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OpenAI Gym InvertedPendulum
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Proximal Policy Optimization: InvertedPendulum-v1\n",
"\n",
"By Patrick Coady: [Learning Artificial Intelligence](https://learningai.io/)\n",
"\n",
"## Summary\n",
"\n",
"The same learning algorithm was used to train agents for each of the ten OpenAI Gym MuJoCo continuous control environments. The only difference between evaluations was the number of episodes used for training, otherwise all options were the same. The code is available in the [GitHub repository](https://github.com/pat-coady/trpo/tree/aigym_evaluation). The exact code used to generate the submissions is in the **`aigym_evaluation`** branch.\n",
"\n",
"The README.md file in the GitHub repository provides additional details on the algorithm and usage instructions. Also, the code was written to be understandable and easily modifiable. \n",
"\n",
"Here are the key points:\n",
"\n",
"* Proximal Policy Optimization (similar to TRPO, but uses gradient descent with KL loss terms) \\[1\\] \\[2\\]\n",
"* Value function approximated with 3 hidden-layer NN (tanh activations):\n",
" * hid1 size = obs_dim x 10\n",
" * hid2 size = geometric mean of hid1 and hid3 sizes\n",
" * hid3 size = 5\n",
"* Policy is a multi-variate Gaussian parameterized by a 3 hidden-layer NN (tanh activations):\n",
" * hid1 size = obs_dim x 10\n",
" * hid2 size = geometric mean of hid1 and hid3 sizes\n",
" * hid3 size = action_dim x 10\n",
" * Diagonal covariance matrix variables are separate from the NN\n",
"* Generalized Advantage Estimation (gamma = 0.995, lambda = 0.98) \\[3\\] \\[4\\]\n",
"* ADAM optimizer used for both neural networks\n",
"* Policy is evaluated for 20 episodes, and then updated\n",
"* Value function is trained on current batch + previous batch\n",
"* Policy and Value NNs built with TensorFlow\n",
"\n",
"**Below you will find various training curves for this environment.**\n",
"\n",
"### References\n",
"\n",
"1. [Trust Region Policy Optimization](https://arxiv.org/pdf/1502.05477.pdf) (Schulman et al., 2016)\n",
"2. [Emergence of Locomotion Behaviours in Rich Environments](https://arxiv.org/pdf/1707.02286.pdf) (Heess et al., 2017)\n",
"3. [High-Dimensional Continuous Control Using Generalized Advantage Estimation](https://arxiv.org/pdf/1506.02438.pdf) (Schulman et al., 2016)\n",
"4. [GitHub Repository with several helpful implementation ideas](https://github.com/joschu/modular_rl) (Schulman)"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"# ENTER LIST OF LOG FILENAMES HERE:\n",
"filepaths = ['../src/log-files/InvertedPendulum-v1/Jul-26_21:53:26/log.csv']"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"import numpy as np\n",
"import pandas as pd\n",
"import matplotlib.pyplot as plt\n",
"from plotting import df_plot\n",
"%matplotlib inline\n",
"plt.rcParams[\"figure.figsize\"] = (10,5)\n",
"plt.style.use('ggplot')"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Jul-26_21:53:26: Maximum 100 Episode Average = 999 around Episode 800\n"
]
}
],
"source": [
"dataframes = []\n",
"names = []\n",
"for filepath in filepaths:\n",
" names.append(filepath.split('/')[-2])\n",
" dataframes.append(pd.read_csv(filepath))\n",
"data = list(zip(dataframes, names))\n",
"for df, name in data:\n",
" ma = np.convolve(df['_MeanReward'], np.ones((5,))/5, mode='valid')\n",
" print('{}: Maximum 100 Episode Average = {:.3g} around Episode {}'\n",
" .format(name, np.max(ma), np.argmax(ma)*20))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Training Curves"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
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XYgq/gsKvoL4ekrpjJfWApB5YaSO992PjwbLwtPL3dFLVldTO+jV187OxMn/c4rBmthfg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\nUlATkTbJFO31hrM1KwCwRo3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G7du388orr7Bnzx46derE5MmTGTRoUOt+ESLSpukcNREJ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\nIiIiAer/A9M3WEk9TQO0AAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f2558726dd8>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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mTD366KOaPHmylixZol27dlWbJyEhQaNHj9bPfvazatOLior07rvvauLEiXrqqaf0zjvv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\nX1dmZqaaN2+u0aNHq0OHDsH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"text/plain": [
"<matplotlib.figure.Figure at 0x7f2558726da0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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oqI523589qYBAwN8fOFlkdCkeT/KOQkUxgBFdyiaDNDZu3IixY8firbfewqOP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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f2558426d30>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Mean Reward, D_KL(pi_old || pi_new), and Value Function Explained Variance\n",
"df_plot(data, '_Episode', ['_MeanReward'], ylim=(0,1100))\n",
"df_plot(data, '_Episode', ['KL'], ylim=(0,0.2))\n",
"df_plot(data, '_Episode', ['ExplainedVarOld'], ylim=(0,1.1))"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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isg8KZ0eZyumdrsV+/H+4ix7EfrPJ65JERETkVxTOjkImNg7nlr9A02NwH7yD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\nQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f2558726908>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Policy Entropy\n",
"df_plot(data, '_Episode', ['PolicyEntropy'])"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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v6dKlVY8TEhKQkGDf3qkOJ29xcXHIyclBfn4+QkNDsW7dOsyYMaPO4y/faLdn\nz5745JNPcP78eei6jp07d+LWW2+t9bzaPuTZs2cdDZ9MEBISwnvnwXj/PJu990+OHoIeGsF7byL+\n7Hm2kJAQjB8/vuEDreBw8qZpGqZMmYJ58+ZBRJCamoro6GgsXboUsbGxSE5OxsGDB/HCCy+guLgY\nW7ZswbJly7BgwQIEBwfjxhtvxGOPPQalFG666SYEBQUZ8bmIiMhAlhpvnO9G5A6UXN4V5mGys7PN\nDoHswP89ejbeP89m7/3T//U20CIc2tXjnBAVWYM/e54tKirKsLa4YIGIiBrE3RWI3AeTNyIialhB\nHsDkjcgtMHkjIqJ6iQhrvBG5ESZvRERUv/PnLF+bBpsbBxEBYPJGREQNKcgDwlvX2OKQiMzB5I2I\niOpXwCFTInfC5I2IiOrFlaZE7oXJGxER1a8wFwhnzxuRu2DyRkRE9ZKCPPa8EbkRJm9ERFS/glzW\neCNyI0zeiIioTpYab3lcsEDkRpi8ERFR3c6eAvz9oQKbmh0JEV3E5I2IiOp2scYbEbkPJm9ERFQn\nYY03IrfD5I2IiOrGGm9EbofJGxER1a2Qw6ZE7obJGxER1Ym7KxC5HyZvRERUt4I81ngjcjNM3oiI\nqFai60BRPhAeYXYoRHQZJm9ERFS7U0VAUDCUf4DZkRDRZZi8ERFR7QrzuCE9kRti8kZERLXiYgUi\n98TkjYiIascN6YncEpM3IiKqXWEuh02J3BCTNyIiqpUU5HHYlMgNMXkjIqLacdiUyC0xeSMiohqk\nshI4XQSEtTQ7FCL6FSZvRERUU1E+0KwFlK+f2ZEQ0a8weSMioppY443IbTF5IyKiGljjjch9MXkj\nIqKaCrkhPZG7YvJGREQ1FeQC4UzeiNwRkzciIqqBw6ZE7ovJGxERVSMVFUDWMSAy2uxQiKgWTN6I\niKi6Q3uBVpFQzVqYHQkR1YLJGxERVSO7tkIlXGF2GERUByZvRERUjWRshUpk8kbkrpi8ERFRFTl9\n0rLStFO82aEQUR2YvBERURXJ2AZ07Qnl42N2KERUByZvRET0Cw6ZErk9Jm9ERAQAEL0SsnsbVEJv\ns0MhonoweSMiIoujB4FmoVBhEWZHQkT1YPJGREQALpYI4ZApkdtj8kZERAAulghhfTcit8fkjYiI\nIMVngayjQOfuZodCRA1g8kZERJDdO4DOCVB+/maHQkQNYPJGRERAxhbOdyPyEEzeiIjsIKcKIWUX\nzA7DECJAtecdAAAgAElEQVQC2bWNyRuRh2DyRkRkB/3DNyD/W2Z2GMbIOgL4+0O1ijI7EiKyApM3\nIiJ75PwM+fF7SEW52ZE4jCVCiDwLkzciIhtJRQVQmA+0ioRs22h2OA6TXVuhEpLNDoOIrMTkjYjI\nVvk5QGhLaCNvgKz6n9nROERKzwNHMoH4RLNDISIrMXkjIrLViZ+ByGigZz8g7wQk66jZEdlv706g\nUxeowCZmR0JEVmLyRkRkI8k5DtWmLZSvL9SVv/Ho3jfuqkDkeZi8ERHZKuc40CYaAKCGXA3Z9COk\n5LzJQdlORCA7Wd+NyNMweSMispHkZEFdSt5ahAPdkiAbV5kblD1ys4HKSiCqvdmREJENmLwREdlA\nRC72vLWtek0bdi1k5X8t73kQybCUCFFKmR0KEdmAyRsRkS1OnwR8/aCCm/3yWnwPy9f9GebEZCfW\ndyPyTEzeiIhs8ateNwBQSkENG+VRCxek7AKQuRvo1tPsUIjIRkzeiIhsYFlpGl3jddV/OGT3dsip\nIhOissP+DCA6BqppsNmREJGNmLwREdkiJ6tqpenlVNMgqJTBkB+/NyEo27FECJHn8jWike3bt2PJ\nkiUQEQwfPhxjx46t9n5FRQVeeeUVHDp0CCEhIZg1axZatmyJ/Px8zJo1C23bWoYgOnfujLvvvtuI\nkIiInEJOHIeW0LvW99SwUdAXzoWMugnK15Bfr04ju7ZCmzLL7DCIyA4O/3bRdR3vvPMO5syZg9DQ\nUDz++ONISUmpSsgAYMWKFQgODsaiRYuwfv16fPDBB5g5cyYAoE2bNpg/f76jYRARucZlNd5+TUV3\nBFq2BtI3AVcMdHFg1pOCXKD4LNA+1uxQiMgODg+bZmZmIjIyEhEREfD19cWgQYOQlpZW7Zi0tDQM\nHToUANC/f3/s3Lmz6j1PW1pPRI2XXCgFzp4GwiPqPEYNGwV9pXsvXJCMbVDde0FpnDlD5Ikc/skt\nKipCeHh41fOwsDAUFRXVeYymaQgKCsK5c+cAAPn5+Xj00Ufx7LPPYu/evY6GQ0TkPLlZQKtIKM2n\nzkNU8kAg+xjkxM8uDMw2smsrkJhsdhhEZCdTJmVc6m0LDQ3Fa6+9huDgYBw6dAjPP/88XnrpJQQG\nBtY4JyMjAxkZv9RQGj9+PEJCQlwWMxnH39+f986DNeb7V3aqEOXtYhDUwOcvGXE9ZP0PaHrHNBdF\nZj0/pYD9OxFy/6PQGul99FSN+WfPWyxdurTqcUJCAhISEuxqx+HkLSwsDAUFBVXPi4qKEBYWVu2Y\n8PBwFBYWIiwsDLquo6SkBMHBluXpl7526tQJbdq0QXZ2Njp16lTjOrV9yLNnzzoaPpkgJCSE986D\nNeb7px/OBFq2afDzS7/h0P80ExXXT4QKqPmfUTM1+fkgEBGJYuUDNNL76Kka88+eNwgJCcH48eMN\nacvhYdO4uDjk5OQgPz8fFRUVWLduHfr06VPtmOTkZKxevRoAsGHDBiQmJgIAzpw5A13XAQC5ubnI\nyclB69atHQ2JiMg56lmscDkVHgF0ToD8tMr5MdmofEcad1Ug8nAO97xpmoYpU6Zg3rx5EBGkpqYi\nOjoaS5cuRWxsLJKTk5GamorFixdj+vTpCAkJwYwZMwAAe/bswdKlS+Hr6wulFO655x4EBQU5/KGI\niJxBco5Di7zRqmO14aOgL3sXcuXVbrV3aMWOTVATWJKJyJMp8eDlntnZ2WaHQHZg179na6z3T/RK\n6NMmQHvxA6uGQkXXoT91P7Q7Z0DFdXNBhA2TU0WQZx6AWvA+lE/diy7IPTXWnz1vERUVZVhbXCdO\nRGSNwnwguLnVc9iUpkENHwVxo7IhsnsbfBOTmbgReTgmb0RE1rByvtvl1IARkF2bIWdOOSkoG+3a\nCt+eKWZHQUQOYvJGRGQFOXEcKtLG5C0oGOqKgZC1/+ekqKwnlZWQPdvh17Ov2aEQkYOYvBERWSPn\nONCmbcPH/Yoadi1k9bcQvdIJQdkgYyvQKgpaPbtDEJFnYPJGRGQFyTkOZeOwKQCoDrFAizAgPa3h\ng51I1q+AGpBqagxEZAwmb0RE1sjJsnnO2yVq2LXQV31jcEDWk+JzkN3boFKuNC0GIjIOkzciogbI\nuTNARTnQPNSu81WfQcCxQ5C8EwZHZh1JWwPVvTdUULAp1yciYzF5IyJqyMVeN3uL7So/f6gBqZA1\n3xocmHVk/QqoQSNMuTYRGY/JGxFRAyzz3WxfrHA5NfRqyPoVkPIyg6KyjuQcB4ryge69XXpdInIe\nJm9ERA2xo8bbr6lWUUC7TpAt6wwKyjqyfgVUv6EszEvkRZi8ERE1QHKy7Fpp+mvasFEQFy5cEL0S\nsnEVV5kSeRkmb0REDTlxHLCxQG+tklKAogLI8cOOt2WNvelASHOo6BjXXI+IXILJG3kN2b8LUlFh\ndhjkZaS83DJnLKKNw20pHx+oK3/jst43Wb8CaiB73Yi8DZM38gpyqhD6gtmQFV+bHQp5m/wTQHgr\nKF8/Q5pTV14FSVsLKT1vSHt1kZLzkPTNUH2HOPU6ROR6TN7IK8i6H4BuPSHffAo5VWh2OORN7NwW\nqy6qRTjQNQmycZVhbdZGtqwD4hOhQpo79TpE5HpM3sjjia5Dfvwe2rjboYZcA1n2rtkhkReRE/Zt\ni1WfSwsXRMTQdi8n63+ANpC13Yi8EZM38nx7dgBBIVAd4qCuvRmSuQeyN93sqMhb5GQZs1jhcl2T\ngIoK4OAeY9u9SPJzLHH3SHZK+0RkLiZv5PH0Nd9BXfkbAIAKCIQ2YQr0j97g4gUyhL0b0tdHKQU1\n9BqnLVyQDSugUq40bJ4eEbkXJm/k0eTMSWDvDqh+Q395sfcAIKwlFy94EMnPgb7iP2aHUYOIGD7n\n7RI1MBWyczPk7GlD2xVdh2xYyVWmRF6MyRt5NFm3Aqr3AKgmTateU0pBu+X3XLzgQWRvOuS/S506\nB8wup4sAP3+ooBDDm1ZBIVC9+kPWLTe24QO7gYBAoH2sse0Skdtg8kYey7JQ4TuoIVfXeE+1juLi\nBU+SkwWcOQXkZpkdSXVGFeetgxo2CrLmO4iuG9ambPgBakAqlFKGtUlE7oXJG3mufTstPQwdu9T6\nNhcveA7JzQKCQiD7d5kdSjXOmO9WTUxnoEkQsHubIc3JhVLIto3VpxEQkddh8kYeS378HurK39TZ\nw8DFCx4kN8uy/+Y+90recMLxDenro5SCGjYKukELF2TbBqBTV6gWYYa0R0TuickbeSQ5exqyaytU\n/2H1H8jFC25PKiuBgjyowSMtW5y50bw3yTkO5cRhUwCWHRAy90AK8x1uy7IdFmu7EXk7Jm/kkWTD\nCqhefaGaBtd7nFIK2sR7uXjBnRXkAs1Dgaj2luf5J8yN53I5WU7teQMsPcSq/zDImu8cakeK8oFj\nh6B69TUoMiJyV0zeyOOIiGXItJaFCrVRbdpy8YI7y80C2rS1DCF2SYS4ydCplJ4His8AYRFOv5Ya\neg1k3f9BKsrtbkM2rIRKHgTl529gZETkjpi8kec5kAEoDYjtZvUpXLzgviQnC6r1xTpq8YnA/gxz\nA7okNxto1RZKc/6vSRXZDmgTDdn2k13niwhruxE1IkzeyOPImu+ghtS9UKE2XLzgxnKzq4rgqi6J\nbjPvTU44f77b5dTQUZDVdi5cOLTP8rVTvHEBEZHbYvJGHkWKz0LSN0P1H277yXYuXpCzZyDl9g9n\nUf0kNwuqdZTlSeu2QEW5ZR6c2Zy0s0JdVO9+QM5xyImfbT5X1q+AGjCctd2IGgkmb+RRZMNKqB59\noIKb2XyuNYsX5EIpZH8G9O+/gP7G31D52N3QH/od5H/LHA2d6pKbBbS29HBVzXtzg6FTyXFumZBf\nU75+UIOugqz+1qbzpLwMsmUd1AA7/kNDRB6JyRt5DBG5OGRq3UKF2ly+eEEqKyE/H4a+5jvo772C\nymenQ//jbdA/fRcoyAOSUqDNfAbag89Btts3F4nqJ6XngfPngNDwX17skgi4Q7HenCznFuithRpy\nNWTjKsiFUqvPke2bgPadoFywsIKI3IOv2QEQWe3gXkDXgS4JDjWjrr0Z+tMPQGbcAoS2hOrYGejY\nBdqVVwPRMVB+ftWOl1aRwKlCSGEeVHgrh65Nv5J7AmgVVW1RgOqSCP37L0wMChC9Esg7YRnGdSEV\nHgHEdYOs/C9wxUAgMBDwDwT8A+pcOCEbVnChAlEjw+SNPIas+a7eHRWspQICoc1ZaHncNKjh4zUf\nqB7JkPQ0qOHXOXRtqk5yjgOX5rtdEtUOuFAKKco3rzepIA9o1gIqIMDll9ZG3QT9g9csw6cXSi1/\nyssAP3/LdnC//nM0E+r3j7g8TiIyD5M38ghy/hxk+0/Qbr7TkPasSdqqHd+zH/Q13wFM3oyVmw3V\nuvrQpFIK6JwA2b/LvoUpRnDxYoXLqdiu8Hl6UbXXRNeBsgu/JHNlpUDpxa/Nw6ECAk2JlYjMweSN\nPIL8tBoqoTdUSHNzAkjoBSxZCCk5D9WkqTkxeKPcLCDhihovqy6Jln1OTUrenL4hvY2UpgGBTSx/\niKjR44IFcntGLFRwlApsCsR2BXZvMy0GbyS52VC19HCpeEvPm2lcsC0WEZG9mLyR+ztywDJUFN/D\n1DBUz76WlX1kCBG5WCakluHJqA5A8TnT9qN1dYFeIiJbMHkjlxNdt+34SwsVXLBNUX1UUl/Irs2Q\nykpT4/Aap08Cfv5QQcE13lKaBnTubt4+py6u8UZEZAsmb+RScmA3Tv/uGlTOfxT6F+9Ddm+rt6aV\nlJyHbFkPNXCEC6OsnQqPAEJbWkqWkONys2quNL2MMmmfUzl7BqisBJq1cPm1iYiswQUL5FKy/gcE\njrsVZdEdIfsyoH/9L+DnQ0DbDlBdEi0T1eO6VS0KkE1rgG5JUM1DTY7cQvXsC0nfBOVgrTm6tC1W\n3Ss6VZdE6Ku/c2FEF11cacqtpojIXTF5I5eRsguQrRvg/8I/UO4XCNW9d9XrOLQPsn8X9G8/A45m\nAm2ioeITITu3QBt/l8mR/0L17Av9nReBm4wpWdKo5dQx3+2S6BjgzEnI6ZMuTd7dbaUpEdGvMXkj\n10lPAzrEQguLAM6erXpZ+QcAXZOguiYBsOzViMP7LXW+4roB3XuZFXFN7WOBkhJITlatqyTJepKb\nDa1z3T2YSvMB4rpD9mdApQx2XWA5xwEuViAiN8Y5b+Qy+sZVUP2HNXic8vOH6pII7fqJ0H73gOUf\ncTehNA2qZwoknatOHZZT/5w34GK9NxeXDJET7HkjIvfG5I1cQs6eAfbvguo9wOxQHKaS+kJ2pJkd\nhkeTigqgKB+IiKz3ONUl0fX13rjSlIjcHJM3cgnZvBYqMdk7difolgQcOwg5d8bsSDxXQQ4QGg7l\n51f/ce07AScLLMm/C0h5GXCyEIho45LrERHZg8kbuYT8tApqgEn7VBrs0hw92bXF7FA8V252/YsV\nLlI+PkBsN+CAi3rf8k4ALVtB+XI6MBG5LyZv5HSSl235R7GbGy08cJBKSgE4dGo3ycmCamC+2yWq\nS6LrivVyyJSIPACTN3I62bgaKuVKr+rNUD1TLAWGK8rNDsUz5WYBVq7WVV1ct88pFysQkSdg8kZO\nJSKWIdP+3jFkeolqFmoZ9jNhBwBv0FCB3mo6xAEFuZDisw0f6yj2vBGRB2DyRs51aB+gNCAmzuxI\nDKd69oXsYMkQu1g55w2Apce2UzxwwPmJshw/AhXVzunXISJyBJM3cipLr9tQr9xq6FLyJiJmh+JR\npOQ8UFoCtAiz+hzLvDfnJm9SVACcKrIUYiYicmNM3shppKICkrYWqt8ws0NxjrYdLF+zjpobh6fJ\nzQJaRUJp1v/6UfHOr/cm6ZugeiRbVrgSEbkxJm/kPBlbLRt8e2nNLKUUh07tYFlpauPWYjGdgdxs\nyPlzzgkKgOzYBNWzr9PaJyIyCpM3chrZuMp7e90uYvJmh9xsq1eaXqJ8/YCOnYEDe5wSkpSet7Sd\ncIVT2iciMpL31G4wkVwoBc6csvw5expy9nTVY5w5ZXnu5w9t4j1QrerfDshbyPliSMZWaLf9wexQ\nnKtLApCbBTl9Eqp5qNnReIbcLCCpj82nXdoqS/VMMT6mjO1AbFfv2AGEiLwekzc76RtXQr76yJKk\niQDNWgAhzYFmLaBCmgPNmgPhrYCOXaCFNIccPwz9r49A3fJ7aCmDzQ7f6WTreiA+CSooxOxQnEr5\n+kF17w1JT4O68jdmh+MRJDcLWuuxNp+n4hOhL3vXCREBsuMnqF4cMiUiz8DkzQ6yeS3k039C+8Nj\nlknrAYENrqZU3XtBuiRCf/N56HvToSZMsWyz5KVk4ypow68zOwzX6NkXsnktwOStQSJysUyIdbsr\nVNOxC3DiZ0jpeahA43rIRK+E7NwMbcythrVJRORMnPNmI0lPg/7RG9BmPA0V2xUqsInVZTBUTGdo\nT70MlBRD//NDkBM/OzdYk0hRPnD8iF1DY55I9UgG9u2ElF0wOxT3d6rI8p+dpkE2n6r8/C0FezMN\nnvd2cB/QoiVUeCtj2yUichImbzaQPTugL1kE7YHZUO062tWGatIU6p6HoEaMhv63x6Gv+8Hr6oTJ\nT2ugrhhg+ce2EVBBIZbaYHvSzQ7F/eUct6/X7SJn7HPKIVMi8jRM3qwkmXugv/k8tN8/CtUp3qG2\nlFLQrvwNtIeeg3z3OeQfL1lWu3kBEYFsXAnVf5jZobiU6pkCSeeq04ZIbrZDe4c6Y59TlgghIk9j\nSPK2fft2zJw5EzNmzMCXX35Z4/2Kigq8/PLLmD59Op588kkUFBRUvffFF19g+vTpmDVrFnbs2GFE\nOIaTowehv/ZnaFNmQcUnGtauatsB2pMLAB9f6PMehBw7ZFjbpjl+BLhQCsR1NzsSl1I9+0F2pEF0\n3exQ3FtulkM9b+jUFcg6alnhbQDJOW7Z7YG7KhCRB3E4edN1He+88w6efPJJLFiwAOvWrUNWVla1\nY1asWIHg4GAsWrQI1113HT744AMAwPHjx7Fhwwa89NJLePzxx/H222+73RCiZB2DvuhZaLfdD5WY\nbHj7KiAQ2h3ToUZPhP7SHOgr/+t23wNbWGq7DbWper43UK2jgCZNgaMHzQ7FrUlutu0Fei+jAgKA\ndp2Ag8bMe5MdaVBJfRvd31ci8mwO/8bKzMxEZGQkIiIi4Ovri0GDBiEtLa3aMWlpaRg6dCgAoH//\n/ti1yzLssXnzZgwcOBA+Pj5o1aoVIiMjkZmZ6WhIhpHcbOgvz4G6+S6oKwY49Vpav6HQHvsbZO3/\nQf/7XyCnipx6PWcQvRKyaXWjGzK9hEOnVsg5bvWG9HUxcp9TzncjIk/kcPJWVFSE8PDwqudhYWEo\nKiqq8xhN09C0aVOcO3cORUVFaNmyZb3nmkUK86C/NAdq9C3QXJSMqNZR0B57HqpNW+jPToP+3ReQ\ninKXXNsQe3cCzcOgItuZHYkpVM9+kO1M3uoiFeXAyUIgorVD7aj4BMj+nY7Hc+4M8PNhoGuSw20R\nEbmSKWMF7j4sKKeKoL/4FNTI0dCGXO3Says/P2i/nQzt0b9B9u6A/uwMyO5tLo3BXrJxFVT/oWaH\nYZ7YeOBUIaQw3+xI3FN+DhDW0rLVlSPiugP5OZCfDzvUjOzcAnTt2WhWRROR93C4SG9YWFi1BQhF\nRUUICwurdkx4eDgKCwsRFhYGXddRUlKC4ODgGudeOqY2GRkZyMj4Zahk/PjxCAkxvnq/fuY0zi18\nBoHDr0XguNsMb99qIV0hT76Aii3rUfLeq9Bi4tDk9vuhuekm73KhFGfSNyFk8lRoDdwXf39/p9w7\nd1B8RX/47tuBgKvHmR2K09h7/8r3FeFC2w4Idvjeh6D0homo/PZTBP1xrt2tFGdshW//IQjw0r+L\ndfHmnz9vx3vn+ZYuXVr1OCEhAQkJCXa143DyFhcXh5ycHOTn5yM0NBTr1q3DjBkzqh2TnJyM1atX\no3PnztiwYQMSEy0rNvv06YNFixbh+uuvR1FREXJychAXF1frdWr7kGfPnm0wPv2bTyGZe6ACmwCB\nTYHAJkCTJpavAU0sexlees/PH/p7r0D1SEbZiBtQbkX7ThefBDyzGBXffY4zj98LlToa6upxbrc7\ng/7TakjHLij28QMa+L6FhIRYde88kd6lB8q3rEPZwJFmh+I09t4//XAmEN7akHsv/VKh//sTnNmd\nblfNRSkvh56+GZXjp6DMS/8u1sWbf/68He+dZwsJCcH48eMNacvh5E3TNEyZMgXz5s2DiCA1NRXR\n0dFYunQpYmNjkZycjNTUVCxevBjTp09HSEhIVXIXHR2NAQMGYNasWfD19cXdd99t9W4F1lJJKVBR\n7SEl5y0lAUovfi3IA0rPQy8tufh6CVByHqpnCtS43xkehyOUnz/U9RMhA1KhL/0H5OkHoE2YAvTs\n5zZxyk+rofoNMzsM06mOnSGf/dPsMNxTbjYQ09mQplRAANTVv4X+9cfwuf8J2xvYtxOIagfVrIUh\n8RARuZISd5+AVo/s7GyzQzCF7N4O/ZO3gLCW0Cbe41DRU0PiOXMS+lP3Q/vbu1ABgQ0e783/exQR\n6DNvhTb3VajmoWaH4xT23r/K+Y9BGzMJyqAFAlJ2AfoTv4c2fQ5U+042nat/+DoQFgFt1I2GxOJJ\nvPnnz9vx3nm2qCgHalz+CosbeSDVvRe0OQuhuveGPv8x6N99blpxWDm4F/qiP1lqu1mRuHk7pRQQ\nEwcccZ+SN24jNwto41iZkMsp/wCoa8ZB//oTm84TEcuuCiwRQkQeismbh1K+vtB+Mxba7Bch23+C\nvuhZyJmTLru+nDkJfclC6K//FWrkDVC3/N5l13Z3KqYz5MgBs8NwK3L+HFBWBjSvfUGSvdSQa4DD\n+yHHbCiO/PMhwNcXMLnHmojIXkzePJwKbwXtoT9DdewCfe4sSIZzy4pIZSX05f+G/vQ0IKgZtLmv\nQes/zG3m3rkDJm+1yM0GWkcZP6fVPwDqmt/a1PsmO9Kg3Gi+KBGRrZi8eQHl4wNtzK3Q7nkQ+j8X\nQ//0XacU95V9O6H/aSYkPQ3aI3+BdvOdltW6VF2HOODIAbevZ+hKkpNl2ULMCdSQqy3fbyt73zhk\nSkSejsmbF1HxPaA99TIkJwv6/McgeScMaVeKCqC/+Tz0f7wMbfQt0GbNbbS7KFglNBzw8QEK88yO\nxH0YPN/tcpbetxuh//vjBo+VogKgIBeI7eaUWIiIXIHJm5dRIc2gTX0Sqv9w6H99BPpPq+1uS8rL\noX/zKfQ/zQBaR0Gb+xpU8kAONzXAsmihM8Ch01/kZDm8p2l91JCrgaOZkKP1975JehpU4hVQvg5X\nSSIiMg1/g3khpRTUiOshnbtDf+t56BnboCb93lKouB6i65a9J3OPQ05kQVb8B4iMhvb4C1CtIl0U\nvXdQMXGQIweg+gw2OxS3ILnZ0JzU8wZcrIV4zU2Wum8PzK47jh2boAaOcFocRESuwOTNi6n2naDN\nfgny8ZvQ5/0R2r0PQbWPhRSfBXKyILlZQG625WtOFpB/AmgaDLRuC9U6ylJDrkey2R/DI6mYztC/\n/dzsMNyC6DqQlw20cs6ct0vUkN9Avv0McjQTqkPNnVqktATI3A11z0NOjYOIyNmYvHk5FRAIdcd0\n6JvWQH/5GUB0oKLiYoLWFmjTFuqKgZbHrSOhArkAwRAdOluG8XQdSmvksxNOFQJNgpy+uEX5+UON\nssx985n2VM0Ddm8HOnaBahrk1DiIiJyNyVsjofUdAuneC9ArgZAWnLfmZCqkGRDczFIiI7KR1xPL\nyQKctNL019SVv4F885llyPpXW3HJjk1QPfu5JA4iImdq5F0CjYsKbgbVLJSJm4uw3puF5GZDOXG+\n2+WUnz/UtTfVWHkqeqVlsULPFJfEQUTkTEzeiJyFK04tcl3X8wYAavBVwPEjkMOXfe8P7QNahEG1\nbO2yOIiInIXJG5GTsOfNQnKzoFq7bujYMvfNsvK0Kobtm6B6sjAvEXkHJm9EztKhk6UHqKLC7EjM\n5cI5b5f80vu2HwDnuxGRd2HyRuQkKrApEN4KyD5qdiimkfJy4FQR4OLhSuXnVzX3TXKzgZLzQIdY\nl8ZAROQsTN6InOhSsd5GK+8EEN7KlB0N1KCrgOyjkC8/gErqw5ItROQ1+NuMyJliOgNHMh1uRsrL\noa/6xoCAXMzFixUup/z8oEbdDNm8lkOmRORVmLwROZGK6Vx91aO9MrZCPvw7pDDf8bZcSHKzXFYm\npDZq0EjLvqfdkkyLgYjIaEzeiJypXUcgLwtSdsGhZmTreiAgELJri0GBuYiJPW+ApfdNu30qlH+A\naTEQERmNyRuREyk/f6BNO+Dnw3a3IRXlkB1pUKMnQnZuNjA655Mc15YJISJqDJi8ETmZw/Xe9qYD\nkdFQA0cC+3dZVnB6itxsU3veiIi8EZM3ImeLiXNopwXZugHqioGW/VIj2wEHMgwMznmk+CxQUQ40\nDzU7FCIir8LkjcjJVEf7e96kshKybSPUFQMsbSUmQ3Z6yLy3nCygdVvupUtEZDAmb0TOFtkeOFkI\nOV9s+7n7d1nqpF0scqt6JHvMogXLtljmrTQlIvJWTN6InEz5+ADRMcBR2+u9ydYNUMkDf3mhfSxQ\nfBaSn2NcgM6SuccyZExERIZi8kbkApZFC7Ylb6LrkG2W+W5V7WgaVOIVkF1bDY7QWKLrkPTNUD1T\nzA6FiMjrMHkjcgV7Vpwe3AsEN4P69WrNHn3cv2TIz4eAJk2gWnGlKRGR0Zi8EbmAiuls84pT2bIO\nKnlQzba69wYOZEDKywyKzniyIw0qib1uRETOwOSNyBVaRQIl5yFnTll1uIjUGDK9RAUFW+bQ7dtl\ncJDGkXQmb0REzsLkjcgFlKZZJu9bu2jhyAHAPxCIald7e4nuu+pUThUC+TlAbDezQyEi8kpM3ohc\nRNrhL6IAABMbSURBVMXEWb1JvWxZZynMW0eNNNUj2W3nvcnOLVAJvaF8fc0OhYjIKzF5I3IRa7fJ\nEpGLJUIG1H1Qu07AhQuQ3GzjAjSIpKcBHDIlInIaJm9ErnJx0YKI1H/cpU3s23Wq8xCl1MWSIe41\ndCrlZcC+nVCJV5gdChGR12LyRuQqoS0tX4sK6j1MtqyHumJAg9tKGTV0qn/3OaQg1+F2AAD7dgJt\nY6CCmxnTHhER1cDkjchFlFJVvW/1ka3ra11lWkO3XkDmXsiFC3bHJMcOQT5dAvnha7vbqNYeS4QQ\nETkdkzciF2po3ptkHwPKSoGOXRpuq2kQ0CEW2Jdudzz6vz+CGjEasnEVpMz+JBC4OFePJUKIiJyO\nyRuRC6mODSRvW9ZD9W54yLSqvcRkyE775r3J4QPA0YNQN04GYuIgW9bb1U6VrKOAptVZ3oSIiIzB\n5I3IlWI6A0cPQnS91retHjK96NK8twYXQdRC//dHUNfeDOXnD23INZA139rcxuUu9bpZm3gSEZF9\nmLwRuZAKaQ40DQLyTtR4T3KzgbOngbiu1jfYtgNQWQnkZNkUhxzcC2Qfgxp8leWFpBSgIBeSddSm\ndqq1ySFTIiKXYPJG5GoxcbUOncrW9VC9+0NpPlY3pZSy9L7ZWDJE/+pDqOvGQ/n5Wdrx8YEafBVk\ntX29b3L2NJB9DOiSaNf5RERkPSZvRC5W1yb1lhIh1g+ZVrXXo49NJUNk/y4gPwdq4Ijq7Qz+DWTT\nGrtWr8rOLUDXpKpkkIiInIfJG5GL1bbiVArzgMI8+3quuiUBh/ZDSksaPFRELL1u10+ssX2VCo8A\nOsVDNv9oewzpaVA9+9p+HhER2YzJG5GrdYgDjh+BVFZWvSRb1kP16gflY/2Q6SUqsCnQsTOw14qS\nIXvTgVMnofoPq/Vtbeg1Ng+dSkU5ZM92qB7JNp1HRET2YfJG5GKqSVMgNNwyR+wiW1eZ1mizR8Ml\nQ6p63UZPrDtJTEwGThVBLm3RZY0Du4HWbaGahdoQMRER2YvJG5EJLh86lZOFwInjluFPe9tLTIbs\naqBkSMZW4HwxVN8r627n0sIFG8qGWFaZ9rElXCIicgCTNyIzXLZoQbb9f3v3HxR1ve9x/PldSDgu\nBCxooeXwI7XkVwpWJ1P8cc/tZt2To2W/xhmrKUvMYqpJa5rGaSq9aWqZWo1hk3NP2S2ZYzPdalKk\nFE8iYqShkWJRGcgSsSzKj/3cP/a6RVigIOsXXo8ZRr7f/exnP7uf+eB7Pz+L/PujhXZjsn/8xWA5\n4IfvTvmwv9ftv7H+87ZOV7Na1/wN8/mnXZ5DZ/Z+ri1CRER6kYI3kSBo1/NWUoSV+dfu5WdZWKlj\nMF/+warTL3ZBSzNWZudDs5YrDoaPwuzqwsKFn76Hlha4OOk0SywiImdKwZtIMFycCEerMLU18O0h\nGDW621n6twzpOO/t5Fw3x99vx3J0rcl3deGCTlUQEel9Ct5EgsAaEAYXDMW8/xZW6hj/dXddmg6V\nFZgmb/v7e4rAsmD0VV3PK2U0NNRjjnzzp8nMF8UaMhUR6WUK3kSCxEoYjtn+CdaY7g2ZBvILC4fk\nkfBVaeCe8fnw/fMfOP5+x2n1jlmOEKzx//6nCxdMoweOVPiDRhER6TUK3kSCJWE4nBfq356jh/iP\nyioJXJvd22FAGJzBalDrmn/DFH+GOe495eNmXwkMT8EK64FeQxER6TIFbyJBYqVmYk2bhRX+lx7M\n039UljEG42vD/PMf/rluZzAnzYqOhZFpmH8VnjqBDqIXEQkKBW8iQWK54nD87caezfSCIXDeAP8J\nDp8XgjPCP3/tDDkm/Aem8H877B9n2towX5YoeBMRCQIFbyJ9iH/LkEzM3s8xm9/CcePpzXXrYNTl\n4G2Eyor29w8dAFecf1sRERHpVQreRPoYKy0L88H/QHRstxcTWA4H1oRrOyxc0Ma8IiLBo+BNpK8Z\nmQoOB44bz2yu2+9Z46ZgSnZgvI2Be0bz3UREgkbBm0gfYw0Iw/FfeVgjUnsmv/NjsC67HPOvbQC0\n/fQDeH7xr5YVEZFep+BNpA+y/jKwZ/PL/nXhQuuenVjpWV0+rUFERHqW/vqKSOdGpkHzCTh0gJaS\nIg2ZiogEkYI3EenUyYULvo/yaT24z78KVUREgkLBm4h0iXX1FPjic0KHp2CF9+ywrIiIdF1od57s\n8XhYsWIFNTU1DB48mNzcXAYO7PhHvaCggE2bNgEwffp0srOzAVi0aBF1dXUMGDAAy7J44oknOP/8\n87tTJBE5S6zIKKy/Tua8lMtpDnZhRET6sW4Fb/n5+aSlpXHjjTeSn5/Ppk2buOOOO9ql8Xg8vPvu\nuyxZsgRjDAsWLGDs2LGBIO/BBx8kMTGxO8UQkV5izcoh7PzzaW5oCHZRRET6rW4NmxYXFwd60SZO\nnMiuXbs6pNm7dy/p6ekMHDgQp9NJeno6paWlgcd/f+yOiJy7emLfOBER6Z5u9bzV19cTHR0NQHR0\nNPX19R3SuN1uYmNjA9culwu32x24XrNmDQ6HgyuuuIIZM2Z0pzgiIiIifV6nwdvTTz/dLigzxmBZ\nFrfeemuHtKf7rXz+/PnExMRw/Phxli1bRmFhIRMmTDitPERERET6k06DtyeffPIPH4uOjubnn38O\n/BsVFdUhjcvlYt++fYHr2tpaUlP9O7/HxMQAEB4ezrhx46ioqPjD4G3fvn3t8pk5cyZDhgzprPhy\njoqMjAx2EaQbVH/2pvqzL9WdvW3cuDHwe0pKCikpKWeUT7fmvGVmZlJQUAD4V5RmZWV1SJORkUFZ\nWRlerxePx0NZWRkZGRn4fD4a/n/Sc2trKyUlJQwbNuwPXyslJYWZM2cGfn77AYi9qO7sTfVnb6o/\n+1Ld2dvGjRvbxTFnGrhBN+e8TZs2jeXLl7N161YGDRpEbm4uAIcOHeLjjz9mzpw5REREMGPGDBYs\nWIBlWdx00004nU5OnDjBM888Q1tbGz6fj7S0NKZMmdKd4oiIiIj0ed0K3iIiIk45rJqUlMScOXMC\n1xMnTmTixInt0oSFhbF48eLuvLyIiIhIv2PbExa6090owaW6szfVn72p/uxLdWdvPVl/ltFGayIi\nIiK2YdueNxEREZH+SMGbiIiIiI10a8FCMJSWlrJ+/XqMMUyaNIlp06YFu0jyO7W1taxatYr6+nos\ny2LKlClMnToVj8fDihUrqKmpYfDgweTm5gbOuH399dcpLS0lLCyMnJwcEhISgvsm+jmfz8fChQtx\nuVw89thjVFdXs3LlSjweD4mJiTzwwAOEhITQ2trKqlWrOHToEJGRkeTm5hIXFxfs4vdrXq+XtWvX\n8t1332FZFvfffz/x8fFqezbw/vvvs3XrVizLYtiwYcydOxe32622d45as2YNJSUlREVFsXTpUoAz\n+n+uoKCATZs2ATB9+vTAsaN/ythIW1ubmTdvnqmurjYtLS3mkUceMVVVVcEulvxOXV2dOXz4sDHG\nmKamJjN//nxTVVVl3nzzTZOfn2+MMWbTpk1mw4YNxhhjSkpKzLPPPmuMMebgwYPm8ccfD0q55Veb\nN282K1euNIsXLzbGGPPCCy+YHTt2GGOMefXVV81HH31kjDHmww8/NK+99poxxpjt27eb5cuXB6fA\nErBq1SqzZcsWY4wxra2tprGxUW3PBmpra01OTo5paWkxxvjb3NatW9X2zmFfffWVOXz4sHn44YcD\n9063rTU0NJh58+aZxsZG4/F4Ar93xlbDphUVFcTHxzNo0CBCQ0MZN24cu3btCnax5Heio6MD3yjC\nw8MZOnQotbW1FBcXB75RTJw4keLiYgB27doVuD98+HC8Xi8///xzUMou/p7TPXv2tNt38csvv+TK\nK68EIDs7O9Duflt3V111FWVlZb1fYAnwer2Ul5czadIkAEJCQhg4cKDank34fD6OHz9OW1sbzc3N\ngROK1PbOTZdeeilOp7PdvdNta3v37iU9PZ2BAwfidDpJT0+ntLS009e21bDpqQ65r6ioCGKJpDPV\n1dUcOXKEESNGUF9fT3R0NPDr0Wpw6np1u92BtNK73njjDWbNmoXX6wWgoaGBiIgIHA7/d73Y2Fjc\nbjfQvu4cDgdOpxOPx0NERERwCt/PVVdXExkZyerVqzly5AhJSUnMnj1bbc8GXC4XN9xwA3PnziUs\nLIz09HQSExNxOp1qezZyum3tj+53xlY9b2Ivx48f54UXXmD27NmEh4d3eNyyrCCUSv7MyfkbCQkJ\nmN/sImS6uKNQV9PJ2eHz+Th8+DDXXnstS5YsISwsjPz8/A7p1PbOPY2NjRQXF7N69WpeeeUVTpw4\n0aUemJPU9s5NZ6ut2arnzeVycezYscC12+3G5XIFsUTyR9ra2li2bBkTJkxg7NixwK/fQk7+GxUV\nBfjrtba2NvDc2tpa1WuQlJeXU1xczJ49e2hubqapqYm8vDy8Xi8+nw+Hw9Gufk7Wncvlwufz0dTU\npG/+QeRyuYiNjSU5ORnwD6fl5+er7dlAWVkZgwcPDrSfK664ggMHDtDY2Ki2ZyOn29ZODo3/9n5q\namqnr2OrnrdLLrmEo0ePUlNTQ2trK9u3bycrKyvYxZJTWLNmDRdddBFTp04N3MvMzKSgoADwr645\nWXdZWVls27YNgIMHD+J0OjVsEyS33347a9asYdWqVTz00EOkpqYyf/58UlJS2LlzJwDbtm07Zd0V\nFRV16Y+OnD3R0dHExsbyww8/AP6A4KKLLlLbs4G4uDi+/vprmpubMcYE6k5t79xmjGnX63m6bS0j\nI4OysjK8Xi8ej4eysjIyMjI6fV3bnbBQWlpKXl4exhgmT56srULOQeXl5Tz11FMMGzYMy7KwLIvb\nbruNSy65hOXLl3Ps2DEGDRpEbm5uYLLnunXrKC0tJTw8nPvvv5+kpKQgvwvZv38/mzdvDmwVsmLF\nChobG0lISOCBBx4gNDSUlpYWXnrpJSorK4mMjOTBBx9k8ODBwS56v1ZZWckrr7xCa2srF1xwAXPn\nzsXn86nt2cA777zDjh07CAkJISEhgfvuuw+32622d45auXIl+/fvp6GhgaioKGbOnMnYsWNPu60V\nFBTw3nvvYVlWl7cKsV3wJiIiItKf2WrYVERERKS/U/AmIiIiYiMK3kRERERsRMGbiIiIiI0oeBMR\nERGxEQVvIiIiIjai4E1E+o3nnnuOwsLCHs3znXfe4aWXXurRPEVE/oytjscSEQHIycmhvr6ekJAQ\njDFYlkV2djZ33XXXnz5v4cKFZ6U8OitURHqTgjcRsaUFCxboSCAR6ZcUvIlIn1FQUMAnn3xCYmIi\nhYWFxMTEcPfddweCvEWLFjF+/HgmT57M0aNHWbt2LZWVlYSGhpKamspDDz0EwIEDB1i/fj1Hjx4l\nPj6e2bNnM2LECACqq6tZvXo1hw8fZsSIEcTHx7crw8GDB3nzzTepqqpi0KBBzJ49m1GjRvXuByEi\nfZrmvIlIn1JRUcGFF17I66+/zs0338zSpUtpbGzskO7tt98mIyOD9evXs3btWq677joAPB4Pixcv\n5vrrr2fdunVcf/31PPfcc3g8HgBefPFFkpOTWbduHdOnTw8cNg3gdrtZsmQJM2bMIC8vj1mzZrFs\n2TIaGhp6582LSL+g4E1EbOn555/nzjvvDPxs2bIFgKioKKZOnYrD4eDqq69myJAhlJSUdHh+SEgI\nNTU1uN1uQkNDGTlyJAAlJSUMGTKEa665BofDwbhx4xg6dCi7d+/m2LFjfPPNN9xyyy2EhoZy2WWX\nkZmZGcjz008/ZfTo0Vx++eUApKWlkZSUxJ49e3rhExGR/kLDpiJiS48++miHOW8FBQW4XK529+Li\n4qirq+vw/FmzZvHWW2+xcOFCIiIiuOGGG5g0aRJ1dXXExcV1yMPtdlNXV0dERAQDBgzo8BhATU0N\nRUVF7N69O/B4W1ub5uaJSI9S8CYifcrJQOqk2tpaxo4d2yFdVFQUc+bMAaC8vJynn36aUaNGERMT\nQ01NTYc8Ro8eTUxMDB6Ph+bm5kAAd+zYMRwO/yBGXFwc2dnZ3HvvvWfjrYmIABo2FZE+pr6+ng8+\n+IC2tjaKior4/vvvGTNmTId0O3fuDAR6TqcTh8OBZVmMGTOGH3/8ke3bt+Pz+dixYwdVVVVkZmYS\nFxdHcnIyGzdupLW1lfLy8na9bOPHj2f37t3s3bsXn89Hc3Mz+/fv7xBQioh0h2WMMcEuhIjI6cjJ\nyeGXX37B4XAE9nlLS0sjKyuLLVu2kJCQQGFhIdHR0dx9992kpaUB7Vebbtiwgc8++4ympiaioqKY\nNm0akydPBvyrTfPy8vjpp5+48MILufPOO9utNn355ZeprKwMrDb1er3MmzcP8C+Y2LBhA99++y0h\nISEkJydzzz33EBsbG5wPS0T6HAVvItJnFBQUsHXrVhYtWhTsooiInDUaNhURERGxEQVvIiIiIjai\nYVMRERERG1HPm4iIiIiNKHgTERERsREFbyIiIiI2ouBNRERExEYUvImIiIjYiII3ERERERv5P/zM\ndCbPjpswAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f25582f5668>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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MVG3YUggBlB9CWt4lASuT4YvapEN+fbtcgJAD2ksQaMLWCPnV54CQUOjuuv+U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\nAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f25582f5908>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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IYAAAAA4jgAEAADiMAAYAAOAwAhgAAIDDCGAAAAAOI4ABAAA4jAAGAADgMAIYAACAwwhg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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f2558212240>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Observations Statistics (after scaling)\n",
"df_plot(data, '_Episode', ['_mean_obs'])\n",
"df_plot(data, '_Episode', ['_max_obs', '_min_obs'], ylim=(-5, 5))\n",
"df_plot(data, '_Episode', ['_std_obs'], ylim=(0, 0.5))"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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q9f4SFnY2ReGTX3K5LcofvytYw9IafZKYy136dnUGOzd38+Or5AL2p5ddkRG2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\nFaGggMkswWKVYLHI8LgjWL059YIXoLWE1SyzYf8uDy6dC03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Z0do8/ntoOxNEJCJQUTM9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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f25581f3940>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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pX5X/2MeOwZ7voHlcuY9VKSR0gdBa2AqYG8ETtD54Gyf5lhI/yWtqhOL06EPQ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\nnXsIavIyHRIAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f2558236898>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Actions Statistics\n",
"df_plot(data, '_Episode', ['_mean_act', '_max_act', '_min_act'])\n",
"df_plot(data, '_Episode', ['_std_act'])"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"scrolled": false
},
"outputs": [
{
"data": {
"image/png": 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wlwk0x4/i5HTsjNUvBRL7YLlOfdonU1sDO7ZithcGe2C3K68L26bCMhfkRx99xFlnncVF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\nDCOAAQAAGEYAAwAAMIwABgAAYNgPwoK+Bty8XkUAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f25582f5978>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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XIiKdQOFMRCTcrFsNg4diHP0TLhKJ9MkWEQkzdp3upykSyRTORETCjH/xWV1v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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f2558443828>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Discounted Reward Statistics\n",
"df_plot(data, '_Episode', ['_mean_discrew'])\n",
"df_plot(data, '_Episode', ['_std_discrew'])"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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GR0VEpG327ob+gzDRvWDYCCjaiVVPkEinU9ImIiJtYvfswKSlA2Di+kBSCpTsafkiEekw\nJW0iItI2RTthyHD/SzNsJFab7Ip0OiVtIiLSJif2tAEwPCOoixFEpGlK2kREpG2KdsKQdP9LMyxD\nJyOIdIGAVo9u3LiRlStXYq1lxowZzJo1q9H7dXV1LF++nG3btuF2u1mwYAEpKSkUFhbyq1/9yl9u\n9uzZTJ48OaA6RUSk+7EVh6CmBjwpX/xw2EjYvR3rOBiX+gJEOkurSZvjOKxYsYJFixaRlJTEwoUL\nmTRpEkOGDPGXWbNmDfHx8SxdupT169fz9NNPM3/+fIYNG8b999+Py+Xi4MGD/OQnP2HixIkArdYp\nIiLd0J4dMGQ4xhj/j0xfN/R1w/69MEh/j4t0lla/EhUWFjJ48GD69+9PdHQ0U6dOJT8/v1GZ/Px8\npk+fDsCUKVPYvHkzADExMbiOf+uqqanxf8gDqVNERLofW3TSfLYGwzVEKtLZWu1p83q9JCcn+197\nPB4KCwubLeNyuejbty+VlZXEx8dTWFjI448/TllZGTfffDMulyugOkVEpBvasxPSR53yYzPs+GKE\nydNCEJRIZOiUyQcnHuWQmZnJkiVLuO+++3j++eepq6vrjFuKiEgXsEU7m+xp0xmkIp2v1Z42j8dD\nWVmZ/7XX68Xj8TQqk5ycTHl5OR6PB8dxOHbsGPHx8Y3KpKamEhcXx65duwKqs0FBQQEFBQX+17m5\nuTqXLkzFxMSo7cKY2i+8BaP9rFPPob27cY/JwvTp2+g95/SzqFjxS+Lj4xvNd5OO02cv/OXl5fl/\nnZWVRVZWVrvqaTVpy8zMpKSkhNLSUpKSkli3bh3z5s1rVCY7O5u1a9cyatQoNmzYwLhx4wDYv38/\nKSkpuFwuSktLKS4uZsCAAfTp06fVOlt6OJ3BFp50fl54U/uFt2C0n91XDPEJVNY7cHJdUb2w0b2o\n2LEVkzKwQ/eRxvTZC29ut5vc3Nyg1NVq0uZyuZgzZw6LFy/GWktOTg5paWnk5eWRkZFBdnY2OTk5\nLFu2jLlz5+J2u/0J2JYtW1i9ejXR0dEYY7juuuv8PXBN1SkiIt3Ynh3Q1CKEBsNGwq5toKRNpFMY\ne+IEtDBRXFwc6hCkHfRtMbyp/cJbMNrP+esqqHdwfePbTb+/+vdgLa5ZTb8v7aPPXnhLTU0NWl3a\nBVFERAJi9+yAtOHNvu87GUGLEUQ6i5I2EREJTDMrR/2G6QxSkc6kpE1ERFplq6vgYDkMaGGox5MC\n9XXYg96uC0wkgihpExGR1hXvgkFpmKioZosYY9TbJtKJlLSJiEir7J4dmCHNz2dr4JvXpqRNpDMo\naRMRkdYV7Wx5u48GwzKwO7UYQaQzKGkTEZFW+Xra0lstZ4aP1PCoSCdR0iYiIi2y1kLRDghgeJSU\nQXDsCLbicKfHJRJplLSJiEjLDnkBA4lJrRY1LhcMHQG71dsmEmxK2kREpGV7dsKQ4QEfBG80r02k\nUyhpExGRFtmiHS1vqnsybfsh0imUtImISMuO97QFStt+iHQOJW0iItIiu2cHJm1E4BcMGgIHvdij\nRzovKJEIpKRNRESaZevqYF8RpA4L+BoTFeXb023P9s4LTCQCKWkTEZHm7SuGpBRMbGybLtMQqUjw\nKWkTEZFm2aIdkBb4fDa/YSNBK0hFgkpJm4iINC/AkxBOZoarp00k2JS0iYhIs2zRTkx7etpSh0FZ\nCba6OvhBiUQoJW0iItK8PTsCOyj+JCa6FwwaqsUIIkGkpE1ERJpkjx6BIxW+80TbwTdEqnltIsGi\npE1ERJpWtBNSh/nOE22PYSN1MoJIEClpExGRJtmiHZg2nIRwMm37IRJcStpERKRp7ZzP5jckHfbu\nwdbWBikgkcimpE1ERJpki3Z2rKctNhb6D4LiXUGMSiRyKWkTEZFTWGt9c9rasUfbiTREKhI8StpE\nRORU3lKIicO4EzpWz3AtRhAJFiVtIiJyqj0723d81UnMsAzsTiVtIsGgpE1ERE5h92xv1/FVpxg6\nEop2YuvrO16XSIRT0iYiIqcq2gkdWITQwPTuA/2SoaQoCEGJRDYlbSIicgq7ZwemI9t9nECHx4sE\nh5I2ERFpxNbWQtk+GDw0OBXqZASRoIgOpNDGjRtZuXIl1lpmzJjBrFmzGr1fV1fH8uXL2bZtG263\nmwULFpCSksKmTZtYtWoV9fX1REdHc/XVVzNu3DgA7rrrLg4cOEBMTAzGGG6//XYSEjq4SklERDpu\n725IGYjp1Sso1ZlhGTgv/jEodYlEslaTNsdxWLFiBYsWLSIpKYmFCxcyadIkhgwZ4i+zZs0a4uPj\nWbp0KevXr+fpp59m/vz5JCQk8LOf/Yx+/fqxe/du7r33Xp544gn/dfPmzWPEiBGd82QiItIutmhn\n0IZGgeM9bduwjtP+c0xFpPXh0cLCQgYPHkz//v2Jjo5m6tSp5OfnNyqTn5/P9OnTAZgyZQqbN28G\nID09nX79+gEwdOhQamtrqaur819nrQ3ag4iISJDs2RGURQgNTHwC9HVDaUnQ6hSJRK0mbV6vl+Tk\nZP9rj8eD1+tttozL5aJv375UVlY2KvPWW28xYsQIoqO/6Nx7/PHHufXWW3n22Wc79BAiIhI8tih4\nixD8ho3UYgSRDgpoTltbndyDtnv3blatWsUdd9zh/9ncuXNJSkqiqqqKJUuW8PrrrzNt2rTOCEdE\nRNpiz86OHRTfBDNkOBTvDmqdIpGm1aTN4/FQVlbmf+31evF4PI3KJCcnU15ejsfjwXEcjh07Rnx8\nPADl5eU89NBD3HzzzQwYMMB/TVJSEgBxcXFMnTqVwsLCJpO2goICCgoK/K9zc3Nxu91tfEzpDmJi\nYtR2YUztF94CbT/n8CEO11TjHj4SY0zQ7l89MJX67Z/RR3+G2kyfvfCXl5fn/3VWVhZZWVntqqfV\npC0zM5OSkhJKS0tJSkpi3bp1zJs3r1GZ7Oxs1q5dy6hRo9iwYYN/heiRI0e4//77ufrqqxk9erS/\nvOM4HDlyBLfbTV1dHe+//z5nnnlmk/dv6uEqKira/KASem63W20XxtR+4S3Q9rOffgRDhp0yxaWj\nbFxvnLL91OvPUJvpsxfe3G43ubm5Qamr1aTN5XIxZ84cFi9ejLWWnJwc0tLSyMvLIyMjg+zsbHJy\ncli2bBlz587F7Xb7k7pXXnmFffv28eyzz/LnP//Zv7VHbGws9957L/X19TiOwxlnnMFFF10UlAcS\nEZH2s0U7fUOZwZbogUMHgl+vSAQxNgyXcBYXF4c6BGkHfVsMb2q/8BZo+zm/WQbDM3BdeGlQ72/L\nS3Hu/ylRD/46qPVGAn32wltqamrQ6tKGOSIi4ufraUsPfsWJ/aDiENZxgl+3SIRQ0iYiIl8oLYEB\ng4NerYnuBb17Q+XhoNctEimUtImICAC2phqqjoI7sXNuoHltIh2ipE1ERHwOlkOip/OOmkpMgkPe\n1suJSJOUtImIiI+3DDwpnVa9SUzCHjrYafWL9HRK2kREBAB7oByT1L/zbpCgnjaRjlDSJiIiPt5S\nSEpuvVx79UvSnDaRDlDSJiIiPgc6d3iURA9WPW0i7aakTUREgOPDo508p009bSLtp6RNRER8vGWQ\n1Lk9bUraRNpPSZuIiPgc6OykzbcQIQxPTxTpFpS0iYgItroaqqs6b2NdwMT1BuOCqmOddg+RnkxJ\nm4iIHO9lS8YY07n30Qa7Iu2mpE1ERDp/aLSBFiOItJuSNhERwR4ow3TmHm3HmUQP9qB62kTaQ0mb\niIh0+hFWfuppE2k3JW0iIgIHyqEzj7BqoG0/RNpNSZuIiHTZ8CiJ/eCwkjaR9lDSJiIivnNHu2B4\n1CR6sOppE2kXJW0iItKFw6NJoIUIIu2ipE1EJMLZ6iqorYF4d+ffTHPaRNpNSZuISKTzdtHGuuBL\nDGuqsLU1nX8vkR5GSZuISKTrqo11wZcYJvRTb5tIOyhpExGJcL6Vo12TtAGQoL3aRNpDSZuISKTr\nqo11G2iDXZF2UdImIhLpjh8W31W07YdI+yhpExGJcL7h0S7Y7qNBYhIc0rYfIm2lpE1EJNIdKO/a\n4dF+Gh4VaQ8lbSIikc6r4VGRcKCkTUQkgtmqo1BfC327YGPdBlo9KtIuStpERCLZ8eOrumRj3QZa\nPSrSLtGBFNq4cSMrV67EWsuMGTOYNWtWo/fr6upYvnw527Ztw+12s2DBAlJSUti0aROrVq2ivr6e\n6Ohorr76asaNGwfAtm3beOyxx6itrWXChAlcc801QX84ERFpRRcPjQK+zXUrD2GdeowrqmvvLRLG\nWu1pcxyHFStWcPvtt7NkyRLWrVtHUVFRozJr1qwhPj6epUuXctlll/H0008DkJCQwM9+9jMefPBB\nbrzxRpYvX+6/5qmnnuKGG27gkUceYe/evWzcuDHIjyYiIq2x3tKu3VgXMNHR0CceKg536X1Fwl2r\nSVthYSGDBw+mf//+REdHM3XqVPLz8xuVyc/PZ/r06QBMmTKFzZs3A5Cenk6/fv0AGDp0KLW1tdTV\n1XHw4EGOHTtGZmYmANOmTTulThER6QJdvXK0gbb9EGmzVpM2r9dLcvIXXecejwev19tsGZfLRd++\nfamsrGxU5q233mLEiBFER0efUmdycvIpdYqISBfownNHG9G8NpE2C2hOW1tZaxu93r17N6tWreKO\nO+5oc10FBQUUFBT4X+fm5uJ2d+EqJwmamJgYtV0YU/uFt+bar7LiILFDhtKri9v2SPIAoquOEqs/\nU63SZy/85eXl+X+dlZVFVlZWu+ppNWnzeDyUlZX5X3u9XjweT6MyycnJlJeX4/F4cByHY8eOER8f\nD0B5eTkPPfQQN998MwMGDPDXWV5e7r++4dqmNPVwFRUVAT6edCdut1ttF8bUfuGtufar31+CE9eH\nqi5uW6dvPHX7S6jRn6lW6bMX3txuN7m5uUGpq9Xh0czMTEpKSigtLaWuro5169YxceLERmWys7NZ\nu3YtABs2bPCvED1y5Aj3338/V199NaNHj/aX79evH3369KGwsBBrLa+//jqTJk0KygOJiEgbHCiD\nrjzCqkGiR3PaRNqo1Z42l8vFnDlzWLx4MdZacnJySEtLIy8vj4yMDLKzs8nJyWHZsmXMnTsXt9vN\nvHnzAHjllVfYt28fzz77LH/+858xxnD77beTkJDAnDlzePTRR/1bfowfP77TH1ZERL5gjx0Fa6FP\n3y6/t0lMwvnsoy6/r0g4M/bkCWhhoLi4ONQhSDuoiz+8qf3CW1PtZ4t24TxxH1H3PN7l8djPP8Z5\ndiVRP/t/XX7vcKPPXnhLTU0NWl06EUFEJFIdKA3NylHwrR49qOFRkbZQ0iYiEqHsgXJMKPZoA/+W\nH2E42CMSMkraREQilTdEe7QBJjYOoqPh2JGQ3F8kHClpExGJVKEcHoXjK0i1wa5IoJS0iYhEqJAO\nj4LmtYm0kZI2EZFIFcLhUfBt+2HV0yYSMCVtIiIRyFobunNHG2h4VKRNlLSJiESiY0cAA737hC6G\nfkk6FUGkDZS0iYhEIm8ZeFIwxoQuhoQkOHQwdPcXCTNK2kREItGB8tAOjdIwp009bSKBUtImIhKB\n7IFSTFJyaIPQnDaRNlHSJiISiY4Pj4ZUvyQlbSJtoKRNRCQSdYPhUfrEQ20NtqY6tHGIhAklbSIi\nEcgeKMOEek6bMf4zSEWkdUraREQi0YFuMDwKkNBP236IBEhJm4hIhLHWdo85bXB8MYK2/RAJhJI2\nEZFIc7QSoqIwcSHcWPc400/bfogESkmbiEikCfXxVSfSnDaRgClpExGJNN4yCPUebQ0SPZrTJhIg\nJW0iIhHGesswnv6hDgNoOBVBPW0igVDSJiISabrDHm0NEpPgoJI2kUAoaRMRiTQHSrvR8GgSHFbS\nJhIIJW0iIhHGNzzaTXra3P3gSAW2vj7UkYh0e0raREQizYFySOomc9qioqCvGyq0V5tIa5S0iYhE\nEGstHOxGq0dB236IBEhJm4hIJDlSAdG9MHG9Qx3JFxI9WowgEgAlbSIikcTbjTbWPc4k9tOpCCIB\nUNImIhJJutNpCA0SPVpBKhIAJW0iIhHEHuhGK0cbaE6bSECUtImIRJJuOTzqwWpOm0irlLSJiESS\nbjk8mqTqsn9ZAAAgAElEQVTzR0UCEB1IoY0bN7Jy5UqstcyYMYNZs2Y1er+uro7ly5ezbds23G43\nCxYsICUlhcrKSpYsWcLWrVu58MILufbaa/3X3HXXXRw4cICYmBiMMdx+++0kJCQE9+lERKQRe6Ac\nl4ZHRcJSq0mb4zisWLGCRYsWkZSUxMKFC5k0aRJDhgzxl1mzZg3x8fEsXbqU9evX8/TTTzN//nx6\n9erFVVddxe7du9m1a9cpdc+bN48RI0YE94lERKR53m50hFWD40dZWWsxxoQ6GpFuq9Xh0cLCQgYP\nHkz//v2Jjo5m6tSp5OfnNyqTn5/P9OnTAZgyZQqbN28GIDY2ljFjxhAd3XRuaK3taPwiIhIga223\nOg2hgYmJhV6xcLQy1KGIdGut9rR5vV6Sk7/4VubxeCgsLGy2jMvlom/fvlRWVhIfH99i3Y8//jgu\nl4vJkydzxRVXtCd+EREJVOVhiI3DxMaGOpJTJSb5Ntjt6w51JCLdVkBz2toqkB60uXPnkpSURFVV\nFUuWLOH1119n2rRpp5QrKCigoKDA/zo3Nxe3Wx/qcBQTE6O2C2Nqv/AWExNDn+qjHE3u3y3bsTK5\nP7G1VfTqhrGFmj574S8vL8//66ysLLKystpVT6tJm8fjoayszP/a6/Xi8XgalUlOTqa8vByPx4Pj\nOBw7dqzVXrakpCQA4uLimDp1KoWFhU0mbU09XEVFRWthSzfkdrvVdmFM7Rfe3G43R/fswkn0dMt2\ndPomcHRvEa700aEOpdvRZy+8ud1ucnNzg1JXq3PaMjMzKSkpobS0lLq6OtatW8fEiRMblcnOzmbt\n2rUAbNiwgXHjxrVYp+M4/j+AdXV1vP/++wwbNqy9zyAiIgHolhvrNuinbT9EWtNqT5vL5WLOnDks\nXrwYay05OTmkpaWRl5dHRkYG2dnZ5OTksGzZMubOnYvb7WbevHn+62+66Saqqqqoq6sjPz+fO+64\ng5SUFO69917q6+txHIczzjiDiy66qFMfVEQk4nXDjXX9EpLgYHmooxDp1owNwyWcxcXFoQ5B2kFd\n/OFN7Rfe3G43h375czh9Aq7zckIdzimct/4Nm/JxXf+TUIfS7eizF95SU1ODVpdORBARiRDdeXjU\nJCZhtcGuSIuUtImIRIruPDzaz6NTEURaoaRNRCQCWMfxzRnrbqchNND5oyKtUtImIhIB7OGDENfb\nd/pAd9S7L9TXY6urQh2JSLelpE1EJAI43tLuOzQKvjNHE/qpt02kBUraREQigFNeCp7udeboKfp5\nfEdZiUiTlLSJiEQAW74f013nszVITILDStpEmqOkTUQkAjjl3Xt4FLTth0hrlLSJiEQAp3w/dNM9\n2vwSPZrTJtICJW0iIhHAKS/FdPOeNhKTNKdNpAVK2kREIoDt5qtHQcOjIq1R0iYi0sNZx8E50I03\n1m2gDXZFWqSkTUSkpzt8ENOnL6ZXTKgjaVmiBw4fDHUUIt2WkjYRkZ7uQDmu5G6+RxuAOwGOVmLr\n6kIdiUi3pKRNRKSnO1CK6e4b6wLGFQXxieptE2mGkjYRkR7OHijHlTwg1GEEJjEJtBhBpElK2kRE\nejpvWZglbVqMINIUJW0iIj3dgTJcyd17u48G2vZDpHlK2kREejh7QD1tIj2BkjYRkZ7OW4YJm6TN\nA4e0EEGkKUraRER6MFtTDYcP4uruG+se5xseVU+bSFOUtImI9GQfvQ+Zp3X/jXUbaPWoSLOUtImI\n9GD23TcxE88PdRiBU9Im0iwlbSIiPZStrsZ+9D7m7HNDHUrgEpPg8EGs44Q6EpFuR0mbiEhP9dF7\nkJ6JcSeGOpKAmV4xEBsHRypCHYpIt6OkTUSkhwq7odEGGiIVaZKSNhGRHshWV2MLPsBMCKOh0Qb9\nPEraRJqgpE1EpCf66F0YMQrjTgh1JG2mbT9EmqakTUSkB7L5YTo0CpCg4VGRpihpExHpYWx1Ffbj\nDzATpoQ6lPZJTIKD6mkTOVl0IIU2btzIypUrsdYyY8YMZs2a1ej9uro6li9fzrZt23C73SxYsICU\nlBQqKytZsmQJW7du5cILL+Taa6/1X7Nt2zYee+wxamtrmTBhAtdcc01QH0xEJFLZTe/CyDGY+PAb\nGgUwmafh/P1POBWHMF+ehUkfFeqQRLqFVnvaHMdhxYoV3H777SxZsoR169ZRVFTUqMyaNWuIj49n\n6dKlXHbZZTz99NMA9OrVi6uuuor/+q//OqXep556ihtuuIFHHnmEvXv3snHjxiA9kohIZAvbVaPH\nmZFjcP3iV5CeifP4fdQ/uBD74Tvau00iXqtJW2FhIYMHD6Z///5ER0czdepU8vPzG5XJz89n+vTp\nAEyZMoXNmzcDEBsby5gxY4iObtyhd/DgQY4dO0ZmZiYA06ZNO6VOERFpO1t1DD7ZGL5Do8eZPn1x\nffkbuO79FWbaJTh/ewbnzptw1r7sO09VJAK1Ojzq9XpJTv7ioGGPx0NhYWGzZVwuF3379qWyspL4\n+PiA6kxOTsbr1fwFEZGOspvyIeM0TF93qEMJChMdjTlnOnbyNPisAOcfz2NX/x4z/SuYGZdiEvqF\nOkSRLhPQnLa2stZ2RrUiItKKcB8abY4xBsaMI2rMOOzePdhXV+P8zw8x2VMxl/wHZkBqqEMU6XSt\nJm0ej4eysjL/a6/Xi8fjaVQmOTmZ8vJyPB4PjuNw7NixZnvZGuosLy/3v264tikFBQUUFBT4X+fm\n5uJ294xvkJEmJiZGbRfG1H7dnz12lENbNuO+6TZc8Y3bqke1n/s0GH0azuGDVL/4J2of/QXuh38T\n6qg6TY9quwiVl5fn/3VWVhZZWVntqqfVpC0zM5OSkhJKS0tJSkpi3bp1zJs3r1GZ7Oxs1q5dy6hR\no9iwYQPjxo1rsc5+/frRp08fCgsLycjI4PXXX+crX/lKk2WberiKCp1JF47cbrfaLoyp/bo/5+21\nkHkaRyxwUlv1yPYzUdhLr8R5+XkO79uL6dN8Z0E465FtF0Hcbje5ublBqavVpM3lcjFnzhwWL16M\ntZacnBzS0tLIy8sjIyOD7OxscnJyWLZsGXPnzsXtdjdK6m666Saqqqqoq6sjPz+fO+64gyFDhjBn\nzhweffRR/5Yf48ePD8oDiYhEqp46NNoS44qCYSNgRyGcrn9HpGczNgwnoBUXF4c6BGkHfVsMb2q/\n7s0eO4pz67W47n+qyR6nntx+Tt4KiE/AdemVoQ6lU/TktosEqanBm2+pExFERHoA++HbMHpcjx0i\nbNGI0djtn4c6CpFOp6RNRKQHsO+uw0ycGuowQsKkj4IdStqk51PSJiIS5uzRI/DZR5izzgl1KKGR\nMhDqarA6r1R6OCVtIiJhzn74Dow5A9O7T6hDCQljDAzPVG+b9HhK2kREwpx9901MdmQOjTYwmtcm\nEUBJm4hIG9idW7GHD4Q6DD97tBI+L8CcNTnUoYSUSR+FVU+b9HBK2kRE2sD50/9hX34u1GH42Y1v\nw5gzI3Zo1C99FOws1DGK0qMpaRMRCZB1HNi1Ffv2Wmx9fajDASJ71eiJTGISxMRCaUmoQxHpNEra\nREQCta8Y+rp9qxUL3g91NNgjlVD4MeasSaEOpXsYMQq7/bNQRyHSaZS0iYgEyO78HJM+CnNuDnb9\nmlCHg934Fpx2FiYuwodGj/Pt11YY6jBEOo2SNhGRQO0ohPRRmEkXYD/e6OvpCqFIPGu0JVqMID2d\nkjYRkQDZHZ9j0jMxfeMxp4/H5r8RulgqD8PWLZgzJoYshm5neAbs3tZt5huKBJuSNhGRANi6Otiz\nw5cYAOa8HOyG0A2R2g/egtPHY+J6hyyG7sb0iYekZNi7K9ShiHQKJW0iIoEo3gWe/l/MH8s6G8r2\nYUv2hCQc++46XBoaPYVJH6VNdqXHUtImIhKAhqHRBiYqCnPOdOyG17o+lorDsP1T0NDoqbQYQXow\nJW0iIoHY8bkvITiBOS8H+9Zrvv3bupBd/y/MWedgYuO69L7hwLcYQdt+SM+kpE1EJAC+nraTkra0\nEb592z7d3HVxOA527UuYC7/SZfcMK0NHQMkebG1NqCMRCTolbSIirbA11bCvyJcQnMSc18V7tn3y\nIcT2hpFjuu6eYcTExMKgNNi1LdShiASdkjYRkdbs3g6DhmJ6xZzylpk8HfvhO9iqo10SivNvXy+b\nMaZL7heOfEOkmtcmPY+SNhGRVjQ1NNrAJPSD0VnY99Z3fhzeMvjsI8w50zv9XmEtfRRoXpv0QEra\nRERas+NzOGHl6MlcXTREat/8B2byNO3N1gozQicjSM+kpE1EpBUt9bQBcMYkKN6FLS3pvBjq6rBv\n/EMLEAIxeBgcKMcePRLqSESCSkmbiEgL7LGjcKAcUoc1W8b06oWZdD72rX93XiCb3oGUQZghwzvv\nHj2EiYryLRrZqXlt0rMoaRMRacnOQkhL9yUCLTDnXoTdsAZrbaeE0bAAQQJj0kdriFR6HCVtIiIt\naHVotEF6JkT3gsJPgh/DvmLYswNz9nlBr7vHSs9U0iY9jpI2EZEW2CZOQmiKMQZzbuccIm/XvoQ5\n7yJMr15Br7unMiNG+RaQiPQgStpERFqyo5CAetoAM+VC7HvrfZvxBomtqcZuWIOZfknQ6owI/QdD\nVRX20IFQRyISNEraRESaYSsOwdEjMGBwQOVNUjKkj8J+8FbwYnj3TUgfhek/KGh1RgJjzPH92trf\n22b3F3faHEWR9lDSJiLSnOP7sxlX4H9VmvOCO0Rq//0SrulagNAevpMR2pe02dISnEU3w+cFwQ1K\npAOUtImINMNu/xzTwqa6TTHjp8D2z7EHyzt+/11b4ZAXzpzY4boikRnR/sUI9sU/Qrwbu/HtIEcl\n0n5K2kREmhHwytETmNhYzNnnBmXPNrv2ZcwFF2NcLW83Is1IH+VLoNs4xGn3FWM/zMd13Y+xG9/W\nEGk3YQ+UY0uKQh1GSEUHUmjjxo2sXLkSay0zZsxg1qxZjd6vq6tj+fLlbNu2DbfbzYIFC0hJSQHg\n+eef57XXXiMqKoprrrmGs846C4CbbrqJPn36YIwhKiqK++67L8iPJiLSftZa3/Dot3/Y5mvNeRfh\n/O5R7MX/0e6D3e2xo9h338R192Ptul7A9EuGXjFQtg/aMCfQ/u0PmIu+BmPOgPp6KN4NQ5rfXFm6\nhv3HX7De/UT9cGGoQwmZVpM2x3FYsWIFixYtIikpiYULFzJp0iSGDBniL7NmzRri4+NZunQp69ev\n5+mnn2b+/Pns2bOHDRs28Mtf/pLy8nLuueceli5d6lsabwx33nkn8fHxnfqAIiLt4i3z/T8ppe3X\nZp4GdbW+jXnb2FPXwL71Gua08ZjEpHZdL8cdn9cW6EIOW7QL+/FGXN/+oe/fqvHnYDe+hVHSFnL2\ns81QXop1nDbNM+1JWn3qwsJCBg8eTP/+/YmOjmbq1Knk5+c3KpOfn8/06dMBmDJlCh999BEA7777\nLueddx5RUVEMGDCAwYMHU1joO1bEWqsuZxHpvo7vz9aenjL/nm3tPETeWovVCQhBYdIz27SC1Pnb\nKszF38DE9fFdP/4czWvrBuyRSti3F/r0hT07Qh1OyLSatHm9XpKTk/2vPR4PXq+32TIul4s+ffpQ\nWVmJ1+v1D5OefK0xhnvvvZeFCxfy6quvBuVhRESCpT3z2U5kzp2BzX8DW1vb9os//xicet/wnHSI\nGTEKu/2zgMraXdugcAvmwsu++OGoLNi/F3ug4wtLpAM+L4CMMZisCdgtm0IdTch0Sv9iID1o99xz\nD/fffz8LFy7klVdeYcuWLZ0RiohIu9gdn/t21W8nkzIQUodh33uz7fde+xJm+iXtng8nJxg+CnZt\nxzr1rRZ1/roK85UrMLGx/p+Z6GjMGdnYD9XbFkr2048wo8dhxp4Z0Ulbq3PaPB4PZWVl/tderxeP\nx9OoTHJyMuXl5Xg8HhzH4dixY8THx59ybUMZgKQk3zyNhIQEJk+eTGFhIWPHjj3l/gUFBRQUfLFP\nTm5uLm63u42PKd1BTEyM2i6MRVL7Wcfh0K6txI+bgKsDz1z7zWs5umwxri2biMu9lqiBqa1e4xw6\nwOGP3iPh+v/GFR+83+9Iar9G3G4OJyXT9/ABooaOaLZYXeEnHNm9nYQf34OJiWn0Xs25M6hZ8wLx\nX/tmZ0fbpIhtuxNUFH5M7+/NxTV4KId/s5z43r0x0QGtpewW8vLy/L/OysoiKyurXfW0+sSZmZmU\nlJRQWlpKUlIS69atY968eY3KZGdns3btWkaNGsWGDRsYN24cABMnTmTp0qV89atfxev1UlJSQmZm\nJtXV1VhriYuLo6qqik2bNjF79uwm79/Uw1VUVLTrYSW03G632i6MRVL72ZIi6N2XIyYKOvLMwzIx\n9zxO3T9XU3HbDZhzpmMuy8Uk9Gv2EueVv2AmTOGIpWP3Pkkktd/J7LAMKgs24urX/KKS+lVPYr4y\nm8rqaqhufAyZzRiL88QDHN5XgunTt7PDPUUktx345rM5e/dwdEAqxrgguT8VH32AyTi1o6c7crvd\n5ObmBqWuVpM2l8vFnDlzWLx4MdZacnJySEtLIy8vj4yMDLKzs8nJyWHZsmXMnTsXt9vtT+rS0tI4\n99xzWbBgAdHR0Vx33XUYYzh06BAPPvggxhjq6+u54IIL/FuBiIiEmj1+EkIwmLjemK9dhZ1+Cfbv\nf8JZdBMm56uYL1/un+zuv6/jYNe+jOsHtwbl3nLciEzY/hlMndnk2/bzj2FfEeb8pt83cX0g83Ts\nR+9hJk/rzEilKQ3z2aJ7AfiHSMMlaQsmY8NwCWdxcXGoQ5B2iPRvi+EuktrPeeZJ6OfBdckVQa/b\nlpZgV/8e+8mHvl63aRf7/zGym9/DWf17ou54OOj3jaT2O5kt/ATnmSeb/H211uI8dDvmvBxczSR1\nAM7rL8OWzbiu/0lnhtqkSG47AOePKyDejesyX2+V/fAdnH/9jagf3RPiyAKTmtr6tIhAReZGJyIi\nLejoytGWmP6DcF33Y1zz7sRuysdZdBPO22uxjoNzfAGCBNnQkbB3V9MrebdsgoNezJQZLVZhzpyM\n/eh9bF07VgNLh9jPNmNOXEk9Kgu2fda+ldlhTkmbiMgJbH29bx+o4cEZHm2OGZZB1Py7cH3nJuyr\nf8W5ZwEUfqLht05gYmNhwBDYs73Rz621OKt/j/n6f2KiWj4qzPTzwOA0+PSjzgxVTuLfn+2E6Qqm\nT19IHQrbPg1hZKGhpE1E5ETFuyApBdO7T+tlg8Ccdhau2x7C9dVczFXXYWLjuuS+kabJ/do+eg+O\nHsFMOj+wOo6fjiBd6KT5bA3MmDMicusPJW0iIifwDY12bi/byYwxmOypuFoZopMOSB/V6GQEXy/b\nKlyXfwvjarmXrYEZPwW78R2s43RWlHKShv3ZThap+7UpaRMROdHx46ukZzHpo7A7Cr/4wca3fadO\nTDg38DoGp0FsHOzcGvwApUmnzGdrkHka7N6Gra7q+qBCSEmbiMgJOnMRgoRQ6jAo3489dtS36GP1\n73FdfnWbDx7XWaRdp6n5bA1MbBwMGwmFn4QgstBR0iYicpytrYGSPdDCzvkSnkx0tK9ddxZi31sH\nMbFw5qS21zP+HB1p1VU+L4CRo0+Zz9YgEodIlbSJiDTYtQ0GDsHExLZeVsKOSR+F3fYp9q+rfL1s\n7TnbdeRoqDiE3b836PFJY/bTj5oeGj3OjFHSJiISseyOQjQ02oOlj8L+4y8Qnwinj29XFcYVhTlr\nsoZIu4BvPtupixD8Ro6BvXuwR490XVAhpqRNRKTBTi1C6MlM+ig4UoFrVjt72RrqOUtbf3Q2e7Rh\nPlvzn0fTq5ev5/Pzgi6MLLSUtImIHKeeth5uYCquH93T4pBbQE47E/bswFYcCk5ccqrPP25xPluD\nSJvXpqRNRASwVUfBW+pbZSg9kjEGc9pZHa8nJhZOOwu7KT8IUUlT7KfNbPVxEiVtIiKRaOdWSEv3\nrTIUaYVvo13Na+ssvkUILcxnazA807eVS4T0eippE4lQ9sN8bElRqMPoNuyOzzGdfN6o9BzmzImw\nZRO2ujrUofQ4vvlsxQHNLzVRUZB5Ony6uQsiCz0lbSIRyG5+F+c3S3EeuBXn6cewB72hDin0tmsR\nggTO9HX7enk++SDUofQ8Ac5naxBJQ6RK2qTbsdZi9+4JdRidxh4ox277NHT331eM8+tHcN14G657\nHoPYOJyf34Kz+vfYY0dDFleo6SQEaSsz/hzsBxoiDbZA57M1MGPPxKqnTaTr2cMHcZYvxrnrFpwX\nnsFaG7y6q47h/PoRnLUvB7XegO7tONiP3qf+0V/4EqTH78f53WNdfm6erTqK8+i9mMuvxmSeholP\nwHXltbj+55dQXopzxw04//obtra2S+MKNVtxCI5WwsDUUIciYcSMPwe7KR9bX99p97DVVTjlpZ1W\nf3cU8Hy2BmnpUHkYe6C802LqLpS0Sbd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1aLwllFKoXR+j/isdamshuKeZlPUKg57h5vde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\ngg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f2558236400>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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fwV70Xcx5F2FNPzv8B2zdBMeOCzlAM3mDIT0d6usgFvmFO3oeD9bjmjoKJl7o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\n6nNl367EV48WD+21WELWv42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qdmuRhFJKKRWm9Ghubmho4L777qOmpoaSkhIWLFhAdnb3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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f255848a668>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Policy and Value Function Training Loss\n",
"df_plot(data, '_Episode', ['ValFuncLoss'])\n",
"df_plot(data, '_Episode', ['PolicyLoss'])"
]
}
],
"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": "3.5.2"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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