Lecture16_Engagement.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "9741c481",
   "metadata": {},
   "source": [
    "# Engagement\n",
    "\n",
    "In this notebook we will calculate the engagement coefficient for several movies.  This is based on the model in \"Social Media Engagement and Cryptocurrency Performance\"  https://arxiv.org/abs/2209.02911.\n",
    "\n",
    "\n",
    "Below is the overview of this notebook.\n",
    "\n",
    "\n",
    "<ol type = 1>\n",
    "    <li> Data processing</li>\n",
    "    <li> Plot engagements for each interaction type</li>\n",
    "    <li> Calculate engagement coefficients and interaction strengths</li>\n",
    "    <li> Plot Model Parameter Estimates</li>\n",
    "        <ol type = a>\n",
    "           <li>Plot engagement coefficients</li>\n",
    "           <li>Plot Interaction Strengths</li>\n",
    "        </ol>\n",
    "</ol>\n",
    "\n",
    "This notebook can be opened in Colab \n",
    "[![Open In Colab](https://colab.research.google.com/assets/colab-badge.svg)](https://colab.research.google.com/github/zlisto/social_media_analytics/blob/main/Lecture16_Engagement.ipynb)\n",
    "\n",
    "Before starting, select \"Runtime->Factory reset runtime\" to start with your directories and environment in the base state.\n",
    "\n",
    "If you want to save changes to the notebook, select \"File->Save a copy in Drive\" from the top menu in Colab.  This will save the notebook in your Google Drive."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "77f103fe",
   "metadata": {},
   "source": [
    "# Clones, installs, and imports\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "52020612",
   "metadata": {},
   "source": [
    "## Clone GitHub Repository\n",
    "This will clone the repository to your machine.  This includes the code and data files.  Then change into the directory of the repository."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "a01c0080",
   "metadata": {},
   "outputs": [],
   "source": [
    "!git clone https://github.com/zlisto/social_media_analytics\n",
    "\n",
    "import os\n",
    "os.chdir(\"social_media_analytics\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f5da7ee8",
   "metadata": {},
   "source": [
    "## Install Requirements \n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "fd315696",
   "metadata": {},
   "outputs": [],
   "source": [
    "!pip install -r requirements.txt --quiet\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "98fe559d",
   "metadata": {},
   "source": [
    "## Import Packages"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "098e8115",
   "metadata": {},
   "outputs": [],
   "source": [
    "from scripts.api import *\n",
    "from scripts.TextAnalysis import *\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "import pandas as pd\n",
    "import datetime\n",
    "\n",
    "pd.set_option(\"display.max_colwidth\", None)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "86a296b2",
   "metadata": {},
   "source": [
    "# Data Processing\n",
    "\n",
    "\n",
    "We create a list `keywords` of the keywords that identify the tweets for each movie.  We then add a column `keyword` to the tweet dataframe `df` that has the keyword.  We also add binary `keyword_{keyword}` columns for each keyword.  We then add columns for the engagement of each interaction type (like, retweet, reply).  Engagement is the interaction count divided by the impression count.  Finally, we only keep the rows where the engagements are less than one (the Twitter API has some bugs where the impression count is less than the interaction count).\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "64529e65",
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "#AntManAndTheWasp: 1127 tweets \n",
      "#JohnWick4: 1137 tweets \n",
      "#ShazamFuryOfTheGods: 1197 tweets \n",
      "#DungeonsAndDragons: 1016 tweets \n",
      "#CreedIII: 1093 tweets \n",
      "#ScreamVI: 1109 tweets \n",
      "#KnockattheCabin: 1003 tweets \n",
      "#CocaineBear: 1112 tweets \n",
      "9675 total tweets\n"
     ]
    }
   ],
   "source": [
    "fname_db = f\"data/engagement_movies\" \n",
    "df = DB.fetch(table_name='keyword_tweets', path=fname_db)\n",
    "keywords = ['#AntManAndTheWasp','#JohnWick4','#ShazamFuryOfTheGods',\n",
    "            '#DungeonsAndDragons','#CreedIII','#ScreamVI','#KnockattheCabin',\n",
    "           '#CocaineBear']\n",
    "\n",
    "df['keyword'] = None\n",
    "for keyword in keywords:\n",
    "    ind =  df.text.str.contains(keyword, case=False)\n",
    "    df[f'keyword_{keyword}'] = ind\n",
    "    df.loc[ind, 'keyword'] = keyword \n",
    "    print(f\"{keyword}: {len(df[df[f'keyword_{keyword}']==True])} tweets \")\n",
    "\n",
    "df['like_engagement'] = df.like_count/(df.impression_count+1)\n",
    "df['retweet_engagement'] = df.retweet_count/(df.impression_count+1)\n",
    "df['reply_engagement'] = df.reply_count/(df.impression_count+1)\n",
    "\n",
    "df = df[df.like_engagement<=1]\n",
    "df = df[df.retweet_engagement<=1]\n",
    "df = df[df.reply_engagement<=1]\n",
    "\n",
    "print(f\"{len(df)} total tweets\")\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e6bb3747",
   "metadata": {},
   "source": [
    "# Plot Interaction Engagements\n",
    "\n",
    "We first plot the engagements for each interaction type for each movie."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "596ad127",
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
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Y6tatK0dHRwUHB+ujjz6SlBSEa9asaQvUO3bs0JQpU3T06FFFRUUpISFB9+7d0927d5U7d24NGDBAffv21Q8//KDGjRurTZs2dnVKsus/b968KlWqlI4dO/bAPl1cXOTi4pJie3yiZDE99m17qPiSzR95zI4ZXR55TEZzdnbOdr9g7ped+6d3es+OsnP/6d17et9H1lT/A+XKlZObm5s6d+6sn376SW5ubmrUqJHOnTsnNzc3lStXznbsokWLdOTIETk5Odk+jhw5ooULF9qN+fcvrMlkksViSXNN5cuXV+nSpfXaa6+pTJkyKl++fIpjVq9ercGDB6t79+764YcfFBERoTfffFPx8fbP8T+qlkWLFunmzZtydXW19RQaGqqlS5cqMTHxoeNk1BMj91/LZEpKl8k1WywWvfXWW4qIiLB9/Prrrzp16pQt9NepU0c5cuRQWFiYduzYoeDgYElStWrVdPv2bZ08eVI7duywLf04f/68QkJCVL58ea1du1aHDh3Sv/71L0myrdHq2bOn/ve//6lz5846fPiwqlWrpo8//viRvSTXDwAAnh7MVP8DoaGhMpvNatSokaZPn66qVauqY8eO6tatm5o1a2YLeIcPH9bPP/+ssLAw5c2b13b+X3/9pXr16un3339PNfymJkeOHHaBNTXdu3dXv3799Nlnn6W6f/fu3apdu7b69etn23bmzJk0XT/Zn3/+qX//+99auXKl3R8PFotFL7zwgr777ju1aNHikePkyZNHvr6+2r9/v212PyEhQYcOHVKVKlUeq6ZHqVKlio4cOWJbmpKaXLlyqUaNGgoLC9OuXbs0fPhwSUmz57Vr19ayZct07tw5W6j++eeflZCQoFmzZsnBIelv09WrV6cY19/fX3369FGfPn00atQozZ8/X++8845t//79+23vFnPr1i2dPHlSpUuXTrfeAQBA5iBU/wNFihTRlStXdPXqVbVq1UoODg46evSoWrduLT8/P9txCxcu1PPPP59iSYiU9LT/woULNWfOnDRdMyAgQAcOHLDNht8f0pP16tVL7dq1k6enZ6pjBAYGatmyZdqyZYuKFi2q5cuX6+DBgypatGjaGlfS+zR7eXmpXbt2tjCZrEWLFlq4cGGaQrUkDRw4UNOmTVOJEiVUpkwZzZ49O8Wa6fQwcuRI1axZU2+//bZ69eql3Llz69ixY9q6davdzHGDBg1sX4/7g31wcLA+/PBDW/CWpOLFiyshIUEff/yxWrZsqfDwcH3++ed21x00aJCaN2+ukiVL6tatW9q+fXuK98OeOHGivLy8VKBAAY0ZM0be3t6P9Y/fAACAJwPLP/6hsLAwVa9eXTlz5tSBAwdUsGBBu0AdHx+vr776Sm3atEn1/DZt2uirr75KsfTiQYYNGyZHR0eVLVtW+fLlS/X9p52cnOTt7S0np9T/VurTp49at26tDh06qEaNGvrzzz/tZq3TYtGiRXr11VdTBOrknjZt2qSrV6+maayhQ4eqS5cu6tatm2rVqiV3d3e9+uqrj1VPWlSsWFE7d+7UqVOn9MILL6hy5coaO3asbe11sgYNGig6Olp16tSxu4fBwcGKjo5W7dq1beuZg4KCNHv2bH344YcqX768vv76a02dOtVuvMTERL399tsqU6aMmjVrplKlStneGSTZtGnTNHDgQFWtWlWXL1/Wxo0blSNHjnS/BwAAIGPx7h9AFkh+949bt2498JmFtIiKilKePHlUbVD6v/tHWhzKwhcqms1mhYaGKiQkJFu+aCc790/v9J7depeyd/8Z1Xvy79D0evcPZqoBAAAAgwjVAAAAgEG8UBHIAvXr18+wtxcEAACZj5lqAAAAwCBCNQAAAGAQoRoAAAAwiFANAAAAGESoBgAAAAwiVAMAAAAGEaoBAAAAgwjVAAAAgEGEagAAAMAgQjUAAABgEKEaAAAAMIhQDQAAABhEqAYAAAAMIlQDAAAABhGqAQAAAIMI1QAAAIBBhGoAAADAIEI1AAAAYBChGgAAADDIKasLAGDc9++1lZeXV1aXAQBAtsVMNQAAAGAQoRoAAAAwiFANAAAAGESoBgAAAAwiVAMAAAAGEaoBAAAAgwjVAAAAgEGEagAAAMAgQjUAAABgEKEaAAAAMIhQDQAAABhEqAYAAAAMIlQDAAAABhGqAQAAAIOcsroAAMZdmtNYd3MkZHUZmSrRwUWqMFYXP6wlR0tcpl238LjDmXYtAMDTg5lqAAAAwCBCNQAAAGAQoRoAAAAwiFANAAAAGESoBgAAAAwiVAMAAAAGEaoBAAAAgwjVAAAAgEGEagAAAMAgQjUAAABgEKEaAAAAMIhQDQAAABhEqAYAAAAMIlQDAAAABhGqAQAAAIMI1QAAAIBBhGoAAADAIEI1AAAAYBChGgAAADCIUA0AAAAYRKgGAAAADCJUAwAAAAYRqgEAAACDCNV4qowfP15BQUFPxbVNJpM2bNiQYfUAAIAnB6EaGer69etydnZWTEyMEhISlDt3bkVGRtr2BwQEaO7cuZlaU8eOHdW8eXO7bd99951MJpPGjh1rt33SpEny8/OTJA0bNkzbtm3LkJreeustmUymTL8XAAAgfRCqkaH27dunoKAgubq66tChQ8qbN68KFy6cpTU1aNBAe/bsUUJCgm1bWFiY/P39tWPHDrtjw8LC1KBBA0mSm5ubvLy80r2eDRs26MCBA7bwDgAAnj5OWV0Anm179+5VnTp1JEl79uyxff4gkZGReuedd7Rt2zY5ODioWbNm+vjjj1WgQAG745YvX66xY8fq1q1bat68uebPny93d3dJUv369VWxYkXlzJlTCxYsUI4cOdSnTx+NHz9eUlKovnPnjn7++WfVrFlTUlJ4fvfddzV48GDFxMTI1dVV8fHx2rdvnz766CNJScs/NmzYoIiICFsdixYt0qxZs3T69GnlzZtXbdq00SeffJJqbxMnTtS//vUvbdmyxbaM5NKlS+rfv7+2bNmil1566bHuLVKa8ounbsY5Zug1nDp1ytDxU5MvXz7Nmzcv068LAEg7QjXSXWRkpCpWrChJiomJkaOjo5YsWaLY2FiZTCZ5enqqU6dO+vTTT+3Os1qteuWVV5Q7d27t3LlTCQkJ6tevnzp06KCwsDDbcWfOnNGGDRu0adMm3bp1S+3bt9e0adP0wQcf2I5ZunSphgwZogMHDmjfvn3q1q2b6tSpoyZNmqhkyZLy8/PTjh07VLNmTUVHR+u///2vNm3apE8++UTh4eFq0qSJ9u/fr9jYWNtM9d999tlnGjJkiKZNm6bmzZvr9u3bCg8PT3Gc1WrVoEGDtGHDBu3Zs0clSpSQJFksFnXu3FnDhw9XuXLl0nRv4+LiFBcXZ3scFRUlSUp0cFaiQ8aGySdNokMOu/9K0s14J/0Zl8FPwF29mrHjp8JqtcpsNtttS3789+3ZAb3Te3aUnfvPqN7TezxCNdKdn5+fIiIiFBUVpWrVqmn//v1yc3NTUFCQNm/erMKFC8vNzS3FeT/++KN+++03nT17Vv7+/pKSZqTLlSungwcPqnr16pKSwuiSJUtsM9OdO3fWtm3b7EJ1xYoV9f7770uSSpQooU8++UTbtm1TkyZNJCXNZoeFhWnUqFHavXu3SpYsqXz58ik4OFhhYWFq0qSJbUlI8eLFU+1z8uTJGjp0qAYOHGjbllxjsoSEBHXp0kU///yzwsPDVahQIdu+Dz/8UE5OThowYECa7+3UqVM1YcKEFNuPlxksV1fXNI/zLDlSbqTt8/ifF0v3orOwmowRGxur0NDQVPdt3bo1k6t5ctB79pSde5eyd//p3XtMTEy6jkeoRrpzcnJSQECAVq9ererVq6tSpUoKDw9XgQIFVK9evQeed+zYMfn7+9sCtSSVLVtWnp6eOnbsmC2wBgQE2AK1JPn6+uratWt2YyXPlD/omAYNGmjQoEEym80KCwtT/fr1JUnBwcH6+OOPJSUtCWnYsGGqtV67dk1//PGHGjVq9NB7MXjwYLm4uGj//v3y9va2bT906JDmzZun//73vzKZTA8d436jRo3SkCFDbI+joqLk7++v0sfmyDOHJc3jPAsSHXLoSLmRKnfkQzla4iVJBRxyK0fOjJ2pdvTwydDxU+Pt7a2QkBC7bWazWVu3blWTJk3k7Oyc6TVlJXqn9+zWu5S9+8+o3pOf7U0vhGqku3Llyun8+fMym82yWCxyc3NTQkKCEhIS5ObmpiJFiujIkSMpzrNarakGzL9v//sPlMlkksViHygfdUyDBg109+5dHTx4UDt27NDw4cMlJYXqLl266ObNm9q3b5+6du2aao+5cuV6xF1I0qRJE33zzTfasmWLXn/9ddv23bt369q1a3Yv2kxMTNTQoUM1d+5cnTt3LtXxXFxc5OLikmK7o8UsR0tCKmc8+xwt8XK0JC2JGRMU94ijjSs8bsejD8pEzs7O2e4XbDJ6p/fsKDv3n969p/d95N0/kO5CQ0MVEREhHx8fffXVV4qIiFD58uU1d+5cRUREPPBp7LJlyyoyMlIXLlywbTt69Khu376tMmXKpGuNxYsXl7+/vzZu3KiIiAgFBwdLSprRDggI0KxZs3Tv3r0Hrqd2d3dXQEDAI99i7+WXX9aKFSvUs2dPrVy50ra9c+fO+u233xQREWH78PPz0/Dhw7Vly5b0axQAAGQKZqqR7ooUKaIrV67o6tWratWqlRwcHHT06FG1bt36oW8b17hxY1WsWFGvv/665s6da3uhYnBwsKpVq5budTZo0ECffvqpAgMD7d5dJHkJSLFixR769n/jx49Xnz59lD9/fjVv3lzR0dEKDw/XO++8Y3fcq6++quXLl6tz585ycnJS27Zt5eXlleLt+ZydneXj46NSpUqlb6MAACDDMVONDBEWFqbq1asrZ86cOnDggAoWLJhqoLZYLHJySvrbLvlfIHzuuedUr149NW7cWMWKFdOqVasypMYGDRooOjratp46WXBwsKKjox84S52sa9eumjt3rj799FOVK1dOLVq00KlTp1I9tm3btlq6dKk6d+6sdevWpVcLAADgCWGyWq3WrC4C2VNiYqI8PDy0dOlStW3bNqvLeSpFRUUpT548+nVMkDxzZK811YkOLvqtwlhVPDzJtqY6MxQedzjTrvUwZrNZoaGhCgkJyXbrK+md3rNb71L27j+jek/+HXr79m15eHgYHo/lH8gSFy9e1LJly5SYmKi6detmdTkAAACGEKqRJYKCguTl5aXly5fLxyfz36IMAAAgPRGqkSVu3LiR1SUAAACkG16oCAAAABhEqAYAAAAMIlQDAAAABhGqAQAAAIMI1QAAAIBBhGoAAADAIEI1AAAAYBChGgAAADCIUA0AAAAYRKgGAAAADCJUAwAAAAYRqgEAAACDCNUAAACAQYRqAAAAwCBCNQAAAGAQoRoAAAAwiFANAAAAGESoBgAAAAwiVAMAAAAGOWV1AQCMKzj4R3l5eWV1GZnKbDbrt9BQFRq5T87OzlldDgAgm2OmGgAAADCIUA0AAAAYRKgGAAAADCJUAwAAAAYRqgEAAACDCNUAAACAQYRqAAAAwCBCNQAAAGAQoRoAAAAwiFANAAAAGESoBgAAAAwiVAMAAAAGEaoBAAAAgwjVAAAAgEFOWV0AAONeWfSKLDktWV1Gpgl/JzyrSwAAwA4z1QAAAIBBhGoAAADAIEI1AAAAYBChGgAAADCIUA0AAAAYRKgGAAAADCJUAwAAAAYRqgEAAACDCNUAAACAQYRqAAAAwCBCNQAAAGAQoRoAAAAwiFANAAAAGESoBgAAAAwiVAMAAAAGEaoBAAAAgwjVAAAAgEGEagAAAMAgQjUAAABgEKEaAAAAMIhQDQAAABhEqAYAAAAMIlQDAAAABhGqAQAAAIMI1UAGql+/vgYNGpTVZQAAgAxGqMZT4/r163J2dlZMTIwSEhKUO3duRUZG2h3zyy+/qF27dipQoIBy5sypkiVLqlevXjp58mQWVW3v7yH7UY8BAMDTgVCNp8a+ffsUFBQkV1dXHTp0SHnz5lXhwoVt+zdt2qSaNWsqLi5OX3/9tY4dO6bly5crT548Gjt2bKpjWq1WJSQkZFYLAADgGeWU1QUAabV3717VqVNHkrRnzx7b55IUExOjN998UyEhIVq/fr1te9GiRVWjRg399ddfkqSwsDA1aNBA33//vcaMGaPffvtNW7ZsUf369TVjxgx9/vnnunz5skqWLKmxY8eqbdu2trGOHj2qYcOGadeuXcqdO7defPFFzZkzR97e3pKku3fvqm/fvlq3bp3c3d01bNiwTLgrz4Ycu3LIFGtK8/Gd9nWS1WpVbGysVq5cKZMp7edKUr58+TRv3rzHLRMAgAciVOOJFhkZqYoVK0pKCs6Ojo5asmSJYmNjZTKZ5OnpqU6dOqlJkya6ceOGRowYkeo4np6edo9HjBihmTNnqlixYvL09NR7772ndevW6bPPPlOJEiW0a9cuvfHGG8qXL5+Cg4N1+fJlBQcHq1evXpo9e7ZiY2M1cuRItW/fXtu3b5ckDR8+XDt27ND69evl4+Oj0aNH69ChQwoKCkq3+xEXF6e4uDjb46ioKElSDlMOWUyWdLtOZjPdMz1WqL4ae9X2eXR09GNfz2q1ymw2P/Z5T5Lk+p/2Pv4Jeqf37Cg7959Rvaf3eIRqPNH8/PwUERGhqKgoVatWTfv375ebm5uCgoK0efNmFS5cWG5ublq0aJEkqXTp0mkad+LEiWrSpImkpBnm2bNna/v27apVq5YkqVixYtqzZ4+++OILBQcH67PPPlOVKlU0ZcoU2xiLFi2Sv7+/Tp48KT8/Py1cuFDLli2zjbt06VIVKlQoPW+Hpk6dqgkTJqTY3rNgT7m6uqbrtTLTYsfFitbjh+N/KjY2VqGhoZl2vYy0devWrC4hy9B79pSde5eyd//p3XtMTEy6jkeoxhPNyclJAQEBWr16tapXr65KlSopPDxcBQoUUL169WzHWa3Wxxq3WrVqts+PHj2qe/fu2cJwsvj4eFWuXFmSdOjQIe3YsUNubm4pxjpz5oxiY2MVHx9vC+WSlDdvXpUqVeqx6nqUUaNGaciQIbbHUVFR8vf314JLC2TJ+RTPVDubpMf4m6CAWwFJSeE4V65cj309b29vhYSEPPZ5TxKz2aytW7eqSZMmcnZ2zupyMhW903t2613K3v1nVO/Jz/amF0I1nmjlypXT+fPnZTabZbFY5ObmpoSEBCUkJMjNzU1FihTRkSNHVLJkSUnS8ePH7YLtg+TOndv2ucWSFEY3b96sggUL2h3n4uJiO6Zly5b68MMPU4zl6+urU6dO/eMeH4eLi4utpvvFW+NlsT69oVr1Hn3I/b555xuZzWaFhoYqJCQk2/2CuZ+zs3O27Z/e6T07ys79p3fv6X0fCdV4ooWGhspsNqtRo0aaPn26qlatqo4dO6pbt25q1qyZ7QfixRdflLe3t6ZPn273QsVkf/31V4p11cnKli0rFxcXRUZGKjg4ONVjqlSporVr1yogIEBOTil/bAIDA+Xs7Kz9+/fb3pHk1q1bOnny5APHBAAAzw5CNZ5oRYoU0ZUrV3T16lW1atVKDg4OOnr0qFq3bi0/Pz/bcblz59aCBQvUrl07vfzyyxowYIACAwN148YNrV69WpGRkVq5cmWq10h+p47BgwfLYrGobt26ioqK0t69e+Xm5qauXbvq7bff1vz58/Xaa69p+PDh8vb21unTp7Vy5UrNnz9fbm5u6tGjh4YPHy4vLy8VKFBAY8aMkYMD71oJAEB2QKjGEy8sLEzVq1dXzpw5tXv3bhUsWNAuUCdr1aqV9u7dq6lTp6pTp0629cYNGzbU5MmTH3qNSZMmKX/+/Jo6dar+97//ydPTU1WqVNHo0aMlJb1gMjw8XCNHjlTTpk0VFxenIkWKqFmzZrbgPGPGDN25c0cvv/yy3N3dNXToUN2+fTv9bwgAAHjiEKrxxOvYsaM6duwoSXrhhRceun65WrVqWrt27QP3169fP9UXNZpMJg0YMEADBgx44LklSpTQunXrHrjfzc1Ny5cv1/Lly23bhg8fbndMWFjYYz0GAABPB56bBgAAAAwiVAMAAAAGEaoBAAAAgwjVAAAAgEGEagAAAMAgQjUAAABgEKEaAAAAMIhQDQAAABhEqAYAAAAMIlQDAAAABhGqAQAAAIMI1QAAAIBBhGoAAADAIEI1AAAAYBChGgAAADCIUA0AAAAYRKgGAAAADCJUAwAAAAYRqgEAAACDCNUAAACAQYRqAAAAwCBCNQAAAGCQU1YXAMC4Dd03yMvLK6vLAAAg22KmGgAAADCIUA0AAAAYRKgGAAAADCJUAwAAAAYRqgEAAACDCNUAAACAQYRqAAAAwCBCNQAAAGAQoRoAAAAwiFANAAAAGESoBgAAAAwiVAMAAAAGEaoBAAAAgwjVAAAAgEFOWV0AAOP2t2krN4slq8vIVNYcOaR3+iu8eYhM8fEp9gfv2pkFVQEAsitmqgEAAACDCNUAAACAQYRqAAAAwCBCNQAAAGAQoRoAAAAwiFANAAAAGESoBgAAAAwiVAMAAAAGEaoBAAAAgwjVAAAAgEGEagAAAMAgQjUAAABgEKEaAAAAMIhQDQAAABhEqAYAAAAMIlQDAAAABhGqAQAAAIMI1QAAAIBBhGoAAADAIEI1AAAAYBChGgAAADCIUA0AAAAYRKgGAAAADCJUAwAAAAYRqpElrl+/LmdnZ8XExCghIUG5c+dWZGSkbf8vv/yiFi1aKH/+/MqZM6cCAgLUoUMH3bhxIwur/mdmzZqlPHnyKCYmJsW+e/fuydPTU7Nnz5YkBQQEaO7cuZlcIQAAMIpQjSyxb98+BQUFydXVVYcOHVLevHlVuHBhSdK1a9fUuHFjeXt7a8uWLTp27JgWLVokX1/fVINpWsTHx6dn+Y+lS5cuio2N1dq1a1PsW7t2rWJiYtS5c+csqAwAAKQXp6wuANnT3r17VadOHUnSnj17bJ8n74uKitKCBQvk5JT0LVq0aFE1bNjQbowjR45oxIgR2r17t6xWq4KCgrRkyRIVL15c3bp1019//aUaNWro448/Vo4cOXTu3DldunRJQ4YM0Q8//CAHBwfVrVtX8+bNU0BAgCTp4MGDGj16tH755ReZzWYFBQVpzpw5qlKliu26JpNJn3/+uf7zn/9o+/btKlKkiBYtWqR8+fKpZ8+eOnjwoCpWrKivvvpKxYsXV758+dSyZUstWrQoRXhetGiRXn75ZeXLly8jbvMz79tvv1WM1SI5OabY90WnTg88L1++fJo3b15GlgYAyGYI1cg0kZGRqlixoiQpJiZGjo6OWrJkiWJjY2UymeTp6alOnTqpS5cuSkhI0Pr169W2bVuZTKYUY126dEn16tVT/fr1tX37dnl4eCg8PFwJCQm2Y7Zt2yYPDw9t3bpVVqtVMTExatCggV544QXt2rVLTk5Omjx5spo1a6bffvtNOXLkUHR0tLp27aqPPvpIUtLSjZCQEJ06dUru7u62sSdNmqTZs2dr9uzZGjlypDp16qRixYpp1KhRKly4sLp3767+/fvru+++kyT16NFDLVq00NmzZ1W0aFFJ0rlz57Rjxw5t3rw5zfcwLi5OcXFxtsdRUVGSJKuzk6zWNA/zTLA6O+vOnTuKlqRUvkduX7364HOtVpnN5owrLhMk1/+09/FP0Du9Z0fZuf+M6j29xzNZrdntVzGySkJCgi5evKioqChVq1ZNBw8elJubm4KCgrR582YVLlxYbm5u8vb21pgxYzR9+nR5eHjo+eefV8OGDdWlSxcVKFBAkjR69GitXLlSJ06ckLOzc4prdevWTd9//70iIyOVI0cOSUmzwtOnT9exY8dsQT0+Pl6enp7asGGDXnzxxRTjJCYm6rnnntOKFSvUokULSUkz1e+9954mTZokSdq/f79q1aqlhQsXqnv37pKklStX6s0331RsbKxtnCJFiqhHjx6aMGGCJOn999/XwoULdf78eTk6Js20BgQEaNCgQRo0aFCq93D8+PG28++3YsUKubq6pu0L8QxZvHixoqOjH/s8d3d3vfnmmxlQEQDgaRETE6NOnTrp9u3b8vDwMDweM9XINE5OTgoICNDq1atVvXp1VapUSeHh4SpQoIDq1atnd+wHH3ygIUOGaPv27dq/f78+//xzTZkyRbt27VKFChUUERGhF154IdVAnaxChQq2QC1Jhw4d0unTp+1mnKWkFwueOXNGUtJ67nHjxmn79u26evWqEhMTFRMTY/ciSkm2GXdJtqBfoUIFu2337t1TVFSUPDw85OjoqK5du2rJkiV6//33ZTKZtHTpUnXr1s0WqNNi1KhRGjJkiO1xVFSU/P395b5okdyy2Z/HVmdnuXnllcMDQrVL/vwPPNfb21shISEZVVqmMJvN2rp1q5o0afLQn4NnEb3Te3brXcre/WdU78nP9qYXQjUyTbly5XT+/HmZzWZZLBa5ubkpISFBCQkJcnNzU5EiRXTkyBHb8V5eXmrXrp3atWunqVOnqnLlypo5c6aWLl2qXLlyPfJ6uXPntntssVhUtWpVff311ymOTV7T3K1bN12/fl1z585VkSJF5OLiolq1aqV4oeP9P9TJs96pbbNYLLZt3bt319SpU7V9+3ZJScthHne21MXFRS4uLim2m8wJMt13reyiXbt2yvPxJzKl8kLU4G++yYKKMp+zs3O2+wWbjN7pPTvKzv2nd+/pfR8J1cg0oaGhMpvNatSokaZPn66qVauqY8eO6tatm5o1a/bQb+4cOXKoePHiunv3rqSkmeKlS5fKbDan+YeiSpUqWrVqlfLnz//Ap3l2796tTz/91DaLeeHChXR7G7/ixYsrODhYixcvltVqVf369VW8ePF0GRsAAGQt3lIPmaZIkSJyc3PT1atX1apVKxUuXFhHjx5V69atFRgYqCJFikiSNm3apDfeeEObNm3SyZMndeLECc2cOVOhoaFq1aqVJKl///6KiopSx44d9fPPP+vUqVNavny5Tpw48cDrv/766/L29larVq20e/dunT17Vjt37tTAgQN18eJFSVJgYKCWL1+uY8eO6cCBA3r99dfTNCueVj169NC6deu0fv169ejRI93GBQAAWYtQjUwVFham6tWrK2fOnDpw4IAKFiwoPz8/u2PKli0rV1dXDR06VEFBQapZs6ZWr16tBQsW2N6SzsvLS9u3b9edO3cUHBysqlWrav78+Q+dtXZ1ddWuXbtUuHBhtW7dWmXKlFH37t0VGxtrm7letGiRbt26pcqVK6tz584aMGCA8j9kbe7jatOmjW0JR+vWrdNtXAAAkLVY/oFM1bFjR3Xs2FGS9MILL+jUqVMpjilWrJi+/PLLR45VsWJFbdmyJdV9S5YsSXW7j4+Pli5d+sAxK1eurIMHD9pta9u2rd3jv79hTkBAQIpt9evXT7FNknLlyqW//vrrgdc/d+7cA/cBAIAnFzPVAAAAgEGEagAAAMAgQjUAAABgEKEaAAAAMIhQDQAAABhEqAYAAAAMIlQDAAAABhGqAQAAAIMI1QAAAIBBhGoAAADAIEI1AAAAYBChGgAAADCIUJ0JlixZIpPJpCVLlmR1KQAAAMgAjx2qz507J5PJpGbNmqW6f/r06TKZTCpWrJjOnDljuEAAAADgSZeuM9WjRo3SyJEjVa5cOe3Zs0fFixdPz+EBAACAJ5JTegxisVjUr18/ffHFF6pRo4ZCQ0OVN2/e9BgaAAAAeOIZnqk2m83q1KmTvvjiCzVu3Fg//vijXaCOj4/X7NmzVaVKFeXOnVvu7u564YUXtHHjRrtxunbtKpPJpIMHD6Z6nREjRshkMmn9+vWyWCzKmzevgoKC7I65fv26HBwcZDKZtGfPHrt9HTp0kMlk0tWrV+22L126VDVr1pSbm5vc3NxUs2ZNLV26NMX1w8LCZDKZNH78eO3bt09NmzaVp6enTCaT7ZibN2+qT58+KlCggFxdXVW9enWtX78+TfcRAAAATy9DoTomJkatWrXSqlWr1Lp1a23evFlubm62/XFxcWratKmGDh0qSerRo4feeOMNnT9/Xq1atdInn3xiO/att96SJM2fPz/Fdcxms5YtWyYfHx+1bNlSDg4OCg4O1m+//aY///zTdlxYWJisVqskaceOHXZj7Ny5U2XKlFGBAgVs2wYPHqxu3brp4sWL6tGjh3r27KlLly6pW7duGjJkSKo97927V8HBwZKk3r17q0OHDrZ7Ub9+fX3xxRcqXry4Bg4cqFKlSqlDhw5as2ZN2m8qAAAAnjr/ePnH7du39eKLLyo8PFzdu3fXl19+KUdHR7tjJk6cqLCwMI0fP17jxo2zzepGR0erYcOGGjp0qFq3bi0/Pz/Vrl1b5cuX18qVKzVnzhzlzp3bNs6mTZt09epVjRw5Uk5OSSU3aNBAGzZs0M6dO9W6dWtJSUHa09NTxYoV044dOzR27FhJ0tGjR3X16lW1adPGNubu3bs1d+5clSlTRvv27VOePHkkSRMmTFDNmjU1Z84ctW7dWnXr1rXraevWrVq4cKG6d+9ut3369Ok6fPiwevXqpS+//NK2vUuXLmratOk/vc0AAAB4Cvzjmer9+/crPDxctWrV0sKFC1MEaovFos8++0yBgYF2gVqS3N3dNW7cOMXHx2vdunW27b1791Z0dLRWrVplN9aCBQtkMpnUs2dP27b69etLkrZv327btmPHDgUHB6tx48bat2+f7t27Z9t+/zmSbG9vN378eFuglqQ8efLo/ffftzvmfpUrV04RqCVp2bJlypEjhyZOnGi3/cUXX1SjRo1SHA8AAIBnxz8O1WXLlpWfn5/27duXIkhK0okTJ3Tr1i25uLhowoQJGj9+vN3H999/L0k6fvy47ZzOnTsrV65cWrBggW3bpUuXtGXLFgUHByswMNC2vUKFCvL29rYF5itXruj48eNq0KCBGjRooHv37mnfvn2SkkK1yWSyC9W//PKLJPugnSx5W0RERIp9zz//fIpt0dHROnv2rAIDA+Xj45Ni/wsvvJBiGwAAAJ4d/3j5h7+/v/7973+rQYMGev/992WxWDR+/Hjb/ps3b0qSjhw5oiNHjjxwnLt379o+9/T0VPv27bV06VIdPXpUZcuW1eLFi5WYmKhevXrZnWcymRQcHKy1a9fq6tWrtnDdoEEDFStWTE5OTtqxY4fq16+vnTt3qly5csqXL5/t/KioKDk4ONhtS1agQAE5ODjo9u3bqe77u+Tj8ufPn2qPqZ0DAACAZ4ehFyoGBgYqLCxM/v7+mjBhgm3ZhCR5eHhIktq0aSOr1frAj8WLF9uNmfyCxQULFtj2582b17Zu+n4NGjSQlPQCxbCwMHl7e6tChQpyc3NT9erVtWPHDv3++++6ceOG7dj767NYLLp+/XqKca9duyaLxWLr4X73L2P5e6/Xrl1L9T79/R1HAAAA8Gwx/D7VxYsX186dO9WgQQNNnDhRFotFkyZNUpkyZeTh4aGff/5ZZrNZzs7OaRqvVq1aqlChgpYvX67GjRvrf//7nwYMGKCcOXOmOPb+ddXJs9LJobdhw4aaPn26Nm3aZHdsssqVK+uXX35RWFiY2rdvb7dv586dkpTiLfsexMPDQ0WLFtXp06d15cqVFEtAdu/enaZxgH+q5to18vLyyuoyMpXZbFZoaKjqfBea5v+/AACQUdLlX1QsWrSowsLCFBAQoMmTJ2vMmDFycnJS3759df78eQ0bNkxmsznFeb///nuqs7u9e/fWjRs3bEs+7n+B4v3KlSun/Pnza/369Tp16pTdbHSDBg1kNps1Z84c21KR+3Xt2lVS0rt9REVF2bZHRUVpwoQJdsekRefOnRUfH69x48bZbf/hhx+0bdu2NI8DAACAp0+6/IuKkhQQEGCbsZ4yZYosFosmTJig//73v/roo4+0efNmBQcHK1++fLp06ZIOHz6sX3/9Vfv27UuxFrlz584aOXKk/vjjD9WoUUMVKlR44HXr16+v1atXS5JdqK5du7ZcXFx0/fp1VapUKcUsXr169fTOO+/o448/Vvny5W3LVNatW6cLFy5owIABqlevXpr7HzFihNatW6f58+fryJEjqlevni5cuKDVq1frpZde0ubNm9M8FgAAAJ4u6TJTnaxw4cIKCwtT8eLFNW3aNI0bN07fffedvvjiC/n4+GjNmjWaO3eudu3aJV9fX3322WepBuY8efKoVatWkpTiBYp/lxykCxQooDJlyti258qVSzVq1JCU+jt8SNJHH32kRYsWycfHR19++aXmz58vHx8fLVq0SPPmzXus3nPnzq2dO3eqd+/eOnXqlObOnavjx49r1apVatu27WONBQAAgKfLY89UBwQE2P7VwtT4+/vr9OnTdtt69+6t3r17P9Z1fv31V7m5udn+xcIH6dOnj/r06ZPqvuS10Q/z5ptv6s0333zkcfXr139o35KUN29effHFF/riiy9S7OvWrdsjrwEAAICnU7rOVKeX0NBQHT16VJ07d7b7Z88BAACAJ1G6ralOD5999pkuXLig+fPnK1euXBoxYkRWlwQAAAA80hMVqj/88ENdvHhRpUqV0ocffqiAgICsLgkAAAB4pCcqVJ87dy6rSwAAAAAe2xO5phoAAAB4mhCqAQAAAIMI1QAAAIBBhGoAAADAIEI1AAAAYNAT9e4fAP6ZxRO3KqdT7qwuI1OZHK0qVEf6csx3siaasrqcTJed+8+o3vvPapluYwHIfpipBgAAAAwiVAMAAAAGEaoBAAAAgwjVAAAAgEGEagAAAMAgQjUAAABgEKEaAAAAMIhQDQAAABhEqAYAAAAMIlQDAAAABhGqAQAAAIMI1QAAAIBBhGoAAADAIEI1AAAAYBChGgAAADCIUA0AAAAYRKgGAAAADCJUAwAAAAYRqgEAAACDCNUAAACAQYRqAAAAwCBCNQAAAGAQoRoAAAAwiFANAAAAGESoxhOvfv36GjRoUFaXAQAA8ECE6r+5fv26nJ2dFRMTo4SEBOXOnVuRkZG2/QEBATKZTDKZTMqVK5cCAgLUvn17bd++PQurfnJMmTJFjo6OmjZtWoZdo379+ravgYuLiwoWLKiWLVtq3bp1GXZNAACAhyFU/82+ffsUFBQkV1dXHTp0SHnz5lXhwoXtjpk4caIuX76sEydOaNmyZfL09FTjxo31wQcfZFHVT47FixdrxIgRWrRoUYZep1evXrp8+bJOnz6ttWvXqmzZsurYsaN69+790PPMZnOG1gUAALInp6wu4Emzd+9e1alTR5K0Z88e2+f3c3d3l4+PjySpcOHCqlevnnx9fTVu3Di1bdtWpUqV0pIlSzRo0CD99ddftvM2bNigV199VVarVZI0fvx4bdiwQUOHDtXYsWN169YtNW/eXPPnz5e7u7skKTo6Wn369NGGDRvk4eGhESNG6N///reCgoI0d+5cSVJ8fLzee+89ff311/rrr79Uvnx5ffjhh6pfv77t2mvXrtW4ceN0+vRp+fr66p133tHQoUNt+wMCAtS7d2+dPn1a3377rZ577jm99957tpAaHx+vIUOGaO3atbp165Z8fHz01ltvadSoUbYxdu7cqdjYWE2cOFHLli3Trl27VK9ePdv+tPR79+5d9e3bV+vWrZO7u7uGDRuW6tfJ1dXV9jXw9/dXzZo1Vbp0aXXv3l3t27dX48aNde7cORUtWlSrVq3Sp59+qv379+uzzz7Tyy+/rP79+2v37t26efOmihcvrtGjR+u1116zjZ+W+37r1i0NHDhQ//nPfxQXF6fg4GB99NFHKlGihCTZvgdWrVqlQYMG6cKFC6pbt64WL14sX19fSVJYWJhGjBihI0eOyNnZWeXKldOKFStUpEiRVPsGsoudp1brXnx06jtNkuNJKTFOkjX9rrm30zfpN9hjypcvn+bNm5dl1wdgHKFaUmRkpCpWrChJiomJkaOjo5YsWaLY2FiZTCZ5enqqU6dO+vTTTx84xsCBAzVp0iT9+9//1ogRI9J87TNnzmjDhg3atGmTbt26pfbt22vatGm2We8hQ4YoPDxcGzduVIECBTRu3Dj997//VVBQkG2MN998U+fOndPKlSvl5+en9evXq1mzZjp8+LBKlCihQ4cOqX379ho/frw6dOigvXv3ql+/fvLy8lK3bt1s48yaNUuTJk3S6NGjtWbNGvXt21f16tVT6dKl9dFHH2njxo1avXq1ChcurAsXLujChQt2vSxcuFCvvfaanJ2d9dprr2nhwoV2oTot/Q4fPlw7duzQ+vXr5ePjo9GjR+vQoUN2/T5I165dNXToUK1bt06NGze2bR85cqRmzZqlxYsXy8XFRffu3VPVqlU1cuRIeXh4aPPmzercubOKFSumGjVqpPm+d+vWTadOndLGjRvl4eGhkSNHKiQkREePHpWzs7OkpO+nmTNnavny5XJwcNAbb7yhYcOG6euvv1ZCQoJeeeUV9erVS998843i4+P1008/yWQyPbDHuLg4xcXF2R5HRUVJkkyOVpkc0zFdPAWS+81ufSd71vu/Z45WjPkBoVqS4tP/mjFXH3K9DGa1WtP0TFryMdnxWbfs3LuUvfvPqN7TezxCtSQ/Pz9FREQoKipK1apV0/79++Xm5qagoCBt3rxZhQsXlpub20PHyJs3r/Lnz69z58491rUtFouWLFlim6nt3Lmztm3bpg8++EDR0dFaunSpVqxYoUaNGklKWl7h5+dnO//MmTP65ptvdPHiRdv2YcOG6fvvv9fixYs1ZcoUzZ49W40aNdLYsWMlSSVLltTRo0c1Y8YMu1AdEhKifv36SUoKonPmzFFYWJhKly6tyMhIlShRQnXr1pXJZEoxkxoVFaW1a9dq7969kqQ33nhDderU0ccffywPD4809Xvnzh0tXLhQy5YtU5MmTSRJS5cuVaFChdJ0Lx0cHFSyZMkUX4NBgwapdevWdtvunwF/55139P333+vbb79VjRo10nTfk8N0eHi4ateuLUn6+uuv5e/vrw0bNqhdu3aSkn5gP//8cxUvXlyS1L9/f02cONF2z27fvq0WLVrY9pcpU+ahPU6dOlUTJkxIsd2vuuTq+myGq0cpWFNK1+nKp8yz2r/jSWVIcH5SxcbGKjQ0NM3Hb926NQOrebJl596l7N1/evceExOTruMRqiU5OTkpICBAq1evVvXq1VWpUiWFh4erQIECKWZaH8ZqtT50ljE1AQEBtoApSb6+vrp27Zok6X//+5/MZrOef/552/48efKoVKlStsf//e9/ZbVaVbJkSbtx4+Li5OXlJUk6duyYWrVqZbe/Tp06mjt3rhITE+Xo6ChJttl6STKZTPLx8bHV0q1bNzVp0kSlSpVSs2bN1KJFC7344ou241esWKFixYqpUqVKkqSgoCAVK1ZMK1eutFvn/LB+z5w5o/j4eNWqVcu2P2/evHb9PkpqX4Nq1arZPU5MTNS0adO0atUqXbp0yTb7mzt3bklpu+/Hjh2Tk5OTbWZbkry8vFSqVCkdO3bMts3V1dUWmP/eb968edWtWzc1bdpUTZo0UePGjdW+fXvb0pDUjBo1SkOGDLE9joqKkr+/v/44KOV0erzvvaedydGqgjWlS/sla2L26l169vvPYXGTa44H73d0+f/LP9KRm2eu9B3wMXh7eyskJOSRx5nNZm3dulVNmjSxPSOWXWTn3qXs3X9G9Z78bG96IVRLKleunM6fPy+z2SyLxSI3NzclJCQoISFBbm5uKlKkiI4cOfLQMf78809dv35dRYsWlZQ0a5q8djpZak8z/P2bw2QyyWKxSJLt/L+HxPvHtVgscnR01KFDh2zhOFny7HpqQfPvtT2qlipVqujs2bP67rvv9OOPP9rWLa9Zs0aStGjRIh05ckROTv/3LWWxWLRw4UK7UJ2Wfv+pxMREnTp1StWrV7fbnhyWk82aNUtz5szR3LlzVaFCBeXOnVuDBg1SfHy8XR0Pu2cPqvXv9zq1fu8/d/HixRowYIC+//57rVq1Su+99562bt2qmjVrpjq+i4uLXFxcUl430STrY/5B92ywJvX+DIbKtHl2+69XosMD95kcrSpUx6qL4enbe/9ZLdNtrIzm7Oyc7YJVsuzcu5S9+0/v3tP7PvLuH5JCQ0MVEREhHx8fffXVV4qIiFD58uU1d+5cRUREpOkpuXnz5snBwUGvvPKKpKQXnURHR+vu3bu2YyIiIh6rruLFi8vZ2Vk//fSTbVtUVJROnTple1y5cmUlJibq2rVrCgwMtPtIfiFf2bJltWfPHrux9+7dq5IlS6YI4g/j4eGhDh06aP78+Vq1apXWrl2rmzdv6vDhw/r5558VFhamiIgI28euXbt08OBB/f7772kaPzAwUM7Oztq/f79t261bt3Ty5Mk0nb906VLdunVLbdq0eehxu3fvVqtWrfTGG2+oUqVKKlasmN09Tct9L1u2rBISEnTgwAHbtj///FMnT5585BKOv6tcubJGjRqlvXv3qnz58lqxYsVjnQ8AALIeM9WSihQpoitXrujq1atq1aqVHBwcdPToUbVu3dpuHW2y6OhoXblyRWazWWfPntVXX32lBQsWaOrUqQoMDJQk1ahRQ66urho9erTeeecd/fTTT1qyZMlj1eXu7q6uXbtq+PDhtjXb77//vhwcHGyzoSVLltTrr7+uLl26aNasWapcubJu3Lih7du3q0KFCgoJCdHQoUNVvXp1TZo0SR06dNC+ffv0ySefPPSFl383Z84c+fr6KigoSA4ODvr222/l4+MjT09PTZw4Uc8//3yqS2Vq1aqlhQsXas6cOY+8hpubm3r06KHhw4fLy8tLBQoU0JgxY+TgkPJvv5iYGF25ckUJCQm6dOmS1q1bpzlz5qhv375q0KDBQ68TGBhoW//93HPPafbs2bpy5YotDKflvpcoUUKtWrVSr1699MUXX8jd3V3vvvuuChYsmGKpzYOcPXtWX375pV5++WX5+fnpxIkTOnnypLp06ZKm8wEAwJODmer/LywsTNWrV1fOnDl14MABFSxYMNVALUnjxo2Tr6+vAgMD1blzZ92+fVvbtm3TyJEjbcfkzZtXX331lUJDQ1WhQgV98803Gj9+/GPXNXv2bNWqVUstWrRQ48aNVadOHZUpU0Y5c+a0HbN48WJ16dJFQ4cOValSpfTyyy/rwIED8vf3l5S0dGP16tVauXKlypcvr3HjxmnixIl2L1J8FDc3N3344YeqVq2aqlevrnPnzik0NFQJCQn66quvHjg73KZNG3311Ve2pRWPMmPGDNWrV08vv/yyGjdurLp166pq1aopjps/f758fX1VvHhxvfrqqzp69KjtrfMeZezYsapSpYqaNm2q+vXry8fHx/YMQ7K03veqVauqRYsWqlWrlqxWq0JDQ9P8dJKrq6uOHz+uNm3aqGTJkurdu7f69++vt956K03nAwCAJ4fJanQhKzLV3bt3VbBgQc2aNUs9evTI6nKyjSf1vkdFRSlPnjyaMeAb5XTK/egTniEZta72aZGd+8/Oa6rNZrNCQ0MVEhKS7dbVZufepezdf0b1nvw79Pbt23bvVPZPsfzjCffLL7/o+PHjev7553X79m3b27GldYkB/hnuOwAAeByE6qfAzJkzdeLECeXIkUNVq1bV7t275e3tndVlPfO47wAAIK0I1U+4ypUr69ChQ1ldRrbDfQcAAI+DFyoCAAAABhGqAQAAAIMI1QAAAIBBhGoAAADAIEI1AAAAYBChGgAAADCIUA0AAAAYRKgGAAAADCJUAwAAAAYRqgEAAACDCNUAAACAQYRqAAAAwCBCNQAAAGAQoRoAAAAwiFANAAAAGESoBgAAAAwiVAMAAAAGEaoBAAAAgwjVAAAAgEFOWV0AAOPeHNdEXl5eWV1GpjKbzQoNDVXvD5rL2dk5q8vJdNm5/+zcO4AnFzPVAAAAgEGEagAAAMAgQjUAAABgEKEaAAAAMIhQDQAAABhEqAYAAAAMIlQDAAAABhGqAQAAAIMI1QAAAIBBhGoAAADAIEI1AAAAYBChGgAAADCIUA0AAAAYRKgGAAAADHLK6gIAGPfRO28pRzb7E9nByVllX+2omb26yJJgzupyMl1W9T/mqzWZdi0AeJpks1/DAAAAQPojVAMAAAAGEaoBAAAAgwjVAAAAgEGEagAAAMAgQjUAAABgEKEaAAAAMIhQDQAAABhEqAYAAAAMIlQDAAAABhGqAQAAAIMI1QAAAIBBhGoAAADAIEI1AAAAYBChGgAAADCIUA0AAAAYRKgGAAAADCJUAwAAAAYRqgEAAACDCNUAAACAQYRqAAAAwCBCNQAAAGAQoRoAAAAwiFANAAAAGESo/gfCwsJkMpn0119/ZXUpz6wvv/xS/v7+cnBw0Ny5c9N0TkBAQJqPzSpLliyRp6dnVpcBAADSWbYM1devX5ezs7NiYmKUkJCg3LlzKzIy0rb/l19+UYsWLZQ/f37lzJlTAQEB6tChg27cuJGFVaeP5D8I/v7x3nvvZfi1ExMTNWfOHFWsWFE5c+aUp6enmjdvrvDwcLvjoqKi1L9/f40cOVKXLl3SihUrUq05+SMgICBd64yKitLYsWNVrlw55cqVS15eXqpevbqmT5+uW7dupeu1AADAs8EpqwvICvv27VNQUJBcXV114MAB5c2bV4ULF5YkXbt2TY0bN1bLli21ZcsWeXp66uzZs9q4caNiYmKyuPL0c+LECXl4eNgeu7m5/aNxEhMTZTKZ5ODw8L/PrFarOnbsqB9//FEzZsxQo0aNFBUVpX/961+qX7++vv32W73yyiuSpMjISJnNZr300kvy9fXV999/r/j4eEnShQsX9Pzzz+vHH39UuXLlJEmOjo7/qPbU3Lx5U3Xr1lVUVJQmTZqkqlWrKkeOHDp9+rRWrFihFStW6O2330636wHJDt2IUpzF+ljnHFi8WOaYuxlUUeo6deqUqddLjdVqVWxsrFauXCmTyfTI4/Ply6d58+ZlQmUAsrNsGar37t2rOnXqSJL27Nlj+zx5X1RUlBYsWCAnp6TbU7RoUTVs2DDFOIcOHdLIkSN19OhRBQUFafHixSpVqpQk6cyZMxoyZIj279+vu3fvqkyZMpo6daoaN24sKWnGuEGDBinG7Nq1q5YsWfLI86Wk5Q49e/bUyZMntW7dOnl5eemjjz5S7dq11bNnT23btk1FixbV4sWLVa1aNbvr5M+fP8UyhOSabt26ZdsXERGhypUr6+zZswoICNCSJUs0aNAgffXVVxoxYoROnjypbdu2qXHjxrpw4YJ8fHxs4w0dOlQHDx7Url27tHr1aq1Zs0YbN25Uy5Ytbcd8+eWX+vPPP9WzZ081adJE3377rd58801JUrFixSTJdm1JunfvniTJy8vL7lrJYmJi1L17d3377bd67rnn9N5776l37962/ZcuXdKQIUP0ww8/yMHBQXXr1tW8efNs448ePVqRkZE6ceKEChYsaDuvdOnSatGihazW/ws9t27d0sCBA/Wf//xHcXFxCg4O1kcffaQSJUrYjlmyZInGjRunGzduqGnTpqpbt65dvb/++qsGDRqkn3/+WSaTSSVKlNAXX3yR4uuVLC4uTnFxcbbHUVFRkiQHJ8dH/mHzrHH4/z+fyf992sVZrLqXaHmsc+5FR2dQNQ+55tWrmX7NB4lOY/9Wq1VmszmDq8kcyX08K/08juzcu5S9+8+o3tN7vGfjt1EaREZGqmLFipKSgpejo6OWLFmi2NhYmUwmeXp6qlOnTurSpYsSEhK0fv16tW3b9qGzIGPGjNGsWbOUL18+9enTR927d7ctZbhz545CQkI0efJk5cyZU0uXLlXLli114sQJFS5cWLVr19bly5dtYx07dkwhISGqV69ems5PNmfOHE2ZMkVjx47VnDlz1LlzZ9WpU0fdu3fXjBkzNHLkSHXp0kVHjhxJ04xOWsTExGjq1KlasGCBvLy8VKhQIRUrVkzLly/X8OHDJUkJCQn66quvNG3aNEnSihUrVLJkSbtAnWzo0KFat26dtm7dqg4dOsjf31+NGzfWTz/9JH9/f+XLly/Ntc2aNUuTJk3S6NGjtWbNGvXt21f16tVT6dKlFRMTowYNGuiFF17Qrl275OTkpMmTJ6tZs2b67bff5OTkpFWrVumNN96wC9T3u/8eduvWTadOndLGjRvl4eGhkSNHKiQkREePHpWzs7MOHDig7t27a8qUKWrdurW+//57vf/++3bjvf7666pcubI+++wzOTo6KiIiQs7Ozg/sb+rUqZowYUKK7SWbvyJXV9c036dnSemWbbO6hHRxYPHiLAnJ2UFsbKxCQ0Ozuox0tXXr1qwuIctk596l7N1/evee3isQsk2o9vPzU0REhKKiolStWjXt379fbm5uCgoK0ubNm1W4cGG5ubnJ29tbo0ePVqdOndSnTx89//zzatiwobp06aICBQrYjfnBBx8oODhYkvTuu+/qpZde0r1795QzZ05VqlRJlSpVsh07efJkrV+/Xhs3blT//v2VI0cO20zrn3/+qV69eql79+7q3r27JD3y/GQhISF66623JEnjxo3TZ599purVq6tdu3aSpJEjR6pWrVq6evWq3cxuoUKF7Ho5f/58mu+l2WzWp59+aldfjx49tHjxYluo3rx5s2JiYtS+fXtJ0smTJ1WmTJlUx0vefvLkSb3yyivy8vKSlPSUbWqz0Q8TEhKifv36SUrqfc6cOQoLC1Pp0qW1cuVKOTg4aMGCBbZwvHjxYnl6eiosLEyVKlXSX3/9ZXu2IVnVqlV14sQJSVLLli31zTff2MJ0eHi4ateuLUn6+uuv5e/vrw0bNqhdu3aaN2+emjZtqnfffVeSVLJkSe3du1fff/+9bezIyEgNHz5cpUuXliS7We7UjBo1SkOGDLE9joqKkr+/v05+t0E5suFMdemWbXX8P2tkSUjI6nIMc4i7p5yOj/E1NJnknMtV5tgYyfp4y0aM8PDyzrRrPUxsbKxy5cqVpmO9vb0VEhKSwRVlDrPZrK1bt6pJkyYP/QP8WZSde5eyd/8Z1Xvys73pJduEaicnJwUEBGj16tWqXr26KlWqpPDwcBUoUMA2O5zsgw8+0JAhQ7R9+3bt379fn3/+uaZMmaJdu3apQoUKtuOSZ74lydfXV1LSmuzChQvr7t27mjBhgjZt2qQ//vhDCQkJio2NtXtBpJT0jdKmTRsVLlzYbs1fWs+/v4bk0H9/jcnbrl27ZhdQd+/eLXd3d9vj5557Lo13UsqRI4fddaWkWdv33ntP+/fvV82aNbVo0SK1b99euXPnTvO46TGTfn9dJpNJPj4+unbtmqSk5TqnT5+261tKWlJy5swZ2x8Jf69j/fr1io+P18iRIxUbGysp6ZkFJycn1ahRw3acl5eXSpUqpWPHjtmOefXVV+3GqlWrll2oHjJkiHr27Knly5ercePGateunYoXL/7A/lxcXOTi4pJiuyUhURaHxAffmGeYJSFBloSn/+nQql6P97oGBydnlX21o46uX5mp/Y/56ptMu9aDmM1mhYaGKiQkJNuFi2TOzs70nk1l5/7Tu/f0vo/ZJlSXK1dO58+fl9lslsVikZubmxISEpSQkCA3NzcVKVJER44csR3v5eWldu3aqV27dpo6daoqV66smTNnaunSpbZj7v9iJAcxiyVpTeTw4cO1ZcsWzZw5U4GBgcqVK5fatm1re8Fdsr59+yoyMlIHDx60reF+nPNTq+FhdSUrWrRoijXVyWty7183nNp6o1y5cqUInvnz51fLli21ePFiFStWTKGhoQoLC7PtL1mypI4ePZpiLEm2EPqoWdq0+PsPiMlksvVusVhUtWpVff311ynOy5cvn9zd3eXp6anjx4/b7UtebuPu7m57G0XrA2YGrVar7d486Jj7jR8/Xp06ddLmzZv13Xff6f3339fKlStThHEAAPBkyzbPF4eGhioiIkI+Pj766quvFBERofLly2vu3LmKiIh46Hq7HDlyqHjx4rp7N+2vst+9e7e6deumV199VRUqVJCPj4/OnTtnd8zs2bO1atUqbdy40bbk4XHOT2/Ja5fvX+sdERGR5vN79uyplStX6osvvlDx4sXtXgDasWNHnTp1Sv/5z39SnDdr1ix5eXmpSZMm/7z4NKhSpYpOnTql/PnzKzAw0O4jT548cnBwUPv27fXVV1/p0qVLDx2rbNmySkhI0IEDB2zb/vzzT7tlLmXLltX+/fvtzvv7YynpD47Bgwfrhx9+UOvWrbV48eJ06BYAAGSmbBOqixQpIjc3N129elWtWrVS4cKFdfToUbVu3VqBgYEqUqSIJGnTpk164403tGnTJp08eVInTpzQzJkzFRoaqlatWqX5eoGBgVq3bp0iIiL066+/qlOnTnazxT/++KNGjBihmTNnytvbW1euXNGVK1d0+/btNJ2fEQIDA+Xv76/x48fr5MmT2rx5s2bNmpXm85s2bao8efJo8uTJtnfwSNaxY0e9+uqr6tq1qxYuXKhz587pt99+01tvvaWNGzdqwYIFj7VU5J94/fXX5e3trVatWmn37t06e/asdu7cqYEDB+rixYuSpClTpqhgwYKqUaOGFi1apN9++01nzpzR+vXrtW/fPtvb95UoUUKtWrVSr169tGfPHv3666+2Fzgmf58MGDBA33//vaZPn66TJ0/qk08+sVv6ERsbq/79+yssLEznz59XeHi4Dh48+MC15wAA4MmVbUK1lPSWcdWrV1fOnDl14MABFSxYUH5+fnbHlC1bVq6urho6dKiCgoJUs2ZNrV69WgsWLFDnzp3TfK05c+boueeeU+3atdWyZUs1bdpUVapUse3fs2ePEhMT1adPH/n6+to+Bg4cmKbzM4Kzs7O++eYbHT9+XJUqVdKHH36oyZMnp/l8BwcHdevWTYmJierSpYvdPpPJpNWrV2vMmDGaM2eOSpcurRdeeEHnz5/Xjh07bO9RnZFcXV21a9cuFS5cWK1bt1aZMmXUvXt3xcbG2t6z28vLSz/99JO6dOmiGTNm6Pnnn1eFChU0fvx4dejQQfPnz7eNt3jxYlWtWlUtWrRQrVq1ZLVaFRoaaluCUrNmTS1YsEAff/yxgoKC9MMPP9j9IzuOjo76888/1aVLF5UsWVLt27dX8+bNU313DwAA8GQzWdOy8BNIo169eunq1avauHFjVpeSLURFRSlPnjwa91ob5chWfyJn3Qv1nhRZ90LFNZl2rQfJzi9UpPfs2buUvfvPqN6Tf4fevn3b7h/E+6eyzQsVkbFu376tgwcP6uuvv9a///3vrC4HAAAgUxGqkS5atWqln376SW+99VaGv+AQAADgSUOoRrq4/+3zAAAAsptstgoTAAAASH+EagAAAMAgQjUAAABgEKEaAAAAMIhQDQAAABhEqAYAAAAMIlQDAAAABhGqAQAAAIMI1QAAAIBBhGoAAADAIEI1AAAAYBChGgAAADCIUA0AAAAYRKgGAAAADCJUAwAAAAYRqgEAAACDCNUAAACAQYRqAAAAwCBCNQAAAGCQU1YXAMC4AR9/IS8vr6wuI1OZzWaFhoZq2PxlcnZ2zupyMl127x8AnjTMVAMAAAAGEaoBAAAAgwjVAAAAgEGEagAAAMAgQjUAAABgEKEaAAAAMIhQDQAAABhEqAYAAAAMIlQDAAAABhGqAQAAAIMI1QAAAIBBhGoAAADAIEI1AAAAYBChGgAAADDIKasLAGDcqY/CdS2HW1aXkWnKjGmY1SUAAGCHmWoAAADAIEI1AAAAYBChGgAAADCIUA0AAAAYRKgGAAAADCJUAwAAAAYRqgEAAACDCNUAAACAQYRqAAAAwCBCNQAAAGAQoRoAAAAwiFANAAAAGESoBgAAAAwiVAMAAAAGEaoBAAAAgwjVAAAAgEGEagAAAMAgQjUAAABgEKEaAAAAMIhQDQAAABhEqAYAAAAMIlQDAAAABhGqAQAAAIMI1XgmjB8/XkFBQVldBgAAyKYI1Xio69evy9nZWTExMUpISFDu3LkVGRlpd8wvv/yidu3aqUCBAsqZM6dKliypXr166eTJk5lW57Bhw7Rt27Z0HTMsLEwmk8n2kStXLpUrV05ffvllul4HAAA8/QjVeKh9+/YpKChIrq6uOnTokPLmzavChQvb9m/atEk1a9ZUXFycvv76ax07dkzLly9Xnjx5NHbs2Eyr083NTV5eXhky9okTJ3T58mUdPXpUb731lvr27ZvuAf7v4uPjM3R8AACQvgjVeKi9e/eqTp06kqQ9e/bYPpekmJgYvfnmmwoJCdHGjRvVuHFjFS1aVDVq1NDMmTP1xRdf2I7duXOnnn/+ebm4uMjX11fvvvuuEhISbPstFos+/PBDBQYGysXFRYULF9YHH3xg2z9y5EiVLFlSrq6uKlasmMaOHSuz2Wzb//flH926ddMrr7yimTNnytfXV15eXnr77bftzomPj9eIESNUsGBB5c6dWzVq1FBYWFiKe5A/f375+PioaNGiGjBggAICAvTf//7Xtt9qtWr69OkqVqyYcuXKpUqVKmnNmjW2/YmJierRo4eKFi2qXLlyqVSpUpo3b57dNZLrnTp1qvz8/FSyZMm0fHmeebMPLdW4vZ+k+OjUqZO6dOmixYsXq0uXLurUqZM6deqkgQMHZnXJAIBsyimrC8CTJzIyUhUrVpSUFJwdHR21ZMkSxcbGymQyydPTU506dVKTJk1048YNjRgxItVxPD09JUmXLl1SSEiIunXrpmXLlun48ePq1auXcubMqfHjx0uSRo0apfnz52vOnDmqW7euLl++rOPHj9vGcnd315IlS+Tn56fDhw+rV69ecnd3f+C1JWnHjh3y9fXVjh07dPr0aXXo0EFBQUHq1auXJOnNN9/UuXPntHLlSvn5+Wn9+vVq1qyZDh8+rBIlSqQYz2q1asuWLbpw4YJq1Khh2/7ee+9p3bp1+uyzz1SiRAnt2rVLb7zxhvLly6fg4GBZLBYVKlRIq1evlre3t/bu3avevXvL19dX7du3t42zbds2eXh4aOvWrbJaran2FBcXp7i4ONvjqKgoSZLFwapEh9TPeZr9FRetm/dup9xx37bo6Gjb51ar1e4Pp2dZcp/Zpd/70Tu9Z0fZuf+M6j29xzNZH/TbG9lWQkKCLl68qKioKFWrVk0HDx6Um5ubgoKCtHnzZhUuXFhubm5atGiRRo4cqZs3b+q555574HhjxozR2rVrdezYMZlMJknSp59+qpEjR+r27du6e/eu8uXLp08++UQ9e/ZMU40zZszQqlWr9PPPP0tKmqnesGGDIiIiJCXN/IaFhenMmTNydHSUJLVv314ODg5auXKlzpw5oxIlSujixYvy8/Ozjdu4cWM9//zzmjJlisLCwtSgQQPlzp1bUlKgtVgsmjhxosaMGSNJunv3rry9vbV9+3bVqlXLNk7Pnj0VExOjFStWpFr/22+/ratXr9pmtLt166bvv/9ekZGRypEjxwP7Hj9+vCZMmJBi+4oVK+Tq6pqme/c0Wbx4sV1ofhR3d3e9+eabGVgRAOBZERMTo06dOun27dvy8PAwPB4z1UjByclJAQEBWr16tapXr65KlSopPDxcBQoUUL169WzHpfXvsWPHjqlWrVq2QC1JderU0Z07d3Tx4kVduXJFcXFxatSo0QPHWLNmjebOnavTp0/rzp07SkhIeOQPQLly5WyBWpJ8fX11+PBhSdJ///tfWa3WFMss4uLiUqzN3r17t9zd3RUXF6effvpJ/fv3V968edW3b18dPXpU9+7dU5MmTezOiY+PV+XKlW2PP//8cy1YsEDnz59XbGys4uPjU7xbSYUKFR4aqKWkGf0hQ4bYHkdFRcnf319FTrrKI4fbQ899Gnk75JFzzpSr1Jw8XCRJsbGxypUr1/8d7+2tkJCQTKsvK5nNZm3dulVNmjSRs7NzVpeTqeid3rNb71L27j+jek9+tje9EKqRQrly5XT+/HmZzWZZLBa5ubkpISFBCQkJcnNzU5EiRXTkyBFbID1+/LjdLO3fWa1Wu0CdvE2S7V01Hmb//v3q2LGjJkyYoKZNmypPnjxauXKlZs2a9dDz/v6DZzKZZLFYJCWt4XZ0dNShQ4fsgreU9KLH+xUtWtS2lKVcuXI6cOCAPvjgA/Xt29c23ubNm1WwYEG781xckoLf6tWrNXjwYM2aNUu1atWSu7u7ZsyYoQMHDtgdnzwj/jAuLi62ce/nYDHJ0WJK5Yyn29CqXVPdXmZMQ5nNZoWGhiokJCTb/YK5n7Ozc7btn97pPTvKzv2nd+/pfR8J1UghNDRUZrNZjRo10vTp01W1alV17NhR3bp1U7NmzWzfhC+++KK8vb01ffp0rV+/PsU4f/31lzw9PVW2bFmtXbvWLlzv3btX7u7uKliwoPLly6dcuXJp27ZtqS7/CA8PV5EiRWxLLiTp/PnzhnqsXLmyEhMTde3aNb3wwguPda6jo6NiY2MlSWXLlpWLi4siIyMVHByc6vG7d+9W7dq11a9fP9u2M2fO/PPiAQDAE4dQjRSKFCmiK1eu6OrVq2rVqpUcHBx09OhRtW7d2m79ce7cubVgwQK1a9dOL7/8sgYMGKDAwEDduHFDq1evVmRkpFauXKl+/fpp7ty5euedd9S/f3+dOHFC77//voYMGSIHBwflzJlTI0eO1IgRI5QjRw7VqVNH169f15EjR9SjRw8FBgbaxqpevbo2b96caoh/HCVLltTrr7+uLl26aNasWapcubJu3Lih7du3q0KFCnZLCK5du6Z79+7Zln8sX75cbdu2lZS0hnfYsGEaPHiwLBaL6tatq6ioKO3du1dubm7q2rWrAgMDtWzZMm3ZskVFixbV8uXLdfDgQRUtWtRQDwAA4MlBqEaqwsLCVL16deXMmVO7d+9WwYIF7QJ1slatWmnv3r2aOnWqOnXqZFvj27BhQ02ePFmSVLBgQYWGhmr48OGqVKmS8ubNqx49eui9996zjTN27Fg5OTlp3Lhx+uOPP+Tr66s+ffrYrjF48GD1799fcXFxeumllzR27FjbO4f8U4sXL9bkyZM1dOhQXbp0SV5eXqpVq1aKNbmlSpWSlLTW3N/fX2+99ZbdtSdNmqT8+fNr6tSp+t///idPT09VqVJFo0ePliT16dNHERER6tChg0wmk1577TX169dP3333naH6AQDAk4N3/wCeYlFRUcqTJ4/2jfu38jyDL1R8ENZUK1v3T+/0nt16l7J3/xnVe/Lv0PR69w/+8RcAAADAIEI1AAAAYBChGgAAADCIUA0AAAAYRKgGAAAADCJUAwAAAAYRqgEAAACDCNUAAACAQYRqAAAAwCBCNQAAAGAQoRoAAAAwiFANAAAAGESoBgAAAAwiVAMAAAAGEaoBAAAAgwjVAAAAgEGEagAAAMAgQjUAAABgEKEaAAAAMIhQDQAAABhEqAYAAAAMIlQDAAAABjlldQEAjCsxoI68vLyyugwAALItZqoBAAAAgwjVAAAAgEGEagAAAMAgQjUAAABgEKEaAAAAMIhQDQAAABhEqAYAAAAMIlQDAAAABhGqAQAAAIMI1QAAAIBBhGoAAADAIEI1AAAAYBChGgAAADCIUA0AAAAY5JTVBQAwbtasWcqRI0dWl5GpHBwcVKlSJU2dOlUWiyWry8l02bl/eqf3J7H38ePHZ3UJyGLMVAMAAAAGEaoBAAAAgwjVAAAAgEGEagAAAMAgQjUAAABgEKEaAAAAMIhQDQAAABhEqAYAAAAMIlQDAAAABhGqAQAAAIMI1QAAAIBBhGoAAADAIEI1AAAAYBChGgAAADCIUA0AAAAYRKgGAAAADCJUAwAAAAYRqgEAAACDCNUAAACAQYRqAAAAwCBCNQAAAGAQoRoAAAAwiFANAAAAGESoBgAAAAwiVCPdmEwmbdiwIVOuNX78eAUFBWXKtdIiICBAc+fOfegxmXl/AABA5iJUPwWuX78uZ2dnxcTEKCEhQblz51ZkZKRt/98DndVq1dChQ+Xu7q7t27dnQcX/zIOCckaH0bVr16p+/frKkyeP3NzcVLFiRU2cOFE3b95M1+tcvnxZzZs3T9cxAQDAk4FQ/RTYt2+fgoKC5OrqqkOHDilv3rwqXLhwqscmJiaqR48eWrZsmbZv366GDRtmcrVPlzFjxqhDhw6qXr26vvvuO/3++++aNWuWfv31Vy1fvjxdr+Xj4yMXF5d0HRMAADwZnLK6ADza3r17VadOHUnSnj17bJ//XVxcnF577TUdPHhQu3btUpkyZWz7AgIC1Lt3b50+fVrffvutnnvuOb333nvq3bu37ZjDhw9r4MCB2rdvn1xdXdWmTRvNnj1bbm5utmMWLVqkWbNm6fTp08qbN6/atGmjTz75JNV6Jk6cqH/961/asmWLgoKCNHLkSK1fv14XL16Uj4+PXn/9dY0bN07Ozs5asmSJJkyYIClpZlqSFi9erPHjx0uSXn31VUlSkSJFdO7cOds1li9frrFjx+rWrVtq3ry55s+fL3d3d0lJM/YzZszQ559/rsuXL6tkyZIaO3as2rZtK0n66aefNGXKFM2dO1cDBw60u1dNmjTRX3/9JUk6c+aMhgwZov379+vu3bsqU6aMpk6dqsaNG9v1Gx0drU6dOmnjxo3y8PDQqFGj9M4779j2m0wmrV+/Xq+88orOnTunokWLau3atfr444914MABlShRQp9//rlq1aqV6v0EgAf59ddfFRcXl9VlZLj//ve/io+Pz+oyUtWpU6cMHd9qtSo2NlYrV660/Z7MLpJ7//HHH/Xxxx9ndTkPRKh+QkVGRqpixYqSpJiYGDk6OmrJkiWKjY2VyWSSp6enOnXqpE8//VSSdOfOHb300ku6cOGCwsPDU53JnjVrliZNmqTRo0drzZo16tu3r+rVq6fSpUsrJiZGzZo1U82aNXXw4EFdu3ZNPXv2VP/+/bVkyRJJ0meffaYhQ4Zo2rRpat68uW7fvq3w8PAU17FarRo0aJA2bNigPXv2qESJEpIkd3d3LVmyRH5+fjp8+LB69eold3d3jRgxQh06dNDvv/+u77//Xj/++KMkKU+ePHrppZeUP39+LV68WM2aNZOjo6PtOmfOnNGGDRu0adMm3bp1S+3bt9e0adP0wQcfSJLee+89rVu3Tp999plKlCihXbt26Y033lC+fPkUHBysr7/+Wm5uburXr1+qXwNPT0/bvQ0JCdHkyZOVM2dOLV26VC1bttSJEyfs7vOMGTM0evRojR8/Xlu2bNHgwYNVunRpNWnS5IFf5zFjxmjmzJkqUaKExowZo9dee02nT5+Wk1PqP5pxcXF2vzijoqIkSQ4ODnJwyF5PPCX3m936Tpad+6f3lL3//f8Nz6onucerV69mynWio6Mz5TpPohs3bshsNqfbeOk5liSZrFarNV1HRLpISEjQxYsXFRUVpWrVqungwYNyc3NTUFCQNm/erMKFC8vNzU3e3t4KCAjQ5cuX5e7urqNHjyp//vwpxgsICNALL7xgW9JgtVrl4+OjCRMmqE+fPpo/f75GjhypCxcuKHfu3JKk0NBQtWzZUn/88YcKFCigggUL6s0339TkyZNTrdlkMunbb7/Vv//9b/3888/aunWrChUq9MAeZ8yYoVWrVunnn3+WlLSmesOGDYqIiEgxbvIMb7Lx48drxowZunLlim1mesSIEdq1a5dtRtnb21vbt2+3m/nt2bOnYmJitGLFCoWEhOjSpUv69ddfH/0F+Zty5cqpb9++6t+/v6Sk+1umTBl99913tmM6duyoqKgohYaGpugjeaZ6wYIF6tGjhyTp6NGjKleunI4dO6bSpUunet3x48fbZvTvt2LFCrm6uj52HwCeDYsXL87WYQvZg7u7u9588810Gy8mJkadOnXS7du35eHhYXg8ZqqfUE5OTgoICNDq1atVvXp1VapUSeHh4SpQoIDq1auX4vgXX3xRP/74o205Q2qSZ76lpIDn4+Oja9euSZKOHTumSpUq2QK1JNWpU0cWi0UnTpyQyWTSH3/8oUaNGj207sGDB8vFxUX79++Xt7e33b41a9Zo7ty5On36tO7cuaOEhARD38QBAQG2QC1Jvr6+tn6OHj2qe/fupZgljo+PV+XKlSUl/WGRlqfQ7t69qwkTJmjTpk36448/lJCQoNjYWLsXi0pKsWyjVq1aj3xHkPu/Jr6+vpKka9euPTBUjxo1SkOGDLE9joqKkr+/v44cOaIcOXI8spdniYODgypUqKDDhw/LYrFkdTmZLjv3T+8pezeZTM/8azZMJpOcnZ1lNpv1JM4H5smTJ8OvERsbq1y5cmX4dZ5EsbGxKlSokEJCQtJtzORne9MLofoJVa5cOZ0/f15ms1kWi0Vubm5KSEhQQkKC3NzcVKRIER05csR2fKNGjTRgwAC1atVKiYmJqa45cnZ2tntsMpls/1N+WMA0mUxp/iFu0qSJvvnmG23ZskWvv/66bfv+/fvVsWNHTZgwQU2bNlWePHm0cuVKzZo1K03jpuZh/ST/d/PmzSpYsKDdccm/eEqWLKk9e/bIbDanGOt+w4cP15YtWzRz5kwFBgYqV65catu2bZrW9T0qtN9/3eRjHxYSXFxcUv3FabFYsl24SJade5eyd//0/n+9V6pUKQuryRwODg6qVKmSfv311yfy6578GqCMYjabFRoaqpCQkIf+znoWZVTv6X0fs9+CtKdEaGioIiIi5OPjo6+++koREREqX7685s6dq4iICNuSgvs1adJEmzZt0qJFi/T2228/1l/yZcuWVUREhO7evWvbFh4eLgcHB5UsWVLu7u4KCAjQtm3bHjrOyy+/rBUrVqhnz55auXKl3VhFihTRmDFjVK1aNZUoUULnz5+3OzdHjhxKTExMMaazs3Oq2x/Vj4uLiyIjIxUYGGj34e/vLynpRSV37tyxrUv/u+QXKu7evVvdunXTq6++qgoVKsjHx8fuxZLJ9u/fn+Lxg2acAQDAs4WZ6idUkSJFdOXKFV29elWtWrWSg4ODjh49qtatW8vPz++B5zVs2FCbN29WixYtZLVa9a9//StNSxxef/11vf/+++ratavGjx+v69ev65133lHnzp1VoEABSUl/hffp00f58+dX8+bNFR0drfDwcLt3uJCS3qlj+fLl6ty5s5ycnNS2bVsFBgYqMjJSK1euVPXq1bV582atX7/e7ryAgACdPXtWERERKlSokNzd3eXi4mIL83Xq1JGLi4uee+65R/bj7u6uYcOGafDgwbJYLKpbt66ioqK0d+9eubm5qWvXrqpRo4ZGjBihoUOH6tKlS3r11Vfl5+en06dP6/PPP1fdunU1cOBABQYGat26dWrZsqVMJpPGjh2b6ixJeHi4pk+frldeeUVbt27Vt99+q82bNz+yVgAA8PRjpvoJFhYWpurVqytnzpw6cOCAChYs+NBAnax+/foKDQ3V8uXL1bdv3zTNWLu6umrLli26efOmqlevrrZt26pRo0Z2b5fXtWtXzZ07V59++qnKlSunFi1a6NSpU6mO17ZtWy1dulSdO3fWunXr1KpVKw0ePFj9+/dXUFCQ9u7dq7Fjx9qd06ZNGzVr1kwNGjRQvnz59M0330hKeteSrVu3yt/f37YeOi0mTZqkcePGaerUqSpTpoyaNm2q//znPypatKjtmA8//FArVqzQgQMH1LRpU5UrV05DhgxRxYoV1bVrV0nSnDlz9Nxzz6l27dpq2bKlmjZtqipVqqS43tChQ3Xo0CFVrlxZkyZN0qxZs9S0adM01wsAAJ5evPsH8BSLiopSnjx5NGrUqGz5QsUneX1lRsvO/dM7vT+JvbOmOuNkVO/Jv0PT690/mKkGAAAADCJUAwAAAAYRqgEAAACDCNUAAACAQYRqAAAAwCBCNQAAAGAQoRoAAAAwiFANAAAAGESoBgAAAAwiVAMAAAAGEaoBAAAAgwjVAAAAgEGEagAAAMAgQjUAAABgEKEaAAAAMIhQDQAAABhEqAYAAAAMIlQDAAAABhGqAQAAAIMI1QAAAIBBhGoAAADAIEI1AAAAYJBTVhcAwLihQ4fKy8srq8vIVGazWaGhoRo1apScnZ2zupxMl537p3d6z2694+nATDUAAABgEKEaAAAAMIhQDQAAABhEqAYAAAAMIlQDAAAABvHuH8BTzGq1SpKio6Oz3avhzWazYmJiFBUVle16l7J3//RO79mtdyl7959RvUdFRUn6v9+lRhGqgafYn3/+KUkqWrRoFlcCAMDTKTo6Wnny5DE8DqEaeIrlzZtXkhQZGZku/0N4mkRFRcnf318XLlyQh4dHVpeT6bJz//RO79mtdyl7959RvVutVkVHR8vPzy9dxiNUA08xB4ekl0XkyZMn2/1PNpmHh0e27V3K3v3TO71nR9m5/4zoPT0npHihIgAAAGAQoRoAAAAwiFANPMVcXFz0/vvvy8XFJatLyXTZuXcpe/dP7/SeHWXn/p+W3k3W9HofEQAAACCbYqYaAAAAMIhQDQAAABhEqAYAAAAMIlQDAAAABhGqAQAAAIMI1QAAAIBBhGoAAJ4B2fkdci0WS1aXkCWya9+SFB0dndUlpECoBp4xFotFiYmJdtuy2y/b7NYvJLPZrISEhKwuI0tcvXpV165dk8lkynbf+4cPH9Yvv/wiB4fsF2dOnz6tZcuW6fLly1ldSqY7efKkQkJCtGfPnqwuxU72+y4EnmHHjh1Tv3791LRpU40dO1b//ve/JSlb/LK9fPmyDh06JCl79Hu/M2fOaMqUKerSpYuWLVumS5cuZXVJmer48ePq16+f6tevr2HDhungwYNZXVKmOX/+vEqXLq233npLFy5ckMlkyjazl7/99psqVaqk//znP1ldSqb77bffVKNGDf3++++Kj4+XlH0mEyIiIlSlShWFh4frt99+k/TkzNgTqoFnxPHjx1W7dm3duXNHRYsWVXh4uAYPHqyxY8dKeraD5vHjx1WuXDmNHTtWP/30k6Rnu9/7/f7773rhhRe0d+9eXb58WW+//bY++eQTSU/OL5qMdPjwYdWtW1eJiYmqVq2atmzZom+//Tary8o0//vf/2zPTo0aNUoXLlyQg4PDM/+9HxERoZo1a2r48OEaN25cVpeTqf744w+1adNGPXv21MyZM1WkSBFJUlxcnO2YZ/Xr/+uvv6p27doaO3asJk2apEmTJunixYtPzjMVVgBPPYvFYh08eLC1ffv2tm0XLlywzpkzx5orVy7r8OHDs7C6jHX16lXrCy+8YG3YsKG1ZMmS1jZt2lgPHDhg22+xWLKwuowVGRlpLVOmjHXkyJG2bStXrrS6urpaT506lYWVZY5z585ZixYtah01apRt27Rp06yvv/669c6dO9bExMQsrC5zHD9+3BoUFGSdPHmytXbt2tZOnTpZr127ZrVarda4uLgsri5jnDp1yurg4GD94IMPrFar1RofH2/95ptvrO+//7512bJl1oMHD2ZxhRnrxx9/tNapU8eakJBgjY+Ptw4dOtT64osvWlu2bGmdOXOm7bhn7f99ERERVhcXF9vP++7du63Fixe3Ll++3Gq1Wp+In3enrA71AIwzmUw6ffq0nJ2dbdsKFSqkHj16KEeOHBo7dqx8fX01ePDgLKwyY1y4cEF+fn569913lZCQoE6dOmn69OkaMWKEnn/+eduMtclkyupS05XFYtH333+vsmXL6p133pHVapXValXTpk1VpEgR/fnnnwoMDMzqMjOMxWLRnj171KJFCw0aNMi2/fLlyzp+/LiqVq2qypUrq379+nrrrbeyrtAMlJiYKA8PD+XNm1dvv/22fH19tXTpUo0aNUoXL15U1apVNXHiRDk6OmZ1qekmMTFR33//vaxWq/z8/CRJzZs3140bN2Q2mxUVFaXChQurX79+ev3117O42oxx4sQJJSYmytHRUU2bNpWTk5OqVq2qqKgojRs3TufPn9dHH330TP0/Lzo6Wj179tSwYcM0efJkSVLdunVVokQJffLJJ3rjjTeejNnqrM30AIxKno2YMWOGtXbt2tYTJ07Y7b9+/bp1+PDh1nr16lkvX76cFSVmqOjoaGtERITt8YEDB6yBgYHWNm3aWPfv32/bnpCQkBXlZaitW7daJ02aZLctISHBWrx4ceuaNWuyqKrMc+HCBevhw4dtj8eOHWvNlSuXdc6cOdbPPvvM2rdvX2vFihXtnrl4FoWEhFjDwsKsVqvVunTpUquvr6/VxcXFunHjRqvV+mTM4KWnS5cuWadNm2b18PCw5s+f39q6dWvbMzO//vqrtWPHjtaGDRtar1y5ksWVZoyffvrJGhAQYJ02bZq1SZMm1vPnz1utVqvVbDZbv/nmG2u+fPmsmzdvzuIq09/9v9vMZrPVarVaw8PDrYUKFbJ+/fXXWVWWnScg1gMwInk2olKlSvrjjz/09ddf6+bNm7b93t7eatWqlfbv36+zZ89mVZkZxs3NTeXLl5eU9A4Qzz//vFasWKFff/1VM2bM0E8//SSLxaIpU6Zo9erVWVxt+mrcuLFGjx4tyX4NZc6cOe1mbdavX69ffvkl0+vLaIUKFVLZsmVtj+/du6fVq1dr0KBB6tOnj/r27atz587p3LlzWVdkBoqPj7d93Y8cOSJJ2r59u2JiYlSuXDmtX79e58+ffzJm8NKRn5+funTpohEjRqhKlSoaN26c7VmZihUrqnv37tqxY4ciIyOzuNKM4e3trYoVK2rdunWKjo5W4cKFJUlOTk5q2LChvLy8dPHixSyuMv2VLFnS9s5WTk5JCy0CAwPl6+urbdu2ZWVpNiz/AJ5CZ8+e1bZt23Tnzh2VKVNGTZs2VZMmTTRw4EANGzZMLi4u6tatm+3p0RIlSqhMmTJZXHX6SK13R0dHWSwWOTs7y2KxqHr16vrmm2/02muvacaMGTKbzfrhhx+e+neFuL/30qVLq1mzZnJwcFBCQoKcnJxksVhkMpnk7u4uDw8PSdKoUaP0r3/9y/Yq+adZal/7+/ufPn26pKSlIQ4ODnruuedUtmxZ+fj4ZHHlxt3fe9myZfXiiy8qR44ckqRWrVopISFBPXr00A8//KBdu3bp4MGDmjt3rqZMmaJ//etfthDyNErt+97X11fdunXTiy++aPvDKvnr7u7urjJlysjLyyuLKzcute/5okWL6vXXX1ffvn1169Ytbd68WS+99JIkKX/+/CpUqJBcXFyyuHLjUvueT/5/ffKLcfPnz6/hw4frjTfe0Jtvvqm6detmbdFZPFMO4DEdPnzYmjdvXmujRo2sfn5+1rJly1rr1atnvXv3rtVqTVoG4u7ubu3du7d106ZN1nPnzlmHDRtmLViwoPWPP/7I4uqNSa33Bg0aWO/cuWO1Wv9vKUzy09379u2zmkwm63PPPWf95ZdfsqrsdPGo3pOZzWZrhQoVrKGhodbx48dbXV1dn4kXbqXla//3F2aNHj3aWrFixad+2dOjel+0aJHVZDJZCxYsaP35559t5y1atMh69uzZLKo6faTWe3BwsK331JZ1jRw50lqzZk3rn3/+mdnlpqsH/b8+uffVq1dbixQpYq1UqZL1888/t/7000/W4cOHW318fJ7Jr3tq/6+3WpNesF2vXj3r/2PvzsNruvr3j98nEzJJkxiCRBDzFENqFlpK06rWTIugxipKUTXT0lJT26eTIYZWQ2t4PJVWtRIzVZVSMRdBjTVEJTKe3x9+2V+nCcIOQd6v63LVWXvvtddnJZo7K+vsDB8+PMe3OhGqgUfItWvXrPXq1bP27dvXarVarZcuXbJ+//331kqVKlnLlStn7CGcN2+etUmTJlZnZ2drhQoVrMWLF7f+9ttvOTl0025Xe8WKFY3a07/IJiQkWF9//XVr/vz5rXv37s2xcWeHrNaemppqTU5OttauXdtavnx5a968eW1C1qMqq/Wn279/v3XYsGFWDw8Pm/32j6Lb1V6hQgWj9ilTplh37txptVofnz3UWa09PWDt27fP+uabb1rz589v/f3333Ns3Nkhq/+vX716tbVbt25WFxcXa6VKlayVKlXKNf+vT99XbbVarb1797aWKFHCmpCQkCNjTkeoBh4hFy9etFauXNm6fPlyoy0tLc168OBBa/Xq1a2VKlUy2s+ePWvds2eP9bfffnss3rBzp9oDAwNt2o8ePWoNCAiwebPio+pOtVetWtVov3LlirVy5cpWDw8P6+7du3NgtNnvbuo/cOCAtXv37tZatWo98oHaar272h83d/Nvft++fdaOHTtaAwMDH/mfSlmtd669cuXKRntSUpL19OnT1pMnT1ovXryYE8PNVnfzcU8P1nFxcdZjx4498LH+2+P17gXgMefu7q60tDRFRkYabRaLRaVLl1ZYWJiSkpLUt29fSTf21lWqVEnVqlVToUKFcmrI2eZOtcfHx6t///5Gu7+/v37//XfVqlUrp4acbe5Ue0JCglG7u7u7xowZo82bN6ty5co5NeRsdTf1lylTRm+++ab++9//qmrVqjk15GxzN5/3j5u7qb1cuXJ66623FBERocDAwBwacfa5U+2JiYnq16+fpBtv2itcuLCKFi2qJ554IqeGnG3u5uOe/l4BNzc345fg5CRCNfCIsFqtsre3V9u2bfXrr78qIiLC5njlypXVsWNH7d27V9euXcuhUd4fWa199+7dNrU7Ozs/6KFmu7up/erVq5KkNm3a2DwV41F2N/X/888/kqTy5cs/Ft9IZqX2Tp06affu3YqPj8+hUd4f9/Jxr1Klinx8fHJiuNkqq7X/8ccfunbt2mP1POq7+bg/jJ/zhGrgEZH+P87OnTvLarXqP//5j6KiomyOV6hQQX/99ddD+T8bM6g9a7Vfv349h0Z5/9xN/QkJCTk0yvvjbmp/3L6R5uPO/+8exc95QjXwCLFarSpZsqS++OILxcbGasqUKZo/f74kKTExUb/88ouKFCmifPny5exA7wNqz521S7m7fmqndmp/dGq3WK03/cYAAA+FlJQUWa1Wm187nv5szvT/xsTEaNSoUdqzZ48SEhIUEBCg3bt3a926dY/0nkJqz521S7m7fmqn9nTU/ujWTqgGHjIxMTEaP368/vrrLwUEBOiZZ55Rx44dJUmpqak2D7+/cOGCjh07pu+//17FihVTgwYNjN8s9iii9txZu5S766d2aqf2x6N2QjXwEDl48KCefPJJtWjRQqVLl9bPP/+sq1evqmrVqgoLC5N041cTp/8mtccJtefO2qXcXT+1Uzu1P0a138/n9QHIurS0NOvIkSOtbdq0MdquXbtm/fjjj62VK1e2tmvXzub8efPmWWNjYx/0MO8Las+dtVutubt+aqf2dNT+eNTOGxWBh4TFYtGpU6d05swZo83Z2Vndu3fXwIEDdejQIY0YMUKStGXLFk2aNElvv/22UlNTc2rI2Ybac2ftUu6un9qpPR21Px61O+T0AADceLezxWJR9erVdeDAAe3fv1/lypWTJOXLl09t27bVwYMHFRkZqUuXLqlu3boaNmyYmjRpInt7+xwevTnUnjtrl3J3/dRO7dT+GNaec4vkAP7t8OHDVm9vb2u3bt2scXFxNsf++usvq52dnfXbb7/NodHdX9SeO2u3WnN3/dRO7dT+fx712tn+ATxESpUqpaVLl2rx4sUaMWKELly4YBxzcnJStWrV5OXllYMjvH+oPXfWLuXu+qmd2qn98amd7R/AQ6Zx48b65ptv1LZtW/31119q27atqlSpokWLFunkyZMqVapUTg/xvqH23Fm7lLvrp3Zqp/bHo3YeqQc8pH777TcNHjxYR48elYODgxwdHfX111+rWrVqOT20+47ac2ftUu6un9qpndof7doJ1cBDLC4uThcvXtQ///yjwoULy9vbO6eH9MBQe+6sXcrd9VM7tVP7o1s7oRoAAAAwiTcqAgAAACYRqgEAAACTCNUAAACASYRqAAAAwCRCNQAAAGASoRoAAAAwiVANAAAAmESoBgAAAEwiVAMAHqhjx47JYrHc9k9gYGBODxNZZLFY1KhRo5weBpDjHHJ6AACA3KlUqVJ65ZVXMj1WuHDhBzwaADCHUA0AyBEBAQEaN25cTg8DALIF2z8AAA+19O0F58+fV/fu3VWwYEHly5dPtWvXVlRUVKbX7N69WyEhIXJzc1P+/PkVEhKiP/74Q6GhobJYLDp27Jhx7pUrV/T+++8rODhYRYoUkZOTk4oUKaIuXbroyJEjmfZ/4cIF9erVSwULFpSzs7OCgoK0YsUKzZ8/XxaLRfPnz890TB06dJCPj4+cnJxUvHhxvf766/r7779tzkvfHhMaGqp9+/bp+eefl4eHh5544gl17NhRFy5ckCRt375dTZs2lbu7u5544gn17NlT165dy3S8GzZsUIsWLeTt7a08efKodOnSGjVqlOLj423Oi4qKksVi0bhx4/Tbb7+pWbNmxhy+9NJLNvOWfq4krV+/3mb7Tmb1A487VqoBAA+9y5cvq169enJ3d9fLL7+sc+fOacmSJWrWrJl27typSpUqGef+/vvvatCggeLj49WqVSsFBARo586dql+/vqpWrZqh73379mnMmDFq3LixXnrpJbm4uGj//v1avHixVq9erd9++03Fixc3zv/nn38UHBysmJgY1a9fX/Xr19epU6fUsWNHPfPMM5mOf9WqVWrXrp3s7e31wgsvyNfXVzExMfr444+1Zs0abd++XU888YTNNUePHlXdunVVs2ZNvfrqq/r1118VHh6uEydO6P3331fTpk3VtGlT9erVS1FRUZozZ44kafbs2Tb9fPbZZ+rXr5+eeOIJtWjRQgUKFNCOHTv07rvvKjIyUpGRkXJycrK55tdff9XUqVPVqFEj9e7dW7t27dLKlSu1Z88e/fHHH8qbN6/8/f01duxYjR8/XsWLF1doaKhxPXvikStZAQB4gI4ePWqVZC1VqpR17Nixmf75/vvvjfMlWSVZ+/XrZ01NTTXa58yZY5Vk7d27t03/9evXt0qyfvPNNzbtY8eONfo6evSo0X758mXr33//nWGc69ats9rZ2VlfffVVm/ZRo0ZZJVlfe+01m/bIyEij/7CwMKP9woULVnd3d2uxYsWsx48ft7lm8eLFVknW/v37Z5gfSdaZM2ca7WlpadaQkBCrJKuHh4d15cqVxrGkpCRrlSpVrI6OjtYzZ84Y7Xv37rU6ODhYq1WrlqHGyZMnWyVZP/jgg0xrCA8Ptzm/c+fOVknWr7/+2qZdkjU4ODjD/AG5DaEaAPBA3Rwab/Vn4MCBxvmSrC4uLtarV6/a9JOcnGx1cHCwVq9e3Wg7duyYVZK1WrVqGe577do1q6enZ4ZQfTuVK1e2+vv727T5+/tb8+TJYz137lyG85s1a5YhVE+fPt0qybpo0aJM71G9enWrt7e38Tp9fkqWLGnzTYTVarUuXLjQKsnauHHjDP1MmDDBKskaGRlptA0YMMAqybpx48YM56emploLFChgrVGjhtGWHqobNmyY4fz0Y4MHD7ZpJ1QDN7D9AwCQI5o1a6YffvghS+eWLl1arq6uNm0ODg4qVKiQLl++bLT9/vvvkqS6detm6MPZ2VlVq1ZVZGRkhmNRUVGaOXOmtm/frgsXLiglJcU4dvPWiLi4OB07dkwVK1ZUgQIFMvRTt25drVmzxqZt27Ztxn8PHz6c4Zrr16/rwoULunDhgry9vY32qlWrys7O9q1PPj4+kjLfXpF+7NSpUxnu/cMPP+inn37KcI2jo6P279+fob169eoZ2ooVKyZJNvMN4P8QqgEAD738+fNn2u7g4KDU1FTjdVxcnCRlGnglqVChQhnavvnmG7Vv316urq5q1qyZ/P395ezsbLzh7vjx46b6v3jxoiTpP//5T6bXpLt27ZpNqHZ3d89wjoODwx2PJScnZ7j3u+++e9t7/1tm853e/83zDeD/EKoBAI+N9LB5/vz5TI+fPXs2Q9u4ceOUN29e7dy5U6VLl7Y5Fh4ebrr/9Gv27Nlj84bKByH93nFxcXJzc3ug9wZyGx6pBwB4bKQ/3WPLli0ZjsXHxxvbQ2525MgRlS9fPkOg/uuvvzI8Us/d3V3+/v46fPhwpsE6s/vWqlVLkrR169asF5JN0u+dvg3kfrCzs2P1GhChGgDwGClevLjq1aunXbt26dtvv7U5NnXqVGM7xL+vOXz4sM0q8/Xr19W3b1+bvdXpXn75ZSUmJmr8+PE27VFRURn2U0tSt27d5ObmppEjR2rv3r0ZjsfHx9+30NuvXz85ODjo9ddf14kTJzIcv3z5snbt2mXqHp6enjp58qSpPoDHAds/AAA54vDhw7f9jYr3+tsWP/roIzVs2FAdOnRQ69atVapUKf3222/atm2bGjZsqA0bNti8AfD111/X66+/rmrVqqlNmzZKSUnR2rVrZbVaVbVq1Qyr28OHD9eyZcv0n//8R7t371b9+vV18uRJLV26VC1atND//vc/m/4LFCigr7/+Wm3btlXVqlXVvHlzlStXTtevX9fx48e1fv161a1bN8tv2rwblSpV0ieffKK+ffuqbNmyCgkJUalSpRQXF6c///xT69evV2hoqD777LN7vsdTTz2lpUuXqk2bNqpWrZrs7e313HPPqXLlytlYCfDwI1QDAHLEkSNHMqz23uxeQ3W1atW0ceNGvfXWW4qIiJDFYlH9+vW1adMmjRgxQpLtG/1ee+01OTo66qOPPtLs2bPl4eGh5557TpMmTVK7du0y9O/m5qYNGzZoxIgR+u9//6sdO3aoYsWK+vrrr/Xnn3/qf//7X4Y3Ej733HPatWuXpk6dqp9++klr166Vi4uLihUrpm7duumVV165p1qzomfPngoMDNT06dO1YcMGrVq1Svnz55efn5/eeOMNde3a1VT/s2bNkiStW7dOK1asUFpamgoXLkyoRq5jsVqt1pweBAAA91tqaqpKlSqlhISETN9QmB1eeeUVffXVV4qJiVH58uXvyz0APJzYUw0AeKykpKTowoULGdrfe+89HT9+XC+++KLpe5w+fTpD2/r16xUeHq6yZcsSqIFciJVqAMBj5fLlyypUqJCaNm2qMmXKKDk5Wdu3b9eOHTvk4+OjnTt3Gr8o5V5Vq1ZN+fLlU2BgoFxcXBQTE6MffvhB9vb2Wr16tZo2bZpN1QB4VBCqAQCPlaSkJA0aNEjr1q3TX3/9pevXr8vHx0fPPvusRo8eraJFi5q+x8yZM/XVV1/pyJEjunr1qjw8PFSvXj2NGDHCeIwdgNyFUA0AAACYxJ5qAAAAwCRCNQAAAGASoRoAAAAwiVANAAAAmESoBgAAAEwiVAMAAAAmEaoBAAAAkwjVAAAAgEmEagAAAMAkQjUAAABgEqEaAAAAMIlQDQAAAJhEqAYAAABMIlQDAAAAJhGqAQAAAJMI1QAAAIBJhGoAAADAJEI1AAAAYBKhGgAAADCJUA0AAACYRKgGAAAATCJUAwAAACYRqgEAAACTCNUAAACASYRqAAAAwCRCNQAAAGASoRoAgH+JiorSuHHjFBUVldNDyVbR0dEaN26cVq5cmdNDAR47hGoAAP4lKipK48ePfyxD9fjx4wnVwH1AqAYAAABMIlQDAAAAJhGqAQCPLIvFIovFIklatmyZGjZsKA8PD1ksFh07dsw47+LFixo5cqQqVaokFxcXubm5qXbt2po9e7bS0tIy9Dl+/HhJ0vjx4417WCwWhYaGSpKqVq0qi8Wi3bt321x79uxZ49zRo0dnGG+jRo1ksVgy3VayZs0avfDCCypUqJDy5MmjYsWKqVu3bjpy5Mgt64+Pj9f777+vmjVryt3dXc7OzgoMDNTUqVOVmJhoc66/v7+6desmSVqwYIFNXY0aNbrlPQBkjUNODwAAALPef/99vfXWWypUqJDKlCljE6j37t2rZs2a6dSpU3JyclJAQIASExP1yy+/aPv27frxxx+1dOlSI5zXq1dPsbGxOnHihHx9feXn52f0VaZMGUlSw4YNtXv3bq1fv15VqlQxjq9fvz7Tv0tSYmKitm/frjx58qh27do2xwYNGqRZs2ZJkgoWLKiKFSvqyJEjmj9/vpYvX67vv/9edevWtbnm1KlTeuaZZxQTEyMHBwf5+/vL0dFRe/fu1bBhw7Rq1Sr9+OOPypcvnyQpKChITk5OOnTokAoWLKjSpUsbfVWuXPmu5xzAv1gBAHhESbJKsjo5OVm/+OILa1pamtVqtVqTk5OtycnJ1n/++cdaqlQpqyTrgAEDrFeuXDGu3bt3r7VixYpWSdaPP/7Ypt+xY8daJVnHjh2b6X2/+eYbqyRr69atbdr79etnlWQtWrSoNU+ePNaEhATj2IYNG6ySrA0aNLC55rPPPrNKspYoUcIaGRlptKekpFjfeecdqyRrsWLFbPpKTU211q1b1yrJ2qFDB+uZM2eMYydOnLA2aNDAKsn65ptv2twrLCzMKsnatWvXW08qgHvC9g8AwCOvd+/e6tmzp7Ha7ODgIAcHB82bN09HjhzRSy+9pFmzZsnd3d24pkKFClq8eLEsFoumT59+V/dr2LChJGnDhg027evXr5enp6d69OihxMREbdu2zeaYJAUHBxttSUlJGjdunOzt7bVs2TKbbRj29vYaOXKkWrdurZMnT+qbb74xjq1evVpbtmxRUFCQFi1apEKFChnHihUrpiVLlsjV1VWfffaZEhIS7qo2APeGUA0AeOR16dIl0/bly5dLkl599dVMj1epUkX+/v76888/dfLkySzfr2DBgipXrpzOnz+vffv2SZL+/vtvxcTEqGHDhkY4vnkLSHoATw/kkrR161adOXNG1atXV7Vq1TK91wsvvJChr/S6QkND5eCQcSenj4+PgoKC9M8//2jnzp1ZrgvAvWNPNQDgkVe+fPlM2/fs2SNJGjNmjCZNmpTpORcuXJB0Y49ysWLFsnzPhg0bav/+/Vq/fr3Kly+vDRs2yGq1Kjg4WLVr15aTk5MRhFNSUrRlyxY5ODjY7I1OH9+xY8dUv379TO9z+fJlY3z/vu7TTz/V4sWLM73u4MGDGa4DcP8QqgEAjzwXF5dM269cuSJJWVqtvdttEsHBwfriiy+0fv169enTx2Z7R758+RQUFKRt27YpKSlJv/32m65du6batWvbjDV9fOfPn9f58+ezPL706/74449srwvAvWH7BwDgseXq6ipJOnTokKxW623/3O1j5dL3RqeH6fXr1yt//vyqWrWqcTwhIUG//PJLpvupbx7fyy+/fMfx3fwYvvTr1q5de8fr0h8DCOD+IlQDAB5bFSpUkJS1Fd2bpb/h8XaKFi2qkiVL6vTp0/r111+1e/duNWjQQHZ2N7603hy6M9tPbWZ897MuAPeGUA0AeGy1atVKkvThhx/KarVm+br0ZzvfaetEekh+5513lJaWZrMSXbduXTk4OOjnn3/Wpk2bZG9vn2HfdIMGDeTt7a3ff/89018IcyvpdX3++ee6fv16lq/Lal0A7h6hGgDw2Ordu7dKliypyMhIvfzyyzp9+rTN8X/++UdLly7V4MGDbdpLliwpSdqyZYtSUlJu2X96iF61apXNa+nGFo3q1asrKipKcXFxCgwMtHmknyTlzZtXEyZMkCS1bdtWK1asyBD+//jjDw0fPlybN2822l566SXVrl1b+/fvV4sWLXT48GGbaxITE7V69Wp1794907p27Nih+Pj4W9YF4O5ZrHfzrTsAAA+R9O0Mt/tStn//foWEhOjo0aOys7NT2bJl5e7urkuXLunIkSNKTU1VrVq1bJ4pHRcXJ39/f126dEk+Pj4qWbKkHBwc1Lx5c7311lvGeX/++adKlSolSXJzc9OlS5dkb29vHB82bJimTp0qSRo8eLCmTZuW6RhHjBih9957T5Lk6empUqVKKTU1VceOHdPFixclSd9//72aN29uXHP69Gk999xz2rVrlyQpICBAXl5eunr1qg4fPqykpCQVKlRIZ86cMa5JS0tTuXLldOjQIXl5ealMmTJycnJSYGCgZs6ceecJB3BLrFQDAB5r5cqV0++//6733ntPQUFBOnXqlKKjo5WUlKTg4GB98MEHCg8Pt7nG3d1dP/74o5599lklJiZq69atWr9+vfbv329zXsmSJY3H8NWrV88mUEu2K9f/3k99s8mTJ2vz5s3q1KmTXFxc9Pvvv+vYsWMqVqyYunfvrtWrV+vpp5+2ucbHx0dbt27VJ598ooYNG+rvv//Wrl27dPXqVT355JMaP368IiMjba6xs7PT6tWr1aZNG9nb2xtvooyOjs7yfALIHCvVAAAAgEmsVAMAAAAmEaoBAAAAkwjVAAAAgEmEagAAAMAkQjUAAABgkkNODwDAvUtLS9Nff/0lNzc3fv0wAAB3wWq16urVqypSpIjs7MyvMxOqgUfYX3/9JV9f35weBgAAj6wTJ04Yz5s3g1ANPMLc3NwkSUePHpWnp2cOjyZnJCcn68cff9QzzzwjR0fHnB7OA5fb65eYg9xev8Qc5Pb6pXubg7i4OPn6+hpfS80iVAOPsPQtH25ubnJ3d8/h0eSM5ORkOTs7y93dPVd+Mcnt9UvMQW6vX2IOcnv9krk5yK7tk7xREQAAADCJUA0AAACYRKgGAAAATCJUAwAAACYRqgEAAACTePoH8Bho/s63SnPIl9PDuKWdU7vk9BAAALivWKkGAAAATCJUAwAAACYRqgEAAACTCNUAAACASYRqAAAAwCRCNQAAAGASoRoAAAAwiVANAAAAmESoBgAAAEwiVAMAAAAmEaoBAAAAkwjVAAAAgEmEagAAAMAkQjUAAABgEqEaAAAAMIlQDQAAAJhEqAYAAABMIlQDAAAAJhGqAQAAAJMI1QAAAIBJhGoAAADAJEI1AAAAYBKhGgAAADCJUI2HSmhoqF588cUsn3/s2DFZLBZFR0fftzEBAADcCaHapPPnz8vR0VHx8fFKSUmRi4uLYmNjM5w3adIk2dvb67333run+zRq1EiDBg2yaUsPlA4ODjp16pTNsdOnT8vBwUEWi0XHjh27p3veyeLFi2Vvb68+ffrcl/4tFstt/4SGhmbLfd566y2VL1/epm3fvn2yWCzq3LmzTfuiRYvk6Oiof/75J1vuDQAAHg+EapO2bt2qwMBAOTs7a+fOnfL09JSfn1+G88LCwjRs2DDNmzcv28dQpEgRLVy40KZtwYIFKlq0aLbf62bz5s3TsGHDFB4ervj4+Gzv//Tp08afmTNnyt3d3aZt1qxZ2XKfxo0ba//+/Tpz5ozRFhUVJV9fX0VGRtqcGxUVpSeffFKurq7Zcm8AAPB4cMjpATzqtmzZonr16kmSNm3aZPz9ZuvXr1dCQoImTJighQsXasOGDWrYsKFxfNy4cVq5cqWGDBmi0aNH69KlS3r22Wc1e/Zsubm5KTQ0VOvXr9f69euNIHn06FHj+q5duyosLEwjRoww2ubPn6+uXbtq4sSJRltqaqp69eqldevW6cyZM/Lz81O/fv00cOBA45zQ0FBdvnxZ9evX17Rp05SUlKQOHTpo5syZcnR0NM47duyYtmzZomXLlikyMlLffvutunTpYnP/QYMGacmSJRo0aJBOnDih+vXrKywsTD4+PsZ4hg4dqnnz5sne3l49evSQ1Wo1+ihcuLDx9/z588tisdi0SdKlS5ckSX/++afeeOMNbd++XaVLl9Znn32mOnXq2Hyc3nrrLe3YsUPe3t566aWXNHnyZLm4uKh+/fpydHRUVFSUOnToIOlGeH7ttdc0adIkHT58WAEBAUZ7x44dJUnTp09XWFiY/vzzT3l6eqpFixaaMmWKEbiPHz+u/v37a9OmTUpKSpK/v7+mTp2qkJAQRUVFqXHjxvruu+/09ttv68CBA6patarmzJmjypUrZ/gcMsv1wPeyS76W7f1mVadOP9y3vq1WqxISEhQeHi6LxXLf7pPdChQokG3fGAIAch6h+h7ExsaqSpUqkqT4+HjZ29tr/vz5SkhIkMVikYeHhzp16qRPPvlEkjR37lx17NhRjo6O6tixo+bOnWsTqiXpyJEjWrlypb777jtdunRJ7dq103vvvad3331Xs2bN0sGDB1WpUiVNmDBB0o0vyCdOnJAkvfDCC/rss8+0adMm1a9fX5s2bdLFixfVokULm1CdlpamYsWKaenSpfL29taWLVvUq1cv+fj4qF27dsZ5kZGR8vHxUWRkpA4fPqz27dsrMDBQPXv2NM6ZN2+ennvuOeXPn1+vvPKK5s6daxOq0+fmgw8+0KJFi2RnZ6dXXnlFb775pr766itJ0rRp0zRv3jzNnTtXFSpU0LRp07RixQo99dRTd/0xGTlypD744AOVLl1aI0eOVMeOHXX48GE5ODhoz549atasmSZOnKi5c+fq/Pnz6t+/v/r376+wsDC5uLgoKChIkZGRRqhev369hg4dqvXr1ysyMlIBAQE6ceKE/vzzTzVu3FiSZGdnpw8//FD+/v46evSo+vXrp2HDhhkf99dee01JSUnasGGDXFxcFBMTk2GFe+jQoZo1a5YKFy6st99+Wy+88IIOHjxo8w3MzRITE5WYmGi8jouLkyQ52Utp9reeH7vka7JLyrlQffbs/b/31atX7/s9spPValVycrLpftL7yI6+HlW5fQ5ye/0Sc5Db65fubQ6ye74s1puXBpElKSkpOnnypOLi4lSzZk3t2LFDrq6uCgwM1OrVq+Xn5ydXV1d5e3srLi5OPj4+2rJli6pWraro6GjVq1dPp0+flru7u6QbK9VTp07VmTNn5ObmJkkaNmyYNmzYoG3btkm6sac6MDBQM2fONMZx7NgxlShRQrt27dKCBQt05coVzZs3T927d5eHh4e6dOmiatWq6ejRo/L398+0ltdee01nz57Vt99+K+nGSnVUVJSOHDkie/sbKa1du3ays7NTeHi4pBvh3N/fXx999JFatmypCxcuqEiRIoqJiTFWdOfPn69u3brp8OHDKlWqlCTpk08+0YQJE4xtFkWKFNHAgQM1fPhwY15LlCihGjVqaOXKlTbjTF/5vnz5sk17+hzMmTNHPXr0kCTFxMSoYsWK2rdvn8qVK6cuXbooX758+vzzz43rNm3apODgYF27dk158+bVyJEj9e233+rAgQOKiYlRnTp1dPHiRX3wwQfavXu3vvrqKy1cuFC9evXSpUuXlC9fvgxz+c0336hv3766cOGCJKlKlSpq3bq1xo4dm+Hc9JXq8PBwtW/fXpJ08eJFFStWTPPnz7f5Judm48aN0/jx4zO0L168WM7OzpleI93YfvSohc7HnZubm7p165bTwwCAXCs+Pl6dOnXSlStXjExmBivV98DBwUH+/v5aunSpgoKCVLVqVW3evFmFChXKsAK9ePFilSxZUlWrVpUkBQYGqmTJkgoPD1evXr2M8/z9/Y1ALUk+Pj46d+5clsfUo0cP1alTR5MmTdI333yjrVu3KiUlJcN5n332mebMmaPjx48rISFBSUlJCgwMtDmnYsWKRqBOH8uePXuM1z/++KOuXbumZ599VpLk7e2tZ555RvPmzdOkSZOM85ydnY1A/e+arly5otOnT9ts0XBwcFDNmjV1L9/npf/kIP0+knTu3DmVK1dOO3fu1OHDh40VcunGKmFaWpqOHj2q8uXLq3Hjxpo0aZL++usvRUVFqX79+rK3t1dwcLA+/PBDSTeCcO3atY1AHRkZqUmTJikmJkZxcXFKSUnR9evXde3aNbm4uGjAgAHq27evfvzxRzVp0kStW7e2Gackm/o9PT1VtmxZ7du375Z1jhgxQoMHDzZex8XFydfXVx/vjFOaw62/485jzSeLU1pWpvK+KOzhcl/7T0hIyPQbnYeZt7e3QkJCTPeTnJystWvXqmnTprf8CcfjLrfPQW6vX2IOcnv90r3NQfpPe7MLofoeVKxYUcePH1dycrLS0tLk6uqqlJQUpaSkyNXVVcWLF9fevXsl3dgmsXfvXjk4/N9Up6Wlae7cuTah+t+fABaLRWlpWQ9BlSpVUrly5dSxY0eVL19elSpVyvCYuaVLl+qNN97QtGnTVKdOHbm5uWnq1Knavn27zXl3Gsu8efN08eJFm5XRtLQ07dq1SxMnTjQCeWb93K8fjNx8r/R9teljTktLU+/evTVgwIAM16W/qbRevXpycnJSVFSUIiMjFRwcLEmqWbOmrly5ooMHDyoyMtJ44sjx48cVEhKiPn36aOLEifL09NSmTZvUo0cP48dJr776qpo1a6bVq1frxx9/1OTJkzVt2jS9/vrrt63ldvuC8+TJozx58mRoT0qV0m6znTipzLO3vef9Fjm1y51PukfJycmKiIhQSEhIrv1iIt34N5Cb65eYg9xev8Qc5Pb6pbubg+yeK0L1PYiIiFBycrKefvppTZkyRTVq1FCHDh0UGhqq5s2bGx+kPXv26Ndff1VUVJQ8PT2N6y9fvqyGDRvqjz/+UKVKlbJ0TycnJ6Wmpt72nO7du6tfv3769NNPMz2+ceNG1a1bV/369TPajhw5kqX7p/v777/13//+V+Hh4apYsaLRnpaWpgYNGuj777/X888/f8d+8ufPLx8fH23bts1Y3U9JSdHOnTtVvXr1uxrTnVSvXl179+41tqZkJl++fKpVq5aioqK0YcMGDR06VNKN1fO6detq4cKFOnbsmLGf+tdff1VKSoqmTZsmO7sbD9FZunRphn59fX3Vp08f9enTRyNGjNDs2bNtQvW2bduMYH/p0iUdPHhQ5cqVy7baAQDAg0GovgfFixfXmTNndPbsWbVs2VJ2dnaKiYlRq1atVKRIEeO8uXPn6sknn8ywJUS68WP/uXPnasaMGVm6p7+/v7Zv365jx47J1dXVJqSn69mzp9q2bSsPD49M+wgICNDChQu1Zs0alShRQosWLdKOHTtUokSJrBWuG89p9vLyUtu2bY0wme7555/X3LlzsxSqJWngwIF67733VLp0aZUvX17Tp0/PsGc6OwwfPly1a9fWa6+9pp49e8rFxUX79u3T2rVr9dFHHxnnNW7c2Ph43Bzsg4OD9f777xvBW5JKlSqllJQUffTRR2rRooU2b96szz77zOa+gwYN0rPPPqsyZcro0qVLWrduXYbnYU+YMEFeXl4qVKiQRo4cKW9v77v65TcAAODhwHOq71FUVJSCgoKUN29ebd++XUWLFrUJ1ElJSfryyy/VunXrTK9v3bq1vvzySyUlJWXpfm+++abs7e1VoUIFFShQINNfMOPg4CBvb2+brSY369Onj1q1aqX27durVq1a+vvvv21WrbNi3rx5eumllzIE6vSavvvuO509ezZLfQ0ZMkRdunRRaGiosR3lpZdeuqvxZEWVKlW0fv16HTp0SA0aNFC1atU0evRoY+91usaNG+vq1auqV6+ezRwGBwfr6tWrqlu3rrH1IjAwUNOnT9f777+vSpUq6auvvtLkyZNt+ktNTdVrr72m8uXLq3nz5ipbtqzxZJB07733ngYOHKgaNWro9OnTWrVqlZycnLJ9DgAAwP3F0z+AHJD+9I9Lly7d8icLWREXF6f8+fOr5qDPlObw8L5Rbyd7qu+b3F6/xBzk9vol5iC31y/d2xykfw3Nrqd/sFINAAAAmESoBgAAAEzijYpADmjUqNF9e7wgAAB48FipBgAAAEwiVAMAAAAmEaoBAAAAkwjVAAAAgEmEagAAAMAkQjUAAABgEqEaAAAAMIlQDQAAAJhEqAYAAABMIlQDAAAAJhGqAQAAAJMI1QAAAIBJhGoAAADAJEI1AAAAYBKhGgAAADCJUA0AAACYRKgGAAAATCJUAwAAACYRqgEAAACTHHJ6AADM+2FUG3l5eeX0MAAAyLVYqQYAAABMIlQDAAAAJhGqAQAAAJMI1QAAAIBJhGoAAADAJEI1AAAAYBKhGgAAADCJUA0AAACYRKgGAAAATCJUAwAAACYRqgEAAACTCNUAAACASYRqAAAAwCRCNQAAAGCSQ04PAIB5p2Y00TWnlJwexn3hN2ZPTg8BAIA7YqUaAAAAMIlQDQAAAJhEqAYAAABMIlQDAAAAJhGqAQAAAJMI1QAAAIBJhGoAAADAJEI1AAAAYBKhGgAAADCJUA0AAACYRKgGAAAATCJUAwAAACYRqgEAAACTCNUAAACASYRqAAAAwCRCNQAAAGASoRoAAAAwiVANAAAAmESoBgAAAEwiVAMAAAAmEaoBAAAAkwjVAAAAgEmEagAAAMAkQjUAAABgEqEaj5Rx48YpMDDwkbi3xWLRypUr79t4AADAw4NQjfvq/PnzcnR0VHx8vFJSUuTi4qLY2FjjuL+/v2bOnPlAx9ShQwc9++yzNm3ff/+9LBaLRo8ebdM+ceJEFSlSRJL05ptv6ueff74vY+rdu7csFssDnwsAAJA9CNW4r7Zu3arAwEA5Oztr586d8vT0lJ+fX46OqXHjxtq0aZNSUlKMtqioKPn6+ioyMtLm3KioKDVu3FiS5OrqKi8vr2wfz8qVK7V9+3YjvAMAgEePQ04PAI+3LVu2qF69epKkTZs2GX+/ldjYWL3++uv6+eefZWdnp+bNm+ujjz5SoUKFbM5btGiRRo8erUuXLunZZ5/V7Nmz5ebmJklq1KiRqlSporx582rOnDlycnJSnz59NG7cOEk3QvU///yjX3/9VbVr15Z0Izy/9dZbeuONNxQfHy9nZ2clJSVp69at+vDDDyXd2P6xcuVKRUdHG+OYN2+epk2bpsOHD8vT01OtW7fWxx9/nGltEyZM0H/+8x+tWbPG2EZy6tQp9e/fX2vWrNFzzz13V3P7IE3a5aGLifY5cm+HTp1ue9xqtSohIUHh4eGyWCwPaFTZq0CBApo1a1ZODwMAYAKhGtkuNjZWVapUkSTFx8fL3t5e8+fPV0JCgiwWizw8PNSpUyd98sknNtdZrVa9+OKLcnFx0fr165WSkqJ+/fqpffv2ioqKMs47cuSIVq5cqe+++06XLl1Su3bt9N577+ndd981zlmwYIEGDx6s7du3a+vWrQoNDVW9evXUtGlTlSlTRkWKFFFkZKRq166tq1ev6rffftN3332njz/+WJs3b1bTpk21bds2JSQkGCvV//bpp59q8ODBeu+99/Tss8/qypUr2rx5c4bzrFarBg0apJUrV2rTpk0qXbq0JCktLU2dO3fW0KFDVbFixSzNbWJiohITE43XcXFxkqRUO0el2t2/0HsxyUF/J+bQD7bOns3SaVevXr3PA7l/rFarkpOT7+na9Ovu9frHQW6fg9xev8Qc5Pb6pXubg+yeL0I1sl2RIkUUHR2tuLg41axZU9u2bZOrq6sCAwO1evVq+fn5ydXVNcN1P/30k3bv3q2jR4/K19dX0o0V6YoVK2rHjh0KCgqSdCOMzp8/31iZ7ty5s37++WebUF2lShWNHTtWklS6dGl9/PHH+vnnn9W0aVNJN1azo6KiNGLECG3cuFFlypRRgQIFFBwcrKioKDVt2tTYElKqVKlM63znnXc0ZMgQDRw40GhLH2O6lJQUdenSRb/++qs2b96sYsWKGcfef/99OTg4aMCAAVme28mTJ2v8+PEZ2veXf0POzs5Z7uduJf0aJl1/dEPrwy4hIUERERGm+li7dm02jebRldvnILfXLzEHub1+6e7mID4+PlvvTahGtnNwcJC/v7+WLl2qoKAgVa1aVZs3b1ahQoXUsGHDW163b98++fr6GoFakipUqCAPDw/t27fPCKz+/v5GoJYkHx8fnTt3zqav9JXyW53TuHFjDRo0SMnJyYqKilKjRo0kScHBwfroo48k3dgS8tRTT2U61nPnzumvv/7S008/fdu5eOONN5QnTx5t27ZN3t7eRvvOnTs1a9Ys/fbbb3e1ZWHEiBEaPHiw8TouLk6+vr4qt2+GPJzSstzP3Spk5yKnvDmzUm3vXviO5yQkJChfvnwPYDT3h7e3t0JCQu7p2uTkZK1du1ZNmzaVo6NjNo/s0ZDb5yC31y8xB7m9fune5iD9p73ZhVCNbFexYkUdP35cycnJSktLk6urq1JSUpSSkiJXV1cVL15ce/fuzXCd1WrNNGD+u/3f/1gsFovS0mwD5Z3Oady4sa5du6YdO3YoMjJSQ4cOlXQjVHfp0kUXL17U1q1b1bVr10xrzGqAa9q0qb7++mutWbNGL7/8stG+ceNGnTt3zuZNm6mpqRoyZIhmzpypY8eOZdpfnjx5lCdPngzt9mnJsk9LyeSK7DEyMPHOJ90nfmMib3s8OTlZERERCgkJybVfTKQbn/O5uX6JOcjt9UvMQW6vX7q7OcjuueLpH8h2ERERio6OVuHChfXll18qOjpalSpV0syZMxUdHX3LH3NXqFBBsbGxOnHihNEWExOjK1euqHz58tk6xlKlSsnX11erVq1SdHS0goODJd1Y0fb399e0adN0/fr1W+6ndnNzk7+//x0fsffCCy9o8eLFevXVVxUeHm60d+7cWbt371Z0dLTxp0iRIho6dKjWrFmTfYUCAIAHgpVqZLvixYvrzJkzOnv2rFq2bCk7OzvFxMSoVatWt31sXJMmTVSlShW9/PLLmjlzpvFGxeDgYNWsWTPbx9m4cWN98sknCggIsHm6SPoWkJIlS9728X/jxo1Tnz59VLBgQT377LO6evWqNm/erNdff93mvJdeekmLFi1S586d5eDgoDZt2sjLyyvD4/kcHR1VuHBhlS1bNnsLBQAA9x0r1bgvoqKiFBQUpLx582r79u0qWrRopoE6LS1NDg43vrdL/w2ETzzxhBo2bKgmTZqoZMmSWrJkyX0ZY+PGjXX16lVjP3W64OBgXb169Zar1Om6du2qmTNn6pNPPlHFihX1/PPP69ChQ5me26ZNGy1YsECdO3fW8uXLs6sEAADwkLBYrVZrTg8CuVNqaqrc3d21YMECtWnTJqeH80iKi4tT/vz59fvIQHk43b891TnJb8ye2x7P7Xuqc3v9EnOQ2+uXmIPcXr90b3OQ/jX0ypUrcnd3Nz0Gtn8gR5w8eVILFy5Uamqq6tevn9PDAQAAMIVQjRwRGBgoLy8vLVq0SIUL3/mRaQAAAA8zQjVyxIULF3J6CAAAANmGNyoCAAAAJhGqAQAAAJMI1QAAAIBJhGoAAADAJEI1AAAAYBKhGgAAADCJUA0AAACYRKgGAAAATCJUAwAAACYRqgEAAACTCNUAAACASYRqAAAAwCRCNQAAAGASoRoAAAAwiVANAAAAmESoBgAAAEwiVAMAAAAmEaoBAAAAkwjVAAAAgEkOOT0AAOYVfeMneXl55fQwAADItVipBgAAAEwiVAMAAAAmEaoBAAAAkwjVAAAAgEmEagAAAMAkQjUAAABgEqEaAAAAMIlQDQAAAJhEqAYAAABMIlQDAAAAJhGqAQAAAJMI1QAAAIBJhGoAAADAJEI1AAAAYJJDTg8AgHkvzntRaXnTcnoYOcLJ4qRBvoP0zOfPKMmalC19bn59c7b0AwDIPVipBgAAAEwiVAMAAAAmEaoBAAAAkwjVAAAAgEmEagAAAMAkQjUAAABgEqEaAAAAMIlQDQAAAJhEqAYAAABMIlQDAAAAJhGqAQAAAJMI1QAAAIBJhGoAAADAJEI1AAAAYBKhGgAAADCJUA0AAACYRKgGAAAATCJUAwAAACYRqgEAAACTCNUAAACASYRqAAAAwCRCNQAAAGASoRoAAAAwiVAN3EeNGjXSoEGDcnoYAADgPiNU45Fx/vx5OTo6Kj4+XikpKXJxcVFsbKzNObt27VLbtm1VqFAh5c2bV2XKlFHPnj118ODBHBq1rX+H7Du9BgAAjwZCNR4ZW7duVWBgoJydnbVz5055enrKz8/POP7dd9+pdu3aSkxM1FdffaV9+/Zp0aJFyp8/v0aPHp1pn1arVSkpKQ+qBAAA8JhyyOkBAFm1ZcsW1atXT5K0adMm4++SFB8fr27duikkJEQrVqww2kuUKKFatWrp8uXLkqSoqCg1btxYP/zwg0aOHKndu3drzZo1atSokaZOnarPPvtMp0+fVpkyZTR69Gi1adPG6CsmJkZvvvmmNmzYIBcXFz3zzDOaMWOGvL29JUnXrl1T3759tXz5crm5uenNN998ALPy8HPa4CRLguX+3cAihdmHyZJqUR5rnmzpstPWTtnSz4NgtVqVkJCg8PBwWSzZO88FChTQrFmzsrVPAHhcEarxUIuNjVWVKlUk3QjO9vb2mj9/vhISEmSxWOTh4aFOnTqpadOmunDhgoYNG5ZpPx4eHjavhw0bpg8++EAlS5aUh4eHRo0apeXLl+vTTz9V6dKltWHDBr3yyisqUKCAgoODdfr0aQUHB6tnz56aPn26EhISNHz4cLVr107r1q2TJA0dOlSRkZFasWKFChcurLfffls7d+5UYGBgts1HYmKiEhMTjddxcXGSJCeLk9Isadl2n+xkuW65v6Fa0lVdlUXZd4+zCWezra8H5erVq9nep9VqVXJycrb3m93Sx/gojPV+yO31S8xBbq9furc5yO75IlTjoVakSBFFR0crLi5ONWvW1LZt2+Tq6qrAwECtXr1afn5+cnV11bx58yRJ5cqVy1K/EyZMUNOmTSXdWGGePn261q1bpzp16kiSSpYsqU2bNunzzz9XcHCwPv30U1WvXl2TJk0y+pg3b558fX118OBBFSlSRHPnztXChQuNfhcsWKBixYpl53Ro8uTJGj9+fIb2V4u+Kmdn52y9V3YJsw/TVWV/4MP9l5CQoIiIiJweRpatXbs2p4eQo3J7/RJzkNvrl+5uDuLj47P13oRqPNQcHBzk7++vpUuXKigoSFWrVtXmzZtVqFAhNWzY0DjParXeVb81a9Y0/h4TE6Pr168bYThdUlKSqlWrJknauXOnIiMj5erqmqGvI0eOKCEhQUlJSUYolyRPT0+VLVv2rsZ1JyNGjNDgwYON13FxcfL19dWcU3OUlvchXal2tEj3Me9bZJGbvZuupl6VVXf3eXArhVwLZUs/D0pCQoLy5cuX7f16e3srJCQk2/vNbsnJyVq7dq2aNm0qR0fHnB7OA5fb65eYg9xev3Rvc5D+097sQqjGQ61ixYo6fvy4kpOTlZaWJldXV6WkpCglJUWurq4qXry49u7dqzJlykiS9u/fbxNsb8XFxcX4e1rajTC6evVqFS1a1Oa8PHnyGOe0aNFC77//foa+fHx8dOjQoXuu8W7kyZPHGNPNkqxJSrM+nKFaDe98ihlOFid18+2mmSdmKsmalC19fv3619nSz4OQnJysiIgIhYSE5NovpukcHR1z9Rzk9vol5iC31y/d3Rxk91wRqvFQi4iIUHJysp5++mlNmTJFNWrUUIcOHRQaGqrmzZsb/yCeeeYZeXt7a8qUKTZvVEx3+fLlDPuq01WoUEF58uRRbGysgoODMz2nevXqWrZsmfz9/eXgkPGfTUBAgBwdHbVt2zbjiSSXLl3SwYMHb9knAAB4fBCq8VArXry4zpw5o7Nnz6ply5ays7NTTEyMWrVqpSJFihjnubi4aM6cOWrbtq1eeOEFDRgwQAEBAbpw4YKWLl2q2NhYhYeHZ3qP9Cd1vPHGG0pLS1P9+vUVFxenLVu2yNXVVV27dtVrr72m2bNnq2PHjho6dKi8vb11+PBhhYeHa/bs2XJ1dVWPHj00dOhQeXl5qVChQho5cqTs7HhqJQAAuQGhGg+9qKgoBQUFKW/evNq4caOKFi1qE6jTtWzZUlu2bNHkyZPVqVMnY7/xU089pXfeeee295g4caIKFiyoyZMn688//5SHh4eqV6+ut99+W9KNN0xu3rxZw4cPV7NmzZSYmKjixYurefPmRnCeOnWq/vnnH73wwgtyc3PTkCFDdOXKleyfEAAA8NAhVOOh16FDB3Xo0EGS1KBBg9vuX65Zs6aWLVt2y+ONGjXK9E2NFotFAwYM0IABA255benSpbV8+fJbHnd1ddWiRYu0aNEio23o0KE250RFRd3VawAA8GjgZ9MAAACASYRqAAAAwCRCNQAAAGASoRoAAAAwiVANAAAAmESoBgAAAEwiVAMAAAAmEaoBAAAAkwjVAAAAgEmEagAAAMAkQjUAAABgEqEaAAAAMIlQDQAAAJhEqAYAAABMIlQDAAAAJhGqAQAAAJMI1QAAAIBJhGoAAADAJEI1AAAAYBKhGgAAADCJUA0AAACYRKgGAAAATCJUAwAAACY55PQAAJi3svtKeXl55fQwckRycrIiIiL0Y+8f5ejomNPDAQDkUqxUAwAAACYRqgEAAACTCNUAAACASYRqAAAAwCRCNQAAAGASoRoAAAAwiVANAAAAmESoBgAAAEwiVAMAAAAmEaoBAAAAkwjVAAAAgEmEagAAAMAkQjUAAABgkkNODwCAedtat5FrWlq29hm8YX229gcAwOOMlWoAAADAJEI1AAAAYBKhGgAAADCJUA0AAACYRKgGAAAATCJUAwAAACYRqgEAAACTCNUAAACASYRqAAAAwCRCNQAAAGASoRoAAAAwiVANAAAAmESoBgAAAEwiVAMAAAAmEaoBAAAAkwjVAAAAgEmEagAAAMAkQjUAAABgEqEaAAAAMIlQDQAAAJhEqAYAAABMIlQDAAAAJhGqAQAAAJMI1QAAAIBJhGoAAADAJEI1csT58+fl6Oio+Ph4paSkyMXFRbGxscbxXbt26fnnn1fBggWVN29e+fv7q3379rpw4UIOjvreTJs2Tfnz51d8fHyGY9evX5eHh4emT58uSfL399fMmTMf8AgBAIBZhGrkiK1btyowMFDOzs7auXOnPD095efnJ0k6d+6cmjRpIm9vb61Zs0b79u3TvHnz5OPjk2kwzYqkpKTsHP5d6dKlixISErRs2bIMx5YtW6b4+Hh17tw5B0YGAACyC6EaOWLLli2qV6+eJGnTpk3G39OPxcXFac6cOapWrZpKlCihp556SjNnzjSCtyTt3btXzz33nNzd3eXm5qYGDRroyJEjkqTQ0FC9+OKLmjx5sooUKaIyZcpIkk6dOqX27dvriSeekJeXl1q2bKljx44Zfe7YsUNNmzaVt7e38ufPr+DgYP322282Y7dYLPr888/1/PPPy9nZWeXLl9fWrVt1+PBhNWrUSC4uLqpTp44xlgIFCqhFixaaN29ehnmYN2+eXnjhBRUoUCB7JvYehNnba5ZDxj+dOnWy+TNw4MAcGyMAAA87h5weAHKP2NhYValSRZIUHx8ve3t7zZ8/XwkJCbJYLPLw8FCnTp3UpUsXpaSkaMWKFWrTpo0sFkuGvk6dOqWGDRuqUaNGWrdundzd3bV582alpKQY5/z8889yd3fX2rVrZbVaFR8fr8aNG6tBgwbasGGDHBwc9M4776h58+bavXu3nJycdPXqVXXt2lUffvihpBtbN0JCQnTo0CG5ubkZfU+cOFHTp0/X9OnTNXz4cHXq1EklS5bUiBEj5Ofnp+7du6t///76/vvvJUk9evTQ888/r6NHj6pEiRKSpGPHjikyMlKrV6/O8hwmJiYqMTHReB0XFydJsjo6yGrNcjc24qxpupJJ+5WzZ21eW61WJScn39tN7qP0MT2MY3sQcnv9EnOQ2+uXmIPcXr90b3OQ3fNlsVrv9UsxcHdSUlJ08uRJxcXFqWbNmtqxY4dcXV0VGBio1atXy8/PT66urvL29tbIkSM1ZcoUubu768knn9RTTz2lLl26qFChQpKkt99+W+Hh4Tpw4IAcHR0z3Cs0NFQ//PCDYmNj5eTkJOnGqvCUKVO0b98+I6gnJSXJw8NDK1eu1DPPPJOhn9TUVD3xxBNavHixnn/+eUk3VqpHjRqliRMnSpK2bdumOnXqaO7cuerevbskKTw8XN26dVNCQoLRT/HixdWjRw+NHz9ekjR27FjNnTtXx48fl729vaQbe6oHDRqkQYMGZTqH48aNM66/2eLFi+Xs7Jy1D8S/hIWF6erVq3c8z83NTd26dbunewAA8LCJj49Xp06ddOXKFbm7u5vuj5VqPDAODg7y9/fX0qVLFRQUpKpVq2rz5s0qVKiQGjZsaHPuu+++q8GDB2vdunXatm2bPvvsM02aNEkbNmxQ5cqVFR0drQYNGmQaqNNVrlzZCNSStHPnTh0+fNhmxVm68WbB9K0a586d05gxY7Ru3TqdPXtWqampio+Pt3kTpSRjxV2SEfQrV65s03b9+nXFxcXJ3d1d9vb26tq1q+bPn6+xY8fKYrFowYIFCg0NNQJ1VowYMUKDBw82XsfFxcnX11du8+bJ9R6/PfawpmW6DyxPwYI2r729vRUSEnJvN7mPkpOTtXbtWjVt2vS2nw+Pq9xev8Qc5Pb6JeYgt9cv3dscpP+0N7sQqvHAVKxYUcePH1dycrLS0tLk6uqqlJQUpaSkyNXVVcWLF9fevXuN8728vNS2bVu1bdtWkydPVrVq1fTBBx9owYIFypcv3x3v5+LiYvM6LS1NNWrU0FdffZXh3PQ9zaGhoTp//rxmzpyp4sWLK0+ePKpTp06GNzre/A82fdU7s7a0tDSjrXv37po8ebLWrVsn6cZ2mLtd+c2TJ4/y5MmTod2SnCLLTfe6G7caQfDXX99TfznF0dEx134xkahfYg5ye/0Sc5Db65fubg6ye64I1XhgIiIilJycrKefflpTpkxRjRo11KFDB4WGhqp58+a3/eR2cnJSqVKldO3aNUk3VooXLFig5OTkLP+jqF69upYsWaKCBQve8sc8Gzdu1CeffGKsyJ44cSLbHuNXqlQpBQcHKywsTFarVY0aNVKpUqWypW8AAJCzePoHHpjixYvL1dVVZ8+eVcuWLeXn56eYmBi1atVKAQEBKl68uCTpu+++0yuvvKLvvvtOBw8e1IEDB/TBBx8oIiJCLVu2lCT1799fcXFx6tChg3799VcdOnRIixYt0oEDB255/5dfflne3t5q2bKlNm7cqKNHj2r9+vUaOHCgTp48KUkKCAjQokWLtG/fPm3fvl0vv/xyllbFs6pHjx5avny5VqxYoR49emRbvwAAIGcRqvFARUVFKSgoSHnz5tX27dtVtGhRFSlSxOacChUqyNnZWUOGDFFgYKBq166tpUuXas6cOcbznL28vLRu3Tr9888/Cg4OVo0aNTR79uzbrlo7Oztrw4YN8vPzU6tWrVS+fHl1795dCQkJxsr1vHnzdOnSJVWrVk2dO3fWgAEDVPBfe4vNaN26tbGFo1WrVtnWLwAAyFls/8AD1aFDB3Xo0EGS1KBBAx06dCjDOSVLltQXX3xxx76qVKmiNWvWZHps/vz5mbYXLlxYCxYsuGWf1apV044dO2za2rRpY/P63w/M8ff3z9DWqFGjDG2SlC9fPl2+fPmW97/5mdkAAODRwUo1AAAAYBKhGgAAADCJUA0AAACYRKgGAAAATCJUAwAAACYRqgEAAACTCNUAAACASYRqAAAAwCRCNQAAAGASoRoAAAAwiVANAAAAmESofgDmz58vi8Wi+fPn5/RQAAAAcB/cdag+duyYLBaLmjdvnunxKVOmyGKxqGTJkjpy5IjpAQIAAAAPu2xdqR4xYoSGDx+uihUratOmTSpVqlR2dg8AAAA8lByyo5O0tDT169dPn3/+uWrVqqWIiAh5enpmR9cAAADAQ8/0SnVycrI6deqkzz//XE2aNNFPP/1kE6iTkpI0ffp0Va9eXS4uLnJzc1ODBg20atUqm366du0qi8WiHTt2ZHqfYcOGyWKxaMWKFUpLS5Onp6cCAwNtzjl//rzs7OxksVi0adMmm2Pt27eXxWLR2bNnbdoXLFig2rVry9XVVa6urqpdu7YWLFiQ4f5RUVGyWCwaN26ctm7dqmbNmsnDw0MWi8U45+LFi+rTp48KFSokZ2dnBQUFacWKFVmaRwAAADy6TIXq+Ph4tWzZUkuWLFGrVq20evVqubq6GscTExPVrFkzDRkyRJLUo0cPvfLKKzp+/Lhatmypjz/+2Di3d+/ekqTZs2dnuE9ycrIWLlyowoULq0WLFrKzs1NwcLB2796tv//+2zgvKipKVqtVkhQZGWnTx/r161W+fHkVKlTIaHvjjTcUGhqqkydPqkePHnr11Vd16tQphYaGavDgwZnWvGXLFgUHB0uSevXqpfbt2xtz0ahRI33++ecqVaqUBg4cqLJly6p9+/b69ttvsz6pAAAAeOTc8/aPK1eu6JlnntHmzZvVvXt3ffHFF7K3t7c5Z8KECYqKitK4ceM0ZswYY1X36tWreuqppzRkyBC1atVKRYoUUd26dVWpUiWFh4drxowZcnFxMfr57rvvdPbsWQ0fPlwODjeG3LhxY61cuVLr169Xq1atJN0I0h4eHipZsqQiIyM1evRoSVJMTIzOnj2r1q1bG31u3LhRM2fOVPny5bV161blz59fkjR+/HjVrl1bM2bMUKtWrVS/fn2bmtauXau5c+eqe/fuNu1TpkzRnj171LNnT33xxRdGe5cuXdSsWbN7nWYAAAA8Au55pXrbtm3avHmz6tSpo7lz52YI1Glpafr0008VEBBgE6glyc3NTWPGjFFSUpKWL19utPfq1UtXr17VkiVLbPqaM2eOLBaLXn31VaOtUaNGkqR169YZbZGRkQoODlaTJk20detWXb9+3Wi/+RpJxuPtxo0bZwRqScqfP7/Gjh1rc87NqlWrliFQS9LChQvl5OSkCRMm2LQ/88wzevrppzOcDwAAgMfHPYfqChUqqEiRItq6dWuGIClJBw4c0KVLl5QnTx6NHz9e48aNs/nzww8/SJL2799vXNO5c2fly5dPc+bMMdpOnTqlNWvWKDg4WAEBAUZ75cqV5e3tbQTmM2fOaP/+/WrcuLEaN26s69eva+vWrZJuhGqLxWITqnft2iXJNminS2+Ljo7OcOzJJ5/M0Hb16lUdPXpUAQEBKly4cIbjDRo0yNAGAACAx8c9b//w9fXVf//7XzVu3Fhjx45VWlqaxo0bZxy/ePGiJGnv3r3au3fvLfu5du2a8XcPDw+1a9dOCxYsUExMjCpUqKCwsDClpqaqZ8+eNtdZLBYFBwdr2bJlOnv2rBGuGzdurJIlS8rBwUGRkZFq1KiR1q9fr4oVK6pAgQLG9XFxcbKzs7NpS1eoUCHZ2dnpypUrmR77t/TzChYsmGmNmV0DAACAx4epNyoGBAQoKipKvr6+Gj9+vLFtQpLc3d0lSa1bt5bVar3ln7CwMJs+09+wOGfOHOO4p6ensW/6Zo0bN5Z04w2KUVFR8vb2VuXKleXq6qqgoCBFRkbqjz/+0IULF4xzbx5fWlqazp8/n6Hfc+fOKS0tzajhZjdvY/l3refOnct0nv79xBEAAAA8Xkw/p7pUqVJav369GjdurAkTJigtLU0TJ05U+fLl5e7url9//VXJyclydHTMUn916tRR5cqVtWjRIjVp0kR//vmnBgwYoLx582Y49+Z91emr0umh96mnntKUKVP03Xff2Zybrlq1atq1a5eioqLUrl07m2Pr16+XpAyP7LsVd3d3lShRQocPH9aZM2cybAHZuHFjlvoB7lXtZd/Ky8srp4cBAECulS2/UbFEiRKKioqSv7+/3nnnHY0cOVIODg7q27evjh8/rjfffFPJyckZrvvjjz8yXd3t1auXLly4YGz5uPkNijerWLGiChYsqBUrVujQoUM2q9GNGzdWcnKyZsyYYWwVuVnXrl0l3XjaR1xcnNEeFxen8ePH25yTFZ07d1ZSUpLGjBlj0/7jjz/q559/znI/AAAAePRky29UlCR/f39jxXrSpElKS0vT+PHj9dtvv+nDDz/U6tWrFRwcrAIFCujUqVPas2ePfv/9d23dujXDXuTOnTtr+PDh+uuvv1SrVi1Vrlz5lvdt1KiRli5dKkk2obpu3brKkyePzp8/r6pVq2ZYxWvYsKFef/11ffTRR6pUqZKxTWX58uU6ceKEBgwYoIYNG2a5/mHDhmn58uWaPXu29u7dq4YNG+rEiRNaunSpnnvuOa1evTrLfQEAAODRki0r1en8/PwUFRWlUqVK6b333tOYMWP0/fff6/PPP1fhwoX17bffaubMmdqwYYN8fHz06aefZhqY8+fPr5YtW0pShjco/lt6kC5UqJDKly9vtOfLl0+1atWSlPkTPiTpww8/1Lx581S4cGF98cUXmj17tgoXLqx58+Zp1qxZd1W7i4uL1q9fr169eunQoUOaOXOm9u/fryVLlqhNmzZ31RcAAAAeLXe9Uu3v72/81sLM+Pr66vDhwzZtvXr1Uq9eve7qPr///rtcXV2N31h4K3369FGfPn0yPZa+N/p2unXrpm7dut3xvEaNGt22bkny9PTU559/rs8//zzDsdDQ0DveAwAAAI+mbF2pzi4RERGKiYlR586dbX7tOQAAAPAwyrY91dnh008/1YkTJzR79mzly5dPw4YNy+khAQAAAHf0UIXq999/XydPnlTZsmX1/vvvy9/fP6eHBAAAANzRQxWqjx07ltNDAAAAAO7aQ7mnGgAAAHiUEKoBAAAAkwjVAAAAgEmEagAAAMAkQjUAAABgEqEaAAAAMOmheqQegHsTNmGt8jq45PQwcoTF3qpi9aQvRn4va6olp4fzwD2O9fef1iKnhwAAd42VagAAAMAkQjUAAABgEqEaAAAAMIlQDQAAAJhEqAYAAABMIlQDAAAAJhGqAQAAAJMI1QAAAIBJhGoAAADAJEI1AAAAYBKhGgAAADCJUA0AAACYRKgGAAAATCJUAwAAACYRqgEAAACTCNUAAACASYRqAAAAwCRCNQAAAGASoRoAAAAwiVANAAAAmESoBgAAAEwiVAMAAAAmEaoBAAAAkwjVAAAAgEmEajz0GjVqpEGDBuX0MAAAAG6JUP0v58+fl6Ojo+Lj45WSkiIXFxfFxsYax/39/WWxWGSxWJQvXz75+/urXbt2WrduXQ6O+uExadIk2dvb67333rtv92jUqJHxMciTJ4+KFi2qFi1aaPny5fftngAAALfjkNMDeNhs3bpVgYGBcnZ21vbt2+Xp6Sk/Pz+bcyZMmKCePXsqKSlJx44d05dffqkmTZpo4sSJGjlyZA6N/OEQFhamYcOGad68eXrrrbfu23169uypCRMmKDk5WadOndKKFSvUoUMHhYaG6osvvrjldcnJyXJ0dLxv4wIeFusPLdX1pKs5PYx7sqXT13d1vtVqVUJCgsLDw2WxWO7TqHJegQIFNGvWrJweBoBbIFT/y5YtW1SvXj1J0qZNm4y/38zNzU2FCxeWJPn5+alhw4by8fHRmDFj1KZNG5UtW1bz58/XoEGDdPnyZeO6lStX6qWXXpLVapUkjRs3TitXrtSQIUM0evRoXbp0Sc8++6xmz54tNzc3SdLVq1fVp08frVy5Uu7u7ho2bJj++9//KjAwUDNnzpQkJSUladSoUfrqq690+fJlVapUSe+//74aNWpk3HvZsmUaM2aMDh8+LB8fH73++usaMmSIcdzf31+9evXS4cOH9c033+iJJ57QqFGj1KtXL+MegwcP1rJly3Tp0iUVLlxYvXv31ogRI4w+1q9fr4SEBE2YMEELFy7Uhg0b1LBhQ+N4Vuq9du2a+vbtq+XLl8vNzU1vvvlmph8nZ2dn42Pg6+ur2rVrq1y5curevbvatWunJk2a6NixYypRooSWLFmiTz75RNu2bdOnn36qF154Qf3799fGjRt18eJFlSpVSm+//bY6duxo9J+Veb906ZIGDhyo//3vf0pMTFRwcLA+/PBDlS5dWpKMz4ElS5Zo0KBBOnHihOrXr6+wsDD5+PhIkqKiojRs2DDt3btXjo6OqlixohYvXqzixYtnWndiYqISExON13FxcZIki71VFntrptc87tLrpn7b+q8nX1V88qMZquPP3tu4r159NOvNKqvVquTk5Azt6W2ZHcstcvsc5Pb6pXubg+yeL0K1pNjYWFWpUkWSFB8fL3t7e82fP18JCQmyWCzy8PBQp06d9Mknn9yyj4EDB2rixIn673//q2HDhmX53keOHNHKlSv13Xff6dKlS2rXrp3ee+89vfvuu5KkwYMHa/PmzVq1apUKFSqkMWPG6LffflNgYKDRR7du3XTs2DGFh4erSJEiWrFihZo3b649e/aodOnS2rlzp9q1a6dx48apffv22rJli/r16ycvLy+FhoYa/UybNk0TJ07U22+/rW+//VZ9+/ZVw4YNVa5cOX344YdatWqVli5dKj8/P504cUInTpywqWXu3Lnq2LGjHB0d1bFjR82dO9cmVGel3qFDhyoyMlIrVqxQ4cKF9fbbb2vnzp029d5K165dNWTIEC1fvlxNmjQx2ocPH65p06YpLCxMefLk0fXr11WjRg0NHz5c7u7uWr16tTp37qySJUuqVq1aWZ730NBQHTp0SKtWrZK7u7uGDx+ukJAQxcTEGKvh8fHx+uCDD7Ro0SLZ2dnplVde0ZtvvqmvvvpKKSkpevHFF9WzZ099/fXXSkpK0i+//HLblbbJkydr/PjxGdqLBEnOzrkzVKYrWluScu8c/Lt++4OSknJqNLgfEhISFBERccvja9eufYCjeTjl9jnI7fVLdzcH8fHx2XpvQrWkIkWKKDo6WnFxcapZs6a2bdsmV1dXBQYGavXq1fLz85Orq+tt+/D09FTBggV17Nixu7p3Wlqa5s+fb6zUdu7cWT///LPeffddXb16VQsWLNDixYv19NNPS7qxvaJIkSLG9UeOHNHXX3+tkydPGu1vvvmmfvjhB4WFhWnSpEmaPn26nn76aY0ePVqSVKZMGcXExGjq1Kk2oTokJET9+vWTdCOIzpgxQ1FRUSpXrpxiY2NVunRp1a9fXxaLJcNKalxcnJYtW6YtW7ZIkl555RXVq1dPH330kdzd3bNU7z///KO5c+dq4cKFatq0qSRpwYIFKlasWJbm0s7OTmXKlMnwMRg0aJBatWpl03bzCvjrr7+uH374Qd98841q1aqVpXlPD9ObN29W3bp1JUlfffWVfH19tXLlSrVt21bSje+CP/vsM5UqVUqS1L9/f02YMMGYsytXruj55583jpcvX/62NY4YMUKDBw82XsfFxcnX11d/7ZDyOjy+P/a+HYu9VUVrS6e2SdbU3DcHt6rfKc1Vzk45ODATXD3y3fU1CQkJypfv7q97lHh7eyskJCRDe3JystauXaumTZvm2u1tuX0Ocnv90r3NQfpPe7MLoVqSg4OD/P39tXTpUgUFBalq1aravHmzChUqlGGl9XasVutd7+fz9/c3AqYk+fj46Ny5c5KkP//8U8nJyXryySeN4/nz51fZsmWN17/99pusVqvKlClj029iYqK8vLwkSfv27VPLli1tjterV08zZ85Uamqq7O3tJclYrZcki8WiwoULG2MJDQ1V06ZNVbZsWTVv3lzPP/+8nnnmGeP8xYsXq2TJkqpataokKTAwUCVLllR4eLixheRO9R45ckRJSUmqU6eOcdzT09Om3jvJ7GNQs2ZNm9epqal67733tGTJEp06dcrYUuHi4iIpa/O+b98+OTg4GCvbkuTl5aWyZctq3759Rpuzs7MRmP9dr6enp0JDQ9WsWTM1bdpUTZo0Ubt27YytIZnJkyeP8uTJk7HuVIusj/Fe0juz3piDXBiqb8hYf8PS7XNwPOb0n9birs5PTk5WRESEQkJCcm2gkCRHR8dcXb/EHOT2+qW7m4PsnitCtaSKFSvq+PHjSk5OVlpamlxdXZWSkqKUlBS5urqqePHi2rt37237+Pvvv3X+/HmVKFFC0o1V0/S90+ky27vz7w+oxWJRWlqaJBnX/zsk3txvWlqa7O3ttXPnTiMcp0tfXc8saP57bHcaS/Xq1XX06FF9//33+umnn4x9y99++60kad68edq7d68cHP7vUyotLU1z5861CdVZqfdepaam6tChQwoKCrJpTw/L6aZNm6YZM2Zo5syZqly5slxcXDRo0CAlJSXZjON2c3arsf57rjOr9+Zrw8LCNGDAAP3www9asmSJRo0apbVr16p27dpZLRsAADwEeKSepIiICEVHR6tw4cL68ssvFR0drUqVKmnmzJmKjo6+7R62dLNmzZKdnZ1efPFFSTfepX316lVdu3bNOCc6OvquxlWqVCk5Ojrql19+Mdri4uJ06NAh43W1atWUmpqqc+fOKSAgwOZP+hv5KlSooE2bNtn0vWXLFpUpUyZDEL8dd3d3tW/fXrNnz9aSJUu0bNkyXbx4UXv27NGvv/6qqKgoRUdHG382bNigHTt26I8//shS/wEBAXJ0dNS2bduMtkuXLungwYNZun7BggW6dOmSWrdufdvzNm7cqJYtW+qVV15R1apVVbJkSZs5zcq8V6hQQSkpKdq+fbvR9vfff+vgwYN33MLxb9WqVdOIESO0ZcsWVapUSYsXL76r6wEAQM5jpVpS8eLFdebMGZ09e1YtW7aUnZ2dYmJi1KpVK5t9tOmuXr2qM2fOKDk5WUePHtWXX36pOXPmaPLkyQoICJAk1apVS87Oznr77bf1+uuv65dfftH8+fPvalxubm7q2rWrhg4dauzZHjt2rOzs7IzV0DJlyujll19Wly5dNG3aNFWrVk0XLlzQunXrVLlyZYWEhGjIkCEKCgrSxIkT1b59e23dulUff/zxbd94+W8zZsyQj4+PAgMDZWdnp2+++UaFCxeWh4eHJkyYoCeffDLTrTJ16tTR3LlzNWPGjDvew9XVVT169NDQoUPl5eWlQoUKaeTIkbKzy/i9X3x8vM6cOaOUlBSdOnVKy5cv14wZM9S3b181btz4tvcJCAgw9n8/8cQTmj59us6cOWOE4azMe+nSpdWyZUv17NlTn3/+udzc3PTWW2+paNGiGbba3MrRo0f1xRdf6IUXXlCRIkV04MABHTx4UF26dMnS9QAA4OHBSvX/FxUVpaCgIOXNm1fbt29X0aJFMw3UkjRmzBj5+PgoICBAnTt31pUrV/Tzzz9r+PDhxjmenp768ssvFRERocqVK+vrr7/WuHHj7npc06dPV506dfT888+rSZMmqlevnsqXL6+8efMa54SFhalLly4aMmSIypYtqxdeeEHbt2+Xr6+vpBtbN5YuXarw8HBVqlRJY8aM0YQJE2zepHgnrq6uev/991WzZk0FBQXp2LFjioiIUEpKir788stbrg63bt1aX375pbG14k6mTp2qhg0b6oUXXlCTJk1Uv3591ahRI8N5s2fPlo+Pj0qVKqWXXnpJMTExxqPz7mT06NGqXr26mjVrpkaNGqlw4cLGTxjSZXXea9Sooeeff1516tSR1WpVRERElvdoOTs7a//+/WrdurXKlCmjXr16qX///urdu3eWrgcAAA8Pi9XsRlY8UNeuXVPRokU1bdo09ejRI6eHk2s8rPMeFxen/Pnza+qAr5XXweXOFzyGLPZWFatn1cnNufONio9j/bxR8e7k9vol5iC31y/d2xykfw29cuWKzZPK7hXbPx5yu3bt0v79+/Xkk0/qypUrxuPYsrrFAPeGeQcAAHeDUP0I+OCDD3TgwAE5OTmpRo0a2rhxo7y9vXN6WI895h0AAGQVofohV61aNe3cuTOnh5HrMO8AAOBu8EZFAAAAwCRCNQAAAGASoRoAAAAwiVANAAAAmESoBgAAAEwiVAMAAAAmEaoBAAAAkwjVAAAAgEmEagAAAMAkQjUAAABgEqEaAAAAMIlQDQAAAJhEqAYAAABMIlQDAAAAJhGqAQAAAJMI1QAAAIBJhGoAAADAJEI1AAAAYBKhGgAAADDJIacHAMC8bmOaysvLK6eHkSOSk5MVERGhXu8+K0dHx5wezgOX2+sHgIcFK9UAAACASYRqAAAAwCRCNQAAAGASoRoAAAAwiVANAAAAmESoBgAAAEwiVAMAAAAmEaoBAAAAkwjVAAAAgEmEagAAAMAkQjUAAABgEqEaAAAAMIlQDQAAAJhEqAYAAABMcsjpAQAw78PXe8spl36LbOfgqAovddAHPbsoLSU5p4fzwOX2+iXm4EHWP/LLb+9r/8CjLJd+GQYAAACyD6EaAAAAMIlQDQAAAJhEqAYAAABMIlQDAAAAJhGqAQAAAJMI1QAAAIBJhGoAAADAJEI1AAAAYBKhGgAAADCJUA0AAACYRKgGAAAATCJUAwAAACYRqgEAAACTCNUAAACASYRqAAAAwCRCNQAAAGASoRoAAAAwiVANAAAAmESoBgAAAEwiVAMAAAAmEaoBAAAAkwjVAAAAgEmE6nsQFRUli8Wiy5cv5/RQHltffPGFfH19ZWdnp5kzZ2bpGn9//yyfm1Pmz58vDw+PnB4GAADIZrkyVJ8/f16Ojo6Kj49XSkqKXFxcFBsbaxzftWuXnn/+eRUsWFB58+aVv7+/2rdvrwsXLuTgqLNH+jcE//4zatSo+37v1NRUzZgxQ1WqVFHevHnl4eGhZ599Vps3b7Y5Ly4uTv3799fw4cN16tQpLV68ONMxp//x9/fP1nHGxcVp9OjRqlixovLlyycvLy8FBQVpypQpunTpUrbeCwAAPB4ccnoAOWHr1q0KDAyUs7Oztm/fLk9PT/n5+UmSzp07pyZNmqhFixZas2aNPDw8dPToUa1atUrx8fE5PPLsc+DAAbm7uxuvXV1d76mf1NRUWSwW2dnd/vszq9WqDh066KefftLUqVP19NNPKy4uTv/5z3/UqFEjffPNN3rxxRclSbGxsUpOTtZzzz0nHx8f/fDDD0pKSpIknThxQk8++aR++uknVaxYUZJkb29/T2PPzMWLF1W/fn3FxcVp4sSJqlGjhpycnHT48GEtXrxYixcv1muvvZZt9wMAAI+HXBmqt2zZonr16kmSNm3aZPw9/VhcXJzmzJkjB4cb01OiRAk99dRTGfrZuXOnhg8frpiYGAUGBiosLExly5aVJB05ckSDBw/Wtm3bdO3aNZUvX16TJ09WkyZNJN1YMW7cuHGGPrt27ar58+ff8XrpxnaHV199VQcPHtTy5cvl5eWlDz/8UHXr1tWrr76qn3/+WSVKlFBYWJhq1qxpc5+CBQtm2IaQPqZLly4Zx6Kjo1WtWjUdPXpU/v7+mj9/vgYNGqQvv/xSw4YN08GDB/Xzzz+rSZMmOnHihAoXLmz0N2TIEO3YsUMbNmzQ0qVL9e2332rVqlVq0aKFcc4XX3yhv//+W6+++qqaNm2qb775Rt26dZMklSxZUpKMe0vS9evXJUleXl4290oXHx+v7t2765tvvtETTzyhUaNGqVevXsbxU6dOafDgwfrxxx9lZ2en+vXra9asWUb/b7/9tmJjY3XgwAEVLVrUuK5cuXJ6/vnnZbVajbZLly5p4MCB+t///qfExEQFBwfrww8/VOnSpY1z5s+frzFjxujChQtq1qyZ6tevbzPe33//XYMGDdKvv/4qi8Wi0qVL6/PPP8/w8QLul50X4pSYZr3ziQ+57WFhSo6/ltPDyDEPqv5OnTrd93vcC6vVqoSEBIWHh8tiseT0cB643FJ/gQIFNGvWrJwexi3lmlAdGxurKlWqSLoRvOzt7TV//nwlJCTIYrHIw8NDnTp1UpcuXZSSkqIVK1aoTZs2t/3kHDlypKZNm6YCBQqoT58+6t69u7GV4Z9//lFISIjeeecd5c2bVwsWLFCLFi104MAB+fn5qW7dujp9+rTR1759+xQSEqKGDRtm6fp0M2bM0KRJkzR69GjNmDFDnTt3Vr169dS9e3dNnTpVw4cPV5cuXbR3795s+4cWHx+vyZMna86cOfLy8lKxYsVUsmRJLVq0SEOHDpUkpaSk6Msvv9R7770nSVq8eLHKlCljE6jTDRkyRMuXL9fatWvVvn17+fr6qkmTJvrll1/k6+urAgUKZHls06ZN08SJE/X222/r22+/Vd++fdWwYUOVK1dO8fHxaty4sRo0aKANGzbIwcFB77zzjpo3b67du3fLwcFBS5Ys0SuvvGITqG928xyGhobq0KFDWrVqldzd3TV8+HCFhIQoJiZGjo6O2r59u7p3765JkyapVatW+uGHHzR27Fib/l5++WVVq1ZNn376qezt7RUdHS1HR8db1peYmKjExETjdVxcnCTJzsH+jj8teFzZ/f9vftP/m9uYrT8xzarrqWnZOaQccf3q1ZweQo56UPVfP3v2gdznXl3N5Z8Hj3v9VqtVycnJmR5Lb7/V8dtdk11yzVehIkWKKDo6WnFxcapZs6a2bdsmV1dXBQYGavXq1fLz85Orq6u8vb319ttvq1OnTurTp4+efPJJPfXUU+rSpYsKFSpk0+e7776r4OBgSdJbb72l5557TtevX1fevHlVtWpVVa1a1Tj3nXfe0YoVK7Rq1Sr1799fTk5Oxkrr33//rZ49e6p79+7q3r27JN3x+nQhISHq3bu3JGnMmDH69NNPFRQUpLZt20qShg8frjp16ujs2bM2K7vFihWzqeX48eNZnsvk5GR98sknNuPr0aOHwsLCjFC9evVqxcfHq127dpKkgwcPqnz58pn2l95+8OBBvfjii/Ly8pJ04zvSzFajbyckJET9+vWTdKP2GTNmKCoqSuXKlVN4eLjs7Ow0Z84cIxyHhYXJw8NDUVFRqlq1qi5fvmz8tCFdjRo1dODAAUlSixYt9PXXXxthevPmzapbt64k6auvvpKvr69Wrlyptm3batasWWrWrJneeustSVKZMmW0ZcsW/fDDD0bfsbGxGjp0qMqVKydJNqvcmZk8ebLGjx+fob3Msy/K2dn5rubqcVOuRZucHkKOutf6t4eF5fpACuDRkJCQoIiIiNues3bt2iz3l93benNNqHZwcJC/v7+WLl2qoKAgVa1aVZs3b1ahQoWM1eF07777rgYPHqx169Zp27Zt+uyzzzRp0iRt2LBBlStXNs5LX/mWJB8fH0k39mT7+fnp2rVrGj9+vL777jv99ddfSklJUUJCgs0bIqUbAbV169by8/Oz+ZFGVq+/eQzpof/mMaa3nTt3ziagbty4UW5ubsbrJ554IoszKTk5OdncV7qxajtq1Cht27ZNtWvX1rx589SuXTu5uLhkud/sWEm/eVwWi0WFCxfWuXPnJN3YrnP48GGbuqUbW0qOHDlifJPw73GsWLFCSUlJGj58uBISEiTd+MmCg4ODatWqZZzn5eWlsmXLat++fcY5L730kk1fderUsQnVgwcP1quvvqpFixapSZMmatu2rUqVKnXL+kaMGKHBgwcbr+Pi4uTr66uD36+UUy5eqS7Xoo32/+9bpaWk5PRwHjiz9dslXlde+0f8c8dikWM+ZyUnxEvWR38ry117gPW7e3nf1/7NSEhIUL58+XJ6GDkmN9Tv7e2tkJCQTI8lJydr7dq1atq06W1/4nuz9J/2ZpdcE6orVqyo48ePKzk5WWlpaXJ1dVVKSopSUlLk6uqq4sWLa+/evcb5Xl5eatu2rdq2bavJkyerWrVq+uCDD7RgwQLjnJs/aOlBLC3txo9Rhw4dqjVr1uiDDz5QQECA8uXLpzZt2hhvuEvXt29fxcbGaseOHcYe7ru5PrMx3G5c6UqUKJFhT3X69oGb9w1n9qORfPnyZQieBQsWVIsWLRQWFqaSJUsqIiJCUVFRxvEyZcooJiYmQ1+SjBB6p1XarPj3PySLxWLUnpaWpho1auirr77KcF2BAgXk5uYmDw8P7d+/3+ZY+nYbNzc34zGK1lt84bJarcbc3Oqcm40bN06dOnXS6tWr9f3332vs2LEKDw/PEMbT5cmTR3ny5MnQnpaSqjS71Dve73GWlpKitJTs/VHeo+Re66/hdW9vUn6Y2Dk4qsJLHRSzIjxXfg48yPpHfvn1fe3/XiUnJysiIkIhISFZDlSPk9xe/80cHR2zPAfZPVeP+PJE1kVERCg6OlqFCxfWl19+qejoaFWqVEkzZ85UdHT0bX+c4OTkpFKlSunatay/CWTjxo0KDQ3VSy+9pMqVK6tw4cI6duyYzTnTp0/XkiVLtGrVKmPLw91cn93S9y7fvNc7Ojo6y9e/+uqrCg8P1+eff65SpUrZvAG0Q4cOOnTokP73v/9luG7atGny8vJS06ZN733wWVC9enUdOnRIBQsWVEBAgM2f/Pnzy87OTu3atdOXX36pU6dO3bavChUqKCUlRdu3bzfa/v77b5ttLhUqVNC2bdtsrvv3a+nGNxxvvPGGfvzxR7Vq1UphYWHZUC0AAHiQck2oLl68uFxdXXX27Fm1bNlSfn5+iomJUatWrRQQEKDixYtLkr777ju98sor+u6773Tw4EEdOHBAH3zwgSIiItSyZcss3y8gIEDLly9XdHS0fv/9d3Xq1Mlmtfinn37SsGHD9MEHH8jb21tnzpzRmTNndOXKlSxdfz8EBATI19dX48aN08GDB7V69WpNmzYty9c3a9ZM+fPn1zvvvGM8wSNdhw4d9NJLL6lr166aO3eujh07pt27d6t3795atWqV5syZc1dbRe7Fyy+/LG9vb7Vs2VIbN27U0aNHtX79eg0cOFAnT56UJE2aNElFixZVrVq1NG/ePO3evVtHjhzRihUrtHXrVuPxfaVLl1bLli3Vs2dPbdq0Sb///rvxBsf0z5MBAwbohx9+0JQpU3Tw4EF9/PHHNls/EhIS1L9/f0VFRen48ePavHmzduzYccu95wAA4OGVa0K1dOORcUFBQcqbN6+2b9+uokWLqkiRIjbnVKhQQc7OzhoyZIgCAwNVu3ZtLV26VHPmzFHnzp2zfK8ZM2boiSeeUN26ddWiRQs1a9ZM1atXN45v2rRJqamp6tOnj3x8fIw/AwcOzNL194Ojo6O+/vpr7d+/X1WrVtX777+vd955J8vX29nZKTQ0VKmpqerSpYvNMYvFoqVLl2rkyJGaMWOGypUrpwYNGuj48eOKjIw0nlF9Pzk7O2vDhg3y8/NTq1atVL58eXXv3l0JCQnGM7u9vLz0yy+/qEuXLpo6daqefPJJVa5cWePGjVP79u01e/Zso7+wsDDVqFFDzz//vOrUqSOr1aqIiAjjx0m1a9fWnDlz9NFHHykwMFA//vijzS/Zsbe3199//60uXbqoTJkyateunZ599tlM34gIAAAebhZrVjZ+AlnUs2dPnT17VqtWrcrpoeQKcXFxyp8/v8Z0bC2nXPUt8v9hP23url9iDh7snupv72v/9yq37ynO7fVL9zYH6V9Dr1y5YvML8e5VrnmjIu6vK1euaMeOHfrqq6/03//+N6eHAwAA8EARqpEtWrZsqV9++UW9e/e+7284BAAAeNgQqpEtbn58HgAAQG6TS3dhAgAAANmHUA0AAACYRKgGAAAATCJUAwAAACYRqgEAAACTCNUAAACASYRqAAAAwCRCNQAAAGASoRoAAAAwiVANAAAAmESoBgAAAEwiVAMAAAAmEaoBAAAAkwjVAAAAgEmEagAAAMAkQjUAAABgEqEaAAAAMIlQDQAAAJhEqAYAAABMcsjpAQAwb8BHn8vLyyunh5EjkpOTFRERoTdnL5Sjo2NOD+eBy+31S8xBbq8feFiwUg0AAACYRKgGAAAATCJUAwAAACYRqgEAAACTCNUAAACASYRqAAAAwCRCNQAAAGASoRoAAAAwiVANAAAAmESoBgAAAEwiVAMAAAAmEaoBAAAAkwjVAAAAgEmEagAAAMAkh5weAADzDn24WeecXHN0DOVHPpWj9wcAICexUg0AAACYRKgGAAAATCJUAwAAACYRqgEAAACTCNUAAACASYRqAAAAwCRCNQAAAGASoRoAAAAwiVANAAAAmESoBgAAAEwiVAMAAAAmEaoBAAAAkwjVAAAAgEmEagAAAMAkQjUAAABgEqEaAAAAMIlQDQAAAJhEqAYAAABMIlQDAAAAJhGqAQAAAJMI1QAAAIBJhGoAAADAJEI1AAAAYBKhGgAAADCJUI3Hwrhx4xQYGJjTwwAAALkUoRq3df78eTk6Oio+Pl4pKSlycXFRbGyszTm7du1S27ZtVahQIeXNm1dlypRRz549dfDgwQc2zjfffFM///xztvYZFRUli8Vi/MmXL58qVqyoL774IlvvAwAAHn2EatzW1q1bFRgYKGdnZ+3cuVOenp7y8/Mzjn/33XeqXbu2EhMT9dVXX2nfvn1atGiR8ufPr9GjRz+wcbq6usrLy+u+9H3gwAGdPn1aMTEx6t27t/r27ZvtAf7fkpKS7mv/AAAgeznk9ADwcNuyZYvq1asnSdq0aZPxd0mKj49Xt27dFBISohUrVhjtJUqUUK1atXT58mWjbf369Ro6dKh+//13eXp6qmvXrnrnnXfk4HDjUzAtLU1Tp07V7NmzdeLECRUqVEi9e/fWyJEjJUnDhw/XihUrdPLkSRUuXFgvv/yyxowZI0dHR0k3tn+sXLlS0dHRkqTQ0FBdvnxZ9evX17Rp05SUlKQOHTpo5syZxjVJSUkaNWqUvvrqK12+fFmVKlXS+++/r0aNGtnMQcGCBeXh4SFJGjBggGbNmqXffvtNTz/9tCTJarVq6tSp+uyzz3T69GmVKVNGo0ePVps2bSRJqamp6tWrl9atW6czZ87Iz89P/fr108CBA417pI+3Vq1a+uijj+Tk5KRjx46Z+Mhlr+k7F+hy4tXbnuPYac4d+ylQoIBmzZqVXcMCAOChQahGBrGxsapSpYqkG8HZ3t5e8+fPV0JCgiwWizw8PNSpUyc1bdpUFy5c0LBhwzLtJz2Injp1SiEhIQoNDdXChQu1f/9+9ezZU3nz5tW4ceMkSSNGjNDs2bM1Y8YM1a9fX6dPn9b+/fuNvtzc3DR//nwVKVJEe/bsUc+ePeXm5nbLe0tSZGSkfHx8FBkZqcOHD6t9+/YKDAxUz549JUndunXTsWPHFB4eriJFimjFihVq3ry59uzZo9KlS2foz2q1as2aNTpx4oRq1apltI8aNUrLly/Xp59+qtKlS2vDhg165ZVXVKBAAQUHBystLU3FihXT0qVL5e3trS1btqhXr17y8fFRu3btjH5+/vlnubu7a+3atbJarZnWlJiYqMTERON1XFycJCnNzqpUu8yvyQ6XE6/q4vUrtz/pTsd1Yw6Tk5OzaVQ3pPeX3f0+KnJ7/RJzkNvrl5iD3F6/dG9zkN3zZbHe6qs3cq2UlBSdPHlScXFxqlmzpnbs2CFXV1cFBgZq9erV8vPzk6urq+bNm6fhw4fr4sWLeuKJJ27Z38iRI7Vs2TLt27dPFotFkvTJJ59o+PDhunLliq5du6YCBQro448/1quvvpqlMU6dOlVLlizRr7/+KinzleqoqCgdOXJE9vb2kqR27drJzs5O4eHhOnLkiEqXLq2TJ0+qSJEiRr9NmjTRk08+qUmTJikqKkqNGzeWi4uLpBuBNi0tTRMmTDBW0K9duyZvb2+tW7dOderUMfp59dVXFR8fr8WLF2c6/tdee01nz57Vt99+a4z3hx9+UGxsrJycnG5Z97hx4zR+/PgM7YsXL5azs3OW5u5ehIWF6erV269UZ4Wbm5u6deuWDSMCAMCc+Ph4derUSVeuXJG7u7vp/lipRgYODg7y9/fX0qVLFRQUpKpVq2rz5s0qVKiQGjZsaJyX1e/H9u3bpzp16hiBWpLq1aunf/75RydPntSZM2eUmJhobKfIzLfffquZM2fq8OHD+ueff5SSknLHfwAVK1Y0ArUk+fj4aM+ePZKk3377TVarVWXKlLG5JjExMcPe7I0bN8rNzU2JiYn65Zdf1L9/f3l6eqpv376KiYnR9evX1bRpU5trkpKSVK1aNeP1Z599pjlz5uj48eNKSEhQUlJShqeVVK5c+baBWrqxoj948GDjdVxcnHx9fVX8oLPcnVxve60Z3nb55Zj39m/BcHDPc+d+vL0VEhKSXcOSdGOlYe3atWratKmxtSc3ye31S8xBbq9fYg5ye/3Svc1B+k97swuhGhlUrFhRx48fV3JystLS0uTq6qqUlBSlpKTI1dVVxYsX1969e41Aun//fptV2n+zWq02gTq9TZLxVI3b2bZtmzp06KDx48erWbNmyp8/v8LDwzVt2rTbXvfvf1QWi0VpaWmSbuzhtre3186dO22Ct3TjTY83K1GihLGVpWLFitq+fbveffdd9e3b1+hv9erVKlq0qM11efLcCJlLly7VG2+8oWnTpqlOnTpyc3PT1KlTtX37dpvz01fEbydPnjxGvzezS7PIPs2SyRXZY0iNrnc8p/zIp+7b/bPC0dEx134xkahfYg5ye/0Sc5Db65fubg6ye64I1cggIiJCycnJevrppzVlyhTVqFFDHTp0UGhoqJo3b258Ej7zzDPy9vbWlClTbN6omO7y5cvy8PBQhQoVtGzZMptwvWXLFrm5ualo0aIqUKCA8uXLp59//jnT7R+bN29W8eLFjS0XknT8+HFTNVarVk2pqak6d+6cGjRocFfX2tvbKyEhQZJUoUIF5cmTR7GxsQoODs70/I0bN6pu3brq16+f0XbkyJF7HzwAAHjoEKqRQfHixXXmzBmdPXtWLVu2lJ2dnWJiYtSqVSub/ccuLi6aM2eO2rZtqxdeeEEDBgxQQECALly4oKVLlyo2Nlbh4eHq16+fZs6cqddff139+/fXgQMHNHbsWA0ePFh2dnbKmzevhg8frmHDhsnJyUn16tXT+fPntXfvXvXo0UMBAQFGX0FBQVq9enWmIf5ulClTRi+//LK6dOmiadOmqVq1arpw4YLWrVunypUr22xROHfunK5fv25s/1i0aJHxZA83Nze9+eabeuONN5SWlqb69esrLi5OW7Zskaurq7p27aqAgAAtXLhQa9asUYkSJbRo0SLt2LFDJUqUMFUDAAB4eBCqkamoqCgFBQUpb9682rhxo4oWLWoTqNO1bNlSW7Zs0eTJk9WpUydjj+9TTz2ld955R5JUtGhRRUREaOjQoapatao8PT3Vo0cPjRo1yuhn9OjRcnBw0JgxY/TXX3/Jx8dHffr0Me7xxhtvqH///kpMTNRzzz2n0aNHG08OuVdhYWF65513NGTIEJ06dUpeXl6qU6dOhj2/ZcuWlXRjr7mvr6969+5tc++JEyeqYMGCmjx5sv788095eHioevXqevvttyVJffr0UXR0tNq3by+LxaKOHTuqX79++v77702NHwAAPDx4+gfwCIuLi1P+/Pm1dcx/lf8+vlExK3JqT3VycrIiIiIUEhKSK/cS5vb6JeYgt9cvMQe5vX7p3uYg/Wtodj39g9+oCAAAAJhEqAYAAABMIlQDAAAAJhGqAQAAAJMI1QAAAIBJhGoAAADAJEI1AAAAYBKhGgAAADCJUA0AAACYRKgGAAAATCJUAwAAACYRqgEAAACTCNUAAACASYRqAAAAwCRCNQAAAGASoRoAAAAwiVANAAAAmESoBgAAAEwiVAMAAAAmEaoBAAAAkwjVAAAAgEmEagAAAMAkh5weAADzSg+oJy8vr5weBgAAuRYr1QAAAIBJhGoAAADAJEI1AAAAYBKhGgAAADCJUA0AAACYRKgGAAAATCJUAwAAACYRqgEAAACTCNUAAACASYRqAAAAwCRCNQAAAGASoRoAAAAwiVANAAAAmESoBgAAAExyyOkBADBv2rRpcnJyyulh5Ag7OztVrVpVkydPVlpaWk4P54HL7fVLzEF6/QByFivVAAAAgEmEagAAAMAkQjUAAABgEqEaAAAAMIlQDQAAAJhEqAYAAABMIlQDAAAAJhGqAQAAAJMI1QAAAIBJhGoAAADAJEI1AAAAYBKhGgAAADCJUA0AAACYRKgGAAAATCJUAwAAACYRqgEAAACTCNUAAACASYRqAAAAwCRCNQAAAGASoRoAAAAwiVANAAAAmESoBgAAAEwiVAMAAAAmEaqRbSwWi1auXPlA7jVu3DgFBgY+kHtlhb+/v2bOnHnbcx7k/AAAgAeLUP0IOH/+vBwdHRUfH6+UlBS5uLgoNjbWOP7vQGe1WjVkyBC5ublp3bp1OTDie3OroHy/w+iyZcvUqFEj5c+fX66urqpSpYomTJigixcvZut9Tp8+rWeffTZb+wQAAA8HQvUjYOvWrQoMDJSzs7N27twpT09P+fn5ZXpuamqqevTooYULF2rdunV66qmnHvBoHy0jR45U+/btFRQUpO+//15//PGHpk2bpt9//12LFi3K1nsVLlxYefLkydY+AQDAw8EhpweAO9uyZYvq1asnSdq0aZPx939LTExUx44dtWPHDm3YsEHly5c3jvn7+6tXr146fPiwvvnmGz3xxBMaNWqUevXqZZyzZ88eDRw4UFu3bpWzs7Nat26t6dOny9XV1Thn3rx5mjZtmg4fPixPT8//x969x/dc//8fv713ZLZZDHMYcz4zp3LKrIiU5HwoEhIipxAih0JJ6KgcNomkHD7FIsWcCZlkcsr5LIctm53er98f++399W7DeM3ett2vl8suttfx+Xju5bX7nu/n+zXatm3LJ598kmZ7JkyYwKeffsqaNWsIDAxkxIgRLF++nNOnT+Pn58cLL7zA2LFjcXV1JTQ0lPHjxwPJI9MAISEhjBs3DoDWrVsDUKJECY4fP247x4IFCxgzZgxXr17l6aefZvbs2Xh5eQHJI/ZTp05l1qxZnDt3jnLlyjFmzBjatWsHwG+//cakSZOYMWMGAwcOtOurpk2bcu3aNQCOHj3KkCFD2L59Ozdu3KBixYpMnjyZJk2a2NUbHR1Nly5d+OGHH/D29mbkyJEMGDDAtt5isbB8+XKef/55jh8/TsmSJVm6dCkff/wxO3bsoGzZssyaNYt69eql2Z8i/7V3717i4uL4/fffiY+Pd3RzHCqn98Hvv//O4sWLbffPnMYwDGJjY3NsH2TX+gsUKMDMmTMd3Yx0U6h+SJ08eZJq1aoBEBMTg7OzM6GhocTGxmKxWPDx8aFLly589tlnAPz7778888wznDp1ii1btqQ5kj1t2jQmTpzIqFGj+P777+nbty+NGjWiQoUKxMTE0Lx5c+rWrcvOnTu5ePEivXr1on///oSGhgLw+eefM2TIEKZMmcLTTz/N9evX2bJlS6rzGIbBoEGDWLFiBZs3b6Zs2bIAeHl5ERoaSpEiRdi3bx+vvPIKXl5eDB8+nI4dO/Lnn3+yevVqfvnlFwDy5s3LM888Q8GCBQkJCaF58+Y4OzvbznP06FFWrFjBypUruXr1Kh06dGDKlCm8++67ALz11lssW7aMzz//nLJly7Jx40ZefPFFChQoQFBQEAsXLsTT05N+/fql+T3w8fGx9W2LFi145513yJUrF/Pnz6dly5YcPHjQrp+nTp3KqFGjGDduHGvWrGHw4MFUqFCBpk2b3vb7PHr0aD744APKli3L6NGj6dy5M0eOHMHFJe3/mnFxccTFxdm+joqKAsDJyQknp5z5wlNK3Tmx/pTr4dZrIqfK6X0QFxdHdHS0o5vhcDm9D7Jb/YZhkJCQkK5tU7ZL7/b3um16WAzDMDL0iJIhEhMTOX36NFFRUdSuXZudO3fi6elJYGAgq1atonjx4nh6euLr60tAQADnzp3Dy8uLyMhIChYsmOp4AQEBPP7447YpDYZh4Ofnx/jx4+nTpw+zZ89mxIgRnDp1ijx58gAQFhZGy5YtOXv2LIUKFaJo0aK8/PLLvPPOO2m22WKx8N133/G///2PXbt2sXbtWooVK3bbGqdOncq3337Lrl27gOQ51StWrCAiIiLVcVNGeFOMGzeOqVOncv78edvI9PDhw9m4caNtRNnX15d169bZjfz26tWLmJgYFi1aRIsWLThz5gx79+69+zfkPypXrkzfvn3p378/kNy/FStW5KeffrJt06lTJ6KioggLC0tVR8pI9Zw5c+jZsycAkZGRVK5cmQMHDlChQoU0zztu3DjbiP6tFi1ahIeHxz3XIVlbSEhItvshKiKSwsvLi5dffvmBHT8mJoYuXbpw/fp1vL29TR9PI9UPKRcXFwICAliyZAl16tShevXqbNmyhUKFCtGoUaNU2z/11FP88ssvtukMaUkZ+YbkgOfn58fFixcBOHDgANWrV7cFaoAGDRpgtVo5ePAgFouFs2fP8uSTT96x3YMHD8bd3Z3t27fj6+trt+77779nxowZHDlyhH///ZfExERTF3FAQIAtUAMULlzYVk9kZCQ3b95MNUocHx9PjRo1gORfLNLzMtmNGzcYP348K1eu5OzZsyQmJhIbG2v3ZlEg1bSNevXq3fWJILd+TwoXLgzAxYsXbxuqR44cyZAhQ2xfR0VF4e/vz/79+3Fzc7trLdmRk5MTVatWZd++fVitVkc3J1NZLBZy5cqFq6srCQkJ5NQxEovFkqP7IKX+3LlzO7opDhUbG5uj+yA71u/r60uLFi3StW1CQgJr166ladOmuLq6pmuflFd7M4pC9UOqcuXKnDhxgoSEBKxWK56eniQmJpKYmIinpyclSpRg//79tu2ffPJJXn/9dVq1akVSUhIff/xxqmP+9yKzWCy2EHKngGmxWNL9H7Vp06Z88803rFmzhhdeeMG2fPv27XTq1Inx48fTrFkz8ubNy+LFi5k2bVq6jpuWO9WT8u+qVasoWrSo3XYpbxYsV64cmzdvJiEh4Y7/AYcNG8aaNWv44IMPKFOmDLlz56Zdu3bpmr95t9B+63lTtr1TMHR3d0/zzY5WqzXHBcr/yol9aN4j2AAAtL9JREFUUL16dZycnKhevTp79+7NcfWnyOl9kFJ/ixYt0h0mspuEhATCwsJybB/k9Ppv5erqmu4+yOi+ynmTELOIsLAwIiIi8PPz4+uvvyYiIoIqVaowY8YMIiIibFMKbtW0aVNWrlzJvHnzeO211+5pxKZSpUpERERw48YN27ItW7bg5OREuXLl8PLyIiAggF9//fWOx3nuuedYtGgRvXr1YvHixXbHKlGiBKNHj6Z27dqULVuWEydO2O3r5uZGUlJSqmO6urqmufxu9bi7u3Py5EnKlClj9+Hv7w9Aly5d+Pfff23z0v8r5Y2KmzZtonv37rRu3ZqqVavi5+dn92bJFNu3b0/19e1GnEVERCR70Uj1Q6pEiRKcP3+eCxcu0KpVK5ycnIiMjKRNmzYUKVLktvs98cQTrFq1imeffRbDMPj000/TNcXhhRde4O233+all15i3LhxXLp0iQEDBtC1a1cKFSoEJM/n7dOnDwULFuTpp58mOjqaLVu22D3hApKf1LFgwQK6du2Ki4sL7dq1o0yZMpw8eZLFixdTp04dVq1axfLly+32CwgI4NixY0RERFCsWDG8vLxwd3e3hfkGDRrg7u7OI488ctd6vLy8eOONNxg8eDBWq5WGDRsSFRXF1q1b8fT05KWXXuKxxx5j+PDhDB06lDNnztC6dWuKFCnCkSNHmDVrFg0bNmTgwIGUKVOGZcuW0bJlSywWC2PGjElzNGzLli28//77PP/886xdu5bvvvuOVatW3bWtIiIikvVppPohFh4eTp06dciVKxc7duygaNGidwzUKRo3bkxYWBgLFiygb9++6Rqx9vDwYM2aNVy5coU6derQrl07nnzySbvH5b300kvMmDGDzz77jMqVK/Pss89y+PDhNI/Xrl075s+fT9euXVm2bBmtWrVi8ODB9O/fn8DAQLZu3cqYMWPs9mnbti3NmzcnODiYAgUK8M033wDJTy1Zu3Yt/v7+tvnQ6TFx4kTGjh3L5MmTqVixIs2aNePHH3+kZMmStm3ee+89Fi1axI4dO2jWrBmVK1dmyJAhVKtWjZdeegmA6dOn88gjj1C/fn1atmxJs2bNqFmzZqrzDR06lN27d1OjRg0mTpzItGnTaNasWbrbKyIiIlmXnv4hkoVFRUWRN29eRo4cmaPfqKj5tDm3flAfaE615hTn9Prh/vog5WdoRj39QyPVIiIiIiImKVSLiIiIiJikUC0iIiIiYpJCtYiIiIiISQrVIiIiIiImKVSLiIiIiJikUC0iIiIiYpJCtYiIiIiISQrVIiIiIiImKVSLiIiIiJikUC0iIiIiYpJCtYiIiIiISQrVIiIiIiImKVSLiIiIiJikUC0iIiIiYpJCtYiIiIiISQrVIiIiIiImKVSLiIiIiJikUC0iIiIiYpJCtYiIiIiISQrVIiIiIiImKVSLiIiIiJikUC0iIiIiYpKLoxsgIuYNHTqU/PnzO7oZDpGQkEBYWBgjR47E1dXV0c3JdDm9flAfpNQvIo6lkWoREREREZMUqkVERERETFKoFhERERExSaFaRERERMQkhWoREREREZP09A+RLMwwDACio6Nz5FMPIPnJBzExMURFReXIPsjp9YP6IKfXD+qDnF4/3F8fREVFAf/3s9QshWqRLOyff/4BoGTJkg5uiYiISNYUHR1N3rx5TR9HoVokC8uXLx8AJ0+ezJAbQlYUFRWFv78/p06dwtvb29HNyXQ5vX5QH+T0+kF9kNPrh/vrA8MwiI6OpkiRIhnSBoVqkSzMySn5bRF58+bNsTfSFN7e3jm6D3J6/aA+yOn1g/ogp9cP994HGTkgpTcqioiIiIiYpFAtIiIiImKSQrVIFubu7s7bb7+Nu7u7o5viMDm9D3J6/aA+yOn1g/ogp9cPD0cfWIyMeo6IiIiIiEgOpZFqERERERGTFKpFRERERExSqBYRERERMUmhWkRERETEJIVqERERERGTFKpFJMfRQ49E14DoGpCMvgYUqkUkx7hy5QoAFovFwS0RR9E1ILoG5EFdAwrVIjnEmTNn2LJlC//73/+4ceMGiYmJjm5Sptq7dy+1a9dm165djm6Kw+ga0DWga0DXgK6BB3cNuGT4EUXkofPHH3/QokUL8uXLx4EDB6hYsSKdO3fmtddew9vb29HNe+D27t1L3bp1GThwILVr1waSX/bLSSNVugZ0Dega0DWga+DBXgMaqRbJ5v755x86d+7Miy++yOrVq7ly5QoNGjTgxx9/ZODAgVy7ds3RTXyg/vzzT+rWrcvw4cOZMmUKkPzS38GDBx3cssyja0DXgK4BXQO6BjLhGjBEJFv7888/jRIlShi///67bVlcXJzx4YcfGo899pjx2muvGTdu3HBgCx+cf/75xwgMDDTKly9vW/biiy8aNWrUMHLnzm00bNjQWLZsmREXF+fAVj54ugZ0Dega0DWga+DBXwMaqRbJ5lxdXQE4deoUAImJibi5ufH666/z3HPPsXXrVtatW+fIJj4wHh4eNG3aFD8/P4YMGUL9+vW5evUqAwcO5JdffsHd3Z0JEyawefNmRzf1gcrJ10Du3Llp0qSJroEcfA3oPpAsJ18DmXYfMJv+ReThFhsba9SuXdt45plnjISEBMMwDCMxMdG2vm7dukb79u0d1bwHJikpyTAMw7hx44YxZswYIyAgwGjWrJlx/vx5u22qVq1qdO7c2VHNzBQ3b9406tSpk6OugbNnzxqHDx82DCP5Ghg7dmyOvgZ0H9B9QPeBB38f0Ei1SDYTHR3N5cuXiYmJISkpiVy5cjF37lw2btxIv379AHB2drY9n/O5557j8uXLWK1WRzY7w8TFxREXF2d744mHhwdvvvkmgwcPZuDAgRQsWBBIHqVxcnLisccesz1eKbvYs2cPnTt3BiApKQl3d3fmzZvHpk2bcsQ1EBkZSaNGjVi+fDmQM68B3Qd0H9B9IPPvAwrVItnIvn37CA4OJjg4mAoVKvDmm2+ya9cuqlWrRkhICAsXLqRbt26cP3/ets+BAwfIly9ftriRHjhwgE6dOtG4cWNq1qzJ+vXrMQwDDw8P+vXrx5NPPmn7Ievi4oJhGFy7do1q1aoB2eOPQezdu5eGDRtStGhRIPmHptVqpUqVKoSGhrJo0aJsfQ3s3buXOnXqcOnSJebPn2+rKXfu3DnmGtB9QPcB3QccdB8wNc4tIg+N48ePG76+vkb//v2NX375xRg/frwRFBRkBAYGGuHh4YZhGMaaNWuMAgUKGLVq1TKaNm1qdOrUyfD09DT++OMPB7fevD///NPw9fU1+vXrZ3zyySdG69atDV9fX+Ps2bNpbp+YmGiMGjXKKFy4sHHo0KFMbu2DERERYeTJk8d44403brtNdr4GIiIijNy5cxtvvfWWceTIESMgIMCYNWuWYRj/Nw3gVtnxGtB9QPcB3Qccdx9QqBbJJhYsWGA0aNDANlfOMAxjw4YNRseOHY2yZcsamzZtMgzDMC5evGi8/fbbRs+ePY0hQ4YYkZGRjmpyhrl06ZLRqFEjY+DAgXbLq1SpYrzzzjuptl+6dKnx9NNPG35+fnbvhM/KTp8+bfj4+BgdO3Y0DMMw4uPjjREjRhht27Y1HnvsMWPWrFnGsWPHDMPIntfAnj17jNy5cxujRo0yDMMwoqKijMcff9xo1apVmttnx2vAMHQf0H1A9wFH3gcUqkWyiTlz5hj58+c3zpw5Y7d8+/btRrt27YxmzZoZR48eNQzDMKxWq2EYaf/WnhVt2bLFqFOnju2mmPLmm1atWqU5WnPmzBlj0KBBxoEDBzK1nQ/Sxo0bjaCgIKNx48bGzp07jebNmxtBQUFG3759jY4dOxoVK1Y0evfubZw4ccIwjOx3DYwcOdIYOXKkYRj/V9Ovv/5q5MqVy1i+fHmq7c+cOWMMHjw4W10DhqH7gO4Dug848j6gUC2SxaXcFNevX2+UK1fOWLJkSaob5PLly41SpUoZ69evNwzj/242KftmB/Pnz7d9Hh8fbxiGYfTt2zfVqFVMTIxhGNnnh8itfvnlF6Nly5aGq6ur0axZM+Py5cu2dZ9++qlRuHBhY8OGDYZh/N/3PjtdA7eyWq3GuXPnjODgYOO1114zDOP/QlZ2CxK32rBhQ46+D3z11Ve2z3PqfeDXX3/VfeD/y+z7gN6oKJJFWa1WkpKSbG+2aNy4MVWqVGHw4MFERETYbfv888+TK1cuVq1aBYCTU/J//az853lT6k/RrVs32/KU57EmJSVx8eJF2zbTp09nyZIlWK1WWx9kZf/tgyeffJJ+/frRt29f3nrrLfLnz297g06/fv2wWq2259CmfO+z0zUA2L62WCz4+fnRsmVL5s6dy4kTJ3B2dratA7LFNZAi5fvcqFEjqlevnmPuAykSEhIA6Nq1K5Cz7gMpEhMTAXjiiScYMGBAjrkPpPjvvQAy/z6Qfa4mkRzkwIED9OvXj2bNmjFmzBiWLl0KwNKlSylRogTt27dny5Ytth80iYmJFClShOLFizuy2Rnmv/X/73//s1uf8gPEycmJXLlyATB27FiGDh1KrVq1ssUP0v/2Qcpjo5o3b06fPn149NFHgeQ+sFqtnD9/nhIlSlC9enVHNjvD3O4acHZ2Jikpyfbu/Z49e1K5cmWmT59uCx3Zxblz59i9ezeQ/H1O+f++ZMkSSpcune3vA7fW7+rqavfEhpTrPuXz7HofuLUPXFxcbMGyadOm9O/fP9vfB26t/9bHA6bI7PtA1r+iRHKYv/76i/r16/Pvv/9SsmRJtmzZwrBhwxg1ahQA69ato3jx4rRv356RI0fyxRdf8MYbb7Br1y6aNWvm4Nabl1b9gwcPZsyYMUDyD4/4+Hgg+YeMn58fH3zwAVOnTmXXrl1UqVLFkc3PEGn1wdChQxk9ejQAFStWtI3SQXKffP7550RFRVGrVi1HNTvD3O0aSHl8GIC3tzcNGjTgxx9/tIXL7OCvv/6icuXKjBkzht9++w1IDpYpgWHVqlWUKlUqW98H/lu/xWKxC1Up10B2vg/8tw9SfqkEKFu2LG5ubrbts+N94G7XQMpodKbdBzJsIomIPHBWq9UYPHiw0aFDB9uyU6dOGdOnTzdy5cplDB061LZ85MiRRvPmzY3y5csbTZs2Nfbs2eOAFmesO9WfO3duY9iwYXbbDx482LBYLIaXl5exc+fOzG7uA3GvfbB06VJjwIABRt68eXPcNZDyBIxDhw4ZJUuWNE6fPp3p7X0QLly4YDz++OPGE088YZQrV85o27atsWPHDtv6W+eIvvXWW9nuPnC3+v87Pzg73gfutQ+y233gXupP+Twz7gMuDy6ui0hGs1gsHDlyxG4UslixYvTs2RM3NzfGjBlDwYIFGT58OJMmTeLmzZvExcXh6uqKh4eHA1ueMdJTf+HChRk8eDCA7SXfHTt2ULFiRYe0OaPdax/8/fff7N+/n82bN2eL0bl7qd/FJflHXMmSJYmIiMDb29tRzc5Qp06dokiRIrz55pskJibSpUsX3n//fYYPH86jjz5qmwri6urKxIkTiYmJsX2dHe4Dd6v/v/OD3d3dgex1H7jXPjh69Gi2ug+kp37DMLBYLFgsFqxWa+bcBx5YXBeRDJXy2/bUqVON+vXrGwcPHrRbf+nSJWPYsGFGo0aNss2I3K3upf5bHyd26tSpTG3ng3S/fXDt2rVMbeeDci/1nzt3zhFNzBTR0dFGRESE7esdO3YYZcqUMdq2bWts377dtjzl6RfZzf3Uf/LkyUxt44N2P32QXe4DhpH++lOe9JFZNKdaJItIGXmoXr06Z8+eZeHChVy5csW23tfXl1atWrF9+3ZOnjzpqGY+MPdS/4kTJ2zLixUrlultfVDutw/y5s2b6W19EO6l/mPHjjmqmQ+cp6enbbQxISGBRx99lEWLFrF3716mTp3Kb7/9htVqZcqUKSxZssTBrc1491L/woULAfD393dkkzPcvfTBokWLgOxzH4D01z9p0qRM/T+g6R8iD7Fjx47x66+/8u+//1KxYkWaNWtG06ZNGThwIG+88Qbu7u50796dIkWKAMlvTMkuL2+C6gf1QU6vH9Lug5Q3Y7q6umK1WqlTpw7ffPMNnTt3ZurUqSQkJPDzzz+zc+dORzfftJxeP6gPskz9mTouLiLptm/fPiNfvnzGk08+aRQpUsSoVKmS0ahRI+PGjRuGYSS/BO7l5WX07t3bWLlypXH8+HHjjTfeMIoWLWqcPXvWwa03L6fXbxjqg5xev2Gk3QfBwcHGv//+axhG6j9gsW3bNsNisRiPPPJItnhDWk6v3zDUB1mpfoVqkYfQjRs3jAYNGhh9+/Y1DMMwrl69avz0009GlSpVjAoVKhjnz583DMMw5s2bZzRp0sTw8PAwKlWqZJQoUcL2J3qzspxev2GoD3J6/YZx5z6oXLmyrQ9S5o3GxsbanvCwf/9+h7U7o+T0+g1DfZDV6leoFnkIXblyxahataqxbNky2zKr1WocOnTIqFmzplGlShXb8gsXLhj79u0zfv/9d9sNJqvL6fUbhvogp9dvGHfvg8DAQLvlx44dM8qUKWP3Rq2sLKfXbxjqg6xWv0K1yEMoMTHRqFy5sjFgwIBU6/bu3WuUK1fO6NOnjwNaljlyev2GoT7I6fUbRvr64LXXXrNbnjI1JjvI6fUbhvogq9Wvp3+IPGQMw8DZ2Zn27duza9cuwsLC7NZXrVqVzp07s3//fm7cuOGgVj44Ob1+UB/k9Poh/X3wxx9/2PVBdngONah+UB9kxfoVqkUeMimPDevatSuGYfDpp58SHh5ut75SpUqcPXuWmJgYB7Xywcnp9YP6IKfXD+qDnF4/qA+yYv0K1SIPIcMwKFWqFF9++SUnT57k/fffJzQ0FIC4uDh+++03ihQpQu7cuR3b0Ackp9cP6oOcXj+oD3J6/aA+yGr1WwzDMBzdCJGcKjExEcMw7P7kstVqxcnJyfZvZGQkb731Fvv27SM2NpYyZcrwxx9/sG7dOgIDAx3X+AyQ0+sH9UFOrx/UBzm9flAfZJf6FapFHCQyMpLx48dz9uxZypQpw1NPPUXnzp0BSEpKsj3Y3snJicuXL3P8+HF++uknihUrxuOPP06ZMmUcXIE5Ob1+UB/k9PpBfZDT6wf1QXaqX6FaxAEOHTrEo48+SsuWLSlbtiy//vor0dHRVK9enZCQEADi4+Nxc3NzcEsfjJxeP6gPcnr9oD7I6fWD+iDb1f8gHy0iIqlZrVZj9OjRRrt27WzLbty4YXzyySdG1apVjQ4dOthtP2/ePOPkyZOZ3cwHJqfXbxjqg5xev2GoD3J6/YahPsiO9euNiiKZzGKxcObMGc6fP29b5uHhQY8ePRg4cCCHDx9m5MiRAGzdupVJkyYxatQokpKSHNXkDJXT6wf1QU6vH9QHOb1+UB9kx/pdHN0AkZzEMAwsFgs1a9bk4MGD/PXXX1SoUAGA3Llz0759ew4dOsT69eu5evUq9evXZ/jw4TRp0gRnZ2cHt968nF4/qA9yev2gPsjp9YP6INvW77hBcpGc68iRI4avr6/x8ssvG1FRUXbrzp49azg5ORnff/+9g1r34OX0+g1DfZDT6zcM9UFOr98w1AfZrX5N/xBxgNKlS7NkyRIWLVrEyJEjuXz5sm2dm5sbNWrUIH/+/A5s4YOV0+sH9UFOrx/UBzm9flAfZLf6Nf1DxEGCg4P57rvvaN++PWfPnqV9+/ZUq1aNBQsWcPr0aUqXLu3oJj5QOb1+UB/k9PpBfZDT6wf1QXaqX4/UE3Gw33//nSFDhnDs2DFcXFxwdXXlm2++oUaNGo5uWqbI6fWD+iCn1w/qg5xeP6gPskP9CtUiD4GoqCiuXLnCv//+i5+fH76+vo5uUqbK6fWD+iCn1w/qg5xeP6gPsnr9CtUiIiIiIibpjYoiIiIiIiYpVIuIiIiImKRQLSIiIiJikkK1iIiIiIhJCtUiIiIiIiYpVIuIiIiImKRQLSIiIiJikkK1iIiIiIhJCtUiIpKpjh8/jsViueNHYGCgo5sp6WSxWGjcuLGjmyHicC6OboCIiORMpUuX5sUXX0xznZ+fXya3RkTEHIVqERFxiDJlyjBu3DhHN0NEJENo+oeIiDzUUqYXXLp0iR49elCwYEFy585N3bp1CQ8PT3OfP/74gxYtWuDl5UXevHlp0aIFf/75J927d8disXD8+HHbttevX+e9994jKCiIIkWK4ObmRpEiRejWrRtHjx5N8/iXL1+md+/eFCxYEA8PD+rUqcPy5csJDQ3FYrEQGhqaZps6depE4cKFcXNzo0SJEgwYMIB//vnHbruU6THdu3fnwIEDPPvss/j4+PDII4/QuXNnLl++DMCOHTto2rQp3t7ePPLII7zyyivcuHEjzfZu3LiRli1b4uvri7u7O2XLluWtt94iJibGbrvw8HAsFgvjxo3j999/p1mzZrY+bN26tV2/pWwLsGHDBrvpO2nVL5LdaaRaREQeeteuXaNBgwZ4e3vzwgsvcPHiRb799luaNWvG7t27qVKlim3bvXv38vjjjxMTE0ObNm0oU6YMu3fvpmHDhlSvXj3VsQ8cOMDYsWMJDg6mdevW5MmTh7/++otFixaxatUqfv/9d0qUKGHb/t9//yUoKIjIyEgaNmxIw4YNOXPmDJ07d+app55Ks/0//PADHTp0wNnZmeeeew5/f38iIyP55JNPWLNmDTt27OCRRx6x2+fYsWPUr1+f2rVr06tXL3bt2sXixYs5deoU7733Hk2bNqVp06b07t2b8PBw5syZA8Ds2bPtjjNr1iz69evHI488QsuWLSlQoAA7d+7k3XffZf369axfvx43Nze7fXbt2sXUqVNp3Lgxr776Knv27GHFihXs27ePP//8k1y5chEQEMDbb7/N+PHjKVGiBN27d7ftrznxkiMZIiIimejYsWMGYJQuXdp4++230/z46aefbNsDBmD069fPSEpKsi2fM2eOARivvvqq3fEbNmxoAMZ3331nt/ztt9+2HevYsWO25deuXTP++eefVO1ct26d4eTkZPTq1ctu+VtvvWUAxmuvvWa3fP369bbjh4SE2JZfvnzZ8Pb2NooVK2acOHHCbp9FixYZgNG/f/9U/QMYM2bMsC23Wq1GixYtDMDw8fExVqxYYVsXHx9vVKtWzXB1dTXOnz9vW75//37DxcXFqFGjRqoaJ0+ebADGBx98kGYNixcvttu+a9euBmB88803dssBIygoKFX/ieQ0CtUiIpKpbg2Nt/sYOHCgbXvAyJMnjxEdHW13nISEBMPFxcWoWbOmbdnx48cNwKhRo0aq8964ccPIly9fqlB9J1WrVjUCAgLslgUEBBju7u7GxYsXU23frFmzVKH6ww8/NABjwYIFaZ6jZs2ahq+vr+3rlP4pVaqU3S8RhmEYX331lQEYwcHBqY4zYcIEAzDWr19vW/b6668bgLFp06ZU2yclJRkFChQwatWqZVuWEqobNWqUavuUdUOGDLFbrlAtkkzTP0RExCGaNWvG6tWr07Vt2bJl8fT0tFvm4uJCoUKFuHbtmm3Z3r17Aahfv36qY3h4eFC9enXWr1+fal14eDgzZsxgx44dXL58mcTERNu6W6dGREVFcfz4cSpXrkyBAgVSHad+/fqsWbPGbtn27dtt/x45ciTVPjdv3uTy5ctcvnwZX19f2/Lq1avj5GT/1qfChQsDaU+vSFl35syZVOdevXo1v/zyS6p9XF1d+euvv1Itr1mzZqplxYoVA7DrbxH5PwrVIiLy0MubN2+ay11cXEhKSrJ9HRUVBZBm4AUoVKhQqmXfffcdHTt2xNPTk2bNmhEQEICHh4ftDXcnTpwwdfwrV64A8Omnn6a5T4obN27YhWpvb+9U27i4uNx1XUJCQqpzv/vuu3c893+l1d8px7+1v0Xk/yhUi4hItpESNi9dupTm+gsXLqRaNm7cOHLlysXu3bspW7as3brFixebPn7KPvv27bN7Q2VmSDl3VFQUXl5emXpukZxGj9QTEZFsI+XpHlu3bk21LiYmxjY95FZHjx6lYsWKqQL12bNnUz1Sz9vbm4CAAI4cOZJmsE7rvI899hgA27ZtS38hGSTl3CnTQB4EJycnjV6LoFAtIiLZSIkSJWjQoAF79uzh+++/t1s3depU23SI/+5z5MgRu1Hmmzdv0rdvX7u51SleeOEF4uLiGD9+vN3y8PDwVPOpAV5++WW8vLwYPXo0+/fvT7U+JibmgYXefv364eLiwoABAzh16lSq9deuXWPPnj2mzpEvXz5Onz5t6hgi2YGmf4iIiEMcOXLkjn9R8X7/2uLHH39Mo0aN6NSpE23btqV06dL8/vvvbN++nUaNGrFx40a7NwAOGDCAAQMGUKNGDdq1a0diYiJr167FMAyqV6+eanR7xIgRLF26lE8//ZQ//viDhg0bcvr0aZYsWULLli358ccf7Y5foEABvvnmG9q3b0/16tVp3rw5FSpU4ObNm5w4cYINGzZQv379dL9p815UqVKFzz77jL59+1K+fHlatGhB6dKliYqK4u+//2bDhg10796dWbNm3fc5nnjiCZYsWUK7du2oUaMGzs7OPPPMM1StWjUDKxF5+ClUi4iIQxw9ejTVaO+t7jdU16hRg02bNvHmm28SFhaGxWKhYcOGbN68mZEjRwL2b/R77bXXcHV15eOPP2b27Nn4+PjwzDPPMGnSJDp06JDq+F5eXmzcuJGRI0fyv//9j507d1K5cmW++eYb/v77b3788cdUbyR85pln2LNnD1OnTuWXX35h7dq15MmTh2LFivHyyy/z4osv3let6fHKK68QGBjIhx9+yMaNG/nhhx/ImzcvxYsXZ/Dgwbz00kumjj9z5kwA1q1bx/Lly7Farfj5+SlUS45jMQzDcHQjREREHrSkpCRKly5NbGxsmm8ozAgvvvgiCxcuJDIykooVKz6Qc4jIw0lzqkVEJFtJTEzk8uXLqZZPmTKFEydO8Pzzz5s+x7lz51It27BhA4sXL6Z8+fIK1CI5kEaqRUQkW7l27RqFChWiadOmlCtXjoSEBHbs2MHOnTspXLgwu3fvtv2hlPtVo0YNcufOTWBgIHny5CEyMpLVq1fj7OzMqlWraNq0aQZVIyJZhUK1iIhkK/Hx8QwaNIh169Zx9uxZbt68SeHChXn66acZM2YMRYsWNX2OGTNmsHDhQo4ePUp0dDQ+Pj40aNCAkSNH2h5jJyI5i0K1iIiIiIhJmlMtIiIiImKSQrWIiIiIiEkK1SIiIiIiJilUi4iIiIiYpFAtIiIiImKSQrWIiIiIiEkK1SIiIiIiJilUi4iIiIiYpFAtIiIiImKSQrWIiIiIiEkK1SIiIiIiJilUi4iIiIiYpFAtIiLyEAgNDcVisdC9e3dHN0VE7oNCtYiIiIiISQrVIiIiIiImKVSLiIiIiJikUC0iIiIiYpJCtYiI5EgWiwWLxQLA0qVLadSoET4+PlgsFo4fP27b7sqVK4wePZoqVaqQJ08evLy8qFu3LrNnz8ZqtaY6bvfu3bFYLISGhnLo0CE6duxIwYIFyZ07NzVq1GDevHnpbuOsWbOwWCy0bNnytttcuHABV1dX3N3duXLlSvo7QEQylEK1iIjkaO+99x7t2rXj0KFDlCtXjgIFCtjW7d+/n2rVqjFp0iQOHz5MQEAAhQoV4rfffqN379507NgRwzDSPO7hw4d59NFH+d///oe/vz+FChUiIiKCnj178vrrr6erbZ07dyZ37tysXr2aixcvprnN119/TWJiIs899xz58uW79w4QkQyhUC0iIjna2LFj+fLLLzl37hy//fYbZ8+epVixYty4cYNWrVpx5swZXn/9dS5dusT+/fs5cuQIf/75J5UrV+b777/ns88+S/O477//PjVr1uTUqVPs3r2b48eP89133+Hq6srHH3/MqlWr7tq2vHnz0qZNGxITE1m4cGGa28yfPx9Aj+ITcTCFahERydFeffVVXnnlFdtUEBcXF1xcXJg3bx5Hjx6ldevWzJw5E29vb9s+lSpVYtGiRVgsFj788MM0j+vs7MyiRYvsRr7btWvHgAEDgOTQnR49evQA/i8832rPnj3s27cPPz8/mjdvnr6CReSBUKgWEZEcrVu3bmkuX7ZsGQC9evVKc321atUICAjg77//5vTp06nWt2nTBj8/v1TL+/XrB8CWLVu4cePGXdsXHBxMyZIl2bt3L3v37rVblxK0X3zxRZydne96LBF5cBSqRUQkR6tYsWKay/ft2wckTw9p2LBhmh+XL18G4MyZM+k+bqlSpXB3dycpKYmjR4/etX23/pXFW0erExMTWbRoEaCpHyIPAxdHN0BERMSR8uTJk+by69evA7B79+67HiM2NjbVsoIFC6a5rcVioUCBApw+fZro6Oh0tfHll19m/PjxLFy4kPfffx8XFxfCwsK4dOkStWvXpnLlyuk6jog8OBqpFhERSYOnpyeQ/BQPwzDu+NG4ceNU+1+6dCnN4xqGYVvn5eWVrrb4+/vz5JNPcvHiRVavXg3oDYoiDxuFahERkTRUqlQJgD///PO+9j9w4ECay48dO0ZcXBxOTk6ULl063cdLecNiaGgo//zzDytXrsTNzY3OnTvfV/tEJGMpVIuIiKShTZs2AHz00Ue3fRb1nSxdupQLFy6kWp7yCL4GDRrcdupJWlq3bs0jjzzCjz/+yKeffkp8fLyeTS3yEFGoFhERScOrr75KqVKlWL9+PS+88ALnzp2zW//vv/+yZMkShgwZkub+SUlJvPDCC7Y3MwIsX76cjz/+GIBhw4bdU3vc3d3p0qUL8fHxTJw4EdDUD5GHiUK1iIhIGjw9PVm1ahUlS5bkm2++oVixYlSqVIm6detSvnx5fHx86NixI1u3bk1z/2HDhrFr1y78/f2pXbs2JUuWpE2bNsTHx9OvX787/unx20mZApKYmKhnU4s8ZBSqRUREbqNChQrs3buXKVOmUKdOHc6cOUNERATx8fEEBQXxwQcfsHjx4jT3LVeuHL/99hstW7bk5MmTnDt3jurVq/Pll1/yySef3Fd7atasSbVq1QA9m1rkYWMx7meimIiIiKSpe/fuzJ8/n5CQkAyfnmG1WvH39+fs2bO2P5UuIg8HjVSLiIhkET/99BNnz56lTp06CtQiDxmFahERkSwgNjaW8ePHA//3p85F5OGhUC0iIvIQCw0NJSgoiICAAHbu3EnlypV54YUXHN0sEfkPhWoREZGH2PHjx9m4cSM3b97kueeeY9WqVbi6ujq6WSLyH3qjooiIiIiISRqpFhERERExycXRDRCR+2e1Wjl79ixeXl5YLBZHN0dERCTLMAyD6OhoihQpgpOT+XFmhWqRLOzs2bP4+/s7uhkiIiJZ1qlTpyhWrJjp4yhUi2RhXl5eABw7dox8+fI5uDUZKyEhgZ9//pmnnnoqW70pK7vWBaotK8qudYFqy4oyu66oqCj8/f1tP0vNUqgWycJSpnx4eXnh7e3t4NZkrISEBDw8PPD29s52PzSyY12g2rKi7FoXqLasyFF1ZdT0Sb1RUURERETEJIVqERERERGTFKpFRERERExSqBYRERERMUlvVBTJBpq/8z1Wl9yObkaGcnOGN+vlpdGYb4hPerDn2j2124M9gYiIZHsaqRYRERERMUmhWkRERETEJIVqERERERGTFKpFRERERExSqBYRERERMUmhWkRERETEJIVqERERERGTFKpFRERERExSqBYRERERMUmhWkRERETEJIVqERERERGTFKpFRERERExSqBYRERERMUmhWkRERETEJIVqERERERGTFKpFRERERExSqBYRERERMUmhWkRERETEJIVqERERERGTFKpFRERERExSqBYRERERMUmhWkRERETEJIVqERERERGTFKpFRERERExSqJaHSvfu3Xn++efTvf3x48exWCxEREQ8sDaJiIiI3I1CtUmXLl3C1dWVmJgYEhMTyZMnDydPnky13aRJk3B2dmbKlCn3dZ7GjRszaNAgu2UpgdLFxYUzZ87YrTt37hwuLi5YLBaOHz9+X+e8m0WLFuHs7EyfPn0eyPEtFssdP7p3754h53nzzTepWLGi3bIDBw5gsVjo2rWr3fIFCxbg6urKv//+myHnFhERkexBodqkbdu2ERgYiIeHB7t37yZfvnwUL1481XYhISEMHz6cefPmZXgbihQpwldffWW3bP78+RQtWjTDz3WrefPmMXz4cBYvXkxMTEyGH//cuXO2jxkzZuDt7W23bObMmRlynuDgYP766y/Onz9vWxYeHo6/vz/r16+32zY8PJxHH30UT0/PDDm3iIiIZA8ujm5AVrd161YaNGgAwObNm22f32rDhg3ExsYyYcIEvvrqKzZu3EijRo1s68eNG8eKFSsYOnQoY8aM4erVqzz99NPMnj0bLy8vunfvzoYNG9iwYYMtSB47dsy2/0svvURISAgjR460LQsNDeWll15i4sSJtmVJSUn07t2bdevWcf78eYoXL06/fv0YOHCgbZvu3btz7do1GjZsyLRp04iPj6dTp07MmDEDV1dX23bHjx9n69atLF26lPXr1/P999/TrVs3u/MPGjSIb7/9lkGDBnHq1CkaNmxISEgIhQsXtrVn2LBhzJs3D2dnZ3r27IlhGLZj+Pn52T7PmzcvFovFbhnA1atXAfj7778ZPHgwO3bsoGzZssyaNYt69erZfZ/efPNNdu7cia+vL61bt2by5MnkyZOHhg0b4urqSnh4OJ06dQKSw/Nrr73GpEmTOHLkCGXKlLEt79y5MwAffvghISEh/P333+TLl4+WLVvy/vvv2wL3iRMn6N+/P5s3byY+Pp6AgACmTp1KixYtCA8PJzg4mJUrVzJq1CgOHjxI9erVmTNnDlWrVk11DTmC58GfcEq44dA2hPzlRK44K7ke8Hm6dFn9gM/wfwzDIDY2lsWLF2OxWDLtvJkhs2srUKBAhv1yLSJilkL1fTh58iTVqlUDICYmBmdnZ0JDQ4mNjcViseDj40OXLl347LPPAJg7dy6dO3fG1dWVzp07M3fuXLtQDXD06FFWrFjBypUruXr1Kh06dGDKlCm8++67zJw5k0OHDlGlShUmTJgAJP8wOXXqFADPPfccs2bNYvPmzTRs2JDNmzdz5coVWrZsaReqrVYrxYoVY8mSJfj6+rJ161Z69+5N4cKF6dChg2279evXU7hwYdavX8+RI0fo2LEjgYGBvPLKK7Zt5s2bxzPPPEPevHl58cUXmTt3rl2oTumbDz74gAULFuDk5MSLL77IG2+8wcKFCwGYNm0a8+bNY+7cuVSqVIlp06axfPlynnjiiXv+nowePZoPPviAsmXLMnr0aDp37syRI0dwcXFh3759NGvWjIkTJzJ37lwuXbpE//796d+/PyEhIeTJk4c6deqwfv16W6jesGEDw4YNY8OGDaxfv54yZcpw6tQp/v77b4KDgwFwcnLio48+IiAggGPHjtGvXz+GDx9u+76/9tprxMfHs3HjRvLkyUNkZGSqEe5hw4Yxc+ZM/Pz8GDVqFM899xyHDh2y+wXmVnFxccTFxdm+joqKAsDNGazO99xtd+SUcAOneMeG6uj4zHk57cKFzK8zOjo608+ZWTKrNsMwSEhIyJRzpZwns86XWbJrXaDasqLMriujz2Mxbh0alHRJTEzk9OnTREVFUbt2bXbu3ImnpyeBgYGsWrWK4sWL4+npia+vL1FRURQuXJitW7dSvXp1IiIiaNCgAefOncPb2xtIHqmeOnUq58+fx8vLC4Dhw4ezceNGtm/fDiTPqQ4MDGTGjBm2dhw/fpySJUuyZ88e5s+fz/Xr15k3bx49evTAx8eHbt26UaNGDY4dO0ZAQECatbz22mtcuHCB77//HkgeqQ4PD+fo0aM4OyentA4dOuDk5MTixYuB5HAeEBDAxx9/TKtWrbh8+TJFihQhMjLSNqIbGhrKyy+/zJEjRyhdujQAn332GRMmTLBNsyhSpAgDBw5kxIgRtn4tWbIktWrVYsWKFXbtTBn5vnbtmt3ylD6YM2cOPXv2BCAyMpLKlStz4MABKlSoQLdu3cidOzdffPGFbb/NmzcTFBTEjRs3yJUrF6NHj+b777/n4MGDREZGUq9ePa5cucIHH3zAH3/8wcKFC/nqq6/o3bs3V69eJXfu3Kn68rvvvqNv375cvnwZgGrVqtG2bVvefvvtVNumjFQvXryYjh07AnDlyhWKFStGaGio3S85txo3bhzjx49PtXzRokV4eHikuc/9CgkJydbBT7I+Ly8vXn75ZUc3Q0SyqJiYGLp06cL169dtmcwMjVTfBxcXFwICAliyZAl16tShevXqbNmyhUKFCqUagV60aBGlSpWievXqAAQGBlKqVCkWL15M7969bdsFBATYAjVA4cKFuXjxYrrb1LNnT+rVq8ekSZP47rvv2LZtG4mJiam2mzVrFnPmzOHEiRPExsYSHx9PYGCg3TaVK1e2BeqUtuzbt8/29c8//8yNGzd4+umnAfD19eWpp55i3rx5TJo0ybadh4eHLVD/t6br169z7tw5uykaLi4u1K5dm/v5PS/llYOU8wBcvHiRChUqsHv3bo4cOWIbIYfkES6r1cqxY8eoWLEiwcHBTJo0ibNnzxIeHk7Dhg1xdnYmKCiIjz76CEgOwnXr1rUF6vXr1zNp0iQiIyOJiooiMTGRmzdvcuPGDfLkycPrr79O3759+fnnn2nSpAlt27a1aydgV3++fPkoX748Bw4cuG2dI0eOZMiQIbavo6Ki8Pf355PdUVhdMvY3bncjNxY3a4Ye815YAG93J6LirDzo3/z9fPI84DPYi42NTfMXs+wgM2vz9fWlRYsWmXKuhIQE1q5dS9OmTW/7SlJWlF3rAtWWFWV2XSmv9mYUher7ULlyZU6cOEFCQgJWqxVPT08SExNJTEzE09OTEiVKsH//fiB5msT+/ftxcfm/rrZarcydO9cuVP/34rFYLFit6Q80VapUoUKFCnTu3JmKFStSpUqVVI+ZW7JkCYMHD2batGnUq1cPLy8vpk6dyo4dO+y2u1tb5s2bx5UrV+xGRq1WK3v27GHixIm2QJ7WcR7UCyO3nitlLmdKm61WK6+++iqvv/56qv1S3lTaoEED3NzcCA8PZ/369QQFBQFQu3Ztrl+/zqFDh1i/fr3tiSMnTpygRYsW9OnTh4kTJ5IvXz42b95Mz549bS8n9erVi2bNmrFq1Sp+/vlnJk+ezLRp0xgwYMAda7nTXFR3d3fc3d1TLY9PAmsGT2GNL/d0xh7wHrk5w8B6eZmy7TrxSQ/2XOundrv7RhkkISGBsLAwWrRoka1+GEL2ri2Fq6trtqwtu9YFqi0ryqy6MvocCtX3ISwsjISEBJ588knef/99atWqRadOnejevTvNmze3fZP27dvHrl27CA8PJ1++fLb9r127RqNGjfjzzz+pUqVKus7p5uZGUtKdk0WPHj3o168fn3/+eZrrN23aRP369enXr59t2dGjR9N1/hT//PMP//vf/1i8eDGVK1e2LbdarTz++OP89NNPPPvss3c9Tt68eSlcuDDbt2+3je4nJiaye/duataseU9tupuaNWuyf/9+29SUtOTOnZvHHnuM8PBwNm7cyLBhw4Dk0fP69evz1Vdfcfz4cdt86l27dpGYmMi0adNwckqe9btkyZJUx/X396dPnz706dOHkSNHMnv2bLtQvX37dluwv3r1KocOHaJChQoZVruIiIhkDoXq+1CiRAnOnz/PhQsXaNWqFU5OTkRGRtKmTRuKFCli227u3Lk8+uijqaaEQPLL/nPnzmX69OnpOmdAQAA7duzg+PHjeHp62oX0FK+88grt27fHx8cnzWOUKVOGr776ijVr1lCyZEkWLFjAzp07KVmyZPoKJ/k5zfnz56d9+/a2MJni2WefZe7cuekK1QADBw5kypQplC1blooVK/Lhhx+mmjOdEUaMGEHdunV57bXXeOWVV8iTJw8HDhxg7dq1fPzxx7btgoODbd+PW4N9UFAQ7733ni14A5QuXZrExEQ+/vhjWrZsyZYtW5g1a5bdeQcNGsTTTz9NuXLluHr1KuvWrUv1POwJEyaQP39+ChUqxOjRo/H19b2nP34jIiIiDwc9p/o+hYeHU6dOHXLlysWOHTsoWrSoXaCOj4/n66+/pm3btmnu37ZtW77++mvi4+PTdb433ngDZ2dnKlWqRIECBdL8AzMuLi74+vraTTW5VZ8+fWjTpg0dO3bkscce459//rEbtU6PefPm0bp161SBOqWmlStXcuHChXQda+jQoXTr1o3u3bvbpqO0bt36ntqTHtWqVWPDhg0cPnyYxx9/nBo1ajBmzBjb3OsUwcHBREdH06BBA7s+DAoKIjo6mvr169umXgQGBvLhhx/y3nvvUaVKFRYuXMjkyZPtjpeUlMRrr71GxYoVad68OeXLl7c9GSTFlClTGDhwILVq1eLcuXP88MMPuLm5ZXgfiIiIyIOlp3+IOEDK0z+uXr1621cW0iMqKoq8efNSe9AsrC7Z641vbs7wZibNqd6tOdUZQrVlPdm1LlBtWVFm15XyMzSjnv6hkWoREREREZMUqkVERERETNIbFUUcoHHjxg/s8YIiIiKS+TRSLSIiIiJikkK1iIiIiIhJCtUiIiIiIiYpVIuIiIiImKRQLSIiIiJikkK1iIiIiIhJCtUiIiIiIiYpVIuIiIiImKRQLSIiIiJikkK1iIiIiIhJCtUiIiIiIiYpVIuIiIiImKRQLSIiIiJikkK1iIiIiIhJCtUiIiIiIiYpVIuIiIiImKRQLSIiIiJikkK1iIiIiIhJCtUiIiIiIia5OLoBImLe6rfakT9/fkc3I0MlJCQQFhbGxomdcXV1dXRzRERE7kgj1SIiIiIiJilUi4iIiIiYpFAtIiIiImKSQrWIiIiIiEkK1SIiIiIiJilUi4iIiIiYpFAtIiIiImKSQrWIiIiIiEkK1SIiIiIiJilUi4iIiIiYpFAtIiIiImKSQrWIiIiIiEkK1SIiIiIiJilUi4iIiIiY5OLoBoiIeWemN+GGW6Kjm5GhkpzcoeoYTr9XD2drnKObk2Gya11w99qKj93ngFaJiGQOjVSLiIiIiJikUC0iIiIiYpJCtYiIiIiISQrVIiIiIiImKVSLiIiIiJikUC0iIiIiYpJCtYiIiIiISQrVIiIiIiImKVSLiIiIiJikUC0iIiIiYpJCtYiIiIiISQrVIiIiIiImKVSLiIiIiJikUC0iIiIiYpJCtYiIiIiISQrVIiIiIiImKVSLiIiIiJikUC0iIiIiYpJCtYiIiIiISQrVIiIiIiImKVSLiIiIiJikUC0iIiIiYpJCtYiIiIiISQrVkqWMGzeOwMDALHFui8XCihUrHlh7RERE5OGhUC0P1KVLl3B1dSUmJobExETy5MnDyZMnbesDAgKYMWNGprapU6dOPP3003bLfvrpJywWC2PGjLFbPnHiRIoUKQLAG2+8wa+//vpA2vTqq69isVgyvS9EREQkYyhUywO1bds2AgMD8fDwYPfu3eTLl4/ixYs7tE3BwcFs3ryZxMRE27Lw8HD8/f1Zv3693bbh4eEEBwcD4OnpSf78+TO8PStWrGDHjh228C4iIiJZj4ujGyDZ29atW2nQoAEAmzdvtn1+OydPnmTAgAH8+uuvODk50bx5cz7++GMKFSpkt92CBQsYM2YMV69e5emnn2b27Nl4eXkB0LhxY6pVq0auXLmYM2cObm5u9OnTh3HjxgHJofrff/9l165d1K1bF0gOz2+++SaDBw8mJiYGDw8P4uPj2bZtGx999BGQPP1jxYoVRERE2Noxb948pk2bxpEjR8iXLx9t27blk08+SbO2CRMm8Omnn7JmzRrbNJIzZ87Qv39/1qxZwzPPPHNPfSswaY8PV+KcHd2Me2OxEL8rBLcELzA8Hd2ajHWX2ly6dHFAozKGYRjExsayePFiLBaLo5uTYbJrXZB2bQUKFGDmzJkObplkVwrVkuFOnjxJtWrVAIiJicHZ2ZnQ0FBiY2OxWCz4+PjQpUsXPvvsM7v9DMPg+eefJ0+ePGzYsIHExET69etHx44dCQ8Pt2139OhRVqxYwcqVK7l69SodOnRgypQpvPvuu7Zt5s+fz5AhQ9ixYwfbtm2je/fuNGjQgKZNm1KuXDmKFCnC+vXrqVu3LtHR0fz++++sXLmSTz75hC1bttC0aVO2b99ObGysbaT6vz7//HOGDBnClClTePrpp7l+/TpbtmxJtZ1hGAwaNIgVK1awefNmypYtC4DVaqVr164MGzaMypUrp6tv4+LiiIuLs30dFRUFQJKTK0lOWSxc3kWSk5vdv2m5Eu/CP3FZ8AW3m9Fk2xcK71TbhQuZ2pQHITo62tFNeCCya11gX5thGCQkJDiwNRkjpYbsUMutMruujD6PQrVkuCJFihAREUFUVBS1a9dm+/bteHp6EhgYyKpVqyhevDienqlHsX755Rf++OMPjh07hr+/P5A8Il25cmV27txJnTp1gOQwGhoaahuZ7tq1K7/++qtdqK5WrRpvv/02AGXLluWTTz7h119/pWnTpkDyaHZ4eDgjR45k06ZNlCtXjgIFChAUFER4eDhNmza1TQkpXbp0mnW+8847DB06lIEDB9qWpbQxRWJiIt26dWPXrl1s2bKFYsWK2da99957uLi48Prrr6e7bydPnsz48eNTLf+r4mA8PDzSfZysZH/lEbddF78r5P+HOBGRu4uNjSUsLMzRzcgwa9eudXQTHojMqismJiZDj6dQLRnOxcWFgIAAlixZQp06dahevTpbtmyhUKFCNGrU6Lb7HThwAH9/f1ugBqhUqRI+Pj4cOHDAFlgDAgJsgRqgcOHCXLx40e5YKSPlt9smODiYQYMGkZCQQHh4OI0bNwYgKCiIjz/+GEieEvLEE0+k2daLFy9y9uxZnnzyyTv2xeDBg3F3d2f79u34+vralu/evZuZM2fy+++/39NLriNHjmTIkCG2r6OiovD396fCgen4uFnTfZysIMnJjf2VR1B5/3s4W+PT3KaQUx7ccmW9Ed9417y4JVx3dDMeiDvV5uztl8mtyVixsbHkzp3b0c3IcNm1Lkhdm6+vLy1atHBgizJGQkICa9eupWnTpri6ujq6ORkms+tKebU3oyhUS4arXLkyJ06cICEhAavViqenJ4mJiSQmJuLp6UmJEiXYv39/qv0Mw0gzYP53+X//o1ksFqxW+0B5t22Cg4O5ceMGO3fuZP369QwbNgxIDtXdunXjypUrbNu2jZdeeinNGtP7A6hp06Z88803rFmzhhdeeMG2fNOmTVy8eNHuTZtJSUkMHTqUGTNmcPz48TSP5+7ujru7e6rlztYEnK2JaeyR9Tlb43G2xqW5bnRg2ssfZklO7vxRdRDV9k28bV1Z1d1qKz52fRp7ZQ0JCQmEhYXRokWLbBdismNdkL1rS+Hq6pota8usujL6HFlviEceemFhYURERODn58fXX39NREQEVapUYcaMGURERNz2pbdKlSpx8uRJTp06ZVsWGRnJ9evXqVixYoa2sXTp0vj7+/PDDz8QERFBUFAQkDyiHRAQwLRp07h58+Zt51N7eXkREBBw10fsPffccyxatIhevXqxePFi2/KuXbvyxx9/EBERYfsoUqQIw4YNY82aNRlXqIiIiGQKjVRLhitRogTnz5/nwoULtGrVCicnJyIjI2nTps0dHxvXpEkTqlWrxgsvvMCMGTNsb1QMCgqidu3aGd7O4OBgPvvsM8qUKWP3dJGUKSClSpW64+P/xo0bR58+fShYsCBPP/000dHRbNmyhQEDBtht17p1axYsWEDXrl1xcXGhXbt25M+fP9Xj+VxdXfHz86N8+fIZW6iIiIg8cBqplgciPDycOnXqkCtXLnbs2EHRokXTDNRWqxUXl+Tf7VL+AuEjjzxCo0aNaNKkCaVKleLbb799IG0MDg4mOjraNp86RVBQENHR0bcdpU7x0ksvMWPGDD777DMqV67Ms88+y+HDh9Pctl27dsyfP5+uXbuybNmyjCpBREREHhIWwzAMRzdCcqakpCS8vb2ZP38+7dq1c3RzsqSoqCjy5s3L3tGB+LhlrznVyfNzx2S7ucfZtS64e23Fx+5zQKsyRnadn5td6wLVlhVldl0pP0OvX7+Ot7e36eNp+oc4xOnTp/nqq69ISkqiYcOGjm6OiIiIiCkK1eIQgYGB5M+fnwULFuDnl7UfsyUiIiKiUC0OcfnyZUc3QURERCTD6I2KIiIiIiImKVSLiIiIiJikUC0iIiIiYpJCtYiIiIiISQrVIiIiIiImKVSLiIiIiJikUC0iIiIiYpJCtYiIiIiISQrVIiIiIiImKVSLiIiIiJikUC0iIiIiYpJCtYiIiIiISQrVIiIiIiImKVSLiIiIiJikUC0iIiIiYpJCtYiIiIiISQrVIiIiIiImKVSLiIiIiJikUC0iIiIiYpJCtYiIiIiISS6OboCImFd08C/kz5/f0c3IUAkJCfwRFkaxEdtwdXV1dHMyTHatC7J3bSIid6ORahERERERkxSqRURERERMUqgWERERETFJoVpERERExCSFahERERERkxSqRURERERMUqgWERERETFJoVpERERExCSFahERERERkxSqRURERERMUqgWERERETFJoVpERERExCSFahERERERk1wc3QARMe/5ec9jzWV1dDMylJvFjUH+g3jqi6eIN+LZMmCLo5skIiJyWxqpFhERERExSaFaRERERMQkhWoREREREZMUqkVERERETFKoFhERERExSaFaRERERMQkhWoREREREZMUqkVERERETFKoFhERERExSaFaRERERMQkhWoREREREZMUqkVERERETFKoFhERERExSaFaRERERMQkhWoREREREZMUqkVERERETFKoFhERERExSaFaRERERMQkhWoREREREZMUqkVERERETFKoFhERERExSaFaRERERMQkhWoREREREZMUqkVERERETFKoFnmAGjduzKBBgxzdDBEREXnAFKoly7h06RKurq7ExMSQmJhInjx5OHnypN02e/bsoX379hQqVIhcuXJRrlw5XnnlFQ4dOuSgVtv7b8i+29ciIiKSNShUS5axbds2AgMD8fDwYPfu3eTLl4/ixYvb1q9cuZK6desSFxfHwoULOXDgAAsWLCBv3ryMGTMmzWMahkFiYmJmlSAiIiLZlIujGyCSXlu3bqVBgwYAbN682fY5QExMDC+//DItWrRg+fLltuUlS5bkscce49q1awCEh4cTHBzM6tWrGT16NH/88Qdr1qyhcePGTJ06lVmzZnHu3DnKlSvHmDFjaNeune1YkZGRvPHGG2zcuJE8efLw1FNPMX36dHx9fQG4ceMGffv2ZdmyZXh5efHGG29kQq9kTW4b3bDEWu68kQVCnEOwJFlwN9zpsq3LPZ+nQIECzJw58z5bKSIikn4K1fJQO3nyJNWqVQOSg7OzszOhoaHExsZisVjw8fGhS5cuNG3alMuXLzN8+PA0j+Pj42P39fDhw/nggw8oVaoUPj4+vPXWWyxbtozPP/+csmXLsnHjRl588UUKFChAUFAQ586dIygoiFdeeYUPP/yQ2NhYRowYQYcOHVi3bh0Aw4YNY/369Sxfvhw/Pz9GjRrF7t27CQwMzLD+iIuLIy4uzvZ1VFQUAG4WN6wWa4ad50Gz3LTcPVQD0URjIXm7C7EX7vk8hmGQkJBwz/s9SCntedjalRFUW9aTXesC1ZYVZXZdGX0ehWp5qBUpUoSIiAiioqKoXbs227dvx9PTk8DAQFatWkXx4sXx9PRk3rx5AFSoUCFdx50wYQJNmzYFkkeYP/zwQ9atW0e9evUAKFWqFJs3b+aLL74gKCiIzz//nJo1azJp0iTbMebNm4e/vz+HDh2iSJEizJ07l6+++sp23Pnz51OsWLGM7A4mT57M+PHjUy3vVbQXHh4eGXquBynEOYRooh/4eWJjYwkLC3vg57kfa9eudXQTHhjVlvVk17pAtWVFmVVXTExMhh5PoVoeai4uLgQEBLBkyRLq1KlD9erV2bJlC4UKFaJRo0a27QzDuKfj1q5d2/Z5ZGQkN2/etIXhFPHx8dSoUQOA3bt3s379ejw9PVMd6+jRo8TGxhIfH28L5QD58uWjfPny99Suuxk5ciRDhgyxfR0VFYW/vz9zzszBmisLjVS7WuAuvwNYsODl7EV0UjQGBoU8C93zeXx9fWnRosV9tvLBSEhIYO3atTRt2hRXV1dHNydDqbasJ7vWBaotK8rsulJe7c0oCtXyUKtcuTInTpwgISEBq9WKp6cniYmJJCYm4unpSYkSJdi/fz/lypUD4K+//rILtreTJ08e2+dWa3IYXbVqFUWLFrXbzt3d3bZNy5Ytee+991Idq3Dhwhw+fPi+a7wX7u7utjbdKt6Ix2pknVBNo7tv4mZx42X/l5lxagbxRjzfDPjmwbcrE7m6umarH4a3Um1ZT3atC1RbVpRZdWX0ORSq5aEWFhZGQkICTz75JO+//z61atWiU6dOdO/enebNm9v+Qzz11FP4+vry/vvv271RMcW1a9dSzatOUalSJdzd3Tl58iRBQUFpblOzZk2WLl1KQEAALi6p/9uUKVMGV1dXtm/fbnsiydWrVzl06NBtjykiIiLZh0K1PNRKlCjB+fPnuXDhAq1atcLJyYnIyEjatGlDkSJFbNvlyZOHOXPm0L59e5577jlef/11ypQpw+XLl1myZAknT55k8eLFaZ4j5UkdgwcPxmq10rBhQ6Kioti6dSuenp689NJLvPbaa8yePZvOnTszbNgwfH19OXLkCIsXL2b27Nl4enrSs2dPhg0bRv78+SlUqBCjR4/GyUlPrRQREckJFKrloRceHk6dOnXIlSsXmzZtomjRonaBOkWrVq3YunUrkydPpkuXLrb5xk888QTvvPPOHc8xceJEChYsyOTJk/n777/x8fGhZs2ajBo1Ckh+w+SWLVsYMWIEzZo1Iy4ujhIlStC8eXNbcJ46dSr//vsvzz33HF5eXgwdOpTr169nfIeIiIjIQ0ehWh56nTp1olOnTgA8/vjjd5y/XLt2bZYuXXrb9Y0bN07zTY0Wi4XXX3+d119//bb7li1blmXLlt12vaenJwsWLGDBggW2ZcOGDbPbJjw8/J6+FhERkaxBr02LiIiIiJikUC0iIiIiYpJCtYiIiIiISQrVIiIiIiImKVSLiIiIiJikUC0iIiIiYpJCtYiIiIiISQrVIiIiIiImKVSLiIiIiJikUC0iIiIiYpJCtYiIiIiISQrVIiIiIiImKVSLiIiIiJikUC0iIiIiYpJCtYiIiIiISQrVIiIiIiImKVSLiIiIiJikUC0iIiIiYpJCtYiIiIiISQrVIiIiIiImKVSLiIiIiJikUC0iIiIiYpKLoxsgIuat6LGC/PnzO7oZGSohIYGwsDB+fvVnXF1dHd0cERGRO9JItYiIiIiISQrVIiIiIiImKVSLiIiIiJikUC0iIiIiYpJCtYiIiIiISQrVIiIiIiImKVSLiIiIiJikUC0iIiIiYpJCtYiIiIiISQrVIiIiIiImKVSLiIiIiJikUC0iIiIiYpJCtYiIiIiISQrVIiIiIiImuTi6ASJi3va27fC0Wh3djAxluLnBgP5seboFlvj4e94/aOOGB9AqERGRtGmkWkRERETEJIVqERERERGTFKpFRERERExSqBYRERERMUmhWkRERETEJIVqERERERGTFKpFRERERExSqBYRERERMUmhWkRERETEJIVqERERERGTFKpFRERERExSqBYRERERMUmhWkRERETEJIVqERERERGTFKpFRERERExSqBYRERERMUmhWkRERETEJIVqERERERGTFKpFRERERExSqBYRERERMUmhWkRERETEJIVqERERERGTFKpFRERERExSqBYRERERMUmhWkRERETEJIVqcYhLly7h6upKTEwMiYmJ5MmTh5MnT9rW79mzh2effZaCBQuSK1cuAgIC6NixI5cvX3Zgq+/PtGnTyJs3LzExManW3bx5Ex8fHz788EMAAgICmDFjRia3UERERMxycXQDJGfatm0bgYGBeHh4sGPHDvLly0fx4sUBuHjxIk2aNKFly5asWbMGHx8fjh07xg8//JBmME2P+Ph43NzcMrKEdOvWrRsjR45k6dKldO3a1W7d0qVLiYmJSbVcUgtxdibKkv7tv+jS5Z6OX6BAAWbOnHmPrRIREUmmUC0OsXXrVho0aADA5s2bbZ+nrIuKimLOnDm4uCRfoiVLluSJJ56wO8b+/fsZPnw4mzZtwjAMAgMDCQ0NpXTp0nTv3p1r167x2GOP8fHHH+Pm5sbx48c5c+YMQ4YM4eeff8bJyYmGDRsyc+ZMAgICANi5cyejRo1iz549JCQkEBgYyPTp06lZs6btvBaLhVmzZvHjjz+ybt06SpQowbx58yhQoAC9evVi586dVKtWja+//prSpUtToEABWrZsybx581KF53nz5vHcc89RoECBdPVbXFwccXFxtq+joqIAMFxdMIx0dn4WYbi62v0bZVi5fg/7X79w4d7OZxgkJCTc0z73I+UcmXGuzKbasp7sWheotqwos+vK6PNYDCO7/SiWh9XJkyepVq0aADExMTg7O+Pu7k5sbCwWi4VcuXLRpUsXunXrRr169ViyZAnt2rXDYkk9PHnmzBmqVatG48aNGTlyJN7e3mzZsoX69etTvnx5unfvztKlS2ndujUjRozAMAxKlSpFYGAgjz/+OIMGDcLFxYV33nmH3bt388cff+Dm5sa6des4e/YstWrVApKnbqxcuZLDhw/j5eUFJIfqokWL8uGHHxIYGMiIESOIiIigVKlSDB8+nOLFi9OjRw98fHz46aefAAgLC+PZZ5/l6NGjlCxZEoDjx49TqlQpVq1axdNPPw0kT/8YNGgQgwYNSrMPx40bx/jx41MtX7RoER4eHua+QQ+5kJAQoqOjH9jxvby8ePnllx/Y8UVE5OESExNDly5duH79Ot7e3qaPp1AtmSYxMZHTp08TFRVF7dq12blzJ56engQGBrJq1SqKFy+Op6cnvr6+jB49mvfffx9vb28effRRnnjiCbp160ahQoUAGDVqFIsXL+bgwYO4/v+RzFt1796d1atXc/LkSdu0j3nz5vH+++9z4MABW1CPj4/Hx8eHFStW8NRTT6U6TlJSEo888giLFi3i2WefBZJD9VtvvcXEiRMB2L59O/Xq1WPu3Ln06NEDgMWLF/Pyyy8TGxtrO06JEiXo2bOnLRS//fbbzJ07lxMnTuDs7AzcPVSnNVLt7+/Pj02a4JnN/icbrq5E9XkV71lfYElIINSwEnUP+7sXLHhP5/P19bXNbX+QEhISWLt2LU2bNk3z2s3KVFvWk13rAtWWFWV2XVFRUfj6+mZYqNb0D8k0Li4uBAQEsGTJEurUqUP16tXZsmULhQoVolGjRnbbvvvuuwwZMoR169axfft2Zs2axaRJk9i4cSNVq1YlIiKCxx9//I7/6apWrWo3j3r37t0cOXLENuKc4ubNmxw9ehRIns89duxY1q1bx4ULF0hKSiImJsbuTZSAbcQdsAX9qlWr2i27efMmUVFReHt74+zszEsvvURoaChvv/02FouF+fPn0717d1ugTg93d3fc3d1TLbckJGKxWtN9nKzEkpCAJT6eex1DDvrmmwfSnozi6uqarX4Y3kq1ZT3ZtS5QbVlRZtWV0edQqJZMU7lyZU6cOEFCQgJWqxVPT08SExNJTEzE09OTEiVKsH//ftv2+fPnp3379rRv357JkydTo0YNPvjgA+bPn0/u3Lnver48efLYfW21WqlVqxYLFy5MtW3KnObu3btz6dIlZsyYQYkSJXB3d6devXrEx8fbbX/rf8SUUe+0lllvCbo9evRg8uTJrFu3DkieDqPpBiIiItmDQrVkmrCwMBISEnjyySd5//33qVWrFp06daJ79+40b978jr8xurm5Ubp0aW7cuAEkjxTPnz+fhISEdP+mWbNmTb799lsKFix425d5Nm3axGeffUaLFi0AOHXqVIY9xq906dIEBQUREhKCYRg0btyY0qVLZ8ixRURExLH0nGrJNCVKlMDT05MLFy7QqlUrihcvTmRkJG3atKFMmTKUKFECgJUrV/Liiy+ycuVKDh06xMGDB/nggw8ICwujVatWAPTv35+oqCg6derErl27OHz4MAsWLODgwYO3Pf8LL7yAr68vrVq1YtOmTRw7dowNGzYwcOBATp8+DUCZMmVYsGABBw4cYMeOHbzwwgvpGhVPr549e7Js2TKWL19Oz549M+y4IiIi4lgK1ZKpwsPDqVOnDrly5WLHjh0ULVqUIkWK2G1TqVIlPDw8GDp0KIGBgdStW5clS5YwZ84c2yPp8ufPz7p16/j3338JCgqiVq1azJ49+46j1h4eHmzcuJHixYvTpk0bKlasSI8ePYiNjbWNXM+bN4+rV69So0YNunbtyuuvv07Be3zD2520bdvWNi+6TZs2GXZcERERcSxN/5BM1alTJzp16gTA448/zuHDh1NtU6pUKb788su7HqtatWqsWbMmzXWhoaFpLvfz82P+/Pm3PWaNGjXYuXOn3bJ27drZff3fB+YEBASkWta4ceNUywBy587NtWvXbnv+48eP33adiIiIPLw0Ui0iIiIiYpJCtYiIiIiISQrVIiIiIiImKVSLiIiIiJikUC0iIiIiYpJCtYiIiIiISQrVIiIiIiImKVSLiIiIiJikUC0iIiIiYpJCtYiIiIiISQrVIiIiIiImKVRngtDQUCwWC6GhoY5uioiIiIg8APccqo8fP47FYqF58+Zprn///fexWCyUKlWKo0ePmm6giIiIiMjDLkNHqkeOHMmIESOoXLkymzdvpnTp0hl5eBERERGRh5JLRhzEarXSr18/vvjiCx577DHCwsLIly9fRhxaREREROShZ3qkOiEhgS5duvDFF1/QpEkTfvnlF7tAHR8fz4cffkjNmjXJkycPXl5ePP744/zwww92x3nppZewWCzs3LkzzfMMHz4ci8XC8uXLsVqt5MuXj8DAQLttLl26hJOTExaLhc2bN9ut69ixIxaLhQsXLtgtnz9/PnXr1sXT0xNPT0/q1q3L/PnzU50/PDwci8XCuHHj2LZtG82aNcPHxweLxWLb5sqVK/Tp04dChQrh4eFBnTp1WL58ebr6UURERESyLlOhOiYmhlatWvHtt9/Spk0bVq1ahaenp219XFwczZo1Y+jQoQD07NmTF198kRMnTtCqVSs++eQT27avvvoqALNnz051noSEBL766iv8/Pxo2bIlTk5OBAUF8ccff/DPP//YtgsPD8cwDADWr19vd4wNGzZQsWJFChUqZFs2ePBgunfvzunTp+nZsye9evXizJkzdO/enSFDhqRZ89atWwkKCgKgd+/edOzY0dYXjRs35osvvqB06dIMHDiQ8uXL07FjR77//vv0d6qIiIiIZDn3Pf3j+vXrPPXUU2zZsoUePXrw5Zdf4uzsbLfNhAkTCA8PZ9y4cYwdO9Y2qhsdHc0TTzzB0KFDadOmDUWKFKF+/fpUqVKFxYsXM336dPLkyWM7zsqVK7lw4QIjRozAxSW5ycHBwaxYsYINGzbQpk0bIDlI+/j4UKpUKdavX8+YMWMAiIyM5MKFC7Rt29Z2zE2bNjFjxgwqVqzItm3byJs3LwDjx4+nbt26TJ8+nTZt2tCwYUO7mtauXcvcuXPp0aOH3fL333+fffv28corr/Dll1/alnfr1o1mzZrdbzeLiIiISBZw3yPV27dvZ8uWLdSrV4+5c+emCtRWq5XPP/+cMmXK2AVqAC8vL8aOHUt8fDzLli2zLe/duzfR0dF8++23dseaM2cOFouFXr162ZY1btwYgHXr1tmWrV+/nqCgIJo0acK2bdu4efOmbfmt+wC2x9uNGzfOFqgB8ubNy9tvv223za1q1KiRKlADfPXVV7i5uTFhwgS75U899RRPPvlkqu1FREREJPu471BdqVIlihQpwrZt21IFSYCDBw9y9epV3N3dGT9+POPGjbP7WL16NQB//fWXbZ+uXbuSO3du5syZY1t25swZ1qxZQ1BQEGXKlLEtr1q1Kr6+vrbAfP78ef766y+Cg4MJDg7m5s2bbNu2DUgO1RaLxS5U79mzB7AP2ilSlkVERKRa9+ijj6ZaFh0dzbFjxyhTpgx+fn6p1j/++OOplomIiIhI9nHf0z/8/f353//+R3BwMG+//TZWq5Vx48bZ1l+5cgWA/fv3s3///tse58aNG7bPfXx86NChA/PnzycyMpJKlSoREhJCUlISr7zyit1+FouFoKAgli5dyoULF2zhOjg4mFKlSuHi4sL69etp3LgxGzZsoHLlyhQoUMC2f1RUFE5OTnbLUhQqVAgnJyeuX7+e5rr/StmuYMGCadaY1j4iIiIikn2YeqNimTJlCA8Px9/fn/Hjx9umTQB4e3sD0LZtWwzDuO1HSEiI3TFT3rA4Z84c2/p8+fLZ5k3fKjg4GEh+g2J4eDi+vr5UrVoVT09P6tSpw/r16/nzzz+5fPmybdtb22e1Wrl06VKq4168eBGr1Wqr4Va3TmP5b60XL15Ms5/++8QREREREcleTD+nunTp0mzYsIHg4GAmTJiA1Wpl4sSJVKxYEW9vb3bt2kVCQgKurq7pOl69evWoWrUqCxYsoEmTJvz999+8/vrr5MqVK9W2t86rThmVTgm9TzzxBO+//z4rV6602zZFjRo12LNnD+Hh4XTo0MFu3YYNGwBSPbLvdry9vSlZsiRHjhzh/PnzqaaAbNq0KV3HEblfdZd+T/78+R3djAyVkJBAWFgYDX4KS/f9Q0RExFEy5C8qlixZkvDwcAICAnjnnXcYPXo0Li4u9O3blxMnTvDGG2+QkJCQar8///wzzdHd3r17c/nyZduUj1vfoHirypUrU7BgQZYvX87hw4ftRqODg4NJSEhg+vTptqkit3rppZeA5Kd9REVF2ZZHRUUxfvx4u23So2vXrsTHxzN27Fi75T///DO//vpruo8jIiIiIllPhvxFRYCAgADbiPWkSZOwWq2MHz+e33//nY8++ohVq1YRFBREgQIFOHPmDPv27WPv3r1s27Yt1Vzkrl27MmLECM6ePctjjz1G1apVb3vexo0bs2TJEgC7UF2/fn3c3d25dOkS1atXTzWK16hRIwYMGMDHH39MlSpVbNNUli1bxqlTp3j99ddp1KhRuusfPnw4y5YtY/bs2ezfv59GjRpx6tQplixZwjPPPMOqVavSfSwRERERyVoyZKQ6RfHixQkPD6d06dJMmTKFsWPH8tNPP/HFF1/g5+fH999/z4wZM9i4cSOFCxfm888/TzMw582bl1atWgGkeoPif6UE6UKFClGxYkXb8ty5c/PYY48BaT/hA+Cjjz5i3rx5+Pn58eWXXzJ79mz8/PyYN28eM2fOvKfa8+TJw4YNG+jduzeHDx9mxowZ/PXXX3z77be0a9funo4lIiIiIlnLPY9UBwQE2P5qYVr8/f05cuSI3bLevXvTu3fvezrP3r178fT0tP3Fwtvp06cPffr0SXNdytzoO3n55Zd5+eWX77pd48aN71g3QL58+fjiiy/44osvUq3r3r37Xc8hIiIiIllTho5UZ5SwsDAiIyPp2rWr3Z89FxERERF5GGXYnOqM8Pnnn3Pq1Clmz55N7ty5GT58uKObJCIiIiJyVw9VqH7vvfc4ffo05cuX57333iMgIMDRTRIRERERuauHKlQfP37c0U0QEREREblnD+WcahERERGRrEShWkRERETEJIVqERERERGTFKpFRERERExSqBYRERERMUmhWkRERETEpIfqkXoicn9CJqwll0seRzcjQ1mcDYo1gC9H/4SRZHF0czJMdq0LcmZt/ae1dGCrRORhopFqERERERGTFKpFRERERExSqBYRERERMUmhWkRERETEJIVqERERERGTFKpFRERERExSqBYRERERMUmhWkRERETEJIVqERERERGTFKpFRERERExSqBYRERERMUmhWkRERETEJIVqERERERGTFKpFRERERExSqBYRERERMUmhWkRERETEJIVqERERERGTFKpFRERERExSqBYRERERMUmhWkRERETEJIVqERERERGTFKpFRERERExSqBYRERERMUmhWh56jRs3ZtCgQY5uhoiIiMhtKVT/x6VLl3B1dSUmJobExETy5MnDyZMnbesDAgKwWCxYLBZy585NQEAAHTp0YN26dQ5s9cNj0qRJODs7M2XKlAd2jsaNG9u+B+7u7hQtWpSWLVuybNmyB3ZOERERkTtRqP6Pbdu2ERgYiIeHB7t37yZfvnwUL17cbpsJEyZw7tw5Dh48yFdffYWPjw9NmjTh3XffdVCrHx4hISEMHz6cefPmPdDzvPLKK5w7d44jR46wdOlSKlWqRKdOnejdu/cd90tISHig7RIREZGcycXRDXjYbN26lQYNGgCwefNm2+e38vLyws/PD4DixYvTqFEjChcuzNixY2nXrh3ly5cnNDSUQYMGce3aNdt+K1asoHXr1hiGAcC4ceNYsWIFQ4cOZcyYMVy9epWnn36a2bNn4+XlBUB0dDR9+vRhxYoVeHt7M3z4cP73v/8RGBjIjBkzAIiPj+ett95i4cKFXLt2jSpVqvDee+/RuHFj27mXLl3K2LFjOXLkCIULF2bAgAEMHTrUtj4gIIDevXtz5MgRvvvuOx555BHeeustW0iNj49nyJAhLF26lKtXr+Ln58err77KyJEjbcfYsGEDsbGxTJgwga+++oqNGzfSqFEj2/r01Hvjxg369u3LsmXL8PLy4o033kjz++Th4WH7Hvj7+1O3bl0qVKhAjx496NChA02aNOH48eOULFmSb7/9ls8++4zt27fz+eef89xzz9G/f382bdrElStXKF26NKNGjaJz586246en369evcrAgQP58ccfiYuLIygoiI8++oiyZcsC2K6Bb7/9lkGDBnHq1CkaNmxISEgIhQsXBiA8PJzhw4ezf/9+XF1dqVy5MosWLaJEiRJp1i1Zx4bDS7gZH516hQWcD0FSHGBkerMerBxY29Yu3zisSRnBMAxiY2NZvHgxFovF0c3JUKotWYECBZg5c2YmtSxnU6gGTp48SbVq1QCIiYnB2dmZ0NBQYmNjsVgs+Pj40KVLFz777LPbHmPgwIFMnDiR//3vfwwfPjzd5z569CgrVqxg5cqVXL16lQ4dOjBlyhTbqPeQIUPYsmULP/zwA4UKFWLs2LH8/vvvBAYG2o7x8ssvc/z4cRYvXkyRIkVYvnw5zZs3Z9++fZQtW5bdu3fToUMHxo0bR8eOHdm6dSv9+vUjf/78dO/e3XacadOmMXHiREaNGsX3339P3759adSoERUqVOCjjz7ihx9+YMmSJRQvXpxTp05x6tQpu1rmzp1L586dcXV1pXPnzsydO9cuVKen3mHDhrF+/XqWL1+On58fo0aNYvfu3Xb13s5LL73E0KFDWbZsGU2aNLEtHzFiBNOmTSMkJAR3d3du3rxJrVq1GDFiBN7e3qxatYquXbtSqlQpHnvssXT3e/fu3Tl8+DA//PAD3t7ejBgxghYtWhAZGYmrqyuQfD198MEHLFiwACcnJ1588UXeeOMNFi5cSGJiIs8//zyvvPIK33zzDfHx8fz22293vEHGxcURFxdn+zoqKgoAi7OBxTl7pZiUerJqXTcToolJSCNUA8RnblsyVQ6rLebCbb7HWUx0dPaoIy05vTbDMLLMq7Qp7cys9mb0eRSqgSJFihAREUFUVBS1a9dm+/bteHp6EhgYyKpVqyhevDienp53PEa+fPkoWLAgx48fv6dzW61WQkNDbSO1Xbt25ddff+Xdd98lOjqa+fPns2jRIp588kkgeXpFkSJFbPsfPXqUb775htOnT9uWv/HGG6xevZqQkBAmTZrEhx9+yJNPPsmYMWMAKFeuHJGRkUydOtUuVLdo0YJ+/foByUF0+vTphIeHU6FCBU6ePEnZsmVp2LAhFosl1UhqVFQUS5cuZevWrQC8+OKLNGjQgI8//hhvb+901fvvv/8yd+5cvvrqK5o2bQrA/PnzKVasWLr60snJiXLlyqX6HgwaNIg2bdrYLbt1BHzAgAGsXr2a7777jsceeyxd/Z4Sprds2UL9+vUBWLhwIf7+/qxYsYL27dsDyf9hZ82aRenSpQHo378/EyZMsPXZ9evXefbZZ23rK1aseMcaJ0+ezPjx41MtL1IHPDyyZvi8m6J1ISsOezofInsHTBHJEmJjYwkLC3N0M+7J2rVrM+U8MTExGXo8hWrAxcWFgIAAlixZQp06dahevTpbtmyhUKFCqUZa78QwjHt+iSkgIMAWMAEKFy7MxYsXAfj7779JSEjg0Ucfta3Pmzcv5cuXt339+++/YxgG5cqVsztuXFwc+fPnB+DAgQO0atXKbn2DBg2YMWMGSUlJODs7A9hG6wEsFgt+fn62tnTv3p2mTZtSvnx5mjdvzrPPPstTTz1l237RokWUKlWK6tWrAxAYGEipUqVYvHix3TznO9V79OhR4uPjqVevnm19vnz57Oq9m7S+B7Vr17b7OikpiSlTpvDtt99y5swZ2+hvnjx5gPT1+4EDB3BxcbGNbAPkz5+f8uXLc+DAAdsyDw8PW2D+b7358uWje/fuNGvWjKZNm9KkSRM6dOhgmxqSlpEjRzJkyBDb11FRUfj7+3N2J+RyyV4vb1qcDYrWhTPbwUjKerW5WT3xcEt7nbP7/59GkA3ltNo8fXI7pjEZKDY2lty5s34daVFt4OvrS4sWLTKhReYlJCSwdu1amjZtanvF90FKebU3oyhUA5UrV+bEiRMkJCRgtVrx9PQkMTGRxMREPD09KVGiBPv377/jMf755x8uXbpEyZIlgeRR05S50ynSepnhvxeNxWLBarUC2Pb/b0i89bhWqxVnZ2d2795tC8cpUkbX0wqa/23b3dpSs2ZNjh07xk8//cQvv/xim7f8/fffAzBv3jz279+Pi8v/XVJWq5W5c+faher01Hu/kpKSOHz4MHXq1LFbnhKWU0ybNo3p06czY8YMqlatSp48eRg0aBDx8fF27bhTn92urf/t67TqvXXfkJAQXn/9dVavXs23337LW2+9xdq1a6lbt26ax3d3d8fd3T31eZMsGNlszmAyI7m2LBiqG5XtmOZyi7NBsQYGp7dkzbruJCfW1n9aSwe2yryEhATCwsJo0aJFpoSYzKTasi5XV9dMqSujz6GnfwBhYWFERETg5+fH119/TUREBFWqVGHGjBlERESk62WTmTNn4uTkxPPPPw8kvzEgOjqaGzdu2LaJiIi4p3aVLl0aV1dXfvvtN9uyqKgoDh8+bPu6Ro0aJCUlcfHiRcqUKWP3kfJGvkqVKrF582a7Y2/dupVy5cqlCuJ34u3tTceOHZk9ezbffvstS5cu5cqVK+zbt49du3YRHh5ORESE7WPjxo3s3LmTP//8M13HL1OmDK6urmzfvt227OrVqxw6dChd+8+fP5+rV6/Stm3bO263adMmWrVqxYsvvkj16tUpVaqUXZ+mp98rVapEYmIiO3bssC37559/OHTo0F2ncPxXjRo1GDlyJFu3bqVKlSosWrTonvYXERERx9NINVCiRAnOnz/PhQsXaNWqFU5OTkRGRtKmTRu7ebQpoqOjOX/+PAkJCRw7doyvv/6aOXPmMHnyZMqUKQPAY489hoeHB6NGjWLAgAH89ttvhIaG3lO7vLy8eOmllxg2bJhtzvbbb7+Nk5OTbTS0XLlyvPDCC3Tr1o1p06ZRo0YNLl++zLp166hatSotWrRg6NCh1KlTh4kTJ9KxY0e2bdvGJ598csc3Xv7X9OnTKVy4MIGBgTg5OfHdd9/h5+eHj48PEyZM4NFHH01zqky9evWYO3cu06dPv+s5PD096dmzJ8OGDSN//vwUKlSI0aNH4+SU+ne/mJgYzp8/T2JiImfOnGHZsmVMnz6dvn37EhwcfMfzlClTxjb/+5FHHuHDDz/k/PnztjCcnn4vW7YsrVq14pVXXuGLL77Ay8uLN998k6JFi6aaanM7x44d48svv+S5556jSJEiHDx4kEOHDtGtW7d07S8iIiIPD41U/3/h4eHUqVOHXLlysWPHDooWLZpmoAYYO3YshQsXpkyZMnTt2pXr16/z66+/MmLECNs2+fLl4+uvvyYsLIyqVavyzTffMG7cuHtu14cffki9evV49tlnadKkCQ0aNKBixYrkypXLtk1ISAjdunVj6NChlC9fnueee44dO3bg7+8PJE/dWLJkCYsXL6ZKlSqMHTuWCRMm2L1J8W48PT157733qF27NnXq1OH48eOEhYWRmJjI119/fdvR4bZt2/L111/bplbczdSpU2nUqBHPPfccTZo0oWHDhtSqVSvVdrNnz6Zw4cKULl2a1q1bExkZaXt03t2MGTOGmjVr0qxZMxo3boyfn5/tFYYU6e33WrVq8eyzz1KvXj0MwyAsLCzdLyd5eHjw119/0bZtW8qVK0fv3r3p378/r776arr2FxERkYeHxTA7kVUy1Y0bNyhatCjTpk2jZ8+ejm5OjvGw9ntUVBR58+Zl6uvfkMslz913yEKy6/zc7FoX5MzaNKf64aXasp7MrivlZ+j169ftnlR2vzT94yG3Z88e/vrrLx599FGuX79uexxbeqcYyP1Rv4uIiMi9UKjOAj744AMOHjyIm5sbtWrVYtOmTfj6+jq6Wdme+l1ERETSS6H6IVejRg12797t6GbkOOp3ERERuRd6o6KIiIiIiEkK1SIiIiIiJilUi4iIiIiYpFAtIiIiImKSQrWIiIiIiEkK1SIiIiIiJilUi4iIiIiYpFAtIiIiImKSQrWIiIiIiEkK1SIiIiIiJilUi4iIiIiYpFAtIiIiImKSQrWIiIiIiEkK1SIiIiIiJilUi4iIiIiYpFAtIiIiImKSQrWIiIiIiEkK1SIiIiIiJilUi4iIiIiY5OLoBoiIeS+PbUr+/Pkd3YwMlZCQQFhYGL3ffRpXV1dHNyfDZNe6QLWJSM6mkWoREREREZMUqkVERERETFKoFhERERExSaFaRERERMQkhWoREREREZMUqkVERERETFKoFhERERExSaFaRERERMQkhWoREREREZMUqkVERERETFKoFhERERExSaFaRERERMQkhWoREREREZMUqkVERERETHJxdANExLyPBryKWzb7FdnJxZVKrTvxwSvdsCYmOLo5GSa71gWqLaOM/vr7B3p8EXkwstmPYRERERGRzKdQLSIiIiJikkK1iIiIiIhJCtUiIiIiIiYpVIuIiIiImKRQLSIiIiJikkK1iIiIiIhJCtUiIiIiIiYpVIuIiIiImKRQLSIiIiJikkK1iIiIiIhJCtUiIiIiIiYpVIuIiIiImKRQLSIiIiJikkK1iIiIiIhJCtUiIiIiIiYpVIuIiIiImKRQLSIiIiJikkK1iIiIiIhJCtUiIiIiIiYpVIuIiIiImKRQLSIiIiJikkK1iIiIiIhJCtUiIiIiIiYpVN+H8PBwLBYL165dc3RTsq0vv/wSf39/nJycmDFjRrr2CQgISPe2jhIaGoqPj4+jmyEiIiIZLEeG6kuXLuHq6kpMTAyJiYnkyZOHkydP2tbv2bOHZ599loIFC5IrVy4CAgLo2LEjly9fdmCrM0bKLwT//Xjrrbce+LmTkpKYPn061apVI1euXPj4+PD000+zZcsWu+2ioqLo378/I0aM4MyZMyxatCjNNqd8BAQEZGg7o6KiGDNmDJUrVyZ37tzkz5+fOnXq8P7773P16tUMPZeIiIhkDy6OboAjbNu2jcDAQDw8PNixYwf58uWjePHiAFy8eJEmTZrQsmVL1qxZg4+PD8eOHeOHH34gJibGwS3POAcPHsTb29v2taen530dJykpCYvFgpPTnX8/MwyDTp068csvvzB16lSefPJJoqKi+PTTT2ncuDHfffcdzz//PAAnT54kISGBZ555hsKFC7N69Wri4+MBOHXqFI8++ii//PILlStXBsDZ2fm+2p6WK1eu0LBhQ6Kiopg4cSK1atXCzc2NI0eOsGjRIhYtWsRrr72WYecTERGR7CFHhuqtW7fSoEEDADZv3mz7PGVdVFQUc+bMwcUluXtKlizJE088keo4u3fvZsSIEURGRhIYGEhISAjly5cH4OjRowwZMoTt27dz48YNKlasyOTJk2nSpAmQPGIcHByc6pgvvfQSoaGhd90fkqc79OrVi0OHDrFs2TLy58/PRx99RP369enVqxe//vorJUuWJCQkhNq1a9udp2DBgqmmIaS06erVq7Z1ERER1KhRg2PHjhEQEEBoaCiDBg3i66+/Zvjw4Rw6dIhff/2VJk2acOrUKfz8/GzHGzp0KDt37mTjxo0sWbKE77//nh9++IGWLVvatvnyyy/5559/6NWrF02bNuW7777j5ZdfBqBUqVIAtnMD3Lx5E4D8+fPbnStFTEwMPXr04LvvvuORRx7hrbfeonfv3rb1Z86cYciQIfz88884OTnRsGFDZs6caTv+qFGjOHnyJAcPHqRo0aK2/SpUqMCzzz6LYRi2ZVevXmXgwIH8+OOPxMXFERQUxEcffUTZsmVt24SGhjJ27FguX75Ms2bNaNiwoV179+7dy6BBg9i1axcWi4WyZcvyxRdfpPp+SbLdl6OIsxp33/AhtyMkhISYG45uxgOh2szr0qXLAz9HCsMwiI2NZfHixVgslkw7b2ZQbVnP3eoqUKAAM2fOdEDL0ifHhOqTJ09SrVo1IDl4OTs7ExoaSmxsLBaLBR8fH7p06UK3bt1ITExk+fLltGvX7o4X6+jRo5k2bRoFChSgT58+9OjRwzaV4d9//6VFixa888475MqVi/nz59OyZUsOHjxI8eLFqV+/PufOnbMd68CBA7Ro0YJGjRqla/8U06dPZ9KkSYwZM4bp06fTtWtXGjRoQI8ePZg6dSojRoygW7du7N+/P8P+48XExDB58mTmzJlD/vz5KVasGKVKlWLBggUMGzYMgMTERL7++mumTJkCwKJFiyhXrpxdoE4xdOhQli1bxtq1a+nYsSP+/v40adKE3377DX9/fwoUKJDutk2bNo2JEycyatQovv/+e/r27UujRo2oUKECMTExBAcH8/jjj7Nx40ZcXFx45513aN68OX/88QcuLi58++23vPjii3aB+la39mH37t05fPgwP/zwA97e3owYMYIWLVoQGRmJq6srO3bsoEePHkyaNIk2bdqwevVq3n77bbvjvfDCC9SoUYPPP/8cZ2dnIiIicHV1vW19cXFxxMXF2b6OiooCwMnF+a6vFmQ1Tv//l9qUfwHirAY3k6yOalKGuRkd7egmPDCqLQPOc+FCppznVtHZ+Pum2rKe29VlGAYJCQkZdp6MPBbkoFBdpEgRIiIiiIqKonbt2mzfvh1PT08CAwNZtWoVxYsXx9PTE19fX0aNGkWXLl3o06cPjz76KE888QTdunWjUKFCdsd89913CQoKAuDNN9/kmWee4ebNm+TKlYvq1atTvXp127bvvPMOy5cv54cffqB///64ubnZRlr/+ecfXnnlFXr06EGPHj0A7rp/ihYtWvDqq68CMHbsWD7//HPq1KlD+/btARgxYgT16tXjwoULdiO7xYoVs6vlxIkT6e7LhIQEPvvsM7v29ezZk5CQEFuoXrVqFTExMXTo0AGAQ4cOUbFixTSPl7L80KFDPP/88+TPnx9I/o00rdHoO2nRogX9+vUDkmufPn064eHhVKhQgcWLF+Pk5MScOXNs4TgkJAQfHx/Cw8OpXr06165ds73akKJWrVocPHgQgJYtW/LNN9/YwvSWLVuoX78+AAsXLsTf358VK1bQvn17Zs6cSbNmzXjzzTcBKFeuHFu3bmX16tW2Y588eZJhw4ZRoUIFALtR7rRMnjyZ8ePHp1pe7unn8fDwuKe+yioqtGxn+3xHSEi2Dm0iInJ7sbGxhIWFZdjxMnpab44J1S4uLgQEBLBkyRLq1KlD9erV2bJlC4UKFbKNDqd49913GTJkCOvWrWP79u3MmjWLSZMmsXHjRqpWrWrbLmXkG6Bw4cJA8pzs4sWLc+PGDcaPH8/KlSs5e/YsiYmJxMbG2r0hEpIDatu2bSlevLjdSxrp3f/WNqSE/lvbmLLs4sWLdgF106ZNeHl52b5+5JFH0tmT4ObmZndeSB61feutt9i+fTt169Zl3rx5dOjQgTx58qT7uBkxkn5ruywWC35+fly8eBFInq5z5MgRu7oheUrJ0aNHbb8k/Lcdy5cvJz4+nhEjRhAbGwskv7Lg4uLCY489Ztsuf/78lC9fngMHDti2ad26td2x6tWrZxeqhwwZQq9evViwYAFNmjShffv2lC5d+rb1jRw5kiFDhti+joqKwt/fn0M/rcAtG45UV2jZjr9+/B5rYmLysrib5HLO4nVaLLjm9iAhNgaMrD+VxY5qyxDe+X0f6PH/KzY2lty5c2fqOTOLast67lSXr68vLVq0yLBzpbzam1FyTKiuXLkyJ06cICEhAavViqenJ4mJiSQmJuLp6UmJEiXYv3+/bfv8+fPTvn172rdvz+TJk6lRowYffPAB8+fPt21z68v0KUHMak1+aXrYsGGsWbOGDz74gDJlypA7d27atWtne8Ndir59+3Ly5El27txpm8N9L/un1YY7tStFyZIlU82pTpk+cOu84bReGsmdO3eq4FmwYEFatmxJSEgIpUqVIiwsjPDwcNv6cuXKERkZmepYgC2E3m2UNj3+O3XCYrHYardardSqVYuFCxem2q9AgQJ4eXnh4+PDX3/9ZbcuZbqNl5eX7TGKxm1+qBqGYeub221zq3HjxtGlSxdWrVrFTz/9xNtvv83ixYtThfEU7u7uuLu7p1puTUzC6pR01/NlRdbERKyJyddhrfz394bah4mTiyuVWncicvliW13ZhWrLGKO//uaBHv9WCQkJhIWF0aJFiztOPcuKVFvWk9l1ZfQ5sviQT/qFhYURERGBn58fX3/9NREREVSpUoUZM2YQERFxx5cT3NzcKF26NDdupP8NKps2baJ79+60bt2aqlWr4ufnx/Hjx+22+fDDD/n222/54YcfbFMe7mX/jJYyd/nWud4RERHp3r9Xr14sXryYL774gtKlS9u9AbRTp04cPnyYH3/8MdV+06ZNI3/+/DRt2vT+G58ONWvW5PDhwxQsWJAyZcrYfeTNmxcnJyc6dOjA119/zZkzZ+54rEqVKpGYmMiOHTtsy/755x+7aS6VKlVi+/btdvv992tI/oVj8ODB/Pzzz7Rp04aQkJAMqFZEREQyU44J1SVKlMDT05MLFy7QqlUrihcvTmRkJG3+X3t3HhdVubgB/Bl2lGFRXEAUTCAVFbBQEcQtQjEjc0dNzd0kQ0uvuWG5lGjizyy7mmsq4VoJ5jXBfQkXCMUlUEAEF9xQdpj394eXuY6ggocc5vh8Px8/yjlnznmfGWAeDu85vv8+HB0dYW9vDwDYtWsXBg8ejF27duHSpUu4ePEiFi1ahKioKAQEBFT4eI6Ojti+fTvi4uIQHx+PwMBAjbPFf/zxB6ZMmYJFixbB2toa169fx/Xr13H//v0KPf6f4OjoiIYNGyIkJASXLl1CZGQkFi9eXOHH+/n5wcLCAnPnzlXfwaPUgAED0KtXLwwdOhQ//vgjUlJS8Ndff2HMmDH49ddfsWrVqkpNFXkRgwYNgrW1NQICAnDo0CFcuXIFBw4cwMSJE5Geng4AmD9/Pho0aIC2bdti9erV+Ouvv5CcnIwdO3bg2LFj6tv3OTk5ISAgAKNGjcLhw4cRHx+vvsCx9PPk448/xu+//46FCxfi0qVL+PbbbzWmfuTl5WHChAnYv38/UlNTceTIEcTGxj517jkRERFVX69MqQYe3TLOw8MDJiYmOHHiBBo0aABbW1uNbZo3b44aNWpg8uTJcHNzQ7t27RAREYFVq1ZhyJAhFT7WkiVLYGVlhfbt26Nnz57w8/ND69at1esPHz6MkpISjB07FjY2Nuo/EydOrNDj/wmGhobYvHkzLly4AFdXV3z99deYO3duhR+vp6eHYcOGoaSkBB988IHGOoVCgYiICEyfPh1LlixB06ZN0aFDB6SmpiImJkZ9j+p/Uo0aNXDw4EE0atQI77//Ppo1a4YPP/wQeXl56nt2165dG3/++Sc++OADhIaGok2bNmjZsiVCQkLQv39/rFy5Ur2/NWvW4I033sA777wDT09PCCEQFRWl/nVSu3btsGrVKixbtgxubm74z3/+o/Gf7Ojr6+P27dv44IMP4OzsjH79+qF79+7lXohIRERE1ZtCVGTiJ1EFjRo1Cjdu3MCvv/6q7aG8ErKzs2FhYYFZA3vDSGY/Ist1fq5ccwHMVlWm/7T1H93/4+Q6NxdgNl30snOVvofev39f4z/Ee1GvzIWK9M+6f/8+YmNjsXHjRvzyyy/aHg4RERHRS8VSTVUiICAAf/75J8aMGfOPX3BIREREVN2wVFOVePz2eURERESvGpnNwiQiIiIievlYqomIiIiIJGKpJiIiIiKSiKWaiIiIiEgilmoiIiIiIolYqomIiIiIJGKpJiIiIiKSiKWaiIiIiEgilmoiIiIiIolYqomIiIiIJGKpJiIiIiKSiKWaiIiIiEgilmoiIiIiIolYqomIiIiIJGKpJiIiIiKSiKWaiIiIiEgilmoiIiIiIolYqomIiIiIJGKpJiIiIiKSyEDbAyAi6T5e9gNq166t7WFUqaKiIkRFReHTlethaGio7eFUGbnmApiNiF5tPFNNRERERCQRSzURERERkUQs1UREREREErFUExERERFJxFJNRERERCQRSzURERERkUQs1UREREREErFUExERERFJxFJNRERERCQRSzURERERkUQs1UREREREErFUExERERFJxFJNRERERCQRSzURERERkUQG2h4AEUn39/8dwU0jM20Po0qV6AmgOXBx0UHoqxRaGUOz6V20clwiItI9PFNNRERERCQRSzURERERkUQs1UREREREErFUExERERFJxFJNRERERCQRSzURERERkUQs1UREREREErFUExERERFJxFJNRERERCQRSzURERERkUQs1UREREREErFUExERERFJxFJNRERERCQRSzURERERkUQs1UREREREErFUExERERFJxFJNRERERCQRSzURERERkUQs1UREREREErFUExERERFJxFJNRERERCQRSzURERERkUQs1UREREREErFUkyyEhITAzc1N28MgIiKiVxRLNT3TrVu3YGhoiNzcXBQXF6NmzZpIS0vT2ObMmTPo27cv6tWrBxMTEzg7O2PUqFG4dOnSSxvnp59+in379lXpPvfv3w+FQqH+Y2pqChcXF/z73/+u0uMQERGR7mOppmc6duwY3NzcUKNGDZw6dQq1atVCo0aN1Ot37dqFdu3aoaCgABs3bsT58+exYcMGWFhYYObMmS9tnGZmZqhdu/Y/su+LFy8iMzMTiYmJGDNmDMaNG1flBf5JhYWF/+j+iYiIqGoZaHsAVL0dPXoUXl5eAIDDhw+r/w0Aubm5GD58OPz9/bFjxw718saNG6Nt27a4d++eetmBAwfw2WefIT4+HrVq1cLQoUMxd+5cGBg8+hRUqVQIDQ3FypUrcfXqVdSrVw9jxozB9OnTAQBTp07Fjh07kJ6ejvr162PQoEGYNWsWDA0NATya/rFz507ExcUBAIYNG4Z79+7B29sbixcvRmFhIQYMGICwsDD1YwoLCzFjxgxs3LgR9+7dQ4sWLfD111+jU6dOGs9B3bp1YWlpCQD4+OOPsXTpUpw+fRpdu3YFAAghEBoaihUrViAzMxPOzs6YOXMm+vTpAwAoKSnB6NGjER0djevXr6NRo0YYP348Jk6cqD5G6Xjbtm2LZcuWwcjICCkpKRJeuVfXN6fW4V7BgyrZl2HgqirZT506dbB06dIq2RcREVVPLNVURlpaGlq1agXgUXHW19fH2rVrkZeXB4VCAUtLSwQGBsLX1xdZWVmYMmVKufspLaLXrl2Dv78/hg0bhvXr1+PChQsYNWoUTExMEBISAgCYNm0aVq5ciSVLlsDb2xuZmZm4cOGCel9KpRJr166Fra0tEhISMGrUKCiVyqceGwBiYmJgY2ODmJgYJCUloX///nBzc8OoUaMAAMOHD0dKSgrCw8Nha2uLHTt2oFu3bkhISICTk1OZ/QkhsGfPHly9ehVt27ZVL58xYwa2b9+O77//Hk5OTjh48CAGDx6MOnXqoGPHjlCpVLCzs0NERASsra1x9OhRjB49GjY2NujXr596P/v27YO5uTn27t0LIUS5mQoKClBQUKD+ODs7GwCg0hMo0Sv/MbpK9d88qkrmulfwAHfy71fNIKpoP0IIFBUVAUCZv+WE2XSPXHMBzKaLXnauqj6OQjzt3ZteWcXFxUhPT0d2djbefPNNxMbGwszMDG5uboiMjESjRo1gZmaG1atXY+rUqbhz5w6srKyeur/p06dj27ZtOH/+PBQKBQDgu+++w9SpU3H//n3k5OSgTp06+PbbbzFy5MgKjTE0NBQ///wzTp48CaD8M9X79+9HcnIy9PX1AQD9+vWDnp4ewsPDkZycDCcnJ6Snp8PW1la937feegtt2rTB/PnzsX//fnTu3Bk1a9YE8KjQqlQqfPHFF+oz6Dk5ObC2tkZ0dDQ8PT3V+xk5ciRyc3OxadOmcsf/0Ucf4caNG9i6dat6vL///jvS0tJgZGT01NwhISGYM2dOmeWbNm1CjRo1KvTcyd2aNWvw4EHVnKmuKkqlEsOHD9f2MIiI6DG5ubkIDAzE/fv3YW5uLnl/PFNNZRgYGMDBwQERERHw8PCAq6srjhw5gnr16sHHx0e9XUV/Hjt//jw8PT3VhRoAvLy88PDhQ6Snp+P69esoKChQT6coz9atWxEWFoakpCQ8fPgQxcXFz/0CcHFxURdqALCxsUFCQgIA4PTp0xBCwNnZWeMxBQUFZeZmHzp0CEqlEgUFBfjzzz8xYcIE1KpVC+PGjUNiYiLy8/Ph6+ur8ZjCwkK4u7urP16xYgVWrVqF1NRU5OXlobCwsMzdSlq2bPnMQg08OqM/adIk9cfZ2dlo2LAh7C/VgLmR2TMfq2tUegJXmuag8YWa0FMpnv+A/7LWs4ChSdVcLmJgblwl+7G2toa/vz+AR2dG9u7dC19fX/VUJLlgNt0j11wAs+mil52r9Le9VYWlmspwcXFBamoqioqKoFKpYGZmhuLiYhQXF8PMzAz29vY4d+6cupBeuHBB4yztk4QQGoW6dBkA9V01nuX48eMYMGAA5syZAz8/P1hYWCA8PByLFy9+5uOe/IJUKBRQqVQAHs3h1tfXx6lTpzSKN/DoosfHNW7cWD2VxcXFBSdOnMC8efMwbtw49f4iIyPRoEEDjccZGz8qZBEREQgODsbixYvh6ekJpVKJ0NBQnDhxQmP70jPiz2JsbKze7+P0VAroV6J46pLKZpv8xtAqO3az6V2qbF9PMjQ0lNWb4eOYTffINRfAbLroZeWq6mOwVFMZUVFRKCoqQteuXbFw4UK88cYbGDBgAIYNG4Zu3bqpPwnffvttWFtbY+HChRoXKpa6d+8eLC0t0bx5c2zbtk2jXB89ehRKpRINGjRAnTp1YGpqin379pU7/ePIkSOwt7dXT7kAgNTUVEkZ3d3dUVJSgps3b6JDhw6Veqy+vj7y8vIAAM2bN4exsTHS0tLQsWPHcrc/dOgQ2rdvj/Hjx6uXJScnv/jgiYiIqNphqaYy7O3tcf36ddy4cQMBAQHQ09NDYmIi3n//fY35xzVr1sSqVavQt29fvPvuu/j444/h6OiIrKwsREREIC0tDeHh4Rg/fjzCwsIQFBSECRMm4OLFi5g9ezYmTZoEPT09mJiYYOrUqZgyZQqMjIzg5eWFW7du4dy5cxgxYgQcHR3V+/Lw8EBkZGS5Jb4ynJ2dMWjQIHzwwQdYvHgx3N3dkZWVhejoaLRs2VL9q3oAuHnzJvLz89XTPzZs2KC+s4dSqcSnn36K4OBgqFQqeHt7Izs7G0ePHoWZmRmGDh0KR0dHrF+/Hnv27EHjxo2xYcMGxMbGonHjxpIyEBERUfXBUk3l2r9/Pzw8PGBiYoJDhw6hQYMGGoW6VEBAAI4ePYoFCxYgMDBQPce3S5cumDt3LgCgQYMGiIqKwmeffQZXV1fUqlULI0aMwIwZM9T7mTlzJgwMDDBr1ixkZGTAxsYGY8eOVR8jODgYEyZMQEFBAXr06IGZM2eq7xzyotasWYO5c+di8uTJuHbtGmrXrg1PT0+NQg0Ar7/+OoBHc80bNmyIMWPGaBz7yy+/RN26dbFgwQJcvnwZlpaWaN26NT7//HMAwNixYxEXF4f+/ftDoVBg4MCBGD9+PHbv3i1p/ERERFR98O4fRDosOzsbFhYWODbrF1jI7ELFEj2B5OYP0STRTGvzxf+JOdVFRUWIioqCv7+/7OZCMpvukWsugNl00cvOVfoeWlV3/+D/qEhEREREJBFLNRERERGRRCzVREREREQSsVQTEREREUnEUk1EREREJBFLNRERERGRRCzVREREREQSsVQTEREREUnEUk1EREREJBFLNRERERGRRCzVREREREQSsVQTEREREUnEUk1EREREJBFLNRERERGRRCzVREREREQSsVQTEREREUnEUk1EREREJBFLNRERERGRRCzVREREREQSsVQTEREREUnEUk1EREREJBFLNRERERGRRCzVREREREQSGWh7AEQkndPHXqhdu7a2h1GlioqKkBwVhdc/9YGhoaG2h0NERPRMPFNNRERERCQRSzURERERkUQs1UREREREErFUExERERFJxFJNRERERCQRSzURERERkUQs1UREREREErFUExERERFJxFJNRERERCQRSzURERERkUQs1UREREREErFUExERERFJxFJNRERERCSRgbYHQETSLV68GEZGRtoeRpXS09ODq6srFixYAJVKpe3hVJnSXEREJC88U01EREREJBFLNRERERGRRCzVREREREQSsVQTEREREUnEUk1EREREJBFLNRERERGRRCzVREREREQSsVQTEREREUnEUk1EREREJBFLNRERERGRRCzVREREREQSsVQTEREREUnEUk1EREREJBFLNRERERGRRCzVREREREQSsVQTEREREUnEUk1EREREJBFLNRERERGRRCzVREREREQSsVQTEREREUnEUk1EREREJBFLNRERERGRRCzVREREREQSsVQTEREREUnEUk1VRqFQYOfOnS/lWCEhIXBzc3spx6oIBwcHhIWFPXObl/n8EBER0cvFUq0Dbt26BUNDQ+Tm5qK4uBg1a9ZEWlqaev2ThU4IgcmTJ0OpVCI6OloLI34xTyvK/3QZ3bZtGzp16gQLCwuYmZmhVatW+OKLL3Dnzp0qPU5mZia6d+9epfskIiKi6oGlWgccO3YMbm5uqFGjBk6dOoVatWqhUaNG5W5bUlKCESNGYP369YiOjkaXLl1e8mh1y/Tp09G/f394eHhg9+7dOHv2LBYvXoz4+Hhs2LChSo9Vv359GBsbV+k+iYiIqHow0PYA6PmOHj0KLy8vAMDhw4fV/35SQUEBBg4ciNjYWBw8eBDNmjVTr3NwcMDo0aORlJSELVu2wMrKCjNmzMDo0aPV2yQkJGDixIk4duwYatSogd69e+Obb76BmZmZepvVq1dj8eLFSEpKQq1atdC7d298++235Y7niy++wPLly7Fnzx64ublh6tSp2LFjB9LT01G/fn0MGjQIs2bNgqGhIdauXYs5c+YAeHRmGgDWrFmDkJAQAECvXr0AAPb29khJSVEfY8OGDZg5cybu3r2L7t27Y+XKlVAqlQAenbEPDQ3FihUrkJmZCWdnZ8ycORN9+vQBAPz555+YP38+wsLCMHHiRI3nytfXF/fu3QMAJCcnY9KkSTh+/DhycnLQrFkzLFiwAG+99ZZG3gcPHiAwMBC//vorzM3NMW3aNAQFBanXKxQK7NixA++99x5SUlLQuHFjbNu2DcuWLcOJEyfg5OSEFStWwNPTs9zn81liY2NhaGhY6cdVd6dPn0ZhYaG2h1HlTp8+jfDwcPXnulwIIZCXl8dsOuTJXHXq1MHSpUu1PSwincRSXU2lpaWhVatWAIDc3Fzo6+tj7dq1yMvLg0KhgKWlJQIDA/Hdd98BAB4+fIgePXrg6tWrOHLkSLlnshcvXowvv/wSn3/+ObZu3Ypx48bBx8cHTZs2RW5uLrp164Z27dohNjYWN2/exMiRIzFhwgSsXbsWAPD9999j0qRJ+Oqrr9C9e3fcv38fR44cKXMcIQQ++eQT7Ny5E4cPH4aTkxMAQKlUYu3atbC1tUVCQgJGjRoFpVKJKVOmoH///jh79ix+//13/PHHHwAACwsL9OjRA3Xr1sWaNWvQrVs36Ovrq4+TnJyMnTt3YteuXbh79y769euHr776CvPmzQMAzJgxA9u3b8f3338PJycnHDx4EIMHD0adOnXQsWNHbNy4EWZmZhg/fny5r4GlpaX6ufX398fcuXNhYmKCdevWoWfPnrh48aLG8xwaGorPP/8cISEh2LNnD4KDg9G0aVP4+vo+9XWePn06Fi1aBCcnJ0yfPh0DBw5EUlISDAzK/9IsKChAQUGB+uPs7GwAQGFhIVQq1VOPo6sezyonBQUFePDggbaH8Y9hNt1TmksIgaKiIi2PpmqU5pBLnsfJNdvLzlXVx1EIIUSV7pGqRHFxMdLT05GdnY0333wTsbGxMDMzg5ubGyIjI9GoUSOYmZnB2toaDg4OyMzMhFKpRGJiIurWrVtmfw4ODujQoYN6SoMQAvXr18ecOXMwduxYrFy5ElOnTsXVq1dRs2ZNAEBUVBR69uyJjIwM1KtXDw0aNMDw4cMxd+7ccsesUCiwZcsW/PLLLzh58iT27t0LOzu7p2YMDQ3Fzz//jJMnTwJ4NKd6586diIuLK7Pf0jO8pUJCQhAaGorr16+rz0xPmTIFBw8eVJ9Rtra2RnR0tMaZ35EjRyI3NxebNm2Cv78/rl27hvj4+Oe/IE9wcXHBuHHjMGHCBACPnt9mzZph9+7d6m0GDBiA7OxsREVFlclReqZ61apVGDFiBAAgMTERLi4uOH/+PJo2bVrucUNCQtRn9B/n4+Pz1CJORFRRSqUSw4cP1/YwiF6K3NxcBAYG4v79+zA3N5e8P74LV1MGBgZwcHBAREQEPDw84OrqiiNHjqBevXrw8fEps/3bb7+NP/74Qz2doTylZ76BRwWvfv36uHnzJgDg/PnzcHV1VRdqAPDy8oJKpcLFixehUCiQkZGBrl27PnPcwcHBMDY2xvHjx2Ftba2xbuvWrQgLC0NSUhIePnyI4uJiSZ/EDg4O6kINADY2Nuo8iYmJyM/PL3OWuLCwEO7u7gAe/WBRkV/j5uTkYM6cOdi1axcyMjJQXFyMvLw8jYtFAZSZtuHp6fncO4I8/prY2NgAAG7evPnUUj1t2jRMmjRJ/XF2djYaNmwIY2Nj2ZVqhUIBQ0NDFBUVQU4/+5fmMjU11fZQ/hF5eXnMpmMez2VtbQ1/f38tj6hqFBUVYe/evfD19ZXd9Di5ZnvZuUp/21tV5PUuLCMuLi5ITU1FUVERVCoVzMzMUFxcjOLiYpiZmcHe3h7nzp1Tb9+1a1d8/PHHCAgIQElJCZYtW1Zmn09+gioUCvWUgWcVTIVCUeE3El9fX2zevBl79uzBoEGD1MuPHz+OAQMGYM6cOfDz84OFhQXCw8OxePHiCu23PM/KU/p3ZGQkGjRooLFd6cWCzs7OOHz4MIqKip75xfvZZ59hz549WLRoERwdHWFqaoo+ffpUaK7v80r748ct3fZZ0ziMjY3LvdjxzTffhJGR0XPHo0v09PTg6uqK+Ph4WU1tKc3l7+8vqzdD4NEbYlRUFLPpELnmepyhoSGz6ZiXlauqj8G7f1RTUVFRiIuLQ/369fHTTz8hLi4OLVq0QFhYGOLi4tRTCh7n6+uLXbt2YfXq1fjoo48qdXavefPmiIuLQ05OjnrZkSNHoKenB2dnZyiVSjg4OGDfvn3P3M+7776LTZs2YeTIkQgPD9fYl729PaZPn44333wTTk5OSE1N1XiskZERSkpKyuzT0NCw3OXPy2NsbIy0tDQ4Ojpq/GnYsCEAIDAwEA8fPlTPS39S6YWKhw4dwrBhw9CrVy+0bNkS9evX17hYstTx48fLfPy0M85EREQkLzxTXU3Z29vj+vXruHHjBgICAqCnp4fExES8//77sLW1ferjunTpgsjISLzzzjsQQmD58uUVmuIwaNAgzJ49G0OHDkVISAhu3bqFoKAgDBkyBPXq1QPwaD7v2LFjUbduXXTv3h0PHjzAkSNHNO5wATy6U8eGDRswZMgQGBgYoE+fPnB0dERaWhrCw8Ph4eGByMhI7NixQ+NxDg4OuHLlCuLi4mBnZwelUgljY2N1mffy8oKxsTGsrKyem0epVOLTTz9FcHAwVCoVvL29kZ2djaNHj8LMzAxDhw5F27ZtMWXKFEyePBnXrl1Dr169YGtri6SkJKxYsQLe3t6YOHEiHB0dsX37dvTs2RMKhQIzZ84s98zpkSNHsHDhQrz33nvYu3cvtmzZgsjIyOeOlYiIiHQfz1RXY/v374eHhwdMTExw4sQJNGjQ4JmFulSnTp0QFRWFDRs2YNy4cRU6Y12jRg3s2bMHd+7cgYeHB/r06YOuXbtq3C5v6NChCAsLw3fffQcXFxe88847+Pvvv8vdX58+fbBu3ToMGTIE27dvR0BAAIKDgzFhwgS4ubnh6NGjmDlzpsZjevfujW7duqFz586oU6cONm/eDODRXUv27t2Lhg0bqudDV8SXX36JWbNmYcGCBWjWrBn8/Pzw22+/oXHjxuptvv76a2zatAknTpyAn58fXFxcMGnSJLRq1QpDhw4FACxZsgRWVlZo3749evbsCT8/P7Ru3brM8SZPnoxTp07B3d0dX375JRYvXgw/P78Kj5eIiIh0F+/+QaTDsrOzYWFhgWnTpnFOtY7gnGrdJNdscs0FMJsuetm5St9Dq+ruHzxTTUREREQkEUs1EREREZFELNVERERERBKxVBMRERERScRSTUREREQkEUs1EREREZFELNVERERERBKxVBMRERERScRSTUREREQkEUs1EREREZFELNVERERERBKxVBMRERERScRSTUREREQkEUs1EREREZFELNVERERERBKxVBMRERERScRSTUREREQkEUs1EREREZFELNVERERERBKxVBMRERERScRSTUREREQkEUs1EREREZFEBtoeABFJN3nyZNSuXVvbw6hSRUVFiIqKwrRp02BoaKjt4VSZ0lxERCQvPFNNRERERCQRSzURERERkUQs1UREREREErFUExERERFJxFJNRERERCQRSzURERERkUS8pR6RDhNCAAAePHggq9vOAY9uPZebm4vs7GxZZZNrLoDZdJFccwHMpotedq7s7GwA/3svlYqlmkiH3b59GwDQuHFjLY+EiIhINz148AAWFhaS98NSTaTDatWqBQBIS0urkm8I1Ul2djYaNmyIq1evwtzcXNvDqTJyzQUwmy6Say6A2XTRy84lhMCDBw9ga2tbJftjqSbSYXp6jy6LsLCwkNU31seZm5vLMptccwHMpovkmgtgNl30MnNV5QkpXqhIRERERCQRSzURERERkUQs1UQ6zNjYGLNnz4axsbG2h1Ll5JpNrrkAZtNFcs0FMJsu0vVcClFV9xEhIiIiInpF8Uw1EREREZFELNVERERERBKxVBMRERERScRSTUREREQkEUs1EREREZFELNVErwje6Ef38DXTPSqVSttD+MfI8fOxoKBAlq9ZZmYmrly5ou1hvHJYqolk7MGDB8jKykJubi4UCoW2h1Nl5PjmXqqgoAAFBQUQQsjqNQOA7OxspKWl4datW7IqMpcvX8bPP/8MANDT05NVtjNnzmDgwIEAILvPx3PnzmHMmDGIj49HUVGRtodTZRITE+Hj44OtW7cCkNcPepmZmdizZw9iYmKQlpam7eGUwVJNJFMJCQno3LkzOnfujKZNm+Kzzz7DmTNnAOh2KU1OTsb69etx7949bQ+lyp0/fx4DBgxAp06d0Lp1a8TExADQ7der1Llz59C9e3f06NEDLVu2xI8//qjtIVWJu3fvwtvbG/PmzcOqVasAPCrWcnjN4uPj4e3tjQYNGmgsl0O2s2fPokOHDjA1NYW1tTUMDQ21PaQqER8fDw8PD9y6dQvr1q2DSqWCnp48ql5CQgJ8fHwwefJkBAYG4vPPP8fNmze1PSwN8nimiUhDamoqunTpAk9PT4SFhWHkyJE4efIkPvzwQ8TExEChUOjkG+OlS5fg7u6O4cOHY+PGjXj48KG2h1Rlzp07Bx8fH9ja2mLw4MFo3Lgx+vXrh8zMTJ0/Q3ju3Dl07NgRbdq0wcqVK9GnTx9MmTJFFj8YPXz4EAqFAubm5vjpp5/w448/oqioCAqFAsXFxdoe3guLj4+Hl5cXxo8fj0WLFmms0/XPx/v372PcuHEYPHgwvv/+ezRs2BBpaWlISUnB7du3AejmDw7x8fHw9PTEpEmTcOrUKeTk5GDlypXaHlaVuHLlCt5++2306dMHMTExWLBgAQ4cOID79+9re2iaBBHJzoYNG4SXl5coKipSLztw4IDo37+/cHJyEocOHdLi6F5Mdna26N+/v/jwww/FZ599JvT09MTSpUvFgwcPtD00yW7duiV8fHzExIkTNZa3aNFCzJ07VwghhEql0sLIpLt+/bpo06aNCA4OVi+7e/eu6Natm0hISBCpqani9u3bWhyhdKNGjRLR0dFi4MCBwtPTU6xbt04IIcTZs2e1PLIXk56eLiwtLUX//v2FEEIUFhaKqVOnit69e4t27dqJH374QVy+fFnLo3xxd+/eFV5eXuLvv/8WhYWFIiAgQHh4eIi6deuKrl27ir179wohdOtr7syZM8LU1FR8/vnnQohH3y87dOggAgICtDuwKvL111+LHj16aCx7++23xZYtW0RkZKRISEgQQmj/NeOZaiIZKigowIULFzR+Nebj44Pg4GC4urpi7ty51XI+2rPk5OTAzc0N/v7+WLhwIb744gsEBwdj9erVOn/G+tKlS8jLy8PQoUMBACUlJQCAJk2aqM/m6urZwfT0dHTv3h1BQUHqZWFhYdi3bx/69u2LLl26YOzYsbhw4YIWR/lixH/PZiYnJyMjIwPLli1Dw4YNsXbtWri7u6NLly4oLCzUuTmtly9fhqurK27cuIGTJ0/i3XffxfHjx1G3bl3Y29tj6dKl+Oqrr5CZmantob6QzMxMnD17Fvn5+QgKCkJeXh6++eYbLF68GHZ2dhg2bBiOHTumU19zERER+OSTTzBv3jyoVCoolUqEhIRgz5492Llzp7aHJ1lhYSFSU1PV71vz5s3D3r17sXDhQkybNg1+fn6Ijo7W/mum1UpPRFWq9Kf0mJgY4ezsLCIiIkRJSYnGNjt27BCvvfaaiImJ0cIIpUlLS9M4E/Hll18KPT09ERYWpj5jXVxcLG7cuKGtIb6w0rObQjw6MyiEEOPGjStz9jo/P/9lDqtKPH5Wc+XKlUKhUIgNGzaItLQ0sXnzZuHm5ia+//57LY7wxZT+Jmj+/PlixowZQohHr529vb2oWbOm+qyhENo/g1ZZf/zxh+jZs6cwNDQUfn5+IisrS71u+fLlwsbGRhw4cECLI3xx+fn5wt/fX0ydOlV0795dHD58WL3u/PnzomfPnmL69OlCCN173UqpVCqRmZkpOnfuLD766CMhxKPvjbqm9PkPDw8Xbdq0Ea6urmLQoEFCoVCInTt3iry8PJGUlCQCAwPFe++9Jx4+fKjV14xnqolkQKVSoaSkRP1TeqdOndCiRQsEBwcjLi5OY9v33nsPJiYmiIyM1MJIK6c0V6mGDRtqzFWdMWMGQkJCMGnSJKxevRq3b9/G559/jmnTpqGwsFBbw66QJ7N98MEH6uWlF02VlJRo/LZhyZIlCA8Pr/ZnPp/M1rhxY/W/PTw8cOTIEQwePBgNGzbEgAEDYGRkhOPHj2tjqJXyZC4DAwMAQKNGjRAbGwsAGDNmDPLz8+Hp6Yljx45h+fLlAKr/bxqezNa1a1eMHz8e48aNw4wZM1C7dm3159348eOhUqkQHR2treFWypPZjI2N4erqiu+++w4xMTEaFyk2bdoUSqUSCQkJAKr36/ZkLuB/v+VSKBSoX78+evbsiR9//BGpqanQ19fXxjBfyJPvaf3798fkyZMxfvx41K5dGyNGjEBAQABMTEzQpEkT1KtXD7du3ULNmjW1+poZaO3IRFQlzp8/j6VLlyIpKQmenp5wc3ND7969sW3bNnh5eaFv375Yv3492rRpA0NDQxQXF8PW1haNGjXS9tCf6clcb775JgICAgA8esMovap95syZUCgUmDJlCn766SecPn0ap06dgpGRkZYTPN2zsgFQZ9PT04OJiQkAYNasWZg7dy7++uuvan01/7OyqVQquLq6qrdVqVTIy8uDnZ0dPDw8tDXkCnlWLgcHBxQXF2PIkCHYt28fjh49CisrKwwYMACRkZEYNGgQLC0ttRvgGZ7M1rp1a/Tq1QvdunWDvb09mjRpAuB/twu8efMm7O3tNV7L6upp2ebPn4/MzEysW7cOP/zwA+zs7GBrawsAMDc3R/369av1nTOe9vmor6+PkpIS6OnpQaFQYMSIEdi4cSOWLFmCRYsWqX8QrM6ezObu7o73338f/fr1A/Bo6sfZs2c1HlNYWAh7e3vk5+erv2dqg0IIHbzElYgAABcuXICnpyd69OgBU1NTJCcnIyUlBQMGDMD8+fNRUFCAbt264eLFiwgMDISTkxPOnz+PdevW4cSJE3B2dtZ2hHI9LdegQYPw5ZdfAvjfvVdL3/Tc3d1x9epVREdHo1WrVlob+/NUJFvpG0NQUBCUSiVq1aqFmTNn4siRI2jdurWWEzxdRbIVFxdrvLHPmjULP/30E/bu3asub9XN03IFBgZi7ty5KCkpgbOzM4qKivDLL7/A3d0dAHDr1i0UFBTAzs5Oywme7mnZBg4ciHnz5gFAmXumz549GxEREdizZ0+1/uH8adn69euHr776CgAwfPhw/Oc//0Hz5s3Rvn17ZGRkYMuWLTh69CiaN2+u5QTlq8jXWUlJifrM9MSJE7Fr1y6cPXsWpqam2hz6cz3vaw0A/u///g+hoaGYO3cu6tWrh4MHD+L777/H4cOH4eLiot0AWpt4QkSSqFQqERwcLPr166dedvXqVbFkyRJhYmIiJk+erF4+bdo00a1bN/H6668LX19fcebMGS2MuGKelcvU1FR89tlnGtsWFhaKjz76SCgUCvHXX39pY8gVVplsQggRHBwsFAqFUCqVIjY29mUPt1Iqm+2XX34RwcHBwsrKSpw+ffplD7fCnper9Ovszz//FBcuXFBv8+S1DNVRZV+zbdu2iaCgIGFhYVGtv4cI8fxsn3zyiXr5Dz/8ID788EPRtm1bMXDgQBEfH6+NIVdIZV6z0jn/ly5dEo0bNxbp6ekvfbyVUdGvNSGECAwMFHZ2duK1114T7dq1E3FxcdoYchnV//cARFQuhUKBpKQkjfmAdnZ2GDFiBIyMjDBz5kzUrVsXU6ZMwfz585Gfn4+CggIYGhqiRo0aWhz5s1Ukl42NDYKDg6FQKFBYWAhbW1ucPHkSLVu21OLIn68y2QCof4154sQJNGvWTCtjrqjKZktNTcXff/+NQ4cOaf/s0jM8L9eMGTNgb2+vcXcTANV22sDjKvuaXb58GefOncPhw4fRokULbQ27QiqabcqUKRg9ejRGjx6NgoIC6OvrV+spEpV5zUpzNG7cGHFxcTA3N9fWsCukMu9pGzduRFxcHMzMzGBlZYXatWtrceT/U/2/6omoDPHfWVs+Pj64fv06Ll26pF6nVCrRr18/jBgxApGRkbh27RqARwXNwsKiWhfqiubauXMnrl+/DgCoWbMmpk6dWq2nRQCVy5aRkQEAmD9/PtLS0qp9oX6RbEFBQdi0aVO1LtQVzbV161adu73ci7xmn376KbZv317tC3Vlvj+WZgMeXcBYnQv1i3x/BB5dUFvdC3VlXrP09HQAgJubGxwdHatNoQZYqol0Uun8RldXV2RkZGDjxo24c+eOer21tTUCAgJw/PhxnbofdWVyXblyRb1cF65qr0y21NRU9fLqPB+31ItmUyqVL32slVGRXO+99x6OHz+OlJQULY3yxbzoa2ZhYfHSx1pZL5qtunvR74+6oDLZrl69qq1hPlf1/ZGMiDRcuXIF+/btw8OHD9GsWTP4+fnB19cXEydOxKeffgpjY2MMGzZMfQW7k5NTtT/DCcg3F8BsuphNrrkAZtPFbHLNBcgzG0s1kQ44e/YsOnbsCHd3d5w/fx6WlpawtrbG7t278cknn6C4uBhffPEFUlNT8e6776JFixb49ttvkZWVBQcHB20P/6nkmgtgNl3MJtdcALPpYja55gJknE1rl0gSUYXk5OQILy8vMW7cOCGEEHfv3hW7d+8WLVq0EE2bNhXXr18XQgixevVq8dZbb4kaNWqI5s2bC3t7+2p9VwW55hKC2YTQvWxyzSUEswmhe9nkmksIeWdjqSaq5u7cuSNatmwptm/frl6mUqnEpUuXROvWrUWLFi3Uy2/cuCESEhLE6dOn1d+Yqiu55hKC2UrpUja55hKC2UrpUja55hJC3tlYqomqueLiYuHi4iKCgoLKrIuPjxfOzs5i7NixWhiZNHLNJQSz6WI2ueYSgtl0MZtccwkh72y8+wdRNSaEgL6+Pvr27YuTJ08iKipKY33Lli0xcOBAnDt3Djk5OVoaZeXJNRfAbLqYTa65AGbTxWxyzQXIOxvAW+oRVWultxkaMmQIhBBYvnw59u/fr7G+efPmyMjIQG5urpZGWXlyzQUwmy5mk2sugNl0MZtccwHyzgawVBNVe0IIvPbaa/j3v/+NtLQ0LFy4EGvXrgUAFBQU4M8//4StrS1MTU21O9BKkmsugNl0MZtccwHMpovZ5JoLkHc2zqkmqiaKiopEYWGhxrKSkhKNv8+dOyd69eolHB0dRYMGDUTHjh2FlZWVOHPmzMseboXJNZcQzKaL2eSaSwhm08Vscs0lhLyzPY1CiP/+35BEpDWJiYmYM2cOMjIy4OjoiLfffhsDBw4EAJSUlEBfXx8qlQp6enrIyspCSkoKdu/eDTs7O3To0AGOjo5aTlA+ueYCmE0Xs8k1F8BsuphNrrkAeWd7FpZqIi27dOkS2rRpg549e8LJyQn79u3DgwcP4OrqijVr1gAACgsLYWRkpOWRVo5ccwHMpovZ5JoLYDZdzCbXXIC8sz2Xdk+UE73aVCqVmD59uujTp496WU5Ojvj2229Fy5YtRb9+/TS2X716tUhLS3vZw6w0ueYSgtkepyvZ5JpLCGZ7nK5kk2suIeSdrSJYqom0bNiwYcLb21tjWW5urli1apVwd3cX//rXv4QQQhw5ckQ4OjqKwYMHi+LiYm0MtVLkmksIZhNC97LJNZcQzCaE7mWTay4h5J3teQy0faac6FUlhIBCoUDr1q1x8eJFXLhwAU2bNgUAmJqaom/fvrh06RJiYmJw9+5dtG/fHlOmTMFbb70FfX19LY/+6eSaC2A2Xcwm11wAs+liNrnmAuSdrcK0VueJSAghRFJSkrC2thbDhw8X2dnZGusyMjKEnp6e2Lp1q5ZG9+LkmksIZtPFbHLNJQSz6WI2ueYSQt7Znof3qSbSsiZNmiAiIgKbNm3CtGnTkJWVpV5nZGQEd3d31K5dW4sjfDFyzQUwmy5mk2sugNl0MZtccwHyzvY8nP5BVA107twZW7ZsQd++fZGRkYG+ffuiVatW2LBhA9LT09GkSRNtD/GFyDUXwGy6SK65AGbTRXLNBcg727PwlnpE1cjp06cxadIkXLlyBQYGBjA0NMTmzZvh7u6u7aFJItdcALPpIrnmAphNF8k1FyDvbOVhqSaqZrKzs3Hnzh08fPgQ9evXh7W1tbaHVCXkmgtgNl0k11wAs+kiueYC5J3tSSzVREREREQS8UJFIiIiIiKJWKqJiIiIiCRiqSYiIiIikoilmoiIiIhIIpZqIiIiIiKJWKqJiIiIiCRiqSYiIiIikoilmoiIiIhIIpZqIiIiIiKJWKqJiOilSklJgUKheOYfNzc3bQ+TKkihUKBTp07aHgaR1hloewBERPRqatKkCQYPHlzuuvr167/k0RARScNSTUREWuHo6IiQkBBtD4OIqEpw+gcREVVrpdMLbt26hQ8//BB169aFqakp2rVrh/3795f7mL/++gv+/v5QKpWwsLCAv78/zp49i2HDhkGhUCAlJUW97f379/H111+jY8eOsLW1hZGREWxtbfHBBx8gOTm53P1nZWVh9OjRqFu3LmrUqAEPDw/s2LEDa9euhUKhwNq1a8sd04ABA2BjYwMjIyPY29sjKCgIt2/f1tiudHrMsGHDcP78ebzzzjuwtLSElZUVBg4ciKysLADAiRMn4OvrC3Nzc1hZWWHUqFHIyckpd7wHDx5Ez549YW1tDWNjYzg5OWHGjBnIzc3V2G7//v1QKBQICQnB6dOn4efnp34Oe/XqpfG8lW4LAAcOHNCYvlNefiK545lqIiKq9u7duwcvLy+Ym5tj0KBBuHnzJn7++Wf4+fnh1KlTaNGihXrb+Ph4dOjQAbm5uXj//ffh6OiIU6dOwdvbG66urmX2ff78ecyaNQudO3dGr169ULNmTVy4cAGbNm1CZGQkTp8+DXt7e/X2Dx8+RMeOHZGYmAhvb294e3vj2rVrGDhwIN5+++1yx//rr7+iX79+0NfXx7vvvouGDRsiMTER3377Lfbs2YMTJ07AyspK4zFXrlxB+/bt8eabb2LkyJE4efIkwsPDcfXqVXz99dfw9fWFr68vRo8ejf3792PVqlUAgJUrV2rsZ8WKFRg/fjysrKzQs2dP1KlTB7GxsZg3bx5iYmIQExMDIyMjjcecPHkSoaGh6NSpE8aMGYMzZ85g586dSEhIwNmzZ2FiYgIHBwfMnj0bc+bMgb29PYYNG6Z+POfE0ytJEBERvURXrlwRAESTJk3E7Nmzy/2ze/du9fYABAAxfvx4UVJSol6+atUqAUCMGTNGY//e3t4CgNiyZYvG8tmzZ6v3deXKFfXye/fuidu3b5cZZ3R0tNDT0xMjR47UWD5jxgwBQHz00Ucay2NiYtT7X7NmjXp5VlaWMDc3F3Z2diI1NVXjMZs2bRIAxIQJE8o8PwBEWFiYerlKpRL+/v4CgLC0tBQ7d+5UryssLBStWrUShoaG4vr16+rl586dEwYGBsLd3b1MxgULFggAYtGiReVmCA8P19h+yJAhAoDYvHmzxnIAomPHjmWeP6JXDUs1ERG9VI+Xxqf9mThxonp7AKJmzZriwYMHGvspKioSBgYGonXr1uplKSkpAoBwd3cvc9ycnBxRq1atMqX6WVq2bCkcHBw0ljk4OAhjY2Nx8+bNMtv7+fmVKdXffPONACA2bNhQ7jFat24trK2t1R+XPj+vvfaaxg8RQgixfv16AUB07ty5zH6++OILAUDExMSol3388ccCgDh06FCZ7UtKSkSdOnXEG2+8oV5WWqp9fHzKbF+6btKkSRrLWaqJHuH0DyIi0go/Pz/8/vvvFdrWyckJZmZmGssMDAxQr1493Lt3T70sPj4eANC+ffsy+6hRowZcXV0RExNTZt3+/fsRFhaGEydOICsrC8XFxep1j0+NyM7ORkpKClxcXFCnTp0y+2nfvj327Nmjsez48ePqv5OSkso8Jj8/H1lZWcjKyoK1tbV6uaurK/T0NC99srGxAVD+9IrSddeuXStz7N9//x1//PFHmccYGhriwoULZZa3bt26zDI7OzsA0Hi+ieh/WKqJiKjas7CwKHe5gYEBSkpK1B9nZ2cDQLmFFwDq1atXZtmWLVvQv39/mJmZwc/PDw4ODqhRo4b6grvU1FRJ+79z5w4AYPny5eU+plROTo5GqTY3Ny+zjYGBwXPXFRUVlTn2vHnznnnsJ5X3fJfu//Hnm4j+h6WaiIhko7Rs3rp1q9z1N27cKLMsJCQEJiYmOHXqFJycnDTWhYeHS95/6WMSEhI0Lqh8GUqPnZ2dDaVS+VKPTfSq4S31iIhINkrv7nH06NEy63Jzc9XTQx6XnJyMZs2alSnUGRkZZW6pZ25uDgcHByQlJZVbrMs7btu2bQEAx44dq3iQKlJ67NJpIP8EPT09nr0mAks1ERHJiL29Pby8vHDmzBls3bpVY11oaKh6OsSTj0lKStI4y5yfn49x48ZpzK0uNWjQIBQUFGDOnDkay/fv319mPjUADB8+HEqlEtOnT8e5c+fKrM/Nzf3HSu/48eNhYGCAoKAgXL16tcz6e/fu4cyZM5KOUatWLaSnp0vaB5EccPoHERFpRVJS0jP/R8UX/d8Wly1bBh8fHwwYMAC9e/dGkyZNcPr0aRw/fhw+Pj44ePCgxgWAQUFBCAoKgru7O/r06YPi4mLs3bsXQgi4urqWObs9depUbNu2DcuXL8dff/0Fb29vpKenIyIiAj179sRvv/2msf86depg8+bN6Nu3L1xdXdGtWzc0bdoU+fn5SE1NxYEDB9C+ffsKX7RZGS1atMB3332HcePG4fXXX4e/vz+aNGmC7OxsXL58GQcOHMCwYcOwYsWKFz5Gly5dEBERgT59+sDd3R36+vro0aMHWrZsWYVJiKo/lmoiItKK5OTkMmd7H/eipdrd3R2HDh3Cv/71L0RFRUGhUMDb2xuHDx/GtGnTAGhe6PfRRx/B0NAQy5Ytw8qVK2FpaYkePXpg/vz56NevX5n9K5VKHDx4ENOmTcMvv/yC2NhYuLi4YPPmzbh8+TJ+++23MhcS9ujRA2fOnEFoaCj++OMP7N27FzVr1oSdnR2GDx+OwYMHv1DWihg1ahTc3NzwzTff4ODBg/j1119hYWGBRo0aITg4GEOHDpW0/6VLlwIAoqOjsWPHDqhUKtSvX5+lml45CiGE0PYgiIiI/mklJSVo0qQJ8vLyyr2gsCoMHjwYGzduRGJiIpo1a/aPHIOIqifOqSYiIlkpLi5GVlZWmeVfffUVUlNT8d5770k+RmZmZpllBw4cQHh4OF5//XUWaqJXEM9UExGRrNy7dw/16tWDr68vnJ2dUVRUhBMnTiA2NhY2NjY4deqU+j9KeVHu7u4wNTWFm5sbatasicTERPz+++/Q19dHZGQkfH19qygNEekKlmoiIpKVwsJCfPLJJ4iOjkZGRgby8/NhY2OD7t27Y+bMmWjQoIHkY4SFhWHjxo1ITk7GgwcPYGlpCS8vL0ybNk19GzsierWwVBMRERERScQ51UREREREErFUExERERFJxFJNRERERCQRSzURERERkUQs1UREREREErFUExERERFJxFJNRERERCQRSzURERERkUT/Dx8yggo7w6DbAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 600x2600 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "interactions = ['like','retweet','reply']\n",
    "plt.figure(figsize = (6,26))\n",
    "c= 0\n",
    "for interaction in interactions:\n",
    "    c+=1\n",
    "    plt.subplot(3,1,c)\n",
    "    ax=sns.barplot(data = df, y = 'keyword', x = f'{interaction}_engagement')\n",
    "    plt.title(interaction,fontsize = 16)\n",
    "    plt.grid()\n",
    "    plt.xlabel(f\"Engagement\", fontsize = 14)\n",
    "    ax.set_ylabel(f\"Keyword\", fontsize = 14, rotation=0)\n",
    "    plt.xticks(rotation=45)\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d7e6a4a1",
   "metadata": {},
   "source": [
    "# Calculate Engagement Coefficients and Interaction Strengths\n",
    "\n",
    "The function `engagement_estimate` in the `TextAnalytics.py` file will calculate the engagement coefficients and interaction strengths from the tweet dataframe `df`.  It returns a dataframe with the engagement coefficients (`df_alpha`) and interaction strengths (`df_beta`).  The alpha and beta names come from the original paper where this model is presented."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "f15f4ded",
   "metadata": {},
   "outputs": [],
   "source": [
    "df_alpha, df_beta = engagement_estimate(df)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3f10cde0",
   "metadata": {},
   "source": [
    "# Plot Model Parameter Estimates"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "bce324ac",
   "metadata": {},
   "source": [
    "## Plot Engagement Coefficients (Alpha)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "5be00449",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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SGdUuioiICHz00Ud5EmxtTAcOHMC9e/eKVNfEiRMREhKC0NBQ+Pn5wcrKCh999NFr9aco6tWrh2PHjuHKlSto0aIF6tevj5kzZ4pzt7UCAgKQnp6OZs2a6exDf39/pKeno2nTpuJ8aG9vbyxfvhyLFy9GnTp1sGXLFixcuFCnvpycHIwaNQq1atVChw4dUKNGDfHKI1qLFi3C2LFj0bBhQ9y9exf79++Hqamp5PuAiIiISh6Du7oI0dvSXl3k8ePHBf7yUBRKpRI2NjbwGVf6ry7ymZ8NFp0q3VfcAAwn1jeN8/zSkFcXeo+oVCrExMSgU6dOpf7EMUOJ1VDiBAwnVn3Eqf38ftXVRQxyJJuIiIiIqDgxySYiIiIikpjBnfhI9LZatWpVbJczJCIiotKBI9lERERERBJjkk1EREREJDEm2UREREREEmOSTUREREQkMSbZREREREQSY5JNRERERCQxJtlERERERBJjkk1EREREJDHejIZIz36e0QP29vb67kaxUalUiImJwfF5fSCXy/XdnWJlKLEaSpxERG+DI9lERERERBJjkk1EREREJDEm2UREREREEmOSTUREREQkMSbZREREREQSY5JNRERERCQxJtlERERERBJjkk1EREREJDHejIZIz+6saItnpmp9d6PY5BiZAXVn4vZiPxhrsvTdnWJlKLEyTv1zm3VB310golfgSDYRERERkcSYZBMRERERSYxJNhERERGRxJhkExERERFJjEk2EREREZHEmGQTEREREUmMSTYRERERkcSYZBMRERERSYxJNhERERGRxJhkExERERFJjEk2EREREZHEmGQTEREREUmMSTYRERERkcSYZJNehYWFwdvbW9/dICIiIpIUk+xS6sGDB5DL5cjIyIBarYalpSVSUlJ0yvz+++/o2bMnHB0dYW5ujurVq2Po0KG4fPnyO+vnpEmTcOTIEUnrjIuLg0wmEx9lypSBp6cnvvvuO0nbISIiIioIk+xS6tSpU/D29oaFhQXOnz+PsmXLws3NTVx/4MABNGnSBFlZWdiyZQuSk5MRFRUFGxsbzJw58531U6FQwN7evljqvnTpEu7evYukpCQMGzYMI0aMkDyhf1l2dnax1k9EREQlg4m+O0DFIyEhAc2aNQMAnDx5UvwbADIyMjBw4EB06tQJe/fuFZdXqlQJjRs3xpMnT8Rlx44dw+TJk/HHH3+gbNmyGDBgAObPnw8Tk9yXjkajwdKlS7F27VrcunULjo6OGDZsGKZPnw4AmDp1Kvbu3Yvbt2/DyckJ/fr1w6xZsyCXywHkThfZt28fEhMTAQChoaF48uQJmjdvjvDwcGRnZyM4OBgrV64Ut8nOzsaMGTOwZcsWPHnyBHXq1MHixYvRqlUrnX1Qvnx52NraAgDGjBmDL7/8Er/99hvatGkDABAEAUuXLsWaNWtw9+5dVK9eHTNnzkSPHj0AADk5Ofjkk09w9OhRpKamws3NDSNHjsTYsWPFNrT9bdy4MVatWgVTU1PcuHEj32OSlZWFrKws8blSqcxtx0iOHCPjwg9oCZZjZKrzb2lmKLEyTv1TqVTFUp/U9b5vDCVOwHBi1UecRW2LSXYpkpKSgnr16gHITaSNjY0RGRmJzMxMyGQy2Nraom/fvggMDMTDhw8xZcqUfOvRJqZ37txBp06dEBoaik2bNuHvv//G0KFDYW5ujrCwMADAtGnTsHbtWqxYsQLNmzfH3bt38ffff4t1WVlZITIyEi4uLrhw4QKGDh0KKyurAtsGgNjYWDg7OyM2NhZXr15F79694e3tjaFDhwIABg4ciBs3bmD79u1wcXHB3r170aFDB1y4cAHVqlXLU58gCDh48CBu3bqFxo0bi8tnzJiBPXv24JtvvkG1atVw/PhxfPzxxyhXrhz8/f2h0WhQsWJF7NixAw4ODkhISMAnn3wCZ2dn9OrVS6znyJEjsLa2xqFDhyAIQoFxLVy4EHPmzMmz/O9a42FhYVHgdqXFRc+p+u7CO2MosTJO/fkzJqZY6j106FCx1Pu+MZQ4AcOJ9V3GmZGRUaRyMqGwrIBKFLVajdu3b0OpVMLHxwdnz56FQqGAt7c3oqOj4ebmBoVCgYiICEydOhX//fcf7OzsCqxv+vTp2L17N5KTkyGTyQAAq1evxtSpU5GWloZnz56hXLly+OqrrzBkyJAi9XHp0qX4/vvvce7cOQD5j2THxcXh2rVrMDbOHd3t1asXjIyMsH37dly7dg3VqlXD7du34eLiItbbtm1bNGrUCAsWLEBcXBwCAgJgaWkJIHcEWaPRYO7cueII+7Nnz+Dg4ICjR4/Cz89PrGfIkCHIyMjA1q1b8+3/qFGjcO/ePezatUvs788//4yUlBSYmhY+2pXfSLarqyt+m+kLW1NNkfZfSZRjZIqLnlPheXExjDWlezqNocTKOPWv4tRTktanUqlw6NAhBAYGir8alkaGEidgOLHqI06lUgkHBwekpaXB2tq6wHIcyS5FTExM4OHhgR07dsDX1xdeXl6Ij4+Ho6MjWrZsKZYr6veq5ORk+Pn5iQk2ADRr1gxPnz7F7du3kZqaiqysLHH6RX527dqFlStX4urVq3j69CnUanWhL0gA8PT0FBNsAHB2dsaFCxcAAL/99hsEQUD16tV1tsnKysozt/vEiROwsrJCVlYWfv31V4wePRply5bFiBEjkJSUhOfPnyMwMFBnm+zsbNSvX198vmbNGqxbtw43b95EZmYmsrOz81wNpW7duq9MsAHAzMwMZmZmeZYba1Qw1qhfuX1JZ6zJhrEm69UFSwFDiZVx6k9xJRNyubxUJ2RahhInYDixvss4i9oOk+xSxNPTEzdv3oRKpYJGo4FCoYBarYZarYZCoYC7uzsuXrwoJqh///23zijuywRB0EmwtcsAiFftKMzp06cRHByMOXPmoH379rCxscH27dsRHh5e6HYvv3hlMhk0mtyRXo1GA2NjY5w/f14nEQdyT6J8UaVKlcSpL56enjhz5gy++OILjBgxQqwvOjoaFSpU0NlOmwjv2LED48ePR3h4OPz8/GBlZYWlS5fizJkzOuW1I+ZEREREWkyyS5GYmBioVCq0adMGS5YsQcOGDREcHIzQ0FB06NBBTF7btWsHBwcHLFmyROfER60nT57A1tYWtWvXxu7du3WS7YSEBFhZWaFChQooV64cypQpgyNHjuQ7XSQ+Ph7u7u7iFA0AuHnz5lvFWL9+feTk5OD+/fto0aLFa21rbGyMzMxMAEDt2rVhZmaGlJQU+Pv751v+xIkTaNq0KUaOHCkuu3bt2pt3noiIiAwGk+xSxN3dHampqbh37x6CgoJgZGSEpKQkdOvWTWf+sqWlJdatW4eePXuia9euGDNmDKpWrYqHDx9ix44dSElJwfbt2zFy5EisXLkSn376KUaPHo1Lly5h9uzZmDBhAoyMjGBubo6pU6diypQpMDU1RbNmzfDgwQNcvHgRgwcPRtWqVcW6fH19ER0dnW9S/zqqV6+Ofv36ISQkBOHh4ahfvz4ePnyIo0ePom7duujUqZNY9v79+3j+/Lk4XSQqKkq8coiVlRUmTZqE8ePHQ6PRoHnz5lAqlUhISIBCocCAAQNQtWpVbNq0CQcPHkSlSpUQFRWFs2fPolKlSm8VAxEREZV+TLJLmbi4OPj6+sLc3BwnTpxAhQoVdBJsraCgICQkJGDhwoXo27eveBJe69atMX/+fABAhQoVEBMTg8mTJ8PLywtly5bF4MGDMWPGDLGemTNnwsTEBLNmzcK///4LZ2dnDB8+XGxj/PjxGD16NLKysvDBBx9g5syZ4pVJ3tSGDRswf/58TJw4EXfu3IG9vT38/Px0EmwAqFGjBoDcuequrq4YNmyYTtvz5s1D+fLlsXDhQvzzzz+wtbVFgwYN8PnnnwMAhg8fjsTERPTu3RsymQx9+vTByJEj8dNPP71V/4mIiKj049VFiPREqVTCxsYGf0z3hq1p6T3xMcfIDH/WnYl6F+a9dyePSc1QYmWc+uc264Kk9alUKsTExKBTp06l+iQ5Q4kTMJxY9RGn9vP7VVcX4R0fiYiIiIgkxiSbiIiIiEhiTLKJiIiIiCTGJJuIiIiISGJMsomIiIiIJMYkm4iIiIhIYkyyiYiIiIgkxiSbiIiIiEhiTLKJiIiIiCTGJJuIiIiISGJMsomIiIiIJGai7w4QGboK4w/D3t5e390oNiqVCn/GxKDi1FOQy+X67k6xMpRYGScR0atxJJuIiIiISGJMsomIiIiIJMYkm4iIiIhIYkyyiYiIiIgkxiSbiIiIiEhiTLKJiIiIiCTGJJuIiIiISGJMsomIiIiIJMab0RDp2YcRH0JjrtF3N4qNqcwU41zHod237ZAtZOu7O8XKUGItzjjjP42XtD4iIn3hSDYRERERkcSYZBMRERERSYxJNhERERGRxJhkExERERFJjEk2EREREZHEmGQTEREREUmMSTYRERERkcSYZBMRERERSYxJNhERERGRxJhkExERERFJjEk2EREREZHEmGQTEREREUmMSTYRERERkcSYZBPlo1WrVhg3bpy+u0FEREQlFJNsKnYPHjyAXC5HRkYG1Go1LC0tkZKSolPm999/R8+ePeHo6Ahzc3NUr14dQ4cOxeXLl/XUa10vJ92vek5ERESGjUk2FbtTp07B29sbFhYWOH/+PMqWLQs3Nzdx/YEDB9CkSRNkZWVhy5YtSE5ORlRUFGxsbDBz5sx86xQEAWq1+l2FQERERPRamGRTsUtISECzZs0AACdPnhT/BoCMjAwMHDgQnTp1wv79+9G2bVtUqlQJjRs3xrJly/Dtt98CAOLi4iCTyXDw4EH4+PjAzMwMJ06cgCAIWLJkCSpXrowyZcrAy8sLu3bt0mk/KSkJnTp1gkKhgKOjI/r374+HDx+K6589e4aQkBAoFAo4OzsjPDz8HewVIiIiKs1M9N0BKp1SUlJQr149ALmJtLGxMSIjI5GZmQmZTAZbW1v07dsXgYGBePjwIaZMmZJvPba2tjrPp0yZgmXLlqFy5cqwtbXFjBkzsGfPHnzzzTeoVq0ajh8/jo8//hjlypWDv78/7t69C39/fwwdOhTLly9HZmYmpk6dil69euHo0aMAgMmTJyM2NhZ79+6Fk5MTPv/8c5w/fx7e3t6S7pOsrCxkZWWJz5VKJQDAVGYKjUwjaVvvE1OZqc6/pZmhxFqccapUKsnrfFPavrxPfSouhhKrocQJGE6s+oizqG0xyaZi4eLigsTERCiVSvj4+OD06dNQKBTw9vZGdHQ03NzcoFAoEBERAQCoWbNmkeqdO3cuAgMDAeSOQC9fvhxHjx6Fn58fAKBy5co4efIkvv32W/j7++Obb75BgwYNsGDBArGOiIgIuLq64vLly3BxccH69euxadMmsd6NGzeiYsWKUu4OAMDChQsxZ86cPMuHVBgCCwsLydt734ysOFLfXXhnDCXW4ogzJiZG8jrf1qFDh/TdhXfGUGI1lDgBw4n1XcaZkZFRpHJMsqlYmJiYwMPDAzt27ICvry+8vLwQHx8PR0dHtGzZUiwnCMJr1evj4yP+nZSUhOfPn4vJsVZ2djbq168PADh//jxiY2OhUCjy1HXt2jVkZmYiOztbTNIBoGzZsqhRo8Zr9asopk2bhgkTJojPlUolXF1dse7OOmjMS/dI9siKI7H69mpkC9n67k6xMpRYizPOX4b9Iml9b0OlUuHQoUMIDAyEXC7Xd3eKlaHEaihxAoYTqz7i1P4S/SpMsqlYeHp64ubNm1CpVNBoNFAoFFCr1VCr1VAoFHB3d8fFixdRvXp1AMDff/+tk+gWxNLSUvxbo8lNTKOjo1GhQgWdcmZmZmKZLl26YPHixXnqcnZ2xpUrV944xtdlZmYm9utF2UI2NELpTbK1soXsUp14vshQYi2OON/HZEAul7+X/SoOhhKrocQJGE6s7zLOorbDJJuKRUxMDFQqFdq0aYMlS5agYcOGCA4ORmhoKDp06CC+QNu1awcHBwcsWbIEe/fuzVPPkydP8szL1qpduzbMzMyQkpICf3//fMs0aNAAu3fvhoeHB0xM8r7cq1atCrlcjtOnT4tXPHn8+DEuX75cYJ1EREREr8Ikm4qFu7s7UlNTce/ePQQFBcHIyAhJSUno1q0bXFxcxHKWlpZYt24devbsia5du2LMmDGoWrUqHj58iB07diAlJQXbt2/Ptw0rKytMmjQJ48ePh0ajQfPmzaFUKpGQkACFQoEBAwZg1KhRWLt2Lfr06YPJkyfDwcEBV69exfbt27F27VooFAoMHjwYkydPhr29PRwdHTF9+nQYGfHCO0RERPTmmGRTsYmLi4Ovry/Mzc1x4sQJVKhQQSfB1goKCkJCQgIWLlyIvn37inOVW7dujfnz5xfaxrx581C+fHksXLgQ//zzD2xtbdGgQQN8/vnnAHJPwIyPj8fUqVPRvn17ZGVlwd3dHR06dBAT6aVLl+Lp06fo2rUrrKysMHHiRKSlpUm/Q4iIiMhgMMmmYhMcHIzg4GAAQIsWLQqd/+zj44Pdu3cXuL5Vq1b5niQpk8kwZswYjBkzpsBtq1Wrhj179hS4XqFQICoqClFRUeKyyZMn65SJi4t7redERERk2PibOBERERGRxJhkExERERFJjEk2EREREZHEmGQTEREREUmMSTYRERERkcSYZBMRERERSYxJNhERERGRxJhkExERERFJjEk2EREREZHEmGQTEREREUmMSTYRERERkcRM9N0BIkO3b9A+2Nvb67sbxUalUiEmJga/DPsFcrlc390pVoYSq6HESUT0NjiSTUREREQkMSbZREREREQSY5JNRERERCSx156T3bp1a0kalslkOHLkiCR1ERERERG9T147yY6Liyt0vUwmAwAIgpDvcu26F58TEREREZUmr51kz549O9/l2dnZ+Oabb/DkyRNUqFABrVq1QsWKFQEAd+7cQVxcHG7fvg07OzsMHz4cpqamb9dzIiIiIqL3lCRJtlqtRtu2bZGZmYlvv/0WQ4YMyTNSLQgC1q9fj08//RQJCQk4fPjwm/eaiIiIiOg9JsmJjytWrMCJEyewYsUKDB06NN+pIDKZDEOGDMGKFStw/PhxrFixQoqmiYiIiIjeOzLh5cnTb8Db2xvJyclQKpUwMzMrtGxWVhasrKxQu3ZtJCYmvm3TRCWWUqmEjY0NDvi3gkKj0Xd3io1gaoq0T0fDZtVXkGVn67s7xcpQYmWcpY+hxGoocQKGE6s2zk6dOr2zm2NpP7/T0tJgbW1dYDlJRrKvXbsGhULxygQbAMzMzGBlZYVr165J0TQRERER0XtHkiTbxMQET548wZ07d15Z9s6dO3j8+DFMTHhHdyIiIiIqnSRJsn18fAAAkyZNemVZbRntNkREREREpY0kSfaECRMgCAJ27NiBNm3aIDY2FiqVSlyvUqkQGxuLtm3bYseOHZDJZJgwYYIUTRMRERERvXckmbPRsWNHzJo1C3PnzkVcXBzi4uJgYmICBwcHyGQyPHjwAGq1WrxBzYwZM9CxY0cpmiYiIiIieu9IMpINAGFhYdi3bx9q1qwJQRCgUqlw9+5d/Pvvv1CpVBAEAbVq1cKePXswd+5cqZolIiIiInrvSHr2YdeuXdG1a1dcuHAB586dw/379wEA5cuXh4+PD+rWrStlc0RERERE7yVJkmztyPTAgQPh6uqKunXrMqEmIiIiIoMlSZI9Z84cGBsbY9q0aVJUR0RERERUokmSZDs4OCAnJ+ed3WmHiIiIiOh9JsmJj15eXnjy5AkePXokRXVERERERCWaJEn2sGHDoNFoEB4eLkV1REREREQlmiRJdvfu3TFhwgQsXrwYU6ZMwcOHD6WoloiIiIioRJJkTnbr1q0BAJaWlggPD8eKFStQtWpVlC9fHsbGxvluI5PJcOTIESmap/dYq1at4O3tjZUrV+q7K0RERETvjCRJdlxcnM7znJwcXLp0CZcuXSpwG5lMJkXTOh48eAAXFxekpaXB1NQUNjY2SE5OhpubGwDAw8MDN2/eBACYm5vD0dERjRo1wvDhw8UvCoZswYIFmDlzJr744gt89tlnxdJGq1atcOzYMQCAqakpHBwc0KBBAwwcOBDdunUrljaJiIiI3jVJkuzZs2dLUc1bO3XqFLy9vWFhYYEzZ86gbNmyYoKtNXfuXAwdOhTZ2dm4ceMGNm/ejLZt22LevHmYPn26nnr+ftiwYQOmTJmCiIiIYkuyAWDo0KGYO3cuVCoV7ty5g7179yI4OBihoaH47rvvCtxOpVLxCjZERERUIkgyJ3v27Nlv9JBaQkICmjVrBgA4efKk+PeLrKys4OTkBDc3N7Rs2RLfffcdZs6ciVmzZokj75GRkbC1tdXZbt++fTqj72FhYfD29kZUVBQ8PDxgY2OD4OBgpKeni2XS09PRr18/WFpawtnZGStWrECrVq0wbtw4sUx2djamTJmCChUqwNLSEo0bN87zy8Du3bvh6ekJMzMzeHh45DnB1MPDAwsWLMCgQYNgZWUFNzc3nWQ1Ozsbo0ePhrOzM8zNzeHh4YGFCxfq1HHs2DFkZmZi7ty5ePbsGY4fP66zvijxPnv2DCEhIVAoFHB2di7wRFgLCws4OTnB1dUVTZo0weLFi/Htt99i7dq1OHz4MADgxo0bkMlk2LFjB1q1agVzc3Ns3rwZjx49Qp8+fVCxYkVYWFigbt262LZtm079Rdnvjx8/RkhICOzs7GBhYYGOHTviypUr4nrta+DgwYOoVasWFAoFOnTogLt374pl4uLi0KhRI1haWsLW1hbNmjUTfykhIiIiwybpbdX1ISUlBfXq1QMAZGRkwNjYGJGRkcjMzIRMJoOtrS369u2L1atXF1jH2LFjMW/ePPzwww+YMmVKkdu+du0a9u3bhwMHDuDx48fo1asXFi1ahC+++AIAMGHCBMTHx2P//v1wdHTErFmz8Ntvv8Hb21usY+DAgbhx4wa2b98OFxcX7N27Fx06dMCFCxdQrVo1nD9/Hr169UJYWBh69+6NhIQEjBw5Evb29ggNDRXrCQ8Px7x58/D5559j165dGDFiBFq2bImaNWvif//7H/bv348dO3bAzc0Nt27dwq1bt3RiWb9+Pfr06QO5XI4+ffpg/fr1aNmy5WvFO3nyZMTGxmLv3r1wcnLC559/jvPnz+vEW5ABAwZg4sSJ2LNnD9q2bSsunzp1KsLDw7FhwwaYmZnh+fPnaNiwIaZOnQpra2tER0ejf//+qFy5Mho3blzk/R4aGoorV65g//79sLa2xtSpU9GpUyckJSWJo+UZGRlYtmwZoqKiYGRkhI8//hiTJk3Cli1boFar8eGHH2Lo0KHYtm0bsrOz8euvvxY6DSorKwtZWVnic6VSCQAQ5CYQhFfuohJL+P/7UzCAXyEMJVbGWfoYSqyGEidgOLFq41OpVO+szaK2VeKTbBcXFyQmJkKpVMLHxwenT5+GQqGAt7c3oqOj4ebmBoVCUWgdZcuWRfny5XHjxo3Xaluj0SAyMhJWVlYAgP79++PIkSP44osvkJ6ejo0bN2Lr1q1o06YNgNzpGC4uLuL2165dw7Zt23D79m1x+aRJk/Dzzz9jw4YNWLBgAZYvX442bdpg5syZAIDq1asjKSkJS5cu1UmyO3XqhJEjRwLITUxXrFiBuLg41KxZEykpKahWrRqaN28OmUwGd3d3nTiUSiV2796NhIQEAMDHH3+MZs2aYdWqVbC2ti5SvE+fPsX69euxadMmBAYGAgA2btyIihUrFmlfGhkZoXr16nmOwbhx4/LM1Z40aZL496effoqff/4ZO3fuROPGjYu037XJdXx8PJo2bQoA2LJlC1xdXbFv3z707NkTQO6baM2aNahSpQoAYPTo0Zg7d664z9LS0tC5c2dxfa1atQqNceHChZgzZ06e5emDBiHHwuKV+6ikUw4fpu8uvDOGEivjLH0MJVZDiRMwnFgPHTr0ztrKyMgoUjnJk+zffvsN27Ztw7lz53D//n3IZDKUK1cOvr6+6NOnD+rXry9peyYmJvDw8MCOHTvg6+sLLy8vxMfHw9HRMc9IbGEEQXjtkzE9PDzEhBMAnJ2dcf/+fQDAP//8A5VKhUaNGonrbWxsUKNGDfH5b7/9BkEQUL16dZ16s7KyYG9vDwBITk5GUFCQzvpmzZph5cqVyMnJEa/eoh3NB3JPKnVychL7EhoaisDAQNSoUQMdOnRA586d0a5dO7H81q1bUblyZXh5eQEAvL29UblyZWzfvh2ffPJJkeK9du0asrOz4efnJ64vW7asTryvkt8x8PHx0Xmek5ODRYsW4fvvv8edO3fE0WFLS0sARdvvycnJMDExEUe+AcDe3h41atRAcnKyuMzCwkJMoF+Ot2zZsggNDUX79u0RGBiItm3bolevXnB2di4wvmnTpmHChAnic6VSCVdXV1hFREBRykeylcOHwXrNt5C9w5EGfTCUWBln6WMosRpKnIDhxKqNMzAw8J2dt6X9JfpVJEuynz17hqFDh+L7778HkJswvej48eMIDw9HcHAwvvvuOzEpeluenp64efMmVCoVNBoNFAoF1Go11Go1FAoF3N3dcfHixULrePToER48eIBKlSoByB1Vfbn/+f008PLBlMlk0Gg0AP4v/peTxhfr1Wg0MDY2xvnz5/Nc6lA7+p5f4vly317VlwYNGuD69ev46aefcPjwYfTq1Qtt27bFrl27AAARERG4ePEiTEz+7+Wg0Wiwfv16nSS7KPG+qZycHFy5cgW+vr46y19+nWgvEbly5UrUrVsXlpaWGDduHLKzs3X6Udg+K6ivL+/r/OJ9cdsNGzZgzJgx+Pnnn/H9999jxowZOHToEJo0aZJv/WZmZjAzM8uzXKZSQ/b/92NpJlOpIPv/x6m0M5RYGWfpYyixGkqcgOHEKpfL31mSXdR2JEmyNRoNgoKCEBsbC0EQ4OzsjNatW4tTBW7fvo3Y2Fj8+++/2L59O+7fv49ffvlFksv4xcTEQKVSoU2bNliyZAkaNmwoXqmiQ4cORdoRX375JYyMjPDhhx8CAMqVK4f09HQ8e/ZMTPISExNfq19VqlSBXC7Hr7/+CldXVwC533yuXLkCf39/AED9+vWRk5OD+/fvo0WLFvnWU7t2bZw8eVJnWUJCAqpXr17gNcjzY21tjd69e6N3797o0aMHOnTogP/++w937tzBuXPnEBcXh7Jly4rlnzx5gpYtW+Kvv/5CnTp1Xll/1apVIZfLcfr0afGKLo8fP8bly5fFeAuzceNGPH78GN27dy+03IkTJxAUFISPP/4YQO5r78qVK+JUjaLs99q1a0OtVuPMmTPidJFHjx7h8uXLr5zy8bL69eujfv36mDZtGvz8/LB169YCk2wiIiIyHJIk2Zs2bcLRo0chl8sRHh6OkSNHwshI98IlGo0Ga9aswfjx43H06FFERUUhJCTkrdt2d3dHamoq7t27h6CgIBgZGSEpKQndunXTmYerlZ6ejtTUVKhUKly/fh2bN2/GunXrsHDhQlStWhUA0LhxY1hYWODzzz/Hp59+il9//RWRkZGv1S8rKysMGDAAkydPFud8z549G0ZGRuKXi+rVq6Nfv34ICQlBeHg46tevj4cPH+Lo0aOoW7cuOnXqhIkTJ8LX1xfz5s1D7969cerUKXz11VeFnsj5shUrVsDZ2Rne3t4wMjLCzp074eTkBFtbW8ydOxeNGjXKd2qNn58f1q9fjxUrVryyDYVCgcGDB2Py5Mmwt7eHo6Mjpk+fnud1AOTOZUpNTYVarcadO3ewZ88erFixAiNGjEBAQECh7VStWlWcP25nZ4fly5cjNTVVTI6Lst+rVauGoKAgDB06FN9++y2srKzw2WefoUKFCnmm5hTk+vXr+O6779C1a1e4uLjg0qVLuHz5siSvaSIiIir5JLmE3+bNmyGTybB06VKMHj0638TKyMgII0eOxLJlyyAIAjZt2iRF0wByL6Xm6+sLc3NznDlzBhUqVMg3wQaAWbNmwdnZGVWrVkX//v2RlpaGI0eOYOrUqWKZsmXLYvPmzYiJiREvERcWFvba/Vq+fDn8/PzQuXNntG3bFs2aNUOtWrVgbm4ultmwYQNCQkIwceJE1KhRA127dsWZM2fEUdgGDRpgx44d2L59O+rUqYNZs2Zh7ty5Oic9vopCocDixYvh4+MDX19f3LhxAzExMVCr1di8eXOBo8fdu3fH5s2bxakYr7J06VK0bNkSXbt2Rdu2bdG8eXM0bNgwT7m1a9fC2dkZVapUwUcffYSkpCR8//33RfriMHPmTDRo0ADt27dHq1at4OTkJP4CoVXU/d6wYUN07twZfn5+EAQBMTExRf4JyMLCAn///Te6d++O6tWr45NPPsHo0aMxbJhhnGBCREREhZMJbzuZFrnTK9LS0pCWloYyZcoUWjYzMxM2NjawtrbGw4cP37bpEuXZs2eoUKECwsPDMXjwYH13x2C8r/tdqVTCxsYGB/xbQVGK52QLpqZI+3Q0bFZ9VernBRpKrIyz9DGUWA0lTsBwYtXG2alTp3d64qONjQ3S0tJ0rsL2Mkmmi6Snp8PKyuqVCTYAlClTBlZWVnj69KkUTb/Xfv/9d/z9999o1KgR0tLSxMu/FXVKAr0Z7nciIiLSN0mSbAcHB6SmpuL+/fsoX758oWXv37+PJ0+ewMnJSYqm33vLli3DpUuXYGpqioYNG+LEiRNwcHDQd7dKPe53IiIi0idJkmw/Pz/s2bMHYWFhr5xXO3v2bAiCkO8tz0ub+vXr4/z58/ruhsHhficiIiJ9k+TEx1GjRkEQBHz77bfo378/rl69mqfM1atX8fHHH+Pbb7+FTCbDqFGjpGiaiIiIiOi9I8lIdqtWrTBu3DisXLkSW7duxdatW+Hq6ooKFSpAJpPh1q1buH37tlh+/PjxRbp2MhERERFRSSTZHR+XL1+OypUrIywsDP/99x9SUlKQkpKiU8be3h5hYWEcxSYiIiKiUk2yJBsARo8ejSFDhuDQoUM4d+4c7t+/DwAoX748fHx8EBgYqHOtYiIiIiKi0kjSJBsAzM3N0aVLF3Tp0kXqqomIiIiISgRJTnwkIiIiIqL/I9mJj61bt0arVq3QpEkTmJqaSlEtEREREVGJJEmSffz4cZw4cQJz5syBubk5/Pz8EBAQgICAADRu3BjGxsZSNENEREREVCJIkmR/8cUXiI2NRUJCAjIyMnD06FHExsYCACwsLNC8eXMx6W7YsCGMjDhLhUirye5dsLe313c3io1KpUJMTAya/RQDuVyu7+4UK0OJlXGWPoYSq6HECRhOrNo430eSJNnTpk3DtGnToFKpcPr0acTGxuLo0aM4c+YMnj17hoMHD+KXX34BAFhZWaFFixZo3bo1xo8fL0XzRERERETvFUmHlOVyOVq0aIFZs2YhLi4Ojx8/xqFDhzBt2jRx2ohSqUR0dDQmTZokZdNERERERO8NyS/h9yJzc3O0atUKZcqUgbm5OVQqFX777TcIglCczRIRERER6VWxJNm//fYbjh49iqNHj+LkyZN49uwZAEAQBCgUCjRv3hytW7cujqaJiIiIiPROkiQ7KSlJTKqPHTuGJ0+eAMhNqs3NzREQEIDWrVsjICAAjRo14tVGiIiIiKhUkyTJrlOnDmQyGYDcednNmjUTE2s/Pz9eN5uIiIiIDIqk00Wsra0xatQodO7cGY0aNeKl+oiIiIjIIEmSBQcGBsLCwgJpaWlYuHAhmjVrBjs7O3Tp0gXLly9HYmKiFM0QEREREZUIkoxkHzx4EGq1GmfOnBHnZp8+fRrR0dHiBcLt7OzE26+3bt0aNWvWlKJpIiIiIqL3jkwopuvpZWVlISEhAUeOHMHRo0dx7tw5qNVqce62k5MT7ty5UxxNE5UISqUSNjY2WDpmG8xNLPXdnWIjMxZQsZmA2/EyCDkyfXenWBlKrIyz9DGUWLVxdurUqVTfBRH4vzshlvZY9RGn9vM7LS0N1tbWBZYrtutkm5mZibdSV6vVOHToEObOnYszZ84AAFJTU4uraSIiIiIivSqWJFsQBJw/f16cOhIfH4+MjAydMmZmZsXRNBERERGR3kmWZP/1119iUn38+HGkpaUBgHh3R7lcDl9fX/HSfk2bNpWqaSIiIiKi94okSbajoyMePnwI4P+SamNjY9SvX19Mqps3bw5Ly9I775SIiIiISEuSJPvBgweQyWSoW7eueGdHf3//QieDExERERGVVpIk2Tt37kRAQADKli0rRXVERERERCWaJEl29+7dpaiGiIiIiKhUkOSOj4MGDRIvzUdEREREZOgkSbIjIyPRtGlTeHl5YfXq1VAqlVJUS0RERERUIkmSZDdr1gyCIODChQv49NNP4eLigsGDB3N0m4iIiIgMkiRJ9okTJ5CcnIzx48fD3t4eGRkZOqPb33zzDUe3iYiIiMhgSJJkA0CNGjUQHh6OO3fuYOvWrWjVqhUA4MKFCxg9ejRcXFwwZMgQjm4TERERUaknWZKtJZfLERwcjCNHjuDKlSuYMmUKypcvj4yMDERERHB020CFhYXB29u7RLQtk8mwb9++YusPERERlX6SJ9kvqly5MhYtWoTbt29j9+7daNy4MQRBwF9//SWObn/yySdITk4uzm7QG3jw4AHkcjkyMjKgVqthaWmJlJQUcb2HhwdWrlz5TvsUHByMjh076iz76aefIJPJMHPmTJ3l8+bNg4uLCwBg0qRJOHLkSLH0adiwYZDJZO98XxAREdH7rViTbK3jx49jx44dSExMhEwmE2+9npGRgfXr16NevXoYN24cNBrNu+gOFcGpU6fg7e0NCwsLnD9/HmXLloWbm5te+xQQEICTJ09CrVaLy+Li4uDq6orY2FidsnFxcQgICAAAKBQK2NvbS96fffv24cyZM2IyT0RERKRVbEn2gwcPsGTJElSvXh1t27bF999/j6ysLDRo0ADr1q3D48ePsXPnTrRo0QI5OTlYtWoVFi5cWFzdodeUkJCAZs2aAQBOnjwp/l2QlJQUBAUFQaFQwNraGr169cK9e/fylIuKioKHhwdsbGwQHByM9PR0cV2rVq0wZswYTJkyBWXLloWTkxPCwsLE9QEBAXj69CnOnTsnLouLi8Nnn32Gs2fPIiMjAwCQnZ2NU6dOiUl2ftNFIiIi4OnpCTMzMzg7O2P06NEFxjZ37lw4OjoiMTFRXHbnzh2MHj0aW7ZsgVwuL3TfEBERkeGR5I6PLzp06BC+++477N+/H2q1GoIgwMLCAn369MGIESPQoEEDsWz37t3RvXt3fPfddxg+fDg2bNiA6dOnS90lKqKUlBTUq1cPQO6vDMbGxoiMjERmZiZkMhlsbW3Rt29frF69Wmc7QRDw4YcfwtLSEseOHYNarcbIkSPRu3dvxMXFieWuXbuGffv24cCBA3j8+DF69eqFRYsW4YsvvhDLbNy4ERMmTMCZM2dw6tQphIaGolmzZggMDET16tXh4uKC2NhYNGnSBOnp6fjtt99w4MABfPXVV4iPj0dgYCBOnz6NzMxMMcl+2TfffIMJEyZg0aJF6NixI9LS0hAfH5+nnCAIGDduHPbt24eTJ0+iWrVqAACNRoP+/ftj8uTJ8PT0LPL+zcrKQlZWlvhce06CzFiAzFgocj0ljTa20hyjlqHEyjhLH0OJVRufSqXSc0+KnzbG0h6rPuIsaluSJNmpqamIiIjA+vXrcePGDXE6SO3atTF8+HCEhITA2tq6wO0/+eQTfPbZZzpzfundc3FxQWJiIpRKJXx8fHD69GkoFAp4e3sjOjoabm5uUCgUebY7fPgw/vzzT1y/fh2urq4AckesPT09cfbsWfj6+gLITU4jIyNhZWUFAOjfvz+OHDmik2TXq1cPs2fPBgBUq1YNX331FY4cOYLAwEAAuaPdcXFxmDZtGk6cOIHq1aujXLly8Pf3R1xcHAIDA8UpJFWqVMk3zvnz52PixIkYO3asuEzbRy21Wo2QkBCcO3cO8fHxqFixorhu8eLFMDExwZgxY15r/y5cuBBz5szJs9zFF7CwKN0fbABQoQkAlP44AcOJlXGWPoYS66FDh/TdhXfGUGJ9l3Fqfzl/FUmSbHd3d3HU2tTUFN27d8fw4cPRokWLItdhbW2NtLQ0KbpDb8jExAQeHh7YsWMHfH194eXlhfj4eDg6OqJly5YFbpecnAxXV1cxwQZyv2DZ2toiOTlZTGA9PDzEBBsAnJ2dcf/+fZ26tCPpBZUJCAjAuHHjoFKpEBcXJ14q0t/fH6tWrQKQO4WkdevW+fb1/v37+Pfff9GmTZtC98X48eNhZmaG06dPw8HBQVx+/vx5fPnll/jtt98gk8kKreNl06ZNw4QJE8TnSqUSrq6u+PcsYG7yenWVJDJjARWaAHdOA0JO6Y0TMJxYGWfpYyixauMMDAws9VP9VCoVDh06VOpj1UecRb06niRJtkqlQqVKlTBs2DAMGjRIJykpqu+//x7Pnz+Xojv0hjw9PXHz5k2oVCpoNBooFAqo1Wqo1WooFAq4u7vj4sWLebYTBCHfhPPl5S+/+GUyWZ6TXV9VJiAgAM+ePcPZs2cRGxuLyZMnA8hNskNCQvDff//h1KlTGDBgQL4xlilT5hV7IVdgYCC2bduGgwcPol+/fuLyEydO4P79+zongebk5GDixIlYuXIlbty4UWCdZmZmMDMzy7NcyJFBeM2EveQRcuMsxR/e/8dQYmWcpY+hxCpALpeX6sTzRYYS67uMs6jtSJJk//TTT2jfvv1b1dG4cWMpukJvISYmBiqVCm3atMGSJUvQsGFDBAcHIzQ0FB06dCjwRVW7dm2kpKTg1q1b4mh2UlIS0tLSUKtWLUn7WKVKFbi6umL//v1ITEyEv78/gNwRbw8PD4SHh+P58+cFzse2srKCh4cHjhw5UmAZAOjatSu6dOmCvn37wtjYGMHBwQByp7i0bdtWp2z79u3Rv39/DBw4UKIoiYiIqKSTJMl+2wSb3g/u7u5ITU3FvXv3EBQUBCMjIyQlJaFbt26FXqaubdu2qFevHvr164eVK1eKJz76+/vDx8dH8n4GBARg9erVqFq1KhwdHcXl2ikjlStXLvRyg2FhYRg+fDjKly+Pjh07Ij09HfHx8fj00091yn300UeIiopC//79YWJigh49esDe3j7P5QDlcjmcnJxQo0YNaQMlIiKiEkvyS/hpNBqcPXsWu3btwqZNm6SunopZXFwcfH19YW5ujjNnzqBChQr5JtgajQYmJrnf0bR3SLSzs0PLli3Rtm1bVK5cGd9//32x9DEgIADp6enifGwtf39/pKenFzpCDQADBgzAypUrsXr1anh6eqJz5864cuVKvmV79OiBjRs3on///tizZ49UIRAREVEpJxO0lwKRwKpVqzB//nw8fPhQXJaTkyP+/fjxY7Ro0QJqtRoJCQkoW7asVE3TO5STkwNra2ts3LgRPXr00Hd3SiylUgkbGxssHbMN5iaW+u5OsZEZC6jYTMDt+NI/19NQYmWcpY+hxKqNs1OnTqV+nrJKpUJMTEypj1UfcWo/v9PS0gq9ep5kI9mjR4/GuHHj8ODBA1hZWeV7IpydnR0aNmyIK1eu4MCBA1I1Te/Q7du3sXjxYuTk5KB58+b67g4RERHRe0mSJPvgwYNYvXo1FAoF9u7diydPnqBcuXL5lu3bty8EQcD+/fulaJreMW9vb2zcuBFRUVFwcnLSd3eIiIiI3kuSnPi4Zs0ayGQyzJ07F0FBQYWW9fPzAwCdW1RTyfHiVCAiIiIiyp8kI9mnT58GAAwaNOiVZa2trWFtbY27d+9K0TQRERER0XtHkiT7v//+g42Njc7d/Apt1MhI54RIIiIiIqLSRJIk29raGkqlEiqV6pVlHz58iCdPnrzRXSGJiIiIiEoCSZJsT09PCIKAs2fPvrJsVFQUAKBhw4ZSNE1ERERE9N6RJMnu1q0bBEFAWFgYNBpNgeUSEhIwa9YsyGQy9OrVS4qmiYiIiIjeO5Ik2cOGDUPVqlVx5MgRdOjQAT///LOYbD98+BBHjx7FJ598goCAADx79gxeXl7o06ePFE0TEREREb13JLmEn5mZGaKjo9GuXTscPnwYR44cEdc5OjqKfwuCgCpVqmDPnj0wMpL8ju5ERERERO+FN8p009PT8yyrVq0aEhMTMXHiRNjZ2UEQBJ2HlZUVxo0bh19//RUeHh6YP3/+W3eeiIiIiOh99EZJdpcuXZCVlZVnuY2NDZYuXYqHDx/ir7/+wi+//IKffvoJv//+Ox49eoTly5fDzs4OX3zxBWbPnv3WnSciIiIieh+90XSR48ePo1evXti7d2+B0z5q166N2rVr51m+aNEizJw5EzKZ7E2aJip1Bs4KhL29vb67UWxUKhViYmLwyRcdIZfL9d2dYmUosTLO0sdQYtXGSfQuvNFItrGxMQ4cOIDQ0NDX2m7x4sX4/PPPAQDt27d/k6aJiIiIiN57b5Rkf/fddwCALVu2YNy4cUXaZtmyZZg2bRoAoF27dti7d++bNE1ERERE9N57oyR74MCBWLZsGQRBwKpVqzBnzpxCyy9fvhxTpkwBALRt2xb79u2DmZnZmzRNRERERPTee+Pr6I0fPx4zZsyAIAiYO3cuvv7663zLrVy5EpMmTQIAtGnTBvv374e5ufmbNktERERE9N57q4tVz507FyNHjoQgCBg7diy2bt2qs/5///sfJkyYAAAICAhggk1EREREBuGt7wjz1VdfoW/fvtBoNBg4cCCio6MBAKtWrcL48eMBAP7+/vjxxx9RpkyZt22OiIiIiOi9J8kdHzdu3Ii0tDRER0ejV69eGDx4ML766isAQMuWLREdHQ0LCwspmiIiIiIieu9Jcm9zY2Nj7Nq1Cy1btkRmZqY4P7tZs2ZMsImIiIjI4Egykg0AZmZm+PHHHxEQEIDffvsNzZo1w88//wxLS0upmiAqlf736TCYSvJ19/1kZCJH7Y+CsWxoCDRqlb67U6wMJVbGWfqUtFinb96l7y4QvdIbJdnGxsaFrpfJZEhISIC1tXWhZdRq9Zs0T0RERET0XnujJFsQBKn7QURERERUarxRkj179myp+0FEREREVGowySYiIiIiklgpPt2KiIiIiEg/mGQTEREREUmMSTYRERERkcSYZBMRERERSYxJNhERERGRxJhkExERERFJjEk2EREREZHEmGQTEREREUmMSTYRERERkcSYZBMAQCaTYd++fe+krbCwMHh7e7+TtorCw8MDK1euLLTMu9w/REREVPIxyS5mDx48gFwuR0ZGBtRqNSwtLZGSkiKufznBEwQBEydOhJWVFY4ePaqHHr+ZghLn4k5Od+/ejVatWsHGxgYKhQL16tXD3Llz8d9//0nazt27d9GxY0dJ6yQiIqLSi0l2MTt16hS8vb1hYWGB8+fPo2zZsnBzc8u3bE5ODgYPHoxNmzbh6NGjaN269Tvubckyffp09O7dG76+vvjpp5/w119/ITw8HH/88QeioqIkbcvJyQlmZmaS1klERESll4m+O1DaJSQkoFmzZgCAkydPin+/LCsrC3369MHZs2dx/Phx1KpVS1zn4eGBTz75BFevXsXOnTthZ2eHGTNm4JNPPhHLXLhwAWPHjsWpU6dgYWGB7t27Y/ny5VAoFGKZiIgIhIeH4+rVqyhbtiy6d++Or776Kt/+zJ07F19//TUOHjwIb29vTJ06FXv37sXt27fh5OSEfv36YdasWZDL5YiMjMScOXMA5I5cA8CGDRsQFhYGAPjoo48AAO7u7rhx44bYRlRUFGbOnInHjx+jY8eOWLt2LaysrADkjugvXboUa9aswd27d1G9enXMnDkTPXr0AAD8+uuvWLBgAVauXImxY8fq7KvAwEA8efIEAHDt2jVMmDABp0+fxrNnz1CrVi0sXLgQbdu21Yk3PT0dffv2xf79+2FtbY1p06bh008/FdfLZDLs3bsXH374IW7cuIFKlSph9+7dWLVqFc6cOYNq1aphzZo18PPzy3d/ao9xVlaW+FypVAIAjEyMYWRUer/vGpmY6PxbmhlKrIyz9ClpsapUqrfa7k23L0kMJVZ9xFnUtkrGu6mESUlJQb169QAAGRkZMDY2RmRkJDIzMyGTyWBra4u+ffti9erVAICnT5/igw8+wK1btxAfH5/vSHd4eDjmzZuHzz//HLt27cKIESPQsmVL1KxZExkZGejQoQOaNGmCs2fP4v79+xgyZAhGjx6NyMhIAMA333yDCRMmYNGiRejYsSPS0tIQHx+fpx1BEDBu3Djs27cPJ0+eRLVq1QAAVlZWiIyMhIuLCy5cuIChQ4fCysoKU6ZMQe/evfHXX3/h559/xuHDhwEANjY2+OCDD1C+fHls2LABHTp0gLGxsdjOtWvXsG/fPhw4cACPHz9Gr169sGjRInzxxRcAgBkzZmDPnj345ptvUK1aNRw/fhwff/wxypUrB39/f2zZsgUKhQIjR47M9xjY2tqK+7ZTp06YP38+zM3NsXHjRnTp0gWXLl3S2c9Lly7F559/jrCwMBw8eBDjx49HzZo1ERgYWOBxnj59OpYtW4Zq1aph+vTp6NOnD65evQqTAj6kFi5cKH4ZeVH1jh/CwsKiwHZKi5pdeui7C++MocTKOEufkhJrTEzMW21/6NAhiXry/jOUWN9lnBkZGUUqJxMEQSjmvhgctVqN27dvQ6lUwsfHB2fPnoVCoYC3tzeio6Ph5uYGhUIBBwcHeHh44O7du7CyskJSUhLKly+fpz4PDw+0aNFCnAIhCAKcnJwwZ84cDB8+HGvXrsXUqVNx69YtWFpaAsj9D6hLly74999/4ejoiAoVKmDgwIGYP39+vn2WyWTYuXMnfvjhB5w7dw6HDh1CxYoVC4xx6dKl+P7773Hu3DkAuXOy9+3bh8TExDz1akeAtcLCwrB06VKkpqaKI9dTpkzB8ePHxRFnBwcHHD16VGdkeMiQIcjIyMDWrVvRqVMn3LlzB3/88cerD8hLPD09MWLECIwePRpA7v6tVasWfvrpJ7FMcHAwlEql+B95fiPZ69atw+DBgwEASUlJ8PT0RHJyMmrWrJlvu/mNZLu6uiKsfy+YlvKR7JpdeuDvH3dBo1bruzvFylBiZZylT0mLddLaTW+0nUqlwqFDhxAYGAi5XC5xr94vhhKrPuJUKpVwcHBAWloarK2tCyzHkexiYGJiAg8PD+zYsQO+vr7w8vJCfHw8HB0d0bJlyzzl27Vrh8OHD4vTH/KjHRkHchM+Jycn3L9/HwCQnJwMLy8vMcEGgGbNmkGj0eDSpUuQyWT4999/0aZNm0L7PX78eJiZmeH06dNwcHDQWbdr1y6sXLkSV69exdOnT6FWqwt9Yb2Kh4eHmGADgLOzsxhPUlISnj9/nmcUOTs7G/Xr1weQ+0VDOzWlMM+ePcOcOXNw4MAB/Pvvv1Cr1cjMzNQ5+RRAnmkefn5+r7ziyIvHxNnZGQBw//79ApNsMzOzfOd1a9Q50BjlvDKWkk6jVkOjLt0/W2oZSqyMs/QpKbG+bTIll8tLdeL5IkOJ9V3GWdR2mGQXA09PT9y8eRMqlQoajQYKhQJqtRpqtRoKhQLu7u64ePGiWL5NmzYYM2YMgoKCkJOTg1WrVuWp8+UDKpPJoNFoABSecMpkMpQpU6ZI/Q4MDMS2bdtw8OBB9OvXT1x++vRpBAcHY86cOWjfvj1sbGywfft2hIeHF6ne/BQWj/bf6OhoVKhQQaecNkmtXr06Tp48CZVKVeiLffLkyTh48CCWLVuGqlWrokyZMujRoweys7Nf2cdXJfEvtqstq+07ERERGbbS+xu1HsXExCAxMRFOTk7YvHkzEhMTUadOHaxcuRKJiYn5ziULDAzEgQMHEBERgVGjRuF1ZvHUrl0biYmJePbsmbgsPj4eRkZGqF69OqysrODh4YEjR44UWk/Xrl2xdetWDBkyBNu3b9epy93dHdOnT4ePjw+qVauGmzdv6mxramqKnJy8o7FyuTzf5a+Kx8zMDCkpKahatarOw9XVFQDQt29fPH36VJzX/jLtiY8nTpxAaGgoPvroI9StWxdOTk46J19qnT59Os/zgkakiYiIiF6FI9nFwN3dHampqbh37x6CgoJgZGSEpKQkdOvWDS4uLgVu17p1a0RHR6Nz584QBAFff/11kaZE9OvXD7Nnz8aAAQMQFhaGBw8e4NNPP0X//v3h6OgIIHce9PDhw1G+fHl07NgR6enpiI+P17mCBpB7JZCoqCj0798fJiYm6NGjB6pWrYqUlBRs374dvr6+iI6Oxt69e3W28/DwwPXr15GYmIiKFSvCysoKZmZmYnLfrFkzmJmZwc7O7pXxWFlZYdKkSRg/fjw0Gg2aN28OpVKJhIQEKBQKDBgwAI0bN8aUKVMwceJE3LlzBx999BFcXFxw9epVrFmzBs2bN8fYsWNRtWpV7NmzB126dIFMJsPMmTPzHW2Oj4/HkiVL8OGHH+LQoUPYuXMnoqOjX9lXIiIiovxwJLuYxMXFwdfXF+bm5jhz5gwqVKhQaIKt1apVK8TExCAqKgojRowo0oi2hYUFDh48iP/++w++vr7o0aMH2rRpo3N5vgEDBmDlypVYvXo1PD090blzZ1y5ciXf+nr06IGNGzeif//+2LNnD4KCgjB+/HiMHj0a3t7eSEhIwMyZM3W26d69Ozp06ICAgACUK1cO27ZtA5B7VZRDhw7B1dVVnE9dFPPmzcOsWbOwcOFC1KpVC+3bt8ePP/6ISpUqiWUWL16MrVu34syZM2jfvj08PT0xYcIE1KtXDwMGDAAArFixAnZ2dmjatCm6dOmC9u3bo0GDBnnamzhxIs6fP4/69etj3rx5CA8PR/v27YvcXyIiIqIX8eoiRHqiVCphY2ODWX26w7QUf901MpGj9kfBSNq7vUScUPU2DCVWxln6lLRYp2/e9UbbqVQqxMTEoFOnTqX+ZEBDiVUfcWo/v191dZFS/NFORERERKQfTLKJiIiIiCTGJJuIiIiISGJMsomIiIiIJMYkm4iIiIhIYkyyiYiIiIgkxiSbiIiIiEhiTLKJiIiIiCTGJJuIiIiISGJMsomIiIiIJMYkm4iIiIhIYib67gCRoRuz6lvY29vruxvFRqVSISYmBpPWboJcLtd3d4qVocTKOEsfQ4qV6F3hSDYRERERkcSYZBMRERERSYxJNhERERGRxJhkExERERFJjEk2EREREZHEmGQTEREREUmMSTYRERERkcSYZBMRERERSUwmCIKg704QGSKlUgkbGxucmvUDbEwV+u5OsckxEnCt9lNUSVLAWCPTd3eKlaHEyjhLH0OJ1VDiBAwn1oLirDW9dbG1qf38TktLg7W1dYHlOJJNRERERCQxJtlERERERBJjkk1EREREJDEm2UREREREEmOSTUREREQkMSbZREREREQSY5JNRERERCQxJtlERERERBJjkk1EREREJDEm2UREREREEmOSTUREREQkMSbZREREREQSY5JNRERERCQxJtlERERERBJjkk2v5cGDB5DL5cjIyIBarYalpSVSUlLE9b///js6d+6M8uXLw9zcHB4eHujduzcePnyox16/mfDwcNjY2CAjIyPPuufPn8PW1hbLly8HAHh4eGDlypXvuIdERET0vmKSTa/l1KlT8Pb2hoWFBc6fP4+yZcvCzc0NAHD//n20bdsWDg4OOHjwIJKTkxEREQFnZ+d8E9WiyM7OlrL7ryUkJASZmZnYvXt3nnW7d+9GRkYG+vfvr4eeERER0fvORN8doJIlISEBzZo1AwCcPHlS/Fu7TqlUYt26dTAxyX1pVapUCa1bt9ap4+LFi5gyZQpOnDgBQRDg7e2NyMhIVKlSBaGhoXjy5AkaN26MVatWwdTUFDdu3MCdO3cwYcIE/PLLLzAyMkLz5s3x5ZdfwsPDAwBw9uxZfP755/j999+hUqng7e2NFStWoEGDBmK7MpkMa9aswY8//oijR4/C3d0dERERKFeuHIYMGYKzZ8+iXr162Lx5M6pUqYJy5cqhS5cuiIiIyJNMR0REoGvXrihXrlyR911WVhaysrLE50qlEgCgMRKQYyQUuZ6SRvP/Y9OU4hi1DCVWxln6GEqshhInYDixFhSnSqUqtjaLWjeTbHqllJQU1KtXDwCQkZEBY2NjREZGIjMzEzKZDLa2tujbty9CQkKgVquxd+9e9OjRAzKZLE9dd+7cQcuWLdGqVSscPXoU1tbWiI+Ph1qtFsscOXIE1tbWOHToEARBQEZGBgICAtCiRQscP34cJiYmmD9/Pjp06IA///wTpqamSE9Px4ABA/C///0PQO5Uj06dOuHKlSuwsrIS6543bx6WL1+O5cuXY+rUqejbty8qV66MadOmwc3NDYMGDcLo0aPx008/AQAGDx6Mzp074/r166hUqRIA4MaNG4iNjUV0dPRr7ceFCxdizpw5eZbfrJ4BC4vXqqpEul7zmb678M4YSqyMs/QxlFgNJU7AcGJ9Oc5rMTHF1lZRf52XCYJQur/i0FtTq9W4ffs2lEolfHx8cPbsWSgUCnh7eyM6Ohpubm5QKBRwcHDA9OnTsWTJElhbW6NRo0Zo3bo1QkJC4OjoCAD4/PPPsX37dly6dAlyuTxPW6Ghofj555+RkpICU1NTALmjxkuWLEFycrKYuGdnZ8PW1hb79u1Du3bt8tSTk5MDOzs7bN26FZ07dwaQO5I9Y8YMzJs3DwBw+vRp+Pn5Yf369Rg0aBAAYPv27Rg4cCAyMzPFetzd3TF48GAxQZ49ezbWr1+PmzdvwtjYGEDunOxx48Zh3LhxBe7H/EayXV1dER+2D9amiqIfkBJGYyTges1nqPS3JYw0eb94lSaGEivjLH0MJVZDiRMwnFgLirPGpJbF1qZSqYSDgwPS0tJgbW1dYDmOZNMrmZiYwMPDAzt27ICvry+8vLwQHx8PR0dHtGyp+yL+4osvMGHCBBw9ehSnT5/GmjVrsGDBAhw/fhx169ZFYmIiWrRokW+CrVW3bl0xwQaA8+fP4+rVqzoj0kDuyYfXrl0DkDsffNasWTh69Cju3buHnJwcZGRk6JyUCUAckQcgJv5169bVWfb8+XMolUpYW1vD2NgYAwYMQGRkJGbPng2ZTIaNGzciNDRUTLCLyszMDGZmZnmWG2lkMC7F/wFqGUqcgOHEyjhLH0OJ1VDiBAwn1pfjLCzPeFtFrZtJNr2Sp6cnbt68CZVKBY1GA4VCAbVaDbVaDYVCAXd3d1y8eFEsb29vj549e6Jnz55YuHAh6tevj2XLlmHjxo0oU6bMK9uztLTUea7RaNCwYUNs2bIlT1ntnOjQ0FA8ePAAK1euhLu7O8zMzODn55fnxMkX3xjaUfH8lmk0GnHZoEGDsHDhQhw9ehRA7vSZgQMHvjIOIiIiMlxMsumVYmJioFKp0KZNGyxZsgQNGzZEcHAwQkND0aFDh0K/0ZmamqJKlSp49ix3rlS9evWwceNGqFSqIn8TbNCgAb7//nuUL1++wJ9lTpw4gdWrV6NTp04AgFu3bkl22cAqVarA398fGzZsgCAIaNWqFapUqSJJ3URERFQ68RJ+9Eru7u5QKBS4d+8egoKC4ObmhqSkJHTr1g1Vq1aFu7s7AODAgQP4+OOPceDAAVy+fBmXLl3CsmXLEBMTg6CgIADA6NGjoVQqERwcjHPnzuHKlSuIiorCpUuXCmy/X79+cHBwQFBQEE6cOIHr16/j2LFjGDt2LG7fvg0AqFq1KqKiopCcnIwzZ86gX79+RRo1L6rBgwdjz5492Lt3LwYPHixZvURERFQ6McmmIomLi4Ovry/Mzc1x5swZVKhQAS4uLjplateuDQsLC0ycOBHe3t5o0qQJduzYgXXr1omXwLO3t8fRo0fx9OlT+Pv7o2HDhli7dm2ho9oWFhY4fvw43Nzc0K1bN9SqVQuDBg1CZmamOLIdERGBx48fo379+ujfvz/GjBmD8uXLSxZ/9+7dxTnV3bp1k6xeIiIiKp14dREiPVEqlbCxscGpWT/AphRfXSTHSMC12k9RJUlR6k++MZRYGWfpYyixGkqcgOHEWlCctaa3LmSrt6P9/H7V1UU4kk1EREREJDEm2UREREREEmOSTUREREQkMSbZREREREQSY5JNRERERCQxJtlERERERBJjkk1EREREJDEm2UREREREEmOSTUREREQkMSbZREREREQSY5JNRERERCQxE313gMjQVRvTDPb29vruRrFRqVS4FhODGpNaQi6X67s7xcpQYmWcpY+hxGoocQKGE+v7HCdHsomIiIiIJMYkm4iIiIhIYkyyiYiIiIgkxiSbiIiIiEhiTLKJiIiIiCTGJJuIiIiISGJMsomIiIiIJMYkm4iIiIhIYrwZDZGehYeHw9TUVN/dKDZGRkbw8vLCwoULodFo9N2dYmUosTLOvMLCwt5Np4ioxOBINhERERGRxJhkExERERFJjEk2EREREZHEmGQTEREREUmMSTYRERERkcSYZBMRERERSYxJNhERERGRxJhkExERERFJjEk2EREREZHEmGQTEREREUmMSTYRERERkcSYZBMRERERSYxJNhERERGRxAwuyY6Li4NMJsOTJ0/03ZVS67vvvoOrqyuMjIywcuXKIm3j4eFR5LL6EhkZCVtbW313g4iIiEqAEpdkP3jwAHK5HBkZGVCr1bC0tERKSoq4/vfff0fnzp1Rvnx5mJubw8PDA71798bDhw/12GtpaL8gvPyYMWNGsbedk5ODFStWoF69ejA3N4etrS06duyI+Ph4nXJKpRKjR4/G1KlTcefOHWzdujXfPmsfHh4ekvZTqVRi5syZ8PT0RJkyZWBvbw9fX18sWbIEjx8/lrQtIiIiooKY6LsDr+vUqVPw9vaGhYUFzpw5g7Jly8LNzQ0AcP/+fbRt2xZdunTBwYMHYWtri+vXr2P//v3IyMjQc8+lc+nSJVhbW4vPFQrFG9WTk5MDmUwGI6PCv2sJgoDg4GAcPnwYS5cuRZs2baBUKvH111+jVatW2LlzJz788EMAQEpKClQqFT744AM4Ozvj559/RnZ2NgDg1q1baNSoEQ4fPgxPT08AgLGx8Rv1PT///fcfmjdvDqVSiXnz5qFhw4YwNTXF1atXsXXrVmzduhWjRo2SrD0iIiKigpS4keyEhAQ0a9YMAHDy5Enxb+06pVKJdevWoX79+qhUqRJat26NlStXiom41vnz5+Hj4wMLCws0bdoUly5dEtddu3YNQUFBcHR0hEKhgK+vLw4fPiyuL2hEOTQ0tEjbA7nTI+bPn4+QkBAoFAq4u7vjhx9+wIMHDxAUFASFQoG6devi3LlzefZB+fLl4eTkJD4UCkW+02ASExMhk8lw48YNAP833eHAgQOoXbs2zMzMcOLECcjlcqSmpuq0MXHiRLRs2RIAsGPHDuzatQubNm3CkCFDUKlSJXh5eeG7775D165dMWTIEDx79gyRkZGoW7cuAKBy5cqQyWRQKpViP8uVKwcAsLe3z7MMADIyMjBo0CBYWVnBzc0N3333nU6f7ty5g969e8POzg729vYICgoSYwOAzz//HCkpKThz5gwGDhyIevXqoWbNmujcuTO2bt2KkSNHimUfP36MkJAQ2NnZwcLCAh07dsSVK1d02ouMjISbmxssLCzw0Ucf4dGjRzrr//jjDwQEBMDKygrW1tZo2LBhvseLiIiIDE+JGMlOSUlBvXr1AOQmYsbGxoiMjERmZiZkMhlsbW3Rt29fhISEQK1WY+/evejRowdkMlmBdU6fPh3h4eEoV64chg8fjkGDBolTH54+fYpOnTph/vz5MDc3x8aNG9GlSxdcunQJbm5uaNq0Ke7evSvWlZycjE6dOolJ6au211qxYgUWLFiAmTNnYsWKFejfvz+aNWuGQYMGYenSpZg6dSpCQkJw8eLFQmN5HRkZGVi4cCHWrVsHe3t7VKxYEZUrV0ZUVBQmT54MAFCr1di8eTMWLVoEANi6dSuqV6+OLl265Klv4sSJ2LNnDw4dOoTevXvD1dUVbdu2xa+//gpXV1edJPpVwsPDMW/ePHz++efYtWsXRowYgZYtW6JmzZrIyMhAQEAAWrRogePHj8PExATz589Hhw4d8Oeff8LExATff/89Pv74Y1SoUCHf+l/ch6Ghobhy5Qr2798Pa2trTJ06FZ06dUJSUhLkcjnOnDmDQYMGYcGCBejWrRt+/vlnzJ49W6e+fv36oX79+vjmm29gbGyMxMREyOXyAuPLyspCVlaW+FypVAIAjIyMXvlrQkmmja00x6hlKLEyzrxUKlVxd6dYaftf0uN4FUOJEzCcWPURZ1HbkgmCIBRzX96aWq3G7du3oVQq4ePjg7Nnz0KhUMDb2xvR0dFwc3ODQqGAg4MDpk+fjiVLlsDa2hqNGjVC69atERISAkdHRwC5o9ABAQE4fPgw2rRpAwCIiYnBBx98gMzMTJibm+fbB09PT4wYMQKjR4/WWf7o0SM0btwY7du3x9dff11gDC9v7+HhgRYtWiAqKgoAkJqaCmdnZ8ycORNz584FAJw+fRp+fn64e/cunJycxL5bWlrq1H3z5k1cuHABAQEBePz4sXhyXmJiIurXr4/r16/Dw8MDkZGRGDhwIBITE+Hl5SVuv2TJEkRGRiIpKQkA8MMPP+Djjz9GamoqLC0tUatWLdSoUQP79u3LE9fjx49RtmxZLF68GFOmTMnT5otu3LiBSpUq4ffff4e3t7fOupf3hyAIcHJywpw5czB8+HBERERgyZIlSE5OFpPl7Oxs2NraYt++ffDy8oKTkxOWL1+O8ePHi/U2bNhQ/JWiS5cu2LZtG65cuYLq1asjPj4eTZs2FY+jq6srNm7ciJ49e6Jv3754/PgxfvrpJ7Gu4OBg/Pzzz+KvBdbW1li1ahUGDBhQ4HF/UVhYGObMmZNn+datW2FhYVGkOoiIiEi/MjIy0LdvX6SlpelM331ZiRjJNjExgYeHB3bs2AFfX194eXkhPj4ejo6O4uix1hdffIEJEybg6NGjOH36NNasWYMFCxbg+PHj4lQGAOLIOAA4OzsDyJ3T7ebmhmfPnmHOnDk4cOAA/v33X6jVamRmZuqcYAnkfpPp3r073Nzc8OWXX4rLi7r9i33Qfgl4sY/aZffv34eTk5O4/MSJE7CyshKf29nZFXFPAqampjrtArmjujNmzMDp06fRpEkTREREoFevXnmS+cJIMdL+Yr9kMhmcnJxw//59ALnTe65evaoTNwA8f/4c165dE780vNyPvXv3Ijs7G1OnTkVmZiaA3F8eTExM0LhxY7Gcvb09atSogeTkZLHMRx99pFOXn58ffv75Z/H5hAkTMGTIEERFRaFt27bo2bMnqlSpUmB806ZNw4QJE8TnSqUSrq6uuHjxIkxNTV+9g0ooIyMj1K1bFxcuXIBGo9F3d4qVocTKOPOaNm3aO+pV8VCpVDh06BACAwML/UWupDOUOAHDiVUfcWp/iX6VEpFke3p64ubNm1CpVNBoNFAoFFCr1VCr1eJ85osXL4rl7e3t0bNnT/Ts2RMLFy5E/fr1sWzZMmzcuFEs8+KB0CZm2v9EJ0+ejIMHD2LZsmWoWrUqypQpgx49eogn8GmNGDECKSkpOHv2LExM/m9XFnX7/PpQWL+0KlWqlOdSctqfM1/8YSK/nzPKlCmTJxEtX748unTpgg0bNqBy5cqIiYlBXFycuL569eriKPfLtElptWrV8l3/Ol5+c8hkMjF2jUaDhg0bYsuWLXm2K1euHKysrGBra4u///5bZ512eo6VlZU4Al3QjzeCIIj7pig/8ISFhaFv376Ijo7GTz/9hNmzZ2P79u15knMtMzMzmJmZ5Vmu0WhKdaKiZShxAoYTK+P8P6UliZHL5aUmlsIYSpyA4cT6LuMsajslYkJdTEwMEhMT4eTkhM2bNyMxMRF16tTBypUrkZiYiJiYmAK3NTU1RZUqVfDs2bMit3fixAmEhobio48+Qt26deHk5KRzgh0ALF++HN9//z32798Pe3v7195eatq5zy/OFU9MTCzy9kOGDMH27dvx7bffokqVKjonlAYHB+PKlSv48ccf82wXHh4Oe3t7BAYGvnnni6BBgwa4cuUKypcvj6pVq+o8bGxsYGRkhF69emHz5s24c+dOoXXVrl0barUaZ86cEZc9evQIly9fRq1atcQyp0+f1tnu5edA7heQ8ePH45dffkG3bt2wYcMGCaIlIiKikq5EJNnu7u5QKBS4d+8egoKC4ObmhqSkJHTr1g1Vq1aFu7s7AODAgQP4+OOPceDAAVy+fBmXLl3CsmXLEBMTg6CgoCK3V7VqVezZsweJiYn4448/0LdvX51RjMOHD2PKlClYtmwZHBwckJqaitTUVKSlpRVp++JQtWpVuLq6IiwsDJcvX0Z0dDTCw8OLvH379u1hY2OD+fPnY+DAgTrrgoOD8dFHH2HAgAFYv349bty4gT///BPDhg3D/v37sW7duteaWvIm+vXrBwcHBwQFBeHEiRO4fv06jh07hrFjx+L27dsAgAULFqBChQpo3LgxIiIi8Oeff+LatWvYu3cvTp06JV4usFq1aggKCsLQoUNx8uRJ/PHHH+IJk9rXyZgxY/Dzzz9jyZIluHz5Mr766iudqSKZmZkYPXo04uLicPPmTcTHx+Ps2bNikk5ERESGrUQk2UDuCYu+vr4wNzfHmTNnUKFCBbi4uOiUqV27NiwsLDBx4kR4e3ujSZMm2LFjB9atW4f+/fsXua0VK1bAzs4OTZs2RZcuXdC+fXs0aNBAXH/y5Enk5ORg+PDhcHZ2Fh9jx44t0vbFQS6XY9u2bfj777/h5eWFxYsXY/78+UXe3sjICKGhocjJyUFISIjOOplMhh07dmD69OlYsWIFatasiRYtWuDmzZuIjY0Vr5FdnCwsLHD8+HG4ubmhW7duqFWrFgYNGoTMzEzxpAN7e3v8+uuvCAkJwdKlS9GoUSPUrVsXYWFh6N27N9auXSvWt2HDBjRs2BCdO3eGn58fBEFATEyM+BNQkyZNsG7dOqxatQre3t745ZdfdG76Y2xsjEePHiEkJATVq1dHr1690LFjx3xPbCQiIiLDUyKuLkLvxtChQ3Hv3j3s379f310xCEqlEjY2Npg2bVqpP/HRy8sLf/zxR6mfv2sosTLOvMLCwt5Np4qJSqVCTEwMOnXqVKrn7xpKnIDhxKqPOLWf36Xi6iJUvNLS0nD27Fls2bIFP/zwg767Q0RERFTiMckmBAUF4ddff8WwYcOK/QRGIiIiIkPAJJt0LtdHRERERG+vxJz4SERERERUUjDJJiIiIiKSGJNsIiIiIiKJMckmIiIiIpIYk2wiIiIiIokxySYiIiIikhiTbCIiIiIiiTHJJiIiIiKSGG9GQ6RnEydOhL29vb67UWxUKhViYmIwbdo0yOVyfXenWBlKrIyTiOjVOJJNRERERCQxJtlERERERBJjkk1EREREJDHOySbSE0EQAADp6emler6nSqVCRkYGlEplqY4TMJxYGWfpYyixGkqcgOHEqo84lUolgP/7HC8Ik2wiPXn06BEAoFKlSnruCREREb2u9PR02NjYFLieSTaRnpQtWxYAkJKSUuibtKRTKpVwdXXFrVu3YG1tre/uFCtDiZVxlj6GEquhxAkYTqz6iFMQBKSnp8PFxaXQckyyifTEyCj3lAgbG5tS/R+glrW1tUHECRhOrIyz9DGUWA0lTsBwYn3XcRZlcIwnPhIRERERSYxJNhERERGRxJhkE+mJmZkZZs+eDTMzM313pVgZSpyA4cTKOEsfQ4nVUOIEDCfW9zlOmfCq648QEREREdFr4Ug2EREREZHEmGQTEREREUmMSTYRERERkcSYZBMRERERSYxJNlERrF69GpUqVYK5uTkaNmyIEydOFFr+2LFjaNiwIczNzVG5cmWsWbMmT5ndu3ejdu3aMDMzQ+3atbF3797XblcQBISFhcHFxQVlypRBq1atcPHixRIX68KFC+Hr6wsrKyuUL18eH374IS5duqRTJjQ0FDKZTOfRpEmTEhVnWFhYnhicnJx0ykh9TPURp4eHR544ZTIZRo0aJZaR+ngWR6wXL15E9+7dxXhWrlz5Ru2+78e0KHHq4z2qr1hLw/u0KHGWlvfp2rVr0aJFC9jZ2cHOzg5t27bFr7/++trtFsfnKQQiKtT27dsFuVwurF27VkhKShLGjh0rWFpaCjdv3sy3/D///CNYWFgIY8eOFZKSkoS1a9cKcrlc2LVrl1gmISFBMDY2FhYsWCAkJycLCxYsEExMTITTp0+/VruLFi0SrKyshN27dwsXLlwQevfuLTg7OwtKpbJExdq+fXthw4YNwl9//SUkJiYKH3zwgeDm5iY8ffpULDNgwAChQ4cOwt27d8XHo0ePSlScs2fPFjw9PXViuH//vk5bUh5TfcV5//59nRgPHTokABBiY2PFMlIez+KK9ddffxUmTZokbNu2TXBychJWrFjxRu2+78e0KHG+6/eoPmMtDe/TosRZWt6nffv2Fb7++mvh999/F5KTk4WBAwcKNjY2wu3bt1+rXak/TwVBEJhkE71Co0aNhOHDh+ssq1mzpvDZZ5/lW37KlClCzZo1dZYNGzZMaNKkifi8V69eQocOHXTKtG/fXggODi5yuxqNRnBychIWLVokrn/+/LlgY2MjrFmz5jUi/D/6ivVl9+/fFwAIx44dE5cNGDBACAoKKmoohdJXnLNnzxa8vLwK7JfUx/R9OZ5jx44VqlSpImg0GnGZlMdTEIon1he5u7vnm6i86/epvuJ8WXG/RwVBf7GWhvfpi4p6TEvD+1QQBEGtVgtWVlbCxo0bi9xucXyeCoIgcLoIUSGys7Nx/vx5tGvXTmd5u3btkJCQkO82p06dylO+ffv2OHfuHFQqVaFltHUWpd3r168jNTVVp4yZmRn8/f0L7Nv7GGt+0tLSAABly5bVWR4XF4fy5cujevXqGDp0KO7fv1+04F6g7zivXLkCFxcXVKpUCcHBwfjnn3/EdVIeU33H+WI/Nm/ejEGDBkEmk+msk+J4atsojlilaLckHNM3UZzvUUD/sZb09+nrKk3v04yMDKhUKvG1qY/PUy0m2USFePjwIXJycuDo6Kiz3NHREampqfluk5qamm95tVqNhw8fFlpGW2dR2tX++zp9K4y+Yn2ZIAiYMGECmjdvjjp16ojLO3bsiC1btuDo0aMIDw/H2bNn0bp1a2RlZZWYOBs3boxNmzbh4MGDWLt2LVJTU9G0aVM8evRIrEO7XVH79j7G+aJ9+/bhyZMnCA0N1Vku1fEEii9WKdotCcf0dRX3exTQb6yl4X36ukrT+/Szzz5DhQoV0LZt2yK3K/XnqZbJG29JZEBe/mYvCEKeZa8q//LyotQpVZnXoa9YtUaPHo0///wTJ0+e1Fneu3dv8e86derAx8cH7u7uiI6ORrdu3QqJqOj9Lu44O3bsKP5dt25d+Pn5oUqVKti4cSMmTJjwxn0rjL6P5/r169GxY0e4uLjoLJf6eL5uvwoqn99yKdp934/p63hX79H8+vguYi0t79PXUVrep0uWLMG2bdsQFxcHc3Pz125X6s9TjmQTFcLBwQHGxsZ5vsnev38/zzdeLScnp3zLm5iYwN7evtAy2jqL0q72bPfX6Vth9BXriz799FPs378fsbGxqFixYqH9dXZ2hru7O65cufLK2F70PsSpZWlpibp164oxSHlM34c4b968icOHD2PIkCGv7O+bHk+g+GKVot2ScExfx7t4jwLvR6xaJfF9+jpKy/t02bJlWLBgAX755RfUq1fvtdqV+vNUi0k2USFMTU3RsGFDHDp0SGf5oUOH0LRp03y38fPzy1P+l19+gY+PD+RyeaFltHUWpd1KlSrByclJp0x2djaOHTtWYN/ex1iB3NGC0aNHY8+ePTh69CgqVar0yv4+evQIt27dgrOzc5Hi09JnnC/LyspCcnKyGIOUx/R9iHPDhg0oX748Pvjgg1f2902PJ1B8sUrRbkk4pkXxLt+jgH5jfVlJfJ++jtLwPl26dCnmzZuHn3/+GT4+Pq/drtSfp6I3PmWSyEBoL/2zfv16ISkpSRg3bpxgaWkp3LhxQxAEQfjss8+E/v37i+W1lxwaP368kJSUJKxfvz7PJYfi4+MFY2NjYdGiRUJycrKwaNGiAi/hV1C7gpB7ySEbGxthz549woULF4Q+ffpIcgm/dx3riBEjBBsbGyEuLk7nUlEZGRmCIAhCenq6MHHiRCEhIUG4fv26EBsbK/j5+QkVKlR4q0tmves4J06cKMTFxQn//POPcPr0aaFz586ClZVVsR1TfcUpCIKQk5MjuLm5CVOnTs3TL6mPZ3HFmpWVJfz+++/C77//Ljg7OwuTJk0Sfv/9d+HKlStFblcQ3v9jWpQ43/V7VJ+xlob3aVHiFITS8T5dvHixYGpqKuzatUvntZmenl7kdgVB+s9TQeAl/IiK5Ouvvxbc3d0FU1NToUGDBnkuW+Xv769TPi4uTqhfv75gamoqeHh4CN98802eOnfu3CnUqFFDkMvlQs2aNYXdu3e/VruCkHvZodmzZwtOTk6CmZmZ0LJlS+HChQslLlYA+T42bNggCIIgZGRkCO3atRPKlSsnyOVywc3NTRgwYICQkpJSouLUXndVLpcLLi4uQrdu3YSLFy/qlJH6mOrrtXvw4EEBgHDp0qU864rjeBZHrNevX8/3dflyPe/6faqPOPXxHtVXrKXhfVrU125peJ+6u7vnG+vs2bOL3K4gFM/nqUwQ/v8MciIiIiIikgTnZBMRERERSYxJNhERERGRxJhkExERERFJjEk2EREREZHEmGQTEREREUmMSTYRERERkcSYZBMRERERSYxJNhERERGRxJhkExERUbHKyMjAzJkzUatWLZQpUwYymQwymQyJiYlimf/++w9jxoxBlSpVYGZmJpZ58uQJAIjP4+LiJOlTXFycWCdRcTDRdweIiPQtLCwMc+bMKXJ53iiXiiIyMhI3btxAq1at0KpVK0nqVCqV2LhxI3755Rf8+eefePjwITQaDezt7VGvXj20bdsWffv2hZOTkyTtSaV37944cOAAAKBMmTJwdHQEAMjlcgBATk4O2rRpIybdCoUCdnZ2AAAjI8MbDwwLCwMAhIaGwsPDQ699oTfHJJuI6AXaD3+itxUZGYljx44BgCRJ9vr16zF58mQ8fvxYXFamTBmYmZnhzp07uHPnDn766SdMnz4dM2bMwPTp09+6TSn8/fffYoK9fft29O7dO0+ZQ4cOITExEXK5HEePHkXz5s3zlKlRowYAwMLCQpJ+WVhYiHW+b7Rf+lu1asUkuwRjkk1E9ILU1FR9d4Eoj+nTp2PBggUAgFq1auGzzz5Dhw4dUL58eQBAZmYmTpw4gaioKGzbtg07d+58b5LsCxcuAADs7e3zTbBfLFOvXr18E2wgN1mXUqNGjSSvk+hFhvcbDBERUQny/fffiwl2z5498fvvvyMkJERMsIHcEe127dohKioKiYmJ8PT01Fd388jIyACQOwXkbcoQlTgCEZGBmz17tgBAeNP/Et3d3QUAwoYNG4SsrCxhyZIlQr169QQLCwvB2tpaCAgIEH766adC63j69Kkwa9YsoWbNmoK5ublQrlw5oWPHjsLhw4fztPGyv//+W1iyZInQpk0boXLlyoK5ublgZWUleHt7C9OnTxcePHhQaNvZ2dnC8uXLBS8vL8HCwkKws7MT/P39hZ07dwqCIAj+/v4CAGH27NkF1vHbb78JAwcOFCpXriyUKVNGsLS0FOrVq1do+9r97u/vLwiCIPzwww9C69athbJlywpWVlaCn5+fsHfvXp1tNm3aJDRt2lSwtbUVLC0thRYtWoj7qDCxsbFCcHCw4OrqKpiZmQnW1taCr6+vsHjxYuHp06f5bjNgwAABgDBgwABBEARh586dgr+/v2BnZyeUKVNG8PLyElauXCnk5OTobLdhwwbx9VTQ4/r166/ssyAIQlZWluDq6ioAEGrXri1kZmYWabuX+6T122+/Cf379xfc3NwEMzMzwdbWVvDz8xNWrFghPH/+vNA61Wq1sGHDBqFdu3ZC+fLlBblcLjg4OAjt2rUTtm3bJmg0Gp3yL76v8nsMGDBA3McFPV58zWmXxcbGFtjHgwcPCr179xbc3NwEc3Nzwc7OTqhbt64wevRoISEhQadsbGzsK9/3rxuz1pv+n/Cq/eHu7l5gX+n9wySbiAyeVEn2qlWrhMaNGwsABLlcLigUCrFemUwmrF+/Pt/t7927J9SuXVssK5fLBVtbW3G7b775ptAkW7tOW97W1laQyWTisgoVKgh///13vm0/ffpUaNmypVjW2NhYsLOzE7f/7LPPXplkz5o1S6c9CwsLwdTUVHzu7Ows/Pbbb3m2ezHJnjVrlgBAMDIyEmxsbHQSi2+++UbQaDRiAmJiYiJYWVnp9PnAgQP59k2lUglDhgzRqU+hUAjGxsbi8xo1agg3btzIs+2LSfaoUaPE/mmPjfYREhKis9327dsFR0dHQS6XCwAES0tLwdHRUeeRkpKSb39ftmPHDrGdqKioIm1TkBUrVugcJxsbG7GPAIR69eoJ//77b77bpqamiq/tF7d/8XnXrl2FrKwscZulS5cKjo6OgrW1tbjvXtwHY8aMEcaMGSM4OjoKlpaW4mv/xTJLly4V6yssyX727JnQs2dPnf5YWVkJZmZm4nMvLy+dbV6VZL9JzFpv+n+Cdn9oy9jZ2ensDx8fn4IOL72HmGQTkcGTKsm2s7MTKlSoIOzbt0/Izs4WBCF3lLlJkyZicvfkyZM823fo0EEAIJQpU0ZYv369OKKYkpIi9O7dWzA1NRUsLCwKTLJ79+4trFq1Srh69ar4gZ+VlSUcPnxYaNSokQBAaNCgQb59HzZsmJgALV68WEhPTxcEQRAePHggjBkzRgAgJpX5JdkrVqwQE5qFCxcKd+/eFQQhdwTw3LlzQuvWrQUAQsWKFcW6tbT73cbGRjA2Nhbmz58v7p/bt28L7du3F+ueNWuWYG5uLqxZs0Z49uyZIAiCcPnyZcHHx0cAILi5ueU7ejt27FgBgODo6CisXr1aePTokSAIuaP3sbGxQv369cX98/L22iTbzs5OMDU1FZYvXy6kpaUJgiAIDx8+1Enejxw5kqftovwC8CovHh9t22/ixx9/FPsaFBQk/PPPP4Ig5L5ONm3aJH5padq0qaBWq3W2zcrKEnx9fcX9FB0dLR6Dp0+fChs3bhTKly8vABDGjRuXp23tyH5ho7Av/6qRn8KS7F69eon7aerUqcKtW7cEQRAEjUYj3L59W9iyZYswfPhwnW0KS7LfNua3/T+hKKP29P5jkk1EBu/FJPvlEceXH2PGjMmzvfYD1czMTEhOTs6z/v79+4K5ubkAQNi8ebPOuhMnThQ6UpmTkyMEBASIZfJLsguTnp4ujoydOHFCZ93NmzcFIyMjAYAwb968fLd/8efrl5PFBw8eCBYWFoJMJitwyoZKpRIaNmwoABBWrFihs+7F/T5//vw826alpYkjnPntO0EQhKtXr4rrX47vwoULgkwmEywsLIQ///wz3/4plUqhYsWKAoA8U1NejL2g/a6NbciQIXnWSZFkN2/eXAAgVKtW7Y3rEARB/KWkefPmeZJoQRCE/fv3i7FqpwlpffXVVwIAwdPTU1AqlfnWf+7cOUEmkwmmpqbCvXv3dNYVd5J9+PBhcd3q1asL3P5lhSXZbxvz2/yfUFisVLLwxEciohfcu3ev0EdaWlqB2/bo0QM1a9bMs7xcuXLw8/MDAPz5558663bu3AkA8PDwQL9+/fJsa2RkhBkzZrxxPAqFAv7+/gCAkydP6qzbvXs3NBoNLCwsMH78+Hy3nzlzZoF1b9myBRkZGfDx8UGbNm3yLWNiYoI+ffoAAA4ePJhvGXNzc4wbNy7Pcmtra3G/ubm5oW/fvnnKVKlSBVWrVgWQd9+uX78egiDggw8+QN26dfNt28rKCh9++GGh/XN1dUVISEi+67p27Zpv21J59OgRAKBs2bJvXMeff/6JpKQkALnH09jYOE+ZLl26oFGjRgCAbdu26axbt24dAGDkyJGwsrLKt42GDRvC09MT2dnZiI2NfeO+vomIiAgAgKenJ0aMGCFJnVLF/Cb/J1DpwUv4ERG9QHiLG800bty4wHUuLi4Acu9q96LffvsNANCyZcsC7zzXrFkzmJiYQK1WF1j/gQMHEBUVhbNnz+LevXvi1RpedPv27Xzb9vHxgaWlZb71VqlSBa6urrh161aeddqk/a+//ir05ieZmZkAgJs3b+a7vnbt2gW2r71uuY+PT4H7x9HREVevXtW5fvSL/fvpp58K7d/Tp08L7Z+vr2+BN0Qp6LhKRft6fJu7Ep47dw5A7hce7Reu/AQGBuLXX38VywNAenq6mATOnDkTc+fOLXB77T4oaD8Wl4SEBAC5XxSkIGXMb/J/ApUeTLKJiCRS0IgXkJvgAIBKpdJZ/uDBAwD/94GbHzMzMzg4OOR7DW+NRoOPP/5YZ/TRxMQEdnZ2MDU1BQCkpaXh+fPnePbs2Wu3DQAVKlTIN8n+999/AeQm0dpEujD5Jf5A0fbbm+xbbf+ePn0qJtLF1b+X25aKg4MDgP8b0X4T9+/fF+syMzMrsFzFihV1ygO5143XaDQAip4MFrQfi4v2feHu7i5ZfVLFrM/XDukfp4sQEelRUUcqCxphX79+PbZt2wZjY2PMmjULV65cQVZWFv777z+kpqYiNTUVPXr0yLeOt207JycHADB8+HAIuef4FPq4ceNGoe1ITdu/RYsWFal/cXFx77R/RaG93vW1a9egVCrfqq6ijoa/WE67DwHg9OnTRdqP2luCvyva/r7NaP+LSkLMVDIwySYi0iPtDUW0o675ycrKKnAkc/v27QCAIUOGYM6cOahatWqeqQ0F3cWyKG0Xtl47BUN7t773zfvev6LQznXXaDTYv3//G9WhPc4PHjxAVlZWgeW004nKlSsnLtNO1wHe3/2oPc5SfYkrCTFTycAkm4hIjxo0aAAAOHbsWIFl4uPjC5yPrZ3GUb9+/XzXP336FGfOnCm07XPnzuWZSqL1zz//5DtVBMidKw7kjva963m4RaHtX3R0dJGmi0hN+2Xnbeb5BwUFidM4Fi5ciOfPnxdpO+10ByB3PjsAqNXqQl9nhw8fBpA7B13Lzs4OtWvXBvB/X+jeN02bNgUA/Pjjj5LU9z7ErB2Vf5vXDukfk2wiIj3STuW4ceMGtm7dmme9IAjiLbXzY2NjAwD4448/8l0/b948pKen57uuW7duMDIywrNnz/Dll1/mW+aLL74osO3+/fujTJkyyMnJwahRo3R+Zn+ZRqPBkydPClxfHIYOHQqZTIYnT55g8uTJhZZVqVSSJ+LW1tYA8FZxm5qaYsmSJQCApKQkDBgwANnZ2YVuk5SUpHM1lHr16olJ4/z58/M9TjExMeKXMe3VYLQ++eQTAMCRI0demXTq4yS+wYMHAwAuXryIb775RpI69R2zFK8d0j8m2UREetSiRQsEBgYCyE0KIyMjxZ/0b9++jX79+uHEiROwsLDId/sOHToAANauXYvvvvtOTMBSU1Mxfvx4LFmyBPb29vlu6+7uLiYos2bNwrJly8RE89GjR5gwYQIiIiJga2ub7/ZOTk5YtGgRgNzR4sDAQMTHx4tJnCAI+Pvvv7F8+XLUqVMHBw4ceN3d81a8vb3FSwOuWbMGPXv2RGJiojg6mJOTgz/++APz5s1DlSpVkJiYKGn7derUAZCbwN65c+eN6+nTpw+mTJkCANixYwfq16+PqKgo8cRVAHj+/DmOHDmCQYMGwcvLC3/99ZdOHYsXLwYAnDhxAj169MD169cB5H652LJli5hYN23aVLykodbw4cPFq2T0798fM2bM0Pl1IyMjA3FxcRg9ejSqVKnyxnG+qYCAAAQHBwMARo8ejWnTpolTXwRBwL///ot169aJr/Wi0HfM2teO9jKZVEJJfeFtIqKS5nVuRuPo6CjEx8frbF/YLc+1XrxF98vu3r0r1KxZU+zDi7dVNzIyEr777jvBzc1NACBs27ZNZ9vHjx/rbKu97bf29tnDhg0rtO309HTxhidA3tuqz5gxQ7zt+sKFC/ONbcmSJTq3KTc1NRXs7e11btmNfG66UZQbkBTWd63CbvqiVquFcePG6fTD3NxcsLe3F0xMTHSWnzx58rXbLuxGK5cvXxZvOKK9pbi7u7vg7u4u3pHwdXz77bd5buluYWGR77IlS5bk2X758uU6t1W3tbUVTE1Nxed169YV7ty5k2/bDx48EO/eqX1Y/7/27hiWlTiOA/j3uUaquaCUiObCorabSEgJqw4SajA0Egk3Nu1ADAaJwSApEgNdDB1YSCQGiSLp0AGRDoYTi7MIIqkUpZrcG6SNPq9Eeg/vve9n63K/XtNcfvnfL79vaWnOfw14jrz/yG+UUWji493dnd7b2/vq+xUSq17IPRf6TAiFQjnPA7vdrtfV1elOpzPv9ej74Uk2EdEL74XRXFxcvPu6/qNqamqwv7+P8fFxOBwOFBUVwWQyweVyYWdnB8PDw9kQnF9PlcvLyxGNRuHz+VBfXw9BEGAymdDZ2Ynl5WUsLCy8WVsURWxvb2N6ehqyLKO4uBi6rqOjowNra2uYnJzMvrLOd6I9MjICVVXh9/shyzLMZjPi8ThEUURzczNGR0cRjUZ/GybzpwmCgJmZGRweHkJRFDQ2NkIQBNzc3MBqtcLpdGJiYgKxWCw7w22UhoYG7O7uoru7G1VVVbi+voamadA07c2d5/koioLT01PMzs7C5XJBkiTouo5kMgm73Y6uri7Mzc1B07Tfjsf4/X4cHBzA4/FAkiTc39+jpKQELS0tCAQC2Nvby7vO0WazIRwOY319HX19fZAkCY+Pjzm15+fnP32DTIbFYsHq6io2NjbQ09OD2tpaPDw8QBRFyLIMr9eLYDD4oWt+5T17PB6EQiG0tbXBYrHg/Pwcmqa92nVP39sPXedUPRHRd3ZycgKHwwEAODs7gyRJn1b79vYWlZWVSKVSiEQiaG9v/7TaRER/M55kExF9c1NTUwCekxE/s8EGgEAggFQqhYqKipytE0RE9DY22UREX0xVVQwNDSESieRsAlFVFYODg1haWgIAjI2NGV47kUigv78fm5ubOZsMMiMHmZANn88Hs9lseH0ion8Vx0WIiL5YLBbL2XNdVlaGp6ennK0CXq8375q9QsTjcVit1uznTAz0y2bf7XZjZWUlGwNNRETvY5NNRPTFEokEgsEgwuEwjo+PcXl5iXQ6jerqarS2tkJRlGzyn9HS6TQWFxextbWFo6MjXF1dIZlMwmazoampCQMDA3C73YZFVhMR/S/YZBMRERERGYwz2UREREREBmOTTURERERkMDbZREREREQGY5NNRERERGQwNtlERERERAZjk01EREREZDA22UREREREBmOTTURERERksJ/S0vyzhGHJDwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.barplot(data = df_alpha, y = 'keyword', x = 'alpha')\n",
    "plt.xlabel('Engagement Coefficient', fontsize =18)\n",
    "plt.ylabel('Keyword', fontsize =18)\n",
    "plt.grid()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ca2c1daf",
   "metadata": {},
   "source": [
    "## Plot Interaction Strengths (Beta)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "688266be",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.barplot(data = df_beta, x = 'interaction', y = 'beta')\n",
    "plt.ylabel('Interaction Strength', fontsize =18)\n",
    "plt.xlabel('Interaction', fontsize =18)\n",
    "plt.grid()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "73a3f10e",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.13"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}