notebooks/playground.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Collecting matching\n",
      "  Using cached matching-1.4.3-py3-none-any.whl (30 kB)\n",
      "Requirement already satisfied: numpy>=1.19.2 in /home/noverney/miniconda3/lib/python3.10/site-packages (from matching) (1.23.5)\n",
      "Installing collected packages: matching\n",
      "Successfully installed matching-1.4.3\n"
     ]
    }
   ],
   "source": [
    "!pip install matching"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "suitor_preferences = {\n",
    "     \"A\": [\"D\", \"E\", \"F\"], \"B\": [\"D\", \"F\", \"E\"], \"C\": [\"F\", \"D\", \"E\"]\n",
    "}\n",
    "reviewer_preferences = {\n",
    "     \"D\": [\"B\", \"C\", \"A\"], \"E\": [\"A\", \"C\", \"B\"], \"F\": [\"C\", \"B\", \"A\"]\n",
    "}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{A: E, B: D, C: F}"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from matching.games import StableMarriage\n",
    "game = StableMarriage.create_from_dictionaries(\n",
    "     suitor_preferences, reviewer_preferences\n",
    ")\n",
    "game.solve()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "# user just have preferences \n",
    "user1_pref = {\"AI\": 1, \"Fitness\" : 4, \"Travel\" : 5}\n",
    "user2_pref = {\"AI\": 3, \"Fitness\" : 1, \"Travel\" : 1}\n",
    "user3_pref = {\"AI\": 3, \"Fitness\" : 1, \"Travel\" : 1}\n",
    "user4_pref = {\"AI\": 3, \"Fitness\" : 1, \"Travel\" : 1}\n",
    "\n",
    "# matrix "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[4, 5, 1],\n",
       "       [1, 1, 3],\n",
       "       [1, 1, 3],\n",
       "       [1, 1, 3]])"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import numpy as np \n",
    "\n",
    "def convert_preferences_to_matrix(users_preferences):\n",
    "    # Get the list of all topics from the user preferences\n",
    "    all_topics = set().union(*users_preferences)\n",
    "\n",
    "    # Create a NumPy matrix from the user preferences\n",
    "    pref_matrix = np.array([[user_pref.get(topic, 0) for topic in all_topics] for user_pref in users_preferences])\n",
    "\n",
    "    return pref_matrix\n",
    "\n",
    "convert_preferences_to_matrix([user1_pref, user2_pref, user3_pref, user4_pref])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Requirement already satisfied: scikit-learn in /home/noverney/miniconda3/lib/python3.10/site-packages (1.2.2)\n",
      "Requirement already satisfied: threadpoolctl>=2.0.0 in /home/noverney/miniconda3/lib/python3.10/site-packages (from scikit-learn) (3.1.0)\n",
      "Requirement already satisfied: scipy>=1.3.2 in /home/noverney/miniconda3/lib/python3.10/site-packages (from scikit-learn) (1.10.1)\n",
      "Requirement already satisfied: joblib>=1.1.1 in /home/noverney/miniconda3/lib/python3.10/site-packages (from scikit-learn) (1.2.0)\n",
      "Requirement already satisfied: numpy>=1.17.3 in /home/noverney/miniconda3/lib/python3.10/site-packages (from scikit-learn) (1.23.5)\n",
      "Collecting faker\n",
      "  Downloading Faker-19.12.0-py3-none-any.whl (1.7 MB)\n",
      "\u001B[2K     \u001B[90m━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━\u001B[0m \u001B[32m1.7/1.7 MB\u001B[0m \u001B[31m3.0 MB/s\u001B[0m eta \u001B[36m0:00:00\u001B[0m00:01\u001B[0m00:01\u001B[0m\n",
      "\u001B[?25hRequirement already satisfied: python-dateutil>=2.4 in /home/noverney/miniconda3/lib/python3.10/site-packages (from faker) (2.8.2)\n",
      "Requirement already satisfied: six>=1.5 in /home/noverney/miniconda3/lib/python3.10/site-packages (from python-dateutil>=2.4->faker) (1.16.0)\n",
      "Installing collected packages: faker\n",
      "Successfully installed faker-19.12.0\n"
     ]
    }
   ],
   "source": [
    "!pip install scikit-learn\n",
    "!pip install faker"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "import os \n",
    "import sys\n",
    "sys.path.append(os.path.join(os.getcwd(), '..', \"functions\" ))\n",
    "\n",
    "from functions.matching_users import create_matches_from_users\n",
    "from functions.data import *\n",
    "#from functions.data import create_fake_users"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[('1', '2'), ('2', '1')]\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/noverney/miniconda3/lib/python3.10/site-packages/matching/algorithms/stable_roommates.py:141: NoStableMatchingWarning: The following players have been rejected by all others, emptying their preference list: [3]\n",
      "  warnings.warn(\n"
     ]
    }
   ],
   "source": [
    "# we need to import the matching algorithm but now I have some users first\n",
    "users = [User(\"1\", {\"preferences\": {\n",
    "                            \"guns\": 5,\n",
    "                            \"dogs\": 5\n",
    "                        },\n",
    "                        \"days\": [\n",
    "                            \"mon\",\n",
    "                            \"fri\"\n",
    "                        ],\n",
    "                        \"name\": \"John Wick\",\n",
    "                        \"id\": \"1\"\n",
    "                        }), \n",
    "            User(\"2\", {\"preferences\": {\n",
    "                            \"guns\": 5,\n",
    "                            \"dogs\": 3\n",
    "                        },\n",
    "                        \"days\": [\n",
    "                            \"mon\",\n",
    "                            \"fri\"\n",
    "                        ],\n",
    "                        \"name\": \"John Shirt\",\n",
    "                        \"id\": \"2\"\n",
    "                        }), \n",
    "            User(\"3\", {\"preferences\": {\n",
    "                            \n",
    "                        },\n",
    "                        \"days\": [\n",
    "                            \"mon\",\n",
    "                            \"fri\"\n",
    "                        ],\n",
    "                        \"name\": \"John Pants\",\n",
    "                        \"id\": \"3\"\n",
    "                        }), ]\n",
    "print([(match1.id,match2.id)  for match1,match2 in create_matches_from_users(users)])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [],
   "source": [
    "from time import time\n",
    "times = []\n",
    "\n",
    "test_vals = [y-2 for y in [x for x in range(2,1100)][::100]]\n",
    "test_vals[0] = 2\n",
    "\n",
    "for i in test_vals:\n",
    "    start = time()\n",
    "    fake_users = create_fake_users(i)\n",
    "    matches = [(match1.id,match2.id)  for match1,match2 in create_matches_from_users(fake_users)]\n",
    "    times.append(time()-start)\n",
    "    #print(len(matches))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[2, 100, 200, 300, 400, 500, 600, 700, 800, 900, 1000]\n"
     ]
    }
   ],
   "source": [
    "print(test_vals)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "import matplotlib.pyplot as plt\n",
    "# Create a line chart\n",
    "plt.plot([x for x in test_vals], times, marker='o', linestyle='-')\n",
    "\n",
    "# Add labels and title\n",
    "plt.xlabel('Number of People')\n",
    "plt.ylabel('Time to Run (seconds)')\n",
    "plt.title('Time vs. Number of People')\n",
    "\n",
    "# Display the chart\n",
    "#plt.grid()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Requirement already satisfied: networkx in /home/noverney/miniconda3/lib/python3.10/site-packages (3.2.1)\n"
     ]
    }
   ],
   "source": [
    "# now we can think of testing for larger scenerios\n",
    "# we can do a graph of the plots \n",
    "from functions.matching_users import convert_preferences_to_matrix\n",
    "from functions.matching_users import get_preference_lists\n",
    "from sklearn.metrics.pairwise import cosine_similarity\n",
    "!pip install networkx\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "import networkx as nx\n",
    "\n",
    "def plot_graph(num_users):\n",
    "    users = create_fake_users(num_users)\n",
    "    names = [x.id for x in users]\n",
    "    pref_matrix = convert_preferences_to_matrix([x.preferences for x in users])\n",
    "\n",
    "    user_preferences = cosine_similarity(pref_matrix)\n",
    "    # so we essentailly have name -> name weight\n",
    "    print(user_preferences)\n",
    "\n",
    "    # preference_order = get_preference_lists(names, pref_matrix)\n",
    "    #print(preference_order)\n",
    "    G = nx.Graph()\n",
    "\n",
    "    for x in range(len(user_preferences)):\n",
    "        for y in range(len(user_preferences[0])):\n",
    "            if user_preferences[x][y] >= 0.5 and x != y:\n",
    "                G.add_edge(x,y, weight=user_preferences[x][y])\n",
    "    nx.draw(G, with_labels=True, font_weight='bold')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 68,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
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      "  0.18786729 0.21938173 0.67943861 0.44781108 0.47769732 0.\n",
      "  0.         0.36380344 0.2503867  0.72315664 0.         0.45186892\n",
      "  0.26044681 0.41251432 0.48809353 0.         0.30869745 0.10090092\n",
      "  0.26792657]\n",
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      "  0.36018014 0.56079971 0.56561272 0.11447276 0.70214689 0.32879797\n",
      "  0.         0.58123819 0.26669037 0.51349617 0.         0.04559608\n",
      "  0.34328935 0.17574991 0.10397505 0.         0.26303838 0.48361941\n",
      "  0.4280585 ]\n",
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      "  0.372678   0.52223297 0.6384424  0.28426762 0.         0.\n",
      "  0.40824829 0.57735027 0.52981294 0.         0.40824829 0.33968311\n",
      "  0.73623505 0.21821789 0.         0.81649658 0.         0.\n",
      "  0.1594482 ]\n",
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      "  0.         0.         0.41702883 0.         0.74278135 0.\n",
      "  0.         0.         0.         0.         0.         0.\n",
      "  0.1898316  0.53452248 0.31622777 0.         0.         0.98058068\n",
      "  0.65094455]\n",
      " [0.59016711 0.22629429 0.28097574 0.6882472  1.         0.15789474\n",
      "  0.         0.         0.66971082 0.19968077 0.59642005 0.\n",
      "  0.         0.         0.11164844 0.17914359 0.         0.25451391\n",
      "  0.3919532  0.55182541 0.43528575 0.         0.13764944 0.67488191\n",
      "  0.71681723]\n",
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      "  0.6882472  0.         0.22329688 0.         0.6882472  0.57265629\n",
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      "  0.50254607 0.         0.         0.         0.         0.07161149\n",
      "  0.11884567]\n",
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      "  0.19034675 0.55569278 1.         0.27223275 0.63888255 0.\n",
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      "  0.20341905 0.23754227 0.63888255 0.32325409 1.         0.\n",
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      "  0.18257419 0.63960215 0.         0.         0.         1.\n",
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      "  0.65094455]\n",
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      "  0.91287093 0.         0.         0.         0.         0.\n",
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      "  0.25819889 0.75377836 0.73720978 0.24618298 0.3939193  0.\n",
      "  0.         1.         0.45883147 0.4417261  0.         0.\n",
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      "  0.66208716 0.56362148 0.46169026 0.64888568 0.68132997 0.\n",
      "  0.2111943 ]\n",
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      "  0.91287093 0.         0.         0.         0.         0.\n",
      "  1.         0.         0.         0.         1.         0.69337525\n",
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     "data": {
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QF6pqat907WaWUH7jUsUSWM8/Lx/2TntxE599lwNSCTgCFej3+Q2qtZvmuY5kUsScWo20p9cBZA9z1+i/ADwVjTzncgBsc9NExOtQhIaG4uXLl3j58iXCwsIgFmf/8gkEAtStW1eeYH6ZcBoZGX0Xn9IZhqn6iAjPnj3LlUB++PABHA4HNjY28uTR2dkZhoaGFR1uhXv69CmsrKzg4+ODnj175jl+7do1tG3bFi9evED9+vUrIML/SKVSHDlyBIsWLUKMzUCo1m6KzOjwXJVQcnydUEpT4vF+w9AC2xYa1YPxsBVoXc/wm63dzLqMvnHqIj5Mq6nhbVwaUp/7I8ZneXYdMHCg7TQIHJ4AGe+eyM8XGdUHhy/A5+OLkR4WCADgaelDx2kwsj6/RU6pc65IHcIatbMfp8ch9Nlb9OvXD/r6+vK2pFIp3r9/L08wc75OnDiBN2/eQCbLHo5XV1fPk2TmfM+20GIYpiJJJBI8fPhQnjz6+/sjJiYGPB4PzZs3x+DBg+Hi4oLWrVtDVzfv6M337ujRo9DU1ISbm1u+x3PqZkZHR1d4Qsnj8TBo0CDYtu2KTuv+P7LH40NkYg2RcQNI0xKR+uhiIS1woFLHFuoNXcDT0EXGm2D5dLHMT6FICrkKP05HhEUnf5O1m1lC+R1oa1kDewPfIj3s7v+TSQAgJFzdnedc43E7wdcxkCeTACBN+ozoI/NynScysYah51JwQdBOeY/Jk3/Hzz//DDc3NwwePBju7u7Q0NCAmZkZzMzM8sydyczMxOvXr/Hy5ctcvZr+/v74+PGj/Dw9Pb18ezUtLCygrq6uvB/SN4gV3WWYkhOLxbh37548gQwICEBycjJEIhEcHBzw008/wcXFBQ4ODtDQyDtiw+Tm5eWFnj17Fji//suEsrI4eOe9vPSPsLopDD2XAgCSg88UmFByBCIYDl0OkXFD+XOq5rbIiv+E9NDbAADxp1BoN3XDvtsR32TtZvbX5TvgaW+Kf26Fl0nbMnBwZPFEaC8ZhSNHjuDAgQMYMmQI1NTU4O7uDk9PT7i5uUEgEOS6TigUokGDBmjQoEGeNlNSUhAWFiZPMnMSzpMnTyI+Pl5+nrGxcb69mubm5t9MqY2SYkV3GaZkUlNT85TwycjIgKamJlq3bo1ff/0Vzs7OaNGiBUQiUUWHW6U8f/4cjx8/xqJFiwo8p1q1auDxeJUqobz6IrpE20QCAFekliuZzCGoVhPpOecIVCCVEa6+jMZ8sISSqYLqGWjC2aI6bvacBukXcz4KYzb7VJHn8LgctKqj9/+ue01MmDABEyZMwJs3b3Dw4EHs378fBw8ehJ6eHvr37w9PT084OjqCyy142y0A0NDQQNOmTdG0adM8x2JjY/P0at6+fRt79+5FWlp2vU0ejwdzc/N8h9FNTEyKvH9VVJyiuwTgbVwa9ga+xT+3wr+7orsMAwDx8fEICAiQJ5BBQUGQSCTQ09ODs7MzFi9eDBcXFzRp0oQtJFSQl5cXNDU10alTpwLP4XK50NfXrzQJZVG1m0uCpBKkhd2Rf6/y//rN32rtZrYo5zvxLi4NHdZch7iAMkKlIeJzC12xRkR49OiRPLF8//49zMzMMHjwYAwePBjW1tZKi4WI8PHjx1xzNXOSzlevXkEiyd6DXEVFBRYWFnl6NevXrw99ff0quTjoy6K7JflUzeNywOdyvpuiu0zpVPWpE5GRkfISPn5+fnj06BGICDVr1oSrq6t8AU3Dhg2/yQ+bFalx48awsbHB/v37Cz2vSZMmcHZ2xoYNG8opsoI9eheHnptu5XssOfgM4s5vApB3Uc7XiGSIPb0WqY+vAADULFtB32OO/PjpSU7fXO1mllB+Rw7djcDs4yFKa29Zb5ti19SSyWTw8/PDgQMH4OXlhfj4eDRu3BiDBw/GoEGDYGpadgmNRCJBeHh4rl7NnIQzIiICOb8C2traBS4O0tLSKrP4FKFI0d0v/eJW/5svussUX1WeOvH27dtcK7Bfvsz+/ahbt26uEj7m5uZV8gNkVfHixQs0aNAA3t7e6NWrV6HnduzYEbq6ujhy5IhC95TJZEhJSUFiYiISEhKQmJhY4OOCjmdpGcPoh9X5tl/chJKkEsScWoW0Z34AsnehqzFgAbiC/+aRev/UCs1Mv61FXCyh/M4omoDkFJ+d3rE+JrUrXQIiFotx/vx57N+/H76+vsjIyICzszM8PT3Rt29f6OnplTq+kkpPT8fj56G4/eQVXodH4MO7t/jw/AHCnj/JNQRjYGCQb69m3bp1K6yYe0V+QGC+TVVtv2IiwosXL+S9jzdu3EBERAQAwNraOlcJn5o1a5Z7fN+zRYsWYdmyZYiOjoaqasFb+gKAp6cn3r9/j3PnzhWZCBb2ODExEQWlNHw+Hzo6OtDW1oa2tnaBjzNUqmNrRP7VRYqTUJIkE5+9lyD91V0AgIpZE+j3+R1cYe6/E6yHkvkmKDJEygUh8vR6zOjdGn/88YfCsSQnJ8Pb2xsHDhzAxYsXwePx0LlzZwwePBg9e/aEmlrZ/JEqTg9MK3NttKyWifTI13mG0ZOSkrLP5XDyFHPPSTjLsph7UVMYsuI/ItH/IDLePoQ0LQk8NS2o1mkObefB4GtWz/eaoqYwMN+2qjB1QiqVIiQkJFcP5OfPn8HlcmFraytPIJ2cnMr1gymTXRz8y8SuX79+qFmzJkaOHFlkMvjhwwekp6cX2DaHw4GWllaRyWB+j3P+q6qqWqwe6a9rN3+pqIRSlpmOz8cWIuPtIwCAaj0H6LvPAoefe1EqB8Dj+Z2q1NSR4mAJ5XdKkZ6Ifzauwrx583Dy5El069ZNaTFFRUXhyJEj2L9/PwIDA6Gurg4PDw94enqiQ4cOSknOlNEDQ0SIjo7OsziooGLuXw+jK6OY+9Cdgbj5Ojbf+DOjXiPywOzsbTW/fk0a1WA4ZAX4Ogb5vt5WdfS+2aK7TMEq69SJzMxMBAUFyXsg/f39kZiYCKFQCHt7e3kC6ejoCE3NyjX0XpXIZDIkJyeXqlcw53HOosj8qKmpFZr8PXz4EP7+/ti6dWu+52hqapbr/FbXFVfx9v8Lc2RZGUh/dQ8AkBH+QL5znMjUBpq22X//REb1wVXTRtTBOcj8+AJA9s5y1TqMAb7YppinrgNBNWOY6anh+i9ty+31lBeWUH7n5D11L6MREZtPT52eGtrWr4EhDqbyQqwymQy9evWCn58f7t69CwuL/PcAV8SrV69w4MAB7N+/Hy9evIC+vj4GDBiAwYMHw8HBoVTJWHn0wORXzD0n6SysmPuXj4sq5h4alYyOa28UeDxy3yyI32cXq1dv3BHqDZyQ9vKW/I1QtW4L1Og3r8DrL011+SaL7jL5q0xTJ9LS0hAYGCjvfbx16xbS09Ohrq6OVq1ayRPIli1bVthUk8qGiJCenq5QMpiUlFTgULFAIChxr+CxY8ewe/duvHjxAoaGhnnKxn1t586dGDVqFDIzM4s8tzzM932CvYFvIZURJAlR+LBlZKHn63WdAhVTmyLPU7duD4Oe0zDU3uybrEPJEkpGriSrORMTE9GiRQuoqKjg1q1bZVZknIgQHByMAwcO4ODBg/j48SPMzc0xePBgeHp6omHDvHW/8lMZemByirnntzjow4cP8vOKKub+5Zvd12SZ6Xi3uj8AAnh8mE7zAocnAMmkeLd2ICgzHQAHxuN3ga+ln+d6Hpfzzb7ZMXm9i0tD28Wn8DnAq8i9ilMeXULsmbWFticysYbZD8uLPXUiMTERAQEB8vmPd+/eRVZWFnR1deHs7CxPIJs2bVopEo2ykDNUXNRikcIe51Sx+FrOUPHXw78leayiolLiD/DNmjWDpaUlDh06VKzzT506hR49euDjx48wMjIq0b3Kwpcf2pWdUFbvPvWb/dD+bQ3gMwpRF/GLPUlYW1sbx48fh4ODA0aPHo39+/eXyYpJDocDW1tb2NraYtmyZbh+/ToOHDiADRs24K+//kLTpk3h6emJQYMGwdjYON82Dt2NUEoyCQArL7yEvoaoVD0wyirmrtJvKaQq+a8OlInTgP/3M3O4fHB4gv8/5mUnlkgHQBB/eJ5vQvktF91l8prjHYKMhCgk3T6qlPY4PD4kMsIc75B8p058/vxZnjzeuHEDDx8+hEwmg6GhIVxcXOTbGFpZWVWJEj4ymQxJSUmlXkSSkJBQ6NxBdXX1PImevr4+6tWrV6xkUENDo9x/jmFhYXjw4AF+++23Yl/z5W45lSGhlNdufh0L6BgUqy4zUHT95ty1m789LKFkSs3a2hq7du3CgAED0LJlS0yZMqVM78fj8dCuXTu0a9cOGzZswNmzZ7F//3789ttvmDlzJlxdXeHp6Yk+ffrI99R9F5eGWdt8kfD4OsTvHkOSGA1pWlL2rgY1LaHl0AcqJrnrYWbFf0SC335khD+ETJwCvmZ1qFm2hnarAeCK1PCH7xO0qltdqYtXiirmnpNgPnkRhsNSnYJ/Ruo64IjUQeJUUFYGkoPPQt26LdKe+UOWniQ/T5r0ucA2vtWiu0xuoVHJ8AuLgYxTvL2KVes2h4HnsjzPJ1zbDfGH5wAAtXoOkMoIfmExCItOhkickCuBfPbsGQDA3NwcLi4umDhxIpydnWFhYVHuJXyICGlpaaUqLZPzODk5udCh4vx6Bo2NjYvVQ6ilpVUle2W9vLygpqaGLl26FPuayrj94mIPG3RYc73EO+YUhs/lYLGHjdLaq2zYkDejsBkzZmDNmjW4fPkyXF1dy/3+iYmJOH78OA4cOIArV66Az+eja9euGDx4MLwTjHFq8yIkB5/N/2IOF/q9ZkPNshWAnAUtv4LEqXlOFdSoA0PPpRCoqlfY4pWQ9/HosfFmoeck+O1HYsDBQs/RcRkK7VYDCj5+azPUMuMgFAohEAggFArzPC7qe2Ue4/F4rGagkuU3daIkhZsBQJoSj/ebhgMyCThCVdSasAdckRpAMiD0Bt4eXwkAaNiwYa4SPiYmJgrHn5mZqdC8wcTExAKHirlcbq6h4tIMF5dmqPhbYGtri3r16uHw4cPFviY1NRUaGhrYt28fPD09yzC6kqlM84urAtYFwShsyZIlCAoKQv/+/REUFIRatWqV6/21tbUxfPhwDB8+HJ8+fcLhw4exf/9+eP40HTVHbwYRgaeuC/UmblCp1QiyjBQk+B+EJO49QDLEXd4hTyhjz6yTJ5MaTTtDtW4LJN3xhvjdY2RFv0ZiwCHothsh74FRxtAFESE+Ph5RUVGIjIxEZGRkrsdffp/A04HB0JWF/zycBoFkUiTf9ZHPh+Np6YOnrovMT9lD/1xR4XNeLRtZQT3jMzIzM5GZmYmsrCxkZmYiJSUl1/dfP87vmDJwOJwyT1qV3U5lH7ItzX7FX0t+eA6QZSdl6tbtspNJAOBwoW7REseOHYOTk5O8ByqHVCpFcnJyqYtPJyQkICMjo8C41NXV8yR6ObVkCyst8+VQ8feYDCrq1atXCA4Oxq+//lqi69TV1aGurl6peigBgPP6FuKvH4eu6zCF25rhZvlNJ5MASygZJeDz+Th8+DDs7OzQt29fXL9+HSKRqEJiMTIywpQpUzBlyhT8/K8/fJ8lQN2qLXTbj8q1S4FAzwSfdk8GAEiToiFNTYAkMQqZUa/kx6t1mpCdyBjVw4cNPwAgpDy6AB3XYeALBNh3O6LAxStEhJSUlGIliVFRUcjMzMx1vaqqKoyMjGBgYABDQ0M4OjrC0NAQ0KmFXZ8K/xlwOFzoug6Ddqv+yIp9D65ABXxdI0Qf/v2/11+98De2P36bo5Siu0QEiURSrMSzLI5lZGQgKSmpRNcV1GtVUlwut0J6c4tzrgQ8hfcrJpkUKQ/Oy7/XbNY11/FUjiqOHPfCrl278iSDycnJBbYrFArzTfRMTEyK1UOopaXF9uCuIF5eXlBVVUXXrl2LPvkrNWrUqFQJ5bVr1zB48GAIhUL88vts/H0zstQVQv7safXNJ5MASygZJdHX15f3Rvz888/YsmVLRYeEB1FZIHCgYpI36eNXy71rBkcggvj9U/n3wpqW8h4KvkY18LVrQJIYBVlGCrJiIsAxqINT99+gZmRAvkliZGRknrpsAoEAhoaGMDQ0hIGBAZo0aYJOnTrJk8YvjxXUQ5IqlmB3AUV3v8YVqEBkmF3SSRwZhoyIx9nPq2pBZJx3YZD8ZwGgtp5yVu1zOBwIBIJSzQUjIshkMvmXVCrN9X1ZHZNKpcjMzIRYLM6VdOaXiH6ZLH/9JZFI8jyWSCR5vlJSUuSPpVIppFJprsdffn0Z85exl3TmkqCGOWqO+LvE/0++lB4aCGlyDIDsmnxCfbPcJ3A4eBuXjhoCHurWrVus4tM5Q8VM1XT06FF069atVFU/atSogaioqDKIquSePHkCNzc3cDgc+Pv7w86uGdztS17DuFUdvQrbRaoisISSUZoWLVpg06ZNGDVqFFq0aIGRIwsvoVCWUsSSQntg0l78Nw9RVMsKXKEqJIn/fTrmqevkOp+rrgMkZr/ZSRIiITSog88ZwPjJU6GlJoKurq78D2OTJk3g4uIi39lBU1MTmpqaUFVVLTBJ+vTpEz58+FCsREgdTZCCgv/opoXdReqji1C1aAmeZjVkRYcj8daR7HltALTse4PDFxZ4PT8jAR49upZ7Ivf181UZh8MBl8vN9cXj8fI8V9AxgUAAkUhUouty7vtlDF8+/jLpFGsYoYiO7iIl3z8tf5xT4Plrm7Zs/eb2K2by9/r1awQFBWHmzJmlur6y9FC+f/8eLVu2hEQiwcmTJ2FnZwcAMKmmhr0j7UtVu/l7wRJKRqlGjhyJO3fuYMKECWjcuDFatGhRIXG8jU0tsBdPHBmGuItbs7/hCaDbYTSA7B0RcuSU25F/z/3vV0WWlT0vkcPhgKttgPjoN7lK+xRXaZMNTvP+gIVzrh0YcpFJkPbyJtJe5l28o9bACVotPQoOimTQzfgIXV3dYsfzPR0rzrUcDqfSz7978jER3f72L/X1WXEf5NvL8TSqQa2+Y77nCfmVex4pozxHjx6FqqpqqXdPMzAwwMOHD5UcVckkJCSgWbNmSEtLw9atW/N9LfUMNDG/pxXmw6pEtZu/B9/vK2fKzPr16/HgwQP06dMHQUFB0NfPW++wrGUWsMd1xrsniD66IHtbQi4P+j1nyIeFv5xjSdLci0lI9t+8Oq7gv/mhvqfPwsZIo8SJiiIJR1E75Qj0TKBm2QriT6GQpiaAwxdAqF8bGk06Qd26XeH35nBxYMG47+6T9fdGXwXIrldaun+H2b2T2R/ZNJp2ASefDzdEhF8njoJrawc4OTnB1ta2SpbBYYrHy8sLXbt2LfUmFxXdQ5meng5bW1vExMRg7ty5GDNmTJHXlKR28/eAJZSM0olEIhw7dgy2trYYOHAgzp8/X+6T5PPrGUl/cx+fj/8FyhIDPAH03WdBrb6D/Dhf+7+VqNLUhFzXSlP+64Hk6xjKH5vUNIRxOb+hyIvuvoqBNJ9uWIFeLeh7zClxu9960d3v3cePH3Hy5En4+Pjg8uXLqD58AwS6NXPtVZwZ9Vp+viQpGqnPs3sxRUb15b8fsqwMpIRczj6Jy4dm08753k+Lk4GUhFj8/vvvSE9Ph6qqKhwcspNLZ2dnODg4sP23vxFv3rzBvXv38Msvv5S6jZyEkojKvYdfIpHA2dkZb968wdChQ7Fo0aJyvf+3go1HMGWiVq1aOHLkCK5fv445c0qe3Ciqtp56rr6XtBc3EX30T1CWGByBCmr0m5crmQQAUa1G8sfiD8/lc84kyTHyQuBcFQ35CmllLl4pqQF1ZJBkZQJKLCP7rRfd/d4QER4/foy//voLLVu2hLGxMSZMmID09HT8+uuvqCNKB8mkkKUmIubEUsScWCrf7x0AxBEh8udzhrcBIPXJNXlpLTVLR/A08s6R5HE56OPYEFeuXEFiYiJu376NhQsXQktLC5s2bYKbmxt0dHRgZ2eHKVOm4OjRo4iMjCz7HwpTJo4ePQoVFZVSD3cD2Qlleno6UlPz1gAuS0SEnj17IigoCO3atcOePXvK9f7fEpZQMmWmTZs2WLFiBVasWAEvL69yvbe6iA/T/6+sS33uj88nlgJSCQAOtJ0GgcMTIOPdE/kXSbIgqmkJoUFdAIAk7j3izm1AWmggYnxXQj6819gNHF52b6upnlqFzJe5ePEiBvboCN3XFwElfpL/s6fVd7Ma8VslkUhw7do1TJ06FRYWFrCxscHSpUthZmaGf//9F35+fjA3N8fixYvxxHdrvkPVRUn5YpOAghbjSGWEIQ7ZH7wEAgHs7e0xffp0nDhxAp8/f8azZ8+wZcsWWFtb4+TJk+jXrx+MjIxQr149DB8+HDt37sTLly9LvHqdqRheXl7o0qULNDQ0St1GRe2WM2rUKJw9exbW1tY4e/ZspZ//XJmxnXKYMkVEGDx4ME6ePInAwEBYWZXfHtE5O4FE+a5G6uPLhZ5rPG4n+DoGxdophytSA4/LwVB7swLrUJaVw4cPY+jQoXBzc8ORI0ewK/CDUvYpn+FmiQltLZQQIVPekpOTcf78efj4+OD06dOIj49HzZo10bNnT/Ts2RNt27ZFcHAwli1bBh8fH9SsWRNTp07FmDFjMMHrGW6+jlXq9nI5UydKspPUhw8fEBAQAH9/f/j7+8v3+NbX15cPkTs5OaFp06ZsHmYlEx4eDnNzcxw4cACDBg0qdTshISFo3Lgxbt26BQcHh6IvUII//vgDCxcuRM2aNfH8+XM2BUNBLKFkylxqaiocHBwgFotx9+5daGuXz5zDnMUrMafWFDuhBLJXsCb4H/hvL28NPag1cJLv5Z3j0lSXcp1vuGnTJkycOBFDhgzBzp075X9YD92NwDzfJ6zo7nfk48eP8PX1hY+PD65cuYLMzEzY2NjA3d0dPXv2hJ2dHTgcDs6cOYNly5bBz88PlpaWmDlzJjw9PeUbD7yLS0OHNdchLmARW0kREXiQ4vxkZ9SrWa3U7eQMk/v7+8PPzw+BgYHIyMiAurq6fB6mk5MTHBwcFOoVYxS3cuVK/Pbbb/j8+bNCCVlUVBQMDQ1x4sQJuLu7KzHC/G3duhXjxo2DlpYWnj9/DiMjozK/57eOJZRMuQgLC0Pz5s3h6uoKb2/vctuWbujOwErRA6MIIsKCBQuwYMECTJ06FStXrszz83sX90XRXQ7yXayTI6forrNF9e+q6G5VljMf0sfHBz4+Prh37x54PB5cXFzg7u6OHj16oE6dOgCArKwsHDp0CMuXL8fjx4/h4OCAWbNmoWfPnvn+3il7v+LEi5tQF1Hw9vZWyp7dQPa+3ffv34efn5+8FzMuLg48Hg/NmjWT92K2bt0aBgYGSrknUzwODg4wMjKCt7e3Qu1IJBIIhUJs3boVo0ePVlJ0+fPx8UGvXr0gEokQHByMhg0blun9vhcsoWTKzenTp9G9e3csWrQIc+fOLZd7KrsHBgBEfC4uTXUtl0RMKpVi8uTJ2LRpE5YsWYJZs2YVOscnNCoZa07dg8+dMAi+3g0I33fR3aomKysL/v7+8PHxga+vL968eQMNDQ106dIFPXv2RNeuXVGt2n+9gKmpqdixYwdWr16NiIgIdO3aFbNmzYKzs3OR88I2XA1V2tQJR+0keHh4ID09HUePHoWLi4vC7X5NJpPh+fPn8uTSz88P4eHhAIB69erJh8idnJxgYWHB5sWVkYiICJiZmWH//v0YPHiwwu3VqFEDP//8c5n+fQgICICrqyuICFeuXIGrq2uZ3et7wxJKplzl9LSdOXMGnTvnX25E2ZTdA7Ost025DBGLxWIMGzYMR48exdatWzFq1KhiXbd//34MGTIEnz7HITaTi34DBqG5bVNsXv7nd110typISkqSz4c8c+YM4uPjYWxsnGs+ZM5wdY6YmBj8/fff2LBhAxITEzFo0CDMnDkTNjYlW7GvzKkTnz9/xoABA+Dn54e1a9di/PjxZZ7UvX//HgEBAfJezEePHoGIYGBgIE8unZ2d0aRJE7bXt5KsXr0ac+bMUXi4O4e1tTXat2+PdevWKSG6vJ4+fQpbW1uIxWIcOnQIAwYMKJP7fK9YQsmUK5lMBnd3dwQEBODevXvyYbqypswemPJYvJKSkgIPDw/4+fnh4MGD8PAoZHebr/z+++/YtWsXPnz4AABwc3ODlpYWjh49WlbhMgr48OGDfD7k1atXkZmZicaNG+eZD/m18PBwrFq1Cjt37gSHw8GoUaMwbdo0mJmZ5XOX4sk1daKY+xUXNHUiKysLM2bMwLp16zBixAhs3LixXPfpTkxMxM2bN+W9mIGBgRCLxVBXV4ejo6O8F9Pe3r7Uxbi/d46OjjAwMMCJEyeU0l67du1gYGCAgwcPKqW9L0VERKBx48ZITEzEihUrFKqZyeSPJZRMuUtISEDz5s2hoaGBmzdvQk2tfObw5fTAZGRmlahcCkklEAr4WNSrfHomY2Ji0LVrVzx//hy+vr5o06ZNia7v168f4uLicPly9kKkH374AWFhYQgICCiDaJmSIiKEhITI50MGBQWBx+PB1dVVPh/S3Ny8wOsfPnyI5cuX4/Dhw9DR0cGkSZMwceJE6OnpKS1GZe5X/O+//2LMmDFo0qQJjh8/DmNjY6XFWRJisRhBQUHyIfKAgADEx8eDx+PB1tY21zB5RezuVdW8e/cOpqam2LdvHzw9PZXS5sCBA/H582f5e5eyxMTEoEmTJvj48SMmTpyIv//+W6ntM9lYQslUiJCQEDg4OMDDwwN79+4ttzlOi9Zsxt+BsVA1bwYuCLJCtp7L6YERxr2C6JE3HvhfAo9X8rp9JREREQE3NzfEx8fj3LlzaNasWYnbsLa2Rps2bbBhwwYAwKxZs3D06FG8evVK2eEyxZSVlQU/Pz/5fMjw8HBoamqiS5cucHd3R5cuXaCrm7dAeA4iwvXr17Fs2TKcO3cOZmZmmD59OkaMGFHmvWvK2K/43r178PDwQFZWFo4dO4bWrVuXUbTFJ5PJ8OzZs1wLfd6+fQsAsLS0zDVMXqdOHTYP8ytr1qzB7NmzER0drbTKHZMnT8bVq1cREqK8KUopKSlo0aIFnj9/jl69euH48ePs/2VZIYapIAcPHiQAtH79+nK5X0ZGBtWqVYsaNmxI+haN6Tfvh+Sy4grVnn2KzL74qj37FLmsuELzfB5TaFQS3bp1iwDQtm3byjS+p0+fUq1atah27dr08uXLUrWRlZVFQqGQ/v77b/lza9asIVVVVZLJZMoKlSmGxMREOnz4MA0ePJh0dHQIANWqVYvGjx9P586do4yMjCLbkEqldOzYMWrZsiUBIBsbG9q3bx9lZmaWwytQrsjISHJ2diaBQEBbtmyp6HDyFRERQQcOHKDx48dT48aNicPhEAAyNDSkvn370rp16ygoKIiysrIqOtQK5+joSD169FBqmwsXLqQaNWoorT2xWEytWrUiAGRvb09isVhpbTN5sYSSqVDTpk0jPp9PN27cKPN7bd26lQBQtWrVaOrUqfLnUzKy6PGHBLr/No4ef0iglIy8fyw8PT1JX1+fEhISyiS227dvU7Vq1cjGxoY+fPhQ6nZCQ0MJAF28eFH+3KFDhwhAmcXO/CciIoI2btxIbm5uJBAICAA1adKE/vjjD7p3716xk/qMjAzavn071a9fnwCQq6srnTlzpsp/KMjMzKQJEyYQABozZkyxkuqKFBcXR6dPn6bZs2eTk5MTCYVCAkCamprk5uZGf/75J125coVSU1MrOtRyFRERQQDo33//VWq7W7duJS6XSxKJROG2pFIp9ezZkwCQhYUFJSUlKSFCpjAsoWQqVFZWFrVp04YMDAwUSqSKkpmZSbVr15Z/Wg0JCSnR9e/evSM1NTWaMWOG0mM7d+4cqampUevWrSkuLk6htk6ePEkA6N27d/Lnrl+/TgDo2bNniobKfEUmk1FwcDAtWLCAbG1tCQDx+Xxq3749rV+/nt68eVOi9hISEmjZsmVkZGREHA6HPDw86Pbt22UTfAXauXMnCYVCcnR0pI8fP1Z0OMWWnp5Ofn5+tGTJEurWrZu855nP55O9vT1Nnz6dTpw4QZ8/f67oUMvUmjVrSCgUKv1Dqre3NwGgqKgohdqRyWQ0ZswYAkD6+vr06dMnJUXIFIYllEyFi4qKImNjY3J0dCyzIYl//vmHAJCLiwu1bNmyVG0sWLCABAIBhYaGKi2uAwcOkEAgoG7duimll2P58uWkoaGRqyfrxYsXBICuXr2qcPtM9oeTixcv0qRJk8jMzIwAkJaWFg0YMIAOHDhA8fHxJW7z48ePNGvWLNLS0iKhUEgjR46k58+fKz/4SuT27dtUs2ZNMjIyolu3blV0OKUilUrp0aNHtGnTJho8eDCZmJgQAAJADRo0oNGjR9OePXvo1atXVb53+UutW7em7t27K73dmzdvluoD/9fmz59PAEhdXf2b/z2qTFhCyVQKt2/fJqFQSOPHj1d62xKJhOrXr09ubm7E5XJLPX8rNTWVTExMqFevXkqJ6++//yYOh0PDhg1T2py4ESNGUPPmzXM9l5SURADowIEDSrnH9yghIYEOHjxIgwYNIm1tbQJAJiYmNGHCBLpw4UKpPwi9fPmSRo8eTUKhkDQ1NWnGjBll2lNf2Xz69IlatWpFQqGQduzYUdHhKMXbt29p//79NG7cOLK2tpYnmDVr1qT+/fvT+vXrKTg4WCnDuhXh/fv3BID27Nmj9LbDwsIIAF2+fLnUbeRMbeLz+RQQEKDE6JiisISSqTS2bdtGAGj37t1KbTdn8c+ECRNIRUVFoWGaAwcOKPyGJ5PJ6I8//iAANH36dJJKpaVu62utWrWiIUOG5HleXV2dVq1apbT7fA/evn1LGzZsoI4dO8rnQzZt2pTmzZtH9+/fV6jH6c6dO9SnTx/icDhkYGBAS5YsKVXP5rdALBbT2LFjCQCNHz/+m1s4ERsbSydPnqRZs2ZRq1at5P+WNDU1qVOnTrRo0SK6du0apaWlVXSoxbJu3ToSCARl8u8158PvwYMHS3X9sWPHCABxOBw6fvy4kqNjisISSqZSGTVqFIlEIgoKClJKe1KplKytrcnNzY3q1auXb7JVEjKZjBwdHcnGxqZUPQwSiYTGjRtHAGjZsmVKHQaTyWSkq6tLixYtynOsbt26ZTL/81sik8no/v37NH/+fGrWrJm8l6NDhw70999/U3h4uMLtnzt3jtq2bStfKLB161ZKT09X0iuo2rZu3UoCgYCcnJwoMjKyosMpM2lpaXTjxg1avHgxdenShbS0tAgACQQCcnR0pBkzZpCPjw/FxMRUdKj5cnJyom7dupVJ2zKZjFRUVGjdunUlvvbatWvE4/EIAG3YsKEMomOKwhJKplJJT0+nFi1akJmZmVImtudM8t64cSMBoCtXrijc5p07dwhAiYfOMzIyqF+/fsTlcmnnzp0Kx/G1qKgoAkDHjh3Lc8zJyUnhZPpbJBaL6cKFCzRx4kQyNTWVz4ccOHAgHTx4UCm9MFlZWXTgwAFq2rQpAaDmzZuTl5dXlR3yLEsBAQFkaGhIxsbGdOfOnYoOp1xIJBJ6+PAhbdiwgQYOHEjGxsbyYfJGjRrRmDFjaO/evfTmzZsKn4f54cMH4nA4Sh9F+pKpqSnNnTu3RNcEBweTqqoqAaCZM2eWUWRMUVhCyVQ6ERERVL16derQoYNCf3RlMhnZ2tpSmzZtaPjw4VSnTh2lDS8PGzaMqlevXuzh86SkJGrfvj2JRCLy9vZWSgxfy1nN/eTJkzzH+vXrR+3bty+T+1Y18fHxdPDgQRo4cGCu+ZATJ06kixcvKm3INTU1lTZs2EDm5uYEgNzc3Ojy5csVnhRUdh8+fCB7e3sSiUT0zz//VHQ45U4mk9GbN29o7969NHbsWGrUqJE8wTQ2NqYBAwbQhg0b6MGDB+X+oWT9+vUkEAgUrkZRmObNm9Po0aOLff6rV69IV1eXOBwODRo0iP1+VSCWUDKV0uXLl4nL5dLs2bNL3caZM2cIAPn6+pK6ujotXLhQafF9+PCB1NTUaPr06UWeGx0dTc2bNyctLS26du2a0mL42tatW4nH4+Vb22/y5MnUqFGjMrt3Zff27Vv6+++/qUOHDsTn8wkANWvWjObPn0/BwcFK/SMUGxtLf/75J1WvXp24XC4NHDiQ7t+/r7T2vwcZGRk0YsQIAkCTJ0+ukoXclSkmJoZ8fX1pxowZ5OjoKJ+Hqa2tTV26dKG//vqLbty4UebTJ5ydnalLly5leo+uXbuSu7t7sc6NjIykWrVqEZfLpTZt2nz3/04qGksomUprxYoVBICOHj1a4mtz5jo6OjrSjh07iMPhUEREhFLjW7hwIQkEgkJ3tQkPDydLS0syMDCg4OBgpd7/a1OnTqV69erle2zx4sVUrVq1Mr1/ZSKTySgoKIjmzZsnH2oWCATUsWNH2rBhg9L/LRBl96xPmTKF1NXVSUVFhcaPH0+vXr1S+n2+FzKZjDZu3Eh8Pp9cXV0pOjq6okOqNNLS0ujatWu0aNEi6ty5s3weplAopFatWtHMmTPp5MmTFBsbq7R7fvz4kTgcDu3atUtpbeZn6IhR1LxDr0I3miDKrrzQqFEj4nK5ZGVlxQqXVwJsL2+m0iIiDBgwAGfPnsWdO3fQsGHDYl975coVtG/fHqdPn8Zff/0FTU1NnDt3Tqnxpaeno0GDBmjatCl8fHzyHH/y5Ak6deoEoVCIixcvom7dukq9/9e6dOkCoVCYbyz//PMPhg8fjoyMDIhEojKNo6JkZmbi2rVr8PX1ha+vL969ewdtbW107doV7u7u6Ny5s9L2HP7SkydPsHz5chw4cACampqYMGECJk2ahBo1aij9Xt8jPz8/9O3bFyoqKvD29oatrW1Fh1TpSKVShISEwN/fH35+fvDz88OnT58AAFZWVnB2dpbvTW5mZlaqe2zcuBFTpkxBVFQUqlWrpszwERqVjP2BEbj6IhpvY1OBL/ba5gAwraaGtpY14GlvinoGmsjIyECHDh1w69YtGBoaIigoCIaGhkqNiSk5llAylVpKSgrs7e0hlUpx584daGlpFeu6tm3bIikpCfv27UOjRo1w+PBh9O/fX+nxHT58GAMHDsTFixfRoUMH+fO3bt1Ct27dYGJignPnzsHIyEjp9/6aubk5+vfvj2XLluU5dv78eXTu3Bnh4eGl/oNSGSUkJODMmTPw9fXF2bNnkZSUBFNTU7i7u8Pd3R0uLi4QCARlcm9/f38sW7YMp06dQq1atTBt2jSMHj0aGhoaZXK/79m7d+/Qu3dvPH78GDt27ICnp2dFh1SpERHCw8PlCaa/vz+ePXsGADAxMZEnl87OzrCysgKXyy2yzTZt2kBVVRVnz55VWpzv4tIwxzsEfmEx4HE5kMoKTkdyjjvV1UPs+Y04f2w/NDU1cefOHVhaWiotJqb0WELJVHovX75EixYt0K5dOxw7dqzINz9/f384Ozvj+PHjuH37Nnbs2IGPHz+WSc8cEcHFxQXx8fF48OAB+Hw+zp07hz59+sDOzg6+vr7Q0dFR+n2/lpaWBg0NDezcuRPDhw/Pc/zhw4do2rQpbt++DXt7+zKPpyy9ffsWPj4+8PX1xfXr1yGRSGBraytPIhs3bgzOFz0cyiSTyXDq1CksW7YMN2/eRKNGjTBz5kwMGjQIQqGwTO7JZMvIyMC4ceOwZ88eTJs2DcuWLQOfz6/osKqMmJgYBAQEyJPMoKAgSCQS6OjooFWrVvJezObNm0NFRSXXtZGRkahZsyZ27NiBESNGKCWeQ3cjMM/3CSQyKjSR/BqHZJBKspB0dSfObvgNjo6OSomHURxLKJkqwdfXF+7u7li8eDF+/fXXQs/t3LkzPnz4gHv37sHMzAwDBgzAunXryiy2oKAgtGjRAhs3boS2tjZ++OEHdOnSBYcPH4aqqmqZ3fdLOQnjzZs3832DjY6OhoGBAby9vdGrV69yiUlZiAj379+XJ5EPHz6EQCBA27Zt4e7ujp49e6JWrVplGkNmZiYOHDiAFStW4OnTp2jdujVmzZqFbt26Fat3h1EOIsLff/+NadOmoU2bNjh06BCqV69e0WFVSWlpabhz5448wbx58yZSUlIgFArRsmVLeS9m69atceDAAfz8889KG+7ecDUUKy+8LPX1RAQOh4Nf3OpjYtt6CsfDKAdLKJkq448//sCiRYtw7tw5uLm55XvO3bt30bJlSxw8eBDq6uro2bMnHjx4gCZNmpRpbMOHD8eRI0eQlpaGH3/8Edu3by/X3pNDhw5h0KBBiIuLg66ubp7jMpkMIpEI69evx08//VRucZWWWCzGtWvX5Enkhw8foKOjk2s+ZHGnPygiOTkZ27dvx5o1a/D+/Xv06NEDs2bNQuvWrcv83kzBrl27hn79+kFDQwMnTpwo89/v74FEIkFISIh8iNzPzw+RkZHgcDhQU1ODrq4uli9fDicnJ5iYmJT6PofuRmD28RClxb2stw0GtDBVWntM6bGEkqkypFIpevTogcDAQNy7dw/m5uZ5znF3d8fz58/x9OlT9O3bFxEREQgKCirTuIgI06ZNw9q1a2FnZ4e7d++W2ZBrQebPn48tW7YgMjKywHNq1aqFESNG4M8//yzHyIovPj4eZ86cgY+PD86dO4fk5GSYmZnJh7KdnZ3LbD7k16Kjo7F+/Xps3LgRKSkp8PT0xIwZM2BlZVUu92eK9vbtW3h4eOD58+fYtWsXBg4cWNEhfVOICK9fv8bp06fx888/w9DQUP7+YmpqmmuhT6NGjYrVU/8uLg0d1lyHWCLL97gkMRqJt44g/U0wpCmx4ApUwdc1hFp9R2g75j8HXsTn4tJUV5hUUyv9i2WUgk1AYaoMHo+Hffv2oUWLFujduzcCAgKgpvbfm8jDhw/h6+uLf/75BzExMTh16hTWrl1bpjFJpVJMmDABW7duRefOnXHp0iW8fPmy3CeJP3/+HA0aNCj0nC//IFQW4eHhueZDSqVS2NnZYcaMGXB3d4eNjU25JuevX7/GypUrsXv3bvB4PIwZMwZTp05VqEeGKRtmZmYICAjAmDFjMGjQIAQHB2Px4sXg8XgVHdo3gcPhoG7duhAIBODxeAgJCQERISAgQN6LefjwYUgkEujq6qJ169byhT52dnb5zlmf4x0CSQHzJTPeP0W013yQOE3+nEyajMxPyZClpxSYUEpkhDneIdg7smrPDf8WsB5Kpsp5+PAhHB0d0bdvX+zZs0eecAwYMAB3797FixcvsG7dOvz222/49OlTvkPAyiAWi+Hp6YkTJ05g+/btGDRoEBo2bAgrKyucOnWqTO5ZkKZNm8LBwQFbtmwp8JwePXoAAE6ePFleYeVBRAgKCpInkY8ePYJAIEC7du3g7u6OHj16lPl8yPwEBwdj2bJl8PLygp6eHiZPnozx48crvTwKo3xEhLVr1+KXX35Bhw4dcPDgQfb/TYnatWsHPp+PCxcu5DmWmpqKwMBA+Pv7w9/fHzdv3kRqaipEIhFatmwp78V0dHTEZzEPHdfeyPcesowUfNwxHtKUOIDDhUbTTlA1twWHL4QkIRJZse9RrePYQuO8NNUFFjU0lfKamdJhCSVTJe3fvx9DhgzBhg0bMGHCBDx79gxWVlbYsmULRo8eDSsrKzRt2hQHDhwok/snJyejV69euHnzJg4fPoyePXsCAI4ePYp+/frh3Llz6NSpU5nc+2tSqRQaGhpYunQpfv755wLPGzNmDO7fv4979+6VS1w5xGIxrl69Ch8fH5w8eVI+H7Jbt25wd3dHp06dymU+5NeICFeuXMGyZctw8eJFmJub45dffsHw4cPLbTEVozyXLl3CgAEDoKOjgxMnTsDGxqaiQ6ryoqOjYWRkJH9fLYpEIsHDhw9zlSuKiooCh8OBxYBfkWXmAOLkHRpPDDyGhKu7AQDazkOg07pk0xd4XA6G2pthfk82JaUisSFvpkry9PTE3bt3MWXKFDRt2hRbt26FsbExfvjhBwQGBuLZs2dYv359mdw7OjoaXbt2RWhoKM6fPw8XFxf5sT59+sDFxQXTpk3Dw4cPy2VhTkREBDIyMirVkHdcXJy8PmTOfMjatWujb9++cHd3h5OTU7nNh/yaVCrF8ePHsWzZMgQFBaFp06Y4ePAg+vbty8rQVGEdOnTAvXv34OHhAUdHR/zzzz/o27dvRYdVpXl7e4PD4cDDw6NY5/P5fNjZ2cHOzg4///wziAivXr2Cn58flj9VQ2Y+ySQApIfe+e8bInzcOQGS+E/gqmlDvZErdJwGg8MvuCyXVEa4+jIa88ESyorE6l0wVdaKFSvg6OgIDw8P7N+/HzNnzoRIJMKuXbtgamqKdu3aKf2e4eHhcHZ2xvv373Hjxo1cySSQPe9o7dq1ePbsGbZu3ar0++fn+fPnAFBkQmlkZISoqCjIZPlPiFfUmzdvsHbtWrRr1w41atTA0KFDER4ejpkzZ+LRo0d4/fo11q5di7Zt21ZIMpmRkYGtW7eiQYMG6N+/P7S1tXH+/Hncv38fAwcOZMnkN8Dc3BwBAQHo3r07+vXrh7lz50IqlVZ0WFWWl5cX2rZtW+rSTBwOBxYWFug3eCgy+AUX/M+KfSd/nOi/H1mf34IkmZAmfUbS7aOIPrYQRQ2mRsSmIVUsKVWcjHKwd1CmyhIIBDhy5Ajq1q0LHo+HYcOGITU1FYcOHcK0adOUXh/w8ePH6NSpE1RUVBAQEFDgVorNmjXDiBEj8Mcff2DQoEFlPp/r+fPnUFNTK3LhiJGRESQSCWJiYpSyLaBMJss1HzIkJARCoRDt27fHhg0b0KNHDxgbGyt8H0UlJCRg8+bNWLduHaKjo9GnTx8cPHgQzZs3r+jQmDKgrq6OgwcPws7ODrNnz0ZwcDAOHDhQLhsMfEs+f/6Mq1evYvPmzQq39TY2FYWlg7KMFPljrooGdDuMAQDEX9oGWUYKMt4EIz00EGr1HQpsgwCEx6bCqqbyt1dliof1UDJVWmZmJsRiMWQyGX777TccPXoUycnJ+PHHH5V6n5s3b8LFxQX6+vqFJpM5Fi1ahKysLCxYsECpceTn2bNnsLS0LDKBztn+MWeP39IQi8U4e/Ysxo0bBxMTE7Rs2RKbNm1C06ZN4eXlhZiYGJw5cwbjxo2r8GTyw4cPmDFjBkxNTbFgwQK4u7vjxYsX8PLyYsnkN47D4WDGjBk4c+YMbt26hZYtW+Lp06cVHVaV4u3tDQDFHu4uTGYBZYJycPj/jVhoNOsKDet22V/Nusifzwh/oPB9mLLFEkqmSlu+fDl0dHSwatUqbNiwAUuWLEH79u1Ru3Ztpd3jzJkz6NChA2xsbHDt2jUYGhoWeY2hoSHmzp2LjRs3yvfQLSvFKRmUExOAEs+jjIuLw969e9G3b19Ur14dXbt2xcWLFzFgwABcvXoV0dHR+Pfff9G3b19oalb8Ksvnz59j5MiRMDc3x/bt2zFhwgSEh4dj69atqFeP7arxPenUqRPu3bsHkUgEe3t7nDhxoqJDqjK8vLzQpk0b6OvrK9yWkF94qsHT+u8efO3/Rk/4Wv89lmWmoShF3YcpW+ynz1RZnz59wo4dOzB16lRMnjwZvXv3xosXL9C+fXul3WPfvn1wd3dHx44dce7cuRINm02ZMgVmZmaYPn260uLJT0kTyuL0UL5+/Rpr1qxBmzZtUKNGDQwbNgzv3r3D7NmzERISgrCwMKxevRpt2rSpNHMPb9++DQ8PDzRq1Ahnz57FX3/9hYiICCxZsqRYHwKYb1PdunVx69YtdO7cGR4eHpg3b16ZzSP+VsTExODq1avo16+fUtqrraeOwqrJqhg3kj+WJH3O9/GXSWd+OP+/D1NxWELJVFkrV66EiooKJk6cKC/Cy+PxsGXLFsTGxirc/tq1azF06FAMHToUx44dK3EpGZFIhBUrVuDs2bM4e/aswvHkJzY2Fp8/fy5WQikSiVCtWrV8E0qZTIY7d+5g7ty5sLa2Rt26dfHrr79CXV0dGzduxIcPHxAYGCg/Xt47ARWEiHDmzBm4urrC0dERz549w/bt2/HmzRvMmDGjQsoRMZWPhoYGjhw5gsWLF2PhwoXo1asXEhMTKzqsSsvb2xtEhN69eyulPXURH6aF7GSj0cQN+H/KmXL/DFIeX83+Cv7vfVO9fqtC72GqpwZ1UeX4cPu9YgklUyV9/vwZW7ZsweTJk6GtrQ2pVIr9+/dj8ODBSE1NhaenZ6lXdxIR5s6di6lTp2LmzJnYuXNnqXvhPDw80KZNG0ybNg1ZWVmlaqMwOSu8GzZsWKzzvywdlJGRgTNnzmDs2LGoVasW7O3tsWXLFtjZ2eHo0aOIiYnB6dOnMXbsWNSsWVPpsSsiKysL+/btQ5MmTdCtWzeIxWIcP34cT58+xciRI/PdpYP5vnE4HPz66684deoUbty4AXt7e/nvD5Obl5cXXF1dlbJ4L0dbyxrgcfP/ICoybgAt++y5mrKMZMSeWoXYU6sgy0gGAGg59IXQsOB56zwuB23rKy9WpnRYQslUSWvWrAGXy5UX8r5w4QI+fvyIn3/+GYcOHcLFixcxb968ErcrlUoxduxYLF68GCtWrMCyZcsU6o3LKSP04sULpayW/Nrz58/B4XCKPTewevXquHXrFvr06YPq1aujW7duuHTpEgYOHIhr164hKioKe/bsQZ8+faChUXCZj4qSmpqK9evXw8LCAkOHDkWtWrVw7do13Lp1Cx4eHkpf2c98e7p27Yq7d++Cy+WiZcuWFbpzVGUUExODK1euKG24O4envSmkBWy7CAC6bUdAr9tUCI3qgSMQgSMQQVjTEno9pkO3zY+Fti2VEYY4mCo1XqbkWP8wU+XExcVhw4YNGD9+PPT09AAAO3fuROPGjWFrawsOh4MlS5Zg1qxZaN68OXr16lWsdjMyMuDp6QkfHx/s3r1baSvFmzRpglGjRmH+/Pnw9PSUx6wMz58/h7m5OVRUVAo859WrV/Dx8YGPjw/8/PxAROByuZgzZw7c3d3RqFGjSjOEXZCYmBhs2LABGzZsQEJCAgYOHIiZM2eicePGFR0aUwXVq1cPgYGBGDZsGHr27Ik///wTc+fOZR9IAPj4+Ch1uDtHPQNNOFtUx83XsQUmlho27aFhU7I58DwuB63q6LFtFysBtvUiU+UsWLAAS5cuRXh4OAwMDPD582cYGxtj5cqVmDx5MoDsYet+/frhwoULuHv3LiwtLQttMykpCb169cKtW7dw5MgR+b7XyhIdHQ0LCwv88MMP+Pvvv5XWbo8ePSCTyXD69Gn5czKZDHfv3pUnkU+fPoVIJEKHDh2QlZWFFy9eIDw8XGkxlKW3b99i1apV2LlzJ4gIo0aNwrRp05S6ip/5fslkMvz111/4448/0KtXL/z777+VolJBRercubN8u1RlexeXhvarr0EskSntQ6yIz8Wlqa4wKWSOJlM+2McxpkpJSkrCunXrMGbMGBgYGADI3tebw+HA09NTfh6Hw8Hu3btRq1YteHh4IDk5ucA2o6Oj0bZtW9y/fx8XLlxQejIJADVq1MDvv/+OzZs3K7Ue3rNnz9CwYUOkp6fj9OnTGDNmDIyNjeHg4IBt27ahRYsWOHbsGGJiYnDq1Cl06tQJMTExSrt/WXn06BGGDBmCunXrYv/+/ZgxYwYiIiKwfv16lkwySsPlcvH777/Dx8cHly9fhoODA0JDQys6rAoTFxeHy5cvK324O4c0KRrJ13YqdUTkz55WLJmsJFhCyVQpmzZtQmpqKmbMmAEguydy165dcHd3zzOUrKmpCW9vb7x//x7Dhw/Pd+uuN2/eoHXr1vj48SNu3LgBZ2fnMot98uTJqF27NqZNm1bkNmLF8f79e7x+/RpXrlxB9erV0b17d1y9ehWenp64fv06IiMj8c8//6B3797y+ZBGRkZITU0tNMGuKESE69evo2vXrmjSpAn8/PywevVqREREYP78+aXe/o1hitKzZ0/cuXMHUqkULVq0wJkzZyo6pApx4sQJSKVSpQ93A/99cI+66Y346/8qpc0ZbpYY0ILNnawsWELJVBmpqalYtWoVhg8fjlq1agEAgoKCEBISghEjRuR7jaWlJf79918cO3YMK1asyHUsJCQErVu3BhEhICCgzOfjiUQirFq1CufPny/1H6ywsDCsWrUKLi4uMDMzAxEhMzMTv//+O548eYKXL19i5cqVcHFxyXdlujJ2y1E2mUwGb29vODo6ok2bNnj//j327t2LsLAwTJ48GerqrLYcU/YaNGiAwMBAODs7o3v37liyZIlSPvhVJV5eXnB2dlZ63dbk5GR07NgRb9++BRHhN4/mWNrbBiI+t8CV3wXhcTkQ8blY1tsGE9paKDVORjEsoWSqjG3btiE+Ph6zZ8+WP7dr1y4YGxujY8eOBV7Xq1cvzJ07F7/++isuXboEAAgICICLiwsMDAwQEBCAOnXqlHn8QHZPSLt27YpdRkgmk+H27dv49ddf0ahRI9SrVw9z586FtrY2Ro8eDQC4du0aZs+eXazFNaXdLacsiMVi7Ny5E40aNULv3r0hEolw+vRpPHz4EEOGDIFAICi6EYZRIm1tbfj4+OD333/HnDlz0L9/f6SkpBR94TcgLi4Oly5dUvpwt1gsRvfu3RESEgIiwqRJkzBjxgwMbGGKS1Nd0apO9shSUYllzvFWdfRwaaor65msjIhhqoD09HQyMjKiH3/8Uf5cWloaaWtr09y5c4u8XiKRUKdOnUhPT4927dpFKioq5OrqSgkJCWUZdr4ePXpEXC6X1qxZk+/xtLQ0OnnyJI0aNYoMDAwIAFWvXp1+/PFHOn78OKWkpBAR0Z9//knVq1cv0b0TEhIIAB06dEjRl1FqiYmJtHz5cqpZsyZxOBzq1asX3bp1q8LiYZj8HD9+nDQ0NMja2prCwsIqOpwyt2vXLuJwOPTx40eltSmRSMjDw4M4HA4BIA8PD5LJZHnOexmZRPN8HpPLiitUe/YpMvviq/bsU+Sy4grN83lMoVFJSouNUT6WUDJVwsaNG4nL5dKLFy/kz+3bt48AFPvNPjY2lqpXr04AqEePHpSenl5W4RZp3LhxpKOjQ58/fyYios+fP9Pu3bupV69epKamRgCoXr169Msvv9CNGzdIIpHkaWPw4MHk5ORUovvKZDJSVVUtMJktS58+faLZs2eTtrY2CQQCGjFiBD179qzc42CY4nry5AlZWFiQrq4unT9/vqLDKVNdunQhZ2dnpbUnk8lo7NixBIAAkKOjI2VmZhZ5XUpGFj3+kED338bR4w8JlJKRpbSYmLLFEkqm0hOLxWRqakqDBg3K9Xy7du2oTZs2xW5n1apVBIB4PB4NGzYs30/K5SU6Opo0NDTI0dGRnJyciMvlEofDIUdHR1q6dCk9ffq0yPhsbW1p1KhRJb53nTp1aObMmaUNvcRevnxJY8aMIZFIRJqamvTLL7/Q+/fvy+3+DKOI+Ph46tKlC3G5XFq+fHmFvm+Ulbi4OBIIBLR+/XqltfnHH3/Ik8n69etTcnKy0tpmKieWUDKV3o4dOwgAPX78WP7c69evCQD9+++/RV4vk8lo9uzZBIBmz55N//77LwGgzZs3l2XYeUilUrp58ybNmjWLGjRoIH+zbdOmDe3YsYMiIyNL1JaamhqtXLmyxHG0atWKhg0bVuLrSuru3bvUt29f4nA4ZGBgQIsXL6b4+Pgyvy/DKJtEIqE5c+YQABo4cKB82sm34p9//iEOh0MfPnxQSnsbN26Uv78ZGBjQp0+flNIuU7mxhJKp1LKysqhu3brUu3fvXM//8ccfpKmpSampqUVeP3LkSAJAq1atkj8/adIkEggEdPPmzTKJO0daWhr5+vrSyJEjqUaNGvL5kMOHDycvLy+qW7cudejQocS9Hm/fviUAdPr06RLH1KdPH+rYsWOJrysOmUxG58+fp3bt2hEAsrCwoC1btlTo9AKGUZYjR46QmpoaNWnShN68eVPR4ShNt27dSjx9piBHjhyRJ5Pq6uq5pikx3zaWUDKV2t69ewkA3b9/X/6cRCIhExMTGjNmTKHXpqenU69evYjH49GePXtyHROLxdS6dWuqWbOm0j89R0VF0a5du8jd3Z1UVVXlQz4zZswgf3//XPMhfX19CQD5+vqW6B7nz58nAPTq1asSxzdx4kSytrYu8XWFycrKooMHD1KzZs0IANnZ2dGRI0fynfvJMFXZo0ePqE6dOqSnp0eXLl2q6HAUFh8fTwKBgNauXatwW5cvXyYej0cAiM/ns8V23xmWUDKVllQqpQYNGlC3bt1yPZ+TTAUGBhZ4bUJCArm6upKKigqdPHky33M+fvxIhoaG5OzsXKzJ4oV5/vw5LV++nFq3bk0cDoc4HA61atWKli1bRs+fPy/wOplMRh07dqR69eqRWCwu9v3WrVtHIpGoVAnbokWLSrw6vCBpaWm0ceNGqlOnDgGgjh070qVLl77JeWYMkyM2Npbc3NyIy+XS6tWrq/S/9z179hAAevfunULt3Lt3j0Qikbx30sfHR0kRMlUFSyiZSmvfIS8S1DCnf0/fyLXab8CAAWRlZVXgm3hkZCQ1bdqUdHR0yM/Pr9B7+Pv7E5/Pp59//rlEsUkkEvL396eZM2eSpaUlASBVVVXq2bMn7dy5s0TzIUNCQojL5eYaki/KTz/9RDY2NiWKOcfOnTsJQIkS2K/FxsbSwoULSV9fn7hcLg0YMICCgoJK3R7DVDUSiYRmzpxJAMjT05PS0tIqOqRS6d69O7Vq1UqhNl6+fEmampryZHLLli1Kio6pSlhCyVQqOfXInJdfIbNZJ/PUI2u99CJV7/QTzVn2d77Xv3r1iurWrUtGRkb06NGjYt1zw4YNBID27dtX6Hmpqal04sQJGjFiBOnr6xMA0tfXpxEjRpCPj0+R8zkLM378eNLW1qbo6Ohind+mTRvq379/qe515swZAkARERElvjYiIoKmTp1K6urqpKKiQj/99NN3UaOPYQpy8OBBUlVVJVtbW3r79m1Fh1MiCQkJJBQKFSoj9uHDB/n7IYBi1QVmvk0cou9sbymmUnoXl4Y53iHwC4sBj8uBVFbwP0uSScHh8uBsUR2LPWxgUk0NAPDo0SN06tQJGhoauHDhAszNzYt1byLCjz/+CC8vL9y6dQtNmjSRH4uOjsbJkyfh6+uLixcvIj09HZaWlnB3d4e7uzvs7e3B4/EUe/EAYmJiUK9ePQwcOBCbN28u8nwjIyOMGTMGCxYsKPG9Hjx4gGbNmiEwMBAtW7Ys1jVPnz7F8uXLsX//fmhoaGDChAmYPHkyatSoUeL7M8y35sGDB/Dw8EBqaiq8vLzg6upa0SEVy969ezFs2DC8e/dOvp1tSSQkJKBZs2YIDw8HAPzwww/YvXt3kTt2Md8mllAyFe7Q3QjM830CiYwKTSS/xuNywOdysKCnFYwz3qJHjx6oU6cOzp07V+JEJz09Ha1atUJiYiIOHDiA69evw9fXF7du3QIAtGrVCu7u7ujZsycsLS1L1HZxrV27FtOnT0dwcHCh+4onJCRAV1cXBw4cwKBBg0p8n8jISBgZGcHHxwc9e/Ys9NyAgAAsW7YMJ0+ehLGxMaZNm4bRo0dDU1OzxPdlmG9ZTEwMBgwYgOvXr2PNmjWYOHFipU+sevbsiZiYGNy8ebPE16anp8PR0REPHz4El8tFhw4dcOrUKbZl6neMJZRMhdpwNRQrL7xUuJ2UgAOw4X2Ej48PtLS0SnStVCrFrVu3sHfvXuzYsQMymQyqqqpwc3ODu7s7unXrVi49cVlZWbCxsYGxsTEuXbpU4B+jwMBAODg44P79+2jWrFmJ7yOVSiEUCrFp0yaMHTs2z3GZTIbTp09j2bJlCAgIQMOGDTFz5kwMHjwYQqGwxPdjmO+FRCLBrFmzsHr1avzwww/YsmULVFRUKjqsfCUlJUFfXx9Lly7F1KlTS3StRCJBhw4dcP36dfD5fNjY2ODGjRvQ0NAoo2iZqoBf0QEw369DdyOUkkwCgEbrwRjZo2Gxk8m0tDRcuHABvr6+OHXqFD5//owaNWrAzc0N586dw88//4wlS5YoJbbiEggEWL16Nbp16wZfX1+4u7vLj6WKJQiPTUWmRIYrwS/BEaiUuqeUx+PBwMAAnz59yvV8ZmYmDh48iBUrVuDJkydo1aoVfHx80L17d3C5XIVeG8N8D/h8PlatWoVmzZph9OjRePr0KY4fP16q4eSydvLkSWRmZqJPnz4luo6IMHDgQFy/fh0CgQA1a9bE2bNnWTLJsB5KpmK8i0tD28Wn8DnAC+IPz5H5KRQkEQMA1K3bo3r33J+YiQgpD84h5eEFZMVGAOBAoG8GTdvu0LBuCwAQ8bm4NNVVPqfya1FRUTh16hR8fHxw8eJFZGRkoEGDBvL5kC1btgSPx8OSJUswZ86cYg0JKxsRoUuXLggLC4PP1UB4BUfi6otoRMSlgXKfCDM9dbS1rAFPe1PUMyjZELStrS1atmyJLVu2ICUlBdu3b8fq1avx/v17dO/eHbNmzYKTk5NSXxvDfE/u37+PXr16QSwW49ixY5Xu96lXr16IjIzE7du3S3TdhAkTsGnTJggEAmhoaOD27duoX79+GUXJVCUsoWQqxNCdgbh66w4+7Jyc51h+CWXMqdVIfXwl37a0HPtB1/UH8LgctKqjh70j7QFkJ2fPnz+Hr68vfHx8cPv2bXA4nFzzIfN7IyQi9OnTB5cvX8bdu3fL/c3ySuBDDF5zEirmzYpcoJRz/OsFSkXp1q0bpFIpWrRogY0bNyI5ORmDBw/GjBkzYG1trayXwjDftejoaPTv3x8BAQFYv349xo0bVynmVSYlJaFGjRr466+/MH369GJf9+eff2LevHkQCATg8Xi4evUqHBwcyjBSpiphCSVT7kKjktFx7Q1kxkQg7vwmiIwbQJqWiNRHFwHkTSjTwx8i+tBcAABXXQfV2o8GOFzEX94OaUocAA4Mf1gFkVF24rfURR1BV07Dx8cHoaGhUFNTyzUfUl9fv8gYk5KS5D2WgYGB5Tack7NAKTNLAuIUf5j5ywVKA1uYFnru69ev0b17dzx//hxqamoYPXo0pk6dClPTwq9jGKbksrKy8Msvv2D9+vUYOXIkNm7cCJFIVKExHThwAJ6enggPD4eZmVmxrtm2bRvGjh0LPp8PqVQKHx8f9OjRo4wjZaoSNoeSKXf7AyPA43IgrG4KQ8+lAIDk4DPyhPJrGa+D5I81m3WFeqPskhySxCgkXPsHQPZwuMioPkgmxfjVByEMyX6zW716Ndq3bw9VVdUSxailpQVvb2+0bNkSI0aMwOHDh8u8ZyHXAqUSJJMAIP3/CvnZx0MQkyLGxLb18pzz4MEDLFu2DEeOHIFIJIKmpibevHmDatWqKSN8hmHyIRAIsG7dOjRr1gzjxo3DkydPcOzYMdSsWbPCYvLy8kLLli2LnUx6e3tj3Lhx4PF4kEgk2LJlC0smmTzYTHum3F19EV2i8kAycar8MUeg8sXj/z7li98/y36Oy0M91174+PEjtm/fju7du5c4mczRsGFD7NmzB15eXli1alWp2iguZS5QWnnhJQ7fjQCQPXx/5coVdOrUCc2aNcPt27exfv16/PXXX0hPT4eOjo5S7skwTOF+/PFH+Pn54d27d7Czs5OXJCtvycnJOHv2LPr161es82/cuIG+ffuCw+FAKpXit99+y7c6BMOwHkqmXKWIJYiISyvRNYJqxvLHqU+uQr2hC8DhIDXkvzmVkuQY+ePoVBnSs2RQFyn+eal3796YPXs2Zs2aBVtbW7Rr107hNr/2Li4N83yfQJqejKTAY8VapBS5fzbE7x4X2OYf/DNIeHkXO9Yuxb1799CkSRMcOHAA/fr1A5/Px/Hjx5GVlYW4uDhUr15d6a+JYZi8WrRogaCgIPTt2xeurq7YuHEjRo8eXa4xnDp1CmKxGH379i3y3JCQEHTs2BFEBA6Hgx9//BF//vlnOUTJVEWsh5IpV29jU1HSSbvqNu3BVc0uB5QV/QYfNv2IDxt/QGZkqPwckmT+9xhAeGzq182U2qJFi9CuXTsMGDAAERERSms3xxzvkOyi7kmfkXT7KMTvHsuTydISZ2bhj5NPoampiXPnziE4OBiDBg0Cn5/9GdLIyAgA8pQOYhimbBkYGODy5csYPXo0xowZg3HjxiEzM7PoC5XEy8sLLVq0QO3atQs97+3bt3B0dERmZiaEQiHc3Nywbdu2SrGoiKmcWA8lU64yJbISX8NT04bBwEWIPbMOmVGv/v8sB2qWjkh7kb3DA1eknuuapctXoo42Fzo6OtDR0YGurm6u/+ro6EBTU7NY9RV5PB4OHjyI5s2bo0+fPvDz81NaseLQqGT4hf2/d5XHh8jEOs8ipcIIatRBtY75DD9xeVA1t8W29VNgUSNvSSFDQ0MA2bvm2NjYKPQaGIYpGaFQiI0bN6JZs2aYMGECHj9+jKNHj8p/L8tKSkoKzp49W2QvY0xMDGxtbZGamgpNTU3Ur18fXl5ebBccplAsoWTKlZBfuk5xoUEdGA1fB0lCFKTpSeDrGiHrc7g8oRRUz71COehuIK5FPEN8fDxSU/PvreRyudDW1s432czvufnz52PcuHEYMWIEdu7cWeq5mV/KWaAklVGxFynleg0iNaiYWOV7jMflYN/tCMzvmfc466FkmIo3atQoWFtbo3fv3mjevDmOHz+Oli1bltn9Tp8+jYyMjEKHu1NSUmBra4u4uDhUq1YN2traOH36NCtczhSJJZRMuaqtpw4OUOJh7xx8HQPwdQwAALGB3vLnVS3+exPmALh75QzURdn/vLOyspCYmIj4+HgkJCTI//vl4y+fe/funfy5+Ph4SCSSXDEcPHgQBw8ehIqKSoEJaFHJqba2dnYdtxIuUPpaZtQrvFs3GLLMNPC19KFW3xHarQaCK1KDVEa4+jIa85E3ocyJnSWUDFOxHBwcEBQUhD59+sDZ2RlbtmzB8OHDy+ReXl5esLOzg7m5eb7HMzMzYW9vj3fv3sHAwAASiQTnzp2DgYFBmcTDfFtYQsmUK3URH6bV1PA2Lg2yrAykv7oHAMiMei0/R5IUjdTn/gAAkVF98LVrIPrYIggN6kBoaAGSZCL18VWkhwUCAHga1aDZxE1+vamemjyZBLLLdlSvXr1Ui0+ICOnp6bkSzyVLluD8+fMYP348dHR0ch37+PEjnj59Kn8uMTGxwLa19GpAd9ROQIE5SZSZDkI6AEAS/wlJgceR/vo+DIeuAFeoiojYNKSKJbl+HjmMjIxYQskwlYCRkRGuXr2KyZMnY8SIEQgKCsKaNWuUOsScmpqKM2fOYN68efkel8lkaNu2LZ4+fQojIyPEx8fj6tWrbBccpthYQsmUu7aWNbA38C0kqYmIObE0z3FxRAjEESEAAL2uU6DRuAMkiVFID827RRhHpIbqvWaDq5I9HMPjctC2fg2lxcrhcKCmpgY1NTUYG2evNvf29kabNm1w+PBhBAUFFfrpXSqVIikpKd/e0NCYdBxKKF0yydPQhWZzd4iMLcEVqUP8/ikSA48BUgmyPocj6a4PdFoPlC9QsqqpnacNQ0NDREZGlur+DMMol0gkwtatW2Fra4tJkyYhJCQEXl5eqFFDOe9np0+fRnp6er7lgogIHh4euHnzJmrWrIlPnz7Bx8eH7YLDlAhLKJly52lvin9uhZfoGnWrNkjj8iBJiIQsKwM8dV2o1rGDtmN/8LX/e8OVyghDHMp2xxehUIijR4/C1tYWAwYMwKVLl+Srp7/G4/Ggq6sLXV3dPMNMwRHxOLT5Zqli0Heflet71Tp2AIeLxICDAP5fDL71QAAFL4QyMjLC+/fvS3V/hmHKxtixY2FtbY0+ffqgefPm8Pb2hp2dXYnaSBVLEB6bikyJDEI+F7X11OHl5QVbW1vUqVMn33v6+vrC0NAQHz9+xNatW1nhcqbEWELJlLt6BprQl8YgWqs6zGafKtY12vZ9oG3fp9Bzcvbyzm9Vs7LVrFkTXl5eaNeuHWbNmlWqwuelXaBUYHtG/w1NSdP+G2ov6D5GRka4e/euUmNgGEZxrVu3RlBQEHr37o3WrVtj27ZtGDZsWKHXhEYlY39gBK6+iEZEXFqueeocAFnVO6NpIz5Co5JRz+C/98jff/8d27dvh76+PiIjI/H7779jzJgxZfPCmG8aq0PJlLvIyEg82f0bIJNCWVvJExE4JMNij/IrgePs7IzVq1dj9erVOHToUImvz1mgVFKS5FhIUuLyPJ/58YX8MU9dB0D2H5Laeup5zgXYkDfDVGbGxsa4fv06PD098cMPP2DKlCnIysrKc967uDQM3RmIjmtvYG/gW7z9KpkEshdB8nUM8TSrOjquvYGhOwPxLi4NGzZswKJFi6Cjo4O4uDgMHz4cCxYsKJfXx3x7WA8lU+5GjhyJ9Jj3UHt2Guk2Hkppk8PhIOr0OqxIuYBVq1aVW720iRMn4s6dOxg5ciSsrKxKVNPxywVKAIq9SEmSEInoowug3tAVKnVswRWpQfzuSfYcyv9TrZc99+nrBUpfMjIyQnJyMlJTU6Gunn/SyTBMxVFRUcGOHTtga2uLKVOm4NGjRzhy5Ih8geGhuxGY5/sEkv9XiiiqYkTO4ZuvY9F25RVEnT4JdXV1ZGVloWPHjti6dSsrXM6UGoeU1UXEMEXIysrC+PHjsWPHDtjY2CAwMBA7b79Xyh7Wv7jVB//FZUyePBmOjo44cuRIuZW6SEtLQ6tWrZCSkoJ79+6VaH/s+b5PsDfwLaQygiQhCh+2jCz0fL2uU8DXroGog3MKPEdUqxEMBi4CXyjCUHuzfOtQAsCVK1fQvn17hIaGwsLCotgxMwxT/nL21FZTU4O3tzcCEjQUeu/M2U4x894x1Ix/hGvXrrFak4xC2JA3Uy4iIyPRvn177Nq1CwKBAJcuXYKqqiomtq2Hpb1twJFJQFJJ0Q19gcflQMTnYllvG0xsWw/jxo3D1atX8eLFCzRv3rzc5geqqanh+PHjiIuLw5AhQyCTFX83oEaiuBLXoRQa1UO1zhOhUscOPG0DcPhCcAQqEBpaQLftCBgM+gscvrDIBUqsuDnDVB0uLi4ICgpC9erV0X7M7wp/EM/piRQ274Oxy/5hySSjMNZDyZS5W7duoW/fvpBKpUhOTsa4ceNyLWK5du0aOvYaCKOe08A1tpLvHFOQnOPOFtWx2MMGJtXUch3/8OED+vTpgwcPHmDLli348ccfy+ql5XLu3Dl07doV8+bNK7DWW46PHz9i9uzZ2Lt3LyxGrYVU3wIK1DfPI2eB0t6R9gWeEx8fj2rVquHIkSP5lhJhGKbyCf0Yh07r/SAFL9fwdMbbR4WOXGi3HgQdZ898j4n4XFya6prnvZRhSoL1UDJlhoiwdetWuLq6onbt2hg2bBikUil++eUX+TkSiQTDhw+HJDEKa3tZ4OIUFwy1N4OZnlqeBSscAGZ6ahhqb4ZLU12wd6R9vm+AOZPZhw4diuHDh2PSpEn5TmZXts6dO2PhwoWYP38+Tp3Kf/W6WCzG8uXLYWlpiXPnzmHHjh24tGQkBDzl/SoSEaRZmZjualzoeTo6OhCJRKyHkmGqkD/PhoLDEyh1rqNERpjjHaK09pjvE1uUw5SJjIwMTJw4ETt37sT48eOxcOFC1KtXD6NGjZIPtQLAxo0bER4ejiZNmsDDwwMcDgfze1phPqyQKpZg2PjpeP8pErt2bENtPfUCF5h8TSQSYfv27WjevDkmTZqEhw8fwsvLq8znVf7666+4e/cuhgwZgnv37uWam3jmzBlMmTIFr1+/xsSJEzF//nz5fMsFPa0w+7hy3tA5HA4yb+5D76PTcOrUKTRq1KjA89huOQxTdYRGJcMvLKbI83Q7jIXQIHe9Sb6WfoHnS2UEv7AYhEUnl0vZNebbxHooGaV79+4dXFxcsG/fPuzevRsbN27Ezp07kZycjJkzZ8rP+/z5M+bMyR6i2bx5c55P3OoiPlTFsVBNi4JVTe1iJ5NfGjt2LK5evYrQ0FDY2dnhzp07ir24InC5XOzZswcGBgbw8PBAamoqwsLC0L17d3Tr1g0mJiZ4+PAh1q5dm2vxzsAWpvjFTTlbnM1ws8St/augrq4OR0dHXLx4scBzWekghqk69gdGgMctumdSqG8GFROrXF9fbgCRHx6Xg323I5QVKvMdYgklo1TXrl2DnZ0doqKiEBAQgB9//BHp6elYuXIlfvjhB5ia/rdIZObMmUhPT0e3bt3g6OiYb3symQw8Hk+hmHKKBJuYmMDFxQW7d+9WqL2iaGtrw9vbG2/evEGLFi3QqFEjPH78GMeOHcOlS5dgZZX/quucBUoiPrdYfzS+9OUCpQltLWBmZoaAgAC0bt0aXbp0webNm/O9jvVQMkzVcfVFdLEW8cWcXIm3K3rh3ZoBiDr0O9LDHxR5jVRGuPoyWglRMt8rllAySkFEWL16NTp06AAbGxvcu3dPvl3Y9u3bERsbi19//VV+/r179/DPP/+Aw+Fg9erVBbYrk8nA5Sr+z7RmzZq4du0ahg0bhhEjRmDChAnIzMxUuN38EBGCg4MhFArx7NkztGvXDs+ePUPv3r2LnPc0sIUpLk11Ras6ev9vrPAV4zmJZ6s6erg01RUDWvyXsGtpacHX1xfjx4/H+PHjMWXKFEil0lzXs4SSYaqGFLEEEf+vWVsUaUocIJVAJk5FRngwog/9jpRHl4q8LiI2DaniklXbYJgcbA4lo7DU1FSMGjUKhw4dwowZM7B48WL53tY5i1AGDx4s30NWJpNh3Lhx4HK5GDNmDOrXL3ioVyqVKiWhBLLnVW7btg3NmzfHxIkT8ejRIxw9elSp8yqDg4MxadIkBAQEoG/fvtDT08OOHTsQGBiINm3aFKsNk2pqWOxWE3Vn90ev6SsRxa+OiNi8W6mZ6qmhbf0aGOJgWuC8Jz6fj/Xr18PS0hKTJ09GWFgYDh48CE3N7PNZQskwVcPb2NQ8O+DkwuVCZNoYapaOEOjWhCwjBUl3TiAzMhQAIe7ydqg1cAJXqFJgEwQgPDYVVjW1lRw98z1gCSWjkFevXsHDwwOvX7/G4cOH0b9//1zH//nnH3z8+FE+VxIA/v33XwQFBUFVVRXz588vtH1lDHl/bcyYMbC2tkafPn1gZ2eH48ePo2XLlgq1GRMTg99++w3btm1Do0aNcPnyZbRr1w4SiQShoaHo378/7t+/j1q1ahWrvX379oGf+hk7xneClpYWUsUShMemIlMig5DPLdECJQCYMGEC6tati/79+8PJyQknT56EqakpDA0NERMTg6ysrHLbXYhhmJLLlBQ+WqFiYg3DwYtzPadaxw7vN48EiVNB4lSIPzyDqnkzhe7DMAVhQ95MqZ09exbNmzdHeno6bt++nSeZzMrKwtKlS9GvXz80aNAAAJCYmIhffvkFXC4Xs2fPLrJ3UJk9lF9q1aoVgoKCYGpqCmdnZ+zatatU7UgkEmzYsAH16tXD4cOHsW7dOjx48ADt2rUDkN1DeOjQIaioqKBPnz4Qi8VFtklE2LNnD3r37g0tLS0A2QuUrGpqo5mpbqkXKHXu3Bk3b95EYmIiWrZsiTt37sDIyAhEhOhoNneKYSozIb/k74NcFQ0IdGvKv5elJZbJfRgGYAklUwoymQwLFy5Et27d4OTkhLt378La2jrPefv370d4eDjmzp0rf27BggVISEhA9erVMW3atGLdqywSSiB7XuXVq1fx448/YuTIkRg/fnyJ5lVeu3YNtra2mDx5Mvr164eXL19i0qRJ8uH+HPr6+jh+/DgePnyIyZMnF9nunTt38OLFC/zwww8lfk1Fsba2RmBgIMzNzeHq6oonT54AYLvlMExlV1tPPU9t3i+JI8PyPCfLSEFW/Af591x1nULvwfn/fRimNNiQN1MiiYmJ+OGHH+Dj44N58+bhjz/+yDfhk0qlWLx4Mdzd3dG4cWMAwNOnT7F+/XpIpVL8+eefxdrqSyaTlelQrEgkwtatW2FnZ4eJEyciJCQEXl5eMDQ0LPCaiIgIzJgxA0eOHIGjoyPu3r0rX4BUkObNm2PTpk0YOXIkWrRogVGjRhV47p49e2BsbCzv5VQ2AwMDXLlyBSNGjMCsWbMAsISSYSo7dREfptXU8LaAhTnxl3dAJk6FhnU7CGqYQ5aWiKQ7J0Di7PO5qloQGTcs9B6memqlGv1gGIAllEwJPH36FB4eHoiMjMTJkyfRvXv3As/18vJCaGgoDhw4ACB7GHfSpEkQCoUwMTHByJEji3VPqVQKkUiklPgLM2bMGNjY2OSaV2lvn3vbwpzyR0uWLIGOjg727t0LT0/PYu9YMWLECNy5cwcTJkxA48aN8523KRaLcejQIYwdO1bpc0e/pKqqigMHDqBevXpYuHAhlixZAjc3t3L5WTMMUzo21bl4GysDOPmP2mRFv0H8lZ15D3D50OsyCVxBwb/fPC4HbesXXquSYQrDhryZYjl27Bjs7e0hEAhw7969QpNJmUyGRYsWoXPnzmjevDkA4Pjx47hy5QrS09OxfPnyPMPChbVVlonVlxwdHREUFITatWvDxcUFO3dmvzETEby9vdGoUSMsXLgQkyZNwosXLzBkyJASb3+2bt06NGvWDH369Ml33uLJkycRHx9fJsPdX+NwOPjzzz+hra2NO3fuoGPHjoiJKXoXDoZhytfNmzfRo0cPbJsxtMBkUrfdCGg2d4dAvza4qloAlweeRjWoNXSB0bBVUKuff63fHFIZYYiDaaHnMExhOERUdJVU5rsllUrx22+/yRfX7Nq1q8iham9vb/Tu3Rv+/v5o3bo10tLS0KBBAyQmJsLGxgZ+fn7FTsQ6dOiA6tWr49ChQ8p4OcWSmZmJyZMnY+vWrRg4cCA+f/6My5cvo0uXLli7dm2hZY6K4/3797Czs4OVlRUuXLiQK7nu0aMHoqOjERgYqOjLKLZmzZqhdu3aCAgIgJaWFk6dOiVfRMUwTMUgIpw/fx5LlizBjRs30LBhQ8yePRvnM+vj9pu4YhU4Ly4el4NWdfSwd6R90SczTAFYDyVToNjYWHTp0gXLly/H8uXLcfjw4SKTSSLCwoUL0bZtW7Ru3RoAsGzZMnz8+BFJSUlYsWJFiXr1ynJRTkGEQiGWLVuGDh064NChQwgICMDevXtx5swZhZNJAKhVqxaOHDmCGzdu5Cr2Hh0djbNnz5ZL7+SXcuaLBgYGQiQSwdHREZcvXy7XGBiGySaVSnHkyBHY2dmhS5cuyMjIgLe3Nx4/foxhw4Zhae/G4JdwJ62i8LkcLPawUWqbzPeHJZRMvoKDg9G8eXPcv38f58+fx4wZM4qVCJ49exbBwcH47bffAACvX7/G0qVLoa6ujj59+hS4xWJBynPIO+d+u3btQv369XHr1i389NNP0NXVxaxZs3D79m2l3cfV1RUrV67EypUrceTIEQDAgQMHwOVyMWDAAKXdpzhyipubm5vj5s2baNmyJTp37ozt27eXaxwM8z0Ti8XYvn07GjRogAEDBkBPTw+XL1/G7du30atXL/kHa5NqaljQM//tW0vrz55WMKmmptQ2me8PSyiZPPbt24dWrVqhWrVqCAoKQocOHYp1XU7vZKtWrdC2bVsAwLRp06CiooLU1FQsXry4iBbyKqs6lPkJDAyEg4MDRo4ciY4dO+LFixfYtGmTfF6lq6srduzYobT7/fzzzxg0aBBGjBiBx48fY8+ePejRowf09PSUdo/i+HK3HG1tbZw+fRqjR4/GmDFj8Msvv+TZrpFhGOVJSUnBqlWrUKdOHYwdOxaNGzfGnTt3cPHiRbRr1y7fD/JNNFKRcSf7g6iis9ZmuFnm2rKVYUqLJZSMXFZWFn7++WcMHToUAwYMgL+/P8zMzIp9/ZUrV3D79m389ttv4HA4OH/+PHx8fCCRSDB27NhSDReXx5B3ZGQkhg8fDgcHB0gkEvj5+WHfvn0wNjYGkJ1wXb16FSNGjMDo0aPx008/KWUfcA6Hg+3bt6NOnTro1q0bHjx4UO7D3UD2kHdkZKT8DxOfz8fGjRuxbt06rFmzBr1790ZKSkq5x8Uw37LY2FjMmzcPpqammD17Ntzc3PDkyRMcO3YMLVq0KPC66OhodOvWDTofAsG/fxgcaRZ4JRwB53E5EPG5WNbbBhPaWij4ShgmG1uUwwDITqr69++PW7duYd26dfjpp59KvIK5TZs2SElJwd27d5GVlQUbGxukpaUhISEBYWFhpdoz28HBAdbW1krtGcyRmZmJv//+GwsWLIBQKMTixYsxcuTIQofYd+zYgQkTJqB58+Y4evQojIyMFI7j1atXsLKyAhEhKSmp3Ev3HD16FP369UNsbCyqVauW69jp06cxcOBAWFhY4OTJk8XeOpJhmPy9f/8eq1atwrZt20BEGD16NKZPnw5T06J7CdPS0tCuXTuEh4fDxMQE4eHhOHb+OrYHJ8MvLAY8LqfQxTo5x50tqmOxhw0b5maUivVQMrh16xbs7OwQGhqKa9euYfz48SVOJv38/HD9+nV57+S6desQFhaGqKgozJgxo1TJJFB2PZTnz59H48aNMXPmTPzwww94+fIlxowZU+R8zVGjRuH69esIDw+HnZ0dbt26pXAsZmZmUFVVRWZmJpYvX65weyWVkxTnV9y8W7duCAgIQGxsLOzt7REUFFTe4THMN+HFixcYOXIk6tSpg3/++QfTpk3D27dvsW7dumIlkzKZDEOHDsWjR4/QqFEjPHnyBKdOnYKLbSPsHWmPi1NcMNTeDGZ6agByJ5UcAGZ6ahhqb4ZLU12wd6Q9SyYZ5SPmuyWTyWjLli0kEAioVatW9OHDh1K35ebmRtbW1iSVSunDhw+koaFBlpaWZGhoSMnJyaVu187OjsaNG1fq67/26tUrcnd3JwDUpk0bevToUana+fTpE7Vu3ZoEAgFt27ZNoZhOnTpFAGjcuHHE4XDo9OnTCrVXUq9evSIAdPHixQLP+fTpE7Vs2ZLU1NTo+PHj5Rgdw1Rt9+7do759+xKHwyFDQ0Navnw5JSYmlrid6dOnE4fDoa5duxKXy6WTJ08WeO6WnbtJUMOc7ryKpscfEiglI0uRl8AwxcISyu9Ueno6jRw5kgDQ+PHjSSwWl7qtwMBAAkCHDh0iIqIhQ4aQjo4OAaCtW7cqFGfTpk1p/PjxCrVBRJSSkkJz584lkUhEJiYmdOTIEZLJZAq1KRaL6aeffiIANHbsWMrIyChVO/369SMbGxuSSCTUvXt30tHRobCwMIViK4nU1FQCQHv37i30vLS0NOrXrx8BoKVLlyr882OYb5VMJqMrV65Qx44dCQDVrVuXtm7dSunp6aVqb+PGjQSAevbsSQCK/BC7ceNG4vP5pboXw5QWSyi/QxEREdSiRQsSiUS0e/duhdvr0aMHWVpakkQiIX9/fwJADRs2pAYNGlBWlmKfjBs3bkwTJ04s9fUymYwOHjxItWrVIpFIRL///julpKQoFNPXduzYQUKhkBwdHenjx48lujYuLo6EQiGtXLmSiIji4+PJwsKCbGxslB5nYbS0tGj58uVFnieVSmnu3LkEgEaMGKHQBxGG+dZIpVI6ceIE2dvbEwBq3LgxHTx4UKH3wVOnThGXy6VOnToRAPrjjz+KvGbFihWkpaVV6nsyTGmwhPI7c/XqVdLX1ydTU1O6d++ewu0FBwcTANqzZw9JJBJq2rQp1atXjwDQiRMnFG7f2tqafv7551Jd++DBA3JxcSEA5OHhQa9fv1Y4noLcvn2batasSUZGRnTz5s1iX7d582bi8Xj06dMn+XMhISGkpqZGgwcPLrdeQEtLS5o6dWqxz9+zZw8JBAJq06YNxcbGlmFkDFP5ZWZm0r///ktWVlYEgJycnOj06dMK//4GBQWRuro6tWrVivh8Po0YMaJYbS5YsIAMDQ0VujfDlBRLKL8TMpmMVq9eTTwej9q1a0fR0dFKabdfv35kbm5OmZmZtHnzZgJAFhYW5OTkpJRkqGHDhiVKdIiIYmJiaPz48cTlcqlhw4Z04cIFheMoji/nVRZ3qN/BwYG6du2a5/lDhw4RAFq7dq2yw8yXq6srDRo0qETX3Lhxg/T09KhevXr08uXLMoqMYSqvtLQ02rBhA9WuXZsAUNeuXcnPz08pbUdERJCRkRFZWVmRpqYmdenShTIzM4t17axZs6hOnTpKiYNhiosllN+BlJQUGjRoEAGgX375ReFh6BxPnz4lDodD27Zto5iYGKpWrRo5OTkRgBL10hXG0tKSpk+fXqxzJRIJbdq0iapVq0ZaWlq0Zs2aYr8BK4tYLKbx48cTABo9enSh8yqfP39OAOjw4cP5Hp8+fTrxeDy6fv16WYUrN3DgQGrTpk2JrwsLC6MGDRqQrq4uXb16VfmBMUwllJCQQIsXL6YaNWoQl8ulgQMH0oMHD5TWfmJiItnY2JCxsTHVqFGDmjdvXqLFjZMmTSJra2ulxcMwxcESym9cWFgY2djYkLq6eoGJS2kNGTKEatWqRRkZGfTTTz+RpqYmGRsbU58+fZR2DwsLC5o5c2aR512/fp2aNGkin9sXGRmptBhKY+fOnfJ5lQWtnp8zZw7p6OgUOFE/KyuL2rRpQwYGBvT+/fuyDJemTp1KlpaWpbo2Li6O2rdvTwKBgHbt2qXkyBim8oiMjKTZs2eTlpYWCYVCGjNmDIWGhir1HpmZmeTm5kaamppkbm5OderUoaioqBK1MXLkSGrZsqVS42KYorCE8ht25swZ0tHRIQsLCwoJCVFq26GhocTlcunvv/+m4OBg4nK51L17d+Lz+fTixQul3adOnTo0e/bsAo+/e/dO3vtqb29PgYGBSru3ogIDA8nY2JgMDQ0pICAg1zGpVEomJiY0duzYQtuIioqiWrVqkYODQ6lXkRfH8uXLFZrEn5mZSWPGjCEANGvWLJJKpUqMjmEq1ps3b2j8+PGkoqJCGhoa9MsvvyhUZq0gMpmMRo0aRTwej6ysrKh69eqlmk4yaNCgUo04MIwiWEL5DZJKpbRw4ULicDjUrVs3io+PV/o9Ro4cSQYGBpSamkpOTk5Uv3590tbWVkqJny/Vrl2b5s6dm+f59PR0+uuvv0hNTY0MDAzon3/+qZRJzKdPn8jJyYkEAgFt2bJF/vylS5eKPTUgMDCQhEIh/fTTT2UW57///ksAKDU1tdRtyGQyWrVqFXE4HPLw8CjXVeoMUxZCQkJoyJAhxOPxSE9Pj/7880+Ki4srs/stWbKEAJCdnR2pqqrS7du3S9WOu7t7vnOzGaYssYTyG5OQkCAv3D1v3rwySbLCw8OJz+fTypUrad++fQSA+vbtSxoaGkofajYxMaHff/9d/r1MJiMfHx+qU6cO8fl8mj59OiUkJCj1nsomFotpwoQJueZVDh06lOrVq1fshUvbt28nAGU2pHzx4kUCQK9evVK4LR8fH1JXVyc7O7sy6cVhmLJ28+ZN6tGjBwEgExMTWrduXZl/QDp48CABoBYtWhRZuLwoHTt2pL59+yoxOoYpGksovyFPnz6l+vXrk5aWlkJvRkUZP3486enp0cePH8nIyIi6dOlCQqGQ/vzzT6Xfy9jYmObNm0dE2YtYOnfuTADIzc2Nnj17pvT7laVdu3aRUCikFi1akIqKCi1atKhE148ePZpEIpFSyj197fHjxwSA/P39ldLe/fv3ydjYmIyNjen+/ftKaZNhypJMJqNz586Rq6srAaAGDRrQ7t27y6XWqr+/P4lEImrWrFmxCpcXpXXr1jRs2DAlRccwxcP28v5GHD9+HC1btgSfz8e9e/fQvXv3MrnPx48fsXPnTkydOhVr165FQkICRCIRqlWrhmnTpin9flKpFFlZWZgxYwasra3x8uVL+Pj44Ny5c2jQoIHS71eWhg8fDj8/P4SFhSEjI6PE8f/9999o0qQJevfujZiYGKXGZmhoCACIjIxUSnvNmjXDnTt3YGhoCGdnZ/j6+iqlXYZRNqlUCi8vLzRv3hydO3dGamoqjh07hidPnuDHH3+EUCgs0/uHhobC3d0d5ubmCA4Oxh9//IHRo0cr1GZaWhrU1Nhe3Uw5q+iMllGMRCKh2bNnEwDq16+fQvtmF8fUqVNJW1ub7t69SwKBgMaNG6eULRbzI5VKSVNTkzQ0NEhNTY0WLVpU6q3LKpPWrVuTtrY2CQQC2rx5c4nqdUZERJC+vj61b99eaeWfiLJ7Z4RCIf39999Ka5Mou2RV7969icPh0MqVK9l2jUylIRaLaceOHVS/fn0CQO3ataOLFy+W67/Rz58/k4WFBZmYmJSocHlRLC0tadq0aUqIkGGKjyWUVVhMTAy5ubkRl8ul5cuXl/kbYVRUFKmqqtJvv/1GnTt3ptq1a1Pbtm2VssXi1+7cuUMODg7y7csiIiKU2n5FCQ8PJwC0Y8cOmjhxIgGgUaNGlWgF95UrV4jH49GsWbOUGpupqSnNmTNHqW0SZX8wmDVrFgGgMWPGlHttUIb5UnJyMq1evZqMjY0JAPXq1atCqkOkp6dT69atSUdHh9TV1UtUuLwoX889Z5jywBLKKur+/ftUu3Zt0tPTo4sXL5bLPWfPnk0aGhq0d+9e+aIfAOTj46O0e0RFRdHIkSOJw+FQ48aNSUNDg5YtW6a09ivawoULSV1dXd6TvHv3bhKJRGRvb1+iWpOrVq0iAHT06FGlxWZvb0/Dhw9XWntf27VrF/H5fGrfvn2ZrpRlmPzExsbS/PnzqVq1asTn82nYsGH05MmTColFKpXSgAEDSCgUkp6eXokLlxdFT0+PlixZorT2GKY4WEJZBe3du5dUVFTI1taW3rx5Uy73jI2NJQ0NDZo2bRqZm5uTm5sbNW7cWGlbLGZmZtKaNWtIW1ubdHV1aePGjZSVlUXa2tq0YsUKJbyCiieTyahevXp5JsvfuXOHatWqRQYGBsXetk0mk9GAAQNIQ0NDaX8U3d3dqUuXLkppqyBXr14lXV1datCgAYWFhZXpvRiGiOj9+/c0bdo0UldXJ1VVVZo0aRKFh4dXaEy//vorAaCaNWtS3bp1S1y4vCiqqqq0bt06pbbJMEVhi3KqkKysLPz8888YOnQoBgwYAH9/f9SuXbtc7r1+/XpIpVLw+Xy8f/8ebdu2xaNHj7BixQpwOByF2r506RKaNGmC6dOnY/DgwQgNDcX48ePB5/MhlUrB4/GU9Coq1q1btxAaGooffvgh1/MtWrTAvXv3YGlpibZt22Lz5s0gokLb4nA42LlzJ2rXrg0PDw8kJiYqHJ+RkRE+ffqkcDuFadOmDW7fvg2pVAp7e3v4+fmV6f2Y71doaChGjx4Nc3Nz7Ny5E1OmTEF4eDjWr18PMzOzCotr+/btWLJkCWrXro3MzEycO3cONWrUUFr7MpkM6enpbFEOU/4qOqNliufTp0/k7OxMfD6fNmzYUK4TxxMTE0lHR4eGDx9OqqqqNGXKFDIxMVG4ztmbN2+od+/eBICcnZ0pODg4zzlqamq0du1ahe5TWYwZM4ZMTU0LrA2amZlJkyZNIvyPvbMOi2rrwvg7QQsISCrYoAiKiYHSoGArChbXvmFeu+vaeY1rBxigoFiAAYKCgaiooCgl3R0DAzOzvz/4mCuXhhkG9Pyeh8fxnH32Xmfy3WuvvRZA5s6dW68NSBEREUReXp6MGzeuyTlHt23bRlRVVZvUR33JysoiJiYmRExMjDg5OTXLmBQ/B+/evSN2dnaERqMRVVVVsnfvXpKXlydqswghhDx8+JDQ6XTSuXNnIi0tLZTYzaKiIgKAXL16VeB9U1DUBiUoWwEvX74kGhoaRE1NTWB5AhvCrl27iLi4OLG1tSXq6upk+/bthMlkNqokGCHlX3ibN28mkpKSpH379sTFxaVGgSwpKUmOHj3aFPNbBCwWi8jLy1db9ee/VMRVDho0qF5xlffu3SMAyM6dO5tk4+nTpwmdTiccDqdJ/dQXNptN5syZQwCQDRs2tMhKRxStAx6PR/z9/Ym1tTUBQDp37kxOnjzZorJCfPjwgbRp04Z07NixyYnLayMjI4MAIB4eHkLpn4KiJihB2YLh8Xjk1KlTRExMjAwdOlQkVUcKCwtJu3btyOjRowkA8s8//xB5eXnyxx9/NLgvHo9Hbty4QTQ1NYm4uDhZv359nYHoYmJi5MSJE401v8Xg6upKANS7znlwcHCD4io3b95MaDQaefDgQaNtvHv3LgFAkpOTG91HQ+HxeGTv3r2ERqMROzs7wmKxmm1sitYPl8sld+/eJUOGDCEAiL6+Prl69arAs040laSkJNKhQweirq4ukMTltREXF0cAkIcPHwptDAqK6qAEZQuluLiYzJ07lwAgv//+e7NUa6iOgwcPEiaTSbp160aGDRtGli9fTtq0adPgIPLQ0FBiampKAJCxY8fWe0MGg8EgJ0+ebIzpLYpRo0aRIUOGNOiatLQ0MmLECMJkMsmJEydqDXPgcrnExsaGKCgokJiYmEbZGBwcTACQt2/fNur6pnDr1i0iJSVFBg0aRFJSUpp9fIrWRVlZGbly5QrR09MjAMjQoUPJvXv3WmSe04KCAtK3b1+ioKDAz44hTMLDwwmAem/wo6AQFJSgbIHEx8eTgQMHEgkJCXLx4kWR2VFcXEzU1NTIoEGDCI1GI/fu3WtwicXs7GyyePFiwmAwiLa2NvH29m6QDTQaTaiz+eYgOTmZ0Ol0curUqQZf+31c5ezZs2tdwsvOziZdunQhBgYGpKioqMFjJSYmEgDk/v37Db5WELx584aoq6sTLS0t8uHDB5HYQNGyKS4uJv/88w/p3LkzAUBGjhxJnj592iKFJCHlwtfW1pZISUkRJpNJ5s6dK3Rb3759K7KJIcXPDSUoWxh+fn5EWVmZaGpqkuDgYJHacvz4cUKn04mMjAz59ddfybRp04iamhopLCys81oOh0NOnz5NlJSUiKysLNm/f3+Dvaw8Ho+fBLw1s3//fiIhIUFycnIa3celS5f4cZUJCQk1tvvw4QORkpIiM2fObPAPV2lpKaHRaCJ9vhMSEoiBgQFp06YN8fT0FJkdFC2L3Nxcsnv3bqKqqkrodDqZMmVKi68Rz+PxyO+//07odDqRkpIiNjY2zZLUPyAggAAg4eHhQh+LguJ7KEHZQuDxeOTQoUOEwWAQMzMzkp6e3izjFpaUkbCkXPIuLpuEJeWSwpLy2CM2m000NTVJly5diKKiIvH19a137E9gYCDp168fAUAcHR0bHZPH4XAIAHLhwoVGXd8S4PF4RE9Pj0yZMqXJfb1584ZoamoSFRUV8uzZsxrbXb16lQBoVBlFZWVlsmPHjqaY2WQKCgrI2LFjCZ1OJ3///XeL9T5RCJ+0tDSyfv16Ii8vT8TFxcn8+fMbvRmwuakoPiAnJyfwxOW18fDhQwKAxMXFNct4FBQVMJshMxFFHRQVFWH+/PlwcXHBypUrsXv3bjCZwntpItMKcDUoHn5f0xGfzcL3GQ9pALQUpaHCzUAqCyjLisE///yDnTt3okePHpg9e3aN/SYnJ2PNmjW4cuUKBgwYgJcvX2Lw4MGNtpPL5QJAq85DGRISgrCwMOzdu7fJffXv3x9v3rzBlClTYGZmhiNHjuD333+vkgd02rRpCA4OxvLly2FgYAAjI6N6j9EcuSjrok2bNrh16xbWrl2LpUuX4suXLzh69Gi9PxNFbA5is4pQyuFBnElHJyUZyEhQX3Wtibi4OBw4cADnzp0Dg8HAr7/+iuXLl6N9+/aiNq1e3Lx5EytWrICioiIUFBTg6emJNm3aNMvYLBYLAKg8lBTNDvUtK2Kio6MxceJEREVFwdXVFVOnThXaWAnZLKz3CEVAVCYYdBq4vKrJswmAuGwW4niS0Jh/EszMKEiraOHJkye4c+dOtT/qbDYbR44cwY4dOyAtLY1z585h9uzZoNObljefx+MBQJP7ESXOzs5QU1ODlZWVQPpTUVHB48ePsWrVKixatAhv377FP//8A0lJyUrt9u3bh3fv3sHOzg5v376FhoZGvfpXU1NDamqqQGxtCgwGA/v374eOjg5+++03REdH48aNG5CXl6+2fX0mSaY6KphuqIXuqrLNcg8UDefz58/Ys2cPrl27hrZt22LdunVYtGgRFBUVRW1avQkKCsL06dOhpKQEOp0u8MTldUEJSgpR0Xp/qX8AvL29MWDAALBYLAQFBQlVTLoGx8Pi8FO8iMkCgGrFZCXo5V5BnnI3bAkqQ9/Jf2DMmDFVmnl5eUFfXx8bNmzA/PnzERERgblz5wpEBLZ2QVlWVoZr165h+vTpAvU4i4mJ4ciRI3B2doaLiwtGjBiBxMTEKm1u3LgBOp0OOzs7lJaW1qvvluCh/J558+bhwYMHeP36NYYOHYpv375VOp+QzcLM80GwPPIMl4PiEPcfMQn8O0m6HBQHyyPPMPN8EBKyWc12DxR1ExQUhPHjx6NXr17w8/PDgQMHEBcXh82bN7cqMRkTE4PRo0dDRkYGxcXFuH//Prp169asNlQIyv9OMikohE3r/KVu5fB4PPz111+wtbXFsGHDEBwcDD09PaGNd9wvEmtvhYLN4dUtJP8DjwCEzkR2t1E44R/FPx4ZGYnRo0fD1tYWWlpa+PjxIw4fPoy2bdsKzO7WvuTt7e2NjIwMzJo1Syj9z5w5E4GBgUhNTUX//v3x7NmzSudVVVVx8+ZNBAcH488//6xXny1NUAKAubk5Xr58CTabDUNDQ7x48QJAwydJFedfxGTB4vBTuAbHC9dwilohhODx48cwMzPD4MGDER4ejvPnzyM6OhrLli2DjIyMqE1sEDk5ObCxsUFZWRny8vJw48YNDBo0qNntYLFYkJKSarUTcYrWC/WOa2by8vIwceJEbNq0CZs3b8bdu3cFKsL+i2twPA48imhSHxUxegceRcApIAJr165Fr1698OnTJ9y6dQuPHz+Grq6uIMytRGv3UDo5OcHAwAC9e/cW2hj9+/fH27dvoaurC3Nzcxw/frxSHfDBgwfj2LFjOHHiBJycnOrsr0JQkjpqiTc3PXr0wKtXr9CjRw+YmZlh/pGbjZ4kcXkEbA4Pa2+F4rhfpJAspqgJHo+HmzdvYuDAgbCyskJeXh7c3Nzw+fNnzJkzB+Li4qI2scGw2WxMnDgRCQkJyMvLw6lTp2BraysSW1gsFrXcTSESqBjKZiQ8PBzjx49Hamoq7t69W+0SsiBJyGZh4/VXyHnuBnbSF5SmRIJw2AAAGT1ztBu9vMo17NQo5AW6gJ34GbyyEoi1VYOMninkBk0AjcHE5rufkOnsgo0bN2LVqlWQkpISmv2t2UOZlZWFe/fuYd++fUIfS1lZGY8ePcLq1auxePFivH37FidPnuQveS1YsACvX7/Gr7/+Cn19ffTr16/GvtTU1MBms5GXlyfUiU5jaNeuHR4/fowxy3bjcZpglvMOPIqAchsJTB2oJZD+KGqmtLQUV69exd69e/H161eYmJjg4cOHsLS0rLKxrDVBCMH8+fMRGBgIDoeDLVu2YN68eSKzhxKUFKKCEpTNxK1bt+Do6AgtLS28efMG3bt3F/qY6z1CUZKbhvxX7vVqX/ztHdLdtwNcDv9YWVYCcp86oyQ+FCp2W0FjMDFqsxM2/2EiJKv/pTV7KF1dXUEIwbRp05plPDExMRw+fBj9+vXDggULEBYWhlu3bkFTUxM0Gg0nTpzAx48fMXHiRLx9+xZKSkrV9qOurg4ASElJaXGCEgDSi7iIa2cIcLgo325TGcIpQ/5rDxR98kNZbiroYpKQ0OwF+WH2kFCrPpZt891PGNq1HTQVqR9hYVBUVIRz587hwIEDSExMxNixY3Hp0qUmZYBoSWzbtg2XL18Gg8HA3LlzsWXLFpHaQwlKClHR+n6pWxlcLhfr16/HpEmTMHLkSAQFBTWLmIxMK0BAVCZ4NCYkNPUgN3gyZHpb1tieV8ZGlucRvpiUHzoVyhPWQ0y5IwCg5FsICkO8ARodbxKLEJVeIPR7aM2C0snJCaNGjWrW3Z1AeVzl8+fPkZ6ejv79++Pp06cAygP0b968iaKiIjg4OPC9v/9FXV0dNDFJBEUkISQ+B5+S81DE5lTbVhSs9wgFh0dQrZjkcZHuthW5z5xRlpUAcMvAKylAceQrpF5eheLY99X2yeERrPcIFa7hPyHZ2dnYvn07OnbsiBUrVsDU1BShoaG4c+fODyMmnZycsG3bNoiLi8Pa2hqnTp0SubeVEpQUoqL1/VK3IrKysmBjY4O9e/di3759uHHjRrPlIrsaFA8GnQbxdlpQm74HCia/QEK9ZiFbHPUa3MJsAIBk535oO2ImpHWGQmnkYn6bgvfeAAAGnYYrr4S/oaG1LnmHh4cjODgYjo6OIhm/X79+ePPmDfT09GBhYYFjx46BEAItLS24urrC19cXmzZtqnRNZFoBtt79hNm34qD5pxu2vmJjwskXsD0WCL2tD2G83w9b735CZJrwJxI1UTFJqilmsuCdJ0riPgAAxJQ7QnnCesgP/X/mBG4ZsjyPgHDKqlzH5REERGU2yyTpZyA5ORkrV65Ex44dsXv3btjb2yMqKgrOzs5C3XzY3Dx58gRz586FlJQU+vTpgxs3bgg1f3B9oQQlhaigBKWQeP/+PQYMGIC3b9/i4cOHWLVqVbPOXP2+pjdoswI78TP/sUT7nvzH4urdAXr5l2RZRhy4JYXg8gj8ItIFZ2wNtFYPpZOTExQUFDB69GiR2VARV7l48WIsWbIEs2fPRnFxMczNzbFnzx7s3r0bt27dqpJ2JyGnpMr7tKWk3amYJNVEYYg3/7HSyMWQ1hmKtiNmQrJzecwotyATrKjX1V7bXJOkH5moqCgsWLAAnTt3xtmzZ7F48WLExsbi+PHj6NSpk6jNEyifP3/G+PHjISEhAQ0NDdy/f7/F7EqnBCWFqGhdv9SthCtXrmDo0KFQUFDAmzdvYGFh0azjF7I5iG/gDz4nL43/mCHTlv+YRmeALvWvV5WbW94uPosl9KXQ1igouVwuLl++DAcHB0hISIjUFiaTiUOHDuHy5cu4fv06hg8fjoSEBKxcuRKTJ0/Ggr2XYH7Iv9Wk3altksQtLihf5gYAOrN8IvR/vp8gsRM/VX99M02SfkTev38Pe3t76Ojo4M6dO9i2bRvi4+Oxa9cuqKqqito8gZOamoqRI0eCy+VCWlq62ROX1wUlKClERev5pW4FlJWVYenSpZg5cybs7Ozw/PlzkczM47KKqiR3rgtSVsJ/TGNUXrahMcT4j3n/b0cAxGYVNdbEetEal7x9fX2RnJwssuXu6pgxYwaeP3+OjIwMfr7KwXO3oo3ZQpS2krQ7dU2SKk2IpGRBo//7nmHI/Ftdh5ObhppojknSj0RAQABsbGzQt29fBAUF4dixY4iNjcXatWtrrGjU2mGxWBgzZgzS09NBCIGnp2ezJy6vC0pQUogKSlAKiNTUVJibm+Off/7B8ePHcenSJaGm1KmNUg6vwdfQxP5Nw0K4lePMvv8//bt2jRmnIbRGD6WTkxN69OiBgQMHitqUSlTEVerr62PMsj049jS2/EQTwzAOPIrA9WbwVNY1Sfp+QoT/TojozOrb/bcPCH+S1NqpEFFGRkYYMWIE4uPjcfnyZURGRuL3338X2Xdec8DlcjFt2jS8f/8eHA4Hbm5uIklcXheUoKQQFaKPIP4BePXqFSZNmgQejwc/Pz8YGRmJ1B5xZsMFGFP+36UpblEu/zHhccEr/nezAqPtv+0aM05DaG0eyvz8fHh4eGDz5s0i3+lZHcrKyjjn6gGTv+4hx/9SvXOTVsBO+oLUK6sBUi70pXsOh/K4Nc2SdqeuyUutEyIep9p2jRnnZ6VCQO3ZswcfP37E4MGDcefOHYwePbpVTfiawsqVK3H37l0QQnD27FmRJS6vC0pQUoiKn+OboBaK2Bx8Ss5rdIqUM2fOYMSIEejUqRPevn0rMjHJ4/Hw6dMnnD59Gn+tWQo0sNKJRId/K92wk8L5j0tTIgBeubATU+4IhmR5PCUNQCcl4QahtzYPpZubG0pKSjBjxgxRm1Ijm++Gg1uUjfxX7mAnhPHFZF0QbhmyvI/yxeT3NEfanbomL99PiHjFBSC8f9MicQtz/m3XtvaYPmFPklobJSUlOH36NHR0dDBt2jSoqanBz88PL168wNixY1vNZ7OpHDt2DEeOHAEhROSJy+uCEpQUouKn9FBGphXgalA8/L6mIz6bVWkpjQZAS1EapjoqmG6ohe6qstX2UVJSgsWLF+PcuXP47bffcOTIkWYtGVZaWoq3b98iMDAQAQEBeP78ObKzs8FgMNCvXz/IaBSjiCYNXlkJiqPflF+TFsO/npOfjqIvgQAACXVtSHUbBEYbRXALs1HyLQQ5T50hodYNuQFX+NfIGoziP9ZSkoaMhHDfPq1NUDo5OcHCwgIdOnQQtSnV8t/cpBLte4DLykPRx8d1Xpv30g1lmfGgMcVBOKWVzn2fdqebSvWfl6bSQb72DU4MKVmIKWmWb8zhcVGaEsHfjMNO/sJvJ9GhV419NMckqbWQn5+PU6dO4fDhw0hLS8PkyZNx48YN9O/fX9SmNTv37t3D0qVLQafTMXv2bJEnLq8LSlBSiIqfSlAmZLOw3iMUAVGZYNBp1W5G+D5FyqWXsRjerR12TdCvtJyXkJCASZMm4ePHj7hw4QJmz54tdNvz8/Px8uVLBAQEIDAwEEFBQSgpKYG0tDSGDBmCJUuWwMjICIaGhmjTpg223v2Ey0Fx4BTlIfP2nir9seNDwY4v9yop2SxDm94WULJdxq+Uk//yRqX2kp37ok3fckHJoNNgqi38XY2tack7JiYGAQEBuHLlSt2NRcR/c5MCQEGIV52CsjQzHnkvb4DGlIDcoPHIe3G9SpuKtDtbx9Ys2BpKeno6Hjx4AC8vLzx8+BDSU/dBTEGjxvZt+o5Cjs8ZAECW9zG0HT4D7LRolHwLKbdRth2ku9Uc89Yck6SWTkZGBv7++2+cOHECRUVFmDVrFlavXg1tbW1RmyYS3r59iylTpoDBYMDS0rJFJC6vC0pQUoiKn+bb0zU4Hlvufvp/lY2Gp0jZNrYX7Adqwd/fH1OmTIGkpCQCAwMxYMAAodibkpLCF48BAQH4+PEjeDwelJWVMXz4cOzatQtGRkYwMDCAmJhYleunG2rh0svYBo0p1bkf1GYeQF7gtf/X8mZXruX9/52zXB7BjMHCr33cmjyUly9fRps2bTBhwgRRm1IjDc1NCgCE8JDtfRTgciBvOgsMKblq21Wk3dmKxgtKHo+Ht2/fwsvLC56ennjz5g0IIRg4cCCWLl2K1PZd8Ti2pMZ7kO1ni+LIIJTEfUBZZjwyPHb9e5IhBiXbZaAxq35WgOabJLVU4uPjceDAAZw7dw40Gg0LFy7En3/+2WK97c1BXFwcPz1Qnz594Obm1iISl9cFJSgpREXL/3QIgON+kTjwKKJR13J5BFwewdpbobjz0A9uW+fC2NgYrq6uUFZWFoh9hBB8/foVgYGBfAEZE1O+PN21a1cMHz4cixYtwvDhw9G9e/d6zZC7q8pieLd2eBFDQ8e19+tti4RaN6hM3lzjeQadhqFdlIS2tPk9rcVDSQiBs7Mz7OzsWuwXeWNykwJAwVtPsJO+QFytG+QGjkNRmF+NbSvS7jTEy5eTk4PHjx/D09MT3t7eyMjIgLy8PKytrbFo0SJYW1vzcxlGphXgwZFnNfZFozOgYrcV+a89UPjpCTi5aeW1vDvoQt7IocZa3kDzTZJaGuHh4di7dy+uXr0KWVlZrF69GosXL66x1vvPQl5eHqytrZGXl4f27dvDy8urxSQur42ysjKUlZW12O8hih+bH15QugbHN1pM/peXRe0w/s+9cN21tEkz1bKyMoSEhPDFY2BgIDIzM0Gn02FgYIDRo0dj+PDhGDZsGNTV1Rs9zq4J+rA4/LTBXqnaYNJp2DVBX2D91UZr8VAGBgYiJiYGFy5cELUpNdKY3KScvHTkPnMG6AwojVpSKbdjdVSk3emlUXMOQkIIQkND4eXlBS8vL7x48QJcLhf6+vqYO3cubGxsMGTIkGo/X/9OkrJqfE/TmGKQHzoF8kOn1Ps+m3OS1FIIDg7G7t27cfv2bairq2Pv3r1YsGBBs5WGbcmUlZVhwoQJiIqKgry8PB4/ftyiEpfXRnFxMQBQgpJCJPzQgjIhm4Utd6tWxihNj0V+kDvYqVHgFuaAlJWALiEDcZVOaNPbCjK9TGrokSBUQhcp+aXQVKz/U1dYWIhXr17xxeOrV6/AYrEgJSUFQ0ND/PbbbzAyMsLgwYMhJ1f9kmJj0FSUxraxvbD2luB24G4f20uo6WG+p7UISicnJ3Tq1AnDhw8XtSk10ph0ODlPnUBKiyE3xA7iql0aPU5hYSF8fX35IjIxMREyMjKwsLDAP//8g1GjRkFTU7Ne/bf2SZIoIYTgyZMn2L17N3x9fdG9e3ecOXMGM2fOFHlVp5YCIQQLFiyAv78/JCQk4O3t3eISl9cGi1W+CkEJSgpR8EMLyvUeofyYye8pTf+Gok/+lY7xivNREvcRJXEfwclPh/yQ6jwcNH6KlMtzDWscNy0trdLy9fv378HlcqGkpAQjIyNs27YNRkZG6Nevn9B3htsP1EJmIbtpXlpCABoNuc8ug6M3Bhg4XXAG1kJrWPJmsVi4ceMGli9f3qKFb2PS4XALyksy5r90Q/5LtyrnWeEBiAsPgPLEDZDWHsIfhxCCyMhIeHp6wsvLC8+ePUNpaSm0tbUxefJk2NraYvjw4Y0SMa19kiQKeDwe7ty5g927dyM4OBh9+/bFjRs3MHHixBb92RIFu3btwqVLl0Cn0+Hu7t4iE5fXRlFReWJ+SlBSiIIfVlBWpEipDoZUG7TpYw0JTT0w2iiAV1KIguDbYCeVpxcpeHOvBkFZNUUKIQRRUVGVlq8jI8vL0XXu3BlGRkZYsGABhg8fDh0dHZGIjkWm3dGujQQ23Q5FaRmnSmnF2mDQaWDS6cCbGyh7fw8zZ95ASUkJ5s6dK0SLy2kNHsrbt2+joKAAs2bNErUptdJJSQY0oMHL3g2CEGxa9is+vH2NmJgYSEhIwNTUFAcOHMCoUaME5ukRyCTp/6yy0sHUgT9m7GRZWRmuXbuGvXv3Ijw8HMbGxnjw4AGsrKxa/E5lUeDi4oKNGzcCKM8v3FITl9cG5aGkECU/rKCsSJFS3dKYVNeBkOpauTSemIIGUi4uAQDwSotr7ZtOA1aevgvmBw8EBgYiLS0NNBoNvXv3hpWVFXbs2IFhw4a1qB2S9gO1cGnPOnyV7w+iqgPC49YaE0enATwCDO2ihF0T9MEo6YMhQ56goKAA8+bNQ0lJCf744w+h2lzhoWzJgtLJyQlGRkbo2rWrqE2pFRkJJrQUpRGXzap3blLZ/qP5nscK2CkRYH1+CgAQV+0KGT0ziCl3AgCU5aTAw80VTCYTBgYGGDduHKysrDBgwACBe+IrJknrb4aAS2h1xnd+T/kkiYbtY3v9kGKSxWLh3LlzOHDgABISEjBmzBicP38eQ4YMqfvin5SAgADMnDkTALBly5ZmmTALA0pQUoiSH1ZQ1jdFCiE8cAtzUPDem39MUqv2eCoeAd4kFaNLejrmzp0LIyMjDB06FPLyNW9GEDXv3r3Dw1vX4ORkjb2nDoOuPQKKesMRn1U1sTsnLxU6bQlOLJ/63UYFaTx69Ii/UWjRokUoLi7GypUrhWZzhYeypS7LJSUlwcfHB6dPnxa1KfXCVEelwblJ/0vhRx++oGQqakBu4DgAAA0E4w214Tg3CE+fPoW/vz8OHTqEbdu2QUpKCsOGDYOJiQlMTEwwcOBAgQhMzdIEJJxaiOF//oOYYkaNE8gKKs5XTJJ+tGXunJwcnDhxAn///TdycnJgb2+PNWvWQF//x48PbQoRERGwtbUFj8fDnDlzWnzi8tqgBCWFKPkhBWV9U6SkOK9AafLX747QINV1AJRsltZ5rZiCOrwfP2k1iZC3b9+O7t27o6ysDJ9f+uLV4Z0wNDREEZuD2KwilHJ4EGfS0UlJBot+nY8Xvi/QdWflWbqOjg68vb1hYmKCbt26YdWqVSguLsbGjRuFsoTW0pe8r1y5AnFxcdjZ2YnalHrRmNyk9YWAhuWj+6GbiiwGDRqEVatWgcPh4P379/D394e/vz/27duHjRs3QkpKCkOHDq0kMBsaT8nlcrFo0SL01daCz8bxiM4oKq9+FZFe7SRJS0kaptoqmDFY64fbzZ2SkoLDhw/j1KlTKC0txZw5c7By5Up06VK/jVQ/MxkZGTA3N0dRUREsLCxw+vTpVh0OUCEoW0OKI4ofj9ahhhpIY1KkAABoNIDOqFcd7PqkSGkphISE4M6dOzh79iy2bt0KOzs7GBqWbyqSkWBWuQc7OztcunQJoaGh6N27d6VzAwcOhIeHB2xtbdG3b19s3rwZxcXF2Llzp8C/iFvyphxCCJycnDBhwoQW7Zn+nsbmJv2eNr0tqngua0q7w2QyMWDAAAwYMAArV64El8utJDD379+PTZs2QVJSspLAHDRoUJ0C88yZM3j//j1evXoFOp2O7qqy2Dq2F7aiV7WTpNYy8WsI0dHR2L9/Py5dugRxcXH8/vvvWLZsGdTU1ERtWquguLgY1tbWSE5Ohp6eHjw8PFpF4vLaoDyUFKKkZbp+mkh9U6QojVwE1Wm7oTR6RXndX8JDceSr8vKDAhxH1Gzfvh3dunVDRkYGUlNTsWvXrlrbW1hYoG3btnBzq7qzFwCsrKzg5OSEkJAQmJqaYvfu3fjzzz9B6iHEG0JL9lC+efMG4eHhcHR0FLUpDWLXBH0w6YIV/vVNu8NgMNC/f3+sWLEC9+7dQ3Z2Nt6+fYudO3dCRkYGBw8exIgRI9C2bVuYmZlh+/btePbsGUpKSir1k5WVhY0bN2L27Nn8idH3VEyS+mopoJeG/A8nJj9+/Ihp06ZBW1sbt27dwubNmxEfH489e/ZQYrKe8Hg82Nvb4/3799DQ0MDjx49/CK8eJSgpRMmP9U37f+qbIkVcpTP/sbTOECT+PQ2EU4rS1EiUZSdBTLF9rdc7XTyPz93U0aVLF3Tt2hXKysotbrnkw4cPuH37No4fP44NGzbg119/rXO3rbi4OMaNGwc3Nzds37692nuaNm0aMjIysGzZMkycOBFHjhxBSUkJTpw4ITAB2JIFpZOTEzQ0NGBhUTXOsCWjqSiNrWN6YZ2H6NPuMBgM9OvXD/369cOff/4JLpeLjx8/8j2Yhw8fxpYtWyAhIYEhQ4bwPZhXrlwBl8vF7t27BXYPrYHAwEDs2bMHnp6e0NLSwt9//405c+ZQ4qERrFy5Enfv3oWcnBz8/PxaTeLyumCxWGAymdWW46WgEDY/pKCsK0UKr4wNulh1S2r/CideSWHtgxAClzNH8XdyAv+QjIwMX1x26dKl0uOOHTuKJHnw9u3b0bVrV0RGRoLH42HTpk31us7Ozg5OTk4ICwurMah/6dKlSE1NxZ49ezBv3jycPn0aJSUlOHfunECWqVvqkjebzYaLiwvmzZvX4myriby8PPj4+MDLywve3t4o6jQcCsaz+DlGG4sg0+4wGAz07dsXffv2xfLly8HlchEaGsoXmH///Te2bt0KoLwk6cmTJ2FiYoLBgwdDUlJSIDa0NAgh8Pb2xu7duxEYGAhdXV04OzvD3t6eEg2N5OTJkzh8+DDExcXh4+PTqhKX1wVVx5tClPyQgvL7FCnVkeq0HOIaOpDsoAuGnDJ4rDwUvPME4bABADSmBMSUaq/cwc1PwzDDATAyWoZu3bqBy+UiJiaG/3fv3j3ExsairKysvE8aDZqamlWEZsVjRUVFgXs3P378iFu3bmHv3r3YuHEjtmzZUu+ZuKWlJeTl5eHm5lbrLtFdu3YhPT0dly5dwsqVK3Ho0CGUlJTA2dm5yT94LdVD6enpiezs7Ba93E0IQXh4OLy8vODp6YnAwEBwOBzo6upi+vTpsLGxQZJkR+zw+grO/+vV17tvLgc0EOye3BcOgzoK7R4YDAYMDAxgYGCAZcuWgcvlon///khLS0OvXr1w7NgxbNu2DeLi4hg8eDBMTExgbGyMIUOGQEpKSmh2NQdcLhdubm7Ys2cPPnz4AENDQ9y+fRtjxoxpcZ+H1oS3tzf++OMP0Gg03Lx5EwMHDqz7olYEJSgpRMkPKSiBf1OkVPdDySstQdHHxyj6+LjaaxXM5oAuUfOHkk4DeirSkBGagTVr1oDD4UBTUxMWFhawsLDA5s2boaqqCi6Xi6SkJERHR/OFZnR0NEJDQ3Hnzh1kZWXx+5STk6vRu6mlpdUocbZ9+3Z07twZ7969Q7t27bBs2bJ6X/v9sve2bdtqFLs0Gg2nT59GRkYGTpw4gR07dmDLli18L15TvLItNQ+lk5MTBgwYAF1dXVGbUgkWiwU/Pz9+hZq4uDhISUnBzMwMf//9N0aNGoXOnTtXusZYRw3rPUIREJVZ77Q73JRwpN07gkzNDcCgxcK+LT7Xrl3Dhw8f8OTJE5iamoLH4yEsLIzvwTxx4gS2b98OcXFxGBoaVhKYreVHls1mw8nJCfv27UN0dDQsLS3x5MkTmJiYtLhwmtbGhw8fMH78eBBCcObMGYwePVrUJgkcSlBSiBIaEfROihZCZFoBLI88q/Zc/tt7KI56jbLMBHBZeQAIGG2UING+B2T7joKkpl6d/fssH4FuKrIoKChAQEAAfHx84OPjg9DQ8tg0fX19mJubw8LCAiNGjICsbNVUJXl5eZWE5veP4+LiKi35amlp1ejdbNu2bZW+K3Zob9q0CTt27MDZs2cxb968+j+BAO7fv48xY8YgNDQUenq1PycsFgtWVlb48uUL/vrrLyxbtgxmZma4efNmo71Ft27dwqRJk5CVlQVFRcVG9SFoMjIyoKGhgcOHD2PRokWiNgfR0dH8Gtl+fn5gs9no3LkzbG1tYWtrC2Nj43o9/5FpBTWm3QGAjt+l3fkQ8AiTJ0+GuLg4QkNDoa2tLZyb+478/Hzo6OhgxIgRuH79erVteDwePn36xBeYT58+RVZWFsTExCoJzKFDh7a4H92CggKcPn0ahw4dQmpqKiZOnIi1a9diwIABojbthyAxMRG9e/dGTk4O1q9fj507d4raJKGwdOlSPHnyhP87REHRnPywghIAZp4PwouYrAYt59VFRYqUmmp5p6am4smTJ3yBmZCQACaTicGDB/M9mIMGDarT48jhcJCQkFBFaFb8m5eXx2+roKBQRWhevXoVUVFR/N3dHz58aHBKDDabDRUVFSxbtgzbtm2rs31OTg6GDx+O/Px87N27F3PnzsWQIUNw9+7dRu2gdHd3h52dHXJycqoVzaLg6NGjWLlyJZKTk9GuXbtmH5/NZiMgIIC/lB0REQExMTEYGxvDxsYGNjY20NbWbpI3qyLtTkJSCsaOtoHruWOYOObfMnSEEIwaNQo+Pj7o168fXrx4IfR0KytXrsTJkyfx5csXaGrWHo5SAY/Hw+fPnysJzMzMTIiJiWHQoEGVBKaodvhmZmbi6NGjOH78OAoKCjBz5kysXr0aPXr0EIk9PyIFBQUwMDBATEwMpk2bhitXrvyw3t758+fj48ePCAoKErUpFD8hP7SgTMhmweLwU7AFmN5HgkmHz3Ljeu1qrajzXSEunzx5gtzcXLRp0wYmJiZ8D2avXr0a/AWXnZ1do3czISGBH38IAOrq6tDX168iOrt06QI5Oblax5k1axbevHmDz58/18uupKQkDB06FLKystizZw8cHBzQp08feHl51TnWf7l+/Trs7e2Rn59frYdXFPTv3x9aWlrw8PBotjETExP5XkgfHx8UFRWhffv2fAFpbm4ulOeHy+VCWloaBw4cwOLFlZe2Y2NjoaOjg7KyMuzcuRPr1q0T+PgVhIeHo3fv3ti6dSs2bNjQ6H54PB7Cw8MrCcyMjAwwmcwqArNNmzYCvIOqJCQk4ODBgzh79iyAciGwYsWKeotlivrB4XAwYsQIvHz5EiNGjICvr2+rzzVZG9OnT0dycjL8/PxEbQrFT8gPLSgBwDU4HmtvCc79v3eifqN3tXK5XLx7944vMAMDA1FaWgo1NTW+uDQ3N2/yj8rkyZPx4sULSEhIgMlkYty4cZUEZ2HhvzvY27VrV2PsZvv27eHp6YmxY8ciLCwMvXr1qtf4X758gZGREXR0dLBz506MHz8eOjo6ePDgARQUFOp9Hy4uLpg2bRoKCwtbRI64ih3vHh4eGD9+vNDG4XA4ePnyJV9Efvz4EXQ6HUOHDoWNjQ1sbW2hr6/fLF4WHR0d2NjY4PDhw1XO7du3D2vWrAGTycSbN2/Qp08fgY9PCIG1tTWio6Px6dMnge7mrti4VCEu/f39kZ6eDiaTiYEDB/IF5rBhwwQmML9+/Yq9e/fiypUrkJGRweLFi7FkyRKReLt/dAghmDFjBq5duwYdHR28ffu2RXyPCJMJEyagtLQUnp6eojaF4ifkhxeUAHDcLxIHHkU0uZ9VVjr4w1RwKSZYLBaeP38OX19f+Pj44N27dyCEQEdHhy8uTU1NG7Tc+/nzZ+jp6cHR0RGXLl1CUFAQBg0axD9PCEFmZmaN3s2kpCR+gnJxcXF06tQJMTEx6Nu3LxwcHCp5N2v7cg4KCoKZmRnMzMywadMm2NjYQFNTE48ePYKysnK97uXKlSuYOXMmWCxWi9i1u2rVKly8eBHJyckCqUX9Penp6Xjw4AG8vLzw8OFD5ObmQllZGaNGjYKNjQ2srKwaJMYFhY2NDZhMJu7evVvlXFlZGfr27YuYmBh0794dr1+/FnhqLA8PD0ycOBH37t0T+iYKQgi+fPlSSWCmpaXxK/58LzAb6hF++/Ytdu/ejVu3bkFNTQ1//vknFi5c2GI87z8iW7duxbZt26CiooLQ0NAfJtdkbVhbW0NOTq7GohQUFMLkpxCUQLmncsvdTw1OkQIeFyA8/DWhN2YMEW5t3KysLPj5+fE9mNHR0aDT6RgwYAA//nLo0KG1/mg7ODggMDAQADBkyBDcuHGjQTaUlJQgLi6uktB0c3NDRkYGGAwGvxIDAKiqqtbo3VRTU8OjR48wZswYzJw5E8uXL4elpSWUlJTg4+MDdXX1Om1xdnaGo6Mj2Gy2wAVcQ6nYyW9nZ4ejR482uT8ej4e3b9/yYyHfvHkDQggGDhzIX8oeMGCAyHe4L168GE+ePMGnT5+qPf/y5UsMHToUDAYDq1evrrMKU0NgsVjQ1dVFr169ROJxIYTg69evlQRmamoqGAxGJYFpZGRUrTAkhMDPzw+7d++Gj48PunbtitWrV8PR0VEkOWl/Jq5evYoZM2ZAWloaHz9+RNeuXUVtUrMwfPhwdOnSBU5OTqI2heIn5KcRlEB5TGVDU6T0URXH451zsGD6JBw5cqT5jAXw7ds3+Pr68j2YmZmZkJKSwvDhw/keTAMDA77oCA8PR69evTB+/Hjcu3cP4eHhAknae/fuXYwbNw5hYWFQUlKq0buZkpLCv0ZSUhJdunSBhIQEQkJCYGFhgUmTJmHLli2QlZWFn59fnUv7ly5dwuzZs1FWVibyuCdvb2/Y2NjgzZs36N+/f6P6yMnJwaNHj/jJxTMyMiAvLw9ra2vY2Nhg5MiRUFVVFbDlTePw4cNYv349WCxWjUvsv/76Ky5evAgOh4PAwEAMGTJEIGNv3boVu3fvRlhYGLp37y6QPpsCIQQRERGVBGZKSgq/pKSxsTFMTEwwdOhQ+Pv7Y/fu3Xj9+jX69OmDdevWYfLkya0mEX5rJjAwEMbGxqDRaHjx4kWlFZofnf79+2PQoEE4efKkqE2h+An5qQRlBbWlSKEB0PouRUo3FVkcPXoUS5cuxd27dzFmzBiR2Mzj8RAaGsr3Xj579gwsFgtKSkowMzODhYUF39NVWFgIR0dHgXjSgHKvpYqKClasWIEtW7bU2I7FYiE2NraK0Hzz5g3S0tIqta2oitKrV68q3k0VFRXQaDScP38e8+bNA5fLFbmnzt7eHmFhYQgNDa137CIhBKGhofxYyBcvXoDL5UJfXx+2trawsbHBkCFDRC6Wa6NiMpGUlAQNDY1q2+Tk5EBHRwdcLhdKSkoICQlpcqxabGwsevbsiWXLlrXYEouEEERGRvIF5pMnT5Camso/36FDB8ybNw9Lly5tMVkKfnSioqKgr6+PkpIS3L59G+PGjRO1Sc1Kz549YWNjg4MHD4raFIqfEfKTU1hSRsKScsm7uGwSlpRLCkvKqrTh8XhkzJgxRElJiSQmJorAyqqUlJQQf39/snHjRjJ48GBCp9MJACIpKUnExMTI2bNnSUZGhsDGmz59OunVq1ejr1+1ahUBQDZu3EgOHjxIFBQUiJSUFOnbty9RUVEhKK+USQAQGRkZoq+vT/r06UMAkOPHjxMvLy/y9etXUlJSIrB7qi85OTlEQkKC7Nu3r862BQUF5Pbt22TBggWkQ4cO/PsZN24cOX36NImPj28GiwVHWFgYAUCePXtWa7urV68SAERCQoIsWrSoyeNOmDCBtG/fnhQUFDS5L2HDYrHIsWPHSMeOHQkAoq+vTywtLYmGhgYBQOh0OhkwYABZsWIFuXfvHsnNzRW1yT8kWVlZpF27dgQAOXLkiKjNEQlaWlpk48aNojaD4iflpxeU9SUjI4NoaGgQY2NjwuFwRG1OFaZMmULatm1L6HQ6UVZW5oszAwMDsnLlSvLgwQNSVFTU6P5v375NAJDPnz836noej0ccHR0Jk8kkDx48IMnJyaRnz55EVVWVhIWFkYKCAvLx40fi4eFBDh48SP744w+iq6tLABAxMTH+/dBoNKKpqUlMTEzInDlzyF9//UWuXbtGgoKCSEZGBuHxeI2+x5o4ffo0odPpJDk5udr7+vLlCzl06BCxsLAg4uLiBADR1tYmy5YtI48ePRKJCBYURUVFBAC5dOlSre14PB6xsLAgioqKBADx8fFp9JgPHz4kAIiLi0uj+2gOcnJyyM6dO4mysjKh0+nEwcGBfPjwgX+ex+ORyMhIcvbsWTJjxgzSvn17vsDs378/+fPPP8ndu3dJTk6O6G7iB6GkpIRoa2sTAGTJkiWiNkdktGvXjuzatUvUZlD8pFCCsgH4+/sTOp1Otm/fLmpTKvH161e+F0RDQ4MUFRWRxMRE4uTkRGbOnEnU1dUJACIuLk5MTEzIX3/9RV69ekXKyqp6Y2uiuLiYyMrKkm3btjXaztLSUmJra0tkZGRIUFAQSUtLI7179ybt2rUj7969q9S2sKSMbD58hkhr6pKPCdkkPCqG+Pn5kfPnz5P169cTe3t7MmjQIKKkpFTJuyknJ0cMDAzIxIkTycqVK8nJkyfJw4cPSWRkJCktLW2U3UOHDiUjR47k/5/FYhFvb2+yePFi0rVrV75nztramhw9epRERkY2+jlqiairq5NNmzbV2S4yMpKIi4uTjh07Ek1NzUZ54thsNtHR0SHGxsZCmRwIgpSUFLJmzRoiJydHxMXFycKFC0lUVFSd1/F4PBIVFUXOnz9PZs6cyfdg02g00q9fP7J8+XJy584dkp2d3Qx38ePA4/GIqakpAUDGjh3bYt83zYG0tPRP652lED0/ZQxlU9iyZQv++usv+Pv7Y/jw4aI2B0B58vEHDx4gIyOj2hKL5P/pUCriL/38/FBQUAA5OTmYmpryd5Dr6OjUGh84ffp0fPz4sUllvVgsFiwsLBAREYHnz59DWVkZ1tbWiIqKwrkb9xFa3BZ+X9MRn11NbKuiNEx1VDDdUAvdVf/dVZuXl4dv375VW1UoLi4OHA4HQHlN8IoSlhXxmt/vUK8uLU9kZCS0tbVx9OhRMJlMeHl5wdfXF8XFxdDS0uLHQpqamv6wOe6MjIzQqVMnXLlypc62O3bswLZt2yAlJYVJkybh0qVLDRrrwIEDWLNmDUJCQtC7d+9GWiwcvn37hv379+PChQsQFxfHb7/9hmXLltUrY0F1EELw7ds3/gYfPz8/JCQkgEajwcDAgL/JZ/jw4S2m9GhLZN68eTh//jz69euHoKCgFh2TLEwIIaDT6Thz5gzmz58vanMofkIoQdlAOBwOzMzMEBsbi/fv34v8iz4iIgI9evRAt27dICYmVq8SixwOB8HBwXyB+fLlS5SVlaF9+/Z8cWlubl7lh/L27duYMGECwsPDm1QaLjs7G8OHD0dhYSFevHiBXA4TE3fdAFuxC+g0oLasThW774d3a4ddE/TrrFhUUcKypp3pubm5/LYVJSy7dOmCTp06gcfjwcvLC1++fAEhBEwmE0ZGRvy0Prq6uj9sCbfvcXR0REREBF6+fFlnWzabDQMDA3A4HERFRTVoY0RKSgq0tbUxe/ZsgW0oEwRhYWHYs2cPXF1doaCggGXLluH3338XeF5QQghiY2MrCcz4+HjQaDT06dOHLzBHjBgh8u+dlkJFcn1NTU2Eh4f/sJO6+lBcXAxpaWlcuXIF06dPF7U5FD8hlKBsBAkJCfwv+Fu3bolUVDg6OuL+/fvIzs5udPLnoqIiBAQE8AXmhw8fAAC9evXii0tjY2OIiYlBRUUFq1evxqZNm5pkd2JiIoYOHQopPQugvx04XB64DXgnMug0MOk0bBvbC/aNrFwElO9QrhCX79+/R2BgIL58+YLMzEx8/9FgMBjQ0tJC9+7dq+xKr08Jy9bM9u3bcfz4caSnp9er/dOnT2FiYoI+ffogJSUFYWFh9UpmP3PmTDx48AAREREiSeL+X168eIHdu3fj/v370NTUxMqVKzFv3jxIS9dddlVQxMbGVkpTFBsbCxqNBn19fZiYmPAFppKSUrPZ1FK4efMmJk+eDDk5OURERLS4lFvNTVZWFtq1a4dbt25hwoQJojaH4ieEEpSN5M6dOxg/fjxOnDiB33//XSQ2REVFQUdHB6qqqujevTv8/f0FIm7T09Px5MkT+Pj44PHjx4iPjweDwYChoSHy8/PBYrEQHh7e5GTjm6+/gPP7HIAQoAl2r7TSxiLThucp5HK5eP36NT+5eEhICGg0GgwNDWFrawsFBQUsWrQIhw4dgqSkZCXPZk0lLKtL9K6hodGq8w9WVCxqSE312bNn49atW2AymTAxMYG7u3ut783nz5/DyMio2pCNCorYHMRmFaGUw4M4k45OSjKQkRDs8iYhBA8fPsTu3bvx7Nkz9OjRA2vXrsW0adMgJiYm0LEaQ4UHs0Jgfvv2DQCqCMzWWMqxIa9vcHAwhgwZAgaDgY8fP0JHR6eZrW15JCQkQEtLCw8ePIC1tbWozaH4CaEEZRNYtGgRzp07h6CgIKHUMa6L2bNnw8PDA3l5eVVKLAoKQgiio6P5ydW9vb1RVFQEKSkpfvylubl5g2tLi6rGelZWFh4+fAhPT088ePAA2dnZUFRUxMiRI2FjYwNra2v+j/Evv/yC58+fIyIiosq9EUKQlZVVbdxmTEwMEhMTq5SwrK6iUOfOnQVWJ1pYVFTDef/+fb3f55mZmejRowd0dXUREBCAy5cvY8aMGdW25XK5GDBgAJhMJoKCgirlHOXnjG1gXG1D4XK5uHnzJvbs2YOQkBAMHDgQ69atw7hx40SeA7U24uLiKgnMmJgYAICenl4lgVnfcqfNTWNe38TERGhra6OkpAS+vr4wNTUVie0tja9fv6JHjx549uxZi4nvp/i5oARlEygpKYGhoSFKS0vx5s2bZo3fiY6Ohra2NmRlZWFtbY3r1683y7iFhYVQVVXFsGHDQAhBQEAA2Gw2VFRUYG5uzo/B1NKqWdwlZLNgcfgp2BxeneOlu21FcfQb/v815p+EmFLVCjsSTDp8lhtXiakkhCAkJISfXDwoKAg8Hg99+/blx0IaGhpW8SAWFRVBVVUVa9asadTyfkUJy+riNmNiYqotYVmdd1NNTU3kgiY9PR2qqqq4efMmJk6cWO/rLl68iDlz5sDc3Bxv3rxBWFgYOnToUKXdqVOn8Ntvv+HVq1cwNDQE0LiqVvWNq/0eNpuNy5cvY9++fYiMjIS5uTnWrVsHMzOzVhkfm5CQwBeX/v7+iI6OBlAevvK9wBR1XevGvr4brLtgRL9eyMjIgJOTE2bNmtWMVrdsQkJC0K9fvyZV86KgaAqUoGwiX758Qf/+/eHg4IBz584127hz5syBm5sbSkpKBFZisb44ODjg8+fP+PDhA4qLi/HixQv4+PjA19eXX5O6e/fufHFpampaKSZu5vkgvIjJqrOmeuEnP2Tdq1zxoSZByaDTMLSLEi7PNUReXh58fHz4JQ5TUlIgKysLS0tL2NraYuTIkTVWfang8uXLmDVrFr59+4ZOnTrV/8mpB4QQpKen1+jdTE5O5reVlJRE586da/RuSklJCdS2muyVlZXF1q1bsXLlygZdZ2JigsTERJSUlEBPTw8PHjyoJNSysrKgra2NcePG4cKFCwDKvddb7n4Ch0fqfI98T0PiagsLC3HmzBkcPHgQycnJmDBhAtatW4eBAwfWe7zWQGJiYiWBGRUVBQDQ1dXlC0xjY+NmFZhNeX25ZaXIengSKyYMwdatW4VnZCukImzk8+fP6Nmzp6jNofgJoQSlALhw4QLmzp0LFxcX2NvbC328mJgYdO/eHeLi4pg/f36z74i9desWJk2ahK9fv0JbW7vSuezsbPj7+/M3+ERGRoJGo6F///6wsLCA7mAzbHpVWucYXFYeks/+Bl5xAcBgANzy1D81CcoK2r+/gNc+d8HhcNCzZ09+Wp9hw4Y1KObTwsICHA4H/v7+9b5GUFSUsKzOu/nt2zeUlJTw22poaNTo3awoYSkI+vTpg6FDhza4RnB4eDj69OmDKVOm4OrVq/jnn3/w22+/8c//9ttvuHbtGn9TxXG/SBx4FNFke2uKq83KysKxY8dw7Ngx5OfnY/r06VizZs1P8wOclJRUSWBGRkYCKC/Z973AFNYGl6a+voQQ0Gi0RsdN/8g8fvwYVlZWiI2NRceOHUVtDsVPCCUoBQAhBNOmTYOnpyfev3+PLl26CHW8efPmwcXFBQwGA9HR0c0eH1VcXAxlZWWsX78e69evr7VtXFwcP/7S19cXZb3HQ7afLWj02jepZN47gKJP/mhjMBLFMe/AzS/fYVyboCQ8LpSyP2FeX3mMGjUKnTt3btT9JSQkoGPHjjh//jxmz57dqD6EBY/HQ2pqao3eze9rpktLS1crNCvSIklISNR73IkTJ6KwsBCPHj1qsM0bN27E/v37MWnSJNy5cwcfPnxAt27dEBISgv79++PQoUNYtmyZUONqExMTcejQIZw5cwY8Hg/z58/HihUrag3N+BlITk6uJDAjIsrFXo8ePSoJTDU1tSaPJaq46Z+Fio2i6enpLTZmluLHhhKUAiIvLw/9+vVDu3btEBgYKLQdod++fUP37uUz823btmHDhg1CGacu7O3t8fXrV4SEhNT7GkIIhux6hNRCTq3timPeIv3GFjDaKEJj3kkkX1hcL0EJAB2VpPF0ZdOC9Hft2oWdO3ciNTW13ruaWwqFhYX49u1btd7N2NhYlJaWe4dpNBo6dOhQo3dTSUmpkndz5cqVuH37Nn/JtCEUFxdDX18fGhoaSE5OhpqaGvz9/WFsbIy8vDyEhIQgtaAMRmsuIDfsKdgJYeDkpYPLygddQhoSGjqQGzwJkpp61fZflpuKlPOLQMrKPbfiGjpQn3UQEkw6zozXwuWTh+Hs7AwZGRksWrQIS5YsoX5wayAlJaWSwPz69SsAQEdHp5LAbGgy94RsFkx33UfGczewk76gNCUShMMGAMjomaPd6OWV2vPK2Mh/7QHW1+fg5KSAcMtAl5KFhFp3yA2aAMmOvWuMm/5ZcXFxwbRp01BYWPhT5+OkEB0/Z0kBISAvLw8XFxcMGzYMGzduxN69e4Uyzq5du8BkMqGoqIjly5fXfYGQsLOzw+TJkxEVFVXv+M2iUi7S6hCTvNJiZD04AQBQtPoddMmGfTHGZ7FQxOY0Op0MIQROTk6YOHFiqxOTANCmTRvo6+tDX1+/yjkul4vk5OQqQvPTp0+4d+8eMjMz+W1lZWUrCc2kpCR8+/YNX758QZcuXRoUPiAlJYWTJ0/CysoKGzZswK5duzBjxgy8ePECT548gZiYGNZ7vEPOWy8UhHhXupZXnI/i6GAUx7yF8vi1kNYZWqX/7Acn+GLye9hlHEzZ7wH6U0/s3LkTCxcu/KHzhQoCdXV12Nvb80N3UlJS8OzZM77APH36NABAW1u7ksCsKyZ5vUcoSnLTkP/KvV52ZNzcgZLY95WO8Ypy/30vTNoEhvYgrPcIxeW5hg2/0R+Qio1+zRFXTUFRHZSgFCCDBg3Crl27sHr1apiZmQk8F1hsbCwuXrwILpeLHTt2NGuC5f8yatQoSEtLw83NDevWravXNXFZRajLHZ771Bnc/HRI9zCCtPbgBttFAIydPhcKKE9tJCkpWeO/1R2LiopCREQE1q9fj8TExEptW3MuSaA8ObumpiY0NTVhYmJS5XxFCcv/ejc9PDwQGxsLHo+Hnj17ViphWZ13s7qk5JaWlnBwcMDp06exYMECnD59GlZWVjA1NUVkWgECosoTyTNkFCDTxwqSHXTBKylEbqALONmJAOEh2/dcFUFZGOqLktgQ0JjiIJz/xObS6JDq3Bee+8PQS/PnS/wtCNTV1TF16lRMnToVAJCamlpJYJ45cwYA0L1790oCs3379vw+Kl5fHo0JCU09SLTvAS4rD0UfH1c7Zmn6t3/FJJ0JRYv5YCqoI/+VO0riPgKEh8IQL0h3G4iAqExEpRegm0rrm/wJGhaLBUlJSZFnhaD4eaEEpYBZsWIFfH19MWvWLHz48EEgsUcV7Nq1C3Q6Hdra2nB0dBRYv41BWloao0ePbpCgLK0jTVBZVgIK3nmCLtkGipYLG20bjSmGgpwCpKeno6SkBMXFxZX+rXjM49Vszy+//FLlmJiYWK0CtSHCtSHXNFdCbXl5eRgYGMDAwKDKuS9fvqBnz57Yu3cvFBQU+KIzJCQEN2/eRE5ODr9t27ZtqxWay5Ytg6enJwICAkCj0ZCYmIjS0lJcDYoHg06DTC9TKJjPA11Mkt+XmJImUi4uAQBw89PBLcoFQ6Zt+f+LcpHjew4ADfJDpyL32eUqdjPoNLiFpFKCUkCoqalhypQpmDJlCgAgLS2tksA8e/YsAKBbt258gRlC6wYGnQbxdlpQm74HAFAQ4lWjoOSxi/iPxVU6Q7afLQCAcLnlghIAIeWfXQadhiuv4rF1bC/h3HArgsViidTJQEFBCUoBQ6fT4eTkhD59+mDWrFl48OCBQGaMcXFxuHDhArhcLvbt21dnve7mwM7ODnZ2doiOjkbXrl3rbC/OrP154BbmAIQHXkkhEo/NrLZN8tnfIKbSGRpzjtXYz9+HDqKXhnytYxFCwOFwKonNvLw8GBkZYcKECfjll1+qFaF1/VtcXIzs7Oxar+Fwal/2/y8MBqNZhOt//xUXF+fHUXbt2hV0Oh3y8vKYP39+FRsrSlj+17sZHByM+Ph4vnin0+n4/PkzlJWVER4ejlGjRiF3+DJweXRIalYVBUzFykupNLF/NxJl+5wGr6QAsv1sIdG++l3aXB6BX0Q6toISHMJAVVWV/z0AlOcs/V5gnjt3DhoLz0BMofYl8e8RV+kCuoQMeOwilKZ/Q8E7LzAV1FAQ7MFvI9PLBAD1+n4PJSgpRI3oVckPiKqqKi5fvgwrKyvs378fa9asaXKfO3fuBAAYGRnB1ta2yf0JAhsbG/6y99q1a6ttQwhBVFQUHj16BK/HviA95gg1YTQNQCeluuMuaTQaxMTEICYmxo+rc3NzQ0FBAdavXy/UUm4cDqdGwVlf4VrdNQUFBbW2rdiQU19oNFolgUmn07FhwwacPXu2TqHavn17dO3aFWPHjoWYmBgKCwuRm5sLJycnpKSkoLCwEIqKivALfAnNgctrrLzJ+vqC/1iiQy/Qxcvjw1iRQWCFB4Ahp4y2xo4oTa15s1BT42op6o+KigomT56MyZMnAwBik1JhcvxNHVdVhi4hDeWJG5Dp9Te4eWnIfvQP/xxDTgUKprMh0/PfSjDU61sOJSgpRM3P/QkUIpaWlli7di02btwIExMTfgWQxhAfH8/3Th48eLDFVPCQlpaGra1tFUGZk5ODJ0+e4NGjR3j06BFiY2MhJiaGYcOGQZ5Rinxe9elqmAoaUDCv6v3Ke+4CXkl53Wy5IXYQa1dzqhAtJelG/7A4OTnB0NBQ6HWBmUwm2rRp0+wlF3k8Hl+ANka4Xrp0CUwmE/379690LicnB8nJybWK3f9S4c0VU+lc4/uZnRqF7Mflm0DAEIOCRfl7g8dmIftReT5MJevfQZeo/UeUABg3Yx6k2dmg0WiN+gPQ6Gt/5utTShgAGh7fSJdpCzHF9uDmpVU6zs3PAOvrc0h1HQi6uCT/9Y3NKqpzVeJHhxKUFKKGEpRCZPv27fD394e9vT1CQkLQtm3bRvXz119/gRCCiRMnCqVed1Ows7PDlClT4Obmhk+fPuHRo0f88oY9evTA2LFjYWVlBWNjY7Rp0wZb737C5aC4aitkMOXaQW7guCrH84PvAP8XlG30zGpOG0R4GN5VsVH3kZaWhgcPHuDYsZqX0ls7dDod0tLSjf7RSUlJwevXr/k7fauDEAIWi4Xs7GxkZ2cjKysLWVlZSExMxLZt2yAvL49Bgwbh9evXSEhIgJJy9Qm0SxI+Id19GwibBdAZUB67ChJq5dkE8l65gVuQCWldY0h1rWdlGzoThBDweDwQQhr0V3Ffjf370a5vCOLq2lB3PNSga7jFBUi7sga8kgLQpdtCZcpWiCloIDfwKgqC74D1JRB0CRkojVrMv6au+OyfAUpQUogaSlAKETExMVy7dg0GBgZYuHAhXF1dq/XGFLE5iM0qQimHB3EmHZ2UZPhetsTERFy4cAE0Gg379u1r7luokZiYmPJlbC8vAMCUKVOgoKAACwsLzJkzB1ZWVtUmjZ5uqIVLL2OFYxSNjoALO1FkdbHBediuXr0KBoPB381KgSrCsKioCF++fMHu3buRk5ODrKysSucrHrPZ7Cp90Wg0EEKgqKiIxMRE6OrqIisrC+KMqnG1xd/eIePWTpAyNsAQg/K4NZV2/HMLssvt+/wUcZ+fVrm+NPkr4vaMhoL5fP4ERU2lHYb06AtdXV3o6uoKtIrQz0h9xejnlHxMPve2QX2zvj4Hr6QAACCtM5Q/kZAfbIeC4DvlbSJfVRKUdcVn/wxQgpJC1FCCUsh07twZZ8+exdSpU2FpaYl58+YBKE+lcTUoHn5f0xGfzaqUTocGQEtRGqY6Kgi/fxY8Hg8LFy6s18YXYZGfnw8/Pz88evQIDx8+RHR0NJhMJoYMGYJevXqBy+UiLCysztQ63VVlMbxbu3rV8q6gw+8X6mzDoNPQQ4GGp35eGDVqFDw9PRuUR9LJyQljx46FomLjPJwtmYqNQv8VfhWPaxKG35d4/J4DBw5ASUkJioqKUFJSgpaWFgwMDPjHKo5X/FtYWIhBgwZh+fLl2L17N7+f+/fvY+xEO2jZEJS/68tjJjPu7gO4HNDEJKE8aSOkOhk07QkgBO8DHuPG6VCUlZUBABQVFfnismfPnvzH7du3p4RmPfh+Kbw2enYQBw2oM13Y9/CK8/mPSem/4RK87x6T0n/fm/WNm/7RoQQlhaihBGUzMGXKFPj4+GDJkiXooj8QF8NKEBCVCQadVq2oIgDislm4/CoWXCVLqNorY+GK5k0TxOVy8ebNG34c5MuXL8HlctGtWzdYW1vzcwjKycnhxo0bmDp1KuLi4upVdnLXBH1YHH5ab0FZF4QQMGg0nJpjjIShjzBq1ChYWVnB29u7XmEG79+/x8ePH/kbn1oqJSUljRKG1cUw0mg0tG3btpLw69ChA3r37l2tMFRUVERSUhJMTEzg5eXVoJjgiRMnol27dlWqOo0ePRoTxtggOD8DdDkVFH0JROadfQDhAaBB3sgBNIYYShI+8a+RUNeGTC9jiKtWfp9xcpJR8M4TQPnGDbmB4/iVdTq2k8HT92/B4XAQExODz58/8/+Cg4Ph7OzMF8+ysrJ8cfn9n5aWFpXfrxFIizOgIk1HGosHXlkJiqPLN+iUpsXw23Dy01H0JRBA+esr1u7fOtRFXwIhrqENMQUN5L/+d5e3uOq/ZVWbEjf9I8FisYRWg52Coj5Qn8Jm4siRI/BPKMOcm9/A+H9ewboEFff/pyU79sFUp1BsG8uDvRBr18bHx/MFpI+PD3JyciAnJwdzc3OcOHEClpaW1QpGW1tbSElJwd3dHatXr65zHE1FaWwb20tgdX1pNBpyfU4jxlIGxsbG8PX1hZWVFczMzPDo0SO0a9eu1uudnJygoqIi8ET0NcFms2sVhjWJxIpKGP/le2GoqKgIDQ0N6Onp1SgMlZSUIC8v3+BE7RXlCmNiYuotKB8/fgwPDw9cu3at2k1If//9N/ov2APp3tYojgr+v5gEAIJcv4tV2rf/9TykOveDVOd+lY6XxH38V1C2UeAvdTPoNJhqqwAo3wylra0NbW1tjB8/nn8tl8tFXFwcX2SGh4fj06dPcHNzQ2FheeyutLQ0evbsWcmbqauriy5durT6hPfCIC4uDpcvX4azszMyO5pCtp8teEV5yLy9p0pbdnwo2PHl3wVKNssgo2cKifY9wU4KB7hlyHn8n5hdOgPyw8vTin3/+v7sUB5KClFDCcpm4kJQEkoNJoMQAm4D48cJaGBzeFh7KxSZhWwsMu0uEJsKCwvx9OlTPHz4EI8ePcLXr19Bp9NhaGiIJUuWwMrKCoMGDaoz56WMjAxsbGzg5uZWL0EJAPYDtZBZyMaBRxFNvo/Fxh3hHVwEKysrXL16FZMnT4a/vz8sLCxgamoKHx+fGmfuZWVluHbtGqZPn97gBOKlpaWNEoZFRUXV9icvL19J+KmpqUFXV7fKEvL3wrBt27bNJmgq7IuOjq5X+9LSUixZsgQjRozgl/L7Lx06dMBCc104ZwrH+8flEcwYXPskjMFg8BOwjx49mn+cEILExMRKHs3Pnz/j/v37yM3NBQBISEhAR0enksjs2bMnunXr1qDylD8CBQUFuHnzJpycnODv7w9paWlMmjQJlpMmY9Or+qesotEZULHfgfwgD7AiXoCTkwzC5YAuJQvJ9rqQGzwJEhrlmRjq8/r+LFCCkkLU0EhDt+1RNBjX4HiBeeMAYO9EfUxthKeSx+MhJCSE74V8/vw5ysrK0LFjR/4ytpmZWbWl8+ri+vXrsLe3R0xMDDp37lz3Bf/HNTgeW+5+AodHGrQEzqDTwKTTsH1sL0wdqIXS0lL88ssvcHV1xdGjR7Fo0SKEh4fD3NwccnJy8PX1rVQOroL79+9jzJgx8PHxgYaGRoOEYYX36r/IycnV6h2sLs6wbdu2LSJZfV0YGhqiV69euHCh7rjWAwcOYM2aNQgJCUHv3r1rbMflctHj1+MoU+wM0AUnjhl0GoZ2URJ4rWdCCFJTUxEeHl5FbGZkZAAo94Z27969ytK5trY2JCUl6xih9cDlcuHn5wdnZ2fcvHkTLBYLpqamcHR0xKRJk/he6ZnngxoUN10fhPX6tla6d++OSZMmYc+eql5gCormgBKUQiYhmwWjNReQG/YU7IQwcPLSwWXlgy4hDQkNHcgNnsSP9QKAgg8PwfoSiLLMBPCK88vjA9soQlJTD/JDJkNMSRMSTDp8lhtDU7Hu2WhSUlKlZezMzEy0adMGZmZmsLKygpWVFbp169bkjQiFhYVQVlbG9u3bsWrVqgZdm5DNwnqP0FrjSiuoOD+8WzvsmqBf6Tlgs9lYvnw5Tp48iZkzZ2Ly5Mn8XclAecxehVexQhgmJSXVWLlGVla2Vu9gdY8VFBSarVSiKHBwcEBycjKePq26u/p7UlJSoK2tjV9++aVeqZg8nwbht3tJoIuJo2KDTlNpyOdEUGRkZFQRmuHh4UhOTgZQnrqpa9euVZbOe/To0eDMBKLk69evcHJywuXLl5GYmIju3bvD0dERM2bMQMeOHau0T8hmweLwU7AFmN5HFK9vS6Z9+/ZYuHAhNm/eLGpTKH5SKEEpZGaeD8KdE9tQEOJdfQMaHcrj10JaZygAIM1lA0riPlTfVFwK6r8cgWS7DjXOzFksFp49e8YXkZ8+fQKNRsOAAQP4AnLw4MFCWY6bOHEiEhMT8fr160ZdX9vOd4BAnlEGNV4WVAsiUJoRX8VjmJ+fX22/MjIyYLPZ/OehQ4cOUFJSgpSUFI4ePYrJkydj2rRplYShoqLiDy0MG8vGjRtx6dIlJCYm1tpu1qxZ8Pb2RkRERL093uP/3If3EoIroddYT74wyM3NrdajGR8fz2/TqVOnKkvnPXv2hLx8y0jYnZ2dDVdXVzg5OeH169do27Yt7O3tMWvWLAwePLjOSekBjxc4/jqn1jYNoSW9vi0BBQUFbNiwAStXrhS1KRQ/KS1/ja0VE5lWgICozHIvo4wCZPpYQbKDLnglhcgNdAEnOxEgPGT7nuMLSjGVzpDQ0oN4u46gSUijLDMeuQFXQNgskNJiFH58DDGTXxAQlYmo9AJ0VW6Djx8/8tP5BAQEoLS0FB06dICVlRU2b94Mc3NzKCkpCf1+7ezsMG3aNMTGxqJTp07gcDjIzc1tcIxhXl4eaGKSYCqog8YQA+GWgZOTAmlxBnIUFZH+nfDr0qVLtUvIL168wIYNG2Bubg53d3fk5eXBwsICsbGxOHfuHHR1dXHyZHm1lb///pvaHVlPunbtiqSkJJSUlNS4dPv8+XNcvnwZZ8+ebVD4hPPWX9Frygow+o5vsp2rrHRalNho27YthgwZgiFDhlQ6XlBQgC9fvlQSmx4eHjh48CA/iXj79u2r3XneHCmuysrK4O3tDScnJ9y/fx9cLhcjR47EjRs3MGbMmHov33/58gX7Fo6H0ojpKO5u0WS7Wtrr2xKgYigpRA3loRQiFVVhiuLCIK7WFXSxf798S9NikHJxCf//HRZfAUOmbbX9ZPucQcGbuwAA2X62ULT6DXQQqBVEIsZ9L9LS0iAtLQ0TExO+F7JHjx4Cy6fH5XLrJQzT09Px5MkTKCgogMfj8Tcu/Bdpael6LyF//1hCovqSjTXh4+ODCRMmoGfPnvD09ASPx4OlpSVSUlLg4+ODhQsXol27drh//74AnqWfg6dPn8LExASfP39Gz549q5zncrkYMGAAmEwmgoKCGpxq5+bNm/hl+xmo2i4Gj9DQkAXS/8bVtmaKi4vx9evXKh7NqKgocLlcAICqqmqVPJqCSNpOCEFISAicnZ1x7do1ZGRkoE+fPnB0dMS0adMaPPmKjo7GiBEjoKioCH9/fzyOKcKWu5/ALuMAtPq/P36k11fQcDgciImJ4eLFi/jll19EbQ7FTwrloRQifl/TweURSGpWXcZjKmpU+j9NrKpYIpwylGbG8XO3AYCEVvnmBh5oSKUr4ZdffoGVlRWGDRtWp+CqEHn18Rh+/zg3N7fakmtSUlJVhJ+WVvkGmWXLltUoDJtrU4KFhQWePXuGUaNGYejQoXj48CH8/PxgbW2NESNGID8/Hzdu3GgWW34UKpLrR0dHVysoz549i/fv3+PVq1eNyts4ceJEXLx4Ee9vbcDwP//By2+5IDwuaLVs1qmIqx3aRalKXG1rRUpKCgYGBjAwMKh0nM1mIyoqqpLIfPbsGc6ePVtt0vbv/zQ0NGoVmikpKbh69SqcnJwQFhYGVVVVzJw5E7NmzUKfPn0adR/x8fEwMzNDmzZt8PjxYygpKcFeSQkqvBw4HL4Lqc796h03/SO9voKmItcs5aGkECWUoBQShWwO4rOrzxsIlFcEqUCiQy/QxaX4/y/LSkDy2d8qtadLyEBu8GTI9BjGP8aTUYLNmAlg5efg5s2bdQrDnJycaoWhhIRElY0n+vr6dW5GkZKSqtJXRQqeqVOnVhuc39z07dsXL168wMiRIzF06FB4eXnBx8cHenp6yM/Pb5ZQgB8JDQ0NSEhIICYmpsq5rKwsbNiwAbNnz25Q4vPvodFoOH78OHR1daEW7o7bi9dg/KqDYGr2BldKsWpFKSVpmGqrYMZgLXRTqX9lpNaKhIQEevXqhV69Kk9SORwOoqOj+ZuAqkvaLicnV20ezXfv3uHKlSt4+PAhxMTEMG7cOOzZswfW1tZNyjyQnJwMMzMzMBgM+Pr6Qk1NjX/u6pmjEAt8CK8DH3HjXQr8ItIRn1VNxbCf7PVtLBWpyChBSSFKKEEpJOKyimosN8ZOjUJ2RbJehhgULObX3SGdgeoKmFlMcEBZ+jcAgLi4eBUR2KtXrxpT1VQcE+SX0JgxYyAhIQF3d3esWLFCYP02hS5duuD58+ewtbWFsbEx3NzcAADq6uoYO3Ys7t27B1NTUxFb2Tqg0+no3LlztbkoN23aBA6HU6m8YmPo1KkTtm7dinXr1mHmzJm4vGwsjI2N8dfe/Rg3fV61Ne9/dphMJnR0dKCjo4MJEybwj/83afvnz58RFhYGV1fXShWUZGRkMHDgQFhZWaF///7Q1tZu0rJ5RkYGLCwswGaz8ezZM3To0IF/LiUlBVeuXMFff/0F3Q6K2NpBEVvRC0VsDmKziqjXtxFUFD2gBCWFKKFiKIVESHwOJpx8UeV4ScInpLtvA2GzADoDyuPW8DfkVMArY6M0NQqEw0ZpWgzyX7mDV1Ke81DBciHk+o/ht91noYwh2up8YdgS6hCPHz8eqampePXqlahNqURRURHs7Ozw8OFD8Hg8+Pn5Yffu3Xj27Bk8PDwwcuRIUZvYKqhI/v197GlISAj69++PQ4cOYdmyZU0eo6ysDP3794eEhARevXqFNWvW4NixY3j37l0V7xxF/fj27Ru/ek10dDQ0NDRgbGyMTp06ISMjA58/f8anT5+Ql5cHoPqk7bq6uujWrVutGRBycnJgamqK1NRUPHv2DNra2pXOr1+/HsePH0dCQkKL2cHe2gkLC4O+vj5evnyJwYMHi9ocip8UavonJMSZVePHir+9Q8atnSBlbIAhVi4mtat++OliEvy4S6nO/cCQlkeW198AANbnp5UEZa+eOtDUaFlfynZ2dpgxYwbi4+OhpdVygudlZGRw584d9OjRAzExMXjz5g3u3LmDKVOmYNy4cbhx4wbGjRsnajNbPF26dIGPjw///4QQLF68GD179sQff/whkDHExMRw6tQpDBs2DCdPnsRff/0Fb29vzJo1C69evaJSOtWT/Px8uLu7w8nJCc+ePYOMjAzs7Oxw9uxZGBsbV4lzrUja/t88mr6+vpWStmtra1dZPtfW1kZpaSlGjhyJxMRE+Pv7VxGTBQUFOHnyJBYsWECJSQFCeSgpWgKUoBQSnZRkQMO/i9Ssry+QcXcfwOWAJiYJ5UkbIdXJoNI1hFMGMJjVeBn//T+vpKjS0U5KLS8Z8vfL3n/++aeozalESUkJUlNTYWxsjFWrViE5ORk3btzgJ0K/evUqpkyZImozWzRdu3bFmTNnwOPxQKfTcfXqVTx//hy+vr4CFXpDhw7FwoULsX79ekycOBHOzs4YPHgw/vrrL2zbtk1g4/xocLlc+Pr6wsnJCR4eHigpKYG5uTmcnZ0xceLEWhOo02g0qKurQ11dHebm5pXOVZe0/dy5c0hJSQFQHg4hLi4ODoeDmTNn4v3792Cz2ZWStl+4cAGFhYVYunSp8J6AnxBKUFK0BChBKSRkJJjQUpRGXDYLRV8CkXlnH0B4AGiQN3IAjSGGkoRP/PYS6tpgJ4Ujy/sYZPRMIdauI+gS0ijLiEXei393IourdeU/bt9WokXGGMnJycHa2hpubm4tTlC6u7ujuLgYly9fxt27d7F48WKkpqbi0qVL+PXXX+Hg4ICSkhLMmjVL1Ka2WLp27Qo2m42UlBTIyspi1apVsLOzg5mZmcDH2r17Nzw8PLBs2TLcuHEDGzduxI4dOzB69GgMHDhQ4OO1Zj5//gwnJydcuXIFycnJ0NHRwaZNmzBjxgxoamo2uX9lZWUoKytjxIgRlY7n5ubi/fv3+P333xEVFYUBAwbA19cXFy9e5Lfp1KkTevbsiefPn2PgwIFITk6GvLw85OTkmmwXBSUoKVoGLU+N/ECY6qjgclAciqOC/y8mAYAg1+9ilbbtfz0PAODkpiAv8Fq1/TFkFCA/fEZ5Lzwuwn1vYqTfAdjb22PChAktagnJzs4OM2fOREJCgkB+zASFk5MTzMzMoKmpiT/++AOqqqqYPn060tPT4ebmBklJSTg6OqKkpAQLFiwQtbktki5dugAoTx1079495OXl4cCBA0IZS0FBAYcPH8b06dPh5eWF9evX4969e5g1axbevXtXbaaBn4msrCy4uLjAyckJb968gYKCAhwcHODo6IiBAwc2S0y1tLQ0Dhw4gNjYWDx+/BjGxsYA/k3aXuHN9PHxQX5+Pl69esWP8+vQoUOVpfPmStr+I0EJSooWAaEQGhGp+aTj2vtERs+coHz1u8a/9r+eJ+3/cCKy/ccQcdWuhC4lR0CjE5q4FBFX7UrkhtiRDkuuko5r7/P/dhw9S4yNjQmNRiMSEhJkwoQJ5Pr166SoqEjUt05yc3OJuLg4OXTokKhN4RMTE0MAEGdn50rH/f39iby8PDEwMCCJiYlk0aJFBAD5+++/RWRpy4bFYhEAZOfOnYTJZJIdO3YIdTwej0csLCxIp06dSFFREfn06RORkJAgy5cvF+q4LRU2m008PDzI+PHjiZiYGGEymWTs2LHE3d2dlJSUNKstZWVlZNKkSURcXJw8fPiwxnY8Ho/069ePWFpaEhaLRUJCQsjVq1fJhg0byIQJE4iOjg5hMBj870NVVVViampK/vjjD3LixAni5+dH0tLSCI/Ha8a7ax0UlpSRPaevEHF1bRISm0kKS8pEbRLFTwq1y1vIzDwfhBcxWbUm7m0oDDqtUi3vxMRE3LhxA66urggODkabNm0wbtw42Nvbw8rKSih1u+vD2LFjkZmZiRcvqu52FwXbt2/H/v37kZqaWiWOLDQ0FKNGjYKYmBgePHiA8+fPY//+/dizZw/WrFkjIotbLh06dIC4uDhoNBo+ffok9GT1UVFR0NPTw7Jly7Bnzx4cOnQIK1euhJ+fH98j9iNDCMHbt2/h5OQEFxcXZGVloW/fvnB0dISDgwNUVFSa3SYul4tZs2bhxo0buHXrFsaMGVNjWz8/P5iZmeHhw4ewsrKqtg2bzUZkZGSVOM2vX782OWn7j0ZkWgGuBsXD72s64rOryd+pKA1THRVMN9RCd1UqfydF80AJSiGTkM2CxeGnYHMaUkSudiSYdPgsN662YkRUVBRcXV3h4uKCz58/Q0FBAZMmTYKDgwOMjY3BYNRccUTQXL58GbNmzUJ8fLzIl70JIejevTuGDx9eKbbre+Lj4zFy5EhkZGTg3r178Pb2xvbt27FlyxZs2bLlp/rBqotevXrh8+fPuHv3bq1CQpDs2LED27dvR0hICHR1dWFqaor4+Hh8/PgRsrI/5o9mUlISv3rN58+foaamhhkzZmDWrFnQ19cXmV08Hg8LFy7EhQsX4OrqCjs7u1rb29jYICkpCe/fv2/w5+j7pO3f/3358qVS0vbqylBqaWk1qmJTSyUhm4X1HqEIiMqsd4Wh4d3aURWGKJoFSlA2A67B8Vh7K1Rg/e2dqF+vWrahoaF8cfnt2zeoqalhypQpcHBwgKGhodAFUl5eHlRUVLB3716B5CZsCs+fP4eRkRGePHlSaxLz7OxsjB07FiEhIbhx4wZCQ0Oxbt06rF69Gnv27KFEJcrLvKmoqIDBYCAnJ6fZnhM2m40+ffpASUkJAQEBiIuLQ+/evWFvb4+zZ882iw3NAYvFwu3bt+Hk5AQfHx+Ii4tj/PjxcHR0hIWFRZOq1wgCQgiWLl2K48ePw8nJCTNnzqy1fUWORGdn5zrbNoTqkrZX/H1fOaa6GM3OnTs36+RaELgGx2PL3U/g8EiDVrwqaqBvG9sL9lQNdAohQgnKZuK4XyQOPIpocj+rrHTwh2m3Bl1DCMHr16/h6uqK69evIyUlBZ06dYK9vT0cHBygr68vNFEwZswYZGdn4/nz50Lpv74sWLAAjx49QkxMTJ0ei+LiYjg4OOD+/fs4e/Ys8vLysHz5cixevBhHjhz5oTwejWHbtm3Yvn075OXlkZ2d3axjP336FCYmJjhz5gzmz5+Ps2fPYsGCBbh//z5sbW2b1RZBwuPxEBgYCCcnJ7i5uaGgoABGRkZwdHSEnZ1di9lwRwjB2rVrsW/fPpw+fbpeG9dmz56Nx48f49u3b82SP5QQgoSEhEplKAWVtF1UCOr3Y6WVNhaZdheARRQUVaEEZTPS1Bnm9rG96uWZrA0ul4uAgAC4uLjA3d0d2dnZ6NmzJxwcHGBvb4/u3QX7ZePs7AxHR0ckJCRUKr/WnBQXF0NNTQ1LlizBjh076nUNh8PBokWLcPr0afz1119QUlLCb7/9hvnz5+PUqVM/raiMjY1Fz549YWlpyd/h3dypX2bPno3bt2/jy5cvUFFRga2tLUJCQhAWFtbqarNHR0fzq9d8+/YNnTp1wqxZszBr1ix07dq17g6amW3btmHr1q04fPhwvVYdkpOT0alTJ+zatQsrV64UvoG1QKpJ2l7xl5mZCeDfpO3/XT7X1tYWepxwTYhqhYuCoqFQgrKZaUkxMKWlpfDx8YGLiwtu376NwsJC9O/fH/b29pg6dapA4h5zc3OhoqKC/fv3iyyZsaurKxwcHBAREdEgwUwIwV9//YXNmzfj999/x4ABAzBv3jxMnz4dFy5cEPnSoyiYOHEiXr9+jcuXL8PMzAzv3r1D3759m9WGzMxM9OjRAyNHjuTnXNTT04OVlRVcXV2b1ZbGkJeXBzc3Nzg5OSEwMBCysrKws7ODo6MjjIyMWuxkZd++fVizZg127dqFdevW1euatWvX4uTJk0hISGjROSerS9r++fPnSknbu3btWsWj2aNHD6Gm6knIZsF0131kPHcDO+kLSlMiQThsAICMnjnajV5eqT0r4hVYXwPBTgwHJy+Nf7z9r+fBbKsKoPYYfAqKpkAJShHB36UXkY74rGp26SlJw1RbBTMGa6GbivA3HBQXF8PT0xMuLi7w9PQEm83G8OHDYW9vDzs7OygrKze679GjRyM3NxeBgYECtLj+jBo1Cvn5+Y1edj937hwWLlyI8ePHY/z48Zg9ezYmTpyIq1evtsjlMWHx+PFjWFlZ4dq1a7CwsICKigrc3d0xadKkZrfl4sWLmDNnDh4/fgwLCwv+pMHV1RVTp05tdnvqgsPhwMfHB05OTrh9+zbYbDYsLS3h6OiI8ePHt/j8gcePH8fixYuxadMmbN++vV7XFBQUQFNTE/Pnz8f+/fuFbKFwyMnJqSQ0Kx7Hx8cDKK8s1LFjxypCs2fPngIR0DPPB8Hv5WsknV9S5Vx1gjL95l8ojnxVpe33gvK/WUIoKAQFJShbAEVsDmKzilDK4UGcSUcnJRmRVsDJz8/H7du34erqikePHgEALCwsGp1A3cnJCb/88gsSExPRvn17YZhcI8nJydDU1OTXD24s9+7dw9SpUzFgwAAsWLAAc+bMwahRo3Djxg1ISEgI0OKWSWlpKfr06QMVFRX4+/sDAOTl5bFx40asXr262e0hhMDExAQpKSn4+PEjJCUlMXXqVPj4+CAsLAzq6urNblN1hIWFwcnJCVevXkVKSgp69uwJR0dHzJgxo9k/C43l3LlzmD9/PlasWIH9+/fXO9768OHDWL16Nb59+yaycBdh8d+k7RV/3759Q8VPaocOHaqIzIYkbY9MK4DlkWcozYxH9sN/ING+B7isPBR9fAygekGZ/fg0eCUFkGjfE7lPncFjl29O+l5QVuCzfESzOCsofh4oQUlRK5mZmXB3d4erqyuePXsGMTEx2NjYwMHBAaNHj66XZ6Vi2fvAgQNYsqTqTFuY7N+/H5s2bUJqairatm3bpL5evnyJ0aNHQ11dHWvWrMGCBQswYsQIeHh4tHgPU1M5ePAgVq9ejZCQEPTu3RsA0LdvXxgaGuLUqVMisSk8PBx9+vTBunXrsG3bNmRlZUFPTw/9+vXD/fv3RbYjPyMjA9euXYOzszPevXsHJSUlfvWa/v37t6pMAVevXsXMmTPx66+/4sSJE/W2vaysDN26dYOxsTGcnZ2FbGXLgcViISIioorQjIqKApfLBQCoqqpWm0tTWVm50vO79e4nXA6KqxQWVRDiheyH/wCoXlB+T8KxGeAV5QKoKigZdBpmGnbE1rG9BHn7FD85lKCkqDdJSUm4ceMGXFxcEBwcDBkZGYwbNw4ODg51JlC3tbVFfn4+AgICms1eQgj09fWhp6cnsNi6L1++wNraGjweD9u2bcPixYsxaNAg3Lt3D23atBHIGC2NlJQUaGtr45dffsGxY8f4xydNmoT8/Hw8fvxYZLZt3LgR+/fvx8ePH6GjowNPT0+MHj0aZ8+exbx585rNDjabDU9PTzg5OcHLyws0Gg22trZwdHSEjY2NyIoLNIWbN29i6tSpmDVrFs6dO9eg2M5r165h+vTp+PDhA38C8jNTkbT9v0IzIiKCn7RdSUmp0kagK3ndkFFcuR9BCUoA6Kgkjacra06hRkHRUChBSdEooqKicP36dbi4uODTp0/8BOr29vYwMTGpkuPt0qVLmDNnDhITE6GhodEsNr59+xYDBgyAl5cXRo0aJbB+k5OTMWrUKMTHx2Pnzp1Yu3Yt9PT04O3t3WLSuwiSWbNmwdvbGxEREVBQUOAfX716Ndzd3RETEyMy24qLi6Gvrw9NTU08efIENBoN8+bNw/Xr1/Hx40d07txZaGMTQhAcHAwnJye4uroiOzsbAwYMgKOjI+zt7dGuXTuhjS1sPD09MWHCBEyaNAlXrlxpUM5GQgj69+8PZWVlPHz4UIhWtn7KysoQExNTRWh+jY6F8u+Xq3iEBSkoaQDCtlqLNLyK4seiZW4npGjxdOvWDRs2bEBYWBhCQ0Px22+/4cmTJ7CwsECHDh2wdOlSvHz5kh9PNG7cODCZTNy8ebPZbHRycoKamhosLS0F2q+GhgaePXsGAwMDrFixAhs3bkR4eDjMzc2RlZUl0LFEzYsXL3D58mXs2rWrkpgEgK5duyI+Pp7vYREFUlJS+Oeff+Dv74/Lly8DAA4dOgQlJSXMnj0bPJ7gKlRVkJiYiN27d0NXVxeGhoa4ffs25s2bh0+fPiE4OBiLFi1q1WLS19cXkyZNgq2tLZydnRucAPzJkycICQnBqlWrhGThj4OYmBh0dHQwYcIEbNiwAVevXkVISAiCPscIPTSCAIjNKhLqGBQ/F5SgpGgyenp62LlzJ6KiohAUFAR7e3u4ublh6NCh6NKlC9atW4f4+HhYWFjAzc2tWWwqLS3FtWvXMGPGDKGk95GXl8eDBw8wZswYrFu3Dr///jvi4uJgamqK9PR0gY8nCrhcLhYtWoQBAwZgzpw5Vc536dIFXC6Xv+NVVFhZWcHBwQErVqxAVlYW5OTkcOnSJTx9+hR///23QMYoKirC5cuXYWlpCS0tLezYsQP9+vXDw4cPER8fj71790JXV1cgY4mSgIAAjB07FqampnB1dW1UFoMDBw7AwMAA5ubmQrDw50CAlXprpbS5BqL4KaAEJYXAoNFoGDRoEA4fPoyEhAT4+fnBysoKZ86cgYGBAd6/f4/AwMBmqZrj5eWFrKwsODo6Cm0MCQkJuLq6YtGiRdi1axcmT56MjIwMGBsbIzk5WWjjNhdnz55FSEgIjh8/Xq2XqiLxdnR0dHObVoVDhw6hrKyMv+PcxMQEy5Ytw7p16xAeHt6oPnk8Hvz9/TF79myoqalh1qxZKC0txblz55CamoqrV6/Cysqq1ZXwq4nXr1/D1tYWhoaGuHXrVqOyF4SGhuLBgwdYuXJlq9p81NIQZzbPT3NzjUPxc0C9myiEAoPBgImJCU6fPo3U1FR4enpi+PDhIITAyMgI/fv3x4EDB5CQkCCU8Z2cnNCvXz/o6ekJpf8K6HQ6jhw5gr179+LUqVMwMjJCYWEhRowYgbi4OKGOLUyysrKwYcMG/PLLLzA0rD5fnZaWFhgMhkhjKCtQU1PDnj17cOHCBf7Gr127dqFz586YNWtWg5blIyMjsWnTJnTp0gWmpqZ49uwZVq1ahejoaDx9+hRz5sxp0Um6G8P79+9hbW0NfX193L17F1JSUo3q5+DBg9DU1MSUKVMEbOHPRSclGQhbjtP+Pw4FhaCgBCWF0KlINXT9+nVYWlqiZ8+e6Ny5MzZu3AgtLS0MHz4c//zzDzIyMgQyXmZmJjw9PYXqnfweGo2G1atX85NWa2trg8vlYsSIES3Ce9cYNm3aBA6Hgz179tTYhslkomPHji3mHhcsWIDBgwdj4cKFKC0thZSUFJydnRESEoLdu3fXem1ubi5Onz6NoUOHQltbG0ePHoWVlRUCAgIQFRWFzZs3o0uXLs10J83L58+fYWlpia5du8LLy6vR2QqSkpJw7do1LFu27KdK+C9oMjMz4XL5EpjsXAAAr6wERV8CUfQlEKVp/07eOPnp/OOcvPIwG3ZKJP8YOP9Ooopj3qLoSyCKo9/wj2kpSVMbcigEC6GgaEbOnz9PaDQaSU5OJnl5ecTJyYmMGjWKMBgMwmAwiJWVFbl48SLJyclp9BjHjh0jTCaTpKenC87weuLt7U1kZGRI3759SdeuXYmGhgYJDw9vdjuawrt37widTieHDx+us62lpSWZMGGC8I2qJx8+fCAMBoPs3LmTf2zTpk2EyWSSN2/eVGpbVlZGPD09yZQpU4iEhASh0+lk5MiRxMXFhbBYrOY2XSRERkYSdXV1oq+vTzIzM5vU1+rVq4mcnBzJy8sTkHU/D2lpaeTUqVPEwsKCMBgMQqfTib7jdtJp7T3S/tfzBOV7aGr8U7JZRjquvU9k9MxrbceQUyEd194nXdZ7ki13wkR92xQ/GJSgpGhWsrKyCJPJJMePH690PCMjg5w6dYoYGxsTGo1GxMXFyfjx48n169dJUVFRg8YYMGAAGTdunACtbhjBwcFEWVmZdO3alWhraxMVFRXy8eNHkdnTEHg8Hhk2bBjR1dUlpaWldbZfuHAh6dOnj/ANawArV64kkpKSJCoqihBCCJvNJv369SO6urqkuLiYfPjwgfz5559EVVWVACB6enpk//79JDk5WcSWNy+xsbFEU1OT9OjRg6SlpTWpr7y8PCInJ0dWr14tIOt+fJKTk8nx48eJiYkJodPphMFgEHNzc3Lq1CmSmppKIlLzSce194UiKDuuvU8i0/JF/RRQ/GBQeSgpmp2RI0eipKSEX8Lvv9SUQN3e3h7W1ta1Jon+/PkzevXqhZs3b2LixIlCuoO6iYqKgrW1NYqKiqCgoID09HQ8evQI/fv3F5lN9eHKlSuYOXMmfH19YWZmVmf7/fv3Y/v27cjPz28xmzCKior4pe68vb1Bo9Hw9OlTWFhYQEFBARkZGWjXrh2mTZsGR0dH9O3bt8XY3lwkJSVhxIgRAIBnz541uQzkoUOHsHbtWnz79q3VlJQUBYmJibh16xbc3d0RGBgIBoMBc3NzTJ48GePGjYOysnKl9jPPB+FFTFalajlNharlTSEsKEFJ0eycP38e8+fPR3JyMtTU1GptGx0dDVdX13onUF+zZg3OnTuH5ORkkdfYTktLg42NDSIjI9GhQwckJyfD29sbQ4YMEaldNVFQUAAdHR0MGzas3umdbt26hUmTJiE9Pb3Kj6EouX//PsaMGYNly5YhMjISDx48ACEEPB4Pu3btwsqVK3/aOL/09HQYGxujqKgIz549Q6dOnZrUX1lZGbp27QozMzNcunRJIDb+SMTHx+PmzZtwd3fHixcvICYmBktLS9jZ2WHs2LG11vZOyGbB4vBTsAWY3keCSYfPcmNoKv7Y5WIpmh9qUw5FszN+/HjQ6XTcunWrzrZdu3atMYF6+/btsWTJEn4CdS6XiytXrsDBwUHkYhIor9nr7++PIUOGICoqCurq6rC0tMTTp09FbVq17NixA7m5uTh48GC9r6nYqNJSNuYQQvDq1St4enpCTEwMR44cQUpKCo4ePYqUlBQMHz4c586dA5vNFrWpIiE7OxuWlpbIy8uDr69vk8UkANy4cQMJCQlYsWJF0w38Qfj27Rv2798PQ0NDdOzYEWvXrkW7du3g7OyM9PR0eHp64pdffqlVTAKApqI0tgm43vb2sb0oMUkhFCgPJYVIsLa2RmlpKfz8/Bp8Lfl/yTsXFxdcv34dKSkp6NixIwYNGgQ3NzcEBQVh0KBBQrC6cZSWlmLu3Lm4cuUKtLW1kZCQgNu3b8PKykrUpvH58uUL9PX1sWXLFmzcuLHe1xUUFEBOTg5XrlzB9OnThWhh7cTHx+Py5ctwdnZGREQEOnTogHHjxuHixYtwdHTEP/+Ul6uLiYlB7969MWPGDJw6dUpk9oqCvLw8WFhY5a0e8QAAVzZJREFUIDY2Fk+fPhVIInZCCPr27Qt1dXV4e3sLwMrWS1RUFNzd3eHu7o63b99CUlISo0aNwuTJkzF69OgmpZo67heJA48immzjKisd/GHarcn9UFBUByUoKUTCuXPnsHDhQiQnJ0NVVbXuC2qAy+UiICAArq6uuHjxIkpLS6Gjo4Np06bB3t4e2traArS68fB4PKxbtw779u1Dly5dkJiYCHd3d4wZM0bUpoEQgpEjRyIqKgqfPn2CpKRkg65XUVHB4sWLsWnTJiFZWD2FhYW4efMmnJyc4O/vDykpKUyaNAmzZs2CqakpGAwG/v77byxfvhwvX77k59M8ffo0fv31V3h7e2PkyJHNarOoKCwshLW1NT5//gw/Pz8YGBgIpF8fHx9YWlrCx8fnp6yM8/XrV7i7u8PNzQ0fPnyAtLQ0bG1tMXnyZNjY2DQ6BVN1uAbHY8vdT+DwSINiKhl0Gph0GraP7YWpA7UEZg8FxX+hBCWFSMjMzISamhqOHTuG3377rcn95eXlQU1NDQ4ODuBwOPDw8EBhYSH69esHBwcHTJ06FZqamgKwvGkcOXIEy5cvh6amJlJSUuDi4oLJkyeL1Kbbt29jwoQJuHPnDsaOHdvg6wcPHowePXo0S/wcj8eDn58fnJ2dcfPmTRQVFcHExASOjo6YNGkSZGVlK7XncrkYNGgQuFwu3rx5AyaTCUIIbGxs8PHjR4SFhVWpUf6jUVxcjNGjRyM4OBg+Pj4C9d5bW1sjIyMDb9++/Wk2Nn369InviQwLC4OMjAzGjBmDyZMnY+TIkZCREV6y8IRsFtZ7hCIgKhMMOq1WYVlxfni3dtg1QZ9a5qYQPs2+r5yC4v9YWloSU1NTgfR19uxZQqfTSWJiIiGEEBaLRdzd3cmkSZOIhIQEAUCMjIzIiRMnmpwipam4uroSMTExoqamRuh0Orl8+bLIbGGxWKRTp05k1KhRhMfjNaqPadOmESMjIwFbVpkvX76Q9evXE01NTQKAdOvWjezYsYPExsbWeW1wcDCh0+nkwIED/GOJiYmkbdu2ZNq0acI0W+SUlJSQUaNGEWlpafLs2TOB9v3hwwcCgFy9elWg/bY0eDwe+fDhA9m0aRPp2bMnAUBkZWXJ9OnTye3bt0WSszQiNZ9suRNGRux/Qjr9Pw1QxV+ntffJiP1PyJY7YVRqIIpmhRKUFCLjzJkzhE6nC0TgGRkZESsrq2rP5eXlEWdnZzJq1CjCZDL5CdQvXLjQpATqTcHX15e0adOGKCkpERqNRs6ePSsSO7Zu3UrExMTI169fG93Hpk2biIaGhgCtKicrK4v8888/xNDQkAAg8vLyZOHCheT58+cNFr+LFy8m0tLSJC4ujn/s6tWrBABxc3MTtOktgtLSUjJhwgQiISFBHj9+LPD+Z86cSbS0tOqVr7S1wePxyLt378i6detI9+7dCQDStm1b4ujoSO7du0dKSkpEbSKfwpIyEpaUS97FZZOwpFxSWFImapMoflIoQUkhMjIyMgiDwSAnT55sUj9RUVH19pRUJFA3MTGplEDd1dW1wQnUm0pISAhRVVUlcnJyBECVZO/C5tu3b0RSUpKsWbOmSf1cvHiRABCIp6a0tJTcvXuXTJo0iYiLixMGg0FsbW3J9evXSXFxcaP7zcvLIxoaGmTs2LH8Yzwej0yePJkoKSmRlJSUJtvekuBwOMTBwYGIiYmR+/fvC7z/hIQEwmQyyaFDhwTet6jg8Xjk9evXZPXq1aRLly4EAFFUVCRz5swhXl5ehM1mi9pECooWDSUoKUSKhYUFMTMza1IfmzdvJrKysg0WhImJieTQoUNk0KBBBACRkZEh06ZNI3fv3m22H49v374RbW1tIiUlRQCQ/fv3N8u4hBAyceJEoqGhQQoKCprUz7NnzwgAEhbWuFJuFd6gZcuWERUVFQKA9O7dmxw8eFCgQs/d3Z0AIB4eHvxjGRkZRFVVlYwZM6bRS/4tDS6XS2bPnk3odDpxd3cXyhgrV64k8vLyJD+/dS+pcrlc8vLlS7JixQrSsWNHAoC0a9eOzJ8/nzx69OiH9L5SUAgLSlBSiJTTp08TOp3e6LrbXC6XdOrUicydO7dJdkRFRZG//vqL6Onp8Ze35s6dS3x8fAiHw2lS33WRkZFBBg0aRMTExAgAsn37dqGLm0ePHhEA5Nq1a03uKykpiQAgd+/ebdB1KSkp5MCBA0RfX58AICoqKmT58uXk/fv3TbapOng8HrG1tSXt27evJITu3r1LAJALFy4IZdzmhMfjkd9//53QaDRy5coVoYyRm5tLZGVlm+zZFhVcLpcEBASQpUuXkg4dOhAARFVVlfz222/E19eXlJVRS8YUFI2BEpQUIiU9PZ0wGAxy+vTpRl3v7+9PAAh0w0FoaCjZsGEDf9lLVVWVLF68mLx48UJoQq+wsJDY2toSOp1OAJB169YJbSw2m0169OhBRowYIZAxuFwukZSUJIcPH66zbXFxMXF1dSWjRo0idDqdiIuLEzs7O3Lv3r1m8QZ9+/aNSElJkWXLllU6Pnv2bCIrK1uvTT4tFR6PR1asWEEAkHPnzgltnP379xMxMTGSlJQktDEEDYfDIf7+/mTRokVEXV2dACDq6upk0aJF5OnTp0KfNFJQ/AxQgpJC5JibmxMLC4tGXTt79mzSpUsXoYgvHo9HgoKCyPLly4mGhgYBQDp27EjWrFlD3r9/L/Axy8rKyJw5cwgAAoAsXbpUKPd14MABQqfTBeoJ1NXVJYsXL672HI/HI4GBgWT+/PlEXl6eACCDBw8mJ0+eJNnZ2QKzob7s3buX0Ol08vbtW/6xvLw8oqWlRUxNTQmXy212mwTB5s2bCQBy9OhRoY3BZrNJ+/btyS+//CK0MQRFWVkZ8fX1Jb/++is/lKJDhw5k2bJlJDAwsNW+zhQULRVKUFKInFOnThEGg0EyMjIadF1hYSFp06YN2bp1q5As+5cKD8fChQuJkpISAUB69OhBtm3b1qQd0v+Fx+ORTZs28UXlggULBPrDl5ycTGRlZcmiRYsE1ichhIwePZrY2NhUOvbt2zeybds20rVrVwKAaGlpkQ0bNgj0+WoMpaWlRF9fnwwYMKCSZ+rJkycEAPn7779FaF3j2L17NwFA9u7dK9RxnJ2dmxQvK2xKS0vJw4cPyfz580m7du34k8AVK1aQly9fUiKSgkKIUIKSQuSkpaUROp1Ozpw506Drrly5QgCQ6OhoIVlWPaWlpcTLy4vMnDmTyMrKEgCkX79+ZN++fSQ+Pl4gY/zzzz98UTljxox6L8nVlUJk1qxZpF27dgL3DC5dupTo6OiQ/Px8cuHCBWJsbMzf6OTo6EiePHnSon7Mnz9/TgCQY8eOVTq+ZMkSIikpScLDw0VkWcM5cuQIAUC2bNki1HF4PB7p3bs3GTVqlFDHaShsNpt4eXmROXPmEEVFRQKAdOnShaxevZoEBwf/MJutKChaOlSlHIoWgbm5ORgMBh49elTva6ysrFBSUoJnz54J0bLaKS4uhpeXF1xcXHD//n2w2WwYGRnB3t4ednZ2UFFRaXTfHh4emDJlCjgcDiZOnAhXV1eIiYlVaReZVoCrQfHw+5qO+GwWvv9A0wBoKUrDVEcFuhLZmDpyBM6cOYP58+c32q7/wuVysWTJEpw6dQri4uJgs9kwMzODo6MjJkyYINDyc4Jk4cKFcHFxwZcvX6ChoQEAYLFY6Nu3L9q2bYvnz5+DyWSK2MraOXPmDBYuXIjVq1djz549Qq1W8+jRI1hbW+PJkycwNTUV2jj1gc1m4/Hjx3Bzc8OdO3eQl5eH7t27w87ODpMnT4aBgcFPU7mHgqKlQAlKihbBqVOnsGjRIqSmpqJdu3Z1tk9MTISWlhbOnj2LuXPnNoOFdZOfn487d+7A1dUVjx49Ao/Hg7m5ORwcHDBhwgS0bdu2wX0GBgbC2toaxcXFsLa2xu3btyEhIQGgcWXYxDKj8HjXHHRSlq2xbX0JDw+Hk5MTrly5gqSkJADAqlWrsGjRImhptfyawTk5OejRoweMjY1x48YN/vGgoCAMHToU27Ztw8aNG0VoYe1cvnwZjo6O+OOPP3D06FGhCygrKytkZWXhzZs3IhFrxcXFePjwIdzd3XH37l0UFBSgR48efBGpr69PiUgKChFCCUqKFkF6ejrU1dVx+vRpzJs3r872e/bswfbt25Gamgo5OblmsLBhZGZm4ubNm3B1dcXTp08hJiaGUaNGwcHBAWPGjIG0dP3r6n769AnGxsbIysrC8OHD8fDhQ9wJy8CWu5/A4ZFaheR/odMAMQYd28b2gv3Ahou+rKwsuLq6wsnJCcHBwVBQUIC9vT2MjY1hb28PPz8/mJiYNLhfUXHt2jVMnz4dnp6esLGx4R/fuHEj9u7di9evX6Nv374itLB63NzcYG9vj9mzZ+PMmTOg0+lCHe/9+/fo27cvXFxcYG9vL9SxvofFYsHb2xvu7u64f/8+CgsLoaenxxeRurq6zWYLBQVF7VCCkqLFYGZmBjExMTx8+LDWdoQQ6Orqol+/frh69WozWdd4kpKS4ObmBhcXF7x+/RoyMjIYO3YsHBwcYG1tDXFx8Tr7SEhIwPDhwxEXF4eek5eD1c28yXattNLGItPudbYrLS2Ft7c3nJyccP/+ffB4PNjY2MDR0RGjR4+GhIQESkpKIC0tjXPnzmHOnDlNtq25IITAysoKUVFR+PTpE1/ol5aWwtDQEBwOB2/evOF7hVsC9+7dw8SJEzFlyhQ4OzuDwWAIfcyZM2ciICAAUVFRQg8DKCwshKenJ9zd3eHl5QUWiwUDAwNMnjwZkyZNQo8ePYQ6PgUFReMQ7rSWgqIB2NnZwdfXF1lZWbW2Cw4OxpcvX+Do6NhMljWN9u3bY9myZQgKCkJUVBTWr1+P0NBQjB07Fqqqqpg3bx58fHzA5XJr7ENTUxMhISHoYTNHIGISAA48isD14PhqzxFC8PbtWyxZsgTt27fH+PHjERsbi3379iE5ORl3797FpEmT+EJLUlIS7du3R3R0tEBsay5oNBpOnjyJlJQUbN++nX9cXFwczs7OiIiIwObNm0VoYWUeP36MyZMnY9y4cXBycmoWMZmQkABXV1csX75caGIyPz8f165dw8SJE6GsrAx7e3t8+/YNmzZtQmRkJEJCQrBhwwZKTFJQtGAoDyVFiyEtLQ0aGho4c+ZMrXGRf/zxB+7cuYO4uLhm+UEVFmFhYXB1dYWLiwtiYmKgqqqKKVOmwN7eHkOGDKkSD5aQzYLF4adgl3GB/5xjJ31BXtBNlCZ/BZeVBxqdCaaCGqS7D4ac4STQJapfYpdg0uGz3BiaiuXnk5OTceXKFTg7O+PTp09QU1PD9OnT4ejoCH19/Vrvx8TEBGpqanB1dW3CsyIaduzYge3btyMkJAR6enr843v37sW6desQEBCAYcOGidBC4NmzZxg5ciRMTU3h4eFRL8+2IFi5ciXOnz+PhIQEgW6wys3Nxb179+Dm5oaHDx/yvcIVnsjOnTsLbCwKCgrhQwlKihaFqakpJCQk8ODBAxSxOYjNKkIphwdxJh2dlGTABBfq6upYsGAB9uzZI2pzBQIhBG/evIGLiwuuX7+O5ORkdOzYEfb29rC3t0efPn1Ao9Ew83wQXsRkVYmZLIn7iLTrmwBe9R5OcQ0dqM08UO2GBQadBsNObTGmTRycnJzw+PFjiImJYfz48XB0dISlpWW9vVJz585FaGgoXr9+3fAnQcSw2Wz06dMHSkpKCAgI4MckcrlcjBgxAmlpaXj//r3IdqwHBQXBwsIChoaGuH//PiQlJZtl3Ly8PGhqamLRokXYtWtXk/vLzs7GnTt34O7ujsePH6OsrAxDhw7li8jWsJmLgoKieihBSdGi2P73WRz1eoceZpOQlMuukgJHUYKHb8/v49r23zFySB9RmSk0uFwuAgMD4eLiAnd3d2RlZaFHjx4YOeUXeJTqVXtN+q2dKI54CQCQ7NgbcoaTwMlNQ7bPGYDHAQCo/XIEEmrdahw36eyvMOzREY6OjrCzs2vUjvT/tXfnUVVV/R/H3/cCguAAoqIgqOAMaijmrA9qmhoogo9jjllqZk7l9DiWQ4ljOaSplRMqivNcDqiJaJioOA/gBCqKyAz3/P4w+EkMAvdeUPy+1mKtuuecvfd1FX3aZ+/vnjFjBvPmzXvtkoU31ZEjR3B1dc1QVun69evUrVuXvn37smTJknwfV1BQEK1atcLJyYl9+/ZhZmaWb33PmTOH//3vf9y+fZvy5cvnqY3Hjx+zbds2fH19+f3330lJSaFZs2ZpIdLGxkbHoxZCFAQJlOKN8GoJHEWTgkqdzatsTQqoDWhepTQzPWqnva4tbJKSkjh06BA+Pj7sf1wCY6cPMv1zCd8wgfg75wEo4zUF0yoNAHjwy0gSH14DoFyfuRhbV8+0HxUKnWpZsOBj7V7p+vj40KNHD54+fZqnQPom6N+/P9u3b+fy5cvpaoguWbKEzz//nP3799O2bdt8G0/qDn97e3sOHTqUrxUNEhMTsbe3p127dqxcuTJXz4aHh+Pn54evry9HjhxBURRatmyJl5cXHh4eeQ6nQog3lwRKUeB8AkPzVALHQK3CUK3Kcwmct0nz7/8g7GlcpteendhAlP/L3e4mFetQopEXyU8fps1QGpW2o3z/RagMsn51XdHSlKNjtCtWHRgYyPvvv8/Zs2epV6+eVm0VlMePH1OjRg3at2/PmjVr0j5XFIV27dpx6dIlgoODsbCw0PtYrl69SosWLShXrhx//PEHpUqV0nufr/rtt9/o27cvFy9ezFF5ngcPHrB161Z8fX05duwYKpUKV1dXvLy86Ny5M1ZWVvkwaiFEQZFAKQrUj4ev4X3gqtbt5LQEztvoRUIytafuJ6t/UZXkJCIPLOVF8CFQNOmumTm1wsJ1AAZm5tn2oQIuTG2HmXHed/E+efKE0qVLs2nTJrp27Zrndgra6tWrGTBgAAcPHqRNmzZpn9+9excnJyfc3NzShU19uH37Ns2bN6d48eIcOXJEqxOX8kJRFOrWrYudnR27du3K8r67d++mhcjjx49jYGBA69at6dq1K506dcrRIQVCiMJBygaJAuMTGKqTMAnZl8B52915EpNlmATAwBBDSxvUJhk3jMTfCiLh/pXX9qEAt5/E5HmMAKVKlaJkyZLcvHlTq3YKWr9+/WjRogVDhw4lPj4+7fMKFSrwww8/sHbtWrZu3aq3/u/evUurVq0wNjbm0KFD+R4m4eUxi8HBwYwZMybDtTt37jBv3jyaNGmCra0tY8aMoUSJEqxatYrw8HD27dvHwIEDJUwK8Y6RGUpRINJK4CRrMlxLiYvmecAWEu5dJvHBNZTkBADMnFpT+qORWbb57xI4b6OEhAQiIiIIDw/n4cOHhIeHE3w/mm2xWc++PvNfR9SJDQAUr++GeYuPSX72kPBNk9HEPAMDQ2wG/YShefavHP2GNMHZTrtXufXq1cPFxYXly5dr1U5BCwkJoW7duowfP55p06alfa4oCp6envj7+3PhwgWdv8YNDw+nRYsWxMfH4+/vX2C7ntu0aUNUVBSnT59GpVJx8+ZNtmzZgq+vL6dPn8bY2Jh27drh5eWFm5vbW7tmVgihO/o98kCILEzwCyY5i/WSKc8f8fyUb67bTNYoTPALZs3AhtoOT6fi4uIIDw/P0c+zZ88yPF+mqjOmnt9k2f6Lv///ZKGSTbqhNjaliJU9ptWa8CJoD6QkE3fzDMXrdcx2nEUMtX9h4eDg8NYVN89MzZo1+frrr5k9ezY9e/akevWXG5pUKhU//fQTjo6OfPbZZ/j5+ens/OgnT57Qpk0boqOjCzRM/vXXX/z+++/Mnz+f2bNn4+vry19//YWJiQkdOnRgxIgRdOzY8Y088lQIUXAkUIp8dy08Gv/rj7O+wcAQY1snjG1qkBIbRcz5gzlqN0Wj4H/9MdcjoqlStriORpu5mJiY14bD1BnG6OjodM+qVCpKly6NlZUVVlZWVKhQgfr162NlZUW5cuXSPreysqJMmTIkalQ4ZbOGMiXuedpfa5LiSd0HriT+/yYeTWLmG3pSKYrCyE9607D+ezRo0IAGDRrkaSeug4MDZ86cyfVzb6KJEyfi4+PD4MGD+eOPP9KCY5kyZVi+fDkeHh5pG1e09ezZM9q2bUt4eDhHjx7FwcFB6zbz4vLly/Tv358iRYowcuRITE1N6dixI2PHjqVDhw4FVodTCPHmk0Ap8t26gFAM1Kosd3QXKW1HuV4vi5ZHB+3JcaCElzu/154KZaq7Y67GpCgKL168yDQQZvYTE5N+vaFaraZMmTJpgbBy5co0atQoXThM/SldunSujrAzAuxKmXInMjbT60VKVyQx/OWsYOTeHyjxvgfJzx4Sc/n4/99jZZ9tHyXUCRRRKyxfvpxvv/0WeLlmMDVcvv/++7i4uFCyZMls27G3tyc0NJTExMR8O8lFX4oWLcqSJUto164da9asoU+fPmnXOnfuTJ8+fRg+fDiurq5azSZGR0fToUMHbt26xZEjR6hZs6Yuhp8jiqJw6dIlfH192bx5MxcvXgReLl2YOHEiH374Ydr55kIIkR1ZQynyXcs5h7MMR/8WHbSHyP0vi0m/bg1lqtQSOIqiEBUVlePXzXFx6WfxDA0NKVu2bKah8N8/lpaWej0GcuqOi6wJuJNpCI+9fppHW77NsMM7lUnFupTt/m3Wr2Y1KbxvkcAvwztStGhRwsLCOH36NIGBgQQGBnLmzJm0WdZq1arx/vvvpwXN9957j6JFi6Y19fvvv9OmTRuuXr1K1aqFY9d9z549OXjwIJcvX8bS0jLt82fPnlG7dm2qV6/OgQMH0k7XyY3Y2Fg6duyY9prZxcVFl0PPlKIoBAcHs3nzZnx9fbl8+TIlSpTA3d2d58+f4+/vT2hoqMxGCiFyRQKlyFevK4Hzb3kJlCgKyuZRhN8LJSEhId0lIyOjbIPhq6+cLSws8hQS9OFaeDQfLDiW5fX4u5d4HrD15Vnecc9RGRhiaGGNWY3mlHi/MyrD7GcL7/88BLPkaPr168fgwYPT1gwCaDQarly5khYwAwMDCQoKIjExEUNDQ2rXrp0WMG1sbOjQoQP79u2jXbt2Ovv+Benhw4fUqFEDLy8vfv7553TXDh06xAcffMAPP/zAsGHDctVuQkICnTp1wt/fnwMHDuj1rHBFUQgKCsLX1xdfX1+uXbuGubk5nTp1wsvLiw8++IC4uDhsbW0ZPnw4M2bM0NtYhBCFkwRKka8u3o+i4w/HX3/jP/IUKIEO6r+pWa54hsBobm6us00U+S2rs7y1YaBW0cTekmmuZfjpp59YtWoVjx8/plWrVgwZMoROnTphZGSU4bnExESCg4MJDAxMm828dOkSGs3LWVJ7e3vc3d3TZjMdHBze2j93gGXLljFkyBCOHTtG8+bN010bNmwYq1at4ty5c1SrVi1H7SUlJdG1a1f279/P7t27adWqlc7HnHpGfOpM5K1btyhVqhSdO3ema9eutGrVKt2yhO+++47Jkydz584dypUrp/PxCCEKNwmUIl8FhT7FY+nJHN+f10BZ7fZ27Mw0WFpapvspVapUur/PLCy9qbIrtZRX/y61lJCQgK+vL0uXLuXEiROUL1+eTz75hEGDBmFra5ttWy9evCAoKIguXbpgaWlJUlJSWk1KCwuLtFnM1B9ra2udfQ9902g0NG3alKioKM6dO5cuiMXExFC3/vuY21Zl2fKfKWpsRCVLsyyLxKekpNCrVy+2bt3K9u3bad++vU7HGRAQkDYTGRoaSunSpenSpQteXl785z//yfSf+YSEBCpXrkyHDh0yzMIKIUROSKAU+Sq/Zijtr2wk5t4Vnjx5wpMnTzItxwNQvHjxDKHzdT/FixcvsNk2n8BQxm0N1ll733WpTbcsjq08f/48y5YtY82aNcTGxuLm5saQIUP44IMPsl0K8OGHH1K0aFH8/Px4/PgxZ86cSXtVfvr0acLDwwGwsbFJFzBdXFzy5UjDvDp//jz16tVj+vTpTJgwgWvh0awLCOXwlYgMa4JVvNxI5Vq9LL0a2lHV6mXVAY1Gw4ABA1i7di2bN2/Gw8ND63FpNBpOnjyJr68vW7Zs4e7du1hZWdGlSxe6du1K8+bNX7sJ7JdffqF///5cunQpXzcFCSEKDwmUIl/FJCRnWwLn3/ISKDM7RjA5OZmnT5+mBcyc/iQmJmZo38jIKMNM5+t+SpUqpbPZUF0dV/lV2+p87lrltfdFR0ezbt06li5dyvnz53FwcOCzzz6jf//+mZ6GMnToUI4fP8758+czXFMUhbt376Z7VX7mzBmeP39Z+qhq1appu8obNGiAs7Nzuk0/Be2rr75iyW+b+HDSL5y9F5tttQIg7XrzKqWZ0dmJWf8bw08//cS6devo0aNHnseRkpLC8ePH2bx5M1u3buXBgwdYW1vj6emJl5cXTZs2zfEmMUVRqF27NpUrV2bnzp15HpMQ4t0mgVLku9ft8tYkxRN342Utw/jb53hxbh8Axna104pzG5evhmHJzI+kS93lrS1FUYiJicl1CI2Kisq0vRIlSuR6NrRYsWKZzob6BIYyZcdFkjVK7tZUKhqMjQyZ7u6Y5cxkdn8eJ0+eZOnSpWzevBmVSkXXrl0ZMmQIjRs3Thvn3LlzmTJlCtHR0TmaydVoNFy7di3dzvKgoCASEhIwMDDAyckp3c5yJyenXJVd0qVfj19j8vYLqAwMQZXzDVsGahVKSjKP9i5m0Yju9O/fP9d9Jycnc/ToUXx9fdm6dSsRERFUqFABLy8vvLy8aNy4cZ42ke3du5cOHTpw9OhRWrRokevnhRACJFCKApBdCRyA5Gfh3Fs2MNs2LDuMoFidNhk+N1Cr+LhhxVzXodSl5ORkIiMjcx1Ek5KSMrRlZGSUZdg0Mi/HiUQ7bsYZo1ZBdrkydaYs7tZfTOtYg8Efd9XqOz569IjVq1fz008/cfPmTerWrcuQIUPo1asXhw4dwsPDg4cPH+b5aMLExEQuXLiQ7lX5xYsX0Wg0FC1aFGdn53Q1MqtUqaL3ZQj/PzOs8HIePHcURUGlUjGmbTWGueaspFJSUhKHDx/G19c3bQlBxYoV6dq1K15eXjRo0EDrSgStWrXixYsXBAQEvNUbp4QQBUsCpch3ryuBo02gBDg0soXeT8rRtdTC6rkNolFRURhZ2lLMuT1F7V0wtCifPhQoCkaJUZRODKem4WP+3O/HgwcPmD9/PjY2NjmaDc2ORqPhwIEDLF26lF27dmFmZkb79u3ZtGkTJ06coEmTJjr7M4qJiSEoKCjd6/LUYx7Nzc1xcXFJN5NpY2Ojs77zc+1qYmIihw4dwtfXl23btvH06VPs7e3TQmT9+vV1FvzOnj2Li4sLmzZtomtX7f4nQwjxbpNAKQqEPkvgvGlneetTUlJSurWh9yOecD08ik2+W3kU/oC2jZ2JehKRdj0iIoJHjx5l2laRIkXytDY09fVzaGgoK1asYPny5URERFCtWjWmTJmCp6cnxsbGevn+T548ybDp5+HDhwCUL18+XcB0cXGhVKlSue4jq931d5cMIOV5RLbPWvWYiUnFOhk+//fu+vj4eA4ePIivry/bt28nKiqKqlWrpoXI9957Ty+zhz169CAgIICrV68W2DICIUThIIFSFIj8KIHzLps4cSJr167lzp07Ga5Nnz6d6dOns3//fszNzXM8G5q6cebfSpYsmS5kWlhYsGXLFkxNTXn27BnFixenffv29O7dmzp16mBpaYmZmZleApKiKNy7dy9dwDxz5kzautYqVaqke1Xu7Oz82qMFs/qfnxwFyt7fY1KhVobPDdQqGlYy579lIvD19WXHjh1ER0dTs2bNtBDp5OSk11fQt2/fpkqVKixYsCDXRdmFEOLfJFCKApOfrxHfNUuWLGHEiBHEx8dnWGMXHx+Pk5MTlStX5sCBAzkOLUlJSdm+kn/1WmBgIIqikJKSkuna0CJFiuR6g5KFhUWeZtE0Gg3Xr19P96o8KCiI+Ph4DAwMcHR0zLDpJ3VHfnbLMxIeXENJTl8FICnyLpF7fwDAoFgpbIasermBJwv3VgymprVF2saaWrUyhk99GTFiBGvWrCE0NBQzM7N861cIUThJoBQFSusSOIoCKhWDG1szzt1ZdwN7y23btg0PDw8iIiIoU6ZMhuu7d+/mo48+YvPmzXh5eem8/48//phbt27h7+/PixcvCAsLY8OGDWzcuJFr165hYWGBs7MzlStXJi4uLsezoebm5rkOoqamphlCc1JSUrpNP4GBgVy4cIGUlBRMTEzSNv2EV2jB6acm2W54elXkgWVE/7ULgJJNe2DevFeW96pQcK9pzsI+zXLWuA49ffoUW1tbRo4cyTfffJPv/QshCh8JlKLA5bUEjoFahYEKYo6txi7pLocPH8bExESPI317nD59moYNG3Lu3Dnq1q2b6T3u7u4EBQUREhJCsWLFdNr/lClTWL58OQ8ePMhwLTAwkKVLl7JhwwZSUlLo0qULQ4YMoUWLFmnB73WzoVn9JCcnZ+jP2Nj4tetAU1/Dh4eHc/PmTS5cuMDZs2eJbf01RhY5O9FHkxjP3cV9UBJiQW2AzZBVGBa3zPYZXZW4yq1Zs2Yxbdo07ty5k+ed+EII8SoJlOKNEBYZywS/YPyvP85VseiZHrV5cP0CLVu2xNPTkzVr1kjpE+Du3bvY2tqyZ8+eLI/2u3nzJrVq1WLkyJHMmjVLp/3/9ttv9O3bl5iYmCzXKD59+pRff/2VZcuWceXKFWrVqsXgwYPp06cPJUuWzHWfiqIQHR2d6xAaHR2daXvmZcpRcsAKyOE/T9FBe4ncvxgA0xrNKNN53GufyawIv74lJCRQqVIl3NzcWL58eb71K4Qo3CRQijdK2nF2VyMIfRKb7kQdFWBnaYprtbL0bmSXrjTQxo0b6d69OzNmzGDChAn5Pu43TVJSEsbGxixfvpxPPvkky/umTZvGjBkzCA4Opnr16jrr/8SJEzRr1ozg4GCcnJyyvVdRFA4fPszSpUvZtm0bRYoUoWfPngwZMoR69erpbExZSUxMzPQUpSvhMWyKdshxO/dXDiPp0W0ArHrOwsSudo6e2/1FMxytcx+g82rVqlUMHDiQkJAQatSokW/9CiEKNwmU4o0Vk5DM7ScxJCZrKGKoppKlWbYzOVOnTmXatGls2bKFLl265ONI30zlypVj6NChTJ48Oct74uLicHR0pGrVquzbt09ns7upRwFu27aNTp065fi5+/fv8/PPP7N8+XLu3bvH+++/z5AhQ+jWrVu+H8EYFPoUj6Unc3RvfNhFwteNBcCotB3WnyzJcT9+Q5rgbJc/Z5hrNBqcnJyoWrUq27dvz5c+hRDvBu2OWBBCj8yMDXG0LomznQWO1iVf+1pw8uTJ/Pe//+Xjjz8mKCgon0b55rK2tub+/fvZ3lO0aFEWLlzIgQMH8PPz01nf5cqVw9TUlJs3b+bqOWtrayZPnszt27fx8/PD3Nyc/v37Y2Njw+jRo7l27ZrOxvg6RQxz/usxOmhP2l8Xr/eR3vrR1t69ewkJCWHMmDH51qcQ4t0ggVIUGmq1mtWrV1OrVi3c3d0z3RDyLslJoARwc3OjY8eOjBgxgpiYGJ30rVKpsLe3TzvJJrcMDQ3p3Lkz+/fv59q1awwcOJBffvmFatWq8cEHH7B169ZMN+DoUiVLsxwdsJgS84zYKycAUBmbYuaU8002qn/6yS/e3t40bNiQZs3yf2e5EKJwk0ApChVTU1O2b9+ORqOhc+fOxMXFFfSQCkxOAyXAwoULiYiIYObMmTrrX5tA+aoqVaowZ84c7t27x2+//UZMTAyenp5UrFiRqVOncu/ePR2MNiMzY0PsclAk/8Xf+yHlZbgt5tgKdZGcv5q3szTNtw05Z86c4ciRI4wZM0Y2rgkhdE4CpSh0rK2t2bFjB8HBwQwYMIB3dZlwbgKlg4MDY8eOxdvbW2evlR0cHHL9yjs7JiYmfPzxx5w8eZJz587h5uaGt7c3FStWpEuXLhw8eBCNRncnLwG4Vi+LgTrr8KVoUog+ty/t74vX65jjtlUouFYrq9X4csPb2xt7e3s8PDzyrU8hxLtDAqUolOrXr8+vv/6Kj48P3377bUEPp0BYW1sTHh6e41fD48aNw9rami+++EInIdzBwYFbt26RkpKidVv/VrduXZYtW8b9+/dZtGgR165do23bttSoUYO5c+fy5MkTnfTTq6FdtiWs4q4HkvL85dnoJhXrYFTaNsdtK6honrMSl1q7desWmzdvZtSoURgYGORPp0KId4oESlFode3alenTpzN58mQ2b95c0MPJd9bW1mg0GiIisj9vOlXRokVZsGAB+/fvZ9u2bVr3b29vT1JSEnfv3tW6rayUKFGCoUOHcv78efz9/XFxcWH8+PHY2NjQt29fTp06pVU4rmpVnOZVSpPVJKVptUZUHLeLiuN2YdUj58sFDFTAwxCmjPhML4H73xYsWIC5uTn9+vXTe19CiHeTBEpRqP3vf/+je/fu9O3blzNnzhT0cPKVtfXL6a+cvvaGl6fntG/fnhEjRhAbG6tV/w4OL2s46vK1d1ZUKhXNmjVj/fr13L17l6lTp3Ls2DEaN25M/fr1WbFiRZ43HP3H7AEpSQkvj/nUEUMDNfN6vM/JkyeZO3euztrNTGRkJD///DOff/65nNkthNAbCZSiUFOpVKxatYratWvTqVMnvW3geBPlJVCqVCoWLVrEw4cPtT49p2LFiqhUKp1szMmNsmXLMm7cOK5fv87u3buxsbHhs88+S3udf+nSpRy3tXTpUj7t5UmZO0dyfGJOTkx3d6RL2xZ89dVXTJo0ieDgYJ21/W/Lli0jJSWFzz//XG99CCGEBEpR6BUtWpRt27ahVqvp1KmT1jNvb4uyZctiYGCQq0AJL3dVf/3113z//fdcv349z/0bGxtja2ubLzOUmTEwMKBDhw7s3LmTW7duMWzYMDZt2oSjoyMtW7bEx8eHxMTETJ9VFIWJEycydOhQevbsyY2DazAP9dfJuMo+DKDLe+UBmD59OtWqVaNPnz5ZjkUb8fHxLFq0iL59+8qZ3UIIvZJAKd4J5cuXZ8eOHYSEhNCvXz+d7wZ+E6nVasqXL5/rQAkwfvx4ypcvz/Dhw7Vag+jg4JDvM5SZqVixIjNmzCAsLAwfHx9UKhU9evTA1taWCRMmcPv27bR7k5KS6NevHzNnzmTSpEkcPXoUGxsbjiwex+wutTE2VGe78zszBmoVxoZq+lQ34Ny62Wn/DBobG/Pbb79x4cIFvvnmGx1/a1i3bh0RERGMGjVK520LIcSrJFCKd4azszNr165l8+bNTJ8+vaCHky9yUzroVaampsyfP5+9e/eyY8eOPPevq1qUulKkSBG6devGkSNHuHjxIt26dWPx4sXY29vz0Ucf4evrS8eOHdmwYQMrV65kx44dKIrCvn37MDc3p3sDOw6NbEkTe0uA1wbL1OtN7C05NLIl0/t9yPr16/Hx8WHYsGEoioKzszNTpkxh1qxZnD59WmffVaPR4O3tjbu7u07PaRdCiMzIWd7inTNr1iwmTJjAhg0b6N69e0EPR688PDxISEhgz549r7/5XxRFoUOHDly+fJlLly7l6SztWbNmMWfOHCIjI3P9bH6JiYlh/fr1LFq0iAsXLqBSqejXrx/Xr1/n/PnzHD9+HCcnpwzPXQuPZl1AKIevRhD6JJZXf5GqeFm03LVaWXo3sqNK2eLpnl25ciWffPIJEyZMYMaMGSQnJ9O0aVOioqIICgrSybnlu3btws3NDX9/fzkZRwihf4oQ7xiNRqP07t1bMTExUQICAgp6OHo1dOhQpU6dOnl+/urVq0qRIkWUyZMn5+n5jRs3KoASGRmZ5zHkh8uXLyuVKlVSypQpo7i5uSlqtVoBlNatWyvHjh1TNBpNts+/iE9SLtx7pvx1J1K5cO+Z8iI+6bV9ent7K4AyZ84cRVEUJSQkRDExMVG+/PJLXXwlpUWLFkqjRo1eO3YhhNAFeeUt3jkqlYoVK1bw3nvv0alTJ73WSSxoeX3lnapq1aqMGTOG7777Lk+vru3t7QHeqNfe//bnn3/SpEkTTE1NOXPmDLVq1UKj0fDxxx8TGhpKixYtqF27NosXL+b58+eZtmFmbIijdUmc7SxwtC6Zo+MUR48ezcSJE/nqq69YuXIlNWrUYPbs2SxcuJDDhw9r9Z1Onz7NsWPH5JhFIUT+KehEK0RBefjwoWJra6s4OzsrL168KOjh6MWqVasUQImPj89zGy9evFBsbW2Vjz76KNfPRkZGKoCycePGPPevT35+foqJiYnSvHlzJTIyUlm0aJECKPPnz1cURVFSUlKUgwcPKl26dFEMDAwUMzMz5dNPP1WCgoJ00r9Go1GGDh2qqNVqZfPmzUpKSori6uqqVKxYUYmKispzu127dlUcHByU5ORknYxTCCFeRwKleKedO3dOMTMzU7p06aKkpKQU9HB0bt++fQqg3L59W6t2fH19FUDZsWNHrp+1sLBQZs6cqVX/+rBkyRJFrVYrXl5eSlxcnOLr66uoVCpl1KhRmd5/9+5dZerUqYq1tbUCKI0aNVJ+/fVXJS4uTqtxpKSkKD179lSMjIyUffv2Kbdv31aKFy+uDBgwIE/t3bhxQ1Gr1crixYu1GpcQQuSGBErxztu+fbuiUqmUiRMnFvRQdO78+fMKoJw8eVKrdjQajdK2bVulcuXKSmxsbK6erV+/vjJw4ECt+tcljUajjB8/XgGUL7/8UklJSVH8/f0VY2NjpVu3bq/9H4vExERly5YtSps2bRRAKVWqlDJmzBjl2rVreR5TYmKi8tFHHymmpqbKiRMnlJUrV2Yb4LNbszls2DDF0tJSiYmJyfN4hBAit2SXtxDA999/z9ixY1m7di29evUq6OHozJMnTyhdujS+vr54enpq1dbVq1dxcnJi4sSJTJkyJcfPdevWjUePHvHHH39o1b8uJCYmMmjQIH777Te8vb0ZNWoUISEhNGvWjLp167Jv3z6MjY1z3N61a9dYtmwZq1ev5unTp7Rt25YhQ4bw0UcfYWj4+nWUr4qLi6N9+/acO3eOI0eOMGnSJAIDA7lw4QKlS5f+/13lVyIIjcxkV3kpUxpVLMHS0T0YOaAH06ZNy1X/QgihDQmUQvCyRE7//v3x8fHhyJEjNGrUqKCHpBOKomBiYoK3tzdffPGF1u2NHz+eBQsWcPHixbQNN68zYcIE1q1bx507d7TuXxvR0dF4enpy5MgRfv31V3r06MG9e/do3Lgx5ubmHDt2DHNz8zy1HRcXx6ZNm1i6dCkBAQFUqFCBQYMG8cknn6QdgZkTz58/x9XVlXv37rF161bc3d1p2tad4q0/4/j1xxioVaRosv6VrUJBQUVDuxJ4d6uPbSnTPH0fIYTILQmUQvwjISGB1q1bc/36dU6fPo2dnV1BD0knKleuTPfu3bU+mxte1mysUaMGzs7OOS54/vPPP/Ppp58SHx9PkSJFtB5DXjx48ICOHTty48YNtm3bhqurK1FRUbRo0YLIyEj+/PNPKlSooJO+goKCWLp0KevWrSMhIYHOnTszZMgQWrVqlaMd148ePaJFixYvZyw//4bd4WYYGhVBQ853axuoVRiqVUxzd6R7g8Lxz7EQ4s0mZYOE+IexsTF+fn4ULVoUd3d3Xrx4UdBD0gltSwe9yszMjHnz5rFz5052796do2ccHBxQFCXd8Yb56fLlyzRu3JiIiAiOHz+Oq6sriYmJdOnShdDQUPbt26ezMAkvT2Ravnw59+/fZ8GCBYSEhNCmTRtq1KjB/Pnzefr0abbPlylThgMHDqDUasfeyFKoDXMXJgFSNAoJyRrGbQ3mx8PXtPk6QgiRIxIohXhFmTJl2LlzJzdu3KB3796F4sxvXQZKAC8vL9q0acPw4cOJj49/7f0FWYvy5MmTNG3alGLFivHnn39Su3ZtNBoN/fv35/jx42zfvh1HR0e99F2yZEmGDRvGhQsXOHr0KM7OzowdOxZra2v69+9PYGBgls+eeKigquv+8m+0rCPpfeAqGwNDtWpDCCFeRwKlEP/i5OSEj48PO3bsYOLEiQU9HK3Z2NjoNFCqVCp++OEHwsLCmDNnzmvvr1ChAkZGRty8eVNnY8iJbdu20bp1a5ycnPD398fW1haAcePGsWHDBtauXUuLFi30Pg6VSkWLFi3w8fEhLCyMSZMm8ccff/D+++/j4uLCypUriYmJSbs/LDKWKTsuZtpW4sMbPD3yCw/XjOHuj324831nwhb2JGLzNOLDLmQ5hsk7LhIWGavz7yaEEKkkUAqRiY4dOzJnzhxmz57Nb7/9VtDD0YquZygBatSowciRI5k5c+ZrX2UbGBhQuXLlfJ2hXLJkCZ6enri5ubF//34sLCwAWLRoEXPmzGH+/Pl07do138aTysrKigkTJnDz5k127tyJlZUVgwYNwsbGhi+//JKQkBAm+AWTnMXGm+hze3l+ypeEe5dJeREJmmQ0cc+JuxFI+PoJxF45melzyRqFCX7B+vxqQoh3nARKIbIwatQoBgwYwKBBgzhx4kRBDyfPrK2tefbsGbGxup2hmjRpEpaWlowYMeK199rb2+dLoFQUhQkTJvD5558zfPhwfHx8MDExAcDX15cRI0YwZswYvvzyS72PJTsGBgZ89NFH7N69mxs3bjBkyBA2bNhA3ebt8L/+ONud3AZmFpRo0o2y/51GafevMCz1z/pPRUPk7z9n+kyKRsH/+mOuR0Tr4+sIIYQESiGyolKpWLp0KY0aNcLDw6PANpVoK7Vsja5nKYsVK8a8efPYvn07e/fuzfZeBwcHvb/yTkxMpF+/fsyaNYu5c+cyf/581OqXv+KOHTtG79696d69O999951ex5FblStXZtasWYSFheE5bgEoWa/bNXN0xXrwCixafExR+/qY1WpJmU5fp11PeR5BSsyzTJ81UKtYe0rWUgoh9EMCpRDZKFKkCFu2bKFYsWK4ubkRHf32zfDoK1ACdO3alVatWjF8+HASEhKyvC81UOqrStnz58/56KOP2LBhAxs2bGDUqFFp1y5evEinTp1o2rQpq1evTguZbxpjY2PuKxagynp8JraOqI1M0n1mWCp9nUuVUeaF2VM0CoevRmg/UCGEyMSb+ZtViDdI6dKl2bVrF6GhofTs2ZOUlJSCHlKu6DNQqlQqfvzxR27fvo23t3eW99nb2xMbG8vDhw91PoYHDx7QsmVLAgIC2L9/P927d0+7du/ePdq3b4+dnR1bt27N1Sk4+e1FQjKhedg48+q6SeMKjqiLFM3y3tAnscQkJOdpfEIIkR0JlELkQK1atfDx8WHPnj2MGzeuoIeTK8WLF8fMzEwvgRKgZs2ajBgxghkzZmR5Go6DgwOAzl97p9aYfPToUVqNyVRRUVG0b98egD179lCyZEmd9q1rd57EkNv524SH14k8+NPLvzEwwqLNoGzvV4DbT2KyvUcIIfJCAqUQOdS+fXvmzZuHt7c3q1evLujh5JhKpdLLTu9XTZ48GQsLC0aOHJnpdX3Uojxx4kSGGpOpEhIS8PDwICwsjH379mFjY6OzfvUlMTl3NU/jwy4SvmECSkIMqA0o4/4VxuWq6LwfIYTICQmUQuTC8OHD+fTTT/nss8/w9/cv6OHkmL4DZfHixZk7dy5+fn7s378/w3VTU1PKlSunsxlKPz8/2rRpQ+3atdPVmATQaDT069ePkydPsmPHDmrVqqWTPvWtiGHOfx3H3fqLiE2TURJiwcCIMp3HY1q9ic77EUKInJLfLELkQuqawaZNm+Lh4ZHvxbrzSt+BEqBbt264urryxRdfZLpBx8HBQSczlIsXL8bT0xN3d/d0NSZTjR07lo0bN7J27VqaN2+udX/6FBMTw4kTJ1iwYAHfjv0ScrBpKfbKSSJ8p6MkJaAyMqFs1ymYVmuUo/5UQCVLMy1HLYQQGUmgFCKXjIyM8PX1xcLCAjc3N54/f17QQ3qt/AiUqSfo3Lp1i3nz5mW4rm0tSkVRGD9+PMOGDWPEiBFs2LAhwyabBQsW4O3tzcKFC/Hy8spzX/qQkJBAYGAgS5cuZcCAAdSpU4cSJUrQrFkzxo8fz+3rVzBV4rJtI+bycR5tmw0pyYCKks16oDIwIj7sYtqPkpyU5fN2lqaYGRvq+JsJIQTIbxYh8sDS0pKdO3fSqFEjunfvzs6dOzEwMCjoYWUpNVAqioJKy7Ohs+Po6Mjw4cP55ptv6NWrF3Z2dmnXHBwcOPDHUS7ejyIxWUMRQzWVLM1yFHASExP55JNPWLNmDXPnzk1XFijVpk2bGDVqFF9//TVffPGFTr9XbiUnJ3Pp0iUCAwM5c+YMgYGBnD9/nqSkJAwNDalTpw6NGzdm+PDhuLi44OjoiJGREVN3XGRNwJ0sC5vHXQ98pU6lwrPDGdfy2gxeiaG5VYbPDdQqXKuV1eXXFEKINCpFX4XhhHgHHDhwgA4dOjB8+PBMZ+XeFD4+PvTo0YOoqChKlCih176eP39OjRo1aNKkCb6+vlwLj2ZdQCg7ztzgSaI6XaBVAXalTHGtXpZeDe2oalU80/Y8PT05duwYv/76a7qyQKmOHj1K27Zt6dq1K7/99lu+1prUaDRcvXo1LTieOXOGoKAg4uLiUKvV1KxZkwYNGuDi4kKDBg2oU6dO2uk9/3b14XPaLsx6be7jXfOJufB7tuPJKlACHBrZgiplM/4ZCyGEtiRQCqGlH3/8kS+++ILly5czaFD2ZVsKir+/Py1atCAkJIQaNWrovb/169fTd+goPpiwiktPFQzUquyPE/znevMqpZnpURvbUqbAyxqTHTp04NatW2zbto3//Oc/GZ69cOECzZo1w8XFhT179lCkSBF9fS0UReH27dvpwuPZs2fTlj1UrVo1LTi6uLjg7OxMsWLFctT2yZMnGT16NDcrdqBopfeyLXCeWwZqFU3sLVkzsKHO2hRCiFdJoBRCS4qi8Pnnn7NixQoOHjyYaegpaDdu3KBKlSr8/vvvtGrVSu/9bTgdygTfv1BUalDnfCmAgVqFoVrFNHdH3isey4cffkhycjJ79+5NVxYo1d27d2ncuDGWlpYcO3ZM57Ov9+/fT/fa+syZMzx58gQAOzu7dOGxfv36GTYI5cSNGzcYN24cvr6+1KtXj7HTv2fSqUQSdFjex9hQzaGRLdOCuhBC6JqsoRRCSyqVioULF3L16lU8PT0JCAigSpXX1wPMT+XLlwf0c1rOv/14+BreB66CgVGun03RKKRoFMZtDSYhcDOWxYqxd+/edGWBUj179oz27dujVqvZs2eP1mHy8ePH6YJjYGAgDx48AMDKyooGDRrwxRdf0KBBA+rXr4+VVeavlXMqMjKSb7/9lh9//JGyZcvy66+/0rt3b9RqNZqyoYzbGqxV+6+a7u4oYVIIoVcSKIXQASMjIzZv3kyjRo1wc3Pjzz//xNzcvKCHlcbU1BRzc3O9B0qfwNCXYVIHjBt0ZfSH4zMNkwkJCXTu3Jl79+5x4sSJtOMlcyoqKoqzZ8+mC5C3b98GwMLCAhcXF/r37582A2ljY6OzzUyJiYksXryYb775hqSkJKZMmcLIkSMxNf3/wNe9gR2PXyTo5M/yq7bV6dbA7vU3CiGEFiRQCqEjFhYW7Ny5k4YNG9KtWzd2796NoeGb86+YtbU19+7d01v7YZGxjF2+g2cXjpIQdoHkqAhSYp+jNjbF2Lo6JRp5YmLrlHZ/fGgwLy78QcK9EJKf3IN/Dh606jETk4p1AJh96CZtatumm13TaDT07duXU6dOcejQIWrWrJntuGJjYwkKCko383j16sugVqxYMerVq4enp2faq2t7e3u97IRXFIWtW7cyduxYbt26xaBBg5g2bVqWM53DXKtSupgxU3ZcJPmfmducSl06MN3dUcKkECJfvDn/tROiEKhWrRq+vr60a9eO0aNHs3DhwoIeUhp916Kc4BfM07N7iA7am+5zTdxz4m4EEnfzLGU6j0s70SX26p/EnD+YbZvJGoUJfsHpNpN89dVXbNq0CV9fX5o1a5bu/oSEBIKDg9OFx4sXL6LRaDA2NsbZ2Zm2bdsyceJEXFxcqF69er6UewoICGD06NGcOHGCDh065PgEn+4N7GjqUJoJfsH4X3+c481NTewt021uEkIIfZNAKYSOtW7dmh9//JEhQ4ZQs2ZNBg8eXNBDAl4GyuvXr+ul7Wvh0fhff4yiKBiYWWBWty0mFWqhiX/Bs+MbSI68C4qGyN9/TguUBmbmmFZvirFNDaLP7SM5MuPsaYpGwf/6Y65HRFOlbHHmz5/PvHnz+OGHH3B3d+f8+fPpXlv//fffabUea9euTePGjdPWPabWesxPt27dYvz48WzcuJE6depw8OBB2rRpk6s2bEuZsmZgw7TyS4evRhD6JJZXY6WKl0XLXauVpXcjOykNJITIdxIohdCDwYMHc+nSJYYNG0a1atXyZWf161hbW3Ps2DG9tL0uIBQDtQozR1csWn+C2uj/6ywaWdryYPVwAFKeR5AS8wwDM3NKNv5v2j0xl49n2baBWsWaU3cwv3GQUaNGUb9+fTZs2MDXX39NXFwcKpWKWrVq4eLiQr9+/XBxcaFu3bpZ1nrMD8+ePWPGjBksWrSI0qVLs2rVKvr06aPVbGhVq+JMdXdkKo7EJCRz+0lMrgvECyGEvshvICH0ZN68eVy5cgUvLy9OnTpFtWrVCnQ8+jwt5/CVCFI0Cia2jhmuGZZKv2FGZWSc4Z7spGgUVu09xd1lL0/HiYqKwsXFBU9PT1xcXKhXr16Oaz3qW1JSEsuWLWPatGnEx8czceJERo8ejZmZbs/PNjM2xNG6pE7bFEIIbUigFEJPDA0N2bhxY9rO71OnTuWpTqGuWFtbk5iYSGRkJJaWljpr90VCMqGRsVlej71yMu2vjSs4oi5SNNd9qEuW4z2XhuzbtV3rcj36oCgK27dv5+uvv+bGjRsMGDCA6dOnp5VrEkKIwi7/zicT4h1kbm7Orl27ePToEV27diUpKanAxpJaWkfXG3PuPIkhq20iCQ+vE3nwp5d/Y2CERZu8nSSkUqn4af3WNzJMnjlzhv/85z94eHhgb2/PuXPnWLFihYRJIcQ7RQKlEHpWpUoVtmzZwtGjRxkxYkSBjUNfgTIxixNd4sMuEr5hAkpCDKgNKOP+Fcbl8l7w3cg49zOb+nTnzh169+5NgwYNiIyMZN++fezbty/TE32EEKKwk0ApRD5wdXVlyZIlLFmyhMWLFxfIGMqVKwfoPlAWMcz4ayTu1l9EbJqMkhALBkaU6Tw+bXe3LvspCFFRUYwfP57q1avz+++/s2LFCs6dO0e7du0KemhCCFFgZA2lEPlk0KBBXLp0iS+//JKqVavStm3bfO3f2NiY0qVL6zxQVrI0QwVpr71jr5zk0Y7vISUZlZEJZTz/R9FK72nVh+qffgpSUlISK1asYMqUKcTExDB27Fi++uqrN2ZDkBBCFCQJlELkozlz5nDlyhX++9//curUKWrUqJGv/dvY2Og8UJoZG2JXypQ7kbHEXD7O4+3fg6IBVJRs1gOVgRHxYRfT7jcuXw2VoRGJj0NJehwKgCYuOu16fNgFUuKev2y7xsvC5XaWpgVWFkdRFHbt2sXXX3/NlStX6NevH9988w02NjYFMh4hhHgTSaAUIh8ZGhqyYcMGmjRpgpubGwEBAZQqVSrf+tfXaTmu1cuyJuAOcdcD/wmTAArPDq/OcK/N4JUYmlsRG+JP1IkNGa5HHV+f9tdm43ZhoFbhWq2szsecE3/99Rdjxozh8OHDtG7dmg0bNvDee+8VyFiEEOJN9mYsShLiHVKyZEl27tzJ06dP8fLyyted3/oKlL0a2uXqrOncSNEo9G6Uv+dRh4WF0bdvX1xcXAgPD2f37t0cPHhQwqQQQmRBpSiKfv4rIITI1rFjx2jTpg39+/dn2bJlOi82npnJkyezevVqwsLCdN72xysDOHnziU6DpYFaRRN7y3RneetTdHQ03333HXPnzqVEiRJMnz6dgQMHYmgoL3OEECI7MkMpRAFp0aIFy5YtY/ny5fzwww/50qe1tTUPHjwgJSVF523P9KiNoVq3odhQrWKmh/7L8CQnJ/PTTz9RpUoV5s6dy+jRo7l27RqfffaZhEkhhMgBCZRCFKABAwYwevRoRo4cyb59+/Ten7W1NSkpKTx69EjnbduWMmWae8ajF7Ux3d0R21KmOm3zVYqisGfPHurWrcvgwYP58MMPuXr1Kt9++y0lSpTQW79CCFHYSKAUooB99913tG/fnm7dunHp0iW99qWv4uapujewY0zbf84s13I1zVdtq9Otgf7WTv7999+0bduWjh07UrZsWc6ePcuvv/6Kra2t3voUQojCSgKlEAXMwMCA9evXY2dnh5ubG48fP9ZbX/oOlADDXKvyUdnnaJITc/0LxkCtwthQzXddavO5a95P1cnO/fv3GTBgAM7OzoSFhbFjxw7++OMP6tWrp5f+hBDiXSCBUog3QIkSJdi5cyfR0dF4enqSmJiol37Kli2LWq3Wa6B8+PAh66YPpVHkIZpWKQ28DIrZSb3exN6SQyNb6mVm8sWLF0yZMoWqVauyc+dOfvzxR4KDg3Fzc8uXDVFCCFGYyWpzId4QlSpVYuvWrbRu3ZohQ4bw888/6zzoGBoaYmVlpddAOXz4cIyMjFg65xssLS25Fh7NuoBQDl+NIPRJLK++CFfxsmi5a7Wy9G5kR5WyxXU+npSUFFavXs2kSZN4+vQpI0eOZNy4cZQsWVLnfQkhxLtKAqUQb5BmzZqxfPly+vXrh6OjI6NGjdJ5H/qqRQmwY8cONm/ezPr167G0tASgqlVxpro7MhVHZs6Zy1TvxYyb8D+6dfWkkqWZXk/A2b9/P2PGjOHChQv06tWLGTNmULFiRb31J4QQ7yoJlEK8Yfr27UtISAhfffUV1atXp2PHjjptX1+B8vnz5wwdOpT27dvTvXv3DNfXr1/PxK/HMGHCBKZ/OUDn/b/qwoULjBkzhv3799O8eXNOnz5NgwYN9NqnEEK8y2QNpRBvoJkzZ+Lm5kaPHj24cOGCTtvWV6AcP348z549Y+nSpRle1f/xxx/069ePPn368O233+q871QPHjxg0KBB1K1bl5s3b+Ln58fRo0clTAohhJ5JoBTiDaRWq1m7di329va4ubnptG6kPgLliRMnWLJkCTNnzszwSvnvv//Gw8ODVq1a6WVdKEBMTAzTp0+natWq+Pn5sWDBAi5cuEDnzp1lw40QQuQDOXpRiDdYaGgoDRo0oFq1ahw6dAhjY2Ot21y5ciWDBg0iISEBIyMjrdtLSEjA2dmZEiVKcOLECQwMDNKu3blzh8aNG1O+fHmOHDlC8eK63XSTkpLCmjVrmDhxIo8fP2b48OFMnDgRc3NznfYjhBAiezJDKcQbzM7Ojm3btnH69GkGDx6MLv7/z9raGkVRCA8P18EIYdasWVy7do0VK1akC5ORkZG0b98eY2Njdu/erfMweejQIerXr0///v1p3rw5ly9fZs6cORImhRCiAEigFOIN17hxY1auXMkvv/yCt7e31u3psrj5xYsXmTlzJuPGjaN27f8/czs+Pp5OnToRERHBvn37KFeunNZ9pbp06RIdO3bkgw8+wMzMjD///BMfHx8qV66ssz6EEELkjuzyFuIt0Lt3b0JCQhg7dizVq1fH3d09z22lBsp79+5pNSaNRsOgQYOwt7dn4sSJaZ+npKTQu3dvzp49yx9//EH16tW16idVeHg4U6ZMYcWKFVSqVInNmzfj6ekpaySFEOINIIFSiLfEN998Q0hICD179uTkyZPUqVMnT+1YWlpiZGSk9Qzl0qVL+fPPPzl27BgmJiYAKIrCyJEj8fPzw8/Pj0aNGmnVB0BsbCzz589n9uzZGBkZ4e3tzdChQ3WynlQIIYRuyCtvId4SarWaNWvWULVqVdzc3PK8BlKtVlO+fHmtAmVYWBjjxo1j8ODBNG/ePO1zb29vfvjhB5YsWaLVLCq8nAFds2YN1atXZ9q0aQwaNIjr168zcuRICZNCCPGGkUApxFvEzMyMHTt2kJiYiIeHB/Hx8XlqR5vSQYqiMHToUEqUKMHs2bPTPl+3bh1ff/01//vf//jss8/y1HaqI0eO0KBBA/r06UOjRo0ICQlh3rx5lCpVSqt2hRBC6IcESiHeMra2tmzfvp2goCA+/fTTPO381iZQbtq0iV27drF48eK087APHTpE//796devH9OnT89TuwCXL1/G3d0dV1dXjIyMOH78OJs3b8bBwSHPbQohhNA/CZRCvIXef/99Vq9ezZo1a/juu+9y/XxeA2VkZCTDhw/H09OTzp07A3Du3Dm6dOlC69atWb58eZ42yTx69IjPP/8cJycngoOD8fHx4c8//6Rp06a5bksIIUT+k005QrylunfvTkhICOPHj6d69ep4eHjk+Nm8BsoxY8aQkJDADz/8ALwsXN6hQweqVavG5s2bc10oPT4+noULFzJz5kxUKhWzZ8/miy++kDWSQgjxlpFAKcRbbMqUKYSEhNC7d2+OHz+Os7Nzjp6ztrYmMjKS+Pj4tB3ar3Po0CFWr17NihUrKF++PJGRkXz44YeYmJiwe/duihUrluNxazQafHx8GD9+PPfv32fo0KFMmjSJ0qVL57gNIYQQbw555S3EW0ytVvPLL79Qs2ZN3N3defjwYY6eS61F+eDBgxzdHxsby2effUbLli0ZOHAgcXFxuLu78/jxY/bv34+VlVWOx+zv70+jRo3o1asX9evX59KlSyxcuFDCpBBCvMUkUArxljM1NWX79u2kpKTQuXNn4uLiXvtMbk/LmTp1Kvfu3WP58uVoNBp69erFX3/9xa5du6hatWqO2rh69SpdunShRYsWKIrC0aNH2bp1a46fF0II8eaSQClEIWBjY8OOHTv4+++/GThw4Gt3ftvY2AA5C5R//fUX8+bNY8qUKVStWpUvv/yS7du3s3HjRho2bPja5x8/fsyXX36Jo6MjZ8+eZd26dQQEBNCiRYucfTkhhBBvPAmUQhQSLi4u/Prrr2zYsIEZM2Zke2/JkiUpWrToawNlcnIyn3zyCY6OjowZM4bvv/+exYsXs3TpUtzc3LJ9NiEhAW9vb6pUqcIvv/zCt99+y5UrV+jZsydqtfzqEUKIwkQ25QhRiPz3v//l8uXLTJo0iRo1auDl5ZXpfSqVivK2lbh4P4qg0KcUMVRTydIMM+P0vxLmz5/P33//zalTp/Dx8WHcuHFMnjyZTz/9NMsxKIrCpk2bGDduHGFhYQwePJgpU6ZQpkwZnX5XIYQQbw6VkpeqyEKIN5aiKPTs2ZPt27fj7+9P/fr1065dC49mXUAoh69EcOdJDLxSM1IF2JUyxbV6WXo1tEP9IgInJyeGDBlC+/bt6dChA3369OHnn3/OstbkiRMnGD16NAEBAbi7u/Pdd99Ro0YNfX9lIYQQBUwCpRCFUFxcHC1btuT+/fucPn2aFBNzJvgF43/9MQZqFSmarP+1T71eNOoOccdWsX75Itq1a0fz5s3Zvn17prUmb9y4wdixY9myZQv16tXD29sbV1dXfX5FIYQQbxAJlEIUUg8ePKBBgwaY1+9IUp3OJGuUbIPkvykpyRgZGhB3/Des425x+PDhDLUmIyMj+fbbb/nxxx+xsrJi5syZ9OrVS9ZICiHEO0YCpRCF2IR1x1h/IRoUJd3r7Rz757nBTWwY5/Ze2scJCQksWbKEb775hqSkJMaPH8+IESMwNTXV3eCFEEK8NWQaQYhCyicw9GWYhLyFyVeeW3byHhsDQ1EUBV9fX2rVqsWYMWPo1q0b169fZ8KECRImhRDiHSYzlEIUQmGRsbjO3MWjE5tJuHeZxAfXUJITADBzak3pj0amuz/qz83E3TxL8tP7pMQ9R6VSY1CiDEUrvUeJRl0xLFEaIzWUOrWY03/spUOHDsyZM4datWoVxNcTQgjxhpGyQUIUQhP8gol/Fs7zU745uv/F3wdIfvb/xzAqQHLkPaIj7xF79U/KD/wRpYgpTyq35eDBUbRp00ZPIxdCCPE2kkApRCFzLTwa/+uP0agMMbZ1wtimBimxUcScP5jlM8YValHM+UOMLGxQFTEh8f4Vnh3fAJpkUl5EEnv5BMWd25NcpiqV6rz+dBwhhBDvFgmUQhQy6wJCMVCrKFLajnK9ZgMQHbQn20D571fgRSu9R8KDa8RdOwWAJvHl+eAGahVrT4Uy1d1RT6MXQgjxNpJNOUIUMoevROSqPNC/aZISiL9znoR7IWmfmVSsA0CKRuHw1QitxyiEEKJwkRlKIQqRFwnJhEbG5unZuJtnidg0Jd1nBmYWmLfsg3G5KmmfhT6JJSYhOcMxjUIIId5dMkMpRCFy50kMOi3bYGDIvwtBKMDtJzG67EUIIcRbTqYYhChEEpM1eX7W2Lo6Vr2+Q0mMJeH+VaJO+ZLy/BGRexdhYGaOaZX3ddKPEEKIwkcCpRCFSBHDvL90UJsUw8T25Wabog4NAIg6sQGAmEtH0wVKbfoRQghR+Mh/FYQoRCpZmpHbM3E0SQmvvyf+Rdpfq/7pRwghhEglM5RCFCJmxobYlTLlTmQsmqR44m6cASAx/GbaPcnPI4i5fBwA4/LViL9znudntmNWqyVGpSqgMjQi4f5VngdsSXumyCubcuwsTWVDjhBCiHTkvwpCFDKu1cuyJuAOyTFRPN42O8P1hNBgEkKDAbDsMAKApIhbPIu4lWl7hpYVKPG+B/CyDqVrtbL6GbgQQoi3lrzyFqKQ6dXQLld1KI1tqlPsvQ8xKlMRtUkxUKlRG5tRxLo65i37UL7PPAxMigEv61D2bmSnr6ELIYR4S6mUf9cEEUK89T5eGcDJm0+0KnD+bwZqFU3sLVkzUI5eFEIIkZ7MUApRCM30qI2hOrfbc7JnqFYx06O2TtsUQghROEigFKIQsi1lyjQdn7c93d0R21KmOm1TCCFE4SCBUohCqnsDO8a0raaTtr5qW51uDWTtpBBCiMzJGkohCjmfwFCm7LhIskbJ1ZpKA7UKQ7WK6e6OEiaFEEJkSwKlEO+AsMhYJvgF43/9MQZqVbbBMvV68yqlmelRW15zCyGEeC0JlEK8Q66FR7MuIJTDVyMIfRLLq//yq3hZtNy1Wll6N7KjStniBTVMIYQQbxkJlEK8o2ISkrn9JIbEZA1FDNVUsjSTE3CEEELkiQRKIYQQQgihFdnlLYQQQgghtCKBUgghhBBCaEUCpRBCCCGE0IoESiGEEEIIoRUJlEIIIYQQQisSKIUQQgghhFYkUAohhBBCCK1IoBRCCCGEEFqRQCmEEEIIIbQigVIIIYQQQmhFAqUQQgghhNCKBEohhBBCCKEVCZRCCCGEEEIrEiiFEEIIIYRWJFAKIYQQQgitSKAUQgghhBBakUAphBBCCCG0IoFSCCGEEEJoRQKlEEIIIYTQigRKIYQQQgihFQmUQgghhBBCKxIohRBCCCGEViRQCiGEEEIIrUigFEIIIYQQWpFAKYQQQgghtCKBUgghhBBCaEUCpRBCCCGE0IoESiGEEEIIoRUJlEIIIYQQQisSKIUQQgghhFYkUAohhBBCCK1IoBRCCCGEEFqRQCmEEEIIIbQigVIIIYQQQmhFAqUQQgghhNCKBEohhBBCCKEVCZRCCCGEEEIr/wdpOfnolSe6/AAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_graph(25)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### For 500 it is around three seconds!\n",
    "#### For 1000 it is around 16 seconds! "
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}