project.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "from agents import Agent, RandomAgent, HumanInput, EndAgent, RLAgent\n",
    "from states import GameState, TOAD, FROG, BLANK\n",
    "from game import run_game_loop, simulate_many_games, plot_losses\n",
    "\n",
    "import random as rand\n",
    "import numpy as np\n",
    "import torch.nn as nn\n",
    "import torch.optim as optim\n",
    "import torch\n",
    "import matplotlib.pyplot as plt\n",
    "import time\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "initial_position = [TOAD] * 6 + [BLANK] * 9 + [FROG] * 6\n",
    "G = GameState(initial_position, starting_player=TOAD)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "rl_agent = RLAgent(G, TOAD, agent_name='toad_rl', filename='toad_rl696improved', batch_size=128, lr=1e-4, target_update_freq=20)\n",
    "# rl_agent.load_checkpoint('toad_rl333.pth')\n",
    "random_frog = RandomAgent(G, FROG)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
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      "Training finished!\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "losses = rl_agent.train(opponent=random_frog, num_episodes=20000, save_model=True, start_epsilon=0.5, end_epsilon=0)\n",
    "plot_losses(losses)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Toads won 642 games (64.2%)\n",
      "Frogs won 358 games (35.8%)\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "num_games = 1000\n",
    "starting_player = 'mix'\n",
    "results = simulate_many_games(num_games, G, rl_agent, random_frog,\n",
    "                                starting_player=starting_player, verbose=False, plot=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Initializing game between toad_rl as Toads and random as Frogs...\n",
      "|T|T|T| | | |F|F|F|\n",
      "toad_rl makes move 1\n",
      "|T|T| |T| | |F|F|F|\n",
      "random makes move 1\n",
      "|T|T| |T| |F| |F|F|\n",
      "toad_rl makes move 1\n",
      "|T|T| | |T|F| |F|F|\n",
      "random makes move 1\n",
      "|T|T| |F|T| | |F|F|\n",
      "toad_rl makes move 2\n",
      "|T| |T|F|T| | |F|F|\n",
      "random makes move 1\n",
      "|T|F|T| |T| | |F|F|\n",
      "toad_rl makes move 2\n",
      "|T|F| |T|T| | |F|F|\n",
      "random makes move 2\n",
      "|T|F| |T|T| |F| |F|\n",
      "toad_rl makes move 1\n",
      "|T|F| |T| |T|F| |F|\n",
      "random makes move 2\n",
      "|T|F| |T|F|T| | |F|\n",
      "toad_rl makes move 3\n",
      "| |F|T|T|F|T| | |F|\n",
      "random makes move 1\n",
      "|F| |T|T|F|T| | |F|\n",
      "toad_rl makes move 1\n",
      "|F| |T|T|F| |T| |F|\n",
      "random makes move 3\n",
      "|F| |T|T|F| |T|F| |\n",
      "toad_rl makes move 2\n",
      "|F| |T| |F|T|T|F| |\n",
      "random makes move 2\n",
      "|F| |T|F| |T|T|F| |\n",
      "toad_rl makes move 1\n",
      "|F| |T|F| |T| |F|T|\n",
      "random makes move 2\n",
      "|F|F|T| | |T| |F|T|\n",
      "toad_rl makes move 3\n",
      "|F|F| |T| |T| |F|T|\n",
      "random makes move 3\n",
      "|F|F| |T| |T|F| |T|\n",
      "toad_rl makes move 2\n",
      "|F|F| |T| | |F|T|T|\n",
      "random makes move 3\n",
      "|F|F| |T| |F| |T|T|\n",
      "toad_rl makes move 3\n",
      "|F|F| | |T|F| |T|T|\n",
      "random makes move 3\n",
      "|F|F| |F|T| | |T|T|\n",
      "toad_rl makes move 3\n",
      "|F|F| |F| |T| |T|T|\n",
      "random makes move 3\n",
      "|F|F|F| | |T| |T|T|\n",
      "toad_rl makes move 3\n",
      "|F|F|F| | | |T|T|T|\n",
      "toad_rl playing as Toads wins in 27 moves!\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "True"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "run_game_loop(G, rl_agent, random_frog, verbose=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# I play the trained agent"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Initializing game between toad_rl as Toads and logan as Frogs...\n",
      "|T|T|T|T|T|T| | | | | | | | | |F|F|F|F|F|F|\n",
      "tensor([[ -0.6635,  -2.2042, -10.6080, -13.0324, -15.9726, -17.6946]])\n",
      "1\n",
      "toad_rl makes move 1\n",
      "|T|T|T|T|T| |T| | | | | | | | |F|F|F|F|F|F|\n",
      "logan makes move 1\n",
      "|T|T|T|T|T| |T| | | | | | | |F| |F|F|F|F|F|\n",
      "tensor([[ -0.8160,  -2.9871, -11.7733, -14.2789, -16.9412, -17.8098]])\n",
      "1\n",
      "toad_rl makes move 1\n",
      "|T|T|T|T|T| | |T| | | | | | |F| |F|F|F|F|F|\n",
      "logan makes move 1\n",
      "|T|T|T|T|T| | |T| | | | | |F| | |F|F|F|F|F|\n",
      "tensor([[ -0.9610,  -2.2255, -11.6651, -12.7880, -15.5537, -14.9748]])\n",
      "1\n",
      "toad_rl makes move 1\n",
      "|T|T|T|T|T| | | |T| | | | |F| | |F|F|F|F|F|\n",
      "logan makes move 1\n",
      "|T|T|T|T|T| | | |T| | | |F| | | |F|F|F|F|F|\n",
      "tensor([[ -1.2239,  -2.7630,  -8.9816, -12.4077, -16.5029, -17.4739]])\n",
      "1\n",
      "toad_rl makes move 1\n",
      "|T|T|T|T|T| | | | |T| | |F| | | |F|F|F|F|F|\n",
      "logan makes move 1\n",
      "|T|T|T|T|T| | | | |T| |F| | | | |F|F|F|F|F|\n",
      "tensor([[ -1.6524,  -2.8215, -11.1885, -15.4742, -18.4701, -17.8852]])\n",
      "1\n",
      "toad_rl makes move 1\n",
      "|T|T|T|T|T| | | | | |T|F| | | | |F|F|F|F|F|\n",
      "logan makes move 2\n",
      "|T|T|T|T|T| | | | | |T|F| | | |F| |F|F|F|F|\n",
      "tensor([[ -1.5969,  -2.2872,  -9.4757, -13.4339, -15.8834, -15.3618]])\n",
      "1\n",
      "toad_rl makes move 1\n",
      "|T|T|T|T|T| | | | | | |F|T| | |F| |F|F|F|F|\n",
      "logan makes move 2\n",
      "|T|T|T|T|T| | | | | | |F|T| |F| | |F|F|F|F|\n",
      "tensor([[ -2.3769,  -2.3292,  -8.4298, -15.2003, -19.1520, -17.0112]])\n",
      "2\n",
      "toad_rl makes move 2\n",
      "|T|T|T|T| |T| | | | | |F|T| |F| | |F|F|F|F|\n",
      "logan makes move 2\n",
      "|T|T|T|T| |T| | | | | |F|T|F| | | |F|F|F|F|\n",
      "tensor([[ -3.7917,  -3.1535,  -5.6795,  -8.4304, -16.7890, -16.3438]])\n",
      "2\n",
      "toad_rl makes move 2\n",
      "|T|T|T|T| | |T| | | | |F|T|F| | | |F|F|F|F|\n",
      "logan makes move 1\n",
      "|T|T|T|T| | |T| | | |F| |T|F| | | |F|F|F|F|\n",
      "tensor([[ -3.6208,  -3.1626,  -5.5548,  -8.1167, -14.8804, -14.8136]])\n",
      "2\n",
      "toad_rl makes move 2\n",
      "|T|T|T|T| | | |T| | |F| |T|F| | | |F|F|F|F|\n",
      "logan makes move 2\n",
      "|T|T|T|T| | | |T| | |F|F|T| | | | |F|F|F|F|\n",
      "tensor([[ -3.6040,  -3.6787,  -5.0419,  -8.0052, -16.6295, -16.8296]])\n",
      "1\n",
      "toad_rl makes move 1\n",
      "|T|T|T|T| | | |T| | |F|F| |T| | | |F|F|F|F|\n",
      "logan makes move 3\n",
      "|T|T|T|T| | | |T| | |F|F| |T| | |F| |F|F|F|\n",
      "tensor([[ -4.0200,  -3.0294,  -3.6392, -11.1352, -17.5386, -15.9113]])\n",
      "2\n",
      "toad_rl makes move 2\n",
      "|T|T|T|T| | | | |T| |F|F| |T| | |F| |F|F|F|\n",
      "logan makes move 1\n",
      "|T|T|T|T| | | | |T|F| |F| |T| | |F| |F|F|F|\n",
      "tensor([[ -3.8735,  -2.9676,  -4.1932, -12.6663, -17.5558, -17.5583]])\n",
      "2\n",
      "toad_rl makes move 2\n",
      "|T|T|T|T| | | | | |F|T|F| |T| | |F| |F|F|F|\n",
      "logan makes move 1\n",
      "|T|T|T|T| | | | |F| |T|F| |T| | |F| |F|F|F|\n",
      "tensor([[ -3.9227,  -5.1984,  -3.4543, -13.6141, -17.7192, -18.8977]])\n",
      "3\n",
      "toad_rl makes move 3\n",
      "|T|T|T| |T| | | |F| |T|F| |T| | |F| |F|F|F|\n",
      "logan makes move 3\n",
      "|T|T|T| |T| | | |F| |T|F| |T| |F| | |F|F|F|\n",
      "tensor([[ -7.1265,  -3.8624,  -4.9537,  -5.1758, -14.5543, -20.2370]])\n",
      "2\n",
      "toad_rl makes move 2\n",
      "|T|T|T| |T| | | |F| | |F|T|T| |F| | |F|F|F|\n",
      "logan makes move 2\n",
      "|T|T|T| |T| | | |F| |F| |T|T| |F| | |F|F|F|\n",
      "tensor([[-12.0067, -29.3289,  -5.1500,  -3.8328, -11.3464, -21.2884]])\n",
      "4\n",
      "toad_rl makes move 4\n",
      "|T|T| |T|T| | | |F| |F| |T|T| |F| | |F|F|F|\n",
      "logan makes move 1\n",
      "|T|T| |T|T| | |F| | |F| |T|T| |F| | |F|F|F|\n",
      "tensor([[-11.6509, -23.9409,  -7.0715, -13.2989, -13.1229, -14.5394]])\n",
      "3\n",
      "toad_rl makes move 3\n",
      "|T|T| |T| |T| |F| | |F| |T|T| |F| | |F|F|F|\n",
      "logan makes move 2\n",
      "|T|T| |T| |T| |F| |F| | |T|T| |F| | |F|F|F|\n",
      "tensor([[-13.0453, -26.5594,  -6.5408,  -7.3308, -10.8069, -15.6062]])\n",
      "3\n",
      "toad_rl makes move 3\n",
      "|T|T| |T| | |T|F| |F| | |T|T| |F| | |F|F|F|\n",
      "logan makes move 2\n",
      "|T|T| |T| | |T|F|F| | | |T|T| |F| | |F|F|F|\n",
      "tensor([[-14.9434, -27.6746,  -7.8928,  -7.7038,  -8.6764, -18.7216]])\n",
      "4\n",
      "toad_rl makes move 4\n",
      "|T|T| | |T| |T|F|F| | | |T|T| |F| | |F|F|F|\n",
      "logan makes move 4\n",
      "|T|T| | |T| |T|F|F| | | |T|T| |F| |F| |F|F|\n",
      "tensor([[-13.1803, -20.2400,  -6.5211,  -7.5797, -10.8252, -21.7267]])\n",
      "3\n",
      "toad_rl makes move 5\n",
      "|T| |T| |T| |T|F|F| | | |T|T| |F| |F| |F|F|\n",
      "logan makes move 3\n",
      "|T| |T| |T| |T|F|F| | | |T|T|F| | |F| |F|F|\n",
      "tensor([[-15.5031, -34.9441, -13.5568, -10.3790, -14.0648,  -9.0271]])\n",
      "6\n",
      "toad_rl makes move 6\n",
      "| |T|T| |T| |T|F|F| | | |T|T|F| | |F| |F|F|\n",
      "logan makes move 4\n",
      "| |T|T| |T| |T|F|F| | | |T|T|F| |F| | |F|F|\n",
      "tensor([[-11.4940, -23.7970, -15.4090, -11.3653, -10.8588, -16.2836]])\n",
      "5\n",
      "toad_rl makes move 5\n",
      "| |T| |T|T| |T|F|F| | | |T|T|F| |F| | |F|F|\n",
      "logan makes move 4\n",
      "| |T| |T|T| |T|F|F| | | |T|T|F|F| | | |F|F|\n",
      "tensor([[-22.2700, -21.1865, -14.5728, -12.0393, -20.6195, -13.6740]])\n",
      "4\n",
      "toad_rl makes move 4\n",
      "| |T| |T| |T|T|F|F| | | |T|T|F|F| | | |F|F|\n",
      "logan makes move 5\n",
      "| |T| |T| |T|T|F|F| | | |T|T|F|F| | |F| |F|\n",
      "tensor([[-14.6834, -24.5020, -22.5731, -20.9757, -14.1675, -12.7030]])\n",
      "6\n",
      "toad_rl makes move 6\n",
      "| | |T|T| |T|T|F|F| | | |T|T|F|F| | |F| |F|\n",
      "logan makes move 5\n",
      "| | |T|T| |T|T|F|F| | | |T|T|F|F| |F| | |F|\n",
      "tensor([[-17.0688, -27.4752, -25.4877, -19.3404, -19.3500, -14.9775]])\n",
      "6\n",
      "toad_rl makes move 5\n",
      "| | |T| |T|T|T|F|F| | | |T|T|F|F| |F| | |F|\n",
      "logan makes move 5\n",
      "| | |T| |T|T|T|F|F| | | |T|T|F|F|F| | | |F|\n",
      "tensor([[-14.2957, -36.4561, -30.1855, -29.6508, -23.7108, -14.5602]])\n",
      "1\n",
      "toad_rl makes move 6\n",
      "| | | |T|T|T|T|F|F| | | |T|T|F|F|F| | | |F|\n",
      "logan makes move 6\n",
      "| | | |T|T|T|T|F|F| | | |T|T|F|F|F| | |F| |\n",
      "logan playing as Frogs wins in 50 moves!\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "False"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "me = HumanInput(G, FROG, 'logan')\n",
    "run_game_loop(G, rl_agent, me, verbose=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "It beat me..."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Train a Frog agent for the same amount of time against a random opponent"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "H = GameState(initial_position, FROG)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "rl_agent2 = RLAgent(H, TOAD, agent_name='frog_rl', filename='frog_rl464_DL.pth', batch_size=128, lr=1e-4, target_update_freq=20)\n",
    "random_toad = RandomAgent(H, TOAD)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Training frog_rl 0.0% complete...\n",
      "Training frog_rl 1.0% complete...\n",
      "Training frog_rl 2.0% complete...\n",
      "|F| | | |T|T|F| |T|F|F| | |T|\n",
      "Training frog_rl 3.0% complete...\n",
      "Training frog_rl 4.0% complete...\n",
      "| | |T|T|F|F|F| | | |T|T|F| |\n",
      "Training frog_rl 5.0% complete...\n",
      "| |T|F| |T|F|F| | | |T|T|F| |\n",
      "| | |T|T|F|F|F| | | |T|T|F| |\n",
      "| | |T|T|F|F|F| | | |T|T|F| |\n",
      "Training frog_rl 6.0% complete...\n",
      "| |T|F| |T|F|F|F| | | | |T|T|\n",
      "Training frog_rl 7.0% complete...\n",
      "| |T|F| |T|F|F|F| | | | |T|T|\n",
      "Training frog_rl 8.0% complete...\n",
      "| | |T|T|F|F|F| | | |T|T|F| |\n",
      "Training frog_rl 9.0% complete...\n",
      "| | |T|T|F|F|F| | | |T|T|F| |\n",
      "| | |T|T|F|F|F| | | |T|T|F| |\n",
      "Training frog_rl 10.0% complete...\n",
      "| | |T|T|F|F|F| | | |T|T|F| |\n",
      "| | |T|T|F|F|F| | | |T|T|F| |\n",
      "| | |T|T|F|F|F| | | |T|T|F| |\n",
      "| | |T|T|F|F|F| | | |T|T|F| |\n",
      "Training frog_rl 11.0% complete...\n",
      "| | |T|T|F|F|F| | | |T|T|F| |\n",
      "| | |T|T|F|F|F| | | |T|T|F| |\n",
      "| | |T|T|F|F|F| | | |T|T|F| |\n",
      "Training frog_rl 12.0% complete...\n",
      "| |T|F| |T|F|F|F| | | | |T|T|\n",
      "| | |T|T|F|F|F| | | |T|T|F| |\n",
      "| | |T|T|F|F|F| | | |T|T|F| |\n",
      "| | |T|T|F|F|F| | | |T|T|F| |\n",
      "| | |T|T|F|F|F| | | |T|T|F| |\n",
      "| | |T|T|F|F|F| | | |T|T|F| |\n",
      "| | |T|T|F|F|F| | | |T|T|F| |\n",
      "Training frog_rl 13.0% complete...\n",
      "| | |T|T|F|F|F| | | |T|T|F| |\n",
      "| | |T|T|F|F|F| | | |T|T|F| |\n",
      "Training frog_rl 14.0% complete...\n",
      "| | |T|T|F|F|F| | | |T|T|F| |\n",
      "Training frog_rl 15.0% complete...\n",
      "| | |T|T|F|F|F| | | |T|T|F| |\n",
      "Training frog_rl 16.0% complete...\n",
      "| |T|F| |T|F|F|F| | | | |T|T|\n",
      "Training frog_rl 17.0% complete...\n",
      "| | |T|T|F|F|F| | | |T|T|F| |\n",
      "| | |T|T|F|F|F| | | |T|T|F| |\n",
      "| | |T|T|F|F|F| | | |T|T|F| |\n",
      "Training frog_rl 18.0% complete...\n",
      "Training frog_rl 19.0% complete...\n",
      "| | |T|T|F|F|F| | | |T|T|F| |\n",
      "Training frog_rl 20.0% complete...\n",
      "Training frog_rl 21.0% complete...\n",
      "Training frog_rl 22.0% complete...\n",
      "Training frog_rl 23.0% complete...\n",
      "| |T|F| |T|F|F|F| | | | |T|T|\n",
      "| | |T|T|F|F|F| | | |T|T|F| |\n",
      "Training frog_rl 24.0% complete...\n",
      "Training frog_rl 25.0% complete...\n",
      "| | |T|T|F| |T|F| |T|F|F| | |\n",
      "Training frog_rl 26.0% complete...\n",
      "Training frog_rl 27.0% complete...\n",
      "Training frog_rl 28.0% complete...\n",
      "| |T|F| |T|F|F| | | | |T|T|F|\n",
      "Training frog_rl 29.0% complete...\n",
      "| | |T|T|F| |T|F| |T|F|F| | |\n",
      "Training frog_rl 30.0% complete...\n",
      "Training frog_rl 31.0% complete...\n",
      "| | |T|T|F| |T|F| |T|F|F| | |\n",
      "Training frog_rl 32.0% complete...\n",
      "| | |T|T|F| |T|F| |T|F|F| | |\n",
      "Training frog_rl 33.0% complete...\n",
      "| |T|F| |T|F|F| | | |T|T|F| |\n",
      "| | |T|T|F| |T|F| |T|F|F| | |\n",
      "Training frog_rl 34.0% complete...\n",
      "Training frog_rl 35.0% complete...\n",
      "| | |T|T|F| |T|F| |T|F|F| | |\n",
      "| | |T|T|F| |T|F| |T|F|F| | |\n",
      "Training frog_rl 36.0% complete...\n",
      "| | |T|T|F| |T|F| |T|F|F| | |\n",
      "Training frog_rl 37.0% complete...\n",
      "| | |T|T|F| |T|F| |T|F|F| | |\n",
      "Training frog_rl 38.0% complete...\n",
      "| | |T|T|F| |T|F| |T|F|F| | |\n",
      "Training frog_rl 39.0% complete...\n",
      "Training frog_rl 40.0% complete...\n",
      "| | |T|T|F| |T|F| |T|F|F| | |\n",
      "|F| | | |T|T|F| |T|T|F|F| | |\n",
      "| | |T|T|F| |T|F| |T|F|F| | |\n",
      "| | |T|T|F| |T|F| |T|F|F| | |\n",
      "| | |T|T|F| |T|F| |T|F|F| | |\n",
      "Training frog_rl 41.0% complete...\n",
      "|F| | | |T|T|F| |T|T|F|F| | |\n",
      "Training frog_rl 42.0% complete...\n",
      "Training frog_rl 43.0% complete...\n",
      "| | |T|T|F| |T|F| |T|F|F| | |\n",
      "Training frog_rl 44.0% complete...\n",
      "| | |T|T|F|F|F| | | |T|T|F| |\n",
      "Training frog_rl 45.0% complete...\n",
      "|F| | | |T|T|T|F| |T|F|F| | |\n",
      "|F| | | |T|T|T|F| |T|F|F| | |\n",
      "Training frog_rl 46.0% complete...\n",
      "Training frog_rl 47.0% complete...\n",
      "Training frog_rl 48.0% complete...\n",
      "Training frog_rl 49.0% complete...\n",
      "Training frog_rl 50.0% complete...\n",
      "Training frog_rl 51.0% complete...\n",
      "Training frog_rl 52.0% complete...\n",
      "Training frog_rl 53.0% complete...\n",
      "Training frog_rl 54.0% complete...\n",
      "Training frog_rl 55.0% complete...\n",
      "Training frog_rl 56.0% complete...\n",
      "Training frog_rl 57.0% complete...\n",
      "Training frog_rl 58.0% complete...\n",
      "| | |T|T|F| |T|F| |T|F|F| | |\n",
      "| | |T|T|F| |T|F| |T|F|F| | |\n",
      "Training frog_rl 59.0% complete...\n",
      "| | |T|T|F| |T|F| |T|F|F| | |\n",
      "|F| | | |T|T|T|F| |T|F|F| | |\n",
      "Training frog_rl 60.0% complete...\n",
      "|F| | | |T|T|F| |T|T|F|F| | |\n",
      "Training frog_rl 61.0% complete...\n",
      "Training frog_rl 62.0% complete...\n",
      "Training frog_rl 63.0% complete...\n",
      "Training frog_rl 64.0% complete...\n",
      "Training frog_rl 65.0% complete...\n",
      "Training frog_rl 66.0% complete...\n",
      "Training frog_rl 67.0% complete...\n",
      "| |T|F| |T|F|F|F| | | | |T|T|\n",
      "| |T|F| |T|F|F| | | |T|T|F| |\n",
      "Training frog_rl 68.0% complete...\n",
      "| | |T|T|F|F|F| | | |T|T|F| |\n",
      "Training frog_rl 69.0% complete...\n",
      "|F| | | |T|T|F| |T|T|F|F| | |\n",
      "| |T|F| |T|F|F| | | | |T|T|F|\n",
      "Training frog_rl 70.0% complete...\n",
      "Training frog_rl 71.0% complete...\n",
      "Training frog_rl 72.0% complete...\n",
      "Training frog_rl 73.0% complete...\n",
      "|F| | | |T|T|F| |T|T|F|F| | |\n",
      "Training frog_rl 74.0% complete...\n",
      "Training frog_rl 75.0% complete...\n",
      "| | |T|T|F|F|F| | | |T|T|F| |\n",
      "Training frog_rl 76.0% complete...\n",
      "| | |T|T|F| |T|F| |T|F|F| | |\n",
      "| | |T|T|F| |T|F| |T|F|F| | |\n",
      "Training frog_rl 77.0% complete...\n",
      "| | |T|T|F| |T|F| |T|F|F| | |\n",
      "Training frog_rl 78.0% complete...\n",
      "|F| | | |T|T|F| |T|T|F|F| | |\n",
      "Training frog_rl 79.0% complete...\n",
      "| | |T|T|F| |T|F| |T|F|F| | |\n",
      "Training frog_rl 80.0% complete...\n",
      "Training frog_rl 81.0% complete...\n",
      "| | |T|T|F|F|F| | | |T|T|F| |\n",
      "| |T|F| |T|F|F| | | |T|T|F| |\n",
      "Training frog_rl 82.0% complete...\n",
      "| | |T|T|F| |T|F| |T|F|F| | |\n",
      "Training frog_rl 83.0% complete...\n",
      "| |T|F| |T|F|F| | | |T|T|F| |\n",
      "Training frog_rl 84.0% complete...\n",
      "Training frog_rl 85.0% complete...\n",
      "Training frog_rl 86.0% complete...\n",
      "| | |T|T|F|F|F| | | |T|T|F| |\n",
      "Training frog_rl 87.0% complete...\n",
      "Training frog_rl 88.0% complete...\n",
      "Training frog_rl 89.0% complete...\n",
      "Training frog_rl 90.0% complete...\n",
      "Training frog_rl 91.0% complete...\n",
      "Training frog_rl 92.0% complete...\n",
      "Training frog_rl 93.0% complete...\n",
      "Training frog_rl 94.0% complete...\n",
      "Training frog_rl 95.0% complete...\n",
      "Training frog_rl 96.0% complete...\n",
      "Training frog_rl 97.0% complete...\n",
      "| | |T|T|F| |T|F| |T|F|F| | |\n",
      "Training frog_rl 98.0% complete...\n",
      "Training frog_rl 99.0% complete...\n",
      "| | |T|T|F| |T|F| |T|F|F| | |\n",
      "Training finished!\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "losses2 = rl_agent2.train(opponent=random_toad, num_episodes=20000, start_epsilon=0.5, end_epsilon=0)\n",
    "plot_losses(losses2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Toads won 526 games (52.6%)\n",
      "Frogs won 474 games (47.4%)\n"
     ]
    },
    {
     "data": {
      "image/png": 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DdpkyZZxZLpyAsINi5/3335ekXIeZL+fh4aE2bdpo+vTp2r17tyZOnKi1a9faryZx9v+uLv8CMsZo//79DldOlSpVSmfOnMn13MuPihSltqioKB07dizXab29e/fa5ztDVFSU/vjjj1xfdNe6Hk9PTzVp0kTx8fHauHGjgoKCVKdOHfv8nEHKOQNBCxt2CqtOnTp64YUXtGHDBn3//ff6+++/NXfu3AKfU6NGDR08eNCpdRTkl19+0YQJE9S7d281aNBAffv2LfQRKCn3e/PcuXM6fvx4gXfiXrJkiSpXrqylS5eqZ8+eio2NVUxMjFJTU3P1LV26tDp27KiFCxfq8OHDio+PL9RRncKKiorS8ePHc51uvPzqOle71s+UzMxMHT161H40FMUHYQfFytq1a/Xf//5XlSpVUo8ePfLtd+rUqVxt9evXlySlpaVJkvz9/SUpz/BxNd577z2HwLFkyRIdP35c7du3t7dVqVJFW7ZsUXp6ur1t+fLluS5RL0ptHTp0UFZWlv7nf/7HoX3GjBmy2WwO678WHTp0UEJCgj7++GN7W2Zmpl5//XUFBATkebfjwmrevLlOnDihefPmqXHjxg6nypo2bap9+/bp888/V2hoqNO+KFJSUpSZmenQVqdOHXl4eNjfI/mJjo7W6dOnCzXe5lplZGSoV69eioyM1Guvvab58+crMTFRw4cPL/Qy3nrrLWVkZNgfz5kzR5mZmQW+N3KOuFx65OmHH37Q5s2b8+zfs2dP7d69W6NGjZKnp6e6detW6PquJDY2VhkZGfrf//1fe1t2drZmz57ttHVciTM+U3bv3q3U1NR8r6yE+3DpOdxmxYoV2rt3rzIzM5WYmKi1a9dq1apVioqK0hdffFHgTQQnTJigDRs2qGPHjoqKilJSUpLeeOMNlS9f3n5koEqVKgoJCdHcuXMVGBgof39/NW7cOM/z9YVRunRpNW/eXL1791ZiYqJmzpypqlWrOgyq7Nu3r5YsWaJ77rlHDz30kA4cOKAPPvjAYcBwUWvr1KmTWrVqpeeff16HDh1SvXr19O233+rzzz/XsGHDci37aj3xxBN688031atXL23fvl0VK1bUkiVLFB8fr5kzZxY4hupKcv4mmzdvzvW7UE2aNJHNZtOWLVvUqVMnpx2RW7t2rQYNGqR///vfuu2225SZman3339fnp6e6tq1a4HP7dixo7y8vLR69Wo98cQTTqknPy+99JJ27typNWvWKDAwUHXr1tXYsWP1wgsv6MEHH1SHDh2uuIz09HS1adNGDz30kPbt26c33nhDzZs3V+fOnfN9zr333qulS5fq/vvvV8eOHXXw4EHNnTtXtWrVyvOmeB07dlRoaKgWL16s9u3bKyws7Jq2+1L33Xef7rrrLo0cOVL79+9XjRo19MUXX9gDyPUYA+OMz5RVq1apZMmSatu2rcvrRRG56zIw3LxyLgfNmXx8fExERIRp27atee211xwucc5x+aXna9asMV26dDGRkZHGx8fHREZGmu7du5vff//d4Xmff/65qVWrlvHy8nK4ZLRFixbm9ttvz7O+/C51/uijj8zo0aNNWFiY8fPzMx07djSHDx/O9fxp06aZW265xfj6+ppmzZqZH3/8Mc9b9edX2+WXnhtjzNmzZ83w4cNNZGSk8fb2NtWqVTOvvPJKrtvgSzIDBw7MVVN+l8RfLjEx0fTu3duUKVPG+Pj4mDp16uR5mW1RLj03xpjz58/bt/Pbb7/NNb9u3bpGknn55Zdzzcvv73H5JeWXX/r8559/mscff9xUqVLFlChRwpQuXdq0atXKrF69ulA1d+7c2bRp08ahLb/bJuS8Py+/bDkuLs74+/s7tOmSS8+3b99uvLy8zODBgx36ZGZmmjvvvNNERkaa06dP51tjTj3r1683TzzxhClVqpQJCAgwPXr0MCdPnnToe/nrmJ2dbSZNmmSioqKMr6+vadCggVm+fHme778cAwYMMJLMhx9+mGtefpeeX779xuTen40x5sSJE+aRRx4xgYGBJjg42PTq1cvEx8cbSWbRokX5vgaXrruwl57n9d691s8UYy7+jMqjjz5aYK1wD5sxbhq1CADF2Pfff6+WLVtq7969ua52Ki7mz5+v3r17a9u2bS754cvLDR8+XO+8844SEhJyXTnlCp999pnuv/9+bdy40X4FX3G1c+dO3XHHHdqxY4f99BeKD8bsAEAe7r77brVr105Tp051dynFQmpqqj744AN17drVJUHn8t+nysrK0uuvv66goCDdcccdTl+fs02ZMkUPPvggQaeYYswOAOTj8hs23oySkpK0evVqLVmyRCdPntTQoUNdsp7BgwfrwoULio6OVlpampYuXapNmzZp0qRJLrlNhLMtWrTI3SWgAIQdAEC+du/erR49eigsLEyzZs1y2ZGL1q1ba9q0aVq+fLlSU1NVtWpVvf766xo0aJBL1oebC2N2AACApTFmBwAAWBphBwAAWBpjdnTxTp3Hjh1TYGAgP+AGAMANwhijs2fPKjIyMtePGF+KsCPp2LFjuX6tGAAA3BiOHj2q8uXL5zufsCPZb4N/9OhRBQUFubkaAABQGCkpKapQocIVf86GsKP/97srQUFBhB0AAG4wVxqCwgBlAABgaYQdAABgaYQdAABgaYQdAABgaYQdAABgaYQdAABgaYQdAABgaYQdAABgaYQdAABgaYQdAABgaYQdAABgaYQdAABgaYQdAABgaYQdAABgaYQdAABgaV7uLsDqbDZ3VwAUb8a4uwIAVseRHQAAYGmEHQAAYGmEHQAAYGmEHQAAYGmEHQAAYGmEHQAAYGmEHQAAYGmEHQAAYGmEHQAAYGmEHQAAYGmEHQAAYGmEHQAAYGluDTvjx4+XzWZzmGrUqGGfn5qaqoEDByo0NFQBAQHq2rWrEhMTHZZx5MgRdezYUSVLllRYWJhGjRqlzMzM670pAACgmHL7r57ffvvtWr16tf2xl9f/K2n48OH66quvtHjxYgUHB2vQoEF64IEHFB8fL0nKyspSx44dFRERoU2bNun48eN67LHH5O3trUmTJl33bQEAAMWP28OOl5eXIiIicrUnJyfrnXfe0YcffqjWrVtLkubNm6eaNWtqy5YtatKkib799lvt3r1bq1evVnh4uOrXr6///ve/euaZZzR+/Hj5+Phc780BAADFjNvH7Pzxxx+KjIxU5cqV1aNHDx05ckSStH37dmVkZCgmJsbet0aNGrr11lu1efNmSdLmzZtVp04dhYeH2/vExsYqJSVFu3btynedaWlpSklJcZgAAIA1uTXsNG7cWPPnz9c333yjOXPm6ODBg7r77rt19uxZJSQkyMfHRyEhIQ7PCQ8PV0JCgiQpISHBIejkzM+Zl5/JkycrODjYPlWoUMG5GwYAAIoNt57Gat++vf3fdevWVePGjRUVFaVPPvlEfn5+Llvv6NGjNWLECPvjlJQUAg8AABbl9tNYlwoJCdFtt92m/fv3KyIiQunp6Tpz5oxDn8TERPsYn4iIiFxXZ+U8zmscUA5fX18FBQU5TAAAwJqKVdg5d+6cDhw4oHLlyqlhw4by9vbWmjVr7PP37dunI0eOKDo6WpIUHR2tX3/9VUlJSfY+q1atUlBQkGrVqnXd6wcAAMWPW09jPfXUU+rUqZOioqJ07NgxjRs3Tp6enurevbuCg4PVp08fjRgxQqVLl1ZQUJAGDx6s6OhoNWnSRJLUrl071apVSz179tTUqVOVkJCgF154QQMHDpSvr687Nw0AABQTbg07f/31l7p3766TJ0+qbNmyat68ubZs2aKyZctKkmbMmCEPDw917dpVaWlpio2N1RtvvGF/vqenp5YvX67+/fsrOjpa/v7+iouL04QJE9y1SQAAoJixGWOMu4twt5SUFAUHBys5Odnp43dsNqcuDrAcPoEAXK3Cfn8XqzE7AAAAzkbYAQAAlkbYAQAAlkbYAQAAlkbYAQAAlkbYAQAAlkbYAQAAlkbYAQAAlkbYAQAAlkbYAQAAlubW38YCAMvgt2GA/Ln5d2E4sgMAACyNsAMAACyNsAMAACyNsAMAACyNsAMAACyNsAMAACyNsAMAACyNsAMAACyNsAMAACyNsAMAACyNsAMAACyNsAMAACyNsAMAACyNsAMAACyNsAMAACyNsAMAACyNsAMAACyNsAMAACyNsAMAACyNsAMAACyNsAMAACyNsAMAACyNsAMAACyNsAMAACyNsAMAACyNsAMAACyNsAMAACyNsAMAACyNsAMAACyNsAMAACyNsAMAACyNsAMAACyNsAMAACyNsAMAACyNsAMAACyNsAMAACyNsAMAACyNsAMAACyNsAMAACyNsAMAACyNsAMAACyNsAMAACyNsAMAACyNsAMAACyNsAMAACyt2ISdKVOmyGazadiwYfa21NRUDRw4UKGhoQoICFDXrl2VmJjo8LwjR46oY8eOKlmypMLCwjRq1ChlZmZe5+oBAEBxVSzCzrZt2/Tmm2+qbt26Du3Dhw/Xl19+qcWLF2v9+vU6duyYHnjgAfv8rKwsdezYUenp6dq0aZMWLFig+fPna+zYsdd7EwAAQHFl3Ozs2bOmWrVqZtWqVaZFixZm6NChxhhjzpw5Y7y9vc3ixYvtfffs2WMkmc2bNxtjjPn666+Nh4eHSUhIsPeZM2eOCQoKMmlpaYWuITk52UgyycnJztmoS0hMTEwFTZbh7heSiak4Ty5S2O9vtx/ZGThwoDp27KiYmBiH9u3btysjI8OhvUaNGrr11lu1efNmSdLmzZtVp04dhYeH2/vExsYqJSVFu3btynedaWlpSklJcZgAAIA1eblz5YsWLdKOHTu0bdu2XPMSEhLk4+OjkJAQh/bw8HAlJCTY+1wadHLm58zLz+TJk/Xiiy9eY/UAAOBG4LYjO0ePHtXQoUO1cOFClShR4rque/To0UpOTrZPR48eva7rBwAA14/bws727duVlJSkO+64Q15eXvLy8tL69es1a9YseXl5KTw8XOnp6Tpz5ozD8xITExURESFJioiIyHV1Vs7jnD558fX1VVBQkMMEAACsyW1hp02bNvr111+1c+dO+9SoUSP16NHD/m9vb2+tWbPG/px9+/bpyJEjio6OliRFR0fr119/VVJSkr3PqlWrFBQUpFq1al33bQIAAMWP28bsBAYGqnbt2g5t/v7+Cg0Ntbf36dNHI0aMUOnSpRUUFKTBgwcrOjpaTZo0kSS1a9dOtWrVUs+ePTV16lQlJCTohRde0MCBA+Xr63vdtwkAABQ/bh2gfCUzZsyQh4eHunbtqrS0NMXGxuqNN96wz/f09NTy5cvVv39/RUdHy9/fX3FxcZowYYIbqwYAAMWJ7eLtIW5uKSkpCg4OVnJystPH79hsTl0cYDmW+QRiZwfy56IdvbDf326/zw4AAIArEXYAAIClEXYAAIClEXYAAIClEXYAAIClEXYAAIClEXYAAIClEXYAAIClEXYAAIClEXYAAIClEXYAAIClEXYAAIClEXYAAIClEXYAAIClEXYAAIClEXYAAIClEXYAAIClEXYAAIClEXYAAIClEXYAAIClEXYAAIClEXYAAIClFTnsHD16VH/99Zf98datWzVs2DC99dZbTi0MAADAGYocdh555BGtW7dOkpSQkKC2bdtq69atev755zVhwgSnFwgAAHAtihx2fvvtN911112SpE8++US1a9fWpk2btHDhQs2fP9/Z9QEAAFyTIoedjIwM+fr6SpJWr16tzp07S5Jq1Kih48ePO7c6AACAa1TksHP77bdr7ty5+v7777Vq1Srdc889kqRjx44pNDTU6QUCAABciyKHnZdffllvvvmmWrZsqe7du6tevXqSpC+++MJ+egsAAKC4sBljTFGflJWVpZSUFJUqVcredujQIZUsWVJhYWFOLfB6SElJUXBwsJKTkxUUFOTUZdtsTl0cYDlF/wQqptjZgfy5aEcv7Pe319Us3NPT0yHoSFLFihWvZlEAAAAuVeTTWImJierZs6ciIyPl5eUlT09PhwkAAKA4KfKRnV69eunIkSMaM2aMypUrJxuHbgEAQDFW5LCzceNGff/996pfv74LygEAAHCuIp/GqlChgq5iTDMAAIBbFDnszJw5U88++6wOHTrkgnIAAACcq8insR5++GH9888/qlKlikqWLClvb2+H+adOnXJacQAAANeqyGFn5syZLigDAADANYocduLi4lxRBwAAgEsUKuykpKTY70yYkpJSYF9n34EYAADgWhQq7JQqVUrHjx9XWFiYQkJC8ry3jjFGNptNWVlZTi8SAADgahUq7Kxdu1alS5e2/5sbCQIAgBtFoX8I9ODBg6pUqZKr63ELfggUcB/L3LaLnR3In5t/CLTQ99mpUqWKKlWqpMcff1wffPCB/vrrL6cUCgAA4EqFvhpr7dq1+u677/Tdd9/po48+Unp6uipXrqzWrVurVatWatWqlcLDw11ZKwAAQJEV+jTWpVJTU7Vp0yZ7+Nm6dasyMjJUo0YN7dq1yxV1uhSnsQD34TQWcBNw82msqwo7OdLT0xUfH68VK1bozTff1Llz527Iq7EIO4D7EHaAm4Cbw06RbiqYnp6uLVu2aN26dfruu+/0ww8/qEKFCvrXv/6l//mf/1GLFi2uuXAAAABnKnTYad26tX744QdVqlRJLVq00JNPPqkPP/xQ5cqVc2V9AAAA16TQYef7779XuXLl1Lp1a7Vs2VItWrRQaGioK2sDAAC4ZoW+9PzMmTN66623VLJkSb388suKjIxUnTp1NGjQIC1ZskQnTpxwZZ0AAABX5aoHKJ89e1YbN260j9/5+eefVa1aNf3222/OrtHlGKAMuA8DlIGbwI1yU8HL+fv7q3Tp0ipdurRKlSolLy8v7dmz52oXBwAA4BKFHrOTnZ2tH3/8Ud99953WrVun+Ph4nT9/XrfccotatWql2bNnq1WrVq6sFQAAoMgKHXZCQkJ0/vx5RUREqFWrVpoxY4ZatmypKlWquLI+AACAa1LosPPKK6+oVatWuu2221xZDwAAgFMVOuw8+eSTrqwDAADAJa56gLIzzJkzR3Xr1lVQUJCCgoIUHR2tFStW2OenpqZq4MCBCg0NVUBAgLp27arExESHZRw5ckQdO3ZUyZIlFRYWplGjRikzM/N6bwoAACim3Bp2ypcvrylTpmj79u368ccf1bp1a3Xp0sX+Y6LDhw/Xl19+qcWLF2v9+vU6duyYHnjgAfvzs7Ky1LFjR6Wnp2vTpk1asGCB5s+fr7Fjx7prkwAAQHFjiplSpUqZt99+25w5c8Z4e3ubxYsX2+ft2bPHSDKbN282xhjz9ddfGw8PD5OQkGDvM2fOHBMUFGTS0tIKvc7k5GQjySQnJztvQ/5/F28uwMTElN9kGe5+IZmYivPkIoX9/i7UkZ077rhDp0+fliRNmDBB//zzj9NDV1ZWlhYtWqTz588rOjpa27dvV0ZGhmJiYux9atSooVtvvVWbN2+WJG3evFl16tRReHi4vU9sbKxSUlLsR4fykpaWppSUFIcJAABYU6HCzp49e3T+/HlJ0osvvqhz5845rYBff/1VAQEB8vX11X/+8x8tW7ZMtWrVUkJCgnx8fBQSEuLQPzw8XAkJCZKkhIQEh6CTMz9nXn4mT56s4OBg+1ShQgWnbQ8AACheCnU1Vv369dW7d281b95cxhi9+uqrCggIyLNvUcfLVK9eXTt37lRycrKWLFmiuLg4rV+/vkjLKKrRo0drxIgR9scpKSkEHgAALKpQYWf+/PkaN26cli9fLpvNphUrVsjLK/dTbTZbkcOOj4+PqlatKklq2LChtm3bptdee00PP/yw0tPTdebMGYejO4mJiYqIiJAkRUREaOvWrQ7Ly7laK6dPXnx9feXr61ukOgEAwI2pUGGnevXqWrRokSTJw8NDa9asUVhYmEsKys7OVlpamho2bChvb2+tWbNGXbt2lSTt27dPR44cUXR0tCQpOjpaEydOVFJSkr2eVatWKSgoSLVq1XJJfQAA4MZS6JsK5sjOznbaykePHq327dvr1ltv1dmzZ/Xhhx/qu+++08qVKxUcHKw+ffpoxIgRKl26tIKCgjR48GBFR0erSZMmkqR27dqpVq1a6tmzp6ZOnaqEhAS98MILGjhwIEduAACApKsIO5J04MABzZw50/4r57Vq1dLQoUOL/DtZSUlJeuyxx3T8+HEFBwerbt26Wrlypdq2bStJmjFjhjw8PNS1a1elpaUpNjZWb7zxhv35np6eWr58ufr376/o6Gj5+/srLi5OEyZMuJrNAgAAFmS7eHuIwlu5cqU6d+6s+vXrq1mzZpKk+Ph4/fzzz/ryyy/tQeVGkpKSouDgYCUnJysoKMipy7bZnLo4wHKK9glUjLGzA/lz0Y5e2O/vIoedBg0aKDY2VlOmTHFof/bZZ/Xtt99qx44dV1exGxF2APch7AA3ATeHnSL/XMSePXvUp0+fXO2PP/64du/eXdTFAQAAuFSRw07ZsmW1c+fOXO07d+502RVaAAAAV6vIA5T79eunJ554Qn/++aeaNm0q6eKYnZdfftnhRn0AAADFQZHH7BhjNHPmTE2bNk3Hjh2TJEVGRmrUqFEaMmSIbDfgeWvG7ADuw5gd4CZwow1QvtTZs2clSYGBgVe7iGKBsAO4D2EHuAm4Oexc1X12ctzoIQcAAFhfkQcoAwAA3EgIOwAAwNIIOwAAwNKKFHYyMjLUpk0b/fHHH66qBwAAwKmKFHa8vb31yy+/uKoWAAAApyvyaaxHH31U77zzjitqAQAAcLoiX3qemZmpd999V6tXr1bDhg3l7+/vMH/69OlOKw4AAOBaFTns/Pbbb7rjjjskSb///rvDvBvx7skAAMDaihx21q1b54o6AAAAXOKqLz3fv3+/Vq5cqQsXLki6+JtZAAAAxU2Rw87JkyfVpk0b3XbbberQoYOOHz8uSerTp49Gjhzp9AIBAACuRZHDzvDhw+Xt7a0jR46oZMmS9vaHH35Y33zzjVOLAwAAuFZFHrPz7bffauXKlSpfvrxDe7Vq1XT48GGnFQYAAOAMRT6yc/78eYcjOjlOnTolX19fpxQFAADgLEUOO3fffbfee+89+2Obzabs7GxNnTpVrVq1cmpxAAAA16rIp7GmTp2qNm3a6Mcff1R6erqefvpp7dq1S6dOnVJ8fLwragQAALhqRT6yU7t2bf3+++9q3ry5unTpovPnz+uBBx7QTz/9pCpVqriiRgAAgKtmM9wgRykpKQoODlZycrKCgoKcumxuKg0UzDKfQOzsQP5ctKMX9vu7yKexJOn06dN65513tGfPHklSrVq11Lt3b5UuXfrqqgUAAHCRIp/G2rBhgypWrKhZs2bp9OnTOn36tGbNmqVKlSppw4YNrqgRAADgqhX5NFadOnUUHR2tOXPmyNPTU5KUlZWlAQMGaNOmTfr1119dUqgrcRoLcB9OYwE3ATefxirykZ39+/dr5MiR9qAjSZ6enhoxYoT2799/ddUCAAC4SJHDzh133GEfq3OpPXv2qF69ek4pCgAAwFkKNUD5l19+sf97yJAhGjp0qPbv368mTZpIkrZs2aLZs2drypQprqkSAADgKhVqzI6Hh4dsNpuu1NVmsykrK8tpxV0vjNkB3IcxO8BN4Ea49PzgwYNOKwwAAOB6KlTYiYqKcnUdAAAALnFVNxU8duyYNm7cqKSkJGVnZzvMGzJkiFMKAwAAcIYih5358+frySeflI+Pj0JDQ2W75Dy1zWYj7AAAgGKlyGFnzJgxGjt2rEaPHi0PjyJfuQ4AAHBdFTmt/PPPP+rWrRtBBwAA3BCKnFj69OmjxYsXu6IWAAAApyvyb2NlZWXp3nvv1YULF1SnTh15e3s7zJ8+fbpTC7weuM8O4D7cZwe4CdwI99m51OTJk7Vy5UpVr15dknINUAYAAChOihx2pk2bpnfffVe9evVyQTkAAADOVeQxO76+vmrWrJkragEAAHC6IoedoUOH6vXXX3dFLQAAAE5X5NNYW7du1dq1a7V8+XLdfvvtuQYoL1261GnFAQAAXKsih52QkBA98MADrqgFAADA6YocdubNm+eKOgAAAFyC2yADAABLK/KRnUqVKhV4P50///zzmgoCAABwpiKHnWHDhjk8zsjI0E8//aRvvvlGo0aNclZdAAAATlHksDN06NA822fPnq0ff/zxmgsCAABwJqeN2Wnfvr0+/fRTZy0OAADAKZwWdpYsWaLSpUs7a3EAAABOUeTTWA0aNHAYoGyMUUJCgk6cOKE33njDqcUBAABcqyKHnfvuu8/hsYeHh8qWLauWLVuqRo0azqoLAADAKWzGGOPuItwtJSVFwcHBSk5OVlBQkFOXXcBV+gAkWeYTiJ0dyJ+LdvTCfn+79aaCkydP1p133qnAwECFhYXpvvvu0759+xz6pKamauDAgQoNDVVAQIC6du2qxMREhz5HjhxRx44dVbJkSYWFhWnUqFHKzMy8npsCAACKqUKHHQ8PD3l6ehY4eXkV7azY+vXrNXDgQG3ZskWrVq1SRkaG2rVrp/Pnz9v7DB8+XF9++aUWL16s9evX69ixYw6/zZWVlaWOHTsqPT1dmzZt0oIFCzR//nyNHTu2SLUAAABrKvRprM8//zzfeZs3b9asWbOUnZ2t1NTUqy7mxIkTCgsL0/r16/Wvf/1LycnJKlu2rD788EM9+OCDkqS9e/eqZs2a2rx5s5o0aaIVK1bo3nvv1bFjxxQeHi5Jmjt3rp555hmdOHFCPj4+V1wvp7EA9+E0FnATcPNprEIfiunSpUuutn379unZZ5/Vl19+qR49emjChAlXV+3/Lzk5WZLsl7Bv375dGRkZiomJsfepUaOGbr31VnvY2bx5s+rUqWMPOpIUGxur/v37a9euXWrQoEGu9aSlpSktLc3+OCUl5ZrqBgAAxddVjdk5duyY+vXrpzp16igzM1M7d+7UggULFBUVddWFZGdna9iwYWrWrJlq164tSUpISJCPj49CQkIc+oaHhyshIcHe59KgkzM/Z15eJk+erODgYPtUoUKFq64bAAAUb0UKO8nJyXrmmWdUtWpV7dq1S2vWrNGXX35pDyfXYuDAgfrtt9+0aNGia17WlYwePVrJycn26ejRoy5fJwAAcI9Cn8aaOnWqXn75ZUVEROijjz7K87TW1Ro0aJCWL1+uDRs2qHz58vb2iIgIpaen68yZMw5HdxITExUREWHvs3XrVofl5VytldPncr6+vvL19XVa/QAAoPgqdNh59tln5efnp6pVq2rBggVasGBBnv2WLl1a6JUbYzR48GAtW7ZM3333nSpVquQwv2HDhvL29taaNWvUtWtXSRfHCR05ckTR0dGSpOjoaE2cOFFJSUkKCwuTJK1atUpBQUGqVatWoWsBAADWVOiw89hjjzn8TIQzDBw4UB9++KE+//xzBQYG2sfYBAcHy8/PT8HBwerTp49GjBih0qVLKygoSIMHD1Z0dLSaNGkiSWrXrp1q1aqlnj17aurUqUpISNALL7yggQMHcvQGAABIxo0k5TnNmzfP3ufChQtmwIABplSpUqZkyZLm/vvvN8ePH3dYzqFDh0z79u2Nn5+fKVOmjBk5cqTJyMgodB3JyclGkklOTnbWptldvN6OiYkpv8ky3P1CMjEV58lFCvv9zc9FiPvsAO5kmU8gdnYgfy7a0W+In4sAAABwNcIOAACwNMIOAACwNMIOAACwNMIOAACwNMIOAACwNMIOAACwNMIOAACwNMIOAACwNMIOAACwNMIOAACwNMIOAACwNMIOAACwNMIOAACwNMIOAACwNMIOAACwNMIOAACwNMIOAACwNMIOAACwNMIOAACwNMIOAACwNMIOAACwNMIOAACwNMIOAACwNMIOAACwNMIOAACwNMIOAACwNMIOAACwNMIOAACwNMIOAACwNMIOAACwNMIOAACwNMIOAACwNMIOAACwNMIOAACwNMIOAACwNMIOAACwNMIOAACwNMIOAACwNMIOAACwNMIOAACwNMIOAACwNMIOAACwNMIOAACwNMIOAACwNMIOAACwNMIOAACwNMIOAACwNMIOAACwNMIOAACwNMIOAACwNMIOAACwNMIOAACwNMIOAACwNMIOAACwNMIOAACwNLeGnQ0bNqhTp06KjIyUzWbTZ5995jDfGKOxY8eqXLly8vPzU0xMjP744w+HPqdOnVKPHj0UFBSkkJAQ9enTR+fOnbuOWwEAAIozt4ad8+fPq169epo9e3ae86dOnapZs2Zp7ty5+uGHH+Tv76/Y2Filpqba+/To0UO7du3SqlWrtHz5cm3YsEFPPPHE9doEAABQ3JliQpJZtmyZ/XF2draJiIgwr7zyir3tzJkzxtfX13z00UfGGGN2795tJJlt27bZ+6xYscLYbDbz999/F3rdycnJRpJJTk6+9g25jMTExFTQZBnufiGZmIrz5CKF/f4utmN2Dh48qISEBMXExNjbgoOD1bhxY23evFmStHnzZoWEhKhRo0b2PjExMfLw8NAPP/yQ77LT0tKUkpLiMAEAAGsqtmEnISFBkhQeHu7QHh4ebp+XkJCgsLAwh/leXl4qXbq0vU9eJk+erODgYPtUoUIFJ1cPAACKi2Ibdlxp9OjRSk5Otk9Hjx51d0kAAMBFim3YiYiIkCQlJiY6tCcmJtrnRUREKCkpyWF+ZmamTp06Ze+TF19fXwUFBTlMAADAmopt2KlUqZIiIiK0Zs0ae1tKSop++OEHRUdHS5Kio6N15swZbd++3d5n7dq1ys7OVuPGja97zQAAoPjxcufKz507p/3799sfHzx4UDt37lTp0qV16623atiwYXrppZdUrVo1VapUSWPGjFFkZKTuu+8+SVLNmjV1zz33qF+/fpo7d64yMjI0aNAgdevWTZGRkW7aKgAAUKy47HqwQli3bp2RlGuKi4szxly8/HzMmDEmPDzc+Pr6mjZt2ph9+/Y5LOPkyZOme/fuJiAgwAQFBZnevXubs2fPFqkOLj1nYnLfZBnufiGZmIrz5CKF/f62XdxHb24pKSkKDg5WcnKy08fv2GxOXRxgOZb5BGJnB/Lnoh29sN/fxXbMDgAAgDMQdgAAgKURdgAAgKURdgAAgKURdgAAgKURdgAAgKURdgAAgKURdgAAgKURdgAAgKURdgAAgKURdgAAgKURdgAAgKURdgAAgKURdgAAgKURdgAAgKURdgAAgKURdgAAgKURdgAAgKURdgAAgKURdgAAgKURdgAAgKURdgAAgKURdgAAgKURdgAAgKURdgAAgKURdgAAgKURdgAAgKURdgAAgKURdgAAgKURdgAAgKURdgAAgKURdgAAgKURdgAAgKURdgAAgKURdgAAgKURdgAAgKURdgAAgKURdgAAgKURdgAAgKURdgAAgKURdgAAgKURdgAAgKURdgAAgKURdgAAgKURdgAAgKURdgAAgKURdgAAgKURdgAAgKURdgAAgKURdgAAgKURdgAAgKURdgAAgKURdgAAgKURdgAAgKURdgAAgKVZJuzMnj1bFStWVIkSJdS4cWNt3brV3SUBAIBiwBJh5+OPP9aIESM0btw47dixQ/Xq1VNsbKySkpLcXRoAAHAzS4Sd6dOnq1+/furdu7dq1aqluXPnqmTJknr33XfdXRoAAHCzGz7spKena/v27YqJibG3eXh4KCYmRps3b3ZjZQAAoDjwcncB1+r//u//lJWVpfDwcIf28PBw7d27N8/npKWlKS0tzf44OTlZkpSSkuK6QgHkid0OuAm4aEfP+d42xhTY74YPO1dj8uTJevHFF3O1V6hQwQ3VADe34GB3VwDA5Vy8o589e1bBBazjhg87ZcqUkaenpxITEx3aExMTFRERkedzRo8erREjRtgfZ2dn69SpUwoNDZXNZnNpvXCflJQUVahQQUePHlVQUJC7ywHgIuzrNw9jjM6ePavIyMgC+93wYcfHx0cNGzbUmjVrdN9990m6GF7WrFmjQYMG5fkcX19f+fr6OrSFhIS4uFIUF0FBQXwAAjcB9vWbQ0FHdHLc8GFHkkaMGKG4uDg1atRId911l2bOnKnz58+rd+/e7i4NAAC4mSXCzsMPP6wTJ05o7NixSkhIUP369fXNN9/kGrQMAABuPpYIO5I0aNCgfE9bAdLF05fjxo3LdQoTgLWwr+NyNnOl67UAAABuYDf8TQUBAAAKQtgBAACWRtgBAACWRthBsTV+/HjVr1//iv3GjBmjJ554wvUF5aNXr172ezy5Urdu3TRt2jSXrwe4EfzrX//Shx9+aH+ckJCgtm3byt/fv1jeN23+/PkOdc2dO1edOnVyX0E3GcIOCsVmsxU4jR8/3i11JSQk6LXXXtPzzz/vlvVfTy+88IImTpxo/y034Hrq1atXnvv+/v37r3stX3zxhRITE9WtWzd724wZM3T8+HHt3LlTv//++3Wvqagef/xx7dixQ99//727S7kpEHZQKMePH7dPM2fOVFBQkEPbU0895Za63n77bTVt2lRRUVH59klPT7+OFblO7dq1VaVKFX3wwQfuLgU3qXvuucdhvz9+/LgqVaqUq5+r97lZs2apd+/e8vD4f19hBw4cUMOGDVWtWjWFhYXl+byMjAyX1pWfvNbr4+OjRx55RLNmzXJDRTcfwg4KJSIiwj4FBwfLZrPZH4eFhWn69OkqX768fH197Td1vNQzzzyj2267TSVLllTlypU1ZsyYXB8AU6ZMUXh4uAIDA9WnTx+lpqZesa5FixblOhTcsmVLDRo0SMOGDVOZMmUUGxsrSZo+fbrq1Kkjf39/VahQQQMGDNC5c+fsz8s5zLxy5UrVrFlTAQEB9g/3HFlZWRoxYoRCQkIUGhqqp59+Otev7aalpWnIkCEKCwtTiRIl1Lx5c23bts0+/7vvvpPNZtPKlSvVoEED+fn5qXXr1kpKStKKFStUs2ZNBQUF6ZFHHtE///zjsOxOnTpp0aJFV3xdAFfw9fV1+CyIiIiQp6dnvvvc+vXrddddd8nX11flypXTs88+q8zMTPvyzp49qx49esjf31/lypXTjBkz1LJlSw0bNizfGk6cOKG1a9c67PcVK1bUp59+qvfee082m029evWSdPGI9Jw5c9S5c2f5+/tr4sSJkqQ5c+aoSpUq8vHxUfXq1fX+++87rGPv3r1q3ry5SpQooVq1amn16tWy2Wz67LPPrvgaHTp0SDabTR9//LFatGihEiVKaOHChXn27dSpk7744gtduHDhisvFNTJAEc2bN88EBwfbH0+fPt0EBQWZjz76yOzdu9c8/fTTxtvb2/z+++/2Pv/9739NfHy8OXjwoPniiy9MeHi4efnll+3zP/74Y+Pr62vefvtts3fvXvP888+bwMBAU69evXzrOHnypLHZbGbLli0O7S1atDABAQFm1KhRZu/evWbv3r3GGGNmzJhh1q5daw4ePGjWrFljqlevbvr37++wXd7e3iYmJsZs27bNbN++3dSsWdM88sgj9j4vv/yyKVWqlPn000/N7t27TZ8+fUxgYKDp0qWLvc+QIUNMZGSk+frrr82uXbtMXFycKVWqlDl58qQxxph169YZSaZJkyZm48aNZseOHaZq1aqmRYsWpl27dmbHjh1mw4YNJjQ01EyZMsVh21asWGF8fHxMamrqlf9QgBPFxcU5vM8vldc+99dff5mSJUuaAQMGmD179phly5aZMmXKmHHjxtmf17dvXxMVFWVWr15tfv31V3P//febwMBAM3To0HzrWLp0qfH39zdZWVn2tqSkJHPPPfeYhx56yBw/ftycOXPGGGOMJBMWFmbeffddc+DAAXP48GGzdOlS4+3tbWbPnm327dtnpk2bZjw9Pc3atWuNMcZkZmaa6tWrm7Zt25qdO3ea77//3tx1111Gklm2bNkVX6eDBw8aSaZixYrm008/NX/++ac5duxYrs9NY4w5f/688fDwMOvWrbvicnFtCDsosst32sjISDNx4kSHPnfeeacZMGBAvst45ZVXTMOGDe2Po6Ojc/Vv3LhxgWHnp59+MpLMkSNHHNpbtGhhGjRocMXtWLx4sQkNDbU/njdvnpFk9u/fb2+bPXu2CQ8Ptz8uV66cmTp1qv1xRkaGKV++vP1L4Ny5c8bb29ssXLjQ3ic9Pd1ERkban5cTdlavXm3vM3nyZCPJHDhwwN725JNPmtjYWIeaf/75ZyPJHDp06IrbBzhTXFyc8fT0NP7+/vbpwQcfNMbkvc8999xzpnr16iY7O9veNnv2bBMQEGCysrJMSkqK8fb2NosXL7bPP3PmjClZsmSBYWfGjBmmcuXKudq7dOli4uLiHNokmWHDhjm0NW3a1PTr18+h7d///rfp0KGDMebifyi8vLzM8ePH7fNXrVpV5LAzc+ZMh/a8wo4xxpQqVcrMnz//isvFteE0Fq5JSkqKjh07pmbNmjm0N2vWTHv27LE//vjjj9WsWTNFREQoICBAL7zwgo4cOWKfv2fPHjVu3NhhGdHR0QWuO+fQb4kSJXLNa9iwYa621atXq02bNrrlllsUGBionj176uTJkw6nikqWLKkqVarYH5crV05JSUmSpOTkZB0/ftyhTi8vLzVq1Mj++MCBA8rIyHB4Pby9vXXXXXc5vB6SVLduXfu/w8PD7af4Lm3LWXcOPz8/Scp1egu4Hlq1aqWdO3fap0vHm1y+z+3Zs0fR0dGy2Wz2tmbNmuncuXP666+/9OeffyojI0N33XWXfX5wcLCqV69eYA0XLlzIc5/Pz6X7Z05dBX1e7du3TxUqVFBERIR9/qU1Xu168+Pn58f+fB0QduBymzdvVo8ePdShQwctX75cP/30k55//vlrHsRYpkwZSdLp06dzzfP393d4fOjQId17772qW7euPv30U23fvl2zZ8+W5DiY0tvb2+F5Npst15gcZ7l0XTabLc91Z2dnO7SdOnVKklS2bFmX1AQUxN/fX1WrVrVP5cqVc5h3PZQpUybPfT4/16uuq13vqVOn2J+vA8IOrklQUJAiIyMVHx/v0B4fH69atWpJkjZt2qSoqCg9//zzatSokapVq6bDhw879K9Zs6Z++OEHh7YtW7YUuO4qVaooKChIu3fvvmKd27dvV3Z2tqZNm6YmTZrotttu07FjxwqziXbBwcEqV66cQ52ZmZnavn27Q00+Pj4Or0dGRoa2bdtmfz2uxW+//aby5cvbgx5QXNWsWVObN292+M9CfHy8AgMDVb58eVWuXFne3t4Og/eTk5OveNl4gwYNlJCQUKTAc3ldBX1eVa9eXUePHlViYqJ9/qU1OtOBAweUmpqqBg0auGT5+H8s86vncJ9Ro0Zp3LhxqlKliurXr6958+Zp586d9isQqlWrpiNHjmjRokW688479dVXX2nZsmUOyxg6dKh69eqlRo0aqVmzZlq4cKF27drlcFrnch4eHoqJidHGjRuveFO/qlWrKiMjQ6+//ro6deqk+Ph4zZ07t8jbOnToUE2ZMkXVqlVTjRo1NH36dJ05c8Y+39/fX/3799eoUaNUunRp3XrrrZo6dar++ecf9enTp8jru9z333+vdu3aXfNyAFcbMGCAZs6cqcGDB2vQoEHat2+fxo0bpxEjRsjDw0OBgYGKi4uz7ythYWEaN26cPDw8HE59Xa5BgwYqU6aM4uPjde+99xa5rlGjRumhhx5SgwYNFBMToy+//FJLly7V6tWrJUlt27ZVlSpVFBcXp6lTp+rs2bN64YUXJKnAuq7G999/r8qVKzucOodrcGQH12zIkCEaMWKERo4cqTp16uibb77RF198oWrVqkmSOnfurOHDh2vQoEGqX7++Nm3apDFjxjgs4+GHH9aYMWP09NNPq2HDhjp8+LD69+9/xXX37dtXixYtynW653L16tXT9OnT9fLLL6t27dpauHChJk+eXORtHTlypHr27Km4uDhFR0crMDBQ999/v0OfKVOmqGvXrurZs6fuuOMO7d+/XytXrlSpUqWKvL5Lpaam6rPPPlO/fv2uaTnA9XDLLbfo66+/1tatW1WvXj395z//UZ8+fezBQbp4O4jo6Gjde++9iomJUbNmzVSzZs0Cx+R4enqqd+/e+V7OfSX33XefXnvtNb366qu6/fbb9eabb2revHlq2bKlffmfffaZzp07pzvvvFN9+/a137S0KGOFCuOjjz5if75ObMZVAxKA68AYo8aNG2v48OHq3r27u8txqTlz5mjZsmX69ttv3V0K4BLnz5/XLbfcomnTphV4JDQhIUG33367duzYUeANRZ0lPj5ezZs31/79+512FGbXrl1q3bq1fv/9dwUHBztlmcgfp7FwQ7PZbHrrrbf066+/ursUl/P29tbrr7/u7jIAp/npp5+0d+9e3XXXXUpOTtaECRMkSV26dCnweREREXrnnXd05MgRl4SdZcuWKSAgQNWqVdP+/fs1dOhQNWvWzKmnm44fP6733nuPoHOdcGQHAOAWP/30k/r27at9+/bJx8dHDRs2tN/p3J3ee+89vfTSSzpy5IjKlCmjmJgYTZs2TaGhoZo0aZImTZqU5/PuvvturVix4jpXi8Ig7AAAUEinTp2y3wLicn5+frrllluuc0UoDMIOAACwNK7GAgAAlkbYAQAAlkbYAQAAlkbYAXDDmD9/vkJCQtxdBoAbDGEHQLHSq1cv2Ww22Ww2+fj4qGrVqpowYYIyMzPdXRqAGxQ3FQRQ7Nxzzz2aN2+e0tLS9PXXX2vgwIHy9vZ2+JVtd8rIyMj1K/UAii+O7AAodnx9fRUREaGoqCj1799fMTEx+uKLL3L1O3DggLp06aLw8HAFBATozjvvtP+goyRNmDBBtWvXzvW8+vXrO/w+29tvv23/TaYaNWrojTfesM87dOiQbDabPv74Y7Vo0UIlSpS46t9lAuAehB0AxZ6fn5/S09NztZ87d04dOnTQmjVr9NNPP+mee+5Rp06ddOTIEUnS448/rj179mjbtm325/z000/65Zdf1Lt3b0nSwoULNXbsWE2cOFF79uzRpEmTNGbMGC1YsMBhXc8++6yGDh2qPXv2KDY21oVbC8DZOI0FoNgyxmjNmjVauXKlBg8enGt+vXr1VK9ePfvj//73v1q2bJm++OILDRo0SOXLl1dsbKzmzZunO++8U5I0b948tWjRQpUrV5YkjRs3TtOmTdMDDzwgSapUqZJ2796tN998U3FxcfZlDxs2zN4HwI2FIzsAip3ly5crICBAJUqUUPv27fXwww9r/PjxufqdO3dOTz31lGrWrKmQkBAFBARoz5499iM7ktSvXz999NFHSk1NVXp6uj788EM9/vjjki7+yvaBAwfUp08fBQQE2KeXXnpJBw4ccFhXo0aNXLrNAFyHIzsAip1WrVppzpw58vHxUWRkpLy88v6oeuqpp7Rq1Sq9+uqrqlq1qvz8/PTggw86nPLq1KmTfH19tWzZMvn4+CgjI0MPPvigpIthSZL+93//V40bN3ZYtqenp8Njf39/Z24igOuIsAOg2PH391fVqlWv2C8+Pl69evXS/fffL+lieDl06JBDHy8vL8XFxWnevHny8fFRt27d5OfnJ0kKDw9XZGSk/vzzT/Xo0cPp2wGgeCDsALhhVatWTUuXLlWnTp1ks9k0ZswYZWdn5+rXt29f1axZU9LFgHSpF198UUOGDFFwcLDuuecepaWl6ccff9Tp06c1YsSI67IdAFyLsAPghjV9+nQ9/vjjatq0qcqUKaNnnnlGKSkpufpVq1ZNTZs21alTp3Kdrurbt69KliypV155RaNGjZK/v7/q1KmjYcOGXaetAOBqNmOMcXcRAOBKxhhVq1ZNAwYM4GgNcBPiyA4ASztx4oQWLVqkhIQE+711ANxcCDsALC0sLExlypTRW2+9pVKlSrm7HABuQNgBYGmcqQfATQUBAIClEXYAAIClEXYAAIClEXYAAIClEXYAAIClEXYAAIClEXYAAIClEXYAAIClEXYAAICl/X8CylVoneiG2QAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "num_games = 1000\n",
    "starting_player = 'mix'\n",
    "results = simulate_many_games(num_games, H, random_toad, rl_agent2,\n",
    "                                starting_player=starting_player, verbose=False, plot=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Initializing game between random as Toads and frog_rl as Frogs...\n",
      "|T|T|T|T| | | | | | |F|F|F|F|\n",
      "random makes move 1\n",
      "|T|T|T|T| | | | | |F| |F|F|F|\n",
      "frog_rl makes move 1\n",
      "|T|T|T| |T| | | | |F| |F|F|F|\n",
      "random makes move 1\n",
      "|T|T|T| |T| | | |F| | |F|F|F|\n",
      "frog_rl makes move 1\n",
      "|T|T|T| | |T| | |F| | |F|F|F|\n",
      "random makes move 1\n",
      "|T|T|T| | |T| |F| | | |F|F|F|\n",
      "frog_rl makes move 1\n",
      "|T|T|T| | | |T|F| | | |F|F|F|\n",
      "random makes move 1\n",
      "|T|T|T| | |F|T| | | | |F|F|F|\n",
      "frog_rl makes move 1\n",
      "|T|T|T| | |F| |T| | | |F|F|F|\n",
      "random makes move 1\n",
      "|T|T|T| |F| | |T| | | |F|F|F|\n",
      "frog_rl makes move 2\n",
      "|T|T| |T|F| | |T| | | |F|F|F|\n",
      "random makes move 1\n",
      "|T|T|F|T| | | |T| | | |F|F|F|\n",
      "frog_rl makes move 2\n",
      "|T|T|F| |T| | |T| | | |F|F|F|\n",
      "random makes move 2\n",
      "|T|T|F| |T| | |T| | |F| |F|F|\n",
      "frog_rl makes move 1\n",
      "|T|T|F| |T| | | |T| |F| |F|F|\n",
      "random makes move 2\n",
      "|T|T|F| |T| | | |T|F| | |F|F|\n",
      "frog_rl makes move 3\n",
      "|T| |F|T|T| | | |T|F| | |F|F|\n",
      "random makes move 1\n",
      "|T|F| |T|T| | | |T|F| | |F|F|\n",
      "frog_rl makes move 1\n",
      "|T|F| |T|T| | | | |F|T| |F|F|\n",
      "random makes move 2\n",
      "|T|F| |T|T| | | |F| |T| |F|F|\n",
      "frog_rl makes move 2\n",
      "|T|F| |T| |T| | |F| |T| |F|F|\n",
      "random makes move 3\n",
      "|T|F| |T| |T| | |F| |T|F| |F|\n",
      "frog_rl makes move 2\n",
      "|T|F| |T| | |T| |F| |T|F| |F|\n",
      "random makes move 3\n",
      "|T|F| |T| | |T| |F|F|T| | |F|\n",
      "frog_rl makes move 2\n",
      "|T|F| |T| | | |T|F|F|T| | |F|\n",
      "random makes move 4\n",
      "|T|F| |T| | | |T|F|F|T| |F| |\n",
      "frog_rl makes move 1\n",
      "|T|F| |T| | | |T|F|F| |T|F| |\n",
      "random makes move 4\n",
      "|T|F| |T| | | |T|F|F|F|T| | |\n",
      "frog_rl makes move 1\n",
      "|T|F| |T| | | |T|F|F|F| |T| |\n",
      "random makes move 2\n",
      "|T|F| |T| | |F|T| |F|F| |T| |\n",
      "frog_rl makes move 4\n",
      "| |F|T|T| | |F|T| |F|F| |T| |\n",
      "random makes move 2\n",
      "| |F|T|T| |F| |T| |F|F| |T| |\n",
      "frog_rl makes move 1\n",
      "| |F|T|T| |F| |T| |F|F| | |T|\n",
      "random makes move 3\n",
      "| |F|T|T| |F| |T|F| |F| | |T|\n",
      "frog_rl makes move 2\n",
      "| |F|T|T| |F| | |F|T|F| | |T|\n",
      "random makes move 1\n",
      "|F| |T|T| |F| | |F|T|F| | |T|\n",
      "frog_rl makes move 3\n",
      "|F| |T| |T|F| | |F|T|F| | |T|\n",
      "random makes move 2\n",
      "|F| |T|F|T| | | |F|T|F| | |T|\n",
      "frog_rl makes move 2\n",
      "|F| |T|F|T| | | |F| |F|T| |T|\n",
      "random makes move 4\n",
      "|F| |T|F|T| | | |F|F| |T| |T|\n",
      "frog_rl makes move 2\n",
      "|F| |T|F|T| | | |F|F| | |T|T|\n",
      "random makes move 2\n",
      "|F|F|T| |T| | | |F|F| | |T|T|\n",
      "frog_rl makes move 3\n",
      "|F|F|T| | |T| | |F|F| | |T|T|\n",
      "random makes move 3\n",
      "|F|F|T| | |T| |F| |F| | |T|T|\n",
      "frog_rl makes move 3\n",
      "|F|F|T| | | |T|F| |F| | |T|T|\n",
      "random makes move 4\n",
      "|F|F|T| | | |T|F|F| | | |T|T|\n",
      "frog_rl makes move 4\n",
      "|F|F| |T| | |T|F|F| | | |T|T|\n",
      "random makes move 3\n",
      "|F|F| |T| |F|T| |F| | | |T|T|\n",
      "frog_rl makes move 3\n",
      "|F|F| |T| |F| |T|F| | | |T|T|\n",
      "random makes move 4\n",
      "|F|F| |T| |F|F|T| | | | |T|T|\n",
      "frog_rl makes move 3\n",
      "|F|F| |T| |F|F| |T| | | |T|T|\n",
      "random makes move 3\n",
      "|F|F| |T|F| |F| |T| | | |T|T|\n",
      "frog_rl makes move 3\n",
      "|F|F| |T|F| |F| | |T| | |T|T|\n",
      "random makes move 4\n",
      "|F|F| |T|F|F| | | |T| | |T|T|\n",
      "frog_rl makes move 3\n",
      "|F|F| |T|F|F| | | | |T| |T|T|\n",
      "random makes move 3\n",
      "|F|F|F|T| |F| | | | |T| |T|T|\n",
      "frog_rl makes move 4\n",
      "|F|F|F| |T|F| | | | |T| |T|T|\n",
      "random makes move 4\n",
      "|F|F|F|F|T| | | | | |T| |T|T|\n",
      "frog_rl makes move 4\n",
      "|F|F|F|F| |T| | | | |T| |T|T|\n",
      "frog_rl playing as Frogs wins in 58 moves!\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "False"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "run_game_loop(H, random_toad, rl_agent2, verbose=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "tensor([[-12.3524, -49.3776, -91.8866, -63.7331]])\n",
      "1\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "4"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "DeathLeapBoard = GameState([-1, 0, 1, -1, 1, 1, 1, -1, 0, -1, 0, 0, 0, 0], FROG)\n",
    "rl_agent2.choose_move(DeathLeapBoard, verbose=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Train new models by playing the previously trained ones"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Initializing game between toad_rl as Toads and frog_rl as Frogs...\n",
      "|T|T|T|T|T|T| | | | | | | | | |F|F|F|F|F|F|\n",
      "toad_rl makes move 1\n",
      "|T|T|T|T|T| |T| | | | | | | | |F|F|F|F|F|F|\n",
      "frog_rl makes move 1\n",
      "|T|T|T|T|T| |T| | | | | | | |F| |F|F|F|F|F|\n",
      "toad_rl makes move 2\n",
      "|T|T|T|T| |T|T| | | | | | | |F| |F|F|F|F|F|\n",
      "frog_rl makes move 1\n",
      "|T|T|T|T| |T|T| | | | | | |F| | |F|F|F|F|F|\n",
      "toad_rl makes move 1\n",
      "|T|T|T|T| |T| |T| | | | | |F| | |F|F|F|F|F|\n",
      "frog_rl makes move 2\n",
      "|T|T|T|T| |T| |T| | | | | |F| |F| |F|F|F|F|\n",
      "toad_rl makes move 3\n",
      "|T|T|T| |T|T| |T| | | | | |F| |F| |F|F|F|F|\n",
      "frog_rl makes move 2\n",
      "|T|T|T| |T|T| |T| | | | | |F|F| | |F|F|F|F|\n",
      "toad_rl makes move 1\n",
      "|T|T|T| |T|T| | |T| | | | |F|F| | |F|F|F|F|\n",
      "frog_rl makes move 1\n",
      "|T|T|T| |T|T| | |T| | | |F| |F| | |F|F|F|F|\n",
      "toad_rl makes move 2\n",
      "|T|T|T| |T| |T| |T| | | |F| |F| | |F|F|F|F|\n",
      "frog_rl makes move 2\n",
      "|T|T|T| |T| |T| |T| | | |F|F| | | |F|F|F|F|\n",
      "toad_rl makes move 1\n",
      "|T|T|T| |T| |T| | |T| | |F|F| | | |F|F|F|F|\n",
      "frog_rl makes move 3\n",
      "|T|T|T| |T| |T| | |T| | |F|F| | |F| |F|F|F|\n",
      "toad_rl makes move 4\n",
      "|T|T| |T|T| |T| | |T| | |F|F| | |F| |F|F|F|\n",
      "frog_rl makes move 4\n",
      "|T|T| |T|T| |T| | |T| | |F|F| | |F|F| |F|F|\n",
      "toad_rl makes move 5\n",
      "|T| |T|T|T| |T| | |T| | |F|F| | |F|F| |F|F|\n",
      "frog_rl makes move 3\n",
      "|T| |T|T|T| |T| | |T| | |F|F| |F| |F| |F|F|\n",
      "toad_rl makes move 1\n",
      "|T| |T|T|T| |T| | | |T| |F|F| |F| |F| |F|F|\n",
      "frog_rl makes move 4\n",
      "|T| |T|T|T| |T| | | |T| |F|F| |F|F| | |F|F|\n",
      "toad_rl makes move 3\n",
      "|T| |T|T| |T|T| | | |T| |F|F| |F|F| | |F|F|\n",
      "frog_rl makes move 3\n",
      "|T| |T|T| |T|T| | | |T| |F|F|F| |F| | |F|F|\n",
      "toad_rl makes move 1\n",
      "|T| |T|T| |T|T| | | | |T|F|F|F| |F| | |F|F|\n",
      "frog_rl makes move 4\n",
      "|T| |T|T| |T|T| | | | |T|F|F|F|F| | | |F|F|\n",
      "toad_rl makes move 4\n",
      "|T| |T| |T|T|T| | | | |T|F|F|F|F| | | |F|F|\n",
      "frog_rl makes move 1\n",
      "|T| |T| |T|T|T| | | |F|T| |F|F|F| | | |F|F|\n",
      "toad_rl makes move 5\n",
      "|T| | |T|T|T|T| | | |F|T| |F|F|F| | | |F|F|\n",
      "frog_rl makes move 2\n",
      "|T| | |T|T|T|T| | | |F|T|F| |F|F| | | |F|F|\n",
      "toad_rl makes move 6\n",
      "| |T| |T|T|T|T| | | |F|T|F| |F|F| | | |F|F|\n",
      "frog_rl makes move 5\n",
      "| |T| |T|T|T|T| | | |F|T|F| |F|F| | |F| |F|\n",
      "toad_rl makes move 1\n",
      "| |T| |T|T|T|T| | | |F| |F|T|F|F| | |F| |F|\n",
      "frog_rl makes move 2\n",
      "| |T| |T|T|T|T| | | |F|F| |T|F|F| | |F| |F|\n",
      "toad_rl makes move 2\n",
      "| |T| |T|T|T| |T| | |F|F| |T|F|F| | |F| |F|\n",
      "frog_rl makes move 1\n",
      "| |T| |T|T|T| |T| |F| |F| |T|F|F| | |F| |F|\n",
      "toad_rl makes move 3\n",
      "| |T| |T|T| |T|T| |F| |F| |T|F|F| | |F| |F|\n",
      "frog_rl makes move 2\n",
      "| |T| |T|T| |T|T| |F|F| | |T|F|F| | |F| |F|\n",
      "toad_rl makes move 6\n",
      "| | |T|T|T| |T|T| |F|F| | |T|F|F| | |F| |F|\n",
      "frog_rl makes move 5\n",
      "| | |T|T|T| |T|T| |F|F| | |T|F|F| |F| | |F|\n",
      "toad_rl makes move 4\n",
      "| | |T|T| |T|T|T| |F|F| | |T|F|F| |F| | |F|\n",
      "frog_rl makes move 5\n",
      "| | |T|T| |T|T|T| |F|F| | |T|F|F|F| | | |F|\n",
      "toad_rl makes move 5\n",
      "| | |T| |T|T|T|T| |F|F| | |T|F|F|F| | | |F|\n",
      "frog_rl makes move 6\n",
      "| | |T| |T|T|T|T| |F|F| | |T|F|F|F| | |F| |\n",
      "toad_rl makes move 6\n",
      "| | | |T|T|T|T|T| |F|F| | |T|F|F|F| | |F| |\n",
      "frog_rl makes move 3\n",
      "| | | |T|T|T|T|T| |F|F| |F|T| |F|F| | |F| |\n",
      "toad_rl makes move 1\n",
      "| | | |T|T|T|T|T| |F|F| |F| |T|F|F| | |F| |\n",
      "frog_rl makes move 4\n",
      "| | | |T|T|T|T|T| |F|F| |F|F|T| |F| | |F| |\n",
      "toad_rl makes move 2\n",
      "| | | |T|T|T|T| |T|F|F| |F|F|T| |F| | |F| |\n",
      "frog_rl makes move 3\n",
      "| | | |T|T|T|T| |T|F|F|F| |F|T| |F| | |F| |\n",
      "toad_rl makes move 1\n",
      "| | | |T|T|T|T| |T|F|F|F| |F| |T|F| | |F| |\n",
      "frog_rl makes move 4\n",
      "| | | |T|T|T|T| |T|F|F|F|F| | |T|F| | |F| |\n",
      "toad_rl makes move 3\n",
      "| | | |T|T|T| |T|T|F|F|F|F| | |T|F| | |F| |\n",
      "frog_rl makes move 5\n",
      "| | | |T|T|T| |T|T|F|F|F|F| |F|T| | | |F| |\n",
      "toad_rl makes move 4\n",
      "| | | |T|T| |T|T|T|F|F|F|F| |F|T| | | |F| |\n",
      "frog_rl makes move 6\n",
      "| | | |T|T| |T|T|T|F|F|F|F| |F|T| | |F| | |\n",
      "toad_rl makes move 5\n",
      "| | | |T| |T|T|T|T|F|F|F|F| |F|T| | |F| | |\n",
      "frog_rl makes move 5\n",
      "| | | |T| |T|T|T|T|F|F|F|F|F| |T| | |F| | |\n",
      "toad_rl makes move 1\n",
      "| | | |T| |T|T|T|T|F|F|F|F|F| | |T| |F| | |\n",
      "frog_rl makes move 6\n",
      "| | | |T| |T|T|T|T|F|F|F|F|F| | |T|F| | | |\n",
      "toad_rl makes move 6\n",
      "| | | | |T|T|T|T|T|F|F|F|F|F| | |T|F| | | |\n",
      "frog_rl makes move 6\n",
      "| | | | |T|T|T|T|T|F|F|F|F|F| |F|T| | | | |\n",
      "toad_rl makes move 1\n",
      "| | | | |T|T|T|T|T|F|F|F|F|F| |F| |T| | | |\n",
      "frog_rl makes move 6\n",
      "| | | | |T|T|T|T|T|F|F|F|F|F|F| | |T| | | |\n",
      "toad_rl makes move 1\n",
      "| | | | |T|T|T|T|T|F|F|F|F|F|F| | | |T| | |\n",
      "toad_rl playing as Toads wins in 63 moves!\n",
      "Initializing game between toad_rl as Toads and frog_rl as Frogs...\n",
      "|T|T|T|T|T|T| | | | | | | | | |F|F|F|F|F|F|\n",
      "toad_rl makes move 1\n",
      "|T|T|T|T|T|T| | | | | | | | |F| |F|F|F|F|F|\n",
      "frog_rl makes move 1\n",
      "|T|T|T|T|T| |T| | | | | | | |F| |F|F|F|F|F|\n",
      "toad_rl makes move 1\n",
      "|T|T|T|T|T| |T| | | | | | |F| | |F|F|F|F|F|\n",
      "frog_rl makes move 1\n",
      "|T|T|T|T|T| | |T| | | | | |F| | |F|F|F|F|F|\n",
      "toad_rl makes move 1\n",
      "|T|T|T|T|T| | |T| | | | |F| | | |F|F|F|F|F|\n",
      "frog_rl makes move 1\n",
      "|T|T|T|T|T| | | |T| | | |F| | | |F|F|F|F|F|\n",
      "toad_rl makes move 1\n",
      "|T|T|T|T|T| | | |T| | |F| | | | |F|F|F|F|F|\n",
      "frog_rl makes move 2\n",
      "|T|T|T|T| |T| | |T| | |F| | | | |F|F|F|F|F|\n",
      "toad_rl makes move 2\n",
      "|T|T|T|T| |T| | |T| | |F| | | |F| |F|F|F|F|\n",
      "frog_rl makes move 2\n",
      "|T|T|T|T| | |T| |T| | |F| | | |F| |F|F|F|F|\n",
      "toad_rl makes move 1\n",
      "|T|T|T|T| | |T| |T| |F| | | | |F| |F|F|F|F|\n",
      "frog_rl makes move 3\n",
      "|T|T|T| |T| |T| |T| |F| | | | |F| |F|F|F|F|\n",
      "toad_rl makes move 3\n",
      "|T|T|T| |T| |T| |T| |F| | | | |F|F| |F|F|F|\n",
      "frog_rl makes move 4\n",
      "|T|T| |T|T| |T| |T| |F| | | | |F|F| |F|F|F|\n",
      "toad_rl makes move 1\n",
      "|T|T| |T|T| |T| |T|F| | | | | |F|F| |F|F|F|\n",
      "frog_rl makes move 1\n",
      "|T|T| |T|T| |T| | |F|T| | | | |F|F| |F|F|F|\n",
      "toad_rl makes move 2\n",
      "|T|T| |T|T| |T| | |F|T| | | |F| |F| |F|F|F|\n",
      "frog_rl makes move 5\n",
      "|T| |T|T|T| |T| | |F|T| | | |F| |F| |F|F|F|\n",
      "toad_rl makes move 2\n",
      "|T| |T|T|T| |T| | |F|T| | |F| | |F| |F|F|F|\n",
      "frog_rl makes move 1\n",
      "|T| |T|T|T| |T| | |F| |T| |F| | |F| |F|F|F|\n",
      "toad_rl makes move 4\n",
      "|T| |T|T|T| |T| | |F| |T| |F| | |F|F| |F|F|\n",
      "frog_rl makes move 2\n",
      "|T| |T|T|T| | |T| |F| |T| |F| | |F|F| |F|F|\n",
      "toad_rl makes move 5\n",
      "|T| |T|T|T| | |T| |F| |T| |F| | |F|F|F| |F|\n",
      "frog_rl makes move 6\n",
      "| |T|T|T|T| | |T| |F| |T| |F| | |F|F|F| |F|\n",
      "toad_rl makes move 6\n",
      "| |T|T|T|T| | |T| |F| |T| |F| | |F|F|F|F| |\n",
      "frog_rl makes move 1\n",
      "| |T|T|T|T| | |T| |F| | |T|F| | |F|F|F|F| |\n",
      "toad_rl makes move 2\n",
      "| |T|T|T|T| | |T| |F| |F|T| | | |F|F|F|F| |\n",
      "frog_rl makes move 1\n",
      "| |T|T|T|T| | |T| |F| |F| |T| | |F|F|F|F| |\n",
      "toad_rl makes move 2\n",
      "| |T|T|T|T| | |T| |F|F| | |T| | |F|F|F|F| |\n",
      "frog_rl makes move 2\n",
      "| |T|T|T|T| | | |T|F|F| | |T| | |F|F|F|F| |\n",
      "toad_rl makes move 3\n",
      "| |T|T|T|T| | | |T|F|F| | |T| |F| |F|F|F| |\n",
      "frog_rl makes move 1\n",
      "| |T|T|T|T| | | |T|F|F| | | |T|F| |F|F|F| |\n",
      "toad_rl makes move 1\n",
      "| |T|T|T|T| | |F|T| |F| | | |T|F| |F|F|F| |\n",
      "frog_rl makes move 1\n",
      "| |T|T|T|T| | |F|T| |F| | | | |F|T|F|F|F| |\n",
      "toad_rl makes move 2\n",
      "| |T|T|T|T| | |F|T|F| | | | | |F|T|F|F|F| |\n",
      "frog_rl makes move 3\n",
      "| |T|T|T| |T| |F|T|F| | | | | |F|T|F|F|F| |\n",
      "toad_rl makes move 3\n",
      "| |T|T|T| |T| |F|T|F| | | | |F| |T|F|F|F| |\n",
      "frog_rl makes move 4\n",
      "| |T|T| |T|T| |F|T|F| | | | |F| |T|F|F|F| |\n",
      "toad_rl makes move 4\n",
      "| |T|T| |T|T| |F|T|F| | | | |F|F|T| |F|F| |\n",
      "frog_rl makes move 3\n",
      "| |T|T| |T| |T|F|T|F| | | | |F|F|T| |F|F| |\n",
      "toad_rl makes move 5\n",
      "| |T|T| |T| |T|F|T|F| | | | |F|F|T|F| |F| |\n",
      "frog_rl makes move 4\n",
      "| |T|T| | |T|T|F|T|F| | | | |F|F|T|F| |F| |\n",
      "toad_rl makes move 6\n",
      "| |T|T| | |T|T|F|T|F| | | | |F|F|T|F|F| | |\n",
      "frog_rl makes move 2\n",
      "| |T|T| | |T|T|F| |F|T| | | |F|F|T|F|F| | |\n",
      "toad_rl makes move 2\n",
      "| |T|T| | |T|T|F|F| |T| | | |F|F|T|F|F| | |\n",
      "frog_rl makes move 2\n",
      "| |T|T| | |T|T|F|F| | |T| | |F|F|T|F|F| | |\n",
      "toad_rl makes move 3\n",
      "| |T|T| | |T|T|F|F| | |T| |F| |F|T|F|F| | |\n",
      "frog_rl makes move 2\n",
      "| |T|T| | |T|T|F|F| | | |T|F| |F|T|F|F| | |\n",
      "toad_rl makes move 3\n",
      "| |T|T| | |T|T|F|F| | |F|T| | |F|T|F|F| | |\n",
      "frog_rl makes move 2\n",
      "| |T|T| | |T|T|F|F| | |F| |T| |F|T|F|F| | |\n",
      "toad_rl makes move 3\n",
      "| |T|T| | |T|T|F|F| |F| | |T| |F|T|F|F| | |\n",
      "frog_rl makes move 5\n",
      "| |T| |T| |T|T|F|F| |F| | |T| |F|T|F|F| | |\n",
      "toad_rl makes move 3\n",
      "| |T| |T| |T|T|F|F|F| | | |T| |F|T|F|F| | |\n",
      "frog_rl makes move 2\n",
      "| |T| |T| |T|T|F|F|F| | | | |T|F|T|F|F| | |\n",
      "toad_rl makes move 4\n",
      "| |T| |T| |T|T|F|F|F| | | |F|T| |T|F|F| | |\n",
      "frog_rl makes move 6\n",
      "| | |T|T| |T|T|F|F|F| | | |F|T| |T|F|F| | |\n",
      "toad_rl makes move 5\n",
      "| | |T|T| |T|T|F|F|F| | | |F|T|F|T| |F| | |\n",
      "frog_rl makes move 5\n",
      "| | |T| |T|T|T|F|F|F| | | |F|T|F|T| |F| | |\n",
      "toad_rl makes move 4\n",
      "| | |T| |T|T|T|F|F|F| | |F| |T|F|T| |F| | |\n",
      "frog_rl makes move 1\n",
      "| | |T| |T|T|T|F|F|F| | |F| |T|F| |T|F| | |\n",
      "toad_rl makes move 5\n",
      "| | |T| |T|T|T|F|F|F| | |F|F|T| | |T|F| | |\n",
      "frog_rl makes move 2\n",
      "| | |T| |T|T|T|F|F|F| | |F|F| |T| |T|F| | |\n",
      "toad_rl makes move 4\n",
      "| | |T| |T|T|T|F|F|F| |F| |F| |T| |T|F| | |\n",
      "frog_rl makes move 6\n",
      "| | | |T|T|T|T|F|F|F| |F| |F| |T| |T|F| | |\n",
      "toad_rl makes move 5\n",
      "| | | |T|T|T|T|F|F|F| |F|F| | |T| |T|F| | |\n",
      "frog_rl makes move 2\n",
      "| | | |T|T|T|T|F|F|F| |F|F| | | |T|T|F| | |\n",
      "toad_rl makes move 4\n",
      "| | | |T|T|T|T|F|F|F|F| |F| | | |T|T|F| | |\n",
      "frog_rl makes move 1\n",
      "| | | |T|T|T|T|F|F|F|F| |F| | | |T| |F|T| |\n",
      "toad_rl makes move 5\n",
      "| | | |T|T|T|T|F|F|F|F|F| | | | |T| |F|T| |\n",
      "frog_rl makes move 2\n",
      "| | | |T|T|T|T|F|F|F|F|F| | | | | |T|F|T| |\n",
      "toad_rl makes move 6\n",
      "| | | |T|T|T|T|F|F|F|F|F| | | | |F|T| |T| |\n",
      "frog_rl makes move 1\n",
      "| | | |T|T|T|T|F|F|F|F|F| | | | |F|T| | |T|\n",
      "toad_rl makes move 6\n",
      "| | | |T|T|T|T|F|F|F|F|F| | | |F| |T| | |T|\n",
      "frog_rl makes move 2\n",
      "| | | |T|T|T|T|F|F|F|F|F| | | |F| | |T| |T|\n",
      "toad_rl makes move 6\n",
      "| | | |T|T|T|T|F|F|F|F|F| | |F| | | |T| |T|\n",
      "frog_rl makes move 2\n",
      "| | | |T|T|T|T|F|F|F|F|F| | |F| | | | |T|T|\n",
      "toad_rl makes move 6\n",
      "| | | |T|T|T|T|F|F|F|F|F| |F| | | | | |T|T|\n",
      "toad_rl playing as Toads wins in 77 moves!\n",
      "toad_first True\n",
      "frog_first True\n"
     ]
    }
   ],
   "source": [
    "toad_self_play = RLAgent(G, TOAD, 'toad_self_play', 'toad_self_696', lr=1e-4, batch_size=128, target_update_freq=20)\n",
    "toad_self_play.load_checkpoint('toad_rl696.pth')\n",
    "frog_self_play = RLAgent(H, FROG, 'frog_self_play', 'frog_self_696', lr=1e-4, batch_size=128, target_update_freq=20)\n",
    "frog_self_play.load_checkpoint('frog_rl696.pth')\n",
    "\n",
    "toad_first = run_game_loop(G, rl_agent, rl_agent2, verbose=True)\n",
    "frog_first = run_game_loop(H, rl_agent, rl_agent2, verbose=True)\n",
    "print(\"toad_first\", toad_first)\n",
    "print(\"frog_first\", frog_first)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "toad_self_play losses for epoch 0\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "frog_self_play losses for epoch 0\n"
     ]
    },
    {
     "data": {
      "image/png": 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4cePUY5OaN2+OJUuW4MEHH8TSpUvh5+cHAOjfvz/eeustg7FUr14dPj4+CAgIQEhIiNH3SKlUYunSperXOHr0aPz6669ISUlB1apV0bp1azz00EPYtWsXxowZg8TERKxcuRKJiYmoX78+AODtt9/Gtm3bsHLlSnz22WdGz2cLJk5EREREJEv+3p44/9Fgh5/X11OB3CLbj3PhwgWEh4drtRL16tULeXl5uHnzJjp06IABAwagXbt2GDx4MAYNGoTRo0ejRo0aqFmzJp5//nkMHjwYAwcOREREBJ588knUq1fP4Lk6dOigTpoqzqVSqRAXF4fg4GCMGzcOPXr0QFJSEurXr4/ff/8dw4cPR1BQEADg1KlTOH36NH7//Xf1MQRBgEqlQnx8vDpx69q1q+1vzl0BAQHqpAkAgoODERYWhqpVq2ptS01NBVDeHbGsrAwtWrTQOk5xcTFq1aolWlz6MHEiIiIiIllSKBQI8HF8dVWlUjnkPJ6enoiKisLBgwcRGRmJb775Bh988AEOHz6MJk2aYOXKlXj99dexbds2rFu3Dh9++CGioqLQo0cPq873wAMPoGnTpli7di1effVVbNq0CatWrVI/npeXh5dffhmvv/66znMbNWqk/r9mcmYrb29vrb8VCoXebRWfSV5eHjw9PREbGwtPT0+t/TSTLXtg4kREREREZAetWrXCX3/9BUEQ1K1OBw4cQLVq1dCwYUMA5UlBr1690KtXL8yePRuNGzfGpk2bMH36dABAp06d0KlTJ8ycORPh4eFYs2aN3sSpVatWWLVqFfLz89WJzYEDB+Dh4YH77783Xm/cuHH4/fff0bBhQ3h4eGD48OHqxzp37ozz58+jWbNmNr92Hx8frQkdxNKpUyeUlZUhNTUVffr0Ef34xnBWPSIiIiIiG2RnZ+PkyZNa/27cuIHJkyfjxo0beO2113Dx4kVs3rwZc+bMwfTp0+Hh4YHDhw/js88+w7Fjx5CYmIiNGzciLS0NrVq1Qnx8PGbOnImYmBhcv34dkZGRuHz5ssFxTuPGjYOfnx+ee+45nD17Frt27cJrr72GZ599FsHBwVr7HT9+HJ9++ilGjx4NX19f9WPvvfceDh48iKlTp+LkyZO4fPkyNm/ejKlTp1r8noSFheHw4cNISEhAenq6aK14LVq0wLhx4zB+/Hhs3LgR8fHxOHLkCObPn48tW7aIcg5D2OJERERERGSD3bt3o1OnTlrbJk6ciJ9++glbt27FO++8gw4dOqBmzZqYOHEiPvzwQwBAYGAg9u7di8WLFyMnJweNGzfGV199haFDhyIlJQUXL17E6tWrkZGRgXr16mHKlCl4+eWX9cYQEBCA7du3Y9q0aXjggQcQEBCAxx9/HIsWLdLar1mzZujWrRuOHDmCxYsXaz3Wvn177NmzBx988AH69OkDQRDQtGlT9Wx2lnj77bfx3HPPoXXr1igsLER8fLzFxzBk5cqV+OSTT/DWW2/h1q1bqF27Nnr06IGHH35YtHPooxDEnKjeCeTk5KB69erIzs5GYGCg1OFAqVRi69atGDZsmE5/TiKxsJyRI7CckSPYu5xdTM7BkMX7AAAJC4ab2JvEVFRUhPj4eDRp0kQ9e5tUVCoVcnJyEBgYCA8PdtBydsbKliW5AUsCERERERGRCUyciIiIiIiITGDiREREREREZAITJyIiIiIiIhOYOBERERGRbLjZvGXkAGKVKSZORERERCS5ilkSCwoKJI6EXE1JSQkAwNPT06bjcB0nIiIiIpKcp6cngoKCkJqaCqB8XSKFQiFJLCqVCiUlJSgqKuJ05E5OpVIhLS0NAQEB8PKyLfVh4kREREREshASEgIA6uRJKoIgoLCwEP7+/pIlbyQeDw8PNGrUyObPkokTERERkR6CILDS7GAKhQL16tVD3bp1oVQqJYtDqVRi79696Nu3Lxf0dgE+Pj6itBwycSIiIiK6SwEmSnLg6elp83gUW89fWloKPz8/Jk6kxk6bREREREREJjBxIiIiIjIgq6AES6Iv40YmZ3ojcndMnIiIiIgMmPHXGSyKuoQR3+6XOhQikhgTJyIiIiIDDsVnAACyCqSbqICI5IGJExERERERkQlMnIiIiIiIiExg4kRERERERGQCEyciIiIiIiITmDgRERERERGZwMSJiIiIiIjIBCZORERERHqcvZWDYqVK6jCISCa8pA6AiIiISI646C0RaWKLExERERERkQlMnIiIiMitZRcq8fm2i4hLzpU6FCKSMSZORERE5Nbm/e8clu6+isGL90odChHJGBMnIiIicmtnbmZLHQIROQEmTkRERER3KRRSR0BEcsXEiYiIiIiIyAQmTkRERERERCYwcSIiIiIiIjKBiRMREREREZEJTJyIiIiIiIhMYOJERERERERkAhMnIiIiIiIiEyRPnL777juEhYXBz88P3bt3x5EjR4zuv3jxYtx///3w9/dHaGgo3nzzTRQVFTkoWiIiIiIi96RSCZj8eywWRcZJHYokJE2c1q1bh+nTp2POnDk4fvw4OnTogMGDByM1NVXv/mvWrMGMGTMwZ84cXLhwAT///DPWrVuH999/38GRExERERG5l0PxGdh6JhlLdl6ROhRJeEl58kWLFmHSpEmYMGECAGDZsmXYsmULVqxYgRkzZujsf/DgQfTq1QtPP/00ACAsLAxjx47F4cOHDZ6juLgYxcXF6r9zcnIAAEqlEkqlUsyXY5WKGOQQC7kuljNyBJYzcgR7lDNBENT/L1WWmjw3uT5ez/QrKCpR/99V3htLXodkiVNJSQliY2Mxc+ZM9TYPDw9EREQgJiZG73N69uyJ3377DUeOHEG3bt1w7do1bN26Fc8++6zB88yfPx/z5s3T2R4ZGYmAgADbX4hIoqKipA6B3ADLGTkCyxk5gpjlLDfPE4ACALB3314Yqh5t3bpVtHOSc+D1TNv5OwoAngBc5/tQUFBg9r6SJU7p6ekoKytDcHCw1vbg4GBcvHhR73OefvpppKeno3fv3hAEAaWlpXjllVeMdtWbOXMmpk+frv47JycHoaGhGDRoEAIDA8V5MTZQKpWIiorCwIED4e3tLXU45KJYzsgRWM7IEexRzpZcOYCUwnwAQN8+fbHg1EG9+w0bNkyU85H88XqmX5VLaVh+8QQA1/k+VPRGM4ekXfUstXv3bnz22Wf4/vvv0b17d1y5cgXTpk3Dxx9/jFmzZul9jq+vL3x9fXW2e3t7y+qLILd4yDWxnJEjsJyRI4hZzhQKhfr/Xt6Gq0Ys1+6H1zNtnl73vh+u8r5Y8jokS5xq164NT09PpKSkaG1PSUlBSEiI3ufMmjULzz77LF588UUAQLt27ZCfn4+XXnoJH3zwATw8JJ8kkIiIiIiIXJBkmYaPjw+6dOmC6Oho9TaVSoXo6GiEh4frfU5BQYFOcuTpWd7PUnNgJxERERERkZgk7ao3ffp0PPfcc+jatSu6deuGxYsXIz8/Xz3L3vjx49GgQQPMnz8fADBixAgsWrQInTp1UnfVmzVrFkaMGKFOoIiIiIiIiMQmaeI0ZswYpKWlYfbs2UhOTkbHjh2xbds29YQRiYmJWi1MH374IRQKBT788EPcunULderUwYgRI/Dpp59K9RKIiIjIhShM70JEbkryySGmTp2KqVOn6n1s9+7dWn97eXlhzpw5mDNnjgMiIyIiIiIiKsfZFIiIiIiIyCR3b5Fl4kRERERERGQCEyciIiIiIiITmDgRERERERGZwMSJiIiIiIjIBCZORERE5NYEQZA6BCJyAkyciIiIiIiITGDiREREREREZAITJyIiIiIiMulwfKbUIUiKiRMRERERERmVmV+Cpbuvam2LS87F74evQ6Vyj3GCXlIHQERERERE8paeV6yzbfDivQAAH08PPNE11NEhORxbnIiIiIjM8FfsTfx7OknqMIhk51xSjtQhOARbnIiIiIjM8NafpwAAg9uEwNuT956J3A2/9UREREQWUHHdJyK3xMRJBkpV5U2cXICPiIhIWgqF1BEQkVwxcZKB5Rc9MHLpIfx+OFHqUIiIiIiITJr/3wWpQ3A4Jk4ycCm7/GP47dB1iSMhIiIiIjJt+Z5rUofgcEyciIiIiIiITGDiJCNlbrJ4GBERERGRs2HiJCOXU/OkDoGIiMjtaN625DxNRGQIEyciIiIiIiITmDgRERERERGZwMSJiIiIiIis5i7rnzFxIiIiIrKAAm5SSyQiLUyciIiIiIjIKGO3C/48dhNFyjKHxSIVJk5ERERERGS1vOJSLNwWJ3UYdsfEiYiIiIiIbLLzYorUIdgdEyciIiIiIiITmDgRERERERGZwMRJZjLyiqUOgYiIyG1dTcuXOgQikikmTjLT7bNoqUMgIiJyW9PWnpA6BCKSKSZOMlOmEqQOgYiIyG0Vl6qkDoGIZIqJExEREbk33rMkIjMwcSIiIiKygMLYSqBE5LKYOBEREREREZnAxImIiIiIiMgEJk5EREREFhA4JorILTFxIiIiIiIiMoGJExERERERGcVJUZg4ERERERERmcTEiYiIiIiIyAQmTkRERERERCYwcSIiIiL3xrEbRCb9GnNd6hAkx8SJiIiIyAIcJE/uaDUTJyZORERERERkG4Ub3FFg4kRERETujQvaEpEZmDgRERERERGZwMSJiIiIiIjIBCZOREREREREJjBxIiIiIiIiMoGJExERERERkQlMnIiIiIiIiExg4kRERERERGQCEyciIiIiIiITmDgRERERERGZwMSJiIiIiIjIBCZOREREREREJjBxIiIiIiIiMoGJExE5HWWZCs/+fBiLIuOkDoWIXIAgdQBE5BSYOBGR09lxPgX7Lqdjyc4rUodCREREboKJExE5neJSldQhEJEbE9hEReSWmDgRERERERGZwMSJiIiIiIhsopA6AAdg4kRERERERGQCEyciInIaecWluJ6RL3UYRETkhiRPnL777juEhYXBz88P3bt3x5EjR4zun5WVhSlTpqBevXrw9fVFixYtsHXrVgdFS0REUgqfH40Hv9iNSym5UodCRERuRtLEad26dZg+fTrmzJmD48ePo0OHDhg8eDBSU1P17l9SUoKBAwciISEBGzZsQFxcHH788Uc0aNDAwZE7xs07Bfhs6wUkZRVKHQoRkSzkFpUCAPbEpUkcCRERuRsvKU++aNEiTJo0CRMmTAAALFu2DFu2bMGKFSswY8YMnf1XrFiBzMxMHDx4EN7e3gCAsLAwR4bsUON/PoJr6fnYE5eG7W/2lTocIiIiIiK3JVniVFJSgtjYWMycOVO9zcPDAxEREYiJidH7nH/++Qfh4eGYMmUKNm/ejDp16uDpp5/Ge++9B09PT73PKS4uRnFxsfrvnJwcAIBSqYRSqRTxFVlHXwwV266ll/fjj0vJlUWs5Lwqyo+rlKPSsjL1/13lNbkCR5azMlUZP3s3ZY9yll1YYnEMCkHy0Q5kR672u+kIgiA45ftlScySJU7p6ekoKytDcHCw1vbg4GBcvHhR73OuXbuGnTt3Yty4cdi6dSuuXLmCyZMnQ6lUYs6cOXqfM3/+fMybN09ne2RkJAICAmx/IaLQ/hjujdny0rONyHpRUVFShyCKU2kKAOU3S/jdkB/7lrPy6+KFCxewNfu8Hc9DcidmOcvMt6w6tG3bNngxb3ILrvK7KQ7j35P8/Hyn/E0uKCgwe19Ju+pZSqVSoW7duvjhhx/g6emJLl264NatW/jiiy8MJk4zZ87E9OnT1X/n5OQgNDQUgwYNQmBgoKNCN0ipVAIxu7S2DRs2DAAwLSZSZxuRNZRKJaKiojBw4EB1N1dnpjx1G79eOQOA3w05cUQ5q7gutmrVCsN6hdnlHCRv9ihnmr+35hgyZAh8mDm5NFf73RSDqe9JQJUqGDast4OiEU9FbzRzSJY41a5dG56enkhJSdHanpKSgpCQEL3PqVevHry9vbW65bVq1QrJyckoKSmBj4+PznN8fX3h6+urs93b21u2XwR9cck1VnIuci73lvDSuAa4wutxNY4oZ54envzs3ZyU1zNvb294M3FyC67yu+kICRkFTvleWRKzZN96Hx8fdOnSBdHR0eptKpUK0dHRCA8P1/ucXr164cqVK1CpVOptly5dQr169fQmTURERERERGKQ9HbJ9OnT8eOPP2L16tW4cOECXn31VeTn56tn2Rs/frzW5BGvvvoqMjMzMW3aNFy6dAlbtmzBZ599hilTpkj1EohIAgIE9f9jr9+RMBIickdcJoTIPUk6xmnMmDFIS0vD7NmzkZycjI4dO2Lbtm3qCSMSExPh4XEvtwsNDcX27dvx5ptvon379mjQoAGmTZuG9957T6qXQEQSe3zpQZycPRBBAWx1JiLHePev01j/sv7eMUTkuiSfHGLq1KmYOnWq3sd2796tsy08PByHDh2yc1RE5EzS84qZOLkZhULqCMidpecWm96JiFwORzbK0PWMfKlDICIiIiIiDUycZOjBL3ZLHQKRUzl4NQMpOUVSh0FEbkIAcC0tD2UqweS+ROQ6mDgRkdObvfkcun8WbXpHIiIRxKfno/9Xe/D62hNSh0IkK6OXHnTpnlNMnIiIiIissOX0balDIJKVY9fv4K31p6QOw26YOBERERERkSjuFJRIHYLdMHEiIiIiIiIygYkTERE5HYFj8omIyMGYOBEREREREZnAxImIiJwOF8AlIiJHY+JERERE5KQizyVj4KI9OJ+UI3Uo5MKyC5VShyALTJxk6kpqrtQhEBERkcy99GssLqfm4ZXfYqUOhVxYYUmZ1CHIAhMnmYpYtFfqEIhkixMDEBFpKygplToEIpfHxMlJCIKA5OwiqcMgIiIiInJLTJycxNfRl9FjfjSW7bkqdShEkuPEAO4jMaMAb/95CpdT2H2ZiIikxcTJSSzecRkAsOC/ixJHQkTkOBNWHcGG2JsY9f1BqUMhIiI3x8SJiIhk62paPgAgt5jjN4hssSH2JpZEX5Y6DCKn5iV1AERERERkX2//eQoAMKBVXbSpX13iaMiVKVy4Pz1bnIjIZQicbo+IyKjsAq7HQ2QtJk5E5DKYNxEREUnLlW9iMnEiIiIicmHT152UOgRycgJcNxmyBBMnIiIiIhe28cQtqUMgcglMnIhIVpbvuYonl8egsKRM6lCIyMUVlpRh9cEEqcMQVXpeMdYdTURBCWeiJPGUqdjiBHBWPSKSmfl31ypbcyQRE3s3kTgaInJlC/67gNUx16UOQ1RjfziEy6l5iL1+BwtHd5A6HHIRB69mSB2CLLDFiYhkqUjJFicisq99l9OlDkE0FePxL6fmAQC2nU3Wv5+jAiKXoixTSR2CLDBxIiKXcTg+U+oQiIiIyEUxcSIilzF1zXGpQyAiInJrmfklUodgN0yciMjpuPASEWREel6x1CEQOY2colL8cSSRg/pJFJb87t5x4UWWOTkEEbkMhULqCMieun6yQ+oQiJzKzI1nUMrEiUg0bHEiIiKns/NiqtQhEDmFE4l3tP5miz2R9Zg4EZHLYIXAfXBqXCIicjQmTkREROSWrqXnSx2CwwmckJyswFJTjokTERERuZ3cItcdwE4kOnbpAMDEiYhkavmeq8gqcN0pTYlIWqVlrAgSkWWYOBGRLOUUleLtP09b9BxWg1zLgv8uSh0CERFZYf3RG1KHYBdMnIhItvZeSpM6BJLQsj1XpQ6BiIhg+Y3Jd/+y7Mans7Aqcbpx4wZu3ryp/vvIkSN444038MMPP4gWGBERkTVSc4swbe0JHEvIlDoUkjG2UBPZlysuvmxV4vT0009j165dAIDk5GQMHDgQR44cwQcffICPPvpI1ACJiIgsMfOvM9h8Mgmjl8VIHQq5gX2X5dEy7npVVHJ23+26InUIorMqcTp79iy6desGAFi/fj3atm2LgwcP4vfff8eqVavEjI+IiMgi1zMLpA6B3MizPx+ROgSjVJXu+nNyNHKUX2ISpA5BdFYlTkqlEr6+vgCAHTt24JFHHgEAtGzZErdv3xYvOiIiC2TmlyDBDddlISIyhItFE4nHqsSpTZs2WLZsGfbt24eoqCgMGTIEAJCUlIRatWqJGiARua+SMhUuJudY9JyHv9lvp2iIyJUIbtL0kppbrPW3e7xqIvuwKnH6/PPPsXz5cvTr1w9jx45Fhw4dAAD//POPugsfEZEYhizeh+TsIq1txuo7ecWldo6IiEge/jzmmlM+k/y4yX0Gk7yseVK/fv2Qnp6OnJwc1KhRQ739pZdeQkBAgGjBEREBwOXUXIRU95M6DCIi2UjNLcI7G1xzymciubKqxamwsBDFxcXqpOn69etYvHgx4uLiULduXVEDJCKqTKGQOgIiImnlFmm3rmfml0gUCZF+6XklGPHNfp1eI87MqsTp0UcfxS+//AIAyMrKQvfu3fHVV19h5MiRWLp0qagBEhEREYnNFXse/bj3mtQhEGk5cysbn2w5L3UYorEqcTp+/Dj69OkDANiwYQOCg4Nx/fp1/PLLL1iyZImoARIREVmCDZLkrj7dekHqEIh0FJaUSR2CaKxKnAoKClCtWjUAQGRkJEaNGgUPDw/06NED169fFzVAIiJOMU5EJA53mU2QyB6sSpyaNWuGv//+Gzdu3MD27dsxaNAgAEBqaioCAwNFDZCIaNbmc1KHQERE5LZsSbhdKVW3KnGaPXs23n77bYSFhaFbt24IDw8HUN761KlTJ1EDJCIiIhIbG16IyFJWTUc+evRo9O7dG7dv31av4QQAAwYMwGOPPSZacERERJYQBAH5XMuLiIjswKoWJwAICQlBp06dkJSUhJs3bwIAunXrhpYtW4oWHBFRhRHf7MellFypw7BIaZkK288lIyOvWOpQXJayTIWLyTkQBAFHEzLR+eMoJLnQ1LdEhrDFjMjxrEqcVCoVPvroI1SvXh2NGzdG48aNERQUhI8//hgqlUrsGImIcOZWNl79LVbqMCyy4kA8Xv41FsOX7Jc6FJf18q+xGLJ4H34/nIiJq47iToFS6pDIDaXz5gi5uAu3rb9x6UoTkljVVe+DDz7Azz//jAULFqBXr14AgP3792Pu3LkoKirCp59+KmqQREQAkFPkXF2wtp9LAQAk57AFxF52XkwFAHz491mJIyF31vWTHUhYMFzqMMziOlVYcqR1x25IHYIsWJU4rV69Gj/99BMeeeQR9bb27dujQYMGmDx5MhMnIrKbG5kFuHA7R+owSAZe+dW5WiBJXgQnTiESMwrw/qYz1j3ZeV82WSC/uBRVfK2q5pMRVr2jmZmZescytWzZEpmZmTYHRURkSJ+Fu6QOgWRi27lkqUMgksTzK4/gGte3IwO2nU3GK7/FYvrAFnh9QHOpw3EpVo1x6tChA7799lud7d9++y3at29vc1BERPpkF3L8ChERkyYypqI1clHUJYkjKedKjZxWtTgtXLgQw4cPx44dO9RrOMXExODGjRvYunWrqAESEVUoKeXkM+5iy+nbUodARESkxaoWpwcffBCXLl3CY489hqysLGRlZWHUqFE4d+4cfv31V7FjJCJySq40k5Cj/bDvmtQhkKsT+evpqOUSSst4A4lIKlaPGqtfv77OJBCnTp3Czz//jB9++MHmwIiIiIicxUu/HMPudx6y+3lWHkiw+znIuSlsfL5KJWDu/86hU6MgPNapoSgxuQqrF8AlIiIiclq21i4rycgrEfeABmw9y26sZF/bziXjl5jreHPdKalDkR0mTkQkG+zaRkRkmCAIOJGYZdsxXGqoPtlDRr5jbgI4IyZOTuhKah7OJWVLHQaR6Lac4Z1UInIQJ8wf/jvLKfjJ/tK4aLtBFo1xGjVqlNHHs7KybImFzBSxaA8A4NTsQage4C1xNETiOXg1Q+oQiIhkaytvLpEDLNl5Rf3/ImUZ/Lw9bTqeK3UmsShxql69usnHx48fb1NAZL6U3CImTuRSziXlSB0CEbkwZZkKXh4KKBQiD3AikhExi3fLWdvw72u9xTugk7MocVq5cqW94iAiQkFxqdQhiMqFbrI5HKu1JLa03GL0+nwnBrUOxrdPd5Y6HMm40t1/coxvdl6WOgTZ4BgnIpIN3gQmInvZEHsTJaUq/Ht3cWWx8wdH5CP/cmFos6XmFOGRb/dj7ZFEqUORAH9M7UUWidN3332HsLAw+Pn5oXv37jhy5IhZz1u7di0UCgVGjhxp3wCJyCEUvNgTkZ1kFXKmMHfy+bY4nL6ZjRkbz0gditPbeyndpue7UiOn5InTunXrMH36dMyZMwfHjx9Hhw4dMHjwYKSmphp9XkJCAt5++2306dPHQZGKL/pCChZsi5M6DCLZYIsTEdkit0iJn/fHIzn73qxgxaVlKC4tw/I91ySMTD7cpateQYlrdf2WUqGyTOoQZEPyxGnRokWYNGkSJkyYgNatW2PZsmUICAjAihUrDD6nrKwM48aNw7x583Dfffc5MFpxHYnPxM8HrksdBpFseDBzIiIbfPj3WXz873mMXnYQAFCmEtDpoyh0nBeltd+trEIpwiMX9r9TSVwqxg1YNDmE2EpKShAbG4uZM2eqt3l4eCAiIgIxMTEGn/fRRx+hbt26mDhxIvbt22f0HMXFxSguLlb/nZNTPmuXUqmEUqm08RXYpkylsun5pcpSyV8DOYeKciL/8iLOrVC5vE7NBX3lEpM9iVnOxFoM2R3ed3djrJztuljeW+XmnUIolUpk5JegoET3bvnARXsQOa2XqHEJEJyivJWWuUfdQaVRx7Lm9VpyPTuSkInX/jgBALj88SCLzyU+ef32qFQqWcRhiCWxSZo4paeno6ysDMHBwVrbg4ODcfHiRb3P2b9/P37++WecPHnSrHPMnz8f8+bN09keGRmJgIAAi2MWU/x1D9jS6Ldn315clvYlkJOJiooyvZOEcnM8Icag1q1bt9oejAju3Ln3euQSkyPYWs6yS4DMO65VFkh8+sqZUqn9nctTAvqqOgUlZdi5c6fex6xVWlrqgPJme7yxx2JRfM31++vdTr5Xx7LlczHnerYvWQHA0+ZziaWk2NbfHnHTg/S0NFm8L4YUFBSYva+kiZOlcnNz8eyzz+LHH39E7dq1zXrOzJkzMX36dPXfOTk5CA0NxaBBgxAYGGivUM1yLvISopMSrH5+3z590CK4mngBWehEYhbm/nsBHw5riQfCakgWB5mmVCoRFRWFgQMHwttbvmt//ZR4CDfybV/LadiwYSJEY7sVNw7jel551w25xGRPYpSzE4lZmPajeRMEmcMd3nd3Y6iclakEzDqxC4Vl5WNbhg0bhoz8EnxwbLfe4/Tv3x+zY/eKFpeXlxeGDRss2vH0mRYTafMxunTtggEt64oQjbxtyT6J05nlLZDWXAcsuZ5lHk7EhviLVp9LbJ+c2Q0oyydDsSYeMcqZpjp16mDYsC6iHlNMFb3RzCFp4lS7dm14enoiJSVFa3tKSgpCQkJ09r969SoSEhIwYsQI9baKplgvLy/ExcWhadOmWs/x9fWFr6+vzrG8vb0lr0B6eNi2ErOXl7SvYezPR1GmEvD0z0eRsGC4ZHGQ+eRQ7o0Ra1FKubxGzdcjl5gsIQgCpqw5jur+Ppg/qp3Zz7OlnG04kWTV84zFQq5Js5zN3HgG/529jZyiUu3HvQx3iRe9bAjOUd68PL1kFacgCAav/fHp+UjPK8YDYTUtPq6H4l6PHlterznXM0/Pe/U5Wby3MvvtUXh4yCIOQyyJTdLJIXx8fNClSxdER0ert6lUKkRHRyM8PFxn/5YtW+LMmTM4efKk+t8jjzyChx56CCdPnkRoaKgjw7eZs4+DL1Pda+rXnMGIyFpO/pVwOdfS87H1TDL+OJIIlcr1u/aQ8/rjSCKyCuQ7hoL0e/2PExiyeB9KSvUnuA99uRtPLIvBtbQ8B0dGYhJrzKocSN5Vb/r06XjuuefQtWtXdOvWDYsXL0Z+fj4mTJgAABg/fjwaNGiA+fPnw8/PD23bttV6flBQEADobHcGrlRJnLb2BNa9rJvsEllCrBYnEgeTJXJ2vKboktO3+p9T5S3MMdcy8GCLOgb3u5SSh/vqVHVUWE6Ppd5+JE+cxowZg7S0NMyePRvJycno2LEjtm3bpp4wIjExER4eks+aTibEpeRKHQK5AA+RrvbnkrLRpn51cQ5GREROR5BVikiuQvLECQCmTp2KqVOn6n1s9+7dRp+7atUq8QNyEN4II9Im1t3h/GJ5LNZX+We7SFmGc0nZ6BhaA55iZYlERBao3G2qpFSFa+l5uD+4GlvoiExgU44TyyvmqtjkWlw9l5i65gQeXxqDb3dekToUciG3swvx5PIY/HfmttShkBN65bdYDFm8D38cuSF1KC7jwu0cTFlzHFc5NsvlMHGSkMLGXqgf/e+cSJEQyYOt3wm523GhfAbRlQfjRT1uQUkpJq46ivXHWPFxR7M3n8OR+Ey8+vtxqUPRMvefc/hg0xlJYzB2RUnPK3ZIDOuP3UD0hRTTO0pk591Fg1ccEPe6JCaxGsJW7I/HC6uOorhU3F4JlcN77PsD2HL6Np5bId7SCmIrKCnF97uv4EoqkztLMHGSkK0XglM3s8UJhEguXDtvspuf98Uj+mIq3t1wWupQSALZMpxNLr+4FKsOJuD3w4lIzZXnrKvDl+wX9Xj6RtQkpOfj3Q2nMXH1MVHP5Wocden/6N/z2HkxFRuP3xLtmCWlKlSeR6dIWT5L4M07haKdxxLm1C+/iryEhdviELFoj93j2Xc53e7ncBRZjHEiIgJcv6uevWQXyq/ibC1Xb3V0F2Ua42hUhpdSsjuppwdwVKsW6TI2A3ZBiTgtTkXKMjzw6Q7kFjnf0InY63ekDsEpscVJQq5UPXCl10LSYaVZXjTvWkpdASWyVJlKwBSZdV+UA7l8l0vLJMyoRXL6ZrYskyb+ltoPEycpcfYat3X4WgZO3siSOgyyNxda9I/I2USdT0HMtQypwyADPtlywex97VFbyioowet/nMDeS2l2OLp+cloIllVQ6zBxInKwO/klGPPDIYz87oCsLqKuhO8rydHt7EKUlNrhLjsrQHoVlMivJYDuWXUwQbJzH0+8g44fReGfU0kY76AJHA5fy0C3z6Kx7WwyDl3LQGJGAeKSc/HodwccmryRbTjGSUL8rXNPGfn3+rxP+iUWXz/VEVV8+VV0J2J/9x1x57A8GeVVy1rnkrIxfMl+NK9bFVHTH5Q6HLvjvYvy78zWM8lSh2E2KW84Obr1Y8tpx0/d/+yKIygpVeGV32LV28JqBSAhowDjVxxBwoLhDo2HV3PrsMWJSEI7LqRg2tqTUodBZIDjf1oF2YzAENe/dytql91w6l97V4qLlPJY8Lqy6Aupsp7i29XJ7Uqi1DOmKyO/RIJIypVVngoQ5cnzxeQcCaJxHkycJOTO/UuVZSrZTlHraDtkvL4H2aZUzw+TPRi7UXwrqxBzNp9FQnq+Q2Ih/bw4ZaTFVCrBrKRo/lbzx8rYU+VP+MQNzlomFoUVFSa5tXo6Mh5z3i59S9qsOpiAIYv32SEi18HESUKuNOuJpRe1kd8dQLdPo3lng7S42s2Ec0nSl+8XVh7F6pjreHJ5jNShuDVPJk4We2J5DFrO2oY7Ju7KR57Xf/NJrCmnzSWzerpBhirwV9N4c8XR5NZa+sPea1KHIHtMnEgSFRXKzSeTJI6E5MTVEidHMfa+xaXkAgBScy1fT0aK6chd6YaSJnu2OLnCO1akLMN7G05jzPIY3LxTAODeOjPWtsp/suW8aPGRtFx1wh9lmWu+LlfGxElCrCS6p72XXGcFbZKH5Jx7SVF+MWcSkyNPDzf7ubWwPrh8zzWsO3YDh+MzMWHlURxPvNfNrcTEej+GusQWKZ1/nSD7kF9lvdiFPqusAunGLZH9udmVXF7EzpvO3MzGI9/uR8xV51m3orRMhSPxmSgulVdztT199C/vghriojcVdVjTX9+YMtW9SodYb+HszWcxfd1JkY5G7jzGydQrFwQB/7fjkvrvy6l5eOanw+q/76td1ejz06xoTXWEyq2n09aewIErvHGmz7e7rhh93LprpjQ/KB0/irL5GFkFJZjy+3FEcwy07DBxciHjfjqE0zezMfbHQ1KHYrYf98XjyeUxmPnXGalDIRfiJvmXmtgJZ2mZCr/EXNc7eNjVFZSUQmWHST2sqfddTctDn4U7sfZIoujHtrcrablm7xt9IVVnm7njk66lOc8shZtPJmGcRkJI95yXwXhQOfkyMg5bztzGxNXHrHq+DC8JLoOJk4TE/rHLKXLeLjobT9ySOgSSATlWAMVy8Oq9O82W9te/kpqLdzecQmJGgd7HxX7f3C3xrJCeV4zWs7dj9LKDUocCAJi58QxuZBZixkbjN5bkOC7s0LVMs/etGIdnDTl1x9M3vTOZxxHLECRlFdr9HGJJzpZnK6qt/jmVhL4Ld+FckvPelGPiRETkAE//aPxO877LaYhL1l+BfOz7g1h/7CYmrHLMCvfuavu58sVKjydmSRvIXfrWfSH5Ki7l5yVX55Ky0XPBTtGPmynhOkzGWNq1URAE3M62f2L5+h8nkJhZgNfWnLD7ueyFiZOExB7nICXXeSUkJTneObeHwkpT0F5JzcWzPx/B4MV79e6fe7c12dB0wZoNWMcSzL/TT44jxvU+IT0fpXqSqcRM/S2RJC0X+om3O1PXflvfyuFL9tt4BP3kOj77loWta59uuYDw+TtxO9sx62s6800GJk5ERJWk5hThpV+OYd/lNLscv3L3oiupeRr/t77bEgA8v/KoTc8H9FdSHDVxByub+m05fRv9vtyNF/SMebC0kuQIWt1RbfxMHdGNi1yPu0w2JIaf9sdLHYLTYOJERFTJrM1nEXk+Bc/+7PiucblWjFV0RLLhrJXXlBzz76Aaq2gpy1T4eX+81Yt22/oRrThQXrHZe8k+yTy5DyYU8iQIAg5cSUdqrnnXrMhzyfjDxMQxJD4vqQNwZ7yzKo4iZRle/jUWD7aogxd6N5E6HHIBjuquQPZXIlKXkNUHE/DJlgsAgMc6NUB401p4smuoKMd2eayokwklZSpcTM5By5BAqUORzI4LqZj0yzF4KID+LYNN7v/Sr7EAgB731UKT2lXsHR7dxRYnF+XoqT0zJBwguf7YDey5lMb1kcht8Q6y/Z25dW8WqE0nbuHdDacljEb+LBnTZeksk1rPlXFWxnujlhmyeJ/Buos73GiuaE22dHJGuU5QUVmqBa3/csbESUJiDIQ/eSNL7/ZhS/bZfGxnkVfsvNOwk304cyIh10ljVM47ltdsl4xMiy31p2JLciEFUeM1cKiNJ27ZbdC/GOT6ick1LkB72QZbOeJ1yvV6LUczTSyr4CyYOElIjO/byO8O2H4QInJLS3dfxajvD6CgxPTNh19iEuwfEMRPei05nqEumr/GJODvk0k2xeFu9Sut991Or/29jefsc2AiCWheI8S8XshlkWhXmf2TiRMRkZv6fNtFHE/Mwu+HTA8w3nEhxQERydOszaygW0rOrRrkHuQ6VbghmrnSgSvitbwpy/htFBMTJwm52Q1Ip3A9Ix8vrj7KtXDcnJTfTSnOnVOklOCs8mPP3nC83lvPWat9/Mzt750/T+HDv/V3ATtwJcPB0YinoMS5kj5zyHHZBGswcZKQWE2xf5+4Jc6BnJRmZSe7UImjCZlW96+fsuY4dlxIxehlMSJFZ54yS0eDuih7dmfKLnCO5ECKkvDNzisW7X8tLQ8TVh5B7PU7oscibZc2+X4P5RuZfpqX4AVbL9p0rK1nbuts25XEtMRaTjZczqDk7CL8GXsTvx1KRKELJBrWj5dyjg9UMxlU6lnI21kwcXIBb6w7KXUIstFhXiSeWBaDTVYmkzfvSHNHJOq8+3aDsrfoCylYEn0ZHT6KxFeRcVKHo5elFZmCklJsOnETWQXSzKb04upj2BWXhseXHpTk/PZjv8q4uw0i15ztbqONN/d+P6zblfTv6542HVNuNp+8hSXRl6UOQ3KWfE9KNWasUUmUDbrXt1o8qbnFUodgNSZOEhJjVj3Sb8tp3TuUcvbvadsGnpN++y+nY+LqY1gUdQmA5S0rcjV78zm8ue4Unlt5VPRj37xTgCeX67a4Hk24g+92Xbm7j/N0ubBsumrnuHPrKlQqAV/vuIz9Io7ncFbT1p7EoqhLBmfKFdvyPVexfM9Vh5zLXuRwM0IGITitv2JvSh2CVbgALhl1804B1h65gfE9G6NuNT+bjqUsU+HV32LRNaymTccRBAEFJWWo4uvldFP0kmNU/JgdTxS/K5m9mfM7/M/dGd5O3a1kifnj/cGmsziemKX3sS+2x6F53aoosWM3C0dVHEl6/zudhP/bcUnqMOzHii/mHQe0IucUKTH/v/Luk091a2T38zmCK9QE3C0Je+vPUxjevh78vJ2r9ZiJk4Sc4UsyZvkh3MoqxOH4DPz5Sk+bjvXf2WTsuJCKHRdSbTrOh3+fxe+HE/HDs10w959zSDIwhbA1rM3DBEHAl5FxaFu/Ooa2qydaPGQdZ8unkzUWBiwutTwpEfP1mqq4VaxWby8Xkw2vpeTMrLnea36uzlamzYn3hpXTE7v02n0O+JxLNK4xpTIba2LoZqi+74/mJjnfRM0uUKJ6gLfUYchSUlYh7qtTVeowLMKuemRUxSwoRxNsv3NfaMZaMeao6O/+0q+xoiZNtth5MRXf7bqKV38/LnUoTk0OXS+kUCzjiowpcq6wWMpRL8XcdVVcvfXN2u/7p1vlOVbRWRwxMmusXL/PWXom93GWn4sf912z6/HN6Tqdmlsk28/W2TBxchGv/3FC6hAcomKMhdw480BHOXGnC7uhSvGha841he6CbbbNmCYn9ix9mnW8IqVzJcfWsOd7ueG4c8wke0KmXYU1xwBX/pyeW3lU0utwWl6x3llmp68/ZfR5UkVszlslVtfm/51KwkE94wGnrT1p9HkbT9xEt0+jMe9/50WJw90xcZKQmHfX/zmlO7lAVkEJpq45jt1xtnWNk5Mvtpt3p9F9qt/krPbEpendLvXM9JZelZbvse/dVCrndNc0N7oJYkiyTHpEWGLvpTRJ1xBavucanl95xKx9NSfYkqq4Xc/IF+1Y64/eMHqe1/44gad/Oqz38XNJ2QYT3opr9KqDCTbHKDZnvEowcZKQvVuZP992Ef+evo3nRZp56+f98ch35b7lEnLGi4dLc3AfEIt/9J2ki4qzcacWT3sz5510lq5WligutS3pcPS02vo+Aqk/l32XzZtlUeo4AeDQNcPdHi2VbyRhTckx3qtl+JL9WH/McOJF4mHi5MKSsrTvdiVmFOCHvVetTn4+/vc8Ptlywep4HDn9utXLyFn5oyWD67fDqezQNCL2GCcpPpfoCykIm7EFR+Kt+0GVQ2XAXWmWaH1dYsRiz8rxnXxp1vaicjM3nrHp+Yt3cC0nq0h0z0NO12t9652R+Jg4ScjRX7iI/9uDz7ZexOcmxiRcTsk1uLDmwavOsd5G9MVUPL70oNbsQSSezSdvocO8SBywsXK57mgiHv12P1Jzy5N8Gf0GWW3i6mMAoHctJE2a33/L1hpyfjcyC/BLTAKKlPbvEmRJjqJZ/gx1iTF+LgFXUnOh1DemQeMDf/ib/XqvTSqVgNwi3UHwlljnRHedXXEtw43HbyE+PR8/7r1m1QyZZ25lIzXH+br4SUFrVj0ZX0PFKOU7LqSIcBQSAxMnF1b5MlLxQ33YSNNyXHIuBv7fXnT+OMoO8dh2YTt9M8ui/WOv30G0hRcbqWZ1c7bqw7S1J5FbXIpxVlQuNb331xmcupmNz//jLFkVxCyDiRmGp3tOkbByNnjxXszefA5fRTr+cy8sKbPba998MgkRi/bihVWmu0cfu657HX7qh0NoNzfS6mm6gfLXJ6XrGfkoLCkzK2GV0916MT305W58uvUCEq38HF/5zb5T/pviiN6C1vRY2HTiJs7eyr63wUnKj61v562sQvywV3ssqat0K3bGl8HESUL2/s7vvaR/8Hl2oRLRF1L0Tntc0YIg9QB1fR759oDFzymV4wtxMWduZpveyYRCpfuNndNeg0T/dluNXnbQ4GOOWGjTkIrB5weuOH4Gwe6f7UD3z6Jx845updaaq0V8ej6GL9mHdzecwhvrTgLQP0bDnM+1YppofZP9WMIe3WjNcepGFh78YjciFu1BpoTly9kZWoDalVjTMvrmulN4+Jv9eh9zxgq4uXot2KmzbbeByYWcj/N9cEycJCRV60ZyThEmrj6GpbuvAgDeXHcSL642bwpSKSIuUpYZvXMuJqvHODnJnS972HxSflMDy7nbRgVDZcasQfWVn2PgSZwmX1dOUXmSfvCqOEnbW+tP4lxSDtYfuynK8QDgX43poi3139nb6PBRJPYYuHFmT1vPlsd9K6sQayqNt9A3/b4bXzbdnqW9QfTRmlXPxmNlWjk2UKp6XJSR90+qGyfugomTG9t8KgnKMhU2nbiFHRdScT2jQOvicz4pR9TzWduf/ZFv96PvF7useq6zXz5irmbgSqp5i2VKRYz32F53C101oa38djlDouiKipRlyC40b0ySJWXxwm3rr72XUvKQW1SK51aYN6Wzo4z94ZDONlf9fppiabdzVyRGwiFm+flsq3UTX0lVhPX9ZlbE8tKvxxwaiy2csaWQiZOE5PajUbn8DluyT5I4KruUIn7i8Oa6k3hNRosG67t2XEnNw9gfDyFi0R6Hx0OOpdnSKdVlQVmmwjM/HcYpEbpeyoklv8uW/oi3nLUNV9PEW8fFKCtqGHKaYa/QAROBOIuXfpF2DJMceIh8oRMEATcyC6yecCYpq9Cq55lTjxP7mm7qe73jgvG1OzPzS7BaJms6mTv1vJwwcZKQzPIms0jVLC2mnCIlNp24hf+dSlLP5iZHl1NypQ7BLMbqc0lZhXh3wymz76C7QPEym6HvkqPeg8otwNvPJWO/Hafg1huDlJ+3E97ptFSnj6MknyzCGFecVc8cRTau9WRvjvhqeNjw5a+YIELzCKdvZaPPwl0YsnivjZFZRooS/Nj3+sd7mzOL4/pjN/Dyr8cw559zYodllY/+PS91CBZj4kRuR6v/r0i/EO5aATBl8u/Hsf7YTQz92njrpTM219uLNe+FGK2ycq5gS+WZnw4jI8+2cWIVk/DYeo1Qlln3JbmV5ZjxodZwpxslljK0JIjYzC1V6XnF2BB7U7TrhC2JU8Vsrpo3n/53d0KVBAeNh7bEOZGHPZS/Rt1P7mKy6Zut7244jaMJd0SNx90wcZKSxL8alSdCMDQLnyZbIs6zcuFdR2L9XVxxGhdyYxNvxFxz/Oxqxsi5Pnc+KUcnvvh0B3UXE8HVtHtJniMSZks+y4IS7WvU/ivp+NLKKdOzC5XIzC9Bp4+i8Obd2fa0WPjaz9sw7omcT8ePorDtrPWThIjtqR8O4e0/T+GTLSK1ENhwkdU7rlDGP977r6Rb3RWQ5IeJk5vTrLjYo+n2XFI2Zm48jdScIny/+4roxzfXqRtZuJLqHF3fnI25ExNsOWO4EmDuAHtLyblrqdYCuBpvoak7sfYae5jhoPEwk35x7MBlQ6VTX7lNytLtumtt2fx6x2X8eewGcotLsenELcnuk83733kMWbzXIYsNk7gW/Gd8sXoxmFssKyYp2n5OnIVYbWlxqqC9AK689V1o3QRXhrCXhnSYOElIjlU6k9NxWxj08CX78ceRG5i+/hTS86QZqJyeV4xHvzuAiEV27Pus8b6kWTEFtL63VcZ1fqtsO5ssdQh2dSOzAB/+fcaq52r2HrXnnUlBECAIgt5uQI6opAHar88Zyri1FZSMfHlMBb/vcjouJufavDaUWSx8r+R8Y8Oe5F7pneuA8S9iTA4hh+JjbhnmmpKug4mThOTwpbeUtSHHSTTRgSAIuHXH/IqoGB/J/xxRQZERY5UAS8u4aF8JCX6jxq84gt8OJZre8S7tNUjuBWzOwpDmDALW55XfYjH3n3Po+FEUos5Ln8iK3fffFhtib+KWnqRV7pXcLWau+cS1XUgffaViQ6zhNcnEqreI0eKkydo1GG0lVRc8uV+XXJmX1AEQyYkY1yJrxnIdjs8U4czy5up3ly0dZ3RZgq6jmt1svoy85PDzA/L5wdeMIy45F2//eUrvfgdsmGnQEUV+yprjZu3nkLfdjjdKTt/MQpC/DxrVCrDsJDLk4pdCvZRlKhQqyxDo5w1AnPdAzAVwrVFcWmbWhAz2kJCh//cmp8g+3d7pHrY4SUjqmdgEuP4FPD2vBB9Y2X3Kkazp3ucMFAb+b3B/Vy+QGjYev6X+v1ySCVdkzp3o87cNr12Va+WkNpVP6w4lOznbsuUdLPm6P/LtAfT9YpdNiazcbDpxE+9uOAVlmXUtyGKwtFya+1uVW6RUzygJAIP/by/az40UdwkQA+NEHSWnULoJrwzdbB26WB7rb7oyJk4ScmQdcb++RcYEyy82jq7YXkuzbZrlj/89j7O37NsdKCOvGMt2X1X/Ld47pH2kn/Zdwy8xCaIdXSzXzGxpcaOcyGK2/Oa/tV63pUQOEwFcSc3Fvsu6M3VKmSPmGrgb++Y6/a1NtpL65pijbT5p/27KFVNRO7OsgvJy+Oa6U1h/7CY2nbhl4hn2U2CHZQjScovRbm6k1kQ2Fb8Tey+JmPjyhpMOfd2NSVxMnNzEMz+L82NzJTUPJWaOrygWYZG/MT8csvkY9vbiL8e0kocCO1RaD1xJxydbLmD25nOyqBRrMmcae8C8hFKqfurO7K/juuMR5v1P+sUNIxbtxbM/HzF78WNHOHDl3rT3ji5plW8cOPr8cvxquVdaqe129r0K7h0HzWipTx8RZ3vLLy6FIAjYc/c3QYz15Qyp3Er3v9P3knZBEDBn81m7nZvcGxMnCTnrj8ZnWy/o3V650ht73fZF1uzRhU0rTBE+hBOJWVp/L9VofRKL5l1WlRxrQAZotlCKPRjYpYj8mRob3O1olypPDOPg4luklLAblAsU+SJlmd1uaLhT19zKfom5LnUIorqUkos2c7abPebOVn9XaqXTLKIzN57BagvfXzcuimQhJk5uLD4j36qL3KqDCXpXD/9iu3ULRcqK8+QkVknLLcaS6MsWj0UQw8YTtzDpl2NsVdLDnd6REgeP5xi2ZB8O311gWbNyZO96UuXPVOpue+aut6Ypq6AErWdvw9gf5d/y72zscYNNSisPJAAAtp4xPlunWNf/tUcNzz5q7DFDbutZw80Ua75T5PyYOElI6jscggBEnbduMbuKxfA0fW/kh0BfokXGlar0VzBt+d2Z/MdJLIq6hOdXHrH+IDaIOp+C5BzHJ22WctR3055JZKaE3X8MOSjRwP7P7q5Rpfl2O7yrnMSVrH9OJuFEomW9ACLPp0AlAIeu2WfWT6l/A+Uup6gU2YVKDPt6H77bJd0C8mITBEFrchxrxF6/g+93i/eeXM8sEO1Y5NqYOElI6juQjmTNFN3ubtXdO3hiOnmjfPYwR02hqq+EO6LBydxTVKxto1IJkrTCpd7timqP96Tzx1HiH9SIlJwiFJTofs81u2NdtXGyF2cih3WyNB2Oz8Rj3x+UOgyyQGZ+CVbsj8f52zlO1aPD1A2hvfomq7LiOMv3XjM7JlPKTKxzdjUtDzP+Oo3EjHsJljvV4egeJk4kqoqJCwpKSmGgwYTMJKfFQSsIgoAbTnJn7lxSttHKxumbWWg/LxKrDsTj7Q2n0GN+tMWLF19Ly8Ovh65bPZ3w2VvZdml1cvQPelJWIbp/Fo1eC/c69LyW0mzhmLnxjNkT3Vij8tiqyp+JM1S5nCFGV2DsCqDZtVXKacv1EQQB19LydK5h+020LGfkmR67fD0jHw98Gm1TfJbKN3KD94llMVh79AaeXyVNbw2SDy6AKyUZ/irZWodbczgRj3Ssj66f7LD4uUXKMvh5e9oWgItQqQSTd8CkMO9/57HqYIL5T9BTxh31qoYv2W/08Xf+PI284lLM/d959bavoy9jRIf6Zp+j/1d7AAAFVraoTlx9DF890UHybly2OnR3DJG1LcvZBUrsuJCCwW1DxAxLzdClduPxm3iqWyO7nBNwj8kP1h1NRG5RKYa2q2dy39jrmejSuKb6b9d/d8TVa8FOqUPQsnjHZXwdfRmT+jTR2i7GtPSfbrmAdDMSLDEduJKOQW30X4Mquj5fS7NsoXNyPUycJKSSYcXYVlmFSuywctzU7ewiNKldReSInNOwJfsMDqKXstRYlDQ5oYqxe5ZW6GyZQXLdsRvo2riG3sfu5Jfgld9irT62s5j06zEcic/EzrhUuxz/5I0sJGUV6nyuDu1C7IRZgqnETxAEvPdX+QLjdar5mjze40tjkLBguOYJbIrPHWjezEyV2ULpX0dfBgD8uC8eY828ASHAvBu0zlA9cvYbXmQddtWT0Nkkw6vVS8XWC0FOof4FJuVKrn2UHTUGyVX9d/a2yX2Mze5m6bdA7J/Piq4vX0dfNrhCvDMy9D4dufsat5w2/blZa+CiPbrx2LneY+zqUvnUp25kWXz8IzIqG/nFnADIlVzPEKdlpaRUhTWHE614JpMSkicmThJSlsrvwpCeZ9tMXIUlZbzckZpUaelvh0z/UMenG64YSD1jesX5c4usbBGR5/0ASeXLfGbPkd8fsPg5n2+7aIdIrGPNTTcWU/m6eafQ9E5m+GHvVby/6YwoxyKSAyZOEtous1mXAOAHM2epsUcPi39PJeGcA1rhjP28az5WecDr+qM38O3Oy3aJydmVymzQsi2yC5RaE2CYMyDb1kTL2W82yHE8njnk1NVGymQ9q6AET/0Qgz+Paa9/Y8llvvJC4OZgT71y649Zvu6QvYnV0q1vKnvzirr8C4dce6yQfTFxklBWgXN1azOHAMHqCsBXUZdMDuh3pMrjVt796zS+jLyEyynSdqOT4wKy28+Vj2v740gixv5wCDlFzlu2U3OLtFp6HPHTWPkjtXUsmT1ni9PnNyNdceRUtShUarc6xSXbd3p0Z0kMvo6+jEPXMvHOhtNWH2ND7E0RI3IvcpxwYEm0ODcJTc2wZ5h8fud+2BcvdQgkI0ycyCoyrLubzVjiUaRRsTLUTSrH2u5TlY7vSioqpDM3nkHMtQwsu7sYsr7B5XJM/DQJMD7+yfCzrKOvbv3Rv+Uz/TlLxdvc8TnZEt8smrb2pNbffx1nZR8Acgr1X9NMlT9bv8q8Y2+aSubXS3fwRaR2EikIAp5feQTvbjglUUQkJc6qR24lI68Yvxu5O15q5y5HhTIaZ1F5+ndBEFCoLEOAj+2XBWPrYTgbc6aU3nHB+tngBMiry5g9fRV1SWebo1vHHEmz5BzW02XJVtlWTMajb9kHqcqfs9wYkJK53eelZ14ZunWnEEcT5DOpiTXiUnKxOy5N6jBIImxxItHJuRL4wqqjWKSn8qbP5VRDXfKkfX1inT18vvbigjP+OoPWs7fj9M0si4+191Ka7BZntJYUN3hd+aayqcrxygPu0Q2mcuuWGJ95xfT5lvhG3zhNicof8ybndOG27uLs5iYSX0dfxsGrGWKHZDcHU3RL6S2RJs4g5ySLxOm7775DWFgY/Pz80L17dxw5Ynhl5h9//BF9+vRBjRo1UKNGDURERBjdnxzL3i02tjp1U3vyCWNJnjkzs1nqksTjozTdqdRtat3dAcqv/XFC7w+jMf+cSsLoZTEWPWfe/85ZtL9UpKzcuULF0lSCcPqW/JZlEIux1sopa447MJJ7rB+sT+7mfJL+34GhX+/D2UrfW7HXmCpSyuNG3LprnjrbJq4+JkEkJBeSJ07r1q3D9OnTMWfOHBw/fhwdOnTA4MGDkZqqv+vL7t27MXbsWOzatQsxMTEIDQ3FoEGDcOvWLQdHTvoUl6psvpPqigsDV5i+3nCf6O92XbHp2IUlZRZ3BczQszL79YwCDP16n8XjsSxZhyYuORcrDyRYdHy5EAQBi3dcQuQ5cWbFNJYcuUNXJqm7ddpzJs85/xi+OZBdqERSljzuXBu6oWPv8ucO5duZTVhl+Kb0AasnfTCP9ZNKENmX5InTokWLMGnSJEyYMAGtW7fGsmXLEBAQgBUrVujd//fff8fkyZPRsWNHtGzZEj/99BNUKhWio6P17k/2Yc8fvKd/OmS/g1cSbWRsij26HFae1UvTF9vjMP+/C1ZN7V1apkKr2dvQavY2i57f5ZMd2HpG/6KjtozHSskpxoL/Lhocg1FQYmgwuvQ1qV8PJWj9nagxNTkA7L6UhsU7LuOlX2PtGkfkuWSsP+b8kxeY+kilHivw2HcHJTv3ZSu62lW4mGxZq3CF23qStfMGWpjtPXkDJ4eQt8x889d1dNYlCYgsJenkECUlJYiNjcXMmTPV2zw8PBAREYGYGPO6/RQUFECpVKJmzZp6Hy8uLkZx8b276jk55T8QSqUSSqXzTpkstdJS/RVfVZkKZWW2TYBw6Fqmwz6bmRvPYHSnenofE1SC3jhKS8tMxmfocVMzyi3fcw3FBpIK9bFLlFBW6j2QrtFylJlXiBoBPmbFAwBfbLuIgS1r656nVAml0rqKzTYjrTGlpaV6y49SqYRKZf/uGaY+u8pdNE8mZqJB9Xvv5+074k4dfDg+E03rBOhst3diZk+a73GZGd8XKVk+g6J4vom+hJ5NgvQ+Zuw9UyqVyMm3rmtUUnaRzrE1L0uaj5VqXMv1xWNNZdnQ8UmeDJXDMpXrfXZlZdrXKjlft1yJHN5nS2KQNHFKT09HWVkZgoODtbYHBwfj4kXzVkR/7733UL9+fUREROh9fP78+Zg3b57O9sjISAQE6FZWHMt5JzXcv38/9MV/O/k2zhYkAdDtF2yJrVu33v2f/d+je+fSPl9BYaHex2JiDiL5LPQ+R/8x71GWeMLUyJVVMcbHVkVGRSGg0ilzSu7FsSNqB6p4Gz2Elvz8/Lvxah80KmoHquocx/bPY+fOXTh7R4HKZWTr1q1ITfWAvRvCLS1bJ06cgOLGvQri6RTd2G217ugNuMaIpnLvr96BivfoxIkTgPr9c95rnj0cu55lsDzq+05qPhafq/scc+len7z0PnYq7V5Z13dNK8+bLItB8zhnUsX/LpF4VCqVwfJ58cJFuNpnFxsbi5L4yjcDeM2yN0P1JUcqKCgwvdNdTl0iFixYgLVr12L37t3w8/PTu8/MmTMxffp09d85OTnqcVGBgYGOClWvaTGRkp7fFr1798aXZ3S71NULqYc2TWrgz3jzEl9Dhg0bBsAx71HFuSqfz8/PH8OG9dV5rEePcHRpXEPvc/QdU9O807uAUtvurgwaOBCB/toZTXpeMWbF7gEADIiIQM0qui1OUVFReo9XpUoVDBvWW+d1RGgcp0wl4PTNbCDG9olYHnroIXy0aJ/O9mHDhmFjxnEgy7592y0tW01btcWwB0LVf+fH3sTaa+dFjalMcJ2kCQD+vn6vQtW5cycMbRsCwLmvefZiqDwOGDgYiNHfBX3YsGE4kZiFxWet+z56hXXBoNb3blhqnlvz2lV66jZ+vXJGZ3uFMpWANw/pv64YonmcwuO38MdV55gkxh15eHhg2LDBAHTLZ0jjpkBiggRR2U+XLl0Q0aqu+m+lUgnE7JIwIvdgqL7kSBW90cwhaeJUu3ZteHp6IiUlRWt7SkoKQkJCjD73yy+/xIIFC7Bjxw60b9/e4H6+vr7w9fXV2e7t7Q1vbwtuy5MWT0/9RcfD0wMenrbfhXLkZxMdl44hbfV319MXh5eXl8n4DD9uewXZ20e37Hp7qzT+b1nZVigUJl/nN5FxWLLTtskrKuQr9Xfv8fb2hocDxjhZWrZm/3MBQ9rVR91q5TdnPDxc6y6rvXl6mv6+uDMPTy946Cn2Pxww3PLs7e0NTy/ry+GUP04hYcFwg8eu4KVxDn2foYcVXfUupRWgTf3qd4/v1PduXZ4C+n8bAOCHfQmODcYBPD09ea2SgBzec0tikHRyCB8fH3Tp0kVrYoeKiR7Cw8MNPm/hwoX4+OOPsW3bNnTt2tURoZK5nHB86Cu/Hdc79kiuL8UeM3H9eui6zrYyQVDPcPjjPvHW2nn4m/16ty/dfRU3Zbo+xv7LnOHJWnJe100OBny1G8/+rNtytCRaz3pLd5kaKylnXAPHidxN6OOS5bOMBpHUJJ9Vb/r06fjxxx+xevVqXLhwAa+++iry8/MxYcIEAMD48eO1Jo/4/PPPMWvWLKxYsQJhYWFITk5GcnIy8vKsn52IxOWMs+ucvqk7JbGhusnWM8lYf/SGVecRoz1lyGLdbm6arKlUzfr7rM62AV/uwcPf7HdYJe3zbRdtmmWMyBklZBRYPPXye3+dxosyWEvG1muDa3VQdV3vbzojdQhEsiF5O/mYMWOQlpaG2bNnIzk5GR07dsS2bdvUE0YkJibCw+Nefrd06VKUlJRg9OjRWseZM2cO5s6d68jQ3ZqhHlUCBMz7nzjjP1Jzi0Q5jjmSsgrRITTIrH1XHChvfenbog5CqusfW+domh9HSZkKRcoy+Hnb1qUst7gU52/noEwluH2rgRPf4Jccp5wWnxjT1N/ILEBQgDeq+RnuomKP5QE0v0oyWH2AiMgikidOADB16lRMnTpV72O7d+/W+jshIcH+AZHVtp4RZ1FQwLHdA7adS8bQdtrjnJJzinAjswChNfXPvphTpJRN4qQpfP5O+Hh64NxHg+HtaXujcpaBtZiIyHn1WbgLvl4eiPtkqGQxMHGSN348RLok76pHZEh+sfH1jMS073I6hi/R7QL31vpTVh2vyMhCt45QUqZCaq5567yYakwZuGiP7QHJiNKKdXvY4ESuqLjU+HehzA7rqrH11vlYsyg7kati4kSytOdSGl757bjDzpeZX4JzSbrTUWouLFtZaZnhGkCpg8d52aNLTYU7Ba7V4nQ1jeOoHImtCs7r1A3dsZ9iYjdO53BKzxhgVxSbeEfqEMgJMHEiqxSU2LdF5bkVtq8XJAZj6c+Lq4/ihIwvtGJWSYqUrnPH0dTkGvqwekdE7kahAG5nu88siD/svSZ1COQEmDiRVZ5cHiN1CA5hbNaopOwiPPb9QQdGY5i+ij3v9IunohQIgoDvd1+VNBYiRzF1DbGuXZ199ZxJ+PydUofgMOxGKg1nW16BiZOEnu8ZJnUIZCcVfcJv3imQbA2gPXFpkpzXGVjbZz/magYSMwtEjsa1rTlseCFXkrdAIzPuiYE3d+TNlXoaEImFiZOEfLz49sudtfdB/jhSvs5T78934ZmfD+PQtQzxgjLTmVvm9Ut3x7pLzwWW3UU9fTMLX26PQ3xGvp0icl2WrlFEjvXDXsMtqG3qB6r/n2bmZDNERJZwsgYneUxH7q78mDi5rDO3srSan4/GZ6LHfbXsdj59d255N9cwc2ccrPBLzHUAQH0ZTj/vLO7kl0gdAunx2daLZu2351IaRndpCADIvjthTICv5WvFaVaS7DmpDRGRPTBxklDNKj5Sh0AmWHsnZOuZZMzefE79d5kdbqkoy1Tw8lCYrHwUlpTBi/UTUSRlO25RZldz8477DDJ3FZWvLRl5xTh9KxsTVh4FAJz/aLAUYRGRC3GyBid21SMyJjGzABdu605Tbo5fD11X/3/xjstihQQAyCooQfMP/sOj3x0wuI8CCpy+mYVWs7dh3r8XRD0/EbmmoV/vQ56BNfQGLNqjTpoAIMuKpQo0K0m8n0NEzoaJk4TYTcE5DP16H7IKxOlmpBKp5endDacBAKdNrK/xf1GXAAC/Hb5hcB9nu9tDRPZz4XYO1hwuv+mj+QulgG6idF7P2neW4E8gEXFWPTKbsxUWd/bi6mOiHEesxWR3c8Y8kikrJywkGVHeXdzbVGKzKy7V4mNrJ2PMnIjIuTBxIjLDsevyWui2pFLtVF8FRLOrIACcyGAlhewvxcBQJrYuuJ7frZhqnrcLiciZMXEicnJz/zmH9HzTs8StumT5DFhEljqXxQzJFYmV8Lzz5ykkZpSvhcZkmoic7WYKEyciJ7fqYIJ6zBOR1P5NZILuKjQTm9wicboZ55eUYcKqIwDKZ/wkInImTJyIHMSelYRYG7oSxqdzUVci0qXZBfjL7XGiHfdqGq85RFTO2Yb7M3GS0PD29aUOgRzo063npQ6BiMgq+Xa48ePBGggRORletiRUp5qv1CGQA207myx1CEREJqm76Nl5DJIHBzkRuT3ByUY5MXEicpAC9ucnN8Y6MlXGtQyJyNkwcZKZJ7o0lDoEshMmTkRERET3cIwT2eS9oS2lDoGIiMjuy9OyvYnkpv+Xu5Et0kL15JqYOMlM7aoc90RErmXsD4ec7q6iO6v4rOzdlY499UhurqXnY9XBBKnDIBlj4kRERHYVcy0D0RdSpQ6DLMS8htxRGe/ykBFMnIiIyO7yS0qlDoHMVNEStDsuTdpAiKTAxMkmIzq49lI7TJyIiMju2HrhPBZuK1/sdsWBeLudY0n0Za0FdonINXh7Wva9drY8lYkTERERaRm4aI9dj78o6hLScovseg4icjxXvyHCxImIiIi0XE7Ns/s55v7vvN3PQUTyxgVwiYiIKolPz5c6BCIiIpswcSIiIruLPJ8idQhERCY5V/sHORoTJyIXdjwxS+oQiIiInEbU+RQIgoAf99tvchRXZun6bJwcgohkI7uQK6ATERGZ62JyLjaduIWF2y9LHYpTmPdIG62/nS0RshQTJyIiIiKiu6avPyV1CE7jia4NbXq+s+VZTJyIiIiIiMhirt7CVBkTJyIiIiIispnlY5ycK/Ni4kRERERERBazNFFydkyciIiIiIjIYh42Zk7O1d7ExImIiIiIiKz05RMd9G5f9KT+7c6MiRMREREREVnl8c4N1P9/pkdjAICXhwJenq6XZnhJHQARERERETknhUKBs/MGIy23GE1qV8G5eYPh6aFA5PkUk891srkh2OJERERErqVn01pSh0DkVqr6eqFJ7SoAgCq+XvDz9pQ4Ivtg4kREREQu5bX+zaUOgYjMwRYnIiIiIiJyZ862RpM5mDgREREREZHDCU7W5MTEiYiIiNzGj+O7Sh0CETkpJk4y8voA9skmIiKylbE1OQe2DkbCguFoGVLNcQERuZCx3ULV/zfWG8+cnnrO1puPiZOMtK0fKHUIREREbqHHfZx5j8garz7YTOoQJMPESUacLOkmIiIiItKrXnU/qUMQHRMnGSktY+pEREQkhgEt66r//0BYDQkjIXJetnRp7W5Gq66z1XyZOMlIfnGp3u1zRrR2cCRERETOq7q/N2pU8VH//ZBGElVBiqmSn+za0OHnJLJFmcrZUhv7YuIkI92a1NS7fUKvJuh3fx2j+xARuYuXH7xP6hBI5lrVC8SMoS3Rp3ltfPd0Z0zs3QSjOjfA9+M6SxrX0Hb1JD0/kaUqJ04v9m4CX+976YOxiVgAINxEq5OzrfXExElGwmpXMfjY1091wmePtcMPz3ZxYERERPIzfWALqUPQq0PD6lKHQBpqV/XFrxO7Y3j7evD18sSiJztimInEpXU9+07SZKKOaVe9mnEyDNLV4z7jN+Qrf2c+fLg1ggP9MLlfU7wZ0QJ+3p5Gn185sfLxcu7Uw7mjdyPV/b3xdPdGCArwMb0zEZELU0ha/TTM18t4BYLkpVZVX51tv0zsZtdzKkzdnrej2lV9sXhMR8nOT/LkYaJMvj6gOe7Tc2P/3SEtMS3C9DI6lQ/fs6l2Au9c7U1MnIiIiMgNvdinCbo2vjdpxJiuoahd1Rf/TO1l8rmPdWpg1Tmr+XlZ9TyxjLQybnJdxvKmRzvWh4+XB/73Wm+M6RqK1S9YfmOhcmJWr7q/xceQEyZO5NYWPdlB6hCIyFXIsyHM7TSuFWDWfgE+Xlj7Ug/13w+1LB9L3L5hkNHn/d+YDpg/qp1VsXUKNXzskR3rG3xs1sO2TxLF4umeXuzdxOjjz/YIM/jYp4+Vl/Mqvl74fHR7PNiijs3xNKzhj5/Gd1X/7WRDnJg4yUVwtXtdBoa35+BRR+krwkWAyBm0CK4qdQhEDjFzaCuz9/XyvFcNMtVlCQA8PRR4rFNDk+M6DDHUVW/Rkx2w+KlOVh3TmHmPtFH/3527+jetY3gMuSt7uH09fPhwa7xlZFxojQBvvdsXjGqHqr7it5AG+nsjonWwyUkl5IqJk0x4eNwrQd+O7YSDM/oDAJrXZWXHWQT4cHwDmfbQ/dIk696evNzbm6k7u2R/p2YPwpC2IRY9p3uTmqjq64VezWrbfP5WFk4usWZSd6x5sbu6698jHfS3OlnbxU+zcjqqs/t204t+q58k5416s6+ks4C+M/h+AMBrA5ob7YKqb+Ixe/xmDG0b4vRT8vOXVGKv9C3/of1w2P3qbQqFAvWD/HFu3mD8N62PznMWWNlFgOxrzaQepnci2Vk4ur1Dz/f9OPvOjDm6i3P/KJlDoQAm9Aoz+Lip6W+t8ecr4egWVhMa97gwbcC9gdHvDL4fg9qEoLcIle+ORrpzkWGPd26I6gbunhuz9qUeOD5rIKpo3F3vFqZ/pjHNWff0LQz67dOWtRrVCPBBz2a11S1RXz3ZAR892kZnv3rV/Uweq1YVH4RV6qbo5XGvmtewRvljDYLKx5isfzkca17srn5c8/9yo68u5Axq65mAxJGq+9/7PrRvGKQ3eVYoFBjUJgQHZ/THF3b4PXzqgUYAymcdXfpMF/UkOjEzBuDw+wNQs4pztYQycZLYWwObY8EDpRjUOljnsSq+XlrdCCo81a0Rzswd5IjwnI4lq8MH+nmJ2ueblR3nVM0OXRGM8ffxRHCg/X5MFz4u7g+foW4cwYG+kk4rO2dEG4OxjehQH8uesT5BDa2pO3j5gbCaWP9KOB7teK/i8aZG95eKyui3T3fC+PDGVp8bAD57jDfHTHmvve6C8Z+MbGvVsRQKhW5ZNvDjoNk7ZNUE7YHyIzvWR9M6tvUS8fb0wNC22t31W4ZUQ+9mtVG3mvHrRszMAdj9zkM4O28wXuzdBK3rBeKxTg2w7Y0+2Di5p7qCGv3Wgzg4oz+6NamJns1q49/XeuPUnEHoKULSb62X+xpvlTHWkvfj+K64r04VTO7XFF8/1VHkyGxXw0AXyREGWhftqVdTw59x/SB/PNE1VPRzDmsXgu1v9MW6l8O1todU90NwoB88PZyrzx4TJxnwt6LeVs3P8rtq7uDPV3qavW/kmw/yfSTUtWMSY8iozoZbhWxZa6Wan5dWxU5TFSsSxKMfRODw+xE4M3cQJvXR7obWqGaAKAPWDalipOur592784YSN4UCFnfX0vTh8NZoZqCb9AMGWiIqxgIEBfhgfHiY1ecGgEZmTm7gTCoSSzE8EFYD9asAM4bcS1wjWgXD3wHdpXtrfD9DNFqBujWpic+tuFuvb5xHnWq++G9aHzQI8keNAG9smtxL3RPFHFV9vfDhw62xdVof+Pt4omVIIDo3undT0c/bU+tYbRtU12qZkII18wM0q1sVnz/eDgNbB2PnW/3w7pCWBrs6anqp7304OXugFWe0znMGrgcP3V/HZMIIlHc/3f/eQ1ad25yJF8Jq67/eiDUGSaFQ4P6QalaPC5QbJk5u6q9Xw7FmUnecmOW4i4eU9A1wDKnuBx8vD6um1yT5mfpQM5P7aM6gVSG0puMrqQ1rGK4A9W1u/RgoXyMtQM/2sLwVpE618lalan7e+GC4/ZIkfQwN1N/7zkMGk0Ox+Hh5qJOzysY8EIpFT3bAnnf6AQDmjGiNUZ0aoH/LuqKce8Mr4XYZkO3MKnd/rH83YZlopLumPYzpGorX+muvW/Ny3/tQv7oflmt0Qapd9V4Lg7U3QlrVC8T+9x7CkQ8i1AmhYKIW7GQ37s0W0Ur/d2v7G30x5m43MHN8+UQHvDekJd4f1gpBAT448sEA7HzrQVFi7NwoyOBj/j6e6nHrmhQKmJXsVw/wVnez1CfukyFmxVhxzgoHZvTH9jf6om41091A6R4mTm6qS+Oa6Nm0Nmro6VsqRZezqDf72nwMY5XRDa+GG3zM2PSallaGNrxi+Dyk3/fjOotynLcH32+0i1PcJ0PQo9LYlyo+nqhT1Re/TeyOv14N1xq/IJbq/t4WTRzygg0TDFR0HXu+Z5jOY1V8xb3b16Z+dXjbsaZm6G5nvSD7/MhXHjOlef7YDyPU//f0UGBU54ZoXKvK3ec1waIxHbWSOWPXIlOCA8tf3xN2GKv2sZVd2RzhDyNjRH8zMvamIsnsJ/KkKy/1KW8JGNg6GMdnDcS/r/XG56Pb69w1nzmsFQ7M6K/1W7rr7X6oVcUHnz/eDu8ObqlzbM3fFWOtSAqFQmuAfqdGhruif/1UR71d+y1Vce14zkB30zkjTN9AGdLG8tZeY0nhwtG6y4Z4KKC3i5dCocDT3RthWLsQ/PlKODo3ClK3Lo3u0hCv9muq3rduNT/cV6cqvnzC+mVJJvdrioQFw/Hj+K5Gr/P6Xp2/txcmijChjCULb7dvWF39/wZB/rhfzzi9irfVUOu6u2Pi5IIqd3Gx9Iv5fM8wfDhcezrXirur9tI8uJrOatLG6KuvGas0twwJhI+FPypTHmqKHzXWGjBH17CaVjepO4sXezfBglHt0CDIH1/Z8INToasF49JMKTPy41vx41Kxxsv+9x7C8dkDoVAo0Lt5bXRpXBNLxmoP7Na8c6xPxYxFUx5qqvfx31/sjp1vPYgfnjW/HBmbyajifPqsmdQd47qXV3bMqdzYwtfLA28Pvl9rvI/Y9E3bPKZrqGgzPQ3V6Mp3bt5gzBlxb0B+rUo3lGpZOMC7cuW68oBrc7rnLBBxrNojHepj4ePt8XQ38+/Oi+GHZ7ugW5PyytdTDxgfOxFu4PofZGKyh51vPYjlz3bBWJFfW0TrYMTM7I/lz3RBzSo+aNugusF9K5fVan7eiJ010GBryM/PdcWhmQOw792HEGhBd/F3Bt+vNSvnsHYhCPDxxI7pD4r2XZz9cGtEv/Ug5j6iPUHFkDYh6NO8Np7vGYaNk413iW9ixdTfxhrTKt7db8Z2wqyHW+PIBwNwZu5gg/t/9lg7fD+uCx4Iq4mNk3uZnIbdlgl1KsKuZWDh5IruxCqV7gsc2DrY5HABzbpYl8aGfysrJjPRTIz0aVa3Gv6e0gsH9LSAVTg5ZxD2vfuQJL0xnAETJxe05XXt2Wde798cm6eYXgm9Qt1AX62ZYLa+3geNa1Wx+zoIC0aZX1G49MlQ/FKpi52hNZn0tSg9bMZaWe8Mbmn2oEXNZnpjTequ4L2hLfFUt0Y4MKM/HrfgB0ezZWnZM53xZkQLLBnbCXWr+eGVB/UnHpZqaODurWZ3zB3TH8SpOYPQsEaAzp26ZnWrIn7+MLzevxk+HN4KB2cMMDqOZ8pDzRAzsz/eHnQ/uur5UevVrDZqVfXVaT0xdSfvu6f1t8L5e3ti2TP6H2unUbFTKBR6f8T1DZyO/TBC780Vfd0aK7w96H5U9fWCv48nNpmoRBljrLXR39tTZ9zF2O7aFdH3h5VXKiq3sFWMPTF2zdK8y+x/N9FZOq4zZg5tifYNg0Ttj/9YpwbqGzebp/TCzGGtTM4SJtaA6X9f643FYzriyQdCHToIe8nYThjUJgSrJjyANZO649V+TXHpk6EWH6fihpjmTZph7e4lvXUD/TC4TYhdXlu96v526RaqUCgQUt3P4oppFV8vrJzQDV8/1RGbp/TC9+O64MzcwQbH41nDw0OBpnWqaiWDdav5YtmzXfDrxO5QKBSo4iN+V1JjnRArQhnRoT4m9m6CutX8rBqzKYWKOCvf8Nk4uae6zBr6/D4Z2RYv9rl3k2XdSz2w7JnOCPDx1PnNXPZsF8wZ0RqrJnQzuUhtx9Ago2MOA/28mTQZwcTJif31qv4Ki0IBrTvn3l4KtG9Y3ezBuYpK0wm1rl/efWndy+H48okORu96m8PQAr+NagWYfWwvTw+TF86JvZvgr1d7Yvnd9Qk0f1i/0NP0r8nQlMIdNLox3qdRKQusVMGzJFG1lr1bAfWp7u+t8wPw3pCWCL+vlt6K9vM9w/Ba/2b4vzEdMKxdPVz5dCgufzoUQ9rWw7SI5uqBvOYksubod38dzBzaEr9NvNe1Z1DrYK0fEm9PD6MDoRUKBaYPuh8v9rkPPl4emNi7CZrUNlwBr1fdHwqFAr9O7G5wGuzKVa8WwbrdIzQNb18PFz/W3299SNt62P12P61uV2O7NdK5c9mu0h3y4EA/PNqxgU6yUquqL94c2EKdPFSo3K3RkFpVrJ9cY1i7elqVYE2vPHgfjn4QgYsfD8HW1/vgf1N763QjfrRjAxz7MEKnha3f3c/739f6GOxuW8XXC/vefQgxM/urK8dD29XDy3crJF8+0R5NalfBoieta1W98NEQdG1cA2O7NYKXpwfOzBuEmJn91deQVvUCsf2Nvjpd1OpozJxmSXe9GUNb6vQUmD+qHdo2qK5V+RdrLJYpFd/tAB8v9GxaG16eHiZnYZw2oDke69QA7w65H23qB+K7pztjWLvya8PjXRri3LzB2Pp6HzzUQrrZ3yyl+TthTRc2fR7t2EBdjuyZDFf0XnmgifaNHn3duzQZGpNkjLFxfZXrJHJVuR6wasID6v9rTiSy/uVwrck6XuilfePq88fb4eLHQ/BMpXGpXp4eGNK2Hs5/NARt6mt3K69ZxQcTejVBzSo+NnU9JNOcI2Unvbo0roElYzvh9T9OoE/z2th3OR0AEOTvg0c61EdpmQqeHgoE3L07tOyZLhjx7X6d47w3pCWizifjalo+sguVaNewOpLPF+rsV7uqL0Z3aQiVSsAX2+PU2709FVCWmZ66ZcpDTfFIhwY4nngHW07fNrBPM7SpH4jnVx414x3Qf87ZD7fGphO3MPWhZlr9zle/0A1T1hzHvEfa6AzI/PzxdkjPK0FozQD8sPcq5utZK2tst0aYP6odkrIKcTQhE8Pb1cPTPx3GkfhMdRepCh1Cg/DXq+F4fGkMgPI7Rx/+fdaM12Q+U7PlfDi8FT7ZcsHoPpc/HYrmH/xn9jm7N9FtKXm1X1O82q8p0nKL1dtahlTDqgndtH4sABjsg2+sG0zH0CB4eypwNOGOwX1e618+MYRCoVBXfMX0aMf6WLzjstF9/H088cdLPRA2YwsA7VnEHmhSEy1DqmndWVz/cjieXB5j8HjGWjzCaldBWO0qmHW3TLVtYHxsVrcmNdGmfvl7HFZLNwms6uuFCx8PwYy/TmPt0RsGxxyO6FAf0RdStNYCMTXzUpPaVRCfnq+zvaLi993TnfG/07cRm5CJ1THXAZRPLxzRqq76rnfr+oZfX0XrePcmNXE4PhNbX++jfp6/jydWPP8AjiZk4olluu+1sbuqzepWw663+xl/cUb4+3hig8bNLV8vT9Srrn3zqqICunB0e/xzMklnDM0XT3TArBGtsXDbRfx2KFG9vU41X9Sv7odTN7PV20Z2bIA61XzRMiQQ/j6eqFnFR2/C/1r/Zth5MdXq12VKy5Bq6ptVltKc3n1yP93JXqr4eqF1/UAolUqr43O0an7eOPZhBMpUgsnpxOVmy+t98PfJW5jQU7dF+vPH2+G9v87gx/FdMemXY1qPdWlcE8PahWDrmWSzzzWxTxNEX0zB0Lb1cOpGFjo3roGj8Znw9FAg0Jqph0VW8Ru3IfYmVjzfFdvPpmDTyVtaSw/UreaHr5/qCF8vT3QIra7zfa9Q+Wew8gQiTetUtanFu2YVH9QI8IZCodBJ5sh20pdGsskjHeqjXYPqaFjDH2duZaOkVKVeALDylMeGpl2uqPgqy1RQlqnUiZYhHh4KXPpkKLp+EoVRnRvi/WGtsOnETbz31xmDz9n9dj+E3f0Rb1a3KmZuvLevV6U7Zi1DtCtJQ9uG4L+zuhdgzcRBs0L6Qu8megfYd2tSE0feH6B/7IRGX/TK05n++1pvnLmVre6jXz/IX92f/LeJ3ZGUVah+bZq6NK6JhAXDAQC742yvqHQMDUJmfgkSMwsAlA+S79uiDvZeStO7/8TeTdC3RR0kZhSgYZAvhiw5oH5sePt6mNAzDN6eHtj/3kPo/fku9WN/TOqBf04l4Y8jiVrHCwrwNrpYrObkAxsn9zRZjiob1bkBNh6/pf67fnU/JGUX4d3B9+Nicq7RxGlQa8N3cjuIMNmJJYNvZwxtiQX/XUTU9HvJh7enB/6b1ker7HVrUhOv9W+Gb3ZeMfvYlccOdGtSE0fiMzFYz51shUKBs/MGo6xM0FoU1Nhd/wWPtzc6tmbJUx1RqhK0Wh2NzeTXqGYA/nq1Jzp/HKW1PdDPC+vutlAqFAo80qE+HulQH68NaI47+SVobqJFTp/Ka4RoeiCs/LtYkdTKzZNdQ/GkgfVTKo+B6XFfTfwxqQcUCgWyC5To8FGk+jFPj/LxesZUnmDgjYjm6psC3z7dCe0aVMf1jAKMX3HEmpeCr57soJ44Q591L/XAmB8OWXVsZyX1IqjWCqtdBW9EtND72JgHGmFU54Y6PRAqfj+/H9cFf5+4hTfWnTR4/A2vhOPdv05j7og2CPTzxr+vaXdfFasLtxjevdsb5oNhrVCjig/6twzGJ4+11Xn95ow1q9w7oHGtKtj37kOYtfksMvNLbJ6gy9NDgcPvR0BhYAINso0sEqfvvvsOX3zxBZKTk9GhQwd888036NbN8BTRf/75J2bNmoWEhAQ0b94cn3/+OYYNG+bAiOWl4q5iZyMz7gDlXXVWPv8Aqvrp/9i9PT3UF4Ehbephca3LBsdi+Hh54LTG4MwxDzTCX7G3cCQhU71t37sPoUGQbh/xyl/kyjMmabZSTBvQHG8ObKG3wqO50OD2N8yblU9f0mRK2wbVDbaI+Hh56E2aKnuwRR28GdECm07chJ+3J34c3xV/xt5EsbIMiZkFehNDTbvf7ofGtQKgUChQpCxDmUqAr5cnPh3ZFn0W7tL7HIVCgRbB1dAiuJrWHdp+99fRGkNTeUxWeNNa6HFfTURfSEGqRivSupfCjQ6yDfDxwuoXukEQBIuTJgBY9GRHdeL0ct/7MGNoS+QUlaK6vzdCqvvho38NP9fbS/dzjXqzL/ZeTrdqGu7Kng1vjO3nkjG4TQhCqvvizXWnDE4z/MqDTfX+4Osre6ZmX7v48RC0nLVN/Xe/Sn3X107qgeJSlcEpbfV1f9G8gWLpbJbls3xpv466gX54sXcT+Hh5YHyPUKz7dwd8GrTG59svYcHj7XRWhX+ya0PMH9Ve7w967aq+DqlkvjdEd6YzOdPsWlrRNRQAPDU+Cy9P869t/77WGw9/sx8TezfBGxEt8MqD5XfTK1rgGtcqX0z0+91XzT7m5U+H4k5+CeoGGp/1sPt9tZCwYDiOJWQiMbMA09efwrjujp20gsRRUV8YH94Yv9xtLdYcRzmyUwNkFyox559zep/fNawmdr7Vz95hmuXF3k3w0/54VPf3RnahbotmxXdOsxeLpRPVfDKyLVJzivR21Q6tGYBVE8p/P62pp1Qm5eLkrk4hmFoYwM7WrVuH8ePHY9myZejevTsWL16MP//8E3FxcahbV7ef7MGDB9G3b1/Mnz8fDz/8MNasWYPPP/8cx48fR9u2pqdazcnJQfXq1ZGdnY3AQPGnHraUUqnE1q1bMWzYMHh7y6tJ1dIv8KkbWXj0u3utGhWtLfpoJkL69ms/dztyikrx95Re6BgahMSMAvT9ojxB+GNSD/UMTDfvFMDf29PiWa/kRKUSEJ+RjwFf7dH7+HPhjTHvUcNlWxAE/F/UJSyp1HKh+b4qlUq8v+I/xGRVxW8Tu+ske3fyS/Dv6SSM6FBfJznKLlQiLbdY1AHIhmw9cxv/O5WEhaPb69yVS8oqRI0AH0RdSMGF2zmIvX4HR+IzcV/tKoh+60FRfmzMlZhRgPpBfjZP/1umEvBlZBySs4uw6cQtPNm1oc7Uu5n5JfjjSCKe7BqqNf7FFscT78DLQ4H2DYNEOV4FzeuZoPBU/3jvjkvFb4cS8dmotpKuGRKfno9D1zIwuovunXI5yy1Sov28SAhC+WQemte7L7ZfRGmZgJnDWhk5gq7i0jKjLamCIGDzySS8se4kWtULxE/PdUWvBTsN7m/sem9MTpES1Xy9LPr+yvl30x0JgoCrafm4r3YVvZNpaP7eP9OjEX47lIil4zpjaDtxxraKpaS0fHjDE8sO4nhiltZj1pZve8krLkX4/Gh0DA3CrxMNT9dP5rEkN5A8cerevTseeOABfPvttwAAlUqF0NBQvPbaa5gxY4bO/mPGjEF+fj7+/ffe7ecePXqgY8eOWLZsmcnzMXGyr5irGRj74yFU8/XCmXmGpwv9YvtFfLfrKl7t11Tv3d+cIiWSs7XvzOQVl+LmnQKdrnyu4lZWoU7FJO6TIRZ1E0vJKcInWy7gufDG6KrRWuhq5cwVJWUVol51P4cmgGJjOXM9qTlFqFHFB96eHhAEAWm5xfj5QDyW77mm3ufKp0NFWUPIXCxnzmXM8hgcji/vjZKwYDgKSkqt6pXgSJoxx80bCF9f41OaS0FZpoKXh8KpfzPkwpLcQNKSW1JSgtjYWMycOVO9zcPDAxEREYiJ0T9oOiYmBtOnT9faNnjwYPz999969y8uLkZx8b3uRjk5OQDKL7xyGGBaEYMcYhFD10aB2P1WHwT5ext9TdMeug+PtAtBk9oBevfz9wSa1PTTeszXA2hay99l3qvK6lbxwrpJ3TDmx/KxBdtf7wUPQQWlUmX2MWr6e2LR6PLWKc33ydXKmSuqU8ULpaWlUodhE5Yz11PD3xNQlUGpKlP//XZEM7w1oCkKSsrKEyqNxx2B5cy5rHyuMz7ZehHdw2pCqVTCWyH/z+7n8Z2x+2IK8q+dQFlZKZRKeSYnpeZXD8gIS8qjpIlTeno6ysrKEBwcrLU9ODgYFy9e1Puc5ORkvfsnJ+sfIzJ//nzMmzdPZ3tkZCQCAuQzT31UVJTpnVyQ/k/Zvc3qBAR6AxeP7hH9/XHXckaOxXJGjsBy5jy6ewK4kYCtN6SOxDJ+Xixn7qCgoMDsfeXdViqCmTNnarVQ5eTkIDQ0FIMGDZJNV72oqCgMHDiQXQ7IbljOyBFYzsgRWM7IEVjO3EdFbzRzSJo41a5dG56enkhJSdHanpKSgpAQ/dMLh4SEWLS/r68vfH11B1R7e3vL6osgt3jINbGckSOwnJEjsJyRI7CcuT5LPl9JpxXy8fFBly5dEB0drd6mUqkQHR2N8HD9a3KEh4dr7Q+UN6Ma2p+IiIiIiMhWknfVmz59Op577jl07doV3bp1w+LFi5Gfn48JEyYAAMaPH48GDRpg/vz5AIBp06bhwQcfxFdffYXhw4dj7dq1OHbsGH744QcpXwYREREREbkwyROnMWPGIC0tDbNnz0ZycjI6duyIbdu2qSeASExMhIfHvYaxnj17Ys2aNfjwww/x/vvvo3nz5vj777/NWsOJiIiIiIjIGpInTgAwdepUTJ06Ve9ju3fv1tn2xBNP4IknnrBzVEREREREROWcZ+l0IiIiIiIiiTBxIiIiIiIiMoGJExERERERkQlMnIiIiIiIiExg4kRERERERGQCEyciIiIiIiITmDgRERERERGZwMSJiIiIiIjIBCZOREREREREJnhJHYCjCYIAAMjJyZE4knJKpRIFBQXIycmBt7e31OGQi2I5I0dgOSNHYDkjR2A5cx8VOUFFjmCM2yVOubm5AIDQ0FCJIyEiIiIiIjnIzc1F9erVje6jEMxJr1yISqVCUlISqlWrBoVCIXU4yMnJQWhoKG7cuIHAwECpwyEXxXJGjsByRo7AckaOwHLmPgRBQG5uLurXrw8PD+OjmNyuxcnDwwMNGzaUOgwdgYGB/GKS3bGckSOwnJEjsJyRI7CcuQdTLU0VODkEERERERGRCUyciIiIiIiITGDiJDFfX1/MmTMHvr6+UodCLozljByB5YwcgeWMHIHljPRxu8khiIiIiIiILMUWJyIiIiIiIhOYOBEREREREZnAxImIiIiIiMgEJk5EREREREQmMHGS0HfffYewsDD4+fmhe/fuOHLkiNQhkUzs3bsXI0aMQP369aFQKPD3339rPS4IAmbPno169erB398fERERuHz5stY+mZmZGDduHAIDAxEUFISJEyciLy9Pa5/Tp0+jT58+8PPzQ2hoKBYuXKgTy59//omWLVvCz88P7dq1w9atW0V/vSSN+fPn44EHHkC1atVQt25djBw5EnFxcVr7FBUVYcqUKahVqxaqVq2Kxx9/HCkpKVr7JCYmYvjw4QgICEDdunXxzjvvoLS0VGuf3bt3o3PnzvD19UWzZs2watUqnXh4TXRNS5cuRfv27dULiYaHh+O///5TP84yRvawYMECKBQKvPHGG+ptLGtkM4EksXbtWsHHx0dYsWKFcO7cOWHSpElCUFCQkJKSInVoJANbt24VPvjgA2Hjxo0CAGHTpk1ajy9YsECoXr268PfffwunTp0SHnnkEaFJkyZCYWGhep8hQ4YIHTp0EA4dOiTs27dPaNasmTB27Fj149nZ2UJwcLAwbtw44ezZs8Iff/wh+Pv7C8uXL1fvc+DAAcHT01NYuHChcP78eeHDDz8UvL29hTNnztj9PSD7Gzx4sLBy5Urh7NmzwsmTJ4Vhw4YJjRo1EvLy8tT7vPLKK0JoaKgQHR0tHDt2TOjRo4fQs2dP9eOlpaVC27ZthYiICOHEiRPC1q1bhdq1awszZ85U73Pt2jUhICBAmD59unD+/Hnhm2++ETw9PYVt27ap9+E10XX9888/wpYtW4RLly4JcXFxwvvvvy94e3sLZ8+eFQSBZYzEd+TIESEsLExo3769MG3aNPV2ljWyFRMniXTr1k2YMmWK+u+ysjKhfv36wvz58yWMiuSocuKkUqmEkJAQ4YsvvlBvy8rKEnx9fYU//vhDEARBOH/+vABAOHr0qHqf//77T1AoFMKtW7cEQRCE77//XqhRo4ZQXFys3ue9994T7r//fvXfTz75pDB8+HCteLp37y68/PLLor5GkofU1FQBgLBnzx5BEMrLlbe3t/Dnn3+q97lw4YIAQIiJiREEoTzJ9/DwEJKTk9X7LF26VAgMDFSXrXfffVdo06aN1rnGjBkjDB48WP03r4nupUaNGsJPP/3EMkaiy83NFZo3by5ERUUJDz74oDpxYlkjMbCrngRKSkoQGxuLiIgI9TYPDw9EREQgJiZGwsjIGcTHxyM5OVmr/FSvXh3du3dXl5+YmBgEBQWha9eu6n0iIiLg4eGBw4cPq/fp27cvfHx81PsMHjwYcXFxuHPnjnofzfNU7MNy6pqys7MBADVr1gQAxMbGQqlUapWBli1bolGjRlplrV27dggODlbvM3jwYOTk5ODcuXPqfYyVI14T3UdZWRnWrl2L/Px8hIeHs4yR6KZMmYLhw4frlAeWNRKDl9QBuKP09HSUlZVpfTEBIDg4GBcvXpQoKnIWycnJAKC3/FQ8lpycjLp162o97uXlhZo1a2rt06RJE51jVDxWo0YNJCcnGz0PuQ6VSoU33ngDvXr1Qtu2bQGUlwMfHx8EBQVp7Vu5rOkrIxWPGdsnJycHhYWFuHPnDq+JLu7MmTMIDw9HUVERqlatik2bNqF169Y4efIkyxiJZu3atTh+/DiOHj2q8xivZyQGJk5ERIQpU6bg7Nmz2L9/v9ShkAu6//77cfLkSWRnZ2PDhg147rnnsGfPHqnDIhdy48YNTJs2DVFRUfDz85M6HHJR7Kongdq1a8PT01NnJpeUlBSEhIRIFBU5i4oyYqz8hISEIDU1Vevx0tJSZGZmau2j7xia5zC0D8upa5k6dSr+/fdf7Nq1Cw0bNlRvDwkJQUlJCbKysrT2r1zWrC1HgYGB8Pf35zXRDfj4+KBZs2bo0qUL5s+fjw4dOuDrr79mGSPRxMbGIjU1FZ07d4aXlxe8vLywZ88eLFmyBF5eXggODmZZI5sxcZKAj48PunTpgujoaPU2lUqF6OhohIeHSxgZOYMmTZogJCREq/zk5OTg8OHD6vITHh6OrKwsxMbGqvfZuXMnVCoVunfvrt5n7969UCqV6n2ioqJw//33o0aNGup9NM9TsQ/LqWsQBAFTp07Fpk2bsHPnTp2um126dIG3t7dWGYiLi0NiYqJWWTtz5oxWoh4VFYXAwEC0bt1avY+xcsRrovtRqVQoLi5mGSPRDBgwAGfOnMHJkyfV/7p27Ypx48ap/8+yRjaTenYKd7V27VrB19dXWLVqlXD+/HnhpZdeEoKCgrRmciH3lZubK5w4cUI4ceKEAEBYtGiRcOLECeH69euCIJRPRx4UFCRs3rxZOH36tPDoo4/qnY68U6dOwuHDh4X9+/cLzZs315qOPCsrSwgODhaeffZZ4ezZs8LatWuFgIAAnenIvby8hC+//FK4cOGCMGfOHE5H7kJeffVVoXr16sLu3buF27dvq/8VFBSo93nllVeERo0aCTt37hSOHTsmhIeHC+Hh4erHK6bvHTRokHDy5Elh27ZtQp06dfRO3/vOO+8IFy5cEL777ju90/fymuiaZsyYIezZs0eIj48XTp8+LcyYMUNQKBRCZGSkIAgsY2Q/mrPqCQLLGtmOiZOEvvnmG6FRo0aCj4+P0K1bN+HQoUNSh0QysWvXLgGAzr/nnntOEITyKclnzZolBAcHC76+vsKAAQOEuLg4rWNkZGQIY8eOFapWrSoEBgYKEyZMEHJzc7X2OXXqlNC7d2/B19dXaNCggbBgwQKdWNavXy+0aNFC8PHxEdq0aSNs2bLFbq+bHEtfGQMgrFy5Ur1PYWGhMHnyZKFGjRpCQECA8Nhjjwm3b9/WOk5CQoIwdOhQwd/fX6hdu7bw1ltvCUqlUmufXbt2CR07dhR8fHyE++67T+scFXhNdE0vvPCC0LhxY8HHx0eoU6eOMGDAAHXSJAgsY2Q/lRMnljWylUIQBEGati4iIiIiIiLnwDFOREREREREJjBxIiIiIiIiMoGJExERERERkQlMnIiIiIiIiExg4kRERERERGQCEyciIiIiIiITmDgRERERERGZwMSJiIiIiIjIBCZOREREREREJjBxIiIip/D8889DoVDglVde0XlsypQpUCgUeP755x0fGBERuQUmTkRE5DRCQ0Oxdu1aFBYWqrcVFRVhzZo1aNSokYSRERGRq2PiRERETqNz584IDQ3Fxo0b1ds2btyIRo0aoVOnTuptxcXFeP3111G3bl34+fmhd+/eOHr0KABApVKhYcOGWLp0qdaxT5w4AQ8PD1y/fh0AkJWVhRdffBF16tRBYGAg+vfvj1OnTqn3P3XqFB566CFUq1YNgYGB6NKlC44dO2bPl09ERBJi4kRERE7lhRdewMqVK9V/r1ixAhMmTNDa591338Vff/2F1atX4/jx42jWrBkGDx6MzMxMeHh4YOzYsVizZo3Wc37//Xf06tULjRs3BgA88cQTSE1NxX///YfY2Fh07twZAwYMQGZmJgBg3LhxaNiwIY4ePYrY2FjMmDED3t7edn71REQkFSZORETkVJ555hns378f169fx/Xr13HgwAE888wz6sfz8/OxdOlSfPHFFxg6dChat26NH3/8Ef7+/vj5558BlCc9Bw4cQGJiIoDyVqi1a9di3LhxAID9+/fjyJEj+PPPP9G1a1c0b94cX375JYKCgrBhwwYAQGJiIiIiItCyZUs0b94cTzzxBDp06ODgd4OIiByFiRMRETmVOnXqYPjw4Vi1ahVWrlyJ4cOHo3bt2urHr169CqVSiV69eqm3eXt7o1u3brhw4QIAoGPHjmjVqpW61WnPnj1ITU3FE088AaC8G15eXh5q1aqFqlWrqv/Fx8fj6tWrAIDp06fjxRdfREREBBYsWKDeTkREromJExEROZ0XXngBq1atwurVq/HCCy9YdYxx48apE6c1a9ZgyJAhqFWrFgAgLy8P9erVw8mTJ7X+xcXF4Z133gEAzJ07F+fOncPw4cOxc+dOtG7dGps2bRLnBRIRkewwcSIiIqczZMgQlJSUQKlUYvDgwVqPNW3aFD4+Pjhw4IB6m1KpxNGjR9G6dWv1tqeffhpnz55FbGwsNmzYoO6mB5RPQpGcnAwvLy80a9ZM659m61aLFi3w5ptvIjIyEqNGjdIae0VERK7FS+oAiIiILOXp6anudufp6an1WJUqVfDqq6/inXfeQc2aNdGoUSMsXLgQBQUFmDhxonq/sLAw9OzZExMnTkRZWRkeeeQR9WMREREIDw/HyJEjsXDhQrRo0QJJSUnYsmULHnvsMbRp0wbvvPMORo8ejSZNmuDmzZs4evQoHn/8cce8AURE5HBMnIiIyCkFBgYafGzBggVQqVR49tlnkZubi65du2L79u2oUaOG1n7jxo3D5MmTMX78ePj7+6u3KxQKbN26FR988AEmTJiAtLQ0hISEoG/fvggODoanpycyMjIwfvx4pKSkoHbt2hg1ahTmzZtnt9dLRETSUgiCIEgdBBERERERkZxxjBMREREREZEJTJyIiIiIiIhMYOJERERERERkAhMnIiIiIiIiE5g4ERERERERmcDEiYiIiIiIyAQmTkRERERERCYwcSIiIiIiIjKBiRMREREREZEJTJyIiIiIiIhMYOJERERERERkwv8DutMOykB9QukAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 1000x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "toad_self_play losses for epoch 1\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "frog_self_play losses for epoch 1\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "toad_self_play losses for epoch 2\n"
     ]
    },
    {
     "data": {
      "image/png": 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9+vUBAB999BFuuOEGvPHGG4iPj8ftt9+OhQsX2gtOq1atQkFBAW655RYAwOzZs3HXXXfZ+yZ17doVH3zwAa688kp88skniImJAQBcffXVeOKJJzyGpVGjRoiKikJsbCxatWrl9RqZzWZ88skn9t9466234ttvv0V2djYaNGiAnj174qqrrsKaNWswYcIEpKWlYcGCBdi/fz+6desGo9GIJ598EkuXLsVXX32F1157zev5iIjCEQtOREQhrF6kCYdmjVXlvFI5fPgwhgwZ4lRLNHToUJSUlODMmTPo27cvrrnmGvTu3Rtjx47FmDFjcOutt6JJkyZo2rQp7rnnHowdOxajR4/GqFGjcNttt6F169Yez9W3b197oan2XFarFUePHkV8fDzuuusuXH755cjIyECbNm3w/fff47rrrkPjxo0BAHv37sW+ffvw/fff249hs9lgtVpx6tQpe8Ft4MCBkl2j2NhYe6EJAOLj45GQkIAGDRo4LcvJyQFQ0xzRYrHgsssuczpOZWUlmjVrJlm4iIhCCQtOREQhzGAwSNZkTqtMJhNWrFiBzZs3Y/ny5fjwww/x/PPPY9u2bbjooovw1Vdf4ZFHHsHSpUuxePFivPDCC1ixYgUuv/zygM532WWXoXPnzli0aBEeeOAB/Prrr1iwYIF9fUlJCe6//3488sgjbvt26NDB/m/HwlmwIiMjnf42GAyCy6xWqz2MJpMJa9asQaNGjWA01nV5dixsERFRndB+mxIRke716NEDP//8M2w2m73WadOmTWjYsCHatWsHoKZQMHToUAwdOhTTp09Hx44d8euvv2Lq1KkAgP79+6N///6YNm0ahgwZgoULFwoWnHr06IEFCxagtLTUXrDZtGkTjEYjunXrZt/urrvuwvfff4927drBaDTiuuuus6+79NJLcejQIXTp0iXo3x4VFeU0oINU+vfvD4vFgtzcXAwYMMCp4ERERMKYUhIRkSYUFhYiOTnZ6b/09HQ8+OCDSE9Px8MPP4wjR47g999/x4wZMzB16lQYjUZs27YNr732Gnbu3Im0tDT88ssvyM3NRY8ePXDq1ClMmzYNW7ZswenTp7F8+XIcP37cYz+nu+66CzExMbj77rtx4MABrFmzBg8//DD+/e9/Iz4+3mm73bt349VXX8Wtt96K6Oho+7pnnnkGmzdvxpQpU5CcnIzjx4/j999/x5QpU/y+JgkJCdi2bRtSU1ORl5dnrzEK1sUXX4w777wTDzzwAH755RecOnUK27dvx+zZs/HXX39Jcg4iolDDGiciItKEtWvXon///k7L7r33XnzxxRdISkrCU089hb59+6Jp06a499578cILLwAA4uLisH79esyZMwdFRUXo2LEj3nnnHVx77bXIzs7GkSNH8PXXXyM/Px+tW7fGQw89hPvvv18wDLGxsVi2bBkeffRRXHbZZYiNjcUtt9yCd99912m7Ll26YNCgQdi+fTvmzJnjtK5Pnz5Yt24dnn/+eQwfPhw2mw2dO3e2j2bnjyeffBJ33303evbsifLycpw6dcrvY3gyf/58TJ8+HU899RTOnj2L5s2b4/LLL8f1118v2TmIiEKJwSb1ZBsaV1RUhEaNGqGwsBBxcXFqBwdmsxlJSUlITEx0a49O/kl4tuYr6RcTB2JUz3gfW+sL4wmJUVFRgZMnT6J58+Zo3rw5m1+RV1arFUVFRYiLi/MZVyoqKnDq1ClcdNFF9lEBKTzw/UNi6TWu+FM24FuViIiIiIjIBxacNMRqDavKPyIiIiIi3WDBSSPKqqpx5dtrMPXHZLWDQkRERERELlhw0ojlh3KQfq4cv+w+q3ZQiIiIiIjIBQtOFHIuTPNCFLbCbMwfUgDjFBERC05ERCGjdhSjqqoqlUNCoaY2TplMJpVDQkRSKiw348cd6SgsN6sdFF3gPE5ERCHCZDIhLi4Oubm5iImJQYMGDWBgFSx5YLVaUVVVhYqKCq/DkVutVuTm5iI2NhYREcw2EIWSKQt3Y8PxPPx9IBNfTRqkdnA0jykghRy2KKFw1rJlSxw7dgzR0dHIy8tTOzikYTabDeXl5ahXr57PArbRaESHDh1YECcKMRuO17wn1hzNVTkk+sCCExFRCDEYDCguLsYVV1yhdlBI48xmM9avX48RI0b4nKwyKiqKEyoTUdhjwYmIKASZTCZdzdxOyjOZTKiurkZMTAzjChGRCPx8RERERERE5AMLTkRERERERD6w4EREREREROQDC05EFDSLlUMZEhERUWhTveA0d+5cJCQkICYmBoMHD8b27du9bl9QUICHHnoIrVu3RnR0NC6++GIkJSUpFFoicvXtllT0nL4UO1PPqR0UTfp51xlc885anMorVTsoREREFARVC06LFy/G1KlTMWPGDOzevRt9+/bF2LFjkZOTI7h9VVUVRo8ejdTUVCxZsgRHjx7F559/jrZt2yocculx7iHSqxd/P4jKaiseW5ysdlA06Ymf9uJEbime/Xmf2kEhIiKiIKg6HPm7776LyZMnY9KkSQCAefPm4a+//sL8+fPx7LPPum0/f/58nDt3Dps3b7YPnZqQkKBkkEkHOD8jaVFFtVXtIBAREVEQVCs4VVVVYdeuXZg2bZp9mdFoxKhRo7BlyxbBff744w8MGTIEDz30EH7//Xe0aNECd955J5555hmYTCbBfSorK1FZWWn/u6ioCEDNxH9ms1nCXxSY2jBYLBa3ZUDNzO4AOFu7H6otFk3cWynV/h5N/y6bTdvhU5nNZlXk+ugirpAmMK6QGIwn4SPYe6zXuOJPeFUrOOXl5cFisSA+Pt5peXx8PI4cOSK4z8mTJ7F69WrcddddSEpKQkpKCh588EGYzWbMmDFDcJ/Zs2fjpZdeclu+fPlyxMbGBv9DJHLg4AEANYW/2j5bVhvwzn4TGkba8N8e/FrtW0103rlzJypOhGbbxxUrVqgdBAE1172svJz9DQXVXJ/CgkJFr4824wppEeMKicF4EqrqigJSvaP0FlfKyspEb6tqUz1/Wa1WtGzZEp999hlMJhMGDBiAs2fP4q233vJYcJo2bRqmTp1q/7uoqAjt27fHmDFjEBcXp1TQPTKbzVixYgV6XdILSDkMAEhMTAQAHM4sxpmtWwAYkJg4TsVQ6sOjW5YDAAYOHIiru7VQOTTSqo0no0ePtjdT1Yra6x5brx4SE0eoHBrtqb0+jRo3QmLi5bKfT8txhbSFcYXEYDwJbbXvKKAu/xkovcaV2tZoYqhWcGrevDlMJhOys7OdlmdnZ6NVq1aC+7Ru3RqRkZFOzfJ69OiBrKwsVFVVISoqym2f6OhoREdHuy2PjIzU1E11/E214YqIiHBbRr5FmEwhe720Fm+dGAzaDZsGGAxGRa+PpuMKaQrjConBeBL6pLq/eosr/oRVtVH1oqKiMGDAAKxatcq+zGq1YtWqVRgyZIjgPkOHDkVKSgqs1rpma8eOHUPr1q0FC016wi5MRERERETapepw5FOnTsXnn3+Or7/+GocPH8YDDzyA0tJS+yh7EydOdBo84oEHHsC5c+fw6KOP4tixY/jrr7/w2muv4aGHHlLrJxARERERURhQtY/ThAkTkJubi+nTpyMrKwv9+vXD0qVL7QNGpKWlwWisK9u1b98ey5Ytw+OPP44+ffqgbdu2ePTRR/HMM8+o9RNkxVqowHBOLCIiIiKSmuqDQ0yZMgVTpkwRXLd27Vq3ZUOGDMHWrVtlDhUREREREVEdVZvqERERERER6QELThrGpnpERERERNrAgpNGsF+OdFjgVAfjMBEREYUyFpx0wsZcKRERERGRalhwIiIiIiIi8oEFJw0zgG3OiIiIiIi0gAUnnRDTUs9qteGuL7bisUV75A8QEREREVEYYcFJhyxWG86XVrktP5JVjE0p+fgtOUOFUBERERERhS4WnDTM0+hwt87bjP4vr8Dx7GKn5VYOIEGkXXw+iYiIdI0FJx3ak1YAAPhlz1l1A0JEREREFCZYcNIJfqsmIiIiIlIPC04axjH1iIiIiIi0gQUnIiKZcOJqIiKi0MGCk06EawbMYg3P302h4cPVKWoHgYiIiCTCghNp1rM/78OlL69Afkml2kEhCsi7K46pHQQiIiKSCAtOGuZpOPJwsWhHOgrLzVi0I13toBARERFRmGPBSSeEGqyFaes9IiIiIiLFseBERERERETkAwtOmhbmbfWIiIiIiDSCBSedYLM8IiIiIiL1sOCkaSwtERERERFpAQtOREREREREPrDgpGnh28eptLJa7SAQEREREdmx4KQTNoFme0LLQsVdX2xTOwhERERERHYsOJEmJacXqB0EIiIiIiI7Fpw0zBC+LfWIiIiIiDSFBSeN8NXsTmg4ckMY94HyhgVOIiLfbDYbduQacDizWO2gEBHpAgtOIYRzPRFpFx9P0poNKfn4LsWEf3y8Re2gEBHpQoTaAQhnRRVmfLLmOBqVAU0E1rPihPTExpK7X8wWKwAg0sTvV6QO1jQREfmHBScVvfLnIfy48wyACLzRWe3QEJFSLFYbLn9tFQwGA7Y9dw1MRn4mISIi0jp+6lTR3vRC0du++tdht2WhMhx5ZbVF0uOx4oO0Lr+kEvmlVcgrqURRuVnt4FAIK62sxtIDWSivkjadJSIKRyw4aYSvgR6+3XpaoZAoKyWnBN1eWIpnf96ndlCINMNms6Gq2qp2MCgEPPzDHvz3u114/tf9ageFiEj3WHDSMEMYDA/3ydoTAIBFO9JVDgmRdvzry23oPXMZClkbRUFafSQHAPDLnrMqh4SISP9YcCIiWZw5X4YbPtyI35hh89umlHxUVlux5kKml4iIiNTHghOpymJlc6RQNf33g9h/thCPLU5WOyhEREREQWPBScN8NdSrNOu/0PFbcobaQSCJuDYtLamoVikkFIz8kkpYrBxhhYiIyBULTjoy9cdkpJ8rs/+9YHOqeoEhopBz4GwhBryyEnd+vlXtoBAREWkO53HSkV92n8Wx7PCbsNDfMTLCYEwNIln8sD0NALDt1DmVQ0JERKQ9rHHSMKECwLHsEuUDojLHeZlsnKSJwkiozNVG2sT0lIjIPyw4aQQzSL6lnyvDZa+uxIerjqsdFKKQlFVYoXYQiIiINIsFJ1LMu8uPYuG2NL/3W34oGwDw1rKjyCupwjsrjkkdNJIAv17rX1EF540iIiLyhH2cSBEHMwrxweoUAMCdgzv4te/e9AIAYJ0ckcwMPsfyJL04mlWMA2cL1Q4GEVFIYcFJw0IpE1NUzqGpiYiUMnbOerWDQEQUcjTRVG/u3LlISEhATEwMBg8ejO3bt3vcdsGCBTAYDE7/xcTEKBhaIiJlsPUjyYnRi4h8yS2uxOoj2bByfj8AGig4LV68GFOnTsWMGTOwe/du9O3bF2PHjkVOTo7HfeLi4pCZmWn/7/Tp0wqGmIjIf6FTf0xEROHimnfW4v8W7MSPO9PVDoomqF5wevfddzF58mRMmjQJPXv2xLx58xAbG4v58+d73MdgMKBVq1b2/+Lj4xUMsXKEhiOvqrYGdCybzYa1R3OQUVAeZKjUseF4ruht+ZWetMgpWrIURUREOlBUUdPVYvURzxUa4UTVPk5VVVXYtWsXpk2bZl9mNBoxatQobNmyxeN+JSUl6NixI6xWKy699FK89tpruOSSSwS3raysRGVlpf3voqIiAIDZbIbZrO4IUo6jkFksFvu/a8NVJSJ8jr+hurpacDkArDmai/98twcAcPzlMYEFOAgWi+ew+VoOAP/+cjuu691K1LbVFovq91Zqtb9Hy7/LBufwWW11hXwth1spNpvNfh2qzXXPQ5XZDLNZuCRlCSAuBxNXHKdF4D0LPa73VOi9Q+RKD+8fkoa3e+z4DvO1v97iij/hVbXglJeXB4vF4lZjFB8fjyNHjgju061bN8yfPx99+vRBYWEh3n77bVxxxRU4ePAg2rVr57b97Nmz8dJLL7ktX758OWJjY6X5IQEqLjah9tPzwQMHAZgAAElJSQCAvArA1y2q3RYA0krqtndcDgC/pxpRW8Houk4JxwsNcP19Nep+n6fltTIzMuD9N9Tss3PnTlScCM1qpxUrVqgdBAE11728vNzpvpw7Vxe/1Yhz2lAXjwsKCu3Xoaiqbt3KlSvRIFJ4v7179yIqIzmgMwcSV87l856FDvc01PWeHk2vS5f/+itJsJUDUS1tvn8oeJ7yYc7rs7KyRL8X9BZXysrKRG+ru1H1hgwZgiFDhtj/vuKKK9CjRw98+umnePnll922nzZtGqZOnWr/u6ioCO3bt8eYMWMQFxenSJg9mXtiMzLLSwAAl/S6BDhRU1hMTEwEAKSdK8PLezZ6PUbttgCw/2wh3tm/zW05AOxbehTIPC24TgnbTp3DR4d2up3/0S3L7f/2tLxW6zZtgPwst21d9+nT71KMuyS0mm+azWasWLECo0ePRmSkWy5bVbXXvV69ekhMHGFf/m3GdpwsLgCgTpzTAsd43LhxIyQmXg6gprPti7vWAQBGjRqFpvWjBPfr27cvEvu18eucwcSV7zJ34ETxeQDhe89ChVAa6npPV/y4FzhTM0/euGuvhcnIkhO50/L7h4LnKR/mur5Vq1ZITOzn9Vh6jSu1rdHEULXg1Lx5c5hMJmRnZzstz87ORqtWrTzs5SwyMhL9+/dHSkqK4Pro6GhER0cL7qf2TTU4fN6LMNXditpwRYkIn+NviIhwP0Ytk8nkcZ0STAK/z5WvcBmNdV3yvG37zC8HcEM/99rHUKCFeOuJAc73xTF+azXMSjIYDPbrEBFZ10TK2z01Gk0BX7tA4grvWWhzvadGg3OayoITeaPl9w9Jw9v9dXyHiTmOnuKKP2FVdXCIqKgoDBgwAKtWrbIvs1qtWLVqlVOtkjcWiwX79+9H69at5QqmaioDHAgi3JVVWXxvRERumG0mIiLyTPVR9aZOnYrPP/8cX3/9NQ4fPowHHngApaWlmDRpEgBg4sSJToNHzJo1C8uXL8fJkyexe/du/Otf/8Lp06dx3333qfUTJGFzmVEjJacEo95dp1Jo1JHw7F84mlWMymrhgs+2k/kKh4govIRmz0AiIiJpqN7HacKECcjNzcX06dORlZWFfv36YenSpfYBI9LS0pyaaJ0/fx6TJ09GVlYWmjRpggEDBmDz5s3o2bOnWj9BFh+vFW56GCi9fEn2Ntt9TnGlx3VEoUjpzvpHs4qVPSEREdmdL61C49hIp2bTpC2qF5wAYMqUKZgyZYrgurVr1zr9/d577+G9995TIFRE5I+MwgoUVZgRF6Ofds3hKKeoAmcKynFphyZu6wrL9TWELAXHtaUDEannj70ZeOSHPfjPiE54LrGH2sEhD1RvqkfhQeoX9Jj31iG7qELSY1LwXv7fIbWDEFLkmMx50GurcPPHm5GcXiD9wYmIKCAv/1nz/vxs/UmVQ0LesOCkQSk5bC7jy7HsEry59KjawSAXe0I4M26z2VBQVqV2MCSz/ZT3PoM2OUptpKoqDjhERBQUFpw0KL8kdDJncqqyMBNAynnix73oN2sFNqXkqR0UIq8OZhQKLv89+azCISGiUMFPaTVYcAohXj8Qs58hUVB+2VOT6Zy7RtqBW4ik9u2W04LLy82cqoGIKBgsOGlUpZm1KaRvbOklDr9pkFqsfEaJSCS+q2qw4KRBldVW/LU/U+1gAACWHczCXV9s1eRADOyDQaSs0/mlsDC3HTI2pXBuPCIif7DgpEGp+aVqB8Hu/m93YVNKPmb8flDtoJAO8IuUOAaRV0pLRZSfd53BlW+txUPf71Y7KCSR0qpqtYNARBfwW7A+sOAUQiplHDHpfAiNJkYUjHB9uc1bdwIAsPRglsohITmwBp+IyDcWnELE0gOZuO3TLR7Xi/3CTSQVZsPECeQ62Ww25JdUBnVeX2kC89GhZ8sJ56Z5BgPfC0QkDgeXqcGCk0Y4ZlICeZU9uihZqqDoBvN12sN8mDJm/HEQA15ZiT/3ZSh2Tt5b/fv7AGsLici7wnIzZv5x0G2S9A3HORUHwIITESlg2i/71Q6C6qSswfnmwnDTSk4CzVpr/RAb19g8j4hcvfbXYSzYnIrxczepHRRNYsGJiCTjKXP9w/Y0hUMiH5uCdZ3M2BIRkZKO5RSrHQRNY8GJiCgM+dv0jk31iIgo3LHgpBFyZ0pCMtPDj/GkU1LVWilZ+0VERHJieq4HLDiRMpgeEBEREZGOseAUJthVgkga4foscehqIiIKdxFqB4AEMINCOsWo693mlDwUlJsxMKGJJMdTshDHWxt6wvUjABFRoFjjRKJoMUPM/h2+fbHhJN5cekRw3R97M3D3/O0oKKuS5dwcEc7dnV9sw4Pf78aZ8+WSHE+q4wjh3SMiInLGgpMGBVJG8ZXJ0WLBh+T3yl+H8fHaEziRW+K27pEf9mDdsVy8t+KYCiELb3nFlWoHwW9MQ4iIKNyx4EQBsdlsOJxZBLPFqnZQSITyKovHdQXlZgVDon/hWhPDghMREYU7Fpw06IXfDqgdBJ8WbE7Fte9vwAPf7VY7KES6sye9QO0gEDkJ1w8CRET+YMFJI/TWHeSLDacAACsPZ6sWBr1ds3DAkdfEceybVFntuTZQSwwcHoKIiMIcC05EYU7KAujhzCJUmPVRENCKIbNX453lRwXXyfltwN9Crlxl4pyiCjz78z4cOFsozwmIiIgkwoJTmOC3YlLKvHUn1A6CvGQozXy4OkX6g/qglTThiZ/2YtGOdFz/4Ua1gxJ2WEFMRK6YLHjHghMRSSo1r1TtIJAM5HqZHssulunIRERE0mLBiXSLfZyIFCRT9UR2kf6GZiciovDEghNRmGP5UxvYN4yUxo9PRET+YcGJROGIWkQ1bBIUNYWepnc1PhExUwD9kCKOElFos1rd0wkbv6b4xIJTqHCJ664PhNqdgPkokhbYbDacL61SOxiCPlt/0n2iYg09OGqnISSNzSl59n9rKHoRhT0lyyzTftmPIa+vQmG52Wl5ZmGFcoHQKRacQtSS3WdkPb4WMlH8qqptWrw7M/44iP4vr8Dyg1mKn1tMfD2YodyQ3Fp4hkl5b3kY+p6IwscP29OQXVSJJbuc84pWH6W3PWnn5QyWLrDgpBFSZ2IOZxZJe0AKWVJXzWt5EtxvtpwGALy1jJlHf2n3rhIRkRI+WHVc7SCojgUnIiI/6KEJ+O48A57+5QCqqq2SHVPLBWIKDPszEJE/XJv2haMItQNARETS+vq4CUAG+ndogolDEgI6Rk2muq6wxGITEVF4251WoHYQVMcapzDhbVQ8m82GJ37cixm/HxB/PA3kovixlPRK7PMTbD++/JLAB8Lg4xVeOHE1EZ3OL2PhyAcWnDTCbTStIPlTqDhzvhw/7z6Dr7echtkiXdOeQMNDygrm1nDuIf3SwLcPUplj88stJ/NVDAkRacFdX2xz+junmKPsuWLBSSNm/nlE0uP5UxCrFhjLn0iMhdvSBJd/t/U09vCrlUd6LLRooZaZ5CP1xzsi8o8Wc2Iv/Cq+JVK4YB+nEGCz2VDlUlNUUlUd4LGkCBFpjVz3taTSPZ6l5JTg1z1n5TmhBgR6Kc+X+t+pVs6JpznYAznazWGGicjF2YJytYOgOaxxCgGLdqQHtb+Y7JNrHkvODJ1YLONpU15JpdpB8EmNuKP3F5AWnnl/HDhbiKIKjgBFRETSYcEpBEz7Zb9kx+KkshSscvZ78kmXtT06CvKG47m4/sONGPXOOrWDojm5xdr/sEFEymA/Zf+x4EQUBrzm0yUuKxeU8Su/VPghIzB/H8gCAOSwkODmzHl913wSkXQ4Gbz/WHAiUZ2+k9MLZA8HkR6E66ShOqpwIpHCNS4TaRHTWH1gwYmceHqPlrmMuORvSyM5vpzznS8er5W2KPWCPJ5TLNmx9Ni6kIiIpBXuH1xYcCLJO32bLVZFHqxwf3hJv5SKuUn7sxQ6E+kRU1Ai7dDL87jqcI7aQVCVJgpOc+fORUJCAmJiYjB48GBs375d1H6LFi2CwWDA+PHj5Q1gCFDqa3FucSV6zViGRxclK3NCChr70YQnf9MEvY2qF874TYmI5HIit0TtIKhK9YLT4sWLMXXqVMyYMQO7d+9G3759MXbsWOTkeC/Rpqam4sknn8Tw4cMVCimJ8ePOdFRWW/HH3gy1gxL2WCMnDymuqqciiOuxtXQL9dRUT0vXTS8CKRibXeYPJKLQoqd0XymqF5zeffddTJ48GZMmTULPnj0xb948xMbGYv78+R73sVgsuOuuu/DSSy+hU6dOCoZWR/zIODg+GGIzHFp4lpg3IgqcFp5h0g6rn6XNLzacRNfn/8bG43kyhYiISHsi1Dx5VVUVdu3ahWnTptmXGY1GjBo1Clu2bPG436xZs9CyZUvce++92LBhg9dzVFZWorKybkjaoqIiAIDZbIbZrO6wyVLUCHj6DVar1WmdxeHLoOs+5mqz07oIg/BXRMf9HIPuuNxqsQgur64WXh4Mx99YWO7ym1S+t1Kr/T3+/C7H+FVdXe0lrtgCvl4Wi/g5ILR0T2y2wH9zMPvWslqFnzHX+2SxWHyey+159vG32GObzWbA6vBtzSE+yXUvpUwbpD6mnlht3muC7NfEIR1ffijbr2v1yl+HAQBP/pSMDU9d6XcYST8Cef+Q/2wKpLH+EsqnWqye3x16jSv+hFfVglNeXh4sFgvi4+OdlsfHx+PIkSOC+2zcuBFffvklkpOTRZ1j9uzZeOmll9yWL1++HLGxsX6HWUrFxSYE+903KSkJQrcxKysTSUln7X+npBlRW8FYs0+d/ArYj7Fs2TJEmRzX1h3bcb/SsrqwOy4/etYAwOS2/EiB8PJgomBOTo79WDnlnsMaSlasWCF625r0ruaabNq0EWkNXLeoWZeZ6RxX/HH8TN199UUb96TmN5eUlAQQnpp9C84X+LGvcPw+m3EWQhX+W7ZsQc7Buv3279+PBjn7vB5XOCze1tesO3DwIJLyD3jcb+nfS2FyCGJevuc0JDjSP7fpXtK7cHAmve73C6m7Js7vIP+uVc19q6ioCMtrHI78ef+Q/6qqhPNV8hCX9yosLIJrPvXI4SNIKjrsdT+9xZWysjLR26pacPJXcXEx/v3vf+Pzzz9H8+bNRe0zbdo0TJ061f53UVER2rdvjzFjxiAuLk6uoIoy98RmZJYH18kuMTERj25Z7ra8devWSEzsa//72KoULD970r6PozPnyzFrT03N3ZixYxAbVRctHI/tuN+7Rzcir6LMbXn6+lP4M+242/K4lHx8cniX23KhsIsVH98SiYmXAgBS80vxavImwbCGArPZjBUrVmD06NGIjIx0Wvdbcga+2nwaH9/ZD20b17Mvt9lseGxrTeI1dOgw9GrrHN9rr32rVq2QmNgvoHCdWHMCSD8halst3JPa39ygQQMkJg4NaN9GjRsjMXGwX/u4ate2LXbkZrotHzJkCAZ2bGLfr3fv3kgc2M7rcV2vq9lsBras8bi+dt9el1yCxMEdPB537LhxiIqoy3wvztmJY4XnBI8ZDG+/JVCbfz8E5JyR9JhS+Gt/Fj5dfwof3t4XHZvJ9+Fu/a8HsC3Xcz/T2mvymEv89Oda1d63mJgYJCayximUeXv/kHRm7l2D0gstgOROt8TmvRo1isOZUudpLbr36I7EYRcJbq/XuFLbGk0MVQtOzZs3h8lkQnZ2ttPy7OxstGrVym37EydOIDU1FTfccIN9WW2TjIiICBw9ehSdO3d22ic6OhrR0dFux4qMjFT9phok6HXn6TcYjEandSZjXQbIdZ/ISLPTushI4WjhuJ/RaBBcbjKZBJdHRAgvD4bBUPcbIyJcf5N+Hlh/CMXbp36uqTV4JekYvrh7oH25YxV7RESEx2tidIkr/jAZxdU2Adq6JwaDIeDwBLOv/RhG4doAo9Hk9jz5Oleg630dOzIyEpEOBSdvaYhUpDquUYGwBuKxH2tqD5/77RB+/O8Q2c5jNHjvvmy/JgY4NdcL5FpJ8TyQPmgh3xQutHKdhfKpru8pIXqLK/6EVdXBIaKiojBgwACsWrXKvsxqtWLVqlUYMsT9pdK9e3fs378fycnJ9v/+8Y9/4KqrrkJycjLat2+vZPC1LcDuUxyNSr/Kqqqd/na8l96GHOeoOSrwcDsmzt8uZjNp8MarpqSy2vdGRESkOao31Zs6dSruvvtuDBw4EIMGDcKcOXNQWlqKSZMmAQAmTpyItm3bYvbs2YiJiUGvXr2c9m/cuDEAuC0neXGoa+0J9JaE463UavytrObwztLQ5v3VGo0+BkSkYeH+yU31gtOECROQm5uL6dOnIysrC/369cPSpUvtA0akpaU5NbsgZxVm8aOaeeJYFRvse5QfsbWJk5dKR8m8ZmZhhYJn806KpsVERFpSXGHG5G924vo+bfCvyzuqHRzNYd7BneoFJwCYMmUKpkyZIrhu7dq1XvddsGCB9AHSkTkrj6tyXmaiyF9ZhRVIySnBsK7iBnYJaSIfn2w5C05+VjeE0xNfUFaFPekFGNG1BUzG0PvlWYUV+HFnutrBIFLd5+tPYuvJc9h68hwLTiQKq3J0bs2RHFHb7Uo773GdlNkCJbMYm09w4kVH3voxacHls1fhX19uw9qj4uIsyWv5oWzfG4Wpmz7ejElf7cD8jafUDoos7vpiK95dcUztYBCprqQy+FY7ocxsYfNxVyw4hYlKs7jIL1ffDzkOWyHyN5H3QpXS/Ry2nMxX9oQkaMNx7x8eXONMOFUyn8orBQD8ud99yHgpqH0tT+SWqhsAItKFI1nFvjcKMyw4UUgIozydR+zorZAwvdCOz9jpfGa8iYikpJc3i17CKRcWnMjp66fYB8JTQUXtL6lUJ9wTt1Cg1eaXWzVeaximZVsi8hPzLOQvFpzChNqJQ35ppboBCAPMK4rn6VoVlpmRmqed2pQfd55R9HxRprpXQmpemdM6PQ0Iw4ITERHJgQWnMOEtIyHlcJOejiXUnyK/hIUpLdBqrYYa+s5ajpFvr5W9KZpWh3ht0TDa/u9zpVVO67QZYhLCJ5qISB4sOOmc2Eyv2Bep6C+1EuSiPl1/MviDeHG+tArrj+XCamU2QlM0cDt8Rd8dqZ5HoZQi+NtTtdnUbViXuqHirV4SA60W/IiI9EovqapewikXFpxCVFaRdibO9KTaIm8O+voPN2Li/O34YUearOfRDA0USEic9HPlagdBkGNrPG8Fp7Ah0zXQUatHopB2SkNNs/WitCq8h3BnwSlE7Trt/MVcqfe0pwyB43DoVdXKDCN+tqAmc7r0QJYi5wtHodrMT65h+fWEFbVEpLScogpF098TuSWKnUsr8oLsJlEd5nM7seAUJtT+wplbXPeglof51wq5hGohxh+V1RasPpKNsqpqtYOie15rnDReY8JngUh/vt16GoNeW4XXlx5ROyiqUCrV+mbLaYXOFJpYcCLnQpXIJ9fffNP21HN+7iHOkawi9mHywPGrnbc8sNC6H3ekY+3RHI/7nC+twuYTeZobveyl/x3C/y3YiYcX7pHtHBovMwRF7Q8sRBS8b7ek4tZPNqOw3Kx2UPwy638HAQCfrpO3/7MjLSV5BWV198ui4XyNdkOmDBacwoSWMrjfbk2V7Fjj5mzArD8PuS1PP1cmsDWJcTy7GE//vA/3fLXD4zaj31uHOz/fhv/tzVAwZL4t3FbTn23VEc+FPsB3wu9tvdyPklabCZ7mM0WkCy/+fhA7T5/HJ2tPqB0UxdhsNmQWlms2/aTQwYKTzh3L1l/73LeXH5P0eAs2p7ot26LxCTrl4G0kOH9qEnKKfbd/ziupGar6ZAAda4N9raWfK8O2EL6/Kw5lqx0EQSk5dWmNlr7S6hFHJSQllIdRk+WP157AkNmr8cGqFLWDQg6m/bIP93+7M6QKtCw4EZxb6gUXufU0SSYFZskuZSdldTX8zTWY8NlWHDhbqGo45LIrzXMBWA2bU/Lw7gppP3boRpilZ88s2ae75l16tSklD3s09qzr2VvLjgIA3lsZpmmVRv2wPR3LDmY7fXjTuwi1A0DKkPr9zwJS6PC3qPzkT3tlCYe/ktML0KttI7WDEWIMbv+684tt6gRFC0LoK6kYi3emI8JkwKs39VY7KCEtp6gCd114rlJfv07l0IQ35mX8F8gVs4RQWsoaJ3J6CoKN2/48UEyvlBNCaZbqwulahlLzCi3R8qh/6ef9m2OMybj/souCGw6aiNTDglMIqzDXDfvNNvXhJ9CsmV5iiqxZT+3ma2Xm/MPnrtFnfwGW95TDS61dvDekFTtOyTOyshpYcAphf+7LtP9b7BdOJrSkG8wdy8C52Cz1QC5UQ8sfsnKKKtQOApFitPokarm2P5CQHcosljwcamHBKYSJnd8okJe4pz3Y/E5/lE6fpXohBHUU7b6TVOX4/L7+t+dJKNkvIHQdyQqdDI5W8fEh0i8WnMKElr9wSsHbi4iZvNAkZ4HPWw2tlvunSIkZaCJSkhqVLOGRmjtjjig4LDiRU6FDy9XDpBCdpKqhGlc/XXdS7SAEpKCsCnPXpOBsgX+DC2hZaMYwIiKlhU5qyoITqeLHnelqB4FUtvVkPvafUWkuJp0UDrVK6PI9+dNevLXsKG6bt0Xx8JCzEP2mQCQ5vgrIXyw4hYkqi9X+74KyKo/biX3femr9JjYRenrJPpFbkvyUz2XlFlfi9s+24oaPNgZ8DOYNpRdMJmLD8TwAEKxxqjBbsCP1HCwi+10Gi3GDiETRaMkp1LoYhNLHnIAKTunp6Thz5oz97+3bt+Oxxx7DZ599JlnASFrV1rqCU0lltdM6tR7P0EoWtEfLCVW2BCN3qfX7tHxdlXKu1P3ji7f3/H++3YV/ztuCjxUa3lzr9yiU8kQh9FOINM1ssWLFoWycF0h/lRTuz3xABac777wTa9asAQBkZWVh9OjR2L59O55//nnMmjVL0gCSNMQODqH1DEcgwv0h95fcA4lIFcfkjKqh9BzkFFfgRG6JpMf0N+O//lguAODbraclDQcJC6WCGYUPqwoJr1YfFaE+vJ+uO4HJ3+zEzZ9sViFEdQK5S6H0Tg2o4HTgwAEMGjQIAPDjjz+iV69e2Lx5M77//nssWLBAyvCRAqSsEg616mWS370LdgS0X1CDQ4RQIu7LoFdX4Zp31omq5Qvm8Q3FkTtD7xdJL4weJcnwNSlMoZa8ulU7N+epvFJVwyH21RuqAzgFVHAym82Ijo4GAKxcuRL/+Mc/AADdu3dHZmamt10pROgpk8SXlHeuaZvSw22vOpKDCrNF0XOGo6MihhcP5rnmc0ZEFPoCSetD6f0QUMHpkksuwbx587BhwwasWLEC48aNAwBkZGSgWbNmkgaQAncwo9DvDGmwmWZ/Ho4vNp4K6lyhqNphEI9Q5lpY01qi6u0pCNGPaCSAt5rkJudXeaZVRNILqOD0xhtv4NNPP8XIkSNxxx13oG/fvgCAP/74w96Ej9T39ZbTuP2zrbIcW+uTgGosHy7Kd1tPo/uLS7E5JU/R87oWWvRSm6i1TMG+MwV4+Ic9OHO+TO2gyE7o2qsRaz5ddwL3f7vT7YMD06fg+JOZV6Nfit7pJY0NB+xeoIxQSiYiAtlp5MiRyMvLQ1FREZo0aWJf/p///AexsbGSBY6Cl5xe4N8OIiO31tsiOwZPL8niC78dAAA8/MMe7HpxdNDHc8w8avx2BURrmeN/fLQJAJB2rgy/PzRU5dDISyivoUYGZPbfRwAAyw9lI7F3a8XPr1VKZlKyiyqVO5nOWK02GAzMnJP/zpeZ0aJhtNrBkIzW3tfBCKjGqby8HJWVlfZC0+nTpzFnzhwcPXoULVu2lDSAJA2pI21KjvAoXeoNbc4XkzfLD2apHQQ7qWKiVr9gnZJ4BDvyLbMw+OHtiaRksdow+r11uOnjzV5r8LSajoULrQ5gsCftvNsyFsC1IaCC04033ohvvvkGAFBQUIDBgwfjnXfewfjx4/HJJ59IGkBSljaTEH35Pfksbv54EzIL3ScCVUvaOc/NxzT63vBJrWDr9HLJTs1XuhTzgqnNYrVh5aFs5JWwBicUnMorxYncUiSnF7hN/Mz8L5F+BVRw2r17N4YPHw4AWLJkCeLj43H69Gl88803+OCDDyQNIOkM3wh4dFEydqcVYNb/DgW0vxyX0J8vVUrcQl81oJXVFizcloZ0LwU+8o/s91XE8Zk8ePb15lTc981OJL6/Qe2gkMyU+ljF5803rdbiyBlF1BjOXK8faIUE1MeprKwMDRs2BAAsX74cN998M4xGIy6//HKcPs0JDrVOqwlFMLT4k0oqq9UOgp235gh7zxQqGJIavhLRT9edxLsrjsFgAE7Nvi6gY3hz0seLIzVf3Xky1KLF5yhcLLvQnDanmDVOJI1QyqySdM0KD2Yo/84PJQHVOHXp0gW//fYb0tPTsWzZMowZMwYAkJOTg7i4OEkDSMoKxYQ2FAuK/vJ2W7XYNGjziZqRBb3FRzk7m3667qRsx9ayYJ4UTT1lEkUN2dJDmdMkJnna5nh/QvCVSwFYdyxX7SCQSAEVnKZPn44nn3wSCQkJGDRoEIYMGQKgpvapf//+kgaQ9IXvaynwKoqhViH/cGaROifWEH6MCFIofqEi0iGtpGR3z9+udhBkFUopXkBN9W699VYMGzYMmZmZ9jmcAOCaa67BTTfdJFngSBlaHVUmGFpJDNXkdFs1dItDIboVV5jRMCZS7WDojlKjX1ZU+zfxtz8sVht+2X0GAxOa4qLm9SU7bgg8FuSEd1QP9PQNiB+stCGgGicAaNWqFfr374+MjAycOXMGADBo0CB0795dssCR/vC59i4lpwTj5qxH0v5Mj9vIcQ39adamxC30FRoxGWw1C/xWq+9two2aL3XXMyftl2b4faGf9OPOdDy1ZB+uenutJOew01A++3BmsdpBCCmuz4ZTU71Q+JJEFEYCKjhZrVbMmjULjRo1QseOHdGxY0c0btwYL7/8MqzMUWiS2vMctWkUo+j5tPoqeuKnvTiSVYwHv9/tcRuWPUkOcqcBYspNZVXaGTAlUDtSz6kdBJ+CzYuvOZojTUCIKOSITV9C9ZtAQE31nn/+eXz55Zd4/fXXMXToUADAxo0bMXPmTFRUVODVV1+VNJAUPLVrghrFRiFDxkkq1f59QoS+wJdUmH3uV211T232ny3EklNGXFFmRotGoddELJAENlQTZT0Q+kou5hEsqtB/wUkSAmmDnIOdUHhinPJN7Y/KnoTa+y2Ufk9ABaevv/4aX3zxBf7xj3/Yl/Xp0wdt27bFgw8+yIKTxnmdxTzIhNZTIqRmcwQtJYuemjPlOgxBfK60ym39zfO2ATDipT8P46O7BsgVPF0JoXSYNErJZKuqmq01woXjezIU0zGbzYb7v92FRvUi8dY/+/reQUXl5rr+kFarDUajlnIM8gi2WbUWP1QrKaCmeufOnRPsy9S9e3ecO6f9ZgzhKJRK+6GmrKoal726UtS2KTklAZ1Da/ffV0FaTMKstd9US6PBkpTQi5cdl4OjxnxqJB+tpk9KOJVXiuWHsvHTrjOa78OVU1zXEsbMriaiBNRCJITejAEVnPr27YuPPvrIbflHH32EPn36BB0okpecGRy18k56ybQJhTKjoFz282rp3WWTKAlVMyEOpZdAIF7565BbhkgfTyCRMhyfDrUmQ5ezGVpVtRWFZcJNzy0Ozc318m4mEiuggtObb76J+fPno2fPnrj33ntx7733omfPnliwYAHefvttv483d+5cJCQkICYmBoMHD8b27Z7Hs//ll18wcOBANG7cGPXr10e/fv3w7bffBvIzSIBcGWw1M+6qFeZkOGaglzEUM/paKgzqgZTPgc0GrD0anhM2arVPBGmL1SGByi127t/rPKqeUiGS1qh316HvrOVONTZiVFZbcCqvVKZQBUdb90JTgQleCP2cgApOV155JY4dO4abbroJBQUFKCgowM0334yDBw/6XYhZvHgxpk6dihkzZmD37t3o27cvxo4di5wc4VF9mjZtiueffx5btmzBvn37MGnSJEyaNAnLli0L5KeEjXD76KPVnxtu9yFQWr9OzDwD211Gl1P1nvF2kIaplSH39MHMarXhSFYRrAIDEYmVdq4MALDxeJ5f+/1z3hZc9fZarDvm/4eX8ioL3l95HIcyOAk5qSfgeZzatGmDV199FT///DN+/vlnvPLKKzh//jy+/PJLv47z7rvvYvLkyZg0aRJ69uyJefPmITY2FvPnzxfcfuTIkbjpppvQo0cPdO7cGY8++ij69OmDjRs3BvpTSAFK13j85TRPknZyVWpluCv96HjOphXBMQBI2p+JA2dDu8/KJ2tPuCzRV7w5mVuClBx15iuS+0qp+QiXV1nw/K/7seF4eNZI1tLyx5XXkg5j3JwNmP33YcXPve9CX74lu874ve8Hq4/jvZXHkPjBBqmDRX4I9yxCQKPqSaWqqgq7du3CtGnT7MuMRiNGjRqFLVu2+NzfZrNh9erVOHr0KN544w3BbSorK1FZWTdiWVFRzZcKs9kMs9n30NByUqrTpNlsdjpXtdkMs7nu1purq522dVznehxfyy0Wi+ByuUeMqnYJm2MzIpvNqs69ttnczut4H2rXmc3u7d89hdcqcExP+5kdRgtaezRX9H7VLvFBalar1ekcwIU4ibo4YrO6XydXFotF9G+Ser252gxPq4sqqr3O0+Uvf8Ppafvq6mq3dc/+vBezbuhhLyz7Ow+f8/F837Ng1nljs3p+xoWWmy1WXP3OOgDAvhevQb0ok/BxBZ43q63uGgUcXj+e40BYguzkXl3t/dly5bjtx2tS8P22NHy/LQ3HXx4TVDj0rLraMS12fvaqzc5prMEW8Ddsr6wenosvNp4CAHy+4RSeHtPV53Hq3lXuxxJKh13zFIJhs3h/Lwut23+mwOdxfa1z5VgGcH0Pqcks9AwK5B8CEmTe09u71zGuONZoeoqLWuFP2FQtOOXl5cFisSA+Pt5peXx8PI4cOeJxv8LCQrRt2xaVlZUwmUz4+OOPMXr0aMFtZ8+ejZdeeslt+fLlyxEbGxvcDwhScbEJSnylTUpKQkFB3blWr1mDptF160vMQG1UcF3nGEWSkpJ8Lj+QbQBgcluemi9vVFu9Zg08Refs7GyXsMutJhy5uTlu53W857Xrssrq9qnlHt6a9SXFJR7Xue5XZfG8ztt+J4rq1glft+DuZeqpVGwuPul0nKXLliHSIe+Ql29EbYW4p3AfT0lBUuUxj2HzFXb/19etW7FiBWLdLoM8cTzY31Fr2/btKDhqc1q3aMcZdKxMRZv6NX+nnq677v6GrarSPW6LC6+v3+JNzb4nTpxEUlKK6GOWV9dt8+tfy9A42nWLmnUFhYVu+5894y1uigtvQUGBxNfBmWMYA3Hs2FEklXl+B9cQDu/WlGCuT+jIcEjX121Yj+MO2Q3HNH/p0qWIkLzcVHPs06fTkJSU6nE94N89WrFihdsxkvfuRVRGstN2jr/PUzzPyMxAUpJrrZP3cOXl+n4veNrXE4ulLt1yfQ8pyznN3r17N6ynnQs4RUXe0ljxSkqCy3u6p7fuVqxYgZpyU83vOnP2LJKS0gM+p9zKyspEb6tqwSlQDRs2RHJyMkpKSrBq1SpMnToVnTp1wsiRI922nTZtGqZOnWr/u6ioCO3bt8eYMWMQFxenYKjdzT2xGZnlgQ0v7Y/ExER8kbYV6aU1tW1XX3UV2jSuZ1+fX1qF53euFVz36JblTsfxtbx45xng5CGv28vhmquvxku71wuui4+PR2Jif1nP76j2t7Zo2RKJiZc6rXO857XXJyWnBLP3bnbazvHaOR6zQcMGSEwcKrjOdb8KswVPbV/l85iu63aknscHB3cAAP4saIOP7+zncb9AJFyUgCt6tcKcA3WDwIwbOxbRkXVf/Rfn7MSxwnNew921SxckXtPFY9hc9wt2veO6UaNGo3FspMf1UvI3nGazGdiyxm2fywcPwpBOzdzCOfiKoejdthEAYOdfR7AhKy2gsL2yfy1grhIMk9jrKvRbPbHZbHh0S01GrlOnTkgce7HoYxZXmPHsjpprdPU1V6NVXIxgmBo1ikNi4hCndet+OYDtuRl+h9fxuI0bN0Zi4mDBdYEc19XaXw4AF8IYiIsv7obEkZ28buMpvGt/3o8duZluy8PNsexivLG3puXMiOHDcXF8Q/u64w5p/thx4xAtccmp9t507NgBiYk9Pa4HxN0js9mMFStWYPTo0YiMjHQ6Rt8+fZHYv43T9o6/z9Pz3qpVayQm9hVc5ylcP+XuAgrzvR5X7G+q9dyuVaiq+cro9h4CgIMZRWgcG4m2DvkiObimyznRbZGY6DxK9bxTW3C2rKZ5cTDP1gcpm4DywAfo6Ny5ExLHXCy4zjGumEwReHxrTRrdtm1bJCb2DviccqttjSaGXwWnm2++2ev6goICfw6H5s2bw2QyITs722l5dnY2WrVq5XE/o9GILl1qMkz9+vXD4cOHMXv2bMGCU3R0NKKj3T4nIjIy0p4AqEWpviSRkZEwOpwrwuW3R0bUVU2bIiI8Xhcxy00mk+ByuUVEeI7KBoNRlXttNBjczus4uV7tOqGweQuv2HXVLs0/xO4XGelQs3I4BwajCREm6V7sBoMRJpf7FRkViciIurhjNNSdz1O4jUbv99XXPQ9mfWSk5+dEasH+jloRHp5tx+Umo3/32el4Bve47XMfP9a5cmz2ajR5jguCv9ni8G8vaZ5B8Bn2HTd9ETquo2DjluPzEwiTl+spxHFbgwTXJxRERDi8F13iWKRD+hcZGeGU9knJVxpZc37/7rPr9iaTyW2Z8++TLv02SJDGeDtmTd6o7l6knyvD+E+2AgBSX79O9DGl8Nf+LMx1mexe7O8Xcjy7GMWV1bi0Q5Og856fbUjFc9dd4nWbyMhImEx18cAkIi6qyZ+w+ZW6NmrUyOt/HTt2xMSJE0UfLyoqCgMGDMCqVXVfxa1WK1atWoUhQ4Z42dOZ1Wp16sdE4cfbXEjh3pExWEoU8D9c5b3an7Qpr6Qu3c0tVi8N9rcjvtit5ergH8ppkpYHRVCLty4lcnZ11tbw2s70MEXG0Sx1Bo+Rw+j31uPmjzcju8i/4ePJnV81Tl999ZXkAZg6dSruvvtuDBw4EIMGDcKcOXNQWlqKSZMmAQAmTpyItm3bYvbs2QBq+iwNHDgQnTt3RmVlJZKSkvDtt9/ik08+kTxsoUSpJEqtV+Z6P4dEVQJHp/PGOUZ+tCYFT47tZv9bzKVT87Wrx8xh+rkyoLO0x/xtz1ncN9x7ky4l8FEjLdNyASZYAc8tGMLXRMvSz4nvyxMsm4d/653qfZwmTJiA3NxcTJ8+HVlZWejXrx+WLl1qHzAiLS3NqWlEaWkpHnzwQZw5cwb16tVD9+7d8d1332HChAlq/QRdcJyMz1seg4mZdISuc7CFqVC5P6HyO/TkmZ/346ruLdUOBlFYcKxRUat2Ra0PCnpK3rX8zWXaL/vx2k29+BFWY1QvOAHAlClTMGXKFMF1a9eudfr7lVdewSuvvKJAqMibbvENcTRbO9XYTFakw2upLQVlVfh682nc1L8tOjQLbiTQw5nSPrOh8EJnIT54VqvNqf8mOXONYyHw2ASNz51vP2xPw20D26F/hyZqByVoSk2/owTVBl4kZUndtKhtE98jzMg9dxOFNzXTYSW/ID+9ZB/eW3kMN87lJN9SEVvgk+s+h1AeAgCwI/Wc2kEglQSaIdZKHydthMKzcof5GEkbWHAKE1J/4RJzuMteXYnKavUf+lD6uOdPIq+VFxMFZ+vJmuF3z5dpb/LAUHq2qI6/eWGzhWkNCfNUsFLy48Gf+zIw6NWV2HX6vNu6cEzD1PjNoZRCsOCkotyS0BsJ0LGAVlhuxomcwOcKCEXC/Z4UD4ZftBq8cCwYniutUjsImiFVxkuNWKT1Zz4Yofzb/OE9ftZdpFAcVc9sqWttkpqv3GAEnkxZuAc5xZWY/M1O95UO8XX/2ULlAhUAqfKMfEaDw4KTipTMBDkmoFKnpeVV3muVCsvl/1Kekiv/RML+EkqcmGDVCL8iT+BKKqvt/x7xpvvEtmrSa3zWabBJR5zeuUzw3KhxSaotAt0HHAKi9Q9TUk35wPgYHBacwtDSA1ke1wXyQK07lut1/UkFCjV/7cuU/RyOzEIJsALUSPCsKpxU64MOKDkcudXh8jsWoqSi9aHVf08+i80ntDPdgBRXixkX0rpdp89j5aHsoI+jhaZ69nP6WJ+So70PsFJTbaTFEErzWHAKE44Py+ojwSeGpVXSZ+D04nBmEbq98DfeWnbEx5buKZTGywOCujz/t9NEp8Gy2WyokKDDayglxHold3Q+nl2MRxcl487Pt8kWjlAa7UkLdJjEyc61WbEe3gO3fLIZ932zE2kBNLXT+scYJw5BfWvZUedVGvgZurqWYYIFJwrI1pPCoyhp8SGXOvF7/e8jsNqAuWtOSHtgFf25LwP/+mKbxwLSgk2pkp3rVH4ZLFbvmVUpMrOz/ncIhTINqBCO/avUkFEozyz3YtMElqnEcbyevGTuvMUjraclGYXlMh1ZG7873Oa1DMXfpDQWnMKAaybV21wuWk/EA6Glwlx+SbBtqOW5P1MW7sHGlDy88fcRwUyllM31xBSKNhz33TTL11HmbzqFl/86JDJUFAi5m1Rq58klCpwUNeyBkCLVliujrUoGXuCcoZfjIbmx4BQGDmcWOf0tfQdI70nPtlPhOceHUJ6yWYMoxc4fyIupwMNAHj4qiPym1MvquIYmaSZ5mS1WJKcX+KzN9Ecg5cKDGYU4mqVuvFPzA1iwzSaPZhXL0of0RG4J5qw8hqIKZYb1r7bW/YYvNp5yWhdKHwT0XvAIpXshhsGgThNEvccTRxFqB4CU0ahepCrnNRhqmrZRjWb1o92W6SHhlrwfiEypqMHApgj+OltQjt7tGgW0r9wvYLHHNxiAZ37eh192n8WAjk2c1p0rrULT+tJ9sPAWptLKalz3Qc1ExcdfvRaRJn1+m1TrEfpu62m8+PtBjOkZj88mDpT02KPeXQebDUg/V453busr6bGFOA7k4q2fkJzplSQDmQQQGxz38bS3RiqcvNaaa6GPE2mPPlN18tuIri08rnNMTJjp9E3NxFSt+6PGyHq+CAWJ7zn/PfnTXkmO07yB+0eBYPnTzPaX3WcBwG2Syw9WHZc0TN6cL6urzffWPEt7T5M2fLr+JABguQSjubmqTS/2pLlPgiq3UGwC742Y14XeBmXJKZKnv6Uvei686e0ei8WCU5hQ7OHT8UMuNa1eivRzZR4HTTA4/K8joRnXAxUKaamW+s0Fy/HLuL/phOPmzRVshgqIL3zkFCuX4XH8eh0C0Vy00HkapOOYRug6zfMV9gB/m1YuidjMvRbniiR1sKleGJCy0FRhtiAm0iTdARWg5y82UsssLMfwACZR3Z1WIH1gdCxUvyBrLYMnxbPrewTH4M9RyzG4al5LNQv2aqa3pZXVqBdpgtGorUTftcY+nArYnp6D49nKF0SECknemuppLT2UihrpQyjVPrHGiZx4i9pfbjyF7i8uxd/7lZ1sVmvEJjlyZCCCTXqSfRSA5Ggi42pjSh5yJZgXKlQLL2qofamVV/k5+pcORtUTbtIp7sj+vutF98ny77CK8zt8jsORB/FYBhOdMgrKccmMZbjzi62BH0RCBpHX5Ox5uYb7lmhUPQmOIeRsgXy/2x/h+GFVjXdnKL2tWXAi0V7+s2Zo58cWJ6sbkDDw0850VFYHN4StlhOqp5fsU+ZE4fhW9KLcw8TVd3y+FTabDYt3piscImlopemkUzi8zt1DUvstuaaPm6c5BpUmtgC55miOvAFRmZ6TYC2EnSPDag8LThS0X/ecVTsIIeepJfvw4aoUVc6thZcFyeNolnDzmK0nzyFTpslm/eHWH0lncdF5Ilhpi0dnC8qRnF4g6TF9qbZYMXH+dryxVPzIqFpKPz5em4LPLww4oTQxI8sB2m8O5it8vuK5ln5fMEFR6+PMgs2pkh9TKx+a9IoFJ3ISSDvUZQezkZJTkyELh8cxmEk/hXb1dLy1x9y/RGrpJUQktVO5pYqcR67MvZx9nIa+vhrj526yp7XeSFVo23A8D+uP5eKTtSe8bidVRkzKDF1+SSXeXHoUryYd9r8JqsS8jUrKJsfqEhvjslUaVS9khFA0Z8GJJKHWUJ1iZEj8JV1s4VIoE6CHgo8ewqgVFqsN325JVX3CU7XMWXFM7SD4VC317M0iyXXWgxmFMh3ZXWW19BPRKsUx7BYVErWQGVUvaNr58cHchw9XKzetAWkbR9ULA2pWy177/gbVzl1rr8LNW2qJ/apdpePMiaqEOv0rPAPuD9vT8OLvBxU7n9bkl1b53igIYtMub8/a6iPe+5BIGl2cBgTQTobRX3ps0iSWOhOvuoyq57hOv9EkrATT0kRbpP8dm0/kAQCu6Nxc8mNrEWucyAnTcN+USkD5QtW+fWcK1A6C3bdbT2PUu+u89lXyFnWPi2gCpjQt5lW8FQycahmUCEyI0eL9DpTYUfVCkZ5+b+gUiNRRVlWNOz/fhjs/34YyD4MPhRoWnMjJ/jO+m4F4SxOZCMlLifbwermFQlfC9Su/Tn6KJF787QBSckrwxtLAms/lSzBEvJIc77VWMmqhllnWWlrw+fqTeGzRHlj9bH6ZW6x83Ha8/97igtZrJgN552i131Yw4VLrUcgukjruSntvSivr+g9660uo1TgRCBacyMnO0wEO5aqxFyy5v5BtNhvWH89VKTT6lVVYgc/We+8cryVVlsCafr7612GJQxI8JZIVKV/oTk2wvI5HHjqZiEAEWlh4NekwfkvOwLpj/qVjU39MDuh8UnH7oKPQ+/KvfeE956KU1PqIUFIpfS2O1j6I6A0LTmEg8YMN2JiSJ2rbUH2fHzgrXYdqpdIcqRO335Mz8MN2fc7TI5YcNZ4TPtuC15LED8esZfu9PAfB9leS4tq7HkNvNdgG5/HI1QuHwl+y/LlNKTnFuHz2Kny7JdX9OCKPUebnKHmHM4v82l5qag1HXlhuDvoYPocj13mewTXOORZydZb8iKTcj9J51PCIBacwsfaouC90gQ5AVfui1mqzg+s/3Kj4OYWHHhe3DBB+IQVzeVf56CSvN0rFtdP5ZYqcRwkrDmUrdq6zBeX4YsNJWb6YuvI3Iy2XUMln1T5acvye5345gOyiSskHVdHaq8cxXff2DGgs2G7OnC8Pan8t3Rd/w5JXXPcxyWzR0A8hVXFUPZJEaH6ZCY7Yr75aerHonUWloafJ3Y0fbUReSRWOBDFUu9h0Zf6mU34dN5hnzluYlKhwEhN2NfsT+LpnagwNrrbiCueCk56GKn9n+VH889LWagcDgDw10N4O6TjYwak8ZeaYE3IkqwjdW8UFvL+cHxnF3hKtx3N/sMaJXAQXu/XStMZms+HHHelIVnio8mATDyUur1ZrDV2pGcy9ZwpRHWBfonCRV1LztXaTyGbCoUBPGWLShlDqNF9Lq3Ffo8Hyadwc9ad18USr91pOrHEiJ2IeglD4qr8pJR9P/7wPAJD6+nV+7St14cWf4/m6P1XVVkRFBPc9JARurySqqq14aslewXV3z9+Of1/eUeEQiaNWwddTNPY2PLo/bDab9j/MONU4yXMflLwEYq+3P0Hytq1a9zf9XBkKy83o1baRZMcMlQylr5+h5M9UOnZoPr0JUKjETbWwxomchEvBKSUn8OZDWuZ4bwK9S/4O9atlwbz3luw6g9+TMzyu/3braU1O9rlbpQmf/bXr9Hm8v/K4123Unig0mH6GXoeg9rmv5y20mOlxzGBqPa8pdG2Hv7kG13+4ERkFwfXncTqPl7scasPW65uXedkUisun89VrBqiUUIrnrHEiJ4F+JdX4u1IdAhfFcZ6DwjIzGsVGKhggcfSSvskdzvNlwY0ypxbX/hRadcsnm92WuWZUvGVcpLr/kr7QJTqWzab9Aognvq6nUr8rkFtxIrcEbRrXkzws3mg9vQ22BltTv09Tganz8p+HZD2+nIUWjQwkqijWOJGToPvgSBMM2alVBX8wo2446O+3n/Z7fyUSJj3VOJVUVmP1kWxUVbO/kdrkfqTUiJWHBIaxFt0Z2ss6X4fQyhOoeNMohc/nSpWv4gGcdPOJPEz4dAtSckpkCJAz37WjsgfBTunXdrCnK6+yiHo3Kd2KR68fZbSCBSdyopUXdqgSKrBJmYZJkSDqqNyE//tqB/5vwU68vfyo2kFRTPo5bQ2PLm9B23GwBR1FTAQXXr39Vke+0iClmreqnjeU8Rbe+fk2bDt1Dg98t0u+k+hYhVl4egKhFjWu8VWqR6/CbEGP6Utx2asrpTmgRuk4qQoYC07kJNCHQG+dKJUIrs+vyhqdWLBRPXWaD455bx1+3XNG9PY2G7A99RwA4LP1J7HlRL5cQdOU4W+uUTsITr4WmMhUKoqMIinXcYPo40TqUKPVZjDnzC2pDGJv+cgVv8UmB3d8vlWaYwaRAKVe6LckxSTEwVIqvfF2tUJp9EgWnMhJwH2c9FVuClLgPzboL8kKlKZio02yn0PIsewSPL5YeBQ7IVaXa+HPy1KMwwLNtFxVaWBI8vOlzn2xlC5w/7xbfGEXAFLzSp36+okVOq9d37z9ViUzIGLTdanS/5MqzpWjFq33SQykz5pcNaZiP9DuSSuQ5fyhQM1RgUMFC07kLJxyJzITSuTlvrzhlIj9uDPd5zbBXI4/92X63Gbn6XNBnEEaX2w8qer5i8r9y/iNfHstRr27TtS2rqPq2Ww2ZBdJM7y5lum7+YvPtnqKc7ye3jLfajSRXHEoW/Fz+sPXNREcedLHerUIhaV+tPMYaVqoIRLjRK78/dv8paFbLSsWnMhJoBH/0R/2oLLaopuMuxLBLPKRABeVm2Gz2VAk0xdHLb2w5FAWQK2FJz/tTMc9X22X7HhKqraoe6PTzpXB7GfN21kPwz67PpeumdwPVqVg8GurMG/dCb/O542/mWVlmg96Gcpa/d47miRXoWdvegFGvbsOa47kyHJ8rQvx1whG9Wjp9PfGlDwsPZCFogptF6AeX5wc0H41H6CkDUu44XDkYepcaRWa1o+S7HgZhRVYuC1Ntf4xShKbcVp3LNfr+k/Xn0R+aRWW7PKjX4+P9cxUBeapJfsC2q+wTP2Xq2uTRTWUKNDcyAYb3lt5DADw+t9HcO+wi2Q/p1q894/SXlM9v44p/SF9qhQ56qbQlZ20YAfOlVZh0oIdfk+WTtKSI+6YjM71Bw//sAcA0LddI9w6sH3Ax5U7Wd53ptD3RheoNdiM42k18JqSDGucwtSQ2asElwfzgJ3XQCbSm80peYqf03V0H9daEn8KTWLkllQG1H+EAiNXbaE/tDIKotyZbL29eI9l63eS7VDqyB2sQD8K6C2+ehTA73D87f7WRstJ6Kd4Srf2nikMyc+QBoN8teaheL2EsOAUpjx9gQuVtF7InV9sU/ycSnf8Hfr6agx8ZYWi5yR1hUwGzU9a/933fr3T87DIGg+7v/zJMKndnFupr+9em1v6uAZWqw1bT+ZrormYz3mcfGzx256zkoVFjrjjLTqoHVf1xvugNqGDBSeSrjpVT7mBIFJEpdJSoasp5hKXhliN04Gz4pskhCPWDgRHzqsXaO2vVpJSsU1/QzqDqcJvW7wzHbd/thU3zd2k/MklVlqlfq18Lb/7Myp08+V+3LWQnOSE0KA+LDiRk2AfsJB+gV6ghUQoEHq9NcEMUay3+cUC4ZoXUOsnZxQE/2J0Dbvj31IWJvwpbBaWm3HmfN2kw+dchn+Xg5YLw1XVVjz0/W61g+FTQFdQyjgWxLF+T66ppTmRG37Ds3snTeJWWG7GlhP5sk7ercbHjyNZRSipdC+oWjTQnnuvH32ytI4FJ3Lyv70Z2HemQO1gyE4P2emgw+iSVp4vkz/DR8rTwuAQgFQFCoPLX/I/qb7O0Pel5Rj2xhpkXBgJcLUEo6v5Ktx6HRxCzO2WMUr8tucs/trveah+X79NbwPYyBFaPX3QCWQ4cq2qLT+Mn7sJd3y+VdSUFlLYr0ChYXNKHsbN2YDRLlM9rDqcje4vLrX/LWdhMVyw4ERu/vGR/psHhCqxSZ5QtbjWJ1qkwGih4GS2yt8BXK5aGLFHTU4vkO6cPk6q/h29QCB/L9TvZuKX27H2qP6H65YyjgVzpN0amsA12CuigeTJzakLrRj+3JcZVF80sW74aKM0B/Ii6UDNx4zMQud3/71f73T6e/EO+QqL+vkcEBwWnMgjf9sDazB9lIU/icPutPMBnyeYifiyQqg9sVpDqeqFFi7P4NeER+n016m8Umw8Xjf6pVxN9YKhRDj0FudLqyy456sdqoZBZ5fMTuheV4kcPl275LkZOqqo02xYD2YUyXZsnT6CftNEwWnu3LlISEhATEwMBg8ejO3bPU9E+fnnn2P48OFo0qQJmjRpglGjRnndngL3WtJhv/fRSzMMpRK1XacDLzidLSgPuFpdKBORHUKFqWBFGPURT8XQwstKqkzrkz/txb++3Bb2A4IEfTmDjN56Sce9CeQXCMXjQN8VYgu/GYWBp8taLSxqNVz+KghiihWlr4HY82m1QKcnqhecFi9ejKlTp2LGjBnYvXs3+vbti7FjxyInR7jaf+3atbjjjjuwZs0abNmyBe3bt8eYMWNw9qx0Q14SkFFQjs83nFI7GLoXbBrl2gwrmC/RrlX4/vp1j7RzTpE0QrHN+iEZv4q6Ep3hqP1/Px5qvd6Z2uZL8vTvkeGgJJtgm5VKWYBg1PHs7IU+mCQ/1QtO7777LiZPnoxJkyahZ8+emDdvHmJjYzF//nzB7b///ns8+OCD6NevH7p3744vvvgCVqsVq1ZJ01SEaizYnOr3PqHylckXNTNOWUWVorb7VcK5M2o9vniv5McUMn+jc4E9mHjl6VZVh1Bhw2YDPl13Qu1gyC507phvQQ8OIaPcEnFpkJwOZXqvkSyvsuD5X/dLci4t176FWyFUlt+rk4SldqRFT9YezVUoJM7CLAoCACLUPHlVVRV27dqFadOm2ZcZjUaMGjUKW7ZsEXWMsrIymM1mNG3aVHB9ZWUlKivrEvqiopovmWazGWaz+pPLqan291dXu18Hi8X/+UcsVguqA9hPSbW/2fH3+RsPHL/w+9rXYrEEFc/MZjNsVqPbMl8WbE7FvUM7BHTOc8Wev1wp8czM+vOQ09/VQVxDm83mcd9Qef6XH8rCeYcmJWpnrIHgr221pRpmsxnV1XUDmlRVOR+zyo9zuIbHbK47bm5RGTo2ifZ5jIoq93eG29/V7uvNZveshbd4ad/Pw9tZKE3JLqrAJ+tO4a5B7dE1vgFsQQ7WYbVYYTabBdPJT9ed9Bpux3ML/UbHWnNf18CTuWtO4LGrOzstszic962lh7HGQ0bS6uXaC6c14tN7p/C4vAsd9632EY/EroPNd5iCXW9D3fUS2tYqcM0cn1uL1RpQGix4Lj/evWLOabPZnOKNK2/30BfHa+BrX5uID3mPLkp2WxbYu80myUvCHiccfme12Qyz0WhfbzNYBffRIn/CpmrBKS8vDxaLBfHx8U7L4+PjceTIEVHHeOaZZ9CmTRuMGjVKcP3s2bPx0ksvuS1fvnw5YmNj/Q+0pFS9/EhKSgIAFFW5h+XP3anw91vCiZQTKDlrA2CSIniyqP3NB7MNqA1n7TKxsrONqK2sFd637lqeOnkKSUknBNeJ8ffSpTAZnPdzP6fwMVesXO33+QDgn5957jNYc25l4+3e5GREnt3jsET8+c+dP+9yvTxdR3WfxWCcd2mHb7NZofZ3wGDjyb59+1E/ex/OlMJ+nOXLlzsdc9nSpaLP4frMVFrqjvvD8q3IaeuakXA/7gu/7oPxzB5YrCbUXt8//0qCY3e5UrPzvitXrkSDSPfjFhQWen2Oly9fgfqREFy/b99eRGcmO6354IAJJ4oNWLQjDe9ebsGZs3VpVCCOHT+GpIqjOHxeKJ30fM2TkpKQluY9fczP97beWzrnff2xM3VhXZacCk/PQFlpmcfz7tyxExUnnOOCxVJ3v/15VxxyuHau+56rrDun8HHFXYcqc5Xf10nc+rptLNUWrFixAgDs/++4/sCBA0jKc67dO1lUtz49PR1JSadFntt7uLy/e53jpfd0v+bvzJw8RJfnwtOzcuzoEXi6h744pl2+9s3JDex5DeTddjCjGM2jbQj2HVF7jmKHNO/vFTUtv5pG18SVmjFOxF0DtZWVlfne6AL95hYAvP7661i0aBHWrl2LmJgYwW2mTZuGqVOn2v8uKiqy94uKi4tTKqiCHt2yXNXzJyYmAgDySirx4i7nsf+zy/1/qDp36YwuLRrg2xRpmkjIofY3F+04g8UnDzktc1RptmBjSj4GXdQUDWOcH5O/CpOx71yOx30d7+tFnS5C4rhugutEhffaa2EyGpz2cz2np2P2uuwKYI+0A6ckJiYqHm/79uuHxL6t7X/7c/6mTZogMXGQ4L6O11HtZ1FKBoNR9WqnYONJ7969kTiwHQ5mFOGtfVsBAKNGjwZ2rLFvY+zQH9gmLq2JvmggrunR0v53WVU1nt6+GgDQvUd3JA67yGl7obCXVhvcflfPQVeiU4v69r8Lysx4bmddGEeNGoWm9aPcjtuoURwSE4d4POeo0aPQJDZKcP0ZYzxmJF7qtO65XasAWGCx1YRxzZL92JHrea4lX7p27YrEq7ug4fE8zDtSM9lt7fPi7b4mJiZi6x+HsCn7jNM+jhZn78SxwnOC672lc77Wn1p7EknpKQCAuLg4nC0rFgxjbP1YJCYOFzzugIEDcE33lk7rpu1ahaoqi8cweVL/WC4+PVL3wcdx34yCcry0e4PH3yL2OpRdiJOe1vva39N6x23MNgNGjx6NFStWYPTo0YiMjHRaf0mvXkgc1N5p352nz+P9gzWjLLZv3x6JiZcInrtJ98EY0qmZ6HD9WZAMeHj3usZLT+m74zN8stiAgRe3AzKEm8F179Edf6Qd9xomTw5l1qVd3va1Wm14dMsKwXW+ePuNQstr5VUG/2Gt9hz5JZV4YWdN/vHdQzEorqjGU32qMWn8aFgNJjyxbaVguLSmtjWaGKoWnJo3bw6TyYTs7Gyn5dnZ2WjVqpXXfd9++228/vrrWLlyJfr06eNxu+joaERHuzfDiIyMtCcA4ar290dE+N+sI6FZLFLznUvoRqMRERHarW0CHH+zyW2Zo1l/HcW3W09jaJdm+P6+y53WGQ11X4Z8xaENKfl4MYh4FhkZCZPLCHBi4+2BjJKAz+stPEozmYwBn9dgMHjcN1Sffy30ewj22hpNJkRGRiIiou4VZTA6py2P/yT+A81/FyYj9fXr6sJnq7tIkaYI0eF13S4qyvk9Ehlpc9te6Nje4iUARER4fj+tPZbndd/IyEgYjcF1XzYaa66/yeH6i7lGrucW2sfXerHnc11vcjiutwlmvV17k4+44E+8Npmcs1eO+0ZEVntc5+855V7vuI1QfDZdeFYdOT63JqPn9Pun3ZkY0U04rye0j0lk3PG23nX5oSzhAjZQ8xyIOaYQx2vgbd/fguiPrOa7rS5O1OUfa+eKTM6vuedWg1FwHy3yJ2yqDg4RFRWFAQMGOA3sUDvQw5AhQzzu9+abb+Lll1/G0qVLMXDgQCWCGpJ2nT4X8L7lZm33ZQpW7SRxm1LygzrOsWzpCy9iaSEDLYWgBocIkWtAwNKDWbIc1584kn7O5WORTPFLb/M4hTJZxiPQ0f0NNo6LnVRYzOigcqTn3eLVbXlUOxkv6Yfqo+pNnToVn3/+Ob7++mscPnwYDzzwAEpLSzFp0iQAwMSJE50Gj3jjjTfw4osvYv78+UhISEBWVhaysrJQUqJeBlWvJn+zK+B9s0WO7qZVes5Pu2bePNHzb5SKlkfEIv8EM6eKN/07NBa97fA31zj9bfSRk1Mqg+ythkVK+RKMqKfljxl6KtBoxZFMaaYOOJEbWnk4zqsUulQvOE2YMAFvv/02pk+fjn79+iE5ORlLly61DxiRlpaGzMy6ttqffPIJqqqqcOutt6J169b2/95++221foJuuc4RFCw9vXN8BlUjiZlQMKb8sEdgqcC+IZIi6ylekbSUiMKRJtVfg260GuUnLdjhcxu1kh2x1+x0vvhO4MEQW9Oid99vS/O6Xmz6rdbVOprtueCnRFT29fFFj0I95mticIgpU6ZgypQpguvWrl3r9Hdqaqr8AaKw509SZrXaMOvPQ+jbvhFu6t9OtjDVOiO2xin00mMKE0KZLS3WBhhlaqtXVmkBGgRxgKCbVwnbd8b7/Elq0lr00Fp4SNiBs54LThuO5wV8XF/v3wqzBb/tOYusouAmpteilWeN2HumEC8nHVU7KLLQ3qc2IgUEk69wTRBXHM7Ggs2pskwQG0zhJ9zb5pN+CX2tlyvqyTHBcq3VR3ICOueIt9bgdL76fR/47SVw4ZxUyvXblf4YuDEl8IKTL++vOo5nf9mPhT5q7PTq1k+3YW96gdrBkAULTmGML0XP/Emgz5VWyRcQjZmyUFwzQSKpSZkXc8zYPf/bfny79bTnjb3w1czmqSX7AjouUDdAjd4o0a9Qrgy0UBwLlSbPSpK6G0Atf+JWQZm672XXS/C/vRlOf6/zMEEzaR8LTiQZG4BKc3Az1iuF78LA/LU/8LlhAhXGH27DllC+S67M2IGzRXjxtwMB7RtoS71QTn989e2RoiDiKyqE8vVVWrBPndj9pb5ln284KfERg/OwyL7JUqkwW7DvTIGi5wwXmujjRKQ1WhmNbeXhHAzu1DSgfUurQmPIeDmbB+YUV2DRdn1+2Q83mmz6FGAyIfVvcQtGkMevPV64FUCkvC9ajK5qkDSue4iPFoGhzKtFDG+uJik+BJVXWTBv3QmMuSTebd09X23H1pOBTzkjVjjWyLLgFMbOyzS8rx74Khh5SwuUTCcmf7MT/do3Duj87ywPzY6ZfvFxrf7zzS4kh1g7bE0WMPwk9BO0+LPkHBHLn0Nr6dr4TFulOIeCabCvU9lstrDMPGpJZbX7R0KtfPz05IiXiXfF+nD1cXy89gTeX3XcbZ0ShSYgPPs9s6keSSYMnx9FBJqxN1tC44Y8tWQfsgrlGXko1ApNIUN4WD3lw+GDrAUnjWf81CTflfEvjr259AhGvLVG9f40clLqsXM9TaD9DsPJwQxp5tAi/7DgROHJx5uXWRZteSHAPiikDqEvwIHQeuFBztD5UyaTKxxavf6+aniUyux/vPYE0s+Vo9+sFW7NxcLxS3wtKX76i78dwH6X4e/9iY1yfNPIKQ69ocPJfyw4UXgKImG36mP8i5CSX1qpdhB0Qwuthv7cK/0gIlrsshDotT6WHXwzHa2SKv5tPZmPdA9z1skVxYUy/MWV1aL29TT0PHlm8PDvWtkam+Po1b8Oqx0EzQnHZqrs40TSCpFnyFtisPRglvO2cgeGSGeqLMF9XRAqI8k1ql4wAs00iGlGq2a6ooUrfftnWwEAqa9fJ2p7X6P5ya3CHBqD8WiZp+dNqGZUjuentJL3mFjjRBJS+8XlF1031dN26IiCLeQIdnEK6ojy0MzHVpnCIcfvk+KYmrnuXmgxvqohv7QSVomqi/1JV/QQR4LFOKYOFpyIJDTtl/1uyzIKylUISWgJNB9+PISbRHmihUFBnv9Vmj5p4ZD58SiYYfVC6LoJ9RXSYt8r11BqsIJUFWuP5uL+73ZJcqzktAJJjkPSCce+fCw4hbnUvFK1g6ColJzimuFjfW0Y4Hv5h+1pbsuueH11YAcju0BHvwvnIff1TDizrH1S5iGC+r0aycsUVbg/f/7+rlWHBfoOyRQZgm1iqgVqfKjbkXoOm0/k2f92bX2y4lC24H6O6XrS/izBbRxVs4MxaQALTmHumy2npWtiZ9N+5mbUu+uxZNcZtYMRlLySyrD8ylMskAmj0OYYzbUY4zWT3snVVC/I/T9bdzLoMJzILfF7n0BrKueuSQlsR0HqxNhhbyj7oe7Gfm3wz3lbcOfn21BYfiGNFvnT086V2QcAeW/lMZ/bexr+P6xrplUWjoNDsOBEktJi5sbVV5tSfT7sWk8K9F74C8TY99YHtF9ZlbhRsUg7BCfA1WDisiklz/dGAdJjfuTAWefhow9kFLptI0VGyyjTtTmW7X8hTWuUHn2ydaN69n8Xlfv/ccvbXETBtEDVYnPOcOeaPugVC04Ulnwlqf683M0qjJP8x94Mxc+ptgyZJsEl7Tkl0IRYi4PPPLVkn89tqqoDb15ksdo8DsmtRXvPFDilrXIVdoPNFOcoMMy1t9+uxY8AeqCn2g0l7vGRTH1NgDtpwQ61gyAJFpxIOgboo8pJYgs2nVI7COQFMyn6882W0wCca120+LWyuMJ3beZ3W08HdOyMgnL846ONGP7mGvy93/u8WLJlJ4M8sFyPXrA1ToNeW4VCifs/+mo+bbPZcDizKKiCdLgz+pFjtYRBwp9TrP78hv50G5D6mVMLC04kHZ2kUzZI2wzmRK7yA2zklVQpfk4iJeWXOGcKNqXkqxSS4KQFWGP0484z9mZMX2z0/nFG8qT3QmbIMU9kkahmXYqk11NfF3+8lqTsZKaLdqTj2vc34L5vdip6Xrn5UxMcbMbZn5rGT9aeCOpcJD0tthoIBAtOYe6nXemSvXULA2jfrBdaG4wh3EZDpPAj5xdjbT3N2uU4IItrQVZITpH0X8AF75VA/tkxunjrN1PrVL6yaehXF1omrD+Wq+h5ZSdyzrWCsir0nbVc9uDISS8tBfeknVc7CIK0MFWGFFhwCnPFFdVYc1RguNcALNqRjpLK0OiI75hAllVVY8Rba/DkT3vVC5CLcs5SL1riBxs4Ih/p2q7T3jNCkufn7Amgf0d+f9Vxp0yz4LDyUkyAK7BM7SzZ2qO5eHTRHvsQ7GqHRylLD/oeRhwA9gQ4pYQjtQsu/nzLUbN2JSVH/4OcaBkLToStJ89JdqwvfTQp0QpfCbDj6qT9WUg/V24fye7q7i3lCxhJ7nR+Gb4NsJ8JqccAg+oZpbCloRp2oSigxS/Xv+45i9+TM/DeCuFhtUNhxD4hp/NFNkUN4Ja5FrylaKIptV2nzyky2AhpBwtOhF/3nJXsWHoY+rlmAtzAE+AWDaIlDA0poVqDGS0KDV9vTlU7CJriO2UNPvOr5Rr37AuZaA2VPTVO/IXyVG564kd1WoPsTD2HWz7ZgkGvrXJb98tu6fJVpC0sOBEJ0NOwp0QUvIyC8oD2m/HHQYlD4j89pVc6CmpAxBSYXEdjrLaExkh7ct9bx8PXDlZisdrwl49RJyU7v8vv23zC84A1C8Lkg0o4fh9gwYnCkj8J/NnzzhmqUH/xa9nCbWlqB4EUovRzNu2X/Yqe7699mZINOlNZXVcDkyxBX5JaWkjrSmXqN7v91Dks2i59eiKmGaFrX+CKEBmivDY6+xOt//vdbpwrFR4l1ls3gtHvroM1gJEetTbQkxykGgGThLHgRCTAMb+QqvDoS2KFwwvA1XO/Bpa5tYbhtSL/5JfKMyfKn/uEJ6t+aOFu/LlPmi/lFea6jPf936o73PXhrGL7v4UeO6GyWHmV56Z3H6xOkW3E1mdlKCzXpstqDA6glQyzv7/9hd+E78N8lzkSHWtWT+aV4nyZ/9NyLN6R7vc+nmjgu4KgF347oHYQQhoLTiQpbSTbvvlq2uJttRa+wgJA1+f/xnUfbFA7GLowZ+VxtYNAftLIYxY0b3OuvbXsqOTnUzvz7FpD78uWE/noMX0pZv/teV6l3RodXllI7dUP5281/v725LQCUdsFO/ExAMWa9ampWiMF6FDFgpOKerWNUzsIBOh2RJxqq03UfCVE5JsaGd1AJ8f1RorfIdWlEKp5cP3w9GrSIQDAp+tOBnWuM+elv5aBqKtxEk/NjwRS9q+Sv4+T8wkyC9V9d2vlIyopiwUnFbVtXE/tIBDgobmMtxSRqSURhRdvNWeeCDfVkyf9zFI5E11LTIFJSxnuT9cHV2BVkut1m7Jwt9fY9L+9GW5N2oP5sOB6Lj0NykLSYcGJJKWX5gmOyV1liHTMJe/CsU+YnjFTEhgb5Gky7drfJBzlFMtTOFMzqv98YX5Cue07Uxj0MVzThNT8Mq9x/eEf9uCPvcJ9DEka4fhaZcGJJKXHzOnJXPeJCfXQx4n8Ey7Dw4YSuWonhOgw6ZKdHFffNf086jCYhDe+3i1K3D+15gtSUiAj1Ynx3krhiYH9EUh83Jnq3D9uY0pe4Ofnu5/AghNJzChF702ZHckq9pkAOq6Wsqqf1PP+Kg4QoSfaT0m0ScqPV45H2n7K89DQjhzTVsGmeg7rk9MLRA3fLaYKTYlMrT99StX4iBjsJdh+6hx6z1yGxTsCG6a9tkZIrl8eyD2WcnTD/JIqj0OnU/hgwUlFoZgB79g0Vu0giOL4JVuJ21DF5oBEmnYos8hpPqRAaCVJl6MMIXYgC19pnWPau/ZoTlBhUpqYwpCY97qmPgo4BObB73ehtMqCZ35Wdk4zsYwBlJykzGftPH0el768wmc6kZIjrhaV9IkFJyIBUjfVO5TJ0e+ItO7jNSfUDoIofys0pHIgGfycYnnmw9LLh8ZAgilnk9TXkg7LNomw0oTevSUVyv+286Xe5xV7ask+hUJCamDBicJSMM06LGKalri47dMtgZ+QKAwZDNI2v6ow130l9lRzkJxeIN0JZfT9Ns9NqUokyCTXXnZZyioO93TZweyADyO2b5TSSip8T9arZBnws/UnMUeC/kX+WLTdv6Z+YgeCEdrqpf8d9LqPnNfaU7ArzeHTwiTYWno9YsFJRTr5gOYfnfSedO7DJLTe8+8IZDJGNtUj8p+UtQzLDwWeSdcTUX2GFCI4j5PDvw/7URO/9GCW09/z1klTOyh1X6TdIidzVZK3AqocfXb+PpDleyMHBWUiwyCQv9ieKq7vndZ00Em3Bl+GvbFG7SAoLkLtABDpjXayJeQPvTT1oRpSN18S1T9F0jPqV+11CPYO7E13H4I6kGHmK6utePD73UGGRtj644GPshYopT8vnvdSMCkoc6whU+fDZ5lZvloLOdP9QNKo8ioLvt92GukambCZ/MeCE4WlB3y8hJ1GhnJdJ31wSAGuGeffk8+qFBLSqvXHcgPaz2azeS0Q+Frv9/l8FPG0UgAsN1tw4GwherVtZF8WyFUwW9xr7KW6mgfOip9f6HyZGVarTdTosWp8qPl+2+kgjyAc6GKZ+xHJe6208jQA647l4u7529UOBgWJTfVUFIpfwItFtO/WGl9foqWa1uLhH/ZIcyAKSJHLy//RRcnqBIRCzmfrT3pd//Kfhz2uO5VXirwS/wZU2JSS79f2gZKisHf9hxuDPoaWXpWv/OX5XjqyqvCCf/F37/19AvXGsmM4XeK7/xw/KnrHQlNoYMGJJHUyt1TtIPjN1+vtfy4zjzvmJTILy0Wfx/U4ROSFjnJhs/8+4nX9/E2nPK77edcZDHxlpd/nLCzX30cqIMC5eCQaBlwK3u6lWP5cg/6zlmP+xuDPKUaFh0ENFu88g3f3R+CGjzYDAJYf9K8Pk5pkbarn4T7qpKs3BYgFJ6IgrD0aWNMeIvIuXDIfH61JCWg/KUbPU0Mgt/XMed8fqKSc6FRLzpeZMevPQx7XZxdV+D6IiEtTWlntM06dKajAsz/vw3++3SW4fvMJeWtCIwWaSPqKG2cLxH/cJBKDBSdVhWZCrzdCXzMzCz2/jOScc4OIasyQqdlROJCqyXST2EhJjrPHYSTSQJr/vbXsqPtCg+ufgaXLgseWmesr5+stqQEf6+aPN/vcpriy2ufIrjP+EPe8LdqR7nHdkz/tFXWMQMVEmvzeZ4OMg384xjjHvnKh2A2D6rDgRGHPnzRuT9p5HM2umz+ECSSRPH7dcxYWqToYhiBvxYQTEjWZrh8tzfhRN328GfkX+nHxs5O713009axlsdpgdXkmzhaUo7DMjJk+Cj7XfbDB63q2ngjOo4vYhzlccFQ9Ij/cJOLrHhGRK6GR4YLhreJGi4WTzMIKNGsQLdnxtF7z7+2j2rx13gcTiY+LRnaR84Ah20+dwxM/JaNJbJTb9gNfXeFz/q7jOSVe15P/nEbf5TeesMEaJxXxQdMGftQmCn1ZXprfKmHil9KOqKX1goNHGg/2c7/ul+Q43l4rKw97n4xZ6N7e9ukWpJ8rx74z7sOna2nSYwqf/pnhSvWC09y5c5GQkICYmBgMHjwY27d7frkcPHgQt9xyCxISEmAwGDBnzhzlAkohK5iZ44t0OPw6kV5I2eH/fJm6z+qWk9J2nPeWOQv2qoXzR72F29LUDoJsgnnXkTunvtAOz6PUtcukLaoWnBYvXoypU6dixowZ2L17N/r27YuxY8ciJydHcPuysjJ06tQJr7/+Olq1aqVwaClUBfMq2SpxZoiI6jCf55mcH7XlHKFOtzVlCpLr+vd5abnHfoN6qCXRShgrqy0AgL3pBYLrj2WzWWQoU7Xg9O6772Ly5MmYNGkSevbsiXnz5iE2Nhbz588X3P6yyy7DW2+9hdtvvx3R0dK1lVZLt1YN1Q4CAUGVnNihlkgfQnW4aiFS1SzIkVGV6phayUTLQa7CZXFFNTo/l+ThnNI4nFkk0ZG0q7ZppDGUIyF5pNrgEFVVVdi1axemTZtmX2Y0GjFq1Chs2bJFsvNUVlaisrKuk2VRUc1DbTabYTar3MyKn1M1Ib+kQv24QERuqqulm6vIYrHan3Oz2fNxA00LlH6nWCzVHs8X7KvFeuFaVXu5Tv6qrq4Jr9UqTTMmq9Xq9PttNumaR/m6j2LW+xt3zWYz/tqfhe+2pSFLzNxMEpIy3mYVlEl2LMA5bK4jCqqlNi47fXW1SXsdtS4luxAdm8b6vZ9Wr5E/4VKt4JSXlweLxYL4+Hin5fHx8ThyRNzQnGLMnj0bL730ktvy5cuXIzbW/5supZQ0IzTQzUyzhsdbsSFb/uuz9dR5/PJHEmKcngYOOEmkto0bN0KqZ/GLjanobamZbLaiGh6Pm5SUFNA5k5KSUGL2fFyprVq1Cg3t0yw5n7OsrBTB1CGcOHECSebjyCh1P3agNm7ciNMNgLNnpHnvnTlzBklJdf2R8vOle5/WxIFa7r+/br3nOLQ3xwBA/LxDSUlJeGyLOu+dDxcloaTcBCnqnVZv2g5/frcvjvciL08beab169fhaD3g/Lm6a3YyrxSfLE5Cx4ZAOOQfHvhyPf7d1Qp/f6vzs6UdZWXiC/whf3enTZuGqVOn2v8uKipC+/btMWbMGMTFxakYMuDoyhQsP+t9WFJHz13bDa/9rfxkfWoZe3kvbPjd84zpUortPADjLqkrxD+6Zbki5yUiz4YNG4a392+V7HiJiYkAaiaIfWbHGo/bBPL8JyYm4lxpFZ7fuTaYIIq2sbwtJlzSDsO6NHMLb/369ZFbEfiX/85dOiNxVFcczSrGG/ukaQHSqddAjO7ZEht+PYhtuWeDPl69xi2RmHip/e8fsnbgeNF5L3uIVxtPAOF3Qe16T/HE1HEAesdX44cT4idxDjTeSeGDg9JlBb9Nka7QBDjfi59yd+Foofr9ikeMuBKdW9THd5k7cKK4Ls59cCgSh18aHRb5h3pxjbGsIBKAf/ej9n5arTa8uzIFl3ZsjKu7tZAhhP6pbY0mhmoFp+bNm8NkMiE723lYzuzsbEkHfoiOjhbsDxUZGYnISGlmRQ+UyeTfl5P/XNklrApOJpO0CbA3Dy/ai9TXr1PsfETkm8kk7SuqNs2PsPjeJpBjR0QoN5rW0oPZWHowWzDdMgTZ98JkNEn+jnzwh2Skvn4dTEZpagzWHc9zCp/BIF1NhK/f7Wv9lEV78ey13f0658tJ4fNu94fjtTZKFHeCFRERgcjISLfnrNpqUz1fqRSDwYiTef5PtF17fX5PPotPN5wCNkATeS9/7ptqsTAqKgoDBgzAqlWr7MusVitWrVqFIUOGqBUsIiIigrYHh9C6Yj+nqvhmy2mZQqJvVdUaHtpbG12udEntefWCoWpTvalTp+Luu+/GwIEDMWjQIMyZMwelpaWYNGkSAGDixIlo27YtZs+eDaBmQIlDhw7Z/3327FkkJyejQYMG6NKli2q/g4iIQoOn4Zr1JNhR9cJpBELStm2n8jG8a01TLu2UuWuej/zSSh/bha6z58sRadLOHVGSqgWnCRMmIDc3F9OnT0dWVhb69euHpUuX2geMSEtLc6qazcjIQP/+/e1/v/3223j77bdx5ZVXYu3atUoHn2R2WUITtYNARCpSIwO/+ojwPIIkjXCpceKgudLQ8rxfFzVvgBO5/jdXCwXFFWY0rR+ldjBUofrgEFOmTMGUKVME17kWhhISEkJq5mt/fsrSx4bLFxCN6tKS81wRhTM1kvuyKumG4FZLsH2c5KXlsEkndHIq6nKMyrFRyvV7FqNf+0ZYeTjb94YhyAYgU8fN7YKhjZ525FP3VjUjAK59cqS6ASEiUggzn4E5FUCnbaVoukxHmuMYXQZ01FYrFG1/oJCXpvueyYwFJ51JaF5f7SAQEZFG6K1PVrhkNfedKVA7CCFHKwWVD1fXzAdn1Eh4SFksOBG5CKXmoER6xmfRt4XbOBoboL0BLTalqD/fUCgoqjCjsMy/EQrl9ntyBgDWngajtLKuSXR+ib4G2WDBichBVbUV4+ZsUDsYFEYaRqve1ZQcBPpVu6raqkrtz4u/i59kVaxzpfJlVJnZJH/897vd6DtrOaot2msalpJTonYQdMvi8FGsWme15iw4kab1aB2n6Pk2peThaHaxouek8Lbs8RF445beageDgnTxC3/jyrfWqh0MSfywPU22Y0s5SpoWM9MkjwWbU/H2Mm1NEmzVWYafpMGCE2makh8nLVZb+DTAJ81o07geJlzWQe1gaNLTS/apHQS/lJstagdB86SscWK2NXy88tdhzT1fLeNi1A4CqYAFJ6ILft59BhFGlpyItOI4m8KQF+wCR2pq25gFJ3+lXhjxM7OgbihzvT3HLDjp0Nf/N0jtIEiuRcNotYOAtPwymNgAn4iIiHwQ6g9ZobFaMa35LfksAOBsQbl9mdYGdvGFBScVBRpZrry4hcQhUV+USTgqPj76YsXCUFpVDSNrnIiIZCNlCjtv3QkJj1Znb3oBHvhuF07na3c+LFKf0HfWWz7ZrHxASFEczok0bXTPeOx6YRQGvLJS9nMdPFuExN6tZT9PKIuNMqGsil/cSL/46aSOHE1opJyL590Vx5B2rgzDuzaX7JgAcOPcTQC0PZEwqU9ooJODGUUqhISUxBonDbquT2u0bVxP7WBoRrMG0bipf1vZz2O12VBUrq35IvRmvAL3SY+aN4hSOwjkQG9t6smzJbvO4NFFybIcmwUn8qSw3Aw2UPFf7UCEjt9P9JYes+CkQXPvvBSbnr1a7WBoihITYVZZrLj3652ynyeU6S0BVMqvDw4NaL9tz10jcUiI1CVXN9LKaumHJpfjmBQaJs7fzjnJArB4R81UB0aHi6e3bAMLTqQJRj9j4j1XJEgehvRzZZIfkwgAWsYFNvhJA06Oq7gMh07LpB8nc5WtHeIcPuFtb3qBpHOShYvsokoA+p4ImwUnHfi/oRepHQTZ1Y/yL4P4XGIPycNwvozN9IJnw0NXdXZa8s4/+6oUFn35RmC0zPosOClu9t9H1A5CSJOrVlqJVgmOjuVwovRwp+fMPwWOBScduLFfG7WDILs2fvbpiopg1NWqRvUinf6+ZUA7jOkZr1Jo9GNECI6WSfpVUlkty3HPnA+Nmn0La5zCnpQDnYQbx9o6pT96BIu5TyKSlJEvEzcR/rZFJVLZ3fO3y3LcSA9TTxDpDd900tBZuYkFJ71qFRdaM1Zf1Ly+6G37tmskY0goGA2iIzDhsvZqB0NzTEYDXr2pl9rBIBJt1+nzshxXb60FYqNMbsuOZHHIaWJTvWDo+drpKwULMcGUsr+fPBgju+mvaU8nDwWkx0dfjLuHdMRdgzv4PMai/wyROlgkkX/0bYuGMZG+NwxDvduywE+kt9pXoRqyD1elICWnRIXQkJboOfNPgdNXCkZ2nVs0wPsT+qsdDL95SmgaREfgpRt74bKEpj6PUe/CF8DXbuotZdBIAiYPE1twYmHSgh93pKsdhLAnV2ZTydY+f+3PlG3uKNIPjqoXOMf+YVadtdVjwUkHGsYIj6wVHRnet+9OEbVTpCybS/Zl8EU1BeFwGOCEtO+D1cfVDgLJRV95LwoBrHEKnOOl01m5iQUnLXvnn33xfGIPdGrRQHB9TKR722utC3QUmks7NpE4JKSE2nmIwm30oc/+PcBtmdDXyZv6t/V4jPoXalaHdmkmXcDCXJhFQ02S6xYUyzQKYKSJkYZITjorN4GThGjYLQPa+dxm2WMjMHbOegVCI73WjWKQWVghats7B3VApMlor8Go9c8B7fDTrjNyBI98aN+0HtLPOU8W6vrlKBwzqq/f3BtjLmnldZtlj41ASWW1W7+nWy5th59318TnpY+NkC2MwfDnudUajvioPr3dgsGdmuGvfZlqB4M06FAmBwkJlGM6oLfhyFlw0rlurRqqHQS/XBzfwN6pdvBFTfFbcobT+l5t4wT3izAZcccg96Z5b/2zL+pHR2DB5lTJw0resX23MDGvAE/P7eybe+O2ge1waccmsg/b/OYtfdCjdRxu+GijX/vp7B3nhDHWP1XVVrWDoLoID/02iT5dd1LtIOjSiDfXwGypS1v0NiUam+qRol6+sW5I5nuGXoQ3bumN9U9dZV/WpWVD/PzAFdjw9FVCuwu6bSCHv9YqxyaWr4wPr+G4a5v4tGwYLXqfqAgjBndqpshcN5d2bILeYTa0v9misze0yu7/dqfkx9TbBxfWUhJJK+1cmVOrBb3VOLHgRIpq1qAuExlhNGDCZR3QoVms0zYDOjZB+6axrrt61K5pPcnCR9JY9cSVmHlDT9w3rJN92b8u76hiiJRTm8369cGhGNUjHt/dNxgA0L11Q7RpFIO+7RurFjZn+npZSeFsQbnvjcguQ6dNMqXEchMROWJTPRV9vy1N7SAQ4ab+bfHrnrN+7+ctQ9G5RQN09jCoSbjo1bYRvrh7oP3vSJMR65++SvdfsDs0jUVWkc4z1OFXZqQARetswl4ib24b2A4/7tRWv3C9JcdMEVRUWG52W9a8QZQKIaFwdk2PlgHtp+/svzoiTEYY/ewzIVcrhkCPq7P5SwVN/TFZ7SCEJYvVprsanOgI/Y1eS+TJm7f2VTsIbjiPE4k27druagdBVVK9QKMc+oM8My68r2mgHr2mq+ByoWG1KTRo6VXVXcFBbkorq7HqSI5i56M6nZ9LwiJOQkykWV9MHOh7I4lZdTYGDQtOKrr/ys5uNUxqF7zlLMzV9u24bWA7jLi4BXq0Eh5Bz18xkSZ8cEd/vDehLx4Y2VmSY4abx0dfLLh8zCWtcGp2ouA6obmZ1I6/UglmJC29XAJf96pdk3p4bFRXXNqhsdtcNs3qS1sz/u29gyU9njcbU/IUOxcRkdYs+s/lagfBiU03b80aLDipLD7OecSt/xt2kSTHbSFiJK9v7x0kybnE6Ne+MX554AoANVXF3/zfIL+bLHnzj75tcFN/3/Nekf88TV6rt5Fw/HHf8E6+N/IgVC7LxmeuxmOjLsYvDw7F8VfrCs82G/DbQ0NVDFlw7v92l9pBICJSzeWdmmHOhH5qB0O3WHDSmF5tpRke+P4RvjN+w7u2cFs2tEtzSc4PAOP7tbH/+/o+rWHifBiyaxDt/3gvMSLa8N812H0OLYPBgOt6t3Za1qVlaAwIMb5/G98b6Zy3r3ytG8V43beJxDVOeuv3QuGDcwRSKIqJ1E7fPb19bGTBKUR5mgfG11w6ngpugxKa+h2GObf3t//bU60FSatlnPg5g/wh1HkzwmhAH4d5gA7PGod6Ud4T45Hd3AvrWuRtrhnHDwKC+4ZAVO/fobHX9YEU0H3Z/OzV+FyF9vVERABwQ9+atP3uIR0VbZGjhovjhT9yRqkwiiQHhyC/JPZqFfQx7ht2Ea7q1sLekX90z3jB7Q68NBYXxwfWCbt/x8aBBo80TkySVS0wceglbZz7qPkqNAEIOP5pSeNY77UtOnsHOPnflGF46KrOeO2m3j63rS/ifrtq0ygGa54c6bbcAKBN43oe065AdWwmfj64UNfBj7nxiMLRW7f2wQ+TL8cL1/cUbJETSjp5mC5kaJfmuErhD5x6e2ey4KSy/7uiIyZ3t9j/DmQ48heu74mvJg3CmEta4cjL4/D5xIG4sV8b1I8yoa9DjYABgfdLiYuJDGg/x3MrpanEzYj0ZLKHvjlXd/c85LiYFpRNBeJlIM1Kp1zdxe999EZM/0J/PH1hpEipB2RwTQou79QUvds1wlNjuwsWDh+5cO+eS+wBwHcBUkh0pAkXNa/vf2AD1LWlPgvq38kwWAZbShN5FxNpwpDOzTy22Al1/Ts0hslowFeTlK1t01m5iQUntUWYjOjVxIZP7uyHmTf0xCVtguvjVNtutXFsFJJnjMFHd15qX6dmE6LOCvZ9+TRMh9BuEB2BWwcID5Dx8V2X2kc1dDXi4pqvS10v3KN/Xe7en+mhq4QLPI1j/StQx8VE4tTsRHRqUZd5fnpcN7+OoQU7nh+FFY+PEFwn9dDa/do3xpGXx2HO7f0kPW6tJf8dgolDOuIzH83kpo7phuOvXmuPR9MS/R+B09OHG8f29mMvkabWaeF9g/HaTd6bJgfr8VHCo1EGa1jX5pKPfBWumUHSpn96eFcBwJu39FEwJFTLcdJ6Jd/LbKpHARnVoyXuGSrNiHq1Ik1GREfW3WKjwaB4yf63h4bi9Zt7Y0RX6Qad8OWyhKY48vI4bHj6Kiz57xC8frPvZkehoHPLBjB6KB3HRJrw0/1D3JbPmdDPnqFa+tgIHJ41Dk+O6YZebePwwnU97NvFxURi/8wxbvvffGk7jO/XBm/eKv5FZzAY7C/GTi3qo2VD7wMRqCXKQ0ZzVI94tGgY7XEgDKlrnICa+1cviM681/Zq5TbVQG0ztoEJTTHrxl6iapUdM9+uA4OI4Zr+XN+nNb6YOBD1HfpMdWwWfI3UmidH4oouzdEyTt649ego4fnPpHB5p2aSHi+ca+JJPT/91/29AwCJvVtj6WPD3UYWBoBBF/nfpzpUDZcw7zRxSEfR2z44UrnWITorN7HgFOpaNozBQ1d1xmOjugqOovKEh/l7hI8lnCH01rywX/vGuH1QB8UHh4iJNKF901gMTGiK2we516BoyZUXS9Oe2GgATEaDx0lroyKMmPevAfjgjrpBOxzjhMloQL0oExrHRuHPh4e7DcndUCBjHWkyYs7t/XHbwPZ+hXVgQlOsfXIkkh4Z7td+Qmbf3BvDJBwNUsjLN15i/3dtBtRTnJZrtKIBHZsEvO8z47qjt0Oz3b3TxyA2KrgBHgJ5pmsLo3PvvBQTh3TE+7f3xyiJ+zUBQNvG9SQ7VqgM2/uYTLVjRN5c5mFgqSsvboHureKw7blRgjVMB14aK3fQfNo/cwx+ffAKbJ12jWph6NnG//kuhZpDL/nvEMy60XsNvKf5HOWnr5ITC05h4Kmx3e0vza4uX8kfvqYr3r2tr6jjeBqRb8l/rwgugAp49Br5vgx7kuCjY/quF0bhpX9cgg9u7+9UmAlUbcF2zCWeBxwZ16sV/tFXG0NtJzSvj5hIU9CFnjsGdcB39w3GjT5Gu/NX7YiB9aNMSHB4EUndFE8sg8GAa7z0VfPGaDA4vZsa+dnEUiq1L/Tr+rTGrBt7CU5RcK0EA+b4w9v97NyiPsb3b+u1tkYvfYcu5QA/pBFGA5zmcbztMvcPb4GO3OnYDDxYDWMi0b9DE7TyMT2D1ILND3QTGIRJqKmuY6uSfTPHBP3Bacu0q/HDfZf5vR9rnEjTmjWIxvqnrsLOF0bZl918aTt8f99gbHr2aq/7tm4k/FAlNK+PPx8eJmk4paZG/64hnb0XCJo1iMbdVySgUWykU2HmjgBryB69RvhrkVzzZw3pLE1TolaNYgIaFMXVW7c6fwBY7qEPkhg22PDRnZfinisS8PuUYRjWpTleu6k3fn7gCqcXvqfmfHJ565/iPnK40tMQ6f07BF6zFghvBacGF2pZP5/oud/kzhdGyzZi3S8PSvdRKlrEfG1a0lCGIe9DjafmsnEx0l07oTn8/DXvX5f63shBUOmVj0x4MDX3SnHMDwz1kY8QcvOlbUVtd9/wTjjy8jjsmzkm6AHAgJo84sCOTTChk8X3xg6sLDiR1nVoFovmDZyb3Q3t0tz+teGHyf53SpZq4t5Q8tI/LsGoHuJrCF4Z3wt3De6AW0Qmeq4aOrwsHQeJWP3ElR736ephLgcxgh3IxFHSI8PRvql/X7uevba705c5x/knmjeIwsXxDbH9+cCbWLRqFIOZ/7gEXVo2gMFgwJ2DO7i9dPfNHKNoDV6g/VTaNZGu6ZqjXQ4fYBx96OGL6cNXy1Pz69ivbGDHJog0ic953TvM82ThtWXkAR2b4tTsRMFtmtaPwvqnrxJ9PgBYLHLgh0s7NPE44Is/Okv4FV4JIy5uga3Pqdc8SmpDuwT+kem9CZ4/ljx7rf8DtPirdlRPIQ1FFtB6tPa/uVmgruvjve/lzw9cgakXmqRpuXC+4/lRSHpkuH3wJn+M7hmPpY8Nx4vX9/S5bUykSZJCk6Mr4v0rCXFwCNK9IZ2b4eb+bd2WRfiRGfEn46KEQBKfYEVFGPHF3eKrrf91eUe8elNvNGsQ/OACb93aB/tnjsGp2YmCne1XTr0SP0y+3GkUHTEcq/al1DIuBisev9KviZb/e2Vnt0JL7Ze22gy63ANPxESa8MEd/fHFhRHp7r/ScyZcDZOHX4S9M8bI1sfQU1y9weW+rHtqJA7PGufUz8rvczkUGnu7fKhxbIr703+H+PV7e7RuKDjwCQCYHI7j65iu/fW8zUk1uFMz/P3ocLwvMFKia9NV1yao/nyMcRXMACNKeuXGXqgfHYGP7hQugP/3ys4BHffvR4PvUxmI7++7HGsF5i8T46b+ngvOnppWPXNtd9w/oiYtejiIKSC6xTdEo3qRuPwi4VoasVMLuL6DfA0AI6af6ASHfrWXtInDrw9egVfG9xL1cebhq7tg1RNX4h2Hbgo39ff+wfKdAGv7A9WiYbS9f9OPAgM7eWMwGNC9VRzuHSbtgGOeRuYV0riec2Hs94eGShoWNbHgRILendAPr93UG01iI/Hl3QNxaYcmgk1aPL3ElRyRRYxLOzTBnw8Pw3aXr5gf3NEfyx8f4ZYRU9NFzevj1Zt64YGRnQP+2mwwGNAwJtJjZq9LywYBNbW7d9hF+GHy5djxvHBNQzBiIk348b9DsHBy4HPYvH1rX6x+4kqn0YNm3uD7q5srT6MTejKqZzz2zRyDadfKU7D0ZM+Lo72uH9qlORpdeIGp1a/pjkEd0LFZfVETJHvz6b8HoHFsJN75Z198ebfz0OkTLmuP6/q0xqs39QqokCg08AngXzNX107cn3sY3v2BkTWZ/h6t45yaP39590B8eEd/fOzSrOlSl6aLniau9OaeKxIAAC9cr2z8DMTMG3qiw4X+odf3aYNNz17tlPlv3iAq4JqWHq3jJB04pJaY90eCQCHj/4ZehA1eaitr459rTfPqJ67EydcSYTQanEagOzU7EZufvRp3De6IZ6/tjrVPjsTU0RcH3C9z6WM1BU3Xyc6Bmj5ID44UX4B1bK7n+vwCwBUX3kcPXdUZ8SJGw3zDYSTX6/q0Rv8OTfCvyzsiKsLo1BVBiMFgQOcWDXCVQ59RX7WybWSIN0BNgc3xg+QUgak/1BplcN1TI53+FhqZ1xPHvmZxMRFo4KV2UmcVTiw4kWd3Du6APdPH4JoeNV9ODQYDfnnwCqfJVB3niXKkxmAMvvRq28hteOJ/9G2Di+Mb4n8a66N11+COeGZcd7z9z75OtX9dW9YUqtRiMBgwpHMzWYbcrnVF5+Y+29V7GiTBaDSgU4sGTpnne4Ze5Pa1a7bAEPWXd2qKVnEx6Bbf0G0QFTGkbu7gSe2Xz/dv74cmPpruOWa4LmnTCE+N7Sb5KHGeRpxa8t8huGtwh4AyuVumXY0vJg506uswMKEp9rw4GrcMaOf2HEeajJh756W4a7D7cLu+MsreClquBSdfGdDaeOk4CqOjF67rgafH1s2P4nj4a3rE44a+bdziUaxLgdPT6Kae/PXIMPzr8prrctfgjmiiUgFaLNdpOdo2ruc0X1btyGBimzu6WvvUSI81jIESGtxAjH4dGqN901jseXE0oiPcs2O10WPbc9fgPxdqkCYNTUCnFg3sfS0///dATL++J7Y/fw0MBoM9g28wGJDQvD4MBgO6CgwWAAB3DPIe7tpn45GrO2NsO6vTur0zxqBdE/F9+8Ze0gpLHxuOIy+PEyz8f3/fYBx75Vo8NbYuvdj4jPcmsE+N7YY+7Rph4pAEp+WuXRFqNXKpBYk0GfHLg1dgylVd3EaRdXV5p8ALL628FARfv6U37hveCRuevgrv394PD18j/NHZsTAoNPhDLU8jJTcP4J3dsVl9e4G2eYNoREUYkfr6dYiJ9F10+Pfguri1+P4hHufwA2r6FOsJC07kl0s7NHHqkOpYpV7btjgqwujUgV5rar98STV5Zb1IEy6Ob+DUbOxuP+ZL8OVlh9EMn7u2O+4a3BHjBEbOU3rkHzm9fGMvLH98BJ5zmGT1xGt1fUwu9bODr2sTg4ua13f7WvrWrX2x9blrsOzxEYoPn++PWwa0w7FXrsWN/WoK1MnTPdc69WnX2Onvh67qgvE+mqT4y1O8G5jQFK/e1NstsyJG60b1MKpnPFJeTcRtA9vZm6oEcl++u2+w10l1vR2xtLLa6e8v76lreivUXOzLey7D/plj8O8LGblVT1yJ+fcMxPFXr0Xy9NG4b3gnp9/Qv0MTXNqhMcZ7GRHSYDDgmQv9TB4b1dVeCBJj23PX4JI2jZzO+ccU4Y9Eqa9fJ/q4joTSIn9tf+4aJDSL9VjIdnyf1BZeBwc4z1WkyYiGMZGS9k28qlsL9BPRjOkZl/5CN1x4ZzapH4Wjr1yLJ8dc7DTQSO1tizQZ8VxiD6S+fh1m3OBcKG8UG4n/G3aR12bJL17fA1d1a+HW7HPK1V3x4/1DkPTIcPzr8g5O/WEdP47FRkUgsb0Vj1/I1K+cOgImowE9W8d5LVA4TuJc23zMUzM8g8Hg1E8VgM+C2UNXdcEfU4YJjsAnNP9RN4EPH5d2aIInx3bz2TwwmHfCbw8NFQzjkE7N7IO2tG8aixv7tfU4iEvzBtHYOu0aJE8fja8mXWYvSLt62OWj9ff3DcbHd10acE3rB3f0x5SruuBXh4Fqjrx8rc/9ru/TGiunXonjr16LHq3j0Km554+RrHEKwNy5c5GQkICYmBgMHjwY27dv97r9Tz/9hO7duyMmJga9e/dGUlKSQiElAGjqYQS018b3xiNXd8FSldqRizWuV2ukvn6d2+SVQvNGTB5+EQZ7qCYf07PmC/HvU4Zi2WMj8MEd/fHnw8Pw7LXdnTplfvN/g9C+aT2nDvOevkgLqR8dgQPTr8GsAdUYdqGT8dy76mr6HhzZGUdeHic43KheGY0GXBzfEPcO64Q3b+2DVU9cCZPRgO/vG4xJQxMCarvt2Acl0mTA0+O6O9XI+NOHT22OGYzGsepPbOqY6X5MwklhTUYD3ry1r2BTlZ8fENds5KLm9fHpvwdiwSTh/oa1+aE/pri3wd97ptDp77aN6+Hka4lY8fgIPDOum9v2gHOzv84tGuDq7vGINBkF75PJaMAvDw7FnNu9Dz/8wMjOODU7EY+NuhgxkSYcf1U44+LaD0Oo837rAD+wjOkZj8OzxmHevy7FB3f0x78u74DRPePxzm19PV5bMa7u3hIt42Kw9qmrvPZd2vD0Vfj5gSucait8TW7er31j7J85BuMuaYW5Lq0jhAppQvMJidGuSSy+/r9BPvv8/NehD+Tk4Re5ZcanXN0V65++yl54GtFVmr65LRvG4KtJg/D+7f2x/blr8PnEgXj/9n5o27geBl3UFD3bxOGV8b3RqUUDfH/fYPRt10jwnj44shNOzU5El5Y1BRCj0YBF/xmC5Y/XvP9OzU7EqdmJ2PD0VTg1O1GSSZzXCPQNEzOA1Ud3XOo2KMVrN3mPL754q+X0NLlsh6axaNUoBvtnjsHCyYPRqUV9/HShSfp39/nXLL1Voxg0jo1Cm8b18Fyic7Pb+LhowTRxaJfmSAxgsvJazRtE48mx3dDeZeRQb304a3Vp2cCeLzEaDYJ9OgH9DQ5hsHmrP1PA4sWLMXHiRMybNw+DBw/GnDlz8NNPP+Ho0aNo2dK9Oc7mzZsxYsQIzJ49G9dffz0WLlyIN954A7t370avXr6bMBUVFaFRo0YoLCxEXJxyI714YjabkZSUhMTERERGarsJRS2bzYbZfx/BJW3i7F+9Q8XKQ9n4fMNJbDt1DkDNF+NOzevjomnuhfMl/x2CgX4MZgAA5VUWpOaX+j3KkFA8qTBbUFhuFtUenGokPPsXgJq22x2b1cfJ3BJc/c46XBzfAMsf9zz6oNatOpyNl/88hNT8MqflgdYiBKLCbMGpvFJ0b9VQsRq7pQey0L5pPVEjPJotVnR9/m+35Y7X6Kmf9uKnXWfsfw++qCkW+9kxWykv/e8gvtqUav970EVNsfg/l6Ow3Ix+s1YAAI69cq3bV3wAKCirsm8DAC8kdsN9I7rg+g834MDZIsHzeYtL1RYrughc21E9WmLl4Ryvv2PhfYNxRYBzuVVWW3DF7NXIL61yWr7xmauwcFsa7r4iwWv6WFZVjUtmLIPNVtN/s/aD1/nSKvR/eYXb9t/dOxj/+nKb23LHa3Pj3E3Ym17gcX1BWRUOZhRhqJffnFlYjl/3nMUdl3Xw2RxXCWrnU8qqqlEv0oQVh7IRGWHEVd3ED5Dy175MPLRwNwDY+4UF40hWEcbN2eC2vPYeT1m4G3/uy7Qv3/D0VW6FDqlc/fZanMwrxQvX9fDZ1FBqG47n4t9fOldypL5+nc+4IpQOf3vvIAyX6CNBoPwpG6hecBo8eDAuu+wyfPTRRwAAq9WK9u3b4+GHH8azzz7rtv2ECRNQWlqKP//8077s8ssvR79+/TBv3jy37SsrK1FZWWn/u6ioCO3bt0deXp5mCk4rVqzA6NGjdVNwCgez/z6KgnIzXr/pEhgMBhSWmzHwtTVO2xx9abRiTRIZT6Sx/ngezpVWeW0apXeVVVWY8+Mq/N8NV6JFI3le2HrV9cXlTn+PvLg5Pv93XU2EzWbDxdPrMszPXdsNk66QrtmtlGw2GzIKK9C2cT17/4HaAuvGlHxEmgwea8sBYN2xXNz37R50a2TFL49cjaioKFRbrOgxc6Xg9sdf9t4v6PS5Mox6b6P97z0vXI0G0RGwWm0oqazGAJf087rerfBCYjeP/VH8sf54Hu79piZz/O2kgUH1R6lltdrQbYZz4enoS6PR75VVKDfX9fd58MpOeHxUXb8Um82GtPPlyC6qwOn8cvRr1yioaR+0QO/vn91pBWgQbcLFXvoG+ePDNSfwweoTTsscn4/Xlx7Fl5tOuy2XWmG5GXvPFGJo52ayzdfoic1mw5NLDuCPC4XEe4d2xLPjuomKK8dzSpD44Wb73+ueGC7b4BtiFRUVoXnz5tovOFVVVSE2NhZLlizB+PHj7cvvvvtuFBQU4Pfff3fbp0OHDpg6dSoee+wx+7IZM2bgt99+w969e922nzlzJl566SW35QsXLkRsLDMVJJ7FBhwuMMBmA7o2siFGHyP7EtEFlRagwgKklxpgsQJ9m7m//vafM+CLoyYMamHFhE5WCFTYhIxqK9x+X5UFeGq7exO/94dUuy0TYrYCQn3Hd+cZcLLIgGGtrDhfZUC3RjZouCssgJq+F4cKDPg+xYhn+lrQSP3KH9KQ7HLgl1NG/LOTFc0dKjYrLcBfaUb0a2ZFJ/W/z8uqsAqoH+Gejvjy7XEjjhcZ8FBPC5rHAGq3lC8rK8Odd94pquCk6uxfeXl5sFgsiI93bisZHx+PI0eOCO6TlZUluH1WVpbg9tOmTcPUqVPtf9fWOI0ZM4Y1TuS3G1Q6L+MJicW4EpxEAM+oHQiFeIor42+o+aKcfr4cBzOKMLZnfNC168LTB2vfdQCeUjsQKmOa4tkkD8tvUjQU2iE2rmgtPSgqEm6iLES70yZLJDo6GtHR7k0BIiMjNZUAaC08pE2MJyQW4wqJ5SmudI6PQud47cxxR+pimkJi6S2u+BNWVRshNG/eHCaTCdnZ2U7Ls7Oz0aqV8BCnrVq18mt7IiIiIiKiYKlacIqKisKAAQOwatUq+zKr1YpVq1ZhyBDhkYyGDBnitD0ArFixwuP2REREREREwVK9qd7UqVNx9913Y+DAgRg0aBDmzJmD0tJSTJpU03J04sSJaNu2LWbPng0AePTRR3HllVfinXfewXXXXYdFixZh586d+Oyzz9T8GUREREREFMJULzhNmDABubm5mD59OrKystCvXz8sXbrUPgBEWloajMa6irErrrgCCxcuxAsvvIDnnnsOXbt2xW+//SZqDiciIiIiIqJAqF5wAoApU6ZgypQpguvWrl3rtuyf//wn/vnPf8ocKiIiIiIiohohPEMFERERERGRNFhwIiIiIiIi8oEFJyIiIiIiIh9YcCIiIiIiIvKBBSciIiIiIiIfWHAiIiIiIiLygQUnIiIiIiIiH1hwIiIiIiIi8oEFJyIiIiIiIh8i1A6A0mw2GwCgqKhI5ZDUMJvNKCsrQ1FRESIjI9UODmkU4wmJxbhCYjGukBiMJySWXuNKbZmgtozgTdgVnIqLiwEA7du3VzkkRERERESkBcXFxWjUqJHXbQw2McWrEGK1WpGRkYGGDRvCYDCoHRwUFRWhffv2SE9PR1xcnNrBIY1iPCGxGFdILMYVEoPxhMTSa1yx2WwoLi5GmzZtYDR678UUdjVORqMR7dq1UzsYbuLi4nQVyUgdjCckFuMKicW4QmIwnpBYeowrvmqaanFwCCIiIiIiIh9YcCIiIiIiIvKBBSeVRUdHY8aMGYiOjlY7KKRhjCckFuMKicW4QmIwnpBY4RBXwm5wCCIiIiIiIn+xxomIiIiIiMgHFpyIiIiIiIh8YMGJiIiIiIjIBxaciIiIiIiIfGDBSUVz585FQkICYmJiMHjwYGzfvl3tIJGE1q9fjxtuuAFt2rSBwWDAb7/95rTeZrNh+vTpaN26NerVq4dRo0bh+PHjTtucO3cOd911F+Li4tC4cWPce++9KCkpcdpm3759GD58OGJiYtC+fXu8+eabbmH56aef0L17d8TExKB3795ISkqS/PdSYGbPno3LLrsMDRs2RMuWLTF+/HgcPXrUaZuKigo89NBDaNasGRo0aIBbbrkF2dnZTtukpaXhuuuuQ2xsLFq2bImnnnoK1dXVTtusXbsWl156KaKjo9GlSxcsWLDALTxMl7Trk08+QZ8+feyTSw4ZMgR///23fT3jCQl5/fXXYTAY8Nhjj9mXMa4QAMycORMGg8Hpv+7du9vXM54IsJEqFi1aZIuKirLNnz/fdvDgQdvkyZNtjRs3tmVnZ6sdNJJIUlKS7fnnn///du4/Jur6jwP4EzgOITp+CB4oHGL8MDBRYBJituIWEJulZY7OX6ArFJelw+zXqL9g6trKFWv9AP8ImRJUCyWZIAVDxBMQhFESQT9ETOOXEpzc6/sH8zMvsFstOej7fGyfjXu/X9y9P/d57rO9dndvKS4uFgBSUlJiMZ+TkyNubm7y+eefS1NTk6xatUoCAwNleHhYqUlMTJSIiAg5ffq0fPvttxIUFCQpKSnKfH9/v2i1WjEYDNLS0iKHDx8WZ2dn+eCDD5SampoacXBwkH379klra6u8/vrr4ujoKM3NzXf9PSDrEhISJC8vT1paWqSxsVEef/xx0el0MjQ0pNSkp6eLv7+/nDx5Us6ePSsPPvigLF++XJm/efOmLFq0SPR6vTQ0NMixY8fEy8tLXnnlFaXmhx9+EBcXF9m1a5e0trbKwYMHxcHBQcrKypQa3pemty+//FJKS0vlu+++k/b2dnn11VfF0dFRWlpaRIQ5oYnOnDkj8+fPl8WLF8vOnTuVcWaFRESysrIkPDxcLl26pBxXrlxR5pmTidg42ciyZcskIyNDeTw2NiZz586V7OxsG66K7pY/N05ms1l8fHxk//79ylhfX584OTnJ4cOHRUSktbVVAEh9fb1Sc/z4cbGzs5NffvlFRETef/998fDwkJGREaXm5ZdfltDQUOXxM888I8nJyRbriYmJkeeff/5fPUf6d/T29goAqaqqEpHxXDg6OsrRo0eVmra2NgEgtbW1IjLepNvb20tPT49Sk5ubKxqNRsnGnj17JDw83OK11q1bJwkJCcpj3pdmHg8PD/noo4+YE5pgcHBQgoODpby8XB5++GGlcWJW6JasrCyJiIiYdI45mRy/qmcDo6OjMBqN0Ov1ypi9vT30ej1qa2ttuDKaKp2dnejp6bHIgJubG2JiYpQM1NbWwt3dHdHR0UqNXq+Hvb096urqlJqVK1dCrVYrNQkJCWhvb8fvv/+u1Nz+OrdqmLXpqb+/HwDg6ekJADAajTCZTBbXcOHChdDpdBZZeeCBB6DVapWahIQEDAwM4MKFC0rNX+WA96WZZWxsDIWFhbh+/TpiY2OZE5ogIyMDycnJE64ns0K3+/777zF37lwsWLAABoMB3d3dAJiTO2HjZAO//fYbxsbGLIIGAFqtFj09PTZaFU2lW9f5rzLQ09ODOXPmWMyrVCp4enpa1Ez2HLe/xp1qmLXpx2w248UXX0RcXBwWLVoEYPz6qdVquLu7W9T+OSv/NAcDAwMYHh7mfWmGaG5uhqurK5ycnJCeno6SkhKEhYUxJ2ShsLAQ586dQ3Z29oQ5ZoVuiYmJQX5+PsrKypCbm4vOzk489NBDGBwcZE7uQGXrBRAR0biMjAy0tLSgurra1kuhaSo0NBSNjY3o7+9HUVERNm3ahKqqKlsvi6aRn376CTt37kR5eTlmzZpl6+XQNJaUlKT8vXjxYsTExCAgIABHjhyBs7OzDVc2ffETJxvw8vKCg4PDhJ1JLl++DB8fHxutiqbSrev8Vxnw8fFBb2+vxfzNmzdx7do1i5rJnuP217hTDbM2vezYsQNfffUVKisr4efnp4z7+PhgdHQUfX19FvV/zso/zYFGo4GzszPvSzOEWq1GUFAQoqKikJ2djYiICLzzzjvMCSmMRiN6e3sRGRkJlUoFlUqFqqoqvPvuu1CpVNBqtcwKTcrd3R0hISG4ePEi7yl3wMbJBtRqNaKionDy5EllzGw24+TJk4iNjbXhymiqBAYGwsfHxyIDAwMDqKurUzIQGxuLvr4+GI1GpaaiogJmsxkxMTFKzTfffAOTyaTUlJeXIzQ0FB4eHkrN7a9zq4ZZmx5EBDt27EBJSQkqKioQGBhoMR8VFQVHR0eLa9je3o7u7m6LrDQ3N1s02uXl5dBoNAgLC1Nq/ioHvC/NTGazGSMjI8wJKeLj49Hc3IzGxkbliI6OhsFgUP5mVmgyQ0ND6OjogK+vL+8pd2Lr3Sn+XxUWFoqTk5Pk5+dLa2urPPfcc+Lu7m6xMwnNbIODg9LQ0CANDQ0CQN5++21paGiQrq4uERnfjtzd3V2++OILOX/+vDzxxBOTbke+dOlSqaurk+rqagkODrbYjryvr0+0Wq1s2LBBWlpapLCwUFxcXCZsR65SqeTAgQPS1tYmWVlZ3I58Gtm2bZu4ubnJqVOnLLaEvXHjhlKTnp4uOp1OKioq5OzZsxIbGyuxsbHK/K0tYR977DFpbGyUsrIy8fb2nnRL2MzMTGlra5P33ntv0i1heV+avvbu3StVVVXS2dkp58+fl71794qdnZ2cOHFCRJgTurPbd9UTYVZo3O7du+XUqVPS2dkpNTU1otfrxcvLS3p7e0WEOZkMGycbOnjwoOh0OlGr1bJs2TI5ffq0rZdE/6LKykoBMOHYtGmTiIxvSf7GG2+IVqsVJycniY+Pl/b2dovnuHr1qqSkpIirq6toNBpJTU2VwcFBi5qmpiZZsWKFODk5ybx58yQnJ2fCWo4cOSIhISGiVqslPDxcSktL79p5098zWUYASF5enlIzPDws27dvFw8PD3FxcZHVq1fLpUuXLJ7nxx9/lKSkJHF2dhYvLy/ZvXu3mEwmi5rKykpZsmSJqNVqWbBggcVr3ML70vSVlpYmAQEBolarxdvbW+Lj45WmSYQ5oTv7c+PErJDI+Lbgvr6+olarZd68ebJu3Tq5ePGiMs+cTGQnImKbz7qIiIiIiIhmBv7GiYiIiIiIyAo2TkRERERERFawcSIiIiIiIrKCjRMREREREZEVbJyIiIiIiIisYONERERERERkBRsnIiIiIiIiK9g4ERERERERWcHGiYiIiIiIyAo2TkRENCNs3rwZdnZ2SE9PnzCXkZEBOzs7bN68eeoXRkRE/xfYOBER0Yzh7++PwsJCDA8PK2N//PEHCgoKoNPpbLgyIiL6r2PjREREM0ZkZCT8/f1RXFysjBUXF0On02Hp0qXK2MjICF544QXMmTMHs2bNwooVK1BfXw8AMJvN8PPzQ25ursVzNzQ0wN7eHl1dXQCAvr4+bN26Fd7e3tBoNHj00UfR1NSk1Dc1NeGRRx7BvffeC41Gg6ioKJw9e/Zunj4REdkQGyciIppR0tLSkJeXpzz+5JNPkJqaalGzZ88efPbZZzh06BDOnTuHoKAgJCQk4Nq1a7C3t0dKSgoKCgos/ufTTz9FXFwcAgICAABr165Fb28vjh8/DqPRiMjISMTHx+PatWsAAIPBAD8/P9TX18NoNGLv3r1wdHS8y2dPRES2wsaJiIhmlPXr16O6uhpdXV3o6upCTU0N1q9fr8xfv34dubm52L9/P5KSkhAWFoYPP/wQzs7O+PjjjwGMNz01NTXo7u4GMP4pVGFhIQwGAwCguroaZ86cwdGjRxEdHY3g4GAcOHAA7u7uKCoqAgB0d3dDr9dj4cKFCA4Oxtq1axERETHF7wYREU0VNk5ERDSjeHt7Izk5Gfn5+cjLy0NycjK8vLyU+Y6ODphMJsTFxSljjo6OWLZsGdra2gAAS5Yswf3336986lRVVYXe3l6sXbsWwPjX8IaGhjB79my4uroqR2dnJzo6OgAAu3btwtatW6HX65GTk6OMExHRfxMbJyIimnHS0tKQn5+PQ4cOIS0t7R89h8FgUBqngoICJCYmYvbs2QCAoaEh+Pr6orGx0eJob29HZmYmAODNN9/EhQsXkJycjIqKCoSFhaGkpOTfOUEiIpp22DgREdGMk5iYiNHRUZhMJiQkJFjM3XfffVCr1aipqVHGTCYT6uvrERYWpow9++yzaGlpgdFoRFFRkfI1PWB8E4qenh6oVCoEBQVZHLd/uhUSEoKXXnoJJ06cwJo1ayx+e0VERP8tKlsvgIiI6O9ycHBQvnbn4OBgMXfPPfdg27ZtyMzMhKenJ3Q6Hfbt24cbN25gy5YtSt38+fOxfPlybNmyBWNjY1i1apUyp9frERsbiyeffBL79u1DSEgIfv31V5SWlmL16tUIDw9HZmYmnn76aQQGBuLnn39GfX09nnrqqal5A4iIaMqxcSIiohlJo9HccS4nJwdmsxkbNmzA4OAgoqOj8fXXX8PDw8OizmAwYPv27di4cSOcnZ2VcTs7Oxw7dgyvvfYaUlNTceXKFfj4+GDlypXQarVwcHDA1atXsXHjRly+fBleXl5Ys2YN3nrrrbt2vkREZFt2IiK2XgQREREREdF0xt84ERERERERWcHGiYiIiIiIyAo2TkRERERERFawcSIiIiIiIrKCjRMREREREZEVbJyIiIiIiIisYONERERERERkBRsnIiIiIiIiK9g4ERERERERWcHGiYiIiIiIyAo2TkRERERERFb8D4TGOOC+lgwuAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 1000x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "frog_self_play losses for epoch 2\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "toad_self_play losses for epoch 3\n"
     ]
    },
    {
     "data": {
      "image/png": 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jj2P9+vWa4ComJga5ubl4+OGHAQDz58/HpEmTNM9KdezYEUuWLMG9996LZcuWISAgAAAwfPhwvPnmmybLUq9ePfj5+SEwMBChoaFm95FSqcSyZcs0n/GRRx7BTz/9hIyMDNSpUwfdunXDsGHDsHv3bkyYMAGpqalYs2YNUlNT0axZMwDAW2+9he3bt2PNmjX49NNPzW6PiIiIyJNVqKp7YKkl7I0lNwZXEqjl641zcyMcsm61Wo2C/ALUDaprMHBxLV9vSbZx/vx5hIWF6bQ2DR48GIWFhbh+/Tp69eqFESNGoEePHoiIiMCoUaPwyCOPoH79+mjQoAGeeeYZREREYOTIkQgPD8djjz2Gpk2bmtxWr169NIFV1bbUajUuXryIkJAQTJo0CYMGDcLNmzfRrFkz/PLLLxg3bhyCg4MBAKdOncLp06fxyy+/aNYhCALUajWSkpI0wV3//v0l2T8AEBgYqAmsACAkJARt2rRBnTp1dKZlZmYCqOz6qFKp0KlTJ531lJWVoWHDhpKVi4iIiIhcB4MrCSgUCkm65xmjVqtR4eeNQD8fg+DKWby9vREdHY2DBw8iKioK33zzDT744AMcPnwYbdu2xZo1a/Daa69h+/bt2LhxIz788ENER0dj0KBBNm3vzjvvRPv27bFhwwa89NJL2Lx5M9auXauZX1hYiBdeeAGvvfaawXtbtWql+Vs7gLOXr6+vzmuFQmF0mlqt1pTR29sbx44dg7e3bhCsHZARERERkedgcEXo2rUr/vzzTwiCoGm9OnDgAOrWrYsWLVoAqAwcBg8ejMGDB2PmzJlo3bo1Nm/ejOnTpwMA+vTpgz59+mDGjBkICwvD+vXrjQZXXbt2xdq1a1FUVKQJfg4cOAAvLy907txZs9ykSZPwyy+/oEWLFvDy8sK4ceM08/r27Ytz586hQ4cOdn92Pz8/nSQUUunTpw9UKhUyMzNx9913S75+IiIiInI9zBZYg+Tl5eHkyZM6/65du4aXX34Z165dw6uvvooLFy5g69atmDVrFqZPnw4vLy8cPnwYn376KeLj45GamopNmzYhKysLXbt2RVJSEmbMmIG4uDikpKQgKioKiYmJJp+7mjRpEgICAjB58mQkJCRg9+7dePXVV/HUU08hJCREZ7njx4/jk08+wSOPPAJ/f3/NvHfffRcHDx7EtGnTcPLkSSQmJmLr1q2YNm2a6H3Spk0bHD58GMnJycjOzta0PNmrU6dOmDRpEp5++mls2rQJSUlJOHLkCObPn49t27ZJsg0iIiIici1suapBYmNj0adPH51pzz77LFauXInIyEi8/fbb6NWrFxo0aIBnn30WH374IQAgKCgIe/fuxeLFi5Gfn4/WrVvjyy+/xJgxY5CRkYELFy5g3bp1yMnJQdOmTfHKK6/ghRdeMFqGwMBA7NixA6+//jruvPNOBAYG4uGHH8aiRYt0luvQoQMGDBiAI0eOYPHixTrzevbsiT179uCDDz7A3XffDUEQ0L59e02WPjHeeustTJ48Gd26dUNJSQmSkpJEr8OUNWvWYN68eXjzzTdx48YNNGrUCIMGDcJ//vMfybZBRERE5O48KJ8FFIKUgyV5iPz8fNSrVw95eXkICgrSmVdaWoqkpCS0bdtWk5XOkdRqNfLz8xEUFCTbM1fkHFLVLaVSicjISIwdO9bguTAifawvJBbrDInB+kKmpOeVYtD8GADAqVmjUK+Wr8vWF3OxgT5erRMRERERkVOZGBLV7TG4IiIiIiIikgCDKyIiIiIiIgkwuCIiIiIiIpIAgysbMQ8ISY11ioiIiMi9MbgSqSpzSXFxscwlIU9TXl4OAPD29pa5JERERERO5EH3lznOlUje3t4IDg5GZmYmgMpxmxQOTHeiVqtRXl6O0tJSpmL3YGq1GllZWQgMDISPD7+WRERERO6IV3E2CA0NBQBNgOVIgiCgpKQEtWrVcmgQR/Lz8vJCq1ateJyJiIjI43nq1Q6DKxsoFAo0bdoUTZo0gVKpdOi2lEol9u7di3vuucelBlMj6fn5+bF1koiIiMiNMbiyg7e3t8Ofj/H29kZFRQUCAgIYXBERERERuTDeJiciIiIiIpIAgysiIiIiInIqD0oQqIPBFRERERERkQQYXBEREREREUmAwRURERERETmVp6ZiZ3BFREREREQkAVmDq7179+K+++5Ds2bNoFAosGXLFrPLP/PMM1AoFAb/unfvrllm9uzZBvO7dOni4E9CREREREQ1nazBVVFREXr16oWlS5datfzXX3+NtLQ0zb9r166hQYMGePTRR3WW6969u85y+/fvd0TxiYiIiIjIToIH5Q6UdRDhMWPGYMyYMVYvX69ePdSrV0/zesuWLbh9+zamTJmis5yPjw9CQ0OtXm9ZWRnKyso0r/Pz8wEASqUSSqXS6vU4QtX25S4HuQ/WGRKD9YXEYp0hMVhfyBRlRUX138oKKJUKl60vYsoja3Blr1WrViE8PBytW7fWmZ6YmIhmzZohICAAYWFhmD9/Plq1amVyPfPnz8ecOXMMpkdFRSEwMFDyctsiOjpa7iKQm2GdITFYX0gs1hkSg/WF9OWVA1WhSHR0NGr7Vs9ztfpSXFxs9bIKQRBcoh1OoVBg8+bNGD9+vFXL37x5E61atcL69evx2GOPaab/888/KCwsROfOnZGWloY5c+bgxo0bSEhIQN26dY2uy1jLVcuWLZGdnY2goCC7Ppe9lEoloqOjMXLkSPj6+lp+A9V4rDMkBusLicU6Q2KwvpApmQVlGLxwDwDg6IxhCA70ddn6kp+fj0aNGiEvL89ibOC2LVfr1q1DcHCwQTCm3c2wZ8+eGDhwIFq3bo3ffvsNzz77rNF1+fv7w9/f32C6r6+vyxxYVyoLuQfWGRKD9YXEYp0hMVhfSJ+vr0rrbx+d+uFq9UVMWdwyFbsgCFi9ejWeeuop+Pn5mV02ODgYnTp1wuXLl51UOiIiIiIiqoncMrjas2cPLl++bLIlSlthYSGuXLmCpk2bOqFkRERERERUU8kaXBUWFuLkyZM4efIkACApKQknT55EamoqAGDGjBl4+umnDd63atUqDBw4EHfccYfBvLfeegt79uxBcnIyDh48iAcffBDe3t6YOHGiQz8LERERERGJ5xoZIKQh6zNX8fHxGDZsmOb19OnTAQCTJ0/G2rVrkZaWpgm0quTl5eHPP//E119/bXSd169fx8SJE5GTk4PGjRtjyJAhOHToEBo3buy4D0JERERERDWerMHV0KFDYS5Z4dq1aw2m1atXz2w6xA0bNkhRNCIiIiIiIlHc8pkrIiIiIiIiV8PgioiIiIiInEoBhdxFcAgGV0RERERE5FQCPCiLhRYGV0RERERERBJgcEVERERERCQBBldEREREREQSYHBFREREREQkAQZXREREREREEmBwRURERERETsVU7ERERERERGQSgysiIiIiIpKNJ414xeCKiIiIiIhIAgyuiIiIiIiIJMDgioiIiIiISAIMroiIiIiIiCTA4IqIiIiIiJxK4ZmZ2BlcERERERGRfATBc/IFMrgiIiIiIiKSAIMrIiIiIiIiCTC4IiIiIiIikgCDKyIiIiIiIgkwuCIiIiIiIpIAgysiIiIiIpKNwoPysjO4IiIiIiIi2TAVOxEREREREelgcEVERERERCQBBldEREREREQSYHBFREREREQkAQZXREREREREEmBwRURERERETqWdfN1zcgUyuCIiIiIiIpIEgysiIiIiIiIJMLgiIiIiIiKSAIMrIiIiIiIiCTC4IiIiIiIikoCswdXevXtx3333oVmzZlAoFNiyZYvZ5WNjY6FQKAz+paen6yy3dOlStGnTBgEBARg4cCCOHDniwE9BRERERES2EjwoXaCswVVRURF69eqFpUuXinrfxYsXkZaWpvnXpEkTzbyNGzdi+vTpmDVrFo4fP45evXohIiICmZmZUhefiIiIiIhsoFAoLC/khnzk3PiYMWMwZswY0e9r0qQJgoODjc5btGgRpk6diilTpgAAli9fjm3btmH16tV477337CkuERERERGRSbIGV7bq3bs3ysrKcMcdd2D27NkYPHgwAKC8vBzHjh3DjBkzNMt6eXkhPDwccXFxJtdXVlaGsrIyzev8/HwAgFKphFKpdNCnsE7V9uUuB7kP1hkSg/WFxGKdITFYX8gU7TpRUaGEUunlsvVFTHncKrhq2rQpli9fjv79+6OsrAwrV67E0KFDcfjwYfTt2xfZ2dlQqVQICQnReV9ISAguXLhgcr3z58/HnDlzDKZHRUUhMDBQ8s9hi+joaLmLQG6GdYbEYH0hsVhnSAzWF9JXqASqQpGdO2MQ5Fc9z9XqS3FxsdXLulVw1blzZ3Tu3Fnz+q677sKVK1fw1Vdf4aeffrJ5vTNmzMD06dM1r/Pz89GyZUuMGjUKQUFBdpXZXkqlEtHR0Rg5ciR8fX1lLQu5B9YZEoP1hcRinSExWF/IlFtF5fggPhYAEB4+Ao3q+Ltsfanq1WYNtwqujBkwYAD2798PAGjUqBG8vb2RkZGhs0xGRgZCQ0NNrsPf3x/+/v4G0319fV3mwLpSWcg9sM6QGKwvJBbrDInB+kL6fH2rUwT6+OjWD1erL2LK4vbjXJ08eRJNmzYFAPj5+aFfv36IiYnRzFer1YiJiUFYWJhcRSQiIiIiohpA1parwsJCXL58WfM6KSkJJ0+eRIMGDdCqVSvMmDEDN27cwI8//ggAWLx4Mdq2bYvu3bujtLQUK1euxK5duxAVFaVZx/Tp0zF58mT0798fAwYMwOLFi1FUVKTJHkhEREREROQIsgZX8fHxGDZsmOZ11XNPkydPxtq1a5GWlobU1FTN/PLycrz55pu4ceMGAgMD0bNnT+zcuVNnHRMmTEBWVhZmzpyJ9PR09O7dG9u3bzdIckFERERERPIT4DmjCMsaXA0dOhSCmSGZ165dq/P6nXfewTvvvGNxvdOmTcO0adPsLR4RERERETmAZw4h7AHPXBEREREREbkCBldEREREREQSYHBFREREREQkAQZXREREREQkH8/JZ8HgioiIiIiInEvhoRktGFwRERERERFJgMEVERERERGRBBhcERERERGRbDzokSsGV0RERERERFJgcEVERERERCQBBldEREREREQSYHBFREREREQkAQZXREREREQkG8GDMlowuCIiIiIiIqfypIBKG4MrIiIiIiKSjUIhdwmkw+CKiIiIiIhIAgyuiIiIiIhINp7URZDBFRERERERkQQYXBEREREREUmAwRUREREREZEEGFwREREREZFsBHjOQ1cMroiIiIiIiCTA4IqIiIiIiEgCDK6IiIiIiIgkwOCKiIiIiIhIAgyuiIiIiIhINhxEmIiIiIiIiHQwuCIiIiIiIpIAgysiIiIiIiIJMLgiIiIiIiLZeNAjVwyuiIiIiIiIpMDgioiIiIiISAIMroiIiIiIyKk8qSugNgZXREREREQkG4XcBZAQgysiIiIiIpKNJ7ViyRpc7d27F/fddx+aNWsGhUKBLVu2mF1+06ZNGDlyJBo3boygoCCEhYVhx44dOsvMnj0bCoVC51+XLl0c+CmIiIiIiIhkDq6KiorQq1cvLF261Krl9+7di5EjRyIyMhLHjh3DsGHDcN999+HEiRM6y3Xv3h1paWmaf/v373dE8YmIiIiIiDR85Nz4mDFjMGbMGKuXX7x4sc7rTz/9FFu3bsX//vc/9OnTRzPdx8cHoaGhUhWTiIiIiIjIIlmDK3up1WoUFBSgQYMGOtMTExPRrFkzBAQEICwsDPPnz0erVq1MrqesrAxlZWWa1/n5+QAApVIJpVLpmMJbqWr7cpeD3AfrDInB+kJisc6QGKwvZIp2nai85vZx2foipjwKQRBc4hkyhUKBzZs3Y/z48Va/Z+HChViwYAEuXLiAJk2aAAD++ecfFBYWonPnzkhLS8OcOXNw48YNJCQkoG7dukbXM3v2bMyZM8dg+vr16xEYGGjT5yEiIiIiIuMKlcAH8ZXtPLP6VqCBv8wFMqO4uBhPPPEE8vLyEBQUZHZZtw2u1q9fj6lTp2Lr1q0IDw83uVxubi5at26NRYsW4dlnnzW6jLGWq5YtWyI7O9viDnQ0pVKJ6OhojBw5Er6+vrKWhdwD6wyJwfpCYrHOkBisL2TKraJyDFwQCwCIffNuNA+u5bL1JT8/H40aNbIquHLLboEbNmzAc889h99//91sYAUAwcHB6NSpEy5fvmxyGX9/f/j7G4bLvr6+LnNgXaks5B5YZ0gM1hcSi3WGxGB9IX2+vtXtOz4+Pjr1w9Xqi5iyuN04V7/++iumTJmCX3/9FePGjbO4fGFhIa5cuYKmTZs6oXRERERERFRTydpyVVhYqNOilJSUhJMnT6JBgwZo1aoVZsyYgRs3buDHH38EUNkVcPLkyfj6668xcOBApKenAwBq1aqFevXqAQDeeust3HfffWjdujVu3ryJWbNmwdvbGxMnTnT+ByQiIiIiIrNc4yElacjachUfH48+ffpo0qhPnz4dffr0wcyZMwEAaWlpSE1N1Sz//fffo6KiAq+88gqaNm2q+ff6669rlrl+/TomTpyIzp0747HHHkPDhg1x6NAhNG7c2LkfjoiIiIiIahRZW66GDh0Kc/k01q5dq/M6NjbW4jo3bNhgZ6mIiIiIiIjEc7tnroiIiIiIiFwRgysiIiIiIiIJMLgiIiIiIiKSAIMrIiIiIiIiCTC4IiIiIiIikgCDKyIiIiIicipzGcPdGYMrIiIiIiIiCTC4IiIiIiIikgCDKyIiIiIiIgkwuCIiIiIiIpIAgysiIiIiIpKNJ+W2YHBFREREREQkAQZXREREREREEmBwRUREREREJAEGV0REREREJBsBnvPQFYMrIiIiIiKSXGFZBRZuv4CzN/PkLorTMLgiIiIiIiLJLdx+Ad/FXsG4JfvlLorTMLgiIiIiIiLJnb2ZL3cRnI7BFRERERERkQQYXBERERERkeRyCsusWo6DCBMREREREZmRnFMsdxGcjsEVERERERGRBBhcERERERERSYDBFRERERERycaDHrlicEVEREQkp60nb+CHvVflLgaRU3lSQKXNR+4CEBEREdVkr284CQAY1qUxOjSpK29hiMgubLkiIiIicgF5JUq5i0BEdmJwRUREREREJAEGV0REREREJBvBg0YRZnBFREREREQkAQZXREREREREEmBwRUREREREJAEGV0REREREJBvPeeKKwRUREREREZEkGFwRERERERFJQNbgau/evbjvvvvQrFkzKBQKbNmyxeJ7YmNj0bdvX/j7+6NDhw5Yu3atwTJLly5FmzZtEBAQgIEDB+LIkSPSF56IiIiIiEiLrMFVUVERevXqhaVLl1q1fFJSEsaNG4dhw4bh5MmTeOONN/Dcc89hx44dmmU2btyI6dOnY9asWTh+/Dh69eqFiIgIZGZmOupjEBEREUlAIXcBiGRRXqGWuwiSsSm4unbtGq5fv655feTIEbzxxhv4/vvvRa1nzJgxmDdvHh588EGrll++fDnatm2LL7/8El27dsW0adPwyCOP4KuvvtIss2jRIkydOhVTpkxBt27dsHz5cgQGBmL16tWiykZERERERI63/nCq3EWQjI8tb3riiSfw/PPP46mnnkJ6ejpGjhyJ7t2745dffkF6ejpmzpwpdTkBAHFxcQgPD9eZFhERgTfeeAMAUF5ejmPHjmHGjBma+V5eXggPD0dcXJzJ9ZaVlaGsrEzzOj8/HwCgVCqhVCol/ATiVW1f7nKQ+2CdITFYX0gs1hnHUVVUeNx+ZX2hKvp1oELr9U+HUjBzXGeXrS9iymNTcJWQkIABAwYAAH777TfccccdOHDgAKKiovDiiy86LLhKT09HSEiIzrSQkBDk5+ejpKQEt2/fhkqlMrrMhQsXTK53/vz5mDNnjsH0qKgoBAYGSlN4O0VHR8tdBHIzrDMkBusLicU6I6XKy7GDcQeRliBzURyE9aWmqg41IiMjdeYUKE3Pd7X6UlxcbPWyNgVXSqUS/v7+AICdO3fi/vvvBwB06dIFaWlptqxSVjNmzMD06dM1r/Pz89GyZUuMGjUKQUFBMpascl9HR0dj5MiR8PX1lbUs5B5YZ0gM1hcSi3VGeq/HRQEA7gq7C31aBctbGImxvtRsVXUbAMaOHaszL6ewDB/G79GZ76r1papXmzVsCq66d++O5cuXY9y4cYiOjsbHH38MALh58yYaNmxoyyqtEhoaioyMDJ1pGRkZCAoKQq1ateDt7Q1vb2+jy4SGhppcr7+/vyZY1Obr6+syB9aVykLugXWGxGB9IbFYZ6Tn7ePjsfuU9YX0j7+Pr9rkfFerL2LKYlNCi88++wwrVqzA0KFDMXHiRPTq1QsA8Ndff2m6CzpCWFgYYmJidKZFR0cjLCwMAODn54d+/frpLKNWqxETE6NZhoiIiMhVfBl1Ue4iEJGEbGq5Gjp0KLKzs5Gfn4/69etrpj///POinlEqLCzE5cuXNa+TkpJw8uRJNGjQAK1atcKMGTNw48YN/PjjjwCAF198Ed9++y3eeecd/Pe//8WuXbvw22+/Ydu2bZp1TJ8+HZMnT0b//v0xYMAALF68GEVFRZgyZYotH5WIiIjIYb7ZddnyQkQeSBDkLoFj2BRclZSUQBAETWCVkpKCzZs3o2vXroiIiLB6PfHx8Rg2bJjmddVzT5MnT8batWuRlpaG1NTq1Ixt27bFtm3b8H//93/4+uuv0aJFC6xcuVJnmxMmTEBWVhZmzpyJ9PR09O7dG9u3bzdIckFERERERCQlm4KrBx54AA899BBefPFF5ObmYuDAgfD19UV2djYWLVqEl156yar1DB06FIKZsHXt2rVG33PixAmz6502bRqmTZtmVRmIiIiIiIikYNMzV8ePH8fdd98NAPjjjz8QEhKClJQU/Pjjj1iyZImkBSQiIiIiInIHNgVXxcXFqFu3LoDKsaAeeugheHl5YdCgQUhJSZG0gEREREQ1gUIhdwmIyF42BVcdOnTAli1bcO3aNezYsQOjRo0CAGRmZso+LhQREREREZEcbAquZs6cibfeegtt2rTBgAEDNGnOo6Ki0KdPH0kLSERERERE5A5sSmjxyCOPYMiQIUhLS9OMcQUAI0aMwIMPPihZ4YiIiIiIiNyFTcEVAISGhiI0NBTXr18HALRo0cKhAwgTERERERG5Mpu6BarVasydOxf16tVD69at0bp1awQHB+Pjjz+GWq2WuoxEREREREQuz6aWqw8++ACrVq3CggULMHjwYADA/v37MXv2bJSWluKTTz6RtJBEREREno7JAoncn03B1bp167By5Urcf//9mmk9e/ZE8+bN8fLLLzO4IiIiIiKiGsemboG3bt1Cly5dDKZ36dIFt27dsrtQRERERERE7sam4KpXr1749ttvDaZ/++236Nmzp92FIiIiIqqJyipU2H0hE8XlFVgWewV3L9yFjPxSuYtFRFayqVvgwoULMW7cOOzcuVMzxlVcXByuXbuGyMhISQtIREREVBMoFAp8/Pc5/HwoFcO7NMGuC5kAgK+iL2HBw7x5TeQObGq5uvfee3Hp0iU8+OCDyM3NRW5uLh566CGcPXsWP/30k9RlJCIiIqoRfj6UCgCawAoAKtSCXMUhIpFsHueqWbNmBokrTp06hVWrVuH777+3u2BERERERETuxKaWKyIiIiIiItLF4IqIiIiIiJxKgGd2d2VwRUREREREJAFRz1w99NBDZufn5ubaUxYiIiIiIiK3JSq4qlevnsX5Tz/9tF0FIiIiIqqJbheVG52uYrZAIrchKrhas2aNo8pBREREVKNNWXvU6PTNJ27gqwm9nVsYIrIJn7kiIiIiIiKSAIMrIiIiIiIiCTC4IiIiIiIikgCDKyIiIiIiIgkwuCIiIiIiIpIAgysiIiIiIiIJMLgiIiIiIiKSAIMrIiIiIiIiCTC4IiIiIiIikgCDKyIiIiIiIgkwuCIiIiIisqCwrAJjv96Hr6IvyV0UcmEMroiIiMglCIKAV389gf/beFLuolANEp98CzvPZVhc7pdDKTiXlo+vYxKdUCpyVwyuiIiIyCVkFZThf6duYvOJGygoVcpdHKohHlkeh+d+jMe1W8Vml1Oq1E4qEbkzBldERETkEtRC9d+C6cWIHCIjv1TuIpAHYHBFRERELkdgdEXkcQ5eycYXOy6iQqX22DsoLhFcLV26FG3atEFAQAAGDhyII0eOmFx26NChUCgUBv/GjRunWeaZZ54xmD969GhnfBQiIiKykUIhdwmcS2AESTXMEz8cxre7L+O3+OtyF8VhfOQuwMaNGzF9+nQsX74cAwcOxOLFixEREYGLFy+iSZMmBstv2rQJ5eXlmtc5OTno1asXHn30UZ3lRo8ejTVr1mhe+/v7O+5DEBEREZFHYyxsveV7ruB4ym2T81NuFTmxNM4le3C1aNEiTJ06FVOmTAEALF++HNu2bcPq1avx3nvvGSzfoEEDndcbNmxAYGCgQXDl7++P0NBQxxWciIiIHIcXsuRkNa3l1JEW/HPBYFpytucGVNpkDa7Ky8tx7NgxzJgxQzPNy8sL4eHhiIuLs2odq1atwuOPP47atWvrTI+NjUWTJk1Qv359DB8+HPPmzUPDhg2NrqOsrAxlZWWa1/n5+QAApVIJpVLebEVV25e7HOQ+WGdIDNYXEsuRdaaioqJ6OxVKeHq1FNMt0F2/o+50jqmoUJktp0pdnS1Qf7misgrU9pe9zcKljftmn+ZvtUoNpdb3HdC97na1+iKmPLLWguzsbKhUKoSEhOhMDwkJwYULhhGvviNHjiAhIQGrVq3SmT569Gg89NBDaNu2La5cuYL3338fY8aMQVxcHLy9vQ3WM3/+fMyZM8dgelRUFAIDA0V+KseIjo6WuwjkZlhnSAzWFxLLEXUmrxyoujSJiopGbV/JN+FSKmMr6y7FIiMjHVoWR3Ptc0zlMYiLO4j0BNNLXbquAFB5Hal9PP5K8ULMTS+82EWFrvXZ5FrJsF4Xlak0f1+9ehUxJZd1ltPep65WX4qLzafp1+bWIfaqVavQo0cPDBgwQGf6448/rvm7R48e6NmzJ9q3b4/Y2FiMGDHCYD0zZszA9OnTNa/z8/PRsmVLjBo1CkFBQY77AFZQKpWIjo7GyJEj4evr4b8yJAnWGRKD9YXEcmSdySoow8xjewAAI0eORHCgZ9dJtVrAG4esu4gcO3asg0vjGO5wjnk9LgoAEBZ2F/q2Cja5XFLsVUReuwxA93i8/lHl+3fmBOHNSYMdV1A3UrVPTWnXrh1G3NVa830HKvepq9aXql5t1pA1uGrUqBG8vb2RkaE7KnZGRobF56WKioqwYcMGzJ071+J22rVrh0aNGuHy5ctGgyt/f3+jCS98fX1d5sC6UlnIPbDOkBisLySWI+qMj2/1nW1fXx+Pr5NqtfWtHO6+L9zhHOPjY77OeXtVJ9k2tpxCoXD5z+gqvLy94OujG4Zo7ztXqy9iyiJrKnY/Pz/069cPMTExmmlqtRoxMTEICwsz+97ff/8dZWVlePLJJy1u5/r168jJyUHTpk3tLjMRERE5HjOzkb2Y6t6FefChkX2cq+nTp+OHH37AunXrcP78ebz00ksoKirSZA98+umndRJeVFm1ahXGjx9vkKSisLAQb7/9Ng4dOoTk5GTExMTggQceQIcOHRAREeGUz0RERETiKcB0bSSNo8m30H/eTvx16qbTtmkqXjh3Mx+HruY4rRwkL9mfuZowYQKysrIwc+ZMpKeno3fv3ti+fbsmyUVqaiq8vHRjwIsXL2L//v2IijLsz+nt7Y3Tp09j3bp1yM3NRbNmzTBq1Ch8/PHHHOuKiIiI3J4gCHjnj9NoEuSPtyO6yF0cl/TftUdRUFqB1349gft7NbPqPY5KxT52SWWWvEMzRiC0XoBjNkIuQ/bgCgCmTZuGadOmGZ0XGxtrMK1z584mm3pr1aqFHTt2SFk8IiIicjIP7jWkIeYzLt19GWN7NEXbRrVxMaMAvx+7DgAMrkyw9DxbYkYBmtQNQD0nJk25kVvC4KoGkL1bIBERERHAQVzN+XzHRYz4MhYAUKZUm1+YoDBTmc7dzMfIr/ai/yfi0n3bH/DXhFsGxOCKiIiIXA6TERiqaozxYhRqkbk9tC8xCwCgVElbx1hnCWBwRURE5LYuZRRgUfQlFJZVyF0USTBksI67xFY5hWX4POoSMktk2LgN+8hNdiu5OJd45oqIiIjEG/XVXgCVF7GfPNhD5tJIL69Eibd+P4XxvZtjXE8Op+Ju3vr9FHZfzIK/tzeeedi525YjUDLXFRGoOcMLqKwYv82TdwVbroiIiNzcmRt5chfBLiq1gPIK3eeIBADfxCQi+lwGXll/XJ6COZit3ci0r+FduStafMptAECZyvmhjqVAhxwju7AMvecaZvOuSRhcERERuTkXvr62SsTivbjzk50Gz8DkFJXLVCLniD6XYdP7tMcDc/dj7yhyxFaWAt2acKjWH05FQalndFO2FbsFEhERkawuZxYCABIzCzTTbuaWoKxCJVeRnOKlX2xrkdNpuZKoLMTWLpIGW66IiIjcnOAhl9jaLTL3f3sAkWfSZSyN63KXboFysiVMqtqX2xPS8Z9v9uFKVqG0hSIdnlpzGVwRERERuRGdboEylsMily6caS/+fAwJN/LxfxtPinqfm35ckhiDKyIiIjfHxgv3c9WOVhHdlisJCuOBpOjiV6j37JC9+5rHqmZgcEVEREQuoSY98jL7f+dsfq/2bvKULqFSs6Uq8Zkr+1m7Bz25OyuDKyIiIjfnKdcpNenS9uDlbJvel5FfilGL92peu/Kxl7NojJNILgyuiIiIyDXUoAviCisGWjVm4faLLhlQHU+9jTd/O4XMglLNNHlbJ6or08p9V5FbLH9af09uraFqTMVORETk5njJVnPop6d3lev1h747CADIK1Fi5eT+MpdG17xt57H/cjbWThkg6n0usmvJzbDlioiIiFyCfgIBbXsvZTmxJO5D7SrR1b+uZlufqONYyi0kZhRYXtAG+t0CYy9arj+Objh1rSNFjsLgioiIyM15SnejH/ZdNTnv6dVHnFgS9+GuRz4trwQPL4vDyK/2Wl7YBsYCpVlbE/DhljNWr0OpUktXIKox2C2QiIiIXEJxucryQjWcfjDlcoG1lcVJySl2aDGMJbRYF5cCAHjhnnZWreP67RJxG3WxQ0HyYMsVERERkZty5ev5IjPBsqO74CnMbEGllUxEOzgtUTK4dxZXuycgJQZXRERERG7KXS9S5RxTytQu+zEu2WDaf9cexenrudJs102PlRhMgc/gioiIyO3VhIs2qnQ+LV93gosde2uLY81F+I3cEpufezK3/txipebvsorq9RcYSaiy60Im7v/2AADLAza72KFwaZ4chDG4IiIiIpfgyRdcUrmaVaTz2tIFv7s6fDUHgxfswiPL4yRfd4myOojSDq7EuHbLsc+MkfticEVERETkplyt1dLaBBuW4uiN8dcAAKeu5Rqdn5lfiilrjiDmfIbo9es8j6VVXDH7MqfIcFBiS5/JUwNh0sXgioiIiFyCuSQEZJy7XK4Xlel2ubO3lXL2/85i98UsPLsu3uh8a5/p+vvMTc3fDH5ICgyuiIiI3Jw7XxRqt3SwW6D7M1UTDaebP9iWAu2sgjJri2TWB5sTNH+r7RzW6mp2kfkF3PdrSiIwuCIiIiIip7IUSFucbyk4M98v0Ch3vknhblytO6uUGFwREZHbKiqrwPXbfLDcnS5UCkqVSM8rlbsYHsPVBhFONZHoQT+esdRIabER08IC5gYAzik03uolZleykZVMYXBFRERua9D8GAz5bDeuZhXKXRSyUo/ZURg0PwaZBQywPJG1AYq941zpP8MlRkqO8QDwcNItnQGGSTwxx9XF7gtIhsEVERG5rapxafYlZstcEnm54zXK6Wt5chfBI7jjsQd0W36Mtb5ZukY/ezPf/AJmpJlpOV26+7LJeTdzTbeGWcNdjxWJw+CKiIjcnqt1jSLbWLrnvftCplPKQY6nHTwZ+/rKlTnyl8MpJufd0kq/bkvD2y0j6ds9yeXMQny+46LcxZAdgysiInJ7+tdmF9MLUGhHtyF3Yyy4zCtRYuW+qy7/fJOYuHjK2qOOKwg5lLlgxF1ujdh7D2fdwWSj0wvLKnA5s8C+lbuA9/48LXcRXAKDKyIicnvaFz2HruYgYvFehH+5R74CuYB3/ziNedvO4/Hv4+QuivWYi100ORptM/NLRd+8MFfOmtLybOpT3rNwN8IX7cVJEwMmu4tylZ257D0EgysiInJ72hct/5xJAwCk57t2i42UjF207b5Y2YUu2cTD+3JjHOWesgrKMODTGPSaE2XXerS7/RmrvyVKlV3rdydV3QVjzmfIXBLn8eRwmsEVERG5vZpy59uUq1mGg5cyeCFHOJF6GwBEZ9XTr4+Wnrn669RNsUWTRHmF6dYX7TLb8kyYpfOUu5/GbphJf1+TMLgiIiKPYm+KZ5IPj5x4zh741suK79cDSw8gU6/l2Fwsti8xy95iSYbnD9vleHjCDmsxuCIiIrfn7nd8HUGubGv24HWt67PmGJ26lotPI8/rTFuwXTeLnPZ6MvKND+orB0e2gltas7MDZXIMlwiuli5dijZt2iAgIAADBw7EkSNHTC67du1aKBQKnX8BAQE6ywiCgJkzZ6Jp06aoVasWwsPDkZiY6OiPQUTkUtRqwa6BNt0JL0oMuXqgUlU+7SPHINn1WdNyBQCFZbrPTG2Mv6HzWveZK9c58LeLlVYtV64y/kzYidTbKHXi82LXbhXj8e/jNM9YkvxkD642btyI6dOnY9asWTh+/Dh69eqFiIgIZGaariRBQUFIS0vT/EtJ0R2TYOHChViyZAmWL1+Ow4cPo3bt2oiIiEBpac15uJmI6KnVh9F91g7csHPgS3fAi3LP4O7Z0mTh7LpvddBuvmDaMdp1N3xWZ+F24+M5PfjdQbz48zGj8xxxnnrz91M4dPUWpqzhMAWuQvbgatGiRZg6dSqmTJmCbt26Yfny5QgMDMTq1atNvkehUCA0NFTzLyQkRDNPEAQsXrwYH374IR544AH07NkTP/74I27evIktW7Y44RMREbmGA5dzAABbT96wsKT7E/lsfY3g4g1X5Kasbbky5t7Pd2N7QmU2T+3VLIu9Ym+xnO5w0i2T82IvGn+GzBGnqZxC1+lSSZV85Nx4eXk5jh07hhkzZmimeXl5ITw8HHFxpsflKCwsROvWraFWq9G3b198+umn6N69OwAgKSkJ6enpCA8P1yxfr149DBw4EHFxcXj88ccN1ldWVoaysurKmZ+fDwBQKpVQKq1rHnaUqu3LXQ5yH6wzpE+tUpusD9/vvYK/znnhnmGlqOPkcklJpVJpPqMgVGf7qknfA4PPqjAzT4Lt2LvOiorKYyY261xNOqbWKFcqoVR6O217KlV1V2Nzx0Jt5Lim5BTjxZ+PI/HjUVBV6HZZNrcuS8fcGXVCqVQafCaxZRbUps/FAKAyc642Rbs1zJ2+G6k5RVBW6JZX+7rb1T6LmPLIGlxlZ2dDpVLptDwBQEhICC5cuGD0PZ07d8bq1avRs2dP5OXl4YsvvsBdd92Fs2fPokWLFkhPT9esQ3+dVfP0zZ8/H3PmzDGYHhUVhcDAQFs+muSio6PlLgK5GdYZqjrFX7h4AZGF540u8XmcDwAvzN+wG4ND3LH5x/AzJid5oapjRmRkpFwFc5Lqn3H9z1pR4Y2qCMsR+8HUOWZLshcUCuCB1qZSWleWOT4+HiVXhH9bHa2/HNmwJRJBfuLK6pqkuQTbtWsX6jlxf1zIVQCoDOZ065Xu58nMzICpDlKRkZFIK9Z9j2EdNTdP3HwpREZGIjOz+tyiu13DbRnbN7dz88yW9fKVK4hU6uYIKFQC14sU6FRPgJeRRsOiIsd+z8Wxfp9Hn8/EkFo3Yeo4uto1THGx9eMFyhpc2SIsLAxhYWGa13fddRe6du2KFStW4OOPP7ZpnTNmzMD06dM1r/Pz89GyZUuMGjUKQUFBdpfZHkqlEtHR0Rg5ciR8fX1lLQu5B9YZqvJ6XOUgn106d8HYe9qaXaZth84Ye3c7p5VNKlXl79SpM8beW1n+E5EXsCc9FQAwduxY2crmDFWfHzD8rB8c34Wyf1sZpNwP5s4xt4rK8XpcLADgiynhqBtgeJlRVeY77+yPoZ0ao0Klxv8d2mn19ht17o/wrk1s/wAuQvvY2WP48OEICQqwvKBEgq/kYNn5ymeKtOuV/udp0iQEuG28e9zYsWORmFmIBacO6kzTZq5ui50vhbFjx2LrrRM6n6lqu8a2ZWzfFKj9MHbsMJNlbd+uPcaO6qgzb/DCPcgsKMOn47vh0X4tDN77zeUDyCgpMtimHMTu8+EjhmPW8b2a16NHj4FKVeGS1zBVvdqsIWtw1ahRI3h7eyMjQ3dE6oyMDISGhlq1Dl9fX/Tp0weXL18GAM37MjIy0LRpU5119u7d2+g6/P394e/vb3TdrnJgXaks5B5YZ6iKl7eXxbrg7e3t1vVFu/xeXtVdpNz5M4ml/1m1n2lxxH4wdo5ReFVnSfP29jG7XZ9/5yu8TA/aaszpmwUY07O5uMJ6MB8f557rfX2qLx3NbXeXieeOqt6nvR5L67L0+fLL1Nh84gYe7NMcDesYXs9JIb1AiaPJt60uV7lagdr+up8xt0Rp9j3GztWZBZWPrcRcyMYTgwxvkmmPy+Vu5ztfH93yRl3IxuhujSvnudg1jJiyyJrQws/PD/369UNMTIxmmlqtRkxMjE7rlDkqlQpnzpzRBFJt27ZFaGiozjrz8/Nx+PBhq9dJRETuRXtsGldPQe4scu8GV0qvTdJxxUF2X/jpGOZtO48XfjKepU8Kdy/cjQIRQ1t0n7UDm45fl2z7pr5NLng4bJae5xlZvWXPFjh9+nT88MMPWLduHc6fP4+XXnoJRUVFmDJlCgDg6aef1kl4MXfuXERFReHq1as4fvw4nnzySaSkpOC5554DUPmlf+ONNzBv3jz89ddfOHPmDJ5++mk0a9YM48ePl+MjEhGRg1mb4rigVIm9l7JQoRLXWkJWEnOh50EXhTWJK17Mx6fc1vnfVUz/7ZTohC2mOHJwY5KW7M9cTZgwAVlZWZg5cybS09PRu3dvbN++XZOQIjU1FV5e1THg7du3MXXqVKSnp6N+/fro168fDh48iG7dummWeeedd1BUVITnn38eubm5GDJkCLZv324w2DAREdUsT648jFPX8/DWqE6YNryj5TfI7JfDKahQCZh8Vxu5iyKao64FeY2py9kthNqp2AVBsLklyxWDNEd4fcMJq5c1V7dNtlxZuEtRoVLjn4R03NmmAULr8TrYGWQPrgBg2rRpmDZtmtF5sbGxOq+/+uorfPXVV2bXp1AoMHfuXMydO1eqIhIRuS1LP75VbheV483fT+GRfi0wtkdTy29wUeY+7anreQCATcdvuHxwVVKuwgebEwAA9/Vqhga1xaWEk6P7lrV1DYDNg/5sOXED743pYtubyW7a1UotAN42VLOM/FLof1P1A7X2jWvjSlaRjaV0HX+fTrN6WUcEyuviUvDx3+cQ6OeNc3NHS75+e3hq12HZuwUSEZFrWLjjAnZdyMTLvxyXuygEQKmu7rq4+0KmjCWxjbWXTWIvr9LzS1FQ6lpj4NQk2unAbe2qds/C3QbTlu6+rPM6vFuIwTLWyMz3jOd29Jna1ZbuocRerDx3FJerzC9IkmFwRUREAIBfj1yTuwg2077u8JTuRtof41JGgej355U4PwARte/tOE49Zkch4Uae7SvwIM7vJll94Gx9nKisQo0nfjikM+272Cui1hFkJM0/AKzcn2RboVyBA46lKyYgMeXk9Vy5iyAJBldERA6ScCMPy2KvQMnkCWRGWl4J8o20xLjTRZExjn4A/7EVcQ5dPxnnpdMt0PZjXJVi3Faj7zA+ZM9VD+hKKCV3OotsE9GF0pW5xDNXRESe6D/f7AcA+Hor8JwbDtDrKjYdvw4/Hy/8p2czuYsiucyCUoTN3wUASF4wTubS2M+ZF3Ls5lTJ2Q1Xzgr6LT2/Z2r+zvMZRqe7O1uPs5vfo3FLDK6IiBzsXJr1I7s70+Kdl+QugkW3isox/bdTAIBR3ULh52O8w4W7ZpAz17VN+5rIlT6eSi1Ytb8tLZKUVYRhnSUpEnkAxgDm2doSzP3qfOwWSERUA127VYzFOxPlLoZFRVqDdlo7Xoy7d6eropAgcYDUVGoBY5YcwFcJ3kbLJGbfz/37HHIK7esaZq2CUiXm/O8sTqS61jhIjiQIAsor3KdLstjvrYd8zXU44lvuKedDd8LgioioBnrz91NyF0E0a9P2utOlhLmuT6LSmjtJUnYhknKKkVKokKS1cPb/zjml1XHh9otYcyAZD3530PEbczJTgfdrG06iy0f/IC2vRNLtOapW6q+3JsYEey9liX6PpeDJlXdjhco1bhpJjcEVOUxeiRJqiUYml1pZhcpl7gRTDSBzVTP223sk6ZbzC2LC4as5eOGneNzINbwI1G29Mb0OTxwvxdrP7lxaA8hKsLbrt4slWItliZnmsy1m5pdixZ4ruF1U7pTyOMP/Tt2EWnDvLKC2qnDTJEIX0k3XU1vPAa4cpJ6+7pkZPxlckUNczSpErzlRmLTysNxFMZBfqkSP2VGYsOKQ5YWJagg5MxpO+P4QdpzNwPSNJw3mad+VtfrawoUvJgxYWdYKF7lRJaarousEhJY9ueow5v9zAa9tOCF3UaTnwANRtep9ieJbXAwozL4UZfOJG3YVxRWdMfF8pjud7vS9st4zx1RkcEUO8fux6wCAuKs5MpfE0J6LWSivUONI8i1czSqUuzhUA2xygx/6MqX8d3qNtlxp/V2TW5t/i3eN1gdLSTbEXuhVqASUOCHrn6UulpcyKn8L9iVmO7wsUnP218JYS8hTq47Yv16711Att9h1B5m29tlRfabGrbPcMuXO4Zd7YnBFNdon287LXQTyUEnZHGtFCtoXDvaOiyM3owkgrHyvq6Qd99JuSbRwjWhNV80zN/LQ/5Noe4tlkSt3jXI0R7Z6emJ3XDHUakH0TZ8sJ5/HanLdlwuDK6pxeKIhZ3jwuwNyF0GUQq2sfKbklyqx51KWU59n0G5xyMgvddp2pXbwcjZ6z43G36dvyl0Uu1jqFmjL+VVpx0Ptx2tQ9j9bxSdLu48clWglv9TyOcjVDP8yVvaubZa+c9YcrW9iEjH7r7OSlIcYXFEN5IoZuMjzuHK3FGMOJ1tOcPH4ikOYvPoIvt931QklqqR9Z3zrCdOBifZ1vit+x59afQR5JUpMW+/ez/QoJE5oYa+HrMz+V5Nvqrlr61K2HWn6i8qdE6gl5xQj8ky6U7blSF9GX8Lag8m4wkclJMHgihyiBj8aQS7izPU8tHlvGzYcSZW7KG7h7E3z2dSA6sGQNx933jNk2ucSZ10wOYI7PS8mCAImrTyEZ9ceNZgnKoOh+3xkt1aiNN9l1JG5UBxZrf8+nWbze115DD+pA31LN5PEbK/UQl0i6zC4qqGu3y62+aFKIndw37f7AQDvbTojc0kqOXLw0k8jz+P9zaY/p9Q37U2dOXaey7BpnBZbtmVOTW6lkMLNvFIcuJyDmAuZOoM4A3rBlZGjY+lCT64U2a7YmimVZbFXzM5XSxwB6X+/HHVMXeU5Q6k5PQGJB9d9V8Xgqgb650wahny2Gy/8FC93UWSh/cPgjpmhyD2tPpBs9zp2nE3HW7+f0rm7qFSp8f3eq1h/OBXXbhkfM0jqYMNYK8ytonI892M8nl59RNKLrVq+3pq/G9f1l2y9xq43sgrKcPfCXVi885Lo1SlVapy8lmvyppWpgT4tDQAqh4OXq8+L+sXTLq+l+3PGZnf88B87SmY7F9zNkrGUdtzRF/PrndA7wJ1afq2VnleK3GL7x1Wz+MyViLrvgbtZFgyuPIRSpcbPh1KsSi1e9bzEzvOZji6WS9I+z5S76UCD5H6kuDh44adj+OPYdazan6S13ur5zqrPV7IMMyFqpwm2NTvZ9dslBmm5vbWuDPy8Tf9kid6ikTd8F3sZ126VmOxStPtiJh5dftBoJsgPNydg/NIDWPCP8Qyk7nRxaG5gT93U+OYXuGVkQF432g0ew5F1TwCQmOH453Q8qd4oFEBesRKD5seg91zPyZR5LMV1BqaXG4MrF6dUqZFcYHlchLUHkvHhlgQM/3KPyWUEQUBesZINxERuTjtrnqhnYBxIqvPK/f9255SD2sJ5dsqaoziafBuvGxloduO/41D9sC/JYJ45rng+NpcAQfdCzfz+SjAx6Ck5d9BuT3gCwNhHsCfhhdwuOzFxhLO6BR5PyXXKdtyBj9wFIPM+2HoOmxN8UBCciA//093kcketyPT1wZYErD/snIf73TU7EZEULmca/nBK+Y3QfoZC92dTvu+dVEFeopF9J7ostr7Pylu8t23oyqNQKBwe/RaXVyDQz7E/62LGuSLTzv+bHMYZPPX3+AyDd+tI0C3wfFo+Em7k4ZF+LVyyK7OrYcuVi9v8b+rhlfuTzS5nTV13VmDl6tzpvJBfqnTrsX1qKkePF2Lqpre8LVfaKbplKIibXulLeT66dqtEupWZoF3cixa6g7nnEfE8agc2kjmru2vVdrS3565JuaQut6VTiBSnmDFf78Pbf5zGjrMZJpfZf5nPsFdhcOUhjqfmyl0EN+I+0VXP2VEY+GkMbht5doFcl9EfTwl/T01d0Mh5reGM7onWrtbWgMXa99nSzcYZZx2nBLVaH+RihmH6fp196J7Xvg6RmFGArILqbmzOvBcgdbZAbSk5xpPoSE1AZTfT/vN2YuPRyhvF9gw+Lae7FuxC3BXnBSJiWposnUPMtbjukThTrDtjcOUhtE/a7uBCej62J9g+hkVNcz7deV1IqPLZm0eWHcTLvxyTuyhGmbpY8pTuP4lGLtqdwdqgyZbgzdSRkfJ5CKmuobWDdP3yab+2nC3QdeqjnF2Zrt0qxsiv9uLOT3bKVgZHefVX5wyKLQjAGxtPIqeoHO/+WTnshHYSHXfzRZT4jKQmWajb7nM72XMwuCJZjF68Dy/+fBzxVjwrRqY5YnwRSw/1u5L/23gSk1cfkbxryvn0fMSn3EbkmXSb3m/sorJCwr45zugWmCPyYXHd8Y90FZdX4KlVh/FTXLJV6/q/305qrcu6DyXFR7e+5cqzmTsHaO8jSy0irtRTU85jZi77ojM4cpyrtLwSpwTRAgS3+m0Sw1jil+0J6ThoZeuWxW6BTMXudAyuSIdSpUbkmTT7W8Ks/II686HeKqZONLnF5Yg6m+7ULE5WM7I/fzt6DZ0+/Ae7Lxqm1C9XAZ/tuGRVohNth6/moMfsHfjt38xnrkwQBGw+cQN7LmXhisSZlxzxA3MkSbobCaYuli6mG2/xsaV1pKC0wvJC2tvQSXSgW761B5OxLzEbH2217lk0/XTsjmAhi7hZN3LFP9tkat1SNqhIVW+1v//6F87axfXUi11ncOaeM3WYbhWVI6/YdVt/+rWur/nbWN0e3qWJE0vjOP/5RjdD6s3cErz48zE88cNhp5fFUr10RgPwurgUFIv7+XE5DK5qOP1A4uudiXj5l+MY+ZXplO5SkuOn2dS54dHlcXj+p2NYuvuyU8tjq3f+PA21ALzwo2HXtV03FVi5PxmPLo8Ttc4Xfj6GonIV3vnjtFTFdBjtH1upgyF7f0CMlUfKh5hNDRr67p/Gj1uJUnywInYfmHvUplBkoJZXYnx5a/ehrV3trP3MUj7rUVRW/VnFthbqWxp7WWd9trK2qqostVzZXRLpyJnIyNi2tyfY1ipuC2M3Y0qVKvT9OBq95kZpvlf7E7NxSWSXXEe2dDzQu5nuBL39GOjnDU8k9ua2OyXpssa8yIv45bJ7hyfuXXqy2+PfH9J5/e2/gUWuk+5m6V4gC1i6+zL2JcrzUGRVCuj/nbopy/allFlq/mxbVFbhlNYBR3LkhZuzxgWRmqkLnUXREvbvN0HKhBamxq/56VCKfSvW4iqD+moHMmUV9rWabzudhgX/XLB6+bxiJfZeyjIIWr20jqX+d0F7SUs9XV1kF7uk5XuuOG9jRo6Ddhba8go1LmcW4MlVhzHqq70WV+es82OAT3XwxLpku+u3rW9pd5XzYsJt9w5P3Lv0ZLdjKbcdvg1zme60v8jR5zLw+Y6LeGrVEUm2u+dSFoZ8tsvqfsuaMkmydWlJWabyCjW6z9qBrjO3G3TrcVZQLTVXu3Nn7Hg5o15J+eyD2Aso7eWv33ZMBrFyK4MPa+qD0W6BMlQkH61IRorWTTHn9PHfHcDTq4/gZ72g9aG+Lax6v8VnrlzobCrnKULu05Oxo6AzXhkEJOql1T9wORuXM+VJLKOhtePOpeUb7EeOt1TJ0l64JWG2YWfeeJz260mXCfbEYnDlhhJu5OG+b/bjgERjCkSfy3DoSOefRp43OU/7ayPm7oo1Jq8+guu3Swz6LedYOtG423fZyLnO3OlP+46lLd3FXIU9J90KlRrTN57EhiPGx37TbYVxtwohDdHdArUvhG46/1lKKQ6THJdqUqewF7OKpOwiAJWt9do3wazdD1HnDJ/31CmLC311avKFeKeQOmbn6z/7fCmjAJNWHkb4IsutWM46xA8vO2gwzVOPqNiqamkoHnfdTzvOZeJKVpHcxbAJgys3NHn1EZy5kYdJK6V52HHqj/EYvdjySVQM7RNuWp7pQXC1f3yd9dtn6ZmEq9lFSDdTZpcj8tfNW/tOuStd/dhFXOX5+3QaNp24gfc2nbG4rE27yAN2687zpgeLtET/42u/dpWBP40eVweeg6w5v8n1fYxPuY0+H0fjz2PXRb0vwUIQ7RpHmoZ0aGQwzctLu6VZ98amqcQ4VbTrcnmFGoeuOibrr5RZ8DyFo2/2uUJCC22OHKPNkRhcuaFbxdIPKJtdaPs6C8sqsOtChskuO642Ble3pkEWl3lmjTRdE+Vi7vyn0x3EBRMjWkv7lCv2hJ9far77Y0380dYXL7LLsM4uM/N7+Mcxx2SiFHteNNplTebfcSkCT3suvt78/ZTd29fhphdGUnPF84n2c3X6F7BeIgt8OVO6bK2Hr+Zo/rbU2uiCu1US5rrenbIlrb+Eqdg9dZ9LjcGVG3K136up6+Lx37XxWLjd+IPUF81kH5Ljo2i33ADGL2guWLhz51KMne3MnAG9tL717txyZU/RxY1YL55UF+6OGMfMYXTGuTL9Ye3t5mEqeFh/uLqLpzVH99otw27Iey7Jk0yniid0QdX+CJkudGPtggzDfrgK44202s/66c2z8AVyZLBY1VXVGjWxq2eBkRuDd7VvaPY97ryX3PWUyOCK7Bb3752mjTaMjfTXSeMppR1J/4Tc5aN/sD0hzenlEEPKE4z2XcltZ1z7c1tL7I+Hxe4mWktIdcFbIDJF9jcxiej80Xacvp6LV9Yfx7T1xyUph9VEfmztfebInn8DPo1x2IP2hRKkMRdLd1Bep2/ewLbTuucEe65fv9nl3GEtyipUJscguylrV2/Xu7zVablSCzrHWc7S6vRI0JtXE4Mpa+jfMLaPC5yEPACDK5KMLQNKajdxy3XaVKoEvPizky9cRZJyYGPt4Cr2gvkH0l2ZPZnILHV70UkyYMP6pYjHvoy+BJVawBsbTmLb6TT8fdq5gbDYvu7WJmawN1jNKijDB5sTrC+MCGK7Q5li62eUIrueqVZ37UQ25ryy/jgOXsmxvKALeuDbAxi8YBdOXst1yPrNddusUKmx9eQN3LRhgGlHs/R8oX4PBjmDGDHPYXtqrJVXYrrburEugxa7T1qYr32+stgt0Mn73F2PMYMrD5Qr0TNZm45fxws/xVs9HpK52MqaVKD2nNCPpdxGSo57ZpWxxp/HxT1obm5Pas9TKICzN/NwNNkxDyQ7i9i6Y+lGn86AuA6+kWfpQlxMkOMqXSj0gwRz5bLlpoyjPqZUP+TGPpI1KYwdefzOiHhWQ7v1x1XqlDWqAsstJgbZtsflzALcMWsHvjIxZtzag8l4fcNJDPsiVvJtO4L2jQT9oNFiUOPAW6Ha5w79cmg/26VUqd12PEJL9LM3WmK5JwY5G4MrD6Q9VpFaLeBqVqFNd1Kn/3YKO85mYPWBJKuWN3cRaC4duzFiypuUXYSHlx3EvZ/HWrW8O94JyS91THclQQDGLdmPR5fHuVziEUt07nCKfK9ULRT2Wn84FXd+EmP2x9TiXUcTf9vrn4R07DibbnJ+wg3TF+vWfn2zC8sw4NOdYosmGSkfxNfmGrVLGq40VpW1HJFhbH7kBZQoVfg6JtHo/H2JlUOj2DsQtCMYy/ypXUf195er1F9zwZO7BLFSM1a3Lf2cSdnzxdnc6eaONpcIrpYuXYo2bdogICAAAwcOxJEjpjO1/fDDD7j77rtRv3591K9fH+Hh4QbLP/PMM1AoFDr/Ro8e7eiP4TKGap107vl8N4Z/uQePf3/I4vsW7zR+Ry6vRInc4nJ8tv2C2WcdzH0JqlKbX0jPN9llQ/sEcSXL+osesQ8qu8oPh1RE5rMwydpuQ67InjGZLHHkxeX7m88gu7AMb/9hOkubmI8mdd1+4adjJuf9deqmyXnW7rFV+5NsylR6JOkW0vLs734VvmiPzmtHnhtMJY/RnmzpQsKWVj7Num1837GU2y6TPt9acqRvNndOkfteTlXgp02/5Uq3O55rdAs05/rtEtn3q6No19+8Yt0ugluMPKdu6WZhco71g7pbTsXuoTtdYrIHVxs3bsT06dMxa9YsHD9+HL169UJERAQyM40/CxIbG4uJEydi9+7diIuLQ8uWLTFq1CjcuKFb4UaPHo20tDTNv19//dUZH8flVI1fcTjJcrevxTuN35EDgA82J2BZ7BWzgwqWq9TYeDTVaEr2qgvU0Yv3YfzSAwbz1x5Iwoo9VzWvlSrDr/ic/53FhBVxBhnU3P27/uuRVLR5bxu2mknuUWgmdbg9d0q19/Kz647avB53I+qZKxuu08S+JeGGmRsEbli/i80khrB2f1oaJH3e36Zbw23dZaXK6u+StZkat51Ow3NWfHesCVAsBfLt3o/ExqPGB762uG4bA47DV2+h+6ztWGKixcYVOSK2cvXfmVKRA8KbS6Qi5/hS2vXUcvdEz/TToRTN35f0bmgba2331P3gzmQPrhYtWoSpU6diypQp6NatG5YvX47AwECsXr3a6PK//PILXn75ZfTu3RtdunTBypUroVarERMTo7Ocv78/QkNDNf/q16/vjI/jkSLPpFn9gPC7f57BD/uuWl5QS3peKWb/75xOP39jdx7XHEjG4aRb2Jsob7pkKZVXqDHj34FsX99w0uRyV0Wkp9Wnf+xMXXdk5Ltvt0CxvCye+Vzn56pMafwif/fFTJy+not5f5+zaj0nUsWNW2WJuYv13/Qyh569abwLobljaGmQdFsy+1kaQFx7rKxyK4OrV9Yfx87ztieGERvIv/vnGac+p/bt7ssoVaqxyMSzRq7IMQ1tto+55IyziaXWurIK08GXfrZA7fOjs4cHKDVxvjPG1QNeW2kP6vzo8jideUZ7qki4H1ytG567tZpX8ZFz4+Xl5Th27BhmzJihmebl5YXw8HDExcWZeWe14uJiKJVKNGjQQGd6bGwsmjRpgvr162P48OGYN28eGjY0PhZAWVkZysqqLyzz8yvvIiuVSiiV5gcbdSZjZTFVPinLff12CZoHB1i97gOXs9A1tK7ONLVaMPm+x1YcNJhWWFJucvmy8gqdeSpV9Y+GNftDe3lzpNqHKrWAEqUKdfwNv276d/hNbTO32Hxd1J6nVCpxs7j6bDt+6QEkfjzK6LIqtekfsrKycnhJmuJVWkqtO7UVFRVW7x8AUGldOBt7X0VF9XG5XViCRnX8RZVNbWK/iiljFVOppaesMWwtUShMr+fLqItYM7mfye2LLZdardaZV6H1983cEp152VrP82m/T602/12sPAcbD4j0t69dVkFteHxjL2Vh6k8njG6jivaFpKqiAkqF6R92c8eyqLQMAb7eVr23osJ0PVaaaI0oVyrNpl82VaftPacplUqd42xsW5bmO4Lh91tldru3C0uMno9NrQ+AzojrxuZr1x1j5TG7bgkolUqz9TU6IQ0R3UO0lq/+XpVXVOjUw5Ky6jKmZBegeXAtnXVpnx+l9knkeTwT1hIAoLbwW+0J48KJJQiG11Lm6p4+Y/O1b9aUW7juVVv4bklt7JJ9SJg5Av5mzqfOIuZzyxpcZWdnQ6VSISQkRGd6SEgILlwwPiCtvnfffRfNmjVDeHi4Ztro0aPx0EMPoW3btrhy5Qref/99jBkzBnFxcfD2NjxA8+fPx5w5cwymR0VFITAwUOSnklr1IYqMjERygeE0/eXMTbdVSUkJqu6ZVK/bsIxA5XG9WpwN7YbR7Ozsf99nWJ5UI4N5vr/hMF67Q//EWvne+GPHUJ5UfTI4nq0AUHlc//d3JLy9dJfXL3OS3j40xfBz2uaL0964VqTA3H4VqOenO69UZbqclWybl1asW8+15xcqq99b2f3WeDPO35H/wEf2tm3g7G0FskuBe5vq/pCWae27PbGxaBig/07T++e0Vp0xdpwzSqrfv2brLnSvL+5H/PZtbxi7x2juGM5e9w9UaiAsRDCYZy21Wq3ZRkmF7jr2X87R27516zf1nitXkxAZeUXzOr+8en6JUq3zvvz86v1xNan6fVdSvGCuA0VkZCSKtOqrtoNXDM8pVdu8dK36+G7cGom6vsDHxy0fE7W6epkdO3bA16Bols+9APDhuigMb6ZfZ4zXx7O3q8u6f/9+pNSpfke53vmhyj///KOV8dJwvrGyxR87jopk02WyRmRkJAr0jod+nS6uMD/fEZcd+p83JfUaIiNT9Jaq3u6jS2Lwanfjvy+666uWkVFdV43Nz8w0Pf/MLWPnG2n3w44dUfA3uLyp3sax48ehSqk+/trfq/MXLiAnAJoyHj9+XPN3zK7daKR3bk0v1l231O7/cjsebKPGjaLq/WbM9WvX4AIdsJwqNzfPoH5lWqiblup2ZWxVuUzcocPIOW/s965y/sVLFxFZZHh9bu11lS1W/LEDHeo5ZNWiFBdb/+yarMGVvRYsWIANGzYgNjYWAQHV3/7HH39c83ePHj3Qs2dPtG/fHrGxsRgxYoTBembMmIHp06drXufn52ue5QoKCnLsh7Dg9bgozd9jx45Fx4+idOaPHTvWYDkAaNFzMGIuZAEQ10XPlMDAQNwqK9HZprEyAkBw/YbYnazbBSkx3wud77wbiDN83sqYKwUKne0UlVUAcbsAAL1698GYO0I1824fuQYkVj5/cc+IkahXy9egXNrrOp6ai8UJppOmGHuPPTTlaN4DY+9sqTPvdnE5cCRW8/oE2qFlg0D8sC8JP/23v87+MrfftecplUooDu3SWVZ7/q2icnwQX7nN87mmf5hGjopALT/57xa9/m+dnzhqAHq3DNZMLyqrwDtHKj/nsGHD0KK+7t1VU/sHAIQz6fgx8bTReQBwNasIn56s3Pd33tkfQzs1FlXmNdcPA4WGXeE633kv2jeubbSMv1yu3NfTJwxF/UA/g++VNby8vDB2bATUagGdZ0UbzNf+rNau39R74m/54YeXh2teZxeW4aNje4y+b3lSHG4UVz47EJvmhaXPj8LZtHxkpV4AYPp5s7Fjx+J2cTne/7e+alMJlecIY8f59PaLwPXKi+u/cxrjp//eiS8u7APKDG/kaJfzrSPRUP37vOfo0aPhr3d3wdi2jO3H+s3aYuzYLhbfCwC1Lmbh+wuVLWp3DR6MHs2rryJKlSq8fUS3yzsAjB0zRtOqbGz7xsrWp4/uedPUe80ZO3YscgrL8GG88eMMAPklSsw4utvkfFvqtTXl0l53i5YtMHbsHSa3ezlfYfX5tMrfuSdx5namyfmbc47jXG620fn+5zOx8uJJo2WVyshRowxa48wd/9xiJd6PrzxOHTt2RkiQP3DpLADgzv79sOrf8t5771C0bqh7kzkxsxDzTxn2OJHK+VwvlF2vg1eHtce6xDMml2vZsiXiMqVPu+/KgoPrYezYQTrTLNVNS3VbrRbwf4cqfy8GDBiAu9ob9vKqWkeXzl0w9p62BvP1r02lNHDQIAxs28Dygg5W1avNGrIGV40aNYK3tzcyMnTThGZkZCA0NNTEuyp98cUXWLBgAXbu3ImePXuaXbZdu3Zo1KgRLl++bDS48vf3h7+/YbcfX19f+Pr6WvFJnMNYWUyV7+EV5p9XEEs7AYClfXJEL7CqMnqJdYGVse2UlVTfZSyt0J3no9Ua6ePjY3E/+fhYV+29vH00XW9Scorg4+1l0D1CDG9vb4OyHU7WfX5sbVz1w+qf/KP7jIO5/W4wTwGdhyx0P791fdoVRsorp5ziCp3y+Kqr66Sp465ZVm+ej4+3yXmV03y0ljVc9+6LmfhoSwK+eLQXBrUz/CG6mmX8GbnRSw4gecE4k+UEAKXgZdd+9/X1Nfl8hS3rNfWewrIKs/VKe55+hqlFMVewar/lIR58fX3h62O61VC/bL6+vlgSk4hVB6pbLU5dz4evr6/JLFc65dT64vj6+sDXx/TNBXP7UuFl/hjq7rfqbXh769Y1lYm78r6+vriaXYS1B43vQ2Pb1l+3LXx9feHjq3ucKwQvpN4qRud/u4L7VBi+x9EMt2H5O6Tw8oaPt+n9q0+7i7TR/av1oJL+fG+t3xxH7Y/K6xXTv2365zFfX62BYxUKfPrPRc1rP631eBs5//mZ2Y5U0vLKdPabMWoXejbWWRQKhWH9MlP39Bmbr90t0NJ5wth1jKNZ+n13FjFlkLU91c/PD/369dNJRlGVnCIsLMzk+xYuXIiPP/4Y27dvR//+/S1u5/r168jJyUHTpk0lKXdNJPeDozqDuuo9mi22bHsuWZcQo/37lc3nBaVK3Pt5LAYv2GWxj3dOoemkEMbeau4hZDEPcupnaJTicLnag6T6u8qe0lkafFL7QtzYklPWHMX12yUmhzgwNy6ZfmpdZ0qyITGKuSxkmQW2pe/fa+V30Bb6iRdKzTzIb0Ci85ylTIemiEkh/vCyg/j5kPHMgcbOU5tPiBuI3FrjluxDxOK9+GHvv70kXOC0YU0yErEppS2fM8y91/Es/TaZHchb0D1nae8buZ5rMvdMYZU/jjmmTrsbSRNauMIX2API3ll1+vTp+OGHH7Bu3TqcP38eL730EoqKijBlyhQAwNNPP62T8OKzzz7DRx99hNWrV6NNmzZIT09Heno6Cgsr01MWFhbi7bffxqFDh5CcnIyYmBg88MAD6NChAyIiImT5jI5kS8YsW8gx6KpORiwrM2pZ8zuwdPdlUeXQHv/JXLyx7mAy+s3biW9kSFm8cLtuH2hTR2v2X2fxiZUDOle4WnBlZp7U41zppgOWtu5/ZWI8OSkoVQJUasFkYPzXycqxqcQERd/vNd21eOku675L+qW5dtv6vuv2qjp3ib1osOea8lKGbYMTi9lkXonpID0+xbD3gD0ZDc2pymRq7XnFGf5nZgw2W8l9g9ESe87W+gGU9u+9XD8DcoxV5haMVEQpr89ccbe7YpkskT24mjBhAr744gvMnDkTvXv3xsmTJ7F9+3ZNkovU1FSkpaVpll+2bBnKy8vxyCOPoGnTppp/X3zxBYDKJsvTp0/j/vvvR6dOnfDss8+iX79+2Ldvn9Guf+7OWXeV9IO4i+kFGPZFrNmxmezVc04Ufjms/1Cy4Zhdlu4oSmn2X2dNppWe9Vdlf/UvJUpZLOai/mcj+0lfZkEp1h5Mxqbj1h2zbL1WOKVKjXf/OO2QCxdrGLRc2REAWbopqr0pqWtXrla6b6PbtvM7/eex6/jWRNBTFWDM+cu69O0A8MvhFPyw9yp2nE03mGdrAC4m3fKfxx17d/qnuGRNoDKya4jBfGfeuZdqU/rpm6Xkjhc6ziFv9CX2uGgvr38zxtsFWq6Ky8WN21WjSdpyZWFTMlTzc2nWP+vkKmQPrgBg2rRpSElJQVlZGQ4fPoyBAwdq5sXGxmLt2rWa18nJyRAEweDf7NmzAQC1atXCjh07kJmZifLyciQnJ+P77783yEjoKZx12ssq0L3Q/r+NJ5GUXWR2bCZ7FZZV4IPNCQB0A6jNJ3SDA2u+7MYG3rNe9QZ+OpSCcUv227YWkSelczetP6Ho37kqUxturMLIwMzmzNxyVuf17/HXsTH+Gl791TCdtTOYa3kQf743/w7t6wmpf0wcPcJ9Uk4Rtp1JMzov7koOANPp3Y3JyC/DJ5Hn8cJPx8wu56juJPO2mW4R+fmQ5ZsKVReHpq4RP9p6Fu/8cQoAEFRLt099SbkKw76I1cx3BO1ybU8wftxInHtEJqCxhqu3XNnz9VPpfTnMDTDsTKetHF+T7KN9iF2xxfCz7dZlD3clLhFckfsROxq8vey9sA5ftMfyQkaY63ojlthzln7LkTmWugWYexbMFP0LcDHl0XftVjE+237B5md0AImfubJQaQK1siQ2rWeQ490ut4rMt1w5kn6rr73kvuD8cEuCxWWsuTjccTbDYFpmfhk+2HwGyTnF+C3esPVMqjv62vvwh326CSpc8DrHLQRaMSaO2ONnzzNX2r8jjvrtzC6y/fysPyi19keR89nblVYkvalpThkJOMWchi9nFphfwBXPOa5YJgsYXJFHkfo7+POhFIf+uEh18WTp5Npv3k68+Zu4u+/6Fx/2XEc/ujwOy2KvYNovtrd66e8q7eJdzLDwg6FHTB91qS9wrU2oYqvsgjKk5Jh/pskNf6vsJvY4frztHDadMN2F9ljKbYNEMtqUViRVAIAmdcUH78v3XrG8EEnLwinD3Ozi8upu9dbWC7FGfGn+BqK5G5T6RZr6Y7zmb2MtGQz6XYuY3hC5FhIqWeqB4OoNuK6CwZUbMZZeWRCAH+OSnV8YF+LIu+eCIODhZdKM5/FTnOUuTObM/Z/p52Ss2QdxV3NEbU/KmDL936QgR5Jtbzkxd6c58rS47lQ62SctZdkStWb5/W5NBi0nXB3J9ayGfarLHH3OsDVLW05ROeJTTNdnczdlPo08j5v/tgzrj6VljYXbL1peyAGclUDJXtZ0URVbO+35mdHeliOTQ1l6ntMU/QCqSOt5p5yiclzJqu5WX1KucrtzoqezIrGihuVkTva9nyoxuHIj6XlGulQJwMytZw2nexozX3jtuzYVavN3BQXBdCY1U4xdUIh5HqqK2NYVfasPJJm8U+4l5uxqJf0LlMJy+y+sJD0xaxXPUkBRUKp7t067HJZ+TJwdIzh6e+l5pZJdHCkrTK9pwKcxuJBu34PIT6+2PNi3NUqVKqu6tZpLtJGsl8ZeEAQcMdPN0txx/H7vVUxZc9RsWdLzShF70b4Mf9oDEkvhjlk7JF2fo8gR15s7t2mXx5HBVe+51QOH79S7ObDlhOlEROaes5m8+ghGfLkHydlFOHczH11nbsd7f562v7AkGbGDCphj6btzzEgmUkezZmgFV8Pgyo3c+3ms3EWQhbE+xtq0f6y2mvkBAYDpIrvG5Zh4Pmbskn1IySnCkaRbooI1e7uEmHp/brFS01JgLA2zLfRPsvsu2TZ2j1TsuWC6ojeor05wZWxbOn971n3aQfNjbBrvyhidizK93ZRVUIbRi/fhdlG5za1YUo2H1eWj7Sgz04WvSvdmQSbnfbRV9/kuQQAW7zQ97EKJhWdrqm62KE0kmhk0PwYv/XLc7DrMuZpViA5N6tj8fltEmkik4myO+Mbak4hGN7OpFKWx7Bu9IUd2njfdEmtNEoP4lNuaYUyOp+baVTaSlqW62aZhoNay5tdlqSYYez6VDDG4Ipf3wNIDZud7a9Xi22a6RczcmmCQadCSNQeSTc679/NYPLYiTtS4WU+vkuZOvDFVmRsnrjR/R9xamXoZIqW4YLGva41g9rU5G47oDrYqZpBMR9wFj72YqfMchjZnjC9WYGaQYzF+P3Ydn+8wn8mpz8fRuJBuX6uts7SoX8vkvDK9Vi1LR+m+byxnFT2flo+xS/ZZUzTRLmUUOr0Lz8t2BINSsuY7K/X32lzCCxcbMtCAtff8PO1Gk6cwVfPU6sps2oF+Pmbfr/0b6J7duV0Pgys3J1f+f2d//eb8bfp5Ix+v6mq84eg1k8v9aOczT6bXm2z1svrPPYke2NTMvL9O3cTKfaYHfHUF9tQbw3GurH+vfmue9o+RpbTkYn9r9LvjGPPMmqM4aaJF1pr3u5Klu6/g2i3nDQpszivr7b24N3eBrFsRLLVYW5Pu/iMrsh3a6sWfjznkxkBeiXzZLq1n+YNbalnUZylONRfINqrr2mNs/qp388kYBZjIwlUZa7mqUKkx5ut9eHr1EYy5I7R6WQvr4vhi0mBw5ebO3Mh1+jb1x7xyhm1mEhY0C66+2yxnmmtXYG5MIHtJcUdLyh9nMavS/0HR/jHaed78cy1iA2B7xwFzx/7lqS4SXJk7T1hSVqEye4GsH6Bbc5wTLTxn6eiWJXv2hynhi/ZKvk453DQT/P5k5IaZPcdKezgHdw1QFAr3LbunM1Y3z6cV4GJGAfYlZsPb2/rK+2W0PMlyPA2DKzdnaewNR/hix0WXSscpf/YacQU4eKX62aX8EnHds+Qcc0Ru9vyw69cRMfk/nH1B8fmOi1i885JzN2qnSSsPy10Eu204ck3y89rIr8wHIqaelTiRKs1zk3IE6q7Qdcya72xanung6iMPSBJl6VllsdbFpbjkALOkm+rfUkZPS89nXbtl/QDzZBqDKxJtY/w1F/j5dB3ZhWWiBsd94ofqC1Fz3RiN6TUnCg98u9/mlLvuTL/ObThquiuL/rAF+hm6tG9K6Pc3n7b+ON7+vTrxiTWJEKRmLlECOcasv84iX6Jn0axlLMjPLCjFg99JM/yDHPSHnPj1SCrumLXDqecsY79P9QN9dV6//utJUeu0p1ug9sDBOXYM9iunU9dy+bvvIvSf19XOcqo08nulHRPvOJvusHJRNQZXZJNsGboGujL9ARwnrz5isRtdcXkFCsvMD+hnzKnreTopdx0pI786aLSUaCE5u8iqdNf6yivU+C72MhJu5JldTn9/mhvr59fDphNYGK63+u+beaX4+3QaDl6pfjbul0PintWztiVVO8j2BLc8IOB/Syuodgb9LJYAMOCTGKeWQWpfRuu2us7YdAaFZRVOO2cBxrsw924ZrPO6QOSYXZbu+GvfsNEPJCu0MkKaS/fv6thw5Rr+d8p0VmRLqf6XxXIAcmdgcOXm5OoSJ/aHydPpZ1/bcynL7HMouy9kotvMHS7fBP/GvxkIAeByZqHJ5TLzSzH0i1j0n7dT9DbWHEjCwu0X8R8L2dXE/K5n6QV5+i0E2t+bTyLPI+/fUevVRgJI7UCLTBu92DFZ79zdu3+cNnmjpdTJD49bk2TDEzgkFbuIZfVb7/y0Bor2FfH8iy0cmVzGXDp3cp5yveEbdFL9/1vVtMd2dGQGwEsZBXjp52MOW7+7YnBFbunR5Qfx57HriDFysj+afMvoRbKzmcu6M2WtNOnSHU07u2FjrYxX+ifr83ak2j5vbcZLEYdU/1lEg26Betc3veZGaQIsfen51nf5JNK3Mf6abFld9ZWKzJAnNWedl2MvZuHB7w7oDBNgzzhVVtFavf7HrFeruktiHX/zabHtNW+b6cy65Bn0u/5pV7fKrI4Clu2pbqGy9LWz51s5YUUc/klgV0N9DK7c3De7rB9jyZMcTb6NN38/hWfXxeOqXteaR5fHYeZfjktxbK0F/5gf/8fdRHQP0fytn1hDTIIIfdZe9Ih5UF7/wWv9TRhLBDNlrTRjkMmeX4VcTrmJ5/ac3QNA7rrZ7v1Ip23rRGoulu6uvsAM1nvmypLt+heMFnae9mxz5ypHx5c7zmaY7TZG7k+pl6hG++du2BexuGvBLuxLrE6c5chEJLdN3JSs6Rhcubm8ElZsY93vfj5kedwOR9tzKUvuIkjKWytC0b9AEJO1Ur/V6/T1XKveZ+lZhVd+Oa4Z5+v0dd3nt7Rfn0/Lx8QfDhm8/3hqruhBpo0p4jgh5KLkb8+XT7emQQbTzHWXelGvq5Olc1xKTvXvkLlrWWcM0mpqmAA5hlEh6ek//6z9KruwHGl5ur0tXKAjT43D4IqIzLr979hh2s+V2ZPxSn9cKWMP9Rvz+Y7qBBbGWgK2nUnTjPNlLmX9Q2YysUWdY/cGIk+inzlU29t/nLZ6PZYa2LW388ex6ya3K+eFLm/GegaxAfq5m67RLbkmYXBFRGa9+W8GtYSb1a0/2QW62bDEPM6wP9G2Fr2q8TvWHUxGpw//Mbusl4kzW3J2EUrMPHdiKdMSkTuribW784fbTd5s+ePYdavXY2nfaZ87buSWYKmJLvsfbzuH5GzrbihJzRmtZuR4+ofR0nFlIhLnY3BFbq8mXjA4064LlS1N3loRy9Vs3cyBYo6BuUQflgZABCrHI7LEVJC010Jgp9+dkEgKDk+mYCXtIEPM2HzubsuJGzYdgzc2GO9eZ4z++mNNdAvfdjoNQ7+IFV0WKXwdk8gAywOwm5/rY3BFbu946m25i+Dxzt3Mh49W1orXtVK0AxAVXf1u5m7xTQlSRT+2Ig5nTIyZFeDjbdM6zXUtIrLEVS5ol++5qvn7hZ88J33yhiPmn7F98/dTWHswyei8H/ZexcLtxpMPbTl5U5Ph0FJsZjDcAyq7L29PSEeuizz0//fpNDy2Ig7Dv4jF9ds1Iy2/J8ot0e054iKnF9LC4IrcnnZWHHKMuKs58DaTEjBfqy+//ujxznYk6ZbJixlbGxCm/2b94LKBfrYFcESO9ufx6hsbJ1Jz5SuIxN7bdMbiMqbGFPwk8jy+MzOwatV1q6WEFsZay7/ZlYgXfz6GJ1e5zoDhR5Nv42p2EVO2u7E1B5Kxan8S9kt07aMfnMk9ZIMnYHDl4oICHDsmBpE1BEEwG1yVaSWYUFaIu40W3rWJ5u8MC2NKpeTY96yCrX3Pt51Os3rZWr4MrkiXq3QLBIAEE626ZFxVGmuxLVenrudhw9FrDiqV/fTTeZN7+fjvc5qgXcwwJYDlxCYTVsTZXC6qxOCKiCwSBCA0KMDkfO2LR2tO9NrdpFrUD9T8/dQq82NN3ft5rMV1m3LuZj52nJXmwV57xvUiktN/vtmPy5mFlhckANV39S0FyMbmu3Lqc1cK+Mm5vt6ZaHb+KT57bDcGVy6O5z9yBVezixDWvqHONO2uA+bGwDJGu6WrzMQAq1KTMmOSuayCOUXlJucRuYLwRXvkLoLkHPVc25Z/x77zsXBHxd1+q92suGRG64a1RS1/8AofpXA0BldEZNGvR1INLi600xhrz7LmIkcQgIp/u6UkZTvnLvqi6EuSrUv7QurrnYm4ZmQgayJynrYzIh2y3nf+rBwLS79b9Kbj19HmvW2IPFPZZdjdhnGIT2EiKE9Rr5avqOUvpBdAEATNbzBJj8GVi2MWGHIVjev667z+cEuC5m/tLiYqKyrtr0dS0eGDfxBzPgOHrt6SrpBOov15v9p5CQ8tMz0wMdH4pQfkLgLZISm7SCe4qlCpNUluXv7lOAB2FSb52JKAYuqPx9Bv3k4UlLpGJktPw+DKxbnZzTDSk1Poun3uxTJ3p7NZcPXzWN5WVNq5f1dmqnp2Xbz9BXMS7Ra5cr2ujK78bAUR2aewtEKT2AIAknN0W6q3J6TxGSaSRUm5ChUq8Xfhd57PQF6JEjHnM0UnxCDLGFy5OLZcubdNx2/IXQTJ5BvJMFQ1EKl2hrzZ/7Mvxa+lMWvk4o4tbERkP+0U9gBw9qbuA/8v/nzcmcVxW98/2cfo9K5Ng5xcEsdZMtH4Z3SU8EV77Mr8qOZFpkMwuHJxHZrUkbsIZIcimcd8ktIvhw2Dnu0J6QbT/nfqpl3bsWbMGjlw7A+immntwWT8dbL6vPbPGcPzHlObWzasc2O0ahCoM+2N8I7437TBmDigpUylkpazh+K4kVuCFvVr2fx+lYkMVPsTs00+P32bSZssYnDl4prVM53+mlzfYgspT91d1Ym5Jtz7Op+eL3cRiMyKmzFc7iJ4LO0soJezDJPwlJQ79uZLE71nXt3VHy+G4dMHe2hehwYFwMfbC5+M74FVk/vLWDJpKAD8/OxAp27z+m3jA2Rbw1TL1ZOrDuP5n44ZnZfJbvAWMbhycTXhopXc1xw7uwC6k4XbL5qdn5pTzNYtkpW5sehIOsbGCbuQXuDQbZobxN2dNAkKwBMDW2le1w2ozHTn5aVA31b15SqWZBrX9ceQjo2cuk17Bqs2N3RK9Dnjw5dELN6L7QlpNm+zJmBwRUR2k7rb9onU22jz3jZMWWN+UGFnMxc83fP5bsxw0S6NUrujuec8I+Eutr4yGB+O62p2GSZVIFcxtHNjs/Pnjb8DD/VtjtF3hGqm1a/t5+hiOVy7xuLGnJKb/vOD+tq8tw1t3ttmMN0Rzxkum9RX8nXKhcEVEdnFEc8aPPhdZWrz3RezJF+3PXrOicKlDNN3qDef8JwEJub0b91A7iLUOL1aBuO5u9uZnN/AAy5MyTPU8ffB6sl36nRTndtP9/njJwe1xqLHentMi1yVOv4+AIC3IzrLXBLr/HzIdRJIjenRVO4iSIbBlatjv0BycR0/+MdgmjUDCbuj8go1Rn21V+5iyO6j/3RD92ZsvXIlQzuZbykg9/bkoNYG094c2UmGklg24c6W8PJSoGm9WkheMA6JH49CvRoQ+wcH+mpaj18Z1gEXPh6NPW8PxaaX75K5ZObZ+sxWnpEMwlSJwRXVaJPDDH+wSLyIxboBx4aj1/BV9CXM+d9Z5HOQQrdzZxvTzz68OrwDvL0UaBZse4YqUzo6KTvq1lcGo0toXadsy1nu790MANA5xLM+F1V68d72Oq/H926GV0d0tCtTnKPY0xrlakm8nr/HeGvxg32aG0yLeuMendcBvt5o3bA2+raqj/fGdNEJhusG+GDl0/0NWrj8fZx/WT7iyz02vW/CijiJS+I5GFzVIM/c1cZgWnMHXCA50ruju2Dj84NMzo/6v3tMzjNmVPdQywu5uXdGO797woxNZ/B1TCLWHEhGz9lRTt8+6eoUIi5o+eFp41m7WjUIxBvh9t0tX/6k6X71Pz83ED8/OxAT+ltOy+znbfvPV6+WwWjdMNDk/N4tg21et1yGdm4CgN0DPZW3lwJR/3cPvn2iD468PwJfTegNAOjVIljWchnT1I4A6ZF+LSQsif3eH9sVyQvGYd1/B6BeLV/N9LkPdNdZLvGTMWhiJqHMi/e2x6sjOmLD84MQ/X/34MzsCIR3C8ErwzroLBf1f/fgqwm9pP0QDuLoJC7uzCWCq6VLl6JNmzYICAjAwIEDceSI+YfYf//9d3Tp0gUBAQHo0aMHIiMjdeYLgoCZM2eiadOmqFWrFsLDw5GY6J4psQ9ezZFkPfvfHYZZ93XTmTauR1MceM946t62jWo7JfPUnPu7m50f0T1E5/VLQ9tjYLuGJpfvZOSu7XeT+uLw+yNw4ePRBvMGd3BuVh9b2RMEv3Rve/w61XhAuvutoZhzf3eD4/CNkwdCJMf5/cUwRP3fvfjzpbsQ3rWJwfx3IjoCAN4e1VEzLUBvrJbwrk3wwdiu+Pu1IZq70k/9203JWJDy2wthWGkiQBt9R1OsfqZyXhu994YEBWBIx0b47JGeSF4wzuC9VQ+Lvx3RGQse7qEzb+2UO41uz5ThXQz3RZWfnxtodPtSeXV4B8sLmfBQ3+o75ptevguN6vjj68d7a6bNGNvFnqIZGNUtxPJCNjIXaFOlD8d1xY5/W0Q6hdTFf3o2Q5OgAE33M6mPt1idQ+pi0WO6wYA9z2ROG94RS5/oi7va6/7O62/D2e7t1BinZo3C+ucGYtPLd6FugC9+eLo/Xh7aHlc/HQtfK2/2DGrXEB3NtC57KRQIa+ce1yVkmuzB1caNGzF9+nTMmjULx48fR69evRAREYHMzEyjyx88eBATJ07Es88+ixMnTmD8+PEYP348EhISNMssXLgQS5YswfLly3H48GHUrl0bERERKC0tddbHksztYvFdqn6dOkjnDsvWVwajRf1AKBQKvDWq+q7z0n8zsxx+fwR8vRWY+0B3vDu6C1o2qIVfpw7CofdH2P8BzIjoHoLJd7XBayM66kzXbmn5+vE+GNSuAQa0bYCfnh2gmW7uwudjvTtKw7s0QUhQAAJ8vY2eoH95TndMitdHdMQIMxdectjyymBc/XSs0QxMzYNrYf+7w/Ca3gXbEwNa4MgHI6BQKBDWviHG3GHYSte2UW1MvqsNnhrUGg/3bYEpg9sgaf5Y9G3t/ilxXYmpmxhVLs4bDTGJ3r59wvrg9842lRc6/VrXx8rJd+LLR6u/A5PDWmPqkLaYf2cFnr+7LdZMuRM//ncAAny98XDfyjvIix7rhZWT78TUe9ohKKD6vHJPp8bY/+4w7Jx+L7a/cTdeG94B7RrVxtNhrTGgbQOM6NrEZOvS8C4hSF4wDrFvD9NMW/ffAQbLaQ84+tF/umHTS3dh5dP98cI97TC+d3M8O6QtFj7cE8c+DMfQzk0M1rHuvwOw+62hOtN8vSt39CP9WpocV6fqofQVT/UzOt9e0808K9O2kflsY++P7YoOTergvTFd0LdVfRz9YAQe6F0dcPVsEYxL88bYFBx++Wgvgxstix/vjU8evEP0ugDg+EcjEeDrha8m9ML8h3oYzB99h+c8wC6F2n66NzVeG9ERz93dDp3NdGFtUd90C6wz7Pi/e/BQ3xY6z2A2CbJ9TC4/Hy+M69kU66cO0txUHNa5MR7q2wLJC8Zhz9tDjb7vyUGtjE4Xq26Aj9n5d3VopEkZP7JbCN4Z3QVediblOPZhuM7r0HoBiHztbrO9dNzVyG4huDjP8EZ3lV1v3uvE0jiOQpD5yfOBAwfizjvvxLfffgsAUKvVaNmyJV599VW89957BstPmDABRUVF+PvvvzXTBg0ahN69e2P58uUQBAHNmjXDm2++ibfeegsAkJeXh5CQEKxduxaPP/64xTLl5+ejXr16yMvLQ1CQvA9tG0uB+d/BbTGkY0MMbNsQ3Wft0Jl3cuZIBAdWdgspVaoM7kADwK9HUtGuUW2zLUBVEjMKMFLvAf7hXZpg1wXD4Peloe2xLPaKxXVW2fP2ULRuWHkhcSO3BAWlSqjUAro1DUJeiRK+3l6o7W/6RJeeV4pB82N0plVdUESeScPLvxzHw31b4Eu9gGpfYhaeWnUEXz/eW3NRMnrxXk0Td9U6jO17uWhfKJ29mYdxS/ZrXh/9IByN6/pDEAQM/DQGmQVlGNlcje9eHA1f3+qL4bIKFf45k44/jl3H/svZBuvVt+NsOl4wMYiguxjSoRF6tqiH70zUy54t6uGB3s3Ru2U95JdUYMrao5Ju/7tJfXFHs3po1TAQgz6NQXq+4Q2euBnD0bReLZRXqNHpQ8PkIPoe6N0Miyf0xvilB3DqenUa3XE9m+K90V1w98Ldmmm/PDfQaOusIAgQhMqxZZRKJSIjIzF27Fid+qJWC0jLL7Wr1VSlFpCYWYDRi/dppunXubxiJfJLlWjZwPAiMbOgFLEXsnBfr2ao5Wd4LjNmz6UsTF59RGdb128XIzjQDz5eCoNzYnZhGfrP2wkA+Hj8HZoWOW3GzgU/PN0fU3+MBwB4KcyPF6MvecE4o+usKm95hRpeCqDDv8limtT1x5EPwg2Wt6RqGw/2aY6I7qF48WfT3+c3wjtqunzes3A3Um8VY8nEPri/V+WzXIIgoO2MSJPvN0b/WKfmFOOezyvr528vhGFA2waYsCIOh5NumVxHw9p+OgP4ApU3KwYv2CWqLO7g5MyRmLb+BPZfzsas+7rhqUGt4WNli4i536tfpw7CxB8OSVVMHVXH+Oudifhq5yWdaVVMnWMsuZFbgi0nbuCJAa100rSfvp6L+789YLQcE78/hDgbe/xE/d89aN0wEL3mRKFUqTb6WRyhQqXWfNfPzY1AoJ/udc+SmETEnM/A/Id6YuySfcZW4TZMXV/V9vPG2bmjjc7Tfp+cxMQGsgZX5eXlCAwMxB9//IHx48drpk+ePBm5ubnYunWrwXtatWqF6dOn44033tBMmzVrFrZs2YJTp07h6tWraN++PU6cOIHevXtrlrn33nvRu3dvfP311wbrLCsrQ1lZ9YjT+fn5aNmyJbKzs2UPrjp+VP28yhsjOmB09xC01xpH4Wjybey5lI2H+jRz2PgKf51Kw5t/VI7fM++Bbni0b3O8tP4kHu1X+T8APH5nC3x8fzdsOXkTb/+ZYHJdf78Shl0Xs1BWocYbI2zvGlNFpRbwwi8nsOdSNpZP6q3T4lReoYafiIdDC8sqEOjrrbkLdSWrCKOXHLDwLml0Da2LAF8vhLVriEf7NUeL+rV0jn3ix6N0ls8pLMPauFSM6tYEPZrX00wvVapwPDkHOZfiMXrUSKM/ZGUVaizZdRn3dmqEAW0sd99IvVWMK1lFeP7nEwCA+oG++ObxXnhydbytH1dyZ2aOwP7LOfj92A2Ed22McT1C4e/jDW8vBQRBwNGU25i0Sre852eHG1y45BSWYdBnug/3PjmwJX4+bNsgjdrH7frtEoz6ej+UqspT7itD2+Gu9g10joEgCPjp8DV8vO2CZtrH93fD+N5NcfJaHlo3DNQ8z1ChUmNxzBWs2JeE8C6N8d0TvaFQKJB6qxjXbpdgcHvLN0+Ayguf6OhojBxpvL5IoaouL5nQ02gLqtRUagFeCuvHfSqrUCO7sMxkILk3MRvP/lg9rsuobk2wdGJvzWtBEDBwQSxuFysR//4w9P90t5G1VEv8eBR+PpyKOX9fMJiu7URqLn45cg3vRHRCk7riWwPyS5Q4m5aPgW0awMtLgRPXcvHY95WBZ+ybd2Pol5UXaic/HG5wI0sQBIP9dyO3RPMeADg3cxhulagQHOgHfx8vlJSr0PPjGKOfxdR6BUFAhVrAop2XUVKuwpsjO+LDrWdxf6+mGNGlCVRqAY+sOIyEm/kAgF+fuxP9W9fXOT+a8vcrYfjPUsOH7ns2D8LpG/kW3+9sxs5J1tLeH6O6NcHDfZsjLa8UE/u3gJeXAg+vOITT16X/zFXHuaBUiWfWHcOY7qF4bkgbnWUccY5RqwX8eeIG3t9yDltfHoRuTSuv1VRqAV1mRRssP2N0JzzStzn66X03l0/qjavZRSgqU2muSUrKVZj993k80re52eQ+UrqRWwKVWtBprTfGmnrvyqrqi1Klxn++PYir2cUAgD1v3q1JkmTsM5o6nzhTfn4+GjVq5PrB1c2bN9G8eXMcPHgQYWFhmunvvPMO9uzZg8OHDxu8x8/PD+vWrcPEiRM107777jvMmTMHGRkZOHjwIAYPHoybN2+iadPqLgePPfYYFAoFNm7caLDO2bNnY86cOQbT169fj8BAeZvc117ywokcL7zUVYUuwa6Z3lotVN65rZJSCCw6U/lD3auBGlM6qZFZCjTwB3xl74hqu3JVZfkLK4D96V7Yft34h+karMZzndV487D57gUA0DxQwJs9VDD2e6oSgMt5CrSpK8Dfupv2DqVUA9eLgNZ1qo/3n0le2JsuzUEd00KFkc0FTDex374Oq0BxBRDoA1zKU6BRgIDiCqCuL6xO83s0S4EbRQrc31oNSz05BAGarnq/XPbCkSxxn3NW3wo0sLF3TH45sPKiN3o1UGNEc9f83oshCJXfm7qOid2cQiUAc497o1GAgGnd1Ba7cSYXAF8lGNbl57uo0L1+9TGtUANHshToEizYXF/EKFRWfods7cl0qwz4OsEbU7uo0MLI/bySCsBbAVjZ0Gi1nNLK76P2PlKpge/Oe+Nyvu6HGdREjbEt1ajnB5y+pcDBDAXO51Z+f4c2VePBNmq8Hmf8PNOqtoCeDdX4O9UxJ907G6vxWFs1fLyAzBIg4bYCbeoIaFa78rjYKqUQOJzphVHN1Qg2UY9i0xTYnGzd55rUXoVmtQVcL6osn0oAmteurK/av21fh1WYWYs8VGrgUJYCv12t/KyvdFOhU73K71xOKTD3hA/8vAQ82laNAU3c6/xaVX5bzL+zAgoA7x21o6JZ4fF2Kmy4aljPHmunwuCQ6v1dpATO5yrQo4HhNc6mJC/s+ffa4skOKtzZWP7jVFxcjCeeeILBlbXBlSu3XDnjrjLZp0ypAhSVLSRF5So01Oq+oFYLRvtjG7srLBU56oxaLeB8egG6hNaFt5cCN3JLsO1MOvx9vHDyWh4yC8ow9o4QTBpofb/44vIKlFWo4eOlQN0A16n7cVdzsGxPErqE1sWM0Z0MjqNSpbb64WZXwHOMc1So1PD2Ujjse+9MnlRnCkqVuJFbil+OXMPQTo10ej+k3irGvsRsfLcnCZkFZYjo1gTf/ttiqVYLKK1QIbOgDLsuZGH+9kvoGloXv78wEP4+XihVqnA+vQA9/n0Wad2hVEy8s4VBly+5CIKAA1duoV+rYNTy84ZSVXmutbZ+qtSC1SnXPam+uIKqbt0KBZBbosTUn07gUkYBjn0w3OhvT6lSBV9vL53jJQgC0vPLkJ5Xir/PpCM40BfjezdFy/qBuHa7GO9uOov4lNvQjhC+fKQH7u/VFGq1gH2Xs5FwswCLYy7jkb7N0Tw4ALX8vPHs4DZ2fz5XrS9iWq5k/ZY3atQI3t7eyMjI0JmekZGB0FDjXUdCQ0PNLl/1f0ZGhk5wlZGRodNNUJu/vz/8/Q1v9fj6+rrMgXWlspAu7eNSV96GTh3OrjO9W1d3Q2vT2BevDLfvxkQ9F63v93QOxT2dTXdtc9FiW8RzjGN54q71hDrTwNcXDeoGYkFLwy7S7UPqoX1IPTwzpL2RdwL+/kC92rXQMTQYLwzVTczk6+uLAe2qM+6+qDffFQzrWn0eE3sYbTnqnlBfXE0TPz9snTbE7DKm9nmrRn5o1aguBrTXTZTVrkk9/P6i+YGPw7s3Q3h34I2RjhvqxdXqi5iyyHp71c/PD/369UNMTHVSArVajZiYGJ2WLG1hYWE6ywNAdHS0Zvm2bdsiNDRUZ5n8/HwcPnzY5DqJiIiIiIjsJXv79PTp0zF58mT0798fAwYMwOLFi1FUVIQpU6YAAJ5++mk0b94c8+fPBwC8/vrruPfee/Hll19i3Lhx2LBhA+Lj4/H9998DqHyA+Y033sC8efPQsWNHtG3bFh999BGaNWumkzSDiIiIiIhISrIHVxMmTEBWVhZmzpyJ9PR09O7dG9u3b0dISOXAhampqfDyqm5gu+uuu7B+/Xp8+OGHeP/999GxY0ds2bIFd9xRPQ7HO++8g6KiIjz//PPIzc3FkCFDsH37dgQEOH5QXCIiIiIiqplkD64AYNq0aZg2bZrRebGxsQbTHn30UTz66KMm16dQKDB37lzMnTtXqiISERERERGZ5T4prYiIiIiIiFwYgysiIiIiIiIJMLgiIiIiIiKSAIMrIiIiIiIiCTC4IiIiIiIikgCDKyIiIiIiIgkwuCIiIiIiIpIAgysiIiIiIiIJMLgiIiIiIiKSAIMrIiIiIiIiCfjIXQBXJAgCACA/P1/mkgBKpRLFxcXIz8+Hr6+v3MUhN8A6Q2KwvpBYrDMkBusLieGq9aUqJqiKEcxhcGVEQUEBAKBly5Yyl4SIiIiIiFxBQUEB6tWrZ3YZhWBNCFbDqNVq3Lx5E3Xr1oVCoZC1LPn5+WjZsiWuXbuGoKAgWctC7oF1hsRgfSGxWGdIDNYXEsNV64sgCCgoKECzZs3g5WX+qSq2XBnh5eWFFi1ayF0MHUFBQS5Vycj1sc6QGKwvJBbrDInB+kJiuGJ9sdRiVYUJLYiIiIiIiCTA4IqIiIiIiEgCDK5cnL+/P2bNmgV/f3+5i0JugnWGxGB9IbFYZ0gM1hcSwxPqCxNaEBERERERSYAtV0RERERERBJgcEVERERERCQBBldEREREREQSYHBFREREREQkAQZXLm7p0qVo06YNAgICMHDgQBw5ckTuIpHE9u7di/vuuw/NmjWDQqHAli1bdOYLgoCZM2eiadOmqFWrFsLDw5GYmKizzK1btzBp0iQEBQUhODgYzz77LAoLC3WWOX36NO6++24EBASgZcuWWLhwoUFZfv/9d3Tp0gUBAQHo0aMHIiMjJf+8ZJ/58+fjzjvvRN26ddGkSROMHz8eFy9e1FmmtLQUr7zyCho2bIg6derg4YcfRkZGhs4yqampGDduHAIDA9GkSRO8/fbbqKio0FkmNjYWffv2hb+/Pzp06IC1a9calIfnKNe3bNky9OzZUzMoZ1hYGP755x/NfNYXMmfBggVQKBR44403NNNYZ0jb7NmzoVAodP516dJFM7/G1ReBXNaGDRsEPz8/YfXq1cLZs2eFqVOnCsHBwUJGRobcRSMJRUZGCh988IGwadMmAYCwefNmnfkLFiwQ6tWrJ2zZskU4deqUcP/99wtt27YVSkpKNMuMHj1a6NWrl3Do0CFh3759QocOHYSJEydq5ufl5QkhISHCpEmThISEBOHXX38VatWqJaxYsUKzzIEDBwRvb29h4cKFwrlz54QPP/xQ8PX1Fc6cOePwfUDWi4iIENasWSMkJCQIJ0+eFMaOHSu0atVKKCws1Czz4osvCi1bthRiYmKE+Ph4YdCgQcJdd92lmV9RUSHccccdQnh4uHDixAkhMjJSaNSokTBjxgzNMlevXhUCAwOF6dOnC+fOnRO++eYbwdvbW9i+fbtmGZ6j3MNff/0lbNu2Tbh06ZJw8eJF4f333xd8fX2FhIQEQRBYX8i0I0eOCG3atBF69uwpvP7665rprDOkbdasWUL37t2FtLQ0zb+srCzN/JpWXxhcubABAwYIr7zyiua1SqUSmjVrJsyfP1/GUpEj6QdXarVaCA0NFT7//HPNtNzcXMHf31/49ddfBUEQhHPnzgkAhKNHj2qW+eeffwSFQiHcuHFDEARB+O6774T69esLZWVlmmXeffddoXPnzprXjz32mDBu3Did8gwcOFB44YUXJP2MJK3MzEwBgLBnzx5BECrrh6+vr/D7779rljl//rwAQIiLixMEoTKg9/LyEtLT0zXLLFu2TAgKCtLUkXfeeUfo3r27zrYmTJggREREaF7zHOW+6tevL6xcuZL1hUwqKCgQOnbsKERHRwv33nuvJrhinSF9s2bNEnr16mV0Xk2sL+wW6KLKy8tx7NgxhIeHa6Z5eXkhPDwccXFxMpaMnCkpKQnp6ek69aBevXoYOHCgph7ExcUhODgY/fv31ywTHh4OLy8vHD58WLPMPffcAz8/P80yERERuHjxIm7fvq1ZRns7Vcuwvrm2vLw8AECDBg0AAMeOHYNSqdQ5ll26dEGrVq106kyPHj0QEhKiWSYiIgL5+fk4e/asZhlz9YHnKPekUqmwYcMGFBUVISwsjPWFTHrllVcwbtw4g+PKOkPGJCYmolmzZmjXrh0mTZqE1NRUADWzvjC4clHZ2dlQqVQ6FQ0AQkJCkJ6eLlOpyNmqjrW5epCeno4mTZrozPfx8UGDBg10ljG2Du1tmFqG9c11qdVqvPHGGxg8eDDuuOMOAJXH0c/PD8HBwTrL6tcZW+tDfn4+SkpKeI5yM2fOnEGdOnXg7++PF198EZs3b0a3bt1YX8ioDRs24Pjx45g/f77BPNYZ0jdw4ECsXbsW27dvx7Jly5CUlIS7774bBQUFNbK++Dh1a0REJJlXXnkFCQkJ2L9/v9xFIRfXuXNnnDx5Enl5efjjjz8wefJk7NmzR+5ikQu6du0aXn/9dURHRyMgIEDu4pAbGDNmjObvnj17YuDAgWjdujV+++031KpVS8aSyYMtVy6qUaNG8Pb2NsimkpGRgdDQUJlKRc5WdazN1YPQ0FBkZmbqzK+oqMCtW7d0ljG2Du1tmFqG9c01TZs2DX///Td2796NFi1aaKaHhoaivLwcubm5Osvr1xlb60NQUBBq1arFc5Sb8fPzQ4cOHdCvXz/Mnz8fvXr1wtdff836QgaOHTuGzMxM9O3bFz4+PvDx8cGePXuwZMkS+Pj4ICQkhHWGzAoODkanTp1w+fLlGnmOYXDlovz8/NCvXz/ExMRopqnVasTExCAsLEzGkpEztW3bFqGhoTr1ID8/H4cPH9bUg7CwMOTm5uLYsWOaZXbt2gW1Wo2BAwdqltm7dy+USqVmmejoaHTu3Bn169fXLKO9naplWN9ciyAImDZtGjZv3oxdu3ahbdu2OvP79esHX19fnWN58eJFpKam6tSZM2fO6ATl0dHRCAoKQrdu3TTLmKsPPEe5N7VajbKyMtYXMjBixAicOXMGJ0+e1Pzr378/Jk2apPmbdYbMKSwsxJUrV9C0adOaeY5xavoMEmXDhg2Cv7+/sHbtWuHcuXPC888/LwQHB+tkUyH3V1BQIJw4cUI4ceKEAEBYtGiRcOLECSElJUUQhMpU7MHBwcLWrVuF06dPCw888IDRVOx9+vQRDh8+LOzfv1/o2LGjTir23NxcISQkRHjqqaeEhIQEYcOGDUJgYKBBKnYfHx/hiy++EM6fPy/MmjWLqdhd0EsvvSTUq1dPiI2N1Ul7W1xcrFnmxRdfFFq1aiXs2rVLiI+PF8LCwoSwsDDN/Kq0t6NGjRJOnjwpbN++XWjcuLHRtLdvv/22cP78eWHp0qVG097yHOX63nvvPWHPnj1CUlKScPr0aeG9994TFAqFEBUVJQgC6wtZpp0tUBBYZ0jXm2++KcTGxgpJSUnCgQMHhPDwcKFRo0ZCZmamIAg1r74wuHJx33zzjdCqVSvBz89PGDBggHDo0CG5i0QS2717twDA4N/kyZMFQahMx/7RRx8JISEhgr+/vzBixAjh4sWLOuvIyckRJk6cKNSpU0cICgoSpkyZIhQUFOgsc+rUKWHIkCGCv7+/0Lx5c2HBggUGZfntt9+ETp06CX5+fkL37t2Fbdu2Oexzk22M1RUAwpo1azTLlJSUCC+//LJQv359ITAwUHjwwQeFtLQ0nfUkJycLY8aMEWrVqiU0atRIePPNNwWlUqmzzO7du4XevXsLfn5+Qrt27XS2UYXnKNf33//+V2jdurXg5+cnNG7cWBgxYoQmsBIE1heyTD+4Yp0hbRMmTBCaNm0q+Pn5Cc2bNxcmTJggXL58WTO/ptUXhSAIgnPbyoiIiIiIiDwPn7kiIiIiIiKSAIMrIiIiIiIiCTC4IiIiIiIikgCDKyIiIiIiIgkwuCIiIiIiIpIAgysiIiIiIiIJMLgiIiIiIiKSAIMrIiIiIiIiCTC4IiIiIiIikgCDKyIi8hjPPPMMFAoFXnzxRYN5r7zyChQKBZ555hnnF4yIiGoEBldERORRWrZsiQ0bNqCkpEQzrbS0FOvXr0erVq1kLBkREXk6BldERORR+vbti5YtW2LTpk2aaZs2bUKrVq3Qp08fzbSysjK89tpraNKkCQICAjBkyBAcPXoUAKBWq9GiRQssW7ZMZ90nTpyAl5cXUlJSAAC5ubl47rnn0LhxYwQFBWH48OE4deqUZvlTp05h2LBhqFu3LoKCgtCvXz/Ex8c78uMTEZGMGFwREZHH+e9//4s1a9ZoXq9evRpTpkzRWeadd97Bn3/+iXXr1uH48ePo0KEDIiIicOvWLXh5eWHixIlYv369znt++eUXDB48GK1btwYAPProo8jMzMQ///yDY8eOoW/fvhgxYgRu3boFAJg0aRJatGiBo0eP4tixY3jvvffg6+vr4E9PRERyYXBFREQe58knn8T+/fuRkpKClJQUHDhwAE8++aRmflFREZYtW4bPP/8cY8aMQbdu3fDDDz+gVq1aWLVqFYDKwOjAgQNITU0FUNmatWHDBkyaNAkAsH//fhw5cgS///47+vfvj44dO+KLL75AcHAw/vjjDwBAamoqwsPD0aVLF3Ts2BGPPvooevXq5eS9QUREzsLgioiIPE7jxo0xbtw4rF27FmvWrMG4cePQqFEjzfwrV65AqVRi8ODBmmm+vr4YMGAAzp8/DwDo3bs3unbtqmm92rPn/9u5f5dGtjAO44+MCKIIGkFtRFFSxNZGC6uAAUE0amMwYGKjncJUNtqF/BXaWAlWCloIW1gFwUILC7ER8QdWBguDusXCsCluc5ld7w3PB07zvofhnOm+zDnzg6enJxYWFoBfR/6q1SqJRIL29vZo3N7ecnNzA8DGxgYrKyuk02lKpVJUlyQ1JsOVJKkhFQoFdnZ22N3dpVAo/Ktn5HK5KFzt7e2RyWRIJBIAVKtV+vr6uLi4qBvX19eEYQjA1tYWV1dXTE1NcXp6SiqV4uDgIJ4NSpL+cwxXkqSGlMlkeH9/p1arMTk5WdcbGhqipaWFs7OzqFar1ahUKqRSqai2uLjI5eUl5+fn7O/vR0cC4dePMx4eHmhubmZ4eLhu/P6VLJlMsr6+zsnJCdlstu4umCSpsTR/9wIkSfoTgiCIjvgFQVDXa2trY3V1lTAM6erqor+/n3K5zNvbG8ViMZo3MDDA+Pg4xWKRj48Ppqeno146nWZsbIyZmRnK5TLJZJL7+3sODw+ZnZ1lZGSEMAyZn59ncHCQu7s7KpUKc3Nzf+cFSJL+OsOVJKlhdXR0/GOvVCrx+fnJ0tISr6+vjI6Ocnx8TGdnZ928XC7H2toa+Xye1tbWqN7U1MTR0RGbm5ssLy/z/PxMb28vExMT9PT0EAQBLy8v5PN5Hh8f6e7uJpvNsr29/cf2K0n6Xk1fX19f370ISZIkSfq/886VJEmSJMXAcCVJkiRJMTBcSZIkSVIMDFeSJEmSFAPDlSRJkiTFwHAlSZIkSTEwXEmSJElSDAxXkiRJkhQDw5UkSZIkxcBwJUmSJEkxMFxJkiRJUgx+AgZISSjYqbSCAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 1000x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "frog_self_play losses for epoch 3\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "toad_self_play losses for epoch 4\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "frog_self_play losses for epoch 4\n"
     ]
    },
    {
     "data": {
      "image/png": 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XR15eHnJzc3H33XejZcuWaNeuHZ544gk0bdpU9FzLli1DSUkJfvjhB3Ts2BF33XUXvvrqK/z444/IyMhAYGAg/vWvf2HZsmWGfTZt2oScnBw8+OCDAIDZs2fjsccew5QpU9C6dWv07t0bX3zxBX744QeUlJQY9rvrrrvw8ssvo2XLlmjZsqVFWmrWrImQkBBEREQgOjoa0dHRCAwMFE23VqvFggUL0LVrV/Tv3x8PPfQQduzYge+++w7t27fH3XffjTvvvBNbtmwBAKSmpmLx4sVYuXIl+vXrh5YtW+KVV15B3759TYI7IiIiIm+WmV+qdhI8hqo1To0bN8acOXPQunVrCIKApUuX4r777sOhQ4fQoUMHi+137dqFsWPHYvbs2bj77ruxbNkyjB49GgcPHkTHjh1dksbw4ECceG+YS44NAHq9Hvl5+agRWcNigtTwYPFCvlwnT55EbGysSS1Rnz59UFBQgMuXLyMmJgaDBg1Cp06dMGzYMAwdOhQPPfQQatWqhdq1a+PJJ5/EsGHDMGTIEAwePBiPPPIIGjRoYPVcMTExqFatmsm59Ho9kpOTUb9+fTz22GO44447cPXqVTRs2BA///wzRo0ahaioKABAUlISjhw5gp9//tlwDEEQoNfrceHCBbRr1w4A0KNHD0U+HwCIiIgwCb7q16+P5s2bo3r16ibLMjMrqqmPHj0KnU6H2267zeQ4paWluOWWWxRLFxERERF5BlUDp3vuucfk7w8++AALFizAnj17RAOnzz//HMOHD8err74KAHj//fcRHx+Pr776CgsXLnRJGjUajSLN5azR6/UoDwlEREiQReDkLoGBgYiPj8euXbuwYcMGfPnll3j77bexd+9etGjRAosXL8YLL7yAdevWYcWKFXjnnXcQHx+PO+64w6Hz3X777WjZsiWWL1+O//znP1i9ejWWLFliWF9QUIDnnnsOL7zwgsW+xjVdxsGZs4KDg03+1mg0osv0er0hjYGBgUhMTLSoxTIOtoiIiIjIN3hMHyedToeVK1eisLAQsbGxotvs3r0bU6dONVk2bNgwrFmzxupxS0tLUVpaVcWYl5cHoKJpllarNdlWq9UaajYqC8iuVjkAROV5nTmOtWO0bdsWv//+O3Q6naHWaceOHahRowYaNmxo2Cc2NhaxsbF455130KJFC/z+++946aWXAAAxMTGIiYnB66+/jj59+uDnn39Gz549Lc7Vpk0bLFmyBPn5+YbAZvv27QgICEDr1q0N53r00Ufx888/o2HDhggICMCIESMM67p27YoTJ07g1ltvFb3Wyu2kfGbBwcEoLy832a7y/5Xfs/Hfxp+n2LLKc8bExECn0yE9PR39+vWzmkbzZYIgQKvVWm0yaEtlfjXPt0TmmFdIDuYXkop5xT8ZD1Ym57v3lvwiJ32qB05Hjx5FbGwsSkpKUL16daxevRrt27cX3TY9PR3169c3WVa/fn2kp6dbPf7s2bMxc+ZMi+UbNmxARESEybKgoCBER0ejoKBA1vDWSsjPz3dqf61Wi+zsbOzcudNkea1atfD444/j888/x/PPP48JEybg7NmzmD59OiZOnIiCggIcOHAACQkJuOuuu1CnTh0kJiYiKysLTZs2xdGjR7FkyRKMGDEC0dHROHv2LE6fPo2HHnrIEIQau+eeezBjxgw8/vjjeP3113H9+nW88MILGDNmDMLDww373HvvvZg5cyZmzZqFe++91yTAnThxIoYOHYrnnnsO48aNQ0REBJKTk7FlyxZ89NFHACqCkJKSEtE0GGvUqBF2796NY8eOoVq1aqhVqxaKiooMn3lAQABKSkogCILJsUpLS6HT6UyWabValJeXIy8vD9HR0Xj44Ycxbtw4zJo1C507d8a1a9eQkJCADh06YNgwy+adZWVlKC4uxrZt20xGNJQrPj7e4X3JvzCvkBzMLyQV84p/yckJBFDx4t2RsQU8Pb9UlgulUD1watOmDQ4fPozc3FysWrUKTzzxBBISEqwGT3K9+eabJrVUeXl5aNKkCYYOHYrIyEiTbUtKSnDp0iVUr14dYWFhipzfHkEQkJ+fjxo1ajg1r1BwcDB27NiB/v37myx/6qmn8L///Q9///03Xn/9dfTr1w+1a9fG008/jffeew9BQUFo0KAB9u3bh0WLFiEvLw/NmjXDxx9/jAcffBAZGRm4cOECnnzySVy/fh0NGjTApEmT8OKLL4o2LYyMjMS6devw0ksvYdCgQYiIiMADDzyAefPmmTRh69KlC3r27Il9+/bh888/N/kuevfujS1btuCdd97ByJEjIQgCWrZsiUceecSwXUBAAMLCwiy+Q3NvvPEGxo8fjzvuuAPFxcU4d+6cIWCuUaMGIiMjERYWBo1GY3Ks0NBQBAYGmiwLDg5GUFCQYdmPP/6IDz74ANOmTcOVK1dQp04d9OrVCw8++KBoukpKShAeHo7+/fs7lL+0Wi3i4+MxZMgQi2aERMaYV0gO5heSinnFP32XugeXCiteJI8cOVLyft6SX+y9hDemEZScLEgBgwcPRsuWLbFo0SKLdU2bNsXUqVMxZcoUw7Lp06djzZo1SEpKknT8vLw81KxZE7m5uaKB04ULF9CiRQu3BU56vR55eXmIjIxUrY8TuYez+Uur1SIuLg4jR4706AcQqY95heRgfiGpmFf8031f7UDS5VwAkDUcubfkF1uxgTmPK6nr9XqTPknGYmNjsWnTJpNl8fHxVvtEERERERERKUHVpnpvvvkmRowYgaZNmyI/Px/Lli3D1q1bsX59xYSz48aNQ6NGjTB79mwAwIsvvogBAwZg3rx5GDVqFJYvX44DBw7gm2++UfMyiIiIiIjIx6kaOGVmZmLcuHFIS0tDzZo10blzZ6xfvx5DhgwBUDHJqHHztd69e2PZsmV455138NZbb6F169ZYs2aNy+ZwIiIiIiIiAlQOnL777jub67du3Wqx7OGHH8bDDz/sohQREREREZGBE4OX+RqP6+PkCTxsvAzyEcxXRERERN6LgZORyhE/5IznTiRVZb7y5JFliIiIiEic6vM4eZLAwEBERUUhMzMTABAREeHU3EpS6PV6lJWVoaSkhMOR+yhBEFBUVITMzExERUUhMDBQ7SQRERERkUwMnMxER0cDgCF4cjVBEFBcXIzw8HCXB2mkrqioKEP+IiIiIiLvwsDJjEajQYMGDVCvXj1otVqXn0+r1WLbtm3o378/m3D5sODgYNY0ERERkdfha/0qDJysCAwMdEtBNzAwEOXl5QgLC2PgRERERETkodiphoiIiIiIyA4GTkRERERERHYwcCIiIiIiIrKDgRMREREREZEdDJyIiIiIiEgUZ8upwsCJiIiIiIjIDgZOREREREREdjBwIiIiIiIisoOBExERERERkR0MnIiIiIiISBTHhqjCwImIiIiIiMgOBk5ERERERER2MHAiIiIiIiKyg4ETERERERGRHQyciIiIiIhIlEbD4SEqMXAiIiIiIiKyg4ETERERERGRHQyciIiIiIiI7GDgRERERETkh8p1esSfyMCNwjK1k+IVGDgREREREfmhRdvOY8IPB3D/1zvVTopXYOBEREREROSH/jmSBgC4eL3I6jYcU68KAyciIiIiIiI7GDgREREREfkhTtEkDwMnIiIiIiIiOxg4ERERERH5IdY4ycPAiYiIiIiIRDG4qsLAiYiIiIjID2k4Zp4sDJyIiIiIiEiUIKidAs/BwImIiIiIyA+xGZ48DJyIiIiIiIjsYOBERERERESiWCtVhYETEREREZEfYkwkDwMnIiIiIiIiOxg4ERERERH5I7bDk4WBExERERERkR0MnIiIiIiI/JCU+iZOkluFgRMREREREZEdDJyIiIiIiPwQuzjJw8CJiIiIiIjIDgZORERERER+iBVO8qgaOM2ePRu33347atSogXr16mH06NFITk62uc+SJUug0WhM/oWFhbkpxURERERE5I9UDZwSEhIwadIk7NmzB/Hx8dBqtRg6dCgKCwtt7hcZGYm0tDTDv5SUFDelmIiIiIjIN2ikdHJitZRBkJonX7duncnfS5YsQb169ZCYmIj+/ftb3U+j0SA6OtrVySMiIiIi8m+C2gnwHKoGTuZyc3MBALVr17a5XUFBAZo1awa9Xo9u3brhww8/RIcOHUS3LS0tRWlpqeHvvLw8AIBWq4VWq1Uo5Y6rTIMnpIU8G/MKScW8QnIwv5BUzCs+SKiKiqx9r/suZtvdRoy35Bc56dMIguARcaRer8e9996LnJwc7Nixw+p2u3fvxpkzZ9C5c2fk5ubi448/xrZt23D8+HE0btzYYvsZM2Zg5syZFsuXLVuGiIgIRa+BiIiIiMhbfHYsEBfyK9rifR5bLrrNi7ur6lmsbePNioqK8OijjyI3NxeRkZE2t/WYwOk///kP1q5dix07dogGQNZotVq0a9cOY8eOxfvvv2+xXqzGqUmTJrh27ZrdD8cdtFot4uPjMWTIEAQHB6udHPJgzCskFfMKycH8QlIxr/iesd/uw4GUHADAmfeHim7T+t0Nhv9b20aMt+SXvLw81KlTR1Lg5BFN9SZPnoy///4b27ZtkxU0AUBwcDC6du2Ks2fPiq4PDQ1FaGio6H6e9CV6WnrIczGvkFTMKyQH8wtJxbziO4wHh5DynTryvXt6fpGTNlVH1RMEAZMnT8bq1auxefNmtGjRQvYxdDodjh49igYNGrgghUREREREvknDIfNkUbXGadKkSVi2bBn++OMP1KhRA+np6QCAmjVrIjw8HAAwbtw4NGrUCLNnzwYAvPfee7jjjjvQqlUr5OTk4KOPPkJKSgqeeeYZ1a6DiIiIiIh8m6qB04IFCwAAAwcONFm+ePFiPPnkkwCA1NRUBARUVYzduHEDEyZMQHp6OmrVqoXu3btj165daN++vbuSTURERETk/VjhJIuqgZOUcSm2bt1q8venn36KTz/91EUpIiIiIiIisqRqHyciIiIiIlIHK5zkYeBERERERERkBwMnIiIiIiI/pGGVkywMnIiIiIiIiOxg4ERERERE5Ic4j5M8DJyIiIiIiIjsYOBERERERERkBwMnIiIiIiI/xMEh5GHgREREREREZAcDJyIiIiIiP8QaJ3kYOBEREREREdnBwImIiIiIyA9xOHJ5GDgRERERERHZwcCJiIiIiMgPsY+TPAyciIiIiIiI7GDgREREREREZAcDJyIiIiIiIjsYOBERERER+SENOznJwsCJiIiIiIjIDgZORERERER+iPVN8jBwIiIiIiIisoOBExERERGRH2IXJ3kYOBEREREREdnBwImIiIiIiMgOBk5ERERERH6ILfXkYeBERERERERkBwMnIiIiIiIiOxg4ERERERH5IQ2H1ZOFgRMREREREZEdDJyIiIiIiIjsYOBEREREROSH2FBPHgZOREREREREdjBwIiIiIiLyQxwbQh4GTkRERERERHYwcCIiIiIiIrKDgRMRERERkV9iWz05GDgRERERERHZwcCJiIiIiIjIDgZOREREREREdjBwIiIiIiIisoOBExERERERkR0MnIiIiIiI/BAnwJWHgRMREREREZEdDJyIiIiIiIjsYOBEREREROSH2FJPHgZOREREREREdjBwIiIiIiIiskPVwGn27Nm4/fbbUaNGDdSrVw+jR49GcnKy3f1WrlyJtm3bIiwsDJ06dUJcXJwbUktERERE5DukjKp3x621XZ8QL6Fq4JSQkIBJkyZhz549iI+Ph1arxdChQ1FYWGh1n127dmHs2LF4+umncejQIYwePRqjR4/GsWPH3JhyIiIiIiLfVysiRO0keIwgNU++bt06k7+XLFmCevXqITExEf379xfd5/PPP8fw4cPx6quvAgDef/99xMfH46uvvsLChQtdnmYiIiIiIvI/qgZO5nJzcwEAtWtbrxLcvXs3pk6darJs2LBhWLNmjej2paWlKC0tNfydl5cHANBqtdBqtU6m2HmVafCEtJBnY14hqZhXSA7mF5KKecX3CIJg+L+171Wv19vdRoy35Bc56fOYwEmv12PKlCno06cPOnbsaHW79PR01K9f32RZ/fr1kZ6eLrr97NmzMXPmTIvlGzZsQEREhHOJVlB8fLzaSSAvwbxCUjGvkBzMLyQV84rvSE8PQGXPHWtjBkjZxhZPzy9FRUWSt/WYwGnSpEk4duwYduzYoehx33zzTZMaqry8PDRp0gRDhw5FZGSkoudyhFarRXx8PIYMGYLg4GC1k0MejHmFpGJeITmYX0gq5hXfE5d7GEeyMwEAI0eOtLpNkp1txHhLfqlsjSaFRwROkydPxt9//41t27ahcePGNreNjo5GRkaGybKMjAxER0eLbh8aGorQ0FCL5cHBwR71JXpaeshzMa+QVMwrJAfzC0nFvOI7AgKqxomz9p1K2cYWT88vctKm6qh6giBg8uTJWL16NTZv3owWLVrY3Sc2NhabNm0yWRYfH4/Y2FhXJZOIiIiIiPycqjVOkyZNwrJly/DHH3+gRo0ahn5KNWvWRHh4OABg3LhxaNSoEWbPng0AePHFFzFgwADMmzcPo0aNwvLly3HgwAF88803ql0HEREREZG3kTKPE1VRtcZpwYIFyM3NxcCBA9GgQQPDvxUrVhi2SU1NRVpamuHv3r17Y9myZfjmm28QExODVatWYc2aNTYHlCAiIiIiInKGqjVOxkMgWrN161aLZQ8//DAefvhhF6SIiIiIiIjIkqo1TkREREREpA4N2FZPDgZOREREREQkiv2gqjBwIiIiIiIisoOBExERERGRP2JtkiwMnIiIiIiIiOxg4ERERERERGQHAyciIiIiIj/ElnryMHAiIiIiIiKyg4ETERERERGJEgS1U+A5GDgREREREfkhDSdpkoWBExERERERkR0MnIiIiIiIyCFHLufgUnaR2slwiyC1E0BERERERO7nbEO9lOuFuPernQCAi3NGOZ8gD8caJyIiIiIiku1kWr7aSXArBk5ERERERH5IytgQHD+iCgMnIiIiIiIiOxg4ERERERER2cHAiYiIiIjIDznbCs/fmvExcCIiIiIiIrKDgRMREREREZEdDJyIiIiIiPyQxsm2dn7WUo+BExERERERkT0MnIiIiIiIiOxg4ERERERE5If8ramdsxg4ERERERGRbM72kfI2DJyIiIiIiIjsYOBEREREROSP/KvCyGkMnIiIiIiISJTGRnTlb3EXAyciIiIiIiI7GDgRebnswjLc8+UOLN11Ue2kEBERkRexVZtElhg4EXm5LzadwdEruZj+53G1k0JERETksxg4EXm5Eq1O7SQQERGRH/Kz0cgZOBERERER+aISrQ6CIFhd72+Bj7MYOBERERER+ZjswjK0m7YOj3+3V+2k+AwGTkREREREPmbtsTQIArDz7HWr27DCSR4GTkREREREPibQDe3w/K2pHwMnIiIiIiIfE+BvUY0bOBQ4Xbp0CZcvXzb8vW/fPkyZMgXffPONYgkjIiIiIiLXYWwlj0OB06OPPootW7YAANLT0zFkyBDs27cPb7/9Nt577z1FE0hERERERJ7H3ybQdShwOnbsGHr27AkA+PXXX9GxY0fs2rULP//8M5YsWaJk+oicIggCsgvL1E6GS9kYZZSIiIiIFOJQ4KTVahEaGgoA2LhxI+69914AQNu2bZGWlqZc6oic9PpvR9Dt/XhsOZWpdlKIiIiIPIqkGiP/qlSyyaHAqUOHDli4cCG2b9+O+Ph4DB8+HABw9epV3HLLLYomkMgZvx6o6Iv32cbTKqeEiIiIiLyZQ4HTf//7XyxatAgDBw7E2LFjERMTAwD4888/DU34iDyJL7dmY8dOIiIiUoWflUGCHNlp4MCBuHbtGvLy8lCrVi3D8meffRYRERGKJY5IKeU6Xw6diIiIiOTjy1d5HKpxKi4uRmlpqSFoSklJwWeffYbk5GTUq1dP0QQSKeFEWp7aSSAiIiIiL+ZQ4HTffffhhx9+AADk5OSgV69emDdvHkaPHo0FCxYomkAiIiIiIvI8/lZh5VDgdPDgQfTr1w8AsGrVKtSvXx8pKSn44Ycf8MUXXyiaQPJducVaFJWVq50MIiIiIr/EpnryOBQ4FRUVoUaNGgCADRs24IEHHkBAQADuuOMOpKSkSD7Otm3bcM8996Bhw4bQaDRYs2aNze23bt0KjUZj8S89Pd2RyyAVlWh1iJm5Ae2nrVc7KV6P8zgRERERuZ5DgVOrVq2wZs0aXLp0CevXr8fQoUMBAJmZmYiMjJR8nMLCQsTExGD+/Pmyzp+cnIy0tDTDP/ar8j6XsosM/xdY8iciIiIiD+fQqHrTpk3Do48+ipdeegl33XUXYmNjAVTUPnXt2lXycUaMGIERI0bIPn+9evUQFRUlez/yHBqjumG9AASyqpiIiIhIOW4oW2n8rK2fQ4HTQw89hL59+yItLc0whxMADBo0CPfff79iibOmS5cuKC0tRceOHTFjxgz06dPH6ralpaUoLS01/J2XVzG6mlarhVardXla7alMgyekxZ30uqq+TaVlZQgOdKjyUxZv/4yt5RW9oLfYhvybvz5XyDHMLyQV84p3KS/XGf5v7TvT6+2XIQQb2+jKy62u85b8Iid9DgVOABAdHY3o6GhcvnwZANC4cWOXT37boEEDLFy4ED169EBpaSm+/fZbDBw4EHv37kW3bt1E95k9ezZmzpxpsXzDhg0eNedUfHy82klwq6xioDL7rV27DkEui5uqsnhcXJyrTuJW5nnl0qUAVLa69ZVrJGX423OFnMP8QlIxr3iHo5kaAIEArJcPUlPtlyHS0qxvczLH/jk8Pb8UFRXZ3+gmjeBABxO9Xo9Zs2Zh3rx5KCgoAADUqFEDL7/8Mt5++20EBMgvBWs0GqxevRqjR4+Wtd+AAQPQtGlT/Pjjj6LrxWqcmjRpgmvXrsnqj+UqWq0W8fHxGDJkCIKDg9VOjtukZhdh0Kc7AABH3h2E8JBAl5yn9bsbDP8/8/5Ql5zDXazllbfWHMfKxCsALK9x+9lr2HUuG1MHt3JLrR55Bn99rpBjmF9IKuYV77Iy8QreWnMcgPUy0Nhv9+FASo7NbV5ckYS4Yxmi22w/ew1PLT0ous5b8kteXh7q1KmD3Nxcu7GBQzVOb7/9Nr777jvMmTPH0Exux44dmDFjBkpKSvDBBx84cliH9OzZEzt27LC6PjQ0FKGhoRbLg4ODPepL9LT0uFpoSNW1BgYFITjY4cpPyXzl8zXPKwGaAJN1xiofZs3qVMe/72jmngSSx/C35wo5h/mFpGJe8Q5BgVUvpa19X9lFWrvbGFeImG8TFBhkdZ3xck/OL3LS5lBpdenSpfj2229x7733GpZ17twZjRo1wsSJE90aOB0+fBgNGjRw2/lIGQEmg0NwVD1nSOmXeeVGsesTQkRERF4lQEIhgqW0Kg4FTtnZ2Wjbtq3F8rZt2yI7O1vycQoKCnD27FnD3xcuXMDhw4dRu3ZtNG3aFG+++SauXLmCH374AQDw2WefoUWLFujQoQNKSkrw7bffYvPmzdiwYYO1U5DKSrQ66AUBESGmWS3AbFQ9IiIiIlKQhBernBJGHoc6PcTExOCrr76yWP7VV1+hc+fOko9z4MABdO3a1TCE+dSpU9G1a1dMmzYNAJCWlobU1FTD9mVlZXj55ZfRqVMnDBgwAElJSdi4cSMGDRrkyGWQiwmCgK7vxaP9tPUo0epM1gVoTLdztbo1LJtr+go+84iIiEgNfjYauWM1TnPnzsWoUaOwceNGwxxOu3fvxqVLl2SN6jVw4ECbheYlS5aY/P3aa6/htddecyTJpJLimwHT5RtFaFWvhmG5+TxOahAEAV9vPYdW9apjWIdodRJBRERERF7BoRqnAQMG4PTp07j//vuRk5ODnJwcPPDAAzh+/LjV0e2IjBm/oVCrj9Oe89n4aH0ynvsxUZXzu5O/vREiIiIi+5wtgZUbvf3OLfLs+ZqU4PBQZg0bNrQYBCIpKQnfffcdvvnmG6cTRv5D74YqJ7HYLDO/xOXnJSIiIlKFG95Ll+uqTpJXokXNCM8dPU8JnNiFXEZqRRIHh3A9Vjgpb//FbDy9ZD9Sr0ufOI+IiMiX+Fv5wvWT5xDZoVZTPQ3br5ETHl64GwCQVVCKPyf3VTk1REREZljMURxrnEgVxrES53FyPcaIrnM1h3NkERER+QNZNU4PPPCAzfU5OTnOpIVkKNHq8OfhqxjYpi7qRYapnRy7bMVGSsVNucVa1Ay31rbW8iSMJYiIiIgc528vZmUFTjVr1rS7fty4cU4liKSZs/YUluy6iEZR4dj5xl1qJ0eU1HhIiRqnb7efx6x/TuL90R3x7zuaOX08IiIiIp/nZBHM3xoNyQqcFi9e7Kp0kEwbT2YAAK54STMhW28klBgcYtY/JwEA7645ZiVw8rNXIkRERER2tImugfPXCtVOhtdgHydyC1tvJNQbHEKV06pCw8CRiIiIzLSqV93uNixBVGHgROQH/ClIJCIiIvfwt/IFAycv5Q0ZVfCohq9ig0N4wYdIXoD5iIiIyB8wcPJzs+NOYv6Ws6qmQa34SoDpbNdEjvGkFwRERETS8dWfPAyc/FjK9UIs2nYeH61PVjspqjAO2KauSFIvIeTVrhWUqZ0EIiIiVXhDCyglMXDyUko0MyvW6hRIifcyrieoHKXQV/nZc42IiIhIcQycyGWkN2BSp6mTZ/XBIiIiIiJPxsDJS/lb1aizGCMRERGRP5FUVGSBUhYGTkReTpBSY8cHIxERESnM30YoZuBEFnR6ARl5JU4fR2otD2uDXM+/HmtEREREymPg5KWUKAgbvyUw7u8z4YcD6PXhJmw/k6XAWTwDK1yIiIjIn/C9tPIYOPkxa028Np/KBAB8v+OCO5NDRERERG7k9HtlP3sxzcCJrHLlmwrjoM0db0R8uTmgv7UvJiIiIg/hw+UrMUFqJ4Aco1Gg7Zm23HZudzbYkDRoAUny7ppj0Ov16Bloua6grNzu/myqSERERI5QoszpKxg4+bGkyzk21zPs8Qy5RVr8uCcFANChh+X6f46k2T0Ga6WI3EcQBDz27V6EBgXg+ydvl13oSEzJxrWCMgzrEO2iFBKRP+Avv/IYOJFV7pog1peb0SlBb/QB6fhZEXm8q7kl2HXuOgCgqEyHaqHyfmofXLAbALD1lYFoXqea4ukjIqrkdGWSn0Vn7OPkpRQZVc/oIK4OXuQe/n/bzuOLTWdUO78nCTD6orz5Ooj8hfFLJ2cKJVdzihVIDRGRNA69MPezgglrnLyUEvnU1c23Ssv1hv9rdXobW5rS6vT4IO4kAOCRHk0QXTNM8bR5E43R6w3WzhEREZEn8ocyCmuc/Jjx4A1ZBaWKHz/Q6FVrWLDIqAYi6QBMm6aVaHWKp8vbGIe3jj6T2K+TyPu4uwxyLqsQ87ecRZGEAWeIyPNJeYY4/RLdz8oXrHHyUkrkU+M3A7nFWtSPDLO6Xslz2WMyMa9ySfBabKrn+S5lF6FJ7Qi1k0E+xt1vb4d/sRMAcL2gDNPuae/ekxMReQHWOPkxe7UQag0nbpwuvT/U+9rhzr5o5Jg/k66qnQTyUM7cs2o9gw9duqHKeYlIWXJfsjv0vPKzcgkDJ2+lQJWTvepZJQvpJ9LyJG9r0jTNz25IexxuqqdoKojIl/G5S+Sftp3JUjsJHo+BEwEQ/6FU8sczzcboUObn4W+2dY5+J+zj5FrnsgrUTgJ5KGfuPbUCGD6DifyH8TPq4rVCBw5Q9V+1asndiYETuYWtW+mkzdoo378J5eCn4Zn0en4zpDzmKiJyJ4eeOX72oGLg5KXcUYFQ+eZAEATM/Os4vtl2zvFj2bixpv6a5NB+/ogfBxG5HB+8ROQAV09z4wkYOPmxoABpGfxkWj4W77yID+NOOXwuR6tv+fNtiuUZz8SvhVxBbDLKc1kFeHrJfhy+lOO687rsyETkyZwtY7CpHvm0tg1q2FxfeQMpMaeHnJvReFulAgWHZsN2QIlWhy3JmR43/5SGnZyIVOHcqHqWnlqyH5tOZWL0/J2OH5iI/IKU336nSwd+NvIvAycvpURB2O6oek6fwfmDe9vbi9d/O4Lxi/fjzd+PWqwTBAEnruahrFzv8PG969MgIqVdyi5y+Tn8ofBD5A/kvjS2tnVRqY0X6H72vGDgRABsByhqVla48gfcFcf+43DFfD6rD12xWLd010WM/GI7Jv6c6PDx/ez5RERERG5iLdA6k8mRYysxcCKP5ktvPr/dcQEAsPFkpsopISJ3uVFU5vjOIs8/dzS79baafiJSkclw5L6PgZOXUuKn050/jo72MRJL45WcYqeau3k1B7+ylQcuKZsOIpIkI6/E4X3Fnn9uGVHVH0o/RARAWqsivkypwsCJJHD+p1rW4BBGN6j5focv5aDPnM2yO0aLnd6fHgQXr7u+X4Q/Y0GTXIH5iog8gd7Wu2o/e04xcPJSSrTWcOd4+9cLnWiuYmTNzb5DJ2xOmuu7/Oz5JEteiRbXCkrVTgaRCaWDH3f0OWXARuQb5DbtVfreLyorx9Y0DVLdMKiNuzBwIgCu/6FcsuuiIscJDfa/LMtCjDSdZ2xAj1kbkVeiVTsp5OeU6ofEe5+IPIHe1sPIZDhy0+0+2XgWqy8GYuSXu1yUMvfzv1IoGUhtqqbmqHrmN2tooGNZlrMYeb5ynR63f7ARM/867tRxLmQVKpQiIscoNW+c2FHc0VKA8RqR/5Dyosdm4GTD3vPZAIBSH+qXzsDJSyn94+mp86Oa36tBDgZOon2cWDrwKB9vOI2s/FIs3nlR7aQQeQR3TdztKeclImUp9hLHxmGCA6rKZRZBmKcWLp3AwIkAWLkpbi6zle0FQcDGExmikzI6ersap8X8GL53C1KlQ6k31E6Cw1jMJGsULzfwIUhELmKtJZKt37j6kaGG/4cHB5qs88XHFQMnP2Zca5VX7Fi/kM2nMvHMDwfQb+4WpZJlk78XUP39+j2FTm/6TfANPVnneNGBuYqI3Ol6gfhAXlJ/4q7kFCuYGs+kauC0bds23HPPPWjYsCE0Gg3WrFljd5+tW7eiW7duCA0NRatWrbBkyRKXp9NXGb9ZeGVVkkPH2HcxW6nkiDIvchjXbJVodS49N5E145fsVzsJ5DUcD3/ECiucx4mIpJI7UM2ibedFl0t9OXguq8Ds/LJO7xVUDZwKCwsRExOD+fPnS9r+woULGDVqFO68804cPnwYU6ZMwTPPPIP169e7OKW+71K29bcEtm48qX2twoIDkF+ixfYzWRZv6+Uw3tMXb0jyDttOZ5n8rdQoauQbjPMDgxAi8le++NMYpObJR4wYgREjRkjefuHChWjRogXmzZsHAGjXrh127NiBTz/9FMOGDXNVMv2Xghm+YVQ4/vXNHhy/mofXh7fFg90aSdpPqTKHNxReBEGwWwD3hutwlC8+YMk/ubLpplvmcWIjQSIy4ugTwZ3zhbqLqoGTXLt378bgwYNNlg0bNgxTpkyxuk9paSlKS6smxczLq5g4VavVQqtVf76XyjTIT0tVNhbb93pBKTQaDWpXC7F6hPLyctG0VNLr9dBqtdAZbWe+jWA0nbT5Oq223Gg7AcevVnz2vyVewr2d61s9t9aoCV55ebnJOkEwPl85AgTLIS7FP0vBYrlOZ9rUT+n8YHE8wfp3dr2gFPd9vQd3d47GG8PbmB3H9vekxDpPINj4fOQwzzPuUHmveArHnyukBONnqzP5UWxf42KIUt+vxXNdsHxeEgF8tngbnc56+a2ScTnO2na2fp+1Js87ndl6ZX7XXU1O2rwqcEpPT0f9+qYF7vr16yMvLw/FxcUIDw+32Gf27NmYOXOmxfINGzYgIiLCZWmVKz4+Xtb2efmBqPwJjYuLM1mn1QOv7K34aj+5oxyBGuB6ScXyaKNLvlQAGGeBquNULLuRfQNxcXFIMdrO/FznUgNQ2eLTfF2Jrmq/qzmFhvQWFBRg06ZNVs4NlBntt2vnTlypYZTmS1XnW79uHYIMjU3Fj1W5XFumtUhfUpYGQKCV/RxlLR1AUbH17+zPlABk5Afgu50p6Kw/Z7Ku1OjzAMTyivVz2l7nWa5ft56XpKm41p07d+JyDTubOs300Zl29Sri4i67+qSyyX2ukDKyS4HKPLJ7925kyJ6arGLfgwcPQpdi+q5Xp7P+HFFKfn6Bxz8vSF18tniHI5lV5Rxr9/SpK/bLQqVl1p876UVA5TPr6NEjqJZR1Wc+N9f1zyslFBVZjgxtjVcFTo548803MXXqVMPfeXl5aNKkCYYOHYrIyEgVU1ZBq9UiPj4eQ4YMQXBwsOT9vj6/C2lFFZ3wRo4cabIuLbcE2LsNAHDn4KGoHhqE1u9uAADse3MgakVU1EIdvZILHN1r2K/yOC/urti2Vu1aGDmyJ45czsUnN7czP9ep+DPYeOWC6LqC0nK8vm8zAKBUV/WetHr16rjrru6YlrjN4txAxaAPr+7bBADo3acPYhrXNKxL+P0Y9mVdBQAMGz4coTcjp8o0mx+rcnlwSDBGjjRtztnsah5+OrtHdD9HWUsHAMw9uQ0oLRFdd3T9aeDqRdF1haXleO3m5wjAIq/YOqetdZ5mWfp+nM2rGJLckbRWXmudVjEY2d20KWhRWTk2nszCwNvqIDJc+n1m71yVGjRoiJEjOzt9XKU4+lwx9txPh5BfWo6fn+rBPlwyXckpxsyD2wEAvXv3RremUbL2r8xfXbt1w/AOpi8L30zchLKKt0ui98mibRfw15E0/PTU7YiKkPbdV+aXStWqV8fIkX1kpZn8gxLPFnKfkkNX8PO5ijc31n5XL227gL9Tzxj+Ftvu3UObgZs1S+brz2QWYHbSLgBAp06dTX5/v03ZjUuF+TbP7wkqW6NJ4VWBU3R0NDIyMkyWZWRkIDIyUrS2CQBCQ0MRGhpqsTw4ONijbnq56TEuyJjvFxRUbrIuOLjqa87IL0e9mtVubmf69ZsfJ0ATYLG/+TaBgYFW1wXrxQtbZ7MKLbc1+ltnNGZJUFCQyboAo4nWgoODEBxkOmeAWDoqaEQ+J9vX7yzL41n/zgJNrsv65yjAdl6xdQ2elN/F2MrTcvyaeAWP3tHcZNn0345hzeGr6NWiNlY8F+vwsa0KsMxfnsDR55xWp8fm5IoBMK7kadGiTjWlk+bTgoKqmn0cvpyHXi3rOnacwEDZ9/TH8RUFoCV7UvHqsLYOnVej8cz8TJ7D08pQJC4w0Hr5rVJAoOk4cWLbGY/pZVFGMSpLmT+zNAHK/K67mpy0edU8TrGxsTebeFWJj49HbKwLCkJezJ3detV8Ee1tAyXY+qykXoqXXbLHWHO4opZy7wXXDp9PBJi+BLh8w/F5TcTud6mPXK3OmWHQ+aQh8hdSBnAoKC23uw1gObCMLw4OoWrgVFBQgMOHD+Pw4cMAKoYbP3z4MFJTUwFUNLMbN26cYfvnn38e58+fx2uvvYZTp07h66+/xq+//oqXXnpJjeSrSmrTGTlZtlxnOdCCGmz9ZvveLUhKU6PI5458qdMLJvOYuQsL0fIp9ZmJHaawTNr8dfzeiCg9t+rFjRpzX/piK29VA6cDBw6ga9eu6Nq1KwBg6tSp6Nq1K6ZNmwYASEtLMwRRANCiRQv8888/iI+PR0xMDObNm4dvv/3W54civ15QinXH0qBVILCxNcystemVbL0xUPOe8LYbUpFyDMtC9vlogXHysoPoN3cL/ky6qnZSSAZvHNrb+1JMRGKcqXkmcar2cRo4cKDNt2JLliwR3efQoUMuTJXnGf31TlzKLsbUIbfhhUGtFTuuI+VLKXMNeavJyw7iq0e7qZ0Mv6VUlb4qNU5uuCfWHksHACxKOId7Yxq69Fy+eYerw5k43pmgy6n3ByxrEZECfPG3xKv6OPmrS9kVVa3rbhacANuZUekmGjbLhD4URP19JM2lx7f1UZVLfCvE8ox9alQ4+XKzKN+9Mvf4eW+q/Y2IiFQitxhn6/eufmSY2bF9p4xYiYGTFzmRJn24REeY5+/Kt522yoQp1wsVT4fxW1alCqS5xa6feK203PH2w2uPuTZo8wbHr+aqnQQij+JcbZU6+xKR5zAu1znzPKkRar2BmvFhm9Q2nR/V98ImBk4+yVaEX2TUsdjePbT/4g2LZeY33sXrru2sfsmJEanc6fONZ9DmnXU2t7H10LpeWKZwirxPXom0UXvsUaNPiVJn9JQBWsi/+XINKpE/UaoJvF4wfqEt4/w+GDkxcPIylaNq2Rod5WxmgdV187eclX1OmxnfxT+wL/xi2p/NU3/OP9142mXHlnPNRWXKBB/ezFvLfMeu5KLdtHX4ctMZm9v54g8RKc+Z+8DVL8SIyD2kvEiU8pMS2/IW5xPjIxg4eZl+c7cAAM5fs95ELqeoqvbi2BXT5k9XjGpwzG8WKTePJ5VJva2ArESB194lf7v9gvMn8XLWRof0dG+vPgqtTsC8eNcF4eQeSj2bvDQrE5EXkfKc6dQoStb2voyBk48rMpvzw9kMfyrdtf2s7PH3l+0bLtu+ZVcmXnJTSjyXGs2MlOjrl3TZvX28Zq89iTlrT7n1nERE5H2kvvjdbzbJ/IGUHOUTozIGTj7IVrnxglFNlflmUkY/SU7Pl5EOxwqwNifA9eLISYny/Ikc27es1NH5SFnHrrjvhYISbdZzisqwKOE8FiacsztwirfV7PoSZ14CeOP8UUTk+Ww9l45e8f1Bnhg4kYGzxTGtTo8zGflue+PvzUGUBZZxFHNKRnDvr4wnRdR7a9tGD+ZTzyYj2YVlSEyxHDSIiHybjz7SHMLAyccp8dbRViHA+OjP/nAAQz7dhl8P2G8u5mhs5c1vv21/jl58YeRWShfKmfOU583PKVv6z92CBxfswrbTWWonhYgkkNJCQe7zykcfb5IxcPJBSo3bLybArNRmfPwtyRU/pot3XlT2pD7ishuGVvfVAhtVUSJushd8CTb+IvfxtPu5oLRi1M7NpzJVTgkRyWXtBa2kkfck/vB42CPLJRg4eaGs/FK1k2DQt3UdtZNggU2PSA2ePPeN1sb8UJ6cbnIcv1YickWzYZv90JU/ncdh4OSFHlywy+Z6pX8wbVX1NqkVYXWdo2wlX8pDYPf566LLZ/19AiM+325zDixvcL2g1DCfF7nf5xvF51n6M+mqm1MizfJ9qWj99lpsOplhWOYPP26+QOkmvEVl5Vh3LJ3zvRGRLFIGDwNY40QeKtVOodmV/WWk3DvuetNp7TzFZeKB0bc7LuBkWh7+POyZBVyp7vhvAvrN3WIyX1el9LwSFVLkX6xNdrz9zDU3p0SaN34/CgB4/qdE0fX+8EPnab7dfh5DP01we+uBl39NwvM/JeLVlUfcel4iUodxOUmpxjj+3iebgRPZZStYcvfoUVI6OursRG56D2vDsnxfqskoZ1JdvM5aJ2t0ekHVWrn8Ei0+jT+Ns5kFyh9cgZtO6ttDco1Z/5zE6YwCfLFJvPayktKPqrXH0gEA/xxNc+o4bN5J5B2MH/WvrxJ/YcLbWR4GTh5OiYk1rQkPDrS7jSNvRF35NkLKsZ/7MdGrmrJV1gg4KiTQP27jEq3Oam2iuf/8lIh+c7fgL5Waz73/9wl8vukMBn+SoMr55bD3o8kfVdcpK7fe98xZDG6IyNi64+mKHMffHy3+UeLyUjq9gAEfbXXqGLYyeLVQ08Dp8OUci23mbzlr8rf5m2qx99auvKmMj23rpfnHG5JdlwgP0+vW2monweX0egGdZqxHu2nrbA50UGnDiYr+PN9sO+/qpIk6lJqjynltMa6tdbS+6avNFcHgjULLZqIkn7c2efHOVBORo4zLW1dzXD9CsCdj4OTBHH0baVxAkvMDdzItz2KZIAgmN4x5gcs1I7ZYT7XU6ynV6q1O1GhzPiV/f5XioYq0OkNzxkwPGlVSDUrfcnIK7x9vqGh+uEilgNTfOPM44pOMiIwpVb6xNbWKPxShGDj5ODk3ilIZ3l4fI2dIPfS64+l2Rx8UE3dUmapsUpZxsCArT6tUfPTILkTGL0DszeNk9LGJfYLlEmr9/JnULOoPhQwi8gzWHjfWfg8EQcA3285h59lrkvqX+wsGTh7gr5QAPPPjQejMhjxxd6HP6k0l84Y5n+W6fllKsHU9vx28bPj/W6uPYtLPBz22FsqfHmOunNTZX1jNL/w8VWPvo3fmq3FXk2ki8lymLx3Ft6keGmTyd+WLsc2nMvFh3Ck89u1ek/X+fvszcPIAG68GIOH0NWw/k4U+czbjtrfXOtVp2OGASxDw3l8nbG6i1Jv064We2dzqxNWK5oo6vYBle1Pxz9E0XLjm2YGgr2jXINLqOkffdqlVwHPl2zkl7kG+PXQtqd+RvWanzry0+d3oJRARkVRnsypGgzUeZMv4mXbRz8tEDJw8yJZTmbiSU4wynR4/7L7ocKHP0f2OXM7F9zsvmB7LbJtys2GzHS2A/XPE+nC4UpPvikJxYanlxJDmNYGextGhpYvLdJiz9hQOpYr3BXO36kaDlRy7kmtSaHS0xklsW29vZuZoyGO1OYbDKSFnbTud5bJjF0ocgdIR3jqoBRE5b9OpTLWToCoGTh4kq6Dq7ePeC9mK/DTJOcbKRPE3lMYFrikrDjuVnkqn0vMd2s/aD3Z0ZJj0g9y8HrFCtWC6ickyXzN/y1ksTDiH+7+W3xfM1e7+cgcWJogPQGCcB24UlmH1ocuShykHgPwSy+BYaZ7Yx8nkJYcHpo8s+eqzh4g8l1jZyNF+xr6IgZMHMa7N8ZRaDrvlKwcLYJsdfWNh9LEYF5YDZKSj8nO+JtJc0BMfCPbS5Giaz2Q6Fry6innt5TfbzlWts1Lj9Ph3e/HSiiS897ftJqYm55GZZ9NzSzD4kwT8sPuivB19TE5R1RDkAoBnfziA2WtPqpcgIiLyMJ5XhlIaAycPknK9qj2plLlqpLBVpr5W4PxcLO5+cW18Oc//lIjzWQXoPXsTruaWSD7GW6uPQqcXsGDrOfsbw3M7QlcGANaa6sXfnMvI6v4eVu0gtfmP8VbHb/ZJ++eI+ES3YkeUe91z15/C2cwCTPvjuEdMrHxJZChYvV7A9D+OYZWVWmNbpE6A+7/tVTWAiSk3sOFEBhZZqRX0d4o9M0SOUyMsyHKhm13K9u95XIh8mWiNEwdoMmDg5EFc0W68tFy8CVOJVofR83dKOoYnFa+Na1f2XsjG9D+PywqaKqXlFkMvUqsnVtHn7vb8WfmlKNHqLPr5WGPt+5nwwwGb+wV46d0vb4h9578744Fa1tuYeT3dgXzoiCyRAQU2ncrE0t0peGVlktX9TOZjszccuUie1xrViDszeI23KS7TYfuZLFkvs5R6Zogdp1FUuCLHdkaCC/tmEZG63vv7+M05POWX/vKKXd8UXm1eWnTyTcZvwnOKtA4X+ox3S71u+YZcEATJMz9vOpWJG0Vaq+tt3ViOFh1sXbb5qtxi62lz6NwiqXa07P311rP4v18OiQZottz+wUaM/GI77v5yB1YfuuLYySXwtBon8/Q4OuiFhBPJ21xiOnacvYbFNwdXcVnarbhRaL/22FqKHCnke2IfLleZ+HMi/v3dPvx37SnJ+7jy3nK0fygR+R9HntV7zmfj0KUc0+NIfKa5csAbT8HAyYMYZ/CjV3Jxo1BaUHCtwPqQtmJFoi3JmSjRSnt7evlGMR5ZtFvStu5gHoMcuZzr8LHEHiiVQZKcouSBi9miy+euS8ZfSVex/ew1i3Xzt5y1eczKubB+PXBJRkoq5JdoRUcHNOethV+x78aVdYJyPqb3ZfS1siUxRd5Ih3KDHznXVHlsT+l36W5bkisKAj/tTXH7uf30IycihTj6Es+8DFFmVOOut/E2OTTY98MK379CL5aYKl4gN/fE9/tM/jbO0htPWvZzScstwbErjgccxtxd9rZ1w8qVI1KT5sjRJ/580OZ6sRHfPlqf7MCZxJk/FzvN2IAO09dL2M+zIqd9VgJQwHPaVNurAaws6Dr7yZ5Kz5O1vZTPx9r3LfWz3STyLCHXWrLzotpJICKSXGbxlN9qV2Lg5EHMCzZSM2BlB/lKtasFG/5/5LJ4P5nXfjsiP4GeQKGbcv6WsziTWSDtlCo+CGydW25zoPwS00DR3kiEfyZdxV0fb8XpDHWaBlltWubkPE5yGX9u5veamLij1ucok0rO8OqAtNvCdF4s6XmnMp8VGL2B9LCY22clq3TvEZF/+2qz9VYxcrpT+CIGTh7EvCziaKGvoQd0HvZ0v+yz0gTOgcEh1H5QSC3Dzjbro2Fvvxd+OYTz1wrx4vLDjiTLhWxMwGWx2HKF3EJ/ZVMtqSb+fNAjAwtrE6Lay7+c7FQ+fmZE5M32XsjGuSzxl8u2nm+eOKWL0hg4qWzPeRvNk2Qc57sdF0zmvfE2/xxJq+pUaPNthmtvSrGmgPaeA1I65nsC8+aZARJL9yVaebUfUun1gkOjs4l9H/kS+nRV8sCYxmlyf6vkfAZpbhot0NPJqeENDuRPKxF5N2uTxdv7vTmVnoctjs7V6QXUnxDCz/17cdWQ0eblWDmRe2Wn9Ie6N1EkXVIp9WZ90rKKfkIX54yyuZ2rX2Y4cvhyuz24PfQNjMTvzlVvkB5YsAvnMguw7+3BCA8JtFhvLW956Kdpwt01Ts68ULD3/f6WeBl3tqnn8PH9UaCcGbmJiFzEFb/fto4oABj+2XYAQNwL/RQ/tyfgazEPokT+7vZ+PH7Zm+r8gSRyewHR1YGTC06QIjIkvBKc/uxVjkAOX8pBfmk5DqRIGwSlkrN9nDwx8DIfwUjt1g7i59cY/Y+BARGRtzubmY9pfxxX7HjGvx1nMn2zjyYDJw9yIk3eSFrWLN3t/mFz3UXJUfXEuOLo9muk1BFvNEqarbmmXJ36vOJyWUNdy6ldUeuTtxdYCIJgMo3A9D9Nf7jk1iA5c1uoHaQREZFr2BsI6L6vdip6PvZxIlUplf98KR/fVr+GS49vmMfJ6ENz9vOz9tx6+dckbD5le4hnJb8682QYt1+21UfI1fln0rKDGD3f8uF9rUC875ggVNTQXLcxf5ktnnA/TFlxGD1mbcTW5Ip24BuOpzt1PHdfkicOfkFERPJYGzQIsDGZLUfVI091/lqhS47rCQVHW2y9bW96S4QbU1IhUWZTMnPWPu/fDl7GU0sOiK+UwdPmY5Ji4wnTgPGojHnFBAHoOGM9us/aKGFbz8zsfxy+CgBYsFV8QJd/jsoMpFx4nd6Yv1yBHwMR+ZPrVga+stkiwjN/chXFwMmDLUxwzSh5yenKtTt1e18HFW5KWxOz+gNXjGQ4+RfbkwbbIkDw+OBfTiAoJulSjjIJUUDlHW4cODCGsM3T8yeRKx24mI1nlu5Hqov695K6HH2+mc8l6a0YOPmhH/d4Vx+oJxfvs9kHR2nmtRSuaqqnhEvZRdiswLCfttLoikJguc7+Qa2OqicjPeeyLGttxZpHemrNlFTOpF7qpTNYIiIpHlq4GxtPZhpGyyXfYm9UPWuk/O57AwZO5PG2Jmfh570VwZ47JpbckmwaiDhbpj56ORdFZdLnGZKj39wtLjmuq0kZMMNVBfWXViSZ/K3TC2jxZhyav/GPrEEqlKBUUO3lcZ9XKLLRF4AqRud6fdURXMr2j1qGorJykwFeyNLVnGK1k0AuYOtFo63+4b7yM8XAibzCuzeHy3RHATEh2UqHSCPf77iAaX8ck1RTsfZYOh5csNuxxNg4/NlM8Vm9rbJRSrdVfve0QvnB1BuKHu/E1arRLP8+clXRY0vl6Ed8+UYRfth9EcUyJyl2+is1ykv7bzZlLdHqsO9CttuDT3KN0nJ5eer+r3dhxYFLeGap8/02vUGXmfHoMWsjsr1kAnRvMP2PY/hi0xm1k0F2OFrj5CsYOPkBV2ZkpWuABEH9/itSmjK+9/cJ/LA7RXIh/qRCQ80bS0xRLoDwxAEArKVJyTknANM8nJXvXW+QR3y2HdP+OI6P1ye77ByVX4O1LHL0ckV/rud/SsQji3bjq81nAVQ0Iy0r17ssXeRah1JzZG1fOUpncoZvzt1irkxXkbed7c/oy+T8rJzNLMDS3Sn4JP606xJEirBVRlO7/OYODJz8QInMt9FyKD04xH9+st0m2h33pJwX5gWlrm++Yy05SsY6nhc2KZcme02H1HzQV94/BTaGg7elchh5Z+YKs/fyw97nU7l6682a2h/3XMS+C9noN3cLHlywy+F0kbp8oT+CVqd3ef9Yb+8f6VqWT/EL1wrx1uqjFgNHuLKcQso6lW79RbCt3xNfuVcYOPkBrc573vquc3I+G6UY3962Jt119YPA1oh+7gp21HrYKRUYvv/3CcnbuvtSK6/RR35PDFYlXgLgv2/j3dEXk2wr0epw+wcbcf/Xyk7wSdKJPcPHfrMHy/amYtz3e92fID/kisYkJVppZUpffQ4ycCKvEhzoWVlWzQLv0t3yRkd09Pmp1iVqFXrjXWqnuZiaj3ZPCCzsNaez98N70Wy+uVKt3v3TFBCZOXwpBzlFWiRdVv8e81diT4H0vBIAwEUbQ5VvOpnhM7UTnqbcxS/SbQVVvvKNelYplFxC6ULMgI+24I/DV+xu5+hzz9ZuNcKCHDuoi/jKG5XKHzN/5+7vs7JfiJrWSLiXAdPniPE8U+YDU+SXlnOyWB/gLd9hWbne5YVBW3zjF8BxtgYRkZOHjMsLTy89oMg0G2Tp4w3sQ+YsBk4kW8r1Iry4/LAq51bjJZTNEWS86Fcz00ZwlFtsfWI6b7pGMfaSb/xm87dEaUGEL7E3IIa9so9YU1ZvKXQ7QxAEnxmO+vudF/HJ0UCTZd5w35fr9Lhj9iYM+GirRQ2FH2RB1a0/no4276zD4p0XFD+2v0887yoLE8657Vy5RabliqM+UvvLwInICd408vLVXOuBk83hyL38neq207aHl88wCii9ZUSwYhtzCskdRlpKAVmvF6zWSort/8u+S7LS4I1mrz2FHrM2YlXiZbWTYnA+S+YUBTfNXncaKQXyQg1P6Mx/JacY2YVluJJTbNFEyG0jhXr349EpL/xyCAAw8y/xfqQB/vAGhayaYZYvTtoYVMKbeETgNH/+fDRv3hxhYWHo1asX9u3bZ3XbJUuWQKPRmPwLCwtzY2rJmD88F3efu251na+0w/bnH7gyLxw9rMxG06SSMuebLZln653nrtnY1vs+PyV8s+08AGDWP9IHH3G1OWtPue1cj/5vj92XEq5m3HzU/AWPHz/SPAa/AvV5Un9TW2Upb6J64LRixQpMnToV06dPx8GDBxETE4Nhw4YhM9N6+9bIyEikpaUZ/qWkyOsk73dUuG8Opd7Akcs57j+xC9gaKtodNU6n011fC2KrkOHr5eK/k9SZ9NZTrEy8jKRLOSgt11kM9ABUvLkvsNEXy8ezh11i94da98yVnGLFjpWWa/tYB1NzMO77fYpPSC2H8XPL/DP3nOKicgRBwKHUGxZNoHyBt7ds8FRin6taL7u2n7H+As6bqB44ffLJJ5gwYQLGjx+P9u3bY+HChYiIiMD3339vdR+NRoPo6GjDv/r167sxxSTF/V/vwr+/s15zaIt3vcF2fVofWrjb5eewRc1vI91G80Kl3Cgqc/k5bHHoGh38UjLzxc913/ydeODrXRj48VbM/Os4nl6632Q9395b5ynPq7OZBTh+VbmmMK+uOiJpuyNGA4Woyfxb8MU8u/lUJu7/ehcGfZKgdlIA2P+M5TSXNL+NfpQ5aixJVznnHjlG1SHKysrKkJiYiDfffNOwLCAgAIMHD8bu3dYLiwUFBWjWrBn0ej26deuGDz/8EB06dBDdtrS0FKWlVR148/Iqfli0Wi20WnXf2rirY7Gu3DXXqdVqoZXZn0LSccvF325rtVrodO4ZhexQimmVsrW8UqZVf1Q0OaxdR3l5ufX7QRBUu1deXH4QPz11O8ps9OlxhPH1mBd8lb5We8fbekp87jJb+2nLtbC2WluuReUq82P0/GATzrw/FFqRfFtZ6F6886LJckGvh05n/fMv1+ltp1Xl56ySysrKLAqDAiyvsdzsGebM5yN1380nLfORs9+LlG10esvv313fufHvQVmZFtqAqntZZ/Tb5Eh6dHoBOUVluKV6qM3tynU2np0KW3csDUBF2UGt+6ryvFqt1iTYEU+P7d8O43Xm90xRmc6nnh1q0Ys06z6flY++LWs5dVyT705GOchTv1M56VI1cLp27Rp0Op1FjVH9+vVx6pR4W+02bdrg+++/R+fOnZGbm4uPP/4YvXv3xvHjx9G4cWOL7WfPno2ZM2daLN+wYQMiIiKUuRAHfZccAHdU+m3YEA9XfNVxcXFIytIACLS7rRybNm6EWHrj4uKQdF3584n5a/Nuk/PExcWZbVGRvoOHDrklPUoxvY6qz3jXzp24VN1864r1JaWlItfvLGn58fjlbMTFxaEiblIuDxtfT3Z2IIwb9lj7rpU4l9gxjx09ArE8ZCsdGzbEo1qweNri4+MREVT1f/NtPvp5LVpGCqL7itl68ipuKbksmkYAuHr1KuLiLls9nvJ5x92qrmvWj+vQvY5gsrxcq7W4xhulpvvZ+i7t5Q+p+564avlslH5eqd+d5XYnjh9HXPYxO2l2DePPecOGDQg3St7F/Kp1jqTni2OBOJevwaudy9G4mtgWFcfev/8Ais66p9bxyuWqMoPa91V8fDz0uqpnp1h+Ki4ulpwHUwpM11kekxxx+orlc+G44Z4FHP19M/5u0oqkH8dTv9OiIuvzipnzrElxJIiNjUVsbKzh7969e6Ndu3ZYtGgR3n//fYvt33zzTUydOtXwd15eHpo0aYKhQ4ciMjLSLWm2ZuGF3QBc339l6NAheGP/FsWPO3LkSJQnpeHHs0cVPW7/O+8CDmwTPV/QiQx8fzpJ0fOJiYmJwY9njxn+HjlypMn6F3dvAAB06dIVOC2tSYsnML6OymsAgDqtYjCyWyOTbSvXh4SEYuTIgYqmw/jcthRoNRg5ciSKy3R4dd8mxc5v/Dn8eHUfzufniK4DpKdVyrnEjtklJgY/GeU1KekYPGQwakWEiKZtyJAhiAiqKNgMGTIE2G167y89G4w9bwzE6/s2S0p/TpkGPbp3x3fJh0XXN2jQACNHxlj9nMSu35sYX9flgGi8O7KryfLAoGCMHDnMZJ+03BLMOFj1DLP1XdrLH7b2HTh4KCJCKn7GM3alYE1Kssm2Us8r9bsT2659hw4YeUdTu9fkqHKdHt9sv4jYlrXRtUmUyTrjz3nwkCGoGR5sWHf4Ug4+PbbP4fRUXk9aeAs8O7Kd1fU9evTAnW3qyj6+NeU6PbadvY6uTWqiVkSIybr9f5/EroyKESvVuq+0Wq3h2RJ4IAHam6MZiuWniPBwjBzZ32R/a/nkyOVcfHJ0r8m23v7s8ASXtl0AUs+YLDtVGoW37+yB2etOA3BsCg7j7+ZMRgHmJO2SvZ8nqWyNJoWqgVOdOnUQGBiIjIwMk+UZGRmIjo6WdIzg4GB07doVZ8+eFV0fGhqK0FDLqvbg4GAEBweL7OFG7mqEHeCarzk4OBg1wkPsbyjTv78/YPV8gYHuybJX80z7vVjLKwGB3lPbBFi/jjdWH8e/ejUXXafRWN/PHYKDg1EuKFsza3w95k2vlL5We8cLDBLPQ4GBQQgIEH9GBAdZf35VrLN9brnXGBRk/b7TaAJsHi/pSj56NK9tuuxSDhrVCkcdO82gPI1GoxG9VvNlQUHlNtdLXWdv/aWcMnRsFA6gopm7nH0LtQKiImw/v6Xkk4AAy+9fyXvolwMX8emms/h0E3BxziiTdSHBVc3xgoKCTM5rnGfF0pN6vQibT2XgXz2bIizY+nM8MTXX5vUEBgZarBcEAd/tuIDOjaPQs0VtK3uKW7z7HD6MO4Vmt0Qg4dU7TdYFGz0r1C6/SPnONQHi94vYPoEizxi1r9EXpIvM03ciLR/dP3TuZbq9707Kfp5ETrpUHRwiJCQE3bt3x6ZNVW+S9Xo9Nm3aZFKrZItOp8PRo0fRoEEDVyXTZU6muWdM+y83n7G/kYOCApUP/i5el15l6iqfxEubXdtXhtcEgM2nMuxvdNOxK7lYlXjZYzrG+6IdZ20MAe7EcR15X+PMPF8LE86b/H0o9Qbum78TPWZtlJ8QMhEcaPsnPDOvBKcz8kUHIHlnjWUtpyc6m2l9biqbo+oZrRR7Tg36ZCtm/HUCn260/ax35Hd6/fEMzPrnJB5ZJH9gn3+OVvRVSxH5HQyy8iLFU3nSUNj+6qc9qWonweeo3lRv6tSpeOKJJ9CjRw/07NkTn332GQoLCzF+/HgAwLhx49CoUSPMnj0bAPDee+/hjjvuQKtWrZCTk4OPPvoIKSkpeOaZZ9S8DI+29qh453Ny3i/7fOehNH/LOdzVVtoIlXd/uQMAUCsiGIPauXZUy8LScq+eZ6q0XIdQK7VKAKC1Mo9UiVaHn/ak4OK1Qrw9yrKpkDs5M1x9odlw/rt86GWDNe56nWDvxdX6Exl492aAZF5bk+Ql00XYukLjdRaj6hmvEyzzcOV9t+d8thOpE3dBZFh/JXjbczBLpLaDyNupHjiNGTMGWVlZmDZtGtLT09GlSxesW7fOMGBEamqqSROEGzduYMKECUhPT0etWrXQvXt37Nq1C+3bt1frEjxeep7rh3R2H9ZwuIq12iNbBeOky7kuD5ye/ykR3/y7h8uOb359O85cQ9/WdRQ7fmLKDfRuaf14r1kZ9jk1uwiz/jkJABjRybRG3VZN36cbT6NmWCBudSCt1jgTOJnvW1ru/AS9ahG7VCm1rp9sSMbUoW0UT0+gnYL0u0a1Subp9JbKYptDWpvUOFmfANeVlyr2ObosvvGwuKlEa/teLtZKHw2VrRfIW6geOAHA5MmTMXnyZNF1W7duNfn7008/xaeffuqGVBGRK5SLDI9qi6snzTMv5Dz+3V6Lt/NqqAyaAMtJmG0VMZbsuggAmNsT+GmvMjWitprcyJ24MuW6a97Gu4NY4U7K1X+x+axLAifjGgh7c+b8dSRN8fO7g+24yag5nq11ggBrUYcrYhHXxU0eFjmZ+SvpqqxgyZi9+6iwtByp2UVo10DdQb2IVJ8Al4g8w8HUHLec51qBuhPOAsAbvx1BkodM3OkqAoCZf1tO6+BQ4cvGLnqZNU7e/GJZvMbJ7ckwkFOzcTDlhsnf3lLzZyu/BpjUOJntJ7HGyRW1Q66qcfLklno6vYD/++WQRQ16jkITjI/8YjtGfL4dCac5easnkPsC1JcwcCKneHMhyB+Z11xIcb1Q2UBHbg2FKyzffwn3zd+pdjIcJum+U/Bjtjk4hBMPAV9onuPoG3YlZBvdm19skjcIkJT+J8USJp529Vdos8bJzgAQVeuUTBGJ0Vv5kH9WqNa7crCMv5OuKnI8Kfaev47xi/d5dS25q5Tbe2Pmwxg4kVPc/YPEH0DnfCpxtEB/4g15SskXzRoNkJ5bLHMf6ynYdCrT2SR5DU/LK5XB/7WCUuQWa2Xvn2YnH5RJqJWyVmCW48DFbLy75hjySyyvweHBIUxqnKyn0dl7S+zInt6kztzZzAKM/WaPS0aJ/Wh9sv2NZNC58SYc880ebEnOwuRlh9x2TiWU6/SiI2mSMhg4kcMm/pyIZ34Qn3OJPNN3Oy6onQSHCp+eUEvlKFc0iSqRUMth7RMrKtNh8CeWE0zbYrvGyfa+tgr0nhaI2CM1ue6uSZMS4JzLshzW216BUKu3f9yVBy7b3caehxbuxo97UjBvg+WLHds1TtKOb+vrsNc3zBHOHFJqoCimrFwvqZbQ3HM/HsDu89cx9n97ZO/rbo7cWluSM3HRiZEOr+bIe9GktjHf7MEdszchMUX5ESMreduzW0kMnMhhcX40zLk/t+dVmqc9b13db2DpzcEalHRRQtORqwpOh+bMZ3Tsinvmq3OHbaezkFskv2bH1S7fsF+wE5sP6ZSdOYp2SBiYJTkj3+42Uonla6lDcFv0cfKyWp9KzvTH6vvfzWg3bR2KyuQ1yT6XpX5TNKkFcbk1nLvPXcf4xfsx8OOtouuz8kt9rr9r4s3+jF9tPqtySnwTAyciCRxpBuNLfDlwdPWbM/MmE6XlzveJkZLmwnLlCo5Fdt5iOzqZt6cF0VK8/pv48PFqWrH/kkuO6+6aXtEcK7VWyUZabdX6Ols7eMCFb/XN2QsGM2/2W3P0fvQGOpl9a+zNtXj7Bxtx3/ydNoMnb3xOAcCWZNcNpOHNrUCcxcCJvMaZjHzVblVPGAlOTdP/PK7IcVKvF2H4p/KaifmaXh9ucvoYUt4on81VLnCy18RzxOfbJR/Lk0cGk2Ldccua9uZv/IPmb/zjUCH8isxmQEPbW86b9ttB+83lHPnY3V1rI9ZsTmoabI2qJ9ZMsZK90URb1atuc/2aQ1cslrmi+Z83s9eXTg65t5jUPlF7zlvv3+ULg9gozZmxIXKLtJjwwwGsO+adUyQwcCKv4aq3qlKkZivY7skLKTUy0rQ/jyHfgZH9Hv92ryLnlyruqOse6DkONPUyL4dJaSabkK7c4z1PwRpX4zKIrxVI1osEVfacttPUTRAEnMnIh/5mSaWtg/PYXBXpLF6k4oiAYsTCDakxiHkTLuP99E6U8lrWrWZzvegEuA6fzTYl+nS5iq2k2auxriAt0UoMRkLOe2Thbof3/WLzGcSfyMDzPx1UMEXuw8CJvIaSbelJPrkj8ml1erz/9wlsTa4YdS3+RAa2Oth0wF1zTFX6fKO8oZ1tyS+pChSVesPm7hfaSr5B337Gd+dhWS1S+2CPveDxy81nMeTTbXjnj2OOJsvGuW2v94SKE6kDk9jq4+TM2/GL12y/NBMdVc+Jz01nY0AOqYf1tNBCSrqlxkNrj8l7OeGtn5mnO+FEc9AbCs3tpRYGTuQ1DvtYB061FDpQ4wMAn4vNE2Pj127Z3lR8t+MCnly8HzlFZZjggSMwtnwrDgfMJgZV2vXCqvlylHrD5u6XrgEKFqCN+wv6WmHFkYEw7O3zyc0XFsus1PpeK7A/H5Ojvth0xqFR2hwl2lTPwbxnvJ/cfjHG7L2wc+Re1Or0eGVlkmgzPyUGU1GjUsb2oBbiX+KctZYTdBuT+r2dTMvDXfO24p8jrmkp4GvPKTVl5pXg94PyXzB5EgZO5DWM39y7my81D1B6Xg1rjPtufL/zolvOKZe1H2YBAhJTstH8jX/cnCJxTy9VN+g8flW5zubGn3iBive0K1TmeTmPi0/iT+PARRkDDJgd/NWVSdL3lelcViFeXnnYZcc3J1a+driPk8k61z2/xY5tL8UrD1zGqsTLmLLiMICKAWNyFHwL72lNYLVWBhdamHAOZ2wEpg8u2CXp+P/3yyGczyrEpGWWL6bY38yzmE9h81ui89MZuBsDJ/Iq206r08xnrQv7vLjbEhcMj22PreYnnurBBY634VaalHl6vIVxme7e+TvUS4gHSXDiuZZ0OVfBlFiS0p+uwMFabCmUqHFypqmePdcLLQMee4V186ZKfeZsQZf34u3XHkodml3SVu5ja1jsQhs1mlJbmRTZyH+bTmZIOkZmnvXP3sPiUK92xOx59bILX/y4CgMn8irLVRogQqxjNUlXXOZdBX97/RrU9mfSVbWToIhL2Z41saROL2DB1nOGeVAccS6rAP/6xnIiUUebyNrjbO2CM83YKpnPVXbUwWBOdHAIiftaDo9ctafUkdXUcCYj3xAw7b9gu+ZR8mehwuXuPGt9zq91Mvsl2RLTJErW9tIGprA98p+n1eCJ2XchG1N/PYzrLmy6a265naHefRUDJyIJbDUn8Ebu7LcAAN/vtD2ctacp8+F5q8i63xIv47/rTkluIiRm0s8HRYcYt9ZcyVnOFumUKBSWmI3ON+Ybx2prRStUHJ0A16TGyc3zUcmoJRtiND1D5TxMzh5XjTl2bA2MYuvzr8x/UlMcGmhZbFXiar29Of4ji3bj94NX0H3WRred8501yg9Y4w0YOBFJcKNIi/M25gLxNvM2KNPP6cJ18ZqZc1kFir5lJKq07lg6es/e5FStkDVnze7x5HT5L0ysNbdyVbnM2ePuk9O/ygrzwEnqW35zYv2ZHB0VzXg/KcPp5xZr8f7fJxyuLbN2btH1VjZQar48Ndrq/XHYei24rRq/yjVSh4wXCwqVuLdsnd67QyrX8dfPhYETkUTuHhLblZIu54guX7Y31WTUM3v+EmkylleixaB5CX4/9xW5xvM/JeJqbgnGL96n+LHNy7PWmh9duFao6Hm/NOoDIrcGyNk35Y/+z/k50k7ZCTBzi7SY8edxHLHy3KkkOjiE5LmLzOdxqtpx7jrbL4q0Oj1mx53Edzsu4J6vFOh3ZyfRjk4s7O4JiYGKz9XZ5py2suilm78TUs+gxgsIsYGp/rftPJ5Zut+n+p/KpUQzX2/EwInID5VoxR/2b60+iqk3R3oS38/+m+R09gdzC29od+9KpSoWWB74eqfsfU6mSxuZcMIPibKO68qBGaTafsZ6/xYAmPXPCSzZdRH3fmX7c3NmVD1zxkPoX8kpxr+/22t1HjUNgJMO1C5a42iNk93jqjBA3MSfD6LnBxtdls9eXH4YgPoDMMh9nn4QdxIbT2b6TH9Tko6BE5EfOnolFw1qhomu23Qq0+p+bd9d56ok+SxXvSVef5xNIRUn8au6USS9VrbSxhPW76tKgiBgo8RRwKr2kZ0UtzudKa2Zs2hTPcn9emwfa/uZa1bnURMgvUmgElx9LrEssevcNfT8YCPiT8jLX2uPpeN6YRniT7j2eSO1X5arsrujxy0qU//FRV6J/OcROY6BE5FEvvaGP8tOR2TybFdyfKNmz9H7ynwvvV7AumNpNkfHksuRN/zXChybj+evpKvo8l68Q/t6gsiwIKvrJE+gLFrjJI2twSHs+dNG/xxH2Du3wzVOErcTu6Ue/d9eZOaXypqI3LiW6aUVSUhy4ST0Uh8DYs+LcgWmu3D0OZRqpZ+vO/1iZXJsb+FtTf4YOBH5qXIHH1Zbkk3fnOc68PadqNLMv04ocpyViZfw/E8H0e+/WxQ5ntLsvVH/v18Oyepf6GkCbERHTsRNbmme9vLKJEXPY6+W2dV9lZQaVe+iWV8+88lLlSQ5cBJZ5ujLCmOOlt2/3aH+iLFeFndYyBaZC82TMXAikoiDHVQYv3i/yd995242+dt8gjt/56qhgaWOQuXpHJ6Q2ezyt93sZ+PoCwHAskCrQpcSrxVgI/Kwtc7Y30cs+yDZm0xWKW5tqifxZFtOZZq0DJA+UIYDiRJhfj5XtlKQ3FTPRY89bx+OXC2l5e6d2sQTMHAikuhLG7Of+zPzEYde8cKZwF3J2kAczvog7qRLjusKu2xMjukoi7m2FCj3mBcUd5677vxBbzpxVdrgEJ6o+Rv/ICPPdtNQW83xpAZOzjHNAGqUgyube9m7XKnB/fgl+zHk0wTD31KDSKUuXaxmbGXiZYWObsra95Vy3bTWy5lrs/WyyZvjJjUGDal0Ks235riUgoETEZGLeVsbbqV9s/284f+1IoJdcg4lJi1ee9S0xkNuR3pb9l7IdnoSXDX7Wfb6cJPN9Tm2muwaFezkfgZK17JY+wzPZDg3T9+VnGLc/sFGfLbxtMnoo2Kj0c1Ze0rycXOKtLK/d6Xyidhn/9YaZZrWGsvMK7Fa4zPgo60mfzsz/HfC6Syr65RuGVDoAaNdusN983ci3c5LFV/DwImILPjaQBhqW3ngEj6NP612MlSzNbmqwDLm9qYOH8dWzZVxkFMuUjgvK9fbbVZy0aijtyuaJVUW+urWCHVo/95zNqPQwcllXc28FmWbUSHVuDZqzKLdso4rtT+Q1CfW1F/Fa8TznSzofrLhNK4VlOGzjWdMCvdKjLp2+wcbsXyf9AEAFKtxsvLRK/3z8PaaYyjXSTvoyTTHa25vFFX0pREEAa+sTMLnG88Y1il5TbP+PoEO09djh51h+pWidpPiJ75Xfk49T8bAiUiGUxLnYvF2GxR8007AnvPX8fmmM/Y39AOONispK9fj0W8dm6xVpxdw+wcb0f39jaJBlZgDF7MdOpcthU4WotNyS/DH4SsKpca1pv1xzPB/46Z6cicSl9q3VGrBd/Uh13x+xjUWJnlcgQL5tYIyvPH7UZPjLkw4ZysxFqSObPjqyiRD0GstaM11oC+/rfsu/kSGSweeqHQ1p2LEzUOXcrAq8TI+3Vj1MkvJPk6VA0bMWeee5tTbzlivSSPlMXAikmHGn8fVToJbnMtyrtkKmcrx4tHSPIVYUzxrzWHMi0B5xVrkFmtRUFqO6yqO4LRw63n7G9mhxAhi7mBce3dW4jxOYrylyZNxkGEcKCpZOWN8DjnN/QDp/aNWJl7GuO/3IbdYi3+OiA/TPv1gkOxWCQM/3qp6k+XK0xeL1NoGBXhvcXjnWeX6YqpBzT5ajrA+8QIRWdhzPtvkTaqvstlfgWQzbqrm7xx9sSv221pYWo5qoZY/Y+bnMCnISjy/K37MM/L9qy9ApUwnmj1KrSlRso+K3H5YxWU6tzVrk0LsswjQAHIaecbM3KBcggBcvlGsel+YYq31T2B4x2jFz+fqYedJHd4bYhOp5IfdKWonweXOZPjfSDnkWs72m5MTyJgXHDVGv3RSm+RkFyr/8qDyM2AXQulMg15lRkWzV/Mx5JMEm+vNfb7pjEkR2V1DqMshlqakSzn4wo1NiN3dd9b8fAu2nru53HLbkCDli8PuGOJcatNjT+Ztz0MGTkRkYYvMGhJnRjoi/zDrH+fa+4u+vZVYPjUufFsrzCSm3DD5O9kF/Rk5F5x8Gom1hXIKX8vsDLRg3MxQiuNXc00Ce+NR9ZSsCXNmhEGxXe+bvxOfODhojVbiYA7GHC0gOzr4wOFLOeLpEPlOXDFlwnE3TEHg6PdHjmPgREROO5CifEd68i3f3ewwLebYlVzkFMnvu2Ot8GbZVM/6OqBipK4HF+wyWeaKWoNjV/JuHlvxQ3ukRCvPhcGfJFit6TCfa8f4uzMPem2Vw8WGAa/07hplm1tvNxs9LdeoT6PU0eKk0Ep8QSUaOBl9jsnpzrco+CNJvP+TK9gaRtyWvBLp/ePWHHbP9QiCgOT0fMX6ey11dAJxD+KqSeJdhYETETntr6Q0+xsRWXH3lzvQZ85mm9uIDetsb59KxrVV8zYk47zZ4Cdib6b9JbhxJWtv3M9mFkh+U278PUgJlErLdSgr17t99EHjPNamfg3D/5V8qbR090VJ24l9Tsa1ro9/59jolMYcmc/JfLJ0NZRodVZrvtYeTcPkZQdFByRRqpnh11vPYdhn2/Dm70cUOZ6nTk/gyxg4kV8Y1amB2knwab/ImGOESExlAeDo5Vzsu2BZ2JQzmpytMs6aw1dx1zz7fVgCGDk5zZFP8PKNYpO/pTSzBIBHFu3GE9/vQ5t31uG2d9Zi0TbnRzCsJDYKmznj7GL8/0Myh1+3xdY98NOeqr63YrUZRUbX4Io5yqRwR58fe/44fMVqAP6fnw/i7yNponnnlAK1dAAMc0f9euCyIsfzBXova+nPwIn8Qr/WddROAhHBdrMMQRBwz1c78Mii3cg2Gzbc2n7mTbvsnaPSwdSqPk1iBXxXhk0eUH50i+SMfJP+PlJkFZiOvNYoKtzw/xKt7RKWo0267PnvOtOhvw8Z5R0xxoGTrSaDzsrKL0Vyej6u5hTjHaPmh78dtF8ot9V01lXc/S5C7HSLtp23W3t0vcAysFSqySXfx1i6klNsfyMPwsCJ/Eb3ZrWsrmvfINKNKSHyT19uOmPzbbfx3DTZhabbWSvrrBIpJJpvKxZIvb3adj+XAKnjYJNVP+1JRZf35A1rbT4nzS3VQw3/v6pSAWuJWT+Sf32zx2KbvBLxURi3uSiYA4DbP9iIYZ9tw5HLuSbLxWpszb3/t/ymds6Kd8PE6nvP257T6HxWod3XKmK1zUr1w2HgJMa73iQxcCK/YO9h5YqhSP3NhWuFaieBPNy8+NP4/aD1vifGTWTMCy/WAqe/RDqpl0roRG/vrfM3Cjb1MpZvpYDtq2zVEuWKTAxt3vfJuMDqCU29APH8FXc03fB/4/5O7piwOOlyjsnf7h72W6rPNrp+6PMx3+xBWm5FgO1okCL2W6bUR6rE3E6CIODrrWfd3o/PVTw0u1rF0iL5hbDgQLWT4POGf7ZNkeP0aXWLIsch73ZdYlM9sR/d+VvOyjqXO+ey6TRjA9863xQzc4Nof5zNp6pqJqqFBIn+35PdsDFCpCumbjDPTnJGk/NFlfez1QK5nYL6jrPXLJoKm//tKCUqsr/afBZz1yXjxeWHnT+YB/CyuImBE/mPzo1rWl03vk9z9yXER0l5yy9FUAAfSwTsNJtXxVohaMfZaxb9aDafyrR7fOPai6u5JTa2VF44X+QYtHwrzmLZU0sOGP4fatQaINhLWgbM/Mu0GZxeL2BV4mWcyyrAh3HOzWcmplyhoa19xS/7Ltkc7ltKszvzAY/GL9nvdLoA29MclJXr8c6ao1h/PN3qNkBFzb0v8bb3SN7xFCJRQS5qgx/TuCbaRtewWF4j1Dve9lnzytA2eGnwbaL9me7r0kiFFBGRNXJGtWv77jqTv6U0Gz2dUWB3G1fhRLiO0Sk4J5JcqTInxTX228HLeGVlEgbNS7DoL6UEVzUr9Wa7z123WrNbameQEQD4aH2y5HOJDV9uja2n2or9qfhpTyqe+zFR8vF8gbeF/QycCI2iwhFjVBvz+vC2WDelv8V23tC8pFW96qJBX4BGg2qhQXhxcGu8NOQ2k3WvD2/rruSRBOyTT2Lk9m8RGxnL3KSfD5o0CyPPIVZjoFOxM8S8eOkFaXOvrlJmzh6SztpgHUDFsONKOpUuPl+ZGFvlKLWGiXe1j3raDizZx4kcMqFvcyyb0AuA9YEKqpvV+CjVb6daaCB+efYOtK5XHb1a1EavW8X7mHjDKFOdG9fEuin9cXHOKJPlxrVzg9vVw11t6xn+rhUR7Lb0+bobCrQDD2RTPYLIIAEyf1xf/81+YfWfo2kmzcLIc1SOoGf8tdtqfuVqfxy2HISE1CGln5gr+pJZY2uurnSzZsC2mur56m+fvZfunjqYiTW++S15odeG3YbeLesg/qX+2P/2YBx4Z7DFNtPvaW/y97P9b1Xk3F892g0RIUGInzoAK56LReDNIGP7a3eabKfGhJCBTgRrxsOPGwd9Go0GMY2jDH971y3r2d5TYIjbQIlPpUSRe4R8l9z7dOPJTNFR28g79Ju7xWKZp4yqR+p6bVUSZsedNBS4e7e0fNl7JafYbTUZs/6x3m/t90Om0yXYKkYFBVat3H3uOnacMe3neaOwTFJNuqMiQgJFW+w4y14pztu66DFw8jCt69dAzfBg1DGauwIAxvRogrbRpn1zaoYrU1NyW33xG6VJ7QiTv9UInOQabdRX6ednehn+H2iW9rYNqq7Zm36MO9Xy7Cm2Vx9yfnhUqcHyLdVD8cH9HZ0+nyd5aySbjRozntzWkQJDt/fjMfiTBNXm/yFlHbhoe+JZqvLx+mS8//cJxUaD8yRrDl/Fom3nDbWAYoOtyOmj5Erm5SZbv27BRoHT2P/twePf7UVmfkWNlU4voOv78eg+a6MrkgkAWD+lv2g3DTmiIoLx5+Q+svbxgsZMJhg4eYk729ZFRKjpw0EQBCx7phfqVA9xSxoaRYUpdizzZofWTDXrj2RP/9vqGv5v3JQxNNg0qw9tX9/w/1GdGsg6hxLaWAlW7XmmrWcHTkqQE6A/1qsZxvRoYrKs2S0RVrb2fGNub4qVz8eqnQyPsfFkVf+jp5fKb1Kn0ws4m1mAD+NO2d+YPI55c6vddiY3dbXzWeoNKCLXV1vO4rsdF/Dm7xVNVgcY/Tb6iikrDkMQrI+Rp/Qr0Us3B3WR02TU/NdMblO9S9kVL33c0fSw8mX5X5P7Wt3m33c0s3mMw9OGokkteb/BMU2iZG2vNgZOXqRl3eqYfGcrk2W9W9XBjtfvknyMxeNvd7hg9mz/lopl8C2vDMSF2SPtbjdSRlDz5gjLt/XPDbgVd7api94t65gs12g0uDB7JM58MAJREa4JPP/+v77Y9/YgLB5/u8nyBjXDsGxCL/zfXa2s7OnfwoMDUT8y1P6GN815sBNGd2kIAOjWNAr/vNAPzb00eKoZHowODS1HffRXzyo0upT5cOXkHW57Zy0y8qr6iAwy6puqhrvmJWDmX8dVTYNcm05mQq8XUFrum/fAX0fSrPaR+VPhfmmFZeW4fKNIdAh9a06mmQ4cYa125bONp/H5RsthxlclXgKgzOBcrepVt7ru/IdV5bFOjWvanL7FnlrVqspUEwfcarepnrfNs8nAyUt0aVLRX+eVYW0MyyJu1tqESO0UAuDONvVQt7r0QqmxkZ2iMe3udg7t+9bItlj2TC8se6YXDr47BHVrhNp881KpWoj1G6pGWFWt1c/P9MJzA1pabPPmiHZYPL6naPMvjUaDYKPPbs2kPnioe2O7aZKqY6OaqFcjDHe2Mf2xj586ALdUD8WkO60HTv++oxkWPt5N9jmb1A6XvY+nMc7jUmg0Gnz2r664OGcUfvtPb1QPDcI9MQ1dlDrXCwvyrh8Rb7DrnLo1FY6KcaLw4iuM50RamHBOxZRUWLzzotpJkKVcL+DWt+Kw53y22klxiRd+OQRro9T/dvCy+AoHDf9sO/r+17LvHQCTAN/YGrPgTawsUqLV4bONZ0QnLv5lX0XgpESXgokDLctIlaQO/iVlDixj9SNDfa4fOQMnL/DzM70QXbOqmdz0e9pjSPv6hv48AQEafP2Y9EJ2s1sicGvdagBgMrqcPRqNBt2b1cbANuJV/oPb1bfa5+TZ/i3Ru1Ud9G5VB7WN3ka8e3d70e0r1YsMwzujxIO1NZP64Lb61TH/0W7o06qO6DZydGkShY8e6uz0ccSc+WAETr43HBfnjDI0UwwLDsQ0s+tfPbE3Tr43HO+P7ojhHeU3Idz+2l14Q6TmrYuXVIXPvLcD6keGoZaDtYCVwXivFuIjQ3qyjVMHAPCO0SvdKTHFf/u1ePMLAFc4lZ6vdhLIA207naV2EtDrw02Stgt18MWYEgMojOrseLeEsJvdHfo6UNayNW91t6ZRDqZIPR4ROM2fPx/NmzdHWFgYevXqhX379tncfuXKlWjbti3CwsLQqVMnxMVJrzb1JNGRtvsMrXw+Fl8/ZhkUjO/TAv8b18Nk2HIp/To+HRMDoKJwufnlgUh8ZzC+HdfD5j5xL/QDALxqVAvw6SNdRLf99okeeKyX7fav5p7u2wIfPxxjc5tn+t2KPq1MC8LzHo5By7rVseGlAU49DMxpNBrDsPDOGN4h2uTv4MAAhIvUnj3Zu7nJ342iwkW3k2LnGxVNNp8XqXn774OuCQidZZ5vH+vVFEDFSI/O6Nu6Dn58uieWPtXTqeNIMaJjtP2N7Lg4Z5TNZhT+7MEFu/Dj7otqJ8Nhzw1wfPRTZ94yu2qCdCISl3QpR3S58SA3oSJRhJRmeEoM2S2n//AHozuZ/L3/7cHY8spADGwjr7ls5W980rviXUq8YdAxc6oHTitWrMDUqVMxffp0HDx4EDExMRg2bBgyMzNFt9+1axfGjh2Lp59+GocOHcLo0aMxevRoHDt2zM0pd97GlwfgnZFtMLOb+ORgtzevLbmPT4eGNfHioNaYa6WAfHrWCNzf1bQZ2i3VQ+2+3W7fMBIX54wyaVZWq1qIzcEd5sqstXmoe2MceneIzW3eu8+0JutBBZvUmevd0rRWbIHE2ryXjQaykBqoBARo8INR4T7UrK1vZTAEAM1udtycfX8H0WM1irLeTK9WNdsjMC58vLvdtCrt1+dikfDqnSa1bkE3m062qlcd798nfp0AcMette0ev1/ruhYdoh/o2sjK1hVWT+xt97jm5jsZ5IkFuq7yr9ub2N/IA737h3f1KzE2cYDjfRm7N7Ofz63Z97bpcP0RRi9kFj95u/nmXuN/286rnQQiUdZG7ywx6l8mNk+nlJhIiRqnoACNych9tnRqXBNnPxiBd+9uj9UTe6NGWDBa1KmGsOBAbHjJ/sh7q56PxazRHdH75m91RIh4mfFuBV98u4vqgdMnn3yCCRMmYPz48Wjfvj0WLlyIiIgIfP/996Lbf/755xg+fDheffVVtGvXDu+//z66deuGr776ys0pd1710CA8EdsMUY51ObLw0pDb8IhRwej14W1xcc4oXJwzyuqkuo5aM8n6cJOP9GiCujXkXVStaiE2m+21rFsdD3SzXehVkvFIhU0lDjTQyag/Qk0Zk+r2v60uvhjbFZ+N6WIxxHyjqHB89FBn9GhWCysmVBR2HuzaEKuej8XuN6uCKvOBMda+2M/k73o1wnDq/eFW0zBcgVoTuXq2qHig1rdS89qugfggCTvfuAs/PS29VtC4trRRLdt9wLo2rWWzU+yWVwYagqvhHaJxdMZQp5vWvSbSp0vuywepPri/k/2NzGx9ZaDyCfFBYjU84cGBqBkRjFU2BuS5OGcU1lsZArh7s1pY9kwvbH/tTtGROM3n2jNWu1qIyXdnnK973VobJ98bjsVP3u5QjamcJt5K+yDuJJq/8Q+av/EPur0fr1o6iMz95+eDost3na3qYxkso096pbOZBYrUOGk0GhydMQzHZw5Dv9b2m9wFBQbg6b4t0LVpLZPlt9WvYXdwqx7Na+PxO5qZ9GVf/OTtFoHbv2ObS78ADyFtTGgXKSsrQ2JiIt58803DsoCAAAwePBi7d+8W3Wf37t2YOnWqybJhw4ZhzZo1otuXlpaitLRq/o+8vIoRTrRaLbRa9SdHrEyDkmn5a1IsjlzOxcPdG7nsGpvVCkXXJjVx6FIuAKB70yiTc/3xnzvQe26C4W8p6RjXqzHGdG+IjjOr5ikw3u+/93fAQ10bokWdCJd/d490b4RZcRXzQNxWNwJf/isG/7c8yWK7g2/fha+2nEOXJjXRu0UUJg28Fe2ia8hO34j2FTUjYvuNjonG6Jhow7ry8nLENKooRB2fPhjBgRpoNBqTfVvVCcfdnaLx99F0w3FtNQDUarWY0Lc5/rfjosW6hjXDcDVXvOOrMyrTO7jNLXimb3N0bVLT5BpiGtXAl/+KQbPaEbj366rnQb1qQRD0Omj10kaJerZvM3wSfxo6vYC7bquDh7s1RP+Pt1lN02/P9cLkXw5j/QnLWu/GNUPQuGYIzrw/1GSfjS/1xcOL9uJGkbzv/Z7O0dDpyqEzu5T7Y6JxT8d6mPLrEYt0bHulPwRBwIB522Wdq3vTKOh15Tg2fbDJPfZI90b4NdH6/FsNagTjzPtD8eOeVLz3T8Ww3m3rV0fqjWJse6U/9IKAyzeKUad6KO6Zvwu5xaY16G+PbIMP4jxjThVXOTZ9MM5kFOD+hXtMln/6SCdotVrENKqBvW8MRK85W03W14oIhlarxa23hOGH8d0RFR6Cg5dy8Pmms5h1X3totVrc3qwi4Pnfv7ti6e4UfLczBQDwnwEtEF0jGLWrBSO7sCLfPditIfq3qoPI8IrjNqoZgt+f74Xl+y/jpcGtcDA1BwEaDYI1AgABfVvWQtfGNdD31ihcPnMcC05Kayb8ZGwTLHw0BhN+OoSE09fs7+DBfn22Jx75xnb3AFdoVjsCKTeHt/ZljWuF4/IN/5lHbfC8rRbLnvnhAG672RT7dGbVkPat346TNALs4E8S0PJmv3RHLXq8q6EcEBgAfD+uGxJOZ+E/yw7jg/s6yC6zTBrQAqfS8hB/0vT3yfw4xmXcvi1r4fj0wbhwrQjf7LiAaaPaQq8rh8SfcpeSc/0aQYkw1kFXr15Fo0aNsGvXLsTGVr2Re+2115CQkIC9e/da7BMSEoKlS5di7NixhmVff/01Zs6ciYyMDIvtZ8yYgZkzZ1osX7ZsGSIivHPIYk8hCMCnxwIRpAEmtdfB/EVKZjGw4UoAhjTSo77Mwd4KtUBwAOBgdx+n6QUgIU2D1jUFNL75vCopB17fb/qu4fNY8WaWnuJCPlA3DKh+syJrT6YGv5yz/FCNryOjGFhyOhBXiyreDH12R8W6KXss37M8306HhRILW8aGNtJjVFPp81IIAvBdcgDaRgnoGy3/kVVSDuSUAdE3b/mk6xp8f9r253AgS4OrRRpsS9NAK2gwr1e5zU6ulemckxSI9GLTt2q319Fj/7WKnd/uUo45SYHQCRq8370ckXbGwdidoUFwAJBWpEGXW/RoYtQVKq8MmJYYiCbVgOFN9GgXVTHm0aUC4GyeBn+lBqJjLT1KdcDE9nrDULiCABy9oUHDCAF1blb4fXI0ECkFFRuEBAgY1VSP6kFAj7pVn/eZXA3SioD+Dax/B3OTAnHlZt4Z1FCPe5vpcbUQ+O8R0/zTu54euzJVb/TgtNaRekzuoIcgAGtSApBRDIQFAs1rCBgQLZj0X9iapsHqi1X5bnq3ctSW2eJgwYkAnMoNwGd3lEOjqXhWJedqUD1IQKNqzk0muT1dg/grAZjUXoeawVXPuzG36rA3MwAXb+YP4/vkTK4GX52ouqbn2uoQFijg8+Pi72XH36bDYpF7DwDua6bD7XUFvHPAPe90P+pZjpDAivshp6ziOVlcDrybWHH+yGAB7/fQ4a39gSgsV64vxv3NdRjYQMDxGxqczdUgMkTAmhTTz6ROmIBrJa7p//FEax2Wnqk6nwYCmlQDUgutn29Gt3JoAEw/KP7dVAsSEFtfwMYrVfd05ed7KkeDs3kVeavSI7fqoNXD5H4AgH719XjoVj1O3tBg4Sl5vy1Nqwk2r8EfhAQIeKerDtWCKu7NxOsaDG2kRz0rZTC94NwzQy8A+7I0+Cs1AE/dpkNLL51No6ioCI8++ihyc3MRGWn7Inw+cBKrcWrSpAmuXbtm98NxB61Wi/j4eAwZMgTBwdKbd5H/UTqv6PQC8kvKESWjWSEAaHUVhcTKmq5KJVodjlzJxXM/HcYt1UKw4tmeCAsKQERIoKSh59VUrtMb+lcpJS23BA1qKjdptBye/lwRBMEkTwiCYGjnn5ZXgprhwQgPDkSxVofrBWUo0eqQW6JFnWqhaFwr3KTp8d4L2QgODMD+izeQlluC6Xe3RUGpDgWl5TiXVYjjV/MQFKjBkcu5eGlwKwRoNKgeGoTcYi0a1AzD5RvFEAC0qlvNkKazmQUICw7E5RvFaBtdA9VCAxEcGAC9XoBWLyBAA+w5n41rBWW4v6v8ke/KdXroBfH+Dmowzi9BQUGK3a/lOr2h8/fV3BI0ttNU1nzfcr2AjPxSZBeUoWvTKFzJKUZiSg4STl9DgKZilL380nL8/PTtaBQVbvhcc4u1uJpbgovXi3Bv52hFnz96vYAynd5i7hlBEFBWrkdwYAC0Oj00Go3h+72SU4z6NUJRVKaDXoDdZ675/ZGVX4rkjAIkXc5FYsoN/O/f3ZBTrMWGExnYe+EGLl4vxH/v74hGtcIRHKAx9JXNK9aisEyHQ6k5uFZYhuzCMrx4V0ubn0eJVodirQ4RIUEICdQgI78Ut1QLMTQxq8wrfQfehTK9BkEBAbJ/Q4rKyi36vJhfs3F6QoMCUK4XDGmo3LZifio91h5PR93qoejb6hZoNBoIgoCC0nKcSq/4zB7p3giRN5vBXysoxfL9l/H55nP47bleeHDRXvz6bE90bRKFmX+fxGM9m+ByTjE2ncrC8v2XMeu+9hjTozFKtDpsSc7CCyuOGNK27Onb0bFhJKb/fRKrD13F5490RvWwIAQFaFCvRigOXcrFrLhTeO/e9qhXI+Rm2gGdIOBkWj5iGteE/uazL7dYiz+S0tCkVjgGta2H64VlmPLrEQy8rQ6eiG1meAGTkVeCn/ddQudGNTFtVFtcvF6EPReyUVBajgl9W8j6HtzB03+LKuXl5aFOnTqeHziVlZUhIiICq1atwujRow3Ln3jiCeTk5OCPP/6w2Kdp06aYOnUqpkyZYlg2ffp0rFmzBklJlk2pzOXl5aFmzZqSPhx30Gq1iIuLw8iRIz06U5H6mFdIKuYVkoP5haRiXiE5vCW/yIkNVH3dFRISgu7du2PTpqrx7/V6PTZt2mRSA2UsNjbWZHsAiI+Pt7o9ERERERGRs1QdHAIApk6diieeeAI9evRAz5498dlnn6GwsBDjx48HAIwbNw6NGjXC7NmzAQAvvvgiBgwYgHnz5mHUqFFYvnw5Dhw4gG+++UbNyyAiIiIiIh+meuA0ZswYZGVlYdq0aUhPT0eXLl2wbt061K9fHwCQmpqKgICqirHevXtj2bJleOedd/DWW2+hdevWWLNmDTp27GjtFERERERERE5RPXACgMmTJ2Py5Mmi67Zu3Wqx7OGHH8bDDz/s4lQRERERERFV8IwhfYiIiIiIiDwYAyciIiIiIiI7GDgRERERERHZwcCJiIiIiIjIDgZOREREREREdjBwIiIiIiIisoOBExERERERkR0MnIiIiIiIiOxg4ERERERERGQHAyciIiIiIiI7gtROgLsJggAAyMvLUzklFbRaLYqKipCXl4fg4GC1k0MejHmFpGJeITmYX0gq5hWSw1vyS2VMUBkj2OJ3gVN+fj4AoEmTJiqnhIiIiIiIPEF+fj5q1qxpcxuNICW88iF6vR5Xr15FjRo1oNFo1E4O8vLy0KRJE1y6dAmRkZFqJ4c8GPMKScW8QnIwv5BUzCskh7fkF0EQkJ+fj4YNGyIgwHYvJr+rcQoICEDjxo3VToaFyMhIj85U5DmYV0gq5hWSg/mFpGJeITm8Ib/Yq2mqxMEhiIiIiIiI7GDgREREREREZAcDJ5WFhoZi+vTpCA0NVTsp5OGYV0gq5hWSg/mFpGJeITl8Mb/43eAQREREREREcrHGiYiIiIiIyA4GTkRERERERHYwcCIiIiIiIrKDgRMREREREZEdDJxUNH/+fDRv3hxhYWHo1asX9u3bp3aSSGHbtm3DPffcg4YNG0Kj0WDNmjUm6wVBwLRp09CgQQOEh4dj8ODBOHPmjMk22dnZeOyxxxAZGYmoqCg8/fTTKCgoMNnmyJEj6NevH8LCwtCkSRPMnTvXIi0rV65E27ZtERYWhk6dOiEuLk7x6yXHzZ49G7fffjtq1KiBevXqYfTo0UhOTjbZpqSkBJMmTcItt9yC6tWr48EHH0RGRobJNqmpqRg1ahQiIiJQr149vPrqqygvLzfZZuvWrejWrRtCQ0PRqlUrLFmyxCI9fD55rgULFqBz586GSSVjY2Oxdu1aw3rmE7Jmzpw50Gg0mDJlimEZ8wtVmjFjBjQajcm/tm3bGtYzrwAQSBXLly8XQkJChO+//144fvy4MGHCBCEqKkrIyMhQO2mkoLi4OOHtt98Wfv/9dwGAsHr1apP1c+bMEWrWrCmsWbNGSEpKEu69916hRYsWQnFxsWGb4cOHCzExMcKePXuE7du3C61atRLGjh1rWJ+bmyvUr19feOyxx4Rjx44Jv/zyixAeHi4sWrTIsM3OnTuFwMBAYe7cucKJEyeEd955RwgODhaOHj3q8s+ApBk2bJiwePFi4dixY8Lhw4eFkSNHCk2bNhUKCgoM2zz//PNCkyZNhE2bNgkHDhwQ7rjjDqF3796G9eXl5ULHjh2FwYMHC4cOHRLi4uKEOnXqCG+++aZhm/PnzwsRERHC1KlThRMnTghffvmlEBgYKKxbt86wDZ9Pnu3PP/8U/vnnH+H06dNCcnKy8NZbbwnBwcHCsWPHBEFgPiFx+/btE5o3by507txZePHFFw3LmV+o0vTp04UOHToIaWlphn9ZWVmG9cwrgsDASSU9e/YUJk2aZPhbp9MJDRs2FGbPnq1iqsiVzAMnvV4vREdHCx999JFhWU5OjhAaGir88ssvgiAIwokTJwQAwv79+w3brF27VtBoNMKVK1cEQRCEr7/+WqhVq5ZQWlpq2Ob1118X2rRpY/j7kUceEUaNGmWSnl69egnPPfecotdIysnMzBQACAkJCYIgVOSN4OBgYeXKlYZtTp48KQAQdu/eLQhCRaAeEBAgpKenG7ZZsGCBEBkZacgfr732mtChQweTc40ZM0YYNmyY4W8+n7xPrVq1hG+//Zb5hETl5+cLrVu3FuLj44UBAwYYAifmFzI2ffp0ISYmRnQd80oFNtVTQVlZGRITEzF48GDDsoCAAAwePBi7d+9WMWXkThcuXEB6erpJPqhZsyZ69eplyAe7d+9GVFQUevToYdhm8ODBCAgIwN69ew3b9O/fHyEhIYZthg0bhuTkZNy4ccOwjfF5KrdhfvNcubm5AIDatWsDABITE6HVak2+x7Zt26Jp06Ym+aVTp06oX7++YZthw4YhLy8Px48fN2xjKy/w+eRddDodli9fjsLCQsTGxjKfkKhJkyZh1KhRFt8p8wuZO3PmDBo2bIhbb70Vjz32GFJTUwEwrxjSonYC/NG1a9eg0+lMMhYA1K9fH+np6Sqlityt8ru2lQ/S09NRr149k/VBQUGoXbu2yTZixzA+h7VtmN88k16vx5QpU9CnTx907NgRQMV3GBISgqioKJNtzfOLo3khLy8PxcXFfD55iaNHj6J69eoIDQ3F888/j9WrV6N9+/bMJ2Rh+fLlOHjwIGbPnm2xjvmFjPXq1QtLlizBunXrsGDBAly4cAH9+vVDfn4+88pNQWongIiITE2aNAnHjh3Djh071E4Keag2bdrg8OHDyM3NxapVq/DEE08gISFB7WSRh7l06RJefPFFxMfHIywsTO3kkIcbMWKE4f+dO3dGr1690KxZM/z6668IDw9XMWWegzVOKqhTpw4CAwMtRiLJyMhAdHS0Sqkid6v8rm3lg+joaGRmZpqsLy8vR3Z2tsk2YscwPoe1bZjfPM/kyZPx999/Y8uWLWjcuLFheXR0NMrKypCTk2OyvXl+cTQvREZGIjw8nM8nLxESEoJWrVqhe/fumD17NmJiYvD5558zn5CJxMREZGZmolu3bggKCkJQUBASEhLwxRdfICgoCPXr12d+IauioqJw22234ezZs3y23MTASQUhISHo3r07Nm3aZFim1+uxadMmxMbGqpgycqcWLVogOjraJB/k5eVh7969hnwQGxuLnJwcJCYmGrbZvHkz9Ho9evXqZdhm27Zt0Gq1hm3i4+PRpk0b1KpVy7CN8Xkqt2F+8xyCIGDy5MlYvXo1Nm/ejBYtWpis7969O4KDg02+x+TkZKSmpprkl6NHj5oE2/Hx8YiMjET79u0N29jKC3w+eSe9Xo/S0lLmEzIxaNAgHD16FIcPHzb869GjBx577DHD/5lfyJqCggKcO3cODRo04LOlktqjU/ir5cuXC6GhocKSJUuEEydOCM8++6wQFRVlMhIJeb/8/Hzh0KFDwqFDhwQAwieffCIcOnRISElJEQShYjjyqKgo4Y8//hCOHDki3HfffaLDkXft2lXYu3evsGPHDqF169Ymw5Hn5OQI9evXF/79738Lx44dE5YvXy5ERERYDEceFBQkfPzxx8LJkyeF6dOnczhyD/Of//xHqFmzprB161aToWCLiooM2zz//PNC06ZNhc2bNwsHDhwQYmNjhdjYWMP6yqFghw4dKhw+fFhYt26dULduXdGhYF999VXh5MmTwvz580WHguXzyXO98cYbQkJCgnDhwgXhyJEjwhtvvCFoNBphw4YNgiAwn5BtxqPqCQLzC1V5+eWXha1btwoXLlwQdu7cKQwePFioU6eOkJmZKQgC84ogcDhyVX355ZdC06ZNhZCQEKFnz57Cnj171E4SKWzLli0CAIt/TzzxhCAIFUOSv/vuu0L9+vWF0NBQYdCgQUJycrLJMa5fvy6MHTtWqF69uhAZGSmMHz9eyM/PN9kmKSlJ6Nu3rxAaGio0atRImDNnjkVafv31V+G2224TQkJChA4dOgj//POPy66b5BPLJwCExYsXG7YpLi4WJk6cKNSqVUuIiIgQ7r//fiEtLc3kOBcvXhRGjBghhIeHC3Xq1BFefvllQavVmmyzZcsWoUuXLkJISIhw6623mpyjEp9Pnuupp54SmjVrJoSEhAh169YVBg0aZAiaBIH5hGwzD5yYX6jSmDFjhAYNGgghISFCo0aNhDFjxghnz541rGdeEQSNIAiCOnVdRERERERE3oF9nIiIiIiIiOxg4ERERERERGQHAyciIiIiIiI7GDgRERERERHZwcCJiIiIiIjIDgZOREREREREdjBwIiIiIiIisoOBExERERERkR0MnIiIiIiIiOxg4ERERF7hySefhEajwfPPP2+xbtKkSdBoNHjyySfdnzAiIvILDJyIiMhrNGnSBMuXL0dxcbFhWUlJCZYtW4amTZuqmDIiIvJ1DJyIiMhrdOvWDU2aNMHvv/9uWPb777+jadOm6Nq1q2FZaWkpXnjhBdSrVw9hYWHo27cv9u/fDwDQ6/Vo3LgxFixYYHLsQ4cOISAgACkpKQCAnJwcPPPMM6hbty4iIyNx1113ISkpybB9UlIS7rzzTtSoUQORkZHo3r07Dhw44MrLJyIiFTFwIiIir/LUU09h8eLFhr+///57jB8/3mSb1157Db/99huWLl2KgwcPolWrVhg2bBiys7MREBCAsWPHYtmyZSb7/Pzzz+jTpw+aNWsGAHj44YeRmZmJtWvXIjExEd26dcOgQYOQnZ0NAHjsscfQuHFj7N+/H4mJiXjjjTcQHBzs4qsnIiK1MHAiIiKv8vjjj2PHjh1ISUlBSkoKdu7ciccff9ywvrCwEAsWLMBHH32EESNGoH379vjf//6H8PBwfPfddwAqgp6dO3ciNTUVQEUt1PLly/HYY48BAHbs2IF9+/Zh5cqV6NGjB1q3bo2PP/4YUVFRWLVqFQAgNTUVgwcPRtu2bdG6dWs8/PDDiImJcfOnQURE7sLAiYiIvErdunUxatQoLFmyBIsXL8aoUaNQp04dw/pz585Bq9WiT58+hmXBwcHo2bMnTp48CQDo0qUL2rVrZ6h1SkhIQGZmJh5++GEAFc3wCgoKcMstt6B69eqGfxcuXMC5c+cAAFOnTsUzzzyDwYMHY86cOYblRETkmxg4ERGR13nqqaewZMkSLF26FE899ZRDx3jssccMgdOyZcswfPhw3HLLLQCAgoICNGjQAIcPHzb5l5ycjFdffRUAMGPGDBw/fhyjRo3C5s2b0b59e6xevVqZCyQiIo/DwImIiLzO8OHDUVZWBq1Wi2HDhpmsa9myJUJCQrBz507DMq1Wi/3796N9+/aGZY8++iiOHTuGxMRErFq1ytBMD6gYhCI9PR1BQUFo1aqVyT/j2q3bbrsNL730EjZs2IAHHnjApO8VERH5liC1E0BERCRXYGCgodldYGCgybpq1arhP//5D1599VXUrl0bTZs2xdy5c1FUVISnn37asF3z5s3Ru3dvPP3009DpdLj33nsN6wYPHozY2FiMHj0ac+fOxW233YarV6/in3/+wf33348OHTrg1VdfxUMPPYQWLVrg8uXL2L9/Px588EH3fABEROR2DJyIiMgrRUZGWl03Z84c6PV6/Pvf/0Z+fj569OiB9evXo1atWibbPfbYY5g4cSLGjRuH8PBww3KNRoO4uDi8/fbbGD9+PLKyshAdHY3+/fujfv36CAwMxPXr1zFu3DhkZGSgTp06eOCBBzBz5kyXXS8REalLIwiCoHYiiIiIiIiIPBn7OBEREREREdnBwImIiIiIiMgOBk5ERERERER2MHAiIiIiIiKyg4ETERERERGRHQyciIiIiIiI7GDgREREREREZAcDJyIiIiIiIjsYOBEREREREdnBwImIiIiIiMgOBk5ERERERER2/D8xKbxrU4XLZwAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 1000x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "num_epochs = 5\n",
    "# an epoch is a training session of both toad and frog\n",
    "for epoch in range(num_epochs):\n",
    "    losses = toad_self_play.train(opponent=frog_self_play, num_episodes=2000, save_model=True, start_epsilon=0.5 / (epoch + 1), end_epsilon=0, verbose=False)\n",
    "    print(f\"{toad_self_play.agent_name} losses for epoch {epoch}\")\n",
    "    plot_losses(losses)\n",
    "\n",
    "    losses2 = frog_self_play.train(opponent=toad_self_play, num_episodes=2000, start_epsilon=0.5 / (epoch + 1), end_epsilon=0, verbose=False)\n",
    "    print(f\"{frog_self_play.agent_name} losses for epoch {epoch}\")\n",
    "    plot_losses(losses2)\n",
    "    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Toads won 141 games (14.1%)\n",
      "Frogs won 859 games (85.9%)\n"
     ]
    },
    {
     "data": {
      "image/png": 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DBw/UDutdvXpVWq4N7u7uuH79utoXXWnHMTQ0xHvvvYeIiAicPHkSSqUSNWvWlJbnT1LOnwiqadjRVM2aNfHFF1/g+PHjOHHiBP7991+sWbOmyMd4eXnh9u3bWq2jKJcuXcKsWbMQEhKCunXrYuDAgRrvgQLUX5upqamIi4sr8krcO3bsQOXKlbFz50707dsXAQEB8Pf3R0ZGhlpfOzs7tG/fHps3b8bdu3cRERGh0V4dTbm7uyMuLk7tcOPLZ9fpWmk/U3JycnD//n1pbyiVHQw7VKYcOXIEX375JTw8PBAYGFhov6SkJLW2OnXqAAAyMzMBAJaWlgBQYPh4FT/88INK4NixYwfi4uLQtm1bqa1KlSr4888/kZWVJbXt3btX7RT1ktTWrl075Obm4n//+59K+5IlS6BQKFTGL4127dohPj4eP/74o9SWk5ODFStWwMrKqsCrHWuqadOmePjwIdavX4/GjRurHCpr0qQJYmNjsXv3btjb22vtiyIlJQU5OTkqbTVr1oSBgYH0GimMr68vHj9+rNF8m9LKzs5GcHAwXF1dsWzZMoSFhSEhIQFjxozReB3r1q1Ddna2dH/16tXIyckp8rWRv8flxT1PUVFRiIyMLLB/3759ceXKFUyYMAGGhobo1auXxvUVJyAgANnZ2fjmm2+ktry8PKxcuVJrYxRHG58pV65cQUZGRqFnVpL+8NRz0pt9+/bh6tWryMnJQUJCAo4cOYLw8HC4u7tjz549RV5EcNasWTh+/Djat28Pd3d3JCYmYtWqVahYsaK0Z6BKlSqwtbXFmjVrYG1tDUtLSzRu3LjA4/WasLOzQ9OmTRESEoKEhAQsXboUVatWVZlUOXDgQOzYsQNt2rRBjx49cPPmTWzatEllwnBJa+vYsSNatGiBzz//HHfu3EHt2rVx8OBB7N69G6NHj1Zb96saPHgw1q5di+DgYERHR6NSpUrYsWMHIiIisHTp0iLnUBUn//8kMjJS7Xeh3nvvPSgUCvz555/o2LGj1vbIHTlyBKGhofj444/x7rvvIicnBxs3boShoSG6detW5GPbt28PIyMjHDp0CIMHD9ZKPYX56quvcOHCBRw+fBjW1taoVasWpk2bhi+++ALdu3dHu3btil1HVlYWWrVqhR49eiA2NharVq1C06ZN0alTp0If06FDB+zcuRMfffQR2rdvj9u3b2PNmjXw8fEp8KJ47du3h729PbZv3462bdvC0dGxVNv9oi5duqBRo0YYN24cbty4AS8vL+zZs0cKIK9jDow2PlPCw8NhYWGBDz/8UOf1Ugnp6zQwenvlnw6afzMxMRHOzs7iww8/FMuWLVM5xTnfy6eeHz58WHTu3Fm4uroKExMT4erqKnr37i2uXbum8rjdu3cLHx8fYWRkpHLKaLNmzUT16tULrK+wU523bt0qpkyZIhwdHYW5ublo3769uHv3rtrjFy1aJCpUqCBMTU2Fn5+fOHv2bIGX6i+stpdPPRdCiKdPn4oxY8YIV1dXYWxsLDw9PcXXX3+tdhl8AGL48OFqNRV2SvzLEhISREhIiHBwcBAmJiaiZs2aBZ5mW5JTz4UQIi0tTdrOgwcPqi2vVauWACDmz5+vtqyw/4+XTyl/+dTnW7duif79+4sqVaoIMzMzYWdnJ1q0aCEOHTqkUc2dOnUSrVq1Umkr7LIJ+a/Pl09bDgoKEpaWlipteOHU8+joaGFkZCRGjBih0icnJ0c0bNhQuLq6isePHxdaY349f/zxhxg8eLAoV66csLKyEoGBgeLRo0cqfV9+HvPy8sScOXOEu7u7MDU1FXXr1hV79+4t8PWXb9iwYQKA2LJli9qywk49f3n7hVB/PwshxMOHD8Unn3wirK2thY2NjQgODhYRERECgNi2bVuhz8GLY2t66nlBr93SfqYI8fxnVPr06VNkraQfCiH0NGuRiKgMO3HiBJo3b46rV6+qne1UVoSFhSEkJARnzpzRyQ9fvmzMmDH47rvvEB8fr3bmlC788ssv+Oijj3Dy5EnpDL6y6sKFC6hXrx7OnTsnHf6isoNzdoiICvD++++jdevWWLBggb5LKRMyMjKwadMmdOvWTSdB5+Xfp8rNzcWKFSugVCpRr149rY+nbfPmzUP37t0ZdMooztkhIirEyxdsfBslJibi0KFD2LFjBx49eoRRo0bpZJwRI0YgPT0dvr6+yMzMxM6dO3Hq1CnMmTNHJ5eJ0LZt27bpuwQqAsMOEREV6sqVKwgMDISjoyOWL1+usz0XLVu2xKJFi7B3715kZGSgatWqWLFiBUJDQ3UyHr1dOGeHiIiIZI1zdoiIiEjWGHaIiIhI1jhnB8+v1PngwQNYW1vzB9yIiIjeEEIIPH36FK6urmo/Yvwihh0ADx48UPu1YiIiInoz3L9/HxUrVix0OcMOIF0G//79+1AqlXquhoiIiDSRkpICNze3Yn/OhmEH//e7K0qlkmGHiIjoDVPcFBROUCYiIiJZY9ghIiIiWWPYISIiIllj2CEiIiJZY9ghIiIiWWPYISIiIllj2CEiIiJZY9ghIiIiWWPYISIiIllj2CEiIiJZY9ghIiIiWWPYISIiIllj2CEiIiJZY9ghIiIiWWPYISIiIlkz0ncBRESyoFDouwKisksIvQ7PPTtEREQkaww7REREJGsMO0RERCRrDDtEREQkaww7REREJGsMO0RERCRrDDtEREQkaww7REREJGsMO0RERCRrDDtEREQkaww7REREJGsMO0RERCRrDDtEREQkaww7REREJGsMO0RERCRrDDtEREQkaww7REREJGsMO0RERCRrDDtEREQka3oNO7m5uZg6dSo8PDxgbm6OKlWq4Msvv4QQQuojhMC0adPg4uICc3Nz+Pv74/r16yrrSUpKQmBgIJRKJWxtbTFgwACkpqa+7s0hIiKiMkivYWf+/PlYvXo1/ve//yEmJgbz58/HggULsGLFCqnPggULsHz5cqxZswZRUVGwtLREQEAAMjIypD6BgYG4fPkywsPDsXfvXhw/fhyDBw/WxyYRERFRGaMQL+5Gec06dOgAJycnfPfdd1Jbt27dYG5ujk2bNkEIAVdXV4wbNw7jx48HACQnJ8PJyQlhYWHo1asXYmJi4OPjgzNnzqBBgwYAgP3796Ndu3b4559/4OrqWmwdKSkpsLGxQXJyMpRKpW42lojkTaHQdwVEZZeOooam39963bPTpEkTHD58GNeuXQMAXLx4ESdPnkTbtm0BALdv30Z8fDz8/f2lx9jY2KBx48aIjIwEAERGRsLW1lYKOgDg7+8PAwMDREVFFThuZmYmUlJSVG5EREQkT0b6HHzy5MlISUmBl5cXDA0NkZubi9mzZyMwMBAAEB8fDwBwcnJSeZyTk5O0LD4+Ho6OjirLjYyMYGdnJ/V52dy5czFz5kxtbw4RERGVQXrds/PTTz9h8+bN2LJlC86dO4cNGzZg4cKF2LBhg07HnTJlCpKTk6Xb/fv3dToeERER6Y9e9+xMmDABkydPRq9evQAANWvWxN27dzF37lwEBQXB2dkZAJCQkAAXFxfpcQkJCahTpw4AwNnZGYmJiSrrzcnJQVJSkvT4l5mamsLU1FQHW0RERERljV737Dx79gwGBqolGBoaIi8vDwDg4eEBZ2dnHD58WFqekpKCqKgo+Pr6AgB8fX3x5MkTREdHS32OHDmCvLw8NG7c+DVsBREREZVlet2z07FjR8yePRvvvPMOqlevjvPnz2Px4sXo378/AEChUGD06NH46quv4OnpCQ8PD0ydOhWurq7o0qULAMDb2xtt2rTBoEGDsGbNGmRnZyM0NBS9evXS6EwsIiIikje9hp0VK1Zg6tSpGDZsGBITE+Hq6oohQ4Zg2rRpUp+JEyciLS0NgwcPxpMnT9C0aVPs378fZmZmUp/NmzcjNDQUrVq1goGBAbp164bly5frY5OIiIiojNHrdXbKCl5nh4hKjdfZISrc23ydHSIiIiJdY9ghIiIiWWPYISIiIllj2CEiIiJZY9ghIiIiWWPYISIiIllj2CEiIiJZY9ghIiIiWWPYISIiIllj2CEiIiJZY9ghIiIiWWPYISIiIllj2CEiIiJZY9ghIiIiWWPYISIiIllj2CEiIiJZY9ghIiIiWWPYISIiIllj2CEiIiJZY9ghIiIiWWPYISIiIllj2CEiIiJZY9ghIiIiWWPYISIiIllj2CEiIiJZY9ghIiIiWWPYISIiIllj2CEiIiJZY9ghIiIiWWPYISIiIllj2CEiIiJZY9ghIiIiWWPYISIiIllj2CEiIiJZY9ghIiIiWWPYISIiIllj2CEiIiJZY9ghIiIiWWPYISIiIllj2CEiIiJZY9ghIiIiWWPYISIiIllj2CEiIiJZY9ghIiIiWWPYISIiIllj2CEiIiJZY9ghIiIiWWPYISIiIllj2CEiIiJZY9ghIiIiWWPYISIiIllj2CEiIiJZY9ghIiIiWWPYISIiIllj2CEiIiJZY9ghIiIiWWPYISIiIllj2CEiIiJZY9ghIiIiWWPYISIiIllj2CEiIiJZY9ghIiIiWWPYISIiIllj2CEiIiJZY9ghIiIiWWPYISIiIllj2CEiIiJZY9ghIiIiWWPYISIiIllj2CEiIiJZY9ghIiIiWdN72Pn333/Rp08f2Nvbw9zcHDVr1sTZs2el5UIITJs2DS4uLjA3N4e/vz+uX7+uso6kpCQEBgZCqVTC1tYWAwYMQGpq6uveFCIiIiqD9Bp2Hj9+DD8/PxgbG2Pfvn24cuUKFi1ahHLlykl9FixYgOXLl2PNmjWIioqCpaUlAgICkJGRIfUJDAzE5cuXER4ejr179+L48eMYPHiwPjaJiIiIyhiFEELoa/DJkycjIiICJ06cKHC5EAKurq4YN24cxo8fDwBITk6Gk5MTwsLC0KtXL8TExMDHxwdnzpxBgwYNAAD79+9Hu3bt8M8//8DV1bXYOlJSUmBjY4Pk5GQolUrtbSARvT0UCn1XQFR26ShqaPr9rdc9O3v27EGDBg3w8ccfw9HREXXr1sU333wjLb99+zbi4+Ph7+8vtdnY2KBx48aIjIwEAERGRsLW1lYKOgDg7+8PAwMDREVFFThuZmYmUlJSVG5EREQkT3oNO7du3cLq1avh6emJAwcOYOjQoRg5ciQ2bNgAAIiPjwcAODk5qTzOyclJWhYfHw9HR0eV5UZGRrCzs5P6vGzu3LmwsbGRbm5ubtreNCIiIioj9Bp28vLyUK9ePcyZMwd169bF4MGDMWjQIKxZs0an406ZMgXJycnS7f79+zodj4iIiPRHr2HHxcUFPj4+Km3e3t64d+8eAMDZ2RkAkJCQoNInISFBWubs7IzExESV5Tk5OUhKSpL6vMzU1BRKpVLlRkRERPKk17Dj5+eH2NhYlbZr167B3d0dAODh4QFnZ2ccPnxYWp6SkoKoqCj4+voCAHx9ffHkyRNER0dLfY4cOYK8vDw0btz4NWwFERERlWVG+hx8zJgxaNKkCebMmYMePXrg9OnTWLduHdatWwcAUCgUGD16NL766it4enrCw8MDU6dOhaurK7p06QLg+Z6gNm3aSIe/srOzERoail69eml0JhYRERHJnNCzX3/9VdSoUUOYmpoKLy8vsW7dOpXleXl5YurUqcLJyUmYmpqKVq1aidjYWJU+jx49Er179xZWVlZCqVSKkJAQ8fTpU41rSE5OFgBEcnKyVraJiN5Cz0+u5Y033gq66Yim3996vc5OWcHr7BBRqfE6O0SF01HU0Nl1du7fv49//vlHun/69GmMHj1aOvREREREVJaUOOx88sknOHr0KIDn17j58MMPcfr0aXz++eeYNWuW1gskIiIiKo0Sh52///4bjRo1AgD89NNPqFGjBk6dOoXNmzcjLCxM2/URERERlUqJw052djZMTU0BAIcOHUKnTp0AAF5eXoiLi9NudURERESlVOKwU716daxZswYnTpxAeHg42rRpAwB48OAB7O3ttV4gERERUWmUOOzMnz8fa9euRfPmzdG7d2/Url0bwPMf9cw/vEVERERUVrzSqee5ublISUlBuXLlpLY7d+7AwsJC7Uc53wQ89ZyISo2nnhMVTs+nnr/SFZQNDQ1Vgg4AVKpU6VVWRURERKRTJT6MlZCQgL59+8LV1RVGRkYwNDRUuRERERGVJSXesxMcHIx79+5h6tSpcHFxgYK7bomIiKgMK3HYOXnyJE6cOIE6derooBwiIiIi7SrxYSw3Nzfw57SIiIjoTVHisLN06VJMnjwZd+7c0UE5RERERNpV4sNYPXv2xLNnz1ClShVYWFjA2NhYZXlSUpLWiiMiIiIqrRKHnaVLl+qgDCIiIiLdKHHYCQoK0kUdRERERDqhUdhJSUmRrkyYkpJSZF9egZiIiIjKEo3CTrly5RAXFwdHR0fY2toWeG0dIQQUCgVyc3O1XiQRERHRq9Io7Bw5cgR2dnbSv3khQSIiInpTaPxDoLdv34aHh4eu69EL/hAoEZUa/wgkKpyefwhU4+vsVKlSBR4eHujfvz82bdqEf/75RyuFEhEREemSxmdjHTlyBMeOHcOxY8ewdetWZGVloXLlymjZsiVatGiBFi1awMnJSZe1EhEREZWYxoexXpSRkYFTp05J4ef06dPIzs6Gl5cXLl++rIs6dYqHsYio1HgYi6hwej6M9UphJ19WVhYiIiKwb98+rF27FqmpqW/k2VgMO0RUagw7RIXTc9gp0UUFs7Ky8Oeff+Lo0aM4duwYoqKi4Obmhg8++AD/+9//0KxZs1IXTkRERKRNGoedli1bIioqCh4eHmjWrBmGDBmCLVu2wMXFRZf1EREREZWKxmHnxIkTcHFxQcuWLdG8eXM0a9YM9vb2uqyNiIiIqNQ0PvX8yZMnWLduHSwsLDB//ny4urqiZs2aCA0NxY4dO/Dw4UNd1klERET0Sl55gvLTp09x8uRJaf7OxYsX4enpib///lvbNeocJygTUalxgjJR4d6Uiwq+zNLSEnZ2drCzs0O5cuVgZGSEmJiYV10dERERkU5oPGcnLy8PZ8+exbFjx3D06FFEREQgLS0NFSpUQIsWLbBy5Uq0aNFCl7USERERlZjGYcfW1hZpaWlwdnZGixYtsGTJEjRv3hxVqlTRZX1EREREpaJx2Pn666/RokULvPvuu7qsh4iIiEirNA47Q4YM0WUdRERERDrxyhOUiYiIiN4EDDtEREQkaww7REREJGsahZ169erh8ePHAIBZs2bh2bNnOi2KiIiISFs0CjsxMTFIS0sDAMycOROpqak6LYqIiIhIWzQ6G6tOnToICQlB06ZNIYTAwoULYWVlVWDfadOmabVAIiIiotLQ6LexYmNjMX36dNy8eRPnzp2Dj48PjIzUc5JCocC5c+d0Uqgu8bexiKjU+NtYRIXT829jlfiHQA0MDBAfHw9HR8dSF1lWMOwQUakx7BAVTs9hR+OLCubLy8srVWFEREREr1OJww4A3Lx5E0uXLpV+5dzHxwejRo3i72QRERFRmVPi6+wcOHAAPj4+OH36NGrVqoVatWohKioK1atXR3h4uC5qJCIiInplJZ6zU7duXQQEBGDevHkq7ZMnT8bBgwc5QZmI3k6cs0NUOD3P2Snxnp2YmBgMGDBArb1///64cuVKSVdHREREpFMlDjvly5fHhQsX1NovXLggqzO0iIiISB5KPEF50KBBGDx4MG7duoUmTZoAACIiIjB//nyMHTtW6wUSERERlUaJ5+wIIbB06VIsWrQIDx48AAC4urpiwoQJGDlyJBRv4HFrztkholJ7Az/7iF6bN+2igi96+vQpAMDa2vpVV1EmMOwQUakx7BAV7k27qOCL3vSQQ0RERPJX4gnKRERERG8Shh0iIiKSNYYdIiIikrUShZ3s7Gy0atUK169f11U9RERERFpVorBjbGyMS5cu6aoWIiIiIq0r8WGsPn364LvvvtNFLURERERaV+JTz3NycvD999/j0KFDqF+/PiwtLVWWL168WGvFEREREZVWicPO33//jXr16gEArl27prLsTbx6MhEREclbicPO0aNHdVEHERERkU688qnnN27cwIEDB5Ceng7g+W9mEREREZU1JQ47jx49QqtWrfDuu++iXbt2iIuLAwAMGDAA48aN03qBRERERKVR4rAzZswYGBsb4969e7CwsJDae/bsif3792u1OCIiIqLSKvGcnYMHD+LAgQOoWLGiSrunpyfu3r2rtcKIiIiItKHEe3bS0tJU9ujkS0pKgqmpqVaKIiIiItKWEoed999/Hz/88IN0X6FQIC8vDwsWLECLFi20WhwRERFRaZX4MNaCBQvQqlUrnD17FllZWZg4cSIuX76MpKQkRERE6KJGIiIioldW4j07NWrUwLVr19C0aVN07twZaWlp6Nq1K86fP48qVarookYiIiKiV6YQvEAOUlJSYGNjg+TkZCiVSn2XQ0RvIl5BnqhwOooamn5/l/gwFgA8fvwY3333HWJiYgAAPj4+CAkJgZ2d3atVS0RERKQjJT6Mdfz4cVSqVAnLly/H48eP8fjxYyxfvhweHh44fvz4Kxcyb948KBQKjB49WmrLyMjA8OHDYW9vDysrK3Tr1g0JCQkqj7t37x7at28PCwsLODo6YsKECcjJyXnlOoiIiEheSrxnZ/jw4ejZsydWr14NQ0NDAEBubi6GDRuG4cOH46+//ipxEWfOnMHatWtRq1YtlfYxY8bgt99+w/bt22FjY4PQ0FB07dpVmgidm5uL9u3bw9nZGadOnUJcXBz69esHY2NjzJkzp8R1EBERkQyJEjIzMxNXr15Va7969aowMzMr6erE06dPhaenpwgPDxfNmjUTo0aNEkII8eTJE2FsbCy2b98u9Y2JiREARGRkpBBCiN9//10YGBiI+Ph4qc/q1auFUqkUmZmZGteQnJwsAIjk5OQS109EJIQQ4vmsBN54462gm45o+v1d4sNY9erVk+bqvCgmJga1a9cucdgaPnw42rdvD39/f5X26OhoZGdnq7R7eXnhnXfeQWRkJAAgMjISNWvWhJOTk9QnICAAKSkpuHz5cqFjZmZmIiUlReVGRERE8qTRYaxLly5J/x45ciRGjRqFGzdu4L333gMA/Pnnn1i5ciXmzZtXosG3bduGc+fO4cyZM2rL4uPjYWJiAltbW5V2JycnxMfHS31eDDr5y/OXFWbu3LmYOXNmiWolIiKiN5NGYadOnTpQKBQQQkhtEydOVOv3ySefoGfPnhoNfP/+fYwaNQrh4eEwMzPTsFztmDJlCsaOHSvdT0lJgZub22utgYiIiF4PjcLO7du3tT5wdHQ0EhMTUa9ePaktNzcXx48fx//+9z8cOHAAWVlZePLkicrenYSEBDg7OwMAnJ2dcfr0aZX15p+tld+nIKampvwdLyIioreERmHH3d1d6wO3atVK7cytkJAQeHl5YdKkSXBzc4OxsTEOHz6Mbt26AQBiY2Nx7949+Pr6AgB8fX0xe/ZsJCYmwtHREQAQHh4OpVIJHx8frddMREREb55XuqjggwcPcPLkSSQmJiIvL09l2ciRIzVah7W1NWrUqKHSZmlpCXt7e6l9wIABGDt2LOzs7KBUKjFixAj4+vpKc4Vat24NHx8f9O3bFwsWLEB8fDy++OILDB8+nHtuiIiICMArhJ2wsDAMGTIEJiYmsLe3h+KFS6QrFAqNw44mlixZAgMDA3Tr1g2ZmZkICAjAqlWrpOWGhobYu3cvhg4dCl9fX1haWiIoKAizZs3SWg1ERET0Zivxb2O5ubnh008/xZQpU2BgUOIz18sk/jYWEZUafxuLqHAlixoa0/T7u8Rp5dmzZ+jVq5dsgg4RERHJW4kTy4ABA7B9+3Zd1EJERESkdSU+jJWbm4sOHTogPT0dNWvWhLGxscryxYsXa7XA14GHsYio1HgYi6hwej6MVeIJynPnzsWBAwdQrVo1AFCboExERERUlpQ47CxatAjff/89goODdVAOERERkXaVeM6Oqakp/Pz8dFELERERkdaVOOyMGjUKK1as0EUtRERERFpX4sNYp0+fxpEjR7B3715Ur15dbYLyzp07tVYcERERUWmVOOzY2tqia9euuqiFiIiISOtKHHbWr1+vizqIiIiIdIKXQSYiIiJZK/GeHQ8PjyKvp3Pr1q1SFURERESkTSUOO6NHj1a5n52djfPnz2P//v2YMGGCtuoiIiIi0ooSh51Ro0YV2L5y5UqcPXu21AURERERaZPW5uy0bdsWP//8s7ZWR0RERKQVWgs7O3bsgJ2dnbZWR0RERKQVJT6MVbduXZUJykIIxMfH4+HDh1i1apVWiyMiIiIqrRKHnS5duqjcNzAwQPny5dG8eXN4eXlpqy4iIiIirVAIIYS+i9C3lJQU2NjYIDk5GUqlUt/lENGbqIhLchC99XQUNTT9/uZFBYmIiEjWND6MZWBgUOTFBAFAoVAgJyen1EURERERaYvGYWfXrl2FLouMjMTy5cuRl5enlaKIiIiItEXjsNO5c2e1ttjYWEyePBm//vorAgMDMWvWLK0WR0RERFRarzRn58GDBxg0aBBq1qyJnJwcXLhwARs2bIC7u7u26yMiIiIqlRKFneTkZEyaNAlVq1bF5cuXcfjwYfz666+oUaOGruojIiIiKhWND2MtWLAA8+fPh7OzM7Zu3VrgYS0iIiKiskbj6+wYGBjA3Nwc/v7+MDQ0LLTfzp07tVbc68Lr7BBRqfE6O0SF0/N1djTes9OvX79iTz0nIiIiKms0DjthYWE6LIOIiIhIN3gFZSIiIpI1hh0iIiKSNYYdIiIikjWGHSIiIpI1hh0iIiKSNYYdIiIikjWGHSIiIpI1hh0iIiKSNYYdIiIikjWGHSIiIpI1hh0iIiKSNYYdIiIikjWGHSIiIpI1hh0iIiKSNYYdIiIikjWGHSIiIpI1hh0iIiKSNYYdIiIikjWGHSIiIpI1hh0iIiKSNYYdIiIikjWGHSIiIpI1hh0iIiKSNYYdIiIikjWGHSIiIpI1hh0iIiKSNYYdIiIikjWGHSIiIpI1hh0iIiKSNYYdIiIikjWGHSIiIpI1hh0iIiKSNYYdIiIikjWGHSIiIpI1hh0iIiKSNYYdIiIikjWGHSIiIpI1hh0iIiKSNYYdIiIikjWGHSIiIpI1hh0iIiKSNb2Gnblz56Jhw4awtraGo6MjunTpgtjYWJU+GRkZGD58OOzt7WFlZYVu3bohISFBpc+9e/fQvn17WFhYwNHRERMmTEBOTs7r3BQiIiIqo/Qadv744w8MHz4cf/75J8LDw5GdnY3WrVsjLS1N6jNmzBj8+uuv2L59O/744w88ePAAXbt2lZbn5uaiffv2yMrKwqlTp7BhwwaEhYVh2rRp+tgkIiIiKmMUQgih7yLyPXz4EI6Ojvjjjz/wwQcfIDk5GeXLl8eWLVvQvXt3AMDVq1fh7e2NyMhIvPfee9i3bx86dOiABw8ewMnJCQCwZs0aTJo0CQ8fPoSJiUmx46akpMDGxgbJyclQKpU63UYikimFQt8VEJVdOooamn5/l6k5O8nJyQAAOzs7AEB0dDSys7Ph7+8v9fHy8sI777yDyMhIAEBkZCRq1qwpBR0ACAgIQEpKCi5fvvwaqyciIqKyyEjfBeTLy8vD6NGj4efnhxo1agAA4uPjYWJiAltbW5W+Tk5OiI+Pl/q8GHTyl+cvK0hmZiYyMzOl+ykpKdraDCIiIipjysyeneHDh+Pvv//Gtm3bdD7W3LlzYWNjI93c3Nx0PiYRERHpR5kIO6Ghodi7dy+OHj2KihUrSu3Ozs7IysrCkydPVPonJCTA2dlZ6vPy2Vn59/P7vGzKlClITk6Wbvfv39fi1hAREVFZotewI4RAaGgodu3ahSNHjsDDw0Nlef369WFsbIzDhw9LbbGxsbh37x58fX0BAL6+vvjrr7+QmJgo9QkPD4dSqYSPj0+B45qamkKpVKrciIiISJ70Omdn+PDh2LJlC3bv3g1ra2tpjo2NjQ3Mzc1hY2ODAQMGYOzYsbCzs4NSqcSIESPg6+uL9957DwDQunVr+Pj4oG/fvliwYAHi4+PxxRdfYPjw4TA1NdXn5hEREVEZoNdTzxWFnKq5fv16BAcHA3h+UcFx48Zh69atyMzMREBAAFatWqVyiOru3bsYOnQojh07BktLSwQFBWHevHkwMtIsy/HUcyIqNZ56TlQ4PZ96Xqaus6MvDDtEVGoMO0SF43V2iIiIiHSHYYeIiIhkjWGHiIiIZI1hh4iIiGSNYYeIiIhkjWGHiIiIZI1hh4iIiGSNYYeIiIhkjWGHiIiIZI1hh4iIiGSNYYeIiIhkjWGHiIiIZI1hh4iIiGSNYYeIiIhkjWGHiIiIZI1hh4iIiGSNYYeIiIhkjWGHiIiIZM1I3wXInUKh7wqIyjYh9F0BEckd9+wQERGRrDHsEBERkawx7BAREZGsMewQERGRrDHsEBERkawx7BAREZGsMewQERGRrDHsEBERkawx7BAREZGsMewQERGRrDHsEBERkawx7BAREZGsMewQERGRrDHsEBERkawx7BAREZGsMewQERGRrDHsEBERkawx7BAREZGsMewQERGRrDHsEBERkawx7BAREZGsMewQERGRrDHsEBERkawx7BAREZGsMewQERGRrDHsEBERkawx7BAREZGsMewQERGRrDHsEBERkawx7BAREZGsMewQERGRrDHsEBERkawx7BAREZGsMewQERGRrDHsEBERkawx7BAREZGsMewQERGRrDHsEBERkawx7BAREZGsMewQERGRrDHsEBERkawx7BAREZGsMewQERGRrDHsEBERkawx7BAREZGsMewQERGRrDHsEBERkawx7BAREZGsMewQERGRrDHsEBERkawx7BAREZGsMewQERGRrMkm7KxcuRKVKlWCmZkZGjdujNOnT+u7JCIiIioDZBF2fvzxR4wdOxbTp0/HuXPnULt2bQQEBCAxMVHfpREREZGeySLsLF68GIMGDUJISAh8fHywZs0aWFhY4Pvvv9d3aURERKRnb3zYycrKQnR0NPz9/aU2AwMD+Pv7IzIyUo+VERERUVlgpO8CSuu///5Dbm4unJycVNqdnJxw9erVAh+TmZmJzMxM6X5ycjIAICUlRXeFElGB+LYjegvo6I2e/70thCiy3xsfdl7F3LlzMXPmTLV2Nzc3PVRD9HazsdF3BUSkczp+oz99+hQ2RYzxxocdBwcHGBoaIiEhQaU9ISEBzs7OBT5mypQpGDt2rHQ/Ly8PSUlJsLe3h0Kh0Gm9pD8pKSlwc3PD/fv3oVQq9V0OEekI3+tvDyEEnj59CldX1yL7vfFhx8TEBPXr18fhw4fRpUsXAM/Dy+HDhxEaGlrgY0xNTWFqaqrSZmtrq+NKqaxQKpX8ACR6C/C9/nYoao9Ovjc+7ADA2LFjERQUhAYNGqBRo0ZYunQp0tLSEBISou/SiIiISM9kEXZ69uyJhw8fYtq0aYiPj0edOnWwf/9+tUnLRERE9PaRRdgBgNDQ0EIPWxEBzw9fTp8+Xe0QJhHJC9/r9DKFKO58LSIiIqI32Bt/UUEiIiKiojDsEBERkawx7BAREZGsMexQqcyYMQN16tQptt/UqVMxePBg3RdUgDt37kChUODChQs6Hys4OFi63hPw/IJXgwcPhp2dndZqqFSpEpYuXVrq9eT777//4OjoiH/++Udr66S31wcffIAtW7ZI9+Pj4/Hhhx/C0tLyjb6eWUGfdTNmzICTkxMUCgV++eWXUo/RvHlzjB49utTryZeVlYVKlSrh7NmzWlvnm4phR0YUCkWRtxkzZuilrvj4eCxbtgyff/651KbtN3VZtX//foSFhWHv3r2Ii4tDjRo19F2SGgcHB/Tr1w/Tp0/Xdyn0CoKDgwt8v9+4ceO117Jnzx4kJCSgV69eUtuSJUsQFxeHCxcu4Nq1a6+9Jl2JiYnBzJkzsXbtWsTFxaFt27b6LkmNiYkJxo8fj0mTJum7FL2TzannBMTFxUn//vHHHzFt2jTExsZKbVZWVvooC99++y2aNGkCd3d3vYyvTzdv3oSLiwuaNGmi71KKFBISgvr16+Prr7+GnZ2dvsuhEmrTpg3Wr1+v0la+fHm1fllZWTAxMdFZHcuXL0dISAgMDP7v7+ibN2+ifv368PT0LPRx2dnZMDY21lldunDz5k0AQOfOncv0zwwFBgZi3LhxuHz5MqpXr67vcvSGe3ZkxNnZWbrZ2NhAoVBI9x0dHbF48WJUrFgRpqam0oUXXzRp0iS8++67sLCwQOXKlTF16lRkZ2er9Jk3bx6cnJxgbW2NAQMGICMjo9i6tm3bho4dO0r3g4OD8ccff2DZsmXSX6F37twBAPzxxx9o1KgRTE1N4eLigsmTJyMnJ0d67P79+9G0aVPY2trC3t4eHTp0kD508p0+fRp169aFmZkZGjRogPPnz2v8HD5+/BiBgYEoX748zM3N4enpqfIlcv/+ffTo0QO2traws7ND586dpdpfFhwcjBEjRuDevXtQKBSoVKlSseM3b95cumaUjY0NHBwcMHXq1CJ/0Xfx4sWoWbMmLC0t4ebmhmHDhiE1NRUAkJaWBqVSiR07dqg85pdffoGlpSWePn0KAKhevTpcXV2xa9euYmukssfU1FTl/e/s7AxDQ0Pp9TR69Gg4ODggICAAQPHvs6dPnyIwMBCWlpZwcXHBkiVLit0b+/DhQxw5ckTlvV6pUiX8/PPP+OGHH6BQKBAcHAzg+V7o1atXo1OnTrC0tMTs2bMBAKtXr0aVKlVgYmKCatWqYePGjSpjXL16FU2bNoWZmRl8fHxw6NAhjQ8hZWVlITQ0FC4uLjAzM4O7uzvmzp0rLX/y5AkGDhyI8uXLQ6lUomXLlrh48WKB65oxY4a0nQYGBhqFnfxD3DNnzpTG+PTTT5GVlVXoYzZu3IgGDRrA2toazs7O+OSTT5CYmAjg+SHyqlWrYuHChSqPuXDhgsqevXLlysHPzw/btm0rtkY5Y9h5SyxbtgyLFi3CwoULcenSJQQEBKBTp064fv261Mfa2hphYWG4cuUKli1bhm+++QZLliyRlv/000+YMWMG5syZg7Nnz8LFxQWrVq0qctykpCRcuXIFDRo0UKnF19cXgwYNQlxcHOLi4uDm5oZ///0X7dq1Q8OGDXHx4kWsXr0a3333Hb766ivpsWlpaRg7dizOnj2Lw4cPw8DAAB999BHy8vIAAKmpqejQoQN8fHwQHR2NGTNmYPz48Ro/T1OnTsWVK1ewb98+xMTEYPXq1XBwcADw/K/PgIAAWFtb48SJE4iIiICVlRXatGlT4AfWsmXLMGvWLFSsWBFxcXE4c+aMRjVs2LABRkZGOH36NJYtW4bFixfj22+/LbS/gYEBli9fjsuXL2PDhg04cuQIJk6cCACwtLREr1691P7qX79+Pbp37w5ra2uprVGjRjhx4oRGNdKbY8OGDTAxMUFERATWrFmj0fts7NixiIiIwJ49exAeHo4TJ07g3LlzRY5z8uRJWFhYwNvbW2o7c+YM2rRpgx49eiAuLg7Lli2Tls2YMQMfffQR/vrrL/Tv3x+7du3CqFGjMG7cOPz9998YMmQIQkJCcPToUQBAbm4uunTpAgsLC0RFRWHdunUqh8aLs3z5cuzZswc//fQTYmNjsXnzZpU/QD7++GMkJiZi3759iI6ORr169dCqVSskJSWprWv8+PHSeyr/M0wThw8fRkxMDI4dO4atW7di586dmDlzZqH9s7Oz8eWXX+LixYv45ZdfcOfOHZXA2L9//wLf2x988AGqVq0qtfG9DUCQLK1fv17Y2NhI911dXcXs2bNV+jRs2FAMGzas0HV8/fXXon79+tJ9X19ftf6NGzcWtWvXLnQd58+fFwDEvXv3VNqbNWsmRo0apdL22WefiWrVqom8vDypbeXKlcLKykrk5uYWuP6HDx8KAOKvv/4SQgixdu1aYW9vL9LT06U+q1evFgDE+fPnC60zX8eOHUVISEiByzZu3KhWX2ZmpjA3NxcHDhwQQggRFBQkOnfuLC1fsmSJcHd3L3bcfM2aNRPe3t4qY0yaNEl4e3tL993d3cWSJUsKXcf27duFvb29dD8qKkoYGhqKBw8eCCGESEhIEEZGRuLYsWMqjxszZoxo3ry5xrVS2RAUFCQMDQ2FpaWldOvevbsQ4vnrqW7duir9i3ufpaSkCGNjY7F9+3Zp+ZMnT4SFhYXae/ZFS5YsEZUrV1Zr79y5swgKClJpAyBGjx6t0takSRMxaNAglbaPP/5YtGvXTgghxL59+4SRkZGIi4uTloeHhwsAYteuXYXWlW/EiBGiZcuWKtud78SJE0KpVIqMjAyV9ipVqoi1a9cKIYSYPn26ymfdrl27REm+QoOCgoSdnZ1IS0uT2lavXq3y+VbQ5+KLzpw5IwCIp0+fCiGE+Pfff4WhoaGIiooSQgiRlZUlHBwcRFhYmMrjli1bJipVqqRxrXLEPTtvgZSUFDx48AB+fn4q7X5+foiJiZHu//jjj/Dz84OzszOsrKzwxRdf4N69e9LymJgYNG7cWGUdvr6+RY6dnp4OADAzMyu2zpiYGPj6+qrsEvbz80Nqaqp0ptD169fRu3dvVK5cGUqlUvrLLL/OmJgY1KpVS2W84mp80dChQ7Ft2zbUqVMHEydOxKlTp6RlFy9exI0bN2BtbQ0rKytYWVnBzs4OGRkZaofSSuO9995TeQ58fX1x/fp15ObmFtj/0KFDaNWqFSpUqABra2v07dsXjx49wrNnzwA8/6uuevXq2LBhAwBg06ZNcHd3xwcffKCyHnNzc+kx9GZp0aIFLly4IN2WL18uLatfv75K3+LeZ7du3UJ2djYaNWokLbexsUG1atWKrCE9PV2j93m+F/f25tdV1GdUbGws3Nzc4OzsLC1/scbiBAcH48KFC6hWrRpGjhyJgwcPSssuXryI1NRU2NvbS+9tKysr3L59W6vv7dq1a8PCwkK67+vri9TUVNy/f7/A/tHR0ejYsSPeeecdWFtbo1mzZgD+7/PO1dUV7du3x/fffw8A+PXXX5GZmYmPP/5YZT18b/MwFv1/kZGRCAwMRLt27bB3716cP38en3/+eZHHkzWRfwjo8ePH2igTHTt2RFJSEr755htERUUhKioKAEpdZ762bdvi7t27GDNmDB48eIBWrVpJh8FSU1NRv359lS+V/DNMPvnkE62MX1J37txBhw4dUKtWLfz888+Ijo7GypUrAag+JwMHDkRYWBiA57u5Q0JC1OYZJCUlFTiplco+S0tLVK1aVbq5uLioLHsdHBwcSvQ+f1115atXrx5u376NL7/8Eunp6ejRowe6d+8O4Pl728XFRe29HRsbiwkTJrzWOvOlpaUhICAASqUSmzdvxpkzZ6Q5dS+/t7dt24b09HSsX78ePXv2VAlUAN/bAMPOW0GpVMLV1RUREREq7REREfDx8QEAnDp1Cu7u7vj888/RoEEDeHp64u7duyr9vb29pXCR788//yxy7CpVqkCpVOLKlSsq7SYmJmp7Kry9vREZGakyGTciIgLW1taoWLEiHj16hNjYWHzxxRdo1aoVvL291T5cvb29cenSJZWJ08XV+LLy5csjKCgImzZtwtKlS7Fu3ToAzz8sr1+/DkdHR5UvlqpVq8LGxqZEYxSloOfY09MThoaGan2jo6ORl5eHRYsW4b333sO7776LBw8eqPXr06cP7t69i+XLl+PKlSsICgpS6/P333+jbt26WtsOKpuKe59VrlwZxsbGKnPMkpOTiz1tvG7duoiPj3/lP2y8vb2L/IyqVq0a7t+/j4SEBGm5pvPg8imVSvTs2RPffPMNfvzxR/z8889ISkpCvXr1EB8fDyMjI7X3dv4fbNpw8eJFaW838Py9bWVlBTc3N7W+V69exaNHjzBv3jy8//778PLykiYnv6hdu3awtLTE6tWrsX//fvTv31+tD9/bDDtvjQkTJmD+/Pn48ccfERsbi8mTJ+PChQsYNWoUAMDT0xP37t3Dtm3bcPPmTSxfvlztzJxRo0bh+++/x/r163Ht2jVMnz4dly9fLnJcAwMD+Pv74+TJkyrtlSpVQlRUFO7cuYP//vsPeXl5GDZsGO7fv48RI0bg6tWr2L17N6ZPn46xY8fCwMAA5cqVg729PdatW4cbN27gyJEjGDt2rMp6P/nkEygUCgwaNAhXrlzB77//rna2QlGmTZuG3bt348aNG7h8+TL27t0rTbgMDAyEg4MDOnfujBMnTuD27ds4duwYRo4cqdUL8t27dw9jx45FbGwstm7dihUrVkj/Ty+rWrUqsrOzsWLFCty6dQsbN27EmjVr1PqVK1cOXbt2xYQJE9C6dWtUrFhRZfmzZ88QHR2N1q1ba207qGwq7n1mbW2NoKAgTJgwAUePHsXly5cxYMCAYs86qlu3LhwcHNQCi6YmTJiAsLAwrF69GtevX8fixYuxc+dOac/qhx9+iCpVqiAoKAiXLl1CREQEvvjiCwDQ6GyoxYsXY+vWrbh69SquXbuG7du3w9nZGba2tvD394evry+6dOmCgwcP4s6dOzh16hQ+//xzrV6QLysrCwMGDJA+m6ZPn47Q0FCVU/XzvfPOOzAxMZHe23v27MGXX36p1s/Q0BDBwcGYMmUKPD09Czxsf+LECb639T1piHTj5QnKubm5YsaMGaJChQrC2NhY1K5dW+zbt0/lMRMmTBD29vbCyspK9OzZUyxZskRlHUIIMXv2bOHg4CCsrKxEUFCQmDhxYpETlIUQ4vfffxcVKlRQmWQcGxsr3nvvPWFubi4AiNu3bwshhDh27Jho2LChMDExEc7OzmLSpEkiOztbelx4eLjw9vYWpqamolatWuLYsWNqExQjIyNF7dq1hYmJiahTp474+eefNZ6g/OWXXwpvb29hbm4u7OzsROfOncWtW7ek5XFxcaJfv37CwcFBmJqaisqVK4tBgwaJ5ORkIYR2JigPGzZMfPrpp0KpVIpy5cqJzz77TGVS5csTlBcvXixcXFyEubm5CAgIED/88IMAIB4/fqyy7sOHDwsA4qefflIbd8uWLaJatWoa10llx8uvuRcVNuG1uPdZSkqK+OSTT4SFhYVwdnYWixcvFo0aNRKTJ08uspaJEyeKXr16qbQVNkG5oEnFq1atEpUrVxbGxsbi3XffFT/88IPK8piYGOHn5ydMTEyEl5eX+PXXXwUAsX///iLrEkKIdevWiTp16ghLS0uhVCpFq1atxLlz51S2ecSIEcLV1VUYGxsLNzc3ERgYKJ1coY0Jyp07dxbTpk2TPmcHDRqkMin65f+vLVu2iEqVKglTU1Ph6+sr9uzZU+Bn2c2bNwUAsWDBArVxT506JWxtbcWzZ880rlWOGHZI5/Ly8kTDhg3Fli1b9F1KmVfc2Ril8cMPPwh7e3uRmZmptqxx48Zi8+bNOhmX3nypqanCxsZGfPvtt0X2i4uLE3Z2duLOnTuvpa6TJ08KAOLGjRuvZbzSKCqUltbx48eFsbGxiI+PV1vWo0cPtTNx30a8gjLpnEKhwLp16/DXX3/pu5S30rNnzxAXF4d58+ZhyJAhalfQ/e+//9C1a1f07t1bTxVSWXP+/HlcvXoVjRo1QnJyMmbNmgXg+dWCi+Ls7IzvvvsO9+7d08kV03ft2gUrKyt4enrixo0bGDVqFPz8/FClShWtj/UmyMzMxMOHDzFjxgx8/PHHcHJyUlmelZWFmjVrYsyYMXqqsOzgnB16LerUqYO+ffvquwx8+umnKqeWvnj79NNPdTr2vXv3Ch3byspK5TR/bVqwYAG8vLzg7OyMKVOmqC13cHDAxIkTy/Ql7+n1W7hwIWrXrg1/f3+kpaXhxIkTGk3W7dKlC95//32d1PT06VMMHz4cXl5eCA4ORsOGDbF7924AwJw5cwp9b72O360q6r2tqwv6bd26Fe7u7njy5AkWLFigttzExARffPEFzM3NdTL+m0QhRBHXoSeSmcTERKSkpBS4TKlUwtHRUWdj5+TkFPrTEsDzSdtGRtzZSvQqkpKSCrzaMfD8OjMVKlTQ6fhF/fBqhQoVGDj0jGGHiIiIZI2HsYiIiEjWGHaIiIhI1hh2iIiISNYYdojojREWFgZbW1t9l0FEbxiGHSIqU4KDg6FQKKBQKGBiYoKqVati1qxZyMnJ0XdpRPSG4nmuRFTmtGnTBuvXr0dmZiZ+//13DB8+HMbGxiq/5q1P2dnZMDY21ncZRKQh7tkhojLH1NQUzs7OcHd3x9ChQ+Hv7489e/ao9bt58yY6d+4MJycnWFlZoWHDhjh06JC0fNasWahRo4ba4+rUqYOpU6dK97/99lt4e3vDzMwMXl5eWLVqlbTszp07UCgU+PHHH9GsWTOYmZlh8+bNWt5iItIlhh0iKvPMzc2RlZWl1p6amop27drh8OHDOH/+PNq0aYOOHTtKV6Pu378/YmJicObMGekx58+fx6VLlxASEgIA2Lx5M6ZNm4bZs2cjJiYGc+bMwdSpU7FhwwaVsSZPnoxRo0YhJiYGAQEBOtxaItI2HsYiojJLCIHDhw/jwIEDGDFihNry2rVro3bt2tL9L7/8Ert27cKePXsQGhqKihUrIiAgAOvXr0fDhg0BAOvXr0ezZs1QuXJlAMD06dOxaNEidO3aFQDg4eGBK1euYO3atQgKCpLWPXr0aKkPEb1ZuGeHiMqcvXv3wsrKCmZmZmjbti169uyJGTNmqPVLTU3F+PHj4e3tDVtbW1hZWSEmJkbld8YGDRqErVu3IiMjA1lZWdiyZQv69+8PAEhLS8PNmzcxYMAAld8y+uqrr3Dz5k2VsRo0aKDTbSYi3eGeHSIqc1q0aIHVq1fDxMQErq6uhf5m2Pjx4xEeHo6FCxeiatWqMDc3R/fu3VUOeXXs2BGmpqbYtWsXTExMkJ2dje7duwN4HpYA4JtvvkHjxo1V1m1oaKhy39LSUpubSESvEcMOEZU5lpaWqFq1arH9IiIiEBwcjI8++gjA8/Dy8o+tGhkZISgoCOvXr4eJiQl69eol/Sijk5MTXF1dcevWLQQGBmp9O4iobGDYIaI3lqenJ3bu3ImOHTtCoVBg6tSpyMvLU+s3cOBAeHt7A3gekF40c+ZMjBw5EjY2NmjTpg0yMzNx9uxZPH78GGPHjn0t20FEusWwQ0RvrMWLF6N///5o0qQJHBwcMGnSJKSkpKj18/T0RJMmTZCUlKR2uGrgwIGwsLDA119/jQkTJsDS0hI1a9bE6NGjX9NWEJGuKYQQQt9FEBHpkhACnp6eGDZsGPfWEL2FuGeHiGTt4cOH2LZtG+Lj46Vr6xDR24Vhh4hkzdHREQ4ODli3bh3KlSun73KISA8YdohI1niknoh4UUEiIiKSNYYdIiIikjWGHSIiIpI1hh0iIiKSNYYdIiIikjWGHSIiIpI1hh0iIiKSNYYdIiIikjWGHSIiIpK1/wcOXtG0cEZd6AAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "num_games = 1000\n",
    "starting_player = 'mix'\n",
    "results = simulate_many_games(num_games, G, toad_self_play, frog_self_play,\n",
    "                                starting_player=starting_player, verbose=False, plot=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Toads won 403 games (40.3%)\n",
      "Frogs won 597 games (59.7%)\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "num_games = 1000\n",
    "starting_player = 'mix'\n",
    "results = simulate_many_games(num_games, G, toad_self_play, random_frog,\n",
    "                                starting_player=starting_player, verbose=False, plot=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Toads won 353 games (35.3%)\n",
      "Frogs won 647 games (64.7%)\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "num_games = 1000\n",
    "starting_player = 'mix'\n",
    "results = simulate_many_games(num_games, H, random_toad, frog_self_play,\n",
    "                                starting_player=starting_player, verbose=False, plot=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Initializing game between toad_self_play as Toads and random as Frogs...\n",
      "|T|T|T|T|T|T| | | | | | | | | |F|F|F|F|F|F|\n",
      "toad_self_play makes move 1\n",
      "|T|T|T|T|T| |T| | | | | | | | |F|F|F|F|F|F|\n",
      "random makes move 1\n",
      "|T|T|T|T|T| |T| | | | | | | |F| |F|F|F|F|F|\n",
      "toad_self_play makes move 1\n",
      "|T|T|T|T|T| | |T| | | | | | |F| |F|F|F|F|F|\n",
      "random makes move 2\n",
      "|T|T|T|T|T| | |T| | | | | | |F|F| |F|F|F|F|\n",
      "toad_self_play makes move 1\n",
      "|T|T|T|T|T| | | |T| | | | | |F|F| |F|F|F|F|\n",
      "random makes move 3\n",
      "|T|T|T|T|T| | | |T| | | | | |F|F|F| |F|F|F|\n",
      "toad_self_play makes move 2\n",
      "|T|T|T|T| |T| | |T| | | | | |F|F|F| |F|F|F|\n",
      "random makes move 1\n",
      "|T|T|T|T| |T| | |T| | | | |F| |F|F| |F|F|F|\n",
      "toad_self_play makes move 1\n",
      "|T|T|T|T| |T| | | |T| | | |F| |F|F| |F|F|F|\n",
      "random makes move 4\n",
      "|T|T|T|T| |T| | | |T| | | |F| |F|F|F| |F|F|\n",
      "toad_self_play makes move 1\n",
      "|T|T|T|T| |T| | | | |T| | |F| |F|F|F| |F|F|\n",
      "random makes move 5\n",
      "|T|T|T|T| |T| | | | |T| | |F| |F|F|F|F| |F|\n",
      "toad_self_play makes move 1\n",
      "|T|T|T|T| |T| | | | | |T| |F| |F|F|F|F| |F|\n",
      "random makes move 2\n",
      "|T|T|T|T| |T| | | | | |T| |F|F| |F|F|F| |F|\n",
      "toad_self_play makes move 2\n",
      "|T|T|T|T| | |T| | | | |T| |F|F| |F|F|F| |F|\n",
      "random makes move 6\n",
      "|T|T|T|T| | |T| | | | |T| |F|F| |F|F|F|F| |\n",
      "toad_self_play makes move 1\n",
      "|T|T|T|T| | |T| | | | | |T|F|F| |F|F|F|F| |\n",
      "random makes move 1\n",
      "|T|T|T|T| | |T| | | | |F|T| |F| |F|F|F|F| |\n",
      "toad_self_play makes move 3\n",
      "|T|T|T| |T| |T| | | | |F|T| |F| |F|F|F|F| |\n",
      "random makes move 1\n",
      "|T|T|T| |T| |T| | | |F| |T| |F| |F|F|F|F| |\n",
      "toad_self_play makes move 3\n",
      "|T|T|T| | |T|T| | | |F| |T| |F| |F|F|F|F| |\n",
      "random makes move 3\n",
      "|T|T|T| | |T|T| | | |F| |T| |F|F| |F|F|F| |\n",
      "toad_self_play makes move 4\n",
      "|T|T| |T| |T|T| | | |F| |T| |F|F| |F|F|F| |\n",
      "random makes move 2\n",
      "|T|T| |T| |T|T| | | |F| |T|F| |F| |F|F|F| |\n",
      "toad_self_play makes move 5\n",
      "|T| |T|T| |T|T| | | |F| |T|F| |F| |F|F|F| |\n",
      "random makes move 4\n",
      "|T| |T|T| |T|T| | | |F| |T|F| |F|F| |F|F| |\n",
      "toad_self_play makes move 6\n",
      "| |T|T|T| |T|T| | | |F| |T|F| |F|F| |F|F| |\n",
      "random makes move 2\n",
      "| |T|T|T| |T|T| | | |F|F|T| | |F|F| |F|F| |\n",
      "toad_self_play makes move 1\n",
      "| |T|T|T| |T|T| | | |F|F| |T| |F|F| |F|F| |\n",
      "random makes move 3\n",
      "| |T|T|T| |T|T| | | |F|F| |T|F| |F| |F|F| |\n",
      "toad_self_play makes move 1\n",
      "| |T|T|T| |T|T| | | |F|F| | |F|T|F| |F|F| |\n",
      "random makes move 1\n",
      "| |T|T|T| |T|T| | |F| |F| | |F|T|F| |F|F| |\n",
      "toad_self_play makes move 1\n",
      "| |T|T|T| |T|T| | |F| |F| | |F| |F|T|F|F| |\n",
      "random makes move 2\n",
      "| |T|T|T| |T|T| | |F|F| | | |F| |F|T|F|F| |\n",
      "toad_self_play makes move 2\n",
      "| |T|T|T| |T| |T| |F|F| | | |F| |F|T|F|F| |\n",
      "random makes move 4\n",
      "| |T|T|T| |T| |T| |F|F| | | |F|F| |T|F|F| |\n",
      "toad_self_play makes move 3\n",
      "| |T|T|T| | |T|T| |F|F| | | |F|F| |T|F|F| |\n",
      "random makes move 3\n",
      "| |T|T|T| | |T|T| |F|F| | |F| |F| |T|F|F| |\n",
      "toad_self_play makes move 4\n",
      "| |T|T| |T| |T|T| |F|F| | |F| |F| |T|F|F| |\n",
      "random makes move 3\n",
      "| |T|T| |T| |T|T| |F|F| |F| | |F| |T|F|F| |\n",
      "toad_self_play makes move 5\n",
      "| |T| |T|T| |T|T| |F|F| |F| | |F| |T|F|F| |\n",
      "random makes move 4\n",
      "| |T| |T|T| |T|T| |F|F| |F| |F| | |T|F|F| |\n",
      "toad_self_play makes move 6\n",
      "| | |T|T|T| |T|T| |F|F| |F| |F| | |T|F|F| |\n",
      "random makes move 5\n",
      "| | |T|T|T| |T|T| |F|F| |F| |F| |F|T| |F| |\n",
      "toad_self_play makes move 1\n",
      "| | |T|T|T| |T|T| |F|F| |F| |F| |F| |T|F| |\n",
      "random makes move 4\n",
      "| | |T|T|T| |T|T| |F|F| |F|F| | |F| |T|F| |\n",
      "toad_self_play makes move 2\n",
      "| | |T|T|T| |T| |T|F|F| |F|F| | |F| |T|F| |\n",
      "random makes move 3\n",
      "| | |T|T|T| |T| |T|F|F|F| |F| | |F| |T|F| |\n",
      "toad_self_play makes move 3\n",
      "| | |T|T|T| | |T|T|F|F|F| |F| | |F| |T|F| |\n",
      "random makes move 4\n",
      "| | |T|T|T| | |T|T|F|F|F|F| | | |F| |T|F| |\n",
      "toad_self_play makes move 4\n",
      "| | |T|T| |T| |T|T|F|F|F|F| | | |F| |T|F| |\n",
      "random makes move 6\n",
      "| | |T|T| |T| |T|T|F|F|F|F| | | |F|F|T| | |\n",
      "toad_self_play makes move 1\n",
      "| | |T|T| |T| |T|T|F|F|F|F| | | |F|F| |T| |\n",
      "random makes move 5\n",
      "| | |T|T| |T| |T|T|F|F|F|F| | |F| |F| |T| |\n",
      "toad_self_play makes move 4\n",
      "| | |T|T| | |T|T|T|F|F|F|F| | |F| |F| |T| |\n",
      "random makes move 6\n",
      "| | |T|T| | |T|T|T|F|F|F|F| | |F|F| | |T| |\n",
      "toad_self_play makes move 1\n",
      "| | |T|T| | |T|T|T|F|F|F|F| | |F|F| | | |T|\n",
      "random makes move 5\n",
      "| | |T|T| | |T|T|T|F|F|F|F| |F| |F| | | |T|\n",
      "toad_self_play makes move 5\n",
      "| | |T| |T| |T|T|T|F|F|F|F| |F| |F| | | |T|\n",
      "random makes move 5\n",
      "| | |T| |T| |T|T|T|F|F|F|F|F| | |F| | | |T|\n",
      "toad_self_play makes move 6\n",
      "| | | |T|T| |T|T|T|F|F|F|F|F| | |F| | | |T|\n",
      "random makes move 6\n",
      "| | | |T|T| |T|T|T|F|F|F|F|F| |F| | | | |T|\n",
      "toad_self_play makes move 5\n",
      "| | | |T| |T|T|T|T|F|F|F|F|F| |F| | | | |T|\n",
      "random makes move 6\n",
      "| | | |T| |T|T|T|T|F|F|F|F|F|F| | | | | |T|\n",
      "toad_self_play makes move 6\n",
      "| | | | |T|T|T|T|T|F|F|F|F|F|F| | | | | |T|\n",
      "toad_self_play playing as Toads wins in 65 moves!\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "True"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "run_game_loop(G, toad_self_play, random_frog)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Initializing game between toad_rl as Toads and logan as Frogs...\n",
      "|T|T| | | | |F|F|\n",
      "toad_rl makes move 1\n",
      "|T| |T| | | |F|F|\n",
      "logan makes move 1\n",
      "|T| |T| | |F| |F|\n",
      "toad_rl makes move 2\n",
      "| |T|T| | |F| |F|\n",
      "logan makes move 1\n",
      "| |T|T| |F| | |F|\n",
      "toad_rl makes move 1\n",
      "| |T| |T|F| | |F|\n",
      "logan makes move 2\n",
      "| |T| |T|F| |F| |\n",
      "toad_rl makes move 1\n",
      "| |T| | |F|T|F| |\n",
      "logan makes move 1\n",
      "| |T| |F| |T|F| |\n",
      "toad_rl makes move 2\n",
      "| | |T|F| |T|F| |\n",
      "logan makes move 1\n",
      "| |F|T| | |T|F| |\n",
      "toad_rl makes move 1\n",
      "| |F|T| | | |F|T|\n",
      "logan makes move 2\n",
      "| |F|T| | |F| |T|\n",
      "toad_rl makes move 2\n",
      "| |F| |T| |F| |T|\n",
      "logan makes move 2\n",
      "| |F| |T|F| | |T|\n",
      "toad_rl makes move 2\n",
      "| |F| | |F|T| |T|\n",
      "logan makes move 1\n",
      "|F| | | |F|T| |T|\n",
      "toad_rl makes move 2\n",
      "|F| | | |F| |T|T|\n",
      "logan makes move 2\n",
      "|F| | |F| | |T|T|\n",
      "logan playing as Frogs wins in 18 moves!\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "False"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "me = HumanInput(G, FROG, 'logan')\n",
    "run_game_loop(G, toad_self_play, me)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "For some reason the agents playing against each other became worse than random."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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