{ "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" }, "execution": { "iopub.execute_input": "2022-11-02T17:06:46.655114Z", "iopub.status.busy": "2022-11-02T17:06:46.654578Z", "iopub.status.idle": "2022-11-02T17:06:47.728123Z", "shell.execute_reply": "2022-11-02T17:06:47.727435Z" } }, "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", "\n", "%matplotlib inline\n", "\n", "data = [\n", " 446.6565,\n", " 454.4733,\n", " 455.663,\n", " 423.6322,\n", " 456.2713,\n", " 440.5881,\n", " 425.3325,\n", " 485.1494,\n", " 506.0482,\n", " 526.792,\n", " 514.2689,\n", " 494.211,\n", "]\n", "index = pd.date_range(start=\"1996\", end=\"2008\", freq=\"A\")\n", "oildata = pd.Series(data, index)\n", "\n", "data = [\n", " 17.5534,\n", " 21.86,\n", " 23.8866,\n", " 26.9293,\n", " 26.8885,\n", " 28.8314,\n", " 30.0751,\n", " 30.9535,\n", " 30.1857,\n", " 31.5797,\n", " 32.5776,\n", " 33.4774,\n", " 39.0216,\n", " 41.3864,\n", " 41.5966,\n", "]\n", "index = pd.date_range(start=\"1990\", end=\"2005\", freq=\"A\")\n", "air = pd.Series(data, index)\n", "\n", "data = [\n", " 263.9177,\n", " 268.3072,\n", " 260.6626,\n", " 266.6394,\n", " 277.5158,\n", " 283.834,\n", " 290.309,\n", " 292.4742,\n", " 300.8307,\n", " 309.2867,\n", " 318.3311,\n", " 329.3724,\n", " 338.884,\n", " 339.2441,\n", " 328.6006,\n", " 314.2554,\n", " 314.4597,\n", " 321.4138,\n", " 329.7893,\n", " 346.3852,\n", " 352.2979,\n", " 348.3705,\n", " 417.5629,\n", " 417.1236,\n", " 417.7495,\n", " 412.2339,\n", " 411.9468,\n", " 394.6971,\n", " 401.4993,\n", " 408.2705,\n", " 414.2428,\n", "]\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 = [\n", " 41.7275,\n", " 24.0418,\n", " 32.3281,\n", " 37.3287,\n", " 46.2132,\n", " 29.3463,\n", " 36.4829,\n", " 42.9777,\n", " 48.9015,\n", " 31.1802,\n", " 37.7179,\n", " 40.4202,\n", " 51.2069,\n", " 31.8872,\n", " 40.9783,\n", " 43.7725,\n", " 55.5586,\n", " 33.8509,\n", " 42.0764,\n", " 45.6423,\n", " 59.7668,\n", " 35.1919,\n", " 44.3197,\n", " 47.9137,\n", "]\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" }, "execution": { "iopub.execute_input": "2022-11-02T17:06:47.734223Z", "iopub.status.busy": "2022-11-02T17:06:47.731649Z", "iopub.status.idle": "2022-11-02T17:06:47.912176Z", "shell.execute_reply": "2022-11-02T17:06:47.911565Z" } }, "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": [ "
" ] }, "metadata": {}, "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" }, "execution": { "iopub.execute_input": "2022-11-02T17:06:47.917091Z", "iopub.status.busy": "2022-11-02T17:06:47.915955Z", "iopub.status.idle": "2022-11-02T17:06:48.354601Z", "shell.execute_reply": "2022-11-02T17:06:48.353966Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAA9oAAAKTCAYAAADmN3BXAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjYuMCwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy89olMNAAAACXBIWXMAAA9hAAAPYQGoP6dpAAEAAElEQVR4nOzdeVgV5RvG8e/hAIoo7gqKa+77voZZmZm2GKllWmaLZZb7gua+a2raXlZmuWVKZf5MK8tExSVNM7fcBcVdQUUFzpnfHxMkiQp6YA5wf67rXAxzhpl7UIuH953ntRmGYSAiIiIiIiIiLuFhdQARERERERGRrESFtoiIiIiIiIgLqdAWERERERERcSEV2iIiIiIiIiIupEJbRERERERExIVUaIuIiIiIiIi4kAptERERERERERfytDrA7XA6nRw7dow8efJgs9msjiMiIiIiIiJZnGEYXLhwgWLFiuHhcfMx60xZaB87dowSJUpYHUNERERERESymYiICAIDA296TKYstPPkyQOYN+jn52dxGhEREREREcnqYmJiKFGiRFI9ejOZstBOnC7u5+enQltEREREREQyTGoeX1YzNBEREREREREXUqEtIiIiIiIi4kIqtEVERERERERcKFM+oy0iIiIiklU4HA7i4+OtjiGS7Xl5eWG3211yLhXaIiIiIiIWMAyD48ePc/78eaujiMg/8uXLh7+/f6oant2MCm0REREREQskFtlFihQhV65cd/yDvYjcPsMwiI2N5eTJkwAEBATc0flUaIuIiIiIZDCHw5FUZBcsWNDqOCIC+Pj4AHDy5EmKFClyR9PI1QxNRERERCSDJT6TnStXLouTiMi1Ev9N3mnfBBXaIiIiIiIW0XRxEffiqn+TKrRFREREREREXEiFtoiIiIiIiIgLqRmaiIiIiEgm5nBAWBhERUFAAAQFgYuWAhaR26QRbRERERGRTCo0FEqXhnvvhaefNj+WLm3uzyree+89SpcuTc6cOWnYsCEbN2684bETJkygfv365MmThyJFitC2bVv27NmTgWlFTCq0RUREREQyodBQaNcOIiOT7z961NyfFYrtr776ir59+zJixAi2bNlCzZo1efDBB5PWOv6v3377jR49erB+/Xp++ukn4uPjadmyJZcuXcrg5JLd2QzDMKwOkVYxMTHkzZuX6Oho/Pz8rI4jIiIiIpImV65c4eDBg5QpU4acOXMCYBgQG5u6r3c4oEoVs6hOic0GxYvDjh2pm0aeK5f5NWmxceNGBg4cyIYNGyhVqhRz5sxhy5YtLF26lCVLlqTtZDfQsGFD6tevz7vvvguA0+mkRIkSvP7664SEhNzy60+dOkWRIkX47bffaNasmUsySdaW0r/NRGmpQzWiLSIiIiLiBmJjIXfu1L3y5r1xkQ1m0R4ZaR6XmvOltsBPtH79eu655x7atGnDn3/+SeXKlRk9ejSTJk1i1KhRyY4dP348uXPnvunryJEj110jLi6OzZs306JFi6R9Hh4etGjRgvDw8FTljI6OBqBAgQJpu0GRO6RmaCIiIiIikiZ9+/alffv2DBgwAICOHTvSsWNHHnvsMWrXrp3s2FdeeYUOHTrc9HzFihW7bt/p06dxOBwULVo02f6iRYuye/fuW2Z0Op307t2bpk2bUq1atVseL+JKKrRFRERERNxArlxw8WLqjl29Glq3vvVxy5ZBamZM58qVuusCREZGEh4ezpQpU5L2eXp6YhjGdaPZYI4mWzGi3KNHD/766y/WrFmT4dcWUaEtIiIiIuIGbDbw9U3dsS1bQmCgOX08pY5LNpv5fsuWrl/qa9euXQDUqVMnad+ePXto0KAB1atXv+748ePHM378+Juec+fOnZQsWTLZvkKFCmG32zlx4kSy/SdOnMDf3/+m53vttddYunQpq1evJjAw8KbHiqQHFdoiIiIiIpmM3Q4zZpjdxW225MV2YlOz6dPTZz3t6Oho7HY7tn8udPbsWaZMmULNmjVTPP52p457e3tTt25dVq5cSdu2bQFzOvjKlSt57bXXUjyPYRi8/vrrfPPNN6xatYoyZcqk4c5EXEeFtoiIiEgW4XA4CAsLIyoqioCAAIKCgrCnR6UlbiE4GBYtgl69ki/xFRhoFtnBwelz3Vq1auFwOJg8eTLt27enV69elC5dmp07d3L48GFKlSqV7Pg7mTret29funTpQr169WjQoAHTp0/n0qVLdO3aNemYd999l2+++YaVK1fSo0cP5s2bx3fffUeePHk4fvw4AHnz5sXHx+f2b1okjdR1XERERCQLCA0NpXTp0tx77708/fTT3HvvvZQuXZrQrLCYstxQcDAcOgS//grz5pkfDx5MvyIboFy5cowePZoZM2ZQu3ZtihUrxo8//kjx4sVp1aqVS6/15JNPMmXKFIYPH06tWrXYunUry5cvT9Yg7fTp0+zfvx+ADz74gOjoaJo3b05AQEDS66uvvnJpLpFb0TraIiIiIplcaGgo7dq1478/1iVO7V20aBHB6Vl5SZrdbK1eEbGO1tEWERERERwOB7169bquyAaS9vXu3RuHw5HR0UREsi0V2iIiIiKZWFhYGJHXPqD7H4ZhEBERQVhYWAamEhHJ3lRoi4iIiGRiUVFRLj1ORETunAptERERkUwsICDApceJiMidU6EtIiIikokFBQURGBh402NKlChBUFBQBiUSEREV2iIiIiKZmN1uZ/jw4Tc95sUXX9R62iIiGUiFtoiIiEgmt379egC8vb2T7ffx8QFg6tSpbNu2LcNziYhkV55WBxARERGR27d9+3ZmzZoFwC+//EJ8fDxRUVEEBARQr149WrduTVhYGK1atWLdunWUKVPG4sQiIlmfCm0RERGRTGzQoEEYhkG7du1o2rTpde8vWbKEZs2asX37dlq2bMnatWspUqSIBUlFRLIPTR0XERERyaRWrlzJDz/8gKenJ+PHj0/xmHz58rF8+XJKlSrFvn37aN26NRcuXMjgpJKuHA5YtQrmzzc/OhxWJ3Kp9957j9KlS5MzZ04aNmzIxo0bb/k1R48epXPnzhQsWBAfHx+qV6/O77//ngFpRUwqtEVEREQyIafTycCBAwHo3r075cuXv+GxxYoV48cff6RQoUJs3ryZ4OBg4uLiMiqqpKfQUChdGu69F55+2vxYurS5Pwv46quv6Nu3LyNGjGDLli3UrFmTBx98kJMnT97wa86dO0fTpk3x8vLihx9+YOfOnUydOpX8+fNnYHLJ7lRoi4iIiGRCCxYsYMuWLeTJk4dhw4bd8vgKFSrwv//9D19fX37++We6dOmC0+nMgKTpx+F0sOrQKuZvn8+qQ6twOLPWSO4thYZCu3YQGZl8/9Gj5v50LrY3btxI8+bN8fHxoVKlSvz+++98/PHHPProoy67xrRp03jppZfo2rUrVapU4cMPPyRXrlx89tlnN/yaSZMmUaJECWbNmkWDBg0oU6YMLVu25K677nJZLpFbUaEtIiIikslcvXqVIUOGABASEkLhwoVT9XUNGjRg8eLFeHp6smDBAvr06YNhGOkZNd2E7gql9IzS3Dv7Xp4OfZp7Z99L6RmlCd2ViUdyDQMuXUrdKyYGevY0vyal8wD06mUel5rzpfHvwfr167nnnnto06YNf/75J5UrV2b06NFMmjSJUaNGJTt2/Pjx5M6d+6avI0eOXHeNuLg4Nm/eTIsWLZL2eXh40KJFC8LDw2+YbcmSJdSrV4/27dtTpEgRateuzcyZM9N0fyJ3Ss3QRERERDKZ9957j8OHD1OsWDF69+6dpq998MEH+fzzz+ncuTNvv/02AQEBhISEpE/QdBK6K5R2C9thkLw4PBpzlHYL27GowyKCKwdblO4OxMZC7tyuOZdhmCPdefOm7viLF8HXN9Wn79u3L+3bt2fAgAEAdOzYkY4dO/LYY49Ru3btZMe+8sordOjQ4abnK1as2HX7Tp8+jcPhoGjRosn2Fy1alN27d9/wXAcOHOCDDz6gb9++DBkyhE2bNtGzZ0+8vb3p0qVLam9R5I6o0BYRERHJRM6dO8fYsWMBGDNmDLly5UrzOTp16sSpU6fo06cPgwcPpmjRonTt2tXVUdOFw+mg1/Je1xXZAAYGNmz0Xt6bxyo+ht3DbkHCrC8yMpLw8HCmTJmStM/T0xPDMK4bzQYoUKAABQoUyLB8TqeTevXqJTUIrF27Nn/99RcffvihCm3JMJo6LiIiIpKJjB8/nnPnzlG1atU7Khp69+7NoEGDAHjppZf4/vvvXRUxXYUdCSMyJvKG7xsYRMREEHYkLANTuUiuXObIcmpey5al7pzLlqXufGn4hc2uXbsAqFOnTtK+PXv20KBBA6pXr37d8bc7dbxQoULY7XZOnDiRbP+JEyfw9/e/Yb6AgACqVKmSbF/lypVTvIZIetGItoiIiEgmcejQId5++20AJk+ejN1+ZyO2EyZM4Pjx48yePZsOHTrw888/p7gWtzuJuhDl0uPcis2W+unbLVtCYKDZ+Cyl56ttNvP9li3hDv+e/Fd0dDR2ux2bzQbA2bNnmTJlCjVr1kzx+NudOu7t7U3dunVZuXIlbdu2BczR6pUrV/Laa6/d8FxNmzZlz549yfb9/ffflCpV6qYZRFxJI9oiIiIimcSwYcOIi4vjvvvu46GHHrrj89lsNmbOnEmbNm24cuUKDz/8MDt27HBB0vQTkCfApcdlWnY7zJhhbv9T8CZJ/Hz6dJcX2QC1atXC4XAwefJkdu/eTceOHSldujQ7d+7k8OHD1x1foEABypUrd9OXp2fK4399+/Zl5syZzJ49m127dtG9e3cuXbqU7FGHd999l/vvvz/p8z59+rB+/XrGjx/Pvn37mDdvHh9//DE9evRw+fdC5EZUaIuIiIhkAn/88Qdz5swBzNFs23+Lq9vk5eXFwoULadSoEefPn+fBBx906ym2QSWDCPQLvOkxNmyZc0Q7rYKDYdEiKF48+f7AQHN/cPo0hCtXrhyjR49mxowZ1K5dO2md9uLFi9OqVSuXXuvJJ59kypQpDB8+nFq1arF161aWL1+erEHa6dOn2b9/f9Ln9evX55tvvmH+/PlUq1aNMWPGMH36dDp16uTSbCI3YzMy4ZoOMTEx5M2bl+joaPz8/KyOIyIiIpKuDMPggQceYOXKlTz99NPMnTvX5dc4c+YMQUFB7Nq1i0qVKrFmzRoKFizo8uu4wld/fcVTi5+6br8NW7ImaX0a9WFSi0l42b0yMl6qXLlyhYMHD1KmTBly5sx5ZydzOCAsDKKiICAAgoLSZSRbJDu42b/NtNShGtEWERERcXM//vgjK1euxNvbO6njuKsVLFiQFStWEBgYyO7du2nTpg2XLl1Kl2vdqeMXjwPgYUv+o2ygXyBft/uawXcPBuCt9W9x/xf3Jx2fZdnt0Lw5dOxoflSRLWI5NUMTERERcWMOh4OBAwcC8Nprr1GmTJl0u1aJEiVYsWIFd999Nxs2bKBDhw58++23eHm5z4hwzNUYxoaZv2x4v/X7VCxUkagLUQTkCSCoZBB2DzvtqrajQfEGdPm2C2FHwqjzUR2+bv81TUu6d6M3Eck6NKItIiIi4sa+/PJL/vzzT/Lly8cbb7yR7terUqUK//vf//Dx8WHZsmW8+OKLuNOThlPWTeF07GkqFqzIC3VeoHnp5nSs3pHmpZsnWze7baW2bHppE1ULVyXqYhTNZzfnnQ3vuNW9iEjWpUJbRERExE1dvnyZoUOHAjBkyBAKFCiQIddt3LgxCxcuxG6388UXXyStt2214xePMzV8KgDj7x+Pp8fNJ2dWKFiB9S+u58mqT5LgTKDn8p48880zXIpzzynxIpJ1qNAWERERcVMzZszg6NGjlCxZktdffz1Dr/3www/zySefAPDmm28yderUDL1+Skb/NprY+FgaFm/I45UeT9XX5PbOzfwn5vPWg29ht9mZu30ujT9tzL6z+9I5rYhkZyq0RURERNzQ6dOnmTBhAgDjxo27887Ut+G5555j4sSJAPTv3z9peTEr7D2zl5lbZgIwqcWkNC1vZrPZ6N2oN792+ZWivkXZfnI79T6ux/d7vk+vuCKSzanQFhEREXFDY8eOJSYmhlq1avH0009blmPgwIH07t0bgK5du7J8+XJLcgz9dSgJzgRal2/NPaXvua1zBJUKYsvLW2haoinRV6N5dMGjDPtlGA6nw8VpRSS7U6EtIiIi4mb279/P+++/D5jTtj08rPuRzWazMXXqVJ5++mkSEhJ44okn2LBhQ4Zm+P3Y7yzcsRAbNibcP+GOzlUsTzF+6fILPRv0BGBs2FjazGvDmdgzrogqIgKo0BYRERFxO2+88Qbx8fE8+OCDtGjRwuo4eHh4MGvWLFq2bElsbCxt2rRhz549GXJtwzAY9LPZjK1zjc7UKFrjjs/pbfdmxkMzmPP4HHw8fVixfwX1ZtZjS9SWOz63iAio0BYRERFxKxs3buSrr77CZrMxadIkq+Mk8fb2ZvHixdSvX58zZ87QsmVLjh49mu7X/enAT/xy8Be87d6Mvne0S8/dqUYn1r+4nrvy38Wh84do8mkTZv0xy6XXEJHsSYW2iIiIiJswDIMBAwYA8Oyzz1KzZk2LEyWXO3du/ve//1G+fHmOHDlCq1atOHfuXLpdz2k4k0aze9TvQel8pV1+jRpFa/B7t995pMIjXHVc5fklz/Py9y9zNeGqy6+VXhxOB6sOrWL+9vmsOrQqyz1z/t5771G6dGly5sxJw4YN2bhx402PdzgcDBs2jDJlyuDj48Ndd93FmDFjktZQv3DhAr1796ZUqVL4+PjQpEkTNm3alOwcEyZMoH79+uTJk4ciRYrQtm3bFGdxpCbbrY651fsffPABNWrUwM/PDz8/Pxo3bswPP/yQ7JjVq1fzyCOPUKxYMWw2G99+++11OW5136m559Rc51bf/9QeM3LkSGw2W7JXpUqVkl0rNZmPHj1K586dKViwID4+PlSvXp3ff//9utwuZ2RC0dHRBmBER0dbHUVERETEZZYsWWIARs6cOY0jR45YHeeGDh48aAQEBBiAcffddxuxsbHpcp15f84zGInhN8HPOHXpVLpcI5HD6TDG/jbWsI20GYzEqP9xfePI+fT7M7h8+bKxc+dO4/Lly3d0nsU7FxuB0wINRpL0CpwWaCzeudhFSa21YMECw9vb2/jss8+MHTt2GC+99JKRL18+48SJEzf8mnHjxhkFCxY0li5dahw8eND4+uuvjdy5cxszZswwDMMwOnToYFSpUsX47bffjL179xojRoww/Pz8jMjIyKRzPPjgg8asWbOMv/76y9i6davRunVro2TJksbFixfTlO1Wx6TmHEuWLDH+97//GX///bexZ88eY8iQIYaXl5fx119/JR2zbNky44033jBCQ0MNwPjmm2+u+77c6r5Tc8+puc6tvv+pPWbEiBFG1apVjaioqKTXqVPJ/ztwq8xnz541SpUqZTz33HPGhg0bjAMHDhgrVqww9u3bl8LfHNPN/m2mpQ5VoS0iIiLiBuLj443KlSsbgBESEmJ1nFvatm2bkTdvXgMwHn30USM+Pt6l57+acNUoM72MwUiMsb+Ndem5b2b53uVGgUkFDEZiFJpcyPh5/8/pch1XFNqLdy5O+sXAtS/bSJthG2lL92J7w4YNxj333GPkzJnTqFixorFp0ybjo48+Mh555BGXXaNBgwZGjx49kj53OBxGsWLFjAkTJtzwa9q0aWM8//zzyfYFBwcbnTp1MmJjYw273W4sXbo02ft16tQx3njjjRue8+TJkwZg/Pbbb2nKdqtjbuf+DMMw8ufPb3zyyScpvpdSAXw7953SPd/qOoZx8+9/Wo4ZMWKEUbNmzRSvfSP/zTxo0CDj7rvvTtM5XFVoa+q4iIiIiBuYNWsWu3btomDBgoSEhFgd55Zq1KjBkiVLyJEjB0uWLKF79+7Jpn3eqY9+/4iD5w/in9uf3o16u+y8t/JguQfZ3G0zdQLqcDr2NC3ntGTSmkkuvbcbMQyDS3GXUvWKuRJDzx96YnB9rsR9vX7oRcyVmFSdL633t379eu655x7atGnDn3/+SeXKlRk9ejSTJk1i1KhRyY4dP348uXPnvunryJEj110jLi6OzZs3J2sI6OHhQYsWLQgPD79htiZNmrBy5Ur+/vtvALZt28aaNWt46KGHSEhIwOFwXLcuvY+PD2vWrLnhOaOjowEoUKBAqrPd6pjbuT+Hw8GCBQu4dOkSjRs3vmHe/7qd+/7vPafWzb7/aTkGYO/evRQrVoyyZcvSqVOnFP+e3CzzkiVLqFevHu3bt6dIkSLUrl2bmTNnpul+bpdnhlxFRERERG7o0qVLDB8+HIBhw4aRN29eixOlTrNmzViwYAFPPPEEn3zyCf7+/owZM+aOz3vh6gXGrDbPM+KeEfh6+97xOdOidL7SrOm6hh7LejBr6yxCVoaw4egGPm/7OX45/NLturHxseSekNsl5zIwiLwQSd5Jqfu7dHHwxTR9n/v27Uv79u2Tegp07NiRjh078thjj1G7du1kx77yyit06NDhpucrVqzYdftOnz6Nw+GgaNGiyfYXLVqU3bt33/BcISEhxMTEUKlSJex2Ow6Hg3HjxtGpUycAGjduzJgxY6hcuTJFixZl/vz5hIeHU65cuRTP53Q66d27N02bNqVatWqpznarY9Jyf9u3b6dx48ZcuXKF3Llz880331ClSpUbfg/+K0+ePGm675TuObVu9f1P7TENGzbk888/p2LFikRFRTFq1CiCgoL466+/yJMnT6oyHzhwgA8++IC+ffsyZMgQNm3aRM+ePfH29qZLly5puq+0StOI9s0eSD979iyvv/46FStWxMfHh5IlS9KzZ8+k3yokOnLkCG3atCFXrlwUKVKEAQMGkJCQ4Lo7EhEREclkpk2bxvHjxylbtizdu3e3Ok6atG3blg8++ACAsWPH8u67797xOaeGT+VU7CnKFyjPC7VfuOPz3Q4fLx8+ffRTPn74Y7zt3nyz+xvqz6zPjpM7LMnjTiIjIwkPD+eVV15J2ufp6YlhGNeNZoM5uliuXLmbvjw9XTf+t3DhQubOncu8efPYsmULs2fPZsqUKcyePRuAL7/8EsMwKF68ODly5ODtt9+mY8eON1yvvkePHvz1118sWLDAZRnTqmLFimzdupUNGzbQvXt3unTpws6dO9N0jrTc953c862+/6k95qGHHqJ9+/bUqFGDBx98kGXLlnH+/HkWLlyY4nVTyux0OqlTpw7jx4+ndu3adOvWjZdeeokPP/wwzfeVVmn+G121alV+/vnnf0/wzz+KY8eOcezYMaZMmUKVKlU4fPgwr7zyCseOHWPRokWAOdWhTZs2+Pv7s27dOqKionj22Wfx8vJi/PjxLrolERERkczjxIkTTJ48GTCn2Hp7e1ucKO26devGiRMnGD58OD179qRIkSK3HMG8kRMXTzA1fCoA4+4bh5fdy5VR08Rms/FS3Zeo6V+Tdgvb8feZv2n4SUM+ffRTnqz2pMuvl8srFxcHX0zVsasPr6b1vNa3PG7Z08toVqpZqq6dWrt27QKgTp06Sfv27NlDgwYNqF69+nXHjx8//pY/6+/cuZOSJUsm21eoUCHsdjsnTpxItv/EiRP4+/vf8FwDBgwgJCSEp556CoDq1atz+PBhJkyYQJcuXbjrrrv47bffuHTpEjExMQQEBPDkk09StmzZ68712muvsXTpUlavXk1gYGCast3qmLTcn7e3d9LIc926ddm0aRMzZszgo48+uuH34b9Se983uufUutX3P7XH/Fe+fPmoUKEC+/btu+69G2UOCAi4buS/cuXKLF68OM33lVZpfkbb09MTf3//pFehQoUAqFatGosXL+aRRx7hrrvu4r777mPcuHF8//33SSPWP/74Izt37mTOnDnUqlWLhx56iDFjxvDee+8RFxd3w2tevXqVmJiYZC8RERGRrGDUqFFcvHiR+vXr33Zx6g6GDh3Kq6++imEYdO7cmZUrV97WecauHsvFuIvUL1afdlXauTjl7WlQvAGbu23m/jL3cyn+Ek8tfoq+K/oS74h36XVsNhu+3r6perW8qyWBfoHYsKV8LmyU8CtBy7tapup8NlvK50lJdHQ0drs96WvOnj3LlClTyJUr5WL9lVdeYevWrTd9pTR13Nvbm7p16yb7u+R0Olm5cuVNn0+OjY29bpTWbrfjdDqT7fP19SUgIIBz586xYsUKHnvssaT3DMPgtdde45tvvuGXX36hTJkyac52q2Nu9/4Sj7t69faWoLvRfd/qnlMrNd//1P4ZXevixYvs37+fgICApH23yty0adPrlvv6+++/KVWqVJrvK83S0oFtxIgRRq5cuYyAgACjTJkyxtNPP20cPnz4hsfPnDnTKFSoUNLnw4YNu65z3IEDBwzA2LJly02vC1z3UtdxERERycx2795t2O12AzBWrVpldZw7lpCQYLRr184AjNy5cxubN29O09fvO7PP8BztaTAS45cDv6RTytsX74g3Qn4KSeru3WxWMyPqQtRtncuVXcf/23k8vbuO79271wCM0aNHG7t27TJatmxp1KlTxyhatKhx6NAhl15rwYIFRo4cOYzPP//c2Llzp9GtWzcjX758xvHjx5OOeeedd4z77rsv6fMuXboYxYsXT1o6KjQ01ChUqJAxcOBAwzAMY/ny5cYPP/xgHDhwwPjxxx+NmjVrGg0bNjTi4uKSztG9e3cjb968xqpVq5ItL3XtUnapyXarY1JzjpCQEOO3334zDh48aPz5559GSEiIYbPZjB9//DHpmAsXLhh//PGH8ccffxiAMW3aNOOPP/5IVqvd6r5Tc8+puc6tvv+pPaZfv37GqlWrjIMHDxpr1641WrRoYRQqVMg4efJkqv+cNm7caHh6ehrjxo0z9u7da8ydO9fIlSuXMWfOnBv+nbNkea9ly5YZCxcuNLZt22YsX77caNy4sVGyZEkjJibmumNPnTpllCxZ0hgyZEjSvpdeeslo2bJlsuMuXbpkAMayZctueN0rV64Y0dHRSa+IiAgV2iIiIpLpPf744wbg0uWQrHblyhXj3nvvNQCjSJEixt69e1P9tR0XdTQYifHglw+mY8I7F7oz1MgzPo/BSIxiU4sZa4+sTfM50nMd7RLTSqT70l6jR482ChYsaOTMmdN47rnnjNOnTxt16tQxKlWq5PJrvfPOO0bJkiUNb29vo0GDBsb69euTvT9ixAijVKlSSZ/HxMQYvXr1MkqWLGnkzJnTKFu2rPHGG28YV69eNQzDML766iujbNmyhre3t+Hv72/06NHDOH/+fLJzpjTIBxizZs1KU7bUHHOr959//nmjVKlShre3t1G4cGHj/vvvT1ZkG4Zh/Prrrynm7dKlS9Ixt7rv1Nxzaq5zq+9/ao958sknjYCAAMPb29soXry48eSTT163/nVqMn///fdGtWrVjBw5chiVKlUyPv744+v+jK7lqkLb9k/A23L+/HlKlSrFtGnTeOGFfxtVxMTE8MADD1CgQAGWLFmCl5f5bE23bt04fPgwK1asSDo2NjYWX19fli1bdl079xuJiYkhb968REdH4+eXfp0fRURERNLL2rVrufvuu/Hw8GD79u1p6iDs7mJiYrjnnnvYunUrZcuWZe3atTd9phZgS9QW6n5cF4A/Xv6DWv61MiDp7dtzeg/BC4PZeWonnh6evPXgW/So3yPVU7CvXLnCwYMHKVOmzHVLLqWVw+kg7EgYUReiCMgTQFDJIOwe9js6p0h2dbN/m2mpQ+9oHe2UHki/cOECrVq1Ik+ePHzzzTdJRTaAv79/ig/7J74nIiIikh0YhpG0LNILL7yQpYpsAD8/P3744QfKli3LgQMHeOihh27ZYyfkZ3Pt8E7VO7l9kQ1QsVBFNry4gQ5VO5DgTOD1H17n2W+fJTY+NsOz2D3sNC/dnI7VO9K8dHMV2SJu4I4K7f8+kB4TE0PLli3x9vZmyZIl1/0GoHHjxmzfvp2TJ08m7fvpp5/w8/PLcv+DEREREbmRb775hvDwcHLlysXIkSOtjpMu/P39WbFiBUWKFGHr1q20bdv2hs2bfj7wMz8d+AkvDy/G3Hvn63BnlNzeuVnwxAKmtZyG3WZnzp9zaPxpY/advb4rsohkL2kqtPv3789vv/3GoUOHWLduHY8//jh2u52OHTsmFdmXLl3i008/JSYmhuPHj3P8+HEcDgcALVu2pEqVKjzzzDNs27aNFStWMHToUHr06EGOHDnS5QZFRERE3El8fDwhIebobb9+/VLstpxVlCtXjh9++IHcuXPz66+/0rlz56SfCxM5DWfSaHb3et0pk//2Oh1bxWaz0adxH1Y+u5IivkX488Sf1Pu4Hkv/Xmp1NBGxUJoK7cjISDp27EjFihXp0KEDBQsWZP369RQuXJgtW7awYcMGtm/fTrly5QgICEh6RUREAGbL9qVLl2K322ncuDGdO3fm2WefZfTo0elycyIiIiLu5uOPP2bv3r0UKVIkafp4VlanTh2+/fZbvLy8WLRoET179uTaFkFf7/iazVGbyeOdh6HNhlqY9M7cU/oetnTbQuPAxkRfjeaR+Y8w/NfhOJyOW3+xiGQ5d9QMzSpqhiYiIiKZUUxMDOXKlePUqVO8//77dO/e3epIGWbhwoU89dRTGIbB6NGjGTZsGPGOeCq/V5n95/Yzqvkoht8z3OqYdyzOEUe/Ff14d9O7ALQq14q5wXMp4FMg2XGJDZdKly6Nj4+PFVFFJAWXL1/m0KFD1jZDExEREZHUe/PNNzl16hQVKlTgxRdftDpOhurQoQNvv/02AMOHD+fjjz9m5paZ7D+3nyK+RejbuK/FCV3D2+7NO63f4cvHv8TH04fl+5ZT9+O6bInakuy4xIbBsbEZ3zxNRG4s8d/ktU29b4dGtEVEREQywLFjxyhXrhyXL18mNDSUxx9/3OpIlhg2bBhjx47FlsOG3zA/ohOiea/1e7xa/1Wro7nctuPbCF4YzIFzB8jpmZMP2nzAc7WeS3o/KiqK8+fPU6RIEXLlypXqpcFExPUMwyA2NpaTJ0+SL1++pIbf10pLHapCW0RERCQDvPTSS3zyySc0adKENWvWZNuiyjAMunXrxid/fwL3QXGf4hzsdxAv+52NHrmrc5fP8ey3zyY1R3u57svMaDWDHJ45MAyD48ePc/78eWtDikiSfPny4e/vn+J/o1Voi4iIiLiRHTt2UKNGDZxOJ2vXrqVJkyZWR7JUVHQUJaaWwGF34PM/H9Z/sp4aNWpYHSvdOA0n41aPY8SqERgYNCjegEXtF1EibwkAHA4H8fHxFqcUES8vL+z2G69Dn5Y61NPV4UREREQkuZCQEJxOJ8HBwdm+yAaYFD4Jh92Bb4wvl36/RKtWrVi3bh2lS5e2Olq68LB5MOyeYdQrVo9OoZ3YeHQjdT6uw1ftvuK+Mvdht9tv+sO9iGQ+aoYmIiIiko5WrVrF0qVL8fT0ZMKECVbHsdzBcwd5f9P7AHz57JdUq1qNqKgoHnzwQU6dOmVxuvT1UPmH+L3b79Tyr8Xp2NM88OUDTF47mUw4wVREbkGFtoiIiEg6cTqdSWtlv/zyy1SoUMHiRNYb9usw4p3xPFD2AR6v+TgrVqygVKlS/P3337Ru3ZqLFy9aHTFdlc1flnXPr6NLzS44DSeDfh5Eu6/bEXM1xupoIuJCKrRFRERE0snChQv5/fffyZ07N8OHZ/41ou/U1uNbmbd9HgATW0wEoFixYqxYsYKCBQvy+++/88QTTxAXF2dlzHTn4+XDrMdm8UGbD/Dy8CJ0VygNZjZg56mdVkcTERdRoS0iIiKSDq5evcqQIUMAGDRoEEWKFLE4kfUGrxyMgcFT1Z6iTkCdpP0VK1Zk2bJl5MqVix9//JGuXbvidDotTJr+bDYbr9R7hbCuYRTPU5w9Z/bQYGYDvt7xtdXRRMQFVGiLiIiIpIMPPviAgwcPEhAQQJ8+fayOY7lfD/7K8n3L8fTwZOy9Y697v0GDBixevBhPT0/mzZtHv379ssWzyw0DG7Ll5S3cW/peLsVfosOiDvT/sT8JzgSro4nIHVChLSIiIuJi58+fZ8yYMQCMHj0aX19fixNZyzAMBv08CDDXkb6rwF0pHteqVStmzZoFwPTp03nzzTczLKOVivgW4cdnfmRgk4EATA2fSosvWnDi4gmLk4nI7VKhLSIiIuJiEydO5OzZs1SpUoXnnnvO6jiWW7xrMZuObcLXy5dhzYbd9NjOnTszdepUwJxy//nnn2dAQut5engy6YFJLGq/iNzeufnt8G/U+bgO4RHhVkcTkdugQltERETEhY4cOcL06dMBmDRpEp6entYGsli8I54hK81n1fs36U/R3EVv+TV9+/ZN6tb+4osv8r///S9dM7qTJ6o8waaXNlGpUCWOXTjGPZ/fw/ub3k+aRu9wOlh1aBXzt89n1aFVOJwOixOLSEpsRiZ8+CUmJoa8efMSHR2Nn5+f1XFEREREknTp0oUvvviC5s2b88svv2Cz2ayOZKmPfv+IV/73CoVzFWZ/z/3kyZEnVV9nGAZdu3Zl9uzZ+Pj48PPPP9OkSZN0Tus+Lly9wPNLnmfRzkUAPFPjGR4q9xADfx5IZExk0nGBfoHMaDWD4MrBVkUVyTbSUoeq0BYRERFxka1bt1KnTh0Mw2Djxo3Ur1/f6kiWuhR3iXLvlOP4xeO83eptXm/4epq+Pj4+nrZt27Js2TLy58/PmjVrqFKlSjqldT+GYTA1fCqDfh6E00i5C7sN8xc5izosUrEtks7SUodq6riIiIiIiwwaNAjDMHjqqaeyfZENMH39dI5fPE6ZfGV4ud7Laf56Ly8vFi5cSKNGjTh37hwPPvggERER6ZDUPdlsNvo36c+KTivwsKX8Y7uBOWbWe3lvTSMXcSMqtEVERERc4Mcff+THH3/Ey8uLcePGWR3HcqdjTzN53WQAxt43Fm+7922dx9fXl6VLl1KpUiUiIyN58MEHOXv2rCujuj1Pu+cNR7TBLLYjYiIIOxKWgalE5GZUaIuIiIjcIafTycCB5tJMPXr0oGzZshYnst74sPHEXI2hln8tnqr21B2dq2DBgqxYsYLixYuza9cuHn74YWJjY12U1P1FXYhy6XEikv5UaIuIiIjcoblz57Jt2zby5s3L0KFDrY5jucPnD/PepvcAmHj/xBtOe06LkiVLsmLFCvLnz094eDgdOnTgypUrrFq1ivnz57Nq1Socjqw5dTogT4BLjxOR9Je915sQERERuUNXrlzhjTfeAGDw4MEULFjQ4kTWG75qOHGOOO4rcx8t72rpsvNWrVqVpUuX0qJFC/73v/9RsGDBZCPbgYGBzJgxg+DgrNUULKhkEIF+gRyNOZr0TPa1bNgI9AskqGSQBelEJCUa0RYRERG5A2+//TYRERGUKFGCnj17Wh3Hcn+e+JMvt30JmKPZrl7erEmTJvTq1QvguunjR48epV27doSGhrr0mlaze9iZ0WoG8G+X8USJn09vNR27hz3Ds4lIylRoi4iIiNymM2fOMH78eADGjh2Lj4+PxYmsN2TlEAwM2ldpT/3iru+87nA4mDNnTorvJa5a27t37yw3jTy4cjCLOiyiuF/xZPsD/QK1tJeIG9LUcREREZHbNG7cOKKjo6lZsyadOnWyOo7lfjv0G//b+z/sNjvj7kufzuthYWFERkbe8H3DMIiIiCAsLIzmzZunSwarBFcO5rGKjxF2JIyoC1EE5AkgqGSQRrJF3JAKbREREZHbcPDgQd59910AJk+ejN2evYsdwzAY9PMgALrV7Ub5guXT5TpRUanswJ3K4zIbuwHNDwFRQABQwto8IpIyFdoiIiIit+GNN94gPj6eBx54gJYtXdfwK7P6dve3bDi6gVxeuRh+z/B0u05AQCo7cKfyuEwlNBR69YJrR/QDA2HGDMhiDeBEMjs9oy0iIiKSRr///jvz58/HZrMxadIkq+NYLsGZwOCVgwHo26gv/rn90+1aQUFBBAYG3rDJms1mo0SJEgQFZbEO3KGh0K5d8iIb4OhRc38WawAnktmp0BYRERFJA8MwGDBgAACdO3emdu3aFiey3qw/ZrHnzB4K+hRkQNMB6Xotu93OjBn/dOBOodg2DIPp06dnran8Doc5km1cv7RX0r7evc3jRMQtqNAWERERSYMffviBVatWkSNHDsaOHWt1HMvFxscy8reRAAxtNhS/HH7pfs3g4GAWLVpE8eLFr3vPy8uLevXqpXuGdBcXB3v3wooVMGDA9SPZ1zIMiIiAsLCMyyciN6VntEVERERSKSEhgYEDBwLQq1cvSpYsaXEi67294W2OXThGqbyl6F6ve4ZdNzg4mMcee4ywsDCioqLw9/dn5MiRrF69mpCQEObNm5dhWW6LYcCJE3DggPk6eDD5x8jIlEewbyaLNoATyYxUaIuIiIik0uzZs9mxYwcFChRg8ODBVsex3NnLZ5m4ZiIAY+8bSw7PHBl6fbvdnmwJr3z58lG3bl3mz59Pz549adSoUYbmuc7Fi/8Wzv8tpg8ehMuXb/71Pj5Qtiz4+UF4+K2vlxUbwIlkUiq0RURERFLh0qVLDB9udtMeOnQo+fLlszaQG5gQNoHoq9HUKFqDp6s/bXUcateuzXPPPcesWbPo06cP69atu2HTNJdISDCnbN+omD516uZf7+Fhdg0vW9Z8lSmT/GORImCzmc9ely5tNj5LaZTbZjPPk9UawIlkYiq0RURERFJh+vTpHDt2jNKlS/Pqq69aHcdyR6KP8M7GdwCYeP9EPGwWtP5xOMznkqOizNHcoCDGjRvHwoULWb9+PV999RVPPfXU7Z/fMODMmeQF9LXbR47cugFZgQLXF9CJ2yVLgrf3rXPY7eYSXu3amUX1tcV24i8Spk83jxMRt2AzjLQ+/GG9mJgY8ubNS3R0NH5+6d9wQ0RERLK3kydPUq5cOS5cuMC8efPo2LGj1ZEs1/W7rny+9XPuKXUPv3b5NX1HjlNykzWlx+7cybBhwyhZsiS7d+/Gx8fnxue5fBkOHbpxMX3x4s1zeHubRfN/i+nEfa6c+ZDSPZcoYRbZWkdbJN2lpQ5VoS0iIiJyC6+//jrvvvsudevWZePGjXh4ZO+FW/46+Rc1P6yJ03Cy/oX1NAxsmLEBEteU/u+Psf8U+1fnzqX8oEFEREQwbswYhnTpcn2zscTt1DQQK1Ys5andZcqY72Xk34cURvE1ki2SMVRoi4iIiLjI3r17qVKlCgkJCfzyyy/ce++9Vkey3KPzH+X7v7/nicpPsKjDooy9eOLzyjdb7ip3bo6VKcOF7dspDdyyRVuePClP7S5bFkqVMpuSiUi2l5Y6VM9oi4iIiNzE4MGDSUhIoE2bNiqygTVH1vD9399jt9kZd9+4jA8QFnbzIhvg4kWKbd+e9GmCzYbnjZ6TLlvWfI46o6e+i0iWpkJbRERE5AbCw8NZvHgxHh4eTJw40eo4ljMMg0E/DwLghdovULFQxYwPkdq1ol96iR01atDm9dc5ahhsWryYWrVqpWs0EZFE2fsBIxEREZEbMAyDAQMGANC1a1eqVatmcSLrLdmzhHUR6/Dx9GFE8xHWhEjtWtFPP03V116j0ZNPkgD07duXTPjEpIhkUiq0RURERFLw3XffsXbtWnx8fBg1apTVcSyX4ExgyC9DAOjdqDfF8hSzJkhQkNld/EZTvW02sxP3P2tKT5o0iRw5cvDrr7+yZMmSDAwqItmZCm0RERGR/4iPj2fQIHOKdN++fSlevLjFiaz3xbYv2HlqJwV8CjCw6UDrgiSuKZ3S6HQKa0qXKlWKvn37AtC/f3/i4uIyKKiIZGcqtEVERET+49NPP+Xvv/+mcOHCDBxoYVHpJi7HX2b4r8MBeCPoDfLlzGdtoLJlU94fGAiLFl23pvTgwYMpWrQo+/bt47333suAgCKS3anQFhEREbnGhQsXGDHCfP54xIgRWkoUeHfjuxy9cJQSfiV4tf6rVseBkSPNj08+Cb/+CvPmmR8PHryuyAbIkycPY8eOBWD06NGcOXMmA8OKSHakQltERETkGlOmTOHkyZOUL1+ebt26WR3Hcucun2P8mvEAjLl3DDk9c1obaPNm+O478PAwC+7mzaFjR/PjP9PFU9K1a1dq1qzJ+fPnGZlYqIuIpBMV2iIiIiL/iIqKYsqUKQBMmDABLy8vixNZb+KaiZy/cp5qRarRuUZnq+P8O5rdsSNUqpTqL7Pb7UybNg2ADz74gF27dqVDOBERkwptERERkX+MHDmS2NhYGjVqRHAKU5Czm8iYSN7e+DYAE+6fgN3jxiPGGWLTJli61BzNHj48zV9+33338eijj+JwOOjfv386BBQRManQFhEREQF27drFJ598AsCbb76J7UbLR2UjI1eN5ErCFYJKBtGmfBur4/w7mt25M1SocFunePPNN/H09GTZsmX8+OOPrssmInINFdoiIiIiQEhICE6nk7Zt23L33XdbHcdyO0/tZNbWWQBMajHJ+l88bNgAy5aZz2EPG3bbp6lQoQKvvfYaYC7dlpCQ4KqEIiJJVGiLiIhItrd69WqWLFmC3W5n4sSJVsdxC2/88gZOw0nbSm1pXKKx1XH+Hc1+5hkoV+6OTjV8+HAKFCjAjh07+PTTT+88m4jIf6jQFhERkWzNMAwGDBgAQLdu3ahYsaLFiay3LmId3+7+Fg+bB+PvG291HAgPh+XLzdHsoUPv+HT58+dP6jw+bNgwoqOj7/icIiLXUqEtIiIi2dqiRYvYuHEjvr6+SetnZ2eGYTDo50EAdK3VlcqFK1ucCEj8c+nSBe66yyWnfOWVV6hUqRKnTp1i/Hg3+GWCiGQpKrRFREQk24qLi2Pw4MEADBw4kKJFi1qcyHr/2/s/1hxZQ07PnIxsPtLqOLB2Lfz0E3h6umQ0O5GXl1fSUm7Tp0/nwIEDLju3iIgKbREREcm2PvzwQ/bv34+/vz99+/a1Oo7lHE4HIT+HANCrYS8C/QItTsS/o9ldu0KZMi49devWrXnggQeIi4tj0KBBLj23iGRvKrRFREQkW4qOjmb06NEAjBo1ity5c1ucyHpf/vklO07tIF/OfAxq6gaFZ1gYrFwJXl7wxhsuP73NZmPq1Kl4eHiwaNEiwsLCXH4NEcmeVGiLiIhItjRp0iTOnDlDpUqVeP75562OY7krCVcY/utwAIbcPYT8PvktTsS/o9nPPw+lSqXLJapXr86LL74IQJ8+fXA6nelyHRHJXlRoi4iISLYTGRnJW2+9BZgFt6enp8WJrPfexveIiIkg0C+Q1xq8ZnUcWLUKfv3VHM0eMiRdLzV69Gjy5MnD5s2bmTNnTrpeS0SyBxXaIiIiku0MHz6cK1eu0KxZMx555BGr41ju/JXzjF9jdt4e1XwUPl4+1gYyjH9Hs198EUqWTNfLFS1alDf+mZo+ePBgLl26lK7XE5GsT4W2iIiIZCvbt2/n888/B+DNN9/EZrNZG8gNTF47mbOXz1KlcBWerfms1XHMkezVq8HbO91HsxP16tWL0qVLc+zYMd58880MuaaIZF0qtEVERCRbGThwIIZh0KFDBxo0aGB1HMsdu3CM6eunAzD+vvF4elg8jf7a0exu3SAwYzqf58yZk8mTJwMwefJkIiMjM+S6IpI1qdAWERGRbOPnn39m+fLleHl5MX78eKvjuIVRq0ZxOeEyTUo04dGKj1odx+wyvmYN5MgB/6xxnlHatWvH3XffzeXLlxmSQSPpIpI1qdAWERGRbMHpdDJw4EAAunfvzl133WVxIuvtPr2bT//4FIBJLSZZP43+2tHsl1+GYsUy9PI2m41p06YB8OWXX7Jp06YMvb6IZB0qtEVERCRbmD9/Pn/88Qd+fn4MHTrU6jhu4Y1f3sBhOHikwiPcXfJuq+PATz/BunWQMyeEhFgSoX79+jzzzDOAudyXYRiW5BCRzE2FtoiIiGR5V65cSeoqHRISQuHChS1OZL31kesJ3RWKh82D8fe7wTR6w4Dh5jrevPIKBARYFmX8+PH4+Piwdu1aFi1aZFkOEcm8VGiLiIhIluVwOFi1ahUvvvgihw8fpnjx4vTu3dvqWJYzDINBPw8CoEvNLlQrUs3iRMDy5bBhA/j4wKBBlkYJDAxMesxg4MCBXLlyxdI8IpL5qNAWERGRLCk0NJTSpUtz7733MnfuXABiY2P54YcfLE5mvR/2/cDqw6vJYc/BqOajrI6T/NnsV18Ff39r8wADBgygWLFiHDp0iLffftvqOCKSyajQFhERkSwnNDSUdu3aXbdE0/nz52nXrh2hoaEWJbOew+kg5Gfz+efXG7xOibwlLE4ELFsGmzZBrlzwz0iy1Xx9fZkwYQIAY8eO5eTJkxYnEpHMRIW2iIiIZCkOh4NevXql2MQqcV/v3r1xOBwZHc0tzNs+j+0nt5M3R14GB2Xs8lkpMgwYOdLc7tEDihSxNM61OnfuTL169bhw4QLDE58fFxFJBRXaIiIikqWEhYVdN5J9LcMwiIiIICwsLANTuYerCVcZ9uswAELuDqGATwGLEwFLl8Lvv4OvLwwYYHWaZDw8PJKW+5o5cybbt2+3OJGIZBYqtEVERCRLiYqKculxWckHv3/A4ejDFMtTjJ4Ne1odJ/mz2a+9Bm7YDT4oKIh27drhdDrp16+flvsSkVRRoS0iIiJZSkAql4VK7XFZRfSVaMauHgvAqOajyOWVy+JEwHffwR9/QO7c0L+/1WluaNKkSXh7e/PTTz+xbNkyq+OISCagQltERESylKCgIAoVKnTD9202GyVKlCAoKCgDU1lvyropnLl8hkqFKvFcreesjgNO57/PZvfsCTf5M7Na2bJl6dWrFwD9+vUjPj7e4kQi4u5UaIuIiEiWYrPZ8PX1veF7ANOnT8dut2dkLEtFXYhi2nrzWePx943H08PT4kTAt9/Ctm2QJw/062d1mlt64403KFy4MHv27OHDDz+0Oo6IuDkV2iIiIpKlzJ07l8OHD5MrVy6KFSuW7L3AwEAWLVpEcHCwRemsMfq30cTGx9IosBFtK7W1Ok7y0exevaCAGzRlu4W8efMyevRoAEaOHMm5c+csTiQi7kyFtoiIiGQZV65cYejQoQAMHz6cI0eO8OuvvzJv3jx+/fVXDh48mO2K7L/P/M3MLTMBmHj/xKRRfUuFhsL27eDnB337Wp0m1V588UWqVq3K2bNnk4puEZGUqNAWERGRLOPdd9/lyJEjBAYG0rNnT+x2O82bN6djx440b948W00XTzT0l6E4DAdtyrfhntL3WB0n+Wh2796QP7+VadLE09Mzabmvd999l7///tviRCLirlRoi4iISJZw9uxZxo0bB8CYMWPw8fGxOJH1Nh3dxNc7v8aGjQn3T7A6junrr2HHDsibF/r0sTpNmrVs2ZLWrVuTkJDAADdb91tE3IcKbREREckSJkyYwPnz56levTrPPPOM1XEsZxgGg34eBMAzNZ+hetHqFicCHA4YNcrc7tsX8uWzNM7tmjJlCna7nSVLlvDLL79YHUdE3JAKbREREcn0Dh8+zNtvvw2Yax5nxyni//Xj/h/59dCveNu9Gd3cTZ4nXrgQdu0yC+x/lsvKjCpXrkz37t0B6NOnDw6Hw+JEIuJuVGiLiIhIpjds2DDi4uK47777aNWqldVxLONwOlh1aBVzt8+lx7IeAPSo34NS+UpZnAxzNDuxgVi/fubU8Uxs5MiR5MuXjz///JNZs2ZZHUdE3IwKbREREcnUtm7dypw5cwCYPHmye3TVtkDorlBKzyjNvbPvpXNoZ/af248NGzWK1rA6mmnBAti921zKq2dPq9PcsYIFCzJ8+HAAhg4dyoULFyxOJCLuRIW2iIiIZGqDBg3CMAw6duxI3bp1rY5jidBdobRb2I7ImMhk+w0Mnv/ueUJ3hVqU7B8JCclHs/38rM3jIj169KB8+fKcOHGCiRMnWh1HRNyIzTAMw+oQaRUTE0PevHmJjo7GL4v8h1pERETS7qeffqJly5Z4eXmxZ88eypQpY3WkDOdwOig9o/R1RXYiGzYC/QI52Osgdg+Lnl3/4gvo0gUKFoSDByFPHmtypIPvvvuOtm3bkiNHDvbs2UOpUm4wTV9E0kVa6lCNaIuIiEim5HQ6GTTI7Krdo0ePbFlkA4QdCbthkQ3mqHZETARhR8IyMNU1EhJgzBhze8CALFVkAzz66KPce++9XL16lZCQEKvjiIibUKEtIiIimdL8+fP5448/8PPz44033rA6jmWiLkS59DiXmzMH9u2DQoWgRw9rMqQjm83GtGnTsNlsLFiwgPDwcKsjiYgbUKEtIiIimc6VK1eSiuuQkBAKFSpkcSLrBOQJcOlxLhUf/+9o9sCBkDt3xmfIALVq1eL5558HzOW+nE6nxYlExGoqtEVERCTTef/99zl8+DDFixenVyZej9kVgkoGEegXeMP3bdgo4VeCoJJBGZjqH19+CQcOQJEi8OqrGX/9DDRmzBh8fX3ZsGEDCxYssDpO1uFwwKpVMH+++TGrr1me3e4Xsuw9q9AWERGRTOXcuXOMHTsWgNGjR5MrVy6LE1nL7mHnrZZvpfieDXOps+mtpmd8I7T/jmb7+mbs9TNYQEAAgwcPBsxZFrGxsRYnygJCQ6F0abj3Xnj6afNj6dLm/qwou90vZOl7VqEtIiIimcrEiRM5d+4cVatWpUuXLlbHcQseHuaPdImFdaJAv0AWdVhEcOXgjA/1+edw6BAULQrdu2f89S3Qt29fSpYsSUREBNOmTbM6TuYWGgrt2kHkfxr9HT1q7s8ChVgy2e1+Icvfs5b3EhERkUzjyJEjVKhQgatXr7J06VLatGljdSTLGYZBw08asunYJgbfPZiWd7Uk6kIUAXkCCCoZZM2SXnFxUL48HDkCb70FvXtnfAaLzJ8/n6effhpfX1/+/vtvihUrZnWkzMfhMEc1/1uAJbLZoHhx2LED7BYtWedKDgdUqWIWmCnJavcLqbvnwEBzOUA3uue01KEqtEVERCTTeO6555g9ezbNmzfnl19+wWaz3fqLsrhfDv7C/V/cT07PnBzufZgivkWsjgQffQSvvAIBAbB/P/j4WJ0owxiGQZMmTVi/fj1du3bls88+szpS5rNqlTmFWOTXX6F5c6tTJNE62iIiIpLlbNu2jS+++AKAyZMnq8j+x8Q1EwF4ofYL7lFkX70K48aZ2yEh2arIBnO5r7feMp+Z//zzz9myZYvFiTKhKIuWohP3k4n/LnhaHUBEREQkNUJCQjAMgyeffJL69etbHcctbInawk8HfsJus9OvcT+r45g++wwiIqBYMejWzeo0lmjUqBEdO3Zk/vz59O3bl19//VW/GEqLgFQuRbdsGTRrlr5ZMsLq1dC69a2Pyyr3C6m/59T+XXBDmjouIiIibm/lypW0aNECLy8vdu3axV133WV1JLfw5KInWbhjIZ2qd2JO8Byr48CVK+az2ZGR8M478NprVieyzJEjR6hYsSJXrlwhNDSUxx9/3OpImUfiM9pHj0JKpYqbPr9727Lb/UKmvWdNHRcREZEsw+l0MnDgQAC6d++uIvsfe8/sZdHORQAMajrI4jT/+OQTs8guXhxefNHqNJYqWbIk/fqZswwGDBjA1atXLU6UidjtMGOGuf3fmQCJn0+f7lYF2B3JbvcL2eKeVWiLiIiIW1uwYAFbtmwhT548DB061Oo4bmPKuik4DSdtyrehetHqVscxR7MnTDC333gDcua0No8bCAkJwd/fn/379/Puu+9aHSdzCQ6GRYvMX9pcKzDQ3B9swZJ16Sm73S9k+XvW1HERERFxW1evXqVSpUocOnSIcePGMWTIEKsjuYWoC1GUnlGaOEccYV3DuLvk3VZHgrffhl69oEQJ2LsXcuSwOpFb+Oyzz3jhhRfImzcve/fupXDhwlZHylwcDggLM5tiBQRAUFCmHuW8pex2v5Cp7jndpo6PHDkSm82W7FWpUqWk969cuUKPHj0oWLAguXPn5oknnuDEiRPJznHkyBHatGlDrly5KFKkCAMGDCAhISEtMURERCSbeP/99zl06BDFihWjdzZai/lWpq+fTpwjjqYlmrpHkX35cvLRbBXZSbp06UKtWrWIjo5m5MiRVsfJfOx2c3mnjh3Nj25agLlMdrtfyLL3nOap41WrViUqKirptWbNmqT3+vTpw/fff8/XX3/Nb7/9xrFjxwi+Zsjf4XDQpk0b4uLiWLduHbNnz+bzzz9n+PDhrrkbERERyTLOnz/P2LFjARg9ejS5cuWyOJF7OH/lPB/8/gEAIXeHWJzmHx99BMePQ6lS0LWr1Wncit1uT1ru66OPPmLnzp0WJxKRjJDmQtvT0xN/f/+kV6FChQCIjo7m008/Zdq0adx3333UrVuXWbNmsW7dOtavXw/Ajz/+yM6dO5kzZw61atXioYceYsyYMbz33nvExcW59s5EREQkU5s4cSJnz56lSpUqdOnSxeo4buODTR9wIe4C1YpUo3X5VCyPk95iY2GiuZY3b7wB3t7W5nFDzZs3p23btjgcDvr37291HBHJAGkutPfu3UuxYsUoW7YsnTp14siRIwBs3ryZ+Ph4WrRokXRspUqVKFmyJOHh4QCEh4dTvXp1ihYtmnTMgw8+SExMDDt27LjhNa9evUpMTEyyl4iIiGRdERERzPinI+2kSZPw9PS0OJF7uBx/mekbpgNmp3EPmxv0tf3gAzhxwlyq57nnrE7jtt588028vLz44YcfWLFihdVxRCSdpem/zg0bNuTzzz9n+fLlfPDBBxw8eJCgoCAuXLjA8ePH8fb2Jl++fMm+pmjRohw/fhyA48ePJyuyE99PfO9GJkyYQN68eZNeJUqUSEtsERERyWSGDx/OlStXaNasGW3atLE6jtv4fOvnnLx0klJ5S/Fk1SetjgOXLsGkSeb2sGHg5WVtHjdWrlw5Xn/9dQD69u2rHkUiWVyaCu2HHnqI9u3bU6NGDR588EGWLVvG+fPnWbhwYXrlA2Dw4MFER0cnvSIiItL1eiIiImKd7du3M3v2bMAcBbT9d43VbCrBmcCb694EoH+T/njZ3aCoff99OHUKypaFZ56xOo3bGzp0KAULFmTnzp3MnDnT6jgiko7uaL5Rvnz5qFChAvv27cPf35+4uDjOnz+f7JgTJ07g7+8PgL+//3VdyBM/TzwmJTly5MDPzy/ZS0RERLKmQYMGYRgG7du3p0GDBlbHcRtf7/iag+cPUihXIZ6v/bzVceDiRZg82dzWaHaq5M+fP6nz+PDhw6/7uVlEso47KrQvXrzI/v37CQgIoG7dunh5ebFy5cqk9/fs2cORI0do3LgxAI0bN2b79u2cPHky6ZiffvoJPz8/qlSpcidRREREJAv45Zdf+OGHH/D09GT8+PFWx3EbhmEwca3ZcKxXw17k8nKDDuzvvQenT0O5ctC5s9VpMo2XX36ZSpUqcfr0acaNG2d1HBFJJ2kqtPv3789vv/3GoUOHWLduHY8//jh2u52OHTuSN29eXnjhBfr27cuvv/7K5s2b6dq1K40bN6ZRo0YAtGzZkipVqvDMM8+wbds2VqxYwdChQ+nRowc5tN6iiIhItuZ0Ohk4cCAAr7zyCuXKlbM4kftYvm85f574k9zeuelRv4fVceDCBXjTnMbOsGGgZnWp5uXlxdSpUwGYMWMG+/fvtziRiKSHNBXakZGRdOzYkYoVK9KhQwcKFizI+vXrKVy4MABvvfUWDz/8ME888QTNmjXD39+f0NDQpK+32+0sXboUu91O48aN6dy5M88++yyjR4927V2JiIhIprNw4UI2b95Mnjx5GDZsmNVx3EriaPbLdV8mv09+i9MA77wDZ85A+fLw9NNWp8l0HnroIVq2bEl8fHzSL5dEJGuxGYZhWB0irWJiYsibNy/R0dF6XltERCQLuHr1KpUrV+bgwYOMGTOGoUOHWh3JbayLWEfTz5ri5eHFwV4HKe5X3NpAMTHmUl7nzsGcOdCpk7V5Mqm//vqLmjVr4nQ6WbVqFffcc4/VkUTkFtJSh7rB4osiIiKS3X344YccPHiQgIAA+vTpY3UctzJprbl81rM1n7W+yAZ4+22zyK5UCZ56yuo0mVa1atXo1q0bYC735XQ6LU4kIq6kQltEREQsFR0dzZgxYwAYNWoUvr6+FidyHztO7mDJniXYsDGgyQCr40B0NPzzfDHDh4Pdbm2eTG706NH4+fmxZcsWvvjiC6vjiIgLqdAWERERS02aNIkzZ85QuXJlunbtanUctzJ5nbl8VnDlYCoWqmhxGmDGDDh/HipXhg4drE6T6RUuXDjpMYkhQ4Zw8eJFixOJiKuo0BYRERHLREZG8tZbbwEwceJEPNW9Osnh84eZt30eAIOaDrI4DWaBPW2auT1ihEazXaRnz56ULVuWqKgoJieuSy4imZ4KbREREbHMiBEjuHLlCkFBQTzyyCNWx3Er08KnkeBM4L4y91G/eH2r48D06ebU8apVoX17q9NkGTly5EgqsKdMmUJERITFiUTEFVRoi4iIiCX++usvPv/8cwAmT56MzWazNpAbOR17mplbZgIQ0jTE4jSYzc/+mXnAyJHgoR8hXSk4OJhmzZpx+fJlBg8ebHUcEXEB/VdSRERELBESEoLT6aRdu3Y0atTI6jhu5Z0N73A54TJ1AurQomwLq+OYU8ZjYqBGDQgOtjpNlmOz2Zg2bRo2m425c+eyceNGqyO5DYfTwapDq5i/fT6rDq3C4XRYHSldZbf7hax7z1pHW0RERDLcqlWruPfee/H09GTnzp2UL1/e6khu42LcRUq+VZJzV86xsN1C2le1eJr22bPmutkXLsDixSq009Fzzz3H7Nmzadq0KWFhYdl+lkforlB6Le9FZExk0r5Av0BmtJpBcOWs9/cwu90vZL571jraIiIi4racTicDBphLVXXr1k1F9n/M3DyTc1fOUa5AOff4QXPqVLPIrlkT2ra1Ok2WNm7cOHLlysXatWv5+uuvrY5jqdBdobRb2C5ZAQZwNOYo7Ra2I3RXqEXJ0kd2u1/I+vesEW0RERHJUF999RVPPfUUuXPnZt++fRQtWtTqSG4jzhFH2RllOXrhKB8//DEv1X3J2kCnT0OZMnDxInzzjQrtDDBq1ChGjhxJ6dKl2bVrFzlz5rQ6UoZzOB2UnlH6ugIskQ0bxfMUZ8erO7B7ZP7u9w6ngyrvV+HohaMpvp/V7hdSd8+BfoEc7HXQre45LXWo1tAQERGRDBMXF8eQIUMAGDBggIrs/5j751yOXjhKQO4Anq35rNVxzNHsixehdm147DGr02QL/fv3Z+bMmRw6dIjp06cTEuIGzfAyWNiRsBsW2QAGBpEXIsk7KW8GprJOdrtfMO85IiaCsCNhNC/d3Oo4t0VTx0VERCTDfPjhhxw4cAB/f3/69u1rdRy34jScTFo7CYA+jfqQwzOHtYFOnYJ33jG3R42CbP68cEbx9fVlwoQJAIwfP54TJ05YnCjjRV2IsjqCuInM/HdBI9oiIiKSIaKjoxkzZgwAI0eOJHfu3BYnci/f7f6OPWf2kDdHXl6u97LVceDNN+HSJahXDx5+2Oo02UqnTp14++23+f333xk2bBgff/yx1ZEyVECegFQdt+zpZTQr1Syd06S/1YdX03pe61sel1XuF1J/z6n9u+COVGiLiIhIhpg8eTKnT5+mYsWKvPDCC1bHcSuGYTBx7UQAetTvgV8Oi3vQnDwJ771nbo8cqdHsDObh4cFbb71FUFAQn376Ka+99ho1atSwOlaGCSoZRKBfIEdjjmJwfTupxOd3W97V0q2e371dLe9qma3uF1J/z0ElgyxI5xqaOi4iIiLp7ujRo7z11lsATJw4EU9P/a7/WqsOrWLj0Y3k9MxJz4Y9rY4DkydDbCw0aACtbz3qJK5399130759e5xOJ3379iUT9i++bXYPOzNazQDMgutaiZ9PbzU9yxSd2e1+IXvcswptERERSXcjRozg8uXLNG3alMfUVOs6iaPZz9d6nqK5LW4Qd/w4vP++ua3RbEtNmjQJb29vVq5cydKlS62Ok6GCKwezqMMiivsVT7Y/0C+QRR0WucfSdy6U3e4Xsv49a3kvERERSVc7duygRo0aOJ1O1q5dS5MmTayO5Fa2RG2h7sd1sdvs7H19L2Xyl7E2UN++8NZb0LAhhIer0LZYSEgIkyZNokKFCmzfvh1vb2+rI2Uoh9NB2JEwoi5EEZAngKCSQZl6lPNWstv9Qua657TUoSq0RUREJF098sgjLF26lODgYBYvXmx1HLfz5KInWbhjIU9Xf5q5wXOtDRMVBWXLwpUrsGIFtGxpbR4hJiaG8uXLc/LkSaZPn06vXr2sjiSSbaWlDtXUcREREUk3q1evZunSpdjtdsaPH291HLez98xeFu1cBMCgpoMsTgNMnGgW2U2awAMPWJ1GAD8/v6Ru/aNGjeLUqVOsWrWK+fPns2rVKhwOh8UJRSQl6kQiIiIi6cIwDAYMGABAt27dqFixosWJ3M+UdVNwGk5al29NjaIWd5U+ehQ++sjc1rrZbuWFF17g3XffZfv27ZQtW5aLFy8mvRcYGMiMGTMIDs7cz7OKZDUa0RYREZF0sWjRIjZu3Iivry8jRoywOo7biboQxefbPgcgpGmItWHAHM2+ehXuvhvuv9/qNHINu93O448/DpCsyAazo3+7du0IDQ21IpqI3IAKbREREXG5uLg4hgwZAsCAAQMoWtTiTtpuaPr66cQ54mhSogl3l7zb2jCRkfDxx+a2RrPdjsPh4LPPPkvxvcR2S71799Y0chE3okJbREREXO7jjz9m3759FC1alH79+lkdx+2cv3KeD37/ADBHs21WF7YTJkBcHDRrBvfea20WuU5YWBiRkZE3fN8wDCIiIggLC8vAVCJyMyq0RURExKViYmIYPXo0ACNHjiR37twWJ3I/H2z6gAtxF6hauCptKrSxNsyRIzBzprk9erRGs91QVFSUS48TkfSnQltERERc6s033+TUqVNUqFCBF154weo4budy/GWmb5gOmJ3GPWwW/zg2fjzEx5sj2ffcY20WSVFAQIBLjxOR9KdCW0RERFzm2LFjTJs2DYCJEyfi5eVlcSL38/nWzzl56SQl85bkqWpPWRvm8GFIfPZ31Chrs8gNBQUFERgYeMNHDGw2GyVKlCAoKCiDk4nIjajQFhEREZcZOXIksbGxNGnShLZt21odx+0kOBN4c92bAPRv3B8vu8W/iBg3zhzNvv9+UJHmtux2OzNmzAC4rthO/Hz69OnY7fYMzyYiKVOhLSIiIi6xa9cuPv30UwAmT55sfYMvN7Ro5yIOnj9IoVyFeKGOxdPqDx6EWbPMbY1mu73g4GAWLVpE8eLFk+0PDAxk0aJFWkdbxM14Wh1AREREsoaQkBCcTidt27aladOmVsdxO4ZhMHHNRAB6NuhJLq9c1gYaNw4SEuCBB0B/XplCcHAwjz32GGFhYURFRREQEEBQUJBGskXckM1IXHwvE4mJiSFv3rxER0fj5+dndRwREZFsLywsjGbNmmG32/nrr7+oVKmS1ZHczvJ9y3lo7kP4evlypM8RCvgUsC7M/v1QsSI4HLBuHTRubF0WEZFMIi11qKaOi4iIyB0xDIOBAwcC8OKLL6rIvoHE0eyX675sbZENMHasWWS3aqUiW0QkHajQFhERkTsSGhrK+vXr8fX1ZeTIkVbHcUvhEeH8dvg3vDy86NO4j7Vh9u2DL780t/VstohIulChLSIiIrctPj6ewYMHA9CvXz/8/f0tTuSeJq2dBMAzNZ4h0C/Q2jBjxpij2a1bQ4MG1mYREcmiVGiLiIjIbZs5cyZ79+6lSJEi9O/f3+o4bmnnqZ18t+c7bNgY0HSAtWH+/hvmzDG3NftARCTdqNAWERGR23LhwoWkqeIjRowgT5481gZyU5PXTgbg8cqPU6mQxc+vjxkDTic8/DDUr29tFhGRLEyFtoiIiNyWKVOmcOrUKcqXL89LL71kdRy3dCT6CHO3zwVgUNNB1obZvRvmzTO39Wy2iEi6UqEtIiIiaRYVFcWUKVMAmDBhAl5eXhYnck/TwqeR4EzgvjL30aC4xc9Djx5tjmY/9hjUqWNtFhGRLE6FtoiIiKTZqFGjiI2NpVGjRgQHB1sdxy2djj3NzC0zAQhpGmJtmJ07YcECc1vPZouIpDsV2iIiIpImu3fv5pNPPgHgzTffxGazWZzIPb278V1i42OpE1CHFmVbWBtm9GgwDHj8cahVy9osIiLZgAptERERSZPBgwfjcDh47LHHuPvuu62O45Yuxl3knY3vAOZotqW/jNixAxYuNLc1mi0ikiFUaIuIiEiqrV27lm+//RYPDw8mTJhgdRy39cmWTzh7+SzlCpQjuLLFU+tHjTJHs594AmrUsDaLiEg2oUJbREREUsUwDAYMMNeBfuGFF6hcubLFidxTnCOOqeFTARjYZCB2D7t1YbZvh6+/BptNo9kiIhlIhbaIiIikyjfffEN4eDi5cuVKWj9brjdv+zwiYyLxz+3PMzWfsTZM4p9T+/ZQrZqlUUREshMV2iIiInJL8fHxDB48GIC+fftSrFgxixO5J6fhZNLaSQD0adSHnJ45rQuzdSuEhpqj2SNGWJdDRCQbUqEtIiIit/TJJ5/w999/U7hw4aTp43K9JXuWsPv0bvLmyMsr9V6xNsyoUebHJ5+EKlWszSIiks14Wh1ARERE3NuFCxeSpooPHz4cPz8/awO5KcMwmLDGbBD3av1X8cthwffJ4YCwMAgPh2+/NfcNH57xOUREsjkV2iIiInJTU6dO5eTJk5QrV45u3bpZHcdt/Xb4NzYe3UgOew56NeyV8QFCQ6FXL4iM/HdfrlywaxeocZ2ISIbS1HERERG5oePHjzNlyhQAxo8fj7e3t8WJ3NfENRMBeL728xTNXTRjLx4aCu3aJS+yAS5fNveHhmZsHhGRbE6FtoiIiNzQqFGjuHTpEg0aNKBdu3ZWx3Fbf0T9wYr9K/CwedC/Sf+MvbjDYY5kG8b17yXu693bPE5ERDKECm0RERFJ0Z49e5g5cyYAb775JjabzeJE7iux0/iTVZ+kbP6yGXvxsLDrR7KvZRgQEWEeJyIiGUKFtoiIiKRo8ODBOBwOHnnkEZo1a2Z1HLe17+w+vt75NQCDmg7K+ABRUa49TkRE7pgKbREREbnOunXr+Oabb/Dw8GDixIlWx3FrU9ZNwWk4eajcQ9T0r5nxAQICXHuciIjcMRXaIiIikoxhGElrZT///PNU0RrMNxR1IYpZW2cBEHJ3iDUhgoIgMPDG79tsUKKEeZyIiGQIFdoiIiKSzHfffce6devw8fFh1KhRVsdxazM2zCDOEUfjwMYElbSokLXbYcKElN9LfK5++nTzOBERyRAqtEVERCRJQkICISHmyGzfvn0pVqyYxYncV/SVaD74/QPAHM22tFncyZPmR0/P5PsDA2HRIggOzvhMIiLZmOetDxEREZHs4tNPP2XPnj0UKlSIgQMHWh3HrX3w+wfEXI2hSuEqPFzhYeuCxMebI9YA778P5cubjc8CAszp4hrJFhHJcCq0RUREBICLFy8yYsQIAIYPH46fn5/FidzX5fjLTF8/HTA7jXvYLJwk+PXX5vJdRYrAM89AzpzWZREREUBTx0VEROQf06ZN48SJE9x11128/PLLVsdxa7O3zebEpROU8CtBx2odrQtiGDB1qrn9+usqskVE3IQKbREREeHEiRNMnjwZgPHjx+Pt7W1xIveV4EzgzXVvAtC/SX+87F7WhVm1CrZsAR8f6N7duhwiIpKMCm0RERFh9OjRXLp0ifr169O+fXur47i1RTsXceDcAQr6FOSF2i9YGyZxNLtrVyhY0NosIiKSRIW2iIhINvf333/z0UcfATB58mRru2e7OcMwmLhmIgA9G/bE19vXujC7dsH//mcu4dWnj3U5RETkOiq0RUREsrkhQ4bgcDho06YNzZs3tzqOW1uxfwXbTmzD18uXHvV7WBtm2jTzY9u2UK6cpVFERCQ5FdoiIiLZ2Pr161m8eDEeHh5MnDjR6jhuL3E0u1vdbhTMZeFU7ePH4YsvzO3+/a3LISIiKVKhLSIikk0ZhsGAAQMAeO6556hWrZrFidxbeEQ4vx3+DS8PL/o27mttmPfeg7g4aNQImjSxNouIiFxHhbaIiEg29f3337NmzRp8fHwYNWqU1XHc3qS1kwDoXKMzgX6B1gWJjYX33ze3NZotIuKWVGiLiIhkQwkJCQwaNAiA3r17ExhoYeGYCew8tZPv9nyHDRsDmgywNsznn8PZs1C2rPl8toiIuB0V2iIiItnQrFmz2L17NwULFkwquOXGJq811xhvW6ktlQtXti6IwwFvvWVu9+kDdrt1WURE5IY8rQ4gIiIiGcPhcBAWFsbBgweTiuthw4aRN29ei5O5tyPRR5i7fS4Ag5pa/EuJJUtg3z7In99cO1tERNySCm0REZFsIDQ0lF69ehEZGZm0z263ExAQYGGqzGFa+DQSnAncW/peGgY2tDbMlCnmx+7dwdfCNbxFROSmVGiLiIhkcaGhobRr1w7DMJLtdzgcPPXUU3h6ehIcHGxROvd2JvYMM7fMBCDk7hBrw4SHw7p14O0Nr71mbRYREbkpPaMtIiKShTkcDnr16nVdkX2t3r1743A4MjBV5vHuxneJjY+ltn9tHij7gLVhpk41P3bqBJqJICLi1lRoi4iIZGFhYWHJpov/l2EYREREEBYWloGpModLcZd4e+PbgDmabbPZrAuzfz9884253a+fdTlERCRVVGiLiIhkYVFRUS49Ljv5ZMsnnL18lrvy38UTlZ+wNsz06eB0QqtWULWqtVlEROSWVGiLiIhkYaltdqamaMnFOeKYGm5O1R7YdCB2DwuX0Tp7Fj77zNzu39+6HCIikmoqtEVERLKwoKAgAgMDbzjt2WazUaJECYKCgjI4mXubv30+ETER+Of259maz1ob5sMPITYWatWC++6zNouIiKSKCm0REZEszG63M2PGjBTfSyy+p0+fjt1u4Yitm3EaTiatnQRAn0Z9yOmZ07owV6/CO++Y2/36gZXPiYuISKqp0BYREcnigoOD+eqrr67bHxgYyKJFi7S01398v+d7dp3eRd4ceXml3ivWhpk3D44fh+LF4cknrc0iIiKppnW0RUREsoEqVaoAkDNnTj755BOKFy9OUFCQRrL/wzAMJqyZAMCr9V/FL4eflWH+XdKrVy/w8rIui4iIpIkKbRERkWzgjz/+AKBu3bp06tTJ4jTua/Xh1Ww4uoEc9hz0atjL2jArVsCOHZAnD3TrZm0WEYs4HBAWBlFR5vLxQUGQlX8/mN3uF7LuPavQFhERyQa2bt0KQO3ata0N4uYmrp0IwPO1n6do7qLWhpkyxfz40kuQN6+1WUQsEBpqTuaIjPx3X2AgzJgBWfGJl+x2v5C171nPaIuIiGQDiSPaKrRvbOvxrSzftxwPmwf9m1i8jNbWrbBypTms08vikXURC4SGQrt2yQswgKNHzf2hodbkSi/Z7X4h69+zRrRFRESyOMMwkgrtWrVqWRvGjSV2Gu9QtQNl85e1Nkzis9kdOkDJktZmEclgDof5+yXDuP49wzCb7/fqBS1aZI0pxg4H9OyZfe4XUnfPvXvDY49l3ntWoS0iIpLFRUREcO7cOTw9PalatarVcdzS/rP7WbhjIQCDmg6yNkxkJCxYYG7362dtFhELhIVdP8p5LcMw388uT1Rkt/sF854jIsy/C82bW53m9mjquIiISBaXOJpdpUoVcuTIYXEa9zRl3RSchpNW5VpRy7+WtWHefhsSEsyfLuvWtTaLiAWioqxOIO4iM/9d0Ii2iIhIFqdGaDd3/OJxZm2dBUBI0xBrw8TEwEcfmdsazZZsKiAgdcctWwbNmqVvloywejW0bn3r47LK/ULq7zm1fxfckQptERGRLE6N0G5uxvoZXHVcpVFgI5qVsvin2E8/NYvtSpVS91OoSBYUFGR2nj56NOVneG028/2WLTPv87vXatkye90vpP6eg4IyPpuraOq4iIhIFqdGaDcWfSWa939/HzBHs202m3Vh4uNh+nRzu18/8NCPaZI92e3m8k5gFlzXSvx8+vSsU3Rmt/uF7HHP+i+4iIhIFnb27FmOHDkCqNBOyYe/f0jM1RgqF6rMIxUfsTbMokVw5AgUKQKdO1ubRcRiwcHmP4nixZPvDww092f2NZb/K7vdL2T9e9bUcRERkSws8fnsMmXKkDc7taxNhSsJV3hr/VuA2Wncw2bh+INhwJQp5vZrr0HOnNZlEXETwcHm8k5hYWZTrIAAcypxZh7lvJnsdr+Qte9ZhbaIiEgWpkZoNzZ762xOXDpBCb8SdKze0dowv/0GW7aAjw90725tFhE3Yrdn3uWdbkd2u1/IuvesqeMiIiJZmBqhpSzBmcDkdZMB6Ne4H952b2sDTZ1qfnzuOShUyNIoIiJy51Roi4iIZGFqhJayxTsXc+DcAQr4FODFOi9aG2bXLli61OwA1KePtVlERMQlNHVcREQki7p8+TK7d+8GNKJ9LcMwmLh2IgA9G/TE19vX2kBvmc+J89hjUL68tVnE7TkcWfN5VpGsRoW2iIhIFvXXX3/hcDgoVKgQxYoVszqO2/hx/49sPb6VXF65eK3Ba9aGOXECvvjC3O7f39os4vZCQ6FXL4iM/HdfYKC5TFJm79AsktVo6riIiEgWdW0jNEvXh3YziaPZ3ep0o2CugtaGee89uHoVGjaEJk2szSJuLTQU2rVLXmQDHD1q7g8NtSaXiKTsjgrtiRMnYrPZ6N27d9K+48eP88wzz+Dv74+vry916tRh8eLFyb7u7NmzdOrUCT8/P/Lly8cLL7zAxYsX7ySKiIiI/IcaoV1vfeR6Vh1ahaeHJ30b97U2TGwsvP++ud2/v/mMtkgKHA5zJNswrn8vcV/v3uZxIuIebrvQ3rRpEx999BE1atRItv/ZZ59lz549LFmyhO3btxMcHEyHDh2S/mcP0KlTJ3bs2MFPP/3E0qVLWb16Nd26dbv9uxAREZHrqBHa9SatnQRA5xqdKZG3hLVhZs+GM2egTBl4/HFrs4hbCwu7fiT7WoYBERHmcSLiHm6r0L548SKdOnVi5syZ5M+fP9l769at4/XXX6dBgwaULVuWoUOHki9fPjZv3gzArl27WL58OZ988gkNGzbk7rvv5p133mHBggUcO3bszu9IREREcDgc/Pnnn4BGtBPtOrWLb3d/C8DAJgOtDeNw/NsErU8fdbOSm4qKcu1xIpL+bqvQ7tGjB23atKFFixbXvdekSRO++uorzp49i9PpZMGCBVy5coXm/6xCHh4eTr58+ahXr17S17Ro0QIPDw82bNiQ4vWuXr1KTExMspeIiIjc2N69e4mNjSVXrlyUVydrgKR1s9tWakvlwpWtDfP997B3L+TLB127WptF3F6RIqk7LiAgfXOISOqluev4ggUL2LJlC5s2bUrx/YULF/Lkk09SsGBBPD09yZUrF9988w3lypUDzGe4i/znvxaenp4UKFCA48ePp3jOCRMmMGrUqLRGFRERybYSG6HVqFEDu0ZLiYiOYM6fcwAY1HSQxWmAKVPMj927Q+7c1mYRtxYRAcOH3/wYm83sPh4UlDGZROTW0jSiHRERQa9evZg7dy45c+ZM8Zhhw4Zx/vx5fv75Z37//Xf69u1Lhw4d2L59+22HHDx4MNHR0UmviIiI2z6XiIhIdqBGaCaH08GqQ6vo9n03EpwJ3FPqHhoFNrI21Pr1sHYteHnB669bm0Xc2rJlULs2rFsHiT96/7dnXuLn06frCQQRd5KmEe3Nmzdz8uRJ6tSpk7TP4XCwevVq3n33Xfbs2cO7777LX3/9RdWqVQGoWbMmYWFhvPfee3z44Yf4+/tz8uTJZOdNSEjg7Nmz+Pv7p3jdHDlykCNHjrTem4iISLalRmgQuiuUXst7ERnzbxepHad2ELorlODKFi46PHWq+bFTJ831lRTFx8PQoTDZfNqBOnVg4ULYti3ldbSnT9c62iLuJk2F9v3333/dyHTXrl2pVKkSgwYNIjY2FgAPj+QD5Xa7HafTCUDjxo05f/48mzdvpm7dugD88ssvOJ1OGjZseNs3IiIiIibDMJKtoZ0dhe4Kpd3CdhgkXw/pTOwZ2i1sx6IOi6wptg8c+HfB4379Mv764vYiIuCpp8xRbDAnPbz5JuTIAXfdBY89ZnYXj4oyf08TFKSRbBF3lKZCO0+ePFSrVi3ZPl9fXwoWLEi1atWIj4+nXLlyvPzyy0yZMoWCBQvy7bffJi3jBVC5cmVatWrFSy+9xIcffkh8fDyvvfYaTz31FMWKFXPdnYmIiGRTx44d49SpU9jt9uv+v50dOJwOei3vdV2RDWBgYMNG7+W9eaziY9g9MrhCmT4dnE548EHIhn82cnNLl0KXLnD2LPj5wWefwRNPJD/Gbod/egyLiBu77XW0U+Ll5cWyZcsoXLgwjzzyCDVq1OCLL75g9uzZtG7dOum4uXPnUqlSJe6//35at27N3Xffzccff+zKKCIiItlW4mh2pUqV8PHxsTaMBcKOhCWbLv5fBgYRMRGEHcngRYfPnjUrJ4D+/TP22uLW4uNhwAB45BHzr0m9evDHH9cX2SKSeaS56/h/rVq1Ktnn5cuXZ/HixTf9mgIFCjBv3rw7vbSIiIikILs3Qou6kLrFhFN7nMt89BFcugQ1a8L992fstcVtHT5sThVfv978vGdP89lstScSydzuuNAWERER95LdG6EF5Eldg7HUHucSV6/C22+b2/36Xd86WrKl7783p4qfOwd585oTHtTUTCRrcOnUcREREbFedm+EFlQyiEC/QGykXMzasFHCrwRBJTNw0eH58+H4cSheHJ58MuOuK24pLs78fcujj5pFdv365lRxFdkiWYcKbRERkSwkOjqaAwcOANl3RNvuYWdGqxkpNkNLLL6nt5qecY3QDOPfJb169gRv74y5rrilw4ehWTOYNs38vHdvWLMGypSxNJaIuJgKbRERkSxk27ZtAJQsWZICBQpYnMY6wZWDebTCo9ftD/QLzPilvX78Ef76C3Lnhm7dMu664na++w5q1YINGyBfPvjmG3jrLf3uRSQr0jPaIiIiWUh2b4R2rdOXTwMQ0jSEGkVrEJAngKCSQRm/pNeUKebHF180qyvJduLiYNAgc3U3gAYN4KuvoHRpK1OJSHpSoS0iIpKFZPdGaIniHHFsPrYZgK61u1KhYAVrgmzbBj//bC5+3KuXNRnEUgcPmo/lb9pkft63L0yYoFFskaxOhbaIiEgWkt0boSXadnwbVx1XKeBTgPIFylsXJPHZ7PbtNXyZDX3zDXTtCtHRkD8/fP652QBNRLI+PaMtIiKSRVy9epUdO3YAGtEOjwwHoFFgI2xWLaUVGWl2GwezxbRkG3FxZpOz4GCzyG7UyOwqriJbJPtQoS0iIpJF7Ny5k4SEBPLnz0/JkiWtjmOp9ZHrAWhUvJF1Id55BxIS4J57oF4963JIhjpwAJo2hRkzzM/794fVq6FUKWtziUjG0tRxERGRLOLaRmiWjeK6iaRCO9CiQvvCBfjoI3Nbo9nZxuLF8PzzEBMDBQrA7Nnw8MNWpxIRK2hEW0REJItQIzTTiYsnOHj+IDZsNCjewJoQn35qzhmuWBHatLEmg2SYq1fh9dehXTuzyG7c2JwqriJbJPtSoS0iIpJFqBGaKXE0u0rhKuTNmTfjAyQkmIsjg9li2kM/bmVl+/ebU8Xffdf8fOBA+O03yOZPb4hke5o6LiIikgU4nc6kQju7j2hbPm180SI4cgQKF4ZnnrEmg2SIRYvghRfMUeyCBeGLL6B1a6tTiYg70K9YRUREsoADBw5w8eJFcubMSaVKlayOY6nEjuONAxtn/MUNA6ZMMbdfew18fDI+g6S7K1fMP9727c0iu2lTc6q4imwRSaRCW0REJAtIfD67evXqeHpm3wlrCc4ENh3bBFg0or16NWzeDDlzQvfuGX99SXf79kGTJvDee+bnISHw669QooS1uUTEvWTf/xOLiIhkIWqEZvrr5F/Exsfil8OPyoUrZ3yAqVPNj889Z04dlyzlq6/gpZfMpvIFC8KXX8JDD1mdSkTckUa0RUREsgA1QjOFR5jTxhsWb4iHLYN/zNm9G77/Hmw26NMnY68t6erKFXj1VXjqKbPIvvtu2LpVRbaI3JgKbRERkSxAI9qm9UctbISW2Gn80UehQoWMv76ki717zeW6PvjA/HzwYHOqeGCgtblExL1p6riIiEgmd/z4cY4fP47NZqNGjRpWx7GUZR3HT56E2bPN7f79M/bakm4WLDCnil+8CIUKwZw58OCDVqcSkcxAI9oiIiKZXOK08YoVK+Lr62ttGAudiT3D32f+Bsyp4xnqvffg6lVo0MBsQS2Z2uXL8Mor0LGjWWQ3a2ZOFVeRLSKppUJbREQkk9O0cdOGoxsAqFCwAgVzFcy4C8fGwvvvm9v9+5vPaEumtWcPNGoEH31k/lEOHQorV0Lx4lYnE5HMRFPHRUREMjk1QjNZNm38iy/g9GkoXRoefzxjry0uNW8evPyyOYpduLA5VbxlS6tTiUhmpBFtERGRTE4j2qbEQrtxYOOMu6jTCdOmmdt9+kA2XsM8M7t8Gbp1g06dzCK7eXNzqriKbBG5XSq0RUREMrELFy6wd+9eIHuPaDsNZ9LU8Qwd0f7+e7Mtdb588PzzGXddcZndu6FhQ5g505wqPnw4/PwzFCtmdTIRycz0a1cREZFM7M8//wSgePHiFC5c2OI01tl1ahcxV2Pw9fKlWpFqGXfhKVPMj6+8ArlzZ9x1xSXmzjWnil+6BEWKmJ+3aGF1KhHJCjSiLSIikolp2rgpcdp4/eL18fTIoHGEDRtgzRrw8oLXX8+Ya4pLxMbCiy9C585mkX3vveZUcRXZIuIqKrRFREQyMTVCM4VHhgPQqHgGThufOtX8+PTTmmeciezaZU4V//RTc6r4iBHw008QEGB1MhHJSjR1XEREJBPTiLYpwzuOHzwIixeb2/36Zcw15Y598QV0726OaBctak4Vv/9+q1OJSFakEW0REZFMKj4+nr/++gvI3iPa0Vei2XlqJ5CBhfb06WbH8ZYtoXr1jLmm3LbYWLNXXZcu5vb995tTxVVki0h6UaEtIiKSSe3atYu4uDj8/PwoU6aM1XEss/HoRgwMyuQrQ9HcRdP/gufOmfOOAfr3T//ryR3ZuRMaNIBZs8DDA0aPhhUrwN/f6mQikpVp6riIiEgmde20cZvNZnEa62T4tPGPPjI7aNWooe5Zbm72bHj1VXMU298f5s0zG5+JiKQ3jWiLiIhkUmqEZlp/NAML7bg4ePttc7tfP7OblridS5fguefMV2ys+fuQrVtVZItIxtGItoiISCalRmhgGEbSiHbjwMbpf8H58yEqyuwy/tRT6X89uSmHA8LCzD+SgAAICoLdu6F9e7O7uIcHjBoFgweD3W51WhHJTlRoi4iIZEKGYWhEG9h7di9nL58lhz0HNf1rpu/FDOPfJb169gRv7/S9ntxUaCj06gWRkf/uy5/fHM2OizML7/nz4Z57rMsoItmXCm0REZFM6NChQ0RHR+Pt7U3lypWtjmOZxNHsusXq4m1P58L3p59g+3bInRtefjl9ryU3FRoK7dqZv/u41rlz5seaNeHHH6FIkYzPJiICekZbREQkU0qcNl61alW8s/HIanhEOJBB08anTDE/vvAC5MuX/teTFDkc5kj2f4vsa509CwULZlwmEZH/UqEtIiKSCWnauCnDGqH9+ac5ou3hAb17p++15KbCwpJPF09JRIR5nIiIVVRoi4iIZEJqhAaX4i7x54k/gQwotBOfzW7XDkqXTt9ryU1FRbn2OBGR9KBCW0REJBNKLLSz84j2pmObcBpOAv0CCfQLTL8LHT1qLsAM0L9/+l1HUiUgwLXHiYikBxXaIiIimcypU6c4evQoADVrpnOnbTeW2Agt3Uez33kHEhKgWTOoXz99ryW3FBQEfn43ft9mgxIlzONERKyiQltERCSTSXw+u1y5cuTJk8faMBZKKrSLp2OhfeECfPihud2vX/pdR1Lt228hJibl92w28+P06Vo3W0SspUJbREQkk1EjNHMd8fDIfzqOl0jHjuOffQbR0VChAjz8cPpdR1Lljz/g2WfN7YcfhsD/PDEQGAiLFkFwcMZnExG5ltbRFhERyWT0fDYcOn+Ik5dO4uXhRW3/dPo+JCTAW2+Z2337mh3HxTInTsBjj0FsLDz4IHzzjTmCHRZmNj4LCDCni2skW0TcgQptERGRTEYdx/+dNl7LvxY+Xj7pc5HFi+HwYShU6N9hVLHE1avw+OPmsl0VK8KCBeD5z0+xzZtbGk1EJEX61ayIiEgmcunSJfbs2QNk7xHtxEK7cWA6TRs3jH+X9HrtNfBJp2Jebskw4OWXITwc8uWDJUvMjyIi7kyFtoiISCayfft2DMOgaNGi+Pv7Wx3HMonPZ6dbx/GwMNi0CXLmhFdfTZ9rSKpMmwazZ5tTwhcuNB+XFxFxdyq0RUREMhE1QoPL8Zf547g5fT7dCu3E0ewuXaBw4fS5htzSsmUwcKC5PW0aPPCAtXlERFJLhbaIiEgmokZo8MfxP0hwJlDUtyil85V2/QX27DHnJwP06eP680uq7NoFHTuC0wkvvQSvv251IhGR1FOhLSIikomoERqER/w7bdyWuHCyKyV2Gn/0UbPzlmS4M2fgkUfM9bKbNYN33/13jWwRkcxAhbaIiEgmkZCQwPbt24HsPaK9/qjZCC1dpo2fPGk+EAzQr5/rzy+3FB8PHTrA/v1QurS5Lra3t9WpRETSRoW2iIhIJrFnzx6uXLlC7ty5ueuuu6yOY5l07Tj+/vtw5QrUr28uyiwZrk8f+OUXyJ3bnMGvR+RFJDNSoS0iIpJJJDZCq1mzJh4e2fN/4ZExkUTGROJh86BesXquPfnly/Dee+Z2//6aq2yBDz80/whsNpgzB6pXtzqRiMjtyZ7/lxYREcmE1Ajt39HsGkVr4Ovt69qTf/EFnD4NpUpBcLBrzy23tGrVvw3Pxo2Dxx6zNI6IyB1RoS0iIpJJqBFaOk4bdzrN9aPAnLvs6ena88tNHTgATzwBCQnw9NMQEmJ1IhGRO6NCW0REJBMwDENraAPhkf92HHeppUvh778hb154/nnXnltuKibGbPB+9qz5aPwnn2jWvohkfiq0RUREMoGIiAjOnj2Lp6cnVatWtTqOJeIccWw+thlIh0J76lTz4yuvQJ48rj233JDDAZ06wY4dUKwYfPst+PhYnUpE5M6p0BYREckEEkezq1SpQo4cOawNY5Ftx7dx1XGVAj4FKF+gvOtOvHEjrF5tThdPfEhYMsQbb5iTCXLmNIvsYsWsTiQi4hoqtEVERDIBNUJLPm3c5sq5xYmj2U8/DcWLu+68clNffgmTJpnbn31mThsXEckqVGiLiIhkAmqE9m8jtEbFXTht/NAhWLTI3O7Xz3XnlZvasAFeesncHjIEOna0No+IiKup0BYREckE1Ajtmo7jJVzYcXz6dLPj+AMPQI0arjuv3FBkJLRtC1evmkt4jRljdSIREddToS0iIuLmzp49y+HDhwGoWbOmxWmsceLiCQ6eP4gNG/WLuWiO8blzZotrgP79XXNOuanYWLO4Pn4cqleHOXPAQz+NikgWpP+0iYiIuLlt27YBUKZMGfLly2dtGIskjmZXKVyFvDnzuuakH38Mly6ZFd8DD7jmnHJDhgFdu8KWLVCoECxZArlzW51KRCR9qNAWERFxc2qEds208UAXTRuPi4O33za3+/XTws0ZYOxYWLgQvLxg8WIoXdrqRCIi6UeFtoiIiJtTI7TkHcddYsECOHYMAgLUiSsDhIbC8OHm9vvvQ7Nm1uYREUlvKrRFRETcXHZvhJbgTGDTsU2Aiwptw4ApU8ztnj3B2/vOzyk3tHUrPPOMud2rF7z4oqVxREQyhAptERERN3b58mV27doFZN8R7b9O/kVsfCx+OfyoXLjynZ/w559h+3bw9YWXX77z88kNnTxpNj+LjTUfg0/8/YaISFanQltERMSN7dixA4fDQaFChShevLjVcSwRHmFOG29YvCEeNhf86JJY7b3wAuTPf+fnkxRdvQrBwXDkCFSoAF99BZ6eVqcSEckYKrRFRETc2LWN0GzZtGHX+qNmIzSXTBv/80/48UdzTaneve/8fJIiw4Du3WHtWsib1+wwrt9piEh2okJbRETEjakRmos7jk+bZn584gkoU+bOzycpmj4dZs0yf5+xcCFUrGh1IhGRjKVCW0RExI1l90ZoZ2LP8PeZvwFoULzBnZ3s2DGYN8/c7tfvDpPJjSxfDv37m9vTpkHLltbmERGxggptERERN+VwONi2bRuQfUe0NxzdAECFghUomKvgnZ3snXcgPh6CgqBhQxekk//avRuefBKcTvMR+J49rU4kImINFdoiIiJuat++fcTGxpIrVy4qVKhgdRxLJE4bv+Pnsy9ehA8/NLc1mp0uzp6FRx6BmBi4+25zvexs2lZARAT1fhQREXFTic9n16hRA7vdbnEaa9zx89kOB4SFmQ8Mnz8P5cqZ1aC4VEKCOZK9bx+UKgWLF2t5chHJ3jSiLSIi4qayeyM0p+FMmjp+WyPaoaFQujTcey988YW57/Rp+PZbl2UUU9++5vLkvr5mh/EiRaxOJCJiLRXaIiIibiq7N0LbdWoXMVdj8PXypVqRamn74tBQaNcOIiOT74+ONveHhrouaDb38cfm4+8Ac+ZAjRrW5hERcQcqtEVERNyQYRjZfkQ7cdp4/eL18fRIw9NuDgf06mUu5vxfift69zaPkzvy22/Qo4e5PXYstG1raRwREbehQltERMQNRUVFcerUKex2O9WrV7c6jiXCI8MBaFQ8jdPGw8KuH8m+lmFARIR5nNy2gwfN5cgTEuCpp2DIEKsTiYi4DxXaIiIibihxNLtSpUr4+PhYnMYat91xPCrKtcfJdS5cgEcfhTNnoF49+OwzdRgXEbmWCm0RERE3lN2njUdfiWbnqZ3AbRTaAQGuPU6ScTqhc2f46y/zW/jtt5BNfxckInJDKrRFRETcUHZvhLbx6EYMDMrkK0PR3EXT9sVBQRAYeOP3bTYoUcI8TtJs6FCzs3iOHGaRXby41YlERNyPCm0RERE3lN1HtG972jiA3Q4zZqT8XuL85unTzeMkTebOhQkTzO3PPoMGDazNIyLirlRoi4iIuJno6GgOHDgAZN8R7fVHzUK7cWDj2ztB48YpPzQcGAiLFkFw8B2ky542boQXXjC3Bw+Gp5+2No+IiDtLw1oZIiIikhG2bdsGQMmSJSlQoIDFaTKeYRh3NqINMH++2V28USNzCDYqynygOChII9m34ehRc+muq1fNJmhjx1qdSETEvanQFhERcTPZfdr43rN7OXv5LDk9c1LTv+btnWTOHPPjM89A8+Yuy5YdXb5sFtlRUVCtmvmt9dCcSBGRm9J/JkVERNxMdm+EljiaXTegLt5277SfYMcO+OMP8PSEJ590cbrsxTDg+efh99+hYEGzCVqePFanEhFxfyq0RURE3Ex2H9EOjwgH7mDaeOJoduvWZnUot238eFiwwPydxeLFUKaM1YlERDIHFdoiIiJuJC4ujp07zfWjs+2I9tE7eD7b6TRbY4M5bVxu27ffmkt5Abz/Ptxzj6VxREQyFRXaIiIibmTHjh3Ex8eTP39+SpYsaXWcDHcp7hJ/nvgTuM2O46tXQ0QE+PnBww+7OF328eef0Lmzuf366/DSS9bmERHJbFRoi4iIuJFrp43bUlqeKovbdGwTTsNJoF8gxf2Kp/0EidPG27eHnDldGy6bOHnS7Cx+6RK0aAHTplmdSEQk81GhLSIi4kbUCO0Opo1fvgxff21ua9r4bYmLgyeegMOHoXx5WLjQfD5bRETSRoW2iIiIG8nujdASC+3bmja+dCnExEDJkuZ62ZImhgGvvgpr1kDevGaH8fz5rU4lIpI5qdAWERFxE06nM1uPaBuGQXjkHXQcT5w23qmTFnq+DW+/DZ9+an7rFiyASpWsTiQiknnp/0IiIiJu4sCBA1y8eJEcOXJQKRtWOYfOH+LkpZN4eXhRJ6BO2r749GlYtszcTuziJan244/Qt6+5PWUKtGplbR4RkcxOhbaIiIibSJw2Xr16dTyz4YOxidPGawfUJqdnGhuZLVwICQlQpw5UqZIO6bKuPXugQwdzZbSuXaF3b6sTiYhkfiq0RURE3ER2njYO1zRCK34b08a//NL8qNHsNDl3zuwwHh0NTZvCBx9ANmx2LyLicndUaE+cOBGbzUbv//zqMzw8nPvuuw9fX1/8/Pxo1qwZly9fTnr/7NmzdOrUCT8/P/Lly8cLL7zAxYsX7ySKiIhIppfdG6Hd9vPZ+/bB+vXmw8UdO6ZDsqwpIQGefBL+/tvsHxcaCjlyWJ1KRCRruO1Ce9OmTXz00UfUqFEj2f7w8HBatWpFy5Yt2bhxI5s2beK1117D45qmJJ06dWLHjh389NNPLF26lNWrV9OtW7fbvwsREZEsILHQzo4j2pfjL/PHcfP+G5dIY8fxxCZoDzwA/v4uTpZ19e8PP/0EuXKZHcaLFLE6kYhI1nFbD4BdvHiRTp06MXPmTMaOHZvsvT59+tCzZ09CQkKS9lWsWDFpe9euXSxfvpxNmzZRr149AN555x1at27NlClTKFas2O1EEhERydSOHz/O8ePHsdls1/0SOzv44/gfJDgTKOpblFJ5S6X+Cw3j30Jb08ZT7ZNPYMYMc3vOHKhZ09o8IiJZzW2NaPfo0YM2bdrQokWLZPtPnjzJhg0bKFKkCE2aNKFo0aLcc889rFmzJumY8PBw8uXLl1RkA7Ro0QIPDw82bNiQ4vWuXr1KTExMspeIiEhWkvh8doUKFfD19bU2jAXCI/6dNm5Ly0PC69fD/v3g6wuPP55O6bKWsDBzvWyA0aP1bRMRSQ9pLrQXLFjAli1bmDBhwnXvHThwAICRI0fy0ksvsXz5curUqcP999/P3r17AfM39kX+MzfJ09OTAgUKcPz48RSvOWHCBPLmzZv0KlGiRFpji4iIuLVs3wjtqNkIrXHgbU4bf/xxs9iWmzp0CIKDIT7efD576FCrE4mIZE1pKrQjIiLo1asXc+fOJWfO65fdcDqdALz88st07dqV2rVr89Zbb1GxYkU+++yz2w45ePBgoqOjk14RERG3fS4RERF3lN0boSV1HE9LI7S4OPjqK3P7mWf+z959x1Vd/Q8cf10uS1AcuFBQ3Htvi8S9FyGCu3KVprTXT9OmjW+paamZaSo4EM0096QcKS7cWwERN8iGe8/vj+NFVETAOxjn2YMHd3zGuXCl+/6c93m/TTCqgiUuTlYYv3ULmjWDBQtUhXFFURRTydEa7dDQUG7cuEHTpk3TH9PpdOzevZtZs2Zx5swZAOo+1r+yTp06XL16FYDy5ctz48aNR55PS0vjzp07lH9KARM7OzvsVBlMRVEUpQArzIXQImIjiIiNQKvR0rxC82fvYLBxI9y+LQugdehgugEWAHq9XMIeFiZ/XGvWyCJoiqIoimnkaEa7Y8eOhIWFceTIkfSv5s2bM3jwYI4cOULVqlWpUKFCesBtcPbsWSpXloVN2rRpw7179wgNDU1/fvv27ej1elq1amWEl6QoiqIo+cv9+/c5f/48UDhntA2z2Q3LNcTRNgfp34a08UGDwDpX9V0LjcmT4c8/ZfuuNWvA1dXSI1IURSnYcvR/pWLFilG/fv1HHnN0dMTZ2Tn98ffee49PP/2URo0a0bhxYxYtWsTp06cJCgoC5Ox2t27dGDVqFHPmzCE1NZXx48fj6+urKo4riqIohdKxY8cQQlChQoUn6pgUBrlKG793T/akAlVt/BkCA+HLL+Xt+fNBzWsoiqKYntEv//r7+5OUlMRbb73FnTt3aNSoEVu2bKFatWrp2yxdupTx48fTsWNHrKysePnll5k5c6axh6IoiqIo+UJhL4S2N+JhxfFsW7UKkpOhbl0ohFkA2XXgALz6qrz9wQfqmoSiKIq5PHegvXPnzice+/DDDx/po/24UqVKERAQ8LynVhRFUZQCoTAXQkvRpRB6TS4ny1HF8cWL5fehQ1VFrwx0Otm+KyoKbGxgwgRISoJevR7OaiuKoiimpxY0KYqiKIqFFeZCaEevHyVZl0ypIqWoXqp69na6ehV27ZK3Bw0y3eDymeBgmDgRIiIefdzNDZYuBa3WMuNSFEUpjHLcR1tRFEVRFONJTU3l+PHjQOEMtDOmjWuyOzNtyIrz9IRKlUwzsHwmOBi8vZ8MskE+tnWr+cekKIpSmKlAW1EURVEs6NSpU6SkpODk5IS7u7ulh2N2hkJo2U4bF+Jh2rhacAzIdPGJE+WP5mn8/eV2iqIoinmoQFtRFEVRLMhQCK1x48ZYWRW+/y3nuOL4kSNw8qTsU+XtbbqB5SMhIZnPZBsIAeHhcjtFURTFPArf/9EVRVEUJQ8pzIXQouOiuXTvEho0tKjQIns7GWaz+/SB4sVNN7h8JCrKuNspiqIoz08F2oqiKIpiQYW5EJphNrtumboUt89G0JyWJptCg0obz8DFxbjbKYqiKM9PVR1XFEVRFAsRQhTqHto5Xp+9bRtcvw7OztCtmwlHlr88q4acRgOuruDhYZ7xKIqiKGpGW1EURVEs5vLly8TExGBjY0OdOnUsPRyzy1hxPFuWLJHfBw4EW1sTjSp/CQ2VWfQGjwfdhvvTp6v2XoqiKOakAm1FUZSn0Ol07Ny5k8DAQHbu3IlOlexVjMwwm12/fn1sC1ngmKZP48C1A0A2A+24ONnDCmDoUBOOLP84cQK6doXYWNnpLCAAKlZ8dBtXVwgKAi8viwxRURSl0FKp44qiKJkIDg5m4sSJRGQo5evq6sqMGTPwUp9YFSMpzIXQjt84TkJqAk52TtQpk43Z/DVrICEBqleHVq1MPr687sIF6NwZbt+Gli1h7VooVgx8fGR18agouSbbw0PNZCuKoliCCrQVRVEeExwcjLe3N+KxprSRkZF4e3sTFBSkgm3FKApzIbS94TJtvFXFVlhpspFgZ0gbHzLk2YuSC7iICOjUSQbTDRrAhg0yyAYZVHt6WnR4iqIoCip1XFFyTaUVF0w6nY6JEyc+EWQD6Y/5+/ur37diFIW6EFpkDvpnR0XBli3y9uDBJhxV3nfjhpzJvnwZatSAzZuhVClLj0pRFEV5nAq0FSUXgoODcXd3p3379gwaNIj27dvj7u5OsGH9YAGk0+vYeXkngWGB7Ly8E52+YAaaISEhj6SLP04IQXh4OCEhIWYclVIQ3bp1K/291rBhQwuPxvxyVHF82TLQ66FNG5k6XkjduyfXZJ8+DZUqwdatUL68pUelKIqiZEaljitKDhXGtOLgU8FM3DiRiNgM65WdXJnRbQZedQrWa42KijLqdoryNIbZ7OrVq+Pk5GTZwZjZ7YTbnL19FoCWFVs+e4fFi+X3Qtw7Oy4OevSAI0egXDkZZFeqZOlRKYqiKE+jZrQVJQcKY1px8KlgvFd4PxJkA0TGRuK9wpvgUwVrFt/FxcWo2ynK0xTmQmj7I/cDUNO5Js4OzllvfOIEHD4M1tay0lchlJQE/frB3r1QsqTMoq9Rw9KjUhRFUbKiAm1FyYbY2FhOnz7N9OnTC1VasU6vY+LGiQgyubDw4DH/jf4FKo3cw8MDV1dXNE8ptqTRaHBzc8PDw8PMI1MKmsJcCC1HaeOGImg9ekDp0iYcVd6Umirbhm/bBkWLwsaNsgCaoiiKkrep1HGlUEtLS+P69etERkY+8nXt2rVH7sfFxeXouAUlrTjkasgTM9kZCQThseGEXA3B093TfAMzIa1Wy4wZM3j55ZczfV4IwQ8//IBW9ctRnlOhLoQWkc1CaHo9LF0qbxfCtHGdDkaMkK277O3hr79kKy9FURQl71OBtlIgCSGIiYnJMniOjIwkOjo60zTwzDg5OVGiRAmuXr36zG3zY1pxii6Fc7fPcerWKU7fOs2pW6f49+q/2do36n7BuLBg4OXlRbNmzQgNDc30+fDwcDOPSCloEhISOHPmDFD4Usf1Qp+eOv7MQDskBMLDwckJevc2w+jyDiHg9dchIABsbGDVKtW2S1EUJT9RgbZiNDqdjpCQEKKionBxccHDw8Mks34pKSlERUU9NXg2PJ6QkJCt41lbW+Pi4kLFihXTvypUqPDE/aJFi6LT6XB3dycyMjLTAF2j0eDq6pqn04pjkmI4fet0ejB96tYpTt08xcW7F9GJ3KWAuxTLfxcWsnLnzh2OHTsGwMKFC7G1tcXFxYUTJ04wfvx4PvjgA9q1a0fTpk0tPFIlvwoLC0Ov11OuXLl8eWHueZy6eYrY5FgcbRypX7Z+1hsbiqANGCCndAsJIeDdd+HXX8HKSk7q9+hh6VEpiqIoOaECbcUogoODmThx4iPrl11dXZkxY0a2K3ALIbhz585TA2jDYzdu3Mj2uEqWLJlp4JwxgC5btixWVtkrV2BIK/b29kaj0WQabE+fPt3iacVCCKLiomQwffNUekB9+tZprt2/9tT9itkWo06ZOtQpLb9qlKrBuA3jiI6LznSdtgYNrk6ueFTKuxcWcmPVqlWkpqbSqFEjhg8fnv54u3bt2Lp1K2vWrMHPz4/Q0FCKFi1qwZEq+VVhLoRmSBtvUbEF1lZZfAxJSoKVK+XtoUPNMLK84/PP4Ycf5O358+V1BkVRFCV/UYG28tyy0+6qR48e6bPQTwugr127RlJSUrbOaWNjk2nwnPGxChUq4ODgYPTX6+XlRVBQ0BMXFooUKcKSJUvM2torTZ/GpbuX0melDcH06VuniUmOeep+LkVd0gPq2qVry8C6TB1ciro8WQRMA94rvNGgyTTYnt5tOlqrgrVeOSAgAIBBgwY98rhGo2H+/PkcOHCAs2fPMnHiRH777TdLDFHJ5wpzIbS9EXsBaF3xGWnjf/0FsbHg5gZ5OEvI2H78ET79VN6eMQNeecWy41EURVFyRwXaynPJTrurAQMGoNfrs31MZ2fnLNO4K1asiLOzc7ZnoU3By8uLvn37EhISwt69e/n444/R6XR07NjRJOdLSE3gzK0z6QH16dtypvrcnXOk6FIy3cdKY0W1ktWoU6YOtZ1rPxJYF7cvnu1ze9XxIsgn6Ik+2gA/dP2hwPXRjoyMZNeuXQD4+vo+8byzszNLliyhQ4cOLFiwgC5dujBw4EBzD1PJ51QhNGjj9oyK44Zq44MHy/zpQmD+fHj7bXn7iy9gwgTLjkdRFEXJPRVoK88lJCQky3ZXQHqQbWdn98w07goVKmCfX9bhaQB3qOxcmUobK3E15CqrV69mxIgRuT7krYRbj8xMGwLrKzFXnrpPEesi1C5d+5GZ6Tql61C9VHXsrO1yPZaMvOp40bdWX0KuhhB1P4pfDv5CyNUQLt69aJTj5yUrVqxACMELL7xApUqVMt3G09OTTz75hC+++ILRo0fTqlUr3N3dzTtQJd9KS0tLrwFQ2FLHY5JiOHnzJACtKrZ6+oa3bsHff8vbhSRtfPlyGD1a3n7/ffj4Y8uOR1EURXk+KtBWnktkZGS2tps7dy6jRo16am/i/Cb4VPCjM7wdgGbw48Yfnxlo64WeqzFX5cz0YwXJbifefup+pR1KP5HqXbt0bSoVr4SVxvSzPVorbXoLL2cHZ7ou6cofR/9gWqdpONgYP0XfUgxp435+fllu9+mnn7Jt2zb27t3LoEGD2L17N9bW6k+q8mxnz54lKSkJR0dHqlevbunhmNV/kf8hEFQpUYVyRcs9fcMVKyAtDZo0gbp1zTdAC/nrL9m9zFBpfNo0KCD/u1QURSm01KdCJdciIiL48ccfs7VtzZo1C1SQ7b3C+8n1yk5wzOkYv+35jdfavkZyWjLn7px7oiDZmVtnSExLfOrx3Uu4PwymDYF1mTqUdiht4leWfZ2qdqJKiSpcuneJFSdWMKLxCEsPySjOnTvHwYMH0Wq1DHhG9SFra2sCAgJo1KgRe/fuZerUqXz++edmGqmSnxnWZzdq1MiiS2AsIcdp44VgNnv7dlnsLC1NvtxZs1SQrSiKUhCoQFvJMSEEAQEBjBs3jpiYpxfcgvzR7iondHodEzdOzLQoGBpAwNgtY5l2cBqX7l16arssW60tNUrVeKIgWa3StfLF7LCVxopRTUfx8faPmRs6t8AE2suWLQOgU6dOlC1b9pnbu7u7M2/ePHx9ffnyyy/p1KkT7dq1M/UwTUan16UvD3Ap5oJHJY8CV+guLyjMhdD2RcpAO8tCaOfPw969cl12JnUSCpJ9+6BPH0hOhv79YcGCQrMcXVEUpcBTgbaSI7dv3+b1119n5YOWKy1atGDIkCH4+/sDPFIUzTCDnRfaXRlLyNWQJwqCPUIDaaRx/u55AJzsnB5ZN20IqKuUrJJ1W5t84JUmrzB552T2RezjWPQxGpZraOkhPRfDBSR4dtp4RgMHDmTTpk38/vvvDBkyhCNHjuDs7GyqYZrME8shAFcnV2Z0m1HgCt5ZWmEthCaESJ/Rbu2aRaC9dKn83rkzFOAe40ePQvfuEB8vX2pgIKjVJ4qiKAWHum6qZNv69eupX78+K1euxNramqlTp7Jnzx4mTJhAUFAQFStWfGR7V1dXgoKCzNruytSi7kdla7uxdcdy7e1r3PvgHvtG7uP3vr/z/gvv06dWH2o418j3QTZA+aLl6VurLwDzQudZeDTP7+jRo5w+fRo7Ozv69++fo31nzpxJzZo1iYiIYOTIkZlW4c/LDMshHr+IFBkbifcKb4JPBVtoZAWPEKLQ9tA+d+ccdxLvYG9tT6PyjTLfSAhYvFjeHjLEfIMzszNnoEsXuHcPXnwRVq8GO+PUrlQURVHyCBVoK88UFxfHmDFj6NWrF9evX6dOnTrs3buXyZMnpxd/8vLy4vLly+zYsYOAgAB27NjBpUuXClSQrRd6jkYfzda2CccTcCmWSU/qAmZMszEALD62mPiUeAuP5vkEBgYC0KtXL5ycnHK0b9GiRQkMDMTGxoY1a9Ywd+5cUwzRJLJaDmF4zH+jPzp95ssglJyJiIjgzp07WFtbU69ePUsPx6wMs9nNXJphq7XNfKP9++HCBXBwgH79zDc4M7p8GTp1ghs3oGlTWLcOHB0tPSpFURTF2FSgrWTpn3/+oVGjRsybJ2cs33rrLUJDQ2nevPkT22q1Wjw9PfHz88PT07PApIsDHIs+xku/v8Q3/37z7I1j4J+Af/LdrOYz6XSwc6fMb9y5E3Q6OlbtSNWSVYlNjmX5ieWWHmGu6fX69EA7J2njGTVt2pRp06YB8t/JiRMnjDY+U3rWcgiBIDw2nJCrIWYcVcFlmM2uU6dO/mllaCR7w/cCz0gbN8xme3lB0aJmGJV5RUXJIDsiQhZT37QJihe39KgURVEUU1CBtpKp5ORkPvjgA1566SUuXrxIpUqV2L59Oz/88ANFihSx9PDMJjY5lrc3vU3TuU35N/xfHG0cGdZwGJoH/2VkeMx2uy0Xz1/kv//+s9CoTSA4GNzdoX17GDRIfnd3x2r1GkY3lY1f83P6+J49ewgPD8fJyYkePXrk+jj+/v5069aNpKQkfH19SUx8enX5vCK7yyGyu52SNVUIDdq4PqXieEqKbCYNBTJt/PZtuRb7wgWoWhW2bIHSeaeZhKIoimJkKtBWnnD06FFatGjBt99+ixCCESNGcOzYMdq3b2/poZmNEIJlx5dRe1Ztftz3Izqh4+U6L3Nq3CkW9V9EkE8QFZ0eW5Pu5EqQTxDe9byBh/2Y873gYPD2llMwGUVGgrc3IyLLYG1lzf7I/Ry9nr3U+rzGMJvdv3//57qQZGVlxcKFCylXrhzHjx/nvffeM9YQTcalWPaKTWV3OyVrhbUQWnxKPMeijwFZzGhv3Cij0fLloWNHM47O9GJjoVs3OHECKlSArVvld0VRFKXgUoG2kk6n0zFt2jRatGhBWFgYZcqUYfXq1fz+++8UL0S5bWdunaHz4s74rfIjKi6K6qWqs3HwRoJ8gnAr7gaAVx0vLk+8zI7hOwjwCmDH8B1cmngJrzpeDB48GJCtotLS0iz5Up6fTgcTJ8oCRY978Fi596bQv1Y/AOaG5p+1yQapqanpVfRzmzaeUbly5Vi0aBEAs2fPZu3atc99TFPyqOSBq5PrExkaGTnZOfGi24tmHFXBVVgLoR24dgC90OPq5PrERcp0ht7Zfn4Fqvx2QgL07g0HD8oZ7K1boUoVS49KURRFMTUVaCsAnD9/npdeeomPPvqI1NRU+vbty/Hjx+lXQIvRZCYhNYFPtn1Cg18asO3SNuy0dkz1nErY62F0rd71ie21Vlo83T3xa+CHp7tner/hzp07U7p0aW7cuMG2bdvM/TKMKyTkyZnsjISA8HDG2MgZqiXHlhCXEmemwRnHtm3buHnzJmXKlKGjkWbRunbtyjvvvAPAK6+8QmRkpFGOawpaKy0zus3IvDf8A7HJsUzdNbXg1R0ws7t373LlyhWg8AXahkJoT00bj4kBw0WpoUPNNCrTS06Gl1+G3bvlWuzNm6FOHUuPSlEURTEHFWgXckII5syZQ6NGjdizZw/FihXj999/Z/Xq1ZQtW9bSwzObtWfWUnd2Xb765ytS9an0qNGDE2+cYHK7ydhb56xgkY2NDT4+PgAsNfSDza/Cw7O1WfvE8lQvVZ37KfdZfjx/FUUzpI37+PikV9E3hq+++oqmTZty584dhg4dik6Xd6t296vdj3KO5Z543M3JjeENhwPwRcgXfLztYxVsPwdD2ri7uzslSpSw6FjM7Zn9s4OCZFRaty4UkIsQaWkweLDMiHdwgL//hkK2YkBRFKVQU4F2IXbt2jV69OjB66+/TkJCAp6enoSFhTFixIgC35bK4NLdS/QO7E3fZX25EnOFSsUrsXrgatb5raNaqWq5Pq4hfXz16tUkJCQYa7jmc/cufPstPJiVfRarChUZ1XQUkL/SxxMTE1m9ejVgnLTxjGxtbQkMDMTR0ZEdO3bwzTfZqFhvIevPric6PpridsX5e9DfjyyHWNh/IdO7Tgdg2r/TeH/L+yrYzqXCWghNCMHeiGdUHDekjQ8dCgXg/z96PYwcCatWga0t/PkntG1r6VEpiqIo5qQC7UJq+fLl1K9fn40bN2JnZ8ePP/7Itm3bqFy5sqWHZhbJacl8sfsL6v5cl3Vn12FjZcOHL3zIyTdO0q92v+e+0NCmTRuqVKlCXFwcf/31l5FGbQbnzsH48eDmBh98ADdvgtUz/ky4uYGHByMaj8DGyoYD1w5wOOqwecb7nNavX8/9+/epXLkybdo8JaX1OdSsWZNZs2YBMHnyZPbt22f0cxjD9P3TARjdbDTda3R/YjnExNYTmdVdvo7v937P25veVsF2LhTWQmiX713mRvwNbKxsaOrS9MkNrl6VLQNBdjXI54SQpS0WLQKtFlaskC29FEVRlMJFBdqFzJ07d/Dz88PX15e7d+/StGlTDh06hL+/P1bPCqgKiM0XNtPglwZM2jGJpLQkOlTpwLHXj/F1p69xtHU0yjk0Gg2DHnxgzPPp40LAjh3Qpw/UqgWzZ0N8PDRoAL/9BkuXyhmmp118+PJL0Gop61gWrzpeQP5p9WVIG/f19TXZ+3/48OH4+vqi0+kYNGgQMTExJjlPboVFh7H90na0Gi3jW45/6nbjWo5jTs85gAzMJ2yYoILtHCqshdAMaeNNXJpkvhTH0KGhXTuoVMmMIzON//s/mDVL/sn84w/o29fSI1IURVEsoXBEVgoAmzZtokGDBixbtgytVps+w1a3bl1LD80sImIj8FnpQ9clXTl35xzli5YnwCuArUO3Urt0baOfzxBob9iwgdu3bxv9+M8tOVlOuTRtCh06wF9/yaC7Rw/Z4PXoUXj1VfD1lesnKz5WKdiwntkwEwWMaTYGgKVhS/N8UbSYmBjWr18PGD9tPCONRsOcOXNwd3fn0qVLvP7663kqQJ2xfwYA/ev0p1LxrIOcMc3HML/3fDRomHVgFuP+Hode6M0xzHwvKSmJU6dOAYVvRjt9fXbFTNLGhYDFi+XtAlAEbdo0+OoreXvOnAIxQa8oiqLkkgq0C4H4+HjeeOMNunXrxrVr16hZsyZ79uxh6tSp2NjYWHp4JpeqS+V/e/5H7Vm1WXlyJVYaKya2msjpcafxa+BnsvXodevWpXHjxqSlpREUFGSSc+TKzZvw+efg7g4jRsCRI1CkCIwdC6dOwfr1Ms8x48/FywsuX5Yz3wEB8vuWLXKbBQtg0yYAPN09qVGqBvdT7hMYFmiBF5d9q1evJjk5mTp16tCwYUOTnqt48eIEBASg1WoJDAzkjz/+MOn5sutm/E2WHJNrY/1b+Wdrn9eavsaCvgvQoOGXg78wdt1YFWxnw/Hjx9HpdDg7O1Px8YtWBZxhfXYbt0yWZxw5AidPgp2dLM+dj82eDR99JG9//z2MHm3Z8SiKoiiWpQLtAm7v3r00btyYX375BYAJEyZw+PBhWrZsaeGRmUfIlRCazmvKu1veJT41nrZubTk0+hDTu02nuL3pe4MbiqLlifTxEydg1CiZmjl5Mly/DhUqwNdfy+riv/wCtbOY2ddqwdNT9rj19JRfb74pnxs5EmJj0Wg0jG4mP13m9aJohrTxQYMGmaX4X5s2bZg6dSoA48aN4+zZsyY/57PMC51Hsi6Z5hWa09Yt+5WaRjQewR/9/8BKY8Wvh35l5NqR6PR5t6p6XpCxEFphKTYJkJiayOHr8rVnWgjNUAStTx/Ix5XYFy2S5S1A/nnNZh1JRVEUpQBTgXYBlZKSwieffMKLL77I+fPncXV1ZcuWLcyYMQMHBwdLD8/kouOiGb5mOC8tfInjN47jXMSZ3/r8RsgrITQq38hs4/D19UWj0RASEpLeP9eshJC9Zbp2hfr1Yf58SEqC5s3l2uvLl+HDD8HZOXfH/+orqFpV9tp+7z1ABmG2WltCo0IJvRZqvNdiRNHR0ek9zn19fc123g8//BBPT0/i4+MZNGgQKSkpZjv341J0Kcw+MBuAia0m5jj4G9JwCEv6L8FKY8XvR37nlT9fUcF2FgprIbTD1w+Tpk+jnGM5Khd/rNhmWtrD9dlDhph/cEayapVcZQPg7w9TplhyNIqiKEpeoQLtAigsLIyWLVvy1VdfodfrGTp0KGFhYXQqBGVPdXodPx/4mVqzavHH0T/QoGF009GcGX+GV5u8ipXGvG95V1dX2rVrBzycQTWLxESYNw/q1YPu3WHzZlk93MsLQkLgv//k4sHnXTrg6CgLpoE839atlHYoneeLoq1cuRKdTkeLFi2oXr262c6r1WpZsmQJpUqVIjQ0lE8++cRs535c0MkgouKiKF+0PD71fHJ1DL8GfgS+HIhWo2XxscUMWzOMNH2akUdaMBTWQmh7wx+mjT9xMWf7dplZ4+wM3bpZYHTPb9MmmeSj18Nrr8EPPxSI7mSKoiiKEahAuwDR6XR89913NG/enKNHj+Ls7ExQUBB//PEHJfJxSl52HYg8QKv5rRj39zhikmNo6tKUfSP3Mbf3XJwdcjljawSG9PEAw8yNKUVFyZK3bm4wZoxcc12smJxmOXdOTr28+KJxPwl6esIbb8jbI0fC/fvpRdECjgdwP/m+8c5lJBnTxs2tYsWKLFiwAIDvv/+ezZs3m30MQgim75sOwBvN38BWa5vrY/nU82G593KsrawJCAtgcPBgUnWpRhppwaDT6Th27BhQ+Ga090VmUQjNUARt4EDZbDqf2b0b+veH1FT5EubOVUG2oiiK8pAKtAuIixcv4unpyfvvv09KSgq9evXi+PHjvJzPi8tkx53EO4xdN5ZW81sRGhVKcbvizOo+i/9G/kfLipZfi+7t7Y2trS1hYWGEhYWZ5iSHD8OwYVC5smy3dfu2LHb2ww9y/fWPP8oUb1P55ht57itX4MMPaVe5HbWcaxGXEkdAmBkuMOTA5cuX2bNnDxqNBh+f3M3kPq++ffvyxoOLE8OGDePGjRtmPf++iH0cuHYAO60dY5qPee7jvVz3ZYIGBGFjZcOKEyvwW+Wngu0Mzp8/T3x8PEWKFKFmzZqWHo5ZpVccf3x9dlwcBAfL2/kwbfzgQejVSyYP9eolrxlotZYelaIoipKXqEA7nxNCMH/+fBo1asQ///xD0aJFmT9/PmvXrqV8+fKWHp5J6YWe3w//Tq1ZtZgbOheBYGjDoZwZf4ZxLcehtcobn3pKlChBz549ASMXRdPp4M8/5Yxy06byk15qKrzwgmzHde4cvPUWFDd90TeKFn2YQv7zz2h27UovijbvUN5KH1+2bBkAnp6eVKhQwWLj+P7776lfvz7R0dGMGDECvd58lbun758OwOAGgynrWNYox+xbuy/BA4Ox1dqy6tQqfIJ8SNFZbg16XmJIG2/YsCHaQhSNRcRGEBEbgVajpXmF5o8+uWYNJCRAtWrQOpPZ7jzs+HFZ9uL+fWjfHlaseP5VOIqiKErBowLtfOz69ev07t2bUaNGERcXh4eHB0ePHuW1114r8FVtj0Uf46XfX+LVta9yK+EW9crUY9eIXfzR/w/KFS1n6eE9wZCiHBAQ8PwBVVwc/PQT1KoF/frBrl1yKsXPD/bvh3/+kW1yDH2uzaVjx4f9bF57jWHVX8ZWa8uhqEMcvHbQvGPJgiXTxjMqUqQIgYGB2Nvbs2HDBmbOnGmW84bHhLPq5CoAJraeaNRj96rZizUD12CntWPN6TV4r/AmOS3ZqOfIjwprITTDbHbDcg1xtHV89ElDtfEhQ/JVvvX589C5M9y5A61ayWudRYpYelSKoihKXqQC7XwqKCiI+vXrs379emxtbfnuu+/YsWMHVU2ZHpwHxCbH8tbGt2g6tyn/hv+Lo40j33X+jsNjDvNS5ZcsPbyn6tWrF05OToSHh/PPP//k7iDh4fD+++DqChMmwIULsh3OBx/I6uEBAWDptm3ffSfXh1+8SOkvfsC7rjcAcw/mjVZfJ0+e5NixY9jY2OSJZRX169fnhx9+AOD9999Pn/k0pdkHZqMTOtq7t6dhOeP3D+9eoztr/dZib23PX2f/wmuFF0lpSUY/T35SWAuhPTVt/Pp12LJF3s5HaeMREdCpkxx+w4bw99+yBIaiKIqiZEYF2vnM3bt3GTJkCAMGDOD27ds0btyY0NBQ3n333QKdkiiEYNnxZdSeVZvp+6ejEzq863pzevxp3m37LjbavJ23Z29vnx7Y5bgo2v794OsLVarIQDYmBmrUgNmz5Se/adNk8J0XODnBr7/K2z/9xBhr+QE78HggscmxFhyYZJjN7tatGyVLlrTwaKSxY8fSr18/UlNT8fX1JS4uzmTnik+JT68EP7GVcWezM+pSrQvr/NZRxLoIf5/7m77L+pKYmmiy8+VlQohHemgXJnsjZMXxJwLtwEBZprt1azBj1f/nceOGDLKvXIGaNWUjh1KlLD0qRVEUJS9TgXY+snXrVho0aMDSpUuxsrLik08+Yf/+/dSvX9/SQzOp07dO02lxJ/xW+REVF0X1UtXZOHgjKwesxNUpjwSY2WCoPr5y5cpn909OS4OVK6FtW/lhdPlyuSa7Qwf46y84fVpW+nZ0zPo4ltC1q2wqKwQe78ygdqlaxKfGW7womhAi/SKHpdPGM9JoNMyfP5+KFSty9uxZJk40XQC85NgS7ibdpWrJqvSq2ctk5wHoWLUjfw/+GwcbBzZf2EzvwN4kpCaY9Jx5UVRUFDdv3sTKyqrA/63OKEWXQui1UADauLZ59ElD2vjQoWYeVe7cvQtdusCZM1CpEmzdCuXy3golRVEUJY9RgXY+kJCQwIQJE+jcuTORkZFUr16df/75hy+++ALbfNgSJbsSUhP4eNvHNPylIdsvbcfe2p7PPD8j7PUwulbvaunh5ZinpycuLi7cuXOHjRs3Zr5RTAz8739ylsfHB/bulW1vRoyAI0dg2zZZ4tYqj//T/d//oGJFNOcvMPqaLMo3N3QuQgiLDenAgQNcvHgRBwcHevfubbFxZMbZ2ZklS5ag0WhYsGABK1asMPo59EKfXgRtQssJZikW6OnuycbBGylqW5Rtl7bRM6An8SnxJj9vXmKYza5duzYODg4WHo35HL1+lGRdMqWKlKJ6qQyz1idPwqFDsoaEhar+50RcHPToAUePQvny8k+wm5ulR6UoiqLkB3n807ry33//0aRJE3766ScA3njjDY4cOUKbNm2esWf+JYTgz9N/Und2Xb7+52tS9an0rNGTE2+cYFK7Sdhb21t6iLmi1Wrx9fUFMqk+fuECTJwoU8DffVfmJ5YpA5Mny9u//w6NGllg1LlUogTMkynKw2fsws7KliPXj3Dg2gGLDcmQNt63b18c82AmgKenJx9//DEAo0eP5vLly0Y9/pYLWzh96zTFbIvxSpNXjHrsrHhU9mDTkE0Usy3Gzss76b60e57srW4qhbUQWsa08UeKcxpms3v0gNKlLTCy7EtKgr59Yd8+mSa+ZUu+yXRXFEVR8gAVaOdRqampTJ48mbZt23L27FkqVKjAxo0bmT17dp4MEozl0t1L9FnWh37L+3El5gqVildizcA1/OX3F1VL5v9Cb4b08bVr13I/NhZ274b+/eWa65kz5fRJvXowfz5cvQpTp8pplPyoRw8YNoxSiTDggrw4YlgfbG46nS69rVdeSht/3KeffkqbNm2IiYlh0KBBpKWlGe3YM/bPAODVJq/iZOdktONmR1u3tmwZugUnOydCrobQfWn3PLFm3xwKeyG0R9LG9XowXGTM40XQUlPlhPv27bJ74caNUIgy/xVFURQjUIF2HnTy5Elat27N559/jk6nY9CgQRw/fpyuXfNfunR2Jacl8/muz6n7c13WnV2HjZUNH734ESffOEnf2n0LTLuypk2bUr9mTV5OSiKlYUNo1072kxUCuneXFXbCwuC118A+f87cP2L6dHBxYfQOGVQFHg8kJinG7MPYtWsX169fp2TJknTp0sXs588uGxsbAgICcHJyYu/evXz22WdGOe7pW6fZcH4DGjS82fLNp2+o08HOnbJY1c6d8r6RtHJtxdahWylhX4J/w/+l65KuFnkvmFthLYSWacXxkBB5AdHJSS6ByaN0Ohg+XJbDsLeHdeugRQtLj0pRFEXJb1SgnYfo9Xp+/PFHmjZtyqFDhyhVqhTLly9n6dKleaZCsilsvrCZBr80YPLOySSlJdGhSgeOvX6Mrzp+9WTv1fzs9m00X3/NnqgolgDOV67IBqxjxsh1i3//LRu0FpCLCgCULAlz5vDiVahzU667Xxq29Nn7GZkhbdzb2zvP1zVwd3dn7lzZDu3LL79k165dz33Mn/bLpSe9a/WmWqlqmW8UHAzu7tC+PQwaJL+7u8vHjaRFxRZsG7aNkvYl2Rexj86LO3Mv6Z7Rjp/XxMTEcPHiRaBwzWhHx0Vz6d4lNGhoWTFDy8HFi+X3AQPybPNpIWDsWHmtycYGVq+W10MVRVEUJadUoG0iOr2OnZd3EhgWyM7LO9Hps54Zunz5Mh06dODtt98mOTmZ7t27ExYWhk8+KBaTWxGxEfis9KHrkq6cu3MOl6IuBL4cyNahW6lduralh2c8p0/LT25ubvDJJxS7f59rwCcaDdEHD8KcOVCnjqVHaTp9+qAZNIgxB+XduQfmmLUoWnJyMkFBQUDeThvPyNfXl1deeQW9Xs+QIUO4c+dOro91N/EuC48uBMC/lX/mGwUHg7e3bBeXUWSkfNyIwXZTl6ZsH74d5yLOHLh2gE5/dOJOYu5fX1529OhRANzc3HB2drbwaMzHMJtdr2y9h8sUkpJkJwXIs2njQsA778iVO1ZWEBAA3bpZelSKoihKfqUCbRMIPhWM+wx32i9qz6DgQbRf1B73Ge4En3ryw6oQgt9//52GDRuya9cuHB0dmTt3LuvXr6dChQoWGL3ppepS+X7P99SeVZuVJ1ei1Wjxb+XP6fGn8a3vm3/SxLNKsxVCVs7p0UMG0XPnQmIiNG0Kixfj06IFXwnB8q1bLTV685o5k6HXSmOfCsduhvFf5H9mO/WmTZu4d+8eFSpUwMPDw2znfV4zZ86kZs2aREREMHLkyFxfnJh/aD4JqQk0LNcQT3fPJzfQ6WQhvsyOb3jM39+oaeSNyzdmx/AdlHEoQ2hUKB3/6MithFtGO35eUVgLoaWnjVfMkDa+bh3ExsoLji+9ZKGRZe2zz+DHH+Xt336T15gURVEUJbdUoG1kwaeC8V7hTUTsozNDkbGReK/wfiTYjo6Opl+/frz66qvcv3+fF154gaNHjzJ69Oj8E2zm0O4ru2kytwnvbXmP+NR42rq1JXR0KD92+9HsBZqey9PSbJctk5/QGjaUjVc3bJCp4P36wa5dcPAgDBnCwAf9Y5+oPl5QOTtTavpcBpyUd+du/tJspzakjQ8cOBCt1vQtrYylaNGiBAYGYmNjw+rVq5k3L+eF5NL0acw6MAuAia0mZv53JSTkyZnsjISA8HC5nRE1KNeAHcN3UNaxLEeuH6HDog7cjL9p1HNYWmEthJax4ng6Q9r44MF5sj3hDz/AlCny9syZsqOioiiKojyPvPd/u3xMp9cxceNEBE/ODBke89/oj06vY/Xq1TRo0IC1a9diY2PDtGnT2LVrF9WqPWX9ZD4XHRfNsNXDaLewHSdunqC0Q2kW9FlAyCshNCqfj9pWwdPTbCMiwM8PRo6E48dlqdoJE+DcObnQ76WX0tdf+/j4oNVq+e+//zh37pwFXoQFeHkxxqkDAMsureNe7A2TnzIuLo4///wTAD8/P5Ofz9iaNm3KtGnTAPD39+fEiRM52n/N6TVcjblKaYfSDGrwlLT5qKjsHez06RydOzvqla3HzuE7KV+0PGE3wmi/qD3RcdFGP4+lFMZCaGn6tPQ2fm3cHlQcv3VL1qAAeHCRMS/59VeZMg7w5ZfwZhb1AhVFURQlu1SgbUQhV0OemMnOSCAIjw2nyJQieG334mbfmxQdW5SOv3TkSv0rTNo5ie/+/Y5fQ38l6GQQ2y5uI/RaKBfvXuRO4p1nrvO2tMzWpev0On4+8DO1ZtVi8bHFaNAwptkYzow/wytNXsFKk8/eglml2RpotfDtt3IWcMYMyOTiSbly5ejUqRMAAQEBphptntP220Dq3daSaC1Y8r/hJj/f2rVrSUxMpHr16jRv3tzk5zMFf39/unbtSlJSEn5+fiQlJWV7X0NLr7HNxj69/7yLS/YONm6czMxYu1b2PjKSOmXqsGvELioUq8CJmyfwXORJ1P1sBv95WEpKCidPyhSOwhRoH79xnITUBJzsnB7W2lixAtLSoEkTqFvXsgN8TGCgrEcJ8OGH8KCVvaIoiqI8N2tLD6Agye6Hw1RtKpSWt+OIY2PERsgiczMjJzsnStqXpIR9CUoWefDdvmSmjz1+397a3mQp6cGngpm4ceIjFxrKOpalqE1RLt6TVXebujTll56/PFqFNr95VpotyGC8RQsoUSLLzQYPHsymTZtYunQpkydPLrDLBTLSlC3LmLpDmRC9kHk3NzLu8GE0JgxCDGnjfn5++fbna2VlxaJFi2jYsCFhYWG89957/PTTT8/c7+C1g/xz9R9srGx4vcXrT9/QwwNKl5azjk9jawspKfDnn/KrbFkYNgxeecUogVNN55rsGrGL9ovac/rWaTwXebJ92HYqOlV87mNbyokTJ0hNTaVkyZJUqlTJ0sMxm73hMm28VcVWDy+kLlkiv+exImhr18oJdiHgjTfgq68sPSJFURSlIFGBthG5FMvezFDpf0vz6Zuf4lbDjbtJd7mXdI+7iQ++Jz32/cHj8anxAMQmxxKbHMuVmCs5Hp+t1vaRADz9djaCdCc7J7RWma9vNaxLfzxl/kb8DW5wAwdrB77r8h1jmo156jHyjeym2WZju379+lGkSBHOnTtHaGhovp1xzakhw/7H+9/8QVg5PfveGUibTSdkHx0ju337Nhs3bgTyZ9p4RuXKlWPRokV0796dWbNm0blzZ/r06ZPlPobZbJ96PlQolkVhxdBQWaQqM4aLE4GBULs2/P47/PEH3LgB338vv1q1gldfhYEDoXjx3Lw8AKqXqp4ebJ+9fRbPRZ7sGL4DVyfXXB/TkgyF0Bo3bpxvL/Lkxr5IWQitjeuDtPHz52HvXrkuOw/9O9y2DXx85HXRoUPhp58KVmdFRVEUxfJUoG1EbSu2RRunReeog8z+hy1Ac1/DmeVnKFWyVI6OnaJLISYp5pEAPLtB+r2ke+iEjhRdCtHx0UTH53wNpAaNnE1/LBgvblecoFNBma5LNyhRpETBCLIh+2m22diuWLFi9O3bl2XLlrF06dJCE2iXdCjFwNreLDq7grnFz9Fm2jSYNMno51m1ahVpaWk0btyYOgWgfVq3bt14++23+eGHH3j11Vc5evQoFStmPuMbdT+K5ceXA+Df2v/pBz13Dnr2lLPVjRrJWe3IyIfPu7rC9Ong5SXvf/ednPb7+28ZdK9bB/v3yy9/f3j5ZRl0t2uXq4JXVUtWTQ+2z985T7uF7dgxfAeViue/GeHCWggtveK4oRCaoeBjp07Z//tpZDqdTEaKipJDsLaGvn0hORn694cFC/JkfTZFURQln1OBthHt+XcPuvU68AEEjwbbD+JQsUFwrPcxPD09c3RsW60tZRzLUMaxTI7HJYQgLiUuV0H63aS7JKQmIBDEJMcQkxyT4/Nfu3+NkKshmbcWym9Oncr6eY1GBifZbCM1aNAgli1bxrJly/j+++/zVVXs5zHmRX8WnV3B8nrw43efUbJfP2jQwKjnyJg2XlB89dVX7Ny5k0OHDjF06FC2bNmS6Xvml4O/kKpP5QW3F2he4SkXcKKjoWtXGVw3awY7doCDw6MRiYeHrDmQkY2NjFL69pXHWLJERionT8rbS5bICvyvvALDh0Plyjl6je4l3NOD7Yt3L6YH2+4l3HN0HEsrjIXQbifc5uztswC0cm0lc7INaeMWKoIWHCzLamRc8aPRyKF17SqTNazVJyFFURTFBDQit81ZLSg2NpbixYsTExODk1PeaQkVGBjIoEGDoA7QDciYRRkDbAROyeJX+enDf4ouJX1mPGMAfjfxLrsu72L5yeXPPEaAVwB+DfLPa87U99/De+89vG/4tJbxPkBQ0MMZwGdISUnBxcWFO3fusHnzZjp37mzEAeddQggazmnI8RvHmfk3vKlrBvv2Ge0Tb2RkJG5ubgghuHLlSoFaI3v27FmaNm1KfHw8X331FR999NEjzyelJVHpx0rcTLjJCu8VDKg34MmD3L8Pnp5w6BBUrQp79kC5crkflBDw339yljsw8GEqukYDHTvKWe5+/aBIkWwfMiI2In1mu1LxSmwftp1qpfJHVwa9Xk+JEiW4f/8+YWFh1K9f39JDMou/z/1Nz4Ce1HKuxenxp+W/6TZt5AWc6GjZicGMDA0invYpJyAgT2WzK4qiKPlATuJQlSxlRC6GtLhTwHRgIRD04Pv0B49n3C6fsNXaUtaxLDWda9LKtRVdq3fFt74vr7d4nbEtxmbrGNldv54nCQGTJz8Msj/6SAbTj6fturrmKMgGsLW1xcfHByhc1cc1Gll9HmBuSytEaKhMSzaS5cuXI4TgxRdfLFBBNkDNmjXTi6FNmjSJffv2PfJ8YFggNxNu4ubkRv86/Z88QEqKjD4OHZJF0DZufL4gG2RA3aoVzJkjZ8MXL4YOHeS/na1bZa95FxdZcerAgayr9j/g6uTKrhG7qOVci6sxV/Fc5Mm52/mjFd7Fixe5f/8+dnZ21KpVy9LDMZsn0sYNs9leXmYPsp/VIEKjgQ8+kNspiqIoiimoQNuIPDw8cHV1lYVvBHAZOP7gu5DBhZubGx7ZTCvODzwqeeDq5Iom00Xpcm23m5MbHpXy6WsWAt56Cz7/XN7/6iv59fLLcPmyTLcNCJDfL13KUZBtMHjwYECuKU5MTDTi4PO2IQ2HUMS6CCdK69njBkyZAjnsE/00BTFtPKMRI0bg6+uLTqdj0KBBxMTIJR1CCKbvnw7A+JbjsbZ6LENACNnnffNmOcu4fj3UqGHcwTk4yOrS27bBxYvw6adQqRLExMAvv0DLltCwIfz4I9y8meWhKhSrwM4RO6lTug4RsRF4LvLkzK0zxh2vCRgKoTVo0AAbExT6y6seCbRTUmDZMvmEBaqNP6tBhBCyA2NIiPnGpCiKohQuKtA2Iq1Wy4wZstLv41VmDfenT59eoNbhaq20zOj24DU/Fmwb7k/vNj1/FkLT6WDUKNkLG2DWLDmbbaDVyvRbPz/5PZe/17Zt21KpUiXu37/PunXrnnvY+UUJ+xL41vcFYF7fivKD+auvyn67z+HcuXMcPHgQrVbLgAGZpE0XABqNhjlz5uDu7s6lS5d44403EEKw68oujkUfw8HGgZFNRz6540cfydlmrVZmX7Q0cau9KlXkBZRLl2DLFjmzbWcHx4/D229DhQry4tS6dU/9vZcvWp6dI3ZSv2x9rt2/huciT07dfEatBAsrjIXQ9ELP/sj9wIOK45s2we3bMluiY0ezj8eIDSIURVEUJVdUoG1kXl5eBAUFPVEN2NXVlaCgILxyMeOZ13nV8SLIJ+iJnreuTq4E+QThVScfvuaUFBkU/PabLEe7cCGMG2eSU1lZWcm1/cBSQ4XeQmJ0s9EArCh3i7tlneQ63x9/fK5jGmazO3fuTJkyOS8emF8UL16cgIAAtFotAQEBLF68mOn7pgMwvNFwShV5rLPBTz/BN9/I2/PnQ/fu5huslZWsOr10qYxsfv5Z9ppPS4PVq6F3b3Bzk7m8p08/sXtZx7JsH7adhuUacj3uOp6LPDlxwzjZD6ZQGAuhnbp5itjkWBxtHKlXtp68oAPy76gFqo0ZsUGEoiiKouSKKoZmIjqdjpCQEKKionBxccHDw6NAzWRnRqfXEXI1hKj7UbgUc8Gjkkf+nMlOTIQBA2RarY2NLO708ssmPeXx48fT00yjo6MpWbKkSc+XVwghaDy3MceijzG9hC8T/ZfJGc8jR2Tf5lwcr27dupw+fZpFixYxbNgw4w86j/nyyy/5v//7P4pUKELS6CQEglPjTlG7dIaf38qVss+1EPDFF/DJJ5YbcEbHj8sCaosXP5pG3qaNzG7w8YEMf+NvJ9ym0+JOHLl+hNIOpdk2bBsNyzW0wMCzVqFCBaKiotizZw9t2rSx9HDM4rdDvzHyr5F4unuyo98aOZOdnCz7tDdtavbxzJoFb7759OcNDSIuXcp1MpKiKIpSCKliaHmAVqvF09MTPz8/PD09C3yQDTKN3NPdE78Gfni6e+bPIPv+fdlXeP16sLeHtWtNHmQD1K9fn4YNG5KamkpQUJDJz5dXPFIUzfooomsX+eH81VdzVaXo6NGjnD59Gnt7e/r162fk0eZNH374IZ6eniQ2SEQg6FK1y6NB9q5dco2sELIY2ccfW26wj6tfH/73P7mYNjhYzmxrtbB3r1y24eIiW4Tt2gVC4OzgzLZh22jm0oxbCbfosKgDR64fsfSreER0dDRRUVFoNBoaGLllXV62N2Iv8CBtPChI/juuWxfMPKuv08lVCRmD7MdWcqXfnz5dBdmKoiiK6ahAW1EM7tyBzp1lYbNixeQaw27dzHb6wpo+PrjBYBxsHDh16xT/fj5a/uz37oWZM3N8LEPl9l69euXZbBdj02q1/Pzbz9BM3nc6meF1h4XJftcpKdC/v/yZPh515AW2tnJ8a9fKoPvbb2VGQ0IC/PGHrIFQvTp88QWlbsWzddhWWlZsye3E23RY1IFDUYcs/QrSGQqh1axZk6JmrrRtSY8UQjNUGx8yxKzvt/h4eV3UsPrk66+N1iBCURRFUXJMBdqKArLHa/v2sH8/lCoF27fDSy+ZdQiGCtm7du0iPDzcrOe2pOL2xfGtJ4uizY1YI/uVg5x5PZf9dk56vZ5lD6ocF9Rq40+z5eYWsAVuQtA3QWzevFmWVO7eXVb7fuEFuT46P0zflS8vW+mdPCn7e48aJS++XLwIkyZB5cqU6DuQzQ5jaVOhFXeT7tLxj44ciDxg6ZEDhbMQWkxSDCdvngSgNa6wc6d84kFHBXOIioJ27eDPP+Xqk+XL4cMPjdogQlEURVFyRAXainL1qgyqjx2TH/J37YLmzc0+jEqVKvHSg+DeEDAWFmOay/TxlSdWcnuwlyyclZQEr70Gen22jrFnzx7Cw8NxcnKiR48ephxunqLT65i5X87+v2T3EgiYMGQIaZ07Q2Qk1KkjZ4qLFLHwSHNIo5FrtefNk1GUYWZbCNi8meKDX2XT/53hxVQX7iXdo9PiTumzqpZUGAuh/Rf5HwJB1ZJVKbt6s3ywXTvZ1s0MwsJkG/fQUNkafscOubzfwEgNIhRFURQlR1SgrRRu586BhwecPQuVK8umqvXrW2w4hp7ahS19vEWFFjQu35hkXTKLw5bAr7+Co6P8fcyena1jGNLG+/fvj729vSmHm6f8fe5vLty9QAn7EqyavIqmderw682bWJ85g6hYETZulFka+ZmjIwwdKiOoCxfkzLabG8Vu3GPDd1G8dBlik2Pp8psn/4att+hQDanjhSnQTk8br9j6YbXxoUPNcu5Nm2TCRni4XG2wf7+8PqMoiqIolqYCbaXwCguTQfbVq1Czpgzqqle36JC8vb2xsbHh6NGjnDiRd9sXGdsjRdFC5yIqV5brdEHmf164kOX+qamprFy5Eni41r2wmL5/OgCjm46mdNGSbK9QAQ/gHrBk0CCzzSqaTdWq8NlnMv9382aKevnyd5At7S/BfZLpuqwXu4e1g7//fu6e7DkVFxfHuQfLHQpT6vi+yAeBNq4y5d/OzixFJOfOlbUr79+XK3/27JFvD0VRFEXJC1SgrRROBw7IHMLoaGjUCHbvln18LaxUqVJ0f9DfuLDNag9qMAhHG0dO3zpNyNUQGDtW/o4SEmDkyCxTyLdt28atW7coW7YsHTp0MN+gLexY9DG2X9qOVqNlXIs3YMIEim/bhs7amn7AyBkz0lOZCxytVhYvDAzE8ep11rX4kU43ixFvC93ddrNzXE95keGjj2TGytPodHJNcWCg/J6LavcGx44dQwhBhQoVKFu2bK6Pk58IIdJntNvsi5AP9u4NJUqY7Jx6Pbz7rvwTodPBiBEycaOQdEVUFEVR8gkVaCuFz65d0KGDrDLeqpVMRy1XztKjSmdIHw8ICECfzfXJBYGTnRN+9WURs7mhc8HKCn77DRwcZAA0d+5T9zWkjQ8YMABra2tzDDdPMKzN9qrjRaWfl8LPP4NGg9XSpZTo25eUlBT8/PyIj4+38EhNrGRJHMb5s/bHaLqWbUuCLfQYDNvso2DaNKhVC158ERYskNOfBsHB4O4up0MHDZLf3d3l47lQGAuhnbtzjjuJd7C3tqdhwDb5oAnTxhMSwNtbdoUD2RZ+wQJZuF5RFEVR8hIVaCuFy4YNsmVXXJz8UL1lS56bBunduzfFihXjypUr7N2719LDMStDUbSgk0HcTrgt80C//lo++d57snzwYxITE1m9ejVQuNLGb8bfZMkx2UbJ/3YN+OQT+cT06Wh8fPjtt9+oWLEiZ86cYeLEiRYcqfkUsSnCmlHb6FGjB4k20GuELZv9WsqLNv/+K4vrubjAK6/ICM3bW7YTyygyUj6ei2C7MBZCM8xmNytSDdtr0eDsbLK2iNevyySX1atlYB0QIN/2ebFjnaIoiqKoQFspPIKCZE/hpCTo1Uuu4SxWzNKjekKRIkXwetB7prCljzdzaUaT8k1I0aWw6Ogi+eD48XItfXy8bPUkxCP7rF+/nri4OCpXrkybQlQFaV7oPJJ1yTR3rEGb8dPkg++/DxMmAODs7MzixYvRaDT89ttvrFixwoKjNR97a3uCfYLpXbM3SSKFPnWPsmHPIjmzXbOmfB8tXCgLqj32XgIePubvn+M08sJYCG1vuLwY2Cb8wc9t4ECTTC8fPy4TkA4ckLH8tm2yiriiKIqi5FUq0FYKh4UL5QfA1FT5PTgY8nBlasPM7IoVK0hNTbXwaMwnY1G0eaHzEEI8TCG3t4etW2H+/Ef2CQwMBMDX1xdNIZnaStGlMPuArMbuv/wqGp0ehgx5OPv/QPv27fn4448BGD16NJczyQgoiOys7QjyCaJ/7f4k65Lpt+U1/upXF06fljPbz2r/JoQsYx0Sku1zpqamEhYWBhSu1PH0Qmi7HhQsHDLE6OfYskVWFr96FWrUgH375EoARVEURcnLVKCtFHyzZslUUb1epo4uXQo2NpYeVZY6dOhAuXLluH37Nps2bbL0cMxqUINBFLUtypnbZ9h1ZZd8sEYN+PJLefudd+QnbiAmJob162U7p8KUNr7yxEqi4qJwibdiwOFk6NJFXoywevJP+qeffkrr1q2JiYlh8ODBpJm5Erel2GptWe69HO+63qToUnh5xcusOfMntG2b/WAwKirb5zt9+jQpKSk4OTlRpUqVXI46f4lPiedY9DEAWp9PhmrVoHVro57j11+he3eIjYWXXoK9ey3eHEJRFEVRskUF2krB9vXX8Oab8ra/v/zUptVadEjZYW1tja+vL/Cw0FdhUcyuGIPqy6B5Xui8h09MnCgb5N6/D6NHgxCsXr2a5ORk6tatS4MGDSw0YvMSQjD9n+8BeGO/HttGTeWyiKek69rY2BAQEICTkxN79uzh888/N+dwLcpGa0Pgy4H41vclVZ/KgJUDWHVylVynnR3Z3Y6H67MbNWqEVSYXPAqiA9cOoBd63JLtqXgfeQHDSFkler3s7Dd6tMzgHzoUNm+WaeOKoiiKkh8Ujk8DSuEjhGzr8yBtlk8/hR9+yFdVcwzVx//880/i4uIsPBrzGt1sNACrTq3iVsIt+aBWK8sL29nBpk2wcGF62rifn1+hSRvfe3YbB28ewS4NxtyoBOvXP7PWQJUqVZgzZw4AX3zxBbt37zbHUPMEaytrFvdfzOAGg0nTpzEwaCArnK+Dq2vWfw9cXWVtgGwqzIXQWp9Pkg88+Jv1vBIT5Qqfb76R96dOhUWL5D99RVEURckvVKCtFDx6vSygNe1Bgajvv4cpU/JVkA3QvHlzqlevTkJCAmvWrLH0cMyqWYVmNHNpRoouhYVHFj58onZt+OwzAPT+/pzcsgWQgXahkJrKjFmyddLgs3aUWbsVypfP1q5+fn6MGDECvV7P4MGDuXPnjilHmqdYW1mzqN8ihjUahk7o8Fs9mICp3gDorGCnOwTWl991hj8TZcvKmg7ZVBgLoaUH2hHIlPEaNZ77mNHRsiGEIUlj8WKYPDnf/flWFEVRFBVoKwVMWhqMGJHeT5i5c+Wa3nxIo9Gkz2oXturjwJNF0QzefhtatsQqNpZfhKBlixZUq1bNQqM0IyG4OsaXVaWuAzBx1G85Dmx++uknatSoQUREBKNGjXr051rAaa20LOizgFcbv4pe6BkaMZMJM7vh/raW9iNgkDe0HwHub1sRXF8Lhw5B796ySvkzCCHSA+3CUghNCMHeCEPFcYxSBO3kSRmv798PpUrJImgmqK2mKIqiKGahAm2l4EhOlvmGixfLNOMlS+QCv3zMEGhv2bKFGzduWHg05uXXwI+itkU5d+ccOy/vfPiEtTX8/jspGg29gKlGmEXLFz75hNnhweisoH2xhjTslPM03aJFi7Js2TJsbGwIDg5m3rx5z96pANFaafm1z6+MajoKvdDz0+0NRBR9tIVXZDGBt7eO4CYPqtx36yYrcWXhypUr3Lt3DxsbG+rWrWvKl5BnXL53mRvxN7DRQZObWvm39zls2ybr1F2+LIud7d0ri58piqIoSn6lAm2lYEhIkD2yg4NlvuGqVVAAqlDXqFGDFi1aoNPpCk0fZIOitkUZ3EAGk3ND5z7y3GUHB6Y8mI3tsn59jqpD50uzZhH//df82kze9e+Z+4JmTZs25esHbcDeeustTp48aYwR5htWGitm95iNo41jps8LBKDBf6ATupLF4Z9/oGNHyCLV3rA+u169etiaoId0XmRIG28SBfZdekDp0rk+1oIF8npGTIxs27V3r2x5riiKoij5mQq0lfwvJga6dpUFshwcZHGovn0tPSqjMbStKszp48GngrkR/3BGf9myZXwLnClWDKuYGBg7VhbAK4hWrYIJE1jcCO4WgWolq9GzRs/nOuRbb71F165dSUxMxNfXl6SkJCMNNn/4N/xf4lOfnhIuEIQn3SBk+XcygDx4UC4cfkpWSeEshCbTxltHIEuC54JeL+tVvvaaXPUzaJBMIniOmF1RFEVR8gwVaCv5261bcrbpn3+geHG5qK9TJ0uPyqh8fX2xsrJi3759XLhwwdLDMasmLk1oUaEFqfpUFh1ZlP54YGAgOuD422/Lnuhr18KDCuQFSkgIDB6MHsGMbiUAeLPlm2itnq9FnZWVFYsWLaJs2bKEhYXx3nvvGWGw+UfU/exlQESVLwq7dsmCc8eOyVzmyMgntiuMhdD2npKFCNvcLgK9euV4/8RE8POTHRhBFjxbskRVFlcURVEKDhVoK/lXVBS0awehoXIKZMcOucivgClfvjwdO3YECl9PbXjY6mveoXnohZ4TJ05w7NgxbGxs6DBxIvzf/8kN33xTliwuKE6cgD59IDmZLYPbcNr6HsVsi/FKk1eMcvhy5cqxaJG8eDFr1iz++usvoxw3P3Aplr3+2C7FXKBuXdi9G9zc4MwZGWxfvvzIdoYZ7cJSCC0xNZHDsWcAaN24FxQpkqP9b96U10dXrJDXyRYtki28VGVxRVEUpSBRgbaSP12+LHvcnjwJFSvKD8IFeDYpY/XxwlQpGsC3vi/FbItx/s55dlzakd47u3v37pQsWVL2S2/cWK6hfeONgpFCHh4uF63euwdt2zK9c1EAXm3yKk52TkY7Tbdu3Xj77bcBeOWVVwgPD2fnzp0EBgayc+dOdDrdM46QP3lU8sDVyRUNmUd2GjS4ObnhUelBH+0aNWR2QbVqcPGi/Ntz9iwAt27dIiIiAoBGjRqZZfyWdvjKPtI0gnJxUNnv9Rzte/q0rCy+dy+UKAGbN8OwYaYZp6IoiqJYkgq0lfzn9GlZMefCBahSRX4ArlPH0qMyqf79+2Nvb8+ZM2fSZ88Ki6K2RRnSUPb4mRs6Nz3QTu+dbWMDv/8uq5EHB8PKlZYaqnHcvQvdu0NEBNSuzelF/2PjpS1o0PBmyzeNfrqvvvqKJk2acPv2bWrUqEH79u0ZNGgQ7du3x93dneDgYKOf09K0VlpmdJsBkGmwLRBM7zb90RT9ypXlBb06deTv5qWX4Pjx9LTxatWq4eRkvIsgednerQsBaHOrCJp27bK9386d0KaNvFZRtaoMtj09TTJERVEURbE4FWgr+cuRIw/XSdapI4PsKlUsPSqTc3Jyonfv3oAqinYx+iIODg7pPw9Azmh//LG8PW6czE3Nj5KSoF8/mTZeoQJs3MjMM38A0KdWH6qVMn6/cDs7O155RaajJycnP/JcZGQk3t7eBTLY9qrjRZBPEBWdKj7xnAYNJexLPLlThQpyzXajRnKZgqcn1x6k3Bem9dn7Tsv12a0rtgKr7H2MWLQIunSRSRpt2sC+fVC7tgkHqSiKoigWpgJtJf8wTH/cvAlNm8rZpYpPfkguqAzp44GBgQU2pfdpGpVvRMuKLdEJHTSGfv364ej4WHumTz6BBg1kgbw3jT/za3I6HQwZIt/XTk6wYQN3yzqx6KhcRz2x1UQTnVbHt99+m+lzhmUK/v7+BfI951XHi8sTL7Nj+A4CvALYMXwHwxsNRyDwW+XHtfvXntypTBlZD6JlS7h9G+9ffqENhSjQvnWLfVpZTK51p+HP3FwImDQJRoyA1FTZbnv7dvljVBRFUZSCTAXaSv6wbRt07ixbeb3wgvykVsh6wBjWJEdFRbFr1y5LD8fsRjUZJW80g4G+A5/cwNZWppBrtbB8uUwjzy+EAH9/2crL1hbWrIGGDZl/aD4JqQk0LNcQT3dPk5w6JCQkfY1x5kMThIeHExISYpLzW5rWSounuyd+DfzwdPfk554/07BcQ27E32Bg0EBSdalP7lSypOxw4OGBQ2oqm4GOhaSSV8SyeUQ4gVYPzdsOyHLbpCQYPBi++ELe/+QTCAgAe3szDFRRFEVRLOy5Au1p06ah0Wjw9/d/4jkhBN27d0ej0bBmzZpHnrt69So9e/bEwcGBsmXL8t5775GWlvY8Q1EKsr/+gp49IT5e5h5u2iRbeRUytra2eHt7A4UzfdzljgskAaXAuqZ15hs1awYffCBvv/463L5ttvE9l2++gVmz5O0//oD27UnTp/HTfz8B4N/KH42JArmoqGy2usrmdvmdg40DQQOCcLJz4p+r//Dxto8z39DJiYTgYDYDRYGWn30GGzaYc6gWsW+bzLBoaF0RR1vHp25365bstBgYKMsnLFggA+5sZporiqIoSr6X6//lHThwgLlz59KwYcNMn58+fXqmHwx1Oh09e/YkJSWFPXv2sGjRIhYuXMjkyZNzOxSlIAsMhP79ITlZfl+7Fh5PGS5EDOnjQUFBJCUlWXg05rV6+Wo4Jm//fuz3p284ebJsyXTjBkw0Tbq1Uf3xh6ycDvDjjzK3Flhzeg3hseGUcSiDXwM/k53exSWbra6yuV1BUMO5Br/3le+x7/d+z+pTqzPdLuzCBXoDG21t0SQlQd+++SuTIqcuXGBfgqy23rp2p6dudvasrCz+77/ymuimTfCKcbrSKYqiKEq+katAOy4ujsGDB/Prr7/K9jqPOXLkCP/73/9YsGDBE89t3ryZkydPsmTJEho3bkz37t35/PPPmT17NikpKbkZjlJQ/fqrzDs0rF1dsQLs7Cw9Kovy8PDAzc2N2NhY1q9fb+nhmE1ycjKrVq2CUHl/zek1XI+7nvnGdnYyhdzKCpYulRdn8qqNG+G11+Ttd9+V6eMPTN83HYCxzcdib226XFsPDw9cXV2fOmOu0Whwc3PDw8PDZGPIi7zqePF2a9n6bMSfI7hw58IT2xw+fJgU4Kd27eQFktRU8PGR+dEF0ZIl7HWVN9vU7JjpJrt3yyD7wgVwd5elNTp0MN8QFUVRFCWvyFWgPW7cOHr27EmnTk9e0U5ISGDQoEHMnj2b8uXLP/H83r17adCgAeXKlUt/rGvXrsTGxnLixIlMz5ecnExsbOwjX0oB98MPMHq0XLs6dqwsWWv9lHThQsTKyiq9rVVAQf0wn4lNmzZx7949Kmgr0KpiK9L0afx+OItZ7ZYtZeAK8v1z9655BpoTBw+CtzekpckLSt988/Cpawf5N/xfbKxseL15zvoU55RWq2XGjAetrjIJtoUQfP3112i12ieeK+imdZpGW7e2xCbH4r3Sm8TUxEeeN7T2atismbyoM2LEwwuD8+ebf8CmJAQpAYsJrSDvtnZt/cQmixfLdPG7d2WwvX9/ge+8qCiKoihPleNAe9myZRw6dIivv/460+ffeust2rZtS9++fTN9/vr1648E2UD6/evXM5+h+vrrrylevHj6l5ubW06HreQXQsDUqfDOO/L+++/Dzz+rhX0ZDBo0CIB169Zx7949yw7GTAwXFXx9fRnbfCwAvx76Fb3QP32nqVOhVi2IioK33jLHMLPvwoWHdQc6dZILWDO8x2fsl4HvwPoDcSlm+pRtLy8vgoKCqPhYFX9DcL1x48b0CuQFjU4n+zsHBsrvGYur22htWOG9gjIOZThy/QgTNkx4ZF9DT/vGjRvLIny//QZvvCH/jo0aBTNnmu11mNz+/RyNu0CyNTjbl6J6qerpTwkBU6bAsGFyUn/AAFmvsmxZyw1XURRFUSwtR9FLeHg4EydOZOnSpdhnUjZ07dq1bN++nenTpxtrfAB89NFHxMTEpH+Fh4cb9fhKHiGEnIWcMkXe/+ILmDYNCkk13+xq2LAh9erVIyUlRaZTF3BxcXGsfZD+7efnh089H4rbFefSvUtsvbj16Tva28sAVqORGRF5JdX+xg3o2lV+b9z4YaXxB6LuR7H8+HJAFkEzFy8vLy5fvsyOHTsICAhgx44dbNu2Da1Wy5IlS1i4cKHZxmIuwcEyvbl9exg0SH53d390mXVFp4oEvhyIBg3zD89n4ZGFAKSlpXHsmCwakN7ay8pKFrUzZFNMnCj/hhUES5aw98E17tZubdKzH5KTZYA9dap87sMPYdkyKFLEQuNUFEVRlDwiR4F2aGgoN27coGnTplhbW2Ntbc2uXbuYOXMm1tbWbNmyhQsXLlCiRIn05wFefvllPD09AShfvjzR0dGPHNdwP7NUcwA7OzucnJwe+VIKGJ0OxoyRKeMAM2bIXjAqyH6CRqNJL4pWGKqPr127lsTERKpXr06zZs1wsHFgaMOhAMwNnZv1zm3bPpzNHjNGtoezpLg46NXr4QLWDRtkz+wMfjn4C6n6VF5we4FmFZqZeYBawBPwAzx58cV2fPbZZ4BcMnTy5Ekzj8d0goNl5v7jnc0iI+XjGYPtjlU78ll7+XN4ff3rHL1+lLNnz5KUlISjoyPVqz+c3UWjgW+/hU8/lfc/+kgW6MvPGQGpqbBsGfserM82pI3fvi27Li5ZIif0f/0Vvv5aJSApiqIoCgAiB2JjY0VYWNgjX82bNxdDhgwRYWFhIioq6onnATFjxgxx8eJFIYQQf//9t7CyshLR0dHpx507d65wcnISSUlJ2RpHTEyMAERMTExOhq/kVSkpQvj5CQFCWFkJ8dtvlh5Rnnfp0iUBCI1GIyIiIiw9HJPq2bOnAMTkyZPTHwuLDhNMQWinasW12GtZHyA+Xojq1eX767XXTDzaLKSkCNG9uxyHs7MQZ848sUliaqIo820ZwRTEyhMrzTq8VauEcHWVwzN8uboKsXKlTnTu3FkAol69eiI+Pt6s4zKFtLQnX2vGL41GCDc3uZ2BTq8T3Zd0F0xBVJ9ZXcxbNE8Aom3btk8/0TffPDzo228Lodeb/sWZwtq1QoCo8rZWMAWx5cIWcfasEDVqyJfm5CTE5s2WHqSiKIqimF5O4tAcVZcqVqwY9evXf+QxR0dHnJ2d0x/PbFa6UqVKVKlSBYAuXbpQt25dhg4dyrfffsv169f5v//7P8aNG4ddIa8oXSglJckqvX/9JYudLV0q7ytZcnd354UXXuDff/9l2bJlvGNY017A3L59m02bNgGkF4EDqF+2Pm3d2rInfA+/H/mdjz2e0usYwMFBppC3ayfX0A4YIFO3zUkIWdxvwwaZU7t+PdSs+cRmgWGB3Ey4SaXilehXu5/ZhmeY3X180jUyEnx8rJg/fwVhYXU4ceIEEyZMYL6JCn2lpUFCAiQmGv8r43Hv35fL459GCAgPh5AQeJCMhZXGisX9F9NkbhPO3znPdze+AzKkjWfm/ffl++/NN2W2TkICzJ6d/6Z8lywh2hEuOenQoCHtSktae8OdO1C5snw716tn6UEqiqIoSt5i9jLOWq2WdevW8frrr9OmTRscHR0ZPnx4enqiUojExcm+s9u3y/W0q1ZBjx6WHlW+MXjwYP7991+WLl1aYAPtVatWkZaWRuPGjaldu/Yjz41uOpo94Xv49dCvfPjih1hpsghePDxksDNzpixSdfz4EynbJjVpEixcKPNrV6yAVq2e2EQIwfT90wEY32I81lbm+fOs08mlxJllNgshM6EnTSrBt98GM2zYKH777QguLpvx8Ohi9KA4Lc0sLznb3npLdu166SVo3hycHZwJ8gnixQUvcs76HLR+UAgtK+PHy2B75EiYM0e+0Pnz808XhZgY+PNP9rnLuxVt69G3mxMpKdCiheye95RVX4qiKIpSqGmEyH8Lx2JjYylevDgxMTFqvXZ+dfeuDKr37YOiReWMtmHqSMmWW7du4eLiQlpaGidPnqROAeyj4+npya5du/j222957733HnkuMTWRCj9U4F7SPTYM3kC36t2yPlh8PDRsCBcvyvXac+aYcOQZ/PKLrEQNchHryJGZbrbj0g46/NEBBxsHIt6KoGSRkmYZ3s6dsghYXmNvLyf/DV8ODo/ef56vY8dg+PCcj6d1a3nN5m71Wcy69CboYL7HfF7r/NqzDxAYCEOHyisbPj5yYbONTe5+OOa0YAG89hof+jjzTd3bEDoS/vqV/v3lS3BwsPQAFUVRFMV8chKH5pNL6kqBcuMGdOkCR49CyZKwcaPse6zkSOnSpenWrRvr1q1j6dKlfPHFF5YeklFFRkaye/duAAYOHPjE80VsijCs4TBm/jeTuaFznx1oOzrK1PH27WHuXJlC3rGjKYb+0OrVMG6cvD116lODbHjY0mt4o+FmC7IBQkOzt52dHRQrJrh//wbJyfewt4eGDWvg6Ghl9IDY3t60dRAbNJC1FiMjM5/J12hka6r334d//4Xdu+HWLXlRYudOgHHw8j/QYDn+/3yKTWxverUvS6lSWZzUz0++sIEDZVZDYqL8nkkHjzxl8WIA/irrBNyGiDa8+65s+57fMuAVRVEUxZzUjLZiXhERsm/wmTNQrhxs2SI/9Sq5smzZMvz8/KhSpQoXLlxIb7lTEPzwww+88847vPjii4SEhGS6zYkbJ6j/S320Gi1X37pKhWIVnn3gceNkb3Z3dwgLkxkVpvDPP/K9npws12fPmfPU6PHCnQvU+KkGAsGpcaeoXbp2ptsZS3w8rFwprzv880/29tmxQyadREVF0ahRI27evMnYsWP55ZdfTDpWUzGsS4dHg23DrygoCLy8Hj5/5owMuENCYNOmBG7G6GBUSyhzGi50giUbqV9Py0svyVlvDw94rC25tHEj9O8v61N07gxr1uTdaeGrV6FyZdKswPbDIgjbRCaXPsHUcXUtPTJFURRFsYicxKHqerRiPhcuwIsvyk+sbm7yU6sKsp9L7969cXR05NKlS+zbt8/SwzGqwMBA4NEiaI+rV7YeL7i9gE7oWHB4QfYO/M03soLT5cuy6a8pnDwJvXvLILtPH1kAK4uLILP+m4VA0K16N5MF2ULAgQMwdiy4uMArr8gg28oq60lVjUb+c/XwkPddXFxYsmQJGo2GOXPmsGLFCpOM19S8vGQw/Xgw7Or6aJAN8mdQu7a8XrJ4MYwf/z2k1KfJeR+s9Q5QbSt4TuX4cXkNx89PHqdaNflzXrAAzp9/ENB36yaL4jk6yguN3bpBbKxZX3t23f4pAICFZZshbBNx1Bbn0zdMexFIURRFUQoKFWgr5nHihPykfuUKVK8uP+FnUnVZyRlHR0f69+8PFKye2ufOnePgwYNotVoGDBiQ5bZjmo0B4NdDv6LT65598KJFZTEqkAGwzAU2nogIGTzduwdt2si1uVkUvopNjuW3w78B4N/K37hjQVaG/uknaNxYrtCYO1dW3a5WDb76SlbXXrpUBpOPXwsw3J8+XdZxM+jSpQsfffQRACNHjuTChQtGH7c5eHnJ6y07dkBAgPx+6dKjQXZmDh8+DFxlaNcSLPL+VT7Y7nM+WbiBiROhaVN5AePiRVkD77XXoEYNqFBBZo7PPuHJ+V+2IIoXl1PknTvLX1Qe8u8/gps/yrTx5TVlcP2Ce6usiw4qiqIoipJO/R9TMb3QUNlaKSpKzmCHhEClSpYeVYExePBgAJYvX05qaqqFR2Mchtnszp07U6ZMmSy39a7rTUn7klyNucqmC5uyd4JOneT0JMgoKKteTzlx7x507y6j19q1ZZG/Z6QF/374d+6n3KdO6Tp0qdbFKMPQ62Ux/0GDZHA3YYIsAGZvD4MHy4Dy7Fn46CP5fE5mdw2mTp3Kiy++yP379xk4cCDJyclGGbu5abUyJd7PT37PeEHhaY4cOQLI1l6DGgzi9eavA/BL9BDennqV0FAZN//9t/wZv/AC2NrC9etyWfb48VBjWBs8dduJtXGG//4jvnUHUiNvmOx15sSyZfBWh6PU1p0kWWNHyVflBazWFVtbeGSKoiiKkn+oQFsxrZAQWXzq9m05nbZzp+oFY2SdOnWiTJky3Lp1i61bt5rsPDqd/PUFBsrvumxMHueGEIKAAJmymlXauEERmyIMbyRLSM8LnZf9E333ncyJvnhRVsZ6XklJ0K+fbB3m4iLX4jo7Z7mLTq/jp/9+AmBCqwnPvcY+MhK+/FImjXTsKH9XycnQqBHMmgXXrslK0Z6eTxayyunsrrW1NYGBgTg7OxMaGsr777//XGPPL+7evcvly5cBaNSoEQA/dv2R5hWacyfxDgNWDiBFl0Lx4vKay1dfyQSee/fkv5vPP5cT2I6OsDuuKW1Td3KdcjieO8oFt3b4vHiNqVPlhZKEBPO+NiHk+8fPDwamytlsbd/eHL1/CIDWrirQVhRFUZRsE/lQTEyMAERMTIylh6JklJYmxI4dQgQEyO/r1wtRpIgQIES7dkLExlp4gAXX+PHjBSAGDx5skuOvWiWEq6v8VRq+XF3l48Z26NAhAQh7e/ts/xs/eeOkYApCO1UrImIisn+yjRvli9FohAgJyeWIhRA6nRADBshjOTkJceRItnb78/SfgimIktNKirjkuFydOiVFiNWrhejVSwgrq4e/HycnIV5/XYiDB4XQ63N16GxZt26dAAQgVq9ebboT5RHbt28XgHB3d3/k8Ut3L4mS00oKpiDe/PvNZx4nNVWI//4T4n//E2Jsx7Mi3MpNCBDnqSoqc0mAEDY2QrRuLcT77wuxbp0Qd++a6EUJIZKThRgxQr53rEgTMY7lhQBxK+gPwRQEUxC3E26bbgCKoiiKkg/kJA5VgbZiHJlFYoav7t2FSEiw9AgLtL179wpAODo6iri43AVsT7NqlYxDH/+1ajTyy9jB9nvvvScA4e3tnaP9PBZ4CKYgpu6cmrMTvvqqfEE1aggRH5+zfYWQUeyECSI9Mtq2Ldu7dljUQTAF8f7m93N82jNnhPjgAyHKlXv09/LSS0IsWpS7l5Jb7777rgBEiRIlxKVLl8x3Ygv44YcfBCD69+//xHPrzqxLD0oDwwJzdFzdxcsi2bWqECBuOriJF8udzfTfXKNGQowfL8SKFUJEReV8/I9fD01LE+LOHSHat38QZFsJsXb8JnmnVCmx/sQawRRErZ9q5fxkiqIoilLA5CQOVanjyvMz9MmJiMj8+REjZHNcxWRatWpFtWrViI+P588//zTacXU6mDgx817Dhsf8/Y2XRq7X61m2bBmQvbTxjAxF0eYfmp+9omgG//ufXKh87hxMmpSjcwIyBX3mTHn7jz+gQ4ds7XYs+hjbL21Hq9EyruW4bO2TkCCrXrdrB7VqyQLq0dEPez6fPg27dsGwYebtGPXVV1/RqlUr7t27h6+vLykpKeY7uZnJQmjQuHHjJ57rWbMnH7/4MQAj147k1M1T2T6uVZXK2O7bDbVrUzohnN2alwjfeOKRYmpCwNGjchmAj49coVCzpnx+0SK5CiKrhp3BwbKrXfv2cv1++/ZyHX6DBnKpQNGisqxA75glcoeBA9kXLRutq7RxRVEURckhMwT+RqdmtPOQtLSnz2QbpmDc3OR2iklNmjRJAKJnz55GO+aOHU//1Wb8mjbNOGmtu3fvFoBwcnISiYmJOdo3MTVRlPqmlGAKYt2ZdTk78bp1D9+ve/Zkf78//nj4Q/jhhxyd8tU1rwqmIHxW+jxz29BQmQbu5PTwdFZWQvTsKdPGU1JydGqTuHTpkihRooQAxLvvvmvp4ZhMgwYNBCDWrl2b6fOpulTRfmF7wRRE3dl1c74kIDpaTluDEM7O8pf/QFSUnMkeP15uklmmScWKQvj6CvHzz0KEhclVDUI8PTPF8FWq1IMVD3FxQjg6ygf37BGd/+gsmIKYc2BOrn5eiqIoilKQqNRxxXyyG4nt2GHpkRZ4p06dEoCwtrYWN2/efO7j3bghxMCB2fv1GmLU+vWFGDNGiMWLhbh4Medrg19//XUBiBEjRuRqzG9tfEswBdE7oHfOdx42TL6QWrWyt9Rh0yYhrK3lPm+/naNT3Yi7Iew+txNMQfx79d9Mt7lzR4hZs4Ro3PjRn3OVKkJ88YUQETlYim4uq1evTl+vvW5dDi925AOJiYlCq9UKQFy9evWp20XdjxIu37sIpiAGrxos9Dn9h3D7thAtWshfePHiT734c/euvEb0/vtCtGnz8O34eADdp488TFb/fitUeHA9dMkS+UC1akKnSxNOXzsJpiCORGWv7oCiKIqiFGQqdVwxn6go426n5Frt2rVp2rQpaWlprFixIlfHEAL27oWhQ2VK6fLl2duvQgW57/Hjsk/z0KFQtapsFzVggOzDfOAAZNV9LDU1lZUrVwI5Txs3GN1Mtuxaf2494THhOdv5xx9lRfwzZ2DKlKy3PXQIXn4Z0tJkiebvvsvRqeaGziVZl0yLCi1o49om/XEhZGXqoUPlz3T8eDhyRLaG8vODrVvh/HlZJP3xVlx5Qb9+/ZgwYQIAw4YNI+Jpy0nyqePHj6PT6XB2dsbV1fWp25UvWp7l3svRarQsDVvK3NC5OTtRqVLyl+3hATExskx5Jv3eS5SAnj3lEoI9e+Sm27fLt2/HjnLFzp07sHatfC4r167JJhEseZA2PmQIp26dJjY5FkcbR+qVrZez16AoiqIohZwKtJXn4+Ji3O2U52Loqb106dIc7RcfD/PnQ7Nm0Lat/KydkgJNm0LJkvC0rlMajeyQdfWq7BG8ahW8/Ta0agU2NvL6SlAQvPWW7O5WooRcwjxpkux+lfHD/9atW7l16xZly5alQzbXOT+udunatKvcDr3Qs+DwgpztXKqUvEoA8P338N9/mW938aLs2xQXJ1/M778/2SsrCym6FH4+8DMAE1tNRKPREBUFX38t19u2by9//klJcu3sjBkyCAoIkMFTDk5lEd9++y3NmjXjzp07+Pn5kZaWZukhGU3G/tnPasXmUdmDaZ2mATBx40QOXjuYs5M5OcGGDTLIjo+X77mNG7PcxcFBvn8+/VTG6TExsG+fvEiTHXdPXYfNm+WdwYPZF7EPgJYVW2JtZZ2z8SuKoihKIZfHP7IpeZ6Hh2wI+zSGSMzDw3xjKsR8fX3RaDTs2bOHS5cuPXP7s2dlEFyxIowaBYcPg52drF/3338QGioDcHgy2Dbcnz4dtFooV072XP7f/+SH+5gYWZjrq6+gRw8ZZCckyKJLX3wh44aSJaFhQ3j9dfjyy8tAZQYM8MHaOvcf6g2z2vMPzydNn8Mgr08fWSVKr4dXXpFNqDO6eRO6doUbN2Rz6tWr5Q8sB1aeWElUXBQuRV0ocmkAffvKfyIffyxnq4sVg9Gj5c//6FGYMOGZ7bjzFDs7O5YvX46TkxP//PMPn376qaWHZDRZFULLzDtt3qFf7X6k6FLwXuHNncQ7OTuho6Ocju7dW1556dMH1qzJ9u42NvKi1+jR2du+wYll8r3fujXUqMHeiL2AKoSmKIqiKLlihlR2o1NrtPOQgICsF+2aov+TkqUOHToIQHz55ZeZPp+aKgtode786K+ralUhvvtOiFu3ntwns+5tbm45+9XqdEIcPy7E3LlyOXTVqpm/bUqXThIDBggxfboQBw7I8eZEUmqScP7GWTAFsfZ05gWrsnTrlhBly8rBfPjhw15If/8tRPPm8vHKlYW4di3Hh9br9aLBzOaCKYiiPb545HW/8IIQv/8ua1EVBMuXLxeA0Gg0YtOmTZYejlG0bdtWAGLp0qXZ3udu4l1RdUZVwRREr4BeQqfX5fzEKSkP+7RrtfL9mAOGmpVPK4ZmqFmpb9pUPjBrlhBCiHqz6wmmIP48/WfOx6woiqIoBZAqhqaYx5kzQhQtKj+YeXs/fySmGMVvv/0mAFG3bt1HijBdvy6LaLm5PfoBu1cvGUPqnvH5P7P+u88rKkqIoCAhevY8I2CfgJQnggAHByE6dBBi0iQhNm4U4t69Zx/3nU3vCKYgei7NZQX2VauefgGpaFEhTp/O0eESEmSNqSZ9/pV9lv/PTuBwQ5QpI8S77wpx6lTuhpnXjR07VgCiTJkyIjIy0tLDeS5paWnC0dFRAOLEiRM52vfQtUPpxe++Dvk6dwNITX1YsE+jEeK333K0u6Hq+OPBtuGxzdNPyAesrYW4eVPcS7wnNFM0gimI6Ljo3I1ZURRFUQoYFWgrppeQ8LAFTbt28kOgKSIxJcfu3bsn7OzsBCAOHTosQkJkux8bm4cfrp2dhfjgA1kZPC/o37+/AMQ770wSO3fKCwLdu2deKVmjEaJhQ9nuaskSIS5ffrK6+ZlbZwRTEFZTrcSVe1dyPqCsAm3I9gWkw4eFGDdOiBIlHuw6YIBgCsL1jddEUJAQyck5H1p+kpiYKBo1aiQA4enpKdLy8d+E06dPC0AUKVIkV69jfuj89Pfk9ovbczcInU6IsWMfvg9/+ilHu2eZmfLRR/KB3rJi/+bzmwVTEFVnVM3dWBVFURSlAFKBtmJ6Y8bID2VlygiRz2eqCqK+fQcLGCNKl772yIfq1q1l6+cctqg2qYwXBo4ePfrIczqd7AU8Z44QQ4fK1laZxb0VKwrh4yPEjBlCHDwor/t4LvQUTEFM3j45ZwN6zt7w9+7JHsbNmj02xrpXhNUUrWAK4tj1Y7n9ceU7Z86cSZ8J/vTTTy09nFxbtmyZAESrVq1ytb9erxcj1owQTEGU/a6siIzN5d9NvV62kzO8sb75Jke7Z3o9VKcTolIlebzly4UQQny28zPBFMSgVYNyN05FURRFKYBUey/FtAIDZXVmjUaWR65QwdIjUh44eRLefBM2b/4dmMOtWy4UKSJ47TVZ2MzQusve3tIjfWj16tUkJydTt25dGjRo8MhzVlZQvz6MGQN//CELfl+7BitXgr8/tGgB1tYQGQkrVsDEidC8uSy8dnPDGABm753PnXs5KIoWEgJZtaUSAsLDH/RCevhQSAgMHy4L7L/xhvx529qCj48s5Dzox9no0dGhSgcalGvw9OMXMDVr1mTug2run332Gdu3b7fwiHInp4XQHqfRaJjdYzYNyjbgRvwNfIN8c16sTx5IVsWfNEne/+AD2c9LiGztrtWCp6esRO7pKe/zzz+ydYCTkyy8BuyLlBXHM7afUxRFURQl+1SgreTM2bMPS9h+8gl06WLZ8SikpsoWWh06QL16MGsWJCbaYGV1HvBn+fJ/mT9fturKiwICAgAYNGjQM1smgQxkvb1l2+v//oN792Ql888/h27doHhx2Q3pRFB/iC/N7dRrlG6znsaNYdw42Sbr6tUsTpCD3vDR0fDtt1C7Nrz0krwYkJgofw8//igvACxfDm3bxfPr4XkA+Lfyz97xC5DBgwfz2muvIYRg8ODBREdHW3pIOWYItJs0aZLrYzjYOBDkE0Qx22KEXA3hk22f5O5AGg189pnsCQcwdSq8/362g+0nLF4sv3t7Q5EiCCHSW3upiuOKoiiKkjsq0FayLzFRTs/FxUG7drJZq2Ix167Jz9fu7jBggAw2raygXz85gzpixDfADNauXWThkT5ddHQ027ZtA2RrstxwdJQzc//3f7Lt8J07cOwY/DLLjjrJrwAgms7j6FH4+WcYPBgqV5YttXx94aef4NAhSG/3nM2e7/832wVXVzmhePasHMfIkTJrICxMzriXLi23XXxsMfeS7lGtZDV61uyZq9eZ382cOZN69epx/fp1hg4dil6vt/SQsk0I8dwz2gY1nWuyoK/s8f7tnm/58/SfuT/Yhx/KRusgZ7nHj5ftuXIiKUmmiIBMdwHO3TnHncQ72Fvb07Bcw9yPT1EURVEKMRVoK9n31luysW/ZsjJ9/Dl6HSu5IwTs3Cmvd1SuLDNGr12Tv5JPPoFLl2Rr586dYciQQQAEBQWR/Hg/6Dxi5cqV6PV6WrZsSbVq1YxyTCsraNAAxo6FPyePAkBTcwOzl1xJTy3XamV2+PLlsk91s2ayp3enTjB1uwcxTq7oyXx2XY+Gq7jx9b8epKVBmzay13hUFPz6q2xBnHFiXi/0zNgvg6EJrSZgpSmcf3YdHBxYsWIFRYoUYcuWLUybNs3SQ8q2qKgobt68iZWV1RPLG3LDu643b7V+C4Dha4Zz4c6F3B9swgT5xtNo5JWk114DnS77+69bJ5veu7rKtAxIn81u5tIMW61t7semKIqiKIVY4fzEp+Tc4+uysznrpxhHbCzMni3XK7dvLyeg0tLgxRcfpkJ/8QVUqvRwn5deeokKFSpw7949NmzYYLnBZyFj2rgp1HCuQYcqHRAIolzmM306HDgg44pt22T2bdeucmlqXJx8bMrnWl6JlYHx48G24f7bmum8OVHL8eOwZ4+MbYoVy3wMWy5s4fSt0xSzLcaIxiNM8jrzi7p16zJ79mwAJk2aREiGde552ZEjRwCoXbs2Dg4ORjnmN52+oa1bW2KSY/Be6U1iamLuDzZypEz/1mph4UKZtpGamr19lyyR3wcPllepgL3hewG1PltRFEVRnocKtJVny7gu+//+T06XKmZx/LgsrFWxoswKPXlSpiiPGQNHjsgCXH5+YGf35L5arRY/Pz8Ali5dat6BZ8Ply5fZu3cvVlZW+Pj4mOw8Y5rJomi/Hf4tvfiUo6Nc0z5pEmzcKNPNDanlnTrBarzwJohIKj5yrAhc8SaIVcKLfv3kWuxnmb5/OgCvNXkNJzsnY760fGnEiBHpqeN+fn7cunXL0kN6JmOljWdko7VhufdySjuU5sj1I0zcOPH5Djh4sKwIaGMjUzUGDIBnZbLcvg1//y1vP0gbh4eF0NT6bEVRFEXJPRVoK1nLuC7b01OtyzaDlBT5Ofmll2QK9C+/yB9/7dowc6YssDVnDjRq9OxjDR48GIC//vqLmJgYE488Z5YtWwaAp6cnLibMkOhXux9lHMoQFRfFurPrMt1Gq4WGDeH11+HVV+Vjq/HCnct4sgM/AvBkB1W4xGq8gOzVTDt96zQbz29Eg4Y3W71prJeUr2k0Gn7++Wdq1apFZGQkw4cPz/PrtY1RCC0zrk6uBHgFoEHDr4d+ZdGR56yn4OUFa9bItgJ//gl9+kBCwtO3X7FCznw3bpx+1Sg+JZ5j0ccAFWgriqIoyvNQgbaStYzrsgMCHvSCUUwhIgImT5Zrr3195Wy1Vgsvvwzbtz9s3VW8ePaP2bhxY+rUqUNycjLBwcGmG3wumDpt3MBWa8srjWVRtLmhc5+5fcaYX4+WXXiyDD924YkebabbPc3M/TMB6FOrD1VLVs3ZwAuwokWLsmLFCuzt7fn777/54YcfLD2kLBlSx405o23QuVpnpnpOBeD19a+nB7m51qOHnKV2dJRVEbt3h/v3M9/WUG08w2z2gWsH0As9bk5uVHSqmPl+iqIoiqI8kwq0ladT67JNTgi5LtjLS1YP//xzuH4dypeXQfeVK7J1V/v2jxbYyi6NRpMeyBoC27zgxIkThIWFYWNjg5eXl8nPN6qZLIq26fwmLt+7nOW2Hh6yLtTTft4ajaxY7uGR9TnvJt5l0VE5Q+nf2j+HIy74GjZsyIwHFbM/+ugj9u3bZ+ERZS4mJoYLF2SxMmPPaBt88tIndK3WlcS0RLxXeBObHPt8B2zfXgbZTk6we7dc7nP37qPbXLggS+RbWcn1Jw+otl6KoiiKYhwq0FYyp9Zlm9S9e7IrT506D9YEr5aFgtu1k9mcV6/K1l0VjTChZAi0t2/fTlR2e0SbWGBgIADdu3enZMmSJj9f9VLV6VS1EwLB/EPzs9xWq33YMenxYNtwf/r0Zyd3zD80n4TUBBqWa0i7yu1yN/ACbtSoUQwcOJC0tDQGDhzI3ceDwTzg2DE5w+zm5oazs7NJzmGlsWKJ1xLcnNw4d+ccr62VPcefS9u2MhWmVCnYv18WJbh5U/6h2blTtgYD6NjxkYuoKtBWFEVRFONQgbbyJLUu22SOHJHXLypWlH2Wz5yR1arHjZOFz3bulDWMbGyMd86qVavSpk0b9Hp9+rpoSxJCpAfapk4bz2h0U3nh6LfDv5Gqy7ois5eXzCR4/EKHq6t8/FmT8Gn6NH767ycA/Fv5o8lNOkIhoNFomDdvHtWqVePq1au88sorzx9gGpkpCqFlprRDaVYMWIGNlQ1BJ4PSlx08l2bNYNcuKFdO/vFp0kSmY7RvL9/IAKGh8GBZiRCCvRGq4riiKIqiGIMKtJUnqXXZRpWcDEuXwgsvyM+5v/4q6xPVqyerXEdGwqxZ2atgnVuGomh5ofr4f//9x8WLF3F0dKR3795mO2/f2n0p61iW63HX+evsX8/c3ssLLl+GHTvkP4MdO2Sf8uxkuq8+tZrw2HDKOJTBr4Hfs3coxJycnFixYgW2trb8+eefzJxphADTiExVCC0zrV1b878u/wPg3S3vsid8z/MftH59mT7u7Cz/2Dye1XL3Lnh7Q3Awl+9d5kb8DWysbGjiYvrXqyiKoigFmQq0lUepddnZZsjADAyU33W6R5+/cgU+/lhOIA0ZIvstW1vDwIFykiksTFa5flr/ZWPy8fFBq9USGhrKmTNnTH/CLBhms/v27Wu0nsTZYau15dXGsqR4doqigbzG5Okpl7B6emb/mtOM/TL3fGzzsdhb2+ditIVL06ZN+d//ZID53nvvcfDgQQuP6CFTFkLLzPiW4xlYbyBp+jR8VvpwM/7m8x+0WrWnp8kYMgj8/dl3VQb2TVyaqPetoiiKojwnFWgrD6l12dkWHCyLl7VvD4MGye/u7jIbc9Mm6NsXqlaFr7+WyyIrVoTPPoPwcFi2TLbuMmc2cZkyZejSpQtg2aJoOp2O5cuXA+ZNGzcwFEXbfGEzl+5eMsk5Dl47yL/h/2JjZcPrzV83yTkKonHjxuHl5UVqaioDBw7ME+3oUlJSOHHiBGCeGW2Q6fS/9v6VWs61iLwfyeDgwej0umfvmJWQEFll8WmEgPBw9h2QKeQqbVxRFEVRnp8KtBUpMVEuDlbrsp8pOFhmWkZEPPp4RIT8EXbrBmvXgl4v6wytWiVTkCdNktXELSVj+ril1sHu3LmT69evU6pUKTpb4EJO1ZJV6VxVnvfXQ7+a5ByG2Wzf+r64FFMZIdml0Wj47bffcHd35+LFi4wcOdLi67VPnjxJamoqJUqUoHLlymY7bzG7YqzyWYWDjQNbLm7h892fP98Bs1kEce+tI4AqhKYoiqIoxqACbUXy94djx9S67GfQ6WDixIfZlpnRaGS/61OnYOtWuabX2tp8Y3waQ6r2hQsX+O+//ywyBkPauLe3N7a2thYZw5hmYwBYcHjBM4ui5dS1+9dYflzO2E9sNdGoxy4MSpQowfLly7G2tiYoKIg5c+ZYdDwZC6GZu6BdvbL1mNtLLnH4bNdnbDy/MfcHy8YSoERrOJxyBVCBtqIoiqIYgwq0FRlYz5un1mVnQ0jIkzPZjxNCBte1a5tnTNlVtGhR+vXrB1imKFpycjKrVq0CwM/PcgXC+tTqQznHckTHR7P2zFqjHvuXA7+Qqk/lqVq8SQAAKldJREFUxUov0qxCM6Meu7Bo2bIl33zzDQBvvfVW+hppSzBnIbTMDGk4hLHNxiIQDAkewtWYq7k7UDaawx9uVJY0oaN80fJULm6+2XtFURRFKahUoF3YnTkDY+QMn1qX/WwhIdnbLo+0q36CYV308uXLSUtLM+u5N27cyL1796hYsSIeHh5mPXdGNlobXm2Ss6Jo2ZGUlsScUDkDq2azn89bb71Fr169SE5OxsfHh/v371tkHOYuhJaZH7v9SDOXZtxOvI3PSh9SdCk5P0g2msPvHdUdkLPZqh2doiiKojw/FWgXZqpfdrbt2QNdu8LkydnbPq8mBXTp0oXSpUtz48YNtm3bZtZzG9LGBw4ciNbCSxNGNR2FBg1bLm7hwp0LRjlmQFgAtxJuUal4JfrV7meUYxZWGo2GhQsX4ubmxrlz5xg7dqzZ12vr9fr0QNtSM9oA9tb2rBywkhL2JdgfuZ/3Nr+XuwM9ozn8vlLxALSuqNLGFUVRFMUYVKBdmKl12c+0ezd06iR7YG/eDFZW4OCQZQYmbm4yUzMvsrGxwcfHBzBv+nhcXBxr18o0bUumjRtUKVmFLtVkFXZjFEUTQqQXQXuz5ZtYW+WBRfn5nLOzM4GBgWi1WgICAliwYIFZz3/p0iXu37+PnZ0dtS28DqRKySr80e8PAGb+NzO9DkCOZdEcfl/EPgDauKmK44qiKIpiDCrQLqzUuuynEgK2b5eT/O3awbZtspjZqFFw/jwsXiy3e0oGJtOn5+1rFobq46tXryYhIcEs5/zzzz9JTEykRo0aNGuWN9YuG4qi/X7k99yl42aw8/JOjkUfw8HGgdeavGaM4SnACy+8wBdffAHAm2++yfHjx812bsP67Pr162PztB7UZtS7Vm8+fOFDAEb+NZLTt07n7kCZNIePiI0gIjYCrUZLM5e88e9TURRFUfI7FWgXRmpddqaEgC1bZI/rjh1h1y6wsYGxY2WAPW8eVKnyzAxMvLwsM/7satOmDe7u7sTFxfHXX3+Z5ZyGtHE/P788s/6zV81elC9anhvxN/jz9J/Pdazp+6cDMKLRCEoWKWmE0SkG77//Pl27diUxMREfHx/i4+PNcl5LF0LLzOcdPsfT3ZO4lDi8V3gTn2Kcn4VhNrthuYY42joa5ZiKoiiKUtipQLuwUeuynyAEbNgAbdtCly7wzz9gZwfjx8OFC/DLL/B4C90sMjDzPI1Gk14UzRzp47dv32bTpk1A3kgbN7DR2qTPPj9PUbQLdy7w1xl5wWJCqwlGGZvykJWVFX/88QcuLi6cOnWK8ePHm+W8eaEQ2uOsrawJfDmQ8kXLc+LmCcauN87a9fS0cVeVNq4oiqIoxqIC7cJGrctOJwSsWwetWkGPHrBvH9jbyz7ZFy/CTz/J9dZPk0kGZr5hSB/fsGEDt2/fNum5goKCSEtLo0mTJhZf6/o4Q1G0bZe2cf7O+Vwd46f/fkIg6F69O7VK1zLyCBWAsmXLEhgYiJWVFQsXLuSPP/4w+Tnz4ow2QPmi5VnuvRytRsuSY0uMUmNgb8ReQPXPVhRFURRjUoF2YaLWZQMywF6zBpo1g9694cABKFIE3nlHzkpPnw4VKlh6lKZVt25dGjduTFpaGitXrjTpuTKmjec1lUtUplv1bgD8GprzgCU2OZYFh2WRLv/W/sYcmvKYdu3aMWXKFADeeOMNTp/O5RrlbIiOjiYqKgqNRkPDhg1Ndp7ceqnyS3zV8SsA3tzwJqHXQnN9rBRdSvr+KtBWFEVRFONRgXZhodZlo9fDqlXQpAn07w+HD4OjI7z/vkwD//57KF/e0qM0H0P6eEBAgMnOERERwe7duwHZ1isvGt1sNJC7omi/H/6d+yn3qVO6Dp2rFr5/U+b28ccf06FDB+Lj4/Hx8SExMdEk5zGkjdeoUYOiRYua5BzP672279G3Vl9SdCl4r/TmbuLdXB3n6PWjJOuScS7iTPVS1Y08SkVRFEUpvFSgXRgU8nXZOh2sWAGNGoG3Nxw9CsWKwccfywD7m29kJn1hYyhMFhISwpUrV0xyjuXLlyOEwMPDg0qVKpnkHM+rV81eVChWgZsJN1l9anW299Ppdcz8byYAE1tNzDNF3goyrVbL0qVLKVu2LGFhYfj7+5vkPHk1bTwjjUbDwn4LqVKiCpfvXWbYmmHohT7Hx8mYNq7ew4qiKIpiPCrQLgwK6bpsnU6+3AYNYOBAOH4cnJxg0iQZYH/5JZQubelRWo6rqyvt2rUDHqZ3G1teThs3sLayzlVRtPXn1nPx7kVK2pdkaKOhphqe8pjy5cuzdOlSNBoN8+bNY9myZUY/R14shJaZEvYlCPIJwk5rx7qz6/ju3+9yfAxDITSVNq4oiqIoxqUC7YKuEK7LTkuTva7r1oXBg+HUKShRAqZOhStX4LPPoFQpS48ybzAURTNF9fGzZ88SGhqKVqvF29vb6Mc3ppFNR6JBw47LOzh7+2y29pm+bzogU88dbBxMODrlcZ06deKTTz4BYNSoUZw7d86ox88PM9oGTV2a8lP3nwD4ePvH7Ly8M0f7q4rjiqIoimIaKtAuyArZuuzUVPj9d6hdG4YNg7NnZUD9xRdyBnvyZBlwKw+9/PLL2Nracvz4cY4dO2bUYxtms7t06UKZMmWMemxjq1S8Et1rdAeyVxTtWPQxdlzegVajZVyLcaYenpKJTz/9FA8PD+Li4hg4cCBJSUlGOW5cXFx64J7XZ7QNRjYdyfBGw9ELPb5BvkTdj8rWftFx0Vy6dwkNGlpUbGHiUSqKoihK4aIC7YKqEK3LTkmB+fOhVi149VXZ+7p0aZg2TQbYn3wCxYtbepR5U8mSJenRowdg3KJoQoh8kTae0Zhm8qLUwqMLSU5LznLbGftmAPBy3ZdxK55FDzjFZKytrQkMDKR06dIcPnyY9957zyjHPXbsGEIIXFxcKFeunFGOaWoajYafe/5Mg7INiI6PxneVL2n6tGfuZ5jNrle2Hk52TqYepqIoiqIUKirQLqgKwbrs5GSYMwdq1IBRo2RrrrJl4bvv5O0PPpBFz5SsGdLHAwIC0OtzXkwpM0eOHOHMmTPY29vTr18/oxzT1HrU6EHFYhW5lXCL1aefXhTtZvxNlobJVHv/Vv5mGp2SmYoVK6b31J41axarVq167mPmp7TxjBxsHAjyCaKYbTF2X9nN/23/v2fuo9LGFUVRFMV0VKBdEBXwddlJSTB7NlSvDq+/DlevyrZcP/wgA+x334U82pEnT+rZsydOTk6Eh4fzzz//GOWYhtns3r17UyyfXO3IblG0uaFzSdYl06JCC1VAKg/o3r0777//PgCvvfYaFy9efK7j5ZdCaJmp6VyT3/r8BsA3/37D2jNrs9w+Y8VxRVEURVGMSwXaBU0BXpedmAgzZkDVqjB+PEREQIUKMHMmXLwIb70FDqomVY4VKVIELy8vwDhF0fR6fb5LGzcY2XQkVhordl7eyZlbZ554PkWXwuwDswHwb+2v2iHlEV988QVt2rQhJiYGX19fUlJy1g89o/w6o20woN4AJraaCMCw1cO4eDfzCw9p+jQOXDsAqEBbURRFUUxBBdoFSQFdlx0fL2erq1SRGfFRUeDqKme1L1yAN9+EIkUsPcr8zZA+vnLlyucKUgD+/fdfIiIicHJyonv37sYYntm4FXejRw25Zn1e6Lwnnl9xYgXX465ToVgFvOvm7UrqhYmNjQ3Lli2jZMmSHDhwgA8//DBXx0lNTeX48eNA/g20Ab7t/C1tXNsQkxyD9wpvktKeLBR3/MZxElITKG5XnNqla1tglIqiKIpSsKlAuyApYOuy4+Lg229lgP3OOxAdDZUrw9y5cP48vPEG2NtbepQFQ/v27XFxceHu3bts3LjxuY5lmM328vLCPh/+ggxF0RYdXfRIgCKEYMZ+WQTtjeZvYKu1tcj4lMxVqlSJhQsXAvDjjz+ydm3WadOZOX36NMnJyRQrVowqVaoYeYTmY6u1Zbn3cko7lObw9cNM3DDxiW32hsu08VaurbDSqI8CiqIoimJs6v+uBUUBWpcdGwtffw3u7rKg2c2bMtieP1+27Bo9GuzsLD3KgkWr1eLr6ws8X/p4amoqK1asAGDQoEFGGZu5daveDVcnV24n3ib4VHD643vC93Dw2kHsre0Z3Wy0BUeoPE2fPn3w9/cHYMSIEVy9ejVH+xvSxhs3boyVVf7+36NbcTeWei1Fg4Z5h+bxx9E/Hnl+X6QshNa6okobVxRFURRTyN+fJBSpgKzLjomRPa/d3eHjj+H2bVnwbOFC+RJfew1s1SSiyRgC47Vr1xIbG5urY2zdupXbt29TtmxZ2rdvb8zhmY21lTUjm4wEHi2KZpjNHtxgMGUc83Zf8MLsm2++oXnz5ty9exc/Pz9SU1OzvW9+LoSWmS7VuvBpO7mEaOy6sYRFh6U/l15x3E1VHFcURVEUU1CBdn5XANZl370LU6bItPBJk+T9WrVg8WI4dQqGDwcbG0uPsuBr1qwZNWvWJCkpiTVr1uTqGIa0cR8fH6ytrY04OvN6relrWGms2H1lN4uOLGLm/pkEnQwCSC80peRNtra2LF++HCcnJ/bs2cOkSZOyvW9+L4SWmUntJtG1WlcS0xJ5ecXL3E28y5+n/+Ts7bMANHNpZuERKoqiKErBpALt/C4fr8u+fVtOwFeuDFOnyhntunUhMBBOnIAhQyAfx2r5jkajSS+Klpv08YSEBFavlv2n82vauIGrkytNXZoCMOLPEUzcOBGBwE5rx7k75yw8OuVZqlatyoIFCwA5w71hw4Zn7iOESJ/RLkiBtpXGiiVeS3B1cuXcnXNU/KEi/Zb3S3++6bymjyyRUBRFURTFOFSgnZ9lXJe9dGm+WZd98yZ89JFMEf/yS7h/Hxo0gJUrISwMfH3z1fWCAsUQIG/dupXr16/naN/169cTFxeHu7s7rVvn73WfwaeCOXjt4BOPJ+uS8V7hrQKTfODll19m3LhxAAwbNozIyMgst79y5Qr37t3DxsaGunXrmmOIZlPaoTTjWsifRWJa4iPPRcZGqve0oiiKopiACrTzq4zrsidNgk6dLDseQKeDnTvljPTOnfJ+RtHR8N57MsCeNk1muzduDMHBcOQIeHtDPq8/lO9Vr16dVq1aodfrWb58eY72NaSN+/r65uv+0jq9jokbs04P99/oj06vy3IbxfK+//57GjduzK1btxg0aBBpaWlP3daQNl6vXj1sC1gxCJ1el97//XECAaj3tKIoiqIYmwpr8qPH12VPnmzpEREcLAPo9u1h0CD53d1dPh4VBW+/LSuHf/89JCRAs2bw559w6BD0768C7LzEMKsdEBCQ7X3u3bvH+vXrH9k/vwq5GkJEbMRTnxcIwmPDCbkaYsZRKblhb2/PihUrKFq0KLt37+azzz576rYFrRBaRuo9rSiKoijmp8Kb/GjixDy1Ljs4WM5GRzz2OS4yEl5+GSpVgh9/lNcHWraE9evhwAHo00dmvSt5y8CBA9Fqtfz333+cO5e99cirV68mJSWFevXq0aBBAxOP0LSi7kcZdTvFsmrUqMG8efMA+OKLL9i6dWum2xXEQmgG6j2tKIqiKOanAu38ZulS+PXXPLMuW6eTcb8QTz5neCwtDVq3ho0bYd8+6NFDBdh5Wbly5ej0YClCdme1DWnjfn5+JhuXubgUy96/qexup1ien58fo0aNQgjBkCFDMq0/UBALoRmo97SiKIqimJ8KtPOTPLguOyTkyZnszHz1FXTtqgLs/CJj9XGR2VWUDK5fv862bduAghFoe1TywNXJFQ2Zv1k1aHBzcsOjkoeZR6Y8j+nTp1O/fn2io6MZMmQIugxFJG7fvk14eDgAjRo1stQQTUa9pxVFURTF/FSgnV8kJsKAARAfn2fWZQNcu5a97XJYwFqxsH79+lGkSBHOnTvHwYNPVt/OaOXKlej1elq1akXVqlXNNELT0VppmdFtBsATgYnh/vRu09FaqdL4+YmDgwMrVqzAwcGBbdu28dVXX6U/Z0gbr1atGk5OTpYaosmo97SiKIqimJ8KtPOLiRNl76s8si47JQUWL85+vJ9POo8pDxQrVow+ffoAz04fL0hp4wZedbwI8gmiolPFRx53dXIlyCcIrzpeFhqZ8jzq1KnDL7/8AsCUKVPYtWsXULDTxg3Ue1pRFEVRzEsjnpUXmgfFxsZSvHhxYmJiCuTswxOWLoUhQ2Te9ebNFk0Zv3MH5s6Fn36S1cSfRaMBV1e4dMni1waUHPrrr7/o06cP5cuXJyIiAm0mv8BLly5RtWpVrKysiIiIwKWAXVHR6XWEXA0h6n4ULsVc8Pj/9u4+rOr6/uP463C4EQjIOxQ5onMlG5N06kouo5ufiiVSxpxeSzNzrplYmdOczWW2/bJZ86ddSbNd8yZzMmXaysssE1Q0m0rQ1Dl0aolyo2kIYgM9fH5/nDh1FE30nC93z8d1nT/4njff8/n45hx4+7mLSWTUrxkYO3asli1bpk6dOik3N1ejR4/Wpk2bNG7cOL3++ut1/qw3F/xMAwBw7epTh1JoN3YFBa6zsCorXcPHs2c3SDMOHJDmz5eWLnXNYpdco9SPPy516iQ98ojr2jd/mmrXY2dmSqkMljQ51dXVioqK0unTp/X+++9r0KBBl8TMmTNHzzzzjAYMGHDZ3ZyBxqayslJ9+/bVv//9bwUFBamqqsr9nMPh0IIFC5TKhxYAALhIfepQpo43Zg28LtsYKTvbdQxXbKz02muuJvXqJb3xhvTpp9KMGdLDD7uK6WjPGYlyOCiym7LAwED95Cc/keTaFK0uzXHaOJq/0NBQPfroo5LkUWRL0vHjxzV8+HCtWbOmIZoGAACaCUa0G7NHH3Ud5RUZKeXnW7bQubpa+utfpXnzXC9bKyVFeuopV81f1+7hTqdrF/LiYldTExOZLt7U5eTk6I477lBYWJhKS0sVHBzsfm7v3r2Kj49XQECASktL1bp16wZsKXD1nE6nunbtqmOXOTLBZrPJ4XDoyJEjzXoaOQAAqJ/61KH+FrUJ9dUA52XXtf46OFgaO9a1F1ts7JW/3253FeFoPvr376+YmBgdPXpU69atc49wS1+PZg8ZMoQiG01KTk7OZYtsSTLGqLCwUDk5ObqLDzUAAHANmDreGFl8XvaBA9LEia6p3s888/WI9AsvSIWFUnr6txfZaJ78/Pz04IMPSvKcPm6MUUZGhiSmjaPpKb6anRzrEQcAAHAxCu3GxqJ12Ve7/rptW5+8PJqQ2kJ7/fr1On36tCRp586dOnz4sEJDQ5WSktKQzQPq7Wp3x29uu+gDAADrUGg3Nj4+L7v2/OvevaX/+R/pnXdc11NSXIX3xx9LDz0kBQZ69WXRhMXHxys+Pl7nz5/X3/72N0lfn609bNgwhYSENGTzgHpLTEyUw+GQra7NJuRao925c2clJiZa3DIAANBcUGg3Jj5cl336tDRnjtS1qzRmjGuTs+Bg15TxggLp7bcvv8kZMGrUKEmu6eNOp1OrVq2SxLRxNE12u10LFiyQpEuK7dqv58+fz0ZoAADgmlFoNxY+Wpf9beuvFy6Uunf3ykuhGastqLds2aK0tDSVlJSodevWdZ6tDTQFqampyszMVPRF5xI6HA5lZmZyjjYAALguHO/VGHz5pXTbba4p43fdJX3wwXVNGTdG2rxZ+r//+3pquORafz1lijRyJFPDUT9r1qzRT3/6U1VXV7uvhYaG6o033qAgQZPmdDqVk5Oj4uJiRUVFKTExkZFsAABQp/rUoRTajYGXzsuu6/xrm00aOtRVYN95J1PDUX9r1qzR8OHDVddHhc1mY/QPAAAALQKFdlOyYoU0erSrAn7//WuaMn7qlOv861df9Tz/+pFHXHurMTUc18rpdKpr166XPXPYZrPJ4XDoyJEjjAICAACgWatPHepvUZtQl+tcl33ggDR/vrR0qWv2uSR16iRNmuS6bZs2Xm0tWqCcnJzLFtmS6zztwsJC5eTk6K677rKuYQAAAEAjRqHdUK7xvOza9dfz5knr1n19/Yc/dE0PHzGC9dfwnuLaKRJeigMAAABaAgrthlLP87Ivt/46JUV66inWX8M3oq5yv4CrjQMAAABaAgrthlCP87JZf42GlJiYKIfDoePHj192MzSHw6HExMQGaB0AAADQOFFoW+0q12Wz/hqNgd1u14IFCzR8+HDZbDaPYtv21RSK+fPnsxEaAAAA8A1+Dd2AFuVb1mUbI2Vnu6aDx8ZKr73m+pYf/lBavlw6ckSaMYMiG9ZKTU1VZmamoqOjPa47HA6O9gIAAADqwPFeVrrMedlXWn89ZYp0xx2sv0bDczqdysnJUXFxsaKiopSYmMhINgAAAFoMjvdqBJzVTu1Jz9G5Q8UK+W6UbmldKL+L1mXXtf46JEQaO5b112h87HY7R3gBAAAAV4FC2wc+enqNYuY9qV7Or88frtFXQ9K/+Y0OxAzU/ImXrr9+/HHXoDdTwwEAAACg6aLQ9rKPnl6jW18aLslzRr6fjIyk6cvj9dLzX1/n/GsAAAAAaF7YDM2LnNVOxcx7UpKp8x/WyKZJR6bIT07dd5+0ebOUmyuNHk2RDQAAAADNBSPaXrQnPcdjuvjF/GQUo0JteCZHg/73LusaBgAAAACwDCPaXnTuUPFVxYWWX10cAAAAAKDpodD2opDvRnk1DgAAAADQ9FBoe1H8xEQV2R1f7zB+kRrZdNzeWfETEy1uGQAAAADAKhTaXmQPtOvolAWSdEmxXft14ZT5sgfaLW8bAAAAAMAa11Vov/jii7LZbJo8ebIk6fTp03r88ccVGxur4OBgxcTE6IknntCZM2c8vu/o0aNKTk5WSEiIIiMjNW3aNF24cOF6mtJo9Jubqp3TMlVij/a4Xmx3aOe0TPWbm9pALQMAAAAAWOGadx3ftWuXFi1apFtuucV9raioSEVFRXr55ZcVFxenzz77TBMmTFBRUZEyMzMlSU6nU8nJyerYsaM+/PBDFRcXa8yYMQoICNALL7xw/T1qBPrNTZXzd/crPz1H5w4VK+S7UYqfmKhoRrIBAAAAoNmzGWNMfb/p7Nmz6t27t9LT0/W73/1OvXr10vz58+uMXb16tUaPHq3Kykr5+/vr3Xff1dChQ1VUVKQOHTpIkv74xz9q+vTpOnnypAKv4kDp8vJyRURE6MyZMwoPD69v8wEAAAAAqJf61KHXNHU8LS1NycnJGjhw4LfG1jbC3981eL5jxw7Fx8e7i2xJGjx4sMrLy7Vv374671FVVaXy8nKPBwAAAAAAjVG9p45nZGTo448/1q5du7419vPPP9dvf/tbPfroo+5rJSUlHkW2JPfXJSUldd5nzpw5mj17dn2bCgAAAACA5eo1ol1YWKgnn3xSK1asUKtWra4YW15eruTkZMXFxem55567njZqxowZOnPmjPtRWFh4XfcDAAAAAMBX6jWinZubqxMnTqh3797ua06nU1u3btWrr76qqqoq2e12VVRU6J577lFYWJjWrl2rgIAAd3zHjh21c+dOj/uWlpa6n6tLUFCQgoKC6tNUAAAAAAAaRL1GtAcMGKA9e/YoPz/f/ejbt69GjRql/Px82e12lZeXKykpSYGBgXr77bcvGflOSEjQnj17dOLECfe1jRs3Kjw8XHFxcd7pFQAAAAAADaReI9phYWHq0aOHx7XQ0FC1bdtWPXr0cBfZ586d05tvvumxcVn79u1lt9uVlJSkuLg4PfTQQ5o7d65KSko0c+ZMpaWlMWoNAAAAAGjyrvkc7bp8/PHH+sc//iFJuummmzyeO3LkiLp27Sq73a5169bpscceU0JCgkJDQ/Xwww/r+eef92ZTAAAAAABoENd0jnZD4xxtAAAAAICVfH6ONgAAAAAAqBuFNgAAAAAAXkShDQAAAACAF1FoAwAAAADgRRTaAAAAAAB4EYU2AAAAAABeRKENAAAAAIAXUWgDAAAAAOBFFNoAAAAAAHgRhTYAAAAAAF5EoQ0AAAAAgBdRaAMAAAAA4EX+Dd2Aa2GMkSSVl5c3cEsAAAAAAC1Bbf1ZW49eSZMstCsqKiRJnTt3buCWAAAAAABakoqKCkVERFwxxmauphxvZGpqalRUVKSwsDDZbLaGbg6+oby8XJ07d1ZhYaHCw8MbujnwAXLcvJHf5o8cN3/kuPkjx80fOW6cjDGqqKhQp06d5Od35VXYTXJE28/PTw6Ho6GbgSsIDw/nQ6GZI8fNG/lt/shx80eOmz9y3PyR48bn20aya7EZGgAAAAAAXkShDQAAAACAF1Fow6uCgoI0a9YsBQUFNXRT4CPkuHkjv80fOW7+yHHzR46bP3Lc9DXJzdAAAAAAAGisGNEGAAAAAMCLKLQBAAAAAPAiCm0AAAAAALyIQhsAAAAAAC+i0AYAAAAAwIsotHGJrVu3KiUlRZ06dZLNZtNbb73l8XxpaanGjh2rTp06KSQkRPfcc48OHjzoEXPo0CE98MADat++vcLDwzVixAiVlpZ6xBw4cED333+/2rVrp/DwcN1+++3Kzs72dfdavDlz5uhHP/qRwsLCFBkZqWHDhqmgoMAj5r///a/S0tLUtm1b3XDDDfrxj398Sf6OHj2q5ORkhYSEKDIyUtOmTdOFCxc8YjZv3qzevXsrKChIN910k5YuXerr7kHW5XjNmjUaNGiQ+32ekJCg9957z5I+tnRWvo9rbd++Xf7+/urVq5evuoWvWJnfqqoq/frXv1aXLl0UFBSkrl27avHixT7vY0tnZY5XrFihnj17KiQkRFFRURo3bpxOnTrl8z62dN7K8RNPPKE+ffooKCjosp+///znP5WYmKhWrVqpc+fOmjt3rq+6hXqg0MYlKisr1bNnTy1cuPCS54wxGjZsmA4fPqy///3vysvLU5cuXTRw4EBVVla6vz8pKUk2m01ZWVnavn27qqurlZKSopqaGve9hg4dqgsXLigrK0u5ubnq2bOnhg4dqpKSEsv62hJt2bJFaWlp+uijj7Rx40adP39eSUlJ7vxJ0lNPPaV33nlHq1ev1pYtW1RUVKTU1FT3806nU8nJyaqurtaHH36oZcuWaenSpXr22WfdMUeOHFFycrLuvvtu5efna/LkyRo/fjyFmAWsyvHWrVs1aNAgrV+/Xrm5ubr77ruVkpKivLw8S/vbElmV41plZWUaM2aMBgwYYEn/Wjor8ztixAht2rRJf/7zn1VQUKCVK1cqNjbWsr62VFblePv27RozZox+9rOfad++fVq9erV27typn//855b2tyXyRo5rjRs3TiNHjqzzdcrLy5WUlKQuXbooNzdXL730kp577jm9/vrrPusbrpIBrkCSWbt2rfvrgoICI8ns3bvXfc3pdJr27dubP/3pT8YYY9577z3j5+dnzpw5444pKyszNpvNbNy40RhjzMmTJ40ks3XrVndMeXm5keSOgTVOnDhhJJktW7YYY1y5CggIMKtXr3bH7N+/30gyO3bsMMYYs379euPn52dKSkrcMa+99poJDw83VVVVxhhjnn76afODH/zA47VGjhxpBg8e7Osu4SK+ynFd4uLizOzZs33UE1yOr3M8cuRIM3PmTDNr1izTs2dP33cIHnyV33fffddERESYU6dOWdgb1MVXOX7ppZdMt27dPF7rlVdeMdHR0b7uEi5yLTn+pst9/qanp5vWrVt7fG5Pnz7dxMbGer8TqBdGtFEvVVVVkqRWrVq5r/n5+SkoKEjbtm1zx9hsNgUFBbljWrVqJT8/P3dM27ZtFRsbqzfeeEOVlZW6cOGCFi1apMjISPXp08fCHuHMmTOSpDZt2kiScnNzdf78eQ0cONAd873vfU8xMTHasWOHJGnHjh2Kj49Xhw4d3DGDBw9WeXm59u3b54755j1qY2rvAev4KscXq6mpUUVFhft1YB1f5njJkiU6fPiwZs2aZUVXUAdf5fftt99W3759NXfuXEVHR6t79+6aOnWqvvzyS6u6hq/4KscJCQkqLCzU+vXrZYxRaWmpMjMzNWTIEKu6hq9cS46vxo4dO3THHXcoMDDQfW3w4MEqKCjQF1984aXW41pQaKNeaj8AZsyYoS+++ELV1dX6/e9/r2PHjqm4uFiS1K9fP4WGhmr69Ok6d+6cKisrNXXqVDmdTneMzWbTBx98oLy8PIWFhalVq1aaN2+eNmzYoNatWzdkF1uUmpoaTZ48Wf3791ePHj0kSSUlJQoMDNSNN97oEduhQwf3tP6SkhKPX+y1z9c+d6WY8vJy/oizkC9zfLGXX35ZZ8+e1YgRI7zcC1yJL3N88OBB/epXv9Kbb74pf39/H/cEdfFlfg8fPqxt27Zp7969Wrt2rebPn6/MzExNnDjRx73CN/kyx/3799eKFSs0cuRIBQYGqmPHjoqIiKhzeSB851pzfDWu5fc1rEGhjXoJCAjQmjVrdODAAbVp00YhISHKzs7WvffeKz8/149T+/bttXr1ar3zzju64YYbFBERobKyMvXu3dsdY4xRWlqaIiMjlZOTo507d2rYsGFKSUlxF+PwvbS0NO3du1cZGRkN3RT4iFU5/stf/qLZs2dr1apVioyM9OlrwZOvcux0OvXggw9q9uzZ6t69u1fvjavny/dwTU2NbDabVqxYoVtvvVVDhgzRvHnztGzZMv5D1EK+zPG//vUvPfnkk3r22WeVm5urDRs26NNPP9WECRO8/lq4PP7eapkotFFvffr0UX5+vsrKylRcXKwNGzbo1KlT6tatmzsmKSlJhw4d0okTJ/T5559r+fLlOn78uDsmKytL69atU0ZGhvr376/evXsrPT1dwcHBWrZsWUN1rUWZNGmS1q1bp+zsbDkcDvf1jh07qrq6WmVlZR7xpaWl6tixozvm4l0xa7/+tpjw8HAFBwd7uzuog69zXCsjI0Pjx4/XqlWrLlkuAN/yZY4rKiq0e/duTZo0Sf7+/vL399fzzz+vTz75RP7+/srKyvJt5+Dz93BUVJSio6MVERHhjvn+978vY4yOHTvmiy7hIr7O8Zw5c9S/f39NmzZNt9xyiwYPHqz09HQtXryYgQ2LXE+Or0Z9fl/DWhTauGYRERFq3769Dh48qN27d+v++++/JKZdu3a68cYblZWVpRMnTui+++6TJJ07d06S3CPctfz8/Dx2Jof3GWM0adIkrV27VllZWfrOd77j8XyfPn0UEBCgTZs2ua8VFBTo6NGjSkhIkORa87Vnzx6dOHHCHbNx40aFh4crLi7OHfPNe9TG1N4DvmNVjiVp5cqVeuSRR7Ry5UolJyf7uGeoZUWOw8PDtWfPHuXn57sfEyZMUGxsrPLz83XbbbdZ09kWyKr3cP/+/VVUVKSzZ8+6Yw4cOCA/Pz+PggDeZ1WOz507d8nfWna73d0G+I43cnw1EhIStHXrVp0/f959bePGjYqNjWU5ZkNrqF3Y0HhVVFSYvLw8k5eXZySZefPmmby8PPPZZ58ZY4xZtWqVyc7ONocOHTJvvfWW6dKli0lNTfW4x+LFi82OHTvMf/7zH7N8+XLTpk0bM2XKFPfzJ0+eNG3btjWpqakmPz/fFBQUmKlTp5qAgACTn59vaX9bmscee8xERESYzZs3m+LiYvfj3Llz7pgJEyaYmJgYk5WVZXbv3m0SEhJMQkKC+/kLFy6YHj16mKSkJJOfn282bNhg2rdvb2bMmOGOOXz4sAkJCTHTpk0z+/fvNwsXLjR2u91s2LDB0v62RFbleMWKFcbf398sXLjQ43XKysos7W9LZFWOL8au49awKr8VFRXG4XCY4cOHm3379pktW7aYm2++2YwfP97S/rZEVuV4yZIlxt/f36Snp5tDhw6Zbdu2mb59+5pbb73V0v62RN7IsTHGHDx40OTl5Zlf/OIXpnv37u6/0Wt3GS8rKzMdOnQwDz30kNm7d6/JyMgwISEhZtGiRZb2F5ei0MYlsrOzjaRLHg8//LAxxpgFCxYYh8NhAgICTExMjJk5c+YlR8FMnz7ddOjQwQQEBJibb77Z/OEPfzA1NTUeMbt27TJJSUmmTZs2JiwszPTr18+sX7/eqm62WHXlVpJZsmSJO+bLL780EydONK1btzYhISHmgQceMMXFxR73+fTTT829995rgoODTbt27cwvf/lLc/78eY+Y7Oxs06tXLxMYGGi6devm8RrwHatyfOedd17xswK+Y+X7+JsotK1hZX73799vBg4caIKDg43D4TBTpkzxKATgG1bm+JVXXjFxcXEmODjYREVFmVGjRpljx45Z0c0WzVs5vtzv2iNHjrhjPvnkE3P77beboKAgEx0dbV588UWLeokrsRnDvBEAAAAAALyFNdoAAAAAAHgRhTYAAAAAAF5EoQ0AAAAAgBdRaAMAAAAA4EUU2gAAAAAAeBGFNgAAAAAAXkShDQAAAACAF1FoAwAAAADgRRTaAAAAAAB4EYU2AAAAAABeRKENAAAAAIAX/T+qHaG7a2Gx7wAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fit1 = SimpleExpSmoothing(oildata, initialization_method=\"heuristic\").fit(\n", " smoothing_level=0.2, optimized=False\n", ")\n", "fcast1 = fit1.forecast(3).rename(r\"$\\alpha=0.2$\")\n", "fit2 = SimpleExpSmoothing(oildata, initialization_method=\"heuristic\").fit(\n", " smoothing_level=0.6, optimized=False\n", ")\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" }, "execution": { "iopub.execute_input": "2022-11-02T17:06:48.358699Z", "iopub.status.busy": "2022-11-02T17:06:48.358445Z", "iopub.status.idle": "2022-11-02T17:06:48.641936Z", "shell.execute_reply": "2022-11-02T17:06:48.640919Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fit1 = Holt(air, initialization_method=\"estimated\").fit(\n", " smoothing_level=0.8, smoothing_trend=0.2, optimized=False\n", ")\n", "fcast1 = fit1.forecast(5).rename(\"Holt's linear trend\")\n", "fit2 = Holt(air, exponential=True, initialization_method=\"estimated\").fit(\n", " smoothing_level=0.8, smoothing_trend=0.2, optimized=False\n", ")\n", "fcast2 = fit2.forecast(5).rename(\"Exponential trend\")\n", "fit3 = Holt(air, damped_trend=True, initialization_method=\"estimated\").fit(\n", " smoothing_level=0.8, smoothing_trend=0.2\n", ")\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" }, "execution": { "iopub.execute_input": "2022-11-02T17:06:48.647054Z", "iopub.status.busy": "2022-11-02T17:06:48.645884Z", "iopub.status.idle": "2022-11-02T17:06:48.727121Z", "shell.execute_reply": "2022-11-02T17:06:48.726440Z" } }, "outputs": [ { "data": { "text/html": [ "
\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
SESHolt'sExponentialAdditiveMultiplicative
$\\alpha$1.0000000.9743089.776329e-010.9788520.974891
$\\beta$NaN0.0000004.016578e-120.0000000.000000
$\\phi$NaNNaNNaN0.9800000.981637
$l_0$263.917688258.8826002.603440e+02257.357526258.940454
$b_0$NaN5.0107831.013780e+006.6447411.038159
SSE6761.3502356004.1382006.104195e+036036.5550056081.995166
\n", "
" ], "text/plain": [ " SES Holt's Exponential Additive Multiplicative\n", "$\\alpha$ 1.000000 0.974308 9.776329e-01 0.978852 0.974891\n", "$\\beta$ NaN 0.000000 4.016578e-12 0.000000 0.000000\n", "$\\phi$ NaN NaN NaN 0.980000 0.981637\n", "$l_0$ 263.917688 258.882600 2.603440e+02 257.357526 258.940454\n", "$b_0$ NaN 5.010783 1.013780e+00 6.644741 1.038159\n", "SSE 6761.350235 6004.138200 6.104195e+03 6036.555005 6081.995166" ] }, "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(\n", " damping_trend=0.98\n", ")\n", "fit5 = Holt(\n", " livestock2, exponential=True, damped_trend=True, initialization_method=\"estimated\"\n", ").fit()\n", "params = [\n", " \"smoothing_level\",\n", " \"smoothing_trend\",\n", " \"damping_trend\",\n", " \"initial_level\",\n", " \"initial_trend\",\n", "]\n", "results = pd.DataFrame(\n", " index=[r\"$\\alpha$\", r\"$\\beta$\", r\"$\\phi$\", r\"$l_0$\", \"$b_0$\", \"SSE\"],\n", " columns=[\"SES\", \"Holt's\", \"Exponential\", \"Additive\", \"Multiplicative\"],\n", ")\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" }, "execution": { "iopub.execute_input": "2022-11-02T17:06:48.732500Z", "iopub.status.busy": "2022-11-02T17:06:48.731328Z", "iopub.status.idle": "2022-11-02T17:06:49.241956Z", "shell.execute_reply": "2022-11-02T17:06:49.241331Z" } }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAicAAAGdCAYAAADJ6dNTAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjYuMCwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy89olMNAAAACXBIWXMAAA9hAAAPYQGoP6dpAABIw0lEQVR4nO3deXwTZf4H8E+SJumZ9L4PWo5WjnIJJQjKClIKIqcidikoqys/2EVYEeuigrtaxAvXVXRZBVdBDgVUlEuwoFCgFArltC2FFnpBpUnPpE3m90dtpEIxbVpm2n7er1dem0wmM9+Ms8ynT57nGZkgCAKIiIiIJEIudgFERERE12M4ISIiIklhOCEiIiJJYTghIiIiSWE4ISIiIklhOCEiIiJJYTghIiIiSWE4ISIiIklxELuA5rBYLMjPz4ebmxtkMpnY5RAREZENBEFAWVkZAgMDIZc33j7SJsNJfn4+QkJCxC6DiIiImiEvLw/BwcGNvt8mw4mbmxuAui+n0WhEroaIiIhsYTAYEBISYr2ON6ZNhpP6n3I0Gg3DCRERURvze10y2CGWiIiIJIXhhIiIiCSF4YSIiIgkpU32ObGFIAiora2F2WwWu5Q2SaFQwMHBgUO1iajFCIKASpMZpVU1qDKZUWUyo9JUi6qa+ufmBs8ra2pRbX1uRrXJDEelAiO6++K+7v5wVbfbS1iH1y7/y5pMJhQUFKCyslLsUto0Z2dnBAQEQKVSiV0KEUlUlcmMkgojSspN+LnChKvlRvxcYUJJhQkl5SaUVPzy+pfn1TUWu/f5TUYBHJUZGB7lh7G9AzEs0geOSkULfBuSCpkgCILYRTSVwWCAVquFXq+/YbSOxWJBZmYmFAoFfHx8oFKp+Nd/EwmCAJPJhCtXrsBsNqNr1663nCyHiDqW//5wHh+nXEBJuQmVpqa3TqsUcjipFHBWKeCkUsBJWf/cAU5KOZxVDr9Z/uvzy9eq8PWJAuRcrbBuz03tgNie/nigdyAGd/aCg4L/XknVra7f12t3LScmkwkWiwUhISFwdnYWu5w2y8nJCUqlEhcvXoTJZIKjo6PYJRGRBJgtApZ/l4lyY611mUohh6eLCl6uKni5quHlooKXiwqerip4u6jh5aqCp4sK3q5qeLqo4KxS2PVH47z7uuHkZQO+On4ZXx8vQKGhGp+nXcLnaZfg5aLC6F4BeKBPIPqHekAu5x+nTWW2CNiXeQX9wzygcVSKUkO7Cyf1+Je+/XgMiei3zhWWodxYCxeVAl//ZQi83dRwU9/e/mkymQy9grXoFaxFYtwdSL3wM746no9vMwpQUmHCJwcv4pODFxGodcTY3oEY2zsQPQI1bEX/HXk/V2LDkTx8nnYJBfpqvDyhJ+JjwkSppd2GEyIianlpF38GAPQN9UCEj6vI1QByuQwxEV6IifDC4gd6YH/WVXx1PB87TxUhX1+ND/adxwf7ziPCxwUj7vCDm9oBKgf5rw9F3f+qra8VUDnIoVTIfl2uUMDTVdUuO+BW15ix41QhNhzJw/6sEutyd2cljC3QP6i52t+RJiKiVnPk4jUAQP8wD5EruZFSIcewSF8Mi/RFdY0Z358txlfH87H7bDHOX6nAf66cb/a2HZVyvPFgH4yJDmjBisVzpsCA9al52HzsMvRVNdblQ7p446EBIRjZ3U/UTsYMJxIybNgw9OnTB8uXL78t+5sxYwZKS0uxZcuW27I/Imr70n4JJ3d2kl44uZ6jUoG4XgGI6xWAsuoa7DxVhBOXSmGstcBUa4HJ/Jv//c1z43WvjbVmVNdY8NT6Y9A6KTGkq7fYX69ZDNU1+Co9HxuO5OHEJb11eYDWEQ/2D8aDd4YgxFMafTUZToiIyCZFhmpculYFuQzoE+Iudjk2c3NUYlL/YEzq3/hdcG/FbBHwl8+O4tuMQjzxyRF89vgg9G4j318QBKReuIZ1qbn4NqPAOpRbqZBhxB1+mDIgBEO7+kAhsY7DDCdERGSTIxfqWk0i/TVwE2kUhxgUchnemtIHhqoj+DHrKmasOoyNTw5GF1/x+9w0pqTciI1pl7AhNQ/nrxt23cXXFQ8PCMGEvkHwclWLWOGttfvhGHUzEtaK8rBnChmj0Yinn34aQUFBcHFxQUxMDJKTkwHUjRN3cnLCtm3bGnxm8+bNcHNzs04+l5eXh4ceegju7u7w9PTEuHHjcOHChWbXREQdm/UnHQn2N2ltagcF3p/WH72DtbhWWYOEDw8hv7RK7LJucKbAgGc+Pw7d0j1Yuu0szl+tgLNKgYfuDMYXswZj17y78aehEZIOJkAHaDmpqjGj+ws7RNn36Zdi4axq3iGeM2cOTp8+jXXr1iEwMBCbN2/GqFGjkJGRga5du+L+++/H2rVrERcXZ/3MmjVrMH78eDg7O6OmpgaxsbHQ6XT44Ycf4ODggH/+858YNWoUTpw4wVlfiajJ6kfqSL2/SWtxVTtg1aMDMfn9Azh/pQIJHx3Gxj/r4OEi7r+nFouA788V48Mfc3Ag+9cRN9HBWsTHhGJMdGCbG2nUtqrtIHJzc7Fq1Srk5uYiMDAQAPD0009j+/btWLVqFV555RXEx8dj2rRpqKyshLOzMwwGA7755hts3rwZALB+/XpYLBb897//tY7tX7VqFdzd3ZGcnIyRI0eK9v2IqO2pMplxKt8AAOgX2jHDCQB4uqjwycwYTF5xAFnF5ZixOhVr/xQDFxEu/hXGWnyedgmr9ufgQkldi7lcBsT1DMBjQzqhX6hHm53bpd2HEyelAqdfihVt382RkZEBs9mMbt26NVhuNBrh5eUFABg9ejSUSiW++uorPPzww/jiiy+g0WgwYsQIAMDx48eRlZUFNze3Btuorq5GdnZ2s+oioo4rPa8UtRYBfho1gj2cxC5HVEHuTvhk5kBMfj8Fx/NK8eSnafhw+gCoHG5PT4m8nyvxv5QLWJeah7Lqupl63Rwd8MjAUEzThSHYQxojbuzR7sOJTCZr9k8rYikvL4dCoUBaWhoUioYBx9W1rgOWSqXC5MmTsXbtWjz88MNYu3YtpkyZAgcHB+s2+vfvjzVr1tywfR8fn9b/EkTUrhzNre9v4tlm/xpvSV183bBqxgDE//cQfsi8ivkb0vH2w31bbdSLIAg4cvEaPvoxBztOFcLyS5fGCG8XPHpXJ0zsFyxK601rsSvmLV26FDKZDE899ZR1WXV1NWbPng0vLy+4urpi0qRJKCoqavC53NxcjBkzBs7OzvD19cWCBQtQW1sLqtO3b1+YzWYUFxejS5cuDR7+/v7W9eLj47F9+3acOnUKe/bsQXx8vPW9fv36ITMzE76+vjdsQ6vVivG1iKgNO3Khrr+JFCdfE0vfUA+8/8f+UCpk2HqiAIu/OmXXQIibMdVasPnYJTzw7/148P0UbDtZF0yGdvXGqhkD8N38ezBN16ldBRPAjnCSmpqKDz74ANHR0Q2Wz5s3D19//TU2btyIvXv3Ij8/HxMnTrS+bzabMWbMGJhMJhw4cAAff/wxVq9ejRdeeKH536Kd6datG+Lj45GQkIBNmzYhJycHhw8fRlJSEr755hvrenfffTf8/f0RHx+P8PBwxMTEWN+Lj4+Ht7c3xo0bhx9++AE5OTlITk7GX//6V1y6dEmMr0VEbZTFIlhH6jCcNHR3Nx+8+VAfyGTAJwcvYvl3mS2y3fzSKry16ycMeXUP5q0/jozLeqgd5Jg6MAQ7nrobn8yMwR+ifNvtjQ2bFU7Ky8sRHx+PlStXwsPj1xNVr9fjww8/xJtvvol7770X/fv3x6pVq3DgwAEcPHgQALBz506cPn0an376Kfr06YO4uDj84x//wLvvvguTydQy36odWLVqFRISEvC3v/0NkZGRGD9+PFJTUxEaGmpdRyaTYerUqTh+/HiDVhMAcHZ2xr59+xAaGoqJEyfijjvuwMyZM1FdXX3L21QTEf1W9pVyGKpr4aRUoHsg//34rbG9A/HSAz0AAG/vzsTHBy40aztmi4DdZ4owc3Uqhry6B2/vzkRxmRG+bmosiI1ESuJwJE2MRqS/2+9vrI2TCc1og5o+fTo8PT3x1ltvNZhyfc+ePRg+fDiuXbsGd3d36/phYWF46qmnMG/ePLzwwgv46quvkJ6ebn0/JycHEREROHr0KPr27XvD/oxGI4xGo/W1wWBASEgI9Hr9DRfa6upq5OTkIDw8HI6Ojk39anQdHksiAoDPDucicVMGBkV4Yt0TOrHLkazl3/2E5d9lQiYDlk/pg3F9gmz6XIG+ChtSL2F9ai7y9dXW5YMiPDF1YCjiegbcts62rc1gMECr1d70+n29Jv9ItW7dOhw9ehSpqak3vFdYWAiVStUgmACAn58fCgsLrev4+fnd8H79ezeTlJSEJUuWNLVUIiJqAfUzw94Z5ilyJdI2d3hXXKsw4eOUi/jbhuNwd1bhnm43H4BgtgjY99MVrDmUiz1ni6wdXD2clZjcPxgPDwxFZwnc9VksTQoneXl5mDt3Lnbt2nVb/5JOTEzE/Pnzra/rW06IiKj11Y/UYX+TW5PJZHhxbA9cq6zBV8fz8eQnaVjzeEyDeWGKDNVYn5qH9al5uHzdDLMx4Z54JCYUsT38Rb0bsFQ0KZykpaWhuLgY/fr1sy4zm83Yt28f/v3vf2PHjh0wmUwoLS1t0HpSVFRkHWXi7++Pw4cPN9hu/Wie60eiXE+tVkOtlvZUu0RE7dHVciNyfrk3S0eefM1WcrkMrz/YG6VVNdj30xU8tjoV65/QIV9fhc8O5WL32WKYf2kmcXdWYlK/YEwdGCrp+/SIoUnhZPjw4cjIyGiw7NFHH0VUVBQWLlyIkJAQKJVK7N69G5MmTQIAnDt3Drm5udDp6n6n1Ol0ePnll1FcXAxfX18AwK5du6DRaNC9e/eW+E5ERNRC6kfpdPNzhda549zszx4qBzne/2M/xP/3EI7llmLU2/twfe/OgZ3qWklG9WQrSWOaFE7c3NzQs2fPBstcXFzg5eVlXT5z5kzMnz8fnp6e0Gg0+Mtf/gKdTodBgwYBAEaOHInu3btj2rRpWLZsGQoLC7Fo0SLMnj27RVtHWnqseUfEY0hEHELcPM4qB6yaMQAPvp+CzOJyaJ3qWkkeiQlBF9/2P9rGXi0+a8tbb70FuVyOSZMmwWg0IjY2Fu+99571fYVCga1bt2LWrFnQ6XRwcXHB9OnT8dJLL7XI/pXKumRfWVkJJ6eOPcWyvervblx/TImo4/k1nLAzbFO5O6vw+azBSM8rRUy4J1tJmqBZQ4nF9ntDkQoKClBaWgpfX184OztzquUmEgQBlZWVKC4uhru7OwICAsQuiYhEUF1jRvTinTCZLUh+ehg6ebuIXRK1ca02lLgtqO9YW1xcLHIlbZu7u3ujnZSJqP07eVkPk9kCb1cVwrza/s3kqO1ol+FEJpMhICAAvr6+qKmpEbucNkmpVN5w00Ei6ljqf9LpF+rBFmi6rdplOKmnUCh4gSUiaqYjv4STOzuxMyzdXu1jPlwiImpRgiDgKDvDkkgYToiI6AYXSipRUmGCykGOnkG82R/dXgwnRER0gyMXfgYARAdpoXbgz+N0ezGcEBHRDazzm7C/CYmA4YSIiG5g7QzL/iYkAoYTIiJqoLTShKzicgBAv1B3cYuhDonhhIiIGjiaW9dqEuHtAi9X3hGebj+GEyIiauDIBd7sj8TFcEJERA2kcfI1EhnDCRERWdWYLTh+qRQAW05IPAwnRERkdSrfgOoaC9ydlYjwdhW7HOqgGE6IiMjKOr9JqAfkct7sj8TBcEJERFZpF+tmhu3Hn3RIRAwnREQEoO5mf/Ujde5kOCERMZwQEREA4NK1KhSXGaFUyNA7xF3scqgDYzghIiIAv/Y36RGohaOSN/sj8TCcEBERAODIL/1NOISYxMZwQkREAMD+JiQZDCdERISy6hqcKyoDwJYTEh/DCRER4VhuKQQBCPF0gq/GUexyqINjOCEiIhypv59OmKfIlRAxnBAREYCjF3knYpIOhhMiog6u1mzBsVzeiZikg+GEiKiDO1tYhgqTGW5qB3T1dRO7HCKGEyKijq5+8rW+YR5Q8GZ/JAEMJ0REHVzaRc5vQtLCcEJE1MExnJDUMJwQEXVgBfoqXC6tgkLOm/2RdDCcEBF1YPWtJncEuMFF7SByNUR1GE6IiDqwX++nw8nXSDoYToiIOrD6lpN+7G9CEsJwQkTUQVWaanG6wACAnWFJWhhOiIg6qPS8UpgtAgK1jgh0dxK7HCIrhhMiog4q7Zf+Jv07sb8JSUuTwsmKFSsQHR0NjUYDjUYDnU6Hbdu2Wd8fNmwYZDJZg8eTTz7ZYBu5ubkYM2YMnJ2d4evriwULFqC2trZlvg0REdms/k7E/UPdxS2E6DeaNG4sODgYS5cuRdeuXSEIAj7++GOMGzcOx44dQ48ePQAAjz/+OF566SXrZ5ydna3PzWYzxowZA39/fxw4cAAFBQVISEiAUqnEK6+80kJfiYiofTNbBCSfK8a61DwUlxnRN8QdAzp5YkC4B3zdHG3ahsUi4Kj1Zn9sOSFpkQmCINizAU9PT7z22muYOXMmhg0bhj59+mD58uU3XXfbtm24//77kZ+fDz8/PwDA+++/j4ULF+LKlStQqVQ27dNgMECr1UKv10Oj0dhTPhFRm1Ggr8L61DysT81Dgb76put08nKuCyqdPDEg3BOdvJwhk914v5xzhWWIXb4PzioFTrw4Eg4K/spPrc/W63ezZ9wxm83YuHEjKioqoNPprMvXrFmDTz/9FP7+/hg7diyef/55a+tJSkoKevXqZQ0mABAbG4tZs2bh1KlT6Nu37033ZTQaYTQaG3w5IqKOoL6V5LPDudhzthiWX/6c9HBWYnL/YPQM0uLoxWs4fOEazhYacKGkEhdKKrEx7RIAwMdNjQGdPKyB5Y4ADRRyGY5c/BkA0CfEncGEJKfJ4SQjIwM6nQ7V1dVwdXXF5s2b0b17dwDAI488grCwMAQGBuLEiRNYuHAhzp07h02bNgEACgsLGwQTANbXhYWFje4zKSkJS5YsaWqpRERtVmOtJIMiPDF1YChG9fSH2kEBABjXJwgAoK+qwdHca0jN+RmpF37G8Tw9rpQZ8W1GIb7NqPs31lXtgH5hHrhaVvcHH4cQkxQ1OZxERkYiPT0der0en3/+OaZPn469e/eie/fueOKJJ6zr9erVCwEBARg+fDiys7PRuXPnZheZmJiI+fPnW18bDAaEhIQ0e3tERFJktgjY+1Mx1h66eSvJwwND0dnHtdHPa52U+EOkL/4Q6QsAqK4x48QlPVIv1IWVtAvXUGasxb6frlg/w5E6JEVNDicqlQpdunQBAPTv3x+pqal4++238cEHH9ywbkxMDAAgKysLnTt3hr+/Pw4fPtxgnaKiIgCAv79/o/tUq9VQq9VNLZWIqE2obyXZkJqH/OtaSWLCPfFITChie/jDUalo8nYdlQoMDPfEwPC6AGK2CDhbaPilZeUaXNQKDO7s1WLfg6il2H2XJ4vF0qA/yPXS09MBAAEBAQAAnU6Hl19+GcXFxfD1rUv2u3btgkajsf40RETUUdSaLXj+y5NYn5pnbSVxd1Zicr+6VpIuvo23kjSHQi5Dj0AtegRqMeOu8BbdNlFLalI4SUxMRFxcHEJDQ1FWVoa1a9ciOTkZO3bsQHZ2NtauXYvRo0fDy8sLJ06cwLx583D33XcjOjoaADBy5Eh0794d06ZNw7Jly1BYWIhFixZh9uzZbBkhog7FYhGw8IsMfHG0ruPqwHBPxNvRSkLUnjQpnBQXFyMhIQEFBQXQarWIjo7Gjh07cN999yEvLw/fffcdli9fjoqKCoSEhGDSpElYtGiR9fMKhQJbt27FrFmzoNPp4OLigunTpzeYF4WIqL0TBAEvbT2NL45egkIuw7uP9MWongFil0UkGXbPcyIGznNCRG3ZGzvP4Z09WQCANx/qjYn9gkWuiOj2sPX6zcHtRES30Qd7s63B5B/jejCYEN0EwwkR0W2y5tBFJG07CwB4ZlQkpuk6iVsQkUTZPVqHiNquGrMF1TVmVNWYUW2yoOqX51UmM6przYjyd0OA1knsMtuFL9MvY9GWkwCAWcM64/+GdRG5IiLpYjghaqcK9dV4e3cmcq6Wo6rGgmqT2Ro+6p/XWm7d5UzlIMeCkZF4bEg4FPIb789CtvnudBHmbzgOQQCmDQrDM7GRYpdEJGkMJ0TtTK3Zgv+lXMQbO8+hwmS26TMyGeCkVMBJqYCjUgFHpRxmi4ALJZV4+dsz2H6qEK9NjkbELWYnpZs7kHUV/7f2KMwWARP7BmHJAz1ueiM+IvoVwwlRO3I8rxR/35KBk5frbo7ZL9Qd0wd3govKAU6quuDhpFTASVUfRORwVCqgdpDfcMEUBAHrU/Pwz2/OIO3iNcS9/QOeGRWFRwd3gpytKDY5mnsNf/rfEZhqLRjZ3Q/LJkfz2BHZgEOJidoBQ3UNXt9xDp8cvAhBADSODng27g48PCDE7ovhpWuVWPjFCezPKgEADOzkiWWTo9HJ26UlSm+3zhQYMOWDFBiqazGkizc+nHGn9UZ9RB2VrddvhhOiNkwQBGw9UYCXtp7GlV/uMjuhbxD+PuYOeLu23KzLgiBgzaFcvPLtGVSazHBUyvHsqCgk6NiKcjM5Vyvw4PspuFpuRP8wD3wycyCcVWyoJmI4IWrnLlytwPNfnsQPmVcBABHeLvjn+J4Y3MW71faZ93Mlnvn8BFLO17WixIR74rXJvRHq5dxq+2xrLpdW4aH3U3C5tArdAzT47IlB0DopxS6LSBIYTojaKWOtGf/Zex7vfJ8FU60FKgc5Zg/rgieHRdyWnw0sFgGfHrqIpG/PoqrGDGeVAolxUYiPCevwrShXyoyY8kEKzl+tQISPCzb8WdeiLVhEbR3DCVE7dCD7KhZtOYnzVyoAAEO6eOMf43siXIT+HxdLKrDg8xM4nPMzAGBwZy+8OikaIZ4dsxVFX1mDKf9JwdnCMgS5O2HjkzoEunOOGKLrMZwQtSNXy4145dsz2HT0MgDA21WN5++/Aw/0DhR1WKrFIuDjlAt4dftZVNdY4KJS4Lkxd+CRgaEdarhshbEWf/zwEI7llsLHTY2Nf9axwzDRTTCcELUD9cN5k7adhb6qBjIZ8MeYMDwdGympfgw5VyuwYONxHLl4DQAwtKs3lk6KRlAHaDk4cakUL3x5Cul5pdA6KbH+z4MQ5c9/l4huhuGEqI27Wm7EM5+fwJ6zxQCA7gEavDyhJ/qGeohc2c2ZLQJW7c/BazvOwVhrgYezEqsfHYjeIe5il9YqLlytwOs7z2HriQIAgKvaAZ/+KQZ92un3JWoJDCdEbdj354qxYONxXC03QaWQ4+nYbnjsrnA4KKR/r87sK+WYu+4YTl42wFmlwMqEO3FXK44gut2ulBnxzp5MrD2Ui1qLAJkMmNAnCPPu69Zh+9sQ2YrhhKgNqq4xY+m2s1h94AIAoJufK95+uC/uCGhb53m5sRZ//uQI9meVQKWQ4+2H+yCuV4DYZdml3FiLlfvOY+UP51H5y20BhkX64JnYKHQPbFv/fYjEwnBC1MacLTRg7mfpOFdUBgCYMbgTno2LgqOybc4qaqw146l16dh2shByGfDyhF6YOjBU7LKazFRrwbrUXPxrdyaulpsAAL2DtVgYF4XBndtPixDR7WDr9ZtTFhKJzGIRsPrABSzdfhamWgu8XVV47cHe+EOkr9il2UXtoMC/H+mHRVsy8NnhPCRuykBpZQ2evCeiTYzksVgEfJNRgNd3nsPFkkoAQLi3CxbERiKup3+b+A5EbRXDCZGIisuq8fTGE9j30xUAwL1Rvlg2ObrdTNylkMvwyoRecHdWYUVyNl7dfhbXKk1IjIuS9MX9QNZVLN1+Ficu6QHUDd2eO6IrHh4QAmUb6PdD1NYxnBCJ5LvTRXjmixP4ucIEtYMcfx9zB6YNCpP0Rbs5ZDIZFo6KgqezCi9/ewb/2Xce1ypMSJrYS3IdfE/l6/Hq9nPWsOiiUuDP93TGzCHhcFHzn0ui24X/byO6zapMZrz87Wl8ejAXABDl74Z/Te2Lbn5uIlfWuh6/OwLuzko8uykDG9MuobSqBu9M7SuJPjXH80qx8ofz1mHBSoUM8TFhmHNvl3bTikXUljCcEN1Gp/L1mLsuHVnF5QCAmUPC8cyoyNtyTxwpePDOEGidlJjz2THsOl2EGasOY2XCnXBzvP0TytWaLdhxqggf7c9B2i+TxwHAA70D8beR3RDmxRleicTC0TpEt4HFIuDDH3OwbMdZ1JgF+Lip8caDvXF3Nx+xSxNFSnYJHv/fEZQba9EzSIPVjw68bS0U+qoarE/NxccHLuJyaRWAupaSB3oHYeaQcA4LJmpFHEpMJBHnr5Tj+S9PYn9WCQDgvu5+eHVSNDxdVCJXJq6Tl/WY/tFhlFSYEOHtgv/NHIhgj9abxCznagVW78/BxrRL1nlKvFxUiB8Uhj8OCoWvm2Or7ZuI6jCcEIms3FiLd/Zk4qMfc1BjFuColOOF+3tg6sCQdtfptbnOXynHtA8P43JpFfw1jvhk5kB0bcG+N4Ig4EB2CT76MQd7zhWj/l+7KH83PHZXOB7oEyiJPi9EHQXDCZFILBYBm49dxtLtZ3GlzAgAuKebD14c2x0RPq4iVyc9BfoqJHx4GJnF5XD/5X489t6fprrGjK/S8/HR/hycLayb1E4mA4ZH+eKxu8Kh6+zFgEgkAoYTIhEczyvF4q9P4VhuKQAgzMsZL9zfHfdG+fJieAvXKkx4dHUq0vNK4axSIDEuCu7OKijkMshlsl/+F5DLZVD88lomg/V5/XIA2H2mCGsO5aKkom42V2eVAg/2D8aMu8IR7s1OrkRiYjghuo2ulhvx2vZz2JCWB0GouyDOubcLZg4J7zAjcexVYazFk5+m4YfMqy2yvSB3J0wfHIYpd4ZC63z7RwMR0Y04fT3RbVBjtuDjAxfw9neZKDPWAgAm9A3Cs3FR8NOwg2VTuKgd8N/pd+KtXZnIuFwKs0WAxQKYBQFmiwBBEH55XvfTmVkQYBGEX59bALNFQJiXM6YP7oSR3f0kN8kbEdmG4YSomX7IvIIlX5+2zlnSK0iLxQ90R/8wT5Era7vUDgo8GxcldhlEJDKGE6Imyi2pxD+/OY2dp4sAAJ4uKjwTG4kH7wyBQs5+JURE9mI4IbJRpakW732fjf/8cB6mWgsUchmm6zph7oiu0DqxTwMRUUthOCH6HWaLgE1HL+GNnT+h0FANABjSxRsvju3eonNyEBFRHYYTokYIgoC9P13B0m1nrXNlBHs44fn7u2Nkdz8ODSYiaiUMJ0Q3cfKyHknbzlinnNc4OmDOvV2QoOvEGUWJiFoZwwnRdS5dq8TrO85hS3o+AEClkGP64DDM/kMXuDt37HvhEBHdLgwnRAD0lTV4NzkLq/dfgMlsAQCM7xOIv42MRIhn692MjoiIbsRwQh1adY0Zn6RcxL+/z4K+qgYAMLizFxLj7kCvYK3I1RERdUxNmj5xxYoViI6OhkajgUajgU6nw7Zt26zvV1dXY/bs2fDy8oKrqysmTZqEoqKiBtvIzc3FmDFj4OzsDF9fXyxYsAC1tbUt822IbGSxCNhy7DKGv7EXL397BvqqGkT5u2H1owOw5k8xDCZERCJqUstJcHAwli5diq5du0IQBHz88ccYN24cjh07hh49emDevHn45ptvsHHjRmi1WsyZMwcTJ07E/v37AQBmsxljxoyBv78/Dhw4gIKCAiQkJECpVOKVV15plS9I9Fv7s67ilW/P4FS+AQDgr3HE30Z2w8R+wZxEjYhIAuy+8Z+npydee+01TJ48GT4+Pli7di0mT54MADh79izuuOMOpKSkYNCgQdi2bRvuv/9+5Ofnw8/PDwDw/vvvY+HChbhy5QpUKts6HPLGf9Qcp/L1WLb9HPb+dAUA4KZ2wKw/dMajg8PhpOIIHCKi1tbqN/4zm83YuHEjKioqoNPpkJaWhpqaGowYMcK6TlRUFEJDQ63hJCUlBb169bIGEwCIjY3FrFmzcOrUKfTt2/em+zIajTAajQ2+HJGtLlytwJu7fsJXx+tG4CgVMvxxUBj+cm9XeLpwBA4RkdQ0OZxkZGRAp9Ohuroarq6u2Lx5M7p374709HSoVCq4u7s3WN/Pzw+FhYUAgMLCwgbBpP79+vcak5SUhCVLljS1VOrgig3V+NeeTKw7nIdaS10D4QO9AzH/vm7o5O0icnVERNSYJoeTyMhIpKenQ6/X4/PPP8f06dOxd+/e1qjNKjExEfPnz7e+NhgMCAkJadV9Utulr6rBB3uz8dH+HFTX1A0LHhbpgwWxkegRyI6uRERS1+RwolKp0KVLFwBA//79kZqairfffhtTpkyByWRCaWlpg9aToqIi+Pv7AwD8/f1x+PDhBturH81Tv87NqNVqqNXqppZKHUyVyYyPUy5gRXK2dVhwv1B3PDMqCoMivESujoiIbNWkocQ3Y7FYYDQa0b9/fyiVSuzevdv63rlz55CbmwudTgcA0Ol0yMjIQHFxsXWdXbt2QaPRoHv37vaWQh1UjdmCtYdyMez177F021noq2rQzc8VKxPuxBezBjOYEBG1MU1qOUlMTERcXBxCQ0NRVlaGtWvXIjk5GTt27IBWq8XMmTMxf/58eHp6QqPR4C9/+Qt0Oh0GDRoEABg5ciS6d++OadOmYdmyZSgsLMSiRYswe/ZstoxQk1ksAr7JKMAbO8/hQkklACDI3Qnz7+uG8X2DOCyYiKiNalI4KS4uRkJCAgoKCqDVahEdHY0dO3bgvvvuAwC89dZbkMvlmDRpEoxGI2JjY/Hee+9ZP69QKLB161bMmjULOp0OLi4umD59Ol566aWW/VbUrgmCgH2ZV7Fs+1nrXCVeLirMubcLHokJhdqBw4KJiNoyu+c5EQPnOek4LBYBhYZq5FytwPmrFci5UoH0vGs4mlsKAHBVO+DxoRGYOTQcrmrejYGISMpafZ4TopYiCAJ+rjBZA8iFqxXIue5hrLXc8BmVQo5pujD837DO8HLlT4JERO0JwwnddvmlVfgyPR/nCg3IKalEzpVyGKobv7+Sg1yGUC9nhHu5INzbBeE+LvhDpC8C3Z1uY9VERHS7MJzQbSEIAlKyS/C/lIvYdaYIZsuNvyYGuTvVhY/fPII9nOCgsHtgGRERtREMJ9SqyqprsPnYZfwv5SKyisuty2PCPXFPpA8ivF0Q7u2KMC9nOCrZkZWIiBhOqJVkFpXhfykXsenoJVSYzAAAZ5UCE/sFYdqgToj0dxO5QiIikiqGE2oxtWYLdp0uwv9SLiLlfIl1eWcfFyToOmFivyC4OSpFrJCIiNoChhOy25UyI9YdzsXaw7ko0FcDAOQy4L7ufkjQdcLgzl6QyTghGhER2YbhhJpFEAQczb2G/6VcxLcZBagx13Vw9XJR4eGBIXgkJgxBHE1DRETNwHBCTVJpqsWX6fn4JOUiThcYrMv7hrojQReG0b0COEMrERHZheGEbHL+Sjk+PZiLjWl5KPtlThK1gxwP9A5Egq4TegVrRa6QiIjaC4YTalSt2YI9Z4vxycGL+CHzqnV5mJcz/hgThsn9g+HhohKxQiIiao8YTugGV8uNWJ+ah7WHcnG5tAoAIJMB90b6YpouDHd39YGcd/wlIqJWwnBCABrv4OrhrMSUAaGIjwlFiKezyFUSEVFHwHDSwTXWwbVPyK8dXDlzKxER3U4MJx2UIAjYeOQS/vnNaetN99QOcozrE4hpg9jBlYiIxMNw0gFdLTcicVMGdp0uAvBrB9cH7wyGuzM7uBIRkbgYTjqY704X4dlNJ3C13ASlQoanR0biT0MjoGAHVyIikgiGkw6iwliLf35zGp8dzgMARPq54a0pfdA9UCNyZURERA0xnHQAaRevYf6GdFwsqYRMBvxpSDj+NjKSHV2JiEiSGE7asRqzBf/anYl3v8+CRQACtY54/aHeGNzZW+zSiIiIGsVw0k5lFZdj3vp0ZFzWAwAm9g3Ciw/0gNZJKXJlREREt8Zw0s5YLAI+OXgRr3x7BsZaC9ydlXh5fC+MiQ4QuzQiIiKbMJy0EEEQoK+qgdZJCZlMnJEvhfpqLPj8uPU+OEO7euP1B3vDT+MoSj1ERETNwXBih7LqGuzPKkHyuWLs/ekKCvTV6BmkwexhXRDbw/+23n9m64l8/H3zSeirauColOO50Xdg2qAw0YISERFRczGcNIEgCDhXVIbkc1eQfK4YRy5cQ61FaLDOycsGzFpzFBE+Lph1T2eM7xsEpULeajVlXynHO7szsSU9HwAQHazFmw/1QRdf11bbJxERUWuSCYIg/P5q0mIwGKDVaqHX66HRtO48HXWtI1eRfO6KtXXkep28nDEs0hf3RPog0s8N6w7nYvWBC9Yp4QO1jnji7ghMGRAKJ1XLDN39ucKEr4/nY9OxyzieVwoAUMhlmP2HLvjLvV1aNQwRERE1l63Xb4aT3xAEAWcLf20dSbvYsHVE7SCHrrMXhnXzwbBIX3TydrlhG2XVNVh7KBcrf8jB1XIjAMDLRYXHhoTjj4PCmjVixlhrxp4zxfji6GUknyu21qSQy3BPNx/85d4u6Bvq0cxvTURE1PoYTprhP/uy8dGPF1BoaNg6Eu7tgnu6+WBYpA8GRXjZPHlZdY0Zn6ddwgf7spH3cxUAwE3tgD/qwvDYXeHwcVPf8vOCICDt4jV8cfQyvjmRb22NAYBeQVpM6BuEB/oEwtv11tshIiKSAoaTZvj3nky8vvMnOCrl0EV4YVikL4ZF+iDM68bWkaaoNVuw9UQB3kvOwk9F5QDqWmAeHhCCx++OQLCHc4P1L5ZUYNPRy9h87DJyf660Lg/QOmJ83yBM7BuErn5udtVERER0uzGcNEPez5U4f7UCMeGerTK1u8UiYPfZYrz7fRbSf+kr4iCXYVyfICTowpBxWY/Nxy4j7eI162dcVArE9QrAxL5BGBThdVtHABEREbUkhhMJEwQBKedL8N732fgx6+oN78tlwNCuPpjYLwgju/u3WEdaIiIiMdl6/eZQYhHIZDIM7uyNwZ29cTyvFO8lZ2Hn6SJE+WswqV8QHugdCF9OnEZERB0Uw4nIeoe444Npd8JiEfiTDREREQBOiCERDCZERER1GE6IiIhIUhhOiIiISFIYToiIiEhSGE6IiIhIUtrkaJ36qVkMBoPIlRAREZGt6q/bvzfFWpsMJ2VlZQCAkJAQkSshIiKipiorK4NWq230/TY5Q6zFYkF+fj7c3Nwgk7XsEFyDwYCQkBDk5eW1ydlnbyceK9vxWNmOx8p2PFa247GyXWseK0EQUFZWhsDAQMjljfcsaZMtJ3K5HMHBwa26D41GwxPYRjxWtuOxsh2Ple14rGzHY2W71jpWt2oxqccOsURERCQpDCdEREQkKQwnv6FWq/Hiiy9CrVaLXYrk8VjZjsfKdjxWtuOxsh2Ple2kcKzaZIdYIiIiar/YckJERESSwnBCREREksJwQkRERJLCcEJERESSwnBCREREksJwQkRERJLCcEJERESSwnBCREREksJwQkRERJLCcEJERESSwnBCREREksJwQkRERJLCcEJERESSwnBCREREksJwQkRERJLCcEJERESSwnBCREREksJwQkRERJLCcEJERESSwnBCREREksJwQkRERJLCcEJERESSwnBCREREksJwQkRERJLCcEJERESS4iB2Ac1hsViQn58PNzc3yGQyscshIiIiGwiCgLKyMgQGBkIub7x9pE2Gk/z8fISEhIhdBhERETVDXl4egoODG32/TYYTNzc3AHVfTqPRiFwNERER2cJgMCAkJMR6HW9Mmwwn9T/laDQahhMiIqI25ve6ZLBDLBEREUkKwwkRERFJCsMJERERSUqb7HNCRETUUsxmM2pqasQuo11QKpVQKBR2b4fhhIiIOiRBEFBYWIjS0lKxS2lX3N3d4e/vb9c8ZAwnRETUIdUHE19fXzg7O3NSTzsJgoDKykoUFxcDAAICApq9LYYTIiLqcMxmszWYeHl5iV1Ou+Hk5AQAKC4uhq+vb7N/4mGHWCIi6nDq+5g4OzuLXEn7U39M7enHw3BCREQdFn/KaXktcUwZToiIiEhSGE6IiIjagRkzZmD8+PFil9EiGE6IiIhIUhhOiIiISFIYToiIiNqQzz//HL169YKTkxO8vLwwYsQIVFRU3LCe0WjEX//6V/j6+sLR0RFDhgxBamqq9f3k5GTIZDJ88803iI6OhqOjIwYNGoSTJ0822M6PP/6IoUOHwsnJCSEhIfjrX/960/21JIYTIiIiABAEwFRx+x+CYHOJBQUFmDp1Kh577DGcOXMGycnJmDhxIoSbbOOZZ57BF198gY8//hhHjx5Fly5dEBsbi59//rnBegsWLMAbb7yB1NRU+Pj4YOzYsdZhwNnZ2Rg1ahQmTZqEEydOYP369fjxxx8xZ84c+4717+AkbERERABQUwm8Enj79/tcPqBysWnVgoIC1NbWYuLEiQgLCwMA9OrV64b1KioqsGLFCqxevRpxcXEAgJUrV2LXrl348MMPsWDBAuu6L774Iu677z4AwMcff4zg4GBs3rwZDz30EJKSkhAfH4+nnnoKANC1a1f861//wj333IMVK1bA0dHRnm/eKLacEBERtRG9e/fG8OHD0atXLzz44INYuXIlrl27dsN62dnZqKmpwV133WVdplQqMXDgQJw5c6bBujqdzvrc09MTkZGR1nWOHz+O1atXw9XV1fqIjY2FxWJBTk5OK31LtpwQERHVUTrXtWKIsV8bKRQK7Nq1CwcOHMDOnTvxzjvv4O9//zsOHTrUKqWVl5fjz3/+M/7617/e8F5oaGir7BNgOCEiIqojk9n884qYZDIZ7rrrLtx111144YUXEBYWhs2bNzdYp3PnzlCpVNi/f7/155+amhqkpqZaf6Kpd/DgQWvQuHbtGn766SfccccdAIB+/frh9OnT6NKlS+t/sevY9bPO4sWLIZPJGjyioqIaXX/lypUYOnQoPDw84OHhgREjRuDw4cP2lEBERNRhHDp0CK+88gqOHDmC3NxcbNq0CVeuXLGGiXouLi6YNWsWFixYgO3bt+P06dN4/PHHUVlZiZkzZzZY96WXXsLu3btx8uRJzJgxA97e3tbJ3BYuXIgDBw5gzpw5SE9PR2ZmJr788kvpd4jt0aMHvvvuu1836ND4JpOTkzF16lQMHjwYjo6OePXVVzFy5EicOnUKQUFB9pZCRETUrmk0Guzbtw/Lly+HwWBAWFgY3njjDcTFxWH9+vUN1l26dCksFgumTZuGsrIy3HnnndixYwc8PDxuWG/u3LnIzMxEnz598PXXX0OlUgEAoqOjsXfvXvz973/H0KFDIQgCOnfujClTprTq95QJNxt/ZKPFixdjy5YtSE9Pb9bnzWYzPDw88O9//xsJCQk2f85gMECr1UKv10Oj0TRr30RE1HFVV1cjJycH4eHhrTbiROqSk5Pxhz/8AdeuXYO7u3uLbfdWx9bW67fdo3UyMzMRGBiIiIgIxMfHIzc31+bPVlZWoqamBp6envaWQURERO2EXT/rxMTEYPXq1YiMjERBQQGWLFmCoUOH4uTJk3Bzc/vdzy9cuBCBgYEYMWLELdczGo0wGo3W1waDwZ6yiYiISMLsCif1E7sAdb9LxcTEICwsDBs2bLihw81vLV26FOvWrUNycvLvNqklJSVhyZIl9pRKRERE1xk2bNhNZ5aVghadhM3d3R3dunVDVlbWLdd7/fXXsXTpUuzcuRPR0dG/u93ExETo9XrrIy8vr6VKJiIiIolp0XBSXl6O7OxsBAQENLrOsmXL8I9//APbt2/HnXfeadN21Wo1NBpNgwcRERG1T3aFk6effhp79+7FhQsXcODAAUyYMAEKhQJTp04FACQkJCAxMdG6/quvvornn38eH330ETp16oTCwkIUFhaivLzcvm9BRETUDBaLRewS2p2WOKZ29Tm5dOkSpk6dipKSEvj4+GDIkCE4ePAgfHx8AAC5ubmQy3/NPytWrIDJZMLkyZMbbOfFF1/E4sWL7SmFiIjIZiqVCnK5HPn5+fDx8YFKpYJMJhO7rDZNEASYTCZcuXIFcrncOldKc9g1z4lYOM8JERHZy2QyoaCgAJWVlWKX0q44OzsjICDgpuHE1us3761DREQdkkqlQmhoKGpra2E2m8Uup11QKBRwcHCwuxWK4YSIiDosmUwGpVIJpVIpdil0nRYdrUNERERkL4YTIiIikhSGEyIiIpIUhhMiIiKSFIYTIiIikhSGEyIiIpIUhhMiIiKSFIYTIiIikhSGEyIiIpIUhhMiIiKSFIYTIiIikhSGEyIiIpIUhhMiIiKSFIYTIiIikhSGEyIiIpIUhhMiIiKSFIYTIiIikhSGEyIiIpIUu8LJ4sWLIZPJGjyioqIaXf/UqVOYNGkSOnXqBJlMhuXLl9uzeyIiImqHHOzdQI8ePfDdd9/9ukGHxjdZWVmJiIgIPPjgg5g3b569uyYiIqJ2yO5w4uDgAH9/f5vWHTBgAAYMGAAAePbZZ+3dNREREbVDdvc5yczMRGBgICIiIhAfH4/c3NyWqKsBo9EIg8HQ4EFERETtk13hJCYmBqtXr8b27duxYsUK5OTkYOjQoSgrK2up+gAASUlJ0Gq11kdISEiLbp+IiIikw65wEhcXhwcffBDR0dGIjY3Ft99+i9LSUmzYsKGl6gMAJCYmQq/XWx95eXktun0iIiKSDrv7nFzP3d0d3bp1Q1ZWVktuFmq1Gmq1ukW3SURERNLUovOclJeXIzs7GwEBAS25WSIiIupA7AonTz/9NPbu3YsLFy7gwIEDmDBhAhQKBaZOnQoASEhIQGJionV9k8mE9PR0pKenw2Qy4fLly0hPT2/xlhYiIiJqu+z6WefSpUuYOnUqSkpK4OPjgyFDhuDgwYPw8fEBAOTm5kIu/zX/5Ofno2/fvtbXr7/+Ol5//XXcc889SE5OtqcUIiIiaidkgiAIYhfRVAaDAVqtFnq9HhqNRuxyiIiIyAa2Xr95bx0iIiKSFIYTIiIikhSGEyIiIpIUhhMiIiKSFIYTIiIikhSGEyIiIpIUhhMiIiKSFIYTIiIikhSGEyIiIpIUhhMiIiKSFIYTIiIikhSGEyIiIpIUhhMiIiKSFIYTIiIikhSGEyIiIpIUhhMiIiKSFIYTIiIikhSGEyIiIpIUB7ELkBRBAGoqxa6CiIhIfEpnQCYTZdd2hZPFixdjyZIlDZZFRkbi7NmzjX5m48aNeP7553HhwgV07doVr776KkaPHm1PGS2nphJ4JVDsKoiIiMT3XD6gchFl13b/rNOjRw8UFBRYHz/++GOj6x44cABTp07FzJkzcezYMYwfPx7jx4/HyZMn7S2DiIiI2gmZIAhCcz+8ePFibNmyBenp6TatP2XKFFRUVGDr1q3WZYMGDUKfPn3w/vvv27xfg8EArVYLvV4PjUbT1LIbx591iIiI6rTCzzq2Xr/t7nOSmZmJwMBAODo6QqfTISkpCaGhoTddNyUlBfPnz2+wLDY2Flu2bLG3jJYhk4nWhEVERER17AonMTExWL16NSIjI1FQUIAlS5Zg6NChOHnyJNzc3G5Yv7CwEH5+fg2W+fn5obCw8Jb7MRqNMBqN1tcGg8GesomIiEjC7AoncXFx1ufR0dGIiYlBWFgYNmzYgJkzZ9pdXL2kpKQbOt4SERFR+9Si85y4u7ujW7duyMrKuun7/v7+KCoqarCsqKgI/v7+t9xuYmIi9Hq99ZGXl9diNRMREZG0tGg4KS8vR3Z2NgICAm76vk6nw+7duxss27VrF3Q63S23q1arodFoGjyIiIiofbIrnDz99NPYu3cvLly4gAMHDmDChAlQKBSYOnUqACAhIQGJiYnW9efOnYvt27fjjTfewNmzZ7F48WIcOXIEc+bMse9bEBERUbthV5+TS5cuYerUqSgpKYGPjw+GDBmCgwcPwsfHBwCQm5sLufzX/DN48GCsXbsWixYtwnPPPYeuXbtiy5Yt6Nmzp33fgoiIiNoNu+Y5EUurzXNCRERErcbW6zdv/EdERESSwnBCREREksJwQkRERJLCcEJERESSwnBCREREksJwQkRERJLCcEJERESSwnBCREREksJwQkRERJLCcEJERESSwnBCREREksJwQkRERJLCcEJERESSwnBCREREksJwQkRERJLCcEJERESSwnBCREREksJwQkRERJLCcEJERESSwnBCREREktKi4WTp0qWQyWR46qmnGl2npqYGL730Ejp37gxHR0f07t0b27dvb8kyiIiIqA1rsXCSmpqKDz74ANHR0bdcb9GiRfjggw/wzjvv4PTp03jyyScxYcIEHDt2rKVKISIiojasRcJJeXk54uPjsXLlSnh4eNxy3U8++QTPPfccRo8ejYiICMyaNQujR4/GG2+80RKlEBERURvXIuFk9uzZGDNmDEaMGPG76xqNRjg6OjZY5uTkhB9//PGWnzEYDA0eRERE1D7ZHU7WrVuHo0ePIikpyab1Y2Nj8eabbyIzMxMWiwW7du3Cpk2bUFBQ0OhnkpKSoNVqrY+QkBB7yyYiIiKJsiuc5OXlYe7cuVizZs0NrSGNefvtt9G1a1dERUVBpVJhzpw5ePTRRyGXN15KYmIi9Hq99ZGXl2dP2URERCRhMkEQhOZ+eMuWLZgwYQIUCoV1mdlshkwmg1wuh9FobPDe9aqrq1FSUoLAwEA8++yz2Lp1K06dOmXTfg0GA7RaLfR6PTQaTXPLJyIiotvI1uu3gz07GT58ODIyMhose/TRRxEVFYWFCxc2GkwAwNHREUFBQaipqcEXX3yBhx56yJ5SiIiIqJ2wK5y4ubmhZ8+eDZa5uLjAy8vLujwhIQFBQUHWPimHDh3C5cuX0adPH1y+fBmLFy+GxWLBM888Y08pRERE1E7YFU5skZub26A/SXV1NRYtWoTz58/D1dUVo0ePxieffAJ3d/fWLoWIiIjaALv6nIiFfU6IiIjaHluv37y3DhEREUkKwwkRERFJCsMJERERSQrDCREREUkKwwkRERFJCsMJERERSQrDCREREUkKwwkRERFJCsMJERERSQrDCREREUkKwwkRERFJCsMJERERSQrDCREREUkKwwkRERFJCsMJERERSQrDCREREUkKwwkRERFJCsMJERERSQrDCREREUlKi4aTpUuXQiaT4amnnrrlesuXL0dkZCScnJwQEhKCefPmobq6uiVLISIiojbKoaU2lJqaig8++ADR0dG3XG/t2rV49tln8dFHH2Hw4MH46aefMGPGDMhkMrz55pstVQ4RERG1US3SclJeXo74+HisXLkSHh4et1z3wIEDuOuuu/DII4+gU6dOGDlyJKZOnYrDhw+3RClERETUxrVIOJk9ezbGjBmDESNG/O66gwcPRlpamjWMnD9/Ht9++y1Gjx7dEqUQERFRG2f3zzrr1q3D0aNHkZqaatP6jzzyCK5evYohQ4ZAEATU1tbiySefxHPPPdfoZ4xGI4xGo/W1wWCwt2wiIiKSKLtaTvLy8jB37lysWbMGjo6ONn0mOTkZr7zyCt577z0cPXoUmzZtwjfffIN//OMfjX4mKSkJWq3W+ggJCbGnbCIiIpIwmSAIQnM/vGXLFkyYMAEKhcK6zGw2QyaTQS6Xw2g0NngPAIYOHYpBgwbhtddesy779NNP8cQTT6C8vBxy+Y156WYtJyEhIdDr9dBoNM0tn4iIiG4jg8EArVb7u9dvu37WGT58ODIyMhose/TRRxEVFYWFCxfeEEwAoLKy8oYAUr9eYzlJrVZDrVbbUyoRERG1EXaFEzc3N/Ts2bPBMhcXF3h5eVmXJyQkICgoCElJSQCAsWPH4s0330Tfvn0RExODrKwsPP/88xg7duxNwwwRERF1LC02z0ljcnNzG7SULFq0CDKZDIsWLcLly5fh4+ODsWPH4uWXX27tUoiIiKgNsKvPiVhs/c2KiIiIpMPW6zfvrUNERESSwnBCREREksJwQkRERJLCcEJERESSwnBCREREksJwQkRERJLCcEJERESSwnBCREREksJwQkRERJLCcEJERESSwnBCREREksJwQkRERJLS6nclbg319yo0GAwiV0JERES2qr9u/949h9tkOCkrKwMAhISEiFwJERERNVVZWRm0Wm2j78uE34svEmSxWJCfnw83NzfIZLIW3bbBYEBISAjy8vJueTtn4rFqCh4r2/FY2Y7HynY8VrZrzWMlCALKysoQGBgIubzxniVtsuVELpcjODi4Vfeh0Wh4AtuIx8p2PFa247GyHY+V7XisbNdax+pWLSb12CGWiIiIJIXhhIiIiCSF4eQ31Go1XnzxRajVarFLkTweK9vxWNmOx8p2PFa247GynRSOVZvsEEtERETtF1tOiIiISFIYToiIiEhSGE6IiIhIUhhOiIiISFIYTq7z7rvvolOnTnB0dERMTAwOHz4sdkmSs3jxYshksgaPqKgoscuSjH379mHs2LEIDAyETCbDli1bGrwvCAJeeOEFBAQEwMnJCSNGjEBmZqY4xYrs947VjBkzbjjXRo0aJU6xIkpKSsKAAQPg5uYGX19fjB8/HufOnWuwTnV1NWbPng0vLy+4urpi0qRJKCoqEqlicdlyvIYNG3bDufXkk0+KVLF4VqxYgejoaOtkazqdDtu2bbO+L+Z5xXDyi/Xr12P+/Pl48cUXcfToUfTu3RuxsbEoLi4WuzTJ6dGjBwoKCqyPH3/8UeySJKOiogK9e/fGu+++e9P3ly1bhn/96194//33cejQIbi4uCA2NhbV1dW3uVLx/d6xAoBRo0Y1ONc+++yz21ihNOzduxezZ8/GwYMHsWvXLtTU1GDkyJGoqKiwrjNv3jx8/fXX2LhxI/bu3Yv8/HxMnDhRxKrFY8vxAoDHH3+8wbm1bNkykSoWT3BwMJYuXYq0tDQcOXIE9957L8aNG4dTp04BEPm8EkgQBEEYOHCgMHv2bOtrs9ksBAYGCklJSSJWJT0vvvii0Lt3b7HLaBMACJs3b7a+tlgsgr+/v/Daa69Zl5WWlgpqtVr47LPPRKhQOn57rARBEKZPny6MGzdOlHqkrLi4WAAg7N27VxCEunNIqVQKGzdutK5z5swZAYCQkpIiVpmS8dvjJQiCcM899whz584VrygJ8/DwEP773/+Kfl6x5QSAyWRCWloaRowYYV0ml8sxYsQIpKSkiFiZNGVmZiIwMBARERGIj49Hbm6u2CW1CTk5OSgsLGxwnmm1WsTExPA8a0RycjJ8fX0RGRmJWbNmoaSkROySRKfX6wEAnp6eAIC0tDTU1NQ0OK+ioqIQGhrK8wo3Hq96a9asgbe3N3r27InExERUVlaKUZ5kmM1mrFu3DhUVFdDpdKKfV23yxn8t7erVqzCbzfDz82uw3M/PD2fPnhWpKmmKiYnB6tWrERkZiYKCAixZsgRDhw7FyZMn4ebmJnZ5klZYWAgANz3P6t+jX40aNQoTJ05EeHg4srOz8dxzzyEuLg4pKSlQKBRilycKi8WCp556CnfddRd69uwJoO68UqlUcHd3b7Auz6ubHy8AeOSRRxAWFobAwECcOHECCxcuxLlz57Bp0yYRqxVHRkYGdDodqqur4erqis2bN6N79+5IT08X9bxiOKEmiYuLsz6Pjo5GTEwMwsLCsGHDBsycOVPEyqi9efjhh63Pe/XqhejoaHTu3BnJyckYPny4iJWJZ/bs2Th58iT7edmoseP1xBNPWJ/36tULAQEBGD58OLKzs9G5c+fbXaaoIiMjkZ6eDr1ej88//xzTp0/H3r17xS6LHWIBwNvbGwqF4oZeyEVFRfD39xepqrbB3d0d3bp1Q1ZWltilSF79ucTzrHkiIiLg7e3dYc+1OXPmYOvWrfj+++8RHBxsXe7v7w+TyYTS0tIG63f086qx43UzMTExANAhzy2VSoUuXbqgf//+SEpKQu/evfH222+Lfl4xnKDuP07//v2xe/du6zKLxYLdu3dDp9OJWJn0lZeXIzs7GwEBAWKXInnh4eHw9/dvcJ4ZDAYcOnSI55kNLl26hJKSkg53rgmCgDlz5mDz5s3Ys2cPwsPDG7zfv39/KJXKBufVuXPnkJub2yHPq987XjeTnp4OAB3u3LoZi8UCo9Eo/nnV6l1u24h169YJarVaWL16tXD69GnhiSeeENzd3YXCwkKxS5OUv/3tb0JycrKQk5Mj7N+/XxgxYoTg7e0tFBcXi12aJJSVlQnHjh0Tjh07JgAQ3nzzTeHYsWPCxYsXBUEQhKVLlwru7u7Cl19+KZw4cUIYN26cEB4eLlRVVYlc+e13q2NVVlYmPP3000JKSoqQk5MjfPfdd0K/fv2Erl27CtXV1WKXflvNmjVL0Gq1QnJyslBQUGB9VFZWWtd58sknhdDQUGHPnj3CkSNHBJ1OJ+h0OhGrFs/vHa+srCzhpZdeEo4cOSLk5OQIX375pRARESHcfffdIld++z377LPC3r17hZycHOHEiRPCs88+K8hkMmHnzp2CIIh7XjGcXOedd94RQkNDBZVKJQwcOFA4ePCg2CVJzpQpU4SAgABBpVIJQUFBwpQpU4SsrCyxy5KM77//XgBww2P69OmCINQNJ37++ecFPz8/Qa1WC8OHDxfOnTsnbtEiudWxqqysFEaOHCn4+PgISqVSCAsLEx5//PEO+cfCzY4RAGHVqlXWdaqqqoT/+7//Ezw8PARnZ2dhwoQJQkFBgXhFi+j3jldubq5w9913C56enoJarRa6dOkiLFiwQNDr9eIWLoLHHntMCAsLE1QqleDj4yMMHz7cGkwEQdzzSiYIgtD67TNEREREtmGfEyIiIpIUhhMiIiKSFIYTIiIikhSGEyIiIpIUhhMiIiKSFIYTIiIikhSGEyIiIpIUhhMiIiKSFIYTIiIikhSGEyIiIpIUhhMiIiKSFIYTIiIikpT/B3kqDwq+k7DmAAAAAElFTkSuQmCC\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "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\"}\n", " ).plot(subplots=True)\n", "plt.show()\n", "print(\n", " \"Figure 7.4: Level and slope components for Holt’s linear trend method and the additive damped trend method.\"\n", ")" ] }, { "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" }, "execution": { "iopub.execute_input": "2022-11-02T17:06:49.247500Z", "iopub.status.busy": "2022-11-02T17:06:49.246361Z", "iopub.status.idle": "2022-11-02T17:06:49.667655Z", "shell.execute_reply": "2022-11-02T17:06:49.667034Z" } }, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "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(\n", " damping_trend=0.98\n", ")\n", "fcast4 = fit4.forecast(9).rename(\"Additive Damped\")\n", "fit5 = Holt(\n", " livestock2, exponential=True, damped_trend=True, initialization_method=\"estimated\"\n", ").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(\n", " \"Figure 7.5: Forecasting livestock, sheep in Asia: comparing forecasting performance of non-seasonal methods.\"\n", ")" ] }, { "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" }, "execution": { "iopub.execute_input": "2022-11-02T17:06:49.672645Z", "iopub.status.busy": "2022-11-02T17:06:49.671501Z", "iopub.status.idle": "2022-11-02T17:06:50.228914Z", "shell.execute_reply": "2022-11-02T17:06:50.228306Z" } }, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "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": [ "
\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
AdditiveMultiplicativeAdditive DamMultiplica Dam
$\\alpha$1.490116e-081.490116e-081.490116e-081.490116e-08
$\\beta$1.409865e-080.000000e+006.490761e-095.042250e-09
$\\phi$NaNNaN9.430416e-019.536043e-01
$\\gamma$7.544975e-161.889367e-157.434023e-161.273086e-16
$l_0$1.119348e+011.106376e+011.084022e+019.899296e+00
$b_0$1.205396e-011.198957e-012.456749e-011.975447e-01
SSE4.402746e+013.611262e+013.527620e+013.062033e+01
\n", "
" ], "text/plain": [ " Additive Multiplicative Additive Dam Multiplica Dam\n", "$\\alpha$ 1.490116e-08 1.490116e-08 1.490116e-08 1.490116e-08\n", "$\\beta$ 1.409865e-08 0.000000e+00 6.490761e-09 5.042250e-09\n", "$\\phi$ NaN NaN 9.430416e-01 9.536043e-01\n", "$\\gamma$ 7.544975e-16 1.889367e-15 7.434023e-16 1.273086e-16\n", "$l_0$ 1.119348e+01 1.106376e+01 1.084022e+01 9.899296e+00\n", "$b_0$ 1.205396e-01 1.198957e-01 2.456749e-01 1.975447e-01\n", "SSE 4.402746e+01 3.611262e+01 3.527620e+01 3.062033e+01" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "fit1 = ExponentialSmoothing(\n", " aust,\n", " seasonal_periods=4,\n", " trend=\"add\",\n", " seasonal=\"add\",\n", " use_boxcox=True,\n", " initialization_method=\"estimated\",\n", ").fit()\n", "fit2 = ExponentialSmoothing(\n", " aust,\n", " seasonal_periods=4,\n", " trend=\"add\",\n", " seasonal=\"mul\",\n", " use_boxcox=True,\n", " initialization_method=\"estimated\",\n", ").fit()\n", "fit3 = ExponentialSmoothing(\n", " aust,\n", " seasonal_periods=4,\n", " trend=\"add\",\n", " seasonal=\"add\",\n", " damped_trend=True,\n", " use_boxcox=True,\n", " initialization_method=\"estimated\",\n", ").fit()\n", "fit4 = ExponentialSmoothing(\n", " aust,\n", " seasonal_periods=4,\n", " trend=\"add\",\n", " seasonal=\"mul\",\n", " damped_trend=True,\n", " use_boxcox=True,\n", " initialization_method=\"estimated\",\n", ").fit()\n", "results = pd.DataFrame(\n", " index=[r\"$\\alpha$\", r\"$\\beta$\", r\"$\\phi$\", r\"$\\gamma$\", r\"$l_0$\", \"$b_0$\", \"SSE\"]\n", ")\n", "params = [\n", " \"smoothing_level\",\n", " \"smoothing_trend\",\n", " \"damping_trend\",\n", " \"smoothing_seasonal\",\n", " \"initial_level\",\n", " \"initial_trend\",\n", "]\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(\n", " figsize=(10, 6),\n", " marker=\"o\",\n", " color=\"black\",\n", " title=\"Forecasts from Holt-Winters' multiplicative method\",\n", ")\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(\n", " ax=ax, style=\"--\", marker=\"o\", color=\"red\", legend=True\n", ")\n", "fit2.forecast(8).rename(\"Holt-Winters (add-mul-seasonal)\").plot(\n", " ax=ax, style=\"--\", marker=\"o\", color=\"green\", legend=True\n", ")\n", "\n", "plt.show()\n", "print(\n", " \"Figure 7.6: Forecasting international visitor nights in Australia using Holt-Winters method with both additive and multiplicative seasonality.\"\n", ")\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": { "execution": { "iopub.execute_input": "2022-11-02T17:06:50.233823Z", "iopub.status.busy": "2022-11-02T17:06:50.232694Z", "iopub.status.idle": "2022-11-02T17:06:50.364337Z", "shell.execute_reply": "2022-11-02T17:06:50.363668Z" } }, "outputs": [], "source": [ "fit1 = ExponentialSmoothing(\n", " aust,\n", " seasonal_periods=4,\n", " trend=\"add\",\n", " seasonal=\"add\",\n", " initialization_method=\"estimated\",\n", ").fit()\n", "fit2 = ExponentialSmoothing(\n", " aust,\n", " seasonal_periods=4,\n", " trend=\"add\",\n", " seasonal=\"mul\",\n", " initialization_method=\"estimated\",\n", ").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" }, "execution": { "iopub.execute_input": "2022-11-02T17:06:50.369851Z", "iopub.status.busy": "2022-11-02T17:06:50.368633Z", "iopub.status.idle": "2022-11-02T17:06:50.392429Z", "shell.execute_reply": "2022-11-02T17:06:50.391807Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/tmp/ipykernel_5863/776371549.py:6: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n", " df.append(fit1.forecast(8).rename(r\"$\\hat{y}_t$\").to_frame(), sort=True)\n" ] }, { "data": { "text/html": [ "
\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
$\\hat{y}_t$$b_t$$l_t$$s_t$$y_t$
2005-01-0144.5841280.59782234.29758010.28654841.7275
2005-04-0124.9381890.59782234.895402-9.95721324.0418
2005-07-0133.0057650.59782235.493224-2.48745832.3281
2005-10-0137.0311070.59782236.0910460.94006237.3287
2006-01-0146.9754150.59782236.68886810.28654846.2132
2006-04-0127.3294770.59782237.286690-9.95721329.3463
2006-07-0135.3970530.59782237.884512-2.48745836.4829
2006-10-0139.4223950.59782238.4823340.94006242.9777
2007-01-0149.3667030.59782239.08015610.28654848.9015
2007-04-0129.7207650.59782239.677978-9.95721331.1802
2007-07-0137.7883410.59782240.275800-2.48745837.7179
2007-10-0141.8136830.59782240.8736220.94006240.4202
2008-01-0151.7579910.59782241.47144410.28654851.2069
2008-04-0132.1120530.59782242.069266-9.95721331.8872
2008-07-0140.1796290.59782242.667088-2.48745840.9783
2008-10-0144.2049710.59782243.2649100.94006243.7725
2009-01-0154.1492790.59782243.86273210.28654855.5586
2009-04-0134.5033410.59782244.460554-9.95721333.8509
2009-07-0142.5709170.59782245.058376-2.48745842.0764
2009-10-0146.5962590.59782245.6561970.94006245.6423
2010-01-0156.5405670.59782246.25402010.28654859.7668
2010-04-0136.8946280.59782246.851841-9.95721335.1919
2010-07-0144.9622050.59782247.449663-2.48745844.3197
2010-10-0148.9875470.59782248.0474850.94006247.9137
2011-01-0158.931855NaNNaNNaNNaN
2011-04-0139.285916NaNNaNNaNNaN
2011-07-0147.353493NaNNaNNaNNaN
2011-10-0151.378835NaNNaNNaNNaN
2012-01-0161.323143NaNNaNNaNNaN
2012-04-0141.677204NaNNaNNaNNaN
2012-07-0149.744781NaNNaNNaNNaN
2012-10-0153.770123NaNNaNNaNNaN
\n", "
" ], "text/plain": [ " $\\hat{y}_t$ $b_t$ $l_t$ $s_t$ $y_t$\n", "2005-01-01 44.584128 0.597822 34.297580 10.286548 41.7275\n", "2005-04-01 24.938189 0.597822 34.895402 -9.957213 24.0418\n", "2005-07-01 33.005765 0.597822 35.493224 -2.487458 32.3281\n", "2005-10-01 37.031107 0.597822 36.091046 0.940062 37.3287\n", "2006-01-01 46.975415 0.597822 36.688868 10.286548 46.2132\n", "2006-04-01 27.329477 0.597822 37.286690 -9.957213 29.3463\n", "2006-07-01 35.397053 0.597822 37.884512 -2.487458 36.4829\n", "2006-10-01 39.422395 0.597822 38.482334 0.940062 42.9777\n", "2007-01-01 49.366703 0.597822 39.080156 10.286548 48.9015\n", "2007-04-01 29.720765 0.597822 39.677978 -9.957213 31.1802\n", "2007-07-01 37.788341 0.597822 40.275800 -2.487458 37.7179\n", "2007-10-01 41.813683 0.597822 40.873622 0.940062 40.4202\n", "2008-01-01 51.757991 0.597822 41.471444 10.286548 51.2069\n", "2008-04-01 32.112053 0.597822 42.069266 -9.957213 31.8872\n", "2008-07-01 40.179629 0.597822 42.667088 -2.487458 40.9783\n", "2008-10-01 44.204971 0.597822 43.264910 0.940062 43.7725\n", "2009-01-01 54.149279 0.597822 43.862732 10.286548 55.5586\n", "2009-04-01 34.503341 0.597822 44.460554 -9.957213 33.8509\n", "2009-07-01 42.570917 0.597822 45.058376 -2.487458 42.0764\n", "2009-10-01 46.596259 0.597822 45.656197 0.940062 45.6423\n", "2010-01-01 56.540567 0.597822 46.254020 10.286548 59.7668\n", "2010-04-01 36.894628 0.597822 46.851841 -9.957213 35.1919\n", "2010-07-01 44.962205 0.597822 47.449663 -2.487458 44.3197\n", "2010-10-01 48.987547 0.597822 48.047485 0.940062 47.9137\n", "2011-01-01 58.931855 NaN NaN NaN NaN\n", "2011-04-01 39.285916 NaN NaN NaN NaN\n", "2011-07-01 47.353493 NaN NaN NaN NaN\n", "2011-10-01 51.378835 NaN NaN NaN NaN\n", "2012-01-01 61.323143 NaN NaN NaN NaN\n", "2012-04-01 41.677204 NaN NaN NaN NaN\n", "2012-07-01 49.744781 NaN NaN NaN NaN\n", "2012-10-01 53.770123 NaN NaN NaN NaN" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df = pd.DataFrame(\n", " 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\"$\\hat{y}_t$\"],\n", " index=aust.index,\n", ")\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" }, "execution": { "iopub.execute_input": "2022-11-02T17:06:50.397093Z", "iopub.status.busy": "2022-11-02T17:06:50.395958Z", "iopub.status.idle": "2022-11-02T17:06:50.417946Z", "shell.execute_reply": "2022-11-02T17:06:50.417371Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/tmp/ipykernel_5863/3145826131.py:6: FutureWarning: The frame.append method is deprecated and will be removed from pandas in a future version. Use pandas.concat instead.\n", " df.append(fit2.forecast(8).rename(r\"$\\hat{y}_t$\").to_frame(), sort=True)\n" ] }, { "data": { "text/html": [ "
\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
$\\hat{y}_t$$b_t$$l_t$$s_t$$y_t$
2005-01-0143.0053880.62093435.0160021.22816441.7275
2005-04-0126.3529490.62093435.6369360.73948424.0418
2005-07-0133.2847280.62093436.2578700.91800032.3281
2005-10-0136.7195080.62093436.8788040.99568137.3287
2006-01-0146.0558230.62093437.4997381.22816446.2132
2006-04-0128.1896330.62093438.1206720.73948429.3463
2006-07-0135.5647990.62093438.7416060.91800036.4829
2006-10-0139.1925160.62093439.3625400.99568142.9777
2007-01-0149.1062580.62093439.9834741.22816448.9015
2007-04-0130.0263160.62093440.6044080.73948431.1802
2007-07-0137.8448690.62093441.2253420.91800037.7179
2007-10-0141.6655240.62093441.8462770.99568140.4202
2008-01-0152.1566930.62093442.4672111.22816451.2069
2008-04-0131.8630000.62093443.0881450.73948431.8872
2008-07-0140.1249390.62093443.7090790.91800040.9783
2008-10-0144.1385310.62093444.3300130.99568143.7725
2009-01-0155.2071280.62093444.9509471.22816455.5586
2009-04-0133.6996830.62093445.5718810.73948433.8509
2009-07-0142.4050090.62093446.1928150.91800042.0764
2009-10-0146.6115390.62093446.8137490.99568145.6423
2010-01-0158.2575630.62093447.4346831.22816459.7668
2010-04-0135.5363670.62093448.0556170.73948435.1919
2010-07-0144.6850790.62093448.6765510.91800044.3197
2010-10-0149.0845470.62093449.2974850.99568147.9137
2011-01-0161.307998NaNNaNNaNNaN
2011-04-0137.373051NaNNaNNaNNaN
2011-07-0146.965149NaNNaNNaNNaN
2011-10-0151.557555NaNNaNNaNNaN
2012-01-0164.358434NaNNaNNaNNaN
2012-04-0139.209734NaNNaNNaNNaN
2012-07-0149.245220NaNNaNNaNNaN
2012-10-0154.030563NaNNaNNaNNaN
\n", "
" ], "text/plain": [ " $\\hat{y}_t$ $b_t$ $l_t$ $s_t$ $y_t$\n", "2005-01-01 43.005388 0.620934 35.016002 1.228164 41.7275\n", "2005-04-01 26.352949 0.620934 35.636936 0.739484 24.0418\n", "2005-07-01 33.284728 0.620934 36.257870 0.918000 32.3281\n", "2005-10-01 36.719508 0.620934 36.878804 0.995681 37.3287\n", "2006-01-01 46.055823 0.620934 37.499738 1.228164 46.2132\n", "2006-04-01 28.189633 0.620934 38.120672 0.739484 29.3463\n", "2006-07-01 35.564799 0.620934 38.741606 0.918000 36.4829\n", "2006-10-01 39.192516 0.620934 39.362540 0.995681 42.9777\n", "2007-01-01 49.106258 0.620934 39.983474 1.228164 48.9015\n", "2007-04-01 30.026316 0.620934 40.604408 0.739484 31.1802\n", "2007-07-01 37.844869 0.620934 41.225342 0.918000 37.7179\n", "2007-10-01 41.665524 0.620934 41.846277 0.995681 40.4202\n", "2008-01-01 52.156693 0.620934 42.467211 1.228164 51.2069\n", "2008-04-01 31.863000 0.620934 43.088145 0.739484 31.8872\n", "2008-07-01 40.124939 0.620934 43.709079 0.918000 40.9783\n", "2008-10-01 44.138531 0.620934 44.330013 0.995681 43.7725\n", "2009-01-01 55.207128 0.620934 44.950947 1.228164 55.5586\n", "2009-04-01 33.699683 0.620934 45.571881 0.739484 33.8509\n", "2009-07-01 42.405009 0.620934 46.192815 0.918000 42.0764\n", "2009-10-01 46.611539 0.620934 46.813749 0.995681 45.6423\n", "2010-01-01 58.257563 0.620934 47.434683 1.228164 59.7668\n", "2010-04-01 35.536367 0.620934 48.055617 0.739484 35.1919\n", "2010-07-01 44.685079 0.620934 48.676551 0.918000 44.3197\n", "2010-10-01 49.084547 0.620934 49.297485 0.995681 47.9137\n", "2011-01-01 61.307998 NaN NaN NaN NaN\n", "2011-04-01 37.373051 NaN NaN NaN NaN\n", "2011-07-01 46.965149 NaN NaN NaN NaN\n", "2011-10-01 51.557555 NaN NaN NaN NaN\n", "2012-01-01 64.358434 NaN NaN NaN NaN\n", "2012-04-01 39.209734 NaN NaN NaN NaN\n", "2012-07-01 49.245220 NaN NaN NaN NaN\n", "2012-10-01 54.030563 NaN NaN NaN NaN" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df = pd.DataFrame(\n", " 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\"$\\hat{y}_t$\"],\n", " index=aust.index,\n", ")\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" }, "execution": { "iopub.execute_input": "2022-11-02T17:06:50.422582Z", "iopub.status.busy": "2022-11-02T17:06:50.421461Z", "iopub.status.idle": "2022-11-02T17:06:51.374908Z", "shell.execute_reply": "2022-11-02T17:06:51.374280Z" } }, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "states1 = pd.DataFrame(\n", " np.c_[fit1.level, fit1.trend, fit1.season],\n", " columns=[\"level\", \"slope\", \"seasonal\"],\n", " index=aust.index,\n", ")\n", "states2 = pd.DataFrame(\n", " np.c_[fit2.level, fit2.trend, fit2.season],\n", " columns=[\"level\", \"slope\", \"seasonal\"],\n", " index=aust.index,\n", ")\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": { "execution": { "iopub.execute_input": "2022-11-02T17:06:51.379998Z", "iopub.status.busy": "2022-11-02T17:06:51.378869Z", "iopub.status.idle": "2022-11-02T17:06:52.042785Z", "shell.execute_reply": "2022-11-02T17:06:52.042149Z" } }, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fit = ExponentialSmoothing(\n", " aust,\n", " seasonal_periods=4,\n", " trend=\"add\",\n", " seasonal=\"mul\",\n", " initialization_method=\"estimated\",\n", ").fit()\n", "simulations = fit.simulate(8, repetitions=100, error=\"mul\")\n", "\n", "ax = aust.plot(\n", " figsize=(10, 6),\n", " marker=\"o\",\n", " color=\"black\",\n", " title=\"Forecasts and simulations from Holt-Winters' multiplicative method\",\n", ")\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(\n", " ax=ax, style=\"--\", marker=\"o\", color=\"green\", legend=True\n", ")\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": { "execution": { "iopub.execute_input": "2022-11-02T17:06:52.047821Z", "iopub.status.busy": "2022-11-02T17:06:52.046703Z", "iopub.status.idle": "2022-11-02T17:06:52.761960Z", "shell.execute_reply": "2022-11-02T17:06:52.761300Z" } }, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fit = ExponentialSmoothing(\n", " aust,\n", " seasonal_periods=4,\n", " trend=\"add\",\n", " seasonal=\"mul\",\n", " initialization_method=\"estimated\",\n", ").fit()\n", "simulations = fit.simulate(\n", " 16, anchor=\"2009-01-01\", repetitions=100, error=\"mul\", random_errors=\"bootstrap\"\n", ")\n", "\n", "ax = aust.plot(\n", " figsize=(10, 6),\n", " marker=\"o\",\n", " color=\"black\",\n", " title=\"Forecasts and simulations from Holt-Winters' multiplicative method\",\n", ")\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(\n", " ax=ax, style=\"--\", marker=\"o\", color=\"green\", legend=True\n", ")\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": "3.10.8" }, "latex_envs": { "LaTeX_envs_menu_present": true, "autocomplete": true, "bibliofile": "biblio.bib", "cite_by": "apalike", "current_citInitial": 1, "eqLabelWithNumbers": true, "eqNumInitial": 1, "hotkeys": { "equation": "Ctrl-E", "itemize": "Ctrl-I" }, "labels_anchors": false, "latex_user_defs": false, "report_style_numbering": false, "user_envs_cfg": false }, "toc": { "colors": { "hover_highlight": "#DAA520", "navigate_num": "#000000", "navigate_text": "#333333", "running_highlight": "#FF0000", "selected_highlight": "#FFD700", "sidebar_border": "#EEEEEE", "wrapper_background": "#FFFFFF" }, "moveMenuLeft": true, "nav_menu": { "height": "98px", "width": "252px" }, "navigate_menu": true, "number_sections": false, "sideBar": true, "threshold": 4, "toc_cell": false, "toc_section_display": "block", "toc_window_display": true, "widenNotebook": false } }, "nbformat": 4, "nbformat_minor": 4 }