diff --git a/.gitignore b/.gitignore new file mode 100644 index 0000000..ba0430d --- /dev/null +++ b/.gitignore @@ -0,0 +1 @@ +__pycache__/ \ No newline at end of file diff --git a/__pycache__/nim_env.cpython-38.pyc b/__pycache__/nim_env.cpython-38.pyc index befe971..8e6046e 100644 Binary files a/__pycache__/nim_env.cpython-38.pyc and b/__pycache__/nim_env.cpython-38.pyc differ diff --git a/__pycache__/utils.cpython-38.pyc b/__pycache__/utils.cpython-38.pyc index 258b767..eed79d5 100644 Binary files a/__pycache__/utils.cpython-38.pyc and b/__pycache__/utils.cpython-38.pyc differ diff --git a/epsilon_experiments.ipynb b/epsilon_experiments.ipynb new file mode 100644 index 0000000..cba11e5 --- /dev/null +++ b/epsilon_experiments.ipynb @@ -0,0 +1,494 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "from nim_env import NimEnv\n", + "from utils import compute_nim_sum, optimal_policy, random_policy, evaluate_fixed_opt, evaluate_fixed_random, evaluate, view_Q_table\n", + "import random\n", + "import matplotlib.pyplot as plt\n", + "import numpy as np\n", + "# from agent import RLAgent\n", + "from sarsa import RLAgent\n", + "from sarsa_lambda import SARSA_LAMBDA\n", + "from montecarlo import MonteCarlo\n", + "from tqdm import tqdm\n", + "import pandas as pd\n", + "pd.options.display.float_format = '{:,.3f}'.format\n", + "\n", + "# plt figure setup\n", + "from matplotlib import rc\n", + "\n", + "plt.rc('axes', labelsize=14) # fontsize of the x and y labels\n", + "plt.rc('axes', titlesize=14)\n", + "plt.rc('xtick', labelsize=13) # fontsize of the tick labels\n", + "plt.rc('ytick', labelsize=13)\n", + "plt.rc('legend', fontsize=14) # legend fontsize\n", + "plt.rc('figure', titlesize=14) # fontsize of the figure title\n", + "plt.rc('lines', markersize=7)\n", + "plt.rc('lines', linewidth=3)" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "heaps = [7,7,7]\n", + "env = NimEnv(heaps)\n", + "\n", + "\n", + "def run_experiment_against_fixed(env, num_episodes, which=\"optimal\", alpha=0.2, gamma=0.9, opt_noise=None):\n", + " player0_rewards = {\"vs_opt_greedy\": [],\n", + " \"vs_random\": [], \n", + " \"vs_opt_12\": []}\n", + " agent0 = RLAgent(ini_q=0.0, epsilon=0.1, alpha=alpha, gamma=gamma) # RL agent for player 0\n", + " # agent1 = RLAgent() # RL agent for player 1\n", + "\n", + " # Defining the fixed policy to play against\n", + " if which == \"optimal\":\n", + " if opt_noise is not None:\n", + " fixed_policy = lambda heaps: optimal_policy(heaps, randomness=opt_noise)\n", + " else:\n", + " fixed_policy = lambda heaps: optimal_policy(heaps, randomness=0.2)\n", + " elif which == \"random\":\n", + " fixed_policy = lambda heaps: random_policy(heaps)\n", + "\n", + " for episode in tqdm(range(1, num_episodes+1)):\n", + " heaps = env.reset() \n", + " env = NimEnv(heaps)\n", + " \n", + " winner = None\n", + " done = False\n", + "\n", + " action = None\n", + " reward = None\n", + " old_0 = (None, None) # old state/action for player0\n", + " old_reward = None\n", + " i = 0\n", + " while not done:\n", + " \n", + " action = agent0.decide(heaps)\n", + " next_heaps, winner, reward, done, _ = env.step(action)\n", + " if i > 0:\n", + " agent0.learn(old_0[0], old_0[1], old_reward, heaps, action)\n", + " if done:\n", + " agent0.learn(heaps, action, reward[0])\n", + " break\n", + " \n", + " adv_action = fixed_policy(next_heaps)\n", + " nextnext_heaps, winner, adv_reward, done, _ = env.step(adv_action)\n", + " if done:\n", + " agent0.learn(heaps, action, adv_reward[0])\n", + " break\n", + " \n", + " old_0 = heaps[:], action[:]\n", + " old_reward = adv_reward[0]\n", + " heaps = nextnext_heaps[:]\n", + " i += 1\n", + "\n", + " r0 = evaluate_fixed_opt(agent0, 10, randomness=0.0, alwaysfirst=False)\n", + " player0_rewards[\"vs_opt_greedy\"].append(r0)\n", + "\n", + " #r1 = evaluate_fixed_opt(agent0, 10, randomness=0.2, alwaysfirst=False)\n", + " #player0_rewards[\"vs_opt_02\"].append(r1) \n", + "\n", + " r2 = evaluate_fixed_random(agent0, 10)\n", + " player0_rewards[\"vs_random\"].append(r2)\n", + " \n", + " return player0_rewards, agent0" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": {}, + "outputs": [], + "source": [ + "heaps = [7,7,7]\n", + "env = NimEnv(heaps)\n", + "sigm = lambda x: 1/(1 + np.exp(-x))\n", + "\n", + "def run_experiment_varepsilon(env, num_episodes, which=\"optimal\", alpha=0.2, gamma=0.9, linear=True, ini_opt_noise=0.5):\n", + " player0_rewards = {\"vs_opt_greedy\": [],\n", + " \"vs_random\": [], \n", + " \"vs_opt_12\": []}\n", + " agent0 = RLAgent(ini_q=0.0, epsilon=0.1, alpha=alpha, gamma=gamma) # RL agent for player 0\n", + " # agent1 = RLAgent() # RL agent for player 1\n", + "\n", + " for episode in tqdm(range(1, num_episodes+1)):\n", + " heaps = env.reset() \n", + " env = NimEnv(heaps)\n", + " \n", + " if linear:\n", + " opt_noise = ini_opt_noise*(1-episode/num_episodes)\n", + " else:\n", + " x = 20*(episode/num_episodes - 0.5)\n", + " opt_noise = 1-sigm(x)\n", + "\n", + " fixed_policy = lambda heaps: optimal_policy(heaps, randomness=opt_noise)\n", + " winner = None\n", + " done = False\n", + "\n", + " action = None\n", + " reward = None\n", + " old_0 = (None, None) # old state/action for player0\n", + " old_reward = None\n", + " i = 0\n", + " while not done:\n", + " \n", + " action = agent0.decide(heaps)\n", + " next_heaps, winner, reward, done, _ = env.step(action)\n", + " if i > 0:\n", + " agent0.learn(old_0[0], old_0[1], old_reward, heaps, action)\n", + " if done:\n", + " agent0.learn(heaps, action, reward[0])\n", + " break\n", + " \n", + " adv_action = fixed_policy(next_heaps)\n", + " nextnext_heaps, winner, adv_reward, done, _ = env.step(adv_action)\n", + " if done:\n", + " agent0.learn(heaps, action, adv_reward[0])\n", + " break\n", + " \n", + " old_0 = heaps[:], action[:]\n", + " old_reward = adv_reward[0]\n", + " heaps = nextnext_heaps[:]\n", + " i += 1\n", + "\n", + " r0 = evaluate_fixed_opt(agent0, 10, randomness=0.0, alwaysfirst=False)\n", + " player0_rewards[\"vs_opt_greedy\"].append(r0)\n", + "\n", + " #r1 = evaluate_fixed_opt(agent0, 10, randomness=0.2, alwaysfirst=False)\n", + " #player0_rewards[\"vs_opt_02\"].append(r1) \n", + "\n", + " r2 = evaluate_fixed_random(agent0, 10)\n", + " player0_rewards[\"vs_random\"].append(r2)\n", + " \n", + " return player0_rewards, agent0" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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" + ], + "text/plain": [ + " 0 1 2 3 4 5 6 7 8 9 \\\n", + "n_wins 0.000 1.000 2.000 3.000 4.000 5.000 6.000 7.000 8.000 9.000 \n", + "av_reward -1.000 -0.800 -0.600 -0.400 -0.200 0.000 0.200 0.400 0.600 0.800 \n", + "\n", + " 10 \n", + "n_wins 10.000 \n", + "av_reward 1.000 " + ] + }, + "execution_count": 19, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "#average reward over n plays (k wins)\n", + "n = 10\n", + "k = np.linspace(0,10,11).astype(int)\n", + "r = 2*k/n -1\n", + "res = {'n_wins': k, 'av_reward': r}\n", + "df = pd.DataFrame.from_dict(res)\n", + "df.T\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Experimenting different $\\varepsilon$ values" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "100%|██████████| 10000/10000 [02:34<00:00, 64.87it/s]\n", + "100%|██████████| 10000/10000 [02:44<00:00, 60.75it/s]\n", + "100%|██████████| 10000/10000 [02:22<00:00, 70.00it/s]\n", + "100%|██████████| 10000/10000 [02:03<00:00, 80.96it/s]\n", + "100%|██████████| 10000/10000 [02:28<00:00, 67.52it/s]\n" + ] + } + ], + "source": [ + "num_episodes = 10_000\n", + "epsilon = [0.4, 0.2, 0.05, 0.0, 'varying']\n", + "rewards = [None, None, None, None, None]\n", + "for i, e in enumerate(epsilon[:-1]):\n", + " rewards[i], _ = run_experiment_against_fixed(env, num_episodes, which='optimal', alpha=0.2, gamma=0.99, opt_noise=e)\n", + "rewards[4], _ = run_experiment_varepsilon(env, num_episodes, which='optimal', alpha=0.2, gamma=0.99, linear=False, ini_opt_noise=0.6)" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "N = 100\n", + "fig = plt.figure(figsize=(25,6))\n", + "plt.subplot(121)\n", + "for i, e in enumerate(epsilon):\n", + " rnd = rewards[i][\"vs_random\"]\n", + " rnd_conv = np.convolve(rnd, np.ones(N)/N, mode='valid')\n", + " plt.plot(range(1, len(rnd_conv)+1), rnd_conv, label=f'$\\epsilon$ = {e}, vs random')\n", + " plt.xlabel('episode')\n", + " plt.ylabel('reward')\n", + " plt.legend()\n", + " plt.grid(True,'major',linestyle='-',linewidth=0.5) \n", + "\n", + "plt.subplot(122)\n", + "for i, e in enumerate(epsilon):\n", + " opt = rewards[i][\"vs_opt_greedy\"]\n", + " opt_conv = np.convolve(opt, np.ones(N)/N, mode='valid')\n", + " plt.plot(range(1, len(opt_conv)+1), opt_conv, label=f'$\\epsilon$ = {e}, vs optimal') \n", + " plt.xlabel('episode')\n", + " plt.ylabel('reward')\n", + " plt.legend()\n", + " plt.grid(True,'major',linestyle='-',linewidth=0.5) \n", + "\n", + "plt.suptitle(r'Effect of $\\epsilon$ when training SARSA against against $\\epsilon$-greedy optimal policy')\n", + "# plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Varying the $\\varepsilon$ values: linear and softmax" + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "#average reward over n plays (k wins)\n", + "N_ep = 10_000\n", + "episode = np.linspace(1,N_ep,N_ep)\n", + "sigm = lambda x: 1/(1 + np.exp(-x))\n", + "\n", + "epsilon_lin = 1.0*(1-episode/N_ep)\n", + "x = 20*(episode/N_ep - 0.5)\n", + "epsilon_soft = 1- sigm(x)\n", + "\n", + "fig = plt.figure(figsize=(8,6))\n", + "\n", + "plt.plot(episode/N_ep, epsilon_lin, '-',color='b', label='linear')\n", + "plt.plot(episode/N_ep, epsilon_soft, '-',color='r', label='softmax')\n", + "plt.xlabel('episode/n_episodes')\n", + "plt.ylabel(r'$\\epsilon$')\n", + "plt.legend()\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "100%|██████████| 10000/10000 [01:17<00:00, 129.07it/s]\n", + "100%|██████████| 10000/10000 [01:12<00:00, 137.45it/s]\n", + "100%|██████████| 10000/10000 [01:08<00:00, 147.04it/s]\n" + ] + } + ], + "source": [ + "num_episodes = 10_000\n", + "rewards = [None, None, None]\n", + "\n", + "rewards[0], _ = run_experiment_against_fixed(env, num_episodes, which='optimal', alpha=0.2, gamma=0.99, opt_noise=0.2)\n", + "rewards[1], _ = run_experiment_varepsilon(env, num_episodes, which='optimal', alpha=0.2, gamma=0.99, linear=True, ini_opt_noise=0.6)\n", + "rewards[2], _ = run_experiment_varepsilon(env, num_episodes, which='optimal', alpha=0.2, gamma=0.99, linear=False)" + ] + }, + { + "cell_type": "code", + "execution_count": 40, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "N = 100\n", + "fig = plt.figure(figsize=(25,6))\n", + "plt.subplot(121)\n", + "e = [0.2, 'linear', 'softmax']\n", + "\n", + "for i in range(3):\n", + " rnd = rewards[i][\"vs_random\"]\n", + " rnd_conv = np.convolve(rnd, np.ones(N)/N, mode='valid')\n", + " plt.plot(range(1, len(rnd_conv)+1), rnd_conv, label=f'$\\epsilon$ = {e[i]}, vs random')\n", + " plt.xlabel('episode')\n", + " plt.ylabel('reward')\n", + " plt.legend()\n", + " plt.grid(True,'major',linestyle='-',linewidth=0.5) \n", + "\n", + "plt.subplot(122)\n", + "for i in range(3):\n", + " opt = rewards[i][\"vs_opt_greedy\"]\n", + " opt_conv = np.convolve(opt, np.ones(N)/N, mode='valid')\n", + " plt.plot(range(1, len(opt_conv)+1), opt_conv, label=f'$\\epsilon$ = {e[i]}, vs optimal') \n", + " plt.xlabel('episode')\n", + " plt.ylabel('reward')\n", + " plt.legend()\n", + " plt.grid(True,'major',linestyle='-',linewidth=0.5) \n", + "\n", + "plt.suptitle(r'Effect of $\\epsilon$ when training SARSA against against $\\epsilon$-greedy optimal policy')\n", + "# plt.tight_layout()\n", + "plt.show()" + ] + } + ], + "metadata": { + "interpreter": { + "hash": "4369559244255f10d34bca352df9b3f8794934e60b17f3451fa3b0f2f96527a8" + }, + "kernelspec": { + "display_name": "Python 3.8.8 64-bit ('base': conda)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.8.8" + }, + "orig_nbformat": 4 + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/epsilon_optimal.ipynb b/epsilon_optimal.ipynb new file mode 100644 index 0000000..44aa6c6 --- /dev/null +++ b/epsilon_optimal.ipynb @@ -0,0 +1,807 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "from nim_env import NimEnv\n", + "from utils import compute_nim_sum, optimal_policy, random_policy, evaluate_fixed_opt, evaluate_fixed_random, evaluate, view_Q_table\n", + "import random\n", + "import matplotlib.pyplot as plt\n", + "import numpy as np\n", + "# from agent import RLAgent\n", + "from sarsa import RLAgent\n", + "from sarsa_lambda import SARSA_LAMBDA\n", + "from montecarlo import MonteCarlo\n", + "from tqdm import tqdm\n", + "import pandas as pd\n", + "pd.options.display.float_format = '{:,.3f}'.format\n", + "\n", + "# plt figure setup\n", + "from matplotlib import rc\n", + "\n", + "plt.rc('axes', labelsize=14) # fontsize of the x and y labels\n", + "plt.rc('axes', titlesize=14)\n", + "plt.rc('xtick', labelsize=13) # fontsize of the tick labels\n", + "plt.rc('ytick', labelsize=13)\n", + "plt.rc('legend', fontsize=14) # legend fontsize\n", + "plt.rc('figure', titlesize=14) # fontsize of the figure title\n", + "plt.rc('lines', markersize=7)\n", + "plt.rc('lines', linewidth=3)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "heaps = [7,7,7]\n", + "env = NimEnv(heaps)\n", + "\n", + "\n", + "def run_experiment_against_fixed(env, num_episodes, which=\"optimal\", alpha=0.2, gamma=0.9, opt_noise=None):\n", + " player0_rewards = {\"vs_opt_greedy\": [],\n", + " \"vs_random\": [], \n", + " \"vs_opt_12\": []}\n", + " agent0 = RLAgent(ini_q=0.0, epsilon=0.1, alpha=alpha, gamma=gamma) # RL agent for player 0\n", + " # agent1 = RLAgent() # RL agent for player 1\n", + "\n", + " # Defining the fixed policy to play against\n", + " if which == \"optimal\":\n", + " if opt_noise is not None:\n", + " fixed_policy = lambda heaps: optimal_policy(heaps, randomness=opt_noise)\n", + " else:\n", + " fixed_policy = lambda heaps: optimal_policy(heaps, randomness=0.2)\n", + " elif which == \"random\":\n", + " fixed_policy = lambda heaps: random_policy(heaps)\n", + "\n", + " for episode in tqdm(range(1, num_episodes+1)):\n", + " heaps = env.reset() \n", + " env = NimEnv(heaps)\n", + " \n", + " winner = None\n", + " done = False\n", + "\n", + " action = None\n", + " reward = None\n", + " old_0 = (None, None) # old state/action for player0\n", + " old_reward = None\n", + " i = 0\n", + " while not done:\n", + " \n", + " action = agent0.decide(heaps)\n", + " next_heaps, winner, reward, done, _ = env.step(action)\n", + " if i > 0:\n", + " agent0.learn(old_0[0], old_0[1], old_reward, heaps, action)\n", + " if done:\n", + " agent0.learn(heaps, action, reward[0])\n", + " break\n", + " \n", + " adv_action = fixed_policy(next_heaps)\n", + " nextnext_heaps, winner, adv_reward, done, _ = env.step(adv_action)\n", + " if done:\n", + " agent0.learn(heaps, action, adv_reward[0])\n", + " break\n", + " \n", + " old_0 = heaps[:], action[:]\n", + " old_reward = adv_reward[0]\n", + " heaps = nextnext_heaps[:]\n", + " i += 1\n", + "\n", + " r0 = evaluate_fixed_opt(agent0, 10, randomness=0.0, alwaysfirst=False)\n", + " player0_rewards[\"vs_opt_greedy\"].append(r0)\n", + "\n", + " #r1 = evaluate_fixed_opt(agent0, 10, randomness=0.2, alwaysfirst=False)\n", + " #player0_rewards[\"vs_opt_02\"].append(r1) \n", + "\n", + " r2 = evaluate_fixed_random(agent0, 10)\n", + " player0_rewards[\"vs_random\"].append(r2)\n", + " \n", + " return player0_rewards, agent0" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "#average reward over n plays (k wins)\n", + "n = 10\n", + "k = np.linspace(0,10,11)\n", + "r = 2*k/n -1\n", + "fig = plt.figure(figsize=(10,8))\n", + "plt.plot(k, r, '+-',color='b')\n", + "plt.xlabel('k')\n", + "plt.ylabel('reward')\n", + "plt.title('Average reward over 10 plays (k wins)')\n", + "plt.xticks(np.arange(0,11))\n", + "plt.grid()\n", + "plt.show()\n" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "100%|██████████| 10000/10000 [02:11<00:00, 75.87it/s]\n" + ] + } + ], + "source": [ + "num_episodes = 10_000\n", + "player0_rewards, agent = run_experiment_against_fixed(env, num_episodes, which='optimal', alpha=0.2, gamma=0.99)" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "r0 = player0_rewards[\"vs_opt_1\"]\n", + "r1 = player0_rewards[\"vs_opt_12\"]\n", + "r2 = player0_rewards[\"vs_random\"]\n", + "N=100\n", + "r0_conv = np.convolve(r0, np.ones(N)/N, mode='valid')\n", + "r1_conv = np.convolve(r1, np.ones(N)/N, mode='valid')\n", + "r2_conv = np.convolve(r2, np.ones(N)/N, mode='valid')\n", + "fig = plt.figure(figsize=(12,6))\n", + "plt.plot(range(1, len(r0_conv)+1), r0_conv, color='b', label='vs optimal(0.0)')\n", + "plt.plot(range(1, len(r1_conv)+1), r1_conv, color='r', label='vs optimal(0.2)')\n", + "plt.plot(range(1, len(r2_conv)+1), r2_conv, color='g', label='vs random(0.2)')\n", + "plt.legend()\n", + "plt.xlabel('episode')\n", + "plt.ylabel('reward')\n", + "plt.grid(True,'major',linestyle='-',linewidth=0.5)\n", + "plt.grid(True,'minor',linestyle='--',linewidth=0.25) \n", + "plt.title(r'SARSA trained against $\\epsilon$-greedy optimal policy ($\\epsilon=0.2$)')\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "100%|██████████| 10000/10000 [01:52<00:00, 88.51it/s]\n" + ] + } + ], + "source": [ + "num_episodes = 10_000\n", + "player0_rewards, agent = run_experiment_against_fixed(env, num_episodes, which='optimal', alpha=0.2, gamma=0.99, opt_noise=0.4)" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "r0 = player0_rewards[\"vs_opt_1\"]\n", + "r1 = player0_rewards[\"vs_opt_12\"]\n", + "r2 = player0_rewards[\"vs_random\"]\n", + "N=100\n", + "r0_conv = np.convolve(r0, np.ones(N)/N, mode='valid')\n", + "r1_conv = np.convolve(r1, np.ones(N)/N, mode='valid')\n", + "r2_conv = np.convolve(r2, np.ones(N)/N, mode='valid')\n", + "fig = plt.figure(figsize=(12,6))\n", + "plt.plot(range(1, len(r0_conv)+1), r0_conv, color='b', label='vs optimal(0.0)')\n", + "plt.plot(range(1, len(r1_conv)+1), r1_conv, color='r', label='vs optimal(0.2)')\n", + "plt.plot(range(1, len(r2_conv)+1), r2_conv, color='g', label='vs random(0.2)')\n", + "plt.legend()\n", + "plt.xlabel('episode')\n", + "plt.ylabel('reward')\n", + "plt.grid(True,'major',linestyle='-',linewidth=0.5)\n", + "plt.grid(True,'minor',linestyle='--',linewidth=0.25) \n", + "plt.title(r'SARSA trained against $\\epsilon$-greedy optimal policy ($\\epsilon=0.4$)')\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "100%|██████████| 10000/10000 [01:54<00:00, 87.38it/s]\n" + ] + } + ], + "source": [ + "num_episodes = 10_000\n", + "player0_rewards, agent = run_experiment_against_fixed(env, num_episodes, which='optimal', alpha=0.2, gamma=0.99, opt_noise=0.1)" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "r0 = player0_rewards[\"vs_opt_1\"]\n", + "r1 = player0_rewards[\"vs_opt_12\"]\n", + "r2 = player0_rewards[\"vs_random\"]\n", + "N=100\n", + "r0_conv = np.convolve(r0, np.ones(N)/N, mode='valid')\n", + "r1_conv = np.convolve(r1, np.ones(N)/N, mode='valid')\n", + "r2_conv = np.convolve(r2, np.ones(N)/N, mode='valid')\n", + "fig = plt.figure(figsize=(12,6))\n", + "plt.plot(range(1, len(r0_conv)+1), r0_conv, color='b', label='vs optimal(0.0)')\n", + "plt.plot(range(1, len(r1_conv)+1), r1_conv, color='r', label='vs optimal(0.2)')\n", + "plt.plot(range(1, len(r2_conv)+1), r2_conv, color='g', label='vs random(0.2)')\n", + "plt.legend()\n", + "plt.xlabel('episode')\n", + "plt.ylabel('reward')\n", + "plt.grid(True,'major',linestyle='-',linewidth=0.5)\n", + "plt.grid(True,'minor',linestyle='--',linewidth=0.25) \n", + "plt.title(r'SARSA trained against $\\epsilon$-greedy optimal policy ($\\epsilon=0.1$)')\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "100%|██████████| 10000/10000 [01:57<00:00, 85.08it/s]\n" + ] + } + ], + "source": [ + "num_episodes = 10_000\n", + "player0_rewards, agent = run_experiment_against_fixed(env, num_episodes, which='optimal', alpha=0.2, gamma=0.99, opt_noise=0.05)" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "r0 = player0_rewards[\"vs_opt_1\"]\n", + "r1 = player0_rewards[\"vs_opt_12\"]\n", + "r2 = player0_rewards[\"vs_random\"]\n", + "N=100\n", + "r0_conv = np.convolve(r0, np.ones(N)/N, mode='valid')\n", + "r1_conv = np.convolve(r1, np.ones(N)/N, mode='valid')\n", + "r2_conv = np.convolve(r2, np.ones(N)/N, mode='valid')\n", + "fig = plt.figure(figsize=(12,6))\n", + "plt.plot(range(1, len(r0_conv)+1), r0_conv, color='b', label='vs optimal(0.0)')\n", + "plt.plot(range(1, len(r1_conv)+1), r1_conv, color='r', label='vs optimal(0.2)')\n", + "plt.plot(range(1, len(r2_conv)+1), r2_conv, color='g', label='vs random(0.2)')\n", + "plt.legend()\n", + "plt.xlabel('episode')\n", + "plt.ylabel('reward')\n", + "plt.grid(True,'major',linestyle='-',linewidth=0.5)\n", + "plt.grid(True,'minor',linestyle='--',linewidth=0.25) \n", + "plt.title(r'SARSA trained against $\\epsilon$-greedy optimal policy ($\\epsilon=0.05$)') ### 0.05 !!\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "100%|██████████| 10000/10000 [01:51<00:00, 89.50it/s]\n" + ] + } + ], + "source": [ + "num_episodes = 10_000\n", + "player0_rewards, agent = run_experiment_against_fixed(env, num_episodes, which='optimal', alpha=0.2, gamma=0.99, opt_noise=0.01)" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "r0 = player0_rewards[\"vs_opt_1\"]\n", + "r1 = player0_rewards[\"vs_opt_12\"]\n", + "r2 = player0_rewards[\"vs_random\"]\n", + "N=100\n", + "r0_conv = np.convolve(r0, np.ones(N)/N, mode='valid')\n", + "r1_conv = np.convolve(r1, np.ones(N)/N, mode='valid')\n", + "r2_conv = np.convolve(r2, np.ones(N)/N, mode='valid')\n", + "fig = plt.figure(figsize=(12,6))\n", + "plt.plot(range(1, len(r0_conv)+1), r0_conv, color='b', label='vs optimal(0.0)')\n", + "plt.plot(range(1, len(r1_conv)+1), r1_conv, color='r', label='vs optimal(0.2)')\n", + "plt.plot(range(1, len(r2_conv)+1), r2_conv, color='g', label='vs random(0.2)')\n", + "plt.legend()\n", + "plt.xlabel('episode')\n", + "plt.ylabel('reward')\n", + "plt.grid(True,'major',linestyle='-',linewidth=0.5)\n", + "plt.grid(True,'minor',linestyle='--',linewidth=0.25) \n", + "plt.title(r'SARSA trained against $\\epsilon$-greedy optimal policy ($\\epsilon=0.01$)')\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "100%|██████████| 10000/10000 [01:57<00:00, 85.33it/s]\n" + ] + } + ], + "source": [ + "num_episodes = 10_000\n", + "player0_rewards, agent = run_experiment_against_fixed(env, num_episodes, which='optimal', alpha=0.2, gamma=0.99, opt_noise=0.0)" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "r0 = player0_rewards[\"vs_opt_1\"]\n", + "r1 = player0_rewards[\"vs_opt_12\"]\n", + "r2 = player0_rewards[\"vs_random\"]\n", + "N=100\n", + "r0_conv = np.convolve(r0, np.ones(N)/N, mode='valid')\n", + "r1_conv = np.convolve(r1, np.ones(N)/N, mode='valid')\n", + "r2_conv = np.convolve(r2, np.ones(N)/N, mode='valid')\n", + "fig = plt.figure(figsize=(12,6))\n", + "plt.plot(range(1, len(r0_conv)+1), r0_conv, color='b', label='vs optimal(0.0)')\n", + "plt.plot(range(1, len(r1_conv)+1), r1_conv, color='r', label='vs optimal(0.2)')\n", + "plt.plot(range(1, len(r2_conv)+1), r2_conv, color='g', label='vs random(0.2)')\n", + "plt.legend()\n", + "plt.xlabel('episode')\n", + "plt.ylabel('reward')\n", + "plt.grid(True,'major',linestyle='-',linewidth=0.5)\n", + "plt.grid(True,'minor',linestyle='--',linewidth=0.25) \n", + "plt.title(r'SARSA trained against greedy optimal policy')\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "100%|██████████| 10000/10000 [01:16<00:00, 130.53it/s]\n", + "100%|██████████| 10000/10000 [01:35<00:00, 104.91it/s]\n", + "100%|██████████| 10000/10000 [01:36<00:00, 103.89it/s]\n", + "100%|██████████| 10000/10000 [01:36<00:00, 103.52it/s]\n" + ] + } + ], + "source": [ + "num_episodes = 10_000\n", + "epsilon = [0.4, 0.2, 0.05, 0.0]\n", + "rewards = [None, None, None, None]\n", + "for i, e in enumerate(epsilon):\n", + " rewards[i], _ = run_experiment_against_fixed(env, num_episodes, which='optimal', alpha=0.2, gamma=0.99, opt_noise=e)" + ] + }, + { + "cell_type": "code", + "execution_count": 54, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "c = ['limegreen', 'green', 'deepskyblue', 'blue', 'orange', 'red', 'dimgray', 'black']\n", + "N = 100\n", + "fig = plt.figure(figsize=(20,12))\n", + "for i, e in enumerate(epsilon):\n", + " opt = rewards[i][\"vs_opt_greedy\"]\n", + " rnd = rewards[i][\"vs_random\"]\n", + " opt_conv = np.convolve(opt, np.ones(N)/N, mode='valid')\n", + " rnd_conv = np.convolve(rnd, np.ones(N)/N, mode='valid')\n", + " plt.plot(range(1, len(rnd_conv)+1), rnd_conv, color=c[2*i], label=f'$\\epsilon$ = {e}, vs random')\n", + " plt.plot(range(1, len(opt_conv)+1), opt_conv, color=c[2*i+1], label=f'$\\epsilon$ = {e}, vs optimal')\n", + "plt.legend(ncol=4)\n", + "plt.xlabel('episode')\n", + "plt.ylabel('reward')\n", + "plt.grid(True,'major',linestyle='-',linewidth=0.5)\n", + "plt.grid(True,'minor',linestyle='--',linewidth=0.25) \n", + "plt.title(r'SARSA trained against $\\epsilon$-greedy optimal policy')\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "100%|██████████| 10000/10000 [01:24<00:00, 118.06it/s]\n", + "100%|██████████| 10000/10000 [01:20<00:00, 123.55it/s]\n", + "100%|██████████| 10000/10000 [01:16<00:00, 131.06it/s]\n", + "100%|██████████| 10000/10000 [01:16<00:00, 130.37it/s]\n" + ] + } + ], + "source": [ + "num_episodes = 10_000\n", + "epsilon = [0.4, 0.2, 0.05, 0.0, 'varying']\n", + "rewards = [None, None, None, None, None]\n", + "for i, e in enumerate(epsilon[:-1]):\n", + " rewards[i], _ = run_experiment_against_fixed(env, num_episodes, which='optimal', alpha=0.2, gamma=0.99, opt_noise=e)\n", + "#rewards[4], _ = " + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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QBEEQBEEQBEEQBEEQBOGqRURuQRAEQRAEQRAEQRAEQRAE4apFRG5BEARBEARBEARBEARBEAThqkVEbkEQBEEQBEEQBEEQBEEQBOGqRURuQRAEQRAEQRAEQRAEQRAE4apFRG5BEARBEARBEARBEARBEAThqkVEbkEQBEEQBEEQBEEQBEEQBOGqRURuQRAEQRAEQRAEQRAEQRAE4apFRG5BEARBEARBEARBEARBEAThqkVEbkEQBEEQBEEQBEEQBEEQBOGqRURuQRAEQRAEQRAEQRAEQRAE4apFRG5BEARBEARBEARBEARBEAThqkVEbkEQBEEQBEEQBEEQBEEQBOGqRURuQRAEQRAEQRAEQRAEQRAE4apFRG5BEARBEARBEARBEARBEAThqkVEbkEQBEEQBEEQBEEQBEEQBOGqRURuQRAEQRAEQRAEQRAEQRAE4apFRG5BEARBEARBEARBEARBEAThqkVEbkEQBEEQBEEQBEEQBEEQBOGqRURuQRAEQRAEQRAEQRAEQRAE4apFRG5BEARBEARBEARBEARBEAThqkVEbkEQBEEQBEEQBEEQBEEQBOGqRURuQRAEQRAEQRAEQRAEQRAE4aol6HIP4HJTrFgxrVKlSpdse9nZ2YSEhFyy7QkXHzmn1xZyPq895JxeW8j5vPa4mOd0/fr1pzVNK35ROheuaOQaX7hQ5JxeW8j5vPaQc3ptIefz2uNyXOP/34vclSpVYt26dZdsezt37qRWrVqXbHvCxUfO6bWFnM9rDzmn1xZyPq89LuY5VUodvCgdC1c8co0vXChyTq8t5Hxee8g5vbaQ83ntcTmu8cWuRBAEQRAEQRAEQRAEQRAEQbhqEZFbEARBEARBEARBEARBEARBuGoRkVsQBEEQBEEQBEEQBEEQBEG4ahGRWxAEQRAEQRAEQRAEQRAEQbhqEZFbEARBEARBEARBEARBEARBuGq5YkVupVSgUuo9pVSiUuqcUmqaUqqYm7btlFKaUirN4bXiUo9ZEARBEARBEARBEARBEARBuLRcsSI3MAzoBbQAytnKJnpob9E0rYjDq+VFH6EgCIIgCIIgCIIgCIIgCIJwWQm63APwwGDgTU3T9gMopYYCe5VSlTRNS7isIxMEQRAEQRAEQRAEQRAEQRCuCK7ISG6lVAxQAVifV6Zp2j7gLNDAzWqBSqnDSqkTSqnZSqmGl2CogiAIgiAIgiAIgiAIgiAIwmXkSo3kjrb9TXUqT3Goc2Qn0AjYBhQBXgT+UUrV1zTtmHNjpdRg9EhxypYty86dOwtn1D5w+vTpS7o94eIj5/TaQs7ntYec02sLOZ/XHnJOBUEQBEEQBEG4UK5Ukfuc7W+MU3ksejS3AU3TTgAnbIspwEtKqTuB7sA3Ju2/BL4EaNq0qVarVq1CGbQv7Ny5k0u5PeHiI+f02kLO57WHnNNrCzmflx+rVUMpUEoVSn9yTgVBEARB+H9F07RCu6b6f0SOn+DIFSlya5qWopQ6BDQBNgIopaqgR3Fv9rEbKyCfdEEQBEEQhELgYFI6bd9bnL9cMT6Cg0kZxEeGsOKlDoQGBV6+wQmCIAiCIFwEzueeZ/HhxdSLr0f56PKF1q/FauHxhY+z+8xuRrcZTYvSLQqt7/8X5iXMY+SqkbQs05J32rwjYrdwZXpy2/gSeFEpVVkpFQ28A8w3SzqplOqglKqmlApQShVRSo0ASgLzL+mIBUEQBEEQriEsVo1le07z0vQtBoEb4GBSBgBJ6dnUfGUePcb9exlGKAiCIAiCcPF4Z807DF06lB4zepCRk1Fo/f6x7w+WH1tO4vlEHvzrwULr90rlhSUvUP+H+jT9qWmh9pmalcrcA3P579R/hdavMyfST3A87fhF6z+PM5lnGPLPEJ5c+CTJmckXfXsXyt4ze0nLTrvcwzBwJYvcY4A/gbXAUSAQuBdAKdVPKeV4JBsCC9FtTvYD1wOdNU07fElHLAiCIAjCFYXVqnE05TxpWbkApGXlkpKRjaZpnEnP9quv75YfoNKw2VQaNpsTqZkXY7iXjO3HzubvyxOTN6BpGqBP+TyXmQPAgdPpVH15Dvd+s5qf1xzy3udxvc/sXOtFHbsgCIIgCMKlYtqeafnvW0xuQY4lp1D63Zn8/5OP5FTGKeYlzAMgy5JF/R/qk2vNLdRtHE3cV6j95bHt9DY6/9aZrtO6XlQhHeCXXb+w6PAiFh9ZzMTtEy/qti6USTsmcdsft9F9evdCffhzoVyRdiUAmqZZgOdtL+e6ScAkh+UPgQ8v3egEQRAE4epmX2IaaZm5NCgXc1VO7fvgr13sP51O3xYVaFm1mGmbM+nZNH7rb4/93N20HO/e2dDr9lbuS+KNP7fnL18/eiHNKhVl4qAWhAVfHJsOTdNo/NbfpGTk8GnfJmw6ksKXS/ez7pVOFCsSami7++Q5lu05TWxEMGcycuhZvzSlYsJc+vxj0zFenbmV1PP2G7RZm48za/NxysaGczTl/AWPu8Yrc/ll8PVcXyX+gvsSBEEQBEG4HJw+f5rZ+2e7lI9YOYJRrUddcP/zE/5/jAe2nd7mUvbT9p8YUG9AwfpL2sbAeQPzl3svsVBl9Gscu30jZd6+8HPjSO/ZvQHQ0Bi+bDhzbp9TqP07MmHjhPz3X2/5mqeaPHXRtnWhjFkzBoCUrBSm7JrCwHoDvaxxabhiRW5BEARBuJxomoamQUDAlSkAZ+ZYqPWqHhHRpnoxJg7y3cev0jDjBfvWN7pSJPTquSSYuDKB8f/sBXSBtkXlOCY92ILAAGUQ7L0J3ABT1x3h+irx3N6knNs22blW+ny1yqV8bcIZar06j/1v9/D7c5KWlcuczceZsu4w6w+eAeDhG6vwQteaKKUIDFCMmbuTlAxdjH588ob8dZuOXMCeUd35YUUC3y47wDGTqPK3Zm1nXO9G9GpUNr/sy6X7eHuO+6ghXwXu9a90IiEpgylrD1GtRBHTPnt/qR+vhDE9fepTEARBEAThSkHTNNpPbW9a98e+PwpF5E7KTHJbt/TIUh5f+Dgdynfgo/YfXZUBKXlomsaQRUNcyt9f/36BRO70nHQG/zWY87n269bbV+gzElOnTyduQH/CatQo8HgdyZvpmMfhc5fWLMJitRAYcOXnvDmbffZyDyGfq+eOVhAEQbjiOZycwft/7aJaiSI80aH65R6O31itGsfPZnI+20KnD5ZQMT6CiQ+0oEJ8xOUemgt3fLYi//2/e07z4A9r+bp/M6/rHTnjOp2s3uvz6d2sPE91qk7pmPBCHWdByM618uPKBH7feIx6ZWMY2KoSNUpGsXp/Eh8sOM7qI8Z9WH0gmWrD5wKw5IV2JJ7L4s7PV/q8vWenbiIpLZtu9UpRPs71XNd4Za7H9au8PIfVL3ekZLRr5LQj24+dJTk9m8YVYqn3umv0zhdL9/PF0v0+jbn6cM9jAnjql400Kh9LxfhIvliyj9FzL3xa7KDWlYkvEkp8kVCuq1gUgME3VuV46nluGP2PS/u/tp2gVbViLNp1itIxYZQrGuH1OAnXNkqpQHRbwgFAGPAX8LCmaafdtO8GvA9UAfYBz2qa9telGa0gCILw/8jqE6vd1jUteeGe0sOXDXcp0zQtX8x+fOHjAPxz+B+WHllK2/JtL3iblwtPxzIjJ4OIYP/uszae2mgUVZ2E6AO39KLixB+JaOb9vsgbDX5scMF9+IrFanEpO5N1hmLh5jNWryQC1ZUjxIvILQiCUMjsOXmOiasO8lTH6sQ7WQpcauZuOc6O42e5u1l5Pl20j34tKlCvbAxWq8aCHSeZuu4wj7evRuMKRS9oO5qmMWn1IV6ZuTW/7K/tJ/njidYXuguXDE3T6Pf1albut0dVHEzK4ImfN1xR+5GZY2H4jK1sO2Z8Yr5gxykW7jhJx9olPa7/2/ojpuW/rD3ML2sP8+E9Dbmtsfuo5kvBqNnb+WHlQQC2HE31yQ86D+fkiD5vc84ORs3ZwYOtK/PKTXXyyyu/5DpN1YwWby/kr2dupEbJKNP6IT//xx+bjhVobBeCt+PxWb8mPDppg8c2e0Z150xGNqfOZlG3TLRpm9Ix4fz4QHPu/3aNoXzwxPWG5ac7VefpToUTXSNctQwDegEtgCTgW2Ai0N25oVKqCjAdGAxMBe4CZiil6poloxcEQRCEwuChvx5yW1c1tuoF9//Hvj9cyrIsWQQFBBEUYJTpPt34qW8id9opWD4OyjSG+nde8BgLizXH17it6/RbJ/689U/iw323uNufagwICTax9j543/3U3rnD5z7NSMxINC1Pz0knMjgyfznXmutyznzCkgsBgWB7sJGSleLSpP3U9tSKq8UvPX8xRHRrubmooALKuSe2wn8Tod4dUL65sS7rHCx9DzZPhRaPwA2PQ2AwmqbxyIJHWHFsBV0rdWVgXaM1yZUUbS4ityAIQiFxOi2LpiMX5C//uPIgB0b38Gl6mcWqMW3DEbJyrbSqGs9v64/QsXYJrqsYV6CxnM+2UPu1efnLedYOP685xJTB17P5SCqj5ug//At2nMpvFxUWxH+vdiYoUM9LrGkavT5dzuYjqQBser0LMeHBLtu795vVLN9rnHK3+UgqqRk5xEQY20/fcISjZ87Tu3kFikf59xBg0a5TDPxuLQDPdq7BkI6FEy2uaRq9v1zF6gOuWaw3H0kl9XyO6X6bkZGdy52freRsZg5f929KrVKuomBaVi5FQoP4dd1hXvhtM6ALiVm5Vo+2IVarlm9RYsagH9Yx+vb69GlewVB+LjOHB39YZ7p/zjwzZdMFi9yHkjIoFRNGSJDv+a33nDxH5w+XXtB23REdFsR3A5ux8XAqtzcuS3BQAFPWHuatWdtd2n697ACPtKtKgFL0HP+vc3AIMx5rSaPysbw5azvfLU8w1HX5cCl3XVeO9+5y9fi+HAK3J57vUoOH21YlODCAXwZfz4q9p+lStxSBAYpbPllGjkXf8V6NyhAcGECJqDBKRHmOwL6xRnF2vtXN42f05NmrO2GnUCgMBt7UNG0/gFJqKLBXKVXJRLjuD6zXNO0n2/IkpdQjtvI3LtWABUEQBCGPC02yl5KZYlrebFIzokOiGdNmjKF8R/IOHlnwCJ91/Mz9fWVuNox1uC8qXhNK1b+gcRYWjok7nTmXfY4P13/IyNYjfe7v3bXv5r+PSdf4arxrBDRcoBAMbE9yvU8AmLZ7GvfXvR+w28oAzLhlBtWKVvOt833/wMTb9PfP7oTo0vSb08+06c7knQxfMoyXszoRGB3FoQcGARD/0IOUeO45P/bIxuet9L+rP4fhJyHYdn2vaTDa4R5wwesQXhSu68+s/bNYcUyfRTw/Yb6Ln7xZFPrlQjl7zPy/0bRpU23dunWXbHs7d+6kVq1al2x7wsVHzum1xYWczxvfXcShZONFz22Ny/LhPY28rjtl7SFenLbFpXzBszdSrYR5ZKgnnD2X/aVh+Vg2HU4xrXuoTWVe6ForX8BMTs+miQfv4zxPXk3TqPySPVFHqegwVr3c0afxrD94xmDP4chn/ZoQHhLInpNprD6QxJEz53ntpjr8dziFzUdSeKB+OC0a1fXY/5Yjqdz8yTK39f1vqMgbvep5HWeuxZpvm5HH9wObUSIqjOJRoRSPCqXTB0vYeyqNivERHEwyv0jeO6o7246d5bXft9KqWjEOJmWQlWsxPJDwRrmi4SSlZdOneQW+XX7AtM3gG6vwpYk9xu6R3V0E6sRzWTw+aQNhIYG0qVaMB9tUdrnQTs3IoeGbdheByQ+2oGU171PsUs/n0PAN/90Hejcrzy9rvXvjuXs4A/79r/RpXoHRt9tvGJbvPU2/r82nYH5533W0qBLP6Dk7+O9QCrtOnnPb700NSjNr83GfxjB7SGt6jjd+VkfeWo9iRUJpW6M46w+e4VjqeYbaHp6YMfepNtQubR6RXRicy8yh/gjz8/lKz9o82KaKoexi/o4qpdZrmnbh84qFQkEpFQOkAI01TdvoUJ4K3Kdp2h9O7WcCCZqmPe1QNg4or2na7Sb9D0YX0Slbtux1CxYscG5y0Th9+jTFil35U4oF35Fzem0h5/Pa42Ke07tW3+WxfkjVIbQp1qZAfW9K2cTIXb6LunncUvoW7i57N6GBrkFCJde9Q9G90/OXz1S7g5NNh5r2k5KTwif7PkHTNB6r8hinsk9RNbIqIQEhfo/JG7nWXPqs7eO13a8tfnV7Ps9bzrPz3E7CAsMICwhj6Fb7fk0dbRLGnUeDBqg3zZ+Ha5rGhpQNBKkgGsQ0MH144Okz8GuLX03b/Nj0R8IDza0fyyx/mejDC7EEFyEwJ81Qt/bOBTyw/gG32+u40crDc62uFZMnkR0ayPh940m3pPN4lccpHlrcbT9YLdSa2jJ/MblmH041fhqA8MSNVFz4sMsq2+5ZQe81vd33CVSMqMjY+mNdyi/m/2jt2rVNr/ElklsQBAHIsVgJDvQ96tSZI2cyXARugBn/HeXlHrU9RixbrZqpwA3Q6YOlLH2hvV+e0Ocyc3xu6w53AjfAV/8eoHKxIvRtUQFN0zwK3KDbY/y56Rhtaxh/cE+czTR4z5nx36Ez3DbBXNzOw8xqoa+D8Lh4pyJ69nESz2VxS8MyjL2roYuAu3SP+XS0PH5YeZBXbqrj8hnZeDiFV2duZcvRVLfrDrBFngMMaFmJvaf0ixp3AjdgEMo3HXHfN5iLngBHzujJWNwJ3ADPdKrBHU3K0fUjYwT1lLWHuO+GSgCmXstLdydSv1wM11eJ53ByBh0/WEJ2ruuFV9+vV7tNPJhrsTJ7y3FKRYdxz5euSR098XSn6tzcsAxVixdh1G312XPqHN0++tel3chb63Hv9RU99vVou6p8tnifT9t1FLgBWlUrxvJhHWg1xtWL2tmmw4yeDUrzad8mAHzSVy+zWjWqvGzM2p4wpicnUjMpViSEoMAA9o7qTo/x/7L7ZBrDe9Q27GPr6vqF5IaDZ1weAMRHhrDulU6Fn7zIatGnW1pyIDCYqLBgtr/ZlTqvGaM8dr7VjbDgK2c6o3BZyHu64vzFluJQ50iUm7amTy41TfsS+BL0QJZLGYQgQQ/XHnJOry3kfF575J3TLEsWyeeTKV2kdKH0m56TDu5tpAEYv288t193u182G6lZqbT+peAWiH8c/4MN5zYw5/Y5rtdyv0w3LBZN30dRN5/3j9Z/xKbUTQA8svERAJqUaMIP3X9wv/HcLDi1A0o3BKXIseSQbc022HaY8dvu37zslU6tWrVM/0dzrDk0mdjEpz5c2LzZ3l/aKZjzPMRWgM5vMXrNGCbvngzA4AaDebLxk4ZVE1ITPHadGZdJoxKNXD4nM1Nn8kZLE2E9cRccXgjgInADRJeJBg+3DqYCN2B54lHufdh+Tzk5cTKfdfrMfUen9xgW43b9TFyfz/WFhf1NV9mb7f0+rVzRcqbfr5fje1dEbkEQrkmS07P5dtkBapSK4paGZdy2Sz2fw3vzd/LTKt3z94tby1OQr+HW7yxyW9ds1AK3Qt/szcd5fLJnP9wb31tkuv6iXaf44K/dVCoWyZ8OVgi3NS7r46gLzsszttC3RQVDZHYeC569kU4f2EXT53/VL6KW7HYVkjt+sIR/nmuXv7z+YDLztp7AqsE3y9yLs/6QZdFIPJcF6JYRf2w6xqPtqvJiN/1MZ+ZYeG/+LsM6Nzcsw7nMHBbvso/5RGqmS1LCWz9d7tdYvl+RUIA9MOfDexpya6OyKKWY/FAL+n7l5WrciWUvtic8JJCapaI4MLqH4Vy++vs27ruhEqfOZpomEwT9fF5fJZ57v1ltKnDnYbVqBATYL8Q1TePA6XRemr7Fq31Kw/KxfNKnMU/+/B/7TqWRlWvlvW6l6dXG7ukcGKCoVSra5Rh8O6ApHWp59icHeLFbLZ7vUpNle0/T/1v3noG/P97KtLxsrH+JOivERTDqtnpk51rpUKuES31AgGLTa1147tdN1CkdxaPt9GmPpWLsViFBgQH89Uxbjw+JxtzRgJG31mP+tpM8PnkDUaFBrHypY+EL3DMehU2T7cvx1eDJ9USEBLFrZDfmbztJlWKR1CsbU7jbFa5W8qY0OH8gYoGzuHLOj7aCIAjC/xl7zuzh9j/0iT1VYqrw+62/X3CfjnYYnvj4v495/YbXfb626jnD/H7QH46kHeHQuUNUjPYcxEG4a76lvOvGb7Z+41K34dQG3l37Lk1KNGFvyl56Ve2lPzTY/RfsmgPrv8tve/KFXXT6rTMAHxVvS8eWL0JsedPtvbHSKPgOTDnLd7E+zibc9w+fbPnabXWFU95dKXKOHiW4bFkY3wSyz+UNjMkn7BPHvtz8pS5y57lcKMXak2tNerNz39z7+K7rdy7l0/dMZ8QNI1w/E2cOeuwv4WyC130xIzD5LI6y7rKj7mcmA/CJh8mNieYJ6pcvGwVFPD/MWH50OVbNSoAqeNBgYSEityAIVy1JaVlcN9I4FXnLiC5EhQUboouH/Pwfb9xSl/4tKxna7j55ji5OHsAPzzzMtNLl/PLCnrf1hNc2i3adon1No6C19WiqV4E7jzxLheE9arNkdyLL9p7Or3OOIp7x31Gf+syjY60SxEWG8KubhITuaD92sUvZg60r+2Wvsj8xnblbjtOlbin+3n6CR37yfjz6tajApNW+JyI047PF+9xG737Wrwnd65fGYtWo6hBRe9xJ5L6c3sLv3FHf4JvdsmoxFj/fjnYm58SMWU+2plxR+74opWhTvRj/7rF/rrzZeHg6ho44RiXvHtmdGq8Y7VwUVh4N/IOjWjGWWBsysfRv1As4wP6246lQ9waCAwOY6SAw79xpfgHWsmox48MgqxUOLIXQKD0BjwcCAxRtaxTn3TsbuNh8DO1Wk8faefbXOzC6B39tP8nDPkRvL36+nUH0NyMmIpiv+3t32PB2UxUUGEDPBqXp2eDCb6pMyUozCtwASXth6zSodwehQYEeHzIK/39ompailDoENAE2Qn5yyWjAzGNnE9DeqawxsPAiDlMQBEG4SsgTuEFPSPjCkhcY3mI4sdkZMP9laP2MHn3sB9P3GKOiH6r/EN0rdzdsC3Sv6UWHF/HMdc9wa7VbvfabmuU6O7NjhY4sPOTfT1p6Trr3RvsXQXYGhOjX+/V/0Gcj1o2vS4AKwKq5BqhM3D6RidsnAnqyy19v/Ihak10tO/IEboCnE5ew5c+jcN8Ml3Y/bv/RpSze4qN3c+pRmHgbR4vHmwqsRc9pjP3Ge19p//5L0d697QI3kLD2cyhvvD61jIghf65h2aa8GeLdInLg/IGm5e2mtuP5ps9zc9Wb7YVn3AdvnQgM5Pklz7utD82+yBbTllz4xdVS5myAolVF14cX7piwcQJPNH6iMEdWIC6/zC4IglBA8hInOnLdyAWs3p/kUv76H9uoNGx2fsRzdq7VReDO447PVtL5gyUu5WPm7qTSsNn0+XIVWbn2H9VHfjIKWxMHNWfVS0av6YHfGZ8Ga5rGTR97edJqwqg5OwwCtzfuu74iTSsWpXGFWNa/0sklcnTuU234ZkAz3rurId+YiGqv9KzNzre68fX9rnUHTrteYL3UozYAH/ngQ57Ho5M28MrMrT4J3PddX5FRt9Xnv1c7M7RbTZ+34Q+d6+jRv4EBik617ZHA0zfYHwIs2Z1Ii7cvj8ay/+0e3NOsgkt5pWKRJIzpyaQHWxAVZv4Me+VLHUgY09M0qvbHB5qbrFG45AncNwZs4vWgH7ghYBsHwu5laPBUxoVMYGPYw9Q/8zcqaS9Vp/cgeOuvBdtQRjK8WRR+uBm+bAcfevBTz0zNj9y4u2l5dr7VjemPteSRtlWZM6SNV4EbdLG5a91SJIzpSc8G7qfKznqytVeBu8C8XRZGxMCnLQqnP0uuLmJ7IsXNw6bf3HsKCgK6nciLSqnKSqlo4B1gvknSSYAfgaZKqT5KqWClVB/gOsDDnGpBEATh/4EsS5ZL2byEeXT8tSN8UBu2zYAvboSc8xe0nSFNhlC9aHXizmq88JuFp2ZaiDyvXzsmZybz6vJXC9z3yfSTfq/zzpp3fGv4dmmYfA+7kuz3zNuStpkK3GbctfRp9gUb7ykWRBhnMEZkanRI3sOKI662gWPXuXo0N8xyPWcAI1aMID9foCUH5g1jeXgY800E7gCrxhefmAvcI+8xSpwnRryBYxb5c0pxc3nXAIy9IQ65e4665uzrX8fcysOM5MxkXl72srFwrrk/ejbQuYLnWdgffuVZzA/O8VEEz3Azg3bTZNjjmkvHH4EbYMZe1wcdlwOJ5BYE4apE0zSmb3CNWM7OtXr0933y5//YcfwsE7xEoO45lcb+xDRiI0JcPKdX7k+i5ivzuKdpeRqWj3VZt01182QPU9Yeyhcnh7nx4M5LkOecpLGgvHFLXYOo9u2AZszafIzvlidw13XlDMnnOtYuyZwhegKVOmWM08g61SlJwpieHqN7HaNoW1RxHwlfp3Q0248bZ5r/vMZ7ZPZDbSrzUnddRC8aGcJj7arxWLtqvPb7Vn5Zc5hnu9SgfNEIn6Pjzfh3aHuCHHy3w0Ps/sG/rD3MmDsaAPCCzYLFkfJx4cRFhpKZbeHr/k1p8657CxuAz+9tQnRYMEUjQ+g+Tr8wbFUtnuV7jQ9p3r+rIQeTM9hyJIUnO1b3KpK2qlaMLSO6AvDFkn2MnruTh2+skv8Awh1KKb4f2MzgIe7Mzre6UevVeR77+X5gM75fkWCwenGkqdrJjyH6xflA5pu2yWfGYDh3DBaMgJvHw3U+XmC+72Q6lHoY1n0LTZ3E12kPwhabkG7LLh4WHEiTCkVpUsF1mqcvfNy7MfO3niDXql9wvtWrLknp2bSpXty9ZYemwfGNEBCkv0qYnKs9C2DbdIivCjc8od8AnNoBZRrB749Dtk2QTtwJ505ClHerFrdkpsIYhwcp1btCh1egdAN7WUYy/NjLfR/fdIV7p0FokYKPQ7hWGQMUBdYCocDfwL0ASql+wBeaphUB0DRtn1LqduB94FtgP3CbG0FcEARBANJXriRl+gzi7ruX8AYNvK9wFWKxWhi43jySNtuaTbpSROaJm3NfhFvGX/A2b11ppdkevc+Ekhq/32C/JrdYLQQG+J93xKJ5FjCfavgY4zZNMJRtOOV0r6NpoALB1pcGZCsI1YDd81iXdbzA4a3Di8fzy7GTZNn6e6ak/T43Jk1j/BcWwrPh/ROP0PKtDRDkPg8VQKOsbNPyaXumUbl6ZWpbqsFben6ZRyq7BvUANN/lXtTdXCUAcBLxs/XArKSAAG4yEbgB+pYuxbqDh+3HzYHQwFCea/ocP+34yev5ciTXmktQgKvkmhQQwKSYKCKtVsI07wJ1MS8GbZ98ZuHhIV6kXasVftP/XzISQzi4sBiRJTOp0D4Z1n/vdQy+8FD9hwqlnwtFRG5BEK54TqdlMWzaZrrUKcXdzcpzMCmdtu8tLnB/3gTuPDq87xrN7ciUdYeZss6Y2G3ja/bpW/ve7mGwu5i+4Sh3Xlee4TO2uKy3YlgHyjh4+yqlXHyS/eXe6yuYCqI3NSjDTQ3Mf+CdxW1ndrzZjdqvuYqca4d3MiyXjAojIiSQjGzXC4E5T7Xx+xxue6MrkaHmP1lv9qrHm73skboda3dj3MI9ZOZYOHU2i9lbjvPDA81pW6O4x+2+d2cDF8/tWqWi+NNBz569+Tj1y8Zw6pwxCmHZi+0N9h8AD7SqnJ/0cfmwDkxadTD/s/fGLXXpVs8e8btrZDcysixEhQXx06qDJKVnc1ODMsQXCaFYEc8Xi554uG1VHm5b1bwyL1mgA+1qluCWhmX4w8HjPY8v7ruOsOBA/h3a3lTA/+DuhtzeRLdQWbkvya3I/Vvom/7txIIR+t8/h8CfQwjpNhlyKkFgMGD7fAc4XbmbRPYw6xn9lUenEXaBG3QRvFFfe1Kadi9DoP+XSQEBij2junPkzHnKZe9Hfd4QGt8HZd/3vI/LP7IvOwr6Vgss+xD+ectev9DLMXy/BoxwmBJ77gTsng/VOkGMD579Y5xuKvbM11+Off7zFqR7mMp5eBWMLguvJhXoOArXLpqmWYDnbS/nuknAJKeyeYDnp2uCIAgCoAvchwbqD/XP/vkn0T16UGrE6wRG++iDfJXw3bbvyNFy3Nb/El2EQak2i4pQ360UNTeiY+7p03TbYK/rut7K7zfYrz+n7ZnG3TXv9th30dCinMk6Yyj7ofsPTN011TTqGeDBmcNoGhrCfWVKue/Ykp0vcOcA/UuXZG9IMKMTk+iYcZ7cM/shvmDBG9tCQ5leJJJR8XE0yTJaNd6+wkq4TbN+boaV5EOVCB/4EeGd7gGgZG4uJ4Ps14CvnXadbe3IuL3j6L/71/z9cMe9i8wj0ae31O8LNldSNEhwOI+ZKQB8HRtNmvM9g43sAMWA0iXYHhLC66eNEc/Lei9DKcU/d/9D2yltPe6DI4sPL6ZTReM98ttxRfk5xvPnsXvx65ib6N0CMY+i6dgedOj7n5GTQUSw8b6U3fNg/2IADi7UHyKknwwjZX84sSVcLTjX9hgFO77wafsPn0nllrR0KvTv7fOYLyZy1yEIwiXhXGYO24+dpUUV1wzUJ89mkpSW7VZgbWrz3V6w4xSr9icx3U/PaW90rVuS+mVjGPvX7gvqJyIkkNiIkPzlwABF+5rFWWQT+1YfSDaI3o6UMUlep5Riy4gufPj3HhLTsgzJJUtFh/Fyz9qs2Hua/afTGdq1Jk0rxbHlSCojZ2+ncYWivHgR7DzCQwJdhO7372pI8SijEBsQoFjyQnu+X3GAUtFh3HFdOcKDA/M9hCvGR7Ltja7Ufd01kjcoQLF7ZHcCApRL0kJfCAsOzE8qCfDkzp3UqlE8f7tv31afl2cYI+mrFo/krqauU7Ieb1/NkJTSLEr88fZVXQRu0L2cm1YqSs1SUZSNDWdot1q80LWmqY9yaFAgoUG64DygVWUf97SA5GbBhBsg2faw564foO6t+dXjejdibUIyx1P1C57rKhblpe61aFohFpL2UT6uCv8Obc+CHSd548/tAEx+qAUtqxbL7+OFrjX5Yun+izL8KvP6GuWumAp6dE6VdvoF3sxHfOsoTzzPY/5L+iuPtJPQ61Pv/eRm6W1j7cKwUorysWHwps1L/L+JsG8RdB+jX2C2eBSKOdigOArcoAv6dW+DX/vDPvPEn1757ydofK9uKfKR7sNITHl4arPrQwFHZj/nvm75eGg1RH+/7ltjXfOHYY3JxfBb8dDtHX0qZFwVqH831Orh374IgiAIguCV3MTEfIE7j7Nz5nB2zhxqrl9HQKTn5HGOpK9azYk33yS8fj1KjxlT+Imr/SQ9J53NiZtpWrIpwYHBjNswzmP7j+KKEmXVuPtcGhSt5PN2Tma42odkHzpEQt9+hjKLU9D2W6veIul8Eo82etRt37nWXJey8KBw+tTqQ2pWKl9t+cpQ1z0tHU2D6odg0qQclFXxer9A9pRzOhfZdgvJydFRbAnT78ueLlmcLQcO8YeXpIHeeL24fv++Ktx4vxrr5Fx5cn0sAZteo+q/XQjKOUlxiyVf5G6VcZ7bznn2Es/RciBBn92a4+7zpmmUcLU2B2Bph+JgSWZCzwA+/1QX/YPii+ZbcSyOcL3fdmRDmJ7k/aUSxQzlYUF6eVxYHIEq0Odo7p92/ETHCh15b917TKxcgQ7pGfwT6XrP6MzwmvdRt2J7xq4bS9f1vlnL1DoCO223spN3TubB+g/ax7H9J35ZM5aBRSK5I814Do6vKUpslW2GMivwgI8Cd5uM8zyRYjshJgFUlwMRuQVBuOgkp2fnW35EhQax5Y2u+XVztxzn0Um6cPhAq8q8dnMdw7q/bzQK2u4E7pmPt+LWT5e7lO9/uwfnMnP5e8dJnjexmACY0O86AgMUwYEBjJ5rntTOF7Y57FceH97TiEZv/m3S2s7mEV3c1kWFBecfkw61ivPMlE3c3qQsH9zdCMAlqVv9cjFMefgGP0fuH+EhgcYEf24oHhXKC11rua2PDA1i18hu1HzFGKD3zh0N8oXti+Ff3LdFBfo0L0//79aydLf+AOJ92/EsCM+3ite9kEEXEIvq2c7DggPpUd/oz3xZbhAcRc5WT8Fyp5uCX/tDkblQsSWgj3HWk62ZsHgfFeIi7Alb8/axSEnK953KwFaNGOhGkA8KDOCL+65jyM//kZVrZesbXSkSGqRbbLzl2j6p0aPEb/ysYPuXeggm3lqwdT3x309QsZUe3e2OrDQY3wjSE6HN89DRwZMxJcHY9uwRmHKv/v7AUnhiLaz5So8cN2OMfz54Lvz+uP5yJPWw7lU+YA5Usifz5NRO+HWAnqDTOZGkI3+/qluplDfxb281BA4sMc/MPu9F/e/xTVCynojcgiAIgnAROPbKK27rTo0bR6mXX3Zb78zJt98me/9+svfvJ/qmmyjSpk1hDLFAaJrGvXPuZW/KXm4sdyMvt/BtP94qFsft59IIWj4emvtmpbDmxBrD8k/Jd7Cvi+s9XskUCMvSyAy1X9tP2DSBO2rcQYmIEi7tATJyMwzLStPIOXmSkBIlGHL2PF3D6nBn5vb8+vtSz5G0vQiJW6LJc4x+8TcLDz4dhLZvMapqO73QwY5jrFPEdg6wOzSEgtLifCarw8NM64JdNXusuQGcmTiR4to3pEfYgypeSD7jm/hY6ybYOYtck1um+plZdJhn3kv1f5cyPGsHjy98nEyH3bWmJuXP5DwSHGy6rj9EhUSRkpXiU9v1J9fz046f8pN5mgncURkakZlwIs6+wzEL36L/4MXULlqLqNEDTPt+584AXvzNLoDf/a+VN/vqAvMOBw/2LEsW76x9BxSMKB7vInIDnEkMRZXMIdaq95fqJhgmKkMjMxhygu1jfTvRITr/v598t5a8iEjiSUEQLioWq0b/b+0XC+eycsnMsT/9zBO4gXxrhzx2nzzHU79s9LqNXSO70ah8LEteaGcof+vWegQEKGIigrnTyX86j5G31iPQJqQ+3LYqf9zrPor2hirxfH7vdQzIE/0c6N2svKmA6RjZbcb3A5sRHebbD+5tjcuRMKZnvsB9RXNsI8wdBmcSPDYLDQrkwOgetKxqj/C/vYkPdgoXiFKKHx9ozq6R3dg7qjuNTLzV81j/Sie3dUUjglFjHSJyxzXQxeAP6+veZ/6QckhfN++15Tf/1jfjfIpd4AZXgTuP77obFuOLhPLqTXV0gduSaxe4QY9a/rItHDLxvs/OgFx93mLXuqXY9HoXDozuoQvcAEdcE7nQ8knibx2j24Pk8bS5Z73fxFcn39KkIMx8NH9qnym/PaAL3AD/joVlH+nH6puu+nt3nN4Nvz/hXuC+2HzfI/88ATChBSTu8Cxw5zHpTlc7k2GHIaYc9PnZ+/oJromJBEEQBEG4cNKXLHVbl/LbNL/6ytptn+F6+KHBBhuPo2lHGb9hPKuPrwZgfsJ8Ptv4GSk2Wwhf0TSNGXtm8PWWr0nLyy1iQsLZBPam7AVg6ZGldJvWzVCvrO59jTuXL4uW6j73j3MSxuAA431ZyBdT3K770HzXa32zRJJp2WmM3zDeEAGsNI2PJoWxt207dtStS+78MdTYYQz8qXo+l8QtxvvXaFsOzcxZQ+yFObp43q5iOZdtT4723arFDHcCN8CRYublpyd8BmcSSHcIVop0OEfKgw+1NVC/d841uX4fdyqRVjuM6waGWqh51zGCihenXJS+/1kOp9CaG4Dz5pSmUfScxsC/LLz1Yy4tt+vnMTRbY/R3uUz4NDc/sagjuUlJDFoVQbPdrue9xXlXyw+Ad9e+63Zfax7W+GachfFfWHhgvkN0+LH/AGgSXMV0vWNx8FGq0TKw3kH7eOPC7Lmx0nOMovbaMFcbzLGqGB0qlGWNrc4siv7pmRa+GWdh0lgLxVLt24p1vN/d8YfpeC81InILgnDROHUuk6ovz2HLUeOcopdnbGHT4RS3nmd5zDLxBXbkjiblODC6R77NQ8X4SMbe1RDQLTTuu76iof3cp9qwZUQXvhvQjM0jupAwpif3OrUJCQrgifbVMOPnwdfTrV4pRtxSl3G9G+WXf9q3CW/dWs90HYCbGpQ2Le9/Q0Xa1TR/0n9Vk5aoi6CrP4NxDXU/YA8opZj80PUkjOlJwpielzTaOTQo0JBo0oz4IqE0q2SPiqilDjEx+G1WhD7Bf9a7zFdKPQTrvvFvMFOdnnxPG6RH+l4IezzPIjAw2k3k8FY3YvsfTxqXZz6uZ3EfWRwSdYuXMAeLGgC2zzSu038WdHpDf3/jCzBwLjy9Vbf+aPWUvV3RAlq4VGoNj7lPRAtAk/s91//YC8Y3gXkv6dYkjuxbaFxe8Lr+9/Aq2PCD537/m+i53l+qddajyX1lZHH4pZ9rtLe/BIVBmO0GLK6K7tv98nH37bu+fWHbEwRBEATBb7SMDLIPHizw+ulL7QL66BUj+W/aF7zz3SDWnljL80ueZ8KmCYz/z7/kjutOruO1Fa8xbsM4bvj5Bjae2mjablvSNtNygM8+yWXKOxamjs7ln7tcLd5OBwXyVUw0FqurxcSkHZNo+GNDHvzLbu0wZs2Y/PdlIs1zGOXRZpvrvaxztDbAuA3jXKxI3tlYm9KHbQKkVeP01igUcMc5XezvlpZOzmHzvDyh2RrpZw+Tr94mHzBtB7hEduexpdVHbLxvI8NbDOfpJk+zpt8axrf37/wFeXHtcPS/jnQQQyecTCTIjQ7QMeM/1oeGkmtyP1jklKsVRtkbzugOGVYrsaGxAFgCjesm74pkqU2s77HGypQxFr74xEL39Ro1j8LTv1tpuM/K4HlWqp7QEz1+95Hrzu1p1ZoW8w7xwjQrXddZ88X6Erm5jHSMaPaRt36yb8PR7z2PxPGu52Pm9YrPboOYOPMEnmBMZno2y5i18uHirtpD6Hld2B5UuiQrwsJYXMPoO173oJWWDg8XJkzQ+38m2egvT9mmbsd0KRGRWxCEi8KxlPM0H7XQtG76hqP0+nS5aVLF3zceZfLqQ+xLTGP8P3s9buP9uxu6CKJ3XqdHO99xneuTbNDtP9rXKuExevr5rjUNCSQB/h3a3rDcq1FZNrzamb2jutOzQWmCPQilz3Vx9cZOGNOTN3q5F8bdomn6lKvPWsPhtf6vf7HRNBjr9JDguyvUmuDsMV1ETvKeiHTioBa80k3fr3mhw2gTuJUyKtnzSnOedxVFzbBa9ejfY65+38x53h7ZvXeB976cmf6g9zZ5ZJ2FDJN9mvGwefvTDh72yQdg40/25U+b4xI2oWmw+nP78nUDoXIbu3dbQIBumRJrE9vbvaQnh+wyCob85/t+OBJZDErUgps+spf1GAtVO0B4HAxaALd8DC8e1P2rb/oQHlvt2k/yPlg1ATY6RToHX5jHoQudRniuf/k4KKfvmhGp+uve34x2Kb6wc5Y+tdCMqNK6/U6T/sbj50yfX1zLQiL0hJN1bjWWP7IcStb1b4yCIAiCIPhEZOvWHusP9h9Q4L5PvDWS7IMHOfX+B8ROX8rQaVZG/Wjh9Z8G5rf5dfevLuvtT93PoPmDGLFihEvU9KcbjblPPvnvE9Ntv/TvS6blwTka8efsy+G7zW0tP46L5fd9vwOgZWeT8d9/aDk5+YL26uOrmXtgLlsSt5Ccab8WPn/CSx6oUFcR+sG/HiQ1yxjg9csu12ulSvO2GpbP7Ink5IZoRpxO5u9DR3k3MQlLjnngT9/FVj1C22ITOj3lU3EiQNNYnXAYfrqdwIBAetfqzaD6gwgPCqd9hfYsunsRVWLMI4idiXBzmxMcmYsGnHe4T49wuC9ofT6ThYeOsjbhMPPT7McwOl2j/qYcnoopgfOu33M4g4S/i7tsK7yY7RjknicqxDxq/dTGGB4vVYKYNI0BC81n2g6fanV5aBGardHoVC4Z69aRtsxoizrobystdurtJ5xIpJTFwuYDh5h2xEOghw98e9w2E2DzVLJ273Gpn9w+kMe1M3iKCTufez7//bnsc4a663e4iul3LdcItOjlD5cuwVuZRg2m3z+ux2z6lEgGnnHoO6YC3HiZZqg6ISK3IAg+cS4zhwHfraHSsNnc+ulyOry/mErDZvOHSbT1f4fO0HJMwZKlPfXLRl6esYWO7y/x2G7BszcWqH9fiY0I4fN7m1C9RBFe6FqT8nGuHlpxkSFeo4ABKheLZHyfxvnLD7f17cLBlG0z9IRvJ7fAN510W5ALISdTj+QcEQNr/Yw8NmOL68Utyftgk/upfj5zeK0ePews7qcchrkvwkabVYLVAqf3GkVWTYPTe3RP6Lzlz9voIvLHTfT93zQFcs7jwsnthH1cnwcXNychzIM/sxne7CiSD7gXkZ356Q7YMcu/7Xuit4m1xLsOEdN54rsn1n6t+0sfXuNa90YsJDskn9zpNPZYJ8sLZ4LDofUz0PIJXK7kBsyGO7x8XsNioIUtCWWT+6Hfb3DfDGg6SP/74gEo30yvD4/Vk0w2fUAXxXtNMO9z1tP630OrYfUX4HQT45YBs42R6c50fw9eT9H394X9UNPmef/AX3DzOAiLhSfW6eLx62fgru+h/l0w1CRyxzlyfdAC/UGBv/T7VfeXv2U8XDfAvE2RUlC1vXldYBDc/YNuZdKwD/SdCqUK8GBPEARBEASf0HJyPNbnnvA8uzK/n2zXKNGcI0fY17UbSV99Rb/FdtFr0HzP4bzPLX6ONSfWMG3PNH7fqwvNedYkgdnGqOfVJ1wDDTzN/I1wGmbqxJ+oH24+g/b1Fa+j5eSws0FDDvbpy/5etxrqhy4dSt85xuv8Lz7xvG/hTRoblkOzNaaOzuVYw+v5e/1UwNUOxRPJu4uQkx5AKYsFBeRmmCfx675e46vYGLLPHtXvbc4eIcuHibDBORoLEo4aBGdnioUXY2avmV77qpydQ6QbkTszQHEkKBDN4fo9f09aPgllGhNntRKmaRTZfIjH/7Rwww4rX4+38OgcK1+Nt7DsWKyhzwFLXM9FQJCVgDyL7gP/Epxtch9n45kZFr762LeEkXk88LeVl7+Bg/fex+EHXQOHnp1p5b7Us9S0/d8poIaX/0FP/LrvBM0y9YNqmTKYiOJGq5Efhzdl/I1jaZ+h72fRGkaLnzzbnln7Z/Hnvj95c+Wbhs+0smo8Ocv88/jaZPNjE2DVKHfedZ3c/amc2WfTR+reDg8vgcAL9zwvDCTxpCAIbtE0jQ2HzhAUEMCcrcdZvEv3nt14OCW/zZCf/yMyJJC2NYoTFBjAqv1J9P7Siz1AAXikbVU+X6JH3H50TyOqlbgwfzFf6FavNN3qmV8o+cstDcvQplox0rJyTQVzn1nlJL592VaP4vSXYxv1dR2Z/awualVz70HtlSNuostnDIbSDXUBsSBYrTD1fjh3DDb8CE9ugPiquqD9WSu72DjzEfs6wREw/DhYc3XBNY/qXaHDK5Bx2nWMfzwBLyZAiEOE7mcXkMhzw4/Q+S1dRHVm+Xg9kZ8/TLFldq/aURdt3SQGAVz90J/cAJ+31n37ostBjW76vr5Tydjuv0nQuB/MG+ba562f6T7VeXiLHBnfWL/wufNbe9LFPG7w0yZjyH+weAxHoxpStpJDpNK0Qfb3EcXgmW1w7jhExNttNAICobpxdoZHGveD3x8zr/u5L+ya7d/YK7bSrVM6jtATPzpStQO0GGxfjoyHPg4R4xVauIrMdW/TX2aUqA0NesO26dDhVV3IL99Mf1iQvF//3K3/zvN4X0mEIId8Au7CRTq4T3CVT1g03Pa593aCIAiCIPjGrnmQchAa9YPQIvnFmdvsth5lxo7l2PMFi6zMPX3aeyMbdQ4bl/898i9VY6sy58Ac2pZrm++lDfDVlq9Iykxi/IbxtCvRhM1J2zxfywKJ5xMNy0XPady4VWNzZcU73xmFubOzZ/NB72fovP1j074ODbILldn793PrigBmtix43Of5laugnV1Se+UX+3jK9Xud1E1duWfWPS7rDag7APjatM+0E2EUraqL/5kpnkXDm2b05K/DesDZ1zGeA1PqHrTy+mQrpylFTM+ThES5F3yVUnQo34F/DrsPWuuYkUHL1CAsuEazB54LpEd5NzmWqrSD45sB/Rbt6JJ42qLRdqtReG/wTyi00N+XP6Vx7nC4a1fdHT4bP+vHuU/levzMWZe2N+z0bJNqRvvN3tcZmpziUlYvK4utJlH+jhRPce07fnsI1Mvm9PYiJG6JAs3+vxM3cCCj7xtqyNlUsvFZzuy2//932qjxdxP9mv3lZcbkrGFZGu9/7f6c1z5iPsZPP7PgLjb65PpY4qpn6DNxI+JM21wOROQWhGucs5k5FAkJIiDAh8e7DmiaxssztvDzmsNe2w76QU8m17paMZbtdb0oeqVnbW5tXJamIwtgt2BjWPdaDOvuJJBaLXqyvrgC+vVeYopGhlA0suDZrQFzETk73SjK+oKzwJ3HT3cUTDTPY82X7usWj9YjOx1J2gcrPtatIsqZ+Hht+kWPdK7RXRe48/i4CTy6Aj5r6X57ORkwIgYXWX3PfP1lhiUb/v1AF++UglM73ffvzMNLoXgtGOnkdbZgBNz8kWt7dwJ3vTvd+2DnsW8hzH8ZOr0Om6fCn7bkM62fhTKNoHQjmDPUuE58VXhspX5jVLObflMRbuLT9/tj0LA3rPnCta5RX6PI7Qvbpuv/p45c/xgEeb74cyGuCtz+Jed2OpyTendAQJB+rmrfYhdjC+M7oU4v2P67a7kngbt0I3hgvh61nie+3/OTfVwBAbo1yvu1IPe8/rnua2L3caHc/oVuwxLk9H0TV0X/LGam6ufFmW5joHoX1/VATwbqmMQUdIFeEARBEAS/OJ52nKcWPUVwYDCfdviU2LBY31fe/Rf8fA//hYbwyu5vqV7uBt5v+z6BAYFY0+yRnWF1alPxp4kcvPc+v8d3ftMmv9fJ47GF9iCBcRuMCc/PZJ7JL2s1bg2PJmiAHiX66r2B7CqvsGpWAhys2TJz9YR+Rc9pVDqp0WOtRsMEjX6LzbdfKv0MqxMO06KSMddM7UMaGWuMMw/7LrFekMgN0HazlfKnNW7YoVHcSVtt/Yu5fcyAugM45UbkdsTqxq4E9OSJx4Psct7nRT2L3K9Ptkfj7ptdktq9j+kzW90EMlQvWt2jyH1f6jlSs+NwJ5uWTtI4Hq/3HZSrcWhxHDkZgZRtfZKwA/qM7Rw3kep5DP/Zwqg+gbz/jflWgiNdy287uoufyxZOkJovnDsSRkSJLAJD7KK1N4EbYPCR6oDxPvP01mhOb402bR9azWYHmmpXo51P3cC/rdQ7qFH5hMZnPQPZUcHeoOda18+nN3SB2wcCL1DfKGTErkQQrmHmbjlO4zf/psrLc9hyxHfhUtM0Kr80xyeB2xEzgRvgwTZVKFYklCEdq+eXtatp99SqWTKKivHuo5uf6VTDtTA7Hd6Mg/GN4As3gu21hknCFADSfY+2AGC6j/YYhc32mXpEtiMfN9GjSr/uCB/Wg4m36xYZR9bp0+/yrDx2z3Xtz5PAfSH8O1ZPyJe4Gya08H290g114fYZp+Q4zlGzmgZfdTTv47qBcOc30N6HCNnVn8GoUnaBG2DZB3rE+7gGRiG/Sjv9b9FKcP0j+t882pn4HDpHgYNuewHQ8wPvY3Pm6DrjcqN+/vdhhlJQ91ZdkC7shKU9xkKtm/SIcG/c+a3+cOjhJRAcBvXvhCEb4ZFlUPtmY9vwWHhmKwyYA70nFe6YHTETqvO46zto7HTTO3gJXP+o/jDEjNgK8LjDQ7YiJSHGTZSOIAiCIAhu6T27NzuSd7A5cTMfbfjIv5Un60nPny9RjEPWDBYeWsj0vdOxOlmMqOBgwho08HtsGWvXcvSZZ/1aZ+roXHqt9G7LkZFjtydpkGCMZM1LwpfnIWzNyiLn2DG+2/Ydodka4z+38NKvVhomeI6uzfr9XSI0jaccImwDLRpvTPLPqsIdoTWM96WPz7Zyy2r/BMS8BIlmaOF6sktLtuL8afdiacP9/kcmu2BxtaXJ47aKXd3WjWs/jrjn92GJqOS2TayD08YtqzXST4SRfTaYgy9+mF+eut/z7OaGCRqN95p/rko0Ntc2QmxWLA896VlALyyOLItj35wSBpfMFuczPa4TGhhK+xL+3ccG/fWIHsCUl+TerI1Vj1gvlYLL573eQd9tc/ym7q0Xr+8CICK3IFzDPDppAxabN9PNnyxj0c5TXtfJsVjZetTPx3xuiIsMYdfIbvnLz3auQcKYniSM6cn3A5vnv5//zI0seaE9m17vwqPtqhIbYZya1bKag8h09jh8fxO87ZDt+vjGCxvolt/yk/vF7Zjovt3id/R2H9YDS+6FbbMguEuQuHWa733s/gs2e4kcTVgG63/Q/br9IdvoG2YaJXzQIWlHptPnLPWwHqEMuui96jP/tl+Y7JoNnzbz3ObRlXoiwMdW637KecSYJD21WvWHFDnndWHfWfTNIy/i+4bHdB/lPPH0ru8LsBMOnNjivq71s66is/Nn6on1dv/qZoN0Abemm4Sij670Pp6rwZu5SAldhB6633O7uKp6RLlLeWUoVd+1HPSEmJVa2ZNuXg56faJbnkQWh9u/1mcAeKN4Df2z/sJ+eH631+aCIAiCILjimNxw2h4/ruMdOOUQxfvmyjdJnW6coRVcqhQBISGUGjHCUO7oce3s4W3NyODgffcXaDyOPt3usGLNT3Dnjul7pmPNyGBf5y7s7dCRoNlL6LBJI9THW688i4+Bqfb7jCq+WZEbceNbXW6Cm7wt/pCW7rbK0mgQjEjl3NEwQ3mJYS8alof+ph/vhRHh1K9szHMTpLwbNuSeD9Bn9rmhbFAR0/K3W79NhwodICIOa4b9XvGhIcZr2iLn7cev91L7Z8Oano71Jt3GzmrxHqDS0iRRIpBv6eJMLnqfqUUKOfjFA5bMQI6tjM1fvvvsOZc2JXJzWXrwCO9cP4K/7vyL4DJlXNp4IijcYj7L1gPhWfZjV/eQa/3PbY1ysOP/5l1LfXsodGB+MXJS3ZizXyZE5BaE/yMGfr+W5HT3T2yX7z1N9eFzufmTZYWyvQ2vdiY0yIuIk5Op+/ouGk1MQBYvdqvFxte68OMDzQHo07wCTSs6iKV/vwoJ/7r2s+kCpvw7ePqW2PSJuc9wVhosflt/n3pYj6A9VPje4x5JdRNZv/AN2LvQzTpH4KCD6GiL/vDI9z316OBRJf0b33LjlETuN7F6mOIgpv7n4YEC+O9XXVBuMfft80jje6FkHT0RYIlaJvPFnCLP136tzzwYVcqYjDGPSm30BH15hETqHsp54mnd26DTG/6PM4+MJPd1QSFwq9MF+yKnRIXO0b1xlaHPz9DH6f+u2UP6cWntIQLotTPex3ulYfbApsUjevLOx12TJF013PU9PL8HGvjwvZCHUrpvuCAIgiBcY2Rs2EDKzJlYsy6taOMpuaILxc3z25wYYbxOVMG62Bt7z92G8qQvdGvBg/f3Z2f9Bpx63z5D78zkyVwI73+VS9xZ9/sy8odcfn7Xwls/mivWNY9obPhuLMk//EDuKT046/bfjhPm/vbVhaQdujgbCMzL9J7DKSzLfLydjhmvdWrt2E6tHdsJKVeWYo/5ad3nwLw75pGdkGAoK97ALsjnHDxE0rffcXy18dozuKTxvizICg33W3m6ZHGceazRY9SOq+1xHCc3RsOar9w3yDrLd8dPGopW9lnJzVX1GYqapmFJtj+syXAKOn9hupXQbM30YcGue99k94ySnNljLqQ74uzVDVDmhmQCgszPW5lc+2dr1D2XTu48e8gelV7UeeYyMDD1HEWtVnpUu4W4sDjO/7fRr/7NrFnA+Nlx5pZVnh88La1rvH8Nd/jau2u5+fGt0M44gzzzTAgnRxUgwf1FRERuQbhGcSdmN3nrb46lnM9vM/O/o/ywIoFbP11Ov6+9izW/DL6ezSO68PczN1I8yv0Uqnfv9GF6nCVHF1LXfg1LxsAvffQfwgNLuTF0LwmjezD69vooRwFxy6/mfc0ogAWHprkKs6CPZ5KT6LPyU+OyNQe+7apHdjv2dyFo5hcCAOxdAD/d7n7dn26Hw05+3Vunw4d14btuMLm37n1tRpnG5uUAYyq6llmtevK6pe/ZLVQyz8KSd4ztSjeE5/eCg68emal6lPDRDZC4y/12LwbdxpiXN+wLLx8zr3Nk2GFd2LzhCegy0nPbik5T0Oa+4L7tK4kwYJY9SaI7Wj8NQw94H6cZzmK0Ga2ecl/nzgqkZnd4YZ8e6T1kI/Qcq5d3eh2GmYQM3Pmt1wRDVyRPb9ETaMZV0ZM6PrYKur8DtXpcMZnEC0xh27wIgiAIwhWKpmmc+WUK5zdvdqnLOnCAg337cXzYSyR94V/EpD+kZKa4lE3Y5Ed0cKjxelFZNZ6d7jmJoCOJH31E9sGD+f7USV99hTUjg/RVqzg19n2X9X/s4Pt1W/nT8Pmn5mMpnaRRw3a5XfOo+fpvTbTw2GwriePGG8qb7fHdaiH3vH28Zbvp16WN9rlf//5/jHUdNlr5+LNcBv9onAGtzp1AjSwJX7YnpLSrsGzGy79YCM+039t1r9SdUsSQcLcxGaXmENGc+vvvnHr3XZe+ojp1oui9xiTuw6eY71ezUs2YevNUGhVvZNuA6/3l2YMRsPRd/V420WR2XmYqTTOz+OTEKapZAxnXfhxFQuyidNrixYbmN1bp5NLFS1MtFHOjwVqyCjabscYdx4mp6H62cZSm0dUWKX862v01bunRo6l1zzHKXF/4wTexFtfzkn8GbPcNOYf9s4UNDHYT0V7d/ayAO1a41yaOxENSjPH4lPbhUASYjOPcX395X/ESIoknBeEa5Ze1JgKTjS+W7OOFbrVo8tbffvX51f1Nub6K/lQ7OiyYtcM7kZSWxV/bT/LSdLsdwu6R3QkJcrggSjmkR1pX7WBPLrh4jJ6I0JEDS+GNWGPZbV9AdBnYOdvVQ9aRYia+3d5Y+p5rxGoee/6ClMMQWx7+Gam3dceyD/XkgqBH5A6Y5f9YDq3SRfM8Xk2CQIev6J9M7BCc+aaTbm2hafBzH6OP9e655r7Wd0+EOrcYxXpHnC/ED66A77rbl/8ZCc/tgo+dkkZGFNP/FikOfafCpDvtdb894H1f3FGmsR4hPsZhWp4KhBcTID1RtwJxIrnG3cTd9bHulVy9i7FN/z/14xwYpNswLHpbv+AzIyxaFzYLk5eOePZOdqagmatrdvfeJspNkpbWz3heL7KY/nImLAZqdIPd8/TlEnXNbT2uBkKjdB9rQRAEQRCuWnbWrpP/vuzH44nu3Dl/eX93uw3b6QmfUXzIEApKblISZ375hZwjRyn+9FMEREZyYsQbBEQV4dd2rtd9n2/6nMcbPe6xT81qJefYcYKO7eKog1VJuy0a1+/yL9Am+UfjbMpdTa5z23ZWiwAXIdgbL/xm4ee2ARwpbhfR4tIKHgxU7bjvbWOrONhYlNXvT9xFpQJ02qjxpe0yWVk1HpnrZl8/sEXQH9tAQLKHJOQONDqg8fx0K2/11QXdF+Kbc7BPH5d2lmzPAQehNWqggoPtyQe9UC5Kt07sUaUHGxM3Eppj3u58UjDh8Tm6ReMIJ+sSm61k2/OZtA2qDBWMycZzDhm1hrtr3g3MN5TVOQwTJhSOF3oe7sReR+45l8b8IpGkRJrXV5n1p34sD1chRu0nNCaHY2tiyTobRuQXH5AVFUbuPY/4PTbtwYWopWOJ3zvfpe4WB4ua9NVr/EruWrmre8tZb8dj0HwLk9q5Pqj6vIfrQ4ZRP1q4+yXPEnFQmIX4OudI2u59lsTlQkRuQbhGeXee+yjZH1YeZOPhFJ/62fZGV/aeSqNMbLhp5HZ8kVD6NK/A7U3KsvFQCg3KxRoFboCvO0PaCfeCsiccI7RXf+6+nbMftC94G8+3XfWITU8CN9gFbtCtVEbE6J61iTugwg3efXdPbjMK3ABvxUPTB+CmD829sWvdBDtNxPQNE+GPJzxvL4/HVutWGwBNB8G6bzy3P3/GKHDn8X5N17KnHH64q3d2rfeX6LJ6wsOaNo/3Ean6TIDDq6FEHV2ADouGPlNgy1Ro9mB+NPWpnTuJC7b52sVX1dc9sRWCw402HEpBh+F6EpblH9nLyzXTkwT6y73TvD+cCC3ABUKnEcbPnCdeOgqh3qcCAvrnbd4w8+0VlL5T4NQOPZq/uMnnRBAEQRAE4TJw9MkhRO/c4bZe0zSXKGhfOPXhR4ZI8JyjR/OjpgFOHQ+AG/yb1aZZrexu2gxrRgYQyfw7grh1hZUjxeDROa6ibGxvY6Rw0X79ODPJnuw6tHp1v7Z/qBhU8CPPfbM9Gs32WLj3+UCyg/VjGHSJ0hmlHQ+jREObJ7JJIElaGBRxEwj8iMmxNCMgYT5gEuBhQv2DGgGaxuRjJyh+YBCn9xi9mMPjs4mvk+bRuiOqm36fGNW5EyecPNadqVm0JsXC9bHdWf1O5uybRc7mDaZtE/4uTq17jumT+kbEGIXulQ4zgC2uKvnJ0cYZspqmMfz+QEb9WLiitiMh0SZq/fWPwyrjjOtwW06y9HDFvCaKbhvsQnDcxK/sDwu6jIRf+hJWNJcqXU/rCdaL18CalYWn+cZFq5ufL61obdTNHxHndG/8/slEYqxWuEf/HzzUv7+hPvauO0n59TeX/ip2PE1EcTdePWWvg6PrPYxSp+sGja4bjOdkbynYXc78u639JitrmkahwrLQMl3/UYLCrQSFmkSqZ2ejQvwI3LqIXIVzhgXh6uHk2Uy+XXaAw8nmiREuFmlZxquINtVdf4Q3HXGfaMKRyNAgGpaP9WhNAhAaFEiLKvGEhzgJuqlHdYH7YnP2qG7XseozOLldL9s1DzZOhtwC+urlZvoWQW3Ge1V0b+sfe3lv+5mb7MrrvoXDa+DHW1zr6tyqR0g746vADXaBG6DrKIhw47O7e74eHb7RR5++HmNdhdXYCuZt87jzWz2SuNG9rnXNB8Oz2+0Cdx6BwVCptTG6uWY3vS9nuxBnStVz9ZnOo/Mb+kXe0AP63wcX+BdtnUc112l7Bp4rYOK+lk6RRVU7Qqun7cs3j9PHPSLVd4EbICgUBi82lr3kZj6pP5SoLQK3IAiCIAiXFS0tza/2GavMc+9sPb2VFUdXYNXMBVFnqxNHgRv0BI3tN/kXGZ2+fLlN4NbpOi2UvkusDJ1m3k+Jp582LJcc/rJhOWufm2T2bvizRcFkoy4O4qI7YbmwybIlnqS/Hgz0hdWYXN052R5AcK4+zvZbzKNiw+ONQmNAiH9R6bOPHKNudg5nj4S51AVFWAgK8/x5iLtfF0WD4uPBKd9V5HnjWH67xS6WBgcGM7HnJF7/wX3faccc7vGzbZ+x03th/2J7uVk+LCeqxlbltBfnRV9ZUdtcgM1JM4nR7fY2PLtTn0FqSzp5LsC+/rddA+kzVH/1fjGQks1a29eNLGHsK6YsAAGh7nWPCh1OU+o6cw8Wy9mz+bOZZx45Rp/Uc3xbvD1dnjusz9KufZPpepEtW1L2ow8NZbXuOuZe4Aa4bwb0dWPj6gEVFcXusQ9SJaaKaf2jc6z8lvOgqcANNhfSANfPf+6ZFL/HcrEQkVsQLhK5Fist3l7Im7O20+bdRaRk+JEx4wI4nJxBu/cWG8pG3lqPOUPa+NzHS91rUSIqlDUvd7zwAX3T5cL78HlbnfRI1M9u0J9G/3wPzHxUF76d8ZBNOp+MJDhivDAlvKju31zVx2OTd1GQdkpPAukv33bVo5WdqXgD1OhacI/mu5yudoLD4ZFl+hPm4U4PJSbfDW8UhX98jMRv/pBr2eAlntepdwc8txNu/VS3qHGkWyFbhPhKQa1BHAl0ukjKE85HpEKUn4k98wgIhNeSdfG/Zg9d1M4T5kekwnUDCj7eMo3183/PJHhmm38iuSAIgiAIwpVKhmvQUda+fVjciN85x12DdHYm76TP7D48vOBh/tj3h0u9Jc23maWPzrESlaFRPMUuFm1P2u62vTXdvxmrgbGx+e+/2/odA/8yWgWemegl+TuwuZLi7mG6oLqkviKpAJMPHW1OQi5SJHdIdA7hxY0BTZZsBeGxABR9x3jPk+6qM/PrX6l0SncflBZZyth/SEn/1NxyuRYyzwRxdJnrvUWJBmc9pkepvnIFgUXsvhs1fzHaKtY6cmE5oXLPO4jmCf9CRjJ80YbErUU4uDCe86eDoVE/9x3YKBVZikc7vuy1nS90rXfStFyzujlQ0aXhme16UBTQNNN4vp5tMZRWFdsy+ZYpxvVyzxuXQxyO81tt899X6pJI7d7HqN37GJEldE2nSo+TBMQY7T6PPDkELSAQ7v6RqpFlefm6Z2nWY7wemGWzIc0942p8HVyuPNHdulFr8yYqfP8dtbZtRXmzLA+OyBflPdmZOBMUHc1zTZ9jck89eO2UiWPpudFGb/7Sb7xKZKnM/KSTykRFzty6xbXwMiEityBcBM6kZ1NtuNH/uNGbf/uXOdsDuRYrC3ecZOcJ16eIo2bv4HSa8Yu9Ynwkdcr49mP83p0NeLhtVdYM70SJaJOrAF+xWmHuMDhbAGHXFx5bDcPNfwBdWPC6cfnkNqOncx4dXuFAt0mu5Y48v0f/Aez4qm/bBji+CcZW15NATrFFKp85CFPvhz0LPK9rFiXS/T2I0b3WiIiD0o18H0vnN3Xxsu6trnXRZfQnzMHhZgOBHB8usAPcuGBFxOkPBwbMcRW8+zlNz2rYW09Y+cx2XbS9GhMV5vGSQ1KRWz4uHOEcdKG7x3vQ52fdN74wCQ7XPwd5nzFBEARBEISLxKQdkxixYgTH0/wwXi4Ir7heu+/veRO7mzbDkpLiUnf8ZVfB7q1Vb+W/f3W5sT9rdjanP/rA5+F8M87Cp59ZaLhfv9Y/cs7DPZOZquSGEsNeBCDbks3+lP18sP4D1p9cz/qqvluv/NlcMbJPoD05tVI8+kQQd78UxF43KVy8EWwicm+qdGHJr8u1SaJSx9OUaZ5iKN/7Z0ksbiLH11V33Wb2piK8e8B91r342sYHIYGhQYTVqeOmtSuaFQ78bZ6sMiRKt5KoNMU8SXxQ0aKG5YAiRlWy+zq7vrDo7kUApK9Zw/FXXyN9lUmglMvgHN7nnIf135OZmM3prdFkJIaSsKA46YHNPHZRboKeOLVP7b7UWG0+A8ITcbXSiK2aTnBkLuVvTKJcoPkTkaLVPNyLhhbR72WBYGDxwSN8euIU6/uu4f669/Npx0+pG1/XuE7Z6yDUdjxr9jRUBZSsli9sh8e52qSERluo6bSvmVu3cmjAQHLir0d7ahO0Ms6+tWZns+cG42xjFRxMeP16+vuQECKvvx4VGKiPzROBwRAWC0BY0VwiSvg2c10F6zMdIoMjWXDnAkr4EPcXe3cfKrRLJrKULvBHlz+PCjRqFOf++cen7V8KrmLlQBCuTI6mnKexm4SOlV+aw0cLCmZRcOpsJh8t2M3LM7ZQbfhcBv2wjm4f/cvGwym8PWcHL03fQq7FyrxtxqiDt3rZv8wDA8wvJO5oUo5Nr3UhYUxP7mpaSILZrjmw2iSC2nQA38DAecayu773vE6JWnoiwes9J2lxQdPM7UFaPgltnifLzdQdAF7Yl58RmTKN9SSTvvDFjfb3O/7Uva3HNYDtv8MkJzuU6k7e3M60eARaDDaWRZc1bxsabZzGVKoBtHrKN/FyyEbP9R3ciPwDPCRiCYmESq2gTCNjuVlUfJHi+U+nr2qCQnWh/tUkaHL/5R6NIAiCIAjCFcPQJUMZs2YM0/ZM4965JpZ1hYQ1PR1OuY923H39DT71c94p8jMxIxGArD172NWgIck/+Wjt58DwKbpYtCPZvT/40aee8rm/+AED2JW8i+snX0+v3+22iTHpvgdbZbuJWSkbEM6HtwYyta2iQpdEwuv47u3d94xrxPzHtwSQUMKksY9Elc0iMFQj0Mkj2JoTwInx35tGzWYHK8bd4iqD7f3T/QzLgCCnYxcYQuXp04hsafzc1Lr7mOn6x1bFgkkUcqyDaBvesCEhlSrlL8cNGEDVBSbBUCVqGxb32R46bLp/E8XCi6Hl5nLo/v6k/PorhwYMYP/ttxvaB5UwHvAT62PtMVVL34PcLDKTgw1tDr3wLprF7uuce9po0B7Zonn++8AYk9BgL4TF5lC6WSrVbj5FkTK6WFt75w5q79xBaB37/pb8xAd7jnK6IB9vtXLj+UxCTIO3bIREQv/fofNbeh4sR1r4n3gSIGP1ava2bcfO2nVI+3cZ2UeOkPTd92QfOsT+HkYhPbR2bWpt2WzeUc0e5uWgz+KF/NkKABU7JOWL8pU6J7pdNTshIf99yciSFOnkw+x0pWx2mfpnODBEo2KHJEOT1GnTvfdziRCRWxAKmVZjPD/F+mjBngL1O2z6Fj5asIfJq42ZjG/9dDlfLt3Pz2sOuUSPAzQqb3/6O6xbLZf64lGhjL2rATERwS51HsnOgC/awuR7IMtkmt9OH7JO3/ShLgDWv1O33xh2CLqM0v/WuRXav6Inw3t+L9S7077eSw6RDp3f8G2833TRE+AtcxNh0WWk/gWuAnRvaGdaDoFIJ2/zAbN0/+kSdeChf6CZiU2HGe9Ucl/X5xeofbP7+m5jXMvu+Mq1rOcHehRxjS4waAHc/hU8vNS38QHEVfZc3+ppePm43m/H16DBPTDob6hwvW/9v3oaBs7V+7iaI7V9JVDyPAuCIAiCIDgyN8F+73Iqw/cp957QNI0dSTvYc0a/50r89FN2Xde0QH3t69ad1D//RLNa2Z60Pb/PPNJy9HugA/f0vrBBA19v+fqC+4hroodlvrv2XXKsxujTan6kSMoOchVkW2dkMnffLmalHOH10keJjMuh4rTfqTxjOgSb30fuLWV/7xjJPauZoveLgZyNVLzZx5svg07JJqmG6NGY228nvYR+Xl1EaODsnDlYzxpnPY+5U7/nWF7X93uP6AomNiap+kzNon37GordBdyfPRRhWl683jnDctV5c6mxbh21d+6g5LAXCSlnEvATEUfJxvbw2zCbI2rW1m1k7tjhYm2Ttd348KTKHNd79HNHbbO3T24FwJLtuiOO9j25ycmGOhXuQUgGYnr1otznn1F95Qqqr1zhUh9Qx73QWmX6dKr/u5RaO7ajKrXQ7znz6DfNdYVSDTyOxYUyjfWIa2cbSQfrkoJy+KGH2NepM6feeYd9XbqSc8Q4W8PqKU9A5Rtdy15L1u+d86wpg50+VzadIDw+h9q9j1G1p/dZ7+U+/NBrGwC6vGWYoRwen0NUm+aGJinTTM7HZUDuugWhECksOxIz/tlZsAu/emXtNiV9W1Rg9NwdWB2Guebljv5nDv9jCGyw+ZsdB0aXhfbDoe1Qe5tNJpEMJevrCQirtNUjop2TDIbFQEuHxIltX7C/v/MbuOkDCIkyiqKBPorzh1fDBDcC7JNOGacfXwPrvtETblRspdtnuEuc2Pwhuwd1ZHFYayI4+0NAANzzk+4p7syQ/zA1bQuJ1L2e/3oVKrfRHwg4iqrlm+mvwiQwSH81uLuA6wd7Tw4pCIIgCIIgXJNk5l6cTIQrjq3gkQV6FObE6z4i9ONPCtxXdkICx14Yyr4dK+lf8k8A4lM17l1k5VQs7Gq5jeJbj6GZ+H1fDrp2imMjsObEGm9N8yk9ejSpM2eSsdpubbGwkaJ2XG1DdHmU1YICIhzud5VShNWuTfVF/2DNyCD33SYcXGC35XAU1kNytHxnjLRwRd+69/HTjp8YkJVKZOkg0o+HcSIWSqUYxzelTQAbqin+OJ9OZMksjuy6nuCyZSk9aiRpX+mBQe7E5TNTphqWN1S3NzwSD+WSnNewE9W5E9aj2yhR7T/zBmNrEtVlJAFFIrCmZRBfWxesiw95ksTxH7vv2EZYfLZpwklH/213BFRoAP8dBCA+J5QfF9cgYbTtnszLfX1gkSIQFAS59qcOWalBkDeZO3k/55NCXNZL/Ogjyo59D4Ckzz831CmngKVSb77Bidd0u9Ca69cREOl5nwJLVYb97uuDijtYvdz+pR6clp1uHpTlr67hDm/93KJ/r5R87VVOvvmW57ZuyDl82H1lOad79wotdbvKEAdhWymo0h72L4JiNaD5w/oM6U/1dUOiLNS88zi7fnPvMaSCg6ky60/232QeZFf0vvvsC6FRepDagjegWkei0upy7l/H75pCOvYXyP9B+JwgXDq+WeZbEsCfVh1kx/GzZOZYvDcGPvhrV4HGkzCmp0HAjgwNYv/onrzQtSa1SkUx7dGW/gvc+/6xC9yOLBoFabapMVtNnuI98Bc8ugz6TIYWD+sR2kGuP6AeCYsxj/ptfAHTG0ekQnxVp+1EQ+tn4P7fdeHencDtjK/t3FH7Fvv7Ore61sd5sFKJiNOTNjbsXXhRw6+4ebDSuWA/5IIgCIIgCIJgsVpYeGihS7nVLBeNCY7WCc7kCdxVj2mE3vmE23b+EP7tDAACLRojJltotUPjtpUaFW9+gcODHiyUbYD7gClvkbJ5WAIVa0+sNa37sYO59BPT6xa+uCuKY7a0Me/dHsDZSEXLMsZglP6pxqhjx+TqQcWKEVKhAhHFcqjYyWiVUPa0xty2nxAaaLf2yAmCW6vdypb+W3i4xzdUaJvM3S8FMeRR4z3M9vIwrXUAB0rp96uhz86j6pzZVPjqS/0e1otXefK337qt+66z53XLffwxFZ7sRHCEm89k2gmY/iA1b9pL7d7HKNFQPz7xgwcT98AD5us4EBbrEGkfVcZre0cCOz6Z/775lizCVjpYXvgQdOeYmBQgeZc90fz5xTM4d9j185a2xJ5T6ewc19njjhS9++58uxFvAjdAYJM7jQXucjzlUaSE+1nHzR1sPZtd4P/m01vd15VvAUDRe+5x38YLMb16ua9UCmrdZF++5yfzdnd+C7d9Af3/1HWS4jV0fWNEKlTtQECQRnix7PzmweVdrWlDq1Ujso25DWuJ5541FlRsCYPmQ9uh+gMTB3w515eCK1bkVkoFKqXeU0olKqXOKaWmKaWK+bDeo0opTSn1yqUYpyA48vE/e13KVr/sOv3mlZlb6T7uX2q9Oo9ci/uLuYTT6fy56RjjTfq9EB5vX415T9/IdRWLem/szMTb3NeNrQabp8JvTj/s7YdDhRb+b8tXCiq6Nh1UuOMAeD0F7pupW674S4+x9vd3OE1ZfGbbhYyqYOT5SY9IhTiHBwE3FM4NgyAI1z6apl3UWU6CIAjC1cXmxM00mtiIYf8Oc6lbf3K91/XT16xhZ9167KhVG0ua+0R0o39wL4RHtm7t22AdmDo6l5/ftVAyxe9Vfeavg3+5lFkzMtDO617guR7Um5W1dCH4gfnmAuucZq6BTTX/20B6bgZ/Ji3m6cGB3D0skLU19Y20J4Ildy/mkYaPMO5kInWzs40r3/+76XacdeePZ5UganMqmZvsQux1qXHUKFpDX6jRBYDhp3ULjIUN7eP8p6HeWZNMW9S/08zUqKN24bX6bf4lLt1SSXGmuJeHKqFRfvUJoIKCKDn0Bcp+MNZju+jyNn/3di/BI8v820aog7joxzVW+HV6MsMSzzxjKLfm2E9agrsEmRXswVyRbU2sNPyg0q9Gb+2AOKdt9vPBe9sdxWtC78n6cW33UsH7AYgtr9/bm1FM96NXgYHU3uneT98TJV543nOD3pP0vE6vp0BkvHmbiDg9yC2qlGvdLR/DjS9Q5r33CIiMRIWF5UfjO1Nu/DiXsmpLlhAQFuZ2eCo01Knkyrjev2JFbmAY0AtoAeRlSZvoaQWlVEXgOWDLxR2aIJiTkW3MBJwwpiclo8PY9HoXt+vUfHWeafnWo6m0G7uYJ392M0XKC892rlGg9TxyfJP3NtNNfKkdbUwuBhFxxiedjvT0kOU8sWAR8h5RCqq216POG9/nvX0egxcbvcACg+GJ9VD+eug71bdkkReTIRt0H7ARqf8fHtqCIFwwLX9uSYMfG9DgxwZM3TXV+wqCIAjCNU+/Of3c1vnyUPTQ/f3z3+/r3s1QZ9Ws3LjFyphvc51XM1B61EgqfP+d121dCMFFPI/BkRJn9P3+eefPhvJXl79Kly/svrdnjIGTAExvqVhcX3mNTLYGKPoMDWRWM8WZztdRY9VKAsLD+XW3TVBUymDR0PDPF4jbNJXHGz1Oh4zzrh1GxLmWDZjjonPlHj/OsaEvGsrqrD/tMpv47nO6P/FvrQJYVkcxu6lieR29zfunjIkOzQgK1ajd2zzxI0Bsz3Y8neyQiFIpmnU84RJ5ns/k3vCXQ9xk2xfN27lBhboXB+NrnSOylO2hQbth7gVMN+QmJXtvZEKZd94BIOZ2D0FrbnC0DNEcHnhE9/CQINENYfXqElpdF4lDa9UiqHQZ6DOFtNIt4Y5voGoHv/s0UKun7bh6jZH1jlL51iT5DJhzwbYocf3vJ6iYD+MLDCr4tmLKQYdXCLnhdqr/u5TqS5cQ3rChadOA8HAimhs9toNLes4KG2F7aJKHlpVVsHEWMleyUjEYeEfTtP2apqUCQ4FuSqlKHtb5BhgOFOy/XhAukCAH8a9NdfuXVkx4MJWLmU/fsFg1rFbXC7qbPjZ/ojukY3USxvRkzXB7hPgvg129pge2quTrsH3n6AbvbZypf1fhj8OMe36Ch//Vfxjz6PAqNPMQrV2yzsUdU5eR3tvc+rnuCV6msWtdsWr6dKAaXQt/bAUhwLfEMIIgCLnWXM5l26c2v7XqLSxW3yy6BEEQhP9PTmT4kR0RsCQaxc+GPzTgiVlWqnjIt1Zp6hSCS5Yk8vrrqbHWd+9qfwiPz6baTaf40+EW7anB7q+jY9J1K5R6EdXyy87nnmfm3plUSLTfJ54pAiP62u83Bz8ZyC9tA5lwUyApRbwLYZZAxY+dAnm97cl8y4oP1rsGBE08ZjsPqz+HrdPNOwszyR9UqRWhQ//xOo6yHzklu6vaMV+YSopRjO8VyA+dA7EE6vtUzGLVg36cyIkwiV51Q/yDgxiUeo77Us9SOjeX906dJhiIKJZDQLBJRPduJ0uO0GjXNs6E2CO/g0q5H1txm7UJEf6J23lEde5UoPXyElkqpajw/feGuqyzni1C0hYv5tw/iwDIWLkqv1zz0WLIEaUUlab8Qvkvv6DSpJ/0Bx41u3Gk7YdQ/07vHVxqmtyn5xYD3fu6UqsL7tIXS5vCJCAigsBoz5/hqG7+aQ4qODj/s6hCQijSrl1Bh1eoXJGJJ5VSMUAFIH++kqZp+5RSZ4EGQILJOg8DGZqmTVFKPeql/8HoIjply5Zl586dhTh6z5w+ffqSbk+4+Die0/MOHtttywYazvWH3Upw60/mnt1VXp7DvAF2O4gFe8+ZtgPoUd6a32/+OtmJDG1Tgnf/PUXt4qE80qIYRxP2FXif3BF74jh5P9daQBDJ1e8mfpdJgkkHTltjOH3JPvMhEFwPdecSAnLPYwkrCjt3Qu/VBKWfoNqfRt+rnZUG6PWO4y3k/9Gwzt8ScXIdZyt1I3bfHxTbZrch2XvLn+SGlYDEHEiU74WLhXzvXlvI+bw6OJN9xqXsmxXfcGMx1ymuck4FQRAEgOHLhpNrzeX26rf7vE7yjz8Sd//9AAR7eZYa2/sewhs0yF8OjIqi+HPPkvi+XeitMnsWR599juyEhAJHJlZon8TCiHCmtgrkaFGNI8UUx+Pdi9CjJuYNfBKp79Qnplcvdp/ZDUCkwxCKZML2igHc/dKFxSqeSD9BrjWXIDfex+F5AVhnEuC3geadhMWaFgeUb0DR++/jzI/uJ+FHdzNG4OfZghS1WDgT6OZhQIhrwFh2VHmCHR+MhEYT3aO7qWd0UCndbmNocgpDk1MMdY52HW4J80HkvtMebBVety5R9YtzbotrpHh+YG7LId77NCEwyn8blSp//mFYDqtdy7CcdTaI0GjPsw+OPPYYNVavMpRFNLnOTWvPBEREUOTGC7M9uaQ86tlSpuJPEzl4r2+zuMt9NoHgkiW9N7zERLVty0l0G9jwpr6d19KjRhHZqhXhDRoQGGPy4OsycEWK3EDeN0iqU3mKQ10+SqkKwCuAazirCZqmfQl8CdC0aVOtVq1aXtYoPHbu3Mml3J5w8TGeU7uw3K1FHcoVjTC0fbit4osl5qmD48pWYtX+ZG6qX5p3V60zbTPrydbUKmv+5VGrFjzW0//x+8Uv7+S/VS0eIb7rKMgcA+/XhhwTT7wiJSnW602KmVyUXHpqgWUszLF5Xw1eQq0ydV1aFf7/aC3gDkoANL4RYotA8j7o/BbV3CXMEAoV+d69tpDzeXXQZGITl7LTwadNz52cU0EQBCGP11e8Trki5YgJjWHV8VWMXTeW+sXqk2XJInL7YZxddk++PZqYXr3IjAgiJMe0S50HB1H6eVcP3PgHHyTpiy+xpqURXLECoVWrUuX3mQAk3NOb85t8sGt0oFb/dFR8Y54O1aPM/2lkF7fPh2qEZ3mOuD724jBievXiWJpuvRGZaa9LKOm67ovNXuSdte+4lANEBEXQpVIXbq9+OzP2zGDG3hn5dY0nNmZsW3Pf6DBffJ6D3dtxhNWs6X19R3bNAeD3I8cZGxfLH1EmvixBrskQTzR9kaqzHSJ/r3+MojHdTEXugKJO1guV28KBJS7tAKr2NJkKEBqt+5D/6CFZYLXOhsVywx9hR28PuaOC3B/DCyWqa1cir29B1p69FHvsURdrDGdBMjDENSK74rdfcvCBwYay46++5rQd97as/09ENG1Krc2bICiIPW3buswycSSqfftLODLfCS5blrLjx5Gxdh1x/e/3aZ3A6GiK9u59kUfmH1eqyJ0Xxuqs5sUCZ03afw2M1DTt6MUclCB4IjvX+MNQNtb1h/il7rUJClB8usg1yrr5KD3D+BAPHtz13AjcBWb/Yv2HulhNeMLDdD1Ng3lOyWE2T4Wuo/Span0mu/7gl6gLgxfpyQuvFJo/BDW6QZGSEBRy6bevFHR+49JvVxAEwQeeXvQ0ZzLPMLT5UOrGuz4EdETTNN5c9Sa/7f4NgIV3LaRIcBEWH15MpiWTHKur0pBu9jBUEARB+L/B6qO1waC/jHaDW07rKbemfm8eaXpo0IP8+XIbQjwEoqqbzPP3KKWosXIF2YcOEVKliqHOX4FbBWio0g1gwCz4ob5Lfb0upzi6vCjBkRasuYr04+YiZ9K/iyjxwUdM3WHcoeNFXdveW+de7tm2gCYZrkk7byhzA2+10kXWSTsmudQ/v8Q88V0Rq5fz1PE1j9VRnTtzfPgrHtsYsOgez0WtVkadTnYjcrveU+ZElYfH18AfT0J8NWjzLGFW1wcBVeboIjovH4Pvb9K9im/6UM+SeXQ9/GKMqA6JMpkSEBoFVdq534fWz7jmLWrYB/Agcp/c6r7OC+W/+ZrDgx503yBAUbRPH499RLZsSfqKFQBouQrnf8/QOq6f4XN/GZOjBkRcCcFsVwYqRNcXqv/zD+cWLeLokKcu84j8J7pLF6K7XN0PLq5IT25N01KAQ0B+GJBSqgp6FPdmk1U6A28rpU4rpU4DrYCXlFL/XoLhCtcQx1PP+5TwxIzdJ40WI87JNPJ4oWst9r/tf4KG7wY0897IHzTNLkyf3gUrPoGNP8OsZyFxt7HtFzfqnmyO9PrU/r5KO/0Cw5GbPryyBO48YstfHoFbEAS/OJ97nuVHlxf4O1nwj3kJ81h4aCEbTm3glWXeb0z7zu6bL3ADdPy1I6+teI0X/32R11e8brrOH/v+MC0XBEEQ/j+Ye8A1wrYwyNy6lXk7fyfUTSR3zbuOEZBtFiuno4KDCa1a1eX+Lbh8ea/bXtTAvk7FjqfdRue+kHSGkEgLlbucplyrMwSa+UDbOPXQY0TsOORSnhFmHF+XiroYFbxrLlsOuLY/67DPo9uM9rwjNgalpBLvSeSOLgutn/XYhzfvX280iLY/bGiYafNrcedfXbwmDPoLbp0AQaEEhIQQ2bq1oUmwzYuakEg9COueiXpSwog4qN6ZCp+6+pK7kOdB7pyEMA9lYrOiFEEljBHkUeUcknhewDVukVatwJ21CxAY5f0cZO7alf/+fHIwJzY4RXfbfNs9ERAZ4bXN/xsqOJjoLl2ovXMHtXfuMFYGXalxxtcOV6TIbeNL4EWlVGWlVDTwDjBf07QEk7blgYZAI9trHfApcAW61gtXCpk5Fp6buolKw2Yza/MxKg2bzQ2j/6HyS3PQNI2sXAs1X5mbX+8Nd4kizQgIUHzcxyTRoAk/PtCcf4e2p30tz9lt/ebAUuPyX8Nh5iOw7hv41ElQP2HybKmG0xO+4jXhsdVQuhF0fxcqtCjU4QqCULhYrBb6zenHg/Mf5ES6f4meLjYpmSk0n9ScRxY8QoMfG3hf4f+cnck7GbdhHJm5md4bO2HVrKw9sZYXlryQX7Y3Za/X9bYmuUYfzU+Y73W94cuG+zdAQRAE4ZrB0S4jj5GtfEjUbiPZJMA3jzt3xnLnMldxdk+H8wQEQvnF/vsfF3vkEY/1dw8L5NvOAay6MZeyrZIJj89xG+Rz27k0w/LZQ/6Lgxm2rrccOMTm+zfzfrv39YKKLQGomp1taN+6rF3sDQ4I9tr/soOHefqMs2OsA7d+Bs9udzCVdk/JV/2I5A40HrM3ag8iKiCEKIuVkYlJemF0aZ+7c/Z6DgjxHOAU0aEbgWF69Haxum5yY+UlnmxyH9To7lof7DqLG6DYY8Z0cWVvcMhZ0rifx3F5o+SwYW7rYm71YKtiw5KUlP/+9NZo0o75H6DmLrBPsFPhhx/y39faYhazKxQmV7LIPQb4E1gLHAUCgXsBlFL9lFL5vxKaph1xfAFZwFlN0zzkVRb+3+k5/l+mbTgCwBOTjRYhv60/Qs1X5pFlsyB5YvJ/PP3Lfy6WJBfCzQ3LUKuU96QRN9YoTvm4i/CE9OQ2z/UjYuwvl0G94FoGUKIWPLwEWjx84eMTBOGi0mhiIzYnbmb1idV0/q0zp8+79467VKRkpmDVrNw315i4pf4P9a84If5icj73vNc22ZZscq25vLb8Ne768y6+3vI1zSb5P+Pni81f8MB8/zK8n/UQDecNieYWBEH4/2V3snG26IZ7N9CrmncxLo9MD1rlDVO3c+M218jYszY3hfDkHS51WC2QsAwykl3rcrMJsnq59lCKrBDFB63CiC5ve9Cc5SqSzj18lKhCmJmWEQpBtn4M4qLNPuSsk11GqYhShuWyRcp67D/K6mWMDe7xcaRQ9B7ztkU6dnQtbGq8DqkWUZKF+/ex6PARKuV6ToZoRszttxNg85wu8YK5JYsjSimqv9WTGrcdp3h9NyK3Y+LJyiYJE93c/8becQfxgwdTpH17aqxZjbrpXb2iWqf8hxMFJfbOO4gbMICi991H3APGYxjRxDU3ijPhDm0iS2cSGOx6/p0TTTpSc7N/dj7/r0S2aJ4f1S0PBS4+V2ysvKZpFuB528u5bhLgaiplr2938UYmXAtYrRr7Et17g77wm+sTtpkbjzFz4zH+fuZGqpf0LE6/f1dDn8bhbHFySclO897GHW1fLLxxCIJwybnt99tcyt5d+y7v3vjuZRiNzlP/PMU/h/9xW9/5t85s6b/lEo7o8jBt9zRGrR5FkxJN+LLLlwQo13iEqbum8tYqDx6PbrBYLXy37TtSMlOIDYvlyLkjTNszzef1p++Z7taKxB2b799siMb/qP1Hfq0vCIIgXDucyTpjWA4O1KOLt/TfQn0TD2tHlKZRxkSL9kZylALnOKWMZAiOgNHlIC+HxPATxmjcn+8hcM2/QHHTfne1r4LusOrEgSUuM6tK5bp6PAcEWbHm+hdzWCoZ/jhiMsM4tiIAiU5WCM4Pzd+/8T16z+nrtn+vowlwb4/hjAoKIrpnT87Onp1fFlSiBKVeM/HzbjcMVn9mX/62C+Zx0b4RWCSSavPnkX3kKGF16/g23q4jCVz/rfsGoQ73/436wD8jIScd4qrAQ4uM9Y79BgdT4tln7AUtHi60gLCA8HBKDtPvy62ZmeQcOYLl3FnKjBrl0/qxd9zO+Q0b9PWJIivV7vcT2VIX4ANjYoju0d00macK9j47QBAuNVdyJLcgXDRSzntKve2Zzh8uJTPHeKFy5EyGYfm6iiZZQUwoGuF56tTEQc39G5wncrPskdkTWsIi3378XOjwCgTKD5ogXK1sTtxsakdxsXwyfcWTwJ1HapaHKbRXCO+seYfbfr+Nvw/+7VP7pUeWUv+H+ryy7BXWHF/DiJUjyLHmsPrEalYcW2G6jieBO8uS5bZu+bHljNswjh+2/8C4DeM8Cty51lwsVkt+krBdybv8FrhBj45a1XcV1WKr8VLzl+hQvoPffQiCIAhXP37/hjtFPk8ZY5IM0IGkUq5e2AsbKhLj9PfpJa7T3+xfAu/XhFElwZpD/lY2/GjfpqbBvn8IMPHNDgi2El63OkmDb3E7ljv+uMOwbBZZWKKR/7Oi1tZQlDcRzImIM21fN662cblIOVPv7nyGHdJtJwuJsu+PzY9grb1zB9WXLiG4pIkFZ3hsoW0zj8DYWMLr1fU9cjYkEu73MNss2GFmdXhReGgh3Po5PLLsoozfXwLCwig3fhwVv/uO4DJlfFsn0p408vxxoz5SpF3b/PdRnTubri9RycKViIjcwv8lQ00itf2h1qvzOJ+tX2BM3nSG1u8sMtSXLerbs+dXbjJeeJSOsV+czX/6RtpUN48c8Jv0JBjpcEFxyotViTua3O/eqkQQhKuCf4+6z8mca/VvSui57HPsObPnQofkM61/aW1afiL9RL4Yezl5Z807/LTjJ/am7OXZxc+6HVNmbiafbfyM/nP78/jCxwH4fd/vDPprkKHdn/v+dFk3JTPF4xicp4I7krctX2j6U1MaTWxEwx8bcvDsQYb8Y+5lels111kBeQysOxCAyOBIZvSaQd/afeWGSBAE4f+Ug2cPGpabl3IfzFPxpMYnn1l4+/tcwrI0Kp50tVGYe53x9+RYlNGPelF9xRc9Aslw/t358RawZKMBz5QoRtsKZVkUEQ5zh8IbsXBkHSTo10qBISb2DbedoFKfYvSpZ7RWy5ee7/+DQ+c8CMk2ipQxRnufaJDtpqWdI8U9/4YOP20Mda+13mnye6b+oOHtU24s6sJirkzbyb5TL812qrSFwUvghiegSntjnfPnqERtPaI7JJKrFUeR25mg4nYdIiBCkksKVw8icgv/lyzYceF27bVfmwfAj/+5zpsLDvTtX6tn/TIM6VCNR9pWZceb3fjt0Zb0bVGB0bfXp6YPft0+kXII3qvivZ03rhsI7V668H4EQbiseBKlv9rylc/97E/dT8ufW3L7H7fTZ1afCxqTp+hjZw5mGG+Sx6wZQ+ffOtPwx4asO7HOUGfVrKw7sc7lxvpi8dOOnwzL/x4xf6Dw7dZvmbBpAhtObfDY35wDc1zK2kxp43Gdvm6mIR9PO+5xPWcsmj1S7KYZN3Es3TwBc3RItGk5wN017/Zrm4IgCMK1hSU1laz9B0gc/zGB3Qcy7vNcXvnZQtnTmovIPf8Oe/Lix2ZbKJEK1Y7DszOsvPeta/Tyd10CSXr41vzl+nuMD5Z/a63fj2XYfKojT62HpH327UVGsCAygjOBgQwp6RBY9HVHmKtbQGwqYpy9mlLcggoA4qsTERxhSOaYFqCgUT9dKPWB4AgrcTV1+8iI4llk1vacPHp+Y8WPxzx7hN9zLo3+qWcplZvLrMPHYOUn9kpNg3kvAxDpzR+86SDXsmGHPa9zoUR78Auv0fXibtuRMo2g6yi4fyYUq6mX9Xz/0m3/EhIY6372eUgVu36gwi/EPEYQLi1XrCe3IFxKXu5Ri1bVitFz/DKXupsbluHPTeY395WGzTYt95WQoACe7VIzf7lsSDhv3+bZj84rxzfBgX+hwd1QpAR8dIH9OfvTCYJwVbPw0EK3dRM2TmDJ4SVUjqnMi81eZNi/wzh9/jTvtn2XKjHGh2W9ZtoTRW1N2npBYzKzT3HHosRFdEW/2cm15jJphz1KaeD8gQbf7t92/2aw9ggPCmdmr5n8susXelXtRdXYqn6P9YdtPzB23ViKhxfnj1v/oEhIEUD3u3Zm5OqRNC7Z2EUI/mzTZy5t3XHw7EEqRutem19v+dqndVYdX8X1pa83lP2+73eft+kPZp7h5YqU49FGj1IuqtxF2aYgCIJQeGQfOULSV18T3qABsXfcXmj95hw/zt4uXSFHt0EIAEoDpc9oDPnDQtNHjTOByhQpw5zb5nBqxwYiTg7LL290wFWQPVxM/3uyYhTxbrZ/1hZ8uizC4T7mY3uivdeKGS0+doUEUzPbZtlwajsAA8qXZCr2WW7B2bZo3iVjoFEfcqx2i4fWFcuzJSDIxQd7QIqDLcm90+Anu5VJycZnKdlYrz8S6Gq3koe1eRrdap6nVpZte2aBR09vRX1Uj+eTU3g+OcVefngNlGumR6nbCDIRuSd0nGBfaP0MHPsP0hPh4aVu7VAKlYf/LZzArMLkiTWXewQXleDSpdzWBUQWsb8Pl0hu4epBIrmFq570rFy2HUtFK2DG6p8GtWDwjVWpWybGpW7Hm914uUctosJ8fx70xxOtCjSOQiE7HX64Gf4aDmOrw+ovPLePKQ+vndG9xB5ZDiNS4VYH8aXV0yJwC8I1TKAKpFpsNUPZtqRtzNo/izZT2rD82HJ2ndlFr5m92J+6H4AZe2Zwz6x7XPpyTrLkD71n9XZbt7zPcsPy7BP6w8XEjEQaT2zs0j7bYp/u6+xdfT73PF2ndeW7rd9x6++3kmNxzc9wNO2oadSzpmmsPr6asevG6ts/n8gNP9+QX5+c6Tqr50T6CcatH+d233zhlpm35P++jdvgW18P/fWQi61J5ZjKFzQOdySeTyQiyHjzM/eOudxS1b1XqSAIgnDlcPTpZ0iZMoXjw4eTuXNnofSZtf8Ae9t3yBe4nal8ErKef8OlvHx0eeLGTjJZw8gbffUEiO+dmuy2TbZDEPbScFcB+XyAUQqZGlXEpY0zkakO63x6vWuDsk1cfn/7n7WJ3KHRULUjdH7TtO+IAHOLs3PRGnWrnKWW47Fs87xrw9jy8NQm1/JvOsNBY46PIJPb5jblHGaKxZaHwYvgma2XRuAGiHT3uEK4WATGxYGb5JFBxYvlvw+IcNUDiva9sFmcgnCxEJFbuGrJzrUy478j1H19Pj3HL+PDBb75wu45ec6wXKeMPcLu4z6NCQkKoF7ZaBLG9CQ8JJDSMeGsebkTG17tzLRHb3DuzsCX911Hg3Kxfu9LoZCTCW+XyfdaA3RvOXfc9b1+4RIQAKXqQ6l6enmjvrrQ3eFVuNHkAkoQhKsW54eBi+5exBstXW8yzeg1sxfH0o7x2orX2J603aW+y29dCuSLfSD1gNu6Tzt+amqHcfjcYTr8ap7A8LqfriM5M9mnB5/T90w3LM/cO5Nu07rRZVoXtiVtM/QxYdMEHvzrQZc+8qK43I1n6m6jj+TUXf75Slo1K88teY5+c/q51L16/asMaTyEZb1dZyH1+t0eaZ9lyeL5Jebf52v6rWFL/y1M7jGZhsUb+jU2gAfqPUDHCh39Xk8QBEG4vBx/fQQ7atUmc6t9NlbK1F8vuF/L2bPs79HDa7u0f/4hc5cxj4QlLZ3MLVvcrGHnbKQeUZ0e7t6jWnPwUH68VAm8XaFMjY6ifuUKbA4N8bp9AJwitgFmxcTTY7p93ytEVaDYfbOg8X3Q71fd17nVU/DyMXjZ+EA9AvPrlojWJgk7A90EYBWtBLVNHjL/8YRhsarTw4eZvWaa93epiTRJSllfrM8uFiogwPRBVMmXhhEQGpq/HBBmfEgUVLo0xYeY52oRhMuNiNzCVcu3yw/wzBT70+rxC30Tuf87lGJYjou0X8jc3LAMu97qxqwnjZ6n4SGBxEWGcF1F90+yG1eIpUtd91N+LipnDuoZwn1l4Dyo6z5ZGI366gJ3aCH5gguCcEWw9MhSw3JsaCx14uv4vH7Xae49Ec9knWHwX4P9Gk9KZgq3zHS9Gdt8/2Y23b+JG8vdCMBTTZ4y1DveQJrRdkpbGvzYwOv2t5y230hnW7J5dfmr+cu9Z/Wm+aTmJGcmk5GTweebPjft42Cqd7/vc9n2h6sTt080bdOidAu36/998G82JxoTJleKrsTdNe/moQYPERPqOhPJMbL89RWvm/Z7Z407CQ/So3PqF6/vlzd6HtWLVue5ps/lL7/UXHI3CIIgXOmc/esvUqZMcSnPOe5f/gZnNE0joa95bggzchMTDcu7mzb1us6/Pfz/rQL05JI2toeYR68C9Cuj38/lieJJjrdDdTM8buPdde+Rq9ntTQ6dOwSVWkGvT6CCQ+R3SCSEGGdBRZoECgx5OJCa0Z636UKdXq5lyfsNiyUtFl4q24XokGg+aPdBgezbLgpPrncta/Oca5lwUYnr39+w7JygsursWQTGxl7CEQmC74jILVy1jJlbsOl0WRb7BUSj8rEu9co5c7IT/73a2bT8nTu8CyoXBU2DcT5uu/F9uiVJRc8R6YIgXJt8t+07w7JSiqCAIN5u/Xah9L/6xGrOZp/13tCGWRLFdfeuQyll8HruV9s1irkw+H3f7/nR2ofOHnKpz7Rk8uH6D2kx2b0Afdsft/H3wb89bqfzb/bfDWdv8zxGtx7ty5DzmdFrhmF5+i3TTdtlWbKYvd81f0TpyNI83uhxQ1n/uv1d2jlzW7XbKBKsT+lecOcCAOLD41nZZyUze82kb23fxQ1BEATh0qPl5nJ0yFOmdTknPSc29Ebu8eNk793nvaGNww8+yHlb5LavAnupMkZ7tE9u8k3SmBKt/3adU4p7ypb22r5h5QoAPPZYIDNuUExpE0B0I+OM4B+OnTQsn8k649NYzChidY3kPhGncC/Hu6Gq+cwyZ/oWb87yPsvpXNH83vayEGaSzDoo1LVMuKQExsZStJ9+LR73wAMERIhHt3DlIiK3cFVy4HS6aXlWrmviL0c2HDrDqzPtU/KaVnSfUdgdRSNDKBtr9KXa/3YPapS8TFHPH/kocF83QI8iEATh/5b1J00iZIDrSl5XaNtw9LM+ff40P2z7gUcXPErn3zpz+Oxhj+tGBEUQGuh6M5MXbXwx+GbrN4C5pzboFibeeHbxsx7r03P036zUrFT+OfxPfnnevn7c4WOKRxT3Zbj5BAUYpypXL1qdh+o/ZCjbkbSDN1a42tGMbTuW2bfPplh4MUN5z8o9vW53cIPBrOy7ki39t1Ay0j6DqEhIkSsnEkwQBEFwQbNaOTToQXbWc5+UPmv7DrIPGmco5Zw8SfLkyWQf9vwbDmDN9D/KOuGuu+0e3l6oetNJiliNEc9L6wfwb11jkFJorVou664M168l/oiKdKlzZl6kXcTTAhQ/twtkWusAIpys0JpkZdHifMFzkjhaccRYXSO5Zx455n+fEXF6oklv1PL+m39FEHdxcooIOsWfNn/g5UypV1+h1o7tlBz6wkUekSBcGCJyC1cVmqbxxZJ9tB+72LR+fYLx6Xl2rpU3/tzGhkNnmLL2ELdPMCbdWJtgLmp4Y1Br449tQIDn6O+Lxof1IfV/7J13WBRXF8bf2WVh6R0EFFFRsRfsvcZeosZuNDEaS6LGmGg0xRhj9IsxGrvGWIkt9t479oYFrGBFAZXetsz3x8Luzs7MFjp4fs+zD3PvPbfsLrs7c+bc9/CjDwWpMyR/10IQRLFCXx7D18EXPSoIbG/NASeenYCaVeNm7E1MPj0Zc6/MxdkXZ/Eq5RU679DJjPx17S9e3zpe/ESSpmjr3xZXBl8xanPzY4FETFksuLYANdbWwPDDwy2eWwwxbcs/r/7JKc9vPR+3ht5CqzKtAADbum9D+7LtMa3hNF7CTXMYV5erj7jr0S68SuVH5XUI6ACZhB8bZmonEwCUsi8kWS6CIAgiVySfOoWUc6Z/WxL27tUesyyLZ5+PwusZv+DJx0PBiiSSzCbj/n2j7WKYo+FdrkMMrB1UcBRwBm9qwXVr+Ez/CWf6neHU1cpywN+wMR0Z/I2Xh2C9XUALXt1FgaSW2TT1bWp8Ir2oa8Nf4EelgAoKJXLEx7tM21ibdvYXCk31nK7VexfeOt4T3Idzz3+lbuLyrOacJxJEYUNObqJYceZBHH4zIlMyYfMNTrnS9wew+lwUei0JxeRt/CQmnzTN2Z3hgQ390SBA8wPwU5s8uOBXpAO3/gOixR0xPDKSzXdwA4B3dcvXRRBEieWL2twkRDObzcSC1gssGuPr4K9xsPdBTt3iG4tRa10tDN4/GJdeXeL1UalViE+Px8pbK3lt81rNE53Ly46fjChbS9JGaoOwj8PgKOPvqGlZuiVH+iS/Wdx2MSq4VMA/Hf7htW17sI1TNkzUWcm1Eua1mof+Qf0FE25mU8axjFlrCQkPgZSRcurCPg4TsdawvN1y7bHQGgwjyAmCIIjigeKFeVHBEls7qNPToU5NBZuRgYwIzbWXMjoaypgYo33VKcK7bfMCuavG4euh4u/cfWvw8y/18ISL3AUTg3U7rW7KNc7tgw45c+4GuQXBpvMfFvWxk5mQdTCQ51jZQXe+suoDqaG1+VjbA988Fm8PaK5JglkUaT8D+GgtMHAL0Id/LkXkLYxMBp9ff9WWA48al+AjiKIOObmJYsVPu+8YbY9J0m2RG77mssnxetbxy9E65DIptoxqjMjfOqOxfx7cBd85Ctg2HFjeAkh4YV6f17eF6yeGAzX7a46tHTUJJifcBmTiUQYEQRRfkjKT8CbtjUm7VAU3cVEtz1o8mzb+bTC5/mRO3dyWc3l2/Sr3w82Pb2JY9WHwc7Dse7T2+tr478F/vPqDvQ8avRj8rMZnvLojfY5oHdgMwyB0YChO9zuNOc3n4ETfEwj7OAyL2mpkmvJKdxwAGDCo61VXsC07Wabh6xKfHs+zNRXhJTbHlAZTRPsYJrC8EH1Be7y121aTUThN/JqgX+V+qOFRA3+24kaeC0V/EwRBEMUDKzfzZBrfhYTgXu06uFc3GPdqc3dYvd0QYrSvOjmJV1d+7x5epLU5+LeK0x7beuqu8coJRDerpNzfNmmWI9vRmuv95qtem0dF14pY2GYh4BGoub4yk1+b/WrcQM5NHH2tgSsWdJfgl/4STJYI3FCQOwNDdvDrhbB3F66v/xnQe5V5YxQW1XoClcSTnRN5i0vvXqgSEY4qEeGkt00Ue8jJTRQrhLS4g0rxTzTSFSocizAeabBpZCOj7eaQZ1t27uidrBz9ybw+IX35dT/FA06+QK/lmgSTU58DH60BXMyL+iMIIm9JyEjAyWcneQ7mvOJZ4jO03doW7ba2E9XbziY2LVZ77GvvK/r9NbjqYGzsshGbu27GraG3BPW6v2/0PSc6+pPqn1i07gXXuBHjY2uPNeksz052qI+QVrer3BWdy3eGh60H5zl2q9ANR/sc1Tq/jbG03VIEugTy6v9s9Sc+qvQR/mz9J1Z1MH6B6G7Lvbg0TLJZzb0apBLjUVpike0BTgGifYRuBmTjaWue7vf3jb7Hv13+RQOfBrg48KK2/kTfE2b1JwiCIIoerIov8wEAZTes55QVL8QDbt6uXg1WpULCvn14/fvvUCUkcNpVScmcclDYTdgEBmJ7Uwn6TZGi/2TzopP9FiyAfalMlGnxBq6VkuHbIJ7T/qHBPABwK0jz/Bx80yF1cQHA3zFlXGxFnO3dt+vkusZe4LQteSV+zWkyp4gNN5J7Z++9qNj3U/Qa+DMaGeqb91kNTHpodmJJzVoFgr5afQc4evPrCYIgSgC055Qo9vyvT010X8TVl6v7i+ltNo3Ki9zdLmgyDRz3VmZGXGdwTyoxOrTobjsjiPcQNatGs03NtOVbQ/mSSenKdDAMg1RFKlps1kQA1/Gqg3Wd1hkd+1L0JYTFheHok6NIU6YBAIYdHCY4RzbnXui+Jx2s+Q5jfap76OSNnG24UUbL2i3j2X9V9yusvr3a6JjG+LT6pyZtKrlW4tVZeqNRP1GiMZr5NUMzP817l6HSXGRmJ4lsV7adaL8jfXS/PUIJNPWZ1dx0ZLm7rTs2dd2EK6+uYO6VudpxSzuWFu3jY+8j2uYqtzzZsp3Mzuj/FUEQBFF0UaelQfHqFWzKlUPymdO8dteBA2Fbi7+zyxhv16xFzO+/a45X/YOg8LtIPnYMdg0aQJ2ki+T2+mYSGGtrbZllGLAMkGAHOJu4929d1h84Dzj4ZsDBN8vZ61YBePsIADAj7i0+tS2PA8F9sO7uOnzw9hU+qvUWmeWlsHbUyZmUc+ZKU6ZOeYJyBz9GZEIkAGBaw2lQqpWYc3mO6FrmtTCQKDHQsq4vkmxzbce1xp8kAHhXA9wDgTcPgaCucJG74Ot6X2c1GuQKqdINkFq4o8qzEvBtJPA/vdfBXlhvnCAIoiRATm6iWMCyLG69SODV+zrLUdqVu6UmKi4FqZl8rTZ97s4oAtufYiKAJQ359TZGtsC9vAFcWApU7sSt96isOUkiCKLI8DSRq5kfmxqLXY924WXyS4ypPQZ34u7gi+MaXeyaHjW1dtdjruNZ0jNB3eVXKa8QlRiFMUfHQKG2LB7pt0u/aY/Tlelm95NJZOhVsRe2P9iOGh410NSPL7HBMAyqu1fH7TciMkpGGFFjBKyl1ibtDCO9zdWlFmNdp3X4+MDHvHrDCG5jzupPqn2C1Xd0zn3DpIzty7bHkSfCN13LO5c3a53V3Kuhmns1DAwaiGsx11DDo4ZRjXFjiSELUpucIAiCKFzUaWl41KEjlDEx8JoyGYm793DarcuXh8eXX4CRyeA6ZAjerV8vMhKXbAd3NhFVqmqPnTrrrlEkDsLXNNaLZgGfTjU6hzwoiF9Ze6Amf1H4bgBAwKu7GF17NEbXHg1MdwYYwMZJBejdyK/nXY8zRKoylRPd3cCnAQKcAhDoGogRh0cIrqVN2bbcCltXwNEXSNJonNuwfBGUa0OumSfxJZECnx4Cnl4AKrQ2bmupgzsbOzdgyjMg8jQQYCIRJkEQRDGHrnaIYsGqs5G8aO3L09rh3JQ2cLXj/uC3mnvS6FiPZ3WGnXURuL8j5OAGgAtLgIdHhdtWtATCNgFbh3Lrey0XticIolC4++Yuuu3sxqlrs7UNFlxbgK33t2LAvgFaBzcAhMVx5TOik6M55TdpbzD22Fi0/689RhweIergNtyWK0Z5F/McrNn83ORnnOh7Av92+VfUZmPXjYKJHwGgT6U+ov2+rPOlWWtwsHbg6Ihv7bbVrH5i1PGqg7G1xwLQ6VjLpXKs72TeRT4AjKk9BnW8NHqlm7tu5rV/FfyVYL+vg78WrDeGTCpDQ5+GJpNYiTnlV3fIeaQ9QRAEUfyI37pVmygyZjY/UrnC/n2wctXs8LHyNE/OyhSJ+w9oj6WOGmfz6efcCPLajXvAe9o00THchmft7jLUvlakAXX1roEUqcDru4DSIJLaV6cjzjAM3OW63bsXoy8iKVMXbe4oc4SEkaCRTyPtOYEhgtJi428C3RYAvVaC+Sme12xRDgt7D6BKV16EOCp1ErbPCXInzRy2lu/oIgiCKE4UAU8fQYijVrP47UA4Vp6J5NS72VvD09H4VnB9omZ3Acuyeaehnd9s6K3R1NYn08i+PjphIYgiQ0xqDPrt7WfU5lXKK6PtN2JvoIFPA235s8Of4WH8Q5NzRyVGCUYIG0ZuGyaXNAcPW9PbW0MHhmqPHyc8xqLrizCh7gT4O/kjPj0eR5/yb+BZ8r28qM0ibLu6Db2Ce8Felvukv6NqjcLnNT/P8W+D3EqOdZ3Wif6+lHEsgz6V+uC/+9xEmz4O4pIieUFzv+Y48+IMp85wyzZBEARRslG8fm227ds1a/J8fomjxkk99hjXeSxhJHAbMhhxS5ZA9e4dp63SpYuQOmXpVDv7AbERukZFKuBaljvJ2q7AGK5GNty5O7LepOuSc/8Y+iOnTV++rZFPIyy+sdjk8wIAWFkDwcO0xYalGuLiK00Oi0n1Jpk3hin6rgN+Kw2oMoAvr+XNmARBECUciuQmijRfbLzGc3ADgFRiuUOi0BzccQ+BR8eB7SM1W+lubtY8LCX0L/E2uUuOl0cQRN6y/q75kcBinHp2SnvMsqxZDm4A6LenH74++TVmXpjJifaedpYbMWVM0zmvKO9cHvNazYO/kz8A4M/Wf6J7he4cGzsryzK4u8hd0NS9aY60pcXIi98GY2P81PgnXrR6VbeqItZ5w+8tf+fVGSbCJIiChmEYO4Zh/mEY5h3DMPEMw6xiGEY0KxvDMLUYhjnAMEw0wzAswzDNxGwJguCTfOqUaFuZv//mlCUOxnN15ARTY/r+zv+t0jq4Aa6DG9DkMTKMdk59Azw3SK7YQFh2RAj9xJBO1k68dje5m1njzGw2E419GqNjQEf0q2w80MFsrKyBH2I0gU/uFfJmTIIgiBIOObmJIotCpcb+W8LRjt5O3Cjui1PbCtoBwIL+tfNyWZaR8FwjS7L+QyAsy7G9Y6TmYSknfxNvkzuLtxHEe4pCrcCoo6PwxY0vcDvOcq3onKK/DTanZEtgAECmOtPsfumqdBx+chib723GirAVAIAzz8/g8JPDuV5TXvBrs185shn/df/PiHXJIdvRn00Zp9zpiZvCXmaP7d23a8vzW83P1/kIwkwWAAjKelQCUAXAPCP2mQC2A+huxIYgCD30ZcsyHz4StbNv2oRTLr9jO6dc6qcfUfF8KHKD1NFInqGsNZRetFBb9l9jQlar4ed8JzcAqAwk3HKYp8jRUB4F0EsCaZxS9qWw4oMV+L3l75BbyXM0P0EQBJF7SK6EKLKsOP1YtG3xwLqcsreTHBentkXDWcc49SGfNUTTwELMIB26EFArc9Y3MxWwzopyjDonbjftFVBcZFgIogDZ+2gvzr3QfHZGHR2Fs/3PFsi88RnxeTpGWGyYuKERlt1chjZl2mDMsTG5Xk9eUq9UPdwaequwl1GgtPVvi9IOpfE8+Tkm1J1QIHNWdK343r3ORNElK2J7MICuLMu+zqr7AcAehmG+YlmWlw2XZdlwAOFZtgW5XIIolmy7vw3Tz0+HnZUdQgeIO6hdBw3ifaYk9vaw8vGBMlqTE8ShRQtYMcm5Wo/EzvhuLYZh4NiuHapEhINVq8FI9OLvXt/lGn+4XOO8VglcV+nnKjKQKrEEISd3JddKOR6PIAiCKHjIyU0UKViWxe6bLzF+0w2jdj7O/N2t3k5yRM3ugjfJGZBKGDjKZTmSNclTFGk57xtzF0iJA9QKYPNgYZuOswGZ6E5fgnivuRl7U3uckJFgxDJvOfb0mGkjE+x6tAszm80EAKy6vSrH4/Td25dX17ti7xyPR+QMmUSGfb32IT4j3uytzwRRwqgMQA7gql7dNQC20ER15+xungEMw4wEMBIA/Pz8EBERYaJH3hEXF1eg8xH5T3F7T6dfnA4ASFWm4oc932CIiN27li0QL/C82IlfAVv/A4Lr4kVkKAKOfoaAD2SIu+OAK+UlCDpjfj4kAHh56yCY+zLIIIUCKgDAhx7tzHpNgzY15pQjbGoDWf2CjPRLVzGIMhi/f+n+2PR8E892qP9QzlpYluXZRD+NBmJMLpcoJIrbZ5QwDr2fJY/CeE/JyU0UGZIzlKj+0yGTdn8NqANrK3GlHXcHy07A8hVzHdAtvgH8GwFbPwWynXEXlwO3toj3aTgKaDQ692skiBKKvs5iQaBm1ai1rlaejadQKSCTylDKrhSnfkvXLYhOicauh7tw/NlxrO+0HkMOiF3K8vmu4Xd5tkbCfCSMhBzcRImEYZg1AIYaMfkVQPYJnv4dx+xjvhBuDmFZdgWAFQBQr149NijImDssb4mIiEBBzkfkP8XuPb2oO0w7IX5NValWLUidBaQOg4KAbt2AxGhgXhBSGQbLKtgjIxD419keS24q4ZFo/nLKnv8KAKAop5PsGnF9LcrYegBtpol1A9QqgaWZ9z7I4x/wbMcEjMGmzXwn9zvZO57tT9Kf8PP5nwFoEm43q9kMMonMrLmJgqfYfUYJo9D7WfIojPeUNLmJIsNv+8NN2ng4WKN7Ld8CWE0eoFIANzeatusXArT5HghsB3jrJSMTc3B3+l2TgKTTnLxZJ0HkAXFpcTj25BhSFamFvRQAwJu0N9gQvoFT9+uFXzlalXnN7EuzeXVja4812S9bf/vPVn9y6l+mvAQAONno/D/ty7ZHFfcqaOPfBgvaLMCtobdQ26u22Wv0sPWAjbQI3QgkCKIk8AUATyOPWQCykxXoe9ayjy1wmxEEIYTh+U3/U+LnO4xcTzP61S3g7J+aPELZ7P0KaQyDhgFlsNrFCf86a2Q85vSRmr0er1qaj/VhO27AgadKDZz+n/HO9w+aPY85CMmQABA8f+pTqQ+O9jmKb+t/i1UdVpGDmyAIophBkdxEkSHk4lOTNru/aFYAK8kjdn0BpJuQSLB2AIK66MpPz5seV9+eIAqRm7E3cTH6IhbfWKy9uGrq1xTL2i3L9djv0t/BVe6a4/6ttrTi1W26twmb7m3Cib4n4GGb91r9GyP4N7U6lesEK4kVFlxbAABo5NMIF6IvcGzWdVonOF7XHV0BcCPSG/k0ErQ92fek4HM25J8O/5i0IQiCsASWZZMBGBXvZRjmHoB0AHUBHM+qrgMgDcD9fF0gQbwHGAYZOBlRTGSsrTUHykxgWda11dHpmiAaALh/QOvY1ueJN4MB30phpQKUUmDj//gR19lkB2N/7e3JqZdnS4KwrHhOoct/iy8eAL6NBA7/ANzYYNwuCyuJFQYEDeCdp31Q9gNBe297bwypav4OOYIgCKLoQJHcRJGmWy1fnPm2NaJmd0HU7C7wdSlG+tNh/G1xPD45wD3Bq/ah6T527jlfE0HkEamKVIw+MhoLry/kRA9lJ3rMDT+c+wEtNrfAL+d/4bWlKdPw28XfMPvSbKQr03E46jBGHRmF0JfiCZYMabOlTY7Wdf/dfdRYWwM11tbA/Xdcn0x8erxgH197X3xW4zMsb78c81vNx4r2K3BtyDWtbMWvzX41OW+aUnel6mXnJWjjbuuOI32OoEeFHqIRS0f6HEE553Im5yMIgshrWJZNA7ABwAyGYbwYhvECMAPAOqGkkwDAaJAzDJMddmqdVTY/nJQg3hOSFeYnidQmnYy5w21QZmoP57sJBxqopAwyrBmopMbzHsldFcYXkWFkA0cFg/O03ga5SezcgJ6LjY9vwNSGU3l1zjYCki0EQRBEsYYiuYkiQ5sgLxyP4Gb2WDigTiGtJpfEC0Sl+zcBnho44nxqcsu9VgJ3dhgfWyY33k4QBcD1mOtIUiQJtrEsq7uAspBMVSZ2PtwJANhyfwsm1Z/EiWTecm8L/o34V3usUGsuos69PIfrQ67DSmKFuLQ4o3Ow4CcWEuNR/CPsfrQbtla2WB62XFvfe3dv3Bp6S1vWT3KZTdfyXSGTara5NvFtoq2XMTKc6HsCSZlJFl9giTm5AaCUfSnMbDYTmapMBG8I5rRdGnSpwDXKCYIgDBgPYBF0kdvbAHyV3cgwzFQAg1iWrZZVVRZApF7/7Ky+nwBYk68rJYhiRooixeI+KokVlAxgk31alB4POHjhvixnEh1/dZNg3B417Dwz4OCbYdw4PQGQG5wDqRSax+HvdXVuFYBqvcxfxPexok0dvDvg0GuNVvlPjX8yf0yCIAii2EBObqJIEJOUznNwj25VoZBWkwdsH8mvG7wNmOWjK0ut+TZS0n0jigfGNAojEyNR3rl8jsaNSeV+DzxJfIIgN12yirlX5mqPsx3c2fx++Xd81/A79N3T1+Q8z5Oeo7RjaaM2aco09NzVU7R94smJqOddDz0De/Kc3HOaz0Hn8p1F+0oYiaCDe2DQQK0TX4hKrpWMrhkArAW+W8jBTRBEYcOybCqAT7MeQu2zoNHvzi5HAcjZHVOCeM9IyuQGHiTJAUfBPRIa7r29hz6HBgIB/hiYkITv3r4D0uIBBy9E2AhcowgQXhqooiflfba6BGerMbgV9UZbVzkjE/eyxuuXqLfG9ESNZMmjY8DbSOD5FeFdsGoFIBHZfP7lNWBhXc1xn9VAdePO8E/LfoqG5RtCqVaiR2APs54jQRAEUbwguRKiSNDg12Oc8v9618S3HSoX0mqMwLLAhWXA2m5AlBFZBiFtbWs7blnMSRjUNefrI4gCQqlWiratuyOsMX30yVGt3EeNtTVwKfoSpz0hIwGdtnfi1M25ZH6C1X8j/kWNtTUQmyYexZPN9gfbjbar1Co0CGlg1ObIkyP47dJvaPhvQ6y8tZLTZszBbYyPKn1ktN1KQvemCYIgCILgYhjJrdIT9XH8QKc9nZ10ss+ePtq6f50doQC0EiIX5eYlqF7UTTfJ7oZZ96MYBpl6NlK93XM9kvTWePZP4NlFYENvYP8kcZlHod2x2bhXAH54A0yOMungBjQBBh9V+ggDggZQQkmCIIgSCjm5iUInLZOftKRmGeccyx3kG6/vAj+7AAcnA5GngTWdgbgHwraGjqjsrXPNvtLVjRZxkndfyC3XHqw7biAQIU4QhcDbjLeibdsebAPLciVBWJbFVye/4tQNPzycU262iZ9Y9srrK9rjTFUmr90cFtVaxKvbFGFcM9/QaV1QBDgHiLYNrjJYtM0Y+pHwBEEQBEGUPM695F5XyPVOmby+mQT7Zs1g36wZKp48Idj/lo0NcHUNoEjHbkcHs+aMdWEQPjAJ33wqxYY2Oof3UlfdTrUMves5G/1zw9v/Af90MD3JqLPG26VWgG3OE5UTBEEQJQsKCSMKndBHfP1cF1vztskVGFfXAnvG8esX1QP6GjirM5IB/SjXnksBq6zn0/YnoGoPwNkfsBdJIGnnpstuDmiSwDh6A5kpQJvvhfsQRAHzLv2d0fYURQocrHUXSe22tjNqf+31NdG2JTeW4GXyS6hY/g0xc/CWe2N5u+X4/Ojn2rqaXjUFbU8/P42xx8bmaJ5scqPzaCxSe3Tt0WaPMzF4IuZdnQcA+K7BdzleD0EQBEEQRZ/1d9drjxk1C7meopvM1xf+fxu/eZ8qYYDr601ea8yJiYOLWo1vPN1RTqFEN3USfvLmOpn/dnHG+Heaa5lH1rprOjlrfk4UAIBPbaBUDcv6EARBEO815OQmCp3oBL5gnJejedvk8pRXt4En54AaH2kczfoIObizCNrSlOuUvriMa+BTS3fMMICvhck0rayBtj9a1ocg8hlD7UdDEjITtE7u6ORoxKTFCNop1ArIJDIMPThUdKylN5fmeJ2XBl3Ck4dP0MSvCWY1m4WpZ6cCAM694N6cSshIEIwkzwktS7fMVf/Pa36uTXJ5qt8ppCvT4WnnadHW2gFBAyC3ksNd7o663nVztR6CIAiCIIo+jJrF5jncgAC1tQSMVCrSQ4c24vqPyqjl442bWZIlg6sMxobwDQAAH6USnVNSAQCnnr7QOhJGxCdgpQs3z4hi2ivIZLbAWp2T2sZSJ7eTr2X2BEEQxHsPObmJQmf2gQhOedvoJpBICliqJPY+sKyp5vjCUmD8jZyP9fI6t+xSNudjEUQRxZST+/7b+/Bz8APLsphyZoqo3YqwFehXuV9eLw8AsLXbVk7CxVL2pTjtGaoM2EhtwLJsnjm4AcDD1iNX/T+v9Tlqe9VGgFMA3ORupjsIILeSY0DQgFytgyAIgiCI4kPdR3wnMitRAtFhgHc1QKJxdgsFD6TryYrYsmrtcYvSLeAmd0NYbBjGXdiordd3IgyPT+Q5uaPTYuEt8ebU2TFWACzYldfwc9M2BEEQBKFHkdXkZhhGyjDM7wzDxDIMk8QwzDaGYQQ9BwzDNGcY5hrDMG8ZhknIOjadfYIoEiRncBPYBZctYF21jGRgcX1d+V0kt10lnmBPy/klgCIrIl1tcPJmY56uHUEUJ/Sd3D83+Rm/t/yd0/5jqGb3waRTk3AtRlyKZNnNZbj/7n6O1jC14VTYWtnCy9aL12YlseJpUVf3qM4pf3nsSwDAfw/+MzrP3g/3goF5N96WtVuW63wCMokMzfyaobRj6VyNQxAEQRBEyUeh0miTeMXz22LlEkStag0sqK2tW3JjCc/uO093bHW0BwAkSnQuAplEhhE1R2Bh24Wo2PNvTfBOky+BHos1BhXawv4n/sRJiiReQITjh8ste2K+tBONIAiCsIyiHMk9BUAPAA0BvAHwD4D1ADoJ2N4D8CGA7PTLzQEcZBgmmGXZ8AJYKyFCfGomUjJV8HOx5dSFXHyKyt6OaBPEdU59UNXbcIj856KAFEJyDOCQtbboG6bHOPQdkPQS+GAmYOuSl6sjiCLJrke7tMcOMge0K9sO3+AbbV18RjxYlsXhJ4dNjvX5EW6kzqYum/Ai+QW+PvW1aJ/pjaejd6Xe+KjSRwCAOut1MkBTGkzBoCqDeH30o7oB4Hz0edRYa1rrsaxTWYQNDYNKrcKb9Ddou7WtoN2MJjPQ1K+pyfEIgiAIgiDygv2P92PymckAALXAPfZ0a2CapztCop8Cj09hD5soOA7LMJjh4Y4ZHtycQbYyvXOnaj01j2zq6BJi/9X6L4w7oZN3fJ3yGnZWdtqyv6M/UKW7+U8MAGwcLbMnCIIg3nuKbCQ3gJEA5rAs+5hl2QQA3wLoyDBMgKEhy7IxLMs+YVmWBcAAUEPz3AILcsEEl9P3Y1F7xhE0nX0ci44/0NbPP/oAvx+6h8/WXcHlqLecPl9/UDlvF5EYDewYBRz7BRDTgYt7wK+bWxFYGKw53vYZv11IVzt0IXB7O3BTt5UPXf6wfM0EUcRhDT5LyYpkSBgJ/v7gb059QkYCDBlfdzysJcYTy1bzqIZ6peoZtWkf0B6AJmLbSmKFnoE9tW0DgwaK9hOK+jbG2f5ntcdSiRSetp6itvprIAiCIAiCyC/uvLmD4PXBWgc3AE6yyWz8Y4CwLH1trOuuzU1iLoYBAmK0KtOKU/75/M9IUaRoy/Yye61cilkEttfkMiIIgiAICyiSkdwMwzgD8AdwNbuOZdlHDMMkAqgJIEqkXzwAe2ie12kAgiGEDMOMhMaJDj8/P0RERAiZ5QtxcXEFOl9hcetVGr45+FJbnnv4Ppp7KXDrVTrWhEZr66ds5coYsPEvEBGfd+sov6cXrFNeAABeqNyQ5M+PwPROU0NQIOXNQ9y/eREVkl5D/5RMaeOKx43+h0rb2/P7/PcJp/jiXRqS3oP3uyTxvnxGc0NUShSnzLxjEBERAWdw9Rh3XN0BD2sPxGXGaesaShuibp26GHpVONHklxW+1L7+ZWzL4FnaM55Nb9/eePn4JV5C9x0zyH0Qejr3hJ3UDvfu3ePY67+ng/0GY97DeSaf46dlP0WnUp0QHRmNaERz2v5X/X+Yc38Ouvt0Rx2XOrjw9gIauDbgzUvkD/QZLXnQe0oQBGEZ446NQ6Y6k1PX/YKaZ5fbiDZbqXlObkOptrfpb/lObgBoMg4I/Ut8oO9jgFe3Ad/ali6VIAiCIIqmkxuAU9ZfwzDAeL02HizLujAMYwONpEllAIJiyizLrgCwAgDq1avHBgUFCZnlCxERESjI+QqDjZee4ruDj3j1PTZE8uoi33FPzvL0tXn7GMhycAOAX+hU4AN+ZClupIkOUcmVBeoMBC7rIlStJoWjkswWkG0ANg8W7QsAfoE1gfIl+/0uabwPn9Hc8s/pfzjlDxt8qCtc1B0aOpN39dyF8s7lNYWrEKRZlWYIcte8/nsq7cGnhz7VanrPazUP7csK3Fwygf57WkFVwaiT215mj3b+7fBVs69EbYIQhE7BOuWs1mht8ZqInEOf0ZIHvacEQRCWEZMWwymXfc3CMV3cPtxahqBMgVBvE5gbyS1Ecmay9ljr5G73s7iTe+wlwMoGKB2c4zkJgiCI95ui6uTOzlLhbFDvAkBYSCwLlmUzAOxkGGY/NE5xCzNcELkhJjEd322/VdjL0HBzk3l2KbHibf90AErrJaXsuRTI1qaTu5ge272CeWsgiGKEh61gDmCTGJP6yKaqe1XtsVQixdpOa5GUmQSVWgUXcz5zJpBJZVjSdgnGHBsj2H5h4IVcz0EQBEEQBFGQ1H0kLMt4vKYmwnpUKS8cfvZC0MYYHE1uC5l9ebb22EaaJZkikQD9NwKbBmjKo84Bd3cBZRoCnnksW0kQBEG8dxRJTW6WZeOhSSKpTanMMEx5aKK4w8wcxgpAxTxfHGGUn/fezXFfd3vjOr0Ww/K37AmSLhDdrc/zy3oFva149iYcfdV6Ac6lzVsDQRQA4W/CoVQLbnCxiI3hOt35dv7tOG1lHMuI9nO01iUQmt54utnzOVo75omDO5vmpZvjuwbf5dl4BEEQBEEQBYVCzY/I9n4n7OTe2Epzuf9WKkUSw730P/LUtNPbVB4VfbqW78opv0p5pT3mJCIP6gx8G6mRJilVHWgzDajIPZ8kCIIgiJxQJJ3cWawAMJlhmHIMwzgBmAPgEMuyUYaGDMP0ZhimBsMwVgzDyBmGGQGgDYBDBbtkYl9YtGkjEVZ8nMdb01RcKRT4NxG203dyf37G+JhSme7YqwoQ1FXc9qPVxsciiAKkxtoa6Lu3L+qsrwOFyvLtqiq1CpdfXUZMagyUrM5RnqpM5dh1COhg1ni9K/Xm1R3pc8TideWUgVUG4tbQW/i9xe/auh3ddxTY/ARBEARBEJaw7f42fH/2exx9cpTX9sCXq4l9qA6Dz7+QIsFeV58s0V36l1Eo4KlSmZzTUGvbGBPqThBt87H34VbYuWmkSQiCIAgiDynKTu7ZAPYAuAzgBQApgMEAwDDMIIZhkvVsfQBsh0ae5CWATwEMYFm24DwmRK5xtpWZNrIEQ7mSzCRhu3Q9BRzXAKDux+JjVjdwzPUPwf1e/BNNfJXziHaCyGsyVBmccpcdXSweY/jh4fj00Kdou5WbvHVI1SGccv/K/c0e86fGP2mPK7pWhLedt8Xryi0dy3XEtcHXcHXwVQS6Bhb4/ARBEARBEKa49/Yepp+fjl2PduHb09/y2iUGgdyZfgq8c+Q6qFP0nNwOahZSAPtexYvO2crTsgAkb3tvWEmE1VCnNpxq0VgEQRAEkROKrJObZVkVy7KTWJb1YFnWkWXZXizLxmW1hbAs66Bnu4hl2YosyzqwLOvGsmxjlmW3Ft7qiZxQwdPBtJElJL/mll8JaIWrFEB25m9GAlg7AA1Hi48pEM2gtnbkR3Q7+1m4WILIP0JfhHLK0SnReJ70HKmKVOx6uIvnBM+GZVncf3cfJ56ewNXXwpkiDSNzvO29se/DfTy7Wc1m8er6VOqDiwMvYnHbxVjXcZ1F0UJ5iUwqg7U0j+WSCIIgCIIg8ojtD7YL1nu/ZVHnoRqO6dxzqLHJ8TzbJInOxkGtkXX0//wcKrvytbCnvHmLhZ0s35XqLncXrK/tWdvisQiCIAjCUoqsk5so+Vz9vh0qejlAwgCHv2qRtw4uMTkG1iDMIeG5XptakwzFuyoE+Wit+Hxd5+uOPYPMWiJBFBSGkiIA0Gl7JzT8tyG+P/c96m2oJ6jV/fetv9F7d2+MOzFOdGxnG8P8wIC/kz9qetbk1HWr0E2wv53MDi1Kt4CDdR7f5CIIgiAIgigh/BvxL6/OKYXF/FUsvtuqRv9TXOkRO69MLHkVw6lL5kRyZ+UucvHHvXf3OHY9kpIxKDFZMLjHFD82/lGw3k5mZ/FYBEEQBGEp5OQm8pWhjcsi8rfOeDyrM9Z92kBb372WL9wdbHD4qxZ4+GtnVPJ2NDJKDkh9I1yfHs8tn50nbDf2Er+uYnvx+Rw8gS+uAB+uAD47ZtYSCSK/UbNqbLm3Bf+7/D+TtldeX+HV/XX9L5P9hJzcADAxeKL2OMApwOQ4BEEQBEEQhPl0vKqGVKnm1Uus1WAkgF31jzj1YTY6DWwHtS7wZ0X7FRy7EfGJgHvOJNxqedYSrJdJ8liWkiAIgiAEEBbNIogc8PuhCG65T018VK8MAE0gQPOKHviha1U8f5eKsa0Ds+qZnAQJmCbqrHB9+B6u5va1dcJ2Qid21vbG5/SoqHkQRBHh1LNT+OXCL2bZPk96rslukAVruOtBBLGLlmDvYOzovgOPEh6hfVkjN4gIgiAIgiAIo9T1qotrMdc4dT5vhW1L1UkAANTp8AcQUk9bv9rFSXusZgDYewIAGvs21tZLGQnKtpgC1BqYo3WKyb8VliQdQRAE8X5BTm4iz1h84hGnnO3gzoZhGAxvVq5gFrNtuHD97i+BRyeAjwQ05qr20B1LpNw2O4+8WxtBFBBzLs8x2/bn8z+jT6U+2vK2B9tyPX+gayAlcyQIgiAIgsgl7rZ8res3TgKGAKydlICzPyRWNsIGAB7LZEAznRzdraG3kJCRILpDz1xsrWxz1Z8gCIIgcgPJlRB5glLF3ypXZLmzHVCr+brdjb/klptP0h2P40ZOEERxQCyhpDn8fP5nkzbdK3TP8fgEQRAEQRBEzlGLBEfbuCgAW+POanu1GrD34tTl1sGdzeK2i/NkHIIgCIKwFHJyE3lCbHLOnWl5BssCeycC/6tg2jbtHfAuiltnmHCy7Q/AxAjgx7eAPG9O+giiIIlLizPbVkxD0Rg1PGpY3IcgCIIgCILQwwyJuAfvHnDsXZJZ9Lwg3E8iBSB3AQA08mkkaPNJQiJg52rpSs2iRekW2PvhXm25Q0CHfJmHIAiCIAwhuRIiTwiPTuSUlw0OLvhFPDgMXFnFr//sGPB3W25dRiIQsZdbJ6S57eTDryOIEoi9TPf/b64ed9/KffNrOQRBEARBECWfIz8BV1cDracBDT8XNEkPD4fn5cd4U4bBqgUq88bNCtD5ss6XuBB9gdfcLC1d6wjPD8o6lcXvLX7HvXf3MLjK4HybhyAIgiD0ISc3kSc8jEnWHvu52KJj9VIFv4iwLcL1fsHA9ARgul409rV1wNl5ujJFahMlEMMkRWf7n0WzTc0EbUNfhmqP77+7L2gzqd4kKNQKXIq+hN+a/wYJQ5uBCIIgCIIgckTqW+DcfM3xgW8Fndzp9+4j8sNe+MbMIb1qaZJOIivRo34Qgz4SIN+vfzqW64iO5Trm6xwEQRAEoQ85uYk84WV8uvZ4WJOAgps4IwmwcdQcO5cWthHK5q3v4AaA9IS8XRdBFDIqtYrj4N7abSucbZxRz7serry+Itjn4buHCHQNxMaIjZz660OuQ6FWaJMJfVbjs/xbOEEQBEEQxPtAejy3zLK865bIHj0sGtK9SormQKpJOmkjFU8+CTt+MkuCIAiCKM5QGB6RJ6wJjdIeu9jJ8neyd1FA/FPg9O/Ab2WAzVlb4O4fyvmYwcPyYmUEUWQ4EHWAU3aydgIALGm3BMvbL8fqDqvxV+u/ODZzLs8BAFR15+rTW0mstA5ugiAIgiAIIg94eYNbVqQBafHAhaXAk1Dg6pqcj126PgDAw9aD1/TNm3eaA9v80eQmCIIgiMKCIrmJXKFS87V7Y5LyKQklywI/u/Drw/cAu8YCseH8tsHbzBu74ehcLY0gihq3425zyg7WDgAAWytbNPFtAgBQqpUcm2zNRkYviqipb9P8XCZBEARBEMT7ycHvuOXHJ4FNAzhVEqtSUCvNi0uzcVHoCllSJHIrOSo5l8f9hMcAgH3PXsJfmXX+J7TblSAIgiCKMeTkJnLM32ceY+Y+vmM53/S4zy0Qb7u+Qbi+jF5G8ZEngRWt+DZe1QCvoNysjCCKHI7WjtyyzJFnYyXh/wS8TH6JVEWqtlzOuVzeL44gCIIgCOI9RhUfD7x9Dam1XqWMu2uOZWG2g9vWPRP+beL0Kly0h9u6bEbk//zgrlLBSSBAiSAIgiBKCuTkJnKMkIMbACp4OuTPhE/OWd7HRm8tvnWEbWLu5Gw9BFGEcZBxP4eMSLTOivYrMPLISG25w7YOaF+2vbZMMiVFG7Vajbi4OMTHx0OlUhX2cgoEhUKB8HDh3x+ieJLT91QqlcLFxQUeHh6QSEiBjyCI4kH63buI7NsPDFsKAe1jIXfJiqxOfs2xUyvNi7QO7P4KMjs1t1I/qaRMjnIK7u491Bli6bIJgiAIoshDTm4iR6gLOgrg5ibgwWHz7b95DNgLJFNpPQ048Su37pMDfDuCKOb8ceUP7fEn1T8RtQv2DubVHXlyRHt8/uV5jKs7Lm8XR+QZz58/B8MwCAgIgEwmE72ZUZJIS0uDrS3dfClJ5OQ9ZVkWCoUCr1+/xvPnz+Hv759PqyMIgshbInv1BgCwYPD8jBsCu8VoGnZ8zrFTZ5q+eWdlq+I7uAFAYLceh9qDzForQRAEQRQnKOyFsJiIV4kY9PdFwbZ6ZfMhgUl6Iu+kzyRCDm4AaD4JGLJDV7Z1A8o2yfnaCCKfSVWkYu7luZh3dR4yVZlQqBW4EXMDmapMo/1Y6G5Erb69WtTOmrNPlk91j+qWLZgoUFJSUuDn5wdra+v3wsFNENkwDANra2v4+fkhJSWlsJdDEAQhzH+fAksaaxJJAkg6eZLTrEgRd0a/vW9vcviy+hIl+pg4v0PZxibHJgiCIIjiBkVyExbTcf4Z0baFA0UkQXLDq1t5N5ZEAlRoA/wUDyTHAI7eeTc2QeQDOx7uwNq7awFwndXB3sFY03FNvs9fxysfPtNEnkIyDcT7DP3/EwRRZInYD9zepjle/yHYb5/h+Sjzk92/vWdaAtLaUUSqzNYg8Gj4EWDfRMAvGOg63+w1EARBEERxgpzchEWkK8Q1XztVLwUf53zYQp76Ju/HZBhycBPFgtmXZgvWX319FQkZCXC2cea1qVnuttX9H+7P8fwtSrfIcV+CIAiCIIj3lhdXdMfKdCQeOSJuq0f0FWckPZPz6jOsgFsBDFqmpCE1xho+9RPEB3Etyy2XaQCMOmvW/ARBEARRXCEnN2ERcw5GCNZ/36UKPmtePn8m3UKJUYiiy6P4R5h/dT6qulfF6NrmR+fkBWnKNEEnd0IG96KnjFOZHM/hYJ1PiWQJgiAIgiBKMpmpnCIb81jQTJkuQWqMNexLZSDllQ3iH/JlSo7VYvB3BwlUUgZD3tiBffccjFRk3va/5HblBEEQBFEsoT2ehEWsPhclWJ9jB3dmKqDMEG+PDjM9Rt2h3PLE8JythSBywIQTE3Dy+UksubkEV19fLdC505XpgvXvMt5pj/0dTSdjW/nByjxbE0EQBEEQBAFAYeDkPj5L0OzBzlJ4EeqG52fd8CLUTdDmSkUGKimDE0+fA19eBeNRTnjOOoOBRmNytWyCIAiCKK6Qk5vINeU8TCdFEeT2dmCWDzDTS6O7HfIRsGkQoM6SRAnbAixvzu0T1BUY9B+3rsEIbtnJN2frIYgcEJUYpT0+//J8no275vYajD021qjNo/hHgvXPEp9pj13lppPBNvJphFtDb5GzmyAIgiAIIq8wCORJempc1jE1xka07b6fJrm0x/i7gEwO9FsP2LnzDXssBqS0WZsgCIJ4PyEnN2ERTSpwT6ac5FZYOrhuzgb77xPd8bJmwIPDQMReYEFtTd32Efw+necCFdsD30YCI09pEkh6BgEuWbpzVbrlbC0EkQNYluWUJUzefKXeibuDP67+gdPPTxu1m3BygmD9q5RX2uMMlZGdEgYYypxMDJ5odl+CIEouXbt2xbBhwwp7GQRBEMULg7xCarWInRkk2TEYWXMk4OSjqShVA/hWWP6EIAiCIN5XyMlNmE26QoXQR7qTtU0jG+HmTx8gqJST5YOlvhVvS3gq3pZ9YmfnBvjW1iSQlMo0GcM/Wgv0XGr5Wggih+x5vIdTTlOm5cm4/ff1N9vWMMkkACy8sVB7nJSZZPZYpR1Kc8qNfRub3ZcgigNLlixBuXLlIJfLERwcjDNnzpjdd9asWWAYBl988UU+rpAgCIIoMaTEcoq2bopcDfdFbYHfn2C9oKHS9XM1PkEQBEEUd8jJTZjN7APcpJOOciswDJOzwU7PtbxPrYHibY7eQLWegI1jztZDEBby962/Me3sNE7dmjtrBG0VagVOPTuFF8kvTI7717W/LFpHrXW18DL5JadOPyLbnDmzqeZRjVOu7FrZorUQRFFm8+bNGD9+PKZOnYrr16+jSZMm6NSpE54+NXJjNYsLFy5g5cqVqFmzZgGs1HIyMzMLewkEQRCEIdE3OEVVZs6umxZ1lWBSvUnC112tpwEVPwDKNASG7MjR+ARBEARRUiAnN2E2a0KjOOUybnY5H+zCYuPtOwW0iLtb5vwjiPxkwbUFgvXRydG8uoXXFuKL41+gz+4+gpHV2+5vQ5ONTfDjuR+x8pblutgdtnUQbXOytmynxa2ht3Bx4EXcGnor5zexCMJM1qxZgzp16sDOzg5OTk5o1KgRlEplvsw1b948DBs2DCNGjECVKlWwcOFC+Pj4YOlS4zuAEhISMGjQIKxatQqurqY17g1Zvnw5vL29ec9r4MCB6NGjBwDg9OnTaNSoERwcHODs7IyGDRvi9u3bomO2atUKo0ePxqRJk+Dp6YmmTZsCAA4ePIjmzZvD1dUVbm5u6NChA8LDwzn9xowZg6lTp8LDwwNeXl6YNGkS1Hp76FNTUzFs2DA4ODjA29sbs2bxE6VlZGRgwoQJ8Pb2hlwuR6NGjXD27FnBNX799ddwc3ODp6cnFixYgIyMDIwdOxYuLi7w9/fH+vXrLX5NCYIgijxJr3hVqsycXXpX7Dccg6oMEm508AQGbQWGH6ZgH4IgCOK9h7JSEDnGSS7Lv8FvbODXSfNxPoKwgBRFimhbz109cXHQRU7d6jurAQDJimTseLADH1f7WNumUqsw/fx0AMCOh+IROO382yHQNRDLbi4zuT4pI4WK1SRw/bHxjybtDbGT5eIGFlHoBEzZV2hzR83uYrbtnj17MH78eCxbtgxNmjRBSkoKHjx4ACsr4VOTWbNmCTpc9Tlw4ACaN2/Oq8/MzMTVq1cxadIkTv0HH3yA0NBQo2OOHDkSffr0QZs2bTBjxgwTz4pP3759MW7cOBw9ehQdO3YEAKSkpGDXrl1Ys2YNlEolevTogeHDhyMkJAQKhQLXrl2DVCo1Ou6GDRswcuRInDlzRpsfICUlBRMmTEDNmjWRlpaGmTNnolu3brh79y6sra0BACEhIRg/fjxCQ0Nx48YNDBw4EMHBwRgwYAAAYNKkSThy5Ai2bdsGPz8//Pzzzzh9+jR69eqlnfvbb7/Fli1b8M8//6B8+fKYN28eOnbsiAcPHsDHx0drFxISgokTJ+LixYvYvXs3JkyYgIMHD6Jjx464cuUK1q5di88++wxNmjRBhQoVLH5tCYIgiizRYbyq5Be6xJPPa2Wi9E1rk8M8LAVMqE85UgiCIAjCHMjJTZiFQpWLTCmGGCTrM4vgYXk3P0HkAjWrRqN/G4m2pypTtcd/XfuLF5kdlx7HKe9+tNuseb9v9D3kVnI4yhzx+5Xfee2Xoi+hgU8DANA6uAGgilsVs8YniIImIiICZcqUQYcOHeDm5gYAqFq1qqj9qFGj0LdvX6Snp0Mulwva+Pn5CdbHxcVBpVLB29ubU+/t7Y2jR4+Kzrly5Uo8fPgwV9HGrq6u6Ny5M0JCQrRO7h07dsDKygrdunVDYmIi4uPj0a1bN62jNygoyOS45cqVwx9//MGp6927N6e8evVqODk54dKlS2jWrBkAzWuc7ayvVKkSVq5ciWPHjmHAgAFITk7GqlWr8M8//6BDhw7aMUqX1un1p6SkYOnSpfj777/RpYvmpsayZctw/PhxLF68GDNnztTaVqtWDdOnTwcATJw4EbNnz4ZMJsP48eMBAD/++CPmzJmDixcvkpObIIiSxctrumOZPTLepHOaT7jJMQTGr6/OVGUQ0lqCbvmxPoIgCIIogZBcCWEWcckZnPKeL5rlfLD7By3v03F2zucjiDwk/G24aSMATxKfCEqPrL69Gjsf7kRCRgLqbaiHH0PNi7R2k7vBXmbPiQLXZ/jh4QAApZorieBs42zW+ARR0AwfPhxyuRzu7u5wcHAwKs8BAG5ubggMDESFChUQGBgo+LC1tTU6hqEED8uyorI89+7dw9SpUxESEqKNgs4pgwcPxs6dO5GaqrkJFhISgj59+kAul8PNzQ3Dhg1Dhw4d0KVLF8ybNw/Pnj0zOWZwcDCv7tGjRxg4cCAqVKgAJycneHt7Q61Wc3THDXXFfX19ERMTo+2fmZmJxo11SWcdHBxQo0YNzhwKhUIrkQIAUqkUjRs3xt27dzlj68/FMAy8vLw4Y8lkMri6umrnJwiCKO6wKhUUr18DJ3/TVSpSoOrI3Yl3o7xpSbiFPaR460TScQRBECWVqLgUTP4vDFuvmD73Z1kWSem5S2D8PkCR3IRZvE3hJrWqUToXjrPYCNM2hsiMOy6I4s+xp8cQEh6C3hV7o0t58yUPLMWYU8sc+u/tb9LmUNQhyKXCkaYA8MO5H8yaq7p7ddx+cxvL2i3jrPmbet8IRnNvvb8VM85z5RQcZA5mzUWUHCyRDCkslEolBgwYgLp162LZsmVwcXFBuXLljPbJjVyJh4cHpFIpXr3iaqTGxMTworuzOX/+POLi4lC9enVtnUqlwunTp7Fs2TKkpKTAxsbG6Hqy6dq1K6ysrLBr1y60bdsWR48exeHDh7Xtq1ev1kp57N69G9OmTcPOnTu10dRC2Nvb8+q6desGPz8/LF++HH5+frCyskLVqlU5iSllMq70F8MwWk1u1oydVtk2Qt+jhnVCcxmbnyAIojijSk7G/Xr1AQBWtt4oFZwAZZoEzm0bQKni6mXHOgNffybFwBNqpNoAze9yv3/31dN8nzb2aQyCIAiiZPLR8vOITcrA5ivP4Ci3QsfqPoJ2iekK1JyuuXb4pWd1DGlUtiCXWawgJzdhFgmpujtGDcq55W6wRL3EfOVbAY9PGrev9mHu5iOKPCzLYsKJCQCAy68uo13ZdrCRmuc8soSZF2Zi873NaF+2Pea1mmdx/7+uCSc/nVx/MuZcnqMtTzo1STxBkJncGHIDUomwJu/H1T7GgcgDuP2GG/lq6OAGIDoGQRQmO3bswJ07d3Do0CGz++RGrsTa2hrBwcE4cuQIPvroI239kSNHeBIf2fTs2RP16tXj1H3yySeoWLEipk6dalF0t42NDfr06YOQkBDExcWhVKlSaNmyJcemVq1aqFWrFiZPnoxOnTph7dq1Rp3chrx58wbh4eFYvHgxWrduDQC4du2aRYk8AwMDIZPJcOHCBZQvXx6ARp7k9u3bWjmRwMBAWFtb4+zZs1oblUqF8+fPY+DAgWbPRRAEUdJ4/sWX2mNlmhTPz2qumR6Xc4R8yfecLdTpNgyeeQJz+kphm8Gi+V0VZ6zLlTRO7p+a/JTv6yYIgihIMpQqnH0Qh5qlXeDpmPfX/MWJ2CSdYsKoDdfweFZnSCT8nafZDm4A+GHnbXJyG4Gc3IRZJKTpnNwutrlMAJmqp0lca6BpJ3fLybmbjyjypCnTOOXY1FiUdiwtYq35or/z5g687bzhaedp1hwqtQqb720GABx5cgSxqbFm981GSH7Ez8EPg6sO5ji5ASAkPMSisQ0x5Zze2HUjkjOT0XgjRfgQxY+MjAzExMRg7dq1aNmyJVJTU3H+/Hn0799fMEIZ0MiVuLm5IS0tzaQsiRATJ07EkCFD0KBBAzRt2hTLli3Dy5cvMWrUKK3NokWLsGjRIkRERMDFxQUuLi6cMezt7eHm5saJ7jaXwYMHo127doiMjMTAgQMhkWjcHZGRkVi+fDm6d+8OPz8/PH78GGFhYRg9erRF47u6usLDwwMrV65EmTJl8OLFC3zzzTeiiTyFcHBwwPDhwzF58mR4enrC19cXM2bMgEqlc77Y29tj9OjRmDJlCjw8PFCuXDn8+eefeP36NcaMGWPRmgmCIIoEKiVw4FvNNUrHOYCTcCSdMViWReqFC4Jtdv9dNdo3XeCeqVKqcXL42vtavBaCIIiiTOPfjmuVAu7P7ARrK1JRzuZNSibP8X/6QZyINSEE/TcRZvE2VbfV2cUuy8md9BqY7qx53PjX/MH0I7kdPIEvrgLugYBrgLC9R2XLF0wUK67HXOeUl95cKmp7MfoihhwYggH7BqDT9k6ISzP9pf/g3QMsubmEUzf5TN7cPNnabWuejJMT7GXCzkCCKOr0798f48aNww8//IDKlSujdevW2Lt3r6iDOy/o168f5s+fj5kzZ6J27do4e/Ys9u/fj7JldZEQcXFxuHfvnkXjrlmzBgzDICoqyqhdixYt4Ofnh7t372Lw4MHaejs7O9y/fx8fffQRKlWqhKFDh2LQoEGYPNmy7yiJRILNmzcjLCwM1atXx9ixY/HLL7+YLamSzdy5c9G6dWt8+OGHaN26NapXr44WLVpwbObMmYO+ffvik08+Qe3atREWFoaDBw/Cx8dyxxBBEEShc/I34Moq4O4uYGkT4PD3QOJLi4ZIOXs2x9OXdvLn1T3LisPIjcQeQRBEUSNTqeZI4Z66H1uIq8kf1GoWq85GYsHRB0jN5O+ozFSqNTdGBdouR73l1V14/IZX99Ou24iMS8mbBRugUBVvGcEiG8nNMIwUwGwAwwDIARwG8DnLsjyPFsMwnQFMAlATgBTAbQBTWZY9U2ALLuFM26GTRfByzNom/kclncHO0ZrH52cAn6xEU3EPAWc/vp52kt5Jo3MZwCMQ+DIrwmH3OODaWl37x7sACd2LKcmsDFuJv65zZUB2P9qNX5v9yrM99ewUvjj+hbacocrA0htL8UNjcY3rFEUKPj7wMZIVyZz6y68uQ82qIWFy/v91a+gt7fH27tvRa3evHI+VE0xd+HQM6FhAKyEIy7CyssLcuXMxd+7cAp13zJgxRqONp0+fjunTp4u2nzx5klcXGRmJqlWronRp8d0nAEQd4d7e3ti+fbvRvuasAwDatGnDS+CZnKz77hPqt2bNGk7Z3t4e69atw7p160Tnt7Gxwfz58zF//nyL1iiUXPTVq1dIS0vj1RMEQRQYZ/R+i9LeAqELgTePgTqmk4On3biBjKgoRE/5LsfT/9X6LyjQjTuuDYP+lU3ngSEIgihOVPr+AKdsJSl5N/L2347GL3s1ydhfJaahrr8rvvkvDAAwpVMQlpx4CG8nOXrW4cssjgm5hqMTWyLQS5dXSy2QM2ft+SdYe/5Jnudi+uvYAyw68RAfNyqLCe0rYV/YS1TzdUZ1v1zk5CtgiqyTG8AUAD0ANATwBsA/ANYD6CRg6wpgIYATAJIBjABwgGGYKizLmk5TShgl0SCDq5WUATKShY2XNwemJwDnFwOHpgJOpTUObJmefmraO92xnTu3f/e/NA/ivcHQwW0MfQd3NmFxYUb7XHl1hefgzub089NoVaaV2fPrs7PHTk65omtFo/bV3asjNi0Wr1Nfc+oHBA2AlJGiU7lOmHd1Hu6/u485zeeIjGIZQjcKCILIW/bv349FixZZJAtCEARBFHHu7TPp5M549AhR/QdYPPTqdroAi42+nRHoGohwA5vT/U7DVe5q8dgEQRDFCZXadNLz4sZv+yO0xxsvPcPGSzqX5OwDmrbE9GT8fkh492j/Fedx5ts2sLXWyJdGxopHbKcrVJDL8i4H17wj9wEAf5+NxN9nI7X1V79vB3eH4qGfXpRDZEcCmMOy7GOWZRMAfAugI8MwAYaGLMuGsCy7g2XZeJZllSzLLgWQBqCeoS1hOeM26qQkrKHAyOffAb8JJ/cCADy7rHFwA0Dic+DmRl2bSgGkJ+jK8uJzR4jIe27F3hJtM9TpFiPibQRuxNwQbY/PiBdt++rkV2bNAQDDDw3nlC2RCvml6S9Y8cEKHOp9CPs/3M9pm9pwKiY3mIyanjWxpuManO53Gs1LNzd77DP9xDesWEvNT4xHEETOuHz5sjbRI0EQ4jAMY8cwzD8Mw7xjGCaeYZhVDMOICuwzDPMxwzChWfZxDMMcYBimRkGumSDEYFkWj7t0zVHfx6V0kYvW5dsCALynTdPWlf03hBzcBEGUOFiBiGT93G8lhRfxuduhGJeciR3XX2jLd14mitqmZapE2ywlXSE+Vp9l5/NsnvymSIYdMQzjDMAfgDZLB8uyjxiGSYRGkiTKRP+aANyhkS0Rah8JjRMdfn5+iIiIEDLLF+Li4gp0vrzg5D2dTtJEq/9gF3XUeIdV7TjFmKf38NYhArYx1+F7/kdkp61U2rji4f0Hebzagqc4vqdFhYEXB4q2/Xr8Vwz21+nWZqozRW2HHBiCrQ2FtbHvvrgr2k+pVuLq7auwt9I4rFWsCuefnUeiIhFOMiet3dPUp7j06hKn74vIF4i3iufUNXdvjjNv+E7nIGUQXjzW/VAtr7McKcoUlLErkyf/Oy09WuJU3CltWS6RY17NefR/mUVJ/owqFIr3TupBqVS+d8+5pJPb91ShUJTYz3gJYwGAoKwHC2AngHkAxLKsOgL4CUAoACWAHwEcZhimPMuy9CVA5A1PhZNFAgAEHDLZKGNicjylfqLJBBs7AIDbkMFwGzJYpAdBEETx58Q9/vdmtmqAkAO8qJC9toLMkfDT7tsY2NAfLMsadZrfjU5E00CPPJnzWLj471p+6X/nB0XSyQ0g27uUYFAfr9cmCMMwXgD+A/A/lmUFPagsy64AsAIA6tWrxwYFBeVqsZYQERGBgpwvt2g+0I+05VFWeywew8vTE15BQcCmhpx6q4x3xeq1EKO4vadFioviTdeTr2Nm0Extecu9LUaHMnwPWJbFmGNjcPaF8URAw68Nxzf1v0GHgA5YfnM5NkVvAqKBs/3PwtlGs9Pg8LXDvH61qtaClYT7FTq/4nz8ceUP/BuhS8Q6pOqQfP//6C7vjlOndE7uTd02oYJLhXydszhRkj+j4eHhsLUVDYQskaSlpb13z7mkk9v3VCaTldjPeEkhK2J7MICuLMu+zqr7AcAehmG+Ylk23bAPy7KLDcaYBWAqNE7y64b2BJEjTohLu0kyxaPnFM9yroiZrKfiWNOnfo7HIQiCKE58uuYKr+7Mgzjcep6A0w9iMaqeK4ra6VxMYjoGrLyAR7EpGN+2Ir5qX8mofV456xUqzThnHvBSEnJ49jY1T+YDgDcpGUbbj9x9jfZVvfNsvvyiqDq5k7L+GmpZuAAQPdtgGMYXwBFoklTmPPsHoSXiVZJpI1O8uAaki58kEu8fCRkJuP/uvlGbp0lPOeVfLvxi0RwXoi+YdHADmujt2Zdm48yLMzj34py2vtmmZtrEkitvreT1M3RwAxp5kO8afocpDaZg071NkEvl6BnY06J15wQHawdO2dfBN9/nJAiCIAgLqAxNIvmrenXXANgCqATAeIINDW0BpAJ4KGZAuzUJS3Fxb4xSkacF26R3tiHCRlhakf1ePOm5KZL17uk9vv+4QKMD32foM1ryoPe0+HM8Qhc9PPPkazQL0Lyfm8Pe4cqLVAyr64Zq3oUX3DLvbAweZWliLzj2AJ6SZNTzsxO1j4jl3bPPMREREThzJ96ozd3IF4hwyhtH95MX74y2/7L7JspI/C0aszA+o0XSyc2ybDzDME8B1AVwAwAYhikPTRS34Elwllb3MQA7WJadVDArLfmMDbnGKSdbucJBafyfn0fEXuBOe359aYpcKKnEp8fjj6t/oLlfc3wQ8AGn7VXKK7T/T+D/wQgKlWmtLpVaBalEl3QhLJb/VeFj74P/uv+Hphub8tr0HdzZPHj3wGRCSSEYhsGAIMsTEeWU2p61tcducjfYWlGUK0EQBFEwMAyzBsBQIya/AjiUday/SzP72Oguzaw5KgH4G8DXLMuKRmDQbk3CYhI9RZsq3F8ODPyfYFt4VFSOp8yQ6Y6rVKmS43EIy6DPaMmjOL+nGUoVFCoWDjZF0iWXL1hbRSJTqTZq4+YXgLcpmVh9TaMm8OOx17gzo6NF86QrVLCxkuTJDcTj6x5zyt8fiUbU7C6i9mdiHgN4IdouRqCXAx7GJHPqfAMqoEZGLHD5jWi/ddffYka/xhbPJ4TrywcA3oq2d6vjb/HnrTA+o0U58eQKAJMZhinHMIwTgDkADrEsG2VoyDBMEICzADaSgzvveP4uFY8NtHdkpevyDV3LAV9e49frs2c8v67z3FysjijKNN/cHDsf7sTXp77G5VeXtfWhL0NFHdzzWs0THU8oeeT1IdydyguuL+CUM1T87Taja42Gk7UTyjuXN7Z8Lb1290Kmiq8FPqPJDLP6FxR2Mjvs/XAvfmn6C/Z8aLmkEEEQBEHkgi8AeBp5zILwLs3sY6Pb/RiGqQrgBIC5LMsuy7tlEwQAhYkIODXfIZMWZs7GA2HOf9kCoMhtgnivufMyAZW/P4jqPx3C4hOim5NKHA0C3EzafLM1DNefxmvLKRYmVtx+7TmCfjiIct/tN5pI0VzKuIlHbQthI8uZi/XoxJaY05ubW7v5nBPYclknjWVjJcGG4Q0Nu+aZREqqidc6JYPb/jAmCX+feYzohKKVJqUoO7lnA9gD4DI0t0Kk0Gj5gWGYQQzD6N/mmAzAD8AEhmGS9R6DCnrRJYn1F57w6myUAtch428A7jnQ//WsbHkfosgTk8pNWPDpoU8BALdib+HzI5+L9mtftj02ddkk2KZiuV+oqzus5smFrL69mlMWkhhp5tcMADAxeKLoOgwJ3hDMLXsHF4gEiaWUdSqLnoE94WRtMiCOIAiCIPIMlmWTWZaNM/JIBXAPQDo0uzSzqQMgDYCofhnDMHUBnAQwm2VZ4ZBagsgNmSaSab3kBlUo373DkyEfi5rfKsvgjw/FL7Hbf/y9RcsjCKLk0eUvnaTm74fuFeJK8p8R664gYMo+BEzZh6QMpUn7U/djERHN9TlFvDJf+nbilpva46AfDpq/UBGEEi4mpitw4l4M0gScwrFJxnWtjdGykhennJCmwNmHOk3udlW90ayiB75oHcix+/tMZI7n1MeUk3tNaJT2WKFSo92805i5LxyNfzuO6bvv5Mka8oIi6+RmWVbFsuwklmU9WJZ1ZFm2F8uycVltISzLOujZfsKyLMOyrIPBI6TwnkHxR63m3hFaPLAukBavq6g1EBh3I2eDD9kByEhSoSQRlxaHGmtroO3WtoLtA/cPFO37eU2N87uqe1VO/cvklwCAVCU3yqZeqXpG1yJ0N9PVxhWedpotqWnKnN9t/L3F76SdSBAEQRAWwLJsGoANAGYwDOOVlSh+BoB1QkknAYBhmKbQSBF+z7LswoJbLfFeYcrJncpN+pW4Zw/YDHEnxi8DJLhXWvg8MWDzJpRxLIMJdSegtmdt/P3B3xYvlyAIorjAsiyO3H2tLd98Fm9Wv7XnucGWn6+/KmLJn8+QfWHRZvUVw85ayqurOf0wPll9GR8u4cqdXnv6DguP6yLz+9Urg641fQAAgxr6Y+XHGh9GuyreCJ3SBtZSjTt2XFuNPKqD3Lh0jSorGWWP2tz8W7MOhFvylEQRctqLYXhzZk1oFJ68MfF7WkAUWSc3Ufi42ltrj/0Qiy7P5gJvHugM2v4IuJXTlXuvMm/gXiuBCm3yaJVEUeH3y7+Ltl17bVzOxtHaEQB4zuMB+zS61nsf7RXsF+jCvYuZ/cP2KP4Rz/ZQn0Pa4/qlcq4H7yJ3yXFfgiAIgniPGQ9N1Hb24x6Ar7IbGYaZyjCMfijQTGgkTeYZ7NRsXpCLJko4puRKEl9yiikXLxm3ZxjEOzDYW59BZpa/wsrLC2X//Re2tWoBAIbXGI71ndejoQ9/2zlBEERxRKXmO5j35NLBnM2TN+YlVkxM40eKj/1X3A8htGZD6vi7iLZFvEriBIb2WhLKafdwtMaigXURNbsLfv2wBtpX9UbU7C74e2g9+LrYYtcXTbF4YF2Mba1RRTClz94k0B0AUNbdnlM/orlOipVlWVx4/Aa/HQjH41iuxrcY2TrpqWbIu2T7W1acfsxre52Y8yj2vMToq8gwjPheLANYll2X++UQRYn/HdTdndnvPAe4zD3Jg60Lt1yjDxDQDPjDhAxJ9T55s0CiSLE/cr9o29CDxvJRAR62HoL1b9PfQqVWCUqPAMD27ttRc11NbTlNmQY7mR2+P8fdCnpx4EVOMkZ3W3ej6zGGTCIzbUQQBEEQRZjCOMfPki35NOsh1D4LGv3u7HLrvJiXIIySqec86bEYqDMYmK4nHX9uPlDvE6QqUnHs6TFUsuNH9Qmxrp0U69qyuOU/AGzrqbQLkCAIUbZcfoY2Vbzg4WBT2EuxmAylCpW/18iCjGlVAT1q++Fo+Gs42Fhhg4D8bU6oH+Bqlt3hu6/MHvPArWh8uy0M9QPcsGpoPdHvaEMdakMUajVsJMK/CzZWxn8vqvg4oYoPV2p075fN0HXhWUH7fvXLAACsrSToWK0UDt7RPN/T92MxtXMVxCVnoN7Mo1r7M/fjsH+88biAwKn7ocxy1Ler4mXUFgDiUxVwtbeGm7013qZwc5el5YEGel5gKpXrYoOyNQAZgOwMHBIACgAZAMjJXYIw3HrhnPGSbyQkN+JYCpj2CojYB9zbD9zexm0vVQOQ0AaCgiA2NRaucleednVRpKZHTdG22utri7YxDAMvOy+tDvi7jHfY+3gv7rzhakLZySxLGOEmd8PbdH5m4eyIc4IgCIIo5tA5PkEAQLhewm7rLDVMRgpk54N5FwUAmHp2Ko49PYbPnqvwgZlDT3obDwTakYObIN4jktIViIpLRXU/J7M/+99uC0MVHyccMOGQLIr8rhcYueTkIyw5yd9RnVsuR71DwJR9AIDPW5bHlI5BvNdWoVLjm//MTwo8OkQT4X08IgYn7sWgTZC3oF2KCR3xuy8TUcdf2Al/6M4rrRSJuZT3tBdt03eaR+lJg0S80uT2/lpPjxwA7kYb1zJ/lZCudXADwNHwGJ7NqJYVsOfmS7yI18i91vnlCDwcbNA00AN7bnJ9hAlpCqPzFRRGvY1ZWtiOLMs6AugPIAxAcwDyrEdzADcAiIvtEsWOJ29SOBltbZApbiyEzFYT1Z0Sy29LeJG7xRFG2fFgB2qsrYEaa2ugzdY26L6zOzJU+b9tJDHT/GQQQrjZ6jIttyzd0qhtPW+uHrdcKtce73iwA79c+MWsOQdXGQwAsGKsMLrWaACAnZUdQuqH4F36O8E+w6oNM2tsgiCIkkLXrl0xbNiwwl4GkcfQOT5BZKHQ0xBNzrrA77FIV1eqJh7FP8Kxp8dEh3CvmgRrJwUudOaecw9NTAJk4g4LgiBKBqvPReLLjdfx4HUS2v5xCt0WncVfxx4K2ipUasH68OhEKEXaijJ/n81Z0sNhTQK0xxU87eFqZ95u6eWnHgsm6/x0zWVBey9H09HxD2PEZT1MObmNSZ5kO4YtQW4i+jsbewFpk1P3+f63KIHEmdm8STHuJ2pRyRNftgnk2cUlZ+DQbX7UfLFwchswF8A4lmXPsSyrzHqcAzABwB/5sjqiUNh46RmnPN5qe84GqtyFX5fGj44l8o4fQ3/klJ8lPUO9DfVQY20NnHl+xmT/d+nvsP7uelyKNqE3aMDG8I0W2etTx6sO7Kx0kdYjao4waa/P06Sn2uPlYcvNnnds7bGY2nAqVnywAmNqj8HFgRdxYeAFWEuswYL/Y1XVvSp6BvY0e3yCIIoeS5YsQbly5SCXyxEcHIwzZ8S/F3/77TfUr18fTk5O8PT0RLdu3XD79u0CXC1BFBh0jk8QAJCUpR/rVkFXJ7VGz109tUVrA3+Hf4cYeNVMQoXOscjw113gD0jQRNZBJgdBEMWP0/djsfTkI7xLMR7wd+jOK/y85y723HyJ9n+eRkySxiH459H7gvb3sqJuhXidVDQ0jYWIeJWIxSce4tlbjcSTWs3iv6vPczzeT92qYliTADSv6IE9XzbDuSnm52wzjBZPV6hw5kGcoG2MwGsaa1B3IkIgOBMa/emXCYK5sbVkS3ScFZh/4YA6vDpTSCTmRf/3q1eGU553RPj/7bcD4YLOb0AjPSLGsa9bYt2nDWBvY4V0Bf/mS6bBDZkuNX1Qu7SLiVUXDJY4uQMACN0GSAXgnyerIQodlmWx7BT3S2OM1e6cDVb/M36d/kkjUaCMOTbGaPvDdw/RYnML/O/y/zD88HDce8u/QyrG3sfcxJBXBxvPgDyixghcGnQJS9stxbJ2yzjbjWp51kJjn8aifb+o84XZ6wKAfR/uE6x3sHbAgKAB2iSUdjLddtJ/OvzDs9/UZRO87EzrVBEEUTTZvHkzxo8fj6lTp+L69eto0qQJOnXqhKdPnwranzx5EmPGjEFoaCiOHz8OKysrtGvXDm/fFq2btZmZFu62Igg+AaBzfIIAymftJrRx0NVlciP8ZHpO7jNVGWwJsEWNcv6oUc4fi11dtG1u6iy5k4ScO4EIoiB5FJuMU/djzUrGVxQ4eS8GQ7Y+QZPfjiHseXyejv3sbSo+XXMZcw5G4H+HIkTtlCo1Pl9v/LrXkAcx4k7ufWECErEi7A17iYazjmLajltQqVmcuBdjdqJBS1Gq1Og4/wx+P3QPzf93AgDw1/EHmLT1pome4jAMg+ndq2H98Iaws7aCnbUVOlXKmTRo/xUXjLanZuq+uNMyVVhykhtlf/7xG8F+puQ+AGDhcc1Yg1dd5NT/2LUqmlf0NNlfiLDpfFEsmZTr/C7typUO/uvYA8GxDt15jaH/XMKZB3xH964b4ioLTnLz85Dt/bIZFg+sixqlnU0bFwCWOLkvAviLYRi/7Iqs4z8BGP+vIooN5x4Kf8B5VO1h2kZqBQQP49YFG09ASOQcpdr4VhpTfLj7Q065zx7zE4Smq7h3OK2l1qK23St0x7i642BrZYtmfs0E9bKnNZom2NfbzhsShvu11cinkdG1+TtZfn1ev1R9nOh7AhODJ2Jo1aH4r9t/pKdIEPnAmjVrUKdOHdjZ2cHJyQmNGjWCUpm77zIx5s2bh2HDhmHEiBGoUqUKFi5cCB8fHyxdulTQ/tChQ/jkk09QvXp11KhRA+vXr0dsbCzOnTsnaC/E8uXL4e3tzXtOAwcORI8emt/R06dPo1GjRnBwcICzszMaNmxoNGK8VatWGD16NCZNmgRPT080bdoUAHDw4EE0b94crq6ucHNzQ4cOHRAeHs7pN2bMGEydOhUeHh7w8vLCpEmToFbrIjFSU1MxbNgwODg4wNvbG7NmzeLNn5GRgQkTJsDb2xtyuRyNGjXC2bPcBDnZa/z666/h5uYGT09PLFiwABkZGRg7dixcXFzg7++P9evXm/1aEvkKneMTBACUyTqntNY5udMzufd/9CO5LwQxmOcmrMXqmP3dangtRBBFkJfxaejw52kM/ecS/smh/ERBM2z1ZcSmKPEyIR3dF53Dpci3CJiyDwFT9uHEPb62sCVsv/ZCq1VsuMtdn+WnH1s8tqONuPNw1n5xh7ohX/x7Ha8TMxBy8Sm++e8mPll9GW3+OIWAKfvQZ2moyf4rTz/G4L8vYl9YNDotOINJW2+KyqVEG0QzT9xyA/OPCjtVzWHfuGaC9eMae8LFTNmSbNIVKtx4Fm/UpuqPh8Cymvezy8IzWH0uimez5YrufVapWTyMSca7FNPyG5ci3/IiwwHg02blTPYVw0kuw6lvWnHqdo5tyinXLWteMs5shqy6hJfxaUjOUOKLf6+h+6Kz2HJF/Cash4POn9OwnJuoHQCL37P8xpKMdJ8B2AEgimGYbJe/H4B7AHrm8bqIQsJwW83H0kPChn1WmzdgtwVA0wnAvq81SSkbGY8mJnJOdEq0SRs1q+Y5iXOLSq3CqxS+JtMHZT/A4SeHefUyiekvQVe58Jf269TXvLrvG32Prju6Ctof6HXA5FxieNh64JPqn+S4P0EUGtML8S769ASzTffs2YPx48dj2bJlaNKkCVJSUvDgwQNYWQmfmsyaNUvQ6arPgQMH0Lw5P2lPZmYmrl69ikmTJnHqP/jgA4SGmr4QAICkpCSo1Wq4upp/Utm3b1+MGzcOR48eRceOHQEAKSkp2LVrF9asWQOlUokePXpg+PDhCAkJgUKhwLVr1yCVGtfj27BhA0aOHIkzZ85oT9pTUlIwYcIE1KxZE2lpaZg5cya6deuGu3fvwtpac6IaEhKC8ePHIzQ0FDdu3MDAgQMRHByMAQMGAAAmTZqEI0eOYNu2bfDz88PPP/+M06dPo1evXtq5v/32W2zZsgX//PMPypcvj3nz5qFjx4548OABfHx8tHYhISGYOHEiLl68iN27d2PChAk4ePAgOnbsiCtXrmDt2rX47LPP0LZtW4teUyJfoHN84v1EpX8DkgGssrRb9ZzceyXpAHQRc/qR3JlGrqS9lFmR3E6+uV8nQeQzC48/1Dp1f90fjhEtyhfyiiyn7/Lz2uNPVl9G1GwB6VQz0Y/8BTSR3WXc+IFZQtrQpkjKMO44TUhTwNlW+Ho5U6mGTMrwnKrbr3Ejcq88eYew5/GoKSIfERmXgl/3awIhzj7UyGyERyeigqcDRrfi77y//5obfW44n6VU8xW+VmEYBosG1OVFRRvj5D1hKQ5DNl56hnSFCo9jhTWqv/0vDB2qloKznQwVpu43e34Aub6pIoS3E1fqqrI3N8rdxspyn06T2cfNttUP8BvWJAAXI8V3stpbW+JWzn8sWc1LAHUBtAYQBIABcBfAUTb7Coso9lx9wk24N0O2lmtQvjUwZAdgSVSrWzlgSA51vQmzuR1nWiv2esx1BHsH5+m8G8I3cMrZkh6TG0zGjZgbiEnjfun3D+pvckxHmflblRxkDoL1/Sr3Q2nH0maPQxBEwRIREYEyZcqgQ4cOcHPTRAhUrVpV1H7UqFHo27cv0tPTIZcLa5z6+fkJ1sfFxUGlUsHbm5s53dvbG0ePHjVrvePHj0ft2rXRuLG4nJIhrq6u6Ny5M0JCQrRO7h07dsDKygrdunVDYmIi4uPj0a1bN1SooLmoCAoKMjluuXLl8McfXKnk3r17c8qrV6+Gk5MTLl26hGbNNBEzVatWxYwZMwAAlSpVwsqVK3Hs2DEMGDAAycnJWLVqFf755x906NBBO0bp0rrv0ZSUFCxduhR///03unTRXDwuW7YMx48fx+LFizFz5kytbbVq1TB9+nQAwMSJEzF79mzIZDKMHz8eAPDjjz9izpw5CA0N1Y5FFBp0jk+8nyj1koLJ7HTXN9a6ZJFJrAL6Tu7akbqPhMLIlbSHSgW0+i6vVkoQ+crO67lzWuaGhDQF1oVG4fbLBJRykuPjJgGo4Cl8fZcXRCek4eDtV2hV2QvlPIQTw6Zn6Sxn881/N7FppPnnf/pz+ThzZSWS0o3vWOy68AzOfMvXp7765C2Gr70CDwcbBJrx+vx78amok/vuS2EZjjkHIwSd3KZ0qS1hy+fGX8dmFT3QvKIHzjyIw+hWFbDUQH87mwylCjZWUtEbAoZM3XHLpM2FyDcwdtpT3sMeQT6OGNMqEF0X6nYxfvtfmFlrsAS5TIq+9Upjy5XnGNq4LKykXKd2Qe4yrxdgPJLb1V58F39hYJaTm2EYKYAEALVYlj0MgB+eSZQ4vPCOX9n+Z8sc3ESBkaIQz5ybjZoVz9gc6BKIh/FcfapMVaZR6REAmHtlLqf8VfBXADTO7sN9DkPJKtFmSxskZmp+TIPcTDtwGIbB/l778cWxL/A4wfg2MCG5E0Aji0IQRNFl+PDh2Lx5M9zd3WFvb48LFy6gevXqovZubm5wc3NDWloabG1tRe2MYXhCyLKsWSeJEydOxNmzZ3H27FmTUdaGDB48GMOGDUNqairs7OwQEhKCPn36QC6XQy6XY9iwYejQoQPatm2Ltm3b4qOPPkKZMmWMjhkczL9Z+ejRI/zwww+4ePEiYmNjoVaroVarOZrjNWvW5PTx9fVFTEyMtn9mZibHie/g4IAaNWpw5lAoFFqJFACQSqVo3Lgx7t69yxlbfy6GYeDl5cUZSyaTwdXVVTs/UTjQOT7xXqPQd3Lr/a5Y2UBzr4dFBvTOnQ2cH6yR3w8ntRqwpV0qRPEgzcCpaykBUzQ5kDrXKIUlg8wPqFKq1Kj1M/dnZ8f1F7j8fTvYWImfb2UnPzRGplINa4Fo11EbruHms3j8fSYSp75pxXMeAsCZh9wkghce5ywfy6l7sejfgCudacrJ/extmmB976WaSPX4VAUexpjW3g70EneE21pbFgXsJM99pO7lae1gay2Fg43psdYPb6g9Hts6ENV/4qsLVP7+IMa3rYjmFT0Ex6jk7YD7ry3TKP98/VX4OIsnCz4+qRUAID7VeD6cS1PbWjSvGP/rUwtTO1eBi13BOpE3j+TKwXo62uCvAXUwbuN1nm2j8sYd4IWBWf+tLMuqGIZ5AqBoueiJPMUwycR82WK+kbxoiMkTfNKVujus/Sv3x6Z7m3g2aUrhH01A2Em+5MYSjK87XtQJFJnA12zrUk4XkSeVSCGFFOcGmK9hm00ZxzKY1WwW+u/TRX7/0OgHnp1cKoe73B1v0rl68jU8avBsCeK9wALJkMJCqVRiwIABqFu3LpYtWwYXFxeUK2dcuy43ciUeHh6QSqV49YorrRQTE8OL7jbkq6++wqZNm3DixAmUL2/59t2uXbvCysoKu3btQtu2bXH06FEcPqy7oFu9erVWymP37t2YNm0adu7cqY2mFsLenh951K1bN/j5+WH58uXw8/ODlZUVqlatyklMKZNxo10YhtFqcpsTsJttI/SbYFgnNJex+YnCgc7xifcahZ6jTD9ogtE4uAFgr4Pu+9bWwK8hUbPQOMP5lFUoAROBIkTRJyYpHR72NpBISm6QV1Sc6UApY2zV0zLef+sV1GrW7NdrlYD+d2K6ErdfJCC4rLjzTCzJnj6xyRnwdrTB74fu4W1KJr7rXAXOtjLczNJvfhGfhleJ6Sjtyg+YEpO0sJQMJf8c54Ge9EfP2r6ITkg3KgUBACEXn1g8d1qm+I2L60/jLRrLlGPekDZBXjgeoQtimNi+EjwdbSwaIxsHGyuMbFEeKwT0zxcce4BT94XlSkY0L49vchBhbag/LoS9CUe9l5O4o9xSjDm4q/g4IVwgOebkjkGYc9B8fXdDGpZ359V1r+ULb0cb9DNI8jmzZ9HzuVhyC+cXALMZhhG+VUIUew7d4V78N5aG843s+P/wRNFAP/mjncwOYR+H4dhHx9C5XGdt/bt0gej8LISc3Ktur8LHBz4WtP/r2l/ovpMbLe1h65GnW2cMo7T7Vu7Ls2EYBsvbL+fUne1/lhJFEkQRZseOHbhz5w5WrFiBevXqITAw0GSE9KhRo3Djxg1cuHABN27cEHzUq1dPsK+1tTWCg4Nx5MgRTv2RI0fQpEkT0TnHjx+Pf//9F8ePHzdLRkQIGxsb9OnTByEhIdi8eTNKlSqFli1bcmxq1aqFyZMn4+TJk2jVqhXWrl0rMpowb968QXh4OKZOnYp27dqhSpUqSEpKsiiJZ2BgIGQyGS5c0J28pqSkcJJgBgYGwtrampNoUqVS4fz580alZogiD53jE+8nYpHcejzRuzk3cx3XaZQpEz/XtAIAZ5LNK64cufsaAVP2ocGvx1B+6n4oRBLylQT6r+DnF/5xl2kZzGwMHYmJ6aaT9b2MT0PvpaH47YCwI27R8YdISBMf574ZkcwJqQrsCXuJ5acfY+vV55i57y5SDLS2kzPMP08ytDXneb5J5ickfPZO971Tu4wLfupWzeQ403aY/35kcynqLeYeuoeHMUm8toXHHwr0EOeVhXIlHauV4pRHNM+dxvtX7Srhz361BAUFhJJOrhpaD32C8+/7VyYQ/Z9NXX+XfJvXkE0GEdcAEDW7Cz5rXi7H6+hfX3w3qdDOCGM7BgoLS/YdTAJQDsALhmGeA+B4xFiWrSnYiyg2GCYUYGAQ1dVlHmBjvlYyUbCk6kWj2FrZaraH23nB3VZ3Y+JazDX0COzB68uyLKe/Pjdib2DD3Q0YXHWwtu7e23tYeWslz7ZDgHjkYU4IcApATc+aCIsNQ++KvUXtKrtVxq2ht8yWHiAIonDJyMhATEwM1q5di5YtWyI1NRXnz59H//79BaOUgdzLlUycOBFDhgxBgwYN0LRpUyxbtgwvX77EqFGjtDaLFi3CokWLEBERgbFjx2L9+vXYuXMnXF1dtVHgDg4OcHCw7IRu8ODBaNeuHSIjIzFw4EBIJJqTxMjISCxfvhzdu3eHn58fHj9+jLCwMIwePdqi8V1dXeHh4YGVK1eiTJkyePHiBb755hvRJJ5CODg4YPjw4Zg8eTI8PT3h6+uLGTNmQKXSOXXs7e0xevRoTJkyBR4eHihXrhz+/PNPvH79GmPGUGLpYgyd4xPvJyl6EYBv+JGhhm7NMlwFAzwQySn5c2zW7kK7oreNmzCNQqXGiHVXOHU/77lTJCMW84JXiXwH5rrzTzCjh7iEnDGev0szKa/w467bvFxg+py4F4s/j9zH9O7CDuCbAo5NQzJVaqw5F6Utb7/2guf4PBERi6BSTibHAoC4pAyO1EaMwOtmyIaLTzHxg8raMsuyHD1sW2spqvqaN7+lnHkQhzMP4rD/djSOf90qV2OdNZBvMYWaZXHs65YIufAUHap5w9baMqk/Q2ytpfiwTmmsO//EZBT6o1mdIc3aSfC/3jXx7ba80cveObapaSMAaz9tkCfzmYOzrQwXp7bF2tAoVPFxQrdamh8lmVSC7WOaQqVmIZUwqCZHSQAA4URJREFUaDfvlFkSNwAws6f4575WaRfYWEm0OxT+7Fcr908iH7DEyf1fvq2CKHRYlsX8o7qTu0rMM65BozFA/eEFvCrCEm7G3tQe21rpHEDO1jqJGTHd7kx1JpSs+J3sOZfncJzc+nPpM7qWZY4ZUzAMgzUd1yAyIRIVXSqaZU8QRNGnf//+uHHjBn744Qe8fv0aLi4uaNKkCYYPz7/fmX79+uHNmzeYOXMmoqOjUb16dezfvx9ly5bV2sTFxeHevXsAgCVLlgAA2rbl6ur99NNP2oSKa9aswSeffILIyEgEBASIzt2iRQv4+fnh7t272LRJJyVlZ2eH+/fv46OPPkJcXBy8vb0xaNAgTJ482aLnJpFIsHnzZowbNw7Vq1dHYGAg/vjjD14ySlPMnTsXKSkp+PDDD2FnZ4cvv/wSKSnc3405c+YAAD755BPEx8ejTp06OHjwIHx8fCyaiyhS0Dk+8X5yXJcsFwJ5a9L1zitdkwQknfTa/3wdiyqZmXBUq+GULQFpXfQi3AjTRMfznZcbLjwtsU5uMV7Ep8HPhR9UkJiuQExiOgK9NMFvXWr4YN+taG27sQjsbI6Gm87HsSY0StTJbW0lQaaAFIg+918lQWUgxWYobXHozivBRItCbLr8DFM66Xb1pRqRA8nmbQpX4yj00RuO/nn5rASS64c3wJBVlwAAXjmU9RDjcWyKRRIyQrYeDsZvWrSv6o0jd19ry4FeDqjg6YAfu+XtLr+YRH5kvD4eDtZaBzcA2NmIO9c3jmiEhuXcUH7qfpPz9qrjh9plXMxao6PcvESYeYW3kxzfdhTebZr9Whyd2FKrmy/G2cmtUcpJLqhRn41EwuDujI6IjEuBg40VShnRLy9MzHZysyz7c34uhChczj/W6RlXY6Kwz2Yq16AmXyaCKDqwLItLry5py69SdNIz5Zx1OreHog5hbktuokgASM40fWcvTZkGuVSO/ZH78cuFX3jtk+pNgrNN3mu2yyQyVHKtlOfjEgRReFhZWWHu3LmYO5f/fZSfjBkzxmjE8fTp07UObHM0qiMjI1G1alWULm18SyTDMIiKiuLVe3t7Y/v27Sbn0efkyZOC9W3atOFIiwBAcrLuu12o35o1azhle3t7rFu3DuvWrROd38bGBvPnz8f8+fMtWqPh2gBoo+PT0sTzRRD5D53jE+8tCS/E2z74FRfO6pzg9gZ+zzcGm1srZyrgpzRweokkRyeKNuY4aUsSHap549Cd17z6H3bexj/D6nPqElIVaP6/40hMV2J2rxro38Cf4+AGTEuAmHN+ZQpTDm4AghG8y09xdZ3FHJcyKQOFirvOZacecZzc71J1/ydNKrjjyzYVMWAlX/rl2tN3qFPGBWkKFcZvusFpc8xK6NiovDskDKBmgZikDGQoVUYTb1pK3+XnsXVUY7MCwj5bd4X3vp95IBzJvXpYfdT1d4WznQyn7sdi+u47aBrojnoB+bOLxUpqfP27v2jGKUtEnu+KIcFoXEGz2/3RrM6oYMLRPbt3yd7Q9luvGoLa9EJIJUyRlCjRx7K0qkSJJTZJd1eM5+AGAEeR/XhEkWBfJPfOXFV33V1TV7npzO76UiV+Dn74Ovhrnk1CRgJOPjuJKWemCI6RHw5ugiCIosz+/fuxaNEii2RBCIIgiCJCVT0JP2+DKN3GYzHe21O064vS3AhXb6EcCJR4slgy/+h9wXpzNJiLI7YyYWeqfuJAQJOgMnjmESRmJSGcsv2WYL9Fxx/inUEEsz4pZkRAGyMhlfs+/NA159HCa0KjMGPPXTx5o9u1lqFU8Rzc2cSn6p5Xkt7/g7OtDI0ruOPwVy14fXotCUXXhWdRZ8YRxBlodPs4ab5HZFIJvPWSFT54rQtSUFqgB79iSLBg/ZUn7/DV5hvaso2etvLNnz7g2Bq+74BwAs27MzqgdZAXnO00kcstK3nixKRW+brj4cU740ERvgY7D8Ruhug7aaVmRLgLaVELMbJF7rTHC4sG5UqWtJbZTm6GYawZhvmZYZj7DMOkMwyj0n/k5yKJ/CH7Q5+Wyb+ryMOmaN+ted/57sx3nHJbf932+tIO3AjDVEUqVGruRzZFqfthl0lkGFptKILcuNte4jPiMe7EONE1iEmhEARBlFQuX76M1q1bF/YyCCJX0Dk+8d5yYbHu2LUst80gAtDWYJd8cKAugXA9x3IQdGc7eudufUShcEzAyQcAj8zUtDWEZVlcjnormACwsGFZFrtuvjTLbuT6K1Cquc7fSVv5Epa3XiTgo+XnRcdadz7K4nXqcznqLafcs3bugvH+OReJbgvPgmVZbLnyDH+fiRS1rT3jiDbSPzVDL2dJllZ3JW9HXJ7WjtfvzstEQUexk60uSCJaL7mjfqLHlAzzfoYXD6yL1kFeou07b2je54uP32jXwjCAk5wfqPEyXuNMTleocDyCG+XfqXophM/oCDvrgg/wKO0qnpOnjBu/TUjv3N3eGuU8uPl//hkmnLgeAAY29Bes/6Aq//t9dEvzpG8Kg7ZG/jf83UrWriNLIrl/ATAUwB/Q5OH4BsBiAG8AULahYoRazSJgyj5U+v4AAqbsQ5UfD5ruRNvtihV2eu+XjwNXJ7Xhvw1Re31tLLmxRFt3M0Z3ghKVGAWGYbCi/QpOv/V31xuds5R9KaPtBEEQBEEUSegcnyBS3xht7v6cq7PqP34SzvY/iz0992B1h9X8Dj9YlqiNKBqo1eJSGj/s4stumcPkbWH4aNl5tJt3GvdfFy1Hd/mp+2GOekhShhL3X/Od/P9dfS5o/zAmGY9idfYv4tOgyIpIPiFwE2Fc24roXZcv/Waoab3y9GN8ZpAU1NlWhu61cufoTkxXYvruO/j2vzD8fuieUdsBKy6AZVlcf6ZLnKmfkNLTAk1tffkQfWd99q6BhDQFHuq9jqWc+BrIC/rXxoHxzdGlpg9kUglMBSb3W6GTVGFZzRqGNOLe5Os4/zQA4KNl5/HpGu7rvXRwcK4TSeYUuciuAwD47UO+pEglb0eMa8vN63VuShuebEubIG/M6c2PQN8/rjl+FUnEuOJjvmPc1b7o7t5pW0X8pqvMiA53ccSSZ9MXwCiWZZcDUAHYxbLsOAA/AWifH4sj8ocLj42fxAlCCf2KDVXcqvDqJAz/o7705lIAQKYqEzMvzuS1G8qc7H602+i8rctQNCNBEARBFEPoHJ94v8hIBg7/wK1r8Q2neP4lNxK14QmuKLd1aT842zgjwDkAsHXhjtVtASAt2ORjRN5wNzpRtO32i8Qc6UlvuaJzBI/beB2Ljj/Ar/vuIjqhcPNRpGWqeA7uMXpJGIPL6q4Fn71NhaW0/eMUAGDV2Ug0nX0cQT8cxIw9d3E56h3PdlybQPzRtxbuzujAqR+/6br2+MHrJPy6P5zX10oqwdTO/OtfS1l7/olZdnejE/HrvnBsvPRMV/eS+3/ToZrpXRzDmgRwyvZ6jvKUDCWO3H2NWj8fRu+lodr6V4n8pKjtq3qjio8uYtmYMzNJRHJnQjuuIzgxXQmFSo1bLxI49WLSNgWFMS3opoHugvUT21fCvnHN0CbIC8e/binqKO9Xnx+xXdXXyaiO+TcdKptYcdGhX/0yqO6n+T9ZNrgufutVA0MalcW9mR0LeWV5jyVObm8Ad7OOkwG4ZB0fBPCBUAeiaKJ/V5UPCzVLDu3ixPTQ6ZzysvbLeDbeduI/doZJJLuW76o99rD1MDn/xYEXcWvoLUFHOkEQBEEQRR46xyfeL0IXAqF/ces8uEnORx4Zaf54EinQNyth74crgOBhuVsfUWRJtVBPOjKOK+cY8SoJcw/fx8ozkZhzICIvl2YxQgk2SznrIoWvPtE5ozdeeprjeX7Zq/l5UalZ/HOOLwVyYlIrWGVFkhpKYJx5EIdeS84hU6nG9afxonOUcpZj3acNcrxGS/n7LPd5XHnClVCpb0bixR8NtMT1ndzJGSqMMIhYB4TlOgwdz/3qlRGds8b0w4L1DgKSJfvConl1aYrCVTD7oWtVuNrJIJfx/Q7GnNHVfJ3xz7D6KO9pXIJXLBGpGJ81L4fynvaQMMDvfYp2ckqphMHeL5sj8rfO6FjdBwMa+OOXntXzNMFpUcESr9RTANl7KB4CyL7N1hhA4d6GJCzCyC4syJEJCWNgUKnk3d0pKYSEh2Dbg22cOkeZI88uOoX/IwUAalaNnQ93cuo6leukPZ7TfI7JNdiRlA1BEARBFGfoHJ94vzg1m19nJ+yUCn6gxpbfBJJKGlK1BzA9AajVL5eLIwoTQ81pQ/aGmdav1kc/UaEh2RrJhcXhu6+Mtus7T6v6OOfLGr7vUoWnj2zItafxqPT9AcSlZPDaulbWRTC3qOSJ8Bnm+S3WfFLf7DU+ntXZpI2rneUyFRIDXRF7a24ktxDlPOwxonk5Tp2hc7edXmT3pA+4N+/EEHJ07r8l7D8oTLyd5Dj/XVtcEtA9zwvMyEHJwcZKiiNftcTlae3wkZGbC0UJYzcDSgqWOLl3AMjOZrcAwM8Mw0QCWAPg7zxeF5GPJArctc3GDno/HtYOwJfXgIGbC2BVhKUkZiZi9iX+SbpMYHvkhLoTBMe4FcfPiu1krTtZsLcWP+mwtbLFv53/NWOlBEEQBEEUYegcnyD0gjayJSkYlsXk//jJ4tw//7zAlkUULPrOxUreDnhk4OCcvvuuYRejpCv4/z95RdjzeIzbeB37wqKRmqlEcoYSz96m8iRVWJbFu5RMpGQo8VpP7mLvTa4TU8IA3WrqdKHTFCrtWNmJCE1hbaG2r42AdMQnTQMEbf93kK+V7e/CdS7bWktx5lvTEpqtKosn4TPE0BkthLMd9/q7jZEkf2LY2+hei61XnwnayGVSfNW+EtoGeaF+gKvocz0wvjmiZnfBF20qCrZn8+9nDbXHe79spj2u5O2Aw3dfC3UpdOQyKZzkMlTy1kVlB5XiB/nlhO/0ZG9m9+JrdAshlTBwdzBfh53If8xOicqy7Hd6x/8xDPMMQFMA91mW3ZsfiyPyhz+O3Bdtc2H0pEwykwH3opsh9n3n1wu/mm37afVPMf/afF794P2DeXVONnpObithJ/eStkvQzK/Ze3EnkCAIgiBKMnSOTxDg5B+KT4pF77Nq9Dsj7KB0HzGioFZFFBCZSjU2X3mGH3bqkkvef50MqYSBvbUUKVkyJZbKNTx5k2K0/fm7VJR2NW9XLMuynGuvQX9fRFK6Ertv8iPCH8/qrHXOjlh3FUfDdQ7LL9sE4usPKqO6nzMuRelkNg5OaMFLnHcp8i0alnfHohMPTa6vfoAr/h3RCBWnHQCg+UgJSaLoI3QlObplBaw+F2VyPgBo7M+/Vi3jZt7r6e1kg9eJ/Ohwfa5+b17E8MT23IhpXxe+rIgp9OVKxNblbm8NO2srrBpmfiT60Ykt0W7eKcG2enqyKt56SS1jkoy/LkWBDZ81RJ+l55GuUOGvAXXyZMx6ZV2x5pP6SEpXolP1UnkyJlHw5FhEl2XZiyzLzqOT3+LFmQexRttnBz0uoJUQlpKmTEPd9XVRY20N7Hm0B/sj95vd1xJnNCeSWybs5Ha2cSYHN0EQBEGUQOgcn3jvsNFJMbAKBV41aCnq4AYAqYNxeQWi+LHj+nOOg1sfD0dulKYlySenbOfvmtXnUuRbo+3Z3H+dhLZ/nELvpaFIyVAiLVOFpHRxGZ1TD2IRl5yBr7fc5Di4AWDhcY3DWl8fu0dtX1Ty5kfD9ltxAS/MiOK+O6MDto5qAplUArcsRznLArV+FtaAzkZIzsXFTOmPAHc7eNqbHbOp5XKW1MWSQcEmbbOfy40fjedg7lTdh1OWy6TYMFwTJd2hmjfKe3K/M5xt+Tuv7axNayObumkgRAVP8e8rmVR3Pe9ub62V64hPFZ7n5o9FJ02Hl6McJye1QuiUNoL/uzmBYRi0quyFbrV8tTrxRPHD7G8FhmHuAzgB4CSAkyzLFj2RHsIkP+/hb7FysLHCtR80X9zWV18A/HwQRBHgr2t/QaHW/OBMPTtV0KZhqYaC9YBGXiRNafokxdFa9yPhYC2cnMHZJn902QiCIAiCKFjoHJ94r0gS0CHupMlB8+bvvxEz948CXhBRFJi8je+M7llbI91hmNgvNVPFiboVQ6kyLVUiNVMEeNzG63gclwLEpaDaT4dM2odceMpzbhtj982XWNBfOBq26ezjRvu2CfLiJIx8myKuQ25IikAiT2sr85yLG0c2QkL0E+G2EY0wYOUFbfnRrM6IepOC8h722kCt4LKuWDqoLkaHXBOdI9vWxc4aY1pVwJKTjwTthN7HZhU9EDW7CwBg9blIjh/m1DetePaBXsaTIgIa57mlGAtM02+TSBjYW1shSUAP/IeuVfFJkwCzpFsKEomEgURwPwDxPmPJ7YnfAdgD+B+A5wzD3GMYZjnDMAMYhvEx0ZcoIhjqFc3rWwvnv2sDayuJ5gfl+npdY92hBbw6whgbwjcYbXeTu+GPVuIn5gvbLIRcKhdtB4BOAZ1gI9VFK9haCW+1cpCZ/hEmCIIgCKJYQOf4xPvDGYFz5Zr9kPH4sVkObq9JX+fDoooe6RbKcuQUlmWRoSyYuSwlO2rWSsp1or0zkkxSn7vRiSZtnrxJNWusiFdJZtllY8rBbRiNPrGdeQkKs6nj74K9XzbD2k8bYOXH9Szqmw3DAAPq+wu2mZKf2PtlM/g4i0uCNK7gjtApbbBqaD3cn9kJUgmDCp4OPIdvWXfzd2V83DhAsP73PjVN9h3UsCyaVHAHACwbXFcwWt1Jzo/uNmRE8/ImbXKDnY2wE314s3JFzsFNEGJYosm9EsBKAGAYJhBAKwDtAayFxllu+V4RosBRGWSM7lW3NNfgVZjuOGIv0P2vAlgVkVu8bL1wsM9ByCTiP44NfRrieN/jGHtsLK7HXOe1n+53Gq5yV7Pmc5MLZ6AnCIIgCKJ4Qef4RIlAkQbc2gq4+APlW4nbXVrBLf/4DpBIkH7njskp7Js0gevHH+duncWA3w9FYPmpxxjcqCymd6+Wb/O8S8lEnV+OAAAmtKuICRY6WvObWy8SAAAjW1TAuI26a6fXielm6WhLzJB2nHfkPsa1NZ4cMD+o/P1BTrm1BYkSJ3cMwod1/FDK2XjwlCFWEgZfta+EdlW8cfZhHCp6OcDfXfh17F7LF80DPbT/H4ZU83USrNfH18XWpDa2n6stbKwkyFCajroXer7nprSBnxn629ZWEvw7opFRG3OcyFXNeN5C/K9PTXz7Xxin7seuVXl29tZWAIq+HjdBGMOik1aGYSQA6kNz8tsGmqQ0L6DZ3kgUAw7c1m3RG9nCxJ1AL/4XH5H/sCyLyIRIlHUqC6lEdze1e4Xu2P1ot2CfDZ03GHVwZ+No7Sjo4AYg6uAeVGUQQsJDOHWkx00QBEHo07VrV3h4eGDNmjWFvRQiB9A5PlGsYVlgQS0gOSt6dcwFwKuKeX0lmo3NyhjjeYsqXbkMqUPJ38nIsiwWn9BIMqwJjcKkDpXhYIY0h7koVWoEZiUm1Gf+0QeoXcYFrSqb72zNLU/fpOJtaiY8HIQ1oNtV8QYAdKvpw3Fy9156Htd/aM9L0mhIioDsQ07Ij6j6TAMpFX096P/1rolvt4UZdtEyulWFHM35WfPyGNs6EABQuZRpDWUh3eps8upa1NlWhvn9amP3zZcY0aI8SjnJ0SRLnqWUk2knvjkObnPxFblp4GZvjbcpmZjcMSjHY/etVwYZChVO3ovFF20CUcHLQTBy/HEcP1HqB1W9czwvQRQGZsuVMAyzD8A7ABsBBGX9rcaybDmWZT/Jp/UReY4ukpuXRMIwiUbbnwpgPYQho46OQo9dPfDxwY+hVCtx8tlJPI5/jISMBEH7Km5V4ONg/m7ir4P52yzP9Dsjaj+lwRROuUv5LmbPRRAEUZRYsmQJypUrB7lcjuDgYJw5I/7dZ26f6dOng2EYzqNUKcrIThQf6ByfKPYsb65zcAPA4e8tHiLm99+Ntr8PDm6AGxAFCCcGzA1CDu5shq2+jDZzTyI2Kf8jSSPjUtBq7gn0XHwOGy48FbQZ1LAsAI1DtUUlT07brP3hJudIyRR2cnesZtk5gqnkjXmBg1x3I6NBOfEdu3u/bGZyrG86VBasr+FnWU6ngpLH6FTDB0sHB6Ouvyt8XWxxdnJr/PGRRtK1IBFy3M/uVQMnv2mFvV82w6iWuZMqGdI4AKuG1Ucdf1dRaZR2Vfg3mcTeT4Ioqliiyd0emr0LBwDsA7CXZVlhpX+iSHDozissP/UISekKIO0dlL8H4Yz1BFRjNJkl5/apxe3w/DK37GwgZULkO0mZSQh9GQoACIsNw7env8WXx79E/339cer5KcE+Q6oOsWiOodX4Wusuchejfc72P4vGPo3RxLcJvqn3jUXzEQRBFAU2b96M8ePHY+rUqbh+/TqaNGmCTp064elT4YtbS/pUrlwZ0dHR2setW/wEVoVNZmbeOiqIEgWd4xPFl5newCuD79yHR8XtS9fXHXdfmD9rKsb8uo/rvE1Kz5toZABQG8hmCvE4LgVfbhRPBJhXzNofjuzlLDslnEywRmmdU/b0fW6k/9arz03Oces5V5N71dB6+HdEQ0zrwt1lcP7RG9ExVGrWLCmN3KIfNR3gIaxT7eFgjepmOKpHNC+PxQPr4tcPq3PqO1W3PADg+y5m7sjIQ0q72qF3cGlBp7O+Vvj/epvW4s4t/Rv4w0kuQ3U/5wLZSS2UUNXdwUbAkiCKLpY4uZ0BDIQm0mMCNIlpbjEM8xfDMB/mx+KInBMenYjP11/Fbwci8NexB8CcAFilRKOMJBb7bKahFvMQthkG2/JWteeWnSjXUEGz6PoiTvnIE40OWZoyTcgcABDsHWzRHAzD4OLAi/B39IeVxAp/tvrTZB9nG2es+GAFlrdfDndbd4vmIwiCEGPNmjWoU6cO7Ozs4OTkhEaNGkGpzLsLan3mzZuHYcOGYcSIEahSpQoWLlwIHx8fLF26NNd9rKysUKpUKe3D09NTZERhli9fDm9vb95zHzhwIHr06AEAOH36NBo1agQHBwc4OzujYcOGuH37tuiYrVq1wujRozFp0iR4enqiadOmAICDBw+iefPmcHV1hZubGzp06IDw8HBOvzFjxmDq1Knw8PCAl5cXJk2aBLVad5GdmpqKYcOGwcHBAd7e3pg1axZv/oyMDEyYMAHe3t6Qy+Vo1KgRzp49y1vf119/DT8/P3h6emLBggXIyMjA2LFj4eLiAn9/f6xfv543NpHn0Dk+UTxRZgLKdOG2K6uF6zP1Ev351AYAsCK/O69cNH+9p03L2fqKEQ9jkhH0wwHeTt9Hscl5Mv6VqLdmRyRfePw2T+Y0RnZSSUNsZVJ83qI8Dk1okes5/jx6n1NuW8UbTSp4oLQrV+JiT9hL0THuvBTeyStEWRF9a3OwseImHLw4tS3PxliEtz7WVhJ0qemDQQ3LYtvoxhjRvByOTmyRo8jsz5qX58mGFIaGeTbda/ni4a+d8GhWZ/StX6bQ1pFf2FnzndxOckrLQRQvLEk8mQbgaNYjOzHNNACjAYwFIJyKlSgUZu67qz3ecCYc0wwknnbZ/Ags+A2YEAY4eAGvTSdbIfKf/ZH7LbL/odEP8HXwtXgeO5kddvfcjVRlKhytTWuiEQRRfKixtkahzX1rqPkRzHv27MH48eOxbNkyNGnSBCkpKXjw4AGsrIRPTWbNmiXoTNXnwIEDaN68Oa8+MzMTV69exaRJkzj1H3zwAUJDQwXHsqTP48eP4efnB2trazRs2BCzZs1C+fLmbyvt27cvxo0bh6NHj6Jjx44AgJSUFOzatQtr1qyBUqlEjx49MHz4cISEhEChUODatWuQSo2fem3YsAEjR47EmTNnwGZJkqWkpGDChAmoWbMm0tLSMHPmTHTr1g13796FtbVGXzQkJATjx49HaGgobty4gYEDByI4OBgDBgwAAEyaNAlHjhzBtm3b4Ofnh59//hmnT59Gr169tHN/++232LJlC/755x+UL18e8+bNQ8eOHfHgwQP4+Pho55k4cSJOnTqFw4cPY8KECTh48CA6duyIK1euYO3atfjss8/Qtm1b+Ppa/ltHmAed4xPFlj3jxNv2TgDqCajtKPQ0Z601EavKN3yn6tq2Ehyox+BK52OQeZdsTVq1mkW7ecI7Rr/ZGoauNXP//dtn2XmL7N+mZMLNhOZ1brgUKexIT1Oo8F1nfvTw4Eb+grImLMvizstE2FlLUd7TPEkbw4jcG0/jwbKsYKQuA/Mcw8OaBGB692r4bO0VHA1/zWkb0qgsvuschE2XnmHG3rsiI3DxFtCj3n/rlYClcYLLuiG4rHnOcTGS0rk3JEzmFctnrKSWxIlaxvBm5bDqrGbX/Xedcq7BnVP0tdmzyc/nSxD5gdlOboZhvKBJRtM6628lADEAtgE4kdcLYxhGCmA2gGEA5AAOA/icZdk4AVs/AEsA1AbgD2AIy7Ib8npNxYlzD3XbnkZbCScrhDINOP070Pl3YGkTblv1Pvm4OkKM+Ix4i+z7Vu6b47mkEik5uAmCKDQiIiJQpkwZdOjQAW5umgugqlXFEx6PGjUKffv2RXp6OuRy4eQ8fn5+gvVxcXFQqVTwNnBUeHt74+hR4W3t5vZp2LAh1qxZg6CgIMTExGDmzJlo0qQJ7ty5A3d383a+uLq6onPnzggJCdE6uXfs2AErKyt069YNiYmJiI+PR7du3VChgibhU1CQ6YufcuXK4Y8//uDU9e7dm1NevXo1nJyccOnSJTRrptHarFq1KmbMmAEAqFSpElauXIljx45hwIABSE5OxqpVq/DPP/+gQ4cO2jFKl9ZJnKWkpGDp0qX4+++/0aWLJo/DsmXLcPz4cSxevBgzZ84EAFSrVg3Tp09HWloaqlevjtmzZ0Mmk2H8+PEAgB9//BFz5sxBaGgo+vSh85L8oqDP8QkiT2BZ4OZGy/vpR3JnO7lfc513r1yAg8EM6rjVK/EObgB4nSQSDQ+N01etZgtMHzmbZnOO487PHQQdvzFJ6XC0kcFWwCFnDjnRGReKcL3w+A3Cnsdj1v4IAMDyIcHokKW3rTBI7GhjJe4ovBudiGZzTuDcFL4GdGK6cMQ5APi72cHaSoJfelRH4wqa841RLcvznNyjW1WAnbUVPm1WzmwnNwB0rlEqR47tvCYlk5t4My8ToRY1vu9SBUGlHCGXSdGtVsHf3JfLuP+nY3KYZJQgChNLbsu8AjAfgCuABdAkpPFhWbY/y7LL82FtUwD0ANAQQPaVk9ieVTU0TvCBAEwLZJVwDDMw95KeFbEEcGkFoBA4sSGNukLB1sq8DM37PtyHsI/Fs14TBEEUdYYPHw65XA53d3c4ODgYld4AADc3NwQGBqJChQoIDAwUfNjaGv8ONbxYFoucsqRPp06d0LdvX9SsWRPt2rXD3r17oVarsXbtWqPjGjJ48GDs3LkTqakaB0xISAj69OkDuVwONzc3DBs2DB06dECXLl0wb948PHv2zOSYwcF8OatHjx5h4MCBqFChApycnODt7Q21Ws3RGa9Zk6sz6evri5iYGG3/zMxMNG7cWNvu4OCAGjV0OwgePXoEhUKhlUgBAKlUisaNG+PuXd0Ftv48DMPAy8uLM45MJoOrq6t2biLfKOhzfILIPWFbTNs8v8KvU+g5uWUaeYdXv/7KMRk32goqKQMnmVNuVlhsSDahu305KnfyIQdvW+4oTc1U4Wg4/7s/YMo+NPj1GKr8eBC3npsv5aHP2xRxJ7evs/BN9A/r8G+iT999B78fuqctZ0fgAsDZB9y4vK/aV+KUWxoksnwRn4aouBQYkigiqwIAp79tjaMTW2od3AAEHf8udjq97WFNAnjtQskGAeDrD7gJBwvD6QoA8/vV1h5X8SnZn0mGYfBRvTKF9lpHRCdxyuce8uJLCaLIY8ltsKosy0bk20r4jAQwg2XZxwDAMMy3AB4yDBPAsmyUviHLstEAFmfZqQwHet8IucjdShWqqoa+VsJb0AAAG3rz66xzrulF6Ljz5g5OPTuFbuW7oYyTad2uAKcAhL81na3b38k/L5ZHEEQJxBLJkMJCqVRiwIABqFu3LpYtWwYXFxeUK1fOaJ/cyJV4eHhAKpXi1SvuhXZMTAwvUjs3fQCNw7datWp48OCB0bUa0rVrV1hZWWHXrl1o27Ytjh49isOHdfqlq1ev1sp57N69G9OmTcPOnTu10dRC2Nvzk0d169YNfn5+WL58Ofz8/GBlZYWqVatyElPKZDJOH4ZhtJrc2bInxsi2Edx6rVcnNI+xuYl8o6DP8Qki9+wYadrm77bAdD1HKMsCmVy5kqTjJ5B+UzhwJDzR9Dl5SeDp21Sj7esuPEHD8jnLyZOWqcKoDVdN2kX80hFBPxzk1G248ATtq+p+b5+84TqBFx5/gBUf18Ot5wkYv+k6/N3tsGJIPVhbSTDv8D38dfwhAODOzx04CfVSMsTdBW1EHL5VfJzQtaYP9oZF69b8iusQfJOcAQB4/i4V+25Fc9o6VuMmXawf4IpTBsksT96LwTAP7rmQvnZ4oJcDHsZoNNKXDRbOySQUcW4r0zm+PR25SQSHNQnAqJbC0bqGttV8C8fB3L2WL17EpyE2KQOTOlQ23YHIMTYGkdy1yrgUzkIIIhdYoskdAQAMw9QDUAGazOspDMPYA8hgWTbPMkUxDOMMjeyI9heRZdlHDMMkAqgJICqX44+ExokOPz8/REQU3Hl9XFxcvs938yH3B1Nqyu//hBvp/a5iH7wuwNekuCP0nqpYFW4n3sbMCM2W7KU3l2Jrw60mx4pPjTdrzoL8n33fKIjPKFGwlOT3VKFQIC1NPDFtUWX79u24ffs2du7cqa3Td7IKMXToUHTv3h1KpVJUt9vX11f09ahTpw4OHDiArl27ausOHz6Mnj175mmf9PR0hIeHo1mzZha/Nz179sS6desQHR0Nb29vNGjQgDNGpUqVUKlSJYwbNw49evTAP//8gxYthJNjqdVqKJVKTv83b94gPDwc8+bN00ZZX79+HUqlEpmZmUhLSxPsp1KpoFKpkJaWBj8/P8hkMpw+fVqrrZ2SkoLbt28jICBAa2NtbY3jx49rbVQqFUJDQ9G3b1/ePNl/WZbl/U+zLKtdmxgKhaLEfsYLgoI8xyeIPMGMm21a0uIBWxfNsTIdQFZfqQ0gkeL5mDGiXV9lFL5UQ0EwfK1AxLse+8KisXhgzsb+cuN1kza96vhBLpNiUEN/TrCWUu8Gp1rN4sdd3BxSh+++xoFb0Zh9MAJP3qTicVwKNl56iqFNArQObgDovTQUv35YHb3XPALwCNZGNIaHNg4QbVs4oA7HyW2ITCrBm+QMNJvDV3nyd7Pj2RqiEvi3Xn76sfa4rJsdto1qgsR0Bcq4CQekOdtybxS3qOTJubk8sIE/Fh5/gHSFGl+0DjTqNHaSc8f6tKnxYIT8QiJhMLZ1YKHM/b4xrUtVjkTND13FZQQJoqhiiSa3N4DdAOpDc3ZQEcBjAPMApAMYn4fryr5NaLgHKV6vLcewLLsCwAoAqFevHmuOrmVeERERYZaOZm54euwNp9zbmFyJAK5tJ8C1VMEnOiiuCL2nIw+PxPloboIVez97lHE0Hs2tumV6I0LfSn3z/X/ofaYgPqNEwVKS39Pw8HCTEh1FEZZlERsbiy1btqBly5ZITU3F+fPn0b9/f8HoY0BzU9rPzw9paWk5es6TJk3CkCFD0KRJEzRt2hTLli1DdHQ0vvjiC+14ixYtwqJFi7QOU3P6TJo0Cd26dYO/vz9iYmLwyy+/IDU1FZ999pnF6xw2bBjatWuHp0+fYtCgQdrXIjIyEsuXL0f37t3h5+eHx48f486dOxg9erToHBKJBFZWVpx23/+zd97hUVRdGH9nW5JN742EJARIQieU0MGggBBQmhBQgggCSosgiIIoiKCIoFRBelCwAKIIUj6U3nsSakJJICGBkN525/tjk92dndmWHji/5+Fh7r3nlt3J7s6cOfc9Xl5wcXHBpk2bEBgYiKSkJEybNg0SiQQymQxWVlaC/cRiMcRiMaysrGBlZYVRo0Zh1qxZ8Pb2hpeXFz7//HMoFAqOzbhx4zB79mx4eXnB398f3377LVJTUzFp0iTePKXntDSSW3tuhmHUa9OHVCp9bj/jVUEVX+MTRPnJzzDddv2rwPiSZMEcPW5hJ+HVuhqH4HCf4WVYHJecgmLIZWKj0li1jdMJTzDj98twt7XEp31DEOQhfIuuqw8txFslEhq6u5G1c0xFbTiD/3QinwFgXMx5TvnIzTT0asKNmo5/lIUBKzX3ZYUK/buD/FyEr0EA4d1J2kjFIvRfyU9mPSi0Dk/TXMjJvezQTYzqyHUkJ2hJmJxKeAJ7uRT2cqluVzVO1jK8160elv/vNtr4OWF5ZAtOu6O1DHsndcb1lCx0aygcta7NlTmv4N8bj9HazwkyA7rixPOBt4MV1r7VCuNjzuOPCR0E/04JoqZjjlzJt1Bp9jkD0P4F+gVARQs4l+79sdepdwCQWcFzPXdcvJ+hPu4sumT+AB5NjNsQeilSFvEc3ADw6u+vYmqrqRjRaITevqm5fO05C7EFChQF6vKABgLyMgRBELWIIUOG4OLFi5g1axZSUlLg4OCA9u3bY9SoUZU25xtvvIH09HTMmzcPDx8+ROPGjbFnzx7UrVtXbZOWlobr16+b1efBgwcYOnQo0tLS4OrqirCwMJw8eZJjs2HDBowcORIJCQnw8/PTu8bOnTvD29sbsbGx+Pnnn9X1crkcN27cwKBBg5CWlgZ3d3cMGzYM06dPN+s9EIlE2LZtGyZOnIjGjRsjMDAQ33zzDS8ZpTEWLVqEnJwcvP7665DL5ZgwYQJycrjbyBcuXAgAGDlyJDIyMtCiRQvs3btXHdlN1Ciq8hqfIMpProBGtNwZGHMY2NgXeKrRRkbqNUBRBIilQJHW95RUjsIHSbxh1r7pDihUOrQhdmWPYmRZFv4f7VGXT38cDjdbYb3n6kRIBxpQ6Thn5ArrQecXKTB4tepe587jHPRaegQJX/bm2SmVpkXcN6uje8uv4XTCE1y491TQwS2EkmVx34j8iiGMOfV+HhOGIT+cFGy7kiSsEW4tkCgxPaeAV/e05P1WKFn8c+0Rrqdw5VBMfUwyrUcQpr7SUK9T3s/F2qAzXxtbSyn6NK0efWiieuge4o4bX/Sq7mUQRJkxx8kdDiCcZdmnOl+Yt6GSFqkwWJbNYBjmHoCWAC4CAMMwAVBFcVO2PTPYJFtoXgfX4MpZyAvEw2z929gWnV2EIUFDYCG24LWl5AhHOgxuOBibYzU5V+s71i//IgmCIKoRiUSCRYsWYdGiRVU67/jx4zHewNb0OXPmYM6cOWb10XZG6yMhIQEhISGoU6eOQTuGYZCYmMird3d3x++//250Hm0OHz4sWP/SSy/xknxmZ2cb7LdhwwZO2draGps2bcKmTZv0zm9hYYElS5ZgyZIlJq9PKPmoriY6USlU2TU+QVQIudxdq3j/LOBScn3ccwHw0xvc9rku/DGkckDBVeLx274Nz66OAUo2VnpZlt25px2FDABtvjiIW1/0gqSKIyMfPcvH0DUnUddZju+HtoCtjgTFJzu537syiQiz+4SgWR0HRCxT7QYO0Un2p6udzbLA2iN38E6nAE59fjF/h+qiQc3Qs7EHDl9PxU+n72FajyC1M3b3+x3Vc5ZS6kw3FYWSFXQqVxRBHrZm93Gz49/3Hb7Od9p3DFT9nf55ORmTfr7Ia/+0byOT53zedg4QBEGYijm/slYAhAQzXaHayljR/ABgOsMw/gzD2AFYCGCfbtLJUhiGsWQYxhKqh5zSknLl/cLVUAqLy5mcqd/yilnICwrLsui9gx/JoI1QtDYAbIoVdhZ09O6I2e1mI8gpCAs6LYBUpH+LGkEQBFHz2LNnD5YtW6ZXS5wgqpmqvsYniPKR95RbdtEKAGnY08QxniBr/35OlVXTpsjRivaWiWRlXSFSMvkfnRm/V21i6PtPchH25UEkpOXg8PXHPE1rADh6K41T/ndaVwwPqwtrC02ywtiHmVCURGXf0IkuLmXeX/wknQ+f8d+DgaF1YGMhQZ+mXoh5JwzNtRLbNaljj5/HhJn02vShULK481g4Ot0Y3YP1J5UuxVIriaOpDAzlP+BuLpDQr/RcCDm4AZV2OUEQBGEYc5zcRwBEaZVZhmHEAKYDOFiRiyphAYDdAM4ASAIgBjAcABiGGcYwTLaOfV7JP18A60qOP6mEddVo7j3R/Kh3EhkJercQ0E6rI5ypmTCNY8nHjNoUFPO3p/334D+ek1vCSNDaozXaebbDoAaD8EvEL+gdYNiBThAEQdQ8zpw5g27dulX3MghCH1V9jU8Q5UPbyd14IL99ovFkh8hNR+qibzhVtzNuc8qScsRL/Xk5mVf367kHZR7PXK4mPUOnr7gJEHdc4Muz6GJTEgWtm8Bw1b+q9yZBj7wJoAr20WbtkQQ9lvpp6etodh9tTic8wZMcw4ms9bH4jWZGbSzM1KW2tZQIytRM05PwsViPXnhkW1+erjdBEATBx5xv6akARjMMsx+ABYBvAMQC6ADgo4peGMuyCpZlp7Is68KyrC3Lsv1Zlk0raYthWdZGx54R+DenotdVkyksVqL74v8gQxHWSL/BZtkCvlHvbwB7X6D7Z4CtB7+dKBcPsoxfvH545ENOuVhZjPcOvsezOzr0KH585UfabkYQBEEQRGVSpdf4BFFu8jI0x1YO/HanANU9j5m8tus1Trk81+D/E5CjAIAziQJ64hXIzgtJmPrLJfRbLhx4k1tYLFhfirVM5eS2seQ6+L/ep8pXYSj54AWtvFAA4GHHde5+0tu4LKZMIoKsHJIuhQol7qaXLZLbztL4bllz/yb2Tu4sWO8gl2H7u+3gr6ON/dPpe4L27jVQz50gCKImYtIvCMMwUgAbAEQAOA7gHwCWUCWkacGy7G39vYmqYtdF1dP5YeIDeFl8Ttio9TvAlCtAx8lA2g1uW+/FlbvAFwARw/1INXRsiJ97c/Vabz69ySk/zdfZcgmgb72+sJZak4ObIAiCIIhKg67xiVpJfobm2EpP5G/LKINDsC/P5ZRlAQF6LCuWQatOcJyw1x9loePCQ/Cb8Rem/nIJRXoieU3h+K00TN52Eb+ee6CWF9HlrR9Pc8o2WvrVQ9toooX1OZpzC/g626X0X3Ec6dmaHaueDlzH7Ij2fgbXX4q2VEpZWGNGBLltiTP/3c6mn//WfqZFm8tlYng7WOltb+PvhH+mcJ3g644lCtpKxHRPSBAEYQomOblZli0C4A/gCcuyn7Is24dl2VdZlv2EZVn9WfaIKuXEHVWCk8Hiw8IGb/9jeIDQqIpczgtJZmEmp9zMtRkaufCThDwreCZ4XEpPPxP1BAmCIAiCIMoIXeMTtRLtSG5LB2EbsWGpEYVnJ0553/utyrcmLc7dNRyt3eXrwwibfxD5RQqM2ngGD57mAVDJmfx9tezJdiPXnjJqc/auJrgmr1CB7AJVZLdExOCL1xqr23QDbZp42wMAsguK1HWDBLSm5/4Zqz7OL9I4xIeH+UJqYoS2bhS5EAeiu5g0ljau1vxx90/pgg0jW+ODV4TlQ4T4sn9TTkT7S0FugnZhAc5Gx9J9T/TJwTx4mmvy+giCIF5kzNkLtBHA6MpaCFF+HKxUyVGOKxsLG/i2NTyAqHxPzQlg6fmlnPKw4GGCdul5mozrFx9f5LVbSmhLGkEQBEEQVQJd4xO1C21NbiG5EhMoelrEKa98/DunrO8a3hQGrDxh1OZRZj6CZu1VO7hL+fMSX8u7snicpYm6drW14Gk+f9ZXE6hzJUkVlJOWrdG7FnJG77yoWX9uocbJbWVGwsZSyRRdOjdwReKC3khc0BuBbjb4cYR5DyaW9OYnbvSwt0TXhm4GZVh0CXSzwY15vfDbuHb4pHcwFg0S1vL+Rk99WRDS9SYIgiD4mJNNwxrAMIZhXgZwDgDnMSPLshMrcmGEfpRKFqcSnqCeqzXctLTOChWqC4k8CGQCl8r5df3XAr+/U1nLJAAEOKi2vnlZeyE5R3PRp525fcXFFbx+ecV5vDqCIAiCIIhKgK7xidrFZS0pQLnxaFkhEoeNMNg+scVE3LstrI9cmVxLzhSszy0sxrubzyEjtwjfD20BPxdrzP0zFj8eTcCX/ZvA1JyErepqpDbiHmnmEglIJCYKaFuXanMDwP0nufj41WB8sSeOZ8eyLBb8Ha8um+PkttUTyT23H3d3bHiwu9GxTn4UDgXLwtvBCvHx8Zy2gx+YHw2uTWhdJ4TWdRJsm9ajIRytBe7JBZj5ahDm74nX2y6TiDC0jW+Z1kgQBPGiYY6TOxjA+ZJjXdEqYdEvolJYevAmlh7k6jpvHd0WmXmq7WbWyOd38mjKr2s6CHh4EbixDxi5pxJW+uJQrCxGi80tOHULOmkSfypYrn5d5J5IzO84H30C+uBxHj8xTTvPdpWzUIIgCIIgCC50jU/UXsQGkgWKJICSn2gxy+ktAAcMDqu7qzIpIw+edpa8aGddWLZ8H5mkDOFAlxX/u40jN9MAANHbL+Kbwc3x41GV9vRHv18xOGavxh5qGZRSeZLfzj3AB79cMjhvYy97TvnvK1wFowNxqVg5PFTQya0ru3LyjukJN7V1wkuZ+WoQ6jpbC1gbxsOeex5vftELP5+5j77NvGBvZTzRpKmM7VIPq/5VpTA4+EEX1HO1Mbmvu53+KO0/3u+AOo5yOJnoMCcIgnjRMdnJzbJst8pcCGEaSiXLc3ADQOSaU+hU3wWAgJNbKgf66Ekq2eML1T+iXPx+83de3ct1X1Yff9TmI0w+PJnTPvPoTCw+txiNnRvjavpVTpvU0AU7QRAEQRBEBUHX+EStQqmTmNGzhbAdAAz7Bdj8uqY8RyW58SAomGN2IojvuNZOJv/V3nisOHwb7QKcsXV0W4OJ4XWdxb2beuKvy+bJ2z98lgdPe27CwmX/u6U+Pn8vA/2WHTVprNMzw1FQrFQ7nbPyi5GSmc9xcOujb3Mvjt24mPOc9g9ebqBXZ3v2rmucssgMkdRneVwpmd5NPTGmcz1B2xXDWmK8zrpKmfsaX8JTKhbhzbC6pi/GRGb0CsKMXkFl6msh0R/l3rSOQxlXRBAE8WJijiY3UQPYcSFJb9vTXJVGmjWjdXEVsRSIjgPc+ckPiYrj0mP+haJMrHni3sVHeDtcWl4az8H9bddvK3ZxBEEQBEEQBPE8oCvpZ21AriSgGxDxHdD9M2Cmfkfzit7cW+KxzcYCAJ7mFWP72ftYcVgVoXviTjqup2QZXN6Fexmc8vLIlkj48lUsHdLcYD9tXlt+jFNOyeTv0s3M50eo67L1nbZws7PkyH9k5Reh69eHeba9m3ry6owlinyjtQ8A4Oh07nMyhZJFWnYBp256T9MdwOd13sPOJYFcQrzaxBN35r8q2DakZH01He0Endr0ETgnBEEQhGHIyV3LOJWQrrftapJKV80aWhcVtp5lTshCmE4zV8OJRSQiCd5o+IbRccY2G4tw3/CKWhZBEARBEARBPD8kCUftCsIwQOgIoONkQCaHMicH90aP4Zik2gMFMm5kto1UJTXx2cFH+PDXy5y2bCPO5b+v8p3pDMOgX3NvfD1QQD5SgJTMAhQWayLW/7hofjLKxAW90T6wZJevlvxHdkEx8gScqnmFwo5WQ5RqTtdx5OZ+mi8gX9KsHBHJdpaGd7iKRAzCg9w4dVZSsVEnfU2hoFj4vR/dSVc9iiAIgjBG7fjmJ9TcSs02asOJ5JaZrgdGlJ0CBTda4fJbl3k22pHd+njV/1WDWyAJgiAIgiBqIwzDyBmGWccwzFOGYTIYhvmRYRgrA/aDGIa5WmL/lGGYowzDlC9THFG7ObcR2NinzN0fL1+BnCNHOHXbO/Fvh/OL83Hpfgbi0wp4bQNXnYDfjL9w8X6G4BwtfR0F6wFgUCsfJC7ozav/eUwYr27FYY08yck7+oOcTEEqFqkTPyr1SIbri3q+rSdKunRcIUq1wkvp09TTqJa5Np/15e5AtjNBO3vtiFacspAjv6bSo5GHYH0zH4eqXQhBEMRzADm5axm627eEsNHW5LYgJ3dVoO3kfrvx24KO6tKoEEM4WDhU5LIIgiAIotz06dMHUVFR1b0MovazFEBQyb8GUCW81JM0BgBwEsDLLMs6AnAG8B2APQzDOFTyOomaSNotYPfEcg3xZN06Xt2Nevykf4v23kc/HckQXXQlRUrRjpru3URYbqJfcy/18ZmPuyMsgC+5clMrsOlgfKrBtZiCjaXhVFyv6HG0ikUMXm/hXa65p7zcwCx73aSNxiK5AdTqICEHOT8QqqWvQ9UvhCAI4jmAnNzPIXJtJzdFclcJP8X/pD4WM8LJQ/rX7290HBs6XwRBEJXGihUr4O/vD0tLS4SGhuKITkRfRfUhCIJLScT2cACzWJZNYVk2FcAsACMYhuF7GQGwLHufZdlS7QcGgAKAHEDtENolKg6lElgWWq4hilKFHcXZ1vzb4aKMVgKWfAasPI6sfG6SxL0lCR4BwNXWQrDf0iEtcO2zHrgz/1W9NtrJKlv76Y8OF2J0J39ena0RJ7chFg/myzI2q2PPKQ8P89XbP8DF2qz5rC2491L2JkRyP2+QVAlBEETZICd3LeLygwyT7BzEWlvryGla6TzKf4TUXM2F8593/hS087AWjpDQRip68S7iCIIgqoJt27Zh0qRJmDlzJi5cuID27dujV69euHfvXoX2qQ4KCwurewkEYYyGACwBnNOqOw/ACqqobkEYhvFlGCYDQCGAXwFsY1n2SiWuk6iJXNparu5sYSFudRZWuslmNcFBG3tuRFb8XIA17Xr83N2naDLnH07dvzceq49PJzzR29faQsKR8BAKRH74LA+jNpzBmcSnJq0HAJa80Rwf9w7h1dta6Hdy6yaO1EUoSnpaD24iyWBPO8G+7nYWZkdZ2+is1dNB8DnYc01tklshCIKoSZT9kS5R5ewyMemIJSeS27wn54T5TLg0gVM2lDhySMMh+Pn6z5W9JIIgiFrBhg0bsHTpUly/fh0SiQQhISE4evQoJJKKvzxZvHgxoqKiMHr0aADA999/j71792LlypX48ssvK6yPLqtXr8bs2bORlJTEeV2RkZHIycnBrl278N9//+HDDz/E1atXIRaLERQUhB9//BGNGzcWHLNr164IDg6GtbU1Nm7cCD8/P5w5cwZ79+7FF198gatXr4JhGLRu3RpLlixBcHCwul9ISAgcHBzwww8/QCQS4a233sJXX30FkUgV95Cbm4vx48fj119/hbW1NSZNmsSbv6CgANOnT8dPP/2EZ8+eoXnz5li0aBE6duzIW6NcLsf69eshFovxySefYOzYsYiOjkZMTAzs7OzwxRdfYODAgSa9l0TNhGGYDQBGGDD5AsC+kuNnWvWlx8LeMQAsy94D4MAwjDWAQQCEw141axkDYAwAeHt7Iz4+3uDaK5K0tLQqne9FImjXe4L197otR64J7zl76ZJJ80jTpCY7uLU5fyUWcqkIxTqC13aSYpP/Jha84oXp+7j3erN/OYODt7LMWkuQVZbgnIyC/zC0uacVxrV1QXbKPcSnGB7X31GGhKeaMR4l30e8Ik0zfk6uYL9ZXVzN/lxov4+ethLcvnnDrP4A8HqIPW/emvwZHdbMETGXNA8zHBVPER9vPBfXi05NPqeE+dD5fP6ojnNKTu5ahIVEOPB+VEd/dYIPK+TDgtWK5JbKBfsQlUd7r/Z622a2nYmBDQbiuwvf4b8H/1XhqgiCeFGICwqutrmD4+NMtt29ezcmTZqEVatWoX379sjJycHNmzf1Orjnz5+P+fPnGxzz77//RqdOnXj1hYWFOHfuHKZOncqpf+WVV3D8+HHBscrSR4jBgwdj4sSJOHDgAHr27AkAauf2hg0bUFxcjH79+mHUqFGIiYlBUVERzp8/D7FYWPqqlC1btmDMmDE4cuQIWJZVjzt58mQ0bdoUeXl5mDdvHiIiIhAbGwuZTKX5GRMTg0mTJuH48eO4ePEiIiMjERoaiqFDhwIApk6div379+O3336Dt7c3PvvsM/z333/o318jufXhhx9i+/btWLduHQICArB48WL07NkTN2/ehKenRoM2JiYG0dHROHXqFP744w9MnjwZe/fuRc+ePXH27Fls3LgR77zzDtq3b4969eqZ/J4SNY73AUw10J4LTbS2PYAMrWMAyDQ2AcuyOQA2MAwTyzBMIsuy+/TY/QDgBwBo1aoVGxQUJGRWKcTHx6Mq53thUOqPaPVt1BZwqW90iOzUVNw3YapCmzoAzN+p4+xVF8kZ+Ri65iSnfsnwdvCwNy0KOSgIaNOkAbotOqyu22+mg1s1jvDfoMOJTOBhHqdufPcQvVrcuiRsuM0p9+/UnBOJXjdAgZn/POTYfPF6Y/RpW9ek8XX5a6IXDsal4rXm3vB1Nu1+dskbtpj26yUEuNjgq2HteYkxa/JndLRLDmIuHVaXO4c2htiMZJ0vKjX5nBLmQ+fz+aM6zik5uWsRKw5zLy78XazxXrdADAyto3Zyx1m+ze0kIkWaqqaNZxu9bQzDoKFTQwysP5Dn5K7vaPwinSAI4nkhPj4ePj4+6NGjB5ycnAAAISH8LdaljB07FoMHD0Z+fj4sLYWdBt7ewsmx0tLSoFAo4O7uzql3d3fHgQMHKqyPEI6Ojnj11VcRExOjdnLv2LEDEokEERERyMzMREZGBiIiItSOXlMuBv39/fHNN99w6gYMGMApr1+/HnZ2djh9+rQ6yjokJASff/45AKBBgwZYs2YNDh48iKFDhyI7Oxs//vgj1q1bhx49eqjHqFOnjnrMnJwcrFy5EmvXrkXv3r0BAKtWrcKhQ4ewfPlyzJs3T23bqFEjzJkzBwAQHR2NBQsWQCqVqqPDZ8+ejYULF+LUqVPk5K7FsCybDcBgyCHDMNcB5ANoCeBQSXULAHkAzAnTlACoD01kOPG8k5ehv83JtO+Nx8uWC9Yv68O9T3rwVDga2RjZBcU8BzcAkx3cpfibqV2ty4FoYUkWAMgpKObVWckMP0zVplN9Fxy5qYncFuk4YIXGGlZGBzcANPKyRyMve+OGWrzWwhvdgtxgqyMFUxtwtuEmnyQHN0EQRNkgD2gt5n9Tu2JgqObGUwRlNa7mxaRYyb1g/LTdp7AQG9xJCwDo6tMVbzR8Q10O9w3Hos6LKnx9BEEQNZVRo0bB0tISzs7OsLGxwdWrVw3aOzk5ITAwEPXq1UNgYKDgPysrK4Nj6OqCsixrVCu0LH10GT58OHbu3IncXJUDJSYmBgMHDoSlpSWcnJwQFRWFHj16oHfv3li8eDHu3zcecxgayk/Cdvv2bURGRqJevXqws7ODu7s7lEolR0O8adOmnD5eXl5ILUnIdvv2bRQWFqJdu3bqdhsbGzRp0oQzR1FRETp06KCuE4vFaNeuHWJjYzlja8/FMAzc3Nw4Y0mlUjg6OqrnJ55fWJbNA7AFwOcMw7gxDOMG4HMAm1hWSxRZC4Zh3mIYJpBhGBHDMLYMw8wG4AuNk5x4EXisZ4dQ0yEmBfNk/vMP8i9f5tXnrJ2L/5po+n/c9mO9jsV6roadz4+zCgy2m0OAkbnqu/HzLY3tUg//m9oVgQJtpWTl853cnvaGfzO1iX5Zr3S+mlZ1NQkyPeyqR0fb3kpa6xzcAGBrKcXn/RohxNMO3w1tUd3LIQiCqLVQJHctZcJLgZzyKyHuuBB7vZpW8+JyLf0apzywgWm6ogzD4JOwT/BJ2CeVsSyCIF5gzJEMqS6Ki4sxdOhQtGzZEqtWrYKDgwP8/f0N9imPXImLiwvEYjEePXrEqU9NTeVFapenjz769OkDiUSCXbt2ITw8HAcOHMA//2iSla1fv14t5fHHH3/g448/xs6dO9XR1EJYW/MdIREREfD29sbq1avh7e2t1jnXTkwplXL1ZhmGgVKpekheKntiiFIbIUe/bp3QXIbmJ557JgFYBk3k9m8AppQ2MgwzE8AwlmUblVQ1ADAXgAtUkieXAfRmWZb7NIV4vtk/m1t29Ae6fQwER5jUPWkiP68AAByUcXfIdq/TG4NXnxO0HdzKB1/+rV9T9MTtdF7dKyHm/U6UUqww/D38ce9gRK0/w6mb0cv47h9dJ3eXBq4GneK6tPB1xGvNvXAgLhWzI4R3XW0a1QaDVp1ASmY+lg9rafLYhIq32vnhrXZ+1b0MgiCIWg05uWspfZt5ccorh4fi5CULYJdWpU3ZLq4I00jJScHwPcPVZXc5vd8EQRCmsGPHDly7dg379pmuOFAeuRKZTIbQ0FDs378fgwYNUtfv37+fJ/FRnj76sLCwwMCBAxETE4O0tDR4eHigSxfutvJmzZqhWbNmmD59Onr16oWNGzcadHLrkp6ejri4OCxfvhzdunUDAJw/fx7FxfzoPX0EBgZCKpXi5MmTCAgIAKCSJ7l69apaTiQwMBAymQxHjx5V2ygUCpw4cQKRkZEmz0W8eLAsmwvg7ZJ/Qu3zAczXKn8CgKIBXmQy7gNJOo7nSRcrZOgAhwBOOebkI9x5nCNom1OoXxccAFb/d4c/vqvpDmRtnuTwE0RqE+LFzdP69cCmeiy5vN3RH3P/VD0fGtrGB1/2N62fNkuGtIBCyeqNeJfLJPhzQkcoWZLbIAiCIKoHcnLXEv53nbuV19aSGwklFjHooOA+1Ufk9spe1gtN91+7c8opuUbSkhMEQRAAgIKCAqSmpmLjxo3o0qULcnNzceLECQwZMkQwQhlQyZU4OTkhLy/PqCyJENHR0XjzzTfRpk0bdOjQAatWrUJycjLGjh2rtlm2bBmWLVumzgJuSh9TGT58OLp3746EhARERkZCVLLNPiEhAatXr0bfvn3h7e2NO3fu4PLlyxg3bpxZ4zs6OsLFxQVr1qyBj48PkpKSMG3aNL2JPIWwsbHBqFGjMH36dLi6usLLywuff/45FAqNg8fa2hrjxo3DjBkz4OLiAn9/f3z77bdISUnB+PHjzVozQRCEXooLgR9fKfcwNt3DkX3gIKeu3oH9OJd5WF0eGjQU3+7QLw3fpYELvjt406x5h7bxMcu+lGwB7Wxt3GwtsWdiJ8z4/TJeDnbHoFamzTOsrS9uP85GfpECM3qWPUG1Mec1wzAQk3+bIAiCqCbIyV1LmLubuzPTzkrg1P05hVv2al55CyIIgiCIMjJkyBBcvHgRs2bNQkpKChwcHNC+fXuMGjWq0uZ84403kJ6ejnnz5uHhw4do3Lgx9uzZg7p1NYmx0tLScP36dbP6bNiwASNHjkRCQgL8/Pz0zt+5c2d4e3sjNjYWP//8s7peLpfjxo0bGDRoENLS0uDu7o5hw4Zh+vTpZr0+kUiEbdu2YeLEiWjcuDECAwPxzTffmB11vmjRIuTk5OD111+HXC7HhAkTkJPDjW5cuHAhAGDkyJHIyMhAixYtsHfvXnh6epo1F0EQBACguABgRICiEJCVPOhMPg9kJXPtxvOTOxpi3dV1sLxzCNoKxw3OnoHYxgZ3Tmiiry3FcsH+nrYSvBTihdC6Tpj3WmN8stNw7ohSxnWth7rOZUsiuWp4KMZuEZZNKSXEyw5/vN/RrHEtpWLMf72JcUOCIAiCqMUwpugvPs+0atWKPXv2bJXNFx8fj6Ag47ppuvjN+ItTTlzQm280RycD9ZxnZs9DmMbZR2cxct9IXv2VEVeqYTVERVLWzyhRc3mez2lcXByCg8sekVUbKWskd2Xx6aef4tdff8WlS5fMipomNJT3nBr6HDAMc45l2VZlHpyotdSWa/wXntv/Aza/pim3nwC8Mg+4dwpYpxPJbca9TU5RDsK2huGzzcUIfqCqc5sxHc5RUQCAJhs1Dt+irGDkPxjB6f/F640Rap+nPqfFCiV2XkzGxftPseXkPRhC8D7NRFiWxed/xmL9scQKH/tFhz6jzx90Tp8v6Hw+f1TmOdV3jW88JTVR4/B1Eog2UOpoxUlqjgPgeUTIwd3EhaIjCIIgXjT27NmDZcuWkYObIAiiLGg7uAHg+PcAywIPzgiam8rD7IcAoHZwA4BFq1BBW6ktP2Fzz0YenLJELMLA0DqY268xPo0IwRsmyoSYC8Mw+DSikWDb6jeF108QBEEQhAq6I6sFPMst4pSXRbbgG+XrRDaEz6rEFRFCNHNtVt1LIAiCIKqYM2fK54ghCIJ4YVEU6a+/+lu5hi5U8hM4puWmwgbA4evcPDq5d9/h2TpZy/BYYFyGYTCygz8AID4lC5fuZ5RrnfrYMLI1lh26hYhmXoho5oWs/KIyS6AQBEEQxIsCOblrAY+zCzhlBysZ3yjvKbfcenQlrujFpkjJvyAXM2K8FfJWNayGIAiCIAiCIGohc12E64tyVbmFks+Xeejswmy4ZnBlORW+qrwB038/DXhp1ecG8vozjPHsib+ObYdBq07gopajO9DNpmwL1qFrQzd0beimLjtZC9z/EQRBEATBgZzctYDfzj/glOs4CkiRaDu5PZsDEroQqgxYlsXWuK2cuqi6UejeqDs8bSjhFkEQBEEQBEGUi6yHwNl13LqPkswaIiYuBovXcOUcv4/7Ab4P/JAhv4TSOyVlkT2vr6kJGqViEXa+14GTO+mjXqQnSxAEQRDVBTm5awErD9/mlEUigcgCbSe33KmSV/Ticiz5GBadXaQuS0VS9PbojSBXuqAlCIIgCIIgiHKzIoxbbjkCsNAfIZ34LBFikRg+thqd7EP3DyFSClgUa+wO3jsIAJA5aOoYEXfHbPt6zohs62vWco/NeAnR2y6iQ6ALXgpyM96BIAiCIIhKgZzcNZycgmLjRgDXyW3lWDmLITDx0EROuYFjg2paCUEQhAqWZU3aVk0QzyMsyxo3Igii5lGYY7pt9zmC1VmFWRh7YCwuP74MANj66lY0cVVFYVsWsLDL09ieqyf8O8mI8znlJW80N31dJXg7WGHbu+3M7kcQBEEQRMUiqu4FEIbZfvY+p9y/pbew4anVmmNLh8pb0AuOrh7341yhlDQEQRBVg1QqRV5ennFDgnhOycvLg1Qqre5lEARhLvO9jNuUIrBL9WraVbT/qb3awQ0A0/6bBgDIL87HsMNKjv0jEza6Lh3SHG52lqaviyAIgiCIGgU5uWs4v5/n6s9Fv6wncjjprOb4+t+VuCJCm9S81OpeAkEQLzBubm5ISkpCbm4uRbQSLxQsyyI3NxdJSUlwcyN5AIKoVTy8bNzGCO8dfI9Xl5Stum96nPcYPc5zfxNveQpHchdn11cf92uuJ5iIIAiCIIhaAcmV1HCuJD3jlL0dBJJO6pKVXEmrebEpUhQZNyIIgqhC7OzsAADJyckoKnoxvqOKiooocvc5o6znVCqVwt3dXf05IAiilrDmJX7drDRgrgu/3oL/+S5SFOFJ/hO9w6flpUE3HvtcoLCTO+/+SACAXCbWOx5BEARBELUDcnLXMgR1V3Wj96L+4tsQ5WbHrR28ur71+lbDSgiCIDTY2dm9UE6++Ph4BAVRst/nCTqnBPGCoRR4KCvW86CrySBO8XHuY7z0i4CTXIs/b/+JgTp1+RbCTu4gD3vIZWKsH9nG4JgEQRAEQdR8aqyTm2EYMYAFAKIAWAL4B8C7LMum6bHvCeAbAAEAbgOIZln2n6pZbeWgUHKd17+M1ZPQ5PYhbtk7tJJW9GIz9+RcXt17zd9D5oPMalgNQRAEQRAEQdQyFMX8uqA+qv97LgD2zuC2tRnDKRpzcAPAL/HbOE7uj0boj9LeO7mz0fEIgiCqA6VSibS0NGRkZEChUFT3ciqdoqIixMXFVfcyiAqkrOdULBbDwcEBLi4uEInMU9musU5uADMA9APQFkA6gHUANgPopWvIMEwAgN8BjAGwHcAgADsYhmnEsmxiVS24onmWx41yaO2nJ2PKf19zy1ITJE2eMw7fP4wTyScQGRyJunZ1ze6/+OxiXHx8EYu6LIKb3DRtzw9CP4CXjRcyQU5ugiAIgiAIgjBKjkA+m4HrVP836s93crtpdnncfHrT6PBFyiLY6eRjvu0pbDuy8Uij4xEEQVQXDx48AMMw8PPzg1QqFd7V/xyRl5cHK6sXz5f1PFOWc8qyLIqKipCSkoIHDx7A19fXrP41OfHkGAALWZa9w7LsMwAfAujJMIyfgO0IAOdYlt3Csmwhy7IxAM6X1NdanuQUqo/9Xaz1G2bcq4LV1FzS8tIw4dAEbI3fiomHJprcj2VZnHp4Cq/veh3rr63HhdQLCP8lXND2+pPrvLqoxlFlXTJBEARBEARBvHhkp3DLU28CEgvVsa074KB1Mzv8N47psgvLjA7/NP8p5m7iRjx29ekGAGCVUhRnN0Bxjj8WdfoeU1pOMX/9BEEQVUROTg68vb0hk8meewc3QZTCMAxkMhm8vb2Rk5Njdv8aGcnNMIw9AF8A50rrWJa9zTBMJoCmABJ1ujTTti3hfEl9reVasibpZE6BwNa+UtyCgcykKlhRzYNlWQzfM1xdvvPsDjLyM+Bg6WC078F7BzHlsPGL2wJFAQbu5ir77Xptl9lrJQiCIAiCIIgXmnzN/Q38OgE2OjsoJ1wArv8F2HoCPlydbCWr5A23uddmzD4+GwnPEgAA4b+EY3sG12Zex3kIXbwUipwAsMWOAIAuPp3IaUQQRI3HXKkGgnheKOvffo10cgMozaD1TKc+Q6tNG1s9to2EBmcYZgxUkeLw9vZGfHx8WddpNmlpaSbN9zSvGJO23VWXU7MK9PYLunVAM37ISKRV4eupTliWxeDTg3n1nbZ1woR6E9DZxbDG3qxzswTrj106BmcLZ3V5f+p+nk3hw0LEP1S9z6aeU6J2QOfz+YPO6fMFnc/nDzqnBPGCoFQCm/ppyhYCt3ViCRDSj18PADo+6cigSDR3a46UHE10eL1kFrpYim1Q/Iybs8hSql+nmyAIgiCI2klNdXJnlfxvr1PvAAgKIGeZYQuWZX8A8AMAtGrVig0KChIyqxTi4+Nhynwj1p3m1Qn2K8jmFF2ahMOlCl9PdbIldovetu9vf48xHcfobQeA7FPZgvVjL47FlRFX1OW3zr3Fs9E+F6aeU6J2QOfz+YPO6fMFnc/nDzqnBPGCcHwpt/zkjlndpSIppzyjjUq/O9w3HLvv7AYAfLmRK1Ui9vLE/Sdcke43w8zP30MQBEEQRM2nRu59YFk2A8A9AC1L60qSS9oBuCzQ5ZK2bQktSuprHUoli39vPObUdarvImz8WEcrOuexsN1zyKlHpwy25xbl6m1jWX6Uhz7yirkXxm+F8J3eBEEQBEEQBEEIwLLAg7PAgTnc+sdxRrsO+XMImmxsgtMPT2P/Xc3uyrYebdVyI9ZS/bmL6h88iO8OchNWft5PcLMvQRAEQRC1nBrp5C7hBwDTGYbxZxjGDsBCAPtYlk0UsN0EoBXDMEMZhpEyDDMUQCiAjVW33Irjn9gUXt3SIS2Ejc+u45a99Ng9h7Ryb2WwfcXFFXrbll9cbrDvw+yHetumtZ5meGEEQRAEQRAEQQBKBfCZA7BWILl7s0iDXXff3o1r6dcAAKP+GcVp004AP7bZWMH+CgspGIbBH5eSOfWkxU0QBEEQzyc12cm9AMBuAGcAJAEQAxgOAAzDDGMYRq01wbLsbQD9AXwClUTJJwBe1+MQr/HEJuvKiwNO1jLVgaIYSLmmabBy4Bq+QE7up/lPDbbHxMfobVt9ebXBvttvbAfAT3DT1KWpiasjCIIgCIIgiOcMRRGwZQCw/1NVhLYxdryrv63ZGwa7zjw6U29bW4+26mNHS0dBm7SujZFbWGx4fQRBEATxghAVFYU+ffo8N/MIUWOd3CzLKliWncqyrAvLsrYsy/ZnWTatpC2GZVkbHfu9LMs2YlnWquT/f6pn5eXHQS7jlKPa+6kOiguAuc7AyvbA/DqqOrGWbbePq2aBNYTU3NRK67fh6gYUKYqQVZjFqd/Ua1OZ5iQIgiAIgiCIWktRHjDHHpjrAtw6ABxbAqzrabzflV/0t/mE6W2680y/XredzA5SsUafW8SU3NLqON2lfV7B6E1nOXXdGroaWCxBEARRW1mxYgX8/f1haWmJ0NBQHDlyxOS+8+fPB8MweP/99ytxhVVH165dBV/L0qVLsWWL/tx2zwM1NfHkC01WPjfioFdjD9XBse80lYVZqgu5fK2ob0uHyl9cDaI0wUwpfnZ+SMxMVJeLlcKRGwtOLzA6djFbjJZbuDLvMpEMYhFlYicIgiAIgiBeIFgW+MKDX3//pP4+WSnASQPygJOvAlJLvc2Psh/pbXOydOLVfbXHGX6XuJKPh+944FhCOqeuY31ychMEQTxvbNu2DZMmTcKKFSvQsWNHrFixAr169UJsbCx8fX0N9j158iTWrFmDpk2f/1379vb21b2ESqfGRnK/yDzJKVAfixigbYCzqpBylWuYmw6c/VFT1pUueYHoV68ftkdsx/TW0zn17+x7ByzLQqFU4PqT60jNTeUkrTGHQmVhRSyVIAiCIAiCIGoP2fx8QWq0ZRQBIDtVlTNo2zDg2FLhPnOeAQ4+BqcUifTfpmoHtQDA/bHjeA5uAPgt9gmvritFchMEQVQJGzZsQIsWLSCXy2FnZ4ewsDAUF1eOhNTixYsRFRWF0aNHIzg4GN9//z08PT2xcuVKg/2ePXuGYcOG4ccff4Sjo7D0lSFWr14Nd3d33uuKjIxEv379AAD//fcfwsLCYGNjA3t7e7Rt2xZXr14VGg4AUFBQgMmTJ8Pd3R2WlpYICwvD0aNH1e1du3bF2LFjMWnSJDg6OsLR0RHTpk2DUqmS2o2KisK///6L5cuXg2EYMAyDxMREdZu2jEjXrl0xbtw4fPDBB3BycoKrqyuWLl2KgoICvPfee3BwcICvry82b96s7rN371506tQJjo6OcHJyQo8ePRAXZzyRdFVBkdw1jGKFEhtP3FWXFw9urmlMjeUaf12PWy7Kq7yF1TAUSgWn/Gn7TyEVSVHPgfuenHp0CkeSjmBr3FYcSz6mdzxHC0e81egtLD2v52KcIAiCIAiCIF5Enibqb1vZHphxD9gYATy8ZHgcK0dgxG7DNiWM/me0ycvLPnxYsL5QS9KklHquNgKWBEEQtQO/GX9V29yJC3qbbLt7925MmjQJq1atQvv27ZGTk4ObN29CIhF2Qc6fPx/z5883OObff/+NTp068eoLCwtx7tw5TJ06lVP/yiuv4Pjx4wbHHDNmDAYOHIiXXnoJn3/+uZFXxWfw4MGYOHEiDhw4gJ49VRJeOTk52LVrFzZs2IDi4mL069cPo0aNQkxMDIqKinD+/HmIxfoVAj788ENs374d69atQ0BAABYvXoyePXvi5s2b8PT0BADExMQgKioKJ06cwOXLlzF69Gh4enoiOjoaS5cuxY0bNxAUFKR+T11d9T/gjYmJQXR0NE6dOoU//vgDkydPxt69e9GzZ0+cPXsWGzduxDvvvIPw8HB4eXkhJycHkydPRtOmTZGXl4d58+YhIiICsbGxkMlkeuepKsjJXcNY9M8NTlmdcBIA0m7AIAVZhtufI7KL1HlHIWJEkIpUF7FtPNrwbB9mP9Tr4Pa09sSEFhPQzLWZQSc4ALhYuZRjxQRBEARBEARRCzlo5MZ/geGt4Gre3Al4NCn3crRhi4r0tmVLrbjTh9Wt0LkJgiAIYeLj4+Hj44MePXrAyUklMRUSEqLXfuzYsejbty8sLfXLWHl7ewvWp6WlQaFQwN3dnVPv7u6OAwcO6B1vzZo1uHXrFidK2VwcHR3x6quvIiYmRu3k3rFjByQSCSIiIpCZmYmMjAxERESgXj1VQGZQUJDe8XJycrBy5UqsXbsWvXurHiqsWrUKhw4dwvLlyzFv3jwAgKenJ7777jswDIOgoCDcuHEDixcvRnR0NOzt7SGTySCXy+HhISA1pkOjRo0wZ84cAEB0dDQWLFgAqVSKSZMmAQBmz56NhQsX4vjx4xg4cCAGDBjA6b9+/XrY2dnh9OnT6Nixo3lvYCVATu4axpGbjzllK5kZGtBNB1fwamou/z34T32sZJXqYyHN7Hmn5ukdZ9XLqxBgHwAAYBjG4JwftfnI3GUSBEEQBEEQRO3mruFAEJORVUwU9XfdvkPx48e42amzXptlzfoDOtf2/Zp7Vcj8BEEQhGFGjRqFbdu2wdnZGdbW1jh58iQaN26s197JyQlWVlawsrLSa2MMXX8Oy7J6fTzXr1/HzJkzceTIkXJHHw8fPhxRUVHIzc2FXC5HTEwMBg4cCEtLS1haWiIqKgo9evRAeHg4wsPDMWjQIPj4CEt23b59G0VFRejQoYO6TiwWo127doiN1Sg7hIWFcV5bu3btMGvWLGRmZsLOzs6s9WtrkTMMAzc3NzRponkgLZVK4ejoiNTUVPUaZ82ahVOnTuHx48dQKpVQKpW4d++eWfNWFuTkrmE09rLHteRMdblpHTOE4S3M+2OuDbAsi3xFPqwkmi+78F/CkZqbWiHj28k075mPrQ8Wd12M6MPRgrYv1325QuYkCIIgCIIgiBeOCkrg3s23G260DTNos8eP3y4VUzoqgiBqN+ZIhlQXxcXFGDp0KFq2bIlVq1bBwcEB/v7+BvuUR67ExcUFYrEYjx5xExanpqbyortLOXHiBNLS0jiOd4VCgf/++w+rVq1CTk4OLCwsDK6nlD59+kAikWDXrl0IDw/HgQMH8M8//6jb169fr5YA+eOPP/Dxxx9j586d6NGjB28slmUBCAdgGgvKLCtSKVfai2EYwbpSze+IiAh4e3tj9erV8Pb2hkQiQUhICAoLa0YOO3Jy1zC2nb2vPn6noz8sJCUXgycMZCcvRWLah7C2UKAoQORfkbifdR9fdf4KbnI3fHD4gwpzcAMqLW5t9DmyO3l3qrQvFYIgCIIgCIKoFfSYDzy8DFz+2fy+DqbJhWQVGpdgVDx7ZrCdZfgO7cbeZgQPEQRBEGVix44duHbtGvbt22dyn/LIlchkMoSGhmL//v0YNGiQun7//v08aY1SXnvtNbRq1YpTN3LkSNSvXx8zZ840K7rbwsICAwcORExMDNLS0uDh4YEuXbpwbJo1a4ZmzZph+vTp6NWrFzZu3Cjo5A4MDIRMJsPRo0cREKBSHFAoFDhx4gQiIyPVdqdOneJEqp88eRJeXl7qKG6ZTAaFQsEbv7ykp6cjLi4Oy5cvR7du3QAA58+fr7SEomWBnNw1mKQMrUSS+2Ya7/CcOWF/jv8ZN56qdMgnHJoAK4kV8or5yTU9rT055WHBwxATF2N8/D4/C8qbCDEkaIhJdgRBEARBEATx3KCb88ctBGgeCTw4Azy5bfo4k68CIuOR1Ouvrsfic4s5dSNCRmBj7EYAwNedvzZ9Ti3Oz3oZYtHzda9EEARREykoKEBqaio2btyILl26IDc3FydOnMCQIUNgbW0t2Ke8ciXR0dF488030aZNG3To0AGrVq1CcnIyxo4dq7ZZtmwZli1bhvj4eDg4OMDBwYEzhrW1NZycnAzKquhj+PDh6N69OxISEhAZGQlRye9dQkICVq9ejb59+8Lb2xt37tzB5cuXMW7cOMFxrK2tMW7cOMyYMQMuLi7w9/fHt99+i5SUFIwfP15tl5ycjMmTJ2P8+PG4cuUKvv76a3zyySfqdj8/P5w+fRqJiYmwsbGBk5OTek3lwdHRES4uLlizZg18fHyQlJSEadOm6U0oWh3UnJUQyCvkPml5/6VA1YHShCcwjV6vhBVVL/FP4jllIQc3AHwS9gmnPL31dINO7t/7/o76jvX1tn/W/jN8evxTTl0nb/62GIIgCIIgCIJ4rsnibv9GQFdVYM3E88AcI5HRnaYC4bNMnmrD1Q08BzcATAmdggZODcCAwct1X0bWoUMmjwkAXw1sCifr8mmuEgRBEKYxZMgQXLx4EbNmzUJKSgocHBzQvn17jBo1qtLmfOONN5Ceno558+bh4cOHaNy4Mfbs2YO6dTU7iNLS0nD9+nWzxt2wYQNGjhyJhIQE+Pn56bXr3LkzvL29ERsbi59/1ux0ksvluHHjBgYNGoS0tDS4u7tj2LBhmD59ut6xFi5cCEAVWZ6RkYEWLVpg79698PTUBHcOGzYMCoUCbdu2BcMwGDVqFKZMmaJunzp1KkaMGIGQkBDk5eUZXb+piEQibNu2DRMnTkTjxo0RGBiIb775Rm/EfHVATu4axO5LyZxyA3fbkoZJ+jvZegENewIdp+i3qaX8eedPk+xauXO3mTAMg+auzXHx8UVBe0MObgDoX78/Wri1wO7bu/HXnb/wdZevSaqEIAiCIAiCePFIuao59mnL3TlaLxy4fVC434cJgNzJrKm+OfeNYL1YJEbfen3V5Qfj3zM4TpyjyqlhLRPj3S71MKBlHbPWQRAEQZQdiUSCRYsWYdGiRVU67/jx4znRzrrMmTMHc+bM0dt++PBhXl1CQgJCQkJQp47h3xGGYZCYmMird3d3x++//26wry4WFhZYsmQJlixZotdGIpGoI9OFaNCgAU6cOMGr37BhA6cs9JqvXr3Kq9PWO3/ppZd4NtnZ2YLz5OUJB6pWJuTkrkF8+NtlTlmdHOXCZq7hxItA7C7AN0z17zlEYUr0eglyqZxXN7DBQEEn9/8G/8+kMf3t/TGx5URMbDnR5HUQBEEQBEEQxHNFvpb29dO73LaeXwLL22jKoSOBlm8BHk0AMTdpVVkZ3WQ0p6zQuZHW5nGdQNwvYLCsuSqi7MTMcNhZVsw6CIIgiBePPXv2YNmyZTVKjoMwDKWYrqHItLN/t9XR63HyBzpOfm4d3ABM0tQGgNntZgvW9wnoAzcrN07dz71/houVS7nXRhAEQRAEQRDPPUold0dp0KvcdteGQMR3qmP3xsDLnwPeLcvs4Paz8+PVTWgxAQCQffQY4oKC8WjOZ4J95a1aYf/7X+LjDu/iobULBrSsQw5ugiAIolycOXNGnWCRqB3Q44gaysxXgzSFgkzNcc8FVb8YHfKL83Ho3iHUc6iHhk4NyzxOam4qZh2bhZScFGztvZUTkZ1TlGO0/4QWE/BavdcE28QiMQ4OPohfbvyCY0nH8GHrD+Fl41XmtRIEQRAEQRDEC4WuFIm1K98mdATQ4k2Tkkoaw87CjlOe026OWjLw/jvvAAAy/+TKGVo1a4a6W2PAiMXI+OmCur5TfQpsIQiCIJ4/hCRGCA3k5K4hFCuUnHL3EHdN4aJWVDMjrqIV6WfVpVX48eqPAFTyH2WJjmZZFuG/hKvLo/ePRsyrMUjJSYGTpRPS89MN9h8RMgJjmo4xOs+gBoMwqMEgs9dHEARBEARBEC80D85yyxa2wnYV4OC+k3EHlx9zpRv7BfYDALBFRcLT2trCb5sqwdeTnEJOfiMHOUVxEwRBEMSLBsmV1BC2nb3PKbvaWggbppmXDbYyKHVwA8CPV340YClMcnYymm9uzqm7/Pgydt3ahZd/fRm9fu+Fbde3qduau3JtAWBq66lmz0sQBEEQBEEQhIn8q7OD9FlSpU313YXvOOVvu34LiUgVj5V1SDinDiNWBf+kZuWj5dz9nDYHuawSVkkQBEEQRE2GnNw1hNm7rnHKFhI9EdutRlXBakxnS9wWs+zT89LR47ceULJKXtsnxz4BCxYpuSmceguxBX7q/ZO6vOu1XWVbLEEQBEEQBEEQZcPKodKGPniPK43SxlOT0DJtxQrBPoqMDGTlF6HNFwd5bfZWFMlNEARBEC8aJFdSQ1AoWeGGonxuWe5c+YvRw49XfsTx5OPlGuOTY5+Y3ad73e5o7NIYV0ZcKdfcBEEQBEEQBEGYiMQSKNa6F2k7tkqmHXhEiaQv2yIJgNfCBSi4LryTVWxvj21n7gu2OZCTmyAIgiBeOMjJXdNJ5UZ4w8atypdwL/Meeu/oXSFjHU06anafNh5tjBsRBEEQBEEQBFFx2HkBT+6ojgdtqJBI7uLHjwGJBBJHR3VdRn4Gx2bwUc2Oz+TpM/SO5bpsOW7fzxZsI01ugiAIgnjxICd3TWfNS9xySYbxqqSiHNxlJcAhoFrnJwiCIAiCIIgXDqVCc+zRtNzDZe77B0mTJmmGHz0EjT74FJ22dSrTeN1ibiLDUjgZJlMN90wEQRAEQVQv5OSugQxt41PdS1BTpBTOZq7N3cy7qGtXtwpWQxAEQRAEQRBElVCQqTm2dCj3cNoObgAQrfkZm1pyndQ2uXokHAXIllkJ1r/Vju5LCIIgCOJFhBJP1kAauJdc7CWdr96FAHhW8MyozbmUcyaNJZRsckD9AQb7uMmrXp6FIAiCIAiCIF5oFMVA3lNN2dKuXMMp8/MF64uXruWU7fJMH7NYxI/XGtrGB5/3a2zW2giCIAiCeD4gJ3cN4N8bjznll0PcVQdrunENR/xZRSvSkKkdwaGHzbGbTRrrbuZdTvnSW5fwev3XDfbZ2HOjSWMTRE2j+MkTPJwzB49XrADLmh6VRBAEQRAEUe38qRV1LZIC4vJpXBclJwvWt4vnXiOtb7OkXPO83cG/XP0JgiAIgqi9kFxJDWDKtoucsouNhbChd8vKX4wO19KvGbVJy0szaaxPj3/KKYsYEbxtvPXae1l7oY5tHZPGJoiaxuPvv0fGz9sAALI6dWDft281r4ggCIIgCMJELmzRHJsgX8iyrEEd7IzEmyZNa5sPGN9HCixr1p9X16m+C+q7C2t0EwRBEATx/EOR3DWAJzmFnLKlVAwo+dIekMqraEUaZh6dySn72PpAxIgQERChrssoyECRQv/Fb6GiEMnZybiQeoHX5mLlorff+p7ry7BigqgZZPz0s/o4+cPp1bgSgiAIgiAIM3iWZJb5hXtP4f/RHvRbdhTZBcW8dpZlMefvaKPj5Kf0xrS1/3LqCuoHq49PuQejd9+F6N3vK/zl355jt2p4KDaPamvWugmCIAjiRSEqKgp9+vR5bubRBzm5q5mkDD3Cc0W5/LpqzhJuIbbAnv57cOmtS3jJ9yVOW/S/mgvXvOI8zDo2C9GHo3E/6z5Ct4Six289OPaBDoHq4z399/Dmerfpu/Cy8argV0AQVYMiO6e6l0CUUPzkCdiTp6DMFfhOJUyGVSqRMPgN3OzaDUVJ5jk/hCh++hRZBw7QeSEIgqiJPHtglvnrK44DAC49eIbPd/N3gV5IvQBbA1rb0iKVZEnRk/Z4/9Lv6vpzbg3wWqNRGN8tGpM7T8CcdqOgFImhZLi3sENa+6BnYw+z1kwQBEE8X6xYsQL+/v6wtLREaGgojhw5otf2yy+/ROvWrWFnZwdXV1dERETg6tWrVbjayqVr1654//33OXVLly7Fli1b9PR4fiC5kmomM48bAT2qY4mOnHaiFwCYdruKVqQfbce2glVw2g7fP4x5J+fhk7BPsCV2C3be2gkA+N/9/wmO1dqjtfrYx9YHu/rtwsmHJ9HLvxccLR0rfO0EURnkXbuGxAEDOXViBwdYNWvGszW2jZeoeFiFAneHRgJ37yL53DnU+f47k/sWJSXhVnh3AEDgoYOQelXPQzdlXh4gEkFkoUfGqop4MHEi8i9fBgDcieiLhuf5CYcVGRkQOzgYHYtVKnF32HAU3rkDm+7h8Fm2rKKX+9yhLCzEs99+A6tQwnFYJH2XELUShmHkAJYBeB0AA+A3AO+zLGs01SDDMAsBfAjgTZZln/87tOomU+dh5ivz9JrmFXLvCbaffYCvBjbD3qsPsfvyQ4zpFICkwiSMPKDZpfrAGaiTrunT+C6LC4EMmj++A7FWovrQ1BsAgAR74d/gaT0a4r1ugYJtBEEQxIvDtm3bMGnSJKxYsQIdO3bEihUr0KtXL8TGxsLX15dnf/jwYYwfPx6tW7cGy7KYPXs2unfvjtjYWDg5OVXDK6h87O3tq3sJVQJFclczk3++yClP7xmkOrj+N9fQWr+sR2WQVZiFJeeWcOr61eunPg7zDOP12XZ9G9ZcXoPvLmgcScVK/pZFAHjV/1VOOcAhAJHBkeTgriKKkpIQF9IIcUHBKLhpmkYiwUfXwQ2oHH3Z//7Lq09fs7YqlkRokXP8OArvqhLeZu3fb1bfhEGD1ce3Xgqv0HWZSv6NG7jZpStude6ifh3VRfaBg+pjoejrW6/0wI2wdogLCua16VJ49y4K79zhjUvo59lvv+HRZ58jZd48xAeHUDJborayFEBQyb8GAIIBLDbWiWGYNgB6AXhYqasjNGRqJYkUWwCtR+s13XbmHq+u37KjGLvlPP66/BD9lh/Do5xHnHYbnccaH/2ixPYvi/HlsdWc+ivOAQaXOagV5e4hCIKoqWzYsAEtWrSAXC6HnZ0dwsLCUFws7B8qL4sXL0ZUVBRGjx6N4OBgfP/99/D09MTKlSsF7fft24eRI0eicePGaNKkCTZv3ozHjx/j2LFjJs+5evVquLu7815TZGQk+vVT+c7+++8/hIWFwcbGBvb29mjbtq3BiPGCggJMnjwZ7u7usLS0RFhYGI4ePcqx6dq1K8aOHYtJkybB0dERjo6OmDZtGpQlksdRUVH4999/sXz5cjAMA4ZhkJiYyJMR6dq1K8aNG4cPPvgATk5OcHV1xdKlS1FQUID33nsPDg4O8PX1xebNmznz7927F506dYKjoyOcnJzQo0cPxMXFmfy+VTYUyV3NJKZzZQ1kkpLnDsX51bAaFUWKIrT/qT2vvrFLY/WxvYU9evj1wL7EfRwbbQe3IZq7NS/XGomywxYXqyNUAVVUZnB8zflSel55vHgxnIZFQmRtXWVzskVFYKTSKpuvJlFw6xbujx7DqVMWFJgcEa148qQylmUWyR9MhTIzEwCQMGAgGp49U80rEkaRmYmiexonR1FyMiQeHoBSCUYicJmhcyGozM2FSF75OSee/vwzHs35DED1RueXhUeffc4p34saibobN1TPYgiiDDAMYwVgOIA+LMumlNTNArCbYZgpLMsKXvgyDGMB4EcAYwD8VFXrfeF5mqA57vYRILXkNPvN+AsAEFrXES+HuPO6X3rATR2ZFhvLKa/pKcK03wXyD+kwq907Btud5DKjYxAEQTxXzKnGaNw5pqQFVrF7925MmjQJq1atQvv27ZGTk4ObN29CInRvAGD+/PmYP3++wTH//vtvdOrUiVdfWFiIc+fOYerUqZz6V155BcePHzdpvVlZWVAqlXB0ND3ocvDgwZg4cSIOHDiAnj17AgBycnKwa9cubNiwAcXFxejXrx9GjRqFmJgYFBUV4fz58xCLxXrH/PDDD7F9+3asW7cOAQEBWLx4MXr27ImbN2/C09NTbRcTE4OoqCicOHECly9fxujRo+Hp6Yno6GgsXboUN27cQFBQkPo9dXV1FZwvJiYG0dHROHXqFP744w9MnjwZe/fuRc+ePXH27Fls3LgR77zzDsLDw+FVcu+Uk5ODyZMno2nTpsjLy8O8efMQERGB2NhYyGTV/7tMkdzVjHYEQktfB02DthxIm3erbkEA/rj9h2C9ncyOU34r5K0yjR/uWz1RkYSKm126VvcSUJSUhOxjx/Bo3hd4+OkcFD9+XPlzJidXqP6vMs/o7moe10NbVdj8xrgbNRLxTZriyZaYKpuzJvFwzhxeXXkc18VPnxo3qmC0d1kos7MBqKK7H837AjmnTlfZOoT+1uOCgnF35EgUJiYiPy6e01Z49y7u9O6Dm527IF/HsSE03qPPPqvYBQvAFherHdxA9UXnlxkdeZLcU6eqfAn516+j8B4/YpMgTKQhAEsA2lpH5wFYQRXVrY85AA6xLHui8pZGcDi3ETijtftM7sxp/uuyJqD+3N2nWHboltEhlYe5UWtnGopwrp5x2aUCieGbZYmYbmUJgiBqIvHx8fDx8UGPHj1Qt25dhISEqKObhRg7dixOnjyJixcv6v3XqpXwvXRaWhoUCgXc3bkPXd3d3fHo0SPBPrpMmjQJzZs3R7t27Ux+jY6Ojnj11VcRE6O5396xYwckEgkiIiKQmZmJjIwMREREoF69eggKCkJkZCSCg4V3vubk5GDlypVYuHAhevfujeDgYKxatQru7u5Yvnw5x9bT0xPfffcdgoKCMHjwYEybNg2LF6s2x9nb20Mmk0Eul8PDwwMeHh56HeuNGjXCnDlzUL9+fURHR8PFxQVSqRSTJk1CYGAgZs+eDZZlOQ8LBgwYgAEDBqB+/fpo2rQp1q9fj4SEBJw+XXX3p4agSO5q5mmuRpN7RHs/TUO+1lMyG7eqWxCAX2/8KlivqwHaxKVJmcaf22FumfoR5YdlWSjS040blnFs3b8Robqc48dx7+1RnLriR4/gs3pVpawLAJ7t/hPJ06ZB7OCAev/sg9jOzngnA7Asi7QVK8rU9/Hy5XB97z3Oe6PIzETOiZOQt2kNiRlPj/XxYMIE5J48CQBImTcPTsOHlXvMyqD46VPknj4D6/btILa1rdCxFY/TeHXZR4/CcdAgk/rLw8LU7yEAPJz5MXxWlu2cVxSsUomHMz9G/tWreLplCxqcPQuxTcXsDFDm5eF6i5YAAL9tP3N05R99LvydnXviJG737MWrf/z9MhQmqKIAE/oPQINTJ6F4+lRtW2c5V4P72a4/4PHpp2WK5mYLC5F99CgsAgIg8/PTa1d4/z6/r1IJRmS6g4QtLlbN5e8PWd26Zq+1PIhsbKDMyuLUKbKyKvxzo4/0tWuRuugbAECdZd/Dtnt3Iz2IFwmGYTYAGGHA5AsApVv/tMPASo8Ff5QZhmkFYBCA5masZQxUUd/w9vZGfHy8kR4VR1paWpXOVxlIM++h3p6JnLqUBwl4Kte8rve2cvMEZRcY33re/zA/keWu5h4Iva1fgWZWu1F620qp7Pf7eTinhAY6n88fz/s5LSoqQp5OcIhVNa0FAG8thoiMjMRPP/0EZ2dnWFtb4/Dhw2jUqJFeeysrK9StW1dvpLehNZTWFRYWctoLCwtNWvf06dNx5MgRHDx4UN3HVAYPHowxY8YgPT0dcrkcmzZtwmuvvQaWZWFlZYXhw4ejR48e6Nq1K7p164b+/fujTh1hqa1r166hqKgIoaGhnDW3adMGV65cUdcplUq0bt0a+fmaTXAtW7ZEUlISUlJSYGdnB6VSieLiYs44CoUCCoWCM05ISAjHxtXVFUFBQZw6R0dHPHjwQF13584dfP755zhz5gzS0tKgVCqhVCpx69YthIaGcubRXYO5FBUVmf0ZJyd3NfMkW/MhctTecqft5Las2i0pPf174mq68cyyZUl8NbrJaNjKquamnODyZPMWpHzxRaWMnX30GO6/o9pSGnT1ChiJBJl79yJp8hQwUikaXr4EhmFQ/PQpz8ENQFDDuiJJnjYNgEovO231ariXlMtK9qFDZdbYTvt+GaQeHnj48ScAAL+ff0LikKHq9ganTkJczqQQWfsPcMrF6emQODvrsa4eWKUSdyOHoTAhATZdulT4Qw4hDevcEydNdnIrMrnb8bL/J5xE1xxYloUiI8Pog4y8K1eR+eefvPpbXbuhODVVXS68fUswyWlZSNB6XxLfGAKHwYPh+bkq8vnZjh1mjZV3/jynfKMtN4fDg/e4mb4BoOBOAqwa67/w1cfdt0Yg7+JFAIBILkfA7j8g9fbm2ZV+3rRRZmaalCizlLQffkDad98DIhHq//cvJC5VlytD18ENAEXJDyFuWDW/p6UObgB48P4EeH+3FEUPkuAweHCFPWghajXvA5hqoD0XmmhtewAZWscAkKnbgWEYGYD1AN5jWTbb1IWwLPsDgB8AoFWrVmxQUJCpXctNfHw8qnK+Cuf4MuCfj3nV7j2i4W6h+a7xdkhGUkbZb1gBgFVYoJ3vSADCW9N/DeyCs+6GczzsGN8eQb6Vm8un1p9TggOdz+eP5/2cxsXFwcpKx61thmRIRWOqg724uBhvv/02WrVqhR9++AEODg7w9/c3KNNRHrkSHx8fiMViPH36lPN+PX36FB4eHvz3UIspU6bgl19+wf/+978y/S31798f48ePxz///IPw8HD873//wz///KOec/PmzZg6dSr27t2Lv//+G3PmzMHOnTvRo0cP3lgWJbKaVlZWnDWLxWJIJBJ1nUgkglgs5tjo9hWJRJw+peNo9xOJRLy5RCIR5HI5p45hGM5YgwYNgre3N3744Qd4e3tDIpEgJCREPb/2PHl5eQbff2NIpVKzzwvt8apmnuZqnNxO1lpO7myNIwPyis/umpaXhk+Pf4qVF1fyElhtv77d5HGaujY12fa1wNcwocUEk+2JiiP3wgWDDu7H332HB1OmlFkCodTBDQAPJqgigJImTwGg0oVOW74CTzZvwc12fK33ykZXZqI4JVWPpQZlbi4ezZ+PlC8XCEo1CDnpSvH6+iuj42s73LQd3ADfIVgRFJm4TasqKX74UB3tm/3vv2AVCiM9DKN49gwPP52DxMhhKH7yBBb1A3k2mXv2mDye8hnP51ImlHl5SFmwEI/mz0fioMG42b4D0tet12tf+OABEgcNwpONG3lt2g5uQBVZbGicp7/8goydO40mKVTm5KDwFjcyL2P7duTHxeHJ1q0G+1YUiQMHImPHTgCqhwEpX3+NG5064dnu3QZfZ6mDG1B9bhPffJNnk3v+PM/xDgBFJnwXaJP23fclEylxsyP/AruiYVkWeZcvI//6DcF2RUZGpa9BH0kTJyH1q6/wZN2P1bYGoubAsmw2y7JpBv7lArgOIB9AS62uLQDkARD6I/cC0AhADMMwaQzDpAHwAbCSYZgXU4ershFwcAMALLgP0+q725g5MF97O/vmx5gw8FUBWxU/No7A5O71MTzMV7C9ibc9mvs4mLkOgiAIoirYsWMHrl27hh9++AGtWrVCYGCgQQc3UD65EplMhtDQUOzfv59Tv3//frRvr9//MGnSJGzduhWHDh0q88MSCwsLDBw4EDExMdi2bRs8PDzQpUsXjk2zZs0wffp0HD58GF27dsVGgfs8AAgMDIRMJuMkmlQoFDhx4oTaiVzKqVOnOPd4J0+ehJeXF+xKdqzLZDIoynl/LUR6ejri4uIwc+ZMdO/eHcHBwcjKyqq0hKJloUZGcjMMIwewDMDrABgAvwF4n2VZwbABhmGaAVgA1XZGDwCdWJY9KmRbk4h/lIn4R5roLCdrGcCywO6JQLxWFJ9dxWcO/+HyD/j95u8AgDq2dRBRL0Lddi/LdM3NdT3W4bcbv+HL018atZ3RZkaZor+J8pP69SKD7WkrVFmHs/7ei6C4WJPOE1tYCEYm4znQhCJe05Yt49WVBWVBAdiCAohsbYHiYpOSKia83p+7vkOHDNqzRUW4Fd4dihLnuNjFGS6jR2v6//efwf52PXogedqH6rJF/focbWVTEJJ5KaX46VNk/rUHVi2aw0pgy5dSa9uSuu7ZM4NjAqr3NnPP35B6e8G6TRvz1ltUBEgkZn2+748bzyln/vkn7A3otOmdm2WRc/QoJ8nkzfYdDNobWmdxejoSXu/PcygDQOY//4CRSGDTrZvJrzVl/pfI+OUXTl3qV1/B+e2Rgva3u79s0riA6jMoRP6NG0joq3kvs/7ZD58VywVtM3buxMMZHwm26X52KpuHH32Ehx99BKeRI/FkvepBQPK0D/Fk4yb4//qLkd4qipP5W9/vRgrL9ST064e6P22FvEWLMq234PZtWNSrV6a+ppD61dfq90EItrCg0uYGVA9HH82dC5lAZHwpaStW4unWn6DIyIBILkf9I/9VaXJdovbAsmwewzBbAHzOMEzpdsHPAWzSk3TyPgBdD+cJAF8BqJqnby8SZ/V/1+iiLbVoCi4W3Oumoa9OB1iZ3l1N0rq+SFzQGwBQrFBiy0nufcnmUW0QWteR7ikIgiBqKAUFBUhNTcXGjRvRpUsX5Obm4sSJExgyZAis9VwnOjk58aKKzSE6Ohpvvvkm2rRpgw4dOmDVqlVITk7G2LFj1TbLli3DsmXLEB8fj/feew+bN2/Gzp074ejoqNbutrGxgY2NeQ9zhw8fju7duyMhIQGRkZEQlcghJiQkYPXq1ejbty+8vb1x584dXL58GePGjRMcx9raGuPGjcOMGTPg4uICf39/fPvtt0hJScH48dx75+TkZEyePBnjx4/HlStX8PXXX+OTTzSBdH5+fjh9+jQSExNhY2MDJ6eKCZx1dHSEi4sL1qxZAx8fHyQlJWHatGlGZWaqkpoayb0UQFDJvwYAggEsNmBfCOB3AH0rf2kVx2vLj3HKTtYy4PZB4PwmrqG9/htMIRRKBTZc3YDvL3yP3CLhRHs/xWsS1M88OtPomJNbThastxBbIDI4EjPbGh5jc6/NsJbSjW91IRTFqA9lpvEI1uQZH+F6q9a4985oxAdznyoylpa8CEObcONJ3owl9kuePh3XmzXHjTZtER8cghsdOyH3wgWDfViWRbFOFLMyN9dwZOvHn6gd3ADw+BvuV8/9MYYTwTIyGdxnaj4PdbdshlXz5gb76KIw8F48/GgmUubNw90330KxgL66UHTnvbdHIT44BLnnzvHaAJV0yK0uXfHwo49wT0v+wRSyjx1DfJOmiA8OQbGJiR2LHz9GwQ1u4F76+g08O0VmJvKuXEXKwq+Q8dvvgmNl7tnDcXAb43bPnnj68za97Y8+nyvo4AZU0asPxr+HHCMPOrTRdXBXJJl7/ubVPZg8hePgBoQf7LAsiydbt+p1cFcnuo7d/KtXERcUzPvcKs3UzBPi7tBIFCUlCbYVP36M4vR03OnfH3FB/G3z2UeOlHt+QxhycAMAW1C5Tu7kD6ejIDaOJ3+kS+l3jjI3Fw+ioyt1TUStZxJUUdul/64DmFLayDDMTIZhrgEAy7IKlmUfaP8DoADwlGXZykku8qJSkA38OVm4rTs/MfCl+xl6h3KxsVAff/CySqFmUOJfHJsMmTPmRITozYkgb6EJ9peIRWjjp7kxXx/VGp3qu0Iuqzk30wRBEASXIUOGYOLEiZg1axYaNmyIbt264c8//9Tr4K4I3njjDSxZsgTz5s1D8+bNcfToUezZswd1tfLopKWl4fr16wCAFStWICsrC+Hh4fD09FT/W7RIExy4YcMGMAyDxMREg3N37twZ3t7eiI2NxfDhw9X1crkcN27cwKBBg9CgQQOMGDECw4YNw/Tp0/WOtXDhQgwePBgjR45E8+bNcfnyZezduxeenp4cu2HDhkGhUKBt27YYPXo0Ro0ahSlT1JdUmDp1KmQyGUJCQuDq6op7FZQ8XiQSYdu2bbh8+TIaN26M9957D3PnzlXLpdQEatwVAsMwVgCGA+jDsmxKSd0sALsZhpkiFO3BsmwcgLgS26pcbrnIL+Ju37MsegZsGcA3tPEwa9wZR2Zgb+JeAICYEWN8c+5Tn123duntq+sUb+vZFp28O+HNEP4WcG3CPLkSCyHOIYhNj1WXm7s1N2XphAF0I1CNRaSWUvRQf1IfIRRZWQY1oQvv38eznTsBADlH+Rsm2IIC3AjjZiVmRMbXeTdyGOr9LSwnkfbDGjzb9QenTvnsGe4OjURwfJzeMdlc4Yc8iYPfgPtHH0HeUiCC8wZ/1/T9seMg9faG+8eGH+Z4fKa6GXR6603YvtwdYgcHiKys4Lt+nTqpnymk/7AG7jP4P36sUonsw4dVx7m5yLtyBbZdu3JsFAYczXeHDUdQ7DXejWXGL79ynOOJQ4YafF+1uT9KI1WTOHAQAg8dNNrnkYDemrxlS2Tu3QerFs0hdXdHUUoKbnXpyrEROztxXm/q0qVIX2melnfR3Xt4NGcOpN5esBHQdMvat0+gF5f77441+f3RR+lOCE6dkr+l2xAZv/wC6/btYN2xI8S2tsg5eRJZe/cKz6fzfZF34SJS9CSUrKnkXbgAeUvN58jQ33opxqRaAODJps1w/2gGd66r15A4cKDBfln7D8A5Ksro+GUh79IlozamPlQqCyzLokggWacxcv41/QEQ8eJRIlvydsk/ofb50CfSrGr3q5yVveBk6blOnJkMyLgOCdVviWrjqS5LhzRH7yaeEDEMipUsZBIRvtl/A31PcY1/H98RLUu0tH1+XMu5jgAAt+kfcsrbx7ZDbmExxCIGFhLD290JgiCI6kcikWDRokUch3FVMH78eF7EszZz5szBnDlzAJh2j5CQkICQkBC9iSJL0ecId3d3x++/Cwdq6cPCwgJLlizBkiVLDNpJJBJ1ZLoQDRo0wIkTJzh1GzZs4JQPl/gVtLl6lZ+b75FO0OBLL73Es8vO1qRP0Z2nqqlxTm4ADQFYAtAOOTwPlc59AwCXyztBTcy8Xo9JAr7yF+wTf/OW0XGvPLuCG9k30MWli9rBDQArL63ES5YvcWw/OcVPwHX26lnYSGxwM5srqxDtEw0RI8INPZqgpeQpuEoyY7zHYHL6ZM1reI6zHldFVmf2cRow9QMgJxdYvQpYs1bljJ0wAUyL5ob7fjLLrLluX74CJlt/jif2f4eNLJb/g2EsEhAACh8/Fnwf2ZRUYLH+jRxxcXGCzn42KwvQJ+dw5QruRkWB2c6N6GXT0gTtSx3LT91cAVdX4PFjrsF74wEHBzxq2gQp2q/hmVZikKgowMQv/CcbNuDpa3zpDvYA9318cOs2GA/uQzDWgN4zAMQfPAjGx4fb59NPeXZx166BMaKdpktRcrJJnwX2b74j9unWrXhaqv+8aSMQxZfzeDB2HJidmiSIrJkObm3ujx7DGQswLzK2vJ/5+LB2YLZyZWVZE3ZR6JI0RRU5y+zcAdbARVR8r1fBLPlWM5dWlEFt4W58PBi5XP2dy377raCd9rlhr1zhNtrYADrfb08eP8ZTnfPJDuVq5QuRd+4c4g4cAI4cAdq0AVOB0iXsG0OM2jya/SkeHTkK5j3hi3k2Lw8QicDoRFawLAs8ewbGQNJNNjZWb5sxyvLZqIrfUYIg9JAr8MBsVjqUIhH+SdyLjl4dYS21xpw/rmHHhSRBB/fMV4PQr7lm56msJLhBLBDkEOJppz626dABDU6fgjIvH1AUQ2xvLyh5RJHbBEEQRFWzZ88eLFu2rEZJcRDGqdKzxTDMBgAjDJh8AaA0jE47bWzpsR0qgJqTeV2T6GuHjO9kKsXY+tLy0jB3+1ywYPHzg58N9i9SFAGn+GPsy96HmW1nYtCmQZz6EB0pCkMssV2Cb85+g8/af4bWHq3xsdXH+Cn+J8zvNB9BztWf9ViZk4O8q9cgb9nCJC1nUzEnq7OysBB55y/AqmkTiORyw7Z5eci7dBlWLZrj+muvaxq0I14++wxBBiJKM377HQ8FnsYB4OjeamP799+o8/13ese8M3MmKmqTvEVwMAriStafnQ2vhATY9erFsUnesJHzZaCLX2EhrJo149Rl7t2rTnypl8JC3nl7+OkcZBha7759KNBycFt37AiHAf15axZkRhAeFRZqHLlGsPj4E/j/9iunLk777wCA0+NUuOu8hrg//4QhvAHY6fYRsPN5moHcUyeheJYJ1ymTweblQZGRAUutpBcsy0LbLSX18kKgkc9C3tVrSDRoAeAt/T8T9jEx8Jw7F3lXrhofxwgN69fnOPJTvlwAU2NjTfnMP/vrLyTra8zNRcOGDTkPaApu38YdE+fXpWH9+oj/Y7d+g8REzprjzIwaL8Xrm0VI/mBqmfqWm8/nomGcyvkaFBSEOD1Rw/W9vSG2VSVKy0xMhLYYSfDZMzzpEffmzeGk+5koMlFz9v2SZMrbtoMFIKtXD55z5wrvEjEDk/cJ7N8Pv3Fj1Z9LlmWRf/UqFBkZqu9AloXfr7/CIsAfLMviZvsOajkkh8hIeMwWfgj66NffYFhASj9Cn43Cu3fBFhXBIpCfEBYw73eUIIgK5gQ3CuzpqH3ovIX7HTan6Q5sPHGX13XV8JYIdLNFoBtXv5RlWcTExUDecCGnfnbHN/CLlPsAXWxnB7FdhdziEQRBEESFcebMmepeAlEGqlqT+30Argb+zQdQmolRWy+h9Nj8MLcajK2F5hmDHSMsq4DRhpPkAcChe4fAQv92ix03d0ChVOCn+J/QcouwZMLP13/G7jsGHCQmEO4bjj3996C1R2sAwJCgIdj12i40cuYnx6tqWJZF4rDhuDdiBOKbNEXB7dvGO1UCSVOicS8qCtdbhuKBESfs/bHjcC8qCve1kiWYQ+H9+3j48cd628X2wjcUWTpZiUsp1b+VurmXaT26yAICYNORmyAwaUo0T5u7VBpFH2mrf+DVGXVwl5B37RqnLHF3M2hfEMt1PfmuXWOag7sE53dG6W2rs+x7Tjn/2jUUPhDWCi7lycZNBtuFyPyLKwmTdUA4yv7+6NFIX7MWGdu3I3HwG7j1UjgS+g/A023b1Ta6cjUiB/0yN6UYk4AwRsYvv+LZH3+g6KFe97HJKHXkbJ4IZLq2NpCR2xCF9+4ZdQYrc7jzG5Lf8Pv1V71tgLB0kC6lGu76tud5mbCl0L53bzQ4ewYWIXyNanNxGDTIuJEOBTdUu40MSbtov49skfFM34rsLKM2plJ4+zbuvfOOccMKpOBOgvo4Y9t2JA4ajPujx0CZkwNlbi6Sp6r+Dp9u3crR+3+6dSvigoLxYMJE3pgyX918f6ZTlJIKhVa0fN6Vq7jdoyfu9IlAXFAw0qt5CyNBEFrMsQfitOTgmgzCoJP8HZ9zLr8OCNxr9GzsyXNwA8DZlLNYeGYhwLLI14orsWzauiJWTRAEQRAvLIcPH9YrU0JUsZObZdlslmXTDPzLhSoJTT4AbW9sCwB5UCWpeS64/igLWQVGbr7H/At4hxodSyaWGWyffXw2dt/Zjfmn9MocAgA+PqrfIVrbKUxIRIHWVug7vftAmZNTJXPnx8fj4WefIfvIEWQf1OgVZ+3dC0WWsHNFkZ2N3FOqkPvcEycNjn/n9f6CCQhzz5zl1ak1gBkGdr17o+7WGEAnql3ixnX0siyLG2HtcL1pMzyYMgWygACD6zEVz8/mIF1AWuOZmbpVVk0al3kNiQO4DleJk3OZxzIFqZcXfNasgUguh9Pbb8P2lVcAAFatQmHZpAnP/nb37upjfX8rRXqSJOpDV7P5QWkkqi5ajlBtbd5HWtImugkfC2LjOEn8ih8/RlxQsOpfo8ZGk4uaSvKH01GcIvy6bV/uzilLfX2BKOHIcKWWI44VkLYJPHQQ+ToPQkrRPh9Fycl49MV8PPvzLyiys1GYmIjbr/Qw+jqebFI51dniYuRfv4HC+w8E7ewiImDVuBH8d+6Az9q1gjYpX39tdD5lnkpWKufYcV6b8zujYN+nN3x+WM2p13ZEe8xRnXuxjQ3qbtiAOiuWo+G5swiOj0NwfBwC9nCTi+niMOQN9bHvpo3wmPMpLILNc5YXp6l2UigNSCoptGSCtL/nHQapPu/WHTty7JVZ3LFYU6O49cDm5qIgIcG4oR4MaW1Lvbx4dY+XLlUfPyrRGdQmv0R6JPvwv4JjZu3fj4JbXFk0Qw8XrTt0gLy1fkfVrS5dcKNVa9zq/jIAIFHnYUaBEfkzgiAqmQfnVM7tOfwH002yTyElN0Wwm5XPOpOn+POOaleZVQFgqfWVOnNgBz09CIIgCIIgyk+NE5dhWTaPYZgtAD5nGKZUZ+FzAJuEkk4CAKPa760tOiljGMYSQBHLsorKXXHZGLn+tPq4KaMnqtiruUljbbzGjz7UZdYx83SZAeDgIOMJ5GoLWf/8w6vL3LsPDgP6V/rcCSUSExk/8aVkck+dgk14OABu0lTlM0MCHVwK4uJwd/ibqPf3HrAsi+vNmgs67ADA75dfkPnnblg2agyZjw9kPj6o/+9h5Bw5guTpqsRrUp3ECln796uTEmb9vRcSL0/dYc3GfkB/yFu3hsens/FoNleq5/Gy5XAepT/iWZcnMVvhPGoUGJkMLMtCoUdXWx+lCQBZhULQQVTR2HTqiIbnVSkHSpO7SX189J4zZWEhRDIZMvf8Ldh+q3MXBMfHgVUqeVHZzmPGIP0HfqR7KeYmOjSl763w7vD5YTVsOnfGzU6dNQ0KBR59OqfM8+mS8sUXvDrP+fNh2z2cowHvPvMjPEgSjojXdpTqRs1LvDwh9fKCUo9O943WbWDdqROcR41C+po1yDl2DE83bzbrNaR99z1sw8OR0O81Xpvty90hq1sXIhsbuJTs5rA0IOdQeIv7O2LVKhSu70/APa3EiMqcXChzcnBfINLY9YMPAAA2nTsj8NBBKHNz1dISTiOjADCwCNDkjRDb2cH2JW6+B4uAAATs/gN3Ivqq66Te3ihKSoI8LAxu0dGQOLtA6ukB6zZtAAD+v2xH0aNHkNWpg+wjRzgPTmT16qFQZ9fN/VHvAJ/NQZaODJPE1RXFJVJC96JGos6K5ZC3bs35TDOWVgAAzy++wO1XXlFrsD9Zvx7uWonOFHq+f6V16sD3x7W43aOnYLs2d4cNR4Pjx4zaCZG68Cu9bW4fzUCSTuS1qQkiLYOCkHPkiGBb0cNHHCmRfAOa3L4/qh603B3+JnLP8h+mqsd8IPzQRpmfJ1hPEEQVUJANrH1JsOkva8MyehIbTd4el7wMuOfwH8jFP4nH8gvLcfjBYQBA+CVu9Hewl4N56yUIgiAIgjCDqpYrMZVJUEVtl/67DkCtP8AwzEyGYbTD6+pCFeldeud0sOT4zSpZbRlIfqbx1/9hoeOAlsqBUcYT9ZVyK8N4Ysqy4CY3LN1Qm3gskJ025csvK31efQ6yUh68PwEJ/V7D9dBWyDl5Su3oVBiIUhSisCRqMOuf/XqdpQAg8/eD2wcfwK6nJspU4uTE0bQu1smeW5iQyCkXJz/kjVtn1UqT1xp0+RK8ShyU9n378trZPI0DhC3m7nawat4cQXGxsO6giQRSpKUhZdEiXG/TFvHBIVzHqgmURuSmfmU8ElYb257GHV3GYBgGMl9fMAwDkU5yuFIKExKgzM/nRFALkbVvH5ImTuLUOY2MQtC1q3B+911OfamDOmP7L2VatyIz06CMTvK0D6EQSKKo+7BJd9dAebEOawuxnR0nUte2a1fBZKgA8HjFCvVxcSo3cs1xsCrq2HPuXL3z5Rw5gntRUcg5VjZnJgBBBzcAKPPy4TZ1qtrBbS51vv0W1mFtIfPXOKYT+vVD8oyPeLbe3y7mPGSTenlxHJ4WAQEcB7chLOrXh/fib2DdoQPqHz2Cups3wXPeXHh/swhiOzu4TngfDlqSNYxEAlnJgzWbTp1QN2YLAEDepg38YrYg6PIl/iSfzsFDnYS6xVoPt5S5ubgXNVKdlLOU7P/9T/X63N3g/gl351LOSU2yCqEoZvv+/RF4YD9kdeua8C6oJFMy9+4zbijAs1279LaJ7YxLAglRlJqK9DVr9Lbnnj+nt82iYUPBel2JJcFxBbQMDX2mCIKoBFgWKC5U/f+lN78ZgBLADDcXo0PJXP9B77v/w+Z987Do6ArEBQWj8K5Gq3vQ7kFqBzcAsPy8kwRBEARBEJVGjXRysyyby7Ls2yzLOpT8G8WybJ5W+3yWZRtplRNZlmUE/m2olhdQXj5+CPhUr2ZdHZs6xo1qCfq2nhva7l5RFCUZ1w0uuHEDbG4u7kVFIb5pMxTcvKnX8WWI3HPnjOoUi2TC0jZiBwf1sa4sxuNvvzU4ptfXX8O2a1deBDgA+Kxdi6C4WMhLojZdp0zRSKYAYPQ4dtVr0YmorLs1BgzD8JyKTzdthlLAqaqNx+efCdYrc3LAKhSCesyGkLgYvxk0l3oH+HroqYu+MRiNDQCpS5bwHHoAIHF0BCMWw+5Vrm546d9+WSPXb7Rpi5z/hCNCAdV5u9mlq9FxnN8ZBcumTQ3aiJ2d4bN6ldGxpN7ekLir9OJ9165RS2gAAFxcBftk/b0X+SUyRrnnuE4+51FvAwDsevaA89h3YVHFSfGKUx7pbbN/7TWj/UsT2xbqyGYIae6boytvCnavvgrfH9dC4uICqZcXHAYOhMTZNCkgeWgoguPjUHfTRogdHMDIZAalMdQIPMjQfaiiLb2iK1GS+s03AFS5DFIXfcNpC46Pg9d8/s4BYyRNnsx7UFdK0aNHeDhrNh5MmIi8q8KSOKV4fPYZHAYNRL0D+2HVTPjzYmxXxq3OXQy2p6/UfMZYBXcDnMcnH0PeqhUgkcBD6ztD7OAA76VLYd+vH8AIe7LuvvkWp2zTPRxiG75+L0EQlUReBvCZAzDPVfW/DhkiEfp7e+BlH74UkhCR8Qfw/gWuNNXtaao4pIz8DJ59h1it76Z2xiUYCYIgCIIgykONdHK/SDjDdFkKIZRs2eUGtr66FVYSK8G2La9uKfO4NQ0hvepS9CVgqygUzzLM7qO91d8c7g4bjtQFC40bCiCytlYfK7Oy1O+LUDSuNj4/rIZ9RB8AgG2J7Eop/rt2waZjBzAMA9+NG9Dg7Bm4vMvVcGb0OEYAIP/6DdzsoInIlfn5gRGpvrLsyyAz4zh4MIJiryHw338hratJqlacno74Rnxdb33Ri6U4jx5t9hqMIatTBw1OnuDU5Rw5grQVhiPl01etNthuqfNakowkRKwItCPy9eEwYAC8vpgHi/r11Q9CdFGkp8Omi2EHHQD4rF4FRiwWbGP86sK+v/DfTMKgwXi6bTvYfM3uGtuXXwZTolXPSKVwmzwZATt3wN1AIldDyALrwaZbN8j8/dWRysaQtxZ+PwDVAxu73r0hcRV23gMAYyX83V5Wu+rE/eOZBtsd33zTJBkl59EamRanN4dz2vKvXAEA3H75FaPjeC74ElIvL5MeNjz7809eXfHjx7jVtRsyfvkFWfv3q+VjCm7dQlwQV6NcFhAAxzcGw3PuXMjq1IHI0hJOWhI06vXHxSHn9GlevTmU6nLr7uaxat4cvps3ocHJE3DU0lUHALser8Br4QIEXePKx+jDh5LkEETVsm24weaJ7i64JZMhVcJXsMy+NQ2F6ZrrMLGCxRtHBO47LschLS8NnbZ14lQPO6RAoNbmPzvH52eHKEEQBEEQNRNyclcDBcWaKKmDFjrOpoBuZo31NN/8RG69/Hrh976/o4lrE+QVCzuiHCwczB63pvJkk36d3PjgkDJvKTeFpz/9VGljm4PY2Rm+637U287oJJ8sTExU/X/PsNarVfPm6mOHNwZz2iwbNtCMzzB6o/cs9UQmJvTrJ7gmAHAcMsTguvTBiESQuruh6O49dd0DHX1bAJD6+MB3rf6t/XVWrYTUvXJu1sQODpD5+VXK2KXkHDmCxMhhlTqHKYisrWFRvz4Cdv+Bups2wncDPxFpKQ1On9Lb5vpBNEdeQwiv+V9oIru1KSrCo08/RfoaTUJHfclVnd4cDoeh5v/t+W3dCp+VK1Dv7z2Qh5oWyeY6UU9CUKh2ZHh/swj1j/wn2C5v1Ur9QEj3s62LvjFqEsaiwN1nTEegQN4FbeStW6vfE0D1voidnNRlu4gIwX7W7dvx6hxeew2Bhw7Ca8GXvIdSujwV+P1Jiv6AU1ZkZECRkYE7ffhr8Nu+jVfnPmM6729ZmZWFe28JJ1gVROCB0J0+Ecg9dw63wrnJWxmp1OB3OKD6bg2KNRyRThBENZCof9cVAFywtBSsz7kdDbbIGQWpfdR1wff1B4Y8btEJFoXc9n6nuOUsPclvCYIgCIIgKgpyclcDa49oto87MDncxqDeZo11/cl1wfpZYfoTTX7Y5kPUd6xvcFyxSDgisrbBsiyerDOcDT5p8uRKi+jO/GN3pYxrLr4/roV1+/Ym22f/q7oR0dUp1kVsZ6c+tggIgPeSb+E8bizqm5FwzX/bNvht4yblLH7CT2akLblh1aSJyeMDgP3AAXrbhBJVen42BxJXVzhFRYGRyzkRoECJznMlYmNkfPvXXzc6RsDfewy2550/b86SKhwhR7KQc9//D5U+sdjODg0MJLkzFcdhxp372vI9ujhFRpo1n+uUKZzPCaCKFC/PGrQR0kXWloDx+cFwlH9tkI6QuLoa/AwzYjEYiQQ+a9fqtXF8i5+iw23aNE45q0SzWxvXyZMNrk3s4AD/Xbvg+KZwCpD82Fg82635HSi4c0dQp/pGGN+ZDhg+P2JXjWTSk/UbDK5TF6cRIwRzKdwdZjjq0xCMSGTwYRRBEDWLixbCEnYAoCzUPMjPSRwHAHDK0metYvM3miAeuxz+dbXr+++buUKCIAiCIAjzICd3NfC/+FQAgAgCW/7MjOSedYzvzPax9cHghoMxpKFwxKGNVHPTzIAvF7G021Kz1lCTKU59bJLd9RYtoTSQsNFcilJSwSqVeiUYyorX119xyqY6wiwaNDBupEXqgoWICwrGg/HvmdXPrmdPuE2aBIlWhKQpaCe+BICb7TvwbHJ0HEOmbI8P+HsPvL5aCHedZHv6pCtKKT1v7jOmo+HZM3D74AMExcWi4eVLwtHAFYzT2yMNtrtNm2rw9Ut9fGDhz00UaMrfoms0X9fbGEKRrqYgD23Jq5N6eMBt2lRYNGwI+/794bftZ1hq/e2Kbax5fQDAcajpjmf36R8aNzLw0EtWr57JcwGA88goXp3XIsNJTm179DDYro1NeDhsunF/N2S+PupjeVgY5G3bCvZ1mzHd5HmqG6958+AvkJDR6yuNRJOhv0XbbvzfVrGdrfo4c/duPBg3ntMusrGBpQkP1CwbNoDHxzMRdO0q6mglMy0leZrqb644PR2JAwfx2suK4rHmAV3pg0ltPOboT1bL5ueZJANkLmI7O72ObhcDuxMIgqhgjiwGFhm+9vvKyVGwvvAp93pBmVcXeUlvoOVtzW/j+XqGM0p6CygFOkYONdiHIAiCIAiivJCTu4pRKFmcvauSGLljKRAx5WJ4y70uNjJulNeCTgvw1+uqhDDvtxCOmLAQa5L9HR16VH08JXQKroy4gpd8XzJrDTUZ3aRrQpFrAMDm5+Pp1q0VMuft3n1wq0sXxIc0Qv514Uj7smLdoQO8vlkE+4EDELDnL6Nb5QGgwZnTnG36+hDZ25u1FttePc2yLy/aDh1AFb0pdhS+QQOAhufOwsLfH/Z9+/Kco1ZNDTuuGC1tSrXsA8PoTdxZ0Ujd9EuhNLx0ERInJ73604CwxIGx5H3+O3fwIta10acl7TB4MCCg5amNTXg4z8kudhR+EOI8ahQCdu2E1/wveA8/ACBgjybhlUVQEHx+WK3X+S0EI5PB84t5Bm0cBut3RDIiEXzWGE4ECqgi1evGbOEkWi1FZCThquvkSUbHV6+HYeC9dAmnzmHAAE67z0q+4xVQRfPWJiwbNkD9Y5rfrDorVsC+ryaHASMSwfUD4Qc1jMDfqKF8DQBQ/9hRg3kDeHOIxbB9qRs8v+AnqXy2+0/cjRwGZW6uyeOVB5FcblAz3HnMGP5rM+O1GkJsZyf4e2JdwQ99CYLQQ+wu4OBnQLbwbrxMVo7vi1/DLZmwnFXBo368OvfkOmgfp3FyX6vLYES08HVI5ytKfBbDTWDrNHIkRHqkUQiCIAiCICoKcnJXMQO3ljpdBSIF2/O1gY2h7ZDuWqcregf0Vt+42sns+PY+L3FubO1kdrj45kWcHnYabzd+2+z5azr3dBJ02XbtCnm7MEFboUg4feTHxeHR/Pm4Fd4d7LtjEd+sOeKCgvFk02YU3r6ttlM+E04satfbPFmaUiROTrDv3Rte8+bBokTuQXfLfSk+a9ciOD4OYltbwXZd9K1VPbe7O6fs+fnnJo1bUYgEtu3XWb5cv721fsdn9tGjettqMlatQo06SN1nz4JEwPlv2z1cwFqF95JvYRkUBIZhINOKAJfW9UVQXCyC4+MgDw0V1G8WOzjCZexYg2tyenM4T1bDItC8iGh1v4AANLx8CQ0vXkDAzh2w6dzZ7DGU2dkG241JeNh06oSAPfrlYHx+XIt6e/4yWX8bUO3ScBk/Dr7r1/Gi8I0hksngv2snXMaPR+D/DvF0uEVyOXzXc2Wb7Hr3NsuBW1OQODuD2bkDwfFxsH2JH50tD23Fq7Pu1IlXBwBWzZobnMvYZ01vP1v+30/ytGkovHu3TOPpQzuKXZeG589BZGkJ/507BNulHh4AAN8NGzSVFSjbJfR7Im/FPzcEQVQcRcoi4NYBYPtbgu2DCmbj/cIJCC/4Gt8o+iJPbwCEynntbC2Dp70lxCIGy05wg0RSnMSIajMecyK5YzhmsXj/T/5OVZN2UREEQRAEQZQTcnJXMXnFqpvI8eI/+I3h+rcW6yO/OF993NqDG6nJMAyauWoiIb/q/BWWvsSXIhGLxLCSWJk9d22lzrffCtaLbUx0Bufm4u6IKDzdtBlFSUlASgrYggIAQMr8+SaNIbbnP4DQRerrC2jdgOiTyXDUkwjPpiNf8sMQbh8avgFxm/oBHIcNg32/fqh/4rjJzvOKQsihI2/ZAjYvqR70SLw81fWGEhgCgEN/YX1f57HvAjr64NWFTMfR6fL++/BdbVhfGQAchwpvB7YMDgYjlwu2actj1Fm+HDbdw+E6aSIC9+3jOEIlrq48PXCxowOcR78DhyFv8MYVyeVwHjcW8rZtIbaz4yQZLeuDHkDl1C1PRJi0Th29baZKtlgE+MO6C9/B7vfbr7DpYN5nDwDsIyLgOnEirNuVTf7FsmFDuE6cAKmnp2C7dbt2cBqleZDpXoukSsxBSJrJ6U1hnWnt5Li66HMOm0JF6Zwbk/fQ94BH++/SMigI3t9/xzXQegiiLW0jhCm7FgTRcZ55LVxQtnEIgjAKy7J4c8+baLm5JZb+pT9gZca7I/Gnsh0ewxGWnnz5JwAY32ApPni5AS7OfhlnP+mOEx+F4+bnr8AyJ5Nj937EFxjffDxi63I/66uXcSO4CYIgCIKoXURFRaFPnz7GDWvoPOTkrkK0kxt2FV/kG4gNb/kXIrtIE5FoLeVHri7otACjGo/Cj6/8iF7+vXjtzzNscbFgvdjBAb7rfuTVZ+3fb9K4uWfOQJmZadzQALbdu3PK8lateJHK8jatUef77+A04i3BCNpSGKuKeUBh1aK5wfbilBR4zPoEXgsXCEYKl5f6J44bbNfn0KmzfBkCDx1E/UOHEBwfh+D4OFiHCUfrq8fq1lWw3m3yZDBljN6saLy/WQSJhwcsQoLR4OxZuL7/nsHodABwGDTQYHRuw7NnYN2ZH9Wq3cciwB8+y5bBZdw4wTFYHe16iZsbRBYW8JwzBz5r1qjr3Wd+hIbnz8Ft0iT1+P7btiHw38MIunbVoNxKZWNIi1jesoXJ4+g+dPCcNxdWjRqZ1Fdbaijgz6pJUOs+bRrqnziOhhfOQ+LqWiVzVjViG2tYBAdz6kRleCBnGRRU5jWUZT5dXKdMgbMRORmh3S0A4LNsGads9/LLqH/0CBqeOwu/n39C8JXLmjHsDD9wtdETBW8Unc93eR5qEQRhmMtpl3Hx8UUAwFoHe8xwdRa0C/Vzwq0veuHS7Fcgtb/AacuKn4t/Bx/DuHYvYUJ4fTjIZerf7qy9+3hjNfZX5Xq49NYlZBq5DLWLiDDzFREEQRCE+axYsQL+/v6wtLREaGgojhw5Uu4+c+bMAcMwnH8eJTsiaztdu3bF+wJJoZcuXYotW4SlSmsD5OSuQvKKNNENmaxORGW3j8s0pnYkt1A0dh3bOpgcOhltPF8sLcyihw8R35iru+y7caP62Lp9e8Et7Mr8fI5Oa35sLBRZWShK0ega6koBmIsssB7k7dpxEth5fP45Gp7lJlb0nD0btuHhcP/oI4MOKYZh4PX1V7BsqomSFUrQZgxjjuvSiOnKQuLoiIYXL8D+9dfhPGYMGl6+BFmJpIW8bVtBTV1A9fqlXl5mzVUbZBosQ0IQeOggAn7/Xa/mdOChg5yy6+TJBsdkRCL4/sCNzDSkwy1E5l9/ccrafzc2nTqi7k9b4b10qd6Icqm7e7U6uAGVPrO+98qQzrsQfiWR/9YdO8J+gPAOAcF5HBzUD2UsAs3LxVAeJI6OEFXQg7GaiteCLzllsZn5BsqbIFGf81kXQ99bLu+OMfpQi5FIBDXfhX6jJC4uEFlbw6p5c069oajzegdMe/ArhPtHM9THbtOm6f3+Jgii/DzMfsgp/2VjjXyd65zdCtXDf4lYBKm0CNZ5LMQKVfANyzIAK4WTlfBDL938NoDqOwUARIwIdnmG1+c5t2rl7QiCIIgXj23btmHSpEmYOXMmLly4gPbt26NXr164d+9eufs0bNgQDx8+VP+7cuVKZb+casXe3h4ODg7VvYwyQ07uKiQjt0h97MhoacL6dwY6TinTmHsT96qPXyTJEWPc6sZ3yFq35Tr6dTWCAeBG+w642aUrsg4eRFxQMBL6D8CN1m1wq0tX3H9XpTvMKvhag6bQ8Pw5+O/ahYDdu8EwDOr99Sfq7f8H9Y8egUWASpoi6MpleMz9HA0vXhB0XujDPiIC/tu3qZ1mhrbh60Ns5ItM5mN4W3tFILK0hNeX8+EWPUWlM/zbb/D7ZTtPT/hFwVjCUImnp1qmRRZYD2In4WSOupRKMUjr+posz1GK16JFBtvlLVrArscr5X4YVNk4vTlcULZEYiDppxBWzZohOD4OvmvX1IqHJy8CuufQkJNbO5ElAFg2a6p3F4OpmCqlU2fFclXiVh1kJfkWTJpLR4JIWxLIVHQd3wDg9/NPkBmQ9TGGw4ABcB43Fs7vvgvH4cPKPA5BEMZJy0vj1Z3X2ZX2o9tMAEBRSgruNgnF+iUK/PSVApYFLLKvf46PeunfvZKmk//Ef+cOkxKaA6pdepRwkiAI4sVkw4YNaNGiBeRyOezs7BAWFoZiPbvty8vixYsRFRWF0aNHIzg4GN9//z08PT2xcuXKcveRSCTw8PBQ/3M1c0fs6tWr4e7uznvtkZGR6NdPlez5v//+Q1hYGGxsbGBvb4+2bdvi6tWrescsKCjA5MmT4e7uDktLS4SFheGoVt6xrl27YuzYsZg0aRIcHR3h6OiIadOmQalU+bKioqLw77//Yvny5eoI9cTERHWbtoxI165dMW7cOHzwwQdwcnKCq6srli5dioKCArz33ntwcHCAr68vNm/erO6zd+9edOrUCV5eXnByckKPHj0QFycsv1vRUGhNFXLvSa762BFZmoZXFwFi8x1CrE6SKFtZ1Woklwe2sBAsVNq62uTHxiKhRC/Z9YNouIwebXSs9B/XIX39erhOmAB561ZImmKa005kYYG6Wzbj7vA3NevKVZ2jB+/xt21k//sv4oKCefWmYNc3AiK5nOd81nUcM1IpHAcNKtMc5cXYtvXqcFqKLCxg1aSJccMKoKJkX6oShmFQd8MGZB04CNvu4SY7WS2DgvRqvBvDrverKLhxA9lHjsBn9aoyjVETEFlbo94/+1B07x5u99RIOZkahUvUXHQf2IkNfLdJnJ0RFHsNbF4elIWFFSLFJPHwgEVQEAri4/Xa+Py4FpZBQfD8/DPY9e6NJ+vWqZMfm6NfrcjI4JRd33vP7PUKRWkae+hpDJGFBdwmTSrXGARBmMbS8/x8O1scnRGZ8DUkKEYxJLg1vhPS129A6kJufpNNixUAPkLQXOGotPzYWE7Z49PZPDkni/qBKLh5i1MnC6ynDuogCIIgKo4mG6vm3liIKyNMj2DevXs3Jk2ahFWrVqF9+/bIycnBzZs3IdGzu2/+/PmYbyS/2d9//41OArvxCwsLce7cOUydOpVT/8orr+D4cWFJVHP63LlzB97e3pDJZGjbti3mz5+PADOCUgYPHoyJEyfiwIED6NmzJwAgJycHu3btwoYNG1BcXIx+/fph1KhRiImJQVFREc6fPw+xgd3PH374IbZv345169YhICAAixcvRs+ePXHz5k14luRoiomJQVRUFE6cOIHLly9j9OjR8PT0RHR0NJYuXYobN24gKChI/b4bct7HxMQgOjoap06dwh9//IHJkydj79696NmzJ86ePYuNGzfinXfeQXh4OLy8vJCTk4PJkyejQYMGYFkW8+bNQ0REBGJjYyEzI5izLFAkdxXyJEejZcuJ5LYyLfpSl8xCri50sHPZHLBVzbO//kJ802a43rQZCm7f5rQlRX+gPn78zWIosrJ0u3NQ5ucj9euvoUhLw6NPP0XasuUouH7d5LVYhYaat/gyoi/RYU2CEYng+cU8dbnOyhXVuJrKRzeC2Wf5Mj2WNRuZry+c3x4Jma9vlczHMAzcoqcgYMfvkJoZ9VzTYEQiyPz8YFtyseEyfhzdkD8HMAwDnzVrYNOtG+os+97oAzpGJILI2rrCcg0wDIO6BnTsAvb8xUlOat22DXxWr4Lfr78i4M/d5XqwZ+5OBABQPHvGqyuvk5sgiKrhQuoF5CvyefVHLMWQ2F5FMSQIcLHGs82beA5ubZ5oSfppc+8dbrCJhUC+goDdu+H09ttgLCzgOGwY6sZsIQc3QRDEC058fDx8fHzQo0cP1K1bFyEhIeqoZSHGjh2LkydP4uLFi3r/tWrVSrBvWloaFAoF3N3dOfXu7u549OhRufq0bdsWGzZswN9//401a9bg0aNHaN++PdK1JG6N4ejoiFdffRUxMTHquh07dkAikSAiIgKZmZnIyMhAREQE6tWrh6CgIERGRiI4WNi/l5OTg5UrV2LhwoXo3bs3goODsWrVKri7u2O51u4rT09PfPfddwgKCsLgwYMxbdo0LF68GIBKkkQmk0Eul6sj1A051Rs1aoQ5c+agfv36iI6OhouLC6RSKSZNmoTAwEDMnj0bLMuqHxAMGDAAAwYMQGBgIJo2bYr169cjISEBp0+fNvl9KysUyV2FPHqmuggVQwF7JkfTYFW2G+uVl7jbKIQST9Y0Ur7+Gk9+1EhP3OndB9adO0FsYwPP+fNRWLJFopQbrdvAslEj1N28ibctGwCUOk7wzD17zFoPwzCwCA5GQSVvnZC3aV2p41cUDgMGwKFEV5hlWdi+/DJyz57lOL+fF5yGRQIAxLY2sO3Zs1KSaRK1gzpLvgXwbXUvg6hAbDp1hE2njtU2v9jGGq5TpuDxt5q/q8B/D0NkbaNXY9+qsWlJSw1RFlkAiZcnipO5mr7GdvYQBFEz+OLkF3rbrOpsgbLQCXduf4jUtfod3ACQ+vUiOI8axatXPHnCKeuTf3L/cBrcP5xmwooJgiCIF4FRo0Zh27ZtcHZ2hrW1NU6ePInGjRvrtXdycoKVlRWsyrG7WvfhKsuyRh+4GuvTq1cvTntYWBgCAgKwceNGRJsh+zl8+HBERUUhNzcXcrkcMTExGDhwICwtLWFpaYmoqCj06NED4eHhCA8Px6BBg+CjRy729u3bKCoqQgetoBmxWIx27dohVmsHVlhYGOe1tGvXDrNmzUJmZibszLzWb6qV/41hGLi5uaGJVmCOVCqFo6MjUlNT1WucNWsWTp48ibS0NCiVSiiVSoMa6RUFObmrkH3XVE+E7JEDEUqkRiwdAHHZTkNMXIxxoxqGtoO7lJz/VBlsZX7+gn3yr13D9ZahankFlmVRlJQMqbcXFFnZgn10cZ2iX/NcZM13npvFgP6oP3UqkiZNRq6eJ1OmahfWJBiGQZ3vvzPpx6E2IrK2hssY43I4BEEQZcFh0EC1k1tWrx6kOpEiFYFtz57I2qvJzSGtW9fsMTznzsX9UdwEtLXxN4sgXkQe5z022C6SPUGwRZFBG0NI3N1RrJV8XVqyBZogCIKoHsyRDKkuiouLMXToULRs2RKrVq2Cg4MD/P2FfT2llEeuxMXFBWKxmBe1nZqayovULk8fALCxsUGjRo1w8+ZNg2vVpU+fPpBIJNi1axfCw8Nx4MAB/PPPP+r29evXqyVA/vjjD3z88cfYuXMnevTowRurVLZYyEdTWX4bqc7OWIZhBOtKNb8jIiLg7e2N77//HgEBAZBIJAgJCUFhYSEqG3JyVyEyieqm0ZHRij6WO5dprDvP7lTEkmoUT2MMO+1ZhQKMWIwH48Yj+/BhMFIp2CLTLtydRkbpbcs7e86cZXLwmPMpUpo3h8TREV5fLcStrt14Ni4TJ5R5/JrA8+jgJgiCqGwkTk6os3wZsv87Aqc3h1fKHIyOrmFZvq9tOnRAwF9/4k5vVYKZOiueb6kqgniekEvkeIInBm2+PGPaZzrn+HFYt2+vLuvmoXGNjoaoFuYvIQiCIKqWHTt24Nq1a9i3b5/JfcaOHYu+ffvC0sCuRG9vb8F6mUyG0NBQ7N+/H4O08pvt378fAwYIy8aWpQ8A5OfnIz4+Ht268f0+hrCwsMDAgQMRExODtLQ0eHh4oEuXLhybZs2aoVmzZpg+fTp69eqFjRs3Cjq5AwMDIZPJcPToUbU2uEKhwIkTJxAZGam2O3XqFCdg8eTJk/Dy8lJHcctkMigUCrNehymkp6cjLi4Oy5cvR1hYGKysrHD+/PlKSzqqCzm5q5CnuaqnFpykk/Ky6XEvOrOIU34r5C1OmWVZFN6+DYmHp96t0VWNMYe0kC6oNrlnzkLs6Ijsw4dNGq8Uy6ZNeQkuKwr7iAik3L8PAJB6eMBz/nykLV8Oh8GD4fLuGCjz8uiGgCAI4gXFNjwctuHhlTa+25TJyPzrL4BlYd+/f5nHsahXD0FxsWALCsokeUIQRPVgIbZQH7+d8QzDM7Pwkm8drs2d+yaNde/tUfBe8i0kLi7Ij+fnt3EcXD2J0QmCIIjaRUFBAVJTU7Fx40Z06dIFubm5OHHiBIYMGQJra2HfVHnlSqKjo/Hmm2+iTZs26NChA1atWoXk5GSMHTtWbbNs2TIsW7YM8SXJ4U3pM3XqVERERMDX1xepqamYO3cucnJyMGLECLPXOHz4cHTv3h0JCQmIjIyEqGTnZEJCAlavXo2+ffvC29sbd+7cweXLlzFu3DjBcaytrTFu3DjMmDEDLi4u8Pf3x7fffouUlBSMHz9ebZecnIzJkydj/PjxuHLlCr7++mt88skn6nY/Pz+cPn0aiYmJsLGxgZOTk3pN5cHR0REuLi5Ys2YNXF1dkZ6ejmnTpulNOlrRkJO7CknJLAAAOJUzknv2sdk4knSEU9fMtZn6uPjpU9xs157T3vDcWYj0fKFUFWmrVper/72oKLP7WHfsCJ8Vyw3aeH39FZKnfWj22P67dvLeU4f+r8Oh/+vqMjm4CYIgiMpC6u2Nevv/QXFKCqxatCjXWAzDgCEHN0HUKpJzktXHI55lwUmpRNHTtpA6ngIANHjAcuwLxcAXQ8TItgSW7LDnaW4nTTYg76dHj5sgCIIgtBkyZAguXryIWbNmISUlBQ4ODmjfvj1GCeR+qCjeeOMNpKenY968eXj48CEaN26MPXv2oK6WlF9aWhquX79uVp8HDx5g6NChSEtLg6urK8LCwnDy5EmOzYYNGzBy5EgkJCTAz89P7xo7d+4Mb29vxMbG4ueff1bXy+Vy3LhxA4MGDUJaWhrc3d0xbNgwTJ8+Xe9YC0uSSY8cORIZGRlo0aIF9u7dC08tWbFhw4ZBoVCgbdu2YBgGo0aNwhQtGd+pU6dixIgRCAkJQV5entH1m4pIJMK2bdswceJEtGrVCoGBgfjmm28MRshXJEypnsuLSqtWrdizZ89W+jzFCiXqf/I3WBb4SBKDdyV/qRqavgH0/8HkcbILs9Hup3a8+q+7fI2efj0BADc6dIRCJ9ur8+jRcPvAdGF8ZX4+Hrw/ATlHj8J3/TpYt+PPaQ6KZ89wo22YWX0YuRxsbm655q1/7CgkzoYfJLAsi/jgEL3t/r//BpmfH9iiIjyJicGTH9fBYeBAuH80A4Aqc3CQQLZ5onZC5/P5g87p8wWdz+ePyjynDMOcY1m2VaUMTtRoquoav5Sq/m7678F/eO/ge+ry5YR7YAD45W+FbbDqGnX7l9ytwUM/FEMhVm1bvvzWZYPXv9pYtWwJv621LxdQeaHfm+cLOp/PH8/7OY2Li0NwcLBxw+eEvLy8ciWerC4+/fRT/Prrr7h06VKVRSsbo2vXrmjcuDGWLVtWreso7zk19BnQd41PmYWqiJxCBUJ9HeFpK9E4uAEgbrdZ4+Qr8oUbSp5VsCzLc3ADQPqaNWbNk/7DD8g5ehQAcG/k21Bk55jVX5eck6fMsrdo0AD1//uvzPNZNm0KjzmfGnVwA6roNeex7wIAJG5uqBuzhTtWSAhEcjnE9vZwHT8eDc6cVju4CYIgCIIgCKKqmfbvNE6ZAVAvfzMAIPf+CPg/4gcylTq49w7YC4Zh4Ld9m9F56iz7/oV0cBMEQRCEKezZswfLli2rMQ7uFx1yclcR9lZS/DquPdYPqMttsHY12vdRziO029oO0YejkV2YLWjT1acrACBtmWFpDm1YlsWTzVuQ8euv0I3oT1uxklPO+OUXk8cVImnSJE7ZfqDhrQr+O3dAbGMN99mzyjSf//ZtcBwyxGR7t8mTERwfh/r//Qt5aChse/YEI5XCXUuzqBSmAnSKCIIgCIIgCKKs5BZzdzs+ZW2g+H97dx4fZXXvcfzzywIhgZCEkARZBEQFBCxCEXDDiwpUkWsVRQQNpVpRryCoeFXcpXqtWBQU1ApUacWquFVR1FoXEEUUVIigsigoEEvYEsh27h8zCTOZTEhIMpkZvu/X63kxc855nufM/CZw+OXMOcQCELPzaO6f47+Z1C2jPXVdW3SldVPP5l1NevSoMtHd6p67aXbGGXXZbRERkajy6aef1ngjSqk/+lVDQ+tx4UGbnPn8mQAs3riYpPjK19Uu23gmd2b1k9zfnzOUwu++A6D4l/+QOvJiYps1AyA2NZWSHTvK25bu3lXt61ZUui9w9nnm5MnsfP6FoOeUJZJTR4xg6113H/Qend77Fz9cfgXNBg+i5dVXH7T9wbT580OU7t9PTOPGB28sIiIiIhIiP+32X0v7z1u3k2oFALTM38Ff37o34Jx1bYyb+tzEkA5D/Mqb9OhBk969KFj+WcA5zUO0fqaIiIjUnffee6+hu9BgNCU11Er9Z1XQ5w+VNtu0axMbd20MKH/p25cCyq761VWYWY27UpbgBtj+0EOs/XUffrzWM+O68VFH+bW1xlVvRuWco+DLLynZvTug7sdr/iegLLZZM1pPn17ptVJHjz5w35gYjv4gcNmSpP7+G2vGZ2XR8dVX6iTBXUYJbhEREREJF19t3kn7m/7JwGdG+5UPyC/grZJeAFy98sWA8/5xsjF38Fwu6XIJaQlpAfXtZs+mxR/8/0/SbNCgQ/r/hYiIiEhD0UzuEIsr2OZf0DRwuZIVW1dw2aLLqn3Nsd2qt0vt3o8/JqmvZ/PHYBuO7n7rLQo3bKBg5Uq/8u0PPUT6H64Ieu11/fpTkpcHwLGfLScm6cCM87K1vcu0/vOfAUgedBaJS5fgCov49rTTyusTT+jp1z6uZUu65Kxhz/vvk/fiQjKum0Bsaiqbssewb/VqOr7+T0REREREolVxSSkXPPIO7SyPHYmb/OpiHCzd0YXYxBIyCvICzk26aDi9MnsFvXZMUhIZ102gxZhsNk+cSGyLdFrdeUcdvwIRERGR+qUkd4hlrph20DY1SXAvPHchjWIbAbAvJ8evrukZA9nz9jvlzzdlj6FLzhoAirdvD3rNLbfeiisqCijfPHESmTf/L3Hp6X7lJXl55QlugLX9+tN51YEkeUzTppTuObCWeLNBZ5U/jktNxZX4z273TZD7vZ5TT6XpqaeWP+/w4gs45zTLRERERESiV+FeVny7lWWNr2Z1kxKuILO8ykodPy1L4cIN73JK4he0yvdfyiTjhuuZdGb1JsTEpqTQ7qmn6rTrIiIiIqGi5UpCqXg/jdZ8xN6fG+Ec0OLoWl3uv9r+F51SO5U/3zzhOr/6NkGWAwEo2ZEXtK6yNfkAdr3+OttnzAgoL9zov6yKKyzEFRaWP2989IHX2W7evICktMXG+j1v1K5d0L5VpAS3iIiIiEStD6bB1CPo81xPmls+V7TyJLg7bXZc/F4JC6YVsXNDIkBAgrv1Q9NoMbZ6CW4RERGRSKckdwgVffsl37+Rwab30tmxLhGKAzdkPJjzPirlr38qZtDyUjqmdPSrK9ywwe95xeSxr/XDhtX43gB5zy6gxGdWNsCGi0YEtMvpcXz544LPPy9/HNcyPaAtQNsnHqfx0Z1IGzOGRu3bH1LfRERERESiyjt3lj8sBbptKOW5PxYz9a8lnLfUQVHw/84lDxkStE5EREQk2ijJHULbHpkNzjPzeOuKFNj5Q0CbwpLCgLIyTfY5Ln6/lIQiGLu4lJTC+IPeM+XCC/2eF+/YwX6fDScPRe6MmeWPC778Mmi70oICSgsK/MpiU1Mrbdv0lFPo+OqrZE6+sVZ9ExERERGJChX20FnYNInb/l5arVPb/+O5+uiRiIiISNhSkjuEdr3jvwHj7h8Tyh+/sPYFus/rTq9ngm8Kc/Jq/4Fun+xHKN27t9K2WXffBUDGRP8lTNb168+WGyfXqN8V5S1cWP54w/ALg7b75S9Pse+rr/zKYlNSanVvEREREZGoVpbc3rezvGi/wQt7Kp8sUpkm3bvXda9EREREwpqS3A3oxw/Tyh/fsfSOoO2SChyj3ynh8jcDZ27kPf88gN8a2ADJZ54JVJ5U3vf119XuY9YdtweUle7cSdHWbQc9N3fGDDaOvtSvTGtoi4iIiIgEsXEpPNgZ7mgO9x8JQPH+GF7Z2oIpz1ZvFnfaZdXfxF5EREQkWsQ1dAcOF3vzcyst37dmDY07dw4ob7vNkbLXMX7w3SRn3xL0uvvXr/f+ucGv3BITD72zvteJi6NLzhp++MOV7Pn3v8vLN4wYQceXX6qTe4iIiIiIHPZ2bIQ5gwOK1y3Molslzdv9dR4ASX364Jxj74cf0qhtW+1vIyIiIoclzeQOkcYlJZWWrz/vtxTs99/IsXWu44G/lDDl2dIqE9zg2Qhyy623suHii/3KYxo1Kn+ceeutQc+PadbM77klJPg9Tz7nHACybr/Nr7z4p5/YPMF/KZS2Tz5JXFZW0Htl3HB90DoRERERkcPa9B4BRbt+SKikIaTddgtJffqQ1KcP4Pm2ZNNTTlGCW0RERA5bSnKHyv7YoFWPXn6i3/NR/yqtUWB2Pv8CLj8/aH3K+b8NWtfuL09y9EcfknXnnXR6/990/uJzUi8dDcCRf/sbMd6kd1yrVgHn7l2yxO9505NPos2MGUHv1fT006t8HSIiIiIih6XCwH12ivfHsPmjtIDy7wd0InPkqFD0SkRERKJEdnY253gnskbDfSoTlkluM0s0s6fMbIeZ5ZnZX8ysSRXtLzWzJd72uWb2hpmF1W4rsS1akH1dLPMHBL7lZ3/qv6FkUoELaFMbMU2aYD4zu3016dGDuBYtSL3oQuIzMgDIuvlmuuSsIfGEnuXtDraWdtOBAz3X63Zc0DbxVczyFhERERE5HO0rLIapRwSUr1tY+dj5N4+9Ut9dEhERiSiPPvooHTp0ICEhgV69evHBBx/UyzmRYMCAAVxzzTUB5dOnT+eZZ55pgB6FTlgmuYHpQGfvcQzQBZhWRftmwO1AG6A1sAJ4q6rEeKiZGfkJxsv9Kn/Le607sJFMbbdmbD5sWEBZ64en1/Kq0OLKPwStSxt98NkkMXW0TriIiIiISLRY9NLTAWUuyJyXjXdmayN3ERERHwsWLGD8+PHcfPPNfP755/Tv358hQ4awadOmOj0n0jVv3pyUlJSG7ka9CrsktzcxPQqY4pzb6pzbBkwBLjOzShelc87NdM4tds7tdc7tB6YCWXiS5GEjLcHzdcM7Rga+7Sd+c2Akm7Qv+DVi09Jo/+zfq7xPy4kTA8qaDRhQvU5WIXXkyKB1ib16lT8+4oH/A6DJCSfQpGdPmg0ZTOdVK2t9fxERERGRqFJawn+vnlD+1JXCi6v7kbPAf2b31eNimTS1A4MvmhziDoqIiNTc3Llz6dmzJ4mJiSQnJ9O3b1+Ki4vr5V7Tpk0jOzubyy+/nC5duvDII4/QqlUrHnvssTo9p6LZs2eTmZkZ8LpGjhzJMO/k0/fff5++ffvStGlTmjdvzoknnshXX30V9Jr79+9nwoQJZGZmkpCQQN++ffnwww/L6wcMGMCVV17J+PHjSU1NJTU1lRtuuIHSUs/E2ezsbP79738zc+ZMzAwzY8OGDeV1vsuIDBgwgHHjxjFp0iTS0tJo2bIl06dPZ//+/Vx99dWkpKTQrl07nn76wC/jFy1axCmnnEJqaippaWkMGjSINWvWVPs9q29xDd2BShwLJACf+ZStAJrgmdW9qhrXGAjkA99WVmlmVwBXALRu3ZqcnJza9Lfaeif35q19b7H6yBiWHev8EtubWxyYkdG4qJKTTz4ZJk2kpKSEjXFVh+3b//yC7fhPYMXtt8Odd/oV1eS1u33Bs+/ffPfdgSdHHw0vPM++2APrkH/z/ffVvk+kyc3NDdlnSOqf4hl9FNPoonhGH8VUDge79hXx2sqfODarGb2OTC0v3/3CeHy3gX9z3Ql0WbUx4PztKcaq8/4Zgp6KiEi4WtO5S4Pdu0tO9ROZr776KuPHj2fWrFn079+fvXv3sm7dOuKC5LKmTp3K1KlTq7zmG2+8wSmnnBJQXlhYyGeffcb111/vV37WWWexpMI+crU5pzIXXngh1157LW+//TaDBw8GYO/evbz88svMnTuX4uJihg0bxtixY5k/fz5FRUWsWLGC2Njge/bdeOONPPfcczz11FN07NiRadOmMXjwYNatW0cr71558+fPJzs7m6VLl7Jq1Souv/xyWrVqxcSJE5k+fTpr166lc+fO5e9py5Ytg95v/vz5TJw4kWXLlvHKK68wYcIEFi1axODBg1m+fDnz5s3j97//PQMHDuSII45g7969TJgwgR49elBQUMA999zD0KFDWb16NY2CLJMcSiFNcpvZXOCyKprcC7zpfbzTp7zscXI17nEM8CQwyTm3u7I2zrnHgccBevfu7Tp3Ds2E76+//rr88YO/jWXcP0s4fZUn0X3Je6W8cqJx1E/Qcpf/ebEtWtDh3nuJz8woL9tx9138POW2Su/TpUuQv/g6d2aNT5K78bHH0rEGr905R7D/gobqPQxHOTk5h/XrjzaKZ/RRTKOL4hl9FFOJRrv3FfHRt79wy8IvMYPcPYXldQuv6k/PdqkseeYu+n97YHaUc3Dk5z8HXGvWkBg6JR+nZUpERCQi5OTk0LZtWwYNGkRammdFg65duwZtf+WVV3LuueeSkFDp4g2AZ4JqZXJzcykpKSEzM9OvPDMzk7fffrvOzqlMamoqv/nNb5g/f355knvhwoXExcUxdOhQdu3aRV5eHkOHDuWoo44Cqs6d7d27l8cee4wnn3ySs88+G4BZs2bx7rvvMnPmTO655x4AWrVqxcMPP4yZ0blzZ9auXcu0adOYOHEizZs3p1GjRiQmJpJVjX3xjjvuOO644w4AJk6cyH333Ud8fDzjx48H4LbbbuP+++9nyZIlXHDBBZx//vl+58+ZM4fk5GQ++eQTTj755Gq/d/Ul1DO5rwGur6I+H89sbYDmQJ7PY4BdFU/wZWZdgcXAn5xzsw69m/Vj857Nfs+/zzRO58Bs7gX3lwScc+Tf5tOke3csPt6vPHX48KBJ7qpk3DSZbffdj8XH02bmzBqdG2xgnVVhdriIiIiIyOFqZ34Rx9/1VtD68x5dQuesZizKexCAkiJjy8cp7Nlc+XZC7/4qhn+cdkd9dFVERKTOjR07lgULFtCiRQuSkpL4+OOP6datW9D2aWlpNGnShCZNDn1bvYr5KufcQX85fCjnVDRq1Ciys7PJz88nMTGR+fPnc8EFF5CQkEBCQgLZ2dkMGjSIgQMHMnDgQIYPH07btm0rvdZ3331HUVERJ510UnlZbGws/fr1Y/Xq1eVlffv29etnv379mDJlCrt27SI5+aBzg/306NGj/LGZkZGRQffu3cvL4uPjSU1NZdu2beV9nDJlCsuWLWP79u2UlpZSWloaNmuZhzTJ7ZzbA+ypqo2ZfQPsA04A3vUW9wQKgLVVnHcCsAi42zn3SJ10uI4lxCawr+TAkh/pyVnAlqrPOe64gAR3mZQLLyTvuedq1Ie0Sy8l4ZhjiMtqRaM2lf8mrCYaH3MMKRcOr/V1REREREQiXUmpqzLBXebHn7dCAuR934SfPkkN2u7Oiz17+XRO07cdREQOdzVZMqShFBcXc/HFF3PCCScwa9YsUlJS6NChQ5Xn1Ga5kvT0dGJjY/n5Z/9vQm3bti1gpnZtzgnmnHPOIS4ujpdffpmBAwfy9ttv89ZbB8YBc+bMKV8C5JVXXuGWW27hpZdeYtCgQQHXct5dpytLtNfXt7niK+QbzazSsrI1v4cOHUrr1q2ZPXs2rVu3Ji4ujq5du1JYWEg4CLs1uZ1zBWb2DHCXmZWtxn4X8FfnXKWLQpvZScBrwGTvUiRhaUy3MTy28sAi9peM+iN7Xqhq9RawKta0ybrzDmJTUihYsYL85cs9hQdZr9tiYkjq37/6na6g5fhr2T79YQDSr76atDHa4V1ERERE5PNNO/jd3E8P2i4mYRMZcevZ9kVTfvmq8hlX8wbGsKiXURJrTOo1qa67KiIiUi8WLlzI119/zZtvvnnwxl61Wa6kUaNG9OrVi8WLFzN8+IEJmIsXLw5YWqM25wTTuHFjLrjgAubPn09ubi5ZWVmcdtppfm2OP/54jj/+eCZPnsyQIUOYN29epUnuTp060ahRIz788EM6duwIQElJCUuXLmXkyJHl7ZYtW+Y36/zjjz/miCOOKJ/F3ahRI0pKAleKqK1ffvmFNWvWMHPmTE4//XQAVqxYUW8bih6KsEtye40HZnBg5vYLwHVllWZ2M3CJc+44b9E9eJY0mWZm03yuM8Q590EI+lsto7uOLk9yt0pqRevOvfnx5JPZ67NTakVVJZDNjIyJnrdl24PT2PvJMjJvvLFuO11B+rhxtLjiCqyKhfJFRERERA4HRaVFLP95OdPef4bvYj6jMKsJTYqTKdj0eyCG964/jUFPTyQ26VtiG28H5/ifV0o5Zovjl7zgXynOaeNJcI/sPJLsbtkhez0iIiK1sX//frZt28a8efM47bTTyM/PZ+nSpYwYMYKkpKRKz6ntciUTJ05k9OjR9OnTh5NOOolZs2axZcsWrrzyyvI2M2bMYMaMGeWbnVfnnOoaNWoUZ5xxBuvXr2fkyJHExHi+hbV+/Xpmz57NueeeS+vWrfn+++9ZtWoV48aNq/Q6SUlJjBs3jptuuon09HQ6dOjAQw89xNatW7nqqqvK223ZsoUJEyZw1VVX8eWXX/LAAw9w6623lte3b9+eTz75hA0bNtC0aVPS0tLK+1QbqamppKen88QTT9C2bVs2b97MDTfcEHRD0YYQPj3x4ZzLB37nPSqrnwpM9Xl+eoi6VivNGjXj77/+O0XpRXRJ60KMxdD2sUfJ6d6j0vZJPuvwHEzGpIl11c2DUoJbRERERGrCzBLxTGI5DzA8k1iucc4VBGmfDTyFZ8+eMq865y6u567WyNbcH5n84uUANAXOXbmbDlu3Ym4ybdMLGPrPpiQlO5oWQF48TJ1XwlGBe0v6aXT2WSy86c/6tqSIiEScESNG8MUXXzBlyhS2bt1KSkoK/fv3Z+zYsfV2z4suuohffvmFe+65h59++olu3brx+uuvc+SRR5a3yc3N5ZtvvqnROXPnzmXMmDGsX7+e9u3bB73/qaeeSuvWrVm9ejXPPvtseXliYiJr165l+PDh5ObmkpmZySWXXMLkyZODXuv+++8HYMyYMeTl5dGzZ08WLVpEq1atyttccskllJSUcOKJJ2JmjB07luuuK58XzPXXX89ll11G165dKSgoOGj/qysmJoYFCxZw7bXX0q1bNzp16sSDDz5Y49nv9cnK1nw5XPXu3dstL1vqIwRycnICdlNd07lLQLvMm28mdcRFVS5XIuGhsphK5FI8o49iGl0Uz+hTnzE1s8+cc73r5eJSI2b2BHAcniS3A14CVjrnKp3O5E1y3+qc63Qo9wvVGH/TNyvYO+ySWl3j5xS4dlwccwbNoXeWPq7hQv/eRBfFM/pEe0zXrFlDly6BuaJoVVBQUKuNJ+vD7bffzvPPP8/KlSvDZrbygAED6NatGzNmzGjorhxUbWNa1c9AsDF+7eerS60d/VHgciVpl45WgltEREREIp6ZNQFGAVOcc1udc9uAKcBlZhZ8Ac4IEGOH/g3HzWnwXnfj7otjee2815TgFhERCSOvv/46M2bMCJsEtxycIhUG4lq0ILZlOiXbcwFo99RfGrhHIiIiIiJ15lggAfjMp2wF0AQ4BlgV5Ly2ZvYzUAR8BPyvc259fXa0plqktmJX86a4kiLiXSFFOGL2Hvy8hJN68vyIZHL+k8Oz5zxLVlJW/XdWREREqu3TTw++mbSEFyW5w8RRbyxizztvk9C9O429u6iKiIiIiIQzM5sLXFZFk3uBN72Pd/qUlz0Otvvi+0B34FsgA7gPWGxmxzvnKk0jm9kVwBUArVu3Lt9cqr7FzHua3Nxc0tPTKZvX7fLyYMkSyC+AGAPnPIu0ADRvzr6T+jMhMRHaQt4PeeSRF5K+SvXl5uaG7DMk9U/xjD7RHtOioiIKCirdtiIqFRcXH1av91C98cYbABHxXtU2pkVFRTX+GVeSO0zENk2i+bBhDd0NEREREZGauAa4vor6fDyztQGaQ3k2t7n3z12VneSc+97n6c9mdjmexHhf4J0g5zwOPA6eNblDuVZrpWvD9u0bsvtL3Yv29X4PN4pn9In2mK5Zsybs1qiuT+G4JrfUTm1jGh8fX+OfcSW5RURERETkkDjn9gB7qmpjZt8A+4ATgHe9xT2BAmBtdW/lPezQeioiIiIi0UwbT4qIiIiISL1xzhUAzwB3mVmGmWUAdwF/dc7tq+wcMzvbzNqYRxowE8gFPg5Zx0VEREQkYijJLSIiIiIi9W08nlnbZcc3wHVllWZ2s5l97dN+APAJnlniXwMtgDO9M8dFRESinnPu4I1EotChfva1XImIiIiIiNQr51w+8DvvUVn9VGCqz/MbgBtC0zsREZHwEh8fT0FBAYmJiQ3dFZGQKygoID4+vsbnaSa3iIiIiIiIiIhImMjIyGDz5s3k5+drRrccNpxz5Ofns3nzZjIyMmp8vmZyi4iIiIiIiIiIhInk5GQAtmzZQlFRUQP3pv4VFRUd0sxdCV+HGtP4+HgyMzPLfwZqQkluERERERERERGRMJKcnHxIib5IlJOTQ+fOnRu6G1KHGiKmWq5ERERERERERERERCKWktwiIiIiIiIiIiIiErGU5BYRERERERERERGRiKUkt4iIiIiIiIiIiIhELCW5RURERERERERERCRimXOuofvQoMxsO7AxhLdMB3JDeD+pf4ppdFE8o49iGl0Uz+hTnzE90jnXsp6uLWFMY3ypA4ppdFE8o49iGl0Uz+gT8jH+YZ/kDjUzW+6c693Q/ZC6o5hGF8Uz+iim0UXxjD6KqUQDfY6jj2IaXRTP6KOYRhfFM/o0REy1XImIiIiIiIiIiIiIRCwluUVEREREREREREQkYinJHXqPN3QHpM4pptFF8Yw+iml0UTyjj2Iq0UCf4+ijmEYXxTP6KKbRRfGMPiGPqdbkFhEREREREREREZGIpZncIiIiIiIiIiIiIhKxlOQWERERERERERERkYilJLeIiIiIiIiIiIiIRCwluUPEzGLN7AEz225mu83sBTNLb+h+CZjZ/Wb2tZntMrMtZvaEmaVVaHOpmX1nZvlmtszMelWo721mn3jrvzOzURXqM8zsRW/st3vvqZ+/emZmMWa2xMycmbXxKVc8I5CZnWFmH5vZHjPLNbNHfeoU0whjZllmtsD7fu8ws3fN7HifesU0jJnZCDP7wPtvZ3El9fUaP42rJFzosxi+NMaPXhrjRxeN8aOLxviRKxrG9/oghM5NwDDgRKDsH+KnG6474qMEGAW0AI7HE585ZZVmdjLwGDAOSAVeAF43s2RvfXPgDW95KnAlMMvM+vncY773zzZ4PgPnATfU30sSr+uAfN8CxTMymdkA4HngT3h+VtsAT3rrFNPI9CiQBhwLZALLgdfMQzENfzvwxHBCxYoQxU/jKgkX+iyGL43xo5fG+FFCY/yopDF+5Ir88b1zTkcIDmAjMNbn+VGAA9o3dN90BMTqbGCnz/N5wNM+zw3YBFzmfT7G+9x82jwNzPE+7uCN9VE+9WOB9Q39WqP5AI4BvgN+5X3/2yiekXsAS4H7gtQpphF4AKuAK3yeH+uNQ7piGjkHMAAorlBW7/FD4yodYXLosxg5BxrjR8WBxvhRdaAxftQdaIwf8QcRPL7XTO4Q8P5Gox3wWVmZc+47YBfQo6H6JUENxPMXc5nj8Y+dAz73lpfVr/CWl1lRoX6nN+a+9e3Lfusldcv7lZen8PxWMK9CteIZYcwsCegD7DOzFd6vMb5nZr29TRTTyPQAcL6ZpZtZAnAF8KFzLhfFNNLVa/w0rpJwoc9ixNEYP8JpjB9dNMaPWhrjR6eIGN8ryR0aZT9sOyuU5/nUSRgws/OBy4HxPsXNqDp2h1oPin99GQ/87Jx7sZI6xTPypOL59+pyIBs4AngLz9ejUlBMI9VHQCywHdgD/BZPjEExjXT1HT+NqyRc6LMYITTGjxoa40cXjfGjk8b40SkixvdKcofGbu+fzSuUp+D5rYSEATMbDjwBnOucW+FTtZuqY3eo9WV1UofMrBMwCbgmSBPFM/KUva9znHOrnHOFwB+BeKA/imnE8c7EehtYi+e9TwTuBT4ws0wU00hX3/HTuErChT6LEUBj/OigMX5U0hg/ymiMH9UiYnyvJHcIOOfy8KxNc0JZmZl1xPPbiFVBTpMQMrMxwGxgqHPuXxWqV+IfO8OzBtxKn/qeFc7pWaG+uTfmvvUbnHMVf0sltXcy0BL4ysxy8XwFBmCVmV2F4hlxvO/rBjzrcQVUo5hGojQ867I94pzb5ZwrdM49iWdc0hfFNNLVa/w0rpJwoc9i+NMYP6pojB9lNMaPShrjR6/IGN9Xd/FuHbVeuP0W4Bs8P/DJwD+ARQ3dLx0O4FrgF+DXQepPxvM1m4FAI+B6YCuQ7K1PwfNVnBu89QO97fv5XGMxnl2jk72fgW+Amxr6tUfjgee3xW18jr54Bkm9gaaKZ2Qe3nj8CHQF4oAbgZ/w/KZXMY3Aw/sePwIkeWP6O6AQ6KiYhv+B52uoCcBZQLH3cQKeTWjqPX5oXKUjTA59FsP3QGP8qDrQGD8qDzTGj7oDjfEj9iAKxvcN/iYeLof3w/InIBfPNPwXgfSG7pcOB57BUZH3B7D8qNDmUuB7oAD4BOhVof7X3vICb7tRFeozvDHf7f0M/B8Q09Cv/XA4gPb47LyueEbm4f2H9S7gZzzrcv0L+JViGrkH0AV4zft+78SzycgwxTQyDjxrZ7pKjvahiB8aV+kIk0OfxfA90Bg/qg80xo+KA43xo+5AY/yIPYiC8b15LyQiIiIiIiIiIiIiEnG0JreIiIiIiIiIiIiIRCwluUVEREREREREREQkYinJLSIiIiIiIiIiIiIRS0luEREREREREREREYlYSnKLiIiIiIiIiIiISMRSkltEREREREREREREIpaS3CIiUcDM2puZM7Pe9XiPC8zM1df1RURERETkAI3xRUSqL66hOyAiInXiB6AVkNvQHRERERERkTqhMb6ISDUpyS0iEgWccyXAzw3dDxERERERqRsa44uIVJ+WKxERCQPmcaOZfWdmBWb2pZmN8taVfU1xpJl9aGb7zCzHzM7yOd/vq4xmFm9mD5vZFjPbb2Y/mNl9Pu1TzWyeme3w3u9tMzuuQp8uNbONZpZvZq8BmZX0e6iZfebt03ozu9fMGtXbGyUiIiIiEiE0xhcRCR0luUVEwsM9wFjgaqAr8Edgtpmd7dPm/4CHgV8Bi4GXzax1kOtdC5wHjACOBi4CvvGpnwucCAwD+gD5wCIzawJgZid62zzuvd+rwF2+NzCzQcB8YAZwHPA74AJgao1euYiIiIhIdNIYX0QkRMw57S8gItKQzCwJzzp7ZznnPvAp/zNwDHAVsB641Tl3r7cuBsgBnnPO3Wpm7b1tfu2cW25mD+MZlJ7hKvxFb2ZHA2uB05xz73vLmgObgEnOuSfN7G9AS+fcmT7nPQmMdc6Z9/n7wGLn3N0+bf4beAZoVvG+IiIiIiKHC43xRURCS2tyi4g0vK5AAp5ZFr6Dxnhgg8/zpWUPnHOlZrbMe25l5uKZCbLWzN4CXgfecM6VAl2A0grX22lmX/pcrwuemR2+luKZiVKmF9DHzCb7lMUATYAs4KcgfRMRERERiXYa44uIhJCS3CIiDa9s6aiheGZa+CoCrKYXdM6t8M78GAz8FzAPWGlmZx7kemUD8OrcMwa4E/hHJXXbq99bEREREZGoozG+iEgIKcktItLwVgP7gSOdc+9WrPQOZAH6Au96ywzPOnvPB7uoc243nsHpP8xsLvAx0Ml7vxigH1D2VcZkoDswx6dPfStcsuLzFUBn59y31XiNIiIiIiKHE43xRURCSEluEZEG5pzbbWZ/Av7kHdi+DzTFM+AsBd7yNh1nZmuBL/Gs4Xck8Fhl1zSziXi+SvgFnpkiI4FdwI/OuXwzexnPpjdXAHnAvd76v3kv8TCwxMz+F88gewCeTW583QW8ZmYbgeeAYqAb0Mc5d+Ohvh8iIiIiIpFOY3wRkdCKOXgTEREJgSnAHcD1wNd41to7H89GM2VuAiYCK/F8RfE859yPQa63G7gB+ATPbIxfAUOcc/ne+jHeule8fyYCg51zBQDOuY/xrM03DlgF/Nbbv3LOuTeBs4HTvdf4xNvHil/HFBERERE5HGmMLyISIqaNcUVEwlvFXdUbuDsiIiIiIlJLGuOLiNQtzeQWERERERERERERkYilJLeIiIiIiIiIiIiIRCwtVyIiIiIiIiIiIiIiEUszuUVEREREREREREQkYinJLSIiIiIiIiIiIiIRS0luEREREREREREREYlYSnKLiIiIiIiIiIiISMRSkltEREREREREREREItb/A7hp6Bmg2+fCAAAAAElFTkSuQmCC", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "N = 100\n", + "fig = plt.figure(figsize=(25,6))\n", + "plt.subplot(121)\n", + "for i, e in enumerate(epsilon):\n", + " rnd = rewards[i][\"vs_random\"]\n", + " rnd_conv = np.convolve(rnd, np.ones(N)/N, mode='valid')\n", + " plt.plot(range(1, len(rnd_conv)+1), rnd_conv, label=f'$\\epsilon$ = {e}, vs random')\n", + " plt.xlabel('episode')\n", + " plt.ylabel('reward')\n", + " plt.legend()\n", + " plt.grid(True,'major',linestyle='-',linewidth=0.5) \n", + "\n", + "plt.subplot(122)\n", + "for i, e in enumerate(epsilon):\n", + " opt = rewards[i][\"vs_opt_greedy\"]\n", + " opt_conv = np.convolve(opt, np.ones(N)/N, mode='valid')\n", + " plt.plot(range(1, len(opt_conv)+1), opt_conv, label=f'$\\epsilon$ = {e}, vs optimal') \n", + " plt.xlabel('episode')\n", + " plt.ylabel('reward')\n", + " plt.legend()\n", + " plt.grid(True,'major',linestyle='-',linewidth=0.5) \n", + "\n", + "plt.suptitle(r'Effect of $\\epsilon$ when training SARSA against against $\\epsilon$-greedy optimal policy')\n", + "# plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [], + "source": [ + "heaps = [7,7,7]\n", + "env = NimEnv(heaps)\n", + "\n", + "\n", + "def run_experiment_varepsilon(env, num_episodes, which=\"optimal\", alpha=0.2, gamma=0.9, ini_opt_noise=0.5):\n", + " player0_rewards = {\"vs_opt_greedy\": [],\n", + " \"vs_random\": [], \n", + " \"vs_opt_12\": []}\n", + " agent0 = RLAgent(ini_q=0.0, epsilon=0.1, alpha=alpha, gamma=gamma) # RL agent for player 0\n", + " # agent1 = RLAgent() # RL agent for player 1\n", + "\n", + " for episode in tqdm(range(1, num_episodes+1)):\n", + " heaps = env.reset() \n", + " env = NimEnv(heaps)\n", + " \n", + " opt_noise = ini_opt_noise*(1-episode/num_episodes)\n", + " fixed_policy = lambda heaps: optimal_policy(heaps, randomness=opt_noise)\n", + " winner = None\n", + " done = False\n", + "\n", + " action = None\n", + " reward = None\n", + " old_0 = (None, None) # old state/action for player0\n", + " old_reward = None\n", + " i = 0\n", + " while not done:\n", + " \n", + " action = agent0.decide(heaps)\n", + " next_heaps, winner, reward, done, _ = env.step(action)\n", + " if i > 0:\n", + " agent0.learn(old_0[0], old_0[1], old_reward, heaps, action)\n", + " if done:\n", + " agent0.learn(heaps, action, reward[0])\n", + " break\n", + " \n", + " adv_action = fixed_policy(next_heaps)\n", + " nextnext_heaps, winner, adv_reward, done, _ = env.step(adv_action)\n", + " if done:\n", + " agent0.learn(heaps, action, adv_reward[0])\n", + " break\n", + " \n", + " old_0 = heaps[:], action[:]\n", + " old_reward = adv_reward[0]\n", + " heaps = nextnext_heaps[:]\n", + " i += 1\n", + "\n", + " r0 = evaluate_fixed_opt(agent0, 10, randomness=0.0, alwaysfirst=False)\n", + " player0_rewards[\"vs_opt_greedy\"].append(r0)\n", + "\n", + " #r1 = evaluate_fixed_opt(agent0, 10, randomness=0.2, alwaysfirst=False)\n", + " #player0_rewards[\"vs_opt_02\"].append(r1) \n", + "\n", + " r2 = evaluate_fixed_random(agent0, 10)\n", + " player0_rewards[\"vs_random\"].append(r2)\n", + " \n", + " return player0_rewards, agent0" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "100%|██████████| 10000/10000 [01:17<00:00, 129.40it/s]\n" + ] + } + ], + "source": [ + "num_episodes = 10_000\n", + "player0_rewards, agent = run_experiment_varepsilon(env, num_episodes, which='optimal', alpha=0.2, gamma=0.99, ini_opt_noise=0.6)" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "r0 = player0_rewards[\"vs_opt_greedy\"]\n", + "#r1 = player0_rewards[\"vs_opt_12\"]\n", + "r2 = player0_rewards[\"vs_random\"]\n", + "N=500\n", + "r0_conv = np.convolve(r0, np.ones(N)/N, mode='valid')\n", + "#r1_conv = np.convolve(r1, np.ones(N)/N, mode='valid')\n", + "r2_conv = np.convolve(r2, np.ones(N)/N, mode='valid')\n", + "fig = plt.figure(figsize=(12,6))\n", + "plt.plot(range(1, len(r0_conv)+1), r0_conv, color='b', label='vs optimal')\n", + "#plt.plot(range(1, len(r1_conv)+1), r1_conv, color='r', label='vs optimal(0.2)')\n", + "plt.plot(range(1, len(r2_conv)+1), r2_conv, color='g', label='vs random')\n", + "plt.legend()\n", + "plt.xlabel('episode')\n", + "plt.ylabel('reward')\n", + "plt.grid(True,'major',linestyle='-',linewidth=0.5)\n", + "plt.grid(True,'minor',linestyle='--',linewidth=0.25) \n", + "plt.title(r'SARSA trained against')\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "r0 = player0_rewards[\"vs_opt_greedy\"]\n", + "#r1 = player0_rewards[\"vs_opt_12\"]\n", + "r2 = player0_rewards[\"vs_random\"]\n", + "N=500\n", + "r0_conv = np.convolve(r0, np.ones(N)/N, mode='valid')\n", + "#r1_conv = np.convolve(r1, np.ones(N)/N, mode='valid')\n", + "r2_conv = np.convolve(r2, np.ones(N)/N, mode='valid')\n", + "fig = plt.figure(figsize=(12,6))\n", + "plt.plot(range(1, len(r0_conv)+1), r0_conv, color='b', label='vs optimal')\n", + "#plt.plot(range(1, len(r1_conv)+1), r1_conv, color='r', label='vs optimal(0.2)')\n", + "plt.plot(range(1, len(r2_conv)+1), r2_conv, color='g', label='vs random')\n", + "plt.legend()\n", + "plt.xlabel('episode')\n", + "plt.ylabel('reward')\n", + "plt.grid(True,'major',linestyle='-',linewidth=0.5)\n", + "plt.grid(True,'minor',linestyle='--',linewidth=0.25) \n", + "plt.title(r'SARSA trained against')\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "interpreter": { + "hash": "4369559244255f10d34bca352df9b3f8794934e60b17f3451fa3b0f2f96527a8" + }, + "kernelspec": { + "display_name": "Python 3.8.8 64-bit ('base': conda)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.8.8" + }, + "orig_nbformat": 4 + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/hyperparam_experiments.ipynb b/hyperparam_experiments.ipynb new file mode 100644 index 0000000..4341740 --- /dev/null +++ b/hyperparam_experiments.ipynb @@ -0,0 +1,382 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Hyperparameter tuning\n", + "There are several hyperparameters that can be fine tuned for SARSA and SARSA($\\lambda$):\n", + "* the discount factor $\\gamma$ (typically 0.9 or 0.99)\n", + "* the learning rate $\\alpha$ (around 0.2)\n", + "* the eligibility trace decay $\\lambda$ (only for SARSA($\\lambda$))\n", + "\n", + "Lets investigate it for SARSA vs. SARSA..." + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [], + "source": [ + "from nim_env import NimEnv\n", + "from utils import compute_nim_sum, optimal_policy, random_policy, evaluate_fixed_opt, evaluate_fixed_random, evaluate, view_Q_table\n", + "import random\n", + "import matplotlib.pyplot as plt\n", + "import numpy as np\n", + "# from agent import RLAgent\n", + "from sarsa import RLAgent\n", + "from sarsa_lambda import SARSA_LAMBDA\n", + "from montecarlo import MonteCarlo\n", + "from tqdm import tqdm\n", + "import pandas as pd\n", + "pd.options.display.float_format = '{:,.3f}'.format\n", + "\n", + "# plt figure setup\n", + "from matplotlib import rc\n", + "\n", + "plt.rc('axes', labelsize=14) # fontsize of the x and y labels\n", + "plt.rc('axes', titlesize=14)\n", + "plt.rc('xtick', labelsize=13) # fontsize of the tick labels\n", + "plt.rc('ytick', labelsize=13)\n", + "plt.rc('legend', fontsize=14) # legend fontsize\n", + "plt.rc('figure', titlesize=14) # fontsize of the figure title\n", + "plt.rc('lines', markersize=7)\n", + "plt.rc('lines', linewidth=3)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [], + "source": [ + "heaps = [7,7,7]\n", + "env = NimEnv(heaps)\n", + "\n", + "\n", + "def run_experiment_shareq(env, num_episodes, classic=True, alpha=0.2, gamma=0.9, lambda_=0.9):\n", + " player0_rewards = {\"vs_random\": [], \n", + " \"vs_opt\": []}\n", + " if classic:\n", + " agent0 = RLAgent(ini_q=0.0, epsilon=0.1, alpha=alpha, gamma=gamma)\n", + " else:\n", + " agent0 = SARSA_LAMBDA(ini_q=0.0, epsilon=0.1, alpha=alpha, gamma=gamma, lambda_=lambda_)\n", + " \n", + "\n", + " for episode in tqdm(range(1, num_episodes+1)):\n", + " heaps = env.reset()\n", + " next_heaps = [0,0,0]\n", + " nextnext_heaps = [0,0,0]\n", + " env = NimEnv(heaps)\n", + " \n", + " winner = None\n", + " done = False\n", + "\n", + " action = [None, None]\n", + " reward = [None, None]\n", + " old_0 = (None, None) # old state/action for player0\n", + " old_1 = (None, None) # old state/action for player1\n", + " old_reward = None\n", + " i = 0\n", + " while not done:\n", + " action[0] = agent0.decide(heaps)\n", + " next_heaps, winner, reward[0], done, _ = env.step(action[0])\n", + " if i > 0:\n", + " agent0.learn(old_0[0], old_0[1], old_reward[0], heaps, action[0])\n", + " if done:\n", + " agent0.learn(heaps, action[0], reward[0][0])\n", + " if i > 0:\n", + " agent0.learn(old_1[0], old_1[1], reward[0][1])\n", + " break\n", + "\n", + " action[1] = agent0.decide(next_heaps)\n", + " nextnext_heaps, winner, reward[1], done, _ = env.step(action[1])\n", + " if i > 0:\n", + " agent0.learn(old_1[0], old_1[1], old_reward[1], next_heaps, action[1])\n", + " if done:\n", + " agent0.learn(heaps, action[0], reward[1][0])\n", + " agent0.learn(next_heaps, action[1], reward[1][1])\n", + " break\n", + " \n", + " old_0 = heaps[:], action[0][:]\n", + " old_1 = next_heaps[:], action[1][:]\n", + " old_reward = reward[1][:]\n", + " heaps = nextnext_heaps[:]\n", + " i += 1\n", + "\n", + " r0 = evaluate_fixed_random(agent0, 10)\n", + " player0_rewards[\"vs_random\"].append(r0) \n", + "\n", + " r0 = evaluate_fixed_opt(agent0, 10)\n", + " player0_rewards[\"vs_opt\"].append(r0) \n", + "\n", + " \n", + " return player0_rewards, agent0\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### lr $\\alpha$ experiment for SARSA against itself" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "100%|██████████| 10000/10000 [01:21<00:00, 122.11it/s]\n", + "100%|██████████| 10000/10000 [01:10<00:00, 142.37it/s]\n", + "100%|██████████| 10000/10000 [01:19<00:00, 125.33it/s]\n", + "100%|██████████| 10000/10000 [01:20<00:00, 123.75it/s]\n" + ] + } + ], + "source": [ + "num_episodes = 10_000\n", + "alpha = [0.01, 0.1, 0.2, 0.5]\n", + "rewards = [None, None, None, None]\n", + "for i, a in enumerate(alpha):\n", + " rewards[i], _ = run_experiment_shareq(env, num_episodes, classic=True, alpha=a, gamma=0.9, lambda_=0)" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "N = 100\n", + "fig = plt.figure(figsize=(25,6))\n", + "plt.subplot(121)\n", + "for i, e in enumerate(alpha):\n", + " rnd = rewards[i][\"vs_random\"]\n", + " rnd_conv = np.convolve(rnd, np.ones(N)/N, mode='valid')\n", + " plt.plot(range(1, len(rnd_conv)+1), rnd_conv, label=f'$\\\\alpha$ = {e}, vs random')\n", + " plt.xlabel('episode')\n", + " plt.ylabel('reward')\n", + " plt.legend()\n", + " plt.grid(True,'major',linestyle='-',linewidth=0.5) \n", + "\n", + "plt.subplot(122)\n", + "for i, e in enumerate(alpha):\n", + " opt = rewards[i][\"vs_opt\"]\n", + " opt_conv = np.convolve(opt, np.ones(N)/N, mode='valid')\n", + " plt.plot(range(1, len(opt_conv)+1), opt_conv, label=f'$\\\\alpha$ = {e}, vs optimal') \n", + " plt.xlabel('episode')\n", + " plt.ylabel('reward')\n", + " plt.legend()\n", + " plt.grid(True,'major',linestyle='-',linewidth=0.5) \n", + "\n", + "plt.suptitle(r'Effect of $\\alpha$ when training SARSA against itself')\n", + "# plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### discount factor $\\gamma$ experiment for SARSA against itself" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "100%|██████████| 10000/10000 [01:20<00:00, 123.70it/s]\n", + "100%|██████████| 10000/10000 [01:20<00:00, 124.73it/s]\n", + "100%|██████████| 10000/10000 [01:20<00:00, 123.78it/s]\n", + "100%|██████████| 10000/10000 [01:19<00:00, 126.07it/s]\n" + ] + } + ], + "source": [ + "num_episodes = 10_000\n", + "gamma = [0.5, 0.7, 0.9, 0.99]\n", + "rewards = [None, None, None, None]\n", + "for i, g in enumerate(gamma):\n", + " rewards[i], _ = run_experiment_shareq(env, num_episodes, classic=True, alpha=0.2, gamma=g, lambda_=0)" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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P+AF4EQgt/v9HpVT8GRyfEEIIIYQQQgghhBBCiHPsvA1ya5q2UNO0b4C9HnS/AVivadpXmqYVapr2NfBvcbsQQgghxAXLoTkA0DSt0r6apmF32D3bsaaBvdKb5YQQQgghhBDCSNP0f+cRr3M9gNOkNbC+XNu/xe0ulFK3A7cD1KpVi4SEhDM7ujJSUlLO6vHEmSfn9OIi5/PiI+f0/HGi4ATLTyzH1+JLz8ieBHgFVHkf7s6nVlgIs2bDpo1w002oZs2qvG8tJweWLoNaMag2baq8/elkc9hYmrKUj/Z9ZGj3s/jxaftP8bH4uGyzPm09L+18CYCuEV25o94d+Fv9TfdfbesMqm+eCkB2TDf2dn+J5SnLsWt2Lo28lKT8JNamrSXcJ5xLra3wXr4S6tVFtWpVOr45R+bw94m/eajhQ9QJqHPSz1U+o0IIIYQQQpw/HJqDfFs+Ad5u/l7bvRi+GgYouH8zhMWd1fG5c7EEuYOBjHJt6UBzs86apn0MfAzQoUMHrUmTJmd0cGUlJCRwNo8nzjw5pxeXC+F8aprG0kNLSclPAaBLdBdig2Pd9l90YBEPLn2QBmENuKP1HfSr0w+LqsKNPDOuhv3L9cdeftDlbujz1EmNPTWnkHbPLSpdnnd3d1rGhp7Uvjx1quc0b8tW0r6ZScacH/Bt0oSYl17Er8z+HHl57OreA0dOTmlb3LSPCerRA/LSYfs8imq1491DC9mbvoe7jyXSZPdfoDmgzzPgHQDNh0BwzVN4lq52pu1kQ/IG+tbpS4RfhGmfRQcW8W3Ctzzf/XlqBpY7ftp+2LkQivKgWgNo3B8sJ38D2L6Mfdwx947S5c8OfFZh/0YFhez0dQZyfx36K3EhcYbzqWkaR598kow5Pxg3fvwJwm+5mcjbb8caqr+/UvNT+WHXD/xz5B9271pDpx0ae2pZ8IqLY/Jz+1yO7//i09QZem2VnqOjoIDM335DeXkTcnk/lI9rILrEnv4DKNzr/mY1K9AHSOpl4acuztc935HPmLVjeLPzXPo2rs/sHbN5btVzLtv/k/oP/6T+w8prVxLkE1Ta3ue7PiTnJusLdWsXtx6CtWNK+0zbP6308dMz7XgfcGZozLujFV+EbzMca8LmCdzW7AHu7nAjFmXhlbWv8OW2LwF45EQaRZaRVO9xNwczNTrXi6B9HeP78UL43hVCCCGEqMjR7KNE+Efga/U910MRF5iknCTC/cLPm/dORkEG3b/tDsBH/T6ia0xXYweHozjADaDBH5NgxKdndYzuKE9ufT2XlFK9gD80TXMbkFdKzQX2a5p2f5m2t4E4TdOGudsO9CD3unXrTstYPSF/yF185JxeXCo6n6n5qSw7tIy2NdoSHxrv0f5yi3JZfHAxIT4h9IjtUbXgshtj5o9hU8oml/ZvB3xL80jjtb3vd37P5JWTDW0v93iZ/vX6A5C3eQv7r7kG7HYevdHKvmgFQKvIVow/doiQY9tpU1DoOoj/rYXqjQxNmqaxb8hQCnbsIOKGG4ia+Jhh/fPztzFt+T4s/gfwifgb7xD9OVTzjeFEwREARjUaxZ0tbiHywCp9oyYDwMv1h/2h1FxW7jlBz8bViQrxM6zLKsxi3G/jaBjWkOd7PM+enXuq/Bm1nTjBrm7d3a5vODgJe6GFrEQ/jm8OMe1Tr38y6eEaywL8eS6yOKinaVy2UWPECgd1mmUSVzsbZdVXZQRV56qoELIcRaX7mNJtCt0ObiDyrzf0hn7PocV1Ii/ZilZYSECXLiilDMc9kn2EET+PIKsoq7Rt8w2bXca3LmkdKx4YxxX/OX8PiP3gfYJa1UF9fCkUZrs+qUtug+MJ+kWPe/6FavUNqx35+WQvWYJf06Z4x8WR8/ffqNAQfvHdwZTVU9y+nmX5FWi8Mc1OZBb8W0/x0mirYb1VWQn3C+engT9yuG2XSvdXc9Iz5HZuwZEhI/Etgg31FJfsqtrvPlFPPUnEmDGV9jsw7gZy16xxaS/yd/D+TQ7+CfVjzBI7g1dV7fjPjLGyvbaqvKMbrau35qv+XzHzr/c48vEHhOTCZ5dbyPF3v8+u2xzc/5PDdF2mv7790XDF8VC4ZJfGvijF/pru99ck18K6xMd5uF977urVwLDuTP4cVUqt1zStwxnZuTivye/44lTJOb24yPm8+JxP5/S7nd/x7MpniQqIYt7Qefh7md9JJ9w7n85nVezL2Me7/71Ly8iW3NTipipvP2fnHCatnHRevXce/etRft33a+myy9+SeWnwcryxbVL5vONz8zv+xRLkngz01jTt0jJtfwGLNU2b7G47kF+AxamTc3pxMTufb65/k8+2GLNOa/jXYELLV1g4637q7E5j5LAniWzSCr/iEgmF9kL+PPgnD//1cOk2TSKa8N3A705pfDtSdzBi3ghuXGSn0w6Nb3pa+KulM3D+Xc+3aVJog+qNKQqNod2X7Uz3s2DTFWTOn+/SPvoxK1q5oOlTKamMyioX8KzZCu5Ybmja2aUr9rQ0Q1udmTOxHUtiui2aD3Z9hE+1FQD452t8/qZr3eA5XRWzelrZsO8gVoAON8PVb5JZmMltnw/G92Aym+oq7FbFF0eSaFtQyJv2UVw3bBhROTso+uMZ2pVmp0K3mG7cH3e/R59RTdPIWbOa9V++RY0/Nlba3xPpAXD7fV542TRmvur6fPOr2Tg4NAcLGo9Xj3S7n26p+UxalUvqpmCUZjw/EY2zCWwUSeCUlShfP6755Rq2ntjqso95Q+aVXpzJt+WzuUNbgvIrfw4BUQUUpHthrV5EapSDer75RMTmo2mQ0/Ur/Np1wpGVyd6rB7rdx6M3WdlXEgDVNJ6e6aDFQf33j/KB7Jc/s1H3mHH7F0da+K++wqLBpK/sNDlc+bhPt7BG2QRGFhJYswCrjwY3zocjG/RM9/Y3UJCcw97+/Svcx8sjLDz6vXnguCIJteC10SFk+ua6rAvK1WiaqLGltiLPz32Q2WrXmPGGHd8yJbh/7KL4o42F42HG7Vruc/DUt1Uf58yeFq5bpm+3OxpeGmklM9C472fzBzF0/POGNglyizNBfscXp0rO6cVFzufF53w6py0/b1n6eFKXSQxvNPwcjubCdD6dz6q47ffbWHV0laHtl6G/UCek8lJ+BzMPMuDHAaXLj3V8jDFNK0+sOZOK7EW0+8oYQ1gzZo0x+H5wNXx2uXHD8yTIfd6WK1FKWQFvwKd4uSRVr0Bzjcx/ATyslLoW+B4YAbQHxp2l4QohTpPk117jxCef4lW9Ot61a5P377+EDhpI1MSJ5CckENC+Pcrbu8r7nbZpGp9vmU6LkHgm936DqPKlGYCkjHy2HsvDu1o2Iz9cSctaoTw+sJYe4NY06h4Dv0LQFHTZfpT4p69nfPG2WesmU5I369usGUMH7qDpQY2aIYqkCD3Ik5CawN8H/qTb9KGlx8xtOYKBtj0k558A4Ifmd9Nw1ac4ThzghOV67IRTY8JDWPz1Hyoj541k/K92+mzUvwbv/sVBlwSNnztZSIiDkcvuY8nBRHYGhDA+0plhXCNNIzpVY0u84taFDjI3uga4AWa9ZGfcg1byfZ2BqeciI5gVHMRdGVn0KSnJYdOjo+lz5nD0iSfdvu4HrrsOgDah0Gqglfp7NHL84K755gG04f9oFHo5aNOtOFB94g/uGdKWHgn5TCruU2SFMY94MS5GP4eXZy8m6qfZAIYAN8DfR/7mgeg7KE9zOMhdtw5raCjvrTpCtenv0TlJL8FQw+2zqbqwXJj9oo1cN1Ur/E548XS1CBwW98HJ3hsd3PmrF2mEYNYrdUcQqTvyYV5bfF5+iq3prgFugIFzB/JEpyc4mHWQP5Z/wdseBLgBco/pmfT2RCtBiZBMAMklK797xKN9vDzdzkO3WHn9U9dAf7u9Gv+bZ+eSXRoBBebbT/yu8oBrth8kVoOd9WHQXx4Ny8W6ZhrNdyv8TW5eSN8ZRPpO/XGDgUl4z9B/IU3bE0DS+IpLr5RwF+D+sYvi3wYWnvvSfMLIJofhkzcyqdXjBFd3iSTNql8UUJrGZ287t8mIstOizQmyIzX61a5l2EebvZohwA0wdKXG0JV2xt9tJS1Yf3fFZdp46luPno6LkgA3QIOjMGSlgy/6GjPx08KOld9MCCGEEOKikVWYVXkncdEoH+AGuPrHq2kQ1oAfB/9ouk1KXgq9Z/d2aU/NTz3t4/PUhuQNJKQmkJKX4rLuoaUP8UHfD5wNaz5y6YOmgTr5O09Pl/M2k1spdSMw3WRVXaAb8JGmaUFl+l8JvA7UA/YCD2ia9ntlx5EsD3Gq5JyeHnlbt7J/+IhK+9k6tKDZF99itVgr7VsiMSuRq364ytA2KTWby/xqsm3gq7Sr2Z6MHAd9vh2OpgrJTxyLo1APdXoFb6GF5Ute/Nw8+OSpp663cvsCO3k+0KJxOvWjcinCNSgLsHDfYTK+jTK0eTdpxPGjewnLsLn0L5EaBI/cbCUzAOomQbNDGiG5GjtrqdLg2olgqObB71233GclK8D1h1TTgkI+Tkpmv7cX6UM/JmrI45Xv7CS9O9DCbQsc+BW5rnt1uIW1jZwZ7E0LCrk/NZ3x0eYh6viQeB7r+BhdY7qSv20bRx9/goIdOzwey/OjLOT4KV74wv37IKxBDtf1q8EHU3Pc9jHz4kgL/zVwPpdbFthpmqjxT1MLP3dSphngFRn1mLXCXzBqpmq889GpvZ/PN/ffbuVItTLPWdOY/aoN7BX/ohVYKw+/yCLC6+fg5a2hFGjA3JQImvzhV+G2UV1SOXwwCK/D7utuV8Su9M9rYiRoFmeWe/ODGjftzKN7jXQO/hrlsl1wbB75vbN5MqQaz7zvvvxR7tXp3NhSvzvAu0jj69dO7Zwf6p1Lq2N20rYFV2m78neHjAxuzNPDvjf0kUxucSbI7/jiVMk5vbjI+bz4nC/n1O6w0+bLNqXL50M27oXofDmfVVU2i7+8F7q/wMD6rne7Dv1pKLvTd7u039fuPm5teetpHZ+ZrSe2snDfQgbUG0DjiMYk5ybT57s+FW6zadwmZ5nMyRGglfvb4qEdLnNMSSZ3GZqmzQBmuFm9H/i6XP8FwIIzOigh/p8o2LePIw8/gndsLFETJ+IddXpyWwv378eRm4tv06YopcgttLEjKYsWET4eBbgBvNZtYWn3Fky404+aATXJteXyZOcn6Venn9tt1m0wXi+LzNB4yyeQSQHZsPhOqqdrvD/VTknYJSXkFSIzocALvG1w6lW04bmvnD8ECo+EsZ0wAGZjY2E7xadX6EF7q11zCXADFCXsLN7CvYhs+OQdO2mBEG6IszovZnoS4Ab49G07s3pYmNPdQmCeRvdtGj5FMHaJhaPUxBeI+vzMBbgB7pnnPnv34TkOVjXW+KKPhZRQxXZfH7cBboD9mfu557fxfPNlOI5jrlen3bntHisZQc4A3dPXW7nrFzs108G7cQhx9Xfh5e9AKdjnbyUlrIC3Blvc1jI2o2cp6/231FG0KJ7kr/ZxB9ecREbyyBUOvuuhv5+65+axIsB5a5l/vnmAe/SjVi7ZpXH3PPOLClWxsomiS8LZu4C+oxbGADeAUox6xJvbf7PTd4NzLGt7FNHvaCGBNQoIjs3HrES+AoZGppJ6jYX/1azO02+ZX1A7tjLC7S9R4++2kh4EAfnQ/IiDCbONr8euWCtPXI/LxQgvWxDPeO2maQP3JyEr0Z/APxTPHK34mynglzA2Bx3EBuz6NqbCvhVpMvoIaNDUAkRBzVZZ5J3wZv+i6h5tP+slO5lPXsWbai1d61xGt/jLK99ICCGEEOIC8cLqFwzLVuV5MpY4z+37C/77CtpeD3Uvrbx/OT/u/pF6YfVoFN4Ib4vzbnSzADdAgFfASQ/VUw7NwfhF48koyGD61unc1vI256T0FWj1RSsWDl9ITFCMa4AbIOOwS5D7XDhvg9xCiHMjZ+VKDt50MwD5W7aQtWABYdeMpuYzz6CUYub2mfy27zf61+vPtU2u9Xi/ix55jtifZwLgc8vtZF1zE0Pe/xuA3+ZOqNIYY1KhWkoRiRGJADy49EHWjlmLn5cz89KenU3efxtI+ehDtnv9i39XC+HZcPc8Ow2OVrz/yEz9//K39ps5EQJrGyg67NZKt6uqK/7VWNBeo3Gixh2/Vb0ObnnhVUgkntNV8XNnC+12a9z3s/HYo5c7aLXPQdPEqh3/9nusPPulHgiudKwNcyjKsZKf5o0tr2q/EHbeoZHt7+Djq6w0O+Bg0kzj+MuWYPAr0PjiDTsOKg9wT77OQmI1xU8nDrPiuIPZ+UGlE0cmxCnuvbPkR2cuHJzAZvvLAAyJ1QOJ/zSz8E8zCwPWOLhhsXFMK2Ja8l7rYXxu+wPfRX+7HLskwO1Oth8kh8K0K62kB0KbfRrjy71nRq7Q+LGLxj+JifhrGgc3hZCzLcjNHiGmcxr/HchjWo0Qxk0Io8s2vV52v/+qHqhe21Dx5lArbwJeNo2Jsx20dPOc7N4WrEXu3+9Dr36ecG+NH7Y/RnqC8deVwEY5+DTPIcTqoImXg6dwvSMC4OOrrHzVW6PQC147kcK43DyoZdqVLvnvYlUOVvjeB0AEDmYmHWPctbV4/BvPX4sxD1sp8tLfdxZ7NCsK7yS4xSrGb/kZgEe638nmyPqwo0ivfaRAWbPR7IGgeXOHSuJ5r0/pbt1Ko2FHSd4QQvreQMMxco5WnGVeIml9CGm7XM+9CtfQ0iq/nXD4gCn0LNpID8sm5ts6s9URTzrBjIv8h8mPbyVtxX7yD6Xh5W/nRHGGd0idXDIPGH9BD5nyGzN+mFM6Z4EQQgghxMVi9s7ZhuUVh1cwuvFol8nhLxYOzcFdf9zF30f+pl+dfrze8/WL87lqGnxenIW9aRY8k+6SoLLyyMoKd7E2aS3X/HINFmVhw9gNlb5OCakJpzJij2QWZJJR4KyfPW3zNI+3vWLOFWy+arb5yvz0UxzZ6XHelis5W+RWRnGqzsdzqtntZC9bRkDHTliDAivfoIztTZqatgf16cPRJ8dxy++3lLZN6fw8dQIupXVsKK+ue5WknCSub3o97aLKTFRgK2TZsoXU+J+zdm+GTyDX9J9MVM4JFDB90YsuxztQHQ5HKmona8SecB3Pj10U3/RyBkXrhtblx27vc/y1l8hc/h/21DTXjU6ziEbZVG+dyX4/LwYXBzivWuvgpj9OPVDtiX96t6Trks2Vd3RjymgLm+rp2aAPHLNx5ZJcMvad3NXjx8dZyQiE1GCwWxVoGuHZUOgF735oN53gMP7y4/hHODNWbyp8mENZkby76G3TY3hFFmJLcS0NcdP9Vqa/ZV6K4dpHrFgd8JUHpRqWN1d83ctCC698TiQNZ1XBpYSTSTWVyfTAifSPM4+OPpLozyuxea4rNI1vXnJgRcOBYuSA58j11oOTAUV5zJn/VKVjKuutrp3497Lt5NuNkw+GZ2m8OMNORLm5QYNq5ZF/wgdbvvuLB1Ht0olo5Nxfy3Llc6qna6SE6o9DcyA9SBGQr+Fl18+tbxFkBsLVazQC8jXmdrFQ4GP85W3kX3ZG/q1h8bcTXLMAW9Oh2K4YjNa2A6z8m8JHHwBAXdKZ0Pvup1p0JN4xMSRnFRAV4geahv3xcGwFVhw2hZe/HW9/18/YJ6EhvB0RZvo8h2Rl81yKeY2741oI/Qte4niZeyVCyKEAb2qpFNJi53DZjkO0OKCxoZ4yvRD11PVW0oIgOQzDL7/Zux9BK9IvkAQW5lFo9aLIaj6ngNWiWPTApeQU2Kke7EvIsdUEzBykr2w+jL3TEynYa37FKap9OsfWmz/38sLa5bPrwbl0axhP9vIVHJlgfpExbsYM9sc14evVB4gJ9eem7nVJyynE18tCjZAyQfZDa+DTMnfS+IWRFv8ySZNc5/0OufpqYl55GWUxZqFLuRJxJsjv+OJUyTm9uMj5vPicL+d0zK9j2HR8k6HtYi5Z8tu+33jkL+ff9u9d9h4943qe8n7P2fl0OMBicodkRiK82dy53OhKuG6WoYvbUiUm9aljg2J5q/dbjJhX8R3sm29w/n2vaRp/H/mb7MJs+tTpY8gGr8yO1B3sTNtJn9p9CPB2/o2//cR2Rv0yyuP9uIzPFs3UrO0sCAzk3rR0+uQW/x084jNoYZxw9Vz8ji9BbvkFWJyi8+acbpoNiWvROv2PhG7O+tPho4dhz8yixn334B1dE3yN9VQPnsjl0leXANC/usY90x52e4hrHvfBoZUL8Gx/Ckf9D7D4OCPR73d8is51+uBj9cU2KY68FG8Sl1crXW9XFrZXq0mLlCMux5h2hYVF7Yw/ZMKzNCwaTH3fGKgsX3v451mZ5O89c7f41Ol7HO9AO44ihU+w3fBza0FgAN8FB3FNZha9Ugqw5VvxDbGx44ea4Di5K9uvDLdwpJpizBIH3jb0wKI3DK6VQlBMAfH5X7NnYg9SP/+clA+mVmnfbw3Ws41LZG1/iR6WTTxYNBu/eR7OSFhsZRPF4qtsbPLzNe+gaczfdoxY7yKUl0ZR7EC8r3wQNf1ycOhB7oR+X3LlPD0Ya9EcPL7mC+plHCU6V39fNR5xFEtsC3Z9DbbjJlc9TlL5Ws4LDh0mulpzsm74k9AAbzq/sJikzHwut6zleusC/tfAszT5wqQBFKT1AE2jVk4KRwMicJSrI9/+WAJTVn7i0f7ebT2MX+t2pWv9arw3thGB3oEM/fEaDuXot7opTWPWS1WrudxwSBJefsbP8/1BrVlc3fwCUVFWU/ITx+IbNR+fCNcs9IqM3dmBZY4OvHvfddSrGW5YZ0tNRfn4VnxB7vC/MM11chYzA2tFs9/H+Qug//7RrNFedek3w3Y5k2w3Mv2mS+jZsDrbkzK5e+Z/7EsxnmOLTzKB9d9wNmga73zovFPh7UEW/m7u+otxYVonCpKGurSXWP9kX3IL7cSG+3uU/aI5HCQ0a+7SXrtXCoE1C7mm8En2ZtfkvSVvElxkctEFCKlnI2b+Tpfj2dPTOXDjTRQk6Nkj9f9YhE9sbKVjKrVmGvw6AYJqwoPbwGJlZ/ce2FNc75yo9e47hPQzlpeSILc4E+R3fHGq5JxeXOR8XnzOl3P6ytpX+HLbly7tZYOVF5M+s/uQnGcsb/Ht1d/SvJrr76nurE1ay5qkNQxpMIRaQbXIt+Wze+duWjRrcbqHa5BdmE2+PZ9I/0jIz4CXyiT4PHYQ/EKdy5PCKFv2E4CnToDVeYepWZC7pFziBwMsLG1V9cKnZd83UzdM5YON+oSPD3d4mHHNx3m0j9k7ZvPcqucAGNtsLI9c4rwoseboGkPiYlX9nHiEQbHOUojdcvOYeCKNOle8ApcY9ytB7nNAfgEWp6qyc3ok+wjTNk+jRkANxrcaj6W4CKymadiOHCF/506yFv1BYLeuhA4YcHKDOLoRProUB7B0ezWiN7oGG5XVQZORSVC9Cdy1qjQ4HP/Y/NI+npQNGTXR8ypHs/9Ohb9CPO5f2f477HTwyBxjUG7SdRa21bFQLVNzCYJXVUL/XH4JCmRfNQuddmiM+9N5rOiOaYTVMw8cVaYwy0rucR+CahWw60dnnaqDocHUzjAvkn3f7VaOlq8zDMw/dITaNhuDCp7jo8duIzpUr7dsS0nhxLRppH7+RWnf17tfwz1P34s6sI/nv/mDnBA/tlIXDQtewZvxDluDpnmTf2QUOJyZmWH5WXyzwDULs8TYh6wUeEOdZGhry+ORohMEaxp/+/vxRVQzbqjWmK7rv2Grjw8vVAtnRFY2Q7OLA4dPpzmvlDvscHwHVG8MFiuvLkzg/SV7So+zc8pV+HhZoDAHclIgvA4AyW+/zYmpH1byqru3soni93aKhFilZ50Dyw4kEuFwQKvRMPBt8NZfV4dDo/OLi0nOKijeWsM3eg4+Ye5/bnzU7yNCac6tn6/jaEYlFww0jdjs4wQX5vLG8vdKm4umziCqYV2Wbj7Eo8uSDJvsf0n/nhj71XdssD9b2v7inALq7/Ss5EtI7VxqdU03tLXI/4RsZSW4yTOG9rxDY7FlO39pHXgJLM1+zLi/rNpkBh8s87QsKKV/frzSW1DNfgevjWxNm7gwj8ZnasM3sPEb0qzVCK/VCJa9ZNrt7sJ7+MXRBeWVjmYPAM0HhYP66ggh5HJAi+IEoex+/iq8rK6/eGYX2Jj2117eXryrTKuGb43f8KnmLJIemaGhKTgR4vyceis/0vfegmYPQCtyXthbOfEyokP9sTs0DqbmEl8t4KRv6yw8cICio0fxbdwYLz/gwEpazMghm+ILfJrGbz+5XqysM/UVAnpdXeGkpLbjx1G+vlhDqva9bcaemcnhBx4k52/jBZGw0aOJnjzJ0CZBbnEmyO/44lTJOb24yPm8+Jwv57Tvd305lnvMpX3juI2lf/tfTNxlL3sa1E/NT6Xfd/0odBRSN7QuY5uN5dmV+t80cwfPpX5YfZdtNIeDokOH8K5d+6R+h8635XP/kvv5+4jz99LN6VZI22fsOKm4jIfDDs9GuO5oyFRoc50+Jk2j1RetDKtftw8j7hVnOY+SpLzq6ZrzjucKNA5vzPeDnBO0l3+tK3qNc4pyWHF4BR2iOtBrdi/T7Y7lHGNN0hoeX3F659aqafFjUY+3IL6boV0mnhTiImNz2LhizhWlyx/89z5WB/ww4DsKeg4z9M344QeOv/0O9RcuqPoX9093A7AkwJ+A3ebZtJrdQhJWah5PgMlhMP4vMsKc9VGbpB4w9o8oIr2aRvguY3mIqDSNY+Eejq+KAe71DSreb4OrroE5Mw1tk2Y6eOp6ZZjYsTI7q9Wi0YnDpcuBNfOJ6ZxOUz8HQ0knKdPKqnp+xIXk42MDnyDzffcJ/onFl6dQtGgy3pkHTfsA+ATb8QnWA+T/9W5E4H+5rK/RmC+aXWV6YWH4g9FYfY+7tM/el8drhXcw39GJrc8NwM/bGdD0iowkauJEiqzeLJ7/N9ObDeC+26+kde1wqB3Omy2b0vWlP0v727JaYsvSf2iG+Hmx8ZnLqTvxVwDS/YIZ0f85Jq/6lOap+/krphXvtBlJ9bw0jkRlYi1agSMrmi2p/UHtY4f3F3Sw7KRpni8fjZgNQdXBP5rmK97g66PFv/A1vALGlKvfZbFClPM9+PAVTXigbyMSkrJoXDMY75IApE+g/q9YjfvuI2f5CvK3bHH7mrvz5mALK5tZaHa0DcN8U0jM2sX4NncTMXQ0hES79LdYFP88dhk7j2Xj72Nlxe4UnpqrsPokYw1wPedRAVF0jekKwMqJfRj76WqW79KzWX+5pzubD2cw8Ycyv5woRWKwPmFm8k/L6OQ4gVdkJF7V9Un9RsfWIMVvN68u3FG6SUZeEaH+3sQFNmH17n5Y/Q9xd77i6nYL2XO0OoVZ7m9ji+mSik+wHb9wPYN+taMJ79mGsNLRDBtevDi0Jcd4kE+365nLeYnXY8tuzvie9RjUOoZAHy/iIwMZOucHdmevAeCZLs/QL24wy3cf5otNc1mzJR40Lyy+SaBZWPi/kTSMCnY3JM+1uRbaXMuxhATCmzSBXo/Bsa0QFmfIungxv4hfJv2OZgsrbdOwsFuLpX71QCb0qMe1Hc1reAME+XrxQL9GrD+QxordJZnIitkjn2fYjOkE1P4MgJRQRfbuhyEZfr+/F5N+Wcff27wpP1Vt7YiA0otRVouibmTVSkiV51OnDj516jgbmvRn0wsaK/eeICW7gP4toykcWp2DN94IgF/z5sR/MxPl41rqp7yS993pYA0Jofann+AoLGRHq9al7f4tz2yGjhBCCCHE2WBz2Gj7ZVu361t/0Zovr/qSNjXanL1BnUOLDyymT50+lfbblbaLQkchAPsy9pUGuAFuXHAjy69Z7rLN3qv6U3jgAKEjhhMzZYrpfhfsX8Cve39lbLOxZBRk8MBSvSTi6MajmbVjlkv/HTmJNC7faCuEqV3hxC6X/gDMvVP/uzawmkv2/qIRi0hrb7zztOkhaHLIwbV/6ck/1zxqxWExxjxuaXELn275VB9T2g5OxvHc41z23WVu1ydmJbIjbQcPLn3Q9c58N97u/TY5RTkeBcSTHPk46nThfLikI5nckuUhTlFF53T6lum8sV4PFnkXaXz9mp0iK3hXEI/1rlObenPnYvH3N65wOPTSDl7OIHbZW01uS88g8bg/N33v/qtlYTvFp1dYmZt4hPpFNlb0+ZHrf8mhQ/IOnlv5qaHvq9dBjWoF1PjHj6vWO78n3hloYUWLyr++olI13v2oapnV6+srXh7lmon6+WV/8OQnC7jTMZPa/x3FZ3eRydaufuqkmH2phcdn2WleHI/8pPkA5jTUf/hYcLDX73rzjftOJi22N9d+9A8LfI1Zq/86GjCicBK/3d+LxjX14J1t3994fd6/wvG8VjSS9+zG8gVDdv9VOiEdwDVXTSLDV58ozr/2x3gF7tVX7JxAlj0SgIlXNWF8T9cr3JXZlJjOoPecV69bx4bi0ODePg3p1ywKTdN47fcdhmzqqvj61k50a6CPEU2DgyshcS3U7gKxl1SYQVpVhfv3s+fKqwxtPg3qE/fBB/pxlIU9ffu6bDdqoheaLYD43Ff55Z6qz5ANkJJdwMqD23l87djSttigWJ7v/ryxHj1QZHew5XAGzWNC9ax0YMA7y9l6RJ+l9Kmrm9E4KpiYMD/qVTefHLLAZqfxkwsqHNMLQ1pwXXwm5Bznhfu+Zehu4y+Ht/R9lIIgH9b73QnABkc9hhTqvyDWDPFjRPtYHrq8UekFtqScJHJtudQLref2mHvS92Bz2GgU3shwYe6OL9ezYKuefb792Svx9zm9M8x78nN09rpDPPK9szbigvt70KRm1S66ZRfYaPHMwtLl/S8NYNpfe3lh4RqUdxqO/FjKB7TL69+yJpMHtaB6sJtSPgKQTG5xZsjv+OJUyTm9uMj5vPicjXOqaRobj2+kwF5Ax5odDb/z/rjrR57+5+lK93Haypac2AO/3A8htWDQe4ayGWeLQ3PQ+ovWbtd78lxXHV3Fbb/f5tE+NE3j2PMvkPbVV6VtETfdRI2HHkR5OZ9/TlEOnWd2rvTYZcUrX+btdRPMrohfKNy3iZazewBgcWi03aPx4dgf2Td4sKHrvI6KgWucsZTP+llY0MH498Psq2cbamRvGrep9H1WPpN79XWrDfW1Szy09CF+P/B7hcOOCYzhSI5ruVh3Fg5fSM3Amqw/tp6bF95caX+zsUkmtxAXmZIAN8DXxRPfVRTgBig6cJDM+fMJG1FmQoKtP8J3NwKgOSCz3Qw0H19uSXbWVpoWGsLsqRXv/Ip/NT69AobExvBkSioD5o/gt5+iXPrZLLC2jhfgBZdDVLqddnv0L+d75zn4tzHkeju/nK12je5bNUbnZnJXp1BQqsoBboDtUY3J2nktVt+jjG3fibjQKPq3iOLNV5/mV+9pYAWtPSRbQ0jdYR4QBBjzsJUiL+cvIB27ZXBpO9dZgx1YeNc2hHu85uoNsR1J944irP9TUL0x4UCClshdhffygc87/OdowISi8ezRavH5zR1LA9wAXnW76WUu5t2nN4yYDn+/pZeSAe4ovJ8Fjo6G44/qEMvLL7xI0iQ/0mfP5o0r76Fm7Wge7FSbZ37eSt7Bm7EG7MNeEAN2Z/bnyQS4AVrFhpWWujCjlOLhK5ow4fLGtHl2ERl5nl1MKFEa4NZ3BnW66v/OAJ/4eIJ69SJ76VIA4r//Hr/mzQy/eDZat46dnTuDzQbAB60GkXsgBnt+HG/c5z7rojKRQb4MbNaGNnG/ciT7CB2iOmC1mAdyva0W2tY21qCed3d31u5PJSzAx/AecsfXq/Igcbv4cKipZ/fm3lqdq1YNplHaQRqnHWRBnU6lkx12yJ9K/5ppfJ0UB8CLw1qaZjXXDKzp0lae2a2EAB+ObV/ptmfaqA5xrNmXyvfrE3llRKsqB7hBz+je+MzlbDmcQfs6+jm87dJ69GsWRXpeESOm/oPN4T5R4NvbO9O5XjW364UQQgghxPnncPZhrpxzpUv7W73eMmQqexLgBj1Qe7Jl6gx+uB0OF1+8jesEHW469X1WUW5RboXrMwoyCPUNNbRNWTWFJQcWM7HaJfRtdh2FheblOkt8vf3r0kk7E1q1hiLj36Sp06eTOn06TRO2l7al5DnngSmJTeT6wdpG7hNSsqg4o9kGKKBznVjyLRauzcji8dQ0yM9A+82ZBDdwtcaYpQ72/eQ6oWTZADfAzYscLkHu8q9XTlEOQT7msY6MggzTIPeG4xsqfC5AlQLcAGHeQViUhUtqXuJR/6TcpAoTpM4WCXILUYHk3GReW/cadULqcFvL2/Cxut7u7ZVzFNb+DY2vghBnAf6tKVtLH8ecqNodE0effMoY5C4OcAMcXhlO1mz9lpFyxR+qZEpkBPW/LcTsxvknxhmDajtiVWmQG+DnXzK4rW8w93wDsYY5AIOYvcTOoTp2wDUw98BtVtrs1bhhsfMHyj13WOl0pIgHc1IZG3WQr3MDsec2YMbyE9RgN71/f45XvJ01iZWCGq0zseVZyTzo73KM1CAMAe7wjLr0znve7evwum0kI0bfSHSNGhDVnKSEBMKqO29cWjWxD/3e8GJs3NVMvKopdx3NpG3tMPOs2/Y36v9KtBhGYlouD87ayJr9qS7dR7SPQ1ksRD87mehnJ1MShrc7ND7/Zz97U3Kw5zYs7d84Kph593R3+1xOF6UUyx/tzco9JyiyO4gK8aNDnfDSciYADWsEsfD+S/ll81FSsgq4rpP78g9nStyHFU+2aQ0KpMnmTWz74UfmHLIwL8kb30IL65/sQ1hA5aUbKj1+cBxxwXFV3s5iUXSqYvDz13t70P8d11v3SsSGO3/ZebBfY75adZCd4bXZGW48LymEMuneaxl2OIOCIjsd65rUmrtIvDayNa+NdJ9p4olQf2/jxRsgvrjcyCXxEazcaz4JamSQjwS4hRBCCCEuQC+sfsG0/f6l91eYqdw0oinbU7e7tP+V+Bc943qe2qCyjjkD3AA7fiWtxRCCfYLxspylsJ6tgOx/3qqwy7Cfh7F45OLS5SUHl5SWCnng8G/MXvMZRV5eEFUdNI3QXMgINF4AeGnNS6VB7vIB7rJy//2XgHb6XbQ5Rc6J43tt0hi/QI83TL4WtsabB7pPaK77dgBpFgs5FgsPEU373Q7CQxRHq8E3ocF8ExrM5n0Hydv8LcTrfweOWeqodKzu3NXmLmKCYgxtm45vomutriTlJLn0X7h/ITe2uNGlvUNUB37d96tLe2UeO5HKS9XM/x4MeLUhNB0Ew12TBc2sOrJKgtxCnGvrj63nyRVP4uflx/cDvy/NxtQ0jfGLxrPy6MrSvgrFXW3uMu7A4aDBvCH64/kPwlMnKDhwiPzt23hwx6O8/JOdQi9ofBi3Ftzemis/3ujSvr1JU2I/eJ+gzu0p+drXNMg65BrYNTOvoyK7VgSxO1Lpsc0ZoK5/RGNPjL7HwCzXL/yXR1jYF238QbO0peLaZc7l1IRgXk5wf+y4A8YA9+tDLaxuoh/rcKRifkcLDQoL+fFwEn+kAwH6v2qO3bRTO/lXa0QztZ9ffc3rPykL1OqaBkoj84DxSubk64zH/vPuH/CyeLHneDZ9XtefxJA2MViUonP9agxtW8tZ+9lEzVA/Nk921lVvFlO1jNDY8ABm39EFME7yCXBJfLjZJlgtim/Hd2bZjuN0rleNuAjXq7VnWoifN1c0N2bzzrjpEp6dt40O8eG8PLwVSikGtY5xs4fzg1IKa/NmPD28CZ7lWpyfmsWEEBvuT2Ka+eSnQb7OH+cRgT68NKwlj/1g/CW8eUwI8+/Vb6s7pQkgBQBxEf6s3Ova3rJWKO9ce/J3CgghhBBCiHPnr8S/Ku8ExIfEsz9zf+ny1/2/pu/3fUnNNyY3vfPfO26D3AW7duEVHYM1qII5Wz4fCPuMY3rTcYLPZumlF9ddvw5f6xkujZebynVfdmazX8XHSc5NptBeWJoceO+Sew3rR9WK5uVkPet69kvOO7+fGGtlV6wxBnH0wLYKj3X4oQk0XKLPOVXymkdkOgPcAM9842DURPd/6+cqRUBxCedjVit9a9cCoM0eB8/O1sc3eJWdUROdf2stDPDHdgqZ+XWOaRyIUjze6XEG1x/ssn78H+P5achP5BTmuKx7ff3rpkHuiu4UuGKdg1sWOVjcWvFRf2OspEVBIb8dOsyPAybTp3YfJi6fyNGco7x4+CDY8mHzbOh+Pz8N/onBP7mOtaxwP/PYxtl2PtQFF6LUrIRZtPy8JS0/b8moeaOYs3MOR7OPVr5hXhq80xYmhcKqDz0+3oRlE0jMTmR3+m7afNmGaZv0q1Qbj280BLgBpm40yRo9Zgwi2Z+KZN+I4Rx5aAJvfWyn7rGKA9wAn1XbyuhHzcsRJN71PxLadWb7tzHkpniTusPzCcs+rPkSX2gT+aT9O4b2oSsdXLLDQdvdrrfnrGyiWN/Q9WshLfjUbq9a3di5/Ysdn+DVnq8y+7DrlUmAH3wncaN1gdsAd1nRHTJc2g4HOSdOu6HZDaVXtutXD2L/SwPY/9IA3rqmLW+MbsOoDnEVBrhPt/n3OrOwr+tU8czQNYL9GNkh7pwEuN3p1bgGf07oxSsjWp+eW+5ElSx7uDe1wvyJCDRmoTeNdr3wck3H2ux/aQAbnu5HqL83A1pF89P/urn0EyevZ6MaLm3LH+nNvHu6n/LkkkIIIYQQ/1+k56fzV+Jf5Nvyz/VQqqRsBvWHfT/E2+rN273fdum3M22n6fYnZsxg78BB7OzQAVtamvlBts51CXADfOY4Xvp46oaK7249HVI+6uES4G5QWMgHSckufd/f8H6F+3q0RiRXrzbGIp7/0q5n9BVbeWQlL7wzssL92I4640Rp+WnUO6rx4ftVK5naKT6OLT4+2KE0wK0cGo/PNo7Pt9A5tglR1Xmshn6np39+1ec4fPUzfYzXNrnWtPQIwLOL7iZ94aOm62wOm0vb/L3zXdrCffWg8y2L9OfSZ6NGeJZxvBF2O7E2O/e0vYdm1ZrxU6/3WL1rB31yyyRWZR2lXph5hvbAegNLH+fZzJOxzjbJ5BbnDU3TmLLaOVPu9tTtTFo5CXAtYr83Yy+T/5nMv8n/8uVVX9L6g56l2c4seFT/FxIL9XrBoHfB4hrItDvshtpNoF9lfee/d1z6lo4x5wQqsMwt6D/cbliftC4ULdfzD/dLI/RxaRbFqIleXDerM0P2rjDte+CP6qbtZlL8QnAUZ6UnZxUY1nXcqdFxp+uX8Wf9LCxvbh64LMpowzOdWzF51Wcej6HEmAnW0gkH/7n2H4J9imsQ37QAprvWOgOY5P2FaXtaSBOsRTmE5B0CQPkoDrzzEe2TDhDQsAGBXbqwMCuRRQcW0TKyJR1qnl9zjTWPCWXW7Z05mJrLwPM8A1qcf6wWxd+POWfNXpKQzLHMfAa3qeV2m7AAHzY+c/nZGN7/OwNaRRMe0ImEpCwGtYkhMkgmlxRCCCHE6ZGzeg0Hb7gBv+bNiZ89C2U9vRN5ny9sDhs9ZvUoXT5tkzSepLJlL8oavsJBt20OMmMWEdKvH4X2Qnan7y5dHx0UDUCbGm2Y2ncqd/5xZ6XHSn7pZefjV14l5kWTMinf3VDpfj7d8in1wuoxqP6gSvt6QisONpdNajqQfxyIcgaileKY1YseefnMO3SEgXHOv20/2/IZD7R/gG0n3Gdij/vTNeEuNgUSi0Mety+6nTsPeh5ATsxO5K75lQe4p3SZzJMrn9EXip/LtbVqclN6Zmmfzjtcj3vpFo1F7VxjJW99XPV5yACiAozzot3U/Camb51eurwt6wBpJ9Kgumv5w2WHlhlqw5d3R+s7iA+J59LYSxk8tYth3ZglDj642oLDoj+XGJsdyt4F8FYLXJ5lRiIAgyJa83OqsQJBXHAcDcIa4O/lT4hP1edAOhMkk1ucN15e+7LbdXN3zzUsf7H1C/5N/heAsb+NZZXZbTOZibDhK3g2HLKNVxh3pO6gzZdtqjzG3Nfqw/LXwWHXs8aPO2t2pO4KIPNgxVm34YP70XDjf7w/wMIbQyz828D4FfJRqyFVHtNbgy1kRRmv5v1bo7Fh+c22o6jMgg4Wcvz18VxV6waydz9CwfG+5B2+lvwjo1lTs1mVx/ZCz54Ueev7vKn5Tc4AN0CdLtDxdjdbmgu/ZDQhj26BZ9LhmXTU06lcefmlVB83lsAu+hd4bHAsN7W46bwLcJfoVK8aIzvE4ed9cf6iKs6e3k1qcE3H2vj7yHvpXOnaIJKbu9eVALcQVaCUsiqlXlVKHVdKZSml5iilIj3Y7k6llKaUevJsjFMIIc6lgzfowc38rVtJaN6CtFmnMhvT6WPPzikNgp4Ou9J2GZYPZ1dyG3Qlig4f5vgHH5C3ectJbW+WEVs9XWP0cgexJ+DwPfdSsG8fW596iOYHnIHaWkHOpJPutbrz2RXG5DCHZgzqFm5fb1jO+PFH8reVCwqv/MB0jCkmdyI/seIJ8ydURRkFGYz6ZRRX/XAVe9P1unxvrH+DG2OiCM7VeOUzO+9+aCf6hEZW8Thq2YyxiLbV9Tlx/j78t+kx6h41f//EpOrttZM1hq9w0Htz5e8zzaG/rh9s+IDaxyvpDAzK1IPZdZM0Zr9k57VP7ITkaEwPcwZoxy12DcDfttB8kspw82silaoZaCwLWn6iSZtSzA80jy3dv/R+Q0md8p/HMU3GMKDeAOw/L+T9qcYg/KVbNfps0Pu3KCjQZ1GzF0BRPtjd1BSfdx9oGkUO1/V3trmTHwf/yMwBM+lbp6/59meZBLnFeePr7V+7XbfisDG7ec6uOYbl26OjaFm3NgdtXhRkmNyg8NkVhsUR81xnvgW4cZGd2S/aGP+r8XaZErt8vGHxs/CssTi/rUBxbH2Y2/GXCMr4Fq9t39P91imsamopzXAuZclnwCD3wf6ybr7PyqiJXvzTzELD7saM9PdaDzMs/xnXzqN9lrin42i0oggKU/piy2wNxdfzbu/zsEvfhiv/IXPeMq4a/CpXDXmNac2vBmB+fGeWhw8kK2EKb3VayIMdHnQ9UP9XYVIG3L7MdZ2ZyEb6/0o5/wkhhBDiQvIYMBjoBMQWt31Z0QZKqTrAQ8C5TfETQohzJOmZZzj26qvndAzpc+eys0sX9o8ajWZzLZngqczCTN5a/xafb/2cfLuxRMnxXA8ilRU48thEUt55l/0jR+LIr3r5kw3JG1zaYk4Y4wJ7r+qP3w9/8MxMBzcs0oOI5Wtid4gyJlylF6Q7FyaFYnvfGJ8A2DdsuHPB4YCFEwHQgANeXjiADb4+XBNT02Vb0O9UP5R1yPyJeejd/94lITWBw9mHeWDpA/xx4A+mb9EzjIf94yA+GaLS4YG5zuCpd7l9tLbrCTgfbDQP0j/3lXn2c5u9Gsqh8eh3dkYvNw8ql+fIza20z4br/+PnIT+zadwm1C/3MT4tg5en62OonQIvzjCOp1qWR4c+JeUrCpRXpBT/BLifi23Z2xM5MHYcttRUCh2FhnVhfmEAHH3yKdNtb1vo4Lb0DF5MPuFsfD4Knqsg3yA3lY7H9lU45vOFBLnFeaHAXlDh+uWHl5c+Ln8VtEREpkbGD9XZ+1sN0veV+0JI3Qs5+hfJjtQdptv33OSg/zr9B1ifjRrfvuz65Ts2piYt69Ymtzi4WpDhxaHl4ez+2fwHTXkB1Qvgp//xyvdB5B64FUehMVge3HgSnb03E3T9MZ67puKPZ3aAPobCPffQ1v4V9196Dzsv6UPIt3O4rFWsoa/N4kWmm3pPAL/efUnp4w5RHYgLieODMa6B8UPBUdTdtIkmmzbSeNNGmiZsxys8nI4NqqOKb3n5oWEvrhryGu+10S8kJDx7NX2aVFKaI6YNNB7g2t77Cej3HFi8IK4zNL6q4v0IIYQQ4nx3O/Cypml7NU3LAB4BrlRKxVewzafAE0BqBX2EEOKikLVkiWl76qefkbN6zVkejdPRxyZCURH5mzdz4tOql7Es8cnmT/h0y6e8tu41nvrbGIizqJMPUWmaRu7ataXLaV+7T6IrLy0/jY3HNzJv77zyO+WJ2e4DrgPWaS6lJ0Av9eGlnMl3PWf1ZNveRTBVnyMnNSHIZRuDWdeXPryvRiRXx8VwT1R1xsbU5JiXedXhNl+2of8P/Wn75clPgP53mQzhvRl7eWDpA6XLbfc4g/3xyfBAahq2AkXeCW+ePO788Twj9V+O7V9mWjsawMfN9ZG+GzQ67NKonum67t7xVpa0UiSFGdsdWVmmGcZlFW7dRt3QuqXlV+46YZzXq+zxlJu7FHJP8aZN7xbGlO8em4yxps7RnT3eV6NEjRHzUsldu5ZdXbvx4uoXS9f5e7kPjJd1b1oG8VW5UJV1hMFHjHG0nwb/5Pn2Z5EEucV5ocNXxiudj3V8zKVPyUQUK4+sdFkHMGSlAy+H/sV1dHU46fv8cdjKZPq+Wh9shS5Z3B13OHj/fRv/m2/84WXRoNMBG60POb+Axvxp55O3bCz9M5rd82qw97caZB/2R7NXnlHsG1ZEcZls7Dmp7HE8zdbDG1z6bW70Lf3jarG5roX3B1j4qZPrvm+9V99Rzp4HKSjUb43aEVGHwIlPUatNMz4a24G3RrcxbHPT5RNNx7WtVXceuvsL1o5Zy/LRy5l+pX6ltn/LaHZMuZJ3r3X+kPzhrq74+XijfHyw+Dgnv1NKsfeF/ix7uJdh3x9e387zshx9J7m2dbsPut0Lj+6HmxdQ+gIKIYQQ4oKjlAoFagOl92lrmrYHyARaudlmPJCradqsszJIIYQ4x45McL17tkTazJlncSTuHX/zTcNykb2IxQcXsy/DPNtz64mtrDi8gmM5x0ozgwEOZB4w9Bvz6xi3+6jM1gXfGJaTX33Nbd+1SWu5bv51TN0wlazCLC6ddSnX/3q9oU/NwJrcnWz6o8nAXZC1VrBx3pzRyx8k5fg22teJIyvRPBhZOgHlDr1sSp5SLCkuW/FXBZm9hn04bFWfBDDtAEwKJTHnaOV9i92Qks3e+VHsX1Sd2v8a87n7LrvbdBsvW8UlSB7+wfyCQloQTB1g5d47vUgsU6bakXacJQeXmN6FX2L/qNHkLPujtE9hputFghpp+rpuW833E1AAl+xwGI6jNI3CMuGJkDp6Vrl3oI2GQ42vY3QLY+R+2KxEw3Kr6q3oGdvT7XOIKFPvesqXxgD53ITvSx+XnPf911zrdl9Q4ctlbt79eAMb9x3k46PH+DHR/WSU55pMPCnOuSKT2j9jmo7hyvgr6TW7V2lbUk4S8aHxPLjUpOwFcOW/xk/q0dXhHF0NjYcfxeJdvG5Kdahbu7RPcK7GBDdfpAAPzQT9BiEbu6OhQfF3VUgeFFXw8fm1g6J6BnRtdZwaRy1kH/EjonF26fqNfs5a1MOysvkh2PxK7rJW+nWor3trTJztoO1ejU8ut5AZqCjKbImjsAavjmjFw99vomej6vRt5ryK3LGuMUs819ufq4a8RkhBDlk+/nzcwY/m7ZsyvJ6e9e3n5Yefl59hG18vKwNbx9CrcXW8rZYKA9ZKKepUC+S3+3rw7p+76N8ymitbRLvt76J6I+NyWG3wKr5k6hvs2l8IIYQQF5qSv9IyyrWnl1lXSilVG3gS8CjFSSl1O3qmOLVq1SIhIaGSLU6flJSUs3o8cebJOb24XEjnUxsyGL42D2ZnZWRU+Dw2pm/ko30f0SS4CffUv8cweWBV2Rw2rDYHtiV/YA0McZmQrmQcds3ONWuuKW3/sO2HVPNxRiIP5h7koc0PeXzcQXMH8V2n7yrtV/6cWh94zqXP9iZNoXNn7A8/iJfVGYi9c+2dFDgK2JyymY82fWS6/9aBrbn0M9ca3eVlF2abnpPyAXyA3nViXdrK2tV/AD4vP0L94uXZbuIEldmy+D0uWTmFE03GcryNecC5rIZz+lJZOlnNNOPy8fTm2Av1DO6wf/3pV93BbQsdJNSCZ663ollc33tdt59cPfevkpMYGavHFspmVf/4+UCebxaCdyXzPx4cfw8xj7UmFNi3sIbL+vc+tDNqohf9/nMfG3r4BwevDrewtpH+vCIywaf4uBZvB7W6pFOrS3pp/0bDj1KY5YVfeJHrZI7A9uUrUNWdJUJuqXkLyxLNy7i+EtqfW49/a7qu7R6NdY2cR9j+11+wYYPb5wGg2RXKqwrn4vA6QM+S7pJfwO5B8zz6Pj0X37sS5BbnXLuvjGUx3uj1BgDV/I0zyW5O2Ux8aDy5Nte6S/FJ7j+gxzaGEN2h/N9Sunf+ygIqniyyRAMPL2q+O9DC8hYWrJrGuP2FUBtCaruvB3ZFTq7bIDeALacBhaldeXH0F6VteYnXYctqxYan+xEW4MPIDnEu28WE+fPW6DbM23iEY1n5bDmsXz3M9A0kItCHfiP7efaEgGC/8pW23GsaHcIHY9p73N/g4T3wy/0QVBOu8qw2uRBCCCEuGCWVLkPLtYehZ3OX9wkwRdM0j2Yi0zTtY+BjgA4dOmhNmjQ5yWFWXUJCAmfzeOLMk3N6cbmQzmdySAgn3KzzTkykQQXPY+TnIwE4fuI4Y9uNpUtMl5Maw31/3sefh/7k5oV2l2SyEnWKivBv2ZLJKycb2u/47w6aRjRl5oCZeFm8eHPRm6bbV8STc1X2nDoKCjAvSgqsWsVr31xDu2HjubbJtaTmp1LgcJZLtWvmEdInej9BEhUHuR3A0PqDzce7utKn4CotjeC37i69t8lxktcogte/jMMOIetnEt5xDJZ6lbwPirIorLgHlnJvg6JjxszykskZmxyGyzZpLG7jHPw1mVksiazL5f8mGbap3SuFg0srnXuaJkXOxMhcX4WeiAjzfYPoss1BiwOVB2xD9//G0TXlf/0wappY4WoenuNg1EQLaBo3L3IGxB1FrkUyrK2uxn+7s/yNf2QBeSllIvS33Ua9P/7AJ7ZMxv868+O2ODCfBjEN2J2+22WdbxGEZmtkBOmvd+CMGVQ2H2ZhthW/sArKlSgLuCkTDNCg3aWVHEF3Lr53pVyJOKfWJq11aetXxzz4+viKx9l+Yruh7ZmUE3x9JInem9x/AJUCR/HPrZZlsrgBapvMTHyqVjXRv1z+G7IArD6V9IauefncmWYehAdwJI3Fnt2MrO0vkJd4Pdk7n8CWpf/UCwuoeP9D2tbi0xsvYe5d3age7PxC/eWe7p48lbMvMBJGfwUDXpPSJEIIIcRFRtO0dOAgUJrhoJSqh57Fvclkk37AC0qpFKVUCtANmKiUWm7SVwghLngF+/ZhO+oMBPq3NyYPeUe7v1O2/NxVn2/9nMzCTAr27sWe5flselmFWfx56E/A9W7pskrqcq9d8xOBecZ+21O3c8OCGwB9QsTTInUf/PQ/WPupsy0nBX55kLQXxle4aecEjWmbp3HZd5e5lC81M7bZWML9wivtZwHGasabjfI2bGDvoMF86XeX6TZND1YckD2xLZisRP0O6+q2k3vt0vK92PFdDLvnRbGj/83kH638WvFhbz0HtuU+B7VSXMe4pbYx4p69xf0+Gycat388vAvvTk6i0RFjv8CalYXWXeWViRM3OAIP/OSg3wbj8YJquZZr0TRI3xvodr8z271t7G9xHyua/ZKdS3ZVcB5jL4Grjfur1TXNpduevn3J+PlnctasYXuTpsx+0YZ3ket+A2u157Wer7l8zgDu+9nBtHftfPy2HrTO+ce8vG9ZKVuCoZd5OVsAAiq/8HC+kiC3OGvMalXN2mEsr9itVjfDcvnC+aN+GWVYrl9YRKuCQjQf918wabsC2fFdDOnJrgFhLcv16pV34MnPFL24taLIS//y35gVRHzODOLzZxKfP5O3bcPcbndXegar97vOhLwupYiEyUOZftMlNKgRgi2rBZpdL91Rvv51RbysFpY/0puf7+7G3hf6ExPmWT0vIYQQQojT7GPgUaVUXaVUCPAysFDTtP0mfeOA1kCb4n/rgPeByiMUQghxgcmY9wt7r+pPxty5pW1eNaobO1UQeFty0DhhZeqqFRxu1Ym9/Qew85KOFB317Nbk/5L/A2DkXxUHWLMWLCBj/nxenZrH1PfthGUb/ybfdFy/drk6aTVD/nHw+Ld26h71rERCyXxcpWyF8E4b+O8rmP8gHP5Xb188GdZ9SvKsitOme26pWpmMmMAYACxBlZcLyb3lPhw5eu6spmnsv+ZaCnbuxPeZd5i4P522ux34FTiPX7eCu9BLJK6IoCDTSmYF57siBzcZM5a/uLuCu7htelZ7gt2X2S/aeOpbB29Os9N8v/GiiVaFrPJemzVa73HQZo8Db5tG2mrXFGmfYD0+FBjt/q73sv48qO+joMxN5qNWmCc7xpoElCtITAYg4ssFhuUa999v2m/5etdAeWh8uWoDo76EwGrwxLHSJu8A8wEceeRRDo67oXT569fs+BY63yPr9h+E3X9SP7QeA7a7r0IQlgvvNHvapb32jBkubX7ViiCklkt7qfhucN1s83WD3nO/3XlAgtzijMuz5dHy85a0+7IdLT9vaQh2B3obvyDe6PmGYfmDPh9UuO8WBfqVv/6VX6zi6J/Gq1F3pmWQccA12Dul8w3c1du87neJdwcaPzqf9bMw+ToLH/XXs499LH4Mef9vQ58kreIrwQGaxlvHjgPQLyeXzfsO4vvgdpRS9G5cgz8e7MneF/oz586urHm8D3Wqub8KacbP20qr2DAsJrWxhBBCCCHOkpeAecBa4DBgBa4HUEqNUUqVTmKiaVpi2X9AAZCpadoxk/0KIcQF7cjDrhNO+sTHG5ZzV6+mYK/5xIyHs42ZtZO/Ngapd/e+zKNxeGsaTQ5pjPy78mDskYcmAOBXBE99Yx4U77DTwXXLHLTZp/HyDM8yk8f9Ng6t7Ox4r9Y3dpjWG4AFO753uVvbnZgT5s+n3lGN3hsd+BRn0I5cbqf5PR+S9OyzOLKd82pNvtbCN5dauPYR1zuOd7TvgKOggMI9ewztbb8JYuJ3DsM8YDcuriTaWmzvr1EU+TZzuz7aZuMfk0Q5gFYJxnhF/DGNrcc3m+8oL13vM9MYGH/mG+M4a7l5/dx5YraDx2c7eHZeAccWpbisr9FGr1IWd2kqdS5LIayeeZENa/VIGPcz1e0OXjt23BDkTnMTElFWiO933NBmy6v4TvHMn+cZlsOvu44Gf7nWyD76u+td+H4RZRI6r34LQorvuPA2znkWd6m7QkRG7011fk58NSAzETbNou8/rqV7y6o51hjkrvHoowR27kTsB8a42vGNIRybu5nso76mk1Bqlz1L5q48co6ZVA6I1OdS06o8e+XZIUFuccbd+vuthuV2XzprcP+w64fSx+OajSPA23hlqkPNDm73+0BqGt6ALd/4Nv67qeK4y9RFru5Kz8DqY/zintpyMEuD27IvNIa/o1uYbvfCkDCWN1elM+nuioYF7RVb6zjHkZowwWW7VK3coLq4TgDR5+YVbN53kDeCW8HjR/VaK2VYLIr2dcKpEeLnsq0QQgghxPlO0zS7pmkTNE2L1DQtWNO0YZqmpRSv+1rTNLdpc5qm9dI0bcrZG60QQpxbgZ1daykfuP56HHnGcgwpeSm8uu5VGh7WGPOnnciMkw9AHdq9gFb7PAvElhXnGscE4JE5Vd/X9tTtzkn4HA4oyCTdYuHT0GD+8df/Fl70x2AerhGJ1e7Zc33rYzuvTbPx0Bw7DQ9rBOZp3DfXzksz7Nz5q4OvXrPTa5ODkSs0/A6fIG3mN4btd8QqfuxmwW41TxrbN2Qoe68eaLqu1X6Nfv+avw7rGrhPQotZaf7cmhYU8nPiUYI1jTfaOmMPoTkaQ/92PU5cClzz63Uk5ya77qwox22W86CsbO5KS2fT3oNEZJv3qUz9BPOpAL189YMqBQE1ConuaF7C1X48Ber1hEkZXPbQIfLLBLnDTeLiJXfm+1crwsvPGSwuH+SOnuI6UWkpiwVrUCDeNWrQaJ1riV2X7t7FL2BkY+hwk9t+/tU9K88Smgsjlpc7KT+OJyyrauVrAjro8bTgy3pTs0O6YV3q7HkcWlaNXEdTGDtXnx/ttiXw6AEylq7j8EMTObgkkrwUbwoyvNg+K5rkjcEQ15HUr78moWkztnfszHvzN7MjyfNySGeaBLnFGVdym1JZ9/55Ly0/b2loqxHgOsstwF2tXWtZtcwv4KYM/YN0ZFWYYd1nl1uYeKP5VbryPwDtBc6PwHVXPs3P9Xvo4+vTkK/638VVQ17jqiGv8V3DXgAsqNORV578CZTitnutvDrMwgujrS7BaM3ueknxf7fcAj7BxQPxhSuedx1gZAOYlAFjfwQfzybEFEIIIYQQQghx8fFtUN+lzZ6aSs5qY3mOCcsmEJin8fwXdgav1vjgg5Ovg/3cwV9wKPPA6+LWp35XcLSHGcH3/HmP/iBXz369pWYN3ooIZ3zNGiwIDODjYD3LtFG50tDvXe0+zFU7BTrt1Jj8lZ3JX9nptt04lrvmuw/I27ycz/32e1zjDYX7zDPsS9y20MH6q74ztO2OhrcHW0h2Mx/i0cwjpu1vHzuOX3EmreW/z0vbx/3h4Nq/3D+HwXMHGxsS18M7bUnb4xp7CIwq4Kndmdx8MAd74ekPHfpHupazNaulXeNhZxDf2+pNy5h2Ln3KCm/gzHa2+DnHXZRtPGdhIyqofOZwvoZWD0rW+AYXl7wd/5frynE/O/fl7fnFp1ErHHx3yFliyGGr+mfPr0Vz/YG9yCU5tMSxDdWhfm99frRa7cA/jKNPPFG6/uDSauz9rQZoihPbgznx2Wcce6443yAzgz4PjeKhJ6ezdIfJBZRzQILc4oxKy3ethQSw5NASl7YhDYaY9r2t1W2G5dfS7Mw8eoySj3hOkjGrOStAkRmoGPWYlT01jfuqWWY4tnwL9gLnF12mjx6Ynn7TJTzYrxFLH+7N/pcGAPBZ86u5ashrvN12FNFBejA+z0+xtrGFHH/nl01+0iCydz4BGL+AWtYKpVX9OBi/DIZNg0eKb2O6pEyWe79nTZ+/EEIIIYQQQoiLl6OgwKXNr1UrvKpVI2SQa3awVmQMEK4/tp52eyoPoGmOirOq92bsBSDfpEoBUFqe01PlE9sAmiS6jrNTdCfT7Y9kH4HCLDRgp69zUA/X0EuRXrLT4VKWJSMQls66lzET3I/Vy6EHvE9WepDCdhLRtEM3G+/4/veKIAp8FHffaeXlEa47PFSmJPvEjhOZ0GECP7WeQLTd+Zy7719PhF8EAD22uX8PWBwa2UXl0rE/0UvYHN/seit8zjFf9i2owd5fo0jdUbVSqScrumM6/tWNn4WIG280LDfdklnhPhyRxe857wAs0Y1K25M3B7v09apZ06XtZPhVK/48epvccV+vJ/iFlS42Hu5ZbXyA+hkO7EWKo2tC2fG9+0ln3VElF6t2LiSsrusFBICCXbuxZ2WR8tHH2LOzXWr3O8q90ZNffc1lH4+u+5rlu07hA3UaSZBbnFHpBeke9w3xMa8x4mXxYvMNm9l8w2am9VjKFenOS7Xlb6sJHVZmckelmHiTF0lhzqY3p9mZ8rmN2S/a2DU3yrBtwotXs/+lAfRubMwo/+2+HqWPJ1yuf0kuGeUM0r/X+j0237CZLy9bTlFa19KJIUu8MLQln95YXHalWn1oNQp8i/v0fw3GfA8jpkPn/5k+fyGEEEIIIYQQFy/bMdepBuK/+hKA6vfe67Lu8D33krdZr7GckqcHl6weVAXJ2PRvheuXJy4HIDzbNVj6zJjKA9zT+n1sWK6e7rqfYSk5XJ9hDFRO6zeN2Ve7TnR3xZwruOy3Mfwc5Bpk7fOfg4dNSqFMHPwmd7a+kxU3rKHA37xURlXlN3at+33do1Xfd+FuY83uNsOLM2aVYn1D1/BcpwSNRokaaBr1wupxQ/MbqNd6nKGPrwbfD/yed5OOu2xfVvXy1UAczkB5YM2KJ388sc01QHwq6v32K7S/0aXdy1ejzmUnCOl/FQDx332Hshrfd37Nm1e886YD9bvjnziKNcIZ27Hlup6vWm+84dJWFbGP3UjDoUn6jf23Lnbf8bY/Sx9avDViP3jfo/3vnhfFkVVhpO81qRRwZxUuOM0ag1eA+7s7dl7SkeNvvsnODpdwdNIkz/dbLDI/kz3HT7KezWkmQW5xRq05usajfve1u895lSltv37bTLlC9hm5RdzwsfH2j5RtxltHQq68ghfaG28BCitXp6lR6R0/xmxrb6v5x6FpdAhf3dKJl4e35NYe9QCI9I9k8w2b2TRuE1F+erC8TVwYPuX28cs93bmuU21qBLupoa0UNOwHLYaB9fT8ABZCCCGEEEIIcfbkFOUwK2EW65LWndT2jjxjkLHJ9m0oHz1z2auGeVnP/SNHYU9P57d3JtBul4PAiuOUACQkuN5RXVaRQ89IHbjGNTi9vbb+9/O8ju7LJjTbbKzNazYZZdQaf+7e7+z3UMs7UErRKFxPKGt6UOOK9Q78C/QxHLdl82T1agA0TNR4Z6qNd6baGL/APKrf/OeRkJ9BgHcATef8bNqnqpq/O43hDYe7tNd6951T2m//egNKs7DN1EqFKV/aaZIIwSWlT8uUktEcetjEb+UmoqaHV3isdz+0Y7VrenY8QIHzHGT7n1wZGuXra1gO7NHDTU+n+Fnf4lu3Llz5kvk++02m1htv0DRhO/4tXedJi3ryCZOtnCLGXl/62BJccXA+oF1b03b/tsb2+n8sMu0XfOOjeL2YpgfVY93PJ0dYHeN2PS/FK9qzzOzsw/6m7cfDKj5nUU9MNCy7qUDkImeZSckVDzx6ZZOT2u50kyC3OCMK7AV8t/M7pqyufG6gO1vfya0ti8t2HFoLb7fWb5uZHAaTQuEnPcP5po/+YIb3K4ZtU7YYs7/3BUax47Dx0zunW+Vv87iPP6pwffeGkYy+pDZ+3sarZarcN8VXtxpvs2pRy01xLSGEEEIIIYQQF4WPNn7ElNVTuPX3Wzmcfdh9x/wMKHItG5C1yBlE86lXz/B3psXHTe0QYGfnLnSYvprHvnfQbnfl5UoKT5jXeC7h72UeUDtaJn46s5f7v68P33cftVKc46iZbt7v4K9RbN53kM37DnJj7SsAsFqsvNrwYSZ/beeW3x2MNqktPWapnZrp7vfrG1ZcNuIzPRPYt15dt2P1VN25P+JTuzaTuk4ytDev1pzgvn1Per++jRvjbfVm8cjFDK/ZDYAHbzXPzr1jvt145/s9/5Kb4k3C7BgSZsWQ+L+7PTrmN6/Y+eJ/fSEryRDk1naYn/fK1Pl8hmHZq3p1an/2aYXb+LVqpT/w9odn0mHUl86V/uHQ/f4Kt7cGBYHF/D0YcfPNWEOdMRhrsHk97dAhQ0ofh/Tv77I+/puZhmWf2NgKx1Qpqxf4ljl/BZk0XPKn+/6VSCmO3Y+ZYGV1I/PodUR8cWa/3VbaFtmi4lIvp6JptHllhrNNgtzitNM0jUE/DuLZlZXXmH6r11vc1abMxJKfmvyQ+O8rcNhpmzKPLtZtpc07c2Jcug6evZP3luzGnu8sRfJrh8ovWQV261ZpH090rBvB3P91446e9Vn8UM/Tsk8hhBBCCCGEEOev6VunA2DX7EzfMt28U8Kv8FJteL4mZOiB8IK9+7BnZpLy3nul3Qr37i19nFuUy0+7f/JoDC0PVB7krv7uAp58fQBrk9aars83CcADJPRzponbrRX/ff3mNLvLXdlmtn9b/Pd8Xiqg1yWvc/OLpev7r3PdR7NDFe+zZod0/UHy1tK24Msvr3QsZpS/P43/XY9fE/MM1d3pu1FKUWtUA5d1wbF5RLVPp8lo9xcV6nz9FaCXZ72+7Z0AJFZXTLzBNdAdkwbB3s6s5KyNBzjwR3WXfp4YvFrDNqUpZOslcpKTfSvZwsi3aVMsgYGEDhmCf5s2hnVZv/9OYNeuNE3Y7jbL3ZAoqBQ0GwSTMtgxYhk8ut+jMTReb7xjInzcWBpv3EDUIw8b2i1B5pncYSOcWfmRdxsvEDTZvMmjMdT9ybPPZSn/MOfj/HQAmiZsp8nWLUT8vYY6fTyvab09Tn8Ni7wVrw+3UqOvybaLn4W9yyDPOTFd9RZnrqSILTX1jO27KqQ+gjjtVhxewZEc1y/znwb/xN6MvSw+uBirstK6Rmsuq32ZS7/jm4PJ2O9PbPdUfENtpO0JIH3oUB6IWgVl4to1s9I5TFjp8uZqdXEo/bpN7r57CW6q38ZS5K147EYrL81wX4OofJ2nU9EmLow2cWGV9hNCCCGEEEIIcWHLKTLWxywp+WGQnwHfXutcfrMZyWGTOfHhR1gCzSf1szvsdJqp3ykc8ICVGW+6/3u2IsmhUKNMPeYx0/YyKvJmNt+w2aVvxtH/sNqNweUmo4/QVIF/ahFvROgp3ZOuszBppvsi4LWPQ3Jo5YFue6HC+mk/aD6MEwdOvdxBQKTra1/zqSexZ2WSu3KV6Ta+4YUUpLlmy0eMuQ5LQIChLdzqR5pdD/jf0/J2AEIsf5EcWIOiHGd4LTQ+j+BYvZ8lOBhHlrGMS9TjE/WM5GLBgc4JEAvdROmC0UugOnJySLzLs/m8lJ8fWr5rHZvdyyKJDXyCQ9+6Jg5WJuKGcYQOHuxyVztAjYedQWa/ps2qtF/Ny02JVxMWf3+aJmwnb/MWio4cIfiy3ihvb9d+bjK5/du3L33sE18H32ZNKdi2naBevUz3A2AJCcGR6cyE9mvcyLSfW35l7vIvE3jecyKXK9/4k93VC2ky+ggJsyo/Jx/2N+Yrh4cVkmzW8YtBcOdKQ1O9eT+zd+CgqowcAN+GDSjYtdvt+v2jr6HBot+rvN/TTTK5xWmVlp/GXYvvMl1XL6wefev05cUeLzKl+xRGNhrp8sWYujOQlK3BFOV4sW9hDRJmx3BsfRgFO3Zx6K9qhokm05ONPwQf6VH2i95KVsJzFKZ2pSClJ99NqHiCDSGEEEIIIYQQwlMztsyg5ect6Tyzs6F9d7pJIOi7mwyLhVlWTnyol8x05BiD5N4xepDrz0POcga5fooHbju5xKyyAe6y7A7XoPl3yasIK5PsafV31vJtn19Q2r6tjoVRj1l5fJyVF0e6hpVe+9TOh+9VHpQvzCqO6G79AcvaU6tvXbN9umm7V/Xq1Jk+nabXHKHpNcZkPGV1UO+KFKq3ci3j4FPfNUP76/176JOTy8CsHMZl5ZVmrNfufcLQLyjGGVjWilwD7+XLnJTW2waSw0yfBscmTQYgY9488w4m6v0017RdS/fi0MyDput2dqo4yOpVrZohjtNg6RKskZGEDBhA2PBhpe3etVz3E3HjjZUPugr8W7Yg5IrL3QamrSYXkJombDeMX1ks1PniC2p/9im13n7L7bFqPDyh9HHk/zy7yGBQtlxJ8vbSh33f+ItQ9O8ApSovKTKy/7OMjJtWulzbGoilovTl1DKTncZ1xrdhQxos+bPKzyHmlVcqXB906aVV2t+ZIkFucdoU2Yu4+0/zWlCGkiTu5Gdw7N+Ka1jv+bUGJ7YHoTkgZ1tSafvWiHjXzpo3BccGUd9rND5ePtR603zm3PJXZ4UQQgghhBBCCHfybfm8vv5103XxIfGujUc3GBYP/VXN7b5rTHwMgOxCY2mBw5GKbA+TXUNq5xJaN5favc1LILTf5SDfXiYQa7fjyM0l217Ay9OdwWnvWnGlj1sUFOLnKJN1phS7ayn+a2AeVgooNC5Hd3UtZ6Aszmzv5I0V1/QNzXGfGV73ymTCG+YaG7OOOR/vcV4waDg4qfTYsd31jNqIxtn4BDuD0b5NmxI68Grj/jKPEGez81ZyCi+knEDt/VOfRwzwCbIT0zkNL3878X2Po0peEos3yqR+dPkJEQO8A0onthzZeizJz9xCoY9xu4y5cwFIKg52V6TaHeNptG4t3rVrV9q3PHthxTOYWsPCDMveNWvSaMVyar3+GsrLGW1VStFg8R+GvsF9+1R5PKekXFKlJcT8PWYNCiKwa1csvu5Lt4QNHUrkPXdT7dZbiLjpJrf93Mo66nxs01/j41n6haOrrGtKV0U2d19SJDg2jyIfL0J8qrN89HI+6vcRv+ze7tIvrmeZiy7/vOt8HKB/73hHRxN5d9WC3L7lyva81u4aZjS9qnS5+gMPVGl/Z4oEucVpkZ6fTruv2rHpuGv9oltb3srtxbfyVMTxXJ1K+xRle5G8MYSE2cargl1HXunSNyrElyub1+SrWzoCEHLVVdR8djJBffpQ6+238Y6LI/iKK2jw5+JKjyuEEEIIIYQQQgBsTtFLfVjtGtXTjcHXzEKTTEx7+Wxe9wFbn1q1APh0i+sEfjc/4MUbQyoP44TWzSOmUzqBLeqxZqhrNuuj3ztIT05ke5OmbG/SlIRWrdnZpTOzX7ITUqYst1dsfOljC7DmQCK3prumhsf8OrfSMYV9dsylzV5oQdNg7wI39aXL1Pae9o55ZnjTP77C79LhriumdtH/zzgMX40obfbyd9Bk5tM0HJJEUHQB3Pw7FivUu+o4jYYdpdGa1dT9YY4hYAvAwieMy3uXGhZD4/NoOPgY/mVLpvR/BczKaJhkGE/qOokV16zg0Y6P0vPaCbTetNWlT+6/ld+hHhDtoPrdd2MNCjItKVKRV4dbONix4sC4d82aFa4vyyvGGLdRFQSRz4Sg3r0Ny7VerTgbuSLKy4vq//sfNSZMwBpkXmKoQs2dWe7k6Befvl+fCEAIzgs0SunZ5uXFX36c2O5ptLPsIrIgkTCfELrGdKXkDNe9MhksGuGNsvX3dYlDq52PAyLKHKfy90bThO00Wr2KJtu3oZQi5tVX0SwW/qnZnMVx7ZnVuA8jrn4OryUrT+41OQMkyC1Oix6zepi2r79+Pfe1uw+rpZJbq1J2Y8s/+bdj9THX8seDztsjBraOYfXjfflwbHuqBTm/SMNHjSLu/fcIueJyGiz6ndi333K5EimEEEIIIYQQ4v8BWwHs/1v/vwqOZB+hWobGN6/YeX+qndkv2krXla/RDUBBJru8vVkY4E+KxYJ/NZO63SWKg08HMg+Yrt4fVXlwyupTnHFduzNftQ3hqetd/x7P7DPEuWC3oxW4jsmrRrRxaECjQtd+ITExBNUyn7QSIH+Cnvnq17y5oT1pfSgJs2IoSDcvN+FbwctUKrY9DPsYnjKWDCH3hB4kf7MZaMYAuWp3LdYpJ2BSBtRsobdZwOqjYQ0JcQ0A2otg6w+Vj6XdOONy+5uIGDfW0BT15JOm2d0Aob4V39l+4LoxFa5vPPIIdV5/whCgr/PNTLxDPYu1rG/sxbBbXi7NAA/s6VqCwl0NeTNKKUIGDADAKzra7SSeZ4pPXBxeNWoAYI2IILBbt7N6fONgylQQWKYH2wts+vvSgvMOia9tfdA0jbhPPsG7dm3CRo6gyegj+EfoH4ZvfJ5n9KrBaJ9fbbh45hdmo+moo9RsV0G5k2Dj57nOzJmVDtsaGlr6eQgdeDXH5yzmuc43lX5PfXpXbxpGh1W6n7NFgtzilLmbmRnAx+o6gYMLhx3ea0++mx9snvAKC6NBjWC2Tr6C7+7owluj25z0voQQQgghhBBC/D8wcxTM6A8zR1dps2eXPsHUD4yB056b9ECV2d/HX4cEMSw2mglR1eldJ5ZCH/eZ3F5RURUeO9ODapt+xQExanfh1lbj2RFXtYzeEhZ/P8C4bajDdcJJdWg1UW3dB9fa3KJPSFjnG2NQrTCz4hhAsPu4OQCTrysT0rKaFCb+cbz7jUsS8bz8MTxHk1rlLDcvTePi6recjwe9B0oRMWYMwVdcQVCvXjRY8icR11ccqC7Lv0P7yjuVYbECbY1B9YC2bWkw6yNSHqxR4baJ1eDHQT9SO6Q2DX5fSNOE7cRNnerST/n7V2lM0c89S+z771H3u9lua2eXlV9kJ/6x+cQ/Np8FW45W2r+sDYfSiX9sPuM+W4PDoX/G6i9cQOz771Fv3s+u2flnU3KC87FmB1shNYL1+kMRyjkx6T6tJpsSMwjq3o0Gvy8kZfyE8lVXAFAH/oZZY11XVMRmLEUT0K4tdX/8gZrPPO3xLlYfSC993L9lTTrXc1966VyQILc4ZTcvvNm0/ffhJjOrltxuVOa2Iw7qsxxXVoOrIspHD6YH+npxSXwEVsvJ/RAXQgghhBBCCHGesRVW3udk9llScmLvEtj3l8ebXrbRNUj9v/nO4G+B3ZkZnpCawEvV9DIBvoUa/f51cOKI+0ChV0SE23UABR7khpUGxXxDGNZQL5PwXfeq/43sXbs23LwAmg+F0V9Bk6sJtZsEgTd8jU+QHb8I8/NUkglq8fEpnVjTE6HFSfFK0ygqk4z++lAL/7vTyhXDJhg3KJ8JvWlW5QexWMCnTHbysxFQVC66vvRFzwZsserZ4ZMyoJ0egLSGhRH79lvEfTgV7+joSnZgFP/VV1Xqz/2bXepQ6zvqTpdbKy7T2nbaN9QLq2doUxYL9f9YZGyrYgkUS0AAwX364BUZ6VH/Jk8tKH18x1eVl2cpa8j7fwPw187j3PPNf/rx/f3141c7x8HYtuUubix9ganL9ElqG6tDpc3pBDHhu410e+lP1h9I5aYZa/nQVq4+fImdvxmXr63k/R7X0aXJr2lTwq+9lgbLlhLUs2dpe+0Z00138cFS50SWfyYkV3y8c0CC3OKMiQ4q8wWemwqTQvWJGUr+//ttfV32MTSHXm+7hHdsLI3/+5dq429nUo+beGPwaN5uNwIzDZd7/suIEEIIIYQQQogLhKbpfz9OqQ6Lnz29+y4ol3n8+UDISvJo084JrtnMyWXiq8+veh4Ah+Zg5LyRpe1PfWPntoUOArKrFooJ9w0vfWy3ug8yWiMiaHrNEWeDXwjeVj0qvq121YPcoYOHQO3OMHIGNB0Io7+imt343FvnF5SW8jBMeFcs+oUXDMs1HnnE4+NP2KhHuQPywbtMbL3TtfdzZatxjG1WLpM10INAaguTuEK5ST55vkzd6TKTVp7PYh4aC2Hu62l7WcyzmN8YYmHURC8im7UxXe8TG0voiOHg5UX1++87HUN1a3Oia713T5VkbpeYv7lqWeBnXHC5izsr3uRQqn4xpZvVWX89TQtiV3I2h9PzGD51JSnZBWxx1PXsGI2vhLjO7tfX0cu1ZOUX8e7iXXyz5iBacQKqd1QUcR99SP0Fv9FwxXICO1ewn2L5Ra7fg+eaBLnFKWtXo13lnV4x+VAuehqH3cHvi38nfa/xnqvq992Lxd+fhZ2HsrpacxapS1hQuzNjrnjK0C9s5Ai8qruZpEIIIYQQQgghxIVrzcfOx56WjPCUWUD79cbGsgJuNDvk2rYrxhlE/nH3jwCk5TqDvr6FGo2OuGxmakPyBsPyT0N+YmXfz/gpUd/Bpnj9WInVYGNbZ1gn9tXnjDsq0ssTjMjMYmttxfoGnge6Yz+c6jqZnFLUKJfJPTzLGSD28tVoPMIYXCxfh9uvqed1matt8KPeUY2AMiXTvaKjua3VbQyKHuQauL283PMvb8AbMMJ1Qk9TeWmQfRy+HOrxeM+2qCefpPGG/2i8cQOhtz1eaf/w6641LD8+zsqqppWHBWOmTKHx+nVE3nHHSY/VE6v2ul4k0TT3pX3K9qn3+K9nYkinj0k5nYZKn3gyT3OW+d2hxRn6dKwbwUbNmGFvqtOd+v/Dp5HgiDPtsiPNjqZpfLHyAK8v2snEHza7ZGP7xMe7zbovfy5a1qq4hvy5IEFucUocmoN/k523kNQMrEl0YDTv93nfo+1/+/oNLk/7hqR1YYZ275gY8grtPPWTcUbhrx69mrpzfyTixhuJefUVaj7tee0gIYQQQgghhBAXkD+fNy4X5hoWc4tyGfrTUBbsX0CV/f6kefsHndxvs+EbmGFeOqBaljEA9N5/73EobVfpcu3j5ruMap9e+rj+Qv15vLn+TUOfQO9AgjQL9Yr0CS7fHGLh3astPHetlb5NjhD7yDXU+fIL/P+60bjzOl0BeLLbc7x37Dh1u7kGEd0pW7qgLEtwDB8m6YGxnrl5DM42TrRp8dII6q6/hr5Nm+LboL5hvXdsrMdjAHj6hyJaeceXLrsE3stq3N/9uj7PwCW3eH7gvHSYaxLU9QmCp1OhWkNj+1Wver7v0yDossuIuH4MFj8/LL6+Hm1T47HH0Lz0ui/HwmB3Lc8venh6jFPx/K/bXdre+mOXSU+jP7aff2UzXITFuzS94f0BvhTir5xlfhI1YxJnVr6NQ1rFdfoBXlmRSvxj8znkiOTKwpeYUORaj/6Kd1fz+I+beXXhjtK2l36r/KJeidu/XG9YfvTKszuRqCckyC1OyZKDSwzLb/Z6k99H/M6lsWVm4T260e32A/aaX2n1jomh6dOuv6g0igrCr0kToh57lNCBAz2auEAIIYQQQgghxAUoprVx+cA/aOumM2nZI7T8vCWdZnZid/puHl72MBuPu/+709S+Ze7XFWQZlx122DhLD3ruX266SZNEDHNPfbTpI/7cPbd0OTLTPCM1oHohTT+8kaYJ2/GpUweAQfUHGfr4pB2ETy4D4M+DieT4K5a3tPB0bgqRmoPgY58ScMklqIJy5R589DumrW2vp2dePt0K8nlnYOVhoCabN7mvvTzsY7rlF7F530HeO3bcNajU5xlqffAxcZ9+Qp0Z01FWq2F1+eXyrD7GEggBmRbGv+OsA1x0rIKAZkX1ons86H6dWYmH4wmw+w/X9oFv67W3b/sThn8KzYZAx/HQwXyuMk98teoAN05fQ0p2QeWdi9V6/bUqH8fi40ODv/5i8nUW7r/deR6iA6tWK/xM8TKZW+3txZUHuW/7Yp1p+6HUXNP2c8Li+rlradlPKM6LRMe1UMpP9Ho4TX8OwwomVbj7HPRJLHu8soTWceHMt5tdrFN8s8Z4G0pShn63R/lyL2k5hXyz5iB7j+t3amw8lM6ibccMfWpHeDAL7lkmQW5xSjanbDYsW5TJW+qjS13byjC7++Tdza4zM393Rxe8rPKWFUIIIYQQQoj/F8pPBvn1cFb/8Shz9v/m0vX6X6+v2r61CurJvhgL+4qD2WkH9MkIf7wdgAyTYFWJauX+jP32gDNx64G55sfzCbLBoVWlyz1n9WTSykmly8MbDof32pcuV7c72LzvIJv3HaRvbvEEiSXB7WoNzAdWJvi7sSlc86iVB26z8mVv1+fS4K3bKk4mq9sDHtgCAW4m8guPx+LjQ1C3blhDzcsZBHbr5nb3DQZVXBfdkekaK6hUl7srXj9mtmtbjpvU+9hL9P/9QqDlCBj1OfR/xbQchSdW7jnBk3O3sHTHcTpMcQ2q1/t1vktb+PXXY/F3P3mpOwU2O1k+gXwwYY2htvsNzW+o8r5ON5tDw+ZwDQ4F+FR8UQSgTjXzYOuLv7lmhp9TIz93aaqu0ksfp2tBLusz8/W7N/7VGlW462zN+X4oKLKTVxz0rkxWgY0nftxM68m/M3neVgpsejmiQe+vYOIPm7nm41Ws3Z/K4OJJPcvy8zn/4nPn34jEBSGrMIvZO2ZzKMt4FahuaLna2zmV3w5lzze+Da8e9DLv/Lnbpd8l8RXPMi2EEEIIIYQQ4uJ2f5T5nEzls58rVFyrukKfX63XZH67VWnTrOAgxkW7Lx0weJUxkJ1H5fWEb4+twZKjK2HuXfy8+ydS81MN64O3/lz5WAEWTIQaTZ3LTcqVVamlB8rrFhXhsCgORyq21jFmjV7zqBXv2DqVHyskBtrfaL6uYb9KN6/5lLFUTPiYa2k07ChNRh/BzfyInqtuUkKh56MVb+MXCpMyoKVzklB+vse8b7gHr08VXDttlWF5/YE0w7JvvXo03vCfoS2wW1eP9p2clU9WfhEAiWm5NH5yAe2n/EG7Z5ca+jUKrziAejZM/tP84oa3B4mOV7aoadr+62bPJpI9a5oPwa4ZP3PzfZ8ofZyGa5C7rA3dPzRtz9ACWOjoULqckJRl2s+dr1cfJKvAxvS/99P4yQUcPJFbOilmclYBIz9cabqdv3flFyDONglyiyorshfR9ZuuPLfqOX4/8Lthnb9XuauJXw6udH+2AuPb0G45/z4oQgghhBBCCCHOvRw3mdQOzUH+zp0UJh6ufCeJa0sfasAWHx8OeZlEV7d8X/rwbx8/5uSGk+RwH4W98l+N+kcqD2yXtdrfj3ujqpOxaSZP/O1aJ7xalof1hld9ANvnOZfL158e+hEAA8vU0N5XJl6/roHCYVEQYD7pnIseE1zbRn0BvsGVbuoTH0/ELXp5j6A+fajxyKNYW1xZYbURj7W+1rXNL8Szba0V1J2O66TX4j6N8ovsLm3lg94AFj8/an/xOT716hE6bBiZbTox7a+95BW6bl/in90pdH3xTzq9sJjD6Xlc/e4Kw/rcA7cSHxLPyEYj6RDVwc1edL9sOsK4z9bw6+ajFfY7WTa7g7WJ5qVFMvKKsNnd33VxPKuAj5btdbu+0FbBHRtnWVJGPpNt49yuz9AqqDcPxHUawhvVJru0jyp8mmxOX+mQ6z9d7VG/8zHIfarXyMT/Q19v/9q0/ZrG1xgbspIgabNrRy9/sOWVLu5bUKPSY740rGWVxiiEEEIIIYQQ4txIfuNNclevJqhvH3zr1yfo0ktRZkHkiuRXrSxF0oKf2TdnLihFvXk/49vATekOgAWPlT78ISiQSdX10hvvJyWTa7HQPTePIE0z9Mv5NYLJKXZOVBLDffFzO6Mm6s+1VopGdKrG0YjKo7c7fHxM2wPM6ntavKB2F7f1wQHwCzMuRzaESRkMdxTx7qxeZBZmolkUt9xnpUmixqb44jHW8SxLuKTet0GzypPcSkQ9/DBRDz/sbNjpLEET3iibtJ3mWa0lwfGyiuwO/kxIJr5aII3T9ns8BheF7jNgbTcuwKuCUjVV4XBo/L0nhS9XHnAdgs3Bmn2pdKxrvJM9sGNHYub+zMiP/mHLy/rcaM//up3fH7iURlGub8obZ6zVS4AU2nlq7hbSc4sM6+25DZg39L5Kx5pXaOfumXom+V87nSVc9rzQH6tJDe2Tsf9ExbWzO72wmPVPmd8hcMnzJnXTy2j05G/sf2mA6bp3F+9i0fZjtKwVSm6hnSlDWhDoe+bCpO/+uYvhVteyHyX6Wf+FIrerCfb3ZdT1t7Pzw+9oVLAFgB2OWHZotU37P1B4J2/6TAVgg6Oex+M86GEt8/OxnPD5N6JiSimrUupVpdRxpVSWUmqOUsrtJUWl1ASl1J7ivruUUnedzfH+f2J1k2l9efzlxoZfHnDtNGEXPFH1q3/XdDT/0AohhBBCCCGEOH/kbdzIiY8/Jm/jRo6//gaJd/2PI488UvUdZVWt1MAjc4ozNjWNvVcP5M/9f/Ddzu8osJebzK8gG47pAaJUi6U0wA3wv5o1eLhGJE8Wt+Wd8CZ1RyBL84OIS9H7VCsXBw3oZDbBG9RI03hzmp1H5jh4c5p5xu3nfZwhmVvclEFpXWAyGeHVb8HwT0z7l/IPM232tnjzRq83SpezAhRrG1ko8FG0iWwJ1grqcZd3o2u96JPWZkzpw6i2mYSPGWPaLXL8eJe24VP/YfyX67nirb9IC2tmXHn5FM/H0OlOt6veX7LH7bqqGvnRSsZ+uobfy03kV2LUR67lITLyiuj35jK2HDZe/Bk+9R/TfZTNYN6XkmPaZ8bf+/hl0xE0TSM5M5+Plu1h2xF9/5qmUWhzsOVIhum2d3y13rS9quasT6TvG8ZJYO/r09CwfCKn8LQcq6y9x7N5fdFONiVm8PXqg/z432GaP7OQ66at4pYZaymqIHv8ZC3enswM2xUV9rmzV33Tdn9vKz5eFmLDA2h041QcXv7ka978r+het/v60dGDZ4vG8oO9O/cWuSm/c5E5b4PcwGPAYKATEFvc9qVZR6XUIGAyMEbTtGBgHPCqUqryYlDCI3m2PIrsRRTZi3hl7Sumfar5lZt4YsevxuUnkyGoBijFn+3eBeDwP2GGLutb9zpNIxZCCCGEEEIIcbZlLV3q0pb5q+tEkZUqcM3kzq5CPYvoK+/h9T8n8+6/7zob8zPgxVr6mCyKnnViTbddHBiALd/CgSXVOPZfKFFz3Ze7sJtMhFgtQ+O9D92XkvjiMgtf97Lwe7vKn0+oWbCt7fXuJ34s4R/udlWAl3lpgw8vn1bpeAziu8PwT6HVNXDfxqptCxxOz+Ol3xJYkpAMlzlLtahOt7vU7S5hDXE9F5sSnYHYu7c1Na6s29PzAdXu7HbVm3/s5N+DaW7Xe8ru0FzqbrvrV2R38MnyvXz81x46v7CYxLQ8l35ZxRMTVsRdkHvSvG3cPfM/5m8+SscXFvPibwn0f2c5aTmFDHhnBZc8/wevLthhuu0iNwH6qnroO9f3zW2XepZ17DCZqPK3+3q4tJmVLNl+1Dxr/589J1ickMy93/xnuv5U1I0M5GeH+0lXaX8j4908d/+yE3BGt0I9uJ32BR+yWzP/Divxmf0qHiy6i4Oa+7kETsZ1nc7PRNTzOch9O/Cypml7NU3LAB4BrlRKxZv0bQBs1DRtFYCmaSuBTUDrszXYi9nutN10/Loj7b5qx9Cfh7rtFx8aX/GOvJz1rW7+pxqvFY0k86Dxh+ueUbefylCFEEIIIYQQQlSkMAeObgKzMhinqOhYMiemmk+OphVWMRvzxG6XpvlB5jVrfQvNn8t1yxx8vu1zsoqKA1oznJMxXh9tPlldieQ9gWi2ykMmvnXjXdrcZW6X+KWThZ+6WCjyqjzIHeIoE6DzC4MHE0CpyjOufUPdrvIymd3xrd5vEejtviZwWk4hT/+0hTcX7cReNrjYcgTa0A95598invhxMyeyTTLP3ej20p98uGwPN81Yyz/JPnpm+JUvQe8nTPvXX1D5xZKDGUUw7BN9MslLboXoVpVuU0opePyIS/NthQ8CMOwD86zpqiiZCLIyC7Yk8dOGI0yZv50Xfk0gz6R+d4lDHpaXcKekHEmJIR/8zbajmWTkFbFm/+mtQ+6JIF8vvrylY+ly+dItJfamZLu0NY12vQiSnOU60eyU+dsqHMNvW07/pJVta4cB8KntKvMOA94gLMCHhjVcS/WUr9+uAsLJwd+l35k0vF0s393RhaeubsYjVzQ+q8f21HlZk1spFQrUBkrvf9A0bY9SKhNoBewvt8m3wM1KqW7ASqAb0AhY4Gb/t6MH0alVqxYJCQmn+ym4lZKSclaPdzo8tsVZh+xApmvNqBI7d+wsfWx3aDQvs+5I52fJLPe837MPZQDGekReuP5A/HlsvfP6NbsQz6lwT87nxUfO6cVFzufFR86pEEKcRal74Z22+uNWo2HYx6d198emuC8N4cjNxVq27rTdBr89rJcl6f8qhDozEvN37CT5oWfxDQyhRptMlNJL1U6JNA92BbrGsADosUWjyGrn+NwHKHx7Jj5Jm0rX7fOpOEicsbnyCRQjB7TGb8DVLpnqfhXEMbUGdQAPJscs5l9yMaJ2V7hhHljLhHF6PwlL3LzmFdSPjg6MNixvGrcJVUmW/Gu/7+Dr1QcBqBXmz6hL4krX/bYliTcW6fEAh6bx4rBWFNjs/LP7BG1rhxEW4FpvfHOisQzGdZ+sZsLljbj7su6mx4+852584uNd2rVyF2sOpeZBq5HQcgQnNZOlj2ugf4WjRaWbrT+QyoItSTzYr7Ex67acPcfNs6rL+/yf/R4HmHu8sqS07nShzcHn/+z3aDt3DlRSI7uE3aGZ1uXeezybT1bs4/4+DakR4ud2e7OJN0sE+zk/n2v2mb8OQ8tddPivuG73Zzd24OYZ60rby0/Quf1oJkcz3HxplKFpWqWfi6oouVDxia0/t3iZXLApLg2cazKhqFlbZeIi/PXPA9C9QSQrdqdUeR9ldawbziXxEVwSb/49fD44L4PcQMmll/LFf9LLrCsrGfgeWIIzO/1+TdO2mO1c07SPgY8BOnTooDVp0uRUx+uxhIQEzubxToc9qyuvPdWqeisaN9av5Mxcc5B3flnL6jLf6zF9bifGu+xVpj34Fxm/VEKHDuWhQZcwba3x2kSr5uVuNzrPXIjnVLgn5/PiI+f04iLn8+Ij51QIIc6ikgA3wKZZpz3InbVokdt1jtxcrGFhzoatP8C6z/THh9bAI86/O49MfIyCRI0cggiKziewZiFZJkHbaX0/Zk/mXr6e/6LpMf2KoP86DTjBxvsf5ZLipN5VfvpdxkrT0EyCWIF5nmW5V2+Zjda7N5F33UnKB1M92qbRjK8omP4y1sAdaPYAvEO2Vti/dHQ3/eoatO35MHR/4P/Yu+/4pqr3D+CfkzTp3ou2jAIFWjaypyDIRhyIMhRQQVAURBRF+YobnD8U3KIoqPjVr1tQUFGUvUEoe+8CpXskOb8/0ia5yU2azrTp5/169cW9555787ShcO6Tc58DPFtC6RI7YX5heKbbM1h1fBXuanmXW4m84gQ3ALzz52FFkvvDv49atj/fdBLPDm+J+5dtw+p9FwAAR14YDE1RMvRMei7GfrgRR1SSva/8egBTr7PWY4577lmcfXIOtFFRiBw/XjWubGfJv4pMTsKaqJ37/b+Y0D0RDSKtyfAjF7Nwy9vmOtrvrz3qdKFDAHjgs21uvWZZZ1A3m7OiMh7SUHU5uwDRwb6KttwCI6571Vxj+7ONJ1wuUJmR6/hpUPGsbT+d8vfdZJKWv0PF7Eu1hAeaP0y5LjkWQlgfVhn57nps/491DblBC1ws2Gpj56mraFsvzK2+7riYaZ7UeRaR+Kb3L7hpjU197pQbLJsP92+KGV+WXP7nqWHN8fQPzmekr5nZB7e+sw5CCLxyaxt0efE3xfEtT/bDlKVbsfmYe2V4bmyX4FY/T6qu5UqKi+PYP18TBkBtieU5AEYDaAtAB3OZkoeEEHdXUny1hv2nora0wpzFbhHZAm/0+hCDFqxFj/l/4Ilv9iDKYFOfKTAa0Ckfo9BpBepnKms4xT33LPx0zj/xJCIiIiIiogpU4N6s0opgyrGbHfq/idbtnDQgx5zUKzh2DPl791kOZZz0R44Q+N6uVEnf7Bx08QlFw1M7MWlFybMcg/busGxPjItFz90mLJ9nxJcvGuCXr7zvnb285Ov5dbsKXDmOfIMJ318zDG+3Gl7iOQAgIiJRcKk3ck/ci7wzt6v2uTkzC11yc7HraFFiuf0E50lbrQ8w5FVlWz3ntaWL3dTkJrzV7y10qNPBrbhtHbGp8ZyVb3DIGyQ9scKS4AaAtTYzSJ/9ca9qgltN2IgRaLzqVySt+hWaQPVSKufcmJFbkT5edwzXvrzGUud5y7HLlqSuO844iXfbnPItKZdvMCKv0FhlCW4A6Pj8asssaYPRhKUbjmOqXRL/wc+3w2SSOJPuWE/c9u9IsTdHmT+I09j9fc+wK/PiKldlPm7dvpJTiNRzaqlE1/aX4RxXftx11rJ9VRcL1LNZtHaQde274W0T8PD1TRXnjuvawOF6d3ZNxPR+TdC/eSx2ze2PO7pY+9xyTV1oNQL/u687vp7SDXVClTPqXxrRGlFBvvjv5G44/MJgPOJG+RFfn+qfr6uWM7mllOlCiBMArgGwAwCEEI1gnsW9S+WU9gC+kVIWf4TxrxDiWwBDAXxY6QF7sUKT8+es6gTWwcpbzLOuEx9TrqrcXHPMumO34EWBwYRCo0RwoXWQo2tQH0Jb/X9hiIiIiIiIaqzkoUDqj9b9j4cAk9aU+7LZ+QbsPJkO50sdAoaLF+GblOS8w45lkF2n4vBAZb3aK8cDMHhkOAxQLh632c8XeLsr2lzQ48TpKLfiNORp4ONnvs4DP1qv98lrRox83JoeCS2hWkNYchbi6mcDV7PR+ulfzQnPRj0wZfd3Ls+Le+EFZNnOPpU65BybjIBEax3z5y5ewvAsuyRwh7tcB9TxHuCnh6370U2d960gWfkGvPLLfixZf6zExOqiPw7h2qbRAEpf61hfr57L4zkFytm8AS5KhdjafuIK6oYHOMxEdte3209jZMd6eEBlgcKtx6+gfQPH34YLGeoJ7gndExERqMei0dfgfjdmen89pSvWHbqEV1dZS8Y2e3IlNj/RrxTfQcUY8c46/PhADyQ9oV4v/afdZ/HTbmty13aWu9Zu2u3Suzsjtqi8SaMo5YcaO06mo3ezGMv+19vcL/kDmN+T73ecUZRBKUlugRGFRhN09oFWgK0n0jH+pneB7UuBxn2AEGsJIa1G4IG+TfBA3yZ4/68jyDcYcWe3RIdraDUC0/tZf9efGd4C7eqH4VJWAcZ0cVwYcvMT/fDWmkPo0CACQ1orX+/+Pkm45Zq6uPmtf5ASF4I7uyVi3OJNlj5L7urkcL3qqLrO5AbM5URmCSEaCiFCAMwH8IuU8phK338A3CiEaAIAQogUADcCcO85EHLqdJbzfziahDdxeuxlnc1jb2kHFMeK/xMKKrB+kuffwlrB+6PxHS3bf8/q43asRERERERE5IKPXULvjGOCrrSy8g1o8dQvGP3BRhyKtM4k9Jn/pKLf2Tn/cX2hv/8PWRvWOzQLg3BIcAPAjMvp5utuDHM71oPf1sHV4/7oedn17N+tSc5LXSQtmoq4ttYZnlpDUUZcCGTqnC8EF//qKwi9YRi2nVSWBjDmJir2A02O3ysC3UviW6gsLFkehUbHmFo+9Qs+XldyghsAujd2L/6IQMfa3SWxr7ecU2DE76nncTXH+YS9+5dtw01vrUPH51fjyy0nHY4bNdZE6J9G9YUrH/3aPP9SrbbzLW+vwz1LNivaTCaJ11cfVLR1aRSBl0a0tsyibVu0MKErfZpFo32DCPRv4bhwasfnV5d4vv0M4fL690wGfk91nJHtjO37ctWmXEn3BoHo0cT698THLrH8w86ziv2Z/1WW82holxTv2khZwueJb/bgrTWHMX+l++vAzP1hLwYvWKtcaLWC3Ne7MRDREOg7B0hUr0MPABN7NcLU65ogxI3kvBACN19TFxN7NUKA3vHfgOhgXzw1rIUiwW2rTqgf1j3eFx+O74jujSOREGb+92x423jLh1TVXXVOcs8D8AOAzTCvyqAFMBYAhBBjhBC2y6i+DOAbAKuK2n8B8G3RNagcbvj2BqfHZneaDcD8qX1pFNdNannJWrdLE2wttd4nOQbH5g3BsXlDUDc8oFTXJiIiIiIiIifO7HBsK2d9gye+2Q0AENKEpEvHLe0PpyrrZBeeOoU8Q1FC0KRSDiQnDQeffczt1725aLZzYbYymfPpda7THGfWhyPvoutk6qCt6j+T84ufwpUmfRVt8eKSZfuTlIGq5zX67G2EDhkC4eODZRuOOxwvuGwuLxJiNOLaHMeyDghWT0o5JSr2Kekr2QXlOv/11Qew6I9DJfa7XIbXyTM4JuDv+ngL2jzzq9OFDW1nFj/61S48U1TXOK/QiB93nUG/3Hm4IoOww9QYnzd5VfUagOufi30pjrbP/IrPN51QtH00vhNGdqhnSUhGupHkf3P0NQCAZnVKXhjV3tQ+SXigbxNLvqW0AvVa1RrVr68+4NjZiX/PWJfeO3DemtaLCXRMyoYHWBO7jaLVy9UU+7/b2ir27+7R0O2YXDl4IatUSXxnNtvVWE+KCSr3NSuTj1aD76Z2x/t3dsCLN7fydDhuq7ZJbimlUUo5U0oZJaUMllLeLKVMKzq2TEoZZNPXIKV8TEqZKKUMklLWl1I+LKV0saYxuSM0W6LZSQmhMvCJ8jd/yvZwCQXxTyQrS6P3fOkPAECOzSwCY4b9GqNERERERERUYfb9CFw+7Nh+dkeZL1lgMFnqzPY+pZwVXqgFTthN/rt/5VzzrMiCLKhJz1JPJkVkON6POptr3fxEyUn7pLOOfb580YB5HxmcLjr5TVcBff0kdHpL+TP8zfcR3Kc1lylZVb+j2qnQt7TW3lVb5C3//HDEZD6GVSn3QXW+pjuLKLYba93uMKHk/qVwOad8SW4AePmX/djixmKKmXmlS+PYz+S2pZactK/tDACL/zkKo0niqe/+xdTPtuOojEO7/PdwY8GzWHfkClrEhzic0yAyANe/7n4t7gy7RRIbRgXC3660SklrlI3vloggX2sy+K9HXD/5vu+Zgfj5wZ7o1TQa917bCDPt6i6/PeYad0K3uKdnI3w2sbND+57T7teufux/uy3bOq3177VR5dfu1g7WUjUlfQBin/TvkxzjpKfSvJtbQQjz+7Hzqf6qZWbSi/7+/3MoDT3m/46pn20rsSa4rbNXc3HrO8qnVCqjBEpFiwryxfXNY1VnhVdX1f+nSh6TemIbFrxrxLNLjbhxveMvsE5r/u935b/Wmlr9NZvxme45Rb9F562lSHacTLds29bkDmhf+sUuiIiIiIiIaqvC8xfcT7SYjMDyMZbdZyPD0aphfezw1QMfDgDUSmSUYPjCv9H0yRWWR/mvO6msFmrQAh/1U6YcNl/8Ebe+sw7Go3+rXvNQY/U43llkhLApGTAs0zyLW6p07x+WjoIScjI3qdzfAkCjc8BTnymTpvdP0WLKfVp83luLRSvVE7CP6pZDAxMG6zeqHhd6axkT2xINNj1w+FQYTjYcB8xIBfo9bT3U+DrX30yxfk8DPR4CbnoXiG1Rcv9SSMssf5IbAEa841iOxt6uU+5PgMsrNGLy0q1Oj9uXWSk0mtB67q+qfV9fdQDLVUqX9Gsei8/u6YJ7r22kaD9+KQdpWa5/LsUzvQ0q5V6KS0HY+2KS46Kh9/dpjGl9m+Dh/spSI4G+rpPi/notmseH4JO7OuHxQSkOx+OcxODM5ewCBOh9sO4xN/9OqjhxOQcLfz+I3AIj0m1Kl7SM8XPoazvb2dWs+bfGXOPwAYFWI9AgsuTKALd3qo+Ns/ti1UO9EOqvU/1AQxR9yDTmg404dSUXP+46i1/+Pe/0mrkFRsWHKV9scvx7RZWDSW5yasvD9yAg37w96k+TYlBha2BRLagYXMF7+tfRTbtXcXzLOesg4cZF/1i2QwqsSW6fqFLWGCMiIiIiIqqlzr/0Mg5dey1OjBvvXqI7+6Jlc7uvHl+GmGc93hFfBzDmA7klz7C1deB8JnbaJCM1fqfQ4cJ+RR+tCbgSrJyBHJILHPB7ENrlo1Wv2/CA86Tdqx8Y4WMwf69Pp5lLhFw95piki26UjZShpVvc0Fai3eTfi2ECfTvehhc7fIZ/Dpl/TosNjmVJPtC9gtf1b5f5dQFzEg0hceaFJOt3BcIaANc9WfKJgLlud7+5QJvbyxWDPSkl1h1Oq9BrFhvXtQHeGdte0VagkhB25s3fD7o8Pu2LHYr9SZ9scdp3oZNyKo8NTEZogA6PD0rBptl9Vfs4s+GI+e+p2qKMtjOybXVpFGmZYR3s64Mld3XCIwOS8dD1TR0WTQwPcF7eZNk9jjOu7cWHOiaWbc0amKzYL54JHlfCeSV55dcDmPHlDsUipEG+julJ2/Itl2yS3Ca73NT1zWNVX+fjCa4XS9z5n/4AgJhgP0sNcPuSMgBw5KLjkyd7Tqt/GHPqSg46v7AaHZ9bja3HzU9tXMzKV/Tp06xm1LeuiZjkJlU/HP4B7Xcra4F1/0t9tnVUsB6zfZZhk9/9qsfPyQi0nvsLus/7XdHe7ewey7Y2LLScERMREREREdUOlxcvBgDkbNqE/IOuE30AgLO7LJvPRkU4HndSPsSZ5ZuVMxMDGryLX9spE9qnI4FLdmWDb9hggtAW4F+9Y1EOA4C6lxyaLepeAnr+a05uFZ99dpNjaQGhAfR+JjQech7auHzklH4tQwe7dvXF1E+tya/z0vF1r9PuAAA0Gux8hqe9Z4crZ1ynFSfDfIOAu1YC03YCCeYkcL7BiHGLN+GdPw+XqlRCefx3y0k0fPxnvLVGpcyNC7Ehvvj0btcJRgB4enhLDGxZBze1S7C0/b7P/frHn5dihuylrHz8sf9iyR3txIT4qW7bG9423qEtM8/gdAZysJ/zxw0GtYrDsXlDsGtuf5cL/mk0zsvYdExU+T23Ex3s6/TYLdfURWyI8niov/k3TwiBqCDn59rW0nbGNsENACEqs9LDbZLcV2xK5hxJU/575az0R8OoQNzbq5HqMQAIVYmzVxPHn/dbaw7jfIZygdE1By7gnN2io1JK9Jj/BzLyDMg3mHDXx+bFR3/bp/w3oSx/D8k9THKTgz1pezD779kO7Q+u3whjrvk/ny6hEyyP/mgyTmGSz09Or5cNf2TkGXA63Zo0j8pJV/TxiVH/5I2IiIiIiIispF1pkfzU1JJPyjht2Wyfl+94vCC7VDGE2M0oFZpC6GxKDi/towGEQL5emYQbtsmcnP0xyHERuasmZZLrXJjj64ZlAd91f9lpXKGNrN+HPtiIptdeQvjICw61wUtDFNTF5qPKOtpJ4rST3oBviLLcycHQBOQVGnHPks1IfEx539xPZQaqbYmN3EITvtx8ErtPXUWzJ1fizwMXMW9FqmWdq7IymSRyCgz4cstJpzNSAeCRr3Y5PaZmXNcGODZvCDbO7oeeKslCWyum9bRs29bV/lRlYU5nSrNQ5f5zmW73LYtHBjRzSHR/tfUUPvz7qGr/IBdJ7mLCjVrsvz98rWq73qfkdJ/99TUC2D7nenwxqQteGtEaXRtHWo7Zl/FIy1L5dwTAPT0aYvt/+uOdsaWr9x1c0kxum9Iw9vXNXbGt6+0Otd9JAOj8wm+K/T2nM9Dlxd8UZUmW2v3dvZpbiJ0n03E+Q/mzur9P41LFRO5jkpscjPppFPzz1D8Zzjl2P7IOzsaqDc3Q5IkVyCs04pkjpXscat7fb+PTX5V1u/UN6pc5XiIiIiKqGYQQWiHEy0KIi0KITCHE10II1bp1QojBQojfhRBpQogrQoi1Qoiean2JahNTtjIhfebRWcg/qp5Is/CzPjmbLVTSADalJIsZTUbkFDq2A8Drqw9YtrWB+6E1SvTZbb2HPB/mOhyd7e3mlHUAgFNGZeL8SJxjgm/M7hDEnDHX2ZUq6w3Gd7qKi1L5lHAjgwGHh5R94bSMI5Mc2gxwXQvZVrbOD/+3+iBWq8xQjgt1LLeSY5PwfXHFPjz69S6MfFdZy/rUldwyzebOKzQi8bGf0Gj2z7hx0T949KtduPWd9biYqZ6wLK0l691PUKfEWZOmHRuWPOvYHc1ig1XbpZSKSXfu8i9hIUhbUUG+WHB7O0XbpmOXHWZDF6uohQcbRQdh0xN98fptbSw/U3dm0atZOPoahAfq0aVRJLQagbhQfywafQ1GdaqPN0a1K/kCsJYOGdgyDj8+0MPt1y5pJvelbOvf0ex8a5K7e1IkXAlzY1a5rZuvSSi5k43vd5wBAJzPyMOc7/51OD7cpmRvsZn9mzm0UcVgkptUhTn5ID/l0glIg/U/o3krXM8a6Ji3SLF/w+G1aJPm+KiT0Lr/nwcRERER1ViPARgOoDOAukVtnzrpGw7gTQBJAKIBfAZghRCidNOyiLxM7o6dDm1HBg12fdLJTZbNywHKJHCaRuNQriSjIANDvhmCa5dfi/VnlAnWNfutyVptwGE0CFmMh/+nnF0e4WLSrDBJfB0ciLPF94BFiyTKzUGKfkv6OqYrTFfScXLSvSjI0iJtrzKhGVTPAAx/C7cVzHE47748xzq7AHDHkLm4aejzeLflDarHferWBaRjvZP/M9yi2l+dwDt/Oi/3sefpAYr9nAJrAu+ToqRxbqFjRn9nKRZoLHbfMuvioAfOZ1mu3fH51cjKN+DA+UzM/mY3fk897zSJXj/CupjftL5NFMdubV9Xsd+ziXtrb12XHKPYzys04rVf92PB6oMoMLhXo3tAi1i8NfYaTO2TpGgvNJow4ePNDrPSn7+pJTo0cCw7Y0vt5+6M/cKHxb7YrF5SZdvxK6rtZRET7Ieb2tXFimk9cWzekBJn0dtaOLodtBqB/s1jMahlHYfjQ1rH4cWbW6FxtPL301kZkDb1wizbLRNCHf5OOOPn4/ihVrBN3fK8QpOlZIhtkjtQ7/oDrIgAPRpHOz45MuP6piq9AV+f0uWm1h8211iyn+ntzJNDUtyaoU9lwyQ3qQrMU29/be1C3LXnRyRkXYQvCuC78U2n17jY9DZchPU/jYDCXEzZ/V1Fh0pERERENcckAPOllEeklFcBPApgoBAi0b6jlHKZlPIbKWW6lNIgpXwbQC4A9YViiGqJM48/XvqTNloXRLxsUM7O7tOgrkO5krd3vI3TWaeRZ8zDpFWT0GpJKxQazY/lj/9os6Xf8IsfYtHbRnQ4pEyIHraZhf30aGXaoWuqRIZWi/71E/Bbp7GWdt8TymTynYVXkek40RkAcOVEHaT9q0xyhz36Fg4l3IAj0rE2sppGP/2Itq0bIc/HF98m9VLtY5g+S7X9PCJwQ/6z2GBKUT0eEGuddfpn3baqfXoXLT4X5OuDRlHWJFxxAs9QwgKMp66oz7J35fdU5/WuJ32yBf1f/wufbTyBuz7e4nTm8/J7u+DwC4Nx5IXBeOj6poqFI+ff0lrRd94trV3WfS5mX5+6x/w/8Mbvh/D66gN46vs9quf8e14Z3x1dEtE4OsiyOGKxJk+swBqVGshjOjfAljIkmm2TuGoeHah8/X/PZJT6NarS0NbxOPDcILx3Z4dSJV8jgxw//PnxgR4Oyf6nbmiBeTe3wnf3d3d5PbXXtm8r/rDoaq61RIizBTyLaTQCH0/ohGdvbIkNj/fFp3d3wpuj2mFKb+clQ3Ra938OP+0+63ZfqnxMcpOq3rud/4d666E1+GD1fOz3G4/HdZ8rjhmbDAIeOwncvQoRI9+CnyEfww+vReez/yLlsvqjSwmvvVqhsRMRERFR9SOECAVQH8DW4jYp5WEAGQBaOzvP5vzWACIBqGc8iLycKTsbZ+fMgTEtTfW4wa690GjCqr3nsfdMBhBlnbWY6edY0iE3Xzkr+Ndjvzr0GfD1AIdF9CauUq+JfKCuOUn03fGLqBepTEbqbcrpTr/4F6SUSEtQlkLI95O452oG4gerL9BmSnCsQ+wTH48R75hnnR83xTgct+fbuDFutFnwcF6HMQ59Fq475fT8XbIxbi94ErlwXIwwrmM6AuPysCKxM35toF46YnDLOMu2bZK3uN5wVr7rusPHL+Vg39kM/Lz7LPIN7s04bhAZ4PTYusPKVT97zFev+10nxA9ajbAsejiwZR0cmzcEx+YNcVgIMSHMH5uf6Iftc653GZd9ktu23rOzxSWf/UO5mF9JZSvUdC6hTIpavesnBqt/sFHs3l7u1Vv+cFxHt/pVBa2LBSydOXRB+fTHf4Y2R8uEUId+Qb4+uL1TfbSpF4bkOurlZNxVPLN71te7LW2Xc0quy14vIgB3dGmAOqF+6NkkGsPaxLssF/P+naX7LH3IG2vd7muqokVja6uyF6Yir3Qx5yIanpPov73kXzwpAfsP27T95gB+IUC9TtACeH/1S4jKMw+Y/qirXsNJ+Dv5eJ6IiIiIvElxzTv7Z+zTbY6pEkLEAPgKwEtSyoNO+kyCeaY4EhISkOrOYnwVJC0trUpfjypfdXxP5Y03uTx+cN48iHvusex/tScdH2wxJy4PBZ603PynwTEheuzEfgg/6/d7Iddxxu/F3It47n+bHNrtvdw/EdlHRuB+wzo00n2Fly/m4lBQDAqzzBHY32m+/ufr+ESbBtvpU5cCzDeadXWF+Dq6AZpfVE6YSm/UHLq4jSg8a02gHysoQHqOeYbn3YUzsdr3UZdxpqamwpRhfYT5z6L71ce2LLO0/WyMBFzm/wTebfk5pu9Rvjfa8AAM6vwysuH8XteYeRGpqeYZ9BqjNVG39+BRBOScx57zrmtIv/zLfrz8y34AwMhWYbirfclJ3nC9hPtVs9Xt37+/1OcUGpXv+qjW4aX6/VLr2yVOi5VHrX+XSxNXnSAfpKamonc9H2y0K2f/cI9omCTQrX4gCi6dQqoy96/6n1WbOn5ufT9hflo82isGzaL8cPbEYdTkOcCZGcr/ypMDskv8GczoEoZJ36rXMnL2b+5d7SOweOtlAMDJcxeRmqr8u/TPwYr/t7oOgMU318firZfw9/GSF+UtzWx9Te6Vavd/S2XxxP+jTHKTwnX/vQ6z/nKv5lX64QCEJ9k9IhVprX+V+++/lgQ3APQ5td3hGtroKAR27Vq2YImIiIioJim+s7Wf6hUG82xuVUKIeACrAPwKwGmdBinlewDeA4AOHTrI5OTk8sRaKqmpqajK16PKVx3f030ldfjxJzT5z3+gDTGn4T74+CfLoeOFYWikycXk2GjkSccZwkFHvka9G56xNmxUf4lfD5Wc8NnkcxeQ74dmOusMXL+wQkuSe+wfJvzZ2jqL8qPjHyHIbt1DH2FNZL3W5nZ8sHq+ssOit6Dr3BmFZ82B6urXh6ZuEwDmReAOyboY5f82Ps+dohqjb9OmaJScjNwTVwCctrQfDFPWD5Zqi3Ta6dS2NVD/FeDnmZY2bb85yP7GeYK7T7No3N6nnaUcQ+zmbKAoYe8bGo3k5HoYaPP+leTL3el4aUx3mEwST3y7ByaTxLR+TfD5phNoFB2Im9qZvy/52yWYqz6V3rA28ZjWtwmSYoJK7qzqiGXr2du6wMdhJq3zuuX2v4smk8TKj639h7SOs+vj/FoA8MvD1yHUX4cNl44CUH6g0ySxHgbazLJXp7z+znN5itf31x1Tref98/RrER/mHZP8Ho5IwIrX/rLsd7umZYnnJAO48ZgR3xYt1ggAeq0GS+7qhPDCi6r/5rbOPQ0UJbm/2XsVr93RHbY//xduboXk5IpfqiMZwHWdzAtKultvuySNogIx4fr2ZZo5XxN54v9RlishB+0PKz8Z29EsSbXfuS1hkPb5cB9rva3TD05z+Tqxc55Ewy+/hMbP8fEuIiIiIvIuUsp0ACcAXFPcJoRoBPPEuF1q5xTV6l4LYIWUcqp0thIakZeTBSU/kg8AF157XbW9seYsdvrqsS5APcGWnXMeyLlc4vVzfPZBaLMAmKCPXKPaJ1fvi5/0szFUa82UZ56yvm5oDhB3SfmrvHiBMiGYlGAuhbDBlILTQdFY36q3Yywbrddf3OcuXPfqn4rjKc3bKvZj2lonYDX47DNznzjlvNwzQdH4OulaXPYNRtgzz6p+f/NvaYUPx3VAnRA/3HxNAro2jgQ6TVR2im3hdGG7aX2b4KMJnRT1hreesNaGfuSrXSgsoR63mqNp2Wg0+2d8vukElm85iW7zfsebvx/CQ8t3ov2zq5D42E/YeTK91Nct9uaoduVIcAN/PtIbD1/fFGtm9lZJcAMfT3BevsNkUv59+WO/MjEdF6LMKbx3R3s4oxFAqL8OgDlxb8+dJPSqh9RruBdbrVLmxN1r1xRJMcH45K5OmD042WHxVFdm25V72f10f/PvkBNhATrF/tqDyrJMN1/j3sKWZRUbUvp8Veu6oaq/K6tnXFtrEtyewiQ3KfgWON43DK+3HkHx6itR5mc4fxhA+Dg/po2OQsSYMdDFlfQJKRERERF5kfcAzBJCNBRChACYD+AXKeUx+45CiGQAfwP4XEo50/44UW1izFR/xN9e7opPgUuHYft5UCjMCeMzLu7PPgsJBlbPBQBkZTivQx1Q/0MEJs1DcMps+EavcDg+7IZ5WKV/BCmaE4r2oATl7OEF7xkRmOv8M6u4Zubvd7XR/JnYl11vc9oXANacdpydfF+fxsCTF4BmgwEAkc98hOR9e5GSug/aIPNCj346LWJDlAsjftByGMYM/A/WNuysaH90YDN8OK4Dbm1fD31TYrH+8evw2si21mR1h7vNf+qDgMQeeLBvE9VY1RZivJipnMr+y7/nXH6/avq8ssbpsUvZ7n1IUpkaRAbigb5NkGizyKata5tGOz3XvhzEsUvKJ8pP2i3CeX3zWKc1uhvavH5kkC9Wz1AmrFvXDXMaR7Emsa5rS8eHOiZGW8S7rMpVI/VqGo1JvRqXuPijrZgQPzwxOAUt4kPw7h3t4eujddm/qd3P+s7F1pJJxfXhq9ruuf2dHls4uh2+n9oDiSr17+1r1lPFY5KbLC7kXECHg44DDf/IQtTrdRkpt59xOGbMt/4VWqSfoDyvbVunrxU3d26Z4yQiIiKiGmsegB8AbIa5RoAWwFgAEEKMEULYrmQ1C0ACgOlCiCybL8fV4YhqujM7gHd6AF/dBZgcyxwYLqovwBjf5YpiP/+qDvLnR/Dwf3da2sKFOWEcbDLPDtYaJbruNaH5cets4W+Cg2A8Y14Ttus3g1yGKjTmcif17Na/FHo9prYyoJHGMUHrUOYSwBNfmL9PtYlWmqK81zlpXhgw1ygROflepzFl6xyTilFBvuYnjUd9jtTbNwJNByhmTxdbM7OP4wWFwKNfKx8wmdyrMfqmxFoSVQ7XGvoaMPcqMPs0XLlFZebps8NbKPanfuZY6tPbqb03xZ74drdif43dTO4nhzR3uNa4romq1wryU84MTooJtiyceWzeELfjXXaP9UOQrU/2c3h9e4F6VgsuNrFXI/z0YE8MaFGnxL6uZr/bz/KuLPf1Vi4mGuzn/HV7JEUBAB4bVL3KXdUWTHLXclJKnH/xRZy4625c2LsN075XPhY1ZPhL2B9oeaJU8YgXAFxKDcICw82YVPAQxs14WXHMmJ7u9HV1dSv3kRIiIiIiqn6klEYp5UwpZZSUMlhKebOUMq3o2DIpZZBN3wlSSiGlDLL7Wub8FYhqqO+mAud2A3u+BrZ+7HD4yudfOLQF181FQGy+QzsO/ob/bbMmWiOgnAV++58mPPSdCXM/M6HhOWuCObt+N/T6Qr0Mg3+eMhEdmi3x6gfKZHzi8i8wLf9d1fOD4hzjTDoHzPnMiAi7SepBw63Z87WmVgCA45dyEDXRriSIjRyfspeB8NdrMcUuiaWmImZhLhp9Dfz1jjNXx3RuUO5rl9WKaT1L7PPzgyX3qQijOqnXVt51SpmHsC9ZUS/CcdZskJ96UnnWwGZljE6pe1KUJTEeGeQ4O99efhlK0JBrMWUoJVIWk3o1Quu65uVEvp7SDQDwy3T1fytDihLgSTHB+H5qd0v75xO7VHKUBDDJXetlrVmDy0s+Qfa6dZDT5zocNwmB5Jxtlv2IZsqFRqRRYIHhZhQ2GWz5RDR39x6cuOsuZP2prIlmyzdJvc43ERERERFRrXPeZqbqodUOhzNXrVLsR7fKQJ2OV6HVOSbOCjKVyb2wogckUvV6AMDwjdaE9b0rrInqL/d/gdyMyxj9hxE3/WOCKCp58sbbBix53YgvX7QuWDl3qeNsc7+UFAhf5zWb/SMdS2a0Oi4xeLP1exBBRtTzN/fb3ncprsJ6vfl/nnA4v1ihVvk9u6rvrGbWwGSsmdnb6XG1EiNl4eujnoJxN4H+zthrSu7kpvHdEvHV5K4OdcntPTYoGc2rqNTGzP7NkBQThASV2bsZeYWq58SplAYBrMlGWxO6J6JrI+f1nyuSfbmU8tRDr+0m9myo2r7n9FXV9ooWFqDH91N74Ni8IWjfIBwA0KxOML6YpExcx4b4Kn6XW9cNw8HnB+Hfpwe4rDtOFYdJ7lru1JT7LNs+aY7/QHzV8aBiXwggpL71UbOcC77QGQoRYPPozakHHkD2uvWK8yImWEuZ6JMaQ2hd110iIiIiIiKqlQptSnvs+i9w6DeENA+1NIU1ykZUiyz4+JqgUZmsap/kjigqV/JGRJhD30Y2lUUWRISh/3aJGzdIjPrLhO7/Sjy+3Ig66dY+bQ6bE9IJdmtUpgcAyE4DDv/m9Nuqf12aavuA7daku8wy3yfeXvAk2nQfquj37l9HVM/fGJvi0NYxMcJpHM4kRgXitg7qM4lfvbVNqa8HAD8+0EOx3yTW+YcAjZzUqn5ySAo+HNcB797RHv2b10GzEupBu2vuDS3QwY2f06iO9Svk9dwRGeSLVQ/1wtpH+2BIa+X6Xdn5BtVzvp/aQ7W9eHFJW08MTnFZFqUiLbuHM3crymODHH/HAcBf59m8UpdGkfjmPvPM7rhQP/z1qGPpI51Wg8BS1Cyn8mGSu7Y5vQ2YGwrMDYU85HymNQB8ktwfHXbPdWjPu6JX7Pc7uRXjuyda9g3nHGuwRd5zN2Jnz0bklMlI/GJ5mUInIiIiIiLyesf+Nv/5w3Tgf/cAS29WzPT2DVUm+5refFaxf2ZjGEJgfQI3DFnIKUrsaUzKsiNGu3zf2D+ss6of/MGEdkeU/Ueutc7wthU5rhvwskrJD2FNOWi0UF3nyd6nhn7YYGquOrv50e6THdpe7DjWoa2sSaVtJ66otvdsElWm67VMCMVLI1oDAGYPTkaDSPVENgCsnnGtantkkB59U2IxoEUdaDQC1zePLVMsZRXgW7WJRCEENBqBqX2UT38fvWj+O30hM0/RHhGozE8UC1dp99F6LgXWp5nzhTXJNWeLSz45RD35XZXa1Q/HsXlDsP7xviUuokmVj0nu2uZ96ydLGc+5XqF6d2P1umTR1ygHVfec32j5pLzglPpK3NqQEETceQdipk2zrGRNREREREREdkwG4PRWYOtH1iabbLTwUSaZtZ1GK/YDoguQKKwTjyJEJv4bbJ5BHKqsPgmtBL580YDFr6vPkrXX5Cww9nfHEinxe39w7Nx5MvDwASAkwa1rF5tjuMvpsd3RSbjkZy2dcevgZ5Dvoywl8tSw5vanua1RtPq9anlm/47sUA/H5g3BpF6u6347K1kS7KuckVxocl3bOdhJLWpb9rOcn76hhZOe5pmonmBfRmX0Bxvx3y0nMemTrYp2ZwnQQJXa51WtX4r1A4nnb2rlwUi8U9M6FfNUA3kPJrlrKWkCzmwId3p8yo2Dodfb1VmLTAIe2ovgN/Yqmv3OnUbBCXN9tNztO1SvJ3RVs+otERERERFRVcvONyDTSc3gEmVddGx7/zrFbqFNCRKNVuKTkGC0algfP7QeCtz4FiIn3mM5rg82YJzPLwCAyEA9wpCJVyLN9372izwWC8oDIjMcZ2irGbbJsZ9avW00HQAERQM+7tez/qxpPwCuk66P9piCrxv3wuPdJiFLr1xwcP3j12FCd/X6ve6Y2qeJQ1tVzhZ1tvCirahA1z/P35zMCLf160PKRfPGdUvEpif64uDzg9AkxnlJFU975Ktd2OFmbeuqKkviytPDW2BSr0Z4/84OiFepM07lE1tFC09SzcEkdy2Vedr1PwbH0Auhwu5j/sn/AKEJEL7+8Guu/HT8cP8BAADhq/6oEBERERERkTc6lpaNLi/8hvbPrS794nJGA/B/Jc/wzLloTWxm5WvxclHSenbmLty76l5oI63lNC4fDMT+qH2Irv8GpvX2hUFvjklIiReXOC4YWeztRc6PlUSrV0mQBxXNYr2sXktbzacp5vvK4W3jAQAv3uz4szkTFI0PWt2AHTFNFe0hfj6ICy1fIjEswHFy1j09G5XrmqWhVnu4cyNl3Wy1Mhy2Ylwk/v59egAOvzBYNTkYE+wHnVaDt8deg+L8cHlmxVcEfQmzyK9t6roESJKHE/YJYf6YPTilykvM1BZBrHVNdpjkrkVGv7PWsm0qLOlTTR8Ew2bBE6EFdNb/COv8Z47DGYYrV2DKzHJob7zacXVwIiIiIiKims5kkuj9yhpk5htQYDDh7iWbS3eBg78ChtxSnfJLiDKRu+7MOpzYssYmKIHPwwKRF3gGLx+5HxH++wEAKSfcm6ldWhHNHO8BAQDR6jOgY9pdVW3/sMUQQAgIAYT4mZPNt7ava0l4F0uMDFA7HX4VsAid/TVeqOISE6H+OgxsUcey/8iAZgj2UybeB7WsY3+agxvtfmYA0CohFIG+Pk7LexRLignGd/d3x/t3dsAdXRq4GXnl6NXUdS30q7mun55oaLOYZ0kJc6rexnSuugVQqebib3ktceJSDo4eO2rZ1+hKGuBItI+z+c+0nXIxD02Q4yeiBUeO4OwTTyja/Nu2hb5u6WqwERERERERVTfGjAycuOsuHBs1GoXnzDWv7/lki6JPWpZK2Q5Xtn5c6jg+aOs4C3d+zCan/R+PMScK537mupZzWQTG5iOqpV0NlMAY4PFTgEY93RDRNBsRN0c6tKf5hQIwz84srk/to9Vgwe3tsGJaT0u/Y5dyHM4FgAuZ+WX5FhT8dMqYm3mg5u8TQ1IwuFUd3N+nMe7r7VjHO9DXBxtn98WDfZtgz9MD8Nk9nS3H/pjZGwDw+OAU3NAmHh0Tw6ERgN5Hg5dvbe12DK3rhuH65rEeXagRAP4z1HnZGgAY2jquhPObw0+ngUYAH47vUJGhURV7/qZW+PGBHhjVqR7a1gtT/JtAVIxz+2uJr7edwn0+31n2pf0y2jZ+urE7dvneg+DLNgM0vTKprU9MdDgvbdEixX709OmImnxv2QImIiIiIiKqRtIWLUL2uvUAgKM33Yym69fh99QLDv2u5hQiVKXshaqDv5TYRUoAQgLSfA+Xo1KS+Wy49f7uisraie0OVXyCO6plBqJbqszinnkAsK2H3OU+YMNbll0hgFj9blyGcrZxno+5DEdmnuMimO4splgR7GdNt4gPcdKz8tSLCMBbY9q77BMb4ocZ15vLtXRLisLG2X3h66NBWIDecvyNUe0AAGlZ+dAIgYgSypxUR/UjA/D3rD7oMf8P1eNjS5hpXi8iABtn90NugRF1Qlm/uaZrmRCKF292/8Maqn04k7uWWPDbQdzhYy0bYsizvvUH7J5kmun3X4SIXAhpU5PNV5nkFj4+qP/xR4q24gFfMbXZ3kRERERERDVR+ldfW7aNV6447ZeWXcKM4szzQG666qFzWi1y7BbMkyZYEtzQ+cCodZywlGlTwSQ4F0WZcavhGyo+yR3W0EmZFfsF/+LaOPbROWbi87TOk7DBvm5+aFAB/pjZG6M718f3U7tXSAmUqhAb4mdJcNuLCvKtkQnuYnXDA7Dkrk4O7fVDdW69P6H+Oia4iWoJJrlrAaPJsTRJ5inrKGhzUw2+7KHBhVBgdy8n/0noHQchgV26uHxdU5aT2mxERERERETVXIHBhPWHLyE9pwDrD1+CKTvbrfNW7jmnbJASOLUVOLsLeK4O8GpTYH4D4LdnFd1+C/BH/3rx6Fs/AWk2pT5MBut2ptZxljMAFOoE8orywD4mwN+uasrJ6JLWZHJu7ADH9ZgAQOurslDl5L8d21JucGy77RPoGykXdNRI5yU1g9yYyV1Ri9A1jArECze1Quu6YRVyPSo/tQUmA/VMZxGREsuV1ALHL2UjFpct+yaDQG6a9ZPcHF9gVVcNvuqpweuHQgGcdLyIvvSzsqWp7KtzExERERERecr+i3m4cdkvyCu0zoBeYddHFqovehcfZjdrdOvHwI/THTuufUWxOz3WnMjLEgJ3xMdixamzyLmox8m1EZY+vuo5bgDm2dx+RSHVuQwctSlXfDlYACjdwpOT+j6Ck8Gxqsd8AgzQFGcTejwEaHRAyjCgjspCjfoAYMhrwE8zrG1J/VDnP8E4MX68pel8YITjuUW0GoFAvRbZBc7vMUe0r+vq26Eabnq/Jvi/1Qct+/46JrmJSIlJ7lrgTHoexvtYa72dWqscPByLNX+qv+3oCUiNk5nc9o+cFUn8+iscu2WE6rGoe1mPm4iIiIiIapZ9ZzMw7afTJfa7ePo8NDBBQMII631UodEumayW4LZz0kd5H3ZKp0OPiKZ4/wvl07F6F0nu6AzrdkiOBGC9hxuw1Xm5Er/mzaGrXx+ZK1da2o6G1HGa4AaApKE2tcj7PuX0ftGi491Aq1uBy0cs5UsCOnVUdDkdGOXyEkF+Pi6T3Ld1rOc6BqrRGkYpny5nkpuI7DHJXQucvJKDIJjrpUkJZJ9XrlRyPsz8pw4AhJNBw9G/gA53OTT7t1Bf7TgldV8ZoyUiIiIiIvKcF1ekOrQJ6Zgkfu/1+TgS/gkAYED+POyX9QEAFzNLqMltRwIYXC/Bob333hyX50X6ReJS3iXL/sZmAp33mxPs0RmAziBR6CMQki0RYVdJss6zz0D46FBw/Bgixo2DT3g49iVbk9w/Neym6L+s2fUYs38VAKDx0PMQtvnFkhLcxfxCgPi21tM0GiR+uRyLnnwLK+LbWa5zV/eGqqcH++lwPkP5s11we1v8cygNPZtEIyWu6heJpKqTb1D+Dmbl88lxIlJikrsW2HJuI/ITdiI6KwDXX3ZcHCQj0I1BSbcHnB4KHT4cV7/7rjwhEhERERERVQt5hY7Js4BCx8T1pBPfAOHm7bd0C9C34FUAwILfDuL+Pkluv17rhvVV28escUys/9rOeu/2xdAvkG/Mx9BvhgIAfG3qcE9aacLoNcDscVq88a7j9xN+660uYzocqky6L00ZgGdafQKhkcoEdzn5t26Nhc2HKdoeH5ys2let5nawnw9eGqGysCV5ne5Jypn+O8/leSgSIqqu+HxHLbDqyvP4M8Afj8REYZMpQLXPH8dPub5IQnunh4zZXGCSiIiIiIhqtt2nrmLsBxux6ehlh2N6k2P97Uv7glE8wbux5qylvcBgwosr9sGYk4PM336DMd/5pKJjPk7mnTlZhHFfPfO1TIWhmLb0KBqENLAca3tUeU5QHlQT3HUXvql67QbLliI1vB6+bNIHqRENHI5rej1QoQnuYrdco6ylrdOqv4j9TF4AaBxd+rWjqGaKDNSX3ImIajUmuWsBCevAJuy7UIfjTTIiEWVyXqOtJMJHp9iPefTRMl+LiIiIiIjIE4Yt/Bt/H0pTPeZrVF9k8vT6cNX2d/88gh33PohT90/FgW/icOWQebKRIU+DY6sjcey3SBjyNRhWL171/Nh09Rjzi269Cq90xcajl/HH/gvqHV0I7tdPtT2gfXsEfPAJPmoxBADw7PAW6JcSi7rh/lh2T2cgsYfjSdfNKfXr25t7Q3PL9heTujjt1zLesRxJg8hAlZ7kjfx0yrr1kzpGeigSIqquWK7Eyx3POF5inx2nHwb8xpb5NfQNlJ/yR9x5R5mvRUREREREVJlM0oRcQy4CddYE6akr6vWv7722ETJyC3HniWPAKsfjmSf9cWGnATFtMvGH7iFMSHsEHc+n4kxgFAI2/2Ppd25LGMIa5+DCzmDkppnXSDq9OwRQr8yBFsfVZ3Jri+YmSZM52z3ho80ITjG3pQcCYdkuvnEAQX37ujw+oEUdrH/8OgT5+iDYT4c7uiZaD647oOzceQrQa6brF3RDsJ8Ox+YNKbGfzkc5R69xNBPctc2m2X3x8H93ol29MAyur/47QkS1F5PcXm5P2h7Ltr7Q8T+BT1v0hEltQr/WF2g+HLiwD5jws8vXiJwwHlc+/xymjAzUeeZpCGeP3BEREREREXlQniEPI38ciTNZZ/BSr5dwXf3rAABvrTms2n9Y63i0iAtGavPbnF7z0r5gRCZnIe8bLd7Ga85f3ARcPWpNzOYcUi8l+eXQL4EXb1Y9Ziy6ddMGHEPhle6KY28N0WD2l66f0K3z5BMujwNAXKi/+gHfYOX+9c+UeK2KZDIp72f7NIup0tcnz4sJ8cOnd3cGAKSmOi4QS0S1G8uVeDm91lq3KtTuU/1/mwfhsybD1U805gO3vA9M+du8CrYL2rAwJP3+Gxr9/DPCR44sb8hERERERESVYum+pTh69SjyjfmY9sc0AMDfB9Pw2cYTqv0DfX1gyip5DaKMk04SwzauHnfsM/NrI+petCZv3+//PuKvOr9NPxprrsltyGhtaTPmmBeuvBjqvPY3APg8/xh0cXElxulU/a52F6zaGsmzBiqnvT8ysFmVvj4REVVvnHLr5ZbtW2bZ7rVH+cn3zV/8g+CDl3Hvp1vL/TraoCBog7joBxERERERVV9H0o84tI39cKPT/oF6LQznz5R43dxLJSd8z25yrN/d6YBEpwNGjHzcB++mDUFonwm40qG9Q79jMcBvbTS4VJTINuZZa3nnnhkJvzrf45whFMB6p6/vG+B68lKJopsB1z8LHPwVuO7J8l2rDMID9Vg941osWXcMD/RNgq+PtuSTiIio1mCS28ttPW9NYOuMyiS3Rq9H/+axGNulPnbsa4+2+eVPdhMREREREVVXqReUC0sWl8DodmY3Ju/+FptiU7Cw7QhASgw9ug4ZY99DlqbkB6CvHlUvPeKu6HSJ8Pe/AwDkblHel33dTWD5tcqErjRaZ4XLwijknrwLuQD2TOqNlu+9qPoa4tCxcsUIAOj+oPnLQ5JigvDsjS099vpERFR9sVxJLZLta318TdO0MQBACIHnbmyFtg99o+wc17YKIyMiIiIiIqp8B7OUM50z8wwAgDmbliA69yqGHNuAxumn0fF8Ku7f9Q0KDxxAvl3t3zod0ys8rueCxzg99nV3ldt2k2NS/YM7O+DWGXei2c4dqteJuenWsoZHRERU7THJ7cWkVM7c9iuw7odf10/Z2S8UmFI04ItpDoxYXNnhERERERERVYk8Qx7+TfvXob3NM786tEXlpmP25k+cXiu8cQ7qXXupQuMLf0n99Y7FAAYf9VrbPZtEKfebmvc1vr6q/fUJCeWIkIiIqHpjuRIvll2Qr9gPtUlya4OD7bsDsc2BuVcrOywiIiIiIqIqYzQZ0XFZR6fHgwpyFPv9T2yGn7HQ5TWD4vIR3KM9Mv+u3JKP7w9wrDtdeNW86OSbo9rhx11nkVtgxKBWdUqsUS2E64UpiYiIajLO5PZiZzOvWLbDjEYM2mW07GsCylczjoiIiIiIqDozSRMAYN6meU77CN1lBBbmKtq6nd0DhDsuEgkAse3TLdsRI4eXGENCt8tuROpclr9jW37a9QCAsAA9xnZpgIm9GqFuuPL+Tp+YqNj3iYsrVxxERETVHZPcXiazIBPXf3U9Jv46Eff99ydLe3SuCcZ86yf7+UeOeiI8IiIiIiKiSiWlxKy/ZqHHFz2wPHU5vtj/hdO+1+YsxthUx5IlUHvyFeZSJcUC2l8Dv9atXcYSXC8PySPPwCist96bhwzByMdcz7oulu3n2CYLQ6DTup6V3WjFz4r9wE7OZ7ITERF5A5Yr8TLdPu8GADiXfQ4I2GBpb7dXOQgKaN++SuMiIiIiIiKqCjsu7sDPR81J3uc2PqfeSUp03Sfx0E/nAJxzPH7ihENT47ceg/jrQWuDfzhiZz2K42PGqr5EYJ08/C84EAf0erx3yxPwz9UjR+eHrl1/BNIF/mgt0GeXVD23WO+WN+D7oz/Yxa7HxxM6uTzPoTSJD2/9iYjIu1XbmdxCCK0Q4mUhxEUhRKYQ4mshRJSL/jFCiCVCiEtCiAwhxA4hRHxVxuxx0vkAqet25X7QdX0qORgiIiIiIqKqt2DbghL7fDnPiIe+M5Xquj5/PKhsCIiAT0yMQ79Ggy5g17X5GDUyEHOjI/FZaDD86nyLHJ0/dGGbsSf9HwDA191Kvh1/vtcLeL7H85b9QfGT8NGETujWOLJUsQu9vlT9iYiIaprq/HHuYwCGA+gM4BKAxQA+BTDIvqMQwg/AbwA2AGgG4DKAFABZVRVstfDNvU4PJdiVgtNwkENERERERF5o63nXi0FGp7uePa3mVGIgUuwqjGy/sB1Z2RdgOxMrICYf6+J0eC42UNHXJ3gfAMAv7n+WtitBrl8zsHt3AMANjW9AUlgSDCYDWkW1KtMCkvp69Ut9DhERUU1SbWdyA5gEYL6U8oiU8iqARwEMFEIkqvQdByAMwH1SyjQppUlK+a+UMqPqwvWw/CzIXctVDwkXM7yJiIiIiIhqk277Snd/9Nh4LWbelodCm7ZvggJx54o7cd+GhxV9NcFGPBgb7dZ1C3UCL92iQUDnzg7Hgvv3R/y8Fy37zSObo3V061IluOPnzwM0Gujq1kX46FFun0dERFQTVcuZ3EKIUAD1AVg+gpdSHhZCZABoDeCY3Sl9AOwF8K4QYjiAiwDek1K+5uT6k2BOoiMhIQGpqakV/j04k5aWVimvF7PtVQQ6Ge/EpNs1TL63Sr9nb1dZ7yl5Bt9P78P31Lvw/fQ+fE+JqCJJNyb4NLhQuiT3kTjzjdaY+Dr48oy5fvd/oovKhdglnX/VK2dw2+qUcgX77Nq2NNWgwfMf48RddyF73XoAQPKe3RAVUEM7dPhwBHbvDm1oKIROV+7rERERVWfVMskNIKToz6t27ek2x2xFAegLYDqAyTAnwlcKIc5LKZfZd5ZSvgfgPQDo0KGDTE5Orpio3ZCamopKeb29AledfKr/2PeFsJ20nzx1aoUMmsis0t5T8gi+n96H76l34fvpffieElFFOnL1SIl9euwt25Ou+3z1OKTTIamw0GmfS8Euzsd8p8fqL14MU0EBhE5XpnIkzvhEOV3WioiIyKtU13IlmUV/htq1hwFQK0GSCeC0lHKBlLJASrkFwFKYa3rXDrEtkCfU386EM8p2JriJiIiIiKimMWZkIPP3P2DKyXHaJ9eQW6Gv+VE/5b3UTXXj8L+gQNU+Bg2wsn3pbrHrBNaxbGv0+gpNcBMREdUm1TLbKaVMF0KcAHANgB0AIIRoBPMs7l0qp+wA0EHtUpUUYvWTnYYTOse388sXDR4IhoiIiIiIqOJIKXH8jjuRv38/gvr0Qb2331Ltdy77nMvrhGa5f4v45jAN1rZ0TFo/VVyqpMiKDgKH4rS4HAJcCildkvrlXi+Xqj8RERGpq64zuQFzOZFZQoiGQogQAPMB/CKlPKbS92MAkUKI+4UQWiFEGwBjAPxPpa93Sv0R2/x8FU3dzhU4dAvo0qWqIiIiIiIiUigaq78shLgohMgUQnwthHBaT0EIMVAI8a8QIlcIsUcI0b8q46Xqw3DxIvL37wcAZP3xh9N+L2560ekxABi41eTyeH7RvKHNTYRqgluVEDhYV5Q6wf3HyD/QNqZtqc4hIiIiddU5yT0PwA8ANgM4DUALYCwACCHGCCGyijtKKY8DGAzgHpjLmXwFYK6UcnlVB+0xl48godA6azvYaMIrh644dIt9/LGqjIqIiIiIyNZjMJcU7AygblHbp2odi57k/B+AF2EuY/gigG+EEImVHyZVN7nbtiv3//1Xtd+FnAtOryHzI1GgUyai/0mx7m9vJHDnTC3unKHFyyO0WHv8FL47daYcUTu3qO8iRPmzXjYREVFFqbZJbimlUUo5U0oZJaUMllLeLKVMKzq2TEoZZNd/jZSynZQyUErZREq5yDORVy0pJVotaYVWDevj8RjzIEljkhi/Jxen1kY69NcnJlZxhEREREREFpMAzJdSHpFSXgXwKICBThLX4wBslVIuLVp3ZxmAbUXtVMuce+opxf6xW0Yg49dfS3WNXy7swqg/rTO583TAkn4a7KsLILYAC4dpIIVAnq+ATkqEmUwIMJWtAmaEXwTq+l4DY26C6vFedXuV6bpERESkrlrW5Cb3LdyxULEff0ni/94zAvBV7S/0+iqIioiIiIhISQgRCqA+gK3FbVLKw0KIDACtARyzO6WNbd8i24rayYtdzSnEH/svoGvjSAT5+mDOt3sw8epVh36nH5yGkNR9AMy1uLed3+byuhHnNMiw2b9QLwjpQXl46g4f2N8aT7ucDgAINxlLFfucLnNQN7guusR1gZQCfx9KQ45mPx79Z0qprkNERESlwyR3Dffervcs2zpDcYLbOa7WTUREREQeElL0p322Mt3mmK1gJ31bqF1cCDEJ5pniSEhIQGpqalnjLLW0tLQqfT1vJqXEoCVHHNonOum/b8MGGEICMXrzaIdjnf0HYWPuCgDAyIxMXPw3WHG8/pEsOLslHp2RCQDwLeVE7tayNZABHMg4AACIBZBTEODQj39fqhZ/R70P31PvwvfT+3jiPWWS24s8vtz1Iio+MTFVFAkRERERkYPMoj9D7drDAMUEW9v+7vaFlPI9mBevR4cOHWRycnJZ4yy11NRUVOXrebN5K0p5Qzx+ArLfn6t6qJ+vD248noajOh3GZmTi3Nk6iuNz79IBcMxi+5tM0Ln58glBCTiddRoA8MWQL5Ac5fj3QEqpeCahbXRb/n2pYvwd9T58T70L30/v44n3tNrW5KbS0ZgkWp5wPs2g2bataPLXn1UYERERERGRlZQyHcAJANcUtxUtLhkCYJfKKTtt+xZpV9ROXuqdPw+X+pzQiXNV2w+fz8PQ7Bw8kH4V4SbHCUF7Y9Xvn/ylsv3Hk84Xn3yx54vYPGYzto3dhhZRqg8ZQAiBOV3mWPY/Hvix0+sRERFR2XAmt5fwz3d+LHbOk9AEOD4iR0RERERUxd4DMEsI8QeASwDmA/hFSnlMpe8nAB4RQowC8BWAEQDaA7izimKlKnY1p1C1vU72pRLPjcyQuBSiLM0468yHlm1pV9UxIjkL5gcDHF3WanG6+4tI6DkGOPw7GsS2wlcaI45nHEfver3RYWkHyKIZ4PWD68PPx6/E+EY2G4mRzUaW2I+IiIjKhknuGswkTRAQkJDodMD5LG6/pk2rMCoiIiIiIqfmAQgHsBnmldJXARgLAEKIMQDelVIGAZZFKW8G8CqAxQCOALjJSUKcvMCzP+1VbR+/9+cSz006o0xyd0kPVNzspv43XtHfVCgw9Uo6FoaHqV4vs951gF8o0OImAEAzAM0imgEAlgxagsW7F6Nvg76I9I8sMTYiIiKqfExy12DZhdmWGQSJ550nuQVncRMRERFRNSClNAKYWfRlf2wZgGV2bSsBrKya6MjTvtp6SrEvpAlDjq7HtaeVFWreHqzBlJ+V5Uey7SZTX/G/Alxx/loRzbIx/qoBF7RafBkS7LyjinYx7fBm3zdLdQ4RERFVLtbkrsEyCzIt2yedrCmZ06gZ/Jo3r6KIiIiIiIiIKsad+1bi/l3fOLT/0cbxNtbHrhxJt9w8y7ZUmQ/kG2KArwTmXHKRCSciIqIagzO5a7DMtP2W7bg8I4o/sziY3AkPNrsVDTPOYubEARBCOLkCERERERFR9aDVCBhN1oz07Qd+d9p3YzOBzvutffUG5fHRGdYJQWc2hCmOhTXKLl+gREREVO1wJncNlvHTQ5btkFxr+/nwWEAIHA2NR2BgyYugEBERERERedq1TaMt2+F5GS77vjlMeSvbdZ9yunawyVzOpCBLi4zjyvKNdTpcVeyvOHVOsT+5zWT3AiYiIqJqgzO5a7DVxnQA5vpx3TZbB3mpGSYg1rwd6Mu3mIiIiIiIqr+cAut07GfWf6jaJ9vX/GeBTvm0avd9EgtutO77FdUoOf1PuMM1hG1+/Kb3ULfRtdgSEI5F2xeh0FSICS0m4MThE2X6HoiIiMgzmAGtwVYF+lu2dTY16MLysyzbgXq+xUREREREVP1tOHLZsp109bRqn1y9+c+uV30BGFT7AIC26M+8K3rnLzjyU6D5DQAAXwAzOswoRbRERERUnbBcSQ1mWUzFbiUVncma8Q7Qa0FERERERFSdZeXbJKw1+U77nYk0z+BuiouIapGpODZkk0mxr7bgZEz/ePNGSALQdGDZgiUiIqJqh9N8awjDlSs48/DDkCaJhNdehQ+u4rvgIACOi6zsD69n2Y4P8wcREREREVF1ZluqRBe2EWkhQJRKWe53BpvnaQWaTAipn4u0f4Mtx8b9ZsLRNoWYlG4+URqFw/lhTy4Bzm8A6ncBfFzM8iYiIqIahUnuGiLtzTeRvW49AOD8i/OQ0HKf5VhYlrLvmrrtLNt6H07WJyIiIiKi6i23wPo0qm/MCgiVWdgAkBZqTlwHmSQ0Po6dlp85b9k25Cnvhfxat4Y2pi4QM6ICIiYiIqLqhBnQGuLKZ59btjN++AE4+pdlf+E71gHh0ZA4SMG3lYiIiIiIao7sfCMgDIAogAYmRGY69vm+s3VmdqDJBI2PybGTjdw05UzteosWVkisREREVP1wJncNdemoP9DQsb1hxtmqD4aIiIiIiKgcUi+nIjj5SQBAynHlDO0Z92hxKRjI9bMmuS9rtdDonEz3LvKlz7XogV2WfZ/o6AqMmIiIiKoTTvmtAUw5OQ5tFzaGAwB0BucDu3uvbVRpMREREREREVWUp7bebdme+5lyhvbpSGWCGwAyNQJCA2j0yr4mI5Ae3AQZsy4grt1wS3tQ376VEDURERFVF0xy1wAn7r5HtX3at0aEZDs/75H+zSopIiIiIiIioornn+c4iUdqHBeQHJxlngiUNOy8ot1UqEFw484I8fdF90jr7a4mIKCCIyUiIqLqxGW5EiHEne5eSEr5SfnDIXuFZ84gd/t21WPd90n80l7Z9lL7UZZtHy0/wyAiIiIiJY7xyeMO/wF8OwUwGYCHD0AKcxK78RmJF5cYSzgZ6Jibh2aFhQAArV3JkszTfgjXmxPa5+Y+bT3gmCcnIiIiL1JSTe5Fdvt6ADoAxc+EaQAUAsgHwAFwJchev8Hl8WeWKgeBf9QzZ72bx4VUWkxEREREVKNxjE9VxmAy4EreFYT7hSM9Px1R/lHAZyMBY4G5w+L+WNxxAgCoJrjXJyuz0x+cPY/OeflOXy9tdzDCb8pAxqpVivbs9evL+Z0QERFRdeYyyS2lDC7eFkIMATAXwHQAG4uaOwN4DcCzlRMelcbG2BTcfE0C8gqNeKhfU0+HQ0RERETVEMf4VFXyjfnosLSDoq1ecD38XJzgBoBTm/F/uvPwy1dfa+j3NtYkd7CEywQ3ABjytChY91+c/vEvRbtG71vK6ImIiKgmKWkmt61XANwlpbT9CPwfIcR0AB8D+LEC46IiaotOOtP5/D4MG5yCyCAO4IiIiIjILRzjU6V5fO3jiv3h601oc/QYtjcPRLtQ5eJC4Vnq18j2tSa577qS7nD8PcMQ9ISyvOPZIx0AnFS01X3L/gEGIiIi8ialKdqcCEBtmcMcAPUrJBpyUHj2rGL/1G09nPb9t+8tTHATERERUWkkgmN8qiRpuWmW7XoXJcasMaHlcQm/FaE4szEMxkJrAjskV/0ah+Kt211z8xTHdjabhvYTFyK8iTJDnrNXmeAGAN9GjcrwHRAREVFNUZok90YAbwghEoobirZfB+C6cDSV2eXFixX7h4d3xEu3qL9tg196sipCIiIiIiLvwTE+VbirueZFIXskWCfoND6rLEdy9WgADnwdBwDQyQj4FTiWK3n9Rg0grInw5gU2ZU66TkWbUc+gfYMIRPZLLjEmodOV6nsgIiKimqU05UruAfANgGNCiNNFbQkA9gO4sYLjIgDSZFLshwwdii/2L0VePcelwee3H42PAjiLm4iIiIhKhWN8qlCJj/1k2b510EHLduMz6jW38676oFBcRl3rpG8Y/PUYPV15L7TqxGko7oK6T7Nsam9/F3h7SLniJiIiopqtNEnuMwCuAdAHQDIAAWAvgNVSSvURC5WL8coVxX7A2DtxaedKwN8xyX2sbQ8I4dhOREREROQCx/hUYQ5dyDRviHwEJz+FlcesxwZsV//rdPLfEKAtcNM6a1LbJ7cAd7e8Fx/u+RAA8MXlPNQxGpUnBsVYNkVMw4oIn4iIiGowt5LcQggtgKsA2kgpfwXwa6VGRQAAmaesOTd15xanfVdO71XZ4RARERGRF+EYnyraJ+uPAwD0kX+7fY7hhB8C8iQOJAh0OGROhPu3b48H2k5F57jOaBDSAPGvpLi8Bif7EBERkVs1uaWURgDHAegrNxyyZcq1rr6ib9gQhTmvO+3rp9NWRUhERERE5CU4xqeKVpzk9o1eVarzHv/SiDybv4XhXepB+3pzdN39I+J1IY4nhDUo1fWbrF9Xqv5ERERU85Rm4clnAcwTQkRVVjCkZJvk1gQEYFDeZQ9GQ0REREReiGN8qnAit45yv4TKN81OA7FXrH20uz8Ess4D6xcCLyYoO4ckABNWOFwjdvbjqtdO3rUTPuHhbkZORERENVVpanLPBNAQwGkhxCkA2bYHpZStKzIwAkw51iS38PeHxmZsuOX6fHRYZV5osv6SJVUdGhERERF5B47xqWJknEE9cR7XanbhojyKdfC3HArIc3FekSZnrdtaX5PzjtP3ABrHuVoRd96JgC5dcPSG4Za2oL59IfR8UIGIiKg2KE2S+6tKi4JU5e3Zbd3+dw/yOlhrzV1OMgA3vYpmXQdC4++vdjoRERERUUk4xqfyWzEL2PgO1prn4OBOjXVRyILL3RB0ojmAdwAAF0KBb7pqcO9K54lsl0lulQR3Mb+mTeGbkoL8ffsAAFGTJ7v/PRAREVGN5naSW0r5dGUGQo4uvPyKZVvm5iHXZkGVDwuGo0tiLya4iYiIiKjMOMancstOAza+o2g65WO9zSy8eg2Cc6xJ6yx/4I82AveudH5JH2dJ7t6zSwwn/oXncXHRIgR27gL/Vi1L7E9ERETeoTQ1uamK6eLjFfs5wvp25ZqC0DExoqpDIiIiIiIisrp81KHpok2SGyYdggqsZRiz/ARMGoGRj2mdXlKjc1LDu2HPEsPxS0lBvYULEXHH2BL7EhERkfdwO8kthNALIZ4WQhwQQuQJIYy2X5UZZG1VeNZamG5zs2TkaqwzuWHyhcZ2n4iIiIiolDjGp3K7esL1cU0BQgqspd4zix9EFer3Mr5hhc6vpeNTrERERKSuNDO5nwUwDsCrAEwAHgGwCMAlAPdVfGgEm1XIW2UdUZQrkZILqBARERFRuXGMT+VjNCh2DXaHTXkJ6HBpv2U/y8967PUbHW9HhcbJLG4A0AWWJUIiIiKqBUqT5B4JYLKU8l0ARgDfSSkfBPAUgOsrI7jarODkScV+FK4i12aRlQd6N6/qkIiIiIjI+3CMT+WTtl+xu8nfT7HvCwNa6Y5Y9uvkWuttr09xvB3Nu+xkMk9CByCqSTkCJSIiIm9WmiR3LIC9RdtZAMKKtlcC6F+BMREAY0aGYj+qeRaO6ay17bo0jKvqkIiIiIjI+3CMT+Wz9lXLpskI3FsnRnE49YZTqHfhgmW/RUBO6a6v9QUm/QlMWOG0xAkRERFRaZLcJwAUr4R4CMCAou2uAHJVz6AyM2VmKfb9IgpxQqez7Ptqfas6JCIiIiLyPhzjU4VI+zcI+7+Kw+SflKXcM7/6BPlXrfcxcYWlKPX+8H5gzgUgvi3gw3KNRERE5FxpktzfAOhbtL0AwNNCiKMAPgbwQQXHVesZr161bO+NaACj3aSFfGN+FUdERERERF6IY3wquzM7AAAmCVzcHQJIget2SYRnmutqj8jIxOmflZN3ND4uam4DaDzkvHUnuE6FhktERETey6fkLmZSysdttr8SQpwE0B3AASnlj5URXG1mzLAmuXOC/HBVo/w8onV066oOiYiIiIi8DMf4VC6ZZwEAW0+FIMimOTgXuBIM3JGRiXz4K04Jb5oNINLpJfXBRTO9u3DdUyIiInJfaWZyK0gpN0opX6uswa8QQiuEeFkIcVEIkSmE+FoIEeXGeVOEEFII8WRlxFVVZI61Vl0v3124qlW+Vf4+/vanEBERERGVS2WP8cnLmAwwGYGgf4IUzQH5QNNTEn77HUssihveQOc6nS37v1xjva8RGptZ3u3uqPh4iYiIyGu5neQWQhwQQrwrhBglhKiKVQ8fAzAcQGcAdYvaPnV1ghCiAYCHAeyu3NAqnynXWgLR36cA6+1WKSciIiIiKq+qGuMLIQKEEIuFEFeEEOlCiA+FEE5nbQgh7hRCrCvqnyaEWCGEaFVZ8VEZFWQj47jj2/jMUiOe+9SIq5tCHc9pPw6L+i2Cn9Z8fzPm//4HXXw8ND4S9a69ZO2ncfuhYyIiIqJSzeR+GUAggJcAnBJC7K/kAfEkAPOllEeklFcBPApgoBAi0cU5HwJ4AsDlSoinSplyrElujY/Et0FBLnoTEREREZVJVY3xFwBILvpqCiAFwGsu+gcDeArmyS4JALYB+NVVYpyqXtriT3F2U7jb/eOm3gIA8NX6YvPYzdg9bjeiYxLReNWvaLLqewTGFlg7RzSq6HCJiIjIi5WmJvf7AN4HACFEEoDeAK4HsATmZHmFfdQuhAgFUB/AVpvXPyyEyADQGsAxlXPuBZAjpVwuhJhSUbF4St7+VMv2ZV+BVF/rauLtYtp5IiQiIiIi8jJVMcYvSkyPBTBUSnm+qG0OgB+EEA9JKfNU4lpkd40XAMyGOUm+vbwxUfnl5mfi4i9HSnVO2KC+qu1Cq4WIawrMPASk/gg07gNoOZObiIiI3FeqkYMQQgOgI8yD3+tgXpTmNIA1FRxXSNGfV+3a022O2cZVH8CTALq4c3EhxCSYZ4ojISEBqampJZxRcdLS0tx6PfnnX5btlQblt9zGr02VxkyuufueUs3A99P78D31Lnw/vQ/fU8+rgjF+MwB+sJnAAvPMbH+YZ3XvcuMafQHkADhUQTFRESnNdbCFEO73L8xDp8+74svSvliA8wUnAQBB0UCHCaW9KhEREZH7SW4hxE8AegC4BOBPAJ8DmCSlPF4JcWUW/WlfxC0MQIZK/w8APCelPO3OxaWU7wF4DwA6dOggk5OTyxhm6aWmpsKd19tns93ihFQcu67FdUiOqbqYyTV331OqGfh+eh++p96F76f34XvqWeUd4wshPgYwzkWX5wH8UrRtO4GleNthAovKazSFebz/sJQy00W/aj+RpbrZn5aHaT+ab6EWDE1Asyjn6wBJkwm4+RbLfvJYbalf79DZKzBcrRk/p5r6npI6vp/eh++pd+H76X088Z6WZib39TDPpF4B4A8Aa6SUaZURlJQyXQhxAsA1AHYAgBCiEcyDYLWZHtcDaC+EeL5oPxRARyHEACllz8qIsTIVz6Yo9ms7Zen0IB3rcxMRERFRhSjvGH8qgJkujufAPFsbMI/R0222AfUJLBZCiOYAVgF4RUr5jqu+NWEiS3Uz8LGfLNvTfjyNY/OGOO17du5cy5sHmBeXLI06HdMR3ror4KMvuXM1UFPfU1LH99P78D31Lnw/vY8n3tPSLDwZCmA0gCsApsO8MM1uIcQbQoibKiG29wDMEkI0FEKEAJgP4Bcp5TGVvvUAtAHQtuhrC4BFAEZUQlyVLm/Pv4r939soHx1sHNa4KsMhIiIiIu9VrjG+lDJLSpnm4isHwH4AeTBPYCnWDkAugAPOri2EuAbmkinzpJQvlfUbpIqR/sXyEvvcP0ULv9atVY+FNcqpMQluIiIiqnncTnJLKXOllKullE9KKXsAaAlzMnkKgK8qIbZ5AH4AsBnmmoBamBesgRBijBAiyya2U7ZfAPIBZBQvbFPT5flak9wzO8yERpTmswkiIiIiInVVMcaXUuYCWArgGSFEjBAiBsAzAD5RW3QSAIQQ3QH8BuBJKeWbFREHlZ6UEufnv4SDfa5zq//ITncj8YvPVY+Ju3+tyNCIiIiIFEpTkzsG5sVo+hT92RTABQBfw/xoY4WSUhphfvTR4fFHKeUyAMtcnNu7ouOpSrKwwLJ9pI7y2LgWrkoeEhERERG5rwrH+NMALIR15vbXAB6yiWM2gDFSyhZFTc/BPMv8NSHEazbXGSSlXFuBcZENk0lCo7FOsLnyySe4/NFHbp27JUlgSIsREBoNmu3cgdydO3F5yScoOH4M9d55F6ibUFlhExEREZWqJve5oq+/ACyAuV4fq8JXAlNurmU7y8+9Vc6JiIiIiMqgSsb4RWVL7ir6Ujv+AoAXbPb7VHQMVLINRy+hW+MoAOaFJs+/OM+t8/5uLvDmDRqMDa4LAND4+iKwUycEdupUabESERER2SpNkrs5k9pVQ+ZZn9ostHmHfh3+vQeiISIiIiIvxjE+WYx+fyOGto7DwtHXwJDm/vqj7w3UQAoBIThBh4iIiDyjNDW5UwFACNFBCHGbECKwaD9QCFGaZDmVIO9f68KTWX7mP9cfO4m40ETPBEREREREXolj/Not2M/xLf5x11lcysqHzM93+zp5vgLXR0+tyNCIiIiISsXtJLcQIlYIsRHAJgCfAYgtOvQagFcrIbZay5iebtnOK1qAPEhKgDMjiIiIiKgCcYxfexmMJmTnG1SPfbP9NExZWW5fK+fYJPSoM7iiQiMiIiIqNbeT3ABeh7leXySAHJv2/wLoX5FB1XZSSst2nh5IKFQffBIRERERlRPH+LXUpewCmKT6scw8g9Mk94P3ahX7x0NiYcxthGA/fUWHSEREROS20iS5+wJ4Qkp5xa79MID6FRcSyfwCy/aZCIGmBQV4y3CDByMiIiIiIi/FMX4t9du+C06PBfpqkZ95VfXYuQiB4JsuQhdogNbPiGc7jgMAZOYVVkqcRERERO4oTZLbH0CBSns0gDyVdiojWWD9MRdqAT8psSJslAcjIiIiIiIvxTF+LTX7m91Oj6VlFWDLoT8d2l++xXz7WNe3EI2HXMD5oVE4HRwDABjUMq5yAiUiIiJyQ2mS3GsBjLfZl0IILYBZAH6ryKBqO9tFXgp9gDPGONzYJcWDERERERGRl+IYvxYyOqtTUuS9v46g7mtfWfbXthAY+bgPNjfVINhoAgAIDTDF8BAA4NVb28Bfr1W9FhEREVFVKM2K6TMB/CWE6AjAF+aFaFoACAXQvRJiq7VMBTZJbi0gTTpcyOBEGiIiIiKqcBzj10KbDl0EbBa2T4wMwLFLOU779/xX4s2i6om/njxtac9CAACgSWxQ5QVLRERE5Aa3ZnILIXQAPgYwDMA6AL8C8IN5QZp2UsrDlRVgbWRbk7vQB4hALsZ1S/RcQERERETkdTjGr53y9h9A2A3XYsV3jyAm5zIA4MkhzZH67EAAQDBycNhvtOq5c44HIkg6zgL303EWNxEREXmWWzO5pZSFQoiGAC5LKZ+q5JhqPaOiXIlAtMxGfJi/ByMiIiIiIm/DMX7tdHT4cMv2kl9fwKAbX0GPJlGWRPW8gPloX7cePofR0u+pMVrckpGFkaYTqtf082GSm4iIiDyrNDW5lwCYWFmBkJUx11qapMAH2GJs7sFoiIiIiMiLcYxfi0ij0aEtUK+1JLh9QrbjsQb58LNbinRffYEIk+O5xRLCOSGHiIiIPKs0NbkDAYwRQlwPYCuAbNuDUsoHKzKw2syQus+ynasHIkPiPRgNEREREXkxjvFrkez1GxzatJkZlm3/hOUAgBCV8txRBudJbq1GlD84IiIionIoTZI7BcC2ou1GdsdcL89Nbhv3/Wg8ZrOf5Q/c0jTBY/EQERERkVfjGL8WMWVlObR1DSpwaGt53PGtj7abBf6VsRcAYOPsvhUUHREREVHZuZ3kllL2qcxACDiSfgSHTu1StGX6A1HBwR6KiIiIiIi8Gcf4tUvW32sd2u7d+S1M+bdC4+traUsPUvYJNxrR3aakIgAsNgxE6rMDuegkERERVQulmclNlexC7gX4W9ecRJ4OgBDQB8V6LCYiIiIiIqr5TLm5uPrV1w7t/gf+xf42bRG2+lt02WfCqD9NOFLHWn7kQLIR75+7jACpnN3908MDIJjgJiIiomqCSe5qJM+QB73Bun8h1Pzn0cyTngmIiIiIiIi8Qu6OHS6Pp/e7ETOKtuOuWBPanU25qFNQ6NBf6LjYJBEREVUfGk8HQFZZhVmKJHdB0UcQHWI7eCYgIiIiIiLyCicm3FWm87R6k/qBwOhyRENERERUsZjkrkZyCnMUSe7CoiR3m5g2ngmIiIiIiIhqvNzdu8t8rjQKx8aQBMBHX46IiIiIiCoWy5VUI1mFWdAZrI8GFviYB5QBPgGeComIiIiIiGq4vNT9Dm3nAsJRJ+dKieceuhSPGOwHQuoC3acB+VeBa8ZVRphEREREZcYkdzXyv4P/Q4xtuRKd+U8hVGZPEBERERERlcBUUIA/Pv8ZKTZt/23SG581ux7PBZ1Ciy/ednn+9DYPYNPcOwApAd6XEBERUTXFciXVyPGM4wjNtu5nBACtQ6/3XEBERERERFSjHZs4CSl71yvanmz9OVKDJqDdqN4uz53dbRKemtjPvMMENxEREVVjTHJXM+GZ1nIlPoVNcVO9GS56ExEREREROZe/caNDm0Znvudo/HlPp+fJ2Bg8++xdGNI6rtJiIyIiIqooTHJXMxFZNjt6f2w5dtljsRARERERUc0lDQbV9v16HY7ofJCucX472Pj/nkfLhNDKCo2IiIioQrEmdzVhNBkBAOGZ1rYNvs0RkFfooYiIiIiIiKgmM+XmOrR93U1geYJ1dvZnGgN8TMo+ScPPQdeuR2WHR0RERFRhOJO7msg1mAegEVnWciWn/aIxoEUdT4VEREREREQ10KkrOVi99zxyr6Q7HFveS3kL+MSdWsV+eus86Pztst5ERERE1RxnclcTuYZcBOZKJF6wtl3xC8YNbeI9FxQREREREdUoFzLz0GP+HwCApldOYIHNsVGPah0WkDwaJ7DgBg2mfW/ChVAgtk0mwIdJiYiIqIZhkruaOJ11Grf9pZwxke3jB8FVzImIiIiIyE0TPtoMALj21HYMO/KPpd3oZ4JRq377908LDf5pYZ7h/d0pCcS1qfxAiYiIiCoQk9zVxI4LO9DihFS05fnoPRQNERERERHVCIf/ADa+CxxYAQDQBi5F3xPbMHPbF4puO+pq1c52UK/QANz4doWHSURERFSZmOSuJhqFNUJ0mrKtXYMIzwRDRERERETVX34W8OmNlt1CABeDHsf8bUaHrrluzJ9ZcfI0dAAQ26KiIiQiIiKqElx4sppYdXwV0gOUbXd0beCZYIiIiIiIqPp7MUGxe3dcDBYvcExwA0Cub8mXq2swAt2nV0BgRERERFWLSe5q4ttD32J3orL+dnyov4eiISIiIiKimiZin/Pp2rYzuSc2vxOfnjmn3lHLkolERERU8zDJXU1E+cWi2WlrTW5Taw3qhPp5MCIiIiIiIqoJzhh88OqhBNy70uS0T67eOqEmNrgemg5aoDj+zMVL5g1jQaXESERERFSZmOSuJoKRhJir1v0DprqI40xuIiIiIiJSk2mdib1+YwwGb5EuOgMFOuv2oEaDEdBmFKJtcuJDs7IrOkIiIiKiKsMkdzVhEnmKfWOYD/Q+fHuIiIiIiMjO788Brzaz7DY/WfIpieetSfAQfQggBL4bsw4vXzMTq08ULTgJAHCdLCciIiKqjphFrS4KLyl2L0ZEeCgQIiIiIiKqtgpygL9etuye9PFR7Wawu9O75pA5ef3R9R9Y2oL1wRjYahxijTaLVYYnVlioRERERFWFSe5q4nLGUcV+QkKMhyIhIiIiIqpYQogAIcRiIcQVIUS6EOJDIYRbtfmEEPOFEFIIMbay46wRdi1X7A6Lj1PtNnqWMvn9bVcNwoxGdIjv7Nj5lg/NC07GtQHa3VFhoRIRERFVFSa5qwGjyYgXlhgVbZEx0R6KhoiIiIiowi0AkFz01RRACoDXSjpJCNEJwCAAZys1upok94p1UwiEZTnvuuAG8+1evg/wQ2eBdK1WvWOrEcCjR4BJfwJanXofIiIiompM/dk2qlJXN/yN2HRlW9th93skFiIiIiKiilQ0Y3ssgKFSyvNFbXMA/CCEeEhKmefkPF8AHwKYBODzqoq32vvtacvmqPhYjFhtcujyd3MBAPinhQb/NBeAMO/7SBf1tn2DKzZOIiIioirEmdzVwLED+x3aAoM4yCQiIiIir9AMgB+ArTZt2wD4wzyr25m5AH6XUq6vvNBqtsN6PfrudExcH44T1h1h3f7+1JmqCIuIiIioynEmdzVQ8M86uFWQkIiIqIjJZEJaWhrS09NhNBpLPsFLFBYWYt++fZ4OgypQWd9TrVaLsLAwREVFQaPhvA1PEUJ8DGCciy7PA/ilaPuqTXvxdoiT63YAcCuAtqWIZRLMs76RkJCA1NRUd08tt7S0tEp/PSklCo25aF20Xwig2Un1mdnB9XIABDm0m655vEp/LjVZVbynVHX4fnofb39PpZQwGAyQrp7A8SJGoxG7du3ydBhUgcr6ngohIISAVquFsPmg3h1McnuYKS8PoWs3KtoC41Sf2CQiIrI4deoUhBBITEyETqcr9QCgpsrNzYW/Pz8a9iZleU+llCgsLMT58+dx6tQp1K9fv5KiIzdMBTDTxfEcWGdrhwJIt9kGgAz7E4QQegAfAbhfSumi4rSSlPI9AO8BQIcOHWRycrK7p5ZbamoqKvP1cgpzMPqn0Th89TD+L8AffXNysdInCM8udfyQc27nCXg18Sy+yF/tcKzBoJmKmd3kXGW/p1S1+H56H29/T48ePYrg4GBERkbWinE+x/jep7xjfCllqcf41XbaixBCK4R4WQhxUQiRKYT4WggR5aTvYCHE70KItKIV29cKIXpWdcxlcfSWEQ5t+wfe7oFIiIioJsnOzkZCQgL0en2tGPgS2RJCQK/XIyEhAdnZ2Z4Op1aTUmZJKdNcfOUA2A8gD8A1Nqe2A5AL4IDKZeMBtACwrGh8nwagHoC3hRDLKvlbqpaW/LsEh68eBgBMj43GVl9f7DzvOFP72ORZ+PTDmah7++vqF+L/F0RENUJeXl6tSXATFSvvGL/aJrkBPAZgOIDOAOoWtX3qpG84gDcBJAGIBvAZgBVCiHqVHWR5FRw+7NDW9Jb7PBAJERHVNCzRQLUdfwdqBillLoClAJ4RQsQIIWIAPAPgEyeLTp4EUB/mUiXFX2cAzAbwYBWEXO28t/s9xf74+FgE+jrO4m7Tsx30Pubfi4XXLayS2IiIqHIwwU21VVnH+NX5zmASgPlSyiNSyqsAHgUwUAiRaN9RSrlMSvmNlDJdSmmQUr4N88yQDlUbcsVokFTtc/NERERERKUxDeZZ28Vf+wE8VHxQCDFbCPEvAEgpjVLKU7ZfAIwArkgpL3kgdo8zmAwAAGGy1mZtfMTxVi6+fRvL9rX1rsX8nvMt+3e3vLsSIyQiIiLyrGpZk1sIEQrz7A3LCuxSysNCiAwArQEcK+H81gAiAeypxDArxZLRKZjn6SCIiIiIiCpQUdmSu4q+1I6/AOAFF+cnVk5kNUOwPhitt1/FtO9N2NRU4JWbNWiyV1vieQMbDsT5nPPIKMjAPa3uqYJIiYiIiDyjWia5YV1l/apdezqcrMBerOjxx68AvCSlPOikT7VYed0kTbB/+OSA/phXrxDsjbx9Vefahu+n9/HW97SwsBC5ubmeDqPKGQyGWvl9e7PyvqeFhYVe+TtOBADSaET+oUNoFNwQ077fBgDodEBi7B8mh74+deo4tGmEBhNaTqj0OImIiIg8rbomuTOL/gy1aw+DygrsxYQQ8QBWAfgVwOPO+lWXldfPZp21LC9vYSrw6hWCvZG3r+pc2/D99D7e+p7u27evVq5AzpXXvU9531OdTueVv+NEALC/Q0fI3Fw8Ydd+w0bp0Lfh119VTVBERERE1VC1rMktpUwHcAI2K7ALIRrBPIt7l9o5RbW61wJYIaWcKqV0HPlVM++ufcWhzcdx/RgiIiIijxk6dCjGjx/v6TCIap2D902CdPMph09fexE+kZGVHBERERHVVOPHj8fQoUO95nXUVMskd5H3AMwSQjQUQoQAmA/gFynlMfuOQohkAH8D+FxKObNqwywbw8WLuO2hnx3am7W9zgPREBERebe33noLDRs2hJ+fH9q3b4+1a9eWeM7cuXMhhFB81VEpB0BEVBkMv5f871SxpqFtSu5ERETkhTjOV+rduzemTp3q0L5gwQIsXbrUAxFVneqc5J4H4AcAmwGcBqAFMBYAhBBjhBBZNn1nAUgAMF0IkWXzNaaqg3bX0VtHOrT91EHgnmsf9kA0RERE3mv58uWYNm0aZs+eje3bt6Nbt24YNGgQTpw4UeK5zZo1w9mzZy1fu3fvroKIS6egoMDTIRCRB312rQZjuzTwdBhERERVztvH+RUpNDQUYWFhng6jUlXbJLeU0iilnCmljJJSBkspb5ZSphUdWyalDLLpO0FKKaSUQXZfyzz3HbimCQx0aFtyvRYhepfrahIREdV4KSkp6NixI7KyshTt/fv3x7333lvhr/faa69h/PjxmDhxIlJSUvDmm28iLi4Ob7/9donn+vj4oE6dOpav6OjoUr32u+++i9jYWBgMBkX76NGjMXz4cADAX3/9hS5duiAoKAihoaHo3Lkz9uzZ4/SavXv3xpQpUzBz5kxER0eje/fuWLlyJXr27Inw8HBERERgwIAB2Ldvn8N59913H2bPno2oqCjExMRg5syZMJmsC9jl5ORg/PjxCAoKQmxsLF544QWH18/Pz8f06dMRGxsLPz8/dOnSBX///bdDfA8//DAiIiIQHR2NBQsWID8/H/fffz/CwsJQv359fPrpp6X6WRLVJtLu3wxXtE3ugo+22t7WERFRLcJxfvnG+e6MsydPnoxp06YhPDwc4eHheOSRRyzj+fHjx+PPP//EokWLLDPUjx07ZjlWXEakrON1d+45PKm6Ljzp9QI6dkDB4cMO7UH6IJXeREREJUt87CePvfaxeUPc7rt8+XJ07twZa9assQy0fvjhB2zatEn1EboXXnhBNdlqa8WKFejZs6dDe0FBAbZu3YqZM5XVzPr3749169aVGOuRI0eQkJAAvV6Pzp0744UXXkCjRo1KPK/YyJEj8eCDD2L16tUYOHAgACA7OxvfffcdPv74YxgMBgwfPhx33303li1bhsLCQmzbtg1ardbldZcuXYpJkyZh7dq1kFJi7969mD59Olq3bo3c3Fw899xzGDZsGPbu3Qu9Xm85b9myZZg2bRrWrVuHHTt2YPTo0Wjfvj1GjRoFAJg5cyZWrVqFr7/+GgkJCXj66afx119/4eabb7Zc49FHH8WXX36JxYsXo1GjRnjttdcwcOBAHDx4EHFxcZbXmTFjBjZu3Ijvv/8e06dPx8qVKzFw4EBs2bIFS5YswT333IO+ffsiPDzc7Z8nkbeTJhNyNmyA8PV1+5yINu7/+0tERDUTx/m1Y5zv7jh7/PjxWL9+PXbt2oWJEyciLi4OM2bMwIIFC3DgwAEkJydbfq7OkvelGa/Hx8dbvj937jk8hUluTxFCsftbG4GecjB0Gp2HAiIiIqoarVu3Rvv27ZGamoqhQ4eioKAADz/8MObMmYOYmBiH/pMnT8bIkeYyX3l5efDz83Pok5CQoPpaaWlpMBqNiI2NVbTHxsZi9erVLuPs3LkzPv74YyQnJ+PChQt47rnn0K1bN/z777+IdHOBt/DwcAwePBjLli2zDH6/+eYb+Pj4YNiwYcjIyEB6ejqGDRuGxo0bAwCSk5NLvG7Dhg3x6quvWvZTUlIUxz/66COEhIRg06ZN6NGjh6W9efPmeOaZZwAATZs2xfvvv4/ffvsNo0aNQlZWFj788EMsXrwYAwYMsFynbt26lvOzs7Px9ttv44MPPsCQIeYbnnfeeQe///47Fi1ahOeeew4A0KJFC8ydOxcAMGPGDMybNw86nQ7Tpk0DAPznP//B/PnzsW7dOst1iAhIbd6iVP0PxuoRGxZQSdEQERGVTlnH+c7G+EDtGee7O86Oi4vDG2+8ASEEkpOTceDAAbz22muYMWMGQkNDodfrERAQUGKN8dKM10eMGAEAuOWWWxTXcHbP4SlMcntI+udfKPaTml7F1rR2HoqGiIioajVr1gz79+8HALzxxhsAgAceeEC1b0REBCIiIgAAubm58Pf3L/XrCbsPl6WUDm32Bg0apNjv0qULGjVqhCVLlmDGjBluv/bYsWMxfvx45OTkICAgAMuWLcOIESPg5+cHPz8/jB8/HgMGDEDfvn3Rt29f3HrrrahXr57La7Zv316xf/jwYcyZMwcbN27ExYsXYTKZYDKZHOoRtm7dWrEfHx+PCxcuWK5RUFCArl27Wo4HBQWhVatWitcpLCxE9+7dLW1arRZdu3bF3r17VV9HCIGYmBjFdXQ6HcLDwy2vTURA/pGjpT5n5tD+eDPA8zOniIiIipVlnF/WMT7gPeN8d8fZXbp0UXx/Xbt2xZw5c5CRkYGQEPdLIJdlvO7uPYenMMldDXzcV4OhQQbsTjOV3JmIiMiJ0jxK6GnNmjXDjz/+iAsXLuDZZ5/F0qVLnT7iVp7HGKOioqDVanHu3DlF+4ULFxxmfZQkKCgILVq0wMGDB0t13tChQ+Hj44PvvvsOffv2xerVq/Hrr79ajn/00UeWxwO///57PPHEE/j2228ts6nVBNqt7TFs2DAkJCTg3XffRUJCAnx8fNC8eXOHRSl1OuUTY0IISw0/KWWJ30txH7UbB9s2tddx9dpEBBwZPFi1/VAckHTWuv/irRocqSNwNUjAdDocjaNZ7pCIyNtxnO/943x3x9kVpSzjdXfvOTyFK5RUA/80FwgxmdC9RaKnQyEiIqoSxTM8nnjiCXTq1AnDhg1z2nfy5MnYsWMHduzYgQ0bNli2bb86dOigeq5er0f79u2xatUqRfuqVavQrVu3UsWcl5eH1NRUSz08d/n6+mLEiBFYtmwZli9fjjp16uDaa69V9GnTpg1mzZqFNWvWoHfv3liyZInb17906RL27duH2bNno1+/fkhJSUFmZqbDIjglSUpKgk6nw4YNGyxt2dnZisVxkpKSoNfrFQvgGI1GrF+/Hs2bNy/V6xGRVYGrGVAS2NXCfIOpCTQiNbQ9rgaZb3YNGa0RG+J+/W4iIqLKVpZxvrMxfm0a57s7zt64caNicsqGDRsQHx9vmcWt1+thNBpL9X24o6LuOSoTZ3J7gJQS8PEBiv4iZPsBvlcEOjdRrzNERETkbZo2bYoLFy7gk08+wbZt21z2LW+5khkzZuCOO+5Ap06d0L17d7zzzjs4c+YMJk+ebOmzcOFCLFy4EKmpqZa2mTNnYtiw3papJQAASApJREFUYahfv75lJkp2djbGjRtXqtcHzI8y9uvXD0ePHsXo0aOh0ZjnGRw9ehTvvvsubrjhBiQkJODIkSPYtWsXpkyZ4va1w8PDERUVhffffx/16tXD6dOn8cgjj8DHp3TDvKCgINx9992YNWsWoqOjER8fj2eeeUYxSA4MDMSUKVPw2GOPISoqCg0bNsTrr7+O8+fP47777ivV6xGRmZQSh/s7f3Ij2x+4rfk5ZEf5wi+8EBfSbgPSbrMcD/LlLR0REVUfZRnnl7VciTeN890dZ585cwbTp0/Hfffdh927d+Pll1/Gk08+aTmemJiITZs24dixYwgKCkJERIQlpvKoqHuOylR9IqlFZH6+JcFdoAUMPgIw6VFoKvkxYSIiIm+QlJQErVaLiRMnokWL0i20Vlq33XYbLl26hOeeew5nz55Fy5Yt8fPPP6NBgwaWPmlpaZbagcVOnTqFUaNGIS0tDdHR0ejSpQs2bNigOO/jjz/GhAkTcPToUSQmJjqNoVevXkhISMDevXvxxRfWdTkCAgJw4MAB3HrrrUhLS0NsbCzGjBmDWbNmuf39aTQaLF++HA8++CBatmyJpKQkvPrqqw4Lw7jjlVdeQXZ2Nm666SYEBATggQceQHZ2tqLP/PnzAQATJkxAeno62rVrh5UrV5Z65gsRAQWnTuNwv34u+1wOFhBaYGrkg/jT1EZx7JEBzSrlEWYiIqKy4jjfrCzjfHfG2WPGjIHRaETnzp0hhMDdd9+Nhx56yHJ85syZGDduHJo3b47c3NwS43dXRd5zVBbhTv1Fb9ahQwe5ZcuWKnu91NRUJEVG4mDPXgCAqwHAxGk++PJoLiJn7EFMiPpqslR9paamulwhl2oWvp/ex1vf03379iElJcXTYZRZVlYWQkJCsGHDBnTq1Mnt88qzKE1leOqpp/DVV19h586d1WoWQ01S3vfU1e+CEGKrlFL9GVfyap4Y45fl/5p9ySX/O76xmUDHNj4YUvCiw7GaVKO1pvHW8UNtxffT+3j7e1qTx/plGedXtzE+UD3H+b1790bLli2xcOFCT4dSIk+M8avHu1TLGDOzLNvBueY/m+IitExwExFRLbFz504IIdCyZUtPh1IuP//8MxYuXFhtBr5E5H3OREA1wU1ERFQdcZxPnsJ3ygOy1qyxbGsk4G8yQeu5cIiIiKrc9u3b0bRpUwQEBHg6lHLZvHmzp0MgohpKurlQ04+dNMDxSg6GiIiognCcT55S/srjVGqGCxcU+0EmE/IFZ3ETEVHtMXXqVOzbt8/TYRAReUyOmzfPuYamlRwJERFRxeE4v/KsWbOmRpQq8RQmuT0gd9cuxX6gSeJn/6EeioaIiIiIiKqaMT3doW1Xn3xsvCXXsv/w3VpcTRuken5KXEhlhUZERERU47BciQfk7t6t2A+UJhzPMHkoGiIiIiIiqmrpX32t2N9TX+C5zgGAENA9ImHUACaNwM1JjfDVxjyH88d3a1BVoRIRERFVe5zJ7QGBXbpYtv/bQyDQJBEeGurBiIiIiIiIqCpIKZG7axey//lH0f7sKA0gBACg0EfApDFvPz6wLWKCfQEAt7avi5YJIbj5mgTc2r5e1QZOREREVI1xJrcHZK9da9lODxQINJlwPEN6MCIiIiIiIqoKx24dibw9exRt+xMAWZTUthekD8KmJ/pVRWhERERENRZncntYo3MSgVKiY5MET4dCRERERESVyHDpkkOCGwDydeoJbgDQa/SVGRIRERGRV2CS28NWttcg0GRCn5asqUdERERE5M0uf/qpavuyPs5vy4RwngAnIiIiIjOWK/EATUAATDk5AIArQUBgoQl+/oEejoqIiIiIiCpD/tGjuPja68hctUr1+NE6TGQTERERlQeT3B4gpbX+dr4OCMqXgM7fgxEREREREVFlOfPoLOTt3q16LE9XxcEQEREReSEmuauYlBLIy7PsF/gAAdIEBER4MCoiIiIiIqoszhLcAPD6jc5LlfSu27sSoiEiIiLyPqzJXdUMBqBoJrdBY15FPcgkAd8QDwdGREREREQVTZpMTo9taiqwPcn5LZmvj29lhERERETkdZjkrmr5+ZbNgqJHEwNNJiCysYcCIiIiIlI3dOhQjB8/3tNhENVoWX/95dBmCjNg5OM+eOUWLQAgJb8ACYUGDGs0TNHv/rb3V0mMRERE5J3Gjx+PoUOHet1rqWGSu6oVFFg3i4rF+NvU6CYiIqKK99Zbb6Fhw4bw8/ND+/btsXbtWpf9ExMTIYRw+BoyZEgVRUxE3qLwxAmHtm0jci3bepPEl2fOYUWGwNPdn1b0SwxJrOzwiIiIajSO86169+6NqVOnKtoWLFiApUuXeiiiqsUkd1WzmcmdXzST2zcwxkPBEBEReb/ly5dj2rRpmD17NrZv345u3bph0KBBOKGSeCq2efNmnD171vK1bds2CCEwcuTIKozctQKbD86JqPqSBqND20vR4ZbtAo0AAIiB86DT6LBqxCqMSRmDv277C0KIKouTiIiopvHWcX5FCg0NRVhYmKfDqBJMclc1lZnc+sxzHgqGiIio6qWkpKBjx47IyspStPfv3x/33ntvhb/ea6+9hvHjx2PixIlISUnBm2++ibi4OLz99ttOz4mOjkadOnUsXz///DNCQkJw6623uvWa7777LmJjY2EwGBTto0ePxvDhwy37f/31F7p06YKgoCCEhoaic+fO2LNnj+o1e/fujSlTpmDmzJmIjo5G9+7dAQArV65Ez549ER4ejoiICAwYMAD79u1zOPe+++7D7NmzERUVhZiYGMycORMmm1rBOTk5GD9+PIKCghAbG4sXXnjBIYb8/HxMnz4dsbGx8PPzQ5cuXfD33387xPjwww8jIiIC0dHRWLBgAfLz83H//fcjLCwM9evXx6effurWz5HIG1x46SXFviFAg2tsFqK38A0CANQJrIPHOj2GcL9wxz5ERETVGMf5ZRvnlzTGBszj7MmTJ2PatGkIDw9HeHg4HnnkEct4fvz48fjzzz+xaNEiy+z0Y8eOOZQQKet43Z17Dk/z8XQAtY5KktuX5UqIiKgizA314Gtfdbvr8uXL0blzZ6xZs8Yy4Prhhx+wadMm1UfpXnjhBdWEq60VK1agZ8+eDu0FBQXYunUrZs6cqWjv378/1q1b51a8Ukp8+OGHGDt2LAICAtw6Z+TIkXjwwQexevVqDBw4EACQnZ2N7777Dh9//DEAwGAwYPjw4bj77ruxbNkyFBYWYtu2bdBqtU6vu3TpUkyaNAlr166FLBo/ZGdnY/r06WjdujVyc3Px3HPPYdiwYdi7dy/0er3l3GXLlmHatGlYt24dduzYgdGjR6N9+/YYNWoUAGDmzJlYtWoVvv76ayQkJODpp5/GX3/9hZtvvtlyjUcffRRffvklFi9ejEaNGuG1117DwIEDcfDgQcTFxVleZ8aMGdi4cSO+//57TJ8+HStXrsTAgQOxZcsWLFmyBPfccw/69u2L+Ph4t36eRN4kqcd5tMkLxDY/PwDAxPSifz+F8999IiKq5TjOd2j3pnG+O2NswDzOHj9+PNavX49du3Zh4sSJiIuLw4wZM7BgwQIcOHAAycnJlp9pdHS06uuVZbzu7j2HJzHJXdXS0iyb9S+a/9RdM8FDwRAREVW91q1bo3379khNTcXQoUNRUFCAhx9+GHPmzEFMjGMJr8mTJ1seH8zLy4NfUWLIVkJCguprpaWlwWg0IjY2VtEeGxuL1atXuxXvqlWrcPToUdxzzz1u9QeA8PBwDB48GMuWLbMMfr/55hv4+Phg2DDzwnIZGRlIT0/HsGHD0LixeQHq5ORkl9dt2LAhXn31VUXbLbfcotj/6KOPEBISgk2bNqFHjx6W9ubNm+OZZ54BADRt2hTvv/8+fvvtN4waNQpZWVn48MMPsXjxYgwYMMBynbp161rOz87Oxttvv40PPvjAUrPwnXfewe+//45FixbhueeeAwC0aNECc+fOBQDMmDED8+bNg06nw7Rp0wAA//nPfzB//nysW7cOI0aMcPMnSuQdVtXrgAcjvkeeTRmSSGNROZN6nT0UFRERUcUo6zjf2Rgf8P5xvrtjbACIi4vDG2+8ASEEkpOTceDAAbz22muYMWMGQkNDodfrERAQgDp16rj8HsoyXnf3nsOTmOSuah98aNnUFY1nfUM4i4mIiGqXZs2aYf/+/QCAN954AwDwwAMPqPaNiIhAREQEACA3Nxf+/v6lfj37urZSSrdr3b7//vvo2LEj2rZtW6rXHDt2LMaPH4+cnBwEBARg2bJlGDFihGUAHxERgfHjx2PAgAHo27cv+vbti1tvvRX16tVzes327ds7tB0+fBhz5szBxo0bcfHiRZhMJphMJodahK1bt1bsx8fH48KFC5ZrFBQUoGvXrpbjQUFBaNWqleJ1CgsLLWVSAECr1aJr167Yu3ev6usIIRATE6O4jk6nQ3h4uOW1ibxZ4Zkziv0fm3TDg/geawOsN/J+pqKnOnXqN/dEREQ1SVnG+WUd4wM1f5zv7hgbALp06aL43rp27Yo5c+YgIyMDISEhbsdflvG6u/ccnsQkd1ULCAAuXVI06XVBHgqGiIi8SikeJfS0Zs2a4ccff8SFCxfw7LPPYunSpU4fcyvPY4xRUVHQarU4d065/sWFCxccZn2ouXDhAr777jssWrSoxL72hg4dCh8fH3z33Xfo27cvVq9ejV9//VXR56OPPrI8Hvj999/jiSeewLfffmuZTW0vMDDQoW3YsGFISEjAu+++i4SEBPj4+KB58+YOC1PqdDrFvhDCUsNPulE6rbiP2k2DbZva67h6bSJvdvph5SPUN/uvBQDEGow4VfR7oYcEbvnQ4VwiIiILjvMd2r1lnO/uGLsilWW87u49hydx4cmq1qWLZXN9svkvq17veMNKRETkzYpneDzxxBPo1KmT5dE+NZMnT8aOHTuwY8cObNiwwbJt+9WhQwfVc/V6Pdq3b49Vq1Yp2letWoVu3bqVGOdHH30EX19f3H777aX7BgH4+vpixIgRWLZsGZYvX446derg2muvdejXpk0bzJo1C2vWrEHv3r2xZMkSt1/j0qVL2LdvH2bPno1+/fohJSUFmZmZDgvhlCQpKQk6nQ4bNmywtGVnZysWx0lKSoJer1csgmM0GrF+/Xo0b968VK9HtY8QIkAIsVgIcUUIkS6E+FAI4XLKlhCisRDiGyHE1aKvDUIInatzqpvc7dsV+8OCzL9jmRrrbVjSNROBFjdVaVxERESVpSzjfGdj/Nowzi/NGHvjxo2KySkbNmxAfHy8ZRa3Xq+HsbgMWgWqqHuOysaZ3FXN5i/AkTpFSW7O5CYiolqmadOmuHDhAj755BNs27bNZd/yliuZMWMG7rjjDnTq1Andu3fHO++8gzNnzmDy5MmWPgsXLsTChQuRmppqaZNS4oMPPsDtt9+O4ODgUr1msbFjx6Jfv344evQoRo8eDY1NYuvo0aN49913ccMNNyAhIQFHjhzBrl27MGXKFLevHx4ejqioKLz//vuoV68eTp8+jUceeQQ+PqUb4gUFBeHuu+/GrFmzEB0djfj4eDzzzDOKQXJgYCCmTJmCxx57DFFRUWjYsCFef/11nD9/Hvfdd1+pXo9qpQUAkou+JIBvAbwGQPUvvBAiGsBaAO8BGA8gC0A7ABV/51aJ9I0bo+DwYct+ntQDAsiy+bcgqONEQMNFJ4mIyDuUZZxf1nIl3jDOL80Y+8yZM5g+fTruu+8+7N69Gy+//DKefPJJy/HExERs2rQJx44dQ1BQkOUeqrwq6p6jslWvaGqD/HzLZkHRT58zuYmIqLZJSkqCVqvFxIkT0aJFi0p9rdtuuw2XLl3Cc889h7Nnz6Jly5b4+eef0aBBA0uftLQ0S+3AYmvWrMGhQ4ewbNky1et+/PHHmDBhAo4ePYrExETVPr169UJCQgL27t2LL774QnEsICAABw4cwK233oq0tDTExsZizJgxmDVrltvfm0ajwfLly/Hggw+iZcuWSEpKwquvvuqwMIw7XnnlFWRnZ+Omm25CQEAAHnjgAWRnZyv6zJ8/HwAwYcIEpKeno127dli5cqVi1Xcie0UztscCGCqlPF/UNgfAD0KIh6SUeSqnzQBwQko516ZtS6UHW8GEr/Xx7Me634vvNE8BUM7kDtaV7eaaiIioOuI4v/TjfHfH2GPGjIHRaETnzp0hhMDdd9+Nhx56yHJ85syZGDduHJo3b47c3FwcPXpU/QdXShV5z1GZhDs1GL1Zhw4d5JYtVTde3nf/VOC33wAA7wzS4Pe2Guzu+BzQfHiVxUAVKzU11ekquVTz8P30Pt76nu7btw8pKSmeDqPMsrKyEBISgg0bNqBTp05un1eeRWkq2lNPPYWvvvoKO3furHazGGqS8r6nrn4XhBBbpZTqz7hSlRFCtAWwHUC4lDK9qC0cwGUAbaSUu1TO2QDgIIAQAD0BnAIwX0qpfjdqp6rH+M7+rznY5zoYzp4FANx//UP4PfIRFAJon1gPUggICGy9Yyt0mhpVhaVW8NbxQ23F99P7ePt7WpPH+mUZ51enMT5QPcf5vXv3RsuWLbFw4UJPh+IWT4zxq8c7VZsUWGdy5xePZet39UwsREREHrJz504IIdCyZUtPh1JmP//8MxYuXFhtBr5EniCE+BjAOBddngfwS9G27apZxdshTs6LAtARwG0AbgHQB+aZ38ellH+rnSCEmARgEgAkJCQoHkuubGlpaaqvJ20WnG/ndwgAcESvgyxaSEpC4vCBww7nkec5e0+pZuL76X28/T0tLCxEbm6up8Mok02bNkEIgcaNG7v9PRgMhmr1/f7444949dVXUVhYiMLCQk+HAwAwmUzV7ufkSnljLSwsLPXvOO/KqpptuZLiJHdQjGdiISIi8pDt27ejadOmCAgI8HQoZbZ582ZPh0BUHUwFMNPF8RwATYu2QwGk22wDQIaT8zIBrJdSflW0v0oIsRLADQBUk9xSyvdgruGNDh06yKqc4ac2o9CYmYkDBQWW/VcC3gUAfBKiLE/izTMRazJvnyVa2/D99D7e/p7u27evWs1sLo29e/eiadOmiIyMdPuc6jaTe+vWrZ4OwYFGo4GPj0+1+jm5Ut73VKfTlfp3XFNyF6pQ+daBbj4/YiAiolpq6tSp2Ldvn6fDIKJyklJmSSnTXHzlANgPIA/ANTantgOQC+CAk0vvgHmBSoeXrMj4K9Ol9z9Q7BdN3uYsIyIi8moc51eONWvW1JhSJZ7CJHcVk3nWdXXydQKjLZNYiIiIiIi8j5QyF8BSAM8IIWKEEDEAngHwiZNFJwHgXQBdhBA3CiE0Qog+APoD+LZKgq4A2Rs3qLZrbdZEeqTDI1UVDhEREZFXY5K7ipnsypX4Gw0ejIaIiIiIqEpMg3nWdvHXfgAPFR8UQswWQvxbvC+l3ABgNID5MJcueRPAOCnl+qoMujx8GyeptqdrtZbtmACWLSQiIiKqCHxaroqZ8vJRPKzN0wEBV097NB4iIiIiospWVLbkrqIvteMvAHjBru2/AP5b+dFVEpsZ25EpmZbtdI11nlGoL5/qJCIiIqoInMldxQr+v717j4+qOvv+/7lyIieBpIFAgsohN8cI1SAHqS3+sIAV9FFQb0BrKGKBqlAEsSqtReT2BC0UVDyCwl3RWvHwUxBqRX1AEbGghUhV1AoqhgKBJEBI1vPHTIaZkIQhkJnM5Pt+vfYre6+99t7XzJrANStrr11y9I7Mw/GQ5CJmWkEREREREQnSkcJC33rSD8p864V+I7nTEtNCGpOIiIhItNJI7hCLLwt88OSemJQwRiMiIiIiIqeac47it9/2bcc2qfCUA9sT4n3lzZs0D3FkIiIiItFJI7lDLLbs6Jzch+LhvZbtwhiNiIiIiIicarvuvS9gOzbB08n9TtZPA8o1XYmIiIjIqdFgO7nNLNbM7jez781sv5k9b2YZtdQfbGb/NLNSM/vYzAaGMt5guPJyYo8cfdBkWRz8sv0lYYxIREREREROJVdezn8WLQooi08pB2B6alFAeVJcUqjCEhEREYlqDbaTG7gVuBToDbTxlj1dXUUzaw/8FfgfoJn35wtm1rb+wwyeO3h0Pu6D8YAZ2Sltaj5AREREREQiyp6lS48pi4lzbIpPYnfZN2GISERERCT6NeRO7uuBe51znzvn9gG3AINr6Li+FvjAObfEOXfYObcU2OgtbzAq/Dq5D3tnQ09I1C2KIiIiIiLR4rtZ/xOwHZ/iuZPzqWbK+0VERETqS4Ps5DazZsAZwAeVZc65z4AioHs1h/Twr+u10VveYFSUlPjWDyZ4fqYm1zgDi4iIiIiIRLgOF+8C4PXTEsIciYiIiEj0igt3ADVo6v25r0r5Xr99/k6roW636k5uZtfjGSlOdnY2BQUFdY3zhLjPP/etlzTx/Pz+22K++09ori/1o7CwMGSfIal/as/oE61tWlZWRmlpabjDCLkjR440ytcdTpdffjkZGRk88sgj9XL+k23TsrKyqPwdl8gV27w55Xv3AlCREI/VMKxo8eDFoQtKREREGrX8/HwKCwt55ZVXQnKd5557rl6vU52G2sm93/uz6j19zfGM5q6ufrB1cc49AjwC0LNnT9e5c+e6xnlCiouK+Mq7XtIEBh0opmP3XiG5ttSfgoICQvUZkvqn9ow+0dqmW7duJSmp8T2wrLS0tE6v+8EHH+T+++/nm2++oVu3bvzxj3/k/PPPr/WY/fv3M336dF544QV27drF2Wefzdy5czn33HPrGn5Eio2NJTY2tt4+b3Vt00rx8fFR+Tsukau8uNi3fuCKC6H88WPq/Lzrzzkn85xQhiUiIhKVlOcH6t+/P7m5ucyfPz+gfO7cuTjnwhRVaDTI6Uqcc3uBrwBf5ud9uGRTYHM1h2zyr+t1tre8wdj98ELfujmwJj8IYzQiIiKNw7Jly5g4cSK33XYbH374Ieeddx4XXXQRX331Va3HXXfddaxcuZLFixfz0UcfMXDgQC688EJ27NgRosiDc/jw4XCHICJerqICysp82weSPfNxO6CJM1/5uB7jQh2aiIhI1In2PP9UatasGc2bNw93GPWqQXZyez0CTDOzdmbWFLgXWOmc+6Kauk8BPc1shJnFm9kIIA9oUPcAFq9d61vv8jW8HacvpSIi0vh06dKFc889lwMHDgSUDxw4kF/+8pen/Hpz5swhPz+fsWPH0qVLF/70pz/RunVrHnrooRqPKS0t5fnnn+eee+6hf//+5OTkcOedd5KTk1PrcVUtXLiQzMxMjhw5ElA+cuRILr30UgDeeust+vTpQ2pqKs2aNaN37958/PHHNZ6zf//+jB8/nilTptCiRQv69evHihUrOP/880lLSyM9PZ1BgwaxdevWY46bMGECt912GxkZGbRs2ZIpU6ZQUVHhq1NSUkJ+fj6pqalkZmYya9asY65/6NAhJk2aRGZmJomJifTp04d33nnnmPhuvvlm0tPTadGiBXPnzuXQoUP86le/onnz5pxxxhk8/fTTQb+PIpGibOc3AdszEt7gl5ktWJmSzCHzjJ5KjksmNT41HOGJiIjUK+X5J5fnB5Nnjxs3jokTJ5KWlkZaWhpTp0715fP5+fmsWbOGBQsWYGaYGV988YVv35AhQ3znqUu+Hsx3jnBqqNOVANwDpAHvA02AVcDVAGY2CljonEsFz0MpzexyYDbwBPA5cFkNHeINRrFVHL+SiIhIkM5afFbYrv3RtR8FXXfZsmX07t2bN99805dovfzyy6xfv54lS5YcU3/WrFnVdrb6e+2116q9LfHw4cN88MEHTJkyJaB84MCBrPX743NVR44coby8nMTExIDypKSkgETzeK688kpuuukmVq9ezeDBgwEoLi7mxRdfZNGiRRw5coRLL72UMWPGsHTpUsrKyti4cSOxsbG1nnfJkiVcf/31vP322zjn2LJlC5MmTaJ79+6UlpYyc+ZMhg4dypYtW0hIOPqwu6VLlzJx4kTWrl3LP/7xD0aOHEleXh4jRowAYMqUKaxatYrnn3+e7Oxsfv/73/PWW29x+eWX+85xyy238Oyzz/LEE0/Qvn175syZw+DBg/nXv/5F69atfdeZPHky7733Hi+99BKTJk1ixYoVDB48mA0bNrB48WKuu+46BgwYQFpaWtDvp0hDd+CrzwK2/9PUWEsSa5OPTsmTmZKJmVU9VEREpEbK8xtHnh9snp2fn8+6devYvHkzY8eOpXXr1kyePJm5c+eybds2Onfu7HtfW7RoUe21TiRfz8rK8r2+YL5zhEuD7eR2zpUDU7xL1X1LgaVVylYAK0IT3ckri4WpcTnhDkNERCTkunfvTl5eHgUFBQwZMoTDhw9z8803M336dFq2bHlM/XHjxnHllVcCcPDgwWMSUvA8SLo6hYWFlJeXk5mZGVCemZnJ6tWra4zxtNNOo2/fvsycOZPc3FxatWrFn//8Z9atW0dOTvD/f6elpfGzn/2MpUuX+pLfF154gbi4OIYOHUpRURF79+5l6NChdOjQASCo+aXbtWvH7NmzfdtdunQJ2P/kk0/StGlT1q9fz49+9CNfedeuXZkxYwYAHTt25NFHH+Vvf/sbI0aM4MCBAzz++OM88cQTDBo0yHeeNm3a+I4vLi7moYce4rHHHuPiiy8G4OGHH+aNN95gwYIFzJw5E4Bu3bpx5513AjB58mTuuece4uPjmThxIgC//e1vuffee1m7dq3vPCLRYMO2Nzndu76xffUd2S2Tj/13TkREJBrUNc+vKceHxpPnB5tnt27dmnnz5mFmdO7cmW3btjFnzhwmT55Ms2bNSEhIIDk5mVatWtUa/4nk68OHDwdg2LBhAeeo6TtHuDTYTu5oN39IDFMSW4c7DBERkbDo1KkTn3zyCQDz5s0D4MYbb6y2bnp6Ounp6UDdH1JYddSkc+64IymffvppfvGLX9CmTRtiY2M555xzGDFiBBs3bjyha1999dXk5+dTUlJCcnIyS5cuZfjw4SQmJpKYmEh+fj6DBg1iwIABDBgwgCuuuILTTz+91nPm5eUFbH/22WdMnz6d9957j++//56KigoqKiqOmY+we/fuAdtZWVns2rXLd47Dhw/Tt29f3/7U1FTOOuvoyKHPPvuMsrIy+vXr5yuLjY2lb9++bNmypdrrmBktW7YMOE98fDxpaWm+a4tEi6+XP+Pr5N6fXH2dg0cOhiweERGRUKtLnn8yDyKPljw/2Dy7T58+Aa+vb9++TJ8+naKiIpo2bRp07HXJ14P9zhEu6uQOofh2bSnb/gUAX7U0Wic0D2s8IiISXU7kVsJw69SpE6+88gq7du3irrvuYsmSJTXe4nYytzFmZGQQGxvLt99+G1C+a9euY0Z9VNWhQwfWrFlDcXExRUVFtG7dmquuuop27dod59UFGjJkCHFxcbz44osMGDCA1atX8/rrr/v2P/nkk77bA1966SVuv/12li9f7htNXZ2UlJSA7aFDh5Kdnc3ChQvJzs4mLi6Orl27HvNQyvj4+IBtM/PN4RfM09Yr61T3xcG/rLrr1HZtkWjRt+Do71HW7up/pzZ9vylU4YiISJRQnh/9eX6wefapUpd8PdjvHOGiTu4QKisp9a1XxDpiE6q/FUNERCTaderUidmzZ3P77bfTq1cvhg4dWmPdk5muJCEhgby8PFatWsUVV1zhK1+1atUxt9vVJCUlhZSUFPbs2cPKlSu57777gjquUpMmTRg+fDhLly6lsLCQVq1a8ZOf/CSgTo8ePejRowfTpk3joosuYvHixbV2cvvbvXs3W7duZcGCBVxwwQUAbNy48ZiH4BxPTk4O8fHxvPvuu7Rv3x7w3Db58ccf+26xzMnJISEhgXfeecdXp7y8nHXr1jFy5MgTup5ItNl3aF/A9oaOMdXWu7i9pugREZHoVZc8vy7TlURbnh9snv3ee+8FjFZ/9913ycrK8o3iTkhIoLy8/IReRzBO1XeO+qRO7hAqP3SQyunlk6yChCZ1uxVDREQk0nXs2JFdu3bx1FNPHfe2wJOdrmTy5Mlcc8019OrVi379+vHwww+zc+dOxo0b56szf/585s+fT0FBga9s5cqVVFRU0LlzZz799FOmTp1Kp06dGD169AldHzy3Ml544YVs376dkSNHEhPj6fzavn07Cxcu5JJLLiE7O5vPP/+czZs3M378+KDPnZaWRkZGBo8++iinn346O3bsYOrUqcTFnVial5qaypgxY5g2bRotWrQgKyuLGTNmBCTJKSkpjB8/nltvvZWMjAzatWvHH/7wB7777jsmTJhwQtcTiTZfFn2J//int7tVP+rqwjMuDE1AIiIiYVCXPL+u05VEU54fbJ69c+dOJk2axIQJE/joo4+4//77ueOOO3z727Zty/r16/niiy9ITU0lPT3dF9PJOFXfOepTw4mkMTh0dPh+bJwjTiO5RUSkkcrJySE2NpaxY8fSrVu3er3WVVddxe7du5k5cybffPMNubm5vPrqq5x55pm+OoWFhb65Ayvt27eP3/zmN3z99dekp6czbNgw7r777oDb+BYtWsTo0aPZvn07bdu2rTGGH//4x2RnZ7NlyxaeeeYZX3lycjLbtm3jiiuuoLCwkMzMTEaNGsW0adOCfn0xMTEsW7aMm266idzcXHJycpg9e3bQI1j8PfDAAxQXF3PZZZeRnJzMjTfeSHFxcUCde++9F4DRo0ezd+9ezj77bFasWOF74rtIY3XfO3dzu9/2/+7eybMulceaNwuo5zj+1EAiIiKRSnm+R13y/GDy7FGjRlFeXk7v3r0xM8aMGcOvf/1r3/4pU6Zw7bXX0rVrV0pLS48bf7BO5XeO+mLBzL8YzXr27Ok2bNgQkmv9s1s3Yso9c9n8dlIFz50zBXqNDcm1pf4UFBTU+oRciSxqz+gTrW26detWunTpEu4w6uzAgQM0bdqUd999l169egV93Mk8lKY+/O53v+Mvf/kLmzZtalCjGCLJybZpbb8LZvaBc65nnU8uESuUOT54/q+ZvWgYk5cfnbeyy3/v5LFmTZmb3jyg7roR60hNSA1ZbFI30Zo/NFZqz+gT7W0aybl+XfL8hpbjQ8PM8/v3709ubi7z588PdyjHFY4c/+THq0tQXHk5FbGxVAAVBgk4iK1+4n0REZFot2nTJsyM3NzccIdyUl599VXmz5/fYBJfEQkf/w7uSiUxgVOW5GXmqYNbRESimvJ8CRe1VIhYbCyL7p7O67t/T1w55JUdgbgm4Q5LREQkLD788EM6duxIcnJyuEM5Ke+//364QxCRBiy7LPBhTLece0uYIhEREQkN5fkSLhrJHUJFh4rBjCNxRlJFhUZyi4hIo3XDDTewdevWcIchInJKFJUVBWxbludZPEMPFEOFZ1xRz8yedP1B15DHJiIiEkrK8+vPm2++GRFTlYSLRnKH0MEjpb71JOc0kltEREREJArsK9vHaX7brTp6Or0TgJJPfsfG319AsybNqj1WRERERE6eRnKHUGl51U7uxDBGIyIiIiIip0JpWXHAdmKTo/NzX9AlWx3cIiIiIvVMndwhdKj8oG89sUKd3CIiIiIi0aBk73cB23HJ5b71Di31oEkRERGR+qZO7hA6VH7It57kKuBQUS21RUREREQkEry6ZUnAdlwTB0C7g0tIS9ZzeERERETqmzq5Q+iw33Qlic5BamYYoxERERERkVOhYu9/fOt7k4+WO2JIS44PQ0QiIiIijYs6uUOorOLodCVJFQ5adQ9jNCIiIiIicrL2HdpH8wNHtwvblAfs/0GKHjYvIiIiUt/UyR1CruJo9psYkwCxcWGMRkRERERETtbolaNJ8+vk7hrrGdjy7JGfANDiNHVyi4iIiNQ3dXKHkLmjT11vEpcUxkhERERERORU+Neef3HZugrfdlriEQDa2PcAtM1ICUtcIiIiIo2JOrlDyR2dkzspXk9ZFxERERGJZOUVnqlJkg4fLYtN8HR4nxWznTN/kEyzJM3JLSIiIlLfNF9GCMXa0ZHcyU1OC2MkIiIiIiJysg6UHSD+iAsoi/F2csde8BvW9L8gHGGJiIiINDoayR0iFRWOGPN78KTFhjEaERERkVNnyJAh5OfnhzsMkZBzztFqT2BZSuYhAJLP+GHoAxIRERGpg/z8fIYMGRLR11Ind4hUOEdy0tG3O7n8SBijERERaVwefPBB2rVrR2JiInl5ebz99tvHPWb//v1MmjSJM888k6SkJM477zzef//9E64jItGrrNzxi9WBg1diKu+VTU4PfUAiIiKNjPL8E9e/f39uuOGGgLK5c+eyZMmSMEV0aqiTO0TiYmOIiSv3bSdmnRPGaERERBqPZcuWMXHiRG677TY+/PBDzjvvPC666CK++uqrWo+77rrrWLlyJYsXL+ajjz5i4MCBXHjhhezYseOE6jQEhw8fPn4lETlh8ZZCty9q+P1KUie3iIhIfVKef+o0a9aM5s2bhzuMk6JO7hAqrSjzrWtObhERaay6dOnCueeey4EDBwLKBw4cyC9/+ctTfr05c+aQn5/P2LFj6dKlC3/6059o3bo1Dz30UI3HlJaW8vzzz3PPPffQv39/cnJyuPPOO8nJyfEdF0yd41m4cCGZmZkcORJ4h9fIkSO59NJLfdtvvfUWffr0ITU1lWbNmtG7d28+/vjjGs/bv39/xo8fz5QpU2jRogX9+vVjxYoVnH/++aSlpZGens6gQYPYunXrMcdNmDCB2267jYyMDFq2bMmUKVOoqKjw1SkpKSE/P5/U1FQyMzOZNWvWMdc/dOgQkyZNIjMzk8TERPr06cM777xzTHw333wz2dnZtGjRgrlz53Lo0CF+9atf0bx5c8444wyefvrpoN5HafjMLNnMnjCzPWa218weN7OkWurHmtm9ZvZvM9tvZh+Z2fBQxhwM5wLn42559j7vmkFqy9AHJCIiEkbK84+qrzw/mDx73LhxTJw4kbS0NNLS0pg6daovn8/Pz2fNmjUsWLAAM8PM+OKLL46ZQsQ/X09PTw86X6/8zpGVlVXjd476ogdPhlCpO/rBTkpoGsZIREQkGm3t3CVs1+5SEHzismzZMnr37s2bb77pS6Refvll1q9fX+0tcrNmzaq2I9Xfa6+9xvnnn39M+eHDh/nggw+YMmVKQPnAgQNZu3Ztjec7cuQI5eXlJCYmBpQnJSX5kshg6hzPlVdeyU033cTq1asZPHgwAMXFxbz44ossWrTId51LL72UMWPGsHTpUsrKyti4cSOxsbU/32PJkiVcf/31vP322zjn2LJlC5MmTaJ79+6UlpYyc+ZMhg4dypYtW0hISPAdt3TpUiZOnMjatWv5xz/+wciRI8nLy2PEiBEATJkyhVWrVvH888+TnZ3N73//e9566y0uv/xy3zluueUWnn32WZ544gnat2/PnDlzGDx4MP/6179o3bq17zqTJ09mzZo1vP7660yaNIkVK1YwePBgNmzYwOLFi7nuuusYMGAAWVlZQb2f0qDNBTp7FwcsB+YA42uo/yvgGuACYBtwKfCsmX3snCuo92iDFPNN4GiutJzKB807iI0PfUAiIhKVlOcrz68UbJ6dn5/PunXr2Lx5M2PHjqV169ZMnjyZuXPnsm3bNjp37ux771u0aFHttSrz9ffee4+XXnopqHy9uLiYSZMm0bFjR5xzNX7nqA/q5A6hg85vupIm6uQWEZHGqXv37uTl5VFQUMCQIUM4fPgwN998M9OnT6dly2NHPo4bN44rr7wSgIMHDx6TbAJkZ2dXe63CwkLKy8vJzMwMKM/MzGT16tU1xnjaaafRt29fZs6cSW5uLq1ateLPf/4z69atIycnJ+g6x5OWlsbPfvYzli5d6kt+X3jhBeLi4hg6dCgARUVF7N27l6FDh9KhQwcAOnfufNxzt2vXjtmzZ/u2u3QJ/HL05JNP0rRpU9avX8+PfvQjX3nXrl2ZMWMGAB07duTRRx/lb3/7GyNGjODAgQM8/vjjPPHEEwwaNMh3njZt2viOLy4u5qGHHuKxxx7j4osvBuDhhx/mjTfeYMGCBcycOROAbt26ceedd1JaWkpubi733HMP8fHxTJw4EYDf/va33Hvvvaxdu5bhwxvcAF45Ad4R21cDQ5xz33nLpgMvm9mvnXMHqzksB3jTOfeJd3u5me0GcoEG08nd5PBB9nTuQVrBJoqaJhNT+Z00rV1Y4xIREQmHuub5NeX4oDzfX7B5duvWrZk3bx5mRufOndm2bRtz5sxh8uTJNGvWjISEBJKTk2nVqlWtr6EyXweYPHlyUPn6sGHDAM9o+KSkpBq/c9QHTVcSIkcqjlCG53bGGOdISNB0JSIi0nh16tSJTz7x9F3NmzcPgBtvvLHauunp6eTk5JCTk0OHDh186/5LUlKNsx4AYGYB2865Y8qqevrpp4mJiaFNmzY0adKEefPmMWLEiICRFcHUOZ6rr76a5cuXU1JSAnhGTAwfPtyX6Kenp5Ofn8+gQYO4+OKLmTNnDv/+97+Pe968vLyA7c8++4yRI0fSoUMHmjZtSmZmJhUVFcfMWdi9e/eA7aysLHbt2uU7x+HDh+nbt69vf2pqKmeddVbAdcrKyujXr5+vLDY2lr59+7Jly5Zqr2NmtGzZMuA88fHxpKWl+a4tEa0TkAh84Fe2EUgCOtZwzKNArpl19U5dMhzPAJ236jXSE5TYtSu9//pntl3bl3P6f350R0zw/waIiIhEk7rk+TXl+MrzAwWbZ/fp0yfgPejbty87duygqKgo6Nihbvl65XeObt261fqdoz5oJHeIxFgMy2PbcfCrdRw0w5qkhjskERGJMidyK2G4derUiVdeeYVdu3Zx1113sWTJkhpvXzuZ2xgzMjKIjY3l22+/DSjftWvXMaM+qurQoQNr1qyhuLiYoqIiWrduzVVXXUW7du1OqM7xDBkyhLi4OF588UUGDBjA6tWref311wPqPPnkk77bA1966SVuv/12li9f7htNXZ2UlJSA7aFDh5Kdnc3ChQvJzs4mLi6Orl27HvNQyvj4wCkWzMw3h1/V+YerU1mnui8X/mXVXae2a0vDZGaLgGtrqXI3sNK7vs+vvHK9ptsbPwfeBj4GKoBDwDXOuRr/6mFm1wPXg2fUV0FB6AZ8X3roeUj2K9j9aUivL6deYWGh2jCKqD2jT7S3aVlZGaWlpb7tth9uDFss/nEEo3379rz22mt8+eWX3HXXXTz++OOUl5dXe5777ruP+++/v9bzLV++PKBTt1JKSgqxsbF89dVXAefeuXMnLVq0qDXurKwsVqxYEZDDX3PNNZxxxhm+44KpczwDBgwgLi6O5557jv79+7N69WpefvnlgOMffPBBxo0bx6pVq1i+fDm33347y5Yt46c//ekx56s87tChQwHnKC8vp6KigtLSUioqKo55vw8dOuQ7Pj4+noqKCo4cOXLMOfyPq6iowMyqfa1Vyw4ePOgrGzJkCFlZWfzxj3/k9NNPJy4ujnPOOYcDBw746lS9VnXKyspO+HdcndwhEmMxdCgrh8ovkgkptR8gIiISxTp16sTs2bO5/fbb6dWrl++WveqczHQlCQkJ5OXlsWrVKq644gpf+apVq3y30h1PSkoKKSkp7Nmzh5UrV3LffffVqU5NmjRpwvDhw1m6dCmFhYW0atWKn/zkJ8fU69GjBz169GDatGlcdNFFLF68uNZObn+7d+9m69atLFiwgAsuuACAjRs3HvMgnOPJyckhPj6ed999l/bt2wOe2yY//vhj3y2WOTk5JCQk8M477/jqlJeXs27dOkaOHHlC15OIcAMwpZb9JRwdrd0M2Ou3DlDTkKIHgf8C2gH/BvrgmbLkgHPu9eoOcM49AjwC0LNnTxfMtD6nxH8+P7bsrCuCmlZIGq6CggK1YRRRe0afaG/TrVu3HncEc0OVm5vLvHnzmDlzJr169ap12rkbb7yRUaNGHXe6kurei6SkJPLy8lizZg2jRo3ylf/9739n2LBhQb1/SUlJZGRksGfPHlavXs199913zHHB1Knt/MOHD+e5556jqKiIVq1aMXDgQGJiAifW6N27N7179+aOO+7goosu4plnnuGSSy455ny5ubkkJCSwYcMGunbtCnjy7PXr1zNy5EiSkpKIiYlhw4YNJCYm+gaYfPjhh2RlZfkG+VTu838dsbGxxMbG+spiYmKIi4sLqFM5KKVqWUJCAklJSezevZuCggIefPBB+vTpQ1JSku87R2Wd6q5Vnfj4+BP+HVcndyiVFR9dj1cnt4iINF4dO3Zk165dPPXUU2zcWPvIlPT0dNLT04Gjc7udiMmTJ3PNNdfQq1cv+vXrx8MPP8zOnTsZN26cr878+fOZP39+wGiBlStXUlFRQefOnfn000+ZOnUqnTp1YvTo0SdUJxhXX301F154Idu3b2fkyJEBie/27dtZuHAhl1xyCdnZ2Xz++eds3ryZ8eNrel7fsdLS0sjIyODRRx/l9NNPZ8eOHUydOpW4uBNLBVNTUxkzZgzTpk2jRYsWZGVlMWPGDMrLjz53JCUlhfHjx3PrrbeSkZFBu3bt+MMf/sB3333HhAkTTuh60vA55w4AB2qrY2afAAeBc4A3vMVnA6V4HipZnTxggXPuS+/2WjN7G7gIqLaTO2xenXps2SXzQx+HiIhIA1CXPL8uOT40vjw/2Dx7586dTJo0iQkTJvDRRx9x//33c8cdd/j2t23blvXr1/PFF1+Qmprq+651svy/c7Ro0YLdu3fX6TtHXamTO5QOlxxdT0iuuZ6IiEiUy8nJITY2lrFjx9KtW7d6vdZVV13F7t27mTlzJt988w25ubm8+uqrnHnmmb46hYWFvrkDK+3bt4/f/OY3fP3116SnpzNs2DDuvvvugCk1gqmzaNEiRo8ezfbt22nbtm21Mf74xz8mOzubLVu28MwzzwTsS05OZtu2bVxxxRUUFhaSmZnJqFGjmDZtWtDvQUxMDMuWLeOmm24iNzeXnJwcZs+eHfRodn8PPPAAxcXFXHbZZSQnJ3PjjTdSXFwcUOfee+8FYPTo0ezdu5ezzz6bFStW+J74Lo2Lc67UzJYAM8zsY2/xDOCpGh46CfB/gVFm9pJzboeZ9Qb6A5PqPeAT9WmVh1vl//8QX/1oNBERkWinPD/Qqc7zg8mzR40aRXl5Ob1798bMGDNmDL/+9a99+6dMmcK1115L165dKS0tZfv27bW8y8Hz/87Rs2fPk/rOURcWzNyK0axnz55uw4YNobnYnG5Q9LVnfeJmSDuz9voSEaL9NqnGRu0ZfaK1Tbdu3UqXLl3CHUadHThwgKZNm/Luu+/Sq1evoI+r6yiPcPrd737HX/7yFzZt2hSyUQyR5GTbtLbfBTP7wDnXs84nl1PGzJKB+cDl3qLngRucc6Xe/bcBo5xz3bzbTYH7gKF45u3+DnjCOVf7BP1eIcvxD5fArCp/vPndXjjOA6+k4YvW/KGxUntGn2hv00jO9euS50dijg8NM8/v378/ubm5zJ8f3rvKwpHjN4wWaCwO+U052OS08MUhIiISZps2bcLMyM3NDXco9e7VV19l/vz5DSbxFQkH51wJ8AvvUt3+WcAsv+0iYJx3abiOVBmI/pNp6uAWEZFGTXm+hItaIVQO7T/ayR2bAElp4Y1HREQkjD788EM6duxIcnL0T9/1/vvvhzsEEQmFtHaeTm4REZFGTHm+hIs6uUPFYuH/PMz3n/2DFs1TNMJDREQatRtuuIEbbrgh3GGIiJyc+CQY8Fu++08Rmf3HQkxsuCMSEREJK+X54fXmm2+GO4SwUSd3qCQkww9HsDvxbFpE8bxRIiIiIiKNRnwSnH8zewoKyGzWJtzRiIiIiDRaMeEOQERERERERERERESkrtTJLSIiIiIiIiIiIiIRS53cIiIiEco5F+4QRMJKvwMiIiISrZTnSGNV18++OrlFREQiUHx8PKWlpeEOQySsSktLiY+PD3cYIiIiIqdUbGwsZWVl4Q5DJCzqmuOrk1tERCQCtWzZkh07dlBSUqJRHtLoOOcoKSlhx44dtGzZMtzhiIiIiJxSzZs357vvvqOioiLcoYiEzMnm+HH1EJOIiIjUs6ZNmwKwc+fORjXKo6ysTCN3o0xd2zQ+Pp7MzEzf74KIiIhItMjIyODrr7/mk08+CXcoIaEcP/qEI8dXJ7eIiEiEatq0aaPr4CsoKKBz587hDkNOIbWpiIiISKCYmBjOOOOMcIcRMsoHo0842rRBTldiZslm9oSZ7TGzvWb2uJkl1VL/52a21lu/0MxeM7OzQhmziIiIiIiIiIiIiIReg+zkBuYCnb1LR6ALMKeW+qcBvwPaANnARuD12jrGRURERERERERERCTyNbhObm/H9NXAdOfcd865XcB04FozS6zuGOfcAufcKudcsXPuEDALaIWnk1xEREREREREREREolRDnJO7E5AIfOBXthFIwjOqe3MQ5xgAlACfVrfTzK4HrgfIzs6moKDgZOI9IYWFhSG9ntQ/tWl0UXtGH7VpdFF7Rh+1qYiIiIiInKyQdnKb2SLg2lqq3A2s9K7v8yuvXD/u07XMrCPwGHCzc25/dXWcc48AjwD07NnThXIidE2mH33UptFF7Rl91KbRRe0ZfdSmIiIiIiJyssw5F7qLmaXiGaVdkxI8o7U/BNKcc3u9x6UB/wF6OOdqHMltZl2BVcBc59x9Qcb0PfBlUC/g1MgACkN4Pal/atPoovaMPmrT6KL2jD712aZnOuda1NO5pQFTji+ngNo0uqg9o4/aNLqoPaNPyHP8kI7kds4dAA7UVsfMPgEOAucAb3iLzwZKgW21HHcOsAK4yzn3pxOIKaRffMxsg3OuZyivKfVLbRpd1J7RR20aXdSe0UdtKvVBOb6cLLVpdFF7Rh+1aXRRe0afcLRpg5uT2zlXamZLgBlm9rG3eAbwlHPuYHXHmFk/4BVgmncqEhERERERERERERFpBGLCHUANJuIZtV25fAL8unKnmd1mZv/0qz8TaAbMMbMDfsv5oQxaREREREREREREREKrwY3kBnDOlQC/8C7V7Z8FzPLbviBEoZ0KGmkefdSm0UXtGX3UptFF7Rl91KYSDfQ5jj5q0+ii9ow+atPoovaMPiFv05A+eFJERERERERERERE5FRqqNOViIiIiIiIiIiIiIgclzq5RURERERERERERCRiqZNbRERERERERERERCKWOrlDxMxizex+M/vezPab2fNmlhHuuATM7F4z+6eZFZnZTjN71MzSq9T5uZl9ZmYlZvaemeVV2d/TzNZ7939mZldX2d/SzP7qbfvvvdfU7189M7MYM1trZs7M2viVqz0jkJldaGbvmtkBMys0swf99qlNI4yZtTKzZd73e4+ZvWFmPfz2q00bMDP7bzN72/t/55Fq9tdr+ymvkoZCn8WGSzl+9FKOH12U40cX5fiRKxrye30QQudW4FKgN1D5H/HT4QtH/JQDVwM/AHrgaZ8nK3ea2Y+Ah4DxQBrwPPCqmTX17m8GvOYtTwPGAQ+bWV+/ayz1/myD5zNwGTC1/l6SeP0aKPEvUHtGJjPrD/wFeADP72ob4DHvPrVpZHoQSAc6AZnABuAV81CbNnx78LThpKo7QtR+yqukodBnseFSjh+9lONHCeX4UUk5fuSK/PzeOaclBAvwJTDGb7sD4IC24Y5NyzFtdTGwz297MfC037YBXwHXerdHe7fNr87TwJPe9Xbetu7gt38MsD3crzWaF6Aj8BnwQ+/730btGbkLsA64p4Z9atMIXIDNwPV+25287ZChNo2cBegPHKlSVu/th/IqLQ1k0WcxchaU40fFgnL8qFpQjh91C8rxI34hgvN7jeQOAe9fNM4APqgsc859BhQB3cMVl9RoAJ5/mCv1ILDtHPCht7xy/0ZveaWNVfbv87a5//62lX/1klPLe8vLE3j+Kri3ym61Z4QxsxSgF3DQzDZ6b2N808x6equoTSPT/cAwM8sws0TgeuAd51whatNIV6/tp7xKGgp9FiOOcvwIpxw/uijHj1rK8aNTROT36uQOjcpftn1Vyvf67ZMGwMyGAWOBiX7Fp1F729V1P6j968tE4Fvn3F+r2af2jDxpeP6/GgvkA1nA63huj2qO2jRS/V8gFvgeOABcjqeNQW0a6eq7/ZRXSUOhz2KEUI4fNZTjRxfl+NFJOX50ioj8Xp3cobHf+7NZlfLmeP4qIQ2AmV0BPApc4pzb6LdrP7W3XV33V+6TU8jMcoCbgRtqqKL2jDyV7+uTzrnNzrnDwP8A8cB5qE0jjnck1mpgG573Phm4G3jbzDJRm0a6+m4/5VXSUOizGAGU40cH5fhRSTl+lFGOH9UiIr9XJ3cIOOf24pmb5pzKMjNrj+evEZtrOExCyMxGAwuBoc65v1fZvYnAtjM8c8Bt8tt/dpVjzq6yv5m3zf33f+Gcq/pXKjl5PwJaAB+bWSGeW2AANpvZBNSeEcf7vn6BZz6uY3ajNo1E6XjmZfuTc67IOXfYOfcYnrykD2rTSFev7ae8ShoKfRYbPuX4UUU5fpRRjh+VlONHr8jI74OdvFvLSU/cfjvwCZ5f+KbAc8CKcMelxQHcBOwGzq1h/4/w3GYzAEgApgDfAU29+5vjuRVnqnf/AG/9vn7nWIXnqdFNvZ+BT4Bbw/3ao3HB89fiNn5LHzxJUk8gVe0ZmYu3Pb4GugJxwC3AN3j+0qs2jcDF+x7/CUjxtukvgMNAe7Vpw1/w3IaaCAwEjnjXE/E8hKbe2w/lVVoayKLPYsNdUI4fVQvK8aNyQTl+1C0ox4/YhSjI78P+JjaWxftheQAoxDMM/69ARrjj0uLAkxyVeX8BfUuVOj8HPgdKgfVAXpX953rLS731rq6yv6W3zfd7PwP3ATHhfu2NYQHa4vfkdbVnZC7e/1hnAN/imZfr78AP1aaRuwBdgFe87/c+PA8ZuVRtGhkLnrkzXTVL21C0H8qrtDSQRZ/FhrugHD+qF5TjR8WCcvyoW1COH7ELUZDfm/dEIiIiIiIiIiIiIiIRR3Nyi4iIiIiIiIiIiEjEUie3iIiIiIiIiIiIiEQsdXKLiIiIiIiIiIiISMRSJ7eIiIiIiIiIiIiIRCx1couIiIiIiIiIiIhIxFInt4iIiIiIiIiIiIhELHVyi4hEATNra2bOzHrW4zWGm5mrr/OLiIiIiMhRyvFFRIIXF+4ARETklPg30BooDHcgIiIiIiJySijHFxEJkjq5RUSigHOuHPg23HGIiIiIiMipoRxfRCR4mq5ERKQBMI9bzOwzMys1s4/M7GrvvsrbFEea2TtmdtDMCsxsoN/xAbcymlm8mc0zs51mdsjM/m1m9/jVTzOzxWa2x3u91WbWrUpMPzezL82sxMxeATKriXuomX3gjWm7md1tZgn19kaJiIiIiEQI5fgiIqGjTm4RkYZhJjAG+BXQFfgfYKGZXexX5z5gHvBDYBXwopll13C+m4DLgP8G/gu4CvjEb/8ioDdwKdALKAFWmFkSgJn19tZ5xHu9l4EZ/hcws0HAUmA+0A34BTAcmHVCr1xEREREJDopxxcRCRFzTs8XEBEJJzNLwTPP3kDn3Nt+5X8EOgITgO3AHc65u737YoAC4Fnn3B1m1tZb51zn3AYzm4cnKb3QVfmH3sz+C9gG/MQ595a3rBnwFXCzc+4xM/tfoIVz7qd+xz0GjHHOmXf7LWCVc+4uvzr/B1gCnFb1uiIiIiIijYVyfBGR0NKc3CIi4dcVSMQzysI/aYwHvvDbXle54pyrMLP3vMdWZxGekSDbzOx14FXgNedcBdAFqKhyvn1m9pHf+brgGdnhbx2ekSiV8oBeZjbNrywGSAJaAd/UEJuIiIiISLRTji8iEkLq5BYRCb/KqaOG4hlp4a8MsBM9oXNuo3fkx2Dg/wMWA5vM7KfHOV9lAh7MNWOA3wPPVbPv++CjFRERERGJOsrxRURCSJ3cIiLhtwU4BJzpnHuj6k5vIgvQB3jDW2Z45tn7S00ndc7tx5OcPmdmi4B3gRzv9WKAvkDlrYxNgbOAJ/1i6lPllFW3NwKdnXOfBvEaRUREREQaE+X4IiIhpE5uEZEwc87tN7MHgAe8ie1bQCqehLMCeN1bdbyZbQM+wjOH35nAQ9Wd08wm47mV8B94RoqMBIqAr51zJWb2Ip6H3lwP7AXu9u7/X+8p5gFrzew3eJLs/ngecuNvBvCKmX0JPAscAXKBXs65W+r6foiIiIiIRDrl+CIioRVz/CoiIhIC04E7gSnAP/HMtTcMz4NmKt0KTAY24blF8TLn3Nc1nG8/MBVYj2c0xg+Bi5xzJd79o737XvL+TAYGO+dKAZxz7+KZm288sBm43Bufj3NuJXAxcIH3HOu9MVa9HVNEREREpDFSji8iEiKmB+OKiDRsVZ+qHuZwRERERETkJCnHFxE5tTSSW0REREREREREREQiljq5RURERERERERERCRiaboSEREREREREREREYlYGsktIiIiIiIiIiIiIhFLndwiIiIiIiIiIiIiErHUyS0iIiIiIiIiIiIiEUud3CIiIiIiIiIiIiISsdTJLSIiIiIiIiIiIiIR6/8BEG8HJNbGWkMAAAAASUVORK5CYII=", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "N = 100\n", + "fig = plt.figure(figsize=(25,6))\n", + "plt.subplot(121)\n", + "for i, e in enumerate(gamma):\n", + " rnd = rewards[i][\"vs_random\"]\n", + " rnd_conv = np.convolve(rnd, np.ones(N)/N, mode='valid')\n", + " plt.plot(range(1, len(rnd_conv)+1), rnd_conv, label=f'$\\\\gamma$ = {e}, vs random')\n", + " plt.xlabel('episode')\n", + " plt.ylabel('reward')\n", + " plt.legend()\n", + " plt.grid(True,'major',linestyle='-',linewidth=0.5) \n", + "\n", + "plt.subplot(122)\n", + "for i, e in enumerate(gamma):\n", + " opt = rewards[i][\"vs_opt\"]\n", + " opt_conv = np.convolve(opt, np.ones(N)/N, mode='valid')\n", + " plt.plot(range(1, len(opt_conv)+1), opt_conv, label=f'$\\\\gamma$ = {e}, vs optimal') \n", + " plt.xlabel('episode')\n", + " plt.ylabel('reward')\n", + " plt.legend()\n", + " plt.grid(True,'major',linestyle='-',linewidth=0.5) \n", + "\n", + "plt.suptitle(r'Effect of $\\gamma$ when training SARSA against itself')\n", + "# plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### elig. trace decay $\\lambda$ experiment for SARSA against itself" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "100%|██████████| 10000/10000 [02:40<00:00, 62.24it/s]\n", + "100%|██████████| 10000/10000 [02:53<00:00, 57.59it/s]\n", + "100%|██████████| 10000/10000 [02:46<00:00, 60.01it/s]\n", + "100%|██████████| 10000/10000 [02:47<00:00, 59.71it/s]\n" + ] + } + ], + "source": [ + "num_episodes = 10_000\n", + "gamma = [0.5, 0.7, 0.9, 0.99]\n", + "rewards = [None, None, None, None]\n", + "for i, g in enumerate(gamma):\n", + " rewards[i], _ = run_experiment_shareq(env, num_episodes, classic=False, alpha=0.2, gamma=0.9, lambda_=g)" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "N = 100\n", + "fig = plt.figure(figsize=(25,6))\n", + "plt.subplot(121)\n", + "for i, e in enumerate(gamma):\n", + " rnd = rewards[i][\"vs_random\"]\n", + " rnd_conv = np.convolve(rnd, np.ones(N)/N, mode='valid')\n", + " plt.plot(range(1, len(rnd_conv)+1), rnd_conv, label=f'$\\\\lambda$ = {e}, vs random')\n", + " plt.xlabel('episode')\n", + " plt.ylabel('reward')\n", + " plt.legend()\n", + " plt.grid(True,'major',linestyle='-',linewidth=0.5) \n", + "\n", + "plt.subplot(122)\n", + "for i, e in enumerate(gamma):\n", + " opt = rewards[i][\"vs_opt\"]\n", + " opt_conv = np.convolve(opt, np.ones(N)/N, mode='valid')\n", + " plt.plot(range(1, len(opt_conv)+1), opt_conv, label=f'$\\\\lambda$ = {e}, vs optimal') \n", + " plt.xlabel('episode')\n", + " plt.ylabel('reward')\n", + " plt.legend()\n", + " plt.grid(True,'major',linestyle='-',linewidth=0.5) \n", + "\n", + "plt.suptitle(r'Effect of $\\gamma$ when training SARSA against itself')\n", + "# plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "interpreter": { + "hash": "4369559244255f10d34bca352df9b3f8794934e60b17f3451fa3b0f2f96527a8" + }, + "kernelspec": { + "display_name": "Python 3.8.8 64-bit ('base': conda)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.8.8" + }, + "orig_nbformat": 4 + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/main_notebook.ipynb b/main_notebook.ipynb new file mode 100644 index 0000000..b8e6c20 --- /dev/null +++ b/main_notebook.ipynb @@ -0,0 +1,1349 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "from nim_env import NimEnv\n", + "from utils import compute_nim_sum, optimal_policy, random_policy, evaluate_fixed_opt, evaluate_fixed_random, evaluate, view_Q_table\n", + "import random\n", + "import matplotlib.pyplot as plt\n", + "import numpy as np\n", + "# from agent import RLAgent\n", + "from sarsa import RLAgent\n", + "from sarsa_lambda import SARSA_LAMBDA\n", + "from montecarlo import MonteCarlo\n", + "from tqdm import tqdm\n", + "import pandas as pd\n", + "pd.options.display.float_format = '{:,.3f}'.format\n", + "\n", + "# plt figure setup\n", + "from matplotlib import rc\n", + "\n", + "plt.rc('axes', labelsize=14) # fontsize of the x and y labels\n", + "plt.rc('axes', titlesize=14)\n", + "plt.rc('xtick', labelsize=13) # fontsize of the tick labels\n", + "plt.rc('ytick', labelsize=13)\n", + "plt.rc('legend', fontsize=14) # legend fontsize\n", + "plt.rc('figure', titlesize=14) # fontsize of the figure title\n", + "plt.rc('lines', markersize=7)\n", + "plt.rc('lines', linewidth=2)\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## 1. SARSA vs fixed policy\n", + "\n", + "SARSA learns by playing first against the fixed policy, then the performance at each epoch is evaluated by playing 10 times against fixed optimal and random (starting first 5 times / 10)" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "heaps = [7,7,7]\n", + "env = NimEnv(heaps)\n", + "\n", + "\n", + "def run_experiment_against_fixed(env, num_episodes, which=\"optimal\", alpha=0.2, gamma=0.9, opt_noise=None):\n", + " player0_rewards = {\"vs_opt_1\": [],\n", + " \"vs_random\": [], \n", + " \"vs_opt_12\": []}\n", + " agent0 = RLAgent(ini_q=0.0, epsilon=0.1, alpha=alpha, gamma=gamma) # RL agent for player 0\n", + " # agent1 = RLAgent() # RL agent for player 1\n", + "\n", + " # Defining the fixed policy to play against\n", + " if which == \"optimal\":\n", + " if opt_noise is not None:\n", + " fixed_policy = lambda heaps: optimal_policy(heaps, randomness=opt_noise)\n", + " else:\n", + " fixed_policy = lambda heaps: optimal_policy(heaps, randomness=0.2)\n", + " elif which == \"random\":\n", + " fixed_policy = lambda heaps: random_policy(heaps)\n", + "\n", + " for episode in tqdm(range(1, num_episodes+1)):\n", + " heaps = env.reset() \n", + " env = NimEnv(heaps)\n", + " \n", + " winner = None\n", + " done = False\n", + "\n", + " action = None\n", + " reward = None\n", + " old_0 = (None, None) # old state/action for player0\n", + " old_reward = None\n", + " i = 0\n", + " while not done:\n", + " \n", + " action = agent0.decide(heaps)\n", + " next_heaps, winner, reward, done, _ = env.step(action)\n", + " if i > 0:\n", + " agent0.learn(old_0[0], old_0[1], old_reward, heaps, action)\n", + " if done:\n", + " agent0.learn(heaps, action, reward[0])\n", + " break\n", + " \n", + " adv_action = fixed_policy(next_heaps)\n", + " nextnext_heaps, winner, adv_reward, done, _ = env.step(adv_action)\n", + " if done:\n", + " agent0.learn(heaps, action, adv_reward[0])\n", + " break\n", + " \n", + " old_0 = heaps[:], action[:]\n", + " old_reward = adv_reward[0]\n", + " heaps = nextnext_heaps[:]\n", + " i += 1\n", + "\n", + " r0 = evaluate_fixed_opt(agent0, 10, randomness=0.0, alwaysfirst=False)\n", + " player0_rewards[\"vs_opt_1\"].append(r0)\n", + "\n", + " r1 = evaluate_fixed_opt(agent0, 10, randomness=0.2, alwaysfirst=False)\n", + " player0_rewards[\"vs_opt_12\"].append(r1) \n", + "\n", + " r2 = evaluate_fixed_random(agent0, 10)\n", + " player0_rewards[\"vs_random\"].append(r2)\n", + " \n", + " return player0_rewards, agent0" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### 1.1 SARSA vs optimal policy" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "100%|██████████| 10000/10000 [01:57<00:00, 85.09it/s]\n" + ] + } + ], + "source": [ + "num_episodes = 10_000\n", + "player0_rewards, agent = run_experiment_against_fixed(env, num_episodes, which='optimal', alpha=0.2, gamma=0.99)" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "r0 = player0_rewards[\"vs_opt_1\"]\n", + "r1 = player0_rewards[\"vs_opt_12\"]\n", + "r2 = player0_rewards[\"vs_random\"]\n", + "N=100\n", + "r0_conv = np.convolve(r0, np.ones(N)/N, mode='valid')\n", + "r1_conv = np.convolve(r1, np.ones(N)/N, mode='valid')\n", + "r2_conv = np.convolve(r2, np.ones(N)/N, mode='valid')\n", + "fig = plt.figure(figsize=(12,6))\n", + "plt.plot(range(1, len(r0_conv)+1), r0_conv, color='b', label='vs optimal(0.0) (alwaysfirst)')\n", + "plt.plot(range(1, len(r1_conv)+1), r1_conv, color='r', label='vs optimal(0.2) (notalwaysfirst)')\n", + "plt.plot(range(1, len(r2_conv)+1), r2_conv, color='g', label='vs random(0.2) (notalwaysfirst)')\n", + "plt.legend()\n", + "plt.xlabel('episode')\n", + "plt.ylabel('reward')\n", + "plt.grid(True,'major',linestyle='-',linewidth=0.5)\n", + "plt.grid(True,'minor',linestyle='--',linewidth=0.25) \n", + "plt.title(r'SARSA trained against $\\epsilon$-greedy optimal policy ($\\epsilon=0.2$)')\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.4" + ] + }, + "execution_count": 1, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "import numpy as np\n", + "np.mean([1]*7+[-1]*3)" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + "
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\n" + ], + "text/plain": [ + "" + ] + }, + "execution_count": 11, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "view_Q_table(agent.q, 5)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### 1.2 SARSA vs random policy" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "100%|██████████| 10000/10000 [01:40<00:00, 99.64it/s]\n" + ] + } + ], + "source": [ + "num_episodes = 10_000\n", + "rd_player0_rewards, agent = run_experiment_against_fixed(env, num_episodes, which='random', alpha=0.2, gamma=0.99)" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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WIxQbT2z0mD8mPsarcq22nd3Gi4teJN4Sz4WbF7gUfckpT9aPsrpsgf775N8cuHQAi7YQ8mVIkttadmAZIV+GeHzvzNw102X6/kv7nfbtRswNbsbeBKDj/I5E3ook06hM5Pk0D1prTl07RYvZLRi0ahDdl3RPk1e9JCAXQggfuZNARqScI1eOUGhcIXae30mvpb3Yd3Efyw4s4+fdP5N5dGZT3v9O/0f/3/u7DQIt2mILlI5FHvO6DvYtqY6B5+zdsxn3zzgqTahE6zmt+ffUvwCcunbKtq1JWycB8NjUxxi1bpTb7YxcN9Jl+stLX0aNUNT6oRarj6zm7PWznLl+xhT4qRGKK9FXbOu8/tvrqBGKkC9DeG7Bc/y852eXZb/9x9uoEYpPN35K1YlV+eLvL4iNj+Xa7WtOAdGkLZNYc2QNF29eNKVP2z6NHkt6OJW9+shqr7qPfLbxMz5e/zE7zu1g9ZHV5PssH2qEouC4gk55M4zM4JQWb4nnj5N/mNJyjs1Jvs/yceLqCdrPb+/Uanzuxjnb6yH1h6CHaTa9vInIdyJd1nHClglJ7gfAqL/M57fetHpury5UnVgV/9H+DF41OMly4yxxnL1+lhrf12DGrhlkHJWR4M+D3eb3G+nH//77HzN2zuDa7WtM3zGdulPrUubbMk7HsE3ZNgB0rtQZy4fOP3jK/a+cy238e+pft+8rgD+P/mmat//BeuXWFXJ/kpt4HU/krUi6LOpCs5nNTPk3ndrktmxfUfdrX5uUUrNmTb1ly5Z7vt3w8HDKli17z7cr7j051+lHcs71Ez89wZ9H/6RycGV2vrLzrrb75T9fEmuJZXDdpL980xuLtuCnnNueWs5uyfKDy5NdXscKHZnbfq7tXGutuXDzAgW+KGDL06ZsGxY9t4gjV45w/fZ1qhSoAsCu87sY+udQcmbJyXMVnqNIziJUmVjlznfOhYF1BvLZk5/Z5mPjYwn5MoQLNy/cddmDHxvMiWsnmLNnjtMyPcwcS4xYO4Lh64bf0XZiP4glo19Gzt04x0NfPGRLr1ekHhtObPC4XXuXoi4R9FlQsrb9weMfMLKR8ePl4s2L5P88f5LrNC3RlNntZrP22FpWHl5p6q7hWL/rt68zf998MmfIzLh/xrH93PYk9wPg4/Uf8/6f7zulVytQjW19tpnSzt84b3o/Wq3sspKmDzc1pf176l8enfKox23HDI0hIirC5Y8YT1zt05w9c3jhlxdMaTv67LB9RgAuR18m76d5TXleqvoS79R7h6dnPc3hK4cZ+8RY6hWpR0iOEIrmKooa4d2NtlZPPvwkf3T5wyk9tb+vlVJbtdY1XS6TgFwCcpEyrJ8lxzvwH+RzHRMfQ4HPC1A8d3H+e/k/Mvg5tzClF1GxUQR+FAhA/IfxLoNAK601fiMTl+/pu4cK+Svc0XZj4mPwH+0PwM33b5I1U1aP2/V2hIjkrr/lzBYeyvYQhXIUcloWHRtN1o+Mel0abIxUcS80+akJa46ucfrCB7z+Ap/Tbg7P//K8KS20WygFbhUgZ6GcLoOU0nlLs//1/eT9NC+Xoy8zocUE+tToYzrnjnJnyc2VW0Yr9NH+Ryk+vrhX9XOlZ7WeTH7G6ILT7/d+fPPfN6ZleQPy8uojr1JsfLE73oYrubPkZucrOxn912hTdx9PZredTaeFnUxpHcp3YF6HeXy16StTK7g1wPvj0B88NespIDF4d+T4GXPnaP+jxFniKPVNKVua5UMLSim3QbC3AjIGEDXE/U2bu87vsv0gu/n+TQIyBtg+X1prhq8dzkPZH+Kxwo95/OF2efBlcgfkBuB23G2yjHE/ikncB3G2/9PeHKM3H32Tcc3GAUY3H2+D8sh3IsmZJafb5aP/Gs0HoR/Y5vf03cOov0Zx/OpxU+t1Tv+cRL4baZuftn0aL/36kqms0G6htj7+SdnRZwdVJ1UlT0AeIgZF3PPva08BuXRZESIFxMTH4DfSj1Y/t/J1Ve4Zi7bgP9qfK7eusO3sNqd/kumNNRgHXF5it+r3ez+nL8GKEypyK+4WxyOPczzyOGC0zk3ZNoW1x9Zy9dZVt+X9sDWxNe78jfNu8205swW/kX4UH1/cbXmx8bGsOLSCXed3mdIt2kKnXzrhN9KPFxe9yL+n/iXsYhh9l/VlyJohqBGKR354xHTjlb03fn/D9jrvp3mxaAs7z+1k06lNnL52mjhLHAvDFrL7/G639U+u3w7+Zru5y360iy1ntpiC8UcKPuLyUjrAH13+oGOFjvz6vLn/dqMfG/HP+X/cBidXb13lcvRlLkdfBox+3q/99prbuj5d6mkiBkfQpmwbXqr6EsVyFeOjxh8luY8hOYy+uo55p2yfQnRsNHWm1DEF4wCTn5nMJ00/oWiuohx64xBFchZJcjvudK/a3TR/5dYVinxVxOtgPHpINM9XfN4pff6++agRyhaMty/f3nSOmpVM7H7g7rNmH2A72tp7K5cGX+LEgBMUy1WMknlKcvLNk7blb698myNXjjgF44feOET2zNnJE5CH8NfC2fXKLseiTf7p6blff4V8iT/CAz8KxG+kn9ENacskwiPCGfnXSPou7+sUjOthmsP9Dtvm83yah6X7l6JGKI/BOEDGUcaPlx3ndrgMxhd0WGB7PaLhCFswDvBQ9oeY234udULqOK1XKHsh23CEV9654jEYBxj6+FD61+5vm684oSJz9841BeNPPvykKRgHqP5Qdaey7IPxjS8l9qvf+cpOaheqbcpbObgyM5+dybru6zzWzxekhVxayEUKyPNJHlvrln0LBKTcuZ6ybQpBWYNoXbY1AL8f/J3F4Yv55ulvyJwhcxJrp7yZu2bSdVFXU5q7y64WbWHHuR1ULVDVY8txWmQfvEUMiiBv1rxOeRwvzz9W+DHTF4NVbHysU99kq0r5K7H7ghGQruu+jgbTG5iWuzq2rlqsrK17nvajYbGGhHYLRWvNplObKBtUltwBuU15CmQrYOoL6y1X9UzO5eTjA47fVZAIRr9fa+AB0KBoA9Z2X+uyLtbPa2x8LHsu7KFKgSrsOLeDKsFVTJ/jCzcveOxXC5AnII8tCE+OmKExZMrg+cbGCzcvsDh8MYWyFyJXllzULVKX6NhoDlw6YGv9/3Tjp7yz+h2X67cq3YoZz85wGShdu32NShMq8WLlF1l5ZCX5A/PzXr33GPLnEIrnKs76E+s5dPmQaZ3qD1Vna++t1J1al79P/u223mfeOsOVW1con688N2NusvvCbgIyBlAmqIxtPOqJWya6HTkDYN+r+yiXz9zX2P48ruyykseLPs7+S/upHFyZQ5cPmQLyg28cpGSekmw9s5ViuYq5/Aw7luno/XrvM+aJMaY0i7a47Hfeu3pviuQswvv130/yilRyu1qMbjSaIY8PAeCRHx5hyxn38ctnTT8jODCYDhU6EDAmIMmyQ7uF0rBYQy5FXeLIlSM8UugRj/nn7plru3oU/lo4ZYLKJGNPDJ72/+q7V51uhPX0PzSTXyZuD71NyW9KUv2h6szvMB+tNY1/aszaY2v57+X/ktwn6bLiQxKQi7vlqr+efVCSEuf64KWDlP62tG3e8qHF1roxvMFwhjUc5nK93ed3U3liZZZ3Ws7TpZ6+qzo4yv1Jbqfhuv588U8K5SjEnD1zCMgYQL/a/fhu83csP7icNUfXUCJ3CVPLjjv7I/YzedtkBjw6wGUXiOTYeW4nE7ZMYHTj0QRlTV5/0jhLnNsRICa3mkzP6j1N3TGsmpZoysquK53WyTk2p2moufpF6tvG503KgdcPUCqvudXvw9APnW70yuSXiZgPnEdXcPzis3xoodC4QrZhxcY0HsOQP4d4VRdP+tTow1dPfWULtgasGOD1UHEA2TNn59p7dz4cn9aa1357zelGOWtXGcfjkFTfXStPgYB9WUkFWNkzZ+d6TOJwhtt6b6PaQ9W8qoM3XG2/ecnmzGk/x+0oH0k5f+M8kbciKRNUhtj4WDad2kTtkNpkzpDZ1s+6S+UuTqNiODZOeCPo0yCn0T1cnaNZu2bRZVEX2/zjRR/nr+N/OeVb32M99YrU82rbY/4aw9DQoU7p+zruo1w51zcf2h/vlqVb8uvzvyarW9js3bPpvLBzkvneqPUG458abyp71eFVPDnzSZf5HR/A882/39BvRT+XefMH5ufPF/+8425zd8Ndt5m/uv9F/aL1Xa5z8NJB3v/zfRbsW2BKvzDwAvkC891VfaTLihD3qdj4WJc3z+y7uC9Ft9N+fnvTvP0/sOHrhrt9uETliZUBaDG7RZIjesTGx3LkyhGv6nPq2imXY+c2/qkxZb4tw7C1wxi8ejBZxmThrZVv2boOHLlyxKmlzZW+y/vy+T+fE/JlCLN3z+bhrx92+zAITyKiIqg6qSqTtk6i4fSGfPvft3SY38E0YoQnU7dPdbvs5aUvEx4RTsufW9rSauWvBcCqI87jJN+IuWEKxue2n8tfPf4ip7/nS7tWH2/42DR/6topp2AcINYSy82Ym6a0S1HOw5e9u/pdWzAOpEgwDjBp6yTeWZXYSmsfjNtfDnfnesx1/Ef7s+3stiTzurLm6BqXo1bk/TQvT818ypS29IWlXpebKUMm9vTd49QNoWbBmoS/Fs6x/scAnILemc+ag9Szb5/l+IDjVH+oOn+/9HeKBuNgBPiOfuv82x0H4wDB2YJtrZ+ZMmSiftH6tqty+QLzoYdpZjw7g2fKPGNbZ9+r++7onpILgy6wskvij9mtvbe6zNe5cmeK5ixqm3cVjFcJruJ1MA7YWp6tPnz8Q+NHlocAu9nDRveZ4rmKs/SFpcm+R8O+y85nTT9z6g5ycdBF9DDN182/diq7YbGGPJTtIVPanHZzuDT4ktPTMN+o/QbfNv/WafvDGwznxIATPgnGwbjnqlOlxHsIfuv0G9FDot0G4wCl8pZifof5HOl3hAr5KnCs/zH0MH3XwbivSQu5tJCLu+DpEjHAj21+pHKGylStWNWWtvPcTqpOSpzvX7s/Xz31ldsyNp3aRJ0pzn32HOlh2uOoAE1KNGFVV/cP1Bi1bhQfrv2Qb5p/w+u1Xnebz7E7wKquq2g6o6nb/K5MbDGRmgVrUiRnEad/ou5aTKoWqMr2Ptud0m/E3CAmPsZ0o+CBSweo+F1FYi3uxynWwzT/nf6PdcfW8Vadt0w3Op28dpLCOQozYcsEj31/7ZXKU4oJj02gybImgNHtpHah2vhnNG64XHNkDU1mGMvsb/p01cJudXzAcVrPac2OcztsdW43rx0Lwxaa8hXKXojMGTJzNPKoLe3jJz7mrTpvkTlDZiZtmWQb0zopq7qu4sTVE07jbr9X7z0q5a9kugHvuQrPkT1zdiZvN4/hXTF/RZ6r8Jzppq325dszv8N8Pv/7cwatGuS03cBMgbZxhK37dOqtU8Rb4vlq01c8+fCTZPTLSPnvygNQ46EabOnt/L/bvsWybuG6bDzpeqzmO2m9tWo4vSHrjq+jTN4y/NfrP1Owe+32NXKONX5kfd/ye3pW74lCse3sNrJkzHJPAp8ftv7AK8tfwaItLH1hKS1Lt0x6pRRwO+42a46uoWGxhh5vLvbGschjRN6KpGqBqh7zeboi8VHjj3iv/nvJ2u6V6Cu8/vvrtCvXjrbl2gKev68t2sJvB3+jdqHaKRYQWvepZemWXv9o3HdxHxn9MlI6b2mP+eyP1512M0lpWmtWHFpBrUK13HYnuleky4oPSUAuPLFoCxFREfgpP3JlyWW6m9/xkqk7jz/0OOt6GzeQuOuHurnXZmoWdPkZ5eGvH7a1XHco38HtE+B2vrKTBfsWuGw1tXJ3ed4xKHTXD/lW3C16LOlhG/YsV5ZcXHnnCv+c/IfHpj7mdrueWPsJxsbH8tjUxyidtzSzd892W/+LNy+y49wOnpz5pNNlauuICxlHZiRee74icOatM7b+17UK1WJd93VkyZiFp2Y+xR+HzcNhffzEx6w/sZ7fDv7mtrxfn/+VUroU5eYmXtoumL0gp98ynkZnHWbv6VJPs7yTebi9PRf2UGlCJQDGPTmOt1a+xZfNvmTAowM8Xpa2Cn8tHICy/zP/TxndaDRdKnfhxcUv8tfxv6hbuC6ty7Rm8Gr3wyPqYdr0o2tii4n0qdkHMAKu3st6Uyh7IW7F3eKzpp95PWKDYwB8/sZ5wiLCbDdkbe+znaF/DnUaivDtOm/zxT9fuCzTse+14wgTt4bcYvu57U4/aF0NFZdcu/ftplL5Sm6Xx1niXI7+IVJW98Xd+XHnj07p89rPo135dilyz8q9/r4+e/0s4RHhNCru3cghyWEdpeTHNj/yYpUXU7z8+50E5D4kAblw57/T/1F7svkO7XpF6rG+h9Hn17FlZm77udR4qAYlvyl5R9tzFSw7tmxaA+XpO6bTY0kPW/DmrQ09NlC3SN3EbboJorpW7spPz/7klP7SkpeYtmOabf78wPPkD8xvK+ti1EVWHFpB/SL1KfF1CVu+CwMvsOv8LlsLsaMr71yh/rT6ST6evE3ZNiwOX+x2+SdNPqFvzb7kGJv8y/OdKnViVttZLlvcFnRYQNtybVmyfwn1i9Rn85nNNJ/V3La8Tkgd/u75N+Hh4aaAHBJvlLKWa72hMjk8tQKWDSpL2GthgNEl6OGvH3abd1SjUdQrUs80KsH3Lb+n97Letnnr+3D0X6M5f+M845uP9zqocTfkmvXHhSsHLx3k0OVDNC/V3Ouh6qwcW3/tj1PU+1EEZDJuZCv4RUFT95y7aR23kv/hacftuNusPLySbJmz8ezcZxnTeAyv1fLuypY35FynHxKQ+5AE5MKV67evuw3qXnvkNQY8OsB2F7+rriDePJDipzY/8eLixBYKxzGkj0ceN40TfOO9GwRmThxaL94STwa/DJT8uiSHr7i/UbJ9+fa2m1/eqfsOY5uMtS1z1f3BKmZoDFGxUaZRGZJzQ9yzc5+1Bc/WfKFHQ2n8U2O366SGpS8s5eHcD9u6OtwJx7Gz7QPHSvkrsauvMfxZeHg4Xx780mnYt/gP422jMXhzp7+j5xY8x7y980xpUe9H4Z/R3ylY9hS8W28gfGrmU/gpP3594VfO3ThnG67w1+d/pVWZuxu603H7wxoMY3jD4V6v79glypMnij/B6hdXu9y2/Xtzf8R+Xln+Ct2rdOfFKi/e1VjsVvI/PP2Qc51+yE2dQqQx9q2fjv63+X+mIbVc9cvOmzUvZ98+65Ru9ULFF+hapatpHN9Zu2aZ8jgGkPbBOGBr4fv1BfMYyWAMz2c1r/08htY3Rg74/O/PeXf1u3y28TOuRF9xG4wDZB6dmVyf5GLyNqN/8Oojq03L3Y3dbDW99XS+b/k9V95JvIGyUfFGLO+0nKoFqtKhfAeP66/vsZ7zA8/z3dPf8e/L/3rM644epmlZuiXl8pUjZmgMN9674dWNhWD0UX6mzDMcH3Dc6UE2SikiBkUwocUEp/FsJ7acyIQWE8jkl9iVwv7JdMkNxsG4MXBii4nUeKgGgx4bhOVDCwGZAly2XG/vs5257edSOId5TPB+tfrZbiBc0WUFv3X+jYx+GSmUvRA9q/Vk8GOD7zoYh8Sb8JqUaELEoIhkBeNgvK9blGrhdvmCDgts7+c1R9fQ6ZdO3I67TUx84sgy9jcFApQJKkNot1C6Ve2WIsG4EEKkNGkhlxZy4eCdVe/w6d+f2uaH1B/CmPVjXOYtkK2Ax8D7t4O/0WK2EVwc63+MsIgwdp/fzduPvY2f8uNW3C3T+LDWVr0r0VfI82liEDir7SzTnej27Ftrc/jnYF33dVQtUJVrt6/hn8Ef/4z+/LLvF6eRWhxdeecKubLkctnCOv6p8fRfkfgQB3d9zJPL1bY+fPxD9l/az+x2s00Bp33evAF5qVmwpq2v985Xdjo9PONY/2MUzVUUV2bumsmcPXMIzBzInHZzyDk2p2kourXd1tKgWAOX63ri+Ll23L/KwZXZ+crOZJd7pypNqMSeC3ucuirdDyKiIsigMvDtf9/yWq3XyOiX0XbzZHhEOOX+l9g1aFSjUYxYN4I4S5yx/B7crCb/w9MPOdfph3RZ8SEJyIU967jd9uwvfTsGWN6Me/rrpl+pXr667al6jj7b+JntJrvOlTozs+1M3vjtDb7dbAxRtbLLSpo+7HkUk/XH13M95rrbscbtH6/uiv0+JvXo5XfrvsvHTT52uzw5CnxegPM3jadLLnpuEa1Kt3Lbt/dGzA36/96fntV78ljhx2w3yL5Y5UV+bPMjzWY2Y+Vho2XU3eO03bG/qfJufmw4fq7PXD9DoXGJ46i3KNWCZZ2W3VHZdyImPoZrt68le/z1tO7qravk+iSXbT6jX0ZbMA4p00c8KfI/PP2Qc51++DIgl1vAhUjgqrU29gP3w+YBXg1zVTpXabfBOBgtgVazds8iKGuQLRgH49J/UjyN2Qp4fJKn4xMl/TP6E/tBLF0WdmHu3rlO+d9+7O0k6+OtE2+e4O+Tf1M6b2kKZnf9GHKrbJmzMaX1FNt8/sD8ph8SKzqv4J9T/1AuqFyyR7eomL8iO1/ZSXBgcIp2aXDcJ/tW+Hshc4bMD1wwDjg9bdI+GD/c73CqB+NCCJHS0mwfcqVUBqXUZ0qpi0qp60qpX5RSSX6zKKX6KqW0Usr5cVsi3Th65SjTd0xHjVD8tNN5tBBH2886j2/tqpX19UcSx+ee027O3VcUeLPOm6Z5+wepzG0/N8UCxPkdnIdLHPTYIB4r7DxcYUa/jMxpP4cK+ZzHTM4bkHLjxGbOkJmGxRomGYx7QynFY4UfI3dA7jtav3JwZYKzeX40+p2wjmUMxiO1RcqwjnbkqHiu4ve4JkIIcffScgv5u0BroDZwCZgKzADc3m2nlCoKvA3svhcVFGlTvan1TA8D6ba4G+XzlXc7zjfAiHUjTPOvPfKay1bWb57+hlxZcqHRdKzQMUXqWyBbAY70O2IaJtCqcnBlF2vcmfbl23v9mHCrdd3XmUaLifsgTm6KS6Z57efx1aavuBx9mRcqvZD0CsIr9YrUY0efHaaHbPWu3lven0KI+1JaDsh7AyO11kcAlFKDgUNKqWJa62Nu1pkCDAH63psqirTmSvQVl0/me+QHY2SLl6u9zA/P/GBadjvuNkv2LwEgp39OXqr2EsMaDHO7jVGN3T94504VyVnEKW1M4zGUDfJtv8W8WfOypdcWnpnzDOOeHCddAe5ABr8MKdrNRySqUqAK23pvo/r31SmdtzQTW070dZWEEOKOpMmbOpVSOYFIoJrWeodd+lWgq9baaZw3pVQfoIXW+hml1FpgtdZ6tJvye2ME/BQqVKjG6tWrXWVLVREREQQFPXh9O+/U+Sjjxr7grHfXZcDxoSyuhD0XZnv96Y5PmbY/8UE3a1quoWDg3XefsOftuY63xPPL0V8YtmUYH9f6mDbF26RoPUTqk891+iHnOv2Qc51+pPa5Lleu3P01yopSqjBwAiihtT5ql34cGKK1numQvwiwEXhUa306qYDcnoyy4nv2DwJxNdzc49MeZ/0Jo7+ouy4XE7dMpO9y7y6MhL0WZmt5Ts6Dbu6UnOv0Q851+iHnOv2Qc51+yIOBnFmHIsjpkJ4LuOYi/2RgtNb6dGpWStyd8zfO0//3/hQfX5yR60ay7MAyLt68yJebvrTlafhjQ6f1rME4wC/7fnFZtmMwnitLLrf1KPe/ckTHRvPn0T9N6Qs7un9IjhBCCCFEakmTfci11pFKqRNAdWAHgFKqBJAD2OVilaZADaWU9ektOYFHlFLNtNaex4MT90ScJY4CXxSwzQ9b67qPtuOoHscij5nmuy3uRrvy7UxpFu38xMiDbxwkKGsQ0bHRrDy8koOXDzJo1SDb8qwfZTXln9d+Hs+We9arfRFCCCGESElpMiBP8D3wjlIqFGOUlU+AP9zc0FnYYX4+sB74IlVrKLyWa2wur/IVzlmYGzE3OHP9DLvP73Z6uuQTJZ4wzdt3d7E69eYp29jLAZkCaF22NWA8Cr3xT42dtvl2nbfpUMHzY9yFEEIIIVJLWg7IxwK5gc2AP7AK6AKglOoMTNJaZwPQWp+yX1EpdRu4prU+f09rLFyasm0KN2NvepV3xaEVZP84u9vlv+4338+787z5MeSe+oA3LNbQZfr79d/3qm5CCCGEEKkhrfYhR2sdr7UeqLUO0lpn11q31VpHJCybZQ3G3azb0JsbOsW98fLSl03zgx4bxIIOC9DDNE+VfIoMKgNhr4W5WduQwz+H7bX9jchrjqzxuh5KKWI/iKV1mda2tNtDb5MnII/XZQghhBBCpLS03EIuHgALw8w3Sm7ptYUaBWvY5n/v/Dvguh+4vWu3E+/l9Rvpx/v13mf7ue38fshYv1L+Smzv4/y0TUcZ/TKy+PnFrDy8ktxZcnt8pLwQQgghxL2QZlvIxf3vz6N/0m5e4g2YFwddNAXj9vyU+a3Yrlw79DBNkxJNADj0xiGCAxPHKP9ow0e2YBygd43eyXpozZMPP8kjhR7xOr8QQgghRGqRgFykmlF/mZ9omTcgr8f8e/rusb2e32E+AKu6rkIP0zyc52F+fcHpeVA23ap0u4uaCiGEEEL4jgTk4q70WdoHNUIRejTUlB5niWPtsbW2+bFPjEUphScV8ldAD9PoYdpl3hoPuW5dB8ju7/5GUCGEEEKItEwCcnFXvt/2PQCNf2pMvan1OHfjHACnriUOfNOjag8G1x1819vK4JcBy4cWdr1iHoq+VqFad122EEIIIYSvSEAu7tihy4dM8xtPbuShLx5i9ZHVLD+w3JY+5ZkpSbaOe0spRaXgSizosMCWNqT+kBQpWwghhBDCF2SUFXHHWv3cymV60xlNba8fL/p4igXj9tqVb8fabmtZf2I9rUq7rocQQgghxP1AAnKRpPCIcErkLmEbIjAmPoZf9//KhZsXklz3r+N/pVq9GhRrQINiDVKtfCGEEEKIe0ECcuHR/L3z6bigI5D4FEz/0f5er/9Hlz9SpV5CCCGEEA8K6UMu3Oowv4MtGAd4+4+3iYmPccq3vsd6l4+s71q5K08+/GSq1lEIIYQQ4n4nLeTCpdtxt1mwb4EpbdymcSw9sNQpb76s+QDY9couPt7wMZ82/ZT8gfnlKZhCCCGEEF6QgFy45DiCitXBywed0ormKgpApeBKzG43O1XrJYQQQgjxoJEuK8LJrbhbDA0dapsvnKOwx/xZMmZJ7SoJIYQQQjywJCAXTkatG8Xi8MUAtC/fnmMDjnHmrTOmPL2r9ybynUjiPojzQQ2FEEIIIR4c0mVFOPlow0e217mz5MZP+fFQ9odMeR4NeZScWXLe66oJIYQQQjxwpIVcePRN829sr0+9eQqA4rmK0658O19VSQghhBDigSIt5MKtVV1X4Z8xcczxQjkKuRzeUAghhBBC3DlpIRcmt+Ju2V43KtbIhzURQgghhEgfJCAXNj2X9CRgTIBtPoNfBh/WRgghhBAifZCAXNhM3THV11UQQgghhEh3JCAXAGht7hv+edPPfVQTIYQQQoj0RQJyAcCxyGO219kyZ6N71e4+q4sQQgghRHoio6wIAFYfWW17fe3dayilfFgbIYQQQoj0Q1rIBQCRtyIBqP5QdQnGhRBCCCHuIQnIBQCDVw8GIDwi3Mc1EUIIIYRIX6TLSjo3e/dsZu+ebZv/4skvfFgbIYQQQoj0RwLydExrTeeFnU1pvWv09lFthBBCCCHSJ+myko6dvHbSNJ89c3b8lLwlhBBCCCHuJYm+0rG5e+aa5p+v+LyPaiKEEEIIkX5JQJ6OHbp8yDQfkiPERzURQgghhEi/JCBPx77f9r1pXgJyIYQQQoh7TwLydGrDiQ1Oafmy5vNBTYQQQggh0jcJyNOpVYdXOaWVzlvaBzURQgghhEjfZNjDdGry9sm215t7bebs9bOUCSrjwxoJIYQQQqRPEpCnQ/GWeM5cPwNADv8c1CxY08c1EkIIIYRIv6TLSjqjtabLoi62+YUdF/qwNkIIIYQQQgLydObjDR8zZ88c2/wTJZ7wYW2EEEIIIYQE5OnM539/7usqCCGEEEIIOxKQpzMNizW0vd75yk7fVUQIIYQQQgASkKcrt+JusSh8EQC/Pv8rlYMr+7hGQgghhBBCAvJ0JGBMgO112aCyPqyJEEIIIYSwkoA8nYiIijDNP5T9IR/VRAghhBBC2JOAPJ04efWkaT5b5mw+qokQQgghhLAnAXk6cSzymO314X6HfVcRIYQQQghhIgF5OvDx+o9pO68tAM9VeI4SuUv4uEZCCCGEEMIqo68rIFLPiasnKPpVUVPa5jObfVQbIYQQQgjhirSQP8A6zO/glDbuyXE+qIkQQgghhHBHAvIH2H+n/3NKe6rkUz6oiRBCCCGEcEcC8gfQ+E3jUSOUKS1LxizoYRr/jP4+qpUQQgghhHBFAvIHzPIDyxnwxwBT2nMVnmNTz02+qZAQQgghhPBIbup8wLT8uaVT2pz2c3xQEyGEEEII4Q1pIRdCCCGEEMKHJCB/gGitndJmt53tg5oIIYQQQghvSZeVB8j0HdNtr4MDg9nddzf5AvP5rkJCCCGEECJJEpA/QF769SXb6xNvniBzhsw+rI0QQgghhPCGdFl5QEkwLoQQQghxf5CA/AExedtkX1dBCCGEEELcAQnIHxC9lvayvd776l4f1kQIIYQQQiRHmg3IlVIZlFKfKaUuKqWuK6V+UUoFucn7tFLqT6VUhFLqilJqvVKq/r2uc1pRPl95X1dBCCGEEEJ4Kc0G5MC7QGugNhCSkDbDTd7cwDdASSAfMBv4XSlVOLUrmRbYD3e49IWlPqyJEEIIIYRIrrQckPcGPtFaH9FaXwUGA08ppYo5ZtRaz9JaL9JaR2qt47TWE4BooOa9rbJvXLl1BYAc/jloWdr5SZ1CCCGEECLtSpPDHiqlcgJFgK3WNK31YaXUNaAycCyJ9SsDeYE9bpb3xgj4KVSoEOHh4SlT8WSIiIhIse0evnYYgNyZcvtkX4RnKXmuRdom5zr9kHOdfsi5Tj98ea7TZEAO5Ej4e9UhPdJumUtKqfzAAuBTrfVBV3m01t8D3wPUrFlTly1b9q4qeyfCw8NJqe1eOnEJgIdyPZRiZYqUk5LnWqRtcq7TDznX6Yec6/TDl+c6rXZZuZ7wN6dDei7gmruVlFIFgVBgJfBeqtQsDboeYxyu7Jmz+7gmQgghhBAiudJkQK61jgROANWtaUqpEhit47tcrZPQt3w98LvW+nVtf6fjA+767YSA3F8CciGEEEKI+02aDMgTfA+8o5QqrpTKAXwC/KG1PuaYUSlVFtgA/Ky1Hnhvq+l70kIuhBBCCHH/SssB+VhgKbAZOA1kALoAKKU6K6Vu2OV9BygEDFBK3bCbOt/rSvvCtdtGLx4JyIUQQggh7j9p9aZOtNbxwMCEyXHZLGCW3XwPoMe9q13acvCSce9qkZxFfFwTIYQQQgiRXGm5hVx46addPwFQpUAVH9dECCGEEEIklwTkD4AMKgMA5fOV93FNhBBCCCFEcqXZLisiaZG3Ipm1axZXbxvDtRfMXtDHNRJCCCGEEMklAfl9LPcnuU3zfkoueAghhBBC3G8kghNCCCGEEMKHJCC/T0XFRpnmX3vkNR/VRAghhBBC3A3psnKfso49DrC9z3aqFqjqu8oIIYQQQog7Ji3k96mrt4wbOUvkLiHBuBBCCCHEfUwC8vvUyWsnASico7CPayKEEEIIIe6GBOT3qeORxwEIyRHi45oIIYQQQoi7IQH5ferlpS8DEJgp0Mc1EUIIIYQQd0MC8vuQ/Q2djYs39mFNhBBCCCHE3ZKA/D6Uc2xO2+tmJZv5sCZCCCGEEOJuSUB+n9l2dptpPleWXL6piBBCCCGESBESkN9nanxfw9dVEEIIIYQQKUgC8vtYv1r9fF0FIYQQQghxlyQgv4+9Xut1X1dBCCGEEELcJQnI7yPxlnjTfMHsBX1UEyGEEEIIkVIy+roCwjsLwxbSbl472/yS55cQmFnGIBdCiAfVtWvXuHDhArGxsb6uSroWGxtLWFiYr6sh7oG7PdeBgYGEhITg55f89m4JyO8T9sE4wDNlnvFRTYQQQqS2a9eucf78eQoVKkRAQABKKV9XKd2Kjo4mICDA19UQ98DdnGuLxcLp06eJiIggf/78yV5fuqzcBxaHLzbNb+ixwTcVEUIIcU9cuHCBQoUKkTVrVgnGhbgP+Pn5ERwczNWrV+9s/RSuj0gFb6982zRft0hdH9VECCHEvRAbGyutskLcZzJlykRcXNwdrSsB+X2gcnBl2+tqBar5sCZCCCHuFWkZF+L+cjefWQnI0zitta3LSsHsBdnae6tvKySEEEIIIVKUBORp3IxdM2yvFUpaTIQQQogU0L17d1q2bJnq25k+fTrZsmVLMt+6desoXbo08fHxSea1atiwIa+/nnafSRIeHk6dOnXIkiULxYoVA4xW5AULFqT4tr799lueeeb+HfBCAvI07odtP9he/9b5Nx/WRAghhLj/rF27FqUUERERpvTx48czc+ZMH9XK2aBBgxgyZAgZMmTwdVVSzNChQ8maNSvh4eFs3rwZgLNnz9KqVau7KtdVUN+rVy+2bNnC+vXr76psX5GAPI1rVTrxTWvfl1wIIYQQdy5nzpzkypXL19UA4O+//yY8PJwOHTr4uiop6tChQ9SrV49ixYqRL18+AAoUKIC/v7/bde503H1/f386derE119/fUfr+5oE5Gnc6L9GA9C+fHsf10QIIYRwb9KkSQQHBzuNMtGpUydat24NwMmTJ2ndujV58uQha9aslC1bljlz5rgt02KxMGrUKAoXLoy/vz+VKlViyZIltuXHjh1DKcXs2bOpV68eWbJkoWzZsqxcudK2vFGjRgDky5cPpRTdu3cHnLusNGzYkL59+/L222+TJ08e8uXLx/jx47l9+zavvfYauXLlokiRIsyYkdiVFODdd9+lTJkyBAQEUKxYMQYPHsytW7eSdexmz55NkyZNyJo1qy3t8OHDtG7dmgIFChAYGEj16tVZtmyZ2zImTJhAuXLlbPOrVq1CKcUnn3xiS+vcuTO9evUC4NKlS7zwwguEhIQQEBBAhQoVmDZtmi3vTz/9RN68ebl9+7ZpO507d7Z1DfF0PpVS7Ny5k5EjR6KUYvjw4bZ0a+u29fz9/PPPNG7cmICAACZNmsTVq1fp2rUr+fPnJ0uWLJQoUYKvvvoKwNb1pUOHDiilbPMAzzzzDL/++itRUVHeHPY0RQLyNO56zHUAdpzb4duKCCGEEB507NiRyMhIVq9ebUu7efMmS5YsoUuXLgC8+uqrREVFERoayt69e/nqq688tlKPHz+ezz77jE8++YTdu3fz7LPP0rZtW3bs2GHKN3jwYPr168eOHTto2rQprVu35vTp0xQuXJhffvkFgL1793L27FnGjx/vdnuzZs0ie/bs/Pvvv7z77rsMGDCAjh07Urp0abZs2UK3bt14+eWXOXPmjG2dwMBApk6dSlhYGN999x1z5sxhzJgxyTp269evp2bNmqa0Gzdu0Lx5c1atWsXOnTtp164dbdu2JTw83GUZDRs2JDw8nLNnzwJGV52goCBCQ0NtedatW0fDhg0BuHXrli3I37t3L/3796dPnz6sWbMGMAJei8Vi+gF09epVFi1aRM+ePQHP5/Ps2bOUKVOGt99+m7NnzzJw4EC3+//ee+/x6quvsm/fPtq0acPQoUPZvXs3y5YtIzw8nKlTp1KoUCEAW9eXH374gbNnz9rmAWrWrElcXBz//PNPksc8zdFap+upRo0a2hfCwsK8ypdhRAbNcPTao2tTuUYitXh7rsX9T851+pHa53rfvn1OaeCbKTnatGmju3TpYpufMWOGzpEjh46OjtZaa12pUiU9fPhwr8srWLCgHjFihCmtQYMGunPnzlprrY8ePaoBPXr0aNvy+Ph4XapUKT1kyBCttdahoaEa0BcvXjSV061bN92iRQtTuY8++qht3mKx6KCgIP3000/b0mJiYnSmTJn0/Pnz3dZ5woQJ+uGHH7bNT5s2TQcGBnrcz5w5c+qpU6d6zKO11rVr19ajRo0y1fm1116zzQcHB+vZs2drrbV+7LHH9NixY3VgYKCOjY3VBw4c0IA+deqU2/Kfe+453bNnT9v8a6+9pps1a2ab/+6773RwcLCOjY3VWid9PitUqKCHDRtmSgNsx896/j7//HNTnlatWunu3bu7Lde+DEe5c+fWkydPdruuJ1FRUXe0nj1Xn10rYIt2E49KC3kalytLLgDKBpX1bUWEEEKIJHTp0oXFixfbugzMmjWL9u3bkyVLFgD69+/P6NGjqVOnDkOHDmXrVvdD+V67do0zZ85Qt675YXj16tVj3759prQ6derYXvv5+VG7dm2nPN6oXDnxXi2lFPnz56dChQq2tEyZMpE7d24uXLhgS1uwYAH16tWjQIECZMuWjTfffJMTJ04ka7vR0dG2Y2R18+ZNBg8eTPny5cmdOzfZsmVjy5YtHstu0KABa9euJSoqii1bttC9e3eCgoLYvHkza9eupWTJkraW5vj4eMaMGUPlypXJmzcv2bJlY+HChabye/XqxapVqzh16hQAU6dOpVu3bmTMmBFI3vn0xPHqQN++fZk3bx5VqlRh4MCBrFu3zuuyAgICiI6OvqN6+JIE5GlYTHwMl6IvkUFlIChrkK+rI4QQwod81UaeHC1btiRjxowsWbKECxcusHr1alt3FYCePXty9OhRevTowYEDB3jsscdsfYvdcTXcb2oNAZwpUyan7bhKs1gsAGzatInnn3+eZs2asXTpUrZv387o0aOTfWNiUFAQV65cMaUNHDiQ+fPnM2rUKNatW8eOHTuoVasWMTExbstp2LAhoaGhbNy4kZIlSxIcHEyDBg0IDQ1l7dq1tu4qAJ9//jlffPEFgwYNYs2aNezYsYM2bdqYyq9SpQrVq1dn+vTp7Nmzhy1btvDSSy/Zlt/J+XQlMDDQNN+8eXOOHz/OwIEDiYiIoEWLFvTo0cOrsi5fvmy7gfR+4jEgV0q96O10ryqcnhy8dBCAeB1PBr8HZxgkIYQQDyZ/f3/at2/PrFmzmDt3LgUKFKBBgwamPCEhIfTu3Zt58+YxcuRIvv/+e5dl5ciRg4IFC7JhwwZT+oYNGyhfvrwpbdOmTbbXWmv+++8/2w2OmTNnBkjW+N7e2rhxI4UKFeKDDz7gkUceoVSpUhw/fjzZ5VSrVs2pRX/Dhg28+OKLtGvXjsqVKxMSEsLhw4c9ltOwYUMOHjzIrFmzbMG3NUi37z9uLb9Vq1Z07dqVqlWr8vDDD3PgwAGnMnv16sX06dOZPHkydevWpUyZMqbl3p7P5AoKCqJr165Mnz6dKVOm8OOPP9puMM2UKZPL83n48GFb3/j7TcYklv/PYT4zkAmwJMz7AbHAbeCnlK2a+PTvT31dBSGEECJZunTpQpMmTTh69CidOnXCzy+x7a9///40b96c0qVLc+3aNVasWOEUXNsbNGgQH374IaVKlaJGjRrMnDmT9evXO3WNmDBhAqVLl6ZSpUp89913HD9+nL59+wJQtGhRlFIsX76cVq1aERAQ4NWDerxRunRpTp8+zaxZs6hTpw5//PEHP//8c7LLadasGVOmTHEqe9GiRbRu3ZpMmTIxYsSIJEdvKVeuHMHBwcycOdM22kmjRo3o1asX8fHxpoC8dOnSzJ07lw0bNhAUFMQ333zD0aNHqVatmqnMF154gbfeeosJEyYwceJE07Lknk9vffjhh1SvXp0KFSoQFxfHwoULKVGihG24xGLFirFmzRoaNGiAv78/uXPnBoybY0uUKEGpUqXuug73mscWcq11dusEPA/sAuoDWRKm+sAOoFMq1zNdirMYQ0e1LJ36TxITQgghUsLjjz9OoUKF2Ldvn6m7ChjDGL7xxhuUL1+epk2bEhwczI8//ui2rH79+jFo0CAGDx5MxYoVWbRoEb/88gtVq1Y15Rs7dizjxo2jSpUqrFixgkWLFhESEgJAoUKFGDFiBEOGDCE4ODhFn2zZqlUrBg0axIABA6hcuTKrVq1i5MiRyS6nS5cuHDhwgL1799rSxo0bR/78+alfvz7Nmzfn0UcfpX79+kmW1bBhQywWi+3KRLFixQgJCTH1HwfjoT21atWiefPmPP744wQGBtK5c2en8rJnz07Hjh3JnDkzHTt2NC1L7vn0lr+/P0OGDKFKlSrUrVuX69evs3TpUtvyL774gtDQUAoXLmz6AfHzzz/bhnW83yjtZQcxpVQY8JLW+h+H9DrAdK11Gddrpm01a9bUW7ZsuefbDQ8Pp2xZzzdqPj3raX4/9DuLnltEm7Jt7k3FRIrz5lyLB4Oc6/Qjtc91WFiYaUxp4dqxY8coXrw4mzdvdroxMKVER0cTEBCQKmXbe/fdd7l48aJTS3la0Lx5c0JCQvjhhx+Szuwje/bs4YknnuDAgQPkzJnzjspIiXPt6bOrlNqqtXb5Rk2qy4q9YsBNF+lRQJFklCO89Puh3wHIE5DHxzURQgghRGp6//33+eabb4iPjydDhrRx39jly5dZvXo1K1euZOfOnb6ujkdnzpzhp59+uuNg3NeSE5D/C3ytlOqstT4NoJQqBHwJbPK4pki223GJT8aqmL+iD2sihBBCiNSWI0cOhgwZ4utqmFSvXp3Lly/z0UcfUbFi2o5FnnzySV9X4a4kJyB/GVgEHFNKnU5IKwTsB9qkcL3SvYioCACyZc4mLeRCCCGEC8WKFcPbrrci+Y4dO+brKqQbyQnIzwDVgUZAWUAB+4DVWj4NKe5i1EUAiucq7uOaCCGEEEKI1ORVQK6UygBcBaporVcCK1O1VoJd53cBkC/w/hvcXgghhBBCeM+rJ3VqreOB4xjjkIt7wNplxb4vuRBCCCGEePB4FZAnGAWMVUrJM9zvAWtA/lTJp3xcEyGEEEIIkZqS04d8IFAcOK2UOoXDEIha68opWbH07Prt60zYMgGAfFmly4oQQgghxIMsOQH5glSrhbCJs8SRY2wO23yhHIU85BZCCCGEEPc7r7usaK1HeJpSs5Lpydt/vG2arxJcxUc1EUIIIR5c3bt3p2XLlqm+nenTp5MtW7Yk861bt47SpUsTHx+f6nXyRrFixfj88899XQ23Nm7cSOXKlcmcOTMNGzbk2LFjKKVIjaevDxw4kH79+qV4ufaS04dc3ANf//e1ab5wzsI+qokQQghx/1u7di1KKSIiIkzp48ePZ+bMmT6qlbNBgwYxZMiQFH1KZ2oGqb7Wv39/qlSpwuHDh1m4cCGFCxfm7NmzVK1a9Y7LPH78uMvj9c477zB9+nSOHDlyl7V2z+uAXCmVWSk1Qil1QCl1SykVbz+lWg3TmQwq8YOoh8nw7kIIIURqyJkzJ7ly5fJ1NQD4+++/CQ8Pp0OHDr6uyn3j0KFDNG7cmMKFC5MnTx4yZMhAgQIFyJjRfW/s2NjYO9pWvnz5ePLJJ5kwYcKdVjdJyR1lpRvwBWABBgH/Ay4Br6Z81dKn1mVbAzCv/Twf10QIIYTw3qRJkwgODiYuLs6U3qlTJ1q3Nr7bTp48SevWrcmTJw9Zs2albNmyzJkzx22ZFouFUaNGUbhwYfz9/alUqRJLliyxLbe2AM+ePZt69eqRJUsWypYty8qVK23LGzVqBBhBlVKK7t27A85dVho2bEjfvn15++23yZMnD/ny5WP8+PHcvn2b1157jVy5clGkSBFmzJhhquO7775LmTJlCAgIoFixYgwePJhbt24l69jNnj2bJk2akDVrVlva8OHDqVixInPmzOHhhx8me/bstGnTxtTSn9TxKV7ceLjgI488glKKhg0bArB582aefPJJgoKCyJEjB/Xq1eOff/5xW7933nmH5s2b2+Z/+OEHlFLMnTvXlla3bl3GjBkDwOHDh2ndujUFChQgMDCQ6tWrs2zZMlvekSNHUrFiRaft1K1b19Y1ZPfu3TzxxBPkyJGD7NmzU6VKFUJDQ23n/OrVq7z00ksopZg+fbrT1QDrlZHffvuNWrVqkTlzZv744w+P78Fy5cq5PF4AzzzzDD///LPbY3S3khOQdwRe0VpPAuKBJVrrfsAwoGlqVC49un77OgA5/HMkkVMIIYRIOzp27EhkZCSrV6+2pd28eZMlS5bQpUsXAF599VWioqIIDQ1l7969fPXVVx5bqcePH89nn33GJ598wu7du3n22Wdp27YtO3bsMOUbPHgw/fr1Y8eOHTRt2pTWrVtz+vRpChcuzC+//ALA3r17OXv2LOPHj3e7vVmzZpE9e3b+/fdf3n33XQYMGEDHjh0pXbo0W7ZsoVu3brz88sucOXPGtk5gYCBTp04lLCyM7777jjlz5tgCU2+tX7+emjVrOqUfO3aMuXPnsmjRIlauXMn27dsZMmSI18fnv//+A2DFihWcPXuWhQsXAnD9+nW6du3K+vXr+e+//6hatSpPP/20U7ceq4YNG7Jhwwbbj621a9cSFBREaGgoAFFRUWzevNkWwN64cYPmzZuzatUqdu7cSbt27Wjbti3h4eEAvPTSS4SHh9vqB7B//37+/vtvevbsCRg/5B566CH+++8/tm/fzvDhw8mSJYuta0rWrFn56quvOHv2LM8995zbY/vOO+8wevRowsPDqV27tsf34F9//eXyeAHUqlWL06dPc/jwYbfbuitaa68mIAookvD6LFAj4XVx4Jq35aS1qUaNGtoXwsLCXKbX/qG2Zjh644mN97hGIrW4O9fiwSPnOv1I7XO9b98+50TwzZQMbdq00V26dLHNz5gxQ+fIkUNHR0drrbWuVKmSHj58uNflFSxYUI8YMcKU1qBBA925c2ettdZHjx7VgB49erRteXx8vC5VqpQeMmSI1lrr0NBQDeiLFy+ayunWrZtu0aKFqdxHH33UNm+xWHRQUJB++umnbWkxMTE6U6ZMev78+W7rPGHCBP3www/b5qdNm6YDAwM97mfOnDn11KlTTWnDhg3T/v7+OjIy0pY2evRoU9neHp/Nmzd73L7FYtEFChTQM2bMsKUVLVpUf/bZZ1prra9fv64zZsyo//77b6211oUKFdIff/yxLl26tNZa65UrV+qsWbPqmJgYt9uoXbu2HjVqlG2+RYsWuk+fPrb5wYMHa/uYLHv27Hr69OluywsMDNTTpk2zzTvuq/W8L1iwwLSep/dgWFiY2+N19epVDejVq1e7rZPWbj67CYAt2k08mpwW8hNAwYTXh4BmCa/rANF38ZtA2LkeY7SQZ8+c3cc1EUIIIZKnS5cuLF68mKioKMBocW7fvj1ZsmQBjBvxRo8eTZ06dRg6dChbt251W9a1a9c4c+YMdevWNaXXq1ePffv2mdLq1Klje+3n50ft2rWd8nijcuXER6oopcifPz8VKlSwpWXKlIncuXNz4cIFW9qCBQuoV68eBQoUIFu2bLz55pucOHEiWduNjo62HSN7RYsWJWfOnLb5ggUL2radnOPj6MKFC/Tp04fSpUuTM2dOsmfPzoULF9zWO1u2bFSvXp21a9dy8OBBrl27xuuvv86JEyc4c+YMa9eu5bHHHiNTpkyAcWVk8ODBlC9fnty5c5MtWza2bNliKr9Xr17MmTOH6Oho4uPjmTFjhq11HOCtt97i5ZdfpnHjxowZM8bWup5cjlcekvMetBcQEAAY5yo1JCcgXwQ8kfB6PDBCKXUUmA5MTuF6pVv7Lhofouz+EpALIYSw46s28mRo2bIlGTNmZMmSJVy4cIHVq1fbuqsA9OzZk6NHj9KjRw8OHDjAY489xvDhwz2WqZTyKi0lWANK++24SrNYLABs2rSJ559/nmbNmrF06VK2b9/O6NGjk33zYFBQEFeuXPGqPtZt26c5Sur4dOvWjc2bN/Pll1/y999/s2PHDkJCQoiJiXG7TsOGDQkNDWXt2rXUr1+fbNmyUatWLdauXcvatWtN/a0HDhzI/PnzGTVqFOvWrWPHjh3UqlXLVH6LFi3ImjUrv/zyC7/99huRkZG88MILtuXDhw9n3759tGnThr///pvKlSszdepUj/vlSmBgoGn+Tt6DAJcvXwaMexFSQ3LGIX9Paz0m4fUCoB7wDdBWaz3E48rCKzHxiW/U/IH5fVgTIYQQIvn8/f1p3749s2bNYu7cuRQoUIAGDRqY8oSEhNC7d2/mzZvHyJEj+f77712WlSNHDgoWLMiGDRtM6Rs2bKB8+fKmtE2bNtlea63577//bDfoZc6cGSBVxvfeuHEjhQoV4oMPPuCRRx6hVKlSHD9+PNnlVKtWLdkt+t4cH3f7vmHDBt544w1atGhBhQoVyJ49O2fPnvW4vYYNG7Jx40ZWrVplC74bNmzI8uXLTf3HreW/+OKLtGvXjsqVKxMSEuLU9zpjxox0796dqVOnMnXqVNq2bet0P0GpUqXo168fy5cvp2fPnkyenDLtv+7eg9YfQK7eK3v27CFTpkxUqlQpRergKDlP6jTRWv8L/JuCdUn3zl43PgyBmQLJmilrErmFEEKItKdLly40adKEo0eP0qlTJ/z8Etv++vfvT/PmzSldujTXrl1jxYoVTsG1vUGDBvHhhx9SqlQpatSowcyZM1m/fr1TN4MJEyZQunRpKlWqxHfffcfx48fp27cvYHT7UEqxfPlyWrVqRUBAgFcP6vFG6dKlOX36NLNmzaJOnTr88ccfdzQSR7NmzZgyZUqy10vq+OTPn5+AgAD++OMPihUrRpYsWciZMyelS5dm5syZ1K5d29a9xBq8u1O/fn1iYmJYuHAhgwcPBoyAfMyYMfj7+1OrVi1b3tKlS7No0SJat25NpkyZGDFihMuRZ15++WU++eQT/Pz8bCPjgNEtZODAgXTo0IFixYpx/vx5NmzYQO3atZN9jBx5eg+6O15g3Hhbv35900g4KSk545AfUEpNUkq9oJR6KFVqk86dvn4agAr5KySRUwghhEibHn/8cQoVKsS+fftM3VXAGKbvjTfeoHz58jRt2pTg4GB+/PFHt2X169ePQYMGMXjwYCpWrMiiRYv45ZdfnB7+MnbsWMaNG0eVKlVYsWIFixYtIiQkBIBChQoxYsQIhgwZQnBwMK+//nqK7WurVq0YNGgQAwYMoHLlyqxatYqRI0cmu5wuXbpw4MAB9u7dm6z1kjo+GTNm5Ouvv2by5MkULFjQNvzk1KlTuXHjBjVq1OD555/npZdeolixYh63lS1bNmrUqEFgYCDVqlUDjL77GTNmNPUfBxg3bhz58+enfv36NG/enEcffZT69es7lVmiRAkaNGhAkSJFTC3sGTJk4MqVK3Tr1o0yZcrw7LPPUqdOHcaNG5es4+OKp/egu+MF8PPPP9OrV6+73r47SnvZP0wp1QtokDAVxLixc6110lp7vtaRRtWsWVP74glW4eHhlC1b1pQ2f+98Oi7oyLNln2XhcwvdrCnuN67OtXgwyblOP1L7XIeFhdm6XAj3jh07RvHixdm8ebPLYQNTQnR0tO2GvtT07rvvcvHixTtqKb+flS9fns6dO5uGc/QVd+d6+fLlDBo0iF27dnl88BB4/uwqpbZqrV2+UZPTh/wHrXUXrXVhoAzwGZAL+BE46W05wr3jV41+Zw9lkwsQQgghRHry/vvvU6JEiVTp654WXbhwgfHjx3Ps2DH69Onj6+p4dPPmTaZNm5ZkMH43klWyUsoPeARoCDQG6gKnMVrJU5RSKgMwFugOZAFWAn201i5HrVdKPYXxFNESwGHgLa31Sld506pBqwYBcPhKKg06L4QQQog0KUeOHGmilfheCQ4OJigoiEmTJhEUFOTr6njUsWPHVN+G1wG5Umo5xsgql4B1wM9Ab6118m8n9s67QGugdsI2pwIzgOaOGZVSJYCFQG9gHtABWKSUqqC1PpZK9Us1T5d62tdVEEIIIdK8YsWK4W3XW5G2yHkzS8445E2B28DvwHJgWSoG42AE159orY9ora8Cg4GnlFLFXOTtBmzVWs/UWsdorWcB2xLS7xs5/Y07eTtX6uzjmgghhBBCiHslOQF5TqATcAUYAJxSSu1WSn2tlHo2JSullMoJFAFs4xpprQ8D14DKLlapYp83wbaE9PvC7bjbXL19lQwqA7kDcvu6OkIIIYQQ4h7xusuK1joaWJ0woZQqCQwB+gKvARlSsF45Ev5edUiPtFtmL7ubvC7HD1RK9cZogadQoUJ3/DjWuxEREWHa7rmocwDk9s/Ngf0H7nl9ROpxPNfiwSXnOv1I7XMdGxubao/oFskTFxcn5yKdSIlzHRsbe0f/G5LThzw/xs2cjRL+lgYuAL8AocnesmfXE/7mdEjPhdFK7iq/t3nRWn8PfA/GsIe+GKbMccisciOMIXIibkXIsGkPGBkKL/2Qc51+3IthD+/FUHsiafdq2EPheylxrjNlynRH/xuSM8rKuYTpL2A8xtjjqdI8oLWOVEqdAKoDO8B242YOYJeLVXZi/FCwVw1Ykxr1E0IIIYQQIqUkJyAvn1oBuBvfA+8opUIxRln5BPjDzagpPwGDlFIvAAuA9kAN4MV7VNe7ciPmhq+rIIQQQgghfCQ5DwYKB1BK1VRKPaeUCkyYD1RKpcZI6WOBpcBmjLHOMwBdErbZWSlli2ITbvhsCwzF6KYyFHj2fhnycOuZxPtRf273sw9rIoQQQqRfCxYsQCnls+0fPHiQ4OBgrl51vC3ONxo2bMjrr7/u62q4FR4eTp06dciSJQvFihUDQCnFggULUnxb3377Lc8880yKl2vldUCulApWSv0L/AfMBoITFo3DeCBPitJax2utB2qtg7TW2bXWba0PBdJaz9JaZ3PIv0JrXUFrHZDw9755KFDnhcYwh/4Z/Hm+4vM+ro0QQgghfOH999/n1VdfJWdOx9vi7k5qBam+NnToULJmzUp4eDibN28G4OzZs7Rq1equynV1vHr16sWWLVtYv379XZXtTnKGPfwSow95XiDKLn0+8GRKViq9OX39NACl8pbycU2EEEKItCsmJsbXVUg1J0+eZPHixfTo0cPXVblvHDp0iHr16lGsWDHy5csHQIECBfD393e7Tmxs7B1ty9/fn06dOvH111/f0fpJSU5A/gQwRGt9xSH9MMaY4eIOVStQDYBJLSf5uCZCCCHEnZk0aRLBwcHExcWZ0jt16kTr1q0BI+hs3bo1efLkIWvWrJQtW5Y5c+a4LbN79+60bNmSTz75hJCQEEJCQgCYOXMmjzzyCNmzZyd//vx06NCB06dP29Zbu3YtSinWrFlD7dq1yZo1KzVr1mTbtm2m8n/66SeKFi1K1qxZadmyJefPn3eqw+TJkylZsiSZM2emZMmS/PDDD6blSikmTJhA69atyZo1K6VLlyY0NJRTp07RrFkzAgMDqVq1qtO2Hc2dO5dKlSpRpEhiSDV9+nSyZcvGmjVrqFixIoGBgTRq1IijR4+a1p00aZLbOlq7cnTo0AGllG3+8OHDtG7dmgIFChAYGEj16tVZtmyZ2/pNmDCBcuXK2eZXrVqFUopPPvnElta5c2d69eoFwKVLl3jhhRcICQkhICCAChUqMG3aNFven376ibx583L79m3Tdjp37mzrGuLp/aKUYufOnYwcORKlFMOHD7elW1u3jx07hlKKn3/+mcaNGxMQEMCkSZO4evUqXbt2JX/+/GTJkoUSJUrw1VdfeTxeAM888wy//vorUVH27dIpIzkBeQDg6qdpPuBWylQnfbpw8wIAhbIX8nFNhBBCiDvTsWNHIiMjWb16tS3t5s2bLFmyhC5dugDw6quvEhUVRWhoKHv37uWrr74iV65cHstdt24du3btYsWKFaxZYwyeFhMTw4gRI9i5cyfLli0jIiKCF154wWnd9957j7Fjx7Jt2zby5s1L586dbY9s//fff+nevTu9e/dmx44dtGrVig8//NC0/qJFi3jrrbcYMGAAe/bsoX///rz66qssXbrUlG/06NE8//zz7Ny5k5o1a/LCCy/Qs2dPXn31VbZv307BggXp3r27x/1cv349NWvWdEq/ffs2H3/8MVOnTuWff/4hMjKSV155xVTH119/3W0drV05fvjhB86ePWubv3HjBs2bN2fVqlXs3LmTdu3a0bZtW7djaDds2JDw8HDOnj0LGD96goKCCA1NHPl63bp1NGzYEIBbt27Zgvy9e/fSv39/+vTpYzuHHTp0wGKxsGTJEtv6V69eZdGiRfTs2RPw/H45e/YsZcqU4e233+bs2bMMHDjQ7bF97733ePXVV9m3bx9t2rRh6NCh7N69m2XLlhEeHs7UqVMpVKiQx+MFULNmTeLi4vjnn3/cbuuOaa29moDlwEcJr68DxTFutPwFmOdtOWltqlGjhvaFsLAwrbXWcfFxOsOIDJrh6Fuxt3xSF5G6rOdaPPjkXKcfqX2u9+3b55TGcHwyJUebNm10ly5dbPMzZszQOXLk0NHR0VprrStVqqSHDx/udXndunXTQUFB+tYtz9+PYWFhGtAnT57UWmsdGhqqAb1ixQpbng0bNpjyvPDCC7pJkyamcnr27KmN0Mjw2GOP6a5duzrVqW7durZ5QL/77ru2+d27d2tAf/HFF7Y0a30uXrzodh+qVKmiP/zwQ1PatGnTNKDDw8NtaTNnztSZMmXS8fHxtjr26NEjyTrOnz/f7batateurUeNGmWbb9CggX7ttdds88HBwXr27Nm27Y4dO1YHBgbq2NhYfeDAAQ3oU6dOuS3/ueee0z179rTNv/baa7pZs2a2+e+++04HBwfr2NhYrXXS75cKFSroYcOGmdLs9/Xo0aMa0J9//rkpT6tWrXT37t2dyouKinIqw1Hu3Ln15MmT3dbJ1WfXrm5btJt4NDkt5AOBXkqpVYA/xo2c+4C6wHt386MgPbsYdZF4HU9Q1iD8M7rv8ySEEEKkdV26dGHx4sW2S/qzZs2iffv2ZMmSBYD+/fszevRo6tSpw9ChQ9m6daun4gCoWLGiU5/gbdu20bp1a4oWLUr27NltLcsnTpww5atcubLtdcGCBQG4cMG4Kh0WFkadOnVM+R3nXeWpV68e+/btc7ud4GBjzItKlSo5pVm37Up0dLTtONnz9/enTJkypv2IjY0lMjLSVse6desmWUdHN2/eZPDgwZQvX57cuXOTLVs2tmzZ4nQM7TVo0IC1a9cSFRXFli1b6N69O0FBQWzevJm1a9dSsmRJW0tzfHw8Y8aMoXLlyuTNm5ds2bKxcOFCU/m9evVi1apVnDp1CoCpU6fSrVs3MmY0Bu+7k/eLK45XHvr27cu8efOoUqUKAwcOZN26dV6XFRAQkCpPbvVquEKlVCZgOtAKaA7cBrJg3ND5P6312RSvWTqx8cRGACKiInxcEyGEEGmZHqZ9XYUktWzZkowZM7JkyRKeeOIJVq9ezcqViYOe9ezZk2bNmvHbb7+xevVqHnvsMd577z1b/19XAgMDTfM3b96kWbNmNGnShBkzZpA/f34iIiKoX7++002fmTJlsr22DmdosVgAbF1XkuJqGETHNFfb8bRtV4KCgrhyxfE2PWzBqaeyvKmjo4EDB7JixQo+//xzSpUqRdasWXnxxRc93jjbsGFDvvzySzZu3EjJkiUJDg6mQYMGti4l1u4qAJ9//jlffPEF48ePp1KlSmTLlo3333/f9KOkSpUqVK9enenTp9OmTRu2bNnCzJkzbcvv5P3iiuN7qHnz5hw/fpzff/+dNWvW0KJFCzp06MB3332XZFmXL1+23UCakrxqIddax2J0UbmstR6mtW6ptX5aaz1UgvG7035+e19XQQghhEgR/v7+tG/fnlmzZjF37lwKFChAgwYNTHlCQkLo3bs38+bNY+TIkXz//ffJ2kZ4eDgRERF89NFHPP7445QtW9Zjy7M75cuXZ9OmTaY0x/ly5crx999/m9I2bNhA+fLlk729pFSrVi3JVm1XypUrx4YNG0xpjnXMlCkT8fHxTnlefPFF2rVrR+XKlQkJCeHw4cMet9WwYUMOHjzIrFmzbMF3w4YNCQ0NNfUft5bfqlUrunbtStWqVXn44Yc5cOCAU5m9evVi+vTpTJ48mbp165quBsDdv1/cCQoKomvXrkyfPp0pU6bw448/2m4wdXW8wLgR1to3PqUlp8vKj0CvFK9BOuefQbqpCCGEeHB06dKFP/74g4kTJ9KpUyf8/BJDjf79+7NixQqOHDnCjh07WLFiRbKD2yJFiuDv78+3337LkSNHWL58OR988EGy69mvXz9Wr17Nxx9/zMGDB/nhhx9YtGiRKc+gQYP4+eef+d///sfBgwf55ptvmDVrFoMHD0729pLSrFkzNm3a5DRKTVIGDRrEjBkzPNaxWLFirFmzhnPnztla4UuXLs2iRYvYtm0bu3fvpkuXLty65XmMjnLlyhEcHMzMmTNp1KgRAI0aNSI0NJTTp0+bAvLSpUuzZs0aNmzYQHh4OK+//rrT6DAAL7zwAufOnWPChAm2mzmtUuL94sqHH37I4sWLOXjwIGFhYSxcuJASJUrYuka5Ol5g3HhbokQJSpVK+WGqkxOQBwK9lVI7lFJTlFJf208pXrN0olFx4w39xZMp/mwlIYQQ4p57/PHHKVSoEPv27bONrmJlsVh44403KF++PE2bNiU4OJgff/wxWeXny5ePH3/8kcWLF1O+fHlGjBjBuHHjkl3PRx99lClTpjBhwgQqV67MwoULnbpCtGnThi+++IIvv/yS8uXLM378eL777ru7fvCMK08//TQBAQH88ccfyVqvTZs2fPPNNx7r+MUXXxAaGkrhwoWpVs0YanncuHHkz5+f+vXr07x5cx599FHq16+f5PYaNmyIxWKxXfkoVqwYISEhpv7jYDy0p1atWjRv3pzHH3+cwMBAOnfu7FRe9uzZ6dixI5kzZ6Zjx46mZSnxfnHF39+fIUOGUKVKFerWrcv169dNI+e4Ol4AP//8s21Yx5SmktGHKtTDYq21bpwyVbq3atasqbds2XLPtxseHk6ZMmXwG2n8Jvqn5z88GvLoPa+HSH3h4eGULVvW19UQ94Cc6/Qjtc91WFiYacxn4TvR0dEEBATck21NnDiR+fPn24YGTC+aN29OSEiI0xjv95qnc71nzx6eeOIJDhw44PFJqp4+u0qprVpr57Et8fKmTgCtdSNv8wrvWJ/QCVAwe0Ef1kQIIYQQvtarVy8uX77M1atXPQZ9D4rLly/bbvzduXOnr6vj0ZkzZ/jpp59S7bx4HZCLlHclOrFfUpGc8rBTIYQQIj3LkCED77//vq+rcc9Ur16dy5cv89FHH1GxYkVfV8ejJ598MlXLl4Dch67dvgZAnZA6SeQUQgghhHiwHDt2zNdVSDOSc1OnSGFXb18FIId/Dh/XRAghhBBC+IoE5D509ZYRkOfM8uD3ExNCCCGEEK5JQO5DthbyzNJCLoQQwszTUx2FEGmPtyMXuiIBuQ9Z+5BLC7kQQgh7gYGBnD59mpiYmLv6khdC3Btaay5dukSWLFnuaH25qdOHrF1WpA+5EEIIeyEhIURERHD8+PFkP7lRpKzY2FgyZcrk62qIe+Buz3WWLFkICQm5o3UlIPcha5eVXFly+bYiQggh0hQ/Pz/y589P/vz5fV2VdE8e+JV++PJcS5cVH7IG5Dn9pcuKEEIIIUR6JQG5D83cNROAbJmz+bgmQgghhBDCVyQgTwNyB+T2dRWEEEIIIYSPSEDuIxvPbbS9blSskQ9rIoQQQgghfEkCch/56+xfttdKKR/WRAghhBBC+JIE5D7y04GffF0FIYQQQgiRBkhALoQQQgghhA9JQO4D9k9d61K5iw9rIoQQQgghfE0Cch+IiY+xvf6m+Tc+rIkQQgghhPA1Cch9ICo2yvZantIphBBCCJG+SUDuA3sv7vV1FYQQQgghRBohAbkPRN6K9HUVhBBCCCFEGiEBuQ9Ex0YD8GzZZ31cEyGEEEII4WsSkPtAjyU9ANhxbodvKyKEEEIIIXxOAnIfuBl7E4AmJZr4uCZCCCGEEMLXJCC/x+zHIG9RqoUPayKEEEIIIdICCcjvMaWU7XW+wHw+rIkQQgghhEgLMvq6AunR1t5bWb5tOXVC6vi6KkIIIYQQwsckIPeB6g9VJ+vDWU2t5UIIIYQQIn2SLitCCCGEEEL4kATkQgghhBDCrdhY+PNPiI72dU0eXBKQCyGEEEL42PTpoBRcvuzrmjj75ht44gl47TVf1+TBJQG5EEIIIYQP7doFPYxnBpI3rxGYKwVjx/q2XlZvv238nTbNt/V4kElALoQQQoj7xqefQtWqcOWK53yHDkFUlDnt99/h0qW72/6VK/Dcc7B4McTE3F1ZAG3bQpUqrpe9956X3UTOnoWLF+++Mi7YPT4FAIslVTaT7klALoQQQoj7xjvvwM6d0MLDs/V27IBSpaB+/cS0iRPh6achKOjutp8nD8ybB88+C+XLGwHq4cPOgas3/vsPFi3ynOfVV5MoJCYGChaE/PmTXwEv9O5tnpd+5KlDAnIhhBBCpFlaw8mTxl/71tl//oFvv3W9zrPPGn+3bTP6ZH/5JXzyibnMZImJgfPnbbOZuU1+znP4MGTIACVLwoQJySwTqF076TzTpyeR4ejRxNe3biW/Eh4cOACTJ5vT0mIf9weBBORCCCGESBat4cIF7/J9/z3s3Zt03uhoI3B2zPvZZ1CkiNHC3ayZedkbb7gu69ixxNd588Jbb5nTjhxJuj4m9etDgQLM/fQ4xTnCbbJwngKUZy+ZuQ3AqFHJK/LUKfN8fs4Dd9DMXrZs4uskm9OTZ8sW57S1a1N0E2a3bxu/Au7Q4cPw3XcQF5eCdbpHJCAXQggh7sb48dC8Ody44eua3DPDhkFwMMyfb8zHxsLVq875fv0V+vSBihXh5k335UVGQtasRuBcsSKcORkP339P9M4DvPOOkeett2D1aud1hw41boB8803v63/4sPd5AaNvCfDcO8U4wsO25L1U5DZZeI+POHcueUUWLpz4+hmWcJ4CxNdvhMVi/DiZMyeZdQTjrssU7EtuH9jmyWP8vds++B5lyQJlyiTdj8eNiiWjGfBaDH36pHC97gEJyIUQQiTL2bPQsCHs3p2Q8Pnn0L17+rzbKzQUBgyAFSvgqad8XZt7xtoa3K8fPP88ZM4MuXI5B2vh4YmvX3456fKs3iyyAPr0IaBqGVuau94YY8YYf7/6KnF0kqTY1yslfMQQr/PGxcHUqea0JbQBwG/9OtSpk2TJYu4j/+WXbgq7ft05bf1620utjR9CFouxzePHva4msbHQrZvx+vXXE7uqJPnDZ9myxBNh/cWWhKgosETfts1bPvrY+4pi/EAMUNFEkosdVGXa1Pvvf5EE5EIIIby2Z49x/9i6dVC5ckLioEHw44/wxx8+rZtPfPRR4uuNG5POv26dEcTfC/PnG8OBpHC/4oiIxNfnzsHcuYnzO3cafwcONEYOCQuDoYziSwYwZ45m+pCDRrP57dumMsPCzNuozC7b60f4D43iIol3Y3rTXcYTu+7gSfJzFfS68GQZ76Ldr76Cnj0T55s0cchQpAgA2bIlJr31lpvCXO1Iu3a2TvJduhjlZMhgbLNYscRYOSgosS+9NXC316hR4uvcub3r7058PLRqlTjfsaP7vEuXQrt2XD9znbx5wS9rFtuitdmf8WJjBq1h5EhozJ/4E0N5wijKcbZu0axb57rbTZqktU7XU40aNbQvhIWF+WS74t6Tc51+pIdz3bq11sZXoDENejvenJBO2M71M894v/8HD97bY2XdzrPPpmixSpl3w35autSYrPOP8K9tph9fmTNfumQUeP26ntnyZ52NazojMe4LB52P87ZD5yGbbWrSROt27bSeOFHrfPnMy+bM8W5/j475zKuNraGRbZfcuXTJedUbN1zsjHbexwYNtL5+3aHADRuMhUWKmDN37erVMQoN1dpiSZw/e9Yo9vffzfk++EDr1auN15kyedjBP/903si77+qoKBd5E5afevZ115ULCNB6xw7PB1RrfeqUkf01vjGtv6VKD9tsbGySxWitU/9/OLBFu4lHpYVcCCGEW/PnG61pmzYZ8/Hx5uU/fOHQcdhxSIZ0Zp7qyDMt3Vwur1fPPO/YLJyS7AfgvsP+uO5oDf0YzzS6Oy374ovEBtLM3OY/EptVxzPAnLl3b6OrT/bsdF72AtfJwYH8DsfIQQin+Ocf43Xx4p7r2aYNrFoFC4zeL1y4ANWrJy5//nlzSzUbN5o6l8dHx1BcHaXYkEGeN5SgMaHkzeshg8XC778nziqM90lgJveDmW/blvh63Tp4/33jdWys0TMketMOI6FmTfOKM2ZgiUu628bJk7B5c+L8yJHG3+bNzfkOHYICBRK3PWWKi8IsFuPqh6OxY8maFTJlSrgwojWMGGFbXGiRm6FyoqONAeeTEBEBWbnJt5jv8K2xc5p9FbBYjO5CffoY74k0x12knl4maSEXqU3OdfrxIJ5r+war48edG7EascZt696DLCwsTOvffnPb9HjypIuVXOVNLZs23fV2IiKMBk+LxZi0NloaHyaxpX83Fczvh0bG3ydY5fbY3M30WYOltvrFxSUu6t9f6xw5Euc7dDCWO/rxR8ciE3bsxInERItFn89b1mnbQxmpGxBqzBcoYKznkCeEE84bjYy0LV/X7isNWr/HGH2ZXLo4h7Xev995X2/csK3u6i0zalTCa2tixoxOGZuXP5bkIX3uOee0+HjntCNHtL5508NbauxYrXPmdLmRSHJosGjQ+rPPXOxQUpM7CW/MKVPcl2ndrrfF+rKF3GViepokIBepTc51+vEgnuskvytdJS5YoPXmzb6ueuqJjdVxWbN6PDDvdj2lt293WM9d/sjIlK2f9Rq+/bRtW7KLcV1di1NiXdZrP+KSfl+kwBTfpq3HOm/frvWIEVrfvp30fr3Dx1qDPvfrv1rPmpW44N9/XW67PfM0aF2MI1pfu2YU1qyZKc/z/gtts//95/pAOh3DJ580/tavb07/7z+tjx/Xfn4Onzm7Ik0LHLqLPM5a0+LKlZM+xHXrar12rTntn39cvyc8vllKldKD+MQ2/xS/6Wxc06Hl+nqsQBx+zumOJk/W+pNPtG7WTJ8oXEc35Q+35RXlqNvNWX9k2pOA3IeTBOQitT3w57pOHeNfyfHjvq6Jzz1o5/roUfffnXPnWr9BPHy7z56d6nW8fdsIGLztI5oiAgI873fCtIXqWsfEGOvcuuU5f0pyVX7z5ilSjH2QZT/tbvyGbbYb07w6Pp6mW3sP6Z/o4v5Yffed8doW9SbPzZtudhAXfd0TpiIYLc6LFtkVFB2t9c6dpnzWl8HBrg/kt7zqetsvvOAy/aOPzEkWi/EWzMTtxMRZs4xtLV9uS2vFEtviQ4cSq/y//zlvRhGvN/CYnksH3aNHYvru3ebjNm5c4rJq1RLe3jNnOhU456fbpvsHvJme42eX/1OmfHxe//TZOaPTvxflzJub+IOnDhtdZuvb1/X7QgJyH04SkIskjR5tfFSefPKOVn+gz/W1a4n/4XLn9nVtfO5BO9eLFrn+zhswwFg+9mPn1lLHKSbGaJyNj0/Ghjdt0nrIkMRg1oPXE+4HGz78jnZRa51Y3XPnkrmCdZo82e3+W1zdAXnkiHNaSnJVl/79vV49Pj6x0dZ+epS/PZ7rvFw0dWexvQfqNzLNf9HSxY1/jlN8vNvg36lyd+L8+aTrYDe9wne2WVctq/Z5rS+bNNHmOyaTmgYO1PqJJ5zSz20+ofPmNSe3Z545YcuWxLp06qQ16K78qEHruX7Pa128uHHlJOH8OvZoCiGxy05bFrg9tDt2aF2CQ6Z8jvVdT10NWhfExZUa+6lxY6fjtmyZ1qswH4MOzPX+GMbH6/XrtY7E6L/0U4FBLrO1a+f6bSEBuQ8nCchFku7yi3PfvjA9b57RV+/ixVSony/d61Ej3LBYtN671/Nl6nshRT/Xf/1lBG7JZLFovW+fm1j2xo3Ec/Xvvx7LuXFD6/z5XX/nWS5GaD1jhinxDca7zNz5uVjbrFcxYXR04vrDhiUO+2Dn3Dmtjx0zXttv7uuvvSjfgf1oEtWqJZH5o4+0rlDBaR+3btW6Nv94HzQ4VhyMISxSQox5lJKFtDFvJ4lfLvZvEfvJj7gk92s3zsdGg9GK/c8/OuyZwTojMbptW+26o7LDMToTftX745lcAwd6VfbhOp30nl17dWSkMaCJy2Bca+NqUMI62bmaWLWICO/fF9Y3cObM5vTAQKe43mndq1dtVYnt2ceW7tQ9xm4HoqK0LspR3ZzlTuUp4vWwYc67GblxjymffSBvnZbSwrv3zOHDOn74CK1Bt2O+7SPwQsMzei4dvD9uDu9tiyXx+MTmze8y65Urrk+jBOQ+nCQgFx7FufiHMmqU16ufOqX1K69ctK1auXIq1tUXli1z+Ja4t6z3QpUvb/x98cV7XgWTFPtc79hxx8d0wQJjtbauutp6Gch4ipWqV3dRDrgOEkgcps46tWtn3Pi3f7+L4KZzZ/cbnj5da22sU7iw1oGBKdPQbL+u/fsnLMz4YePx+Nntu3V6olESgab1B8bSpcb4cfbLIiKSvwP2bt7UeuNGW3lT6KHH80ayDlKNGq6r7djyHf1oA8/7CVpPm2Y6yaGhRnL9+sbxPdb8FVtepx90SRxzp7yRkUYfK2917ep12V59rh0i5vcZbaxudxdpHpIIzhcuNMrq08dlPexvwHS1fMwYoyvZiVptbelr57m5EhAZqfXp027rUoAz+oSL+1N1gQJJHjP7z7zL9x/oma9utDtkxo2X1rdKqVJu9tGb94HVhAlGWv78ev+q43rxYq0feSTpj4AE5D6cJCAXLt2265uX1AffjbNn73jV+4fjzjVu7Hpog3u0+WQdX4tFu/7GuTNRUVq///45vWLFHRZgbZps1MgcFSWrr4fWNWsmrup0r6DjwXJzycZx0Af7Pqy9W51xKudSSCUNWg9lpJFmd+XkWX5x+zGaOdNuo2ecy3V1chcuTJy1/hCzn7zudpLgpZfMb1+ttf7D7h6xNm20cXIvXHDeWI8e+uaiP0xJO3cm5HdV/0aNzBtf5TASyU8/Ja/yds6t3Om0PdC6Cz8l60Pi7tB/3SnxCsDXvG70wX7zzWT9n9yzxzlLBmJ1iRLa3PhRpEjiSm3aGGmublS1TuvWJb5essT9zlksRnkDBmjdqlWS77cTG4z7Yrz9vj6GeSzwgkG3TS3x4OEAg9GPRGutixZ1XrZnj7Z8MU5nIFY/yQrTstKEm7I+ReLoP7E9ernf3rvvul32Jf1d72SDBm7X+YRBuh5/mZL/+stY7eSwH3Q8Sr/O11oRr0Hrl192/Xaxzj/O2qT/J1injz8219NxPPSDB7XWRk+48ePdn0MJyH04SUAuXErqi8aLvhFz3XR7e6C42MGfRx1M1U3evq31U09p/cUXro+vtw/70O+8k7jCrFla//33XdXLvg7WQPi117R+7LGEh3ns3at1oUJa//yz6wLsI0P7KeHa6rZtWk+datzS4DR6h51HHzWvfumS1tcPnXP7Xl5ZZaD91W6ttTFAin3AdO7Db/XDHHQbUFxbt802e+GC8wFx9zEqWVJrHROjY9Zu1Le69fb8mUv48ISEeM7SqZN352vqVK23bnV7H50uylH9BuN1SQ54rI/jyBXW36NjR7r4Ud+ihbkSrvoX34Hz512fF9A6kOvOy1z0uzh3zkh20SNHV2aHPl+liS1hxLt2T3mJiXG9kov3+eXLHg+lwTp6if0xst6x69jx2d1kvcH8wAGtP/00cX37oQ2rVNEadFyTZvqPAl11RXbpRqzRldjpVClvv6/jMd8v0IBQHdXP+D/zLh85f37q1zc/rcg61OGYMW737SWc71fIQKxTVq+OkxefNydNm7rNbz/78staDxqUuJqr37PuNjcvoXu8wvXVprEM1u2Yrz9gRGK69cYWq4sXzev5+Xl1DiUgd6wUZAWmAleASGAKEOAh/4vA3wn5I4DfgUrebEsCcuFkyRLX/y3KOo9L66p/q5V1EAD7qWTJe7gfKcBiMQKO6tVdLLS/odNuqsl/9kPo3pGLF43WyvnznZe5+6GT1PeIkzteMdHly+biMnNLZ+WGfvpp80AcTz7psD3HoQu0djuGb9z2XfrKFedFS5c6F6G11k8/7WK3vPjyjXq8mdbaeEsXK5a4yPr0O4t/Fv3bVy7GS044btaXDz9sXC1290XtOP1Dba/qZ93O4MFJZ/v9dxdPNLRjP6xb48Za5+KyfpIV+glW2dIdWzsdp+t16zr1aLP/nT59uovj3q+fc2UcW/LcdlJ277ffXJ9j68t6/GVKX73Q+AW2aZPWv/xiTNbF2blqC/ByckUf/tchsHnpJecK/Pdf4vLISOM+ADfu6jOrtVF2bKzn6B6MH9m5chmvBw401q1Y0Tnfrl1OSdm4Zroy5fX3dYsWbutjvSn0MMWNtIAAYxu3bxu/4m7dSizn9m3jl6LzoOl6Cj1M8wP51OUm59He+89Vck5KtWrGsm+/NeXdTQXdtatxcchde5WnTWXM6Hya583TegeJv3hfYrL2J9q2zvMk9tvXhw+bC3D1Y/fkSeM4X7rk9nMmAbljpeCHhAA7GMif8HqCh/yvAU2BQMAfGAOc9RTEWycJyIUTV/8t3n/f9TLrNW57J09q/c03LlstwON31V07edII/nbtSpnywsIS6+00quFPdpfCixe3vW7CSp0pk1cDZLhkf/XZ1XfCsGFJf4+4indtYmK0bu/my8rxn7oH1t3/+uvEq+0R5NEadCDXnb/b7Gfee8+5QDc7M4Bxyfq+dMxTn3Vuy3aa4uN18+Ye6u04ffml0czsIttiEh8p7271zCQxFKDD9Nczn+kOLu71+vBD7XTMlTJuwvN0jEqxX+/D/EM7KzeS3u+vvtL7N2/W33+fmGQaCk8bQf8AjDHiZtBZb8jVwv2dZPbD5nn6JWEvNFRb6tbVN7eG6Weeca6vdT9cnceRDHV5e0xujOe6r6eu9ifa9b5b/xc6WrXK6JOSBFdFJtwekHzevnes/6ddLbt1yynJ8b5Xr7+vPQxtOZmXNGidn3N6eqPp5gD8DvcxpnEzt4s3Usec8MknxkhYno5TXJz+jLft3jQO7Ic3PHxYWyZOss3n47xu2jTp3XEcat3d50frxBuuq7FVd2OadnzITxai9CJa680vfZfsY+fyx7GWgNxcIQgAooEn7NKeAKKALF6WEQhooFpSeSUgv79EJVwp9dAwffdcfXitnV2DgpyX2XMYJ/U6gbo4h03ZvRoOOD4+YaDcO6/6+fPJXt3JgAGJ5Tl1b7Xb2A+T4vVKjEvaHZir4Y4GCHEs1nZ47eMYVwH5iRNGYOzw3eLae+95/kd9B/Xs1k1r+9EMPiFxqK3GrNaraawtefIkrjB2rNa//po4hvLWrW7r04olplYh+8k2tnBUlNYWi16/3jnPQD71vL8Obxr72RxEus/r0P/ecbH95eYuT18yPXfFcbnLHXOzrCz7nJLPvm+c/P2U0t/xisfTaT8IiavyXXYtcJgiIrTeudPcb9c66ouVtUt8Tq5oMLoueVQkoUXe2x+Fdhu3DkOnQY/gA1O9SpY0/lZgt2mdxHvzLLb3V0t+TfxM99/tev89dcD1gn1rvHW6g4sCTsfA42Ttu++YnjOn1lo7vTcdx7RP1ve1myusLfnVNrtzZwrt4zH3T+LcQnVzQliY0RoUFeU0QpK+csV2RaBPxQ2J6ZGRRle+tWud62JtBl+7Vjfjdw1ejFKUwPH5Bu4aUCZNct6v7dud00JD3WzIehexu8nFG8+XAXlG0p4yQBZgq13aNoxAvTSwy4syrAH8IVcLlVK9gd4AhQoVIjw8/G7qe0ciIiJ8st372dKlORg8uKApLSws5Y9h2YS/l3r1Ii4oiMD16zldsSI6PBzWraNshQqm/IdCQ4l76CFj3eefNy3Lxk1+De7GoYk/8eyzxQH4/XeSPPdly5UD4OSkSdx8/HGv6m2x2NceJkw4x3PPRXq1rivnz2fkq69K2uZffBEeecSod+Bff1HYLm+vPn78QFEAKrGb+XSkRAkoU+YWgwZdoG7dqGRsuaxp7qWXLjFtWl4AHn30Jps2BTqtcfNmOE2bmtddt+4QBQvGOZf+8ccet/7N1ydp+uRNl8synTpF8IgRRNWqRQCjiCYrT7OcL3/swhGW2PIN5jPe4VMA1tDESLxsV9C779peHvj3X0rXrm2bL0M4++3241daA9CTyUylp6k+I0de5pPiX1NgxAjic+ak/tVI27IiRWK4fuIGnzHYtE5fvqMox3mXT5z2b2+ldmTkT+LIBMDKaf9AD+fjEBMSwpGbN8Huffz119no1y/ENq/x4xb+ZOE27Xa9S5nP36JZs4KUyH+Fvhc/otKK750LThAeG4te/zdBs2ZQdeIQTpNYbhjlWUlTdnwynWXLctCo0Q0KjOwHQGkOUpqD7KAq39MHgH37wvHzSyx79epsYFeeo495n7I4fz6t+/Im4yj842nOn/czLY+ODsfxY/3ZZzkYNy4fV8/CqVMxhIcfcbnNnj0LM/dEPCFAXO3aHFq/3m39rOw/JdPsTtIoPrC9/vPPQxQoEMflyxn4/fd8xrXjBBnPneR1FvMN1mO3n0AS3/cvj6/kcrun4+K4fhffXeXLQ1gYREb6UadOaZ577gr795+/o7KKVq5MwK6kQ4Kr2bOTLTCQDE4LrhIeHs7RozkB4394SEgMhw6Zz1Oyvq9Ll6ZA27bkWrjQlLyMVuzdG05kZAYyZ453eq+4U9bDsv1XrvDnn7E0blySoUPP0blzJG3aFGP//iw8m30lJ64H2fKGaw3HjhkzNWtSpFo1sm7fzu0SJTh67hycOwdAn2+zQMOElXLlsq0f2aEDiXMQfiThGAUHU7BHPpgG3313gPBwS5L7pLV5z7R2/uwABAYGQML3ytat+8maVXP1qh9GKJgoMvIo4eG3nQsoUADCwij63HMu3yfh+/c7pfk0NnMXqafGBEwHtIdpNFA/4bWyW88vIa2eF9soDVwAXvGmTtJCfv9I/GFrsd2lneKsI134+3tutrFv0cye3ej07DgEYMJ0O2HEAPvkQYO0Xr/eduO3wdonslatxIxlynhV7fh45y6Vbi8DJ7SEWDfjbjeHDHHeHVtLxqd2ra6PP65B67ME29J6M9G0njf1j483Wi/zEKF/ootuQKjXDWBW9mlduxqXPE1cNa+4mlatcl1RuzyzeMHYtpsyBjBOhw37Oclt3c4TbJq37ZOLvGDcLGWdnzLZuZ9kPf7SnzJQ7//8V1P657yV2DAUF68LcdLldm6TST/PbJ0tm9a6Xj3X9ba/WyvBihXO2Uw3uVmfv20dNcNh6s5UrUG/wCzbTV3Wz7ur/Ge6DjZa0l980eXyphijn+TPb36P2z62eDnGte3YW3QIJ7TjZXNI7KLsiv1oS+56rIDWy7HrK7R4sec+X3v3uq3nww+7H2jk2iH3D8P5mee8OxZumyN9JCbG6Ax/8qRx00kyzqnxATD/73R1BTPZ39cOdzCOYoj1mTzJ94mbhyM98ojL7JGRWn/2mXGFxpbgeNe21YkTzqM4efMgo2SO/OSKwylwK2NG4/Ytd+uCFwN7OfR31+C2e1W66bICZAOCPExZgaoJwXcuu/VyJ6RVTqL88sBpYLC3dZKA/P5g/z9iKS10JDl0BmL15s0pvCH7p4R4WyFIvNHFxRSbO7fW8fE6MtJ1Fluw4OELwxNXfUHdrvrGG1oHB+u4C5dseVaudM7m/vveYvyHtEvcvc4oawLmsXNd1mPnTq27dzfGv02wfMpZPYUeujI7dGBWi/6exLGwptLd7b5Nnap11apaT5yYWLz9IArWafTohIWOd90nNbn6L++QpzWLkldmElMcfrZZx5u3NOiVX+wyxna+g7Kzcc10PqyvfxvmZuQK+6dPFi2qdYYMxutBg1zeteVqSOM/sBuRoXFj52vVCdON5u30K6+4r34r3NxoncTUgFCdlRu2UWnsg+P3cD+SheM06tUzHrN4+u1uP4Kq44249s+MKYDDsI8ZMrgt89Soqe4rk5S7fZ9u25b0Nnzp8GHv9yWhH579v3NXgy0l+/vaYtG6Uyd9oE5XXe+hQ3rpr3faJyehrMOHjTfSiBHGSE3JeBbGHfF0zAICUmQT1rHG//wz+ev++6/WX31lDEbjVdfIDz8070OuXG6zppuA3JuJxD7kje3SGpNEH3KgekLL+BvJ2Z4E5PeB27f1pkf768as1vatZa/yrVffP8liP0RFUpLzJfbQQ1pHRLhdvHChh/LsHhZy7JjxzBh7PXpo7arVDlw0jCQsuPrpBFueBg2MUTH27nW/a9YBZjr4LTAvyJDBbtb8I8V6fsAufrPvg5/A1DLoYkpu3FGmjJu89gN0g9a//64HM9b9tr//PrHQRYuMMQztlh+laPLeA6CL4eJJNnaTfV/x3kx0nc/VEHNeTPbvEa2NBusxY4zGrsrs8Ly+l9+aK1cmrlK/vta3/3HfN9463erQRWtt/P4JDHSf9Ts8ROwepsU8o0HroUPNI0veKuBw/lzdH1Knjmn/Bg1yzuJNg7E1b86cRjfe48eNoSWfecZcllPhtWu7LO8QJdzvcxJ+7eBiXPLkTHd6t/a9lNRTOG/ccOqrf+yYcdXSlXT3fe3p2E2YkCKbuHXLeN7BPWHfGf34cRcPaEgkAbljpYxRVjZgjLCSP+H1RA/562IMedg7uduSgDxlLV5s3DuSor75xvZhaoZdCzZGsLZmTQpuy3rHYM2aWmsjSC1c2Ljpx4n1SWAupgzEOo8X+9VXLrNn56r+mtc9/xNMuNxvnb14UWttsWhL+8QhJwpyymm1LVsc6my30Nrtx36yDgEMWgdzVq+hkT47Z60ODzfSIsnhVDf72RNt+7tcVq+e8/ZdPvvcxeQquX1796fQ1bjSTttp00Zrbb7h8ac3tzmteKVoZdMNc3czreBJbf+j5Trm6PMHeppWCeBmimxXY77J1PHmQ+uh8VhGwkgq3pg71+47+7qLMbDtp7feMjUv9/LwDJMMxCa9rxaL1iNHevUesr0oViyx8pGRzsOb2nH1BFNvbki0z9+xo2lQItd1sp8cxhAdO9Y8go1p+t//kqxLVJSb7dhPTZsarbGbNxt9pOrVu6cP/Lprjjct2k9//JHs4h7U72u3PA0afj+KidH6gw+MpvUkSEDuWKnEccgjcTEOOfA+sNduPhSwADccpvpJbUsC8kT2l+1efjl56w4fbv7MuhlR6M54+OKwvnRqwNuyxRj3bN68O9rWVqo59GPV+tVXva8baJfDhtV2MeTyF7h5CFHDhqZ549K3RQ9jmJ5U/GOn/ON5Q4PR66ZJwjM8TH2oHUau6IfzD4StWxO7wKymsWmhq4Do4LT1zsGJXUu06f94rIuAykNfWOsUxAXjePpr3b+/h8aNxYu1/uIL3amTczFO5+rWLX3rltZZuZGY5mZc9ZSY1vK4bbYK2/Vftd7Wj1U092EGi9PDA2+T8Gj1li2T3EY13LdG28+664njsXzHYSeSw90Dj1w8JfSpp9xXYdo07bmPsP1l/LZtTcuyc9WUtVkdu2P/6afmSjg+vdDFsfKw2CVv3iaNGrnJ2LChrZyrCdVey+Nag55Ydpy2jb1YtKh3ldE6sam/cmWtZ882by9LFu+HXkyrRo9O3J9duxJfDx58R8Wlxe/rVDdjhvG/PDjYuIz6zDN3MRzO/UMCch9OEpAnOufiYX62G0M8cHcPSIrwMPyZfaDx2msO6yUVgbiTsM5cOrjcpMViHrYrfvYcp0xG15qEKwUOy65H3NIrV5rjq9246YLgMFZ2pkxaN+RP13kxnl7222/Gbjz7rJE8cqQ29t/N4w0rsVN/zes6C1EajBs9D/51RodwQp/mIVPeF3AYG8xiMTVELV6ccAztHgeegVhdFeeWZ0/TKQrq+GcTAyrr8fT23B3+fpUOCjJdWNHH+jp0TdGJjUC1c4UZfZu1dv/4T7vpJgHO6Qn7fKVDB+eB1HFuoX35Za0LFkwct9w+T9++iflsP6jsgwoPn4Wy7NOWKVONdaw33u7da7vCMWyY+0PnstvKX395P16yOwcPOpfbpInLrNYh+sDo2rF4sdH13P4BTE43CkRFGcfc/nNuH5A5HN+SHNCX6tg9wMXxBrUDdk/m3LjR5bFyeCslKanT9+abxs2nbVmgL5LX9Ohz+41UrKi1H3H6DMaYhRFfz/SuAo4sFmPfIiPN9wp4u0NpnX0Lr9bGe/ivv+74h2Va/L4WqUMCch9OEpAbPMW9SXH3ZeOiASz5HAeItZvi8NOZuG1KtgXm9ondurkt3mIx4oW4OG0agaMtC5KKfzQY3TrsE1aM3qzBCIid6uFwUKyPJ99PKXOebNmMO4uyZDGlg9ZdSKL/54oVDpu1aI93yyVMP9JVQxJjQ9tNf70xz+kmPtNBTUiM8cvsVXn206QJRoBkqVRJa9BhAybqkyc9vEeioox+gdYyKlSwNeS8j3NgZq1s587Gy4IFzcUV5JTH+uXDxUgVCWyfa4tF68cfty2vVk3rEiWcb/a/TC7T+fXzM/rbv/GGwyg5LvpKfJbbvG/W9Z3e4F6wjpk9jgH6PPmMfifuRma4E/HxRl8Za33dPMrv5Eljcf/+SZRnvSTn7glYjq3cJD6Yxd25s7FYtK5bV+tKlVwGcH//7Xl1dzwMNa9v3bL/H2z09Y962q6V3+7uz1vYfaac+qTdAfvg1faP6wGwa5fW4eEpUlRa+74WqUcCch9OEpAbPMVISVXV3XpOrdbaeGLtxx8n48E+9k8GczG5Cpy11okP2UjiW9P+aq19fj/ivIofM5E4hEIJDtnSbV1+tm3Tkfb9ECZOtBv2wxhGMLJcYj+WS5mDE1vsvKmAqyky0haDO7Vqe5j8idYvMt2rvEU56jmuKVfO4/oWPz/Xy7p3TyzD2p/fxRB7JpUrO5fzyCPuI6CEPqTu6m7tFeGu7k7L7B4HafpcHzxoDIlp99i/3xwaPuuzTsdnyqw7MVOD0TjrlkM9Aknsn92Bubpy5bsbjaxoUaM4xd0PaXY3UmBENbdDkDblD+d0VywWtxWxvyKYnAe8uBtlqVy5xDz26U2beDH8nKsbAu7EqFFaP/HE/dVP/B5Ka9/XIvVIQO7DSQJyQ1L/991xHMVsy5bE11262GWMj9f63LmEJxo6DV7gnl0Xgv58abyePt20Uce6fj/cxfhr1kd82nHs0uypTE9TV37Ur/O1Ke2ddxK3ExYWZtw4Zp9h6tTER2kWLGhLL8rRxG4KXgzftYHHXAYZu9ZH6m5Mc7nOrP9d8X7n3EyOSTMdr5xXqeJ23VMU1Bvqm1sws3HNuTXy/fcT87gaxDcqKvn9vhMGjHYcKtLR4cPmJ90V4IxuzGr9MAc1aP1xfuOR6LpWLdN6Tp9rh31yNUSltRU7ycErZs3SumdPI2NsrH70UeNGx4zEaHDbC8Rr8fFGzxvT2Pj3K4vF6O/iqruM/WQdDzGZdu3SevbsY8lez101rOwHecqYURuXPDzV/2769guvpbXva5F6JCD34SQBucH+f3x8vPPgCNeuaaOJx6EFxX6gkTffNNI6dNC6ECd1j84Jl6XtmpRe52u9hFa6DQuTVbH3GW0OnDwEhy6/uB56yKlo++Gcp9HNNmNtrbT/snQcxjSp6bPPErcTFhbmPuPrr2utlLYoZQus7PczPuqWxw2B65tHk1onWTtz0zzaR13WO2VxutGyTh2ncj5ghL5JgC7GEQ0WfWLUdL2GRroq23T+/C7OfR/zuOZ67tzEZRaL0aXH0zh5Lqab2/fr6GgjvncVENn7/L3EbgLWrlGPP27EQHFx2mXfam8+1x0SB8a5qx4C//1n3ockH82eXrlrmu7V666KvZP/4W+95boq9ux+nxut1u7ezynVOi6SlNa+r0XqkYDch5ME5MZDzqz/4+2uvpv+99tu+KpWzbSufUOo1Xc1pyQm7tnj9gvFcjuJJkG7p3i8zWfmoQePJI7nXIHdtmIzEuP+CyyBxWLucuwYoObnnH74YWPWeknasfeDxWIeumzfPvPy775LrGpYWFhih+UkAmXrNGOGse6lS1o3Yo1T3oF8aq7/zSSGyCtcWOvWrfXmsaud9jfJyeHN4GrMc0/nToPOg/sx2N2WcdU8ConpqaV//ZW8fUiYrCO22E+PP+7+LRi1aoPWoaE6LEzr5cvd5zOd6yTYd3m4W/Yj/Ll6oIlIYL3L2fFDfBfu5H94aGji5t95x/l/rtbm35i6cWP372dxz6Sl72uRuiQg9+EkAbn5f7z9o53tu2GaMtn1rbQmJQzrbBSQ3GDPnR07bPmy4NzlxLqsDQsT68FCW/o1sjlvb+hQ02x3pur5tDPlcVUt+xZV65UArbX++efEx8nblzttWmKesLAwrx5HPHSo86GxjsbiT7TOyg0dXq611qAHtj9qyxcSkrAh+/5CdtO1wuVtdame0AujL//zXB9/f3NFrMMTZs2qtTZfMTDdfGjlsL9JvQ3cBpPu3i+unv4DRlcgDxty9WMiJUfyutef65s3jUEy7vix3OmF48gs1u5id+FOzrV9DytXT8jV2hgq2eX/3YT3r+X6jfvj4TwPkLT0fS1Sly8Dcj+EsJMrV+LrFi2gShWYSB9zptOnAYiISEz64IOEF//8k6zt3Ro+Fjp2hJgY84LYWLh4EYBN1KZanQDnlXv0ACAvlwAoWBC6d7hpW/wYf1OCw+Z1Ro82zU7jJdrzi21+Ni+4rGfBglC7NuTIAV98kZj+/PNQsaJz/m7dHBKUMvanY0eX5QOMGmWe378fli0zXt8mC1EEMrbmLxARQY7KxWz5Pvoo4UWNGrBypVO5uU7usr2+ccP4O40e8Pjjxonr18+5MjlzGn8fesj4W748REbC5csAvGB3mJz2FYz9vXYNXnoJvWev6x22U62amwVvv534ulSpxNf79zvnjY833hM7dkD//k6L/+FRQJnStm83qnq/ypoVevaEQoV8XZM0rvD/27v3OLvGe/Hjn28SJEIiEhQp4RAhJVKRUNqfH+VUkzS90HMoLfWrorRoOKrUpU0pfqppX/o7blEOjgbnKFr31P3SyCGhkiBx+9GeBIlEEOQ5f6w1M3vv2ZNMYmavmb0/79drvfZaz7Muz57vmpnvfvaz1vok/OpX2fw668DGGxfSjPXWa5nfZ5/q62y2WfXyG/kqEMR6fWGttTq8bZKKZUKuZtUSk4emLee7XFJe+PLLAFx0UUvRiH7zsx0ceOBqHbP3WT+CqVNhnXV4pilv+/WvoW9fuO227HBsUf3/Z56UXcZ32GkneO45mDDiJQDSwQdz/TM7Mp+tWm02lizLXYvlreq+wTVcemnrQ0XAo4/C4sVtJ3B//StsuSU89lgb6wwaBNdfDwcf3Lru6qsBePrplqJhw1qvtvyjnjBwIEuWtJQNHFiywr77lq3/Oe5jBT0BePhhmDs3K3+PPnDffXD22dknjKOOatmoRw+46SYYNQpuuaWlvH//LJnJ23bNNfDnP1d5n03WXx8uv5wYvgOzZrUUn3Za61V7925jHxdcAPfem80/91zWT1j54Q3g9tuzdkP2KfKii+Dii8uym7v5fKvNdt55Je1XfTnqKPjlLyk7GWssIvsbsnhxy+laqTRpP4Srm+fv53Nlv6aS6kxbXeeNMjX6kJXSkQVVb+lb+VUvZM8mTyntv3+2uOGGaeXjEdo5DeCNbPhARfmlHFH9yaGl6zU9We6YY7Lliy5qXqWtx73fwtjW7egErWK9aFFKkyaVfzf9wAMppeoPZ4LsgWmbbpoNUUgppbvvbql76aWKA86Z01xZOr6+dDr22IptFixIadCg7B7o7b4n5ZrbbbeWtjQPuWnLG2+UN354lQcprczFF6c5/UalAbxRtsldd3XY22nWVX6v1fk6K9at7gCUz0zgP9q6fbs6mb/XjcMhKyrM1S0dMOy4Y5UVZs5sXXbdddx0E/zpT9lildEBrfyU09ibewCYMPTZquu8yUDeveG2VuUb89/Ve8ibek6b5mfNynpFATbZBIDZs2EZ67baNBGMo+JYu+226jfSEfr3h1NPhdGjYdq0rNduzz0B2HDD6ptMnQqvvZYNUYDs6+7jjoMzzoAttqhYeeutm2f/m+pfzU+eXFEwaFA2pGbJEvjEJ9bgTa2eE07IXseMoeWbkbYMGFC+XLrBoYfC44+vfPujj2bo4r/wZir/4X6+dYe5VLiePaFPyQi9kczgOCbznysmsPbaxbVLUucyIW9wZ521ihXGjQPgXXrzE1pWfvprP2ke+lHtq9cpB98FwJ3sS5D4CT9lGnsTJEZ/s8pYjNy6Xx/Xquwe9qFnzyorlw48Pugg2GmnluX8P9d228EdPce2ebwyzQPha2ivveD445sX11oLHnyw9Wr554sykyfDmWdW2WevXnDzzXD11SyokpDPmVP8uOkDD8zy6oceysblr1QE7L576/Lvfx+uugp23bXdxz3mmJZdSl3VO+/AH/4ADzwATzKS33CcJ61U50zIG9y8eW1ULF8Of/lL82Ia/il+w7HNyz/hp9zKeIIV7L/3+602P/TCkTz2aGLE3+7k6aez71wnTsyG9B56KDw5+f5W2zzEZ6o25XKOaLqOtFzpFajLlpXXlQwOPvTNX1Xdbys16Bluj2q5Z58q17Su1Je+BIccUrVq6NDVb1NHi8iuE636QauaBx5oXTZq1Gof99xzs/PwySdXe1OpZiJg/Pjsi7OmMSuS6psJeQPLb2ICwP77V1R+97vZkIrc2tPu5C1aj6dYQU922aPkirxXXoGZM+m1yUDGjMl6docPz6rOPz+7QcsWW8CIYz/LC2RDK0YyA4A9eLhqO99hvbILSMtUu8rppJPKhm307NcX5s1j8YOzuHmDarcEyW2zTdt1NdSjR/lFjtWuYWyvxYs/fnu6hJ49sxOo1De+sdq7WX/9bDelX6ZIklQ0E/IGVjou+5RTKiqvvLJssddGA/jww3bsdPDgNgajl4uArVe8QPpoBbf+1+BW9bswne35K1vwEilliVRV1ZLoakMYttqK/nt8igmffbO8/LbbYP78bLD5KsdO1M6rr2Y9yHfc8fHucNavX9a7dt552fJDD3VM+woxcWJ2O8zjjsvi1tZtKiRJ6mb8j9agPvggew1W8J9MYM8bT1jlNj17wi+PrH5BJgBDhqxWGyIgegSb79i6530WOzKb7bnuwcorFisce2zrssqLAEvttVfL/PPPwxe/mLV7u+3a1eZaGTgwG2O9334ds7+TTspu0/2Z6qOCuo9evbLB81/8YtEtkSSpw/QqugEqxuuvZ69bM48J/AEmA7/8v9kdK+bPL195+vTm2T4jhxEk1uG97F7WpQ47bM0a07MnqVcvIu+CT2++xY8nr03PnrDHHqvYdp11shuEH398dqXgc8/B3nu3vf6JJ2ZP8vn0p7M7izQQO5QlSeqaTMgb1A03ZK99eLelsNoVdr17lz2K8tBD4Z57YNy43qRNbif2/0LLuiefvMbtibfeYvakG/lgwgHsOKAvZ5yxGhuPGbN6TwjtqG5nSZKkDmBC3qCankg+mlXcw3nRouanM0L2AM2pU5uW/jG7P1evXtn4k48z2Hm99Rh2zkouuJQkSapTfondgJ56Knu9kBO4nP/T9oqf+1xZMl7Vuutm9/z+OMm4JElSAzMhb0BHHJG9nsBFK1/xuus6vS2SJEmNziErDWbmTHjiCfgkL5dXHH10dkHksGHZ89jXX3/VveOSJEn62EzIG8yIEdnrUOaWV4wb563kJEmSCuCQlQbx0EPQI1awF9NYjyVsw/MtlRMnmoxLkiQVxB7yBrHHnsGKtiorH0kuSZKkmjEhr1dND8g55hg+mvEkVe4wntlss1q2SpIkSRVMyOvRiy/C0KHZ/Kmntp2MA9x3Xw0aJEmSpLY4hrzOvPwysNVW7Vv5oINgm206tT2SJElaORPyepASzJvH3jsu4PEtD1jpqm+O3Ceb+fGP4dpra9A4SZIkrYxDVupBj+xz1b2rWO2ZW+YxfFw7e88lSZJUE/aQd3N/vC21WXcYU1ib9wlWECR2GGsyLkmS1NWYkHdz3xi3qGr5c2zD7ziMD1gbCEaOhIiaNk2SJEntYELezQ3m1VZlrzCYYcwuK7v11lq1SJIkSavDhLwbW7ECJnBzq/I+r81jRcnNDj/7WW83LkmS1FWZkHc3zz4LffrAww/z4ovwM05vrkq77ALXX8+gTdeif/+sbKed4Pbbi2mqJEmSVs27rHQ3O+yQve6xBz/b5DauaCofOpSYPr15tTffhNdeg8GDa95CSZIkrQZ7yLuxK/4+tmXhqqvK6nr0MBmXJEnqDkzIu5P33mu7bvTo2rVDkiRJHcaEvDu5/vq267ynoSRJUrdkQt5dvP46K344sWpVOufcGjdGkiRJHcWLOruLzTZr/vQ0lQP4OlOBxPx5MGQre8clSZK6KxPy7uD558sWP8rvMX7HHcGQrYpokCRJkjqKCXl3sO22ZYu3MJ5nn4VhwwpqjyRJkjqMCXlXd275+PCFDOTM6ePZ1mRckiSpLpiQd3U/+lHz7LbM5RU+ydIRvQtskCRJkjqSCXlXtnRp2eLzbMvw4dDLqEmSJNUNb3vYld12W/PsrYxlyhSYPr3A9kiSJKnD2dfaleV3V1lKX8ZzCyu+5fN/JEmS6o095F3ZaacB8CPOYdKkMBmXJEmqQybkXdXChc2z79KH5csLbIskSZI6jQl5V7XRRs2zj7Ibu+5aYFskSZLUaUzIu5qlS1sNFH+GTzF2bEHtkSRJUqcyIe9KXnoJNtigrOh0zi6mLZIkSaoJE/Ku5PDD4aOPyoou5EROP72g9kiSJKnTmZB3Fe+/D9OmtSpeRl8GDCigPZIkSaoJE/Ku4sILyxaX0peRzABgzJgiGiRJkqRaMCEv2Pw5y/ng/Ivg1FOby07mF6zPUp5kJAC7715Q4yRJktTpfFJnge66C/bdb51W5edzctmyDwSSJEmqX/aQF2jW2H9pVbbz5gvKlh95pFatkSRJUhG6ZEIeEetGxBUR8VZELIqIyyOiTzu3/UVEpIg4pLPbuaYWLYJfnLE+J35wXqu6p/7/wLLlESNq1ChJkiQVoksm5MCvgGH5NBTYHrhwpVsAETEa2B94vVNb9zGdOOYhpvx+cKvy7/EboGV8ytFHQ592fQyRJElSd9XlxpDnPeGHAONSSn/Py04HbomIE1JK77Wx3TrA5cCRwHW1au+auGLunmXLl+z974wfDxef8E/NZfPnw5AhNW6YJEmSaq7LJeTAdkBv4ImSshlAH7Le8pltbHcmcG9K6ZHowldBplTaB5458p4sEe97GrzzTlZmMi5JktQYapqQR8SVwLdWssok4I58fnFJedN8vzb2Owo4ENi5ne04kqwnnc0335zZs2e3Z7MOkRK8esFt7DtxbHNZ0/HvvbcHV165IV/+8mJmz/6gZm1S51q4cGFNzzEVx1g3DmPdOIx14ygy1rXuIT8WmLiS+mVkveAA/YFFJfMAb1duEBFrA1OA76WUlranESmlS4BLAEaNGpWGDRvWns06zPbbD+P1d85i0zPOgGuvpfT4o0cDDKppe9S5Zs+eTa3PMRXDWDcOY904jHXjKDLWNb2oM6W0NKW0cCXTMmAO8B7w6ZJNRwLvAnOr7HYzYDhwTUQsjIiFwCeB30bENZ38ltbY4q9/PesuP+igopsiSZKkAnW5MeQppXcj4t+AsyPi6bz4bOCqNi7ofAXYoqLsEeA84NrOa6kkSZL08XXV2x7+gKw3vGmaA5zQVBkRp0bEMwAppY9SSq+WTsBHwFsppTcKaLskSZLUbl2uhxwgH7ry7XyqVv9z4Ocr2X5I57RMkiRJ6lhdtYdckiRJaggm5JIkSVKBTMglSZKkApmQS5IkSQUyIZckSZIKZEIuSZIkFciEXJIkSSqQCbkkSZJUIBNySZIkqUAm5JIkSVKBIqVUdBsKFRELgJcKOPQgYGEBx1XtGevGYawbh7FuHMa6cXR2rLdMKW1UraLhE/KiRMT0lNKootuhzmesG4exbhzGunEY68ZRZKwdsiJJkiQVyIRckiRJKpAJeXEuKboBqhlj3TiMdeMw1o3DWDeOwmLtGHJJkiSpQPaQS5IkSQUyIZckSZIKZEJeYxHRMyLOj4gFEbEkIm6MiEFFt0srFxG/iIhnIuLtiHgtIi6NiA0r1vlmRLwQEcsi4rGI2KWiflREPJ7XvxARh1TUbxwRN+XnxYL8mP6OFiQiekTEwxGRImJwSblxriMR8fmIeDQilkbEwoi4uKTOWNeJiPhERFyfx+GtiLg3IkaU1Bvrbioi/jkiHsj/P39Ypb5TY9tReZ0nS+2dAkwAxgBN/+SvLq45aqePgEOAgcAIsthNaaqMiD2B3wJHAwOAG4E/RkS/vL4/8Ke8fABwFPD/ImL3kmNck78OJjs/vgKc1HlvSatwArCstMA415eI2Au4AbiA7Hd7MHBZXmes68vFwIbAdsAmwHTg1sgY6+7tLbL4Hl9ZUaPYdkxel1JyquFE9lTQI0qW/wFIwJCi2+a0WnEcCywuWf4dcHXJcgAvA9/Klw/Pl6NknauBKfn8Vvl58A8l9UcA84t+r404AUOBF4Cd87gMNs71NwGPAOe2UWes62gCZgJHlixvl8dnkLGujwnYC/iwoqzTY0sH5XX2kNdQ/klsC+CJprKU0gvA28BORbVLa2Qfsj/wTUZQHtcE/Fde3lQ/Iy9vMqOifnF+PpTWD2n6JK/ayL+KvIKsB2RRRbVxrhMR0RcYDbwXETPy4Sp/joimp/QZ6/pyPvC1iBgUEb2BI4EHU0oLMdb1rFNj25F5nQl5bTX9Yi6uKF9UUqcuLiK+BnwH+EFJ8fqsPK5rWg+eG7X2A+BvKaWbqtQZ5/oxgOx/4HeAw4DNgDvJvs7eAGNdbx4CegILgKXAV8liD8a6nnV2bDssrzMhr60l+Wv/ivINyD5NqYuLiAOBS4EvpZRmlFQtYeVxXdP6pjrVQERsA/wQOLaNVYxz/Wj6eU9JKc1MKS0HzgHWAj6Dsa4b+bdedwNzyWKyLjAJeCAiNsFY17POjm2H5XUm5DWUUlpENlbp001lEbE12aeomW1spi4iIg4H/hUYn1KaVlH9FOVxDbLxx0+V1I+s2GZkRX3//HworX8xpVT5yVudZ09gI+DpiFhI9tUkwMyIOAbjXDfyn/eLZGM9W1VjrOvJhmRjgX+dUno7pbQ8pXQZWQ60G8a6nnVqbDs0ryt6EH6jTcCPgTlkfxz6AVOB24tul9Mq4/Z94A1g1zbq9yT7GnQfYG1gIvB3oF9evwHZV6Un5fX75OvvXrKPu8ju+NAvPz/mAKcU/d4baSLrORtcMu1GlpyNAtYzzvU15XF6FdgB6AWcDLxO1ttlrOtoyn/2vwb65rH+NrAc2NpYd++JbChSb2A/4MN8vjfZBZydHls6KK8r/AfZaFN+4lwALCT7quMmYFDR7XJaZdwS8EH+i9o8VazzTWAe8C7wOLBLRf2uefm7+XqHVNRvnJ8PS/Lz4zygR9HvvZEnYAgld1kxzvU15f+wzwb+Rjbmcxqws7GuvwnYHrg1j8NisovwJhjr7j+RXQOSqkxDahFbOiivi3xnkiRJkgrgGHJJkiSpQCbkkiRJUoFMyCVJkqQCmZBLkiRJBTIhlyRJkgpkQi5JkiQVyIRcktQsIoZERIqIUZ14jAMiwnvuSlKuV9ENkCR1Ka8Am5I95EKSVAMm5JKkZimlj8ieXClJqhGHrEhSHYnMyRHxQkS8GxGzIuKQvK5pOMrBEfFgRLwXEbMjYr+S7cuGrETEWhExOSJei4j3I+KViDi3ZP0BEfG7iHgrP97dETG8ok3fjIiXImJZRNwKbFKl3eMj4om8TfMjYlJErN1pPyhJ6kJMyCWpvvwMOAL4HrADcA7wrxExtmSd84DJwM7AXcDNEbF5G/v7PvAV4J+BbYF/AuaU1F8JjAEmAKOBZcDtEdEHICLG5Otckh/vFuDs0gNExD8C1wC/AYYD3wYOAH6+Wu9ckrqpSMnraiSpHkREX7Kx3/ullB4oKb8IGAocA8wHTkspTcrregCzgd+nlE6LiCH5OrumlKZHxGSyJPnzqeIfRkRsC8wF/ldK6f68rD/wMvDDlNJlEXEtsFFKad+S7S4DjkgpRb58P3BXSumnJet8Gfg3YP3K40pSvXEMuSTVjx2A3mQ91KVJ7FrAiyXLjzTNpJRWRMRj+bbVXEnWiz43Iu4E/gj8KaW0AtgeWFGxv8URMatkf9uT9YqXeoSsF7/JLsDoiPiXkrIeQB/gE8DrbbRNkuqCCbkk1Y+mYYjjyXqpS30AxOruMKU0I+81/wKwN/A74KmI2HcV+2v6QNCeY/YAzgKmVqlb0P7WSlL3ZEIuSfXjr8D7wJYppXsrK/PEGmA34N68LMjGft/Q1k5TSkvIkuWpEXEl8CiwTX68HsDuQNOQlX7AjsCUkjbtVrHLyuUZwLCU0vPteI+SVHdMyCWpTqSUlkTEBcAFeaJ9P7AeWQK8ArgzX/XoiJgLzCIbV74l8Ntq+4yIE8mGjDxJ1st+MPA28GpKaVlE3Ex20eiRwCJgUl5/bb6LycDDEfEjsqR/L7KLREudDdwaES8Bvwc+BD4FjE4pnbymPw9J6i68y4ok1ZfTgTOBicAzZOO/v0Z2oWaTU4ATgafIhqJ8JaX0ahv7WwKcBDxO1pO9M7B/SmlZXn94XveH/HVd4AsppXcBUkqPko0XPxqYCXw1b1+zlNIdwFjgf+f7eDxvY+WwG0mqS95lRZIaROUdVApujiQpZw+5JEmSVCATckmSJKlADlmRJEmSCmQPuSRJklQgE3JJkiSpQCbkkiRJUoFMyCVJkqQCmZBLkiRJBTIhlyRJkgr0P73DCI8X8tc3AAAAAElFTkSuQmCC", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "r0 = rd_player0_rewards[\"vs_opt_1\"]\n", + "r1 = rd_player0_rewards[\"vs_opt_12\"]\n", + "r2 = rd_player0_rewards[\"vs_random\"]\n", + "N=100\n", + "r0_conv = np.convolve(r0, np.ones(N)/N, mode='valid')\n", + "r1_conv = np.convolve(r1, np.ones(N)/N, mode='valid')\n", + "r2_conv = np.convolve(r2, np.ones(N)/N, mode='valid')\n", + "fig = plt.figure(figsize=(12,6))\n", + "plt.plot(range(1, len(r0_conv)+1), r0_conv, color='b', label='vs optimal (alwaysfirst)')\n", + "plt.plot(range(1, len(r1_conv)+1), r1_conv, color='r', label='vs optimal (notalwaysfirst)')\n", + "plt.plot(range(1, len(r2_conv)+1), r2_conv, color='g', label='vs random (notalwaysfirst)')\n", + "plt.legend()\n", + "plt.xlabel('episode')\n", + "plt.ylabel('reward')\n", + "plt.grid(True,'major',linestyle='-',linewidth=0.5)\n", + "plt.grid(True,'minor',linestyle='--',linewidth=0.25) \n", + "plt.title(r'SARSA against random policy')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## 2. SARSA vs SARSA\n", + "\n", + "SARSA learns by playing against another SARSA agent, the performance is again evaluated by playing against optimal and random (10 times)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### 2.1 Two agents (two Q tables, player 0 is always first to play)" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [], + "source": [ + "heaps = [7,7,7]\n", + "env = NimEnv(heaps)\n", + "\n", + "\n", + "def run_experiment_sarsa_0starts(env, num_episodes):\n", + " player0_rewards = {\"vs_other\": [],\n", + " \"vs_random\": [], \n", + " \"vs_opt\": []}\n", + " player1_rewards = {\"vs_other\": [],\n", + " \"vs_random\": [], \n", + " \"vs_opt\": []}\n", + " agent0 = RLAgent() # RL agent for player 0\n", + " agent1 = RLAgent() # RL agent for player 1\n", + "\n", + " for episode in tqdm(range(1, num_episodes+1)):\n", + " heaps = env.reset() \n", + " env = NimEnv(heaps)\n", + " \n", + " winner = None\n", + " done = False\n", + "\n", + " action = [None, None]\n", + " reward = [None, None]\n", + " old_0 = (None, None) # old state/action for player0\n", + " old_1 = (None, None) # old state/action for player1\n", + " old_reward = None\n", + " i = 0\n", + " while not done:\n", + " action[0] = agent0.decide(heaps)\n", + " next_heaps, winner, reward[0], done, _ = env.step(action[0])\n", + " if i > 0:\n", + " agent0.learn(old_0[0], old_0[1], old_reward[0], heaps, action[0])\n", + " if done:\n", + " agent0.learn(heaps, action[0], reward[0][0])\n", + " if i > 0:\n", + " agent1.learn(old_1[0], old_1[1], reward[0][1])\n", + " break\n", + " \n", + " action[1] = agent1.decide(next_heaps)\n", + " nextnext_heaps, winner, reward[1], done, _ = env.step(action[1])\n", + " if i > 0:\n", + " agent1.learn(old_1[0], old_1[1], old_reward[1], next_heaps, action[1])\n", + " if done:\n", + " agent0.learn(heaps, action[0], reward[1][0])\n", + " agent1.learn(next_heaps, action[1], reward[1][1])\n", + " break\n", + " \n", + "\n", + " old_0 = heaps[:], action[0][:]\n", + " old_1 = next_heaps[:], action[1][:]\n", + " old_reward = reward[1][:]\n", + " heaps = nextnext_heaps[:]\n", + " i += 1\n", + "\n", + " r0 = evaluate_fixed_random(agent0, 10)\n", + " r1 = evaluate_fixed_random(agent1, 10)\n", + " player0_rewards[\"vs_random\"].append(r0) \n", + " player1_rewards[\"vs_random\"].append(r1)\n", + "\n", + " r0 = evaluate_fixed_opt(agent0, 10)\n", + " r1 = evaluate_fixed_opt(agent1, 10)\n", + " player0_rewards[\"vs_opt\"].append(r0) \n", + " player1_rewards[\"vs_opt\"].append(r1) \n", + " \n", + " return player0_rewards, player1_rewards, [agent0, agent1]\n" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "100%|██████████| 10000/10000 [02:59<00:00, 55.81it/s]\n" + ] + } + ], + "source": [ + "num_episodes = 10_000\n", + "player0_rewards, player1_rewards, agents = run_experiment_sarsa_0starts(env, num_episodes)" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "N=500\n", + "\n", + "plt.figure(figsize=(24, 6))\n", + "\n", + "#vs random\n", + "r0 = player0_rewards[\"vs_random\"]\n", + "r1 = player1_rewards[\"vs_random\"]\n", + "r0_conv = np.convolve(r0, np.ones(N)/N, mode='valid')\n", + "r1_conv = np.convolve(r1, np.ones(N)/N, mode='valid')\n", + "plt.subplot(121)\n", + "plt.plot(range(1, len(r0_conv)+1), r0_conv, color='b', label='player0')\n", + "plt.plot(range(1, len(r1_conv)+1), r1_conv, color='r', label='player1')\n", + "plt.legend()\n", + "plt.xlabel('episode')\n", + "plt.ylabel('reward')\n", + "plt.grid(True,'major',linestyle='-',linewidth=0.5)\n", + "plt.grid(True,'minor',linestyle='--',linewidth=0.25) \n", + "plt.title(r'SARSA against random')\n", + "\n", + "#vs optimal\n", + "r0 = player0_rewards[\"vs_opt\"]\n", + "r1 = player1_rewards[\"vs_opt\"]\n", + "r0_conv = np.convolve(r0, np.ones(N)/N, mode='valid')\n", + "r1_conv = np.convolve(r1, np.ones(N)/N, mode='valid')\n", + "plt.subplot(122)\n", + "plt.plot(range(1, len(r0_conv)+1), r0_conv, color='b', label='player0')\n", + "plt.plot(range(1, len(r1_conv)+1), r1_conv, color='r', label='player1')\n", + "plt.legend()\n", + "plt.xlabel('episode')\n", + "plt.ylabel('reward')\n", + "plt.grid(True,'major',linestyle='-',linewidth=0.5)\n", + "plt.grid(True,'minor',linestyle='--',linewidth=0.25) \n", + "plt.title(r'SARSA against $\\epsilon$-greedy optimal policy ($\\epsilon=0.2$)')\n", + "\n", + "plt.suptitle('player0 always plays first during learning')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### 2.2 Two agents (two Q tables, first to play random)" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": {}, + "outputs": [], + "source": [ + "heaps = [7,7,7]\n", + "env = NimEnv(heaps)\n", + "\n", + "\n", + "def run_experiment_rd_start(env, num_episodes):\n", + "\n", + " player0_rewards = {\"vs_other\": [],\n", + " \"vs_random\": [], \n", + " \"vs_opt\": []}\n", + " player1_rewards = {\"vs_other\": [],\n", + " \"vs_random\": [], \n", + " \"vs_opt\": []}\n", + " agent = [RLAgent(), RLAgent()]\n", + "\n", + " for episode in tqdm(range(1, num_episodes+1)):\n", + " heaps = env.reset() \n", + "\n", + " turn = 0 if random.random() < 0.5 else 1\n", + " env = NimEnv(heaps, firstplayer=turn)\n", + " \n", + " winner = None\n", + " done = False\n", + "\n", + " action = [None, None]\n", + " reward = [None, None]\n", + " old_0 = (None, None) # old state/action for player0\n", + " old_1 = (None, None) # old state/action for player1\n", + " old = [old_0, old_1]\n", + " old_reward = None\n", + " i = 0\n", + " while not done:\n", + " action[turn] = agent[turn].decide(heaps)\n", + " next_heaps, winner, reward[turn], done, next_turn = env.step(action[turn])\n", + "\n", + " if i > 0:\n", + " agent[turn].learn(old[turn][0], old[turn][1], old_reward[turn],\n", + " heaps, action[turn])\n", + " if done:\n", + " agent[turn].learn(heaps, action[turn], reward[turn][turn])\n", + " if i > 0:\n", + " agent[next_turn].learn(old[next_turn][0], old[next_turn][1], reward[turn][next_turn])\n", + " break\n", + " \n", + " turn = next_turn\n", + " action[turn] = agent[turn].decide(next_heaps)\n", + " nextnext_heaps, winner, reward[turn], done, next_turn = env.step(action[turn])\n", + " if i > 0:\n", + " agent[turn].learn(old[turn][0], old[turn][1], old_reward[turn], next_heaps, action[turn])\n", + " if done:\n", + " agent[next_turn].learn(heaps, action[next_turn], reward[turn][next_turn])\n", + " agent[turn].learn(next_heaps, action[turn], reward[turn][turn])\n", + " break\n", + " \n", + " turn, next_turn = next_turn, turn\n", + "\n", + " old[turn] = heaps[:], action[turn][:]\n", + " old[next_turn] = next_heaps[:], action[next_turn][:]\n", + " old_reward = reward[next_turn][:]\n", + " heaps = nextnext_heaps[:]\n", + " i += 1\n", + "\n", + " r0 = evaluate_fixed_random(agent[0], 10)\n", + " r1 = evaluate_fixed_random(agent[1], 10)\n", + " player0_rewards[\"vs_random\"].append(r0) \n", + " player1_rewards[\"vs_random\"].append(r1)\n", + "\n", + " r0 = evaluate_fixed_opt(agent[0], 10)\n", + " r1 = evaluate_fixed_opt(agent[1], 10)\n", + " player0_rewards[\"vs_opt\"].append(r0) \n", + " player1_rewards[\"vs_opt\"].append(r1) \n", + "\n", + " return player0_rewards, player1_rewards, [agent[0], agent[1]]\n" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "100%|██████████| 10000/10000 [02:37<00:00, 63.51it/s]\n" + ] + } + ], + "source": [ + "num_episodes = 10_000\n", + "player0_rewards, player1_rewards, agents = run_experiment_rd_start(env, num_episodes)" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "N=500\n", + "\n", + "plt.figure(figsize=(24, 6))\n", + "\n", + "#vs random\n", + "r0 = player0_rewards[\"vs_random\"]\n", + "r1 = player1_rewards[\"vs_random\"]\n", + "r0_conv = np.convolve(r0, np.ones(N)/N, mode='valid')\n", + "r1_conv = np.convolve(r1, np.ones(N)/N, mode='valid')\n", + "plt.subplot(121)\n", + "plt.plot(range(1, len(r0_conv)+1), r0_conv, color='b', label='player0')\n", + "plt.plot(range(1, len(r1_conv)+1), r1_conv, color='r', label='player1')\n", + "plt.legend()\n", + "plt.xlabel('episode')\n", + "plt.ylabel('reward')\n", + "plt.grid(True,'major',linestyle='-',linewidth=0.5)\n", + "plt.grid(True,'minor',linestyle='--',linewidth=0.25) \n", + "plt.title(r'SARSA against random')\n", + "\n", + "#vs optimal\n", + "r0 = player0_rewards[\"vs_opt\"]\n", + "r1 = player1_rewards[\"vs_opt\"]\n", + "r0_conv = np.convolve(r0, np.ones(N)/N, mode='valid')\n", + "r1_conv = np.convolve(r1, np.ones(N)/N, mode='valid')\n", + "plt.subplot(122)\n", + "plt.plot(range(1, len(r0_conv)+1), r0_conv, color='b', label='player0')\n", + "plt.plot(range(1, len(r1_conv)+1), r1_conv, color='r', label='player1')\n", + "plt.legend()\n", + "plt.xlabel('episode')\n", + "plt.ylabel('reward')\n", + "plt.grid(True,'major',linestyle='-',linewidth=0.5)\n", + "plt.grid(True,'minor',linestyle='--',linewidth=0.25) \n", + "plt.title(r'SARSA against $\\epsilon$-greedy optimal policy ($\\epsilon=0.2$)')\n", + "\n", + "plt.suptitle('first to play random during learning')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### 2.3 One agent playing against itself (sharing Q table)" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": {}, + "outputs": [], + "source": [ + "heaps = [7,7,7]\n", + "env = NimEnv(heaps)\n", + "\n", + "\n", + "def run_experiment_shareq(env, num_episodes):\n", + " player0_rewards = {\"vs_other\": [],\n", + " \"vs_random\": [], \n", + " \"vs_opt\": []}\n", + " agent0 = RLAgent()\n", + "\n", + " for episode in tqdm(range(1, num_episodes+1)):\n", + " heaps = env.reset()\n", + " next_heaps = [0,0,0]\n", + " nextnext_heaps = [0,0,0]\n", + " env = NimEnv(heaps)\n", + " \n", + " winner = None\n", + " done = False\n", + "\n", + " action = [None, None]\n", + " reward = [None, None]\n", + " old_0 = (None, None) # old state/action for player0\n", + " old_1 = (None, None) # old state/action for player1\n", + " old_reward = None\n", + " i = 0\n", + " while not done:\n", + " action[0] = agent0.decide(heaps)\n", + " next_heaps, winner, reward[0], done, _ = env.step(action[0])\n", + " if i > 0:\n", + " if old_0[0][old_0[1][0]-1] < old_0[1][1]:\n", + " print(f\"{old_0[0]=}, {old_0[1]=}\")\n", + " agent0.learn(old_0[0], old_0[1], old_reward[0], heaps, action[0])\n", + " if done:\n", + " agent0.learn(heaps, action[0], reward[0][0])\n", + " if i > 0:\n", + " agent0.learn(old_1[0], old_1[1], reward[0][1])\n", + " break\n", + "\n", + " action[1] = agent0.decide(next_heaps)\n", + " nextnext_heaps, winner, reward[1], done, _ = env.step(action[1])\n", + " if i > 0:\n", + " agent0.learn(old_1[0], old_1[1], old_reward[1], next_heaps, action[1])\n", + " if done:\n", + " agent0.learn(heaps, action[0], reward[1][0])\n", + " agent0.learn(next_heaps, action[1], reward[1][1])\n", + " break\n", + " \n", + " old_0 = heaps[:], action[0][:]\n", + " old_1 = next_heaps[:], action[1][:]\n", + " old_reward = reward[1][:]\n", + " heaps = nextnext_heaps[:]\n", + " i += 1\n", + "\n", + " r0 = evaluate_fixed_random(agent0, 10)\n", + " player0_rewards[\"vs_random\"].append(r0) \n", + "\n", + " r0 = evaluate_fixed_opt(agent0, 10)\n", + " player0_rewards[\"vs_opt\"].append(r0) \n", + "\n", + " \n", + " return player0_rewards, agent0\n" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "100%|██████████| 10000/10000 [01:31<00:00, 108.84it/s]\n" + ] + } + ], + "source": [ + "num_episodes = 10_000\n", + "player0_rewards, agent = run_experiment_shareq(env, num_episodes)" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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7k9xNW0jiE8A/gA29/I5exSbgF0k+Q0ts30tbOGLUemBbkieAO4EXgXcAa6vqpmM9H5IkSdL/g3m2JM3N1JF3kSR1nwM+D9wA/I42j9dHaIs3TLsZuB54mPYY2CVVtecw9e0DbgR20K78nwF8qKr29/KP97Lv939fDlxQVQcAqupB2rxf1wCPAJf29r2kqn4MXAi8r9exo7dx/JE3SZIkabGYZ0vSMYoLOErS3I2v0LvIzZEkSZKWBPNsSfrfvHNXkiRJkiRJkgbIwV1JkiRJkiRJGiCnZZAkSZIkSZKkAfLOXUmSJEmSJEkaIAd3JUmSJEmSJGmAHNyVJEmSJEmSpAFycFeSJEmSJEmSBsjBXUmSJEmSJEkaIAd3JUmSJEmSJGmA/g3hsahj1FnN9gAAAABJRU5ErkJggg==", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "N=100\n", + "\n", + "plt.figure(figsize=(24, 6))\n", + "\n", + "#vs random\n", + "r0 = player0_rewards[\"vs_random\"]\n", + "\n", + "r0_conv = np.convolve(r0, np.ones(N)/N, mode='valid')\n", + "\n", + "plt.subplot(121)\n", + "plt.plot(range(1, len(r0_conv)+1), r0_conv, color='b', label='player0')\n", + "plt.legend()\n", + "plt.xlabel('episode')\n", + "plt.ylabel('reward')\n", + "plt.grid(True,'major',linestyle='-',linewidth=0.5)\n", + "plt.grid(True,'minor',linestyle='--',linewidth=0.25) \n", + "plt.title(r'SARSA against random')\n", + "\n", + "#vs optimal\n", + "r0 = player0_rewards[\"vs_opt\"]\n", + "\n", + "r0_conv = np.convolve(r0, np.ones(N)/N, mode='valid')\n", + "\n", + "plt.subplot(122)\n", + "plt.plot(range(1, len(r0_conv)+1), r0_conv, color='r', label='player0')\n", + "plt.legend()\n", + "plt.xlabel('episode')\n", + "plt.ylabel('reward')\n", + "plt.grid(True,'major',linestyle='-',linewidth=0.5)\n", + "plt.grid(True,'minor',linestyle='--',linewidth=0.25) \n", + "plt.title(r'SARSA against optimal(0.2)')\n", + "\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## 3. SARSA with eligibility traces: SARSA($\\lambda$)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "heaps = [7,7,7]\n", + "env = NimEnv(heaps)\n", + "\n", + "\n", + "def run_experiment_against_fixed(env, num_episodes, which=\"optimal\", alpha=0.02, gamma=0.9, lambda_=0.9, opt_noise=None):\n", + " player0_rewards = {\"vs_opt_1\": [],\n", + " \"vs_random\": [], \n", + " \"vs_opt_12\": []}\n", + " agent0 = SARSA_LAMBDA(ini_q=0.0, epsilon=0.1, alpha=alpha, gamma=gamma) # RL agent for player 0\n", + " # agent1 = RLAgent() # RL agent for player 1\n", + "\n", + " # Defining the fixed policy to play against\n", + " if which == \"optimal\":\n", + " if opt_noise is not None:\n", + " fixed_policy = lambda heaps: optimal_policy(heaps, randomness=opt_noise)\n", + " else:\n", + " fixed_policy = lambda heaps: optimal_policy(heaps, randomness=0.2)\n", + " elif which == \"random\":\n", + " fixed_policy = lambda heaps: random_policy(heaps)\n", + "\n", + " for episode in tqdm(range(1, num_episodes+1)):\n", + " heaps = env.reset() \n", + " env = NimEnv(heaps)\n", + " \n", + " winner = None\n", + " done = False\n", + "\n", + " action = None\n", + " reward = None\n", + " old_0 = (None, None) # old state/action for player0\n", + " old_reward = None\n", + " i = 0\n", + " while not done:\n", + " \n", + " action = agent0.decide(heaps)\n", + " next_heaps, winner, reward, done, _ = env.step(action)\n", + " if i > 0:\n", + " agent0.learn(old_0[0], old_0[1], old_reward, heaps, action)\n", + " if done:\n", + " agent0.learn(heaps, action, reward[0])\n", + " break\n", + " \n", + " adv_action = fixed_policy(next_heaps)\n", + " nextnext_heaps, winner, adv_reward, done, _ = env.step(adv_action)\n", + " if done:\n", + " agent0.learn(heaps, action, adv_reward[0])\n", + " break\n", + " \n", + " old_0 = heaps[:], action[:]\n", + " old_reward = adv_reward[0]\n", + " heaps = nextnext_heaps[:]\n", + " i += 1\n", + "\n", + " r0 = evaluate_fixed_opt(agent0, 10, randomness=0.2, alwaysfirst=True)\n", + " player0_rewards[\"vs_opt_1\"].append(r0)\n", + "\n", + " r1 = evaluate_fixed_opt(agent0, 10, randomness=0.0, alwaysfirst=False)\n", + " player0_rewards[\"vs_opt_12\"].append(r1) \n", + "\n", + " r2 = evaluate_fixed_random(agent0, 10)\n", + " player0_rewards[\"vs_random\"].append(r2)\n", + " \n", + " return player0_rewards, agent0" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "100%|██████████| 10000/10000 [02:51<00:00, 58.46it/s]\n", + "100%|██████████| 10000/10000 [03:00<00:00, 55.28it/s]\n", + "100%|██████████| 10000/10000 [03:28<00:00, 47.96it/s]\n", + "100%|██████████| 10000/10000 [03:26<00:00, 48.36it/s]\n" + ] + } + ], + "source": [ + "num_episodes = 10_000\n", + "lambdas = [0.8, 0.9, 0.95, 0.99]\n", + "rewards = [None, None, None, None]\n", + "for i, l in enumerate(lambdas):\n", + " rewards[i], _ = run_experiment_against_fixed(env, num_episodes, which='optimal', alpha=0.2, gamma=0.9, lambda_=l)" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "N = 100\n", + "fig = plt.figure(figsize=(24,6))\n", + "plt.subplot(121)\n", + "for i, l in enumerate(lambdas):\n", + " rnd = rewards[i][\"vs_random\"]\n", + " rnd_conv = np.convolve(rnd, np.ones(N)/N, mode='valid')\n", + " plt.plot(range(1, len(rnd_conv)+1), rnd_conv, label=f'$\\lambda$ = {l}, vs random')\n", + " plt.xlabel('episode')\n", + " plt.ylabel('reward')\n", + " plt.legend()\n", + " plt.grid(True,'major',linestyle='-',linewidth=0.5) \n", + "\n", + "plt.subplot(122)\n", + "for i, l in enumerate(lambdas):\n", + " opt = rewards[i][\"vs_opt_12\"]\n", + " opt_conv = np.convolve(opt, np.ones(N)/N, mode='valid')\n", + " plt.plot(range(1, len(opt_conv)+1), opt_conv, label=f'$\\lambda$ = {l}, vs optimal') \n", + " plt.xlabel('episode')\n", + " plt.ylabel('reward')\n", + " plt.legend()\n", + " plt.grid(True,'major',linestyle='-',linewidth=0.5) \n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 41, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "100%|██████████| 50000/50000 [13:24<00:00, 62.14it/s]\n" + ] + } + ], + "source": [ + "num_episodes = 50_000\n", + "player0_rewards, agent = run_experiment_against_fixed(env, num_episodes, which='optimal', alpha=0.05, gamma=0.90)" + ] + }, + { + "cell_type": "code", + "execution_count": 42, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "r0 = player0_rewards[\"vs_opt_1\"]\n", + "r1 = player0_rewards[\"vs_opt_12\"]\n", + "r2 = player0_rewards[\"vs_random\"]\n", + "N=100\n", + "r0_conv = np.convolve(r0, np.ones(N)/N, mode='valid')\n", + "r1_conv = np.convolve(r1, np.ones(N)/N, mode='valid')\n", + "r2_conv = np.convolve(r2, np.ones(N)/N, mode='valid')\n", + "fig = plt.figure(figsize=(12,6))\n", + "plt.plot(range(1, len(r0_conv)+1), r0_conv, color='b', label='vs optimal(0.2) (alwaysfirst)')\n", + "plt.plot(range(1, len(r1_conv)+1), r1_conv, color='r', label='vs optimal(0.2) (notalwaysfirst)')\n", + "plt.plot(range(1, len(r2_conv)+1), r2_conv, color='g', label='vs random(0.2) (notalwaysfirst)')\n", + "plt.legend()\n", + "plt.xlabel('episode')\n", + "plt.ylabel('reward')\n", + "plt.grid(True,'major',linestyle='-',linewidth=0.5)\n", + "plt.grid(True,'minor',linestyle='--',linewidth=0.25) \n", + "plt.title(r'SARSA($\\lambda$) trained against $\\epsilon$-greedy optimal policy ($\\epsilon=0.2$)')\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "100%|██████████| 50000/50000 [17:09<00:00, 48.55it/s]\n" + ] + } + ], + "source": [ + "num_episodes = 50_000\n", + "player0_rewards, agent = run_experiment_against_fixed(env, num_episodes, which='optimal', alpha=0.1, gamma=0.90)" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "r0 = player0_rewards[\"vs_opt_1\"]\n", + "r1 = player0_rewards[\"vs_opt_12\"]\n", + "r2 = player0_rewards[\"vs_random\"]\n", + "N=100\n", + "r0_conv = np.convolve(r0, np.ones(N)/N, mode='valid')\n", + "r1_conv = np.convolve(r1, np.ones(N)/N, mode='valid')\n", + "r2_conv = np.convolve(r2, np.ones(N)/N, mode='valid')\n", + "fig = plt.figure(figsize=(12,6))\n", + "plt.plot(range(1, len(r0_conv)+1), r0_conv, color='b', label='vs optimal(0.2) (alwaysfirst)')\n", + "plt.plot(range(1, len(r1_conv)+1), r1_conv, color='r', label='vs optimal(0.2) (notalwaysfirst)')\n", + "plt.plot(range(1, len(r2_conv)+1), r2_conv, color='g', label='vs random(0.2) (notalwaysfirst)')\n", + "plt.legend()\n", + "plt.xlabel('episode')\n", + "plt.ylabel('reward')\n", + "plt.grid(True,'major',linestyle='-',linewidth=0.5)\n", + "plt.grid(True,'minor',linestyle='--',linewidth=0.25) \n", + "plt.title(r'SARSA($\\lambda$) trained against $\\epsilon$-greedy optimal policy ($\\epsilon=0.2$)')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Monte Carlo" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [], + "source": [ + "heaps = [7,7,7]\n", + "env = NimEnv(heaps)\n", + "\n", + "\n", + "def run_mc_experiment_against_fixed(env, num_episodes, which=\"optimal\", alpha=0.02, gamma=0.9, opt_noise=None):\n", + " player0_rewards = {\"vs_opt_1\": [],\n", + " \"vs_random\": [], \n", + " \"vs_opt_12\": []}\n", + " agent0 = MonteCarlo() # RL agent for player 0\n", + " # agent1 = RLAgent() # RL agent for player 1\n", + "\n", + " # Defining the fixed policy to play against\n", + " if which == \"optimal\":\n", + " if opt_noise is not None:\n", + " fixed_policy = lambda heaps: optimal_policy(heaps, randomness=opt_noise)\n", + " else:\n", + " fixed_policy = lambda heaps: optimal_policy(heaps, randomness=0.2)\n", + " elif which == \"random\":\n", + " fixed_policy = lambda heaps: random_policy(heaps)\n", + "\n", + " for episode in tqdm(range(1, num_episodes+1)):\n", + " heaps = env.reset() \n", + " env = NimEnv(heaps)\n", + " \n", + " winner = None\n", + " done = False\n", + "\n", + " \n", + " action = None\n", + " reward = None\n", + "\n", + " while not done:\n", + " action = agent0.decide(heaps)\n", + " next_heaps, winner, reward, done, _ = env.step(action)\n", + " agent0.append_state_actions(heaps, action)\n", + " if done:\n", + " agent0.learn(reward[0])\n", + " break\n", + " \n", + " adv_action = fixed_policy(next_heaps)\n", + " nextnext_heaps, winner, adv_reward, done, _ = env.step(adv_action)\n", + " if done:\n", + " agent0.learn(adv_reward[0])\n", + " break\n", + "\n", + " heaps = nextnext_heaps[:]\n", + "\n", + " r0 = evaluate_fixed_opt(agent0, 10, randomness=0.2, alwaysfirst=True)\n", + " player0_rewards[\"vs_opt_1\"].append(r0)\n", + "\n", + " r1 = evaluate_fixed_opt(agent0, 10, randomness=0.2, alwaysfirst=False)\n", + " player0_rewards[\"vs_opt_12\"].append(r1) \n", + "\n", + " r2 = evaluate_fixed_random(agent0, 10)\n", + " player0_rewards[\"vs_random\"].append(r2)\n", + " \n", + " return player0_rewards, agent0" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "100%|██████████| 10000/10000 [01:39<00:00, 100.21it/s]\n" + ] + } + ], + "source": [ + "num_episodes = 10_000\n", + "player0_rewards, agent = run_mc_experiment_against_fixed(env, num_episodes, which='optimal', alpha=0.5, gamma=0.90)" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "r0 = player0_rewards[\"vs_opt_1\"]\n", + "r1 = player0_rewards[\"vs_opt_12\"]\n", + "r2 = player0_rewards[\"vs_random\"]\n", + "N=100\n", + "r0_conv = np.convolve(r0, np.ones(N)/N, mode='valid')\n", + "r1_conv = np.convolve(r1, np.ones(N)/N, mode='valid')\n", + "r2_conv = np.convolve(r2, np.ones(N)/N, mode='valid')\n", + "fig = plt.figure(figsize=(12,6))\n", + "plt.plot(range(1, len(r0_conv)+1), r0_conv, color='b', label='vs optimal(0.2) (alwaysfirst)')\n", + "plt.plot(range(1, len(r1_conv)+1), r1_conv, color='r', label='vs optimal(0.2) (notalwaysfirst)')\n", + "plt.plot(range(1, len(r2_conv)+1), r2_conv, color='g', label='vs random(0.2) (notalwaysfirst)')\n", + "plt.legend()\n", + "plt.xlabel('episode')\n", + "plt.ylabel('reward')\n", + "plt.grid(True,'major',linestyle='-',linewidth=0.5)\n", + "plt.grid(True,'minor',linestyle='--',linewidth=0.25) \n", + "plt.title(r'SARSA($\\lambda$) trained against $\\epsilon$-greedy optimal policy ($\\epsilon=0.2$)')\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "interpreter": { + "hash": "4369559244255f10d34bca352df9b3f8794934e60b17f3451fa3b0f2f96527a8" + }, + "kernelspec": { + "display_name": "Python 3.8.8 64-bit ('base': conda)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.8.8" + }, + "orig_nbformat": 4 + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/nim-game.ipynb b/nim-game.ipynb deleted file mode 100644 index d2f362c..0000000 --- a/nim-game.ipynb +++ /dev/null @@ -1,1294 +0,0 @@ -{ - "cells": [ - { - "cell_type": "code", - "execution_count": 2, - "metadata": {}, - "outputs": [], - "source": [ - "from nim_env import NimEnv\n", - "from utils import compute_nim_sum, optimal_policy, random_policy\n", - "import random\n", - "import matplotlib.pyplot as plt\n", - "import numpy as np\n", - "# from agent import RLAgent\n", - "from sarsa import RLAgent\n", - "from tqdm import tqdm\n", - "import pandas as pd\n", - "pd.options.display.float_format = '{:,.3f}'.format\n", - "\n", - "# plt figure setup\n", - "from matplotlib import rc\n", - "\n", - "plt.rc('axes', labelsize=14) # fontsize of the x and y labels\n", - "plt.rc('axes', titlesize=14)\n", - "plt.rc('xtick', labelsize=13) # fontsize of the tick labels\n", - "plt.rc('ytick', labelsize=13)\n", - "plt.rc('legend', fontsize=14) # legend fontsize\n", - "plt.rc('figure', titlesize=14) # fontsize of the figure title\n", - "plt.rc('lines', markersize=7)\n", - "plt.rc('lines', linewidth=2)\n", - "\n" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "

\n", - " \"ny\"\n", - "

\n", - "
" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### SARSA agent against fixed policy (teacher)" - ] - }, - { - "cell_type": "code", - "execution_count": 21, - "metadata": {}, - "outputs": [], - "source": [ - "import random\n", - "\n", - "def evaluate_fixed(agent, N):\n", - " player0_ep_rewards = [0]*N\n", - " player1_ep_rewards = [0]*N\n", - " for i in range(N):\n", - " done = False\n", - " heaps = random.sample(range(1, 8), 3)\n", - " env = NimEnv(heaps)\n", - " turn = 0\n", - " while not done:\n", - " action = agent.decide(heaps)\n", - " next_heaps, winner, reward, done, turn = env.step(action)\n", - " if done:\n", - " break\n", - " adv_action = optimal_policy(next_heaps, randomness=0.2)\n", - " nextnext_heaps, winner, adv_reward, done, _ = env.step(adv_action)\n", - " heaps = nextnext_heaps\n", - "\n", - "\n", - " if winner == 0:\n", - " player0_ep_rewards.append(1) \n", - " player1_ep_rewards.append(-1) \n", - " else: # if winner == 1 \n", - " player0_ep_rewards.append(-1)\n", - " player1_ep_rewards.append(1) \n", - "\n", - " return np.mean(player0_ep_rewards), np.mean(player1_ep_rewards)\n" - ] - }, - { - "cell_type": "code", - "execution_count": 24, - "metadata": {}, - "outputs": [], - "source": [ - "heaps = [7,7,7]\n", - "env = NimEnv(heaps)\n", - "\n", - "\n", - "def run_experiment(env, num_episodes):\n", - " player0_rewards = []\n", - " player1_rewards = []\n", - " agent0 = RLAgent() # RL agent for player 0\n", - " # agent1 = RLAgent() # RL agent for player 1\n", - "\n", - " for episode in tqdm(range(1, num_episodes+1)):\n", - " heaps = env.reset() \n", - " env = NimEnv(heaps)\n", - " \n", - " winner = None\n", - " done = False\n", - "\n", - " action = None\n", - " reward = None\n", - " old_0 = (None, None) # old state/action for player0\n", - " old_reward = None\n", - " i = 0\n", - " while not done:\n", - " action = agent0.decide(heaps)\n", - " next_heaps, winner, reward, done, _ = env.step(action)\n", - " if i > 0:\n", - " agent0.learn(old_0[0], old_0[1], old_reward, heaps, action)\n", - " if done:\n", - " agent0.learn(heaps, action, reward[0])\n", - " break\n", - " \n", - " adv_action = optimal_policy(next_heaps, randomness=0.2)\n", - " nextnext_heaps, winner, adv_reward, done, _ = env.step(adv_action)\n", - " if done:\n", - " agent0.learn(heaps, action, adv_reward[0])\n", - " break\n", - " \n", - " old_0 = heaps, action\n", - " old_reward = adv_reward[0]\n", - " heaps = nextnext_heaps\n", - " i += 1\n", - "\n", - " r0, r1 = evaluate_fixed(agent0, 10)\n", - " player0_rewards.append(r0) \n", - " player1_rewards.append(r1) \n", - " \n", - " return player0_rewards, player1_rewards, agent0" - ] - }, - { - "cell_type": "code", - "execution_count": 28, - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "100%|██████████| 50000/50000 [03:20<00:00, 249.48it/s]\n" - ] - } - ], - "source": [ - "num_episodes = 50000\n", - "r0, r1, agent = run_experiment(env, num_episodes)" - ] - }, - { - "cell_type": "code", - "execution_count": 34, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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(0, 0, 5)-0.0900.0000.000-0.1070.0000.0000.000-0.143-0.0440.000...0.000-0.0360.000-0.369-0.482-0.589-0.2001.0000.0000.000
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(0, 1, 0)-0.734-0.827-0.828-0.853-0.861-0.887-0.8881.000-0.712-0.883...-0.847-0.8820.000-0.766-0.857-0.873-0.864-0.856-0.859-0.868
(0, 1, 1)0.8000.8010.7980.8030.7880.7850.637-0.9920.7550.767...0.7630.7800.000-0.9940.7980.7450.7970.6980.7690.000
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(2, 5) (2, 6) (2, 7) (3, 1) (3, 2) \\\n", - "(0, 0, 0) 0.445 0.824 ... 0.693 0.724 0.650 0.859 0.585 \n", - "(0, 0, 1) -0.846 -0.787 ... -0.819 -0.820 -0.877 1.000 -0.875 \n", - "(0, 0, 2) -0.462 -0.510 ... -0.605 -0.520 -0.438 -0.675 1.000 \n", - "(0, 0, 3) -0.226 -0.166 ... -0.276 -0.161 -0.239 -0.879 -0.915 \n", - "(0, 0, 4) -0.188 -0.036 ... -0.184 -0.176 -0.129 -0.620 -0.824 \n", - "(0, 0, 5) -0.044 0.000 ... 0.000 -0.036 0.000 -0.369 -0.482 \n", - "(0, 0, 6) 0.000 -0.059 ... 0.000 0.000 0.000 -0.226 -0.200 \n", - "(0, 0, 7) 0.006 -0.036 ... 0.000 0.000 0.000 0.000 0.000 \n", - "(0, 1, 0) -0.712 -0.883 ... -0.847 -0.882 0.000 -0.766 -0.857 \n", - "(0, 1, 1) 0.755 0.767 ... 0.763 0.780 0.000 -0.994 0.798 \n", - "\n", - " (3, 3) (3, 4) (3, 5) (3, 6) (3, 7) \n", - "(0, 0, 0) 0.488 0.537 0.432 0.766 0.793 \n", - "(0, 0, 1) -0.824 -0.851 -0.891 -0.886 0.000 \n", - "(0, 0, 2) -0.440 -0.485 -0.475 0.000 0.000 \n", - "(0, 0, 3) 1.000 -0.092 0.000 0.000 0.000 \n", - "(0, 0, 4) -0.768 1.000 0.000 0.000 0.000 \n", - "(0, 0, 5) -0.589 -0.200 1.000 0.000 0.000 \n", - "(0, 0, 6) -0.360 -0.200 0.000 0.999 0.000 \n", - "(0, 0, 7) -0.360 -0.200 -0.200 -0.360 0.965 \n", - "(0, 1, 0) -0.873 -0.864 -0.856 -0.859 -0.868 \n", - "(0, 1, 1) 0.745 0.797 0.698 0.769 0.000 \n", - "\n", - "[10 rows x 21 columns]" - ] - }, - "execution_count": 45, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "print('Q-table')\n", - "agent.q.head(10)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### SARSA agent against another SARSA agent" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": {}, - "outputs": [], - "source": [ - "import random\n", - "\n", - "def evaluate(agent, N):\n", - " player0_ep_rewards = [0]*N\n", - " player1_ep_rewards = [0]*N\n", - " for i in range(N):\n", - " done = False\n", - " heaps = random.sample(range(1, 8), 3)\n", - " env = NimEnv(heaps)\n", - " turn = 0\n", - " while not done:\n", - " action = agent[turn].decide(heaps)\n", - " next_heaps, winner, reward, done, turn = env.step(action)\n", - " if winner == 0:\n", - " player0_ep_rewards.append(1) \n", - " player1_ep_rewards.append(-1) \n", - " else: # if winner == 1 \n", - " player0_ep_rewards.append(-1)\n", - " player1_ep_rewards.append(1) \n", - "\n", - " return np.mean(player0_ep_rewards), np.mean(player1_ep_rewards)\n", - "\n", - "\n", - " " - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": {}, - "outputs": [], - "source": [ - "heaps = [7,7,7]\n", - "env = NimEnv(heaps)\n", - "\n", - "\n", - "def run_experiment(env, num_episodes):\n", - " player0_rewards = []\n", - " player1_rewards = []\n", - " agent0 = RLAgent() # RL agent for player 0\n", - " agent1 = RLAgent() # RL agent for player 1\n", - "\n", - " for episode in tqdm(range(1, num_episodes+1)):\n", - " heaps = env.reset() \n", - " env = NimEnv(heaps)\n", - " \n", - " winner = None\n", - " done = False\n", - "\n", - " action = [None, None]\n", - " reward = [None, None]\n", - " old_0 = (None, None) # old state/action for player0\n", - " old_1 = (None, None) # old state/action for player1\n", - " old_reward = None\n", - " i = 0\n", - " while not done:\n", - " action[0] = agent0.decide(heaps)\n", - " next_heaps, winner, reward[0], done, _ = env.step(action[0])\n", - " if i > 0:\n", - " agent0.learn(old_0[0], old_0[1], old_reward[0], heaps, action[0])\n", - " if done:\n", - " agent0.learn(heaps, action[0], reward[0][0])\n", - " if i > 0:\n", - " agent1.learn(old_1[0], old_1[1], reward[0][1])\n", - " break\n", - " \n", - " action[1] = agent1.decide(next_heaps)\n", - " nextnext_heaps, winner, reward[1], done, _ = env.step(action[1])\n", - " if i > 0:\n", - " agent1.learn(old_1[0], old_1[1], old_reward[1], next_heaps, action[1])\n", - " if done:\n", - " agent0.learn(heaps, action[0], reward[1][0])\n", - " agent1.learn(next_heaps, action[1], reward[1][1])\n", - " break\n", - " \n", - "\n", - " old_0 = heaps, action[0]\n", - " old_1 = next_heaps, action[1]\n", - " old_reward = reward[1]\n", - " heaps = nextnext_heaps\n", - " i += 1\n", - "\n", - " r0, r1 = evaluate([agent0, agent1], 10)\n", - " player0_rewards.append(r0) \n", - " player1_rewards.append(r1) \n", - " \n", - " return player0_rewards, player1_rewards, [agent0, agent1]\n" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "100%|██████████| 100000/100000 [10:33<00:00, 157.84it/s]\n" - ] - } - ], - "source": [ - "num_episodes = 100_000\n", - "r0, r1, agents = run_experiment(env, num_episodes)" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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QbnZa7b4EYD/r+I0Qmluj87B13UeYvoNS5k6r/poQZg1vQGhli6z+zwAwyCpbCcL04E6X9gZbz0htl+O51r04VdkX1Cl2u1ZXJYgByUoIoXiN9ezVUsrcDTG7UApD2EqvcnCGrdyFcGErn4fwF9kE4EkAuR7P0nnW9d4JYRZzkumZgHhOOYB7AvzWgzzTjSEG1UXWPbkMSthKpdz+sJ2kK2jHelnn7LSWJ0E4XV9iHW9pndtZO48DOMfn+nvWbZXpCjHrs8tanm3V3UUpcwCEM/4m67suhIiEVUkpI/sZ8zuEmJ3I97vm9KFPJn4Y55GZCBIEQWQUjLGnICJZHJzuvpRHGGNXATiXc358uvsSNYyxKRCOmtcloe4uEE66rTnnq6KuvyzAGOsLYePfiHNeEFGdvwB4mnP+dhT1EUQqSXgqlCAIIlNgjN0CEXVmO0Qc6qtgT80TqeclAPUYY7U551vS3ZlMh4noMvsBeBDARyTM2zDGLoZI+vQXhJ370wA+i1CYbwSh3R/nV5YgMhES6AmCKEt0hjA5qA1gOYQZyzNp7VE5hgt78BHp7kcWMQDCH2I23P1JyiuNIcLh7gORFG0igNuiqpxzvh4iwRhBZCVkckMQBEEQBEEQWQxFuSEIgiAIgiCILIYEeoIgCIIgCILIYsiGPkEaNGjAW7ZsmZa2i4uLUamSX4JLItuh+1w+oPtcfqB7XT6g+1w+SPV9/u233wo45w31/STQJ0jLli3x66+/pqXt/Px85OXlpaVtInXQfS4f0H0uP9C9Lh/QfS4fpPo+M8ZWmvaTyQ1BEARBEARBZDEk0BMEQRAEQRBEFkMCPUEQBEEQBEFkMSTQEwRBEARBEEQWQwI9QRAEQRAEQWQxFOUmyWzduhXr16/H7t27I6979+7dWLBgQeT1lnUqVqyIRo0aoVatWunuCkEQBEEQRMKQQJ9Etm7dinXr1qFZs2aoWrUqGGOR1l9UVISqVatGWmdZh3OOoqIirF69GgBIqCcIgiAIIushk5sksn79ejRr1gzVqlWLXJgn4oMxhmrVqqFZs2ZYv359urtDEARBEASRMCTQJ5Hdu3eTBj1DqVq1alLMoAiCIAiCIFINCfRJhjTzmQndF4IgCIIgygok0BMEQRAEQRBEFkMCPRGanj174rrrrkt3NwiCIAiCIAiQQE+UAcaPH48DDzwQlStXxoEHHoiPPvoo3V0iCIIgCIJIGSTQE1lJaWkpSkpKMH36dJx33nkYOHAg/vjjDwwcOBDnnnsufv7553R3kSAIgiAIIiWQQE/E0LNnT1x11VUYOnQo6tati7p16+KWW25BaWmpsfxbb72FI444AjVr1kSjRo1w7rnn7o3zzjlHmzZt8MQTTzjOWbx4MRhjmDVrFgBgy5YtuOKKK9CoUSPUrFkTxx57LH799de95V9//XXUqFEDkyZNQocOHVCpUiUsWLAATz/9NI477jjcddddaN++Pe666y707NkTTz/9dHIuDkEQBEEQRIaRsQI9YyyXMfY4Y2wDY2wbY2w8Y6yBS9lmjLFPGGMrGWOcMXahoUwbxtjXjLEdjLG/GWM3acerMcZeZYxtYoxtZoy9whgrtzEnx44di9LSUkyfPh2jRo3C6NGjXYXk4uJiDB8+HLNnz8aECRNQUFCAAQMGABDRZIYMGYJXX33Vcc6rr76Kjh074rDDDgPnHKeeeipWr16NCRMm4Pfff0ePHj3Qq1cv/PPPP3vP2blzJx588EGMGjUK8+fPR4sWLTB9+nSceOKJjrpPOukk/PTTT9FeEIIgCIIgiAwlYwV6ALcD6AugC4B9rX1vupQtBfAlgAsA/K0fZIzlAvgMwAIADQGcAeA2xth5SrFnAORZn7YA2gMYmfC3iOlLdJ9q1aoGLhuWffbZB88++yzy8vLQv39/3HLLLRg50nw5Bg8ejD59+qB169Y48sgj8eKLL2Lq1Kn4+29xKy699FIsXrwYM2bMAACUlJRgzJgxGDJkCADgu+++wx9//IEPPvgARx55JNq0aYMHHngArVu3xptv2re8pKQEzz33HLp37462bduiZs2aWLt2LRo3buzoT+PGjbF27drwX5ogCCLN7N4N/PwzUFKS7p4QBJFNZLJAfwWARznnyzjnWwDcCuBkxlhLvSDn/B/O+Quc82kATH+DPQC0AHAH57yQcz4LwCgAVwGApYm/EMDdnPN1nPP1AO4GcDFjrEoyvlym07VrV0es9m7dumH16tXYunVrTNlZs2ahb9++aNGiBWrWrInOnTsDAFatWgUAaNKkCU477bS9WvovvvgCGzduxMCBAwEAv/32GwoLC9GwYUPUqFFj7+fPP//E0qVL97ZToUIFdOzYMaZ9PaY855zizBMEkZUMHQp07Qrcc0+6e0IQRDZRId0dMMEYqw2gOYDf5D7O+VLG2FYAhwBYEbLKQwEs4pxvV/bNAnCttd4OQBW1Pet4VQht/Rytf1dADDjQrFkz5OfnGxvdvXs3ioqKHPsKC0P23IM9e/agQoVgt1DrhifS4VTt+65du6x6ilBaWoo9e/agqKgIO3bswEknnYTjjjsOL7/8Mho2bIiNGzeid+/e2LZt2946Bg0ahEsvvRQPP/wwXnrpJfTt2xdVqlRBUVERdu3ahUaNGuHrr7+O6UvNmjVRVFSE4uJiVK5cGcXFxY7jjRs3xl9//eXo6+rVq9GoUaOYa6+ze/du13uXSRQUFGRFP4nEoPtcfvC61y++mAcAGDECGDSInodshn7T5YNMuc8ZKdADqGUtt2j7NyvHwlDTp66ahvbkekx7nPPRAEYDQOfOnXleXp6x0QULFqBq1eSZ4RcVFSWl/pycHPz666+oUqXKXk3377//jqZNm6Jx48bIyclBhQoVULVqVcyfPx8FBQV49NFH0apVKwDAhx9+CACoXLny3v717dsXtWrVwhtvvIFJkyZh0qRJe4916dIF99xzD6pVq4bWrVsb+1SpUiUAiPm+Rx11FKZMmYI777xz774pU6age/fuvtemYsWKcLt3mUR+fn5W9JNIDLrP5Yeg95qeh+yGftPlg0y5z5lqcrPNWtbW9tcBEGvzEaw+r7pM7cn1eNrLetasWYPrr78eCxcuxAcffIDHH38cN9xwQ0y55s2bo3Llynj++eexbNkyTJw4EXfffXdMudzcXAwePBh33HEHmjVrhuOPP37vsd69e6N79+7o27cvPv/8cyxfvhzTp0/Hvffei6lTp3r2c+jQofj222/x8MMPIz8/Hw8//DC+++47XH/99QlfA4IgCIIgiGwgIwV6zvlmAKsAHCb3McZaQ2jL57ic5sVsAG0ZY9WVfZ2s/QCwEMBOtT3reBGARXG0l/UMHDgQJSUl6NKlCy6//HIMGTLEKNA3bNgQb7zxBj7++GMceOCBGD58uKfzbHFxMS699FKHjTtjDJMmTUKvXr1w+eWXo127dujfvz8WLlyIpk2bevbzqKOOwjvvvIM33ngDhxxyCMaMGYN3330XXbp0SewCEARBEARBZAmMc57uPhhhjN0F4CIAJwPYCOAVADU55ye7lJfOqwsB3AdgHIA9nPM9VpSbPyEi4dwOYTM/GcBQzvk71vkvQUS2Ocuq50MAf3LOr/LqZ+fOnbkaL11lwYIFaN++faDvGw/JMrnp2bMnOnTogOeffz7Sen/++Wd0794dy5YtQ/PmzSOtOx6SfX+iIlOm84jkQvfZnRtuABo2BBTLuqzG616r/vxBXs9//w3cdx/wzDNA9eq+xYkUQr/p+Pn+e6B5c8Cy5M1oUn2fGWO/cc476/szUkNv8QhEqMmZAFYDyIWIRAPG2EDG2HatfJH1aQ7gVWt9GABwzksAnA6gA8TgYBKAx6UwbzEUQhsvPwsBxKqkidDs2rULS5YswbBhw9CvX7+MEOYJgsgO/vkHePpp4K670t2TzGS//YBXXgFq1Eh3TwgiGubPB3r2BFxc6ggXMlag55yXcM5v5pw34JzX5JyfxTkvsI6N5ZzX0Mozw+c+5fgSzvnxnPNqnPOmnPMntPMLOeeDOed1rM8QznmI2DCEG+PGjUO7du2wceNGV3McgiDKFyUlwPjxwLp13uVmz7bXf/kluX3KJA48MN09IIj0MEcxrM6A4DFZQ6ZGuSHSyJQpUyKt75JLLsEll1wSaZ0EQWQ3Tz8N3HyzWPcyLXn0UXv9hx+AI46IL1letuH1HVesABo1AqpVS1l3CCJlqNGpJ08GyGopGBmroScIgshG/v4bGDuWMn36IYV5P6ooqf1uuQXIySkf19ZNoF+4UNgVt2uX2v4QRKqw0t4AAPbsEcupU4Eff0xN+3v2BPNfyTRIoCcIgoiQNm2ACy8Uds1E4phy5/3wQ+r7kWr+/NO8X06g/v13yrpCJMj77wP335/uXmQPK1fa66+9BpSWAj16AMcck3xBe8sWoHZt4Pzzk9tOMiCBniAIIkKkdunKK9Pbj7LC4YfH7nv77eS2OWMG8NlnyW0jXr791l5/5x33ckTm0L8/cO+9wB9/pLsn2cHq1fb6vHnOTPeqsJ8MJk8GCguB995LbjvJgAR6giCIMsi99wKvv57uXiTO8OGx+0xCfpR06waccQawdm1y24kHVdAYMCB9/SDCs3lzunuQHeze7dxWTXBcooRHhmq/n22QQE8QBFHGWLJETPFfemm6e5IcGjQIf852PdBxAP76K/w5BOFGaWm6eyDYuTNWaM4kVKH64IOdfU22wD1mTHLrTyYk0BMEQZQxZsyItr78fGDp0mjrTISwgbjOOguoWRN48cVw5x15pHdYzVGjgDvuCFenF9noiEfEsn49MHNm7P5km4oFobQUaNIE2GefdPfEHVVob9YstQL9iScmt/5kQgI9EZqePXviuuuuS3c3CIJwYf786OratQto3144+0bFhAnO7bBOri+8EK78Rx+J5TXXhDsPAD7/3P3YVVcBjzwS3WBH15qGnVVItn1x1HAObNqU7l5ET+PGYjC4cGFlFBTY+90cnVPJrl3C8XPjxszV0hcW2uvTpwMdO9rbyRbomzRJbv3JhAR6IquZN28ezjnnHLRu3RqMMdx3333p7hJBpJ2HH46uLvXlGhWnn+7cPvbY6NuIip07zftVYWjbtmja0gWssOE5W7aMph+p4pxzgHr1gFmz0t2T5PDpp7UcAn2msXVruntgRh3IysGHJNlmSzlZLBVncdeJ8kxpaSlKSkpQWFiIli1b4sEHH0SrVq3S3S2CyEiWLxc29Vu2hD+3PCRx8sLNDEYVvqMylZExtyUmgX7//aNpq6Ag/Q6AH34olqNGpbcf8bBkCXDffUL4/Ocf8zPw+uv1HMm/MiF3gNpP/XnLFHbscD/WvHly2543z15nLLNMDf0ggZ6IoWfPnrjqqqswdOhQ1K1bF3Xr1sUtt9yCUpeh8VtvvYUjjjgCNWvWRKNGjXDuueditRV3inOONm3a4IknnnCcs3jxYjDGMMtSzWzZsgVXXHEFGjVqhJo1a+LYY4/Fr4o7++uvv44aNWpg0qRJ6NChAypVqoQFCxbgiCOOwBNPPIELLrgA1ShtIlEGSVRYLC0FuncXUW+uvz6SLiWVIN/3ttuS3w8/VGFIjcKRCLqG/p9/YstcdVXi7axZAzRsCBx0UOJ1RUEqQgSuXAl89VV09fXrJyIw1awJNG0KXHZZbJnSUubQKFevHl378aL2JxsF+mRPwo8Y4dw+7LDkthclJNATRsaOHYvS0lJMnz4do0aNwujRo/H0008byxYXF2P48OGYPXs2JkyYgIKCAgyw4qkxxjBkyBC8+uqrjnNeffVVdOzYEYcddhg45zj11FOxevVqTJgwAb///jt69OiBXr164R/ljbZz5048+OCDGDVqFObPn48WLVok7fsTRCbw4Yciosu0acHPUaenAaHllT+jRMNYJnu6+9xzgc6d/U1N6tRJXh/07+g2Q6EKQ5MnR9O2LtCbpv+jmA2Qz9OSJYnXFQWpyPzbsqVwePzuu2jq0+3htVccAGCffXY7nqewTtnJQO2PGt89k/DyHfn999T1A3A3uctESKBPNYxF9qlarVrw8iHZZ5998OyzzyIvLw/9+/fHLbfcgpEjRxrLDh48GH369EHr1q1x5JFH4sUXX8TUqVPxt5XK8NJLL8XixYsxwwq9UVJSgjFjxmDIkCEAgO+++w5//PEHPvjgAxx55JFo06YNHnjgAbRu3Rpvvvnm3nZKSkrw3HPPoXv37mjbti1q1qwZ+nsRhBc33gjcdFO6eyEoLQXOPhv491/gvPOCnTNjhnAiU0lUC6cKAMkW6D/4QNhTL19u7zPFWk+mM9+//zq33abcVdvoX36Jpm39ew0dGlsmCq3qI48kXkeUROWDEIRevVLX1kUX/ev4zdxzT+radkPtzwEHhD+fc6FoSGZIVy8NfZRRpYKQbrO0MJBATxjp2rUrmDIQ6NatG1avXo2tBi+aWbNmoW/fvmjRogVq1qyJzp07AwBWrVoFAGjSpAlOO+20vVr6L774Ahs3bsTAgQMBAL/99hsKCwvRsGFD1KhRY+/nzz//xFLlbVqhQgV0VN3dCSJCSkqAp54CRo6MX2iKyvRi4UKgShV7W82c6EZpqUiIpDucJir8qgJAqqJi5Oba6/XqxR5P5ktW2nVLNGvBvajC2aRJ0bStX1+TiUiiAn1RUeY5oR5ySLp7kBxKSphjRiUTIqgkOhsyfrxQNCTTlt1LoG/cOHntAtmdrI0E+lTDeWSfosLC4OWTxI4dO3DSSSehWrVqePPNNzFz5kx88cUXAIQpjuSyyy7Du+++i8LCQrz66qs466yzULduXQDCwbVx48b4448/HJ/8/Hw88MADe+uoXLkyctU3PUFEiCpMxTsVHZVAP3x4OOGZc5Fe3sT48Yn1Rf1OyRTo3ZxMpQB7+eXx9UMVYLp29S9v6SF8icrMRiXI90pUIAsbIjRZqPf4rrtS11ayUf0eKlTgjuckEzT0iT4/48ZF0w8vvO5XspUK2WQzr0MCPWHk559/Bld+VTNmzEDTpk1Rq1YtR7n8/HwUFBRgxIgR6NGjB/Ly8rB+/fqY+k4++WTUqlUL//vf//DZZ59h8ODBe48ddthhWLduHXJyctCmTRvHp1GjRsn7kgShoGp94xXMVVORRJg7N3y7boL7f/6TWF/UJFXJ1IxXqmSvq1aC8gV+5JHAoEHh+/H99/Z6kIgVVasGq3fz5uB9CEqQgaSXhr5nz2jaSAWq0Hbeeck1u5kzJ7bt228HPvssfF2lpd4zHGp25urVSx2/v0wIYambzYUd7OgmfanGT6D/4w/guuviz28QzzORKZBATxhZs2YNrr/+eixcuBAffPABHn/8cdxwww0x5Zo3b47KlSvj+eefx7JlyzBx4kTcfffdMeVyc3MxePBg3HHHHWjWrBmOP/74vcd69+6N7t27o2/fvvj888+xfPlyTJ8+Hffeey+mTp3q2c/i4uK9Gv2dO3di7dq1+OOPP7AkU7y9iKxBFZTiCe8IAH36RNOXsAlovDKnuk1fcy6cZM89VwjQjz5qLvfHH/Z6VDMQfqhChnQ2LCgQQj1gFujHjYsV3ACnALBhg7+DcTqT7Ywe7V/GS6APEkPbK/NtKtE1xQcemLy21q51bk+eLJ73M84IX9fzzwOHH+5+XNXIl5YKp/ZMYvFi53ZYEy5T5KVU4vX75Bzo1Ekknrv99vjqD6tMySRIoCeMDBw4ECUlJejSpQsuv/xyDBkyxCjQN2zYEG+88QY+/vhjHHjggRg+fLin82xxcTEuvfRSh30+YwyTJk1Cr169cPnll6Ndu3bo378/Fi5ciKZNm3r2c82aNejUqRM6deqEpUuXYtSoUejUqRMuM8UQIwgPVAHj5pvjqyNRLePu3cBPP4U/z/IvD8X77wtt4gcfiG23F6AamSOqiA9+E29SoFczn95xB1CxoljXX+ozZgAXXAAcemhsXWvWOLePPtq7bd3OOZ5rGy9BhG3TwEv+NQcZjOhhL1NpjqKiC/RWDIXI+e9/gZNPtrebNYuNBCXbX7TIv75nnnE/pruYlZQwh39AJkRW1v09kpE4Lpl4PeOqQ3uQwbHOnj3eg7VMp0K6O0BkJhUqVMDzzz+P559/PubYFE0deN555+E8LQwHN7wl1q5di9zcXFxyySUxx2rWrIlnnnkGz7j8W15yySXG81q2bGlsiyDC8vLL9vrHH8dXhxQ44+Wyy4AxYxKrIyhBIuds3+4Ufo4/HlixIrF2+/cHDFZ5DqSw99przv3SLEfX0HuZOplMjjh3D/6l56czOeVGyV13idjXS5eK2ZKPPgp3/qmnipjoTz0V3+xCSQlQIQ2SQCpCVQLAtdc6t88/3zzTtN9+YrlsWewzoOLV7wcf1MsyNGtmb0u3t2Qna9u2TcTHN/H557Fla9cOXvcllyQe/jYRvMztLroosbpvvBH4+uvE6kgnpKEnks6uXbuwZMkSDBs2DP369UPzZKd6I4g4uPPOxOvQQx6GJRXCvFcfv//eaWOrh2NUNeYm9uwRgxI9Uoxk+3YxM+CHNANQtYcnnWQPmPSXupevvEkA8xJ89fLJ1hfIRDYdO4pZhrBMmGDb/cfj45AuE6Nkh0B1IzfXeyakdWvv871+A/qxkhLghBOc+4I6XcfLww8DtWqZ4+IDsd8vrHlhKoR5r4l5r+c1kWhTJSXAc8/Ff34mQAI9kXTGjRuHdu3aYePGja7mOARRFlB8vQGkz5zBi0MOcbeF79nTqRU32dd6fadx44BXXhFh7RJBtqu2VaWKraHXX+qqKZDeP9N38DIz0B0Xgwie/fr5l/HDzVwriI2zHOjEE44yXQJ9qjT0OsXFTtOXwkLgsceCnes3YNf9VaZNqx7zPdWZwGQgFRNupmK62U+8/kLJRDeTU0nW8+qmhAAyN6OuDgn0RAxTpkwxmtrEyyWXXIKSkhLMmjUL+8l5TYIog+hasXQJLV6sXu3uAAv4m3x4vWxV4cCU7THoAEe+QFXThDPOsAXXZcuc5StXttd1O39TciYvgV43VQgS1SOZL/xXXvEv4zdz4kW6BPow2Y+jZOZM4KWX7O3LLwduu83/vDlzgPr1vctMnOjcnjq1Rsyz8cYbwfqZLHTH6bACvZqMKh2zLPPnJ6der8Fauh2Bg0ICPUEQRJKIUtCLUtt/773ux0pLbaHdJMB4+Qmojo0mG96gYfvkdbNSVQAAzjoLmD1brP/2m7O8em10IaNOndj61VCcOvogzE2gV8NbfvONe31uvPVWsBwBXgG7rrlGLFu2DNam6RlKl0CfqHlavEybBvToYW97zWrs2WNHeQoysDKhX9/zz4+vnqjo29e5HTb86hVX2OtRKCzWr4+9Rl6OqV9+GbzuMP+ZXv9NpgRvmQgJ9EmGHDYzE7ovBBB93rUaNZzbUcb89sqeGCWffy4igTz/vDM2vOTqq93P1TX/F17oFLCDOg0vXAh8+634SCpUiBXkJS+8YK/rwrXJys/LJCiIkPLQQ857GzZSyI4dORg0CDjnHP+ypnsgkROpQTOQmuy33ezuk/0X+fPPya3fi4YN7fX8fPdyFSuKMIgPPQQ8+2x8bemRbyKc/I6LDRuc22Gjwai/50Sjei1eLDK/duni3B9VCNO33gpedtgw92Nes5KZBAn0SaRixYooypQsHoSDoqIiVEw0JAmR1RQXi+nnnJzotGY33eTcfvvtaOoFhMY7lX8nd99tFm69bE11xo4VH4kuxLlNZV90kYioo0acyMkBune3t1XToB9/tNd1DWTYBDNBBE2vl38Qtm8P/ur1GmBIkyS/qEESU5ZYU7jI4cPFIEGP3x4lMqeAG5wL0yp1GQ+mv/n77w9XRyL3Ww8Hm26RQB+Qq3kmgqBq03XTt7DIJE6//+7cL7PRjhwJdO4cf/2PPx7/uWoUMDkzmOmQQJ9EGjVqhNWrV6OwsJA0whkC5xyFhYVYvXo1ZaHNEpJlp6mGmHv33djj8Uwn6z/zqLXqHTrE7jPF1I6CzZvN18ArooyJiy6yhRg9xn6YcIlVqwIDB9rbZ50V7Lyw0Yueeip2X9TP4K5dsXEL27cP3h8dVeOsDm50TGH91EGS5L77xCAhmVE/tKTjMQwfDuy/vxjIyWU8scXjffWuXh3fednG5s3h7OjVGZ1EbctNg4mdO22Tu2nTRChXnV27RLhW1RfCRCJJolRfgU8/jb+eVEJx6JNILesfa82aNdidBEPF3bt3k5Y5DipWrIjGjRvvvT9E5nLffSIM27x5QJs20datao5NvPwycOWV4erUf+amREdh2Gcf50tTaipVZ9FkavxMjq0lJULDec89weupVk30u0UL5/4wAj1jTpv6oKi27n64ZeidPt0s+MbLtm2xujSTrT/gbhKjpuVQfR2OOSY6c5lkxkv3S1I2fHjsviuvdNpwByGsH4tMBKXPtmUaW7eKmcXhw4EjjkisrqOOEv+xQVCfx0SfM9PvTQ0pOn68eSbnwgtFiMpJk4RTM+Dvn/Pcc+I3NmhQsL6pz43bYDvTIIE+ydSqVStpgmN+fj7y8vKSUjdBpJt77gEeeECsP/mkM2NpFPhNF0+ZEl6g10PSJeo0tnhxrF3+778Dhx1mbydT6OrZ07z/3nvDCfSAePnrzm5hExp52ZNLdEfeMPegVy/z/ieesAV6t5Cf8+cHt/0tKooV6MPO5qh282FnTaJg6lQh9Bx3XHzn67blQSkuDvYcxEvv3mKZzMgmw4d7O6YD4trm5rr/vmUyqM8/T1ywnj9f+K20a+dfVhXoH3pIRJ+Kl0MOiTW3UQXpI45wOjBLZHZrFd03QGXTJuD//k+smwR6k9PrZ58B3bqJwbx0Ps90yOSGIIiMRArzQHRC61tvxWZzdCNsxk4g9qUSVNAqLQXmzascs7969diyEyY4t/UwdJnK2LGxzmVhBVF9QtIkyOgmSGEEetP1BpyZg91s8sMkhSosjL1pc+b4n6d+X3Wgl+jvw00g9NJu9+ghBkDxTj6HHSxLkh2VR/6+khmf/b77vI/v2iXMqOrXD+d4GjZijUrQgZkq0P/yS2LmaKYQnurvtU4doGtX0c6AAd51efVDDZFqetZPPDF237x5gNSXpmPAHA9Z8iogCKI8E1Xs4UGDhLNnkOllN01sGIJGP7noIuCcczzyzSscfbRz+4svzOX0lPdu2vYoOf1092ODBgH9+zv3hX1R6oJraam/QCEFhCC29FLr6YVbe2GEqR07vF+9bk6bqrBz3XXB25O4XYOw30kVilKda2HRouBlTU7AQetXZ/A6dgxfT1hGjBCO4Lt3C5+ezZvF4PGgg4LXMXly/O0HnZHQB3kms7xEUJ8n+f9wxBGxM5U6XrMU6v9S0BCUffva7Sc7u29UkEBPEETGoWulEtE8mUhm9A4VPcKFG372/CrHHw989529/d575nK67en//he8jXgJO1uQmxsr5IehsNBfYysFBFNcfB03Db2KW/z0MGYPJpMblbvuMu+XwlSlSsEGHzpSQNGjOrkJ9KNGmferQleqkwu9/36wckuXAsceG3876n+Qm3+DG9dfH769u+4SYVonTwYuvtje/9dfwevw+y14maUERX/Oo9Jey3rVGTC1bj+FRNDnMGhUnxNPtAd1fgnFMgUS6AmCyDh+/TW59bvFM48aqe2bPl3Ym8aDtOlVUR0G3TT0F17oFLCbNYuv/TB88km48jk5wex233zTvH/VKv+ZFCl8BhE8qlUz72/bNlhfglK5srf0od63ffe11+V3Cet7IJHmEgcf7NwfNtOsKjguXhxfX3T22SdYuYcfDlYuSif6KVPClQ9rV65qvYPMeLiZA/r5Bemzdjpq3gc3dIE+qihb8hqozudqJCu/0MJBzc6CZAUGgEaNbAdp9Z5MnQq0apW+xGhekEBPEETGI/9YE0GNgpCs9OFuHHWUiGV9wgnhzzVpGd2CW8nYyddcI4RCNRJK9eqJvYSSMSBgTMxi+EWQVbVvqmNt9er+wqibQG8KeeemoZfhHvv2BR57zLu9IBxwgEvoGgPqgEUK5GETWUmkIK47lU6cGK4eVQDVnRrjJdWmO34ESfrlRlgnVXU2wC/6DxAb/lUOOPwcbf0cr48/3r/tZEXgNuXsOO00e91t9k+aT8p+RRGN+swzxWBCDpzVAWyPHsCKFZmptSeBniCIjEPXtiQalg1wap9MzlipQE2UFBTTi8ytnnfeEcKWzJwq47Yfe6y4pmFNB1ROPtm/TBCTFYkMC1itmn+8czVQmHo9du/2T3TlJtCbwh9WqWKu4/HHxSAwqnjUQcwD6tUTS9VMIlGHUHm+PiBUbfaDCGxqP6IyuQkbXjIsl10Wrrwa2z8spnwROqpQrgraQZLc6c/yHXeYy+mRhNxmoMLwzjvObXUgVlgoskUvXRq+3qFDY/cFEc6lkkQ+P4kqHs46S/yn5OTYAy2yoScIgoiIKKLc+MUpNhEmwkSqbYndUF/2vXqJl6t0BEvkOqp2vW6ECb34xBP2ul9qdVUrr5oz7N7tHzEkjMmN2/3u1k2E9YuKoiL/G2F6nqQgHdQ8xe38ihWdGlE1oosaenP//c31qJFOEo2cLE0ski3QX3VVuPLxJLGSBBFEVdOSsCFLH33UuT1jhrld/RlSBfp4TQD138iIEfb68OFixi3IjKo+IxPmv1ZFOvPKZ9vPHO2UU5zb+iB5/Hj7f1L6kEgFSaZDAj1BEBlHMmKrf/llsHLqtLVJa+SGHoMeEJq6ZE1RBx1AtG7tbqIzerQwLVBjmrsRT1KnoPhFnthvP3tdtYENorGWL2NTNA793rRuba7jiCOitZn96KM6rscqW9FLn3xSLNWBiJuGPSjq+WoYQFW4ys+31xkDxo0THxXVKTve51tm4pQOwMk2uQnyjAO2OVIqTYDCOP17Re7RQ6fq90adgfKzt3dDD/Go/u9J36cgJmF6lKbS0nARjHTkgLBCBe8sxHokrkxRxEQBCfQEQWQcyRKCg6Cm/H7tteDnqXG1ZdKlgw4yfxfOE/+Oibz8AKEhvPxyETUkiIAYJE56vITRzlasaGvs3bKoStRrbEpMppskqPdej4oT1s7ci7Vr3dWIMrOtdIZVk12pQosf27cL0wFVuAo7IDj0UCEkXnCBU/CZOTO2T2GRQpcMR5hsDX3Q75yobfSll4qlLlyfcILZ5GXPnmCRe955R9h2eznoPv20c1v3FVJ9Jzp39m/ThNfANsx/minqVtAINCbkMzl9uvN3/d//OsvpA7V4zIMyFRLoywMffuhvpEoQGUQytCaVY/M2GenSJfG2pEbz3XdjNWHr14sIHF27iu14Q3LGqzHeuFFkl1Q1fUFmRPQyr74aWybeFOlh44VL4cxPQ69qD9esidXceQkg8v4AQghQTSQkc+d6t++GV7vyOZVCuyrohhHIL7gAOPtsO0MmAIwZI5ZBkyaNH2+vq4Onp56K7VNY5PeSAxjV+TdR7bgp8lFQgd4vHnvfvt7HpWO67nQ9apT9XSWrVolXs5yNceOvv8SMyief+Du+qqxY4dxW/wPPPDN4PSpeEcgS/d9u3Dj+c2+4wV4/6SR7XY/soz5bnLuHZs1GSKAvD8h/9XXr0t0TgghEGOdKyfbtIqSgmy1mnz7+dRx7LNC8efi2ddRQfuvXO4/Nni2E/F9+AYqKgFtuMdfhNW0MOLWkYahXTzi4hokZ/9VXQMuWzn1DhsSWKyqKr09hTaxUgd7LYVp1fC0pAZYscR7XBUdV0K5XT0QmAkTkkU6dYuvXnR/l+W+9JYQKt6Q7p55qqxB184Ru3cTSFGHDS6CXEUqk4/Nnn4nlK6/Elo0nJ4Fb9JV4Nevyu6hCpqzL6zkKEuPdNHNToULwGPZeg2U1a7Bk5Eh7XT4Dqjb+6qtFqEPdqbpFC+DGG/37E+Q/yTQI0gduqn+EmwlSIomiEs2um0hiLBWvAZI66HjnHeDZZ93LNmgQTX9SRcYK9IyxXMbY44yxDYyxbYyx8Ywx18vLGDuZMTaPMVbEGPuTMXaicuwYxth27bOHMTZHKTOFMbZLK3OaubUsQn1blKWhKFGm0YWEIFO5NWuK8IJuDoN+wub774vpbD2kX6Loml31ZfPrr+YXaP/+dhQMN6fDKE1A/KI49O4NHHaYfz3xCndhQ0HKe1RcbB7YmDSFnMdGLpEDiXfeEZFs1POqVbP9BkaODBbST9qfDxokfDaeecat/+KBPvfcWK3tueeKZVgNvXRaPvVUf8FKtZMPiptAn6iGXv29ydeV2n85kJJJ2oIM/kz/FzVrCt3WlCkiRwMgfvOmiFFhzNk4d2qHv/kmtow0hTnqqOD1hsU0iNFn/6TzrTQnM0W9indQDjgHCfGYFAbNMeCHVzQvdeDjZ7gg8324zRwkavYYNRkr0AO4HUBfAF0AyNQaxpQejLHWAD4E8DCA2tbyI8ZYSwDgnE/lnNeQHwC1AKwG8JZW1QNqOc75hKi/VMpRw0eEmasjiDSia9Nvvjn4uW4RI/xCtp19dvA2/NAT96ioWqjq1WMzugLCVEemfO/Xz1xPkIRMURLEZMmkJdSd0EyEzRYrbWTdzJVMmr5TT43dJ/s7YABw661ObWmNGuETOOmDMzfzjd27hVRqGjxKkw0ptKsCvZcNvRS4x46NLrymilsCr3gFeikMqd9F1qVmC505U9xvKVQFMcdxK8OYmIV7803x7Jxzjnmg5jZoCBISURWsR436Cx9/HL2SwIRJENczDkvzKzmLaYr85RUNyk9IV+vbtElcR8YSGyTEQ9Om7sfUZ8NvlrJFC7Fct878nKt+U5lAJgv0VwB4lHO+jHO+BcCtAE6WQrrGxQB+45y/xTkv5pyPBTDL2m+iD4AmAEK4vGUpUaVxI4gUojsr+jk/BsGvjkRjfKuYzFFMvP++e2hACWNCg66Hjfzgg/j6lkykwCmdgl95JdhgLKzgLLXy//mP+bjJvEqNtS7xEg7r1g0fTUYX4HUTH8miRWJ0ZPp7lgKVSUMvHSJNsxKvv26v+wkqppjspaXe0UncNPSmhEBhUIV3aRKj7svNFRpleV0SEehVate21+Ugyg85wyMjJ5lCuaoZanv02OFrcx8VauQhFa/ZmNzc2MGG2//gxo3e5imA075edUI3OaT7kYhBgdcsjvps+IXKVJ10TUqCsBmBk01GCvSMsdoAmgPYm6Cdc74UwFYApginh6plLWZZ+01cBWA853yDtv96xti/lunOHYyxOIODZRCZmJ+YINKAm4ZRkgotms4jjwTLSLnffk6BDQDWrk1KlxJCviz/7//ETMngwcE0+2EFesm6dbYD3PPPO4/pZjcmkyGvrJwtWoQX6HVTFzeb4FdfFaFUvvjCvS6TQC/NTkyo39dPI2oyIdizB/j5Z/dzpLCvXzPVcTYo6ndSw6HK2Oi63wkA/P23WAaxgw/rVDtunHMw43bfpKB4zTXi+dZ/k4CdVTjV6FGZJKqj+uWXi6U6u7djh1OT72bK16BBMP8Fifpc/Pijf/mePZ3bpsRvXgSdsVSfDb/IXWqABNNvNQpFU5TE+TeadKQ7mG4JuFk5plLTpexBekHG2H4ATgHQSzt0B4B8iEHDEQDGWm3F5GBjjF0BMYOAZs2aIT8eg8QIKCgo8G275oIFUGcJ09VXIn6C3OeyR6zhuP81sM8xlX3oof0BxEpol166EUccUYj8fNVWx7sur/br19+Dd97ZBSCYZ69JI+beZp6hXDx99a7XrT8PPlgbw4btE7NfUlx8AIBcLF26CLVqCQlz5coqAFq61gkAO3YwAOKNfOSRO/DLL9Vdy+r9zcnZCqAWdu5cDSj/dvPmuV0be9+iRUuxc+dumL5/hw6L8O23NQC4z9/n5+dj6tRcHHOMiHe5fPk/yM/f4tKuuf/5+flo2nR/rFlT0VF+1apKAFqjsHAX8vOXG89T2bWrOQBhVyYFt9iy4vydO9cjP/9ftGnTCkuWiBHX3LkLMW5cAwDmuI3z5q1E1apF2LEjB0Bbl/qDIRJriftdULBob31//y3q2ry5GoROz677scdE39ev929v/foKANo49s2fnx/AETzP6sdGmK7D9devQn6+eRpj6tRcFBbm4J9/du+dqTH/dyeYictA8+bFeOWVHQDMySJkH6pWrQ+gIXr2LEB+vm0fw1gdCKMFYMSIXTjqqOWxlXj02/Tb+v13+/iqVYXIz9cddZz1tW69EVOm2Nfc73ejMmfOQmzYsD+ACmjWrBj5+ctQv34bbNwYK+KuW6d+d2d9o0b95XgPFBZWBtAKgJiVue4653/KvHn/Ij9/fea8oznnGfcBUAcAB9BR278FwBmG8h8DeFrb9wyADw1l7wcwP0AfBgL4y6/c4YcfztPFggUL/Av98IMMeS0+RNYR6D6XMdRHVn42bXKW2bzZ/Zygdb73nrls9+7ude3YwXlxsXv9117L+T33mNsL+gl6XYJ87yAE7U9JiXd71auL/du22ft+/jm2vsMOc55XVOS8zx9+aG+PGePd37PPFsv333fuV+tU+6rumz/f/ftzzvnYse7XZPTo2Dpvu825fd55/tebc85HjhTrV1xhl1m0SOzbf39737HHul/7Cy/0v39y+8UXxfaUKc7rfued7nVMnCjO2bIl+PPqhlqH2q+HHxbbs2Z53zed3bvFtbnlFrG9alV8fZRlf/yR84MPTvx7mv67E/lfcPv06cP5+ef73/977xXb997r7NOOHf7fM8j/g9vxG2901rV9e2yZG26Ivw/quVWrirLNmpnLDhvmXp/On3/GHle3r71W7Ev1OxrAr5zHyqMZaXLDOd8MYBWAvZOkluNrLQCmSZLZalmLTtb+vTDGKgAYAiCIdVYpgCTkq0wx336b7h4QRCSo5gB9+ohIBomm5HaLm66mB1d/Qrt2CUdWrzByL7zgbtudKCYntmSjmp34aTilQ7LqWGeyZ9Wz6lapIswt7rtP3FfVDtkvNrW0HdbNdqSJhhe7d4tXsxteJjem9PaPPuo0SQkaAvD664E//3QmwTGZ3EjHXtPzFcZxXNatZg7ds0eEVnRD2htHkSNCzkpJcxsZTlFGtJGmDCaHcRPTpgHffy8iFQFO85k+fYANunGtC2pEqmQnuoqSPXuC2XPL667/VvwCBph491173c/0RPcTMvlqBLneX30FnGaIPfjUU3ZWb+kr4/bblSY3QaKEeZnkAYnFzU8GGSnQW4wGcBtjrBVjrBaARwFM5pyvMJQdA6AzY2wAY6wiY2wAgMMBvKGVOx1iTmqMupMxVocxdhpjrAYTdAJwH4B3ke3o3oUEkaU0amSvf/65WOrpwyVBkzW5CXPq/uOPt53B/vpLLHX79auvttfr1Uss26Q6Va2TaBbLeNDDKrqhOjKqAoMu0P/6qzmm+5132oG4VH8Gr6gbgO0m9Msvzv2qHfl++5nPfeklb0HCS6B38w1YvtxenzhRCMlqaESTfTZjIqqR+l29otyY8jTIjKtBkFFA9GRObduaywO2QJ9o0icgNvymzGgqwxZKAVF9DmSIQdN1VwX21auBCUp8ugkTgscTl8/tzz8DCxYEOydKgia/0/nySzvj6XHHxR6Xz428d6bfVJi8FICdL0Ge6+UPcu21IrKQxBTLP0juy9693SM4yYGmfGbc/HJkOdPAQGfhQue2PkAPEvUolWSyQP8IgM8AzIQIMZkL4EIAYIwNZIztvbRcOMyeBWAYhA38MAD9DML/lQDe5Zxv0vZXtM5ZbZ3/LoC3YbCfzzp693ZuP/JIevpBEC78+KPIWqhGWDWhRqXwo27dWGHdpFF107DowqHU/rgNANREPU89FT5REgD06LEdnAMdOwY/R+3PuwmoH0xZUCXff+/cVgcvKmosey8N/eGH+/dHFaT9BHqJKsQBzvv93nvmc55/3uwsLcNXegn0qnZbRddWrlgBnHCCvX3yyfa6V1xyrzj08ToRS2QW3B497H179tjXyXTNpTAThUAvv5N+feWzJr+nKtBL3ZR+v777zo7dD4jrq85WhPktyu99003Bz4kSP8d9L+6+WyxN0W4++kgs5f+F6ZqEnXlRE99t3eqc1TShOgu7/R6DYOr7AQfEhnTVn62zzhJLt+dXd6rXyw4aFBtjJF0O0G5krEDPOS/hnN/MOW/AOa/JOT+Lc15gHRvLRTx5tfwXnPODOOdVreWXhjpP5pxfati/gXPelXNe22qrLed8OOc8w3yY40B/u9yR/WMUomxxzDEipfk118QeU0PihRUkSkvFFPwPP4htXUv7+utOrb+KzLKpUlzsbZ4hcdMGDhjgfV5YDRngvD4nnuhezo+JE4EPPxTJrGbOtENijh4dO8BwG3Bcqvyzqt/FS+vrhvoynjs32DlegpuX9tqUt0AOOrwEZzdtahjzhfPPdz9mEui94tC7PT8mszJVcJS/iz17bBO2khI79KgkGRp6t+sr21IF+rFjzWV7aeEt/vwz/n4lOlDKFNTMtYCd58FLoA+LGlUnbLQXUzIvFTdTSMmsWU4TzJ07Y58pXaCXeT1Mz+8vv4hZBB21bJUqsb/tTHteMlagJyIi0+IqEYQL69aJpSo0n3++/eJwM43g3Gyr/O67IlnQsceazx84MFz/ggr0blrdq67yPu/ffwOqohVGjrTNLxJ5udSuLRJYdesGdO4skmxxHhstBXDPwijNkXTcwul5oV7DefOCnTNokPsxVeOsayJNz47sczwmN0GekSBlvQR6U7/c6pLnqMfVZ0Wu64KOfp/jFeilC6GKV8ZbwDaZU00eTAJX1KRTQLv3XudMTiLIBFI60iwuipwb6nMZjzLCCz8NfqdOTv+KevVsvxz5+9afLfl7NT2/bomoDjjAXi8pcZrLxWselUxIoC/rkEBPZAkzZoilqmFjzNYgugkS1asLswYdXWDXX2JBTTnU84NottymzTt08D5vzpxgxuoybT0gNFVeWttk4CbQR+mwq34XU/IeU4p4k12+RBUo9Xto0qjLfV4CvVveAi9hSfft8DJzkNdArc9Ls+1WlzznzjvtfTJBEmD/DvQBr55BNR6Tmz17xHN/5pmx+wH3Z/bJJ8VS9UdYtsxeDzNoCkMqfkNPPWXe361b+Iyqbr4hbv9tUuiV5jlh0H836j1IxFHapOhQEzoFQb1ucjCg/3bl79X0/Lrdd9UUsbDQ+d9reuekGxLoyzpRpr8kiCSzc2dsch43DaKkqCiYkCGFiIkThZlF2GlnPSLKTz+JpR5Bw02wdbO5DotumiQHEGEHKPESxpchXtTvYtKEmTSCRx/tXp9XiGjTcyAdC70Eerfr7fWXqw8ygwj0qqAtE+GY+tW6tbkeeb6b+5SpHSDW50Rq6MPoiJYsEQ6vuiOj/N5u19BkZqUmJ9KdFaPCS6C/NMZYNz7ckjNVqxbebM6ULE3iNWMVFtMsi/q79IsG44XJsdSUWMwLtX05CNR/I3LblJDP677feqtYvvOOc3+TJuH6mApIoC/rmP59SWtPZCglJbEaWSnELF7sfl6QkGdS0Kpd29/O+Q09PhaESZA6cJB25jJCh0TVJKr4CfQ9ewaLceh2HdIh0If9KwnqROaXofWII2L3xatd1YXqOXPsAYOpHzfeCAwb5sxwqjJ7tnk/AEya5N22iinKzZeWZ5gpAoub2YPfb8NvwCx56y0xEA7qE5Gf7276If0W3MypTIPGffe11/1srOPF9Axt2iScdV95JTltSqpXdwrhPXsCF1zgfY6XRl8NgaqjOmYHwU8D/8kn4epTMQ3Yw2q/1esgZxD13670NzJlNvb673j11XB9SSck0Jd1Hnwwdh9p7YkMpaTEXSBWI1noBHmkZ80SyyCCn+lFOn68UziSsZR14cpNU+xnZ1q3brDA126CZNR2rG6oJje6WYYbzz4rTGKeeSZYeb8QjCZTA6/vL/0oTOiCrKqJNAn0Tz4JPPCAe32XXOJ+TMc0MJHI71NaGitQydmhIPgJ9G4mNybcvrdJsDziCBE33ISMsuOGPksHAK+95n1OFJjSttSpI6IBReFI6kW1akDLlkLw/OEHEa3GT5g0zRq0aCGWNWrYviDS5EnOEPkNFHT8/l8TMVUy/cbOPjtcHWpce/n/qNfr9V/l1f905P6IFxLoyzomTzXTnBNBZAAlJcDBB4c/zy/dAue2aUoQ+0yTtru42Cn8yVj4arhG2VY8BNWwuzlwpQo1XJ1qBuEVgvE//xEDKjf7ey9ML3zTtWLMnLAG8H5h68Kyn0AfJV4DDcbctedh7NgLCsyhDCUmW30pFOkxzX/91VyHSRMfNKlWUOJxrg5LOoU3+f0GDBCRvwB/x8u+fWP3qdGApJmUjPsunxvT78Fr1sNvsNe5s/dxL0y/saB5AyTq714OdvV69e+ghizOtGg18UICfVnH9C8og9ISRIaxZ098YfFUIdOEfLEB7s6MKiZtXKdOzpeCfJlKjZjEJNAHEcJzc4ONBPT2Uo2b6ZB8gaoOl4lw660i+6XJmdjtBeyWBEt/PmSSm65dYwV6NQtwsgV6P9zs2718AkzooR1VpHmDqsFUw5aqfPONuQ49869XOyZMMcD9eOkl7yRsmczEibGD27BJ4+67z/y8e/1/yufINCBWnabdznMjEZHC9H/s93+uo/7nysg0Gzc6y6jOyL/8YkdVA7x/517O9pkGCfRlnRtuiN2XSPYKgkgiu3fH2qQHwUsDCThtcsNk1FRp2dIZtkyGi1QFQMA2lVAd1oJogIJqicJqr6LGzbRFJgXSnYTj5dFHhW2uaXDlda3UcHYSvY6WLcUyNzdWAFJNmtI93a5qz6OI/25CCj6qRl0Kl23aBK9HT7qjY4r3L5GzclIzHYQrrvB2Cs1k+vSJTV4X1mlezxMg8fpteGnoVYdtXSmhO9jqA4JHH3Vv0w+TQJ/IbIx8hqZPd+6XceiB2AzjXuZ6qQgCEBUk0Jd1TN4sq1envh8EEYDVq4ERI9yPy/TmOg89lJz+qJSWOsO9SY2jPj6W2lBpsw8EE9YXLw4wdUAA8L6euubTJGyogrKXw1/UZiMqQZxLVQ39lCn2fjUTajKIxwRhyBDv43KgtGSJe3tuJlPp4rTTkle3+tx5mQG63Ws3m34v/wQvDT1j9n518FhQ4MzC/NZb7v/D8WAaxLnNtAXBNNNw2WVAq1b29syZwevLplycJNCXdUxqnRdfTH0/CCIAjz5qa6Avuyz2uFtUDC/tn87++4fvFxDrqCejJejT0SZh6J9/xHKffcTSlKH2l1+qx9excojXFHm9es5tk0CkRpDx0nwH9ecIYkOsm68ceKD/OWo/VdcnUxx+nbBmCyrxOFhLO23ATmCkIr+/V+C1334L324yMU1wR4U603booe7lbrklXL1e985LQ68eV38TeqjVgQOjNftr3To2lGcipm4mk7+XXzY/k4D/75A09ETmYDJ+S6bagSASIDfX1p5MnCiWamxm+SJSQ9iFJd6Qdyed5NyWLzo9FKEJGQVkzRrxsowqpnUmISNTPPdc8tvyciBWX8CTJ5sFHFXzrU5Y9ujhLKeaQeyzj4g+YiKI4Hfllc7tdu38z1H7qSZcC6JB103X5EAniN15kARHbkmNAHP0nhdeEEtT3xct8m8vHUSVO8JE/foiqo6fk36UDpteGnoV9TchQ6UmEz3ZViIRu9x8pNyi3Jxzjnd9QcO0ZgIk0Jd1TOqnq69OfT8IIgA7dwpnN8DWaqsJPKQNu5eZxO23e7cR9AWpZgU0ISOAhA2nl5PjHwc/G5HCTzyRbMLiJZD07m2v6wK6RD4Dc+YAJ5xg7//6a2c5dXDw7bfuNt7xOM4NG+ZfRhXowziONmoUm7BH2rir0T3cMIWN1PGKy24yyZD+CKqwJgfta9b4txcPMhJVvHgNWqLguOO8tfNAtPkl/DT0kpUrg9UX1vTLazZMt2uPFzdTpCuuMO/3+y92CxOciZBAX9Yx/YISydNMEEnEZIqixr6WQr6XbbNbRkxJ0BekdJx0wzT55WX/rxI2znKmYYq1LrM1piIEnJfmVBXC3bR1blP6XlP9XlrDeEwEgjhnqwJ9EHt+6Sh5//3uZYJEeQpiZqAOhIJgss/OyxNLt+sXRpj68MPYfWETKOkkW6APgt9z4uW7cPrpzu2gGnppGuiHKaym1z3zSkRn+u+PEjfBPYzjd6ZDAn1ZR/6CH3pIpJ4DSKAnMpaffwZuu02s9+8vlqpGUb5A/OLOexF0Ojee5DeqA5WXY9dBBwmbaDVNxG23rXM/QcOUACeVqEm+pKApfQpmzEh++/o97N7dXu/ZU0yTX3ih+72OZ9ARpUB/8snBHmBTjHgv7rtPmEvo5j0qQfp6yCHB2guDHGSoAr10VHQzWdLzIqpmRzqqaV4UJNMhOgy5ucDmzc7Qu2qIS2nKZEL979y82V9DL4Vqv/j3at90+vRxbm/ebK97aeiDmHmFQfXpOOAApxJAHSQFsUAOG1I0XZBAX9aRv6C6dW0vKRLoiQxl7lw7ZJl0XlUFkMqVnS+2ZGZHPeUUb+3XjTd6n//GG97HGzd2ao0aNgyWKRaITfijh8BLNsuX2+u6/XM8YUcTRcaeBsTzsnChHWveRBiBXr7Mvfw2wgr0p58eTqDfsyeYBpMx/5wHft99xIjg18eUt9ANKZzLV9JBB9nmEVLY0s0l9N+fGnpQJ2oztuoZ5KNeu7ZTCFUH1JUrA8OHm89T/x/vustfQy/bCBoi1fScjBzp3K5WzZ7x8YpnL2f4okJ1jv/pJ+fMlDpYCzJjpTvaZyok0Jd11F+wac6TINKMPr0rH1n5slBfShs2OF8Kpj/jqEL65eQES5jjRr9+/mXUF2sitrLJdN4zodqM6zkAvLTDySKsnWsYAXz1ajGI9LrGYTX+s2cHu2FqlBsZjk8fzIXF77sHsZ+XhHFOlxpY+fpRn/ecHPHh3Pl6CnOfGDM745ZF9P+9664T0Vp0YVq9P++9Z772KqbMxG426aZ6jj02duCZm2vfR6+ZpihClqqOr926iezV118fm7tj8GB73ev7uZUJM5BNJSTQl3XUOTb561M19Lt2CVXj1Kmp7xtBIPaPXGqbTS+dTz91CvQms5aoBcoxY+I7L4iQp373Vavij9W2alXcp8aFapKhhlMEhOCQatT8AEEII4BXruxvxxxWQ9+oUbDZGFVDL4W4RKNu6H3VB5563P7CwmCOtEFxM/uQryXVzjrsDFxZdDY3oQv09eqJkL666dJNN9nrBQW2Y7Tb8y//W9X/WDXJlO5boZrTAHZyOZWcHFuQ99LQR/GMqZHIKlQApk1zRtCRWafls6aHy3RDn4VMJMpaMiGBvqyjauhlmAHVZmHUKPHEu4WDIIgksn17rEZQhoF0e+moL3zdtvG005yPdxQkMzOrWvczzxgCKAckqBNbVKgC7hNPOI+lKiqE2k7YNqN23A0r0B9xRDB1pCrQS2EskefbZBvtF12kalXv0KxhY5IvWyaWauI1FRlWM4wwLyMrJXpfk+E7ECXSDFG3U3dDH+BIUzk9E6xE3pv33zcf12Piy4hkfsj/eK/nKIpQvn7hY+XzId8hUUYQygRIoC/rqHNsMtWgmkpNhg0hiDQgs62acHs5v/22vS4FKfniuvnm6KMWBIlGEi/qCyWo1lZy/vn2evPmEXUoAq66KjXt/PqrmDpfvDj8uYkkromivjp1gvkxqQK9DHOpPv9+rF3rHDSaBJgg5lq6DbFqVqGf7+WiVVRkO7u7IcNzhnH1kjN16n9Gly7Bz5ecdVb4c1LJrFniuY/X7Kp1a7GUfkpuSP8TOYiU6CGB1RmAIIwb536sZUvh9Lx+ffD6VN8ZwH9AJ59/md2bBHoiuzDNb6ZanUcQLrhlfgXc/2xvvdVel1PP0nSlYsXE0oabOOqoYOXiySqp2mZefPG/7gUNjB4NXHwx8OqryZ1FCIrUHiZzAKTSurWIhR7PAC7dGvrq1YP5MYWNcqPTuLFT62yyUw4i1LRs6dSYqw6juvmHl1nFKaf4t+Ul9Lkhv4N6X72iv7gxdKiwvU7EdyaZ1KoFHH54/OcvWSKWfvdcaur12SD9PDlA0DFlawX8I9kcdJD7uSYeeih4WYA09ES2I2PJFRUB//d/Yn3AAPu429wbQaQAr0gSQYQuXZCqUCH6yDdB//T9tF4mVIG+X78Q3ohWe6+/njlZZ+VLMkjUiHQTtYY+7DNXtWqw/11VQx8vYQcvMhiajmprrw7adJt7rxkEk411FEiNqxq9JJ7IJHXqiIgoXtGtspXLLrPXg2bm9Xuu9d+RDB/rllwu6ngcYYR/wP4vlwPkZEZJSwdl7OsQMahx6KX0pKp7vGweCCLJeDmxBRGkf/3VuZ0Mgd4L1Z7fS0gMIuxXrpzdg2v5txK1sJwM0v0iD9q+GuUmXsLqbC6/3Lxf6oYA50BczmDJZzwdUY42bBDLmTPtfUFjqZd1pB5PDfnp9986aJBYzp3rXU5a8UqkNa/bYEoX6L2yDQchrOufHNzKfAaJ/K4yERLoywtbtpjfDu++m57+EASiDQUIpF5QU11QTIJQ+/Zieddd7nW8/jrwv/8BVapkl0Cvh3LLJg19kFB1iaJn6YyHKDT0X30VrryfjTvg1NDrIQm9soGGoWPH8OeoJkUk0AsWLhTL/Hx7n5vPzRVXiOVhh4mlNL1xQw6kJHKgN3KkiIgzdqzzuJxJkT4AYR2qdcL+3//wg1j+/bdY6rNLQchkhQUJ9OWF+vVjDTIXLEhffwgC3i/deOwbU50zTc4Q5Oaaw6798IMI4+iVhOrii9Oj1UwU3TQjmwT6VPDEE4ln9I1CoA/Lzz/7l/ES6HXiddhOdHCe6twMmcrkyWI5apS9r2VLc1npfzRzpvg9/+c/9rGzz44tr0/wy2fhqKOEQ+0FFziPz50rkmLJ3BWZLBy74WZOlAmQQF9eqFbN/vW8955w5z/wQGcZv/k1gogYL6E9Hg29n+ATNl65H1Ij6CY8NGggXmDZ+OIKS7YL9EE000E4+GChAWzbNjEHRsAs0Ceq1dTZbz/ndpBBsSrQq8mIdKfH338HZs821yG1wG64/Tc89ph//wDS0JuQ98rtv/Wtt8Ty7beBHTucx0zXUw+fqf7PuQ3IPvjAXD5RUuXg6hV6M92QQF9eqFrV/vUsXgx89FFsmVdfTW2fiHLJzp12MiIvJ6l4/qD9MvhdeGH4Or2QAky2CrGJoOYP4Dy7bOiB2PCaeki+eGEMaNZMrCcqZJgE+qACbVCaNhWzRBI126Ybqg09Y3Y/r77aWa5jR3eNpl9WV7drFyQDs9f55Rk1LY2JjRvtdf2/Wdf/AbGDy7C//SijTSXzP1h9rt2cxjMBEujLC1WrAq+95l1GGpgRRBJp1UpETl292n5pdO4cW+6nn+z1oBn9OnVyP7ZsWeJZNnWk4FYeBXqVkhIh1Ofmpt/hNChqOg4guqRCc+bY64kKlTJsoKotDROnOyjqq2H1av/y+oyUFOTeeCN4m0FjhusEFRpT4SeRjeTkBPuN6gL9zTfHltHj9ocV6KP4r5BKGjdn7iiQIXmBzH6usuSvl0iYqlW9g34D7qn7CCJCpHb+iSecec90Ro+214OaQ7jFRQYSSy2uay1lxAhpQ7puXfx1lwWks1s2DWx0m+9kaHQTrVNO76tO1cnQEKpCilvSIjW/gy7Q+8UXN+F3baZNM+/PlhmgTEHGapf/jUGfyS+/dG6bTG7cBnY6brNKMi5+IoweDXzxRXwzV0HyIgBOX4JMVlhkcNeISIk62w5BJMjTT9v2un5/kqqgKDWpTz7pLNOrl3cdiaRc+PJLYNMmYS60bZttQ3zddfHXme3cc4+9/s47YplNAn2TJslvQxWeTjhB+FR8+mn4etats6O+yMhJUbNzp4jj7nYPTz7ZXg/icKpqNU3oGvqggmbUScHKOvI+yIg1Qa/fRRf5l9EFeLdnp1078/4oZsWqVgVOOik+n4mgSekqVRIRgE44wVtplG5IoC8vVK3q9EYhiAxA1dDrFmFnnGGvqw500qRBt99Ux6xPPy2WqtYmkanSnBxhC1y5cuoyoWY66hS3TFqTTdpTrxwIUaEOVMeOFWH+4g1n+ccfYpmI1v/EE92PVa7snehN9TkIotn00yHpg/igCdK8njEZUeeAA4LVVR7QZw+jHBDp/6lu98btmVUTgaWDMO+EUaOEYodMboj0U7VqalRSBBECVaDXhQk15BljwL77Oo/rIQHV6BxDhwqNvGoKEOVUaZDQfmWd+vVj92WTQJ8qLrxQOHKGzWoJALfcErsvEYF+3Lj4z+3QwV4PEkbzvPO8j+uC0R13BOuH6RmTJnCzZgHPPku/T5VNm5zb0i/DhP4f64d+D93+Y92eWS+fp2Tw0kvO7UwOQRkPJNCXF6pVo7lKIuOQbh1r1sS+qLt0cW6bXuTPPGOvm8Ltqc6EFJc6Wkwa2Ey2L00Xb74JfPhhfOea/rLD/o2/+KJYTpjgnsEzCKrwpoe6NHH++d7HBw92bnvNDqiY/gekqUf9+sLeuW7dYHWVB8LMRO3cmVhbbiFP3QT6VGdq1f1PylpoU/r7LS9UrUoCPZF21qxxbktno8WLY8vqGs3ly53bjIm05r17i2019J4kHmc9In7Kc6hAGdpu4sTo6jQNkMJe46uuEr+DU0+Nri9BBsd+rxvdxj6o/4WpXj97/fKMmiHWj6FDE2srrA+NdKZPFbr9u+oXUhYggb68UKUKzYcTaUef/lVRX8pVqvhr7Bo0EMuJE4VdvUkj2LRp+D4S4ZFRiMqzhv6//xVmXnqynaiJZ9AUxeyU6jvSqJF/eS9b43btYgVz/fUUxnwjqP19eeT334OXdctYfeihwc53Mytz09zXrBms3qjQE735JTfLNsrx3285gzT0RAYgQ1aaOPhgez2ILad8eVSqJM41CRDJighCCGQsd3nt9VTw2UKmmmiYIjOlaxakenXhtzJ9erDyXhln58+P/b3q2t2BA93Pv/56IXw+9phwnvdy9i3v6KZNXrg9W99/735Ofj5w9NHAlCnuZdxEj1QrANRnLplx69MFSXjlhaACfXFxdsWeI7KKxx/3Pt6zp3gx9O0bTXu9e4vkTyecEE19hBNpgzphQnr7ES+7dwOTJwePR50JpFMv4xaj3oRbFug33jALcrqGvrjYve6nnrLXTY7DhM2VVzrjqHvhJtDXru1+Trt2wNSp3vVmouljWZy9JQ19ecFLoH/0UXtdz7ZCEBEyebL38Y8+At57D3jwQf+6ggjp1asDq1b5J0km4kMK9PpUdrZQoYKwLc9UU6FFi2L3ZaKfgp4TAnB3xnSLb65r7N99N7E+EYJMsLQNY8efKk46Kd09iJ4M/RsjIsdLoFdDFnjNkxJEkqlTBzj33GA2v23bBqszU4W1soCczPvhh/T2o6xiSh2SiQL9jTfG7lM1oKmI+U8Ew8s8KVmRwBJJ6hc1X38tspR365bunkQPverKC1WquAv0Rx5pr3MuPBfvvDOavMwEUQ7IBC1YOjBpkInkkokCvY6eo6A8Z1TONLyEdlMYx9tuS7zNAQMSryMqjj8euOmmdPciOWSsQM8Yy2WMPc4Y28AY28YYG88Ya+BR/mTG2DzGWBFj7E/G2Inacc4YK2SMbVc+tZXj1RhjrzLGNjHGNjPGXmGM+eS6yyKOP95d6lD/fUtKRJyzhx8W6fZuvz01/SPKBUFTbWcbL7yQ7h6kh//9L909IDKR1193bvfsGb6OM8+MoCMEAGdwgLA+GFEEFgibsIqIj4wV6AHcDqAvgC4A5OPwpqkgY6w1gA8BPAygtrX8iDHWUit6Iue8hvLZohx7BkCe9WkLoD2AkRF9l/Qhf71eGnp1WF5SIoyYJap9PUEkyCWXmPcHzRKZqQQN61bWKK8zE6nirbdi92W6CdnVV8fGvD/pJOCyy4RDbFCyNWJSJqJGcQor0HuFGk6ETz5JTr3lmUz+a7gCwKOc82WW4H0rgJMNQjoAXAzgN875W5zzYs75WACzrP2+WJr4CwHczTlfxzlfD+BuABczxjI/v6SbI2thoZ2KLTfX/ZespnzMRHd0Im3ceitwwQXR2UC6uWiMGBFN/enCKwpEWaasxXHONC64QIRmVMn0dPUnnxzr4JqTA7z0krtDrIk//oi0W+UadRDoJ9DrA6lkPW9nnJGcesszGSnQW6YwzQH8JvdxzpcC2ArgEMMph6plLWZZ+1XeZ4wVMMZ+ZoydpexvB6CKVscsAFUhtPWZy7PPCs+0e++NPfbqq/Z6To73L1lm8TENDshRttzy+OPAuHEiUkwUpDrVd7Lo0cO5XV4F+nPPTXcPyjaMxYZlzHQNvRpjIRHUvBREYlx7rb3uJ9A30Aybe/WKvj+JZqQlzGRqHPpa1nKLtn+zckylpkvZg5Tt3gCmWet9AYxljPXjnH9hna+3J9dj2mOMXQExg4BmzZohP00xmQoKCuxfxv33I1/zPKm3YgVkQr/8hQuB3buRZ6gnPz8frRo2ROUdO7BswQK01o/Pm0dz62mkoKAgLc/Y3LlVALQEAHz99Sp0716YcJ3r1jUAEOsKE+z7OZ/edP3uAGDt2pYQOgDB338vwubNiQ1803WfE6FXLwahD7HJtu+QDsLfa/vZX7gwM6/v++9XwfLllVC16tYEwhTa3/O555YgPz+7NQCZ8puuXbsSYL3Zt2/fjPx8jwx/AFq3boVly4Qp7tKlS1BYGMV9sO9taekG5OdvjKDOzCBT7nOmCvTbrKWu96oDoaU3lfcsyzn/Rjn2LmOsN4CBAL7Q2tustR3THud8NIDRANC5c2eel2cSk5OP/gDF9EMZiufl5Zk17ccdJ45Z82ytC2OFtrw2bZxmOURKyc/Pj723KUB1hqpfvzmi6MK//8buu+kmw7NrYOxYZ/bIdP3ugNjoLoce2jbhMW+67nMimJIHZdt3SAeJ3OtMvb52t6LJ2HPssdnvQZ8pv2n1v6lOnTrIy6vjWX7ePPuVf8ABbSJ3am3RoiHy8hpGW2kayZT7nJGTd5zzzQBWAdhroWk5vtYCMMdwymy1rEUna78bpQCkpd9CADu1OjoBKAKQvYHZ9LlZ01xtv37ObVPYCreUf0S5oV+/aOzoGzWK3Xf33cHOVc1cwtjipoJ0Zu9MJ9kQQpEgyjvq73SLbstgQA1tqYcgjZelS4GjjgKOPlpkryWiJ5NfQ6MB3MYY+w7ARgCPApjMOV9hKDsGwC2MsQEAPgBwDoDDAVwEAIyxDgCqAfgDAAdwKoBBAM4HAM55EWPsLQD3M8b+tOq8H8AYzvnOpHy7VOCXlhOIDTxrkkzKiuEzkRCTJwuHt0QwhXcMKgzvuy8wa5aYaMq0zKS6E2B5hTLyJof27YEFC9Ldi9RRy2RYS8SNKtDP9lJzKqxfD+zcGd3kfOvWwLRp/uWI+MlIDb3FIwA+AzATwGoAuRCRaMAYG8gY2y4LWg6zZwEYBmEiMwxAP0X4bwjgNQCbAKy3jg/mnH+qtDcUQhsvPwsB3JCk75YaZs3yL7Nrl3N7yJDYMiTQE4iNtuFFSYkwr9m0yX+CJ4x2u1OnzBDm44mrXR4YNCjdPSibZLojbNSU1xmvVBA0X2TDhtE5OBOpIWP/JjjnJZzzmznnDTjnNTnnZ3HOC6xjYznnNbTyX3DOD+KcV7WWXyrHvrP2Veec1+Wcd+acv6OdX8g5H8w5r2N9hnDOszuGo2lofdZZzu233xbL004Ty9WrY89Zty7afhFZyXffBS973HFiqrZePfFy3rXL3WQnG4WVhx9Odw8yEzLBSQ7LlqW7B6mFBPpoIavZ8kEWvkqJwNx6q1g2b27vGz9eGLFJfrMidco38VqD9/uUKUnpHlF2mTrVuX3zzcDnn5vLZqNAL6O8EkQqKG/pQWhgGC0tWqS7B0QqyMJXKREYaYh49tnO/Z062evSM1v+g5qG8s2aRd83Iut4/vn4zx0zRjhFmchGgf7AA+31kdmfT5ogMgrySYkWup7lA5rYKstI23d9/nLECOC558S6lEykQP/yy7H1NG6cnP4RGcnnn4uwZTo1asTuC0purrlOIDtfNrm5wMaNwIwZIq09QRDREVVmaoIoT2ShbowIjJtAr0pm0otNCvSmmFY//RR934iMpU+f2OyUgDmJsAmTecCmTcLJqixRr564VmQeQBDRcM45YplpYWkJIhsggT6LydlqyrGl4CbQq1SrJpa//OJehgT6csG0abZvtImgAr2bD7UeGWbuXGDhwmB1EpmPaoZEEPEwZgzw1VfAAw+kuydll/vvT3cPiGRBJjdZzL7XXONdwEugv/VWYPp04JhjxLZXGAU1PSdRpnjnHWDAAGDSJKFt9mLNmmB1utnEqwOCv/8m14yywhlnAJ9+Clx8cbp7QmQ7VasCvXunuxdlk8WLgQkTgKuvTndPiGRBGvosppqMUOOGl0D/6KPADz8Eiw9GBo1llgEDxNJPmAeABx8MVqebTXxxsViefjoJ82WJd98FfvwRuOmmdPek7HLssenuAZHttGkDXH99bC5JouxAAn1ZRqpEEw3qS0FsCYsgY7vSUvN+KdBXqhRdf4j0U6UK0L07+RIkkzZt0t0DgiAyHRLoyzJBbOiDQAI9YXHuuf5l3BILy7CX48dH1x+CKA889hhw1VXAr7+muycEQWQqZENflolKoHeT0Ihyh58wvmWL+/jv+++j7w9BlAfq1QNefDHdvSAIIpMhDX1ZYscO53ZUAv327YmdT5QLbr4ZqFPHnBGWbOYJgiAIInmQQF+WeOwx53ZUAr1fNB2CAPDkk2J5/fWxxwoLU9oVgiAIgihXkEBflrj/fhFC5LvvxLYU6CtWTF+fCALAfvuluwcEQRAEUXYhgT6L2WUKfTBhAtCrl4gxL6PcxBN+YvDgxDpHpJy33xYhI998M1j5oNFIW7XyL+MW2WbuXLGcMydYWwRBEARBhIcE+iymtEoV94MzZwIrV4r1IHECdbOal1+Ov2NEWpD5v4KmTXcTwnWeeca/jJtVlsnUpkOHYO0SBEEQBBEMEuizGO4l0I8aJbK9AMDEif6VjRzp3HbLDkSUGYJGIz31VP8yo0aZ91erFruvTp1g7RIEQRAEEQwS6LMZL6F7/nx7/a+//Oui9HFlEi+hPWg00pwE/iVq147dRwI9QRAEQUQLCfTZjJfNxMkn2+vDhgWr77LLEusPEQmPPw7cfnvw8kuXCpcJlX/+EaY3tWsDmzebzwuioe/Y0b+Mly1+jRqx+0igJwiCIIhoocRSWQzzUrFK+3lAZCUJQn6+c/uAA4DFi8N3jIgbzoFbbxXr//mPd/x2zsXtadcu9ljTpvb6Z58BgwbFlgmioe/Vy7+MtOwyUb167D4S6AmCIAgiWkhDn814aegXLLDX9YRTbuiSmUkaI5KKektlhBg3cnLMwrzOb78Bv/wCXH21yOQqCaKhNwVI0h+7m24Kd75Ja08QBEEQRPyQQJ/FVPWT+CTFxcHKHX+8c3v48HAdIhJGFbKDhpX0Y/t2oEsX4H//A+6+294fRENvsp+X0VAlM2eGO5809ARBEAQRLSTQZzE7DzggWMG2bYOVO/NM53aTJqH6QySOOrESlUD/5Zf2+ooV9nq8Gnq1Dj9MftsHHhj8fIIgCIIg/CGBPoth0vbBL/PPzp3BKrz0UmE0LWMQqurVoCFRiIRQAxJ5uT6EEfbVOj/7zF7XBfqffgLuuce57/nnY+sL6pIh0cNeHnZYuPMJgiAIgvCGBPpsRkp1Q4Z4lwsacLx6deCbb4ArrhDbFRSf6ajUxYQn6rjJKx9YFOMrPZrp/vsDt93m3Ld1a/xty/GgnqOMHiWCIAiCiBYS6LOYnKIiseInsAfxnDQ2oDweZUgK27gRGDoUWLMmNe3Nnx9cCFbt092SNQGJCfTyVvbrZ+/75hugUSORCMqkgX/3XXs96PhQttO4sXO/Vz40giAIgiDCQwJ9FlPxn3/Eihq6RKdNm/izvpZRgb5hQ+DZZ71DQkbFCy8ABx0EVKwYrHzr1vb66NHu5XTH1DCcfrpYbthg71PDU5pcM/r3t9effDJYO40aiaX++DVoEOx8giAIgiCCQQJ9WWDhQvdjJq/GoKjneoXIzDJSOTa57rpw5YP2LREN/cSJ3scHD/Y+/vTTzu2DDzaX0zXzBEEQBEEkBxLoywIXXOB+LCqBvgxp6DOZbduClYvChr5rV/P+unX9z33lFXtdNd25+mp7/bXX4usXQRAEQRDhIIG+LOBlIz9/fvz1qiY3ZUhDn8kEycwKiNjyiTJjhnl/v35A5cpifd06c5nLLrPX779fLG+6CZg1y95vimZD5jYEQRAEET0V/IsQGc9BByWnXhLo047bxMiIEdG1se++zu0KFYJHOlV58kmgVi3vMm+8Eb5egiAIgiC8IQ19FsOlwF0hSeMyVdKjOPRpwW0cpZq8JIqbFj4eTGEuVUhDTxAEQRDRQwJ9tlJaaieWSsRO3otKlYAaNcQ6CfRpIWiIyERIJGJOWHLoH4cgCIIgIoder9mKlPQqVIiNC3jccfa6nqYzLCTQp5VVq5JTb7osqCjyDUEQBEFEDwn02YpUq5rMbdR9ido4rF3rbK+MEYVzaTK5887k1Pv779HXWa2a+7Hp04GPPgL22y/6dgmCIAiivEMCfbYiNeamjEWqQB80o5EfkyZFU0+GceON6e6BN++/b96faFKsH38Mf84llzi3dYfdu+8WVlomunYFzjwzfJsEQRAEQfhDAn22IgV6Pw19VA6ziYS/TJANG4C77gIKCqKve8qU6OuULF/u3P700+jqbtHC+/jYsd7Hr7/eXp85M1ibelx53b6/Tx/gnXeC1UUQBEEQRHRQ2MpsJdUCfTxxDCOiUSOxHDEi8fxWuu34hg2J1efFvHnO7b59o8nPNXs28NNP3mWqVAleX+fO8fWjpMT5eHXoABxyCLBoEdC8eXx1EgRBEAQRHtLQZyteNvR//GGvR2Vys2tXNPWkmZUrndubNyevrWQk1y0sBDp29C+3bl1sYieptQ+SCTYIe/Y4B0gygs0BB9iJqQiCIAiCSD4k0Gcrug39ueeK5eDBTluPqDT0DRtGU0+K0YVq3QwmkzANALp2dW7rcd779AEGDIg9b+VK4KKLnPtOO00sE/FvVk11Fi92BlsiCIIgCCI9ZKxAzxjLZYw9zhjbwBjbxhgbzxhzDdnCGDuZMTaPMVbEGPuTMXaicqwtY+wDxthqq655jLHLtPOnMMZ2Mca2K5/TkvkdE0I3uXntNRFG5PnnneWikrT8jLKTQGlpYlE3n3pKOI/+9Ze97++/E+9XUMJq6IuLY/cdc4xz++23Y8/R9wHi2u2/v3OffBQSiezz1FP2+oQJ9mNIUU0JgiAIIn1krEAP4HYAfQF0ASBTlr5pKsgYaw3gQwAPA6htLT9ijLW0itQF8B2AIwDUAnAlgCcYY2dpVT3AOa+hfCZE+H2iRTe5qV5dhBGpWtVZLiqTmyjTiQbkvPMSC65z443AP/8ADz1k7/vzz9hyQ4cKQf/EE4F77hE26lGg3wo/VM35bbeJpSrkL1sG3HST8xzZ148+At54w95fp07sWC5qLfqXXyYn/CVBEARBEOHIZIH+CgCPcs6Xcc63ALgVwMmKkK5yMYDfOOdvcc6LOedjAcyy9oNz/jPn/AXO+Rou+BHAVwCOTc1XSQJeTrEqUUpxKc5G9MEH0dSjasq7d489/uyzwAUXAF99BTzwgLBR181V4sEvgW9RkdMESAr0tWvbYSlVIV/XuAO2U++ZZzr7XL16bNmoBfqpU4FRo6KtkyAIgiCI8GSkQM8Yqw2gOYDf5D7O+VIAWwEcYjjlULWsxSxrv6n+agC6AZijHbqeMfavZZJzB2MsIvV2EvCKQ6/iJ1WG4b33oqsrhagCvVueralTndtvGueCwuFnq16tGtC6NTBypLN8xYr2bY3X3r1OHWDhQue+nCT82hONh08QBEEQROJkqitbLWu5Rdu/WTmmUtOl7EF6QcZYLoTpznIAY5RDdwDIhxg0HAFgrNXWHYY6roCYQUCzZs2Qn5/v9V2SQpUlS9ASQNGePViptd+qZUtUXrECALDtu++w+izdsig4ecp60cMPY2WQECuRkRezJ9y1Fuf/++9m5OeLjLdLl1YF4BPE3WLmzEWoWTP+WYlly6oDcKZGdfZf9O+mm4A+ffIxb15lAK1QUAAUFPwDYB8UFGxGQUGBdV7s9TjllK3Iz1+zd/u552pgypQaOOywtfjuu5oAbInbrY7wz6+oo2JFjlq1/gHQNM56CBX7PhNlHbrX5QO6z+WDTLnPmSrQb7OWtbX9dSAEblN537KWxn0sgH0AnMI536v/5JxPV4rOYIzdA+ARGAR6zvloAKMBoHPnzjwvL1ZISjqbNgEAqtaogZj2a9ljnppffx17PE6qzp3rrItzYeSdwhiF8XyXXbvqIC+vDgBg9erg5+2zT1vsu69/OTcWLIjd59b/vLw8tG9vbzdvvg8AoFq1OmjQoAGqVTOf16lTLeTl2fc7Lw+47joAqINt25xlvdqOh6ZNGQ45RAjzFSvGXw8hyM/Pp2tYTqB7XT6g+1w+yJT7nJEmN5zzzQBWAdgbSdtyfK2FWDMZAJitlrXoZO2X51cB8BGARgBOtOzyvSgFwML2PWV4mdxEFWhcp00b5/a554oMRv/8k5TmEphYcLDGVmAnFLIxLIm0VamSs44LLjCXM0XGkQQxsdlnn3D9AuzwlytXAo8+KtaPPz58PQRBEARBRENGCvQWowHcxhhrxRirBeBRAJM55ysMZccA6MwYG8AYq8gYGwDgcABvAABjrAaAzwFUgtDMOwL3McbqMMZOY4zVYIJOAO4D8G6yvlzCeDnF1tYnKyJi8WLn9vjxYnn++UlprmXLaOpRtfLSrtzkHBs1iYRy1G3op00zl6tZ072OAw7wb6eWyYDNh6ZN7fUffhBLOQAhCIIgCCL1ZLJA/wiAzwDMBLAaQC6ACwGAMTaQMbZXKLccZs8CMAzCzGYYgH6K8H82gJ4AjgawQYkz/z/reEXrnNXW+e8CeBsGc5uMwStTbCqi0RQV2es//ABYNvuZiBrxRSZGchOQVRKNrS5vEVPmeT77LNi5QZ1iBw92P1a/voh+40W1asH6o2J65JYtC18PQRAEQRDRkLECPee8hHN+M+e8Aee8Juf8LM55gXVsLOe8hlb+C875QZzzqtbyS+XYG5xzxjmvpsWZv8o6voFz3pVzXttqqy3nfDjn3MOgIc14aeiXLImunf0Up041JWn//s5yMn5iEgkTdnHXLnv9jDPiay9R8xx5vupHHLQvQQV6Pxv/l18GevYE3nlHbF9xhfP4CScE64+K6T6Y4vsTBEEQBJEaMlagJ3zwsqFXjc+7dEmsnY8/ttcbN7bXJ2g5t8KmRY2DOnWCl33mGXs93sidiQr0JSViaUowpV6uQw4BfvzReTzRsJWS+vWB774TSboA4OCDncfjMT0ibTxBEARBZBYk0GcrXhp6NcOQKpDHQ9u29roeNkVl+3b3Y3GijxEKCoKf+8sv9vqTTwI7doRvP1GTG3m+SaDforhkz5kDHHOM83hUAr3OKac4t08/PXwd+liOIAiCIIj0QgJ9tuJlQ696OjZpklg76gzAK6+4l6tRw/1YnDz1VOw+1XTfC+mvK+nZM7aMn2CaqDD9ySdi+fffsce8xj/9+ydPoK9SxbnNMjeOE0EQBEEQASGBPlvxMrmpX18so8gSG9Rw3aSGTgLxmur/+mvsvlNP9T7HT5guKQHuvx+YPt18/KuvxFLP2AqIkI9uPPNM8gT6ZGSLJQiCIAgivdDrPVvxMrmpVEnYdGw15eAKiToo8ApPKQ3Gk4x07kwU1SrJDT9h+q23gHvvBY46Knz7auhHnbp1kyfQp+g2EQRBEASRQkigz1a8TG4AYXYTT0xCL7zMd1IRKhPAbbfFf64aj/6RR/zL+wnT8UTq7NNHLFUbf51KlWIF+iOPDN+WiUaN7PVUxOInCIIgCCL5kECfrXhp6KNGSr9eQnsKVb8yO+q0acCUKcHPW7/eXpcJmR5/3L28+pX8HGS9bPvbt7fX51h5jr0mOxizBfoFC9zLmXwM/FATQJG2niAIgiDKBiTQZyteNvRRIzMzeUm1SQh9cvzx5v2TJ4sIOEcfDRx3HLBzZ7D6VGFWrm/a5F5eft033hCX+dNP3ct26wbMmAFcd52wdHr7bfuY6pBrcpA1sXy5vb57d2yEn0suAYYODVaXGzNmJHa+SvPm0dVFEARBEEQ4SKDPVlKpoZeeqGPHupe5/35vdXIAXnsNOOww4N9/xXblyuZyu3cDN99sb3tF01RRI7rIcVC3bu7lpQb7kkvE8tJLncdVF4XZs0VdL7wgBhkDB9rH9MgyQZAzCACwezeLMe856qjMilBz4YXp7gFBEARBlF9IoM9W/Gzoo+T++8VSDZ5u4sADE2pm8GDg99+BYcPEtptJSE4OMHKkvS1jzG/YAMyd617/ww/b61IYlgGBTOjt//uv8xKofVCZNcu5rQv0QXJwqZeypITFWDsdcIB/HW5MnQp06gRs3Bjf+ddfH7svBXnFCIIgCIJwIQXSIJEUUmlyk2K++EIs3Sx89NCLUkMvHT5nzjSft3Zt7D4vtwBT+wcfDKxa5X6OiX33BS64wDbD8ZrokKja9z177I0XXxT+zqa4+kE5+ujYQUcYDjssdl+KfKIJgiAIgjBAGvpsJZUmN1JlniKk/fhvv4nlf//rPK7bvevROY84wlxvw4ax+8L6+f71l3t5N844w+kPMGiQ/znqoEWNtnPiiWJwkE5M2WVJoCcIgiCI9EECfbaSSpObo48WyxNOSFoTqjb8hBOENn3zZrF90EHOsnff7dzeuhX44Qfv+mvUiHUsBbxNRR56CKhd27teNw45xF6vXx/o1y/c+aoN/dKltjNBixbx9SdK6tQBfvrJue/MM9PRE4IgCIIgABLos5dUauhlcilVDduyZehqnnwS+P5787Eff7TXf/jBadaiJ7zVteRbtrgL9HIMsn27nblVRdcsn3eeLYzPmRN/bi4ZnhIQ2vZELKOWLBECPWPRJP+NAt2ZOJ7kWgRBEARBRAMJ9NlKKm3opf2HGmzdLzC7xuefi8g0brbfu3Y519Vxim4zr7Nli7ugW6+e97m6Wc24ccDKld7nxEMit+ngg4sSriMZjB4tllFl7yUIgiAIIj5IoM9WUqmhlxmZVDsLvzSqGu+9Z6+PGhV7XI+4IkPfA7FmMXXqOLe3bHEfX/glT2rVyl7ftElowf2C+cRDPLepQwex3L5djFYyRTsvufxycW/OOy/dPSEIgiCI8g0J9NlKKm3op06N3ecmQbsEhX/9dXvdlOFUdxRVtdFLljgHBFde6Sy7dSuwZo25O37a/dathRnQ0qX2QEGvX0cOEqpW9S4nqVzZWxjX49tLFi4US3mrvbLREgRBEARRfiGBPltJpcmNquZ+/32xlFLmoYc6y9aq5VudFFRVdFt2dQJg8WJnhJpHH3WW3brVXbj2Shwl6dFDCPaSBg28y99xR2wfE+HEE837Zf0PPNAkmoYIgiAIgiiTkECfraTS5GbdOnu9f39hZyG9RWXw94j58kt7/bjjgKZN3ctu3Qo0cZF548mm6jdGevxxcQlCuhG4omeB1fnnnwwznicIgiAIIqMggT5bSaXJTffuzm3VqP3pp0NXd/75/mX23ddeb9IEaNvWveyWLbGhLBMhyCX1s82X9O3rX8bNXIggCIIgCCIIJNBnK6nU0OuZhFT7mLy8mOIffyzMUtxivEshd/Vq96yrZ51lr/tFqvn4Y/f47F4DATeCWDGpUXm8+L//8y8T1BafIAiCIAjCBAn02Uoqbeh1qVgV6HNyYjI29esHPPII8O235urk6fvuKwRxv1jvbuY0Kv/5j3n/ySf7n6sTxDY+qEDfpo297jaLUKWKef9ttwVrgyAIgiCI8g0J9NlKKjX0uiF6cbFzu35942lqsigV3VxFxjNPBFMgHsBsQ3/ZZd51jRvn315hoX8ZAGje3F5v1sxcxm1MlopbSxAEQRBE9uMpMjDGLgpaEed8TOLdIQKTSht6nYDSrC73S/bscWZ2nTAhWLO33CIcUk3I4DtBeOih4GXdiCf2uil05ahR7qE1tYkPgiAIgiAII37S4AvadiUAFQFIm4scALsB7AJAAn0qSaXJjU7ADEduGulx44CvvrK3v/8+WLOdOgUrp3PcccB339nbfmEp/WLXA84cW2r9Y8cCAweazzGNvXr2dI/0aUrARRAEQRAEoeMpunDOa8oPgPMBzAFwDIAq1ucYAH8AuCDJ/SR0UmlyoyNtZlTJ+IwzYootW2avq4FyVGHeD9VkJd5MqWo/AH+BXSbGDYpMlFWlincEH1O7bds6fQSimD0gCIIgCKJ8EcaG/gkA/8c5n8Y532N9pgG4HsCTSekd4U46TW6kQK+2PXRoTLEnlaciaJhHHTUKTliBfto0sZSJoIKiJ7ny49BDRSz5TZu8BwtBzIJ69w7XNkEQBEEQRBiBviWAHYb9hQCaG/YTySSdGnrZtiphH310TLFe+EZ4pa5cGUkSpjACfbt2wFFHiXW5DErLluHKAyJaj4xWc8IJ5jKLFvnXU6dO+LYJgiAIgijfhBHofwbwLGNsr2W0tf4UgBlRd4zwIZ029FLdrkrY1nop7LAy38BSN7dsmXKBfuFCe71x43DtvPuufxk5ITFgQPB6jznG/dikScALLzgjhMYTcpMgCIIgiPJHGIH+MgD1AaxgjK1gjK0AsAJAIwCXR981wpNUa+jV2JImgd6yNckBBxCbUapkj0uWqRCE+aqqVj6sqU6rVv5lZJ2HHx57zK2fXv0/5RTgmmuc+w45xLk9d65/vwiCIAiCKH+EEejXADgMwKkARkJo5vsAOJhzviQJfSO8SLUN/eXKmO3++8VSlZQZ2yvU5yLWYL7uzn8S7oIumJ96qntZ1XTFFIs+EZo0MVsdSUaOBFq3FhFvVMJo8wHgtNOc2x06hDufIAiCIIjyQSBpkDGWC2ALgEM5518C+DKpvSL8SafJzRgrQqkuzebmAqWlyEUJSrRHK69wFn5A04Sa1ZvzMqVRnXB5HJMDtWq5Z7BduxZ49llznwAgLw9YujR2f7164fpwzDEiZ9fGjeHOIwiCIAiifBFIQ885LwGwEiIOPZEJ/PmnWKYznajetjVrUBm7Yor+vSZxNbkuPHtFo1Ft9mvUCN/W77+LRFaS008XgrrkXLyHPCwIdfnjuVWffhr+HIIgCIIgyhdhTG4eAPAIY8wnLQ+RUv7+O31tz5tn3D0Hh8TsW49GcTXRurW9rprO3Hijt0A/eLC9XrlyfO0+9pgIffnRR8AnnwAzZ4pjx2IK3sN5WIADQ9nnxyPQxxt7nyAIgiCI8kMYEeNmAK0ArGaM/Q0thCXnPFaKI5LPrlhteLppiZUx+0pDjR1tWrSw13/5xV5/8klg2DD38046Ka7mYlCda6V10+H4be++ZGvo3bLIEgRBEARBSMKIGB8krRdEKL76Ctgb6vyII9LZlcCYHGWDoGrau3RxHrvjDvfMqvXrx9WcJ1KgvwMP792XiIb+xBP9z2nfHrjuug3o2rVh8IYIgiAIgihXBBboOefDk9kRIjj//ANsRD3Ux79ZY5NRAd6B6Js3B1aujI1Is3q1vb54sfNY9erAE08AN99s73vlFeD442Prz8sD8vNjBwVhkFlgG8D2Ug1z+YuKnNvjxwc779prNyIvjwR6giAIgiDMxGcHQaSVnBxF450lAv0hmON5vLjYvL9uXXv9H0Pky0GDnNuDBzvNdCSTJolkUEGF6KBMmhS8bI72a4vHWZcgCIIgCEInsEDPGKvEGBvOGFvEGNvJGCtRP8nsJOEkGwT6+3CvY7s+vGMvrl1r3n/eefb6ZZfFHm8U0Ne2VSvg6aeBZs18i4Zi2bLgZcNmrCUIgiAIgghC2Cg3FwN4EkApgFsAvABgI4BrPM4jImbPnswX6O/F/Y5tU+QbU6z21auBc84RAXT++QeoXds+1qSJCOqzfXvUvQ3HJJyyd/3334OfV0kJ+qo6+BIEQRAEQSRCGIG+P4CrOOejAJQA+IRz/n8A7oXioxkVjLFcxtjjjLENjLFtjLHxXiEzGWMnM8bmMcaKGGN/MsZO1I63YYx9zRjbwRj7mzF2k3a8GmPsVcbYJsbYZsbYK4yxqlF/ryjYufgvVINlkJ2hAr3OoZgNwJnhSQ1JKWnaFHj/feDAA4UAr9OsmbCdTyebYNsBuZkKmahcGfjf/4BRo7LGl5kgCIIgiCwgjEDfGMB8a307gDrW+hcAAsTrCM3tAPoC6AJgX2vfm6aCjLHWAD4E8DCA2tbyI8ZYS+t4LoDPACwA0BDAGQBuY4wpBh14BkCe9WkLoD2AkZF+o4jo+N1T9kaWCPQP4m68h/746ivg7ruBnTvF/pPwBdajISoihGSsMTyF7ton43MMxNt7t+tgU6jzr7wSuOKKqHtFEARBEER5JoxAvwpAU2t9CQAZ6bsbgCLjGYlxBYBHOefLOOdbANwK4GQppGtcDOA3zvlbnPNizvlYALOs/QDQA0ALAHdwzgs557MAjAJwFQBYmvgLAdzNOV/HOV8P4G4AFzPGqiThuyVEca4ycZBKgf6RRxI6/Vx8gN69gfvvt5M9fYFT0BAFKEYc2Z8shg0DJk8GCgoS6l4gPkcfx/aTNe5LfqMEQRAEQRAehIlD/xGA4wHMgNBmj2OMXQ6gGYDHo+wUY6w2gOaAncGHc76UMbYVwCEAVminHKqWtZhl7ZfHF3HOt2vHr7XW2wGootUxC0BVCG29I0QLY+wKiAEHmjVrhvz8/BDfLnG2FNkhIPMXLUpdw337Iu/22x271O/+eeVbcMMu70dBv1Z5HsfC0Lw5sGGD+CSTPG37yJIfk37/CwoKUv6MEamH7nP5ge51+YDuc/kgU+5zmDj0dyjrHzDG/gLQHUJQnhBxv2R+zC3a/s3KMZWaLmUP8jleSzmutyfXY9rjnI8GMBoAOnfuzPPydDEvuaysYnepbdu8mHCIyYIx3QoeUL97+12P4QafsZ3XtYr7Ou7YAZx1llDVH3NMfHXESfviuchN8v3Pz8+P/9oQWQPd5/ID3evyAd3n8kGm3Oe4RUHO+c+c85FJEOYBYJu1rK3trwNgq0t5r7JBjuvtyXVTe2mlYvWKe9dLsi1g6EMPiZHBrFnR1dm9O/Dll0CPHtHVGZDckt0pb5MgCIIgCEIlTBz6RYyxUYyxAYyxfZLZKc75Zgib/cOU9ltDaMtNGYpmq2UtOln75fG2jLHqLscXAtip1dEJwjcghTYtweje045/mE6B/kd0j9m3Cvt5nzRsmFgefnh0HZk9279MplC3bmw6XIIgCIIgiAQIo6F/HEB1AI8B+JsxtjDJAv5oiEg0rRhjtQA8CmAy53yFoewYAJ2tvlRkjA0AcDiAN6zjPwBYCWAEY6wqY6wjgCshHGPBOS8C8BaA+xljjRhjjQDcD2AM53xnEr5bQlTez86mtGePR8EkswyxcSd3o6KhpAsvvhi776uvhMB7++3ABx/EHn/7bWDmzBC9TDJhMlUVFgKbN4v1u+5KSncIgiAIgih/BBboOecvcc4v5JzvB+FE+jiE2cobAP5KQt8egQg1ORPAagC5EJFowBgbyBjb6+DKOV8K4CwAwyBMZIYB6CeFf855CYDTAXSASIQ1CcDjnPN3lPaGQmjj5WchgBuS8L0ShwtL9rcxIK0a+hnoGrMvlEB/jSEf2YlWBNRHHwXOPRdYudI+NncuMHAgcOSRIXuaRMII9OrNGjEi+r4QBEEQBFEuCWVDzxjLYYx1AXA2gHMBnAohbBvjwycC57yEc34z57wB57wm5/wsznmBdWws57yGVv4LzvlBnPOq1vJL7fgSzvnxnPNqnPOmnPMntOOFnPPBnPM61meIpbnPPCyBvhQ5KRfoF+GAvevv49yY43tCBU5SaNfOvP9N5dEaNy72+M8/B6v/u++AvDxgxozwffOiV6/gZZcsibZtgiAIgiAIhLOhnwhgE4BxENH7xgE4iHPeinN+aZL6R5goLRWLNAj0HfHH3vVte4MD2YTS0KssXAisWhW7X9WAH3po7PFp05zbjRuLVLM6vXqJNk46KfZYIhx0kH8ZSf36zu1ly6LtC0EQBEEQ5ZIw6tQTIEI9fg7gOwBTpMacSDGdO+NGPIkFaI9eu1LbdBGq4Uj8jEooxi7E5tzqpAj8AFALW7A1JsCQCy1axO5TTW4aNHAeW7UKuOkm577164H+/ffOYsSwNYGgRabRUyJODPvv795Ppf7mAwYAXboA//tf/G0RBEEQBFFmCWNyUxvABRBa+ushHGPnMsaeZYz1S0bnCBcOPBBP4UZ8gVPwww+pb34mjsQ0HB2obAkSzGQ7ZYq9Pm+e89i997qflwzt925DiMowUyTxCP+//45qf/wBjBoV/lyCIAiCIMoFYZxiizjnX3POh3HOj4ZwMP0VwNUADOFIiFTQpk362t53X/8yJchFf7wbfyMrVtjrHTva6/XqeWu333jD/VgYBg8GunUDiovNAn0YIT0egT7rEg0QBEEQBJFqApvcWKEcewI4zlq2BbAewHgIExwihbRqBSxfDtSo4V82WdTScuhWqgSg2LmvFDl4H/0BnBdfI6rJjSrcbtrkHc/9p5/s9W3b3Mu5MXkycOmlwD//iO3Klc3lkq2hT2dcUoIgCIIgsoIwNvRrrc8PAJ6BsKHPT0qvCF+kIG9SGqcKXZa1fHUd7IZIgrV933ao8ffCaBvM8ZhgylVMfYqL3cu5cfLJ8fVJsnixGHVVUH5iYYXzkhLgmGPCnUMQBEEQRLkjjA39gVa4x/M55/8jYT69SDkxVQrcHTvs9ddeM7ftpayuVjNBW3pTAxMnupdVBemoM7M2bAgMHSrWTTfg3XeBtm2BCy5w7g+b0fbtt+PrH0EQBEEQ5YowNvT5AMAY68wYO48xVt3ars4YizP4OBEvFa3okKkS6IcMsdd79BBLVb7m3NukPadiBI+ILtCvW+de9s8/7XXT1EEibNhgDxhMo5iXXxZLPXxmWIF+6lTn9rsJ+CIQBEEQBFFmCROHvjFj7GcAvwB4G0Bj69BIAE8moW+EB6nW0KuypLRmUWVZL+18kyZwmsDESxh7dTfb+yBMnuxf5t9/xXLMmNhjbjMCc+a413fPPUDfvs7Bx+LFzjLnn+/fL4IgCIIgyh1hTG6egrChrw+gUNn/PoATo+wU4Y8U6NNhQ28S6N0GFk89Bfz1F5wmMPESZvTSrZu9roe79GPwYP8y0u5o7tzYYzt3ms8xJc6SPPAA8OmnwKxZ9j41ZCdBEARBEIQLYQT64wHcxTnfpO1fCqB5dF0igpBqkxsVk0D/0kvmstdfb8nyUQj0YTTt06cD//2vWP/tt3DthL2onAszG2nmo5vKSIJkqU2nlzNBEARBEFlJGIG+KmKCEgIAGgJwUUkSySLVJjd+bd9zj6Hg6NH2emGhoUBIwprOXHutWD7wQLjz5GgpKB98AFx+OXDwwd597Nw5dh/nTiH+kUfCtU0QBEEQRLknjEA/FcAlyjZnjOUCuA3AN1F2ivAnE0xuNm60923eLJbdoMR/X7vWXlcdQu+6K76G402ypCakAtxNYiSNGoWr//bb7fWLL3YvZxp9zZjhtPf/9NNwbRMEQRAEUe4JI9DfDOByxthXACpDOMLOB9AdwB1J6BvhQTo19F6DiBnoam/s2mUu1KaNM0LNrbcGa1jV+IdBN4FRs8+a8BP4AeDZZ+31Zcvs9bFj3c8x3az33gPGjzeXD3pdCIIgCIIo1wQS6BljFQG8DuB0AD8B+BJAFQiH2E6c86XJ6iBhJp029HXqeB1VIrzUrWsuUqGCUwt+4IHBGv7+e/djw4cHqwMQGWC9CKKh798/WFtq1BrTDMPTT7uPkKLwOyAIgiAIoswTSKDnnO8G0ArAv5zzeznnp3HO+3DOh3HO/0luFwkTqdTQ6/Hl9QStpkAvANyzrUqbnVq1xHLQoLj7thc34deUJXbGDO+6TjvNv73Klf3LAMCSJfb6Tz+Zy7jNZKxfH6wNgiAIgiDKNWFMbt4AcHmyOkKEI5U29Lr8qwr0u3cDhxyinbBsGfDtt8BBB5krlALs5s1Cg62PEACgVSt7fanPBFClSsDdd5uPvfmm97kmgtjqBxXof/zRvy9FReb9MkEVQRAEQRCEB2EE+uoArmCM/cEYe4Ux9qz6SVYHCTOpNLl55x3ntip/G82/W7UCjjvOvcLnnhNLxtyTMKkC+q5d3mlo+/YF8vLMx7Zvdz/PjSCjpEqVgtX12GP+ZaKIAEQQBEEQRLkljJFuewAy601r7ZiHtEUkg1Sa3Oj5kFQZ/IUX4qhQTZ7kRpUq9voffwDbtrmXrV0buOoq4P/+L/aY10DAjSACfW6uuBB+9S9c6F+XHoWHIAiCIAgiBIEFes65h8qVSDWpNLlp0cJel7mT6tQRFjNqxEUgoK+otKH34sgj7fX8fKBJE/eytWoBCxaYj8Uz4vE7Z9w4saxQIZobUKOG5+GCK69Eg1GjEm+HIAiCIIgySRiTGyKDSJdTrDSLl+3/9ZezrJR1Y1CTNR1wQOzxU091bqvTAF27Ci29RI9oU6uWu+nO11+7dMiCc5EV68MP7X1+mWXPPz+2j35teGnyn3rKvN8a+BQddliwdgiCIAiCKJeQQJ+lpNKG3hT0xS2ojMm/FYDIpCp5993Y45dd5txW7crr1AFuusnevvdeZ9latYDmzc3tuoXOlPz6q8gke/bZtvA/ebL3ORJTBB23cl6Otr/+at5vhfPk8mZXqxasvVSyZUu6e0AQBEEQ5R4S6LOUVGropYWM6ueqKtwDcdtt9npMWBwA1as7t91COZqoVcsZ7z1MPapt/gkniHo6dw7edlDiMc2R8UDlKCkdaYG9OPpoMdg688x094QgCIIgyjUk0GcpqbShl8plVfse1NpkL82bA1u3umuqGzSw1w86yDlScRPWJbVru9frF+VGn1LIzQVmz/Y+Jwj772+vc57QyKuKdFzYvTs+J99kMW2aWH7yif89IgiCIAgiaZBAn6Wk0uRGDhpUZbce+SYQNWu62+R06mSv160LHHqova0L6z17Ordr1XLP/vrVV/b6wIGxx039kV/4qquAG24w1+uHOuLhPHxoSuU7b+/Rw7g/rRxzjHM7nnj/BEEQBEFEAgn0WUoqTW6eflos1RxJSeXHH0XYSinIPvCA87genrJWLaBZM3vbLQykKYGTV8SdXr2AkSN9u2tEzRA7d64zHn0QW3hlZqGkTh17/5w58fUnSubPj30Y5s9PT18IgiAIgiCBPltJpcmNquROCYcfLpYyedM33ziP60J4rVpiecklQOPGwNSpQMOGsfVu3Bi7z8t2yCTs33GHe3k3pk51Or4GicOvmNZw1QP5lVeAiy5KzUjOjR9+iN3n6g1NEARBEESyobdwlpJKDb2q/E4JgwaJpVsoHd1eu2ZNsXztNWDNGhHXfcOG2PNOPDF2n5dAr7dfrx4wYoR7eTc2bnQKwe3a+Z+j3ljVA/m//xXmLe+/H74fkvvuE9975sz4zp8+PXZfaKcKgiAIgiCiggT6LCWVNvQ33iiWRx3lXS5oFEdXfv1VCJvXXCO23cxhSkqcWns1Qo6Xpvjss511AMDvv7uXl+1LExl9ZKOHz5Q8+qhz22Tq44cSC5+bvpNX5lw/ZBx/NXlXGMaMid0X1keAIAiCIIjIIIE+S0mlhl4OHlS/VZ33348jlKXO4YcLIVlWtGiRuVyTJsK+XVK7drD6Vfskue4VnUUK9D/+KILxf/CB87iqlX7lFaCgAJgwQcTMX7bMPhYmBKekatW9q7xyZUBPLnXllRGMoCLkmWfS3QOCIAiCKLe42DQQmU4qbeilhYWbBQwAtGyZhIYXLzbvl1MF27cLgdzLsVVFFax37xaOt7/84l5efuFOnYDPPvOu+9JLhYAvM962amUfe/FFe/2EE8SyRg3vkJqNGtnrubnm0VLHjok5o6qJBQiCIAiCyFpIQ5+lpNLkZtw4/zIp84lkzNaMV69u288HQbVd//tvsfQKtxh0oCD7Fabcl1+6lykttUdqVrZY/PtvbLkFC4L3T7J1q72+fn348wmCIAiCyDhIoM9S/ExuvvnG7LsYFjWPkVdwljCyb0IkEnKnRg17/eCD/cv72RBJDbcpoo4bUpCvV8+9zM6dtkAv++A2WxEW1fZ+3rz46vCaqiEIgiAIIuXQmzlL8TK52b4d6N1brCeaWFTNYzR1qnu5lGno1QysiRAkQZOfQN+jBzBjBnDAAeHbN4XQlCxZYt9YGbozKqK4UekMmUkQBEEQRAykoc9SvDT0qlVFoqj1N27sXm7z5uja3ItJUG7RIr66br89dt/ll3ufE8TLt0sXd237XXeJZffusce8Qlf27h2roY+KTMk0SxAEQRBEZJBAn6V42dCvXGmvz5iRWDs7dtjr557rXi7RmQAjp5/u3K5TJ7ituoxlDwiTGFP8+Jdf9q4jUWG6aVOxNGnZq1RxP2/DhuQJ9OvWObfjicBDEARBEERGQQJ9luKloX/hBXu9T5/E2pkzJ7ZNE17yaWSEMT855xx7/eKL40t8lKgwLS+YKQ69jG0PiGg1O3c6j0cp0G/bZo+41Iy1ADBqVPj6hgxJvE8EQRAEQUQGCfRZipcNvZoradOmxNpRw72rTrYvvZRYvXERJirLGWfY66assUGISqA3JV1SBxh//AFUruw8HpVA//vvQK1awODBYlsm7ZLEE/ZSHYwQBEEQBJF2SKDPUrxMbmSkw6j5+Wd7/bLLnMfi8QtNGV9/Hd95iUZzkeer0xxr1gQ7N6hA//333se7dBHL118XSz2R1o8/BuuPiumhO/nk8PUQBEEQBBEJGSnQM8aqMcZeZYxtYoxtZoy9whir6nPORYyxpYyxQsbYz4yxw5VjXRljExlj6xhjWxhjvzHGztTOX8EY28kY2658AsQ2TA9eJjcmhXAU6EpkyUMPAXXrJqfNSFAzqn78sVgGGfUkGovTJIzvs0+wc4MK9JMnux9btsw/81g82WZND13Utv4EQRAEQQQmIwV6AM8AyLM+bQG0BzDSrTBj7GgALwK4GkBdAOMBTGKM1bKK1APwLoAO1vEHAIxjjB2hVXUZ57yG8pkb4XeKFC+Tm6REnIGw3FB57TWgXz/g5puT0x4+/TSaevLy7PWq1rgwkQyrQUlEyNUF+ltuMZfz8g0IYqIkE2yF4Ysv7PXrrhPLeAYGBEEQBEFEQsYJ9JYm/kIAd3PO13HO1wO4G8DFjDE318vLAXzIOf+Sc74LwOMAdgHoBwCc80mc8zGc8w2c81LO+ccA/gRwdLK/T7Lw0tCrdvNVPec1wlFQ4Ny+5BLgww+jD5W+lyVLoqlH1YqHMaNJNHRPWIG+Qwd7XRfo77/ffI5uQgPY/Q4SotLksOvHX3+J5amnAmeeKda9ZgoIgiAIgkgqGSfQA2gHoAqA35R9swBUhdDWmzhULc855wB+t/bHwBhrAuAgAHO0QyMZY/8yxv5gjF0ZX/dTg5cNveoDOnBgdG1eeGF0daWUmjXt9TACfaNGibUb1gb/s8/EskaNWIHeLYzQlCnO7TvvBPbbD/j3X+Fsm0wmTkzNTAdBEARBEJ6kNFMsY+x1ABd7FHkIgFT1bVH2y3XN6GMvNbXyALDZVJ4xVh3CJOdTzvk3yqGLIQYFuwD0BPAOYwyc85i4foyxKwBcAQDNmjVDfn6++zdKEn/9VRlAK+zYsRP5+SscxwoKbBOTGjU2ID/fIyupL3Zdp5yyAvn5Oz3KRkueYV+Yay3P37x1K9Za51VdvRqm1FQ8NxdM02jnL18euC0T1dauRXNtn9p/2b9lEyeiOD8fuf/+iwMA7KlQAQV//YUmADbt2IGCggLk5+cbrwdmzHDW+fDDAIB1jz2Gkvr10VRte8GChK+p2m8A2PTzz5DuE+n4HZQl5H0myj50r8sHdJ/LB5lyn1Mq0AO4DoCXxXUhbC18bQihXK4DgFsO1G1KGUkdAEvVHYyxmgAmAlgP4CL1GOdcDRfyFWNsJITpT4xAzzkfDWA0AHTu3Jnn5RlFraQiZc+cnCrwar9u3YbIy2sYSZsDBrSMpJ5EiOda16lbF3XkeT/8YCzDrrkGeO45e8e338bVloN//onZ5ajTMo1pLbct54cKmzejSf36AIC6DRuiQYMG4rxevYBvv/Wu06JxkyYxjr95bc0TXIl8z7rKzEE6fgdlifz8fLqG5QS61+UDus/lg0y5zykV6Dnn2wFs9yrDGFsIYCeAwwBI6aUTgCIAi1xOm22Vl3UwAB0BfKjsqwfgCwDLAFzIOTcYqzgoBRBHNqLU4GVyo+J3PCiJRnCMizFjgIsu8i/nh2pDv2xZ7PFffwXatwdatQJOOknE4IwiaktY+3TVGUGGo1T78dVXsZF3GjcWy5tucjo5/PtvrA19VA+D5PLLRYijV16Jtl6CIAiCIEKRcTb0nPMiAG8BuJ8x1ogx1gjA/QDGcM7d7D1eAnAWY+x4xlglADdB2OF/BOy1mf8ewAIAA3VhnjHWgjF2HGOsCmMslzF2LIAbICLjZCS6U+ySJcBVV9n+ihK/qIVBadYsmnpCMWhQrI14GL75RiRUUiPEHHNMbLnDDxfJkm64QWi1owrBGMQpVUVt90NrLKoK8Dk5sRr6E08Uy5EjxQBIsmtXcgR61eO6TRvbPyFpntEEQRAEQfiRcQK9xVAIbbz8LIQQsAEAjLE7GWPz5Dbn/EcA10AI9lsA9AfQh3MuTXSuhAhZeQ6ALUqc+Tut49UhwmJuALAJwAsA7uecKzYYmYUetvL444FRo4RsqhKVUvZiL8+HZHLssfGf26uX0B5Xr27vcwumnwmYBhJPPOHcbt/euT1xojl0JWOxYT/lw6DHHw3Dvvva6xdfbA84wg5eCIIgCIKIjHQYUvjCOS8EMNj6mI6PADBC2zcGwBiX8sMBDPdobz6EWU/WoGvoV60Syw0bgO7dgWnTxHZUGnqTpUpWcuSRqWsr0bCXJho2BOrVEyY1gL3UOeQQYNgw5z6ZzTUR+yk1a1nNmk6BnnPvuPgEQRAEQSSFTNXQEz542dA3VHxgo9LQq5EfU87pp4ulyVwmLPoXcXEUjYScJPy8cnOBdev8y1WuDOhRembMEEu3QUA8fVG/Y2mpGEE+9BCwcGE0bRAEQRAE4QsJ9FmKV2IpdV9UAn1aTaQ//hiYOzcxe3qJrkFOhhZdctxxzu3Fi6Opt0IF4D//8S7z5Zfex9XB0YMPBmtXzzyra/onTRJ+CMOGObPzEgRBEASRVEigz1J0G3oVVYiPyuRGWmukhZwckUU1GRrvG2+Mvk6JarsPCCfSqHjOx71j9Gjv45deaq/ffXewNmVEHYl+P6ZOBd54I1hdBEEQBEFEBgn0WYqXyU2UGnorHDo6dEisnozlyoxOCAzcdVdy6j3++MTr0Gc7Hn8c2O4SlfbZZ4Frr03ujAhBEARBlFNIoM9SvExuVK38Tz9F044e/rzMkOlOnGrIzSjZb7/k1OvG0KHAf/8LzJ+f2nYJgiAIohxAAn2WogcXUfleyXm7ZEli7Uj/y7QkliJEfPxkkK6BjBolhyAIgiCISCCBPkthDMjNFZJ81AlAJZs32+sk0KeJVFz4Aw5IfhsSMrkhCIIgiMghgT6LKSkRWtaoHF91Nm6018usyU2m46ZJHzkyujZkEgOVkpLwyaIqVAAaNfIu88sv4eokCIIgCMIXEujLANOnJ6fe0lJ7nQT6FHHUUcHKnXdedG3u2uXc3rRJCOcVKgA//+x/fr9+YjlokDNxl0kb7xdukyAIgiCI0JBAXwaYNcv9WPv28derCvTJiBhJGAiqeZdhjhKhe3fz/o8+ste7djWX+esve71dO7F87TVnmRdfjL9vBEEQBEEEhsS0MsAPP7gfC2s1oaIK9JkeDKbMENRmPgrb+mnTzPv1BFIm9t3XXn/kEXt9wgR7nQR6giAIgkgJJNCXAQ4/3P3Yjh3x16sOBsqUQH/RRWK5zz7Jb2vuXLEMGvc96A1LREPvl/zJdFw1n5k0KVg7y5eb95NjLEEQBEFECgn0WUzLlsL22UtZu3o1sHNnfPWrAn2ZMrl57TXg11/NzqBR06GDEGC//jpYeVU7/uqr7uUS0dDLAY2a/nfYMHs9Pz/2nCFD7PVDDgnWjgxRqQvwq1cHO58gCIIgiECUJTGt3CGFbL/Q3suWBa9zyxbb1CYRc52MJidHTGtkYixOVfN+6KHu5aLo+7PP2usPPSQelDVrzGVV+/igHtJSkP/zT+f+MjXdQxAEQRDphwT6LEYK9A8/7F2uSpVg9S1bBtSpA5xyitgmp9g0oAr0W7e6l4si7JD+YIwbB5xwgnPfWWfFnhfWZEbX6JPJDUEQBEFEColpWUxxcTBNZ1Bl7rhxYvnll2JJYSvTgCr8FhW5lwuj5e7d214//XR7Xb+pw4YB8+c798kINip6mMuwfP55YucTBEEQBOGABPosZv36YJL67NnB6hs92rn9448hO0QkTuPG9npUpimtWtnZYE880d4fZJSmjuokzZoFb9ukjQ8SRYcgCIIgiMCQQJ/FtG0bTFPapEmw+nRfxVGjQnaISJwwUyE33xys3D77AD/9BHz8MXD11fb+IFM3JkcK/bybbgp3/ubN/u0SBEEQBBEYEuizmJwcd1vkM88EGjYU60EVvWee6dwuLo6rW0QiqM4KPXt6l338cRHmsn17oHVr93KdOgENGgB9+zoHDEEGDyaBXH+gLr883Pnbt/u3SxAEQRBEYEigz2K85LFly4ANG8T6okXB6lOTfwLAihVxdYtIlDlzhJ1UEG/matWE3fv06c79nIt48hdf7LSbVwmioX/qKf8yJjt7ycaNsfs2bfKvkyAIgiCIwJBAn8Xk5rpr6OfMsdcfeCBYfb/8kmCHiGg4+ODgsd4ljRrF7rvoIuD1191HfqnwdDZND5HJDUEQBEFECgn0Wczu3e62NIMH2+sDBvjXRbl+yiFBwx8lYiKzZEnsvi1b4q+PIAiCIIgYSKDPYkpK3AX6jh2B/v3Fugxw4sV55zm33fILEWWIoBr611/3LzN+vHl//fqx+8JkOiMIgiAIwhcS6LOY5csruR476yygcmWxHsS5ddo05/YRRyTQMSI95OcDeXliGYSg2cL+8x//MqYEVACwcqVYduhg76OwlQRBEAQRKSTQZzHbtsVqWD/4QOQjatbMtqjYsyd83aShz0LatQMWLPB2Uk01ffqIpVeSLIIgCIIgEoIE+jLExInA2WfbwVESEegBO359166J940o55DdPEEQBEEkDRLoyxC9ezu3ExXo164Vy6uuir9PRDli0iTg6KOBzz+PPUYCPUEQBEEkDRLoyxCVNJP6ihXFMl6BXpKK6IZEGeCUU4CpU4H99489tnt36vtDEARBEOUEEujLMIlq6PV6CCJQxBu3B+auu8SyTZvIukMQ5YKFC4GWLYG33kp3TwiCyFBIoC/DRCXQk4ae2MvFF/uXcXtgDjtMLA8+OLr+EER54LrrRMSoQYPS3ROCIDIUEujLMF4CfWEhsG5dsHpIoCdCYcoOC9g2YT/9lLq+EMln6VJg2DBg06Z096TsQiZrBEH4QAJ9FnPttQWex70E+v32E1FsCryrACCEf6KMsmyZ8HoOMrp79tlgdZaWmvdLgX7dOuD994PVRWQ+XbsCDz0E/N//pbsnZZfvv093D4hsZ+JE4KSTgA0b0t0TIkmQQJ/FXH11/AL9v/+K5ezZYnnCCe71vPFGHJ0jsoNWrYAXXwQaNQI2bgS+/NK9rPSyjhf1QezfH7j8ciEIEtmN1Ar8+GN6+0FkP8uWATffHHz6mAjOaaeJ//err053T4gkQe6OWYyfKUwQG/qNG8WyXj33MldcEa5fRJZSr573yE4Po+RG8+ax+2rUiA1n+fLLYimdZYnsZsWKdPeAyHaOOw5YtQqYN88c/pZInPHj090DIkmQhr4M4ybQL19ur0sripISsTznnNh6TPIZUYZZvRr47bfY/UGdKUw29BUqlL1wSePHAwMHAtu2pbsnBFE2WLVKLOXUMUEQgSljb1hCxU2gv+46e13OlkuBvlWr2Hrmzwe6dIm+f0SG0rSp+OjMnRt/nSUl7uEqOXd3pM1UtmyxR7/Ll5OjL0FESbb9HxBEBkAa+jLM4sVi+fTTzv1bt9rra9aIpRToTf+jnEfeNSIbefLJ+M99+WXg2GPNx+TDl01ITSIATJ+evn4QRFnEzbGeiI/i4nT3gEgBpKEvw7z4Yuw+XWCXMpaUqfLyYs858cRo+0WUA/77X/GpXBk4/3zhBOtGNr68lyxJdw+I8kTr1sJhtLyQjYP8TGblynT3gEgBJNCXc844QywnThTL7dtjy1Stmrr+EBnMpZcGL3v11cGjKWSjQH/NNenuQWaycSNQv366e1H2qFIl3T1ILYlmQyScVKuW7h4QKSAjTW4YY9UYY68yxjYxxjYzxl5hjHmKlYyxixhjSxljhYyxnxljhyvHWjLGOGNsB2Nsu/X5Wzu/EWPsQ8bYNsbYBsbYo4yxjLw+QTn/fP8yuiLEFB68rPkyEnFy222J19GiRey+MC/vK68Ezjwz/Yl21q5Nb/uZyjPPpLsHZZNsHPQmAgn00aK+6A8/3L2cyhdfAO++G20/SkspAV0SyVSB9RkAedanLYD2AEa6FWaMHQ3gRQBXA6gLYDyASYyxWlrRdpzzGtZnX+3YWGu5L4AuAPoBuCXRL5JOgkSn0U3rGjSILUMCPYFu3YB27RKv5+ijY/fJpAh+zJoFjB4NfPJJ8BCaqaK8Opro3/uBB9LTj7JOfn66e5BaKHJUtKgC/f77BzvnlFOEVjAqAXziRBEprV49YNGiaOokHGScQG9p4i8EcDfnfB3nfD2AuwFczBhzm3e8HMCHnPMvOee7ADwOYBeEUB6kzVYAegO4hXO+hXO+DMCjAK5K8OukFd1UxqTkuf125/YthiEMCfQE7rgjmnpq1ozdZxLyTXz6aTR9SAbl1emMbJ0JIvNRf6e1dD2ngaVL7fUdO6Lpw2mn2evvvRdNnYSDjBPoAbQDUAWAGgh7FoCqENp6E4eq5TnnHMDv1n6Vny1zmimMsZ7a+Vs458pTjFkAWhq0/FmDbjZnmsUsKhLLAw4QS1OCqaDhx4kyhmrWEuQlEASTffVffwU7d/jwaPoQBQMGOLcLC9PTj3QjM9MRqSNTZ4NGjQIGDYrOPOjrr6Oph3D+l/uZM5WWOkMMJ+N5y9RnOMtJqe6VMfY6gIs9ijwEYLK1vkXZL9fdpIqaWnkA2KyULwDQDUJIrwhgMIDPGWNdOOdzPM6XbW5VDzDGrgBwBQA0a9YM+WmaDi0oKMBHHy1Hv36tMHbsSuTnFzmOV6lSE0AzAMCCBfnYuZNBjJec5OfnY/FiEd7m77+XAnBOyS1enE9hgdNIQUFB2p4xGfRoUeXKKI2gDw02b4bBqivQ99MDMKXrmgBA2w8+cGhDlsyejT1NmiRUZzrvc7w0fuAB1NX2Zdt3SAdh77X67OcvWADkZJ4uLu8qMaG9qmdPFHbvHl8d6sYJJ4jvmsVkym+6wbPP7v3f3bJxI/7x6FPO9u0OzenSefOwOwItvXpvt86YgTUZcF2iIlPuc6qNKa4DcLPH8ULYWvjasIXq2tZyq36CxTaljKQOgKUAwDnfDmCGtb8YwHOMsTMAnAtgjsf5sm4HnPPRAEYDQOfOnXmeKdZjCsjPz8fRR7eyBruxzoZt2wJDh8r1PNeZM7X/eXmx9nXt26fn+xGC/Px8pOsZw6efAps2oW3XrtHU5yL05jVqZJ4e8iBt1wSIccpt07ChOeZrCNJ6n+PFEIM/675DGgh8r3ftAjp3duzKa9cuo6dNm7v9FkpLQw9Esv1ZypjftJIUsHaNGqjt1adPPnFs7p+fD5x8cqTdqTVpEmrJ0HplgEy5zykd5nPOt3POCzw+hQAWAtgJ4DDl1E4AigC4eVLMVsszxhiAjtZ+N0oBSL3zbAC1GWOttTZXcM51zX3WoP537tnjPtOm+h9VrkwRrgiF008HLroouvqKisz7I35hpJzNm9Pdg/SwfHm6e1C2ueUW4M8/nfsyPcLSuefG+pRs2wbssw8wZEjwerL9PyGTUM2g/ExuzjwzqV3ZSxRR0wgHGTdvxzkvAvAWgPutUJKNANwPYAznfKfLaS8BOIsxdjxjrBKAmyDs8D8CAMZYV8ZYB8ZYBcZYFctk5lh5nHO+HMDXAB5jjNWynGRvAzAqiV81paxZ4x7pT/WXyc0F7rrL3p4wIbn9IsoZI0aY98+cmdp+RM0776S7B+mBklQkl+eei92X6THpi4uBZ5917ps4EVi/Hnj11eD1lLdQnclk/nx7PWxI0H31gIAR8dhjyam3HJNxAr3FUAhtvPwsBHCDPMgYu5MxNk9uc85/BHANhGC/BUB/AH0459JEpxWAj61jqwEMAnA651x1vB0IcT1WA5gJ4BMAZeaJmzXL/Xe8eLG9npMjBs7ffy/8/E49NTX9I4is5vnn092D9BBV9CMiONkQWUgPlxbPgPfLL6PpC+E00Qor0L/+euLt//RT4nUQvmRkQELL9Gaw9TEdHwFghLZvDIAxLuXHARjn0+Z6AGfF099soKjI/Xe8cKG9npMjfvs9eqSmXwQRN5yDvLXTTPXq6e5B+SMTBXpT1BL196nZZRMpRs314eVobHK0i8LWfcqUxOuIiocfBr79Fpg0CahYMd29iZRM1dATEbNzp7tAP2OGvZ7BvlZEeeDPP4Wd7Zo1/mW/+SZYnfPmiel+Inp27RLLI45Ibz/KKldfHbsvEwV6U7IiNZZ5PNSpk9j5hJklS9yPJevZqlEjOfXGw513ipCoX3yR7p5EDgn05QQvDf0LL9jrlSunpj9EOeWmm7yPH3mksLMdbJyccxIkTNiKFUCHDkDjxoG6R4RECvSrVqW3H/Hy558i5vaKFenuiZm6elBQZKZAb3KOdoto4/bb1r/X6ae7t1dcLJ690tLoEh+VVYJm4gbi91vwy+x74IHx1ZtMpk1Ldw8ihwT6coKXQK9CGnoiqVxwgfsxzu0oOMuWRdPerFnR1EOYkdFM+vRJbz/i5eCDhSa5Vat09yQ4YW2go+S++4CnngpW1u1l8tprTjtPiR61YadbDAwAjRoBtWuLT40alODMi3vvDV7WbbDoZabz+OMi8eBDD4XrV7r59tt09yBySKAvJxQVuUe5IYiU4TUFpP7Bqp7abkit6pIlImKCKSSmak9GRM/DD4ulnMZv2TJtXUk7paXe5gzxYPIRSZeGftMmka35xhuDZfr08m/Jy4vVBusvqPffN5/LObBli9DQb98u9pVB84nICJNxV15PHS8N+623iuWwYe7PhdsgVM7wpQr1GZs5s8xlrCWBvpwQVENPEEmlWTP3Y/rLpKDAua07YBYVien2Aw4QoZkefDC2Tj0eNpEcpk4Vy0w0B0kVubniWbzuuujqjEKg374d+PzzxDU6qvD111/+5f36qR8P+ls11fvf/wY7tzxy3nnBy5p8NsKwerV5f6VK5v2p/n/W/a7Gj09t+0mGBPpyAgn0REagO7p99JFYdu0a+6LeqiWGbtgwtr5+/ex1k3mNmiWtjGljMpLyLNBLVKckQNgX689yUEx/2mGv8UUXCZOo++6Lrw8S9fcT5GXipu2V6Fr1oAMOUzk/G+7yTJi8BV6mNUFw85twe2ZT7bSn/w4XueUqzU5IoC8nFBaSQE9kIFLAr1QpVuB+7z3ntv4ir1YN+Oore1t/mXDujK7glqWWiA9TdlwS6GOpVUvYesfjcKjPUgHh/8jloHnEiNiss2FQ+x8katQjj3gfl7M6Ejftro7p+8v/jjlzxOBl3rzYMuWVMP9769Yl1pabmZXbM5tqh+bffnNul7GBIAn05YSiojLp1E1kO9JxrrQ0Nlvsm2/a68XFsS/8Xr2c26pA37Ch2E5WuMru3ZNTbzZhevmT1sCJOkidO1c4e4cR7F9+OXZfIoOmbt3iP1c1T/jnH//ys2d7H9evg56Myg2Thl4OVA49VJgXdegQrK7yQIsWzm2vEJJhlR66Esbt9+/2zCYa2jQsenbaMN9361Zgw4Zo+xMxJNCXE4qKgNtv///2zjvuiuL6/5/zgAg20Bh7wRKDHRSxxGiIXSNY0GhiRYMt9qixxp9REzVf2zdq7D2xErErib0bQdFE7FjytQDSFFDK/P6YO+7ZuTOzs3v3tuc579frvu7e3b27c7fcPXPmnM9pdisEwcIY4fPmAeedl17Gy5Xz5NbVV9fvdvzj448n08azecklybxaQm7eew+4917g1Vd1kRTJMNf1Agxjx+r3dspZyCPnVxRutPbvr/Xa99qr2LaWXFK/12LQh8JgxowJFwDiyZXmfIfI8pLbBj2/f0PIvZcPHnYIlNvpzkpsNviuWbttjSbPvdS7t1ZXmjmzfu2pETHouwgSbSC0HFdckXjoXX+svFgNT6oySiLXXptev57Dt6uvDgwdCgwYAAwenMju2WFBXQk+5Nevn35vJ2OrEQa967r2qbeE2HnnpJP6yCO1tcnHhhvqa9sV5gMA992XTIckJWPJMqZ84RvtdI21AnauQqxB/8wz2evYHXjfubnpJvf8rFGcGD74ADjmmLhihDax9xIfjSyynwYhBn0XYdYs4Fe/Cq8zbFhj2iJ0cU4/Hdh4Y+DAAxOD3vUg4Jr122wTt+2Ql++22+LbmMW0afrdtH+ppcrbdjtiSqi3k4e+V6/0Z1dOQK3UmlNg7oE990zmrbtubdt0wc+bHWfswpYbzJN4acgyLH3hQWLQ5+PGG9OfYw16MxJqcIXY2feM79yMHOmebxwBtbDjjnokNo+ajyFGHhkALr44mW5hcQUx6LsIs2drRbUQa6zRmLYIXZyzztIhNAsumBjEriH8VVdNprMUMwwhA+rgg4FHH41vZwxTpuj3djJk60G3bjp8av789kmM7d8//fn118vZ7oYbJtNFK28ajPFlOkxA+Vr3QFptxFaicmGPhhlDzh41A/Jrkxt811HsvdbChlfTMKMeMdelXRjs9NOr17E7C3k7W2V0zkzF8Jdeqn1bPnj4ZwtfV2LQdxG4ys1uuwFXXlndAZcYe6HhhEoTFzEMe/cOL/d5iopivLxd0aBfYon0ZxMW1S7Hwg4t2WKLcrb76qtJQnetnRvzp929ezIvT+XPGLixAoTj6A3coOeduAMPTK93663Av/7l3sZVV4X34TM6N944u32AePJdmOvI15naaKNk2v5vdoU02mFrzTDoDfX837n33mTadCBaEDHouwi8UuzaawMjRgAvvpheZ9FFG98uoYsTqhRYJHkr1EEAdE+2TBZbTL/7EqVefhkYPrxzlqa3jdV2M+jrxbx5Wvv9kUeqNenz4jLoy07Ks6X7Vlwx+zt8xMw8WLp3r45732cfYNCgYu3ydYZMuFsWja5C2g6Yc+X7b/3xj/X7mWdWO0dcykZ2oSZz78+bBzz3XHWuRc+ewF13JZ/bURVr6NBmt8CLGPRdhP/+N/2/C2gHW7OTzIUuTuihW8S7GSo3Xw+4fOXzz1cvHzQIuP76sCTfAQcAe+xRetPqjm1YmbAQ8Yxq9twTOOWU2rbhMujzEmOgc1ZYIXsd7q0155uHBZVBEYOc50WUkbjbGTjgAP3OR3ZefdW9rinO16ePDqG7555kmSs/6Yc/TH8218L11+v/RruY2VprAbvvnkgON/q/wvZa1iMfpYmIQd9F+OlP3eGYe+/dnPYIAoDwQzfGe2Mb8PPmNTbGkXuxuKyfzfXX+5fdeCNw112gRhdZKYtlltHv7eShb8Q1UrQ6LMf2whQhb+Lhuee65/N7jV+rxvA277bueVGKFIfiybniodeYa53nRviuTRNuZeofuKpzc+xry3jxL7hAv9tSxGYE9bHH9HutOU15E9lN3owZidhll9r232KIQd/JMUIBv/xlEvrFO8VG2lgQmkIofCDGQz9gQPV3GmnQ82JWNQ4fd2vXqoWffabf28mgL3uoP+81F7v/Mjz0WdidYtdIE5DWz+chN5dfrt9NzDsPqWgUphPBR8yKGvSTJ9eezNxKmMTV665L5tkKTzamUFfWaI1t0B9zTHh9OyTSGP5F4fVJYjD3kymu1ZnOM8Sg7/SY/zmlktGzs85Kljc6QkEQUoSM9hijxx6ynTu3fJWVWC/QhAn5t80MwSWNYRTLe+/pG3jLLfPvtx50ZYM+5zXXEVsYxDWsmpes32p3RlzeW6WAv/0t+cwN+ttvT69rqwdxLr003JaimN/IDbS3386/nXHjtJdr553LaVcrwVWcll8+vK4ZecwyeO173VRS9R37rBynvOT9zzX3qfmvahdFrkjEoO/kmPuH/6dvu20y3cIKTEJXYL31/Mt8f7Y8tMU26CdPBr74ovZ2cXwqHTa+4ikh2AOz99//nu+7xhv51FPARx/l33fZGE3nRhVeefxxbeg++GD+75Zt0OfcXkfsaAz30C+3XM5GARg9Oh377PLMxsQx25Ke3KC3jbqQ0XbkkVqVIUQRuTXzX8HPA9fuj8V0WopcU43glVeAc84pboga7eqsxGoTarP00un5tqrNU0/l27/xjPu45JL4isEAcNhh+fZvrg8x6IV2hBfiNIWj9t8/WW5sAluBThAaAteat/EZSWuumUzbxsSRR5ZfIKiesbgsh2BOXoONF3opMjpQCyHP3SWXNKYNJjFop53yf7fsZLyc2+sWe41yg94k2OYxYrj3BnAbMDEVc+11+OcPP0wvyxr2/d//1e8+WbVf/1q/d+QwT0zYFz8PsbUrOH/8Y/7vNJKBA4HTTkuHz+TBdLqzDFkTCmN3AEeMSH/m1YNjsJNkOc8/r0N2TMJsEUxdEB/md5u6C2LQC+2ECb3kocX8f/JnP9OVoW0pYkFoCB0d1V5680D3/dnyIjh29cKPPirfAI8pge4iZviLGR2TDz642H6AaunBesPDMi68ML0sr6pKGeQNryjbQ5/ToF80lEDN4QY9984U5dtvq6/Lo45Kf7bjpt95Bxg8OLzNPBipV7sQigkrMold8+fXLzeh3Xnrrep5H31UfS4++SSZ7tYN2GADPe27hkxMvK/K5N13pz8fcUR2W5VKPP19+/rXu/XW7G1lcdJJ6c+ffpru2JmOtLnWsjoAbYYY9J0cHnJj7mE+IkoEbLdd9ciaIDSMcePSn81wr+vhfPDB6QvY9WCylRVqYd684l67GNUa1jmZnzUcHWKttYp/twihMI7Ywj9lEvL8uchj+I0dmx0GkNOgn5+VlGhvt3v3pPP6wAO59uXdpsH2sB9ySPpz2SXEfcWNeL5AnoqmnNdeq61t7YJtuL/yik6YMyoYhj/8IZleaaW0h8+Fmc+TsEMjJfZojInN5zkf8+fHqTWVkaB6//3J9KRJOkyNK3+Ya90UlQupj3H4qDBQ3MlTZ8Sg7+Tw+9dl0AtCy2E/8PnDZ968tDSdS/byjjvKacf06bWpi8QkubLfRrV4Xp97rvh3i8BDRuykXJ/sYT2xDeQPPwwXIMpjgG+wgQ4DCIWm5DTov42VduQeetNp+e9/c+3Lu00feUY77rwzfl2j+W0eQB9/nCzj3viOjmQ6j/SnUuVIhbYDtkE/apR+NzryBn5dHnecO6mOY/6DuBEfMrTt/6z//le3ge933rzk3gkld8d2ckPw4lcm7OCbb3RHj4/28FChmI6EfbyN7GWLIQZ9J8fcv6NHA08+qafzhCYKQkMZMQJ49109bcIS+J/pt9+mDfoixA7jZ8nvuUrXc0PXHv612/DXvwLPPvvdrJ55dLftUYh99on/bhnwY2gXl8mbqFYGPKb488/10D7X3bYpEpoRqvab06Bf4eij41bMq3Lz5Zf6WITix7PaevPN8aEIeRJPTTy/eShNnZqEx3HjnnPGGenPV1zh337ZieHs3mw6//xnot0OpCteT5wI/P737u/x+/TQQ7M99O+/r99jvX6u7dhx9u+9l0yHHCRlV7k0Ot2AVl7iylKLL55Mx4Qr8t/Qwohp18kx9+U99yTOCzHohZbl44+TYVCjLsO9TsYAMMWMXGTJOMYO7briVDmuh1OsYX3ffbo4BCsjvsQNN8R9FyimBFImvOS7+UMxOuXf+1799x8ySnkVTJ/hXiQpNnTd1KviJffQhzooht13Bw46CAh1GGJi3k2nOkTe3/w//6PfubFo7jGfnOWf/5z+fPjh/u27QuNqGfXafPPi3y2Tb74Btt4a2Gor93KuvW/Dwxl5HkZWhza2Q+fajj3Cw8MBQwnTZXjoOXboGL/u+e+75ZZy99tExLTr5Lhsjq6SNyS0IS6j5ZxzkulNNtHvIQ+SUbzwEfuQj5Wr5MTGN9tD4+3GX/9aPc/82TSinHvIKDVextB6/E9wlVWSaaMCYuAezpDUX5HfHONR5gZ9jMFjKn2GrsOYB0BM/sdf/pK9DsdcH9yjZEbhQh30WFztOfHE2rZp5/c0g6yaBfY1y3nppfTnLA+9IVaFiXvBDSGPd+gatusZlI1PzjgUmtdmiEHfyXHZPYce2vh2CEIUc+YkscLGQ8YfECY5KWRcZXnWY40vPsTtwoTcnH9+3PYAHQ4yblzjtNobiUk4cz3kyyZkkPCO2AknuNcxRu366ycV94DqBFCTPAfoWHpfZcuRI/3t8RFjbHKDPo9x+vnn/kTehx/O/n6MjrGtjsNxtdXIsvJzd/zx+r1eJcttBaa8FJG+zMMZZ7hD9zhlVjON9dDz4mAhr3re6963ra+/Lq/z5DteZoTIJqvz8sEHNTWnkYhB38lxeei7St6Q0IYsu2zy4Dex2VxRwDyIapEby1sMxfD88+nPZmg5pKVvMMo9yyyjjcirry7Whlbm6af1O1fWqBchg5573C6/3N3546obpshM1rYAv1Edo71ve1JjQl94O7kXO8aD6tPzHj48+7u1VKYF3EpTRn/eZUwaucRWI2u0rxY++kjHvtuhITah3I28ZHnozXnnilum/kE9sRW+agmVcskWL720v8Nw7bXh7fFOfYsjBn0nx+Whj83HEoSGc+SRwAsv6GnXH61PD3u77eL3kTWE7cP2Lv3iF/rdNn7MA5i3NUKScvqOOxZrV1ckNMpiq9GYMC0O93yHkop4+E6IGKPL1l2PqQzM28krrG6xRVy7ilLEoMoaqRowQL+7ciyMV3WzzfLvt56cfXb9ts0Vui6+2L/e7rvn224ohCRW5YYbDmedlV5nn32ARx7J16YQLgnIWsL2Xnmlet7Agen6Cvy/PKuwGs/JaXHEoO/kuEYMfQX6BKHpLLJIuAqi7+K1K2LacEOh6MOiowO4997kszHSbYPedEh4yENE3PK8mKTHrsQ33/iNk9DxtD10r7/u//4CC4TzMZZdNtzGesPbuc46yXzXb6rHfvNw7LHh5WZUwRUvb/aXV1N5pZXyrZ+XsWPrs12l0p7f0LHznWvfUHtIiz/koZ85M+lY8U5uR0c6Z+bWW4Htt/fvIy+uBOyYHA4fXAHI8MADadUyk8BvCCmfubbXoohB38m56KLqeVyxSRBaigUWyFapcZH1HR5mY1eXjeXFF9MGnpHae/PN9HouoyTGQIr1isYokNQTXzuNwk8tBbI4K6ygk6RdXonQ8XRp8tvrG5WeyZOrPfS80BKvStwMuIc+FMtcCya0zVRoBpI8hJhRBENWzYZQ5+jmm/W7CduK4cMPG5OvUQ+OPbZanSZvcuauu7rnh4zTkIeej0bY15pv9NA4WGqp/eEKPaslUdXE9dtt5nkBdohc6L+3nmFXJSMGfRckj3SwIDSU7t2Laf5mDZtyoy2mqI/rofjZZ2mj5eWX9fuECf59GXjBEw8U6xWtxXtVBr6E5Acf1O8+AzziGKQwHkzX9eA7Vr7hcfuY/b//p9/ffLO6A8bj0+ut2JOV8MgNek5M3gYnFAe88ML6ff/9k3m/+pV+t6Ugd9vNvQ1jkIcIJb5mxTG7WGml8qUOG4Ur5yJvcttjj2kNeht+rS+1VHpZyEMfygPxddaMYEEtI1kugz7vseDtMzlYNiZEEtA5TVxOM/TfW2shtwYiBn0nZ999q+c12+kkCF66dQM++cS9LFSdb7HFwtslSjw0Sy+d3Q7XQ2bxxdPGnxl2tsN9ChqB0Qa9LUXXaLj3jMfXhjpVW2yhH7ShcACOXR04tNygVBKnbeMyfAx2B4x7J13nUqn44mRZhAxhpfzlvXk8cBbf/364NoCv0wBUX2s/+5l7G676C1tv7d/neuv5lwHAoEHV8+odZuTbb6OYNk2f8+HDtZqSUtneYVc4yE47JdNGqtHkGJnOuKvTHVIOy0qSdsXBx+K6x0JSnC54x86EdNn/p7YMsakk61q3TRGDvpPjikSotdCmINSNjo60p5ATSlCLUeUwnsiYP2/joeTsuWfa6DHqKHZnwldhMmO/PWMNluWXd88vU94uBPdgn3563HeMQlBs4a2sUQhbcQgID5uHEttsg55X7HWds44OYMMN/cfbjNzEEPKc87hyOwQiT+n5rFAYc9yy1lt4YX1vZuWrGEaO9EsF3nSTfrc9yAZXp9WuQFoPXKN3TzyhE6t5Ems9mDVL16e4/nqtptTRkd3B8EmTAmm5RZPEOmqUfg9VsXaRdW3UksvgUqXJkgy24VVmjQKa3VEInb/QfzP35Lc4YtB3clz3Yd68I0FoGD16VBdKWHdd/R5KGs164PB1nnwyu6y7y3Pas2f65jEShptuml5v/fXd28wwCBaMVVTp3ds9v1FeplriW994I269rN/iMt5DxzdUVt7+Q/zFLxJD2zfaMnasX9km1Lm0wxpCCjsuz7mJc3clQvk6QVn3RmxC6rBhur2xBaUWXdQfomP2ZeRcY+DXfWzho7y4rrvBg3X+TL3De77+urpirsnT8REqyBUKy8p7/Do6wjkcP/lJvu1xXKOheUdK+Lkx/wP2vWs6oocdVv390P9NIzqSJSEGfScnJLEsCC3FYotpY8iOx8wyOE4+2W20cJk/IFnntNN00aq8YRP2zWSMEduA84X/lOXhs0vSmyG3WrSb8+AzBsoc+uO/xZXEfOed1fPuv9+/vdVW8y9zeQhNJd8i4VMhg/6II9KfYwx6vj1juLgMEF+xMnPd8+PDj68v5MauBmwSIPN4hPr21d5go0FvyJJPdGnl8+HmrBC7ojSiU+zz+M6cmU7IjsFVsTkG2wlRBB6iU4uX0DUaEwoRc8ENeiNTa9+7xhGRR7Rg7lzgmGP09IEHppeFRkeahBj0nRwx6IW2wVSB5cO3s2cnKjK+h8a557oL05hhfZM0YhtaeY21BRaI6wT42mmUVTzM8Gnshxg2LDHEyjZGfFUyfQZ9mUYW/y233FK9/KGHqueFQl14eIwdn+sKnTHe7tA14uoIAOE/XfvayOuhN9ew61z7PPHmO1z1w8RWA/6QG/u4FDHoAZ1YyxV0+L5816wx3nkcPm9zvRR/GmHQ26pYhp12Ki/BzTeKZionDx2af5v2fx+/zms5Hw88UD0vr0EPJPkz5n/UvnfN9ZzHoDchSoC+V7kAgq9wWxMRg76TIwa90PL07avfTbEc/nAYNiyZDoUOuAyj/v11aIRRKbC/Hypi4/I29+gRNsAMvgqgv/998GtUJNHytNMSw7sWY+SNN3TFylNP1WEhe++tDbiePasf5D5jYZtt3POLqETwh7EvbMMm5KHn21tjjfQyl8ymUdkoYtDnOQ+h7bsMejPt+p4vpt+sy+8rfh37RsBsRYWiBr0L08nw/X4TW8/bmUfSsijNTo589NFytmNXnx04UL+ba6CMpG5+HZQ9OmiPQtpcfnk6P+Pbb4GNNtLT5hza15YZUXBdv8OHu+8fo+Jjvtfiqkpi0Hdy7Gu0aNV7Qagbzz6r43KNlCDH5b2JpaNDG/XG22Nf/K+84pfI/OUvq+fFaoH7PHA82dLF/PlhpQkXPF7/5JPzfZez3nrAVVfp0Y5jjgFuu03P/+ab6phpXyLsH/6QTPMHvK3UEWNM8E7REktkrw9UP2z5iIcvHAVIkqU5N96o34sY9K7v+OKZjz/ev/28HnrftcmTIw3GUJ47N1GV6t7dPRpiMB2fRhj0xlPNrwNfifOPPkp3zl0J7bE026Avi9tvT382ajghgz7GWcHhIyZ5R+d22SXf+jZHHAH85jfJ52nTqkd97GvLPEtcv3P0aPf/DL/3vvii+v+5XrkcBWlJg56IFiKi64hoChFNJaJriSjYNSKi/YjoPSKaSUQvEtGGbNkviegr6zWPiO5l60wgotnWOuvW83c2ArsuSB5xBEFoCMstpz1KWd4PXxKiC9cDy6VtPGuW+/um2I7BqKT4RgluvTWZPvHEQh6wRZ56ShuXF16Y+7sAaqtoGGrv4YenP/vkKfkDkRv09raPPz5bkYc/jGO9f0cemf58+eXJ9A47uL9z5ZXumHcTHxsy6H05EfZ1fOihac+rXbfAh9l3rR56F/fco9+N+onZdkjStR4eetuA/t3v9LsZWuYGvS+kasUV06otl1+uDTRDntwV0x7bIG4UvoT3GExeifHGczbYQL+X6aHn52aBBfxyw4DON+KykdwYz4ur7ZMmVd8b9j0ybpx+N9evbdi7Rh55CNQ991TLxV5xRVSTG0VLGvQALgHQr/JaA8CaALxPOSLaHMAVAA4DsDiAuwE8SESLAYBS6lal1CLmBWB5ALMB2O6Ig/l6SqkGCN/Wl622anYLBKEkuIqHeeDG6pr78Hk1uaH//vuJJ3zllbUKii37xouW9OxZW7tCXtt//KP4dosSG7fHPd3cULMfwBddpKX5OErpkRTzkM1j0A8Zot9tD1tIFcmw6aZhAzWvh36JJdIJuEcfrR/6fJ5LGnHaNB1CwEcSXB56Y7S7KqSGDCobc055sadu3cJa7z4PfV7PLpD8JhPSYM6dSdZ0GfR2Yi2H5910754+xr166dG4GMz+VlihOXKFRRWktt8+6Sjaeuscc+5c91Re2VsuI9zR4ZfTBXRHbcMNk8+uJPWjjsre52GH+a83I1dpRg589645Bq6RKxufsIKhrHoUJdFyBn3FE78PgNOVUp8rpb4AcDqA/YnIJ6PwKwAjlVKPKqW+AXABgG8AeGojY18AMwDkqGvdnhTJLRGElsTE2ANaE16p7AI1Wfztb+75xlO4+OLAKqsk84m0N96uoAkkntkDD0x7h8vEF6deT7hRlWVcG6Mv5KEHEslPw8yZ2vOvlH7QnnJKsiyrkJYx/mxvr0va0fXdUBhVKASDj8oYTjopvT2XXr6LI4/UXkuu8e5SuTGyl/feiypcIWs+jCHNRwu6dUuHUdgYD71tUBWpf2B+0+zZ+loxoz4m1MksDxmnnP79dcjXyJH6sz1KMnBgnPH14ov6fcoUdzhFq4bkdOsWrrVg8IU6xUrmcq66KpnOkka1C0+55EpjpId9kqm3355IDZvQvyyDPkY7P+uacXWsm0jLGfQAfgigJwDepR4DoBe0t97F+nx9pZQCMLYy38UhAK5TStln/EIi+pKIXiWiQ1xfbDfyhuQKQssS84cfwlXl8pxztLfouOPc3zFenxiMV/+KK1outrI0DjoovNwlR+h6KNphO3ydVVdN506ccUZ4nz7FlJjQkJDE5IQJYQ/9ZZfp9+eeS+bZhkpsVd8nn9TvrqJWdhyvD18ytgsTfrbXXsm8BRcMj2oYg74MhRl+3Pm1YDrYLu9pqJYAAPz2t8CuFR9erWFBo0e78y58hbIA4OGHgRtuqG2/RXngAWD11bPX8xn0d9+dTO+8c3ntMtiJ8a7zU8v/+7BhiRa+GU3NMuhd2MIFWQ6MFVeMal6jqPEJmQ8iugGApwwkAOAcACaoj489mWlf5sWi1voAMNW1PhH9CMBaAIZYi/aH7hR8A+AnAG4jIiilqgJTiWgEgBEAsPzyy2N8k3ppkyZNytz3jBkLAUh6os1qq1CcmPPc2XCIUGYeA/4d17p9NtgAy7iUUN5/H7joIow/6KDv/uyztpW1/89++EMESr58x9wll8TstdfGIsagC+1TqarjMn78+EJttXEdb1d7+hkPqmd/qxOhO4B3x45Fz7fewtebbooFJ0xA38A2AaBjxgyvt8a1H97e2a+8gp4AJj35JJbk33nnnfSx+c9/gI6O1Lx3P/gAc7/91vn7v7jsMsxbdFEs61jG29XvRz/67vP/ffEFpkecE3t5v48+qlp/wXfewSoAZs+bhwnm+Ae2u/JXX8H4pf/vgguwnJEoZOua70+eMAET7Xa++y56rraa81wBwAcTJ+Kb8eOBOXOc12Eu5s37bhvvv/wyTMrw14MG4ePx47HIZ5/BRCubbS9x6KFY6sILMXOjjfBRxv66TZ6MH9htfOst7/rdv/gCPd5557sn5adLLOE877NvvBEThg4F5szBws88g1kDB2J+paPTr5Kn8d6KK2JOJfzE9d+dda8V5eNll4XLvPx25ZXxfqUNKzz8MBYBgD/+EeMrFbl7vP02VvrDH74zBifsvTdmO47vMsOGoc9ddzn3bV9fADB9222xWCV3ZOrSS+OzrONw/vmpj2+NHQtljbT4jt34t99Gvyee0B9ee03fU54qzBO//BKTHe0FAJxxBsbvscd3HxcdPRomkOjzU07BFOue+ayjA1PHj2+dZ7RSqmEvAIsAWDLwWghAfwAKQB/2vcUr89bzbPdVAMdY80YBuNCx7k0AHopo66kAns5ab8MNN1TN4s0338xcZ8wYpbT7S7+E9iPmPHc6+EUbe/FmrXvNNe7tmtecOfHbytr/ueeG92Vef/qTUvfck/1bn3tOqaWXTq+z++7F2xpqe+jYZ7VzqaX0/DXX1O877qjUqFHZ53PSpLj92+3Yeefwd/jnkSOr5336qf/3n3yyUpddlt0u/nn06PS8ffd1Hu7PTjlFL99rr+ptGF55RX8eMCCZd/fd/mOy667JsltuCZ+/oUOr9zt/vn75fuvbb1dvB1Dq/POdvzET8/2xY5PpUaP0suefr277JZfoz7/+dfa2XddTiI6O9Lovvug+Bv376/W33NJ/bE8++btZzv/umP+FIq/HH3fPnz7dvW9fe774wn+cxo0L35983rXXJtO33Zb/OJh7I+Y7rt/mW/fcc5Ptbb55+Dq5+OJk/nPPVW+3ci02+hkN4F9KVdujDQ25UUp9pZSaFHjNBPAWdMLqBuyrAwDMAvC2Z9Ov8fWJiKA7BqnMNCJaAsAeAGJqV88HUKfqFY1DYuiFtuTYY9OfXeEyeckq2lKmlvJpp8Wtt8MO7jhrpZLpWbO0LJ9dMbVexXVqwQybG+nOBx+MU7TgCc8xmFhzW4HH4FLiOfjg6nmhYf4vv8xffMyO2/fE8c8zoS2uc2hr4PM2GpUNl5KJ0etfbTW3tj6HF8wxEIWvKV8l4B/YvvCc8LYaqVF+3N55R6sEmfszJpwma53Jk4G77kqOsZ0HwO8/jolTt0bUUrBr+fsXXlj9X1YvNtiget4WWyShUkD1ubKLrAHhJOd1M4T/eI4PFwrYc8/w91wY6dwi+CRlgfS1kZX/wZN3XdV1fSppTaLlYuiVUrOg1WfOIqKliGgpAGcBuEkp5dOfuhrAbkS0FRH1AHA8dBz+36319gcwCUBq3J2IViaiwUTUk4i6EdGWAI4F0CTtqvJYbrlk+rHHmtcOQcgFG/YEoFUcsthuO/3OQg1S8CIhLoYODT8I8sAfFLxkPQBccEEyPXWqO1548cWTBL9rr3Xvo6y2xjB/flw+gcuQchkNNq4k4xDGEPPFwLtiwV1GvmnvO+/oePeLLkqWffNNfoPeln10GVkAlK3ywjFSeCEd+pBs5SablNMBtvF1iIvGPhtpWP5bjCHNDfo11tD3ti07GMK1zvz5Os/glFO0us8ee+iX6//CZ9C7ePfddP7Gskmwzveuvhq4+OIkpybPdvPiOj/2dWCS/Q12kTWgtjbyDqEpSqdUvPOBCxDUQijXhF8bWQpePD/GRVGJ4TrRcgZ9haOhvfHm9Ra0gQ0AIKJTiOi77CGl1DMADoc27KcB2BPAjkopW3h6BIBrlFK2K25haFnMiQCmALgMwFlKqYBOVnvA/2s9zxZBaD2KPFQefljrEVuxmN+RlSH+yCP6IVR2Jrktt2cqGgLa68Pl3AzTpgG7766nXfr5ALDffuW0D8hWfDj22LgEz1CSaYi8es5ZBr0xILgh0a1btWfVGMGrr67PC/dOTp8O/POfevqkk+IkQ40H/dVX9cPerrZaoYeJmb//fl0YiWMUbFwqN6HCUpWYaNx6a7bRW6Rsvc9DX/Scm4cTT+Y13mRXoSKTcGoqI4dw/X9Mnw6ceWa6ANqoUcCf/lS9rmsExGCP5P3gB2nD0HU/mw6K67/JJeFoE6Pm5ToPdsd24sTs7XCPfl7sUcS82HLARXn3Xf8yfo9n/e/wa8VF3oJadaYlDXql1Eyl1HClVJ/K66CK594sP1cptbb1nZuUUqsqpXoppQYppaqEZ5VSayqlqrS9lFL/UUoNUEotqpRaTCm1jlLqz/X5dY3ngw+0LHYtNSsEoaEUHcoMxZjFSgiGtLhj4ZUQbeWTjTcGTj1Ve+6I/Ao7WcQYAi5GjtT79XUUXFx6abWH+4UXqtcrokkOVBdsySLLoDdw/fGOjkQJw2AbvrwDMHGi7iSa/dx3X/X2r7vOvd/119edIM/x6MXlGG1d+v/8R7+7PPShwlI2RoWHa/6b8BZXJWQXSy2VTPsM+qIeei5dabZjjn/Ic8rlEn24qv/Om5dtoAH6N4d+k2sZ70CY32OPvI0endZuN9+7+ursNvG6Fq46BoD7WrMf+h9+mEz7ZC6zQhNDxEjFhlg2lIKeg5AaF7/n+/Wrn8RwE2hJg14ol759a5frFoSGYhtaZQxVx8ZpB9QwgnBZPVMo57DDqsMwevbUD3ZTyr6oQVQ0QcZ4/nv31sc1NnTHlg3ceOPqdUKesRBZsbk2xqubNWQ+YEAyzUdGDHaHgF8jTz+dXuYaucmS8fQROufGA5w35Mbm8MP1SM8BByTzzLmPDYEwEoB83wBw3nnu+Xkwv4sb9IaiHUODa4QiNnyqVnlcMyqz447p+Ycf7m7D4MHV15qL11/XHmVf3ggArLlm+vM666Q/89EQXk03D+YaclFrXk9WtfAQPC+Ed6bsomL2tfHznxffZ4shBr0gCK1HPRI+YwqJAGlP7KWXxm//qaeSaeO5veKK+iWvxv6eEPvtpx+iMUPlrnjbssjyCnJDaNIkYOxYPR1jTBqtaK65brA9uaHqkT/+cfa+IpkV6sCYTsWzz+r3ivQfgHwGPVAdEsC/H1Mk6f33kxe/jnlYSVGD3sTEG43yWg3pLGKPmUt/Pg+m2qstY/juu/7Oc5bGPqCN80MPBfbe27+Ona/Dk+iA9P6LFJMCkhEkF3n+6x58sHqe3QHJg6l6vMkm6fl2rLF93btGc9oUMegFQWg96pE8FptEwrWWjzgifvuu2NlmM3eu7lT4ElNvuSXeS297umqFG1jDhoXX5aECZmQDiDMmhw6Nb9Mnn7jnX3pp7eEEjK/s0B+Oieu3i9wA+Q163/e//RYYMSKZzztUf2bRplOm6ERFO1mRD/nmCd3iGG+xucdqLQaVhakCGwuvTF0PuCGZJx52xRX9bfNVUjXMZroiRQ1Zo2BluOWWZNrkcVQ0+YMYEQNDjx61hdyE8ks4dsiWfd21mHJNHsSgFwSh9SlDUrJIzHmtQ/9lkLdz89JL2osNAFdeqYfojXe9lo5S0SF6H/zhneWdNd5qIN056dHDLcHIMQ/smGvI5yndbDNg0KDs78cSY7wuv3z1PHOciiYfmhClOXPSsfW84iXvxLqUgXg7gNo92kYBpt4e+lNPzbd+LR30mCJDvPPoCtcLYUso2qpgBnvki4eNharehrBD1zbfPJned18dm/93W2DQgf3f6sqjiRlFMnKtvorRNvYIg33dLbRQYtSbJN2zzspuRwvQAk8rQRAEC9vwdCUk5mWzzZLp44+vfXtFuOmm/N9xaSVvtZV7XSId275qpfYm96rPnVs8PwAo1vYQkyfr908+cYfDcPhQPvegLbBAdsl7n0FvwnY4PoWjTTbRyZIPPRTeVyxZ+tdAEopi5B2BxCD3Jahm4fPwX3JJse0A5XV6623Qv+0rY+PhnnuK7+vTT7PX4Qo03Ftu1HxC2OfPyK3ann47Jr0M73P//unP/N4k0nkXRRJrjUwvx9wDIUzH1Fw/vmTfPPTurdWUTOfAdb+5dOmbjBj0giC0HvYDIaQrHAv3gnEjqRHMmKHjsz0yhkHOOKN6Ho+NdhURmjFDx2JzL+ysWdVJc81GKffvszFxyQDwxhvJ9IwZftUPg8+gtw0TwG/Qn3mmft9++7RWfUF65lFSMh0fIDGki+Zl+Az6vJrG3KCPqRERQ62Shza1JFgC6XyKvOEpec8Pl4qM6ezZRdLMaM6554a/57rmOTH/s/ZvKytUysTP83AiLivpuzfNf2Hs6GPMuZkzR4cSmdob/HqfNUuPCvJRwxZBDHpBEFoPO7Gp7NCXWqtbxmIUFBZZRMtNlQX3qPrise0h9bJj4F3w6pAxzJ8fTkQ1HHWUe/4aa2TH0ecJuYmpQeBT+chxflWWOg/vwJjwKSDxQhb1tJpjZSd7+xSTYopJNVqLO7ZDNXlydmcvlrwycXmrw3Ijc8kls2PJfR1zV0E1jisvg2NL7LqwDeKyytGb+9TIrQLpzruvvoivXT5uvDFuvTlzkg4OVwfq2RMYMqQlK3WLQS8IQuthG/BlGsNAfRVbOAceGLdeVhy4vS6PeT7tNPd69nB1kdGBvIRkKxdeuNpgmDsXeOKJ4vvr1i3eoOeJtT5ipE19Hskc+QkqS9XEp4LD912kXoLpHNieWN9vOvLI7HY0mqzwLEOvXu5aCbH065dM82TSGIqEfTz6qDZaN9sMuJ0VqT/99PhtZHWuyghrsv+bubFbBryNPB6ej1S5KCLFGuKccxLJ4XpW+C0RMegFQWh9bPm1orz5JvDMM3HbKyNGMlbjfcgQjA/JwXF4kRnAL19pqzn4FFzKJFRN9uWXgbvvTs/Lm+xshyN0dGQ/yI3xeeWV2dvPMhrMPl24dPk9zM8y6D/+OHvfd9wRvb/v8BXR8f2mGAOwaCEibjDnIU8l02WWyb99k2TJO4qufIuy2WYb4IQT9PW8+ebAIYcAF1yQLyEzRl3GR5bSlMG+JsoeoeGdxXnz9D1/9tn6fzuE63/ASFnyzq9rtMWlYPX558n/jdlOiyMGvSAIrQk3cMsa1u3XD/jRj+LWLTIqsPXW6c95HnauB5Irkc+W0oyJuS1KmQ8yV5hAXoM+xhtoq8Pk8Sbb8owGHstrFwpzrZOB06CPiWPn1wiPg6+XBzF07GbM0KFBRcPhfCNLWdRSyTQGo7ZSpDMQC68t4IJIS1D+5jf+dXbeuXpeLSMnMRVrgXQxN1cb8uAK0bNHoe68U49SZI16uK5DMyJlRAJ88MrNhm23TRKjTSx9iyMGvSAIrcmaa2pVkZ//HDjxxPK3n5Ug9utf59+mLW04cWL+bXBcybu2N6mew8Gu4i8A8Pzz+baz9tr6/R//SM+PkaXjxBj0dqhRHiPHZ2jxRD3fiECM3GCF+a5E5pjiQhyeE1FUlz6L0OjHIovU5p2ttcJsvTD5Ba7KwmWxzTa1b+Oee/T1GjOqlMXvfpcdf2/gBn2t/8sTJlTP49fFtGnARx9Vr+NSZQo5YBZaSI+y+OREXQb/oEGJIZ+VbNwiiEEvCELrsv32wG235Rtmj+V3vwsv5zKXsdjJjqGY8iIcdVS1kVViwaMqfMawnbQcYvnlk+Q2O+k0j0E/b14x2U1f+IoLl6ENAGutlX+/AZweel9IgS+enneOeDhVyMBzjZL89Kf+9csaGXORpULzxBNaktQYjZdckk4WjqWo17roCEKj6OjQHYMcHUkvRsUpBv4fV2sNAlf4C9ejP/xw9/eOPFIXQOMhflnXU//+xdXN8uZQNAkx6AVB6JoMHQrsuaeuPJpVYTEWu2pmmcm3P/gBcPHF1fPrVbp8ueXKSX7klXftAjj//nf8dmbPTm/L5d0DqsOEYmLnOSXIUmYxP0vlhrPLLhEbZGFXIQPvj3+snsdVRQwPPKATug89NHvfRfFVLzZsuaVe57zz9CjUUUcVGxFwhWKEOjGGWmUvDQMHlrOdsrBDiZZaKt/3+bWbp2PvwpWgSqTDXQAd1uUaBSDSoYdZoyhDhhRvGx+dzKta1CTEoBcEoWtCpNUkLr5YJ6CVwYUXpj+XpdEN6HjSRkil9eqlNaFHjXIb9C6j0GB7dG++Of3Qt43NwYPd23nmGV3Y5Zxzknnz56cTgrkkIVcTsiva/vjH1dt3VWE1xCRMP/ZY9joB5seGNwDhUQyj3R47guU63q5RiR13BK67rngBqxh8VWjLxhWOFJtHY47X2LHFKk0DwAEHpD9vuWWx7ZSF3YEbOjTf97lBX+vI6b776tAWW2LXdDpi4/p91DLKMmZMMt1MVacciEEvCIJQL8qM9y0zGTCUyDh4sO48DBwITJ1avfygg/zftb1p++yT/mxXsvTRo4ceefjqq2TetGl+JY6ddkqm7bASl4c7VJo+5uE9eHA65t3OnchA9eihw7Fc8cE2IaUks1+u1x3CZYAVjWWvlawKv/WEH69QOx57TI8O9O8P/PKXxfZl/wdkJWjWGzvB03jDY+Fhc7Ua9AsvDLz4InDccen5t93m/06eJOw8eRCukaoi22kiYtALgiCUhR0TWu8EvqLcead/GR8FcCWhhkYJeJiCK1k31uNrjhv3Tl9xReLht430ULLs449Xz/NJfdr7BPzFsrhhU0QRZbXV0vUEfPDOio3pENRynTXLoM9brKksDj88nWdw/PFx3zv22GJ5Nfa5aXaF0YcfTn+O7WQbeO5RvTzXofs5Vl4zL6Hf4hrla0HEoBcEQSgL+6FQdoXbMjjuOGDXXf3Lue61nRMAhBMljZqNj9iQIZeB+p//JA96Owady1/aIxmPPFK9rZCijN3GrKqdQH2T5mLivU1sOU8ojKVZBn3REJZa6dEjHQZzyCHVtR1c9OmTbYwbDfsKU37xi+pr+dRTo5pZN+zcgLwGPacZ1VJD4XK1sM46/mW1HKMG0oJPG0EQhDbFLkDTguXB8T//42/XnDlpPfS8RtdPf6q9/y79fCDek+xab/LkJB7aNuhDRqkrBj1k0NthBDGdsixd8RiKeh6nT0+OS5GRgmYZ9M3q7Pbsma4aTJQeLciSsw11aK1j+e3KK1dff6ERlzJ44QVdFG/cOPdyu8BcXmO1XgY1J3RN5kkoz0Mor6IV/8cdiEEvCIIAVCdTFqHWYjSmkEkjcHl+bUPaVun5/e+ztztsmFbkcdGzZ5zqjGkH9zg//bTfQx9KHB0woHpeaHi90QlwL7ygj9m11/oruYbo3TtJji1inDfLoG/UcbaNsSlT3PKFxnP9wgvh7fmkTYGqe0p161ZdHbmeUqCArlj83HN+uVP7Xslr0LukT8smVFchdL3mKO7m5IEHavt+kxGDXhAEAUh75mIMVxczZtTWhqFD81dPLYqtLOFiwQW14olh331r3++IEdlGhPHeHnxwMm+FFZIHvf1QNzGuruIydr2BTTcN75sXbAL8xWjKYuON9ajGYosB99+fvb6r/eZ6jfFe2h7oZil4NGq/zz+fzt248kp3deWvv9bzs5LPQ8fYThjv6EjnWjQrb4BjjxCEOigu7OJwjSZk0PPE5SLOlR139GvftwFi0AuCIABpAyOk5BIiVg4vRJFQhCeeyP+d/v110aWnntKffaXVN988mS5ruDurQJDxqi60UBICdMopfg/9SivpIjdvvlm9LXvdrFEQOyHvvvvC65dJjKSha52XX9bvMd72elRdLoJt0P/2t/XZz8YbV4dEueKlieJCK/76V792u/WbVLduwJNPJjN8YTCNZPfd05/L0ttvFKFrnIfLnXBCse1fdVWx77UAYtALgiAA6QdFUYnIG28spy15peT69fMvC5WZX2EF7d1Wyl3kBUhLttUrfhVIq8lww8oY9N27Jxr4rof6ssu6VXSWXjqZ3nLL7EI6zUxk5qMhPkJ5CDHa7vUqRJYXfpyHD0/XHCgbW01o/fW1JKWvOFmIgQOBzz7zL+dVVzs6Wi8x3vbI5x0pianTUE+yOq1ffqk74UcdVWz7ttRuG9FiV5ogCEKTKMOgL8vbtdZa+dZfemngmmvcy2r1yPIwgTK18G1uvTWZ5pKXxoA9+mjg00/1dJ6OBY+hd3nwbULx+Jx6hE/E/K6QQc+L4fiodwx3LNzQHTCgvoavKxRr8OB0cbI8hDz5J5303WS36dOBf/4zWfbznxfbX5nUGuqUtxBV2WTdI4svDvzsZ8WlXPP+97YQYtALgiAAaYO+qGGeNx7Vx5lnAnvtle87w4e7DY1ay7NzA6AZCZTmwTxrVjKv6EjBF19kr5OlcmLgscgbb1yoOVXEGCG1GmRFtNTrzemnN7sF5cFGiVRHR1oVxlcZuZHUev0cdph+D0nf1kroPqj3fxB3LLQZYtALgiAA2kN4zz3AqFHFvYVlJfr17g387W9JTOgWW2R/h0gn9nFJPqD24lb8WDSqUBZ/aD/zTHh52Wy3Xfrz+ee71+ND+kYHvlbs3+UydGs9B0RxCdGNxFWRuF5suGHDdtXtq6/S908ZSlq1wttTpLO/7rpaKchW7ymTUFhYkXyhPMTUJGhRxKAXBEEwDB0KDBnS7FYkPPusjum85Za49Xv10kPOnDIMQEO944GvuEIX3uExz65k3XrG8tujM75RFx6vX4b6D1Bt0A8fXr1OGZ2qVVapfRtlYioAN4JRoxq2qyUvuyx9zzQywdoHdzrccUexbfTpU19t9pBBX8+OhIt6hhmWjBj0giAIrcq66wI331yd1BfCLozUrVtStOjCC/O3gT+4611g5dBDgbPPzl7v9dfr14Yi1WxduuZFsA36r7+uXoeHHhVlp530qE9RedayaURc//z5wFdflVcYyUiqDh+uC7DxWHkON+hb4Xjz9jRLsjSLUOjifvvVd992h76BIzq1Iga9IAhCZ4ZIe/hfekknluaFJ6i2CrEjFmXg+/31yC2wt8MLaxnOOKP2/fTooeUUTzut9m2VQT3jsQ1E5Sr8/PnPWuP+mmuAd991FmqbwxWWgNYIueEd1kaF0OUldJ722KO++z7vvPTnZuvu50AMekEQhM6Grd6x4IJafrJIyEw9DPq81Smbic/o4WE/ZRlGtXYMiqq2NIubbtK1G5gyTNuw4II6Bj0wovPl8OHpYnO1Fp4rA97eeoau1ULIoH///frum48WKdVWOv1i0AuCIHQ2Rowob1u9e+uQAqMHXwYvvJD+PGVKedsuG1/ng3vos7TtY7EN+rzxu++8U047GsW+++qk50bG0DeC/fYDevXCtCFDgDXWaHZr0nCDvqxk7rLhITcHH5wu9lTvToirinCbIAa9IAhCZ6PMuM+ODuCtt4B//au8bdqFsPr0yff9iy7Kt75JpPNVw/Wx6qrAbrv5l48ZAzzySLp4VS3YMc2uQlkhmiErKlRz443A9OmY36dP2gBtRGhRFj17AoccAhx/fOsVvTJwr/j776clYuudpGqqLrchLRpAJQiCIBQmVks9llZLnnPFlofYbbdioUP33hs2knnRqjKod9Kx0DhcYVhl1Suolb/8pdktCMPvuddfT3+ut4d+2rT6br+OtGj3TBAEQSjM0ksDjz8OvPFGs1tSH8aNq+/2jQHRbjHpgtAZ4Ab8xInpz/Uehdp++/puv46IQS8IglAP1l23ufv/yU+AtddubhvKwKXEUm91jilTtCFRVuXfMjn22GT600+b1w4hP62m/9+q2EY7Dz3bYYf67tuW/W0jxKAXBEEoEyOrdvnlzW1HZ2HMmOp5u+xS330uvDCw5JL13UdR1lwzmV5mmea1Q4jn3Xd18q+M+MSx1lrJ9B57pOPmF1qovvvefnud1HzNNfXdTx2QGHpBEIQyuf124LLLgO9/v9kt6RzMnZv+PGIEsN56zWlLI1lnHff8vfcGLrkkKRYmtD6rraZfQhxc9WjTTXVuyYwZjckx6dZNJzW3IWLQC4IglAmRGPMxPPkksOWW2YYp98jddx/ws5/Vt12tgk8+b5FFOm9uhCAAaY+8Cb9pxfC3FkNCbgRBEITGs8UWOlb9jjvC6519djLdGXICYmnFCr2C0Ai4ks0BBzStGe2GeOgFQRCE5hCjP7/88sl0V0oqfPPNfOtvs0192iEIjWarrfT7j38snvkciEEvCIIgtC59+gCjRrVuVctmoxQwaVLrJvEKQl6+9z1g5sz6F5HqZLRkyA0RLURE1xHRFCKaSkTXElGvwPrrE9FDRPQpESki2tyxzkAieomIZhLRe0S0j7V8KSIaSUQziGgiEZ1HRC15fARBELoUQ4ZoGU7BjRjzQmejV6/WrWTborTq0boEQL/Kaw0AawK4MLD+twBGAhjiWkhEvQE8BOBuAIsDOBTAX4hoU7barZX3FQBsDGBXACcU/wmCIAiCIAiCUH9azqCveOL3AXC6UupzpdQXAE4HsD8R9XR9Ryn1plLqaqXUy57N7gZgFoDzlVLfKKVGA/g7gBGVfa4CYGsAJyilpiml3gdwHrThLwiCIAiCIAgtSyvG0P8QQE8Ar7B5YwD0gvbWF6n5vT6AMUqlZAPGANiXLZ+mlHrPWt6XiBZTSk3nGyOiEah0BpZffnmMHz++QJNqZ9KkSU3bt9A45Dx3DeQ8dx1C57ofm5brob2Re7pr0CrnuaEGPRHdAGD/wCrnAHikMj2NzTfTRbOiFrW2BwBT2fZ8y80+Uwa9UuoqAFcBwMCBA1W/fv3QDMaPH49m7VtoHHKeuwZynrsOwXM9ahSw777A3XfL9dDmyD3dNWiV89xoD/2vAfwmsHwmtBceAHojMap7V96n21+IZAaAvta8Pmx7M9g++HKzTBAEQRDqz5AhwNSpjamKKQhCp6GhBr1S6isAX4XWIaK3AMwGsAGAxyqzB0DHwL9dcNevQSe5cgZU5pvlvYlo1Ur8vFk+QSlle+4FQRAEoX6IMS8IQk5aLilWKTULwC0AzqpISS4F4CwANymlZru+Q5qeLGm2R+Vzt8rnvwNYiIhOIKIeRLQVdKLsVZV9fgDgHwDOJ6LFKkmyJwG4sm4/VBAEQRAEQRBKoOUM+gpHQ3vjzestAMeahUR0ChH9m62/MrQHf1bl8z8r0/sCgFJqKoAdAewBHSt/NYBDlVLPs238Evp4/BfAywBGATi/5N8lCIIgCIIgCKXSiio3UErNBDC88nItPxfAuezzBADBMcqKpOWgwPIvoL32giAIgiAIgtA2tKqHXhAEQRAEQRCECMSgFwRBEARBEIQ2Rgx6QRAEQRAEQWhjxKAXBEEQBEEQhDZGDHpBEARBEARBaGPEoBcEQRAEQRCENkYMekEQBEEQBEFoY8SgFwRBEARBEIQ2Rgx6QRAEQRAEQWhjxKAXBEEQBEEQhDZGDHpBEARBEARBaGPEoBcEQRAEQRCENkYMekEQBEEQBEFoY8SgFwRBEARBEIQ2hpRSzW5DW0NEEwF82KTdLwlgUpP2LTQOOc9dAznPXQc5110DOc9dg0af55WVUt+3Z4pB38YQ0b+UUgOb3Q6hvsh57hrIee46yLnuGsh57hq0ynmWkBtBEARBEARBaGPEoBcEQRAEQRCENkYM+vbmqmY3QGgIcp67BnKeuw5yrrsGcp67Bi1xniWGXhAEQRAEQRDaGPHQC4IgCIIgCEIbIwa9IAiCIAiCILQxYtC3GUTUjYguIKKJRDSDiO4moiWb3S4hgYjOI6J/E9F0Ivo/IrqaiJaw1tmPiN4joplE9CIRbWgtH0hEL1WWv0dE+1jLlyKikZVrYGJlnx1suVwnDYSIOojoOSJSRLQCmy/nuRNBRFsT0QtE9BURTSKiy9kyOdedACJahohurxznKUT0GBGtz5bLeW5DiGgvInq68lye61je9POa1YZMlFLyaqMXgFMBvA1gVQC9AdwN4KFmt0teqXN0LoABABYA8H0ADwEYxZZvDuBrANsCWBDAiQA+B7BYZXlvABMBnFRZvg2ArwBsyrYxGsDIyrqrVq6Jk+Q6ado5Px7APwAoACvIee58LwA/ATAVwLDK+eoJYAM5153rVTkHowEsAaAHgPMBfAyA5Dy37wvAdgD2BjAcwFxrWdPPa1Ybon5jsw+yvHJflB8COIh9Xg3aiOjb7LbJy3vOdgIwjX2+EcDN7DMB+AjA/pXPB1Y+E1vnZgDXV6ZXqZzz1djygwB8INdJU87vGgDeA9AfaYNeznMnegF4HsAfPcvkXHeSF4BxAEawzz+sHOcl5Ty3/wu6Y24b9E0/r1ltiHlJyE0bQUS9AawE4BUzTyn1HoDpANZrVruETLaCfkgY1kf6HCoAYyvzzfIxlfmGMdbyaZVzz5f3JaLF5DppHJUh1esAnADtveXIee4kENHCAAYBmE1EYyrhNk8QkakOKee683ABgN2JaEki6glgBIBnlFKTIOe5s9IK5zWrDZl0j11RaAkWq7xPs+ZPZcuEFoKIdgfwKwBbstmLInwOiy5HZR2qTMt1Un+OBvCZUmokEfW1lsl57jwsDp1z9isAOwAYD+A3AB4kojUg57oz8SyA/aFDLOZBh9vsUFkm57lz0grnNWsfmYiHvr2YUXnvbc3vA93TE1oIItoDwNUAhiilxrBFMxA+h0WXm2VynTQAIlodOnb+155V5Dx3Hsyxvl4pNU4p9S2AP0DnyWwGOdedgsqI2z+gY517A1gIwDkAniaipSHnubPSCuc1ax+ZiEHfRiilpkLHVG1g5hHRqtA9uHGerwlNgIgOBHAlgJ2VUo9bi19D+hwSdPz1a2z5AOs7A6zlvSvnni+foJSaJtdJw9gcOun5DSKaBD3ECgDjiOhwyHnuNCilpgGYAB3zWrUYcq47C0tAx0P/r1JqulLqW6XUNdC20iaQ89xZaYXzmtWGbJqdoCCv3AkdpwJ4C/pPZzEAdwJ4uNntklfqHB0FYDKAjTzLN4fOkN8KWkXhN0hn1PeBHu49obJ8K7gz6u+qXAOrVK6J38p10tDzvBCAFdhrE2jjbiCAReQ8d65X5Tx9AmAt6HDVEwF8Cu1Vk3PdSV6VY/y/ABaunOfhAL6FVieR89ymLwDdoJWptgUwtzLdE4l6UVPPa1Ybon5jsw+yvApdlH8CMAl6iGYkgCWb3S55pc6RAjCncnN+97LW2Q/A+wBmAXgJwIbW8o0q82dV1tvHWr5U5dzPqFwL5wPokOukqee9L5jKjZznzvWqPPjPAvAZdGzr4wD6y7nuXC8AawK4v3Kcp0EnKg6V89zeLwAHVP6f7VffVjmvWW3IelFlI4IgCIIgCIIgtCESQy8IgiAIgiAIbYwY9IIgCIIgCILQxohBLwiCIAiCIAhtjBj0giAIgiAIgtDGiEEvCIIgCIIgCG2MGPSCIAiCIAiC0MaIQS8IgiCUBhH1JSJFRAPruI9hRCSay4IgCBW6N7sBgiAIQqfiYwDLQhdQEQRBEBqAGPSCIAhCaSil5kFXUxUEQRAahITcCIIgCN9BmhOJ6D0imkVErxPRPpVlJpzmF0T0DBHNJqLxRLQt+34q5IaIFiCiS4no/4joGyL6mIj+yNZfnIhuJKIplf39g4jWttq0HxF9SEQzieh+AEs72r0zEb1SadMHRHQOEfWo24ESBEFoIcSgFwRBEDhnAzgIwBEA1gLwBwBXEtFObJ3zAVwKoD+A0QBGEdHynu0dBWBXAHsB+AGAnwN4iy2/AcDGAIYCGARgJoCHiagXABDRxpV1rqrs7z4AZ/EdENF2AG4F8GcAawMYDmAYgHNz/XJBEIQ2hZSSvCJ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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "N=500\n", - "r0_conv = np.convolve(r0, np.ones(N)/N, mode='valid')\n", - "r1_conv = np.convolve(r1, np.ones(N)/N, mode='valid')\n", - "fig = plt.figure(figsize=(12,8))\n", - "plt.plot(range(1, len(r0_conv)+1), r0_conv, color='b', label='player0')\n", - "plt.plot(range(1, len(r1_conv)+1), r1_conv, color='r', label='player1')\n", - "plt.legend()\n", - "plt.xlabel('episode')\n", - "plt.ylabel('reward')\n", - "plt.grid(True,'major',linestyle='-',linewidth=0.5)\n", - "plt.grid(True,'minor',linestyle='--',linewidth=0.25) \n", - "plt.title(r'SARSA against SARSA (first to play advantage?)')\n", - "plt.show()" - ] - }, - { - "cell_type": "code", - "execution_count": 14, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Q-table\n" - ] - }, - { - "data": { - "text/html": [ - "
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"env = NimEnv(heaps)\n", - "agent = agents[1]\n", - "print('The environment at beginning is:', end=' ')\n", - "env.render(simple=True)\n", - "done = False\n", - "\n", - "while not done:\n", - " action = agent.exploit(heaps)\n", - " heaps, winner, reward, done, turn = env.step(action)\n", - " print('agent took action ', action)\n", - " env.render(simple=True)\n", - " if done:\n", - " break\n", - " entry = input('enter [heap, n_objects]: ')\n", - " move = [int(entry[0]), int(entry[2])]\n", - " heaps, winner, reward, done, turn = env.step(move)\n", - " print('you took action ', move)\n", - " env.render(simple=True)\n", - " # print('\\n')\n", - " # print('\\n')\n", - " # print(f\"player {turn['next_turn']} turn\")\n", - " \n", - "\n", - "# print('\\nHere is the reward: ', reward)\n", - "winner = 'agent' if winner == 0 else 'you'\n", - "print(f'{winner} win(s)!')" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### Old" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "num_episodes = 500\n", - "num_seed = 10\n", - "heaps = random.sample(range(1, 8), 3)\n", - "env = NimEnv(heaps)\n", - "\n", - "\n", - "def run_experiment(env, num_episodes):\n", - " player0_rewards = []\n", - " player1_rewards = []\n", - " agent = [RLAgent(), RLAgent()] # agents for player 0,1\n", - " # agent = RLAgent() # player 0 plays against e-greedy optimal policy\n", - " # agent0 = RLAgent() # RL agent for player 0\n", - " # agent1 = RLAgent() # RL agent for player 1\n", - " actions = [None, None]\n", - " reward = [None, None]\n", - "\n", - " for episode in tqdm(range(1, num_episodes+1)):\n", - " player0_episode_reward = []\n", - " player1_episode_reward = []\n", - "\n", - " for seed in range(num_seed):\n", - " heaps = env.reset(seed) # fixed seeds to evaluate performance on same set of initial conditions\n", - " env = NimEnv(heaps)\n", - " winner = None\n", - " done = False\n", - " old_heaps = None\n", - " turn = 0\n", - " next_turn = None\n", - " action[0] = agent[0].decide(heaps)\n", - " while not done:\n", - " # print(heaps)\n", - " # print(action)\n", - " next_heaps = None\n", - " nextnext_heaps = None\n", - " next_heaps, winner, reward0, done, next_turn = env.step(action0) # agent0 takes action a\n", - " if done:\n", - " agent[turn].learn(heaps, action[turn], reward[turn][0])\n", - " if old_heaps is not None:\n", - " agent[next_turn].learn(old_heaps, action1, reward[turn][1])\n", - " break\n", - " action1 = agent1.decide(next_heaps)\n", - " nextnext_heaps, winner, reward1, done, _ = env.step(action1) # agent1 takes action a'\n", - " if done:\n", - " agent0.learn(heaps, action0, reward1[0])\n", - " agent1.learn(next_heaps, action1, reward1[1])\n", - " break\n", - " next_action0 = agent0.decide(nextnext_heaps)\n", - " next3_heaps, winner, reward0, done, _ = env.step(next_action0)\n", - " agent0.learn(heaps, action0, reward0[0], nextnext_heaps, next_action0)\n", - " if done:\n", - " agent1.learn(next_heaps, action1, reward0[1])\n", - " break\n", - " next_action1 = agent1.decide(next3_heaps)\n", - " agent1.learn(next_heaps, action1, reward1[1], next3_heaps, next_action1)\n", - " next4_heaps, winner, reward1, done, _ = env.step(next_action1)\n", - " if done:\n", - " agent0.learn(nextnext_heaps, next_action0, reward1[0])\n", - " agent1.learn(next3_heaps, next_action1, reward1[1])\n", - " break\n", - " nextnext_action0 = agent0.decide(next4_heaps)\n", - "\n", - " old_heaps = next3_heaps.copy()\n", - " action1 = next_action1.copy()\n", - " heaps = next4_heaps.copy()\n", - " action0 = nextnext_action0.copy()\n", - "\n", - " if winner == 0:\n", - " player0_episode_reward.append(1) \n", - " player1_episode_reward.append(-1) \n", - " else: # if winner == 1 \n", - " player0_episode_reward.append(-1)\n", - " player1_episode_reward.append(1) \n", - " \n", - " player0_rewards.append(np.mean(player0_episode_reward)) \n", - " player1_rewards.append(np.mean(player1_episode_reward)) \n", - " return player0_rewards, player1_rewards, agent\n" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "num_episodes = 5000\n", - "num_seed = 100\n", - "heaps = random.sample(range(1, 8), 3)\n", - "env = NimEnv(heaps)\n", - "\n", - "\n", - "def run_experiment(env, num_episodes):\n", - " player0_rewards = []\n", - " player1_rewards = []\n", - " # agent = [RLAgent(), RLAgent()] # agents for player 0,1\n", - " agent = RLAgent() # player 0 plays against e-greedy optimal policy\n", - " # agent0 = RLAgent() # RL agent for player 0\n", - " # agent1 = RLAgent() # RL agent for player 1\n", - "\n", - " for episode in tqdm(range(1, num_episodes+1)):\n", - " player0_episode_reward = []\n", - " player1_episode_reward = []\n", - "\n", - " for seed in range(num_seed):\n", - " heaps = env.reset(seed) # fixed seeds to evaluate performance on same set of initial conditions\n", - " #heaps = [7,7,7]\n", - " env = NimEnv(heaps)\n", - " winner = None\n", - " done = False\n", - " action = agent.decide(heaps)\n", - " while not done:\n", - " # print(heaps)\n", - " # print(action)\n", - " next_heaps = None\n", - " nextnext_heaps = None\n", - " next_heaps, winner, rewards, done, _ = env.step(action)\n", - " if done:\n", - " agent.learn(heaps, action, rewards[0])\n", - " break\n", - " adv_action = optimal_policy(next_heaps, randomness=0.2)\n", - " # print('nextheaps1=', next_heaps)\n", - " # print('adv_action=', adv_action)\n", - " nextnext_heaps, winner, adv_reward, done, _ = env.step(adv_action)\n", - " if done:\n", - " agent.learn(heaps, action, adv_reward[0]) #adv_reward[0]\n", - " break\n", - " nextnext_action = agent.decide(nextnext_heaps)\n", - " # print(f'Q({heaps}, {action}) = ', agent.getQ(heaps, action))\n", - " agent.learn(heaps, action, rewards[0], nextnext_heaps, nextnext_action)\n", - " # print('Q(heaps, action) = ', agent.getQ(heaps, action))\n", - "\n", - " heaps = nextnext_heaps.copy()\n", - " action = nextnext_action.copy()\n", - "\n", - " if winner == 0:\n", - " player0_episode_reward.append(1) \n", - " player1_episode_reward.append(-1) \n", - " else: # if winner == 1 \n", - " player0_episode_reward.append(-1)\n", - " player1_episode_reward.append(1) \n", - " \n", - " player0_rewards.append(np.mean(player0_episode_reward)) \n", - " player1_rewards.append(np.mean(player1_episode_reward)) \n", - " return player0_rewards, player1_rewards, agent\n" - ] - } - ], - "metadata": { - "interpreter": { - "hash": "4369559244255f10d34bca352df9b3f8794934e60b17f3451fa3b0f2f96527a8" - }, - "kernelspec": { - "display_name": "Python 3.8.8 64-bit ('base': conda)", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.8.8" - }, - "orig_nbformat": 4 - }, - "nbformat": 4, - "nbformat_minor": 2 -} diff --git a/nim_env.py b/nim_env.py index e5dbaf4..d607907 100644 --- a/nim_env.py +++ b/nim_env.py @@ -1,89 +1,91 @@ import random class NimEnv(): - def __init__(self, ini_state): + def __init__(self, ini_state, firstplayer=0): self.n_heap = 3 self.n_agents = 2 - self.player_0_turn = True # if false, then it is the turn of player 1 + self.player_0_turn = (firstplayer == 0) # if false, then it is the turn of player 1 self.winner = None if not isinstance(ini_state, list): raise TypeError else: - self.ini_heaps = ini_state - self.heaps = ini_state + self.ini_heaps = ini_state.copy() + self.heaps = ini_state.copy() self.heap_avail = [True, True, True] self.heap_keys = ['1', '2', '3'] def step(self, action): """ step method takin an action as input Parameters ---------- action : list(int) action[0] = 1, 2, 3 is the selected heap to take from action[1] is the number of objects to take from the heap Returns ------- getObservation() State space (printable). reward : tuple (0,0) when not in final state, +1 for winner and -1 for loser otherwise. done : bool is the game finished. dict dunno. """ # extracting integer values h: heap id, n: nb objects to take h, n = map(int, action) assert self.heap_avail[h-1], "The selected heap is already empty" assert n >= 1, "You must take at least 1 object from the heap" assert n <= self.heaps[h-1], "You cannot take more objects than there are in the heap" self.heaps[h-1] -= n # core of the action if self.heaps[h-1] == 0: self.heap_avail[h-1] = False reward = (0, 0) done = False if self.heap_avail.count(True) == 0: done = True if self.player_0_turn: reward = (1, -1) self.winner = 0 else: reward = (-1, 1) self.winner = 1 - + self.player_0_turn = not self.player_0_turn - return self.heaps.copy(), self.winner, reward, done, 0 if self.player_0_turn else 1 + next_turn = 0 if self.player_0_turn else 1 + next_heaps = self.heaps[:] + return next_heaps, self.winner, reward, done, next_turn def reset(self, seed=None): if seed is not None: random.seed(seed) self.heaps = random.sample(range(1, 8), 3) self.heap_avail = [True, True, True] self.player_0_turn = True self.winner = None - return self.heaps + return self.heaps.copy() def render(self, simple=False): if simple: print(self.heaps) else: print (u'\u2500'*35) for i in range(len(self.heaps)): print("Heap {}: {:15s} \t ({})".format(self.heap_keys[i], "|" * self.heaps[i], self.heaps[i])) print (u'\u2500'*35) diff --git a/reinforce.ipynb b/reinforce.ipynb new file mode 100644 index 0000000..724a822 --- /dev/null +++ b/reinforce.ipynb @@ -0,0 +1,625 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "from nim_env import NimEnv\n", + "from utils import compute_nim_sum, optimal_policy, random_policy, evaluate_fixed_opt, evaluate_fixed_random, evaluate, view_Q_table\n", + "import random\n", + "import matplotlib.pyplot as plt\n", + "import numpy as np\n", + "import math\n", + "# from agent import RLAgent\n", + "from sarsa import RLAgent\n", + "from sarsa_lambda import SARSA_LAMBDA\n", + "from montecarlo import MonteCarlo\n", + "from tqdm import tqdm\n", + "import pandas as pd\n", + "pd.options.display.float_format = '{:,.3f}'.format\n", + "\n", + "# plt figure setup\n", + "from matplotlib import rc\n", + "\n", + "plt.rc('axes', labelsize=14) # fontsize of the x and y labels\n", + "plt.rc('axes', titlesize=14)\n", + "plt.rc('xtick', labelsize=13) # fontsize of the tick labels\n", + "plt.rc('ytick', labelsize=13)\n", + "plt.rc('legend', fontsize=14) # legend fontsize\n", + "plt.rc('figure', titlesize=14) # fontsize of the figure title\n", + "plt.rc('lines', markersize=7)\n", + "plt.rc('lines', linewidth=3)" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "import tensorflow as tf\n", + "from tensorflow import keras\n", + "# from tensorflow_probability.distributions import Beta\n", + "from keras.models import Sequential\n", + "from keras.layers import Dense, Lambda, Multiply, Activation\n", + "from tensorflow.keras.optimizers import Adam\n", + "from keras import backend as K" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 3, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "tf.linalg.diag([0.,1.,1.])*tf.constant([2.0, 3.0, 4.0])" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "class NNAgent(object):\n", + " \n", + " def __init__(self, policy_learning_rate, gamma=0.9, baseline=None, entropy_cost=0, max_ent_cost=0, num_layers=1):\n", + " \n", + " self.plr = policy_learning_rate\n", + " self.gamma = gamma\n", + " self.entropy_cost = entropy_cost\n", + " self.max_ent_cost = max_ent_cost\n", + " self.num_layers = num_layers\n", + " \n", + " self.actions = self._build_actions(max_obj=7)\n", + " self.actions_n = [self.action_to_output(a) for a in self.actions]\n", + " #These lists stores the cumulative observations for this episode\n", + " self.episode_observations, self.episode_actions, self.episode_rewards, self.episode_masks = [], [], [], []\n", + "\n", + " #Build the keras network\n", + " self.model = self._build_network()\n", + "\n", + " def observe(self, state, action, reward):\n", + " state_ = tf.constant(state)\n", + " self.episode_observations.append(state)\n", + " self.episode_masks.append(self.get_mask(state))\n", + " self.episode_actions.append(self.action_to_output(action))\n", + " self.episode_rewards.append(reward)\n", + "\n", + " def _build_actions(self, max_obj):\n", + " actions=[]\n", + " for i in range(1,4):\n", + " for j in range(1,max_obj+1):\n", + " actions.append((i,j))\n", + " \n", + " return actions\n", + "\n", + " def get_mask(self, state):\n", + " elig_actions = self.get_elig_action(state, encoding='n')\n", + " elig_indices = [a-1 for a in elig_actions]\n", + " #return np.asarray([1. if i in elig_indices else 0. for i in range(21)]).astype('float64')\n", + " #return tf.constant([1. if i in elig_indices else 0. for i in range(21)])\n", + " return [1. if i in elig_indices else 0. for i in range(21)]\n", + " \n", + " def decide(self, state):\n", + " elig_actions = self.get_elig_action(state, encoding='n')\n", + " elig_indices = [a-1 for a in elig_actions]\n", + " mask_ = np.array([1. if i in elig_indices else 0. for i in range(21)])\n", + " state_ = np.asarray(state).reshape(1,3)\n", + " distrib = self.model([state_, mask_]).numpy().reshape(-1).astype('float64')\n", + " # elig_distrib = distrib[elig_indices]\n", + " # if elig_distrib.sum() != 0:\n", + " # elig_distrib = elig_distrib/elig_distrib.sum()\n", + " # action = np.random.choice(elig_actions, p=elig_distrib)\n", + " # else:\n", + " # action = np.random.choice(elig_actions)\n", + " distrib /= distrib.sum()\n", + " action = np.random.choice(self.actions_n, p=distrib)\n", + " return self.output_to_action(action)\n", + "\n", + " def exploit(self, state):\n", + " elig_actions = self.get_elig_action(state, encoding='n')\n", + " elig_indices = [a-1 for a in elig_actions]\n", + " mask_ = np.array([1. if i in elig_indices else 0. for i in range(21)])\n", + " state_ = np.asarray(state).reshape(1,3)\n", + " distrib = self.model([state_, mask_]).numpy().reshape(-1).astype('float64')\n", + "\n", + " # elig_distrib = distrib[elig_indices]\n", + " i = np.argmax(distrib)\n", + "\n", + " return self.output_to_action(self.actions_n[i])\n", + "\n", + " def train(self):\n", + " \"\"\" When this function is called, the accumulated episode observations, actions and discounted rewards\n", + " should be fed into the network and used for training. Use the _get_returns function to first turn \n", + " the episode rewards into discounted returns. \n", + " Apply simple or adaptive baselines if needed, depending on parameters.\"\"\"\n", + " action = self.episode_actions\n", + " n = len(action)\n", + " self.episode_observations = np.asarray(self.episode_observations)\n", + " self.episode_masks = np.asarray(self.episode_masks)\n", + " observations = [self.episode_observations, self.episode_masks]\n", + " output = np.zeros((n,21))\n", + " g = np.asarray(self._get_returns())#.reshape(-1,1)\n", + " # print(f'{g=}')\n", + " for i in range(n): \n", + " output[i,action[i]-1] = 1\n", + " weights = np.asarray([(1)*g[i] * self.gamma**i for i in range(n)])\n", + " # print(f'{weights=}')\n", + " self.model.train_on_batch(observations, output, sample_weight=weights)\n", + " self.episode_actions = []\n", + " self.episode_observations = []\n", + " self.episode_rewards = []\n", + " self.episode_masks = []\n", + "\n", + " def _get_returns(self):\n", + " # Goes from self.episode_rewards = [r1, ... rT]\n", + " # to returns = [..., rt-2 + gamma*rt-1 + gamma^2*rt, rt-1 + gamma*rt, rt]\n", + " returns = [self.episode_rewards[-1]]\n", + " for reward in reversed(self.episode_rewards[:-1]):\n", + " returns.insert(0, reward + self.gamma*returns[0])\n", + " return returns\n", + "\n", + " def output_to_action(self, n):\n", + " #n = 1 -> [1, 1] \n", + " #n = 7 -> [1, 7]\n", + " #n = 8 -> [2, 1]\n", + " #n = 14 -> [2, 7]\n", + " #n = 15 -> [3, 1]\n", + " #n = 21 -> [3, 7]\n", + " heap = math.ceil(n/7)\n", + " n_obj = 7 if n%7 == 0 else n%7\n", + " return [heap, n_obj]\n", + "\n", + " def action_to_output(self, action):\n", + " heap, n_obj = action\n", + " return (heap-1)*7 + n_obj\n", + "\n", + " def get_elig_action(self, state, encoding='heap'):\n", + " if encoding == 'heap':\n", + " return [a for a in self.actions if state[a[0]-1] >= a[1]]\n", + " elif encoding == 'n':\n", + " return [self.action_to_output(a) for a in self.actions if state[a[0]-1] >= a[1]]\n", + "\n", + "\n", + " def _build_network(self):\n", + " \"\"\" This function should build the network that can then be called by decide and train. \n", + " The network takes observations as inputs and has a policy distribution as output.\"\"\"\n", + " act = \"relu\" # ReLU activation function\n", + " loss = \"categorical_crossentropy\" # Keras built-in \"categorical cross-entropy\" loss\n", + " init_kr ='glorot_uniform'\n", + " input_dim = 3 # 8-dimensional state space as input\n", + " out_dim = 21 # softmax distribution over the 4 discrete actions\n", + " optimizer = keras.optimizers.Adam(learning_rate = self.plr)\n", + " # model = Sequential()\n", + " # model.add(keras.Input(shape=(input_dim,)))\n", + " # # for i in range(self.num_layers):\n", + " # # model.add(Dense(16, activation = act, name = \"hidden\"+str(i+1), kernel_initializer= init_kr))\n", + " # # model.add(Dense(out_dim, activation = \"softmax\", name = \"output\", kernel_initializer= init_kr))\n", + " \n", + " # # mask = keras.Input(shape=(21, 21), dtype='float32', name='mask')\n", + " # # tf.linalg.diag([0.,1.,1.])\n", + " # # model.add(tf.keras.layers.Masking(mask_value=0., input_shape=(out_dim,)))\n", + " # # mask = tf.not_equal(inputs, 0.)\n", + " # # with_masking = tf.keras.layers.Softmax()(inputs, mask=mask)\n", + " # model.compile(loss = loss, optimizer = optimizer)\n", + " input = keras.Input(shape=(input_dim,), name='heaps')\n", + " mask = keras.Input(shape=(out_dim,), name='mask')\n", + " if self.num_layers == 1:\n", + " x = Dense(16, activation=act, name='hidden', kernel_initializer= init_kr)(input)\n", + " x = Dense(out_dim, name='pre-masking', kernel_initializer= init_kr)(x)\n", + " elif self.num_layers == 0:\n", + " x = Dense(out_dim, name='pre-masking', kernel_initializer= init_kr)(input)\n", + "\n", + " # either this way\n", + " x = Activation('softmax')(x)\n", + " output = Multiply()([x, mask])\n", + "\n", + " # or this way (https://stackoverflow.com/questions/65745053/tensorflow-softmax-does-not-ignore-masking-value)\n", + " # x = Multiply()([x, mask])\n", + " # x = tf.where(x!=0, x, tf.float64.min)\n", + " # output = Activation('softmax')(x)\n", + "\n", + " model = keras.Model([input, mask], output)\n", + " model.compile(loss = loss, optimizer = optimizer)\n", + "\n", + " return model" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21]" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "plr = 0.001\n", + "a = NNAgent(policy_learning_rate = plr, num_layers=1)\n", + "\n", + "#a.decide([0,0,7])\n", + "state = np.asarray([6,8,7]).reshape(1,3)\n", + "mask = np.array([1,0,1]*7)\n", + "\n", + "a.model([state, mask]).numpy().reshape(-1).astype('float64')\n", + "a.actions_n" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Model: \"model\"\n", + "__________________________________________________________________________________________________\n", + " Layer (type) Output Shape Param # Connected to \n", + "==================================================================================================\n", + " heaps (InputLayer) [(None, 3)] 0 [] \n", + " \n", + " hidden (Dense) (None, 16) 64 ['heaps[0][0]'] \n", + " \n", + " pre-masking (Dense) (None, 21) 357 ['hidden[0][0]'] \n", + " \n", + " activation (Activation) (None, 21) 0 ['pre-masking[0][0]'] \n", + " \n", + " mask (InputLayer) [(None, 21)] 0 [] \n", + " \n", + " multiply (Multiply) (None, 21) 0 ['activation[0][0]', \n", + " 'mask[0][0]'] \n", + " \n", + "==================================================================================================\n", + "Total params: 421\n", + "Trainable params: 421\n", + "Non-trainable params: 0\n", + "__________________________________________________________________________________________________\n" + ] + } + ], + "source": [ + "a.model.summary()" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [], + "source": [ + "heaps = [7,7,7]\n", + "env = NimEnv(heaps)\n", + "\n", + "\n", + "def run_reinforce_experiment(env, num_episodes, plr=0.001, nlayers=1, which=\"optimal\", alpha=0.02, gamma=0.9, opt_noise=None):\n", + " player0_rewards = {\"vs_opt\": [],\n", + " \"vs_random\": [], \n", + " \"vs_opt_02\": []}\n", + " agent0 = NNAgent(policy_learning_rate = plr, num_layers=nlayers)\n", + "\n", + " # Defining the fixed policy to play against\n", + " if which == \"optimal\":\n", + " if opt_noise is not None:\n", + " fixed_policy = lambda heaps: optimal_policy(heaps, randomness=opt_noise)\n", + " else:\n", + " fixed_policy = lambda heaps: optimal_policy(heaps, randomness=0.2)\n", + " elif which == \"random\":\n", + " fixed_policy = lambda heaps: random_policy(heaps)\n", + "\n", + " for episode in tqdm(range(1, num_episodes+1)):\n", + " heaps = env.reset() \n", + " env = NimEnv(heaps)\n", + " \n", + " winner = None\n", + " done = False\n", + "\n", + " \n", + " action = None\n", + " reward = None\n", + "\n", + " while not done:\n", + " action = agent0.decide(heaps)\n", + "\n", + " next_heaps, winner, reward, done, _ = env.step(action)\n", + " if done:\n", + " agent0.observe(heaps, action, reward[0])\n", + " agent0.train()\n", + " # print('here')\n", + " break\n", + " \n", + " adv_action = optimal_policy(next_heaps, randomness=0.2)\n", + " nextnext_heaps, winner, adv_reward, done, _ = env.step(adv_action)\n", + " if done:\n", + " agent0.observe(heaps, action, adv_reward[0])\n", + " agent0.train()\n", + " break\n", + "\n", + " agent0.observe(heaps, action, reward[0])\n", + "\n", + " heaps = nextnext_heaps[:]\n", + "\n", + " r0 = evaluate_fixed_opt(agent0, 10, randomness=0.2, alwaysfirst=False)\n", + " player0_rewards[\"vs_opt_02\"].append(r0)\n", + "\n", + " r1 = evaluate_fixed_opt(agent0, 10, randomness=0.0, alwaysfirst=False)\n", + " player0_rewards[\"vs_opt\"].append(r1) \n", + "\n", + " r2 = evaluate_fixed_random(agent0, 10)\n", + " player0_rewards[\"vs_random\"].append(r2)\n", + " \n", + " return player0_rewards, agent0" + ] + }, + { + "cell_type": "code", + "execution_count": 109, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([-0.9801, -0.9801, -0.9801])" + ] + }, + "execution_count": 109, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "g=np.array([-0.9801, -0.99 , -1.])\n", + "n=3\n", + "gamma = 0.99\n", + "np.asarray([g[i] * gamma**i for i in range(n)])" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "100%|██████████| 1000/1000 [02:50<00:00, 5.87it/s]\n" + ] + } + ], + "source": [ + "num_episodes = 1000\n", + "player0_rewards, agent0 = run_reinforce_experiment(env, num_episodes, plr=0.1, nlayers=0)" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "r0 = player0_rewards[\"vs_opt\"]\n", + "r1 = player0_rewards[\"vs_opt_02\"]\n", + "r2 = player0_rewards[\"vs_random\"]\n", + "N=100\n", + "r0_conv = np.convolve(r0, np.ones(N)/N, mode='valid')\n", + "r1_conv = np.convolve(r1, np.ones(N)/N, mode='valid')\n", + "r2_conv = np.convolve(r2, np.ones(N)/N, mode='valid')\n", + "fig = plt.figure(figsize=(12,6))\n", + "plt.plot(range(1, len(r0_conv)+1), r0_conv, color='b', label='vs optimal')\n", + "plt.plot(range(1, len(r1_conv)+1), r1_conv, color='r', label=r'vs optimal ($\\epsilon=0.2$)')\n", + "plt.plot(range(1, len(r2_conv)+1), r2_conv, color='g', label='vs random')\n", + "plt.legend()\n", + "plt.xlabel('episode')\n", + "plt.ylabel('reward')\n", + "plt.grid(True,'major',linestyle='-',linewidth=0.5)\n", + "plt.grid(True,'minor',linestyle='--',linewidth=0.25) \n", + "plt.title(r'REINFORCE trained against $\\epsilon$-greedy optimal policy ($\\epsilon=0.2$)')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# off policy test" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": {}, + "outputs": [], + "source": [ + "heaps = [7,7,7]\n", + "env = NimEnv(heaps)\n", + "\n", + "\n", + "def run_reinforce_offpolicy(env, num_episodes, plr=0.001, nlayers=1, which=\"optimal\", alpha=0.02, gamma=0.9, opt_noise=None):\n", + " player0_rewards = {\"vs_opt_1\": [],\n", + " \"vs_random\": [], \n", + " \"vs_opt_12\": []}\n", + " agent0 = NNAgent(policy_learning_rate = plr, num_layers=nlayers)\n", + "\n", + " # Defining the fixed policy to play against\n", + " if which == \"optimal\":\n", + " if opt_noise is not None:\n", + " fixed_policy = lambda heaps: optimal_policy(heaps, randomness=opt_noise)\n", + " else:\n", + " fixed_policy = lambda heaps: optimal_policy(heaps, randomness=0.2)\n", + " elif which == \"random\":\n", + " fixed_policy = lambda heaps: random_policy(heaps)\n", + "\n", + " for episode in tqdm(range(1, num_episodes+1)):\n", + " heaps = env.reset() \n", + " env = NimEnv(heaps)\n", + " \n", + " winner = None\n", + " done = False\n", + "\n", + " \n", + " action = None\n", + " reward = None\n", + "\n", + " while not done:\n", + " action = optimal_policy(heaps, randomness=0.2)\n", + "\n", + " next_heaps, winner, reward, done, _ = env.step(action)\n", + " if done:\n", + " agent0.observe(heaps, action, reward[0])\n", + " agent0.train()\n", + " break\n", + " \n", + " adv_action = optimal_policy(next_heaps, randomness=0.2)\n", + " nextnext_heaps, winner, adv_reward, done, _ = env.step(adv_action)\n", + " if done:\n", + " agent0.observe(heaps, action, adv_reward[0])\n", + " agent0.train()\n", + " break\n", + "\n", + " agent0.observe(heaps, action, reward[0])\n", + "\n", + " heaps = nextnext_heaps[:]\n", + "\n", + " r0 = evaluate_fixed_opt(agent0, 10, randomness=0.2, alwaysfirst=True)\n", + " player0_rewards[\"vs_opt_1\"].append(r0)\n", + "\n", + " r1 = evaluate_fixed_opt(agent0, 10, randomness=0.2, alwaysfirst=False)\n", + " player0_rewards[\"vs_opt_12\"].append(r1) \n", + "\n", + " r2 = evaluate_fixed_random(agent0, 10)\n", + " player0_rewards[\"vs_random\"].append(r2)\n", + " \n", + " return player0_rewards, agent0" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "100%|██████████| 5000/5000 [09:51<00:00, 8.45it/s]\n" + ] + } + ], + "source": [ + "num_episodes = 5_000\n", + "player0_rewards, agent0 = run_reinforce_offpolicy(env, num_episodes, plr=0.005, nlayers=0)" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "r0 = player0_rewards[\"vs_opt_1\"]\n", + "r1 = player0_rewards[\"vs_opt_12\"]\n", + "r2 = player0_rewards[\"vs_random\"]\n", + "N=100\n", + "r0_conv = np.convolve(r0, np.ones(N)/N, mode='valid')\n", + "r1_conv = np.convolve(r1, np.ones(N)/N, mode='valid')\n", + "r2_conv = np.convolve(r2, np.ones(N)/N, mode='valid')\n", + "fig = plt.figure(figsize=(12,6))\n", + "plt.plot(range(1, len(r0_conv)+1), r0_conv, color='b', label='vs optimal(0.2) (alwaysfirst)')\n", + "plt.plot(range(1, len(r1_conv)+1), r1_conv, color='r', label='vs optimal(0.2) (notalwaysfirst)')\n", + "plt.plot(range(1, len(r2_conv)+1), r2_conv, color='g', label='vs random(0.2) (notalwaysfirst)')\n", + "plt.legend()\n", + "plt.xlabel('episode')\n", + "plt.ylabel('reward')\n", + "plt.grid(True,'major',linestyle='-',linewidth=0.5)\n", + "plt.grid(True,'minor',linestyle='--',linewidth=0.25) \n", + "plt.title(r'SARSA($\\lambda$) trained against $\\epsilon$-greedy optimal policy ($\\epsilon=0.2$)')\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "interpreter": { + "hash": "4369559244255f10d34bca352df9b3f8794934e60b17f3451fa3b0f2f96527a8" + }, + "kernelspec": { + "display_name": "Python 3.8.8 64-bit ('base': conda)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.8.8" + }, + "orig_nbformat": 4 + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/sarsa.py b/sarsa.py index e8e99dd..1d65073 100644 --- a/sarsa.py +++ b/sarsa.py @@ -1,84 +1,83 @@ import random import pandas as pd import numpy as np class RLAgent(object): def __init__(self, ini_q=0.0, epsilon=0.1, alpha=0.2, gamma=0.9): self.q = self.initQ(ini_q) self.epsilon = epsilon self.alpha = alpha self.gamma = gamma def getQ(self, state, action): state = tuple(state) action = tuple(action) - return self.q[action][state] + return self.q[action][state].copy() def setQ(self, state, action, val): state = tuple(state) action = tuple(action) self.q[action][state] = val def initQ(self, ini_q, max_obj=7): actions=[] for i in range(1,4): for j in range(1,max_obj+1): actions.append((i,j)) self.actions = actions q = pd.DataFrame(columns=actions, dtype=np.float64) for i in range(0,max_obj+1): for j in range(0,max_obj+1): for k in range(0,max_obj+1): q = q.append(pd.Series([ini_q]*len(actions), index=q.columns, name=(i,j,k))) return q def learnQ(self, state, action, value): oldv = self.getQ(state, action) newv = oldv + self.alpha * (value - oldv) self.setQ(state, action, newv) def decide(self, state): elig_actions = [a for a in self.actions if state[a[0]-1] >= a[1]] if random.random() < self.epsilon: action = random.choice(elig_actions) else: q = [self.getQ(state, a) for a in self.actions if state[a[0]-1] >= a[1]] maxQ = max(q) count = q.count(maxQ) if count > 1: best = [i for i in range(len(elig_actions)) if q[i] == maxQ] i = random.choice(best) else: i = q.index(maxQ) action = elig_actions[i] - return list(action) + return list(action).copy() def exploit(self, state): elig_actions = [a for a in self.actions if state[a[0]-1] >= a[1]] q = [self.getQ(state, a) for a in self.actions if state[a[0]-1] >= a[1]] maxQ = max(q) count = q.count(maxQ) if count > 1: best = [i for i in range(len(elig_actions)) if q[i] == maxQ] i = random.choice(best) else: i = q.index(maxQ) action = elig_actions[i] - return list(action) + return list(action).copy() def learn(self, state1, action1, reward, state2=[0,0,0], action2=None): - # print('learning') if state2 == [0, 0, 0]: qnext = 0.0 # terminal state else: qnext = self.getQ(state2, action2) self.learnQ(state1, action1, reward + self.gamma * qnext) diff --git a/train_mc.ipynb b/train_mc.ipynb index a5134e7..96cbec9 100644 --- a/train_mc.ipynb +++ b/train_mc.ipynb @@ -1,204 +1,204 @@ { "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "from nim_env import NimEnv\n", "from utils import compute_nim_sum, optimal_policy, random_policy\n", "import random\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "from sarsa import RLAgent\n", "from sarsa_lambda import SARSA_LAMBDA\n", "from montecarlo import MonteCarlo\n", "from tqdm import tqdm\n", "import pandas as pd\n", "pd.options.display.float_format = '{:,.3f}'.format\n", "\n", "# plt figure setup\n", "from matplotlib import rc\n", "\n", "plt.rc('axes', labelsize=14) # fontsize of the x and y labels\n", "plt.rc('axes', titlesize=14)\n", "plt.rc('xtick', labelsize=13) # fontsize of the tick labels\n", "plt.rc('ytick', labelsize=13)\n", "plt.rc('legend', fontsize=14) # legend fontsize\n", "plt.rc('figure', titlesize=14) # fontsize of the figure title\n", "plt.rc('lines', markersize=7)\n", "plt.rc('lines', linewidth=2)" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "import random\n", "\n", "def evaluate_fixed(agent, N):\n", " player0_ep_rewards = [0]*N\n", " player1_ep_rewards = [0]*N\n", " for i in range(N):\n", " done = False\n", " heaps = random.sample(range(1, 8), 3)\n", " env = NimEnv(heaps)\n", " turn = 0\n", " while not done:\n", " action = agent.decide(heaps)\n", " next_heaps, winner, reward, done, turn = env.step(action)\n", " if done:\n", " break\n", " adv_action = optimal_policy(next_heaps, randomness=0.2)\n", " nextnext_heaps, winner, adv_reward, done, _ = env.step(adv_action)\n", " heaps = nextnext_heaps\n", "\n", "\n", " if winner == 0:\n", " player0_ep_rewards.append(1) \n", " player1_ep_rewards.append(-1) \n", " else: # if winner == 1 \n", " player0_ep_rewards.append(-1)\n", " player1_ep_rewards.append(1) \n", "\n", " return np.mean(player0_ep_rewards), np.mean(player1_ep_rewards)" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "heaps = [7,7,7]\n", "env = NimEnv(heaps)\n", "\n", "\n", "def run_experiment(env, num_episodes):\n", " player0_rewards = []\n", " player1_rewards = []\n", " agent0 = MonteCarlo() # RL agent for player 0\n", " # agent1 = RLAgent() # RL agent for player 1\n", "\n", " for episode in tqdm(range(1, num_episodes+1)):\n", " heaps = env.reset() \n", " env = NimEnv(heaps)\n", " \n", " winner = None\n", " done = False\n", "\n", " action = None\n", " reward = None\n", "\n", " while not done:\n", " action = agent0.decide(heaps)\n", " next_heaps, winner, reward, done, _ = env.step(action)\n", " agent0.append_state_actions(heaps, action)\n", " if done:\n", " agent0.learn(reward[0])\n", " break\n", " \n", " adv_action = optimal_policy(next_heaps, randomness=0.2)\n", " nextnext_heaps, winner, adv_reward, done, _ = env.step(adv_action)\n", " if done:\n", " agent0.learn(adv_reward[0])\n", " break\n", " \n", - " heaps = nextnext_heaps\n", + " heaps = nextnext_heaps[:]\n", "\n", " r0, r1 = evaluate_fixed(agent0, 10)\n", " player0_rewards.append(r0) \n", " player1_rewards.append(r1) \n", " \n", " return player0_rewards, player1_rewards, agent0" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|██████████| 50000/50000 [03:02<00:00, 274.60it/s]\n" ] } ], "source": [ "num_episodes = 50000\n", "r0, r1, agent = run_experiment(env, num_episodes)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "N=100\n", "r0_conv = np.convolve(r0, np.ones(N)/N, mode='valid')\n", "r1_conv = np.convolve(r1, np.ones(N)/N, mode='valid')\n", "fig = plt.figure(figsize=(12,8))\n", "plt.plot(range(1, len(r0_conv)+1), r0_conv, color='b', label='MC (player 0)')\n", "plt.plot(range(1, len(r1_conv)+1), r1_conv, color='r', label=r'Optimal ($\\epsilon = 0.2$)')\n", "plt.legend()\n", "plt.xlabel('episode')\n", "plt.ylabel('reward')\n", "plt.grid(True,'major',linestyle='-',linewidth=0.5)\n", "plt.grid(True,'minor',linestyle='--',linewidth=0.25) \n", "plt.title(r'MC against $\\epsilon$-greedy optimal policy')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "interpreter": { "hash": "4369559244255f10d34bca352df9b3f8794934e60b17f3451fa3b0f2f96527a8" }, "kernelspec": { "display_name": "Python 3.8.8 64-bit ('base': conda)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.8.8" }, "orig_nbformat": 4 }, "nbformat": 4, "nbformat_minor": 2 } diff --git a/train_sarsa.ipynb b/train_sarsa.ipynb new file mode 100644 index 0000000..1947e0a --- /dev/null +++ b/train_sarsa.ipynb @@ -0,0 +1,1389 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "from nim_env import NimEnv\n", + "from utils import compute_nim_sum, optimal_policy, random_policy, evaluate_fixed_opt, evaluate_fixed_random, evaluate, view_Q_table\n", + "import random\n", + "import matplotlib.pyplot as plt\n", + "import numpy as np\n", + "# from agent import RLAgent\n", + "from sarsa import RLAgent\n", + "from tqdm import tqdm\n", + "import pandas as pd\n", + "pd.options.display.float_format = '{:,.3f}'.format\n", + "\n", + "# plt figure setup\n", + "from matplotlib import rc\n", + "\n", + "plt.rc('axes', labelsize=14) # fontsize of the x and y labels\n", + "plt.rc('axes', titlesize=14)\n", + "plt.rc('xtick', labelsize=13) # fontsize of the tick labels\n", + "plt.rc('ytick', labelsize=13)\n", + "plt.rc('legend', fontsize=14) # legend fontsize\n", + "plt.rc('figure', titlesize=14) # fontsize of the figure title\n", + "plt.rc('lines', markersize=7)\n", + "plt.rc('lines', linewidth=2)\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "

\n", + " \"ny\"\n", + "

\n", + "
" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### SARSA agent against fixed policy (teacher)" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": {}, + "outputs": [], + "source": [ + "heaps = [7,7,7]\n", + "env = NimEnv(heaps)\n", + "\n", + "\n", + "def run_experiment_against_fixed(env, num_episodes, alpha=0.2, gamma=0.9):\n", + " player0_rewards = []\n", + " player0_rewards_alt = []\n", + " agent0 = RLAgent(ini_q=0.0, epsilon=0.1, alpha=alpha, gamma=gamma) # RL agent for player 0\n", + " # agent1 = RLAgent() # RL agent for player 1\n", + "\n", + " for episode in tqdm(range(1, num_episodes+1)):\n", + " heaps = env.reset() \n", + " env = NimEnv(heaps)\n", + " \n", + " winner = None\n", + " done = False\n", + "\n", + " action = None\n", + " reward = None\n", + " old_0 = (None, None) # old state/action for player0\n", + " old_reward = None\n", + " i = 0\n", + " while not done:\n", + " \n", + " action = agent0.decide(heaps)\n", + " next_heaps, winner, reward, done, _ = env.step(action)\n", + " if i > 0:\n", + " agent0.learn(old_0[0], old_0[1], old_reward, heaps, action)\n", + " if done:\n", + " agent0.learn(heaps, action, reward[0])\n", + " break\n", + " \n", + " adv_action = optimal_policy(next_heaps, randomness=0.2)\n", + " nextnext_heaps, winner, adv_reward, done, _ = env.step(adv_action)\n", + " if done:\n", + " agent0.learn(heaps, action, adv_reward[0])\n", + " break\n", + " \n", + " old_0 = heaps[:], action[:]\n", + " old_reward = adv_reward[0]\n", + " heaps = nextnext_heaps[:]\n", + " i += 1\n", + "\n", + " r0 = evaluate_fixed_opt(agent0, 10, randomness=0.2, alwaysfirst=True)\n", + " player0_rewards.append(r0)\n", + "\n", + " r1 = evaluate_fixed_opt(agent0, 10, randomness=0.2, alwaysfirst=False)\n", + " player0_rewards_alt.append(r1) \n", + " \n", + " return player0_rewards, player0_rewards_alt, agent0" + ] + }, + { + "cell_type": "code", + "execution_count": 40, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "100%|██████████| 10000/10000 [01:34<00:00, 105.77it/s]\n" + ] + } + ], + "source": [ + "num_episodes = 10_000\n", + "r0, r1, agent = run_experiment_against_fixed(env, num_episodes, alpha=0.2, gamma=0.99)" + ] + }, + { + "cell_type": "code", + "execution_count": 41, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n" + ], + "text/plain": [ + "" + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "view_Q_table(agent.q, 10)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### SARSA agent against another SARSA agent" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "heaps = [7,7,7]\n", + "env = NimEnv(heaps)\n", + "\n", + "\n", + "def run_experiment(env, num_episodes):\n", + " player0_rewards = []\n", + " player1_rewards = []\n", + " agent0 = RLAgent() # RL agent for player 0\n", + " agent1 = RLAgent() # RL agent for player 1\n", + "\n", + " for episode in tqdm(range(1, num_episodes+1)):\n", + " heaps = env.reset() \n", + " env = NimEnv(heaps)\n", + " \n", + " winner = None\n", + " done = False\n", + "\n", + " action = [None, None]\n", + " reward = [None, None]\n", + " old_0 = (None, None) # old state/action for player0\n", + " old_1 = (None, None) # old state/action for player1\n", + " old_reward = None\n", + " i = 0\n", + " while not done:\n", + " action[0] = agent0.decide(heaps)\n", + " next_heaps, winner, reward[0], done, _ = env.step(action[0])\n", + " if i > 0:\n", + " agent0.learn(old_0[0], old_0[1], old_reward[0], heaps, action[0])\n", + " if done:\n", + " agent0.learn(heaps, action[0], reward[0][0])\n", + " if i > 0:\n", + " agent1.learn(old_1[0], old_1[1], reward[0][1])\n", + " break\n", + " \n", + " action[1] = agent1.decide(next_heaps)\n", + " nextnext_heaps, winner, reward[1], done, _ = env.step(action[1])\n", + " if i > 0:\n", + " agent1.learn(old_1[0], old_1[1], old_reward[1], next_heaps, action[1])\n", + " if done:\n", + " agent0.learn(heaps, action[0], reward[1][0])\n", + " agent1.learn(next_heaps, action[1], reward[1][1])\n", + " break\n", + " \n", + "\n", + " old_0 = heaps[:], action[0][:]\n", + " old_1 = next_heaps[:], action[1][:]\n", + " old_reward = reward[1][:]\n", + " heaps = nextnext_heaps[:]\n", + " i += 1\n", + "\n", + " r0, r1 = evaluate([agent1, agent0], 10)\n", + " player0_rewards.append(r1) \n", + " player1_rewards.append(r0) \n", + " \n", + " return player0_rewards, player1_rewards, [agent0, agent1]\n" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [], + "source": [ + "heaps = [7,7,7]\n", + "env = NimEnv(heaps)\n", + "\n", + "\n", + "def run_experiment_rd_start(env, num_episodes):\n", + "\n", + " player0_rewards = {\"vs_other\": [],\n", + " \"vs_random\": [], \n", + " \"vs_opt\": []}\n", + " player1_rewards = {\"vs_other\": [],\n", + " \"vs_random\": [], \n", + " \"vs_opt\": []}\n", + " agent = [RLAgent(), RLAgent()]\n", + "\n", + " for episode in tqdm(range(1, num_episodes+1)):\n", + " heaps = env.reset() \n", + "\n", + " turn = 0 if random.random() < 0.5 else 1\n", + " env = NimEnv(heaps, firstplayer=turn)\n", + " \n", + " winner = None\n", + " done = False\n", + "\n", + " action = [None, None]\n", + " reward = [None, None]\n", + " old_0 = (None, None) # old state/action for player0\n", + " old_1 = (None, None) # old state/action for player1\n", + " old = [old_0, old_1]\n", + " old_reward = None\n", + " i = 0\n", + " while not done:\n", + " action[turn] = agent[turn].decide(heaps)\n", + " next_heaps, winner, reward[turn], done, next_turn = env.step(action[turn])\n", + "\n", + " if i > 0:\n", + " agent[turn].learn(old[turn][0], old[turn][1], old_reward[turn],\n", + " heaps, action[turn])\n", + " if done:\n", + " agent[turn].learn(heaps, action[turn], reward[turn][turn])\n", + " if i > 0:\n", + " agent[next_turn].learn(old[next_turn][0], old[next_turn][1], reward[turn][next_turn])\n", + " break\n", + " \n", + " turn = next_turn\n", + " action[turn] = agent[turn].decide(next_heaps)\n", + " nextnext_heaps, winner, reward[turn], done, next_turn = env.step(action[turn])\n", + " if i > 0:\n", + " agent[turn].learn(old[turn][0], old[turn][1], old_reward[turn], next_heaps, action[turn])\n", + " if done:\n", + " agent[next_turn].learn(heaps, action[next_turn], reward[turn][next_turn])\n", + " agent[turn].learn(next_heaps, action[turn], reward[turn][turn])\n", + " break\n", + " \n", + " turn, next_turn = next_turn, turn\n", + "\n", + " old[turn] = heaps[:], action[turn][:]\n", + " old[next_turn] = next_heaps[:], action[next_turn][:]\n", + " old_reward = reward[next_turn][:]\n", + " heaps = nextnext_heaps[:]\n", + " i += 1\n", + "\n", + " r0, r1 = evaluate([agent[0], agent[1]], 10)\n", + " player0_rewards[\"vs_other\"].append(r0) \n", + " player1_rewards[\"vs_other\"].append(r1)\n", + "\n", + " r0, _ = evaluate_fixed_random(agent[0], 10)\n", + " r1, _ = evaluate_fixed_random(agent[1], 10)\n", + " player0_rewards[\"vs_random\"].append(r0) \n", + " player1_rewards[\"vs_random\"].append(r1)\n", + "\n", + " r0 = evaluate_fixed_opt(agent[0], 10)\n", + " r1 = evaluate_fixed_opt(agent[1], 10)\n", + " player0_rewards[\"vs_opt\"].append(r0) \n", + " player1_rewards[\"vs_opt\"].append(r1) \n", + "\n", + " return player0_rewards, player1_rewards, [agent[0], agent[1]]\n" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "100%|██████████| 10000/10000 [02:39<00:00, 62.50it/s]\n" + ] + } + ], + "source": [ + "num_episodes = 10_000\n", + "player0_rewards, player1_rewards, agents = run_experiment_rd_start(env, num_episodes)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "view_Q_table(agents[1].q, 10)" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "N=500\n", + "\n", + "plt.figure(figsize=(24, 6))\n", + "#vs each other\n", + "# r0 = player0_rewards[\"vs_other\"]\n", + "# r1 = player1_rewards[\"vs_other\"]\n", + "# r0_conv = np.convolve(r0, np.ones(N)/N, mode='valid')\n", + "# r1_conv = np.convolve(r1, np.ones(N)/N, mode='valid')\n", + "# plt.subplot(131)\n", + "# plt.plot(range(1, len(r0_conv)+1), r0_conv, color='b', label='player0')\n", + "# plt.plot(range(1, len(r1_conv)+1), r1_conv, color='r', label='player1')\n", + "# plt.legend()\n", + "# plt.xlabel('episode')\n", + "# plt.ylabel('reward')\n", + "# plt.grid(True,'major',linestyle='-',linewidth=0.5)\n", + "# plt.grid(True,'minor',linestyle='--',linewidth=0.25) \n", + "# plt.title(r'SARSA against SARSA (first to play random)')\n", + "\n", + "#vs random\n", + "r0 = player0_rewards[\"vs_random\"]\n", + "r1 = player1_rewards[\"vs_random\"]\n", + "r0_conv = np.convolve(r0, np.ones(N)/N, mode='valid')\n", + "r1_conv = np.convolve(r1, np.ones(N)/N, mode='valid')\n", + "plt.subplot(121)\n", + "plt.plot(range(1, len(r0_conv)+1), r0_conv, color='b', label='player0')\n", + "plt.plot(range(1, len(r1_conv)+1), r1_conv, color='r', label='player1')\n", + "plt.legend()\n", + "plt.xlabel('episode')\n", + "plt.ylabel('reward')\n", + "plt.grid(True,'major',linestyle='-',linewidth=0.5)\n", + "plt.grid(True,'minor',linestyle='--',linewidth=0.25) \n", + "plt.title(r'SARSA against random (SARSA starts)')\n", + "\n", + "#vs optimal\n", + "r0 = player0_rewards[\"vs_opt\"]\n", + "r1 = player1_rewards[\"vs_opt\"]\n", + "r0_conv = np.convolve(r0, np.ones(N)/N, mode='valid')\n", + "r1_conv = np.convolve(r1, np.ones(N)/N, mode='valid')\n", + "plt.subplot(122)\n", + "plt.plot(range(1, len(r0_conv)+1), r0_conv, color='b', label='player0')\n", + "plt.plot(range(1, len(r1_conv)+1), r1_conv, color='r', label='player1')\n", + "plt.legend()\n", + "plt.xlabel('episode')\n", + "plt.ylabel('reward')\n", + "plt.grid(True,'major',linestyle='-',linewidth=0.5)\n", + "plt.grid(True,'minor',linestyle='--',linewidth=0.25) \n", + "plt.title(r'SARSA against optimal(0.2) (SARSA starts)')\n", + "\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "100%|██████████| 10000/10000 [00:58<00:00, 171.52it/s]\n" + ] + } + ], + "source": [ + "num_episodes = 10_000\n", + "r0, r1, agents = run_experiment(env, num_episodes)" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "N=500\n", + "r0_conv = np.convolve(r0, np.ones(N)/N, mode='valid')\n", + "r1_conv = np.convolve(r1, np.ones(N)/N, mode='valid')\n", + "fig = plt.figure(figsize=(10,6))\n", + "plt.plot(range(1, len(r0_conv)+1), r0_conv, color='b', label='player0')\n", + "plt.plot(range(1, len(r1_conv)+1), r1_conv, color='r', label='player1')\n", + "plt.legend()\n", + "plt.xlabel('episode')\n", + "plt.ylabel('reward')\n", + "plt.grid(True,'major',linestyle='-',linewidth=0.5)\n", + "plt.grid(True,'minor',linestyle='--',linewidth=0.25) \n", + "plt.title(r'SARSA against SARSA (first to play random)')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## SARSA vs itself (sharing Q table)" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [], + "source": [ + "heaps = [7,7,7]\n", + "env = NimEnv(heaps)\n", + "\n", + "\n", + "def run_experiment_shareq(env, num_episodes):\n", + " player0_rewards = {\"vs_other\": [],\n", + " \"vs_random\": [], \n", + " \"vs_opt\": []}\n", + " agent0 = RLAgent()\n", + "\n", + " for episode in tqdm(range(1, num_episodes+1)):\n", + " heaps = env.reset()\n", + " next_heaps = [0,0,0]\n", + " nextnext_heaps = [0,0,0]\n", + " env = NimEnv(heaps)\n", + " \n", + " winner = None\n", + " done = False\n", + "\n", + " action = [None, None]\n", + " reward = [None, None]\n", + " old_0 = (None, None) # old state/action for player0\n", + " old_1 = (None, None) # old state/action for player1\n", + " old_reward = None\n", + " i = 0\n", + " while not done:\n", + " action[0] = agent0.decide(heaps)\n", + " next_heaps, winner, reward[0], done, _ = env.step(action[0])\n", + " if i > 0:\n", + " if old_0[0][old_0[1][0]-1] < old_0[1][1]:\n", + " print(f\"{old_0[0]=}, {old_0[1]=}\")\n", + " agent0.learn(old_0[0], old_0[1], old_reward[0], heaps, action[0])\n", + " if done:\n", + " agent0.learn(heaps, action[0], reward[0][0])\n", + " if i > 0:\n", + " agent0.learn(old_1[0], old_1[1], reward[0][1])\n", + " break\n", + "\n", + " action[1] = agent0.decide(next_heaps)\n", + " nextnext_heaps, winner, reward[1], done, _ = env.step(action[1])\n", + " if i > 0:\n", + " agent0.learn(old_1[0], old_1[1], old_reward[1], next_heaps, action[1])\n", + " if done:\n", + " agent0.learn(heaps, action[0], reward[1][0])\n", + " agent0.learn(next_heaps, action[1], reward[1][1])\n", + " break\n", + " \n", + " old_0 = heaps[:], action[0][:]\n", + " old_1 = next_heaps[:], action[1][:]\n", + " old_reward = reward[1][:]\n", + " heaps = nextnext_heaps[:]\n", + " i += 1\n", + "\n", + " r0 = evaluate_fixed_random(agent0, 10)\n", + " player0_rewards[\"vs_random\"].append(r0) \n", + "\n", + " r0 = evaluate_fixed_opt(agent0, 10)\n", + " player0_rewards[\"vs_opt\"].append(r0) \n", + "\n", + " \n", + " return player0_rewards, agent0\n" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[1, 1, 1]\n" + ] + } + ], + "source": [ + "a = [1,1,1]\n", + "b = [1,1,1]\n", + "b = a[:]\n", + "a[0] = 2\n", + "print(b)" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "100%|██████████| 10000/10000 [01:09<00:00, 144.15it/s]\n" + ] + } + ], + "source": [ + "num_episodes = 10_000\n", + "player0_rewards, agent = run_experiment_shareq(env, num_episodes)" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + "
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+ "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "N=100\n", + "\n", + "plt.figure(figsize=(24, 6))\n", + "\n", + "#vs random\n", + "r0 = player0_rewards[\"vs_random\"]\n", + "\n", + "r0_conv = np.convolve(r0, np.ones(N)/N, mode='valid')\n", + "\n", + "plt.subplot(121)\n", + "plt.plot(range(1, len(r0_conv)+1), r0_conv, color='b', label='player0')\n", + "plt.legend()\n", + "plt.xlabel('episode')\n", + "plt.ylabel('reward')\n", + "plt.grid(True,'major',linestyle='-',linewidth=0.5)\n", + "plt.grid(True,'minor',linestyle='--',linewidth=0.25) \n", + "plt.title(r'SARSA against random')\n", + "\n", + "#vs optimal\n", + "r0 = player0_rewards[\"vs_opt\"]\n", + "\n", + "r0_conv = np.convolve(r0, np.ones(N)/N, mode='valid')\n", + "\n", + "plt.subplot(122)\n", + "plt.plot(range(1, len(r0_conv)+1), r0_conv, color='b', label='player0')\n", + "plt.legend()\n", + "plt.xlabel('episode')\n", + "plt.ylabel('reward')\n", + "plt.grid(True,'major',linestyle='-',linewidth=0.5)\n", + "plt.grid(True,'minor',linestyle='--',linewidth=0.25) \n", + "plt.title(r'SARSA against optimal(0.2)')\n", + "\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.2" + ] + }, + "execution_count": 22, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "k = 6\n", + "np.mean([1]*k + [-1]*(10-k))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Interacting with agent" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The environment at beginning is: [3, 2, 6]\n", + "agent took action [3, 5]\n", + "[3, 2, 1]\n" + ] + }, + { + "ename": "IndexError", + "evalue": "string index out of range", + "output_type": "error", + "traceback": [ + "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[1;31mIndexError\u001b[0m Traceback (most recent call last)", + "\u001b[1;32m\u001b[0m in \u001b[0;36m\u001b[1;34m\u001b[0m\n\u001b[0;32m 14\u001b[0m \u001b[1;32mbreak\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 15\u001b[0m \u001b[0mentry\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0minput\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;34m'enter [heap, n_objects]: '\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m---> 16\u001b[1;33m \u001b[0mmove\u001b[0m \u001b[1;33m=\u001b[0m \u001b[1;33m[\u001b[0m\u001b[0mint\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mentry\u001b[0m\u001b[1;33m[\u001b[0m\u001b[1;36m0\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mint\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mentry\u001b[0m\u001b[1;33m[\u001b[0m\u001b[1;36m2\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m 17\u001b[0m \u001b[0mheaps\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mwinner\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mreward\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mdone\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mturn\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0menv\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mstep\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mmove\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 18\u001b[0m \u001b[0mprint\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;34m'you took action '\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mmove\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n", + "\u001b[1;31mIndexError\u001b[0m: string index out of range" + ] + } + ], + "source": [ + "heaps = random.sample(range(1, 8), 3)\n", + "env = NimEnv(heaps)\n", + "agent = agent\n", + "print('The environment at beginning is:', end=' ')\n", + "env.render(simple=True)\n", + "done = False\n", + "\n", + "while not done:\n", + " action = agent.exploit(heaps)\n", + " heaps, winner, reward, done, turn = env.step(action)\n", + " print('agent took action ', action)\n", + " env.render(simple=True)\n", + " if done:\n", + " break\n", + " entry = input('enter [heap, n_objects]: ')\n", + " move = [int(entry[0]), int(entry[2])]\n", + " heaps, winner, reward, done, turn = env.step(move)\n", + " print('you took action ', move)\n", + " env.render(simple=True)\n", + " # print('\\n')\n", + " # print('\\n')\n", + " # print(f\"player {turn['next_turn']} turn\")\n", + " \n", + "\n", + "# print('\\nHere is the reward: ', reward)\n", + "winner = 'agent' if winner == 0 else 'you'\n", + "print(f'{winner} win(s)!')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Old" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "num_episodes = 500\n", + "num_seed = 10\n", + "heaps = random.sample(range(1, 8), 3)\n", + "env = NimEnv(heaps)\n", + "\n", + "\n", + "def run_experiment(env, num_episodes):\n", + " player0_rewards = []\n", + " player1_rewards = []\n", + " agent = [RLAgent(), RLAgent()] # agents for player 0,1\n", + " # agent = RLAgent() # player 0 plays against e-greedy optimal policy\n", + " # agent0 = RLAgent() # RL agent for player 0\n", + " # agent1 = RLAgent() # RL agent for player 1\n", + " actions = [None, None]\n", + " reward = [None, None]\n", + "\n", + " for episode in tqdm(range(1, num_episodes+1)):\n", + " player0_episode_reward = []\n", + " player1_episode_reward = []\n", + "\n", + " for seed in range(num_seed):\n", + " heaps = env.reset(seed) # fixed seeds to evaluate performance on same set of initial conditions\n", + " env = NimEnv(heaps)\n", + " winner = None\n", + " done = False\n", + " old_heaps = None\n", + " turn = 0\n", + " next_turn = None\n", + " action[0] = agent[0].decide(heaps)\n", + " while not done:\n", + " # print(heaps)\n", + " # print(action)\n", + " next_heaps = None\n", + " nextnext_heaps = None\n", + " next_heaps, winner, reward0, done, next_turn = env.step(action0) # agent0 takes action a\n", + " if done:\n", + " agent[turn].learn(heaps, action[turn], reward[turn][0])\n", + " if old_heaps is not None:\n", + " agent[next_turn].learn(old_heaps, action1, reward[turn][1])\n", + " break\n", + " action1 = agent1.decide(next_heaps)\n", + " nextnext_heaps, winner, reward1, done, _ = env.step(action1) # agent1 takes action a'\n", + " if done:\n", + " agent0.learn(heaps, action0, reward1[0])\n", + " agent1.learn(next_heaps, action1, reward1[1])\n", + " break\n", + " next_action0 = agent0.decide(nextnext_heaps)\n", + " next3_heaps, winner, reward0, done, _ = env.step(next_action0)\n", + " agent0.learn(heaps, action0, reward0[0], nextnext_heaps, next_action0)\n", + " if done:\n", + " agent1.learn(next_heaps, action1, reward0[1])\n", + " break\n", + " next_action1 = agent1.decide(next3_heaps)\n", + " agent1.learn(next_heaps, action1, reward1[1], next3_heaps, next_action1)\n", + " next4_heaps, winner, reward1, done, _ = env.step(next_action1)\n", + " if done:\n", + " agent0.learn(nextnext_heaps, next_action0, reward1[0])\n", + " agent1.learn(next3_heaps, next_action1, reward1[1])\n", + " break\n", + " nextnext_action0 = agent0.decide(next4_heaps)\n", + "\n", + " old_heaps = next3_heaps.copy()\n", + " action1 = next_action1.copy()\n", + " heaps = next4_heaps.copy()\n", + " action0 = nextnext_action0.copy()\n", + "\n", + " if winner == 0:\n", + " player0_episode_reward.append(1) \n", + " player1_episode_reward.append(-1) \n", + " else: # if winner == 1 \n", + " player0_episode_reward.append(-1)\n", + " player1_episode_reward.append(1) \n", + " \n", + " player0_rewards.append(np.mean(player0_episode_reward)) \n", + " player1_rewards.append(np.mean(player1_episode_reward)) \n", + " return player0_rewards, player1_rewards, agent\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "num_episodes = 5000\n", + "num_seed = 100\n", + "heaps = random.sample(range(1, 8), 3)\n", + "env = NimEnv(heaps)\n", + "\n", + "\n", + "def run_experiment(env, num_episodes):\n", + " player0_rewards = []\n", + " player1_rewards = []\n", + " # agent = [RLAgent(), RLAgent()] # agents for player 0,1\n", + " agent = RLAgent() # player 0 plays against e-greedy optimal policy\n", + " # agent0 = RLAgent() # RL agent for player 0\n", + " # agent1 = RLAgent() # RL agent for player 1\n", + "\n", + " for episode in tqdm(range(1, num_episodes+1)):\n", + " player0_episode_reward = []\n", + " player1_episode_reward = []\n", + "\n", + " for seed in range(num_seed):\n", + " heaps = env.reset(seed) # fixed seeds to evaluate performance on same set of initial conditions\n", + " #heaps = [7,7,7]\n", + " env = NimEnv(heaps)\n", + " winner = None\n", + " done = False\n", + " action = agent.decide(heaps)\n", + " while not done:\n", + " # print(heaps)\n", + " # print(action)\n", + " next_heaps = None\n", + " nextnext_heaps = None\n", + " next_heaps, winner, rewards, done, _ = env.step(action)\n", + " if done:\n", + " agent.learn(heaps, action, rewards[0])\n", + " break\n", + " adv_action = optimal_policy(next_heaps, randomness=0.2)\n", + " # print('nextheaps1=', next_heaps)\n", + " # print('adv_action=', adv_action)\n", + " nextnext_heaps, winner, adv_reward, done, _ = env.step(adv_action)\n", + " if done:\n", + " agent.learn(heaps, action, adv_reward[0]) #adv_reward[0]\n", + " break\n", + " nextnext_action = agent.decide(nextnext_heaps)\n", + " # print(f'Q({heaps}, {action}) = ', agent.getQ(heaps, action))\n", + " agent.learn(heaps, action, rewards[0], nextnext_heaps, nextnext_action)\n", + " # print('Q(heaps, action) = ', agent.getQ(heaps, action))\n", + "\n", + " heaps = nextnext_heaps.copy()\n", + " action = nextnext_action.copy()\n", + "\n", + " if winner == 0:\n", + " player0_episode_reward.append(1) \n", + " player1_episode_reward.append(-1) \n", + " else: # if winner == 1 \n", + " player0_episode_reward.append(-1)\n", + " player1_episode_reward.append(1) \n", + " \n", + " player0_rewards.append(np.mean(player0_episode_reward)) \n", + " player1_rewards.append(np.mean(player1_episode_reward)) \n", + " return player0_rewards, player1_rewards, agent\n" + ] + } + ], + "metadata": { + "interpreter": { + "hash": "4369559244255f10d34bca352df9b3f8794934e60b17f3451fa3b0f2f96527a8" + }, + "kernelspec": { + "display_name": "Python 3.8.8 64-bit ('base': conda)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.8.8" + }, + "orig_nbformat": 4 + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/train2.ipynb b/train_sarsalambda.ipynb similarity index 100% rename from train2.ipynb rename to train_sarsalambda.ipynb diff --git a/utils.py b/utils.py index 7f5171f..54fd203 100644 --- a/utils.py +++ b/utils.py @@ -1,115 +1,301 @@ import random +import numpy as np +from nim_env import NimEnv + + +def color_negative_red(val): + """ + Function for coloured Pandas DataFrame print + Used in utils.view_Q_table() + + Parameters + ---------- + val : float + value of dataframe cell. + + Returns + ------- + str + color of cell. + + """ + if val < 0: + color = "red" + elif val > 0: + color = "green" + else: + color = "white" + return "color: %s" % color + + +def view_Q_table(q, nhead=5): + """ + Function for nice and coloured Q-table print + + Parameters + ---------- + q : pandas.DataFrame + agent's Q-table (usually accessible with a.q for agent called a) + nhead : int, optional + number of first rows to print. The default is 5. + + Returns + ------- + pandas.DataFrame + Styled head of Q-table. + + """ + + return q.head(nhead).style.applymap(color_negative_red) + + +def evaluate_fixed_opt(agent, N, randomness=0.2, alwaysfirst=False): + """ + Evaluate agent against fixed optimal policy + + Parameters + ---------- + agent : + reinforcement learning agent. + N : int + number of draws. + randomness : float, optional + level of randomness ε in ε-greedy optimal policy. The default is 0.2. + alwaysfirst : bool, optional + boolean to determine the starting player. if true, agent starts on all N games. + if false, agent starts on N/2 games, optimal player starts N/2 times as well. + The default is False. + + Returns + ------- + float + average reward of agent over N games. + + """ + + agent_rewards = [] + if alwaysfirst: + first_to_play = ["agent"] * N + else: + first_to_play = ["agent"] * int(N / 2) + ["teacher"] * int(N / 2) + for i in range(N): + done = False + heaps = random.sample(range(1, 8), 3) + env = NimEnv(heaps) + if first_to_play[i] == "agent": + while not done: + action = agent.exploit(heaps) + next_heaps, winner, reward, done, turn = env.step(action) + if done: + break + adv_action = optimal_policy(next_heaps, randomness=randomness) + nextnext_heaps, winner, adv_reward, done, _ = env.step(adv_action) + heaps = nextnext_heaps + if winner == 0: + agent_rewards.append(1) + else: # if winner == 1 + agent_rewards.append(-1) + else: + while not done: + adv_action = optimal_policy(heaps, randomness=randomness) + next_heaps, winner, adv_reward, done, turn = env.step(adv_action) + if done: + break + action = agent.exploit(next_heaps) + nextnext_heaps, winner, reward, done, turn = env.step(action) + heaps = nextnext_heaps + if winner == 0: + agent_rewards.append(-1) + else: # if winner == 1 + agent_rewards.append(1) + + return np.mean(agent_rewards) + + +def evaluate_fixed_random(agent, N): + """ + Evaluate agent against fixed random policy + + Parameters + ---------- + agent : + reinforcement learning agent. + N : int + number of draws. + + Returns + ------- + float + average reward of agent over N games. + + """ + + agent_rewards = [] + first_to_play = ["agent"] * int(N / 2) + ["teacher"] * int(N / 2) + for i in range(N): + done = False + heaps = random.sample(range(1, 8), 3) + env = NimEnv(heaps) + if first_to_play[i] == "agent": + while not done: + action = agent.exploit(heaps) + next_heaps, winner, reward, done, turn = env.step(action) + if done: + break + adv_action = random_policy(next_heaps) + nextnext_heaps, winner, adv_reward, done, _ = env.step(adv_action) + heaps = nextnext_heaps + if winner == 0: + agent_rewards.append(1) + else: # if winner == 1 + agent_rewards.append(-1) + else: + while not done: + adv_action = random_policy(heaps) + next_heaps, winner, adv_reward, done, turn = env.step(adv_action) + if done: + break + action = agent.exploit(next_heaps) + nextnext_heaps, winner, reward, done, turn = env.step(action) + heaps = nextnext_heaps + if winner == 0: + agent_rewards.append(-1) + else: # if winner == 1 + agent_rewards.append(1) + + return np.mean(agent_rewards) + + +def evaluate(agents, N): + player0_ep_rewards = [] + player1_ep_rewards = [] + for i in range(N): + done = False + heaps = random.sample(range(1, 8), 3) + env = NimEnv(heaps) + turn = 0 + while not done: + action = agents[turn].exploit(heaps) + next_heaps, winner, reward, done, turn = env.step(action) + if winner == 0: + player0_ep_rewards.append(1) + player1_ep_rewards.append(-1) + else: # if winner == 1 + player0_ep_rewards.append(-1) + player1_ep_rewards.append(1) + + return np.mean(player0_ep_rewards), np.mean(player1_ep_rewards) + def optimal_policy(heaps, randomness=0): """ Optimal policy relying on nim sum (binary XOR) taken from https://en.wikipedia.org/wiki/Nim#Example_implementation - We play normal (not misere) game: the player taking the last object wins + We play normal (i.e. not misere) game: the player taking the last object wins Parameters ---------- heaps : list of integers list of heap sizes. Returns ------- move : list move[0] is the heap to take from (starts at 1) move[1] is the number of obj to take from heap #move[0] """ if random.random() < randomness: return random_policy(heaps) - + else: nim_sum = compute_nim_sum(heaps) if nim_sum == 0: # You will lose :( count_non_0 = sum(x > 0 for x in heaps) if count_non_0 == 0: # Game is already finished, return a dumb move move = [-1, -1] else: # Take any possible move move = [heaps.index(max(heaps)) + 1, 1] return move - # Calc which move to make for index, heap in enumerate(heaps): target_size = heap ^ nim_sum if target_size < heap: amount_to_remove = heap - target_size move = [index + 1, amount_to_remove] return move - + def compute_nim_sum(heaps): """ The nim sum is defined as the bitwise XOR operation, this is implemented in python with the native caret (^) operator. The bitwise XOR operation is such that: if we have heaps = [3, 4, 5], it can be written in bits as heaps = [011, 100, 101], and the bitwise XOR problem gives 010 = 2 (the nim sum is 2) Parameters ---------- heaps : list of integers list of heap sizes. Returns ------- nim : int nim sum of all heap sizes. """ - + nim = 0 for i in heaps: nim = nim ^ i return nim def random_policy(heaps): """ Random policy (then optimal when obvious): - Select an available heap - Select a random integer between 1 and the number of objects in this heap. - When [1, 1, N] then take N from heap C, - When [1, 0, N] then take N-1 from heap C. [1, 1, 0] Parameters ---------- heaps : list of integers list of heap sizes. Returns ------- move : list move[0] is the heap to take from (starts at 1) move[1] is the number of obj to take from heap #move[0] """ - + # special, trivial cases count_non_0 = sum(x > 0 for x in heaps) - count_1 = sum(x==1 for x in heaps) + count_1 = sum(x == 1 for x in heaps) if count_non_0 == 2 and count_1 == 1: - move = [heaps.index(max(heaps)) + 1, max(heaps)-1] + move = [heaps.index(max(heaps)) + 1, max(heaps) - 1] elif count_non_0 == 0 and count_1 == 2: move = [heaps.index(max(heaps)) + 1, max(heaps)] else: # the indexes of the heaps available are given by heaps_avail = [i for i in range(len(heaps)) if heaps[i] > 0] + chosen_heap = random.choice(heaps_avail) - n_obj = random.choice(range(1, heaps[chosen_heap]+1)) + n_obj = random.choice(range(1, heaps[chosen_heap] + 1)) move = [chosen_heap + 1, n_obj] - + return move - - \ No newline at end of file +