{ "cells": [ { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "%matplotlib inline\n", "from IPython import display" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "import numpy as np" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "import torch" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "import gym" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "import time" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "from gym.envs.registration import register\n", "register(\n", " id='FrozenLakeNotSlippery-v0',\n", " entry_point='gym.envs.toy_text:FrozenLakeEnv',\n", " kwargs={'map_name' : '4x4', 'is_slippery': False},\n", " max_episode_steps=100,\n", " reward_threshold=0.78, # optimum = .8196\n", ")" ] }, { "cell_type": "code", "execution_count": 59, "metadata": {}, "outputs": [], "source": [ "#env = gym.make('FrozenLakeNotSlippery-v0')\n", "#env = gym.make('FrozenLake-v0')\n", "env = gym.make('Taxi-v3')" ] }, { "cell_type": "code", "execution_count": 60, "metadata": {}, "outputs": [], "source": [ "number_of_states=env.observation_space.n\n", "number_of_actions=env.action_space.n" ] }, { "cell_type": "code", "execution_count": 61, "metadata": {}, "outputs": [], "source": [ "Q=torch.zeros([number_of_states,number_of_actions])" ] }, { "cell_type": "code", "execution_count": 62, "metadata": {}, "outputs": [], "source": [ "gamma=0.95" ] }, { "cell_type": "code", "execution_count": 63, "metadata": {}, "outputs": [], "source": [ "learning_rate=0.9" ] }, { "cell_type": "code", "execution_count": 64, "metadata": {}, "outputs": [], "source": [ "egreedy=0.9\n", "egreedy_final=0.01\n", "egreedy_decay=0.999" ] }, { "cell_type": "code", "execution_count": 65, "metadata": { 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after: 17\n", "Episode finished after: 15\n", "Episode finished after: 8\n", "Episode finished after: 13\n", "Episode finished after: 13\n", "Episode finished after: 16\n", "Episode finished after: 12\n", "Episode finished after: 14\n", "Episode finished after: 18\n", "Episode finished after: 13\n", "Episode finished after: 16\n", "CPU times: user 17.5 s, sys: 294 ms, total: 17.8 s\n", "Wall time: 17.4 s\n" ] } ], "source": [ "%%time\n", "\n", "x_e = []\n", "y_e = []\n", "\n", "for i in [0.9, 0.7, 0.5, 0.3, 0.1]:\n", " num_episodes=1000\n", " Q=torch.zeros([number_of_states,number_of_actions])\n", " #learning_rate=i\n", " egreedy=i\n", " steps_total=np.full([num_episodes],-999,dtype=np.int32)\n", " rewards_total=np.full([num_episodes],-999,dtype=np.float32)\n", "\n", " for i_episode in range(num_episodes):\n", "\n", " state = env.reset()\n", " #for step in range(100):\n", " step=0\n", " #print(\"____INITIAL STATE____\")\n", " #env.render()\n", " #print(\"^^^^^^^^^^^^^^^^^^^^^\")\n", "\n", " #undiscounted reward for the episode\n", " current_total_reward=0\n", " while True:\n", "\n", " step+=1\n", "\n", " #action=env.action_space.sample()\n", " Q_eps=1e-6*torch.randn([number_of_actions])\n", " random_for_egreedy=torch.rand(1).item()\n", "\n", " if random_for_egreedy>egreedy:\n", " action=torch.argmax(Q[state]+Q_eps).item()\n", " else:\n", " action=env.action_space.sample()\n", "\n", " new_state, reward, done, info = env.step(action)\n", "\n", " current_total_reward+=reward\n", "\n", " if egreedy>egreedy_final:\n", " egreedy*=egreedy_decay\n", "\n", " Q[state,action]=(1.0-learning_rate)*Q[state,action]+learning_rate*(reward+gamma *torch.max(Q[new_state]).item())\n", "\n", " state=new_state\n", "\n", " #time.sleep(0.4)\n", " #print(\"------------------------\")\n", " #env.render() \n", " #print(\"++++++++++++++++++++++++\")\n", " #print('new state: ',new_state)\n", " #print('info: ', info)\n", "\n", " #show_state(env.env,i_episode,step)\n", "\n", " if done:\n", " steps_total[i_episode]=step\n", " rewards_total[i_episode]=current_total_reward\n", " print(\"Episode finished after: {}\".format(step))\n", " break\n", " x_e.append(torch.arange(len(rewards_total)))\n", " y_e.append(rewards_total)" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Average number of steps: 29.046\n" ] } ], "source": [ "print(\"Average number of steps: {}\". format(np.average(steps_total)))" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Average number of steps in last 100 episodes: 13.48\n" ] } ], "source": [ "print(\"Average number of steps in last 100 episodes: {}\". format(np.average(steps_total[-100:])))" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Average total undiscounted reward -18.804000854492188\n" ] } ], "source": [ "print(\"Average total undiscounted reward {}\".format(np.average(rewards_total)))" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "scrolled": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Average total undiscounted reward in the last 100 episodes 6.980000019073486\n" ] } ], "source": [ "print(\"Average total undiscounted reward in the last 100 episodes {}\".format(np.average(rewards_total[-100:])))" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "tensor([[ 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000],\n", " [ -5.7468, 2.9383, -6.6676, -6.1625, 5.2100, -9.0000],\n", " [ -4.0418, -4.1128, 6.5855, -4.1128, 10.9512, -9.0000],\n", " ...,\n", " [ -3.3642, -2.7441, -3.3642, -3.3665, -10.6695, -9.0000],\n", " [ -4.8277, -4.8278, -4.8277, -4.2462, -9.0000, -9.0000],\n", " [ -1.7595, -1.7595, -1.7595, 14.4000, -9.0000, -9.0000]])\n" ] } ], "source": [ "print(Q)" ] }, { "cell_type": "code", "execution_count": 46, "metadata": {}, "outputs": [], "source": [ "#print(rewards_total)\n", "labels_lr = [0.2, 0.4, 0.6, 0.8]\n", "labels_e = [0.9, 0.7, 0.5, 0.3, 0.1]" ] }, { "cell_type": "code", "execution_count": 66, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(1,figsize=[12,5])\n", "plt.title(\"Total undiscounted reward per episode\")\n", "plt.plot(torch.arange(len(rewards_total)), rewards_total,alpha=0.6, color='green')\n", "#plt.plot(rewards_total)\n", "plt.show()\n" ] }, { "cell_type": "code", "execution_count": 67, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(13,figsize=[12,5])\n", "plt.title(\"Total undiscounted reward per episode\")\n", "plt.plot(torch.arange(len(rewards_total)), rewards_total,alpha=0.6, color='green')\n", "#plt.plot(rewards_total)\n", "plt.ylim(0.0,20.0)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 68, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(3,figsize=[12,5])\n", "plt.title(\"Steps to finish episode\")\n", "plt.plot(steps_total)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 69, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "tensor([[ 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000],\n", " [-5.6760, -6.1625, -6.2575, -6.1625, 5.2100, -5.4455],\n", " [-4.1128, -4.1128, -3.6237, -4.1128, 10.9512, -9.0000],\n", " ...,\n", " [-2.5803, -2.7282, -2.5803, -3.2992, -9.0000, -9.0000],\n", " [-5.5105, -5.5105, -5.5105, -6.1600, -9.0000, -9.0000],\n", " [-0.9000, -0.9000, -0.9000, 17.9998, 3.7278, -9.0000]])\n" ] } ], "source": [ "print(Q)" ] }, { "cell_type": "code", "execution_count": 70, "metadata": {}, "outputs": [], "source": [ "def moving_average(a, n=5) :\n", " ret = np.cumsum(a, dtype=float)\n", " ret[n:] = ret[n:] - ret[:-n]\n", " return ret[n - 1:] / n" ] }, { "cell_type": "code", "execution_count": 75, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 75, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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AlYFwONAcDjSnEyMeB8Mg9PnnaC43ek42em4uFq93r3qMeJxUezup9nZkLI5jyOCdgWNDqAGrxcra5rVsaFpHa+N2ykUzq5pXo6Hh1J1YNAuhRAibxcboVDF9a1MY2yrpVd5BYZNBWkdyt/0lLNDqs9DoE6wd6kFLTyOQ42Z7rI4LQn0Y9UUrlmQK++ZqpMWCSKXQ8/OwpKXjHDWKZFMTFq8HS3Y2msOJrU8fUq0tZgCclUbY30oyHsU78mSa0zW2xmvIySzCIXWCK5cTra7GLnTcFY3YVm8mmmYnPa6jRWIkohHwuin6/h3ouXkkW5rBMAgsW0Jo0waM5WvA6UBP95Gsr9+9I3UdzelEczjAqpOsq4dD/H/qHDUKa2EhRiSCEQoRWb4cGY/vKqBpZtAOJD1O9GDkgOqN61CbCdYkCAAJNgMcCUi5DWwYSJdBuj2JKw42H9h9BuGYRqvHwkcZkqUZVjSHxJaUpG2zYk/AtiJJzA6uGLSjUZmhEbOZI46WlEQzoE8ywZntUcpxUGNYERIiNsgPw6CwTlEz5DTGsFgTFEaTpBIa8YRG3AZhi0CLC/SQhjsEtsTeo5kJh4GeApHQkJoECVGvxBkGi0WSimmAwOIUWFw6Fq+XVNKGnpmOa1h/hNON0VpL5MtN2Ep7ow8YQ3z7dhLbNpJqbiLZHkJzOhBuN1jsyGgUAHtZGQDWgjxS7QFiW7aQqKlBxuPYBgygNdhIrSsG4QgDa7t/XSI2aEvTcMUFuqZTV+SgOtfAkZB4wpBXm8ASTWBISbtTktDBG4EOF4QyDXKsGnnSQUuHgWxP4HeCPSHJbYe4FVq90JQuyOqQFLRBRtB8L9iSe7fF0KC+d4qk0yAjAHoKpCHAgAQajTaNkF2QtOtUZQvS8grQ7Q5cgQivFzSRjMbxRiQZSRuF9Um0pIHFkNgkZLRLerWCIwkJK2S1gW4c0Fv3gEg639ddWBxg8VhJu/ICcqY/cvh2doD2N0uJCriPEI/HQzAY7LH6KyoqmDp1Ki0tLYwePZrZs2djs9m6LVtZWcmQIUOYMWMGP/nJT/ZafzT0l6J8HVJKNrZtREpJMBGkPdbOysaVWDUrdt2O1+qlJK2ETEcm+e58sp3ZB1RnU6QJKSVb27dSG6olnAjT19eX1mgrADnOHNa3rqfCX4GUkh+M/AG9PL1IBUMEP/oIkZFOcms58coqwBxRlckE9gEDsOblIMrfJ7Z6OcHNbURbwKJLUvHdR4s1rwcjEETzejECgd3W6QUFGOEw1txcUqEgqXY/MhzerYy1Tx/CxNjex82yxFZcMUm/OknfejMwi1sF4fx0Ei4bhjSQAjTNgu4Pk1m7a3/+Ai/bc2B9bgI9M5PMrELSQpDWEsHW0EZmpR9v496feXUZELPCyr4CKcAQUOTX6d1hI78qREeOG0vKwNkWQTvAf1cJC1hTuy9LCVjbW+CJSjqcgrADkhqctE2SEdq9bMQGTWnwZalAAmkxDS0rC93jwTipDF9rHFttE6KjjWQ4hB6P0eiJEXdb8Np91DnsxI0IHoeH0zLLsLdX4k4lSLpziQlBQAgG5g8h0RpgUbScdaPzyU8vYkXTKvzhJiKxEBZ/BCPUQVSmqPbBoCrzNclvl7R6IZAucaeg2i0wLNA7nqRv1EJma5wGj8AjJANrU2S0CiI2gR2JTXdi0S0Iu4NEzA26lURriFQwRiqw+/uiK0uGj1QgCMluIrZORk4aUbuOo64dLfXVUZUhoDVdwxMyCDghaYGUZi7XJISdGm1unWa3RodHpzXNikGM+swYjT7wu8BimMFki9cMvAxNYBMWBrryyQ1LJn7WSlZA4gsmIRTErqegw0Ki3brrfeE0SBkCW0yQsBsEsyRJh8Tv0YgnwI+GFXBoBqQgr1HgkOAIS+K6oL4AWnwacYtGRqNByAolAYFLGmTmB0krjiBcBgnNgzTskGqlwJLEYnOZqSBGovsO0nQS2QPZ4PJg9B7HoJO/jyYNrJ488yxAJykloUSIjniH+Yh14I/76Yj66Wgvp8NfiRaP0hCqITPqYLC/AEtQELWkqIzVo2+uZMjmKK6opDHd/NtJWiBpEaQ0yE5a8EYTWGISr/+rzlRJhAUQEolGzJdOpa8PdYYNeyhAlTeHT0v64dAbGBgsJz1uEEzzsblPX6J6K5nOANFokohmQzdaSSSiWOJ+LDIKWgx7UhKzCoQ0/77L8yGJjcLWBIWtkrSQoHeTQbZfUnPqmfxk5tNf+T483FTAfQwG3Dtuy36orr76ar7zne8wdepUbr/9dkaMGMEdd9zRbdnJkycjhGDs2LEq4FaOG+FEmP/+4r/Z3rGdlJHiy5YvD2g7q2bFa/MSiAfw2rzmw+olTXNR0Jhic3qIDqKEE2EaI11uFCUlaWHoXyt3Bo4WA9IiMKjFgbstgjMGVk2nd20KV3RXUGJ4XFgtOlgEAkmytWNXvQKcJek4++WT7IjgSKxBs0mkxU0qGCUZ0dCsGsm4He+gdCwDTiXpGUI8APEtW9DcbpLNLVjsEos1iaXvaCwZPoTLztaFz9O4chvhZHRngG1YLST7l5A1+jRcJaUkamqIb6/ECIVASqQ0wDDQXG4cZ5yO9/TT0bOysebldnaDRHSTXykNg0RlJUYkQryqCplIYNistI8oJWkVhBJm1FsbrGVx/WK2tG7GFU6yzqjBrtkBibW5g/62Quw5ebTF2+ltZHBK3/HoUuBfvRxPe5ze1jxS7e0kbBrWwYPIHTyKiBEn4rWiuVxYNStrquYTDDZQnJJ8sfUDNjc00juks9UWxaZb6J/ppEyzIjL6kPT1ptwIsS7WTEO4ke3heiRglRJdSjJTBikBDqGTFIJWUgyIJ3BKg9V2O+EDSKfZoV88Tm4qhcuQOKXEhQWXt4BsWzpudx7Fab0pioXJd2Ri0Z3Qvh1pdYEzAxFqgqovILsMLvotWF2QjIKRhGCjmR5gc+9z31JKoqtWgaZhycwk1dxMor6eZGMj0Y0b0TMycJ95FnpuLpHlyzBiMSxeL0LXiVZsY/2iVYT8QVaQTrvuxI6BLcPL9piVDt3JwII0si0pauIa+aW98Gf3Ii3dTZq3g7nln6NLF2nWXD7bGCYSdYK0oWuCh64czhWjCrFogg31HWys9+O0J/hsWzmvrF6EjBVSnJEGUqOuPYI19y3sjhCaFiMs6zBI7XWsmmGOwgsJCav5XtWTEkMzg3YADTte4WOQ3guRrCNgTaBjI5GIsUG2YgCupBVPUsMlJU7DwKVpnB+xMzah05xw8HxoLG4RJSwdfOk+HYvdyV196hhhKSffEsTldILFBmm9YMD54MwAaUCo2fzdkXbA752DJaVkVbWfcCzJp1uayXDqeL0dtEciVLXG+feqJgIRA5ny4iPAMG0bdmmQFvGTKSI0J1wUNDQTd1oRdvBoEVxZMbaJAj5IjaYJHxZNMCjfS78cD9keO5NHF+G2W/hwfSMVzSEKM5xUt4WpaYuQSEkqmkOkO6147DopKRmQ68Gua1g0jQXltTTFN5CRlmDiMCclnlI2tGwmjh9pOIknkzSF2tE1GwI4v894po2c2GP9ty8q4D5GAu4bb7wRh8PBihUrGDdu3CHffVJKSU5ODvX19ei6zsKFC5kxYwbvvffeXmVff/11FixYgNvtxuPxqIBbOSaljBSrm1ezsHYhczbNwZAGwUALYzZJ+jlyiZBikMtNZsdabCTY7rRQ1mqQU+/BlYwhSgVbs31E0zKpa/HhqA6hZ2YR1g3StzTgagzgawxjixu0Z9qJpTmIe+w4PekEi70UZGTjmPM5srX7L9HCasHI9tDhshHyt1CVK0icnENSd7MgVsna3gZjI1HGhyNENIE9JihLG0164Xj8ZSPp23sEwUSQ+lA98c+fgOZNaDmDEI508uw++hkaRP2wfQE0bwJhgSGTzADLkwtWJyz6M8lwCy/ml/I3h6RZmJ/9upTcZLi56dt/xuMbANF2RGax2XDDMNMZunrmfGivhJ9s7MFX9CusmWP+zOpvXiDWNcCXEtq3g7cAKhdC/Rroew6EW8w84XALvP1TSHWmbLhzIP8kCLdC7mCIhyAeNAPVykW7ynWK2zzoWf3Q+oxH9joZkTsEbC7wdV5cuOof0LgW+oynLR5kTUc5qdzBhGUKazJGNBHGZ0iWNq0gW3eTq7sZL9zEkhEyrJ25s+mFZjt6jTIvfjuK+cMJbnthKYvKW7HrGhMH53LV6GLmb2pic2OALLed5mAMfySBP5IgzWFlS1MQp9WCP2KO7ma4rGS4bLSE4kwclMvVpxTjseuUZLlIc1j3ue/ypiCzF22nsiWMP5LAbdfJ8tjY3BCkMRClPRwjLpqxOGsYU5JPWNYSiIUpSsvHbcnG7UiRl2YlFRrMku11ROMaBWk+WsMB2oIazcE4wZg5qu+16wQ6f0ckEHoHxWlFnD84nyEFadT5I3y2pZl6f5SWUJxcr52bz+xLSaaL8uYgH6xvpD0cZ3W1f2f7LxvRi+FF6QzI8/LvVbVsagxS6HPgsulMHJTLhScVEE2kqG2PUOePMiDXDFzjKQO7ru32xdYwJPUdUZoCMeZtaCTNaeWaU4uxaIJEStIWilPoc7Kmxs/yyjbeWl3H0u1t++zbU/tkcsPppSRSBj6XlQF5XnqlO1hU3soLi7YzKN/L8GIfKcMgGEvRL8eN125FIqlui5A0JOMHZHf75ft4pgLu/QXc7/w/8wP5cMo/CS58aL9F9hVwNzc383//939Y9rhoaOPGjUyZMqXbuj7++GN8Pt/O583NzZx22mls2bIFgKqqKi688EK+/HL3Eb5gMMj555/P+++/z6OPPqoCbuWYkTSStEXbyHZms7l9M79Y8AvWtawDoNBTyJjMkVz0xBdkrKv/ipq6J3SJTAmQoOfnY+/bF1vvEvTwZoKLloItjVQ4ihGHZGDXKWHNatDrtDZ0h7EzwdDi0LCm6YiUOYLbqmlIIKszJ9evCR4o7MP7+r5P13+VAncBBe4CqgJVRJMRilOSU0Ih7EYKayKE1UixPi2XT20QNhKUouPUXVxacCaTnMWkffSgGeDpdnNUNL3YfB7rAE03nxedAr1PhzfuMnd6TwW4MndviL8GapZCyelmcOvJNS/AOpw6auGxLp9Hvt5QeiaMvBZyh8D6N+DNH4HQzNHC7qSXwLcfNC/WKzwZtH1cpBn1Q3uV+QWjfrW57Iy79jtSfDxIGZIvKlp478t67jx3ADle+27rGzuiPPLeRhaWt1DdFtk5Ej15dNFB7WdrUxApJaVZbnTL4Z+lOGVIUoakzh+hd9ahvWaReIoPNzSwcGsLBekOTu+XTU17BLfNwjlluVi0gwsoK1vCVLaG+XBDAy9+UUk8ab5HHVaNUcUZNHSYAbs/kiDdad35pWRPvbNcDOuVzpbGIG67hfZIgvKmULdld0hz6HREzc8Zn8vKdWNL8NitXD6qF7qmUdMeIZZIcXLvDKw98HqcCPYXcKtZSo4yV1111V7BNkBZWRkrV648rPuaMWMG06dPx+PxHNZ6FaWnPb36af686s+k29Pxx8wRoztG3MHUQVPJsGdQc+NkAuvqyTs1jvu6e5FYMBIaSVsRMh4nsnwZ0U2bKHr8cYxIhNjmzaTa2jBa6rF5YriNBchNH2LoWeijR5pBV+MrIKvJngBY/ZA7GBkNkdQKiWdfgG3EGVgHjDJHUK0uM+DULGDzmAHa6ldg2ydkll1kBqQAH/2G9OyBPDbyWiIWC5/VfMYA3wB0TWd7x3baYm14rB6qA9V4bV4K3AU4dAcSac50IVMsrl/M5rbNNIWbOLXgVGyajcX1i5ktI4CGIXeclk5wXtF5XNz3YiaWTNx95Gn4VPjif6FxPeQNNX+6ssDuMfNM/dWw/k1Y9dKubT55FBzp0LQBmjdDImT2U9ecVIsd+k0w+6R4rDlaW/EJ9JsIZ9y5q1wiaqZDpBeZI8tVi81gPb3YTIVIRMxAu+FLc/Qa4KJHzZ9b58GX/4KVL+6qr9co6H8e2NOg7CKoXmwG155cs03pReao9FdxpEN+OuQPg0EXHchb85j29po6nvusgljSYE2N+Xc1Z1k1JxWl47FbqWmPEE+m2NoZ2J1TlsOUMcWc0XtoH0cAACAASURBVD+b0b0zDnp//XJ69n+PRRNYNHHIwTaA02bhkuG9uGR4r53LDuVYdyjJclGS5eLMAdn857fKaAvF2dIYZGhhGrleB2B+UXjuswrKm0MU+hwUpDvJdNvY2BAgljAQAj7b3Mw7X9aR5bHjcbjQNcEvLhlCcYaToYXpbG0MsqbGTyxpsLKqnUKfg1jS4KwB2YwqzqA0e+8+2fOLlXJ4qRHuI2RfI9yXXHIJkydP3qv8wYxwH2hKyVlnnUVVlXmxVnt7O5qmMXPmTO68887dyh0N/aUcPjtybDviHTSGGilOK+Z3S39Hub+cYVnDsFqs2C12ir3FDMocRC9PL5Bgtez71O43IZ6K8/qW10mzpfHEiiewSQvjY70Z9X4FmTVN5PXLJfeifhjblrHpf5rIGOEl/3//Bb7iQ9th/Zfwzr1QtQhyBpspAyOvNQO4g8jLPRKklCRlEqtmJWWkiCQjbOvYxtCsoYd+ijcehpbNZj7w/IehegkgIKM3ZA80g1t3DmT2hXX/B8Ovgu0LoW6lOUre0HmGzeaFeACGTTaDaYsVVrwIocb97n43riz4yZZdr0OgwQzYmzeZo/TDp5jBtdItKSUb6gM0BmJUtZrpGDleO7/+9zpsuoauadxyVh+GFKTx9pd1rKn2E00YFGY4sesa6U4rV4wqZGzfrCN9KCe0en8Ut92Cdz9pN8o367ga4RZCfBv4A2ABnpFS7j934zhxMCPcQggmTJjAnDlzmDp1KrNmzWLSpEl7lfv00093/j5jxgw8Hs9ewbZyfHl327vMXDgTt9VNc6SZpJFEFzpJaZ5mXFa/bOfvXfVN78vsi2aTZuu5i3i6FWmHlS+xgTg/3jybGhnn+g9TTN8iKWwF2IywSOy+BK0fdRBZuwnN5QAp8P7HI4cebIM5qnnTW2ZO8DGWhyiEwCrMf8IWzYLH5mFY9tecj9jmMvOlwRw9bttm5oZ3N1fv2FvNn6Nv3LWstcIc8XfnwKu3mAFyqBmSEcgfDhc9AoE68yKyPuPN1759OwTqzX2nEmagnYxBTtnuX3q8eTDksq93fCcIKSV3vLCcd9funW5VkO7g77eettuI8Bn9j+4c8hNZfrrjSDdBOQjHVMAthLAAfwLOB6qBJUKIN6SU645syw5eOBymqGhXvtvdd999WOt/+OGHmTp1Kvfffz+jRo3i5ptvBuCNN95g6dKlzJw587DuTzn6NYYbue/T++id1huP1UOxt5jL+l1GZUclgXiA6aOn49TNGzdEkhHWtqzl2S+fJWWkWFS3iD8u/yP3n3b/PuuXySSxTZsIL1mCXlBA2re+deCNSyXMkdM1/4TaFVCznGRUIxUK498Ypq7Oy+knCS70R/AudyIBT1mQtIwE7rwYlrLTaIldRvNfnkE2hrFkZeE85bSv2WOdjrFg+xshBGT2Obhtupaf2iX9Ix42A/fu+rn4lENr3wlCSkksufcFdPsqu6E+wNamIO+urWfaaSVMGlmIAAbkemkIRCn0OXHbj6mwQFGOGcdUSokQ4nRghpTygs7nPwOQUj64r22O1pSSY4nqr+PDa5tf45ef/5I5l86hLLNs5/KOuXPxv/ovks3N9Hr0Eex99g6kHlj4AHM2zeGC0gsYZMsiFG7ke+Nm4HWk7yzT/uqr1P18V0De519PoYc2kSi7iK0rnsNqsVE88kZcnlwzv7lxg3naP9wC79xDsnoJSSH4LOnCtyoP1+YoopuPJ1deguKzmtFGXwOn3GyOtBafCr4SYhUVGKEw9oED0PYx77yiHA8efGc9T80vB2BUiY/Hrx7ZbV4uQFsozn2vreGdL81RbZfNwqL7Ju53BhBFUQ7e8ZRSUghUdXleDYzds5AQ4lbgVoCSkpJvpmWKchR6csWTDMgYwOi80SysXUimI5OBGQN3rjdCIWp++KOdz9tefpn8++7bq567R9+NlJJXN7/KjisBcv+1gWsu/ot5ARoQKzf/+a+6bjQjXlzGj2fdwYIhGqz7w66Kts7GhYYnlaJfPMrJ0Rh5yRTNFguzi0vJrUtxyXKDwk1R3hgr8HstDG1xUnvTt7iz11Q0t9v8QtBRZ6YyCAFFuz7buvuyoCjHo6XbzCndbhpXyt8XV3Hu7z7mwmEFnD0whzMHZLOlMUhzMEYoluR/55dT0x7hxjNKOXtgDsWZThVsK8o37FgLuA+IlPJp4GkwR7iPcHMUpcek/H78r79OvKaWyK2TyU7Lx2szp2ELJ8I8tfqp3cpfM+ia3U49JzpvV53/wAME3nuP4Acf0uTzkXnddVjS06FhHTSuwxtsYEZE48amEJnhVq4uLOQ3VFMxezxFtgwuGns3ya1fEkoXPFi0kll2yQ0LE4T6ecnPLOTM4nOwW6xUbXyT1kgLfpuXTW4bf4o27WzLbWtymPjvGgDklRdy3g+vo096HzIde0w9B5BWcLi78qgQiiVx23WWbGtFAGNKuzn2bjQGojtnOFBODA0dUS4f2YtfXTqUO87ux7MLKnjpi0reWlO3V9k0h85zN45hQlnuCTcvsqIcLY61gLsG6HoVVFHnMkU5IcQqKmj83e+w9+mL55yzaXriScKLFgHwWMcLrB2RzvuT38dtdVMXMv/xDsocxPii8UgpuW3EbbvVl6gzA257v77Ic8+l4de/pvmPTyCMONmXnQ6zLtntxh+lGX3g8oeYEN7MCxv/zuveNCLE+f2KB/nbxgTVXo1LQ2H6XtyXmtdr+fWCYbhGjyb5ZStGIMiweBkymUIaKRwDy9C+fx0R4qTZ02h7+zaSJRbcZ5xO9ve/jzWv8Bvq1aPDRxsbuemvS7jh9N7MWmhOfXdGvyx+OHEAo/czL+6CLc1c98wX/PSCMv5jQn8AYskUdn0fc0srx7yUIan3R+nlM6+5yE1z8LMLB/P/vj2IhVtb2Nocol+Om4J0J267hXSnVb0fFOUIO9YC7iXAACFEH8xAeypw7ZFtkqL0HGkYxCsqMCJRIqtX0fDr/wbDIMiHtPzlLwBUXX4K9o+WcOd7Fn6a28HC2oWc1/s8aoO1ANw39j5G5Y7qtv5kgxlw6/kFZJx8Mt6J51IzfTotTz2FfdVvsLoN9EkPo4+5AnSbOfWbZuFHySjTht1IoaeQhSue5WcrHqM5qtGcL7jgsudIKzmH5JAXaXj4YcJfLAbAkp6OnpcHugUZiRKa/wn85S/o+flEkklSzc1k/+AH5Pzwrm+gZ48+89ab0+LNWrgdh1Vj4qA85m1oZOrTixhckMabd47b6+Ygy7a3csss8xqV33+wCatF8NcF2whEk7zzo7MozjyAuaaVo069P0pemn2fo9FNgRhJQ+4MuHcQQnBG/2w1s4iiHIWOqYBbSpkUQtwJvIc5LeBzUsq1R7hZitJjAnPnUvPj6Tuf2wcPpugPvyfl9xNZtZq2l15i6WmZbM/M4sfPtTCuwsnc7XM5r/d5O0e4C9z7Tr9I1NaBAOu8HyNOvQlr41qy85ZSu0Gj+lNzjl0x/2n6vDIR+4ABO7dz6A4KPeYI9OmjbuaF3mfT9vgkavMLOLXQvKlL5rTrSL/0EoTVSqKuDmuvXmjOXQFC60svkayrJ9nYiLDZsPXrS8Y11xy+zjvGLK9sY2yfTH539QhyvHbsuoXa9ggvL67kiXlb+Nm/1jDllGLGlGYSTxo88OZaXvyiEoBB+V421Af4zdsbdtb3/eeX8tebTqEg3bmvXSpHgWgixcuLK3lvbT1leV6GF/n4z3+u4txBuTxw2VCKM11EEyme/qScOn8EMG9GA1DoU6+tohwrjqmAG0BK+Tbw9pFuh6J8EyIrVwFQ+Mc/YM3Px15Whma3I6XENnQImdOuY93b07CPKENzr2K0KOFnFe+wzb+N6oD5TznHmbN7pVJiVCylY/5imv/0Jyz2FKJ8LpTPBcBTmM2A63QCgx8i0dRK0+OPs/27N4CUuE45hYxrpuI+44zdqrS/8DZ6wuCiM2/Cbtl1tzJLujmLib1fv72OLfNadXIKzPzrH7ywnLW1Hdz77UEUZewale7lc/KjiQP4ZHMz/1xWzbtf1rP45+fx9CflvPhFJbec2Ycfnz8QXROc/F/vE46n+NcPzmDh1hYeeW8jpz84j2vHlvCbK046gkd4YmoKxHhuQQVDCtIYmOelLN9LUyDGz/61hm8NzePqMWZ25PR/rOSdL+vpl+NmUXkrsJ1Cn5NF5S2Mf+QjCn1OEimDho4YXocOEk4uySCWNBhelL7/RiiKctQ45gLu40V3d5o8nCoqKpg6dSotLS2MHj2a2bNnY+tmmrTVq1dz22230dHRgaZpLFmyBIdDXXx1tIhu3IBj2DDqxvTmyZVPsnnzZuKpOOFkmJSRYnjOcDa1beLivhej5zcwKJFFWYZGIB4gkAjQ39cfi7ZH7ubCJ2n49SO0l7vRdIPs0Va4ewM0rTfvGJhWiJAGaZ3bCauV4Lx56Hl5dLz1FoH33werFe+55xJeuhQ9O5vYxo24zzgd31VXHYFeOvaEYkk+3NCIJqCqNcLS7W1cOqIXt5y19ywrukXjtTvO4N219fzgxeVc98wille2c+6gXO6/ZMjOcnOnjyeaSNE/18vJJRn86aMthOMpXvqiUgXcR8BfF1Tw54+37nx+amkmmW4bH6xv4IP1DZxTlkOaw8q8DY1cPaaI304ewUcbG1m4tYVpY3ujWwT/WFLFtpYQoViKh68s4ZwydfdMRTlWqYD7KJVMJtH1Q3957r33XqZPn87UqVO5/fbbefbZZ7njjjv22se0adOYPXs2I0aMoKWlBatVTRXVk9peeYXAu+/hHDWKrO/fgrafLzdSSmIbN+GZcA6vVbzFx1Ufc3bR2fjsPhy6A01orGxcSSwVY2TOSKz5VaSa2plz2RyklNQEa8wZS4wUNG2A8o9h81wSaz+hvTwPi82gz5/uxzrqAnM+7K4zf4hdQXrmtOvInHYdAHn33sOms8ZDIkFg7lzs/fsR374dNI3ce+9Vc18foBe/2L5b+segfC9PXNN9nj2ApgkuHJbPdWNLWF3t55TSDO799qDdynQdGQd48Dsn8aO/m3enjScNbPrRfTv6o9W/V9eSTEkmDs7d7y20U4bkb59vY2VVO+vrOtjSGOSsAdlMP38gT88v33lnx9IsF9tawlz2xAKMzhvXfGuIebfOCWW5TOgSVE8/f2C3+1IU5dijAu6jyI033ojD4WDFihWMGzeOxx577JDqkVIyb948XnrpJQBuuOEGZsyYsVfAPXfuXIYPH86IEebtmrOysr7eASj7FPz0Uxp/9xixDWaQFfr8c6y9CvBdeeU+t0nU1JBqbcUxZAib2z6jLKOMJyc+uVe5pJFE13RqC5YQ3bABmUwidJ1Cey6JxkaMebchtr6DECCdOWz7uC8QpuAHl2M96/qDOg6Lz0f/d99BuFxoLhea3U4qGMQIBLAWHJ9T9fWEho4YTquFi4cX8NqKGr437qvnDxdC8N8HMVI9aWQhQgh++PIKtjYFGVyQ9nWafELaWB/gzpdWANA7y8XVY4qpaY8QTxpsbgjw/PfGku4yg/Bl29v4r3+vIz/NwbDCNMryvNw4rpSTSzL43+tH82WNnw/WN3D9ab2Zs6yaNTV+1tV1kOO1c1o/9dmrKMe7Ez7gfnjxw2xo3fDVBQ/CoMxB3HvqvYe0bXV1NZ9//jkWy+5pABs3bmTKlCndbvPxxx/j8/l2Pm9pacHn8+0cIS8qKqKmZu/ZEzdt2oQQggsuuICmpiamTp3KPffcc0jtVrrX9vLLtL30MrEtW0BK3OPPouiJJyi/9DLqfn4/4aXLcI09Fd/ll++1bXjxEgCso0eydOnvmdh7Yrf70DXzdbYVFpJqaWHDsJMQLhcyEgEpQUiE1gs9Px9hd5H0l5Pzox/iue32Qzoma+Hu0/VZPB4sHs8h1XWiagvFyXTbeOg7J3H/xYPxuXrmzMCIzhzfjzY2qoD7EMzfZM4c89srh/Pb9zbwyHsbd1u/ts7PGf3MGUEqms0UwVduO52SrL1nhxlWmM6wQvP1uO3sva9pUBTl+HbCB9xHm6uuumqvYBugrKyMlStXHtZ9JZNJPvvsM5YsWYLL5WLixImMHj2aiRO7D+yOR7GtW4lvr8RzztkIzTzlHq+uRs/O3m+6x1eJb9tGzd3/SXTdOhzDh5N9xx1k3nQjmseDEILs226l9W+z8L/2GqGFC/cKuBsffZS2V/6JxefjnsoniKaiu90hsju+KVPR3C5SFcsxYqBVf4xVNpLQi0lkjSNeXY/mcmEfOJCsW29VN8A4glpCcbI8NnSL1mPBNkDvLDdn9Mvibwu2YbNoLN3Wxob6Dnpnubnn22UM7aUuutvTY3M3cmqfLDLdNp6ct4WyPC9Xn1LM5aMK8UcSWDTB8u1t3PL8Umrbozu3q2gOY7UIevnUNTCKouzthA+4D3Ukuqe43e5ulx/MCHdWVhbt7e0788Crq6spLNz7JiJFRUWMHz+e7GxzhOaiiy5i+fLlJ1TAXXffz4msWkXWbbeRdtFFhL9YRMNvHsTWty993/r3IQWlUkrqZ84kum4dGd+9nrx770Xs8SXKd+WV+K68kobfPkLbCy8gpdy5r0RdHS3PPGumbDx4H5/VzaDEW8KVA/ZIP4m0w+dPmBc6FgxHf/5yMoNmnig2oC9w8WNwys2H0DNKT2oLx8nowUC7q59dOJgpTy/k12+tp9DnpE+2m/mbmuif61EB9x7W1vr547wtwBZ6pTuwWy08NsVMubPpGjlecwaeMweYn5m17ZGd225rDlGc6dprrnRFURRQAfcx42BGuIUQTJgwgTlz5jB16lRmzZrFpEmT9ip3wQUX8Nvf/pZwOIzNZmP+/PlMnz69mxqPTzKZJLJuHQAtTz1Fy1O7boMeLy+n/R//wHf11TtHvmU8DhYLwmJBGgap1laEw7EznSJeXU3g3XdJNjUR+nwheb+4n8zrrttvG6z5+ch4nFRrK3pWFpE1a2j9618BmP/AJTxRPwOAR89+lHT7HsHRmn/Cp4/ueu7MhHN+BvnDIVAHLVtg+NVfp4uUHtIaitMv55tJwzmpKJ0F955LNJnaOSf35D9/zorKNlKGpDUU3xlInuheXly583eLRfDYlJHdfilxWC1ke2w7A+5YMsWaGj+DC7zfWFsVRTm2qID7CAmHwxQVFe18fvfddx/W+h9++GGmTp3K/fffz6hRo7j5ZnOU84033mDp0qXMnDmTjIwM7r77bk455RSEEFx00UVcfPHFh7UdR5toMkowESTbmU1sazkkEiT+83tkrqtFz8jEM+Ec7AMHsvVbF1A/4wFCi76g6PePA7DtumnIeJyM666l7eW/E1u/HqxW+r31b2wlJdQ/MJPQp58C4Dr9NDL2cUaiK73AnJ0gUVdPoraO7dOuR6ZSRE87iSdaXuXifpcwecBkBmeUQdNGSC8CW+dZkPKPIb0YvvVrqJgPY26G/GE90m/K4bUjh/ubkrHHvkaV+PjLpxUM+PnbGBKyPTYG5nl54eaxbGsJUe+Pcnq/rBMq7SgUS/L6ilq+M6qQx6aM/MryBelO/r6kiqvGFPHv1XXUtEf49RXq709RlO6pgPsIMQyjR+vv27cvixcv3mv5ZZddxmWXXbbz+bRp05g2bVqPtuVo8tDih3h186vcNPQmhn5WTQnw08As3nv8y93Klf7j7zQ9/nsCH3yAEQqRbG4mumYNAPW//BXCZsN7/nkE3v+A1hdeQHO6CH36Kdl33UnG1Vdjyc4+oGDFmm/O7LFt8mQQAj03lz5z/slfauYgVm3gV6f/CqfuNFNH5t4PVhcUnQL9JsCGf8OoaTD0cvOhHBMaO6KE4qlvNODe0xWjivh0czMb6gOAeSOVuesaOOOhedR3mHnJ3xvXh19eumue72TKOK7SJZIpg8XbWtlUH+C7p5fy5qpagrEk144tOaDtRxb7WFPj58o/LwTg2rElu03ppyiK0pUKuJUThhEK8XmlOQL90YfPceFfU9RmQG0m+GP+3VI2HIMGkXH99QTnz2f7Td8jvtW8gUXJc8+i5+djLSxEs9vZfsONtD0/GwD32ePJuuUWNPuBn5639to1lV72HXeQMe069MxMNq/dTLErH+e2z830kM+fAIcPsvqZo9kV86HfRJg44zD0jPJNWVTewu0vLAM4ohfXDemVxls/PIsP1jcwfkAONl1jwqMfU9ka5opRhbjtFp5bUEFNe5ifXjCIiuYQ//HScu6c0J8fThxwUPuq90d56pOtnFSYzuUjC9G0Iz9qPnvhNp76pJzqNjMl5NPNzXy4oZGBeR5G9844oDpmThrKf0zoz6ebm0hzWjl3kAq2FUXZNyGlPNJt6FFjxoyRS5cu3W3Z+vXrGTx48BFq0bHneOiv9jlzqP/Ng2zKTfL890v579kGxoYtrLhiCA8O2sSYvDEMzxnO9UOuJ9tpXhBlhEJsHHsaJJMAFPzmN/i+c8Vu9Sabmmh55lm855+Hc/ToQzoF3/7qv3CPOwNrfj7BeJD/WfU/zF43m3NjBn+ord5VcMoLUHYxzJ4Ermy4/H/A6jz0TlG+UU2BGKc9+CEpQ/LI5OF85+QiLEdB8LnD9pYQf12wjennDcTj0PnDh5v564IKQrEkHrtOR9T8O3jvx+Mpyz/wXOVbZi3hg/Xm9HrZHht3n1/GtWNLMAyJEHzttJVtzSHuenkF/+/CQYzrn/2V5VdVtTPpTwsA+OkFZTun+huU7+XXlw9jTGnm12qPoignLiHEMinlmG7XqYBb+SrHen9FN22i4rJJYLVCIkE83YXNHybz5u/hvus2Jr1xBY0RMyCYNngatw6/lcZwI33S+7B9wvkkGxvJ/9Uvybjmmp5tZzLK7R/czrKGZQz0FHPb1uV8KxyBIZPg3F9A9sGNLCpHl1eWVnHPnNW8eMvYAwoMjwb/t7KGH/19JULAaz8Yx/XPfIFV1zh/cB4SycxJw3BYd5+BJ5pIYdc1hBBUtYY567cfcde5/emf6+Evn5azrraDO88dwB8/3AzA9af9f/buPDyq8mz8+PdMMslk3/eFAIGwh01QxAVFRKuiVRR3K77uVvu2rrVqrdra1tr219al+rbV1uKuKLgBAi4ghn0JW0JWsk8yk5nJ7Of3x0kmCVsSMpP1/lwX15w558xznoRA7rnnPvczgl9eMvGkMt9byxq57fXN1DY7iA3Xs/6BeUQfYzVIu8vD53tqKCgx8t6WShQFvn7wHGLC9KzcWcXhphauO3XEUV+LEEL0xIkCbikpEUOe+eMVEBSE570X+NOrt3LXwTTCxyWSsHQpwYZoVl+5mo+KPuKXG37Jvwv/zb8L/w3AbVNu4+IRI3DX1mKYODHg8/zXzv9jc81mnm1o5sJDWgaOuwsk0B4iPt5RRVqMgTmDaFXBi6ekAzBjRByZceH84aqp/OKDXbxZUA6AgsJTl01CH6Tjp29tZ1t5I8X1Vh65YDxL545k2fda14/Lp2eSkxjBOeOSOf/59b5gG+D1jaWMSorgkvx0Ig3BhAYfP+httDr5+1fFhATrUFB4ftV+4sL13H9+Hn/4Yj9/+7KIhy5oX/K+weLgmr9/R3G9BZenPbl0//l5xIRpgfmFk2WFVCFE4EnALYY0VVUxr1xJxGmnsV1nZON4HY88/P8YEdN5Ke2LR1/MpMRJLP1sKbmxuVRaKtnVsIvbnv0NTe+8e9yAe59xH8uLlrNk3BKyorJ6NdevCpcxxe7gwhHztZZ/6dMk2B4i9labWb+/jvvPzxtUnT90OoVFU9t7+J83IYXzJqTgdHtZ/NIG3iwop8Xl4dYzR/HulgqiDcFkx4fz9MpCvthTw6YSI0lRoeQkap11ogx67jtvLA+8s4Ps+HC+/NnZ3PpaAb/8aA+//GgP2fHhfHbfmYSFHDvovu31zWwqMXba95drpnN6biJf7KlhR0UTACabi/JGG8u+L2NfTTPj06J5+IJx5GfFsmpPDRfnpwfoOyaEEMcmAbcYUlS3G/uePbhra2le8yWm994DIPHOOzlkOkSwEkxmVOYxXzsyZiSfXv4pep2en3/9c76r/g59ejpJP77nmOcb7UaWfr4Uk8NEpD6SO6be0b1JOpoh2ABBrR99ux38e9X/st3VyK2xY+HyV+DUO7WWf2JIWLuvDoArZw6Nv9OQYB1v3DKbX360m7cKKli+/TCKAp//5Cy+2FPNLz7czb6aZs7OS+La2SM6vfaS/HSWbzvM0rkjCdIp/OWa6Yx/7FMAyow2vtxXe8ysc22znU0lRu4/P4+M2DCe+2Ifb9xyKlnx2jLqIxMj+K64AVVVuemfm9ha1uS73p+vnuYb5/IZx/73L4QQgSQBdz+JjIzEYrEEbPxDhw6xZMkSGhoamDFjBq+//johIZ3bkLlcLm655Ra2bNmC2+3mhhtu4OGHHw7YnPrCocVXav2xWxkmT8bbYiPqvPkcKniMrOgs9LqjazzbhARp36PcuFw+Kv6I+pZ6302UR1pXvg6TwwRAibmkexN0O+FP+eBxwaUv4Mo7n2vfXkCh00i+y8NVF/5OOy9jevfGE4NCQUkjIxMjhtQCMxGhwTx7+RRSY8L48+oDXDg5jdQYA9fMHkFeajQzRsQd86ZQgz6If98y2/c8LCSIt28/ja/21/HyV8V8X2Lkwslp1DU7SIgI8dV2byltBOC00QlMz45j0dT0Tp8W5CRE8P7WSj7fU8PWsiYuzk9n8YxM5g6SenkhxNAmAfcA1bYs+8l68MEH+clPfsKSJUu4/fbbefXVV7njjs4Z2LfffhuHw8HOnTux2WxMmDCBq6++mpycnF7Ovn+oXq8v2NanpxNz+Q9Juusu3/FiUzE50TndGmt26myClCAu/fBSxsWN48/n/JlwfXincw5bD6NTdMxMmUmpuRQAt9eN0+M86lwKP4Y1T2nbtgbt8c1rqbr+LQqdRqY5XPzfiDaA9AAAIABJREFUpR8SnJTX8y9cDGj/3ljKqsIarhiCmVVFUfjxOblMTI/mrLFJAATpFGaN7Fmnj1Ny4jklJ55NJUY2HTJSVGfh3OfWAfDjc8eQHR/OC2sPEhqsY2J6tO/aHeUkav/mXlxXRERIEL9fPOWE9eBCCNGXhs4qBkPATTfdxO23387s2bN54IEHTnocVVVZs2YNV1xxBQA33ngjH3zwwVHnKYqC1WrF7XbT0tJCSEgI0dHRJ33d/uY1mwFIefghctes7hRsW5wWDpkOMT6he91WJiZO5J8L/0lYcBjfVX/HxqqNR51TZakiKSyJUTGj2N2wmztW3cEZb5zG7Ddmc+7b57Lk4yW8svMVcDtg5c+grlD7k3MGXPQ86II5/Pb1ANyTfwfByRJsD2aFVWZufa0As93l21djtvObT/aSHR/OvT3sXz1YBAfpOH9iql86fMzLS2b3YTM3vNq+aNefVx/gZ29vp9Hm4rdXHD+IPiUnnihDMFvLmpiTmyjBthBiQBn2Ge7qZ57BUbjXr2OGjh9H6iOPnNRrKyoq+PbbbwkK6vzLYt++fVx1nKXC165dS2xsrO95Q0MDsbGxvgx5ZmYmlZWVR73uiiuu4MMPPyQtLQ2bzcbzzz9PfPzg7UHrNmo3UwXFH90FYlfDLlRU8hPzuz3e1OSprLxsJXOXzeXeL+/l/UveJzcu13e82lpNWkQa+cn5LNu3jFJTCec11WPW6dgf6sbsNPOPXf9gadw0lOYquOIfkD4VYnNAp4ORZ3H46yehaQtpEy7v9dcv+k9JvZUrX9pAs93Nvf/dyt3njKG0wcqjH+zC5vTw0vUzfLXG4vgum57Brz/ZS2VTCw9dMI6bTx/J378qxqAP4qY5OSfsW54eG8bqn57FP78pYeGk1D6ctRBCdG3YB9wDzeLFi48KtgHy8vLYtm2bX6+1adMmgoKCOHz4MI2NjZxxxhnMnz+fUaNG+fU6geR1OHCWlKA6XXhMWj11cOLRAff6ivUoKExKmtSj8fVBeq6bcB0v73iZVWWrOgXcVdYqJiZM5Acjf8C84u+JKPgn2LUbtait5z/RkfwmIZ76T35KEkDqFIjv8L1NGM3h7FPQmbaREpHSw69cDAQrdlSxZm8t725pX6Doy311fNl6kyTAC9dOHzR9t/tbcpSB5XefTkVjC+dPTCVIp3DXvNyuX9jh9Q8sHNf1iUII0ceGfcB9spnoQImIiDjm/p5kuBMSEmhqavLVgVdUVJCRkXHU69544w0WLlyIXq8nOTmZ008/nYKCgkETcKtOJyVXX41jT2Gn/W0ZbpvLhlt1U2Ot4b+F/+Xi0RcTHdLzkpl7pt3DiuIVHGhs7x28z7iPw9bDnDviXBQg4us/ASpEpsItX8DeleRueRlwcbBhDx/HRLFs7Z08PucJ5qTP8Y1zyHSI5PDkE97IKQYWp9vL7z/fx4GaZr7cV0dbKfFL18/gzDFJHKy1cKjBSrg+CLvbwwXS57lHpmTGMiUztusThRBiEBn2Afdg0ZMMt6IozJs3j3feeYclS5bwr3/9i0WLFh11XnZ2NmvWrOH666/HarWyceNG7rvvPn9PPSBUp5Oa3/8ex55Cku+/H0Wvp+aZZwAITtDKYm789Eatbjt+PBEhEfxs5s9O+npj4sawv3E/9S31vLj9Rd7e/zZxoXEsHrMYzJWAChf8DmbeDEHBcOrtjB53Pnx4CbemtWavrVU8u+lZFuQsYF35OtIi0lhTvoYrxl7R22+H6EOrCmt4eX0xAAkRIXzz0DlUm+y+XtOTM2OYnBnTn1MUQggxwEjA3U9sNhuZme1dC/73f//Xr+M/++yzLFmyhEcffZRp06axdOlSAJYvX05BQQFPPvkkd911Fz/60Y+YOHEiqqryox/9iClTpvh1HoHQvOZLKu68E4C4G64nYenNAL6AOygujs9KPmOvUavN31a3jSfnPEmcIe6krzk+fjxry9cy7615ACzJW8IdU+8g3hAPe1dqJ6Xla8F2q8TYkdw/834OVW8hMzwFQ2w2v9n0G17c/iIAhcZCFuYs5JHZA+tTFnF8pQ1Wnl5RSFqMgWcum0x6bBgGfZAv2BZCCCGORVFVteuzBrGZM2eqBQUFnfYVFhYyfnz3ulWIgff9Kr70Mhx79xI6Jpecd99F19pfvPnLL7F+9RXFt8znti9uA2Ba8jTOzDyTmyfdjE45+aY8zc5m1pavpcnRRLwhngtHXtjelmzts7D21/BwBYRGHncMk8PE3GVzAVh1xSqiQqKObh8oBrQb/28T35cYeeG6Gb42eEIIIQSAoiibVVWdeaxjkuEWg4rqcuHYu5eEO+/g1RkmLmk+wMQEbdn1qHnzKBwXwR1f/A+JYYm8ceEbpEX6p342KiSKi0dffOyD1TsgYfQJg22AmNAYvrjiC8qby+UmyUGo3GhjXevy7BJsCyGE6AkJuMWg4q6vB6ApJpg3Dr5FaGiEL+DeZ9zH/evvJ8GQwFsXv3XcFSL9yuOGQ+shd363Tk+NSCU1QlqWDUYrdlYBcP5EebMkhBCiZyTgFoOKu7YWgEMhJnBChaUCp8dJsC6Y5wqew2g38rdz/9Y3wTbA2zeCw6zVb4sha+2+Wn7zyV6SokIZnXTiTzKEEEKIIw3bgFtV1aOWBhZHG2g1/q7WgHs3WrZxc81m5i6bS4u7BYBbp9zKGZln9M1kWppg/2dasD3z5r65pugXK1uz23+7drr8vyGEEKLHhuXS7gaDgYaGhgEXTA40qqrS0NCAwWDo76n4tGW4C9wHATDajbS4W9ApOrKjsrly7JV9N5lD68HrgoXPgqHn/b3F4ODxqny5r44fTEnjlJzBuxKrEEKI/jMsM9yZmZlUVFRQV1fX9cnDnMFg6NS+sK95mpqwbd2K48BBQnNzcdfWQVAQuzxlRIVG0+xs5uyss/ndmb8jWBdMsK4Pf6QtNdpj/OBYKEicnK8P1lPX7OAHsoCNEEKIkzQsA269Xs/IkSP7exqiC26jkQNzTu+0z5mRiDFOQVXg4VkPU9RUxK1TbsUQ3A9ZeLu2lDwGWeSkOz7cVomqwqXTjl71dCBbvu0wMWF6zh2f3N9TEUIIMUgNy4BbDA62TZt82ymPPELNM88QUlnPZ+fquGvqPVw06qL+rae1N0GwAfQDp+RmILt3mbZS6mAKuFVVZUNRPafnJhAaHNTf0xFCCDFIDcsabjE42DZtAr2enHfeIe766/BmpFAbA6ff+Utuz7+9/29es5vAENu/cxgkKhptvu16iwOn29uPs+m+u/+7lcMmO6eNSujvqQghhBjEJOAWA1bLtu1EnDKTsEkTURSFdx8+jQfvjuLcsRf299Q0dpOUkxyDw+3hnv9u5T/flfr2/eObEt/2zKdWkfeLT3j160P9MLvu21rWyIodVcRHhHD+ROmdLoQQ4uRJwC0GJNXpxH7gAIYJEwCwuWysqFnDglELB85y6C1NECYZ7iP9euVePtp+mN+s3Mu+6maK6iy8+vUhLs5PZ+HEVPKzYlFVeHrFHvbXNANaffeb35f188zbWR1u7l22jbhwPesfmEdytJQNCSGEOHlSwy0GJEdREbhchI4fD8Bre17D5raxKHdRP8+sA7sJIuVGuo7KGmy8tqEEgGaHm/P/uJ7EyBAAbjhthK+tXqPVyZm/+5I/rz7ANbOyffXdV52S3R/TPsq28ibKjDZevG4GkaHy36QQQojekQy3GFBadu3G3dhIyzYtAAubOJGipiL+uu2vTE+ezvTk6f08ww6khhvQssFer9bT/rPd1XhV+NOSqb7j9RYnQTqFSent5TdxESEsnpHFxzuquOaV73z728bpbwdrLQBMz5a/XyGEEL0nAbcYMJwVlZRccQXFl1yCecVK9NnZ6EeMYHvddgCemPNE/98o2ZG9adjXcL+4roiJj3/GvW9uY0tZI1/sqWF8WjSLpmaw+qdncXZeEgB5KVGEhXTu8nHTnBzys2K54+zR/PxC7ZOM2maHX+dXb3Fw5382U9fDcQ/WWogyBJMUFerX+QghhBieJOAW/cZtNKJ6tW4V7vp6Sq+/HgBPXT22ggKizpuPoijsqt9FpD6SEdEj+nO67az18O7/QEsjhA/vlQe/OVgPwEfbD/PDv31LQamR8yakADA6KZLRSZEA5GcdnSnOTgjnw7tO58GF48hN1s6rbLIddV5vrC6sYeXOak55ehU7Kpq69ZrKphbe/L6c3OTIgfUGTwghxKAlxYmiz7hqazH+458AqA47jW/8l5SHHyL+xhsxr/wEd1UVmX/9C/q0NNzGRsKnT2Nb7Tbe3v82p6adik4ZIO8PN/wVdr6lbU/uw6XkB6DKxhYMeh12l/bGyavCgtaAGyArLgyAqVkn/iQgo/W8isYWZvjxfZXN6fFtv7SumL9e23VJ0h8+34/T4+Xa2QPkDZ4QQohBTwJu0WfKly7FceBgp31N77xL3PXXY165kpDc0USde26n48u3LwfgsVMf67N5dmnHWxCZAhf9ERJz+3s2/UZVVSqbWrhxTg4PLhxHtdnOpkMNTEyP9p0zNTuO0GAdp3bRxzozLgxFgaI6q9/mV9pg5T/faZ1PxqZEsqfKfMLz1+ytobCqmfe3VnD1rGyumJHpt7kIIYQY3iTgFn3C09yM48BBEm6/Dcv69YRPn0FIdjY1zzxD7XPP0bJtG6mPHx1U76jbwZz0OWRFZ/XDrI/BbgJzBcz/JYwbIP3A+0m9xYnD7SUjNowgnUJGbBiXTescpE7NiqXwyYXodCcuzQgPCWZiejQbixv8MjdTi4uzfrcWgMTIEC6dlsFvP93HaxtKeGldMXaXh1dvOoWpraUuFoebm/9ZAGjlL3eePdov8xBCCCFAarhFH3EWFwMQNnkyo957j9RHf07EnNMAML76fxgmTiR2yZJOr7G5bBxoOsDkxMl9Pt/jaijSHhOGb2a7TZlRy0ZnxIad8Lyugu02p41KYFtZk683d29sOmT0bddbnJw7TitzeezD3QA0WJ1sK2v0nVNSr30tv718Ch/edTpZ8QOk17sQQoghQQJu0SccRVrAHTJqlG9fyOj2LGLc1UuOukGt1FyKV/WSF5/XN5PsDgm4ff60+iDhIUFMyfRPp5Yls7KJCddz2V+/YWeFqVdj7ars/Pq81Ch+OD2DmSPi+OwnZxKsU6htduBwe1j0l695YrkWiE/209cihBBCdCQlJaJPOA8Vg15PSFZ7aYiiKKT84lG8ZjMxP/zhUa8pNWtLg/d7dxJVhf2fQtZsKPsWUCB+ZP/OqQ8ZrU7+8MU+NhQ18MDCcb5lzjeXGLlyZpbfVmEcnRTJR3fP5cI/f8UfV+3n1ZtO6fZr3R4v/9pQSrWphcKqZr4+WE9uciQ5CREsmKhlt59bnA9oP3eJkaHUmB08vaKQ7R2C+5yECL98LUIIIURHEnCLPuEsryAkPR0luPOPXPy11x73NSXmEgCyo/p59cGvn4fVv2x/PvEyCB4+/Zl/+tY2vjpQj9ur8v/WHOD8ial4vCpWp4fYcL1fr5UaY+DG03J4ftV+9tc0MzYlqsvXuDxefvzfrXyyq7rT/rPHJvHoRRN8zzt+gpIcHcq7Wyo6nR9tCD6qV7gQQgjhDxJwiz7hqqhAn9mzrg+l5lLSItIwBPsng3pSvvkzrH5SW1Fy7PmQMxcmL+6/+fSxBouD9Qfque3MUVgdbt7dUomqqljsbgCiDP4NuEFbAv6FdQd5bUMJT1167Pp9r1f11Yav3FnFJ7uqeeTCcVwzewQhQTpcHi/hJwiekyK1N0xx4Xo+umcuT68o5KpTBsiNuUIIIYYcCbhFn3CVl2OYOLFHr9nTsIfRsf3YLaK5Br74BaROgZs/hZChX26gqirLtx/mpXXFvv7aHq/KJVPT2VDUgMXhbu1OovW3jgr1/38hcREhTM+OY1flsdv4FddZuOLFDZydl8Td83LZWGwkyhDM0rmjCGoNwkOCT3x7ikfVlpC/cHIamXHhvHDdDP9+EUIIIUQHEnCLgDN/9jkek4mQrO5nuOtb6ik2FbMod1EAZ9aFhgPa4/wnhkWwDXCg1sK9y7Z12vfzC8czLjWaKpMdgJIGK5GtgXaUITD/hYxOiuSDbVo2vWMpiKqq/G1tEUark/e2VPLtwQbcXi8zR8T5gu3uGJcazdp9ddwh7f+EEEL0AQm4hV+oXi/Nq1cTmpND6Jgxvv2WdeuovPdeoHNXkq6sK18HwCkp3b9xrldUFer2QmIeOMyw5ldga+0JnTjmxK8dQuqbHQDcf34eF0xKpcxo4+y8ZABGtt5QWFJvJSdR244MUMCdmxxJs91NubGF7IT2Fn0rdlbxzuYKls4dycJJqSx+cQMAC1pv5Oyun5w3hhtOG0F6Fy0NhRBCCH+QgFv4he37Airv+TEEBzN+107ffvPKlehiYsh64QXCpuZ3ayyv6uWlHS8xIWECExN7VobSY6ZK8Lq1pdrXPAXTrgfzYSharR0PNkD08FlxsKnFBcC545MZlRTJqKRI37HUGK2WvspkJyEyBAhMDTdoATfAmb/7ksInF/puZtxZaSIkSMcjF44nSKfw9GWTKChp5MqZPau/Dg0OkmBbCCFEn5E+3MIv7IV7tA23G9XtxrrxOzxmM7aCzUTMnk349Gkouu79uJWaS6myVnFV3lXolAD+iDbXwMtnw5+maME2wNbXtWB71m1ar+3kCdDNeQ8FTTYt4I4NCznqmEEfREJECFUmO82+myYD85599sh4Ls5PB2D+H9bRaHUCUGOykxwd6isfuXb2CJ6/amqPykmEEEKIviYZbuEXjv0HfNvOsjLKbroJJTwc1WYj/sYbejTW7gZtEZKJCQHObu9bCdba9udX/QcikqD0G5h9G5zzKLgdgZ3DANPUogW2x2v3lxZroNrU0h5wB+CmSYDgIB1/XjIVr6qyYkcVn+2uZsmsbKpMdtJi+rFrjRBCCHEShk/qTgSUY/9+37Zt0/cAqDYbABFzz+jRWLvrd2MIMgS+Q4m1Tntc8LTW9m/UWZA9G874X+0mSUM0RCYFdg4DjKnFRWiwDoP+2C31UqPDjshwB6akBLS+2X+5ehrpMQbW7NXeGFWb7aTGSCmIEEKIwUUCbtFrXrsd+759GPKnAGDbtKnT8ZCROT0ab0/DHsbFjyNYF+APYCy1WqA95254sARCu15kZagz2VwnXMwmLcbAgVoL+2uaCdIpGPSB/S9EURTOGZ/MVwfqsTrcVJnspEYPn0WHhBBCDA0ScItes+/aBS4X0QsWAGD7/nuUkBCy//UvRvzn353aunXF4/VQaCwM/M2SoGW4I1oz2D2Y41DWZHMds367zeTMGDxelfe3VjI1K7ZHf7cn65L8DFpcHv67qQyn2ysZbiGEEIPOgKvhVhTlCeB/gNbP+3lEVdWVrcceBpYCHuDHqqp+1i+TFD4ei5XDDzwIQNS551L7u9/jrqsjbNo0ImbP6vF4+xv30+JuCXz9NoC1HiKTA3+dQaSpxUnMCTLci2dkkhwVSr3FyQWTetaK72TNHBFHYmQIz32ulS1NzYrpk+sKIYQQ/jLgAu5Wz6uq+vuOOxRFmQAsASYC6cAqRVHGqqrq6Y8JCo31669xHT5M0n33oh8xwrc/5dGf93isw5bD/GTtTwgPDueU1D7ov22theTxgb/OIGF3eThYa+HUUQnHPUdRFF9f7r6i0ynMHpXAih1VhOmDmJwR26fXF0IIIXprMJWULAKWqarqUFX1EHAQ6HkKVfiN4+BBKu+7DyUkhISlS1EUhdQnHmfEG/8hrIfLuAO8tOMljHYjryx4hdSIPsieWusgQjLcbd7fWkm9xcm1s0d0fXIfO2uMVvqzYGJKl8u2CyGEEAPNQM1w360oyg1AAfBTVVUbgQxgY4dzKlr3HUVRlFuBWwGys7MDPNXhy/j6vwGI/sEPUPRaGULckiUnNVZxUzFflH7BrNRZTE6a7Lc5HpejGVoaITIl8NcaJFbsqGJUUgSnjT5+hru/XD4jk7zUKCZnSDmJEEKIwadfUkWKoqxSFGXXMf4sAl4ARgNTgSrguZ6Or6rqy6qqzlRVdWZS0vBq69ZXVI8Hy/r1RM4/l/RfP9OrsdZXrGfRh4todjYzObEPgm2AvSu0xyz5kAS0doAbixtYMKFv6rJ7KkinkJ8Vi04WuBFCCDEI9UuGW1XV+d05T1GUvwMftz6tBDqu35zZuk/0g9rf/hZ3VRUxD9zf67E2VWltBBPDEpmXPa/X43WpogDev03bzpod+OsNAl8fqMftVZk/XkpshBBCCH8bcMWQiqKkdXh6GbCrdXs5sERRlFBFUUYCY4BNR75eBJaqqqiqinnlJ0QtWED0BRf0ekyj3UhGZAZfXvklY+PG+mGWXV2wWHucdSvoZdVCgLX7aok2BDM1S25IFEIIIfxtINZw/1ZRlKmACpQAtwGoqrpbUZS3gD2AG7hLOpT0vdpnf4v5889w19URMWeOX8Y02o3EG+L9Mla32E3a45m9z84PBaqqsm5/HWeMTSI4aMC9BxdCCCEGvQEXcKuqev0Jjj0NPN2H0xEdeG02mt56C2/rku3hM6b7ZVyj3UhyeB+WMjjM2mNodN9dcwDbU2WmttnB2WPlfgchhBAiECSdJbrN/PnnvmAbICQnxy/j9n2G2wxBIVJOgpbdfv6L/YQG6/q8v7YQQggxXEjALY7JXVdH85ovO+0zvf8B6Np/ZNpaAZ6sguoC7l1zLzW2mr4NuB1myW63WrGzilWFtdx/fh5JUaH9PR0hhBBiSBpwJSWi/3kdDg6ccSYAo1auJHTUSFS3G9uWLUTOm4dl9epeX8PtdXPPmnuwuCwAxBniej1mt9nNYJCAu9nu4smP9jApI5qb5uT093SEEEKIIUsy3OIoLVu2+LZtmzZh37sXV0UFuFxEnqkF4hFzTuvVNcqay7C4LOTF5QEwLn5cr8brEclwA7C6sJbaZgePXTRRbpYUQgghAkgy3OIo1m++AUUBVaX6iScASHtau1fVkDeWkcs/RJ9+zEU+u63EVALAY6c9xqTESeiUAAZ8dhMoOgiNan0uGW6AXZUmQoN1TM+WVoBCCCFEIElaS3Siqirmz78g/NTZhE2b5ttf9fOfAxAyciSGsWMJiozo1XVKzCUA5MTkBDbYBng2B54bry3nvvZZKN8oGW5gZ6WJ8WnRkt0WQgghAkx+04pO7Dt24CorI+biS4g47dROx8JPOYWgmBi/XOeQ6RAJhgSiQ/og8FW94GyGj+6Dta3L0FvrAn/dAeKTnVW8XVDeaZ/D7WFXpYnJGf75+xRCCCHE8UlJieikZft2ACLPPAPH/v3aTr2erL/9jcgz5vrtOltrtzI+YbzfxuuWXe/A2Atg/yeQNatvr90PXlhbxDubyymqswKweGaW79jnu2uwOj2cK0u5CyGEEAEnGW7RieNgEUGxsQQlJBB+6qmkPPwQY9av82uwXWoupdRcyhkZZ/htzONyWDo/H3MePFgC5z4R+Gv3sw+3VfqCbYCb/rEJh9vDh9sque/NbSRHhXJ6bmI/zlAIIYQYHiTgFp04Dh4kJHc0iqKg6HTE33gjwXH+bdm3ongFAGdlneXXcY/pyNKRpHEQFgdBg/PDHZPNxaZDxi7PU1WVarOdyRkxRIZqX+vafXUs21TOQ+/uZHp2LO/dOQe91G8LIYQQASe/bYWP6vHgOHiQ0NG5ARnf5DBx35f38cL2Fzgz80wyInvX6aRbjgq48wJ/zQC6+79buPKlDSzffviE59VbnDTZXPxwegbfPHSOb//jy3fT4vLwzGWTyYwLD/R0hRBCCIHUcIsOWrZuxWs2Ez7rFL+P/VXFV/z4yx/j9roBuG/6fX6/xjG1BdwXPQ/mwxAxeEsovthTw1cH6gF47dsSLslPP+65m0sbARibEkVMmJ7vfz6fRpuTZZvKmTM6gTEpUX0yZyGEEEJIwC1aqR4PDf/4J0pICJFnne3XsassVdy5+k7f83VXreu7pdybq7THMQsgJrNvrhkgz366l7yUKGaPiue1DaXUNTuOuxz7C+uKyI4PZ9ZI7fucFBVKUlQoj108oS+nLIQQQgikpEQATe+9z96Jk7CsXk3SvT/udY/tjkwOE4s/Xux7nhOd03fBNsCBLyA6A6KOnw0eDNweLyX1Vs4Zn8xl07RSnBv/b9Nxz91VaeLi/DSp0RZCCCEGAMlwCxqXLQMg+sILiL/5Zr+O/eL2F2l2NvP82c+TFplGUliSX8c/IZsRDq6G2beBbnAHnpVNLbi9KiMTI5iWHccFk1JZv//YvcSrTHY8XpUR8f574ySEEEKIkycB9zCnejw4i4qIueJy0p58EkVR/DOuqnLIfIg3973JpbmXMn/EfL+M2yOFH4HXBZOv6Ptr+1lxvdbeb1SiFkTnpUbxya5qPF6VIF3nv7P1B7RAPDM+rG8nKYQQQohjGtxpP9Fr5k8/xWu1EnHaaSh+zAKvLV/Log8W4fK6uCP/Dr+N222qCltfh/jRkDa176/vZyWtAXdOa8AdZdADYLG7O523q9LEz9/fBUB2vHQhEUIIIQYCCbiHuYa/v0LouHFEL1jg13G/q/4OgF+d/itSI1L9Ona3lG2Aiu/htDvBT1n7/lRlshMSrCMhIgSAKIP24ZTZ7up0XkFJe4/utBjJcAshhBADgQTcw5iqqjhLS4mYPQtFr/fr2IUNhUxNmsqluZf6ddxu2/UeBIdB/jX9c30/qzbZSY02+Ep+olsD7uYjMtzbypsAePn6GUeVmgghhBCif0jAPYx5jEbUlhb0Gf5rl3eg8QDnvHUOW2q3MD5hvN/G9fF6wWU//nG7CVY+AAWvwuhzIGRolFVUm7WAu01kqPYGydTSnuG2ONx8daCeCyensmBiP3yqIIQQQohjkoB7GHOVlwOgz/RfwL2qbBV1LXVckHMBl4+53G/jUreDHoP0AAAgAElEQVQP1v0W/jIDXjitfb+qwqa/g6W1Y8ee5bDpJYjNhrPu99/1+1mN2U5KTHvA3VZScvXfN3KwthmAt74vp8Hq5H/OGNUvcxRCCCHEsUmXkmHMWVEJQEiW/wLujYc3Mi5+HL8967d+GxOAr/4AO5a1P3daISQCmspg5c9g7a/h+veheC1EJMGPtw2J2m3QSn+qTXYWTGhf5KYt4Ab4tqiB3OQoNpc1khkXxrTsuP6YphBCCCGOQzLcw5irogIAfUaGX8Z7/8D7bKndwhkZZ/hlPEDLYH/ykBZsZ58G8x7V9huLtUeHWXu0NcBLZ8KudyDnjCETbAOYW9w43F5SojtmuNtr7suNNgB2V5qYlB7T5/MTQgghxIlJwD0MuGpq8TQ3H72/soKghAR04f6pc15fsZ7EsERuz7/dL+PRVA6bXobvXtCe510IY1u7qTQUaY+OI76ulMlwzqP+uf4AUW91AJAYeewM98ZiIy+uK6KkwcbkTAm4hRBCiIFGSkqGgYNnnYUuIoK8zQWd9jsrKtBn+ie7DVBpqWRc/DhCgkJ6P5jXA3+c1PpEgQt/B1Ouas9cG48IuJe8oWW2DdG9v/YA02h1AhAf0f59NeiDfNs7K03srDQxJTOGS/IH9xL2QgghxFAkAfcw4bVacVVVoU9L8+1zlVcQlp/vt2tUWCqYkjTFP4MVrWnfThgNs/6n/XniWFj7G0iZ1B5wJ4wZksE2gPEYATfAP390CmNTothf08xnu6t59AcTiAiVf9JCCCHEQCO/nYc4r83m227Zvh19WhpN77yDddMmXBUVRP/gB365jtlpptnZTGakn27ANJW3bweFdj6WvwRWPwlvXAkjz9L2hUb657oDUFvAHXdEwH12XjIA6bFhvm0hhBBCDDwScA9x7oaG9u2aGux79lD16C98+8KmTPbLdSqbtY4nGVF+KlFxWNq3vZ1XU2T27RASBZ/cr60oCRAa5Z/rDkBGW2uGO9wPpTpCCCGE6HMScA9x7vp637arugbjv/6FLjyckR9+AIpCiJ96cFdaWgPuSD8F3M4OAfeUKzsfC4mA2bfC2megpRFQQB/hn+sOQI1WJ2H6IMJCgro+WQghhBADjgTcQ5ynQ4a7ZetWWnbtIu7qqwnJyvLrdfwecDssEBIJ9+0EQ+yxzzHEagF3aBTohm7DnQar86j6bSGEEEIMHkM3ShEAuOu1gFufnU3Ltm0oISHE33iD369T0VxBlD6KmFA/taVzNmsBd3j88YNpQ+u1hnA5CWgZ7rgIfdcnCiGEEGJAkoB7iHPXtS55rqoApD/1K7+VkXRUaan0X/02aBnurm6EHCYBt9HmIj4itOsThRBCCDEgSUnJEOeqrCQ4JYXUJx7HtmEDURdc4PdrNLQ0sNe4138tAUGr4Q7pIuAOay01GeIBd6PVycgE/yxOJIQQQoi+JwH3EOesKEeflUnk6acTefrpfh/f7rZz82c30+xs5rrx1/lvYIel60C6LcMdleq/6w5ARqvzqJaAQgghhBg8pKRkiHNVVBKS6d8bJDsqNBZSbCrm8TmPMzN1pv8GbqvhPpFgg/aYPMF/1x1gHG4PFodbWgIKIYQQg5gE3EOY1+HAXVODPsv/NdttSkwlAOQn+m/FSqB7NdyWWu0xbqR/rz2ANNm0HuTxkRJwCyGEEIOVBNxDmOnDD0FVCR2dG7BrlJhLCNYFkxaZ1vXJPdGdGu624/Gj/HvtAaTBIoveCCGEEIOd1HAPYcZ/vUZYfj5R580P2DVKzaVkRWURrPPjj9Ke5WCtA33Yic87/ynIOR2yZvnv2gNMo+3Yy7oLIYQQYvCQDPcQpTqdOEtLCZ89GyUocCsUlppLGRE9wr+DfvWc9pg45sTnhcXB1GtAUfx7/QGk3uIAkIVvhBBCiEFMAu4hyllaCm43oWMCV07i8XooM5cxMtqPNdSqCk2lMPlKmH6j/8YdpHYfNhMSpCM7XtoCCiGEEIOVBNxDlKOoCIDQ3MAF3NW2apxep38z3M3V2nLtmaeALnCZ+cGioMTIlMwYDHr5XgghhBCDlQTcQ5SzpBSAkBF+LvfooNSkXcOvAXftHu0xebz/xhykXB4vOytNzBgR199TEUIIIUQvSMA9BJmWL6fuj38kKC4OXXjgShEOmQ8BkBOT479BjcXaY1f128NAaYMNl0clL3Vor6QphBBCDHUScA9Bhx94EAB9enpAr1NqLiVCH0GCIcF/gxqLQR8OkSn+G3MQsTjcONweAIrqLACMTuqiPaIQQgghBjQJuIcwJSRwnS121e/ivQPvMSJ6BIo/u4QYi7W+2kO488iJTHr8M65/dRPQHnCPSorozykJIYQQopekD/cQ5mk2B2zsq1dcDUBGZIZ/BzYWQ1Kef8ccJBpaWwBuOmTE5nTz8fYqUqMNRBn0/TwzIYQQQvSGZLiHGNXp9G1HnnlWQK5R31IfkHGxNkDDQUieEJjxB7itZU2+7dWFteypMvPAwuH55kMIIYQYSiTDPcS4jUYAEm6/jaS77/b7+Kqq8ug3jwJwdubZ3Df9Pv8NfuBzUL0wdqH/xhxEdlRoAXdqtIGiOguKAhdOTuvnWQkhhBCityTgHmLc9Q0AhE2ahBLs/7/esuYyvqn8huvGX8eDsx707+Dl34EhFtKm+nfcQaK43gpAs93F5tJGMmLDpP+2EEIIMQRISckQ4zFqAXdQgh87h3TwXdV3AFyVd5X/B7fUQHQG6Hr3Y9lWCz3YHGoNuK1OD18dqCckWP55CiGEEEOB/EYfYmybt4BOR0h2dq/GKTGV4PK6jtq/tXYrSWFJ/l3spk1zNUT1rh3gjoomZjy1ioff2+GnSfWN70uM7D7c+SbXi6YEtq2jEEIIIfqGBNxDiNfpxPT++0ScMZfgXmS4W9wtXPzBxUx/fTofF3/c6diBxgPkxef5txVgG0sNRKb2aoi9Vc0A/HdTOXaXxx+zCjhVVVn84gYAJmfEADA+LZqfzJfFf4QQQoihQALuIcT03nu4a2uJv/6GXo1jtBt92w9/9TAXvHsB896ax12r72Jf4z7GxAYgEPR6tYC7lxnuyqYW3/bm0sbezqpPtPXbnpAWzXWnap9MpMcYAvOmRgghhBB9TgLuIcRWsJngtDQiTp/Tq3Ea7VqgOiddG6fCUkF9Sz3rK9YDfl7KvU2LEbzuXme4K5taiAoNRlG0Mo2BrKDESIPFwYYire7+petnEBOmLVY0Pi26P6cmhBBCCD+SLiVDiLelhaDo6F5nRtsC7tum3Ma3h7/17TcEGfCqXmamzOzV+MdUW6g99jLDfbiphTEpkZQZbdSY7X6YWGDYnG6ueHED+VmxTMmIISo0mMy4MDJiw/j94nwuyZf6bSGEEGKokAz3EOK1WdGFhfVqDJfHxYYqrZ44ISyBl+a/5Dt2yehLKLiugOzo3t2QeUyrHoeodBjZu8V6Dje1kBEXTmJkKHXNzk7HPtxWOSCy3naXh/uWbQNge3kTB2stjE6ORFEUdDqFK2ZkSocSIYQQYgjpl9/qiqIsVhRlt6IoXkVRZh5x7GFFUQ4qirJPUZTzO+xf2LrvoKIoD/X9rAc+1daCLjz85F+vqixZsYTX97wOQJwhjjkZc/jumu+4Ku8q7px6Z+DqihtLIG8hhMef9BBOt5fyxhay48NIjAylwdreHlBVVe5dts13c2J/em9LJZ/vqfE9P1BrITc5sh9nJIQQQohA6q+Skl3AD4GXOu5UFGUCsASYCKQDqxRFGdt6+K/AeUAF8L2iKMtVVd3Td1Me+LwtLQQlJZ7Ua4ubiln04aJO+6L0UQCE68N59NRHez2/4/J6oaURwk4+2AYoabDi8aqMTYmiorGF0jJr6/Aqf1y1/5ivUVW1z29OXLe/ttPzeouDCVKzLYQQQgxZ/ZLhVlW1UFXVfcc4tAhYpqqqQ1XVQ8BBYFbrn4OqqharquoElrWeKzrw2mw9znCXm8uptdWyvW77Ucf6LBB1mLUl3cPiejXMgRqt20ducqSW4bZoJSXfFNXz5zUHfec12bT9G4sbyPvFp+ytNh89WIAU1VlYs7eWm+bksPnR+Vx/6gjumz+Ga2YHoExHCCGEEAPCQCsUzQDKOzyvaN13vP3HpCjKrYqiFCiKUlBXVxeQiQ5E3pYWdGFdB9yqqmJ326m2VnPh+xey8N2FlJhLAAgL7l0N+Elpaa2r7kU5CcD+mmYUBUYnaQG3zenB5nSzfn/nn4F91Vqv7oISI063l+tf3cTOClOvrt1db35fjoLCXfNySYgM5VeXTuK++WNlCXchhBBiCAtYSYmiKKuAY/V4+7mqqh8G6roAqqq+DLwMMHPmTDWQ1xpIvC1d13CrqsptX9zG1tqtLMrVPiRweV28f+B99Do9G6/ZSENLA3ZPH3T4KNsIKZPA1tovu5clJXuqzIxMiMCgDyIxUmuvV9fsYGOxFtCPToqgqM5KmdHG7FEJvgx+XbODi//yNdsfW0BMuL5Xc+hKtclOaoyBpKjQgF5HCCGEEANHwDLcqqrOV1V10jH+nCjYrgSyOjzPbN13vP2iler1otpsXXYpsbgsbKjagN1j5819bxIbGgtAo6OR5PBkdIqOpPAksqKyTjhOr7U0wf+dD+/c7LcM9+5KE5NaV2rMiNO+D+XGFkrqrdxw2ghW3nsG0L44jtXhRqfA3Fyt7r280dar63dHvcUhwbYQQggxzAy0kpLlwBJFUUIVRRkJjAE2Ad8DYxRFGakoSgjajZXL+3GeA45q1zLSuvATB9xN9qZOz0fHjibeoAW6KeG964HdI/bWEo6Sr7UbJqFXNdwNFgeHTXbf0ugjEyMA2FrWSLPDzYiECEKDg0iOCqWyUQu4LQ430WF6HrpgHAAVfRBw1zU7fNl3IYQQQgwP/dUW8DJFUSqA04AViqJ8BqCq6m7gLWAP8Clwl6qqHlVV3cDdwGdAIfBW67milW3rVgCULkpKmhxawJ1gSAC0ILst0E4KTwrgDI/QFnC7rGBrzXD3oqSkzKgFy6OTtUA7JcpAaLCOda312zkJ2vclIy7Ml+G22N1Eti44A1DR2HLksH4nGW4hhBBi+OmvLiXvq6qaqapqqKqqKaqqnt/h2NOqqo5WVTVPVdVPOuxfqarq2NZjT/fHvAey8qW3AHR502SjQ8smXzbmMgDcXrfvWF5cXoBmdwyODp1BGg5CsAHCYk96uKYWF4BvaXSdTiEnIYKCUu3rHdEWcMeGUd5oQ1VVmh1awB0TpicqNDjgAbfT7aXR5iIxUgJuIYQQYjgZaCUl4iSoavt9oV3dNNmW4b541MXcMOEG7p1+Lw32BgDmZc0L3CSPZO/QFWTvChh9LuhOvlOH2Rdwt9/0OCpJy3YH6xSy4rXvy6yR8ZQbW1i5sxpra8CtKAojEsPZUtbY6Xvpb20L8UiGWwghhBheJOAeAlSHo8MT7wnPbavhTgxP5P5T7ic7Optnz3iW68Zfx+jY0YGcZmcdA+7mwzDx0l4NZ2oNuGM7dBmZmK4tJpMSbSA0WAvmr5mVTW5yJD99exubDhmJNAS37h/BjgoT3x0K3NLv9a1LzSdJhlsIIYQYViTgHgI85vbyjKDYE9942ORoIkgJ8q0iCTAzdSYPznqwbxa6KV4Hr54P25e170vLh0mX92rYJtvRGe6J6doNlN4OWevgIB1Xz8rG7vLi9qpEhmoB9/zxyYC2zHqg1Fm0G1sTJcMthBBCDCv9tbS78COvRQsSE+++m4hTZ5/w3EZHIzGhMX2+nLnPltegfGP78zu+hYTcXpWTgJbhDg8JQh/U/h6yLcN95pjON4Ned2o2bxeUs7e6GbtL+0QgITIUnQJ15sD1H5cMtxBCCDE8SYZ7CPC2ZrjDJk/q8tz9jfvJiDzuIp2BZ+2w6qM+AlImQnDvA1BTi4vYsM6L1iRHG/j4nrn8ctHETvtDg4N4/GJtX5nRCkCQTiExMpQas4NAqbNIDbcQQggxHEnAPQR4mrUMty4q+oTn3fL5Leyo28E52ef0xbSOrWPAbYg5qSGa7S7cns616k02F9FhR68SOSkj5pjLpk9ozX6PSIjw7UuJNlDT7N8Md2mDlSeW78bt8VLX7CAqNFiWcRdCCCGGGSkpGQK8zVqGOygq8rjnVFur+a7qOwAuGnVRn8zrmDoF3Cd+g3Asqqoy+YnPuXRqOn9cMs2339zi6lS/3ZWYMD3v3zmH0cnt37OU6FAqm04+4P62qJ5TcuI7lbUseXkjVSY7c3MT+ee3Jb4FeYQQQggxfEiGewjwZbijjx/Abq3VFsZZdtEyUiNS+2ReR/F6wNbQ/jx5fI+HaLBqddAfbDvcaX+91UFceM9WcJyWHUe0oT1IT442UNvDGm5VVdlf08zOChPX/P07nl5R6Dvm8nipMmnj3fXGFgAO1Vt7NL4QQgghBj8JuIcAX4Y78vgZ7p31OzEEGfp2cZsjtTRqbQunXAXBYXD2wz0eom1FyZAOWeQWp4eSeitjU47/9XdHRmwYDVYnFoe765NbPbWikAXPr+fh93cAsHx7+xuBqg7ZcodbK4G5Ze7IXs1RCCGEEIOPBNxDgKfZAkFBJ1zW3eQwEWeII1jXj1VEbeUkY8+HR6shqefBf1mDFnBHh7V/HYXVZrwqTMw4uZrwNrmt5SVFPWgN+MWeGgB2VWpveoxWJ2v2avsqGm2dzr31zFE8etGEXs1RCCGEEIOPBNxDgKuykuCkpBO2+rO5bIQHn3gVyoCzaIEoEUknPu8E2jLcbf2zAXZXaovoTPJTwN1VL26vV+WZlYVMfvwzyow2JmVopTxRhmDSYwws21QOcNRS8RdM6qdSHiGEEEL0Kwm4hwDHgQOEjh1zwnNsbhsR+n6+Yc94SHuMyznpIQqrtExyeWMLi1/8li/31rK/xuILdntjROvy7z97ezu3v76ZTYeMvFVQTs5DKzC1LqwDsPFQAy+vL6a5tfTkrrNzSY02MDUrljEpURw2teDxqry+sRSAPy2Zyu8X5zMt+8SLEgkhhBBiaJIuJYOc6nLhLC4mYu7pJzzP6rISpg/ro1kdh7EIgkIhOvOkXu7yePn6QD0AHq/K9yWNPPvpXuLCQxidFNnrxXyCg3RcMSOTdzZX8Onuaj7dXc3oJO1NSmVTCzGty8Y3WLQbNx9YmMfL64uZNTKef98yi5CgIF5YV8TOShOrC2vY2Zp5XzS1H/ueCyGEEKLfSYZ7EDN/+ikHzjwL1eXCMHbsCc+1uW1EBPdzhruhGOJHgu7kfuy2lzfR7HCTn9leOrKvppmCUqOvHKS3fr84v9PztpUobc72Gymb7dr2D6dlsu2xBSREhpKbHEV2QjiZcWEYrU5fWcqflkz1y7yEEEIIMXhJwD1IuY1GDj/0MLqwMBLvuZuo88474fk210AoKSmC+NEn/fKdR9Rqj02JRFXB5VH9FnADJHdYCbKySavDbupQUmJxaNuRhqM/IEqP1cpafvfZPkKCdVySn+63eQkhhBBicJKSkkFGVVXq/vgnvDYbqt1O5l//gmF81/2srS4r4fp+vGnSWg91+2DiD096iN2HzSRGhjCmNbi+cmYWT7X2vR6f1vNFdI5n+d1zqTHb+d1n+/j6oFbC0mhz+o43290oCkSEHL1iZMeVK6MN+l6XuQghhBBi8JOAe5BxVVbS8NJLAOgzMggdN65br7O5bP0TcNtNcHgbmA8DKoxdcNJD7TlsZnxaNNedOoLc5CjmjE7wBdxTM2P9NGFIjTGQGmPgsmkZvoDb1NKe4W62u4kMDT5mMD0tK5Y7zh7NC2uLMHd4jRBCCCGGr+MG3Iqi7ATU4x1XVXVKQGYkTsixd69vO2LOnG5lUF1eF06vs39quN+6AYrXwriLICweUvO7fMnxVJvtTMuOJThIx9wxiZ2Otd3Q6E/5We1B/JEZ7o4rVHakKArXzMrmhbVFOD1ev89JCCGEEIPPiTLcF7U+3tX6+Hrr47WBm47oin3fPt922NTu3ZBnc2m9q/slw128VnssWgMjTj/pGyZVVcXU4iL2iMD6XzfPQlWP+76wV0YnRfCzBWP5/ef7j6rh7tgH/EiZcVo3mKtmZgVkXkIIIYQYXI4bNaiqWgqgKMp5qqpO63DoIUVRtgAPBXpy4mj2Xbt922FTJnfrNW0Bd7/eNOmyQcb0k375huIGPF6VmLDOAfdZY09+EZ2uKIrC3eeM4b2tlZ0C7ma7m6hj3DDZ8XV7f7UQfZDckyyEEEKI7nUpURRFOb3DkzndfJ3wM/Onn2H58ktiFy8m5603CR1z4sVu2lhdVqAfMtyO5s7P008u4N5R0cQ1f/8OgNiwkN7OqscSIkKoszh8zy0O9zE7lHRk0AcRpJMbJoUQQgjRvcD5ZuBviqKUKIpSAvytdZ/oQ67qairvuw+AqAULCJvS/RJ6i0vrCe33Gu6q7bD8HvC4O+9XVXhnKfz6iAVu0qdxMqpNdt92dJj/a7W7kpscyYGaZl/pSttNk0IIIYQQ3XHCgFtRFB2Qq6pqPpAP5KuqOlVV1S19MjvhY1r+EQDJ9/+sy1Ulj1Rrq9VeG57s30n98yLY8hqUb+y831IDu97Rthc+q90sGZ0BUSk9vsTHOw5TY24PuI8sKekLE9KiabS5WLe/jlqznUabk6jj3DQphBBCCHGkE6bpVFX1KoryAPCWqqqmPpqTOIKqqpg++ICwGTNIWLq0x6+vtlYDkBqR6r9JWRvAYda2D3wOOXPbjzWVaY+n3gmzb4O9H0NMz28gLKm3cvcbWzvtO/Kmyb7Q1uP7pn9879s3Pdt/bQiFEEIIMbR1p6RklaIoP1MUJUtRlPi2PwGfmfBx7N+Ps7iYmEWX9Pi1dredTdWbMAQZiA7x3+IwNB5q36484gOPtoB7+g2gKHDt23DxH3t8iY510236I8M9OTOGy6ZlMDKxvSTn/El+fPMihBBCiCGtO4WoV7U+3tVhnwqM8v90xLE4D5UAEJbf8x7Wj337GOsq1hEdEu3fVQ8btTmRPEFb1GbfpxCVqj1vC7jbstr6sJO6RFWH2u02/ZHhDg0O4vmrpuL1qnyyq5rk6NDj9uEWQgghhDhSlwG3qqoj+2Ii4vjcNVpJSHByz2qwPV4Pnxz6BACz0+zfSbVluLNPhe3L4L+t78tismDU2RCeAKGRvbpEVVPLUfvC9Ecvp95XdDqFH0xJ67frCyGEEGJw6larBUVRJgETAEPbPlVVXwvUpERnruoalNBQgmJ7Vjf8yNeP+LbvmXaPfyfVWAKRqRA/Suux3cZUDrvehdTu9Qg/kY4Z7tNzE3jlhlP8m6UXQgghhOgDXdZwK4ryOPD/Wv/MA34L9LyYWJw0d001wakpvmDT5rKxumw1JoeJzTWbffs8Xo/vNV7Vy7qKdczLmseOG3Zw65Rb/TuppjKIzYKoDhnfK1/TgnCXDbJm9foShztkuMelRhMW0n/ZbSGEEEKIk9WdDPcVaC0Bt6qq+iNFUVKAfwd2WqIjV3UN+pT2m/Qe+foRVpet9j2/ZfItvLLzFa4bfx0PznoQgBJTCVaXlXOyzwlMVthSC4ljOgfcqVNg2rXw1XOQdWqvL9Exw52fJV1BhBBCCDE4dadLSYuqql7ArShKNFAL9LzHmzhprsOHCU5NweK08NTGpzoF2wCv7HwFgA+LPsTlcVHcVMwbe98AYFLC/2fvzuPjust7j3+eGUkzo12W5H2N4yRkX9xs0DYkKYRACVygLKWErSHsS3u5bIULhV5aaHtLWVOgUHYuS9kSIFDCUghkD9ljO068R9Y2kmbRLM/945yRZFuyx7bOjK35vl8vvebM75yZeWwJ8c3Pz/n9To+mqLHd0L4E+k4Ci0OqB7pXwwWvhoteB+svPeqP2DU6PcN92vJ5XGFFREREpIaqmeG+1cy6gX8DbgPGgd9EWpVMKQ4PU9y9m+TJJ/Prnb/maw9+jbWda9ma3grAM9c/k+9u/i5XrruS6x+5njsH7uQtN72FkfwIbc1tnNAdwWIyxTzkRoL2kfZ+eMeOYDwWD54/9QNH/RH5Yom945O89OK1nLO6m/X9R3cDpoiIiEi9VLNKyWvCw0+a2Q+BTne/O9qypCJ3330AJE89lZH8NgA+89TP8LZfvo18Kc/7n/h+rj3zWprjzVz/yPVsGdnCSH4EgKtPu5qYVfOPGIdpfE/w2B6umnKEy/4dTGU799OWd3LV2Svm/f1FREREauWQgdvMvgD8Aviluz8QfUkyU+6ee4EgcKcfC447Wzr57FM/i7tjZqzqXIW7k2pK8f7fvh+Ap617GtecMc83SlaMhYG7I7rNX3aEN0yu6J7/MC8iIiJSS9VMf34WWAb8q5ltMbNvmtkbI65LQuM//zmJJzyBeFcX6XyaRDxBsilYnXHmzZBmRrY43fN8Vv9ZxGMRreoxNcO9JJK3/86dO3jtl27HDNbM2N1RRERE5Hh0yMDt7j8DPgD8DUEf90bg1RHXJUBxaIjsHXfQcfllAIxOjtLV0jXn9eu71k8dL22LcOvx7FDw2Lookrf/xm3bGc4U+NiLztUMt4iIiBz3qlmH+6fAfxNs8f4g8AfufkrUhQnkH3gA3Gk9byMAo/lROhNzr9Zx3VOu4+SekwHoTkS4jF5+LHg8SC1H49HBDM84cxlXnqFdHUVEROT4V01Lyd3AJHA6cCZwuplp2rEG8luC7dNb1q0Dgu3ZO1vmDrmLWxfzuSs+xzsueAfnLD4nusJy4TbxiY55f+tCqcyOkSxre9VKIiIiIgtDNauUvBnAzDqAlwL/DiwFEpFWJkw+8gix1laaFvcDwQz3ivaDr9jR3tLOC095YbSF5dPQ0h4sAzjPdgxnKZWd1b2t8/7eIiIiIvVQzSolrwP+EDgP2EpwE+Uvoy1LIAjcLevWYWYMZgd5aPghTu09td5lBTPcUbWTDGUANMMtIiIiC0Y1G98kgX8CbnP3YsT1yJ4PQYEAACAASURBVAyFPXtInBBsXPPB330QgCWt0awMcljyaUhG1b89AcAazXCLiIjIAlHNKiUfBpqBvwAws34zWxd1YQKl0VHi3d3kS3l+sf0XnNV/Fq844xX1LisI3BHeMJlsjrG4Qx1LIiIisjBUs0rJe4D/Bbw9HGoGvhhlUQLuPhW473r8LjLFDNeceQ2ppmPgftVcOpIbJiEI3GsWte2zxriIiIjI8ayaVUqeDTwTmABw951ANGlLpngmA4UC8e4uNo1sApha8q/uIm4p0Q2TIiIispBUE7gn3d0BBzAz3c1WA6WREQDiXV1sGd1CW3Mbi1sX17mqUH4skpaS79+9k4cfH+ec1RGuIS4iIiJSY9UE7q+b2aeAbjP7S+AnwKejLUtKo6MAxLu7eWT0EU7oOuHYabOIqKXkv+5/nMUdCa75wxPm/b1FRERE6qWadbg/bGZ/AqSBk4F3u/uNkVfW4KYCd1cXj259lPOXnl/nikITg1DMQsf8bx2/czTLmt5WmuLV/HegiIiIyPGhqmTj7je6+/90978Gfmpmfx5xXQ2v0lJinZ0MZgePnXaSPb8PHpecflRvk84VOOu9P+Yn9+2ZGts5kmNZ1zFwU6iIiIjIPJozcJtZp5m93cw+amZPscDrgC3An9WuxMZUmeEebzWKXqS/tb/OFYV23xM8Lj3jqN7m+3ftYjRb4HO/3gpAuezsGs2yvFuBW0RERBaWg81wf4GgheT3wCuBnwHPA57l7lfVoLaGlt+8BUulGEwEew31pfqO7g23/gp+9X+PvrDdd0P7Umg7unpuuGcXAEs6k7z/+/dx1/YRCiVnRXfy6GsUEREROYYcrIf7BHc/A8DMPg3sAla7e64mlTWwUjrN+H/9F6kzzmBHIWgt6U8d5gx3dhi2/BxOe1bw/HNPDx4vfj3E4kde3LbfwsqNR/56oFR27ngs+HP96N7djOeLfPpXjwCwskdLAoqIiMjCcrAZ7kLlwN1LwHaF7drY+ba3U9ixg9TZZzOQHQCOIHB/743w/66G9y+FH75jenxs15EXNrYHhrfC6guP/D2Ah/aMMZ4PZu4rjwBdqWYuWt97VO8tIiIicqw5WOA+y8zS4dcYcGbl2MzStSqwEWVvuw2Anhe+gL3ZvQD0pg4ziO4NNsuhmIWbPzY9PvLYkRe2687gccXRzXD/7pEhAM6dsd72+v42Xvvk9SSbj2L2XUREROQYNGdLibsr+dSBF4uUJibofdWraF62jG2PbKMn0UNr82G0WtzyGXj83tnPDT8Kay4+suIqYX3RuiN7PcGW9Tfet4dVi1Kcs7qH2x8b4TWXrOetV5xyxO8pIiIiciw75DrcUluF3XugWKRl1UoAHh5+mA09G6p/g/wY/OAt+45d9XE45Ur4+3VHN8M9uh3iLdB2+EsUPjaY4Z6do9y3M82vNu3lheevpre9BUBtJCIiIrKgKXAfYwrbtwHQvHIVZS+zaWQTzzrxWdW/wX9/ZPr4gmuDmyS7gvBOxzIYefTIixvdDp0rIFbdxjS3PzZMrlDi4vV9PO9Tv2ZPOs/qRa2kmuO8+fIN7BzN8ccnDfEHaxcdeU0iIiIix7i6BG4zex7wv4EnAOe7+63h+FrgfuDB8NKb3f3a8Nx5wOeAFHA98EZ391rWXQuZ3/0OzGg5YR2377mdTDFT/Qx3MQ///S9w+nPhyg9BsnvfcNy9+ihnuLdNh/cqvP7Ld7BjJMsTlnWyJ50H4LGhDG+8bAOLO5Ms7kzy+ZcfIztoioiIiESkqqlKM1tjZpeHxykz6zjKz70H+B/AL2Y5t9ndzw6/rp0x/gngL4EN4dcVR1nDMSe/ZQvDX/oy7ZdcQlN/P++/+f2sbF/JU9Y+pbo3GHgASnk45enQuujAmeieNUEP95Ea2QZdq6q+vFAqA3D/rn3vsdWMtoiIiDSSQwZuM/tL4BvAp8KhlcB/Hs2Huvv97v7goa+cqmEZ0OnuN4ez2v8BHEafxfFh7yc/iZdKLP7rv+Kh4YfYPLqZl53+MjpbOqt7g0PtAtm9GtI7oFSEyQxMTlRfXH4cxnZC7wlVv2Q8X+TlT1zHWSu7aIoZSzoTXH3RGi5Wz7aIiIg0kGpaSl4LnA/8FsDdHzazw79rrnrrzOwOIA28y91/CawAts+4Zns4Niszuwa4BmD16tURljq/Snv3kli/nsT69dx87+cBuHT1pdW/wa47obkVFs0RirvXgJcgvR0+9UdQLsE7dlT33oMPB499J1d1+US+SGayRH9Hgm+++mKKZdeSfyIiItKQqgnceXefNDMAzKwJOGTvtJn9BFg6y6l3uvt35nhZZTfLwbBn+z/N7LQqatyHu18HXAewcePG46bPuzQySry/j9f99HX8fPvPScQT9CarnA3OpeHur8GJl829k2TPmuBxeCvkRg+vuEd/Ezz2Vxe4944HPdv9HQma4jGalLVFRESkQVUTuH9uZu8AUmb2J8BrgO8d6kXufvnhFuPueSAfHt9mZpuBk4AdBK0sFSvDsQWlNDJCYsOJ/Hz79QAsSi6i8h86h7T1V0GIPv9Vc19Tmfnec9++4zvvhEd+AU98w+yvG9wMP3r7vu8R+tmDj5Nsih+wtN/A2HTgFhEREWlk1dw0+TZgAPg98CqCFULeFUUxZtZvZvHw+ASCmyO3uPsuIG1mF1qQQF8CzDVLftwqjYzgndP3o/Yke6p/8fDW4HHxqXNf07Ec4gnY9JPpsUIOrvtjuPFvgt7u2Tx+f/B48esh3rzPqZf9+y288N9uPuAllcDdF661LSIiItKoDjnD7e5l4N/Cr3lhZs8G/hXoB35gZne6+1OBPwLeZ2YFoAxc6+5D4ctew/SygDeEXwuGT05SzmQYS5anxuK2Xx+GO+x9aPa2jpFHoaU9WJ1kLrEY9KwNZsMrttw0fZwbgba+A183GrbPX/zGOd+6VHbisenZ+KHMJAC9bZrhFhERkcZ2yMBtZr/nwJ7tUeBW4P3uPni4H+ru3wa+Pcv4N4FvzvGaW4HTD/ezjhel0aCneqA5PzVWLO8343zb5+D7b4KX3XDg9uzDW4ObIg/VgtK7HvY+GOwYWZqErzx/+tz4njkC9zZoSh5wbuYy6I8NZVjX1zb1fCwX1N6Z0t5KIiIi0tiqaSm5AfgB8Ofh1/cIwvZughlnmQeVwL2l/PjUWKFc2Pei7bcEj7/7N8iOTI/f9TV46IfQuezQH3TZe+AFX4aX/uDAc5+4GP7lLHj4xumx0e3TG97sF+Yzk6Wp4wf2W2t7LFcgHjNSWplEREREGlw104+Xu/u5M57/3sxud/dzzezFURXWaEojQYC+p/Aoy9uWs3NiJ92J7v2uCgPvvd8KZqj/R7g0eqUn+7RnH/qDFp8SfA1tCZ4nu+Avvg3/Fi4/OLwVvvTc4PiSt8NN/yc4PuGSA95qaGJy6viRwX3X9B7PFWlPNFV/06eIiIjIAlVN4I6b2fnu/jsAM/sDoDJtOcdddnK4KoH7wfJOnnfym2iONXPF2v020xydsS17fmz6OLMXVpwH5xzGf/90r4WLXgfnvWzuZQQrYRtg+bkHnB7JTM/APzaY2efcWK5IR1LtJCIiIiLVJKJXAp81s3aCKdY08EozawP+z0FfKVUb3BNsuT6ehMtXX87arrX7XjC6PVi6r2JmP/XYbuhZd3gfGIvBUz8QHM9ck/vcq+H2zx94/bl/ccBQ5cZIgK37zXCnc0U6ks37v0RERESk4Ryyh9vdb3H3M4CzgbPc/Ux3/527T7j716MvceFzd6771T8BsHz5yQeGbYBvvjJ4fNYnoHPlviF5bBd0zLbHUJUSM7aOf8Y/Q2q/5Qhf8t1Zd68cDltKzl7VPcsMd4GOhGa4RURERKq5aRIzezrBGtxvNLN3m9m7oy2rsezJ7KE95xRj8JqL3nLgBbvvgcd+A1d8EM5+EXQunw7cxTxkh6Gjihsm5zKzzzoWhzfdA0vPCJ63L4UT/njWl1XW2j53dQ+70jlyhembKNVSIiIiIhI4ZOA2s08CzwdeT9BS8jxgTcR1NZTNI5vpyIJ1dXLxyiceeMFI2Lu96oLgMdk5HbjT4YabRzPDDcGNk68NV0FJtEPvicFx96o5X3L/rjSLOxKctaoLd9g+PD3LPZ5X4BYRERGB6ma4L3b3lwDD7v5e4CKC7dZlnmwa2UR7FhI9vbNfkAmXOm8Nzye7pgP3je8Bi8Pyc46uiPWXQv+Mb2sq3ECnMtM9i3t3pjl9RRerF7UCsHXvdOAeyxXUwy0iIiJCdYE7Fz5mzGw5UACOon9B9rdpZBM9+SaaF82xS2QlcFdulKwE7swQPPADuOi1sHSe9wTK7A0eZ1mdBCBXKLFpYJzTlneytjfY8ObRoSBwu7taSkRERERC1QTu75lZN/Ah4HZgK/DlKItqNJuGN7Eo30y8a/91t0OZwWCnx+ZgJplkF+TTsOmn4CV4wjPnv6jusGtoxeyBe3BiklLZWdGdoru1mY5kE4+GK5VkJksUy64ZbhEREREOsSygmcWAn7r7CPBNM/s+kHT30YO9TqpX9jKbRzfTnoN4d9fsF2WGgnaSys2Nya5gW/Y7vhDc1DhHKD4qT34nnHoVLDlt1tPpbLAGd1eqGTNjRXeKXaPBP4ZUNsTpa2+Z/7pEREREjjMHneF29zLwsRnP8wrb82vXxC6yxSwt2SLx9o7ZL8oMQuuMdpNkOBP+yM/hrOfPvXHN0WhOwsqNc54enRG4AfraE+wdD1YtqTz2tSfmvy4RERGR40w1LSU/NbPnmPbojsTjmccxd+K5SWJtbbNflBmcvmESYO2Tpo/PelG0Bc6hErg7w8Dd35GYWiZwcDyY4e7VDLeIiIhIVYH7VcD/AybNLG1mY2aWjriuhjE+OU4i3LBx7sC9d3rVEIC+DdDaF4wtPiX6ImeRPmCGu4W943ncncGJIHj3aoZbRERE5NBbu7v7HH0OMh8mihMkg+w6e+AuFWFk24E3Rr7+1uiLO4ipGe7kdEtJrlBmPF9kb2WGu00z3CIiIiLVbHxjZvZiM/ub8PkqMzs/+tIaQ6aQIRVMCBNraz3wgpFHoVwIZrVnSvUcuAV7DaWzBcyYWvqv0q+9d3ySwfFJ2lriJJsj6C0XEREROc5Us1Dyx4EycCnwt8A4wY2UfxBhXQ1jojBB8mAtJXsfDh776rPXUKnsTEwWp2ayK0azBToSTcRiQWt/f0cQuJ/84ZsAWNM7y388iIiIiDSgagL3Be5+rpndAeDuw2amXoF5Ml4Yn24paZ0lcA+Ggbuy1XqNffWWx3jnt+/hHVeewjV/tH5qPJ0rTt0wCXDumh6ec+5KhjOTTBbLvOSiNfUoV0REROSYU03gLphZHHAAM+snmPGWeZApZOgqNgOl2VtKRndAS8e+ywLW0MN7xgH4zebBfQL30MTk1A2TAO2JJv7xz86qeX0iIiIix7pqAvdHgG8Di83sA8BzgXdFWlUDmShMsHYo6HWetaVkYgDa+2tc1bTKJjaj2QLFUpm3fvNucoUSD+4e44IT6vMfASIiIiLHk2pWKfmSmd0GXAYY8Cx3vz/yyhpE6wPbePqNwZbocwbuttoH7l89vJdrvnArqxcFs+6j2QI3bxniW7fvmLrmjBVz7IwpIiIiIlMOGbjN7CPAV939Y4e6Vg5f+9aBqeNY6ywtJRN7YdG6GlYU+MrvHiMzWeKB3WMAjGaLDIzn9rlGgVtERETk0KrZ+OY24F1mttnMPmxmc+/3LYetZWhs6viAwP2jd8Lj90JbX42rml51pGLveJ63fuPufcbOXt1dy5JEREREjkvVtJR8Hvi8mS0CngP8vZmtdvcNh3ipVKFr1/jUscVnrFt919fgNx8NjuvQUlLZpn2mQskB+NiLzuWsVV0kmrTOtoiIiMihVHPTZMWJwCnAGkA93POk5/Es+VQTK1/12unBiUH4z1dPPy9ka17XbIG74ulnLqthJSIiIiLHt2p2mvwHM3sYeB9wD7DR3f808soagJdK9A0WeOzSU+i79trpE0ObwUtwyduD50vPqHltA+N5Lj1lMU8+uZ83XKZ/zBARERE5UtXMcG8GLnL3vVEX02jGHt1McwlYvXzfE8Nbg8fTng3nXg0dS2tdGgNjeS45uZ/3/OlpfO+unTX/fBEREZGFopoe7k9Vjs1sPfAi4AXuflqUhTWCoYd+D0DLuv1WIRl+NHjsXg3NqZrWdPOWQV5w3c0ALO5IAnDK0o6a1iAiIiKykFTTUrLczN5sZrcA94aveUHklS1wpfEJsm8K9g9qW3/SvieHt0L70pqHbYCv3bJt6vjkpe0AbFjSwQN/e0XNaxERERFZCOYM3GZ2jZn9DLgJ6AVeAexy9/e6++9rVN+CNbl5EwC3rzcWLVmz78mRR6FnzSyvil7MbOr41GXT62wnm+O0tcR5+RNrvya4iIiIyPHsYC0lHwV+A7zI3W8FMDOvSVUNYPyxRwD48iUxLkv17ntyeCusvqj2RQHbhjJTx0s6912L+973aZZbRERE5HAdLHAvA54H/KOZLQW+DjTXpKoGMPzoQwAMdMKi5KLpE6UCpHdAz9q61LVl7zgdySbe+tSTsRmz3SIiIiJyZOZsKXH3QXf/pLv/MXAZMALsMbP7zezvalbhAjW5cycTCXjtk/4nLfGW6ROj28DLdWkpGZqYZO/4JG+4dAN/cdHamn++iIiIyEJUzdbuuPt2d/9Hd98IXAXkoi1r4Svt2s1AF5zZf+a+JypLAtZhhvuB3WkATtaqJCIiIiLzpqrAPZO7P+Tu74uimIYyOMxIm9Ha1Lrf+Obgsaf2Nyc+uHsM0DKAIiIiIvPpsAO3zA/P5sgmoK25bd8Tj98HiS7oXD77CyP04O4xelqb6e9IHPpiEREREamKAnedWCZLrgXam9v3PbHnPlhyKtThhsUHdo9x8tIO3SwpIiIiMo8OudOkmZ07y/Ao8Ki7F+e/pMYQy06Sa95vhtsdHr8fznhuzespl52H9ozxZxtX1fyzRURERBayQwZu4OPAucDdgAGnE+w42WVmr3b3H0dY34Lk7sRyk0wm4jTHZ6y0mN4B+VFY/ISa17RtOENmsqQbJkVERETmWTUtJTuBc9x9o7ufB5wDbAH+BPiHKItbqDyfJ1Z2SqkZvdL5Mfj61cHxktNqXtMDumFSREREJBLVBO6T3P3eyhN3vw84xd23RFfWwlbOhLs5zgzc930XdtwaHNdhhruyQslJSxS4RUREROZTNS0l95rZJ4Cvhs+fD9xnZgmgEFllC1h5YgIAb01ND5Ymp49TPTWuKAjcqxe10pao5kdCRERERKpVzQz3S4FNwJvCry3hWAF4clSFLWSVGe7YzMCd2Rs8XvurOlQUbHqj/m0RERGR+XfI6Ux3zwL/GH7tb3zeK2oAlRnuePuMJQEzQ9DSDkvPqHk9uUKJrYMZrjxjWc0/W0RERGShq2ZZwCcC/xtYM/N6dz8hurIWtkrgbunomh6c2AutvXWpZ9Pj45TKrhluERERkQhU07D7GeDNwG1AKdpyGkN5ImgpSXXM6NXODEJbX13q0ZbuIiIiItGpJnCPuvsNkVfSQCbHRwFo7Zwxo53ZC+1L6lLPw4+P0xw31va2HfpiERERETks1QTun5nZh4BvAfnKoLvfHllVC9zE0OMAtPb0Tw9mhmBx7dffBtg1mmVJZ5KmeDX30IqIiIjI4agmcF8QPm6cMebApfNfTmPI7t1DMQYdi2bMaOdGIdk194sitHs0x7KuZF0+W0RERGShq2aVEi39N88m9w4w1grdyRk93IUMtLTWpZ496Rynr6hP2BcRERFZ6OYM3Gb2Ynf/opm9Zbbz7v5P0ZW1sBWHBhltgxMSYcgtTkK5CM21D9zuzq7RHH9yan36x0VEREQWuoPNcFfuoNPSFfPMh0ZIp4zuRHcwUAi3eq9D4B7NFsgXyyztSh36YhERERE5bHMGbnf/VHj4cXcfqFE9DSE2Mka6H9qbw41vCtngsbn2offXmwcBWNWjwC0iIiIShWqWpfhvM/uxmb3CzHoOfbkcSvNohtFWSDWFIbeOM9zX/WILJy5u59JTFtf8s0VEREQawSEDt7ufBLwLOA24zcy+b2YvjryyBaqczRLPF8i2NxOPxYPBSuCuw02Tu0aznLe6R0sCioiIiESkqpTl7r9z97cA5wNDwOcjrWoBK+zeDcB4T2LGYH1aStydwfFJettbavq5IiIiIo3kkIHbzDrN7GozuwH4NbCLIHgfMTP7kJk9YGZ3m9m3zax7xrm3m9kmM3vQzJ46Y/yKcGyTmb3taD6/nr76i48CkFk0Y1fHOrWUpLNFimWntz1x6ItFRERE5IhUM8N9F3A28D53P8nd/5e733aUn3sjcLq7nwk8BLwdwMxOBV5A0L5yBfBxM4ubWRz4GPA04FTgheG1x53b7vohAPn+zunBOs1wD4wHG4f2aYZbREREJDLV7DR5gru7mbWbWbu7jx/th7r7j2c8vRl4bnh8FfBVd88Dj5jZJqZn0ze5+xYAM/tqeO19R1tLLY3mR+lLO2WguGhG4J6cCB6b22Z9XVQGw8Dd26YZbhEREZGoVDPDfZqZ3QHcC9xnZreZ2enzWMPLgRvC4xXAthnntodjc43PysyuMbNbzezWgYFjZ0XDewfvpS8NI+0Qb6lvD3euUOLaLwb/UKEebhEREZHoVBO4rwPe4u5r3H018Ffh2EGZ2U/M7J5Zvq6acc07gSLwpSP9A8zG3a9z943uvrG/v38+3/qo7JnYQ9dEELjzpfz0ianAXbse7i/85lGGMwVAgVtEREQkStW0lLS5+88qT9z9JjM7ZO+Du19+sPNm9lLgGcBl7u7h8A5g1YzLVoZjHGT8uDGcH6az4OSa9w/clZsmazfD/e07dtDSFOPPL1hNv26aFBEREYlMNTPcW8zsb8xsbfj1LmDL0XyomV0BvBV4prtnZpz6LvACM0uY2TpgA/A74BZgg5mtM7MWghsrv3s0NdTDSG6ExCTkmo3J0uT0iYgDd6nsfOHmR/nxvbvZNpQhO1niwT1jXPOHJ/CePz0NM4vkc0VERESkuhnulwPvBb4VPv9lOHY0PgokgBvDsHezu1/r7vea2dcJboYsAq919xKAmb0O+BEQBz7r7vceZQ01N5wfJlmAgRaYLIeBe2IQfv73wXFEwff63+/ib/7znqnn//z8syiVnbNXdR/kVSIiIiIyHw4ZuN19GHjDfH6ou594kHMfAD4wy/j1wPXzWUetjeRGaC3GyDc73Ykw7O6+O3jsOymyzy2Wy/s8f/PX7qIj0cTGtT2RfaaIiIiIBOYM3GZ20JYNd3/m/JezsA3nh0kVYpyx8hyefck/BIOZweDx+V+M7HNzhfIBY+9/9ul0t+pmSREREZGoHWyG+yKCpfi+AvwWUKPvURrJj9A8WeakFWeyuG1pMDgRLlvYFt1qKkMTkweMnbtas9siIiIitXCwwL0U+BPghcCLgB8AXzkee6ePFSOZIZqKZSw14+bIib1gcUhG1089PEvgXtlT210tRURERBrVnIE7vFnxh8APzSxBELxvMrP3uvtHa1XgQlH2MoWJMQBiqRnrbU8MQGsvxKpZMKY6+WKJchlSLXEAhjKTdLc28/3XP4kdw1l2p3NamURERESkRg5602QYtJ9OELbXAh8Bvh19WQtPtpilpRAsNx5rnTG7nBmEtr55/aznf+pm7tkxyqa/uxIIZrhX9bSyMvwSERERkdo52E2T/wGcTrAyyHvd/Z65rpVDG58cJxF2dsT2aSkZmPfAfee2EQAGxvL0dyQYyhToadMNkiIiIiL1cLA+hhcTbDzzRuDXZpYOv8bMLF2b8haOieIEyWAn9eke7nIJhh6BjmXz9jnTm3bCrzYN4O7sHMnSp+3bRUREROriYD3c89dULExMTpAIA/dUD/fWX8HE43DSFfP2OcOZwtTxtqEsjw5mGBjLa1USERERkTpRqK6R8cI4if17uB/5RbBCyclPO+Tr//WnD/OcT/x6nxnsmb53107u2THKXWE7CcDWwQku+fBNAFx4Qu/R/QFERERE5IhUs7W7zINMIUNy/x7usd3QvhiaD75EX75Y4h9vfAiAu7ePcvf2Ec5f18uqRSlaW5pwd17/lTsOeN0vH94LwLq+Ntb3t83fH0ZEREREqqbAXSPjhfEDe7jHd0PH0kO+9s7HpmetP//rrXzrjh0AnLO6m2+/5omMzGgjecOlJ3Laii4+/rNN3LV9FICvXXOhlgEUERERqRMF7hoJWkqC41hrONs8thu6Vh3ytY+P5QFobYlPhW2AO8IgvmMkC8BHXngOzzxrOQBf/d1jAHQkmujvSMzLn0FEREREDp96uGskU8jMCNwzWkqqmOHeOx4E7ktPWTw1tmpRinjMKJbKbB8OAve63um2kZ7WYFWS9YvbNbstIiIiUkcK3DUyXhintRD8dcdSKSgVILO3qiUBB8cnicdsKnD3tbfw2ktOpFR2do3m+MZt2wBYMWO79tZEsMvk2aui2zJeRERERA5NLSU1MlGYoKPUjDUb1tQEI0HLBx1L5nzN7tEc137xNhxY1NbC089cRrHsnLK0g3S2CMCN9+3hJ/c/DkBPa/PUa7cMTABwwbpF0fyBRERERKQqCtw1cv/g/TyFNqw17CvZGa4qsuT0OV/zd9ffP7Vr5BOWdZJoivNnG4Oe78cGMwC87/v3AfDJF5+3T+vI6y49kW3DGZ60YX53sRQRERGRw6OWkhrYm93L3XvvZnXzkuklAbffAvEELD3zgOvv3TnKx2/axI/v2z01tv9Okat7W/nDGWH69BWd+5y/eH0fv3zrpXQkmxERERGR+tEMdw08MPQAAH3WTiwVzEyz805YegY0Hbjl+gdveGBqDe2KxR3JA6571R+tn7qur10rkYiIiIgcizTDXQMj+aAtpGXSp2e4vXllWAAAG2xJREFUJwagc/ms14/ligeMXXnGgauZLO+eDuHJ5vg8VCoiIiIi800z3DUwkgsCd1O+iFWWBMyOQGr2FUQm8tOB+93POJV7dozy5JMXH3Dd8u6D71ApIiIiIvWnwF0DI/kRDMNyeWKLwlVDssOQnD1wZyZLbFjczqnLO3nJRWtois/+DxGa1RYRERE59ilw18BIfoTORCeezRFLtUIhC6U8pHpmvX48X+SyJyzmfVfNvYJJxcXre9mwuH2+SxYRERGReaLAXQOj+VG6E92Us5mghzsbtJjM1lLi7kzki7QlqvvWfPkvL5zPUkVERERknummyRoYyY/QlejCM9lgW/fscHBilpaSyVKZYtlprzJwi4iIiMixTYG7BqZnuLNYKgW5ygz3gS0lE/kSAK0t6s8WERERWQgUuGtgJD9Cn7fj+TxNPT0HbSmprFBSbUuJiIiIiBzblOpqYGxyjL5s8Fcd7+2bs6Xk15v2csM9we6SbS361oiIiIgsBEp1ESt7mYnCBD0ZA6Cprw9yO4KT+7WUXPvF20jnKjPcaikRERERWQjUUhKxicIEjtM5Xgagqa83bCkxSHTuc+3izumdI9VSIiIiIrIwKHBHbHxyHID28eBmyHhvb7jpTRfE9v3rzxdLU8cpbWojIiIisiAocEcsPZkGoDWdBzOaFi0KVinZr53E3RkYy08F7cWdiZrXKiIiIiLzT30LERsvBDPcyXSOeE8P1tQUtJTst0LJeL5IrlDmHVeewtUXryXRpBluERERkYVAM9wRq7SUNOdKxDrCLdhzIwesUDIwlgegrz2hsC0iIiKygChwR2ysMAZA02SJWDIVDGaHD2gp2Z3OAdDfoVYSERERkYVEgTtilRnu+GSRWDJchWSWlpJP3LSZjkQTpy7r3P8tREREROQ4psAdsUoPdyxfDLZ1d5+1peTWrcM8d+NKets1wy0iIiKykChwR2xscoymWBNkc8EM9+QElIv7zHAXS2WyhRLdqZY6VioiIiIiUVDgjthofpSuli48l8NSYeAGaGmbumYiH6y/3ZHUojEiIiIiC40Cd8TSk2m6El2UczliqVYohIG7eTpwj+ULALQrcIuIiIgsOArcERvNj9KV6MKz2bClJBOcaGmdumY8XwSgQ9u5i4iIiCw4CtwRG8mPTM1wWyoJhTBwz5jhHs8FgVsz3CIiIiILjwJ3xEbzo3Q1deK5XLAO91QP9/QM91g4w92uGW4RERGRBUeBO2LpyTSLLJjNju0zwx0E7sHxPC/791sA3TQpIiIishApcEcoX8qTLWbpsSBcWzI1o4c7COFfvWXb1PXtieaa1ygiIiIi0VLgjlA6nwag24PAHUulZqxSEoxtH85OXa8ebhEREZGFR4E7QqP5UQA6ysHukUFLSRiwm1MA3PHY8NT1rc3x2hYoIiIiIpFT4I7QRDGYzW4tBUHa9rlpso1CqczmgfGp62Mxq3mNIiIiIhIt9TBEKBPeIJkqBkE6lkpCJgMWh3gLjw6MUyg573r6E7jwhN56lioiIiIiEdEMd4QyxSBwJ4ONJLHKxjctbWDGw3uC2e0L1vVy+oquepUpIiIiIhFS4I5QZYa7JVhme/qmyfCGyS17g/aS9YvbZn29iIiIiBz/FLgjlC0GN0i2TAbPp7Z2Dze9GclMkmqO09qizh4RERGRhUqBO0JTM9yFMgCWaoX0DkgG7SPpbJHOlMK2iIiIyEKmwB2hSg93PNy6PTaxHR77DTzhTwFI5wp0JrXZjYiIiMhCpsAdoUwhQ6opBfk8ALGRB4ITJz8dCAK3tnMXERERWdgUuCOUKQaBu5zNQTwO5SB4k+gAYCxXpDOlGW4RERGRhUyBO0KVwO25LLFkEttvl8l0Vi0lIiIiIgtdXQK3mX3IzB4ws7vN7Ntm1h2OrzWzrJndGX59csZrzjOz35vZJjP7iJkd89syZgtZWptbKWdzWGVJQAjW4QbSOd00KSIiIrLQ1WuG+0bgdHc/E3gIePuMc5vd/ezw69oZ458A/hLYEH5dUbNqj1CmmKG1qZVyNhuswT05vcuku5POFujQDLeIiIjIglaXwO3uP3b3cDsYbgZWHux6M1sGdLr7ze7uwH8Az4q4zKNWCdyVlhIK2aldJnOFMsWyq6VEREREZIE7Fnq4Xw7cMOP5OjO7w8x+bmZ/GI6tALbPuGZ7ODYrM7vGzG41s1sHBgbmv+IqZQqZA1tKwl0m07lgv3e1lIiIiIgsbJGlPTP7CbB0llPvdPfvhNe8EygCXwrP7QJWu/ugmZ0H/KeZnXa4n+3u1wHXAWzcuNGPpP75kC1mg5aS3N4DdpkcGAtWLOlta6lXeSIiIiJSA5EFbne//GDnzeylwDOAy8I2Edw9D+TD49vMbDNwErCDfdtOVoZjx7TKDLdnc8T6eqGQnprh3jWaA2BZV6qeJYqIiIhIxOq1SskVwFuBZ7p7ZsZ4v5nFw+MTCG6O3OLuu4C0mV0Yrk7yEuA7dSj9sOxz02QyBYXMjMAdLBG4rDtZzxJFREREJGL1aiD+KJAAbgxX97s5XJHkj4D3mVkBKAPXuvtQ+JrXAJ8DUgQ93zfs/6bHkmK5SL6UJ9WcopybsUpJy/QMd3Pc6GtL1LlSEREREYlSXQK3u584x/g3gW/Oce5W4PQo65pP2WIwg93a1Ep5NE2soyOY4W7r5+E9Y3zips10JJuIxY755cRFRERE5CgcC6uULEiZQtAp01ZqojwxQVN/P0xOQEsrf3f9/cG5Fq1QIiIiIrLQKXBHJFMMAnfHWAmApr4+KGQpxpP84uG9nLemh09fvbGeJYqIiIhIDShwR6QSuNvSkwA09fdBIUPekpTKznPOXcnpK7rqWaKIiIiI1IACd0QqLSWpcPm/pp4uyI+Rj7cD0J5UO4mIiIhII1DgjkjlpslEuPxfU3MOcNKtqwHoSChwi4iIiDQCBe6IVFpKmocnIBYjXtoLwEgq2L9HM9wiIiIijUGBOyLZQjCzHR8ZI967CBt9BIC9zWHg1gy3iIiISENQ6otIZYY7NjRKrK8fBjdDsoshD3u4FbhFREREGoJmuCMyPjkeHAyOBEsC7roLlpzBeD5YJrBDLSUiIiIiDUGBOyJjk2OkmlKUBgdp6u2B3XfDinMZzxcBaNMMt4iIiEhDUOCOyFhhjM54O8XBQZpagdLkVOBONsdojuuvXkRERKQRKPVFZGxyjMWlVigUaGqLB4NdqxnLFWlPNNe3OBERERGpGQXuiKQn0yzJJwFoagsDdqKd8XxR/dsiIiIiDUSBOyLpfJqeYgKAWMKDwZZ2hibydKU0wy0iIiLSKBS4IzI2OUZXqQWAWDxYmYREO48NZVi9qLWOlYmIiIhILSlwR2SsMEZnIWgdicUKABTirewcybGmV4FbREREpFEocEfA3RmbHKMjDNzxeAGaW9mZnqRUdlZphltERESkYShwRyBTzFD2Mu2F4K83FstBS9BOArBGgVtERESkYShwR2BscgyA5GRws2TMcpBoZ2AsD8CSzmTdahMRERGR2lLgjkC2mAUgkSthqRRWmICWdtLZoJdbq5SIiIiINA4F7gjkijkAmnMlYu1tMDkOiQ7SuWBbd63DLSIiItI4FLgjkCuFgTtbIN7WDvmxqRnu1pY4TdrWXURERKRhKPlFIFsIWkri2UlibZUZ7nbSuQKdSbWTiIiIiDQSBe4IZEszAnd7O0zshdQixnJFOlNqJxERERFpJArcEajcNGkTWWItBvk0LDlNM9wiIiIiDUiBOwKVmyYZGKSpsuT2sjNJZ4t0aoUSERERkYaiwB2BbDFLc8Hx0TTNiRxYDBZXZrjVUiIiIiLSSBS4I5Ar5ugN9r6hubUEqUXQnCSdLdChlhIRERGRhqLAHYFsMUv/mAHQ1FqEZBfuTlo3TYqIiIg0HAXuCGSLWZZNBDPZzYlJSHaRLZQolV03TYqIiIg0GAXuCORKOXon4gA0NWcg2UU6G+wyqZsmRURERBqLAncEssUsXfkYlkgQK6WDwJ0rAGiGW0RERKTBKHBHIFfM0ZEz4p2dkBsNZ7jDwK0ebhEREZGGosAdgWwxS3veiHXNCNzhDLdWKRERERFpLArcEVjVsYpFhRbiHR1QykOqe7qHW+twi4iIiDQUBe4IvOvCd7GaXuJtqWAg2cVYpYdbN02KiIiINBQF7oiUR0eJtyWCJ8lu0rlghrtDM9wiIiIiDUWBOyKldJpYqiV4Et40mWyOkWiK17cwEREREakpBe4IeKlEeXyceCoM18kuRrWtu4iIiEhDUuCOQCmdBiCeCLZ3J9nFztEcy7qSdaxKREREROpBgTsC5YkJAGLNpWAg2cX2oQwre1J1rEpERERE6kGBOwLlTAaAWCy4UbLc0sn2kSyrelrrWZaIiIiI1IECdwS8ErhtEuItDOSMyWJZM9wiIiIiDUiBOwLlbBaAmOUg2cX7fnA/AKsWaYZbREREpNEocEegErjNs5Ds4ucPDnDi4nYuPKG3zpWJiIiISK0pcEegPBG2lHiGcqKT8XyRZ5+zgmSz1uAWERERaTQK3BEoZyuBe4LJpg4A+tpb6lmSiIiIiNSJAncEvNLDXR4nF2sDoK89Uc+SRERERKROFLgjMLUsoE+QsWBlkl4FbhEREZGGpMAdgXImC83NWHGCcQ+CtlpKRERERBqTAncEytkssdYUTI4zVqoEbs1wi4iIiDQiBe4IlDMZYskUeInRcoLWlrhWKBERERFpUArcEShnM8RSSQDS5QSdyeY6VyQiIiIi9aLAHYFghjvo2R4tttCZaqpzRSIiIiJSLwrcEfBMllg4qz1SaqFDM9wiIiIiDUtTrxFY9ZlP44/8Br7yE4YKLXR26K9ZREREpFHVbYbbzP7WzO42szvN7MdmtjwcNzP7iJltCs+fO+M1V5vZw+HX1fWq/VBiLS3Em0oADBaa6UxphltERESkUdWzpeRD7n6mu58NfB94dzj+NGBD+HUN8AkAM1sEvAe4ADgfeI+Z9dS86mrlxwHYO9lMR1Iz3CIiIiKNqm6B293TM562AR4eXwX8hwduBrrNbBnwVOBGdx9y92HgRuCKmhZ9OCYnABjINWmVEhEREZEGVtepVzP7APASYBR4cji8Atg247Lt4dhc47O97zUEs+OsXr16fouu1mQwwz1aTqqlRERERKSBRTrDbWY/MbN7Zvm6CsDd3+nuq4AvAa+br8919+vcfaO7b+zv75+vtz08YeCeIKGWEhEREZEGFmkSdPfLq7z0S8D1BD3aO4BVM86tDMd2AJfsN37TURcZlewIHmsmiza+EREREWlk9VylZMOMp1cBD4TH3wVeEq5WciEw6u67gB8BTzGznvBmyaeEY8em7DDFRBdgmuEWERERaWD1TIIfNLOTgTLwKHBtOH49cCWwCcgALwNw9yEz+1vglvC697n7UG1LPgy5ESabOwHUwy0iIiLSwOoWuN39OXOMO/DaOc59FvhslHXNm+ww+aYuALWUiIiIiDQwbe0elewImXgHAJ1qKRERERFpWArcUcmOMBELA7daSkREREQalgJ3VHIjjFkbLfEYiSb9NYuIiIg0KiXBKJQKkE8z6u10JJsws3pXJCIiIiJ1osAdhdwoAMPepnYSERERkQanwB2FfBqAoVJKN0yKiIiINDgF7ijkxwAYLibo0JKAIiIiIg1NgTsKYeB+fLKFLrWUiIiIiDQ0Be4ohIF7R7aJvvaWOhcjIiIiIvWkwB2FMHDvybfQ156oczEiIiIiUk8K3FEIb5oc9xR9HQrcIiIiIo1MgTsK4Qz3GCn6NcMtIiIi0tAUuKOQH6NscXK0aIZbREREpMEpcEchP0ahqQ0w3TQpIiIi0uAUuKOQHyMfawOgt00z3CIiIiKNTIE7CvkxcvE2muNGsll/xSIiIiKNTGkwCvkxstZKe6IJM6t3NSIiIiJSRwrcUfjjt/KD3pfSnmyqdyUiIiIiUmdKhFFY+yRujydpT2TrXYmIiIiI1JlmuCMyni/QkdB/z4iIiIg0OgXuiIzlimopEREREREF7qiM54u0a4ZbREREpOEpcEdkXDPcIiIiIoICd2TG8kU6FLhFREREGp4CdwTyxRKTxbJumhQRERERBe4oTORLAOrhFhEREREF7iiM54oAtCeb61yJiIiIiNSbAncExvIFQDPcIiIiIqLAHYnKDLdumhQRERERBe4IjOfDlhLNcIuIiIg0PAXuCFQCt2a4RURERESBOwJjUzdNKnCLiIiINDoF7ghMzXAntEqJiIiISKNT4I7AeK5IPGYkm/XXKyIiItLolAgjMJ4v0p5owszqXYqIiIiI1JkCdwTSuYJWKBERERERQIE7EuO5olYoERERERFAgTsSlZYSERERERGlwgj81VNOoljyepchIiIiIscABe4InLdmUb1LEBEREZFjhFpKREREREQipMAtIiIiIhIhBW4RERERkQgpcIuIiIiIREiBW0REREQkQgrcIiIiIiIRUuAWEREREYmQAreIiIiISIQUuEVEREREIqTALSIiIiISIQVuEREREZEIKXCLiIiIiERIgVtEREREJEIK3CIiIiIiEVLgFhERERGJkAK3iIiIiEiE6hK4zexvzexuM7vTzH5sZsvD8UvMbDQcv9PM3j3jNVeY2YNmtsnM3laPukVEREREDle9Zrg/5O5nuvvZwPeBd88490t3Pzv8eh+AmcWBjwFPA04FXmhmp9a8ahERERGRw1SXwO3u6RlP2wA/xEvOBza5+xZ3nwS+ClwVVX0iIiIiIvOlbj3cZvYBM9sG/Dn7znBfZGZ3mdkNZnZaOLYC2Dbjmu3h2FzvfY2Z3Wpmtw4MDMx77SIiIiIi1TL3Q00uH+Ebm/0EWDrLqXe6+3dmXPd2IOnu7zGzTqDs7uNmdiXwL+6+wcyeC1zh7q8MX/MXwAXu/roq6hgAHp2PP9Nh6gP21uFz5dig739j0/e/sen7L/oZaExr3L1/thNNUX2iu19e5aVfAq4H3jOz1cTdrzezj5tZH7ADWDXjNSvDsWrqmPUPHjUzu9XdN9bjs6X+9P1vbPr+NzZ9/0U/A7K/eq1SsmHG06uAB8LxpWZm4fH5BPUNArcAG8xsnZm1AC8AvlvbqkVEREREDl9kM9yH8EEzOxkoE7R7XBuOPxd4tZkVgSzwAg96Xopm9jrgR0Ac+Ky731uHukVEREREDktdAre7P2eO8Y8CH53j3PUErSfHi+vqXYDUlb7/jU3f/8am77/oZ0D2EdlNkyIiIiIioq3dRUREREQipcAdAW1Dv7CZ2Soz+5mZ3Wdm95rZG8PxRWZ2o5k9HD72hONmZh8Jfx7uNrNz6/snkPlgZnEzu8PMvh8+X2dmvw2/z18Lb/DGzBLh803h+bX1rFvmh5l1m9k3zOwBM7vfzC7S74DGYWZvDn//32NmXzGzpH4HyMEocM8zbUPfEIrAX7n7qcCFwGvD7/HbgJ+6+wbgp+FzCH4WNoRf1wCfqH3JEoE3AvfPeP73wD+7+4nAMPCKcPwVwHA4/s/hdXL8+xfgh+5+CnAWwc+Cfgc0ADNbAbwB2OjupxMs5vAC9DtADkKBe/5pG/oFzt13ufvt4fEYwf/RriD4Pn8+vOzzwLPC46uA//DAzUC3mS2rcdkyj8xsJfB04NPhcwMuBb4RXrL/97/yc/EN4LLK8qdyfDKzLuCPgM8AuPuku4+g3wGNpAlImVkT0ArsQr8D5CAUuOffYW1DL8e38J8GzwF+Cyxx913hqd3AkvBYPxMLz/8F3kqwtClALzDi7sXw+czv8dT3Pzw/Gl4vx691wADw72Fb0afNrA39DmgI7r4D+DDwGEHQHgVuQ78D5CAUuEWOkJm1A98E3jRzl1SAcP14LQG0AJnZM4DH3f22etciddMEnAt8wt3PASaYbh8B9DtgIQt7868i+A+v5UAbcEVdi5JjngL3/Dvibejl+GFmzQRh+0vu/q1weE/ln4nDx8fDcf1MLCxPBJ5pZlsJWsYuJejn7Q7/eRn2/R5Pff/D810EO+jK8Ws7sN3dfxs+/wZBANfvgMZwOfCIuw+4ewH4FsHvBf0OkDkpcM8/bUO/wIW9d58B7nf3f5px6rvA1eHx1cB3Zoy/JFyp4EJgdMY/O8txxt3f7u4r3X0twf++/8vd/xz4GcFuuXDg97/yc/Hc8HrNfB7H3H03sC3cMRngMuA+9DugUTwGXGhmreH/H1S+//odIHPSxjcRMLMrCXo8K9vQf6DOJck8MrMnAb8Efs90D+87CPq4vw6sBh4F/szdh8JfyB8l+CfHDPAyd7+15oXLvDOzS4C/dvdnmNkJBDPei4A7gBe7e97MksAXCHr9h4AXuPuWetUs88PMzia4abYF2AK8jGASS78DGoCZvRd4PsGqVXcAryTo1dbvAJmVAreIiIiISITUUiIiIiIiEiEFbhERERGRCClwi4iIiIhESIFbRERERCRCCtwiIiIiIhFS4BYROY6ZWcnM7pzx9bZDXH+t2f9v735CtKrCOI5/f+pmQBRN2kgIIohUOqU7JQRX0k4D0SS3QRAEghpC49aNorgIJP9g2CYcCEEG/IOFii6SKV1LSxGsCCUinhb3CC/DuBnnbXzf+X7gcu/7nHvuufddPTwczsknszDuoyQrXvU5kjQfuCygJA2wJH9V1eI5GPcRsKmqnvzfY0vSoLHCLUlDqFWgjyb5JcndJGtafCzJ/nb9eZKHSSaTfNdiy5OMt9idJOtb/I0kE0keJDkNpGesvW2M+0m+TrKwHWeT/Nre4Ys5+Bsk6bVgwi1Jg21kypSSXT1tf1TVu3S7HB6fpu9B4L2qWg982mJHgJ9b7EvgfIt/BfxUVW8Dl+h2UyTJOrod9zZX1SjwL/AxMAqsrKp32jucmcVvlqSBsmiuX0CS9Eqet0R3Ohd7zsemaZ8Evk0yDoy32BZgJ0BVXWuV7SXAB8COFr+c5Gm7fxuwEbjX7WDOCPAY+AFYneQkcBmYmPknStJgs8ItScOrXnL9wofAKeB9uoR5JkWYAOeqarQda6tqrKqeAhuAG3TV89MzeLYkDQUTbkkaXrt6zrd7G5IsAN6qquvAAWApsBj4kW5KCEm2Ak+q6k/gJrCnxbcDy9qjrgIfJXmztS1PsqqtYLKgqr4HDtMl9ZI0LzmlRJIG20iS+z2/r1TVi6UBlyWZBP4Gdk/ptxC4kGQpXZX6RFX9nmQM+Kb1ewbsa/cfAS4meQDcAn4DqKqHSQ4DEy2J/wf4DHgOnGkxgEOz98mSNFhcFlCShpDL9knS68MpJZIkSVIfWeGWJEmS+sgKtyRJktRHJtySJElSH5lwS5IkSX1kwi1JkiT1kQm3JEmS1Ecm3JIkSVIf/Qed2iXfmc70hAAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(12, 9))\n", "\n", "\n", "for i, label in enumerate(labels_lr):\n", " plt.plot(x_lr[i][:-49], moving_average(y_lr[i], 50), label=\"Lr = \"+str(label))\n", " \n", "\n", "\n", " \n", "plt.xlabel(\"Episodes\")\n", "plt.ylabel(\"Moving Average Reward\")\n", "plt.title(\"Variation w.r.t Learning Rate\")\n", "#plt.xlim(0, 500)\n", "#plt.ylim(-50, 50)\n", "plt.legend()" ] }, { "cell_type": "code", "execution_count": 76, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 76, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(12, 9))\n", "\n", "\n", "for i, label in enumerate(labels_e):\n", " plt.plot(x_e[i][:-49], moving_average(y_e[i], 50), label=\"Epsilon = \"+str(label))\n", " \n", " \n", "plt.title(\"Learning Curve with Varying Epsilon\")\n", "plt.xlabel(\"Episodes\")\n", "plt.ylabel(\"Moving Average Reward\")\n", "#plt.xlim(0, 500)\n", "#plt.ylim(-50, 50)\n", "plt.legend()" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.8" } }, "nbformat": 4, "nbformat_minor": 2 }