diff --git a/reinforce/REINFORCE.ipynb b/reinforce/REINFORCE.ipynb index 095677059..7da47d045 100644 --- a/reinforce/REINFORCE.ipynb +++ b/reinforce/REINFORCE.ipynb @@ -20,14 +20,15 @@ }, { "cell_type": "code", - "execution_count": 1, + "execution_count": 25, "metadata": {}, "outputs": [], "source": [ - "import gym\n", + "import gymnasium as gym\n", "gym.logger.set_level(40) # suppress warnings (please remove if gives error)\n", "import numpy as np\n", "from collections import deque\n", + "from IPython import display\n", "import matplotlib.pyplot as plt\n", "%matplotlib inline\n", "\n", @@ -48,21 +49,21 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": 26, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "observation space: Box(4,)\n", + "observation space: Box([-4.8000002e+00 -3.4028235e+38 -4.1887903e-01 -3.4028235e+38], [4.8000002e+00 3.4028235e+38 4.1887903e-01 3.4028235e+38], (4,), float32)\n", "action space: Discrete(2)\n" ] } ], "source": [ - "env = gym.make('CartPole-v0')\n", - "env.seed(0)\n", + "env = gym.make('CartPole-v1', render_mode=\"rgb_array\")\n", + "env.reset(seed=0)\n", "print('observation space:', env.observation_space)\n", "print('action space:', env.action_space)\n", "\n", @@ -96,21 +97,20 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 27, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "Episode 100\tAverage Score: 34.47\n", - "Episode 200\tAverage Score: 66.26\n", - "Episode 300\tAverage Score: 87.82\n", - "Episode 400\tAverage Score: 72.83\n", - "Episode 500\tAverage Score: 172.00\n", - "Episode 600\tAverage Score: 160.65\n", - "Episode 700\tAverage Score: 167.15\n", - "Environment solved in 691 episodes!\tAverage Score: 196.69\n" + "Episode 100\tAverage Score: 41.62\n", + "Episode 200\tAverage Score: 92.28\n", + "Episode 300\tAverage Score: 46.94\n", + "Episode 400\tAverage Score: 36.92\n", + "Episode 500\tAverage Score: 70.32\n", + "Episode 600\tAverage Score: 72.85\n", + "Environment solved in 588 episodes!\tAverage Score: 202.86\n" ] } ], @@ -124,11 +124,11 @@ " for i_episode in range(1, n_episodes+1):\n", " saved_log_probs = []\n", " rewards = []\n", - " state = env.reset()\n", + " state, _ = env.reset()\n", " for t in range(max_t):\n", " action, log_prob = policy.act(state)\n", " saved_log_probs.append(log_prob)\n", - " state, reward, done, _ = env.step(action)\n", + " state, reward, done, _, _ = env.step(action)\n", " rewards.append(reward)\n", " if done:\n", " break \n", @@ -167,14 +167,14 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 28, "metadata": {}, "outputs": [ { "data": { - "image/png": "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\n", + "image/png": "iVBORw0KGgoAAAANSUhEUgAAAkQAAAGwCAYAAABIC3rIAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjguMCwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy81sbWrAAAACXBIWXMAAA9hAAAPYQGoP6dpAABr/ElEQVR4nO3deXwTZf4H8E/S+y4ttKVQoAgI5ZZCKZcHFURWRVl/4rKKysqqoOK5oIK3IB6rKMLiAboeCLqgolxyH6VAodyUq9BytAVK7zbNMb8/SqYzyUyatmmTNJ/369XXi85MkidDM/nO9/k+z6MRBEEAERERkQfTOrsBRERERM7GgIiIiIg8HgMiIiIi8ngMiIiIiMjjMSAiIiIij8eAiIiIiDweAyIiIiLyeN7OboA7MJlMuHDhAkJCQqDRaJzdHCIiIrKDIAgoKSlBbGwstFrbOSAGRHa4cOEC4uLinN0MIiIiqoecnBy0bdvW5jEMiOwQEhICoPqEhoaGOrk1REREZI/i4mLExcWJ3+O2MCCyg7mbLDQ0lAERERGRm7Gn3IVF1UREROTxGBARERGRx2NARERERB6PARERERF5PAZERERE5PEYEBEREZHHY0BEREREHo8BEREREXk8BkRERETk8RgQERERkcdzakC0ZcsW3HHHHYiNjYVGo8GKFStk+wVBwMyZM9G6dWsEBAQgJSUFJ06ckB1TUFCA8ePHIzQ0FOHh4Zg4cSJKS0tlxxw4cABDhw6Fv78/4uLiMGfOnMZ+a0RERORGnBoQlZWVoXfv3pg3b57i/jlz5mDu3LlYsGAB0tLSEBQUhJEjR6KyslI8Zvz48Th8+DDWrVuHlStXYsuWLZg0aZK4v7i4GCNGjED79u2Rnp6O9957D6+99hoWLlzY6O+PiIiI3INGEATB2Y0AqhdeW758OcaMGQOgOjsUGxuL5557Ds8//zwAoKioCNHR0Vi8eDHGjRuHo0ePIiEhAbt370ZiYiIAYPXq1bj99ttx7tw5xMbGYv78+Xj55ZeRm5sLX19fAMC0adOwYsUKHDt2zK62FRcXIywsDEVFRVzclYiIyAEKy6tQqjPAS6uBwSjA20uD1mEBDn2Nunx/u2wNUVZWFnJzc5GSkiJuCwsLQ1JSElJTUwEAqampCA8PF4MhAEhJSYFWq0VaWpp4zLBhw8RgCABGjhyJzMxMXL16VfG1dTodiouLZT9ERETkGFuOX0K/t/7EkHc3InnWBgydsxF3frrdqW1y2YAoNzcXABAdHS3bHh0dLe7Lzc1FVFSUbL+3tzciIiJkxyg9h/Q1LM2aNQthYWHiT1xcXMPfEBEREQEADl0ogtEk76DSOKktZi4bEDnT9OnTUVRUJP7k5OQ4u0lERETNhlKxjlbj3JDIZQOimJgYAEBeXp5se15enrgvJiYG+fn5sv0GgwEFBQWyY5SeQ/oalvz8/BAaGir7ISIiosbj5HjIdQOi+Ph4xMTEYP369eK24uJipKWlITk5GQCQnJyMwsJCpKeni8ds2LABJpMJSUlJ4jFbtmyBXq8Xj1m3bh2uv/56tGjRooneDREREZkpjefy6AxRaWkpMjIykJGRAaC6kDojIwPZ2dnQaDSYOnUq3nrrLfz66684ePAgHnzwQcTGxooj0bp164bbbrsNjz76KHbt2oXt27djypQpGDduHGJjYwEAf/vb3+Dr64uJEyfi8OHD+PHHH/Hxxx/j2WefddK7JiIi8myuMb5dztuZL75nzx7cfPPN4u/mIGXChAlYvHgxXnzxRZSVlWHSpEkoLCzEkCFDsHr1avj7+4uP+e677zBlyhQMHz4cWq0WY8eOxdy5c8X9YWFhWLt2LSZPnox+/fqhZcuWmDlzpmyuIiIiImo6SvGQ1sl9Vi4zD5Er4zxEREREjjN3/Ql8uO64bFu7iEBsefFmlUfUT7OYh4iIiIiaJ6VUDIuqiYiIyKMICp1mHl1UTURERJ5HMUPU9M2QYUBERERETUqpeJldZkREROTxNOwyIyIiIo+i0GfGLjMiIiLyKIrzEDFDRERERJ7EnCDSSmIg1hARERGRRzEPu5dmhVhDRERERB5FzBBJUkSsISIiIiKPJA2C2GVGREREHsVcVC3tMmNRNREREXkUc5eZl7TLjBkiIiIi8iTmomqNbJQZM0RERETkSZQyRE5qihkDIiIiInIK+bB7JzYEDIiIiIioidUUVddsY1E1EREReRRBMNcQscuMiIiIPJTS0h3MEBEREZFHMXeZecmGmTmlKSIGRERERNSkzBkidpkRERGRx5MOu2eXGREREXkU5YkZndSYaxgQERERUZOqKapmhoiIiIg8nJYZIiIiIvJU5nmInJ0VkmJARERERE1KHHbPomoiIiKiGs5OFjEgIiIioibFomoiIiLyeOZh99IuM2dXEzEgIiIioialtJaZhhkiIiIi8iTmomqtNEPEGiIiIiLyRFquZUZERESeSqnLjEXVRERE5GHMa5mxy4yIiIg8FDNERERE5PHMAZGXbJiZc9pixoCIiIiImpR5HiIWVRMREZHH03CmaiIiIvJUyhMzOqctZgyIiIiIqNF9n5aN0XO3Ir+4smZiRhfKEHk79dWJiIjII7y0/CAAYPbqY9BcqxhiDRERERF5pEq9UVJULdnBLjMiIiLyFIIAcTEzV+oyY0BERERETqGVRCHsMiMiIiKPYi6q5rB7IiIi8ljCtXH3XlzLjIiIiDxVzbD7mm0MiIiIiMijCApF1Rp2mREREZGnMAdDAKDVch4iIiIi8lBKXWYsqiYiIiKPIUAQi6q1LKomIiIiT6U07J5dZkREROQxNNCIEZGXdGJGLu5KREREnkIQVzJjlxkRERER1zIjIiIiz2Ueei+NgVhDZIPRaMSMGTMQHx+PgIAAXHfddXjzzTfF6nSgevrvmTNnonXr1ggICEBKSgpOnDghe56CggKMHz8eoaGhCA8Px8SJE1FaWtrUb4eIiIigPDGjdE4iZ3DpgOjdd9/F/Pnz8emnn+Lo0aN49913MWfOHHzyySfiMXPmzMHcuXOxYMECpKWlISgoCCNHjkRlZaV4zPjx43H48GGsW7cOK1euxJYtWzBp0iRnvCUiIiKPZ64i8nKhiRlduqh6x44duOuuuzB69GgAQIcOHfDDDz9g165dAKqzQx999BFeeeUV3HXXXQCAb775BtHR0VixYgXGjRuHo0ePYvXq1di9ezcSExMBAJ988gluv/12vP/++4iNjXXOmyMiIvJQSl1mzo6IXDpDNGjQIKxfvx7Hjx8HAOzfvx/btm3DqFGjAABZWVnIzc1FSkqK+JiwsDAkJSUhNTUVAJCamorw8HAxGAKAlJQUaLVapKWlKb6uTqdDcXGx7IeIiIgaTrZ0hwsVVbt0hmjatGkoLi5G165d4eXlBaPRiLfffhvjx48HAOTm5gIAoqOjZY+Ljo4W9+Xm5iIqKkq239vbGxEREeIxlmbNmoXXX3/d0W+HiIiIoLLavVNaUsOlM0RLly7Fd999h++//x579+7F119/jffffx9ff/11o77u9OnTUVRUJP7k5OQ06usRERF5EsWiamaI1L3wwguYNm0axo0bBwDo2bMnzp49i1mzZmHChAmIiYkBAOTl5aF169bi4/Ly8tCnTx8AQExMDPLz82XPazAYUFBQID7ekp+fH/z8/BrhHREREZE5R8SJGe1UXl4OrVbeRC8vL5hMJgBAfHw8YmJisH79enF/cXEx0tLSkJycDABITk5GYWEh0tPTxWM2bNgAk8mEpKSkJngXREREJKWUIXJ2l5lLZ4juuOMOvP3222jXrh26d++Offv24cMPP8QjjzwCoHrdk6lTp+Ktt95C586dER8fjxkzZiA2NhZjxowBAHTr1g233XYbHn30USxYsAB6vR5TpkzBuHHjOMKMiIioiQlQqSFil5m6Tz75BDNmzMATTzyB/Px8xMbG4p///CdmzpwpHvPiiy+irKwMkyZNQmFhIYYMGYLVq1fD399fPOa7777DlClTMHz4cGi1WowdOxZz5851xlsiIiLyaDqDCd7XIiHpZIzO7jLTCNJpn0lRcXExwsLCUFRUhNDQUGc3h4iIyO10mPa71bZ/3dYV764+BgB49tYueGp4Z4e+Zl2+v126hoiIiIiaLw67JyIiIo/n7KH2UgyIiIiIyClcKB5iQERERETO4eVCRdUMiIiIiMgp2GVGREREHk/rOvEQAyIiIiJyDulkjM6eBIgBERERETkFu8yIiIjI43lJohBnx0YMiIiIiMgpnL1+mRQDIiIiInIKdpkRERGRx5OOMmNRNREREXkkZoiIiIjI42k5UzURERF5Ok7MSERERB6PXWZERETk8aThEIuqiYiIyCO5UIKIARERERE5C4uqiYiIyMM5OwiSYkBERERETuFC8RADIiIiInIOrmVGRERE5EIYEBEREZFTuE5+iAEREREROYkL9ZgxICIiIiLnYEBEREREHk/jQp1mDIiIiIjIOVwnHmJARERERMSAiIiIiJzChRJEDIiIiIjIOTgxIxEREXk81wmHGBARERGRk7hQgogBEREREREDIiIiInIKzkNEREREHo9dZkREROTxXCgeYkBERERETuJCEREDIiIiInIK1hARERERuRAGREREROQULKomIiIij+dC8RADIiIiInIOrmVGREREHs+F4iEGREREROR8LYJ8nfr63k59dSIiIvJYGgAf3dcHW05cwr394pzaFgZERERE5BQaDTCmbxuM6dvG2U1hlxkRERE5i+sUETEgIiIiIqdgUTURERF5PBeKhxgQERERETEgIiIiIqfgxIxERETk8VwnHGJARERERE7iQgkiBkRERETkHBoXyhExICIiIiKnYIaIiIiIyIW4fEB0/vx5/P3vf0dkZCQCAgLQs2dP7NmzR9wvCAJmzpyJ1q1bIyAgACkpKThx4oTsOQoKCjB+/HiEhoYiPDwcEydORGlpaVO/FSIiInJRLh0QXb16FYMHD4aPjw9WrVqFI0eO4IMPPkCLFi3EY+bMmYO5c+diwYIFSEtLQ1BQEEaOHInKykrxmPHjx+Pw4cNYt24dVq5ciS1btmDSpEnOeEtERER0jSt1mWkEQRCc3Qg106ZNw/bt27F161bF/YIgIDY2Fs899xyef/55AEBRURGio6OxePFijBs3DkePHkVCQgJ2796NxMREAMDq1atx++2349y5c4iNja21HcXFxQgLC0NRURFCQ0Md9waJiIg8RIdpv1tt++OpoUiIbbzv1bp8f7t0hujXX39FYmIi7r33XkRFRaFv3774/PPPxf1ZWVnIzc1FSkqKuC0sLAxJSUlITU0FAKSmpiI8PFwMhgAgJSUFWq0WaWlpiq+r0+lQXFws+yEiIiLHcqUMkUsHRKdPn8b8+fPRuXNnrFmzBo8//jieeuopfP311wCA3NxcAEB0dLTscdHR0eK+3NxcREVFyfZ7e3sjIiJCPMbSrFmzEBYWJv7ExcU5+q0RERGRC3HpgMhkMuGGG27AO++8g759+2LSpEl49NFHsWDBgkZ93enTp6OoqEj8ycnJadTXIyIi8kTMENmpdevWSEhIkG3r1q0bsrOzAQAxMTEAgLy8PNkxeXl54r6YmBjk5+fL9hsMBhQUFIjHWPLz80NoaKjsh4iIiByLEzPaafDgwcjMzJRtO378ONq3bw8AiI+PR0xMDNavXy/uLy4uRlpaGpKTkwEAycnJKCwsRHp6unjMhg0bYDKZkJSU1ATvgoiIiJS4UobI29kNsOWZZ57BoEGD8M477+D//u//sGvXLixcuBALFy4EUL1K7tSpU/HWW2+hc+fOiI+Px4wZMxAbG4sxY8YAqM4o3XbbbWJXm16vx5QpUzBu3Di7RpgRERFR43CheMi1A6L+/ftj+fLlmD59Ot544w3Ex8fjo48+wvjx48VjXnzxRZSVlWHSpEkoLCzEkCFDsHr1avj7+4vHfPfdd5gyZQqGDx8OrVaLsWPHYu7cuc54S0RERHSNK2WIXHoeIlfBeYiIiIgaRmkeoj+fHYZOUSGN9prNZh4iIiIias5cJ0XEgIiIiIicwpW6zBgQERERkVO4UDzEgIiIiIicQ+NCKSIGREREROTxGBARERGRU7hOfogBERERETUytRl+XKjHjAERERERNS61GQ+bzVpmVVVVyMzMhMFgcFR7iIiIyEO4fYaovLwcEydORGBgILp37y6uPv/kk09i9uzZDm0gERERuTd3WBKjXgHR9OnTsX//fmzatEm2ZlhKSgp+/PFHhzWOiIiIqCnUa3HXFStW4Mcff8TAgQNlcwh0794dp06dcljjiIiIyP0126LqS5cuISoqymp7WVmZS02yRERERM6n1mXmSjFDvQKixMRE/P57zaq15jf0xRdfIDk52TEtIyIiombNdcKhenaZvfPOOxg1ahSOHDkCg8GAjz/+GEeOHMGOHTuwefNmR7eRiIiI3JjqsHsXiojqlSEaMmQI9u/fD4PBgJ49e2Lt2rWIiopCamoq+vXr5+g2EhERkRsTVDrNXGkeojpniPR6Pf75z39ixowZ+PzzzxujTURERERNqs4ZIh8fH/z888+N0RYiIiJqhpptl9mYMWOwYsUKBzeFiIiIPIkLxUP1K6ru3Lkz3njjDWzfvh39+vVDUFCQbP9TTz3lkMYRERFRM+ZCEVG9AqIvv/wS4eHhSE9PR3p6umyfRqNhQEREREQid1jctV4BUVZWlqPbQURERM3UjF8OObsJtWrQavdA9XTcalNyExERkWfLLarET+nnFPe5fVE1AHzzzTfo2bMnAgICEBAQgF69euG///2vI9tGREREbq7KYFLd50LxUP26zD788EPMmDEDU6ZMweDBgwEA27Ztw2OPPYbLly/jmWeecWgjiYiIyD2pTcoIuNZaZvUKiD755BPMnz8fDz74oLjtzjvvRPfu3fHaa68xICIiIiIA6gXVgGtliOrVZXbx4kUMGjTIavugQYNw8eLFBjeKiIiImgeTjYjIhRJE9QuIOnXqhKVLl1pt//HHH9G5c+cGN4qIiIiaB5ObjLuqV5fZ66+/jvvuuw9btmwRa4i2b9+O9evXKwZKRERE5JlsjUR3pXmI6pUhGjt2LNLS0tCyZUusWLECK1asQMuWLbFr1y7cfffdjm4jERERuSmbCSLXiYfqlyECgH79+uHbb791ZFuIiIiombFZVO1CAVG9MkR//PEH1qxZY7V9zZo1WLVqVYMbRURERM2DzaLqJmxHbeoVEE2bNg1Go9FquyAImDZtWoMbRURERM2DrYDIldQrIDpx4gQSEhKstnft2hUnT55scKOIiIioebDdZeY6OaJ6BURhYWE4ffq01faTJ08iKCiowY0iIiKi5qFZd5ndddddmDp1Kk6dOiVuO3nyJJ577jnceeedDmscERERubdmXVQ9Z84cBAUFoWvXroiPj0d8fDy6du2KyMhIvP/++45uIxEREbkpo5vMQ1SvYfdhYWHYsWMH1q1bh/379yMgIAC9e/fG0KFDHd0+IiIicmMmG1NVu22GKDU1FStXrgRQXQg1YsQIREVF4f3338fYsWMxadIk6HS6RmkoERERuR93WbqjTgHRG2+8gcOHD4u/Hzx4EI8++ihuvfVWTJs2Db/99htmzZrl8EYSERGRezK6SURUp4AoIyMDw4cPF39fsmQJBgwYgM8//xzPPvss5s6dy7XMiIiISNQsV7u/evUqoqOjxd83b96MUaNGib/3798fOTk5jmsdERERuTVbGSJXKqquU0AUHR2NrKwsAEBVVRX27t2LgQMHivtLSkrg4+Pj2BYSERGR27I5ysx14qG6BUS33347pk2bhq1bt2L69OkIDAyUjSw7cOAArrvuOoc3koiIiNyT4CYTM9Zp2P2bb76Je+65BzfeeCOCg4Px9ddfw9fXV9z/1VdfYcSIEQ5vJBEREbkno8nZLbBPnQKili1bYsuWLSgqKkJwcDC8vLxk+5ctW4bg4GCHNpCIiIjcl80aIhfqM6v3xIxKIiIiGtQYIiIial6a9VpmRERERPawnSFqwobUggERERERNRrb8xC5TkTEgIiIiIgaja2AyJUwICIiIqJG4y6jzBgQERERUaOxtdq9K2FARERERI3G1kzVroQBERERETUa1hARERGRx2OXGREREXk8W/MQuRIGRERERNRojO4RD7lXQDR79mxoNBpMnTpV3FZZWYnJkycjMjISwcHBGDt2LPLy8mSPy87OxujRoxEYGIioqCi88MILMBgMTdx6IiIiz8MuMwfbvXs3/vOf/6BXr16y7c888wx+++03LFu2DJs3b8aFCxdwzz33iPuNRiNGjx6Nqqoq7NixA19//TUWL16MmTNnNvVbICIi8jgsqnag0tJSjB8/Hp9//jlatGghbi8qKsKXX36JDz/8ELfccgv69euHRYsWYceOHdi5cycAYO3atThy5Ai+/fZb9OnTB6NGjcKbb76JefPmoaqqyllviYiIyCNw2L0DTZ48GaNHj0ZKSopse3p6OvR6vWx7165d0a5dO6SmpgIAUlNT0bNnT0RHR4vHjBw5EsXFxTh8+LDi6+l0OhQXF8t+iIiIqO7cpcvM29kNqM2SJUuwd+9e7N6922pfbm4ufH19ER4eLtseHR2N3Nxc8RhpMGTeb96nZNasWXj99dcd0HoiIiLPxqU7HCAnJwdPP/00vvvuO/j7+zfZ606fPh1FRUXiT05OTpO9NhERUXPCLjMHSE9PR35+Pm644QZ4e3vD29sbmzdvxty5c+Ht7Y3o6GhUVVWhsLBQ9ri8vDzExMQAAGJiYqxGnZl/Nx9jyc/PD6GhobIfIiIiqjuBAVHDDR8+HAcPHkRGRob4k5iYiPHjx4v/9vHxwfr168XHZGZmIjs7G8nJyQCA5ORkHDx4EPn5+eIx69atQ2hoKBISEpr8PREREXkSd5mY0aVriEJCQtCjRw/ZtqCgIERGRorbJ06ciGeffRYREREIDQ3Fk08+ieTkZAwcOBAAMGLECCQkJOCBBx7AnDlzkJubi1deeQWTJ0+Gn59fk78nIiIiT+IuXWYuHRDZ49///je0Wi3Gjh0LnU6HkSNH4rPPPhP3e3l5YeXKlXj88ceRnJyMoKAgTJgwAW+88YYTW01EROQZ3GWUmUZwl849JyouLkZYWBiKiopYT0RERFQHb/x2BF9tz7LartUAp2eNbtTXrsv3t0vXEBEREZF7U5upWqvRNHFLbGNARERERI1GLSBysXiIARERERE1HrVRZhq4VkTEgIiIiIgaDTNERERE5PFUM0QMiIiIiMhTqI26Z5cZEREReQy1eYi0rhUPMSAiIiKixqM2UzWH3RMREZHHUF3LzLXiIQZERERE1HhUR5k1cTtqw4CIiIiIGo3JpLxdwy4zIiIi8hTqNURN3JBaMCAiIiKiRqM+ysy1IiIGRERERNRo1DJELhYPMSAiIiKixqM2yMzVyqoZEBEREVGjEVhDRERERJ7kh13Z+OjP47JtKvGQy3WZeTu7AURERNQ8TP/fQQDAqB6tcX1MCAD1eYhYVE1ERETNWnGlXvw3J2YkIiIij6feZeZaIREDIiIiImowafG0RrZd+XgXi4cYEBEREVHDqQ2vV+0yY0BEREREzY1a4KM2DZHGxaqIGBARERFRg0kDIkFluxTnISIiIqJmR21Ve7WuNA67JyIiomZHLROkXlXdeG2pDwZERERE1GBqAZFahsjF4iEGRERERNRw6l1mnKmaiIiImomSSj2W7MpGQVmV4n7VUWasISIiIiI1GzPzceBcobObYbfp/zuIaf87iEe/2aO436jaZeYe8xBxcVciIqImdvZKGR5etBsAcGb2aCe3xj4rD1wEAKSfvaq4Xxr4mCSFQ2oZIlfDDBEREVETyy4od3YTHKqiyoinftgn/i4tpBZUpmZklxkRERE1K19tz8LO0wXi77JsEdcyIyJHEgQBW45fQn5xpbObQkQkk1skvy7JZq1mDREROdLaI3n453/T4aXV4NQ7tzu7OUREIsuCaqMdNUTsMiOietl8/BIA+YWGiNyfWgbFlV0orJD9brK4LknfkvooMwZERFQPbnjNJCI7uOM9zqDZG2S/W96oyTJEKs/hWuEQAyIiN+KGV00iUqSRhAOqa4C5GFsJHcsuM3lRtXvUEDEgInITbnLNJKI6ag7d4JbvQfqr2pIeLhYPMSAichcMiIiap+bw2bYOiGp/UyyqJqJ6UZvcjIjcm9qSF+7EMgCyp8uMARER1UszuGYSkQK3qSGysc9WUbXq+3OteIgBEZG7cI9LJhHVleWQdVdlOUxeOl2A0aJOSBoDuUk8xICImk5JpR5FFXpnN4OIyKW4STxkxVYWSL5P+fGu1mXGmaqpSRhNAnq+thYAkPnWbfDz9nJyi9yPm2TVicgO0ppAdxllZhm+GEwCzJdyW0XV7rJ0BzNE1CR0BqP477winRNb4r5YVE3UfMhWg3fTux2DjQyRLCBSebyrZYgYEFGTc5cCQpfD00bUbEivg+46ysxoVM9yVRkFLN2dg7NXytxmYkZ2mVGTkH5W3PXD72w8a0TNhyDUXmPj6vSSGRctA6LF27Nw6lIZACDUXznU4Fpm5JFkd0Pu+ul3MndNqxORNemoLPcZZSb/3WBU7zIzB0MA1zIjkjHZMycF2SQ9aztOXcY//7sHuUWVTmsPEdWfPRMXuhqNRQhjkGSIDDaCOtVh9y4WEbHLjJqErMvMTe6GXI30ovK3z9MAAJV6E75+ZICTWkRE9SW9SXTENVFnMGLD0XwkXxeJ8EDfBj+fPWQZIhvvQbWGyOEtahhmiKhJsMus4ZTO2rmr5U3eDiJqONnipw64JH705wk8/t1ejP8ireFPpsayy0wa1NnIcqntcrVRZswQUZOQ3j3ojQyI6uLslTJcLlWeqoBnksg9ObrL7NeMCwCAwxeKG/xcqiyaaZAVVas/TH2UGQMi8kDSOyC9rU8OWbnxvU0AgO6xoc5tCBE5jKMDIi9tTXAhCALeXZ2JTlHB+Gu/tg1+bjNpAATY32XGGiIiCWk61cAMUb0cvahw58dTSeSW6lJGIAhCrdkUb0lAlJZVgAWbTwGAwwIik0mw6tqzu8tM5ULlYvEQa4ioaci6zEzMENWH0jWT8RCRe5Imym0liPJLKjFo9gZ8uDbT5vNpJQFRQVlVQ5tnRem6bZRss11Urbzd1WqIGBBRk5B+4PUGBkSOwrmJiNyTvRmi+ZtO4WJRJeZuOGnz+aQZosaglNmX1oPaGnbvLjNVu3RANGvWLPTv3x8hISGIiorCmDFjkJkpj5IrKysxefJkREZGIjg4GGPHjkVeXp7smOzsbIwePRqBgYGIiorCCy+8AIPB0JRvxePJusw4ysxheCaJ3JNgZw2RvSUG0mxLY8QZSu2QBnIGG7Wh7jLKzKUDos2bN2Py5MnYuXMn1q1bB71ejxEjRqCsrGYGzGeeeQa//fYbli1bhs2bN+PChQu45557xP1GoxGjR49GVVUVduzYga+//hqLFy/GzJkznfGWPJb0A8+iasdhgojIPclmqq5H/Y0lr0bOECl1mUmv5VX1qQ11rXjItYuqV69eLft98eLFiIqKQnp6OoYNG4aioiJ8+eWX+P7773HLLbcAABYtWoRu3bph586dGDhwINauXYsjR47gzz//RHR0NPr06YM333wT//rXv/Daa6/B19d6AiudTgedrmaYc3FxIw5j9BCCLCDit7i9ausSs/diSUSuRT7KTP04e296tI0dECncyEozRDqDsc7PyQxRAxQVFQEAIiIiAADp6enQ6/VISUkRj+natSvatWuH1NRUAEBqaip69uyJ6Oho8ZiRI0eiuLgYhw8fVnydWbNmISwsTPyJi4trrLfkMaSfJVupVZJj7yJR82RvDZG9lwBpDZH0MY5aJ81WDVFRhR4llXUvQ3GtcMiNAiKTyYSpU6di8ODB6NGjBwAgNzcXvr6+CA8Plx0bHR2N3Nxc8RhpMGTeb96nZPr06SgqKhJ/cnJyHPxuPI87dpkVllehqFzvsOc7mV+K/2w+hYoq+++kah+O29BWEZEz2Lu+o72fcS+VbIujajbN1+0Qf28kxUdce+7qbVmXy1QfZ4uLJYhcu8tMavLkyTh06BC2bdvW6K/l5+cHPz+/Rn8dT2JywS4zk0nAt2lncUO7FujRJky2r8pgQp831gEATr49Ct5eDb93SPlwMwCgoLwK00d1s6+NtXWZucapJKI6ki3dYfMese41RNI4w1ELx5Zfu5EL8PGCt1f1K5gXl866XFqv52SXWT1MmTIFK1euxMaNG9G2bc0kUzExMaiqqkJhYaHs+Ly8PMTExIjHWI46M/9uPoYan/QDbznbqbP8duACZv5yGH/5xDrIls7jUaare9+4Lelnrtp9LEfkETVP9s5UbXeGSKXLzFHXkCvXrokRQb7w1laHDm/9fhTnrpYj61LzyBC5dEAkCAKmTJmC5cuXY8OGDYiPj5ft79evH3x8fLB+/XpxW2ZmJrKzs5GcnAwASE5OxsGDB5Gfny8es27dOoSGhiIhIaFp3gi5ZIboWG6J6r7GLFa29yJQqTdiwle7bB7DeYiI3JOshkgQYDCaxC76ogq9WGtpb4ZHGhDJZpB2VEB0bT3FlsF+snqltYfzkFesvNZibTQuVkXk0l1mkydPxvfff49ffvkFISEhYs1PWFgYAgICEBYWhokTJ+LZZ59FREQEQkND8eSTTyI5ORkDBw4EAIwYMQIJCQl44IEHMGfOHOTm5uKVV17B5MmT2S3WhIwuWENka1CGbO21emS0iiv1WLn/IgbEt0CnqJB6tA5Yln4O6WdtZ5MYDhG5J/lM1QLu/U8q9mUXYsmkgRi3cCcGdIjA0seS7X4+aUCk09dktR0VEBVIMkSVkufXG031GmEGuF6GyKUDovnz5wMAbrrpJtn2RYsW4aGHHgIA/Pvf/4ZWq8XYsWOh0+kwcuRIfPbZZ+KxXl5eWLlyJR5//HEkJycjKCgIEyZMwBtvvNFUb4NgOezeNQIitSJEQD4Srj5rr6V8sBn5JTokd4zED5MG1qt9ZbraR20wQUTknuSjzIB92YUAgEe/2QMA2HWmAEAdht1LrmeVktUAHBUQXS6tDogig31xStJFpjeaUKmv3zXdxeIh1w6I7OkO8Pf3x7x58zBv3jzVY9q3b48//vjDkU2jOpJ+Jl1lcVdb83ZIg7b61Dzll1SnkA+cK7TaZ+8Fzp6LBechInJPaqPMLK+P9sczNQdWVNXcTDkuQ1R9TYsM8sXBc0Xi9hKdod4ZIn8fL4e0zVFcuoaImg/ph9LeGqKSSj1+3X/BrkxJfdjKEFUZ1C9QdeHjXf+PmD3pZGaIiNyTfJSZfRl0W3MKSeuGpANBHDWI5YqYIfJDqeSafKW0qs4Zohl/SUDXmBA8ndLZIW1zFJfOEFHzUZ95iKYuycD6Y/m4q08sPh7X1+FtkmaITCZB9ntDMkS1ZTbt7Td3tYJDInIcy6JqM8tRYfJrkQBflcy29KazQlLj46hBvZclNUTlkrnUfko/V+fnmjgkHhOHxNd+YBNjhoiahDRGsDfAWH+semTgLxkXGqNJsj73KosgTdrGuo6Kc9QwV7syRA55JSJqatKASC3DsnRPDn7dX3P9M5hMEARBsRtMmskul3SZOSpDZM7Uh/h7N1rW3tmYIaImUZ8us8YmvdHS6U2y/mxpl1ld++CbcnZpdpkRuSdpQCQNYKRe/OmA7He9UcCEr1JRUmnAyieHyCaMlV53pBmchk7MuOX4Jaw/mofSa0tz+Pt4oUylve6OARE1iYYs3RHQSIV30stEdVGgj/i7tI11bW/TjqJjRETkjqSXCXsnfy3VGbD72sSuZwvKcV2rYHGfNBMkXR6oIRlrk0nAgxZzofl7e9V7VJmrY5cZNQlZl1kdM0T+Po3zZ6qXDE3VGeQfcMt++7pw1KgOe6a1Z4aIyD0JdmSILF2VzKBvSXrdKZMGRA3IyGcojJL199GiS3Sw9cHNAAMiahLSD6tlvU5tGmtopl7SJsthow3LEEmG0yoER3YXVbOGiKjZkmbNS+2syblaXhMQWS4SLb1xyy+uVHydutqrMDGsv48XFj6QiHv6tqn387oqBkTUJOTzbMgDjMulOry58ghO5isvpdFYXWbSQMcyBVxlrH8NkTR17ahskRou3UHknqSXwXI7u8yuXlvaA5CPJAPkmaDTkokTG9JlZhl0AdUBUYeWQfjwvj71fl5XxYCImoTJxrDS55bux5fbsnDXp9sVH+vXSAGRNDAzd5kJgoB//ncPnvphn+Q4AWU6A07m27eis/TCVFZlxHtrjmFvds2dllIMc6lEh1mrjuLM5ZoLmX0TMxKRO5JeE+0tUi6UZIjKrTJENdczaRbe1txFtalUmHCxsUoYXEHzfWfkUmzNVL372hT1ZQp3I0Aj1hBJ2mFe+6dCb8Saw3my4x5evBsPL9qNlA8345eM87U+r2XAN2/jKdzz2Q6bj3l2aQb+s/k0/rogVdymYQ0RUbMlH2VmX4aoQFJDVG7RzaaWjZZej4rK9ci+Um53GyuqrMsF/Lxda3ZpR2JARE1Cvm6P/INrWdAMyLM3/o30AdQrZIjURk+Y1xV6eklGrc9rrMe8HztPXwFQ3X1oZt9M1YyIiNyRLENkZw1RoaTLzDpDpHwtkF5vk2b9iWHvbcSFwgq7Xs8yQ+TjpZEtItvcMCCiJiH9UBZX6jFv40mculRqtc9Mmi0K8G2KgKgmQ9Tw5637TNVK1zJ7Yh2GQ0TuSfqZtzdDJC2qLpdcq6oMJpy7qhzkSK+v5hs+aRe+LZUW18PGujl1FQyIqElIv9yP5ZbgvTWZGP7BZtXjpXdM9gw/rw9p1505Q6RURGhpzLztstS1redVohToSO8W31tzrPp5Grkgm2jz8Uv43966L71ADSet7bE3QyS97lwtq8J/Np/CqUuleGjRLtXHmAMiaXDj42XfV7/OImPeWPWcroIBETWJug79lF4gGjrTqpLUU1fwv3019UDmD749AVFGTiHeWnlEdX99psqXvsV5G08BsLMYkjETNcCEr3bh2aX77R4wQI5Tv6Lqmi6zD9cdx6xVx3Drh5ux49QV1ceYA6LiiprH2nuLaZkxt6znTIqPsPOZ3AMDImoSdR1+XuagmVbV3P/5Ttnvde0y23Lisuo+R7XXnudhPET1JQ247a0pIcep37B768x0bZeJy6U6LNqehSzJCFZ7r3NWXWYWGaLPxt+AoEYqaXAGBkTUJOqa5NFJPoj2FClX6o34Lu0szl21fwSF7PXMXWZ2Xiikxc/7cwpx339Ssf3kZRhNQoNmhpWyJzPGomqqL+lgBkctAEr2k352S+zsMiuSZIjsNe1/B/H6b0fwgGQJDntrlqwDInnIEBnshym3dK5zm1wVAyJqEsY6fnFL59GwJ7s0f9MpvLz8EP7yybY6tw2Q1hDVfdHCexekIi2rAOO/SMP9C3c65MvFYDTZ9b4ZDlF9Sb/sKvUmLNuTU6ch2dQw9SkFsDdwUlIlCYDtrVmqsKghUqrnfDC5Pfp3aIGXb+9W77a5Ci7uSk3Cng+/j1fNh0364bUnMNh8/BIAeR97XUjnIbL7MQYj/Ly9ZMHbrjMFdc4QSSdjrHluk31dZoyIqJ6kf+tfbD2NvdmFAIAzs0c7qUWexUGJ5HqxXExWbzTBJAhWcwzpLK6HV0qtu+yC/Lyx7LFBAIC3/zjq4JY2LWaIqEnYU1Yj/TDK0/nVD75aVoUV+85bpXEBeTBVHzUZIvuzO2orVNd1rbab3t9k/RwGk11F1QJzRFRP0oDIHAyRYyldq8waY7CIvaSLyQqCgBH/3oLBszfKbkQB6/bnStZIa44YEHmQLccvOW00iT1f7n7eNX+O0g+mySRAEAQ8vHg3pv6YgTcVRng1dLKwutYQAeppZ6W7qPq0x55uRmaIqL5sfVk7w9YTl3AiT3k9Q3f0yfoT6DpjNXZlFSjub8iSGrbYU+QsHdVWqTch63IZLpfqkF0gz1ZbXg8be21GZ2NA5CEOXyjCg1/tQsqH6nP/WNp24jKeXrIPV23MuWMvtbsh6UXBVyUgMpgEPPjVLmTkFAIAlu7JsXoetXk1zl4pw5Tv9+LQ+SKb7avUGyEIQp1qiNRWqH5p+UGbj5OeC71KNklnMLKGiBqVvQGRIAh4+/cj+HJbVqO15VhuMR74chdu/feWRnuNpvbBuuMAgJm/HFLcb2+GaNqormjbIkC27W9J7VSPD/CtvRJGOqqtRKdcZqA3mlRn7ldzW/eYOh3vahgQeYgjF4rr/Ji/f5mGXzIu4B0H9AurfbdLZ1uVZoh0BukoMwFbJcPclWaC9pZkiKSBxFM/7MPKAxdx56fbVI8HgCW7c/DmyqMOyRDVRtr8/BKd4jEVevsCIkZEVF/2dg+fulSGz7dm4c2VR2RL6jhSfa5P7qJCb8TGY/lWn2d7ky3Xx4SgY6tg2bbWof6qxwf51S1DVFpZ82/z38Te7Kvo8eoa8Xq44O83ICbUH5/+ra/N5517f1/8OmUwnr21S61tcEUMiDyEPQuFqsmxGMouCAJmrTqKpbutMzVq1NLDRZLJwry9pAGRdQ2RLdIuM+kH/MS1LkLLp5Bmo8y+2p6FnAL752NRyxDVRnoucouUX++2j7bKhvarESDgZH4pJ9Yjm5SmZ7A3+Jd+kV+uQ3dwmc6AaT8fwDYbc3YpvUZzc/ZKOR5evBvfpJ6Rbbe3y6xVsJ/VDVx0mHpAFGDHbNLSYffS65g5UHp/TabsGjy4U0vsfGk4/tIr1ubz+npr0attOCKDfWttgytiQES1svzc7s2+iv9sPo0Xfz5Qh+dQ/vBLu+Okx8gCIjvuSqskaRdZkKVSW6TWxfbr/gu1vpZZmc6IF3/ab/fxZgZZQKQe9PySUXtb9EYBKR9uxu1zt6p2v5Fn23gsH71eX4tVBy+K26oMJrz262HF4y2DJ2n39UWVAF7JJxtOYsnuHPz9y7Raj5UGRLaCo/IqA15ZcRA7TtYeZLmalQcuyn63t8usU1SwVY1kaxsBUaA9NUQ6tQyREUUVeuy/Vp5gZjkhY20igxgQkQtryAR+lo8trjCo7lOjdo2Trs0jvWOSXoTtmUSsXPIBL67Uw2gSkHb6iurrNnRUGlA9OePSPXVfB0o60WSeg0ZtVBlMdk+2Rp7l4cW7UVJpwOPf7RW3fbrxJM6rzE6tsxxpJOm+Xn803+ZrZeaW4JUVB5FXXImsy/Kspa1rhXQAga3apk83nMS3O7Pxty9qD7JcjeUVx95h9/4+XlbXqxgbXWb2LIYtvVYUSwKiY7klGDNvu2ylAMD+tc/MIoL86nS8q+A8RB5IEIQ6daFJgwqjSRCLm4Hqi6c9dw+qGSLJVPTSzIl06LpdAZH0A16hx7yNJ/HhtaJGJY5YXmNbPe9Spa+tNBV/fTVWfQc1P79knFfdV15llH2mpQHKpxtP4o7esbg+JgRXSnXILa5E99gwcf8dn2xDlbF65XVvbc2X6Nc7zuCzTSfx3T+S0CkqxOo1pXN3VeqNCPJT/mo67iaj0JSytZaXXHtuJlte63ry0soDkqgQ5YBocKdI+NoRvMhqiCQ3k++uPmZ17Asjr6/1+SxFBPnU+TGugBkiD1TXYED6wV2w+RQ+Xn9C/N3ewmK1/nJphkiaKpeusqy08OFcSRsA+bwaxZV6fLXd9ogYy/k2LP38eDIGXRdp85itJy5Zbbs1IdrmYwD5+5R27zWUUrE5kZJzV9W7vixriyxHGu0/VwgAuPXfWzB67jZZQbT5RuboxWJZJvTVXw8jr1iHmb8od9NJX7PSxmfTMnvlqkoqra9ZGoscka0us05Rwbizd6w44aE0yPHx0iAs0MeqcDnYzxvfTkxSrI+0JB1lVlqpfg2a+ZcEPHHTdbU+nyV3zRAxIPIQ0oxQXWdSlsYyX2w9LdtnbzeN2pw6Vy0CIkEQsGDzKaw+VNPfrvRQy+yPNMVbVKFXrEN454+jyCmoLhA3X1jn/LWXYru6RIfUWuipNCTVnr7zs1fK8d6aY6ioMtZ7Zm0lrCGi2phndLc1b5fl1BOWXVjmL2fzzcyGY3kAgPVH88RjAny8FLuE1LrDpDdW0mNeWn4Qd366TRx1qqvjMHBHmbfxJG75YBMuqYwKtVSsdKNjccptXV96tQnD3Pv7Ir5lEADgvv5x4j7zjc+Tt3SSPUZvNEGj0VjNNq1ELUNk6f/6x9VrQE54ADNE5MKkWR59HdfaEgQBRRV6fLg2E1ctvsDtDYhUa4jK5QHR3uyrmL3qGC4U1a22RlZDVGFQDKIWbjmNSf9Nl60TFhFoHcC0bRGAEH+feo18aWFnMeG8jaewcMtpFNYhQ1Tb3JMMiKg2E77aBUEQbGZILT/TlkHM1B8zsO5ITfBToTeisLwKE7/eI24L8PVWzAqr3YtJZ303v57JJOD7tGwcOFeEtNPVkxvq6vg3nn2lvF4Lolp6b00mTl8qs3supmKFrIvlx9fW5cUyyzMgPsJqm2WgYr7JsydDVKk34d/rjmPPmQLF9dF6tgnDU8M7I1il67I2Wq0Gv00ZgqX/TK7X452FNUQeQvrZq2uGSAAwe9VR/LDLepi9UneW2aUSHSZ8tQt/7ddWtb/8alnNhcNgEurUhaQ3muDjpYUgCLL5jIor9arp6KMXi2Vp91CFO5nrrs35UdcFaQHA3467M7NjucV2v1+tBjjyxm0YO38HDqvM2cIuM7LHqUvWa+dJVUgColOXShXXp3r0m5rgZ97GU5i38ZRsf6Cvl+INhdp1oNxi5mQAuFxWk40xF/Varq1lS05BOYa9txHtIwOx+YWb7X6cLfYOIpEOPDGzXBjVMmDUamqCJD+FoKZNeACyFNY9tGRPQAQAH68/gY/Xn8B4i0kev3gwESl2dP3XpmfbsNoPcjHMEHkI6YevrpkEo0nAPpW1jspV1vMCgM+3nsaRi8V4Y+UR1WyLtEDbZBIQ4GN/jG5O2VfojbKMULFKl5mZ9O44xN/69WLDq2eFrU8xob0XI6D6old0LUPW8VpqXI2A6tEmSqtNmzFDRPawnK0+wiKrab65KK8yYPgHm+vVrasWEBlNAlbsO4+1h3Nl26XdNuag52JhTZa40mDEmsO5OJZrf1H1H9emGTh7pbyWI22TBkF+dg4/L6ywHixhros+fKEI8zedslrzUPr/EKiQmWkTHmC1TYlSMGXLkYvyG6wOLQPr9PjmhAGRh9A3ICAyCepzWyhliIor9fjr/B1YuKWm3kgtPpEO/TWYhDq1zdyfb9mNV1ShniECgNmrakZSKL2v2GtzfAy6riUWPdzf7vYAdQ2IvMQus/880M/msea3Y6vbjAERWaotozGkU0vMH3+DbNvi7WdQqTfalY1Q4+etVcywXimtwtQfMzDpv+nYn1OIv3yyFeuP5sm66czD/KVzHpXpDPjnf9Nlz6U2qlJvNCGvuFJ2bbE1lP9yqQ5j5m3Hkl3ZivulBd/+PvZ9vnMVuvzNRdWj527Du6uP4cA5+XJC0oCot0J25cXbqm/Q7h8QZ7VPqi7XIABWN7ttWzReQDS0c92vqU2JXWYeQi+b6LDuo8zUhsFeKKyAzmCUFfL9N/Us9py9KjvOaEfdktEk2DWKxFurgcEkiAHRZYtCx+JKg83++R8la6EpFSC2ltyJ1XWCsbpcjHQGo9hlFmZnEaKtAkdpl9l3aWfxS8YFfP5AIsIC3bPAkexnMgmY+mMGwgN98MZdPcTtttai8vfR4tt/JFkFC5uPX8KU7/fir/1sf/HaUmUUFDNE0prBu+ZtBwBM/HoPBsRHiNvPF1bii62nZd3JSqNZKw0mBHtpUVBWJX5+Csqq8Nyy/dhy/BJaBteMdCos1yMmTPmm7oO1x5GRU4iMnEKMG2C9Rpg0Q2Y5UkyNYkBUy0Ol0xT07xBhtb9X23BkzLwVof62P8+2ssj2qOskjHXx34lJjfbcjsCAyEMYJAGJoc5F1UCQyoKBr/92BK//dgQ3Xd8Ks+/phZgwf8V+/it2LBBrFAS7ZsJtHe6PnIIKXLq2tIXlEhfFtWSIpJTSy61Cai6kahOSaTTKo9/UZsZWcu5qhfgcSrVMSuzNEL28vHpByS+3Z7ntukKu7EqpDpHBzhlavP3kZZTpDBghWUjzyMVicZb1l27vJn6pKRX3mplvBvy8tfD30cqCpz+P5jeoJq1Sb1T8DKoVc0triGassF4MtVRnRMtgX9nSIZV6I3ZnFeDhxbvx8OAO2JtdiAPnCsXPlPS6UFhRhRiV2Z2lI8cul+oQEegLreSDJg2I7F0QN1dhwlWTIOCKjeV4BsRH4ER+CeIiAlX/tsIVBoFYigqx/Xfp662tddoRT8UuMw8hvbjV9UJnEoRaZz/dlHkJY+fvAAD4Kxxrz3BVo0lQnadEyjxLq3nI/pVrF0lzdqa4Um8VrKjdNPkppMBbSDIqagGRI6amN2fRwgN97L4rs/Vfp9RlVpciVLJmHmEptXR3Dvq99Sc+3XBC5VGNx2QSMP6LNEz6b7rs5uGcZL1BaSCgOPz7GvPnRaPRIP2VW7HyySF4/c7uSOkWBaBmiL5ZXUYc6fTGOl1npIMrlJTpDIi2mJ25Um/Ew4t3AwAWbT+D/TmFijcpAHDv/FTVYEZay5P41p947Tf5NahQktWSztpti1KGaPvJK+j31p+qj2kd5o/U6cPxx1ND7XoNNWP7tcUro7vhKYth+WZKI2sBYHxSO/z57LAGvba7Y0DkIQxG2zVEJTbuJAWVx1gy99krjbSyd/4Oe5jvksqqjMgvrhTXVDMXJh/Pky8ZoNEA6a/cij5x4VbPJZ3wLC4iACMSotFDMvOuWoFiSxvZgejQumUOerW1bpflVP0h176MbAU45i+g+hSBehJBEPBLxnmcsGPW4+eXHUDv19fKiv/Nf2/vr1WfCd2RpKO+pDV75yWTK0pHjl2RZFHO2FlQHOTnjR5twjBhUAdxlKX1MbX/LX17rUukUm+qUzCutoyIWZnOYDVhZJmNAR2WSnQGrLEo5DbTW2RLvkk9K/tdOjVGpcI0I2U6gzhoxZyRU8oQ1abKYELLYL8Gd1mF+vvgH0M7orfC9Q6wLqI3m5rSRXEW8YZyxDJJTYUBkYeQBjSWd25fbstCz9fWyiZDlI5KMwmCzVoEy9dR6tbJd2RAdK17qVxnwOsrj4jb1S7kgT5eiAjytRrJ9dQtneAtCYjeubsnFj6YKEuXS+84patI92ijPKRUA+Dnxwfh+RFdsHfGrdj0/E34x5B4m++nXYR89Mhzt3bBI4Plj/lm4gAAtmfYNv8fSwtU7S0C9SSbMi/h6SUZuPXfW2o99ue91WvVfbbxpLitgSUadbJkVzYSXl2NlQequ8OkMyBLBxNIgztphsjWUhdqBddqXUu11aY8e2sX8e+t0mB06Np6pTqDLDAEYLVWWm3U2m852guoPjdlOgNyCsrxhGQNOMugLK+4Ev3f/hNjPtuOj/48jl7XrqP2rlEo7WJXakddfHJ/X9nvrVS6zlqoLKthbx1jXdmaBNTV8GrpIaSTMVqOznjzWlAh/eBLjxcE+/vOr5ZVKRZGF9hRQ2Sv8GtdWqU6AzYeq1lsUu2DF3Ct/ql1uL/s2GcsamsSWodaPdbft+YjIh2RNsLGPB1tWwRiyi2dERHkiw4tg2QFo0ruuaEtgOph/t1jQzFhcAdZrcCCv/dD33YtANheusAcEDlyfbTmyLz0RF1IC4QbWrRaF7NXH4MgAFO+3wdAHhBJv3Slw9HzS3Ti5zXTxjB1tYEHaiupW77riCBfPH5tWYfnR3TBU8M7i9mNSr3RKnhoiO/SsnHRohvqZH7dAiKlIu9KvVHxJuNfPx9AnzfW4u7Pdsi2V1guY5JTiPIqIw6cK8JHf1Z3oT727V67uwsNJkG8URspqQmz1+x7eqJLdDC2vngz7ugdK9unlsVWqkMK9vOu8+g0e/lo3SfMcJ+WUoNIu8zU1jKTbpYeLwiC3QHRFZWAqK7u7B2LzS/cpLjP/IG+XKqT3YXeP6AdVj45xOp4cyATE1aTiQnw8RJHbO2bcSu2/etmxULGqBB/zL6nJ+be31eWObo1IRov394Nn9zfFz1VskVmSiNGusaEYFiXVtjw3I244VqwM/nmTvj9qaEI9fdBaEBNvYY00NPZqGEwX4TlRaAsnqxNqc6AJ3/Yp9qlAsg/M/aEQ6U6A6Z8vxerD1k/p/QLeOfpK7K1wAD5F7c0q5lTUC7r2jYHRJV6oyw4mP6/g+g6YzW+3nFGzBB1jbHuClEbeGBZq2NmOcIxOtQfz93aBX88NRSP31Rdr2LOEJVWWmd0HMV8Q2TZNV6bEp0B5VUGrD6UC73RhJyCctzw5jocPF9kdezSPeegNwpitq1jq+r/B+l1MDO3BJMspgKQClWY40zJr08OwfrnblTNOtsybkA7rH3mRsRFWA+VjwxW7hpTygQ1VnYIALzZZUauxiDrMqv9S1IaEJkE+4sJr5RW2R08mb01pofVtpbBfmin8CEHaj680m641VOHIvm6SHSPDUWQRVG3OSBqLbnQS/vpWwT52px7Y9yAdrjT4u5Lo9Hg0WEdcUfvWPwmCcK0ClmqFkG+mHVPT8SE+qNrTAjm/LUXVk8dhm8eGYCOKt180qG10rS6rbWclDJEdf2/8ASWGZ55G0/it/0XrOa5kaprhuijdcex8sBFPPZtOiZ/t1dc72tf9lX0eG0NHv1mD+auP4FxC3fi9rlbxe6rXzLOo9uM1eKIMWkQcrGoUpYhMhfuHs8rUbzJefXXwzh1qTpo+GJCIrpEy//W1BZcbh2mPAHgdVHyx4cH+MDbS4uE2FAxaDePXCurMja4C0iNuQbGfI7sVVppwBu/HcFj36bjzZVHcPB8kV3dehoN8OjQjgDkn6epP2bYfJy98/kE+3mrdvc3hNqaZkpzHIU34tQcXm6UIeKwew9RZWOUmeVwVkDeZWY0CXbf7V0p09U5Q6Q0OaKfjxYajUY2nb2ZeYi6eWIzX28tusZUd3dpNBrEtwrCofM1d93m4EdaGxHg69gP6YPJ7ZF66gru6BWruP/+Ae1wv8IcJ2qkw/C1sgyRPQFRTRahse7S3Zk0nDGaBJy+VHumQTpVhTQeWrYnB/cmWs/Xk55dMw/X7wcv4kJRBW7qEoVXfz2MKoMJ647kydYDu1quR7CfN55ekgEAeOqHfXh+2X5ZNulSiU7WjotFldiYmY9jF9W7xfRGAUG+XmgTHmD1xaQ2Isuy9mTpP5Ox/lgeEttHYItk5JlSLUpDC4L/98Qg9IgNg9Ek4LNNJ1FcocfXFkXOkUG+OF3L8iNmGk31oIX9OYUo1emxZHf1HGTfpJ5FpJ0rsrdtESCOPN164jIulejQKsSv1home+r37rmhjV1tqK8Qf2+UVBowrEsr8f9uaOdWVsfVNlS/IeoyFYmzuU/oRg0izRBZ1hBJ+5rNCyFajkqzt+ulPhkifx8vqw+NeXSXt8LdRbDFaJcAi4twh0h58bR5JJn0Lqgua46Z2Zra6I27emDdszfWOj2BvaTpdi+NfYWXNV1mNcGtWh3Hz+nnMOuPo3avzdRcVeiNVnUhSqQZImlA9MJPB1CpN2JTZj4OnCvE88v2I6egHBcsRk3tyy7EXfO2q342XvxpP+asPibbZlnbcrlUJ8sQbTt5GQ8v2o13rz3uzt6xinUgXWJCoNForF5bba0+y1q8AfERmD6qm9VoIaVaFKVpLOrihnYt4OutRYCvF54bcT2eHN7Z6phAlTnRlAgCMKxzSwDVGSKpf/9p3yjBTq2CZaM1b36/etX72FqW0ph5R3erbTGh/gj198Ybd3XH0n8m4+0xPe1qQ31tev4m/DZlCPq3byFuiw0PwO09Y2TXXKUuN0dxpy4zZog8hDSlrrdIuUjT8jlXy/He2mz0lgwFr5KsDl+bvOJKqyxGiJ+34orKZv4+2uosiOQ1zOleL60GsPgOsbwgWgZEbVrIL1TmD2QLyQXc1cMAaYbI3lEaYoZIMqeLWkD03LL9AIAbu7TCoE4t69tMt5JbVImLRRWyjGN5lcFqKLXJJCAtq0BWZG+w0WX29JJ9WHO4Jttz/moF8oqtR1UePF+kuHYeUD0RYm12nLqsOi8WAHRtHYJ7bmiDhxbtlm2/Prq6fshytmdbk5fe3jMGfxzMlU1LMbBjJK5rFSQO8VeqS6rPjYYtLYP9sGLyYIy5Nqs1IP+8924bhv3nrGuApMzzJxVW6BUnVB2f1A7fpSkv2wEA3VqHyl6zVGfATe9ttFmE/P69vdEnLhxvjemBU5dKsWj7GQDAx+P6IKljpM32OlJksB8ig/1gFAR8sK4mAPxsfD/kFVci6Z31AIC4Rlyuw50yRAyImrF5G08iJtQfY/u1ldUNWWaIpIW6764+hq0nLuNb1FwgqgwmOyesr74TjrKYh6dNiwCbizL6eVdniKSdduaLjVIwYDlrtmVWJjbMMiCqfi5p15yr19ZIa4hslax8/48k/HfnWaw6lIsTeaXIKSiX1xApdJlJs0L2zCDeXAybsxFVRhNuur6my6CiSj4aShAE/LT3HF786YDsC99oEpBfXIm5G05Y1Z1IgyFA3l1mqaRS/cagNpavY6lNeAC6KYyU7HItILLsPrV1j/P2mJ4I8vXGOMm6Wf4+Xvjz2Rux7kgetp+8rNgFXNucM8+kdMFX27MwNaUzjueVYuZfEpDw6mqb2dc+ceG4NSFa7GJsIZlH59aEaDEgUrvxCr4WhB7PK1V8nZBalsLo0SbM6qarrMqIsmvns0ebUFkXffVzVr/m3we2R3mVQQyI2ltkr5tKn7hw/Px4MtqE1wQ+0uWY1IboOwKH3ZPTHb1YjPfWZIqZAGlA9OzS/Sip1OP0pVK89uthZEsmb8tQWNW+ymBCpUXW54N7eyu+bkZOIYqvXfR7tw27NpTc9ugJfx+t1YfG/KtiQGTRZWY5eaJlKtt8hyLNhLl6QCTNJNhq66BOLcWL2c97z+Ge+TtkQY5ShqjMzrqiUp0BGTmFzaZbzdzduCmzpg6mTGeULRtRoTfih2uLfEqDeL1RwDNLM/DtTvVMgvg6TloWoW2LAESH+uPjcX1k26+/FtiVW/wt2Pp/bRHki/fu7Y1+7eUjJDUaDUZ0j8Hrd/VQzFZJP2Ov3ZEg2/f9o0l4OqUz9s24FQ8Pjsese3oiwNcLva6NrrK1Srv0ZkZa7yIdHdWzbRieuOk6q9c1Z4iOXlvVvXNUMG6TDHGXftbiIgIw4y8JmJDcXtzWXVI0ruSj+/pabZNmFwN9vfHCyOvx4m3Xq87x1BT6tY+QvX6gxcCSxmIrq+lqmCFqpqRZgiqDyWpB198PXMT8zadw1mIm21KF1euVRrDc3DXKaltkkC+ulFWJxXsTBnXAPTe0xRu/HbE6VsrP28vqgmPuolNKt1ouNGuZIRrauSXaRQQiu6Bc9TlcfTi6tDi1thl5pXVWl0p0siHY565W4M5Pt6FX2zC8da1eQbqcg7RId/m+c/jozxP4ckJ/dIoKxgNfpmFfdiEW/P0G3NajtdXrzlp1FH8eycP/nhhc67DdQ+eL0LFVkFV3Z9rpK9h8/BKmpnTBN6ln0CY8AKN6Wr9WQ6kFlUUVetksz6WVBsVRmOYv06YQGeSLO3rH4ujFYqRlFdj9OPPdv2XRrDlDZNntbW83eF2te2YYiir0SOwQgdeuffZTukVh0HXVXbOWIzE//dsNeG9NJiYN66j6nCMSYvBLxgUE+3nLMtBhgb546pZOWLj1NF69o7sY/L0mueZYdlMmXxcpu4aE+HvjldHd8N6aTHx0Xx/0ax8Bg9GEbScvI9DXG+0iAm1OLNsi0AcbnrsR+SU6tAz2xdVyvVVNzuSblZfRcCatVoOBHSNwobASSbXMldYQ7pQhYkDUXEmudWU6g0LdEKyCIcB24bCUUv95XESgLDthrgNS+rKMCfUXp7f399FaBS3mi7XSh8lyVJqvxR2Iv48XNj5/E6576Q8AykV9rp4hkqptwjQfb/n7k355ZxeUI7ugekSeOSCSdttIC02f+bE6m/jOH0fxzt09se9atvCn9HOygOiDtZn4JeOCGHAu25ODfwxV/zL780ge/vHNHvTv0AI/TkqWfSHet3AnAOCzTafEbb9NGYKebcOQfaUc4UE+Vqt7H88rwQdrM7EvuxBTbumEB5M7yPZ/tukkfko/h28eGYAp3+9DQmyo6hfSuxaFzKU6g9XNQ2Pw9dKKGauPx/XB1zvOYO+18z1hUAc8Nbwz5m08KQZE4/rHYeuJy+ISF15ajSyg6RIdLGZOpAFARJAvWqrMR9NI8RA6R9d0NS6ZNBD/3XkWr/4lQfX4uIhAzL3fOssidXvPGHz+YCK6x4bikGTeoPAAHzx7rfhaLRMR7Cf/+xnauZVsaY0Qf2/c3bctJgzqID6Ht5cWa6YOg1ajgUajQXSoP354dCB8vTV48vt9uCCZJDIswAeRwX6qU2i4su//MRAmQZDN2O9ojfncjuY+LaU6kXaVVF/k5Xe9DU1j+nlrsen5m2TbYsPl6WDzsNMwySSDI7tHY1SPGMy6p2Z0hVKGyJyVUpo117KGSIn0+ZRGqqlNTmlb03YdvXN3T/y1X1vcopCNk7IMCNWYa0ikK6Cbuzel23QGIwbOWl/z/BYB2aLtZ8RgCECtc7l8se00AGD3matYKxlqrjYPzuzVR5FTUI7hH27CnZ9sk33xC4KAKd/vxZrDecgv0SkuBjxndSZOXyrD0DkbkZFTiO/TsnFZ5Q5fukYZUP1Zaaz5c8yOvzUKB14bgW3/uhnzx9+AO3vHymo4zPPsTBwSj7v6xOL9e3tj9theeHhwB/GYBwbWdOmsfWYYVj45VAw0fby04mevS3Sw2I11m8VMyJ+Nv6FR3p/UwI6RmPe3GxClMtmjvTQaDW5NiEZseIDsucwjR21dz66PDhGPG9MnFjd2aYVYyXXFHDBZPoe3l1YWvCdfF4l+7SOwY/pwPDSog+w4d6XVahq9/T7MEJEjpJ66gqMXi/Hw4A5Ws8TWplRSXFiqs+4GOHyhYV0A3loNOlisDWY5oZs5QxQoSU9PH9UNHVoGybIY/j5esqHlQM2XZfWsufJRJFqtBlNTOotT5dsaLQO417BPqb8ltcPfkmqfu0gp4FPy9h9HMCIhRtZNVlJpwNkrZXjs25plW3ZnyYuCt564jE/Wn8CkGztCA43sbwuw7nqp1BuxeMcZDOwYifjIIOySdPu8u/oYPtt0EgsfSISgEmBuP3kFy9KrZwo+c6Ucqw/lYnSv6gxVWlaB1QzFz/yYgck3d8JTP+zDP4bWrAEn/bPIumzfvDXZBeWNXgNkDjDbtggUJ++TBkSR1wIifx8vfDyuJnPyt6R2OHCuCCO7x6BX2zAs3nEGQHUxtWXQGuLvg0q9ThxhBgBz7u2FEd2jcWtCNLy1WodNEdHUpDVEltlDJWGBPtj1Ugq8tBrxRkl6rVIb+WfLEzddh5UHLqCfZDg7Kbu5axT2nL0qLlDtyly/hc1cpd6I/6aexe29WqONRTHw/Z9Xdyd0igrGsC7Wk2nlFlXiH9/sxvik9lYjPqRfWqM+3op4i+Dly21ZdW6rdAJHpQDNcqSC+S51ZPcYrDmUizv7xIpBlHTosv+1SRilEmJDrZ7z43F9xOntp6Z0kQREttst7Y57467umPnLYbw7tnHn/2gKW164GYD60HpL3+7Mxp9H8jFtVFdxW0mlHh+vPyELUC0zJCWVBnyw7jg6tgpWXD/qfGEF8oorxSUf/vH1Hmw7eRmdo4IREeQr+/8xByYfrz9us3t27voT4r8nf78Xvt6J6BMXLi5zIR1RtHzfeew8fQUXiyrx7NL9is93NFf9BsDHS4PrWgXjWG4Jpny/z2pUX5foYMVlIj65vy9O5JVg7obqhV9bBvsi2M9bcYX5hNahMAmC1fp5ZtJZ2S2njTAL9PWWdS39/HgyjCbrmjqg+kv+UokOXSQj5UL9fcR189yZdN60FgpzIQFAfMsgWRBsGTBKs9n1yZZHhfpj+7Rb7M7OerJJwzoiJtQfydc13XQD9cWAyMleXn4IP+89h5UHL+KXyYPF7dK7bmn3hNS/1x3HofPFmP6/g9YBkcXwXnvvkG3pFBWM2fd0VF0tWa1bLizAB18+1F/1ef28vWRZi7fv7iF2Ew3r0kqcI+SuPsqzutY2Cko6Q++DyR1wV5829Vq7Z+Yd3fHUD/vwzxvV62UaW/vIQJy9Uo5x/ePQLrL6S7RIUiRdm9ziSlwoqpk08FhuCfJL7FuZe/L3exW3/5R+Dj+ln4OftxaDrovEtpOXAQAnbCy+uSnzktVinbY8+s0eBPh4YWDH6uLPB5Lby+qOanuu/2w+rbqva0yobD0ryz8nvVHAuP5xWL7vvGyOrTt6x6KiyoizBeXo174F7u0XB28vDfbnFOJobglO5pXg69Sz+PzBRNxqYzFgoHomc61GgxaBvrWujWdmOQJMqmeb6hqsgU04501T8fXW4odHB0JnMCJMZcmJhQ/0w6u/HsbUFOUAVPr5V6uxqo3a0hgk5+Olxdh+7hGIMyBysp/3ngNQvWqy2dGLxdh24rLqYyqqjDAKAvIkX2SCIIhZllOXSjFr1TG1h9ebj5cWKTYu7Hf1aYP319ZM/mVrzbT2177M/X208PHSyApZx/VvJ76XEQnRmPPXXoor0ZvVliGynBulvgsZ3tk7FkM6tRSn8XeGpf9MxtrDubILjHTU2MCOEci+Uo6/JsbJsixSc1Zniv9OP1vTPfbjpIFikXN96AwmbJQMaZeynPxOGsAE+nqJdUjmpQbMwgJ8xICvQm8Un98y49kQL4/uhglf7VJdFiXrchnWPTMML4/uhuX7zmPl/ot4cnh1kXaAr7xbCwASO0QgsUMEBEHA0yldxJogW0L8fWwWptfVh//XB6/d0b1Rh1M7U23Zhs7RIfj+0YGq+zUaDZY9loz8Yp3T5gYi18OAyImkhaxSoz7eKvvdvBTD7jMFuFBYgc+3nsaxi/IFHX/cnYO92VexP6cImXnqkyDaY9+MW9H3zXVW22tLD8dFBCL9lRR8vjULJ/NL0bedev+6v48XDrw2Aj7a6u6yMslwf2lBtEajwf8prBUlpVZDNKBDBHadKaj18XVhz5dbY4oO9ccDFqOqpBmiJZOSxX+rBURqerYNw+6XU9D/7T8b1EZLE4fE4+6+bRRnA14zdRiujwnBA1+mYeuJy3j1ju54fllNt9fMvyTgnhva4JeMC7LFNDu2CsLnDybi0W/2iNsignwxpFNL1UU/27YIQEWVURwJeVefWDyT0gUdWgZh4YOJmPDVLtX34O2lRYiXFg8md7Aa1aZGo9E47e/FS6tptsGQo/Tv0HhDzck9sQPUifKKKhEXUVMvUFShR45C99jla+uDPbJoN55ekoFD54utRklN+99BLN1zrsHBEFA9SZe0nun2ntWjUx61MU+IWWSwH6aN6oovJiTWOv9EqL+PWNgZFVL/UShqAdF3jyZh10vDxbqj5mrikOpCYstRRHUV6Otd64y1U27uhJ3Th+NmyWzPDw3qgJVPDhF/bx3mjzfuqlnHaXCnSMXRgi2D/cQV2L+c0B+7XhqOv/ZrK5tYsG2LAGg0Gozp2wb/l1idFQvx90aX6BDcmhCNLx5MFI+9qUsrzL2/L5ZMUs4MbHz+JtzRu3rxXR8vDd77a2+xpu3GLq2w7V83i8dOHBIvzs3yjyHx1k9GRM0OM0RO1Dk6BFtfvAVdXlmFKoMJt3+8VZxnRGrriUvIKSi3uR6YPW7pGoW/9GqtWngq1SLIR2zLx+P64qXbK8URMY3hweT2+N/e83hKYTHH2phUeuZ8vLQNHu7rDm7uGoWtL95c62KTyR0jca6wHDkFFZiQ3B6dooKhM5gwa9Ux3NbDOphqFeKHS9eGq/dqG4a+ceF4fuT1AIAP/q8PftiVjbE3tBVnv+0TF46T+aVY/sRgBPh4iUPiO0eFICLIF/cPiIPOYMK9/eLw5sojmDSso9g16utd8391V582iAn1x7HcEgyQTBj3zt098bek9mgTHiAutyCdILRfhxZiuy0tfrg/fLy0eOKm69AqxA9/7dfWqtC2bYtArH1mGNYdycPEIfHw9/HC2Stljfp3T0SuQyM0l3n5G1FxcTHCwsJQVFSE0FD1Wpb6uvPTbThQywKFltqEByAuIgA7TxegTXiAYiAl9UxKF9zXPw6bj+fjXz8fVDzmxduux9BOrdCzbRj+OHgRT3y3FyndovDFBPWC6LHzdyD97FV0jQnB6qnD6vQeGmrSN3uw9kge/n1fb9zd1z2K9prSou1ZeP23I5g4JB73D2iH+JZBilm784UViAj0FbN1Hab9DgD4v8S2WLqnusbt2Ju3yWbPVlJcqUdllVEMbDZm5qO4Qq9aDO8oJ/JKsPZIHh4d2lEMcn7YlY2wAB/0bBPWqCt5E5Frq8v3NwMiOzR2QJR66gpeXn4Qp6+NBGvbIgDnrlbAx0sDvaTY+ObrW2Fk9xgs3Hoan95/gzg0Haj5Eru7bxss33fe6jXOzB4NAFi6Owcv/nwAQPWw7ZUHL4hFtuZjgOoi7VOXStEuIsjmTMn5xZX4Ni0b9w+Is5qHqLHpjSacvVKG61oF13meJk9gMgk4kV+KTlHBdZo+PzO3BH8cvIhJwzrij4MX4efjhTuvdTUREbkTBkQq5s2bh/feew+5ubno3bs3PvnkEwwYMKDWxzV2QARUD1k/lluCbq1rFhIs1Rkw9rMdyCupxL//r4/i+mFmx3KLsfpQLp64qRN+238Bx/NKkJlXgszcEsz4SwJuv7Y+VJnOgL8uSMWwzi0x/fZuMBhN+GTDSQzu1FLWPUFEROTuGBAp+PHHH/Hggw9iwYIFSEpKwkcffYRly5YhMzMTUVG2l0ZoioCIiIiIHIsBkYKkpCT0798fn376KQDAZDIhLi4OTz75JKZNmyY7VqfTQaerWfuouLgYcXFxDIiIiIjcSF0CIo8Ydl9VVYX09HSkpKSI27RaLVJSUpCammp1/KxZsxAWFib+xMU5bh4bIiIicj0eERBdvnwZRqMR0dHyWZajo6ORm5trdfz06dNRVFQk/uTk5DRVU4mIiMgJOA+RAj8/P/j52Z6gjoiIiJoPj8gQtWzZEl5eXsjLy5Ntz8vLQ0xMw2b3JSIiIvfnEQGRr68v+vXrh/Xr14vbTCYT1q9fj+TkZBuPJCIiIk/gMV1mzz77LCZMmIDExEQMGDAAH330EcrKyvDwww87u2lERETkZB4TEN133324dOkSZs6cidzcXPTp0werV6+2KrQmIiIiz+Mx8xA1BCdmJCIicj+ch4iIiIioDhgQERERkcdjQEREREQejwEREREReTwGREREROTxPGbYfUOYB+IVFxc7uSVERERkL/P3tj0D6hkQ2aGkpAQAuOo9ERGRGyopKUFYWJjNYzgPkR1MJhMuXLiAkJAQaDQahz1vcXEx4uLikJOT49HzG/E8VON54Dkw43ngOTDjeahW3/MgCAJKSkoQGxsLrdZ2lRAzRHbQarVo27Ztoz1/aGioR/+hm/E8VON54Dkw43ngOTDjeahWn/NQW2bIjEXVRERE5PEYEBEREZHHY0DkRH5+fnj11Vfh5+fn7KY4Fc9DNZ4HngMzngeeAzOeh2pNcR5YVE1EREQejxkiIiIi8ngMiIiIiMjjMSAiIiIij8eAiIiIiDweAyInmjdvHjp06AB/f38kJSVh165dzm6Sw2zZsgV33HEHYmNjodFosGLFCtl+QRAwc+ZMtG7dGgEBAUhJScGJEydkxxQUFGD8+PEIDQ1FeHg4Jk6ciNLS0iZ8Fw0za9Ys9O/fHyEhIYiKisKYMWOQmZkpO6ayshKTJ09GZGQkgoODMXbsWOTl5cmOyc7OxujRoxEYGIioqCi88MILMBgMTflWGmT+/Pno1auXOKFacnIyVq1aJe73hHNgafbs2dBoNJg6daq4zRPOw2uvvQaNRiP76dq1q7jfE86B2fnz5/H3v/8dkZGRCAgIQM+ePbFnzx5xvydcIzt06GD196DRaDB58mQATvh7EMgplixZIvj6+gpfffWVcPjwYeHRRx8VwsPDhby8PGc3zSH++OMP4eWXXxb+97//CQCE5cuXy/bPnj1bCAsLE1asWCHs379fuPPOO4X4+HihoqJCPOa2224TevfuLezcuVPYunWr0KlTJ+H+++9v4ndSfyNHjhQWLVokHDp0SMjIyBBuv/12oV27dkJpaal4zGOPPSbExcUJ69evF/bs2SMMHDhQGDRokLjfYDAIPXr0EFJSUoR9+/YJf/zxh9CyZUth+vTpznhL9fLrr78Kv//+u3D8+HEhMzNTeOmllwQfHx/h0KFDgiB4xjmQ2rVrl9ChQwehV69ewtNPPy1u94Tz8Oqrrwrdu3cXLl68KP5cunRJ3O8J50AQBKGgoEBo37698NBDDwlpaWnC6dOnhTVr1ggnT54Uj/GEa2R+fr7sb2HdunUCAGHjxo2CIDT93wMDIicZMGCAMHnyZPF3o9EoxMbGCrNmzXJiqxqHZUBkMpmEmJgY4b333hO3FRYWCn5+fsIPP/wgCIIgHDlyRAAg7N69Wzxm1apVgkajEc6fP99kbXek/Px8AYCwefNmQRCq37OPj4+wbNky8ZijR48KAITU1FRBEKoDS61WK+Tm5orHzJ8/XwgNDRV0Ol3TvgEHatGihfDFF1943DkoKSkROnfuLKxbt0648cYbxYDIU87Dq6++KvTu3Vtxn6ecA0EQhH/961/CkCFDVPd76jXy6aefFq677jrBZDI55e+BXWZOUFVVhfT0dKSkpIjbtFotUlJSkJqa6sSWNY2srCzk5ubK3n9YWBiSkpLE95+amorw8HAkJiaKx6SkpECr1SItLa3J2+wIRUVFAICIiAgAQHp6OvR6vew8dO3aFe3atZOdh549eyI6Olo8ZuTIkSguLsbhw4ebsPWOYTQasWTJEpSVlSE5OdnjzsHkyZMxevRo2fsFPOtv4cSJE4iNjUXHjh0xfvx4ZGdnA/Csc/Drr78iMTER9957L6KiotC3b198/vnn4n5PvEZWVVXh22+/xSOPPAKNRuOUvwcGRE5w+fJlGI1G2X8iAERHRyM3N9dJrWo65vdo6/3n5uYiKipKtt/b2xsRERFueY5MJhOmTp2KwYMHo0ePHgCq36Ovry/Cw8Nlx1qeB6XzZN7nLg4ePIjg4GD4+fnhsccew/Lly5GQkOBR52DJkiXYu3cvZs2aZbXPU85DUlISFi9ejNWrV2P+/PnIysrC0KFDUVJS4jHnAABOnz6N+fPno3PnzlizZg0ef/xxPPXUU/j6668BeOY1csWKFSgsLMRDDz0EwDmfCa52T9QEJk+ejEOHDmHbtm3ObopTXH/99cjIyEBRURF++uknTJgwAZs3b3Z2s5pMTk4Onn76aaxbtw7+/v7Obo7TjBo1Svx3r169kJSUhPbt22Pp0qUICAhwYsualslkQmJiIt555x0AQN++fXHo0CEsWLAAEyZMcHLrnOPLL7/EqFGjEBsb67Q2MEPkBC1btoSXl5dVtXxeXh5iYmKc1KqmY36Ptt5/TEwM8vPzZfsNBgMKCgrc7hxNmTIFK1euxMaNG9G2bVtxe0xMDKqqqlBYWCg73vI8KJ0n8z534evri06dOqFfv36YNWsWevfujY8//thjzkF6ejry8/Nxww03wNvbG97e3ti8eTPmzp0Lb29vREdHe8R5sBQeHo4uXbrg5MmTHvO3AACtW7dGQkKCbFu3bt3E7kNPu0aePXsWf/75J/7xj3+I25zx98CAyAl8fX3Rr18/rF+/XtxmMpmwfv16JCcnO7FlTSM+Ph4xMTGy919cXIy0tDTx/ScnJ6OwsBDp6eniMRs2bIDJZEJSUlKTt7k+BEHAlClTsHz5cmzYsAHx8fGy/f369YOPj4/sPGRmZiI7O1t2Hg4ePCi78K1btw6hoaFWF1R3YjKZoNPpPOYcDB8+HAcPHkRGRob4k5iYiPHjx4v/9oTzYKm0tBSnTp1C69atPeZvAQAGDx5sNQXH8ePH0b59ewCec400W7RoEaKiojB69Ghxm1P+HhpcFk71smTJEsHPz09YvHixcOTIEWHSpElCeHi4rFrenZWUlAj79u0T9u3bJwAQPvzwQ2Hfvn3C2bNnBUGoHlIaHh4u/PLLL8KBAweEu+66S3FIad++fYW0tDRh27ZtQufOnd1qSOnjjz8uhIWFCZs2bZINLS0vLxePeeyxx4R27doJGzZsEPbs2SMkJycLycnJ4n7zsNIRI0YIGRkZwurVq4VWrVq51TDjadOmCZs3bxaysrKEAwcOCNOmTRM0Go2wdu1aQRA84xwokY4yEwTPOA/PPfecsGnTJiErK0vYvn27kJKSIrRs2VLIz88XBMEzzoEgVE+94O3tLbz99tvCiRMnhO+++04IDAwUvv32W/EYT7hGCkL1COt27doJ//rXv6z2NfXfAwMiJ/rkk0+Edu3aCb6+vsKAAQOEnTt3OrtJDrNx40YBgNXPhAkTBEGoHlY6Y8YMITo6WvDz8xOGDx8uZGZmyp7jypUrwv333y8EBwcLoaGhwsMPPyyUlJQ44d3Uj9L7ByAsWrRIPKaiokJ44oknhBYtWgiBgYHC3XffLVy8eFH2PGfOnBFGjRolBAQECC1bthSee+45Qa/XN/G7qb9HHnlEaN++veDr6yu0atVKGD58uBgMCYJnnAMllgGRJ5yH++67T2jdurXg6+srtGnTRrjvvvtkc+94wjkw++2334QePXoIfn5+QteuXYWFCxfK9nvCNVIQBGHNmjUCAKv3JghN//egEQRBqHteiYiIiKj5YA0REREReTwGREREROTxGBARERGRx2NARERERB6PARERERF5PAZERERE5PEYEBEREZHHY0BEREREHo8BERG5tTNnzkCj0SAjI6PRXuOhhx7CmDFjGu35icj5GBARkdM89NBD0Gg0Vj+33Xab3c8RFxeHixcvokePHo3YUsfavXs3YmNjAQAXLlxAQEAAqqqqnNwqIs/m7ewGEJFnu+2227Bo0SLZNj8/P7sf7+XlhZiYGEc3q1GlpqZi8ODBAICtW7ciMTERvr6+Tm4VkWdjhoiInMrPzw8xMTGynxYtWoj7NRoN5s+fj1GjRiEgIAAdO3bETz/9JO637DK7evUqxo8fj1atWiEgIACdO3eWBVwHDx7ELbfcgoCAAERGRmLSpEkoLS0V9xuNRjz77LMIDw9HZGQkXnzxRVgu+WgymTBr1izEx8cjICAAvXv3lrWpNjt27BADom3bton/JiLnYUBERC5vxowZGDt2LPbv34/x48dj3LhxOHr0qOqxR44cwapVq3D06FHMnz8fLVu2BACUlZVh5MiRaNGiBXbv3o1ly5bhzz//xJQpU8THf/DBB1i8eDG++uorbNu2DQUFBVi+fLnsNWbNmoVvvvkGCxYswOHDh/HMM8/g73//OzZv3qz6HrZt24bw8HCEh4fjp59+wssvv4zw8HAsWLAAc+fORXh4OGbPnu2As0VE9SIQETnJhAkTBC8vLyEoKEj28/bbb4vHABAee+wx2eOSkpKExx9/XBAEQcjKyhIACPv27RMEQRDuuOMO4eGHH1Z8vYULFwotWrQQSktLxW2///67oNVqhdzcXEEQBKF169bCnDlzxP16vV5o27atcNdddwmCIAiVlZVCYGCgsGPHDtlzT5w4Ubj//vtV32tFRYWQlZUlrFq1SmjRooVw+vRpYc+ePYKvr69w9OhRISsrS7h69artE0ZEjYY1RETkVDfffDPmz58v2xYRESH7PTk52ep3tVFljz/+OMaOHYu9e/dixIgRGDNmDAYNGgQAOHr0KHr37o2goCDx+MGDB8NkMiEzMxP+/v64ePEikpKSxP3e3t5ITEwUu81OnjyJ8vJy3HrrrbLXraqqQt++fVXfp7+/Pzp06IClS5di1KhRiI+Px44dOzB06FB07dpV9XFE1DQYEBGRUwUFBaFTp04Oe75Ro0bh7Nmz+OOPP7Bu3ToMHz4ckydPxvvvv++Q5zfXG/3+++9o06aNbJ+tYvDg4GAAgE6ng1arxS+//IKqqioIgoDg4GAMHToUq1atckgbiajuWENERC5v586dVr9369ZN9fhWrVphwoQJ+Pbbb/HRRx9h4cKFAIBu3bph//79KCsrE4/dvn07tFotrr/+eoSFhaF169ZIS0sT9xsMBqSnp4u/JyQkwM/PD9nZ2ejUqZPsJy4uTrVNGRkZ2LNnD7y8vLB+/XpkZGQgMjISS5cuRUZGBr744os6nxcichxmiIjIqXQ6HXJzc2XbvL29xUJoAFi2bBkSExMxZMgQfPfdd9i1axe+/PJLxeebOXMm+vXrh+7du0On02HlypVi8DR+/Hi8+uqrmDBhAl577TVcunQJTz75JB544AFER0cDAJ5++mnMnj0bnTt3RteuXfHhhx+isLBQfP6QkBA8//zzeOaZZ2AymTBkyBAUFRVh+/btCA0NxYQJExTb1alTJ+zcuRPR0dEYMmQIsrOzUVJSgjvuuAPe3rwUEzkbP4VE5FSrV69G69atZduuv/56HDt2TPz99ddfx5IlS/DEE0+gdevW+OGHH5CQkKD4fL6+vpg+fTrOnDmDgIAADB06FEuWLAEABAYGYs2aNXj66afRv39/BAYGYuzYsfjwww/Fxz/33HO4ePEiJkyYAK1Wi0ceeQR33303ioqKxGPefPNNtGrVCrNmzcLp06cRHh6OG264AS+99JLN97pp0yYMGzYMALB582YkJyczGCJyERpBsJhgg4jIhWg0GixfvpxLZxBRo2INEREREXk8BkRERETk8dh5TUQujb36RNQUmCEiIiIij8eAiIiIiDweAyIiIiLyeAyIiIiIyOMxICIiIiKPx4CIiIiIPB4DIiIiIvJ4DIiIiIjI4/0/8NkafUd83ugAAAAASUVORK5CYII=", "text/plain": [ - "" + "
" ] }, "metadata": {}, @@ -199,19 +199,33 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 29, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ - "env = gym.make('CartPole-v0')\n", + "env = gym.make('CartPole-v1', render_mode=\"rgb_array\")\n", + "state, _ = env.reset()\n", + "img = plt.imshow(env.render()) # only call this once\n", "\n", - "state = env.reset()\n", "for t in range(1000):\n", " action, _ = policy.act(state)\n", - " env.render()\n", - " state, reward, done, _ = env.step(action)\n", + " img.set_data(env.render()) # just update the data\n", + " display.display(plt.gcf())\n", + " display.clear_output(wait=True)\n", + " state, reward, done, _, _ = env.step(action)\n", " if done:\n", - " break \n", + " break\n", "\n", "env.close()" ] @@ -227,7 +241,7 @@ "metadata": { "anaconda-cloud": {}, "kernelspec": { - "display_name": "Python 3", + "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, @@ -241,7 +255,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.6.4" + "version": "3.10.12" } }, "nbformat": 4,