{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "af4c18ef",
   "metadata": {},
   "source": [
    "# Debiased metrics calculation user guide\n",
    "\n",
    "**Table of Contents**\n",
    "\n",
    "* Load and preprocess data: Kion\n",
    "    * Train / test split\n",
    "* What is debiasing of test interactions?\n",
    "    * Original test items frequency distribution\n",
    "    * Debiased test items frequency distribution\n",
    "* Application of debiased metrics on Kion dataset\n",
    "    * Prepare metrics\n",
    "    * Prepare and fit models\n",
    "    * Calculate and visualize metrics\n",
    "* Metrics trade-off analysis: why do we need debiased metrics?\n",
    "    * MAP vs Serendipity trade-off\n",
    "    * Debiased MAP\n",
    "\n",
    "`visuals` extension for `rectools` is required to run this notebook. You can install it with `pip install rectools[visuals]`\n",
    "\n",
    "`kaleido` package is required to render widgets outputs in png format. You can install it with `pip install kaleido`\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "622e16bc",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<threadpoolctl.threadpool_limits at 0x10473fb50>"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import os\n",
    "import threadpoolctl\n",
    "from pathlib import Path\n",
    "import warnings\n",
    "from copy import deepcopy\n",
    "\n",
    "warnings.filterwarnings(\"ignore\")\n",
    "\n",
    "import pandas as pd\n",
    "import numpy as np\n",
    "import seaborn as sns\n",
    "from matplotlib import pyplot as plt\n",
    "\n",
    "from rectools.metrics import MAP, calc_metrics, Serendipity\n",
    "from rectools.models import ImplicitALSWrapperModel, PopularModel, ImplicitItemKNNWrapperModel\n",
    "from rectools import Columns\n",
    "from rectools.dataset import Dataset\n",
    "from rectools.metrics import debias_interactions, DebiasConfig, HitRate, AvgRecPopularity, Intersection\n",
    "from implicit.als import AlternatingLeastSquares\n",
    "from implicit.nearest_neighbours import BM25Recommender\n",
    "\n",
    "try:\n",
    "    from rectools.visuals import MetricsApp\n",
    "except ImportError:\n",
    "    print(\"\\033[91m `visuals` extension for `rectools` is required. You can install it with `pip install rectools[visuals]`\")\n",
    "\n",
    "sns.set_theme(style=\"whitegrid\")\n",
    "sns.set(rc={'figure.figsize':(15, 5)})\n",
    "sns.set_context(\"paper\", rc={\"font.size\":18,\"axes.titlesize\":18,\"axes.labelsize\":14,\n",
    "                            \"xtick.labelsize\": 14, \"ytick.labelsize\": 14})\n",
    "\n",
    "# For implicit ALS\n",
    "os.environ[\"OPENBLAS_NUM_THREADS\"] = \"1\"\n",
    "threadpoolctl.threadpool_limits(1, \"blas\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7a6a640d",
   "metadata": {},
   "source": [
    "## Load and preprocess data: Kion"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "id": "d566390f",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Archive:  data_original.zip\n",
      "  inflating: data_original/interactions.csv  \n",
      "  inflating: __MACOSX/data_original/._interactions.csv  \n",
      "  inflating: data_original/users.csv  \n",
      "  inflating: __MACOSX/data_original/._users.csv  \n",
      "  inflating: data_original/items.csv  \n",
      "  inflating: __MACOSX/data_original/._items.csv  \n",
      "CPU times: user 1.82 s, sys: 411 ms, total: 2.23 s\n",
      "Wall time: 1min 40s\n"
     ]
    }
   ],
   "source": [
    "%%time\n",
    "!wget -q https://github.com/irsafilo/KION_DATASET/raw/f69775be31fa5779907cf0a92ddedb70037fb5ae/data_original.zip -O data_original.zip\n",
    "!unzip -o data_original.zip\n",
    "!rm data_original.zip"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 229,
   "id": "abbe7f1c",
   "metadata": {},
   "outputs": [],
   "source": [
    "DATA_PATH = Path(\"data_original\")\n",
    "\n",
    "users = pd.read_csv(DATA_PATH / 'users.csv')\n",
    "items = pd.read_csv(DATA_PATH / 'items.csv')\n",
    "interactions = (\n",
    "    pd.read_csv(DATA_PATH / 'interactions.csv', parse_dates=[\"last_watch_dt\"])\n",
    "    .rename(columns={\"last_watch_dt\": Columns.Datetime})\n",
    ")\n",
    "interactions[Columns.Weight] = 1"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "705c30e6",
   "metadata": {},
   "source": [
    "### Train / test split"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 230,
   "id": "fa963d6f",
   "metadata": {},
   "outputs": [],
   "source": [
    "max_date = interactions[Columns.Datetime].max()\n",
    "train = interactions[interactions[Columns.Datetime] < max_date - pd.Timedelta(days=7)].copy()\n",
    "test = interactions[interactions[Columns.Datetime] >= max_date - pd.Timedelta(days=7)].copy()\n",
    "cold_users = set(test[Columns.User]) - set(train[Columns.User])\n",
    "test.drop(test[test[Columns.User].isin(cold_users)].index, inplace=True)\n",
    "test_users = test[Columns.User].unique()\n",
    "catalog=train[Columns.Item].unique()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "55a56301",
   "metadata": {},
   "source": [
    "# What is debiasing of test interactions?"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9e49b1df",
   "metadata": {},
   "source": [
    "### Original test items frequency distribution\n",
    "Let's look at the test items frequency distribution lineplot and boxplot"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 231,
   "id": "e177ce30",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1500x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def plot_linelot(test, threshold=150):\n",
    "    item_test_counts = test[Columns.Item].value_counts().reset_index()\n",
    "    top_item_test_counts = item_test_counts.head(threshold)\n",
    "    top_item_test_counts[\"rank\"] = np.arange(threshold)\n",
    "    bplot = sns.lineplot(data=top_item_test_counts, x='rank', y='count', linewidth=3)\n",
    "    bplot.set_title(f'Top {threshold} test items frequency distribution')\n",
    "    bplot.set_ylabel('Item frequency in test')\n",
    "    \n",
    "plot_linelot(test, 1000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 232,
   "id": "2c0df86c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 400x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def plot_boxplot(test, color: str=\"blue\"):\n",
    "    plt.figure(figsize=(4,4))\n",
    "    item_test_counts = test[Columns.Item].value_counts().reset_index()\n",
    "    boxplot = sns.boxplot(data=item_test_counts, y='count', color=color)\n",
    "    boxplot.set_title(f'All test items frequency distribution boxplot')\n",
    "    boxplot.set_ylabel('Item frequency in test')\n",
    "    \n",
    "    \n",
    "plot_boxplot(test)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f9ad9a70",
   "metadata": {},
   "source": [
    "We have extreme outliers in test frequency. This is qutie common in many real life services data.\n",
    "\n",
    "All classification and ranking metrics will be sensitive to such test distributions. Models that often recommend overly-frequent test items (like Popular model or other models with popularity bias in recommendations) will \"win\" on TruePositive based metrics. \n",
    "\n",
    "**It is common in real-life services that researcher doesn't want those extremely frequent outlier test items to overwhelm TruePositive-based metrics for models with populariry bias.**\n",
    "\n",
    "**This is the main motivation for debiasing test interactions.**\n",
    "\n",
    "\n",
    "\n",
    "### Debiased test items frequency distribution\n",
    "\n",
    "Let's downsample test user interactions with overly-frequent items so that we will not have any outliers in test data.\n",
    "Let's follow the boxplot logic and use Itra-Quartile Range for this.\n",
    "For debiasing we can specify IQR coefficent to calulate the maximum allowed test item frequency. No item should have test interactions count above this border. Just like in classic boxplot logic.\n",
    "\n",
    "**We are not changing train data at all. We just want to create a validation protocol that will not be affected by outliers in test interactions.**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 233,
   "id": "454a4ddf",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Downsample outliers item interactions from test using rectools\n",
    "debiased_test = debias_interactions(test, config=DebiasConfig(iqr_coef=1.5, random_state=32))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "18f62349",
   "metadata": {},
   "source": [
    "Let's see what' changed in test interactions after debiasing"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 234,
   "id": "ac67521f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1500x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def plot_linelot_compared(test, debiased_test, threshold=150):\n",
    "    fig, ax = plt.subplots(ncols=1)\n",
    "    item_test_counts = test[Columns.Item].value_counts().reset_index()\n",
    "    top_item_test_counts = item_test_counts.head(threshold)\n",
    "    top_item_test_counts[\"rank\"] = np.arange(threshold)\n",
    "    bplot = sns.lineplot(data=top_item_test_counts, x='rank', y='count', ax=ax, linewidth=3, label=\"original\")\n",
    "    bplot.set_title(f'Top {threshold} test items frequency distribution')\n",
    "    bplot.set_ylabel('Item frequency in test')\n",
    "    item_test_counts_deb = debiased_test[Columns.Item].value_counts().reset_index()\n",
    "    top_item_test_counts_deb = item_test_counts_deb.head(threshold)\n",
    "    top_item_test_counts_deb[\"rank\"] = np.arange(threshold)\n",
    "    sns.lineplot(data=top_item_test_counts_deb, x='rank', y='count', ax=ax, linewidth=3, label=\"debiased\")\n",
    "    plt.legend(fontsize='large')\n",
    "\n",
    "plot_linelot_compared(test ,debiased_test, 1000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 235,
   "id": "feffd20d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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DAxEfHw9HR0esWbNG3A4AsLa2xqpVq2BjY4O4uDiVl9gBYMGCBejSpYv4d7169TBlyhQAQFRUFDIyMsRxmzdvRlZWFl5//XUsXrxY6Vt8165dMWnSJAD/u2Lm6uoKGxsb5OXliT2qi1M0Bw0aNKhc26u4JPn+++8r7VOGhoaYP38+XF1dy7UcALhx4wYAoGnTpujYsaPSuIEDB2L48OHo169fuZtnips+fbr42lhYWEAmk5Vrvnnz5ildmahfvz78/f1hbm6O+Ph48S4Jdbp69SpOnDgBoOgssvhrZWBggI8//hhDhw4FAPzwww8qlzFixAiMHj1aPPYZGhpi3rx5kMlkyM/Px7Vr1ypc14QJEzBy5EjxtTU3N8eyZcvQqFEjPH36VCkjNmzYgMzMTMjlcqxatQpWVlbiODs7O2zYsAHW1tZISkrCjh07lLbvhx9+gKGhISIjI7Fjxw78+eef2LZtG2QyGb799ttSO/O1adMGS5cuhampKYCi48aUKVPQr18/CIKAtWvXvnAbV69ejfz8fHTp0gULFy4UlwUArVq1wqZNm1CrVi1cv34dBw8erNgLWIpKB7fiQ9+9e3elQgFgwIABAIoO8uq+jzI3NxenT59WquN59vb2cHBwgCAI4s5uYWEhXtafNWsWrly5otR25uXlhbVr18LLy6uat6Ckym7T8+MVl2kUbGxsxH9369atxDyKnb14276trS309PTw7NkzzJ07F1FRUUrzfPTRR1i9erXKS64vo3379iWGnT59Grm5uWjRogUcHR1Vzqe4tHvt2jXxXsnjx48DAN544w00a9asxDxvvfVWpZs8VDl69CgAwN3dXWXzQfEvv6reO11dXZUP/ih+Wb34e6RYxpAhQ8TQLG7UqFEICwsTD34ymUwM5ZCQEKVpIyMjERsbizp16qBHjx5lbyiKHnoSEREBoCi4VRk2bNgLl6OguM0yKioKS5cuRVxcnNL4BQsWYNmyZRW+/K6jo4O2bdtWaB6g6EvjwIEDSwy3tLREr169AKDUfiHVSfGeOzs7o127diqnGTduHAAgPj4e0dHRJcZ37969xDALCwuxp7+qfhgvMnLkyBLDDAwMxM9l8dfq5MmTAIDhw4er7Khau3ZtDB48GMD/PlMKLVu2xMyZMwEUBamfnx8EQcDo0aNVHtsUin9RKU6xj54/f17pS/HzMjMzxXZpxYnO8+zs7MR949ixY6UuqyIq1cZ98+ZN8duXqiDp3bs3jI2NkZmZib1796JTp04vV2UFxMXFid++v/rqq1J7KiclJQEoausCig6Os2bNwueff45Tp07h1KlTqF27Njp27IjOnTvjnXfeKRF86lLZbSpOVdtx8eVYWFiUGK/q1qy6deti/PjxCAgIwP79+7F//35YW1vD1dUVXbp0QdeuXavllh7FlYLiFA+puX//fqmdf4RinWpu376NunXr4s6dOwBQZji7uLioPLhVhmI5gYGBpX5wU1JSxBqfV7t2baUrLAqGhobivxVPqMrJyRE7STk4OKhcl6mpKVq2bKk07P3338fatWtx9epVxMfHi4G5f/9+AED//v3L1es/KSlJ3FefX4dCq1atXrgcBUdHR/Tv3x+hoaHYsmULtmzZAhsbG3Tq1AldunTB22+/XeLEoTzMzc1VvqYv0rJly1JfB0W7a0WeolhVFPtNaV9ggaI+JaampkhPT0dsbGyJ/b/4laDiFK9TaR16S2NtbV3qma5i31S8Vunp6eJ+6+TkVOoyFdunqnPb6NGjcfr0aZw9exYZGRlwdHR8Ybu8ojP18xTvZV5entiBT5WEhATk5eW9sG4nJyeEhYWV2SmvIioV3MWflKa47FaaY8eOISUlRemyR3VKS0sT/61o+C/v9F5eXmjcuDG2bt2Kc+fO4dmzZwgPD0d4eDhkMhm6deuGr776Su0B/jLbpPCih1qoOjMrzYwZM+Dk5ISdO3fi4sWLePjwIUJDQxEaGgo9PT24u7tjwYIFVfqACFUHWcV2pqeni536yqI4Y1CcnRobG5c6bVU2iSjWFxcXV+KM8Xmq3rvyNDsovqA8ffpUHFbW9j3PxsYGrq6uOHfuHEJCQjBt2jTk5uaKl87Le5n82bNn4r9VdZIEikKzIr7//nu4uroiMDAQkZGRuHv3LoKCghAUFARDQ0N4eXlhzpw5FbqdsPiXnooobZuKj3u+B7E6KPaxF33mTExMkJ6ervIs8kX7mVDBnuUVea2K11PWFzHFuMzMTAiCoNS8IZPJ0L17d5w9exZAUfPKi/aJ0jpPF//sqPpMKhS/0lXWa6+ou6yz94qocHDn5eXhwIEDAIo+gKUFgiAIePDgAfLy8hAUFARfX9+Xq7Scir/gly9fLnPnUaVjx47o2LEjsrOzcfHiRfz11184c+YMrl+/jpMnT8LHxwf79+8vd3tYVXjZbaoOvXv3Ru/evZGeni72Jj916hRu376NAwcOIC0tTen2i+qg2Pfc3NywevXqcs+n+BCV9WjeFx18SzuIZWZmlhhmZGQkvh6qLkdWpeKfx4oeJAYPHoxz584hNDQU06ZNw6lTp/D06VM4ODiUu6d08S886enpKq++5OTkVKgumUwGT09PeHp64vHjxzh//ry4v929e1e85D9//vwKLbcyVL2/Cor9SdUXk9L2l6ysrCqpS3FMKCtkio9XxzGkrP1PUYfitSpeT1mfS8UXQ2Nj4xLH4ISEBLF/io6ODsLCwtCrVy/x+SKqZGVlqbzaWPx1LOsKYvG609LSlO4CUlV3Vb3uFW7jPnXqlNhWuGXLFpw+fVrlf2fOnBEvlRW/b7S62dnZiW0WqjppKVy7dg03btwQd67c3FzExMQgMjISQNEZXpcuXTBjxgwEBweLO0RUVJTYYUZdKrtN1SE7OxtRUVFi27apqSl69OiBuXPn4rfffhPbmU6cOPHCg8jLatq0KQCU+Vz3rKwsXLhwAQkJCeKlPsUlwv/++6/U+VRdJi/edKCqM1R2drbKbS5PnXFxcfj777/x+PHjUqcpD3Nzc/HgUdr6Hjx4AC8vL8yYMUOp3t69e6N27dq4c+cOoqKicOTIEQDlP9sGih4TqjibLd6psbiKPIc/PT0d//zzj3gp2NLSEu+++y6++OILHDt2TGwieb5tvrrExsaWGsKK+6SLX4JWfG5L6zz34MGDKqlL0VejrOcWxMTEiF88KvKI5spKSUkptV38+dfK1NRUbA4r66qiYlzxDqVA0WX82bNnIyMjA926dcOMGTMAAF988UWZj74tbV9UHN+MjY2V+gI9r1GjRuJxoTx1V9XrXuHgDgoKAlDUBtCmTZsyp1V8qO7evSt2rqpKim9cxT9IpqamYkeV7du3q5wvISEBI0aMwIABA/D7778DKOro5O7ujokTJ6r8kBW/r7d4W4+qGl5GVW5Tdfj555/h4eGB2bNnq9zm0l6n6tCtWzfo6uri9u3b+OOPP1ROs23bNnh7e8PDw0M8u1F0nLt69arKcLl9+7bKB5vUqVNHfH9UtUUfP35c5a8hKc6yg4KCVJ7J5+fnY/LkyfD09CzxYJnKUHRkK96kVdzvv/8u3l9a/PKeoaEh+vXrJ05z6tQp6Ovro3///uVed61atcTOQKU9hCkwMLDcy1u9ejUGDx6s8nWRyWRi/5nn97Wq/lwqPH36VGU/hfv374sdpop34lOczSUmJqo8rii+HD2veNNVebZBsY9du3at1GYjxR0YDRo0KLXNtioJglDqg4gUdyoUf60U/96zZ4/K1+rZs2din4vnO2tu2LABV65cgbm5ORYuXIhx48bB0dFR7ERb2muoyLPnKfbd7t27l9msYmxsLN4lUdaxWdEhtnjdFX2Pi6tQcD98+BBnzpwBUL5v4R4eHuJl3uq4NUyxbEWnLIWpU6dCV1cXYWFhWLJkidIZaHR0NCZOnIi8vDzY2NiIB6WuXbvCwsICT58+hZ+fn1JbYXp6unjgaNiwoVKnG8Wlj+drkMI2VYd3330X+vr6iI6OxuLFi5UuHT5+/Fh80piLi0u13zpnY2ODIUOGACj64QXFhwMousUtMDAQ/v7+AIp6tyoukcvlcgwYMACCIGDKlClK4R0TE4OPPvpI5ZeOWrVqiZeM16xZo/RN/uzZs/j6669V1jly5EhYW1sjPj4ekyZNUnpvHz9+jOnTpyMmJgb6+vpiz9+XMX78eBgYGODixYv4+uuvlS7Hnj59WnyPVD1cQtFr96effsLTp0/RvXv3Cnc2nDp1KvT19XH06FF8//334kE4Ly8Pq1atKvMJbc8bMGAAZDIZTp48iU2bNokdgYCiz4iiOeb5nsOKz5HiCWpV6bPPPlN6wlVCQgJ8fX3FW/CKh5Hibohnz55hxYoV4he7rKwsLFu2rNQTmuLNY+U5trRt21Z8DaZNm6ZUX25uLlavXo1ffvkFADBnzhy1NfUtX75c6UTi0aNHmDp1KpKTk2FnZwdPT09x3IQJE2BiYoLo6Gh8/PHHSr+YlZCQAB8fH6SkpKB+/foYM2aMOO7vv/8Wn5o2d+5c1K9fH3p6eliyZAn09fVx7ty5UkM1PDwcq1atEt+XvLw8rFixAocPH4aBgYF4y2VZpkyZAj09PZw9exaff/650qX+qKgoTJgwATk5OXBwcFC6I6Gi73FxFWrj3r9/P/Lz86Gvr1/qbUnFmZqaon///vj5559x+vRp3Lt3r0LFvUjr1q3x119/4euvv8aePXswYsQIeHp6on379li4cCG++OILbNu2DXv37kXz5s2RkZGB+Ph4CIIAKysrbN68Wey8YGBggFWrVuHDDz/EoUOHcOzYMTRq1Ag6OjpISEhAZmYmjIyM8O233yp1eFD0kL18+TL69u2LFi1aiGGh6W2qDvXq1cPixYsxe/ZsbN++HUFBQWjUqBEKCgpw584d5OTkwMLCQnyyWnWbN28ekpOTceLECUyaNAn16tVD/fr1cffuXfGys5ubG6ZPn64035dffokHDx4gIiIC77//Plq0aAFdXV3cvHkTZmZmsLGxUXnQnz59OiZNmoRbt26hV69eaNGiBZ49e4a7d++iTZs2aNeuXYkzstq1a2P9+vWYNGkSzp07h549e6JFixaQyWSIjY1Fbm6ueJ99VZwJtWjRAt999x3mzJmDXbt24ddff0WzZs3w6NEj8TM4aNAgjBgxosS8jo6OcHBwEC8VVuQyuYJcLsfixYsxb948bNq0CYGBgWjUqBESEhLw9OlT9O7du9Qzzec5OTlh+vTpWLFiBb7//nts2LABtra2yMrKQkJCAvLz89GoUSPMnTtXab7WrVsjOjoamzZtwqlTp9CnTx9Mnjy5wtvyPMVZ3OjRo9GkSRMYGRkhOjoaBQUFaNasGVatWqUUinK5XKlXfEhICBo0aID4+Hikp6dj+vTpSs8YUKhTp464D3700Udo1qwZPv744zJ/D/y7776Dr68vrly5gtGjR8PGxgaWlpaIjY1Feno6dHV1MX36dLz33nsv/TqUh2L9H3/8MV577TVYWFjg5s2byM3NhbW1NdauXasUXnZ2dli9ejU+/vhjHD9+HN26dUOLFi1QUFCAW7duobCwEK+99hr8/f3FL5NZWVmYPXs28vLy0LVrV/GLJ1B0VdjX1xdr1qzBsmXL0Llz5xJPx5PL5Vi3bh12794NOzs7cR+tVasWlixZovJ20ee1bdsWixYtwvz58/HLL7/gwIEDaN68OTIzM8Ve5HK5HP7+/krH5sq8xwoVOuNWXPbo0aNHub+FKy6XFxQU4Oeff67I6l5o8eLF6Ny5M/T09BAbG6vUY3fw4MEICQnB0KFDYW1tjZs3b+LevXto3rw5xo8fjwMHDohtjwodO3ZEYGAgPDw8YG1tjbi4ONy5cwf169eHt7c3Dh06VOLhEQMHDsT48eNhbW2NxMRE/Pfffy/Vnl/V21QdBgwYgB07dsDNzQ3m5uaIiYnB3bt30bhxY/j4+ODQoUOl3gpU1QwNDbF+/XqsWLECb7/9NvLy8vDff/+hoKAAHTt2xNKlS7Fy5coS92qamJhg8+bNWLBgARwdHZGYmIjk5GS8++67CAoKKrVdq2vXrti9ezd69eoFY2Nj3Lp1C4aGhpg2bRp2795dak/uNm3aIDQ0FB999JH4SNbbt2/DysoKAwcOxL59+6r03vd3330XISEhGDJkCCwsLHDjxg2kpaWhY8eOWLlyJZYsWVLqWZfi/mtra+sSj6QsrwEDBiAwMBD9+vVDrVq1cOPGDVhbW+Pzzz/HZ599VqFl+fr6Yu3atejWrRsMDAwQHR2Nhw8folWrVvjkk08QEhJS4lYmPz8/uLm5wcjICLGxsVV2i5aFhQV++eUXDBkyBOnp6YiJiUGjRo3w0UcfISgoSOUdJ0uXLhX3s8zMTNy5cwdt2rTBxo0bMWHChFLXtWrVKrRt2xaFhYXisagsderUwY4dO7Bw4UK8+eabSEtLw40bN2BhYQFPT08EBQWpfOxndTEwMMBPP/2EcePGQRAEREdHw9raGmPGjMGBAwdUfknt0qULDh48iA8++AC2traIjY3FvXv30KpVK8ycORMhISFKt7wtXboUsbGxMDMzw8KFC0ssz8fHBw4ODsjJycGsWbNKXIL38/PDggULYG1tjRs3bsDIyAiDBg1CcHBwiQdMlWXgwIEICQmBl5cXrKyscPPmTTx58gTt2rXDggULEBQUBDs7uxLzVfQ9VpAJVd0IRPQK8Pb2xoULF+Dr6yt2dKkpvv32W2zduhUffvgh5syZo+lyiKqc4kvD1q1bq/x3CdThpX4djIheLTk5OThw4ABkMpnYf4CIpOWlfh2MiLTfkydPxP4Ay5Ytw6NHj9C9e3e1NLsQUcUxuIlquLi4OKXnhxsZGZXo7EVE0sFL5UQ1nJ2dHRo0aAADAwO4uLhg69atJR5wQUTSwc5pREREWoRn3ERERFqEwU1ERKRFGNxERERahL3KNSA1NQsFBer5tTQiouqkq6sDc3PVP+9M1YPBrQEFBYXIz2dwExFRxfFSORERkRZhcBMREWkRBjcREZEWYXATERFpEQY3ERGRFmFwExERaREGNxERkRZhcBMREWkRBjcREZEWYXATERFpET7ylF55Dx8+QGZmhqbLIDUxNjaBtXU9TZdBVG0Y3PRKS0tLw6effgJBEDRdCqmJjo4Oli9fBzMzM02XQlQtZAKPaGr35EkGf2REjWriGfe9e0nYuHEdJkyYjIYNX9N0OWrFM2710tPTgYWFiabLqFF4xk2vvJp8EG/Y8DU0btxU02UQURVi5zQiIiItwuAmIiLSIgxuIiIiLcLgJiIi0iIMbiIiIi3C4CYiItIiDG4iIiItwuAmIiLSIgxuIiIiLcLgJiIi0iIMbiIiIi3C4CYiItIiDG4iIiItwuAmIiLSIgxuIiIiLcLgJiIi0iIMbiIiIi3C4CYiItIiDG4iIiItwuAmIiLSIgxuIiIiLcLgJiIi0iIMbiIiIi3C4CYiItIiDG4iIiItwuAmIiLSIgxuIiIiLcLgJiIi0iIMbiIiIi3C4CYiItIiDG4iIiItwuAmIiLSIgxuIiIiLcLgJiIi0iIMbiIiIi3C4CYiItIiDG4iIiItwuAmIiLSIgxuIiIiLcLgJiIi0iIMbiIiIi3C4CYiItIiDG4iIiItwuAmIiLSIjU2uAsLC7Fz504MGDAAzs7O6NatGz799FMkJycrTZeUlIQ5c+agS5cucHFxgZeXF44dO6ahqomIqKaTdHAnJSUhOzu71PHPnj1DREREpZY9d+5cLFy4ELa2tpg3bx769u2L0NBQeHt7IzU1FQDw8OFDjBo1CkePHsXgwYPh5+eH/Px8TJ48GaGhoZVaLxER0cuQdHD37NkTR48eLXX8kSNHMGnSpAov98iRIwgJCcGIESOwbt06DBs2DJ9++ikWLlyI+Ph47N27FwDg7++Pu3fvYuPGjZgxYwZGjBiB3bt3Qy6XY9GiRcjMzKz0thEREVWGnqYLKC4hIQEhISHi34IgIDw8HHFxcSWmFQQBx44dg76+foXXs2fPHpiYmGDmzJlKw9977z3cvn0bTZo0QUFBAQ4cOAAXFxe0b99enKZWrVrw9vbG559/jpMnT8Ld3b3C6yciIqosSQW3jY0Nfv/9d9y6dQsAIJPJEB4ejvDw8FLnGTt2bIXWUVBQgIsXL6Jjx44wNTUFAGRnZ0NHRwcGBgZimEdFRSEzMxMuLi4lluHs7AwAiIyMZHATEZFaSSq4dXR0EBAQgISEBAiCgHHjxsHHxweurq4qp7WyskLz5s0rtI7ExETk5OTA1tYW4eHhWLNmDaKjo6Grq4tOnTrhs88+Q7NmzcROag0bNiyxjAYNGojLIiIiUidJBTcA2NrawtbWFgAwZcoU9OnTB3K5vMqW/+zZMwDAn3/+iX379mHs2LH4+OOPERUVhU2bNmH48OEICgpCWloaAMDY2LjEMoyMjAAAWVlZla5DJqv0rEQvpNi/ZDLua0SvGskFd3FTpkwpMaygoABnz56Frq4u3nrrLejoVKx/XW5uLgAgNjYWa9euRa9evQAAvXr1gqOjI3x9fbFq1Sp069at1GUIggCg6FJ+ZVhYmFRqPqLyevasaB+rU8cEVlZmGq6GiKqSpIMbAJYtW4aYmBisW7cOBQUFGDlyJCIjIwEArVu3xk8//SS2VZeH4gy6fv36YmgrdO/eHfXq1cO5c+fEtmtVt6MpzrTNzc0rtU1PnmSgoKCwUvMSlcfTpxni/1NS0jRcDb3KdHV1eDKiZpIO7q1bt2Ljxo148803AQCHDx/G1atX0aNHD7Rs2RKbN29GQEAAZs2aVe5lKtqsraysVI63srLCrVu3xMv19+/fLzGNov1b0dZdGf9/0k5ULRT7lyBwXyN61Ug6uENCQtCpUyds2bIFAHD06FEYGBjg+++/h4mJCdLS0nDkyJEKBbeFhQUaNWqEuLg45OTkwNDQUBxXUFCAxMRE2NraolmzZjAzM8O1a9dKLENxxt+uXbuX3EIiIqKKkfQDWOLj49G3b1+xLTkiIgIuLi4wMSm6LNOqVSvcu3evwssdPHgwMjIysGnTJqXhe/fuRWpqKvr16wc9PT24u7vj8uXLuHz5sjhNdnY2du7cCSsrK3Tt2vUlto6IiKjiJH3GbWBgIHYE+/fff/H48WOMHDlSHJ+amgozs4p3vBk3bhxOnjyJ1atX4/bt2+jQoQOuX7+OwMBAODg44MMPPwQATJ06FcePH8eECRMwduxYWFpaIigoCDdv3sTy5cuVztaJiIjUQdLB3axZMxw/fhzDhg1DcHAwZDIZ3nnnHQBAeno6goODK3wfN1D0hUDRfh4aGorDhw/DysoKY8aMwZQpU1CrVi0AgLW1Nfbs2YNly5Zh+/btyMvLg729PTZs2FBmr3MiIqLqIung9vb2xsyZM9G+fXvxKWaOjo74+++/MWnSJDx69AiffPJJpZZtZGSEadOmYdq0aWVOZ2dnh5UrV1ZqHURERFVN0sHt7u4OPT09BAcHo0GDBpg6dSqAoueFm5iYYM6cOejZs6eGqyQiIlIfSQc3APTp0wd9+vRRGtayZUscPnxYQxURERFpjuSDGyi6b/rkyZO4e/cuBg8eDGNjYyQnJ8PJyUnTpREREamV5IN7+/bt+OGHH5CbmwuZTIZOnTohJycHkyZNwsiRIzF//nxNl0hERKQ2kr6P+8SJE1i8eDHatm2Lr776Srw1rFmzZmjbti127dqF4OBgDVdJRESkPpIO7s2bN6N169bYsmWLUjt3o0aNsH37djg5OWHPnj0arJCIiEi9JB3c169fx3vvvQddXd0S4/T09ODh4YG4uDj1F0ZERKQhkg5uAGU+nSw3Nxf5+flqrIaIiEizJB3ccrkcJ06cUDmuoKAABw8eRMuWLdVcFRERkeZIOrhHjRqFP/74A9988w1iYmIAAJmZmbh27Rp8fX3x77//wsvLS8NVEhERqY+kbwfr378/oqKisHnzZuzatQsAMGXKFACAIAjw9PSEp6enJkskIiJSK0kHNwDMnj0bbm5uCAsLQ1xcHAoLC2Fraws3Nzd06tRJ0+URERGplaSDOykpCZaWlnB2doazs3OJ8ampqfj333/h6uqqgeqIiIjUT9Jt3D179sTRo0dLHR8eHo5JkyapsSIiIiLNktQZd0JCAkJCQsS/BUFAeHi4ynu1BUHAsWPHoK+vr8YKiYiINEtSwW1jY4Pff/8dt27dAgDIZDKEh4cjPDy81HnGjh2rrvKIiIg0TlLBraOjg4CAACQkJEAQBIwbNw4+Pj4q27B1dHRgZWWF5s2ba6BSIiIizZBUcAOAra0tbG1tARTd+tWnTx/I5XINV0VERCQNkgvu4hT3bBMREVERSfcqJyIiImUMbiIiIi3C4CYiItIiDG4iIiItwuAmIiLSIpLuVQ4UPSEtIiICDx8+RGFhocppBg4cqN6iiIiINETSwR0bG4vx48cjKSlJ5XhBECCTyRjcRERUY0g6uJctW4akpCQMHDgQTk5OMDAw0HRJREREGiXp4I6IiMDw4cOxYMECTZdCREQkCZLunFZQUIBWrVppugwiIiLJkHRwOzk54fr165oug4iISDIkHdwff/wxQkJCcOjQIRQUFGi6HCIiIo2TdBv3hg0bYG5ujpkzZ+LTTz9F7dq1oaOj/F1DJpPhxIkTGqqQiIhIvSQd3DExMdDV1UXDhg01XQoREZEkSDq4jx8/rukSiIiIJEXSbdxERESkTFJn3KtWrULfvn1hb28v/v0iMpkM06ZNq+7SiIiIJEFSwb1+/Xo0a9ZMDO7169e/cB4GNxER1SSSCu7t27ejefPmSn8TERHR/0gquDt06FDm30RERDUdO6cRERFpEQY3ERGRFmFwExERaREGNxERkRZhcBMREWkRSQf3qFGjsH//fmRlZWm6FCIiIkmQdHDfvHkTn376KTp37ozPPvsMly5d0nRJREREGiWp+7ifd/bsWZw4cQK//vorQkJCEBwcjEaNGmHQoEEYOHAg6tevr+kSiYiI1ErSZ9z6+vro06cP1q9fj9OnT2Pu3LkwNjbGihUr0KNHD3z44Yc4dOgQcnNzNV0qERGRWkj6jLs4S0tLjBkzBmPGjEFCQgLWrl2L/fv349y5czA3N8fgwYMxduxYWFtba7pUIiKiaqM1wQ0AMTEx2L9/Pw4fPow7d+5AX18fvXr1gkwmw86dOxEYGAh/f3907NhR06USERFVC8kH9+PHjxEaGoqQkBD8999/EAQB9vb2+Oyzz9C/f3/UqVMHAJCQkIDhw4fj66+/xsGDBzVbNBERUTWRdHD7+Pjgjz/+QH5+PszNzTF8+HAMHjwYjo6OJaa1s7PDW2+9hWPHjmmgUiIiIvWQdHCfPn0aHTt2hKenJ/r06QMDA4Myp2/fvj3efPNNNVVHRESkfpIO7qNHj8LGxqbE8MzMTBgbG5cYPnToUHWURUREpDGSvh3MxsYGp06dwqBBg3D//n1x+OLFi9GvXz9cvHhRg9URERGpn6SD+88//8TkyZORlJSEjIwMcbi9vT2ePn2KsWPH4p9//tFghUREROol6eBev349mjZtisOHD6N58+bicG9vbxw8eBB2dnZYs2aNBiskIiJSL0kH940bNzBs2DDUrl27xLjatWvDy8sLf//9twYqIyIi0gxJB3dBQQFycnLKnIa/HEZERDWJpIO7VatWCA0NRX5+folxBQUFCAsLg1wu10BlREREmiHp4B45ciSioqIwbtw4HD16FDExMYiJicHRo0cxfvx4XL9+Hd7e3pouk4iISG0kfR933759MXXqVKxbtw5//fVXifG+vr7o16+fBiojIiLSDEkHNwB89NFH8PDwwNGjR5GYmIi8vDzY2tqiV69eaNq06Usvv6CgAN7e3rh06RKuX78OPb3/vSRJSUlYuXIlzp07h7S0NNjb28PHxwc9e/Z86fUSERFVhuSDGwBsbW3xwQcfVMuyAwICcOnSpRLDHz58iFGjRuHp06fw9vZG/fr1ERQUhMmTJ+OHH35A//79q6UeIiKismhFcN+5cwcPHz5EYWGhyvGVfT75tWvXsG7dOhgYGCA3N1dpnL+/P+7evYvdu3ejffv2AIBBgwZhyJAhWLRoEXr27KnysatERETVSdLB/fDhQ0yfPh2XL18uc7r//vuvwsvOyMjArFmz8PbbbyMjIwMXLlwQxxUUFODAgQNwcXERQxsAatWqBW9vb3z++ec4efIk3N3dK7xeIiKilyHp4P7hhx9w6dIldOjQAU5OTi/8dbCKWLRoEdLS0vDNN99gxowZSuNu3ryJzMxMuLi4lJjP2dkZABAZGcngJiIitZN0cJ86dQrvvfceli1bVqXLDQ8Px759+7B27VpYWVmVGJ+cnAwAaNiwYYlxDRo0AAAkJiZWaU1ERETlIengzsrKgqura5UuMzk5GZ9//jk8PT3Rq1cvldOkpaUBgMo2bCMjI7G2lyGTvdTsRGVS7F8yGfc1oleNpIO7ZcuWiI2NrbLlCYIAPz8/mJmZYd68eWVO96Jxspc4GlpYmFR6XqLyePasaB+rU8cEVlZmGq6GiKqSpIPbx8cHfn5+cHNzU9neXFFbt25FREQE1q5di5ycHPE56Hl5eQCAp0+fQl9fHyYmRQe97OzsEstQnGmbm5tXuo4nTzJQUKC6hzxRVXj6NEP8f0pKmoaroVeZrq4OT0bUTNLB/ccff8DCwgLDhg2Dra0trKysoKOj/JRWmUyGnTt3lmt5J06cgCAImDx5ssrxnTt3ho2NDQICAgAA9+/fLzGNov1b0dZdWWWc1BO9NMX+JQjc14heNZIO7r1794r/TkhIQEJCQolpKnLJ2s/PD6mpqSWGf/vtt7hx4wY2b94MIyMjNGvWDGZmZrh27VqJaSMjIwEA7dq1K/d6iYiIqoqkgzsqKqpKl+fk5KRyuOL3vl1dXcVHnrq7u+OXX37B5cuXxZDOzs7Gzp07YWVlha5du1ZpbUREROUh6eDWpKlTp+L48eOYMGECxo4dC0tLSwQFBeHmzZtYvnw5DA0NNV0iERHVQJIP7tzcXOzYsQNHjhxBYmIiVq5cCSMjIwQHB2Py5MmoW7dutazX2toae/bswbJly7B9+3bk5eXB3t4eGzZsQLdu3aplnURERC8i6eDOycnBmDFjcPXqVRgaGiI3Nxd5eXlISUnBrl27cPbsWezevfulw3vHjh0qh9vZ2WHlypUvtWwiIqKqpPPiSTQnICAAkZGRWLRoEY4dOybeQ+3m5oYvvvgCiYmJ2LBhg4arJCIiUh9JB/ehQ4fg4eGBwYMHQ1dXVxwuk8kwfPhwDBo0CCdPntRcgURERGom6eBOSkrC66+/Xup4Z2dnlfdaExERvaokHdxmZmZ49OhRqePj4+NhZsbHORIRUc0h6eB2dXVFYGCg+KMfxcXFxWHv3r148803NVAZERGRZki6V/nUqVPh6ekJDw8PdOvWDTKZDOHh4Th8+DBCQkJQWFgIX19fTZdJRESkNpI+427atCm2bt0KY2Nj7NmzB4IgYM+ePdi7dy8sLS0REBAABwcHTZdJRESkNpI+4waKOqCFhYUhKioKsbGxEAQBtra2cHJyKvGDI0RERK86yQe3goODA8+uiYioxpN0cPv7+79wGplMho8++kgN1RAREWme1ga3TCaDIAgMbiIiqlEkHdxbt24tMSw/Px8pKSk4cOAAHj58iPXr12ugMiIiIs2QdHB36tSp1HEDBw7EqFGj8NNPP2H+/PlqrIqIiEhztLZbtkwmw3vvvYfff/9d06UQERGpjdYGNwBkZWWpfKoaERHRq0rSl8oLCwtVDs/NzcU///yDbdu2oXnz5mquioiISHMkHdytW7eGTCYrdbwgCJg7d64aKyIiItIsSQd3aT8goqenh3r16mHgwIFldmAjIiJ61Ug6uHfs2KHpEoiIiCRFqzunERER1TSSPuOeM2dOheeRyWRYunRpNVRDRESkeZIO7iNHjqCgoAB5eXkQBAEAoKuri4KCAgD/e+xpcQxuIiJ6lUk6uA8cOIDRo0dDLpdjypQpkMvl0NfXR0JCAjZt2oTQ0FCsWrUKLVq00HSpREREaiHp4F68eDFsbW0REBCgdFtY48aNsXDhQjx+/Bg7duzApk2bNFglERGR+ki6c1pERAT69u1b6r3cnTt3xsWLF9VcFRERkeZI+oy7Vq1aSEpKKnX8rVu3YGpqqsaKtNujRylIT+cjYmuCe/eSlP5Prz5TUzPUrWul6TJIDSQd3G+99RZ27tyJDh06oFu3bkrjDh48iF9++QWenp4aqk67PHqUgvmfzURuXr6mSyE12rhxnaZLIDUx0NfDN4uWMbxrAEkH9/Tp03H27Fn4+vqiadOmaNy4MQRBQGxsLO7cuYNGjRph+vTpmi5TK6SnpyE3Lx/e8gQ0MM7WdDlEVIXuZ9bCjmg7pKenMbhrAEkHt52dHX799VcsW7YMJ06cwO3btwEAtWvXxrBhwzB9+nTUrl1bw1VqlwbG2bAzZXATEWkrSQc3ALz22mtYtmwZBEHAkydPAACWlpYaroqIiEgzJN2rXCEnJwd//PEHjhw5gry8PKSmpuLhw4eaLouIiEjtJB/c4eHh6N69OyZMmIAvv/wSt2/fxtWrV9GjRw9s3bpV0+URERGplaSD+/Lly5gxYwbq1KkDHx8fcXi9evXw2muv4bvvvsPRo0c1WCEREZF6STq4169fDxsbG+zbtw+jR48Wn0vu4OCAffv2oWnTpti2bZtmiyQiIlIjSQf31atXMWjQIBgZGZV4epqpqSmGDBmCW7duaag6IiIi9ZN0cOfm5pZ5u5eenh6ys3lrExER1RySDu6mTZviwoULpY4/duwYGjdurMaKiIiINEvSwT148GD8/vvv2Lp1KzIyMgAU/d72o0ePsGDBApw/fx4eHh4arpKIiEh9JP0AllGjRuHy5ctYunQpvvvuO8hkMkyaNAnZ2dkQBAFdunTBmDFjNF0mERGR2kg6uGUyGVasWIHevXvj4MGDiIuLQ2FhIWxtbeHm5oZBgwZBR0fSFw2IiIiqlKSDe9euXXB1dYW7uzvc3d01XQ4REZHGSfp0dfny5fjtt980XQYREZFkSDq4dXR0UKdOHU2XQUREJBmSDu7x48dj06ZNuHDhAgoLCzVdDhERkcZJuo37r7/+QmpqKsaMGQN9fX3Url0burq6StPIZDKcOHFCQxUSERGpl6SD+/bt26hTpw4vlxMREf0/SQX3b7/9hnbt2qF+/foAgOPHj2u4IiIiImmRVBv3ggULcObMGfHv0aNH488//9RgRURERNIiqeDOy8vD3bt3xb8vXLiAlJQUDVZEREQkLZK6VN66dWsEBATg1KlTMDU1BQAEBAQgMDCw1HlkMhl++ukndZVIRESkUZIK7oULF2L27Nm4ceMGCgoKIJPJEBMTg5iYmFLnef53uomIiF5lkgru5s2bIzg4GACQn58PJycnLF26FP369dNwZURERNIgqeAuTk9PD1OmTEGrVq1K3LtNRERUU0k2uAFgypQpmi6BiIhIUiTVq5yIiIjKxuAmIiLSIgxuIiIiLcLgJiIi0iIMbiIiIi0i6V7lQNEPj5w8eRLJyckqf5ObT04jIqKaRNLBvWXLFnz//fcQBKHUafjkNCIiqkkkHdx79+5Fy5YtsWzZMjRu3LhKH8Ry48YNrF27FhcuXEB6ejqsra3Rs2dPTJs2Debm5uJ0N2/exIoVK3DlyhVkZ2fD2dkZ06ZNQ/v27ausFiIiovKSdHAnJyfj008/RcuWLat0ubdv38awYcOgp6eHESNGoGHDhrh69Sp27dqFiIgI/PzzzzAxMUFMTAxGjBgBQ0NDeHt7w8TEBLt27cKYMWOwZcsWdOjQoUrrIiIiehFJB3ezZs3w6NGjKl/uN998g7y8PAQFBaF58+YAgGHDhqF169ZYtGgRdu7cCR8fHyxZsgQ5OTkIDg6GnZ0dAKB///7o378/vvrqKxw8eLDKayMiIiqLpHuV+/j4YOfOnYiKiqqyZebk5OCvv/7CG2+8IYa2wsCBAwH873fAz5w5g549e4qhDQCWlpbw9PTErVu3EBkZWWV1ERERlYekz7j79u2LkJAQDB48GI0aNYKVlVWJzmgV7VWur6+PQ4cOqeyhnpKSAgDQ1dUVQ9nFxaXEdM7OzgCAyMhIleOJiIiqi6SDe/369Thx4gQAIDY2FrGxsSWmqWivch0dHaUz6OI2btwIAOjYsSPu378PAGjYsGGJ6Ro0aAAASExMrNC6iYiIXpakg/vnn3+Gvb09vv32WzRv3rxaf94zODgYwcHBaNiwIYYOHYpdu3YBAIyNjUtMW6tWLQBAVlZWpden7rvYeNcc0atPJuNnvSaQdHA/fvwYPj4+aNWqVbWuJygoCAsWLICxsTFWr14NU1PTMu8dV6jsPeQWFiaVmu9lPHum/nUSkXrVqWMCKyszTZdB1UzSwV1dvcqLW716NdauXQtTU1Ns2LBBbL82MSkKuuzs7BLzKM60i9/vXRFPnmSgoKBkG3t1evo0Q63rIyL1e/o0AykpaWpdp66ujkZORmoySfcqnzBhAnbs2IFr165V+bLz8vLg5+eHtWvXol69eti1axfeeOMNcbytrS0AiG3dxZXV/l1egqD+/4jo1cbjSs0g6TPuK1euwNjYGEOHDkXDhg1hbW0NPT3lkmUyGXbu3Fmh5RYUFOCTTz5BeHg45HI5fvzxxxIh3KZNG+jo6Kj80qAY1rZt2wpuERER0cuRdHAXD+SkpCQkJSWVmKYy7cwrV65EeHg4nJ2dsXnzZpWXvK2srPDWW28hPDwc06ZNE3uiP378GPv27YODgwNat25d4XUTERG9DEkHd1U+eEUhISEBW7ZsgUwmQ+/evcXbzYqrW7cuunTpAj8/PwwdOhTDhw/HBx98AAMDA+zatQupqalYtWpVlddGRET0IpIO7upw5swZ5OfnAwCWLVumcpp27dqhS5cukMvl2L17N5YvX45169ZBR0cHTk5OWLp0KV5//XU1Vk1ERFRE8sGdm5uLHTt24MiRI0hMTMTKlSthZGSE4OBgTJ48GXXr1q3Q8kaMGIERI0aUe/pWrVqJD2YhIiLSNEkHd05ODsaMGYOrV6/C0NAQubm5yMvLQ0pKCnbt2oWzZ89i9+7dFQ5vIiIibSXp28ECAgIQGRmJRYsW4dixY+JDUdzc3PDFF18gMTERGzZs0HCVRERE6iPp4D506BA8PDwwePBgpcedymQyDB8+HIMGDcLJkyc1VyAREZGaSTq4k5KSyuwE5uzsrPIBKURERK8qSQe3mZlZmY88jY+Ph5kZn8tLREQ1h6SD29XVFYGBgUhLK/ns3bi4OOzduxdvvvmmBiojIiLSDEn3Kp86dSo8PT3h4eGBbt26QSaTITw8HIcPH0ZISAgKCwvh6+ur6TKJiIjURtJn3E2bNsXWrVthbGyMPXv2QBAE7NmzB3v37oWlpSUCAgLg4OCg6TKJiIjURtJn3EBRB7SwsDBERUUhNjYWgiDA1tYWTk5O0NGR9PcOIiKiKifp5PP390d0dDQAwMHBAe+++y7c3d3h7OwMHR0dREZGYv78+RqukoiISH20JrhVuXz5MkJCQtRYERERkWZJ6lJ5fHw8xo8fj8LCQnHY4sWLsWLFihLTCoKABw8ewMbGRp0lEhERaZSkzrgbN26MTp06IT8/H/n5+ZDJZCgoKBD/Lv4fUPQDIF9++aVmiyYiIlIjSZ1xA8DXX38t/tvBwQHz589H//79NVgRERGRdEguuIs7duwYLC0tNV0GERGRZEg6uNl+TUREpExSwT169OgKzyOTyfDTTz9VQzVERETSI6ngvnDhQoXnkclk1VAJERGRNEkquI8dO6bpEoiIiCRNUsHNNm0iIqKySeo+biIiIiobg5uIiEiLMLiJiIi0CIObiIhIizC4iYiItAiDm4iISIswuImIiLQIg5uIiEiLMLiJiIi0CIObiIhIizC4iYiItAiDm4iISIswuImIiLQIg5uIiEiLMLiJiIi0CIObiIhIizC4iYiItAiDm4iISIswuImIiLQIg5uIiEiLMLiJiIi0CIObiIhIizC4iYiItAiDm4iISIswuImIiLSInqYLIPVKzjTUdAlEVMX4ua5ZGNw1zPboRpougYiIXgKDu4YZLb+D+sY5mi6DiKpQcqYhv5TXIAzuGqa+cQ7sTLM1XQYREVUSO6cRERFpEQY3ERGRFmFwExERaREGNxERkRZhcBMREWkRBjcREZEWYXATERFpEQY3ERGRFmFwExERaREGNxERkRZhcBMREWkRPqu8hrmfWUvTJRBRFePnumZhcNcQpqZmMNDXw45oO02XQkTVwEBfD6amZpoug9RAJgiCoOkipO7Jkyfw9/fH8ePH8ejRIzRp0gSjR4+Gp6dnJZeXgfz8wiqu8sUePUpBenqa2tdL6nfvXhI2blyHCRMmo2HD1zRdDqmBqakZ6ta1Uvt69fR0YGFhovb11mQ8436BzMxMjBs3Djdv3sSIESPQrFkz/Pbbb/jss8+QkpICX19fTZdYbnXrWmnkg02a07Dha2jcuKmmyyCiKsTgfoGdO3fi33//xQ8//ID+/fsDALy8vDB+/Hj4+/vDw8MDDRs21HCVVJaHDx8gMzND02Wo1b17SUr/r0mMjU1gbV1P02UQVRteKn8Bd3d3pKam4syZM5DJZOLwP/74A+PGjcPMmTMxceLECi1TU5fKa6K0tDTMmDEJ3M1rDh0dHSxfvg5mZmzvVQdeKlc/nnGXIS0tDbdv30aPHj2UQhsAXFxcAADXrl3TRGlUTmZmZliyZHmNO+OuyYyNTRja9EpjcJchOTkZgiCovBRuamoKExMTJCYmaqAyqgheNiWiVwmDuwxpaUU9sI2NjVWONzIyQlZWVqWW/dwJPBERUbkwuMvwonZRQRBKXEIvD7YHERFRZTG4y2BiUhSwpZ1VZ2VlwdbWtsLLffIkAwUF7JxGRNpPV5ed09SNwV0GGxsbyGQyJCcnlxiXlpaGzMxMNGjQoFLLZidnIiKqDP7ISBlMTU3RvHlz/P333yXGRUZGAgDatWun7rKIiKgGY3C/wIABA3Dv3j2EhYWJwwoLC7FlyxYYGBjgvffe02B1RERU0/ABLC+QnZ2NwYMHIz4+Ht7e3mjatCkOHTqEP//8E3PmzMGHH35Y4WXyASxE9KrgA1jUj8FdDo8fP8by5ctx/PhxZGRkoGnTpvjggw8wcODASi2PwU1ErwoGt/oxuDWAwU1ErwoGt/qxjZuIiEiL8HYwDdDV5fclIno18HimfrxUTkREpEX4VYmIiEiLMLiJiIi0CIObiIhIizC4iYiItAiDm4iISIswuImIiLQIg5uIiEiLMLiJiIi0CIObiIhIizC4iYiItMj/AeDlF5Cj8U8ZAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 400x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_boxplot(debiased_test, color=\"darkorange\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ee14052b",
   "metadata": {},
   "source": [
    "There are no outliers anymore.\n",
    "\n",
    "Now we have 2 variants of test inteactions: classic test and it's down-sampled, debiased version. We can calculate any TruePositive-based metric on any variant of test interactions. Let's see how it's done in practice. "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7b2da659",
   "metadata": {},
   "source": [
    "# Application of debiased metrics on Kion dataset\n",
    "In rectools we have debias mechanism inside all of the appropriate metrics. So there is no need for manual debiasing of test interactions. \n",
    "\n",
    "To apply debiasing during metrics calculation you just need to specify `debias_config` during metric's initialization."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "72c97f73",
   "metadata": {},
   "source": [
    "## Prepare metrics"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 236,
   "id": "180a0525",
   "metadata": {},
   "outputs": [],
   "source": [
    "metrics = {\n",
    "    'Serendipity': Serendipity(k=10),\n",
    "    'MAP': MAP(k=10),\n",
    "    'MAP_debiased': MAP(k=10, debias_config=DebiasConfig(random_state=32, iqr_coef=10)),  # debiased version of MAP\n",
    "}"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ba5ec8aa",
   "metadata": {},
   "source": [
    "## Prepare and fit models"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 237,
   "id": "6ee8cbd2",
   "metadata": {},
   "outputs": [],
   "source": [
    "K_RECOS = 10\n",
    "NUM_THREADS = 32\n",
    "RANDOM_STATE = 32\n",
    "ITERATIONS = 10"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 238,
   "id": "6273720d",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Prepare ALS models\n",
    "\n",
    "def make_als_model(factors: int, regularization: float=0.5, alpha: float=10, fit_features_together: bool=False):\n",
    "    return ImplicitALSWrapperModel(\n",
    "        AlternatingLeastSquares(\n",
    "            factors=factors,\n",
    "            regularization=regularization,\n",
    "            alpha=alpha,\n",
    "            random_state=RANDOM_STATE,\n",
    "            use_gpu=False,\n",
    "            num_threads = NUM_THREADS,\n",
    "            iterations=ITERATIONS),\n",
    "        fit_features_together = fit_features_together,\n",
    "    )\n",
    "factors_options = (32, 64, 128)\n",
    "als_models = {\n",
    "    f\"als_{factors}\": make_als_model(factors) for factors in factors_options\n",
    "}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 239,
   "id": "6ba4b381",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Prepare ItemKNN models\n",
    "\n",
    "from itertools import product\n",
    "\n",
    "k_options = (20, 200)\n",
    "k1_options = (0.1, 3, 5)\n",
    "b_options = (0.1,)\n",
    "\n",
    "bm25_models = {\n",
    "    f\"bm25_{k}_{k1}_{b}\": ImplicitItemKNNWrapperModel(\n",
    "        BM25Recommender(k, k1, b)) for k, k1, b in product(k_options, k1_options, b_options)\n",
    "}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 240,
   "id": "bec5a1d2",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'popular': <rectools.models.popular.PopularModel at 0x1673abd60>,\n",
       " 'als_32': <rectools.models.implicit_als.ImplicitALSWrapperModel at 0x2969473d0>,\n",
       " 'als_64': <rectools.models.implicit_als.ImplicitALSWrapperModel at 0x1603e7400>,\n",
       " 'als_128': <rectools.models.implicit_als.ImplicitALSWrapperModel at 0x1603e45e0>,\n",
       " 'bm25_20_0.1_0.1': <rectools.models.implicit_knn.ImplicitItemKNNWrapperModel at 0x296945f60>,\n",
       " 'bm25_20_3_0.1': <rectools.models.implicit_knn.ImplicitItemKNNWrapperModel at 0x1603540a0>,\n",
       " 'bm25_20_5_0.1': <rectools.models.implicit_knn.ImplicitItemKNNWrapperModel at 0x160354f10>,\n",
       " 'bm25_200_0.1_0.1': <rectools.models.implicit_knn.ImplicitItemKNNWrapperModel at 0x160355000>,\n",
       " 'bm25_200_3_0.1': <rectools.models.implicit_knn.ImplicitItemKNNWrapperModel at 0x1603567d0>,\n",
       " 'bm25_200_5_0.1': <rectools.models.implicit_knn.ImplicitItemKNNWrapperModel at 0x160354670>}"
      ]
     },
     "execution_count": 240,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Prepare popular model\n",
    "\n",
    "from datetime import timedelta\n",
    "models = {\"popular\": PopularModel(period=timedelta(days=14))}\n",
    "models.update(als_models)\n",
    "models.update(bm25_models)\n",
    "models"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 241,
   "id": "c5b8d7b1",
   "metadata": {},
   "outputs": [],
   "source": [
    "# %%time\n",
    "dataset = Dataset.construct(\n",
    "    interactions_df=train,\n",
    ")\n",
    "for model in models.values():\n",
    "    model.fit(dataset)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8f3bd1de",
   "metadata": {},
   "source": [
    "## Calculate and visualize metrics"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 242,
   "id": "4bf9171f",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Collect model metrics values\n",
    "recos = {\n",
    "    model_name: model.recommend(k=10, users=test_users,dataset=dataset, filter_viewed=True) for model_name, model in models.items()\n",
    "}\n",
    "res = []\n",
    "for model_name, reco in recos.items():\n",
    "    model_metrics = calc_metrics(metrics, recos[model_name], test, train, catalog)\n",
    "    model_metrics.update({\"model\": model_name})\n",
    "    res.append(model_metrics)\n",
    "models_metrics = pd.DataFrame(res)\n",
    "\n",
    "# Collect model types for visualization\n",
    "als_model_types = [{\"model\": model_name, \"model_type\": \"als\"} for model_name in als_models.keys()]\n",
    "bm25_model_types = [{\"model\": model_name, \"model_type\": \"bm25\"} for model_name in bm25_models.keys()]\n",
    "model_types = [{\"model\": \"popular\", \"model_type\": \"popular\"}] + als_model_types + bm25_model_types\n",
    "models_meta = pd.DataFrame(model_types)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "a20780d8",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "4b2329fc7a9d4f8681a01799d166913c",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "VBox(children=(Tab(children=(VBox(children=(HBox(children=(Dropdown(description='Metric X:', options=('MAP', '…"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# When you run this notebook, the output of this cell will have an interactive widget for metrics trade-off analysis\n",
    "\n",
    "app = MetricsApp.construct(models_metrics, models_meta)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8f9813ab",
   "metadata": {},
   "source": [
    "# Metrics trade-off analysis: why do we need debiased metrics?\n",
    "Please note that we've taken MAP as an example of a TruePositive-based metrics. But logic will be the same for any other classification or ranking RecSys metric."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "3289600d",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Code in this cell is only needed fow drawing circles to highlight winnig models\n",
    "# You don't need it in your research\n",
    "\n",
    "target_metrics = [\"MAP\", \"Serendipity\", \"MAP_debiased\"]\n",
    "leader_models = {}\n",
    "for target_metric in target_metrics:\n",
    "    leader_model_values = models_metrics.sort_values(target_metric).tail(1)\n",
    "    leader_models[target_metric] = {}\n",
    "    for metric in target_metrics:\n",
    "        leader_models[target_metric][metric] = leader_model_values[metric].iloc[0]\n",
    "\n",
    "def get_leader_scatter_kwargs(leading_metric, x_metric, y_metric):\n",
    "    leader_colors = {\n",
    "        \"MAP\": \"Green\",\n",
    "        \"Serendipity\": \"Blue\",\n",
    "        \"MAP_debiased\": \"Red\"\n",
    "    }\n",
    "    res = {\n",
    "        \"x\": [leader_models[leading_metric][x_metric]],\n",
    "        \"y\": [leader_models[leading_metric][y_metric]],\n",
    "        \"marker\": dict(size=40, color=leader_colors[leading_metric], opacity=0.2),\n",
    "        \"showlegend\": False\n",
    "    }\n",
    "    return res\n",
    "    "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "bd46c2a3",
   "metadata": {},
   "source": [
    "### MAP vs Serendipity trade-off\n",
    "MAP and Serendipity usually have negative correlation for models that already show descent quality. \n",
    "\n",
    "To choose a model for usage in  real-life service it is necessary to choose a model that shows maximum MAP metric value (here it is `popular` model, highlighed in green circle). Or a model that shows maximum Serendipity value (like `als_128` model, highlighted in blue circle).\n",
    "\n",
    "Another option is to look at the scatter-plot and choose some other model that is within pareto-optimal deсisions (like some of the bm-25 models coloured in red)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "eb01c565",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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cvhhDVAKiU6cMAZFyG9KrhSn2Z9qCnzB1wU/qJYFIorX7yGdGucsI0Tf1K6k6KSMH5er3VOVgLAIhUlK5cR9V5xZM6GMSVxHa8g162iUgX30RPuIhI2tyj+rN+4fX1eIF1Uit1CVZvaxykz5qFGHzkvD6LsIj9xKhFTE2RtRkwY+2fcZH+O2SFxnyQkOeS+LfjCmqxgi1IWb2tBHL3+F6bYeoUTXzvEidW7lhp1pMQkZ3eZAACZAACcR/Ak4vIPKHUabImK+6Yw27sUKTdPRkdR+jE2ve+Tc/z/IPX4d+E7FzzxH8unJshNWcrMUSRNW5kT/24wa2Nd1G3s4XrNAGqVL4m/7gG19KR/T85RtqlOXhk6dYvHqb6jzu3TgV/ol933gEpH3z6jDmZMuULHkTaXRIrQmIdHalk2e+2paxqpblm2uj8ydT2grk+RAPHj1RkiUdVOnYbVk6UmtZZFvPbpSdDk+RD5EQWSnMfLlie2JApEx+/PkPTJi92jRSZpSTTDGRaTO5c2RWHy1Y9Yuavjeqf2uUK17QVNbPXwaoVcQkvdEJNjqiR7bNjrDcrXSYc5dspkY+ZATDDf/GGk1b+JOamjR/fG/1RtwQEPMOvNx0+U878MOExRg3sJ16a33mwjXUaNFfTRPasHBYhCZiGQMSnYBY3kc6g9IplDIf0LWJ1XoZnYDI9LEuA6aoldmMoHXj7bgwNJ9aZa1dy8icjNDJM8mztewxBi8DXuHeg8dInTKZYi1LLstIS7tm1dG2SdVoBUSnThkCIi8TjKWL5aIGY5EekZ/oBETkwniZYDyXUVd3/ThBiYIEsI+YskzVJXMOhqDZMwJiWW6GFJh35JW0jZiDn375H4w8yApU8lso0/5EVKz9RhovJgqUb63kxnKqomUMiD1txPJ3uFGHYWoUetrwLhGmusX/P7V8AhIgARIgAXMCTi8gMgSft8y3ahqIrO4U1SHTVKSz9kOvFmrqR1SdWON8yz98srSoTC2w7DQ4IiByL7lucEiIKe8y1Wvmko2YOn+d1UfZs36Keqv+plOwRECMqU5yA+m0GfEg1gTEGDnq0LyG6sgaR+OOwxQP82kP5m+fzTMvoy2DezSLNF/c8gF1nz26srPkaUwXM8TNuKe9AiLnSf4kNufsxWs4+c8lNZ9eBFiODQuGqtEQY7pWVPXQvJ6KgFjriJrHLEV1HVkGWWIfohKQzTsOoMeQ6Wq5ZElnPK/ESEmslPnhiIAYyzMbIm/vCIiMohStEh5nJR1XGVmUN+5St/63frJppDEqDsZzSbsu+Xk+JXkydezR42dqVTwZKdr/1yk1bWfBhN5q5E8O3ZcE1tpoVAJilJvEa0kcmbX7yGdRlbtRd4ypY8a/jbplMIgJARk1dTkWrt5qEjfj2oYsyAiIjLwYI4UyLUymh5kfRtof5wxWLxZk1EpG/mQ6p7V0xgiIPW3E8ndYXgR8P3qeurzkT2JRSnyWFyWKfuLQoiBR1S9+TgIkQAIkEDcEnF5ABIsRJPzX1llRBiEab/wWTeqLTz/OZreAFKvWQXWKLAO0Y1pAjI6RiIGM1GTNnEH9cZcOg8QAxISACDPZA0Pybj4FyZqAGB34qKpf99Z1ICMpchgCIv+W4HwJ9s+QPrX20se6z26PgMhbWfMAa+M53kRALBlI53nY5KXquY2RNSN2QYTN2iaYMhJkrB4WVUfUGGGSUb1aZlPczO8vox8SAByVgMiqY10HTjMJiNFxMwTc/FoxISBGHIa9AmLeSZdpXMJM4k9kGo8wtHXI1KUvqndUizQUzpcT3QdPV7Efj58+R62WA1U8hUijjJIc+mWWaQre2xAQIyblTQVkyPhFatqdISAytVOmeMry4bk/fN+EIiYERGKUZKTJGDkyLi5T/2TxBENAjJFjy5XzJL2M9MlohkyTk8B5GWWyNipjOQJiTxuxFoQuI3QypdN8Tx5pK0umfmdapMNWveH3JEACJEACzk0gXgiIdDq27DyA7zo3Qr1qpSIRFXEQgZBD3qrKPGF7R0CMP4Tytk/mkkfXkXWkcyMbBppPtTLuY3RGYkpAzl26ju1//IVv6lUwTf+xFBBZMUk6cTIXv8wX+SNwDQwKUm+Rzaf0RBUDolvFdZ/dHgExpjkd3T4nwt4n9giIxElEtaO9BFk36TQc5UsWwpjv28CIA5g7ticKf5oz2kePSkBkCtqnZVtaDc62vKCugBhv7Tt98zVaNqwc4TKOCIgEz8tzGLEt0QmIeWyEeQaMmACpZxLDIlPmzAPIbdUfqTcSqyDT4C5fu63ewMv0xlK1u6oA6fsPnyoJNl8AwZE2GtUISEwLiIyCyspTRiyLwSE2BcSYjicyKFJofhhTxmRhBQnslzgbawtNWAqIPW0kuo0IZXU7mQIobUCmipnHNtmqM/yeBEiABEjAuQnECwGRznS1Zt+pOINFk/qoaQDGIR2ifiNmq07NN/UrqpWM5LBXQIzOgKwK1KdDAzXcL8GgP0xYpFZY0lkFy3J+ueTDcsqQMY96/6ZppuU4ZalMWclJ/tjGlIBYq3aWAmLsD2IZP2Gca3TujfnljgqI7rPbIyADxszHmk2/R9i3RGIsZEECeYuqE4Qu8tqzbT3T4gHm7MbOWIV5KzajR5u6aFqnnKoLEocg8THzJ/SO8EZW5sfLMqbGcs1RCYhc3wi2NVYrM7+ndLZk9EOWBNYVEFkuVhYcEGGUDrqsWCWHfC5tx3yUSDcGRDiK/Mtoi6xCJaMg1gRERiC+/uZ7FRBuxEZY1r82vcebVlYyjzfS+Xk03sRLWnPJMd/fxlK84oOAyNSxFt1GqRcAsqCBr09CtUiGxADJyIMjMSC6IyCG7MjUQZlCZSy+Yaw2Jp/vWDVO/R4aI9Hm0zKlzrfvO1GNVhhTsOxpI5YCIlMLv/oyf4R2ZazSJzEqEqvCgwRIgARIIP4TiBcCIphlVSb5wyyHBIbKm88HD5+oaUvGTujLp3+vArjfREBkjwp50yqjKSI6if0Smeb/y/ViSkBk2ox06KQDK3ObpQOwafteU/BzbAmIBD4X/7qTuq/51BXzKm384ZfVtSS2xFEB0X12ewTECAyWfDetXU514mQxAWNZXB0B+ah4+H4SMudcYgg+eO8dFUdj7M8hn6+eNUhdWw5jwQLp7Mt0HF+fRPjn/BW1D0Xe3FlVQLyqp1HEgMh3stdE7VYDVTrZ30CWfZbAahlxkfsaSzzrCohcx3hjLXVL9qoQgV67+Q91D91leEXuSxf7VE11lKVYpWMpTCS+Qg5rAiKd0C9rdFYBylJPZDTCw8NDPZdxGKsqyb+ls21Ims5PqCxy0K7vBJXUPKha9hKp33aI+lyC0WUBAOOIDwIieTU2ADXqn/yWGUdsCIjcS2RdYsFEhKTMZOqhLIYg8U+yqIa8WJHDWPhApKRmpeJ4/vwlNpr9dpkvT6zbRiwFRF5SSF2tVv5ztZS5CLRMJZMVAnUXudCpU0xDAiRAAiQQtwTijYAIJunEjJy6TAmHcYgsSCewY4uvTfO/5TtZcrJghdbqj6f5ylTGedaG/mWKxczFG1QAsn8SX9WhSZE8CQaOWWB6AyznG6Mla+cOQfYsGaO9l0x/keDmrctHq1vLPeSPs/m+ELICjoiIdPb2bpiq7m109GR5TfPNEq1VlwuXb6BK035qBSBZCSiqwxgBkWVApfPWqMPQaN+yGiuQyWpNkv9VG3dh0NgFkXZa163Cus8eXdlZ8pR7GwHZRj5EGD4v+DGWrt2O4X1lmdvPos3ihm17sHnHfrWPhOUhb/VbNaoSId5DplDNX7kF85ZvUZ1u8/vKNBbjftEJiJwjdWDE5GVqeon5IfWhV/v6agTEWOJ4/fyhMF+62YgBMd+9/cnTF2rFKfO58xKULhs0SqfSWIbXePNuPvXHEB2RKmO/C8mTdIJlRNDPN5HKYlT1UtqmjDgZzyLPIKs7GYdwks6l1CXpqBobc+rUHSMQ3nKFL2lXhkQf3jY7QkC7I23UeIMvq37J6l/GYUzBMlYEs/ZbIJ9FVe7GMra/rhqnpqLJIYtszF2xGQcOn0ZISKha+ll+s2QRCIm1khis6I6o6ocxOmS5CpYRnC6deWOTQZmCKBuwmi+MYSxXXLlMUdPtJd34mavV6IxxGBtMiiT+smyU2phVDt02Yvk7LCOOEidj2a5k8057pFWnXjENCZAACZBA3BGIVwJiYJIOqryhTuqfWO2pYKxH/zYwGn/gDdmIiXvI1BbZ6Vj+yKZPk1IJx3/leFvPLh25S9duK5Zp/38zPHuZSgfrwcOnePj4KZInTaKWSo2uoyxxCCKO0vGXt8KWO1zr3l86azfvPEAi7wRIlTJplPEouteTjrKM6L2XMa3NVaaMa5qPtEidlCWWhaMxlcueewsXS3bGPinmmx/qXvO/lk5EWDZWjCrm7W3xEEmV31VPT08lirJJqrVDpolJXI9sAmmMOEeVpzdpI3KOLD4g/5PRkBTJ/O0S1rfFh9clARIgARKIOQLxUkBi7vEjXkneDhbI+yEyZUgLD3d39SZZ3vjLdK81swfb3CH7beWL1yWBt00gqqleMXFf6VBWbdrP6uILMXH9+HwN2dgvsW8iNbolAnvh8k3I3ifSwd+xetwby3R8ZsK8kwAJkAAJuD4BCohZGRuxAObFLm8CZQqUeeC761cLPuF/jcDbFBBjSpP51KX/Gt+ontc8ON88jbG/CzmRAAmQAAmQgCsSoICYlaoELp+9eF1tcpYoYQK1x4XsKSIBuTxIwJUJnPjnEs5dvIZSxT61Oa3GXg6yutv5yzfUPh4ybYfHvwRu3r6PE/9cVFP5JKZFfnM+zpHZ6h4z5EYCJEACJEACrkKAAuIqJcnnIAESIAESIAESIAESIIF4QIACEg8KiVkkARIgARIgARIgARIgAVchQAFxlZLkc5AACZAACZAACZAACZBAPCBAAYkHhcQskgAJkAAJkAAJkAAJkICrEKCAuEpJ8jlIgARIgARIgARIgARIIB4QoIDEg0JiFkmABEiABEiABEiABEjAVQhQQFylJPkcJEACJEACJEACJEACJBAPCFBA4kEhMYskQAIkQAIkQAIkQAIk4CoEKCCuUpJ8DhIgARIgARIgARIgARKIBwQoIPGgkJhFEiABEiABEiABEiABEnAVAhQQVylJPgcJkAAJkAAJkAAJkAAJxAMCFJB4UEjMIgmQAAmQAAmQAAmQAAm4CgEKiKuUJJ+DBEiABEiABEiABEiABOIBAQpIPCgkZpEESIAESIAESIAESIAEXIUABcRVSpLPQQIkQAIkQAIkQAIkQALxgAAFJB4UErNIAiRAAiRAAiRAAiRAAq5CgALiKiXJ5yABEiABEiABEiABEiCBeECAAhIPColZJAESIAESIAESIAESIAFXIUABcZWS5HOQAAmQAAmQAAmQAAmQQDwgQAGJB4XELJIACZAACZAACZAACZCAqxCggLhKSfI5SIAESIAESIAESIAESCAeEKCAxINCYhZJgARIgARIgARIgARIwFUIUEBcpST5HCRAAiRAAiRAAiRAAiQQDwhQQOJBITGLJEACJEACJEACJEACJOAqBCggrlKSfA4SIAESIAESIAESIAESiAcEKCDxoJCYRRIgARIgARIgARIgARJwFQIUEFcpST4HCZAACZAACZAACZAACcQDAhSQeFBIzCIJkAAJkAAJkAAJkAAJuAoBCoirlCSfgwRIgARIgARIgARIgATiAQEKSDwoJGaRBEiABEiABEiABEiABFyFAAXEVUqSz0ECJEACJEACJEACJEAC8YAABSQeFBKzSAIkQAIkQAIkQAIkQAKuQoAC4iolyecgARIgARIgARIgARIggXhAgAISDwqJWSQBEiABEiABEiABEiABVyFAAXGVkuRzkAAJkAAJkAAJkAAJkEA8IEABiQeFxCySAAmQAAmQAAmQAAmQgKsQoIC4SknyOUiABEiABFeqAB8AACAASURBVEiABEiABEggHhCggMSDQmIWSYAESIAESIAESIAESMBVCFBAXKUk+RwkQAIkQAIkQAIkQAIkEA8IUEDiQSExiyRAAiRAAiRAAiRAAiTgKgQoIK5SknwOEiABEiABEiABEiABEogHBCgg8aCQmEUSIAESIAESIAESIAEScBUCFBBXKUk+BwmQAAmQAAmQAAmQAAnEAwIUkHhQSMwiCZAACZAACZAACZAACbgKAQqIq5Qkn4MESIAESIAESIAESIAE4gEBCkg8KCRmkQRIgARIgARIgARIgARchQAFxMGSvPkgwMEruMbpSf0SICg4FC9fhbrGA8XAU3h7ucMvkRcePH0VA1dznUukS54Itx8FICzMdZ7J0Sfx9/VCcGgYXgaGOHoplzmf7cd6UaZNngh3HwXgNduPCZC19pM+RSKXaQt8EBJwRQIUEAdLlQISDpACErkisQNlvXFRQCJzoYCw/ej+KaKA6LUfCohujWI6EogbAhQQB7lTQCggUVUhCggFRPfnhQJCAdGtKxQQCohuXWE6EnBmAhQQB0uHAkIBoYDY14g4AqLXgbKPquulpsBbL1MKiF774QiI6/0m8IlciwAFxMHypIBQQCgg9jUiCoheB8o+qq6XmgJCAdGt1YwB0SXFdCTgPAQoIA6WBQWEAkIBsa8RUUAoIDo1hgJCAdGpJ5KGAqJLiulIwHkIUEAcLAsKCAWEAmJfI6KAUEB0agwFhAKiU08oILqUmI4EnIsABcTB8qCAUEAoIPY1IgoIBUSnxlBAKCA69SQ+Cside4/QecAU9OvUELmyv6/1mAPGzMc7aVOiZcPKWumdLdGLl4EoWKE1fl87ESmT+8d59n7fdwwzFm/Aool94OXlaTM/x09dwPApyzBpSAekSpHUZnomsE2AAmKbUbQpKCAUEAqIfY2IAkIB0akxFBAKiE49iY8CcvXGHZRv0Atzx/ZE4U9zaj1mvbZD8MF772BIz+Za6V8FBSNfmW8xrM+3qFr2M61z3mai5y8CUKhiG+z6cYJTdODXbdmN70bOxV9bZyGhdwKbj77n4Em07DEGW5ePRoZ0qWymZwLbBCggthlRQDQYcR+QyJDYgbJecSggFBCNnxSw/VBAdOoJBcQ6pcBXQfi0bEv80KsFqpcvpovyraWjgLw1tPH2whQQB4uOIyAcAeEIiH2NiAJCAdGpMRQQCohOPYkpAQkIDMK33UejQqnCOHTsH+w+cALpUidHt9Z11JShiXPW4MjJ8yiSPyda1KuIPDmzmLK3cdtezFuxGWcvXke2zBnU95W+KmL6/snTFxg1bTm2/X5IffZR9vdw8Og/EUZArly/gzHTV2D/4dNI6O2FYoU+Rvc2dZE8aWJ1jr0jIO36TsCuvUfV23pjylDnb2piwpw16Nm2Lj42y/+WnQewbN0OTB3eGZeu3sLoaSuUtMgowZGT59Q0se86N0LuHJlNzyR8Zi7eoL6Xe1Qt9zm+bVAJXp4eVotNR0COnbqg7l23akmsWL9TXbvAJx9icI9mOPnPZSxc9QsuXr2l8tasTjmkS5NC3Ss4OATTF63Hz7/ux/Vb91Aobw5VbsLZOM5duo6RU5dj36G/FdP0aVLi5JlLEUZAonsmnRGQlet34sCR0yiS/yMsW/srrt+6j9qVi6NJ7XJInTJ82pbcf+zMVZDyfhkQqOpLs7rlUaVM+CjVmzKQc+0tE9329bbSUUAcJEsBoYBQQOxrRBQQCohOjaGAUEB06klMCciz5y9RuFJbdcvKZYoqwdiwbS9k7r8cNSt9iexZ3sXqjb8hNPQ1Niwcpj7/ecd+9BwyA58VyIVyJQril9/+hHRWR/dvgwqlCuH16zDUazNYdXblGvk/zo79h0/hp1/+ZxKQu/cfo0TNzsiXO5vqsD588gxzlm5SHegZI7u9kYCs3rQLA8csQMVShZE3d1Z1japlP0fZet1R5NOPMKp/a/VZWFgYqjbth0wZ0mDy0E7YfeA4WvcaB59ECVGvWkm4ubkpOZHjtzXj4eebyJRGOJUu9qliNHf5ZnRrXRvN61awWmw6AmLcWy7Qol4FpEmVDDMWbcDDx89UfhrV/ApJEvti6vyf8HXFL9C7fX11L3lOeV7hmyNrJixavVV18H9ZNgoZ06fGvQePUfzrzuoa0tlPmyoZ1m35Hw6fOGsSEOPeUT2TjoCMm7lKcZB8165cAh4e7pgwe40Ss87f1lR53brrTyWZn3z0gZr6tXPPYWzavg+LJ/dDvtxZTWztZWAr/7ptKTbTUUAcpE0BoYBQQOxrRBQQCohOjaGAUEB06klMC0i/To1Qv3opdWt5G12/7RCTTMhnRkdvx+pxSJsqOSo07KU6tmtmDzJlt3rz7yAxGJuXjDSlH9mvlWlUxDIGRN76r9q4C7+vnaCuJYeMAAwZvwh/rJuEFMmS2D0CEtUULOnQT5631hQM/tfxs2jccZhJhozn27BgKLK8947Ki7y1/6b7aCUtIjTyfDKqMmt0d9Mzdx04Fecv3TCJmWXZ2SMga+cOQfYsGdUlZGRp7IxVMHjLZ+NnrVaiJ/EYhryJ+IgAyfH4yXN8VrU9GtQojb4dG6r0c5b9jO0rxiB92pQqjWUMiK1n0hUQue62FWORKGF4XImMuvy+76iqC+aHiN/TZy/x4PFTVG7cB91b11FyZPC3h4Fc11b+ddtSbKajgDhImwISDpAxIJErEjtQ1hsXBSQyF2v7GDj40xTvT2f7sV6E3Aldr/3YuxO6MQJijFzIXa7dvIty9XuqUYhihXKrG586exm1Wg7E8mn9kf2Dd1Wg9zf1K6JLy1qmjBlvwo9sm41Fa7apDrAhEpLIUkCadh6hpmTJ23vjkPzIdKLVswYiZ7b3YkxAjA67vJGXN/PdB09Xz/Tz4hFqtMPoAP+6apyagibH0+cvUaRSW3T65ms0q1Men3z1jZrGlCZV+PdyGFOK/t61wGrFtUdAzO+9Ydse9Bk2G39ungFfn3A5W7xmG0ZMWQa5l0x5at5lJGaM7KqmrRlHzW8HIFFCbyye3FcFj9+++zCCHJkLiIe7u81n0hWQrbsOKjEyjgWrflHTygwuj548w5jpK9V0PJmCZRztmlVH2yZVrfK3xUCmoL1JmcT1HwkKiIMlQAEJB0gBiVyR2IGy3rgoIHodKAd/muL96Ww/1ouQAqLXfmJCQG7evo+v6naPICD/nL+Kr7/5XgmIjBDI0rLSMTdfHlfiEabMW4dDv8xScRKzl27C0V/nmuIjLAWkTqtBcPdwVx1QyyPPRx8giZ9PjAmIXF+k48DhU1g5Y4B6vgFdm6B2lRLq1tYE5MmzFyhauR26tqqt4jPkmWtVKo5SxfJZZNfNJGqWz/GmAiLTk3oNnRlBQGRK2NCJi1WnXuIeWvcaq0RDprAZh0idjEJJOQlf/yS+EUZszAVEptTZeqY3FZCla7dj2KSlJgGRWJ7rN++id4cGyP3h+0iZPKmaFleveukoBcQWA2OJY3vLJK7/SFBAHCwBCggFJKoqxA4UBUT354UjIBR43bpCAXEeAZFA7mLVOigRWTChtyljjToMw+Vrt7D7p8lYteE3DBq30DSSIYksBaTfiDnY99ff+HnxSNPUHUkn03RkVEIOe4PQQ0JDkadUC3zfpTHqVC0ZAZox7UoCoCVQWpbGNUYXrAnI9j8OofP3UzBlWCeUKJpXPXOBT3Jg3MDwmBnjMM9vbAmIjLzINLj2zaujTeNwgZMFBfKXa6mWH5ZliLsOnKZiL47vmKfiMuSwnIJl65liQkAMCZPRMhk1Mw65tyMCItexlX/d35fYTEcBcZA2BYQCQgGxrxFxBESvA2UfVddLTYG3XqYUEL32ExsjICIgMrohgcatGlVWAdk7/ndYBU4bnczb9x6iVK2uanqVjJJIJ13OOX3uiinuQv5bpgx9UTgPWjeuogK9ZaRl/ootmDOmB5L6+9ktIEJJRgaevwhUGx7KKEb+PNnh6eFhCjy/cOUmmtYuhx5t65qgGgIiox2F8+VUgdrzV25RAdPrFwxTozjGCIQEikvQdlBQCI7+fQ6yuZ95XIh5Sb2tERC5h8SnnDl/FR2a11DT4hau2qqEY8mUfsibK6ua7tRlwBR89UV+1KlSAldu3MHU+etUcLuxD4itZ4oJAZG8SjnLlC9ZpSs0NBQ/bv4DsgpZdFOwbI2AyHVt5d8Z/0JQQBwsFQoIBYQCYl8jooDodaDso+p6qSkgFBDdWm1tBNFeATE6yOYxILfuPEDpOt1Up1pWuZLjzIVrqNGiP1ZM/14tSxsUFIwxM1ZBptoYR6OaZdC1ZS0kSOClPpJlensPm2X6vlq5z8NXwRrXU3Xy5ZCO/w8TFqu4D+OQuJPxgzqoURF7R0DkGhI8PnzyUohoyHFwywxTkLsRjL5l6Ui8+06aSAIiKznJju1yiGiN7NfSlE6mLMnzTp63LkIcgwiJiIu1Q2cndMsAf7mOscqYed7Np2BJGolr6T10pooHMQ7z/U8kvyOnLsPStb+qryV+RVYG27H7MA5vmw3vBF5qZbPonskIxN+2Yozakd7aYR4cb3wv9xw2aYlpCpaIzOBxC03lLMs1i2AYIzhvysBW/nXbUmymo4A4SJsCEg6QMSCRKxI7UNYbFwUkMhdOwWL70f1TxBEQvfZjr4Do8o8qnUz7uX33AdKmThFhGpWRXlalEqGRzqshJtauJSMVIkOpkvtHm86e/EoHPbGfT4R8yapJktfpI7pEuJRpCtZKWcnJG27ubvBP7Gv1djKac//hE4SFQa3UZUxvsidvMZlWVr96+vyFWulKRnosD2Ere7LIviXu7uFT2yyP2Hgmucfla7eRPFmSKNm+KZfYyP+b5s3yPAqIgyQpIBSQqKoQBYQCovvzQgGhgOjWFQqIcwqIbvk5mk42F+wxZEa0l5HRmgmD20eZ5s8j/6BZlxERRnaMxNZiQBzNM88nAWsEKCAO1gsKCAWEAmJfI+IIiF4Hyj6qrpeaAm+9TCkgeu0ntkdAYqsFylSboOCQaG8nb/dlWlFUh6zQdfLMRUwb3jXSSIDsPj5i8jK1K7rsAM+DBN4WAQqIg2Tjm4A8f+6Gly+AV0FA0Cs3BAcDQUFAQm/AK0EYEiQAvBMCiROHwdtbHw6nYPENrm5toYDodaB0ebpqOgoIBUS3bsdEDIjuvZiOBEggZghQQBzkGB8E5OFDNzx9Aoh8vH6t/8BeXoBf4jAkTx4GX+tTQE0Xo4BQQHRrFgWEAqJTVyggFBCdeiJpKCC6pJiOBJyHAAXEwbJwZgER8bh7x02NcDh6+PmGIW26MPhEISIUEAqIbh2jgFBAdOoKBYQColNPKCC6lJiOBJyLAAXEwfJwRgF5/ChcPAJfOfhwVk5PkiQMqdOEwccn4pcUEAqIbm2jgFBAdOoKBYQColNPKCC6lJiOBJyLAAXEwfJwNgF58gS4dsUNr8OsLzHn4OOq0729w/B+5vB4EeOggFBAdOsWBYQColNXKCAUEJ16QgHRpcR0JOBcBCggDpaHMwnIvbtuuH3bTa3J/bYPWWL7/fdlSlb4zSggFBDdOkcBoYDo1BUKCAVEp55QQHQpMR0JOBcBCoiD5eEsAvLwAXD9uruDT2Pf6R7uYciSNQwJE1JArJFjB8p6faKAUEB0fmnYfiggOvXkvy4gW3cdRP482dVGgLFxXLp6C3cfPEahvDli5HYhoaFwd3OPtBzw69dhePj4Kby8PKPcrE82QfTzTYSE3mbTMWIkV7xIbBCggDhI2RkE5Nkz4PJFN4Th7U27igqTTMf6IGsYUvgnQFBwKF6+CnWQqOuczg4UBUS3NnMjwsik2H4oII60H1fdB8SSyUfFm2LRpL749ONsurggnf48pVrg710LtM8xEi5avRWyGeK88b3sPtfyBNk9vk6rgWjZsDIqfVXE9PW+Q3+jY//JeBkQqD4r8MmH6N6mDnJlf1/9e8/Bk5gyfx2u37yLwFfBKJI/J4b1/lbJCI/4Q4AC4mBZxbWAvHoFnD/rjlA7ltd18JEjnS57hnyS2wvBIRQQczjsQFFAdNsaBYQColtXuBFhZFLOsAzv/YfAg4fhU5KzfxB7LwPjq4CMmbES81dsUbxG9msVQUD2Hz6Fe/cf44sieRAYGITB4xdCRkSmj+hikqf2zaujdaMqCAh8hZrfDkDNSl+ied0Kus2I6ZyAAAXEwUKIawG5dNENz57F3o9dVLg+zOqJpMkoIBQQ2w2KU7D0OlC2Sbp2Cgq89fKlgOi1n9gcAdm+6zVWrvt39D/jO27o0cETPjHwQv7xk+do02c8zl+6oR78o+zvoU+HBsieJWP4v81GQPb/dQrjZ63Gxau3kCqFP6qXL4ZvG1SKBMzWCMihY2cweNxC3Lr7UJ1bougn6Ne5kZoKZTkCsmzdDiz5cRvuPXiCTBnSoH2z6ihe9BObP07yXIFBQajfdgi6tqwdQUAsT964bS96D5uFYzvmIigoBAXKt8IPvVqo55Oj7/DZ8PDwwJCezW3elwmchwAFxMGyiEsBefEcuHAhduM+osKVLIknsmYLRWAwp2AZjNiBsl5bKCB6HSgHf5ri/elsPxQQ3UoclyMgLwOAjr2DI2W1cjl3VC3vofsIUaZ78uwF1m3ZjXy5siJBAi/MW75ZCcaa2YMiCIiIyadlW6JVo8qoWKowLl+7g/2H/0a/To3sFpCTZy7h3MXryJE1kxphGDB6vpKKrq1qRxCQIyfPoWH7oRg3sC0yZ0qPIyfPIyQkFPWrl9J+7rL1eqBD8xrRCojIhwiY8czjZq7C3OWb0axueZXHEZOXYtbo7uq/ecQfAhQQB8sqLgXk4nk3PH8R96MfgjCxjxdSpwmBbxIKCAUk+kZFAaGA6PzsUkAoIDr1RNLEpYCcOReG0VNCImU1WxY39OzoqfsI0aaTWInjpy/g8tVbOPHPJSUkRvyGMQIiIyKFKrZBxxZfo1HNr+CTKGGU17Q1AiIn3nvwGIdPnMPd+4+w7fdDSJLYB1OHdY4gIBKr8U330ZgxspuKw/CU5THtPGwJiDH6MWdMDxTJ/5G6ukzR6jF4Oj7OmUXFo3xWIBdGf98mymB1O7PE5LFEgALiIOi4EhBnGv0wBAQIRaYsIXB3jkEZB0vW8dPZgbLOkAJCAdFpXWw/FBCdehLXAnL1RhgGj4osIEULuqN5A/s75JbPLG/+m3UZgcR+PioY+1VQMKRTbikgEoQu06GGTlysLpE3V1Z0/ramWiHL8rAlIFt2HkD3wdORL3c25Mj6Ls5evI6E3l5KNMynYAUHh2D4lGVYuX6nukXZ4gXRtVUtZEiXSrfoEJ2ASLB5yx5jMKBrE9SuUkJdU0aEilZup4LgZSWuqzfuoH3fifjg/QxqJIZH/CFAAXGwrOJKQG7dcoPs++Esh4yASBB6hndD4OPrLLmK23ywA0UB0a2BDEKPTIrthwLiSPuJzRiQUZNCcPZCxA24erT3RPasjv+NHjl1OU6fu4K5Y3vCw8Mdx05dUHET1gREeAW+CsKZC9ewcNVWHDx6Grt+nKjOMz9sCUiVJn1RrmQhtG1SVZ02b8Vm/HnkdCQBMa755OkLNUIjU6Oyf/AuRvRtqVt0UQrI1l1/ouvAaRFiPeSiuw+cQOteY7Fn/RQk9fdT9xEpmjxvHQ5umaF9XyaMewIUEAfLIK4E5Mw/bnj1yvEfNwcf33S6ISCJk4YiXbpY2AkxpjL+Fq/DDhQFRLd6UUAoILp1hUHokUnF5RQsyY3Egew58Bpnzr9GyuRuyJvbPUbkQ649df46/Lb3aPgKUCGhmLrgJ6tTsNKnSYH1W/egTtUS8E/shxXrd6qA9L0bpqi9NOwREInryJo5A7q2rIXrt+5h4JgFSJbUL5KA7D5wHE+fv0TJz/LBw90N342cCz8/H3zfpbHN6iwSFPY6DJUa90HrxlVQqXQRUz7lOSSwvHf7+ij5eT7TtZL5++HRk+coU7e7kiNZvjfgVRDa9h6vRoiEEY/4Q4AC4mBZxYWABAYCZ8841zwnQ0DcPEKRNRsFRKoVBYQCovvzQgGhgOjWFQqI8wmIbtm9STpZiapDv4lqFESOYoVyq1EA8xGQxZP7ImP61GjSaTiuXL+j0klAtgR3f1kkT6Tb2hoBkalPvYfOxMPHz1QsicSXGB38xWu24bc9R9QUKFl1q8N3k0z7dUgsxsBuTZE+bUqbjyqjGzLKYX5sWjQc77+bDoPHLzJN6zL/3lj5Ss5bvGa7GumRo8yX+dGhRQ2kTZXc5n2ZwHkIUEAcLIu4EJAnT4Arl51TQF4FhSLXx2Fwc57BGQdL+M1Pp4BQQHRrDwWEAqJbVygg/y0BMZ725u37SOqfGD6JvKOtKjIiERoaimT+iXWrlNV0Iim37jxA2tQp4OUZdSxLWFgYHjx6qkTFyNuz5y/Vvh1WDzfEWLC4BMonSewL7wReDj0rT44bAhQQB7nHhYA8fABcv+64gBw67I4zZ6H2EUmRAiiQLwzvvfdmOxoaIyCBQa+R86PX8IyZxT8cLJ24PZ0CQgHRrYEUEAqIbl2hgPw3BUS3fjhDOpmydf32PatZ8fL05FQpZygkJ8gDBcTBQogLAblzG7hzxzEBOXPWDb/9HvEa3gmA+vVCIf9v72EuIFmzvUaiGNiAyd48OFt6CggFRLdOUkAoILp1hQJCAdGtK0xHAs5MgALiYOnEhYBcu+qGR48cm+O0d587jp+MfI0qFV8jfXr7YzjMBeT9zK+R2LHRXwdLxTlOp4BQQHRrIgWEAqJbVyggFBDdusJ0JODMBCggDpZOXAjIjetuePDAeQUk03uv4e/vIFgXOJ0CQgHRrcYUEAqIbl2hgFBAdOsK05GAMxNwGQGRgKeHj5+qZdz8E9u/EYWcf/fBI6RM7m/Xbp5xISCcguXMTerfvFFAKCC6NZUCQgHRrSsUEAqIbl1hOhJwZgIuISD7Dv2Njv0nm5aCk91Cu7epg1zZ31fsZSMf2ajG/JBdQpdM6ac++n3fMbXr58uAQPXvAd2aonbl4lrlFhcCEqNB6GeAZ88ZhK5V2HYmooBQQHSrDAWEAqJbVyggFBDdusJ0JODMBFxCQPYfPoV79x/jiyJ5EBgYhMHjF6ol4IxNaUZMWYZrN++iZ9t6prLw9vZSa0YHBAbhi+od0b55dTSoURq79h5Fp/6TsXX5aGRIl8pm2cWFgDj3Mryvkevj11yGl/uARNl20iVPhNuPAhBmf6iRzfYYXxNQQCggunWXAkIB0a0rTEcCzkzAJQTEEvDGbXvRe9gsHNsxV02nEgF5/PQ5RvRtGaksZPSjbZ/xOLJtNhL8/1rSFRr2UjLSoMZX6lzZhKd6+WLq3L+On8XspRvVjqByxIWABAcDp/92gzP18o0gdHfPUHyQlT1LqRscAeEIiO6PPwWEAqJbVyggFBDdusJ0JODMBFxSQEQ+zl+6gTWzByn2IhHbfj+Iwvlyqs15Sn6eD59+nE19t2rjLixYuQWbl4w0lZPsOvpexnTo1ro22vQej3y5s+LbBpXU9zJC0n/UXOz+aXKcCYjc+NxZNwQEOBaIHpMV0xAQ/2QhSJM2Jq8cf69FAaGA6NZeCggFRLeuUEAoIOYEtu46iPx5siNFsiS6VcihdJeu3sLdB49RKG8Oh64jJz9/EYBHT54hedIk8PVJGOF6jsb1Opw5XuCtE3A5ATFGP+aM6YEi+T9SAOWzy9dvq90yT565hB27D2PcwLYoW7wg5iz7Gb/89qdJViS9xIP4+STCwO5NbQrIy1chb72QrN3g5g3gzl3nERAvD3c17S1L1tfwtX8NgDhh+LZv6uHmBk9Pd7wKDn3bt4pX10+UwBMBQXHTbpwVVAJPd8jGwSGhb7YRqLM+lyP5YvuxTk/aT2BQCDjO/C8fa+3Hx/u/sRvuR8WbYtGkvqaXqjptTnY5z1OqBf7etUAneYQ0Ek8rL2Lnje9l97nGCRJv26DdDzh78brpGvWrl0Lv9g3g4eEOW3G9b3xjnuhUBFxKQPYcPImWPcZgQNcmqF2lRJSgZYTk8ZNnahqVoyMgj18Ex0mBvngRPgriLEfCBB5wc3+N7DnYgTLKxMvDDd5eHngeyM62eT1N6uuFJy+C2YEyg+KTwAMhYWEICmb7YfuJ/lddRsuesv1EgGSt/cjvTGweLwOA0ZNDUPpLd3xWyLGNgu3Jd3wUEBn5WLDyF1Qt9xnSp0mJvYdOonWvcVg8uS/y5c4GW3G99vBhWucl4DICsnXXn+g6cBp+6NXCFK8RFfYJs9eoWA6p7EYMyNHtc9QSvnKUrdcDjWuVUTEgzjoFS/J56aIbnj1zDgmRKVip04TANwnf9hv1jlOwrLdABqFH5sIpWJGZsP1Ybz+cgqXXftKnSBRrPS9DPq7dCB+XalbfI8Yk5PGT52jTZ7yaVi7HR9nfQ58ODVRsqvq32QjI/r9OYfys1bh49RZSpfBXfSFj+rg5DFsjIIeOncHgcQtx6+5DdVqJop+gX+dGaosDyxGQZet2YMmP23DvwRNkypAG7ZtVR/Gin9jF/sLlG6jStB/Wzx+KD95/J9K5lnG9dl2ciZ2WgEsIyPqte9B3+Gz0bl9fxXcYRzJ/P/gkSqgaZJUyRfFuhrQ4c+EqmnUeiW/qV0SrRpXxMuAVCpRvhV7t6qG+lVWwREAePnqK77o0hp9PQoyfvRpHTpyL8xgQecaAAODcGecIRk+R1AsfZA1BQBAFhAIS/e8dBUSvA+W0fzViKWMUEAqIblWzJvCxJSCW8mHkOaYk5MmzF1i3ZTfy5cqqFsqZt3yzEgwjxtUQEBGTT8u2VP2aiqUK4/K1O9h/+G/069QoEkZbAiJT1c9dvI4cWTMhIPAVBoyer6Sia6vaEQTkyMlzaNh+qJrSnjlTehw5eR4hIaGQ6VQ6x/Vb97Bqw2/4dfdfqFCysFqN1NphGderAnNONwAAIABJREFUc22mcX4CLiEgg8cvwsr1OyPRNkZD6rQapGI/jKNauc/Rv0tjJPROoD7auecIJPDcOL7r3Aj1qoU3IBGQew8e4/S5K+rfsn/Ileu3nUJAJD9Xr7jh8eO4HwXJndMTvn6hePmKAkIBoYDY+9PPEZDIxCggFBDddhSXAjJoVAiMkQ/L/LZr4Ym8Hzv+91m2Czh++gIuX72FE/9cUkJixG8YAiIjIoUqtkHHFl+jUc2v1MvXqA5bAiLnSb/n8IlzuHv/Ebb9fghJEvtg6rDOEQREYjW+6T5aTWcvkj+nXZs4yz2kXzVz8Ub8dfwMvizyiZo+b8xEMfJuLa5Xt14wnXMTcAkB0UH87PlLtdpCqhTJkChhuHiYH6Ghr3H73kOkTpE0QgMwpmA1rlUWksYnkXeE8+JiGV7zDISEAGfPuEP+P66OxInDkPdjLwQFU0DMy4AdKOs1kiMgkblQQCggur/fnIKl135iawRkz4HXmL8s8ou3DOnd0LOjJ3wcnAkmU6+adRmBxH4+kE2WXwUFq4V1LAVEVvaU6VBDJy5WgORlaedva6oVsiwPWwKyZecBtRiPxGPkyPquChZP6O2lRMN8ClZwcAiGT1lmegEsC/t0bVVLaw818zzJKE/p2t3Qv0sjVCnzmekr3bhe3bbDdM5F4D8jIG+K3TIGxPI6cS0gkp8Xz91w8QIQBsfftNjLyds7TO37kcI/AQXEAh4FhAKi254oIBQQ3bpCAXEuAZHcWEpITMmHXHvk1OVqpGDu2J5qhahjpy6gftshVgVE0ge+CsKZC9ewcNVWHDx6Grt+nKjOMz9sCUiVJn1RrmQhtG1SVZ02b8Vm/HnkdCQBMa755OkLNUIzbuYqZP/gXat7rtmq37L/mnnMij1xvbauze+dkwAFxEa5iIGnTO5vCvhyRgGRPD18AFy/Hnsrb8g9Pdxl2d0wJEwIJPWjgFjWDQoIBUT3Z58CQgHRrSsUEOcTEHMJiUn5kOtOnb8Ov+09iukjuqj4iqkLfrI6BSt9mhSQeNg6VUvAP7EfVqzfqeJf926YEmlaky0BkbiOrJkzoGvLWpA4jYFjFiBZUr9IArL7wHE8ff4SJT/LBw93N3w3ci78/HzwfZfG0VZniR05fe4qShf7FEmT+OLnHfvVucZywrbienXbCtM5NwEKiIPl4wwjIMYj3LjuhgcPYmcURO7yXuYwyPQrOSgg7EDpNiVOwdLrQOnydNV0FHjrJUsB0Ws/sTUFyzw3R46HIXtWN4enXZlfU1aikhhVIw61WKHc2H3gRIQREFnRM2P61GjSaTiuXL+jTpcA8g7Na+DLInkiAbMlIPLitffQmXj4+JmKJZH4EpkCJhK0eM02/LbniNoHRFbd6vDdJMi+HnJ8ViAXBnZrivRpU0b7s3Ti9EW07TNeXd84ZCEgmeouh624Xlf9zfuvPRcFxMESdyYBkUd58gS4dsUNr8PenojItKv3M4chgVkoDQWEAqLblCggeh0oXZ6umo4CQgHRrdtxGYSum0dH0928fR9J/RNHikO1vK6MSISGhiKZf2KHbimScuvOA6RNnQJenh5RXissLAwPHj1VomLEyErMrWxMbPVwg1rOV857/PS52g3d1j0cehCe7LQEKCAOFo2zCYg8TsBL4MoVdwQFOfhwVk6XEY93M4XBw+L3iAJCAdGtbRQQCohOXaGAUEB06omk+S8IiC4LZ0gnU7au375nNStenp5qJIUHCVBAHKwDzigg8kivX0NNx7p/zw3BMbBZu48PkDp1GJL4W3+rQQGhgOg2JQoIBUSnrlBAKCA69YQCokuJ6UjAuQhQQBwsD2cVEOOxwsKAR4/ccO+OG169wYiIjHikSg34+UUxnPr/N6KAUEB0mxIFhAKiU1coIBQQnXpCAdGlxHQk4FwEKCAOloezC4j544UEA4+fuOHZUyAkxA2hoTD9z9NTVrUCPDyBBN5h8E8CJE4SBnfNhbUoIBErkue+rfC6cBw+bb/Dg9v3kXDGIATVao3XGT9wsMbF/9MpIBQQnVpMAaGA6NQTCoguJaYjAeciQAFxsDzik4A4+KjRnk4B+RePx9E98J45UH3g8UU5BF86B/drF4BEfnj5wyLAx7HgwLdZjrFxbQoIBUSnnlFAKCA69YQCokuJ6UjAuQhQQBwsDwpIOEAKiFlFevkMCcf3gPv1CxFqV1Dj7ggpEr7M4H/5oIBQQHTqPwWEAqJTTyggupSYjgSciwAFxMHyoIBQQKxVIbf7t5GofyPTV6+z5kFg1zEO1jbXOJ0CQgHRqckUEAqITj2hgOhSYjoScC4CFBAHy4MCQgGJVIVkBGRCj/BpV2ZHSJEyCGrcw8EaF/9Pp4BQQHRqMQWEAqJTTyggupSYjgSciwAFxMHyoIBQQCyrkPu18/Ae3x1uAS/g1bADXu3arKZjvc6QBYFdRjMGJHki3H4UAFmhjUc4AWv7GPzX2VBAKCC6beC/vA/I1l0HkT9PdqRIlkQXl0PpLl29hbsPHqNQ3hwOXcf8ZNnIUI7YeoYYyzgv5BABCohD+AAKCAXEWhUSCUlw6xJ8S1dSq2AlWD1DrYL1Xw9AF1YcAYlcYyggkZlQQCggun+e/8sC8lHxplg0qS8+/TibLi7ILud5SrXA37sWaJ9jJFy0eit27T2KeeN72X2u+QmyU/rc5T9Drvfw8TO1k/rBLTMiXfP3fcfQts94TBveBV8WyePQPXmycxGggDhYHhQQCkhUVYgdKOtkKCAUEJ2fXbYfCohOPZE0cSkgL14C129EHs6VzXszvuOm+whvnC6+CsjYGavw0y+70bpxVZQvWQhBwcFImyp5BA5nLlxDw/ZD8TIgkALyxjXEeU+kgDhYNhQQCggFxL5GRAGhgOjUGAoIBUSnnsS1gJw+G4axU0MiZTVHNjd0a+ep+whRpnv85Dna9BmP85duqDQfZX8PfTo0QPYsGcP/bTYCsv+vUxg/azUuXr2FVCn8Ub18MXzboFKka9saATl07AwGj1uIW3cfqnNLFP0E/To3gn9iXzViYT4CsmzdDiz5cRvuPXiCTBnSoH2z6ihe9JNon/veg8co/nVn/NCrhcqjtUPS1Gk9CF1b1sagcQsx5vs2HAFxuDY51wUoIA6WBwWEAkIBsa8RUUAoIDo1hgJCAdGpJ64uIE+evcC6LbuRL1dWJEjghXnLNyvBWDN7UAQBETH5tGxLtGpUGRVLFcbla3ew//Df6Nfp39UYDZ62BOTkmUs4d/E6cmTNhIDAVxgwer6Siq6takcQkCMnz6kRinED2yJzpvQ4cvI8QkJCUb96qWiLbsfuw+jYfxLqVi2Jsxevw9vbC1XKFEWVMp+p8wICg9C003AUK/Qx2jevjgLlW1NAdBtDPEpHAXGwsCggFBAKiH2NiAJCAdGpMRQQCohOPXF1ATE65MdPX8Dlq7dw4p9LSkiM+A1jBERGRApVbIOOLb5Go5pfqZiKqA5bAiLnyQjE4RPncPf+I2z7/RCSJPbB1GGdIwjIvkN/45vuozFjZDcUyZ8Tnh4eWkW2dO2vGDZpiZKL7Jkz4szFa5gybx1G9W+N8iUKofvg6eo6Murh7u5GAdGiGv8SUUAcLDMKCAWEAmJfI6KAUEB0agwFhAKiU09cXUBk6lWzLiOQ2M8HBT75EK+CgrFx295IAiJB6DIdaujExQpb3lxZ0fnbmmqFLMvDloBs2XlASUC+3NmQI+u7apQiobeXEg3zKVjBwSEYPmUZVq7fqW5RtnhBdG1VCxnSpYq26ERA5JwNC4eZ0vUeNguBgUHo27EhStTsjJqVvoTv/0vUwtVb1QiMjJCULV5At1ownZMToIA4WEAUEAoIBcS+RkQBoYDo1BgKCAVEp564uoCMnLocp89dwdyxPeHh4Y5jpy6gftshVgVEWAS+CoIEby9ctRUHj57Grh8nqvPMD1sCUqVJX5QrWQhtm1RVp81bsRl/HjkdSUCMaz55+gIyQjNu5ipk/+BdjOjbMtqiM1a2OvrrXHh5ho+aiPDIdK/R/VtjyY/bI5w/cc6PqPRVEVQqXURNy+LhGgQoIA6WIwWEAkIBsa8RUUAoIDo1hgJCAdGpJ3EtIFeuhWHVT6GRsvpuRjfUqaY3JSm655w6fx1+23sU00d0UfEVUxf8ZHUKVvo0KbB+6x7UqVoC/on9sGL9ThWQvnfDFHh5RQyGtyUgEteRNXMGdG1ZC9dv3cPAMQuQLKlfJAHZfeA4nj5/iZKf5YOHuxu+GzkXfn4++L5L42iLTs4pVasrmtQqizZNqkJiTkSqJF7FWvwIY0B0W0L8SkcBcbC8KCAUEEcExPPQb3C7dzPSJULzF8frVO84WDud83QKCAVEp2ZSQCggOvUkrgVEN49vmk5WourQb6IaBZGjWKHc2H3gRIQRkMWT+yJj+tRo0mk4rly/o9JJAHmH5jWsrhxlS0D2HDyJ3kNnmvbnkPgSmQImErR4zTb8tueI2gdEVt3q8N0ktUyuHJ8VyIWB3ZoifdqUNh9X4kc69p9sOlfEo1f7+lbjSCggNnHGywQUEAeLjQJCAXFEQLyn9oPHyT8jXeJVu6EIzVXQwdrpnKdTQCggOjWTAkIB0aknri4gBoObt+8jqX9i+CTyjhaLjC6EhoYimX9iXXxW04mk3LrzAGlTpzBNk7KWMCwsDLKTuQS9G3l79vwlZKNBq4cb1HK+csg97tx7hGT+ftEGzTv0IDzZaQlQQBwsGgoIBYQCYl8jooBQQHRqDAWEAqJTT/4rAqLLwhnSyZSt67fvWc2Kl6enGknhQQIUEAfrAAWEAkIBsa8RUUAoIDo1hgJCAdGpJxQQXUpMRwLORYAC4mB5UEAoIBQQ+xoRBYQColNjKCAUEJ16QgHRpcR0JOBcBCggDpYHBYQCQgGxrxFRQCggOjWGAkIB0aknFBBdSkxHAs5FgALiYHlQQCggjgiI54EdcLtzLdIlQguXxuvUGRysnc55OgWEAqJTMykgFBCdekIB0aXEdCTgXAQoIA6WBwWEAuKIgDhY/eLl6RQQCohOxaWAUEB06gkFRJcS05GAcxGggDhYHhQQCggFxL5GRAGhgOjUGAoIBUSnnlBAdCkxHQk4FwEKiIPlQQGhgFBA7GtEFBAKiE6NoYBQQHTqCQVElxLTkYBzEaCAOFgeFBAKCAXEvkZEAaGA6NQYCggFRKeeuLqAPHn6AnsPnUT5koV0cdhMFxAYhEePn6pNBt3d3Wymf9MEW3f9iYJ5czi8KaJxf9m48N6DJ0ieNDG8E3i9abasnmeLiWysePfBI6RM7m91t3bZfFHy9yYbQAYFBePRk+dInTIp3Nz0ykPu5enhYTcDW89h7YJyL3c39xivKxQQu4sv4gkUEAoIBcS+RkQBoYDo1BgKCAVEp564uoCcOH0RddsMxsnf5mt3TqPj1qHfROzcc0QlkY58tXLF0K11bfXvh4+foVi1DpFOnzuuJwrnyxnp85mLNyoRaFqnnNVbflS8KZZM6Ye8ubLqFmWU6WYv3YQJs9eYvi9bvAAGdG0K/yThu6pXadIXF67cjHB+u6bV0LZpNZv3jo6JnPz7vmPoPng6XgYEqmsN6NYUtSsXV/8tn/X6YaaJ6cc5s2DyDx2VqNg6ZBf56Ys2YOr8dabymDKsM/LkzBLtqVdv3EX5Bj2xfcUYpE+b0tZtTN9H9xxRXUTErE6rgWjZsDIqfVVE+146CSkgOpSiSUMBCYeT1C8BgoJD8fJVqINEXed0dqCslyUFJDIXf18vBIeG4WVgiOs0AAefhO3HOsC0yRPh7qMAvA5zELALnW6t/aRPkSjWnjD08jl1L4/3siLsxTO82rwaCWs1j5H7x7SATJm3DmWKF8C776TG/r9OoV3fCVgx/XvkzpEZDx49xRfVO2LGyG7qe+NInTIZEiVMEOl5YlNAVm/ahYzpUyNPzg9w7eZdtOg6Ei3qVTTJjwhIxdJFUK5EQVM+/RP7Iqm/n81yiI6JdMCFSfvm1dGgRmns2nsUnfpPxtblo5EhXSrMWfYzVm/chcWT+ylGbXqPx/vvpsOQnrbL/8jJc2jYfigWT+6L3B9mxqS5a/Hzjn34deW4KEcb6rUdguOnLqhnskdAbD2HNUhjZqzE/BVb1Fcj+7WigNisSbGcgAJCAYmqyrEDRQHR/TmigEQmxfZDAXGk/cSWgIh8PB8YPmrg22MYAhZOQujl80hQvDx82vbTfYQo0xkCIh1g6eg+ex6AVo0q45v6FdU5I6Ysg4e7Oy5cuYHdB06gSP6P0Ltdfcxetgk7/3cEBfN+iI4tvkb2LBmt3qNkrS6oW7WkesNtCMimRcNVJ9rWoSMgjWqWwYHDp3D24nVULlNUjVpIR33jtr34ff8xJPbzwabt+5AudXIM7N4U+w79jRXrd6oRhPbNaqBUsXxWs9F/1DzcuHUP88b3Ut+LgMhITI0KX9jKts3vzZnIqEHbPuNxZNtsJPj/aV8VGvZSMtKgxleo+e0AyGjMtw0qqevKtLOuA6dpjViNnbEKp89fwZwxPdS5d+8/RomanbFm9iDkyJrJaj4lze27DyAiYo+A2HoOazd7/OQ5AoOCUL/tEHRtWZsCYrPmxHICCggFhAJiX6PjCEhkXhQQCohuK+IIiF77iU0BeTawPfDyRYSMJfiyPHzaxZyAVCxVWHXgZdRiwapfTG/g5Y37oWNn0LVVLbyfMR0GjJmP67fuqQ6xyMii1VtVJ39E35aRwF25fgfSmZ42vAu+LJLHJCAlP8sL/yR+yJY5A6qW+xwykmDt0BGQXNnfR/N6FXD/4RM1her7Lo3VcyxY+QtGT1+BFvUq4LOCubF07Xbs2H0YZYsXxNcVv8Bfx88o4fpj3aRIU8+CQ0JRtl53VCxVxDR9TATE1zcRsmRKj/RpUqjO8rvvpNFtVqZ0lkxWbdyFBSu3YPOSkaY0MmXrvYzp1L0LlG+NH3q1UBIix6mzl1Gr5UDs3Tg1Sm7GhWRaVzJ/P/Tr1Mh0bZm2ZpRHVJm/c+8RRJLsERBbzxEdqLL1eqBD8xoUELtr01s+gQJCATGqmPvZo/A4e1z9MyxFWnh8UQ5+ibzw4Omrt1wL49flKSB6Haj4Vaoxn1uOgFhnSgHRaz+xJSCSm5C/D+P5oI6mjHnl/xy+PUfESKOwNgVLpEEEo3r5YmrKT77cWU1v4KWTf+7SdUwd1lnd/7e9R/D9qHnY/dPkCPl58TIQDdv/AD9fHyyY0BseHu54/iIAE+esgUy5kqDqdVt2q5GIlTMGmN7+m19ER0DMY0CGTVoCue/Q3t8oAfnfwROmt/97Dp5Eyx5j8PeuBeoWEnxftEo71fHPlCGiSIhkbd5xAD8vHqECt+WQOAp3D3eEhQE7/3cYIhI/zhlkl4RYYyJTrH757U81KmEuDn4+iTCgWxPkKtEsgjBcuHwDVZr2w68rxyJdmhTR1gF53uxZ3jVJlCQWoZGRIBHOmBSQ6J5D7kcBiZHmGrsXoYBQQISAx9E98J45MELlCytdAz7NOlNALJokBUSvAxW7v2TOdzcKCAVEt1bGZQyIxHw8H9RBTbsyDjcfP/gNnKxiQhw9rAlI14FT1WpL/bs0jiQgs5ZsxLFTF0wCsv/wKbToOsrUsZf8SDxAp/6TcPvuQyya1DfKOIlLV2+hUuM+WD6tPyS42vKwV0BkapXEFEj8hKWAHD5xFo06DDPl81VQMPKV+RZr5w6JMH1s2oKfMHXBT1gxYwByf/i+VbzBwSEoW78HGn1dBs3qltcqgqiY2Bo5EGEQoSrzZX51H3tHQGQhgL4dG5ryyBEQreJiIiFAAaGACIGE47vB/f9HP8xbRqKlf1BAKCA2fyw5BSsyIgoIBcRmw/n/BHEpIIGr5iJwzXyVExn5CD51RE3Hck+ZBkmm/aj7CFGmsyYgMiVGpka1bVI1koDIalFH/z4fpYA8ff4SHb+bhICAV5g5qlu0QdoyIlCwQmsVZ1Eobw6HBWTQuIU4f+mGCrqOLCDn0KjD0CgFRJaPHTtjJUQIFk7sjZzZ3ouWbZ1Wg/Bl0U8UI1tHdEyM2Imj2+fAy8tTXUr4N65VxhQDIoHvRkyOvTEgZy5cxazR3dV1dWJAJN2bTMGy9RzRMeIULBs1SCrnw8dPVQWJar6izEH09UlkdTWHN1kbmQLyb6H811fBSji0Ndyvh69MQQGJvrFyBCQyHwoIBcRWJ8n4nlOw9NpPbE7Bejl1qMqUxHxIUPqLUb3VFKyYHAHZsnSUmm60cfteDByzACtnDoDEV1hOwYpOQF4GvELd1oPUfhXjB7WHn2/4SmHu7u4qCFw6qYGvXqHwpx/By9MDE2b/qKZh/bpqrNV+lc4IiMSeVChVGH8eOY2eP8xQU8Ua1yprt4B8N3Kuyous0JU5078B8mlSJcPN2/fVMrgiAimS+WPrb3+i19CZanTn04+zRdu0bDGR7wuUb4Ve7eqhvpVVsIT3mk2/q1WwfBJ5o3WvcW+wClY/tQqZTH/bvGO/aRWsg0f/wcipyzF2QFvTNDSJf5Eg9HL1e6rpabIMr5SVrcPWc8iUu2ZdZGWxCqY9Z6SehL0OU6NgrRtXQaXSRUwSZut+Ot+7xDK8smpCx/6TTWs0F/jkQ3RvU0c1Tjmu3rijKoXMCZRDVkn4vmsTU6G9ydrIBlyOgIST+K8LiPf07+FxfF+ENhfm4wuf2Vs4AmLxS0QB0etA6fyAu3IajoBYL10KiF77iU0BeZvt8MQ/l5Q0+CRKaOrjSGdYOvFyiIBIJ9t4A28pIAeOnEb7vhNxcMsM05tzy/zKNCCJEdn+xyH0HT7HdB/5fHT/Nij8aeQ9QOQaOgJinm8JDB/So7mKJ5FA+r0HT5re/h8+EXEERDbny2s2BUvewktwveUhnXDZu69p5xHq+YzDnFF05WOMJkTFRD4XuZHAc+P4rnMj1KtWSv1TRokkmPyP/cfUv6XfOXloJ1NsSnT3ln1ApsxfhxmLNqhkwmrW6G6mfVMkfkfKznwamkz5MvYjkXOMstOpg9E9hxFzY/5sspqXjOiYH7orpOnkxyUEROY43rv/GF8UyYPAwCAMHr8QMqIxfUQXxUACfcT0h/b+Vplj7VaDTCsxvMnayOZgKSDhNP7rAiIB6N4zBsIt4N+VUF436wnf0pUoIBa/RBSQyD/NHAGJzIQCYv1POAVEr/24ioAYTytvvu/ce6je8Fvbk0Onw6eTRt56P3j4VCW1Z2fuqK4tnew79x8hYYIEWnty6OTRWhq5j2ykKJ1zCf42dgmXPp7ITFSHr29CrR3FQ0Nf4/a9h0idIqnVUYAnz15AYk+MDQglP0+fvYzyvp6eHvD1Sai+D3wVhIePHNuZXkYwpN9r9XCDaQTL1nO8Kf83Oc8lBMTywWV96d7DZuHYjrnKTotWbhdhN86hExer4CuxVFtrI8sa27J+tqw2Icdfx89i9tKNahhQDgoIBcRU/14+U9Ow3F6+wOsMWZAgXXqugmXlV4kCoteBepMfdFc6hwJCAdGtz3EZA6KbR6aLGwIS+P7r7r+ivHn/zo0jrbIVEzkVIegycGqUl/ok5wdqc8OYOmRa3vXbkUeI5Ppenp6mF/Ixdb+YuI5LCojIhwQ6ybJpxpJou36cgFQpwpdrW7xmG9Zv3aO+t7XCgeX8StkFs/+ouaYl7SggFJCoGiI7UNbJUEAoIDp/vNh+KCA69UTSUEB0STEdCTgPAZcTEGP0Q3aWlE14jK3uzTeFEemYsWg9dq4eD1trI9sSkBeBIc5TmnGYE+kshL4OQ0hoFEOAcZi3uLq1h7sbvDzdERgUGldZcMr7+nh74uUrthvzwkng6Q4ZPQ8Jfe2UZRYXmWL7sU5d2k/AqxDwl/ZfPtbaj2/C8BWLeJAACTgnAZcSEGMjmwFdm6B2lRKKuDEC8vvaiaa5eTE5AvLkRdRzC52zyN9OrhJ5e0LmFgaFsANlEPb0cIO3lwcoqRHrnLytfPoyWG0YxSOcQCJvDyXwQcFsP2w/0beKJL5eeMb2EwGStfYjvzM8SIAEnJeAywiIsfbyD71amOI1BLsEBlnGgAwZvwh37z+KEAMS1RrPtkZAOAUrvHL/14PQrTVxTiGx/sPHKViRuTAIPTITth/r7YdB6Hrtx9WC0J23G8mckcCbEXAJAZF4jr7DZ6N3+/oo+Xk+E4lk/n5qWbNvuo9GEj9ftVul5SpYttZGFgGR1Qm+69IYfj4JMX72ahw5cY4xIBb1jQLCDpTuTxAFRK8DpcvTVdNRQCggunWbMSC6pJiOBJyHgEsIyODxi7By/c5IVI3RkEtXb6l9QIw1pKuV+xwDuzU1LaUW3drIIiD3HjzG6XNX1PXz5sqKK9dvU0AoIDZbsbUOlNemReq8kMJlEJYyrc1ruGICCggFRKdeU0AoIDr1RNJQQHRJMR0JOA8BlxAQXZyy4YzsB2KsvWx+XlRrIxtTsGTTH0kjO12aH5yCFU6DIyCRa6G1DpRPm69UwsAuo/E62ye6Vdel0lFAKCA6FZoCQgHRqScUEF1KTEcCzkXgPyUgb4LeMgbE8hoUEApIVPWKAmKdDAWEAqLzW0wBoYDo1BNXFxDZoXrvoZMoX7KQLg6b6WRzvkePHdv4zuZNALWLdsG8OZDMP7FOcptpZJPEew+eqN2/vRPE7CIDtpjIJn93HzxSixkZmxyaZ1j2/ZD82fussmHhoyfP8fxFANKkSmb3c9nKlzWokk93N3e4u7vZZP42E1BAbNCVlbWkwslmhNYOCggFxJaAPF02G14/L7aa7HW2jxHYZezbbONOd20KCAVEp1JSQCggOvXE1QXkxOmLqNtmME7+Nh9ubo53GDv0mwiZdi6HdOSrlSuGbq1rq3/LTuLFqnWIhH3uuJ4onC9npM9nLt6oOsxN65SzWlQfFW8aYRNo3fK0lm720k2YMHuN6auyxQtgQNem8E+6Cf/eAAAgAElEQVTiqz6r0qQvLly5GeHUdk2roW3TajZvGx0TOVk2rO4+eLraZV2OAd2aonbl4uq/5bNeP8w0Mf04ZxZM/qGjadXV6G5+/NQFtOs7QXGXQ2KW+3ZsEGEhpejOjy5fUZ0nolWn1UC0bFgZlb4qYpPN20xAAXGQLgUkHCCnYEWuSEYHigISkQ0FJHJd4SpYUbefB09fOfgr7VqncxUsvfYT26tgBa6ai8A188P/Hq76X4xVupgWkCnz1qFM8QJ4953U2P/XKdUBXjH9e+TOkRkPHj3FF9U7YsbIbup740idMhkSJUwQ6ZliU0BWb9qFjOlTI0/OD3Dt5l206DoSLepVNMmPCEjF0kVQrkRBUz79E/siqb+fzbKIjol02IWJ7FreoEZpyGbUnfpPxtbl/8feeYBHVXRv/E0ljWbogoIIKooKCgKKICi9K0gNTXqRDlIkSO+9SYuASFP0A0VAKaIoRYoUBURA6R0SEtLI95zBXZPsbnZudpNslnee5//8v7Dn3jv3nXPW+e3MmTMRBfPnVrXk1qzfjmUzhyiNZNdMkcfyY+SAdnafe+jYKZz865w6PClrUICqTzdv6f+wf/MCuysh9vpl7eGT5q3CkpUb1Ufjh3QigNgdIRc3IIAQQGy5qAlAbu7bDa8Tvykz00qISkIPzqv+L658dRf3cud2jwCiN4FyruqZ725cAbE+ZgQQvfhxNwCRCbBMdMMjotCpVV2817y2EmLcrBXw8vTEqbPnsXP3YVWAeVC35liwYgO2/ngAZUs9jZ7t37a5i6NK495oWr+K+kXcBCAblo5Vk2h7TQdAWr1TDbv3H8OJv86hbrUKatVCJupSNHrHL4fUxHvDlp+RP88jCO3XBj/vO4qVX21VKwjd2zZC1Yr/nWyauD/DJizG+YtXsXjqQPXPAiCyEtOo1uv2um3388SayCpD1w+m4sDmBfD9d9tXrZYDFYy0aPQW3ukwHLIa06FFHXVfU0mI1KxYSZHsmYs+x9a10+Dj7ZViP+31y9rFt25H4F5MDJp3HYk+HZsQQOx6gosbEEAIIPYAJPEvuExCBwggehMoF//qS/PuEUAIILpOlpGnYMVs/wb3r15C3NEDiDv2YGuTX+MHv377VqoJzzz2J/IpvadpBaR21XJqAi+rFmGrvzX/Ai+/uO87dBx9OjVGkUL5MXzSEnXip0yIBUaWrtmkJvnjBne0eMzZc5chk+k5Y3ujUvkXzABS5dVSyJ4tCMWfKIj6NV6DrCRYazoA8txTRdCuWS1cu3FbbaH6sHeIeo+wVd9i4tyVaN+sFl4tWxKffrEF3+/cj+qVy+Lt2q/j19+OK+D6Yd0Mi61nsXHxqN6sH2pXLW/ePiYAEhjoj6KPF0CBvMFqcv3Yo3l1Xchsl1wTgYKwVRvxzfLxZhvZslW4UH717DI1O0NOXBUIkXbsxBk07hiKXetn29Qtead+/e0E/rf5J+zc/Rv6dn4XMtb2mr1+pXR99Wb90aNdIwKIPZFd/XMCCAHECID4Te2rzGPe6YL7hZ50dfdOk/4RQAggOo5FACGA6PiJ2GQkgESEdkfcsYNWuxo0fAa8n7X+C77uu1nbgiXQIIDRsGZFteWndMli5l/gZZJ/8vQ5zB7TSz1i264D+HDCYnPpANNz70beQ8vuoxAUGICwaYPg5eWpEqGnL1wL2XIlSdXrNu5UKxGr5g03//qfuN86ALJ81hBVvkDamBnLIc+VmmwCID/uPYyFk/qrzyTftmP/STi6PUz9Lcn3Fep1UxP/xwsmBQmBrG++342vl41Dnlw5lP3sJevg6eWJhARg64/7ISDx+cIRhiDEmiayxerbbXuwdsEI86tLPkhQgD+G922N595oawY4MTh15jzqtRmC71ZNRv68wVrDLCtAX3//C4788Rc6h9RTKyv2Wkr9kpWklBoBxJ66meRzAsiDgWIOiKXDcgJlPYgJIJa6MAeE8aP7nzxuwdKLn/TagpURANIndLY6bWlY7xALAPl4+XpIboEJQH7Zfwzt+0wwT+xFPckfeH/YDFy6cgNLZwy2mSchNdTqhHyAz+YMgyRXJ29GAUS2VkkOguRPJAeQ/YdPoFWPMeZ+RsfEonS1Dvhi0cgk28fmhH2J2WFfYuW84Sj5dBGrYRMbG4fqzfuj1dvV0LZpTa3QsqWJvZUGWQERoKpW6WX1nNSsgJg6KCshIT3H4NsVE1S+S0rNXr8IIFrDnrmNCCAEEFseTAAhgOh+uxFACCC6vkIAcS0AMfUmPZPQ5Rds2RrVtXV9CwCR06IOHv3TJoDciYhEz6EzEBUVjfkT+qaYpC0rAmVrdVZ5Fq+UesZhABkx5RP8efo8ls0cbAVATqJVj9E2AUSOm508bxVk4v3J9EEoUbxwiiHzbqcRqFThRaWRvZaSJqZci4NbFpqLV4v+IY2rmXNAJPHdlJPjSA6IbFOr1Oh9rZPD7PWLAGJv1N3gcwIIAYQAYiyQuQKiN4Eypqr7WRPgrY8pAUQvftJrBSS9AGTjpxPUdqP1W3YhdFIYVs0fDsmvSL4FKyUAiYyKRtPOI1S9iqkjuqvCzNI8PT1VErhMau9FR6PcS8+qJOhpCz5X27C+Wz3Zaj6DzgqI5J7UqloOew78jgGj5qmtYlLY2XIFJGUAGTp+keqLnND1xOP/5dVI7YwLl66pY3AFBIJzZsembXswcPR8tbrz0vPFU/xytKeJfF6mZicM7NYMza2cgiV6r92wQ52CJYWqOw+con0KlryP5Ne89MJT8PTwwNQFa1Vy/tY1U1TeTkrNXr9kC13b3nJSWC1zDRkZ94T7CWpVS7Z61XmzvBmqMuK/IDyG10HVCSAEEAKIsSAigOhNoIyp6n7WBBACiK5XZ2QOiKmP969cxP2rF9WfjuZ9JH7vw3+cVtAgNSJMdShkMiyTeGkCIDLJNv0CnxxAdh/4Hd0HT8fejfNw+epNyAlPyZvUA9n55Uxs+WEfBo9daH6O/PvEYV1Q7iXLGiByDx0ASdxvSQwf2b+dyieRRPpde4/g44n9VHf2H04KIDExsSiVaAuWrDpIcn3yJjkiUh6lTa9x6v1MLbFGKfmRPU3kWoEbSTw3taG9WqFZg6rqT1klkpyQH345pP4WKJw5+n1zbkpKz5bVnBGTH+S8SBOYGjOog029k98rpX6ZcmgS97VP6Bx1SlfipnviWUrvkdrPCCCpVe7f6wggD4RgDoilI3ECZT24CCCWunALFuNH9z9FXAHRi5/0XgHRHb/U2snJT5ev3lC/8FuryZHa+ya/Tn4lv37jjvpnWXFxtPihVPq+fO0m/Hx9tWpypPY95DlS0E8gTZK/TdXKJbdDYMZWCwz0s1rZPLl9fPx9XLp6A3mCc1hdNbgdfheSeyJJ+9KkP3fCI20+19vbC4EBfmo1SvROQALyBOc0VyeXFQzZdma1ecC8ImWvX6nVMz2uI4A4qDIBhABiy4UIIAQQ3a8XAggBRNdXCCAPJ4Do+gftkiogie/f7fzVpizDeoVYnLLlDA0FIHqHzrZ5qxdLPKmKG9pqss3u3CXLFR+x9/H2xtxxlitZzuh3et6DAOKg2gQQAggBxFgQcQVEbwJlTFX3sybAWx9TAohe/LjbCoj7RTjf6GFXgADioAcQQAggBBBjQUQA0ZtAGVPV/awJIAQQXa92hRwQ3b7SjgpQgQcKEEAc9AQCCAGEAGIsiAggBBAdjyGAEEB0/ERsCCC6StGOCriOAgQQB8eCAEIAIYAYCyICCAFEx2MIIAQQHT8hgOiqRDsq4FoKEEAcHA8CCAGEAGIsiAggBBAdjyGAEEB0/IQAoqsS7aiAaymQJgAiBWYKF8qH114pqXW8mWtJYqw3BBACCAHEWMwQQAggOh5DACGA6PgJAURXJdpRAddSIE0AZMSUT7D6f9tUUZXWTWqgQfXXkD1boGu9uZN6QwAhgBBAjAUTAYQAouMxBBACiI6fEEB0VaIdFXAtBdIEQOQVD//+F+T85S+//VG9cZN6b6Bp/Sp4qmgh11LAwd4QQAggBBBjQUQAIYDoeAwBhACi4yfuDiBS0XrXviOoWeUVXTns2klxvpu37iBfnmBz4Tu7F6XCQKpuly31DHJmz5qKqy0vkaJ9V6/fhlRoz+Lr45R7mm5iTxMpCnjl+k1VaNBU5DBxB6Tuh/TPWe+q+3L2+mXtPtJPTw/PNB17nf6nGYCYHi6VKb/69kcs+3wzpOR9mRefRqu3q6FShRfcYnsWAYQAQgDR+ar5z4YAQgDR8RgCCAFEx0/cHUDkx9ymXT7CkW1LHK5KLlr1GDIdW386oKSViXyDGhXRt3MT9bfM1yo26GEh+6IpA1CudAmLf5+/bL0CgTbv1rA6VM9WboPls4ag1HPFdIfSpt2CTzdg2oK15s+rVy6D4X3amHfX1Gs9GKfOXkhyfbc2DdC1TQO7z05JE7l4x8+H0O+juarKurThfdugSd3K6n/Lvw0cNd+s6fMlimLmqJ7miugpPdyo3snvlVK/bD1XQOvdTqHo2LIu6rxV3q42aWmQ5gAi9P6/zT9hyaqNCkAC/P3UgInjdw6pjxaN3kzL90vzexNAHkicI8gXMbHxiIyOT3PNM8sDOIGyPlIEEEtdWAndUhPGj/X4YSFCvfhJ70KE969cxP1rl1TnvEuUctp/ppwNILMWr0O1ymXw2KN58Muvx9Bt8DSsnPshSj7zBK7fvIPXG/bEvPF91eemlidXTvj7+Vq8U3oCyJoN21GoQB68UOJJ/HPhCtr3GY/2zWqb4UcApPab5VHjjbLmfmbPGogc2YPsjkVKmsiEXTSRquUyX92+6yDeHzYTmz6biIL5c2Phiq+xZv12LJs5RGnUZdBUFHksP0YOaGf3uUb1TnxDe/2y9vBJ81ZhycqN6qPxQzq5L4AcOX4aq77ahi+++UG9bJVXS6F5wzfxSukSOH7qbyxbuxm/7D+GrWum2h0kVzYggBBAbPknJ1AEEN3vLgIIAUTXVwggrgcg0V+vRtQnM8wd8yr8JIKGz4RHoONbj0wAIhNgmeiGR0ShU6u6eK95bfW8cbNWwMvTE6fOnsfO3YdR/uVnMahbcyxYsQFbfzyAsqWeRs/2b9vc/l6lcW+1PV5+ETdNiDcsHasm0faaDoC0eqcadu8/hhN/nUPdahXUqoVM1Ndv3oUdvxxC1qAAbNjyM/LneQSh/drg531H1fZ92erUvW0jVK1Y2mo3hk1YjPMXr2Lx1IHqcwEQWYlpVOt1e922+3liTWSVoesHU3Fg8wL4/rvtq1bLgQpGWjR6C+90GA5ZjenQoo66r2w76xM6R2vFyqjeiTtur1/WXvLW7Qjci4lB864j0adjE/cEEFMSuqx2yCA1rlsZj+bLZaHH7fC7EELNzI0AQgAhgBiLYK6A6E2gjKnqftYEeOtjSgDRi5/0WgFJuBuO221rWnTK75228GvS3uHANAFI7arl1AReVi3CVn9r/gVefnHfd+g4+nRqjCKF8mP4pCU4d/GqmhALjCxds0lN8scN7mjRl7PnLkMm03PG9kal8i+YAUR+MM6eLQjFnyiI+jVeszlP0wGQ554qgnbNauHajdtqC9WHvUPUe8hpqRPnrkT7ZrXwatmS+PSLLfh+535Ur1wWb9d+Hb/+dlwB1w/rZlhsPYuNi0f1Zv1Qu2p58/YxAZDAQH8UfbwACuQNVpPrxx7Na1j/5JqsXr8dYas24pvl4833ki1bhQvlV88uU7MzRg1sryBE2rETZ9C4Yyh2rZ9td35rAhBdvRO/jL1+pfTi1Zv1R492jdwTQOYu/QoF8+XGW5Vehl8Wy2U7wx7hwhcQQAggBBBjAUoA0ZtAGVPV/awJIAQQXa/OyErocUf3I2JET4uuepd4EUGhs3RfwaadtS1YAg0CGA1rVlRbfkqXLGb+BV4m+SdPn8PsMb3UPbftOoAPJyzGzi9nJnnG3ch7aNl9FIICAxA2bRC8vDwRcTcK0xeuhWy5kqTqdRt3qpWIVfOGm3/9T3wTHQBJnAMyZsZyyHNHD3pPAciPew9j4aT+6pY/7T2Cjv0n4ej2MPW3bN+vUK+bmvg/XjApSAhkffP9bny9bBzy5Mqh7GcvWQdPL08kJABbf9wPAYnPF44wBCHWNJEtVt9u24O1C0aYX13yQYIC/DG8b2s890ZbM8CJwakz51GvzRB8t2oy8ucNTnH8jeqd+GYp9UtWkh5aAFmx7nvkz/sI3qiQdB+kOISINrhnS6v7CR2O1Ay4AQGEAEIAMRZ4BBACiI7HEEAIIDp+IjYZCSDxZ04ifEBbi676VqqJgG5DdF/BEID0CZ2tTlsa1jvEAkA+Xr4eh46dMgOIbHVv32eCeWIvD5L8gfeHzcClKzewdMZgm3kSp/++iDohH+CzOcMgydXJm1EAka1VkoMg+RPJAWT/4RNo1WOMuZ/RMbEoXa0Dvlg0Msn2sTlhX2J22JdYOW84Sj5dxKpusbFxqN68vzrwqG1Ty9UpaxfZ0sTeSoOsgAhQVav0srqtkRWQ5P2wp3die3v9emgBRJanSjxVGF1C6ifR4Or1W6j8di+sWzxKLe25QyOAEEAIIMYimQBCANHxGAIIAUTHTzIaQOT5EaHdEXfsYJLuBg2fAe9nrecv6L6X2FlbAZEtNLI1qmvr+hYAIqdFHTz6p00AuRMRiZ5DZyAqKhrzJ/RNMUlbVgTK1uqs8ixeKfWMwwAi2/P/PH0ey2YOtgIgJ9Gqx2ibACLHzU6etwoy8f5k+iCUKF44RRnf7TQClSq8qDSy11LSxJRrcXDLQvj4eKtbif4hjauZc0Ak8d2Uk2MkByR5v+zpndjeXr8IIIkARM4d/ub7X/DBmAXY8cV0rSPK7DmNK3xOACGAEECMRSIBhACi4zEEEAKIjp+4AoBIHkjM9o2Q7VieefLDp0xFp8BHYgDZ+OkEtd1o/ZZdCJ0UhlXzh0PyK5JvwUoJQCKjotG08whVr2LqiO4ICvRXEnt6eqokcJnU3ouORrmXnoWPtxemLfhcbcP6bvVkq/kMOisgkntSq2o57DnwOwaMmqe2ioU0rm4YQIaOX6T6Iid0PfH4fwnyUvD6wqVr6hhcAYHgnNmxadseDBw9X63uvPR88RTdyJ4m8nmZmp0wsFszNLdyCpbovXbDDnUKVoB/FnQeOEX7FCyjeid+EXv9ki10bXvLSWG1zDVkZNwT7ieoVa3OIfVQ583yZqjSjTVn2jn1GF45P1rONU6RvCqXwZTQbs58hwy9FwGEAEIAMRaCBBACiI7HEEAIIDp+4goAotvP1Ngd/uO0ggZTCQO5h0yGZRIvTQBEJtmmX+CTA8juA7+j++Dp2LtxniqFICc8JW9SFkFyRLb8sA+Dxy4017uQf584rAvKvWRZA0TuoQMgifstieEj+7dT+SSSSL9r7xF8PLGf6s7+w0lXQGJiYlEq0RYsWXWQ5PrkTXJEPDyANr3GqfcztcQapaS7PU3kWoEb2dljakN7tUKzBlXVn7JqITkhP/xySP0tUDhz9Pvm3JSUnm1U7+T3SqlfphyaxH2V07lkhSZx0z3xLDW+a+8apwKI0Knso1v55ffIl+cRVE6UA+Lj44XSJYurEwrcqRFAHowm64BYejUnUNYjnQBiqQuP4WX86P53kadg6cVPep2CpTtujtrJyU+Xr95Qv/Bbq8nh6P1N18uv5Ndv3FF/yoqLh8zuHWgJCQm4fO0m/Hx9tWpypPZR8hz5AVzqzEnyt6laucxJBWZstcBAP62i2PHx93Hp6g3kCc5hddVATnWV3BNJ2pcm/bkTHmnzud7eXggM8FOrUdb0lhUM2XZmtXnAvCJlr1+p1TM9rnMqgJg6LMQeFOCndY50erxkWj6DAGIMQGbP80K4lUWy7l3uIyjIRrCl5QCm4b0JIAQQXfcigBBAdH2FAPJwAoiuf9AuqQKS+P7dzl9tyjKsV4jFKVvO0FAAonfobJu3erHEk6q4oa0m2+zOXbJc8RF7H29vzB1nuZLljH6n5z2cBiBCcUKZ/n5ZHCbm9BTA0WcRQIwByKRpXrhzx/IXlb694pE9GwHEUX/MDNdzBURvApUZxjIt+0iAt64uAUQvftxtBSQtY433pgIZoYDTAETK03cbPE2d2SznSG/avtfm++gUaMkIMVLzTAIIAcSW33ACZV0ZAojeBCo130fudA3jhwCi688ZeQyvbh9pRwWoQFIFnAYgf/19ERu27ELIO9Vx4OhJnLtgfelIHt+k3hvI8m9J+8w+IAQQAggBxFgUE0AIIDoeQwAhgOj4idgQQHSVoh0VcB0FnAYgrvNK6dsTAggBhABiLOYIIAQQHY8hgBBAdPyEAKKrEu2ogGspkGYA8tPeI/j86x2Qyo7SihZ+VB1bZu9MZteSx35vCCAEEAKI/ThJbEEAIYDoeAwBhACi4ycEEF2VaEcFXEuBNAEQgY+O/SepN321zHPqyDLJEZH2Ye8QvFu/imup4EBvCCDGACQqygPWUs0D/N0rAV1U4QTKemARQAggOl+5jB8CiI6fEEB0VaIdFXAtBdIEQOq1Hoybt8Px3eop5lyP6JhYfDDmY5Wc/uumj+GXxde1lEhlbwggxgAklTJnyss4gSKA6Douj+G1VIrxQwBxJH54CpauerSjAhmjQJoASK2WA/HW6y+jd8fGSd7qwJGTaNl9NL5YNBJPFS2UMW/s5KcSQAggtlyKEygCiO7XDQGEAKLrKzyGV28F0V0ARCpa79p3BDWrvKLrInbtpDjfzVt3kC9PMDw9HSs0mNLDpOp22VLPIGf2rHb7pGMg5R6uXr8NqdDu7IOM7GkiRQGvXL+pCg2aihzq9Nlkc+3GbQQG+GsXkZTnSTFDLy9PI49RtlKDRLTS1V2eE3//fqrey3DnEl2QJgAyZsZyyKlYCyf1T9K3U2fOo16bIdi2dppWmfrUvJiInhrnSK1zEUAIIAQQY5HKLVh6EyhjqrqfNQHe+pgSQPTix10A5PDvf6Fpl49wZNsSp9RY6zFkOrb+dECJKBP5BjUqom/nJupvqSResUEPC4EXTRmAcqVLWPz7/GXrFQi0ebeGVWd9tnIbLJ81BKWeK+bwF9SCTzdg2oK15vtUr1wGw/u0QfZsgerfZOfNqbMXkjynW5sG6Nqmgd1np6SJXLzj50Po99FcVWVd2vC+bdCkbmW79xWDv89fRueBU3D23GVl36jW6/iwT2v4eHvZvF6AIHRymPp8RL+2Ws8RI+nfwFHzzeP7fImimDmqp7k6u60brd+8C1MXrMHWNVO1n+UMwzQBkLUbdmD4pCXo1KougnM+KEsvTVZAZCB7dXhH/R3gnwUNa1Z0xnuoe/x9/gpqthiALSsnoUC+XOb7jp/9GZau2ZTkORIQEhiOOhcB5IGsOYJ8ERMbj8joeKeNZ2a/ESdQ1keQAGKpC1dALDVh/FiPHwKIXvykN4Ak3A1HxIgeyFKrCXwr13Laf76cDSCzFq9Dtcpl8NijefDLr8dU/baVcz9EyWeewPWbd/B6w56YN76v+tzU8uTKafWX+/QEkDUbtqNQgTx4ocST+OfCFbTvMx7tm9U2w48ASO03y6PGG2XN/c6eNRA5sgfZHYuUNJGVEdFEqpa3aPSmymd+f9hMbPpsIgrmz2333pIPHRToj9GDOuDSleto0mmEyoWuW62C1Wtl1WjUtGUKBt+pU8kQgCxc8TXWrN+OZTOHqPHqMmgqijyWHyMHtLP6LIGjDv0m4dzFq8ibO6d7AEivD2dhyw/77A6MDJ4MojNas64j8duxU+pWyQFk3KwVymEHdG1mflSWLD7Il/sROOpcBBACiC3/5QSKAKL73UYAIYDo+goBxPUAxAQf8Wf+VJ0L6DrYaRBiAhCZAMvkMjwiSv24+17z2upZMr/x8vTEqbPnsXP3YZR/+VkM6tYcC1ZswNYfD6BsqafRs/3bNre9V2ncG03rV0HHlnXNALJh6Vg1cbXXdACk1TvVsHv/MZz465yadMuqhUyO5Vf3Hb8cQtagAGzY8jPy53kEof3a4Od9R7Hyq63qV/vubRuhasXSVrsxbMJinL94FYunDlSfC4DISoysMDjaEmsiP5p3/WAqDmxeAN9/69dJmoHASItGb6X4qNvhd1Ghbrckq0Cjpy/DpSs3MHP0+1avjYyKxp2Iu5j68RqVK21kBeSdDsMhK0MdWtRR9xaY6RM6x+bqmewYkq1h4icLxV/cYQXE0cFPzfVXrt1SdCkgYg1Abt2JwLjBHS1ubc+5JLglX8W0UvPrbyew4NP16hcCaQQQAggBxFjEcgVEbwJlTFX3sybAWx9TAohe/KTXCkhy+DD1zlkQYgKQ2lXLqQm8rFqErf7W/Au8/Mq979Bx9OnUGEUK5Ve7T+QXbZmECozI7g+Z5Fub/8i2IJlMzxnbG5XKv2AGkCqvlkL2bEEo/kRB1K/xGmQlwVrTAZDnniqCds1qqYmubKEy/foftupbTJy7Eu2b1cKrZUvi0y+24Pud+1G9clm8Xft1/PrbcQVcP6ybYbH1LDYuHtWb9UPtquXN28cEQAID/VH08QIokDcYdd4qj8cezWv4izG5JqvXb0fYqo34Zvl4871ky1bhQvnNz7b1EFPawfbPpyF3cA5ltmztZny16SesXTAixb59NHUp4uPjDQFImZqdMWpgewUh0o6dOIPGHUOxa/1sm2Modhu37lZjQQAx7C7/XXD56k0IuVoDkM079qo9jJKUU+W10uZ6JPacS4K7dMliZqKU5bdhExZh55czCSCJxopbsCwdlxMo68FMANGbQDnwVegWlzJ+CCC6jpyRldDDB7SBaeUjeX8D+42BT1nHfpG3tgVLoEEAQ34YTT5HkUn+ydPnMHtML9WdbbsO4MMJi81zFlMf70beQ8vuoxAUGICwaYNUsnPE3ShMX7gWsuVKEpnXbdypViJWzRtu/vU/8TvqAK5fg3gAACAASURBVEjiHBDJD5bnjh70HgRAftx72JwrbCrfcHT7g9wHSb6vUK+bmvg/XjApSAhkffP9bny9bJw5n3j2knXw9PJEQgKw9cf9Kufi84UjDEGINU1kW9O32/YkAQbJBwkK8FcrNik108FLiQFA5pzzln5ld7JvFEAkb+S5N9qaYVL6ZQKg71ZNRv68wTa7mukBRJJ/ZEmtdZPqOHDkT5y7cMXmy0odEGefYCAPswUg0q8z5y6pZx45flpR9pTQroq07TmXPQCJiIrT/Y50a7ssvp64H5+A2Hj3q+eR2oHz8vSAr7cnomKYF5NYw0A/b0RGx6n/ULA9UEAm2/cTEhAbR1FMPsH4sR4djB/rP/Ykj58gf+90+XqJ2f4NIueMsXiW1+NPIih0JjwCHTsByhqA9AmdrX5MHdY7xAJAPl6+HoeOnTIDyC/7j6F9nwkwTeylo7L1/P1hM9RWoKUzBtvMk5BC0nVCPsBnc4ZBEpqTN6MAIlurlqzcqFZvkgPI/sMn0KrHGHM/pXRD6WodLE5NnRP2JWaHfYmV84aj5NNFrI5xbGwcqjfvj1ZvV0PbpjW1/MCWJvZ+pE7p5iYA2PHFdHMieFqvgAjcVav0surWQ7MCYtrKJLQ6feHnau+ZrWZvOUjLW6wY2QKQ5KaDxnyMW7fD1TYqe85lD0DuRMamtrtudZ1/Fm/Exd9HbNx9t3ovR17G28tTTSzv3iOkJtYxW4APGDdJPcvP1wvx9wHZWsD2QAHGj3VPyBrgg4jIWKsFXR9W37EWP/I9k14tOYQ4Cz6k/9YApHqz/mprVNfW9S0ARE6LOnj0T5sAciciEj2HzkBUVDTmT+ibYpK2rAiUrdVZ5Vm8UuoZhwFkxJRP8Ofp81g2c7AVADmJVj1G2wQQOal08rxVas72yfRBKFG8cIrD+26nEahU4UWlkb2Wkiamue3BLQtVUW1pon9I42qpygEZOXUprly7aTMHxNRXoysgcp3kgEgSvik/yF4OiOlZmX4FJD7+PoRYJbnIwyPtzpVOyZF0AUSWKCWXQ4LAnnPZAxDmgDwYEW7BsvRMbiGxHq3cgmWpC5PQGT/2Jkmmz5kDohc/6ZUDYuqNCUKcCR+JAWTjpxPUdqP1W3YhdFIYVs0fDsmvSD5HSQlAJMG5aecRqkbE1BHd1elM0jw9PVUSuMyH7kVHo9xLz6pjYqct+Fxtw/pu9WSrOQQ6KyCSe1KrajnsOfA7Boyap7aOhTSubhhAho5fpPoiPxw/8fh/CfJyetOFS9fU0bMy+ZaTVzdt24OBo+er1Z2Xni+eYmjZ00Q+L1OzEwZ2a4bmqTgF671+E5EtKFBtO0t+CpZsc2vbW07zqmWu8yJz6fv372PU9GWIi4tHaN828PLy0qrXImMvp9DKKVhyyqwc/5v4FCxJSC+QLxj9Or+rNJFtW/IM2WImx/BuWjERHp4eqSplofv9ldguTY7hTU1HHL1GfjmUwa3RfIDaMyjH8JrOWZbTBOpVq4DHCubD8VN/o22v8YoQ5SQJe84lwX3j5h0M7R2CoAA/NUgHDp9kDkiyASOAcAKlG8MEEL0JlK6e7mpHgLc+sgQQvfhJbwCRXsXu+QHez5ZyeNtV4jc8/MdpBQ0B/n7mOhQyGZZJvDSZo8gk2/Srd3IA2X3gd3QfPB17N84zb1NPrqDUA5G8Vjm9dPDYhebnyL9PHNYF5V6yrAEi99ABkMT9lsTwkf3bqXwSSaTftfcIPp7YT3Vn/+GkKyAxMbEolWgLlqw6SHJ98ibzPfnNu02vcer9TC2xRil9R5p+uLalify7wI0knpva0F6t0KxBVa2vXtnGJiBg6nuDGq8pqJDVFFOeS+L7rf7fNshKUeImx+jqnO4lK1aSn/LDL4fU5QKoctqWgKu0hu2GKiCZEtpN/S2rUfXbPihHYWpy0IG1Awu0XtagkdMAZNVXW9UxazqtX5em2tUgde4nNpL9byoSI3+bAkr+tyzFSe6HqYkDyN5JOeLMnnNJcF+9fgu/nzyrbKV+yNlzlwggyQaGAGLpqZxAWY9eAoilLlwBYfzo/reOAKIXPxkBILpjmBo7+ZH18tUb6hd+2WmSVk1WR67fuKNuLxNXR3e0yK/sl6/dhJ+vr1ZNjtS+lzxHamfIPFASrk0FqSW3Q2DGVgsM9NP6xV9WJi5dvYE8wTnMW7FkBUO2hlltHkiyaiSgIytOgQF+qXpFI+8hx/9KHowcIODKzWkAIsX+9h78Q72rnD4gTvBMsceTvLtM4gUMZCnRtPSXXuKIo9y8HY7cwdYL6lhzLumbaXlTfm0QG1nWSty4BeuBGgQQTqB0Y5kAojeB0tXTXe0I8NZHlgCiFz/uBiDuGudp/V6S+P7dzl9tPmZYrxCLU7Z0+yRb4c5dslyVket9vL0xd1xv3VvZtUvL97D78DQycBqAJO6fVNaU85dlCSxxk9wLWQ78dNZQrf1safTOhm6bfH9l8osJIAQQWw7FCZR1ZQggehMoQ19UbmjM+CGA6Lp1Rh7Dq9tH2lEBKpBUgTQBEKnFYe34s+On/kGj9sOsnuvsqgMjZ1PLMpYUI7TWCCAEEAKIseglgBBAdDyGAEIA0fETsSGA6CpFOyrgOgqkCYC07D4aN27dwYal45KsdMgJBnKSwer5oXj2qZSPUHMdiVLuCQGEAEIAMRatBBACiI7HEEAIIDp+QgDRVYl2VMC1FEgTAJHCf1Jr49Uyz+GNV0uhQN5cOHriDD5b9516+80rJ6dpElV6SkwAIYAQQIxFHAGEAKLjMQQQAoiOnxBAdFWiHRVwLQXSBEDkFeUosYlzVyU5mUqOBJPS9cmT011LEmO9IYAQQAggxmKGAEIA0fEYAggBRMdPCCC6KtGOCriWAmkGIPKacpybFIi5HR6JvLlyms8idi0JHOsNAYQAQgAxFkMEEAKIjscQQAggOn5CANFViXZUwLUUSFMAkfORo+5FW7xxas9Bdi3pHvSGAEIAIYAYi0wCCAFEx2MIIAQQHT8hgOiqRDsq4FoKpAmAXLl2C/OX/Q+bd+xVhWGSt13rZycp0OJakhjrDQGEAEIAMRYzBBACiI7HEEAIIDp+4u4AItWyd+07gppVXtGVw66dFLW7eesO8uUJTtOSCJu270HZUs8gZ/asdvukYyC7aq5ev63qyWXx9dG5RNvGnibyg/qV6zfVqaimIoe6N4+OiVUFraUqvPTdaJM6dvLuujpKUcb4+/cN99Novxy1TxMAGTNjOT794jt0a9sQj+bLBW9vryT9rPb6y+ZKko6+QEZfTwAhgBBAjEUhAYQAouMxBBACiI6fuDuAHP79LzTt8hGObFvicFVy0arHkOnY+tMBJa1MhhvUqIi+nZuov+UH44oNeljIvmjKAJQrXcLi3+cvW69AoM27NawO1bOV22D5rCEo9Vwx3aG0abfg0w2QWnKmVr1yGQzv0wbZswWqf6rXejBOnb2Q5PpubRqga5sGdp+dkiZy8Y6fD6HfR3PNOc3D+7ZBk7qV7d5XDOTkVzkB1tRKlyyOmaN6alWFl4LeA0fNN4/X8yWKqmvtVTiXg6CmLliDrWumavUxo4zSBEDEgRvXrYye7d/OqPdKt+cSQB5IzUroli7HCZT1MCSAWOpirY5Bun2JueiDGD/WB4aV0PXiJ70qoSdEhCP+7EmLTnkEZoNX4Scdji5nA8isxetQrXIZPPZoHvzy6zFI4eiVcz9EyWeewPWbd/B6w56YN76v+tzU8uTKafXk0vQEkDUbtqNQgTx4ocST+OfCFbTvMx7tm9U2w48ASO03y6PGG2XN/c6eNVBrop+SJrIyIpp0b9cQLRq9ie27DuL9YTOx6bOJKJg/t93xFY1eK1sSxYsWwsXL19Ci2yi0eqcaOrasa/fahSu+xpr127Fs5hClvxTGLvJYfowc0M7qtX+fv4wO/Sbh3MWryJs758MJIJ0HTlaOMuT9VnYFzuwGBBACiC0f5gSKAKL7/UYAIcDr+goBxLUAJO7wPkSM7GXRKe/nXkLQh9N1h9WmnQlAZAIsk9HwiCh0alUX7zWvra4ZN2sFvDw9cerseezcfRjlX34Wg7o1x4IVG7D1xwMoW+pp9WOwrWLKUji6af0qakJsApANS8eqia69pgMgMtnevf8YTvx1DnWrVVCrFjKZll/pd/xyCFmDArBhy8/In+cRdUrqz/uOYuVXW9Wv/N3bNkLViqWtdmPYhMU4f/EqFk8dqD4XAJGVmEa1XrfXbbufJ9ZEVj+6fjAVBzYvgO+/275qtRyoYKRFo7fs3iuxQWxsHOTePdo1QpN6b9i99p0OwyErPR1a1FG2sqWtT+gcm6thsk3r2o3batwXyvg/jCsgUj2814ezsPHT8XaXiuyOgIsbEEAIIAQQY0HKFRC9CZQxVd3PmgBvfUwJIHrxk14rIOkFILWrllMTeFm1CFv9rfkXePlVfN+h4+jTqTGKFMqP4ZOWqF/AZdIqMLJ0zSY1yR83uKOFcGfPXYZMpueM7Y1K5V8wA0iVV0she7YgFH+iIOrXeM1mzq4OgEj5hXbNaqmJsWyh+rB3iHqPsFXfYuLclWjfrBZeLVsSn36xBd/v3I/qlcvi7dqv49ffjivg+mHdDIutZ7Fx8ajerB9qVy1v3j4mABIY6I+ijxdAgbzBqPNWeTz2aF7DX4zJNVm9fjvCVm3EN8vHm+8lW7YKF8pvfra9h8TExGLxyo0KuHIHZ8eYQR0QFOhv7zKUqdkZowa2VxAi7diJM2jcMRT28qg3bt2ttH0oAUT2yokAtpo98eyOigsZEEAIIAQQYwFJANGbQBlT1f2sCSAEEF2vtraC6G4AkjgHRKBBAKNhzYpqW07pksXMv5LLJP/k6XOYPebBqsy2XQfw4YTF2PnlzCRy3o28h5bdRyEoMABh0wbBy8sTEXejMH3hWsiWK0l8ltwFWYlYNW+4+df/xDfRAZDEOSCSHyzPHT3oPQUgP+49jIWT+qtbyg/XHftPwtHtYepvSb6vUK+bmvg/XjApSAhkffP9bny9bJy5vMPsJevg6eWJhARg64/7ISDx+cIRhiDEmiayDerbbXuwdsEI86vLHDcowF+t2Og02cY1ZNxC/PHnWaXt2MEd1YpPSk0SyZ97o60ZDsX21JnzqNdmCL5bNRn58wbbvPyhBhChWNmjZ6s1a1jV6ScY6DhBWtgQQAggBBBjkUUAIYDoeAwBhACi4ydi87ABSJ/Q2epEpGG9QywA5OPl63Ho2CkzgPyy/xja95lgntiLXjIhfn/YDFy6cgNLZwy2mSdx+u+LqBPyAT6bMwySAJ28GQUQ2Vq1ZOVGtXqTHED2Hz6BVj3GmPspJ0eVrtYBXywamWT72JywLzE77EusnDccJZ8uYtVFZKtT9eb90ertamjbtKaWG9nSxBkrIKYOCFR06D8J+XI/olY27DVZARFYq1bpZWXKFRB7ij1knxNACCAEEGNBTwAhgOh4DAGEAKLjJw8jgFRv1l9tjeraur4FgMhpUQeP/mkTQO5ERKLn0BmIiorG/Al9U0zSlhWBsrU6qzyLV0o94zCAjJjyCf48fR7LZg62AiAn0arHaJsAIsfgTp63CgIEn0wfhBLFC6foHu92GoFKFV5UGtlrKWliygE5uGWh+fRW0T+kcTXDOSDSD1kF+uvvi+aVn5T6JjkgklRvyvexlwNiutdDvQIiIuw+8LtavpNlsM6t6qn9hZPmrUJwjmzaRGrPaVzhcwIIAYQAYiwSCSAEEB2PIYAQQHT8JKMBJP6v44haOsuiq15PFId/iOWRtrrvZLIzJaFv/HSC2m60fssuhE4Kw6r5wyH5Fcm3YKUEIJFR0WjaeYSqKTF1RHdzHoKnp6faEiST7XvR0Sj30rPw8fbCtAWfq3ncd6snW80D0VkBkdyTWlXLYc+B3zFg1Dy1VSykcXXDAGI6zlZO6Hri8f8S5OW0pwuXrqmjamWyHpwzOzZt24OBo+er1Z2Xni+eouT2NJHPy9TshIHdmqG5wVOwZEubrEjJVrmCBfKoFYz3+k5UQCEHCdhrMpZrN+xQp2AF+GdB54FTkpyCJQnpBfIFo1/nd9WtZIUlLi5ebRmTY3g3rZgID08Pl60HkibH8B49fgZNOoWqY8DkxAZT0tGKdd9j9PRl+HXTx/DL4mtP+0zxOQGEAEIAMRaqBBACiI7HEEAIIDp+ktEAotvH1Nod/uO0ggYpYid1IaTJZFgm8dIEQGSSbfqVPDmAyI/B3QdPx96N83D56k11ClPyJvVAJEdkyw/7MHjsQvNz5N8nDuuCci9Z1gCRe+gASOJ+S2L4yP7tVD6JJNLv2nsEH0/sp7qz/3DSFRBJ3C6VaAuWrDpIcn3yJjkiHh5Am17j1PuZWmKNUtLeniZyrcCNJJ6b2tBerdCsQVW7QyorSK3fH4vfT5412zao8Ro+7NNaKw1Brpd8kx9+OaSuF+CcOfp9c95Lw3ZDFZBMCe2mPpfVpfpthyTplyT8WzuAwG7n08EgTQBEjke7HR6B6R/1QKcBk1H3rQrq1APTfsL/hY1G0cKPpsPrpf0jCCAPNGYdEEtf4wTKevwRQCx14TG8jB/d/1rxFCy9+EmvJHTdcXPUTk5+unz1hvqFX46xTasmqyPXb9xRt5cVFw+Z3TvQ5Ff5y9duws/XV6smR2ofJc+RQooCaZKgbapWLrkdAjO2WmCgn9YKQXz8fVy6egN5gnOYt2JJor5sDbPaPGBeNRKQuH7zNnI9kkOtZEgz0q/b4XcheS32ChCmVruMui5NAEQKEfbu2FidxyynGpgAxFRlU04TeKbY4xn1zk59LgGEAGLLoQggBBDdLxsCCAFE11cIIA8ngOj6B+2SKiCJ79/t/NWmLMN6hVicsqWroWyFO3fJclVGrvfx9sbccZarTaZ7p2W/dPuf0XZpAiDv9ZuI4JzZMH5IpyQAIsVmZF/eLxvmqHOp3aERQAggBBBjkcwVEL0JlDFV3c+aAG99TAkgevHjbisg7hfhfKOHXYE0ARDZRyiFCJs3rIrd+39H5Qov4pEc2VRhFNn/JseKuUsjgBBACCDGopkAojeBMqaq+1kTQAggul6dkcfw6vaRdlSACiRVIE0ARB4hR6VNnLPSnMwk/yaVPIf0amWzqmZmHBwCCAGEAGIscgkgBBAdjyGAEEB0/ERsCCC6StGOCriOAmkCIHKqQHRMjCq2cu7SNQUhBfPlTtMEpIySlABCACGAGIs+AggBRMdjCCAEEB0/IYDoqkQ7KuBaCqQJgEiVTkk4D5s2yLXeNg16QwAhgBBAjAUWAYQAouMxBBACiI6fEEB0VaIdFXAtBdIEQCbM/gx7Dv4BOe3K3RsBhABCADEW5QQQAoiOxxBACCA6fkIA0VWJdlTAtRRIEwCRoitSQn790rF44rH/Kla61qs7pzcEEAIIAcRYLBFACCA6HkMAIYDo+AkBRFcl2lEB11IgTQBEKnFOW7AWBfPnxlNPFrJ4Y6nKKNUx3aERQAggBBBjkUwAIYDoeAwBhACi4yfuDiC379zFrn1HULPKK7py2LWTIng3b91BvjzB8PR0rNBgSg/btH0PypZ6BjmzZ7XbJx0DKZJ49fptSIX2LL4+Opdo29jTRAoOXrl+UxUDNBU51L65g4ZS8FDeXVdHKcoYf/9+uvfT6GumCYDMXfoVfjv2l82+TB7ehQBidKRc3J6V0C0HiBMo605LACGA6HydMX4IIDp+4u4Acvj3v9C0y0c4sm2Jw1XJRaseQ6Zj608HlLQykW9QoyL6dm6i/jYVi06u+6IpA1CudAmL4Zi/bL0CgTbv1rA6VM9WboPls4ag1HPFdIfSpp3ph22TQfXKZTC8Txtkzxao/qle68E4dfZCkuu7tWmArm0a2H12SprIxTt+PoR+H801n+o6vG8bNKlb2e59xWD87M+wdM2mJLaih+hir8kBTgNHzTeP1/MlimLmqJ52K6Kv37wLUxeswdY1U+09IkM/TxMAydA3SueHcwXkgeAEEEvH4wTKejASQCx1YSV0xo/uf7pYiFAvftKzEGH8mZOqU16FiyHhbjiiv1kDv8btdIc0RTtnA8isxetQrXIZPPZoHvzy6zF0GzwNK+d+iJLPPIHrN+/g9YY9MW98X/W5qeXJlRP+fr4W/UxPAFmzYTsKFciDF0o8iX8uXEH7PuPRvlltM/wIgNR+szxqvFHW3M/sWQO1Tl9NSRNZGRFNurdriBaN3sT2XQfx/rCZ2PTZRLXLx14bN2uF6u+Ars3Mplmy+KhTYu21hSu+xpr127Fs5hClf5dBU1HksfwYOcC6b/19/jI69JuEcxevIm/unA8vgMgS0Jl/LuHSlRt44vECSgwRR7ZeyRKWuzQCCAHEli8TQAggut9zBBACiK6vEEBcC0AEPiJCe6hOBfYfg6hPZiD+zJ/wrVwTAV3t/8ptb9xNACITYJmMhkdEoVOruniveW11qUxwvTw9cerseezcfRjlX34Wg7o1x4IVG7D1xwMoW+pp9Gz/Np4qarkdXq6v0rg3mtavgo4t65oBZMPSsWqia6/pAEird6ph9/5jOPHXOdStVkGtWshkWn6l3/HLIWQNCsCGLT8jf55HENqvDX7edxQrv9qq5ond2zZC1YqlrXZj2ITFOH/xKhZPHag+FwCRlZhGtV631227nyfWRFY/un4wFQc2L4Dvv9u+arUcqGCkRaO37N5LxufWnQhI6oHRJrnUstLToUUddalsaesTOsfmaphs07p247Ya94Uy/g/jCsjdyHvoPHAK9h8+8SBABndUjtdz2Ayc+fsS/vfJGKPj4LL2BBACCAHEWHhyBURvAmVMVfezJsBbH1MCiF78pNcKiABIeGh3IPJuko75VqqJgG7OAxAp5CzzKFm1CFv9rfkXePlVfN+h4+jTqTGKFMqP4ZOWqF/AZdIqMCLbf2SSb20CfPbcZchkes7Y3qhU/gUzgFR5tRSyZwtC8ScKon6N12wWj9YBkOeeKoJ2zWqpibHkBn/YO0S9R9iqbzFx7kq0b1YLr5YtiU+/2ILvd+5H9cpl8Xbt1/Hrb8cVcP2wbobF1rPYuHhUb9YPtauWN28fEwAJDPRH0ccLoEDeYNR5qzweezSv4S/G5JpIUe2wVRvxzfLx5nvJlq3ChfKbn53SQwRANu/Yq7awSQ5HlddK46Xni2v1q0zNzhg1sL2CEGnHTpxB446h2LV+dooFvTdu3a20fSgBRAZs5qLP1ZLT8s+3oOXbbymH23PgD7TtPQ7b1k5Dnlw5tAbA1Y0IIAQQAoixKCWA6E2gjKnqftYEEAKIrldndCX0uKP7ETGip7m7Pi+/hsAB43S7n6KdtS1YAg0CGA1rVlTbckqXLGb+lVwm+SdPn8PsMb3UfbftOoAPJyzGzi9nJnmO/FDcsvsoBAUGqJptXl6eiLgbhekL10K2XEni87qNO9VKxKp5w82//ie+iQ6AJM4BGTNjOeS5owe9pwDkx72HsXBSf3XLn/YeQcf+k3B0e5j6W5LvK9Trpib+jxdMChICWd98vxtfLxtnnkvOXrIOnl6eSEgAtv64HwISny8cYQhCrGki26C+3bYnSVkJyQcJCvBXKzb2mqz0nDl3SeXKHDl+WkHWlNCuCrRSarKL6Lk32prhUGxPnTmPem2G4LtVk5E/b7DNyx9qAGnYbqgSt3NIPeVQdd+qoADElOC0ct5wlHy6iL1xyxSfE0AIIAQQY6FKACGA6HgMAYQAouMnYpORACI5HxEjeqhtV6bmERCEoNCZKifE0WYNQKTYs/yaPqx3iAWAfLx8PQ4dO2UGkF/2H0P7PhPME3vpj+Q1vD9shtoiv3TGYJt5Eqf/vog6IR/gsznDIAnQyZtRAJGtVUtWblSrN8kBRHbMtOoxxtzP6JhYlK7WAV8sGplk+9icsC8xO+xLpDSPjI2NQ/Xm/dHq7Wpo27Sm1hDY0sTRFZDkDx805mPcuh2u8mzsNVkBEVirVullZcoVEHuK/bsXr0HN19Cuaa0kAGKit80rJ+HRfLk07uT6JgQQAggBxFicEkAIIDoeQwAhgOj4SUYDyL3Vi3Bv7RLVVVn5iD12QG3H8syVF9nmfK77CjbtrAFI9Wb91daorq3rWwCInBZ18OifNgHkTkQkeg6dgaioaMyf0DfFJG1ZEShbq7PKs3il1DMOA8iIKZ/gz9PnsWzmYCsAchKteoy2CSByDO7keasgQPDJ9EEoUbxwitq+22kEKlV4UWlkr6WkiSkH5OCWhfDx8Va3Ev1DGlfTygFJ/mxZofr1txNKA3tNckAkqd6U72MvB8R0v4d6BWTk1KX4cc9hfDLjA7X0JysgVSu+hP4j5+K3Y6ew/fPparnPHRoBhABCADEWyQQQAoiOxxBACCA6fpLRACLPj5w9WnVVcj4kJ+TuhEFqC5YzV0A2fjpBbTdav2UXQieFYdX84ZD8iuRbsFICkMioaDTtPELVlJg6ojuCAv1Vvz09PVUSuEy270VHo9xLz8LH2wvTFnyutmF9t3qy1ZwDnRUQyT2pVbUc9hz4HQNGzVNbxUIaVzcMIEPHL1J9kZWDJx7/L0FeDji6cOmaOqpWJuvBObNj07Y9GDh6vlrdsZdvYU8T+bxMzU4Y2K0ZmqfiFKypH69BvWoV8FjBfDh+6m+07TVeAYUcJGCvyViu3bBDnYIV4J9F5VYnPgVLEtIL5AtGv87vqlvJtq24uHi1ZUyO4d20YiI8PD1cth5ImhzDe/N2ON5+70NcvnpTiSJHlcn2KznTeNaY9/FGhVL2dM80nxNACCAEEGPhSgAhgOh4DAGEAKLjJ64AILr9TI3d4T9OK2iQE0RlDiVNJsMyiZcmACKTbNOv5MkBZPeB39F98HTs3ThPzcnkhKfkTeqBSI7Ilh/2YfDYhebnyL9PHNYF5V6yrAEi99ABkMT9lsTwkf3bqXwSSaTfiEzA+gAAIABJREFUtfcIPp7YT3Vn/+GkKyAxMbEolWgLlqw6SHJ98iY5Ih4eQJte48xzzuQapaS7PU3kWoEbSTw3taG9WqFZg6pawykrMZL7YWoNarymts75ZbE81jj5DWUFSvJNfvjlkPpIgHPm6PfNeS+S7iBAMiW0m/pcVpfqt0168IGkP6TmBC6tl3PQKE0ARPok++lWr9+Go3+cRvjdKBQplA8Na1VEsSIFHeyya11OAHkwHqwDYumXnEBZj1UCiKUuPIaX8aP7XzaegqUXP+l1CpbuuDlqJyc/Xb56Q/3Cb60mh6P3N10vqyPXb9xRf8qKi4fM7h1o8qv85Ws34efrq1WTI7WPkueYfuiWBG1TtXKZiwrM2GqBgX5aKwTx8fdx6eoN5AnOYd6KJYn6sjXMavOAedVI7OSH+dzB/9VTMdKv2+F3IXkt7lTCQjRLMwBJrRNltusIIAQQWz5LACGA6H6fEUAIILq+QgB5OAFE1z9ol1QBSXz/buevNmUZ1ivE4pQtXQ1lK9y5S5arMnK9j7c35o6zXG0y3Tst+6Xb/4y2cyqAfPHND4pA5VxnEzVv3rEPazdsx9Xrt1DnrQpo06SG2+R/yOARQAggBBBjX2NcAdGbQBlT1f2sCfDWx5QAohc/7rYC4n4Rzjd62BVwGoDIKQLl63TFu/WrqEIz0qTyec0WAyH7CGXpSCphdmvbUOtUgtQOjCwfmpbekt9DCuEEBvhbXb6UZbQr12+qftq63lqfCCAEEAKIsWglgOhNoIyp6n7WBBACiK5XZ+QxvLp9pB0VoAJJFXAagEiiU7ve4/G/sNEoWvhR9RQpOvPpF9/hu9VTkC93Tkyau0olHu3fvEAVZXF2+/v8FdRsMQBbVk5CgUTH/AoIyekBUphGWqNar+PDPq3VKQ/S5OQHSfQxJXgN79sGTepW1uoeAYQAQgDRChWzEQGEAKLjMQQQAoiOn4gNAURXKdpRAddRwGkAsmHLz+rYs4PfLTJP7CVDX4rlyBnS0kynHGxYOlZl7juzNes6Uh3xKy05gEgxRDlubvSgDrh05TqadBqhVmnkdABJBHq9YU90b9cQLVJxxBoBhABCADEWyQQQAoiOxxBACCA6fkIA0VWJdlTAtRRwGoD8b/NP+GDMAhzYvEAdsWaqYin5IH06NVFvLUeoyVFqtqpqOiLNlWu3FFwIiCQGEDk9oELdblg+awhKPfegKuno6ctUBVA5zsxUZMbUb/m8VsuBCkZaNHoL42atUFU4G9asqK6VAjILPl1vrmJJACGAEECMRS4BhACi4zEEEAKIjp8QQHRVoh0VcC0FnAYgB46cRMvuo7FwUn+Uf/lZmCo2Jq77sXP3b2orVFpVQjed55wYQEzV17d/Pg25g3Mo9Zet3YyvNv2EtQtGqKqaYas2Qs6SNjU577lwofzo27mJRZGf7bsOYtiERerMbGkEEAIIAcTYlxoBhACi4zEEEAKIjp8QQHRVoh0VcC0FnAYgksT99nvDVKJ59cplsHP3YeQOzo71n4w1n3o1aMzHWL95FxKXtHemHNYAxARGu9bPNp/JLNAxb+lX2LpmKhau+FpVjRQYMTXJBwkK8EdovzZ2ASQ8yvb50s58N1e/l5+PF+LvJyA2/r6rdzXd+uft6aG2I0bFxKXbMzPDg4L8fHD3XixsnJ6eGV7B6X3M4uOlzpNn/PwnLePHupsxfix1sRY/Wf2dn2fq9MDnDanAQ6yA0wBErQZcuoah4xdBEtKrViyNDi3qouTTRZS8x06cQeOOoWor06iB7dNE8pRWQHZ8Md1cxMWZKyDhkZxcymD6ZfGCFOqJjeO00uTcXl4ekF9xI+/Fp4m/Z9abZg3wRnhUHEgg/42gn68n4hOA2FgCPOMn5cgOCvDG3ag4JPCr1iyUtfiR7xm21Ctw+u+LuHL9Fl4p9Uzqb5IJrty0fS9efuEpBOfMlgl6615ddCqApCSNVHGMjIpGliw+WiXoUyOzNQCxlgMycupSXLl2M0kOSOJVGclTCWlcTeWAdBk0FaVLFkOHFnVUl7gFy/rIsBK6tV/lPBHk74Prd6JT485uew23YFkOLQsRMn50A551QPTih3VAdD3Kut3SNZvUfMd0iJBjd3uQPys7TlIqzufoM1Jz/bOV22DpjMF46fniqbmc1zigQLoBiAN91Lo0Ni5eJaHXaD5A5XPIMbymY3bf6zcR2YICMXrQexanYAkUlanZCQO7NUNzK6dgCYDcuHkHQ3uHICjAD1MXrMGBwyeZA5JsVAggnEBpBSoAAojeBEpXT3e1Yw6I9ZElgOjFT3oDSOiFvRhxcZ/qXMJLXTJ9WBJAMv0QuvwLuA2AlKnZ2VzHQ1SX4oemRHFZSpTkdzmFS1qDGq8htG8b+Pg8WKLd+tMBSOK5qQ3t1QrNGlRVfwqASBX330+eVX/LSVpnz10igBBA7AY3J1DWJSKA6E2g7DqYmxswfgggui7uCnVA0gpA/jx9HpI/+9brL2PV/7YiPCIKHVvWMe/KkF0eE2Z/hs079iFrkD/eqVNZfS4FlSXndtuugwgM8FO5rjIvkvlNxVeeh/xo27LbKEwY1hmPF8yrpJ4T9iWyBgWg1TvVkBhAbt2OQJcPpkL6Iu3Zpwrjgx4t1Amh0uT0UXmm5P7KXEm22Rd9vECS4bO3AiL3ePXl5/D9j7+qXGIpk/Bh79YI8M+itncvXvkNPvvye/X+ssX/g+4tkD1boOpTSvqETgrDK6WfQc0qr6j+bNt1QGkxfkinB++SaAVEtucvWbURsptGtJJ5YJfW9eHh4fEgf/non3jh2aKQshPFihRE/65NdV2UdlYUcBsA0RldcSqpByLBmLyJg1+6egN5gnOYwcQEILIFK6RxdRUEEgyJG0/BeqAGV0AsPdCRCVTUPWDlKi/UqB6P/Pl0vDvz2BBACCA63upI/OjcP7PacAVEL37SawUk7PofOBsTge3h57E9/ILqXGiBMur/tw5+CoV9szrkaod//wtNu3yE2lXLqUm55NguWbkRGz8dj8cezYsBI+fhjz//VuUObty6g7EzV6BXh3dUKYGwVd9i4tyV6BxSD88/UxSr129T9dLkx9mYmFiUqtYBny/8CE8/+Zjq4+CxC/BIzmzo1/ndJAAikLNu406Ufq6YKrOw+LNv8NffF82H98gkXppsWy+QLxjVK5dF/jyPJHlvewAi93juqSJo37y2+tF32oK1GNyzhcobXrNhOybMXqkm/HLf6Qs/V8+ZMbIn7OnTqscYBR/NGz74UVneQ+Bq3eJR6u/EACIQ5+3thUIFcuOf81fQY+gMzBnbG5XKv2DW8vkSRfFmxZeQP08walV9ADVsqVPgoQKQ1EiUPAck+T0IIA8UIYBYeldqJ1ACH0uWeuPSJcDPD2gbEudWEEIA0ZtApeb7yp2uSW38uJMG1t6FAKIXP+kFIJWPf4UdEQ/AI3nbVrw+KmdNuhJg1D9NE+wj25aoX+KlSa0yyUuVE0dl98fEYV3Mk2GpXbZ7/zE1wRYA+XHvYVUeQZrUS3vjnV5qm7pM5HUBRK6Vos2//X4KZ/6+iMN/nFYT+aPbw9R9ZRI/b3xfVHylpM3X0wGQ5PXawu9GYdzgjmqFRSBpeJ/W6v7f7fwV7w+biV3/m42/z19WgGZNH4EXIwAi95bSDcdOnMXVG7cU6L3Xog5aN66utNy0Yy8+nTUUnp4PxoHNMQUIIHb0+2nvEXV6lmmpMbk5AeSBIgQQS0dKzQQqMXyY7uhuEEIAsfQVJqE7J34c+89h5riaAKIXP+4MIH1CZyNn9qxo+fZbqBPygQIK0zYq2R40Yson2LtxngWAiHICLKMGtsMbFUppA4hsc2rbe5zanlXmxadVoWnZkpQYQBLDg7VIMgogK7/aqgBg02cTUbFBD7XCYyoIffHydbz5bl98sWikWslJDiAmfYb1DjEEIAJvsg2ryqul8HihfPjm+1/Q6u1qaNu0plUtM8c3huv2kgDi4NgQQAggtlzIKIBYgw93hBACiN4EysGvpkx/udH4yfQvrPkCBBC9+EkvADH1Jq1yQKytgFRp3BuN61ZG8wZvokK9bpg9phcqV3hRdWXW4nX4ZusvCkqSr4Ccv3QN1Zr2Q9i0QXjxuWJ48c32WDn3Q5R85gl1ra0tWONnf6ZyOxZNHqDquh06dgrNu45MUwAZNmEx/rlwRfW1YbuheLVsSbU1TNrP+45CDhfatnYaLl+9YQEgJn26hNRHu97j8Xq5F9Dm3RrqWltbsAoXyofXG/ZUp36Zjh7uPHAyXilVggCi+d1k1IwAYlSxZPYEEAKIswBE7vPFV144eMhyeTdvXqBd6zj4W6YvOejB6X85AURvApX+I+NaTySAWB8PAohe/LgbgMiWKslR/WLjD5g8b7X69V92ZrTsPhpBgX4Y3qcNbt4OR+/hs1GtUhn07dxEAchXm37E/An9EB0Tg9lhX+KnPYexeeVk+Pv5qtUBOX62XbNa6nTPoeMXon6N1yxyQGYvWaeS2eUI3bi4eHWf5FuwnLECIsWfJddFktmlppy8Q9P6VRRUyXtPG9EdeXM/glHTluLilRtY83EojvxxWgGILX3mfPIV9hz4HdNH9sD5i1dVjkzE3UiLHJBiTxRE+TpdVQK96Lfv0HFIUequresTQNLoPw0EEAeFJYAQQJwJINYgxJ3gQ96PAKI3gXLwqynTX04AIYDoOrErnIJ1JiYcZ6LDVZcdzftI/N6mFRA5lenGrQf3HzmgHRrVel39bznlU/IhTp19kIciKyGSNyHbpUxJ6Kb7FcyfGxOHdYYkUkvb+uN+DJ+0RN1XtnBl8fXBa2WfVxN/2Yq07acDakVAJvtyUqjpNFDJ9RBIcPYWrMTvKEnjA7s3V6d5RUbdw+CxC7HlhwfHHEtfZ47qiaKFHzUnoaekj2zJkpO1Avz98NLzxXDtxp0kCfTLZg5G6ZLFseizbzBl/mr1DDnFS7aayUlYsnoStvpb7Np7BB9P7KfrlrSzowABxEEXIYAQQJwNIIkhxN3ggwBi3VuYA2KpCwGEAKL7n2dXABDdvhq1MwHIoe8X4fadu8iRLUhtg0reJMFcCj1nzxpo/si0BWvu2N6QhG6ZpCdvcfHxuH7jDvLmzmm3axcuXUOO7FktTgO1e6GGgSSyyyrKE48VsFmwWk7juncvJklfdfWRU04ln1eAJqV2N/Ie7kREWpzipfEKNDGoAAHEoGDJzQkgBJC0ABC559Ydnij/yn232HaVWCOugFh6DAGEAKL7nyJuwdKLn/TegqU7fkbtrOWA6N4jeQ6I7nUZYWcCEKm1ZqQ5oo+R59DW+QoQQBzUlABCAEkrAHHQNV32cgKI3gTKZQcwnTrGFRDrQhNA9OLHXQBEtkft+Pmg+QQoI+En246k/llKx+MauV9a2n616Se8WuY5tUphpDmij5Hn0Nb5ChBAHNSUAEIAIYAYCyICiN4Eypiq7mdNACGA6Hq1O2/B0tWAdlQgsylAAHFwxAggBBACiLEgIoAQQHQ8hgBCANHxE7EhgOgqRTsq4DoKEEAcHAsCCAGEAGIsiAggBBAdjyGAEEB0/IQAoqsS7aiAaylAAHFwPAggBBACiLEgIoAQQHQ8hgBCANHxEwKIrkq0owKupQABxMHxIIAQQAggxoKIAEIA0fEYAggBRMdPCCC6KtGOCriWAgQQB8eDAEIAIYAYCyICCAFEx2MIIAQQHT8hgOiqRDsq4FoKEEAcHA8CCAGEAGIsiAggBBAdjyGAEEB0/IQAoqsS7aiAaylAAHFwPAggBBACiLEgIoAQQHQ8hgBCANHxEwKIrkq0owKupQABxMHxIIAQQAggxoKIAEIA0fEYAggBRMdPCCC6KtGOCriWAgQQB8eDAEIAIYAYCyICCAFEx2MIIAQQHT8hgOiqRDsq4FoKEEAcHA8CCAGEAGIsiAggBBAdjyGAEEB0/IQAoqsS7aiAaylAAHFwPAggBBACiLEgIoAQQHQ8hgBCANHxEwKIrkq0owKupQABxMHxIIAQQAggxoKIAEIA0fEYAggBRMdPCCC6KtGOCriWAgQQB8eDAEIAIYAYCyICCAFEx2MIIAQQHT8hgOiqRDsq4FoKEEAcHA8CCAGEAGIsiAggBBAdjyGAEEB0/IQAoqsS7aiAaylAAHFwPAggBBACiLEgIoAQQHQ8hgBCANHxEwKIrkq0owKupQABxMHxIIAQQAggxoKIAEIA0fEYhwEkMhwIyKrzqExlk+8Rf1y5GYX7CZmq22na2eyBPoiNT0DkvTjzcwoE+6fpM3lzKkAFHFOAAOKYfiCAEEAIIMaCiABCANHxGIcAJDIcftP6437BoogJ6a/zuExjQwDRix8CSKZxaXb0IVWAAOLgwBNACCAEEGNBRADRm0AZU9X9rFMNIP/Ch+c/p5QoceWruRWEEED04ocA4n7fCXwj91KAAOLgeBJACCAEEGNBRADRm0AZU9X9rFMFIMngw6SKO0EIAUQvfggg7vedwDdyLwUIIA6OJwGEAEIAMRZEBBC9CZQxVd3POjUA4je1LzxP/GZVjLgqDRHTuGumF4oAohc/BJBM7+p8ATdXgADi4AATQAggBBBjQUQA0ZtAGVPV/axTAyCe//yJLFP7wSPqbhJBEvwDEd17Eu4XejLTC0UA0YsfAkimd3W+gJsrQABxcIAJIAQQAoixICKA6E2gjKnqftapARBRITmEJPj6IrrfdCWQ75p5uNd5eKY+HYsAohc/BBD3+07gG7mXAgQQB8eTAEIAIYAYCyICiN4Eypiq7medWgAxQ8jEnkBsDDwAxNYOgc/WdUBUBO4Xfx73ek/OtIIRQPTihwCSaV2cHX9IFCCAODjQBBACCAHEWBARQPQmUMZUdT9rRwBEQcjJ3+C7fCo8r5wzi+MOW7EIIHrxQwBxv+8EvpF7KUAAcXA8CSAEEAKIsSAigOhNoIyp6n7WjgKIgpATB+E39b86ILG1WyG2TkimFosAohc/BJBM7ebs/EOgAAHEwUEmgBBACCDGgogAojeBMqaq+1k7CiCSC6LgIyoiiTgxIf0QV756phWMAKIXPwSQTOvi7PhDogABxMGBJoAQQAggxoKIAKI3gTKmqvtZOwog3j9vgu/SSVDbrjqHqgR0z3OnEFeuGmJaZ97q6AQQvfghgLjfdwLfyL0UIIA4OJ4EEAIIAcRYEBFA9CZQxlR1P2tHAUQUEQi5X7Dog+N3I8NVIjq3YLmfr2QP9EFsfAIi78WZX44A4n7jzDdyLwUIIA6OJwGEAEIAMRZEBBACiI7HOANAdJ6T2Wy4AqIXPwSQzObZ7O/DpgABxMERJ4AQQAggxoKIAKI3gTKmqvtZE0CsjykBRC9+CCDu953AN3IvBQgg/47n/fsJuHL9JnI9kh3eXl7ao0wAIYAQQLTDRRkSQPQmUMZUdT9rAggBRNeruQVLVynaUQHXUeChAJDxsz/D0jWbkqhe6rliWD5riPq3HT8fQr+P5iIy6p76e3jfNmhSt7LWKBFACCAEEK1QMRsRQAggOh5DACGA6PiJ2BBAdJWiHRVwHQUeCgAZN2sF/rlwBQO6NjMrnyWLD/LlfgRR92LwesOe6N6uIVo0ehPbdx3E+8NmYtNnE1Ewf267I0UAIYAQQOyGSRIDAggBRMdjCCAEEB0/IYDoqkQ7KuBaCjw0AHLrTgTGDe5oob6sfnT9YCoObF4AX18f9XmtlgMVjLRo9BYEXp4qWggNa1ZUn/362wks+HQ95o3vq/4mgBBACCDGvtQIIAQQHY8hgBBAdPyEAKKrEu2ogGsp8NAAyOYde1GudAnkzJ4VVV4rjZeeL65GYvX67QhbtRHfLB9vHpkeQ6ajcKH86Nu5CboMmorSJYuhQ4s66nNZIRk2YRF2fjmTAJLIl3ME+SImNh6R0fGu5eEZ2BtOoKyLTwAhgOiEJeOHAKLjJwQQXZVoRwVcS4GHAkDWb96FM+cuIYuvD44cP43vd+7HlNCuqF65LBau+BrfbtuDtQtGmEdG8kGCAvwR2q+NXQAJj4x1rRHNoN74+Xoh/n4CYuPuZ1APXO+xXl4e8PX2QlT0f2fTu14v079HQf4+iLgXCySk/7Nd9YlZfL0gB2Ewfv4bIcaPdW+V+Ll7LxYJjB+zQNbiJ2vAgx0NbFSACrimAg8FgCSXftCYj3HrdrjaRuXoCkh4FCeXoq8CkPj7qhgU2wMFvD094OvjyVWhZA6R1d8bEVFx5I9Euvj5eEJChwDynyiMH1sA4o27jJ8k4liLH/meYaMCVMB1FXgoAWTagrUql2PZzMHqBCzJATm4ZSF8fB58YVVv1h8hjaupHBBuwdJzXm7BstSJW0is+w63YFnqYu0UH73Ic18rxo/1sWUdEL34YR0Q9/1u4Ju5hwIPBYBM/XgN6lWrgMcK5sPxU3+jba/xeK95bXRqVReRUdEoU7MTBnZrhuZWTsESALlx8w6G9g5BUIAfpi5YgwOHTzIHJJn/E0AIILpfiQQQvQmUrp7uakcAIYDo+jaP4dVVinZUwHUUeCgA5N1OI1Tuh6k1qPEahvUOgV8WX/VPW386AEk8N7WhvVqhWYOq6k8BkKvXb+H3k2fV31I/5Oy5SwQQAojdKOYEyrpEBBACiN3gAcD4IYDo+InYEEB0laIdFXAdBR4KABG5wyMicfN2OHIH54S/3wPwSNwkf+HS1RvIE5zDvBXLBCByClZI4+oqxyHAP0uS63gM7wM5uAJiGdScQBFAdL/quQWL8aPrK9yCpQfw3IKl61G0owIZo8BDAyCplTd5Dkjy+xBACCC2fIsAQgDR/d4hgBBAdH2FAEIA0fUV2lEBV1aAAGJndH7aewS5HsmuihFaawQQAggBxNhXHLdg6U2gjKnqftYEeOtjSgDRix+ugLjfdwLfyL0UIIA4OJ4EEAIIAcRYEBFA9CZQxlR1P2sCCAFE16uZA6KrFO2ogOsoQABxcCwIIAQQAoixICKAEEB0PIYAQgDR8ROxIYDoKkU7KuA6ChBAHBwLAggBhABiLIgIIAQQHY8hgBBAdPyEAKKrEu2ogGspQABxcDwIIAQQAoixICKAEEB0PIYAQgDR8RMCiK5KtKMCrqUAAcTB8SCAEEAIIMaCiABCANHxGAJI2gNIdPw9hMeEIzruHmLuRyMmLgbR96Ph6+ULHw9f+Hr7IotXFgR4ByHIN0hn2DLEhluwMkR2PpQKOKQAAcQh+QACCAGEAGIsiAggBBAdjyGApA2A3I2NwI171xERE47Y+7E6Q6FsPD08EeQThGxZcuARv2Dt69LDkACSHirzGVTAuQoQQBzUkwBCACGAGAsiAggBRMdjCCDOBRABjiuRlxARG6Ejf4o2vp6+yBOYz2VAhADi8JDyBlQg3RUggDgoOQGEAEIAMRZEBBACiI7HEECcAyCRsXdx6e4Fp4BH8h75efkhT0A+5PDLqTOkaWZDAEkzaXljKpBmChBAHJSWAEIAIYAYCyICCAFEx2MIII4DSEx8DE7f/hPR8dE6kqfKxhMeKJStMLJnyZGq651xEQHEGSryHlQgfRUggDioNwGEAEIAMRZEBBACiI7HEEAcA5CI2HCcvX0a8QnxOnI7ZOMBD+QLzI/cAXkduk9qLyaApFY5XkcFMk4BAoiD2hNACCAEEGNBRAAhgOh4DAEk9QAiKx5/3vwD8Qn3daR2mk3BoEJ4xD+X0+6neyMCiK5StKMCrqMAAcTBsSCAEEAIIMaCiABCANHxGAJI6gAk7n4cTt06kabbrmyNnweAJ3IUQ6BP+h7ZSwDRiSjaUAHXUoAA4uB4EEAIIAQQY0FEACGA6HgMAcQ4gCQkJOCv2ydxN/aujsRpYuPl4YViOZ9WtUTSqxFA0ktpPocKOE8BAoiDWhJACCAEEGNBRAAhgOh4DAHEOIBci7yCC3fP68ibpjZZfbKhSI6iafqMxDcngKSb1HwQFXCaAgQQB6UkgBBACCDGgogAQgDR8RgCiDEAkdWP328cgWzBcoVWNHsxBKZT9XQCiCuMOPtABYwpQAAxppeFNQGEAEIAMRZEBBACiI7HEECMAYirrH6Yeh3kHYQnchbTGWqHbQggDkvIG1CBdFeAAOKg5AQQAggBxFgQEUAIIDoeQwDRB5D4+/E4fvOYy6x+mHqeXqsgBBCdiKINFXAtBQggDo4HAYQAQgAxFkQEEAKIjscQQPQBJDLmLv68fUJH1nS1ye2fF/mDCqT5MwkgaS4xH0AFnK4AAcRBSQkgBBACiLEgIoAQQHQ8hgCiDyAXIy7gatRlHVnT1cbf21+diJXWjQCS1grz/lTA+QoQQBzUlABCACGAGAsiAggBRMdjCCD6AHL8xrEMqfthdxwTEvBMrpLw8fSxa+qIAQHEEfV4LRXIGAUIIA7qTgAhgBBAjAURAYQAouMxBBA9AJHTrw5fO6gjqV2b32Ku43D0deT18sObAY/ZtdcxeDxbEWTPkkPHNNU2BJBUS8cLqUCGKUAAcVB6AggBhABiLIgIIAQQHY8hgOgBSEx8DP64cVRHUrs2y8NP4NPw43g+SzDGB1ewa69jUDCoEB7xz6VjmmobAkiqpeOFVCDDFCCAOCg9AYQAQgAxFkQEEAKIjscQQPQAxBkJ6LLy4QFgS+Q/6v+e8MmOztmfVR0o4p0VQZ6pr2qeNyAf8gbm1xnyVNsQQFItHS+kAhmmAAHEQekJIAQQAoixICKAEEB0PIYAogcgt6Nv4eyd0zqS2rSpeWG9zc/G56qA532DU33/YL9ceDRroVRfr3MhAURHJdpQAddSgADi4HgQQAggBBBjQUQAIYDoeAwBhACi4ydiQwDRVYp2VMB1FCCAODgWBBACCAHEWBARQAggOh5DANEDEGdtwZKnyfar7/7dgtXp3y1YT3ALlo670oYKUAGDChBADAqW3JwAQgAhgBgLIgIIAUTHYwggegDCJHRE3WlZAAAbg0lEQVSugOjEE22ogKspQABxcEQIIAQQAoixICKAEEB0PIYAogcgcgzvkWsHkaAjqh0bSUb/Lfo68vEYXieoyVtQASqQkgIEEAf9gwBCACGAGAsiAggBRMdjCCB6ACJWJ2/+gai4KB1Z09eGhQjTV28+jQpkIgUIIA4OFgGEAEIAMRZEBBACiI7HEED0AeRixAVcjbqsI2u62gR4B+DJnE+l+TOZhJ7mEvMBVMDpChBAHJSUAEIAIYAYCyICCAFEx2MIIPoA4oxEdJ0xMWqTHjVApE8EEKMjQ3sqkPEKEEAcHAMCCAGEAGIsiAggBBAdjyGA6AOIWB67dhhxCXE60qabzZPZiyPANzDNn0cASXOJ+QAq4HQFCCAOSkoAIYAQQIwFEQGEAKLjMQQQYwByLfIKLtw9ryNtuthk9cmGIjmKpsuzCCDpIjMfQgWcqgABxEE5CSAEEAKIsSAigBBAdDyGAGIMQOQ0rOM3j0GO5c3wlpCAYo88A39v/3TpCgEkXWTmQ6iAUxUggDgoJwGEAEIAMRZEBBACiI7HEECMAYhY34q+ib/vnNGRN01tcmTJiceyFU7TZyS+OQEk3aTmg6iA0xQggDgoJQGEAEIAMRZEBBACiI7HEECMA4hccfr2KYTH3NGROE1sfDx9UCzn0/D29E6T+1u7KQEk3aTmg6iA0xQggDgoJQGEAEIAMRZEBBACiI7HEEBSByDx9+Px563jiI6P1pHZqTYeAJ7M8RT8fQKcel97NyOA2FOIn1MB11OAAKI5JuERkYiLj0fO7FmTXEEAIYAQQDSD6F8zAggBRMdjCCCpAxC56l7cPZy6dRzxCfd1pHaaTcGgQnjEP5fT7qd7IwKIrlK0owKuowABxM5YREbdw8BR87H1pwPK8vkSRTFzVE/keiS7+psAQgAhgBj7QiOAEEB0PIYAknoAkSvvRN/G2Tt/IUFHbCfYBPvlwqNZCznhTsZvQQAxrhmvoAIZrQABxM4ILFzxNdas345lM4fA388XXQZNRZHH8mPkgHYEkETa5QjyRUxsPCKj4zPap13m+ZxAWR8KAggBRCdIGT+OAYhcLSdinb79Z5pux/Ly8EShrIWRLcuDH+UyohFAMkJ1PpMKOKYAAcSOfu90GI7qlcugQ4s6ynLT9j3oEzoHR7YtgYeHB1dA/tWPAGLpSJxAEUB0v56tTaB0r3VXO8aP4wAid5CckH/Cz+JOzG2nu4oknBfJ/iT8vP2cfm8jNySAGFGLtlTANRQggNgZhzI1O/+/vTuBjqrI9zj+hyRAAhiWsAnCA1RcQI8roiICbxAQRRlBRVRANgdlxyARWQNGVllCZHVA9k0FUZTI9lCeOCrKQ2dEBZ6ssiVhD8ucKk/3hKRJ17U75Nble8/xeCDFvVWfqur0r2/dahkW/4IOIerY9q8d0rLTIPl8+SSJLV6UAEIAueQI4g0UAcT0ZZ4AQoA3HSvlS0XLgSMn5bzDtVVqZ6z9x/fJibPHTS91yXKFIgpJXHRZKVWktBQsUDDk84V6AgJIqIL8ewQuvwABJBdz9cVONeu3k+QRPaVenVt1yZ937JZH2ybI6gWjpUK50pe/x7giAggggAACf1Lg2Jljsjdjr6T/ia16C0cUlvLFykvp6NJ6BQAHAggg8GcFCCBB5NQdkMR+HaRRvTt1yex3QP4sPP8OAQQQQACB/BI4f+G8pJ9OlyOnjsjps6fl7Pmzcu7COf3/iAIR+r/IiEiJLBApsUVipWSRkhIVEZVf1eW6CCDgMQECSJAOVc+ANK5/t3Ro/bAuyTMggcF4BiSnC0uwAo8VHkLP6cISLOaP6XuLP7sEy/T8NpZjCZaNvUadr3QBAkiQETB1zgpZvGKd3gUrJrqwdIkfwy5YAcwIILyBMn0xJYAQQEzGCgE+sBIBxGz+XF062mSYUQYBBPJJgAASBP74iVPSZ8hkWb9piy5Zs0ZVmZDYXcrGldB/5ntA/gAkgBBATF/DCCBmb6BMPb1ajgBCADEd29wBMZWiHALuESCAGPZFWsZxycw86/8CQt8/I4AQQC41hHgDFViGAEIAMXnZZf4QQEzGiSpDADGVohwC7hEggITYFwQQAggBxNkkIoAQQExGDAGEAGIyTgggpkqUQ8BdAgSQEPuDAEIAIYA4m0QEEAKIyYghgBBATMYJAcRUiXIIuEuAABJifxBACCAEEGeTiABCADEZMQQQAojJOCGAmCpRDgF3CRBAQuwPAggBhADibBIRQAggJiOGAEIAMRknBBBTJcoh4C4BAkiI/UEAIYAQQJxNIgIIAcRkxBBACCAm44QAYqpEOQTcJUAACbE/CCAEEAKIs0lEACGAmIwYAggBxGScEEBMlSiHgLsECCAh9gcBhABCAHE2iQggBBCTEUMAIYCYjBMCiKkS5RBwlwABJMT+IIAQQAggziYRAYQAYjJiCCAEEJNxQgAxVaIcAu4SIICE2B8EEAIIAcTZJCKAEEBMRgwBhABiMk4IIKZKlEPAXQIEkBD7gwBCACGAOJtEBBACiMmIIYAQQEzGCQHEVIlyCLhLgAASYn8QQAggBBBnk4gAQgAxGTEEEAKIyTghgJgqUQ4BdwkQQELsDwIIAYQA4mwSEUAIICYjhgBCADEZJwQQUyXKIeAuAQJIiP1BACGAEECcTSICCAHEZMQQQAggJuOEAGKqRDkE3CVAAAmxPwggBBACiLNJRAAhgJiMGAIIAcRknBBATJUoh4C7BAggIfYHAYQAQgBxNokIIAQQkxFDACGAmIwTAoipEuUQcJcAASTE/iCAEEAIIM4mEQGEAGIyYgggBBCTcUIAMVWiHALuEiCAhNgfBBACCAHE2SQigBBATEYMAYQAYjJOCCCmSpRDwF0CBBB39Qe1QQABBBBAAAEEEEDA0wIEEE93L41DAAEEEEAAAQQQQMBdAgQQd/UHtUEAAQQQQAABBBBAwNMCBBBPd2/ojcs4dkLOnjsnJWOLG50st/Knz2TK74eOSkx0ESlVwux8Rhe9zIXOnMmUI2nHpGxcCSlQoEDQqzstH/SELi1w8HCaFI2JlugihYxq6LS80UldViic88fXtOMnTkn6sRNSLq6kFCwYfPy5jESczgen5d3WXtP6OJ0PuZVXr9mHDqdLuTIlTS/vynLhnD/nz1+QA4eOSGzxYsavUa5EoVIIeESAAOKRjgx3M06cPCXxw96WzzZ+o099y03VZcKwbhJXKjbgpYKVfy1puiz7aIP/395e63p9vhKxxcJd9Tw734ULF2TyrA9k0sxl+hoqRE0c3kNuval6wGs6KT92yiKZNvdD+WJFslxVLCbP2pAXJ961e790iR8jO3/br0/foukD8nqv5yUqMiLg5XIrf/hohtR97OUc/276mFfknttvyovq58k5g82H7Bc1Kb/uiy2SNGmu33nZjGFyfbVKeVL/vDipk/mgrh+svBonarxkP96fmSjXVq2YF03Ik3OGc/6o4DFi/Bz5ZN1mXdfixWLkpXYtpGnD2nlS97w6qcl8yHrtYOU3bt4q/RLf9o+X1o83lFdfbmNlgM8rc86LwOUWIIBcbnFLrqfeDC9avlZmT0jQnxa92G+sVK1cQYa+0j5gC4KVf3v2crn/7lpyffVrZO/+g/JM12Hy7BONpFObRywREflm60/S5qVEmT2hv9S6oZqMn75UPkz9QlYvGBPwF5lpeRXMVEBTh40BpFPfUVKsaLQk9uso+w4ckladB8vrPZ+TRxrdG7Bvcyt/6Ei6PPB4N0lJ6i2VK5b1//uycSWt+tQy2HzIDhOs/NrPv5Wu/cdJx2eaSfOH7tN3JAsXLmSViel88NkEK///ew6I+lTbd2z71w7pM2SyfLZorFWf/Idz/ixesU6SJs2TVfNG6g9I1GvL8PFzZN3ScfrOsy1HsPngZP6oO0X1WnTXc6dTm2by296D8nj712RY/AvyeJO6tpBQTwQ8J0AA8VyXhqdBT3QcKA89eJd+0VbHqrVfSq9BybJ1zcyAy46clM/MPCsNWvaUl9u3kFaP1g9PhS/DWUanLJQftu+UaaP66qsdOHhU6j/RQxZPHSw3XlclRw1Mym/+9kf526vjZEjfdvrNk20BJC3juNz7SFd5d2KC3FbzOm2Q+NZs2XfgsExI7J7DJFh5XwBZMWuEDry2Hk7mg2pjbuXVz1u8MEBqXFtZ3ujfyVYSMZkPWRvntHyX+NFSpnTJS35I4ka4YPMhe52DlU9+5z15f9VG+eDvw6VwoShRd1eaPBMvn8wfJRXLx7mRIGCdwjl/1mz8Rl5+bbx8vnySxBYvqq+nQpqymTS8hzUmVBQBrwkQQLzWo2Fqz11NuuhPiFQIUYf6dLFlp0EXvYhnvZRJebWWe8b8j2Tdpi1SpnSsDO/XUX9ybsuhAkLJ2GKS0P1Zf5VvfrCtJI/oKfXq3JqjGcHKqyVL6hftuCEv6fX8zdslWBdAft6xWx5tmyBrl4yTMqVLaIPZiz/Rb4JUMMt+BCvvCyAN7rtNYq8qppcYNW98v/+Ngy1jxWQ+mM6fc+fO62VpyiTz7Fk5fuK01LnjJmn/dFMpUtjseRs3uAWbD9nr6KS8CvJte7whn84fJVdb9EY72HxwOn/Um2p1d1ktlVV3lz9a87/6zodtwTWc8+e7bb+ICqebViTrJWnqmLssVea/l6qDGgcCCOSPAAEkf9xdfVW19rpm/XYXvbH2/aJcvWC0VChX+qL6m5Y/eeqMJLwxTX7cvlPUkpoR/TtJhbKlXG2RtXJqqUSN6pWld5dW/r9WvygH9WkrDze8J0c7cit//121pFXnQfJ8q8ai1iNv/3W3lQHEt0wm66eLC5evlZRZ7+ulMNmPYOWPHT8pb01brMeHegBVLSFRb6YWpAyUQoWirBgrpvPB15hg5Y+mH9NBtWWzB+Xeu2pKesZx/QmuGnNq7NlyhHP+ZJ1vyu+pLkPk9luul/iuT9vCoesZbD44nT/qNTY+MUVOnDwtv+zcI/t/PyLjh3aThnVvt8Yl2Hxw+vsnJqaINHu2n1xXtZI82by+pGWckHnLVosK9gQQa4YFFfWgAAHEg50ajiapN9aJ/TpIo3p36tOZ3AExLa9+wXTsO0rKlyml77LYcqhPZNW66v7d2virHOwOyKXKnzp9Wi9pe67lQ6L2MTqcliHLP/lcnmzeQFo2qxdwSZcbnXzBdN3St/wbFJjcATEt/+uuvdLsuVdlXvIAvRGCLUc458+efQd1ANnw3gT/7nFLV66XERPmypcrJxvtxOYGt3DOn6x3HFdv+Id0HzBBso4pN7TXpA7hnj9qM4st236WGWPi9UP8sxatklEpC+S9mcP0G3BbjnDOH7XsSt1tnjpnhf5/xQpxsu2fO+SaimVZgmXLgKCenhQggHiyW0NvlHrD07j+3dKh9cP6ZCbPgDgpP3z8u/LLrr3+5ylCr3Hen0GtSf/nz7tkysg++mImz4BcqnyhqEhJ/Z+v/ZVWD0rOWbpaOj/7iP5ku/p/2bGLT6A16UPHzpIDB48YPwOSW3m15ezdTbvIjLHxUvu2G/O+k8N0hXDOH7XlrnrOJmsIW/jBGhk85u/y/WczrdnJJ5zzx/fMldr16dHn+0uTBrX1M2W2HeGeP092HnzRnSD1kH6tBu30phDqww1bjnDOn+xbpasds1TA6fdSa70RCgcCCOSPAAEkf9xdf1X1aZHaUUXtghUTXVhvs5p1F6x3Fn4sqRu+1jtCqSO38mpZzZR3l+sdRypdXVbfTenQe6QON+oNty3Hf3blSZBaN1bTS4VWpm7y74Kl1qGrpTGjB/5NqlQql2XXrMDls7bb1iVYqg0d+oyUq4oV1XfMsu+CpZZRteuZJC883VS/SQxWXm01q+4O3XPHzXob33FTl+hlWKsXjrbqOZBwzh9lptawqzeT6nmhg4fTpe+QyXoppPqzLUdezB/fnSDbxkfWPgvn/FGhdPX6r2TOpAFyzdVl5NP1/5CeAyda9xB6uOePerbsquJF5dCRNJkwfams37RF7xRm085gtsxz6omAqQABxFTqCiunPnlWSybUC7U6ataoqj/RVl++p46RyfNFrfXf/FGK/nNu5dXPnu8+Qn74aadf8bHG9+vvilA7tdhyqCUNE2cuk5RZH+gqq19eU0b29u/+tObzb+Sl/m/J0ulDpUb1a/QSiNzKeyWAqGVSKqD+tvd33STVt4N6t5WoqEhJSz8u9z7aVV7r8aw8/VhD/fPcyn+6/ivpP2KaqE8p1aGWsI0c8KLcc4c93wESbD44nT+qvLLt8fpE/xxSd4PeHNDlkt/L48Y5FWw+OJ0/6otN/7tVL72M0bdbnxvbHaxO4Zw/R9OOybipi+XD1E36suqDkLatGkuzv9QJVg1X/Tycv39Uw5SJCjXqqFu7lgzu096qrZpd1TlUBoEwCRBAwgTp1dOoJQJq29xLfQFh9nbnVl79UlGfQMWVKqHvqth6nDp9Rg4fSZfyZUsbLX9xWt5WF/XAq9rVrGiM2fcNXKq871uclYPpt8271Syc80e1US37i4yM8D8L4tZ251Yvp/PBaXkbTVSdwzV/1LnUHFLLOtVzdjYf4Zo/6qF89btHvWZf6gtSbXai7gjYKEAAsbHXqDMCCCCAAAIIIIAAApYKEEAs7TiqjQACCCCAAAIIIICAjQIEEBt7jTojgAACCCCAAAIIIGCpAAHE0o6j2ggggAACCCCAAAII2ChAALGx16gzAggggAACCCCAAAKWChBALO04qo0AAggggAACCCCAgI0CBBAbe406I4AAAggggAACCCBgqQABxNKOo9oIIIAAAggggAACCNgoQACxsdeoMwIIIIAAAggggAAClgoQQCztOKqNAAIIIIAAAggggICNAgQQG3uNOiOAAAIIIIAAAgggYKkAAcTSjqPaCCCAAAIIIIAAAgjYKEAAsbHXqDMCCCCAAAIIIIAAApYKEEAs7TiqjQACCCCAAAIIIICAjQIEEBt7jTojgAACCCCAAAIIIGCpAAHE0o6j2gggEFgg49gJ2fztjxJdpLDUufPmiwqdPpMpG7/8XqRAAWlw3205TvD19z/J0bQMqXlDNSkbV+Kin3+37Wc5eDhN/13BggX1z2+4tooULFiArkAAAQQQQAABBwIEEAdYFEUAAfcL/PDTTnmi40Bd0WUzhsn11Sr5K7105XoZ8OYM/efvUmdIRERB/89OnjojdzbupP/c/qmm0rtLq4sa223AeEnd8PVFf1elUjlJSeollSuWcz8MNUQAAQQQQMAlAgQQl3QE1UAAgfAIZA0gzf5SR5ISOusTnzt3Xpq2iZff9v4eMICsWvul9BqULDVrVJU9+w/KmiXjJDIiwl8pFUB+P5Qm85IHSGbmWflm63bp2n+cVKtcQRa8/Ufg4UAAAQQQQACB4AIEkOBGlEAAAYsEfAGkQ+uHZdrcD+WjOUn6DoW6e6FCxHMtH5JZi1bluAPyYr+xopZvdW37mHToM1KmjOwj991VM2AA8f3l2CmL9DW++niKRBcpZJESVUUAAQQQQCD/BAgg+WfPlRFAIA8EfAFE3ZV4ZWiK1L79JhnY63l5svNgufPWGlKyRHFRwSHrEiz1bEe9Ft11uRYPPyD1/9pD7ru7lrzR/48lWerIegfE93dDxs6SBe9/JltSp190tyQPmsUpEUAAAQQQ8IwAAcQzXUlDEEBACfgCyOKpg+XH7bvktaTpOkj0Gz5FUheNkRWffpEjgMxZulqGj39XNrw3QUqVKC4jk+fLOws/li9XpkjRmCL+ALJn3yH9zEda+jHZuHmrJE2aJ080qyeD+7QDHwEEEEAAAQQMBQgghlAUQwABOwSyBpDqVa6Whq16yeGjGdKy2YMyqE9bvWQq+x0Q9dB6VFSkJCX8ccdj6487pO/QyTq4PNLoXn8Ayf4QeuvHG0rPTi0lJvqPkMKBAAIIIIAAAsEFCCDBjSiBAAIWCWQNIDdeV0VmL/5E3pg4V1a+myRq16rsAWT7r7ulebuEgC1U2/hOG9XXH0B27Nonbw7oIjHRhaVCuTiJivzPQ+oWEVFVBBBAAAEE8lWAAJKv/FwcAQTCLZA9gKjv/tiz76BUrVxBXyp7ABk/fYm8PXu5vD8zUd8F8R1LPlwn0+et1Mu2ypcpFfAZkHDXnfMhgAACCCBwJQgQQK6EXqaNCFxBAtkDSPamZw0g6mcP/rW71K19iwx/teNFRXft3i9NnomXvi8+JW2fbEwAuYLGEE1FAAEEEMhbAQJI3vpydgQQuMwCvgCyZNoQueHayjmunjWAfPt/2+W5bsMlJam31K1dK0dZtXPWmcxM/YWGgXbBusxN43IIIIAAAgh4QoAA4olupBEIIIAAAggggAACCNghQACxo5+oJQIIIIAAAggggAACnhAggHiiG2kEAggggAACCCCAAAJ2CBBA7OgnaokAAggggAACCCCAgCcECCCe6EYagQACCCCAAAIIIICAHQIEEDv6iVoigAACCCCAAAIIIOAJAQKIJ7qRRiCAAAIIIIAAAgggYIcAAcSOfqKWCCCAAAIIIIAAAgh4QoAA4olupBEIIIAAAggggAACCNghQACxo5+oJQIIIIAAAggggAACnhAggHiiG2kEAggggAACCCCAAAJ2CBBA7OgnaokAAggggAACCCCAgCcECCCe6EYagQACCCCAAAIIIICAHQIEEDv6iVoigAACCCCAAAIIIOAJAQKIJ7qRRiCAAAIIIIAAAgggYIcAAcSOfqKWCCCAAAIIIIAAAgh4QoAA4olupBEIIIAAAggggAACCNghQACxo5+oJQIIIIAAAggggAACnhAggHiiG2kEAggggAACCCCAAAJ2CBBA7OgnaokAAggggAACCCCAgCcECCCe6EYagQACCCCAAAIIIICAHQIEEDv6iVoigAACCCCAAAIIIOAJAQKIJ7qRRiCAAAIIIIAAAgggYIcAAcSOfqKWCCCAAAIIIIAAAgh4QoAA4olupBEIIIAAAggggAACCNghQACxo5+oJQIIIIAAAggggAACnhAggHiiG2kEAggggAACCCCAAAJ2CBBA7OgnaokAAggggAACCCCAgCcECCCe6EYagQACCCCAAAIIIICAHQIEEDv6iVoigAACCCCAAAIIIOAJAQKIJ7qRRiCAAAIIIIAAAgggYIcAAcSOfqKWCCCAAAIIIIAAAgh4QoAA4olupBEIIIAAAggggAACCNghQACxo5+oJQIIIIAAAggggAACnhAggHiiG2kEAggggAACCCCAAAJ2CBBA7OgnaokAAggggAACCCCAgCcECCCe6EYagQACCCCAAAIIIICAHQIEEDv6iVoigAACCCCAAAIIIOAJAQKIJ7qRRiCAAAIIIIAAAgggYIcAAcSOfqKWCCCAAAIIIIAAAgh4QuDfRp70hljPRt0AAAAASUVORK5CYII="
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# For this plot `MAP` and `Serendipity` metrics were chosen in interactive MetricsApp widget\n",
    "# Metadata colouring was enabled\n",
    "\n",
    "fig = deepcopy(app.fig)\n",
    "fig.update_layout(title=\"Original MAP and Serendipity winning models\")\n",
    "fig.add_scatter(**get_leader_scatter_kwargs(\"MAP\", \"MAP\", \"Serendipity\"))\n",
    "fig.add_scatter(**get_leader_scatter_kwargs(\"Serendipity\", \"MAP\", \"Serendipity\"))\n",
    "fig.show(\"png\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "751fbe05",
   "metadata": {},
   "source": [
    "Choosing a model from pareto-optimal decisions sounds reasonable but it doesn't give a researher one single optimization goal for hyper-params tuning and final model selection."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "784e9526",
   "metadata": {},
   "source": [
    "### Debiased MAP\n",
    "\n",
    "Debiased variant of metric (like debiased MAP) can serve as a single optimization goal for hyper-params  tuning and best model selection.\n",
    "Models that are selected based on debiased metric value can be quite different from those that optimize origial metric (like MAP) and also quite different from those that optimize Serendipity.\n",
    "\n",
    "On the picture below the red-colored `bm25` model has the highest debiased MAP value. It could be declared a winner based on this level of downsampling of test interactions."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "d125ac60",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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AzFfU9Wq9nrzKxKhauY/U6r4M6No94s9ff1Kry1qAyKD8XZ8WppWXOUs3qNXN2lVKYXCvZoqyNQEikz1ZsdYxErJLVteBE7Bt1yGsmTsM77z9lnJVkgmxZbC2rJbLape4P+mgRBlQZWKT3N9PPVN/lCTotE/H+mpA/qrFQDVBmjGql2n1Tf5euVH4ZNYeAdK4Vjl8VK2jWvWeNaY3ytXrhexZM6oyCCtrAkR/ZPesn6J2iZm2YC0mzvkVg3o2Q52qpUwtMioBogNw5V1F6ESVxM2kx+Ap+KZbY9T/sizkA/hhlQ7qHeUjtWf9ZMVdi6a54/qhWKF3TbytCRD5EH/duREypE2pWLbpNVqtnC+eMtBk7dLvJ1aNVg2qKLc++biJyJVn66D86ASIiNahfVua7jll3mpMnrdaCV8RwJL0B9hy9Vtia6TebQXB6km4sPiud3NloZF2vnzdDgwZM08x+r5vSxULI3/XnMYN6aT+JklvNvDjwHaoXPZD9Tex3HzZ/Bv139tXjlO7vulVe1l1n/h9V5Oro57MmgsQo30vNgSIvKNsIFH58xJqQiXxPy17/KgsgtNG9jQ0Oko9rt30F6b/vE4JUrlnszrl1SpvmlSRXU3MJ92hYWEqmLxzi6+UC6IIA9n4QK6VTRosBYi4sUh/k4WDJVMGqvI16zZCTbBk0iUba+gU1aR7/MyVmLlovWpHeiHF2otKn5S+aSnGWnQfqdq8XtQQ8S4Tv/ULfjBZAoXJsrXb1MYCWqxae4YjLOR+RscSR1lYK7u4gUqfkH7eqXkNk4uuLLz8uuH/TP3PfMw1ryPZKapKk68jiEf9PjJZblTzC7W4ItbvOm0Hq7alBZ21sUN+l35q7t4k3wi5Vib6Ywd3UK9hpL702Ckusv061le7Acp7DBkzX73bxGFdUebjQnb1a3OGR06eV3F28hxJMi6IVfrDwsZj+mRRJ13qFBE2dBHrv1igB/VoqvqQJPOFGtnsI3OGtKjSpJ9a+Fs1Z6iynEgyOu4Y4Wdo4GAmEiABhwgkCAEiBLQ4kEmbDEj5yzRX/y8r2274zxVjyvzV6qOsJ6tRxYCIi8cH5duoe2xaMkpBtiZA5O8iOi5eEbO5uGE9UduSygqnXhmTj7189GWFedS37eGfNEmkShP3GXEzkYmg7Oql07MXL9VERgeqnj5/FV+1HKisMmKdMU/2xoCIBaRTixrQPs+yuiRWGC1srAkQsXTIc8xX/fVuV5auKlqASNkb1fwcMvn69/xVFTMiyVxAWWvF4p5UqmY3NTEWLrLqJnUgK4niWqTrUFZvZVXrwO8z1MQ4OgvI6rnfR1jNXrJ6K74fvxBjB3dUVic9KbK2k424zchEfMcv49XENDoBYrmrmq63BjXKYkDXxqrN6Da64eeREXYZM+qDrgWI+eREyi8CQoSkCFuZfOqkV851GWRCUrBsS6ttSQsmvfKq310sPVL3OlnGgJi/l62+FxsCxPLd9WJEmlT+EK62kkzkxdVKhKX0dbEIVPniowgWA8t7mE+6ZROF6s0GQNzYRADK5G7Xmklwc3ezKkD0goK5ONY7PHVs9iU6NPvS9Dj9HJmIFS34Lu4/fKwElqxCi0jauGhktC561iwlum2Y919xGRNLmfkquy1u+ndHWNgzljjKwtr7FK3YTtX7/62aEMFd1rL/iTtsvXZD1IT4m66NI9xKrCIyLh3aPFNN8qPaBUsvaOlYOWtjh76xWGbFhU7GP7FYyPhkbiEzUl/t+41T1g/5dmVI+99uadJ+RDBrd2Wj/Tqq9iDeByLiRDhIkoW8Hu3qKOFtNN28fR+Xrt5SQk08A8RVWb5FIuJ00otW0kdlgUzezby92jPuGOFntOzMRwIkEHMCCUaAaJce+RDcf/QUn9fpES0V2TZWLBLRBaGLn7W4SR3bNletrloTIH/s/EetNsuHwjLpVSbxsS1TK9wdQpKszhbM+w5qVvrMtNqlXYuiKrS48shuVXrCJxMlcaEwTzEVIHqiIvcSYaPjQawJkOkL16nYE1nx1RN2uU7M4fJ+5i4b5rttmZdT3mVY31Zq1cxWMn8ncaOSj93mpaPwSfXOEOuN+LCLX7L4Is8b30/dzh4Boncs0u1Bro9qEqHraMvS0ciYPrVdAkQmqNImteuY/re1XZQcFSCPHj/Dx9U7mYSbZiwf+M++6moSJlEJFcmv25mIJREs2s1u97rJEQS0pQDR7xVdvWrWr0OAyHNla+Sg4GDVX2ylvKXCrZvSJqf/2DOCOI3qWvNJt7RhcSMRa5YkHQ+it5a1tIBo64NYGMWvXZLUi1hBZHIlAe16swzzHabMyyLWSrF4GfG/18+TiajcXwSXWFC0y6XcV2KEvh01Rz1CXJE+KJAbpT8uhNIfvW914w7zsjjCwp6xJDZYmJdb9wVrVljL/me+q1lUbUKPCVGNHSIaJVZRuxFZEyDSZsRCoa0K5s8yFyBG6kv6gHYls1ZmPQ4Z7dfR9SOxTK/dvMu0K6LlpiNRXSsiq++wGSaXUfN82uJv/jdt+ZO/idVKvkE62TPuGOFna9zg7yRAAo4TSBACRCa+IkDkwyyTUL0iL6sxtc1cgsxxiauOfMCNCJDj2+eqD7GlANETXVmNFEtCgTzZ8Vb6NNj61z9q1UoLEHmubB0sQYkbtu5VpnidtDuMdoWRQdVa4LE8Q1w89OAprjWWW8zGVIBIWeQsB5lMmrvSWBMg+oMVVdMz99PVAkSb5xN5e6ndgqILrLa8r5jjZXVNhI1MpmTFWWI/Og/4CYdPnMMvs4YqH3rhpgPB7REg2lXBiADRJv6YCBAdbKs//Fr0WQved1SA6Mmvthxppg8fP1XCTVtGdD8xj2vRecWK16n/T6YJk6wWW9vgwFKA2NP3nEGAiIvh/BWbIK5kksSXX87FKfb+u1FOvi0n3a8Cg5S4lHFIrBIyrlgTIOZBvFH1H3HLEvcsSfo5shr8SbH8yt0xU8a0dh2Ot3HbPvT6bqrqH20bVzW5EW7/ZXyErbWlz4g4EWutTjJ+/jz5myg3iTAvowgq6edGWci19owlscHCnLl2n7I2Wbbsf9pCJf2mSIHcVqtOxmYZo20JkN7t66FZ3QpWFy/090XaoIwT2TKlR8oUyVClcT81ZprHCNmqL23d0XFyloWWrcOLFMwNo/3a2kuLiFr/x27MWvSbKWi+dcPK6psbndue3Esvksh/i9iQcTBTxjR48vQ5arcZrP4mLsfmSdyaZdyX9F3vFqhZ+VPTz/aMO3KRLX6OT614BxIgAVsEXF6AiMuF+MyLS452YdDuU5YuQdZgRCVAdLyBxApoVydLAaInx+JrLlYNnbSbhbkAMX+2rL7JTkLicqV9wbXLi62zMXR5u7aqiTaNqkZ4JUcEiJi+t/zfP2hVv5Lp9HBLASI7b8nHQcpc7tPwGAKdAgIDIRNKc9ew6ILQbTVM/bvsVtX5mwlqJx+ZIOmVW/PDBuXvCyb0N+2K5QoCRLdRmbTs+21qhN1d4kqA6FVYLdzN6+Q/17QOyv9c+7ZbbhpgKUDs6XvOIED0O8vZN4tXb1UuiJJkxblVwyqqnZufkSO/WQoQ+ZsE7t+5/1DFjEmyJkAWrtyMEZMWK8vruzmyROgC5y5dV2OYiB99pkxUcQ9G+47kk/oo+WUXJPXzUVtli6XScrdA8/uJtVbiQcTaKK5FttwkY8rC3rEkNliYv6d2X7S2SYBl/9NxRbLDorCLLkUlQHR/0i6MlhYQvThg7VBTWVyzFCC6DFHVl/5WWW5AYFl2o/3a8vsl9TF32e8m10UZnyUOS1xgjSTzcd38sFi9MGMpQKR/Vm/+jVoEkdgPcZ0zd6e1Z9xxpL0beTfmIQESMEbApQWIrDiqyeeKTcr3dO74vmoVSpIONDN3NdBI5MMqq5SpUiSL0gKize4Nv/pc7aYkyVKAyMqirDDOHtvHFHwnfvU/Tl4C2d1FCxAJJJSB0zzAVD4cEtshA6nsqqV9XEU0zR3fL8Kqo+Q5cuK8WmHUbjMy0ZcAbvE7lqQDh+3ZhlfHgETVVCwFiD4fxDIOQF+vP2b6wxAbAsR8pUyec3DzTIglRQfz6mf/s2mGabtQVxAg5u1Jgkv1NpISjCyCWtwnjAahW8ZBGLWASBl0HZvv9iZtuHbrQcr9UJ9xMWj0XLVlpvl5L+J3Le540gfNLWdG+54zCRDdjoTdL7/9qYSIjC+y45dsNS1WIp2sTbot+5A1AaJZ6w0wzK/R+c03V4itSbdeKBEXLGlX2oKnny9jnWwdbr4dtt6dSrYXFreyqFJMWdg7lsQWC/P3ENdN88Bw+U3GWrH8iSVI9z8tDqRuJFDf/PBH6QM7dh9CmU/C46KsCRDZcld2mpNV+q0rxiJ9mpSRLCDijlSt2YBIWz7rOBlzFywj9SX9UlzcrLnqymRe2pu4n9nTr0U0jZi0SI0DkuRb1aJeRXxW4v0IMWxGph56owzLuCdtsTMXILIrm8RtyG5islmIWEna9R2r3AVXzBhiCmI3Ou4Y4WfkHZiHBEjAMQIuJUD0Segy+RQrgnYXkA+rDEwiKHTSu4fIv2Uv+3zvvq2C+mQ7RZnsy+RdBmBtUZB7iNlbPg4y8ZKgQUnm299aChAJpv5u3ALlW131C9lpC5CYELlekhYgerAVE76cXZHY2xt/7j2ixIv5qpqYl8XMLOJCypLE1wf/nrus9nEvlD+naatXHTgoHwA5V0K2UpXgV0n2bsMrrmNRJXMBIoH8pWp2VZMyHexteZ2etGhhExsCRJ6hY3EsdxGTYEqpS8tVTFcRICI2xPdfkkxqnj57qSZAOsWFANHCV9qNrO4m8UmsduCSviX9ZmD3Jqo4Oohe/lvOq0jim1i1Vb3lr7kAMdr3nFGAaPbiSiTukiKuUiZPZvUcEO12ZK3/WAoQ7fIjG1GIVcFa0tvz6vvG1qTbvO6s7Q4mbjhS/19W/ERtES6LGSLAZKXZVqB7TASIWJftHUtii4U5d22VkL5Xq0opPHv2Auu27DbF6pn3v0W/blGbdYgIEZc42ZpY6vTPPYfVeK+3ZteLMLJ7mHyvZPL864adavJsvmuZpQVERIoIIhlfxXXyvdzZcPbCNWUVk2QuQIzUl1h4Kjbso+4n7k0S0yPPOPbvBeVuqDdBsKdfaxdC2cBAzrmS709Mk36u8JRzPNKnTYX9h0+ZtjY2FyDaIiWWEn2mjRbV5t8Eo+OOEX4xfS9eRwIkYJyAawiQ/20rql9LBi3Z5UYCgWWwLvdZ0Qhb+el8MuiPmLjYtGe5/rtc07dTAyVY9ARMVlP02R+ST0TFuCEdI+xvbilAZKV40Ki5po+EXCfuSe++k0W5aUwa3lUdIBVVOcRd4+suDdWKviQxI8se63OWbIwwEZWySXyDHGYlSQRY90GTIvhrq/38/9ijPjK2tuHVq222XAq0AJFtZ2Xbxcadw3egMj/V3Lyp6Q+U3jlMP8dajIHxJgp1UJjsjPLT0M74vOQHpkt1PIz5h0l+3PvPSbTs+aPabUoCqCXpAEa9NbK+iY4BMV/Zj8qNQm/b+cfysWobXz2J+OLTIqbDKXV7Mt9GUp6lY0BkJx35TSfhuuiXLWr3l8xvpVXtRaxd4nduGfBtyez5iwAUq9QuwhadkkfijUpU6RBp22dtTbKsQ3Gj6v/DrAhtTiZZXVp8ZbKwyX0tg3GlXX5SrABkcvZDf9nuOrx9SjLS9ybPXYUp89fg19lDTdtfR9UuLPteVO8u14srokxy9e519rQ1y7yywn3+8vWI54D8bzyKzl1S14E+LFAHf1se2Gj+PN0WdRvRCxcxOdPE8j30xNiyD0k+2W5cztsxF79St3Lwm62NInQZ7WFx8NhZu8eS2GSh2cj4PW76CnWAp076PA8JGjc/4V5cfWUhaNTUpRFi+FTcR/XSph2bNGdtbdL3FfHRpVVNk5XJ2tghXGQLd/MNTcRCIK5OmTKkNsWAGK0vGXPGTF+mdvvkcRYAACAASURBVAg0T7JgI2OmjjUy2q9FlMsBqZaH4sa0f0mbk7g6nbQQlHFBFjlke3LZTVKEuZR55ujeJkuLlEV2JhPxZx4PaWTcMcovpu/F60iABIwRcAkBYuxVos4lE/sbt+/DJ5E30qROHiH40vwqmTRcv3lXnXsgHxC9G42t58tAL9aVVCmTKQtKVEk+Orfu3Fc/y4pPVP6y8rETC48IDRmUk/r5Wr2lPFfcAySgUIsYW2Xl785PICoB9DpLLhNtcc+RviITjKjak6zoXrx6C/7JkkTb1nVZjfa91/luvLdtAjLmyFk38j+xhqRK4R/jk+RtP825cjx99kK1fVnQsrZFumVpxbp1595DFWgti1jWvhMigOWEbxHKcsCo+UGQ0b29TKz1Qphs2BHdN8JofYnQkq1upY/L98Tayfb29uvYqkH55l67cQc+iRMpTrLbZGwkW+POm9zeY4Mv70ECsUHgjRAgsQGK9yCB2CYge+iv3bQLRd5/FxnTpcKLl6+w5ve/1K5Meovh2H4m70cCCZWAWCjv3n9s6PX6dW5gSEAbuhkzkQAJkAAJ2E2AAsRuZLyABGKHgD7gzPJu4vYy5tsOysrARAIkYIyABEeLNcNIki3Mk/v7GcnKPCRAAiRAAq+BAAXIa4DKW5KAEQLi9iAi5MKVG2riJC4dcspvwf+dA2HkHsxDAiRAAiRAAiRAAq5GgALE1WqM5SUBEiABEiABEiABEiABFyZAAeLClceikwAJkAAJkAAJkAAJkICrEaAAcbUaY3lJgARIgARIgARIgARIwIUJUIC4cOWx6CRAAiRAAiRAAiRAAiTgagQoQFytxlheEiABEiABEiABEiABEnBhAhQgLlx5LDoJkAAJkAAJkAAJkAAJuBoBChBXqzGWlwRIgARIgARIgARIgARcmAAFiAtXHotOAiRAAiRAAiRAAiRAAq5GgALE1WqM5SUBEiABEiABEiABEiABFyZAAeLClceikwAJkAAJkAAJkAAJkICrEaAAcbUaY3lJgARIgARIgARIgARIwIUJUIC4cOWx6CRAAiRAAiRAAiRAAiTgagQoQFytxlheEiABEiABEiABEiABEnBhAhQgLlx5LDoJkAAJkAAJkAAJkAAJuBoBChBXqzGWlwRIgARIgARIgARIgARcmAAFiAtXHotOAiRAAiRAAiRAAiRAAq5GgALE1WqM5SUBEiABEiABEiABEiABFyZAAeLClceikwAJkAAJkAAJkAAJkICrEaAAcbUaY3lJgARIgARIgARIgARIwIUJUIC4cOWx6CRAAiRAAiRAAiRAAiTgagQoQFytxlheEiABEiABEiABEiABEnBhAhQgLlx5LDoJkAAJkAAJkAAJkAAJuBoBChBXqzGWlwRIgARIgARIgARIgARcmAAFiAtXHotOAiRAAiRAAiRAAiRAAq5GgALE1WqM5SUBEiABEiABEiABEiABFyZAAeLClceikwAJkAAJkAAJkAAJkICrEaAAcbUaY3lJgARIgARIgARIgARIwIUJUIC4cOWx6CRAAiRAAiRAAiRAAiTgagQoQFytxlheEiABEiABEiABEiABEnBhAhQgLlx5LDoJkAAJkAAJkAAJkAAJuBoBChBXqzGWlwRIgARIgARIgARIgARcmAAFiAtXHotOAiRAAiRAAiRAAiRAAq5GgALE1WqM5SUBEiABEiABEiABEiABFyZAAeLClceikwAJkAAJkAAJkAAJkICrEaAAcbUaY3lJgARIgARIgARIgARIwIUJUIC4cOWx6CRAAiRAAiRAAiRAAiTgagQoQFytxlheEiABEiABEiABEiABEnBhAhQgLlx5LDoJkAAJkAAJkAAJkAAJuBoBChBXqzGWlwRIgARIgARIgARIgARcmAAFiAtXHotOAiRAAiRAAiRAAiRAAq5GgALE1WqM5SUBEiABEiABEiABEiABFyZAAeLClceikwAJkAAJkAAJkAAJkICrEaAAcbUaY3lJgARIgARIgARIgARIwIUJUIC4cOWx6CRAAiRAAiRAAiRAAiTgagQoQFytxlheEiABEiABEiABEiABEnBhAhQgLlx5LDoJkAAJkAAJkAAJkAAJuBoBChAHa+zG/ZcO3iFhXJ7czxuBQSF48SokYbxQLLxFIi93+Pl44f6TV7Fwt4RziwwpfXDr4UuEhSWcd3L0TfyTeCEoJAwvAoIdvVWCuZ79x3pVpk/pgzsPXyKU/ccEyFr/yZjKJ8H0Bb4ICSREAhQgDtYqBUg4QAqQyA2JEyjrnYsCJDIXChD2H6OfIgoQY/2HAsRoi2I+EogfAhQgDnKnAKEAiaoJUYBQgBgdXihAKECMthUKEAoQo22F+UjAmQlQgDhYOxQgFCAUIPZ1IlpAjE2g7KOa8HJTwFuvUwoQY/2HFpCENybwjRIWAQoQB+uTAoQChALEvk5EAWJsAmUf1YSXmwKEAsRoq2YMiFFSzEcCzkOAAsTBuqAAoQChALGvE1GAUIAYaTEUIBQgRtqJ5KEAMUqK+UjAeQhQgDhYFxQgFCAUIPZ1IgoQChAjLYYChALESDuhADFKiflIwLkIUIA4WB8UIBQgFCD2dSIKEAoQIy2GAoQCxEg7cUUBcvvuQ3QbNAkDujZCvtxvG3rNQaPn4q30qdGmUVVD+Z0t0/MXAShWqR3+/PUnpE7pH+/F+3PPEUxbuBYLfvoaXl6eNstz9OR5/DBpMSYM7Yw0qZLbzM8MtglQgNhmFG0OChAKEAoQ+zoRBQgFiJEWQwFCAWKknbiiALly/TYqNuyL2WP64MMP3jP0mvU7DMU72d7C0D4tDOV/FRiEwuVaY/jXrVG9/MeGrnmdmZ49f4nildtjxy/jnWICv2rjTnwzcjb+2TQDiRN523z1XfuPo03v0di0ZBQyZUhjMz8z2CZAAWKbEQWIAUY8ByQyJE6grDccChAKEANDCth/KECMtBMKEOuUAl4F4oPybfB935aoUbGkUZSvLR8FyGtD67I3pgBxsOpoAaEFhBYQ+zoRBQgFiJEWQwFCAWKkncSWAHkZEIjWvUahUtkPceDIv9i57xgypE2Jnu3qKpehn2atxKHj51CiyHtoWb8yCr6Xw1S8dZt3Y87SDThz4RpyZc+kfq/yRQnT74+fPMePU5Zg858H1N/y5s6G/Yf/jWABuXztNkZPXYq9B08hcSIvlCxeAL3a10PK5EnVNfZaQDr2H48duw+r1XrtMtStVS2Mn7USfTrUQwGz8m/ctg+LV23F5B+64eKVmxg1ZakSLWIlOHT8rHIT+6ZbY+TPk930TsJn+sK16nd5RvUKn6B1wyrw8vSwWm1GBMiRk+fVs+tVL4Ola7apexd9/11817s5jv97CfOX/44LV26qsjWvWwEZ0qVSzwoKCsbUBWvw2x97ce3mXRQvlEfVm3DW6ezFaxg5eQn2HDihmGZMlxrHT1+MYAGJ7p2MWECWrdmGfYdOoUSRvFj86x+4dvMe6lQthaZ1KiBt6nC3LXn+mOnLIfX94mWAai/N61VEtXLhVqqYMpBr7a0To/3rdeWjAHGQLAUIBQgFiH2diAKEAsRIi6EAoQAx0k5iS4A8ffYCH1bpoB5ZtdxHSmCs3bwb4vsvqVaVz5A7RxasWLcdISGhWDt/uPr7b1v3os/Qafi4aD5UKF0Mv2//GzJZHTWwPSqVLY7Q0DDUb/+dmuzKPYoUyI29B09i9e9/mQTInXuPULpWNxTOn0tNWB88fopZi9arCfS0kT1jJEBWrN+BwaPnoXLZD1Eof051j+rlP0H5+r1Q4oO8+HFgO/W3sLAwVG82AFkzpcPEYV2xc99RtOs7Fr4+iVH/yzJwc3NT4kTS9pXj4JfEx5RHOH1e8gPFaPaSDejZrg5a1KtktdqMCBD9bLlBy/qVkC5NCkxbsBYPHj1V5Wlc6wskS5oEk+euRs3Kn6JfpwbqWfKe8r7CN0/OrFiwYpOa4P+++EdkzpgWd+8/Qqma3dQ9ZLKfPk0KrNr4Fw4eO2MSIPrZUb2TEQEydvpyxUHKXadqaXh4uGP8zJVKmHVrXUuVddOOv5XIfD/vO8r1a9uug1i/ZQ8WThyAwvlzmtjay8BW+Y32pbjMRwHiIG0KEAoQChD7OhEFCAWIkRZDAUIBYqSdxLYAGdC1MRrUKKseLavRDToMNYkJ+Zue6G1dMRbp06REpUZ91cR25cwhpuLWaPENJAZjw88jTflHDmhrsopYxoDIqv/ydTvw56/j1b0kiQVg6LgF+L9VE5AqRTK7LSBRuWDJhH7inF9NweD/HD2DJl2Gm8SQfr+184YhR7a3VFlk1b5Vr1FKtIigkfcTq8qMUb1M79xj8GScu3jdJMws684eAfLr7KHInSOzuoVYlsZMWw7NW/42bsYKJfQkHkOLNxE+IoAkPXr8DB9X74SGX32O/l0aqfyzFv+GLUtHI2P61CqPZQyIrXcyKkDkvpuXjoFP4vC4ErG6/LnnsGoL5kmE35OnL3D/0RNUbfI1erWrq8SR5m8PA7mvrfIb7UtxmY8CxEHaFCDhABkDErkhcQJlvXNRgETmYu0cAweHJpe/nP3HehXyJHRj/cfek9C1BURbLuQpV2/cQYUGfZQVomTx/OrBJ89cQu02g7FkykDkfieLCvRu1aAyurepbSqYXgk/tHkmFqzcrCbAWkhIJksB0qzbCOWSJav3Okl5xJ1oxYzBeC9XtlgTIHrCLivysjLf67up6p1+WzhCWTv0BPiP5WOVC5qkJ89eoESVDujaqiaa162I979opdyY0qUJ/12Sdik6sWOe1YZrjwAxf/bazbvw9fCZ+HvDNCTxDRdnC1duxohJiyHPEpenFt1HYtrIHsptTadarQfBJ3EiLJzYXwWP37rzIII4MhcgHu7uNt/JqADZtGO/EkY6zVv+u3Ir01wePn6K0VOXKXc8ccHSqWPzGujQtLpV/rYYiAtaTOokvj8SFCAO1gAFSDhACpDIDYkTKOudiwLE2ATKwaHJ5S9n/7FehRQgxvpPbAiQG7fu4Yt6vSIIkH/PXUHNVt8qASIWAtlaVibm5tvjSjzCpDmrcOD3GSpOYuai9Tj8x2xTfISlAKnbdgjcPdzVBNQyFcz7DpL5+caaAJH7i+jYd/Aklk0bpN5vUI+mqFOttHq0NQHy+OlzfFS1I3q0raPiM+Sda1cphbIlC1sU180k1CzfI6YCRNyT+g6bHkGAiEvYsJ8Wqkm9xD206ztGCQ1xYdNJRJ1YoaSehK9/siQRLDbmAkRc6my9U0wFyKJft2D4hEUmASKxPNdu3EG/zg2R/923kTplcuUWV7/G51EKEFsM9BbH9tZJfH8kKEAcrAEKEAqQqJoQJ1AUIEaHF1pAKOCNthUKEOcRIBLIXfLLzkqIzBvfz1Swxp2H49LVm9i5eiKWr92OIWPnmywZkslSgAwYMQt7/jmB3xaONLnuSD5x0xGrhCR7g9CDQ0JQsGxLfNu9CepWLxMBmna7kgBoCZSWrXG1dcGaANnyfwfQ7dtJmDS8K0p/VEi9c9H382Ds4PCYGZ3MyxtXAkQsL+IG16lFDbRvEi7gZEOBIhXaqO2HZRviHoOnqNiLo1vnqLgMSZYuWLbeKTYEiBZhYi0Tq5lO8mxHBIjcx1b5jY4vcZmPAsRB2hQgFCAUIPZ1IlpAjE2g7KOa8HJTwFuvUwoQY/0nLiwgIkDEuiGBxm0bV1UB2Vv/OqgCp/Uk89bdByhbu4dyrxIriUzS5ZpTZy+b4i7kv8Vl6NMPC6Jdk2oq0FssLXOXbsSs0b2R3N/PbgEilMQy8Ox5gDrwUKwYRQrmhqeHhynw/PzlG2hWpwJ6d6hngqoFiFg7Piz8ngrUnrtsowqYXjNvuLLiaAuEBIpL0HZgYDAOnzgLOdzPPC7EvKZelwVEniHxKafPXUHnFl8pt7j5yzcpwfHzpAEolC+ncnfqPmgSvvi0COpWK43L129j8txVKrhdnwNi651iQ4BIWaWexeVLdukKCQnBLxv+D7ILWXQuWLYsIHJfW+V3xi8EBYiDtUIBQgFCAWJfJ6IAMTaBso9qwstNAUIBYrRVW7Mg2itA9ATZPAbk5u37+LxuTzWpll2uJJ0+fxVftRyIpVO/VdvSBgYGYfS05RBXG50a1yqHHm1qw9vbS/1JtuntN3yG6fcvK3wSvgvW2D5qki9JJv7fj1+o4j50kriTcUM6K6uIvRYQuYcEj/8wcRFEaEjav3GaKchdB6NvXDQSWd5KF0mAyE5OcmK7JBFaIwe0MeUTlyV534lzVkWIYxBBIsLFWjJyErplgL/cR+8yZl52cxcsySNxLf2GTVfxIDqZn38i5R05eTEW/fqH+lniV2RnsK07D+Lg5plI5O2ldjaL7p10IP7mpaPVifTWknlwvP5dnjl8ws8mFywRMt+NnW+qZ9muWQSGtuDElIGt8hvtS3GZjwLEQdoUIOEAGQMSuSFxAmW9c1GAROZCFyz2H6OfIlpAjPUfewWIUf5R5RO3n1t37iN92lQR3Kh0ftmVSgSNTF61MLF2L7FUiBhKk9I/2nz2lFcm6En9fCOUS3ZNkrJOHdE9wq1MLljLZCenRHBzd4N/0iRWHyfWnHsPHiMsDGqnLu3eZE/ZYjOv7H715NlztdOVWHosk7CVM1nk3BJ393DXNssUF+8kz7h09RZSpkgWJduYcomL8se0bJbXUYA4SJIChAIkqiZEAUIBYnR4oQChADHaVihAnFOAGK0/R/PJ4YK9h06L9jZirRn/Xaco8/x96F807z4igmVHZ7YWA+JomXk9CVgjQAHiYLugAKEAoQCxrxPRAmJsAmUf1YSXmwLeep1SgBjrP3FtAYmrHiiuNoFBwdE+Tlb3xa0oqiQ7dB0/fQFTfugRyRIgp4+PmLhYnYouJ8AzkcDrIkAB4iBZCpA3WICEhMD92TO4vXgOt8BXQGBQ+P+HhSHMyxveSRLD1z8JHgR5IDRZMsDT08HWljAupwAxNoFKGLUd87egAKEAMdp6YiMGxOizmI8ESCB2CFCAOMiRAuQNEyDBwfC4fw9uT54o4RFd8vZ0h28iTzx6HqiyhSX2QVjSpAhNnRph3okcbHmuezkFCAWIkdZLAUIBYqSdSB4KEKOkmI8EnIcABYiDdUEB8oYIkJAQeNy5Dff794CQEEOtxlKAmC5yc0NoipQITZfujRQiFCAUIEY6EAUIBYiRdkIBYpQS85GAcxGgAHGwPihAErgAEeFx7y7c790FgqP3u7VsSlEKEJ3RJETSI8zb28GW6DqXU4BQgBhprRQgFCBG2gkFiFFKzEcCzkWAAsTB+qAASdgCxOPmDbjfuR2jVmJTgPzvrqHJ/BGSNRvgHn5Ca0JPFCAUIEbaOAUIBYiRdkIBYpQS85GAcxGgAHGwPihAEqgACQ2Fx+VLcH/yOMYtxKgAkQeE+fggJFv2N8ISQgFCAWKkU1GAUIAYaScUIEYpMR8JOBcBChAH64MCJGEKEM9LF+H2+JFDrcMeAaJFSPA7uRK8JYQChALESMeiAKEAMdJO3nQBsmnHfhQpmFsdBBgX6eKVm7hz/xGKF8oTK48Llt0k3dwjbQccGhqGB4+ewMvLM8rD+uQQRL8kPkic6M1xYY4V6E5yEwoQByuCAiThCRD327fgceumgy0DsFeAKBGSPAWCxR0rAScKEAoQI82bAoQCxEg7edMFSN5SzbBgQn98UCCXUVyQSX/Bsi1xYsc8w9fojAtWbIIchjhnXF+7r7W8QE6Pr9t2MNo0qooqX5Qw/bznwAl0GTgRL14GqL8Vff9d9GpfF/lyv63+vWv/cUyauwrXbtxBwKsglCjyHob3a63ECJPrEKAAcbCuKEASlgBxf/wIHpcuOtgqwi+PiQCR60LSpkNohoyxUgZnvAkFCAWIkXZJAUIBYqSdOIsAufcAuP8gTBU59ztuRovucD5XFSCjpy3D3KUb1fuPHNA2ggDZe/Ak7t57hE9LFERAQCC+GzcfYhGZOqK7STx1alED7RpXw8uAV6jVehBqVfkMLepVcpgnbxB3BChAHGRNAZKABEhICLz+PWn3bldRNaGYChA5yDA417sI8/V1sHU65+UUIBQgRlomBQgFiJF24gwCZMuOUCxb9d/27JnfckPvzp7wjYUF+UePn6H91+Nw7uJ1hSNv7mz4unND5M6ROfzfZhaQvf+cxLgZK3Dhyk2kSeWPGhVLonXDKpEw2rKAHDhyGt+NnY+bdx6oa0t/9D4GdGusXKEsLSCLV23Fz79sxt37j5E1Uzp0al4DpT5632bVyXsFBAaiQYeh6NGmTgQBYnnxus270W/4DBzZOhuBgcEoWrEtvu/bUr2fpP4/zISHhweG9mlh87nM4DwEKEAcrAsKkIQjQNxv3YTH7VsOtoj/Lo+xAAGgdsZ6O3uslcWZbkQBQgFipD1SgFCAGGkn8S1AXrwEuvQLilTUqhXcUb2ih9FXiDLf46fPsWrjThTOlxPe3l6Ys2SDEhgrZw6JIEBEmHxQvg3aNq6KymU/xKWrt7H34AkM6NrYbgFy/PRFnL1wDXlyZlUWhkGj5ipR0aNtnQgC5NDxs2jUaRjGDu6A7Fkz4tDxcwgODkGDGmUNv3f5+r3RucVX0QoQER8iwPQ7j52+HLOXbEDzehVVGUdMXIQZo3qp/2ZyHQIUIA7WFQVIAhEgYv04eRwIDXWwRcSOAEnIVhAKEAoQI52MAoQCxEg7iW8BcvpsGEZNinxGVK4cbujTxdPoK0SbT2Iljp46j0tXbuLYvxeVINHxG9oCIhaR4pXbo0vLmmhc6wv4+iSO8p62LCBy4d37j3Dw2FncufcQm/88gGRJfTF5eLcIAkRiNVr1GoVpI3uqOAxPD/sFly0Boq0fs0b3RokiedU7iYtW7++mosB7OVQ8ysdF82HUt+2jDFaPlUrgTWKdAAWIg0gpQBKGAIlt64dQccQCItcnVCsIBQgFiJFhlwKEAsRIO4lvAXLlehi++zGyAPmomDtaNLR/Qm75zrLy37z7CCT181XB2K8CgyCTcksBIkHo4g417KeF6haF8uVEt9a11A5ZlsmWANm4bR96fTcVhfPnQp6cWXDmwjUkTuSlhIa5C1ZQUDB+mLQYy9ZsU48oX6oYerStjUwZ0hitOkQnQCTYvE3v0RjUoynqVCut7ikWoY+qdlRB8LIT15Xrt9Gp/0945+1MyhLD5DoEKEAcrCsKkIQhQDzPnYXb82cOtoaIlzsqQORgwqB8BQC3uAtojFUAUdyMAoQCxEg7owChADHSTuJbgMjzf5wQjDPnwwPQderdyRO5czo+do+cvASnzl7G7DF94OHhjiMnz6u4CWsCRJ4d8CoQp89fxfzlm7D/8Cns+OUndZ15siVAqjXtjwpliqND0+rqsjlLN+DvQ6ciCRB9z8dPnisLjbhG5X4nC0b0b2O06qIUIJt2/I0eg6dEiPWQm+7cdwzt+o7BrjWTkNzfTz1HRNHEOauwf+M0w89lxvgnQAHiYB1QgCQAASLuV8ePOtgSIl/usAABEJw9B8KSxs3+7rEOgALEMFL/JF4ICgnDi4DIK6mGb5LAMlKAUIAYbdLW+k/GVLEQAW6wABIHsmtfKE6fC0XqlG4olN89VsSHPH7y3FXYvvtw+A5QwSGYPG+1VResjOlSYc2mXahbvTT8k/ph6ZptKiB999pJ6iwNewSIxHXkzJ4JPdrUxrWbdzF49DykSO4XSYDs3HcUT569QJmPC8PD3Q3fjJwNPz9ffNu9iU1yIoLCQsNQpcnXaNekGqp8XsJUTnkPCSzv16kBynxS2HSvFP5+ePj4GcrV66XEkWzf+/JVIDr0G6csRMKIyXUIUIA4WFcUIK4vQNwePYTn5UsOtoTXI0BCU6VGSKbw3U4SSqIFJHJNUoBEZkIBQgFidMyLbwFitJwxySc7UXUe8JOygkgqWTy/sgKYW0AWTuyPzBnTomnXH3D52m2VTwKyJbj7sxIFIz3WlgVEXJ/6DZuOB4+eqlgSiS/RE/yFKzdj+65DygVKdt3q/M0E03kdEosxuGczZEyf2uarinVDrBzmaf2CH/B2lgz4btwCk1uX+e965yu5buHKLcrSI6ncZ0XQueVXSJ8mpc3nMoPzEEiwAkT2jL5z/yFSp/Q3FBgVXX7prHLipqj1tKlTRDBnUoC4vgBxv3EdHnfvxHqvjA0LiGzFG5wzsg9vrBc2Dm9IAUIBYqS5UYBQgBhpJ5InIQsQzeDGrXtI7p8Uvj6JosUiFomQkBCk8E9qFJ/VfDLvuXn7PtKnTQUvz6hjWcLCwnD/4RMlVHTZnj57oc7tsJrcEGvB4hIonyxpEiTy9nLoXXlx/BBIkALkzz1HVACVPkVzUM9mqFO1VJSEo8svwVWixnVKlyYFJnzfxXQiJwWI6wsQj8uX4P7ooWM9MOAFvLauhMfpo8CrFwjNVRD4rAp8s76NR88DY3zvMG9vBOcJ3/kjoSQKEAoQI22ZAoQCxEg7eVMEiFEWzpBPXLau3bprtShenp50lXKGSnKCMiQ4ASLb1X1aowvklMyGX32utmjrOnAiNi0ZZXVnBlv5ZbcJCXT6oEBudQJnryFTlB+mmB8lUYC4vgCJjQB0rz9WwGP/9ohdOn0mJO402CEBIgHoQQVsH+rkBGOJ4SJQgFCAGGksFCAUIEbaCQWIUUrMRwLORSDBCRCxZnT4ehwObZ6pDu2RVKlRXyVGGn71RST69uYXy4qYFvV2bxQgCUCA/HsSbq9eOdQzEy0aB7crZyPdI/H3sxwTIED4Tlgx2F/doRd6jRdTgFCAGGleFCAUIEbaCQWIUUrMRwLORSDBCZDl63Zg3rKN2PDzSBNpCeDKljkDerarE4m+0fxrN+/Ctr8O4cyFqxg7uCPefSeLutfNBy+dq0bjqTT+SbwRGBSCl4Eh8VSCmD/WMxYEiPfPUQuQxy9isi4PAAAAIABJREFU7oIlb5XQBEj6FD64/eilnLXI9D8CyXzDd8F6+Yq7YOlGkcjTHUl8vPDgqWOLAwmtkaVL4YO7j14iKhf7hPa+Rt7HWv+RhQ4mEiAB5yWQ4ATIrMW/4fftf2PlzCEm6mK18PP1weBezSLVhNH842euxD9Hz6hTQYf2aYlihd5V9+IkKhypPqrCJXmcOQM8fepQLw1cvwSBu/6IcA+PDJnh23VwhDYScuFfBUt+Q2Jf2890dwcKFbKdz4VySFtxyXbyGhm7dP95XVzcADlFgW0lImD2n8gNzlr/SWDHJ72uXsb7kkC8EUhwAsSoRUMTtzf/9IXr8PMvm7Fz9UR1C7pghZNM7hduAXnxyvUsILEWhP7HSnicOQK8eomwtJngljwlEjfpgicXzsP7lxkIrNkG3nN+ULwCG3ZDaJZcNjs+g9BtIkoQGbgNb+RqpAuW9aadPqUP7jykBcSczpuwC1aCGOj4EiRgRiDBCRAd03F4yyzToTbl6/dGk9rloo0BMZp/858H0H3QJBzZOltt70sB4voCJLa34XW/cgbei8YrMB7vFULI+dNqZywk8gUCnisLiGEBksQPwe/kTFCDFmNAIlcnBQgFiNFOTgFirP/E5UGERuuO+UiABP4jkOAEyIuXr1C0Ylv07VgfDazsgiX7UzfvPhIt61dCxTLFYSv/lHmr8XGx/OogHtnrWty5fBJ5cxcsi17kyhaQ13EQodf6BfA4tjcipZTpgAfhh0SFpcukBElourcQ9HntKMekkDRpEZrxrQQ1ZlGAGJtAJahKj8HL0AJCC4jRZkMLiFFSzEcCzkMgwQkQQbtt1yF1cqhO33RrjPpfllX/fPzkOT6q1hHmf4su/4ARs7D6979M9yqULydGDGhj2tKXFpBwNK4sQBASAq/jR2O1V7rfvmpytwpXHGH/BcqYPyntWwguWjrSs0Oz5UFoshQIzp4DYUmTxWrZ4vtmFCAUIEbaIAUIBYiRdiJ53mQBsmnHfhQpmBupUsTNd+LilZu4c/8RihfKY7R6osz37PlLPHz8FCmTJ0MS38QR8sluow8ePVGeLP5Jkzj8LN7A+QgkSAEimENCQnHr7gOkTZXc5IoVHf7o8gcGBqkOJ4HsciaIeaIASQACBEBsnAWi24USH4t+Cne7Mk9JkgLPw4PdJUYEiX2Axw/g9vh+pKYZVKcjQnLmD98BK4FFU1KAUIAY+RRSgFCAGGknb7oAyVuqGRZM6I8PCtiOKdQ85UyzgmVb4sSOeUYRm/ItWLFJna+mz0Kz+waAOiS6YcfvcebCNdPlDWqURb9ODeHh4Y49B06gy8CJpsOki77/Lnq1r2s6ADomz+Q1zkcgwQqQuEJNAZIwBIj77VvwuHUzVppNuAAZr4LRvWo2R8CZU8odSwWm374aIQbEe/lkuJ8/YVWABH3wCUKyZouVMjnTTShAKECMtEcKEAoQI+3EWQTIi5fAqInB+Pwzd3xc3N1o0R3O54oCRCwf85b9juoVPkbGdKmx+8BxtOs7Fgsn9kfh/Lmw9+BJ3L33CJ+WKIiAgEB8N26+On9t6ojuDvPiDZyHAAWIg3VBAZIwBIhyw/r3JBAcO+cwiAjxuncDPsVKqoMIPXf+plytEo/rpYDpIPSoBEhg7Q54VakW4JPw9rKnAKEAMTLsUoBQgBhpJ84gQLT4uHo9/HCj5g08Yk2EPHr8DO2/HodzF6+re+fNnQ1fd26o4lLVv80sIHv/OYlxM1bgwpWbSJPKHzUqlkTrhlUiYbRlATlw5DS+GzsfN+88UNeW/uh9DOjWWLlCWVpAFq/aqnYGvXv/MbJmSodOzWug1EfvG606le/8peuo1mwA1swdhnfejhzzuG7zbvQbPsO0+Y9dN2dmpyVAAeJg1VCAJBABAsD97h143Agf5GMjeXu6wzeRZ7QnoUclQF617IfAL6rHRjGc7h4UIBQgRholBQgFiJF2Et8CxFJ86DLHlgh5/PQ5Vm3cicL5csLb2wtzlmxQAkOfdaYFiAiTD8q3QdvGVVG57Ie4dPU29h48gQFdG9stQI6fvoizF64hT86seBnwCoNGzVWiokfbOhEEyKHjZ9Go0zCMHdwB2bNmxKHj5xAcHAJxpzKSrt28i+Vrt+OPnf+gUpkP0alFDauXifgQAWZ+vpuR+zOPcxOgAHGwfihAEo4AkUBxZQUJdOzkct2kHBEgL/uORnChjx1snc55OQUIBYiRlkkBQgFipJ3EtwAZ8mMwtOXDsrwdW3qiUAE5TtOx9DIgEEdPncelKzdx7N+LSpDo+A0tQMQiUrxye3RpWRONa30BX5+IQd3mJbBlAZG8d+8/wsFjZ9Xhy3L8QLKkvpg8vFsEASKxGq16jcK0kT1Rosh76mgCe9Kps5chZ6v9c/Q0PivxPgb1aBopZldbP2aN7o0SRfLac3vmdXICFCAOVhAFSAISIHKi+7Nn8Dx/1sFWEX65EQHieWA7cCei1SU0WVIE1WiK0Ixvx0o5nO0mFCAUIEbaJAUIBYiRdhLfAmTXvlDMXRz5AN5MGd3Qp4snfB30opWV/+bdRyCpny8kGPtVYBBkUm4pQCQIXdyhhv20UGGTHTu7ta6ldsiyTLYEyMZt+9SRAxKPkSdnFhUsnjiRlxIa5i5YQUHB+GHSYixbs009onypYujRtrZpl1Cj9SdWns/r9MTA7o1Rrdx/C2+79h9Hm96jlTCpUy3ybpFG7898zkmAAsTBeqEASVgCRN4mtlyxjAgQy+YXljwFghNg4Ln5e1KAUIAYGXYpQChAjLST+BYg8nxLERJb4kPuPXLyEoilYPaYPmqHqCMnz6NBh6FWBYjkD3gViNPnr2L+8k3Yf/gUdvzyk7rOPNkSINWa9keFMsXRoWm4G/CcpRvw96FTkQSIvqccbyAWmrHTlyP3O1kwon8bo1VnylepUd8IMSubdvyNHoOn4Pu+LdXfmRIeAQoQB+uUAiThCRB5I4/Ll+D+6KFDrcNeARLm44Pgd3IB7nG3g4pDLxjDiylAKECMNB0KEAoQI+3EGQSIuQiJTfEh9508dxW27z6sdoCS+IrJ81ZbdcHKmC4V1mzahbrVS8M/qR+WrtmmAtJ3r50Uya3JlgCRuI6c2TOhR5vakDiNwaPnIUVyv0gCZOe+o3jy7AXKfFwYHu5u+GbkbPj5+eLb7k2irTqJHTl19go+L/kBkidLgt+27lXX6u2E5T36/zAT/To1QJlPCpvulcLfL1rXMqPthfmcgwAFiIP1QAGSMAUIQkPhee4M3F6+jHELsUeAhHl4IDjXu4C3d4yf5yoXUoBQgBhpqxQgFCBG2omzCBApx6GjYcid081htyvz95adqORgZbGCSCpZPD927jsWwQIi29dmzpgWTbv+gMvXbqt8EkDeucVX+KxEwUgYbQkQcX3qN2w6Hjx6qib8El8iLmAighau3Iztuw6pc0Bk163O30wwndfxcdF8GNyzGTKmTx1t1R07dQEdvh6n7q9T34710aR2efXP78YtMLl1md+I1hCjPcI18lGAOFhPFCAJVID8r1143LwB9zvhA7q9yagACU2aDCHZ3k7wlg/NjwKEAsRIX6IAoQAx0k6cSYAYLW9M8t24dQ/J/ZPC1ydRtJeLRSIkJAQp/JPG5DGma0Sk3Lx9H+nTpoKXZ9TB5WFhYbj/8IkSKrpsT5+9UOd2WE1uUNv5ynWPnjyDnAli6xkOvQgvdloCFCAOVg0FSMIWIPJ27g8fwOPqFcguWfYkmwLEzQ2h6dIjJF16e27r8nkpQChAjDRiChAKECPt5E0RIEZZOEM+cdm6duuu1aJ4eXryQEFnqCQnKAMFiIOV4OoCRHaclbP3vL0AT6+Yw0ju543AoBC8eBV5N5CY39V5rnQLClKWEPcH9yHuWUZSlALEzQ1h/v5KeIQldnCLFCMFcbI8FCAUIEaaJAUIBYiRdkIBYpQS85GAcxGgAHGwPlxJgDx/Djx/5oZnz+SoCzerx10kTgQk9glDEj8gadIwwyEJCV2AmJpJcDA87t2F+727kNPTo0uRBIhYPFKkRGi6dAjzjt6M7mCzdOrLKUAoQIw0UAoQChAj7YQCxCgl5iMB5yJAAeJgfTi7AHn1Crhzxw1PHrvZmi9bJSEx0SlThiFV6jBEd8bQGyNAzCi5BbyE+6NH6uwQgesWGhJuThILiZcXvBJ5wjdJYjwM8URo8uQIE1XHBAoQChAj3YAChALESDuhADFKiflIwLkIUIA4WB/OKkDEterWLTc8fuRmb+iCVSKenkDq1GFInSbM6i6xb6IAsdV0OIGyTogChALEVt+R39l/KECMtBMKEKOUmI8EnIsABYiD9eGMAuT+PeDGdTeEwc3Bt4t8uVhEsmYNhY9vxN8oQCKz4gSKAsRoB/RP4oWgkDC8CAg2ekmCz8f+QwFitJFb6z8ZU7158XVGeTEfCTgDAQoQB2vB2QTI9WtuuH8/9oWHOSZ3tzBkzhoGf////koBQgFitCvRAkILiJG2QgFCAWKkndACYpQS85GAcxGgAHGwPpxFgEg89OVLEmD+esWHxuXmBqRPH4Y0acO3pqUAoQAx2pUoQChAjLQVChAKECPthALEKCXmIwHnIkAB4mB9OIsAuXbVDQ8exI34MIkQQFlCkicPowCx0o44gbLeuShAKECMDLvsPxQgRtrJmy5ANu3YjyIFcyNVimRGcTmU7+KVm7hz/xGKF8rj0H3ML5aDDCXF1TvEWsF5I4cIUIA4hA9wBgEiB3XfuuXu4JvE7HJ3NyDHO6HIkDZhnwMSEzqcQFGAGG03jAGJTIr9hwLEkf7zpsSA5C3VDAsm9McHBXIZxQU55bxg2ZY4sWOe4Wt0xgUrNmHH7sOYM66v3deaXyAnpc9e8hvkfg8ePVUnqe/fOC3SPf/ccwQdvh6HKT90x2clCjr0TF7sXAQoQBysj/gWIE+fApcuuMO+M7odfGmLy728wlC0sBdCwxLuQYQxIcYJFAWI0XZDAUIBYrStpE/pgzsPXyI0Pgd9o4WNo3zxGYT+/AVw7XrkyvD1BTK/9fq9ElxVgIyZthyrf9+Jdk2qo2KZ4ggMCkL6NCkjtJjT56+iUadhePEygAIkjvpSXD6GAsRB2vEpQOS4iX9PuSE4+PUPcrYwZc3kiQwZKUDMOVGAUIDY6jf6dwoQChCjbYUCJDKp+BQgp86EYczkyLvX5cnlhp4dPY1Wa5T5Hj1+hvZfj8O5i9dVnry5s+Hrzg2RO0fm8H+bWUD2/nMS42aswIUrN5EmlT9qVCyJ1g2rRLq3LQvIgSOn8d3Y+bh554G6tvRH72NAt8bwT5pEWSzMLSCLV23Fz79sxt37j5E1Uzp0al4DpT56P9r3vnv/EUrV7Ibv+7ZUZbSWJE/ddkPQo00dDBk7H6O/bU8LiMOtybluQAHiYH3EpwB5cB+4di1+XK8ssSXz9UTO3CEIksP4mBQBChAKEKNdgQKEAsRoW6EAebMEyOOnz7Fq404UzpcT3t5emLNkgxIYK2cOiSBARJh8UL4N2jauisplP8Slq7ex9+AJDOja2G4Bcvz0RZy9cA15cmbFy4BXGDRqrhIVPdrWiSBADh0/qywUYwd3QPasGXHo+DkEB4egQY2y0TbnrTsPosvACahXvQzOXLiGRIm8UK3cR6hW7mN13cuAQDTr+gNKFi+ATi1qoGjFdhQgRgcIF8pHAeJgZcWXAAkLA07/64bAwPi3fgjCpL5eSJ4iGClSU4DoJkUBQgFidHihAKEAMdpWKEDeLAGiJ+RHT53HpSs3cezfi0qQ6PgNbQERi0jxyu3RpWVNNK71hYqpiCrZsoDIdWKBOHjsLO7ce4jNfx5AsqS+mDy8WwQBsufACbTqNQrTRvZEiSLvwdPDw1AzXvTrHxg+4WclLnJnz4zTF65i0pxV+HFgO1QsXRy9vpuq7iNWD3d3NwoQQ1RdLxMFiIN1Fl8CRGI/Ll5wDuuHFiChoSHInisYskUvEy0gUbUB7oJlbAL1pvchCnjrLYACxFj/iasg9NftgiWuV827j0BSP18Uff9dvAoMwrrNuyMJEAlCF3eoYT8tVIAK5cuJbq1rqR2yLJMtAbJx2z4lAgrnz4U8ObMoK0XiRF5KaJi7YAUFBeOHSYuxbM029YjypYqhR9vayJQhTbTDlwgQuWbt/OGmfP2Gz0BAQCD6d2mE0rW6oVaVz5DkfyJq/opNygIjFpLypYq+6UNjgnl/ChAHqzK+BEhcHDhoDxqxgAQFhyBDpmAkTWrPlQk3LydQ1uuWAsTYBCrh9gxjb8b+QwFirKUACTkGZOTkJTh19jJmj+kDDw93HDl5Hg06DLUqQIRXwKtASPD2/OWbsP/wKez45Sd1nXmyJUCqNe2PCmWKo0PT6uqyOUs34O9DpyIJEH3Px0+eQyw0Y6cvR+53smBE/zbRVp3e2erwH7Ph5RluNRHBI+5eowa2w8+/bIlw/U+zfkGVL0qgyucllFsWU8IgQAHiYD3GlwA5ecI5gs81Pi1AkiQNwVuZuD2LcOEEigLE6PBCF6zIpNh/KEAc6T9xZQG5fDUMy1dHdj3OktkNdb805pIU3XtOnrsK23cfxtQR3VV8xeR5q626YGVMlwprNu1C3eql4Z/UD0vXbFMB6bvXToKXV8RgeFsCROI6cmbPhB5tauPazbsYPHoeUiT3iyRAdu47iifPXqDMx4Xh4e6Gb0bOhp+fL77t3iTaqpNrytbugaa1y6N90+qQmBMRVRKvYi1+hDEgRnuCa+WjAHGwvuJDgLx4Dpw75zzuV4JQC5Dg0BC8l5cChAIk6o5FC0hkNhQgFCBGP0V0wTLWf+JKgBitt5jmk52oOg/4SVlBJJUsnh879x2LYAFZOLE/MmdMi6Zdf8Dla7dVPgkg79ziK6s7R9kSILv2H0e/YdNN53NIfIm4gIkIWrhyM7bvOqTOAZFdtzp/M0Ftkyvp46L5MLhnM2RMn9rm60r8SJeBE03XivDo26mB1TgSChCbOF0yAwWIg9UWHwIkNne/unEjPGDDO1EYUqeKOQwtQAICQ/Fe3lB4Or77YMwL4yRXcgXXekVQgBibQDlJM463YrD/WEdPAWKs/yQUAaLf9sate0junxS+Pomi7ZNiXQgJCUEKf8d8oUWk3Lx9H+nTpjK5SVl7cFhYGOQkcwl612V7+uwF5KBBq8kNajtfSfKM23cfIoW/X7RB8/E2CPHBr5UABYiDeONDgMTGyeevAoG16z1w//5/AIp8EIYihUNjRMRcgOTKHYrEUW/AEaP7u+JFnEBRgBhtt7SARCbF/kMB4kj/SWgCxCgLZ8gnLlvXbt21WhQvT09lSWEiAQoQB9tAfAgQsVrcu+vYVlNHj7lj997I96j1VUiMLCHmAuSdd0LhG77A8UYnTqAoQIx2AAoQChCjbYUWkMik4jMI3Wi9MR8JkEBEAhQgDraI+BAgVy674dEjxwTI7j3uOHo88j2qVQ5Fxoz2x3CYC5Cs2ULh7+8g2ARwOQUIBYjRZkwBQgFitK1QgFCAGG0rzEcCzkyAAsTB2okPARIbW/AeOOiOA/+8HgHydvZQbsXLXbCi7FmMATE2gXJwaHL5yyngrVchBYix/kMXLJcfAvgCCZwABYiDFRwfAuT2LeD2bcd2wbp3H1j5a8QtApP6haFhfcdjQHLmCoWPj4NgE8DlnEDRAmK0GdMCQguI0bZCAUIBYrStMB8JODMBChAHayc+BMjDB8DVq44JEHltESGXLrvj3j0gYwYgd+5QJPKOGRBzF6y8+ULh4fj25zEriBNdRQFCAWK0OVKAUIAYbSsUIBQgRtsK85GAMxOgAHGwduJDgDx9Cly84LgAcfDVI1yuBUhgUAjyFbA/hiQ2y+Is96IAoQAx2hYpQChAjLYVChAKEKNthflIwJkJUIA4WDvxIUCCgoB/T7ohDI4Fojv46lYFiKdXCLK/QwEicChAKECM9jEKEAoQo22FAoQCxGhbYT4ScGYCFCAO1k58CBAp8sULbnj61PkESOq0wUjpwIGGDlaHU11OAUIBYrRBUoBQgBhtKxQgb5YAefzkOXYfOI6KZYobbSI2870MCMTDR0/UIYPu7q9vHrFpx98oViiPw4ci6heSgwvv3n+MlMmTIpG3l833tCeDLSZysOKd+w+ROqW/1dPa5fBFKV9MDoAMDAzCw8fPkDZ1cri5GasPeZZnDHzdbb2HNWbyLHc391hvKxQg9rRQK3njS4DE5mnoDiJQlysXrKAQZM8VzFPQ/weUAoQCxGjfogChADHaVihA3iwBcuzUBdRr/x2Ob59reHIaXVvqPOAnbNt1SGWRifyXFUqiZ7s66t8PHj1FyS87R7p89tg++LDwe5H+Pn3hOiUEmtWtYPWReUs1w8+TBqBQvpxGm3eU+WYuWo/xM1eafi9fqigG9WgG/2Thh45Va9of5y/fiHB9x2ZfokOzL20+OzomcvGfe46g13dT8eJlgLrXoJ7NUKdqKfXf8re+3083MS3wXg5M/L6LEiq2kpwiP3XBWkyeu8pUH5OGd0PB93JEe+mV63dQsWEfbFk6GhnTp7b1GNPv0b1HVDcRYVa37WC0aVQVVb4oYfhZRjJSgBihFE2e+BIgzuaGJQIkUaIQZMwS7CDRhHM5BYj1uuQ2vJG5UIBEZsL+Y73/UIAY6z9xuQ1vyKWzqlAe2XIi7PlTvNqwAolrt4iVj1lsC5BJc1ahXKmiyPJWWuz95yQ69h+PpVO/Rf482XH/4RN8WqMLpo3sqX7XKW3qFPBJHHmHmrgUICvW70DmjGlR8L13cPXGHbTsMRIt61c2iR8RIJU/L4EKpYuZyu2fNAmS+/vZrIfomMgEXJh0alEDDb/6HDt2H0bXgROxackoZMqQBrMW/4YV63Zg4cQBilH7fuPwdpYMGNrHdv0fOn4WjToNw8KJ/ZH/3eyYMPtX/LZ1D/5YNjZKa0P9DkNx9OR59U72CBBb72EN0uhpyzB36Ub108gBbSlAbLakOM4QXwJEXvPObeDWLecIRk/m64W3cwQjzD0kjmvAeR/HCRQFiNHWSQFCAWK0rVCAOJcAEfHxbHC41SBJ7+F4OX8CQi6dg3epivDtMMBotUaZTwsQmQDLRPfps5do27gqWjWorK4ZMWkxPNzdcf7ydezcdwwliuRFv44NMHPxemz76xCKFXoXXVrWRO4cma0+o0zt7qhXvYxa4dYCZP2CH9Qk2lYyIkAa1yqHfQdP4syFa6ha7iNltZCJ+rrNu/Hn3iNI6ueL9Vv2IEPalBjcqxn2HDiBpWu2KQtCp+ZfoWzJwlaLMfDHObh+8y7mjOurfhcBIpaYryp9aqvYNn83ZyJWgw5fj8OhzTPh/T+3r0qN+iox0vCrL1Cr9SCINaZ1wyrqvuJ21mPwFEMWqzHTluPUucuYNbq3uvbOvUcoXasbVs4cgjw5s1otp+S5dec+RIjYI0BsvYe1hz16/AwBgYFo0GEoerSpQwFis+XEcYb4FCBhYcCpk+4IdgKjQ9ZMnsiQMQQvXlGA6CZIAUIBYnQ4ogChADHaVihAnE+APB3cCXjxPELBvD+rCN+OsSdAKpf9UE3gxWoxb/nvphV4WXE/cOQ0erStjbczZ8Cg0XNx7eZdNSEWMbJgxSY1yR/Rv00kcJev3YZMpqf80B2flShoEiBlPi4E/2R+yJU9E6pX+ARiSbCWjAiQfLnfRov6lXDvwWPlQvVt9ybqPeYt+x2jpi5Fy/qV8HGx/Fj06xZs3XkQ5UsVQ83Kn+Kfo6eV4Pq/VRMiuZ4FBYegfP1eqFy2hMl9TARIkiQ+yJE1IzKmS6Umy1neSme0W5nyWTJZvm4H5i3biA0/jzTlEZetbJkzqGcXrdgO3/dtqUSIpJNnLqF2m8HYvW5ylNz0jcStK4W/HwZ0bWy6t7it6fqIqvC37z6EiCR7BIit94gOVPn6vdG5xVcUIHa3ptd8QXwKEHk1Z4gFkRi2YkU8ATcKEPPmRgFCAWJ0+KEAoQAx2lYoQJxLgEhpgk8cxLMhXUwF8yryCZL0GWG0SqPNZ80FS0SDCIwaFUsql5/C+XOaVuBlkn/24jVMHt5N3Xf77kP49sc52Ll6YoTnPH8RgEadvodfEl/MG98PHh7uePb8JX6atRLiciVB1as27lSWiGXTBplW/81vYkSAmMeADJ/wM+S5w/q1UgLkr/3HTKv/u/YfR5veo3Fixzz1CAm+/6haRzXxz5opopAQkbVh6z78tnCECtyWJHEU7h7ukIXZbX8dhAiJX2YNsUuEWGMiLla/b/9bWSXMhYOfrw8G9WyKfKWbRxAM5y9dR7VmA/DHsjHIkC76HXnkfXPnyGISUXJ/ETRiCRLBGZsCJLr3kOdRgMRKd43bm8S3AJG3vXDeDc+eGds54XXQyZQpFNmzekPOAKEF5D/CFCAUIEb7GwUIBYjRtkIB4lwCRGI+ng3prNyudHLz9YPf4IkqJsTRZE2A9Bg8We22NLB7k0gCZMbP63Dk5HmTANl78CRa9vjRNLGX8kg8QNeBE3DrzgMsmNA/yjiJi1duokqTr7FkykBIcLVlsleAiGuVxBRI/ISlADl47Awadx5uKuerwCAULtcav84eGsF9bMq81Zg8bzWWThuE/O++bRVvUFAwyjfojcY1y6F5vYqGqiAqJrYsByIYRFCV+6yIeo69FhDZCKB/l0amMtICYqi64j+TmPSS+PpYDY6yVrro8j9++hyvXgWZ1LTRt3MGARISApw/54aAgLgXIanThCFjxjAk96MAsWwzFCAUIEbHEQoQChCjbYUCxLkESMDy2QhYOVcVSiwfQScPKXcs99TpkGzKL0arNcp81gSIuMSIa1SHptUjCRDZLerwiXNRCpAnz16gyzcT8PLlK0z/sWe0QdpiEShWqZ2KsyheKI/DAmTI2Pk4d/G6CrqOLEDOonHnYVEKENlnpf4dAAAgAElEQVQ+dsy0ZRBBMP+nfngvV7Zo2dZtOwSfffS+YmQrRcdEx04c3jILXl6e6lbCv0ntcqYYEAl81zE59saAnD5/BTNG9VL3NRIDIvli4oJl6z2iY0QXLDM6V67fRru+Y5WJTZIEHX3boym8PD2sMowuv4iSJl2Gm+4l/oNi2hQfRUnik9hl4IRI9z24eabafs4ZBIgUTnbFOnfWXf1/XCV//zBkzRZ+6CAFCCdQRtsdd8EyNoEyyjOh5qOAt16zFCDG+k9c7oL1YvIwVSiJ+ZCg9Oc/9lMuWLFpAdm46Ee1QLpuy24MHj0Py6YPgsRXWLpgRSdAXrx8hXrthqjzKsYN6QS/JD6q3O7u7ioIXCapAa9e4cMP8qr51PiZvyg3rD+Wj7Eaz2DEAiKxJ5XKfoi/D51Cn++nqflVk9rl7RYg34ycrcoiO3Rlz/pfgHy6NClw49Y9tQ2uCIFUKfyxafvf6DtsurLufFAgV7RDpC0m8nvRim3Rt2N9NLCyC5bwXrn+T7ULlq9PIjU3tX8XrAFqFzJxf9uwda9pF6z9h//FyMlLMGZQB5MbmsS/SBB6hQZ9lHuabMMb1dzX/MVtvYe43DXvLjuLVTKdOSPtJCw0TFnB2jWphiqflzCJsNj47rjkNrziNycdZ1i/1qoi6rQdYgpssgYluvyiOFf/vhPVyv8/e+cdH1XRvfEnhRCS0IyEIiBFUCkqIAgoiqB0pChIaAaQIk06CAQS6b1DkAAREKmigiCgVEV6kaYiIr70ElooCST8Pmf47Zpkd7Nzs5uwWZ95/3iFPXvv3GfOLPO9Z86cV+GfxRcLV2zA/KXfq8QnOanhh+378MnIOUn2/8k95Ig6KRjjKgBigpB/Tnvg9u20j4QEBT1Enrz/VjwngBBAdH+QCCB6CyhdPd3VjgBCANH1bWsRxPQEEN1+psbu8G+nFDT4ZfE116GQxbAs4qUJgMgi2/QGPjmA7DpwHF0HTsGedRHmN+fJ+yHbgCRHZOO2vRg4KtJ8H/n7caEfoWI5yxogcg0dAEncb0kMH9a3rconkUT6HXuOmN/+7z+cNAIixfnKJNqCJW/hJbk+eZNFuNTuC+kxWj2fqSXWKCXdTdEEW5rI3wvcSOK5qQ3u0QrBDaurP0qUSJLJt+08pP4sUDhtxMdau2mkDsj0+asQseBb9V3R6rNxvc11UyR/R8Yu8TY02fJlqkci3zGNnY5vpfQcppybxM8mp3lJRCdx0z0hTac/GQ5AZKtU5fpdkhS3GTFlodrLKIOevBm1FwcXR5cQYdnSxRWAhE+IskjgMt3HlQBE+iQJWP/7xwPXr6cNhHjgIQo8DeTI8S98yH0JIJbTjQso6z9BBBBLXbgFi/NH5x9ssWEERG/+uAuAmJ5W3nxfvByt3vBbq8mh6z/27OSt99Xom8rMSGVuW9eVRfbFK9fg6+OjVZPDXv9Suo8UUpTFuSR/m6qES26HwIyt5u/vq1VRPD4+ARcuRyMoMIfVKICsNSX3xFSAUJ775q07Nu/r7e0Ffz9f9fm92DhEX3OsMr1EMGSbmtXmAXMEy95zpFb/1HwvwwGI6YSBLSsnI1fgo9MPJGrxzfqfLaIU8plRewnxSahP3gYIWQqASNGZBjVfRebMPnj5xWfVcWsm53Y1ADE5wc0bHjh3zgNxcalxC+vfCfB/iHz5H8L30ZxJ0ggglpoQQKz7EQFEbwHlvJmbMa/E+WN93AggevPH3QAkY87ix99rSXyXdZytFtqjtcUpW87otQBBz7AZNi/1UolnVHFDZzXZlnfmgmWESK6fydsbs0b3dNatnHadDAcgpsqRic9YlqSkiAXfYNPySRbCGLGXo+uadx6OD5rUNDuGhD8lBCXnYJ+7eBXLvt2M5o2qJzm32Wmj4eQLJSQA584Bly49ioyktvn4APnzAzlzpvYK/B4VoAJUgApQASpABagAFXikQIYDEFNEY+tXU8yhLp0IiD37sxeuqBMYyr/0HEYOaK/OxLbWvlq7DVKB89CPc1UUxFUjIIn7LlGQa9EeuHHdA/di9V0/IOAhcuR8tN3K007BdUZALHXlG1zrvsYIiKUu3ILF+aP7y8wIiN78YQRE16NoRwUejwIZDkCs5XQMm7QAl65c084BSW4vx8K16Tka1V4rq87VNm2vsjYk23cdRqf+E7Bv/WfwzeyTIQAk8XPcuwfcuumhTsuKTwAS4gGJlHh5yUkYj/7fJzMgJ1x5PzpxTqsRQLiA0nIUAAQQvQWUrp7uakeAtz6yBBC9+UMAcddfBj6XuyiQ4QBEhP+wzzhkC/BXxV+snYIlmfv58gSiT6f31TilZP/7yf+hcbtQVXWyW7vG6jg6aXKcmhT6WbzqR1UER86cvnErBn0/jVBHnsm52NIyQgQkPZyVAEIA0fUzAojeAkpXT3e1I4AQQHR9251PwdLVgHZUIKMpkCEBRKpzylnLpiPZGtZ6DWG9Q8wnEzRqO1idwzwxrIsaj5Ts123apY5QS96kDoicXz1x9jLM/XKt+WOpBjoutBPy581FAEkkGgGEAKL740cAIYDo+AoBhACi4ydiQwDRVYp2VMB1FMiQAGKST85vlnogpqPM7Mlq1N50PTki7fLV68jq72dxjBwjII9UIoAQQOzNP9PnBBACiI6vEEAIIDp+QgDRVYl2VMC1FMjQAOIKUhJACCC2/JALKOvKEEAIIDq/3Zw/BBAdPyGA6KpEOyrgWgoQQBwcDwIIAYQAYmwSEUAIIDoeQwAhgOj4ibsDiFSo3rH3CGpXe0VXDrt2Upzv2nXHCt/ZvQmgShhUKPO8yqd1RpMiiZev3lA12jL7ZHLGJc3XsKeJFPm7dPWaOn3V2kFFUvdD+mf0WaVg4bUbMYi5fRe5c+U0/Fz2+mVNJOmnp4cnPD3TpmC17sAQQHSVsmFHACGAEECMTSICCAFEx2MIIAQQHT9xdwA5fPwvNPvoUxzZPB8eHo4vGLsNmoJNPx9Q0spCvmGtKujdqan6s1QSr9Kwm4Xscyf2Q8WyJSz+fvbC1WrBHPJ+LatDVbJqCBZNH4QypYrpDqVNuzlfrMHkOSvMn0tB6KG9QpA9m7/6u3c+GIiTp88l+X6XkIboHNLQ7r1T0kS+vPWXQypXWKqsSxvaOwRN61dV/y1/13/4bLOmkic8bXh3c5mIlG7+67GT6DJwstJdml8WXwzs3gKNalex22d7/bJ1AQGt9zuGoUPL+qj3diWt+6SVEQHEQWUJII8EZA6IpSNxAWV9chFALHVhHRDOH91/ingMr978Se9jeO8tm4t7K+Y/+vdw2U+6w2nXztkAMn3eKtSoWh4FnwrCzn3H1AJ4yawhKP18EVy9dhOvN+qOiDG91eemFvRkTmTx9bHoa3oCyPI1W1AgXxBeLPEM/nfuEtr1GoN2wXXN8CMAUvetSqj1ZgVzP6WAdI7sAXY1TkkTWbCLJlK1vEXjt7Blx0F8HDoN678cpw4jilz8HZav3oKF0wYpjT4aMEkdgjSsX1u79z107CRO/HVGlYDIGuCnCmpHLPgW+zfMsRsJsdcvazcfH7EU85esUx+NGdSRAGJ3hFzcgABCALHlogQQAojuzxcBhACi6ysEkP8mgMgCWBa6t2LuomOr+viweV0lxOjpi+Hl6YmTp89C6pRVerkkBnRpjjmL12DTTwdQocxz6N7uXVVOwFqr1qQnmjWopt6ImwBkzYJRahFtr+kASKv3amDX/mP4468zkNNFJWohC/XVG3Zg685DauG9ZuMvyBv0BML6hOCXvUex5JtNKoLQtU1jVK9S1mo3pCD02fOXzSURBEAkEtO4zuv2um3388SaSPSj8yeTcGDDHPj8/7avOi37Kxhp0fhtvNd+KCQa075FPXVd2XYmpSBSE7FatnoLps1diU0rJqtyDyk1e/2y9t3rN2JwLy4OzTsPQ68OTQkgdj3BxQ0IIAQQAoixScoIiN4Cypiq7mdNgLc+pgQQvfmTXhGQuC1rkXD5Ah4cPYAHxx5tbfJt8ujtt88bteEZZH8hn9LsNUVApFaZLOAlahG17HvzG3h547730O/o1bEJChfIi6Hj56sSBbIgFhhZsHy9WuRLWYHk7fSZi5DF9MxRPfFGpRfNAFLt1TLIni0AxYvkR4Nar0EiCdaaDoCUerYw2gbXwZXoG2oL1ZCerdVzRC39HuNmLUG74Dp4tUJpfPHVRvy4fT9qVq2Ad+u+jn2//q6Aa9uqqRZbz+4/iEfN4D6oW72SefuYAIi/fxYUfTof8uUOVIvrgk/lNvzDmFwTgYKopeuwdtEY87Vky1ahAnnVvcvX7oTh/dspCJF27I+/0aRDGHasnmFTt+Sd2vfrH/h2w8/YvutX9O70vqpLZ6/Z61dK368Z3Bfd2jYmgNgT2dU/J4AQQAggxmYpAURvAWVMVfezJoAQQHS9+nHWAYkJ64oHxw5a7WrA0KnwLmn9Db7us1nbgiXQIIAhuQICIGVLFzO/gZdF/olTZzBjZA91i807DmDI2HnY/vW0JLe8feceWnYdjgB/P0RNHgAvL0+VCD0lcgVky5UkVa9at11FIpZGDDW//U98ER0ASZwDMnLqIsh9pYi0AMhPew4jcnxfdcmf9xxBh77jcXRLlPqzJN9XfqeLWvg/nT8pSAhkrf1xF75bOBpBT+ZQ9jPmr4KnlycePgQ2/bQfAhIrI8MNQYg1TWSL1febd2PFnHDzo0s+SIBfFgzt/QFKvdnGDHBicPLvs3gnZBB+WDoBeXMHag2zRIC++3Enjvz2Fzq1fkdFVuy1lPolkSQCiD0F3eBzAggBhABibCITQAggOh5DACGA6PiJ2PzXAKRX2Ax12lJoz9YWAPLZotWQ3AITgOzcfwzteo01L+xFL8kf+Dh0Ki5cisaCqQNt5klIEed6rT/BlzNDIcnVyZtRAJGtVZKDIPkTyQFk/+E/0KrbSHM/Y+Puo2yN9vhq7rAk28dmRn2NGVFfY0nEUJR+rrBVF7l//wFqNu+LVu/WQJtmtbXcyJYm9iINEgERoKrxxsvqPqmJgJg6KJGQ1t1H4vvFY1W+S0rNXr/cGkDEWaQ4n06r9lo5u/vZdK7jijYEEAIIAcTYzCSAEEB0PIYAQgDR8ZPHDSCmPqZnErpsoZGtUZ0/aGABIHJa1MGjf9oEkJsxd9B98FTcvRuL2WN7p5ikLRGBCnU6qTyLV8o87zCAhE/8HH+eOouF0wZaAZATaNVthE0AkeNmJ0QshSy8P58yACWKF0rRPd7vGI43Kr+kNLLXUtLElGtxcGMkMmXyVpcS/Vs3qWHOAZHEd1NOjiM5ILJN7Y3GH2udHGavX24NIImPLbM3uEb2wtm7lqt9TgAhgBBAjM1KAggBRMdjCCAEEB0/+a8AyLovxqrtRqs37kDY+CgsnT0Ukl+RfAtWSgBy524smnUKV/UqJoV3RYB/FiWxp6enSgKXRe292FhULFdSvTSePGel2ob1w7IJVvMZdCIgkntSp3pF7D5wHP2GR6itYq2b1DQMIIPHzFV9kRO6ijz9b16N1M44d+GKOgZXQCAwZ3as37wb/UfMVtGdci8UT9GN7Gkin5ev3RH9uwSjuZVTsETvFWu2qlOw/LJkRqf+E7VPwZLnkfyaci8+C08PD0yas0Il529aPlHl7aTU7PVLttC16SknhdUx15CRcX+Y8FBFtWSrV723KpmhSneuOdMu1cfwysPff/BA9SV8wueqoImEAxO30LFz1cNOG/GxM/vsUtcigBBACCDGpiQBhACi4zEEEAKIjp+4CoAkXDqPhMvnVZcdzftI/NyHfzuloEFqRJjqUMhiWBbx0gRAZJFtegOfHEB2HTiOrgOnYM+6CFy8fA1ywlPyJvVAJEdk47a9GDgq0nwf+ftxoR+hYjnLGiByDR0ASdxvSQwf1retyieRRPode47gs3F9VHf2H04aAYmLu48yibZgSdRBkuuTN8kRkfIoIT1Gq+cztcQapeRH9jSR7wrcyEt3UxvcoxWCG1ZXf5QokeSEbNt5SP1ZoFDWvKbclJTuLdGc8AmPcl6kCUyNHNDept7Jr5VSv0w5NIn7KqdzSYQmcdM98Syl50jtZ6kGkMQ3TByOSvz3B46cQMuuI7B5xWStwUjtQzzO7xFAHqnPOiCWXsgFlPWZSQCx1IXH8HL+6P47xlOw9OZPep2CpTtujtrJyU8XL0erN/zWanI4en3T9+Ut+dXom+qPsoh2tPihVPq+eOUafH18tGpypPY55D5S0E8gTZK/TdXKJbdDYMZW8/f3tVrZPLl9fHwCLlyORlBgDqtRgxu3bkNyTyRpX5r05+atOzbv6+3tBX8/XxWNEr0f4iGCAnOaq5NLBEO2nVltHjBHpOz1K7V6psf3nAIgcvxZnqAnzCRr6rjpVIPFM0PxopUEpvR4wLS+BwGEAGLLxwggBBDd3x8CCAFE11cIIP9NANH1D9olVUAS33/Yvs+mLKE9WlucsuUMDQUgeobNsHmpl0o8o4ob2mqyze7MBcuIj9hn8vbGrNGWkSxn9Ds9r+EUAJHjz2Z+/g16tH8Pr1d8UdHn8ROnMTFiGY78fgo/fzM9Tck3PQVLfi8CiDEAmTTFC9dueFgMWZ+e8ciW1QbtP84BduDeBBACiK77EEAIILq+QgAhgOj6Cu2ogCsr4BQAkfDWgJFzLPaWyYNLApIUnXHXRgAxBiDjJ3vh5k1LAOndIx7ZsxFA3HWeJH4ubsHSW0D9F3whpWckwFtXhwCiN3/cbQvWf/33gM/vfgo4BUBMsvz25z8q8iF74eREhfIvPQ9JYnLnRgAhgNjyby6gGAHR/e1jBIQREF1fIYAQQHR9hXZUwJUVcBqASMLN3/+7oArbFHk6n8rm/+fsRXVygykpx5WFSG3fCCAEEAKIsdnDCIjeAsqYqu5nTYBnBETXqx9nIULdPtKOClCBpAo4BUDkGDI5+1iKE0ozbbvqHjoVf/9zAd9+PtJtdSeAEEAIIMamNwGEAKLjMQQQAoiOn4gNAURXKdpRAddRwCkAImcZT5u7Ev06B2PRyo1o+e7bKu9j94Hf0KbnaB7D6zrjnWY90T2GlzkgaTYEGebCBBACiI6zEkAIIDp+QgDRVYl2VMC1FHAKgDRqOxg1q1ZQlRU79B2P+m9XVgAiZzJXadgNSyKGovRzhV3ryZ3UG0ZAjEVAnCR7hrgMF1DWh4kAQgDRmcCcPwQQHT8hgOiqRDsq4FoKOAVApA5Iw9qvoW2zOkkA5OTfZ/FOyCBsWDIeT+V50rWe3Em9IYAQQGy5EhdQBBDdnxkmoVsqxflDAHFk/rjLKVhS0XrH3iOoXe0VXTns2klxvmvXbyJPUKC58J3dL6XCQKpuVyjzPHJmd85hRFK07/LVG+pwo8w+mVLRI9tfsaeJFAW8dPWaymk2FTlMfDWp+yH9c9az6j6cvX5Zu47009PDM03HXqf/TgGQYZMW4Kfdh/H51E8wZOw8FQGpXqUc+g6bhV+PncSWlVPg5eWp058MZ0MAIYAQQIxNW0ZALPUigBBAdGcRT8HSmz/uAiCHj/+FZh99iiOb5ztclVyU6zZoCjb9fECJKAv5hrWqoHenpurPpl0ryRWeO7EfKpYtYSH87IWrFQiEvF/LqvuWrBqCRdMHoUypYrrubdNuzhdrMHnOCvPnNauWx9BeIciezV/9nbwIP3n6XJLvdwlpiM4hDe3eOyVN5MtbfzmEPp/OUlXWpQ3tHYKm9auq/5a/6z98tlnTF0oUxbTh3bUOXzKqd/IHSalfth5aQOv9jmHo0LI+6r1dya42aWngFAC5duMW3v1wCC5evqb6mj9vLuXIMjDTR36MNyuXSctneKzXJoA8kl83B+SxDlY635xvcK0LTgCx1IUAYqkJ54/1+UMA0Zs/6Q0gCZfOI+HKBdU57xLOW/M4G0Cmz1uFGlXLo+BTQdi57xi6DJyMJbOGoPTzRXD12k283qg7Isb0Vp+bWtCTOZHF18dC+PQEkOVrtqBAviC8WOIZ/O/cJbTrNQbtguua4UcApO5blVDrzQrmfmbP6q9VBDslTWTBLppI1fIWjd/Clh0H8XHoNKz/cpxa60Yu/g7LV2/BwmmDlEYfDZiEwgXzYli/tnZXHEb1TnxBe/2ydvPxEUsxf8k69dGYQR3dA0DkYUSMZas34+hvp3Dr9l0ULpAHjepUQbHC+e0OQkY2IIAQQGz5LxdQBBDd3zYCCAFE11cIIK4HILHfLcPdz6eaO+ZV6BkEDJ0GD3/Htx6ZAEQWwLLQvRVzFx1b1ceHzeuq+42evhhenp44efostu86jEovl8SALs0xZ/EabPrpACqUeQ7d272LZ4sWsOpi1Zr0RLMG1dQbcdOCeM2CUWoRba/pAEir92pg1/5j+OOvMyo3WKIWslBfvWEHtu48hKwBfliz8RdVOy6sTwh+2XsUS77ZpCIIXds0RvUqZa12I3TsPJw9fxnzJvVXnwuASCSmcZ3X7XXb7ueJNZEoQ+dPJuHAhjnw+f9tX3Va9lcw0qLx23iv/VBINKZ9i3rqurLtrFfYTK2IlVG9E3fcXr+sPeT1GzG4FxeH5p2HoVeHpu4DIMkf9s7dWGTK5I1M3l52BzsjGxBACCAEEGMzmBEQvQWUMVXdz5oAb31MCSB68ye9IiAPb9/CjTa1LTrl+14b+DZt5/DENAFI3eoV1QJeohZRy743v4GXN+57D/2OXh2boHCBvBg6fj7OnL+sFsQCIwuWr1eLfCmPkLydPnMRspieOaon3qj0ohlAqr1aBtmzBaB4kfxoUOs1SCTBWtMBkFLPFkbb4Dq4En1DbaEa0rO1eo6opd9j3KwlaBdcB69WKI0vvtqIH7fvVwcavVv3dez79XcFXNtWTbXYenb/QTxqBvdB3eqVzNvHBED8/bOg6NP5kC93oFpcF3wqt2H9k2sip7xGLV2HtYvGmK8lW7YKFcir7l2+dicM799OQYi0Y3/8jSYdwrBj9QybupkuZAIQXb0TP4y9fqX04DWD+6Jb28buASBCsp8vX4/I8X1VuCtxmMfk2Ia9IIN8gQBCACGAGJusBBC9BZQxVd3PmgBCANH16sdZB+TB0f2ICe9u0VXvEi8hIGy67iPYtLO2BUugQQCjUe0qastP2dLFzG/gZZF/4tQZzBjZQ11z844DKjd3+9fTktxD6re17DocAf5+iJo8QOXpxty+iymRKyBbriSpetW67SoSsTRiqPntf+KL6ABI4hyQkVMXQe47YsCHCkB+2nNYrRul/bzniDrE6OiWKPVnSb6v/E4XtfB/On9SkBDIWvvjLny3cDSCnsyh7GfMXwVPL088fAhs+mk/BCRWRoYbghBrmsgWq+8378aKOeHmR5d8kAC/LBja+wOUerONGeDEwHT40g9LJyBv7sAUx9+o3okvllK/JJL0nwGQTv0nKFqWPWUSZpNjeSUMduNWDC5euoals4c6PAld9QIEEAIIAcTY7CSAEEB0PIYAQgDR8ROxeZwAEv/3Cdzq18aiqz5v1IZfl0G6j2AIQHqFzVCnLYX2bG0BIJ8tWo1Dx06aAWTn/mNo12useWEvN5It8x+HTsWFS9FYMHWgzTyJU/+cR73Wn+DLmaGQ5OrkzSiAyNYqyUGQ/InkACKFrFt1G2nuZ2zcfZSt0R5fzR2WZPvYzKivMSPq6xTLO9y//wA1m/dFq3droE0zy+iUNbFtaWIv0iAREAGqGm+8rC5rJAKSvB/29E5sb69f/xkAkXCOhNGavvOmCg2Om7kEe9bNVjT95ns9VAgtMGc2hyeiK16AAEIAIYAYm5kEEAKIjscQQAggOn7yuAFE7h8T1hUPjh1M0t2AoVPhXdJ6/oLuc4mdtQiIrLlka1TnDxpYAIicFnXw6J82AeRmzB10HzwVd+/GYvbY3ikmaUtEoEKdTirP4pUyzzsMIOETP8efp85i4bSBVgDkBFp1G2ETQOS42QkRSyEL78+nDECJ4oVSlPH9juF4o/JLSiN7LSVNTLkWBzdGqrQCaaJ/6yY1zDkgkvhuyskxkgOSvF/29E5sb69f/xkAkYF++42X1QBICE1IUhzsxq3bqFy/i4qAyD5Ad2wEEAIIAcTYzCaAEEB0PIYAQgDR8RNXABDJA4nbsg6yHcszKC8yla/iFPhIDCDrvhirthut3rgDYeOjzOuq5FuwUgIQyc1t1ilc1auYFN4VAf5ZlMSenp4qCVwWtfdiY1GxXEmVvzt5zkq1DeuHZROs5jPoREAk96RO9YrYfeA4+g2PUFvFWjepaRhABo+Zq/oiJ3QVefrfBPncuXLi3IUr6hhcAYHAnNmxfvNu9B8xW0V3yr1QPEU3sqeJfF6+dkf07xKM5lZOwRK9V6zZqk7B8suSGZ36T9Q+Bcuo3okfxF6/ZAtdm55yUlgdcw0ZGfeHCQ9VVEsKh9d7q5IZqnTnmjPtnHIM79S5KyGOKElS3/24U51k0KReVXVcmRzxxgiIM4fMNa/FY3gtx4ULKOu+SgAhgOj8inH+EEB0/MQVAES3n6mxO/zbKQUNfll8zXUoZDEsi3hpAiCyyDa9gU8OILsOHEfXgVOwZ12EKpUgJzwlb1IPRHJENm7bi4GjIs33kb8fF/oRKpazrAEi19ABkMT9lsTwYX3bqnwS2S2zY88RfDauj+rO/sNJIyBxcfdRJtEWLIk6SHJ98iY5Ih4eQEiP0eZSEGKTWKOUdLeniXxX4EYSz01tcI9WCG5YXf1RohaSE7Jt5yH1Z3nZPm3Ex+bclJTubVTv5NdKqV+mHJrEfZXTuSRCk7jpnniWGt+19x2nAIgMQPiEKPyy7yjeqPSSAhCpFCnHk8nxcMwBsTcMGf9zAojlGHIBZd2vCSCWuvAYXs4f3X8FeAqW3vxJr1OwdMfNUTs5+eni5Wj1ht9aTQ5Hr2/6vrwlvxp9U/1RIi4esrp3oD18+BAXr1yDr2DKKvQAACAASURBVI+PVk2O1N5K7mOqPyfJ36Zq5bIjR2DGVvP397Va2Ty5fXx8Ai5cjkZQYA6rUQPZ8SO5J5K0L036c/PWHZv39fb2gr+fr4pGWdNbIhiy7cxq84A5ImWvX6nVMz2+5xQASY+Ouuo9uAXr0cgQQLiA0p2jBBC9BZSunu5qR4C3PrIEEL35424A4q7zPK2fSxLff9i+z+ZtQnu0tjhlyxl9EoDoGTbD5qVeKvGMKm5oq8k2uzMXLCM+Yp/J2xuzRltGspzR7/S8hlMBRJLO796Ltei/EKGjFJ2eohi5FwGEAGLLX7iAsq4MAURvAWXkd8gdbTl/CCC6fv04T8HS7SPtqAAVSKqAUwBE9tDJqQpHfj9lVV+dgiwZdWAIIAQQAoix2UsAIYDoeAwBhACi4ydiQwDRVYp2VMB1FHAKgMjRaj9s26tONxgz40tVFVLOqJ44exnyBD2BGaN6um1FdAIIAYQAYuwHjQBCANHxGAIIAUTHTwgguirRjgq4lgJOARApPFjv7cpo9e7b6tSCbz8fiaJP51NHunX+ZBJ2r41QyTbu2AggBBACiLGZTQAhgOh4DAGEAKLjJwQQXZVoRwVcSwGnAIgqRNi8LprWrwqpCjk2tCPerFxGHZkmny2eGYoXrVTRdC0pUtcbAggBhABibO4QQAggOh5DACGA6PgJAURXJdpRAddSwCkAEtx5GMqUfAb9ugSjV9gMXL8RgwlhnbF6ww61JWvT8kmQYjHu2AggBBACiLGZTQAhgOh4DAGEAKLjJwQQXZVoRwVcSwGnAIgUIvz95P8wY2QPHDp2Es07DzM/Zc2q5TExrItrPbUTe0MAIYAQQIxNKAIIAUTHYwggBBAdPyGA6KpEOyrgWgo4BUCSP9KJU2ewc98xPFu0IMq/9KzbHsErz00AIYAQQIz9qBFACCA6HkMAIYDo+Im7A4hUtN6x9whqV3tFVw67dlKc79r1m8gTFAhPT8cKDaZ0M6m6XaHM8+pQImc0Kdp3+eoNSIX2zD6ZnHFJ8zXsaSJFAS9dvaYKDZqKHBrpwJXoG/D3y6JdRFLuJ8UMvbw8jdxG2UoNEtFKV3e5T3xCQqqey3DnEn0hTQDEkQ5ltO8SQAggBBBjs5YAQgDR8RgCCAFEx0/cHUAOH/8LzT76FEc2z3fKy9xug6Zg088HlLSykG9Yqwp6d2qq/iyVxKs07GYh+9yJ/VCxbAmLv5+9cLUCgZD3a1kdqpJVQ7Bo+iCUKVVMdyht2s35Yg0mz1lh/lx21wztFYLs2fzV373zwUCcPH0uyfe7hDRE55CGdu+dkibyZTlQqc+ns3Dn7j11raG9Q1TOs0775+xFdOo/EafPXFTmjeu8jiG9PkjxZFgBgrAJUco+vE8bndsoG+lf/+GzzeP7QomimDa8u7k6u60LSbrEpDnLVbpEerZUA8j+w39gzPQvMXlYN3y7/mf8evykzX6PC+0Evyw8BSs9Bza978VK6JaKcwFl3QsJIJa6WKtjkN5z2NXux/ljfURYCV1v/qR3JfSHt28hJrwbMtdpCp+qdZw2nZwNINPnrUKNquVR8KkgtVOly8DJWDJrCEo/XwRXr93E6426I2JMb/W5qQU9mdPqm/v0BJDla7agQL4gvFjiGfzv3CW06zUG7YLrmuFHAKTuW5VQ680K5n5nz+qPHNkD7I5FSppIZEQ0karlLRq/hS07DuLj0GlY/+U45M+by+61O/QdjwD/LBgxoD0uXLqKph3DMaRna9SvUdnqdyVqNHzyQgWD79V7wxCARC7+DstXb8HCaYPUeH00YBIKF8yLYf3aWr2XwFH7PuPVgVGSp52BAOQExs1aovI7Vm/4GTJJbLUxgzsSQOy6acY2IIAQQHQ9mACit4DS1dNd7QggBBBd337chQhN8BH/95+qy36dBzoNQkwAIgtgWVzeirmLjq3q48PmddW9Rk9fDC9PT5w8fRbbdx1GpZdLYkCX5pizeA02/XQAFco8h+7t3sWzRQtYlbNak55o1qAaOrSsbwaQNQtGqYWrvaYDIK3eq4Fd+4/hj7/OqEW3RC1kcSxv3bfuPISsAX5Ys/EX5A16AmF9QvDL3qNY8s0m9da+a5vGqF6lrNVuhI6dh7PnL2PepP7qcwEQicRIhMHRllgTUzmJAxvmwOf/t33VadlfwUiLxm+neKsbt26jcv0uSaJAI6YsxIVL0Zg24mOr371zNxY3Y25j0mfL4ZvZxxCAvNd+KCQyJDX5pAnM9AqbaTN6Jtu0ZGuY+Emk+EtGiYA4OsBp/X2j+/VSsk9p3yG3YD0aSQIIAUR3ThNACCA6vkIAIYDo+InYPE4ASQ4fpj47C0JMAFK3ekW1gJeoRdSy781v4OUt995Dv6NXxyYoXCAvho6fr95oyyJUYGTB8vVqkT96YAcLOWVbkCymZ47qiTcqvWgGkGqvlkH2bAEoXiQ/GtR6DRJJsNZ0AKTUs4XRNriOWujKFirT2/+opd+rl9jtguvg1Qql8cVXG/Hj9v2oWbUC3q37Ovb9+rsCrm2rplpsPbv/IB41g/ugbvVK5u1jAiD+/llUDbp8uQNR7+1KKPhUbl0XMtsl12TZ6i2IWroOaxeNMdvIlq1CBfKa723rJif/Pot3QgZhy8rJyBWYQ5ktXLEB36z/GSvmhKfYt08nLUB8fLwhAJEyGFIIXCBE2rE//kaTDmHYsXqGzTEUu3WbdqmxyNAAIsnn4vgJ8Q9RMH8Qnin0lFP2LBr1IKP79VKyt7fvkABCALHln1xAWVeGAEIA0flN5/whgOj4yeMGkFv9QmCKfCTvr3+fkchUwbE38ta2YAk0CGA0ql1FbbMpW7qY+a23LPJlLSankkrbvOMAhoydh+1fT0vSvdt37qFl1+EI8PdD1OQBKtk55vZdTIlcAdlyJYnMq9ZtV5GIpRFDzW//E19EB0AS54CMnLoIct8RAz6EAMhPew4jcnxfdcmf9xyBbFc6uuVR7oMk31d+p4ta+D+dPylICGSt/XEXvls4GkFPPlrYz5i/Cp5ennj4ENj0036Vc7EyMtwQhFjTRLY1fb95dxJgkHyQAL8sKmKTUjtw5ARadh2RBAAEaCIWfGN3sW8UQCRvpNSbbcwwKf0yAdAPSycgb+5Am13N0AAiTitJNiJ24iaJRyM/+dCQA+j+4NiyM7pfz569vX2HBBACCAHE2KwlgBBAdDyGAEIA0fGTxw0gcVvW4s7MkRZd9Xr6GQSETYOHv2MnQFkDEKm3JicchfZsbQEgny1arcohmABk5/5jaNdrrHlhLx2Vdc/HoVPVVqAFUwfazJM49c951Gv9Cb6cGQpJaE7ejAKIbK2av2Sdit4kBxDJK27VbaS5n7Fx91G2Rnt8NXdYku1jM6O+xoyor7EkYihKP1fYqovcv/8ANZv3Rat3a6BNs9pabmRLE2dEQLZ+NcWcCJ7WERCBuxpvvKye+T8RAZE9bYtX/ajCUQIdcirC7oO/qdCfUOJX84al2/FeRvfrGbVPvu+QAEIAIYBo/b6bjQggBBAdjyGAEEB0/ORxA4jcPzmEOAs+5NrWAKRmcF+1NarzBw0sAER2bRw8+qdNALkZcwfdB0/F3buxmD22d4pJ2hIRqFCnk8qzeKXM8w4DSPjEz/HnqbNYOG2gFQA5gVbdRtgEENkmPyFiKQQIPp8yACWKF0rRPd7vGI43Kr+kNLLXUtLEtEY8uDESmTJ5q0uJ/q2b1EhVDsiwSQtw6co1mzkgpr4ajYDI9yQHRJLwTflB9nJATPfK0BEQObat3AvPYvKnXZOMsyQW9R8xG6vmDVd7CdOjGaVVI/bW9h0SQAggBBBjM5sAQgDR8RgCCAFEx09cAUASQ4gz4SMxgKz7YqzabrR64w6EjY/C0tlDIfkVybdgpQQgkuDcrFO4qhExKbyrOp1Jmqenp0oCl8X2vdhYVCxXUh0TO3nOSrUN64dlE6zmEOhEQCT3pE71ith94Dj6DY9QW8VaN6lpGEAGj5mr+iIndBV5+t8EeTm96dyFK+roWVl8B+bMjvWbd6u1p0R3yr1QPEU3sqeJfF6+dkf07xKM5qk4BevDPuOQLcBfbTtLfgqWbHNr01NO86pjrvMSH5+AhIQEDJ+yEA8exCOsdwi8vLy06rXI2K9Ys1WdguWXJbPamZT4FCxJSM+XJxB9Or2vNJFtW3IP2WImx/CuXzwOHp4e6RYwSPUxvIlHVASWfI8BXZsnGejrN2LwaoOuNsN3uj8uRuyM7tczYm9t36HsN2QDPDwAJQX1+NcdPAAp8UQfSTpDlK/QT5KIwvlj5VeU88fqPy2cP5ayWJs/8nfp3e7v3gbvkmUc3naVuN+HfzuloEFKGZjqUMhiWBbx0gRAZJFteuudHEB2HTiOrgOnYM+6CFy8fA1ywlPyJvVAJEdk47a9GDgq0nwf+ftxoR+hYjnLGiByDR0ASdxvSQwf1retyieRRPode47gs3F9VHf2H04aAYmLu48yibZgSdRBcoyTN8kRkbEO6TFaPZ+pJdYoJT+wp4l8V+BGEs9NbXCPVghuWF3LvWQbm4CAqe8Na72moEKiKaY8l8TXW/btZkikKHGTY3R1TveSiJXkp2zbeUh9XQBVTtsy5ck0ajtYAYmcXitNolEN2gxKci856MDagQVaD2vQyCkAsn7LHgidJqfkfb/+gdbdR2L32gj4+6VPHRAjEQ3RStfe1r7D89F3DUrunubZ/X1w/3487sTFu+cDpuKpMnt7wj9LJkTfik3Ft933K3lyZsHF63cJIYmGOJtfJjyIf4g7sQ/cd+ANPhnnj3XBcufMgsvX7yKBEG8WyNr8kUirOzXZgXHxcrR6wy/H2KZVk+jI1eib6vKycPVwkOTkLfvFK9fg6+OjVZMjtc8l95HaGQJpknBtqlYuuR0CM7aav7+v1ht/iUxcuByNoMAc5q1YEsGQrWFWmweSRI0EdCTilNq1sJHnkON/JQ9GDhBw5ZZqAJFQjuwv02m/rJmJbAF+OqYO2xjdr2fP3t6+Q27BejRkPIbX0nW5hcT6dOYWLEtdWIiQ80f3Hz8WItSbP+ldiFB3/GiXvgpI4vsP2/fZvGloj9YWp2zp9lC2wp25YBmVke9n8vbGrNGW0Sbdaye3S8vnSG2fHP1eqgFEzmuWapQ6LbhRdZWYnh7N3n695Hvu7NmntO9QCJsAQgCx5dcEEAKI7m8eAYQAousrBBACiK6v0I4KuLICqQYQV36olPbrWdtzl5J9SvsO5WxqAggBhABi7NeAERC9BZQxVd3PmgBvfUwJIHrzhxEQ9/tN4BO5lwJOAxBJdJITCqT4S6dW76iqmuMjliIwRzbtc5idKa21/XopXd+ovelaBBACCAHE2MwlgOgtoIyp6n7WBBACiK5XP85K6Lp9pB0VoAJJFXAKgBz9/W807RgGOQ7tVsxdDOnZGpJJL7VBpEbIvvWfwTdz2iVNPc5BJYAQQAggxmYgAYQAouMxBBACiI6fiA0BRFcp2lEB11HAKQAixflu3IrBlE+7oWO/Caj/dmUFIKYqmt9GjUDRQk+5zlM7sScEEAIIAcTYhCKAEEB0PIYAQgDR8RMCiK5KtKMCrqWAUwBEChH27NBEnVPcoe94M4DIkWjy2Yo54Xi+2NOu9eRO6g0BhABCADE2mQggBBAdjyGAEEB0/IQAoqsS7aiAayngFACRQoSBObNhzKCOSQDEVAl955qZyJpOx/Cmt7wEEAJIWgHIpq2eqPRKArKkTwmddJs6BBACiI6zEUAIIDp+QgDRVYl2VMC1FHAKgEj1zB5DpqN5o+rYtf84qlZ+CU/kyIZxs5ZAqj5KCXp3bQQQAkhaAMhX33jh4CEP5MkDtGn9wK0ghABCANH594AAQgDR8RN3BxA5uXPH3iOoXe0VXTns2klRu2vXbyJPUCA8PdOuZLzUiqtQ5nnkzJ7Vbp90DKRI4uWrNyAV2p1d2sGeJlIT7tLVa6q4n6nIoU6fxSY27j4uX72uqtlL3402KR8hz66roxRljE9IMNxPo/1y1N4pACKdkIri42YuUVUoTa1u9YoY1KNVkmqQjnbY1b5PACGAOBtATPBhuq67QQgBhACi8ztOACGA6PiJuwPI4eN/odlHn+LI5vkOVyUXrboNmgIpPSBNFsMNa1VB705N1Z9N2+aT6z53Yj9ULFvCYjhmL1ytQCDk/VpWh6pk1RAsmj4IZUoV0x1Km3ZzvliDyXNWmD+vWbU8hvYKQfZs/urv3vlgIE6ePpfk+11CGqJzSEO7905JE/myFKzu8+ks8/p2aO8QNK1f1e51xcBUS85kXLZ0cUwb3l2rKrysp/sPn20erxdKFFXftVfhfPWGHZg0Zzk2LZ+k1cfHZeQ0AJEHkHL3Zy5cUYOUP08uLYEf14M7674EEAKIMwEkOXy4I4QQQAggOr+/BBACiI6fPG4AeRhzC/GnT1h01cM/G7wKPaP7CDbtnA0g0+etQo2q5VHwqSDs3HcMXQZOxpJZQ1D6+SK4eu0mXm/UHRFjeqvPTS3oyZzI4mt5kml6AsjyNVtQIF8QXizxjCqC3a7XGLQLrmuGHwGQum9VQq03K5j7nT2rv9Y6NCVNJDIimnRt2wgtGr+FLTsO4uPQaVj/5Tjkz5vL7viKRq9VKI3iRQvg/MUraNFlOFq9VwMdWta3+93Ixd9h+eotWDhtkNL/owGTULhgXgzr19bqd/85exHt+4zHmfOX1am0/ykAsaumGxoQQAggzgIQCR7O+9wbFy9aXtE3M9DmgwfImyfjTyICCAFEx4sJIAQQHT953ADy4PBexAzrYdFV71LlEDBkiu4j2AUQWQDLYlRKHXRsVR8fNq+rvjN6+mJ4eXri5Omz2L7rMCq9XBIDujTHnMVrsOmnA6hQ5jl0b/cuni1awOo9qjXpiWYNqqkFsQlA1iwYpRa69poOgMhie9f+Y/jjrzPqdFSJWshiWt7Sb915SOUHS75w3qAnENYnBL/sPYol32xSb/m7tmmM6lXKWu2GnL569vxlzJvUX30uACKRGDkMydGWWBOJfnT+ZBIObJgDH59M6tJ1WvZXMNKi8duGbnX//gPItbu1bYym77xp97vvtR8KifS0b1FP2cqWtl5hM21Gw2Sb1pXoG2rcI2X83TUC8umkBfh592G7AoqBnILFJHQtqTKsUY4AH8Tdj8ed2PgM+wzO7nhqFlDWIMSd4EM0JoAQQHTmWmrmj851M7oNK6HrzZ/0qoSeXgAiW9plAS9Ri6hl35vfwMtb8b2Hfkevjk1QuEBeDB0/X70Bl0WrwMiC5evV+mv0wA4WwknhaFlMzxzVUxWPNgFItVfLIHu2ABQvkh8Nar1mcxu9DoCUerYw2gbXUQtj2UJlqhMXtfR7lSfcLrgOXq1QGl98tRE/bt+PmlUr4N26r2Pfr78r4Nq2aqrF1rP7D+JRM7gP6lavZN4+JgDi758FRZ/Oh3y5A1Hv7Uoo+FRuw9M9uSaSXhC1dB3WLhpjvpZs2SpUIK/53vZuIruD5i1Zp4ArV2B2jBzQHgH+Wex9DeVrd8Lw/u0UhEg79sffaNIhDDtWz0gxtWHdpl1KW7cFEKl6/tfp80qUX/YdRfT1m8oZEjeh2CIF8yJqyidWw3d21c8ABoyAPBokAoils6Z2AZUYQtwNPggg1n/UrBVSywA/f2naxdTOnzTtlAtcnADy3wSQxDkgAg0CGI1qV1HbcsqWLmZ+Sy6L/BOnzmDGyEdRmc07DmDI2HnY/vW0JMLdvnMPLbsOR4C/H6ImD4CXlydibt/FlMgVkC1Xkvgs6zyJRCyNGGp++5/4IjoAkjgHZOTURZD7ysFEAiA/7TmMyPF91SV/3nNEnaJ6dEuU+rMk31d+p4ta+D+dPylICGSt/XEXvls4GkFP5lD2M+avgqeXJx4+BDb9tB8CEisjww1BiDVNZBvU95t3qxfppib5IAF+WVTERqfJNq5BoyPx25+nlbajBnZQEZ+UmiSSl3qzjRkOxfbk32fxTsgg/LB0AvLmDrT5dbcHkMRP3rLrCFQuXwqdP2iQRBAhx2lzVyoKy5TJW2ecMpwNAeTRkBFALF3XkQWUQMiXS71Qu2a8W2y7SqwOIyB6C6gM92Po5A47Mn+c3BWXuhwBRG/+uFsEJDGA9AqboU5ECu3Z2gJAPlu0GoeOnTQDyM79x9Cu11jzwl7UkwXxx6FTceFSNBZMHWgzT8JUTPrLmaGQBOjkzSiAyEvp+UvWqehNcgDZf/gPtOo20txPOTmqbI32+GrusCTbx2ZGfY0ZUV9jScRQlH6usNW5KVudajbvi1bv1kCbZrW15q8tTZwRATF1QKCifd/xyJPrCRXZsNckAiKwVuONl5UpIyBWFJNig7KfTfa1JW6y569R28FYGfkpnnumoD2tM+TnBBACiC3H5QLKujIEEL0FVIb8QXRipzl/rItJANGbP+4MIDWD+6qtUfLSN3kERE6LOnj0T5sAcjPmDroPnoq7d2Mxe2zvFJO0JSJQoU4nlWfxSpnnHQaQ8Imf489TZ7Fw2kArAHICrbqNsAkgcgzuhIil6sTVz6cMQInihVL8tXm/YzjeqPySxYtxa19KSRNTDsjBjZHmF+mif+smNQzngMi9JQr01z/nzZGflB5CckAkqd6U72MvB8R0rf9UBKRT/wnY9+sJbP1qCvyyZDbraSLVb+aPwDOFn3LiP02ucykCCAGEAGJsPhJA9BZQxlR1P2sCCAFE16utbWFMLwCJ/+t33F0w3aKrXkWKI0vrbrqPYNPOdArWui/Gqu1GqzfuQNj4KCydPRSSX2EEQO7cjUWzTuGqpsSk8K7mPARPT0+1JUgW2/diY1GxXElk8vbC5Dkr1TasH5ZNsJpzoBMBkdyTOtUrYveB4+g3PEJtFWvdpKZhADEdZysndBV5+t8EeTnt6dyFK+qoWlmsB+bMjvWbd6P/iNkqulPuheIpjoE9TeTz8rU7on+XYDQ3eAqWbGmTiJRslcufL0hFMD7sPU4BhRwkYK8JTK5Ys1WdgiVr6079JyY5BUsS0vPlCUSfTu+rS0mE5cGDeLVlTI7hXb94HDw8PVy2HohTjuE9/Nsp5dTSJFlGjiY7cORPSEhNzn+OmjLAZQWw5wD2PieAEEAIIPZmSdLPCSAEEB2PIYAQQHT8RGweJ4Do9jG1dqb1lRSxM9VZk8WwLOKlCYDIItv0ljx5BGTXgePoOnAK9qyLwMXL19QpTMmb1AORHBEpKj1wVKT5PvL340I/QsVyljVA5Bo6AJK435IYPqxvW5VPIon0O/YcwWfj+qju7D+cNAIiidtlEm3BkqiDJNcnb5Ij4uEBhPQYrZ7P1BJrlJL29jSR7wrcSOK5qQ3u0QrBDavbHVKJIH3w8SgcP3HabCvFuYf0+kCrkKJ8X/JNtu08pL4vwDltxMfmvBfZYSSnlU0M66I+l+hSgzaDkvRLDi6wdgCB3c6ng4FTAET6+fvJ/2FG1CocOHxCFbMRCBEabdusjrlQTDo8T7rfggDySHLmgFi6HhdQ1qcjAcRSFyahc/7o/uPFLVh68ye9IiC64+aonZz8dPFytHrDb60mh6PXN31foiNXo2+qP0rExUNW9w40eSt/8co1+Pr4aNXkSO2t5D6y9hRIkwRtU7Vyye0QmLHV/P19tV6Qx8cn4MLlaAQF5jBvxZJEfdkaZrV5wBw1EpC4eu0Gnnwih3mXkJF+3bh1G5LXYq8AYWq1e1zfcxqA2HsASYR6qeQz8M1sWczG3ndd+XMCCAHEln8SQAggur9dBBACiK6vEED+mwCi6x+0S6qAJL7/sH2fTVlCe7S2OGVLV0PZCnfmgmVURr6fydsbs0ZbRptM107Lfun2/3HbpRuAyBnNs8f1sXv02OMWxOj9CSAEEAKIsVnDCIjeAsqYqu5nTYC3PqYEEL35424REPeb4Xyi/7oCBBAHPYAAQgAhgBibRAQQvQWUMVXdz5oAQgDR9Wp3zgHR1YB2VCCjKUAAcXDECCAEEAKIsUlEACGA6HgMAYQAouMnYkMA0VWKdlTAdRQggDg4FgQQAggBxNgkIoAQQHQ8hgBCANHxEwKIrkq0owKupQABxMHxIIAQQAggxiYRAYQAouMxBBACiI6fEEB0VaIdFXAtBQggDo4HAYQAQgAxNokIIAQQHY8hgBBAdPyEAKKrEu2ogGspQABxcDwIIAQQAoixSUQAIYDoeAwBhACi4ycEEF2VaEcFXEsBAoiD40EAIYAQQIxNIgIIAUTHYwggBBAdP3F3ALlx8zZ27D2C2tVe0ZXDrp0Uwbt2/SbyBAXC09OxQoMp3Wz9lt2oUOZ55Mye1W6fdAykSOLlqzcgFdoz+2TS+Yq2jT1NpODgpavXVDFAU5FD7Ys7aCgFD+XZdXWUoozxCQnp3k+jj5luADJodCR6dWyKwJzZjPbRpe0JIAQQAoixKUoAIYDoeAwBhACi4yfuDiCHj/+FZh99iiOb5ztclVy06jZoCjb9fEBJKwv5hrWqoHenpurPUkm8SsNuFrLPndgPFcuWsPj72QtXKxAIeb+W1aEqWTUEi6YPQplSxXSH0qbdnC/WYPKcFebPa1Ytj6G9QpA9m7/6O6k1d/L0uSTf7xLSEJ1DGtq9d0qayJe3/nIIfT6dpaqsSxvaOwRN61e1e10xGDPjSyxYvj6Jreghuthrcr/+w2ebx+uFEkUxbXh3uxXRV2/YgUlzlmPT8kn2bvFYP3cIQIQYJ85eip/3HFGkVe/tSmjzfm1zmfrH+mTpdHMCyCOhcwT4IO5+PO7ExqeT8q5/Gy6grI8RAcRSF1ZCt9SE88f6/GEhQr35k56FCOP/PqE65VWoGB7evoXYtcvh26StU/6RcjaATJ+3CjWqlkfBp4Kwc98xdBk4GUtmDUHp54vg6rWbeL1Rd0SM6a0+N7WgJ3Mii6+PxfOkJ4AsX7MFBfIF22lXpQAAIABJREFU4cUSz+B/5y6hXa8xaBdc1ww/AiB136qEWm9WMPcze1Z/5MgeYHccUtJE1rmiSde2jdCi8VvYsuMgPg6dhvVfjkP+vLnsXnv09MWqv/06B5ttM2fOhDy5nrD73cjF32H56i1YOG2Q0v+jAZNQuGBeDOtn3bf+OXsR7fuMx5nzl5E7V073BpBeYTMhIbYqr5RGXNwD7DpwHG2a1UafTu/bFdZdDAggBBBbvswFFAFE93eOAEIA0fUVAohrAYjAR0zYo6iBf9+RuPv5VMT//Sd8qtaGX2f7b7ntjbsJQGQBLIvRWzF30bFVfXzYvK76qixwvTw9cfL0WWzfdRiVXi6JAV2aY87iNdj00wFUKPMcurd7F88WLWD1VtWa9ESzBtXQoWV9M4CsWTBKLXTtNR0AafVeDezafwx//HUG9WtUVlELWUzLW/qtOw8ha4Af1mz8BXmDnkBYnxD8svcolnyzSb3l79qmMapXKWu1G6Fj5+Hs+cuYN6m/+lwARCIxjeu8bq/bdj9PrIlEPzp/MgkHNsyBz/9v+6rTsr+CkRaN37Z7LRmf6zdjMHpgB7u2yQ3eaz8UEulp36Ke+kjW27LuthUNk21aV6JvqHGPlPF31wiIKVQ3sHtLNRDSPlu0GlMiV2LXd7MQ4J/FsNgZ8QsEEAIIAcTYzGUERG8BZUxV97N2FOA9//cnEgJzA37O2X/uKgoTQPTmT3pFQARAboV1Be7cTtIxnzdqw6+L8wCkbvWKagEvUYuoZd+b38DLW/G9h35Hr45NULhAXgwdP1+9AZdFq8CIbP+RRb61BfDpMxchi+mZo3rijUovmgGk2qtlkD1bAIoXyY8GtV6DRBKsNR0AKfVsYbQNrqMWxrKFakjP1uo5opZ+j3GzlqBdcB28WqE0vvhqI37cvh81q1bAu3Vfx75ff1fAtW3VVIutZ/cfxKNmcB/UrV7JvH1MAMTfPwuKPp0P+XIHqh05BZ/KbXjaJtdk2eotiFq6DmsXjTFfS7ZsFSqQ13zvlG4iALJh6x61hU1yOKq9VhblXiiu1a/ytTtheP92CkKkHfvjbzTpEIYdq2fYHBOxW7dpl9LWbQHk+InTEDr7cflEcyjp/KVovNW0F1bMCcfzxZ7WEjijGxFACCAEEGOzmACit4Aypqr7WTsCIAIfvpP6IuHJ3LjXY5xbQQgBRG/+pBeASG8eHN2PmPDu5o5levk1+Pcb7ZRJaW0LlkCDAEaj2lXUtpyypYuZ35LLIv/EqTOYMbKHuv/mHQcwZOw8bP96WpL+3L5zDy27DkeAvx+iJg+Al5cnYm7fxZTIFZAtV5L4vGrddhWJWBox1Pz2P/FFdAAkcQ7IyKmLIPcdMeBDBSA/7TmMyPF91SVlK3+HvuNxdEuU+rMk31d+p4ta+D+dPylICGSt/XEXvls4GkFP5lD2M+avgqeXJx4+BDb9tB8CEisjww1BiDVNZBvU95t3q3WtqUk+SIBfFhWxsdck0vP3mQsqV+bI76cUZE0M66xAK6UmieSl3mxjhkOxPfn3WbwTMgg/LJ2AvLkDbX7d7QFk/+ETaNVtBHaumanoWlps3H2UrdEethKW7A1URvycAEIAIYAYm7kEEL0FlDFV3c86tQBigg/cjVGiJDxVCPd6TVQQ4vnHQSQUfylDi0UA0Zs/6QUgkvMRE95NbbsyNQ+/AASETVM5IY42awDSK2yGepse2rO1BYDITpRDx06aAWTn/mNo12useWEv/ZG8ho9Dp+LCpWgsmDrQZp7EqX/Oo17rT/DlzFBIAnTyZhRAZGvV/CXrVPQmOYDsP/wHWnUbae6naT351dxhSbaPzYz6GjOivsaSiKEo/Vxhq/Lev/8ANZv3Rat3a6i0AJ1mSxNHIyDJ7z1g5Ge4fuOWyrOx1yQCIrBW442XlSkjIP+vmAlAGtR8FT6ZHh2HJsd+fbV2m8oJyZPrXzrr37W51QQme+JnhM8JIAQQAoixmUoA0VtAGVPV/axTAyDJ4cOkikBIQt5C8N67BXGt++BBpZoZVjACiN78SS8AubdsLu6tmK86JZGP+8cOqO1Ynk/mRraZKx32M2sAUjO4r9oa1fmDBhYAIqdFHTz6p00AuRlzB90HT8Xdu7GYPbZ3iknaEhGoUKeTyrN4pczzDgNI+MTP8eeps1g4baAVAHn0UtsUAUkOIHIM7oSIpRAg+HzKAJQoXihFbd/vGI43Kr+kNLLXUtLElANycGOk+YAl0b91kxpaOSDJ7y0Rqn2//qE0sNdkl5Ek1ZvyfezlgJiu5/YRkKO//w2hcJ0moStTlETHPiPZEEAIIAQQYzOWAKK3gDKmqvtZpwZAfCf1hucfv1oXQ/ZmeHjgQcUaiPvg0baPjNgIIHrzJ70ARHpzZ8YI1SnJ+ZCckNtjB6gtWM6MgKz7YqzabrR64w6EjY/C0tlDIfkVybdgpQQgd+7GolmncFVTYlJ4V3Ourqenp0oCl8X2vdhYVCxXEpm8vTB5zkq1DeuHZROs5hzoREAk96RO9YrYfeA4+g2PUFvFWjepaRhABo+Zq/oikYMiT/+bIC+nPZ27cEUdVSuL9cCc2bF+8270HzFbRXfs5VvY00Q+L1+7I/p3CUbzVJyCNemz5XinRmUUzJ8Hv5/8B216jFFAIQcJ2GsylivWbFWnYPllyYxO/ScmOQVLEtLz5Qk0H/wk27YePIhXW8bkGN71i8fBw9PDZeuBOHQMrz3x/gufE0AIIAQQYzOdAKK3gDKmqvtZpwZAcOeWyv3wPHMyqSAPAXggw8OHPBQBRG/+pCeApOXsO/zbKQUNfll8zXUoZDEsi3hpAiCyyDa9JU8OIHI6adeBU7BnXQQuXr4GOeEpeZN6IJIjsnHbXgwcFWm+j/z9uNCPULGcZQ0QuYYOgCTutySGD+vbVuWTSCL9jj1H8Nm4Pqo7pl01pghIXNx9lKnRHqYtWBJ1kOT65E1yRDw8gJAeo9XzmVpijVIaH3uayHcFbiTx3NQG92iF4IbVtYZdIjGS+2FqDWu9prbO+Wa2PNY4+QUlAiX5Jtt2HlIfCXBOG/GxOe+lUdvBCkgmhnVRn0t0qUGbpAcfSMJ/ak7g0no4B43SDECEsOVkBjle7ZNuLeDv5+tgV13z6wSQR+PCOiCW/pmqBZRrurlTe0UAsZSTx/A6cf4kh5D/hw+5Q0KBohk+KZ0Aojd/3AVATE8rJz9dvByt3vBbq8nhrB9pWbtdjb6pLicRFw9Z3TvQ5K38xSvX4Ovjo1WTI7W3kvvI6axSvE8StE3VyiW3Q2DGVvP399WKEMTHJ+DC5WgEBeYwb8WSRH3ZGma1ecAcNRK7azduIVfgv/VUjPTrxq3bkLwWORDAnZrTAUTOel77406s/G6rcgZpiRPV3Uk8eRYCCAHElk8TQKwrQwDRW0C522+l0edxaP7cuYUs4e3gceOainwkFH/BvDVL/vtezwlGu+My9gQQvfnjbgDiMg6YwToiie8/bN9ns9ehPVpbnLKl+4iyFe7MBcuojHw/k7c3Zo22jDaZrp2W/dLt/+O2cwqAXL56XZ1zLHvVBECkvVq+FN6rVxVVXnkhTWn9cQtIACGAEECMzUICiN4Cypiq7mftEICIHFfOw3d2OBLyF1U5H96/rEem5bMQ23M8Ego8k2EFI4DozR8CSIZ1cXb8P6JAqgFETiiQ84y/3fCTqr4prWzp4pACNuMjlmLxzFC8aOXYNnfTlQBCACGAGJvVBBC9BZQxVd3P2mEAEUnu3EpaAyT5nzOgbAQQvflDAMmAzs0u/6cUSDWAmBKG5ASClu++jVpVKyBfniche9Uq1+9CAPlPuRFzQKwNt1MWUG7oRwQQvQWUGw69oUfi/LEuFwFEb/4QQAxNNxpTgXRXINUAYjqbWnosWf313qqE8mWeU1UuCSDpPo6P/YZMQrccAi6grLslAURvAfXYJ/Vj7gDnDwFE1wWtHeJAANFVj3ZU4PEokGoAke7KkWhS8ERyP+S/5ci26q+Vw/I1WxgBeTzj+djuSgAhgOg6HwGEAKLjKwQQAoiOn4gNAURXKdpRAddRwCEAMT2GHH925LdT+E6dfrVNHYOWP28uNKpdBTWrllfnFLtrYw7Io5ElgBBAdOc4AYQAouMrBBACiI6fEEB0VaIdFXAtBZwCIIkfSc4q3rH3KL5Z/zOkbLy0HatnWK2i6VpSpK43BBACiC3P4QLKujIEEAKIzq8t5w8BRMdPCCC6KtGOCriWAk4HkMSPJwnpm37aj9rVXtGq+uha0uj1hgBCACGA6M0VkxUBhACi4zEEEAKIjp8QQHRVMmZ36p/zuHT1Ol4p87yxL2Yw6/Vb9uDlF59FYM5sGaznGb+7qQYQqZZ589YdLQVyZg9wuJqmtRtdib4Bf78s2nVG7NnLM3l6eMLTU7/yJwGEAEIA0foZMBsRQAggOh5DACGA6PgJAURXJWN2C5avx5YdBzFvUn9jX7Rhve/XPxC5+LsUi/M55UYGL1KyaggWTB2Ici8UN/hNmjuqQKoBxHQMr04HnL0F65+zF9Gp/0ScPnNR3b5xndcxpNcHyOTtZbU7OvZ378Xh/Y5h6NCyPuq9Xcl8Hal10j10qsV192+Yg8w+mVgJ/f+VYQ6IpetxAWX914EAQgDR+XeD84cAouMnrgIgYef2IPz8XtXlh+U+0u26y9oRQFx2aNymY6kGkANHTqBl1xFKiBaN38ZzzxSwKYoc0evjk8lponXoOx4B/lkwYkB7XLh0FU07hmNIz9aoX6Oy1XvYs5fCifOXrFPfHTOoYxIA+WH7Pnwycg5WzAlPcu2CTwWpqA4jII9kIYAQQHQnOAGEAKLjKwQQAoiOn7g7gPx56iwGjPwMb7/+MpZ+uwm3Yu6iQ8t6aN+inpJHtrqPnfElNmzdi6wBWfBevarqc28vL6zesAObdxyEv58vvt+8W51UOrhHK1R55QXcfxCPll2GY2xoJzydP7e61syor5E1wA+t3quBxABy/UYMPvpkEqQv0ko+WwifdGuBZ4s+WvcFdx6m7ilFqY+fOI3h/duh6NP5kgyfvQiIXOPVl0vhx5/24Y+/zqj13JCeH8AvS2bExydg3pK1+PLrH9XzV69SFp90bYHs2fxVn1LSJ2x8FF4p+7xKBZC2eccBpYWs9dSzJIqALFyxAfOXrsPFy9eUVsENq+OjDxqotZ5oefDon3ixZFGs2fgLihXOj76dm+m6KO2sKJBqAJGTr3buO4Y5X6zBrgPH1WlXbYProNSzhdNUaFOhw0XTB6FMqWLqXiOmLMSFS9GYNuJji3vr2MvkuhcXh+adh6FXh6YWABI+IQrbv55m9bkIIAQQWw7PBZR1ZQggBBCdfyQ4fwggOn7yuAEk6upvOB0Xgy23zmLLrXOqy2H5yqv//yDwWRTyyar7GFbtTDXX6lavqBblst6SF6brvhiDgk/lRr9hEfjtz3/Qq2NTRF+/iVHTFqNH+/fQovFbiFr6PcbNWoJOrd/BC88XxbLVm/HrsZNqPRMXdx9larTHyshP8dwzBdW9B46agydyZkOfTu8nARBZR61atx1lSxVTL5PnfbkWf/1z3vxiVhbx0uRldL48gahZtQLyBj1hCEDkGrJ+bNe8Li5fvY7Jc1ZgYPcW6jRVKe0wdsYSteCX606JXKnuM3VYd9jTp1W3kQo+mjeqrvojzyFwtWrecAsAEYjz9vZCgXy58L+zl9Bt8FTMHNUTb1R60azlCyWK4q0q5ZA3KBB1qj+CGrbUKZBqAEl8uyO/n8K8L9epU68qvVwSHVrUR4Uyz6WuR3a+dfLvs3gnZBC2rJyMXIE5lLVQq5y6lTxKIZ8Zsa8Z3Bfd2ja2AJCPQ6ehQc1XkTmzj0pWEtiStwvSCCCPBowREEvH5QLK+mQmgFjqYq2OQZr8gGagi3L+WB8sVkLXmz/pVYiw6u/fYGvMI/BI3jYXb4CqWZNGAoxOQdMC+8jm+eZc2jot+6sIiKxFytfuhHGhH5kXw6OnL8au/cfUAlsA5Kc9hxE5vq+67aUr1/Hmez2wdtEYtZDXBRD5rmxT//X4Sfz9z3kc/u2UWsgf3RKlrivwEDGmN6q8Utrm49mLgMg1kr9YvnX7LkYP7KAiLAJJQ3t9oK4vO1NkXbbj2xmQLfbNPvoU1vQReDECIKY147E/TuNy9HUFeh+2qIcPmtRUWq7fugdfTB9sKE/Y6Hj/l+ydAiAmwbb+cgidP5mk/vj5lE/UYt3ZzbT1K3FeybLVWxCx4BtsWv7o3ombEXtrACITTcAqe1Z/nLt4Fcu+3axIetDHrdRtEhIeOvsRM+T1JEQJPMRDyvHv+HlA/YPxkD6SxKflkIcEcRT6ilmXR/MHkMgy2/8rwPlj1RU4fyxlsTZ/jBwm48icexwA0itsBnJmz4qW776Neq0/UUBh2kYl24PCJ36OPesiLABEnlOAZXj/tnizchltAJFtTm16jlbbs8q/9Bxi4+6rLUmJASQxPFjT0yiALPlmkwKA9V+OQ5WG3VSER4BC2vmLV/HW+73x1dxhKpKTHEBM+oT2bG0IQATe5IV2tVfL4OkCebD2x51o9W4NtGlW26qWjvgNvws4BUBkv17kF2tUIUIpQGhK5JYkbWc3U0Rj61dT8OQT2dXldSIgOvbWACR5/79auw2hY+fh0I9zVRTkwrV7zn7EDHk9eYMbdz8Bd+PiM2T/06LTmb094e/rjeiYuLS4fIa9Zu4cvrh0/R75I9EIZvPzxv34h7gby/ljkoXzx/oUD8rhiyvX7yEhw/4COL/j1uZPnpy+zr9RCldMqyR0axGQak16okn9qmje8C1UfqcLZozsgaqVX1K9mz5vFdZu2qmgJHkE5OyFK6jRrA+iJg/AS6WK4aW32mHJrCEo/XwR9V1bW7DGzPhS5XbMndAPXl6eOHTspNqynpYAIuus/527pPraqO1gvFqhtNoaJu2XvUfxYZ9x2LxiMi5ejrYAEJM+H7VugLY9x+D1ii8i5P1a6ru2tmAVKpAHrzfqrk79Mh093Kn/BLxSpgQBJI1mkkMAInsJJQdk088HULxIfrXPsHqVcubtSWnRZ2s5HcMmLcClK9e0c0Bs2esAiCRZiVPuW/+Zqm3CLViPRplbsCy9nVtIrP8CcAuWpS7cgsX5o/vvJbdg6c2f9NqCZepNWgOIbKkKCsyBr9Ztw4SIZertvySBy2FAAf6+GNorBNdu3ELPoTNQ443y6N2pqQKQb9b/hNlj+yA2Lg4zor7Gz7sPY8OSCap8gWxPkuNnJX/3wOETGDwmEg1qvWaRAzJj/iqVzD5rdE88eBCvrpN8C5YzIiBhfUIguS6yzho8Zq56hmYNqimokueeHN4VuXM9geGTF+D8pWgs/ywMR347pQDElj4zP/8Guw8cx5Rh3XD2/GWVIxNz+45FDkixIvlRqV5nlUAv+u099Dv6fDoLnT9oQADR/XEyaJdqADERsNxPEo/e/H/6tnb/8mWecyqUCPlmC/DHiAEfWj0Fq1fYTJWgZKJle/ZS/0O2yUgoUyBKTu3KlMlbPcriVT+qSV6ieCHcuBWDvp9GqON+TWdjE0AIILbmHAGEAKL7e0wAIYDo+goBxDUB5O+4W/g79pbqnKN5H4mf0BQBkVOZoq8/uv6wfm1V+QFpUjBQ8iFOnn6UhyKREMmbkO1SpiR00/Vkh8q40E6QRGppUih66Pj56rqyhUt2rbxW4QW18JedJZt/PqDWOrLY7zZoioqCSJNcD4EEZ0dAEj+jbHXv37W5WjveuXsPA0dFYuO2R8ccS1+nDe+OooWeMiehp6SPbMmSnTp+WXxR7oViuBJ9M0kC/cJpA1G2dHHM/XItJs5epu4hp3jJVjM5CUuiJ1HLvseOPUfw2bg+ulOVdnYUSDWAPM46IDLhpA7ImfOX1eM1rPUawnqHmKFBwnWFC+bFxLAu5gmakr0Ai+R5JG5rFox6dI3Zy5RTmppMXJnAMpGlEUAeKcMIiOVMI4BY//VhBMRSFwII54/uaoUAojd/0jsCojt+Ru1MACLbvm/cvI0c2QLUNqjkTRLMM2fOpPJVTc20BWvWqJ6QhG5ZpCdv8gL2avRN5M6V027Xzl24ghzZs6qjcZ3dTEnoRQrmU88hO0ySN9kBc+9eXJK+6upz4XK02rZvOkDIVv9v37mHmzF3LE7xcvbz8noO5IBI4s/V/6dxe0LmfjJnmpwaIGc1Sz0QOeNapxm1N13zXmycOhYuq78fcmQPSHIrAggBxJbvEUAIIDq/S2JDACGA6PoKAeS/CSCJT3nS9ZXkOSC633scdslPwdLtg7UcGd3v0u7xKpDqCMjj7bbr3J0AQgAhgBibj4yA6C2gjKnqftYEeOtjSgDRmz/uEgGR7VFbfzloPgHKyEyXbUfy4jWl43GNXC8tbaWUwqvlS5kPF9K9lyP66N6DdmmjAAHEQV0JIAQQAoixSUQA0VtAGVPV/awJIAQQXa+2FkF0FwDR1YB2VCCjKUAAcXDECCAEEAKIsUlEACGA6HgMAYQAouMnYkMA0VWKdlTAdRQggDg4FgQQAggBxNgkIoAQQHQ8hgBCANHxEwKIrkq0owKupQABxMHxIIAQQAggxiYRAYQAouMxBBACiI6fEEB0VaIdFXAtBQggDo4HAYQAQgAxNokIIAQQHY8hgBBAdPyEAKKrEu2ogGspQABxcDwIIAQQAoixSUQAIYDoeAwBhACi4ycEEF2VaEcFXEsBAoiD40EAIYAQQIxNIgIIAUTHYwggBBAdPyGA6KpEOyrgWgoQQBwcDwIIAYQAYmwSEUAIIDoeQwAhgOj4CQFEVyXaUQHXUoAA4uB4EEAIIAQQY5OIAEIA0fEYAggBRMdPCCC6KtGOCriWAgQQB8eDAEIAIYAYm0QEEAKIjscQQAggOn5CANFViXZUwLUUIIA4OB4EEAIIAcTYJCKAEEB0PIYAQgDR8RMCiK5KtKMCrqUAAcTB8SCAEEAIIMYmEQGEAKLjMQQQAoiOnxBAdFWiHRVwLQUIIA6OBwGEAEIAMTaJCCAEEB2PIYAQQHT8hACiqxLtqIBrKUAAcXA8CCAEEAKIsUlEACGA6HgMAYQAouMnBBBdlWhHBVxLAQKIg+NBACGAEECMTSICCAFEx2MIIAQQHT8hgOiqRDsq4FoKEEAcHA8CCAGEAGJsEhFACCA6HkMAIYDo+AkBRFcl2lEB11KAAOLgeBBACCAEEGOTiABCANHxGAIIAUTHTwgguirRjgq4lgIEEAfHgwBCACGAGJtEBBACiI7HEEAIIDp+QgDRVYl2VMC1FCCAODgeBBACCAHE2CQigBBAdDyGAEIA0fETAoiuSrSjAq6lAAHEwfEggBBACCDGJhEBhACi4zEEEAKIjp8QQHRVoh0VcC0FCCAOjgcBhABCADE2iQggBBAdjyGAEEB0/IQAoqsS7aiAaylAAHFwPAggBBACiLFJRAAhgOh4DAGEAKLjJwQQXZVoRwVcSwECiIPjQQAhgBBAjE0iAggBRMdjCCAEEB0/IYDoqkQ7KuBaChBAHBwPAggBhABibBIRQAggOh5DACGA6PgJAURXJdpRAddSgADi4HgQQAggBBBjk4gAQgDR8RgCCAFEx08IILoq0Y4KuJYCBBAHx4MAQgAhgBibRAQQAoiOxxBACCA6fkIA0VWJdlTAtRQggDg4HgQQAggBxNgkIoAQQHQ8hgBCANHxEwKIrkq0owKupQABxMHxIIAQQAggxiYRAYQAouMxBBACiI6fEEB0VaIdFXAtBQggDo4HAYQAQgAxNokIIAQQHY8hgBBAdPyEAKKrEu2ogGspQABxcDwIIAQQAoixSUQAIYDoeAwBhACi4ycEEF2VaEcFXEsBAoiD40EAIYAQQIxNIgIIAUTHYwggBBAdPyGA6KpEOyrgWgoQQBwcDwIIAYQAYmwSEUAIIDoeQwAhgOj4CQFEVyXaUQHXUoAA4uB4EEAIIAQQY5OIAEIA0fEYAggBRMdPCCC6KtGOCriWAgQQB8eDAEIAIYAYm0QEEAKIjscQQAggOn5CANFViXZUwLUUIIA4OB4EEAIIAcTYJCKAEEB0PIYAQgDR8RMCiK5KtKMCrqUAAcTB8SCAEEAIIMYmEQGEAKLjMQQQAoiOnxBAdFWiHRVwLQUIIA6OBwGEAEIAMTaJCCAEEB2PIYAQQHT8hACiqxLtqIBrKUAAcXA8CCAEEAKIsUlEACGA6HgMAYQAouMnBBBdlWhHBVxLAQKIg+NBACGAEECMTSICCAFEx2MIIAQQHT8hgOiqRDsq4FoKEEAcHA8CCAGEAGJsEhFACCA6HkMAIYDo+AkBRFcl2lEB11KAAOLgeBBACCAEEGOTiABCANHxGAIIAUTHTwgguirRjgq4lgIEEAfHgwBCACGAGJtEBBACiI7HEEAIIDp+QgDRVYl2VMC1FHBbAElIeIhLV6/hySeyw9vLy67q9uwfPnyI+IQEi2sRQAggBBC70yuJAQGEAKLjMQQQAoiOnxBAdFWiHRVwLQXcEkC2/nIIfT6dhTt37ym1h/YOQdP6VW0qr2O/esMOTJqzHJuWT0pyHQIIAYQAYuxHjQBCANHxGAIIAUTHTwgguirRjgq4lgJuByB378Xh9Ubd0bVtI7Ro/Ba27DiIj0OnYf2X45A/by4L9e3Z/3P2Itr3GY8z5y8jd66cBBAb/psjwAdx9+NxJzbetTz8MfaGCyjr4hNACCA605LzhwCi4ycEEF2VaEcFXEsBtwMQiWZ0/mQSDmyYAx+fTErtOi37Kxhp0fhtC/Xt2T+Ij8eV6BvY9NMBRC5eQwAhgGjPYC6gCCC6zpLdPxPuxz/EnXsPdL/i9nacPwQQXSe3Nn/yBWbR/TrtqAAVeAwKuB2ALFu9BVFL12HtojFmObsNmoJCBfKid6emFhLr2q/btAvjZi0hgBBAtKcpF1AEEF1nIYB/ihDVAAAgAElEQVRYKsX5QwBxZP4QQHTVox0VeDwKuB2ARC7+Dt9v3o0Vc8LNiko+SIBfFoT1CbFQWdfeFoDEJzx8PCPnYnf19PDAQ/kf5TCPjAcADw8PJFCUJN7q5ekBzpukE9jTA5CpQ1f5VxfOH+s/8pw/lrpYmz+iExsVoAKuq4DbAYhuRMM0JLr2tgDk4rVHie7/9ZZNtpDcT8DdOOaAmHzBJ5Mn/H29ce1W3H/dPZI8f1AOX1y+cY+L7USqZPXLhAfxD3E3lluwOH9S/rnIlcMXV2/cgzPefcXG38OtuFuIfXAPsQmxiHsQh7iEWGTy9IGPZyb4eGWGj3dm+Hv7I8Anq8v+jlmbP7lz+rpsf9kxKkAFALcDEFNOx8GNkciUyVuNcc3gvmjdpEaKOSD27LkFK+XpwiR0S324hcS6zzAJ3VIXbsHi/NFdkOR5IgsuXbubagC5fT8G0feuIibuFu4n3Ne9LTw9PBGQKQDZMufAE76B2t9LD0PmgKSHyrwHFXCuAm4HIHfuxqJ87Y7o3yUYza2cgnUr5g7a9ByDdsF1ULvaK7BnL/U/HjyIV9u65Bje9YvHwcPTw1wPhMfwPnJIAggXULo/TQQQAoiOrxDgrauUWgAR4Lh05wJi7sfoyJ+ijY+nD4L887gMiBBAHB5SXoAKpLsCbgcgouCmnw9AEs9NbXCPVghuWF398cbN26j8Thck/ruU7P88dRYN2gxKMjD1a1TG6IEd1N8RQAggtmYtF1DWlSGAEEB0/qXj/HEOgNy5fxsXbp9zCngk75Gvly+C/PIgh29OnSFNMxsCSJpJywtTgTRTwC0BRNSKj0/AhcvRCArMYd6KlZKKRu1N1yKAEEAIIMZ+nwggBBAdjyGAOA4gcfFxOHXjT8TGx+pIniobT3igQLZCyJ45R6q+74wvEUCcoSKvQQXSVwG3BZD0kpEAQgAhgBibbQQQAoiOxxBAHAOQmPu3cPrGKcQ/TPuDQTzggTz+eZHLL7fO0DrdhgDidEl5QSqQ5goQQByUmABCACGAGJtEBBACiI7HEEBSDyAS8fjz2m+If5igI7XTbPIHFMATWZ502vV0L0QA0VWKdlTAdRQggDg4FgQQAggBxNgkIoAQQHQ8hgCSOgB5kPAAJ6//kabbrmyNn1TeKJKjGPwzBegMsdNsCCBOk5IXogLppgABxEGpCSAEEAKIsUlEACGA6HgMAcQ4gMipjX/dOIHb92/rSJwmNl4eXiiW8zn4ePmkyfWtXZQAkm5S80ZUwGkKEEAclJIAQgAhgBibRAQQAoiOxxBAjAPIlTuXcO72WR1509Qma6ZsKJyjaJreI/HFCSDpJjVvRAWcpgABxEEpCSAEEAKIsUlEACGA6HgMAcQYgEj043j0EcgWLFdoRbMXg79P+mzFIoC4woizD1TAmAIEEGN6WVgTQAggBBBjk4gAQgDR8RgCiDEAcZXoh6nXAd4BKJKzmM5Q/197ZwIdRZU14Jt9J4GETRZlUVxAj44rbigziggqjOCoqOCwOSggywRBFFDQCAKCILLpsCogqCgKgoD8LqOjojAMjCjCyB4SkkBIQpb/vMK0WZr0K7qS9Cu/OsczE/p21Xvffbe7v6pXr/yOQUD8RsgOIFDlBBAQP5EjIAgIAmKviBAQBERnxCAg+gJSUFggO9K3BczVj+KWV9VVEAREp6KIgUBgEUBA/MwHAoKAICD2iggBQUB0RgwCoi8g2XnHZWfGf3WwVmlM7ai6Uj/2rEo/JgJS6Yg5AAQcJ4CA+IkUAUFAEBB7RYSAICA6IwYB0ReQ/cf2yeETB3WwVmlMVGiUtSJWZW8ISGUTZv8QcJ4AAuInUwQEAUFA7BURAoKA6IwYBERfQHakbauW5374zGNRkVyQ1ErCgsN8hvoTgID4Q4/3QqB6CCAgfnJHQBAQBMReESEgCIjOiEFA9ARErX61JXWzDlKfMd/nHZEtuUekbkik/DG6sc94nYCzazSR+IgEndAzjkFAzhgdb4RAtRFAQPxEj4AgIAiIvSJCQBAQnRGDgOgJSF5BnmxP+7cOUp8xC7L+KwuzdsjFEYmSktjaZ7xOQMPYRlIrKkkn9IxjEJAzRscbIVBtBBAQP9EjIAgIAmKviBAQBERnxCAgegLixA3o6spHkIh8lP0/67+mYfHSN/4iqwFNQuMkNvjMn2peN7qe1I2pr5PyM45BQM4YHW+EQLURQED8RI+AICAIiL0iQkAQEJ0Rg4DoCUhG7lHZnblLB+lpY27bt/K0r6UktZaLwxPPeP+JkUnSIK7RGb9f540IiA4lYiAQWAQQED/zgYAgIAiIvSJCQBAQnRGDgCAgOuNExSAguqSIg0DgEEBA/MwFAoKAICD2iggBQUB0RgwCoicgTk3BUkdT06/W/joFq8+vU7CaMgVLZ7gSAwEI2CSAgNgEVjYcAUFAEBB7RYSAICA6IwYB0RMQbkLnCohOPREDgUAjgID4mREEBAFBQOwVEQKCgOiMGARET0DUMrxbUzdLkQ5UHzHqZvTvc49IPZbhdYAmu4AABCoigID4OT4QEAQEAbFXRAgIAqIzYhAQPQFRUT+kb5cT+Sd0sFZtDA8irFreHA0CBhFAQPxMFgKCgCAg9ooIAUFAdEYMAqIvIPuP7ZPDJw7qYK3SmOjQaGles0WlH5Ob0CsdMQeAgOMEEBA/kSIgCAgCYq+IEBAERGfEICD6AuLEjeg6ObEbUxXPAFFtQkDsZoZ4CFQ/AQTEzxwgIAgIAmKviBAQBERnxCAg+gKiIrelbpH8onwdtFUW0zz+PIkOj6n04yEglY6YA0DAcQIIiJ9IERAEBAGxV0QICAKiM2IQEHsCkpp9SPYd36uDtkpi4sJqSJOEZlVyLASkSjBzEAg4SgAB8RMnAoKAICD2iggBQUB0RgwCYk9A1GpYO9K3iVqWt9q3oiI5t9YFEhUaVSVNQUCqBDMHgYCjBBAQP3EiIAgIAmKviBAQBERnxCAg9gRERR/NTZc9mT/r4K3UmISImtK4xjmVeoySO0dAqgw1B4KAYwQQED9RIiAICAJir4gQEAREZ8QgIPYFRL1jV8aPkpWXqYO4UmLCgsPk3JrnS2hwaKXs39tOEZAqQ82BIOAYAQTET5QICAKCgNgrIgQEAdEZMQjImQlIQWGB7Dy6Q3ILcnUwOxoTJCLNE1pIVFi0o/v1tTMExBchXodA4BFAQPzMCQKCgCAg9ooIAUFAdEYMAnJmAqLelZOfIz8e3SEFRYU6qB2LaRjbSGpFJTm2P90dISC6pIiDQOAQQED8zAUCgoAgIPaKCAFBQHRGDAJy5gKi3pmZmyG7M3+SIh3YDsQkRiZJg7hGDuzJ/i4QEPvMeAcEqpsAAuJnBhAQBAQBsVdECAgCojNiEBD/BES9W62ItStjZ6VOxwoJCpZGcedIjYh4nbRWSgwCUilY2SkEKpUAAuInXgQEAUFA7BURAoKA6IwYBMR/AVF7UPeE/C9rt2TmZehgtxWjbjhvEt9cIkMjbb3P6WAExGmi7A8ClU8AAfGTMQKCgCAg9ooIAUFAdEYMAuKMgBTvRa2MdfD4AcnOP66Dv8KY8JBwSYqqI7UiEyU4KNjv/fm7AwTEX4K8HwJVTwAB8ZM5AoKAICD2iggBQUB0RgwC4qyAFO/t+Mljcuj4Ack6maWThlIxEcERUjumrtSMqCVBQWrNq8DYEJDAyAOtgIAdAgiIHVpeYhEQBAQBsVdECAgCojNiEJDKEZDivRYWFcqxvCw5mpcuefl5UlCYLwVSIPmF+RISFHLqv+BQCQ0KkbiIeEkIT5DQkDCd1FV5DAJS5cg5IAT8JoCA+IkQAUFAEBB7RYSAICA6IwYBqVwB0cmBKTEIiCmZop0Q+I0AAuLnaEBAEBAExF4RISAIiM6IQUAQEJ1xomIQEF1SxEEgcAggIH7mAgFBQBAQe0WEgCAgOiMGAUFAdMYJAqJLiTgIBBYBBMTPfCAgCAgCYq+IEBAERGfEICAIiM44QUB0KREHgcAigID4mQ8EBAFBQOwVEQKCgOiMGAQEAdEZJwiILiXiIBBYBBAQP/OBgCAgCIi9IkJAEBCdEYOAICA64wQB0aVEHAQCiwAC4mc+EBAEBAGxV0QICAKiM2IQEAREZ5wgILqUiINAYBFAQPzMBwKCgCAg9ooIAUFAdEYMAoKA6IwTBESXEnEQCCwCRgtIalqGxERHSVRkuBbViuILC4vk0JF0SaoVL6EhIVr7U0EICAKCgGiXixWIgCAgOiMGAUFAdMYJAqJLiTgIBBYBIwVkz96D0jd5ouz+5aBFs3P7G+SpQQ9JWKh3cfAVv/Hz72TImFck+0SOtb+nB3eXrh3bWP9/3aZvpP/IKeWy9s2aWRIRHoaA/EomITZc8k4WSHZuQWCN8GpsDT+gvMNHQBAQnbKkfhAQnXGCgOhSIg4CgUXASAHpPXSCxMZEydhhveTAoSPStc9oeerxB6XjLa290q0o/kROntzQqb88+nAnub/zH2XDZ5tlwMipsnrxeGlYv7as3fS1PDFuliybNbrUvhs3qCNBQUEICAJy2ormBxQCovtx7+1BarrvdWsc9YOA6I5tHkSoS4o4CAQOAeMEJCPruLTu2E8WvDxCLm15rkVy7Evz5cChNJk6dkA5sr7i1dWPvz0xSb5dM0vCw8Os97fvlmzJyP2d/2QJyOgXX5dNb0/1mjWmYJ3CwhWQ8sODH1AIiO5HPQJC/eiOlXq1ouRQ+gkpLNJ9h/vjEBD355geuo+AcQLy48975Y7uI2TDW5OldmKClZH5y9bIO6s/LXeVQr3mK37Jyg3y+psfyKoFKZ7sPjbiJTmnUX0Z3LerJSDqisidt14rERHhcvklLeTWNld47hNBQBCQ030sICAIiO5XBgKCgOiOFQSkPCkERHf0EAeBwCFgnIB8u/UH6fboWPls5TSJj4uxSCqJmDHvHfl46aRyZH3Fz170vny4/stS8qLuB4mNjpJRQ7rLlu27ZPWGL61j7Tt4RJa8u17u69RWRgx4wDpWfgGnoRSH4GARKRLOypUYgUFBIsFBQVLAqcpSdRkaEkTdlPmkon7KfylSP95/KFA/5bl4qx/FiQ0CEAhcAsYJSPEVjY3LX7JWrNK9AnK6eF9XQMqmbvmqT2TkC3Plu3VzrKsgh46eunH9977ViA6XvPwCycnjJvTisRAeGizRkaFy9Fje7314lOp/7fhISc3MkSLc3cMlLipMThYWSU5uPmPlVwLUj/ehkBQfKWmZOZzsKYHHW/3USYikliAAgQAmYJyAeLun45lJ8+RQarr2PSAl44vvAdn80WwJCwu1UnXrvUPlwS63WPeAlN02/XOL9E1+Ub5ePVMiI8K5Cf1XQNwDUr7KmYLl/ZOPVbDKc2EKFvWj+zuBKVh69XNWYpQuUuIgAIFqIGCcgChGPYeMlxqxMTJ2WE+vq2ANGjVdzqqXKEP63mMhrSg++0SuXHFbH0nud6/c52UVrEUr1kmLZo3kwvPOkYysYzJ0zAxrud+5k5KtfXMPyKlRi4DwA0r38wsB0fsBpcvTrXEIvPfMIiB69YOAuPWTgX65hYCRArJrz37rOSC/7D9s5eGudtfJqMHdPVcwOj38pDRpXF8mjupnve4r/uNPvxV143nx9uTAB+Teu9paf058dYnMWbzK89rFFzaT8SP7Wkv0IiC/lQECgoDofigiIHo/oHR5ujUOAUFAdMc2N6HrkiIOAoFDwEgBKcZ38HC69TyQmGi9uZ4VxRcUFMqBw2lSJzHBIzLFx8nJzZPDR45KXEy0JMTHlsoeV0BO4UBAEBDdjzUEBAHRGSsICAKiM05UDAKiS4o4CAQOAaMFJBAwIiAIyOnGIT+gvJNBQBAQnc9u6gcB0RknCIguJeIgEFgEEBA/84GAICAIiL0iQkAQEJ0Rg4AgIDrjBAHRpUQcBAKLAAISWPmgNRCAAAQgAAEIQAACEHA1AQTE1emlcxCAAAQgAAEIQAACEAgsAghIYOWD1kAAAhCAAAQgAAEIQMDVBBAQV6fX/85lHcuW/IICqRkfp7WziuJz805aq4lFR0VKrQS9/WkdtIqD8vJOSnrGMamTlCBBQUE+j2433ucOAzQgNS1DYqKjJCoyXKuFduO1dhpgQU7WT3HXjmfnSOaxbKmbVFOCg32PvwBDInbrwW58oPVXtz1266GiePWZfSQtU+rWrql7+ICMc7J+CguL5NCRdImPi9X+jApIKDQKAi4hgIC4JJFOdyP7RI4kP/uqqGekqE09/2Tqs/0lqVa810P5in8yZY6s+GCT572XtTrP2l/ZZY2d7oeT+ysqKpJX5r0r015bYe1WSdTL4wbKJRc283oYO/GTZi6V2Yvel8/fmy41YqOdbHal72vP3oPWc3l2/3LQOlbn9jfIU4Mesh7Y6W2rKD7taJZcf9dj5d42Z+Lf5erLLqz0vjh1AF/1UPY4OvEbP/9OUqYt8nBeMfdZOa9pQ6eaXOn7sVMPqjG+4tU4UeOl7PbOa2OleZMGld4fpw7gZP0o8XhuykJZs/Erq3lxsdHyaI/O0r7tVU41t0r2o1MPJRviK/7Tr7bKsLGvesbLfZ3ayhOPdTNS4KskARwEAlVAAAGpAsgmHkL9GF66coPMnzrCOlv0yLBJ1sMdn/n7w1674yv+1fkr5borW8l5zRrJ/oOpcn+/Z+WBu2+R3t06GoPn260/SLdHx8r8qcOl1flNZcqc5fL+us9l7ZsTvX6R6cYrMVOCpjYTBaT30AnW83jGDuslBw4dka59RstTjz8oHW9p7TW3FcUfSc+UGzr1lxkpg6Vxgzqe99dJqmnUWUtf9VAWjK/4DZ9tln7DJ0uv+zvInbdea12RjIgIN4qJbj0Us/EV/799h0Sd1S7etv33Zxky5hX5eOkko878O1k/y97bKCnTFsvqxeOtEyTqs2XclIWycflk68qzKZuverBTP+pK0Y2dB1i107tbB/llf6qohxU/m/xX6XTb9aYgoZ0QcB0BBMR1KXWmQ3f3elpubXOF9aGtttUbvpRBo6bL1vWveZ12ZCf+5Ml8ubnL4/LYw52l6x03OdPgKtjLizOWyH927pbZE4ZaRzuUelRuunugLJs1Wi449+xyLdCJ/2rzdvnbE5NlzNAe1o8n0wQkI+u4tO7YTxa8PEIubXmuxWDsS/PlwKE0mTp2QDkmvuKLBeS9ec9ZwmvqZqceVB8rilevd/7rSGnRvLE8P7y3qUhEpx5Kds5ufN/kF6V2Ys3TniQJRHC+6qFsm33FT3/9bXln9afy7j/GSUR4mKirK7fdnyxr3pggDeolBSICr21ysn7Wf/qtPPbkFPls5TSJj4uxjqckTbGZNm6gMUxoKATcRgABcVtGHerPFbf1tc4QKQlRmzq72KX3qFIf4iUPpROv5nLPfeMD2fjFd1I7MV7GDetlnTk3ZVOCUDM+VkYMeMDT5IvadJfpzz0uN15zSblu+IpXU5bUF+3kMY9a8/nv7DHCOAH58ee9ckf3EbLhrclSOzHBYjB/2RrrR5ASs7Kbr/hiAbn52kslvkasNcXoznbXeX44mDJWdOpBt34KCgqtaWmKycn8fDmenSvX/OFCefje9hIZoXe/TSBw81UPZdtoJ16JfPeBz8tHb0yQswz6oe2rHuzWj/pRra4uq6my6uryB+v/aV35ME1cnayf77f9JEpOv3hvujUlTW2LVqyTN95eZ4kaGwQgUD0EEJDq4R7QR1Vzr1ve1KPUD+viL8q1b74o9esmlmq/bvyJnDwZ8fxs2b5zt6gpNc8N7y3169QKaBYlG6emSrRo1lgG9+3q+Wf1RTlqSHe5ve3V5fpRUfx1V7SSrn1GyUNd24maj7xz114jBaR4mkzJs4tLVm6QGfPesabClN18xR87fkJemr3MGh/qBlQ1hUT9mHpzxtMSHh5mxFjRrYfizviKP5p5zBLVLh3aSOsrWkpm1nHrDK4ac2rsmbI5WT8l603x+0vfMXLZxedJcr97TcFhtdNXPditH/UZmzx2hmSfyJWfdu+Tg4fTZcoz/aXt9ZcZw8VXPdj9/omOjpQODwyTc5s0lHvuvEkysrJl8Yq1osQeATFmWNBQFxJAQFyYVCe6pH5Yjx3WU2658XJrdzpXQHTj1RdMr6ETpF7tWtZVFlM2dUZWzase3r+bp8m+roCcLj4nN9ea0vZgl1tFrWOUlpElK9d8JvfcebN06XCj1yldgcipWEw3Ln/Js0CBzhUQ3fhde/ZLhwefkMXTR1oLIZiyOVk/+w6kWgKy6e2pntXjlq/6RJ6buki+XPWK1kpsgcDNyfopecVx7aavZcDIqVJyTAVCf3Xa4HT9qMUsvtv2o8ydmGzdxD9v6WqZMONNefu1Z60f4KZsTtaPmnalrjbPWvie9b8N6ifJth0/S6MGdZiCZcqAoJ2uJICAuDKt/ndK/eBpd9OV0vO+262d6dwDYid+3JQF8tOe/Z77KfxvceXvQc1J3/HjHpk5foh1MJ17QE4XHx4WKuv+7xtPo9WNkguXr5U+D3S0zmw3O8eMVXy8zUl/ZtI8OZSarn0PSEXxasnZK9v3lbmTkuWqSy+o/CQ7dAQn60ctuavusykpYUveXS+jJ/5Dtnz8mjEr+ThZP8X3XKlVn+54aLjcdvNV1j1lpm1O1889fUaXuhKkbtJvdXMPa1EIdXLDlM3J+im7VLpaMUsJzrBH77MWQmGDAASqhwACUj3cA/6o6myRWlFFrYIVHRVhLbNachWs15d8KOs2fWOtCKW2iuLVtJqZC1ZaK440PKuOdTWl5+DxltyoH9ymbL+tyjNCWl3Q1JoqtGrdF55VsNQ8dDU15sWn/yZnN6zrmV6hGHqLL9lvU6dgqT70HDJeasTGWFfMyq6CpaZR9Xg8Rf56b3vrR6KveLXUrLo6dPUfLrKW8Z086y1rGtbaJS8adR+Ik/WjmKk57OrHpLpfKDUtU4aOecWaCqn+NmWrjPopvhJk2vgomTMn60dJ6dpP/iULp42URmfVlo8++Voef/pl425Cd7p+1L1lNeJi5Eh6hkyds1w++eI7a6Uwk1YGM6XOaScEdAkgILqkfmdx6syzmjKhPqjV1rJFE+uMtnr4ntrGT39D1Fz/rz6YYf1dUbx67aEBz8l/ftjtoXhXu+usZ0WolVpM2dSUhpdfWyEz5r1rNVl9ec0cP9iz+tP6z76VR4e/JMvnPCMtmjWypkBUFO8WAVHTpJSg/rL/sNUlldtRg7tLWFioZGQel9Z39JMnBz4g997V1nq9oviPPvmXDH9utqizlGpTU9jGj3xErv6DOc8A8VUPdutHxSu2A5962VND6mrQCyP7nva5PIFYU77qwW79qAeb/rHrIGsaY/FqfYHYb19tcrJ+jmYck8mzlsn7676wDqtOhHTv2k46/OkaX80IqNed/P5RHVNMlNSo7fqrWsnoIQ8btVRzQCWHxkDAIQIIiEMg3bobNUVALZt7ugcQlu13RfHqS0WdgUqqlWBdVTF1y8nNk7T0TKlXJ1Fr+ovdeFO5qBte1apmMdF6zxs4XXzxU5wVB92nzQcqMyfrR/VRTfsLDQ3x3AsSqP2uqF1268FuvIlMVJudqh+1L1VDalqnus/O5M2p+lE35avvHvWZfboHpJrMibZDwEQCCIiJWaPNEIAABCAAAQhAAAIQMJQAAmJo4mg2BCAAAQhAAAIQgAAETCSAgJiYNdoMAQhAAAIQgAAEIAABQwkgIIYmjmZDAAIQgAAEIAABCEDARAIIiIlZo80QgAAEIAABCEAAAhAwlAACYmjiaDYEIAABCEAAAhCAAARMJICAmJg12gwBCEAAAhCAAAQgAAFDCSAghiaOZkMAAhCAAAQgAAEIQMBEAgiIiVmjzRCAAAQgAAEIQAACEDCUAAJiaOJoNgQgAAEIQAACEIAABEwkgICYmDXaDAEIQAACEIAABCAAAUMJICCGJo5mQwACEIAABCAAAQhAwEQCCIiJWaPNEIAABCAAAQhAAAIQMJQAAmJo4mg2BCAAAQhAAAIQgAAETCSAgJiYNdoMAQhAAAIQgAAEIAABQwkgIIYmjmZDAALeCWQdy5avNm+XqMgIuebyi0oF5eadlE+/3CISFCQ3X3tpuR18s+UHOZqRJS3Pbyp1khJKvf79th8lNS3D+rfg4GDr9fObny3BwUGkAgIQgAAEIAABGwQQEBuwCIUABAKfwH9+2C1393raauiKuc/KeU0behq9fNUnMvKFudbf36+bKyEhwZ7XTuTkyeXtelt/P/yX9jK4b9dSne0/coqs2/RNqX87u2FdmZEySBo3qBv4YGghBCAAAQhAIEAIICABkgiaAQEIOEOgpIB0+NM1kjKij7XjgoJCad8tWX7Zf9irgKze8KUMGjVdWrZoIvsOpsr6tyZLaEiIp1FKQA4fyZDF00fKyZP58u3WndJv+GRp2ri+vPnqKeFhgwAEIAABCEDANwEExDcjIiAAAYMIFAtIz/tul9mL3pcPFqZYVyjU1QslEQ92uVXmLV1d7grII8MmiZq+1a/7XdJzyHiZOX6IXHtFS68CUvyPk2YutY7xrw9nSlRkuEGUaCoEIAABCECg+gggINXHniNDAAKVQKBYQNRVib8/M0OuuuxCeXrQQ3JPn9Fy+SUtpGZCnChxKDkFS93bcWPnAVZc59tvkJv+PFCuvbKVPD/81JQstZW8AlL8b2MmzZM33/lYvls3p9TVkkroFruEAAQgAAEIuIYAAuKaVNIRCEBAESgWkGWzRsv2nXvkyZQ5lkgMGzdT1i2dKO999Hk5AVm4fK2Mm7JANr09VWolxMn46W/I60s+lC9XzZCY6EiPgOw7cMS65yMj85h8+tVWSZm2WO7ucKOMHtID+BCAAAQgAAEIaBJAQDRBEQYBCJhBoKSANDv7LGnbdZCkHc2SLh3ayKgh3a0pU2WvgDL/kgsAAASrSURBVKib1sPCQiVlxKkrHlu3/yxDn3nFEpeOt7T2CEjZm9Dv69RWHu/dRaKjTkkKGwQgAAEIQAACvgkgIL4ZEQEBCBhEoKSAXHDu2TJ/2Rp5/uVFsmpBiqhVq8oKyM5de+XOHiO89lAt4zt7wlCPgPy854C8MLKvREdFSP26SRIW+ttN6gYhoqkQgAAEIACBaiWAgFQrfg4OAQg4TaCsgKhnf+w7kCpNGte3DlVWQKbMeUtenb9S3nltrHUVpHh76/2NMmfxKmvaVr3atbzeA+J029kfBCAAAQhA4PdAAAH5PWSZPkLgd0SgrICU7XpJAVGvtfnzALn+qotl3BO9SoXu2XtQbrs/WYY+8hfpfk87BOR3NIboKgQgAAEIVC4BBKRy+bJ3CECgigkUC8hbs8fI+c0blzt6SQHZ/O+d8mD/cTIjZbBcf1WrcrFq5ay8kyetBxp6WwWrirvG4SAAAQhAAAKuIICAuCKNdAICEIAABCAAAQhAAAJmEEBAzMgTrYQABCAAAQhAAAIQgIArCCAgrkgjnYAABCAAAQhAAAIQgIAZBBAQM/JEKyEAAQhAAAIQgAAEIOAKAgiIK9JIJyAAAQhAAAIQgAAEIGAGAQTEjDzRSghAAAIQgAAEIAABCLiCAALiijTSCQhAAAIQgAAEIAABCJhBAAExI0+0EgIQgAAEIAABCEAAAq4ggIC4Io10AgIQgAAEIAABCEAAAmYQQEDMyBOthAAEIAABCEAAAhCAgCsIICCuSCOdgAAEIAABCEAAAhCAgBkEEBAz8kQrIQABCEAAAhCAAAQg4AoCCIgr0kgnIAABCEAAAhCAAAQgYAYBBMSMPNFKCEAAAhCAAAQgAAEIuIIAAuKKNNIJCEAAAhCAAAQgAAEImEEAATEjT7QSAhCAAAQgAAEIQAACriCAgLgijXQCAhCAAAQgAAEIQAACZhBAQMzIE62EAAQgAAEIQAACEICAKwggIK5II52AAAQgAAEIQAACEICAGQQQEDPyRCshAAEIQAACEIAABCDgCgIIiCvSSCcgAAEIQAACEIAABCBgBgEExIw80UoIQAACEIAABCAAAQi4ggAC4oo00gkIQAACEIAABCAAAQiYQQABMSNPtBICEIAABCAAAQhAAAKuIICAuCKNdAICEIAABCAAAQhAAAJmEEBAzMgTrYQABCAAAQhAAAIQgIArCCAgrkgjnYAABCAAAQhAAAIQgIAZBBAQM/JEKyEAAQhAAAIQgAAEIOAKAgiIK9JIJyAAAQhAAAIQgAAEIGAGAQTEjDzRSghAAAIQgAAEIAABCLiCAALiijTSCQhAAAIQgAAEIAABCJhBAAExI0+0EgIQgAAEIAABCEAAAq4ggIC4Io10AgIQgAAEIAABCEAAAmYQQEDMyBOthAAEIAABCEAAAhCAgCsIICCuSCOdgAAEIAABCEAAAhCAgBkEEBAz8kQrIQABCEAAAhCAAAQg4AoCCIgr0kgnIAABCEAAAhCAAAQgYAYBBMSMPNFKCEAAAhCAAAQgAAEIuIIAAuKKNNIJCEAAAhCAAAQgAAEImEEAATEjT7QSAhCAAAQgAAEIQAACriDw/5iurP5i+ZV8AAAAAElFTkSuQmCC"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# For this plot `MAP` and `MAP_debiased` metrics were chosen in interactive MetricsApp widget\n",
    "# Metadata colouring was enabled\n",
    "fig = deepcopy(app.fig)\n",
    "fig.update_layout(title=\"Debiased MAP winning model in <MAP vs MAP_debiased> axes\")\n",
    "fig.add_scatter(**get_leader_scatter_kwargs(\"MAP\", \"MAP\", \"MAP_debiased\"))\n",
    "fig.add_scatter(**get_leader_scatter_kwargs(\"Serendipity\", \"MAP\", \"MAP_debiased\"))\n",
    "fig.add_scatter(**get_leader_scatter_kwargs(\"MAP_debiased\", \"MAP\", \"MAP_debiased\"))\n",
    "fig.show(\"png\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "90439dbf",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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qVCls+XRcWN9ODdGuSU189+MuDBojeVKiXJnn1eEdfxw8oeb95hUT8VSOLHFOGS0MJLZDdsflntD3VM9hU7Fr7xF8v2Sc2qRxJkCMPj/jEiDn/r2CGs0GxWldiW+uGx1zqcPdeauvaz9/7a3fzuaRdkXTzz/hLzwlzfy4j23Dxsh4GX3uuPMsk3gl2RSUcZZ3vyRZ+LdvWjNBFs4hH89Rm1Ii0LNlyYhLV2+o95fMw/ULx6i4HpnH7ftNUC7mImRlo1CSHNrRsudYdc/IhoiIZKN9Hj5xgRI+8jwoU6IwLl65ofoj/xYXbCYSeBwEkoUAsd9R17v1evEqCyNR+bK7Lw83bR7/5espandZCxB5aI4a2Na2CzF/xQa1u9WgdkWM6N861otUD5Ys9mTHWsdIyClZvYZNxdYd+6FfwnpB7BisLbuVsvMj7k86QE8eLvJiy5A+SF1CP6Al6HBgtybq4fRu22FqgfTFhP62HVT5vVbzaL90dwSIvMzL1+mmdr1lAVC1cX8UzJdLtUFYORMgeqG067uZ6pSc2YvXY9r8rzG8X2s0fLuibR7HJUDkBdNxwET1IBWhE1cSN4O+I2big94t0OSdKpCXwSu1u6o+ygN713czFHctmhZMHoyXSz2nXMPiEiAiFt7v0Rw5s2VSLDv2n6h2zu199nX/xKrRvmlt5dYnD3oRuXJtHZQf38JMROvoQe1sFrSZC7/BjIXfKOErAliSfhmJpa11w+o2DBJbI+NuL1acMdKLcGExakAbZaGReb7q220Y+elCxeijQe1ULIz8rjlNHtld/SZJuxN9MqwzalV5Rf0mlpt32nyg/vvnNZPVqW+btu1B3xEz1K7rtI962Vwd9cLOXoAYvfesECDSRzlAotab5dROocT/tOv7ibIIzh7fz9AzVcZx/aZf8fmX3ypBKnW2blhN7XiK5cExyXxp22e8+lkW7mJle+6ZvHj+2XzqYAz7ZH+/ygJD/11O3Knd8n1llV07/yNVRM87mTtyeIKIPLH05MiaUbmaihg3+jwzMv/EDVLmhMzz7m3q2VxUZePh6w3/Z5t/8c1zx+emiHwR+/ZC3VE8xueCJTvoU+Z+FetQENnxF9HiKEwcx0aeQ/I8chSgMl4ybnojRzYsZOEn4k5bP6WfK9dvVYcpaIHubALZC5DIqCj1LOvR9l3lgirCQMZO5o4c0uFMgBh9fsYlQCSAf87S79RzRG+kGZrogHJ9NTLmCZm3slhu/t5bakNJLP4NO41Q95MWdM7mkfxdnk327k3yXpSystCfNKKr6pqR8TL63HHnWWbPVQ6ekNhCeS9JkmehWOJfKW08jlE2srJnyRjjEBvxeJD7e3jfVmreSLLfnJIDTvLkzIbaLQerzc6180cry4kkI30WIf5Sjc5KbPyw9BPbyZByjfWbd6g+MJHA4yCQLASIgNMvOVm0yc1ZvHIb9f+ys+2D/1wxZi76Rr2g9GI1rhgQefG/WK2jqmPT8glqbJxZQOR3ER1nzokJWdyw7qpjScVcrHc39YJFdpgnfNglxs6eHnRxnxFXBVkIyqleOgU/eKheZLJzumTaEBw7dR7vthumrDJinbFP7saAiAWke9t6Np9v2WkRK4wWNs4EiFg65Dr2u/76tCtHVxUtQKTtzd97E+JP+/ep8ypmRJK9gHI2+cU9qeJ7vdXCWLjIjo2MgeyqiWuRHkPZyZQdsr0/fKEWxvEJkG8WfBRjN3v5N1vw0WdLMGlEN2V10gtBZ6e6yAJcXl7bvvpMLUzjW5g5nqqmx61pvSoY2quFmjN6jm74cnyMXXSj/thagNi/qKX9IiBESIqwlYWYTnrnVLdBFhklq7RzOpe0YNK7kLrvYumRsdfJMQbEvl+u7j0rBIhj3/VmRNbM6SFcXSVZyImrlQhLuddld1xOsbLfPXdWh7i1fTZntdqtt08y18VNT7tViitl484j1cLig14tYuQVq4jM6f2b56hFgV6Y6n/rzO4wjet55jj/pG5ZlEi/HV3JHOefO/P8UWgYSlftEO9zMz4Bot2T7J9v2sJpvxkU17g6sw7o+8H+mSVuUmIdtN9ldzVX9N/tBYgcolG39VCIG6NsAIhw27FuOnx8fZwKEHeen/o6MndeKvkcbty6owS27MiLSN64dHy8LprO+mN0zN2dt86el3oTT8dKOZtHuo1ijRYXOnnmyz0lz2R7ce5qvNy5R4w+y+KaD+JxISJOhIMkEeF9OzdUYtNounTlhnJdFKEm3hDini3vXxFxOumNOnkuyaaguEnaz1ejfS72XH51r4vleumMYepkOyYS8AYCyUaAaJceeXnfuH0PbzbsGy9fOTZWLBLxBaHrXbe/ti5Qu6vOBMhP2/9Qu82OCxG5+LQxvVD51VLK37Ry/WjXAkmyO1uy6DN4r+Ybtp0f7dYRV6O1qVQv+GShJO4E9imhAkS/tKUuefHreBBnAuTzJd+q2BPZ8dMLdiknpmHpn737gv1pW/btlL6MGdRe7SC5SvZ9kp1VefBvXjEBr9XtoVwxxCVDfHTFL3fhZ4NVde4IEH1ijZ4PUj6uoEo9Rj+umIhcObK4JUBkgSJzUruO6X87O0XHrAC5fScYr9btbhNumrG87N54t5dNmMQlVCS/nmcilkSwaDc7xx1oRwGi+xXfuGrWiSFA5LpyNHJYeLgh14KiFaOtmzInP/+kXwxx6mpuikXu75PncPz0eRz6+4zaeJAdXUna2mF/IlJc9en5FNe8c4dpXM8zx/mn54IzK6QZASJ9dPXcdBWErheI2iqpLTJGjmuW62trh2wcyeJNRKZYDbSbqeQRAfnhhPlqSMSK9WKJwqj0ailUKv+C08NK7MfOXoDIM0xcasSaKUnHg+hjdh0tIO48P+1P27K/vlirxeLpbiyCO2NuxbwVoSTxmdqNyJkAEU4jP11ksyrY99NegLgaL3fuEaPPsvjuf7n3xXqgT4J0PGglrrIisgaN+cLmJmufT3s52P+mrV3ym1gq5b2rkzt91pt0UlbctksVfUa9B1x9+8zVM5B/JwEzBJKFAJGFrwgQeTDLIlTvyMvORAM7lyB7UOKqIw9wIwLk0M8L1EvJUYDoha7sRokloUSRgngqR1Zs+fUPtYOjBYhcV44OFveCDVt+sy1S5HftDqNdYeQB4yzwWK4hJn79IBbXGscz9BMqQKQdEhgqi0l7VxpnAkQ/vOOadPY+q1qAaFN1isAAdVpMfIHVjvWKaVp2mkTYyMJCdhwl9qPH0Cn48/BJfDV3tPK1Fm46ENwdAaLdvIwIEG3uTogA0Tu7WoBo0ecseN+sANGLH2050kxv3bmnhJu2jOj7xN5dRueVxXT3IVNsiwfZQXN2wIGjAHHn3vMGASIuhotWb1JB35IkHkO+i/PyC8+5XIg6zlVZWI+dtlTFKIkbjgRC69gFYS6+186S3Ndyf8clQNxhGtfzzHH+aRcwZwsnqwRIXM9NVwJE378yL/t3aaQsCbJoWj5zmKF33catu9F/1Cz1TOjU4m2b6+TPX30W4zhxuY6IE/tvucg748sZH8R5MIY0wFGAiNVHNhfkPSRWCXmvxCVA3Hl+6uvIzvhrLxdX7q65c2VT/5+Q5M6YWzFvtQAZ0KUxWjeq7nTDRr9T5b6TZ2P+3DmQKWM61G4xWL0ntHui9De+8ZLnqXzbysg73+izzBljEVHf/bQTc5d+bwua79CsllpnxOe2J3XpjSH5bxEb8uzPnSsr7t67jwYdR6jfxM3aPokrt7zrJI0a0Bbv1Xrd9md3ngti7ZYYEPmfjhGUihytLgmZVyxDAgklkOQFiLhcyC6EuOR0a/0OurZ+R/lNi/uUo0uQM0hxvbB1vIHECmhXJ0cBohfH4msuVg2ddNyGvQCxv7bsRMlJQuJypV+s2uXF1bcxdHt7tX8v1kkxZgSImIF//L8/0L5JTZuPqKMAkZO35EEpba76enQMgU4hoaGQBaW960R8QehGJ6ycVtXjg6lqMSeLBb2Laf+xQfl98dQhtlOxkoIA0XNUFp67v58V46QTTwkQvSOphbv9mPznmtZV+WJr9yDHQwMcBYg79543CBDdZ/n2zbJvtigXREmy+9q+WW01z+2/kSN/k5e543dxdD06cFdbtnRMipzOJye0xZfiEiDuMDUqQLT7nrMYBTMCRMRF+TrdkTtnFtviMa4YkLjidMS1pEazgWqBJxs7Mk+cHXkcF0vhVeGdnuqkHykn1lnHExLty4qFWty8xMIqLnGuXEMdBYjUJQc3XL1xS8UMSnImQNx9fsYVA2L02emYz50xt2Le6meIdtt0tIDoDRFnH3KVDUVHAaL742y85EREo+98o88yx3e2jMeClT/Y3DXlnSSxZ+L2ayTZv8vsP5CrN6McBYg8k+q2+UBt/Ejsh7hL2rsQu/NcsG+fihPdfVBtkjo78MFIX5iHBKwgkKQFiNw8avG5epPa+Vjw2SC1kyhJB63Zm901MHnJyC5V5ozp4rSAaBN0s3ffVKcpSXJ8kcoum+y2zZs00BaIJouTT2Ysh5x0ogWIBNXJQ8Q+QFUeorKzJw8DOVVL+3uKaFrw2eAYO3CS58DhU8plSbvNyEJfXBLEd1ySDhx25xheHQMS10RyFCD6+yCOcQC6vH6w64ekFQLEftdIrrNv8xyIJUXiSSR4Xqc/Nn1hOzozKQgQ+/kkgZb6SEU5+UQEtSy+jAahO8ZBGLWASBv0GNuf9iZzuEGH4SroV3/jQJ+iYr8QlIWiuOPJPWhvOTN673mTANHzSNh99f0vSojI80X8puW0K9mN10kWRwO7NrEFvtvfP3Jwhfi+611fvciS55IEPNt/OE74bdu5H5Vfi46pie97CkaZGhUgcj19nLC926Q8a8TyJVYBPf/ciQHRi077nVVnrqvi+iauT3HF6eiYOGmnsJNTpuS+N5r05pC4YMm9pK2Wurw83+W4dPsjwPXpVHKkrrhSxZWcCRDHvM4EiLvPT6sFiDtjbnbeihCV0/Vkl37L6knIkTVTLAuIuCPVaT001kahjpOxd8EyMl5G7xF3nmUy98dNX6osB5Lk/dy2cQ28Ue4Fl6ffOc4JfTiI3ijVf9cWO3sBIqeySdyLnIYnrohiJek8aJK6Z1Z/MdIWxG6kz+K9IWsQ+01Subac2CaxqkZdG43ee8xHAkYJJCkBor+ELotPsSJo07m8ZOQmFUGhkz5JQ/4t57oXe66ACnCTHUpZ7OubTr+wpQ4xAcuDUhZesoiQZH/8reOLVIKpR01erPyM335LTtoCJCZEHzGpBYh+8IgbhuzUpAwMxC+/HVDixX5nVEytYnIVcSFtSZM6Ff4+eRY//Pw7ShUvZDvqVftIy8NQvishR6lK8KMkd4/hlR3GuJK9AJFA/orv9VKLMh3s7VhOv8C1sLFCgMg1tE+54ylicvqMjKXjLm5SESAiNlr3jj5OWRam94IfKkFqezEt/STegMG4gtDdESBa+Mq8kV3iNKlSqhO45N6S+2ZYn5aqOTqIWf5bTuxKkzqlmqvanG8vQIzee94oQDR7casRd0kRV5kypIvxHRAdNyKLAXkmPZP/Kcgupv7ekOMiYenXP6qDHmQhLQtzOeJV3GF+2fWnelboY73jEyBGmbojQLRYkLlXv3ZFBAc/wLc/7rTFqhkRIDJvxBVU6jhy/KyyREs/ZcGvT/JzJkD0h/hE2MnpYRcv34hxopN2q5XxcLVR4uz5ZT9fnVladFDuOzVeU8eiywaOiE7ZaXYV3J0QASIWdXefn4khQIyOuTB1Z97KQllOD5P7QRbPX2/YrhbP9id1OQpZESkigmWsxV30+cL5ceL0BTWHJNkLECPjZfQecedZpr8DIgcYyJHb9t+3MbrI0vn0deX+kO945MiWGXv+PGo7kttegGgrpHbllDq0qLZ/Dxrpc2CAvxJ68p58o/wL6lS9oyfOqWebHJqxaMr7Cf5mkrsMmJ8E7AkkDQHyv2NFdcPlBpZTbgM8GOAAACAASURBVCQQWB5cVd94KcaxdjqfPADHTVtmO79b/y5lBnVvqgSLXoDJokF/+0PyiaiYPLJbjLO+HV+kslM8fMIC2wNTyol7khzJKS+P6WN7qSM642qHmOvf79nMtrMnJlU5b3z+8o0xFqLSNolvkA87SRIB1mf49Bi+y+ps+592qQ8zujqGV+88uXIL0QJEjp2VIwjl/P74gu30w1qfHKav4yzGwJ3bUO8cThndA29WeNFWVMfD2D+k5Y+//XEE7fp9ok6bkgBqSTqYz/77BPK7jgGx39mPayGoj7D8adUkdYyvfqG+9XoZ28cp9XyyP1JRrqN98OVEG/mbTsJ16Vc/qpNQ8jyVTc0XsXaJD7arI0fvPwjByzU7xziuUuqVeKNytbuqQxYktkUnbU1yHENxoxry8dwYc04Wyj3bvmuzsEkdjoGpMi9fe7mEWqh8PESOu46en5KM3HszFqzFzEXr8PW80bbjr+OaF473Xlx9l/LiiigLPn16nTtzzTGvWClOnf03RnC6BJ+KONHf8rAvI/OtU4s6MeKcxE1UNhEmzFoRI/5LxX3UrWQ7+cbVF6WNMHVn/snza/Lnq9UHLHXS3yQR/31t/XI2z+03bvR3Q6QOWaCNfb99jABpZwJEng1yLLWcKidJWOzZODsGfr27+9PKT9X3EdxN2iLr+NyQesRSJcca2wt+mc/y4TdXh2PoDaX43GX1Pag/FrjvrxNuPz/1dRLyTZu4WBkdcynvzryVuamtTfraIj56tn/PZmVyNo+Eixxbb3+Ii1gIxNXJ3o3P6HgZuUfceZbJRoR8FNbxQ8DuzkWdX+acxBLqpMW/PAtlY0eOZBerhFgnRDDMmTjAZmmRtsiJerJpYR8D6qrPfr6+GDVZAv2j7zWdZG7Ku0jiMplI4HEQSBICxCwYWdjLh3dSpQhE1iwZ4vTflpfGv5euqe8eyMNUTJdGkiwuxbqSOVM6ZUGJK8kD+PLVG+rPsvsRl++oPPjFwiNCQx5QaeMIOpTriqk8f54cbrknGOkT8zw+Aq4WoonRMlloy0JS7hV52cbl7iK7m2fOX0b6dGnineu6jUbvvcToU2LXKYu5GzfvqqO3xUoiRzO7+vq6WKeuXr+lAlZlA8ToM8a+L1YzvRf8QI29bOjYf/wvPn72lhaxgFy5fkt9EDWuZ1VcdckzV9xL5NsI9rE2zo6rtXo85Tkr3/eR/4klJ3PG9C7Hz+o2PK763B1zI/NWRL984Vs2B+Sjqq6OstZ9l4W13vyTxXB870Wj42XkHnH3WWbVWMmcv3DxKlKlTKE4uXpmGL2uqz7L80o2CWV8ZF1h9F43en3mIwF3CTwRAsRdKMxPAp4gIOfJr9+0A2VeeA65smfGg4ePsO6HX9WpTPqIYU+0g9cgAXcJxHd6oLt1Ocs/duqXKo5OPojqyiJhxfWSah1ilb12446h5g/u0dTQpoGhypiJBEiABEwSoAAxCZDFSSChBPTHvhzLy4Lr0w+7KisDEwl4I4HEFCD6gAmxxH23eJxlO8TeyNFsmyQ4WqwZRpJYqnRcjpH8zEMCJEACiUmAAiQx6bJuEoiHgLgAiAg5fe6iWkSIW4588bbk80+TGwl4NYHL125i555D6oOqcmiGlUmOH5VjYOXUQN4LVpJlXSRAAiTgPQQoQLxnLNgSEiABEiABEiABEiABEkj2BChAkv0Qs4MkQAIkQAIkQAIkQAIk4D0EKEC8ZyzYEhIgARIgARIgARIgARJI9gQoQJL9ELODJEACJEACJEACJEACJOA9BChAvGcs2BISIAESIAESIAESIAESSPYEKECS/RCzgyRAAiRAAiRAAiRAAiTgPQQoQLxnLNgSEiABEiABEiABEiABEkj2BChAkv0Qs4MkQAIkQAIkQAIkQAIk4D0EKEC8ZyzYEhIgARIgARIgARIgARJI9gQoQJL9ELODJEACJEACJEACJEACJOA9BChAvGcs2BISIAESIAESIAESIAESSPYEKECS/RCzgyRAAiRAAiRAAiRAAiTgPQQoQLxnLNgSEiABEiABEiABEiABEkj2BChAkv0Qs4MkQAIkQAIkQAIkQAIk4D0EKEC8ZyzYEhIgARIgARIgARIgARJI9gQoQJL9ELODJEACJEACJEACJEACJOA9BChAvGcs2BISIAESIAESIAESIAESSPYEKECS/RCzgyRAAiRAAiRAAiRAAiTgPQQoQLxnLNgSEiABEiABEiABEiABEkj2BChAkv0Qs4MkQAIkQAIkQAIkQAIk4D0EKEC8ZyzYEhIgARIgARIgARIgARJI9gQoQJL9ELODJEACJEACJEACJEACJOA9BChAvGcs2BISIAESIAESIAESIAESSPYEKECS/RCzgyRAAiRAAiRAAiRAAiTgPQQoQLxnLNgSEiABEiABEiABEiABEkj2BChAkv0Qs4MkQAIkQAIkQAIkQAIk4D0EKEC8ZyzYEhIgARIgARIgARIgARJI9gQoQJL9ELODJEACJEACJEACJEACJOA9BChAvGcs2BISIAESIAESIAESIAESSPYEKECS/RCzgyRAAiRAAiRAAiRAAiTgPQQoQLxnLNgSEiABEiABEiABEiABEkj2BChAkv0Qs4MkQAIkQAIkQAIkQAIk4D0EKEC8ZyzYEhIgARIgARIgARIgARJI9gQoQJL9ELODJEACJEACJEACJEACJOA9BChAvGcs2BISIAESIAESIAESIAESSPYEKECS/RCzgyRAAiRAAiRAAiRAAiTgPQQoQLxnLNgSEiABEiABEiABEiABEkj2BChAkv0Qs4MkQAIkQAIkQAIkQAIk4D0EKEC8ZyzYEhIgARIgARIgARIgARJI9gQoQJL9ELODJEACJEACJEACJEACJOA9BChAvGcs2BISIAESIAESIAESIAESSPYEKECS/RCzgyRAAiRAAiRAAiRAAiTgPQQoQLxnLNgSEiABEiABEiABEiABEkj2BChAkv0Qs4MkQAIkQAIkQAIkQAIk4D0EKEC8ZyzYEhIgARIgARIgARIgARJI9gQoQJL9ELODJEACJEACJEACJEACJOA9BChATI7FxRsPTdYAZEobiJSBfrh5LxQhoRGm63tSK0ifJgDhEVG4HxL+pCKwpN85M6XC5ZsPEWVJbU9mJXI/p04RfU8zJZyAPBsfhIQjJCwy4ZU84SV9fYBsGaPv6Scp5cqc6knqLvtKAkmOAAWIySGjADEJ0MLiFCDWwKQAMc+RAsQ8Q6mBAsQ8RwoQ8wxZAwmQgPUEKEBMMqUAMQnQwuIUINbApAAxz5ECxDxDChBrGFKAWMORtZAACVhLgALEJE8KEJMALSxOAWINTAoQ8xwpQMwzpACxhiEFiDUcWQsJkIC1BChATPKkADEJ0MLiFCDWwKQAMc+RAsQ8QwoQaxhSgFjDkbWQAAlYS4ACxCRPChCTAC0sTgFiDUwKEPMcKUDMM6QAsYYhBYg1HFkLCZCAtQQoQEzypAAxCdDC4hQg1sCkADHPkQLEPEMKEGsYUoBYw5G1kAAJWEuAAsQkTwoQkwAtLE4BYg1MChDzHClAzDOkALGGIQWINRytrOXKtVvoPXw6hvZqjmKFCxiqevjEBXgqRxZ0bP62ofzelun+gxC8XLMzfvl6CrJkSv/Ym/fLrgOYvWQ9Fk95HwEB/i7bc/DIKXw8fRmmju6BrJkzuMzPDK4JUIC4ZhRvDgoQkwAtLE4BYg1MChDzHClAzDOkALGGIQWINRytrOXcv1dQo9kgzPt0IF558XlDVTfpOhrP5H8Kowe2NZT/UWgYSlftgLHvd0Ddaq8aKpOYmYLvP0TZWl2w7avPvGIBv3bjdnwwfh7+2PQFUqYIdNn1HXsOoeOAidi0fAJy58zqMj8zuCZAAeKaEQWISUaeKk4BYg1pChDzHClAzDOkALGGIQWINRytrMUTAiTkUSherNYRHw1qh3o1KljZ/ATVRQGSIGzJuhAFiMnhpQXEJEALi1OAWAOTAsQ8RwoQ8wwpQKxhSAFijOPDkFB06D8BNau8gr0H/sb23X8hZ7ZM6Ne5kXIZmjJ3DfYfOolyZZ5Huya1UPL5p20Vf7t5J+av2IDjpy/g2YK51d9rv1XO9vc7d+/jk5nLsfmXveq3ooXzY8+ff8ewgJy9cAUTZ63Ab/uOImWKAFQoWwL9uzRGpgxpVRl3LSDdhnyGbTv/VLv12mWod/v6+GzuGgzs2hgl7Nq/cetuLFu7BTM+7o0z5y5hwswVSrSIlWD/oRPKTeyD3i1QvEhBW5+Ez+dL1qu/yzXqVn8NHZrVRoC/n1PgRgTIgSOn1LUb162MFeu2qrpfeuE5jBrQBof+/geLVv2A0+cuqba1aVQdObNnVtcKCwvHrMXr8P1Pv+HCpWsoW6qIGjfhrNOJMxcwfsZy7Np7WDHNlT0LDh07E8MCEl+fjFhAVq7bit37j6JcmaJY9vVPuHDpOhq+XRGtGlZHtizRblty/U8/XwUZ7wcPQ9R8adO4BupUjbZSJZSBlHV3TIzdGYmXiwLEJFsKEJMALSxOAWINTAoQ8xwpQMwzpACxhiEFiDGO94If4JXaXVXmt6uWVwJj/eadEN9/SfVrv4HCT+fF6m9/RkREJNYvGqt+/37Lbxg4ejZefakYqld6GT/8/DtksTphWBfUrFIWkZFRaNJllFrsSh1lShTGb/uO4JsffrUJkKvXb6NS/d4oXfxZtWC9eece5i79Ti2gZ4/vlyABsvq7bRgxcSFqVXkFpYoXUnXUrfYaqjXpj3IvFsUnwzqr36KiolC39VDky50d08b0wvbdB9F50CSkTpUSTd6pDB8fHyVOJP28ZjKC0qSy5RFOb1Z4UTGat3wD+nVuiLaNazoFbkSA6GtLBe2a1ET2rBkxe/F63Lx9T7WnRf23kC5tGsxY8A3eq/U6Bndvqq4l/ZT+Ct8ihfJh8epNaoH/w7JPkCdXNly7cRsV3+ut6pDFfo6sGbF246/Y99dxmwDR146rT0YEyKTPVykO0u6Gb1eCn58vPpuzRgmz3h3qq7Zu2va7EpkvFH1GuX5t3bEP3/24C0umDUXp4oVsbN1l4Kr9xu4Cz+aiADHJmwLEJEALi1OAWAOTAsQ8RwoQ8wwpQKxhSAFijKMWIEN7tUDTelVUIdmNbtp1tE1MyG96obdl9STkyJoJNZsPUgvbNXNG2i5Ur+0HkBiMDV+Ot+UfP7STzSri6IIlu/6rvt2GX77+TNUlSSwAoycvxv+tnYrMGdO5bQGJywVLFvTT5n9tCwb/4+BxtOw51iaGdP/WLxyDp/M/pdoiu/bt+09QokUEjfRPrCpfTOhv63PfETNw8sy/NmHmSN0dAfL1vNEo/HQeVYVYlj6dvQqat/w2+YvVSuhJPIYWbyJ8RABJun0nGK/W7Y5m776JIT2bq/xzl32PH1dMRK4cWVQexxgQV30yKkCk3s0rPkWqlNFxJWJ1+WXXn2ou2CcRfnfvPcCN23fxdsv30b9zIyWONH93GEi9rtpv7C7wbC4KEJO8KUBMArSwOAWINTApQMxzpAAxz1BqyJQ2EA9CwhESFmlNhU9gLRQgxgZdCxBtuZBS5y9eRfWmA5UVokLZ4qqiI8f/QYOOI7B85jAUfiavCvRu37QW+nRsYLuQ3gnfv3kOFq/ZrBbAWkhIJkcB0rr3OOWSJbv3Okl7xJ1o9Rcj8Pyz+S0TIHrBLjvysjPff9Qs1afvl4xT1g69AP5p1STlgibpbvADlKvdFb3av4c2jWrghbfaKzem7Fmj/y5JuxQd3rbQKXB3BIj9tddv3oH3x87B7xtmI03qaHG2ZM1mjJu+DHItcXlq22c8Zo/vq9zWdKrfYThSpUyBJdOGqODxy1dvxhBH9gLEz9fXZZ+MCpBN2/YoYaTTwlU/KLcyzeXWnXuYOGulcscTFyydurWph66t6jrl74qBuKAlZEyM3RmJl4sCxCRbChCTAC0sTgFiDUwKEPMcKUDMM5QaKEDMc6QAMcbQmQC5ePk63mrcP4YA+fvkObzX/kMlQMRCIEfLysLc/nhciUeYPn8t9v7whYqTmLP0O/z50zxbfISjAGnUaSR8/XzVAtQxlSz6DNIFpbZMgEj9Ijp27zuClbOHq/4N79sKDetUUpd2JkDu3LuP8m93Q99ODVV8hvS5Qe2KqFKhtENzfWxCzbEfCRUg4p40aMznMQSIuISNmbJELeol7qHzoE+V0BAXNp1E1IkVSsZJ+KZPlyaGxcZegIhLnas+JVSALP36R4ydutQmQCSW58LFqxjcoxmKP1cAWTJlUG5xTeq9GacAccVAH3Hs7pgYuzMSLxcFiEm2FCAmAVpYnALEGpgUIOY5UoCYZ0gBYg1DChBjHBMiQCSQu8I7PZQQWfjZYNuFWvQYi3/OX8L2b6Zh1fqfMXLSIpslQzI5CpCh4+Zi1x+H8f2S8TbXHcknbjpilZDkbhB6eEQESlZphw/7tESjupVjQNBuVxIALYHScjSuti44EyA//t9e9P5wOqaP7YVK5UupPr/0QhFMGhEdM6OTfXs9JUDE8iJucN3b1kOXltECTg4UKFO9ozp+WI4h7jtipoq9OLhlvorLkOToguWqT1YIEC3CxFomVjOd5NpmBIjU46r9xu4Cz+aiADHJmwLEJEALi1OAWAOTAsQ8RwoQ8wwpQKxhSAFijGNCBYhYNyTQuFOLt1VA9pZf96nAab3IvHztJqo06Kvcq8RKIot0KXP0xFlb3IX8t7gMvf5KSXRuWUcFeoulZcGKjZg7cQAypA9yW4BIr8UyEHw/RH3wUKwYZUoWhr+fny3w/NTZi2jdsDoGdG1sg6QFiFg7Xin9vArUXrByowqYXrdwrLLiaAuEBIpL0HZoaDj+PHwC8nE/+7gQe/KJZQGRa0h8yrGT59Cj7bvKLW7Rqk1KcHw5fShKFSuk3J36DJ+Ot14vg0Z1KuHsv1cwY8FaFdyuvwPiqk9WCBBpq4yzuHzJKV0RERH4asP/QU4hi88Fy5UFROp11X5jd4Fnc1GAmORNAWISoIXFKUCsgUkBYp4jBYh5hhQg1jCkADHGUS+Q7WNALl25gTcb9VOLajnlStKxU+fxbrthWDHrQ3UsbWhoGCbOXgVxtdGpRf2q6NuxAQIDA9RPckzv4LFf2P7+TvXXok/BmjRQLfIlycL/o8+WqLgPnSTuZPLIHsoq4q4FROqQ4PGPpy2FCA1JezbOtgW562D0jUvHI+9T2WMJEDnJSb7YLkksPeOHdrTlE5cl6e+0+WtjxDGIIBHh4iwZ+RK6Y4C/1KNPGbNvu70LluSRuJbBYz5X8SA62X//RNo7fsYyLP36J/VniV+Rk8G2bN+HfZvnIEVggDrZLL4+6UD8zSsmqi/SO0v2wfH673LNsVO/tLlgiZAZNWmRbZzluGYRGNqCk1AGrtpv7C7wbC4KEJO8KUBMArSwOAWINTApQMxzpAAxz1AtFBiEbhokBYhphIYqELefy1dvIEe2zDHcqHRhOZVKBI0sXrUwcVaxWCpEDGXNlD7efIYa9b9MskBPG5Q6Rrvk1CRp66xxfWJUZXPBWiknOaWAj68P0qdN4/RyYs25fvMOoqKgTurS7k3utM3KvHL61d3g++qkK7H0OCZhK99kke+W+MqN4SR5ok9yjX/OX0amjOniZJtQLp5of0Lb5liOAsQkSQoQkwAtLE4BYg1MChDzHClAzDOkALGGIQWINRy9pRb5uOCA0bPjbY5Yaz4b1T3OPL/v/xtt+oyLYdnRmZ3FgHhL39mO5EWAAsTkeFKAmARoYXEKEGtgUoCY50gBYp4hBYg1DClArOHoLbWIq01oWHi8zZHdfXEriivJCV2Hjp3GzI/7xrIEyNfHx01bpr6KLl+AZyKBxCJAAWKSLAWISYAWFqcAsQYmBYh5jhQg5hk6EyA+oaHwCb4Hn4cP4RP6CAgNi/5/CawNCERUikAgMAUi0wQhKk0awDf6xJsnOVGAPMmjz76TgPcSoAAxOTYUICYBWlicAsQamBQg5jlSgJhnqAXIw9vBCL10Bb737gEiNtxIUUFBiEyfAZGZMj+xYoQCxI0Jw6wkQAIeI0ABYhI1BYhJgBYWpwCxBiYFiHmOFCDmGfo8CkGm4Jt4dOU6HoVFmKvQ3x8R2bIjMnOWJ06IUICYmzosTQIkkDgEKEBMcqUAMQnQwuIUINbApAAxz5ECJOEMRXj4XrkM39u3kT6VP0JCI/AoPDLhFdqX1EIkS1bgfx94s6Zi762FAsR7x4YtI4EnmQAFiMnRpwAxCdDC4hQg1sCkADHPkQIkgQzDw+F/9h8V5yEpfeoAawWIVOrjg4inckdbQ56ARAHyBAwyu0gCSZAABYjJQaMAMQnQwuIUINbApAAxz5ECxH2GPiEh8D9zCggNtRVOFAHyv9ojM2RERN58yd4SQgHi/lxkCRIggcQnQAFikjEFiEmAFhanALEGJgWIeY4UIG4yDA9HwPG/gbCwGAUTU4DIhSKyZkNkrqfcbGzSyk4BkrTGy93Wbtq2B2VKFlYfAvREOnPuEq7euI2ypYpYcrnwiAj4+vjGOg44MjIKN2/fRUCAf5wf65OPIAalSYWUcvodU5IjQAFicsgoQEwCtLA4BYg1MClAzHOkAHGDYVQU/E+dgM/9+7EKJbYAUSIkd55k7Y5FAeLGXEyCWYtWbI3FU4fgxRLPGm69LPpLVmmHw9sWGi6jMy5evQnyMcT5kwe5XdaxgHw9vlGnEejY/G3Ufquc7c+79h5Gz2HT8OBhiPrtpReeQ/8ujVCscAH17x17DmH6grW4cPEqQh6FoVyZ5zF2cAclRpiSDgEKEJNjRQFiEqCFxSlArIFJAWKeIwWIcYZ+F87D98Z1pwU8IUDkwuFPF4Ic2ZscEwWIZ0b1+k3gxs0odbHCz/h45qIAkqoAmTh7JRas2Kg4jR/aKYYA+W3fEVy7fhuvlyuJkJBQjJq8CGIRmTWuD7R46t62Hjq3qIOHIY9Qv8Nw1K/9Bto2rukx7ryQeQIUICYZUoCYBGhhcQoQa2BSgJjnSAFijKFPcLCyfsSVPCVAogIDEf7c88kyHoQCxNhcNJPrx22RWLn2v6Oi8zzlgwE9/JHagg3523eC0eX9yTh55l/VxKKF8+P9Hs1Q+Ok80f+2s4D89scRTP5iNU6fu4SsmdOjXo0K6NCsdqyuubKA7D1wDKMmLcKlqzdV2UrlX8DQ3i2UK5SjBWTZ2i348qvNuHbjDvLlzo7ubeqhYvkXXOKUfoWEhqJp19Ho27FhDAHiWPjbzTsxeOwXOLBlHkJDw/FSjU74aFA71T9JQz6eAz8/P4we2NbldZnBewhQgJgcCwoQkwAtLE4BYg1MChDzHClAjDH0PymuV8GPXYBIAyLy5I3+YGEySxQgiTugDx4CPQfHjF2SK75d3Rd1a/iZvvide/exduN2lC5WCIGBAZi/fIMSGGvmjIwhQESYvFitIzq1eBu1qryCf85fwW/7DmNorxZuC5BDx87gxOkLKFIon7IwDJ+wQImKvp0axhAg+w+dQPPuYzBpRFcUzJcL+w+dRHh4BJrWq2K439WaDECPtu/GK0BEfIgA032e9PkqzFu+AW0a11BtHDdtKb6Y0F/9N1PSIUABYnKsKEBMArSwOAWINTApQMxzpABxzdDnzm34/3Mm3oyesoBII5KrFYQCxPVcNJPj2IkoTJgeHquKZ5/2wcCe/maqtpWVWImDR0/hn3OX8NffZ5Qg0fEb2gIiFpGytbqgZ7v30KL+W0idKmWc13ZlAZGC127cxr6/TuDq9VvY/MtepEubGjPG9o4hQCRWo33/CZg9vp+Kw/D3c19wuRIg2voxd+IAlCtTVPVJXLQGjJqFEs8/reJRXn2pGCZ82CXOYHVLBoGVWE6AAsQkUgoQkwAtLE4BYg1MChDzHClAXDP0P/43fB4+9BoBIg1JjgHpFCCu56KZHOf+jcKoT2ILkPIv+6JtM/cX5I5tkZ3/Nn3GIW1QahWM/Sg0DLIodxQgEoQu7lBjpixRVZQqVgi9O9RXJ2Q5JlcCZOPW3eg/ahZKF38WRQrlxfHTF5AyRYASGvYuWGFh4fh4+jKsXLdVXaJaxZfRt1MD5M6Z1TDS+ASIBJt3HDARw/u2QsM6lVSdYhEq/3Y3FQQvJ3Gd+/cKug+ZgmcK5FaWGKakQ4ACxORYUYCYBGhhcQoQa2BSgJjnSAHigmFEBAIOHXQJ2pMWEGmM+jZIvvwu25WUMlCAJP5ofTI1HMdPRQeg6zSguz8KFzIfjD5+xnIcPXEW8z4dCD8/Xxw4ckrFTTgTIHLtkEehOHbqPBat2oQ9fx7Ftq+mqHL2yZUAqdNqCKpXLouureqqYvNXbMDv+4/GEiC6zjt37ysLjbhGFX4mL8YN6WgYelwCZNO239F3xMwYsR5S6fbdf6HzoE+xY910ZEgffXCEiKJp89diz8bZhq/LjI+fAAWIyTGgADEJ0MLiFCDWwKQAMc+RAiR+hj63b6kvnrtKnhYg8PVFWLESySoYnQLE1Swz/3eJA9mxOxLHTkYiSyYflCrua4n4kJbNWLAWP+/8M/oEqPAIzFj4jVMXrFzZM2Pdph1oVLcS0qcNwop1W1VA+s7109W3NNwRIBLXUahgbvTt2AAXLl3DiIkLkTFDUCwBsn33QdwNfoDKr5aGn68PPhg/D0FBqfFhn5YuoYoIioqMQu2W76Nzyzqo/WY5WzulHxJYPrh7U1R+rbStrozpg3DrTjCqNu6vxJEc3/vwUSi6Dp6sLETCiCnpEKAAMTlWFCAmAVpYnALEGpgUIOY5UoDEz9Dv7D/wvX3LJWiPCxA5krfg04hK65mPurkEYEEGChALID7GKuQkqh5DpygriKQKZYsrK4C9BWTJtCHIkysbWvX6GGcvXFH5JCBbgrvfKFcyVutdWUDE9WnwmM9x8/Y9FUsi8SV6c+EdkQAAIABJREFUgb9kzWb8vGO/coGSU7d6fDDV9r0OicUY0a81cuXI4pKYWDfEymGfvlv8MQrkzYlRkxfb3Lrs/65PvpJyS9b8qCw9kqq+UQY92r2LHFkzubwuM3gPgWQrQOTM6Ks3biFLpvSGAqPiyy83q3xxU9R6tiwZY5gzKUC8ZzJTgFgzFhQg5jlSgMTP0P/oYfiEhroE/TgESESOnIjMnsNl25JKBgqQpDJS8bfz4uXryJA+LVKnShFvRrFIREREIGP6tKY6LuueS1duIEe2zAjwjzuWJSoqCjdu3VVCRbftXvAD9d0Op8kHlgWLS6B8urRpkCIwwFRfWfjxEEiWAuSXXQdUAJX+iubwfq3R8O2KcRKOL78EV4ka1yl71oyY+lFP2xc5KUAez8R1dlUKEGvGggLEPEcKkPgZBhz8E4iKY4FiVzQ+AeJ75Tz8f90A3+MHgBSpEVHiFYS9VhNImdrUAEZkzYbIXE+ZqsObClOAeNNoPBltEZetC5evOe1sgL8/XaWejGngspfJToDIcXWv1+sJ+Upms3ffVEe09Ro2DZuWT3B6MoOr/HLahAQ6vViisPoCZ/+RM5UfppgfJVGAuJxjHstAAWINagoQ8xwpQOJhaDAAXWqIT4CknPEBcDf6Q2k6hb9WC+EVapkawOQWiE4BYmo6sDAJkEAiEUh2AkSsGV3fn4z9m+eoj/ZIqtl8kBIjzd59KxZGd/OLZUVMi/q4NwqQRJqZCaiWAiQB0JwUoQAxz5ECJB6GISEIOHbUEOS4BIjP7RtIMWtYrDqi8hbCo2bmAlGj0gQh/JlChtqXFDJRgCSFUWIbSeDJI5DsBMiqb7dh4cqN2PDleNtoSgBX/jw50a9zw1gjbDT/+s07sPXX/Th++jwmjeiG557Jq+q6dDP+c+yNTKmMQYGQBcut4FCEhEYYKcI8TgikSx2A8IgoPHgU+0x2AjNOIEfGVLhy6yFcO8gYr/NJy5kywA+pUkTf00wOBNwQIOlSBeBRaAQeRUTGqEQESOBM5wIktLk5ARKZJggRyUyAZM0QfU8/SUk2UphIgAS8l0CyEyBzl32PH37+HWvmjLRRF6tFUOpUGNG/dayRMJr/szlr8MfB4+qroKMHtsPLpZ5TdRlwY3Y5+j7/OyrcirpcXiwZZyBHawZXOHIummTpA8htTY7/cYy6fw8RZ08CERHwv/vQUKyGmovqQRt7PB6MH4jI2zdi/CFFlToIeDP62wUJTpkyAQUKJLi4NxZ8Eu9p/T7wxvFgm0iABIBkJ0CMWjT04Lub//Ml3+LLrzZj+zfTVBV0wfKe24guWNaMBV2wzHOkC1Zshr7H/0TKyQPUH8JrdUBUHtduTi6D0Ld/D98TB4EUqf4XhF7LkLCJb4Q9EYTue/4kAlfPRkjn4aopKT8bgPBK9RBerpr5yedQA12wLEfKCkmABCwgkOwEiI7p+PPHubaP2siXNls2qBpvDIjR/Jt/2Ys+w6fjwJZ56nhfChALZqFFVVCAWAOSAsQ8RwoQFwKkbhdE5XRtZUiWx/A+uIdUH7SAz8P7iMzztALle/6U+v+QPhMQ+ewL5iegXQ0UIJbiZGUkQAIWEUh2AuTBw0d4qUYnDOrWBE2dnIIl51O36TMe7ZrURI3KZeEq/8yF3+DVl4urD/HIWdfizpUqRSBPwbJoAlpZDQWINTQpQMxzpAD5j2Hg6pnwPX8aCAm2LbSRLht8o/wRUbwswkuUixP44xAgnvgQof+uTQhcPDFGv8NfqYrQVtEWIisTBYiVNFkXCZCAVQSSnQARMFt37FdfDtXpg94t0OSdKuqfd+7eR/k63WD/W3z5h46bi29++NVWV6lihTBuaEfbkb60gFg1Fc3XQwFinqHUQAFiniMFyH8MU07uB9/jB2NA9QkNh+/9ELg6NtfjAsTXF2HFSgA+PvD/fSsQHvsQgfDy1c1PELGCjO0CnxvRX61GqiA8+GgxkNrcx+OcNYwCxPxweXMNm7btQZmShZE5YzqPNPPMuUu4euM2ypYqYvp6wfcf4tade8iUIR3SpE4Zoz45bfTm7bvKkyV92jSmr8UKvI9AshQggjkiIhKXr91EtswZbK5Y8eGPL39oaJi64SSQXb4JYp8oQLxnUlOAWDMWFCDmOVKA/MdQWUAunAIe3I/+fwCRuQrA714IIou/4lUWEPtvgKQa2AA+927HmgwPP1mNqLQZEj5JHtxTMR/a7UpXJO5YIb0nWC5CKEASPlRJoWTRiq2xeOoQvFjiWcPNlW+alazSDoe3LTRcRmdcvHqT+r6a/haa2xUA6iPRzbp9hOOnL9iKN61XBYO7N4Ofny927T2MnsOm2T4m/dILz6F/l0a2D0An5Jos430Ekq0A8RRqChBPkXZ9HQoQ14yM5KAAMUIp/jwUILH52AehS6yDr28a+NwPjhekpy0g4fnyIypDRtWmRBUgkwcoMSZuV5HPllDuWFGp0uBRn4mIzPOM+QloVwMFiKU446zswUNgwrRwvPmGL14t6+uZiwJIigJELB8LV/6AutVfRa7sWbBz7yF0HjQJS6YNQeniz+K3fUdw7fptvF6uJEJCQjFq8iL1/bVZ48wdse2xQeGFDBGgADGEKe5MFCAmAVpYnALEGpgUIOY5UoC4FiBROQvC/3S0RSSu5FEBEhiIsCJFbU1JNAEiV3hwDwFb1yKsdkt1PYkJicz9tOXiQ+qmADF/P7uqQYuP8/9GnxfdpqmfZSLk9p1gdHl/Mk6e+VfVXbRwfrzfo5mKS1X/trOA/PbHEUz+YjVOn7uErJnTo16NCujQrHas5ruygOw9cAyjJi3Cpas3VdlK5V/A0N4tlCuUowVk2dot6mTQazfuIF/u7Ojeph4qlnfvIIVT//yLOq2HYt2CMXimwFOx2vvt5p0YPPYL2+E/rsaDf08aBChATI4TBYhJgBYWpwCxBiYFiHmOFCDGGPqfPBGvFcSTAsTe+iGtT1QBYgyPJbkoQCzBGGcljuJDZ7RKhNy5dx9rN25H6WKFEBgYgPnLNyiBob91pgWICJMXq3VEpxZvo1aVV/DP+Sv4bd9hDO3Vwm0BcujYGZw4fQFFCuXDw5BHGD5hgRIVfTs1jCFA9h86gebdx2DSiK4omC8X9h86ifDwCIg7lZF04dI1rFr/M37a/gdqVn4F3dvWc1pMxIcIMPvvuxmpn3m8mwAFiMnxoQAxCdDC4hQg1sCkADHPkQLEGEOf4GD4nzyugr6dJU8JkKiUKRFeOGZQLQWIsTH01ly5MnvmS+gjPwmHtnw4sujWzh+lSjif2+5wexgSioNHT+Gfc5fw199nlCDR8RtagIhFpGytLujZ7j20qP8WUqeKGdRtfz1XFhDJe+3Gbez764T6+LJ8fiBd2tSYMbZ3DAEisRrt+0/A7PH9UK7M8+rTBO6koyfOQr6t9sfBY3ij3AsY3rdVrJhdbf2YO3EAypX5z0LpznWY1zsJUICYHBcKEJMALSxOAWINTAoQ8xwpQIwz9L10EX5X/3calEMxjwgQHx+EP/MsolKnjnH1gFWzgEcPYnUkvGEXRKWImdd4bz2fkxaQxGW+Y3ckFiyLiHWR3Ll8MLCnP1Kb1EGy89+mzzikDUoNCcZ+FBoGWZQ7ChAJQhd3qDFTlqi2yImdvTvUVydkOSZXAmTj1t3qkwMSj1GkUF4VLJ4yRYASGvYuWGFh4fh4+jKsXLdVXaJaxZfRt1MD2ymhRsmLlefNhv0wrE8L1Kn6qq3Yjj2H0HHARCVMGtapZLQ65ksiBChATA4UBYhJgBYWpwCxBiYFiHmOFCDuMfQ7fQq+9+7GKpToAiQqChH5C0BOv0quiQIk8UfWUYRYJT6k5eNnLIdYCuZ9OlCdEHXgyCk07TraqQCR/CGPQnHs1HksWrUJe/48im1fTVHl7JMrAVKn1RBUr1wWXVvVVcXmr9iA3/cfjSVAdJ3yeQOx0Ez6fBUKP5MX44Z0dBt6zeaDYsSsbNr2O/qOmImPBrVTvzMlPwIUICbHlALEJEALi1OAWAOTAsQ8RwoQNxlGRMD/2FH4hIXFKJjYAiQiW3ZE5szlZmOTVnYKEM+MlxYhVooPafmMBWvx884/1QlQEl8xY+E3Tl2wcmXPjHWbdqBR3UpInzYIK9ZtVQHpO9dPj+XW5EqASFxHoYK50bdjA0icxoiJC5ExQ1AsAbJ990HcDX6Ayq+Whp+vDz4YPw9BQanxYZ/owxXiShI7cvTEObxZ4UVkSJcG32/5TZXVxwlLP4Z8PAeDuzdF5ddK26rJmD4oXtcyz4w0r2IVAQoQkyQpQEwCtLA4BYg1MClAzHOkAHGfoc+DB9HxIFHRJwlJSkwBEpU2HeSr58k9UYB4boT3H4xC4UI+pt2u7FssJ1HJh5XFCiKpQtni2L77rxgWEDm+Nk+ubGjV62OcvRDtzigB5D3avos3ypWMBcCVABHXp8FjPsfN2/fUgl/iS8QFTETQkjWb8fOO/eo7IHLqVo8Pptq+1/HqS8Uwol9r5MqRJV7ofx09ja7vT1b16zSoWxO0bFBN/XPU5MU2ty77imgN8dxc9sSVKEBMUqYAMQnQwuIUINbApAAxz5ECJIEMw8Phf/Yf+ARHL0wSRYD4+CAi11OIzJI1gY1MWsUoQJLWeMXV2ouXryND+rRInSpFvB0Si0RERAQypk9rquMiUi5duYEc2TIjwD/u4PKoqCjcuHVXCRXdtnvBD9R3O5wmH6jjfKXc7bvBkG+CuLqGqY6wsNcSoAAxOTQUICYBWlicAsQamBQg5jlSgJhj6HfhPHxvXLdegPj6IrxAQUQFmVucmeudZ0tTgHiWN68G5bJ14fI1pygC/P35QUFOEkWAAsTkRKAAMQnQwuIUINbApAAxz5ECxDxD+Up6pge38ejqDTwKjzRXoZ+fsnhEiNXD399cXUmstDsCJDwMCA2LRhQYmMQ66tBcTx3Dm7QpsfUk8PgIUICYZE8BYhKghcUpQKyBSQFiniMFiHmGUkOmtIF4ePsewi5chM+dOzHiQwxdISAAEVmzITJTZsDNbxQYqj8JZIpLgISGAvfu+eB+MBDy0Achj2J3RkRIYGAUgoKAoLRRcDip2Kt7TwHi1cPDxpEALSBm5wAFiFmC1pWnALGGJQWIeY4UIOYZagHyICQcIWHRFhCfe/fge/sWfEJC4BMRAURGAHJylogLPz9E+foB/n6QAPPIDBkQFRi/v7w1rfTuWuwFiCC7cd0HN2/6QASIu0kwp0sfhezZo7zeQkIB4u7oMj8JeJYALSAmeVOAmARoYXEKEGtgUoCY50gBYp6hMwFiTa1PVi0iQDKnS4XDx0Nw/boPwsPN918+XJ8xYxSyebEQoQAxP86sgQQSkwAFiEm6FCAmAVpYnALEGpgUIOY5UoCYZ0gBYg3DkIdA8K1UuHjNiY+VyUv4IAq580aLEW9LFCDeNiJsDwnEJEABYnJGUICYBGhhcQoQa2BSgJjnSAFiniEFiHmGEjZz4ZwPMgalxPW71gsQ3cJs2aKQI6d3iRAKEPPzhzWQQGISoAAxSZcCxCRAC4tTgFgDkwLEPEcKEPMMKUDMMbx21QeXL/vARwXzp0hUASItDQqKQr78UV4T608BYm7+sDQJJDYBChCThClATAK0sDgFiDUwKUDMc6QAMc+QAiThDO/c8cHZMxK17wOJAfGEAJHWZs4chadye4cl5EkRIJu27UGZkoWROWO6hE8YN0qeOXcJV2/cRtlSRdwoFX9W+ZChmj8e6oNlDWdFpghQgJjCB1CAmARoYXEKEGtgUoCY50gBYp4hBUjCGD58CJw64Qv9IWpPChBpca5ckfCGj8w/KQKkaMXWWDx1CF4s8azhCSNfOS9ZpR0Ob1touIzOuHj1Jmzb+SfmTx7kdln7AvKl9HnLv4fUd/P2PfUl9T0bZ8eq85ddB9D1/cmY+XEfvFGupKlrsrB3EaAAMTkeFCAmAVpYnALEGpgUIOY5UoCYZ0gB4j5DOeHqxHFfdTKxTp4WIOLylb9gFNKmfbyWEE8JkPsPgAv/xu6rfDMlz1NCI3FTUhUgn85ehW9+2I7OLeuiRuWyCA0LQ46smWLAOnbqPJp3H4MHD0MoQBJ3Gj2W2ilATGKnADEJ0MLiFCDWwKQAMc+RAsQ8QwoQ9xmeP+eDW7diLno9LUCk1f7+USjyfJR4gD225CkBcvR4FD6dEfts4yLP+qBfN3/T/b99Jxhd3p+Mk2f+VXUVLZwf7/dohsJP54n+t50F5Lc/jmDyF6tx+twlZM2cHvVqVECHZrVjtcGVBWTvgWMYNWkRLl29qcpWKv8ChvZugfRp0yiLhb0FZNnaLfjyq824duMO8uXOju5t6qFi+Rfi7fe1G7dR8b3e+GhQO9VGZ0nyNOo8En07NsTISYsw8cMutICYnk3eVQEFiMnxoAAxCdDC4hQg1sCkADHPkQLEPEMKEPcYPnoEHP/bF4578Y9DgEjL8+SJRMaYG9rudchk7uQiQO7cu4+1G7ejdLFCCAwMwPzlG5TAWDNnZAwBIsLkxWod0anF26hV5RX8c/4Kftt3GEN7tXBbgBw6dgYnTl9AkUL58DDkEYZPWKBERd9ODWMIkP2HTigLxaQRXVEwXy7sP3QS4eERaFqvSryjt2X7PvQcNhWN61bG8dMXkCJFAOpULY86VV9V5R6GhKJ1r49RoWwJdG9bDy/V6EwBYvJ+8MbiFCAmR4UCxCRAC4tTgFgDkwLEPEcKEPMMKUDcY/jvBR/cuBHb5PC4BEiKFMCzhSMfmxUkuQgQvSA/ePQU/jl3CX/9fUYJEh2/oS0gYhEpW6sLerZ7Dy3qv6ViKuJKriwgUk4sEPv+OoGr129h8y97kS5taswY2zuGANm19zDa95+A2eP7oVyZ5+Hv52do0i79+ieMnfqlEheFC+bBsdPnMX3+WnwyrDNqVCqL/qNmqXrE6uHr60MBYohq0stEAWJyzChATAK0sDgFiDUwKUDMc6QAMc+QAsQ4w6go4MghX0RExi7zuASItKRAwUikTWu8H1bmTC4CRFyv2vQZh7RBqfHSC8/hUWgYvt28M5YAkSB0cYcaM2WJwliqWCH07lBfnZDlmFwJkI1bdysRULr4syhSKK+yUqRMEaCEhr0LVlhYOD6evgwr121Vl6hW8WX07dQAuXNmjXcoRYBImfWLxtryDR77BUJCQjGkZ3NUqt8b9Wu/gTT/E1GLVm9SFhixkFSr+JKV04R1PUYCFCAm4VOAmARoYXEKEGtgUoCY50gBYp4hBYhxhvfuAWdO+zot8DgFyOM8lje5CJDxM5bj6ImzmPfpQPj5+eLAkVNo2nW0UwEiEyDkUSgkeHvRqk3Y8+dRbPtqiipnn1wJkDqthqB65bLo2qquKjZ/xQb8vv9oLAGi67xz9z7EQjPp81Uo/ExejBvSMd7Jq0+2+vOneQjwj7aaiOARd68Jwzrjy69+jFF+ytyvUPutcqj9ZjnllsWUPAhQgJgcRwoQkwAtLE4BYg1MChDzHClAzDOkADHOMC73K6nhcQoQCUZ/vujjOQ3LUwLk7PkorPomItZg5c3jg0bvGHNJim+kZyxYi593/olZ4/qo+IoZC79x6oKVK3tmrNu0A43qVkL6tEFYsW6rCkjfuX46AgJiBsO7EiAS11GoYG707dgAFy5dw4iJC5ExQ1AsAbJ990HcDX6Ayq+Whp+vDz4YPw9BQanxYZ+W8U5eKVOlQV+0alANXVrVhcSciKiSeBVn8SOMATH+LEhKOSlATI4WBYhJgBYWpwCxBiYFiHmOFCDmGVKAGGd45LAPwsOdHzn1OAWI9KDQs5FIlcp4X6zK6SkBYlV746pHTqLqMXSKsoJIqlC2OLbv/iuGBWTJtCHIkysbWvX6GGcvXFH5JIC8R9t3nZ4c5UqA7NhzCIPHfG77PofEl4gLmIigJWs24+cd+9V3QOTUrR4fTFXH5Ep69aViGNGvNXLlyOISi8SP9Bw2zVZWhMeg7k2dxpFQgLjEmSQzUICYHDYKEJMALSxOAWINTAoQ8xwpQMwzpAAxxlC+/XHksHP3K6nBHQFy/QYQ+ihayOTKZY3l4nGdhpVcBIieBRcvX0eG9GmROlWKeCeGWBciIiKQMb254BsRKZeu3ECObJltblLOLhwVFQX5krkEveu23Qt+APnQoNPkA3WcryS5xpVrt5AxfVC8QfPG7gTmSmoEKEBMjhgFiEmAFhanALEGJgWIeY4UIOYZUoAYYxgSAhw/Zl6A7N3ni71//GdFyZwZqFM7AikCjbUjrlw5ckQiW3ZzdSSkdHITIAlh8LjKiMvWhcvXnF4+wN9fWVKYSIACxOQcoAAxCdDC4hQg1sCkADHPkQLEPEMKEGMM7wcDp06ZEyBi+Vjzdex4hfKvRKFEcSdHaxlrmsqVNVsUcua0xprixmVBAeIOLeYlAc8ToAAxyZwCxCRAC4tTgFgDkwLEPEcKEPMMKUCMMbx9Gzh31pwAuXjRB+u/j11HiWJRKF/OnADJmDEKefJSgBgbTeYigSeHAAWIybGmADEJ0MLiFCDWwKQAMc+RAsQ8QwoQYwzjO4JXajASAxKXACnzYhTKlDYnQLJkjbIsnsQYkehctIC4Q4t5ScDzBChATDKnADEJ0MLiFCDWwKQAMc+RAsQ8QwoQYwwfPgROHDdnAZErLV3ui3vBMU/Sqv9uBLJkNtaOuHIxBsQcP5YmgeRKgALE5MhSgJgEaGFxChBrYFKAmOdIAWKeIQWIMYZWnYL1KBQ4dswXFy8BWbIA+fNFmhYf0gOegmVsHJmLBJ40AhQgJkecAsQkQAuLU4BYA5MCxDxHChDzDClAjDGMigIOHfRBFLzzOyAFCkYirbkTYY2BcMhFF6wEYWMhEvAYAQoQk6gpQEwCtLA4BYg1MClAzHOkADHPkALEOMOTJ3zw4IH3CRCRRUWKRsE/5oe4jXfMRE4KEBPwWJQEPECAAsQkZAoQkwAtLE4BYg1MChDzHClAzDOkADHO8Po14OJF53EgRoLQjV/JvZxp00ahQEHPn4AlrUwuAuTO3fvYufcQalQu6x78eHI/DAnFrdt31UcGfWWCJFLatO13vFyqiOmPIurmyYcLr924g0wZ0iJFYIClrXbFRD6sePXGLWTJlN7p19rl44vSvoR8ADI0NAy37gQjW5YM8PExNh5yLX+/2Ednu4Liqh/Oysu1fH18LZ8rFCCuRsvF3ylATAK0sDgFiDUwKUDMc6QAMc+QAsQ4w7Aw4OhhH8DJ4uVxCpDHFf+RnATIX0dPo3GXUTj08wLDi9P4Zk6PoVOwdcd+lUUW8u9Ur4B+nRuqf9+8fQ8V3ukRq/i8SQPxSunnY/3++ZJvlRBo3ai600sWrdgaX04filLFChmfzHHknLP0O3w2Z43tr9UqvoThfVsjfbror6rXaTUEp85ejFG6W+t30LX1Oy6vHR8TKfzLrgPoP2oWHjwMUXUN79caDd+uqP5bfhv00ec2piWefxrTPuqphIqrJF+Rn7V4PWYsWGsbj+lje6Pk80/HW/Tcv1dRo9lA/LhiInLlyOLqMra/x9ePuCoRYdao0wh0bP42ar9VzvC1jGSkADFCKZ48FCAmAVpYnALEGpgUIOY5UoCYZyg1ZEobiAch4QgJM3cUrDWt8e5aTp/0QfD92Lunj0uAiPtV0eJR8I37gK5EBepJC0jEPydUX/zyF0LU/Xt4tGE1UjZoa0n/rBYg0+evRdWKLyHvU9nw2x9H0G3IZ1gx60MUL1IQN27dxev1emL2+H7q7zply5IRqVIGxuqPJwXI6u+2IU+ubCj5/DM4f/Eq2vUdj3ZNatnEjwiQWm+WQ/VKL9vamT5tGmRIH+RyHOJjIgtwYdK9bT00e/dNbNv5J3oNm4ZNyycgd86smLvse6z+dhuWTBuqGHUZPBkF8ubE6IGux3//oRNo3n0MlkwbguLPFcTUeV/j+y278NPKSXFaG5p0HY2DR06pPrkjQFz1wxmkibNXYsGKjepP44d2ogBxOZM8nIECxMPA47kcBYg1Y0EBYp4jBYh5hhQg7jGU43hPHveFo8PT4xIgj+v4XU3NUwJExEfwiGirQZoBY/Fw0VRE/HMSgRVrIHXXoe4NopPcWoDIAlgWuveCH6JTi7fRvmktlXvc9GXw8/XFqbP/Yvvuv1CuTFEM7tYUc5Z9h62/7sfLpZ5Dz3bvofDTeZy2pXKDPmhct7La4dYC5LvFH6tFtKtkRIC0qF8Vu/cdwfHTF/B21fLKaiEL9W8378Qvvx1A2qDU+O7HXciZLRNG9G+NXXsPY8W6rcqC0L3Nu6hSobTTZgz7ZD7+vXQN8ycPUn8XASKWmHdrvu6q2S7/bs9ErAZd35+M/ZvnIPB/bl81mw9SYqTZu2+hfofhEGtMh2a1Vb3idtZ3xExDFqtPZ6/C0ZNnMXfiAFX26vXbqFS/N9bMGYkihfI5bafkuXz1BkSIuCNAXPXD2cVu3wlGSGgomnYdjb4dG1KAuJw5Hs5AAeJh4BQgiQ6cAsQ8YgoQ8wwpQNxneP6cD27dimkFeRwCJDAQKPxcpDOPMPc7lcASnhQg90Z0Bx7cj9HSwDdqIHU36wRIrSqvqAW8WC0WrvrBtgMvO+57DxxD304NUCBPTgyfuAAXLl1TC2IRI4tXb1KL/HFDOsYiefbCFchieubHffBGuZI2AVL51VJIny4IzxbMjbrVX4NYEpwlIwKkWOECaNukJq7fvKNcqD7s01L1Y+HKHzBh1gq0a1ITr75cHEu//hFbtu9DtYov471ar+OPg8eU4Pq/tVNjuZ6FhUegWpP+qFWlnM19TARImjSp8HS+XMiVPbNaLOd9Krvbs8eRyapvt2Hhyo3Y8OV4W13ispU/T0517ZdqdMZHg9opESLpyPF/0KDjCOz8dkac3HRF4taVMX0QhvZqYatb3Nb0eMTV+CvXbkFEkjtvDkgGAAAgAElEQVQCxFU/4gNVrckA9Gj7LgWI27MpkQtQgCQyYDeqpwXEDVjxZKUAMc+RAsQ8QwoQ9xmGhvrg+N8+iLQzgzwOAfI4Yz80NU8JELle+OF9CB7Z0zZgAWVeQ5qB49wfQCclnLlgiWgQgVGvRgXl8lO6eCHbDrws8k+cuYAZY3ur2n7euR8ffjIf27+ZFqP2+w9C0Lz7RwhKkxoLPxsMPz9fBN9/iClz10BcriSoeu3G7coSsXL2cNvuv30lRgSIfQzI2KlfQq47ZnB7JUB+3fOXbfd/x55D6DhgIg5vW6guIcH35et0Uwv/fLljCgkRWRu27Mb3S8apwG1JEkfh6+cLOZZ666/7IELiq7kj3RIhzpiIi9UPP/+urBL2wiEodSoM79cKxSq1iSEYTv3zL+q0HoqfVn6KnNnj/4qn9Lfw03ltIkrqF0EjliARnFYKkPj6IdejALHkdvVsJRQgnuUd39UoQKwZCwoQ8xwpQMwzpABJGMObN4ALF/4LvPC0AEmfPgr58j+ek6/siXlKgEjMR/DIHsrtSief1EEIGjFNxYSYTc4ESN8RM9RpS8P6tIwlQL748lscOHLKJkB+23cE7fp+YlvYS3skHqDXsKm4fPUmFk8dEmecxJlzl1C75ftYPnMYJLjaMbkrQMS1SmIKJH7CUYDs++s4WvQYa2vno9AwlK7aAV/PGx3DfWzmwm8wY+E3WDF7OIo/V8Ap3rCwcFRrOgAt3quKNo1rGBqCuJi4shyIYBBBVfWNMuo67lpA5CCAIT2b29pIC4ih4Xr8mcSklyZ1KqfBUf/P3nnHVVn9cfwDKLJckThyW5arUtPUMk1z4bYcOBA1FfcWUxHIvSeKgYojt1lpmprbyI3myszUfu6BA5ShwO/1PXZvwB3PvZwDXPV7/vn94J7n+5znfS523s8533OMtc5c/YfRjxEf/1Rv05Y+HQuIpaQyvh4LiBrGLCDyHFlA5BmygKSf4fXrdrh75/lSrMwUECenZLz5VtYlnmeFgMStXYS49UvErWnm4+nZSLEcy/71/Mg1f0P6O/HfK40JCC2JoaVRvTs3NxAQ2i3qxJm/TArIo5gn6D96DmJj47FwyhCzSdo0I1DV01fkWXxYsYy0gATNWIq/Ll0TSdeGAnIBnfqNNykgtH3s9JA1ICFYOnsEypYubpZt255BqFXjfcFIq5hjosudOLEjDNmzPz/Qhvh7t66vzwGhxHddTo61OSDnL/6Db6YOFXEtyQGheulZgqX1HOYY8RKsFHT+uXYLvn4zxBQbFUo6GjO4M7JnM74nsrn6JCXe/SfoY9H6QZrapDWKVGhNYn//OQZ9c3x7qNh+jgVE60878z5nAVHDmgVEniMLiDxDFhA5hn9ftENMjF2mCUj27MCbbyWB/tcWSmbNgNCzPgkeLx6Zcj4oKf3xlBFiCZbKGZCt304RL0g37YhA4LRwrFkYAMqvSLsEy5yAPImNRzvfIHFexcygvnBzdRbttre3F0ngNEiNi49HtcrlxHhqVugGsQzrl7XTjeYzWDIDQrknnnWr4XDkOQwfFyLGV96tG1gtIKMnLxJtoR26Shb7L0E+f768uH7zrtgGl0TAPW9ubNt9GH7jF4rZncrvljb7ddRiQp9XadQTfn280N7ILljEe/3mvWIXLBfnHGJsav0uWKPELmS0/G3LzoP6XbCOnPgDk4NXYXpAb/0yNMp/oST0hu2Hi+VptA2vqbFvygfXeg5actdlEO0s5qk/c4a+J8lJyWIWzNe7GZp8Vl0vYSr+xl/IbXhp3Rz94Ywf0V10RJueQfrEJmNQzNUn4/z+5/1o1uAjuDo7Yfn67Viy5meR+EQ7Nfyy/xi+mhCaav0f3YO2qKMDY1hAVHwN1cRgAVHDkQVEniMLiDxDFhB5hteu2uF+lB1ey5kDdx/Fywc0EcHF5fmyK1uRD2pmZgpIhoEFcOqPS0IaXJyd9OdQ0GCYBvFUSEBokK17A59WQA5FnkPfkbNxZGuI/s152vbSMiDKEdmx7yhGTgzT34d+P9W/F6pVNjwDhGJYIiAp202J4WOHdRX5JJRIH3HktP7t//FTqWdA6HC+iimWYNFbeEquT1toEE7H3/gMnCSeT1dSMjLXP7rZBFNM6PckN5R4riujB3aCV4u64keaJaJk8n0HT4qfSQrnjh9g0WoaOgdk3pKNCFn2o7iWWH0zdYj+3BTK36G+S7kMjZZ86c4jEf9G/tt3lnwHzT2HLucm5bPRbl40o5OyWLpDmiXteeEEhJZK1WjaJ9XhNuNnLxdrGanT0xZr69MXnL7oNEVYqUJpISBB08MNErh092EBseRrljl1WEDUcGYBkefIAiLPUPzHlc8BkQZ5/x4QG+2Muw8zRkDy5ElGkaLJWbrjlTFIL4uA6J6N3nzfuhMl3vAbO5ND+ovybwB6630v6pH4yZqTuU3dnwbZt+7eh5Ojo0VncqT3Oeg+dJAiDc4p+Vt3SjjldpDMmCqurk4WnSiemJiEm3ei4OGex+gsAI01KfdEdwAhtedR9BOT982WzQGuLk7i87j4BETdlzuZnmYwaJma0WIH/QyW1nOkl396rnvhBES3w8CeDbOQz/357gc0a/HDtl8NZinoM2vr0xQfTfXR2wAySxIQOnSmeYOPkCOHIz54722x3Zruy80Ckp6vXcZcwwKihisLiDxHFhB5hiwgahhSDkguZ2cc/z3O6EGF6b0LbbVbsGAycufJ+oTzV0FA0ttPr/p1lPhO4zhTxX+gt8EuWyqYkRAMCgw2Ger9sm+Kww1VFVqWd/Wm4QwRxc+eLRsWTBqk6lbK4rxwAqI7OTLlHsuUlBSy7AfsWjfTAIw19Wnruva9x6Fz6wb6LwZNf9IUFO2Dff3WPaz9cTfat6ybat9mZb3BgZgAE2ACTIAJZBCBqCjaIQt4avqFsOad6WTz/PmBAgUod0CzOldgAkyACRgl8MIJiG5GY+93s/VTXZbMgGjVv3bzrtiBocr772DCiO5iT2xj5bst+0AncJ7cuUjMgvAMiO38ZfEMiJq+4BkQeY48AyLPkCLwEix5jjQD4pHXGTejYkWwpCTgwQM7PLgPkaRuaXHKATHbkfe1ZNDsh62Xl20Jlq3z5vYxAWsJvHACYiynY+zMZbh9977FOSBp69O2cF0GTUKdjyuJfbV1y6uMwdx/6BR8/abj2LZv4JTDkQXE2m9cBtZnAVEDlwVEniMLiDxDFhA1DNMKSMqoz54BDx/aISEeSEx8Lif0vzSzYe8A0Hs4SizPmSsZTs+Xq78whQXkhekqbugrSuCFExDqpy+HTkUuN1dx+IuxXbAoc79QAXcM9W0rutVc/fMX/4dW3fzFqZP9urUS29FRoe3U6KCflRt3ikNwaM/ph9ExGPZ1iNjyjPbFpsIzILbzl8MCoqYvWEDkObKAyDNkAVHD0JyAqLmDbUZhAbHNfuFWMQEdgRdSQOh0TtprWbclW4uGHyNwiI9+Z4KWXUeLfZhnBPYRz2mu/tZdh8QWamkLnQNC+1fPWLgWi1Zt0X9Mp4FO9fdF4YL5WEBs7O+IBURNh7CAyHNkAZFnyAKihiELiBqOHIUJMAG1BF5IAdEhoP2b6TwQ3VZmWmisra+LR1uk3bn3ADldXQy2keMZEC3qmfc5C4ga1iwg8hxZQOQZsoCoYcgCooYjR2ECTEAtgRdaQNSiSF80FpD0ccuIq1hA1FBlAZHnyAIiz5AFRA1DFhA1HDkKE2ACagmwgEjyZAGRBKjwchYQNTBZQOQ5soDIM2QBUcOQBUQNx6yKQidURxw9jUZ1PlTWBDqc7/4DuYPvLGkMHWFQtWIZkU+rotAhiXfuPRRntOVwzK4ipD6GFhM65O/2vfti91VjGxXRuR/UPmuflQ4svP8wBjGPY5E/X16rn0urXcYgUTvt7exhT/84ZGFhAZGEzwIiCVDh5SwgamCygMhzZAGRZ8gCooYhC4gajlkV5dS5v9Gu19c4vXsJ7OzkB4z9Rs3Grl8jxePQQL5Fw5oY4ttG/Ewnidds0c/gURfNGI5qlcoa/H7h8k1iwOzTtqFRPOVq+2DFvFGoWP4taXyh327GrND1+jh0IHTAYB/kzuUqftes80hcvHI91X36+LRAb58Wmvc2x4Qu3vvbSZErTKesUwkY4oM2TWuL/0+/8xu3UM+U8oTnjuuvPybC3M1/P3sRfUbOEtypuDg7YWT/DmjZqKZmm7XaZSoAiVbbnoHo0bEpmtSrbtF9MqoSC4gkWRYQSYAKL2cBUQOTBUSeIwuIPEMxQMrpiCdxzxD3NElNwFcwCgtI5nR63NpFiFu/RNwsz9oDym6qWkDmLd6I+rWroOgbHjh47KwYAK9eMAYVypTEvfuP8EnL/giZPER8riser+eFs5Ph4S+ZKSDrNu9BkUIeeK/sm/jf9dvoNngyunk11ssPCUjjz6qj4adV9e2mA6Tz5HbT7AtzTGjATkzo1PIOrT7DnogTGOA/F9tWTRWbEYWt/AnrNu3B8rmjBKNeI2aKTZDGDu+qed+TZy/iwt9XxREQOd1cxIHaIct+xPHtoZozIVrtMnbzaSFrsGT1VvHR5FE9WUA0e8jGK7CA2E4HsYCo6QsWEHmOLCDyDFlA1DBkAVHDUStKRgsIDYBpoBsdE4uenZriy/aNRZMmzVsJB3t7XLxyDXROWfUPymFEn/YIXbkZuw5EomrFd9C/2+fiOAFjpU7rQWjXvI54I64TkM3LJopBtFaxREA6fVEfh46fxZ9/XwXtLkqzFjRQ37Q9AnsPnhQD7807fkNBj9cQONQHvx09g9U/7BIzCH27tELdmpWMNoMOhL52447+SAQSEJqJaeX5iVazNT9PyYRmP3p/NROR20Ph+O+yL8+OfkJGOrSqhy+6B4BmY7p3aCLi0rIzOgoiPTNWazftwdxFG7Br/Sxx3IO5otUuY9c+eBiDuIQEtO89FoN7tGEB0fwm2HgFFhDb6SAWEDV9wQIiz5EFRJ4hC4gahiwgajiaipKwZwuS7tzEszOReHb2+dImp9bP33471moEew/tgby5FupmQOisMhrA06xF+Nqf9W/g6Y370ZPnMbhna5QoUhAB05aIIwpoQEwysmzdNjHIp2MF0pYrV2+BBtPzJw5Crerv6QWkzkcVkTuXG0qXLIzmDT8GzSQYK5YISPm3S6CrlyfuRj0US6jGDPIWzxG+5mdMXbAa3bw88VHVCvj2ux3Yuf84GtSuis8bf4Jjv58XwrVv4xyDpWdPnyWigddQNK5bXb98jATE1dUZpYoVQqH87mJwXfSN/FZ3flomJAXha7Ziy4rJ+li0ZKt4kYLi3lUa+WKcXzchIVTO/nkZrXsEImJTsEluaRt17Pc/8eP2X7H/0O8Y4ttWnEunVbTaZe76Bl7D0K9rKxYQLci2/jkLiO30EAuImr5gAZHnyAIiz5AFRA1DFhA1HE1FiQnsi2dnTxj92C1gDrKVM/4G39JWGVuCRdJAgkG5AiQglSq8pX8DT4P8C5euInjCQHGL3RGRGDNlMfZ/PzfVLR8/iUPHvuPg5uqC8Fkj4OBgLxKhZ4etBy25oqTqjVv3i5mINSEB+rf/KYNYIiApc0AmzFkBui8dIk0CcuDIKYRNGyZC/nrkNHoMm4Yze8LFz5R8X6NZHzHwL1Y4tUiQZG3ZeQg/LZ8Ej9fziPrBSzbC3sEeycnArgPHQSKxISzIKgkxxoSWWP28+zDWhwbpH53yQdxcnBEwpDPKf9pFL3BU4eLla2jmMwq/rJmOgvndLepmmgH6aedBnP7jb/h6NxMzK1rFXLtoJokFRIvgS/A5C4jtdCILiJq+YAGR58gCIs+QBUQNQxYQNRxtSUAGBwaL3Zb8B3kbCMg3KzaBcgt0AnLw+Fl0GzxFP7Cn56D8gQH+c3DzdhSWzRlpMk+CDnFu4v0VVs33ByVXpy3WCggtraIcBMqfSCsgx0/9iU79JujbGZ/wFJXqd8d3i8amWj42P/x7BId/j9UhAajwTgmj3fL06TM0aD8MnT6vjy7tGln0BTDFRGumgWZASKjq1/pA3Cc9MyC6BtJMiHf/Cfh55RSR72KuaLXrpRYQ+rLQ4XyWlDofV9Zcz2ZJHFuswwJiO73CAqKmL1hA5DmygMgzZAFRw5AFRA1HrSgZnQOSMqeAltDQ0qjenZsbCAjtFnXizF8mBeRRzBP0Hz0HsbHxWDhliNkkbZoRqOrpK/IsPqxYRlpAgmYsxV+XrmH53JFGBOQCOvUbb1JAaLvZ6SFrQAPvpbNHoGzp4ma7pG3PINSq8b5gpFXMMdHlWpzYEYbs2bOJUMTfu3V9fQ4IJb7rcnJkckBomVqtVgMs2jlMq10vtYCk3LZMq3OtWQunFcvWPmcBsZ0eYQFR0xcsIPIcWUDkGbKAqGHIAqKGo1aUjBaQrd9OEcuNNu2IQOC0cKxZGADKr0i7BMucgDyJjUc73yBxXsXMoL5wc3UWj2Vvby+SwGlQGxcfj2qVy4mXxrNCN4hlWL+snW40n8GSGRDKPfGsWw2HI89h+LgQsVTMu3UDqwVk9ORFoi20Q1fJYv/l1dDZGddv3hXb4JIIuOfNjW27D8Nv/EIxu1P53dJmu06LCX1epVFP+PXxQnsju2AR7/Wb94pdsFycc8DXb4bFu2DR81B+TeX33oa9nR1mhq4Xyfm71s0QeTvmila7aAldl0G0U5in/gwZ6vfkpGQxq0VLvZp8Vl0vVVrf74z4PN3b8NLDP332TLQpaPpScaAJTQemLP5TFomHnTt+QEa03SZisoDYRDeIRrCAqOkLFhB5jiwg8gxZQNQwZAFRw1ErStLtG0i6c0NUk837SHmvU39cEtJAZ0TozqGgwTAN4qmQgNAgW/cGPq2AHIo8h74jZ+PI1hDcunMftMNT2kLngVCOyI59RzFyYpj+PvT7qf69UK2y4RkgFMMSAUnZbkoMHzusq8gnoUT6iCOn8c3UoaI5x0+lngFJSHiKiimWYNGsAyXXpy2UI0LHo/gMnCSeT1dSMjLXd1pM6FqSG3rpriujB3aCV4u64keaJaKckH0HT4qfSQppzKvLTTF3b5rNCZr+POeFCsnUhBHdTfJOG8tcu3Q5NCnbSrtz0QxNymLpjmfmniO9n6VbQFLeMOV0VMrfR56+gI59x2P3+lkWdUZ6HyIrr2MByUr6qe/NAqKmL1hA5DmygMgzpAh8Dog8RxYQeYa2EIF2frp1J0q84Td2JoeqNtJb8ntRj0Q4GkTLHn5IJ33funsfTo6OFp3Jkd7noPvQgX4kaZT8rTutnHI7SGZMFVdXJ6Mnm6etn5iYhJt3ouDhnsforMHD6Meg3BNK2qdC7XkU/cTkfbNlc4Cri5OYjSLeyUiGh3te/enkNINBy86MFjvoZ6S02pVenplxnRIBoe3PCni8pjdZXcN1uxqsnO+P94wkMGXGA2b0PVhAMpqw5fFZQCxnZa4mC4g8RxYQeYYsIGoYsoCo4chRXkwClPj+y/5jJhvvP9DbYJctFU9KAjEoMNhkqPfLvikONzRVaJnd1ZuGMz5UP3u2bFgwyXAmS0W7MzOGEgGh7c/mL/0BA7t/gU+qvSfs89yFK5gRshanz1/Crz/My1DzzUxgae/FApKV9FPfmwVETV+wgMhzVCEgByIcsP0XO4PGfPJxIj6rY+LNmHzTbSoCz4DIdwcLiDxDjsAEmIB6AkoEhKa3RkwINVhbRs2lBCQ6dOZlLSwgttOzLCBq+oIFRJ6jCgHZ/6s9duy0N2hMzY+SUK9uknwjX4AILCDyncQCIs+QIzABJqCegBIB0TXrj7/+ETMftBaOdlSo8n4ZUBLTy1xYQGynd1lA1PQFC4g8RxYQeYYUgQVEniMLiDxDjsAEmIB6AsoEhBJuLv/vpjjYpmSxQiKb/59rt8TODbqkHPXNz/qILCBZ3we6FrCAqOkLFhB5jiwg8gxZQNQwZAFRw5GjMAEmoJaAEgGhbcho72M6nJCKbtlVf/85uPzPTfy4dILaVttQNBYQ2+kMFhA1fcECIs+RBUSeIQuIGoYsIGo4chQmwATUElAiILSX8dxFGzC8txdWbNiBjp/XE3kfhyP/QJdBk3gbXo0+o2UGNGCJik5AXEKi2h5+haKxgKjpbBYQeY4sIPIMWUDUMGQBUcORozABJqCWgBIBadl1NBrUripOVuwxbBqa1qshBIT2ZK7Zoh9WhwSgwjsl1LbcRqLxDIiNdAQfRKisI1hA5FGqEBD5Vrz4ETgHRL4PWUDkGXIEJsAE1BNQIiB0DkiLRh+jazvPVAJy8fI1NPMZhe2rp+GNAq+rb70NRGQBsYFO+LcJPAOipi9YQOQ5soDIM+QZEDUMWUDUcMyqKHSidcTR02hU50NlTaDD+e4/eIQCHu76g++UBU8RiE7drlqxDPLmVrMZER3ad+feQ7G5UQ7H7EqbrMWEDgW8fe++yGnWHXKYsgF07ge1T9WzWvpwWu0yFofaaW9nn6F9b0n7lQjI2JnLcODwKSyd8xXGTFksZkDq1qyMYWMX4PezF7Fnw2w4OBhuJ2lJA229DguI7fQQC4iavmABkefIAiLPkAVEDUMWEDUcsyrKqXN/o12vr3F69xLpU8npGfqNmo1dv0aKx6GBfIuGNTHEt434WbdqJe2zLpoxHNUqlTVAsHD5JiECPm0bGsVTrrYPVswbhYrl35LGF/rtZswKXa+P06B2FQQM9kHuXK7id/Qi/OKV66nu08enBXr7tNC8tzkmdPHe305i6NcLxCnrVAKG+KBN09ri/9Pv/MYt1DN9t2wpzB3X36LNl6zlnfZBzLXL1EOTaLXtGYgeHZuiSb3qmmwysoISAbn/MBqffzkGt+7cF20tXDCf+CJTx8ybMACf1qiYkc+QpbFZQLIUf6qbs4Co6QsWEHmOLCDyDMUAKacjnsQ9Q9zTV+PcEzXUUkdhAckIqoYxk27fQNLdm+KDbGXVjXlUC8i8xRtRv3YVFH3DAwePnUWfkbOwesEYVChTEvfuP8InLfsjZPIQ8bmueLyeF85OjgYPnZkCsm7zHhQp5IH3yr6J/12/jW6DJ6ObV2O9/JCANP6sOhp+WlXfztw5XS06BNscExqwExM6tbxDq8+wJ+IEBvjPxbZVU8VYN2zlT1i3aQ+Wzx0lGPUaMRMlihbE2OFdNb941vJOGVCrXcZuPi1kDZas3io+mjyq58shIPQwBGPtpt0488clRD+ORYkiBdDSsybeKlFYsxNe5AosILbTeywgavqCBUSeIwuIPEMWEDUMWUDUcDQXJf6ntYhdOkdfxaH4m3ALmAs7V/mlRzoBoQEwDXSjY2LRs1NTfNm+sbjfpHkr4WBvj4tXrmH/oVOo/kE5jOjTHqErN2PXgUhUrfgO+nf7HG+XKmL0Eeq0HoR2zeuIN+K6AfHmZRPFIFqrWCIgnb6oj0PHz+LPv6+K3GCataCB+qbtEdh78CRyurlg847fxNlxgUN98NvRM1j9wy4xg9C3SyvUrVnJaDP8pyzGtRt3sHimn/icBIRmYlp5fqLVbM3PUzKhWYbeX81E5PZQOP677Muzo5+QkQ6t6uGL7gGg2ZjuHZqIuLTsbHDgfItmrKzlnbLhWu0y9pAPHsYgLiEB7XuPxeAebV4eAUn7sE9i45E9ezZkz+ag2dkvcgUWENvpPRYQNX3BAiLPkQVEniELiBqGLCBqOJqKkvw4Gg+7NDL42OmLLnBq00365joBaVy3mhjA06xF+Nqf9W/g6Y370ZPnMbhna5QoUhAB05bg6o07YkBMMrJs3TYxyKfjEdKWK1dvgQbT8ycOQq3q7+kFpM5HFZE7lxtKlyyM5g0/Bs0kGCuWCEj5t0ugq5cn7kY9FEuoxgzyFs8RvuZnTF2wGt28PPFR1Qr49rsd2Ln/uNjQ6PPGn+DY7+eFcO3bOMdg6dnTZ4lo4DUUjetW1y8fIwFxdXVGqWKFUCi/uxhcF30jv9X80zKhXV7D12zFlhWT9bFoyVbxIgXFvas08sU4v25CQqic/fMyWvcIRMSmYJPcdIF0AmIp75QPo9Uucw/ewGsY+nVt9XIICJns0nXbEDZtmJjuSjnNo/tiW/0teEEuYAGxnY5iAVHTFywg8hxZQOQZsoCoYcgCooajqSjPzhxHTFB/g4+zlX0fboHzpG9ubAkWSQMJRstGNcWSn0oV3tK/gadB/oVLVxE8YaC49+6ISJGbu//7uanaQue3dew7Dm6uLgifNULk6cY8jsXssPWgJVeUVL1x634xE7EmJED/9j9lEEsEJGUOyIQ5K0D3HT/iSyEgB46cEuNGKr8eOS02MTqzJ1z8TMn3NZr1EQP/YoVTiwRJ1padh/DT8knweD2PqB+8ZCPsHeyRnAzsOnAcJBIbwoKskhBjTGiJ1c+7D2N9aJD+0SkfxM3FGQFDOqP8p130AkcVdJsv/bJmOgrmdzfb/9byThnMXLtoJumVERBfv+nClmlNGU2z0ba8NA32MDoGt27fx5qFAdJ/hLYagAXEdnqGBURNX7CAyHNkAZFnyAKihiELiBqOpqIkXr6A6OFdDD52rNUILn1GSd/cmIAMDgwWuy35D/I2EJBvVmzCybMX9QJy8PhZdBs8RT+wpwbRkvkB/nNw83YUls0ZaTJP4tI/N9DE+yusmu8PSq5OW6wVEFpaRTkIlD+RVkDoIOtO/Sbo2xmf8BSV6nfHd4vGplo+Nj/8ewSHf2/2eIenT5+hQfth6PR5fXRpZzg7ZaxTTDHRmmmgGRASqvq1PhBhrZkBSdsOLd4p62u165UREJrOoWm0Ns0+FVODU+evxpGtC4VNf/rFQDGF5p43l/Qfoi0GYAGxnV5hAVHTFywg8hxZQOQZsoCoYcgCooajuSgxgX3x7OyJVFXcAuYgWznj+QvWtMiYgNCYi5ZG9e7c3EBAaLeoE2f+Mikgj2KeoP/oOYiNjXAIkEEAACAASURBVMfCKUPMJmnTjEBVT1+RZ/FhxTLSAhI0Yyn+unQNy+eONCIgF9Cp33iTAkLbzU4PWQMaeC+dPQJlSxc3i7FtzyDUqvG+YKRVzDHR5Vqc2BEm0gqoEH/v1vX1OSCU+K7LybEmByRtu7R4p6yv1a5XRkCoo+vV+kB0AE2hkUnSF+xh9GPUaNpHzIDQOsCXsbCA2E6vsoCo6QsWEHmOLCDyDFlA1DBkAVHD0VwUygNJ2LMVtBzL3qMgslepqUQ+6J46Adn67RSx3GjTjggETgvXj6vSLsEyJyCUm9vON0icVzEzqC/cXJ3FY9nb24skcBrUxsXHo1rlciJ/d1boBrEM65e1043mM1gyA0K5J551q+Fw5DkMHxcilop5t25gtYCMnrxItIV26CpZ7L8E+fz58uL6zbtiG1wSAfe8ubFt92H4jV8oZncqv1va7BdAiwl9XqVRT/j18UJ7I7tgEe/1m/eKXbBcnHPA12+GxbtgWcs75YNotYuW0HUZRDuFeerPkKF+T05KFrNadHB4k8+q66Uq4/9KDO+gZBveOYs2gL6IlCT1086DYieD1k1qi+3KaIs3ngEx37W01SQNWKKiExCXkJgV34OX4p4sIGq6kQVEniMLiDxDFhA1DFlA1HDMqiin/rgkpMHF2Ul/DgUNhmkQT4UEhAbZujfwaQXkUOQ59B05G0e2hoijEmiHp7SFzgOhHJEd+45i5MQw/X3o91P9e6FaZcMzQCiGJQKSst2UGD52WFeRT0KrZSKOnMY3U4eK5hw/lXoGJCHhKSqmWIJFsw6UXJ+2UI6InR3gM3CS/igIqpOSkbm+02JC15LcUOK5rowe2AleLeqKH2nWgnJC9h08KX6ml+1zxw/Q56aYu7e1vNPGMtcuXQ5NyrbS7lw0Q5OyWLrjWUZ8/5UICHVA0PRw/HbsDGpVf18ICJ0USduT0fZwnANivutYQNR8tVlA1HBkAZHnyAIiz5Ai8Dkg8hxZQOQZ2kIE2vnp1p0o8Ybf2JkcqtpIb8nvRT0S4WjGxY5G9xIlOTkZt+7eh5Ojo0VncqT3VnQf3flzlPytO62cVuSQzJgqrq5ORk82T1s/MTEJN+9EwcM9j9FZA1rxQ7knlLRPhdrzKPqJyftmy+YAVxcnMRtljDfNYNCyM6PFDvoZKa12pZdnZlynREAyo6G2eg9egmU7PcMCoqYvWEDkObKAyDNkAVHDkAVEDUeO8mISoMT3X/YfM9l4/4HeBrtsqXhSEohBgcEmQ71f9k1xuKGpQsvsrt40nPGh+tmzZcOCSYYzWSranZkxlAoIJZ3HxsUbtJ+MUNaiMxOKNfdiAbGGVsbWZQFRw5cFRJ4jC4g8QxYQNQxZQNRw5ChMgAmoJaBEQGgNHe2qcPr8JaOts+RAFrWPlXnRWEAyj7XWnVhAtAhZ9jkLiGWczNViAZFnyAKihiELiBqOHIUJMAG1BJQICG2t9su+o2J3g8nBq8SpkLRH9YyFa1HA4zUETxz00p6IzgKi9gspE40FRIbef9eygMhzZAGRZ8gCooYhC4gajhyFCTABtQSUCAgdPNikXg10+rye2LXgx6UTUKpYIbGlW++vZuLwlhCRbPMyFhYQ2+lVFhA1fcECIs+RBUSeIQuIGoYsIGo4chQmwATUElAiIOIgwvaN0aZpbdCpkFP8e+LTGhXFlmn02cr5/njPyCmaah8la6KxgGQNd2N3ZQFR0xcsIPIcWUDkGbKAqGHIAqKGI0dhAkxALQElAuLVeywqlnsTw/t4YXBgMB48jMH0wN7YtD1CLMnatW4m6LCYl7GwgNhOr7KAqOkLFhB5jiwg8gxZQNQwZAFRw5GjMAEmoJaAEgGhgwjPX/wfgicMxMmzF9G+91h9KxvUroIZgX3UttqGorGA2E5nsICo6QsWEHmOLCDyDFlA1DBkAVHDkaMwASagloASAUnbpAuXruLgsbN4u1RRVHn/7Zd2C156bhYQtV9ImWgsIDL0/ruWBUSeIwuIPEMWEDUMWUDUcMyqKHSidcTR02hU50NlTaDD+e4/eIQCHu6wpy9IBhU6dbtqxTJiUyIVhQ7tu3PvIeiE9hyO2VWE1MfQYkKHAt6+d18cNKg75NCaBtyNeghXF2eLD5Gk+9Fhhg4O9tbcRtSlM0iIlaXc6T6JSUnpei6rG5figgwREJkGvWjXsoDYTo+xgKjpCxYQeY4sIPIMWUDUMGQBUcMxq6KcOvc32vX6Gqd3L1HyMrffqNnY9WukeBwayLdoWBNDfNuIn+kk8Zot+hk86qIZw1GtUlmD3y9cvkmIgE/bhkbxlKvtgxXzRqFi+bek8YV+uxmzQtfr49DqmoDBPsidy1X8rlnnkbh45Xqq+/TxaYHePi00722OCV1MGyoN/XoBnsTGiVgBQ3xEzrMl5Z9rt+DrNwNXrt4S1Vt5foIxgzub3RmWhCBwerioHzS0iyW3EXWofX7jFur7992ypTB3XH/96eymAlG6xMzQdSJdIjNLugXk+Kk/MXneKswa2w8/bvsVv5+7aLLdU/194eLMu2CZAvRaTkfQgCUqOgFxCYmZ2f8v1b1YQNR0JwuIPEcWEHmGFIH+bXwS9wxxT5PUBHwFo7CAZE6nJz+ORkxQP+TwbAPH2p7KbqpaQOYt3oj6taug6BseYqVKn5GzsHrBGFQoUxL37j/CJy37I2TyEPG5rni8ntfom/vMFJB1m/egSCEPvFf2Tfzv+m10GzwZ3bwa6+WHBKTxZ9XR8NOq+nbnzumKPLndNPvCHBOaGSEmdGp5h1afYU/ECQzwn4ttq6aicMF8mrF7DJsGN1dnjB/RHTdv30ObnkEYM8gbTevXMHotzRqNm7VcyOAXTWpZJSBhK3/Cuk17sHzuKNFfvUbMRImiBTF2eFej9yI56j50mtgwivK0XyABuYCpC1aL/I5N238F/ZGYKpNH92QBMfM1ZQHR/Bu2qAILiEWYNCuxgGgi0qzAAqKJyKIKLCAWYTJbiQVEnqFWBJ18JF7+S1R16T1SmYToBIQGwDS4jI6JRc9OTfFl+8biXpPmrYSDvT0uXrmG/YdOofoH5TCiT3uErtyMXQciUbXiO+jf7XO8XaqI0ceo03oQ2jWvgx4dm+oFZPOyiWLgqlUsEZBOX9THoeNn8effV8Wgm2YtaHBMb933HjyJnG4u2LzjNxT0eA2BQ33w29EzWP3DLvHWvm+XVqhbs5LRZvhPWYxrN+5g8Uw/8TkJCM3E0AyDbEnJRHecROT2UDj+u+zLs6OfkJEOreqZvdXD6Meo0bRPqlmg8bOX4+btKMwdP8DotU9i4/Eo5jFmfrMOTjkcrRKQL7oHgGaG6Ew+KiQzgwPnm5w9o2VatDSMvidh9H15UWZAZDs4o6+3dr2eufrm1h3yEqyM7knL47OAWM7KXE0WEHmOLCDyDCkCC4g8RxYQeYbmIqSVD11dVRKiE5DGdauJATzNWoSv/Vn/Bp7ech89eR6De7ZGiSIFETBtiXijTYNQkpFl67aJQf6kkT0MHoOWBdFgev7EQahV/T29gNT5qCJy53JD6ZKF0bzhx6CZBGPFEgEp/3YJdPXyFANdWkKle/sfvuZn8RK7m5cnPqpaAd9+twM79x9Hg9pV8XnjT3Ds9/NCuPZtnGOw9Ozps0Q08BqKxnWr65ePkYC4ujqLM+gK5XdHk3rVUfSN/FZ3flomazftQfiardiyYrI+Fi3ZKl6koP7epm5y8fI1NPMZhT0bZiGfex5Rbfn67fhh269YHxpktm1fz1yGxMREqwSEjsGgg8BJQqic/fMyWvcIRMSmYJN9SPW27jok+uKFFhBKPqcvflJiMooW9sCbxd9QsmbR2m+Qtev1zNXXWnfIAmJt72RcfRYQNWxZQOQ5soDIM2QBUcOQBUQNR1NRoof7QDfzkbaO69AJyF5V7o28sSVYJA0kGC0b1RTLbCpVeEv/1psG+TQWo11JqeyOiMSYKYux//u5qZr3+EkcOvYdBzdXF4TPGiGSnWMex2J22HrQkitKZN64db+YiVgTEqB/+58yiCUCkjIHZMKcFaD7jh/xJUhADhw5hbBpw0TIX4+cBi1XOrPnee4DJd/XaNZHDPyLFU4tEiRZW3Yewk/LJ8Hj9ecD++AlG2HvYI/kZGDXgeMi52JDWJBVEmKMCS1r+nn34VTCQPkgbi7OYsbGXIk8fQEd+45PJQAkNCHLftAc7FsrIJQ3Uv7TLnqZpHbpBOiXNdNRML+7yaa+0AJCX1pKsiHYKQslHk346kurvgCy/1RYu15Pq77WukMWENkeU3c9C4galiwg8hxZQOQZsoCoYcgCooajqSgJe7bgyfwJBh87FHsTboFzYecqtwOUMQGh89ZohyP/Qd4GAvLNik3iOASdgBw8fhbdBk/RD+ypoTTuGeA/RywFWjZnpMk8iUv/3EAT76+war4/KKE5bbFWQGhp1ZLVW8XsTVoBobziTv0m6NsZn/AUlep3x3eLxqZaPjY//HsEh3+P1SEBqPBOCaPd8vTpMzRoPwydPq+PLu0aWfQFMMVExQzI3u9m6xPBM3oGhOSufq0PxDO/EjMgtKZt5cadYjqKpIN2RTh84g8x9UeW+N3isZm2vZe16/WsrZ923SELiEV/25lSiQVEDWYWEHmOLCDyDFlA1DBkAVHD0VyUtBKiSj7onsYEpIHXMLE0qnfn5gYCQqs2Tpz5y6SAPIp5gv6j5yA2Nh4Lpwwxm6RNMwJVPX1FnsWHFctIC0jQjKX469I1LJ870oiAXECnfuNNCggtk58esgYkBEtnj0DZ0sXNdmzbnkGoVeN9wUirmGOiGyOe2BGG7NmziVDE37t1/XTlgIyduQy37943mQOia6u1MyB0HeWAUBK+Lj9IKwdEd68XegaEtm2r/O7bmPV131T9TIlFfuMXYuPicWItYWYUa23VmvrG1h2ygGRGr1p2DxYQyzhp1WIB0SKk/TkLiDYjS2pwDogllMzXYQGRZ2hJBJ2EqJSPlAKy9dspYrnRph0RCJwWjjULA0D5FWmXYJkTEEpwbucbJM6ImBnUV+zORMXe3l4kgdNgOy4+HtUqlxPbxM4K3SCWYf2ydrrRHAJLZkAo98SzbjUcjjyH4eNCxFIx79YNrBaQ0ZMXibbQDl0li/2XIE+7N12/eVdsPUuDb/e8ubFt92Ex9qTZncrvljbbfVpM6PMqjXrCr48X2qdjF6wvh05FLjdXsews7S5YtMytyyDazctTf85LYmISkpKSMG72cjx7lojAIT5wcHCw6LwW6vv1m/eKXbBcnHOIlUkpd8GihPRCBdwx1LetYELLtugetMSMtuHdtnIq7OztMm3CIN3b8KbsUQJM+R4j+rZP1dEPHsbgo+Z9TU7fWfJHbW0da9frWVPf2LpDWm8oW+z+PQdIRSzZtrzI1zNHNb1HHPm7KMnSDqA/a+Yox1F8F8V/KeXivOpXv4p/07r/HmRm3z89vA/ZylWUXnaVss2n/rgkpIGOMtCdQ0GDYRrEUyEBoUG27q13WgE5FHkOfUfOxpGtIbh15z5oh6e0hc4DoRyRHfuOYuTEMP196PdT/XuhWmXDM0AohiUCkrLdlBg+dlhXkU9CifQRR07jm6lDRXOOn0o9A5KQ8BQVUyzBolkHyjFOWyhHhPraZ+Ak8Xy6kpKRue+AFhO6luSGEs91ZfTATvBqUdeirxYtYyMR0LW9RcOPhVTQbIouzyVlvLU/7gbNFKUstI2uJbt70YwV5afsO3hSXE6CSrtt6fJkWnYdLYSEdq+lQrNRzbuMSnUv2ujA2IYFFj2slZWUCMi2PUdAdprWko/9/ie8+0/A4S0hcHXJnHNArJnRIFaW1je17vBGVKyVyA2r53V7fg7I/Rg+B0QGZi6X7EhMTMbj+GcyYV75awvkdcat+7E85pP4Jjhld4Bzjud/01zST4D+bYylc0Ce8Tkg6aVIMyD58jz/m36VCs3kvkyFVmDcuhMl3vDTNrYZVWh25F7UIxGeBq52kiZHb9lv3b0PJ0dHi87kSO9z0X3o7AySNEq41p1WTrkdJDOmiqurk0Vv/Glm4uadKHi459EvxaIZDFoaZrTYIdWsEYkOzTildyxszXPQ9r+UB0MbCNhySbeA0FQOrS+zpPy2eT5yublYUlW6jrXr9bTqa6075CVY0l2mLAAvwVKDkpdgyXPkJVjyDCkCL8GS58hLsOQZcoQXlwAlvv+y/5jJB/Af6G2wy5alT0tL4a7eNJyVoeuzZ8uGBZMMZ5ssjZ22XkY+R3rbJHtdugWE9mum0ygtKV4t64rE9MwoWuv10q6506pvbt0hGTYLSGb0qmX3YAGxjJNWLRYQLULan7OAaDOypAYLiCWUzNdhAZFnyBGYABNQTyDdAqK+KeoimluvZ2zNnbn65tYd0t7ULCDq+k02EguILMHn17OAyHNkAZFnSBFYQOQ5soDIM+QITIAJqCegTEAo0Yl2KKDDX3w7NROnak4LWQP3PLks3odZ5eMZW69nLr619XWxWEBU9ppcLBYQOX66q1lA5DmygMgzZAFRw5AFRA1HjsIEmIBaAkoE5Mz5y2jTMxC0HVp0TCzGDPIGZdLT2SB0Rsixbd/AKUfGJU2pRWJdNBYQ63hlZG0WEDV0WUDkObKAyDNkAVHDkAVEDUeOwgSYgFoCSgSEDud7GB2D2V/3Q8/h09G0Xg0hILpTNH8MH49Sxd9Q23IbicYCYiMdAYAFRE1fsIDIc2QBkWfIAqKGIQuIGo4chQkwAbUElAgIHUQ4qEdrsU9xj2HT9AJCW6LRZ+tDg1DmrWJqW24j0VhAbKQjWECUdQQLiDxKFhB5hiwgahiygKjhyFGYABNQS0CJgNBBhO55c2HyqJ6pBER3EvrBzfORM5O24VWLRzsaC4g2o8yqwTMghqR37bVH9Q+T4GzFMTwsIPLfWBYQeYYsIGoYsoCo4chRmAATUEtAiYDQ6ZkDx8xD+5Z1cej4OdSu8T5ey5MLUxesBp36SEfQv6yFBcR2epYFJHVffPeDA06ctEOBAkAX72cWSwgLiPx3mgVEniELiBqGLCBqOGZVFNq5M+LoaTSq86GyJtChdvcfPEIBD3fY0xckgwqdFVe1YhnkzZ1TyR3okMQ79x6CTmhXfbSDFhM6E+72vfvicD/dIYeWPlR8wlPcufdAnGZPbbe20PER9OyWcqRDGROTkqxup7Xtkq2vRECoEXSi+NT5q8UplLrSuG41jBrYKdVpkLINtrXrWUBsp0dYQP7rC5186H5jjYSwgMh/p1lA5BmygKhhyAKihmNWRTl17m+06/U1Tu9eIn0qOT1Dv1GzQUcPiL+vPDnRomFNDPFtI37WLZtP+6yLZgxHtUplDRAsXL5JiIBP24ZG8ZSr7YMV80ahYvm3pPGFfrsZs0LX6+M0qF0FAYN9kDuXq/hds84jcfHK9VT36ePTAr19Wmje2xwTupgOrB769QL9+DZgiA/aNK2tGZcq6M6S01WuVKE05o7rb9Gp8DSe9hu3UN9f75YtJa7VOuF80/YIzAxdh13rZlrUxqyqpExA6AHouPurN++KTipcIJ9FgLPqwVXdlwVEFUn5OCwgzxmmlQ8dWUslhAVE/rvIAiLPUAyQcjriSdwzxD1NUhPwFYzCApKxnZ4cE43EKxcMbmLnmgsOxd+UvrlqAZm3eCPq166Com944OCxs+gzchZWLxiDCmVK4t79R/ikZX+ETB4iPtcVj9fzwtnJcCfTzBSQdZv3oEghD7xX9k1xCHa3wZPRzauxXn5IQBp/Vh0NP62qb3funK4WjUPNMaGZEWLSt2tLdGj1GfZEnMAA/7nYtmoqChfMp9m/xOjjqhVQulQR3Lh1Fx36jEOnL+qjR8emmteGrfwJ6zbtwfK5owT/XiNmokTRghg7vKvRa/+5dgvdh07D1Rt3xK60r5SAaNJ8CSuwgNhOp7KAADQBuXhpNty6ZdgvTjmALp2foWAB833GAiL/nWYBkWfIAqKGIQuIGo6mojw7dRQxYwcafJytfGW4jZktfXOdgNAAmAajdNRBz05N8WX7xiL2pHkr4WBvj4tXrmH/oVOo/kE5jOjTHqErN2PXgUhUrfgO+nf7HG+XKmK0LXVaD0K75nXEgFgnIJuXTRQDXa1iiYDQYPvQ8bP48++rYndUmrWgwTS9pd978KTID6Z84YIeryFwqA9+O3oGq3/YJd7y9+3SCnVrVjLaDNp99dqNO1g80098TgJCMzG0GZJsScmEZj96fzUTkdtD4eiYXYT27OgnZKRDq3pW3erp02eg2P26tkKbZp9qXvtF9wDQTE/3Dk1EXVrSNjhwvsnZMFqmdTfqoej3MOr/l3UG5OuZy/Dr4VOaAKkC7YLFSeimUdFbPhqwREUnIC4h0SKmXMmQAAvIcybGJMRS+aDrWUDk/7pYQOQZUgSeAZHnyAIiz9BchMwSEFrSTgN4mrUIX/uz/g08vRU/evI8BvdsjRJFCiJg2hLxBpwGrSQjy9ZtE+OvSSN7GDwGHRxNg+n5EweJw6N1AlLno4rIncsNpUsWRvOGH5tcRm+JgJR/uwS6enmKgTEtodKdExe+5meRJ9zNyxMfVa2Ab7/bgZ37j6NB7ar4vPEnOPb7eSFc+zbOMVh69vRZIhp4DUXjutX1y8dIQFxdnVGqWCEUyu+OJvWqo+gb+a3u/LRMKL0gfM1WbFkxWR+LlmwVL1JQf2+tm9DqoMWrtwrhyueeGxNGdIebq7PWZajSyBfj/LoJCaFy9s/LaN0jEBGbgs2mNmzddUiwfWkFhE49//vKDQHlt2NnEPXgkfgypCxksSWLFkT47K+MTt9p0n8BKvAMiO10EgvIf32RUkKskQ8WEDXfZxYQNRxZQOQ5soDIM7QFAUmZA0LSQILRslFNsSynUoW39G/JaZB/4dJVBE94PiuzOyISY6Ysxv7v56Z6jMdP4tCx7zi4ubogfNYIODjYI+ZxLGaHrQctuaLEZxrn0UzEmpAA/dv/lEEsEZCUOSAT5qwA3Zc2JiIBOXDkFMKmDRMhfz1yWuyiemZPuPiZku9rNOsjBv7FCqcWCZKsLTsP4aflk+Dxeh5RP3jJRtg72CM5Gdh14DhIJDaEBVklIcaY0DKon3cfFi/SdYXyQdxcnMWMjSWFlnGNmhSGP/66IthOHNlDzPiYK5RIXv7TLno5pLoXL19DM59R+GXNdBTM727y8pdeQFI+ece+41GjSnn07tw8FRAyx7mLNggLy549myX99MLVYQGxnS5jAUndFyQhq9Y4oFGDRM1lVymv5BkQ+e80C4g8Q4rAAiLPkQVEnqGtCcjgwGCxI5L/IG8DAflmxSacPHtRLyAHj59Ft8FT9AN7ehYaEA/wn4Obt6OwbM5Ik3kSusOkV833ByVApy3WCgi9lF6yequYvUkrIMdP/YlO/Sbo20k7R1Wq3x3fLRqbavnY/PDvERz+PVaHBKDCOyWMdg0tdWrQfhg6fV4fXdo1sugLYIqJihkQXQNIKroPm4YC+V4TMxtahWZASNbq1/pAVOUZECPE6LBBWs9G69pSFlrz17LraGwI+xrvvFlUi/UL+TkLiO10GwuImr5gAZHnyAIiz5AFRA1DFhA1HE1FyawlWClnQBp4DRNLo+ilb9oZENot6sSZv0wKyKOYJ+g/eg5iY+OxcMoQs0naNCNQ1dNX5Fl8WLGMtIAEzViKvy5dw/K5I40IyAV06jfepIDQNrjTQ9aIHVeXzh6BsqWLm+3Ytj2DUKvG+wYvxo1dZI6JLgfkxI4w/Yt04u/dur7VOSB0b5oF+vufG/qZH3MPQTkglFSvy/fRygHRxXqlZkB8/abj2O8XsPe72XBxzqHnqTPVH5aMx5sl3sjYfwWyKDoLSBaBN3JbFhA1fcECIs+RBUSeIQuIGoYsIGo4moqS+Pd5xC6bZ/CxQ8nScPbuJ31zXRL61m+niOVGm3ZEIHBaONYsDADlV1gjIE9i49HON0icKTEzqK8+D8He3l4sCaLBdlx8PKpVLofs2RwwK3SDWIb1y9rpRnMOLJkBodwTz7rVcDjyHIaPCxFLxbxbN7BaQHTb2dIOXSWL/ZcgT7s9Xb95V2xVS4N197y5sW33YfiNXyhmdyq/W9psH2gxoc+rNOoJvz5eaG/lLli0pI1mpGipXOFCHmIG48shU4VQ0EYCWoVkcv3mvWIXLBpb+/rNSLULFiWkFyrgjqG+bUUommF59ixRLBmjbXi3rZwKO3s7mz0PRMk2vKf+uCS+1FQoWYa2Jos8/RdoSo32fw6fPcJmAWh9AbQ+ZwHRIpR5n7OAqGHNAiLPkQVEniELiBqGLCBqOGZVFN34ig6x052zRoNhGsRTIQGhQbbuLXnaGZBDkefQd+RsHNkaglt37otdmNIWOg+EckToUOmRE8P096HfT/XvhWqVDc8AoRiWCEjKdlNi+NhhXUU+CSXSRxw5jW+mDhXNOX4q9QwIJW5XTLEEi2YdKLk+baEcETs7wGfgJPF8upKSkbm+02JC15LcUOK5rowe2AleLepqfiVoBqnzgIk4d+GKvi4dzj1mcGeLDlKk6ynfZN/Bk+J6Es654wfo815ohRHtVjYjsI/4nGaXmncZlapdtHGBsQ0INBufCRWUCAi18/zF/yE4fCMiT10Qh9mQhJCNdm3nqT8oJhOeJ9NvwQKS6chN3pAFRE1fsIDIc2QBkWdIETgHRJ4jC4g8Q1uIQDs/3boTJd7wGzuTQ1UbaXbkXtQjEY5mXOxodC9R6K38rbv34eToaNGZHOm9Fd2Hxp4kaZSgrTutnHI7SGZMFVdXJ4tekCcmJuHmnSh4uOfRL8WiRH1aGma02EE/a0Qice/+Q7z+Wh79KiFr2vUw+jEor0XrAML0ssuq65QJiNYDUCLU++XehFMOw8NstK615c9ZQGynd1hA1PQFC4g8RxYQeYYsIGoYsoCotUaFfAAAIABJREFU4chRXkwClPj+y/5jJhvvP9DbYJctS5+UlsJdvWk4K0PXZ8+WDQsmGc426WJnZLssbX9W18s0AaE9mhdOHaq59VhWA7H2/iwg1hLLuPosIGrYsoDIc2QBkWfIAqKGIQuIGo4chQkwAbUEWEAkebKASAJUeDkLiBqYLCDyHFlA5BmygKhhyAKihiNHYQJMQC0BFhBJniwgkgAVXs4CogYmC4g8RxYQeYYsIGoYsoCo4chRmAATUEuABUSSJwuIJECFl7OAqIHJAiLPkQVEniELiBqGLCBqOHIUJsAE1BJgAZHkyQIiCVDh5SwgamCygMhzZAGRZ8gCooYhC4gajhyFCTABtQRYQCR5soBIAlR4OQuIGpgsIPIcWUDkGbKAqGHIAqKGI0dhAkxALQEWEEmeLCCSABVezgKiBiYLiDxHFhB5hiwgahiygKjhyFGYABNQS4AFRJInC4gkQIWXs4CogckCIs+RBUSeIQuIGoYsIGo4ZlWUh48eI+LoaTSq86GyJtAhePcfPEIBD3fY0xckg8q2PYdRtWIZ5M2dU8kd6JDEO/cegk5oz+GYXUlMXRAtJnTg4O1798VhgLpDDpU2wEwwOvCQnt1SjnQoY2JSUqa301oemSYgoyaFYXDPNnDPm8vaNtp0fRYQ2+keFhA1fcECIs+RBUSeIQuIGoYsIGo4ZlWUU+f+RrteX+P07iXSp5LTM/QbNRu7fo0Uj0MD+RYNa2KIbxvxM50kXrNFP4NHXTRjOKpVKmvw+4XLNwkR8Gnb0CiecrV9sGLeKFQs/5Y0vtBvN2NW6Hp9nAa1qyBgsA9y53IVv6Oz5i5euZ7qPn18WqC3TwvNe5tjQhfv/e0khn69QJyyTiVgiA/aNK2tGZcqTA5ehWXrtqWqSzyIi1ah+/mNW6jvr3fLlsLccf01T0TftD0CM0PXYde6mVq3yNLPpQSEjHHGwjX49chpYVpN6lVHl7aN9MfUZ+mTZdLNWUAyCbQFt2EBsQCSBVVYQCyApFGFBUSeoRgg5XTEk7hniHuapCbgKxiFBSTjOz3x8gVxE4fibyH5cTTit6yDU+uuSm6sWkDmLd6I+rWroOgbHjh47Cz6jJyF1QvGoEKZkrh3/xE+adkfIZOHiM91xeP1vHB2cjR4nswUkHWb96BIIQ+8V/ZN/O/6bXQbPBndvBrr5YcEpPFn1dHw06r6dubO6Yo8ud00+8EcExrnEpO+XVuiQ6vPsCfiBAb4z8W2VVNRuGA+zdiT5q0U7R3e20tfN0eO7CiQ7zXNa8NW/oR1m/Zg+dxRgn+vETNRomhBjB1u/Lv1z7Vb6D50Gq7euIP8+fK+3AIyOHA+aIqt5ocVkJDwDIciz6FLu0YY6ttWE+zLUoEFxHZ6kgVETV+wgMhzZAGRZ8gCooYhC4gajqaikHzEBD6fNXAdNgGxS+cg8fJfcKzdCC69td9ya7VOJyA0AKbBaHRMLHp2aoov2zcWl9IA18HeHhevXMP+Q6dQ/YNyGNGnPUJXbsauA5GoWvEd9O/2Od4uVcToreq0HoR2zeugR8emegHZvGyiGOhqFUsEpNMX9XHo+Fn8+fdVNK1fQ8xa0GCa3tLvPXgSOd1csHnHbyjo8RoCh/rgt6NnsPqHXeItf98urVC3ZiWjzfCfshjXbtzB4pl+4nMSEJqJaeX5iVazNT9PyYRmP3p/NROR20Ph+O+yL8+OfkJGOrSqpxmL+ufBoxhMGtlDs27aCl90DwDN9HTv0ER8RONtGnebmg2jZVp3ox6Kfg+j/n9ZZ0B0U3Uj+3cUHUHlmxWbMDtsAw79tABurs5Ww34RL2ABsZ1ey0wByfbbNjyr3sB2Hl5hS1hA5GGygMgzZAFRw5AFRA1HcwISHdgXePI4VRXHWo3g0kedgDSuW00M4GnWInztz/o38PRW/OjJ8xjcszVKFCmIgGlLxBtwGrSSjNDyHxrkGxsAX7l6CzSYnj9xEGpVf08vIHU+qojcudxQumRhNG/4MWgmwVixREDKv10CXb08xcCYllCNGeQtniN8zc+YumA1unl54qOqFfDtdzuwc/9xNKhdFZ83/gTHfj8vhGvfxjkGS8+ePktEA6+haFy3un75GAmIq6szShUrhEL53cWKnKJv5Le689MyWbtpD8LXbMWWFZP1sWjJVvEiBfX3NncTEpDte4+IJWyUw1Hn40qo/G5pi9pVpZEvxvl1ExJC5eyfl9G6RyAiNgWb7BOqt3XXIcH2pRWQcxeugOxs57oZ+qmkG7ej8FmbwVgfGoQybxWzCPCLXokFxHZ6MLMExHHpVGQ7uB3PqtdHgvcw2wGgqCUsIPIgWUDkGbKAqGHIAqKGo7koz84cR0xQf32V7B98DNfhk5Tc2NgSLJIGEoyWjWqKZTmVKrylf0tOg/wLl64ieMJAcf/dEZEYM2Ux9n8/N1V7Hj+JQ8e+4+Dm6oLwWSPg4GCPmMexmB22HrTkihKfN27dL2Yi1oQE6N/+pwxiiYCkzAGZMGcF6L7jR3wpBOTAkVMIm/b8v6G0lL/HsGk4sydc/EzJ9zWa9RED/2KFU4sESdaWnYfw0/JJ8Hg9j6gfvGQj7B3skZwM7DpwHCQSG8KCrJIQY0xoGdTPuw+Lca2uUD6Im4uzmLHRKjTTc/nqTZErc/r8JSFZMwJ7C9EyVyiRvPynXfRySHUvXr6GZj6j8Mua6SiY393k5S+9gBw/dQGd+o3Hwc3zhV1TiU94ikr1u8NUwpJWR72In7OA2E6vKRGQJ9Gwv3cLSUXeFA9m/+cJJJV+X/+QOvnQ/eJllBAWEPnvNAuIPEOKwDkg8hxZQOQZmh0oPo5GTFA/sexKV+xc3OAWOFfkhMgWYwIyODBYvE33H+RtICC0EuXk2Yt6ATl4/Cy6DZ6iH9hTeyivYYD/HNy8HYVlc0aazJO49M8NNPH+Cqvm+4MSoNMWawWEllYtWb1VzN6kFZDjp/5Ep34T9O3UjSe/WzQ21fKx+eHfIzj8e6wOCUCFd0oYxfv06TM0aD8MnT6vL9ICLCmmmMjOgKS994gJ3+DBw2iRZ6NVaAaEZK1+rQ9EVZ4B+ZeYTkCaN/gIjtmfb4dG2359t2WfyAkpkO8/O/Pr295oApMW/BfhcxYQ2+klaQF5Eg2nWcNgf/cW4gZNhf3Vi3BcNk0/05FWPl5WCWEBkf9Os4DIM2QBUcOQBUQNR1NR4tYuQtz6JeJjmvl4ejZSLMeyfz0/cs3fIH1zYwLSwGuYWBrVu3NzAwGh3aJOnPnLpIA8inmC/qPnIDY2HgunDDGbpE0zAlU9fUWexYcVy0gLSNCMpfjr0jUsnzvSiIA8f6mtmwFJKyC0De70kDUgIVg6ewTKli5ulm3bnkGoVeN9wUirmGOiywE5sSNMv8ES8fduXd+iHJC096YZqmO//ykYaBVaZURJ9bp8H60cEF28l34G5Mz5yyALt6TQ1JVulsSS+i9SHRYQ2+ktWQGx/99fyDFzKOxiHwPObkBsjHi4pMKlEO89FE66z9I8crKzK+JGhiD59QK2A0OiJSwgEvD+vZQFRJ4hC4gahiwgajiai/IkeLz4mHI+KCn98ZQRYgmWyhmQrd9OEcuNNu2IQOC0cKxZGADKr0i7BMucgDyJjUc73yBxpsTMoL76XF17e3uRBE6D7bj4eFSrXA7ZszlgVugGsQzrl7XTjeYcWDIDQrknnnWr4XDkOQwfFyKWinm3bmC1gIyevEi0hWYOShb7L0Gednu6fvOu2KqWBuvueXNj2+7D8Bu/UMzuaOVbaDGhz6s06gm/Pl5on45dsGZ+sw7N6tdA0cIFcP7iP+gycLIQCtpIQKtQX67fvFfsguXinAO+fjNS7YJFCemFCrjrN36iZVvPniWKJWO0De+2lVNhZ29ns+eBSG3DqwXvVficBcR2ellWQOhJUknIv/JBsyFwyWnwGdUn+YgfNE2/ZMt2aKS/JSwg6Wenu5IFRJ4hC4gahiwgajhmVZRTf1wS0uDi7KQ/h4IGwzSIp0ICQoNs3VvytAJCu5P2HTkbR7aG4Nad+6AdntIWOg+EckR27DuKkRPD9Peh30/174VqlQ3PAKEYlghIynZTYvjYYV1FPgkl0kccOY1vpg4VzdGtqtHNgCQkPEXF+t2hW4JFsw6UXJ+2UI6InR3gM3CSeD5dScnIXN9pMaFrSW4o8VxXRg/sBK8WdS36StBMDOV+6EqLhh+LpXNOOQy3NU4bkGagKN9k38GT4iMSzrnjB+jzXlp2HS2EZEZgH/E5zS4175J64wNK+E/PDlwWPZxkpQwTEDJs2pmBtlf7ql8HuLo4STbVNi9nAbGdflEhILS7FS270hdnN7EcS58TkmKW5GWUD3puFhD57zQLiDxDisA5IPIcWUDkGdpCBNr56dadKPGG39iZHKraSGO3e1GPRDiacbGj0b1Eobfyt+7eh5Ojo0VncqT3VnQf2p2VDu+jBG3daeWU20EyY6q4ujpZNEOQmJiEm3ei4OGeR78UixL1aWmY0WIH/awR1bv/MBr53P87T8Wadj2MfgzKa6ENAV6molxAaK/nLTsPYsNPe8WXgUrKRPWXCR49CwuI7fSorIBQwrnTzOc7ctCyK7t7N/XLsZ6MWyZmQaiIWZKQAMT7Br1UMx+6nmQBkf9Os4DIM2QBUcOQBUQNR47yYhKgxPdf9h8z2Xj/gd4Gu2xZ+qS0FO7qTcNZGbo+e7ZsWDDJcLZJFzsj22Vp+7O6nhIBuXPvgdjnmNaqkYBQ+ahKeXzRpDZqfvhuhtp6VgNkAcnqHvjv/rICQpEo0ZySz0US+r1bIifkaeteL+2ZH8Z6jwVE/jvNAiLPkAVEDUMWEDUcOQoTYAJqCaRbQGiHAtrP+MftB8Tpm1QqVSgNOsBmWsgarJzvj/eMbNumtvlZH40FJOv7QNcCFQIiYj2J1s92pPr/tvOoGdoSFhB5vCwg8gxZQNQwZAFRw5GjMAEmoJZAugVElzBEOxB0/LweGtauikIFXgetVavRtA8LiBX9ROucacASFZ2AuIREK67kqikJKBOQVxwrC4j8F4AFRJ4hC4gahiwgajhyFCbABNQSSLeA6PampuZQVn+Tz6qjSsV3xCmXLCDWdRILiHW8TNVmAVHDkQVEniMLiDxDFhA1DFlA1HDkKEyACaglkG4BoWbQlmh04AnlftD/py3b6n5cGes27+EZECv6iQXEClhmqrKAqOHIAiLPkQVEniELiBqGLCBqOHIUJsAE1BKQEhBdU2j7s9N/XMJPYverfWIbtMIF86Flo5poULuK2Kf4ZS2cA2I7PcsCoqYvWEDkObKAyDNkAVHDkAVEDUeOwgSYgFoCSgQkZZNor+KIo2fww7ZfQcfGU4nYFGz0FE21j5I10VhAsoa7sbuygKjpCxYQeY4sIPIMWUDUMGQBUcORozABJqCWgHIBSdk8SkjfdeA4GtX50KJTH9U+WuZEYwHJHM6W3IUFxBJK2nVYQLQZadVgAdEiZNnnfBChZZzM1WIBkWf4Kka49M8N3L73AB9WLPNSP/62PUfwwXtvwz1vrpf6OW3x4dItIHRa5qPoJxY9U97cbtKnaRq70d2oh3B1cbb4nBGt+vRM9nb2sKd/sS0sLCAWgsqEaiwgaiCzgMhzZAGRZ0gRWEDkObKAyDN8FSMsW7cNeyJOYPFMPyWPf+z3PxG28iezh/MpuZGVQcrV9sGyOSNR+d3SVl7J1WUJpFtAdNvwWtIA1Uuw/rl2C75+M3Dl6i1x+1aen2DM4M7Ins3BaHMsqR8bl4C2PQPRo2NTNKlXXR+Hzjrp7z/HIO7x7aHI4ZidT0K35AuQSXVYQNSAZgGR58gCIs+QBUQNQxYQNRy1ogReP4KgG0dFteTKvbSq2/znLCA230UvfAPTLSCRpy+gY9/xAkCHVvXwzptFTMKgLXodHbMrg9Vj2DS4uTpj/IjuuHn7Htr0DMKYQd5oWr+G0Xto1aeDE5es3iqunTyqZyoB+WX/MXw1IRTrQ4NSxS76hoeY1eEZEGXdKh2IBUQaoQjAAiLPkQVEniELiBqGLCBqOGpFySgB+evSNYyY8A3qffIB1vy4C9ExsejRsQm6d2gimkRL3acEr8L2vUeR080ZXzSpLT7P5uCATdsjsDviBFxdnPDz7sNip9LRAzuh5ofv4umzRHTsMw5T/H1RrHB+EWt++PfI6eaCTl/UR0oBefAwBr2+mglqC5VybxfHV/064O1Sz8d9Xr3HinvSodTnLlzBOL9uKFWsUCpkWjMgFOOjD8pj54Fj+PPvq2I8N2ZQZ7g450BiYhIWr96CVd/vFM9ft2YlfNW3A3LnchVtMscncFo4PqxURqQCUNkdESlY0FhPPEuKGZDl67djyZqtuHXnvmDl1aIuenVuLsZ6xPLEmb/wXrlS2LzjN7xVojCG9W6n9bXgz80QSLeA0M5XB4+dRei3m3Eo8pzY7aqrlyfKv10iQ4HrDjpcMW8UKpZ/S9xr/OzluHk7CnPHDzC4tyX16Y8rLiEB7XuPxeAebQwEJGh6OPZ/P9foc7GAZGh3WxWcBcQqXCYrs4DIc2QBkWfIAqKGIQuIGo6mooTf+wNXEmKwJ/oa9kRfF9UCC1UR/9vZ/W0Ud8wp1QDdmWuN61YTg3Iab9EL063fTkbRN/Jj+NgQ/PHXPxjcsw2iHjzCxLkrMbD7F+jQ6jOEr/kZUxeshq93M7xbphTWbtqN389eFOOZhISnqFi/OzaEfY133iwq2jhyYihey5sLQ33bphIQGkdt3Loflcq/JV4mL161BX//c0P/YpYG8VToZXShAu5oULsqCnq8ZpWAUAwaP3Zr3xh37j3ArND1GNm/g9hNlY52mBK8Wgz4Ke7ssA3iPnPG9ocWn079Jgj5aN+yrmgPPQfJ1cbF4wwEhCQuWzYHFCmUD/+7dhv9Rs/B/ImDUKv6e3qW75Ythc9qVkZBD3d41n0uNVzSRyDdApLydqfPX8LiVVvFrlfVPyiHHh2aomrFd9LXIo2rLl6+hmY+o7Bnwyzkc88japO10q5baWcp6DNr6jfwGoZ+XVsZCMgA/7lo3uAj5MjhKJKVSLbo7QIVFpAM6eZ0BWUBSRc2g4tYQOQ5soDIM6QInAMiz5EFRJ6huQi1z/+AvTHPxSNt2V26OWrnTD0TYG1rdAPs07uX6HNpPTv6iRkQGotUaeSLqf699IPhSfNW4tDxs2KATQJy4MgphE0bJm57++4DfPrFQGxZMVkM5C0VELqWlqn/fu4iLv9zA6f+uCQG8mf2hIu4JA8hk4eg5ocVTD6e1gwIxUj7Yjn6cSwmjewhZlhIkgIGdxbxaWUKjcsifgwGLbFv1+trGOND8mKNgOjGjGf/vII7UQ+E6H3ZoQk6t24gWG7bewTfzhttVZ6wtf39KtVXIiA6YHt/O4neX80UPy6d/ZUYrKsuuqVfKfNK1m7ag5BlP2DXuuf3TlmsqW9MQOgPjcQqd05XXL91D2t/3C1MetSATuI2SUnJ0o+oS3pXEUu6MS9wAJompUKzc1zST4C+j/xdTD8/uvL5V9GOv4tyGP8dcCWD/6QlQNoB9nav3t+0NZvJSNBFVgjI4MBg5M2dEx0/r4cm3l8JodAto6LlQUEzluLI1hADAaHnJGEZ59cVn9aoaLGA0DKnLoMmieVZVd5/B/EJT8WSpJQCklIejPG0VkBW/7BLCMC2VVNRs0U/McNDQkHlxq17+KztEHy3aKyYyUkrIDo+/oO8rRIQkjd6oV3no4ooVqQAtuw8iE6f10eXdo2MspT53vC1gBIBofV6Yd9uFgcR0gGEukRuStJWXXQzGnu/m43XX8stwlsyA2JJfWMCkrb9323ZB/8pi3Fy5yIxC3Lzfpz0I+Zxc4RTdnvcj0lA/NMk6XivaoBcLtnwLDEZT+ITX1UESp47fx4n3H4QB9a49OPMkd0BLjnob/pp+oPwlcjrlh1P4hIR/4z/XUzv18EewOv//k2nN8aLeF2BvE6Z2uyMygExNgNSp/UgtG5aG+1bfIYazfogeMJA1K7xvnjeeYs3Ysuug0JK0s6AXLt5F/XbDUX4rBF4v/xbeP+zbli9YAwqlCkprjW1BGty8CqR27Fo+nA4ONjj5NmLYsl6RgoIjbP+d/22aGvLrqPxUdUKYmkYld+OnsGXQ6di9/pZuHUnykBAdHx6eTdH10GT8Um19+DTtqG41tQSrOJFCuCTlv3Frl+6rYd9/abjw4plWUAy6C9JSkBoLSHlgOz6NRKlSxYW6wzr1qysX56UEW02ltMxduYy3L573+IcEFP1LREQSrKiL+Wxbd+Is014CVZG9HL6YvISrPRxS3sVL8GS58hLsOQZUgRegiXPkZdgyTO0JEJGCwgtqfJwz4Pvtu7D9JC14u0/JYHTZkBurk4IGOyD+w+jMSggGPVrVcEQ3zZCQH7YdgALpwxFfEICgsO/x6+HT2H76uni+AJankTbz1L+buSpCxg9OQzNG35skAMSvGSjSGZfMGkQnj1LFHHSLsFSMQMSONQHlOtC46zRkxeJZ2jXvI6QKnruWUF9kT/faxg3axlu3I7Cum8CcfqPS0JATPGZv/QHHI48h9lj++HajTsiRybm8RODHJC3ShZG9Sa9RQI98Tt68jyGfr0AvTs3ZwGx5A8gHXXSLSA6A6Z7UuLRp//at7E2VKn4jlIpIfPN5eaK8SO+NLoL1uDA+SJBSWfLWvXp/I/kpGQxlUkSRbt2Zc+eTTzKyo07xR952dLF8TA6BsO+DhHb/er2xmYBSce3LoMuYQFRA5YFRJ4jC4g8QxYQNQxZQNRw1IpyOSEal+OjRTXZvI+U99LNgNCuTFEPnscfO7yrOH6ACh0YSPkQF688z0OhmRDKm6DlUrokdF08WqEy1d8XlEhNhQ6KDpi2RMSlJVy0auXjqu+KgT+tLNn9a6QY69Bgv9+o2WIWhArlepAkqJ4BSfmMtNTdr297MXZ8EhuHkRPDsGPf822Oqa1zx/VHqeJv6JPQzfGhJVm0UsfF2QmV330Ld6MepUqgXz53JCpVKI1Fq7ZgxsK14h60ixctNaOdsGj2JHztz4g4chrfTB2q9VXgzy0kkG4BycpzQOgPjs4BuXrjjnjMFg0/RuAQH7000HRdiaIFMSOwj/4P1Fx9EhbK80hZNi+b+DzGwrXiS6kr9IdLf8D0h0yFBcTCb1omVGMBUQOZBUSeIwuIPEOKwDMg8hxZQOQZZmUEnYDQsu+Hjx4jTy43sQwqbaEE8xw5sot8VV3RLcFaMHEQKKGbBulpC72AvRf1CPnz5dV8zOs37yJP7pxia1zVRZeEXrJoIfEctMIkbaEVMHFxCanaaimfm3eixLJ93QZCptr/+EkcHsU8MdjFS/XzcjyJHBBK/Ln3r41rgcz/et4M2TWA9mqm80Boj2tLirX1dTHj4hPEtnA5XV2QJ7dbqluxgFhCPnPqsICo4cwCIs+RBUSeIQuIGoYsIGo4ZlUUYzkglrYlbQ6IpddlRb20u2BZ2gYZPpbeg+tlDIF0z4BkTHNevKgsILbTZywgavqCBUSeIwuIPEMWEDUMWUDUcMyqKLQ8au9vJ/Q7QFnTDlp2RC9ezW2Pa028jKxLRyl8VKW8fnMhS+8lw8fSe3C9jCHAAiLJlQVEEqDCy1lA1MBkAZHnyAIiz5AFRA1DFhA1HDkKE2ACagmwgEjyZAGRBKjwchYQNTBZQOQ5soDIM2QBUcOQBUQNR47CBJiAWgIsIJI8WUAkASq8nAVEDUwWEHmOLCDyDFlA1DBkAVHDkaMwASaglgALiCRPFhBJgAovZwFRA5MFRJ4jC4g8QxYQNQxZQNRw5ChMgAmoJcACIsmTBUQSoMLLWUDUwGQBkefIAiLPkAVEDUMWEDUcOQoTYAJqCbCASPJkAZEEqPByFhA1MFlA5DmygMgzZAFRw5AFRA1HjsIEmIBaAiwgkjxZQCQBKrycBUQNTBYQeY4sIPIMWUDUMGQBUcORozABJqCWAAuIJE8WEEmACi9nAVEDkwVEniMLiDxDFhA1DFlA1HDkKEyACaglwAIiyZMFRBKgwstZQNTAZAGR58gCIs+QBUQNQxYQNRw5ChNgAmoJsIBI8mQBkQSo8HIWEDUwWUDkObKAyDNkAVHDkAVEDUeOwgSYgFoCLCCSPFlAJAEqvJwFRA1MFhB5jiwg8gxZQNQwZAFRw5GjMAEmoJYAC4gkTxYQSYAKL2cBUQOTBUSeIwuIPEMWEDUMWUDUcOQoTIAJqCXAAiLJkwVEEqDCy1lA1MBkAZHnyAIiz5AFRA1DFhA1HDkKE2ACagmwgEjyZAGRBKjwchYQNTBZQOQ5soDIM2QBUcOQBUQNR47CBJiAWgIsIJI8WUAkASq8nAVEDUwWEHmOLCDyDFlA1DBkAVHDkaMwASaglgALiCRPFhBJgAovZwFRA5MFRJ4jC4g8QxYQNQxZQNRw5ChMgAmoJcACIsmTBUQSoMLLWUDUwGQBkefIAiLPkAVEDUMWEDUcOQoTYAJqCbCASPJkAZEEqPByFhA1MFlA5DmygMgzZAFRw5AFRA1HjsIEmIBaAiwgkjxZQCQBKrycBUQNTBYQeY4sIPIMWUDUMGQBUcORozABJqCWAAuIJE8WEEmACi9nAVEDkwVEniMLiDxDFhA1DFlA1HDkKEyACaglwAIiyZMFRBKgwstZQNTAZAGR58gCIs+QBUQNQxYQNRw5ChNgAmoJsIBI8mQBkQSo8HIWEDUwWUDkObKAyDNkAVHDkAVEDUeOwgSYgFoCLCCSPFlAJAEqvJwFRA1MFhB5jiwg8gxZQNQwZAFRw5GjMAEmoJYAC4gkTxYQSYAKL2cBUQOTBUSeIwuIPEMWEDUMWUDUcOQoTIAJqCXAAiLJkwVEEqDCy1lA1MBkAZHnyAIiz5AFRA1DFhA1HDkKE2ACagmwgEjyZAGRBKjwchZ1dhKbAAAgAElEQVQQNTBZQOQ5soDIM2QBUcOQBUQNR47CBJiAWgIsIJI8WUAkASq8nAVEDUwWEHmOLCDyDFlA1DBkAVHDkaMwASaglgALiCRPFhBJgAovZwFRA5MFRJ4jC4g8QxYQNQxZQNRw5ChMgAmoJcACIsmTBUQSoMLLWUDUwGQBkefIAiLPkAVEDUMWEDUcOQoTYAJqCbCASPJkAZEEqPByFhA1MFlA5DmygMgzZAFRw5AFRA1HjsIEmIBaAiwgkjxZQCQBKrycBUQNTBYQeY4sIPIMWUDUMGQBUcORozABJqCWAAuIJE8WEEmACi9nAVEDkwVEniMLiDxDFhA1DFlA1HDkKEyACaglwAIiyZMFRBKgwstZQNTAZAGR58gCIs+QBUQNQxYQNRw5ChNgAmoJsIBI8mQBkQSo8HIWEDUwWUDkObKAyDNkAVHDkAVEDUeOwgSYgFoCLCCSPFlAJAEqvJwFRA1MFhB5jiwg8gxZQNQwZAFRw5GjMAEmoJYAC4gkTxYQSYAKL2cBUQOTBUSeIwuIPEMWEDUMWUDUcOQoTIAJqCXAAiLJkwVEEqDCy1lA1MBkAZHnyAIiz5AFRA1DFhA1HDkKE2ACagmwgEjyZAGRBKjwchYQNTBZQOQ5soDIM2QBUcOQBUQNR47CBJiAWgIsIJI8WUAkASq8nAVEDUwWEHmOLCDyDFlA1DBkAVHDkaMwASaglgALiCRPFhBJgAovZwFRA5MFRJ4jC4g8QxYQNQxZQNRw5ChMgAmoJcACIsmTBUQSoMLLWUDUwGQBkefIAiLPkAVEDUMWEDUcOQoTYAJqCbCASPJkAZEEqPByFhA1MFlA5DmygMgzZAFRw5AFRA1HjsIEmIBaAi+tgCQlJeP2vft4/bXcyObgoElNq35ycjISk5IMYrGAaKLNtAosIGpQs4DIc2QBkWfIAqKGIQuIGo4chQkwAbUEXkoB2fvbSQz9egGexMYJWgFDfNCmaW2T5Cypv2l7BGaGrsOudTNTxWEBUfuFlInGAiJD779rWUDkObKAyDNkAVHDkAVEDUeOwgSYgFoCL52AxMYl4JOW/dG3a0t0aPUZ9kScwAD/udi2aioKF8xnQE+r/j/XbqH70Gm4euMO8ufLywKi9vunNBoLiBqcLCDyHFlA5BmygKhhyAKihiNHYQJMQC2Bl05AaDaj91czEbk9FI6O2QUtz45+QkY6tKpnQE+r/rPERNyNeohdByIRtnIzC4ja75/SaCwganCygMhzZAGRZ8gCooYhC4gajhyFCTABtQReOgFZu2kPwtdsxZYVk/Wk+o2ajeJFCmKIbxsDepbW37rrEKYuWM0Covb7pzQaC4ganCwg8hxZQOQZsoCoYcgCooYjR2ECTEAtgZdOQMJW/oSfdx/G+tAgPSnKB3Fz+X979wEeVZW/cfxNb4SEXiyAILAgshb+trUriA1xFcWCWFAUC1JEQQRUEKSLBWm6YAN7RVQQbNhRUVEQEUXpKRDSy/85F2ckEJIh55CZJN+7zz67kHt+c+/nnmHmzTnn3jgNH9BzD71A999bACkoLLK+IuHhYQqTZBbC21ezPpxKW8B80Bq/IhCtrmFEeJhc9Gurg6jkjc37OSwsTIV0RqsrGR4WJnMDEN7SVoyqju9pc85sCCAQugJVLoAEOqLhuySB7r+3ALIxdedCd5stuUa0YqLClZaRq5y8QptSZbbNyN2uHfk7lJufo9yCHOUW5imvMFcxEbGKiohSTHiMYiJjlRid6P1dZdoS46NUUFCkzJz8ynTYIXes9ZNjtTktmy99FlcmJjpCcdHmPZ1nUYWmyTWilJVTsN//XazK0uZ7eJ2kne/p6rQ1qFW5Pr+q07XhXBEwAlUugPjWdHzz7gxFRUV6V7lT94HqcXHHUteAlLV/ZZ6ClZK9Vdty0pSRl6HCosADTlR4lGpEJ6p2bB0lRNUI+XcMU7DcXCKmYNk7MgXL3tBUqJ0YrczsfGXv51/MuDna0KzCFKzQvC4cFQLVXaDKBZDMrBx16HyDBvXprstKuAvW9oxMXX37GF3b/Wx1Pu0YlbW/Gf7Pzy/wpnWZ2/AueGaswsLD/M8DCeXb8JrgsWnHBuUW5lr38xpRNdQwobHioxKsa+2vAgQQN7IEEHtHAoi9IQHEjSEBxI0jVRBAwK1AlQsghmfRx8tkFp77trv7XqnuF5zu/TF92w4df34f7fp3pe3/y5o/1eXqIcXUz+t4vEYPvt77u1AMIGnZqdqUuUHZBe6H3GtG11T9+IYhGUQIIG7+cSCA2DsSQOwNCSBuDAkgbhypggACbgWqZAAxRAUFhdqwOUX16yT7p2KVRrev+/tqhVoASc9J0x/bflPhfpzBHxMRo2ZJLRQdEe22N1pWI4BYAv7dnABi70gAsTckgLgxJIC4caQKAgi4FaiyAcQt096rhVIA2Zy5URt2rFdF3DMmIixCzZKah9RICAHETa8ngNg7EkDsDQkgbgwJIG4cqYIAAm4FCCCWnqESQFKytmhdxh+WZ7NvzSPCwtU8uZViI0PjbiMEkH27fnvbmwBi70gAsTckgLgxJIC4caQKAgi4FSCAWHqGQgDZnrtNv6Wv3o+TrvaOZKZjtUhupYjwCEtJ++YEEHtDU4EAYu9IALE3JIC4MSSAuHGkCgIIuBUggFh6BjuA5BTk6JfUn1SwD7fXtTzlPZonRtdU05qHeA9eC+ZGAHGjTwCxdySA2BsSQNwYEkDcOFIFAQTcChBALD2DHUDWpK3W9rxtlmdh37xxwgGqG1/fvpBFBQKIBd4uTQkg9o4EEHtDAogbQwKIG0eqIICAWwECiKVnMAPIjtwMrU5fZXkGbppHhkeqde22Cg8Ld1OwHFUIIOVAK6EJAcTekQBib0gAcWNIAHHjSBUEEHArQACx9AxmAPk1dZUy8jMsz8Bd82CPghBA3FxLAoi9IwHE3pAA4saQAOLGkSoIIOBWgABi6RmsABJKox8+wmCPghBALDvz380JIPaOBBB7QwKIG0MCiBtHqiCAgFsBAoilZ7ACyPqMv7Q5a6Pl0btv3iKppeKjE9wXDqAiASQApAB2IYAEgFTGLgQQe0MCiBtDAogbR6oggIBbAQKIpWewAsjPKT/K3AEr1LZ6cQ3UqEbjoBwWAcQNOwHE3pEAYm9IAHFjSABx40gVBBBwK0AAsfQMRgDJzs/WytQVlke+f5rHRcbp0Fqt90/xMqoSQNywE0DsHQkg9oYEEDeGBBA3jlRBAAG3AgQQS89gBJD0nDSt3bbG8sh3Nn8v83dtLMhWu5g6Ojy6jnVN8ySQw+r+OyjPBCGAWF8+rwABxN6RAGJvSABxY0gAceNIFQQQcCtAALH0DEYAScnaonUZf1ge+c7mg7Z+ou9yturyxFa6IrGlk5pt6rSTWZBe0RsBxI04AcTekQBib0gAcWNIAHHjSBUEEHArQACx9AxGANm4Y702Zm4o95FnFOZqTf52r/3U9B/0a166zow/yPuv2dpZjoQcmtxacVFx5T6+8jYkgJRXrng7Aoi9IwHE3pAA4saQAOLGkSoIIOBWgABi6RmMAPLHtrVKzUkp95F/l7tVg7Z8stf28xufV+7apmGzpOZKjK5pVaM8jQkg5VHbsw0BxN6RAGJvSABxY0gAceNIFQQQcCtAALH0DEYA+XP7H9qavaXcR76/A0iTms2UFJNc7uMrb0MCSHnlircjgNg7EkDsDQkgbgwJIG4cqYIAAm4FCCCWnsEIIC6mYP369xSsx/+egnXGLlOwbBejMwXLslMFuTkBxP4CEEDsDQkgbgwJIG4cqYIAAm4FCCCWnsEIICxCL/miMQJi2Zn/bk4AsXckgNgbEkDcGBJA3DhSBQEE3AoQQCw9gxFAXN+Gd0NBtg7nNryWPaHqNCeA2F9LAoi9IQHEjSEBxI0jVRBAwK0AAcTSMxgBJK8wTyu2LJfCzFM3QmuLj4xXi1qtgnJQjIC4YSeA2DsSQOwNCSBuDAkgbhypggACbgUIIJaewQgg5pBXpf6krPwsy6N337xBfEM1SGjkvnAAFQkgASAFsAsBJACkMnYhgNgbEkDcGBJA3DhSBQEE3AoQQCw9gxVA1mf8pc1ZGy2P3n3zFkktFR+d4L5wABUJIAEgBbALASQAJAKIPVIAFWonRiszO1/ZeYUB7M0uJQkQQOgXCCAQigIEEMurEqwAkpm7Q7+kr7Q8erfNzdPPzVPQg7URQNzIE0DsHRkBsTc0FQgg9o4EEHtDKiCAgHsBAoilabACiDnsNWmrtT1vm+UZuGveOOEA1Y2v767gPlYigOwj2F52J4DYOxJA7A0JIG4MCSBuHKmCAAJuBQgglp7BDCBmDciqlBUhsRg9OiJarWq1UVgQF8YTQCw789/NCSD2jgQQe0MCiBtDAogbR6oggIBbAQKIpWcwA4g59N+3/aa0nFTLs7BvfnDNpkqOqWVfyKICAcQCb5emBBB7RwKIvSEBxI0hAcSNI1UQQMCtAAHE0jPYASS/MF8rU1fI/G+wtsTommqW1DxYL+9/XQKIm0tAALF3JIDYGxJA3BgSQNw4UgUBBNwKEEAsPYMdQMzh78jL0K9pq1RkeS7laR4TEaMWya0UER5RnuZO2xBA3HASQOwdCSD2hgQQN4YEEDeOVEEAAbcCBBBLz1AIIOYUUrK2aF3GH5Zns2/NI8LC1Ty5lWIjY/et4X7amwDiBpYAYu9IALE3JIC4MSSAuHGkCgIIuBUggFh6hkoAMafx5/Y/tDV7i+UZBdbcPIO9aVJzmelXobIRQNxcCQKIvSMBxN6QAOLGkADixpEqCCDgVoAAYukZSgHEnEp6Tpr+2PabCvfjhCwz7apZUguZO1+F0kYAcXM1CCD2jgQQe0MCiBtDAogbR6oggIBbAQKIpWeoBRBzOll5mVq7fY1yC3Itz27P5mbE4+DEpiGx5mP3oyOAuLncBBB7RwKIvSEBxI0hAcSNI1UQQMCtAAHE0jMUA4g5pcKiQm3N2qItWZuUV5hneZZSfGSC6sc3UM2YJOta+6sAAcSNLAHE3pEAYm9IAHFjSABx40gVBBBwK0AAsfQM1QDiO62ioiKl5qRo846NyinM2eezTYxOVL24hqoRXWOf21Z0AwKIG3ECiL0jAcTekADixpAA4saRKggg4FaAAGLpGeoBZNfTyy/IU1pumrbnpCu/qEAFRfkqKDT/W6DI8EhFmP+ERyo6MlpJUclKjKmp8LBwS6GKa04AcWNNALF3JIDYGxJA3BgSQNw4UgUBBNwKEEAsPStTALE81ZBvTgBxc4kIIPaOBBB7QwKIG0MCiBtHqiCAgFsBAoilJwHEEtBhcwKIG0wCiL0jAcTekADixpAA4saRKggg4FaAAGLpSQCxBHTYnADiBpMAYu9IALE3JIC4MSSAuHGkCgIIuBUggFh6EkAsAR02J4C4wSSA2DsSQOwNCSBuDAkgbhypggACbgUIIJaeBBBLQIfNCSBuMAkg9o4EEHtDAogbQwKIG0eqIICAWwECiKUnAcQS0GFzAogbTAKIvSMBxN6QAOLGkADixpEqCCDgVoAAYulJALEEdNicAOIGkwBi70gAsTckgLgxJIC4caQKAgi4FSCAWHoSQCwBHTYngLjBJIDYOxJA7A0JIG4MCSBuHKmCAAJuBSp1ANmSkq6E+DjFxUYHpFLa/oWFRdq0NVV1aycpMiIioHpmJwJIwFT7fUcCiBtiAoi9IwHE3pAA4saQAOLGkSoIIOBWoFIGkN//3KjegyZo7bqNnsaFZ5+ke/pdpajIkoNDWfsvWfqtBtz7mDKzsr16w/r3VLfzTvH+/8IPv9atQx/aQ/3rd6YrJjqKAOK2P1pVI4BY8fkbE0DsHQkg9oYEEDeGBBA3jlRBAAG3ApUygFw/cJxqJMRp5J29tGHTVnW7YYTuub2Hzut4fIk6pe2flZ2rk7reqpuv6arLLzxDiz/5RrcNnaIFz47VgY3q6b0Pv9Jdo6brhekjitU++ID6CgsLI4C47Y9W1QggVnwEEDd8XhUCiBvM2onRyszOV3ZeoZuC1bAKAaQaXnROGYFKIFDpAkj69h06/rw+eurhITrisEM94pGT52jDphRNGXnbHuRl7W9GP266a6KWvTNd0dFRXvuzrxjkhZHLLzzTCyAjxj+pD1+ZUuLlZApW6PRyAoiba8EIiL0jAcTe0FQggNg7EkDsDamAAALuBSpdAFn92586v+cQLX5xkurVSfZE5rzwjl5d8PEeoxTmZ2XtP+/1xXpy7ny99dQYv+4tQyar6UGN1L93Ny+AmBGRLp1OUExMtI5u30qdTungXydCAHHfKctbkQBSXrni7Qgg9o4EEHtDAogbQwKIG0eqIICAW4FKF0CWfb9KV9w8Up+8/oiSEhM8DRMips5+VYuen7iHTln7z3jmTb39/ufFwotZD1IjPk7DB/TU8p/WaMHiz73X+mvjVs177X1d1vV0DbntSu+18guKrK9IRHiYwsKkgsIiFdmXsz6eylogPFxSkVSIodUljIwIc9KvrQ6ikjc272fzxa+AmUNWVzIifOf7mX8XrRhVHd/T5pzZEEAgdAUqXQDxjWgseWmyd8cqswUyArK3/csaAdn90r301gca+uAsfbtwpjcKsilt58J1my0pIVoxUeFK35GrHOY6l5syMS5K+YVFysrJL3cNGkr1kmK1JT3bZDm2cgrEREV460DMe5qt/ALm38bsnHzl5JPkyqtognDtmjvf09Vpq58cW51Ol3NFoNIJVLoAUtKajvsmztamLakBrwHZdX/fGpBv3p2hqKhI7wJ26j5QPS7u6K0B2X378LPl6j1ovL5aME2xMdEsQg+hLs8ULDcXgylY9o5MwbI3NBVYA2LvyBQse0MqIICAe4FKF0AMwXUDxqpmjQSNvPO6Eu+C1W/4o2rcsI4G9L7EEytt/8ysHHXofIMG9emuy0q4C9YzLy9Uq+YHqU3LpkrfnqGB9071bvc7a+IgrzZrQNx3yvJWJICUV654OwKIvSMBxN6QAOLGkADixpEqCCDgVqBSBpA1v6/3ngOybv1mT+OCs/6j4f17+kcwul5zt5od3EgThvfxfl7W/os+Xiaz8Ny33d33SnW/4HTvjxMen6eZz77l/9nhbZpr7NDe3i16CSBuO6NtNQKIreDO9gQQe0cCiL0hAcSNIQHEjSNVEEDArUClDCA+go2bU73ngSTEBzbXs7T9CwoKtWFziurXSfYHGd/rZOfkavPWNCUmxCs5qUaxK8AIiNsOaVONAGKj909bAoi9IwHE3pAA4saQAOLGkSoIIOBWoFIHELcU5atGACmf2/5oRQBxo0oAsXckgNgbEkDcGBJA3DhSBQEE3AoQQCw9CSCWgA6bE0DcYBJA7B0JIPaGBBA3hgQQN45UQQABtwIEELeeVEMAAQQQQAABBBBAAIFSBAggdA8EEEAAAQQQQAABBBCoMAECSIVR80IIIIAAAggggAACCCBAAAmBPpCbm6fU9AzVr5ussLCwEDiiynkIW1LSlRAfp7jY6Mp5AvvpqIuKilRQWKjIiIgSX6E0N/rmP2SFhUUylhER4ft8pbZnZCq/oEC1khL3uW1VaWD8UtK2eXcZTEpMKPG0SnMy7TdtTVXd2kl77ctVxaq08zD9aPPWdNVOTlRMdNQ+nzLv6X0mowECCOwHAQLIfkANtKT5MvPY7Nf0yBMve03MB8rDo/qqfZvmgZaoFvulpG3XiRfcsse5zpxwh449so1+/3Oj91yYtes2evtcePZJuqffVd4DI9mk19/5RBOnP69Fz08sxlGaG32zeM8xHsPHP+n95YgBV/t/WFbfzMzK1qD7H5d51pDZzHOEptx/q/clujptS7/8QbcOnSLjYbYO/26tATdeosNaNfP+XJbTkqXfasC9j/nbD+vfU93OO6U6EXrnOv3pNzRp+gv+8+50SgcN69dTSTV3Brrzrxqs1Wv/KubSp+cFuqnnBV545vOm2nUZThiBkBUggATx0iz7fpWuuHmk5kwZrHatD9FDM1/SmwuX6r25ExRubl3C5glsTd2mk7reqqlj+uvgA+r7VerXreWNdlw/cJz3PJiRd/bShk1b1e2GEbrn9h46r+Px1VrQBIxeA8Z5D+xsUK/WHgGkNDf65j9dZ8Hiz3X/pDkyYeOic08uFkDK6psznnlTz7++WHOmDPH66o13TvQeknrfHddUq7756dc/avOWNJ10XHtlZ+fq3on/kxnReGz07Z5DaU5Z2bne+//ma7rq8gvP0OJPvtFtQ6dowbNj/Q+ErS6Yz7+xWAc1rq/2bVroj7826dp+Y3Rt93PU85Kz/AHknDOO01mn/p+fxIw2medX8Z6uLr2E80SgcggQQIJ4ncZPnacVv6zVjHEDvaPYtCVNp17UVy9MH6F/HdokiEcWWi/t+5L3xuwHvC9vu27p23fo+PP66KmHh+iIww71fjRy8hxt2JSiKSNv0y9r/tSQ0TP03NR7/NPbBo183PuAPvX4I0LrRB0fjZmqYaZXLfpomWY880axAFKWW1l9c/TDz6hV84PUtfOJ3lF/9d1KTX/6dS8kVrUtMytH2zJ2aOK05xUbE11iACmpbxqHi3oNk/ktda/Lz/VYTJjpN/xRff/+E1r921/Vtm+aUbk7R03TtwtnetOpSnP64NPvdNNdE7XsnemK/nvK0dlXDPLCyOUXnumN8H23YrWG3HalZ5yxI0vX9ntQk+67RY3q165q3bHY+Qx9cJb+XL9ZsyYO8gcQE0bMKPDuW1nv6e433afh/Xt672uzzXnhHZkpcWb0hA0BBBBwLUAAcS26D/XMlIJaSTX8H5ymadtTeurRB27Xyce134dKVXtXXwA57YQjlFSzhloecqC6nPUfbx756t/+1Pk9h2jxi5NUr06y/4Pz1QUfe0Fu+YpfdemN93pf+Hzra7pec7d6XNzJ/+W5autJ8xd9prGPPVcsgJTlVlbfNL/JP7Ldof4v1ua30kMfnKkPX5lSZTnvnThbBQUFJQaQkvqmgejQubfuH3StF0LM9uPK33Tx9cP1yeuP6Pd1G6tt3zThw/xywLxHy3JasPgLPTl3vt56aoy/b90yZLKaHtRI/Xt305Nz39ZHXyz3/yLHF67nPz1GBx/QoMr2x7z8AnXqPkDnnH6c52A2MwUrISFOzZs0VuMGdXTumcf5Dcp6T5vPnl1/kTNu6lylpG7TqLt6VVlDTgwBBIInQAAJnr03dahV84P9Hx6+D+LhA3rqnNOPDeKRhdZLm99oTp7xgsyUK/MbuZfnf+jNoZ87dZh+WPmbN43NfKHzLWyd9/piTZ39qveFmwBScgDxTcfYm1tZfZMAsvM9UlrfNIutDzv16mK/UPAFv/fmjvdGp6pjOPaNfpiR3+OObuutTSjN6c2Fn+rt9z/3hxXjbr5M14iPk/m3sroGkGHjntBbCz/Tm3NGezcwMZtZTxgeEa6iImnRR1976+JenDHCCyFlvacJIKH1ucfRIFDVBQggQbzC5kPULDwffOsV/qNgBKTsC7Lm9/U6t8ddevbRoUqIj/VGQJa8NNm/sNdMHWAE5B/H0kZA9uZWVt8kgJTcT3ftm2bBuRkBGXnndep48tGMgEj6+IvvvS/Cw/pdpW7nn+pHLM2JEZA9+9qjT76iR558Rc9NHaZ2rXcu5N99y8vLV6fLBurK/3bU1Zd29kJbaZ83BJCyP3vYAwEE3AkQQNxZ7nMlMyf359W/a9rYAV5b1oAERrgjM1v/d3Zvb95z6xYH77EG5L6Js7VpS6q3BoQRkJJHQEpaA7KrW1l9kwBScl/dtW8ec8S/vLUNZr3RdZed4zXYdQ3I9z+tqVYjIL5zN1PSfGuHfIqlOfnWgHzz7gzvFr5m69R9oHpc3NFbA1KdRkDMwv3xU+fKjPL+b/KdatOyaan/aF5ywwidfPy/ddNVXVTWe5oAEtjnD3shgIAbAQKIG8dyVfnnriRD1O5fh3jTjN5a+Cl3wdpN09yCMzsnR8ce1da7te6k6S9607Demzfem3Z13YCxqlkjwftN8+53wfIFELNA1ayrMV/6+g1/xJuXv/uXoHJdxBBuZKa25OcXeNNXzG14FzwzVmHhYf5nKJTmVlbfNAHEzA+/+/YeqhEf69VftnxVlVwDUlBQqMLCQt0/eY7naRbqRkREeHeqK6tvmtumvvDGEu8uWPFxMd7ton13wapOfdOMSA5+YLruvPkynfafI/3vGrMGLj4u1ru97N6czE0AOnS+QYP6dNdlJdwFywQQMxow7p4b1aLZAd6i9CmzXlJVXANy95iZ3r995mYPhzT554Yc5i53f23Y4t3u2QTeOrWStOD9z2VuuDH7ocE66vCWu9wFq+TPGxNAzOL1ay7trG0Zmbpr1DT9u20L1oCE8L/xHBoClVmAABLEq2e+ID78xMuaOvs17yjMB/G0sf39d3MK4qGF1Eu/+8GXGvzADP8zAMw0grFDb9SxR7XxjtNMezFf7MztZs12wVn/8b4kmt+W+r7kmTtkmS/VTQ5s4K0j6XdDtyofQMwi3y5XDyl2Lc2tiUcPvr5Mt7L6pgkgm7emacWqtV4t47t23YYqGUDmvfa+Rkz4XzFHcxtd82WtrL5pRkTM1JcPPv3Wa2+ee2FG5syc/erUN80C/rmvLtrj3xXfLwJKczKNzBdrs/Dct93d90p1v+B0748mgMx+YYHMlCNzq+Qj27XU18tXVskAYkZ+fP/O7YppFuibZ9j27DtaGzen+n9kQpu54YbZynpPmwBipg1+9+Nq77PowEZ1vREW84sdNgQQQMC1AAHEtWg56mXn5Hq/TW5Yvw7P/9iLn7ml7NaUbd5P9/bEePPBa54HYtaF+LZdp2Bt256pmonxPG1+N+OS3Hy77K1v+qZgmS83ZoTA/Ha/um6B9E0z5c18Qd71AYT0zT17TElOvr1MP9uwOTGxw1AAAA1ASURBVEX16yT7p2L5Aoi5C9bjY/orIzNrr09Zrw7904QME8LMgx0bNahT4hPj9/ae9k3BatH0AMXGxvAg1+rQYThHBIIoQAAJIj4vvf8FSloDsv9fteq/wu5rQKr+Gbs/Q/qmG9Pd14C4qVr9quy+BqT6CXDGCCBQkQIEkIrU5rUqXMD8NnDJ0m+q/HSrioY1dzMyv833PbSsol+/KrwefdPNVVz56zpv2tGJx7RzU7CaVjHrdE7ocFixUbpqSsFpI4BABQgQQCoAmZdAAAEEEEAAAQQQQACBnQIEEHoCAggggAACCCCAAAIIVJgAAaTCqHkhBBBAAAEEEEAAAQQQIIDQBxBAAAEEEEAAAQQQQKDCBAggFUbNCyGAAAIIIIAAAggggAABhD6AAAIIIIAAAggggAACFSZAAKkwal4IAQQQQAABBBBAAAEECCD0AQQQQAABBBBAAAEEEKgwAQJIhVHzQggggAACCCCAAAIIIEAAoQ8ggAACCCCAAAIIIIBAhQkQQCqMmhdCAAEEEEAAAQQQQAABAgh9AAEEEEAAAQQQQAABBCpMgABSYdS8EAIIIIAAAggggAACCBBA6AMIIFDhAj+v/kPLV/yqtG0ZqlOrppoc2FCHtzlEkRERFX4sgbzgkqXfauqc1zR78l2KiorUsu9Xad1fm3Vex+MDaa7MrBwtWPy5DmvdTIc2OzCgNuyEAAIIIIBAVRUggFTVK8t5IRCiAqMeekpPv/Sed3QHNqqndes3+///gmfHhuRRvzz/Q909Zqa+WjBNsTHRGj7uST3/xmL9sPjJgI53/catOuOS/rqjT3dddXEn5eTm6ciOvTTqrl7q0umEgGqwEwIIIIAAAlVFgABSVa4k54FAJRAwIwk33TVRvXucr+suO1dxsdHKzc3T0q9+1P/mva1ZEweF5FnsHkDMiEZefr6SEhMCOt7CwiJt275DcXExiomOUnZOro7qdL3uH3StunY+MaAa7IQAAggggEBVESCAVJUryXkgUAkEJk1/QdOffkNLXpqsurWT9nrEBQWFeuqld/XiG0u0eu1fannIgerdo4s6ndLBa/Ptj6s19tHnNGLg1Xpr4afen0874Uhd1vV0rV23UeMee06ffr1CsTFROvGYwzXgxktVOzlRWdm56jVgrM498zh9+e3PMoGodYuDdeVFHdXx5KP9x7NqzTqNeeRZLf3yB69d4wZ19f3Pa/wjIGb0w/xswvA+Xpu5ry7Sx19+r6MPb6UX/j7m0044QsP69/TO0wSO6/qP1Y1XddEJHQ5Tn8GTtPiTb7wRoHp1kr0afa+7SJNmvKA7brpUh7dp7j+W+Ys+0zMvL9QjD/RVzRrxleAqc4gIIIAAAgiULkAAoYcggECFCXy9fKWuvGWUOp92jHpdfq6aN21c4rqPCY/P07OvLFL3C07zvoy//f7n8r6IPzpU7ds014effafegyZ4x928SWP9q2UTtW/TQmeceJROvaivjmzXUt3OO0Up6ds14+k31LZVU00d01/bMzJ17Lk3ee3OOf1YHdHuUC1Z+o0+/Gy5lr7xqPcFf/PWNJ3y376Kj4vV1Zd2VsN6tfTy/I9kjt03BeuhmS/qlbc/0qLnJ3q1zPHOfPYtNTmwgTeiYULT6+98ouOObqsZ4wZ6a0A6dL5Bowdf760bMQHGTOPyHYOp0aXTf9Sp+wAdd1RbPTi0t1e3qKhIXXoO8epOGXlbhV0nXggBBBBAAIH9KUAA2Z+61EYAgWICZirS+Klz9eS8t/1/f8Rhh+r8jsd7X9zNAu+tqdt0Utdb1e+Gbrq2+9nefvkFBTru3D767zkn6c6bL/MHkAcG99L5Hf9ZQ2FGRea9vlhLXprkBQizPffqIt03cbY+ePkhRUdFegFkyG1XeqMlZktJ264TL7jFG80wIywTpz2vGc+8qXefG6fGDet6++w+BaukAGL2MYHEnIPZpsx6SVNnv6b35o5XUs0axQLI3qZgmf1NO98I0VffrVSPW0dp5vg7dOxRbehNCCCAAAIIVAkBAkiVuIycBAKVS2BLSro3/enn1b/r069+9EYMDmvVTHMfH+ZNjbrqtge86UmJu0w5WrFqrU45/t96ZFRffwB5b94ENapf23/yPfuO1hff/KR/HdrE/3dm1MMsdH9+2nAd1Li+F0DGDr1RZ59+jH+ftqf01MCbLlXPbmfp+oHjtGFTil773yj/zwMJIAsWf6FdF9H7RmnmTBms1i2aBBRANm1J80Zw+va6yBshGnDvY/px5W96c85ohYWFVa6LzNEigAACCCCwFwECCF0DAQSCKmCmGU2e8aK3NuTlWfdr4+ZU9R40XoNvvUIHH1C/2LElJyWqXetmew0gl9wwQuER4brpqi57nFP7ti1kvsKXFUBMjaSaCZo2doBVADFrPMxaDzNtzNx6d9cpWKUtQjeh47Ovf9TcqcN05qUDNKzfVep2/qlBvUa8OAIIIIAAAi4FCCAuNamFAAKlCpjRiTYtmyohfuf0KN9mFlmPnDzH+7JeKylRnS+/o8Qv3iasmJEA3+jC7iMgQ0bP0NKvftCbc8Z4d9jybb52vjUgpY2A9Bv+qPfMju8WzlJERLhXojwjIKMeelpPv/SuPnp1imKio4sFEDOlrP3p1+qe23voki6nFbPwTbsyC+/Xrd+ixS9O2sOLboYAAggggEBlFiCAVOarx7EjUMkE7hw1TR9/vlw9L+msti2berel/eaHX/TwrJd1YKO6mvf4cG8Nxa1DH9LCD7/WiAFX66jDW3rrQj749FuFh4d705P2FkDMNK2Leg3TSce29271WyMhTj/98rueeG6+txjcBIqyRkDeWfKlbh/2sM486Whdcv6pWvvnRj3yxMveWpHSFqGbRfP3D7rGu2OWqTHrubd00bkne+ew+yJ0c9nMKE/GjmwNue0KpW/foaPbt/IW5PsWnptpaWZKmJkaxoYAAggggEBVEiCAVKWrybkgEOICZt2Hed7HZ8tWFDtSczeo/r0vUYN6tby/N1/IzS175732vn8/cztcMy3L3EHLF0AWPj9BDev9swbE7Gx+dv+kOf4HHJq/O/GYdpo44hYVFBTomHNuLHENiO8hgeYWwGMeecb/sETzuuZuWSYQff3OdO85HmahuG/RuanvuwuW2dcEFbOZBwyaxe5mtMfc/vfos6733wXL/NzcxveBKU9761/M9sX8qf6F877F6POfHqODD2gQ4leVw0MAAQQQQGDfBAgg++bF3ggg4EAgL79AKanbvIf5NahXW1GRESVWNVOVNm9JU2xstDc1a182E2IydmSpXu0kRUdH7UtTfwhK37bDWwwfHl76AnATQMwi9LeeGuON1pjF87tOASvtxc3C893373rN3WpYv44eG337Ph83DRBAAAEEEAh1AQJIqF8hjg8BBEJewBdAdr0LVnkP+vNlP+nq20d7i+DNQwvZEEAAAQQQqGoCBJCqdkU5HwQQqHABs4h+6ZffO3lYoFkP8/3Pv+rRB/qVOfJS4SfKCyKAAAIIIOBAgADiAJESCCCAAAIIIIAAAgggEJgAASQwJ/ZCAAEEEEAAAQQQQAABBwIEEAeIlEAAAQQQQAABBBBAAIHABAgggTmxFwIIIIAAAggggAACCDgQIIA4QKQEAggggAACCCCAAAIIBCZAAAnMib0QQAABBBBAAAEEEEDAgQABxAEiJRBAAAEEEEAAAQQQQCAwAQJIYE7shQACCCCAAAIIIIAAAg4ECCAOECmBAAIIIIAAAggggAACgQkQQAJzYi8EEEAAAQQQQAABBBBwIEAAcYBICQQQQAABBBBAAAEEEAhMgAASmBN7IYAAAggggAACCCCAgAMBAogDREoggAACCCCAAAIIIIBAYAIEkMCc2AsBBBBAAAEEEEAAAQQcCBBAHCBSAgEEEEAAAQQQQAABBAITIIAE5sReCCCAAAIIIIAAAggg4ECAAOIAkRIIIIAAAggggAACCCAQmAABJDAn9kIAAQQQQAABBBBAAAEHAgQQB4iUQAABBBBAAAEEEEAAgcAECCCBObEXAggggAACCCCAAAIIOBAggDhApAQCCCCAAAIIIIAAAggEJkAACcyJvRBAAAEEEEAAAQQQQMCBAAHEASIlEEAAAQQQQAABBBBAIDABAkhgTuyFAAIIIIAAAggggAACDgQIIA4QKYEAAggggAACCCCAAAKBCRBAAnNiLwQQQAABBBBAAAEEEHAgQABxgEgJBBBAAAEEEEAAAQQQCEyAABKYE3shgAACCCCAAAIIIICAAwECiANESiCAAAIIIIAAAggggEBgAgSQwJzYCwEEEEAAAQQQQAABBBwIEEAcIFICAQQQQAABBBBAAAEEAhMggATmxF4IIIAAAggggAACCCDgQIAA4gCREggggAACCCCAAAIIIBCYAAEkMCf2QgABBBBAAAEEEEAAAQcCBBAHiJRAAAEEEEAAAQQQQACBwAQIIIE5sRcCCCCAAAIIIIAAAgg4ECCAOECkBAIIIIAAAggggAACCAQm8P+CfWbRH12VHQAAAABJRU5ErkJggg=="
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# For this plot `Serendipity` and `MAP_debiased` metrics were chosen in interactive MetricsApp widget\n",
    "# Metadata colouring was enabled\n",
    "\n",
    "fig = deepcopy(app.fig)\n",
    "fig.update_layout(title=\"Debiased MAP winning model in <Serendipity vs MAP_debiased> axes\")\n",
    "fig.add_scatter(**get_leader_scatter_kwargs(\"MAP\", \"Serendipity\", \"MAP_debiased\"))\n",
    "fig.add_scatter(**get_leader_scatter_kwargs(\"Serendipity\", \"Serendipity\", \"MAP_debiased\"))\n",
    "fig.add_scatter(**get_leader_scatter_kwargs(\"MAP_debiased\", \"Serendipity\", \"MAP_debiased\"))\n",
    "fig.show(\"png\")"
   ]
  },
  {
   "cell_type": "markdown",
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    "Note that required level of downsampling is quite different between different services. To change the level of downsampling researcher needs to specify desired IQR coefficient in `debias_config` during metric's initialization."
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  }
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