{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Seasonality in time series data\n",
    "\n",
    "Consider the problem of modeling time series data with multiple seasonal components with different periodicities.  Let us take the time series $y_t$ and decompose it explicitly to have a level component and two seasonal components.\n",
    "\n",
    "$$\n",
    "y_t = \\mu_t + \\gamma^{(1)}_t + \\gamma^{(2)}_t\n",
    "$$\n",
    "\n",
    "where $\\mu_t$ represents the trend or level, $\\gamma^{(1)}_t$ represents a seasonal component with a relatively short period, and $\\gamma^{(2)}_t$ represents another seasonal component of longer period. We will have a fixed intercept term for our level and consider both $\\gamma^{(2)}_t$ and $\\gamma^{(2)}_t$ to be stochastic so that the seasonal patterns can vary over time.\n",
    "\n",
    "In this notebook, we will generate synthetic data conforming to this model and showcase modeling of the seasonal terms in a few different ways under the unobserved components modeling framework."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import statsmodels.api as sm\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Synthetic data creation\n",
    "\n",
    "We will create data with multiple seasonal patterns by following equations (3.7) and (3.8) in Durbin and Koopman (2012).  We will simulate 300 periods and two seasonal terms parametrized in the frequency domain having periods 10 and 100, respectively, and 3 and 2 number of harmonics, respectively.  Further, the variances of their stochastic parts are 4 and 9, respectively."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "# First we'll simulate the synthetic data\n",
    "def simulate_seasonal_term(periodicity, total_cycles, noise_std=1.,\n",
    "                           harmonics=None):\n",
    "    duration = periodicity * total_cycles\n",
    "    assert duration == int(duration)\n",
    "    duration = int(duration)\n",
    "    harmonics = harmonics if harmonics else int(np.floor(periodicity / 2))\n",
    "\n",
    "    lambda_p = 2 * np.pi / float(periodicity)\n",
    "\n",
    "    gamma_jt = noise_std * np.random.randn((harmonics))\n",
    "    gamma_star_jt = noise_std * np.random.randn((harmonics))\n",
    "\n",
    "    total_timesteps = 100 * duration # Pad for burn in\n",
    "    series = np.zeros(total_timesteps) \n",
    "    for t in range(total_timesteps):\n",
    "        gamma_jtp1 = np.zeros_like(gamma_jt)\n",
    "        gamma_star_jtp1 = np.zeros_like(gamma_star_jt)\n",
    "        for j in range(1, harmonics + 1):\n",
    "            cos_j = np.cos(lambda_p * j)\n",
    "            sin_j = np.sin(lambda_p * j)\n",
    "            gamma_jtp1[j - 1] = (gamma_jt[j - 1] * cos_j\n",
    "                                 + gamma_star_jt[j - 1] * sin_j\n",
    "                                 + noise_std * np.random.randn())\n",
    "            gamma_star_jtp1[j - 1] = (- gamma_jt[j - 1] * sin_j\n",
    "                                      + gamma_star_jt[j - 1] * cos_j\n",
    "                                      + noise_std * np.random.randn())\n",
    "        series[t] = np.sum(gamma_jtp1)\n",
    "        gamma_jt = gamma_jtp1\n",
    "        gamma_star_jt = gamma_star_jtp1\n",
    "    wanted_series = series[-duration:] # Discard burn in\n",
    "\n",
    "    return wanted_series"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
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EYE/rnejRYbLG5jSkfGK4DpFMF4mHdKIhnanMFERPYS3tBzQPMSjycGc+v23b2yA0wUR2+Gp1e8OjYFqEAxpPjz/NbR23cfc2NQ3nQjJbGoe5TLFkmboImzvI2NNqLH3UFa7Fn7VnOJY8xuv63lT6ThFDwEk+m8sIe0/r7Qi9wLnFM6va3AzwieE6xHymSHMsBMC3zn0LhCQ1o6pf+lrURuazLjE4Suj1A6oKY6xw8Ep3d1NASknBtNG0IifmTnDnljv5f992E3dtbeU9dw8Sd8qFk5liKfHsIi53AfD89PNXvN8bHW7y+HxGbZT0mr7Xlr6Lh8uhpFzRKnkMAHvb1ft0evGFK9fZawj+stvXIfKmVQpN/Gj0RzSwjZTRBlDyGGacUFLYsYK64l1E5ABJeegq9Hjjw7AkUsKiHMKSFvs69xEO6DzwG/cAcPTiIqBWYN3aFlv2v036IAsyzBOjz9AuXs7LtrZe8f5vVBSceQinlp6ht6GXG9u2o4oeKYWSipZNKm8u8+R6E93YxVaGUkeuRrevOnyP4TpEwbAJBzWWikscmT3CQHRf6Tt3G8/kCo8BoEPbR147x3x+/sp2eBPAVUAzxikEgr2de5d97xI5lJcncdEQDhO1d/DYyAF+9R+eXf/ObiIoj8Hk1OIhXtn7SqLBsi0cD3lyP9liKdwHKidhZbcykj26KddL8onhOkTBqX55duJZLGnxG3f9NK/a1c5dW1tpiqqyyNkVOQaA3vBeEJLnp/yQRb3hJjmnCifZ2bKTxlDjsu/dUBKoajIvYqEAenEbS9YY6WJ201bCrAcKpoUWGado53l598vRNMErd7YDMOsJ663M/USCGmZ2GzlriQ9/62H+7LubqzjAJ4brEG7N9ZPjTxILxHjlwJ184X0v54HfuKekgGY9VUku+uO7kXaAg1N+nqHeUMRgczF/gn0d+1Z9H63hMcTDOnahB5BokYnSJDgfa0fesNFjFwDY16nG5S/erby5V+1sL3kMC1ljmVenPIZtADx18SBPrdimdaPDJ4brEK7H8NTEU9zVdRdBLVj6rkwMq0NJLdEYVm6Ag5PPcWYqdWU7vcFRMCy08CRFO8ftnbev+j4WrEUMAfIZtYKMHrlYWiXXx9pRMC302AW6Y320R5Wn0NUU4fSf/DS/9urty94Pt6ADIKhraFY7Ua2ZtDjFwiZbldgnhusQBdPC1mcZTY1yT889y75zFdCsswR02PPgN0aDWNltnJo/xZs+/n1G57JXrtMbHEXLRo+pUmDXMvUioGuEnNnOK0NJ/S0x5peiSDOOHrnIgu8x1A25ooUeHeaWtuU5H3csvJ6cuyCli0hAp1XfhaGPbrp9THxiuA6RN2wy2nEAfqrnp5Z9p2nC2aVKxaljKx58K7sNiY0WGfb3gK4jCoaNHh2mKdhGb0PFbURKY9GxwmPY0REHBFa+Fy0yzsImU0LriancGFogU9GLA5aVqK4ihqBOXAwggzMsFTKlnRE3A3xiuA5RMC0WOUFXvIvBxsFV37vhpPaGMEG9PMSDbSqUhNTQY+eZy/iWab1QMBUx7Gi8hWpblccdJdS+QgHt6GwAwMr3oIWnmEln1rezmwjDmWMA3LFltRcHK6r2KhCDLPYghESEpkhtouVkfGK4DpE3LeatU9zReUdFJdTgEEN3U2TZ8cG2OMgQVq4PPXa+VNLqY+2YzSXRQvPsbLqpqowbtmiLLw8lDbTGCGgCO9+DEDbnl4bWta+bCWO5E0grwo2tOyt+7w0lda4ghnBAI5/eAoAeGd9U4SSfGK5DFOQseblQMZYNZY9hJTE0hAN0JMKY2W3o0TEmU34Cul44u6DKGW9o3lNVJhbS0QS0xJYTQ1DXlDeXVyGo4dTp9evoJsNk4QR2bisBXa/4/cpQqxfhoM7sYgxpRdAiE5sqAe0Tw3UGKSVW6DxQOckJqvwRVhMDwNa2GFZuECEszi2dWr+ObjKcT51ESsHulhurysRCOq3xMJq22svb0dGAMFvBjjCZ9z2GemA+P8+SdRG9uK2qzLKqvRWE3d4QYnqpiJXvRg9PbCqPwV8S4zqDYUm06AVCIsbO5srusYuupuiqY4NtcQ6OKct0IucroHphJHMKu9hBcyRRVaa9IVx145c37elC1wTP5vuZ186tVzc3FZ6dVLPIg8buqjLeUJK+grDdVQTsQjfB5oPMZTdP6NUnhusMBVOV33VFdqNrld3jVF4trd3TXNljkGYj0mxgFl8B1QNSSsayp7BzO0prU1XCH/7sHopmZWL4+Tv7+Pk7+3jdZwZJyh9h2VbV8fVxeTgwcQCdCFG5ukDDhbthUiX0OMRg5bsJaUVGFkdYvi39xoUfSrrOMJtZRAtP0R+rHst2N+Nxt5P04p4d7Qy0xmnUtpLBX4K7HpjITJC1FrHy/YQD1ZV5e0O4pGyqoSXUjxQG45nxendz0+GZyWdoEjcQCQSrylSrIIPlHgPAhdTmWYK7Xns+f0YIMS2EOOo51iqE+IEQ4ozzu8Xz3e8KIc4KIU4JId7sOX6ns0/0WSHEx0WtUdukeGH2BYSQbGuoTgyux9BdIZR052ALj/+319Ed3YmpT1CwNo97vF44OqseeyvXV9MCvRx0hgcAOL94fs392syYzc1yYekCcfuGVcucV0LrikoxKHsMmtGFlBoXs5sn9Fovj+GzwFtWHPsw8IiUchfwiPM3QoibgfuAPc7//J0Qwh25TwDvB3Y5Pyvb3PR4cfYwUmpsS1Qvi3yFs0jYlqZwVZm++E4QNieTfgXMWnE0eRSNAHahe83E0BNXYQ+fGNaG40k1ATRkbb0kMTz8wVfzg99+9arj7hL2TZEYutnJTGHzjEldiEFK+Tgwt+LwO4DPOZ8/B7zTc/x+KWVBSnketTj6XUKIbqBRSvmUVOvcft7zPz4cnJg7gl3ooinSUFXmL9+9l8d+57U1wxo7m1T1zHOTm3O9+Xri6OxRWgKD6CJIQF/bK9UUasY24wwtbB7rtN6YTRc4kVTlw6LYc0my3tmZoK1htRHV1RRBCGiKBgnLPhbt0XXp77WI9cwxbJFSTgA4vzud472A9w6POcd6nc8rj6+CEOL9QoiDQoiDMzMzde/4tQrLtji7eAIrN1DzYY8Edba2x2u2ta2pH2lFODqzuZYTrjdsaXMieYKWwHZCayQFUMs928UOhhaUdbqZlmGoB2bTBfb/ycN86+SzDCQGMMzQZYWSKiGoa2xJREhEgzSIXookyRqbY32xq5F8rpQ3kDWOrz4o5SellPullPs7Ojrq2rlrGecXz5O3sli52knOy0E8HMDK9zK06M9lWAsupi6SNtI0iMGaFUmXi0hQxy50cmHpPF85OMqO3/tOaaVcH5eGOwnt/NIZbmq7SW1qtYbw3i29jWxvj9Ooq2qkzeLJrScxTDnhIZzf087xMaDfI9cHjDvH+yoc9+HgxdkXAZTHsEYlFA5q2PleRtJnMWwDKaW/qN5LwPE5FcuOy61rzi9A2WNYKi7y0HG1BeXfPbo5lFE9kDcs0LJooTl2Nt1A3rResscA8L9/+Q7+58/dViKGswtn69XVaxrrSQzfBN7rfH4v8A3P8fuEEGEhxDZUkvkZJ9yUEkLc7VQj/Yrnf3wAL868SFRPIIttRNboMUSDOla+B1ManJw9y9v/9gle8dEfcmx8sU693Rw4OXeSgAgQsrvX7MVB2WMAiMTV5jBfPDDs7+p2mcgWLfTIBACy0LtmjyEc0AkFNJoC3SCDPjH8JBBCfBl4CrhBCDEmhHgf8FHgXiHEGeBe52+klMeAB4DjwEPAB6SU7lP/m8CnUAnpIeC79ejfRsGR2SP0xXYD2po9hmhIxy50AfDQmcMcvbgEwEhyc8RQ64UTcyfY3rwd09br4jGEAzp2UYVHk0WViiuaNjMpP5x0OcgZFlrkIgB2ocfZ7bAehB1AM7ZsmlBSXWY+Syl/scpXb6gi/xHgIxWOHwRuqUefNhqyRpazC2d5Zft9QO0Zm5eDSEDHLrSjoTO8NASodZeS/lLcl43/8a1jHF46xhsHX8PEnF2nHIOGNJoJaWEWzDFALecwncrT3xpbc/sbHbmihR4ZxzYakWbc2e2wPrkfaXRwYenC2jt5HcCf+Xyd4FjyGLa06QztAlizFaTWiAnQGupjPFuuz573ieGy8Q8HXiRjLjDYsKu03epaocZVY0u0n5Q1TlBXNRnTS77HcDnIGSZaZBw730uqYKpxqYPHEA5oWIU2JjITGNbGX0zPJ4brBC/OqMRza0AtnFcPjwGgNTTAVL68NIbvMVwepJSlkMWZsSYKplWnclU1Lp2RAXJMsLVNlR1P+6Gky8JiPosWmsHK95SMnLqE+IIaRqEVW9p85sBz/Oo/PMM3Dl9cc7vXKnxiuE5wZPYIg42DaFJNbFurdRoJqaFv0vtZMqdAFOltjvq7ul0msk7IQkpBeqnTsUzrkWNQbbSG+jBEkp4WHV0TTKfya257I0JKyY9Oz/ClAyPkihajmSGEkITtfmbT6lmuS44hoGMW2gD4zsmjPHpqhj/85jHUXNyNB3911esAQzNpDk0d4e6e/RTyFkJQCjG8VIR0DSGgQVNzCCOxGToSncz7G9FfFjIFEy08jiy2kZMBCka+brFsQFXBAFponvaGqB9KqoJj40u89zPPAGqG8nhGLXTXGtjGxKIi08bI2tVcOKghi4oYUtYk0M181mA4mb3kZNLrEb7HcB3gnX//XeYK0+xuvom8aRMJ6DVXhbwcCCGIBnUiUlUmRWJztMVDJNM+MVwO0gUTPXIRK99DKm+SN6065RjUK5nQFTHIwDSdiYgfSqqC01PlXQgXcwaThXNIM0ZrpJNxZ15OU7T66qqXi3BAR1px4oE4WXuSwTZVCHBodH7NbV+L8InhOkBWjAAwMd1BwbDqErIAZZ3qdhsgCEaStMRDvsdwmZhKz6OFFqDYSypvksqbNEbXbpm6uZ+oUHMZDG2GzkTYJ4YqGJpJlz6n8gazxXOIYi8N4WBpx7X6EIMGCLrj/RSYZl9/M7GQzuGRhTW3fS3CJ4brAO2tU0gpePpkuG7ld6AmuRlmgBCtiGBSeQyZ4oaNm9YTJ+bUGlNN+laW8gYL2WJdFJAbSpJ2FGnGycspOhJhfx5DFZybybCtPY4mYDGfY8kaRbf6aAiXSbopVr9x6Yr1YuozNEaD7O1r5vCoTww+rhLy2jB2oZO5lCBv1CdkASpumjMsQnYnMjBDSzxE0bTJFP1ZtpfC0KJarrw7soPpVAFbQnN09Zr+Pylc0l/MGtjFNjJyis5EmGSmgGlV3v1tM2NoJs2OjgYawgHGM8PYmESsAeIeYmiM1MtjgI5ILzIwRzQk2NoeY3xxYxYF+MRwjUNKiRUcxc73spgzSOXNZdbQWhAN6uSLFprVgaFN0+JYVv5chsq4uJDjQ195gafPJbmQOo1tNNLX1FFaAbUelqmmCUIBjWSmiF1sY8mcoCMRRkqY88N8y2DZkguzWXZ0xElEgkzk1azkuBhc7jHUI5TkhG+bg90IYUNgnpZYiPkN6mH7VUnXICYX8wR0QXtDmJGlCUQgBcV+MkWL2XSBlvjaH3RQ7nHetLCL7VjBLOGQsn6SmaI/y3YF8obFO//3j5lJFRACLhpD2PkeurvL26fWQwEBRAIac5kittFOyjxEQ1QpnrlMkc7E6u1aNyvG5rMULZsdHQ0kIgHmjHNoMkyD3kU8rLzqgCaIhepTrgoQcXYPKDJNb7wH05Ys5c26jf21At9juMbww5NTvP4vH+O+Tz6Nadk872yk0xlWE9uG57I0x9YesgDlMeSKFlZeleEVtSnA9xgq4bFTM6U4/0Iuw1xxDCvfQ5dn+9TmehFDUC95DACmNgvAnF8xtgwX51XVUV9rlEQkwJI9TNjuIxYMlkJJTdHgmiv4oOwxaJZaxyorp2lx3sON+L74xHCN4S++d5qgrnF2Os0/PzfGkZmjzlaeihgWskYp5LNWRII6ecMml1PbcaftScCf/VwJ33phnPaGEC/b2sJ49jwSG7vQw5bG8s5f9SLscFBjLlPALqotWnNSEbY/LsvhVmp1JiI0RHRyYhTd7CcW0kuhpHpZ8m5eL5+LI+0gKWuS1qxKV8kAACAASURBVAY13hsxxOcTwzWGmXSBn76lixu7Enzt0EVOzh/HLmxhsLW5JNNSJwUUCWrkDYtspgmBYK6otr/YiBbQWmDZkkdOTvGWW7robIyQNNTaUhF7gIQnsVm/UJLOXLrsMSyaahlpv5R4OVwPrrMxjB5KIkUBUewlEtKJhxQxJOrmxSlVOZdV47JgTNDqeww+rgRsWzKXKdLeEOaGrgTji1nOLZ3EyvXR31KO+dczlLSYM7BsnUSgk6nsGEFd+JbpCsxliuQNm91bEnQ0hEnLYYLEientJDyzapvr6MllihbYURLBZmbzak0ef/Lhckyn1GzzRDiAEVDrfVm5XqJBfVkoqR5wPYakQ9izhTFa4+o93Ijvi08M1xCW8gaWLWmNh+hqjDCdnSRjLmHn++hvXb9YNkBrqJfhpWFaYiHmMn7NvBfuOkWdiTBt8RBWcIwo/TSEg6XlFsIBrS5r8kDZOgXobehnLD1KUzTor2O1AtOpAp2NYYQQZBlG2kHyuXaiQb1E2PUjBjUmSSfEN5OboCmqxtv3GHysK9xFv9oaQnQ2RrCDasazle9dViVUr6qkqKdaoyPSy0hqhJZ4kLnMxl9W+CeBG7LoSIRpbQighSexcj00hAOlUFI9q1K8BDOQGGB4aZi2eMgnhhWYSRVKVVoL9jnsfA9LOZtYyOsx1Kfw0vUY5jJFpNGGKQ1S5iyhgObnGHysL5LOpu/tDWG6GiNokYsIAtiFrmXEUK9QUsQzg7o71kfGyNAYL/gewwp4k5yWPoXQTBYXO2kIB0pJznqFkWD5yrnbmgaZyk7RHFfWqo8yplMFOhrCWLZFsngOK9+LlIpYG5xy1bp5DI4Xl/TkfkbTo7Q6cxk2GtadGIQQF4QQR4QQh4UQB51jrUKIHwghzji/WzzyvyuEOCuEOCWEePN69+9aghvWaWsI0dUURo+OEjB7CGpBEuFAqR67bslnj8fQ1zCgjkXnmM/6HoMXXo9h0b4AQCHTTdwZE10TdZn17MINJTWEA2xt6gcgFltk3vfklmHGCSWdXzyPIQtYuT5AecKux1CPWc/gDSWViWFkaYSWeGhDethXymN4nZTydinlfufvDwOPSCl3AY84fyOEuBm4D9gDvAX4OyFEfQK31wFcj6EtHqY1HkCPjpJL9dMYUbXYrvVTt3JVj2U62KiIQQvNlvrhQ2EmVSARCRAJ6kwXziHtAHaxnYZwACEEDeEAjesQSrpzsIUBZ1xC0fkNmeR8qcgbFos5g46GMMeSxwCw84oYYiGdzkSE+17Wz+tu7KzL+YRQM9IBoloLYT3MaGrUCfFtvPflaoWS3gF8zvn8OeCdnuP3SykLUsrzwFngrqvQv6sC98VviQVZsC4gNAMjM7gskSZE/awgb47h7sFdBEQAS59hKW9i+OvylDCTKtCRUPMVRtJnsAvdQDnBubUtxvaO+q3JnzPUWlV3bWulL6GUnQwkmc8Wse2Nt/zCS4G3VPVY8hhhPVqa9xENKi/uoz93G7u3JOp2Tjf0Gg+H6E/0M7I0QnMsuCE97CtBDBL4vhDiOSHE+51jW6SUEwDOb5fWe4FRz/+OOceWQQjxfiHEQSHEwZmZmXXs+pVFMl2kJRYkoGscTb4AgJUbpMkJHTVFgzRFg2ja2mdyglouAOCm7kZaY1F6E73kcWY/b8CE2kvFdCpPZyKMlJIzC6eg2APAe+4eBOD+99/Dh958Q93Od2RsEVDE0BJuIR6MY4gZLFuSypt1O8/1jFlPPu5Y8hjbEjfgqrPX3NCxLud0945OhAOKGFIjxEMBchtw0ckrQQyvkFLeAfw08AEhxKtryFbSeKtMJCnlJ6WU+6WU+zs61uchuBpIZgq0NSjL9ND0IexiC9Js4pdfrsIJbQ0h2hvCtZr4iWA61ue771RW6UBigCVLTabyK2DKcKtfLqYvkiqm+C+vfh1H/vBN7HKs0WhIJ1iH/Z5dvNZRbLf1NSGEoK+hj4w9DUDW8IkBKCnjUABOzZ1i35ZbuGOgmc//+7vWbT0pN8/QGA0ykBhgLDVGOAAFc+MRw7ovoielHHd+TwshHkSFhqaEEN1SygkhRDcw7YiPAf2ef+8Dxte7j9cKZtNF2uIhpJQcmj7EDc23ces9gyXF/aE330gqXz+39d/c0Us8HOBnblW7hQ02DvLMxLOA9Nfl8WDaCSWdnDsJwD29ty2b8Vxv/MHP3MwH791dqk7qT/RzeOoUwIa0Tl8KCqYKdc4ZIxSsArd33srv/cdXrOs5Qw7539LbyEDjAHkrj62nyBsbL+y6rh6DECIuhEi4n4E3AUeBbwLvdcTeC3zD+fxN4D4hRFgIsQ3YBTyznn28lrCUM2iKBhlLjTGbm+W+217NH73jltIiYNva49zW13yJVi4f4YDOz+7tKYWmBhoHKNh5RCDFkh+yAJQ1mC1atMZDnJg7gS50drXsWtdzBnRtWUlyf6KfheIkYJfyD5sdeec+jGbUvhh72ves+zlH57MA7OtvoT+h7NcCUxRMa8Mtvb3eHsMW4EFHsQWAL0kpHxJCPAs8IIR4HzACvBtASnlMCPEAcBwwgQ9IKTfNm5A3LKIhneennwdgX+e+K3r+wYSKmWuhWTIFnxigbJmGAxqH506xrWkbkcCVXfq6L9GHKQ1EIFVSiJsd7rgMp0+RCCZKino9YVhK+d8x2EIoooypnJzClgOYtiSo1yf3dy1gXYlBSnkO2FvheBJ4Q5X/+QjwkfXs17UKd9vOQ9OHSIQS7GjecUXPP+ApWc0UfWKAsmUaCeqcmDzBXV1XvkjOrUzSgklyxY0XtngpcMdlaOkkN7fdjCbqGPyYvwDBGDRULnXd2hbDlhECWoCCcR4YoGDatfNMtg1anfpYSME/vQfe+N+hZ32MR3/m8zUEd9vOQ9OHuL3j9toPe34RFkarf/+TQkq6F8YJakFEMEm6mscgJfzrX9X33NcwCk78uCDnmM5Oc3PbzVe8D/0NyhoWoTk/lOSgYNogTM4vnuHm9ssYEynhiY/B9IlLy33+nfDt31711f94xx4+eO9uhBDomk6frRGZfUj1p9a4/OjP4aMDYF5ivsPiRfj6f4T8Um25F+6Hc4/Cj/+6ttwa4BPDWlHH2GLBtHnr6O9zbvEcd2y5o7bww38In3nLpc8/9EP4P68BI1dbbvjH6J++l/5IG3q4Rihp/gI88kdw6Iu12wOYOgbp6UvLFbNQSF9a7irADVlMFVUs+/aO22v/w/RJWBi5dMM/+l/wpfsuLZeepmv4AJrQ0ULJ6sSQHFLjPD9cuz2zAF/+RRi9jNTd1z8Ah790ablC6tLKrM4omBZaeBJTmuw58QP1XNbC5BH1zjzzydpyySGYPw9jz6766lfu2cr/8wYnv5SaZCC7xKQokCBL3qziyRUz8OhHoJiC2TO1z/1PvwyH/xHOPVZb7sS31O91nPvrE8NakJqCP+uDcz+qLSclfOqN8PwXaooVTJvFotqxbV/7qgjcckyfhKUxWLyE5X72EZg4DFPHL9GesqQGRIRAOEmmUEUBuS/g9LHa7UkJn/tZ+P7v15YD+PpvwJcvQ0me/Bf46n+4PDK+FBGCIqRv/mdYHKsq4pYiZka/SFgLcmPrjbXbfOA98LVfv/S5T30HTn9XPUO1cODvCX71fXSGWtGCc+SrVSUN/VCN86UU3+QRde5P3wt2DSs3vwSHvwhf/03Izddu85/fBx/th6NfvcS5j8JXfw2+86HacgDnH1dEl1uo3D3DRo+o5cj3XDgAR/65dntu3y4+X1tu6Ifqd3oKliaqy734AANGkZFggBvFheoewwv3lz/X8lbmL8D4IfU5eba6XCap7s2l5NYInxgqITUF3/3wpZXLxGEopuH0Q7XlMjPKAnnxn6qKGJZNyM5xPGAQkJI9xUuUpboK+uJzteWSaoN0Jl+8rPYGTROCSVL5KuWqJWK4hEuemoTsLIw+XVsOYOQAjDylFHUtHPmK+rmURX7mB/A/t8Lc+dpyowfg+c/XVKZ5w6aVJS5kTrEnmyJYcaqNg2JWWYUjT9VWKrYNM6r09ZLW4YQatwEbtNAc2Wq5H3d8D/8jGPnq7U17DIQT36wh5xnfp/++upyUcOZ76vPDf1RdDlTo48gD6n4vXqwuZxnw7Q+q96vK/SmYFu2xkzRZFr2mVb6f1fp49Gvq89Sx2iGdoR+C5pQiu4q6Es49Rr8eJ6tp7AyeKXmWqzD+PESaQAvATI135sIT5c+13q3Z04CEtp2KGNapGsonhko49iAc+ASc+X5tOdc1HLmE8nOZffSZqmRTMG36xQyHIyH2FIpELvy4entGHlLO9I6xg7XPPecSw5FLyCklOpBZBGEwX6gyo3zBCVXMnatNnK4Cmr8AmdnqcplZSE+CbdZ+EaH8wow8VVvuwr+CmVfjWAszam4AL35FKesKKJgWO7QRjodD7M0X4YUvV2/PfWmRtZXu/HkwHBI892jtPjrj1p+aVsnnajXzk0chlFDW/fATlWVAeY6BiEquDte4j1NH1e+GLTBc41l0Sbp1u3o20jVWIph4ARqdhQxqtXn0a5A8A0IrW8croDyGMfYUiojOPbU9gaVxWByBra8C21D3qhouHoSb3q7OPXG4utzcEANtyntsD52vTgyzZ2HLLUqR11L4c+dVaGj7a2vLue/fzjcqozQ1WV12DfCJoRLcB+L0pYjhtCP/goolVoNLDFZBWakVUDAs+rVxjobD7CtaSrlVgzd8VOuFsMyy1XwpYphXcoPzypKbM6rMK3Q9BmmXFWsleB/uWuQ15XlJq9wbQFl5JSK+BDG4L/7xr9eWc63M1HhVRVUwbdqjJzCFYG/RrG0suO2Fm2p7kVNOGK5lG5yvMc7paUWanTczkF1ABLIsFlKr5SxTEfHN71B/1xrr6ePQeTN03aae26p9PKqu48a3KbkqxFk61/5/r35frDLWxYxS9rf/krKgaz3fpx+Chi7Y8YaqxJA1cqRCKfaYEva8SxlAVcJOJUt933ucPlbxsnMLyrvvuV0p8qkq4VKzCAsjDDjzWSLhyeqhpOQZ1VbnTcu9tZWYOwfN/dB1q9IrVrUcn0MMO16vfrs6qM7wiaES3BfmzPervxCgFJUWBGnVVn7JISWnBaoqgrxpE4+cwxCCfS031Fa6rnLuvt15aas8lIsjykKKNKuHvJqclKrNcBODOaV4UmaVUMj8BWhSZa01LZvpExBtUVZQNWUBZSXesKU2McyeVvdZD9W2dEEpKz2s7k2tpOTsadhyqxqXoUcqihQMGy2qrOK9W9+o+ljNfZ8+rvp309sVYdeSQ8De+1SeKDtX5Tqc8NAd76XfWQojWagwLnNDykPa+ko1NpdDDN23Kblqz/fUMdiyR5VDFpZKhsNquaPKut77S+o+VkjaltqTNvTcAYOvqE6ItqW8qB2vh+2vUYq1Qh5mpnABW8DN0S7odQo1qln40w5h73yDeg9TVYwe17tu26nemWrG3sIISJvuzlvRgKVgoXLyOTsH2SS074KOG9WzWC3MN39eeV0dNykDstr9XhiGRLcaG1D3Zx3gE8NKFLPK8mvdDpnp2jH85Bm48a3qxbhQw31PnoXWbcqlHKtcDVIwLMyYemBv73+VshSrWUCusrvp7WBkqsfSk+fU7xt/prZcekqFNna/iU7LQpc6GbtKUnR+GHa8VineWgno6ePKKt2yp7qyAKUwGrpg172XULoOCe15F8yeUkm4SkhNqXHb9+/U32d+UP3cMyeVUul7WVXLtGBaLEXn6bU12re+St2rajmO6ZPQtgv6Xwb5BWUFVsLsGWgegD5nFfpqlqlbMHDrz9Mn1ZSjZKGCUnPzSO27lcVZjRgySWURd94E3XudZ2KosuzMKei8UclBdaU7eQRad0C8zXm+qxgBrrHVvVc9E/MXKpPSxGEVDtvxemjZ6vR7dXhqxlDPw+3tt0CzmphZtQJu5iTE2iHeDqFY9VzWrOPZt+2EYLQc7lsJ554F23fTJaJMBauUq7oebvtuiKk9HKjk8YF6Vlq2Ka8BqoeI5ofV9Tb2wi98EW54W2W5NcInhpWYPq4sm1d/SFl/1SotcvPqge3dr6ygWknEuXPqYet7mbIkK1juecNmLrrAgCVo7XImrVRzE+cvqDjxzjeqv6slll3FtOedl5BzCOPGn0FD0GFHKIgKxJBfgtycY9nsvnSVRdsOzzVXsUwXRlR7/S9X97RapcXMSWWRugq/WlJ7ylGKe96pXqCzlT0BMrPKmuu4QcWexw+puSErL7loMRwpcmuwTfURqns28xegbTv03qn+rhbmK2ZUOGXLLU6fqxBDfhEQEGujr13FsxeNCgrDVWDhBicUcaaytZtzPJOGTkXaUD2cVEyrPnbcpN6D8SrEkJooK7OmvhrK+ZQKTTX2QKgBkGBWyFG55xm8R+VBoOK1pKwjDBgG7d13KmVfRU6d+6QiQ4BgvLrCT55VRl7LNgjVknPItHUHfXoD40FROcfgWvNtO8vXYlToY3ZOjXXrdtU/qH7uhWFoGQQhlGHY2F1Zbo3wiWEl3EHvexnsepNKYFYKwbhVFc0DKmF08bmKigUplYJu3a7aLKYrVlDkDIMLEYNbSCilC9UrLVKTyp3svEkpy2oWotufgXsuIbdQvpa2nQyYNqZWIYnoysXaVDiiVgmskVMKoG+/CkVUIzkzp17sSynd3IJy7/tfrryV4Scry7mlp63blRdy/vHKVSiu1d+yDba9WhkDFYoIZrPDzAc0bm3Yqq5ZD1e/j0YWwo1KmQaiqiKlmlwwqsJnsfbleRYvzLySE4JEz500WTYpsxIxOAo2EFHEgCyHT6rJtW5XnyuV6lqmKgYIxiAQUsq8mgVr5MtKL5yorpyLGYg0KoUWipePrWrPUYiRJodAUO+MB7a0WeQcd+QLiohrtSelIqUOZ1n0Wp5A8qwyJgIhJVfNs5gbUiQXa6U/2MxYIEChUCFEtDACCNVmibwqtOkaZq3bPNdSYV6PWVTj5XpI6wifGFbCZfRQg0rmpScrv7juSxZqUMQgrcrKyjLUCx5tLocOKoRWhpcukNFhj9akBl4PV88zGDn1AAXCKnZZS1EJXVmSl5ID9TJ072VnMYUMzGKtJEQ3PhqMKSWZGq9c4y4dazAYVWRY5ZpL1xKIqBBMpLl6hZeRcxRVWIV/qsp5+jj4CjWelQjWa2W37VSfl1aXUI6mlJe1t6EfNF2NY75KiM/IqmvRAyoMU43YzbySE0KFVaoRg3tvANp3MWAYFKwKZZ6me81RZTCAKhWuJReKA6KKAvIQCKhqp0pyrmxJLl5bLhh15CorfMBDXtGqCv/84nmKIq+IIZSobWUXltSPG5aqFUpKni0/C8Fo9aq7pXHlJQlBX7iVlK6RzlUgzmJGPYd6oHYflxxybh6oTSCpcUAquXWGTwwr4T4MwWiZmSvEON0B/vKhaWZjzppGlRKd7ksWjCkrLdxYMXRwYl659LcG25UCat9V28p2X8Ytt9SonvBYc7Viz4ZHYXTvZXd+EaFZjKxUlF6F0eksQ1DJMvUqoNYdyvqraj07CkPTFHFWi2UbWQg619x/l5Kr5Ml5Sc5d66ZSrsargCJN6nMFj28sd4KYbXODu0hbpKn6LF8jX1Z+0ZbKHqR7bleubUf1nIV3/MJN9JkmOSoofK8nEHZ2LKsUy/bKCaFkK804974DoBR0tdi495pDDdWJwUtyYZcYqngMekgp0yrEcHBS5TH25wvq3HpA/U/F9lwDzmkrGKvuMWSTyouD2iGnYqZEboMx9YzNZi5UPrd7b9zflfrokkA44SHNCnLuGETrt8JyNfjEsBIlxRJTLzdUViyO8vvyoVm+diINiMrVJd6XTAiVAMuuTpyeWTpKs2XTH3LOmeiuHq/1PnCN3SrZWilp61WmW25R3k+lpK3pUZJdtzJgqgqY08kVyeoSgURgi0sMFcJJXqWraapSploowvQoloau6hU6XrlEtwp1VFK8zrj8t6+fohBoVMcqeTXecQlGVbVKhfbGi2e5tVAkHHYUS7hRWaAr4XpJrvKLNF0eMYQbFdFcavwijfSZJnmxgGGvmPzoJeISMVToo+nxpsBR5JcgEFCKvFqIaKUnYBVVyKNSm6XzOveyGikFosvlVpDNc1PPEbWi9JnmcvKqFZpyz12LGIxs2WKvFXLyjN9gg/LQkvkKIbll1+zmGCq06R4LRGvnIlYS9jrCJ4aVMHIqHh8IlYmhosJXg5knxHOjS4rFc9XlHjq1yHPDcyo+v6I9KSVDqRfZly+guy9DrLVye26b7gMUbVVKsqKF6FGmjWo7SjIVyKb0wEWgsZdBpzRyaOFCxWshEIVEj0rUpSqUT658gKPN1ZdVMLJlRXC5chHHYqoU0jGyGFqEB567yMEpu4bcCsKuoMgzRoZZa5zbCgWE+2JHGisrfMtQeQpXkbsKvxLMvOdamlRJcaWwheGRCyfoN0ykkEymJ5fnTdxnVg9enscQ9Ch8Vy49o67B7Z97b+AleAJVFL573lpWsZN/sWzJ0KIsH3MgpeTg1EG2FFrVHPSSRe5Y+LYNP/xIeeb5ymcxGCsf+8sb4Yd/Uj53MbtcziqqfMvXfl0txbLsWhxiSPSgSclcsUK1mJfYg7XyKp4+BsIq/OvKeSsJV5LcOsInhpXwsnzJY6hkcaqXJ0eI50cWkNHWip6AK/eNY/P83CeeUop8hdxYaoyF4hT35HJoIc+5s9WUpMdKi7U6faxAIqbH+nLL5Wr0kWAM4u10WBa6rTG8tGJBNtPjMWiaupZKs5orEkO1uHx+uZyRrZwsXhmmgaqeQB61yc0TY84koYqhpBUvWaRpldzByYNIJC/PrVDklRS+N2QIikAqWe1OH72eAKBkzeJyo8HMLSOaPseTGz39LbXkh+v9eYnGzR0UUsoLeeH+sgW/0hMINSir3TLhb++EZz+9XK7k1TSUrfuhH5YrmaRc7sl5Qz+5heXLgpg55oo6v/fgEc4sOAq/mFZe8cl/WXFvojxwcJQ3/s0zSIRqb/ok/NXNjE4cZCY3Q3e+cfn9DsVUe1NH4PE/h6/92opr8co5Sjc1AY//L/XZttT8gZUWvpmDF+9XS7GU+lgmkHC4iW7TYt6chhcfgAd+ZdW1LGuvosewwkgJxRVJXXgCPn47vPBPq+XWGT4xrEQxU77xekBZfhUVkOMxyBAzqQLFUEvNUJKrrPLBplXtPTWhJmzdnc+jhz2eQDFVtuKWtXn5SrJMIB5ikHJ5SMlNUutBZY0LnWYjzFh6dHV7UH55qoTFykrS00e3f/nFspIpvYwrPIHcgrqXy6ylHAumzl8/fAbpxlhz80pRffpNJeUnjRxpW61189j5rBMiWlh9j5xreePfHOCRE1NOUnm5J/D0xNPoMsDtBU8fvaGkhdEySawKvzQppWkW4cAnly+R7FXkYTe/saRk/v6V5bCSkfe0lyhNchubPa7GzC1H9lqmQjh9TKk8zIO/rhbNqzQuYSepXFhS1+7mtFwDwEsgrhfwnQ/Bo3+6Su7I2CIjaUedFNPw/f8P/vHdnvudZ2je4ksHRvhPX3XOU8zA85+D+39p+X0MxvjWC+NINPIiAsUMuYsvwtJFDpz9LgA9OU/IB8rK1IWbH/PmnNzflYyPVZ6FmxOooMiXkWGMftNgwZpVZHT8G+VZy6bHyCx5DFk1qfNLv1A2yAznOdWDnmtJlysk3WVTfI/hKsKrTGF5eMMTO5XOg7SjR23cPi8bylZ7arKcGDWXE8NQJrSKQJ6eeJqE3sJWw0SPeEJJUJ2USkrXkcvOqbkU3/5g5WvxEsPQI/CXN5T3VPAmOTUNM9xMR1FjIrsibrpSYXjDYmceLs9Q9eYYoEwMUsL9v1xe635ley7J5RfU0t5feKfn3DkOTRT42MOnOTbvLDecW1DVSaMHSon/TCZF1g4x2BbjxGQKO+KM3/hh+PPt5RJb5yUbScH7PncQO+yEkixDbYIy8QJPTzxNj+wiLPGQlyeU9Nm3qSWVvdfslQOldI88oBbrA3UPvOPnlZs/rxRa6XnzKJZII52WhWZrjOWcYoi0k7fxhpzASSqnyqS9NF6W895vN/nsXo+bB1qVfHaIQUp1z90SV0fuzLzJ2//2Cf7gITUGFDPqnLOny/NXjBxTOYEQMJ139gcrpsteWkmR5zD0CAfOz7GlMUzaDpFOLfDUMWUkfG/4OVojrXQUxPJrcUNJrtHhXtMqhR9Xx1bmN1YaPcEKFr77P95QbjBKv2GyID3vacoTxiqRqyd38J3fUct+uJV63iiFe24jW/bAql3LOsInhvwinPpu+W/voENZqc2chj/tKVX2ZDIqNvumvVuJhXQmjKhSkoU0fHwfHHKW2HYGMyfDtMSCHFsIqofDyMPZRzCmjvL0xNMMBm9EAIFQBU/g2U/D43/h6WOVcNfJf4GDn15hfa0IOWWSaoanbZTLJL2hDcCOtdNjSJL5CcyP7ysvbrfywYy1qrJIy4Qv/wI8+fHKctEW5RkYOeUFuJVHxopkqNcTWLyolL3r9hs5bF318fOHFstyLjE51nMqlSJPiP/wym1KRG9Qyid5VuUA3AouI4eNRtHZxHAs5ySfF0fhxDeZPf4gZxfO0me5VSoeC9/MK4tzcaycfF9Jct5KJ3dTJduunItw5VxCcNfCMvLL5DSg0QwxWvAYILA85ASOwl/yKPyJspz3foecHIObZyjJrSSQBtVnI6fadYnBkfvBGfX/GencI7dNq1Cq6LONHPNFnffcPUgWp13XW4HyvCBHzrIlv3TXIBkZwciliOOQkDnOnVvuJGQXMbSw8pCgbGW7no1LOCutbDeU5E26u2TtlSsRgyf3UyLY3DKi6TdNciJPyu2LlzjddgIRVHlw1pO7TJb76FX2biLdPfcqYtiEHoMQ4i1CiFNCiLNCiA+v+wkPf1ntjqctAQAAIABJREFUBeBaz0aOHGH+7f95ionFnEMMc6om3TZKG5xkM2lMqdHT2shtfU1cyEaUkkpNqoF2lwZwHjgRjPDzd/ZxZM61dufgwd/g2R/+Pqliih2amoATcKtfvInvI/8MB/9B/b2y+sXrWbhlte4KjN6QRSCsar6zyXKNu+uqeitBAD3ezqBpYGMxvjQCQ4+W2wPPuZ1QUjapEuBuKGJlktNLXrl5RQ6W6XkZV8otlL2vUrgkx5KpXO2vn8p42lstlyPMa2/oJKgLFmRceSAugXjujaFFaAgHuWFLgqNJgcwvluSemlUGwGCx3emjJ8cAysKVVjnctSou7/EEcguOkpxeXgHmbc+VA48n5xkXTaeoRWk2AowabsLY9dA8IScoewyrPIE8INSz4MoVU2XlXJJbEX5xk8XZpErI5heUAeRc88W05M17tpAVrsLPeBS+UpK2My5v39tDJBLDwkmwuqTkCf3MFXUaIwFetq2FLBHsQoaozDIe0JnT8uzruIOQLGBqnmt25ye47blbxVcKEUlruSeeTVZOUnvvhdtH217uYYdipRDfaLx5xbV4CMTNHRjZ8jtbSQ7KxOBeS8nQWzEu6wgh12k975cCIYQOnAbuBcaAZ4FflFJWnWK7f/9+efDgJZaeroDJP/1TCidOKqt0cUxNNIq2wOSLFEzJoWIfjdEgNwfG1SA19iqrs7EHWrdTnBlCz0yR2vIylnIGYnGMfjENXbeoGGI4odaFyUzDzGlOBnbT3d7C1MRFdosx6LkdOX6Y4XCUpC7oFv30ZE6pMtBoq7J8xg+r+QLz59XDM/hTqvPDT6pp8U39iiiGf6wmvbjWaedNKsxz8aAiA3fW58WDql9Cd2ZPd6kJPTMn1UvlLEYmZ04yl0txLgy7iwZN0TZov0FZsvPDqh9CU0p2cUwt5jd+SCn43v2KeKaddYiCsfLfPXth3Elc9u1Xfb/4nOpfvEMpwrHn1NoyiyNKkXXeCLF25PCTTMoWFiN9LGSL3KWfRkt0Ke8rt6DKdlt3UBw7TM6UNAzezomJJQbNCySCUt3ThZHyNSfPYqZnORG4ic5EGCt5nm5tHtF5E0wd41wkxpKusaXQRLd5Uc2d0EOl8SyNM6j7UUgpb7LrFpUryS+W/55yllnpvk0p8NFn1PyFRLez4u6z0L5TWaTFrJrv0tij5GKtpUlX1sgBzughsgGLfbk8IrFFTQycOqLupbvMxdQxRdSxNvV8R5rUPJb58yoh7D5H8xeUcuq4SXk+Qqjv0tNqWY2+/aq/6WlF+t17y4nn3jvUOccPcVr20dC6hXQ6zW7jlJq5Pz+svCp3/C48wTjtdA3ewOmpFLsKxwgktqjnOjevnt/mAbj4PItWkPHQIAOtMezxF4iEghRFhKyZ5EIowE2te8iOnaNNz6IPOHtwz55RhNXUX15WZesr1HOeHHJmzAfVPZ4750wsdLzHHmdXvvHD5ffPHb8tnhn+7btUXm34KWjdCo19YJtkxw5wLBxihwWtxYKaTNfUp0JF0WY1RlAeT1D9cnQJ0ycU2bj7N08dU0ao+8wGwmqi6MKI+tn6ypIeC990I12/93s/sf4DEEI8J6XcX+m7a81juAs4K6U8J6UsAvcD71jXM7rJXddikDaWsxnLUs4gZ2nqJXNrxx3WlraFhYYmBIlIAAN9eTvubyfGGgwESESC2GK53IKwaQo1IaQTi3X3edacOKxtLC8jLMk57QihJsR5++ha9lIu34BcCypLfWVZoly+UbnQg8SksoLyQpQTcNJW5yv1MVj2YEApAmmX48orr8W7sqSR81yLpz1Q1+Im8Jz7JKSNJQUtsSCRoI6Jrq7XNpe3LW1shBqXcJCCrSGtSvfGxkYjEtRpjoUw0dU5jDwSWMSiMdS4uo+iwrW4113pmt3Q0So5d/zccbbK1+ImRqVVbg+QQidkg4XEFEJZ76Dut3d/cE1f3p4rt2Kc0XQ1frb7vVze39K1OH21PAlbz7XYCCIBnUCgyrVIW71RQkcXglgogCU1ZIVrltKiaENDOIgmBBaaug/SYkHXCNkQ0iLowkZWumbpmfRoFsvX4l63+z9WOV+IVSznBEvX7MoZy+VWjZ9G2DGuS3fHvU+2tWJcnGsp5R89798qObt8LW4fVjwP64n/n70zD5OrqvP+59y19t6XdDpJZ18gIRKWsAUhIouI4ojLKKCguKEzoL6D24zLoKAz4+j4iisOODriOCr4iqiI7MieBMhG9nSS3rfaq27Vff8491bdqq6uatPdkcR8nydPV+qeutu59/f97Uc7IkeZPGYD3lSYbuD08kFCiOuA6wDmzj288vACy/7Xm2HHZlhzGbz+3+Ebp/JUop3vaR+jIWAwdPDbvF+9G3HqG+Cp5yDihxvv5OAPria/51FS772NtrDBt269hW8Z/w6nvgmedjqo3nir7LX0209w10mf5vzL1/KFW/+T25N/B+ecwYannuHTHUG+tOZ97H46w9q9H4VrPgVzT5cayy1zYf2H4A+fl/t72zVSu/m35XDpZ+CUd8vv/30lzF0hG8YlBuG0N8MlX4Zb5sGqS+ESJyXvR1dI7U/3w77thWvhPy+VL+g1ToD0j1/EfuhW3tk1nzeNJfnk6Ch86gfw+3+ULq1POeM2/VRmYrz6XHjQWc/gg5+SFs2vb4SP/geE2+QqZN8+B847D/7otA256BLZfPD218I7b5ANAfM5+HwjnPNueMSJqZz0Wrj0q3BzOz/JXsDaq/+ZF1/uZ9GTb2PRsnmIvs0wMgiNdfCROxm8ZRXbE7NY/fk72bTxILv+5++4MvAk6uLT4KUXoakBPnwn+buuYtfmZ3jujC9y1vmLueNzH+Nm/XaGX/UWel56ns/MnsXNZ9zAvl88yNrknfDpH0jNbc+jMuh89lXw6JPyHN9+rbx/d70D3vc5qVkP74GvnQTnnw8PONd8/nq5vsE318Kbr4MT3ySF+ucbYd018Ph/SGGx/Ex4653w+SY48x3wms8CMPL1ddwXT/OtjgQ/OjjAqoYOeP+dMpMp0gl/68zL3R+CHQ/AkpPh2Y3SavzknXIN550PwEedcU9+G37zf+Dc98JDzrVcd5O8xt99Cm76trQ2dv5RJgJceCn81pnny66QfabuuJSbMu/nM9e/n/sf3czNmy+E9dfL5AGQz+J5n4Rb53GP8QbO/ORX+X9/3EHHH1/PnBMWow5sg/49sGAVXHUnmVsW8GhsObOv/L80dkR49suXckbdEHu0dm6qS/D6aJrZb/g6Q9/7G+Y3JGm40bmW+z8Lj39DPjsP3SK/u+YG2SvrjzfDZ+6QWYbuM7v+Q/AHp63K694I9V3wo7+Baz8ju+P2bZHz5B235vVwzkfl+3bZ5+DkK8G2yX+ugb+dt4CLUgk+2zsIS06Vc/GFVlj7NrjAeX+/eabsh5TLwMtboaUFPnQn3H6xJLZ3Odfyiw/I9SoWnQzPOo0vP/oVmVr74v/CP9w5oVybLrzSLIZK6yaO83XZtv0d27ZPsW37lJaWlqkd0S348vjHhzIai1pD3HDBEgZyAanNu/3Rx7oL/tWkbeLTFRoCBsN2uHQ/AP1byTnadjAkt2shmR2U69vK/cEAmm2zOBFEWGX+QzMitRLvAuLeVdNKMqcait1CoSzG4PHDBprkGDcWMdYt9zduXDMCaMsq7NM1qQEN7R4XpC5kOnl7Ag1snzjG4MY0QJr75f52RZWCyNuLfnBnMYCPwZwGPx31fkbsEFZ8qFjrMbIPchZaTsYOAJqDBqMEUTJjxXoLJwicTsZI2AZdTUF8ukJCkX50MbSbx/3y92sDnWi5FHkU6UaCYkzA2/5keLcn/lIWO/C2uxjZN37+FEXOdayvuI+R/aWN7Bwovghzncy4bk0jN+aJHZQEn510VTdNN+MEg60yX7ZbDOdtfRLtGT8vlcaNdhfON2mbzGsKYPhC5G1RjH2AdD8612w7yQMBQyWGj3w6Ni7GIJxYxPL2CCFTI4EP1UrwkjJMWlG4MDHG7oN9+EmT92Zi6UFpFXrreUa7KWmx4b3v3q4CYwcrpLU6991bpzN6YPz8CUFa+Gi0DLqVfPG4+bx8b7zn6Aa+3Wse3uvJUgtMPA6K7+oRCDzDK48YuoE5nv93AhOsqjFFbLwLvnNeMcXSEeh2NsFAWmVeU5CmkMEooZLthc9WkiQGPl3Fp6sk3fYLA9uL5t7Adqx0gpwtME35UhhhGczM9W7m94EApydTDOzYjihvVyCEFKjeRnoTEkOj41d1ONTtde/NtwYPMQwUhbUrrLwPXFAK/K5smr26497p31IazHb3V7g3DqcPvDxesLjHcgPEqiFfCm+PJhe++uI4PVAiTJOYdNT7aQgYjBCEaB9kogwrDVKIJodQ80ViiPh1xuwgArsYJHYyZaxUnCQmLWETIQR5J1isje7hcb+fJekMVk8fWj5FVniyX9ygsruSFqJsXsqyjUqIYe/4egeQKavuOEWTwrS8kR2gBeqY77hc9usaSnJAWlnl8+IGlb0B1mhvaf0LFIPK3ur16CE5TiilefVQzMoBR0hKYeoLBAmaGiGfThwftnfcSPFacs45Bg2NhC2DyoXA6ugBsG3UXIokBiGfhl9XHWJI8pweI5zLsyaVJj18AJ/IYnvvoXuOsd6imycxND6w6z7nLnkpevXgc4FAhCTaCrUEWcWkxVLYrzrHHe0eXzPi/sabUmslpZI2YfDZk1Ib7R2fvTSDeKURw9PAYiHEfCGEAbwNqLJ47hSQz8rGbrEe+VLF+yE5jJ2JE7dlHnx9QGfEdl6e4T3FBluxXhRLVtj6dPkwZP1O9kr0UHFd2+QIuXScFAamITWWunCIOD6eTB/ioK7xumgKq387ojxDB2SgyiUkRSsTQGUpta6VEO5wAn8VhG6gST5cqRHZ3A6kVjLOEpDXsiwT5aCmkgUpZMrHBZ1r7t8q921GJOlkU8WCOZAPuqIXF4WJzJbB9UpZFv6GIjHUzSlJ21N0vxMT0Bm1Q+hjewDYYzkElYmj59PkFJl1U+f3zN9YNwSdpnoj+8BKkbIN/IbzMjuFZvnYXp7zmZyVTHFg9zZJDM7+gGLdQeF+t8vgd3nthqJKwesSSKhNCqDylFGQ1oW7v4YuR6CNnz8jWEcLcVosi52aX1qyBcFSlpUEUpCrzrlHD5Vms0GxhcXogSJ5x3qLWWqFVNAyAvHVO8eV59hUJ+9J0NRIYJIflcSQN5zanjIyDJgqcXySFDJReaxsHJLDKORJ2QY+TUEIQVb1o+YSPGVanJbMogPZUWkx2HqZNg5SgLrNE7OJCtq4SyCO1Rxqlec3Ll3V2bfrUQi1ylhbBcUso/jpyObo0VRiTkFexffULcJLjxXJKzVaoY4hKBWY5HBR5mQT4wlkBvGKIgbbti3geuC3wBbgp7ZtV1kmbApwF+4AmRECkBhCsVKkkKZxQ8Bgt91eHOd2W83EEeWCJdjCmOKkq4Va5UuQiZHPSNPY7xBIU8hkR76DuyJhGq0ci2Mh/OlBhBuwKhH4jcW87JblxZcbxgv8wnUtk2PcVEWvJum+MCCzmkDuv1zjdFoUz7Ms8kLQrWvFh73ScfOWszqWk0vujnMFi2v9uK6uekfgl6e/QmkFcl2nU/MhX9qcM05aDKHCTw7YDkFl4uh2mpzjsoj4dAYJF/fd7GSHpEYRTusMd15EQM7dY6bAEoJ1ySTZxAhaPo3lJQbXEkgMyrnyNzrXUmYxuGNdSyAy2xEsqdrjsItuIK/F4K+nTYwwx7LY5X6fHK5sMYDUXJscBcAV5CWuJOdaxg7K69D8zvNQ7nIKFceBzKbKJgrXbPilsA2aGjHbXxh3wHKWx8yWutmChkYcH0rCEc5h5x1z3DZZxURTpWjKqQG2GDCiClYnpaKRio/hI1OmjXsshqDjXq4kTL0CX9ElKWfi45WUcldSsLW4P+92wFJ8dGVS5IVgk1ovlU43XXecxeC4iNxrdo9dbjGAVFpdYiiM++t0JWHb9r22bS+xbXuhbds3z9iBWpZTcH+4i5Y4D0HSNphV50dXFfrNOWQUOWm/2OtowJkYSi4lLQZN3sJ6v84uzdlPoLlgDuYzCceykONaQgYPKF087Pfx2mienBJAs+KolQS+u64ryKCVJ3e8RBDMOa34uXw5RO/+us4ZP67Sg1k/l4SvjXlZmQ2xT9OKAkMre8ncVciCLcUK2XLBAkVSUg05diKtKughr/o5MjvDEZKuj7o+oLPXbisMO2A7BJUcQsEuuCzCPo1N9sKS65LXHEN4XIEAmWAnWTTuCwaIWAonJTPY6RhGPo2leoS4oha1a3+Dk5s+XvgB0rpwM0siHaWCpXycm53jWpuuQNLLxgGdWYse3Xl2M65WXMFiyCaKzRNdQV7ifnEEfnrUafkcKJJXJZeTSwwhV0jKaxbOsUOmSgITJS5jHwetCLaHQNx9BgyVhO1DT5YRg1NfY6nFY+e0AL8Mh/Dn8yzNyFTPWGwMv0ijuQIUPMK0Twp7ze8hhjJt3B1nhig01Su3GBSlmKoLUvHJJitaDHnNz0JHgduiOft3W86UWzVurUU1S8Br/bj35q/ZYjiiMAJS2ILMroCC2ZjEJOBYAg1BHwO6nJx9tiO0MnG0XJK0KGo29QGdrXTJ7f56R0g6xGAbJRbD7yMKAnjn2BB5PYieS6DmKmjPC88vfg63T+x+Wfza4udqxOBaCVBi/YwLXgpBrHlVocvqbsPnkFLZOID558q/Rqi0YlMre4DdRYp8dcVCn3K/PMDctcXPdZ3OtUiBkddcYjB4OLeqMOygazE441wCURRB1mwsEHuRGOIolkwecOclHArxtDqfR/1+lsXCpIQfOxPH8FggBbj55v6GYqDQSjr9bjyJfl5LLjxLCoVKCoCruQPUOcTgFiGWF64BnZbFqJYnLZCkaecn3p+7cE+mgmAxi1YXvgiFdhHlBKLq0iWVz0rBaYaL4wDFEcrSEvAXUq977HpELlPwlStOVX/QlBZDAa6QdCxK7/1OGQb3BgNcFE8gDPn+pRJR/GTQfF5i8LScMELyOjOJ0t5nUPycGnEW+fEQiNf96Y515yHYUkYMpS0sTrCk8rLbvW+JCsSuB6VrLZ+tbgm4RJxLFxWqgsX+V2oxHFG4i824FoOjHSQw8WlSYNQHDPqFFDwHPS4LNZeWQUkH9QGDFyxH8CSHC9qznS3VTP1mhv11+1mXSDIvnwYjhJlPoOaSZLxBToD5Hg3f1cYrBp89C3eUCdNxGsaiC5wTdmL8hWyVsgeuaQn1+TxmTmW3bhaFX7nAn79O/h3aVey9U0mzmXeWc1798gUpcb94jr3g1cXPIVeTlALDdo4d8Wn0KXIuDqkqTzX28oWmBr68+xf8OhggrRmFXUR8OodMh/gLQjKO6lp8RpHYb6sLYglYGW91mrfF8JEZTwzuqnSK5sxLBS0bipacUBxh6rEsvGPdOYOixZCooHE2y0JFt9L2gKYVK7q98+JaNN79ZSu4Ar0EYkYcIVlBUYAiiZiRcS0blILFoBGzi7/rtd1KduccnXn2G6rsLebCnRdXAfBYDNuD/SQVhSvGYqRM6SLKJGP4SaP7KghT91yNYFGQV9LGS8Z5LAvv+6d7iCfUWuLW9N4fYQRpz1v483m63VqOSvNnBIr1E2GXDIcAu3KAHKRyIRRPvOS4xTDzmIAYUraB6bh+GgM6+2hnv6axq3EnF3V28MbuX/L5BoWftg3wdI9shFUf0NnstE94fOcgIzmjIMi9QeoHen6MraZ4/8goP82vBzOEL5/EziYL2TQFuCmPIB/ivFVsm1AuyN/7AFz4xWK3TtdiKBfkb74dLvuGrFAGj2ApPXbrWVcCELCb2KtplS0LKFbRzj29LMYwwTgoHVeupblz4V4zFEnOuRYhBHUBm681L+ZNnbPobt7M74MB/mf4BW5qbeb7kfsKq3zV+XUeDawH4NmoQ6DZuJP9YhbmJaf1sDEyzBXRGK/KxUkLP/lUDL9IV7B+HIE/tFvOg2vJld3DAsnZeSkUvIsLeceeck3xc5mQLBEEC6R15rbf7tY0jwDy7G/Was/+2ij06ClPS/ZFCmQjLblA0aopv2YnIUFaFoGC0E2h43MSK4Kmxg67SHJ9dn3JtaiOUA4aGpvtrsK4u7Y5wjJRahnats0Lvr0sS2c4MZMh5ZPEYOaT+EQWw2sxlGvcrj+/XBsfN87vcceVXXMhpViTAfe85YkdFPej+oIIYLZl0ac7mYHuvGgTCPxQqfusZJvXkjM9ltxxV9IRwinXwKX/XnQpOa6klDAxtaIm+aVQI5fM6WBr8w7aLZtO4WODqbHLF+Oa317DJT+/hEO5R3je6qL3tE/w0cS7GMhohQCrW+/w6IFHuWf3T8iOruHSsR/w7/4PYRsh/CRRcqnxminAR7fBDZul2es5x3GCd/YaOONDHmFawZUE8sU++cqiT7aSyQsyOP9PIyjaAvbrqid2EBi/v79/AS7+SlmMoWycqxUHW6QAsvOS5MqPKwSseZe0RPSyc3RcEbtHd5Of9e98L5xGSXdi7ngfD+87wGMN53P7oV5MTN77+/fyq52/IuLXuFu7hGdfdy9/81td9vdPjaLa2RIX39Njd2DnDT40PMqz/rPIqH7IxPGRRRjlxLBG/k2PFjVOqwJpzvG4xQrXUkGTrJ8jWzaAZ14qELaqk9Abi715dK2yAFI1WHKR/JzPUUiTrGTVLLmweN8LAr/COIeUUI3i/pwEDPddCZoaz+UXMaAq3B0K8mJ4lJd1ndGYzGZSjGJW0gv5+YVdP9mnl16zc+xNA5sYEX1cEY0hgIxfEkOjiDr78zxjDV3FynnTEfiVhKlqlI2rInTduTBCRUujwvxpfml5zclaDOtOlXIlYvda9q7FUGlce9FNWoz9xB03mYcMZxB/3cQQmSWrh41SYZpTfAjHpNzP/xAN/5FZytnEdn6Ufz6U5V/U+dy//wDv7zuFm067iQZfA38Y+Dq+2T/iwbY3cogmBrNyDVolK4PPm4ef4sYHb2RJwxJyfZdho1AfMMAMESIl0+/KNU6QsYW62RUE/gS+RvfBKTxwFfYJMojqpulCZU1ECBr0DvpVSKfHKGkj7EX9XHmckhhDhXF/txE+8LinKdtA5eO+/mtw9a/GX4sWYCQ1wgfu/wCoceZl/o5Dez+CX5Pukny0n1NTad4u3srJrSfzyUc/yaj5/xhNZ9kl5gICSwsU9pcWJrqqcN+e+9gVf5bUwGtYZ/0Xz9VfSFYNoOeS+EijmmUvo78Bzr0JrrqnmIJYyf+r+6BtpbQcvIJFNYptJly86164aX9VAQSw5XU/4w/iIkRen9hiAFltG5kNC84rjYOUz8tix7XYu7lMyy4nEIdoel8s7M8us4ZDpsbTQYvLZnfw6ZYmXpq1iTd1zuKCnnv5Xl0EYUgXX0BXGaRoDffhuJzcGJFDcrdtvA1DhDjb7YvnbySLRiPOF+VFYW7sxwhPPC9CFONdRtDjPquQ8dO+sngc934UiLh4H9XZJwEw17KI60ly4CE5zz5dKx2KlmEliyHQWFybxAx7iP24xXBk4QoqJ7fZrai8b/d9bEv9iszw6TQmr8LOtBC3fSRHegFQlCDvWP4O7rzoTi7tvA4ttJWvb/kwWt0zPKCm2WHFyOaSPBTJ8s/Pfpx5kXncdsFtLG6VZnl9QEcxQ/hFhiCp0rzsaufoLuNYbVwtAgH5YpS5acrR6u/EFrA/O1ZZk/SiEGNIVT5uQ5f01RZSAQcnPK48v1IhqRg+vvrcV+lL9LFMfISRoQXkbairk4LFdjJBAkYD33rNt7h80eV0cw995u30RWUANK34C9dsqT72R/dz859upiu0jOzQmUQzEPFr5NQAAZHCJzJoZoVrOe8TUosuZCVVcCUBvP8RuOruUuun0jWrmrS+vJ1MYdw+16xew1s+898Ydgv7db2yxQCyMeGNm2Uqth5w2mBnxs/L3DNgycXw2i94XEmp8dfiNm4TivMM2OSTwyTtIjH8fNcPsTrvZkE2y08PHGLZnov4St8AawnytcZ67hj8B7723NdI55MFKwM8LifnWoQe4PGDj/PYgcdYGbqc7TmZWebTnSpj4RJD2TW7xOD67Cfyy7tWUmpMXvNEFoObxRc9WPrMlsUi/IvkuPmZLLaS55CmViZsl2igGFSulL0ERfISinzGJpq/GcJxYgD5Umq+QjVkXvOTyCb4yjNfod1cSLrnDezqj9MWMUngQ0kOFsYBqIrKG+f/LYm97yOTs/B3/Iwft/ZxeR2c1wr3tI7wqpZT+MGFP6DZ31xYK+D5fSNoTgpikxhDVJv0gsXQV0PYlxFDJWFVGBucUDN10RGUQeo9Vqyyxlm+v6xj8k5kqbjjwKkFqDauNMaQ1BLcs+MerlhyBZ2B5XQPy+Bne0OQtK0jHO1LMQLoqs7nzvwcKwNvxwo8x88OfgahxkjiK9ybMSPPtb+9Fhubv1v1j+A0Qoz4dPJ6gCAp/GTQfVXMd3cuEkMTWl3yWjwkV+2aC/uroEl6YNLG/moWgxcl81w2TtXhb38iBX81V5Jmwjt+Btc9VCA5Oz4oizc1hScPPcm3Nv0H2bFV3JBYQTS1AFLtXBRP8C/pIN851Eu7bzHff+H7XH735QRCPfyx7WoABuy6kmtOGVk++cgnmV83n5PrX8fHs+/jR9Z6oq2nk1H8NExEDG6wPzlcXctecrH827NJjrNSUqEpv9ddZxU/6975K92f0S7Tyue7WXy6Xnn+vFair16S+USu3JPeLv8Gm+W2iZJJZgjHicGFESpxq3zvhe/Rl+jjTV3XAwp90TRzGgLEbRM9Jc1Er+unPmCQT82lZfSzxHfewFv2LebzA6O8ZzTFGw7O5j/O+7+EHEF32eoOTE3hA69eiOaXsYNmMVpc1nOi8wP5gFQTzuUB21okUs2VBMx9ywb/AAAgAElEQVSPyLTWfbmE07tnElZNfPzLU3HcRK6kwjjXldSPhcJe+z6EELz7xHfTEChaTB31fpk/7xC2ahSD1Kc3XEGy+28ZsnYR6PomjxgGPcl+flAX5qH2J4hlY3zngu+wpmMpiiPDI36dvB6UFgMZTH8VYvCSXLV58RJILXIFjyZZeWxQbeWAppEvCPwq86wHJrYsysdlJ3A5gXQ7zVrlIbkh0hgINcOnH/s08yLzUAbeytfqPslbMv9UqEcQiUFWJ23eOf9z3HnxneTtPFb71/iXsMEVHf9bTF2ND3JQU3lC/T4JK8G/nftv1PuD9FPPp6xr8QUCZBUfjVQoHgNY8UY4/zOw7uNOUkC8cryrZakUvJd/u7gtWYHYvdliJcRQtj+nE+sCp+5nl65PLMiXvk7+dYP9E72nK98M1z8LC9dTaF1faX8zhOPE4MIMFaqMR02446U7uHTBpaybe2phyJzGAAl8mBmXGIqT1BiU/tNd/QnsbBuBVAOXR0e5fniQzngTQaOYQqmrClu/cBEfWb8YIyC1pWbGKrssXBRcSX3VHw7NJ83PgsCvIYQKrqTK42ZFGvFbKvvybmX2JAR5enRyLqJ4f21BBZAYYK/iZ3/2QS5fdDntwXba64q/m1UnicElbG9MoM6vYUVX0R7/e8Dmn1osLqiz+bfGBgzb5LsXfJcVTStoCBqsXSDrDoKGhjBDhEjiFxn0qvPitX4mQ5r9tYW4uz+Y8P7U67NIK4L+VOWsstJjBzw+7xrjJkq9rXCOIjlECoM/Df03PfEevnDWFwgaAXpHZUqu2zhSSQ4WijxXt67mrkvvIpA+nX2537HVuBFt0b/wvrZWvqfEuKKjnRQxvn3Bt1nUsIiQWawLCZoaluqjSYxVvmZVg3Ufc6rwvddcIcHh8m9Jl1KhEnoCJeXa38N1Dxa3JSsT+981fZsbUzcicgHHYqiQRgwyK/Bd9zqWQLC6JdC8qLjAT6WYxQziODG4cLJ+MhgMBh/DxubvT/57lrVH0BxVsrPBTxwfqtO/3vZMUnPIIGxqpLJ5ZkV8xHHcTHYOSzFRFFFyODe47QtKV5IpsuiBeiaEawnk0qXZDeUQQl6LlQQEJbnY4645WKzMNSo/cI1BnbqsyX6tbI3diufoaT/hbb9R6bguvCm5Vcb9sC6CDVy78loALlherHzuqPeRsH0IZGGV6i/m50f80rI42NdGfNeNXNMb5GODw/xq/0HOir6TE5qL1eWXrJQBwcF4GowgESFdVWKCe1NyjplYbeEM0m3hLXwrh2bKFN5sXBaVTRBLajTluXZnnPRlX6TiOMARQH2l51txXEA+N5lo9XlxnnslOcQ+VefpoXu4fNHlrG5dTcjU5MqHQDAkz0lNjxDHVyzy9DfRkbuKpdZn8ScuJBdfzA5D52sNEeZnc6yPfIlXtcp4wbL24nUFDY2cFqBOOLUE3nqNSueYdVb689Y4lMO9H8mhykJ3zmkyduENPlcQ4qn6RTwi1mDk29ltaEXlSCkTsbqv6KIyAnKce77VrqVCmuxM4jgxuHAE7y69kTHtT1y28DLagm2oimB+s3x4pMui+PKnfcWW30IIFrbKfbRGfDLI6WBEmfgB9oWKL6Ba3znhuJKHO1JlHBQf9lBbaSXuROOgmCVRhjq/QSjjZ6/u7MesIoC8+3MLqyrBS1aRyscFnIpbgyzwu7BOl/9UOkKyxcPcpuIL4rqSANK2huIRvK4lF01ZYOssiYa5eixKl2WRMEoF9BWndPKuM7u49uz5qD7P/Q61MSG81xJsqTLO80K7zQcrwdUQ3eMKUXFYm1/eh/1OIWZVsvEWVgWqHLu8sKra/gBh5/hVo4VA4YOrPwhA0FQZS0lfezhSfFYG7EghSA1SyNuZdnKDryV16Ap+2B3nV/sPcuvBLC3+4rOzoiPC+cukklEf0EtbbVe7jyX3u9q8TFAYWA7vs13h3ixtC7OwJYRfzJauJIBQjSUBJvtMeBWTagrXNOI4MbhwBO9d4RC2yHLViqsKmxa2yG2qIsgoxUlKBUqF2iKHGJpDBjmtOG5Qa2ci+D3EUOhrUwlebbzaOChaF9WELhTJRtEmFH4BQ8WXDdGraSSFKLaVqLY/KLZ2qDjOS0g1rsUI8kjAT1SFEyLrSzZdt04Ww3XU+0k4Fbd9dkOh4AqkYHExp7E4DiBtlr6Mpqby2ctOYF5TEM3nud/hieevlAyr3G/vuGpCAIoCo4oQaA+2I2ynyE3RqxP2pAW+V/g11tzfgKqwKRznrLbX0R6U9yjoufd1kaJlO1RGDAFDJZ62JGEDVt6gy7IYsUOFrgMuvn3lGn5y3VoWt4ZKrPSqJDdZYVpe3TzhOC8hjRf4H1m/mF9+6CzqtNmMqCrDilKdkKB4vxW9hvXjfXaOE8ORhRkiJQT3hSwaxWoW1BcrcN99VhcAqzrryKrygcvZAstfOvGLHWJoDJYSw5A+scape9weJcGucnhdCjUFvvMgVdPavePCHePz6h34dBUjI89xn6aRCnXyiZ+/wLae6PjBk7VqvC9tNaELoAf5ZShIwFJZEj61ZNMnLl7Gtn++iIhPK1gMvTQUXBYArWEfYZ8UVkvbIoVAZxIforw+wXtYv5cYqpBXybVUGTdZDRZKLYYJUO8P0GgJWeQWaJrQsijZH9TQsr3ac21i+Fk4RF7YvGb2mwqbXNcdQFNdiJwtz2vQjhQaSYKMF4wksmRyeRqDBnFbzt+wHcJvlIolXVVYu6BJul8dIWmpvgndn95zlAebpMVQlRiq709T5TKxzaZ87vfo2p83z9Xmb7LnOI04TgwujBC/CgWIqXnm65eUbDp9QRO7v3QJy9ojskAKGCNYoplC0WJoCpnYnpdxxKimcXqFaQ3tuTCulsB3LYba2jhQVbv36QpKRmp++3SNf31ilP9+ah8/eXrf+MHmJK9Fr+3CcjEo4JGAn3ljbQSMUn+7EAJTUwkYGkmHGHrshhLNFGB2vXyx5jQWXYGDor6EQMphBCZrMXivucq1TNZtIA8u/1ZxRQQMlcasJi2GalZA+bEnIfDlAarsU/eTBf4nHKIp3kxXXVdh00mdRQu4OeQr3m/qSu53wFDpGZNB6tawWZi/YcLj5q8Ezr3JmFWuo/xaqgnoEsuimstwcvPX6pMW9W5dr00M7j7DVY7rPUen51Yyk+Md3/sTG/ePVP/dFHCcGBzk9SB3RiI0p0PMMk8Yt90NFruWwKgdHCdYFrc6qachE1svCgxRLeBn/hmxg8K4GgLf1T5qEoNz7CqCz6epkJFCYq+u859PSEKwxy24SqlmWk2b8zS5q2Ux/FpNYwlB3eiiCQWGqgjZ9A7pSiqskeHAJYZ6v0HccSUNUD9unBemlxgmEYgFqpOcohQzVGoKjNoWg09Xqcvqcq2Mam4fKM6FWVd678eNq+5HB9m/KK8F+EMwQJ+m0TC8vKRY7axFRaEZMNWCwB+wIyX3O+jJNmqN+EgWLIbqxKA4Vp7lq0WGHi17svNXbV68iQVVxjWareh52GVMghgKCkBtqxmQ7mQheOHAKI/tGKysnE0TjhODg0fsKHsMnc6RpQSMiQO2tjNJowTHPcBzmwL821tO4vJXzS5xU1TTTMeVwk8GtSwGd7nEWuMKazJPfFxFEeSUCE1Wjr2GSTYnGaE/lh4/uFr2x0SYQJj2jaXY1hPlt6bC8nSGeGZuiQAqh+ulkBZD6bgrz5C1GKd0NRQEVb8dwdQmnpdA2JP5NVk3TQ3rpyAIJi0wJnYbmJpCOOtjSFWJV8tSg6JgqfV8lSzCVHnsqTffzzU/fomfhkN0ZrPkYotL3oOVs4tCWK67IO/3kB0uiR00BIoE1Ro2C67AYUJViaGpQfrizbpaWrZnXqq6aSZpMXizi6rMX8AwaM8KaTHUcvu48zJZi8HJnNzaI9/vB7b2YVfU0KaO48Tg4J5kN425HPnRZeMESwmcSRqzAxUF/ptO7qQxaCA8lkDV/Xkf2moPsBe1BJDbwbOWxZCZRNofYKkB5llZ9hpFrak/Ok3EMIFm+uZvPcFF37iHTT6T18YT9NoNmFUERr0iUyR77YZx8/Lqpa3s/OIlnDSnvhBj6M3VVbUYAsEqwVwvvALIrHH9riCYhhiDT1cJZqUg34LBaTffzyd+volcvoKgKBBSraB3sPh3gjqGgViGRw8c4hmfyWWxOEPUlxC2piq0RUy5aJ+ukUQSwCCl93tZe9Ei87qSRuxQVUUq5KTAmpFaQneShWB/jouvcBITz5+pKbRkNHbrGnagme89sovr7nwGK5cfP9iNG07aYpDP15ZDkhh6x9K8dHBscuf8Z2LGiEEI8VkhxAEhxAbn3yWebZ8QQuwQQmwTQlzo+X6NEOIFZ9vXhZispDx82LbNQGKUhxL7uDCWoCffOC4rwouQKvP+RwkWWnNXguZYDHlEVQF0WKjmpoFiznNNAnF8lDWIwa/C3KzFPkcAhE2NgUoWg5saW810L0d5nreDfUMJtPCLALzGIYZq8xJxctsHqStxUxROTRFycXlHg+3N11W35CZLchME7Svv888U0FWIwdQUzKwct9nK0xdN899P7efJXYMT769mLMI/btzjOwfYP5QoGSbCm7GF4OJYYly2EcCDHzuPTf/0WvxGqSvJSyDLZxWJtzVsFuZFupKqKWYuuda6lkl2IfW+SxP1HytHFWL36SrNWdng8PcHLP7511v43eZeHnl5YPzgjFNnMVlLznkmNx+KsqRNfv5TpfmeBsy0xfBV27ZXO//uBRBCrADeBpwAXAR8Uwh3ZWxuA64DFjv/Lprh8+NHT+5j7de+RtrOccH817PbnlVVkOcdc+7F/PyS1LxyCH89vxTr+aDxxaoCDZAag1sqXw1d5xRbBleD26yrFjEsOE/+dRfbmQD7zYVE7AYGFRuUNPOaA5UtBpAN4z7wRO1zrIH5zUG08EsszmTosixiBKoSsV/IdgQJJUhjoLIfXVXk4vIA/dRXF0CuJnk4VlC1fbq9/athUq4kFd3NFqOoje4rE+Il+6tFDIVxUlBtPjjGld9/iqtvf4pUNle8jMgmlmZydOblUp7lLj6/oRL26SWupJhWj1fPa4sUF7lqjfiKFgPVLYbCvFRLVfVeS635q1Z5PxGqHNvUFOozPmwheHosiqEpNAR0/ve57vGD005mnzcVvRJU53k2Q+TyNtt7opy9qIUHP/Zqrj17fvXfHib+Eq6kNwA/sW07bdv2bmAHcJoQYhYQsW37CVs6zu4E3jjTJ/Pgtn70yAbq9Xbmnvtl8ihVXRbdTWdxdeYf+HbuUtrrJq50DZoan7Cu45n8Yny1LIaPbYO3/7j2yV79K/h0X+1xV9wB7/lDbcti6UXwqV7Z/6YKhB7gT3XvBUDRB5jXFCSaskqERQELXl29hsHFm74Lb/4BAD94bDf/ePeLZKyigNP0OGpgD4Lz2HjqlwGqEux3Gz7Kj63zGAguG1dl7kXOSQoYsGtYDO7Lesq7a18LQPOS2mOMoNQ2axnCrvCrkrPu0xVy+SB1uRwHKJL0/uEKxKBPkhjKLIvP/eol/LrKroE43390Nxkrj9CGUQP7eE3KJqE3AGLC2I9fV2XTQiChlVqlXpIoyUqyq8cYJm91uVp2DcthAou1Kqq8Vz5dJZKW2/fmYkR8Oq8/qYPfbe4teb6BQguemsTgqeA+OJIkmc2xtD1EV3OQmXKqVCmLnRZcL4S4CngG+Kht28PAbOBPnjHdzndZ53P59+MghLgOaVkwd26VgqtJoKU+jWrvoD7/etJZ6Z+tJjACpsZDedl/vaN+Ym0jYGgkHcFZ02KYLISYXBzCX19s21sL1XrnOPDpCorVCiooxiDzGuWD3x9NM6fxMEv0V72l8PGXzx9gY/couwfi3PbONYRMjRE2IoTN7qHT2XPqa4ENVTX8keB8Pmm9lzX11QXBDnM5/61exSMDK7mwKjGE4B/2FFfEq4b/s7t6OwwX4XbZiLAWllwoO4NWEUCmLrX1Tsuix5DxlVl1PvYNJccPNv58V1Iub/PM3mHee84C7nvxEFt7osTTFlpkEwBnpzQSWgBNEYV1z8sRMFSSGIzZfgzf+Hdldr2fAyNJWsO+oiupVrpqgbxqEIPiiLamRdXHTTNMTcGXDaPYNodyAwRNleWzImSsPP2xdCFDDpDN/npeLF3dsBJalsm/J76JvqhM8W2LTOJ5mwKmRAxCiPuBSpGTTyHdQl8AbOfvvwLXAJUkm13l+/Ff2vZ3gO8AnHLKKVMKy++IP44QNt3dy0g4bXOrCSDXf60ISjp8jh8nH+5kNjeuYOdog6mr2NlmUAWK2UdXk3w5+2NTIAYPDo6mmN8c5PGdg3z0pxv49pWnkNI3kc/Wk4i1FSyTapZcwJmX9hovjGH4+W7ub0gTry6AoGbspXjwSWaTXfIVyE2CGOavq+neMzWFmO1nTtbiifwouipY2BIaFw8APBbIJCuuA40MxNLk8jazG/xE/DpjySzxjIUeeYFcspNAboRRX1PVe+g3VP6UX0EGneawOW77Lz54Js/vHyHi1+ihkRSmtOSqWdjtK+Wa2x2rJx4DskL/9V+HZZNw0V761eIyv9UQaCo2N5wAPl3ll9armaUdZDR3kJCh0epce3+0jBg6T4EbX6p93Nbl8MlDYATof7EHkCnxM4kpEYNt26+ZzDghxHeB/+f8txuY49ncCRx0vu+s8P2M4mD2aXLpFqIjjewZkC9VNQ0/4Dy09QGjqhnnTXmtFAw9muDXVUaSGnVaGwNmH/OaihbDVJGx8gzE0rzj9LnsG0zwxK5B4pk4tn8b1shppLM28bRreU1MsAFHQNXSpAKmyq5+qXXVJIbpxmSJZhLw6Sr350/mdXW7Gcu9hN8QzGn08/vNveMHtyyFU98Li2q8rooCp78fll3KwRFpeXTU+Yj4dMZSWbrH+lD93aT7LuS2+rW0NkQwoxO/Az5N5ce59fw4t57XhMbHfVojPi48oZ20leMXubN5yX8qCU+zvYqIzIL33F/9OlysuXpy47xrblfD37/IBLpqAaamsMWexzn1K9nSv5M2U6XFIYY+p6DvsOBYj27SR0sFop1OzGRWkjfyeTnwovP5HuBtQghTCDEfGWR+yrbtQ0BUCLHWyUa6Crh7ps4PYCwzxpi9DSsqtQU3N7+axuIGnOv81YPArsUAlGoJRyF8ukIqkyOidqIYvYUGdtNBDL1jKWxbukFaIiaDsQwP7HsEoVhEcrLD5lA845zHxPOSc/K52+uqvzBBQ2M0KQPV9VUsvlc6TE0hhUk6cjY2OQL+KJ0NAQZiGeLpMqtE1eF1/1K7/QjAxbfC/HPocVpnt9fJliLRlMWTPY8DYMWWsjM/i16lrXoxmpMJBtU1XENVQNHYGpfPVcT3ClWkjEDNmIVr1baac0mLXnyGbMsCE9T+/JlwicFtDjlTmEkfx5ed1NNNwHnADQC2bb8E/BTYDNwHfMi23d7PfAD4HjIgvRP4zQyeH490PwIij5GWWTz9Y64mWUUzdQR+LWLwWgydDUemVe5MwaerpKwcIWU2ijlAXUBBiOkhhkOOAJpV56clZJLJ5fnt7j9g5/x0+CVhD8blcaoVuI05wr6mxeAh/Zk2x2cSmiJQBPiETGnV/UPMddx6FQPQfyYOeuYl4pOupGf7HyOfjVCvzSORyZHK5qrOCVDIJKt2r4WQBGLbMhV6opjF0QD3fjSbc0HkUY1BmkIGQkDf2PQQQ0NAR5/hezRj1Gzb9pVVtt0M3Fzh+2eAE2fqnMrxwL4HIBdmdmAp28bi9EVdAVSlh44zIbWIwbvAyJyGo9xi0FQpBOwOhMjREz9AY8CYFg3I7d3fUe9zLIM8z/Q9gRVbSkdjkI37owzEMlWDnEChS2dTsLqw9xJDUwX3xtECIQQ+XcXnhPhUo7+QDNEzmipZx+Bw0DMq12VuCOhE/BrRVJotw89gxU5gTthHPGORtvJV4z4A6azMxKnl+vAbKrG0RX3w6LXioGjV1mvSK55Te9BVhcaAUZAvU8FgLHNEFJqjl5qniEwuw6MHHiUXXc7cRpnC6GrA1VxJMcdMr+WGOFY0U5D3I5nJoeekd3Dn6E5awua0WAwHR1yXhZ/mkIni6yZujWLFljHLWaVtMJauGQ9QnRTVmvPiELahKYSP8tiPqSmIXBjF9mHr/YUg53QIoIOjKWbV+RBCEPbpZPRdpPIJcvGltIRNEunJWQxuZl6td8B1OdX7j16yhqLFEFE7wBZklEMA0/a+DMTSR0Sh+aslhqd6niJhJUhHVzDHcfUccAJuoSoC4+S5MoD49tOqp8l6A87V8uqPBpi6QsrKI7KtYAt2jOyYtgf90GiSsE8jZGo0hQy00DZAYMUXM8upEzk0miqJ2VTCl9+8io9esIQTOqprykGHsFtC5ozlgB8pmJpK2sqj5VqxlL6C8J2OeekZTRWIOeLT0EJbUdCw4otp9VgMVYsEPWiuIcyKSR3HhsWQy+vksw0kOADIQHt/dArBZwcDxy2GmcXu0d2E9DC5+ELmNMoXYO+g9M02TFA5C9DVHGTPLa8rrA88EQLT3QbjLwifppKx8iQzKrrdxK6RXbSEps9i6HAEUHPIRAttxZdbALkgs+olMfSMpWis4SLqqPfz4fWLawp7N/ZTS1AdDfDpCmkrj7BaSYteWXFsatNIDPL+h306anAbDepSyJu0hE1S2TyxlFU9g8iDSumqpddSzPY7muES5VgySz7dyljOIYawOS2W3EA0fZwYZhJXrriSb5z1S7B12iM+NEWQzOYI+zSMGubxZFCtXcbRBvelHYpn8NNRtBhi6Sl3dxxLZgtaYl4ZQ/UfIBuVVcSuYLJtufb0dMAl7KPdvQeOxZDNk0s3k2aQlJUqzMtUMRTPFDJfLGUI1deLL3sCioAm5/tDo8lJC/Ja97tgMdSI3b3S4cYnB+MZ8plWRq0DWHmLlrDJQCxNvlKTw0kilc0RTVsznqoKf8XE8OMn9/E3tz0NSC3FXeWraZrSwFxX0jtOn1pl9isBfkcLGopnCCud7BnbQ1NII2PlC+v7Hi7SVq5API8ffBSAsaHFAAVXBlDTYpgs3BjDMUEMukLKypFNNQE2e8f2SmKYYvaLbdsl87I7/gwAmbGlBA2t8GwPJ7I1kzBc1EpBdS2PakWjRwN0VWaLDcUz5NJt5GyLfWP7aAoaZHM2sczhvy+DTtr2kbB2/2qJYa6nYrfOrxP2yQdyuvKDDU1h4z++ls+/4YglWc0YvBZDvT4HK2+hGLICdKpui7SVLwTsHjnwCEq+jnx6FqoiSoT3tBG2o5kezRlJLtxssWRcdvv0WnJTQTZnk7eLbpEto0+RzzTSPxwhYKol8Z5axOC2167l4nMTPuqOcleSu6rgUDxDPiWTNbYPby+8QxX7i00SMUcJC5k62XyW6/9wPY8ffHzqJ10Bx46/w4NsNkt3dzep1MTBnibgu5fJicsPd/OFc+vJ5Orw6wpbtmw5Qmd6ZODz+ejs7ETXD08bcx9qK2/TZMyBLKQ4APjoj6YLS5oeDtyUx2w+yxMHn6CeVzGKQCDJ1dAUMlZ+2gi7GGM4NiyGwViGXLoFBY1tw9toCXdNA1k7LUg0lXQuzUvDz2DFTiadytES9pXU6NQihp9/8EySmdrC0HUlHe0WA0hCHYxJV5KCwvbh7XToUkFMZSqsyzBJuKTi0xWe7X2Wh7of4vLFl0/LOZfjmCSG7u5uwuEwXV1dVTWVtniavmiaJW1h9gzEiaUtGgMGndPQ/+eVAtu2GRwcpLu7m/nzD69FrzfzpM0/DyWhMGztA5ZMWTtNZXP4NIUNfRuIZWOc37SWvRQbFIZMjSErM43E4MQYjoCfdqZhaopT+6HSZM5h+/B2VoUvI5a2SGSsqisRVkPa6QJq6gpP9zxNOpfGislGbtKVVLQYaqdta5M6j0K66jFADK7FgK3RHpjDyyMvs7DZsRisw7cYisSgcv/e+/Frfs7sqNGA7zBxTLqSUqkUTU1NNc3XxqDJsvYIihAozlhVPbpTGMshhKCpqamq9VQL3hqCiBlgXmQeBxI7gWlyJekKD3c/jKZofPHiv+Hej5zD96+W3WHd1OHpIob5zUFCpsaKWTVaHR8FMHWVoYT0O3f4F/Dy0Mu0TEPKaoEYNIVHuh/Bp/rIJxcAstWLN7FiugS539nn0Z6VBFKRctu4zAsv5OXhlwvK1WSsp4mQcubF0GRx7tmzz8Z/OOtJTALHJDFAbZ9mOdwCKe1w+rO/wjHVfH0vMQQMlWWNy9g5ug2g0HfocJHO5jA1lUe6H2FN2xqCepAVHREWt0nBHZxmYpjTGODFz13IotZjgBgcNxtAZ3Ahfck+/D6pAEyFGArdbDVJ2Ke2n4qpSsIptxgmG3yuhWKB27FhMWScpTyXNCzlQOwAtpA1UlOJMbi/3R19gf5kP+vnrp/6yU6AY08KHiaKxHBsWQzTgVJi0FjeuJyeRA9hf5poamrEkLLyWGKAnaM7WTd7fKtptzp5uoLPxxK8rVu6InLdgZHcXqDYIuRw4LaxGMsdoDvWzbmd5xYyxJpDZlmMYXrmJeLXEKJ2S5OjAV7X68rmEwA4kNwOFLX+w4FLDI/1/pagHuT8uedP4Syr4zgxOHBdSdo0uJJGRkb45je/WXXMnj17+PGPa6/atmfPHk488S+b2eR90E+f38iyRulv9od6GEsevgCycnlyeZteawMA53SeM26Mq53OdDfJoxHeeVlSL2s/epO7AUhMwWXhBp+3R2U697rOdXzrnWu4/V2n8OlLl5e4kqbLYnjTyZ3c/q5TqTtGYgwuTm6XqyPui8uElqm4ktLZPIgMT/T8kQu7LpwxNxIcJ4YCXItBnQaLYTqJ4ZWAiJPKe/Lceha3hVneuBwALXBwShaD68vuTj9HZ6iTrkjXuDEhn44Qx4bvebrhFahkPvkAACAASURBVECzwi00+Zo4kNgFQGIK+fLuvGwZ+RNLGpYwKzSLpe1hzl/WRtinl/QSmy5iqPPrnLd04qVMjya4HWU1RdAcqGd+3Xx2RyUxpKcSfLZyaMGXSeYSXDz/4mk514lwTGYlefG5X73E5oNjNcfl8jYpK0fA0CouJefFio4I//T6EybcftNNN7Fz505Wr17NBRdcAMBvfvMbhBB8+tOf5q1vfSs33XQTW7ZsYfXq1Vx99dVcfvnlXHnllcTjcn3Xb3zjG5x55sxkHPy56Kj388NrT+PULrlSWb2vnnmReQzm9k7JZZHK5kBk6E5t4m3L3lIxFtIUNGgNm9NC2McavA3s5jUFWNKwhD3RHcDZheZ1h4NUNgdKgh1jL3LtyvGL2BiagqEq6KqYli4Bxxpcwl7UGkIIwcrmlTy0/xHg0qoWQzSV5b/+tI9rz55f8b6ms3nU0DaCeog1rWtm6vSB4xZDAaoiCOi1SWEyuOWWW1i4cCEbNmxg7dq1bNiwgY0bN3L//ffz8Y9/nEOHDnHLLbdwzjnnsGHDBm644QZaW1v5/e9/z3PPPcddd93FRz7ykWk4k+nDOYtbSmINJ7WcRErZxVg6c9j7TFt51OAOcnaWczvPrTjmw+cv4s5rTj/sYxzLcOejLSL9/ksbl7J3bBeQK6x6dzhIW3m00MvkybGus/ISowFTnTZr4ViDazGc0CHXC1/VvIrRzDBCH64afP7Rk/u49b6tPLS9v+L2ZMZCC23ljFlnoKsze++PeYuhmmZ/JPDoo4/y9re/HVVVaWtr49xzz+Xpp58mEintAprNZrn++uvZsGEDqqqyffv2v9AZTw4ntZzEPTvvYSTTM+GYAyNJIj6tUFVeDimAtmIqAU5pO6XimKaQSdMxUIw2E3AtBncN7iUNS8jkMyjGAMkpupK00BYiej0rm1dWHBM0NCLHiaEi3EWjVs6W7/jKFnkPVf9+ktnKwWfbtvn5c90APLdvmAtWtI0bcyi1E0Uf49w51dcDnw4c88Twl8Zkm8x99atfpa2tjY0bN5LP5/H5qq9E9pfG6la5GHuMHROOueK2xzlncQu3vnlVxe2JTBYttIUlkTUzrgEdy/ASA4A/1Dul4HMyk0ELbufUtlejKpW7pwZN9ZhILZ0JvNwbA+DE2dJiWNywGFM1yfj2TWgxbDkUZXtvDCHgub3DFcfsScieVWfPPnsGzroUx11JM4BwOEw0GgVg3bp13HXXXeRyOfr7+3n44Yc57bTTSsYAjI6OMmvWLBRF4Yc//CG53OG/2EcCC+sWogs/GW13RfIbjKU5OJri0R0DE+5j+/A2FD3KqsYzZvJUj1m4S3h2NUtiWFC/AEMx0P2HiE9ADPm8zTceeJl9gxMv/7k7uhmhJTirY3yWmIuLT5zFhSeM12qPo+hKWuGsDaIrOiuaVqAFuiesfN7YPQLAa5a3sbF7hGxuvGVxIPMcIj2HZn/zDJ15EVMiBiHEFUKIl4QQeSHEKWXbPiGE2CGE2CaEuNDz/RpnLegdQoivCyfiKIQwhRB3Od8/KYTomsq5/SXR1NTEWWedxYknnsgTTzzBqlWrOOmkkzj//PP58pe/THt7O6tWrULTNE466SS++tWv8sEPfpA77riDtWvXsn37doLB6ouO/6WhKirt5lKEb0/FQOeOPqk1HRhJ0j3BGsRP9z2CbQte1XycGA4HbjLAectkEz1d0VnUsAhhHpjQlbStN8q//G47677yxwkzl7aOPYltK1XbLdxwwRLeddbhtVg51nHnNadx2ztOLqn3WNm8EsV3gES6cuHhnsE4hqpw6apZpLJ5tvVES7YPpYYYzu3EyBwZ1/hUXUkvAm8Cvu39UgixAngbcALQAdwvhFhi23YOuA24DvgTcC9wEfAb4Fpg2LbtRUKItwG3Am+d4vn9xVCeivqVr3yl5P+6rvOHP/yh5LtNmzYVPn/pS18CoKurixdffHGGznJqmBtcwb7kRnqiIyxoKtViXnaIAeDJXUN0rhnff2rD4BPkk3NoDjTO+Lkei7j4xHY2f/7CEgG0rHEZW/t/Szw9ATF4BM5/P7Wfa88eL9x3JZ4ml5hPc7Bu+k/6rwDzmoLMaypV7Na0reHOzXdyKL0VWD3uN3sHEsxp9BcKCUcSWbK5PLc/upurzuji/r33AzYB66QjcAVTtBhs295i2/a2CpveAPzEtu20bdu7gR3AaUKIWUDEtu0nbOl/uBN4o+c3dziffwasF1Pt5XAcM4ol9ScihM3zvZvGbdvRFyNkatT5dZ7aPTRue1+ij/3x7Vix5SX5+McxeQghxjWoW9a4jLwSZzRb2YW3tSeKrgpm1/t5YufguO3d0W6Gs/uxYssw1OOe5unCae2nga1wKLOx4vY9g3G6moKFgs5Y2uLeFw7xpd9s5V9/t43f7fkdPtoIiiOzvstMzfxsYL/n/93Od7Odz+Xfl/zGtm0LGEV2xx4HIcR1QohnhBDP9PdXTu06jpnHsoYTsW3B833Pj9v2cl+URa0hTu1q5Mnd4wXQw90PA2DFlk963eDjqI0VTSsAGM5VTgrY1jPGwpYQZy1q4uk9Q+NWFHPnRUmuOOrXxH4lIWSEMKwFDObHK1G2bbN3MMG8pmChqjyetgpZZy/1HeDp3qepy51akjI+k6j5Rgoh7hdCvFjh3xuq/azCd3aV76v9ZvyXtv0d27ZPsW37lJaWluoXcBwzhrZQHflUBy8NPTdu286+OAtbQqxd0MiewQS9Y7K526HRJIOxNA/uf5A6vZV8uu24xTCNWNG4AoFOlJcrbt/WE2Vpe5jT5zcxmsyyrTeKbdu8545neGBrLw93P0xImYVpHw8sTzdC+RXE2cdAstSa64+mSWZzdDUHCk0jExkLyyHtvemHyNt5/JlT8R2hd6VmjMG27dccxn67gTme/3cCB53vOyt87/1NtxBCA+qA8T6I43jFIOzTySUWsjv2BEkrWdK7JZrK0hDQOW2+jB88uXuIy07q4IwvPYBQY9QvfYxX1b+ebkRJBe9xTA26qlMnFhFVxxPDWCrLwdEUS9vDhXl5du8wcxsD3L+ll/u37qNxxVPMUV/DoSOkmf41oUGsZIh7uHfHwxw6sIKPv3YpiiLY42SIzStxJeUwtRxgE9Uf4+TWkxnc0YIvdGTelZk6yj3A25xMo/nAYuAp27YPAVEhxFonfnAVcLfnN1c7n98MPGBPdaX545hRRHw6VnwhOTvLDb/8JX/aJV1Gtm2TzMo1g1fMihAyNZ72xBm0uuexbItlIdk22DwuhKYVLfoyctoBYplYyfeDMVml3h7x0RaRdTLD8UwhUK0Fd5DNZ2lgdSHl8jimD/VaF0o+xK+2/5HbHtzJnkHZ/sa1pmfV+fDrKoqQFkM8Y6EGdoE+wBsXXU46m3/luJKqQQhxuRCiGzgD+LUQ4rcAtm2/BPwU2AzcB3zIyUgC+ADwPWRAeicyIwng+0CTEGIHcCNw01TO7ThmHmGfRi7RhUDlgb2Pce8Lh4DimsF+Q0VTFeY2Bjg0mnR+ZaPXPcOiyApCigwvHbcYphcd5goQNk8depYv3ruF0YSsxHX79Ph1FUNTMDWFaNoi5hCDGt5CSA/hzy867t6bAfh1HSO7lD2J54E8fc6aGW66d8BQEUIQNDRnFb4ceuOj5K0gJ9atI2Xljg5isG37F7Ztd9q2bdq23Wbb9oWebTfbtr3Qtu2ltm3/xvP9M7Ztn+hsu961CmzbTtm2fYVt24ts2z7Ntu1dUzm3vzSuueYaWltbS1pmDw0NccEFF7B48WIuuOAChoeLFY7PP/8873nPewC4++67WbVqFatXr+aUU07h0UcfBSCTybBu3Tos6/DbHUwnAoZKyAgSyC9CC22lZ1RqPknPEoQADUGd4USWfN5G8XWj+nqZa7yaVLa4UthxTB/mBFdg5zV+/fJDfOfhXTz0skzQcIur3HkJ+3SiKcvpq5RHC23jzI4zyVjH3XszAb+uoqSWkcqPovgOFIjBrYZ2FysKmCqJdI5D8f1ooa1kh0/nwLBFKps/Yokax2d/hvCud72L++67r+S7W265hfXr1/Pyyy+zfv16brnllsK2L37xi3z4wx8GYP369WzcuJENGzZw++23FwjDMAzWr1/PXXfddeQupAqEEHQ2+BkdXITq66U7KsNF3kXLARoCBsPxDLGMhV7/LHZeIzW8krSVw9SU49kv04yIGSSX6GLjoFxPYShWKoCKxKARTWWJpS3U4A4ULcrJTeeSto6cy+KvCaauYsWWI1DQwi/R57iQCpac0848aGrEMhYvRu8FFLIja4mmLFLOaodHAsd+r6Tf3AQ9L0zvPttXwsW3VB2ybt069uzZU/Ld3XffzYMPPgjA1Vdfzatf/WpuvfVWotEomzZt4qSTZPFKKBQq/CYej5cIzje+8Y184hOf4B3veMf0XMsUMacxwPYdS9Fafs2h7HPAZeM0oMagwVAiw0A8hh7ZgBVdyYipko7kj2umM4CAoWLFF9Mb+g1CGyusP+yuzOYSdtgnXRbxtIVe/wy2FaBdX0Pa2nt8XmYAfl0lk/YRYSlW+KVxriQ34yhoaIylx9ijPIg1ugrbipDIWEdPjOE4/jz09v7/9s49uqrqzuOf330/8sYEAgmIghDA8ooIM5bW6qjFGRR5NIwjdgli1emaLrUDlmmXdnXscqzV2qozzsAqVSsgDsVxfABVassSERRUiEpQHAKJQAIhr/vMnj/OuTc35N4bILk394b9Weuue9hnn8ve2eec3/799t7f/RWlpaUAlJaWcvToUQB27tzZbZe2DRs2MHbsWK6//npWrVoVTZ8wYQLvvfde+grdA+WFHjoCxYT9xfiduwiGO6I3enQfX4+DpvYgWw7+EbH6CJ6cSmsgZHgMumfa57gdVsKtYwCw5X5MY5thGE4P8eU4bTT7Qhxra8SWs5fgqUkcORnCH9IGOxW47Bbag2HcgclYnceoOfkJYLSL02bBYu454nVaqQ2/ThgfXr+xfWezL0QgnL5Q0sD3GHro2WcCdXV1nL4eY86cOcyZM4e3336bH//4x2zZsgUAq9WKw+GgubmZ3Nz+39C+vMgNCKGmKThL3mBP/edYw8a6xMgLqMhjRyl47cuNdAQKyZextPgiPSD9AuprvA4bHf4huNVwwvm7aGy9Cegey8512Wg43saOY39ELGGCJy+jvqkdXzB9g5znE267lVCHItw8EVX4IjW+TcAcfIFwl13x7I4WGthMYcdl5DgvpoFOry9doST9VKaRwYMHU1dnzNypq6ujpMTYytDtduPz+eJeM3PmTA4cOMDx452LYvx+f8bIcpcXGhpIoVOTUUrYsH9DdFC5c/DZgcX1f9Q07yZ4Yjql+R5a/GGzZ6pfQH2Nx3zJ2Nsux+o+zOHWAwDd2iXHaeeUL8Duk28Qbi+DQCmt0XbRr4a+JvJ3P9ZkJdg0mROWd2n0NRpeRIwhPmp9BUWIAv9sCjx2HFZLdKqxHnwegMyePZvVqw05qNWrV3PDDcbi8YqKCmpqOiUMampqolLW77//PoFAgEGDjF54Q0MDxcXF2O2ZoYVfXmQYhksGlRNuGcObh1+m2W9MTY3cxAVuO86STTgkl8CJ6ZTmu2n1RwbT9C3Y10QMw4mjE1AdVuo7/gx0nxSQ67LRYtnH8cBBgicvozjXGY1la4Pd95TkGRtOtfhDBBq/DoR5avdTtAU6DcOBkweo69iKpeWvCPoH4XHY8DitNLRGDIP2GLKahQsXMmPGDD799FPKyspYuXIly5cvZ/PmzYwePZrNmzezfLmxVGPs2LE0NTVF92d46aWXmDBhApMmTeLuu+9m7dq10QHot956i1mzZvVbvU6nvMiNRaDywkICjVfQEjrJX+qN2ckR93h7wwZs3hqKQ38Hyklpvov2YJi2gA5ZpIKhBcYK9Dafk1DzeNocOwiEA3HGGKyE81/DYynG3jaNHKfN9BjCeoFbCigr7FQY9jCEwInLefGzF6kP7sFltxIMB1nxlxXYxUvg+FW0BULkOK14HTYaW42Baj3GkOW88MILcdNPl9qOcNttt7F27VqWLFnCsmXLWLZsWdx8v//976OS3JmAx2Fj5XcvY8LQfNbtPESJvYL/qX0aW95N7Gmw8MqhvTy3fzXB5nG0tE0DfJQWGGGwYy1+SvMzIyQ2kBhW4MZps+APdRBsqsSe/yF/2L8Rf9DYSS/ipR0O/Rmru5ZyWcyXThdep43WgDFfXntyfc/wok7DcFFxDh/VXcvYCxv4rOkJ3LmjufnVX1PdWM2Vhffxss9NszWEx2nD67RGZzCdrqabKnTrZwh33nknTmfyvY0DgQA33ngjY8aMSVOpzowrx5RQnOvE67Ax1fUDCh3DcA9by892/jOr963m6uHX4Du8kNpGHy67hUKPA4DaE20UmMeavsNiES4qNqc8t19CqHUkj7//OI3+47jsxrqR+tZ6tp34LeG24dBSSY7Thtdho6k9SHswnHCfbs25c0GOIxoyGpLvgg4X/zL1l+SHZqIsLTQHmnlk5iNMKDC27mxsDeB1WPE4bNHFo4Vpel60YcgQXC4Xt9xyS9I8DoeDRYsWpalEZ4/HYSMU8rBw2GO0fbmYJ6/8L7b//XZ++c1f4LQaRi/XZY8qSPqCHRR59AsoFYwqMQzD8CIv/vo5BDuCvHHiRziK3uH1g69z+6bbUSqMr24uX50K4HVa8TqtfGW+gHJdOpjQ14iIOYvP0KsCcEg+Oa3zmGj5Ka/NfY3rRl4XfT7AeKa8TmtUabUwTc+LNgyaPsPjsNIeCBMIQbhtNNOHXobX7kVEoj2dPJeNHGfnuIL2GFLDKNNjuLg4h45ACcsn/gYbXlTRBn74px/SFmpj6dif0REYTH2TD6/Dhsdh4yszZJGnPYaUEJnFN8QMobYHw/hOm5XkjQkX5ThtXcJH+WkyDLpboOkzPA4rbYEw7YEwFgG7tXPF9oRhedSf8mG3Wrrc+EVebRhSwcUl3uj3lmrwynAq7f/KnroanviH0YwbNI6PaluAdwiGlRFKctoImz3TPLc2DKkgMosvom7bHjSely6GIdZjcFrxxqxxKHDrUJImy3A7rLQFQtEeUKyUxx3fuBgwtpbMiQlTFGrDkBIqRxRxUbGX6SONac7tQaNdPJbBTCqZhMPq6DKO4HXauryAdCgpNYwenIPVYmiMgaGT1B7susBtUE7nM+F12PCYhiLHacORpkkBuvU1fYbXYaP+lK/bjQ5w2YVFXDW2hMoLi8iJ6RGlK2Z6vjEk38Wb934zKtTWFjBDFjHtEtsOXmfnCwh0KClVzJ9azuTywuiGPBHDEDtte3J5QfTYabNEDXZBGp8V7TGkiLOV3f75z3/OqFGjGDNmDG+88UY0XSnFt771LU6dOsWhQ4e48sorqaioYPz48fzqV7+K5rvvvvt4880301O5BLjNMQZfggVSK797GXd+8+IurnK6Zlmcr7gcnS8gXzDcZWvIAo+diFOX47R2GfvRHkNqcNgsjBuaFzXQrYEQgVBHl1CSiPDYdwxBzaEF7ujzog3DAOBsZLf37dvHmjVr2Lt3L6+//jp33XUX4bCxGOnVV19l4sSJ5OXlYbPZePTRR6murmb79u08+eST7Nu3D4Dvf//7XWS8+4PIGMPpPdPT6eIx6FBSSom8cHzBcDc9f4/Dxi3TRwDQGgh3GeTUYwypJdIuEQ0kt6Prq3jO5DL2/OQaJpYXRMfk0tmJGvDdgod3PMwnjZ/06W+OLRrLsmnxF6BFOBvZ7Y0bN1JVVYXT6WTkyJGMGjWKHTt2MGPGDJ5//nmWLl0KGIqsEXXW3NxcKioqOHz4MOPGjWPEiBE0NDRQX1/PkCFD+rS+Z4rHYSyQMlzjxH0Op82C1SKEOxRF2mNIKXarBZtFEhrsH82qoNkXYt7UMr40t5oUgVzngH819CsRw3AiYhjiKABEZiB5nJ0qxemit1t7zheRvSLSISKVMekXiki7iOw2P/8ec26qiHwkIjUi8oS59zPm/tBrzfR3ReTC3pQtE0kku3348GHKy8uj+crKyjh8+DAA27ZtY+rUqd1+6+DBg3zwwQdcfvnl0bQpU6awbdu2VFYhKZ5oKCkc90aPYGxfaMVpsyT1LDR9g9thNWa/nBZKAkMe47HvTGLK8MJozzTHYYtKQGtSg81qwWG10Ghuu5pMGqbTY0ifF9fbbsHHwE3Af8Q5d0ApNSlO+tPAUmA78CpwHca+z4uBE0qpUSJSBTwMfKeX5euxZ58JRATzYonM6GlsbOwmr93S0sLcuXN5/PHHycvLi6aXlJRw5MiR1BY2CR6HsRDnlC/Yo9ub67LjjVNvTd/jtlujoaRk+19EYtk6jJQeXHZLVAMpWQcpIopYkMZ26e2ez9VKqU/PNL+IlAJ5Sql3zL2efwfcaJ6+AVhtHq8HrhIZWHs+JpLdLisr49ChQ9F8tbW1DB06FACbzUZHR0f0XDAYZO7cudx8883cdNNNXX7f5/PhdrtTXY2EuM2eTWNLoEdxPK/Tqgee04TbHPvx9+DJRV5AeuA5Pbgd1qicdrJ26Rx8zpJQUg+MFJEPRORPIvJ1M20YUBuTp9ZMi5w7BKCUCgFNwKB4PywiS0Vkp4jsPHbsWGpKnwISyW7Pnj2bNWvW4Pf7+eKLL9i/fz/Tpk0DYMyYMXz++eeA4VksXryYiooK7rnnnm6//9lnn3XbCS6dRF4sDa2BpDc6GAt8IiqgmtTitltjpkUmfuQjkwL0VNX04HHYONHWs2GIPFeF3gwKJYnIFiDeaOYKpdTGBJfVAcOVUg0iMhX4g4iMB+J5AJF4QrJzXROVegZ4BqCysjIj4xELFy5k69atHD9+nLKyMh588EGWL1/OggULWLlyJcOHD+fFF18EYPz48SxYsIBx48Zhs9l48sknsVqNm+H6669n69atjBo1im3btvHss89y6aWXMmmSEaV76KGHmDVrFsFgkJqaGiorKxOWKdVEbmD/adPv4vHogolYBpZDmLG4HVZa/CFCHSqpJ+eJhpK0x5AOXHYrtSfajOMkoaQxQ3KZdekQpl8Ut5+cEnq8A5RSV5/tjyql/IDfPN4lIgeASzA8hLKYrGVAJCheC5QDtSJiA/KBxrP9vzOFs5XdXrFiBStWrOiWvmTJEhYtWsSSJUu44oor4o5HALzyyivMmzcPm63/HurY6Y496caX5Gq57XThtls5ER3kTNwu3mgoSXsM6cBttxAMG8+zJ+kYg42nbu4+ASWVpCSUJCLFImI1jy8CRgOfK6XqgGYRmW6OHywCIl7Hy8Ct5vE84E2V6C14HlFaWsrtt9/OqVOnkuYLhULce++9aSpVfGJv7sF6n4WMwW23Jp0WGSFi2PP0GENaiO1IZZox7tUdICJzgF8DxcD/ishupdS1wEzgpyISAsLA95RSkd7/ncBvATfGbKTXzPSVwLMiUoPhKVT1pmwDiQULFvSYZ/78+WkoSXJiZ1bEbkqi6V/cDiuNZiw72awkh83CqJIcxgzJS5hH03dEwnoiUJKbfC+WdNMrw6CU2gBsiJP+EvBSgmt2At1GSJVSPqD/326acyZWNbW8UBuGTMFttxIIGTPbevIGttzzjXQUSUNnR+qCHCd2a2aJUGRWaTRZjUd7DBlJV+XOzOqZns94TI8hE7e31YZB02fEvoDSKfilSU7suMIgrU2VMUSel8hubpmENgyaPiPWYxhgaxOzGu0xZCau2P2fMwxtGFJETk5OVvxmX3K6Do8mM4j1GPSMo8yjOAONtTYMmj4jIrw2I40LcTQ9E/EY7FbRnlwG0dRurC3JxLDrgO8+1D/0EP7qvpXddlaMZciPfnTG+R955BHWrVuH3+9nzpw5PPjggyxbtowRI0Zw1113AfDAAw+Qm5vLvffeGzd/trBjxVVaUiHDiIQsYufNa/qfpnZjCnEmihZqjyHFbNq0if3797Njxw52797Nrl27ePvtt6mqqmLt2rXRfOvWrWP+/PkJ82cLJbmuHgX0NOklMvaTbHWtJv2MH5oPwOiS3B5ypp8B34U4m559Kti0aRObNm1i8uTJgCGZvX//fhYvXszRo0c5cuQIx44do7CwkOHDh/PEE0/EzT9z5sz+rIYmi4mMMei9LzKL733jYv5m3GAuGawNw3mHUor777+fO+64o9u5efPmsX79eurr66mqquoxv0ZzLkQMg1eHkjIKq0Uy0iiADiWlnGuvvZZVq1bR0tICGLu1RXZuq6qqYs2aNaxfv5558+b1mF+j6Q06lKQ5U3QXIsVcc801VFdXM2PGDMCYcvrcc89RUlLC+PHjaW5uZtiwYdEtP5Pl12jOhWCHoUU5KEcvbtOcGZLtAqaVlZVq586dXdKqq6upqKjopxJlJvpvcv4SCnfwi02fcfvXR+oFbpooIrJLKRV3AxftMWg0Axyb1cLyb4/t72Josgg9xqDRaDSaLgxYw5DtIbK+RP8tNBrN2TAgDYPL5aKhoUG/EDGMQkNDAy5X5gl1aTSazGRAjjGUlZVRW1vLsWPH+rsoGYHL5aKsrKznjBqNRsMANQx2u52RI0f2dzE0Go0mK+lVKElEHhGRT0TkQxHZICIFMefuF5EaEflURK6NSZ8qIh+Z554QU+5RRJwistZMf1dELuxN2TQajUZzbvR2jGEzMEEp9TXgM+B+ABEZB1QB44HrgKdEJLLs8mlgKTDa/Fxnpi8GTiilRgGPAQ/3smwajUajOQd6ZRiUUpuUUiHzn9uBSCD7BmCNUsqvlPoCqAGmiUgpkKeUekcZI8O/A26MuWa1ebweuEq0eLxGo9Gknb4cY7gNiOhID8MwFBFqzbSgeXx6euSaQwBKqZCINAGDgOOn/0cishTD6wBoEZFPz7HMF8T7/SxF1yUz0XXJTHRdYESiEz0aBhHZAgyJc2qFUmqjmWcFEAKej1wW/xZ9tQAABCZJREFUJ79Kkp7smu6JSj0DPJOk2GeEiOxMtCQ829B1yUx0XTITXZfk9GgYlFJXJzsvIrcCfwtcpToXDtQC5THZyoAjZnpZnPTYa2pFxAbkA41nUAeNRqPR9CG9nZV0HbAMmK2Uaos59TJQZc40GokxyLxDKVUHNIvIdHP8YBGwMeaaW83jecCbSq9Q02g0mrTT2zGG3wBOYLM5TrxdKfU9pdReEVkH7MMIMd2tlAqb19wJ/BZwA6+ZH4CVwLMiUoPhKVT1smxnQq/DURmErktmouuSmei6JCHrZbc1Go1G07cMSK0kjUaj0Zw72jBoNBqNpgvnrWEQketMuY4aEVne3+U5W0TkoCktsltEdpppRSKyWUT2m9+F/V3OeIjIKhE5KiIfx6QlLHsieZVMIEFdHhCRw2bb7BaRWTHnMrIuIlIuIm+JSLWI7BWRfzLTs65dktQlG9vFJSI7RGSPWZcHzfTUtotS6rz7AFbgAHAR4AD2AOP6u1xnWYeDwAWnpf0bsNw8Xg483N/lTFD2mcAU4OOeyg6MM9vHCYw0283a33XooS4PAPfFyZuxdQFKgSnmcS6GxM24bGyXJHXJxnYRIMc8tgPvAtNT3S7nq8cwDahRSn2ulAoAazAkObKdWFmR1XTKjWQUSqm36b5GJVHZ48qrpKWgZ0CCuiQiY+uilKpTSr1vHjcD1RhqBFnXLknqkohMrotSSrWY/7SbH0WK2+V8NQxR+Q2TWGmObEEBm0RklykRAjBYGWtFML9L+q10Z0+ismdrW/2jqTq8KsbNz4q6mMrGkzF6p1ndLqfVBbKwXUTEKiK7gaPAZqVUytvlfDUMZyy/kcH8tVJqCvBt4G4RmdnfBUoR2dhWTwMXA5OAOuBRMz3j6yIiOcBLwA+UUqeSZY2Tlul1ycp2UUqFlVKTMJQiponIhCTZ+6Qu56thSCTZkTUopY6Y30eBDRju4lemgi3m99H+K+FZk6jsWddWSqmvzIe5A/hPOl35jK6LiNgxXqTPK6X+20zOynaJV5dsbZcISqmTwFaMrQpS2i7nq2F4DxgtIiNFxIGxyvrlfi7TGSMiXhHJjRwD1wAf01VW5FY65UaygURljyuv0g/lO2MiD6zJHIy2gQyuiylRsxKoVkr9MuZU1rVLorpkabsUi7kBmoi4gauBT0h1u/T3qHt/fYBZGLMVDmAoxfZ7mc6i7BdhzDzYA+yNlB9DpvyPwH7zu6i/y5qg/C9guPIRGfbFycoOrDDb6VPg2/1d/jOoy7PAR8CH5oNamul1Aa7ACDl8COw2P7OysV2S1CUb2+VrwAdmmT8GfmKmp7RdtCSGRqPRaLpwvoaSNBqNRpMAbRg0Go1G0wVtGDQajUbTBW0YNBqNRtMFbRg0Go1G0wVtGDQajUbTBW0YNBqNRtOF/we6UPlnXPJ1qQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "duration = 100 * 3\n",
    "periodicities = [10, 100]\n",
    "num_harmonics = [3, 2]\n",
    "std = np.array([2, 3])\n",
    "np.random.seed(8678309)\n",
    "\n",
    "terms = []\n",
    "for ix, _ in enumerate(periodicities):\n",
    "    s = simulate_seasonal_term(\n",
    "        periodicities[ix],\n",
    "        duration / periodicities[ix],\n",
    "        harmonics=num_harmonics[ix],\n",
    "        noise_std=std[ix])\n",
    "    terms.append(s)\n",
    "terms.append(np.ones_like(terms[0]) * 10.)\n",
    "series = pd.Series(np.sum(terms, axis=0))\n",
    "df = pd.DataFrame(data={'total': series,\n",
    "                        '10(3)': terms[0],\n",
    "                        '100(2)': terms[1],\n",
    "                        'level':terms[2]})\n",
    "h1, = plt.plot(df['total'])\n",
    "h2, = plt.plot(df['10(3)'])\n",
    "h3, = plt.plot(df['100(2)'])\n",
    "h4, = plt.plot(df['level'])\n",
    "plt.legend(['total','10(3)','100(2)', 'level'])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Unobserved components (frequency domain modeling)\n",
    "\n",
    "The next method is an unobserved components model, where the trend is modeled as a fixed intercept and the seasonal components are modeled using trigonometric functions with primary periodicities of 10 and 100, respectively, and number of harmonics 3 and 2, respectively.  Note that this is the correct, generating model. The process for the time series can be written as:\n",
    "\n",
    "$$\n",
    "\\begin{align}\n",
    "y_t & = \\mu_t + \\gamma^{(1)}_t + \\gamma^{(2)}_t + \\epsilon_t\\\\\n",
    "\\mu_{t+1} & = \\mu_t \\\\\n",
    "\\gamma^{(1)}_{t} &= \\sum_{j=1}^2 \\gamma^{(1)}_{j, t} \\\\\n",
    "\\gamma^{(2)}_{t} &= \\sum_{j=1}^3 \\gamma^{(2)}_{j, t}\\\\\n",
    "\\gamma^{(1)}_{j, t+1} &= \\gamma^{(1)}_{j, t}\\cos(\\lambda_j) + \\gamma^{*, (1)}_{j, t}\\sin(\\lambda_j) + \\omega^{(1)}_{j,t}, ~j = 1, 2, 3\\\\\n",
    "\\gamma^{*, (1)}_{j, t+1} &= -\\gamma^{(1)}_{j, t}\\sin(\\lambda_j) + \\gamma^{*, (1)}_{j, t}\\cos(\\lambda_j) + \\omega^{*, (1)}_{j, t}, ~j = 1, 2, 3\\\\\n",
    "\\gamma^{(2)}_{j, t+1} &= \\gamma^{(2)}_{j, t}\\cos(\\lambda_j) + \\gamma^{*, (2)}_{j, t}\\sin(\\lambda_j) + \\omega^{(2)}_{j,t}, ~j = 1, 2\\\\\n",
    "\\gamma^{*, (2)}_{j, t+1} &= -\\gamma^{(2)}_{j, t}\\sin(\\lambda_j) + \\gamma^{*, (2)}_{j, t}\\cos(\\lambda_j) + \\omega^{*, (2)}_{j, t}, ~j = 1, 2\\\\\n",
    "\\end{align}\n",
    "$$\n",
    "$$\n",
    "\n",
    "where $\\epsilon_t$ is white noise, $\\omega^{(1)}_{j,t}$ are i.i.d. $N(0, \\sigma^2_1)$, and  $\\omega^{(2)}_{j,t}$ are i.i.d. $N(0, \\sigma^2_2)$, where $\\sigma_1 = 2.$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "                                Unobserved Components Results                                 \n",
      "==============================================================================================\n",
      "Dep. Variable:                                      y   No. Observations:                  300\n",
      "Model:                                fixed intercept   Log Likelihood               -1145.631\n",
      "                    + stochastic freq_seasonal(10(3))   AIC                           2295.261\n",
      "                   + stochastic freq_seasonal(100(2))   BIC                           2302.594\n",
      "Date:                                Fri, 10 Jul 2020   HQIC                          2298.200\n",
      "Time:                                        05:46:36                                         \n",
      "Sample:                                             0                                         \n",
      "                                                - 300                                         \n",
      "Covariance Type:                                  opg                                         \n",
      "===============================================================================================\n",
      "                                  coef    std err          z      P>|z|      [0.025      0.975]\n",
      "-----------------------------------------------------------------------------------------------\n",
      "sigma2.freq_seasonal_10(3)      4.5942      0.565      8.126      0.000       3.486       5.702\n",
      "sigma2.freq_seasonal_100(2)     9.7904      2.483      3.942      0.000       4.923      14.658\n",
      "===================================================================================\n",
      "Ljung-Box (Q):                       34.17   Jarque-Bera (JB):                 0.08\n",
      "Prob(Q):                              0.73   Prob(JB):                         0.96\n",
      "Heteroskedasticity (H):               1.17   Skew:                             0.01\n",
      "Prob(H) (two-sided):                  0.45   Kurtosis:                         3.08\n",
      "===================================================================================\n",
      "\n",
      "Warnings:\n",
      "[1] Covariance matrix calculated using the outer product of gradients (complex-step).\n",
      "fixed intercept estimated as 4.053\n"
     ]
    },
    {
     "data": {
      "image/png": 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ApwWN1NC4AtAUnssEV7GbgDWGuqEVOx3f1bMD0uchtmg/t3a/usy5Rwd2p5XxBKGOTBRnHl/vtZecs7t96lKMRpVxedSbZJi54i3LcTUiCFO85YYJqBMTQbgB6kaaQAYocKrxXhyuYrLzCvCcx+KzYsUKQkJCuO+++wBVKX7rrbeYNm0aTqeTo0eP0rt3bxo3bsyLL76o9u1wcPPNN9OiRQtSU1OZO3cuABs3bqRr1660adOGXr16kZ2dDcB1113Hc889R9euXZkwYQJJSUkl/z9Op5N69erh9Xo5cOAAvXv3pk2bNlx77bXs3r0bgEOHDtGpUyfatWvHCy+88JuvbVXwer0czMym2K0qpH4UdFT+P28gAAE/cTXKfk41oyMQPo+qmAaXwfILHRdMdg0NjYtDdWxL16gG1m7fh9AZaBxXcSyd+vF1+Pc1Vm7odE+55xf8634ABv9rOr84k9iXkcXaPZn8Y0UOAaeNj+5oRs9OLS+I/Fcyb3/6BXWiI2haPw63LwAEGP3M02zdurVK/Trc6rKLNcSAo9hL49Q0nvnnBJoFl8bKY8eOHbRp06ZMWXh4OAkJCfh8PtavX096ejoWi4V27dpx8803k5GRQVxcHF9//TUABQUFeL1eRo4cyaJFi4iNjWXu3LmMHTuWadOmAWCz2Vi5ciUAmzZtYuXKlXTr1o2vvvqKXr16YTAYeOihh3jvvfdITk5m3bp1jBgxghUrVjBq1CiGDx/Ovffey9SpU6t0jX4rWbkF2DGz94SdhrESqegxyMqVx4Zx0fj9AXS6stdaCEGdSDNZhR5qhRk44ZQUOouJiQhFSkkgEECn03ZDamj82dAsPJeQdxeu5L5XZ3Iiz8baHQcBaNsovtI29/brSVytytNpdGoSB8C369KZs3Ib0udFGM2M/1zbxfV72X3wCG9s1fHkKhd5BXZ8ARABf7XsfFEAhFCXS4RABvwgFLJzK17mqmhL++nyHj16EBMTg9lsZsCAAfz00080b96c5cuXM3r0aFavXk1ERAR79uwhPT2dHj160LJlS8aPH09m5plUdrfffnuZ49NWoTlz5nD77bdjt9v5+eefGTRoEC1btuThhx8usRCtWbOGO+64A4B77ilfOa8qx/NspGecZOeRHKSUOE9vq1J0ZOapPjchhsqf54x6PWaTsdxzNSLDaF4vmppR4RAI4PYFCAQk24/ksiO7iB1Hcs5rjdPQ0Li80Cw8Fwm7w8n3G3aCJZpOTeKoGRbC68sPEgitSefn59C2tgGoTddWTao8Vq/2qby1aTPr9h7jgE1i8GURbfCSYYrneH4htaPDqz6hKxSHw8Gbn8zn12wPUx65lZnfrUPoLUhvMW4/BBQ9Rulj0qRJVR4r82Q++R6FaGOAfI9CpN6PzePjlCtA3QoUm2bNmvHFF1+UKSssLOTo0aPodLpz2gghaNSoERs3bmTp0qWMGTOGnj170r9/f5o1a8bateUrwVbrGWfrvn37MmbMGPLz89m4cSPXX389DoeDyMhItmzZUm77C7kV2u50cdLhB8VAQAhsdic+qaD4PQSEDrei+uBEh1vO01PlnJ6DkD58Emx2B+gMKH43fsXIgexTpNSrUeX5aGhoXBw0C89FoKDIQepTsxj1zQlGfbGLgW8sYc3WvQRCayIKs/FF1OOXXAOi8DjxtWKqPF6TpDik08bOE06KLbEkhUmGdW+KMITw8szvqmFGVyY/bdlN0ydnMS2zBtv9cTz2n4Ws3J2N9HloZbEhFT0IhUhr9aQcOL1l3eYKOs+GWQgzCKTOiK2ofJ+R7t2743Q6mTFjBgB+v58nn3ySoUOHYrFYWLZsGfn5+bhcLhYuXEjnzp3JysrCYrFw991389RTT7Fp0yYaN25MTk5OicLj9XrZsWNHuWOGhobSvn17Ro0aRZ8+fdDpdISHh1O/fn0+//xzQLUwnV7i69y5M3PmzAFg5syZ1XKtSpNx0gZCR50w9Xktr9CFVPSYdGpwRwDh8xAa3KFVVfQCAkKHzV4MQINakRilGy96PFdIgEINjb8CmsJzEXhx2mKIqEMnywnCjq3niNvMuHnqjeb5Xg2RMgDWGNrFVt9OkFBfAXnWJITOwDWN6zCk7/VQeJxvd+VW2xhXGs9MWwahNbi3mYnQoiNsc4RyxG0htPgk91wXDAAeCBAbFVYt453eMh3QGSHgJ8wSQlxMOEg4YStf4RFCsGDBAj7//HOSk5Np1KgRISEhvPTSSwBcc8013HPPPbRs2ZLbbruNtm3bsn37dtq3b0/Lli2ZMGECzz//PEajkfnz5zN69GhatGhBy5Yt+fnnnyuU9fbbb+ezzz4rs9Q1c+ZMPv74Y1q0aEGzZs1YtGgRAJMnT2bq1Km0a9eOgoLqDY9gK7Lj15sxKz5iI8PA78EZUEAILCY91mD+OXM12q6NenWbusMrwe/FEmIiNtwKAo7nF1bfQBoaGheUKicPvdT8GZKHJg97D58+hP2T72X95u3cPms/ijEEUXicQ+88QKPh7+KJSGDuXcl0aN6oWsbs9cy77FESCHicfD+qM8mJcQz4x0dsdNdi3l3JdEir+tLZlcSuAxn0emcjiZxk9ZvDmDj7f0zZqloLOllz+ey5u1mxdiMJCYk0TqhVbeNuO5IPioJVeGhYV82xtfPISXzoaRZfsfPyX5VdR07iFQYa1wrFZDSw9+gJioVqKWsYE4IiBPuP20iKDSfMWj0WnqxcG7mqcQejdNOkXq2S3Gg6AjRLvPxzo+3atYuUlJQyZVryUI2/Gtqv6QVmb8YxvJH1aFdD3Q3SqW0LuodmUq9gO6/fploNnuqRzDXmrGpTdgDGDLqGRp59zL43leRE1Yl51IBrEULh/SUVP8n/VZm6cDWKwcQz/TsB8PjtPbmtnos7rwow9fFB6HQ66kRauKpu5Q7jv5faVoUapkCJsgMQHqIHRaFIi/B7Dj4p0AW8mIyqn05CbCThwk18mA6rWU310TypVrUpOwCh5jOOzXWi1CCKQgj0IoBfaD+hGhp/FjSn5QvMqs17AGjfqE5J2Sf/GlWmzkMDbuChAdU77nXtmnNdu+Zlyrq0aATTfmWTFlPkHPYcL0RKK706NAPUIIFvPjKwTB2dTnfOFuaqUjPm3DAE4ZYQ8j0eCp3FRJaK1PxXJxAIbjfHW1IWEmIiqW71WdzKI8xixmKzUyPcSkTomc/DqBP4pB6f349e26auoXHZc9k9ngghegsh9ggh9gshnr0UMmzeuh2Px1MtfW3afwyAzs2vqpb+qoIQgtqigFOGGn8opcHlhM8f4EhO9flPZDsC6F35ZVIMXCpCLWaQEpfnz/0ZVTeO4uJz0npcDIQQXFW35jnK52k57M7iiyqPhobGH+OyUniEEDpgKnAj0BS4QwjR9GLK8NK7n3Lrf/fS6pG3yco5VWnd5/8zk+b3v8ziH9dXWGff8UKk30vblAbVLeofomODaIQ5nG/WVi1o3oVi6pyvWbW+/K3Op7E53LR/egbXvrGSsR8sOG+fXy5awgezvqTQ7qywjl2EEqm4f7e8FwJFEYiAF0/g8s1yXVDkICfvVKURvKWUHDqez64jJzmec/5Eqbm2InZlHGf/sZySTPJ5tiKcLlWhOJ3WwxJSfuyci401RPUdchRXz8ORhobGheWyUniA9sB+KeVBKaUHmAPcerEGP5xxlKkbi1AIYI9K5prxX7NhX2a5dden72PGfj1FNdMY+c0Juj83Hb8/wCm7i/smfsmBrDxAtRzoXPkY9JeHyfuu7m2RMsD05ZUrFZeCD75czmubA9w99wCdh7/G4WPHy603YtI88gwxiIJsPtuv495/f1Rhnwu//5nHvsvnpW0mUkfP460Zao6x7XsO8P6cr5BScqrQjrRGUy/CUGE/FxujAlLRq8s4l9nGgsPZeWQUeMl2CXYcPoG7Amvooew8inwKXmHgZLHgyPHydwhKKTmQnU+W3Y9XMeGUBo6cVJWpY3Y/+/OKcXu8uNzBtB7BTOeXmtCgHKfTjWhoaFzeXG4KT13gaKn3mcGyMgghHhJCbBBCbMjJyfnDg0kpyco7s2123g+/YqiRyKhravP3FuBTjDzx/jfltn3y4+8QOgOv9YilVtE+DgRi+XjJKp59fyE/nDTR/eWv2XkwE7uwEHWZWA4A2qUmYzl1kA0FFro8O50Z36671CIB4PH6ePn7IwinjfqGIjLDUxj4shrjZdhrMxj4wgcldXcedyAKT7DptbuIcmWxylGH2f9bU26/f1+wB53BwG1JfnQ6HZPW2fB6fdw7aQkvbYZ+T01k9ZY9CEVH0/joizLX30KoSU0yuu9YDtuPnrpsHJjtzmIKfWqQvzC9RBrNZOepS4tZuQUUe87419h9AsXvIaVOOIr0YfOIcpW3/EIHDr+CzucipU4Ywu/F5Q1QYD8z54PH89W0HgF/icPypcag10HAh9cvyS2wk3kei7CGhsal5XJTeMqz4Z/zCyml/EBK2VZK2TY29o/vmnls8lw6vbqSKfPUYHwb9qkWhQHXNGfUXX2p4c7miC8ct8fLgm9/YM2vm0vaZruNWJzH+b/u7fnmpb8hPS4+XLaNHw8UIJ02sMYwbvrXSGsN4iMuDxP8aYZ0SkCEhHGEWF5ZfHlYelZv2Y0Mq8VNSQorXxlKki+THFNdDh87wTfHDGzw1mX8J4sBsGEhUjiJDrey6LnbkAE/n/64DYfbyx2Tv2FPlnrjOZB5gkBoTa6OcvDmsL4MbmpBhMUyad4y8sx1IeBniy6ZRWu2A9AhJfGSzf9sasdEQMCPWxhBUcgpUB3NMzMzufXWW0lOTqZhw4aMGjWq2vzNKuJ0jB+AkzY7CEFSbDhJtSIh4Mfp8WN3FZNbLDlwXL32xR4vKDosBoFBryPcpANFR6HDhdvj4UTuGeWgyKk+EHRITcag12NUJAFFjy2o5ImAFy86fCgo8vdbU6677jouVOgKnQzgRUd2QTGNkurh9fnIyspi4MCBlbabNGkSTueZJdabbroJm812QWTU0NBQudwUnkygXqn38UDWhRps6W4bQtHxxppcMrJPsj+/GIqLSIiNAODmlvUQIaG8NfsbRi3JZPAnW1i/bRdujxevpQZ1gz6MMZHhJCr5nDDGURxWl9YRLoT9JL+cCkXo9FzT7PK5kQI8eXcfUou3E5G/G0doHFv2HL7UIrFm+wEArmmWBMB916ciDCYGvTwXYQ5Hup18vDGfE/kFYI2hQbTqP5FYJxazI5tdBXremLuCtdkB7pusKkbL1qcD0L6RaiR8+o4eBIrtTF2Xh2I009aSj1B0LM/SE3A76dbmorqLVYpOp8OiC/rHyABOn7q0NWDAAPr168e+ffvYu3cvdrudsWPHXlBZSis8p60soZYQdWs2fnxCT15QIfMrRnJtRRQGrTPWYK6qCKu6/FNgd5FxwsaJYkHOKdUyVOzzQylfoNAQAwiFIo9UAzIaFFD0SEWPxXBxf7J8vsoVrEiLARSdGoUbOHmqiLi4OObPn19pu7MVnqVLlxIZWXHiYA0NjapzuSk8vwLJQoj6QggjMBhYfCEGWrJyHf7IekQ5M1HMEUxf+jP5ASsRgcKSHDqPDboB6fPwzsYiFGs0ijWaB975jtVb9yD0RprFR5X09+aDN2IWXpCSxwdcy1UWD4o1Etx2Hh3Q9UJM4Q9jMBhYMulZJj3YCyEUXp+3ouTcpvTd7D6YcdFl2p6hLk1e31ZVOu7p3RnhyCUntCHS46KV9RQyNJZPvlaXrlo3rF3StmO8GRkRx39/VZNXZoka/G/9LtbtUVdHuwf7jI4Ip7k4igwJJ1Bs58Mn/w/pcSKsUdQJ5BAeWrXcS9VN/dox1LLqCMFLQDHwv++WERISwn333QeoStFbb73FtGnTcDqdTJ8+nQEDBtC7d2+Sk5N55plnSvr67rvv6NSpE61bt2bQoEHY7fZzxsvOzqZLly60bNmS1NRUVq9ezbPPPovL5aJly5bcdddd+KTg6y/nlkRuHj/2afwSCjySjo3jeeNfY+lybWf63dqH/LxcwkPVeDjhVjMEAjg8foY9MITBN11Hpw7tef/99/EGKLHcjB07lhu7d+Xuvj3Iyz+lKlTFdv7+0L3cefP1DDzgw3MAACAASURBVLylN2vWqP8D69ev5+qrr6ZVq1ZcffXV7NmjhoBwuVwMHjyYtLQ0br/9dlyu8pcDk5KSGD16NO3bt6d9+/bs378fgKFDh/L3v/+dbt26MXr0aA4cOEDv3r1p06YN1157Lbt37wbg0KFDDOx7E3fe3I3/vD4egAKXl8OHD5OaqsbY8vv9PPXUUzRv3py0tDTefvttpkyZQlZWFt26daNbt24lsuTmqj5OEydOJDU1ldTU1JKcbYcPHyYlJYUHH3yQZs2a0aNHjxKFacqUKTRt2pS0tDQGDx78+//RNDT+Ilz6PbilkFL6hBCPAt8COmCalLL8BD9VZNrybUAcHz9yI/3eX8+y9BPI8Lokmc/sJomNCqd/goeFWZHoCjKJMwfICKnN9xv3ACFc27x+Sd12jeux+43BFLl9hIcY2LrvKBM3uUm12jFfJj4HZ9OtXSr891d2FKk/nH2enMh20QDhyGHv5KEYL6Dc2Xk2Hv3PIsbfewMp9etyON+NJJ/aNVQlUqdT+OzBq3nkw+9pGG2kR1p9tvzqYda6DAhNoHubM5Gin7urBz++vpyANZa4gh0cC2vC+0vWcrLAgVTMpDY8YzRcMvFJ3pu9CL8MITo8lBh/HvlY+L+ODX+X/C9+tYOdWdWbVqBpXDj/vKVZyXudTqFWVBgi4Oe4CzZu2kKbNm3IPJkHUlI7JpLw8HASEhJKbtZbtmxh8+bNmEwmGjduzMiRIzGbzYwfP57ly5djtVp59dVXmThxIv/4xz/KjD9r1iy6db+BZ8eMwahTcDqdJDdtzttvv83mzepy7qIffuG7JQtZs2YNBoOBBx96mKVfzuOWQXfgcjpo2qwZT48dxwdT3uC9ia/QdfqHgLq1Wyd9eIWOF998h4jwUIo9Pobe2p2Ujt2pGR2Ow+GgY8eOTJgwgeGPjmLBrE94YexzjBrxOHc/MIzW7ToQIe307t2bXbt20aRJE1atWoVer2f58uU899xzfPHFF7z77rtYLBa2bdvGtm3baN26dYXXPDw8nPXr1zNjxgwef/xxlixZAsDevXtZvnw5Op2O7t27895775GcnMy6desYMWIEK1asYNSoUQwfPpxeN/flww8/ACQ+dCV+Srn5Nt7/8EMOHDzI5s2b0ev15OfnEx0dzcSJE/nhhx+oUaNs8tGNGzfyySefsG7dOqSUdOjQga5duxIVFcW+ffuYPXs2/37ldYYMvY8pH/yXx4Y/wCuvvMKhQ4cwmUzaspiGRiVcVgoPgJRyKbD0Qo/z3tP38PWve2ndOAGzfSFHw+oidAZaJpX1CZr02O1Evjub9s1asXxrBkePWfh6+2GkJZ4e7csG9hNCEB6iKgnDBnRj05Ev+Odd/S70VKpEJE5sWPH7/Wzz1kJRiiEijtdmLOb5v91WLWM8OfULvtp1ijomL33bJPHknTfywkdfsdFVg16TV/O/kVeT7zcSSlGZdp3TktnydjIAJ/JO8fK61RRY48FVSIfU5JJ6jRLq8OWIq3nq/cW888wd3PjqUvY6we3TYdbZUEqlZxBCMPzOM5/JfV1T+PCnDIYPuKNa5nohCLOaOe5y4fH58Pr85HvUHX+FmbmkJKppDk5bJbt3705EhLok27RpUzIyMrDZbOzcuZPOnTsD4PF46NSpU5kxpJTUTLiKyU8/wckCJ31u7MXNPbpx6EgeEsHBrBziakSy7ufV7EzfRrt27QDVmhIZFY3wuVEUhb639sOn6Lmx/yD+/tDQMlnTo6xGcoth1ifvs/LbJfglZGVmciTjEAm1WmM0GunTpw8A1117NcuWLSM2Mozly5ezZdt2BKqjcGFhIUVFRRQUFDBkyBD27duHEAKvV3WYXrVqFY899hgAaWlppKWlVXht77jjjpK/TzzxREn5oEFqdG273c7PP//MoEGDSs653arP0Zo1a/jiiy8wGAw8NmIYL//7RVB0uF0evD4/WQ74YeVqBt15L26vD71eT3R05Y7xP/30E/379y/JVj9gwABWr15N3759qV+/Po0aN2F/joOU1OZkZh7lZF4BaWlp3HXXXfTr149+/S7v3xsNjUvJZafwXCxqhodwX3f1h7BRJGxXQqAoh5G3DTqn7rjh6o9iaFg4X849QEFoArqCY0RUEgXXqNcx/an/uzDCVyOJEQZO+WqweNUGFEskPWsU8N3RAv67LoexD8gyN6w/QkZ2LvP3+5EihEMygre3BWgUv4F1R4ogLBolJIw3563AZ46hjnKiwn5qxUShK8wmEBlPpyh7GSUGoHVKQ1ZMUm9YdYxujunjkIYAiYbKn3hHDujKyD8Q5bq0JeZCE2IyQsBOUsNGfLv0Kx4C9NKLTx/CvsNHOHr0KA0bNmTjxo2YTGcyuet0Onw+H1JKevTowezZs8v0u27dOh5++GEAHn9qNK2vu5HPPl/A998v5/GRj5Dz7DO07q5GhXAEDBTYXUgJtw++kymTJpYrq9VkoMAvQOjRKYKjR49yyy23ADBs2DCiatZh/eofWL/uFw6e8vLAoD643W6sIUYMBkPJ/9tp2QECgQAbf12P2Vw2XcTIkSPp1q0bCxYs4PDhw1x33XUl537r/23peqWPTyscgUCAyMhItmwp37m/zDjBY3uxh4CUQACjIhGKnszcQhrXO/92+spCEJhMJjJzC0ExEhtmxm4vIqF2DF9//TWrVq1i8eLF/Pvf/2bHjh3o9X/Zn3YNjQq53Hx4LgkDOzTEdXgzT3WwUiOiYiXmmhaNkMVFCKFwT+vqzal0qWiZFIsQClO+Unex9OvUlC51JN6Yq/j065VV7n/k1IVgCGHKgGR+fLIL0udh/PxfKAypRaLnMNJ5ihVHfQiDiZS4iEr7amgpJmDLYurjt1dar3ViNMJoRjFZuadb80rr/hkQQiCkn3ZXd8HhcPHV57NoHBeD3+tmzHPPM2TIECyWiv2POnbsyJo1a0qWvZxOJ3v37qVDhw5s2bKFLVu20KZLT7IyDtKhRQoP3n8f/Qffw8o1a0EIDHo9Xp+PfIebDp27sHTJYk6ePAlAfn4+GRmqz1cgEGDFd2oYh6ULP6dLl2upV69eyRjDhg0jRAdxtWsSGhrK4b072bZlI0hJVCUPDz179uQ///lPyfvTykdBQQF166oO6dOnTy8536VLF2bOnAlAeno627Ztq7DvuXPnlvw92+oF6pJX/fr1+fxzNUSClJKtW9WgnZ07d2bOnDmAmjn+tOpT7PYiEeiln759buaLzz7C4RO43B7y89Ul87CwMIqKis4Zr0uXLixcuBCn04nD4WDBggVce+21wbGhGD36gAeT0YDJqDqEHz16lG7duvHaa69hs9nK9c/S0NDQFB4A7h1wE8vH3sqj955r3SmNoig0MBYR7srin3/rf5Gku7B0bakuDR1U6iA9Lnp0aM4bD9+CdDt445uqu0/ty/diKMqiX7cONKhbi3hfFics9RGGEHq3TKS2KECG10H6vIwaeH2lfX310sNsmjCA6MjwSuvd1EF1UjYWZjKkd8cqz+FyQC8kUtEx8f3pLPt6IU2aNKZft44YQ8w8/nTlGVhiY2OZPn06d9xxB2lpaXTs2LHE8RbA7fUhFR3bf11Dm9at6dPzepYvXcygocMAGHr//QzqeQ1Pj3qEhg0bMn78eHr27ElaWho9evQgO1t1FrdarRzYt5fBN3Zlw88r+deLL54jS+/evfH5fKSlpfHOxFdJa9UWA370leQomzJlChs2bCAtLY2mTZvy3nvvAfDMM88wZswYOnfujN9/Jg3H8OHDsdvtpKWl8dprr9G+ffsK+3a73XTo0IHJkyfz1ltvlVtn5syZfPzxx7Ro0YJmzZqxaNEiACZPnszUqVNp164dBQXBeF5S4gymBDEbFP72t7/RsEESg3pdS5vWrZk1axYADz30EDfeeGOJ0/JpWrduzdChQ2nfvj0dOnTgb3/7G61atQLAH/CDUIgNO2Mp8vv93H333TRv3pxWrVrxxBNPaLu9NDQqQFxuUVx/L23btpUXKsZGRZT2mfiz4/H6aPTCtwCEFh0hfepwAHqPfpddsi4//b0z9WrHlNvW7fNjOk8E6cTHPqM2NtZNeRSA9IPHGPXuEgIywOIXh/LCR4tYmB1GjOMwG99+pFrm5PX6uO7xyQy7sQ339LmuWvoE2LVrFykpKdXW3+/hwLEcHFL1D7MIL1fVjcXvD7DjmLqTqWlCzfP0UDF5BXaOFfmIDZHUCTqNpx8+TkAfAn4vaYmxbDuSC4oeMx6S48sfKzQ0FLvdjsvtxaBXzptQ8+iJfE55FeqG6YmJCP3D8v9RkpKS2LBhwzmOw1Vh+5Hcki3q8eEGosOt6ueUVYBZ+EiOL98yLKUkt6AIRQhiIsLKrbP/WA5OaSCldiiG37lkVd7/rhBio5Sy7e/qSEPjT4xm4fkDXCnKDoDRoOdq83GSA0f49LEbS8r/r3MKQtHx/uJV5babs2IjjZ9dzF3jp1fod5CdewphiSIx6swTaWqDunz/+sP88MZwwqxmHup7LUrRCZ7s06ra5mQw6Fkz9clqVXYuNWbjmRtczeCyq06noJN+fJV8jQsdTvZnniDnVEGFdZzBXFCnc0MBNIqLJs4quKqWak0zoMbJqRF+/q37ZpPhN2UPrxsbSXy44ZIoOxcKJRgnVQT8RAbDHOh0CiLgw+Mv/3sipWR3Zi7Z9gDHCn1knswvKS8dB8jjl+D3/W5lR0NDQ0VTeDSY9c8HWPbacFo1Tiopu7PX1QSK7SzfocZ9dDjPxDI5kV/Is4v2IoXCT0Ux9Bz1Bs5idefK6p9/YXu6uhS2ctMuAFITK/Z3alq/Lgen3s+dva6u7mldUUSGWSDgo0YIZeIFhegFKHrcpVI6nKbY7eFwrgMnJrIdkr1HTyClJBAIcDjrZEmbYq8fpCzJDQVgNBqpERWBJagE1Y60YsZ7Tsbw0vxe3xFFUYgOr7i/C83hw4er1boDEBZMbFo/NgxFOfNgpBMSv1B/bk+csuPxnVmCO5ZzCq8wYJJuRMBHfrEaZPLI8Vx2ZOZjKwoGdURBhx8NDY0/hqbwaJRLiMlIrC+HbKK5Y9yHpDy7gDVbVL+PGd+sAXM4f0uRxJPPPktT7nnpU7xeL3dO28RN7/zKlDnf8Gsw8F+HpvUrG0rjN2AJMZGWUIO4GmX9M8LM6g32VJGTfZkn2Zt5suTc0Rwb6AzUtuowSC/FwkR+gZ0cWxGFASP7s08RkBJPQELAd87Ot9JEhVtJjo+9oqybF4L42HCa1gkn1Fw2nYwpqJjmFzo44fBxMPtMvK98VwDh95JcN5ZwkwKKTs1Z5g4g9EaO2Nx4fX6koseg066/hsYfRVN4NCpk2A1NEeZw1hbHoVgiGDXtBwA27FedVIfc1Jk1rw7BbDvExgILM79Zja5GIkpoNJNXHWNP1ilkwE/nFo0v5TSuaE5bXAqcblzSQLE04nKrS1RuPwi/j5pRYTSopSpK+Y5iCoO5q/w6I9m5BUHLwZ/bl+9yQRGiXAdsSzCIZ7ZNtdZ40FPs9uDx+kCnx6JXLV4RwcjUp4qcSMUAQUfl7GCSY7Ph/EuFGhoa5aMpPBoV8mC/66lVnIEM+IkuOkiuJYF1Ow5wINeFdOSRUFtdqurfPAbMEUz47iBSBmggs/CF1WKvTaI48wk1m84zksYfxWjQI/weNcmoECAouTkGhIJeqL43JqMB4fdQ7INiv0D4PRAIUFjsBaFHu49eWCLDLCDVXGOqEiPIyiugwK5GObcGA5ZGWM0gAxQU+0BRCNWrn1+BW/2rfZc0NP44msKjUSkrX3uQeUNSea6/uplj0U9byfeHEB44E0PkmXv64M87gje0DmZ7Fv/XoSFCKHgiErjK6r5Uov9lSIi2gpQIvxfh9+DwovrnKHqM+jNfcbMepM6A1Bkw6dT8VV5hAAHhZy3BaFQvZpORUL3qf2PRBSDgw+WV2IMO4xFW1bKjpuDwI/WqYhMbGQZ+r7rzy++r1IdKQ0OjcjSFR6NSQowGOjRrwI2dWyF9bn7eexy/tQYJ4Wd2ikSGh/Ht0z1JExmM7t2EwT07In2qovNE34pjoGhUDxFhVhIijdSPDSVEJ5CKAVswP5rVdCYfWu2oMKS3GIAoq0l1eAaQkhqR5W+F1qg+kmpFE6H3Uy82Ej0B/EKh2Ktmnw8xnVE460RZEdKPEvARajaVWOlClIDmQ6WhUQW0/Y0avwmrOQSjM4eDITVRdHrSEsvubmnaqCGLXx5R8j7UfgyvVLip880XW9S/JKef/C2OYlxu1VcHxURYqZ1XoRYzzRNNFBcXYzabCchCnE6JLuD9TdvINaqGoggSgzGtTHoFX0CPN+BHkb4yikx0mIXosDM78axGPQU+qBmpWXc0NKqCpvBo/GbizX4OGcxIn4d7e1UewfjHCXcH8wld/gwdOpT4+HjGjx//u9ptz6w4ts0foXl85ak1TjN58mQ+/PBDpJQ8+OCDPP7444AaSM9qDcWPQKfTMfvrFTiKCujVYwA2m43x48fTr18/LBYLt956K1PefhuwEmE2VD5gFZgyZQrvvvsurVu35tChQ/z888/n1Bk3bhyhoaE89dRTF0yOirj66qvLlek0NpuNWbNmMWLEiArr/BFCQww4nBIUHaG6oH9OMHDj2dSrGUWE3aktZ2loVBFtSUvjN5NaT8303D6sgJT6dSutGxsTRa0alWeGroikpCSWL1/+h9pe6aSnp/Phhx+yfv16tm7dypIlS9i3b1/J+R9//IF5/1vJ7KU/YsLPnDlzGDJkCGvXruX1118H4KuvvqJ169YkJiSQlhBDfM2ocseaPn0611xzTZXkfeedd1i6dCkzZ86sVLG4VJxPJpvNxjvvvPO7+jwd66gyTgclJOAjvmbl3xNFUYgMv3KCM2poXCqqpPAIIV4XQuwWQmwTQiwQQkSWOjdGCLFfCLFHCNGrVHkbIcT24LkpImjLFUKYhBBzg+XrhBBJVZFNo/p5ZdgAhjU3MPv5ey+1KH9Zdu3aRceOHbFYLOj1erp27cqCBQtKzgshUAKqc2ztqFAMBgMulwu3242iKPh8PiZNmsTTTz9d6TgzZszghRdeYPPmzdxzzz0ATJw4kdTUVFJTU5k0aVJJ3cOHD5OSksKDDz5Is2bN6NmzJy6Xi2HDhnHw4EH69u3LW2+9RWjomZv2hAkTaNy4MTfccAN79uwpM/Znn31G+/btadmyJQ8//DB+v7/CMU7LmpaWRosWLUpkLa+P8jgtU0X9P/vssxw4cICWLVuWXLPK5BsxYgStW7fmgQceKKMojRs3jjfffBOAfv36cXWnjgy4vgP/+/xTbTlRQ+NiIaX8wy+gJ6APHr8KvBo8bgpsBUxAfeAAoAueWw90AgTwDXBjsHwE8F7weDAw97fI0KZNG6lxZZGYmCiXLVt2Trnf75cvv/yybNCggYyOjpaDBg2SeXl5Ukope/XqJd9+++0y9dPS0uQXX3whpZRy165d8oYbbpBRUVGyUaNGcu7cuSX1hgwZIseOHVuhPB988IFs0qSJtFgsMiUlRW7cuFFKKeXCFetk246dZVh4uGzYqImc/PEsue2oTW47apN9B94h/++eB2Tn626QZotVtmzbQa7YuEfe9cAwGRYRIZMaJsu536wsqR8XX0++9NJLMiUlRUZGRsqhQ4dKl8tVRoaGDRvK8PBwabVa5fbt26XD4ZAdO3aUgHz33XelXq+XOp1ORsfEyBdffkNKKaXNZpPNmzeXISEhMjQ0VDZp0kS+8cYbJf2ebnvVVVfJyMhIOWLECLl9+3aZmJgoTSaTVBRFWq1WGRoaKlNTU6XdbpdFRUWyadOmctOmTVJKKQ8dOiR1Op3cvHmzlFLKQYMGyU8//bTks8zJyZFSSmm1WqWUUm7YsEGmpqZKh8MhCwoKZMOGDeXrr78upZRy586dsk+fPtLj8UgppRw+fLj873//W+EY6enpslGjRiVj5OXlVdhHeZyWqaL+Dx06JJs1a1ZSvzL5hBBy7dq1UkopN23aJLt06VLSLiUlRWZkZJTIKKWUTqdTNmvWTObm5paR5UKwc+fOc8qADbIKv//aS3v92V5VsvBIKb+TUp5O9vILEB88vhWYI6V0SykPAfuB9kKIOkC4lHKtlFICM4B+pdr8N3g8H+gutC0JGqWYMmUKCxcuZOXKlWRlZREVFcUjj6gJR++8805mz55dUnfnzp1kZGRw880343A46NGjB3feeScnT55k9uzZjBgxgh07zp8N/vPPP2fcuHHMmDGDX3/9lcWLFxMTE4PX62XkfYPp1OV6fty8n2f/9SpjHnuIQwfOLC99t2QBI59+nlVbD2AwGrm7Xw9SUluwautBetx0K2/8a2yZsWbOnMm3337LgQMH2Lt3b4lP0YoVKxgzZgzz5s3j5MmTdOjQgY4dO9K7d29atGgBwJIlS9i2bRsHDx5EANM/mMqqVav44YcfcDqdbNq0iYMHD+L1epk3bx4PPvggAwcOLGn766+/snXrVubNm8fUqVO56667eO+99+jUqRN2u53x48fTv39/rFYroaGhDBgwgNWrV5fIXr9+fVq2bAlAmzZtOHz4cIXXdPXq1fTv3x+LxUJ4eDh9+/YtOff999+zceNG2rVrR8uWLfn+++85ePBghWOsWLGCgQMHlqSIiI6OrrSPyvgtc6is78TERDp2VH3bWrVqxcmTJ8nKymLr1q1ERUWRkJAAqP/HLVq0oGPHjhw9erTMkqSGhsaFozp9eO5HtdgA1AWOljqXGSyrGzw+u7xMm6ASVQCUm6ZbCPGQEGKDEGJDTk5OtU1A4/Lm/fffZ8KECcTHx2MymRg3bhzz58/H5/PRv39/tmzZQkZGBqAqDwMGDMBkMrFkyRKSkpK477770Ov1tG7dmttuu4358+efd8yPPvqIZ555hnbt2iGE4KqrriIxMZFffvkFp9PBA488gcFopEPnrnTp3otvFp3p8/refWia1hJTSAjde/fBZAqh78A70Ol09LqlP7t3bCsz1qOPPkq9evWIjo5m7NixJQrczJkzuf/++2ndujUmk4lFixbhdruZMWMG0dGq/8ezzz5LSkoKCQkJXH/99TRo0ID169fz/vvvM2bMGFJSUnjppZf48MMP2bx5M0lJSUybNq2kbWRkJAkJCXTr1o3MzMxztj+rzycVYzKdCYin0+nKJL0sj4qeZaSUDBkyhC1btrBlyxb27NnDuHHjKhxDSlmurBX1UdU5VNa31VrWqXjgwIHMnz+fuXPnMnjwYAB+/PFHli9fztq1a9m6dSutWrWiuLj4vLJpaGhUnfPu0hJCLAdql3NqrJRyUbDOWMAHzDzdrJz6spLyytqcWyjlB8AHwbFzhBAZpU7XAHLLa/cn5kqb0/nm07xHjx6HgaKzylvdcMMNUPb/QjEYDNsBL9AgKSnJCRwHUoGMTz75pAioBdQVQpT2JBVA3rhx444ASYBnwoQJWeXI0uy7777LfPzxxwuWLVvW3O/3+wDWrl2ri4iKMR44dNANEPAHdCaLRezds0vsO7DfW1BYYIiJrSn3HdjvAzhVUKAzW6y6fQf2ewCyT54QDrvDtO/A/mIAj9dr8vl8nvT0dD+A2+0Wx44dM6enpzt3795t6tKliz89Pd0HkJeXR0REhPnLL7/0zJo1ywiI48ePu3755RcZ3Olj3L59u27AgAGePXv2GEeOHCkee+wxPB4PH330EVJK9u3b5925c6cXsBQUFLjS09MlgMvlMhqNRj799FPd4MGD/Xa7Xfnpp5+K69Spo0ydOtV0yy23uKSUzJo1y/zyyy+709PTA5mZmcLlcoWkp6e7ALKysvROp1Okp6d7PR6PeefOna7o6GgCgYAlPT3dWbovn8/H/PnzzQMHDvSmp6f76tWrJ15//fWQ3r17u2JiYrDZbDgcDiGlpLwxWrRo4XvzzTdDevXq5YqKisJms1FRH3Xr1pV+v1+v0+lKNJnTMlU0h6NHj3rz8vLMp8t/q3wArVu3FuPGjTPZbDbxySefFKenp8stW7boFEXRHzx40H3gwAGxdu1a84EDB4pr1KgROC1LJd+Lcjl7TuVx/PhxfdOmTbefVZz4e8fS0Pgzc16FR0p5Q2XnhRBDgD7/z955h8dVnH37nu2qlizJtmzhXrGMbWwwpprQXTC9dwiEEiCQ5IWXkPCGHvioppcQAqaEEkPAYEwMmODecC9yUy+rtr2d+f4456xW0q5kCEayPfd1nUu758yZdlY7v32eZ2aAE2TLz8Ay4KCEZEVAhXG+KMn5xHvKhBA2oAdQTydIKVttxS2EWC6lnNjZffsS+1ubOmuPEGIncKOUcn6b85uBq6SU/0lx35nAn4BfA+8Do6SUmhDiQuO+k1Lc9xpQJqX8Q5JrnwOfSimfXLNmzc7i4uI6gLKysswmd82QmUePW2+1Wlm3bt2omLchOHbEsNBZx02oePMp18B+PbPCZx03oQJg54qv81c6bXlnHTdhM8C6dU6nEBSfddyE9QC/tlrG+P3+6uLi4lqADRs2ZBcUFPQvLi7e2K9fvwENDQ2x4uLiMoBx48aNcLvdYtasWfLJJ5/cesYZZwx3OBy7L7/88v4AFRUVYtSoUd4bbrhhy+zZs4f97ne/c3/88cc5Dz/8cPmYMWNC5eXltunTpw+95JJLrAADBgwoKS4uDgE4HI6B/fr1C0+ZMiV07733DvB4PPLxxx8PvP/++zs3btzY+6KLLsoHuPzyy8vOO++8GgC73e6wWCzDiouLNwJkZmb2BqzFxcUVQogxw4YN21pYWBgFxhcXF28sLi5m5cqVfc4555z8fv36hSZNmlSfmZkZKC4uri4uLqa2tjb3uuuuK9Q0DbvdLp966qldRUVFkWRlnHnmmRVlZWV5V111VR+LxSKLi4v977///s5keRQXF/vWrVs3yszDYHxxcfHGVG048ACxRQAAIABJREFU5phjKiZOnDjozDPPTP/FL37R9MILL5TtSf0AiouL+Z//+Z+D+/TpE/3FL36xBWDIkCHigw8+GHrWWWfZhwwZEhw7dmysd+/eFcXFxR6zLsk+ox2RpE3tiMVi+fvTd4hC8WMQnZmqO7xZiFOBx4DjpJS1CedHA7OBw4G+wJfAMCllTAixDH1AWgJ8CjwtpfxUCHEjMEZK+SshxAXAWVLK835EnfYrcQD7X5v2UPBcDyxIOB1F/9zMBC6XUu4SQhQARyZYGp3o1p3lwDop5W+M81nAOuAPwNtGfuMAr5RyYyeC51z0z/gZq1atet9ms3kcDofs379/ZNiwYaMvvfTSuj/96U/Vb7zxxsE333yz49tvv904fvz44Nlnnz2wX79+4aeeeqoC4LHHHst/++2385YuXWoInnXOcePGFUej0RUA/fr1G5ORkRGbO3fu1szMTG3q1KlDJ0+e7J01a1b5nDlzsq644orBn3zyyZbx48cHb7jhhqLvv/8+fcWKFZuNOk5Yu3btOlO0JJb9+uuv59x777393nrrrZKJEycG3W63dc6cOdlXXXVVQ2f3Pvvss8X333+/KCkpWedyufaNRZU6YU/Ewb7GnrRpzZo1+WPHjh34M1VJoeiW/LcxPLOALOALIcRqIcTzAFLK9cC7wAbgM/Rf6+a80OuBl9EDmUtoift5BcgTQmwDbgPu+C/rpti3+RQIJBz3AE8CHwHzhBAe9ED5SeYNUsoQ8AFwIrrgNs970GcUXoBuUaxCn1XY6U6MUsp/APcDsydPntz/zDPPHFpbW2t1uVzyww8/3PbFF1/0yM/PH3v//fc7n3vuuR3jx4//0QEZZ599dv3JJ588fOjQoWMGDBgQevDBBysBZs6c6bnzzjsrzj///CF9+vQZu3PnTue7777beRQucNlllzXeeuutlRdddNHgzMzM8aNHjx49d+7cPVrh8IgjjogNGzYs0Lt377G5ubljf2y7FAqFojvwX1l4uiNCiGuNGJ/9hv2tTftqe9asWbNz7NixSWOPqqqq8vv06fOj46z69es35plnntl5xhlntI1b6jL+2zZ1Rw7UNikLj0KxH660vC8OpJ2xv7VpH26Ppmla0ulF+9sgCqpN+wqdtcn4zHa89LNCcQCw3wkehWIvsq62trZHKtGjUHQ3NE0TtbW1PdBj2BSKA5r9xqVlBFA/CViBl6WUD3VxlX4URsCuB4gBUSnlRCFET+Ad9OnTO4HzpJQNXVXHzhBCvIo+c69GSllsnEvZBiHEncDV6G2+WUr5eRdUu0OEEK/m5eXNeOCBB5yTJk2qAywejyfH7/dnWiwWDSArK6vB5XIFADweT49AIJAJkJ2dXW+e7y7EYjFbQ0NDnqZpViEEaWlp3szMzGZN0ywNDQ0F5lTn3NzcWrN9+2qb9uXnJKUUbre7j5RSADidTn92dnbjD3hOdS6Xa1k0Gr1mwoQJNV3ZFoWiy+nqpZ5/igNd5JQAgwEH+rYWB3d1vX5kW3YC+W3O/QW4w3h9B8YWHt31AI4FDkWfKdVhG+hgG5LudKRo0z3Ab5Ok7fZtAgqBQ43XWcAWo9777HPqoE378nMSQKbx2o4+u/WIffk5qUMdXXXs8xae/Px8OXDgwK6uhkKhUOxTrFixok62WcdModif6XThwe7OwIEDWb58eVdXQ6FQKPYp2qxQr1Ds93SJ4PmhMR57i7VlTXsze4VCodirjCnaoyWVFAoFXTdL6zXg1Dbn7gC+lFIOQ1+ZWS08qFAoFAqF4iehSwSPlPIb2u+TNRP4m/H6b8AZP2ulFAqFQqFQ7Ld0pxie3lLKSgApZaUQoleqhEKIa4FrAfr37/8zVU+h2L+QWhTpdUMs0tVVUfxINnoqOk3jcrkoKirCbrf/DDVSKLov3Unw7DFSX6n3RYCJEyfu29PMFIouQnrd5PfMISc3FyHUWor7IumOjr/CpZS43W7KysoYNGjQz1QrhaJ70p1WWq4WQhQCGH/VIlkKxd4kFlFiZz9HCEFeXh7B4I/e01ah2G/oToLnI+By4/XlwJwurItCcUCgxM7+j3rGCoVOlwgeIcRbwCJghBCiTAhxNfAQcJIQYitwkvFeoVAoFAqF4r+mq2ZpXSilLJRS2qWURVLKV6SUbinlCVLKYcbftrO4FArFfkavnjl7Le/77/0zTzz2WNJrs556kjff+PteKzsVs556Er/fH3//37Z/4MCB1NXVEQ6HOfbYY4lGo/9tFRWK/Zbu5NJSKBSKvU40GuX1v73G+Rdc+LOX/cysp1sJnp8Kh8PBCSecwDvvvPOT561Q7C/sk7O0FArFT8uDn25kU5XnJ81zZJ8s7pw66gfft72khN/ccjN1dbWkp6cz69nn6VNYyBGHTWD9pi1YLBb8fj/jxoxm/aYtlO7e3S79iJEjU+b/1YIFjBs/HptN//p7dtbTvPLSS1htVkaNOpi/vfEm99/7Z3bu3EFVZRXbtm3lob88wtIlS5j3+Wf07duP9z78J3a7nQX//jf/e8fviUajTJg4kSeffgan05n0/CsvvUhlRQWnnXwi+fn5zJ03H4B7/ng3cz/9hLS0NN557wN69+5NbW0tt9x0I6WluwH4y6P/j8lHHoXb7eaKSy+hrq6WiRMPI3EvxDPOOIM777yTiy+++Af3uUJxIKAsPAqFoltx0w3X8/8ef4L/LF7KAw89zK23/JoePXowZswhLPzmGwA+/eRfnHjSSdjt9qTpO2Lxou8YP/7Q+Pv/9+gjfLd0GUtXrOLJWc/Ez+/Yvp0P5nzEO++9z9VXXM6xx01h2crVpKWl8dmnnxIMBrnul1fz+huzWbZyNdFolJdeeD7l+Rtu+jWFffsyd978uNjx+XwcfvgklixfyVFHH8Nrr74CwO9uv42bbr6Zhd8tZvbb73Ljr34FwIP33cuRRx3FoqXLmTZ9Brt3747Xt7i4mGXLlv00D0Gh2A9RFh6FQvGjLDF7A6/Xy5LFi7jkogvi58KhMABnn3su7//jXY6bMoX33n2XX173qw7Tp6KqsrKVBai4eAxXXX4Z008/nRmnz4yfP/mUU7Hb7RQXjyEWi3HyKacAMLq4mF27drJly2YGDhzIsOHDAbj4kst48fnnOHbKlKTnb7r5lnZ1cTgcnDZtGgDjDz2Uf3+pC6EF//6STRs3xNM1e5rxeDx8++1C3nrnHwCcOnUqubm58TRWqxWHw4HH4yErK6vDPlAoDkSU4FEoFN0GTdPokZPD4mUr2l2bNn0Gf7r7D9TX17Nq1UqmHH88Pp8vZfpUuNLSWq1L88Gcj/h24UI++dfHPPzAAyxfvQYAh8MJgMViwW63x6d3WywWotFYK3dSIqnOJyMxX6vVGg86lprGgm++JS0trd09HU0zD4VCuFyuPS5foTiQUC4thULRbcjOzmbgwIF88P57gC4evv9eFyCZmZlMnHgYv7v9N5x22lSsVmuH6VMxcuRItpeUALrAKist5bgpU7j/wYdobGrE6/XuUV1HjBjJrl27KNm2DYC3Zr/B0ccck/K82Qavp/NYqV+ceBLPP/ts/P2aNasBOProY3jn7bcA+Pyzz2hoaIincbvdFBQUqC0kFIoUKMGjUCi6DL/fz7DBA+PHU088zquvvc7f/vpXJk08lInjxvLJxx/H05997rm8PXs2Z597XvxcR+mTcfIpp/KfbxcCEIvFuPrKyzns0HFMPvwwbrr5FnJy9myquMvl4vkXX+aSiy7gsEPHYbFYuOba61KeB7jq6ms48/QZnHbyiR3m/ehjj7Nq5QoOnzCeCWMP4ZUXXwTgzj/czbcLF3LkpMP4cv4XrfYSXLBgAVOnTt2juisUByLih5hfuyMTJ06Uy5cv/1H3ri1r+olro1DsO2gNZQwbMaKrq9ElXHDuOdz3wIMMHTasq6vyX5G4l9ZZZ53Fgw8+yIgkz3Tjxo2MGtU6TksIsUJKOXGvV1Kh6CYoC49CoTjg+PN991NVVdXV1fjJCIfDnHHGGUnFjkKh0FFBywqF4oBj+IgRDN+PxIHD4eCyyy7r6mooFN0aZeFRKA5g9nWXtqJz1DNWKHSU4FEoDlSsdhob6tWAuB8jpcTtdqup6goFB7BL6/8+Xs+yHWp/UsWBS4YdzhrhoXdGBalXdlF0Zxw2KznpHU9Dd7lcFBUV/Uw1Uii6Lwes4FEoDnR8Efj7up9+I0vFz8dhg3rypxndY5VshaK7c8AKnj/NGK2mpSsUin2aMUU9uroKCsU+g4rhUSgUCoVCsd+jBI9CoVAoFIr9HiV4FAqFQqFQ7PcowaNQKBQKhWK/RwkehUKhUCgU+z1K8CgUCoVCodjvUYJHoVAoFArFfk+3EzxCiFOFEJuFENuEEHd0dX0UCoVCoVDs+3QrwSOEsALPAKcBBwMXCiEO7tpaKRQKhUKh2NfpVoIHOBzYJqXcLqUMA28DM7u4TgqFQqFQKPZxupvg6QeUJrwvM861QghxrRBiuRBieW1t7c9WOYVCoVAoFPsm3U3wJNu0WbY7IeWLUsqJUsqJBQUFP0O1FAqFQqFQ7Mt0N8FTBhyU8L4IqOiiuigUCoVCodhP6G6CZxkwTAgxSAjhAC4APuriOikUCoVCodjHsXV1BRKRUkaFEDcBnwNW4FUp5fourpZCoVAoFIp9nG4leACklJ8Cn3Z1PRQKhUKhUOw/dDeXlkKxVzh18hgWL/xqr+Rd765jxnETCQWDnaZ119Yw8/jDCYdCe6UuCoVCoUiOEjyKA56l333D1edN58iD+3Pq5DHtrpeX7uLq86Zz+LBCTp9yWDvh9Oozj3PGeRfjdLkAeOz+P3LS4aOZPOogTjmimBefejSeNq+gF4dNPob3Zr+2N5u0z/KH31zP03+5r6uroVAo9kOU4FEc8KSlZXDG+Zdw211/Tnr9f266hpGjD+Gb77fz69//gdt/dRn17joAwqEQH733FtPOOi+e/swLLmXOV0tZtLGU1z+cx9w57zF/bkvs/bQzz+Ufb7y2V9ukUCgUijZIKffpY8KECVKx93jooYdk3759ZWZmphw+fLicP3++lFLKWCwmH3zwQTl48GDZs2dPee6550q32x2/75xzzpG9e/eW2dnZ8phjjpHr1q2LX/vkk0/kqFGjZGZmpuzbt6985JFH4tdefPFFOWTIEJmbmytnzJghy8vL49cA+dxzz8mhQ4fKnJwcecMNN0hN06SUUm7btk0ef/zxsmfPnjIvL09edNFFsqGhIX7vgAED5BdffNFhW7/44gs5YMCAVuc2b94sHQ6HbG5ujp87+uij5XPPPSellPLrr7+WQ4YMSZlnWVmZLC4ulg8//HD8XCQSkWlpaXLnzp1J7/H7/fK2226T/fv3l9nZ2fKoo46Sfr9fSinlnDlz5MEHHyx79OghjzvuOLlhw4ZWbfzLX/4ix4wZI9PT0+VVV10lq6qq5KmnniozMzPlCSecIOvr66WUUu7YsUMC8oUXXpCFhYWyT58+8tFHH43nFQwG5S233CILCwtlYWGhvOWWW2QwGJRSSrlgwQLZr18/+eijj8qCggLZp08f+eqrr7a69/bbb5cHHXSQ7NWrl7zuuuvi9e/o3hdeeEHabDZpt9tlRkaGnD59esp+Vfz3AMtlN/gOV4c6fq6jyyvw3x5K8Ow9Nm3aJIuKiuKiY8eOHXLbtm1SSikff/xxOWnSJFlaWiqDwaC89tpr5QUXXBC/95VXXpHNzc3xgXPs2LHxa3369JHffPONlFLK+vp6uWLFCimllF9++aXMy8uTK1askMFgUN50003ymGOOid8HyGnTpsmGhga5a9cumZ+fL+fOnSullHLr1q1y3rx5MhgMypqaGnnMMcfIW265JX7vjxU8H3zwgRw5cmSrczfeeKO86aabpJRSzpo1S06dOrVdXg8++KDMyMiQgBw0aJAsLS1tdX3MmDFyzpw5Setxww03yOOOO06WlZXJaDQq//Of/8hgMCg3b94s09PT5bx582Q4HJYPP/ywHDJkiAyFQvE2Tpo0SVZVVcmysjJZUFAgx48fL1euXCmDwaA8/vjj5T333COlbBE8F1xwgfR6vfL777+X+fn58T66++675aRJk2R1dbWsqamRkydPln/4wx+klLposVqt8u6775bhcFh+8sknMi0tLS6mbrnlFjljxgzpdrtlc3OznD59urzjjjv26N7LL79c3nXXXR0+J8VPgxI86jjQDiFlu4WM9ymEELXAroRT+UBdF1Vnb9FVbXICI4HtgJfWq16PBnYDHuO9HRgDrEySjxUYB6wGYsbrMqAe0BLSDTCulxnvLUbadUAYmABsNuoCMBjwA1VJyswB+gIbjPdjgJ0J9U1GFjAQWJtwrifQC9iUcK4fent3An2AdKCZ5M8oDcg16pjY1pFALeBOcs+hwEYg0OZ8oZHf9oRzhwA70Ns1BihH71eAIUAE/TlhtCMLKAEcRvr1gBltXYT+rHYBxUATLVu9ZKM/n7VGHsNo/azHAtsAHzAevd/NyOwM9Ge1J/cORH/We2vBUfX90MIAKaVaql5x4NDViuunPtgPf7V0ZZuAi4BvgQb0zVz7Guf96IN8Y8IRRBcDVuAh9IHVTCOBIca9G4A5Rp5fA5ON83OBG9uUXwUcZbyWwNCEa68B9xmvexn1KzfK9AKlCWl3Aid20tYTgZ1tzp0JbGhz7mngaeP1DcAnHT0j4A7gsTbnvgdOT5K2l9HOzCTXngMeaXNuMXBxsjYCbwD3JLy/BphvvB5olJORcP1GYK7xOgCsS7g2Eggbr6cAZW3qsdPoP7P+iZ+LJsDb2b1tn+n+9r+k2qQOdXTtoYKWFR0ipZwtpTwa/de9BB42LpUCp0kpcxIOl5SyHF0kzUQfAHugD67QsleaX0o5E31w/CfwrnG+wihHTyxEBpCHLmI640GjfodIKbOBS0i+N9sPZT0wWAiRlXBurHEedOEyvJM8bOjWFgCEEDZgKLAmSdo6dOE4JMm1tv0j0Ldi2ZP+SUXiVi79abGsVKBb+JJd64g6dLE0OuFz0UNKmbmH9dm3Tc4KhaLbogSPIiVCiBFCiF8IIZzog3AA3eUE8DxwvxBigJG2QAgx07iWhe7OcKO7ex5IyNMB9BRC9JBSRtCtMWaes4ErhRDjjDIfAJZIKXfuQXWz0K06jUKIfsDvfkA7LUIIF7qbSgghXEY9kVJuQXfF/ck4fya6G+l94/al6O4ze0Je1wkhcoXO4eiWky8Tijwc3ZKU6IrFKE8DXgUeE0L0FUJYhRCTjf54F5gmhDhBCGEHbkfv5+/2tK1JuFsIkS6EGA1cCbxjnH8LKDSeaz7wR3SLUYcY9X8JeFwI0QtACNFPCHHKHtanGt39pVAoFD8p+6PgebGrK7AX6Ko2OdFdU3XorqVewP8a155E3+dsnhDCg+5amWRcex09DqQc3X21uE2+fmCnEKIZ+BW6NQYp5ZfA3ehiohLdynHBHtb1/9BjX5rQXUwf/IB2Hosu5j5Ft2QEgHkJ1y8AJqK74B4CzpFS1hp1DqO7YbYlpD8T3Z3nQRcJTxuHycXogjEVv0WPd1mGHo/zMGCRUm5G76un0Z/JDGCGUYcfy9dG3b8EHpVSmu2+D1iCbsFaix5zs6cL5PyPkedi4xnPB0bs4b2vAAcLIRqFEP/cw3t+COr7QaE4QNnng5YViq5GCFEALATGSynbBhq3TdsLXWSMl1J2vjTzXkIIMRA92NkupYx2VT0UCoXi50IJHoXiAEQJHoVCcaCxP7q0FAqFQqFQKFqx3wgeIcSpQojNQohtQog7uro+PxYhxE4hxFohxGohxHLjXE8hxBdCiK3G39yurmdHCCFeFULUCCHWJZxL2QYhxJ3Gc9v8A4Jbf1ZStOkeIUS58axWCyGmJlzr7m2KAV8Ba4UQ64UQt8C+/ZyEEAcJIRYIITa2adM++5yMQPmlQog1Rpv+zzi/zz4nhaLL6Op58T/Fgb7uSwn67A4H+nTfg7u6Xj+yLTuB/Dbn/gLcYby+A3i4q+vZSRuORQ8gTlzHJWkbgION5+UEBhnP0drVbdjDNt0D/DZJ2m7fJvRFDA81XmcBW4x677PPqYM27cvPSWCsyYQ+E3AJcMS+/JzUoY6uOvb5GJ78/Hw5cODArq6GQqFQ7FOsWLGiTqqVlhUHELaursB/y8CBA1m+fHlXV0OhUOzj+MNRVu9u5Mih+Z2mrW4Okuawku2yd5rW7Q2Rl+nsNN0PobTeT7+cNCyWH7+2phCi3TpQCsX+zH4Tw9PdWbi1lhpP57OQ/eEoi0qSba/UnrVlTex2+ztNF4lp/HNVOZrWuTXvzSW7eGbBtk7TKfacb7bUEolpnSf8AUT3ML9oTKO6ec9mv8c03ey7r7AndY3GNK7861K+2FDdadrnvirhopeXdPo/FYrGmPH0t9z9z3UdpgP45PtKJt43nw0VzZ2mfeXbHbz4TUmn6b7eUssxf1nAR2v21nZjCsX+iRI8SfhuWx2haKzTdEu2u3n0882dpgtGYlz512U8PHdTp2nfXlrKhS8tZnutt9O0172xnD9+1PmX7pcba7j1ndV8vbW207R/X7SLlxdu73QwcXtDTHpg/h6Js+/LGnlz8Z79mJy/oXqPhOEPobTeT6N/z9bmc3tDnScC3lm2m7/+Z0en6daVN3HZq0uZvWR3p2nfXVbK9W+s6LTvg5EYhz/wJS983fng+PqiXRz98L/ZXNXRnqk6055ayFWvLeu0fG8oyqx/b90jsS2lpLo5iDe0ZzPfG3zhPRIy93+ygVOfWNhp2vkbq1mwuZb3V5R1mE5KGRcQi7d3/Jn+eE0lNZ4Qi0rcHZYfiWk8/NkmJLB0R8d5bqxs5oFPNvLC1x3/70kp498jq3Y3dJinQqFojRI8bdhe6+Wil5fwt+92dpp29tLdzFqwjdL6jr/4t9f6iGqSLzZUd/pL3xyY/rOt482PPcEIFY1BVu1u7PRLf0u1nuea0sYO08U0yfY6Hw3+COWNHa6fx8rdjVQ3h5i7rrLDdADPLijh7jnrOhUdDb4w17y+nCe+2NJpnst21nP5q0sJRjoXphe+tJibZq/qNN132+qYeN98vt3a+cbTz31VwkNzN9Hg67hNq40+/3gPfo2/u6KUueuqWL6r44FsfUUT9b4wT365lbpOBNqiEjeRmOSuD9d2+Dmp8QTZVOVhweZaPlzV8dZcH64q59F5Wzj2kQVsq+lYmP/mndVMeuBLLn6p7WLb7fl6Sy0T75vfqeViwaYaXlq4g83VHrbX+TpM+9p3utBevqu+w/ZvqGxmlyHgOhM8r32nC90aT4iKptTifP6GanbX+7GIls9BKh75fDMxKXH7wh3+760pa2JDpW4t6qztCoWiNft8DM9PzdryJgDmra/m2mOT7d/YgilO5m+s5sqjBqVMV2JYa5qDurvq2OGp4wS31uh5Ltxax6WTB3aQTs+zKRBhR52PwQWp92Y003b2pVta7ycc1QXZ2rIminLTU6ZdX6H3055YeFaVNqBJ+K7EzdQxhSnTfW/0/YLNtXpEvUgdn/DPVeV8vaWWz9dXMXNcv5Tpaj0hyhoClDUE2FzlYUSfrJRpl+yoRwJ//td65t5yLNYU8RGeYISdbj/ZTgtrNm6ld0bq3w2D7WFeOr0QAaxbvyFlnlJKrh/rQjukkHBdKRsDqV0wsWA0nmfJls3UpqWOI7lwuIULhheiSVi7fgN2a/K6BsIxXjpdfzbOaB0bN6a2CA22heNp68u3s9GdvHwpYcYAyfQBhUjZcfs1TRJtDvL8jD6kRWrZuDG1C8jmDfHKTL1NDeU72FiX/GsspkmuLnZw3SF9iWqSdes3YEvRfm8wwsunF+KwWYhpko0bNyavp5TcOiED1xFZBCIaVbtKaK60Jk2bG4nw8sxCnJ3kCXDJCCuXj+pLOCap2b0dT1XyPKMh/dk7bRaimtZhniYul4uioiLs9s7jjRSK/RkleNqw3vC1r9zd0GGwYTSmxYXMFxs6FjzbarwIAS67lS83VqcUPFJKSmr1X22Lt7uJaTLlALGtuuWX9ardjR0KnkQLT0dCwkwHuvA7rQNxYvbT1hovdd4Q+Sn6qaIxQHWzboX4Zkttx4LHEGSVTUG21XgZ1ju1OFlhWEHeXlraoeAxhRnov8wfPOuQ1OWXNWKzCLZUe/lmSy3Hj+yVIk+97bdO7kluTjYjhxSl7NOt1R56apJwTKMwJy3l58kfjhKt8eKwWohokhGF2SkDUne5fWSHY1gtAqtFpHz24WiMSJWHgkwntd4Q/Toov7IpgN0bJi/DgdsX7rD8TVXNFNmthKIatg7KD0ZiRKs9FGQ5qfWEOmy/2xsi1hgg02nDF44xvDA76WdfSsnGSg9ZLhueUJRMh5X+eRlJ8/QEI2h1PvrmpFHRGKBfbjo9MxxJ0+5y+8iJxMjLcFLRFGBoYXZScegPR4nVeOnfM52yhgA9Mxz0zUlLmueOOh89Yxo5aXaqmoMM65uNzdI+z0hMI1LZTGEPF1XNIfIzHBSmyLOyKYDTG6ZPtpPKpmDKeppIKXG73ZSVlTFoUOrvKIXiQEC5tNqwtqyJbJcNTeqWhlTsqvcTiUn6ZLtYurMeXwcxCttqvRTlpFHcNztuxUhGnTdMUyDC+P45NAejbKxM/St3S7UHp81CptPGqtLULpBoTGNHnY+cdDsN/ghlDanN5aYlaEBeOt+Xpa4nwPryJgb01C1AS7bXp0y3arcuYopy0/hma22HboU1ZY3kpuu/Qr/qoO+9oShbqj30zHCwaLu7QxeAKU6OH1HAZ+uqiKUI3JZSsq68mVOK++CyW/h6S+ry1xnPcFRBGjgziabIU5OSYFSjR7odm0XgD6d2v5nXCrKcSCnxh1N/nvzhGOkOK+kOK/5wLGWfmnnmpNuxWSwdlx+KkWbXP09SSgIpXIWRmEY4qpHusMbFSaqMaclpAAAgAElEQVRgeJ/Rhp7pDhxWC55g6jY1BSI4bBZ6ZbuQUuINRlKWH9WM8h1WfB20yXR35qTZsQjRofszEInhsluxW3WRleqZBiO6BTTNbsVpsxCKpnZRByIx0uxW0hzWVve2JWTUK81uJc1u7fA5haMaDquFNLuZZ8cuXSEEeXl5BINdtm2bQtFtUIInASklGyqbmXZIIb2znXyxoSpl2q2GNeSSI/oTjcm4xSEZ26q9DOuVyZh+OWyq9KQcdE131gWHHQR0HJS4pdrD4IIMxh7Ug5W7UruqShsChKMaZxhWkJUd5Lm12kNhDxdHDslnTVljyoGswRemoinIeYcdRLrD2mHMw+rSBhw2C1cdNYiKxiA7UwS6SilZU9rE8SN6MaxXJv/eVJMyzzWljWgSfnPScADmrk0dR7S2vIn+PdM569AiGvwRVqcQh9XNIWq9IQ4bkMukQXl8tTl1+WvLm+id7STdYUUIkVLshiK6GNEHPRuBDgayQDiGzWIhJ92OgJQDeTSmEYlppDlspDlsaFKmHHSDEQ2BwGXXxZGvAxEVjMRIs9tINwbnVG0yB+N0h41Ml61DceYP6VYoh81ChtOWUkTFNA1fKEaPNHt8IA+liHVrKd+Ky24lEtPQUgi+QFjDbrVgs1qwWkTK/7uYJglHNVx2a9yqleqzH4zEsAi9TR3lGYlpRGN6njYjz1Rpg8bzcxoiqqM4v2BEw2mz4DL7KYWISqQj17BCcSChBE8C5Y0BmgIRRvftwUmjevPNlrqUv6A2V+nWkPMP64/VIliSYhZGTJPscPsY2juL0X2zCURi7KhLHuhpurOOG96LgixnhyKqpNbH8N5ZjD8ol83VnpSDTolhtZkxtpB0h5XlO1PnWVofYGBeBhMG5OIJRtmWYqbYbiNIe0TvLCYO7NlhHE9lU5C+PVz8wnAPLUwxU6w5GKXWG2JkYRbHj+zF8l2prWam9en0sX0Z1SeLTzoQPOvLmxjdN5vjRhRgswi+2JBcyJhWmzFFPThueAE73f6Uwejba32M6J2F3SqwdCB4zAHOZrWQ7rASjMY6HHRtVoHVog9mqWY1mYO71SLi4iSVRUCTEotFH/AynFbCUS3pdHYpJTGpu09tVgtOW2org3m/w2bBYbhSUltDYqTbdVFotYgOhYlEkum0YREgEGgpxnF/WBcczj0QJ6aFBcAqUpdvzsh02a1YDHGQKm0wEsNpsyCE/uw7SgeQZrfE65lS8ER0YWizCCwd9JOUumvUaddF3KjCbPIyk7voFApFe5TgScDt1WfcFPZwceLBvQlEYikH89IGP72znBRkORnTr0fKdN5QlHBUo1eWk9H9sgFYV57cVVXn0WNdemU5GX9QTtwdlIzmYISeGQ7G988hpknWpnBBNQZ010BBpovx/XNSCjPQXRCZLhsTBujb8qQSXKalIMNp48gheWyr9VLrST5bKBCOke6wMSAvXXdrbUk+A8oUDdkuO1OGFxCJSb5L0aem+6NHmp1phxSyancjNSnWmnH7whTlppHtsjP2oByW70zufjNnOxX2SOPwQT0BUrr1fKEoWS67ISRseEOpBIf+1yKIi5NACmGqSRkfbDOctpSuqsQ8nTZLh64aTWvJ02HTy09mPTCLMcNL7FbRgZuupXxrJwN5TEqsVgtTpkzh+9Ur263zM2vWLIYOHUpWmp2GejdWi0AIgRCSu35/G0OHDuWQQw5h5cqV8XuaPT6uOmcaUtMoL93NBVOnMOHQQxk9ejTPP/98PN3551/A1q1b4u4ki6V1Pc855xy2b98OtIgTl92yB4JHi1tXrBaRUmyFE6w2ViPPhoYGnn322Xiar776iunTp+t52gxhKCAmk68xFI5pSClxGs+yvHQ3Y8aMAWDt2rVcccUVSeuiUCh0lOBJwPxVm+awMnlIHlaLYPmu5AOk3xAHAEcMzuP7sqakA48/QRwMLcjEabPErQltMX+RWiyCCQNy2VXvT7oujO5G0OM4xh2UA8CqFDOwzPLTnVYmDcpja42XJn/y+IiAkefAvHRy0+0pBY/fGOAznFaOGJwHpJ7K6w/HSHfqX+bHDstn0fa6pAOkWc80h5WJA3uS7rCmnJrvD0fJMAayMUV6+3cnscZomt5PaQ79OfXOdtKQYmp8oqukIEsPrG0MJE8biMTiA6k5WyYZ5qBpESJuaQikcEFoUhcRoFtPpJRJ+8kcYC1CFwc2qyAaSy1OzDzNQTdpngn1BDp01SSmNdPHUoiD1uW3nDM56qijmD9/Pgf1H9Cq/P8smM/2km1s3bqVF198keuvvz5+zztvvs4p007HarXSt28hr3/4OYuXrWDJkiU89NBDVFToU9qvue5a/vrcU/GAXt0ao+exfv16YrEYgwcPBiAU1RBC4LBa4qIv2SOVUhLVtIQ8UwujZP3U0NDYSvCYRDUNu62lnvq+P+3zNEWUw9b+a3vMmDGUlZWxe3fn6z0pFAcqapZWAoGIIQ4cNpw2Kz3THdR5Ug+Q5qA3pCCDqCapaQ7RP6/1VG5fqGUgtVkt9O+ZTmlDcleJLxSNWwJGFerWoJJaX7uZLeGYRkyTpDts5GU66d8zPWW8T+JAftjAnkgJK0sbOH5E+xlI/kgsHpcyYUBuasETaclzYF4GQrTENLUvP0qPdEe8TbOXluL2heiV5UpazwyHDYfNQr+cNCqbkgcjJ/Z9njHrxp1kPRwzZsQUR7npDhpSiL24MHTYcNn10aYxZdpY/DmZ4uD/PlofXx/FJKpphCIa6Q4bQujP157gCmpbV4HuVolqklAkxqEDcvnzzOJW6eIDqUXg8/n41aXnUl1ZgRXJ3Xffzfnnn8+KFSu47bbbqG9sJqdnT96d/QY5eQW8P/tvfPzO34lFIwwdOpS///3vpKen849//IO7/3QPLoednrk5zP7nZwQCAa688maWL1+OzWbjscce4/jjj+etN17nXx9/jE1GKCkp4egTp/LgQw8BcP3117Ns2TICgQDnnHMO5117W3ywFwnWINMyNH78eKNVrQXXgnmfcuZ5FyKE4IgjjqCxsZHKykoKCwuZ8/47PPnCXwFwOZ04nFE9jikUQktQKUceeQxXXHElMhYFHFiEiAvTN998k5kzZ+r1icW45fpfsmrlSlx2K5dfcSUnn38V0089kcMnTmDFihXU1tby+uuv88ADD7Jy9RrOPudcHnvkISwWwV9fmMXc998C4JprruHWW28F4Jmnn+SNv72Gy27l6quv5sRzr+Lee/5ASUkJ48aN46STTmLatGl4vV5uvvpStm/dxKTDJvLE868AsGz5cn7/u9/i9XrJz8/ntddeIz0nnw3fr+aSO24hIyOdo48+utVnY8aMGbz99tv8/ve/T/q5VSgOdJSFJwFTnJgDZH6mA7cvuavGF4qSYVgO8g2LQG0Sa0wgIcgT9AHadJ21JXEgNad51ycp358gogCG986ML5qWLE8hwGWzMqRAn75bliI2JRDWA1cBhvTKpKzBn9S0HohbY2zYrBZy0uxJBYeZZ7ph3eiZYbapfdpEYQaQl9lRP7X0vTnNuMM8nXra3HQHjf5wUjeEPxzDZgTYuozZMqkWFQwkCC5z8Ja0zzPedYZ1QwhBkmTxtGZwqYifk63+QmuX0meffUbvPoV8/O9FrFu3jlNPPZVIJMKvf/1r3nvvPebMX8i5F17GXXfdhdUiOOG0Gcz/5jvWrFnDqFGjeOUVfXC9/777eO6N9/l2yXI++ugjrBbBm399EdBdJW+99RaXX345wWAQCWzesJZ33nmHtWvX8vnHH1Baqq9ifP/997N8+XK+//57vv76azZuWNtiNerEVWS2CaC6soI+hS1LDRQVFVFeXk44HKZ01076DxgQz7OqooxJE8dz0EEHceOtt1NYWGh2Nv0HDmb9urV62gT301ffLGTQSF1Irl69msqKCj7+ajFr167lqiuvjJdrt9uZPeczfnntdcycOZMnn36a9+d/x9uz38DtdrN29Sr++c6bLFq8mMWLF/PSSy+xatUqVqxYwTtv/J3Z//qSxYsX8/LLL7N5wxru/NO9DBkyhNWrV/PII48AsGrVKn5/z4N8vXgl27dvZ/niRUQiEW695Wb+8Y9/sGz5cq666iruuusuNE3yx9tv5P898TiLFi1q138TJ05k4cKFKftXoTjQURaeBAIJLi3QhUxHsSmm66PAECfJVr2Nx7uYA3mWM+W+Ov5wtKVsIxixLsmgn2hhAeiV7UoZ7+MPReNusrxMJxZB0jaZs23MPAsynURikuZAlB7prRcsiwsJuylOnEkFh97+FhEXFyfJ2pTg0gLIy3CmnJafaOHpWPBEW9UzN8OBJsETTN4ms56gT+U2458SicY0wjHNEFzRuOC587RROO2tF4uraQ5S1RykuF8PLEKwucqDy25hQF4G0ZgWD+YF2FDRTHaajaLcdHyhKCW1XgblZ+APRykxgqQdNksrV8mYMWO49bbbefjPd3PZ+Wcx+tBJLFm1lnXr1nHSSScRimpoWowBRf2wWATbNm3k99dditfTTGNTM6eecgoAR0yezB9vv5ELzz+fiy84F4tdsGLpYv73d7/BE4zQs99ABgwYwJYtW5Ca5Iijj6NHjx4ADB0+kt27d3FY8TBee2M2f3/tVWLRKJWVlZRs2cyxR0yM1xd0C48/HKXBH6FvD1erGUSJ6/6YXrptNV7Chsuprq6OrOwe8bwsFkGfvkV8u2QFlZUVnHv22Zx7zjkM7t8PTUp65uVTXVUZL9/su8rKSmwZuit08ODB7N61k/vv+h0Xn3smJ510EuV+D1LCyadNo94XZvDwUYwePZreffrQWOVh4MBBlJaWsmzxIn5x6nTS0tIJRjVOm346Cxfq212cMm0GmRmZZGZmctZZZ7FqyWL6zpgB6OsjmW6xww8/nF6FfbHZrIwbN47S0l34hZP169dzwoknEYlJ7BZJYWEhjY2NeJqbmHLcFAAuvfRS5s6dG++zXr16xV16CoWiPcrCk0A83sawHhRkOpMKDjAGcsNykN+B4Am0sTLkZzhS7tfkD8fiZedmmIInWZ4t7heznvX+cHzKcuIMH3/iTBWLoGeGg5okgicU1dBki+Dola27nJLta9ViOWlxK5n1fHPxrlZTugNGDA8Qn1Hi9oUJRmK89M32eBBt3KXlbLHcmCJm9pLdvJiwb1Sidc2ccm2m3VDRHP8l70uINQLia/wki+PRxV6L/s9Jt8e3wvhuW138dVuxaQqWqCbxBCNsrfbEB1ZNSgQibrFJjI3ZXuejKiHQOjFoOTEYOBjRA1XN+LBEwTN8+HA+XfAtQ0cczJ133sn//fn/aPCFGT16NKtXr2bOl/9h3sKlzJs3D6sQ3H37Ddz/yOMsWb6K6279H7x+3WX4xNPPcOPv7qKivIxx48bR1FAPUiI1SYM/Qk1zy+dFAxzOFher1WolEomwraSEJx57jLc//ITvv/+e06ZOJRwKtYiTeAyPLqLd3lA89si0bplp+/btR0W5bjUKRmKUl5fTt29f0tLSCIWCcWGUGENU0LuQIcNH8o1h4TDdXOlp+gJ+FkuLiHK60vD6dOtlbm4u//r3d0w66lieeeYZfvnLX8bztdmdRl4Cp9MZj+uxWC1Eo1GEaHnO9d4Q3lDUiL/R7X2JawwKS0v81ZZqb/zz6nA44/1jtVrRYjGQkpEHH8zn3yzm3c+/Yfmq1cybN4+YprXqp7YEg0HS0pIvWKhQKA5wwdMUiLTat8fXxsKTl6kP5FJKNld5Wi1wFwjH4lYb08qQLN7HFxcnLdaQ5qA+c8sTjLRym/hDsfiAb7dayE234/aGafCFGXPP5/E9nnxtXFr6YnW6kHjuqxJOfuzruBvEH4rG8zTTmoJn6Y76ePmBNi4l02pV6wmxrcbDH+esi09J9od1y4YZi5KX2SJOnvhyKy8t3N7SpkiLkMg1Ynka/GG+2lzL/Z9ujAcmxwPG7S192hiIEI1pvLeijL8m7G0WaGON6ZnhoMEXZrfbz9SnFvKpsb+Xv40wNMuv94d57T87uODFlv2dfG3yNON9gpEYl766NN6mtlZAW4LlwheKEYjE4uvimEG7phXDZggeKfV1X8y8pJQpBU/MGGXDsZY8Qc+3oqKCzIwMpp51Hrfffjvr16yhaOAQamtrWbRokb5dQzTK+vXrEULg93op6NWbYCjMp//8R9zltq2khEPGT+SP99xDfn4+VRXlHDrpSN6cPVvfX61kK7t372bEiBG6OKEFYcwqamxsIi09HWdGFtXV1Xz+2WdGPVusMfE2GQWHE2aMJS6qfPLUafzzH28R0zRWr1hKZlYWhYWF5ObmEotphEO6UKysKCMYCKBpUO+uZ/XyJQwYPFTvJw12bd/G6OLR8XqY/Txo6HB27dhOTJPU1dUR1TSmzpjJvffey8qVK7FYBJIWN2Uk3vf6e7OqRx11DAs+/wSvz4/H62P+3H9x5FFHc+yxx/L5px8TCgTw+Xx8+OGHHHbEUaRlZNDs0QVxy5pEreOXhICBQ4ZRV1vH0iX659MXCLF+/Xoye+SQmZXNd//5FtBjkRLZsmULxcWtY74UCkUL3c6lJYQ4FXgSsAIvSykf2ltl/XNVOX/6aD0HF2YxtFcWgXAsPt0XdMtNKKrhC8e4cfZKinLTeO3Kw4HWFgFzinSdVxcHZz77HXNuPIrBBZnt4m1McdTgD3P/Jxspa/DzwQ1HAbo46pmwrkbPDD2GaIfbhycYZekON0cPy2+1+BsQd63VekJsqfZQ0RTU17/JSWvl/gHoneWipjlIOKpx8cuLueLIgdw17eAkbjI9zxpPiFWljby+aBcXTerPyD7Zep7G+ipmPet9emxMgy8c32PMtFCYIsa0sLi94fi9W6u9TBnRC3+otTA0+6kxEKHOG6KyKYgnGCHLZcfXpk256fp2CGVGMPimSg/TD0m0GrW4tAAa/WGW72pg8XZ3PM+2Iio33cGmqmbqvCF9H6RKj/Hck1t4WokTw6qmr4PTMpJbLYJgRKJJffAMR03Bo1+Pz2hKIg7ig27CLK21a9fym9t/iyYhK93Fb//8CFa7nbffeZfbfnMr1XUNoMX47e2/YfTo0dz8+7uYfuJx9O8/gIFDRxAJ6v119//ewabNW3BYLZx44gkcMnYsaQUH8eSff8+pxxyOsFp57sVXcDqdSFpvTSIQSE0yeswhjBx9CCccOYGRw4ZyxOQjW7XJQmI/6W146qmneObJx6iqquKsE4/i9OnTePnllznplFOZO3cuw4cNw2J3ct9jz8atJpOPPZ7lixcxaOZUNm/axE23/Aa7zYrUJJdfdxNDRhwMQFV1FU5XGv369tX71Iwh0iTH/OJkli/6lkvOmk55eTmXXHI5En0F4wcffDAujsx6msHObeOPxk84lNPPvYijj5xMNKZx1oWXcfCYsWQ4bZx9/sWce9rxOGwWrrnmGg4ZO46YpnHE5CM564TJHH/iyVx87pnxkK4WS5jA7nDw2htv8dvbbqWpqQkhNW6/7TdMO3cw9z72LDfddBPp6emcYrgkTRYsWMC0adNQKBTJ6VaCRwhhBZ4BTgLKgGVCiI+klBv2RnmVxk7H68qbGdorC58hYswv9LiryhOiojFArScU34uqbcxHvmENWlfebIiTel3wtLEytMTmhNha46Gk1kc0pmGzWlpZjczy6zzh+Boz5sKE/jZWo0TBU22k3VzloW9OGoFI6zwLsvTYmBpPkEhMxjcUTQxETpXnxspmRvbJbicO8jKcNAYiultNk9R5w7i9oXhMi5nWDHCu94Uxx8zNxuwuU3AlurRAj80xA8e31XgZ3z/X6KeWj65piTODxnfUte4nMxA77tLyReJrHm2t8XJo/1x9hlyCJayHsRWHabky9xlrm2eiODHXrolbeDRI9D6YLi1TGEU1fZqzOeolumosQrS2hiRYjQR6vqeccgoLj5pCeWOAkX2y2GQIzdFjDuGbb75hXXlTq72eLr7yl1x5zXVkOG1UNgXiQvRvs9+lrMHPyD5ZOGz6oodOl4vnX3yF8sYAoajGQcZGsmeedzHnXnhpvE2vvf0+vlCUqCa59/FnsVoEo/v2wB+Osq3Gi0UIvvrqK2KaZH1FE1qCkLjy2hu483e3scvtIxjR4hu7Wi0W/ve+RxjWOys++y+qSYSAC674Je++9jznzpzKySefzAfzv6NnhkN3K/nC8UUE33vnbc655Ip2FqaoJjlx6ulcc/7pBMIRxo4dy/vzviHDaeMgY6uUrdUe3przGRlOK1VNQcZPOoqLz5xKk7FMwbz5/ybNYcUXinLZtTfyp//9PRWNQULRGOGoRoYTrvzVr7n6+l/H9xnb5fYR1uDV115ne50Pm8XCwX2zmXTk0Wyt8WKxCGbNmkUkprGxspnRYw7hrY8+xxeKUpDppDAnjbIGP2PGjWfNmjXx/r/nnnv0z1woxPLly3niiSdQKBTJ6W4urcOBbVLK7VLKMPA2MHNvFWYKCXOH9LYDuTn7ale9H384RlMgQmm9vlVDVJNtBI8e4GyKKDPg1hduO/uoZaZSdXOIcFRjlzFryheOxgWHmafbF4pvvrnNWDW5reUi0f1kpt1YZZQfah2b0ivbSZ0vHK/nhsrm+Ho10BLgm+W04bJbqPEE44Jnk2HlaGthyct0IGVL/YBWqz8nCgnTGmTOwDKtQQFjNplpXTOnm1c0BuIuPHOvL19CcDfoezU1+CLxYGxzU9e2MTw5CS41UxyZm7C2FbC56XaaDOsSQFlDAH842s71F4/hkUkET4Kbykwbk5JIwro54aiWEJdDq7TRBGtIolvFXIMnsfxwwvYS4Zhs5yZLLL8lz5YYFL18c0aVnj4mW9btCcVau+lMLG3yjGmSaExrZYlKbFtMa8kz0U2XGO9iWmMiiW2KamgajCo+hGOPO45YLBZvU6KIMvshq0cOp59zYYuFyfgbiWm40tK4/rY72LW7tFWfJrZJkzLehqghUuMxPBYzz5aZZ7Ekzz5x81NzpedEq1FM01q5KBPbHkuaZ+u+T2T37t089NBD2Gzd6jesQtGt6G6Cpx9QmvC+zDjXCiHEtUKI5UKI5bW1qTd57IxqT2vB09b9Yw66ibOqVpc1trPagC6O6rwhqoy1Y8w1Wdq6ycw8KxuDLdaDqhZ3SUYbIVHnDccFxw63Lz7LBdpbY2o8wfigvzkhz8Q29cpyGS4aUxDF2On2tXPVCCHiIs4UUS1tiraysJjWmMS1eDZXeVrEQcLspZ5G0LYpJLbWeNCM+Jf0RDdZpplni4jaWu3RN7YMx+Iixsyz3heOt32X299qjyfzOWW7bFgtggZ/i+Ay9y/zt2lTTpqDmCZbTfffWu1N2k9xy40hIILRlgDjtoIDaLX3lRksDrQXJwlWo3A0IRDa0nGekZjWbvVk0AfTRKtRVNOFSVtx0tpNZ4ijVCJO6JasxIUKw7GENhnlJ24v0VacaJqMD/T6PSKeT+s89fsuvfxKrFZrvM6a1l5wnXfRpTjs9nbC0BR5R005gV59i/R7kgguPc+Wc62FqWk1wiizRTSabsrEVa7NNmmaJJrgFgslyVMIc2sN2V4YtumnRIYNG8aUKVOSXlMoFDrdTfAk+29ut3CHlPJFKeVEKeXEgoKCH11YfCCvMK0crQc9U0gkTo9eU9rYbtCDlhldpuVkU5U+OLd1k+UZa9EkLlK3uVof9AORWCtrSF6Gk6ZAyw7n4ahGWYO/nTXGZbeS5bKxvc4XD4bcVJlcRJltStw2YW15U7tgXNDFUaJLKzHPtkHDoM8+MdlS7UnaT3mZeryNKXiCEY3d9X4CkWg7S5DZNy15egnHTOtaQtpMB4FILL7aciASo7o51M4SJoQgJ81OrScUn3K+JcHCk9j2HMP9VVKbvE1mWmn8km8tTjTDwtL6F7ktbo1pWZE72UAKhjhpYxHQtPZ5WpOJg1R5thFm5n2mODGTmvdEYlr8n6+V1crSeiCXdGS1SkhrCq62gqedMCRefud56oIlMb7GFEet6pnQprZ5yrYWHtMaI1u3Kdam/MTVq83yU1ljLG2eJ+gbf8bFpsUUPAKLRb9fa/d5al3PPSXZWloKxYFIdxM8ZcBBCe+LgL22sERNc5BMpw1vKEp5YyDlQG6Kk0ynzRj02rtq8jMdeENRdrr1+BFPMEpFU7CdNSI7zYbNIlpZjbZUewhGY0hJG5eaXv6mqmbshp+hpDbByuBsLbjWG3t09e3hYnudNy7iEt1kvQzBs668CbtVYLcKNlQ2twuENtNWNetWo0ynjVpvCLc31E4cmLFOpjjpm+OKu4CgtYjqmaGv2VPnDdPbCIw2LUyJliBzRpVpNeqXk0Zpvb+dSwl0l5beT574ILO9zht3J7psrYWM6XqziJb82wpD0/1VUuOL91NJra/Vatwulwu3241F6OvzxIxf4Kb46czCY7WINhYeWqU1xUHiYN3WcpDMpZW4g3jbtJph4RFt0lo7cJMJIVrFELWqp2gRXOYE/E4FlxEHp7t1TBHXXpwklh+JJriU2vSTaY0x17aJJRGGbQWPzWqJP6O29TSnsGuaxGaYcaJStiu/bZ5CiAQ3XduAdf1vNCZb+immxafKt+1Ts58SrWJt89wTpJS43W5cLlfniRWK/Zzu5vBdBgwTQgwCyoELgIv2RkGBcIzmYDS+hUK9L4w/HCPL1dIldquF3tnO+K/8Yb0zaQpE2llYgPhWCVuqvQwpyKCk1seWao8e75KQTghBXoaD9RW6hWVAz3S2JLhKMtoEA5t5Hj6wJ0t31rPL7W83LVwv38niHfq+XyMLs6nYVIM/EmsXl2TWc1OVh6LcNKIxSb033C4QGvR4n8/WVwFwcN9slu6op84bxh+KxsUKtHdpDeiZgTcYbbe2jt4mfbp5KKoxpl8Pqpv19Ut8odYiym61kO2yxS0wgwsy2FzlaRcTlQptyqAAACAASURBVFj+jjofo/tms76iWe8nY6uOxEGiZ4YjHtw7tFcmW2t0YRhI2HMLWgKcS2q95Gc6CUc1moORVksC9CwqoqysjKraprjIcdiE7n5qdOL2hnHYLARq9fqFoxo1nhD1xuacdqugXgjcTht13jCywRnfJ6nBFyZoCAe7Vc9Tq3fgCUaRQKzeWCNGk1Q3Bam3Cn2ROqugQUBTuoPq5hARt4Nqo6+aAxGag1EcVn3adSQmCdfZCcc0ghENS3PLoFjbGKDRaiEU1fTNRGMSGl1UNQbxp9lodOn94w/HqPeFabTpAkJKic9pwyYEjYEI1iZXvP9rPSGk0Q92o76iyUmtJ4zLbsFX07qfGmyWeNomi75Ra9t+cntDunDR9I1Kw1GNqNuBPxzVlwBo0NsUjWlUN4doslsIRjQcVn1vrXCdk+qmIOF0O3XG57QxEMEfimK3WowdyiXBWjualPhCUTZ5Wta6qWkI0Gy3EojE4ssOiMY0KhsD+BL6yRuK0uiP0GzX6ygBv1N3sTb6I1iaXHGhWd0cxCJ0MeywCsJGP7m9YWxWC8HaH7ZDusvloqio6Afdo1Dsj3QrwSOljAohbgI+R5+W/qqUcv3eKMtcUG9IQQYrdjXgDUXxh6L0yW79S2hsUQ7zNlTjsFnom5PGxormlkEvwcIyYWBu/PXovj0oqfXR5I+0WwcHoHe2i2ojbqi4qAeLS9zx6euJg25RbssX67DemSzdWR8XXOaeVyYD8jLigmdIQQb/3qQPcP42s7SKctP07S18Yfpku2gKRPCGonFXWKLoONjYz0vPM5OlO+rxBM08E8WBAyGgwR8hN91uWFFaXEppbWJ4YprEG4oyMD+dRdvdeINRApHW7kTQA7zNGVcD8tJZsauh3aKLet9kxV+P6J3F+opmvZ8ircUeQJ8eaSzbqe8RNig/gy3VXpqDEWP15PYurRpPiOK+2XhCUb2eCS4tu93OoEGDeHzxqvh6TtMPKeRf31cy58aj+O2Hyzh5dB8ePGsUALvdfmY+sgCbsQDksN6ZBMMaVx09iBs/Wsnntx4bn6l07782/H/2zjs8qir9458zJTOZTHpCSAFCJ/SOSBEUBUXBiqirKCoq1t3VdW1rW3bt/lbXsrgq4oqIFSzYUWwoIC1Il14SCOltZjLn98e9M5kk0wLpnM/zzJPJueeec95z79zzve9pvPLDTqSEyf1T+Xj9QV66YigvrNqOLcLE/64ZCGjejMl3f4LFpImTCVkpbMst5l/TB3Ht/37g5RlDGZKVAsB/v/udv3+8iXibmf4ZcXy79TD3Ts5iw/5C1u4p4Nu/jPfaf9U/vwIJh4oqGN8zmWVbDrPq3gmcNf9L7jkri2sHaRtvLtuSy7VvriQlxkJspJmCMien9mpHh4RIHv9sD1v+Psm7u/djr/7Chv2FHClxMLpbEt9vP8Jnt43llkU/ctHQDO4/R6un7bklXPvGtyRHWyitdJGVGoPFZGD68I7csmQNX/5pLN3aafX0p7fWsnJXPjnFlZzasx2fbjzEU9MG8M7afThcbt65QduvK6+kknP+/iU9UuxszSnh9N4prN6Vz6LrR3Lt69/yzCWDmJKlTWF/6outPPv1Nrq3s9Mh3sZXm3P544QeHCqq4MtNR1l5zwRvPV38wGd0Trazbm+B96XEXz0tXrufW5espXdqDOXOKkoqXZzWqx2dEm08+ulmNj00yfvbu/eFH8kpqmBffjkTslL4clMOn942hrs/XMnJXZN44qIsFApF/WlpXVpIKT+RUvaQUnaVUs5prHw843e66tNGiytcfhvIQR01IdMu2kKM1URxpatGt4aHLklR3u89UjxpOut0/wCcpjdAABlxkRRXuihz1tyCAqBPWgzp+pTitLhIbBFGrZyVdct5zoA073ePTdqiiTVFlMEgGNdTG/fULsaC3WLS0vTjORnfq3qD0W7tquupvJZNRoOgpy46EqIivN2E/rqf+mXEer9nJmp1ponNqhoCEmCYLiLNRkGy3UqZ7pWrnWbnpCjS4jSh2iHBhkGgeZgq64qooZ3ifc7TbPLcC742dUiwYTV7Fla0EK3b5M+75/EwAXTUpzaX6iLS93p6trNwuaW3noornX69a3GRZu/AY4/wLdXzr1330VaT5g0wGbwiwV93YkykZ6VpJ+neNKv83qMxVpN3JWhPXM+g8Bpp6h7RnKJKYiPNRHnrqa4X0m41e1cu91wvT1zf6+Txsh4uriQm0uy9n6rXaqqOG2UxkVfqwOFyk6qnWVrp0lbjttSMB9VLUaTGWil1VNeT73WKijAipZZ/rM2MxWSgTI9b+3cXZTFxUF+Q1JN/rp/7yWPfgcJyYn1tcri0ve7M1fUUbTV5FzlN99pUpS1MWit/hUIRPi1O8DQVnoG41Q25s8Y2CB4GdtD23GkXbSXaaqbYp1vD9+EjhPAKHc/aG0UVLkoddRvdKQOrxUlMpBmHy+2dsRVZK83Te6fo37UHocfDYquV5siuid7vKbFW3UbtwRtVy6Zx+k7pBwsriI40U1RR3U3nO94lxcfb5aknT9zaD35POY1610NJpctnlenqsg7uWC04Ouk7y3vEZqS5dprtAa3rxe7TCNauJ9A8cUCNxqT29HmAk7pU11PnJJteTxV6PVWX02IyMrRTAqANtLZb9QbK6SLCaMDk05APy0zwfvcInmJd8PjWk2eqP2hde1EWk3d15to2tY+trvsMfQ0cj4isXfexupCJjzRjtxhric1qm2Ks1fuHJUVFYDEZKHX4TzPaJ256nJa/p+5r2OQTL84WQZTFWC3MzDW9kLGR1WVJjdVEVH6pA7es6S21+66HpF/PUh+x6ft7sltN3vBUvc5KHVV17lGLyYDJICiucGEyCO+iokXl/kUUaMIwxupzP/l50bBbTN6Vyz02ebzHvr87T5oFZU5dGFbXU5TPpAZPXI/YTY2rKXZtlhbllFcoWhUnrODxPKQ83hBPA11bSPTPiMUgIEX3hlQ4tbEcULfRnT1OW9a+d2oMEUaD1xtS+yHZWfcGdYiP9HlDrtvoAvxxQg8m90vl3IHpRFvMepp13zSNBsGDU/pw8dAOddKsLSRGd0sCYHK/VKKtJq83xLPJqC/Th2ljyD0erKIKrSGPrFVPHq/V1pwSoq16A+Wn689oEN7xP3G2CKIijN6399q2j+me5P0erR/zrJ1UW0Se0UfLPzbSjN1q0oVZXbHZXRdu4LtfWN2GHGC0nn+VW2qNXoDr6fGYQbXgyStx+PWuTR/aEdDutzpeI590J/Zt7/3u6+Ep9XPtT9UFrKPKTZR+j5ZU1vUa9Umr7qKMtUXU8DLUvu89dkC1N8af4MlMjPL+Dmp4Liqr6gjt/ulx3u8ez6Wn7n2vky3C6F2gs1ocVPn1WvmKo5QYKwbhW0/Vx4QQ3vsr2mryfj9c4k+c1PRg2SKMlDmq/NaT7z3rEVzV9VTXa1Wnnvxcz3ifjW09aRaU1+12VSgU9eOEFTyDO8bxxwk9vO76wnJnjW0QPERZTFw1qjNn6eIAql3WtRvTcwels+mhSWQmRXkbXX8iCmDDA2ew9Lax3jfkQ4X+G91Ym5nnLhtMWlyk7uGpO8DXw4yTM3n0wv7YLfr4E10c1M4/PiqCTQ9N4urRnYm2mPQutboNOcA/zuvHur+d4e22OextoGo3ZlpX1aUjOmK3mHDre3tBze4fgEcu6I/VbKBHSrTmOamo21UD2nT7P53egwen9PE2LIHEybkD03nz2pM4b1A60VazLuLqeuwMBuEVhLWFYe16Gt5Z89xUOt0+DVTdcvo2ep7Vej1v+bXLOXt8VwAyEmy6h8fl17sWYzV7G7v2MVaEqPbweFZ59nDNGG2cSH6Z0ysAvJ4wn7rvkGDzrgMVp3c/lQWw6ez+qd7vnhlznsUafUVchMnASN1rFhdpJipC81r589j5etc8qz/789gJIRivizi7xeTjMawiwmjwDlgGbbyab53ZIgILLo8nLNpq9t6/nt9yzY1jq7soo61mbD7XvrYo98xQBB/BU1L3+ZCZFIVJn2lZwwvpx2s0qmu10PcKwwD3qEKhCJ8TVvAM6hjPrRO6YzYa9BWF/Xf/ANx3dm/OGZDmbUy8DaSfuJ4Ht0ec+Hvwase1h15MZPBGt8Y53u6nup6LmmlXj6sIVk4hhLebrPa4HA8GgyDWZsYWYcRoED4P3rpCYsvfJzHn3L7e7qfc4oo63T8A43u2Y/PDZ9Yc7+OsqiOMAG45rTszTs6sTtNrU037hRCM7JqIwSB8urT819N3fzmVH/56qh9hWGv8Voc47pucxf1Tenu7tPx5eAAW3ziKG8d19TaAgbre2sVY+frPp/DP8/tht5pwuSUFZQ6/3rW3rx/JzFGZdG9nJ8rTkPsRph0Tbfzp9B48dkH/OoKndtzJupBxS0mUxUhJZd2ZfABjuld7raJqpVlb7J6sd6cWlDu94qTcj9DvkFA9CN/rNSrx77E7LUsTPNtzS7BbTJQ5XPqq4YHLGRNpIspipKzS06VVM02PJ06Iapv8dfv6dlFGW03YI7T8tTFh/m2H6pXZ/Y3hsVtMDNO7SLVymrxeq9rlHNuj2qbUWsLQ37NEoVCEh3pdQO+HL6r79lobjzcmp6iizoDM2sTo433KnP6FRO00DxV6HvzB4prYe7QMk0GQFhc8HlSvJO1PSPjmX+HUdm4PFk8ITUh4u8n81JNnNo5voxvMdk9c77igIOMT7JZqERXaJhNH9PWC/ImTWJuZWJvZOzDUKwxrxRVCcLXuPfEdjOvPpgEd4hjQIc67EGEgwQHVY7x868lfvIx4G387p4+ev5GjpZ5uMv/CEOBDfbaYv24VgDsn9SLaauKsfqm8tXKv5mHyI6IiTAZuGt+No6WOul6jAF1/6XGR5BZX6oOG63rXfMepeMYo5QYQ5aN1IdMpUfOEuaXWTVg7nq/HRfPcmCgod/jt/pk6MJ35P+1md15ZtU0ldevJbjGREmMhp6hS9/BokwVK/YiosT2Sapznm2ZtcTKiS4J3VqJnXJI/D4+vTZ6uvdwA11OhUITPCevh8SXaag6rIfWdkVJ7Wri/uEf12SPBvDGegaSHvEIieP7F3kHDgdPUBkH6vr2G9gblhilOAomD2vFAa8yCxdPyNwcVB7XLGcxr5ZtmoC4tv2kWh+Fds5hwuNwUljuDxhNCEBVhDNj15ku1iAtd91ERprDqybfRrT37B7R74Y6JvYiymGp4rWp3kwHcPrEn/zi/n7fhDiSierWP4bPbxnLj+G7YLUbv7Cd/9fT1n0/hyYsGaB4t4b/7x2PHx7eM5tlLBvl0Z1b4/S3dc5Y2TbtdtAWbxVhdzlr3/eCOcXp5o711GMi7N66H5mFyud0+g6brepg8YwDBxxMWoMt7gj7OrWNiVE0vpJ/f58e3jGbOeX2xmIyYjcLvQGiFQlE/1OsC1PBcBHug+HbVhNOQe3Y3D68hD6PRtWqDlt0RwdM0GARRESbvwzxYY+rbTdclyR4wnqesgcam+Eszt7iixpTtQHE9K1mHKw5Cede8422c/htdD54GKbceIu5wcSVd2wWvpyiLyWcMTZD8fT08QYR27TSDltOn66/2LCl/ae7RF7IMV0QFyt+zfpDvoGnPrCVfuiTbvR6uKIuJnMLAv7s+abF6/ro4Ka70jsPx5dqxXbh8ZCesZiN2i8m7FUttD48QgpX3TCDCZGCvvg3J4ZJKIkwG7yrNHu6enEWUxciErBSWbz1CqUP38PjxWt03OYuCMif2iOr7Hur+7vqmx/LtHeNIj4vk+W92UKkLaN/1tnxt99iv/ZaVh0ehOF6UhwfNc5ITxgPF0/10pMRRZ0BmnTQjq8WB73TguvGqu8miLMYaOyzXyd+irbdSWOH0NmyBsFtN3kHD9qAeHk/+4XhjTN51VKKD2OQpW36Zk9jIEIJH94QBfhszDx5xkFdaSYzVFLQhj7aayC/TBqEHE1xGg+aN8YjN6CB16jtoOmQ9WarXsAlmk2fm2aGiitDX01K9NkvQetLv3/0F5d57K2CaESYOFlbgltULLfpN0yOKC/3PJKxdTtBsChbPE/egXk++g3/rxtPKtj+/POD1tOq/x6iI6mni/rpIk6Mt3vWCQPPG+OtGjo0087dztMHyURYjReUuHC43Nj8C9uoxXfjzxJ5e0ea59v5+d50SozAZDTXEbjBRDFp9+5vNplAo6ocSPFCjsfEMpvQbr8YU1LpvZb5EW83ePZIyEgLHjYrQXPtuCR3ibQHjaWlq+Ve5pd+3whpx9bJGmAwkB2lMYnxsT4kNvt+Or8jxnbZcN+/qeKHK6VunweJ64kkZRt1bTN5NGlPDsEnbjNQYXJzo9VTpcnu35whEVJj5exo9h8sd0ibf9WaSg+TvqaeSSpd337RA2CxG7xpAyUHimvWZUcX6oOFg48w8NpVWVtEuJkT++gJ/QFBh6hESLrcMaVOU3vUIBI3rSbO40kVikN+HJ03PNP9Ee+BymowGLCZt64rYSLNXhPnD8/ssc4SupyiLkUJ9s9tgwlShUARHCR6qG3Ihqhd58x+vunHu4jMdNlTcTomB42ozpcx6vFCCJzzB4Zt/h/jIoBsO+oq9zkHK6ZtmpLl6nRR/+HZPpNdL8AS2yWgQXs9KSBFlDV+YevJPj4sM6jWy10fEWavFZrAGqmY5g4so33oKpyEPFa92msFEMVR3DyVHW0J2k3movU1LoLjxNnOdLqVA5QwtNqvtDyo2I8Kve1+BF+51Ctd20Db7DZ6/FleImgtSKhSK+qEED9UPqZRoa9C3Mt9jnZOCiwNPN5bZKEI+/DxelnBFDITjDfKIqFAiprpBDmWTV0QlhBAHPuX0rCMSKq62fUR4DXR9RFRoD48WN5SI8W1Iw/VaaevnBBNRPuIgVKPnk38wb4xv3QeLp6VZ/7gpIQSH3aecKSE8Fx77w/GweAjpDfERMilBfnfa+Cbte6h7xLebO/R1MoUZr7qe0sL8jSTbLUGFoUKhCI769RC+4PAlXA9Pelxk0HE5WlxzWPl74hlE+A/J0F6j6od5ZkjBE145LSajd1BxuOIkPS64JwqqG5NQIsrXplANpN0reMKvp1Bxo8J8y69PF6nvKsHBRLlnVg+E4bWpMf05vLj1ERztQtjvERLhCl0I7bXyjNtJiIoIWk8Gg/AOFG8fphcQwvHcaGnWx2MX8trr9RQqTYVCERwlePB5gwrxMPelc8gZTeF5WADv4oMdw+xSSo2NrLHarD8qndo4hk718BqFEjKeh3THhNA2eeJmhClOQomIGmmGGr+k131iVIR3baBQ+YcWZvUflxTqLV9b2kD7nhpk7BjgnQEUqsGH6gYylNfG440xG0XQ8Uu++QfzmkD9urQ8+SfVwxMVSkR50gyVt2+6IT08PvUUatah1xNWj3oKJeCryxk8nkKhCI4SPIBBb3USbMEfZr6EavS8IiYMr1G4nhNPN1movAGOlmqzOjqF8Nr4CoJQIqraExY6f8+bbrgeng5hpFntNQtPmIXzRuwZYB3uuJyoEIOb65O/tmZPeHE9jV4ob0iNuKGERES1NySkd80anuCyH0M3WbDxYFBzbaxwBi1DaA8oVE+vD3e8TUqILkoIX+x64tkijN5nReC4utcohChWKBTBaTTBI4R4QAixXwixVv+c5XPsLiHEdiHEFiHERJ/wIUKIDfqxZ0Sop0sDkV+mTYsO9fbmS6i+9JgwRYwnrkGE31UTqpsKtCnhEDrN+uAVZmHkb7eaiLOZQ64bUu21Cd/DE1JEeTxhYdgebpeWp9FNjw8+fgnCf8sHzSajQYQcjGv3dimFkabHYxlmmuGIKE+jG3pGkT4uJyoi5G/E7hU8wdM06MsHQPgiLhyxG644qU+a4Y7h8RXF4d5PacrDo1AcF43t4XlaSjlQ/3wCIIToDUwH+gCTgOeFEJ5XuBeAWUB3/TOpkcsHwMgu2vLw43u1Cxl33lXDePEPg0PG65Roo296DKO6JYWMO7ZHEucPzgjpYYm2moi3memrb9QZjIen9qVvWgyZYXSpXTe2C09eNCBkvN5pMWQm2sLKP8ZqDtmdBdpGphCeMLRbTUSajTV2k/ZHtNXEvhdmUr5rTcg0fcdaBcNgEERZjGHZ9MvStzj65dywGsj8XxZT/sP8kOO8vGNowujSCrf7K6oeIsrT6IcetBy+2At3DA9oZY2LNIfsogxXcPjGDT1oObyxPlBd9+F6jcLxRHnLqTw8CsVx0RxdWlOBhVLKSinlTmA7MFwIkQrESCl/klJKYD5wblMUaHT3JDY/PImBHeJCxh3Xsx2T+qaGjBdtNfPRzWPonRYTMu7Ugek8EYbgMBkNfPuX8Vw2olPIuKO7J/HRLWNCiiiAu87K4oIhGSHj9UiJ5ps7xof0RgDceWYvHpzaJ2S87u3szL18CJP6tg8Z96IhHfjLpJ4h34hDecyWLVvG+PHjiY2N5YmZp/PnM3rU6FbZtWsX48ePx2az0atXL7788ksA+qfHMbxLIgsWLKBTp05ERUVx7rnncvToUe+5DoeDD1/7NzEjzicl1srWrVuZOnUqycnJJCQkMHHiRLZs2eKN33PcueSv/5rc3NygNnm6CEN5OKC6+yncgcihupR844by8FjNBgxhTp+O8o7hCZy/EILt27cTZTGFZ7suToKtp1Wdvwmr2dBgXZSeNCG04IkwaWsbheO1qc5feXgUiuOhsQXPTUKI9UKIV4QQ8XpYOrDXJ84+PSxd/147vA5CiFlCiFVCiFWHDx9ukIIGm9HRkoixmkN6A1oCgzvGM6RTQsh4QgjO6NM+rOm2I7smctWoziHjWc1GUmKsjO/p32MXFRXFzJkzefzxxzEZBDef2r2GiLrkkksYNGgQeXl5zJkzhwsvvJDDhw/z5qyTGJNUwXXXXcfrr79OTk4ONpuN2bNne89dvHgxfXtnMWvSUPqmxVJQUMCUKVPYsmULOTk5DB8+nKlTp3rj33l2f04/YyLz588PapM9TMGhxdW2WAhnbzQIU0R5u7RCj0uKs0WEJTjC7dLS4kTQIQwvYPeUaHq1j2Zwx/iQcVNirHRJsocU0LGRZoTQ1rQKRe+0GHq2jw5rgcD7Jmdx+cjQLy9dkqOIijDSJcR4PIVCEQIp5TF/gC+BbD+fqUAKYEQTVXOAV/RzngP+4JPGy8AFwDDgS5/wMcCHocowZMgQqWg4HnnkEZmWlibtdrvs0aOH/PLLL6WUUlZVVcl//vOfskuXLjIhIUFedNFFMi8vz3vehRdeKFNSUmRMTIwcM2aMzM7O9h77+OOPZVZWlrTb7TItLU0+/vjj3mNz586VXbt2lfHx8fKcc86R+/fv9x4D5AsvvCC7desm4+Li5OzZs6Xb7ZZSSrl9+3Y5fvx4mZCQIBMTE+Wll14q8/Pzved26tRJfvHFF0Ft/eKLL2SnTp1qhG3ZskVGRETIoqIib9jo0aPlCy+8IKWU8q677pKXXHKJ99j27dul2Wz2xr/qqqvkww8/HDDPvLw8CcgjR454w/73v//JcePGBTwnOztbjj/1NBkRFSOTktvJOXPmSCmlrKiokLfeeqtMTU2Vqamp8tZbb5UVFRVy/o875YX3vSTT09Plo48+KpOTk2X79u3l+++/Lz/++GPZvXt3GR8fLx986GE5+KHP5cfrD8j7779fXnDBBXLatGnSbrfLQYMGybVr13rL8MHXP8vO/YbJ2NhY2bt3b7l48WLvsRkzZsjZs2fLs846S9rtdtlnwGC5Ys1G7/FNmzbJCRMmyPj4eNmjRw/51ltvSSml3HqoSGaOPEtee9313nOHDx8ut2/fLqWUcsyYMRKQNptN2qKi5AuvzA9YR8dCUblD5hZVhBV35c48We5wNWj+4eJ2u6Wryt3g6QKr5HE8/9VHfVrbp2kygUwgW/9+F3CXz7HPgJFAKrDZJ/wS4D+h0laCp+HYvHmzzMjI8IqOnTt3ehufp59+Wo4YMULu3btXVlRUyFmzZsnp06d7z3355ZdlUVGRtxEeMGCA91j79u3l8uXLpZRSHj16VK5evVpKKeVXX30lExMT5erVq2VFRYW86aab5JgxY7znAXLy5MkyPz9f7t69WyYlJcmlS5dKKaXctm2b/Pzzz2VFRYXMzc2VY8aMkbfeeqv33GMVPO+9957s1atXjbAbb7xR3nTTTVJKKadMmSIfeeSRGsejoqLkqlWrpJRSDh06VC5atChgnu+//75s3759jbDVq1fL+Ph4v/GLiopk+/bt5RNPPCHLy8tlUVGRXLFihZRSyvvuu0+OGDFC5uTkyNzcXDly5Eh57733SimlXLZsmTQajfLBBx+UDodDzp07VyYlJclLLrlEFhUVyezsbGmxWOSOHTuk2+2W999/vzSZTPLtt9+WDodDPv744zIzM1M6HA7pcDhk165d5Zw5c2RlZaX86quvpN1ul5s3b5ZSaoInPj5e/vzzz9LpdMpLL71UXnzxxVJKKUtKSmRGRoZ85ZVXpNPplKtXr5aJiYleQRzsXCm1e2Dbtm0B61Nx7CjBoz4n2qfxEoZUn+9/RBu3A9pg5XWABegM/A4Y9WMrgZMAASwFzgqVjxI8Dce2bdtkcnKy/OKLL6TD4ahxrFevXl5vj5RSHjhwQJpMJul0Ouukk5+fLwFZUFAgpZSyQ4cO8sUXX5SFhYU14s2cOVPecccd3v+Li4ulyWSSO3fulFJKCcjvvvvOe/yiiy6S//znP/2W/f3335cDBw70/n+sgmf+/PlyxIgRNcLuvvtuOWPGDCmllKeeeqrX2+MhLS1NLlu2TEopZbdu3byirDZ79+6VaWlpcsGCBTXCt27dKg0Gg99zFixYUMMuX7p06SI//vhj7/+ffvqp155ly5ZJq9UqXS7NK1FUVCQBr1iSUsrBgwfL999/X0op5f3331/D7qqqM9X3FwAAIABJREFUKq9QXb58uUxJSZFVVVXe49OnT5f333+/lFITLVdffbX32Mcffyx79uwppZRy4cKFcvTo0TXKPWvWLPnAAw+EPFdKqQRPI6IEj/qcaB8hpTyuLrFACCFeBwYCEtgFXCelPKgfuweYCbiA26SUS/XwocA8IFIXPDfLEAUUQhwGdvsEJQFHGtKWFkBT2pQAJKNdgyK08VZOYJB+3Pd6GIAN+vF0IB4w63GMaN2blYANzYMXDZQDJcB+tJl4BYDvQKwBaAPZS4EhPmmA5il0AAcAE9ARsOt5AVQB6/Xv/dDuu+IgtkbraW7wCYvTbdnoE9ZB/7sX6KqXP8fn+CD9/wNAFnAIyK+VlwnoCeTpx32xAT2AtX7KmAJEob0Y1GYw8BtQof9vBXoDv+q2daa6PkCrzw1odYhensPAUSBNP983n35Uj6trD2zyOZau27SbmteFWnmn6HHdPucKtHrYE+JcT5l974HjRT0fqukkpUxu6MIoFC2W5lZcDf2hDb61NIdNQAzwJvC6/v8WYFSAuJejNYad0RqzODTR061WPDOat8+h//8y8JjP8Sg08ZSp/18jDTQx/Hefc98EEvX/zwX2+cTdBUwIYeMEYFetsB5oAiLaJ2w5cL3+/R/AGz7HuqA12L/q//8XuKdWmvHAGuCRAOW4DFgW4NglwJoAx3bg4wUFzvDYA4yrVR8mvT4zfcK+Rx9PBzwArPA5ZtDtGqN/DgEGn+MLgAdqX5faeevl/yLINQh4rr97oDX+lhr70xZtUh/1aYyPWmlZ4UUI0VMIcaoQwoLW6JejeU0AXgTmCCE66XGThRCe6UbRaG/geWjein/4pBkhhLhMCBErpXSieY08XqIFwFVCiIF6nv8AfpZS7gqjuNFonpYCIUQ6cEc97DQIIaxoAkwIIaxCiAgAKeVWNE/L/Xr4eUB/4F399DeAc4QQY4QQUcBDwHtUezA+AU7xySsGbZzaD1LKvwYo0iloHk1/fAS0F0LcJoSwCCGihRAj9GNvAvfq1yIJ+Bvwv3DrwQ9DhBDnCyFMwG1o12kF8DOax+0vQgizEGIccA6wMIw0PwJ6CCEu1881CyGGCSGywixTDpqoVCgUiuNCCR6FLxbgETT3+CGgHXC3fuxfwBLgcyFEMVpD6Gl456N1bexH62JZUSvdy4FdQogi4HpgJ4CU8ivgPjQxcRCtu2h6mGV9EK1LpxD4GE10hMtYNDH3CVq3WDnwuc/x6cBQtG6pR4ALpZSH9TJv1G14A8hFE16zfc79EOglhEjT/z8PbQbiVUKIEp9PRwBdeJ0FvOavoFLKYuB0NIFxCNgGjNcP/x1Yhdb9swGtK+vv9aiH2iwGLtbtvhzYIaV0SikdwBTgTLR743ngCinl5lAJ6uU/A61OD+g2PIp2r4XDA8BrQogCIcS0+pmjUCgU1TTaGJ7mQggxS0o5t7nL0ZC0NZvamj1Q0yYhxCygt5TytjDOuxnoIKX8S2OXMUQ5HkDrOvqDT1ibvk5thbZok0LRGLQ5waNQKOqPP8GjUCgUbQnVpaVQKBQKhaLNozw8CoVCoVAo2jxtxsMjhJgkhNgihNguhAg0G6bFI4TYJYTYIIRYK4RYpYclCCG+EEJs0/+G3iioGdH3TssVQmT7hAW0QQhxl37dtgghJjZPqYMTwKYHhBD79Wu1Vghxls+xFm2TEKKDEGKZEGKTEGKjEOJWPbzVXqcgNrXm62QVQvwihFin2/SgHt5qr5NC0Vy0eg9PUlKSzMzMbO5iKBQKRati9erVR6RaeFBxAmFq7gIcL5mZmaxataq5i6FQKBStCiHE7tCxFIq2Q6sXPApFS8HhcvPJhgN8mp3DkZJKyp1VDMiI44IhGQzp1KJ7IU9ICsudOFxukuwRCCGauzgKhaKRUYKnFVFa6WJXXilVbknHBBtxtojmLpJC553Ve3lk6WaOlDhoF20hPS4SW4SR99fsZ8Eve5gyII1/nN8Pu0X95JqTb7ce5r/f/c7avQUUV7gAiI00c0qPZK4Z05n+GXHNXEKFQtFYqKdvC8ftlny0/gAvf7+TDfsLcfsMuerVPpoZJ2cybWgHjAb1htoclDlc3PXeBhavPcDADnE8ftEATumejEG/HiWVLv7z7Q6eW7adtXsLeOXKoXRrF93MpT7x2Hu0jL8tzmbZlsMk2y2c2bc9XZLtRBgNrN1bwFebc1iy7gAXDcngwal9sEWoR6NC0dZo9YOWhw4dKtvqGJ79BeX8edFaVvx+lMxEG2f1S6Vveiwmg2BLTjEfrz/I5kPF9EmL4ZlLBtE12d7cRW6TOJ1O9u3bR0VFRY1wt5QcKa7EWSWJtpqItpoJ1DNS6ariaIkDBCTbLZiMbWaCZIun3FlFfqm2QXy01YTdYqrTheWWkuIKFyUVLkxGQZLd0mZeIqxWKxkZGZjN5hrhQojVUsqhzVQshaLJUYKnhfLt1sPMfmM1UsI9k7O4ZFhHr9fAg5SSD9cd4N7F2VS5Jc9fNoRTeqhJFw3Nzp07iY6OJjEx0dtQVrnd7DxSSrnDTcdEG7GR5hCpQIWzih2HSzAIQddkOxEmJXoam6OlDvbnl2E1G+mUaCPCZAwav7jCye68MiJMBromR2E0tO5rJKUkLy+P4uJiOnfuXOOYEjyKE43W/Wtuo3y28RDXvLaSjDgbn902lstGdKojdgCEEEwZmM6nt44lI87GNa+t5PttR5qhxG2bioqKGmLHLSW78srqJXYArGYjXZKicLslu/NKcbfyl42WztHSSvbllxFlMekCM7jYAYi2mumUaKPS6WbXkbJWf42EECQmJtbxTioUJyJK8LQwPs0+xOz//UpWagyLrhtJhwRbyHPS4iJZdN1IOidFce38VazZk98EJT2x8IgdKSUH8ssprXSRkRAZttjxEBlhIiMhknJnFTlFqhFqLArKHOzLL8duMZGZGOX3hSEQ0VYzGQmRlDpcHCwob8RSNg1qBppCodEggqehVtYVQgzRVxneLoR4Rpxgv9TVu49y68I19E2PYcG1JxFrC78xjbWZ+d/VI0iyR3DVqyvZ3wYe1C2RvFIHR8u0mVjxxzhLLjYygoSoCA4XV1Jc4WzgEipKK13szS/HFlF/seMh3hZBkt1CXqmDwnJ1jRSKtkBDeXjmAZNqhf0V+EpK2R34Sv8fIURvYDrQRz/neSGEx9f8AjAL6K5/aqfZZvn9cAkz562ifYyVV68afkzTl9vFWJl/9QicVW5m/281rip3I5T0xKW00sXBggpirGZSYqzHlVZabCQWk5F9+eW43a2726QlUemqYldeKRFGA5mJtmMSOx7ax1qxmo3szy/H5Va/JYWitdMggkdKuRw4Wit4KvCa/v014Fyf8IVSykop5U5gOzBcCJEKxEgpf5LaSOr5Pue0aYornFz92iqEgPlXDych6tjX1+mcFMUjF/Rn3b5CXvru9wYs5YmNq8rNnqNlmI2CDgmRx91NYDAI0uMjcVa5yS2ubKBSNi/jxo3zu+r5v//9b7p164YQgiNHqseYSSm55ZZb6NatG/379+fXX3/1Hvv000/p2bMn3bp145FHHqmR3m233cby5csBuOyyy+jZsyd9+/blqquuYsehQgB++/lrHn7owYBl/eCDD3jooYeC2mMQgoz4SKrcbg4VNkz347x58zhw4ID3/8zMzBp1Ul9863zChAnk56vubIUiEI05hidFSnkQQP/bTg9PB/b6xNunh6Xr32uH10EIMUsIsUoIserw4cMNXvCmxO2W/GnROvbklfHCZUPolBh13GmeMyCNiX1SePqLbew4XNIApTyxkRL25pfjcks6JdoabOaO3WIizhbB4ZJKKp1VDZJmS2TUqFF8+eWXdOrUqUb40qVL2bZtG9u2bWPu3LnccMMNAFRVVXHjjTeydOlSfvvtN958801+++03AI4ePcqKFSsYO3YsoAmezZs3s2HDBvKLSlkw/1U6xNs4d8oUlixZQllZmd8yPfbYY8yePTtk2W0RJpLsFo6WOiipdB1PNQB1BU9Dcvnll/P88883StoKRVugOVbX8vdqLIOE1w2Uci4wF7Rp6Q1XtKbnuW+288VvOdw7OYuRXRMbLN2Hz+3LhCe/5Y631/HO9Scfl2v/RKek0omrwkl6XCSPfbaF3w4UNVjaEmgfY+WPp/egc5J/sVtaWsq0adPYt28fVVVV3HfffVx88cWsXr2aP/3pT5SUlJCUlMS8efNITU3lpZdeYu7cuTgcDrp168brr7+OzWbj7bff5sEHH8RoNBIbG8vy5cupqKjghhtuYNWqVZhMJp566inGjx/PvHnzvIJhx44dnHfeeTz22GMA3HDDDaxcuZLy8nIuvPBCHnwwsCcFYNCgQX7DFy9ezBVXXIEQgpNOOomCggIOHjzIrl276NatG126dAFg+vTpLF68mN69e/POO+8waVJ1T/dZZ2kbnxeWOejedyBFeTnE6APJx40bx0cffcS0adNq5Lt161YsFgtJSUkAfutl3rx5fPDBB1RVVZGdnc1l19xIlcvJpx8swmKx8Mknn5CQkMDatWu5/vrrKSsro2vXrrzyyivEx8f7Df/qq69YtWoVl112GZGRkfz0008APPvss3z44Yc4nU7efvttevXqRWlpKTfffDMbNmzA5XLxwAMPMHXqVMrLy7nqqqv47bffyMrKory8eqzelClTGDNmDPfcc0/Q66FQnKg0pocnR++mQv+bq4fvAzr4xMsADujhGX7C2yzfbMnlqc+3cs6AVK4e3Tn0CfWgXbSV+87uza97Cli8bn+Dpn0isXr3UYrKXcRGmo+rqzEQArBFGCmucAb0IHz66aekpaWxbt06srOzmTRpEk6nk5tvvpl33nmH1atXM3PmTG9Dd/7557Ny5UrWrVtHVlYWL7/8MgAPPfQQn332GevWrWPJkiUAPPfccwBs2LCBN998kxkzZninMK9du5a33nqLDRs28NZbb7F3r+aYnTNnDqtWrWL9+vV8++23rF+//phs379/Px06VD8KMjIy2L9/f8BwgB9++IEhQ4bUSKfSVcXO3CI+eX8RF0w92xs+dOhQvvvuuzr5/vDDDwwePNj7v796AcjOzmbBggX88ssvPPPYwxgjLHz9w8+MHDmS+fPnA3DFFVfw6KOPsn79evr16+cVf/7CL7zwQoYOHcobb7zB2rVriYyMBCApKYlff/2VG264gSeeeMJbx6eeeiorV65k2bJl3HHHHZSWlvLCCy9gs9lYv34999xzD6tXr/aWNz4+nsrKSvLy8up5JRSKE4PG9PAsAWYAj+h/F/uELxBCPAWkoQ1O/kVKWSWEKBZCnAT8DFwBPNuI5WtWdh0p5eY319A9xc5jFwxolKmjFwzOYN6Pu3h06RbO7JuK1Rx6HRJFNQVlDm5asIZ/jE8gI14bt3P/OX0aPB+3W7Ilp5hDheV0TbbXuRf69evH7bffzp133snZZ5/NmDFjyM7OJjs7m9NPPx3QuoFSU1MBraG+9957KSgooKSkhIkTtYmQo0aN4sorr2TatGmcf/75AHz//ffcfPPNAPTq1YtOnTqxdetWAE477TRiY2MB6N27N7t376ZDhw4sWrSIuXPn4nK5OHjwIL/99hv9+/evt93+Fj0VQgQMBzh48CDJydWLa7qlZE9eGX+/58+cOu4UTtG7ugDatWvnt/uodhr+6gVg/PjxREdHEx0dTVxsLBPPnMyhwgr69OlLdvYGCgsLKSgo4JRTTgFgxowZXHTRRQHDA+HJc8iQIbz33nsAfP755yxZssQrgCoqKtizZw/Lly/nlltuAaB///516t1jc2Jiw3mLFYq2QoMIHiHEm8A4IEkIsQ+4H03oLBJCXA3sAS4CkFJuFEIsAn4DXMCNUkrPAIYb0GZ8RQJL9U+bo6TSxdWvrcQoBC/PGEZkROMIEYNBcO/k3lzy0gpe+X4ns8d3a5R82iJSSu54ez2HiytJiIpo1BV3DQZBSoyVffllFFU4iY2s6Unq0aMHq1ev5pNPPuGuu+7ijDPO4LzzzqNPnz7ebhFfrrzySj744AMGDBjAvHnz+OabbwB48cUX+fnnn/n4448ZOHAga9eu9SsuPFgsFu93o9GIy+Vi586dPPHEE6xcuZL4+HiuvPLKY17ULiMjw+s1Ati3bx9paWk4HA6/4QCRkZE18jtYWMHTj/2D8qJ8/vX6qzXSr6io8HpRfImMjKSwsND7v796qW2/wWCgQ1IsRVVuypxuXK7jH8/jwZOPp45Bu//effddevbsWSd+sJejQDYrFIqGm6V1iZQyVUppllJmSClfllLmSSlPk1J21/8e9Yk/R0rZVUrZU0q51Cd8lZSyr37sJtna973wg9st+ePCtew6UsZzlw0Oa2HB42Fk10RO69WO55ZtJ6+kbcwGagrm/7SbLzblcOeknk2yBUS8zYzFZORQYWUdEXLgwAFsNht/+MMfuP322/n111/p2bMnhw8f9goep9PJxo0bASguLiY1NRWn08kbb7zhTWfHjh2MGDGChx56iKSkJPbu3cvYsWO9cbZu3cqePXv8NrIeioqKiIqKIjY2lpycHJYuPfZ3kilTpjB//nyklKxYsYLY2FhSU1MZNmwY27ZtY+fOnTgcDhYuXMiUKVMAyMrKYvv27YDmgXvppZf45btlvLPoLQy1ROnWrVvp27dvnXx90whUL/6wW03EWM0UVThxS0lsbCzx8fHebrPXX3+dU045JWA4QHR0NMXFxSHrZuLEiTz77LPee2HNmjUANa5XdnZ2je5EKSWHDh0iMzMzZPoKxYmIWmm5iXnmq218sSmHu87qxahuSU2S511nZVHhdPN/X25rkvxaO9n7C/n7x78xrmcy14zp0iR5CiFoH2uh0lVFQa2F7jZs2MDw4cMZOHAgc+bM4d577yUiIoJ33nmHO++8kwEDBjBw4EB+/PFHAB5++GFGjBjB6aefTq9evbzp3HHHHfTr14++ffsyduxYBgwYwOzZs6mqqqJfv35cfPHFzJs3r4ZnozYDBgxg0KBB9OnTh5kzZzJq1KiQtj3zzDNkZGSwb98++vfvzzXXXANoA467dOlCt27duPbaa70zjEwmE//+97+ZOHEiWVlZTJs2jT59tK7EyZMn880331DprGJffjl/v+tP5OcdZuTIkQwcOLDGVPNly5YxefLkOuUZO3Ysa9as8YoJf/USiPaxVpBQ5tCc0q+99hp33HEH/fv3Z+3atfztb38LGn7llVdy/fXXM3DgwBoDjmtz33334XQ66d+/P3379uW+++4DtAHjJSUl9O/fn8cee4zhw4d7z1m9ejUnnXQSJpPa6V2h8IfaPLQJee/Xffxp0TrOG5TOU9MaZ9xOIO79YANv/ryXz/80Vu2qHoSSSheTn/mOMkcVn902loSoCDZt2kRWVlaj5y2lZFtuCW4p6ZkSrbYECMDo0aP5v1feJNIeQ/d20X49cDk5OVx66aV89dVXftO49dZbOeecc5gwYUK989+XX0Z+qZMe7e1Ywtifq6m49dZbmTJlCqeddlqdY/7uYbV5qOJEQ3l4mogfdxzhL++sZ3hmAo9c0K/JG7PbJvTAajbwz082NWm+rY1739/A3qNlPHvJoEaZlRUMIbSxPA6Xm/wytZ2BP6SU3PG3OezavZuOCbaA3Y179uzhySefDJjO3XffHXCNnlCkxFgRAnKKWlYXcd++ff2KHYVCoaEETxOwNaeYWfNX0ynRxktXDG2Wt8Iku4XZ47vx5aZcfv5dTVv1x+s/7eKDtQe4+dTunNSl5iyXpvKExlhNRJqN5BZXNFmerYkjJZV07j2AMSOGEm0NvNfcsGHDGDhwYMDjKSkp3nFB9cVsNJBoj6CgzEF5C1ow8tprr/Ubru4jhUJDCZ5GZn9BOTNe+QWL2cBrM4fXa0PQhmbmqM60i7bwyNLN6iFYi2Vbcrl/yUbG9UzmltO61zhmtVrJy8trkjpTXp7AFFU4OVRYQWykmXbRgccZNQXJdgtGgyCngbacaCyklOTl5WG1Ht/ebwpFW6DFjW4TQkwC/gUYgf9KKR8JcUqLJaeogun/+YniChcLZ51ERnzjzsgKRWSEkdsm9ODu9zfw1aZcJvROadbytBSy9xdy4xu/0iMlmucuHYyx1qrUngG3TbmNSX5RBXn7ICXGosbyAA6XmyMllRgNAkO0hc25zV8npRVODpS7KDhowdIEM/mOFavVSkZGRuiICkUbp0UJHn3X9OeA09FWXl4phFgipfyteUtWfw4UlHPZf38mr9TB/64ZQd/02OYuEgAXDc3gP8t38Oinmxnfq12dxv1EI3t/IZe+tIIYq5lXrxpGlJ9d6s1mM507N+xK2KE4uDmHmfNW8cj5/Zg+vGOT5t3S2HyoiMtf/InYSDPvzj6ZdtEtw1tR5nAx9rFlZCZF8fZ1I5UwVShaOC3ttWQ4sF1K+buU0gEsRNtdvVXx6558znn2e3KLK3j1ymEM7hjf3EXyYjYauP2MnmzLLWHJCb7lxOrd+Vzy0grsFhNvXz+S1NiWs2Db+J7t6J8RyzNfb8Phcjd3cZqNX3YeZfrcFVjMRhZce1KLETugbSx6y6ndWbUrn2+2tu5NjBWKE4GWJngC7aReg5a6W7qzys2L32xn+n9WYDUb+WD2KEZ0aXlLvE/ul0pWagxPfr71hGxMpZTM/3EXF//nJ+IizSy6fmSjLwBZX4QQ/PH0HhwoqOCd1fuauzhNjpSSRSv3cOlLK4iNNLPoupZ3jQCmD+9IRnwkj326GbdbjYtTKFoyLapLizB3TG+o3dIrnFUcLKwgr6QSg0FgNhiIMBloH2slNjL8wcVut+TTjQd5dOkWdh8tY3zPZJ6cNrDJpzWHi8EguHNST658dSULV+7hipGZzV0kvxRVOMneX8hvB4rYl68t0tYuxkKHeBt90mLITIyq9y7wu/NKefijTXy5KYex3ZN49pLBzTqQPBjjeiQzQPfyXDAkvUWt+dKY5BZXcM972XyxKYcRnROYe/nQFnuNIkyax/S2t9by0YaDTBmQ1txFUigUAWhpgifQTuoNzovf7uCRpZsDHrdbTKTHRdIhIZKOCTY6JUbRLtqC3WrCbjHhrJIcKChj9e4CPtt4iNziSjonRfHSFUOYkJXS4vvzT+mRzLDMeP711TYuHJKBLaJl3AquKjcfrjvAu7/uZ8Xvebj0t2ar2YCUUOnjkbJFGOmZEk3f9Fj6Z8TSJy2W7il2zMaajssyh4ufdx7ljRW7+XpzLhEmA3+Z2JPrT+lab8HUlAgh+PMZPbnilV9YtHIvl7cwYXq01MF3Ww/z/Y4j7DtazuGSSqrcErNRkBhloWOijcxEG5mJUXRMtNExwRZ0Kvn+gnJe/WEnC3/Zi8Pl5s5Jvbh2TGdMxpbmiK7JlAFpPP/Ndp74bAtn9m1f5/5TKBQtgxa10rIQwgRsBU4D9gMrgUullBsDnXOsKy2v3n2U77YdIT0uknYxVqSUOKskFU4X+/LL2Z1Xxt78MvYdLedgYTmOKv/1FGE0cHK3RM4dmM7Z/VNb/MPZl9W787nghR/58+k9uLnWVOymRkrJ4rX7efLzrezNLyct1sqZ/VI5pUcyWakxJEdbkFJS6qhid14pG/cXsm5fIdn7C9maU+JdD8VsFHRNtpMaa6XS5Sav1MGO3BJcbkmM1cSlIzpx1ahMUmJazliQYEgpufDFn9hztIzv/jK+Rex4v2FfIc8t287nvx3CLSHaaqJjgo120dpUbWeV5HBxpb4Zas1NNmMjzXSIj6RDgo32sVbcbm116e25JeQWV2IQcHrvFP4yqVerWhH8a32Q+Zzz+nLZiE7NXZywUCstK040WpTgARBCnAX8H9q09FeklHOCxW+KrSXcbsnhkkqOljooqXRRUunCIARpsVYy4m2Nttt5UzBr/iq+23aEb+4Y12wi4EBBObe/vY4fd+TRMyWaP5/Rg9N7h+8lq3JLduWVkr1PE0GbDhaRW1xBpNlInC2CXqnRjO2ezPDOCS1CMNSXFb/nMX3uCu6dnNVke3v540hJJQ8s2chH6w8SZTEyfVhHzhmQRr/02ICz/QrLnew9WsbuvFJ2HillV14Ze4+WsS9f8wgZBHRMsNEjJZreqTFMGZjW7Ms3HAtSSi544Uf2HC3j69vHERPEk9VSUIJHcaLR4gRPfWlNe2m1RPbklXHaU99wdv80nr448Mq0jcVnGw/xp0VrqXJL7jqzF5eflNmiu5mai0tfWsHmg0V8d+epfqfONzYfrT/A3e9toNxZxXVjuzLrlC6tolFvStbvK+Dc537gshGdePjcuru0tzSU4FGcaLSe/hdFo9Ax0cbVozvz/pr9rNmT32T5ut2Sp7/YynWvryYzMYrPbzuFGSd3VmInALdP7MnRMif/+XZHk+brrHLz4IcbuWnBGjKTolh66xhun9hTiR0/9M+I4/KTMvnfit1N+ltSKBThoQSPgptO7U6SPYJ7P8jGVdX409QdLje3LFzDv77axnmD0nn3hpPpmNj6ujGaksEd45ncL5X/LP+d/QXlTZJnSaWLK17+hVd/2MUVIzvxzvUn061ddJPk3Vq5fWIPkqMt/PXdDTib4LekUCjCRwkeBXaLiQem9GHjgSJe/n5no+ZVXOFkxiu/8NH6g/z5jB48NW1AqxxX0xzcPTkLgEeaYMf7IyWVTHvxJ37ZeZTHLujHQ1P7BtyZXFFNtNXMw+f2ZUtOcaP/lhQKRf1QTzAFoC1GOCErhae+2Mrvh0saJY/c4gou0hvRJy7sz82ndm/x0/dbEulxkcwa24UP1x9k5a6jjZbPnrwyznv+B3YcLuGlGUOYNuzE3tqivkzs057TstrxdCP+lpxVbv7xySYOFjaNt0+haAsowaMAtDVf/nGe9hb/57fXNXjX1s4jpZz73A/szivj5SuHcuHQDqFPUtThhnH0+Lb4AAAa+0lEQVRdSY21csfb66jQp+I3JBsPFHLe8z9QVO7izVkncWovtcHssTDn3H5YzUZufnNNg69mXlju5A///Zm5y3/ny025DZq2QtGWUYJH4aVdjJW/n9uXNXsKePLzLQ2W7rq9BZz3/A+UOapYOOskxvVs12Bpn2jYIkw8fuEAduWVNeg1Avhh+xGmvfgTZqOBd28Y2aL2gGtttI+18ugF/dl4oKhBr9PuvFLO/ff3rN6dz6MX9OPyk1rHmj8KRUvguASPEOIiIcRGIYRbCDG01rG7hBDbhRBbhBATfcKHCCE26MeeEXqfhhDCIoR4Sw//WQiReTxlUxwbUwemM31YB1749neWbTn+t8dvtx5m+twVREWYeH/2KAZ0iGuAUp7YjO6exCXDOvDf73ayenfDdG0tXrufGa/8QmpcJO/fqAYnNwST+rZn2tAM5i7/na825Rx3ej9uP8I5z35PXqmD12cO52LV1ahQ1Ivj9fBkA+cDy30DhRC9gelAH2AS8LwQwjMy9QVgFtBd/0zSw68G8qWU3YCngUePs2yKY+SBKX3okWLnljfX8NuBomNO551Ve5k5byUdE2y8f+PJdE6KasBSntjcc3Zv0uKs3LRgDfmljmNOR0rJf77dwa0L1zKoYxzv3nByi9o1vrXz4JS+9E6L4cYFv7JhX+Exp/P6T7u4/JVfSIiK4MObRzOyW1LDFVKhOEE4LsEjpdwkpfTnr50KLJRSVkopdwLbgeFCiFQgRkr5k9RWPJwPnOtzzmv693eA04Qa0dosWM1GXp4xDFuEkcv+u4LtufUbeOmscvPAkmxuf2c9wzrF8/YNI2kX3Tq2cmgt2C0mXvjDEI6UVHLN/FWUOVyhT6qFs8rNXe9t4J9LNzOpb3tev3pEvTbNVYQmMsLIq1cNI94WwVXzfmF3Xmm9zi8oc3Dzgl+5b/FGTu6SyJKbR9MpUb04KBTHQmON4UkH9vr8v08PS9e/1w6vcY6U0gUUAon+EhdCzBJCrBJCrDp8+HADF10B0CHBxoJrT0IIwfS5P5G9P7y30915pVz8n5+Y9+Nurjw5k9evGaEWqWsk+mfE8fTFA1mzJ59rX1tVr0HMuUUV/OG/P7Nw5V6uP6ULz186WC0P0Ei0i7by2szhOKrcnP/8j6zfVxDWeV/+lsOEp77lk+xD3Di+K/NmDle/JYXiOAgpeIQQXwohsv18pgY7zU+YDBIe7Jy6gVLOlVIOlVIOTU5ODm6A4pjpmmxn4ayTMBkMXPDCj7z2466As7ccLjevfr+TSf/3HVtzSvi/iwfwwJQ+aufoRubs/mk8dkF/ftiRx8x5KykoC969JaXko/UHOP3p5azZW8ATF/Xnr2dmqRWuG5keKdG8e/3JmI3ab+nZr7cF9Mpl7y9k5ryVXDN/FXGREXww+2TumNgr4H5lCoUiPEJuyiOlnHAM6e4DfOcdZwAH9PAMP+G+5+zTd02PBRpvsRFFWPRIiWbJzaP448K13L9kI3OX/86FQ9IZlplITKSJg4UV/Px7Hh+uO8jhkkpGdU3k8YsGkBanxoE0FRcO7YAE7npvA2c8vZx7zspicv9UTD5i01Xl5uvNuTz79XY27C+kb1oM/7pkUKvakby10z0lmk9uHcNf3lnHk59v5fllOzgtqx3DMxOwWYzsyStn+bbDrN1bgN1i5JZTu3Hjqd2wmJTnTaFoCBpk81AhxDfA7VLKVfr/fYAFwHAgDfgK6C6lrBJCrARuBn4GPgGelVJ+IoS4EegnpbxeCDEdOF9KOS1U3mrz0KZBSsnnv+Uwd/nvrN5dc58gk0EwqlsiV4/uwpjuSWoxwWZi3d4C7nhnHVtzSoiLNDOwYxxxkWaOlDjYsL+QwnInaXGRXD+2C5eM6Ki8b83Iql1HefOXPXy2MYeSympPT9dkO1MGpHLV6M6N3n2lNg9VnGgcl+ARQpwHPAskAwXAWinlRP3YPcBMwAXcJqVcqocPBeYBkcBS4GYppRRCWIHXgUFonp3pUsrfQ5VBCZ6m52ipgy2HiimtdJFoj6BX+xgiI9RbaEugyi35enMuH647QPaBQkoqXMTZzGSlxnBm3/ZMyEqp4flRNC+uKjeHSyqpcLpJtEc06RgdJXgUJxoN4uFpTpTgUSgUivqjBI/iREO96ikUCoVCoWjztHoPjxDiMLDbJygJONJMxWks2ppNbc0eUDa1FpRN1XSSUqpprooThlYveGojhFjV1ty0bc2mtmYPKJtaC8omheLERXVpKRQKhUKhaPMowaNQKBQKhaLN0xYFz9zmLkAj0NZsamv2gLKptaBsUihOUNrcGB6FQqFQKBSK2rRFD49CoVAoFApFDZTgUSgUCoVC0eZpM4JHCDFJCLFFCLFdCPHX5i7PsSKE2CWE2CCEWCuE8OxNliCE+EIIsU3/G9/c5QyGEOIVIUSuECLbJyygDUKIu/TrtkUIMbF5Sh2cADY9IITYr1+rtUKIs3yOtWibhBAdhBDLhBCbhBAbhRC36uGt9joFsak1XyerEOIXIcQ63aYH9fBWe50UimZDStnqP4AR2AF0ASKAdUDv5i7XMdqyC0iqFfYY8Ff9+1+BR5u7nCFsGAsMBrJD2QD01q+XBeisX0djc9sQpk0PoG2aWztui7cJSAUG69+jga16uVvtdQpiU2u+TgKw69/NaJsun9Sar5P6qE9zfdqKh2c4sF1K+buU0gEsBKY2c5kakqnAa/r314Bzm7EsIZFSLkfbANaXQDZMBRZKKSullDuB7WjXs0URwKZAtHibpJQHpZS/6t+LgU1AOq34OgWxKRCtwSYppSzR/zXrH0krvk4KRXPRVgRPOrDX5/99BH/QtWQk8LkQYrUQYpYeliKlPAjaQx1o12ylO3YC2dDar91NQoj1epeXp1uhVdkkhMgEBqF5D9rEdaplE7Ti6ySEMAoh1gK5wBdSyjZznRSKpqStCB7hJ6y1zrcfJaUcDJwJ3CiEGNvcBWpkWvO1ewHoCgwEDgJP6uGtxiYhhB14F7hNSlkULKqfsNZiU6u+TlLKKinlQCADGC6E6BskequwSaFoDtqK4NkHdPD5PwM40ExlOS6klAf0v7nA+2ju6BwhRCqA/je3+Up4zASyodVeOylljt4YuYGXqO46aBU2CSHMaMLgDSnle3pwq75O/mxq7dfJg5SyAPgGmEQrv04KRXPQVgTPSqC7EKKzECICmA4saeYy1RshRJQQItrzHTgDyEazZYYebQawuHlKeFwEsmEJMF0IYRFCdAa6A780Q/nqjafB0TkP7VpBK7BJCCGAl4FNUsqnfA612usUyKZWfp2ShRBx+vdIYAKwmVZ8nRSK5sLU3AVoCKSULiHETcBnaDO2XpFSbmzmYh0LKcD72nMbE7BASvmpEGIlsEgIcTWwB7ioGcsYEiHEm8A4IEkIsQ+4H3gEPzZIKTcKIRbB/7d35tFWFVce/n4yGkFUHFGEdoxiHOJyjKZZMdEYte3YRMUpmpiliXOwndoYQhC1o4lDVqILW3GCoETNCnHuCA7BpNWAxjkiiIJEUJQng6C7/9j7Qr3z7rnvvgHhvdS31lvv3lN1q3ZV7V1n16669/AisBw4zcw+WS2C16CkTYMl7YpvGcwAToEO06YvAccDz8f5EICL6NjjVNamoR14nDYDbpHUBV+g3mlmEyVNoeOOUyazWsiPlshkMplMJtPp6SxbWplMJpPJZDKlZIcnk8lkMplMpyc7PJlMJpPJZDo92eHJZDKZTCbT6ckOTyaTyWQymU5PdngymUwmk8l0erLDk8lkMplMptOTHZ52QNKJkp5op7Ik6WZJ70v6i6T9Jb3SHmWvTiQNl3T76pajpUi6X9K3m8+ZqYWkGZK+urrlqBdJYySNXN1ydFQkNUjaanXL0RySBkoySV3jfSN7lzRS0jxJ78T7b0qaFe3b7TOS8XpJP2qPvJIuknRjnWWtsIFVdR+SdKykh9q73DLWWIcnJsi58YiFyrWTJU2q8/OTJJ3cTrK8EAreIOkTSUuS9xe1Rx0J+wFfA7Ywsz3N7HEz2741BdXjZEg6XdLTkpZKGlNI6y5pQoyFSRrcGjk6CtX6y8wONrNbVpdMaxIdzWlZE2nPxdGajJn1MrPp7V3uqu6/1N4l9QeGATua2aaR5Urg9GjfX1eVHAWZTjWzn7Y0r6TB8avwafooM2vxfbEt96EKRecyyr3DzA5sS7ktYY11eIKuwFmrWwgzGxQK3gt4nJUK38vMRrVzdQOAGWb2UXMZU8VpA7OBkcBNJelPAMcB77RDXauUduqPDkNEA9d0G850QLJuAT4Xz48HOafXOuJjizIAZrZG/uHPvLkAeA9YL66dDExK8uyLPzj0g/i/b1y/FPgEWAI0AL+M658HHo4yXwGObIVck4CTC9dOxB2DK4H3gTeAg5P0PvhDDecAb+MORpcqZX83ZP4k5P4J/vymtwr9cj7wHLAUdwrPj3IXRrsOwJ+o/DGwLMqa1ky7RgJjaqS/BQxupox++MML3wP+DnwvSRsOTADGh5zPArsk6U3aENfXCj14HZgP3AlsEGkD8ecjVZ4n9BjwAO6QpnJNA46I19cAs4APgWeA/eN61f5KxztkuRiYiT+d+lagT0GWb4cs84D/SmTYE3g66p0L/LykD9cHJgLvhi5NxKN9qf5dCjwJLAa2oQV6HZ//aXx+IfAQsGGS/m/4hF55MvcOcf024NOoswE4r0rZG4a8C0KWx4G1Er09F9fbD0IPeiaf/R6uM+/hOtQvrv8EuC5edwM+Av473q+N28v6zfV/HXa9G66TC0O23wAjU/su5Ddgm3jdA7f9N2NsrwfWrlLHDjS27wXJ/HBrjPlMXMfWKpFzT2BK9PEc4JdA94JcZwLTow9+lozBiTHu18UYvEzYWQ3dKptjj4o61o33B+OLoo2q9M8Y4FfA/dHuJ4FNgatxHX8Z2C2Ro2LvC/Fngn2zmf6rq/8jb5fIOy/kPy1k7ZraO/6Q1sW4zjcA4+K/4Tr4erGdSVsrelPLHvoBv40xfwM4s4ZupmUOxufiYfgcNAc4qZgXWKcgf0PUORy4Pcl/V4zbB/j8OahWvcnYNyR/S4n7MnAI8Fd8npsFDE/KezP6q/K5fSjYFiX6Vs/cVZedtyTzZ/mHT5BfBe5OOn2FwwNsgBvL8fhNf2i875sqblLeOjEAJ0X+L+JKPyjSjwGeq0OuRuUmE8kyfNLuAnwfj5xUnlV2L3BDyLAx/vTiU0rKLyrACkVL+mUq0B+f8LePdlVuEAOBreN1I+Vupl3t4fBMxie2nsCuuDEfkMiyDBiC37jOxQ29WzNtOBt4CtgCn9huAMYl+Qy/WawT/XEC8GQi0474hNMj3h8H9A0dGIYbe8+y/qKxw/Md/Ka8FdAL183bCrKMDjl2wSeCisMwBTg+XvcC9i7pw77AfwCfA3rjE9K9BXneBAZFG/pQQ69L9Pd1YLuQcxJweaRth0/mX4txOS/a2z21yRrjfxl+s+kWf/uz0gZm4HrfD7fdl4BTI+0rIfMXY4yvAx5L0p6P1/uG7H9O0qbV0//N6G133NE4J+QegutqvQ7P1biTtkGM2e+By+qx77h2K/60897RjleB75Z8fndg7xjrgdGPZxfkejRk2TLKOjmpe3nSzqPwG0tlATGJxrq1CbXn2Dvwm2JffL47tKR/xsT47o7PDX/Ebf8EfL4cCTyafPZboSdrhYwfAZvV6L+W9P+puIPVP/I/ShWHp9rcW2xXyfsxrNSbqvYQ7XoGuATXva1w5+ugEpnTMgfHGI6IMr8BLALWL8lblH84jR2e70Sf9Yh+nFqj3reqyLYuroOnJPm+EG3cGXdA/71go12r2QP13dOrzl31/nWEkOUlwBmSNipcPwR4zcxuM7PlZjYOV+TDSso5FN8qujnyP4t72EMAzGysme3cBjlnmtlo8ycT34I/5XgTSZvgq5+zzewj8/DoL4Cj21DXtWY2y8wW46udHsCOkrqZ2Qwze70NZbeK2O/eDzjfzJaY2VTgRlx5KzxjZhPMbBnwc3zy25vabTgFX6m/ZWZLcYMdUti+Gh59uxi4B9hV0oBIOxa4Oz6Lmd1uZvNDB66Keuvdmz4Wj8xMN7MG4ELg6IIsPzGzxWY2DY8s7RLXlwHbSNrQzBrM7KlqFYRsvzWzRWa2EF9x/2sh2xgze8HMluORqVK9LuFmM3s1+utO3DkFv7n8wcwejjG6Ep9Y9q2rd7yNmwEDzGyZ+b6/JenXmtlsM3sPvylV6j0WuMnMno1xuhDYR9JA3FHcVlJf4Mt4pHRzSb2iXyYXZCjr/1rsjd88rg65J+Cry2aRJHyhc46ZvRdjNoo67Tuegn4UcKGZLTSzGcBVNLabFZjZM2b2VIz1DHwBUNSPK0KWN/Gb2NAk7R9JO8fjEcFDkvRUtw6k9hx7Gu50TgJ+b2YTazT1npB9CW6jS8zs1pgvx+MRtkob7wo9+TRkfA2PbDWhFf1/ZLR/VujhZTVkbitl9rAHHgkbYWYfm591Gl1D5mrljogy78OjJa06X2NmN4XeVebWXST1qeezseU5Fg9C3BDlTTKz52PsnsMjY0X9LKOee3rZ3FUXa7zDY2Z/w8OCFxSS+uGrspSZwOYlRQ0A9pK0oPKHT7SbluRvKSvOuJjZonjZK+rtBsxJ6r0Bj/S0lllJXX/HoyDDgX9I+o2kfm0ou7X0AyoTToXieKRyf4pHjfo104YBwD1J372EO0iblJS7EPgDKyePo/GVKACShkl6SdIHUV4fPPRcbxtTnZvJypVwhfSs0yJcB8C33bYDXpb0f5IOrVaBpM9JukHSTEkf4mHm9eLG2KS9tE6vy2Rs1L4Yo1mU21SRn+ERoYckTZdUtNl6623Aty83j4ntaXzS/DLu4PwJ+BLVHZ6yOmrRD3i74JwV55YyNsKjcc8k/f9AXK+HDVkZYUrrrtrnkraTNFHSO6Efo2iqv6l+zMTbV6FaO9P09LM151gzW4BHIHfCnbRazE1eL67yfsU4STpB0tSkP3ei3EZb2v/9aNo/q4oyexgA9CvY7EU0nkdqMT8c0gr16nkjJHWRdLmk10OXZkRSvfPhpXh06MykzL0kPSrpXUkf4BG11s6v0NQWWmPfK1jjHZ7gx7gXnzZ8Nq44KVvi50DAQ2cps4DJZrZe8tfLzL6/SiRuXO9SfK+xUu+6ZjaoDWU2apt5dGo/vD8MuKJavlXMbGADSb2Ta+l4gIeRgRWrgy3ic7XaMAs/D5WOW08zS8sttnMcMFTSPniE4tGoc3/8rNCReAh4PTykr5JyqrUx1bkt8fDy3OrZEwHNXjOzobijewUwIf0GYsIwfLW2l5mti9/kSWQsytmeet2ofbF67k+5TTUiVorDzGwrfFX2Q0kHtKLedfBtkkq9k/FIwm545GUycBC+6n+sjvKbYw4eNUr7eMvk9Uf4TbUiX+pMzsNv2IOS/u9j/gWHahT7cB6+Yi/q1dtU59f4qnfb0I+LaKwbkNhZlDU7eV+tnWl6Kl/NOVbSrviWyDjg2hJ5W0REZkcDp+NbGesBf6PcRlva/3No2j9tYRGJbpAsNGrYwyzgjYLN9jazb7RRliLNzWfHAIfjR0f64FtO0FSfmiDpaDxyOMQ8GlxhLL692N/M+uBbeq2dX6G2LbSYDuHwRARgPIknCdwHbCfpGEldJR2Fn9eohFXn4nujFSZG/uMldYu/PSTtsIpln4MfrrpK0rqS1pK0taR6w3w1kbS9pK9I6oEf6Ktsc4H3wcBa37aIvuuJ76V3kdQz3aKR1CPSAbpHehODMLNZ+Mr7ssizMx7VuCPJtrukI6L8s3FH8Klm2nA9cGlli0rSRpIOb6Zb7sMNZwQwPiIV4KuR5fjZoq6SLsH3oCs011/jgHMk/UtsqYyK8peX5F+BpOMkbRSyLIjLn1TJ2htv/wJJG+DOfi3aU6/vBA6RdICkbrjztRQfV2hqU42QdKikbUI/PsTbV62NRcYCJ0naNXRgFH5OZ0akT8bPe7xoZh+z8mDpG2b2bj0Nk39Ft2zCnYLrxZlhD0fQeAtlGjAo5OuJRyKBFVGw0cAvJG0cdW0u6aCSuuYCW0jqHp//BO/3SyX1Dj3/IVD2cxK98b5tkPR5/Lxgkf+UtL58m/ksfO6ssHG0s5ukb+EHge8rqat0jo1+uB13uE7CHakflJTTEtbBb4zvAkg6CY/wVCj2X0v7/068/VtIWp+mOwctZSpwTERLvk6yfVPDHv4CfCjpfElrx2d3krRHG2UpMhfoq/Itqt64fc/Hnba6vnEs//2h6/CzOUX7641H+pdI2hN3qiq8ix+iLptDmrunt5kO4fAEI3BjAPysA34uZxg+YOfhh+bmRZZr8LMe70u6NrY6DsS3OGbjobEr8DMclR9AWlVfNzwBD1u/iB/CmoDv7bYHPYDL8ZXOO/iEVvltoLvi/3xJz5Z8/mL8BnsBfqB3cVyr8Epc2xx4MF4XvfAKQ/FVwmx8n/7HZvZwkv47/LxC5WDaEbE6qNWGa/AVw0OSFuIHmPcqqR+A2I++G1+5jE2SHsS/KfIqHipdQuPwdnP9dRP+baXH8EOXS4AzasmS8HXgBUkN0aaj4zxDkavxqNQ8vK0P1Cq0Ob1uCWb2Cq4D10X9hwGHhZMBft7hYnkY/twqRWwLPIKfKZgC/MrMJtVR7/8CP8LPHs0BtqbxeYY/4X1Siea8iPd9S6I7/UOmavV/DByBH6B8H9fRu5P0V/H55xH8PEnxd2DOx7cunpJvDTxC+ZmKP+LfgntHUmWuOgOPIk2PssdS/jMR5+I3kYX4jX58lTy/ww/FTsW3d/8nSfszPk7z8C2JITGXNqGZOfYy/BDrr8PejgNGStq2RO66MLMX8e2xKfgN+wv4t3IqVOu/lvT/aHwemIZ/K+/uknz1chZuJ5Wt5HuTtKr2EE7uYfj5kzfwsbgRj7K0G2b2Mr5Imx42WzzqcCs+D76N21TVc4VVOBz/ZuQTWvl7dPdH2g+AETFXX4I7mBV5FhHfAgx59i7I29w9vSYhx/418zTezs1kMpnOh/zXZe8yswdXtyyrkohibRtR8WLaifg3kPb7zAXLZNYA/ql+qC2TyfxzYq34ddlMJtO56EhbWplMJpPJZDKtIm9pZTKZTCaT6fTkCE8mk8lkMplOT3Z4MplMJpPJdHqyw5PJZDKZTKbTkx2eTCaTyWQynZ7s8GQymUwmk+n0/D8Lryp/yQI3+QAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "model = sm.tsa.UnobservedComponents(series.values, \n",
    "                                    level='fixed intercept', \n",
    "                                    freq_seasonal=[{'period': 10,\n",
    "                                                    'harmonics': 3},\n",
    "                                                   {'period': 100,\n",
    "                                                    'harmonics': 2}])\n",
    "res_f = model.fit(disp=False)\n",
    "print(res_f.summary())\n",
    "# The first state variable holds our estimate of the intercept\n",
    "print(\"fixed intercept estimated as {0:.3f}\".format(res_f.smoother_results.smoothed_state[0,-1:][0]))\n",
    "\n",
    "res_f.plot_components()\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[ 1.        ,  0.        ,  0.        ,  0.        ,  0.        ,\n",
       "         0.        ,  0.        ,  0.        ,  0.        ,  0.        ,\n",
       "         0.        ],\n",
       "       [ 0.        ,  0.80901699,  0.58778525,  0.        ,  0.        ,\n",
       "         0.        ,  0.        ,  0.        ,  0.        ,  0.        ,\n",
       "         0.        ],\n",
       "       [ 0.        , -0.58778525,  0.80901699,  0.        ,  0.        ,\n",
       "         0.        ,  0.        ,  0.        ,  0.        ,  0.        ,\n",
       "         0.        ],\n",
       "       [ 0.        ,  0.        ,  0.        ,  0.30901699,  0.95105652,\n",
       "         0.        ,  0.        ,  0.        ,  0.        ,  0.        ,\n",
       "         0.        ],\n",
       "       [ 0.        ,  0.        ,  0.        , -0.95105652,  0.30901699,\n",
       "         0.        ,  0.        ,  0.        ,  0.        ,  0.        ,\n",
       "         0.        ],\n",
       "       [ 0.        ,  0.        ,  0.        ,  0.        ,  0.        ,\n",
       "        -0.30901699,  0.95105652,  0.        ,  0.        ,  0.        ,\n",
       "         0.        ],\n",
       "       [ 0.        ,  0.        ,  0.        ,  0.        ,  0.        ,\n",
       "        -0.95105652, -0.30901699,  0.        ,  0.        ,  0.        ,\n",
       "         0.        ],\n",
       "       [ 0.        ,  0.        ,  0.        ,  0.        ,  0.        ,\n",
       "         0.        ,  0.        ,  0.99802673,  0.06279052,  0.        ,\n",
       "         0.        ],\n",
       "       [ 0.        ,  0.        ,  0.        ,  0.        ,  0.        ,\n",
       "         0.        ,  0.        , -0.06279052,  0.99802673,  0.        ,\n",
       "         0.        ],\n",
       "       [ 0.        ,  0.        ,  0.        ,  0.        ,  0.        ,\n",
       "         0.        ,  0.        ,  0.        ,  0.        ,  0.9921147 ,\n",
       "         0.12533323],\n",
       "       [ 0.        ,  0.        ,  0.        ,  0.        ,  0.        ,\n",
       "         0.        ,  0.        ,  0.        ,  0.        , -0.12533323,\n",
       "         0.9921147 ]])"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "model.ssm.transition[:, :, 0]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "Observe that the fitted variances are pretty close to the true variances of 4 and 9.  Further, the individual seasonal components look pretty close to the true seasonal components.  The smoothed level term is kind of close to the true level of 10.  Finally, our diagnostics look solid; the test statistics are small enough to fail to reject our three tests."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Unobserved components (mixed time and frequency domain modeling)\n",
    "\n",
    "The second method is an unobserved components model, where the trend is modeled as a fixed intercept and the seasonal components are modeled using 10 constants summing to 0 and trigonometric functions with a primary periodicities of 100 with 2 harmonics total.  Note that this is not the generating model, as it presupposes that there are more state errors for the shorter seasonal component than in reality. The process for the time series can be written as:\n",
    "\n",
    "$$\n",
    "\\begin{align}\n",
    "y_t & = \\mu_t + \\gamma^{(1)}_t + \\gamma^{(2)}_t + \\epsilon_t\\\\\n",
    "\\mu_{t+1} & = \\mu_t \\\\\n",
    "\\gamma^{(1)}_{t + 1} &= - \\sum_{j=1}^9 \\gamma^{(1)}_{t + 1 - j} + \\omega^{(1)}_t\\\\\n",
    "\\gamma^{(2)}_{j, t+1} &= \\gamma^{(2)}_{j, t}\\cos(\\lambda_j) + \\gamma^{*, (2)}_{j, t}\\sin(\\lambda_j) + \\omega^{(2)}_{j,t}, ~j = 1, 2\\\\\n",
    "\\gamma^{*, (2)}_{j, t+1} &= -\\gamma^{(2)}_{j, t}\\sin(\\lambda_j) + \\gamma^{*, (2)}_{j, t}\\cos(\\lambda_j) + \\omega^{*, (2)}_{j, t}, ~j = 1, 2\\\\\n",
    "\\end{align}\n",
    "$$\n",
    "\n",
    "where $\\epsilon_t$ is white noise, $\\omega^{(1)}_{t}$ are i.i.d. $N(0, \\sigma^2_1)$, and  $\\omega^{(2)}_{j,t}$ are i.i.d. $N(0, \\sigma^2_2)$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "                                Unobserved Components Results                                 \n",
      "==============================================================================================\n",
      "Dep. Variable:                                      y   No. Observations:                  300\n",
      "Model:                                fixed intercept   Log Likelihood               -1238.113\n",
      "                            + stochastic seasonal(10)   AIC                           2480.226\n",
      "                   + stochastic freq_seasonal(100(2))   BIC                           2487.538\n",
      "Date:                                Fri, 10 Jul 2020   HQIC                          2483.157\n",
      "Time:                                        05:46:36                                         \n",
      "Sample:                                             0                                         \n",
      "                                                - 300                                         \n",
      "Covariance Type:                                  opg                                         \n",
      "===============================================================================================\n",
      "                                  coef    std err          z      P>|z|      [0.025      0.975]\n",
      "-----------------------------------------------------------------------------------------------\n",
      "sigma2.seasonal                55.2934      7.114      7.773      0.000      41.351      69.236\n",
      "sigma2.freq_seasonal_100(2)    28.6897      4.008      7.159      0.000      20.835      36.544\n",
      "===================================================================================\n",
      "Ljung-Box (Q):                      165.59   Jarque-Bera (JB):                 1.20\n",
      "Prob(Q):                              0.00   Prob(JB):                         0.55\n",
      "Heteroskedasticity (H):               1.27   Skew:                            -0.14\n",
      "Prob(H) (two-sided):                  0.24   Kurtosis:                         2.87\n",
      "===================================================================================\n",
      "\n",
      "Warnings:\n",
      "[1] Covariance matrix calculated using the outer product of gradients (complex-step).\n",
      "fixed intercept estimated as 4.468\n"
     ]
    },
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 432x288 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "model = sm.tsa.UnobservedComponents(series, \n",
    "                                    level='fixed intercept', \n",
    "                                    seasonal=10,\n",
    "                                    freq_seasonal=[{'period': 100,\n",
    "                                                    'harmonics': 2}])\n",
    "res_tf = model.fit(disp=False)\n",
    "print(res_tf.summary())\n",
    "# The first state variable holds our estimate of the intercept\n",
    "print(\"fixed intercept estimated as {0:.3f}\".format(res_tf.smoother_results.smoothed_state[0,-1:][0]))\n",
    "\n",
    "res_tf.plot_components()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The plotted components look good.  However, the estimated variance of the second seasonal term is inflated from reality.  Additionally, we reject the Ljung-Box statistic, indicating we may have remaining autocorrelation after accounting for our components."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Unobserved components (lazy frequency domain modeling)\n",
    "\n",
    "The third method is an unobserved components model with a fixed intercept and one seasonal component, which is modeled using trigonometric functions with primary periodicity 100 and 50 harmonics. Note that this is not the generating model, as it presupposes that there are more harmonics then in reality.  Because the variances are tied together, we are not able to drive the estimated covariance of the non-existent harmonics to 0.  What is lazy about this model specification is that we have not bothered to specify the two different seasonal components and instead chosen to model them using a single component with enough harmonics to cover both.  We will not be able to capture any differences in variances between the two true components.  The process for the time series can be written as:\n",
    "\n",
    "$$\n",
    "\\begin{align}\n",
    "y_t & = \\mu_t + \\gamma^{(1)}_t + \\epsilon_t\\\\\n",
    "\\mu_{t+1} &= \\mu_t\\\\\n",
    "\\gamma^{(1)}_{t} &= \\sum_{j=1}^{50}\\gamma^{(1)}_{j, t}\\\\\n",
    "\\gamma^{(1)}_{j, t+1} &= \\gamma^{(1)}_{j, t}\\cos(\\lambda_j) + \\gamma^{*, (1)}_{j, t}\\sin(\\lambda_j) + \\omega^{(1}_{j,t}, ~j = 1, 2, \\dots, 50\\\\\n",
    "\\gamma^{*, (1)}_{j, t+1} &= -\\gamma^{(1)}_{j, t}\\sin(\\lambda_j) + \\gamma^{*, (1)}_{j, t}\\cos(\\lambda_j) + \\omega^{*, (1)}_{j, t}, ~j = 1, 2, \\dots, 50\\\\\n",
    "\\end{align}\n",
    "$$\n",
    "\n",
    "where $\\epsilon_t$ is white noise, $\\omega^{(1)}_{t}$ are i.i.d. $N(0, \\sigma^2_1)$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "                                 Unobserved Components Results                                 \n",
      "===============================================================================================\n",
      "Dep. Variable:                                       y   No. Observations:                  300\n",
      "Model:                                 fixed intercept   Log Likelihood               -1101.455\n",
      "                   + stochastic freq_seasonal(100(50))   AIC                           2204.910\n",
      "Date:                                 Fri, 10 Jul 2020   BIC                           2208.204\n",
      "Time:                                         05:46:36   HQIC                          2206.243\n",
      "Sample:                                              0                                         \n",
      "                                                 - 300                                         \n",
      "Covariance Type:                                   opg                                         \n",
      "================================================================================================\n",
      "                                   coef    std err          z      P>|z|      [0.025      0.975]\n",
      "------------------------------------------------------------------------------------------------\n",
      "sigma2.freq_seasonal_100(50)     0.7591      0.082      9.233      0.000       0.598       0.920\n",
      "===================================================================================\n",
      "Ljung-Box (Q):                      883.25   Jarque-Bera (JB):                 0.72\n",
      "Prob(Q):                              0.00   Prob(JB):                         0.70\n",
      "Heteroskedasticity (H):               1.00   Skew:                            -0.01\n",
      "Prob(H) (two-sided):                  0.99   Kurtosis:                         2.71\n",
      "===================================================================================\n",
      "\n",
      "Warnings:\n",
      "[1] Covariance matrix calculated using the outer product of gradients (complex-step).\n",
      "fixed intercept estimated as 4.426\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "model = sm.tsa.UnobservedComponents(series, \n",
    "                                    level='fixed intercept', \n",
    "                                    freq_seasonal=[{'period': 100}])\n",
    "res_lf = model.fit(disp=False)\n",
    "print(res_lf.summary())\n",
    "# The first state variable holds our estimate of the intercept\n",
    "print(\"fixed intercept estimated as {0:.3f}\".format(res_lf.smoother_results.smoothed_state[0,-1:][0]))\n",
    "\n",
    "res_lf.plot_components()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Note that one of our diagnostic tests would be rejected at the .05 level."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Unobserved components (lazy time domain seasonal modeling)\n",
    "\n",
    "The fourth method is an unobserved components model with a fixed intercept and a single seasonal component modeled using a time-domain seasonal model of 100 constants. The process for the time series can be written as:\n",
    "\n",
    "$$\n",
    "\\begin{align}\n",
    "y_t & =\\mu_t + \\gamma^{(1)}_t + \\epsilon_t\\\\\n",
    "\\mu_{t+1} &= \\mu_{t} \\\\\n",
    "\\gamma^{(1)}_{t + 1} &= - \\sum_{j=1}^{99} \\gamma^{(1)}_{t + 1 - j} + \\omega^{(1)}_t\\\\\n",
    "\\end{align}\n",
    "$$\n",
    "\n",
    "where $\\epsilon_t$ is white noise, $\\omega^{(1)}_{t}$ are i.i.d. $N(0, \\sigma^2_1)$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "                            Unobserved Components Results                             \n",
      "======================================================================================\n",
      "Dep. Variable:                              y   No. Observations:                  300\n",
      "Model:                        fixed intercept   Log Likelihood               -1564.378\n",
      "                   + stochastic seasonal(100)   AIC                           3130.756\n",
      "Date:                        Fri, 10 Jul 2020   BIC                           3134.054\n",
      "Time:                                05:46:36   HQIC                          3132.091\n",
      "Sample:                                     0                                         \n",
      "                                        - 300                                         \n",
      "Covariance Type:                          opg                                         \n",
      "===================================================================================\n",
      "                      coef    std err          z      P>|z|      [0.025      0.975]\n",
      "-----------------------------------------------------------------------------------\n",
      "sigma2.seasonal  3.558e+05   2.96e+04     12.012      0.000    2.98e+05    4.14e+05\n",
      "===================================================================================\n",
      "Ljung-Box (Q):                     2223.75   Jarque-Bera (JB):                25.29\n",
      "Prob(Q):                              0.00   Prob(JB):                         0.00\n",
      "Heteroskedasticity (H):               0.49   Skew:                             0.85\n",
      "Prob(H) (two-sided):                  0.00   Kurtosis:                         3.37\n",
      "===================================================================================\n",
      "\n",
      "Warnings:\n",
      "[1] Covariance matrix calculated using the outer product of gradients (complex-step).\n",
      "fixed intercept estimated as 4.690\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "model = sm.tsa.UnobservedComponents(series,\n",
    "                                    level='fixed intercept',\n",
    "                                    seasonal=100)\n",
    "res_lt = model.fit(disp=False)\n",
    "print(res_lt.summary())\n",
    "# The first state variable holds our estimate of the intercept\n",
    "print(\"fixed intercept estimated as {0:.3f}\".format(res_lt.smoother_results.smoothed_state[0,-1:][0]))\n",
    "\n",
    "res_lt.plot_components()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The seasonal component itself looks good--it is the primary signal.  The estimated variance of the seasonal term is very high ($>10^5$), leading to a lot of uncertainty in our one-step-ahead predictions and slow responsiveness to new data, as evidenced by large errors in one-step ahead predictions and observations. Finally, all three of our diagnostic tests were rejected. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Comparison of filtered estimates\n",
    "\n",
    "The plots below show that explicitly modeling the individual components results in the filtered state being close to the true state within roughly half a period.  The lazy models took longer (almost a full period) to do the same on the combined true state."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Assign better names for our seasonal terms\n",
    "true_seasonal_10_3 = terms[0]\n",
    "true_seasonal_100_2 = terms[1]\n",
    "true_sum = true_seasonal_10_3 + true_seasonal_100_2\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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TT3A4HEfse8MNN7Bo0SJeeeUVKisrWbhwIQAXX3wxJ598Mv/85z8588wzefzxx7v8HkE3McVQVbXd7LNs2TJeffVVpk6dylNPPcWKFSt6fD4mJsczhiZ5SSlXSCmXRJ83SSkXSynHRP82x+13j5RylJRyrJTyLSNlGEgaGhq45ppruP766xFCcOqpp/Lss88CurmlqqqKsSedRHlZMRs2f4GmaRw4cIA1aw4vfDRN46VX/wFS8te//pVTTjnliM8YO3YsDQ0N7co/FAqxdevWHsuamZnJiBEjePHFFwH9prJx40YA5s+fz/PPPw/QLv/RaGtrO0K5btiwgeHDhwNwxhlnHGG2it1sXC4XpaW6n/+pp55q3753715GjhzJjTfeyNKlS9m0aROnnnoqr776Kl6vF4/HwyuvvMKCBQuOKpPb7WbIkCGEQqFunYOJyYnGoM7wTQZ8Pl97qOdXv/pVzjjjDH7xi18AcN111xGJRJg8eTIXXHABTz31FClWC/NnVTCifDiTJ0/mlltuYfr06e3jpaWlsnXHbmbMmMH777/PHXfcccTn2Ww2XnrpJW699VamTp1KRUUFH3/8ca9kf/bZZ3niiSeYOnUqEydO5LXXdMvc7373Ox5++GFmzZqFy+U64piYiSUeKSW/+c1vGDt2LBUVFfziF79oV+gPPfQQn3/+OVOmTGHChAk88sgjAPzkJz/hpz/9KfPnzycSObzw+9vf/sakSZOoqKhg+/btXHbZZUyfPp1ly5Yxe/ZsTj75ZK688kqmTZt21HO7++67Ofnkkzn99NMZN25cr74fExOjWbGjnt317oEWAxhEPXxnzpwpOzZz2bZtG+PHjx8giXpJ2A/12yB7GKTmfXl70AONOyFnBDiy+1++TkhPT6etrW2gxRhQBuW1ZpJUaJpkyu9/wNC0cbz1/R/12+cKIdZKKWd2fN+c+fc3WnSWq3ThbrFEbeNxdn8Tk+MJKSX/s/p/WFe3bqBF6Vd2NzZD5qdUhd+ksW3gs/tN5d/fxJR/VxUtFAUsKUml/E/0Wb+JsRzyHOK57c/x8IZjhxEfT/x732aEkCj2Ov62vvNAi/7EVP79jRYGQHY18wewpEI4eZS/iYmRbGvWS4CtObSGA60HBlia/uPz2i3tz1/buXwAJdExlX9/E41q3dPk6zqE0WqHSLD9RmFyfKIF/Wx75FKa9vc8Wmsws7F+K0gQCF7Z/cpAi9NvHGzZQLqmUR4KURtYPeCmH1P59zdRs48vLGgLdKHcran63yQy/SSSiBah1lNL+AS72e1Z/x5K01vs+ef/G2hR+pV1B9czIhRijNfBa3teI6L1Oc1nUNAa2s3YQJBFHh8itZLXNu4ZUHlM5d/faGE0FCTg8oY638d6Yjl93SE3zb5mnAHnQIvSr+zeuZzzS4tZ5//wiHDX4519ru2MCwa5zH2Iem89H9f0LlR5MNHi9eO2tnBSKMxpSiZSSF7e/t6AymQq/z4ihODSSy9tfx0OhykoKGDJkiUAvP7669x7772HD9AiRKJfu8sfQuvM9KNY9Eec3X/FihXtY8azYsUKsrKymDZtGmPHjuXUU0/ljTfeMOjsuubKK688omzDsairq2PJkiXtJZ+//vWvt2/zRW9yrUFjazP1hsrKSiZNmtQ/n+VcixSCd9MVtq1+p18+c6Bx+p24pJvxwSBf9zpxSPsJYfr5cN8OworGSDWXignnkx2JUONZNaCmn0HdwzcZSEtLY8uWLfh8PhwOB++++2575irA0qVLWbp06eEDtDARFFRFENEkbf4wmY4OjcGF0EM+uznzX7BgQbvC37BhA+eeey4Oh4PFixf3+fy64vHHHz/2TnHccccdnH766dx0000AbNq0qX1bW0ivuOkL+QhFQljVE6BRupTUcQhIYWeKja3r/8ykeWcNtFQJJ+bsLY5kElAVZrpUPjjwAc3+ZnLtuQMsXeL45IB+vY/LG486+Tss2PYUb6fv4M3NB7ls7sgBkcmc+RvAWWedxT//+U9AL5520UUXtW976qmnuP766wE455xz+PNzLxNB5fXn/8zPbrwapy/EO++8w9y5c5k+fTrnn3++HlppdfD2O+8xbtw4TjnlFP7+9793S5aKigruuOOO9pIK+/fvZ/HixUyZMoXFixdTVVUF6LVvrr32WhYtWsTIkSP597//zRVXXMH48eNZtmxZ+3jXXnstM2fOZOLEie2ZywALFy4klnSXnp7Oz3/+c6ZOncqcOXOoq6v7kly1tbWUlZW1v54yZQoAmtR45Hd/4OLTL+Cbp32Tn/3Xz9r3Offcc5kxYwYTJ07k0UcfBfRCdsuWLWPSpElMnjyZBx98ENBvenPmzGHKlCl885vfpKWlpV3OW2+9ldmzZ3PSSSfx4YcfAvoMf8GCBUyfPp3p06f3Oku6t7hrdrHLBiVko0rYFllHINSFGfA4YkOd7twuTJ2Ae+QSrnPvJ6yF+ceefwywZIllT+NaLFIyYfg8KBzHabY8QmqYl7Z8NGAyHT8z/7dug0ObjR2zeDKcde8xd7vwwgv55S9/yZIlS9i0aRNXXHFFu5KJ59FHH2X+nFkUlJTx2B8e4rV3PmD/wUP893//N8uXLyctLY1f//rXPPDAA/zk+iu56sd38/7ydxk9fhIXXHBBt8WePn069913HwDXX389l112GZdffjlPPvkkN954I6+++ioALS0tvP/++7z++uucffbZrFq1iscff5xZs2axYcMGKioquOeee8jNzSUSibB48WI2bdrUrrhjeDwe5syZwz333MNPfvITHnvsMW6//fYj9vnhD3/IBRdcwO9//3u++tWv8r3vfY+SkhLeeOsNqvZWsfLNv1CrWLjushtZuXIlp556Kk8++SS5ubn4fD5mzZrFeeedR2VlJQcPHmTLFj1szunU/QSXXXYZ//u//8tpp53GHXfcwV133dVe9z8cDrNmzRrefPNN7rrrLpYvX05hYSHvvvsudrudXbt2cdFFF9ExgzyRVG75gO02G4tzZ9DoqeQDbSenr3qb+QvP7jcZBoK1Bz6nOBwmZ9jJFE6cx5Bdz1IcyeeVXa9w2YTLjtt+yU7fdkbJELZSPdF2/tjzsOz7CzXuD2hwX0BBRsoxRjAec+ZvAFOmTKGyspLnnnvuCFt2R4qKirjrx9dx9ncu46577mVESTEb1q5h6xdfMH/+fKZWTOWJPz1BZWUl2/dUMWJYCWPKSxFCcMkll3RbnvgQ0k8++YSLL74Y0Mszf/TR4ZnG2WefjRCCyZMnU1RUxOTJk1EUhYkTJ7aXRn7hhReYPn0606ZNY+vWrZ3a+W02W7s/Ir6scjxnnnkme/fu5aqrrmL79u1MmzaNhoYG3v7X23y84mNO/eoFfHvxt9m9czfbd+hNZR566KH21cSBAwfYtWsXI0eOZO/evdxwww28/fbbZGZm4nK5cDqdnHbaaQBcfvnlrFy5sv2zY2Wx42ULhUJcddVVTJ48mfPPP79H/gsj2Fu1gqAimDPmK1w04/s0qyprt/6pX2UYCPY5tzEuEKRw7DzU4XNxWQtZ2ORjj2sPmxsNnrwlCRFN4lLqGRsMQZFefTh9yoXM8vuxZWzh7a2HBkSu42fm340ZeiJZunQpt9xyCytWrKCpqanznaRk87ad5ORkU19XS1qKiioE809dxOt/f5F6bz0N3gaGpA+halulPgvqRcTP+vXru6xDEz+zipVDVhTliNLIiqIQDofZt28f999/P5999hk5OTksW7bscPnpOKxWa/u4qqoSDncespmbm8vFF1/MxRdfzJIlS1i5ciXBcJAf3Ph9frrse2ghF7utVorTilmxYgXLly/nk08+ITU1lYULF+L3+8nJyWHjxo3861//4uGHH+aFF15oN/10Rezc4mV78MEHKSoqYuPGjWiaht1uP+oYRlPj2Q42mF06naLUIjI+up3tbMPtC5Dh6P9ZYH/gC/to0JoZGwyTPnwaKAr+sedy3ZYneVmM4O+7/s6UginHHmiQsb6mCq8lRLnIAJteUp2cchbaCvlEdfP3zeu5dM7wfpfLnPkbxBVXXMEdd9zB5MmTu9xnzepPefv9Vbzz9pv84aHf6nbn+XP5bPWn7Ni5k7ZgGz6vj7Vb1jJ23Hj2Hahlzy59Fvzcc891S45NmzZx991388Mf/hCAefPmHVGeuWOJ6KPR2tpKWloaWVlZ1NXV8dZbva++/f7777e3UnS73ezZs4ehQ4cyd+HJvPLXV/BZsrCg0lxTx57qPbhcLnJyckhNTWX79u18+qne9rmxsRFN0zjvvPO4++67WbduHVlZWeTk5LSb2p555pn2VUBXuFwuhgwZgqIoPPPMM/0aaimDHg5aXKRpFkrTS7GqVhZmTuHTNJV/f3j82r53tuxECiiWOWDTc1kK532XHMKMCRTxduXbeEPHX7vNlZV6qfTRmaOPeH/hmHMBqHO+Tb37y5OqRHP8zPwHmLKysvZIls4IBAJcdfUP+NMDv6CgeAj3/Oo3XHHFFbzx1jv88oGHufCii/D43SgoXP/T65k3dR6PPvgrvnHhleQXl3LKKae027k78uGHHzJt2jS8Xi+FhYU89NBD7ZE+Dz30EFdccQX33XcfBQUF/OlP3TctTJ06lWnTpjFx4kRGjhzJ/Pnze/alxLF27Vquv/56LBYLmqZx5ZVXUjGjgrSRadTu2Mv8BachIyHsqSnc/X/3svh0vcXklClTGDt2LHPmzAHg4MGDfO9730PTNAB+9atfAfD0009zzTXX4PV6GTly5DHP87rrruO8887jxRdfZNGiRe1NbvqDpl1r2JpiZZhtaPuK6btzfsg/ll/F6l1Ps+SMb/ebLP3JZwd1s05x2uES22LIVJrsw1nS0MBvbD7e2f8O544+d6BETAjbanRfUsXwuUe8X1JxOSdtf4LW9I38a8shLp1b3q9ymSWd+5OQDxq2s18rJL+giLQUC1JKdtS5US0+gjRSnllOlbuKDFsGZcIGrQehaBIch+GPzZ4man2HGEI6ufnDIegh0LSr3fST5+ik5PUAYeS1tv7FX7DM8zLfHHohdy7WHeNSSpb8aTqpoQB/uGgdBZn9a4bqD657/Xo2Nr7PM0OuYeRZN7a/3/jGXeR89iCLT5rJ8NxSnj7r6QGU0niWPnEuQbmDt7/6GJQfufJ+6OlTeEI6GRN4gJd+cEZCPt8s6ZwMRMsXRFBRFX3GJ4Qg22ElEPGiCpVUayrZ9mxag62ELDb9uOM009fjdyKQOGJ9DaypWLBgleAMuI5+8CCmsu5jNCFYMPrwSkoIwZn5c9huV/nHiu6Z+AYb+5xfMD4YonjCkSvI/DnfRRWSCc4s1tWvo9JVOTACJogWWcPYYBCKv+zPWDhyCZoQNLW80e+mH1P59yfRGiaxJK8YWQ4rKH6sigMhBLkpuUgpaYlEs/+OU+Uf0AKkSLA7oiYXISA1h2wtgj+sJ3wdd0jJoVAlABWFRyqDi+b/CEVK1h54fgAESyxhLcwhrZExwTCppR38YvmjqU8fx3ca96AI9bjK+K1tdeGy+CjXUsGe+aXtk2ZcRV4kQnb6Ov61pX+jfkzl359EZ/7hDsofJYQQGpGwHuWRYkkhzZpGS8CJVKzHpfLXImGCQmKVtiMikNTUXDKj9vxkKPdgNJGWKvbYImTL1C+ZtQryxjAtbGdbykH2NRxf577XuZewkBRpeRBb0cZhq/gOC+U+hllG8+HBL+fIDFbe27MRKaA8tfNoHiU1j1MtedSmOXlj0/5+lc1U/v1JtJyzFCpKnMJrC+rNUgJBK6Gwrvhy7bmEtTBuq+24rO3v8TYhAZsl/cgNVgcWYTtuTT91X3zElpQUylNHd7p9SekiGqyC5//9ZD9LllhWV+vlDUozOu+nnD1LT2Isbfazu2X3cXPjX3/gMwAmlX7J5N7OwhFn4lEEvsZ/4Av2X9SZqfz7Ey2CRCCUI7t4eUIebGoKUqo4fbqpI8OWgVWx0iyk3vc3Ohs+XvBGFXt62pfruSjxph/t+DL9HNy9goNWC1OHdh45tWT+zaRrGpsaXu2638MgZO2+j7BrGiOGLeh8h6wyDmVP5wz3XiSSjfUb+1fABHGweS2ZkQijR53a5T5zZmxIhOgAACAASURBVFxDiibJTVvN+qqWfpPNVP79SbScc7zJJ6JF8Ia9ZNjScVhVXFHlL4Qgx56DRwvjF0K/ARwvSElAC6JKSLN9OaFJSc05bPoJHB8zwBhVTr1936nlszrdbs8sYUE4nd32Rtbur+1P0RLKPudWTgqGKJvQdZ5J2owL+FqwBoHC+vr1/Shd4mgK7WdcMIQoqehyn9TUfGZZsqhNb+bTvV0kiCYAU/n3gaamJioqKqioqKC4uJjS0tL218Fg8MsHaBE90kcInE4nf/jDH/CEPEgpWf/xen54+QV4g+H2G0COPQchBC2KAsdR8osMevAJsAhb57VcLHYsSgpWCS3+48j0E/JTSz1CwsT8CV3udu7Ir+NXBH/95LF+FC5xSCmp1RoYHYxgH9K52QcgY/q3SZGC4qCdDQ0D3+O2r/hCQRotrZRHrJB69IqlpxTPosaqsHtX/7V3NJV/H8jLy2PDhg1s2LCBa665hptvvrn9tc1m+3KZg7hyzjHl3xZqQxEKKZYUrKpCqs1CVbOXVl8Ii2Ih05aJU1WIHEdO34C3mbAQpFgyutxHSc0lW4sQiBw/pp9A9Xq+SLFSIHJJs3adVDZ39rWUhMLsdr6Lpg1+00+1uxqfEqGYfOhg8jyCtHxqsmdS4fWwqWHToP/dP96/g7ACw2ylx9x37vgLAQh6l+MP9Y/d31T+BrNs2TJ+9KMfsWjRIm699VbuvPNO7r//fn2jFmHGV86hprqK2267jT179rB47mJ+e9dvUYSCx9PGrddezjkLZ3HRxd+l1Rck156LhsAV9gzsiRmIL+gGINN+FOXvOP5MP3VffMjWFBsjs7suAQIgMgqZJ7M44HCyctfgb3C+av86oGtnbzzKqIUsDjQSiATY3rQ90aIllE8rVwMwtnDqMfcdUXoy+RqEHJWsr+qfjnbHTXmHX6/5Ndubjb1YxuWO49bZt/b4uJ07d7J8+XJUVeXOO+88vEFGkICqCO699142b9nMCx+8QHFaMZtXb2b9+vVs3bqVwqJiTp47j1fefp9vnbUYu1Bo1sLkSDn4S96G/ASIACoZKY6u97PYsKgObDJMs8+ZVNm+veVg1SqaU1VOHj7nmPueMfosXqp6iVfXPM3Csf/VD9IljnV7/40qJeOGH73eEkDR1DOwbtB7Gq+vX8/kgqPfKJOZfYc+xSolU09adMx9hRDMcZTxoazi810HmDsq8de7OfNPAOeffz6q+uXlrYzG+cfCPDWpz2wzbPoMePbs2ZSVlWGzWpg9czr1NQfY3+QlU0klIER7hMxgRgZceBWBBRuKOPrlp6bmkhMJE9T8BMID1+7OKGq8+uRk7tBpx9x31sxryI5EqG5dTjA8uCO9Kp1bGREKMXxi1xEvMSyl08jQUsgJWwe93b/ev4fRwRCOoZ079zsyb9hCXKpC1e6XEyyZznEz8+/NDD1RxBcJixUyQ2oIqeH3B1GjOk+TGjbVhk3Vk17iyypbLRZyHSo2i0KrNwWLzU2Dr5E0e3a/novRRLwu/IpCmiX1mPsKRzZZrQepAxq8zZRlDkm8gImitYZKix9V2jkp+6Rj7m7JKGKOzORDRxMrttdwxqSyYx6TrNRE6pkTlKQUjDr2zqqFhryZTPHtYe2hdchButqVUlKvNLMwoEB6YbeOmTvpYtj1FzzBj/GHItitR/GPGIA5808w5eXlrFu3DrQI6zZvo+rAAVQhSEtPw+12k25N7/JYVVEYkZ9GRHWQG9HwRAKDu+RtJEww4kUCGSldn3c7qhXVkUOGptEadA7quHf37k/YkmJjiKWk2z2KzxhxOh5V8NZnzyRYusTR5GvCpYZ1Z283lbht9EIWBFw0B5qodlcnWMLEsKPxIB5Vo8zSPcUPkJ85lBGaFZejjo0HEm/3N5V/gjnvvPNobm6mYvpM/u/PLzFi5EgUReDIdDBt9jQWn7yYH//4x10eb1UVRhRk4NAsqECDr6H/hDeaQCu+qALIsB175g+gZBSTrWlINJz+wev4bdzxEVtTbIwpmN7tY06ZeS12TaPB/Q6eQOcNcpKdlbt1p+ewjLHdPqZwyulM8+tmvvUNgzPef8Vuvf/EqJyuQ3o7Y072WLbbYeO2xJu8jhuzz0BzhGM3DofDwTvvvANBDzTuZJ9WTGFBAe5QI/c9eh9jc8aiRsPfFi5c2H5crAE76DcAr5pGXsRFfbANb8hLqrV7yjOZkJEgXkVBQe327BdLCmm2LFStjUZvMzmOrMQKmSBq6tfgy1ZYMLx79l8AR2YJM0lne1o9726t5dzpQxMoYWJYu+cDACaNWNjtY5TiSRRHHNg1hfV161k6ammCpEscOw7o7VKnjT62szeeU8Ys4bm1W6ja9yKwOAGSHcac+fcX7eWc9Tj/tlAbqZbUdsV/LCyODHIjERShDNrZfzgUwicEKd2w98ejZhSTFdEISi+B8CCM/Q4HqQ1VATBjSM/aFJ4xbCGNFoWVnw/OSp/7W7ZQGgozZlIPFJmi0FIwm0n+EGtq1yVOuARS495OWShE8aieNUCaedK5WKTEGdlAIJzYeH9T+fcXceWcJREC4QDptm7YvaM40jJRgAzNQlt09j/YCERChIQgvZsmn3asdjItuhO9zt2YAMkSizy0mW0pKjZppTyzvEfHLpxxLYqUuDxv0eLpJGs8yanR6hgZAmtOzxzWaWMXMSfgpqptL65BGOVWTz2jgkBmSY+OS7WlMZ5Mah0uNlUlttTDoFf+g8YJ2F7OWcUXTdg6mrO3I4pqISjsZIXCqEKl0Tf4lKBf6t9Bei9MVmmZJdilxBd2ovXzb97Xa6z5wDa2pNgos484ZnhrR3Kyy5lCKvVpdby5+WCf5Ohv3AEPDWqQIfQ8Zj1v8ulMj9r9NzYMriJvTl8bTWqIUpHbbSd3PHOLZrAzxcLWDf9KgHSHGdTK326309TUNDhuAFqsnLNCIOLXSzqoXy5qdjRESjppMkCaJQt30I1vkJV6DqHHq/f0vAGwOsgUNsJCo9HdfzNBKSVNTU3Y7b1vq1hVV8tOm43JeRN7dfzppfOpTFFY+/nfey3DQLBqz2dIISjL7L6zN4bIP4nh4TQUCevqBpfpZ+ehfUgBOWmd1/A/FqdN0stb76/5h5FifYk+O3yFEEOBPwPFgAY8KqX8nRAiF/gbUA5UAt+RUrZEj/kp8H0gAtwopezVLa6srIzq6moaGgaBDdzXggx4qBfQWu8jqAWhvmdDyJAP4WnApQbxKR6cqpNc+9ELRiUTTnctPiFRGno359DCAer8TTTLBhrTi3ozqeoVdrudsrLex9nv9R4gLARTirqu7Hg0Fk27mvtqlhPwv0WN8zpKso+SGZ1ENNZuASD3KEXsukQI/EVzGRNYz8fVa/mPGQYLl0CcLZUA2NJ6ZvKJMaF0DmkaNMidhCIaVjUxc3Qjon3CwH9KKdcJITKAtUKId4FlwHtSynuFELcBtwG3CiEmABcCE4ESYLkQ4iQpZY+9G1arlREjRhhwCv3A36+m4YuV3JT6R8ZNfYlD3kO8ePaLPRvD14L89Vf4beR8lHOm8fim/+OFJS8wPm9wNLH/2cMX8L4DPr1iU6/HePiJuWwWrdw1/WW+UnHsWjHJwKFgIwgYV9C7mf/Q/PGMIoWW9IO8sbGaq08bY7CEiaHN2wxAekZRr47PGL+YWetW8bxzK6FIqPsRYgOMs02fjKb3cmJmUSxMshSz01HNlt37mTY2MTquz7cUKWWtlHJd9Lkb2AaUAucAT0d3exo4N/r8HOB5KWVASrkP2A3M7qscSY+vBbdIJ9NhpS3UdtSqjl3iyMGfM5aZfEFOZBEZ1gz+uOmPxsuaIIKESZF9y1r8zoxrcKoKH354l0FSJZ6Yj6cwI6fXY3y1+GS22lW2rk2sKcBIPAE9USk3o/uJTvHkTFzMNH+AMCG2NW8zUrSE4vbqjtrMY5RxPhrzh51GrdXC5vUvGCXWlzB0PSGEKAemAauBIillLeg3CCB2BZQC8aUKq6PvdTbe1UKIz4UQnw8K087R8LXgkmlkRZV/hrXripZHwz56ATPVXby/uZlLJlzCe1XvsaN5h8HCJgafiJDSx8XmgimXkKup1Kjr2Lp3cDhAA5oemZXZnazmLvjKlCvQhMAafovd9W1GiZZQvEHdN5OXWdy7AXLKGRHR8zo+P7TWKLESjtuvd+PKSs/v9RhfmXIRAJWN7xkiU2cYpvyFEOnAy8B/SCmPlorZmaW2U4+tlPJRKeVMKeXMgoICI8QcOHwtNMeUf7CNNFsvZv6AKD8FBwFcez/nzKHfxq7aeXX3q8bKmgikxK9opNC3pbuqqHxj2BmsTrWy+V/3GSRcYvFrfhQpcVh6b6sfXzydIqy40w/wjw2Do8yzL6zfpHKze1+TKaV4HiWhCCurPjNKrITji5Ygz+3tTQ8Ylj2S/IhKjXKAUILi/Q1R/kIIK7rif1ZKGQtJqBNCDIluH8Jh92Y1EJ+qWAbUGCFHUuNz0hhJbZ/59yTM8wiGzwNgltjGh9s9lGWUcchzyEBBE0TYj08IbKL3UTMxvjPzOiJCsDf0sQGCJR6/DODQRJ8KlAkh+ErhdNY5VGq3JDYE0Ch8YS8OTSMtvffmrpyJi5nh97O9af3giOoDvCFd+edl9c7XAfrvPck+ik12hR1bPzdKtCPos/IX+hX9BLBNSvlA3KbXgcujzy8HXot7/0IhRIoQYgQwBljTVzmSGimRvhYawqlk2C262cfWO7MP6YWQN4bFjl28trGGAkcB9b4ehg0NBAE3bYqC3QDlX55VzrCwjR22wZHoFiBEiuz7POsrEy/FryhkRt42QKrEE9B8pGoSofbe1Jcx7itUBAJ4ZBsH3INjxeMPe1ClJCer9zN/gAUnfQO3qrB+U2Kyu42Y+c8HLgW+IoTYEH18HbgXOF0IsQs4PfoaKeVW4AXgC+Bt4Ie9ifQZVATcCBnBKdNJt0vCWrh3Dt8Yw+dRIbezsaqZVDWHBm/y+0M0XyseRZCiGhOmmE8aTjUyKNocBghjN0D5zyibR5pUqHMcGBQ1/v3Sj0P2MR43s4QRmu44XV2bmBmw0fgiXlI1iXqUTnXd4auT9BiZfa5PjRDrSxgR7fORlFJIKadIKSuijzellE1SysVSyjHRv81xx9wjpRwlpRwrpXyrrzIkPT7dAeQijRSbnqLfW4cvAOWnkBJpY5yoornVToOvob0xTLLibWvGoyg4LL13esaTbc2hQVVwtiQ2Bd4I/CKCvY++DgCrYmUiOexL0ah3+w2QLLEEZAi71vdkjKKieWREND7YmxglaDQBzUeqlL3K7o0n157L0EgqeyzNhAPGJ3QO6gzfQYNfD3lzyTSsNr0wWW8dvkC73f/b+VXsqVUJa2Gcgf7p+9lbvO4WXfn35aYXR76jCLeqcPBg8kc6+UXfHd0xClLyaLQoNDQmf3mPACHsfQztBcifcjoVgQBfNAwOp29ABkk14KYHMDlvFhvtKTS2Nh975x5iKv/+IDrzd8p0LBZ9xtanmX9WGWQPY7FjF3UtehewZDf9ON26fKl2Y0oyF2frqfMH6rYaMl7CkBKfAinCZshwxelD8CgK9YeSv7m5vuLpex5p6piFjAkGadGakn6FC+AnaIiZD+CKBTdw94J7yMoxPpPfVP79QUz5k46i6mafPtn8AYafwlD3BkQkE4B6b3I7fVs9+kw1w6ByFEPz9VaIdS17DBkvYYR8eBSBXTHG11GWq2d7HmpI/qQnw1Y8afk4lBw0IWmJxtAnMwERNmTFAzA2dyxnjzq7T2HCXWEq//4gZvOXaaDotrteR/vEGD4PxdfEzFR9JpTsNf5jWY/pqT2v8NgZY8omAdDsSe5Er6C3FY+iYFeNab4zvEgvktbi3mfIeInEp0jsohdF/DrB5tD7/1Y6kz+s2S80UmTy98kylX9/4NPt8U7SQehmn77P/HW7/1estUDyz/zbon6PnD5kPcZTklMOgCuY3Dc9jzvq6Fb7+HtHKc7Ti6S5fcmdGiOlxKuAXel7aC9ATrqeGrS7bpch4yUSv9CwG2TmSySm8u8PfC2ERApStePX9DovfZ75546E9GJmye0QSUt6m38s1T833ZiZv8PiID0C7khyO7pbWvWbsqOvv3eUwky9EkpbJLkdvt6gj7AQpCjGrHiKsnVz18GG5Ff+uo/HmBVPIjGVf3/ga8GrZpDpsOIJ6cq/zz14hYDy+Yz2biISyqDWU2eAoInDG9RT/fNSMw0bM1uz0CqSu6dBTPmn2YxxdKeoKWRGwCPdhoyXKBqc+vXosBiz4ikt0iu41rsqDRkvUYQjYXyKwK4as+JJJKby7w98LXiUdLIcegtGh8WBVTHAETZ8HunBelLCdmrcya38AxFd+RcYqfxx4FKTu6evK7oiy3D0vsRBR3KkDY/iS+pyB40u3RyZajPm9y4YMprcSIQWX3Lb/Js8+grXKDNfIjGVf3/gd9HK4XLOva7r05HhenPookiYxiR3+Poj+gw9M8UY8wdAtppFkyoIJCABxijcXt3Zn5FqnPLPVdJwWSK0BcKGjWk0zuhkJC3FGOWfmldGYTiCM5Tc0T6NUYe0UcmMicRU/v2BrwWnTG8v6tZnZ2+M/LFoKZkMC/toDbUQ0ZK3SoZfGuTojiM3pYAmVaHu4F7DxjSaWE37rDRjHN0AubYcmiyC+iRO9GpvaOIwKD7daicnInAnubmrsVVf8aQZtOJJJKby7w98LTRph8s599nZG0NRENlDKdUCSDSa/cZnARpFUAaxSAztxlSQUYoUgv01Wwwb02ja2sv79r7CY0cKHEU0qyoNNbsNG9NoWqNdvDKNUv5AhpaCSwQNGy8RON1RH489e4AlOTam8u8PfC1HlHM2cvYrMkoYJXWzRzJX9/SLECmasZdbad5oAGqadho6rpH4Y+V9DVT+sTDX2oYvDBvTaNqiyVjZGcb14cgQabSqGiEtef08rR49n8VIH0+iMJV/ogkHIOSlIewwfuYPkFnCqIiuYJI53DOIMan+8Yws0WPeG1qrDB3XSHxhvex0fpox0T4AIwr1RK8GZ/JmN3tiK5703rVw7IwMix4m3OBJ3uu8LZrQmWmgmS9RmMo/0cQSvOJaOBo58yezhPKQHmGQzIlefhEhRRrbgHtUNPzP6U/eSCe/AS0cOzK0WL/pubzVho1pNL6QbpvPyykxbMxsh7562lOfvD6etkAsmdG4m16iMJV/ookr6mZ4tA9AxhAKImGQUNOWpEow5MerCMOKm8XIsmeToklc4eT1dfg1P1ZNYlONO/fCjDIA3KHknQH7Yg1NMo1TgvkZejG/ytrkrWvkC8a6ePWtkUt/YCr/RBNX1C3DruIJeUi3Gaj8M0uwAGrEwX5nrXHjGknArTdyMaCLVzxCCHI0lVY8ho5rJAEZxN7XhiYdSLemY9egTboMHddIAhEfaZpETTGuINmQaDG/miQu5ne4b7Gp/E3iavmnRGv5Gzrzz9SX1Y6wjZq25DT7yECsuJnxlQmztBRaleSNAAkQwmFQed8YQghyNQttSZzd7Jc+Ug2uvlw6ZDwWKWlqS95ifr6wJ9q32JgyJonEVP6Jpn3mn4bVGu3iZaTDN2OI/iesJm2il7/NSZswrrJlPFlKBs2qhkzSHAe/CJNiUHnfeLJFKq1qiEiStrHUVzzGjplfMoKCSISWQHJe5wD+aN9i+tC3uL8wlX+iaS/nnI6qBgBjE51w5CAtdvI0aA0mZ0tDX5sTryJwWI1PfMmx5dFgUXE1JqfJK0AEewLK++ZYsmiyCJpaktPfoTc0Mfaml+LIIC8scUWj25KRgAwYvuJJFKbyTzS+FjQU3DgQqgFdvDoiBCJjCGUygl+2JmUMtMfdjE9RSDWwtEOMvNQhhIRg/8Hk7OjlV6Thjm7Q21g2qCqNNclZ1z8gIoYrf4CMiBUXyWzuMq6LV6IZHFIOZnxOApZ0VEUlJPWwvz717+2MzFKGyQAgafIl3+y/NRqXnZ5ifOJLcVY5AFV1SRgBIiVeRSakvG9R5lAiQlBbl5yJXn4RMaxvcTwZpOJUkremUZCQqfwHLe46WP1H0Axau/la8CiZZMWVczZ05g+QOYTyiD52MiZ6xbIe01ON70M6vGg8AHWu5JsBy5BPd3Qb1NAknmEFYwA41JSc9e39QmLH+BVPupKFVwFvyGv42Eag3/SS394PpvL/MptfhLd+AnveM2Y8XwttyuGibmCwzR8gYwjlAd23UO1OvpK3bT7dLm1kcbMYY4ZOBqDZk3ydrQIeF14hEuLoHlWit7Fs8ew3fGwj8CqQohi/4sm06eUiap3JmdXtVzTsCVjxJAJT+XfEFc2aXPOYMeP5WnCRTka0tAMYHO0DkFnKkLDuT9jVlHxhcN6AHo+ek4CZf0lmMYqUOEPJZ+5ytzbiV5SElPctztLbGroCyRfe297QxKAuXvHkpOkJbvtqktPH4xOJMfMlAlP5d6Q1qvx3vQMtlX0fz+88orSDIhQcFoPj3TOHkBPRQAr2J2GDa28s1T/N+GgfVVHJiSi0ar2PAEmUCaEpVuHRaDMfkGvPxSLBrSVfG8smt34jdliMV/4F2SMB2F+ffMX8Yn2LHQYnMyYKU/l3xHUQCieAUODzJ/s+nq+F5sjhcs5p1jSEMDbjk4wSVMAatlPbyxIPTr+T/1n9PwlRhP5o1mN+ApQ/QJZmxSX8vTp2697Pmf/sbF5e+YjBUoEr2sIxNcW4om4xFKGQral4epndLKXkofd2sb/J+OzohmimuSMBN72h7T6ePpi7Dq4Fj/G9ENx+L5EEmfkSgan8O9J6EEpnwLivw7pnINQ7pQLoTmOfM1rR02J8XZ8YmXqiV1rE2utEr1U1q3hu+3OsqlllpGTA4S5e2QZ1depIlkjDqfYuyWvtjncJC8GqXa8bLBW4vLqCSVR532zZ+zaWB50+Hnh3J8+uNt523tyqrz6NauEYT0nZBFI1jcbetnPUNFY/903qlt9hrGBAg0u/2RvVtzjRmMo/nnAQ2uohqwxmXQW+Ztj6996PF3ABkrpwavvM39C6PjHSi0Ao5EuV1l7avnc06Upgdc1aIyUD9KxHMKBpfRdkWbJpsCiEvT2vdXPIqVeI3Bcx3mHcFm3hmJmamFT/bEsmzRbwe3ve3aq62csllrfYu9d484nLHQ3tTUBDk7zcPPLDGs5g79o5au4afpiXwe8OfWKwZIdveo5B0MULTOV/JO4aNqVYubppFf6hsyH/pL45fqPlnFuiXbw8IY/xYZ4AqhXSCimW4JO9+6fYsX8DAJ/u/9hIyQA91R8SEOUUJddehEdROHCw57H+jT7dRLHPFsbpNjZb1h2t65SZnpja7rm2Aup6mehVc3Ab74/8gCzvowTDxqaktnpjDU2Mv+mpiiArouKSvTNXHTy4gYCisEt4IWRsslhzrG+xqfwHIa6DrHLY+aStks1NW2DWlVCzTrcR9oZYaQd05e8OuROmAMkcQpkMoQkPwUjPC505PZUAVPv3E4gEDBUtSBCbJrAoiYl/LoyV+q3pecJTS7QcdEQI3v7seUPl8sbK+2YmpsJjYUYpfkWhtmZ7j4+tObQWt6rQlnqArTXGVgd1exMX2guQodlx9rKd486D+iRnt81K4OA6I8XC1d63OPlbOIKp/I+k9SAHLbqC2lC/AaZeCNY0+OyJ3o0XV8s/oWYfgIwShkVt6wdcPbeHtkScODSNiNDY2mhsGF1AhBJS3CxGSb6e8FTT1POetk68jAhKhJRsrPrAULli5X3zshLT2KMkdxQANU07enxsU6tu7jlgD7Jpj7FNYWJN63MzEnPeaSKdFlVDyp5XjquKXiNhIdiw421D5Yrd9BJl5jMaU/nH46qmJqb8GzaAPQumXgBbXgZvL0wCcbX8E9LIJZ7MEoZG4+m3NfT8n7lF+Fno1W8enx8ydkYUEFpCsx5HluiJXo1tvThvNcwQmcXwEOwLGpsl7A/rpon8VOOjfQBGlkwEoLG155EvrQH9uzpgtdKwy6CExijeoO6DyM0yrm9xPOmWPEJC4PT0PMehznM4D2ZTzedGitVu5stON65vcSIxlX88rTUctOop6RsbNqJJTTf9hP2w/pmej9dey78fZv6ZQxgS0P/pdvYw0csddONXNCYEggwPhfi40kC7fziATyEhdV5inFSsx3439zDhKRD006hCtiWHkeSz1+rHG+hDdFcHYlFO6UbXcopSnlcOgNPf85VemzwcGOB2rjRKJAB8keiKx8AWjvFk2fXotur6npv5GsMtZIYhNSLY6zd2xeONtXBMkJnPaEzlH0fYVU2dqlCYWogr4KKytRKKJsKwebrpp6c14+Ns/g6bJKgFEzfzzyihMKLLV9VDs09Nmx7pkkoOU/0Bdri29GpJ3SmBNtoS0MUrHofVTmYEWiM9S3jasX8DESHId5QyPqcCnyJ4f90bhsnll37smkRVEmPyKkwtREhojfRsVRrRJG6ljZKIgiIhYt1LjdM456c/7MWuaaQmaMWT197OsRfKHy/ZkRTyQ9nsUYPt/6NG4IuWb8kfBF28wFT+R1DnriIi4KzyswDYWL9R3zD7SnDuh909XB77nIRUByEsWCy6gyqRZp9sTUNIpceJXjsbdHOHJXcWkwJh2qSPA+4DhoglA614RWKKm8WTFbH0uNTvnmr99x2SPYKFU88DYO3uNw2TKSCDODSDE/risKpWMjSFNtnWo+PqWv04rWGGiwyGqxk02D1s2GNcqKtf85GmAUYnM0YpirVzbO6hmS4cpEHVyCSTPNsodtmsBKrXGCaXL9KGRUqyE+TrMBpT+cdR49XNBvNL55Npy2RjQ1T5jztbj6X/rIdhn74WfGomqiJA0c0JiTP7lCAAR8Te40SvPTVbACjIHUcReu2UDQ0bDBEr4HHpM/8EZz1m4cCp9Czh6WCzXhGzvHgS40afQlFYNKKc7gAAIABJREFUY5+355EzXeHvh/K+2TIFVw/bWB5oaKbOIhiSUkBF3ni2plip3/ahYTIFZABHAhuMDY36eOp62M5Rc+6n1mIh01JIeeE8wkKwcee7hsl1uG+xmeF7VIQQXxNC7BBC7BZC3DZQcrQT8lEd0UsblGWUMbVgqh7xA2CxwYxlsOtd6Mlsw+fEo2SQabe0V/RMnNlHt4PmSCvuUM/MADUte7BIScmQieTlzSI9ovFx1WpDxPK1teBRFByJOu8omUomjRb0RL1u0tCmJ7aNGzEdhGB0JIN9llbCEWPi3gMinJAuXvFkKRk0WyQy2P2yHFXVGwgqgrLMYUwdvgiXquI9ZFykU4Agdi1xqqWksJSciEazv2clGmprNxISgtzUYcwbNQ+AzbXGBTf4NR8OTSZsxWM0A6L8hRAq8DBwFjABuEgIMWEgZGmntYYaiwUFQXFqMRWFFexx7cEVjaBh4jcBCdWfdX9MXzNtIv2IWv4JU/4p6ZCSSREK/h4mejV4aigOhykoHUPG6FOYGgiwvtYY5R9wt+ARSsITX3JsBbSoKi0Nld0+pjnYQGZEIz9bd0yOzRhHs0Ww6ouPDJHJn+AoJ4Bsaz51qkprfffLNNTUbwJgdPF4JpfMBiCobcUfMqYPsp9wQrp4xchJs5EdFrT0sJ3jzoP6eRfnjefUEWNxRBT2Boxr/xmQQRxycCh+GLiZ/2xgt5Ryr5QyCDwPnDNAsui4qqmxqBSmZGNVrVQUVACwqUG/YMge1r5ft2mtoUHk6gle0fC3hJl9ADJLKJYRNMWFL9j9f+TmcBPF4QgZhcMpm7yQikCA2mAdrcG+90r1eJoJKiIhxc3iyU0vBWBP9aZuH+PU3ORFDv8LzBv7dQA+3vqKITL5FY2UBDQ0iSc/rYRWVaWutvtNXZrdeqx7edFURmWNwvH/23vzIEmu+77z8zKz7rur7+45gbmAwWAADHiAAAmKF0RTAiWtbEriilqtlxtarVeOkEKWrFB4V2vGRngvW7srObSUtRatNZe2RR2UZPESL5kkiHMGwGAGc/V9d9d9V779IzO7q7vr7O6qmsqqT8TE9GRVNd5DVf3yvd/7/b5fVJLuTa7NHI08dLsNTYQQpp1ja5VZc5u3ATg9cQmvSyNainDToUPiaM47chTbuuM5aro10img8kRx3ry2CyHEp4UQLwohXlxba7NDldngNekz0icXhy+iCGUn9+30gTtsCL81g258qBZllGA7XbwqCUwwVS4g1By315vX+NmSaYbKGkJz4QyNcqwQQAq4tnbt0EOyXLwC7qPX8q9kImI0PM2vNa9VE1PyRPSdg+gnLz1PoKxzN34E5x1SkhXgboOhSSXj4VMAzK80f1YRLywipGRy/FFUReW87zhvujUW3ziavH9OtN/QxIeXTaW1ncpyxljlPzJhfFairrPccjrIzR6Nzk9elHD3iIsXdC/4V9sb7TsiklL+npTyipTyyshImxsn4gssODSmQ8aXyevwci5ybufQFyB0zJB8bob0KuhF5vUhghUr/yP3760kOMmUaRjz5lpz4yzpJWJKiaDcOaSKei6iSMlLR9DsZbl4BXzt7Xo8bkn9Ju419Xyp66yrOmF1Z0eiaC7OllzMKuuHLnU1LBwFrjZXOR0fOw/ASvxO069Jyk2iZXCZQnuPHXs3bzmdFO8dTb1/tk2+xZX4lDAxBYot6POsl7YIlATHI8Z7fmrsPZSE4Oqtoznv6CULR+he8J8HjlX8exroqg9fMT7LqqoSck3w2W/fIVcs8+jIo1xbu0ZJNw2jQ1PNp33Mm8S9YmSXhWPbcv4AgQkmTDG5WxvN/e9cy6whBYSUnZW59/h7OFso8r2Zw8s7p81Gt3a4eFVyfso4MtrINFfmurA6Q0pVGHLtLss76znNghNeudO6ZEIluXTc8O9V2yvve2bcWMVuZZrLXeu6JK5mGZU76ahL4++gJASF7IuHv+lJSUYRuJUjNizaQ8AxihSCjRakLTbIEiq7UBRj7fnMqScBeH31tXova5psm3yL20W3gv8PgDNCiFNCCCfwCeDoBdVbYDkxiy4ESxse/ulfXOfn/uAFzkUeIVPKcCtmasYEp3acvhoRN7Jab+fD28HfqThxqm38cAQnGS0Z5Y7NNnrdMd3KwmbXJMD4xffyaD7PzeRNyq02tu0ha4mb+dqb8x8NRHDrkliTlU43Zl4yX3d81/V3nHo/AN967d8dajxb8VVKQuBtc5XTMbPKK1ZsrvJlNZln01FmVN05gH9kxCidzDmWmFs7nMhbMpei1AFDk5Bp5zi73GSjVz7JigYBdj6Hz5w6i7uscKe4bKRpD0lWoe07vaOkK8FfSlkC/lvgr4HrwBeklF015VxIGSsnWYigCHhpZot/+ddG4Nsu+QxNGR2BzZTVmTuEufJQ+6UdLIKTjJSNXUqzjV5vzxs1/qOh09vXRk89yvkc5Cnydqz5g8RqZEumhaO3jWcdGIeAkRakfmdNaYBj0XO7rj/92E/ikJJb64fLA28ljP//3qP2a96D1+HFowuSsjlN/9mVRdZVwbh7R3dn1DvKsBbgLbfK3WuHy/uvmzai7TY0GYkYn9e5teY+n/rmXRY1jaBjZ6fncWoMlYa54VDAPAw+KKVyiZwi8LR5x3OUdO1oWkr5l1LKs1LKB6SUn+nWOCwW88bBZD4bZiLk4Q9+7h0srbsR5SDfnjPLO03T7KYOfRML6A4fCXb8e9ua8gEITBDUJapU2cg1d0A+u2Zsm6dGKyptFYWoMM4+tm98ByRXNoJxxN1+jfOQ7iImmpOjXonfA+Dc8cd2XXf7RjlTUJiTi4dKgcSSxkrc1+YqJ4Cw7iTe5LzvzL2IFILj5kGxxeXRx7jqclG4dbjgv2FaOLbDxauSydGLACzGmitxXVq6ZtT4+07uuh51nzMOfecOV9q8njLKq91t8C1uF71Tl9RO8ikWZBEVQTLjYyTg4ukzw/x///VTiPxJvjXzIi/NbBlpH9hO6dQlPkfRNwmIjq78BRCU7qYbvVZSc4TLZcanLuy67ht5JyOlEt+f+96hhpTXjXK8tvkYVBAQfjY0HZoI2hu5ZTQpOT398L7HzjimmHWVuLl8MD9kgFjacrNq71kHQFD42dL0pixHF9eMnd6ZiYu7rl+auMKCQ0PdOFwQtAxN2l3ae3z8LJqUrDd5xnNzyahcGx/a3U70wLjR6Xv19uEOfbd9i7U2f8ePkEHwB0gssOjQGHMGWU+WGAkYlQoXp0L8F088C45NfuYPvsJ3Vs0KhmYqfuILZL1GPtZq8mr7yt87DIqDEaFRYKuppp2N/BoTpTLDUw/suh46+zSX8wVeWzmcrWNedi74hxxRNlSVYrJxQIiVtxgugaruL0m8MvVuSkLw9Zf//YHHYh10h9pc5QQQ0oZYUVWK8caH/Bspoyro1NTju64/Mmzk/QvqHdLZgyubJlLGDjroaXNpb9hLpASbxeYaGue3jLTOgxO7g//7Tj4BwJvrrx9qPJvmGZvP2f6d3lExCP4A8XkWNJVJzxhryfx28Ad49qRRETA9vsp/+cUFJKK5tE98nqTLUPezXLzaHvwVBQITjEmBoiWZ32pcBhfTE0RLYp8eyYlLz/BIrsBaOcZa5uA9FgXTwrFd/r2VRDzjlITg3nzjL3KcDBG9ei36+x/7uwDcXPrmgceSyhlBqRPa7hHPOOuqysZSYzObeHEZpy4Z2XPW8VD0IRQEb7sEt187uKR3MmsG/zYbmgTcDgJllZhsTtZiJWME50vjp3ddf8/JM7jLKrdL6y1Jg+wlljIa5Hxt8C1uF4PgD9sNXhOBY2xmCoz4d4L/Q9GHcCgOnr6YIi81sq7hxuWepTykV4mbh0shj4N0Id3+tA8Yuv56CeFIML/V+IuxqRQI6fsrFNy+EKNF4wu8q9ehRfKihEtXUET7P2ojQSOPPdNEBciGViIiqr8foZHznCpIFkoHN3dJm30dkWD7FR5HgyeQQjC73LjRK0Gc0bJA2SMz7XV4OR04xTW3k+SNbxx4LClrxxNo/03Pp7vZatLOcb0cx19R42/hcWqEyyO85dRg9eA1J4m0ccYT8EQO/Ds6zSD4A4XYLGuqSsR7EinZtfJ3qk4ejj7MrcQbqIowAnqj4G/uDDY04wsQ7NTKHyA4yWQxg1AK3N6o3+WbKCTIKpKgUn21EvJdxqlLXl4+eOonL8q4aJ/OSyXTo8ZqdmGrftBOZZJsqIKIo3Zq4qwSZdaVY36ruSqavWSLxutG2uRmVcnUiNHotdygYkXXJTE1x4isXo54eeJxrrrceJYPfs6TKRilou3yLa7ER5ANhcZlmlKyIXIEy+7tGv9Kop6HzEPfg8s7J01fgHb5FreDQfAHlmN3kELg1YwPbGXwB7g8epk3N95gLKixKoYbp33Mm8OqGEEI8DtVI+ffiZV/YJKxjPEFvN2g0WveHGfIWX116j75FBcLeV6YPWCzV7loipt1pvHlQcvOMV3//Xnr7suUhWDEu09RZJtHRx4jrQi+9vLB9P1zpkJs1Nf+NMADo0YqYyNdf1GynsqxrumMatXHdGn4EmlF4Ci9iTRLhlslY970htvk4lWJVxsipSpk4g0qftLrLKsKAarP+8yY0eR29e7B03xpUwCyV7T8YRD8AZhPGl8ahzRWgqN7g//IZYp6kaGhVeb1IePAt15FiRlUF2WUoNtBXs+hS71DK/8JRs0+hJkGjV43FozceNR/ourjExef5dFcgVuZGfLl5koJd5FPklKUjgX/B0Ym0aRkM19/x3N30RB/mwyfrvmcZx/5MQBuzH/5QGPJ6VkUKfFo7a/7Phs1Gp62CvXPZm4t3CKpKox5J6o+bh363nHpzN84mL9trpxBlZJwoP0r4KDbuMGsrtdP8+lbRo1/wFl9F/Z+89D3+sb1A49le8cTqv7/9n7E9sH/c29+jr+48xd1n7No6YKXjOC/d+X/6OijADi9s9zOh6CY3vbnrYpZDTRXCndO0dMiMMGIaee4kKwf/O+ZufHJ4fNVH588/iAn8w7K6Ly50bplHvmEIXHQoa5Hp6YRLgviDaR+FzeNg9FT5k6hGsdOPINP10nmm5dKriSv5/HoRvNZu4m4w2gSEuX6Kao7s0ZAPxF5oOrjp0Kn8KgerrmcrL/+9QONJVvO4NMlitZeYTeAcOAkALMr9SUelpavUVAEQ75TVR9/6uSDuMoqt2Uc8q25olnkSkY/SzTS/jTfUWH74P+Xd/6SL9z4Qu0nSMliMYGGIJc1gvOwf3fwH/YMM+WfIq/d4UbW3DrWy/vH58A3wkZe6YyWfyXBKUZLRvBfTq3WlXZeit9Dk5LjNYKgUBT86hngYKuiQiZOugM6L5WEyk5ion6popUeuWCu+KqiKPh1yMqDedvm6Zy2uxDCnHf9sS5tGjfws1OXqj6uKiqPjDzCSy4fYvFgon7WTa8TjJoVS/MNDJZuLxkHuRPR6pYhbodGqDzOdacDlg5W3JAtp/HoOt42a1gdJbYP/k+OP8m19WtkSzW+GLk4C0JnTPOzkSoRdGu4HfsPKC+PXmajdJN53TzNr1frn1iA0DRbmeJ2mSd0KvhP4JMSt3Ag1ThX52vvUNZzy4yXSoweO1PzOc6RdwKwsjnT8lAyyRhpoeDuQI2/hY8AW2oJCrVlHraK6wTLOiF//dSEX1fIcYB0F5Cj0FZDk70E8LGllusakq+njffwgWPvqPmcSyOXuOtUKOealwSvxLBw7MxN78S4qeSarH+2NRczbg5nxs7WfE7U+/ChOn1zeg6fLo1y6x6hd0Z6QK6MX6GoF3dMWfZilnlOeYZZS+X3pXwsLo9cJl3eYsHaztYTeIvPQ2ia+a0M0xEPaTMQdSrtAzCquhGOJC/N1g4GW6UYoyXwBmqXpw2dey9eXWdpqXVv23wqRkoReLX26ttUEvKcZU5TWavjzRqXSaLlxoHZIzWyojVfYIs8ZVwdDP4u5yQrqgZ3ah9axkurBMo6gWDtg+5Hhh+hLGBBOZjAW16037fY4uTQCB5dspGvL2q3kjWa/i6NV0/7AFwYu0JJCK7dO5iLW17P9ZSLF/RB8H989HEUofDiSo0DrPgCi5rKlH9qX4NXJQ9HDRmAuCuFLrTaK38pIT5PwTfJeqrAiaivsyt/zQXeKGOoeDwJXp6pHfw3RZZQuf5h7PGzlwnpOrFMa36pYAT/jKLgcbVf18fiyTM/hhSCr16t3Z0bUwuEZeNUlA8HGXEwVdOc0n5Dk0rCobOsaiqb1/6q5nPiJBhrcNO7NGKkhO45DpbuylFuu2+xxWjQRbCksFWqf9axXo7jKyuciNSuvHr2pKHx9HrygGc8FPHog+B/X+F3+rkwdIEfLFf33s3H7rGmaUyGTrGazDMSqH44GfWYHYtqlpSrTq1/Lg6FFJuaUfJ1IurtbM4fIDjJI7pK2THHi7NLVQXKinqRmFImKOqvyoPBMIGyTqbUnFpmJanMJiUh8Ls71/jyE5efxaXD1Xj1hp1yWWdNlUTUxm34HuEmrRwsgZ0TsmNVTgAfevCdFIXg9YVvVK1Ek1KyqRYYpn6n9bBnmIjuZNZ58Jues0M3PbdDxV92slkvNVcusS4KBMqeqjX+Fk+dOIOnrHCDg970ih3d6R0Ftg/+YOT9r65dJVfafxC4uGlIwk5Fz7GWzO8r87QIu4xVg9eTZ0MdqV3rX1HmCUbw72i1D0BgkqezOSRlUuIt7q7vD9yrqRV0IQhp9fPeiqrg1RUysnW9l3TGEJdrd6t/JUG3hxOlIa46spDZL253b+EGKVUh6m5cleFTfKRUQaHUYiCUkowCrjZbOFbyI2fejypVvuPIw+r+yqy1ZIY1B4zUaWyzCOImpegHqvXPCh236NxNzyt9bCnl2qXXiQWWNBV/jRp/C5dDZaLkZVY92E0vL8o9ZeEIfRT8a+X9F81t3pBrgkyhXDPt49E8aIpGwFtkSUZrr/zN63eLxmr3RNS3vfLvhLgZAMEJLsfXcateVP9NQ5F0D7fNMs+I59i+x/bikSoZWtc9SZn19mFfZysgHgw9yazDwfVX9xuxvz37CgDjweq9DZX4HAGKQrAWb04h1UKWcqQ7rO3udXg56XqEr/k8JF7fn/q5fu81ikIwXqexzcKveomrCulEa/MGyCqiY6W9AB4lzJqqIlPVzee3a/wdjTuOfcJLUgHKrZ/z5BQdVwfTfEdBXwT/x0Yfq5n3X0gbtfBOjBXwiL968BdCEHKGcLtyzJYikFis3lZuHgS/lQkS9TnxuzSShSQ+h68j+jYABKdwpNd49/iTOP03eWlm/5f47QXjRjg+9GDDX+eWTjLiAKvAvFFvP+TpXM4f4AOX/h4A37zx5/sem18zSlZPjFTvbajEZ2rSL6/fa+m/n05ukhGi7RaOe/nouR9lVdN46caX9j12d8GQ6DgxfG7fY3vxqQHiikJqq3pArUWxWDSDf+c07RX3aQqKIHb181UfX15+w6jx99c+7LXwKD7iqmKkblskK2i7b/FR0xfBP+AMcH7ofNW8/2J+Cw2BXjJy37VW/mCkfjRHjpu5EOhFw6R9L/F5UBy8EXdzImp8CToi51yJWfHzdPRhcGzxwvz+JpiFTUPa9/h47UYnCzcu0qJ1YxNL32a4zRaOe/ng2ScIlgRv5vZr3awmjXLHsyce3/fYXkJuI121FmvSutNkK7aKFAJPJ99z4O89/GEUKXixOLOvWWlp6yYAZ6cvN/w9AVeIuKKQjrd2yL9uupe52+ziVUlo6BkAvnP1D6ouxm6ZO9yJ4Qv7HtuLRwsSVxTK6dZUbKWZ5utkP8tR0BfBH+DJMSPvv0umQEoW9CwTqpeNlLGyrRf8Q64QQs0wU6pT6x9fgOAkM1s5TkSNL0FHXLwqCRrB/ymv0fY/l3uFeHb3VnYts0CkXGb6xMV9L9+LR/FSUGhZ4sHqegy7OhsEFUXhNJO85ipT3NptvLOVW0GVkuOjtWu+LcI+Q5hvM9mcObrFRsLYTbbbwnEvIVeIE8pJvu5zkb2525xkPTOHkJIHj9eu8bcIu6MkFYVMvLWV/7rl4uXo3LwvRR/DU/DyRZGGW1/d9/hi3LjZnxup3tVcid81hC4Em7EmJNsrSOTSlEVndzxHQf8E//EnKeiF3Xn/zCaLimDSFWEtaQS2RsG/LNJGzh+q1/rH59GD0yzGs9sr/2Qh2bnDXoCAoXkyXSwy5jmG5r/JK3vq/TcLm4yWdCJDjaV33aox9kS+vmzCXvK6UTnR0bmbPDz2XjZVle98/492XY/rMYbLAlVtfDgXNW+isRr55FrEU5aFY+e13Z8+9TzzDgffe2V3V3ustM5IWeJowk4z4h9FCsFWorWb3mbcWPn72mzhWMk7Tw+TiD3FDzxu5r732/seX8kZ792l8ZMNf1fAbXwXljZaK/dc277pdTbNd1j6Jvg/NvYYAsGLyxV5/8S80eDlNUxcVEUQ8dauVAi5QuT11HYlT/WV/zwp9xhS0r20T9BUVEws8uyxZ1C9d3jh3m6dn01ShMsORBMdiT6HEcRWE/W1gvZSMKUROnbQXcHH3/HTALw4u1ujJi6yNU1c9jISMg5HU7nW0h+JjHHQHfB2Xtv95x5/HiHhB/GXdlXAxESKkXJz1SjDIeNwNJFq7f22rCs7aWhybjzAheCHEBK+uHUV1nanONf1BN6ywolI46KDkN+Y91qisSNaJRumgKKngzueo6Bvgn/QGTTy/is7ef/c1j02NJWp0AnWknmiPidqnVrgkDNEuhQnhp+i4t5f8aOXIbnIhmrV+BtBr+Mrf3cIHF5ILvHs8WcQSonvzO9olUsp2VBKhGRz21Sf6UO73OKKKG+6eHUj+J8fPclYUeNGeX47CEop2VBLDDXobbAYHz4OQCpfR8SvCsls50tcLUZ9w5zQR/hP7jKlNaOMWUrJhlYi2uy8w8ZNL9mgc3YvybTl4tXZ6q6//+7HIP0Af+L3U/re7+w8UMyyppTwl711v9cWUfNmH0u1Nu9Y0nTxarNv8VHTN8EfjNTPa6uvbeeuFzcMyYLJyDlWkzlGg/VP68PuMPlyHo9TGqYue9M+qRXQSzs1/kNdWvkLYRz6Jha5MnYFBQd3Ui9TKhsHYslikqwCQaW5L2nIa9zM1lrMhRYoIiQdkTWuxoOOU1x1CzbnDOnqza0N1jWFIUdzQXkoPI0qJZlSa+kuy80q4u+OtvuV8Q9x2+nku9/9HADL8RgbmmDE0ZzM8ohpPZkpNOePa5E0rStDHbCurOTDD4/hyL+XNU3lP9344k5/R2yWBU3DL5rbgY1FjLLnWLa14B83Xbz8bfYtPmr6KvhfGbtCQS9wbe0aAAsxo+JlKnrO0PWpUeZpETRzmeNDOqvK8P60j1XjXwjjd2kM+YwUUscPfAFCU7D2Fm7VxQOBS+ieG9xYMapvZlaNrXHY05zhRiRgNERtNpCI3ktelHBJtSOyxtV48tRzZBWFr//g3wBwc8Y0cfE3rnUHEJoTvy7JlFvrbraqnKLh9rtZVeNn3/0pAL6zaKS83rxjiJWN+4839fqQuYLNlForecyYhibW56VTOFSFT156DqXk4Y+9Dnj5DwGQm/dY0lQCjuY+59Mh4+aYLLQ272SmM6b1R01fBf/Hxx5HILZTP4tpI7c3GZiuq+tjYXX5jgTLLOhD+7t8zeB/PRviRNSLEIKSXiJbynb+0PPiTxidnjf+ivcffwbVtcrf3DKC/ttzrwI7nreNiIaNFVE804LSY7lkNr50r+vx40/8JIqUXF01DMlnloyb/vRQbRXTvfh1yLUo65wpGmWWwx2wcKzGqcgkJ4o+XlY3kIUMdxcNmeJmehvASG8CZPXWbnqZgrFDGu6CocnPvPM0hcQVvuH1sv6D/xvKJZZXXievKAz5a5v2VDIVMoJ3qoFW0F6snV64A77FR0lfBf+QK8T5ofPbh74L2XUcEqLuYdZThYbB31oRhQMl7hQikFyGUkXnqxn8X0v4dx32Qgd1fSwufxKiD8LXfou/c/q9AHxzzlAsnDEPxY6NNS7zBBiNGsHf2tY3RSFJRlFwd1DfZi9RX4TjJQ+3lHWkXmY5ZtT9P1jHxGUvPl0h06Kss2XhOOTpXg74cuidvOVy8IMf/DsW44Z5zbkTdfwLKgg4AwgJuRZ1brJmae9wF3Y8owE3T419lLKAL8k4vPUlbq+Yad1o47JeAJ/ThbcMab21eVsWjkMd8C0+Svoq+IMh8fza2msUygUWSikmFTfxbImyLhumfazgH/DmuV0IAxIqa8ATC0hXkBsxsavGH7pQ7qhq8EO/CWvXOTXzAi6i3E4ZXZ4ryTkcUnLyWOOGH4Ch6AR+XSdVbGE7nE+SUgTODurbVOO87wJvulRuvPEtNjLGTu/siceafr1XauRa7G7O6VkcusSpde/G95+969MAfPWtf89GdgGXrnNqurl5q4qKVyrkWpT0yOkZ3LqOy9P50l6A/+Y9T1HOHOc/hMLI7/8uCwmrxv9k07/DqyukaU3HKluy0nzt9y0+Svov+I9dIV/Oc231KouywKQzyFrKqvGvr0lipX08rnxFrX9F6ic+T9E/SbEstw97UwUz+Hd65Q/w0PMwcRnxjf+Js/7HKThusBhLsZ5fZaxUZnyisa4PgNsbJFjWyZSat7grZuKGkUuXux7f/9CPURaCb736eeKlDQJlib+FUkQvTjJKa2JfeZnH23pD9JFy+djDHC9ovFq+y1Z5k7GScYbRLF7pIKe0pnGT07N4O+TiVY3Hj0cY4RnuaYLXVl4mljJ2epfGTjb9OzzSQZrWbvbZUhpNSsLB9vsWHyV9F/yfGHvCyPvPfZNFTWXSM9JUgxfsHPg6nLnqtf7xOVIuI8/b9ZU/GFU/H/zvIT7H82oJoeb5k+t/y6aeZKik4tCalKAVAp8uyLSQ+84mY4aFo9rdrsemrsXFAAAgAElEQVQPXPwoTl1yM/kqMVJNmbhU4lE8pFr8luRk4b7Qdn/UdY7rLsGcliSqt7YL8QoXaUVH6s3f+PKyc9aV1RBC8Pcf+zHQHfxxMMyKUsZTVjk51HzJrQcn6RZv9rlyFp8uUZ2dE7Q7Cvou+IdcIc4NnePbC99iU1WZ9h/bDv615JwtPJoHp+JEqJmdlX+8Qj4gvlBR438frPwBHng/nHofH337SyAVvjH3HTZFnqDe2gfVo6tkZfO573w6RkpROtrqXw2X6uJBPcTbjgQxNU+E1nYiXtVHWoF8qfnVYP4+0Xb/4Uc+CcC6phBVWjt/8CseEqpCLtV8qi9HAY/e3ZDyk088iMg8xl/6vNxyOpqu8bfwHEDZMy9zXd3xHJS+C/5gpH6uJowyz8nIaVabXPkLIQi5QpRIk1c8ZNXgTtqnmIXMOgtyCKemMB40gmtHXbxq8cF/QiC9wfGin9vpF9hSJUGltS5MDxrZFnLf+VSMjFDwdrDVvxaPRh7jjlNjQVOIaK113fq1ALoQLG01X+Z6v2i7P/3oRzlWMKLSsLO1ngOfZih7JltQ9sxT6qhvcTXcDpUPTH+MvNB5xe3GqbRWceVWfMQVBbLNN/blurzjOSj9GfzHr2z/PDn8MGvJPF6nis/V+AsbcoVIFOKMB91saiM7aR/z7zuFCMeHvNuuQR31763F1BPw0PP8SHqJgrJomLg4WgsGHlwtuVoVMoZ/7/3Q9fiRJ34KgIIiGG7CxKUSv3nOs7zefHdzVnS3xNVCKAqXMQ4hJwInW3ptwBkkpqgtyTrnRfm+mPc/fM+H0fNG2aXT3Vylj4VPC5FQFIotKHsaO73eC6W9N+Ij4Ir/JNZ9eip6vqkaf4uQK0Q8H2cq4mGZ6E6Xr/n39Uxw+7AX7pOVP8AP/SbPZHfqtocDjc1MKvEID2lFVrWErEYqs4kUgkCHW/2rcfnYuwiYadzJ0MmWXmvJOq+30N2cUyQu7g9t94+f/yku5/K85+wHW3pd2B0lqSpkEs0H/6yQXS3ttTgx7OOE81kAJvytVeD4XUNIIVjdmGv8ZJO86P6O5yD0T/BfvwV/+y/g9z9M6Lef4Gy+gAvBsNc48G1U5mkRcoaIF+JMhz3MFCM7+j7m36/G/duHvWDU+WtCw6V2ORgMn+HkmZ8galoSTgw31/Bj4VX9FIUgW2ru0Ddj9gSEu6BvsxdVUbmgGCvB0xMPtfTaoClVsNWsrLOUZAW4u1ziavGOZ36ez/34lzh38cMtvc6SpthqQeQsq8iOWlfW4xef/GlK6dM8Od5YwrqSgMd4v1e2mg/+WaHj7jEXL+A+2KO1Eynh6/8Urv8ZrBtmFoxfgmd/jR/3aLxR2EQIwVoqz5nR5lbmYXeY19dfZyriMWr99S0oZCC+gEQwUwzxyWjFyt8UdeuWxEElvg/9Bu/63Jf5i4CHB6Yam5nseq0zCBIWN5d4cKyxNno6HwMFIp77Q+nwY5d/hlde+20ePftsS68bMWWd49WMe6qgFw0LR5e4j4w9RlpLfQAMmw1L8dRKU8/Xdd2Yt7w/5v3Rhx4g4v59njzZ2s4z7B+HLVhvQcE2JySu+2DH0yr2Dv5CwPwLhsjZk/8VnPthMKUKfrriaWvJPE890NwK1Vr5T4Y9fF+vqPWPz1H0jFDIObYrfaALom71CE3xiHgf59e+wbHjrQUEv3MI8oalYTPBP1tIghui3u4f+AJ8/NGf533nf4whd2vBYCRiGOIkc81JWySSG+QUBa9yn7znB2Q8YnV1NydylkjHKAuBR7s/DE2EEDz1QOt199HwFMzBVrq5mx5gunj1Vpkn2D34A/znfwJK7XxcvlQmni02nfYJuoLky3lGAqKi3HMe4vMk99T4g1Hq2dXD3j1c/JH/hW+8OUfA09r2POQbhjysNpn7zpsNYRH3/bHyF0K0HPgBJodPApBqUuxrY8tID3XawvGoGfYbgTPdpLKnZWji0Xp73uMRQ/wukWvOvL5YLpJXRNebGQ+C/YN/ncAPsJ4yWtgbyTlbWF2+AV+RRcxgEp+HxALr6jSqIpgK73wQuqLoWYdHj0d49HjrJiNh/zhsNm9pmNPvgyqnIyAQHMepSzJ6c7LOW6a2e6ctHI+asNkFnW1S2XPLdPG6H0p7D0Oryp7rCWNn1Enf4qPiUAe+Qoj/WQjxlhDiqhDii0KIcMVjvy6EuCWEuCGE+EjF9SeEENfMx35bdDkZvpowdDxaqfYB8LrzrMghJMJM+8yzqEeZDLtxajv/W++34H9QRkyDj0STJXDbFo69PndFJajrTStcWkYg/i5YOB4l28qe5eYkPbZSlqFJb897MhBBSNm0sud6zDgQ7zUXLzh8tc9XgItSykvATeDXAYQQDwGfAB4GngN+RwhhLcF/F/g0cMb889whx3AotqUd/M3l7KyVf7acJOj3kdQisHwNihluF8KcGNq9Arjf0j4HZTxqlIYmm90Omy5eXsf9kQM+DD5dkJXNiX0letTYYy+tKntavsUBT28Hf5fDgVcXTSt7biY671t8VBwq+EspvyyltNo+vwdMmz8/D3xeSpmXUt4FbgHvEEJMAEEp5XelUTD+h8DHDzOGw7Ij6tZkzt98k61D3zVlBOYMs4w3M6Fdh71grPy7YWN41IyPnEBISbpJZc+8qQhphxufV6pkm1S4tLTdQ/7eEvnai6Xs2ey8LevKkLe3NO2r4dVVMk1KmcSTpm9xD+54jrLO/+eBvzJ/ngIqC2XnzWtT5s97r1dFCPFpIcSLQogX19aa77hrBWvlH/U3V6plpX1i+RhTYY9h6mKmQm7ldgd/KSWpQopAj+d/ARzugOFq1eR2uChKqFLgVHqvBG4vXtm8tEU6310Lx6PEKzWyTSp7pvNmX0ePGZpUwys10k2+35bB0f3QzNgqDYO/EOKrQojXq/x5vuI5vwGUgD+yLlX5VbLO9apIKX9PSnlFSnllZKQ9H6q1ZJ4hnxOH2tx90Er7xPNxpsIe7hR27viLcnhXpU++nKckS7ZY+SMEfh2yeqbxc/UyOaXcVQvHo8SQtmhO6TFjdnQPdcnC8SjxCRcZRTf6ZRqQNl28es3QpBruFt7v7R1PD+70Glb7SCnr9oULIT4FfAz4gNzp/Z8HKsXip4FF8/p0letdo5XuXgC35salukjkE0xFPMyVh0CBsuJkg8Culb8l5xzowcOgavh0hWwzrlaFFGmh9GTjSzW8ioe00tyOJ1tMgQIjod5f+fsUL0lVkEvHcPvrV4hlzc/6yFBvGZpUwyO8rIsNQ9lTrd+5a7l4Rfzdsew8DIet9nkO+EfAj0opK5eEfwZ8QgjhEkKcwjjYfUFKuQQkhRDvMqt8fhb408OM4bCspfJNl3lahFwhYvkYk2HPdq1/0jmKROF4ha6PJefsc9pg5Y+p7EkTaYB80uxytUfw96k+MoognW986GtZOIa7aOF4VPhUv6ns2Tjlmitn0KQk6Ou99MdevKqfuKJCtnGPQ9bc8UTDnfctPiyHzfn/n0AA+IoQ4lUhxL8EkFK+AXwBeBP4j8AvSimtfdQvAJ/FOAS+zc45QVdodeUPFeJuFcF/XR1hNODC69zZTNlt5e+VTrJNbIdLmRhpRcHVg12P1fA5jEP+xc3GPQ45PYdHl6gN+kt6gYAzRExRSccad/nmyhm8ukRRe3/eXi1EUlXINSFqlykbJcDRSO+luw7V5CWlfLDOY58BPlPl+otAc87hbUZKyWoLip4WIaex8p+OeFiQRq5voRytWukD9qh4AfAqbtKicd13LhUnpQg8XXbxOir8rjBkYWVjljMTp+o+NydzeHrQ2KMaIfcQyaxCOtZY6iAv87aZt98VMd7vzVlOTNYPVblSBq+i4/H0Walnr5PIlSiU9JaDf9gVJlFIEPI4yDqHyKghrhYndh32wn3g4nXEeFQfSVWQL9Zf/WdTW4Z/bw92PVYj6DFu8Ovx+QbPhLws4u5BbfdqRHxGkcVmsvGxXE4WbDPvoNc4r1nZauL91k0Xrx4sbLDHu3VAmvXu3YuV9hFCMBHx8ctjn+VfpD+0S8cf7Lfy9zuClIVguYGrVSEdJ62Inm/1t4j4THnjZBMrYGGf4B81K3cSqcYKl3aa91DAyN9vJppI8/XwTs8e79YB2enubS34B11BYvkYUkomwx6+MadTQuPEsL1X/oFtV6t7dZ9XzMRJKwo+lz2CfzRkyjpnGueAc5RxS3tIZlnKnolsEzl/YZ95D4WM1qOtJmS88xTx9OhNrzdHfUS02t1rEXaFKepFsqUsU2EPWTMNUmvlb4s6fyBkpj/WGhhd5DMxMoqC3926gNz9yLgp65xqQtoip+i4etDYoxqjQWPHky40MW9hn3lPmsqe8Wbeb0q4etDFC/o9+Jsr/9FAa1UpluiVZedocbJKzt+jedAUe6yItt2d4vXTAGmzRC7Ug12P1RgzZZ2bkbbICYlb3B9uVofFUvbMFBsrmuaEvG/cyw7LZNhY5KSamncZd4+KI/d98HeqCkFPa2/edpdvIb4t3xzyOAh5d6987KLoaTEcNhp44g2MLrKWxEEPVkBUw+sfxqvrpJuQtsgo4r6xMjws2yKGeuMKr4wCLmGP0t7JQBhFSlJNKJoaO73e7Gfp++A/EnC1LEEQNHPZVq0/wMno/rJGu4i6WUxEje1wMl/f1SpbMIL/0H3i4nVoFIWALhtKW5TyWdKKwG2XEleH31D2lPXnXSjkySqKbeatKqqp7NlYyiQr6NmdXl8H/9VkjuEW8/2wR9zNTPscj+4P8nYRdbMYGTJknTNmcK9FvmgG//vExesoaEbWOZZYoyQEHtUeN3xL2TPXQNlzddvFyx7zBkvZs/68pZTGjqdHmxn7OvgfpLsXdou7jQbcDPmcXJzcv8pNFBK2Cv5+7zCKlGQbpD9EwZADsEuJK4BPbyzrvGEFQZt0dIOhcJlpoOy5aRqaeG01bwdpUX/eiWwSXfTuTq+vg/96qvXuXthZ+cfzcVRF8PVffh8///T+zs+55BxT/pqK1T2HoqimsmcdVyspESUjLWSnlJcHB5kGMr/bxh42KXEFQ9kzq5TrKnta8/b2oKZ9LQwl1/oF/GtbpotXj/oW923wL5V1NtKFAwV/l+rCo3mIm4p+Ye9+Seh4Pk4sH+N44PiRjPd+wacLcvXSH8ll8sIofbXTyt+LKW9ch3jKNPZw2ycI+oSHpCooZGsffsZN97KAjebtEV6SioBS7d3ehtkE1qvNjH0b/DfTBaRsvcbfIugMEq9j8jyXNGrhjwdtFvylSk7USX9s3iGtGAfoPjvlgBUPqQbfloSp7R7scQvHSnyan1gDZc9Exph3wBvt1LDajlf1E1eVusqesaTpW9yjN72+Df6r2zX+Bwv+lqxzLWYSMwCcCJ440O+/X/HiICtqa/sU126RUoyPlZ3SPl7VT0ERxOusgFNmoAj6es/YoxYBZ4i4opKO1w7+qZzp4tWDhia18DrDpBSFdJ2eFmvH4x8E/97ioN29FmFXmES+dhPIbGIWgWA6MF3zOb2IV7jJKDqyRg44sXiTpFDRhANHAyOMXmJH1nmh5nPS5udhKND7Ri4WQVeEpKqQitWWOshYhibB3jM0qUXAZezeljdrd7NbFo5Bb2/e9Po3+B9Q18ei4co/OcO4bxyX2ps1wLXwql7SqiSVq14JkV+9xYrw4rVRygfAbwaD1Y3Zms/Jmh2hQyH7BMFtZc9EbWXPeM7YFUyYndB2IOgx5r1aR8pkLnEPgDNj5zsxpCNnEPwPkfaxDnyrMZuYtV2+H8DvCJBUFGLx6nPXYndZUzwEXPY57AUImfns9UTtlX+2ZFRBjUR6z9WpFtGAoewZS9ZWuFzNLxItSVvNeyhodLNvJGunfZYyM4yUypw6/XinhnWk9G3wX03kCLg13I6DiTKFnCHihXjN9MdscpYTAXvl+wGCzjBlIVirth2WkmB2jhWnxoSv95yN6mF5tNaTdc6XkqhS2urGN2qK2iWztXP+ayLJWNleO9zhsFGiHcvUnve6vsV4SUXRejO92ZfBP5Er8qWrS1yaPrjPasgVoqSXyJT2t4DH83Hi+bgtV/7WCnhtc2b/g5kNXHqGdUeRU6H6jle9RtRcCcbrBINEaYNgWbQsF3I/MxEybuK1lD0L+RwLDp1RtTfz3rWwlD0TNZQ9pZQsqwVGZG+WeUKfBv//42tvs5kp8GvPXTjw76js8t2LVeljtxp/gIjfyIVuVckB6+u32VAUckqR06HTnR5aWxk3dY1S+dqlfwtqlgndPqt+gLDHkOXO1FA0ff2t75BWFKYCNR1de5LpsLHISRWqF3XMrd8jpQpGXb1b0NF3wf/2Woo/+Nt7/N0njvHIIVb+lrhbtUNfu5Z5AgxbxiZVjC625t/irtPYAtst+I8NH0NISapGb0dyc4lZh8KE0z55b2is7PnG3e8AcHbqiY6NqRMMe0MoUpKuoez58o2/AWB66OALyG7Td8H/M39xHY9D5Vc+cu5Qv6feyn82OYsiFNuVecKOsUk6tz/9kVi6yW0z/3k6bK/g7/RGCOo62XJ1XaOX3vwqBUVwKtK7waAajZQ95zZfB+DJCz/UyWG1HUVR8OuCtJ6t+vitxZcAuHDyPZ0c1pHSV8H/b26s8vW3VvnvPnDmwFU+FtuGLlVWgrOJWSZ8EzjV3tT5rsdQ2Eh/ZKrseMprt7nmCOJRPYx57VPuCIAQ+HXI1AgG1+e/D8DFk093clRtx1D2FGTJV318Nb+AV5dMR+y3y/XoKpkaYn6LyTu4dJ1L53r3/e6b4F8s6/yPX3qTU8M+PvXUyUP/vm1xt1z14G/HfD9A0DQzz5b250JdiXu87XJzKnzKVoeeFvVkneeSb6NKybvOva/Do2o/PukgW0PUbl0kGC+37onRC9RT9lwtrzFZUnC7PVUf7wX6Jvj/4XdnuLOW5jc/dgGndvhpbwf/PSt/KSUzyRlbVvoAeDUvipTkquSAw7l5Fp3Cdvl+C6/UyNYIBkvlNcZLCj5Xb8r71sOLk4yyX9Ijl0mx6JCM2azSx8KDu6ay56qSY0Tv7UbGvgj+G6k8//yrN3nf2RHef+5oWu+dqhOP5tl34BvLx0gWkrZd+Qsh8OuC/N4VcGYThRRx1X5lnhYe6SBTQ9doUcsxodtHz74Sn+IhpUIpt1vK++aN77KmqUwFHujSyNqLR/GSUAWUdqe8UukNljUYcfR2L0tfBP//9Ss3yRbK/ObHLhzp9jTsCu878LVzpY+FTyrkxO4vRHzxbe457FnpY+EV1VeCK6t3WXSoTLrtd8AP4FMNZc9EbH3X9et3vg3AuUl7VfpY+NQAcUVB7lH2fPn615FCMBk826WRHQ22D/5vLMb5ty/M8rPvPsmDo0e7Mgu5QvvE3ewq5VyJDwf5PemPtZnr3HFqgH2Dv0fxkFbY19X9wptfBuBU9JFuDKvtbCt7xnZXeC1svQHAlXPv7caw2o7PGSKjKCS2dks83Jh7AYAz0092Y1hHhq2Dv5SS3/rzN4l4nfzSB84c+e8POfeLu80kZowyT789V4FguDtlFJ1SeWcVnFm+yR3NiSpUjgWPdXF07cOnBSgLwUZm927vxtKLADz2gP0Oe2FH2TO5R9lzPT+PJuFkxJ5pvoDLaPRa2ri36/r81g0Anujx8lZbB39dwrPnRvn1Hz5PyHv0+hshV2jfga9V5mknOeO9+BQPGVUSy+yUwcnNO1x3ejkWOIZDsefcLVnnpY3dukbzqTt4dMmjD767G8NqO2HTn2ArPr/r+rqSYLTsRFO0bgyr7QRNRdO12O5u9pXiCiMlyWiot81rbB38VUXwC88+wE9eac9KtJqy50xyxtb5fjAaf5KKIJ7Ymbs3OcNdp9O2KR/YkXVe2SNqtyQ3mS6qaJo9g+BwwOhajlUoXKbjGyw6JONabwfAegyZ/tubexRNV0Wa0XLvlnha2Dr4txvrwNfKAUspmUvM2bbSxyLgDJJUFBJbOwqXocICy5puu87eSkLmSnAjvrMSlFIyrxUY5+BSIfc7o6bCZaJC2XPmxgvMaRpTAfu+3yNDRuo2ltk56NbzaRYckmF1pFvDOjIGwf8QhFwhyrJMumiUwG3lt0gWk7Y+7AUIu6PoQrBpulplk1ukHGl0Yd/DXoAhU9Y5ltpZAd+af4OEqjDlse97Ph4xFE3T+R2Fy7fv/S26EJy3aaUPwGTEvOlVzPutt/+WjKIw7u/9z/kg+B+CoHO3uNtswnB5snvaZ8j0ao2ZxiYLd97krlnmadcaf4DhkCnrnN3YvvaDG18D4PTI5a6MqRNELGXP0k6az6r0efz0U10ZUyc4FjZ6gtIViqaWkN2p8d40cKlkEPwPwba4m3noa2cp50pGTGXPRNrIhW7Nv8WdPgj+Y0P7ZZ1vrbwCwJWzH+jKmDqB9TnPVIjabRSMw9/TNq30AQi7/ahSki7tNLfNbF4H4PLZ3q/sGgT/Q7BX32cmMYMqVKbMgyK7Mhw2VsApU9kzt3KLuw4HY55RfI7ebnmvx8jwNA4pd60E5zP3iJbKPHjy0S6OrL3sU/aUki0lzlDZgddhPzkLC6ubPV3Rzb6SXcCtSy6M9f5NbxD8D8Helf9ccs72ZZ4AQb8R/LPmCliN3eWm080pGx/2AmjuAMGyTqZiJbhEjOmSA6HY96u0V9kzsb7IvEPYutLHwqtrZCoUTVdJMFZyotjg/T6SGQghfkUIIYUQwxXXfl0IcUsIcUMI8ZGK608IIa6Zj/226GE5QMvQxSr3nEnYv8wTIGQqe+bMHLAvPcOMQ7X1YS8AQuDTIWOugIvlIgtaiXEx1OWBtR9fhajd/M0XuevQOGbjSh8Lr3SQVkxF02KOJUeZYZu834cO/kKIY8CHgNmKaw8BnwAeBp4DfkcIYTml/y7waeCM+ee5w46hW1ia/rF8DCkls8lZ21f6wM5Bd15PUSrrCLlCTrF3pY+FX1fISmMlePXeSxQVwbS391MAjfDiImsqe87Mfo+conBuqvcPPRvhES7SwuhkX519lSVNY9RrjwXeUaz8/3fgV4FKwZPngc9LKfNSyrvALeAdQogJICil/K40iuP/EPj4EYyhKzhUBz6Hj3g+zkZug3Qx3Rcrf4/mQZOQlxnmVzdIOY00iJ1r/C08UiNjroBfetuw8nvQBpUfjfAJN0kVysU8y2alz+Xj9p+3R/hIqgKKOa7e+iYAJ4btoeF0qOAvhPhRYEFK+dqeh6aAyjbIefPalPnz3uu1fv+nhRAvCiFeXFvbbxt4PxByGl2+Vpmn3St9wDgI80lBQeRZuvcWd01BNztX+lh4cWyvgG+vXUWRkivn7FvpY+HT/MQVhVRsjc2i8RV+IGxPKedKfJqh7KlntrizchWAiw/0rntXJQ370YUQXwWqCVf/BvCPgQ9Xe1mVa7LO9apIKX8P+D2AK1eu1HxeN7H0fWaTZvDvg7QPGDngvCgQX7jBHYeDgOYl6rb/AaBHuEkLw8pxMT/PtCwzPn2+y6NqPwFHkHhRJbm5ypaSwKf7ibgi3R5W2/E5QmSLCpsbCyxnZxEuyZPHL3Z7WEdCw+AvpfxgtetCiEeAU8Br5pntNPCyEOIdGCv6SkGdaWDRvD5d5XrPYun7zCZmUYXKpFkJY3f8wklOyZJZfpu7DgenQ6dtaeW3F4/iJa3GKOtllkSC00UX9MG8g64IybzC5u0XmHMKxtWhvni/A+5hKMLy5iyr+hbRsobX4e72sI6EA6d9pJTXpJSjUsqTUsqTGIH9cSnlMvBnwCeEEC4hxCmMg90XpJRLQFII8S6zyudngT89/DS6hxX8ZxIzTPmnbKtouRef4iar6ojN29x2OjkdOXrJ7PsRr2Z4QszGFlhVy4wr9rQw3IulaxS7+y3uOhx9UekDEPYblW0bW/dYUosMS/toOLWlWFVK+QbwBeBN4D8CvyiltPzvfgH4LMYh8G3gr9oxhk5hibv1S6WPhV8zlD1H9Dtsqkpf5PsB/E6jt+Ovr/05Ugim/fbPewNE/UbmN5d6jS1V5cLUY10eUWeIBkxJj+VXmHVojLjs08B5ZBq05uq/8t+fAT5T5XkvAvZImmGUPcYLcfLlPI+P2r/6wSLoDBDPqzidi8BIX5R5AgTcQ5CCV2aNSp9zk73t5tQso2ZX96IjDkS4OGGPipdGjESM7PVc/A1yAYWpyENdHtHR0fttal0m7AqjS51MKdNXK/+QO0JKEcw5jY9QvwT/kNdI89wu3MWj6zza425OzTJhyhu/4nYB/VHWCzBpzvu2MBoaLxx/VzeHc6QMgv8hsfR9wP5qnpUM+YeRQnDN7cLZRwfdQ35D1G5FK3CqUCZsA42XZoh6jUquV90uHFJhwjfR5RF1hmMh42b/mtsJwLtO2UfDaRD8D8mu4B/on+A/EjC07V91OTnhnUBV1AavsAeWqB3AZNnTF5U+sPM531RVxtRI37zfPqcXTUpWNQ2PLpjw2+eAfxD8D4kl7qYJjQl/f6yGACKmtV8/VfoAjA/v3ODH1dEujqSzWMqeAMf8/bHbAVPZs2yEyWHdb6vy1kHwPySWuNtUYMq2RtbVCFbc6E4PneviSDpLZGgCj25ovUwHz3Z5NJ3DUvYEuDB5qcuj6SxeaexyhrVqva69yyD4HxJr5d8Psg6VBL0721+7SzlXojq9BHVjCfzQ9Lu7PJrO4pXGYe+FsQtdHkln8Uoj3z9hs5v9IPgfkqAziCKUvjrshd1nHf1S6QOAEPjLEC2VOX/hPd0eTUcZihrvc1+93xiSHgAPTl3p8kiOlv7JU7QJTdH4Z+/9ZzxiE6W/ZrFknQWi72580yWF08U8nmh/7faGfRHejvffQifnOQul7/HOE/ZKdw2C/xHwkZMfafwkm+HW3DgVJ6PeUdyaPbROmuVXcyMIWeqbSh+LE4ETbEY2camubg+lo5yfPMud2bcwdxMAAARuSURBVJe4MGyvg+5B8B9wYIKuYN/IOlRy/FOf7fYQusIvX/llinqx28PoOP/oqU/zM5c+ajt71kHwH3Bg/sFj/4BjgWONn2g3ov2h57MXp+rEqTq7PYyOE3KFdp1x2YVB8B9wYH78zI93ewgDBgw4IINqnwEDBgzoQwbBf8CAAQP6kEHwHzBgwIA+ZBD8BwwYMKAPGQT/AQMGDOhDBsF/wIABA/qQQfAfMGDAgD5kEPwHDBgwoA8RUspuj6EphBBrwMwBXz4MrB/hcHqFwbz7i8G8+4tm531CSjmy92LPBP/DIIR4UUppLz3WJhjMu78YzLu/OOy8B2mfAQMGDOhDBsF/wIABA/qQfgn+v9ftAXSJwbz7i8G8+4tDzbsvcv4DBgwYMGA3/bLyHzBgwIABFQyC/4ABAwb0IbYO/kKI54QQN4QQt4QQv9bt8bQTIcS/EkKsCiFer7g2JIT4ihDibfPvSDfH2A6EEMeEEH8jhLguhHhDCPFL5nVbz10I4RZCvCCEeM2c9/9gXrf1vAGEEKoQ4hUhxJfMf9t+zgBCiHtCiGtCiFeFEC+a1w48d9sGfyGECvxfwA8DDwE/JYR4qLujaiv/D/Dcnmu/BnxNSnkG+Jr5b7tRAn5ZSnkBeBfwi+b7bPe554EfklI+ClwGnhNCvAv7zxvgl4DrFf/uhzlbvF9Kebmivv/Ac7dt8AfeAdySUt6RUhaAzwPPd3lMbUNK+S1gc8/l54F/bf78r4GPd3RQHUBKuSSlfNn8OYkRFKaw+dylQcr8p8P8I7H5vIUQ08DfAT5bcdnWc27Agedu5+A/BcxV/HvevNZPjEkpl8AIksBol8fTVoQQJ4HHgO/TB3M30x+vAqvAV6SU/TDvfw78KqBXXLP7nC0k8GUhxEtCiE+b1w48dzsbuIsq1wZ1rTZFCOEH/gPwD6WUCSGqvf32QkpZBi4LIcLAF4UQF7s9pnYihPgYsCqlfEkI8Wy3x9MF3iOlXBRCjAJfEUK8dZhfZueV/zxwrOLf08Bil8bSLVaEEBMA5t+rXR5PWxBCODAC/x9JKf/YvNwXcweQUsaAb2Cc+dh53u8BflQIcQ8jjftDQoh/g73nvI2UctH8exX4IkZq+8Bzt3Pw/wFwRghxSgjhBD4B/FmXx9Rp/gz4lPnzp4A/7eJY2oIwlvi/D1yXUv5vFQ/Zeu5CiBFzxY8QwgN8EHgLG89bSvnrUsppKeVJjO/z16WUn8TGc7YQQviEEAHrZ+DDwOscYu627vAVQnwUI0eoAv9KSvmZLg+pbQgh/i3wLIbM6wrwT4A/Ab4AHAdmgZ+UUu49FO5phBBPA98GrrGTB/7HGHl/285dCHEJ44BPxVjEfUFK+VtCiCg2nreFmfb5FSnlx/phzkKI0xirfTDS9f+vlPIzh5m7rYP/gAEDBgyojp3TPgMGDBgwoAaD4D9gwIABfcgg+A8YMGBAHzII/gMGDBjQhwyC/4ABAwb0IYPgP2DAgAF9yCD4DxgwYEAf8v8DYBt53NcXiyUAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "time_s = np.s_[:50]  # After this they basically agree\n",
    "fig1 = plt.figure()\n",
    "ax1 = fig1.add_subplot(111)\n",
    "idx = np.asarray(series.index)\n",
    "h1, = ax1.plot(idx[time_s], res_f.freq_seasonal[0].filtered[time_s], label='Double Freq. Seas')\n",
    "h2, = ax1.plot(idx[time_s], res_tf.seasonal.filtered[time_s], label='Mixed Domain Seas')\n",
    "h3, = ax1.plot(idx[time_s], true_seasonal_10_3[time_s], label='True Seasonal 10(3)')\n",
    "plt.legend([h1, h2, h3], ['Double Freq. Seasonal','Mixed Domain Seasonal','Truth'], loc=2)\n",
    "plt.title('Seasonal 10(3) component')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "time_s = np.s_[:50]  # After this they basically agree\n",
    "fig2 = plt.figure()\n",
    "ax2 = fig2.add_subplot(111)\n",
    "h21, = ax2.plot(idx[time_s], res_f.freq_seasonal[1].filtered[time_s], label='Double Freq. Seas')\n",
    "h22, = ax2.plot(idx[time_s], res_tf.freq_seasonal[0].filtered[time_s], label='Mixed Domain Seas')\n",
    "h23, = ax2.plot(idx[time_s], true_seasonal_100_2[time_s], label='True Seasonal 100(2)')\n",
    "plt.legend([h21, h22, h23], ['Double Freq. Seasonal','Mixed Domain Seasonal','Truth'], loc=2)\n",
    "plt.title('Seasonal 100(2) component')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "time_s = np.s_[:100]\n",
    "\n",
    "fig3 = plt.figure()\n",
    "ax3 = fig3.add_subplot(111)\n",
    "h31, = ax3.plot(idx[time_s], res_f.freq_seasonal[1].filtered[time_s] + res_f.freq_seasonal[0].filtered[time_s], label='Double Freq. Seas')\n",
    "h32, = ax3.plot(idx[time_s], res_tf.freq_seasonal[0].filtered[time_s] + res_tf.seasonal.filtered[time_s], label='Mixed Domain Seas')\n",
    "h33, = ax3.plot(idx[time_s], true_sum[time_s], label='True Seasonal 100(2)')\n",
    "h34, = ax3.plot(idx[time_s], res_lf.freq_seasonal[0].filtered[time_s], label='Lazy Freq. Seas')\n",
    "h35, = ax3.plot(idx[time_s], res_lt.seasonal.filtered[time_s], label='Lazy Time Seas')\n",
    "\n",
    "plt.legend([h31, h32, h33, h34, h35], ['Double Freq. Seasonal','Mixed Domain Seasonal','Truth', 'Lazy Freq. Seas', 'Lazy Time Seas'], loc=1)\n",
    "plt.title('Seasonal components combined')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### Conclusions\n",
    "\n",
    "In this notebook, we simulated a time series with two seasonal components of different periods.  We modeled them using structural time series models with (a) two frequency domain components of correct periods and numbers of harmonics, (b) time domain seasonal component for the shorter term and a frequency domain term with correct period and number of harmonics, (c) a single frequency domain term with the longer period and full number of harmonics, and (d) a single time domain term with the longer period.  We saw a variety of diagnostic results, with only the correct generating model, (a), failing to reject any of the tests.  Thus, more flexible seasonal modeling allowing for multiple components with specifiable harmonics can be a useful tool for time series modeling.  Finally, we can represent seasonal components with fewer total states in this way, allowing for the user to attempt to make the bias-variance trade-off themselves instead of being forced to choose \"lazy\" models, which use a large number of states and incur additional variance as a result."
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