{
 "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": 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\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 0x7fc7ce357b20>"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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csjHBHwdTq2gtfJb78L8//kdUbJRV5xTCFiU3MW6glKoJvAp8omnakz6amqb5AbGA6fFQAvfHq+rXNM1X07RATdMCr127lsKwhRBCiMQdOHCAX375hd69e1OyZEmjwwHAzc2NTZs2AdC8eXPCwsKSvH7fxX0sObqEfvX6USxnMavHVyxnMbZ03cKA+gOYGTiThj815MLtC1af156sX7+e8uXLU6ZMmSS/4ZoyZQpeXl5UrlyZjh07EhkZCcC0adOoXLkyXl5eTJ06FYCwsDAaN25MxYoV8fLyitd8JrE5Uzr+WFxcHDVq1OCNN954MpZQXEldn9SvMaX3REZGUqdOHapVq4aXlxfDhg17cv0HH3xAoUKFqFy5crxfR1Ixp4lSKkUfwHCg/6MfvwcEAK5PvT4EGPLUzzcA9ZJ6Zq1atZQQQghhCWazWTVp0kTlz59f3bp1y+hw4gkKClK5cuVSFSpUUNeuXUvwGrPZrF766SVVcHxBdTfybjpHqNSK4ytUrjG5VN6xedUfp/5I9XOOHTuWousXHFqgPKZ4KG24pjymeKgFhxakem5Li42NVaVKlVJnz55VUVFRqmrVquro0aPxrgsPD1eenp4qIiJCKaVU27Zt1U8//aQOHz6svLy81IMHD1RMTIxq2rSpOnXqlLp06ZLav3+/Ukqpu3fvqrJlyz55bmJzpnT8aZMmTVIdO3ZUr7/+ulJKJRpXYtcn9WtMzT1ms1ndu3dPKaVUdHS0qlOnjgoICFBKKbV9+3a1f/9+5eXl9cyv4XkxPy2hv4NAoEokJ33uirGmadk1Tcv5+MdAC+CIpmmvAIOAVkqpiKduWQV00DTNRdO0kkBZYJ8FcnghhBDiuf744w+2bt3KsGHDyJMnj9HhxFOjRg1Wr17NhQsXePXVV7l3L/5pEGtOrWF7yHaGvzycnC450z3G1hVas993P+653Xl94et8sfUL4sxxVp3TdNiE72pfQu6EoFCE3AnBd7UvpsOm59/8HEePHqVZs2aUK1eOUaNG8emnn/L333+n6Bn79u2jTJkylCpViixZstChQwdWrlyZ4LWxsbE8fPiQ2NhYIiIiKFasGMePH6du3bq4urri5OTESy+9xIoVKyhatCg1a9YEIGfOnFSsWJGLFy8mOWdKxx8LDw/njz/+4MMPP3wyllhciV2f1K8xNfdomkaOHDkAiImJISYm5slG2RdffJF8+fLFe05SMadVcjrfFQZWPArSCViolFqvadoZwAXY9Oi1PUqpHkqpo5qmLQWOoZdYfKKUsu5XkxBCCIH+H+uAAQMoV64cPXr0MDqcRL344ossXbqUt99+m9atW7N27donZyzHmmMZtHkQ5fKX46OaHxkWY5l8ZQjoHkCvtb3w3+FPQHgAi95ZRKHshVL1vL7r+3LgyoFEX98TvoeouGfrmiNiIui+sjtz9s9J8J7qRaoz9ZWpSc4bGRlJ27ZtWbZsGaVKlaJChQrUqlWL2rVrP7mmUaNGCX6DMnHiRJo1awbomzlLlCjx5DU3Nzf27o3fIKV48eL0798fd3d3smXLRosWLWjRogXHjx/Hz8+PGzdukC1bNtauXYu3t/cz9164cIHg4GBeeOGFJOdM6fhjffv2Zfz48c/8WitXrpxoXAldn9SvMbX3xMXFUatWLc6cOcMnn3zy5NefmKRiTqvnrhgrpc4ppao9+vBSSvk/Gi+jlCqh9CPcqiulejx1j79SqrRSqrxSal3iTxdCCCEsZ86cOZw4cYLx48fj7OxsdDhJevPNN/npp5/YunUrnTp1IjZWP+jpx+AfOX79OGObjsXZ0dhfQzbnbPzw1g/80OoHdoftpsb3NdgVussqc/03KX7eeHJt3ryZGjVq4OXlRbZs2YiOjqZfv37PXLNjxw4OHDgQ7+NxUgwk2AQloSMAb926xcqVKzl//jyXLl3iwYMHLFiwgIoVKzJo0CCaN2/OK6+8QrVq1XBy+nd98v79+7zzzjtMnTqVXLlyJTlnSscB1qxZQ6FChahVq9YzrycWV2LXJ/VrTM09oJ/5feDAAcLDw9m3bx9HjhyJd39yYrYEyzxFCCGEMNidO3cYNmwYL730Eq1atTI6nGTp0qULN2/epG/fvvTo0YMp301h2LZhNCjRgNYVWhsd3hMf1PiAmkVr8u7Sd3np55cY33w8n9X9LEVnQz9vZddzqichd0LijXvk9mDb+9tSGPG/goODn5QqXLp0iRw5ctCgQYNnrknOirGbm9szGybDw8OflA88bfPmzZQsWZKCBQsC0KZNG3bv3k3nzp3p3r073bt3B2Do0KG4uekn3cbExPDOO+/g4+NDmzZtnjwrsTlTOg6wa9cuVq1axdq1a4mMjOTu3bt07tyZBQsWJBhXUtcn9mvMnTt3iu/p3Lnzk3jz5MnDyy+/zPr16xPccPe0xH4v0yyx4uP0/JDNd0IIIdJq0KBBClCBgYFGh5JiX375pQJUg6ENFMNRu0N3Gx1Sgm4/vK3eXvy2YjiqzZI26vbD20len5LNdwsOLVCu/q6K4Tz5cPV3TfMGvHHjxqm+ffsqpZTq2rWrcnd3T9VzYmJiVMmSJdW5c+eebGw7cuRIvOv27NmjKlWqpB48eKDMZrPq2rWr+uabb5RSSv3zzz9KKaVCQkJU+fLl1c2bN5XZbFZdunRRffr0SfacKR3/rz///POZjXEJxZXU9Un9GlN6z9WrV59sko2IiFANGzZUq1evfnLf+fPn422+S07Mj6V0853hSbGSxFgIIUQanT9/Xrm4uKguXboYHUqqmM1m9X6v9xVDUZVHVjY6nCSZzWY1cddE5TjCUZX5pow6eOVgotfawqkUYWFhqmbNmqpcuXJq0qRJqn379gkmocnxxx9/qLJly6pSpUqp0aNHP/Paq6++qi5evKiUUuqrr75S5cuXV15eXqpz584qMjJSKaVUw4YNVcWKFVXVqlXV5s2blVJK7dixQwGqSpUqqlq1aqpatWrqjz/+eO6cKR1/2n+T1oTiSur6pH6NKb3n4MGDqnr16qpKlSrKy8tLjRgx4sn1HTp0UEWKFFFOTk6qePHiau7cucmO+bGUJsaaSqAeJb15e3urwMBAo8MQQghhp3x8fFi+fDmnTp16ZvORPemxpgezA2ejpitmj53NRx8Zt/EuOXaG7qTdsnbcirzFzNdn8n719+Ndc/z4cSpWrJj+wQnxSEJ/BzVN26+USnC3XqpbQgshhBC2YN++fSxcuJB+/frZbVJ84voJ5gbNpYd3D16p8wo9evTgt99+MzqsJDV0b0jwx8HUc6tHt5Xd+GjVRzyMeWh0WEKkiSTGQggh7JZSin79+lG4cGEGDRpkdDipNnjzYFydXRnReAS//fYbdevWpVOnTmzevNno0JJUOEdhNnXZxNCGQ5kbPJcGPzbg7M2zRoclRKpJYiyEEMJurVixgp07dzJy5Ehy5kz/RhiWsCNkBytPrmRww8EUzF4QV1dX1qxZQ/ny5WndunWCZ+XaEkcHR/yb+rOm4xou3L5Ardm1WHki4cYXQtg6SYyFEELYpejoaAYNGoSXlxcffPCB0eGkilKKAZsGUCxnMfrW7ftkPG/evGzYsIHChQvz2muvcezYMeOCTKbXy71O0MdBlMlXhtZLWjNok76Cbwt7mUTmlJq/e5IYCyGEsEszZszgzJkzTJw40WKH+6e3X4/9yt6LexnVeBSuzq7PvFa0aFE2bdpElixZaNGiBSEh8c/4tTWeeTzZ+cFOetTqwfjd4wm6FsQ/1/6R5FikO6UUN27cIGvWrCm6T06lEEIIYXdu3rxJmTJl8Pb2ZsOGDSlqNGErouOiqfRdJbI5Z+PAxwdwdHBM8LpDhw7x0ksvUbBgQXbs2EHhwoXTOdLUWXBoAYM2DuKr6l9Rp3AdsjqlLEERIq2yZs2Km5tbvC6YSZ1KYZ/fYgshhMjURo8eze3bt5k4caJdJsUAswJncfbWWdZ2WptoUgxQtWpV1qxZ86T97bZt28idO3c6Rpo6nat2pnqR6ry79F1O7z5N24ptCbgYQNidMNxzu+Pf1B+fKj5GhynEM2TFWAghhF05c+YMlSpVomvXrsydO9focFLlTuQdSn9TmupFqrOpy6ZkJffr16/nzTffpF69emzYsIFs2bKlQ6Rpdy/qHs3nN2fvxWc3Ebo6uzL7zdmSHIt0J+cYCyGEyDAGDx5MlixZGDVqlNGhpNq4XeO48fAG45uPT/aK9yuvvML8+fPZuXMn7du3JyYmxspRWkZOl5xcvn853nhETAR+W/wMiEiIxEliLIQQwm7s3LmT3377jYEDB1K0aFGjw0mVsDthTNkzBZ8qPtQsWjNF93bo0IHvvvuO1atX0717d8xms5WitKywO2EJjofeCU3nSIRImiTGQggh7ILZbKZfv34UK1aMfv36GR1Oqn217SvMyox/E/9U3d+zZ09GjRrF/Pnzee211/Dw8MDBwQFPT09MJpOFo7UM99zuKRoXwiiSGAshhLALS5YsYd++ffj7+5M9e3ajw0mVg1cO8suBX+hdpzceeTxS/Rw/Pz9atmzJhg0bCA0NRSlFSEgIvr6+Npkc+zf1j3ccnauzK/5NU/fNgRDWIpvvhBBC2LzIyEgqVKhA3rx52b9/Pw4O9rmu88qCV9h3cR9ne58lb7a8aXqWh4cHoaHxSxE8PDy4cOFCmp5tDabDJvy2+BF6J1ROpRCGkuPahBBC2LVp06YREhLCjz/+aLdJ8aazm9hwdgOTWkxKc1IMEBaWSN1uAsmyLfA5BD5TgVDAHSgIVDE0JCHisc9/XYQQQmQa165d4+uvv+aNN96gSZMmRoeTKmZlZuDmgXjm8eST2p9Y5Jnu7onU7SYybiiTCXx9ISQElNI/+/rq40LYEEmMhRBC2LQRI0bw4MEDJkyYYHQoqWY6ZOLAlQN83eRrXJxcLPJMf39/XF2frdvNli0b/v42WLc7ZAhERDw7FhEBfnJcm7AtUkohhBDCZp04cYJZs2bx8ccfU6FCBaPDSZWHMQ/x2+pHraK1aF+5vcWe6+Oj1+f6+fk92YDn7e39ZDxdRUdDaCicP//vx4UL//746tWE77PRsg+ReUliLIQQwmYNHDiQ7NmzM3z4cKNDSbXp+6YTdjeMX1r/goNm2TdqfXx8niTCgwcPZty4cfz999/Url3bovMQFweXLz+b+D79cfEiPH2mspMTuLtDyZLQqhX8+ivcvh3/ubZY9iEyNTmVQgghhE36888/adKkCWPHjmXQoEFGh5MqNyJuUPqb0jR0b8iaTmusOte9e/coV64cnp6e7N69O9kd9QC97vf69cQT35AQeLrTnqZBsWJ64vvfD09PKF5cT44fe1xj/HQ5hasrzJ4NRqxwi0xNTqUQQghhVx438/Dw8KBPnz5Gh5Nqo/8azb3oe4xtNtY6E5hMep1uaCg53d1Z9OabNJ4zh4ULF8Yvqbh7N/FSh/Pn4cGDZ68vUEBPdGvUgDZtnk1+PTzAJQW10o9jeRQr7u7g7y9JsbA5khgLIYSwOfPnzyc4OJiFCxeSNWtWo8NJlXO3zvHd39/RrXo3KheqbPkJ/rsKGxLCS/Pn81OhQhz55BOiAwPJEh7+b+J78+az9+fIoSe5pUpB06bxV31z5rRsvD4+kggLmyelFEIIIWxKREQE5cqVo3jx4uzZsydlJQE2pONvHVl5YiVnep+hWM5ilp/A01MvcUhErKMjTqVLJ1zqULIk5M+vl0QIkclIKYUQQgi7MWnSJC5evMjixYvtNin+++LfLD6ymC8afWGdpBgSP9FB0+j11lv8uG4dxzZswNPT0zrzC5EByTnGQgghbMbly5cZN24cbdq0oWHDhkaHkypKKQZsGkBB14IMbDDQehMVSyThdndn8PTpaI6ODBxoxfmFyIAkMRZCCGEzvvrqK6Kjoxk3bpzRoaTamlNr2B6yneEvDyeni4XrdJ+W0LnOrq7g74+bmxuDBg1i2bJlbN++3XoxCJHBSI2xEEIIm3D48GGqV69O7969mTJlitHhpEqsOZaqM6sSp+I40vMIzo7O1pno/HkoXx5eeglOn07wpIeIiAgqVqxI3rx52b9/P46OjtaJRQg7k1SNsawYCyGEsAn9+/cnd+7cfPnll0aHkmo/Bf/E8evHGdt0rPWSYoBRo8DREX75RT92zWzWPz916oOrqysTJkzg4MGD/Pjjj9aLRYgMRBJjIYQQhlu/fj0bN27kyy+/JF++fEaHkyr3o+/z1bavqF+iPq0rtLbeRKdO6Qlxz56J1xk/0rZtWxo1aoSfnx+3E+o8J4R4hiTGQgghDBUbG0v//v0pXbo0n3zyidHhpNrkgMlcuX+FCc0nWPc0jeHDIWtWGDz4uZdqmsa0adO4fv06o0aNsl5MQmQQkhgLIYQw1I8//sjRo0cZN24cWbJkMTqcVLly/wrjd43nnYrvUL9EfetNdOQILF4MffpAoULJuqVGjRp8+OGHfPPNN5w8edJ6sQmRAcjmOyGEEIa5d+8eZcuWpWzZsvz11192e25xzzU9mRs8l2P/O0bZ/GWtN9E778DmzfrmuxSUnFy9epWyZcvSsGFD/vjjD+vFJ4QdkM13QgghbNL48eP5559/mDRpkt0mxSeun2BO0Bx61Oph3aR4/35Yvhw+/zxFSTFAoUKF+Oqrr1i7di3r1q2zUoBC2D9ZMRZCCGGI8PBwypUrR+vWrVm4cKHR4aRa68Wt2Xp+K2d6n6FQ9uSVN6TK66/Dnj1w7hzkzp3i26Ojo6lcuTIODg4cPnwYZ2crnpohhA2TFWMhhBA2x8/PD7PZzJgxY4wOJdV2hOxg5cmVDGowyLpJcUAArF0LAwemKikGyJIlC1OmTOHkyZN89913Fg5QiIxBVoyFEEKku6CgIGrVqsWgQYMYO3as0eGkilKKej/UI+xuGKc/PY2rs6v1JmvWDA4f1leLs2dP9WOUUrz22msEBARw+vRpChYsaMEghbAPsmIshBDCZiil6NevHwUKFGDIkCFGh5Nqvx77lb0X9zKq8SjrJsXbtsGWLTBkSJqSYtCPb5s8eTL379+360YqQliLJMZCCCHS1erVq9m2bRsjRowgdyrLAowWHRfNkC1DqFyoMu9Ve896EykFX34JxYtDjx4WeWTFihXp1asXc+bM4eDBgxZ5phAZhSTGQggh0k1MTAwDBgygQoUK+Pr6Gh1Oqs0KnMXZW2cZ32w8jg6O1pto40bYuRO++EJv6mEhw4YNI2/evPTt2xdbKKkUwlZIYiyEECLdfP/995w6dYoJEybg5ORkdDipcifyDiO3j6RJySa8UuYV602klJ4Qe3rCBx9Y9NF58+Zl9OjRbNu2jeXLl1v02ULYM0mMhRBCpIvbt28zfPhwmjRpwuuvv250OKk2btc4bjy8Yf3Wz6tWQWAgfPUVWKEj4EcffUTVqlXp378/Dx8+tPjzhbBHkhgLIYRIF19//TU3b95k4sSJdtvMI+xOGFP2TMGnig81i9a03kRms54Qly0LXbpYZQpHR0emTp3KhQsXmDx5slXmEMLeSGIshBDCqkwmE8WLF2fChAm4urpy7Ngxo0NKta+2fYVZmRndZLR1J/r1Vzh0CIYPByuWnDRu3Jg2bdrw9ddfc/HiRavNI4S9kMRYCCGE1ZhMJnx9fbl06RIADx48wNfXF5PJZHBkKXfwykF+OfALvev0xjOPp/Umio3VV4u9vKB9e+vN88iECROIi4uz66PzhLAUSYyFEEJYjZ+fHxEREc+MRURE4OfnZ1BEqTdo8yDyZM3D0EZDrTvRwoVw8iSMHAmOVjzx4pFSpUrRr18/5s+fz549e6w+nxC2TDrfCSGEsBoHB4cEjwPTNA2z2WxARKmz6ewmWixowcTmE+lXv5/1JoqJgQoV9LbP+/dDOtVi379/n3LlylGiRAkCAgJwcJB1M5FxSec7IYQQhsifP3+C4+7u7ukcSeqZlZmBmwfimceTXnV6WXeyn3/W2z6PGpVuSTFAjhw5GDduHPv27WPBggXpNq8QtkYSYyGEEFYRHR2Ng4NDvBMoXF1d8ff3NyiqlDMdMnHgygH8m/jj4uRivYmiovSEuG5deO01682TCB8fH+rUqcPgwYO5d+9eus8vhC2QxFgIIYRVzJw5k6tXr9K/f388PDzQNA0PDw9mz56Nj4+P0eElS2RsJH5b/ahVtBYdKnew7mRz5kBYGIwena6rxY85ODgwbdo0Ll++zJgxY9J9fiFsgdQYCyGEsLhbt25RpkwZatWqxYYNG+z23OLxu8YzaPMgtnbdSuOSja03UUQElC4N5cvDn38akhg/1rVrV5YuXcqxY8coVaqUYXEIYS1SYyyEECJd+fv7c+vWLSZMsHJ3OCu6EXGDr3d8zWtlX7NuUgwwYwZcuZLutcUJGTNmDE5OTgwYMMDQOIQwgiTGQgghLOrcuXNMnz6dbt26Ua1aNaPDSbXRf43mXvQ9xjUbZ92J7t2DsWOhZUto1Mi6cyVD8eLFGTp0KMuXL2fr1q1GhyNEupLEWAghhEUNHToUJycnRo4caXQoqXbu1jm++/s7ulXvRuVCla072TffwI0b+mqxjfj888/x9PSkb9++xMbGGh2OEOlGEmMhhBAWs2fPHpYsWUL//v0pXry40eGkmOmwCc+pnpT+pjSx5liqF65u3Qlv3YIJE6BVK6hd27pzpUDWrFmZOHEihw8fZs6cOUaHI0S6kc13QgghLEIpRcOGDTl37hynT58mR44cRoeUIqbDJnxX+xIR82+nPldnV2a/ORufKlY6RePLL/VTKA4cABsrO1FK0aRJEw4fPszp06fJmzev0SEJYRGy+U4IIYTVLV++nN27dzNq1Ci7S4oB/Lb4PZMUA0TEROC3xUrtq69fh6lToV07m0uKQe9OOHXqVG7dusWIESOMDkeIdCGJsRBCiDSLjo5m0KBBVK5cmW7duhkdTqqE3glN0XiajR+vH9M2fLh1nm8B1apVw9fXl2+//ZZjx44ZHY4QVieJsRBCiDSbOXMmZ8+eZcKECTg6OhodTqq45064TXVi42ly+TJ8+y34+EDFipZ/vgWNHDmSnDlz8tlnn2EL5ZfpxmQCT09wcNA/m0xGR5Q4idViJDEWQgiRJrdu3WLkyJG0aNGCV155xehwUq2nd894Y67Orvg3tUL76jFjIDoahg2z/LMtrGDBggwbNoyNGzfyxx9/GB1O+jCZwNcXQkJAKf2zr6/NJXGAxGphsvlOCCFEmvTv35/Jkydz4MABqlatanQ4qdZ5eWeWHV1GoRyFuHj3Iu653fFv6m/5jXdhYVCmDLz3HsyebdlnW0lMTAxVq1YlLi6OI0eOkCVLFqNDsi5PTz1p+y8XF6hbN93DSdKePRAVFX/cnmL18IALF9ItDNl8J4QQwiqebuZhz0nxuVvnWHRkEZ++8Clhn4VhHmbmQt8L1jmNYvRo/fMXX1j+2Vbi7OzMlClTOH36NNOnTzc6HOsLTaSuPKGkzmiJxWRPsSb2+20AWTEWQgiRah06dGD16tWcPn2aYsWKGR1Oqn28+mN+Pvgz5/ucp1hOK/46zp6FChWgRw+wwwTzjTfeYMeOHZw6dYrChQsbHY71JLZinM4rm8kisaaYrBgLIYSwuMfNPAYMGGDXSfHFuxf5+eDPdKvezbpJMcDIkeDkBEOHWnceK5k8eTIRERF8YUer3ani7w+urs+Oubrq47ZGYrWoZCXGmqZd0DTtsKZpBzRNC3w0lk/TtE2app1+9DnvU9cP0TTtjKZpJzVNa2mt4IUQQhhDKUW/fv0oUqQI/fv3NzqcNJkcMJk4cxwDGwy07kQnTsCCBdCrFxQtat25rKRcuXL06dOHH374gaCgIKPDsR4fH73+28MDNE3/PHu2Pm5rJFaLSlYphaZpFwBvpdT1p8bGAzeVUmM1TRsM5FVKDdI0rRKwCKgDFAM2A+WUUnGJPV9KKYQQwr789ttvvPvuu8yZM4cPP/zQ6HBS7XrEdTymetCmYhvmvz3fupN16ABr1sD581CwoHXnsqI7d+5QtmxZypcvz19//YWmaUaHJESKWKuU4i3gl0c//gVo/dT4YqVUlFLqPHAGPUkWQgiRAWSEZh6PfbP3GyJiIhjScIh1Jzp0CJYsgb597TopBsidOzf+/v7s3LmTZcuWGR2OEBaV3MRYARs1TduvaZrvo7HCSqnLAI8+F3o0XhwIe+re8EdjQgghMoAZM2Zw9uxZJk6caLfNPADuRt1l+r7pvF3hbSoVrGTdyYYNg9y5oV8/686TTj744AOqV6/OgAEDiIiIeP4NQtiJ5CbGDZRSNYFXgU80TXsxiWsTek8lXr2Gpmm+mqYFapoWeO3atWSGIYQQwkhPN/No2dK+t5DM/HsmtyNvM7SRlTfCBQbC77/rSXHevM+93B44Ojoybdo0QkNDmThxotHhCGExyUqMlVKXHn2+CqxAL434R9O0ogCPPl99dHk4UOKp292ASwk8c7ZSylsp5V3Qzt9WEkKIzMLf35/bt28zYcIEo0NJk4cxD5m8ZzItSrfAu1iCpYaW8+WXkD8/9Olj3XnS2Ysvvki7du0YO3YsYWFhz79BCDvw3MRY07TsmqblfPxjoAVwBFgFvPfosveAlY9+vArooGmai6ZpJYGywD5LBy6EECJ9ZZRmHgA/Bv/I1QdXGdrQyqvFu3bB+vUwaBDkymXduQwwfvx4lFIMGjTI6FCEsIjkrBgXBnZqmnYQPcH9Qym1HhgLNNc07TTQ/NHPUUodBZYCx4D1wCdJnUghhBDCPgwZMgQnJydGjRpldChpEhMXw/jd46lfoj4veiRVGWgBX34JhQvDJ59Ydx6DeHh4MGDAABYtWsSuXbuMDkeINHN63gVKqXNAtQTGbwBNE7nHH7Cd05qFEEKkSUBAAEuXLmXYsGF23cwDwHTYROidUGa+PtO6R41t3Qp//gnTpsVvapCBDBo0iB9//JE+ffqwb98+HBykd5iwX9ISWgghRJKUUjRs2JBz585x+vRpcuTIYXRIqRZnjsNrhhdZnbIS/HGw9RJjpaBBAwgLg9OnIWtW68xjIxYuXIiPjw8//vij3R/hJzI+aQkthBAi1X777Td2797NqFGj7DopBlh+fDknb5xkaKOh1l0tXr8eAgL0UooMnhQDdOzYkfr16zNkyBDu3r1rdDhCpJqsGAshhEhUdHQ0FStWxNXVlQMHDtj1ucVKKWrOrklETATH/ncMRwcr/VqUAm9vuH1bbwPt7GydeWxMYGAgtWvXZuDAgYwbN87ocIRIlKwYCyGESJUZM2Zw7tw5u2/mAbDuzDoOXDnA4AaDrZcUg35mcVAQfPVVpkmKAby9vXn//feZMmUKZ86cMTocIVJFVoyFEEIk6NatW5QuXZratWuzYcMGo8NJE6UUDX9qSPjdcM58egZnRyslrGYzVKsGMTFw5Ag4PXePe4Zy+fJlypUrR9OmTfn999+NDkeIBMmKsRBCiBQbPXp0hmjmAbAjdAe7w3YzoP4A6yXFAEuX6gnxiBGZLikGKFq0KF988QUrV65k06ZNRoeTJqbDJjyneuIwwgHPqZ6YDpuMDilREqvlyIqxEEKIeM6dO0eFChXo2rUrc+fONTqcNGu5oCUHrhzgQp8LZHPOZp1JYmPBywtcXODAAcikx5ZFRUXh5eWFi4sLBw8exMkOv0EwHTbhu9qXiJiIJ2Ouzq7MfnM2PlV8DIwsPok15ZJaMZbEWAghRDzt27dnzZo1nD592u7PLQ68FEjtObUZ23QsgxpasUPbzz9Dt26wYgW0bm29eezAypUrad26NdOnT6dXr15Gh5NinlM9CbkTEm/cxdGFum51DYgocXvC9xAVFxVv3J5i9cjtwYW+F9ItDimlEEIIkWyPm3kMGDDA7pNigDE7x5DbJTc9a/e03iTR0Xr5RK1a8NZb1pvHTrRq1YqmTZvy1VdfcePGDaPDSbHQO6EJjieU1BktsZjsKdbEfr+NYH/vbwghhLAapRT9+vWjSJEi9O/f3+hw0uzYtWMsP76cLxp9QS6XXNab6Kef4MIFmDkTrHk+sp3QNI2pU6dSrVo1hg8fzvTp040OKUXcc7snuGLskduDbe9vS/+AkpDY6rY9xeqe292AaBImK8ZCCCGe+O233wgICGD06NF238wDYOzOsbg6u9Knbh/rTRIZCaNGQf360LKl9eaxM5UrV6Znz57MnDmTI0eOGB1Oivg39cfV+dk23q7Orvg39TcoosRJrJYlibEQQghAb+YxaNAgKleuzPvvv290OGl2/tZ5Fh5eyMe1PqaAawHrTfT993DxIoweLavF/zFixAhy5cpF3759sYU9TcnlU8WH2W/OxiO3BxoaHrk9bHIzG0isliab74QQQgAwdepUPvvsM9avX0/LDLDy2XNNT3488CPnep+jeK7i1pnkwQMoXVo/jWLLFuvMYee+/fZbPv30U37//XfekvprYQPkVAohhBBJunnzJmXKlMkQzTwALt+7jOc0T96v9j7fv/m99SYaPx4GDYJdu/RSChFPbGws1atXJzIykqNHj+Li4mJ0SCKTk1MphBBCJMnf3587d+4wceJEo0OxiEkBk4g1xzKwwUDrTXL3LowbB6++KklxEpycnJgyZQpnz56lSJEiODg44OnpiclkW40dhAA5lUIIITK9c+fOMX36dLp160aVKlWMDifNbkTcYFbgLDpW7kjpfKWtN9HUqXDzpr7xTiTp6tWrODo6cvv2bQBCQkLw9fUFwMfHdupLhZAVYyGEyOSGDBmCs7MzI0eONDoUi5i+bzoPYh4wuOFg601y8yZMmgRvv62fXSyS5OfnR1xc3DNjERER+Pn5GRSREAmTxFgIITKxx808Bg4cmCGaedyLusc3e7/hrfJvUblQZetNNGkS3LunN/UQzxUamnADh8TGhTCKJMZCCJFJPW7mUbRo0QzRzANgVuAsbkXeYmijodab5OpVmDYN2reHDFB6kh7c3RNu4JDYuBBGkcRYCCEyqcfNPEaNGkX27NmNDifNImMjmRQwiWalmlGneB3rTTRuHDx8CMOHW2+ODMbf3x9X1/80dnB1xd/fdho7CAGSGAshRKb0uJlHlSpVMkQzD4Afg3/knwf/MLShFVeLL12CGTOga1coX95682QwPj4+zJ49Gw8PDzRNw8PDg9mzZ8vGO2Fz5FQKIYTIhL777jvOnTvHhg0bcHR0NDqcNIuJi2H8rvHUc6vHy54vW2+ir7+G2Fj46ivrzZFB+fj4SCIsbJ4kxkIIkcncvHmTUaNG0bJlS1q0aGF0OBax6MgiQu6E8O1r36JZqy1zSAjMng3du0PJktaZQwhhKCmlEEKITOZxM48JEyYYHYpFmJWZMTvHULVwVV4v+7r1Jho9Ghwc4IsvrDeHEMJQsmIshBCZSEZr5gGw4vgKTlw/weJ3FltvtfjMGfjpJ/jkE3Bzs84cQgjDyYqxEEJkIoMHD8bZ2ZlRGaRbm1KKr3d+TZl8ZXi30rvWm2jECMiSBYYMsd4cQgjDSWIshBCZREBAAMuWLWPgwIEULVrU6HAsYsPZDQRdDmJwg8E4OlhpE+GxY2AywaefQpEi1plDCGETNKWU0THg7e2tAgMDjQ5DCCEyLKUUDRo04MKFC5w+fTpDnFsM8OJPL3L+9nnO9j5LFscs1pmkXTtYvx7On4f8+a0zhxAi3Wiatl8p5Z3Qa1JjLIQQmcCvv/5KQEAAc+fOzTBJ8Y6QHewI3cG0V6ZZLyk+cACWLYMvv5SkWIhMQFaMhRAig4uKiqJSpUpkz56d4ODgDHFuMcCrplfZf2k/F/pewNXZ9fk3pEarVrBjh75anCePdeYQQqQrWTEWQohMbMaMGRmqmQdA0OUg1p9Zz9dNvrZeUrxvH6xeDf7+khQLkUnIirEQQmRgN2/epEyZMtSpU4f169cbHY7FvLv0XTaf20xI3xByZ81tnUlatoSgIH21OEcO68whhEh3Sa0Yy6kUQgiRgY0ePTpDNfMAOH7tOMuPL6dXnV6WT4pNJvD01Bt5bNwIzZtLUixEJiKJsRBCZFBnz57l22+/5YMPPsgwzTwAxu0aR1anrPR5oY9lH2wyga+v3vr58bupv/+ujwshMgVJjIUQIoMaMmQIzs7OjBw50uhQLObC7QssOLQA31q+FMxe0LIP9/ODiIhnxx4+1MeFEJmCJMZCCJEBZcRmHgATdk3AQXOgf/3+ln94aGjKxoUQGY4kxkIIkcEopfj8888pWrQo/ftbIYE0yJX7V/gh+Afeq/YebrncLD+Bu3vKxoUQGY4kxkIIkcH8+uuv7Nmzh9GjR2eYZh4AkwMmE2OOYVDDQdaZwN8f/nucnaurPi6EyBQkMRZCiAwkKiqKwYMHU6VKFd577z2jw7GYmw9vMjNwJu292lMmXxnrTOLtDXFxkDs3aBp4eMDs2eDjY535hBA2Rxp8CCFEBpIRm3kAfLvvW+5H32dIwyHWm2TSJMiaFU6dgkKFrDePEMJmyYqxEEJkEDdv3mTUqFG0bNmSFi1aGB2OxdyPvs+0vdNoVb4VVQpb6di5K1fgl1+gWzdJioXIxCQxFkKIDOJxM4+JEycaHYpFfR/4PTcf3rTuavE330BMDHz+ufXmEELYPEmMhRAiA3i6mUflypWNDsdiImMjmRgwkSYlm1DXra51Jrl3D2bMgHfegTJWql8WQtgFqTEWQogMICM28wD4+cDPXLl/BVMbK3afmzMH7tyBgQOtN4cQwi7IirEQQti53bt3Z8hmHrHmWMbtGscLxV+gsWdj60wSEwNTpsDLL0Pt2taZQwhhN2TFWAgh7JhSin79+mW4Zh4Aiw4v4sLtC0x7ZRqapllnksWLITxcP5ZNCJHpSWIshBB27HEzjx9++CFDNfMwKzNjdo6hSqEqvFHuDetMohSMHw+VK8Mrr1hnDiGEXZHEWAgh7FRGbeYBsPLESo5fP87CNgtx0KxU9bd+PRw5AvPm6Q09hBCZntQYCyGEnTGZTHh6epI1a1bOnTvHa6+9lqGaeSil8N/hT+m8pWnr1dZ6E40fDyVKQIcO1ptDCGFXJDEWQgg7YjKZ8PX1JSQk5MnY9OnTMZmseGpDOtt0bhP7L+9ncMPBODlY6Y3Nfftg2zbo2xecna0zhxDC7mhKKaNjwNvbWwUGBhodhhBC2DxPT89nkuLHPDw8uHDhQvoHZAUv//wyZ26e4Wzvs7g4uVhnkrZtYdMmCAuDnDmtM4cQwiZpmrZfKeWd0GuyYiyEEHYkNDQ0ReP2ZlfoLraHbGdA/QHWS4rPnIHffoP//U+SYiHEMyQxFkIIO+Lu7p6icXvz9c6vKeBagA9rfmi9SSZN0ssneve23hxCCLskibEQQtgRf39/smbN+syYq6sr/v7+BkVkOcGXg1l7ei19X+hL9ixWOnru6lX4+Wd47z0oUsQ6cwgh7JYkxkIIYUd8fHzw8fEBQNM0PDw8mD179pMxezZm5xhyueTikzqfWG+Sb7+FqCjo1896cwgh7JacYyyEEHYmS5Ys5M6dm1u3blmvI1w6O3n9JL8e+5XBDQeTJ2se60xy/76eGLduDeXLW2cOIYRdkxVjIYSwM0FBQVSvXj3DJMUAY3eNJatTVvrW7Wu9SX78EW7dgoEDrTeHyDBMJvD0BAcH/bMtn4gosVqOJMZCCGFHYmNjOXToEDVr1jQ6FIsJuR3CgkML+KjmRxTKXsg6k8TE6JvuGjaEunWtM4fIMEwm8PWFkBC9c3hIiP5zW0viQGK1NCmlEEIIO3Ly5EkePnyYoRLjibsnAtC/fn/rTbJsGYSG6qUUQjyHnx9ERDw7FhEB3bvDnDnGxJSYPXv0svmn2Vusfn5gK9skZMVYCCHsSHBwMAA1atQwOBLL+Of+P8wNnkvXql0pkbuEdSZRSm//XLEivP66deYQGUpix4L/N6mzBYnFZE+x2tIx7LJiLIQQdiQoKIhs2bJRPoNsHpuyZwrRcdEMbjjYepNs2gQHD+o1xg6yHiSez91df5v/vzw89E7itsTT0/5jtaVj2OVfCCGEsCNBQUFUrVoVJyf7X9e49fAWM/6eQdtKbSmbv6z1JpowAYoVg06drDeHyFD8/cHV9dkxV1d93NZIrJYlibEQQtgJs9lMcHBwhqkv/nbft9yLvsfQRkOtN0lQEGzeDH37gouVWkyLDMfHB2bP1lddNU3/PHu27dTBPk1itSxNKWV0DHh7e6vAwECjwxBCCJt29uxZypQpw+zZs/noo4+MDidN7kffx2OqB/VL1Gd1x9XWm6hjR1i7Vi9izJ3bevMIIeyGpmn7lVLeCb0mK8ZCCGEnHm+8ywgrxnP2z+Hmw5sMbWjF1eLz52HpUujRQ5JiIUSySGIshBB2IigoCCcnJypXrmx0KGkSFRvFxICJNPZsTL0S9aw30eTJ4OgIffpYbw4hRIYiibEQQtiJ4OBgvLy8cLHzWtlfDv7CpXuXrFtbfP06/PADdO6sb7wThrP1jmdCQAoSY03THDVNC9Y0bc2jn1fXNG2PpmkHNE0L1DStzlPXDtE07YymaSc1TWtpjcCFECIzUUqxf/9+uy+jiDXHMm7XOGoXq03Tkk2tN9F338HDh9Dfik1DRLLZQ8czISBlK8Z9gONP/Xw8MEIpVR346tHP0TStEtAB8AJeAWZomuZokWiFECKTunTpEteuXbP7xh5Ljizh3K1z+DXyQ9M060wSEQHTp8Obb0KlStaZQ6RIYp3k/PyMiUeIxCQrMdY0zQ14HZj71LACcj36cW7g0qMfvwUsVkpFKaXOA2eAOgghhEi1jLDxzqzMjNk5Bq+CXrxZ/k3rTfTTT3DjBgwcaL05RIok1tnMljqeCQHJ73w3FRgI5HxqrC+wQdO0iegJdv1H48WBPU9dF/5o7BmapvkCvgDuttTyRAghbFBQUBCaplGtWjWjQ0m1VSdXcfTaURa8vQAHzUpbXGJj9U139epBgwbWmUOkyP79+h7I2Nj4r8l//8LWPPdfJk3T3gCuKqX2/+elnsBnSqkSwGfAD49vSeAx8Q5LVkrNVkp5K6W8CxYsmMKwhRAicwkODqZcuXLkyJHD6FBSzHTYhMdUD95e8jZODk6Yldl6ky1fDufO6avF1irVEMmiFEydqn+PkjNn/P4qttbxTAhIXilFA6CVpmkXgMVAE03TFgDvAcsfXbOMf8slwoEST93vxr9lFkIIIVIhKCjILuuLTYdN+K72JfSO/p55rDmWHn/0wHTYCruulILx46FcOWjVyvLPF8l2/br+R/DZZ/Daa3D6tH5IiC13PBMCkpEYK6WGKKXclFKe6JvqtiqlOqMnuy89uqwJcPrRj1cBHTRNc9E0rSRQFthn8ciFECKTuHHjBqGhoXZZX+y3xY+ImGd3XUXEROC3xQq7rv78U3/fvn9//UwwYYht26BaNdi4Ud8DuWIF5M+vJ8EXLoDZrH+WpFjYouTWGCfkI2CapmlOQCSP6oWVUkc1TVsKHANigU+UUnFpjlQIITIpe95493ilOLnjaTJ+PBQuDF26WP7Z4rliY2HUKP2jbFn44w+oXt3oqIRImRQlxkqpbcC2Rz/eCdRK5Dp/QCqHhBDCAoKCggDsspTCPbc7IXdCEhy3qIMHYcMG+PpryJrVss8WzxUWpq8A79gB770H334LdlgOL4R0vhNCCFsXHByMh4cH+fLlMzqUFPNv6o+T9uwajKuzK/5NLbx2MmGCnon16GHZ54rnWrVKXxkODob58+HnnyUpFvZLEmMhhLBx9rrxDsCnig9FchQhq1NWNDQ8cnsw+83Z+FSxYIFpSAgsXqy3Usub13LPFUmKjITeveGtt/QWz0FBegduIexZWmqMhRBCWNm9e/c4ffo0ne0047gbdZeL9y4y7KVhDHt5mHUmmTpVP+qgb1/rPF/Ec/IkdOgABw7ov+1jx8Y/jk0IeySJsRBC2LCDBw+ilLLbFeO94XtRKOqVqGedCW7ehDlzoFMnKFHi+deLNJs3D/73P72Ue9UqvfO2EBmFlFIIIYQNs+cTKQACwgPQ0Hih+AvWmWDmTHjwQD+iTVjVvXv6gR/vvQe1aumrxZIUi4xGEmMhhLBhQUFBFCpUiKJFixodSqoEhAfgVciL3FlzW/7hDx/CN9/Aq69ClSqWf754IigIataEhQth+HDYuhXc3IyOSgjLk8RYCCFsWFBQEDVr1kSzw/bGZmUmICyA+m71rTPBvHlw9are/llYhVIwbRrUrat/H/LnnzBsGDg6Gh2ZENYhibEQQtioyMhIjh07ZrdlFCeun+BO1B3r1BfHxcHEiVC7Nrz00vOvFyn2uK1z377wyiv6UdEvvmh0VEJYl2y+E0IIG3XkyBFiY2PtduPd7rDdANQvYYUV499/hzNnYNky/UQKYVHbt+v7Ga9f11eMP/1UfptF5iArxkIIYaPsfuNdWAD5s+WnbL6yln2wUnr759Kl4e23LfvsTC42Vq8hbtIEsmeHPXv0s4olKRaZhawYCyGEjQoKCiJ37tyULFnS6FBSZXf4buqVqGf5+ugdO2DfPv1ECil2tZjwcL2t819/QdeuelvnnDmNjkqI9CUrxkIIYaOCg4OpUaOGXW68u/nwJieun6CemxXqi8ePh4IF9XPDhEWsWgXVqsH+/fDLL/qHJMUiM5LEWAghbFBsbCwHDx602/riPeF7ACyfGB85An/8ob+/ny2bZZ+dCUVFQZ8+eltnDw/9WLauXY2OSgjjSGIshBA26MSJE0RGRtp1fbGj5kjt4rUt++CJE8HVFXr2tOxzM6FTp6BePf0o6D59ICAAypUzOiohjCU1xkIIYYPsfuNdeABVC1clR5YclntoeDiYTHo/4vz5LffcTOhxW2cXF1i5Uj+WTQghK8ZCCGGTgoKCyJYtG+XLlzc6lBSLM8ex9+Jeyx/TNnWqfiLFZ59Z9rmZyP37eqnE47bOBw9KUizE0yQxFkIIGxQcHEy1atVwtMNTF45cPcL96PuWrS++fRu+/x7atwdPT8s9NxMJDtbbOptM0tZZiMRIYiyEEDbGbDY/OZHCHlmlscesWfpy54ABlntmJqGUXkdcty5EROgJsbR1FiJhUmMshBA25vz589y9e9eu64sLZy+MZx5PyzwwKkpvv9aiBVSvbplnZhI3bkC3brB6NbzxBvz0ExQoYHRUQtguSYyFEMLGBAUFAdj1inH9EvUtd/7yggVw5Yr+WSTbX3/pbZ2vXZO2zkIkl5RSCCGEjQkODsbJyYnKlSsbHUqKXX1wlbO3zlquvthshgkT9OLYJk0s88wMLi4ORoyAxo31k+0CAqStsxDJJSvGQghhY4KCgvDy8sLFxcXoUFLsSWOPEhZKjFevhpMnYdEiyeySITwcOneG7duhSxf47jvpYCdESsiKsRBC2BClFEFBQXZbX7w7bDfODs7UKlrLMg8cP14/heLddy3zvAzGZNJ/exwcoFAhqFABAgP1ls7z5klSLERKyYqxEELYkEuXLnHt2jW7TYwDwgOoUbQG2Zwt0K551y7YvRumTwcn+e/qv0wm8PXVT5oAvZZY0/TKE2nrLETqyIqxEELYEHveeBcTF8PfF/+mvpuFjmkbP17vcNetm2Wel8H4+f2bFD+mlP59hBAidSQxFkIIGxIcHIymaVSrVs3oUFLs4D8HeRj70DL1xcePw6pV0KsXZM+e9udlQKGhKRsXQjyfJMZCCGFDgoKCKFeuHDly5DA6lBSzaGOPiRMhWzb45JO0PysDUko/cSIh7u7pG4sQGYkkxkIIYUOCg4Ptur7YLZcbbrnS2Gf40iX9zOIPPoCCBS0TXAYzZgw8eADOzs+Ou7qCv78xMQmREUhiLIQQNuL69euEhobaZX0x6CvGFjm/+JtvIDYWPv887c/KgH79Va8v9vHRO9l5eOib7jw8YPZsfVwIkTqyzVcIIWxEcHAwgF2uGF+6d4nQO6F8VveztD3o7l2YOVM/nq1UKcsEl4EEBuonTtSvD3PnQtaskggLYUmyYiyEEDbicWJsjyvGAWEBAGlfMZ49W0+OBwywQFQZS3g4tGoFhQvDihV6UiyEsCxZMRZCCBsRFBSEh4cH+fLlMzqUFNsdthsXRxdqFE1DUh8dDVOm6K2fvb0tF1wG8OCBnhTfvw8bN+rNPIQQlieJsRBC2Ah733jnXcybLI5ZUv+QhQv1jXc//mi5wDIAs1lv83zwIKxZA5UrGx2REBmXlFIIIYQNuHfvHqdOnbLLMoqo2Cj2X96ftmPazGa9ZVvVqtCiheWCywCGDoXff9cX01991ehohMjYZMVYCCFswMGDBwH73HgXdDmI6LjotNUXr10Lx47px7RpmuWCs3M//wzjxkHPnvDpp0ZHI0TGJyvGQghhA+y5FfTjxh5p6ng3YYLemaJdOwtFZf/++gt8faFZM5g2Tb5fECI9yIqxEELYgKCgIAoXLkzRokWNDiXFAsIDKJmnJEVyFEndA/bs0bPAqVPjd6zIpM6ehbffhtKlYdky+W0RIr3IirEQQtiA4OBgatSogWZny4JKKb2xR1pXi/Pmhe7dLReYHbt9G954Q18hXrMG8uQxOiIhMg9JjIUQwmCRkZEcPXrULuuLQ++Ecvn+Zeq7pXLj3alT+qG8//sf5Mhh2eDsUGysXk1y9iwsX66vGAsh0o+UUgghhMGOHDlCXFycXSbGAeGPGnukdsV40iTIkkV2lgFKQe/esGmTfmLdiy8aHZEQmY+sGAshhMHsfeOdq7MrVQtXTfnNV67AL7/A++/r7dwyuW+/1bthDxwI3boZHY0QmZMkxkIIYbDg4GBy585NyZIljQ4lxQLCA6hTvA5ODql4A3L6dL3bXb9+lg/MzqxbB337QuvWMGaM0dEIkXlJYiyEEAYLCgqyy413ETERHLhyIHX1xffuwYwZ0KYNlC1r+eDsyJEj0L49VKumH+PsIP8zC2EY+fITQggDxcbGcujQIbusLw68FEisOTZ19cVz5+rHLwwYYPG47MnVq/Dmm/q+w1WrIHt2oyMSInOTzXdCCGGgEydOEBkZabf1xQB13eqm7MaYGL2/8UsvwQsvWCEy+xAZqZ9V/M8/+jHObm5GRySEkMRYCCEM9HjjnT2uGAeEB1AufzkKuBZI2Y1LlkBYGMyaZZ3A7IBS8NFHsHu33sDD29voiIQQIKUUQghhqODgYLJly0b58uWNDiVFnjT2cEthGYVSMH48eHnBq69aJzg78PXXej3x6NHw7rtGRyOEeExWjIUQwkBBQUFUq1YNR0dHo0NJkbO3znI94jr1S6Rw492GDXD4MPz8s97aLRP69Vf44gvo3BmGDjU6GiHE02TFWAghDGI2mzlw4IB9llGEPWrskdIV4/HjoXhx6NjRClHZvr//hq5doX59ff9hJv3eQAibJYmxEEIY5Ny5c9y9e9duN97lcslFpYKVkn/T33/Dn3/CZ5/p3e4ymfBweOstvZfJihXg4mJ0REKI/5JSCiGEMEhwcDBgvxvvXij+Ao4OKSgBmTABcufWd51lMvfv68ey3b+vt3wuVMjoiIQQCZEVYyGEMEhQUBBOTk54eXkZHUqK3Iu6x+Grh5NfX2wy6eUTy5bpm+9Wr7ZugDbGbIYuXeDQIf1ADjv74xYiU5EVYyGEMEhQUBCVK1fGxc7eU993cR9mZU5efbHJBL6+EBGh//zuXf3nAD4+1gvShgwdCr//Dt98k6kP4hDCLsiKsRBCGEApRXBwsN3WF2tovOCWjOYcfn7/JsWPRUTo45nATz/BuHHQsyf06mV0NEKI55HEWAghDHDx4kWuXbtmt/XFlQpWIk/WPM+/ODQ0ZeMZyPbt8PHH0Lw5TJsmJ1AIYQ8kMRZCCAPY68Y7szITEB6Q/GPa3N1TNp5BnDkDbdpA6dKwdCk4OxsdkRAiOSQxFkIIAwQFBaFpGlWrVjU6lBQ5ef0ktyNvJ3/j3SefxB9zdQV/f8sGZkNu3YI33tBXiNesgTx5jI5ICJFckhgLIYQBgoODKV++PDly5DA6lBQJCH/U2KNEMleMb9/WP7u56ZmihwfMnp1hN97FxEC7dnDuHCxfrq8YCyHsh5xKIYQQBggKCqJhw4ZGh5Fiu8N2ky9bPsrlL/f8i81mmD9fP4ph7VrrB2cwpaB3b9i8Wd909+KLRkckhEgpWTEWQoh0dv36dcLCwuyuvhj0FeO6bnVx0JLx38e2bRAWpvdAzgSmT4dZs2DQIHj/faOjEUKkhiTGQgiRzh5vvLO3o9puPbzFsWvHqO+WzPriefMgVy69D3IGt26d3um6dWv4+mujoxFCpJYkxkIIkc6CgoIA+0uM917cCySzvvjBA/j1V73gNls2K0dmrCNHoH17qFYNFiwAB/mfVQi7JV++QgiRzoKDg/H09CRfvnxGh5Iiu8N246A5UKd4nedfvHy5nhxn8DKKq1f1Eyhy5IBVqyB7dqMjEkKkhWy+E0KIdBYUFGR3q8Wg1xdXLVyVHFmScZLGvHlQsiQ0aGD9wAwSGQlvv60nx3/9pR+8IYSwb7JiLIQQ6eju3bucPn3a7jbexZnj2Bu+N3mNPcLDYcsWfbU4g9YVKAUffgi7d+vfA3h7Gx2REMISMua/WEIIYaMOHjwI2F998dFrR7kXfS95jT1MJj1z7NLF+oEZ5Ouv9V+mvz+8+67R0QghLCXZibGmaY6apgVrmrbmqbFPNU07qWnaUU3Txj81PkTTtDOPXmtp6aCFEMJePd54Z28rxgFhjxp7PG/FWCn45Re9hCKDdrdYtgy++ELP+4cMMToaIYQlpaTGuA9wHMgFoGlaY+AtoKpSKkrTtEKPxisBHQAvoBiwWdO0ckqpOItGLoQQdig4OJjChQtTtGhRo0NJkd3huymUvRCl8pZK+sL9++H4cfj++/QJLJ39/bdeIdKgAcyZozfzE0JkHMlaMdY0zQ14HZj71HBPYKxSKgpAKXX10fhbwGKlVJRS6jxwBkjGFmYhhMj4goKC7G61GPQV43pu9dCelwnOmwcuLvoxbRlMWBi0agVFisCKFfovUwiRsSS3lGIqMBAwPzVWDmikadpeTdO2a5pW+9F4cSDsqevCH409Q9M0X03TAjVNC7x27VrKIxdCCDsTGRnJsWPH7C4xvvbgGqdvnn5+fXF0NCxapDf0yJMnXWJLL/fv60nxgwewZg0ULGh0REIIa3huYqxp2hvAVaXU/v+85ATkBeoCA4Clmr6UkNBygoo3oNRspZS3Usq7oPwLI4TIBA4fPkxcXJzdbbzbE74HSEZ98bp1cP16hju72GyGzp3h0CFYuhS8vIyOSAhhLcmpMW4AtNI07TUgK5BL07QF6CvBy5VSCtinaZoZKPBovMRT97sBlywbthBC2J/HraDtbcV4d9hunByc8C72nDPJ5s2DQoWgZcbacz1kCKxcCd98A6+8YnQ0Qghreu6KsVJqiFLKTSnlib6pbqtSqjPwO9AEQNO0ckAW4DqwCuigaZqLpmklgbLAPuuEL4QQ9iMoKIg8efLg6elpdCgpEhAeQI0iNcjmnERr55s3YfVq8PEBp4zTO+qnn2D8ePjf/6BXL6OjEUJYW1rOMf4RKKVp2hFgMfCe0h0FlgLHgPXAJ3IihRBC/Nvx7rkb2GxITFwMf1/6+/llFEuWQExMhiqj2L4dPv4YmjeHadPkBAohMoMUJcZKqW1KqTce/ThaKdVZKVVZKVVTKbX1qev8lVKllVLllVLrLB20EELYm5iYGA4dOmR39cWH/jlEREzE8zfe/fILVKkC1aqlT2BWYjKBp6fesK9JEyhQQK8rzkCL4EKIJEjnOyGESAcnTpwgKirK7uqLA8IfNfYokcSK8cmTsHcvvPeeXS+rmkzg6wshIXqfErMZbt2CP/4wOjIhRHqRxFgIIdLB44139rZivDtsN8VzFqdErhKJXzR/vr7E2qlT+gVmBX5+EBHx7FhkpD4uhMgcJDEWQoh0EBQURLZs2ShfvrzRoaRIQHgA9Uok0djDbNYT4xYtwM66+f1XaGjKxoUQGY8kxkIIkQ6Cg4OpXr06jo6ORoeSbJfvXebC7QvUd0uivnj7dj1ztPNNd9HRkDVrwq+5u6dvLEII40hiLIQQVmY2mwkODra7Mopk1RfPmwe5ckHr1ukTlBXExupVIA8fQpYsz77m6gr+/sbEJYRIf5IYC2FHTCYTnp6eODg44OnpiclkMjokkQznzp3j3r17drfxbnfYbrI4ZqFGkUQS+gcP4NdfoW1byJbEGcc2LC4O3n8ffvsNpkyBH38EDw99D6GHB8yerR/NLITIHOQAGiHshMlkwtfXl4hHu4NCQkLw9fUFwEf+57ZpQUFBgP1tvAsID8C7mDcuTi4JX7BiBdy/b7dlFGazfk6xyQRffw19++rj8uUkROYlK8ZC2Ak/P78nSfFjERER+MmWeZsXFBSEs7MzXl5eRoeSbFGxUey/tD/pxh7z5kHJktCwYfoFZiFKQe/e8MMP8OWXettnIYSQxFhYnD293W86bMJzqicOIxzwnOqJ6bDtxhqayNb4xMaF7QgODsbLywsXl0RWXm1Q8JVgouKiEm/scfEibN4MXbroR7XZEaVg4ED47jvo3x9GjDA6IiGErbCvf82EzTOZTHz00UeEhISglHrydr8tJsemwyZ8V/sScicEhSLkTgi+q31tNjl2T2RrfGLjwjYopQgKCrK7+uKAsEcb7xJbMTaZ9AyzS5d0jMoyhg2DiROhVy8YP96ue5IIISxMaoxFsj148IBLly5x8eJFLl269OTj6Z+fO3cu3n2P3+63tTrYoVuGEhHzn9KEmAj8tvjhU8W2YgUYPXo0Xbt2RSn1ZMzFxQV/2TJv0y5evMj169ftLjHeHb4bzzyeFM2ZwNnESuktoOvXhzJl0j+4NBgzBkaNgg8/hGnTJCkWQjxLEmNBdHQ0V65ciZfk/vfHd+/ejXdv9uzZKV68OMWKFaNu3boJJsZg7Nv9ETERnLpxihPXT3Di+glO3jjJiesnCL2TSGlCIuNGK1GiBEopChQowI0bN3ByciJLliw0adLE6NBEEuxx451Sit1hu3nJ46WELwgKgmPH4Pvv0zewNJo6FYYO1TfXzZpldxUgQoh0IImxHTCZTPj5+REaGoq7uzv+/v7JWn01m81cu3btuQnvtWvX4t3r7OxMsWLFKFasGJUqVaJ58+ZPfl6sWLEnyXDOnDmf6Yi1a9cuQkJC4j3P2m/3K6X458E/T5Lfpz9C7vwbj4ZGybwlKZ+/PGeznOVe9L34sea2zdIEk8lE9uzZuXDhAtmzZ+fYsWN4e3vTuXNnNm7caFeNIzKT4OBgNE2jWrVqRoeSbGF3w7h071Li9cXz5oGLi35Mm52YNQs++wzefRd+/hnky0UIkRBJjG1cYkd0RURE0KBBgyQT3itXrhAbG/vM8zRNo1ChQhQvXhw3Nzfq1KnzJMl9OuHNnz8/DqlYTvH3938mXgBXV1eLvd0fHRfN2Ztnn1n5ffxxJ+rOv3M6u1KhQAUauDege/7uVChQgQoFKlAmXxmyOevnrT6uMX66nMLV2RX/prZXmhAVFcWyZcto3bo12bNnB6BSpUp8++23dO/enTFjxvDFF18YHKVISFBQEOXLl3/y52YPkqwvjo6GhQuhVSvImzedI0udn3+Gnj3hzTf10mgn+Z9PCJEI+efBxiV2RNfj82uflidPnieJbYUKFRJMeAsXLoyzs7PV4n28ku3n50dISAiOjo58//33Ka4vvvXw1rMrvzf0z2dvniVOxT25rljOYlQoUAGfKj5Pkt8KBSpQPFdxHLSkE/vHdcR+W/yerCoPajDIJuuL161bx+3bt+P9Pnbr1o0tW7YwbNgwXnrpJRo1amRQhCIxQUFBvPjii0aHkSK7w3aTzSkbVQtXjf/i+vVw/brdnF28eDF07w7Nm8PSpfE72wkhxNMkMbZxSdXmLlq06EnSW7RoUVxdXdMxsiRUBfoCdyDudhwnnE8keFmcOY6QOyH66u/1k88kwFcfXH1yXRbHLJTNV5YqharQtlLbJ8lvufzlyOWSK02h+lTxwaeKD3ej7lJsUjHO3z6fpudZi8lkomDBgjRv3vyZcU3TmDVrFvv27aNTp04cOHCA/PnzGxSl+K9r164RHh5uV/XFoDf2qFO8Ds6OCXwTPW8eFCoELVumf2AptGIFdO4MjRrB779D1qxGRySEsHWSGNsopRTz5s1L9HUPDw86dOiQjhElT7zyhDww9thYsv2VjZJ5Sz6zCnzqximi4qKe3Js/W34qFKjAm+XefGb11zOPJ04O1v2rmsslF52rduaXg78wqcUk8mXLZ9X5UuLOnTusXr0aX19fnBJ4DzhnzpwsWbKEevXq8f7777Nq1apn6r6FcYKDgwHs6kSKhzEPCb4STP96/eO/ePMmrF4N//sfWPGdJ0tYuxbat4c6dfSQbWXdQAhh2yQxtkFXrlzB19eX1atXU65cOUJDQ4mMjHzyuiVrdi3Nb4tfvCPQ4hzi+OJPvf7VQXOgVN5SVChQgZalWz5JfssXKE8B1wJGhPxED+8efL//e+YdnEffun0NjeVpy5cvJyoqKslylJo1azJhwgT69OnDtGnT6Pu4t62BTIdN+G3xI/ROKO653fFv6m+TZSrW9Dgxrl69urGBpEDgpUBizbEJb7xbskSvMbbxMootW6BNG6hSRU+Qc+Y0OiIhhL2QxNiGKKVYsmQJn3zyCREREUyePJnevXuzePHiVJ1Kkd5izbHPnADxX0d6HqFMvjK4ONlm96/qRapT160uswJn0eeFPjaz6moymShdujR16tRJ8rpPP/2UrVu3MnDgQBo2bIi3t3c6RRjff985eNw8BchUyXFQUBCenp7ky2c770A8T0C4vvGurlvd+C/Om6dnmzac6O/Yoe8LLFcONm6EPHmMjkgIYU/kFEcbce3aNdq2bUvHjh0pW7YswcHBfPbZZzg6OuLj48OFCxcwm81cuHDBJpPinaE78Z6deCKWLSobXoW8bDYpfqynd09O3jjJnxf+NDoUQG8OsXXrVnx8fJ6bqGuaxo8//kiRIkXo0KFDgudOp5eE3jl43DwlMwkODrarMgrQN96VzVeWgtkLPvvCqVOwZ4++Wmwj3zT+17598Prr4O4OmzaBlNsLIVJKEmMbsHz5cry8vFi9ejVjxoxh586dVKhQweiwkuXyvct0WdGFRj814ubDm/Su0xtX52eL+ZyUE5FrIxM8L9lwJhN4euon/Xt60u5QHPmy5WNm4EyjIwNg8eLFKKWS/c1Qvnz5WLRoERcuXODjjz9+pkteerK35inWcPfuXU6fPm1XG++UUgSEB1CvRALHtM2fr3+ddOqU/oElQ3Cwvh+wYEHYvBkKFzY6IiGEPZLE2EA3b97Ex8eHd955hxIlSrB//34GDx6c4AYrWxMTF8PkgMmU/7Y8S48uxa+RH8c/Oc60V6cx+83ZeOT2QEPDI7cHo2qPQh1ULF261Oiwn2Uyga8vhIToLW5DQsjaoxfdXOry+4nfuXzvstERYjKZ8Pb2ply5csm+p0GDBowcOZLFixfzww8/WDG6xCXWJKVE7hLpHIlxDhw4ANjXxrtzt85x9cFV6rv9p77YbNbLKJo3h2LFjAkuCUeP6qHlygVbt0Lx4kZHJISwV5IYG2TNmjV4eXmxdOlSRowYwZ49e6hcubLRYSXLn+f/pPr31em3sR8N3RtypOcRRjcZTfYsegMDnyo+XOh7AfMwMxf6XmDw64OpWrUq8+fPNzjy//Dzg/+cEU1EBB//cIBYcyw/BBuTVD52/PhxgoODU1U6M3jwYJo1a0bv3r05evSoFaJLmn9T/wTPkS7kWoio2KgE7sh4Hm+8s6cV48f1xfFWjP/6C0JD4b33DIgqaadOQdOm+vnEW7aAh4fREQkh7Jkkxunszp07dOvWjTfffJOCBQuyb98+vvrqK6s23bCU8LvhtP+1PU3mNeFhzENWdljJH53+oGz+ss+9t0uXLuzdu5dTp06lQ6TJcPKkvlKcgLJHLtOsVDNm759NnDkuwWvSg8lkwsHBIVXH8jk4ODB//nxy5sxJu3bt4jWJsbaqhapiVmbyuOR58s5Bl6pdCLwcSJulbXgY8zBd4zFCUFAQRYoUoWjRokaHkmwBYQHkzJITr4Jez74wb55+tMNbbxkTWCLOn9eTYrNZT4rLlDE6IiGEvZPEOB1t3LiRypUrM3/+fPz8/AgMDLSL1aSo2CjG7hxL+W/Ls+rkKka8PIKj/ztKq/Ktkn1yQ6dOndA0DZPJZOVok2A2w7p18OqrkFQNt7s7Pb17EnY3jD9O/5F+8T1FKcXChQtp2rQpRYoUSdUzihQpwoIFCzh+/Dh9+vSxcIRJm7JnCq7Orpztc/bJOwfz3p7H7Ddms+70Ot5Y9AYPoh+ka0zpLTg42C6+vp+2O3w3L7i9gKOD47+DDx7AsmXQtq1NHQYcFgZNmuhv+mzeDBUrGh2RECIjkMQ4Hdy7d4+PP/6Yli1bkjNnTgICAhg9ejRZ7KA36foz66kyswpDtgyhRekWHP/kOF+99BXZnLOl6DnFihWjadOmLFiwIP03hN2/D999B5UqwWuvwYEDMHIkzJgR/z96R0fw9+fNcm9SLGcxZgXOSt9YHwkICOD8+fNpPoGkefPmDB48mLlz57J48WILRZe0K/evYDps4v1q78drlPJRrY/4pfUvbLuwjVdMr3A3yriTM6zp4cOHHDt2zK7qi+9H3+fQP4eo5/afMorff9e/hmzo7OLLl/WV4ps39SPZqibQuVoIIVJDEmMr+/PPP6latSpz5syhf//+BAUFUbt2baPDeq4Lty/w9pK3edX0KgDrfNaxov0KPPN4pvqZXbp04dy5cwQEBFgoyuc4dw769QM3N+jVS9+Zs2CBXkLx5ZfQsyfMnq0XJWoa5M4NcXGQNSvOjs58WOND1p9Zz/lb6d8m2mQykTVrVt5+++00P2vkyJHUr18fX19fzpw5Y4Hokjbj7xnExMXQp27Cq9RdqnVh0TuL2BO+h+bzm3Pr4S2rx5Tejhw5QlxcnF0lxvsu7sOszPEbe8ybp5/c0qiRIXH917Vr0KwZXLqkvwFUq5bREQkhMhSllOEftWrVUhnN/fv31aeffqoAVaZMGbVr1y6jQ0qWiOgINWLbCJV1dFbl6u+qxuwYoyJjIi3y7Lt376ps2bKpHj16WOR5CTKbldq6Vam33lJK05RyclKqQwelAgKef290tFK1ailVoIBS//yjwu6EKccRjmrQpkHWizfBMKJVgQIFVPv27S32zJCQEJU3b15Vs2ZNFRlpmT/PhERER6gC4wuoNxe++dxrfz/+u8oyKouqPqu6unr/qtViMsKsWbMUoM6dO2d0KMk2evtoxXDUzYib/w6Ghyvl4KDUl18aF9hTbtxQqlo1pbJmVerPP42ORghhr4BAlUhOanhSrDJgYrxz505VpkwZBajevXurBw8eGB3Sc5nNZrXyxEpVcmpJxXBUu2XtVOjtUIvP06lTJ5U3b14VFRVl2QdHRCg1d65SVavqf60LFFDKz0//jz0lDh9WKksWpd55RymzWbVe3FoVGF/AYt8cJMeaNWsUoFatWmXR565YsUIBqk+fPhZ97tNmB85WDEf9ef7PZF2//vR6lXV0VlXpu0rq8r3LVosrvfn6+qo8efIos9lsdCjJ9prpNVXpu0rPDo4bp389nTplTFBPuX1bqdq19S/PDRuMjkYIYc8kMU4nERERql+/fkrTNOXp6an+tJMljdM3TqvXTK8phqMqfVdJbTm3xWpzrV27VgFqxYoVlnlgWJhSQ4YolT+//te5alWlfvhBT5RTa8wY/VkLF6oNZzYohqNMh0yWiTcZOnbsqPLly2f5bx6UevIuxsqVKy3+7DhznKr4bUVVY1aNFCWEW89tVdn9s6ty08upsDthFo/LCLVr11aNGzc2OoxkizPHqXzj8qnuK7v/O2g2K1WpklL16hkX2CP37inVoIH+BpCFv18UQmRCkhingz179qgKFSooQPXo0UPdvXvX6JCe637UfeW3xU9lGZVF5fw6p5q0e5KKjo226pwxMTGqUKFCqk2bNql/iNms1O7dSrVvr5Sjo/5Wb+vW+nurllihi4lR6oUXlMqbV8VdDFelp5VWjX5slPbnJoO1y00iIyNVjRo1VL58+VRoqGXfEVh7aq1iOGr+wfkpvndnyE6Va0wuVXJqSXXupv2UHyQkOjpaubi4qH79+hkdSrIdv3ZcMRz1Q9AP/w7u36//FzFrlnGBKf173MaN9S/zpUsNDUUIkUEklRjL5rs0ioqKYujQodSvX5/79++zceNGZs6cSc6cOY0OLVFKKX499isVv6uI/w5/2nm142Svk3xe73OcHa17nrKTkxMdO3ZkzZo13LqVwk1X0dH65rkXXoD69WH9eujbF86cgRUr4OWX9U10aQ8SfvkFHj7EoUdPPq7ly47QHRy5eiTtz36O33//nYcPH6b5NIrEuLi4sGTJEqKjo+nYsSOxsbEWe/bkPZMplrMY7bzapfjeBu4N2NJ1C7cjb/Pizy9y6oaNnHedCidOnCAqKsqujmoLCHvU2OPpEynmzdO7ZrRL+Z+npURFQZs2sG2b/iXZtq1hoQghMglJjNMgODiY2rVrM2bMGN577z2OHDlC8+bNjQ4rScevHafFgha0XdaWvNny8tf7fzH/7fkUzZl+TQi6dOlCdHQ0y5YtS94N//yjH6/m4QFdusDdu/rxa+HhMHEilCxp+SDLlwd/f1i9mm4nXXFxdEmXo9tMJhMeHh7Ur1//+RenUtmyZfn+++/ZtWsXw4cPt8gzD/1ziM3nNvNpnU/J4pi6Ywi9i3nz53t/EhUbxUs/v8Sxa8csElt6CwoKAuyrFXRAeAB5suahfIHy+kBMDCxcCK1aQd68hsQUEwPt2+vf/86eDZ07GxKGECKzSWwpOT0/7K2UIjo6Wg0fPlw5OTmpokWLqtWrVxsd0nPdjbyr+m/or5xGOqncY3Kr6Xunq5i4GENiMZvNqmLFiqpRo+eUJ+zfr9R77+m7bUCpV19Vav16peLi0iVOFRurVMOGSuXOrTrPb6Nyfp1T3Yu6Z7Xprly5ohwcHNSQIUOsNsfTPvjgA6Vpmtq0aVOan9Xt927K1d9V3Yi4keZnHb16VBWdWFQVGF9ABV8OTvPz0lufPn2Uq6urio2NNTqUZPP6zku9uuDVfwdWrdK/5gz6ty02Vq+UAqWmTzckBCFEBobUGFvOoUOHVI0aNRSgfHx81I0baU8ErMlsNivTIZMqOrGoYjiq+8ru6p/7/xgdlvL391eAOn/+/LMvxMQotWyZnpCCUtmzK/XJJ0qdOGFInOrMGaVcXdWud+oohqNmB8622lTTpk1TgDpy5IjV5nja/fv3VcWKFVXhwoXVlStXUv2cy/cuqyyjsqj/rfmfxWI7df2UKjG5hMozNo/aG77XYs9ND40aNVL1bGDDWnLdenhLacM1NXLbyH8H331XqYIF9SMM01lcnFJdu+pf/uPHp/v0QohMIKnEWEopkik2NpYxY8ZQq1YtwsPDWb58OQsWLCBfvnzPv9kgh/45xMu/vIzPch+K5SzGnu57mNtqLoWyFzI6tCc1tE9aRN+8CePHQ+nSeiHhxYswebL++dtv9dIGI5QuDePHU++3fVRxKs7MwJn6d5RWYDKZqFatGl5eXlZ5/n9lz56dpUuXcufOHbp27YrZbE7Vc57X0CM1yuYvy1/d/iJftnw0m9eMnaE7LfZsazKbzQQHB9tVGcXe8L0o1L+NPW7ehFWroFMncLbunoP/Ugr+9z+9vHnECBgwIF2nF0IIWTFOjmPHjqk6deooQL377rvq6lXbbkZw6+Et1Xttb+U4wlHlG5dPfR/4vYqNs723dV988UX1uqenMn/0kVLZsulLRI0bK/X77/p7qbYiLk6pxo3VjAYuiuGoPWF7LD7FqVOnFKDGG7BE9v333ytAjRkzJsX3RkRHqPzj8qtWi1pZITKlwu+Eq3LTyylXf1erHiNoKY//HOfOnWt0KMk27M9hymGEg7ob+egknZkz9a/F/fvTNQ6zWak+ffSpBw+2zAEzQgiREKSUInViY2PVxIkTlYuLi8qXL59avHix0SElKc4cp34M+lEVHF9QacM11XNNT3X9wXWjw4ovLk6pVatUeMWKSoGKc3FR6sMPlTp0yOjIEnf+vLqbN7vK8YWjem95V4s/fvjw4UrTNBUWlv7n+JrNZtWuXTvl6OiY4g6N3wd+rxiO2nZ+W/wXFyxQysND70Do4aH/PBWu3LuiKs+orFxGuai1p9am6hnpZfHixQpQQUFBRoeSbM3nNVfVZlb7d6BePaUqV07XzNRs1pNh0JNjSYqFENYkiXECFhxaoDymeChtuKY8pnioBYee/U/71KlTqkGDBgpQrVq1Upcv23ZXrsCLgaru3LqK4ai6c+uq/ZfSd7UnWe7cUWrqVKVKl9YT4mLF1BeOjmrIRx8ZHVnyzJ6teryOyjrc2SKbzB4zm82qbNmy6uWXX7bYM1Pq9u3bqlSpUsrd3T3ZdfNJNvRYsEApV1f9n5jHH66uqU6Orz24pmrMqqGcRzqrFcdXpOoZ6WHQoEHK2dnZKs1ZrCE2LlblGpNL9Vj96NzsU6eUEcW9I0bo0378sSTFQgjrSyoxzpQ1xqbDJnxX+xJyJwSFIuROCL6rfTEdNmE2m5k+fTrVqlXjyJEj/PLLL/z+++8UKVLE6LATdCPiBj3X9KT2nNqcu3WOn976iV0f7KJmUQNrHE0m8PQEBwf98+TJ0KcPuLnp5w4XLgxLluBw4QIn3n6bub//TkxMjHHxJteHH9IjSz0iieGXzZMs9tjAwEBOnz5NZwPPo8qdOzeLFy/m8uXLdO/eXf+u+Tk2nNnA8evH+bze52j/PT/azw8iIp4di4jQx1OhgGsBtr63lZpFa/Lu0ndZcmRJqp5jbUFBQVSuXJksWVJ3ZF16O3btGHej7lKvxKPzi+fN079urXSOdkImTIBhw+C992DGDMscRS6EEKmWWMacnh/pvWLsMcVDMZx4HwXGFlC136ityIVq9lozi3cGs6TYuFg16+9ZKt+4fMpxhKPqs66PuvXwltFhJbxSCHrbqs6dlfr772cuX7lypQLUH3/8YVDAKRQWpur5OqpyA7Ipc4xljrvr06ePypIli7p165ZFnpcWkyZNUoCanowzsprNa6aKTSqmomITWB3VtPh/Bx5/nDmT6vjuRt5VjX5spBxGOKifg39O9XOswWw2qwIFCqgPPvjA6FCS7XEpzOkbp/USJw8PpVq0SLf5v/lG/yvRvr1tbSsQQmRsJLFi7GRwXm6I0DuhCY5fj7zOde/r4A2b2UzJn0qSO2tu8mbNS56seeJ9JDSeN9u/Y9mcssVfSUsF02ETflv8CL0Tintud7pV78bqU6vZf3k/L3q8yPRXp1O1cNU0z2MRCa0UAhQtCvPnxxt+5ZVXyJ8/P/Pnz+e1115LhwDTyM2NnlU/oOv1OWyd3IumA9PW9CM2NpbFixfzxhtvkCdPHsvEmAafffYZW7dupV+/fjRo0CDR7m2PG3qMaTom4YYehQrpjVkSUqYMNGoE77+vn0CSgi6ROV1yss5nHa2XtOb9le8TGRvJx94fJ/t+awoPD+f69et2dSJFQHgABVwLUDpvafjrLwgJga+/Tpe558yB3r2hdWv9nwZHx3SZVgghkpQpE+N8Tvm4EXsj3rhjpCPfvvItTjmduB15O97HrchbXL5++cnPI2ISSACf4uzgHC9ZzpM1D3lcEhhLINl2cXJ5UvbxeK6QOyEM3z6c3C65MbUx0bFyR4sk3xYTmvA3HVy6lOBwlixZaN++PT/++CN3794lV65cVgzOMtr6TuOzkT8zM3gOTU/0hQoVUv2srVu38s8//1itBXRKaZrGzz//TPXq1Wnfvj379+9PsL35lD1TcHV2xbeWb/yHHDmidyfUNH2N+DFXVxg7Fh48gJ9/hu7doVcveOcdPUlu3Fh/G/85smfJzuqOq3l36bv0+KMHkbGRFj0qLrWCg4MB++p4tztsN/VL1Nf/DZk3D3Lk0DNVK1uwAD7+GF55BRYvTvdT4YQQIlGZMjFmM1AfeHqhKxpy78lNjzE9kv2Y6LjohBPoh7eeHYv6dyzkdsiTJDs6LjrJ52d1ykp0XDRmFf982VwuuehUpVOyY00XAQGJv+bunuhLnTt3ZsaMGSxfvpz333/f8nFZWFbnbHSr2Z0pDrO49HEnim3ZB06p+1JasGABuXPntqnV8gIFCrBw4UIaN27M//73P+bNm/fMN19X7l9h4eGFfFTzI/Jl+8853iEh0LKl3kZ4wACYOlX/ZsndXW+x/fgbgEGDYO9ePUFevFjPlEqUgK5d9WLTsmWTjDGrU1aWt19Ox9860ndDXx7GPmRww8GW/Y1IoaCgIDRNo2pVG3n35jmuR1zn1I1TdKveTX+XZ9kyfQXf1dWq8y5bpv8RN24My5eDi4tVpxNCiBTRVDI22Vibt7e3CgwMTLf5HBwcUJUVNAVyA3eALaAd0VLd5CA1HsY8THBV+umfT9g9IcF7NTTMw9Iv1ufauBHefltfcbp3Dx4+/Pc1V1eYPTvRDT1KKcqWLYunpyebN29Op4DT5vSN05T7thwjt8KXr46BwSlPyiIiIihcuDDt27dn7ty5VogybUaOHMmwYcP46aefnvmG5as/v2L0X6M52eskZfM/lcBeuwYNG8LVq/rb8lWqJG+ihw/1hhI//6z/PTKboUGDf0stcudO9NZYcyzv/f4eCw8v5KsXv2L4y8MNewelVatWnDlzhmPHjhkyf0qtObWGNxe9yfb3t/PirnD963PbNnjpJYvPZTLpVVahofqbCGXLQnAwZM9u8amEEOK5NE3br5TyTvDFxIqP0/Mj3TffeXgoIN6Hh4dHusaRHIltFPSY4mF0aP9aulQpZ2elqlVT6sqVVJ1fO2zYMMPO8U2t5vOaK7eh2VSMi7NShw+n+P5FixYpQG3dutUK0aVdbGysaty4sXJ1dVXHjh1TSiXR0OPePaVq11Yqa1alduxI/aQXLyo1bpxSj864VlmzKtWpk1IbNya6Oys2LlZ98PsHiuGoARsHxD86Lp24ubmpTp06GTJ3agzdPFQ5jXRSD6IfKNWypf61Ghdn8XkS2o+bLVuqT+4TQog0Q45re5a/vz+u/3m70NXVFX9/f4MiSpx/U39cnf8Tq7Mr/k1tJNY5c6B9e6hTR19tKlxYX3m6cEFf+btwIVlHP3Xu3BmlFAsXLrR2xBbT07sn4Vke8ke1bPp7wyk8cs5kMlG8eHFessIKnSU4OjqyYMECsmfPTvv27Xn48CHzD83nxsMbfF73838vjI6GNm0gKAiWLtVXjVOrWDEYOBCOHtVLLbp1g7VroUUL/ei/oUPh5Mln43RwZE6rOfT07smE3RPova53guVH1nTt2jXCw8Ptq744fDfVi1TH9dpt2LQJunRJVo13SiW0H/fhw1Sf3CeEENaVWMacnh+GNPhYsEB5eHgoTdOUh4eHWmDDyxfPa0ZimLFj9eWfV19V6sGDND+uXr16qkqVKhYILH3ExMWoYpOKqZYTq+u/DyNGJPvea9euKScnJ9W/f38rRmgZ69atU4D6uMfHqsK3FVTN72v+uyobF6dUhw76r/+nn6wTwMOH+rsSr72mH/sHene2WbOUeuqIO7PZrD5f/7liOOrDlR+maxv0DRs2KEBt2WL7bauV0v/uuvq7qk/Xfqo38wClTp60+Dxmc+Kn9mmaxacTQohkQTrfCYsym5UaOFD/69Oxo1IW6vL13XffKUAdOHDAIs9LD8P+HKYYjjrb9U2lnJyUCg5O1n0zZsxQgApO5vVGGzBggKKsXsaz4OCjb8zMZqV69VLp2int0iWlJkxQystLn9fFRU/M169XKjZWmc1m5bfFTzEc1Xl5ZxUTZ5mzpp9nzJgxClA3b95Ml/nSav+l/YrhqIWHTPrvZb16Fp8jMlI/ujyxxNgGK9eEEJlEUolxpiylEGkQFwe+vjB+PPzvf/ppAhbq8tW+fXucnJxYsGCBRZ6XHj6q+RGOmiPfv+sJBQroJRXRSZ82AnoZRaVKlahWrZr1g7QAf39/crXMhXZfw9vV+/EgfPst9Ounn0CRHooWhf794fBh+Ptv+OgjfcPeK6+AuzvakCGMLurD6MajWXBoAZ1+60RMnPW7KgYHB+Pp6UnevHmtPpclBITpJ8jUv5tbL1vp2tWiz796FZo00f95ePfd+AdduLrqf32EEMLWSGIski8qCjp0gLlz4Ysv9KTIgjWJ+fPn57XXXmPhwoXExcVZ7LnWVDxXcVqVb8WPJxYRNes7OHQIRo5M8p4LFy6wa9cuOnfubFtnUCfh+M3j3C1wlywHstDVpyuxM2bAl1/qCdX48ekfkKaBtzdMn66fkf3rr1CrFkycCJUq4TdgFZNyvMOyY8t4Z+k7RMZGWjWcoKAgu6ovDggPoGiOorgv26h/Y9uuncWeffQovPDCvyXny5bph9J4eOh/bB4eSR5SI4QQhpLEWCTP/fvw5pt6AjJlCowapf8vZ2FdunTh0qVL/PnnnxZ/trX09O7J9Yjr/Fryob5iPHasvpqZiMcbDDt1srFzqJPwuKHHrA9nUXzfPhx69YLXX9e/SbLChq0UcXHRm4SsWgUXL8KkSfDwIZ/3/43v1juy+tRq3pregIiHd60y/Z07dzhz5oxdJca7w3ZTv3hdtIWL9K/rfPmef1MyrF8P9epBZKR+Yl/btvp4KvbjCiGEISQxFs938yY0awZbt+pnzfbta7Wp3njjDXLnzs38BNpH26qmpZpSJl8ZZu2fpTe0KFJET5Aj469SKqUwmUw0bNgQDw+P9A82FS7fu4zpkIlu1bvxfiEPljg4EKAU6z/4wPZalhUuDJ9/DgcPQlAQ/6vzCT9szs6mO0G83qcg9wf21Zc0LejgwYMAibbPtjVX7l/h/O3z1HuQVz97+r330vxMpfTF+9dfh9KlYd8+qF3bAsEKIUQ6k8RYJO3SJXjxRf00/l9/tch/oknJmjUrbdu25bfffuPBgwdWnctSHDQHPq71MTtDd3I4Kgx++AGOH4evvop37cGDBzl27JjNtIBOjhl/zyDWHEufnM3hrbdwrFCBIV5edPb15eLFi0aHlzBNgxo1YNo0PthykwUen7GjWAwtbk7jTq3Ketb23Xf6N32PmUz6kXAODvpnkylZUwUFBQH20wr6SX3xXxf0uvhXXknT82Ji4JNPoHdvffF5xw69iaEQQtgjSYxF4s6c0TuQhYTAunXQunW6TNulSxcePHjAypUr02U+S+hWvRsuji7MCpylt0T+6CO93nX37meuM5lMODk50fbxe8w27mHMQ2YGzqSVW1PKvusLefPisGEDc377jcjISHx8fGy/HjxLFjp1m8ySdssI9HCm6Rdu3NAioVcvfTNf27b6hj5fX/3vulL6Z1/fZCXHwcHBFClShCJFiqTDLybtAsIDyOKQhZrLdkCnTmla9b99W18lnjlTP356+XK9+aUQQtgrSYxFwg4d0hs13Lunl1A0aZJuUzds2BB3d3e7KqfI75qfdl7tmH9oPvej7+t1ru7uelvjR90N4uLiWLRoEa+++ir58+c3NuBketzQ47MfjuonkmzYAG5ulC9fnhkzZrB9+3ZGjRpldJjJ8k6ld1jRfgVHuEbjbhpX92zRT1bZtk3/8/pvF4qIiGR1obC3jXe7w3ZTy9ENl4cxaXoH6OxZvZ542zb48UcYN874cnMhhEgr+WdMxLdrl14+4eSkvy+azsWCDg4OdO7cmY0bN/LPP/+k69xp0dO7J/ei72E6ZIKcOfVs4fRpvVsbsH37di5evGg3ZRRmZWbKrknUvJWNFw/d0TvQVajw5PWuXbvStWtXRo0axbZt24wLNAVeL/c6azqt4czNM7wU+AmXRg7Qy4US20gaGprk8x4+fMjx48ftpr44Oi6awEuB1Dv9ELy89HKTVPjrL/3kiatX9aZ53bpZOFAhhDCIJMbiWevXQ/PmUKiQniBXrGhIGJ07d8ZsNrNo0SJD5k+Num51qVq4KjMDZ+rdc5o00Ysvp02D7dsxmUzkyJGDN9980+hQk2X9sVWcuHWKz7dHoy1fobf9/o/vvvuOsmXL0qlTJ65du2ZAlCnXrFQz1ndeT/jdcF786UVCHlzSV/cTktj4I4cPHyYuLs5uVowPXDlAVFwU9fZd1o/aS8XJMj//rO/FLVBA79ptox3NhRAiVSQxFv9asgRatYLy5WHnTv3AUYNUrFiRWrVq2VWzD03T6Ondk4P/HGTvxb364LhxULo05vffZ92yZbRp0wbX/3Y7sEWxsUz+yZfid6HtgJ+gRYsEL8uRIwdLlizh5s2bvPfee5jN5nQONHVe9HiRTV02cT3iOi/+/CJnh/eO34VC0/RvbJJgbxvvdofpNe/1w7UUn5lmNsPgwfrq8EsvQUAAlCljjSiFEMI4khgL3fffQ8eOULeuXjRYqJDREdG5c2f279/P8ePHjQ4l2Xyq+JAjSw5mBs7UB7Jnh59/RgsJ4Yt79+yjjEIpDvVux5ac1/i08Jtk6dQlycurVavG5MmTWbduHZMnT06nINOurltdtr63lQfRD3jx5iQmjG2FZ39HHIaBZz8HTN4u+jc2+/cn+ozg4GDy5s1rN0fvBYTtxv2+I8XqNofixZN934MH+lHR48ZBjx56VY2dNPkTQogUkcQ4s1MKxozR/7d7/XV9c1Xu3EZHBUDHjh1xdHS0q014OV1y0qVqF5YcWcKNiBv6YMOGrC5dmv8BTZUyNL5k+fJLplxagatyxvfTX5J1S8+ePXnnnXcYMmQIe/futXKAllOzaE22vb+Ne1H3GHhzMSE54lAahOQ049sKTFXQS2J27Ejw/qCgIGrUqGE3HQx3n91G/fNxKWoBHR4OjRrp/VOmTYMZM2zv+GohhLAUSYwzM6VgwAB9c5iPj37WUrZsRkf1ROHChWnevDkmk8lu3qIH6OHdg6i4KH45qCeVt27doktICP/kzYvjRx/BnTsGR5iEb77h8jR/TNUd6FbnI/JmS96yoKZpzJ07l+LFi9OhQwdu375t3TgtqHKhyuTMkjPeeERcJH6vZ4VixfQj+Navf+b1mJgYDh8+bDcb78LuhBEedY16V7Mk++jFwEC9tPzMGVizRj+r2E6+BxBCiFSRxDizio2FDz/Uj6n69FOYN88ml4G6dOlCaGgoOxJZsbNFVQtXpX6J+swKnIVZmfntt9+4GxPDzcmT9ZbF/foZHWLCFi6EPn2Y0aU8sZqizwt9U3R7njx5WLx4MeHh4Xz00Uf6BkQ7cfn+5QTHQx9c0o9gqFBBr79ftuzJa8ePHycqKspu6osDzm4DoH7FFnqJz3P8+qt+OE2WLPpx3K++auUAhRDCBkhinBlFRkK7dvpxYsOG6e+P2ugBpK1btyZHjhx2tQkP9KPbTt88zdbzWzGZTJQrV44K772nd0H44Qe9SNOWbNgA771HRJNGzPS8TqvyrSibv2yKH1O3bl38/f359ddf+f77760QqHW450749An33O5QsKB+lnedOtChg/51g15fDPbTCjpgxyKyxUC19n2SvE4p8PfX+57UqKG3d65cOZ2CFEIIg9lmNiSs5949vZZ4xQqYOhWGD7fp90ZdXV1p06YNy5YtIzIy0uhwku3dSu+SP1t+Ju+YzPbt2/Hx8dHrUIcP18+P/egjuHXL6DB1e/fqO6sqV2b+8DbceHiDz+t9nurH9e/fn5YtW9KrVy+KFSuGg4MDnp6emJLZYtkI/k39cXV+9lQKZwdn/Jv66z/Jkwc2btSPMuzeHaZMISgoCFdXV8qVK5f+AafC7vDd1L7ugvPLiTfriYrSy4+/+EKvrtqyxSb24QohRLqRxDgzuXEDmjaF7dvhl1+gT9IrR7aiS5cu3LlzhzVr1hgdSrJldcrKBzU+YMOFDagcik6dOukvuLjov/f//GMbv/8nTujfKBUujHntH0w99D21itaikXujVD/SwcGBt956i7i4OC5fvoxSipCQEHx9fW02Ofap4sPsN2fjkdsDDQ1XZ1dizDEUdC3470WurrBypf5NxOefU23FCqpVrYqjo6NxgSdTZOg5grPdoV6hmom+O3T1qr7PcMECGDUK5s+HrFnTOVAhhDBYshNjTdMcNU0L1jRtzX/G+2uapjRNK/DU2BBN085omnZS07SWlgxYpNLjreWHDumb7FKwK91ojRs3plixYnZ1OgWAby1fzJgp3qo4ZZ4+8LVWLb3V8Pz5eqJllPBw/XxiJyfYuJH19w9w4voJPqv7WZpPWRg3bly8sYiICPyS0WLZKD5VfLjQ9wLmYWau9r9K5UKV6fRbJ0Juh/x7kYsLLF6Mev99PggLY/TDh/oBvzZu/6JJxDhCvZc7J/j60aN6J7ugIFi6VF8xtuE3koQQwmpSsmLcB3jmQFlN00oAzYHQp8YqAR0AL+AVYIamaba/pJKRnT4NDRvqidD69fomIjvi6OhIp06dWLt2LdevXzc6nGSLvBQJZ+B+ufvEmmOffdHPD6pXB19fMOLXdPOmftLCnTv634nSpZkcMJniOYvT1qttmh8fmkgr5cTGbU32LNn5rd1vxJhjeHfZu0TGPlXG4+TE6UGDmAo0OXhQ38QaF2dUqM+nFLv3/QZAvRfejffy+vVQr56+9eCvv/TaYiGEyKySlRhrmuYGvA7M/c9LU4CBwNPbz98CFiulopRS54EzQPxesiJ9HDigJ8UPHsCff8LLLxsdUap07tyZ2NhYli5danQoyWYymXAIcuCOusOaU/8pA8mSRS+puHXrud3VLO7BA3jjDTh7Vl+xrl6dg1cOsuX8Fj6t8ylZHLOkeQr3RFopJzZui8rlL8e81vMIvBRI73W9n3kt+OBBPgMu+/rCTz/pm/Kio40J9HkOHiTA+R9KOxakUPZ/C4aVgunT9Uqa0qX1TXa1axsYpxBC2IDkrhhPRU+An7xnqGlaK+CiUurgf64tDoQ99fPwR2PP0DTNV9O0QE3TAq9du5aioEUy7dypJ8IuLnqDglq1jI4o1apVq0aVKlXsppzCbDazcOFCmrk3wy2X27+d8J5Wtap+KsjSpfpHeoiJ0ZcE9+6FRYuefKM0Zc8UXJ1d8a3la5Fp/P3947W+1jSNL7/80iLPTy9vVXiLIQ2HMCdoDj8E/fBkPCgoCGdnZ/JPnw6TJ+tnm731FkREGBhtwtQvP7O7BNQv0/jJWEyM/v1Y797w5pv6Pw8lShgYpBBC2IjnJsaapr0BXFVK7X9qzBXwA75K6JYExuIdaKqUmq2U8lZKeRcsWDCBW0SarF2r148WKaInyBUqGB1RmnXp0oU9e/Zw5swZo0N5rl27dhEaGkoXny58VPMjNp7dyNmbZ+NfOGgQeHvD//6nb8izJrMZPvgA1q2DWbPg7bcBuHzvMgsPL+SD6h8ku6HH8/j4+DB79mw8PDzQNI3ChQujlGLz5s02e76xyQSenvreNE9P/ecAoxqPolmpZnyy9hMCLwUC+lFtlStXJkuWLPDZZzB3rn7k3ePyFFsRE8OF1Qv4JwfUK/0yALdv66vEM2fqpwcuXw45chgapRBC2A6lVJIfwBj0Vd8LwBUgAvgNuPpo7AIQi15nXAQYAgx56v4NQL2k5qhVq5YSFrRwoVJOTkrVrKnU1atGR2MxYWFhStM0NWzYMKNDea6PP/5Yubq6qnv37qnwO+HKcYSjGrBxQMIXHz2qlIuLUq1bK2U2Wycgs1mpzz9XCpQaPfqZl77Y8oXShmvq9I3T1pn7kTFjxihAfffdd1adJzUWLFDK1VX/7Xn84eqqjyul1LUH15T7FHflPsVdXb1/VeXPn19179792YcsWaKUs7NSNWrYztfdmjVqQRUUw1EHLh9QZ84oVaGCHuaPPxodnBBCGAMIVInlvYm9kODF8DKwJoHxC0CBRz/2Ag4CLkBJ4BzgmNRzJTG2oO++U0rTlHrpJaXu3DE6Gotr2rSpKl26tDJbK4G0gKioKJUvXz7VsWPHJ2NtlrRR+cflVw9jHiZ80/jx+pfj/9u77+goq+3h49+TQIDQpCo10gQVkBJQlAsoIAooSIckyOUq1S6vVy96jQLXLqgUxYIYBjAUFSk2yk9pAiaAIBBACFUREAglJGT2+8eZQICUSTKTmST7s1YWk6ec2XMyzOw5c559UjMxT3vtNdv+Y49dlnyfSTojFV6rIN1mdfP4Xc6YIRISYp+OISEiUVEp0rlzZwkKCpL169d7/P5SUkTOnBE5elRk/36RuDiRTZtE1q4VWb5cZMkSkfnzRRwOkY8+EnnvPdvtL70kUqbM5Ulx6k9IyKX21x1YJ0FjgqTNh20Eg0ycOPHqIBYvFile3Gaf+/d7/DFmW+/eMrJHcSn1v1KybMUFqVBBpHx5kRUrfB2YUkr5TmaJcREvjEBvNcZEA7+5RpJHiogfX7JdQKQuV/XCC7bqxOzZUKKEr6PyuPDwcP75z3+ydu1aWrVq5etw0vXNN99w/PhxwsMvlcYaHjqc+dvmM/e3uYQ3Tqdk1lNPwZdfwiOPwJ13QtWqngto2jQ7ZaN/fxg//rI6XFGbonK9oEd6HA5bcCN1ym18PDz8cACPPz6HDRsG0aXLe7z11iQCA0tx7hxX/SQmXr0tq33euPYtPh5ee81WOmzevAUT753IkIVDoB3pLwV97712SkXXrvai1x9+gLSl+vLS33/DggWs/n9lqBnQmE4dA6ldGxYu9F1ISinl74z4wXy/0NBQ2bBhg6/DyL+cTnj6abuS3cCBdsnhIh7/zOMXTp06xXXXXcegQYOYPHmyr8NJV9++fVm2bBmHDh2iaNGiADjFSYOJDahcsjIrB69M/8S4OFvC7c47bfbiiUKyCxZAjx52YZevv7bVMFyc4uSmSTdRKqgU6x9en+vaxWlVqwaHDuXs3MBA+5kuo5/ixTPf784xV+6vU8cmwVcqUgQuuCrtFSsGLVoKOxt05c9qi5nWMZpBt2dQ2+yXX+x846JF7Yp5jRrlrDNyY+pUzjwylDL/CcT543N0CBxDdDSU88w0cqWUyreMMb+ISGi6OzMaSs7LH51KkQvJySIPPnjpa/KUFF9H5HX9+vWT8uXLy/nz530dylVOnjwpxYsXl5EjR161781VbwqRyOY/NmfcwIQJ9m/piQmgP/5ov9Zv2VIkIeGq3YviFgmRiGOzI/f3JSKnT4tMn25n8aQ3LQHstIoffhB5/PHPBZrIM898Inv3ivz5p8ipU/bp7AuZzTE+ckTkiy9Enn7adiVFTwlDmgnPlpUGt++UkSNFZs0SOXDgika3bhWpWlWkXDmRn3/O88d0odUdMvvGECESufexRZKUlOchKKWUX8JTc4y99aOJcQ6dOyfSrZv9M770kvcu3PIzixYtEkC+/PJLX4dylU8//VQAWb169VX7jp45KsXGFJPhC4dn3EBKis0sy5QR2bcv54Fs2iRStqxI/foif/2V7iHtp7eXam9Vk6QLOc+YnE6R1atFHnpIpHRp+1SsW1fkmmsyn7PrdDqlZ8+eEhgYKCtXrszx/XvSlXOiM5ruXaVKXbm989NSIrK8lPp/jaTkNWcuPr7rrxcJDxd5/32bF6fs+l2kdm2RUqVEli3Ls8dy6MedIiBt/tFJiESOnjmWZ/etlFL+ThPjgujUKZE777R/wvfe83U0eSo5OVkqVaokvXr18nUoV+nYsaPUrl07w4sDB34xUEr9r5ScSjyVcSO7d4uULCnSsWPOPuz8/rtIlSoi1aqJ7N2b7iEbD28UIpFXf3o1++2LyOHD9sK1Bg0uja4OGmQHqZ3OrKs8iIicOHFC6tSpI9WqVZMj/lLFIQt//vmnAPLmm2/Kkp1LxEQaGTA3XNavd8qECSK9eolce+2lx1y+vMiguw/KkWtvlpSgYpI0b4HXY1y/XuStUv+VFIzc9noHaTCxgdfvUyml8hNNjAuav/4SCQ0VCQz0XhUDP/fYY49JsWLF5O+//85VO+6OErrj8OHDEhAQIM8//3yGx6zZv0aIRKasn5J5Y5Mn2/+eU7I47kp//ilSr579+n7LlgwPe/CLByV4XLAcP3vc7aaTkuyUgvvus089ELnjDlvh4VQ6eb47fRsTEyPFihWTu+++W1LywTSgb775RgBZ5hr9fXnFy0IkMvHnSxUqnE6RnTtFpk0TGTxY5IYbRMpzVNYRKskEyssNHDJ6tMg333i+cMycOSLBxVNkX+D1cqpVB6nwWgUZ/OVgz96JUkrlc5oY53dpM4xq1exoYPHiIl9/7evIfGb9+vUCyIcffpjjNtwZ1cyO8ePHCyDbtm3L8Bin0ylN3m8it0y5JfOSc06nSIcOduT499/dC+DUKZHmzUVKlBBZtSrDww6dOiRFXy4qjyx6xK1mt2yx82srV7Z9dN11Iv/+t8j27e6FlZUPPvhAABkzZoxnGvSi1FrMx4/bDxQpzhTpOrOrFHm5iKzal3Gf//GHyFdRJ2Vn9baSgpHhZoqASECASJMmIo8+assgHzyYs7icTlueGkSGN/xRBGTHx68LkciHv+T8/4hSShVEmhjnZ+llbyCSyahkYeB0OqV+/frSpk2bHLcREnJ1t15ZuzY7mjdvLs2aNcvyuPfXvy9EIqv3XT0P+TLx8Xaucdu2WV9UmZgo0r69HcpduDDTQ0cvHZ3lgh4nTth5si1b2j4pUkSkRw/btKcvkHM6nRIeHi4BAQGydOlSzzbuYb1795ZatWpdtu3vc39LnXfqSNW3qsrhhMOZN3D2rEiXLiIgOx96VV580f7Z0v4Xr11bZOBAkalTRbZtS382TdrPyjVr2pF7EAkLE0ke9C+RUqVk2lr7PNt6ZKvHHr9SShUEmhjnZ57O3gqQsWPHCiB79uzJ9rnnzqXfrak/H3wg8uuv7hf52L59uwDy1ltvZXlswvkEKf2/0hIxPyLrhj/+2Ab0zjsZH3Phgkjv3va46dMzbS51QY/us7tftS8lRWTpUptcFS9um2vYUOTtt72/kFtCQoLceOONUrlyZTl06JB37ywX6tSpIz169Lhq+8bDG6XE2BLSZlqbrC9mTEoS6dfPdvBzz4k4nZKUJLJune3rHj1EKlW69FysWNFeY/vmm3axkunT0/+s3KuXiPPMWXsV5KBBMmTBELnm1Wskxen/U1SUUiovaWKcnxmTfuZmjK8j87k9e/YIIOPGjXP7nLg4Oy2gfPmMk+KAgEu3y5YV6dTJFv34/vuM54S+8MILYoyRg25+Fz5i4QgpNqaYHD1zNPMDnU6Rzp3t9Ii4uPT3jxhhg33zzSzvN3W0+se9P17ctnevSGSkraiQ+piHD7cXceVloZOtW7dKcHCwtG3bVpJ9VbctEydOnBBAxl6xpHaqqE1RQiTy9LdPZ93YhQsiDz9sO3zEiKs+gTmdIjt22M9FgwbZSh9p/+tn+Fl51iz7y7Jl0nByQ+kU1Sn3D1wppQoYTYzzs5o1dcQ4E//4xz+kQYMGmc7XTUoSmTvXTtlNnRbQu7cdrMtojvHOnXZkbuhQkUaNLiUjAQEit9xiE8eoKFtAIiXFKbVr15b27du7HffmPzYLkcibq7JOZuXgQVv/7PbbbUKVVmSkDeyZZ7JsJsWZIvXfqy/NP2guZ844ZeZM2yepj61DB5GZM+23/b4SFRUlgDz33HO+CyIDK1asEEAWL16c4TEjF40UIpHoLdFZN+h0iowaZTs/PDzLOSqHD9uL6zL6QGeMiNxzj0iNGnLizHExkUZeWvFSNh+lUkoVfJoY52d9+lz9DpibK8QKmKlTpwogGzZsuGpffLzICy/YaxXBfsYYO1Yk7Tf17lalOHFC5NtvRV58UeTuuy/V7LUluc4LzJM+fdbJqlV2moY77vj4Dqn7bl33vuqOirJ39sYbl7alVq4YNMitod2vty8UIpH2Tzou1hkOCbG5dQ5mo3jNww8/LIAsWrTI16FcJvXiysOHM55HfP7Cebnto9uk5LiS8tuR37JuNO1Vc926ufXkyWh2VWi1Q/aT23/+I9/t+k6IRL7b9Z37D1AppQoJTYzzq+XL7RvdbbfZrM4TNcUKmOPHj0tQUJA8/vjjImIHVBctsiXFAgJsl3XpYgt4XDnYmhsXLohs3mwvUKtff60Ys/NighIUJNKqlZ2yMW/e5Yl4WjM2zXA/eXE6beIUGGgz/dRh3iZNshxpPHJEZPx4kZIj7hKeqibFgpMkLMzOJ/bHCmlnz56VJk2aSPny5SU+Pt7X4VwUEREhVapUyfK4/Sf3S+U3Kkv99+rLyUQ367G9+679e7Zvn+4qhWllVE1lw4A37S/bt0vk8kgxkcb9+1dKqUJEE+P86NAhu1JA/frpF4lVF/Xs2VMqVrxZxo69cHGe7LXXivznPxmub+ExSUlJUqlSJendu7f8+afIl1/aWQ2tW4sUK3YpcalVy17UNmmSSGyszWUTkxOl4usV5YHZD7h3Z5MmXT1MWKJEuh+UkpNtBYkePUSKFhXhWrugxwNvvia5LP2cJ3bu3CmlS5eWW2+91W+W/m7YsKF07tzZrWOX71kugS8FSs/Pe2Zeli+t6dMvfRA+nnl96XS/6WjcWOTWW0VEpFNUJ2k0uZF796uUUoWMJsb5TXKyLdEVHJzpIg2FndNpB9Vbt94vcF5A5K67RKKjRfIql1q8eLFktDx1YqKtIvD227ZiQOqUDrArBLdvL9Lqv89IQGSgbN1/IOs7c6NCyfbttsZw6n1VqiTy1FMi9097UEqOK5mtBT18bc6cOQLIE0884etQ5MyZM1ku3nKlN1a9IUQib6x6I+uDU82fb79yaNzYTip2V2ys/YNPmiQpzhQp+0pZGfr1UPfPV0qpQkQT4/zm2Wftn+azz3wdiV86ftxODahf33ZTuXJOKVZsknTp8lSexxIWFiblypVza1TT6bQj2A6HyMiRIk2bipjyu4VIhHaRcvPNtlDBtGm2IsFVA40ZlCNwGiMff3yplm1goJ1KMn++/YCQ3QU9/Mljjz0mgMydO9encaxdu1YAmTdvntvnOJ1O6RXdSwJeCpBlvy9z/86++85+KK5b1/2vPJ580n41cPSobPlzixCJfBr7qfv3qZRShYgmxvnJggX2zzJkiK8j8StOpx19HTToUo3d224T+fRTW0Vh2LBhUqJECTmVh9NOTp8+LSVLlpQhufhbJSSItHink5SJrCad7k2+eFEciFSoYBPcV14R+b//E0moEJJuYryXEAH7QeG1166e0+zOgh7+6vz589KyZUspU6aM7Nzpu/inTJkiOamZfSrxlDSY2EAqvV5J9p/c7/6Jq1bZunk1amS9xGBysl2W0FVfeeqGqUIkEnc0nfJ+SimlMk2MA1D+Y88eGDgQmjaFd97xdTR+4fRpmDoVmjeH226DuXNh0CCIjYU1a+DBB6FECYiIiODcuXPMnz8/z2L76quvOHPmDGFhYTluo1QpGH33cE5xkKFvfc2xY7B1K3z4Idx/P8TFwXPPQdu2MOTYOM4QfNn5ZwjmpWLjWL0atm2DZ56BKlUu7T+bfJYpG6bQrUE36pavm+M4fSUoKIjo6GgCAwPp3bs3iYmJPokjJiaGcuXKERISkq3zShcrzfw+8zl34Ry9ontx/sJ59068/XZYsQISE+Ef/4CNGzM+9rvv4MgR+9oBrDmwhorBFfPl31sppXwuo4w5L390xFjshNTmze0o0e7dvo7G5zZtsrWCU8uiNW4sMmVKxtchOp22lnCHDh3yLMbOnTtLjRo1JCWXpR2SU5Kl+tvVpeNnHdPd/9dftqoGiPRnhuwhRFIwsocQ6c+MTNd6SW9Bj/xo4cKFAuRqdD43QkND5a677srx+XO2zhEikRELR2TvxO3b7ahx2bJ2FDk9ffrYrxdc03nqv1dfus7smuNYlVKqoENHjPOBJ5+EX36Bzz6D2rV9HY1PJCZCVBTccQfccgt88gk88ACsXm0HzIYNg9Kl0z/XGEN4eDhLly7l4MGDXo/1yJEjfPvttwwYMICAgNz9NyoSUIQhzYbw/e/fs+v4rqv2V6wIXbtCSAjMIoxa7CUQJ7XYyyzCqFkz/Xad4mT82vGEVg2ldc3WuYrR17p06cKzzz7L1KlTmTFjRp7ed3JyMps3b6ZZs2Y5bqPXTb0Y1WoUkzdM5rNNn7l/Yv36sHIlVK4MHTvC999fvv/ECfjqKxgwAIKCOH7uODuO7eD26rfnOFallCrMNDH2Bw4HTJlivwe//35fR5Pndu6EUaOgWjX7bfDRo/D223DoEEyfDq1agTFZtxMeHo6IMGvWLK/HHB0dTUpKSq6mUaT1r2b/ItAE8sGGDzI8Ztw4CL58JgXBwXZ7epbsXMKOYzt46ranMO50oJ8bM2YMbdq0YejQofz22295dr/btm0jKSmJpk2b5qqdVzq8Qrvr2zF04VA2/rHR/RNr1oSffoK6de0npC++uLRvzhw4f/7iNIq1B9YC0KpGq1zFqpRShZUmxr72228wZIidR5hRhlMAJSfDvHl2EOyGG+yU6vbtYelS2L7dDqCXL5+9NuvVq8ett95KVFSUd4JOw+Fw0KhRIxo1auSR9qqWrkr3Bt2ZtnEaiRfSn0cbFmbnW4eE2A8KISH294xy87fXvk31MtXpdVMvj8Toa0WKFGHWrFmUKlWK3r17c+bMmTy535iYGIBcjRiD/WZgds/ZlC9Rnp7RPfn73N/un3zttXbOcbNm0KsXDB0K119vXzuKFIEdOwBYvX81gSaQFlVb5CpWpZQqrDQx9qXTp6FnT3sF1uzZ9g2ugNu3D154wQ6C9eplLy4bO9Zuj46Gu+5yb3Q4IxEREWzevJnNmzd7Lugr7N69m7Vr13pstDjV8NDhHDt3jDlb52R4TFgY7N0LTqf9N6MQNv6xkWV7lvFoy0cpGljUo3H6UtWqVZk5cybbtm1j+PDhtrSOl8XExBAcHEy9evVy3da1pa5lbu+57D+5n4gvInCK0/2Ty5WzUykaNLCfiOLj7fYLF2yC7HCw5sAabrnuFkoGlcx1rEopVRhpYuwrIvbNLC7OJsVVq/o6Io9xOOxgVkCA/TcqChYvtrNEatWyA+PNm8PXX8Pvv8Po0ZdXUsiNvn37UqRIEa/OQ505cyYAAwYM8Gi7d9W6ixsq3MCUDVNy3daEtRMoWbQkDzd72AOR+Zf27dsTGRlJVFQUH3/8sdfvLzY2liZNmhAYGOiR9lrVaMWEeyawaOcixv2YzW+JSpWChISrt589y4Xn/8PPB37W+cVKKZULmhj7yvvvw6xZMGYM3Hmnr6PxGIfD5vvx8Tb3j4+3JdW6dIF162zpsT17YOFCO13SQ7nGRRUrVuTee+/F4XCQkpLi2caxVVwcDgdt27alRo0aHm3bGMPQ5kNZc2ANm/7YlON2DiccZuavMxncdDDlSpTzYIT+4/nnn+fuu+/mkUceYWNmpcxyyel0snHjxlzPL77S8NDhRDSO4MUVL7Jk55LsnXzgQLqbtyTu40zyGZ1frJRSuaCJsS+sXw9PPAGdO8Ozz/o6Go8aPRrOnr18m4itrLBvn502kc1SsNkWHh7OoUOHWLFihcfbjomJYceOHR6fRpFqUJNBFC9SnPc3vJ/jNiatn8QF5wUev/VxD0bmXwICApgxYwYVK1akd+/enDx50iv3s2vXLk6fPp3r+cVXMsbwftf3aXRtI8Lmh7Hn7z3un5xBGZLVt9hJ+bfX0BFjpZTKKU2M89rx49C7t507EBVl5xsUEGvXXpr2eKVjxyAoKG/iuO+++yhTpoxXLsJzOBwEBQXRq5d3LmgrX6I8fW/uy4xfZ5BwPp2vzLOQuqBH9wbdqVO+jhci9B+VKlVi9uzZ7Nmzh4ceesgr8409deFdeoKLBjO/z3yc4qRndE/OJZ9z78QMypOsuftGrit1HSFlvfzJUymlCrCCk5XlB06nLat06JC90iy7ZRf8kIi9WL5DB1tWLaM8P6Nau95QokQJevfuzbx58zh75fB1LqSkpDB79mw6d+5MuXLem6IwPHQ4p5NOM2Nz9udJf7bpM46fO86Ttz3phcj8T+vWrXn11VeZO3cu7733nsfbj42NpWjRotx0000ebxugTvk6zOgxg9g/YhmxeIR7yX0G5UnWFPmDVtVbFYjSfEop5SuaGOel116DRYtg/Hho2dLX0eSKCCxZAq1b2ynSW7fCm2/apYyzU2vXW8LDwzl9+jRfffWVx9pcvnw5hw8f9to0ilQtq7Wk6XVNmbJhSrZGQQvSgh7Z8fTTT3PfffcxatQofv75Z4+2HRMTQ6NGjQjy4tcdXW/oygttXuDTjZ/yYcyH7p10RXmSI907svvv3TqNQimlckkT47yyfDk8/zz06wcjRvg6mhxzOu36AqGhdor0/v0wcaKtLvH00zB4cPZq7XpLmzZtqFGjhkerUzgcDsqUKUPXrl091mZ6jDEMCx3Gr0d+Zc2BNW6ft2TnEuKOxRWYBT3cZYxh+vTpVKtWjT59+nD8+HGPtCsixMTEePzCu/S82PZFOtXpxKNLHmXdwXXZPn/Nfvs8aVVdL7xTSqnc0MQ4Lxw+DP3725Uspk7NXaFeH7lwAWbOhMaNoUcPOHUKPv4Ydu2CkSOhRIlLx7pba9ebAgICCAsL49tvv+XPP//MdXvnzp1j3rx59OzZk+LFi3sgwswNaDSA0kGls1W6raAt6JEd5cqVY86cOfzxxx8MHDgQpzMb9YEzsH//fo4fP+6V+cVXCgwIxNHDQdXSVekV3Yu/zvyVrfNX719N0YCiNK/a3EsRKqVU4aCJsbdduGBHiRMSYO5cKF3a1xFlS1ISfPIJ3HjjpQTX4YBt2+zocF5dUJcTERERF+cF59bXX39NQkKC16dRpCoVVIqBtwwkems0R88ezfL41AU9Hmv5WIFa0CM7QkNDefvtt1m0aBFvvPFGrttLvfAuL0aMASoEV2Ben3kcOXOE/vP6k+J0v9zgmgNraFalGcWLeP9Dm1JKFWSaGHvb88/Djz/akeKbb/Z1NG5LTITJk6FePfjXv6BMGZg/HzZvhgED8scifTfddBNNmzb1yHQKh8NBlSpVaNeuXe4Dc9Ow0GEkpSTx6cZPszx2/NrxdkGP5gVvQY/sGDFiBH369GH06NH8+OOPuWorNjaWgIAAGjdu7KHostasSjOmdJnC0j1LeWH5C26dk5SSxPpD63V+sVJKeYAmxt60YIG94G7oUN/MJ8iB06fhrbfsCnUjR0L16nbVug0b4IEH8l91uYiICDZs2MD27dtz3Mbx48dZsmQJ/fv399jqZ+5oWLkhrWu25v0N72e6dPDhhMPM+nUWg5sO5pri1+RZfP7IGMNHH31EnTp16NevX66m0cTExNCgQQNKlszb5ZX/2fSfDGk2hFdWvsKX27/M8vhNf2wi8UKizi9WSikPyGdpTj7y++92ybdmzWDCBF9Hk6WTJ23liOuvh1Gj7OD28uWwciXce2++nBYNQP/+/S8uBpFTc+bMITk5Oc+mUaQ1PHQ4u//ezQ+//5DhMYVhQY/sKF26NHPmzOHvv/8mLCwsxysgxsbG5tk0iiu9e++7tKjagoFfDCTuWFymx67evxpAV7xTSikP0MTYGxIT7SIeYOcV58HFWjl19Kid7RESYv+97TZYvRp++AHatcu/CXGq6667jo4dOzJjxowcX5DlcDi48cYbfZIk9byxJ5WCK2V4EV5hWtAjOxo3bsykSZNYunQpL7/8crbPP3LkCAcPHsyTC+/SU6xIMeb2mUtQYBA9Pu/B6aTTGR675sAaapSpQfUy1fMwQqWUKpg0MfaGJ56AmBiYPt3OSfBDhw/bkeGQEPjf/+wCHTExsHChXaijIImIiCA+Pp5Vq1Zl+9z4+Hh++uknwsLCfFICrViRYgxuOpgFOxZw4NSBq/anLujxVKun8jw2fzd48GAGDRrEmDFj+O6777J1bmxsLJB3F96lp2bZmszuNZttR7fx0IKMV/Zbc2CNjhYrpZSHaGLsaTNmwAcfwL//Dfff7+torrJvHzzyiM3Xx4+3pde2bLED2z7MAbyqe/fulCxZMkdLRM+aNQuAAQMGeDostw1pPgQR4aOYjy7bnrqgR4uqLbijxh0+is6/TZo0iZtvvpmwsDAOHjzo9nl5XZEiIx1qd2DsnWP5fOvnvPvzu1ftP3jqIPtO7uP26nrhnVJKeYImxp60dau90K5NGxg71tfRXGbnTltdok4dWyAjIgJ27ICoKPDSard+o2TJkvTo0YPo6GgSExOzda7D4eD222+nlg9H/muXq02nup34MOZDklOSL25fvHMxccfiePK2JwvVgh7ZERwczNy5c0lMTKRv374kJydnfRI2Ma5VqxbXXHONdwN0w79b/5tu9bsx6vtR/BT/02X7UheA0RFjpZTyDE2MPSUhAXr2tHWKZ8/2m3pmW7faghgNGtgFOoYNs4tyfPgh1K3r6+jyTnh4OCdPnmTRokVun7N582a2bNnik4vurjQ8dDiHEg7xddzXF7eNXzu+0C7okR3169dn6tSprFq1itGjR7t1TmxsrM/mF18pwAQwvft0al1Tiz5z+3A44fDFfav3r6Z4keI0ua6J7wJUSqkCRBNjTxCBIUPssOysWVCliq8jIibG5ukNG8JXX9nlmvfsgffeg5o1fR1d3mvfvj1VqlTJ1nQKh8NBkSJF6NOnjxcjc0+Xel2oUabGxYvwdEGP7Onfvz/Dhw/njTfeYMGCBZkee/LkSXbv3u03iTFA2eJlmd93PqfOn6LP3D4XvzlYc2ANoVVDCQr045V2lFIqH9HE2BMmT7ajxGPHwp13+jSU1auhc2do3hyWLoUXXoD4eHj9dbjuOp+G5lOBgYEMGDCAxYsXc+zYsSyPdzqdzJo1i06dOlGxYsU8iDBzgQGBDGk+hB9+/4Gdx3bqgh45MH78eJo3b86DDz7Inj17Mjxu48aNgO/nF1+pYeWGfHTfR6zct5Jnvn+GxAuJ/HLoF51frJRSHqSJcW6tWwdPPgldutgL7nxABJYtg7vugjvugPXrbaWJ+Hh4+WWoUMEnYfmd8PBwkpOTiY6OzvLYn376if379/vFNIpU/2r6LwyGJh804bNNnxFgAli00/2pIYVdsWLFiI6ORkTo06cP58+fT/e41Avv/GnEOFX/Rv15/NbHmfDzBCq/UZlkZzLTNk7D8avD16EppVSBoIlxbhw7ZusVV60Kn32W58vCicCiRXD77dC+PWzfDm+/DXv3wnPPQdmyeRqO37vlllto2LChW4t9OBwOSpYsyf1+VFlk2d5lBJgAziafBSAhKYEhXw/RpCgbateuzaeffsqGDRsYNWpUusfExsZSpUoVrr322jyOzj3NqjQjwASQkJQAwF9n/9LngVJKeYgmxjnldMLAgfDHHzBnDpQv77W7cjjsinQBAfbfGTNg3jy7qF7XrrYm8eTJdrG9J5+EPF7BNt8wxhAeHs7q1avZvXt3hsedP3+eOXPm8MADD+T5csCZGb10NCly+SpuZ5PPMnqpexeUKat79+48/fTTTJw4kc8///yq/TExMX45Wpzqv8v/e9US4fo8UEopz9DEOKdefRUWL7bFgFu08NrdOBz2ur74eDtCHB9v8/FeveDMGZg2zV7zN3y4Xy+w5zcGDBiAMSbTUePFixdz4sQJv5pGAbDv5L5sbVcZe+WVV2jVqhUPPfQQcXGXllw+e/Ys27Zt87v5xWnp80AppbxHE+OcWLbMXtXWv7/NSL1o9Gg4e/bybSJQsSJs2waDBkFRLUrgtho1atCuXTtmzJiR4UpiDoeDypUr06FDhzyOLnM1y6ZfTiSj7SpjRYsW5fPPP6dYsWL06tWLc+fOAfDrr7/idDr9esRYnwdKKeU9mhhn16FDNiGuX9+ulOHFhRX27bMjxOk5dgwCA7121wVaREQEu3bt4ueff75q38mTJ1m4cCH9+vWjiJ/Uok41rv04gosGX7YtuGgw49qP81FE+VuNGjWYMWMGW7Zs4ZFHHgH8Z8W7zOjzQCmlvEcT4+xIToa+feH0abuGcqlSHr8LEVi50l7TV7t2xscVxlrEntKzZ0+KFy+e7nSKefPmcf78eb+bRgEQ1iiMqfdNJaRsCAZDSNkQpt43lbBG/hdrfnHPPfcwevRoPvnkE4YOHcozzzwDQNu2bXE4/PNiNn0eKKWU95iMvk7OS6GhobJhwwZfh5G1Z56BN96wE38HDPBo00lJEB0NEybAL7/ANdfYucXVqtkKE2mnUwQH28FqP8zd8o1+/frxww8/cOjQIYKCLi2O0L59e/bt20dcXJwus1xIpKSk0KhRI7Zt23bZ9uDgYKZOneqXH5KUUkrlnDHmFxEJTW+fjhi766uvbFI8bJhHk+IjR2DMGAgJgYgIe0HdlClw4AC89ho89phNgkNC7KyNkBBNij0hIiKCY8eO8e23317cdvDgQZYvX05YWJgmxYVIYGAgCQkJV20/e/as20tIK6WUKhh0xNgdv/9ua6PVrWvnOXig/MOmTfDOOzBzJpw/D/fcA088AR075nk55EIpOTmZatWq0a5du4sLfrz11luMGjWKuLg46tWr5+MIVV4KCAhI92JMYwxOpzOdM5RSSuVXOmKcG4mJtjaaMbZecS6S4pQU+PJLu2p0kybw+ecweLCtLrFkCXTqpElxXilatCj9+vVjwYIFnDhxArDVKFq0aKFJcSFUM4NJ+xltV0opVTBpGpaVxx+H2Fi7sl2tWjlq4tQpO3e4Xj144AE7AP3663a6xOTJ0KCBZ0NW7gkPD+f8+fPMmzePbdu2ERsbq/NJC6lx48YRHHxFpYfgYMaN00oPSilVmPhXPSp/89lndkLvs8/Cffdl+/Rdu+C99+CTT2whi9atbULcvTv4WSWwQqlFixbccMMNREVFsWfPHgICAujbt6+vw1I+kPqBaPTo0ezbt4+aNWsybtw4/aCklFKFjM4xzsiWLdCypf354Qe3M1kRu/7HO+/AwoX2tL597cBzaLqzWZQv9erVi3nz5gFQvHhxPvroI02GlFJKqQIssznGOm6ZnoQEO6+4TBmYNcutpPjcOVvF7Z13bE5dqRI8/7xdGK9KlTyIWWWbw+Fg8eLFF39PTExkyJAhAJocK6WUUoWQzjG+kgg89BDs3AmzZ2eZ1R48aJdtrlEDHn7Yrkb3ySd21bqXX9ak2J+NHj364lLAqbREl1JKKVV46YjxlSZNsittvPIKtGuX4WHr1tkL6ubMsdUmunWz0yXatvXqKtHKg/bt25et7UoppZQq2DQxTuvnn+Gpp6BrV7vK3RWSk2H+fDtdYs0aKF0aHnkEHn008+WblX+qWbMm8fHx6W5XSimlVOGjUylSHTsGvXvbNZinT7+soPCxY/Dqqzb57dfPrlb37rt2GsX48ZoU51daoksppZRSaemIMYDTaddj/vNPWLUKypcH4Lff7OhwVJS9uK59e7tcc+fOuhBHQaAlupRSSimVlibGYOcTL1kCkyfjbBbKN4vt/OHvv7cL3YWHw2OPQaNGvg5UeVpYWJgmwkoppZQCCnFivHKEg+unjqZqyj4MwpE6rZibMox3b4S4OKhaFcaNgyFDoGJFX0erlFJKKaW8rVAmxitHOGg6ZQglOXtxW6ndG1n16EyuaRnGzJnQsycEBfkwSKWUUkoplacK5cp3B4pcT/WUq6sR7A8IoUbK3jyLQymllFJK5a3MVr4rlJeQVU1Jv05tNafWr1VKKaWUKqwKZWJ8KDD9OrUZbVdKKaWUUgWf24mxMSbQGBNrjFno+v0NY8x2Y8xmY8wXxphr0hz7nDFmlzFmhzGmkxfizpW9Q8Zxhsvr154hmL1DtH6tUkoppVRhlZ0R48eBbWl+/x5oKCKNgTjgOQBjzE1AP+Bm4B5gsjEm0DPhekbryWHEDp/KgcAQnBgOBIYQO3wqrSdr2S6llFJKqcLKrcTYGFMd6AJ8lLpNRL4TkQuuX9cC1V23uwGzReS8iOwBdgEtPReyZ7SeHEb1C3sJECfVL+zVpFgppZRSqpBzd8R4AvAM4Mxg/2Bgiet2NWB/mn0HXNsuY4wZYozZYIzZ8Ndff7kZhlJKKaWUUt6RZWJsjOkKHBGRXzLYPxq4ADhSN6Vz2FU14URkqoiEikhopUqVshGyUkoppZRSnufOAh93APcbYzoDxYEyxpgZIhJujHkQ6Aq0l0sFkQ8ANdKcXx045MmglVJKKaWU8rQsR4xF5DkRqS4i12MvqlvmSorvAf4N3C8iZ9OcsgDoZ4wpZoypBdQD1nkhdqWUUkoppTwmN0tCTwSKAd8bYwDWisgwEdlqjIkGfsNOsRgpIim5D1UppZRSSinvyVZiLCIrgBWu23UzOW4coEWBlVJKKaVUvlEoV75TSimllFLqSpoYK6WUUkophSbGSimllFJKAZoYK6WUUkopBWhirJRSSimlFKCJsVJKKaWUUoAmxkoppZRSSgGaGCullFJKKQVoYqyUUkoppRQARkR8HQPGmL+AeF/HkQ9UBI76OogCSvvWe7RvvUf71nu0b71H+9Z7tG/dEyIildLb4ReJsXKPMWaDiIT6Oo6CSPvWe7RvvUf71nu0b71H+9Z7tG9zT6dSKKWUUkophSbGSimllFJKAZoY5zdTfR1AAaZ96z3at96jfes92rfeo33rPdq3uaRzjJVSSimllEJHjJVSSimllAI0MfY5Y8wnxpgjxpgtabbdYoxZY4z51RjztTGmjGt7kDFmmmv7JmNMuzTn9Hdt32yM+cYYUzHvH43/MMbUMMYsN8ZsM8ZsNcY87tpe3hjzvTFmp+vfcmnOec4Ys8sYs8MY0ynN9uauvt1ljHnXGGN88Zj8haf61hgTbIxZZIzZ7mrnVV89Jn/hyedtmv0L0r6+FFYefk0IMsZMNcbEuZ6/PX3xmPyFh/tW38vSyG7fGmMquI4/bYyZeEVb+l7mDhHRHx/+AG2AZsCWNNvWA21dtwcDY1y3RwLTXLcrA79gP9wUAY4AFV37Xgciff3YfNyvVYBmrtulgTjgJlffPOva/izwmuv2TcAmoBhQC9gNBLr2rQNaAQZYAtzr68dXEPoWCAbudB0TBPykfeu5561rfw9gZtrXl8L64+HXhJeAsa7bAamvvYX1x4OvCfpelvu+LQm0BoYBE69oS9/L3PjREWMfE5EfgeNXbK4P/Oi6/T2QOhpxE7DUdd4R4AQQin2SG6Ck6xNgGeCQVwP3cyJyWERiXLcTgG1ANaAbMN112HSgu+t2N2C2iJwXkT3ALqClMaYKUEZE1oh9ZfkszTmFkqf6VkTOishyVztJQAxQPc8eiB/yVN8CGGNKAU8BY/PsAfgxT/YtdsDiFVdbThEp1AsqeLBv9b3sCtntWxE5IyIrgcS07eh7mfs0MfZPW4D7Xbd7AzVctzcB3YwxRYwxtYDmQA0RSQaGA79iX0RuAj7O25D9lzHmeqAp8DNwrYgcBvuCgx15B/tCsz/NaQdc26q5bl+5XZHrvk3bzjXAfbg++CmP9O0Y4C3gbF7Em5/kpm9dz1WAMcaYGGPMHGPMtXkSeD6Qm77V97LMudm3GdH3MjdpYuyfBgMjjTG/YL86SXJt/wT7ZN4ATABWAxeMMUWxLyZNgarAZuC5PI7ZL7lGzeYBT4jIqcwOTWebZLK90PNA36a2UwSYBbwrIr97Nsr8Kbd9a4xpAtQVkS+8EV9+5oHnbRHsNxurRKQZsAZ40+OB5kMeeN7qe1kGstG3GTaRzjZ9L0uHJsZ+SES2i8jdItIcmzDsdm2/ICJPikgTEekGXAPsBJq49u92fUUSDdzuk+D9iOtFdh7gEJH5rs1/ur5SSv1q6Yhr+wEujcyDfeM75NpePZ3thZqH+jbVVGCniEzwatD5hIf6thXQ3BizF1gJ3GCMWeH96P2bh/r2GHYUPvVDxxzsdSKFmof6tgnoe9mVstm3GdH3MjdpYuyHjDGVXf8GAM8D77t+DzbGlHTd7ghcEJHfgIPATcaYSq4mOmLnIRVarvlpHwPbROTtNLsWAA+6bj8IfJVmez9jTDHXNJV6wDrXV1QJxpjbXG0OTHNOoeSpvnW1NRYoCzyRB6H7PQ8+b6eISFURuR57IU6ciLTLi8fgrzzYtwJ8DbRzHdce+M3L4fs1D74m6HvZFXLQt+nS97JsyMsr/fTn6h/siPBhIBn7ie5fwOPYK0/jgFe5tBDL9cAO7AvFD0BImnaGubZvxr5oV/D1Y/Nxv7bGfk20Gdjo+ukMVMDOY93p+rd8mnNGY0fnd5Dmal3sBY5bXPsmpv49CuuPp/oWO2IhrudtajsP+frxFYS+vaLN69GqFJ5+TQjBXiC92XVOTV8/vgLUt/pelvu+3Yu9qP80Nq+4ybVd38vc+NGV75RSSimllEKnUiillFJKKQVoYqyUUkoppRSgibFSSimllFKAJsZKKaWUUkoBmhgrpZRSSikFaGKslFJKKaUUoImxUkoppZRSgCbGSimllFJKAfD/ARr2sBkcv7A+AAAAAElFTkSuQmCC\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 0x7fc7ce088ee0>"
      ]
     },
     "execution_count": 4,
     "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 = 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": 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RKQQHdV3PtLK2gadW7OblTw4Q5BIWzB7M9y7xndkmxhjW7qnmz2v380HBIXqHBPHkN8cwfUiy06UpH6XhrnxGYUUtv1xcwJpdVWQmhPPArEHMGZ7SrVMXD1Qf5+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": [
    {
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       "  <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": {
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       "      <th></th>\n",
       "      <th>$\\hat{y}_t$</th>\n",
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       "      <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",
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       "    <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",
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       "    <tr>\n",
       "      <th>2005-07-01</th>\n",
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       "      <td>36.258004</td>\n",
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       "    <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",
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       "    <tr>\n",
       "      <th>2007-10-01</th>\n",
       "      <td>41.665525</td>\n",
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       "      <td>41.846432</td>\n",
       "      <td>0.995677</td>\n",
       "      <td>40.4202</td>\n",
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       "    <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",
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       "    <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,
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