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OpenAI Gym Humanoid
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Proximal Policy Optimization: Humanoid-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/Humanoid-v1/Jul-26_22:06:25/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_22:06:25: Maximum 100 Episode Average = 8.27e+03 around Episode 124320\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": {
"scrolled": true
},
"outputs": [
{
"data": {
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czD9W7ayaOUVoqOfXBVdIG2xpWhUNG0MoCvzqp2VdXiGO86Wk/c36Asumt7Vl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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fcb33ab1d68>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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169ZhwYIFkFJi6NChGDFihO7zxsZGzJs3D+vXr4fP58PkyZPRvn17VFZW4umnnw4tN2rU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\naRNCCCGE8AD/A7lZ1Yrx/lkMAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fcb33ab1cc0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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zk8yH7DL9BK9duxZt2rRBixYtkJOTg0GDBmHJkiWaNEIIVAVnpN+zZw9KShyq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\nXdZ5AAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fcb339dc908>"
]
},
"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'])\n",
"df_plot(data, '_Episode', ['KL'], ylim=(0,0.05))\n",
"df_plot(data, '_Episode', ['ExplainedVarOld'], ylim=(0,1))"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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o+MT/MuD+g8IdakTR9Rc85S40yl9olL/QZGZmHvFjNKulzVobaE3r2bMnzzzz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\nuh+haUIAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fcb33ab1908>"
]
},
"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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zMa7c2/knjwFnMqHOcY31LJov0vHL7lJfD9AmhanPD2ZwdwlV66BO+krNUFpH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\npmSmAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fcb3389c978>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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xsXGCGaMCvMwxyvr9Ffz2n4GCPO221G+k/RhCMz4LtuzsbCxatAi5ublgjKFX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\nVUofQYHGpzFsRPlk8V5yaRNW/h2AGbaB+CIv8vBy2XepAIc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ak2VwfwtbqGg1GvFVFiT6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\nCFE5CtgIIYQQQlTu/wN+6DG2IyFt/QAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fcb338a27b8>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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RGQiDMyIiIiIDYXBGREREZCAMzoiIiIgMhMEZERERkYEwOCMiIiIyEAZnRERERAbC4IyI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\nerLy/BnHAQmF1N4jC2eTV6BUrQppOQ8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iIjIQBmdEVO6MHz8eGzZsCGqaX375JWbOnBnU\nNImI/BGShc+JiACgb9++uHTpEkwmE6SUUBQFHTp0wIsvvljs+0aOHFkq+amIay4SUfnD4IyIQur1\n118vt8vBEBGVBgZnRGQ469evxy+//IImTZpgw4YNqFOnDnr27KkHcWPGjMFdd92FTp06IS0tDfPm\nzcORI0cQFhaG5s2bY9CgQQCAffv2YdGiRUhLS0NMTAx69OiBZs2aAdCWqpkzZw4OHz6MZs2aISYm\nxiEP+/fvx2effYYTJ04gOjoaPXr0wM0331y2BUFElRL7nBGRIaWmpuLqq6/GRx99hKeffhpTpkxB\nVlaWy3FffPEFWrZsiUWLFmHevHl48MEHAWhr2k2YMAEPP/wwEhIS8PDDD2P8+PHIzMwEAMyYMQNx\ncXFISEjAE088oS90DAAWiwUTJ07Ek08+iY8//hjdu3fH1KlTkZGRUTYfnogqNQZnRBRSkydPxgsv\nvKD/b+3atQCAWrVq4aGHHoKqqmjXrh0aNGiA7du3u7zfZDLh3LlzsFgsCAsLww033AAA2L59Oxo0\naIA777wTqqqiffv2aNiwIbZt24bz58/j4MGD6Nq1K8LCwnDTTTehdevWepr/+9//cOutt6JVq1YA\ngFtuuQXXXXcd/vzzzzIoESKq7NisSUQhNWzYMJc+Z+vXr0dkZKTDtrp16+LixYsu7+/evTuWLl2K\nkSNHombNmvj/du7YJZ0wjuP4xxNaCvTwhkbBTXDwqjEi5wb/hRB1yH8i+hucXW7yH3DLkOpabnCJ\nGyMMEVMxJEE6/Q2SIAe/rTzo/Vqfh4fneaYPz/e+d3FxofPzc00mE1mWFVpjPB5rMpno4OBAe3t7\noTFJGg6Hcl1XnudtxoMg4Ns4AL+CcAYgkr6D0rfRaKSTk5PQvEQioWq1KknyfV83NzfKZrMyTVPD\n4TC0Rj6fl2mams1mWiwWm4D2/v4uw1gXEyzL0tnZmSqVyk8cDQD+i7ImgEiaTqdqtVoKgkCu6+rt\n7U22bYfmPT09bYLc/v6+DMNQLBaTbdvq9/t6eHjQcrnU4+Ojer2ejo6OZFmWMpmMms2mvr6+5Pv+\n1ivZ6empPM9Tt9vVcrnUYrHQ8/NzKDACwE+IrVar1a43AeBvurq60sfHhwzD2PznLJfL6fj4WLe3\nt0qn0+p0OkomkyqVSsrlcpK2uzUdx9H9/b3m87kSiYSKxaIKhYKkdbdmo9HQYDDQ4eGhLi8vt7o1\n6/W6Xl5eNt2an5+fqtVqktYNCY7j6PX1VfF4XJlMRuVyWalUajeXBeDPIJwBiJy7uzu1221dX1/v\neisA8OsoawIAAEQI4QwAACBCKGsCAABECC9nAAAAEUI4AwAAiBDCGQAAQIQQzgAAACKEcAYAABAh\nhDMAAIAI+QeTp5abgvxjZAAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fcb337f4048>"
]
},
"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=(-50, 50))\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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MHOSpp57CggUL8L3vfQ8ejwcOx+gPzCUaD3Z22bB/DAa2J2tt8wCe39KFG48qHOuijDiX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\nQEQZgUAgEAgEQjvg/wPSFk+hBN/k9QAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fcb337bcc18>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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UlvP/pGuL1tqXvbMU2pxV0N5aYFv+5vQc2yH/YHJGRETkqkt/5X7cZHKpGdXO8RyYN5dD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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fcb33881fd0>"
]
},
"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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GfwRRrTZk7B3TOR9fiH9l1Mkki4hcDHu6iKhgjh8wbZ88ZJ5wPe7P0/m+vWjd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\nEhERETGAQpeIiIiIARS6RERERAzwHxGidfVpKqrbAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fcb33772f60>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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VZYPpwguTptk+NIKrleaDLbY8YOk9MkRDG/d2sdW14ZOhzVppX/bSG9DGz3Ks\n2+lOaPPXQZs4x2/hEpV23HuRiCJLZobt2MPRO1N/8zYzjZtDZWVCrVlqd12+NQ6iTQeI626C+mAW\n0OF2vfn9f3oclpw1yXY8fbTH9wWSiIqCYeoiyKVzIJKaQVxVyXbt/j4O7wENGzv0Woki62jZXRMC\nqMl1qYgs2NNFRBFMQWVdhLrg+IWfyjzvWP1ChmOiYan/6w+2499+BADIqaM8+vpQHUzzMN7gEe1s\nk+C1PgPtE652t0Dc+i/b+UOPQ3v+FQ4TEvmISRcRRTQ5fTTkiH52ZSr3MuTzjzlWdrdFi/m6XPKO\nLZEzuR8qVD995VGswaCN0792FP2edXH9bYh+QyDKxQHJraE9NRJa13shkpoFM0yiiMSki4gil6nA\n+ertyn4tLSs3SZecN1U/0AwOiZwrSsqgTpzXhox3fbFBIkSdBvpEePPK8EWJOvWt1wzPTYC44Z8B\niJKobGLSRUSRJfuS7djVhHVzcqWUAtJ22co1D/+V6Gk9APKp+6AKT6gPAM2yxyAA1Kil/6yUAO3l\nN4HGLayJk6hSPaBxEFHxOJGeiMKWacYYaPf/G6LBtSVvxJJgXcmDiIk1J1q79WtSQs4Y41DXLW+X\npNj2s3f1vdWkJUTHO4Fr6kNUuxri34MgjBUh6jWEYfhkfSj0upsgWt4Y2DiIqFhMuogofP35B9S1\nv3ucdCmloIouF2EZSjx3BqqCEerTVVBfrdfLwmS9LI81vwGiURPrZH9tyruAwQAREwvRx7Yulmb+\nutJCVKoC0aZDUEMlIkdMuogovHna+wQAp47ZLxkBWOd0ybEDHevnXbY7VZ8s8Ta6oDI8OxYAYFqz\nFKh5DUT1miGOiIi8wTldRBTeCiVd6sBeqF2/2V1Wly5C/s+8YKeXu+rIoY/6Gl1wNGwMbYb9Uhai\nbacQBUNEJcWki4jCW6GkS857DfLtiXaX1Y4tUGuXQUkT4EWnWLjTpsyznVS4CsJY0b6Ci42liSh8\ncXiRiMKb3fCieVJ8QQEgBITBYJuzlXkBcoyTIcRSSlQ3f4UYFw/tP8/ZXdOmvAvwS0SiUodJFxGF\nOcfuKzlxCFClGgxDxjvf+7AU0uZ8AvyVCnUiHaJ1O71s4mygfBxEXAW7upzLRVQ6MekiovCmFUq6\nLL1eJ44CmRlQOdlQS2ebrwU/NL8yGCCatoJo2spaJGpeE8KAiMjfOKeLiMKbZZ0tKYGLF2zlSgHZ\nWSEKyv9/LKeAAAAgAElEQVSEFwuuElHpxH/KiSi8Cf1fU+qHL+z3ObycY1/v74NBDMo/xCNPA8mt\nQx0GEQUJhxeJKLyZhw3VsjkOl9SvP1iP5TuTghWR96rXBE6fAACIlMf1ZS/+/APaLXdBdboTKLIM\nBhFFJvZ0EVGYE/o2Nk5YVmYPS3EVoA3TE8HCm0Zrt90LbcAoaK8u0K8JAdGiTUhCJKLgYtJFRGFJ\nbvkOAKA2bYQc0S/oz9eGTgCq1vDqnvJ9B0Ob87F+YjLZ1tK6qjIAQPQbov+MqwDhZdtEVPpxeJGI\n/E5lZwEXMyFq1il5G++9oR+cOemnqLxULg6i5Y1QX2+wlSVUAzLOOFTVhk6E2rsT0Td2wJXoGIib\nu+j312sEABDJrSFmr4KIiQ1W9EQUhph0EZHfyfdnAn9shWHB+lCH4jXxxHCIylUh/pEENEiEOn1C\nn3NV4SqIBolQhZOueo1geHmGfl/TVtCMRiArC1rfIdYq2rtr+WUiEQHg8CIR+UhJE1ShBUpNY58B\n/tjq9j65dA5U2q5AhlYiWttOEInJAPT5VhaGN5cB5p4rq/JxbttjwkVEFvy3ARH5RD7bC+qTxbaC\nE0c9uk99/znk9Jes56bh/4Y6e8rP0fmXuPMBaO+u0U/KlYf25IjQBkREpQqTLiLyijp5zL4gLxfq\n8H739507DVP/7lCnT0Dl5drKM8/DNOFZfeHTE+n+Dtclcft9ntUrtNG0EAJCM0Cbugjaa+85bkJN\nRFQMJl1E5DF14ijkmKe9uyfjLOS7r1tXk5cvPQX18fu26z9vAtIP6ydBHIrTev7Hsey1hQ5lovcA\naFMX2ZclVIWINwYsNiKKTJxIT0Sey88HAKg//4Bo0tLhsvrzD7tzufEjoMJVUL/9CFX4K8ScbNux\nKd92bE66VP4V/8XsBVGlmmNZbCwQy68Oich37OkiKmNUXp7ndbMvQUmTrcCyD+LfB5zWlwum29+/\n7kOo5fP0kyMuhiALb+djSbpWvOdxjK4YFqyHePAx4LqboI2dCXFTZ4iOd+oXk5rrPxskWhcptZYR\nEQUIe7qIIpjc8BFE244Q1WsBAFRuDuTghx2WclBSAgf3QjRqan//c70BANqslRCx5YACc6+UVHAq\nK9OjuNTW723HX6y1XbAkdd997lE7Dq5vD/z+s/VUu/NBW9P/GQqVnQW1cytEJz35MozWk0TtreVA\ndEzJnklE5CH2dBFFMLX+Q6ifvrYV5Oc7r5i2C3LqC/b3FvqSUA5Kgdr1O+Treh31xxa/xwoA6uhh\nmOa9VuL7RfMbir8eb4Rh2mJobTo4lHPhUiIKNPZ0EZUlSjovN5kciuSL/e1vvXAOKCjQTw7shcq9\nDGlZNd5f4X22Csg8X/IGNIP/giEi8jP2dBGVJeZRQbn+Q8gv1tiKjx704F77IUX1/f/ZFkFN22W3\nQGqJFVqMtES4ECkRhTH2dBGVJebESG34CIgtB9x+v36++gNPbrY/1ewTJPXN/3yP70KGT7cLY8Wi\nURIRhQ3+tZCoLCncG+VkqFHl5UJZhhDdNfXpx/bnu373KTRvaDOW2o6HTrAei6at9IOi2/UQEYUB\nJl1EEUo56zWShRItJ11CclAKLg54EOqvPY7tbfvFvqDol4q7g5N0adMWA+Vsex6Kpq0h2nexnXe9\nF6Jr96DEQkTkDQ4vEkUoy5eG9oWFJsznX4Has8PWO2SmLl2EcnZv6nY/R1gCjVtAVEoAAIiHHnf6\nAYD20OPBjoqIyCPs6SKKQGpfKmBeAV79XWiSvLQfUpRvjg3Z6u+eEj36WY+1Hn1tx13vhXbHA/pJ\nvYZBjoqIyHtMuogigMq6CHXRttSCnPai7aJ52E+lH4Z8eYDjvd9+FvD4fKHdoU/2R1Q0hIu5Wtqt\ndzss+EpEFG44vEgUAeQrw4HsSzC8/V/XlU6fcF5+6WJggvK3mnVCHQERkU+YdBFFgovngSvFDxPK\nua86LVefrgpERP7Rup3t2Nc1vIiIQoxJF1Epp7Iuuk24Cm/pU1oUHi4UvQdAXF07hNEQEfmOSRdR\nKSdnjndfyZetdUIhtpzdqda5W4gCISLyH06kJyqFVFYm1PG/9ZOcS27ry8VvBziiIuKNXt+ivbPC\ndvz6In9GQ0QUFtjTRVQKyfnTgL079SE44cHfnU6mBz6oQrRhkyAnPee+3rw1gElfAV/ExOqFBgNE\nXIVAhkdEFBLs6SIqjXIvAzDP5zpnP19LfrkuFBHZq1LdfhK8ReMWEF3usZ4KgwEiJtaWcAFOFzwl\nIooETLqISiPLIqcXLzgkKWrlwhAEZE/EV4Bh4Gig/rX6eZsO+gXNANH+Vv24dj2H+7Txs6CNnxWs\nMImIgorDi0SliFIKOHvKlnQZNMfrQSbu7wO1ZqnTa4aX3rAem379AYCyxm4Y/45jW7XrBiRGIqJw\n4Dbpys/Px7hx41BQUACTyYR27dqhZ8+ewYiNiIra/6e+p6Kllygvz+6y+uGL4MRxdW3g/DkgLxcw\nJ3ranI/NF4tZT8sQ5bAVERFRWeE26YqOjsa4ceMQGxsLKSXGjBmD1q1bo1Ej59txEFHgqK836Afm\nxEXt32N/fensoMShPTcRqFgJ8ukHrUmXiI5xe5+oXBXQOKuBiMomj4YXY2P1Sa75+fkwcZIrUcio\n33/SDwryg/5scctdUN9+BtG2E0SVanphVDRQKcGj+7XX3wfiKwDRMdDGvBnASImIwpNHf+WUUmLk\nyJF48skn0aJFC/ZyEYWA3XytMyf1slUBXs+qYWPAWBEAINreopdVr2W9bJj7CUSlKh41JSpX0b9U\nFAKibkN/R0pEFPY86unSNA2vv/46cnJyMG3aNKSnp6NOHfvNZ1NTU5Gammo9T0lJgdHo/QKJBMTE\nxPDd+aC0vz9VkI/cVYtRvld/u/JLU56Hw2yoAPc8V5oyF0opFOzehujm1+MCgJiYaJQv9H5V2w4w\nvbYAUaX4nftLaf/dCzW+P9/w/flu5cqV1uPk5GQkJyf7tX2vvl6Mi4tDcnIyduzY4ZB0OQsuKyvL\n9wjLIKPRyHfng9L8/kz9u0ObMAty3YcouPth+2u7twX02dq8NZAD7tdPkpoDabts77F+InLNx1cu\n56Kg6PutUgMope/cn0rz71444PvzDd+fb4xGI1JSUgL6DLfDixcvXkROTg4A4MqVK9i1axdq1arl\n5i4ickflXILa/6eTC/owosrOglz1vkO5P2jvroG471GIrvday4TBAAAwzvgA2oOPub5ZcV4nEVFJ\nuO3punDhAmbPng0pJZRSaN++Pa677rpgxEYU0dTaZVDffKpv5WPHvORC2i6oL9YAPftBnTzmt+dq\nI16F0AwQ/9L/Rmf6qsgK9lHREA0SCy0BUUjzGyBa3Oi3WIiIyhK3SVfdunUxderUYMRCVLYUXUne\n2pNl/mneU1HOnwb16w9+e6xILDJHoUlLaANG2a6bcz5nS0AYnh3rtziIiMoarkhPFCLq/LkiBeZk\nS5mny5uTH7V9s9+eqb32nkOZYdgku3NR4SqggEOIRET+xlUKiUJl129FCpTdDzn7Ff3Aj2tyiSrV\ni71uWLAeonyc355HREQ2TLqIQkwdOWA+sBT4b8J84fli4vqb/dYuERF5j0kXUYjJyUOhpAnIOKMX\nXMkr/oZiiBs7AUV6swwL1kN0/hdEpzt9CZOIiHzEOV1EYUC+MgLiWn2Cu5w6yk3tYtS6Bsi+CJw7\nDW2ibR9GrfdTvoZIREQ+YtJFFA6O7Ic6st/nZkS9RkDGWSgAouY1vsdFRER+w+FFolJO3PEAULUG\ncN1NEM2uAypWCnVIRETkBHu6iEq7hKrQJs0FNH2NCdGtJ8Q/bw9xUEREVBSTLqJSTtS8BiLK9o+y\niIoGEqqGMCIiInKGw4tEIaAOpvmlHXHDPyGatPRLW0REFFhMuogCQKUfhql/d5fX5asjfHtAbDlo\nA0dDPPBv39ohIqKg4fAiUSBY1twKFEMUROt2gX0GERH5FXu6iPxIKQW1Y4vdqvIq/0qxvV4lEsW/\nLxERlTZMuoj8KTMDcvYUa9KlDuwF8nLtqshFb/n+HCZdRESlDpMuIn8Sln+k9KRLfv6JLQHLvaz/\n/GWT78+Jiva9DSIiCir+dZnIT1T6IaBign4izcOLO7ZAQl8/Sy6eCexL9bpdbeZ/IYf0shVUrgrR\n8Q5fwyUioiBj0kXkB+riBcgJQyAeeRoAIOe+aru4Y7P+8/efS9S2iIu3O9emLoQQokRtERFR6HB4\nkcgfTCb954Vzfm1WdDCvLN8gEWjRRi9jwkVEVCqxp4vIB+rUcaBiZdvXilL69wGx5QEA2ovTADDh\nIiIqzdjTRWFP5WSHOgSX5MsDoFa9D8vEebVnh/eNJDV3eUk0u07/KQQTLiKiUo5JF4U1deSA/STy\nMKSOHrTkXMCR/d43IPWhSe3dNdBGvgZt3Ez9fMALEMmt/RQlERGFGocXKbxlZ4U6AvcO7QNM+SW/\n3zwkKTQDcG1TAIA2dAKQ6LoHjIiISh8mXRTeSsmQmnxpQMlvjo5xKBJN2cNFRBRpmHQRhZA2aS5w\n6hjk3p2hDoWIiAKMSRdRCfm0n2Kd+hCt20FcXRvq7En/BUVERGGLE+kpbKjd26Cu5NkXFhleVBln\nINd9GMSoHKn8fCjz5PeS0h58DFr33vpJ7fpArbq+B0ZERGGNSReFBZWdBTlzPNTPRfYlLJp0bf0e\nauNHQYzMkRycAvXReyW6VxvwAgwL1kM0u95aJipXgWHCLH+FR0REYYpJF4UF+dwjzsunv2RfoIX2\nV1b9+QdgMkEdOxzSOIiIqPThnC4KL+6+Vgxh0iU3bYT673z9xLICvbcaNvZfQEREVKqwp4tCThVK\nYNTmbyA36MOH6sBex8rCEKywrOSW76B2bLElXABQUOD2Pm3+OvuC2vUgKiX4OToiIiot2NNFoacK\n7Ve4/0+o/X9Cde4G+dpIx7qa3hNmGj8YOHYE2htLIK6qHJCwTNNehPbsOKj33oAqH29/8dA+t/db\nt+2pmABt9HSn63EREVHZwZ4uChn5v5VQuZdtW+gUdvSQ3ak6sBfyw3mAMP/KHjuil69YGLgA96UC\np47rx5dLtv+juOMBiDsfgEioCmG8yo/BERFRacOeLgoZtXYZRL1GQGP3292on76C+uELoE4D+/Kj\nhyC//Qzips4QseX8HqNlqLOktB59/RMIERGVeuzpopCSK94Diq7NBUDOGGN3rjLP6wfph4pUlFDL\n5wJ//uHXuFTabv1gx2a/tktERGUXky4KCZWXqx+cTAf+Puj+hp2/Oi+3LFIq/PurLN8aV/Kbr67j\nv0CIiChicHiRQkJ9/3/WY/nF2pI3dMa8hY7mv42xVfYloCC/xPeLljdCxVfwWzxERBQZmHRR6OVd\n9rkJ+fZEGBas90MwgFrl3eR87dmxQIWrIF95HuKuB6E98Jhf4iAiosjCpIuCTv3+U8kXF3XX9l97\noFpc776ipf6JdKDCVcC+XUDLthBRUVA/fe3dQxs2gYiL91vSR0REkYlzusjv1L7dME19weV1OW8q\nkHGm0A3+ScDUudOQr7+A/M3fenyPHDsQ8r3pkPOmQm3aAJWd5dUztWGTIOLi3VckIqIyjz1d5Hdq\n52/A/j2e35Bx1i/PlR++qx+Y3K8WbydXH95Uq96HSt3hl1iIiIiKYk8Xhd650/5p58RRAPbbChVH\nvj8T5htshXu2u6yvTXnXsbBqDY/DIyKiso09XeR/7jatBqC+3uD/51q+ZJSy+HqWGH7+2qv6onpN\n67E2dAJE09ZehUdERGUbe7rI/wI0Sd5T0txzpk4eg6l/d5jemQR16SKUUlB7tkP9fcD+hlPHPG5b\nG/maflCvkb/CJSKiMoI9XRRU8n8rA/6MvE8+gOHOHrZkauevQPphwGSyLnpqTZ4A65yu4ohbuukH\nDRtD3NwVIt7o56iJiCjSsaeLAkblZMM05xX7srXLStye6HA7tEFj3Fd0GowCLKvgA5Cvu/660umz\n739U/6lp0Po+W7IYiIioTGNPFwXO8SPAdn3vQiUl5FP3ed2EYcF6mPp3BwCIbj09nn9lenMcRPtb\nrecq4ywQE+vVs7VBYyBatvHqHiIiIleYdFFQyKmjfGugdTuIqjWgTh/XzxskAof2ua6/ZztUoS8R\n1eKZQKGJ8J5gwkVERP7kNuk6d+4cZs2ahczMTAgh0KVLF3Tr1i0YsVFpZf16sdBXjAfTvGujYWPg\nwF4AgDZwNFC7rl5unqMv6tSHKi7pcub0Ce/qExER+ZHbpMtgMOCxxx5D/fr1kZubi1GjRqFly5ao\nXbt2MOKjsshggLj+Zihz0iVat7Ndq1gJqFjZ42HGktJGTQ1o+0REVPa4nUhfqVIl1K9fHwBQrlw5\n1K5dGxkZGYGOi0oZlZsDVZDvl7a08e+4XOtLlIuDYfoSoNrVfnmWK6JRk4C2T0REZY9XXy+ePn0a\nR44cwbXXXhuoeKiUkoMfhvpgln2hOXHydIV4Z/eW+HoJiHt6+b1NIiIiC48n0ufm5mLGjBno27cv\nypUr53A9NTUVqamp1vOUlBQYjVzLqCRiYmJK3bu7AEA7dxpGoxGXY2KQByAuLg6XAERv+C/yvGgr\nPj4eBeXK4zLg8j2YOtyGvIvnceXrjb4Hb1bxkSdxYcN/gWKeWxaUxt+/cMF35xu+P9/w/flu5Urb\nWpLJyclITk72a/seJV0mkwlvvPEGOnbsiDZtnH/R5Sy4rKws3yMsg4xGY6l8dyaTCVlZWZBXrgAA\ncnJyAAB5B7ybRJ+dnQ3Uvxao29D1ezBWAh5+EvBj0pWVlQXUqgsc/7tUvn9/Ka2/f+GA7843fH++\n4fvzjdFoREpKSkCf4VHSNXfuXNSpU4dfLVLJmDei9oaoXQ+GMW96VrlRU2D/Hq+fYee6mwAA2nMT\ngKMHfWuLiIjICbdJ1969e/HDDz+gbt26GDlyJIQQ6NWrF1q1ahWM+KgUU4fMPVznzwb2QQaDz02I\nFnoPrqhcBahcxef2iIiIinKbdDVu3BgrVqwIRiwUYdSKhSW80cv6mqb/z5dlJAR3xCIiosDif2nI\n79TnnwT3gVHRQKUEoIL7CaTa1IXQRtjvByluvw+i2XWBio6IiAgAtwGicOTFahDamDeBSlX0JSSU\nhBz+mPN6U96FfOkpwFgRuKRPNNWeHQe5egm0nv/xR9RERETFYtJF4ceL4UVRt6HTcm3+Oqg1H0B9\nZu51s/SCGQxAnfrQBo+BaH49DM2v9zFYIiIiz3B4kSJLzWsQ0+VuCCEgrr9ZL7u2qfWy0AwQmmad\nOE9ERBQs7Oki/zGZoAoKQhqCYeJsxJnXqhH1GkGbu1q/kJcb0riIiIiYdJH/HP4LctqLoY7Cjogy\n/4pHVYA2dmZogyEiojKNw4vkXwe9W30+mMQ1DUIdAhERlWFMuoiIiIiCgEkX+V9MbKgjICIiCjtM\nusjvRKt2Prbg7ZL0RERE4Y9JF/md2vpdqEMgIiIKO0y6iIiIiIKASReFh2pXA7HlQh0FERFRwDDp\novCQUA3a1EX6cfm40MZCREQUAEy6yCtKKcgttjlbKj8fqiDfL22L+ArQ3l0DUamKX9ojIiIKJ1yR\nnryTnQX13htA204AADlxCFCxst+aF5rBb20RERGFEyZd5B0h7M9PpgMXzoUmFiIiolKESReViMrL\nBfbsMJ+ENhYiIqLSgHO6yGOm/t2Bk8cAAOqXbyDnvGK+4nvWJczDlURERJGKSRd550KG/rPwMGNe\nrk9Nitvuhdbhdp/aICIiCnccXiTvWJItUXw1l+rUB9IPW0+1tz7k+lxERFQmsKeLvGNNukr2q6ON\nfM2+ufgKEFHM/YmIKPIx6SLvmHMu9cGskt3OhU+JiKiMYtJFXirpuCIREVHZxqSLvKLSdvvchjZ+\nFtCwsR+iISIiKj2YdJFX1FfrfG5D1K4LGCv6IRoiIqLSg0kXuaSkhDp3OkCtc5iSiIjKFiZd5JLa\n8h3kC08EpG3t4f7QhowPSNtEREThiN/qk2u5l/3anLj3EdtxlWpAlWp+bZ+IiCicsaeLXDPovx5K\neb/Nj7i3t2NZYjOfQyIiIiqtmHSRU6b+3W1b/pRkmx9ni6cKzuMiIqKyi0lXBFMH9kKdP1fyBrIu\nmhvyYUPreGPJ7yUiIoogTLoimHxtJOTimSVvwNIzlbbL+3sTqkHc2BHa0Iklfz4REVEEYdIV8Twf\n0lNnThaZv6Ufy9lTIL//P+8eGxUNrf/zEPUaQtzYUS+rUcu7NoiIiCIIk64ySB36C+rQXw7lcvST\nUN99VqhiocOls0v8PK3/8zAsWA9xVaUSt0FERFTaMekqg+QrwyFfGe70mlo+z3b87ac+PMWHeWBE\nREQRiEkXBYYvk++JiIgiEJOuSMdVGoiIiMICk66yqMh6WfKDWVB7ttvOP17s+yMqcKkIIiKiwrgN\nUBlnGvAAYCoAcrKtZernr0veYINEaIPHQhiv8kN0REREkYM9XWVSoZ4uUwEAQJlMtrKcSyVvumJl\nJlxEREROMOkqi5zN85KFkq7CCRgRERH5BZOuSJe63e5UrngPkNKxnrOyEhCt2/mlHSIiokjDOV0R\nSrnorVJfrXd1h8/P1OauhojirxQREZEz7OmKQOrwX5AD7ncoN82c4PomXzbGNmPCRURE5BqTrkjk\nKoHa/bvdqal/d9vJsSMBDIiIiIjcdk3MnTsX27ZtQ8WKFTF9+vRgxEQeUFmZEMaKLi5yNXgiIqJw\n47anq3PnznjppZeCEQt5SB3ZDzmsj/XcNGsy5LefFa4R/KCIiIioWG6TrsaNGyM+Pj4YsZCH5ORh\n9gV/bIXa8p3tnDkXERFR2OGcrojErIuIiCjcMOmKRE7mdMlNG0MQCBEREVn47Rv/1NRUpKamWs9T\nUlJgNHLT45KIiYkp9t1dMP80Go1QSiETgMFgsN5zpVw55BSqX6FcLDL/Oz9g8VqEy//f7t4fFY/v\nr+T47nzD9+cbvj/frVy50nqcnJyM5ORkv7bvUdKllIJy80Wcs+CysrJKHlkZZjQaPXp3WVlZkBtX\nAABMabus98icHLt6mX3u8Fts2guvA8aKkC895TSecODp+yPn+P5Kju/ON3x/vuH7843RaERKSkpA\nn+E26Zo5cyb27NmDrKwsPP3000hJSUHnzp0DGhR5If2wY1kAl4wQDRvbF8RV8G2DbCIiojLCbdI1\nZMiQYMRR5imTCci55HrtLVeE/e7V6uJ5IPO8HyMrRo3a0CbMcrr6PREREdnjvi1hQv3faqg1S2FY\n4GpvREem/t2BeNv4vcq6CDn8sUCEBwDQXn7T/vzxoRAGAyA0QPlnw2wiIqJIxaQrXFzIcFtFXbwA\ntXqJfWG2bfxeTh3l76jsxZazP4+ODuzziIiIIgiTrhAz9e8O7d21HtWVw/9dfIXzZ/wQURGt2gE7\nNuvHheaKic7dgBq1AQDahHcAybXBiIiIisOkK4RsX4QqFF3QVL4/E7iqErQHH4PKuQRcueK+QU/q\neMOcVNnYYtR6D7Aei5rX+Pe5REREEYiLo4aSJely0kmkfv4a6scvAABySG/IEX2DE5PQIHr0AwAY\nJs8tEhR7s4iIiEqKSVcoWZMuF8mMCMH/PXX/AVxVyfk15lxEREQlxqQrlKxf/NmyGVP/7sjfsTU4\nzzevuaVNe99WVsEI0bYTtMnzHOvzC0UiIqIS45yuUHIxvGg6ekg/0DR9WYgA0XoPAAwGiEpV9POx\nM4Eq1SE0DahRy1nAAYuFiIgo0jHpCiVZeCJ9IZYepUAvclq1BkRcvO28chX780JEz37A1XUCGw8R\nEVEEY9IVSpbkSim7vCv3w8BuTi36DITW8U4n8bi+R7udq84TERH5gklXKBXz9WKgaC+8DtS/1vlF\nA6f4ERERBQr/Kxsk6kKG4/wsS0/X8SNQ334a8Bi0Nz6AaNhY37qn6LVpiyHiKgQ8BiIiorKKPV3B\nkpUJAFA52cCVPIhKCdaeLrV9c+CfH1sOwtVSEIAejxPaQ48DHW4LVFRERERlBnu6gkXoP+SrIyBH\n9IVKPwT53COBf2658ubnixLdLqrWgGjRxo8BERERlU1MuoLFstDpyXQAgDpywHYtL9d/zzEU6bw0\nf40ouqX47xlERETkNSZdwVJMT5M6eyrwj09uFfBnEBERkWsRlXSpc2egcnMC03ZBAdT5c/rxmZPW\ncrnlO6jsS+4bKG54b+evPsWmzfnEseyV+fozK1WB9uoCiLoNfXoGERER+Saiki75wuNQH8wGAKi8\nPKhjR4qtry6cg7rofgFSlZcL9cUayJH9oLIyIUc/abv23htQP33lPrb50+3b/O1Ht/c4VbchxBPD\nIe5+2FokoqOhTbFs26NPzhfVroY2fQm0IeMhqtYo2bOIiIjIbyIq6QIAlZ2l/9zwX8jxg4utK18e\nCDl5ePHt7f4dclCK9etD5F/RywsKbHW2fg+54SPrual/d6iLF6CyLkIpBSUlkH7IvuHd2zz9I9nR\n/v0MtLadIK6pr5+PnQkAENXN2/ZUsSVY4qpKLleYJyIiouCKwCUjzMN4hSanm8YMhDb+HcjZUwBN\ng2HQy+Y6lwFpctmSkhJy5gT9+OdNeuHhv/TzdcuBm7vqZUf2Qx3ZD1P6YVuv0qWLkOMG+e+PZSbq\nNdIPWraFNuJViGsaWK9pcz/R/9yH9/v9uUREROSbCEy6LAot834yHcjPA3b9BggNKvM81KpF+rX8\nKzDNfgWGZ0bb7tyxWe+l+mCWrY0cfd6W5atD9fknUJ8XmUu17WfbU83zv/xJe2u59VgYDEBist11\nERUNREUDya39/mwiIiLyTeQlXZb56qrI3jqFvhCU814D9v9pu7ZDX5xUfrVeT6SK2WhafbrKozDk\nW+M8queSsaJtSNNMxBt9a5OIiIhCJuLmdEEIyB+/hNr1m12xnDBEP7BsvVOEXLccasV7xSZcwSS6\n3D3gvX8AABKoSURBVANYhhIB63pbREREVDqVuqRL5VyCysuDafYUqELzsZSp0PGSd4CMs/px0R4v\nwGlipTau8H+wPtD+lQLDyzP0kyrVoU2aG9qAiIiIyCelbnhRDn8MSGoGpG4H8vKA8nFQR/ZDTh5m\nrlFkPSxnSVehdbZKA+2Rp4vdN5GIiIjCX1j3dKnLOVB/7bEvLMgHzujzs9T3n0N+/L79pPXdv9vX\n37M9wFH6l7jrQcdCJlxERESlXlj3dKmls6F+/QGGBesh502FuO1e++sfL9Z/fvuZyzYsSz6ErQaJ\nwKF9+nG1qyG690b8zV1w2XxZe2cFhGXTaiIiIiq1wjvp+vUH2/HvPwEJVfWT08ftK/pzw+hg+UcS\ncDAN4pa7IB4fBlzIgEhqBgCIatQEyNIXeWXCRUREFBnCOulykOPBHodhTLTvAvXz1wAAw4vT7C/W\nqBWCiIiIiChYwnpOV1Hqp69DHYJT2qQ59ucjXrU/HzRG3zOx+fXBDIuIiIjCSFj2dMl1HwJX1w51\nGE6JRwZALTdvLt3sOhiGjNePE5OBfal6nUIrxYvHh0G0bANDyzYAAMMN/wxmuERERBQmwjLpUhs/\nAmLLWc9N/bsHN4C6/4Bo3ALqi7XWInFvb6Dq1dDa3QJZPh7qvTdsCRcAmNcJ04boK9FrL7wO+dpI\naO1uCWLgREREFK7CJulSBQXA8b+B/Ct6QZAnx2tzPgaEBjniMYgbO0K74wGYLElXg0Rodz9srSvK\nx6Ho6l/aowOBMychmulDiKJhY2jz1gQpeiIiIgp3Qjldst0/jh8/7r6Smfz2M6jl/ll1XfToB/Xx\n+7aCuApAfAVoL0zVF1cFgKTmQNouaEMnAo2aQMTEOm1LnTgKlI+HqJRgK1MKOH0CIkCT341GI7LM\nXy+S9/j+fMP3V3J8d77h+/MN359vatUK/AdtYdPThdycEt1W+ItAa1mnO4Ej+6EOpkEb9zagGfTy\n2Fhoby0HjhwAEpsBl7MhjBWLb7/mNY5lQvBrQyIiIvJK+CRdhfZO9Ia4t7eedCU1h2jaCmrNUiAq\nGqL/8xBKQWj2H2iKeCPQtJV+4ibhIiIiIvKXsEm61K7fXF+s1wg4sh/a/HWAlJCTh0J0uQeiUROI\nhGpAUnNodz4I0ew6yGo1AYNB740SwnWbREREREEUsqRL5eUCpgKgIN82z8qZSgkQN3eBOrJfT6QM\nBhjGvW1XxfD8FOux1oZLMhAREVH4CVnSJd+ZBKTtgrj1bpd1tElzIK6uAyUlRLvOQYyOiIiIyL9C\nN7yYtkv/WWQIUPR6Erh4AaL5DRBX19HLNA0oHxfsCImIiIj8JuhJl5ISSD9sO/96g9110eEOiOjo\nIEdFREREFFjBT7q2fg+1cIbTa9qcT5hwERERUUQK6obXcvO3rhOuZ0Yz4SIiIqKIFbSkS51Md5lw\noV4jiFbtghUKERERUdAFbXhRjhnoWFiuPLQnngeSWwUrDCIiIqKQCErSpfLy7M7FkyMhWrSBiHW+\n3yERERFRpAlOT1fmOeuh9vQLENe1D8pjiYiIiMKFR0nXjh07sHjxYiil0LlzZ9x3330eP0CdOg71\n1XpbAeduERERURnkNumSUmLhwoUYO3YsKleujBdffBFt2rRB7dq13TauLp6HfHmA9VybtcphA2oi\nIiKissBtBrR//37UrFkT1apVQ1RUFG6++Wb8+uuvHjVeeE9FbcIszuEiIiKiMstt0pWRkYEqVapY\nzxMSEpCRkeH5E66qBO3dNRC16pYoQCIiIqJIENCJ9IYF691XIiIiIioD3CZdCQkJOHv2rPU8IyMD\nCQkJDvVSU1ORmppqPU9JSUGtWrX8FGbZYzQaQx1Cqcb35xu+v5Lju/MN359v+P58s3LlSutxcnIy\nkpOT/dq+2+HFRo0a4eTJkzhz5gwKCgrw008/4YYbbnCol5ycjJSUFOv/CgdO3uG78w3fn2/4/kqO\n7843fH++4fvzzcqVK+3yGH8nXIAHPV2apuHxxx/H5MmToZTCrbfeijp16vg9ECIiIqJI5tGcrlat\nWmHmzJmBjoWIiIgoYgVs0axAdMuVFXx3vuH78w3fX8nx3fmG7883fH++Ccb7E0opFfCnEBEREZVx\nXB6eiIiIKAiYdBEREREFgd8XR/Vlc+xIcu7cOcyaNQuZmZkQQqBLly7o1q0bLl26hLfeegtnzpxB\n9erVMXToUMTFxQEAFi1ahB07diA2NhbPPPMM6tevDwD49ttvsWbNGgDAAw88gE6dOgEADh48iDlz\n5iA/Px+tW7dG3759Q/FHDSgpJV588UUkJCRg1KhROH36NGbOnIlLly6hQYMGGDx4MAwGAwoKCjBr\n1iwcPHgQRqMRQ4cORdWqVQEAa9aswTfffAODwYC+ffuiZcuWACL/dzUnJwfz5s3D0aNHIYTA008/\njZo1a/L3zwMbN27EN998AyEE6tati4EDByIjI4O/ey7MnTsX27ZtQ8WKFTF9+nQACMq/64p7Rmni\n7P0tW7YMv//+O6KiolCjRg0MHDjQ+mfz9veqJP/eLE2cvT+LDRs2YNmyZVi4cCEqVKgAIMS/f8qP\nTCaTGjRokDp9+rTKz89Xzz//vEpPT/fnI0qN8+fPq0OHDin1/+3df0xV9R/H8ee9l5JxYfdyQSbq\nGAJSGT9SpJq/SPujpf7RatlqY4Psp5DaGhX901xNYaVGAmqOsElb5SYu/2i1BUgJbl1+DSJEGlhU\nyI8LxL0Xw8v9fP+440664MAvHALej83Nfe6559zz9sXh7flxP0qp4eFhtXfvXtXZ2anOnDmjzp8/\nr5RSqrS0VJWUlCillKqtrVUHDx5USinV2tqq3nnnHaWUUkNDQyozM1M5HA5lt9u9f1dKqezsbHX1\n6lWllFIHDx5UdXV1Wu6iJi5cuKDy8vJUTk6OUkqpI0eOqKqqKqWUUp988on67rvvlFJKffvtt+rU\nqVNKKaUuXbqkjh49qpRS6vfff1dZWVnK5XKp69evq8zMTOV2uxdFVvPz81VZWZlSSimXy6UcDofk\nbwr6+vpURkaGunnzplLKk7ny8nLJ3m388ssvqr29Xb3xxhveMS2yNtk25puJ6tfQ0KBGR0eVUkqV\nlJSozz//XCl1Z7mabnbnm4nqp5RSvb296v3331d79uxRQ0NDSqm5z9+MXl78fybHXmjMZrO3e/b3\n92fFihX09fVhtVq93fMjjzyC1WoF4KeffvKOr169GqfTycDAAA0NDSQkJBAQEIDRaCQhIYH6+noG\nBgYYHh4mJiYGgC1btiy4Wvf19VFXV8ejjz7qHWtqauKhhx4CICUlxbvPt9bv4YcfpqmpCQCr1cqG\nDRswGAyEhYURHh5OW1vbgs+q0+mkpaWFrVu3AmAwGAgICJD8TZHb7ebGjRuMjo4yMjKCxWLh559/\nluxN4t5778VoNI4b0yJr/97GfK3jRPVLSEhAr/f8il69ejV9fX3AneVqqsfNxsZGTfZ3pk1UP4DP\nPvuM1NTUcWNznb8Zvbw40eTYbW1tM7mJeam7u5tr164RGxvL4OAgZrMZ8DRmAwMDwOQTi091PCQk\nZHoTkc8DYz8wTqcTgKGhIQIDA70Holv3+dZ66PV6AgICsNvt2Gw2YmNjvescq59SakFntbu7m6Cg\nIAoLC7l27RpRUVGkpaVJ/qbAYrGwc+dO9uzZw5IlS0hISGDVqlUYjUbJ3jRokbV/b2NwcHDW92su\nlJeXs3HjRoBp52o6x02j0YjdbvdehpvPrFYrISEhREREjBuf6/zJjfSz7MaNGxw5coS0tDT8/f19\nXtfpdHPwqf77xq7PR0ZGom75VhM1xW84mepyC5Xb7aa9vZ3HHnuM3NxclixZwvnz532Wk/z5cjgc\nWK1WCgsLOXnyJP/88w/19fVTfv9iz95ktMjaQszzuXPnMBgMbNq06Y7XsdiOmyMjI5SWlrJr1y5N\ntzuV/M1o0zXVybEXi9HRUQ4fPsyWLVtITk4Gxv+Pb2BgAJPJBHhqN3b6GDyX1iwWi09Nbx2faPmF\noqWlBavVSmZmJnl5eTQ1NVFcXIzT6cTtdgPj9/nWerjdboaHhwkMDLxt/RZyVi0WCyEhIURHRwOe\nSwft7e2SvylobGwkLCzMe3bgwQcf5MqVKzgcDsneNGiRtcm2sVBUVFRQV1fHvn37vGPTzVVQUNC0\nszvfdXV10d3dTVZWFhkZGdhsNt566y0GBwfnPH8z2nRNdXLsxeL48eOsXLmS7du3e8eSkpKoqKgA\nPD9QY/VZv349Fy9eBKC1tRWj0YjZbCYxMZHGxkacTid2u53GxkYSExMxm80EBATQ1taGUorKykpv\nY7cQPPfccxw/fpz8/Hz2799PXFwce/fu5f777+fy5csAXLx4ccL6VVdXExcX5x2vqqrC5XLR3d1N\nV1cXMTExCz6rZrOZkJAQ/vzzT8DTSKxcuVLyNwWhoaFcvXqVkZERlFLe2kn2bk8pNe5MiRZZm2wb\n89G/61dfX8/XX3/Nm2++yV133eUdn06uxuoUFxc3rezOR7fWLyIiglOnTpGfn09BQQEWi4Xc3FxM\nJtOc52/Gv5G+vr6e4uJi7+TY8/1R6DvV0tLCu+++S0REBDqdDp1Ox7PPPktMTAxHjx6lt7eXpUuX\n8vrrr3tvACwqKqK+vh5/f39effVVoqKiAM8/5rlz59DpdD6PsRYUFHgfY01PT5+z/Z1Nzc3NXLhw\nwfuVER999BEOh4PIyEhee+01/Pz8uHnzJseOHaOjo4OgoCD27dtHWFgY4Hm8uqysDD8/P5/Hqxdy\nVjs6Ojh58iQul8v7yLnb7Zb8TcHZs2epqqrCYDAQGRnJK6+8gs1mk+xNIi8vj+bmZoaGhjCZTOza\ntYvk5ORZz5rdbp90G/PJRPUrLS3F5XIRFBQEeG76fuGFF4Dp5+pOjpvzyUT1G3uICCAzM5OcnBzv\nWby5zJ9MAySEEEIIoQG5kV4IIYQQQgPSdAkhhBBCaECaLiGEEEIIDUjTJYQQQgihAWm6hBBCCCE0\nIE2XEEIIIYQGpOkSQvxnHDp0iMrKyhld59mzZzl27NiMrlMIIe7EjE54LYQQABkZGQwODmIwGFBK\nodPpSElJ4fnnn7/t+7Kzs2fl8yzEOfmEEPOPNF1CiFnx9ttvz+tpRYQQYqZJ0yWE0ExFRQXff/89\nq1atorKykuDgYHbv3u1tzg4cOMDmzZvZtm0bXV1dnDhxgo6ODvz8/IiLi2P//v0AXLlyhdOnT9PV\n1UV4eDhpaWnExsYCnilPCgsLaW9vJzY2lvDw8HGfobW1lTNnztDZ2cnSpUtJS0tjzZo12hZCCLEo\nyT1dQghNtbW1sWzZMj799FOefvppPvzwQxwOh89yX375JYmJiZw+fZoTJ07w+OOPA575znJyctix\nYwdFRUXs2LGDQ4cOYbfbAfj444+Jjo6mqKiIJ5980ju5LYDNZiM3N5ennnqK4uJiUlNTOXz4MEND\nQ9rsvBBiUZOmSwgxKz744APS09O9f8rKygAwmUxs374dvV7Phg0bWL58ObW1tT7vNxgM9PT0YLPZ\n8PPz45577gGgtraW5cuXs2nTJvR6PRs3bmTFihXU1NTQ29vLr7/+yjPPPIOfnx/33XcfSUlJ3nX+\n8MMPrF27lgceeACA+Ph4oqKiqKur06AiQojFTi4vCiFmRVZWls89XRUVFVgslnFjoaGh9Pf3+7w/\nNTWVL774guzsbAIDA9m5cydbt26lv7+f0NBQn3XYbDb6+/sJDAzk7rvv9nkNoKenh+rqampqaryv\nj46Oyr1nQghNSNMlhNDUWAM0pq+vj+TkZJ/lTCYTL7/8MgAtLS289957rFmzhuDgYHp6enzWsXbt\nWoKDg7Hb7YyMjHgbr97eXvR6z0n90NBQUlJSeOmll2Zj14QQ4rbk8qIQQlODg4N88803jI6OUl1d\nzR9//MG6det8lrt8+bK3QTMajej1enQ6HevWreOvv/7i0qVLuN1uqqqq6OzsJCkpidDQUKKjo/nq\nq69wuVy0tLSMO6u1efNmampqaGhowO12MzIyQnNzs08jKIQQs0GnlFJz/SGEEAtLRkYGf//9N3q9\n3vs9XfHx8axfv56ysjIiIyOprKzEbDaze/du4uPjgfFPL5aUlPDjjz8yPDyMyWTiiSeeYNu2bYDn\n6cXi4mKuX7/OsmXLSE9PH/f0YkFBAR0dHd6nF51OJ5mZmYDnRv6SkhJ+++03DAYD0dHRvPjii4SE\nhMxNsYQQi4Y0XUIIzVRUVFBeXs6BAwfm+qMIIYTm5PKiEEIIIYQGpOkSQgghhNCAXF4UQgghhNCA\nnOkSQgghhNCANF1CCCGEEBqQpksIIYQQQgPSdAkhhBBCaECaLiGEEEIIDUjTJYQQQgihgf8BSP8Y\nstaVxU8AAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fcb33786550>"
]
},
"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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cpphs9RTffWVRIED6JC7+9z7k5YiKveqrkqVS9MhK6U4oXog666ZaERx4MSbl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\navuVtH+Pr/zX/Qmbjv4Y8cj3Pg55xDjf333OgtS9T9Q6Use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XroSvry8AICMjA1lZWRBF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\ncSEUnBFCCCGEuBAKzgghhBBCXMj/A8IT2Tt72cyIAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fcb33900cc0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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MpS4VTo3eOB43GgL5bAM6/OonWZMJYjOzg0D2Rw2YvW8/940MhIw6AHzPLuPB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\nQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fcb338ef940>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Policy and Value Function Training Loss\n",
"df_plot(data, '_Episode', ['ValFuncLoss'])\n",
"df_plot(data, '_Episode', ['PolicyLoss'], ylim=(-0.1, 0.1))"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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Vffr0AQCMHj0ao0ePjnomiYiIiBJV2GAsJycHOTk5AIC0tDR06NABJSUlAAApZXRzR0RE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\nxoIFC3D06FGcddZZKCgoQLdu3QD4ln955ZVXsG/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"text/plain": [
"<matplotlib.figure.Figure at 0x7fcb3394c208>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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8efM6t5cAANgGJwQgvDrthIDLLrtMixYt0k9/+lP993//d2etFgAAe2HCB2EW\ncOTM7XarpqbGWvb5fHK73W22HzdunJ588slWX/N6vfJ6vdZyXl6enO+XyfXjn3Wkz13SoVf+W/6a\nrzr2HmeMYv2NYepRO8T2UK8f/1yOuLjI9SEEcXFxcrlcke5GVKJ2oaF+oYl0/fwNB1TrdEblzzDS\ntesKSkpKrMcej0cej6fTtxEwnKWnp6uqqkrV1dVKTExUaWmpCgoKmrWpqqrSKaecIknatGmTUlJS\nWl1Xax+i8eMPVVtbG2z/u4zGF5fKcdHlUq/e7X5Pz569dPhQQxh7dXzmf1/QkXMmyDGg9Z+33blc\nLva9IFG70FC/0ES6fqauTsaYqPwZRrp20c7lcikvLy/s2wkYzpxOp/Lz81VYWChjjHJzc5WamqqS\nkhKlpaUpMzNTr776qj744APFxsYqPj5eU6dObX8PeseH0v+uwxg5cq6Uw9W33W/p5XLpSAT/kzWu\neUWM7wPoljjmDGHUruucjR49WgsXLmz23DeT45QpU0LoAr/cjzGKyrN/+PEB6G64sw3CLPJ3CPCz\nk0s6Vodoy2YOh2T8ke4FAABdSuTDGUMv/2Akhw1+HB3hcPLjA9D9cG9NhFnk0wDDw8dE46ymQyKd\nAeh+CGcIL8KZXRi/ojKdMS0NAECnIpzZhZHkjLJw5nCIkTMA3Y4RI2cIq8iHM365/0MUzms6HIRr\nAN0P33sIs8iHM3byY4w/+v4SI5wB6Jai8I9pRBXCmV1E4zA54QxAdxVt39eIKjYIZ5HugE1E5anZ\nHHMGoBti4AxhZoNwxkVMJf1jBCrK/rc7xMgZgG4oCr+vEVUiH87wD9F6hwDCGYBuhu89hJktwplh\nR//HtKYtfhztxx0CAHRH0XiMMKJK5NMAoy/HRO0oOT87AAA6U+TDmQhnkqLzDgEOh+TnmEEA3U00\nnsCFaBL5cOYknFmi7T97tPUXADpDVJ5dj2gS+XDG5RisY+4c0fafnSlpAN0S33sIr8iHMy7HEJ13\nB5AIZwC6J772EGY2CGdOfsFH65k/hDMA3VU0fmcjatggnIm/QqL2+AV+eAC6oWi8aDiiSuTDmRzc\nJSBa/6MzJQ2gW4rCi4YjqkQ+nDmcYvQlSkfOmJIG0B3xtYcws0E4Ezt6tE5rcswZgG4pSr+zETVi\n29OovLxcxcXFMsYoJydHEydObPb6yy+/rFWrVikmJkYnnXSSbrrpJvXv3799PXAwrXksnEW6E0Ei\nnAHolqLNsCmtAAARRUlEQVT1SxvRIGA48/v9Kioq0rx585SYmKg5c+YoKytLgwYNstoMGTJE3/3u\ndxUXF6fXX39dy5Yt0y233NK+HjgcjJxF4301JcnJlDSAbihaZzsQNQImgoqKCqWkpCg5OVmxsbHK\nzs5WWVlZszbDhg1TXFycJCkjI0M+n68DXWBeM4pvrMmPDkD3w/cewixgOPP5fEpKSrKW3W73ccPX\nqlWrNHr06Pb3wOGQ/N18T/dH6bQmU9IAuqVu/jsLYdepc2lr167VZ599ph/84Aftf5ODkbNjB5dG\n4bQmU9IAuiumNRFGAY85c7vdqqmpsZZ9Pp/cbneLdu+//75WrFihO++8U7Gxra/W6/XK6/Vay3l5\neXL2iZd/7o1yOLvvjm78Ro7eveVyuTr0vri4uA6/pzMdSDhJRx6fL0cbP2+728eUetCoXWioX2gi\nXT/T2KjYtDOVEMHv32BF+vdGV1BSUmI99ng88ng8nb4NhzHHP93O7/eroKCg2QkBBQUFSk1Ntdrs\n2LFDDzzwgObOnatTTjmlQx2o/HyHdORIcL3vSnr0kCOuZ4fe4nK5VFtbG6YOBWaOHpUONURs+6FK\nSEhQXV1dpLsRlahdaKhfaGxRv7iecvToEdk+BCHSvzei3cCBA0/IdgIOeTidTuXn56uwsFDGGOXm\n5io1NVUlJSVKS0tTZmamli1bpkOHDunBBx+UMUb9+/fX7bff3q4OOOJ6Sh0MJbAHR2ysFJsQ6W4E\nzZngkoPBi6BQu9BQv9BQP3R1AUfOwu3vf/97JDcf1fgLKDTUL3jULjTULzTUL3jULjQnauQsCo9C\nBwAA6LoIZwAAADZCOAMAALARwhkAAICNEM4AAABshHAGAABgI4QzAAAAGyGcAQAA2AjhDAAAwEYI\nZwAAADZCOAMAALARwhkAAICNEM4AAABshHAGAABgI4QzAAAAGyGcAQAA2AjhDAAAwEYIZwAAADZC\nOAMAALARwhkAAICNEM4AAABshHAGAABgI7HtaVReXq7i4mIZY5STk6OJEyc2e/2jjz5ScXGxvvji\nC91yyy0699xzw9JZAACAri7gyJnf71dRUZHmzp2rBQsWqLS0VJWVlc3aJCcna+rUqbrgggvC1lEA\nAIDuIODIWUVFhVJSUpScnCxJys7OVllZmQYNGmS16d+/vyTJ4XCEqZsAAADdQ8CRM5/Pp6SkJGvZ\n7XbL5/OFtVMAAADdFScEAAAA2EjAaU23262amhpr2efzye12B7Uxr9crr9drLefl5WngwIFBrQvH\nuFyuSHchqlG/4FG70FC/0FC/4FG70JSUlFiPPR6PPB5Pp28j4MhZenq6qqqqVF1draNHj6q0tFRj\nx45ts70xps3XPB6P8vLyrH/f/IDoOOoXGuoXPGoXGuoXGuoXPGoXmpKSkmY5JhzBTGrHyJnT6VR+\nfr4KCwtljFFubq5SU1NVUlKitLQ0ZWZm6tNPP9X999+vAwcOaNOmTXrhhRe0YMGCsHQYAACgK2vX\ndc5Gjx6thQsXNnsuLy/PepyWlqYlS5Z0bs8AAAC6oYieEBCu4cDugvqFhvoFj9qFhvqFhvoFj9qF\n5kTVz2GOd5AYAAAATigupQEAAGAjhDMAAAAbadcJAeEQ6Gbq3cWePXv0yCOPaN++fXI4HLr44ot1\nxRVXqK6uTg899JCqq6s1YMAAzZw5U3369JEkPfXUUyovL1fPnj01depUDR48WJK0Zs0aLV++XJL0\nox/9SBMmTJAkffbZZ3r00Ud15MgRjRkzRlOmTInERw0bv9+vOXPmyO12a/bs2dq9e7cWLlyouro6\nnX766Zo+fbpiYmJ09OhRPfLII/rss8/kcrk0c+ZM69Zjy5cv1+rVqxUTE6MpU6Zo1KhRkrr+flpf\nX6/HHntMX375pRwOh2666SalpKSw77XTyy+/rNWrV8vhcOjUU0/VzTffLJ/Px/7XhiVLlmjz5s3q\n27ev7r//fkk6Id91x9tGNGmtfsuWLdOmTZsUGxurk08+WTfffLP12Tq6XwXz3RktWqtdk5UrV2rZ\nsmUqKipSQkKCJBvseyYCGhsbzbRp08zu3bvNkSNHzG233WZ27twZia5E3Ndff2127NhhjDHm4MGD\nZsaMGWbnzp1m6dKlZsWKFcYYY5YvX26WLVtmjDFm8+bN5q677jLGGLN9+3bz61//2hhjTG1trZk2\nbZo5cOCAqaursx4bY8ycOXPMJ598Yowx5q677jJbtmw5kR8x7FauXGkWLlxo7rnnHmOMMQ888IBZ\nt26dMcaYJ554wrz++uvGGGNee+018+STTxpjjCktLTUPPvigMcaYL7/80syaNcscPXrUfPXVV2ba\ntGnG7/d3i/30kUceMatWrTLGGHP06FFz4MAB9r122rNnj5k6dao5cuSIMebYfrd69Wr2v+P46KOP\nzI4dO8yvfvUr67kTsb+1tY1o01r93nvvPdPY2GiMMWbZsmXm2WefNcYEt191dN+NJq3Vzhhjampq\nTGFhobn55ptNbW2tMcYe+15EpjW/eTP12NhY62bq3VG/fv2sRN6rVy8NGjRIe/bs0caNG61EftFF\nF2njxo2SpLKyMuv5M844Q/X19dq7d6/ee+89jRw5Un369FF8fLxGjhyp8vJy7d27VwcPHlR6erok\nafz48V2q1nv27NGWLVt08cUXW899+OGHOvfccyVJEyZMsD7vN2t33nnn6cMPP5Qkbdy4UePGjVNM\nTIwGDBiglJQUVVRUdPn9tL6+Xtu2bVNOTo4kKSYmRn369GHf6wC/36+GhgY1Njbq8OHDcrvd8nq9\n7H9tOPPMMxUfH9/suROxv317G9Fax9bqN3LkSDmdx36Vn3HGGdqzZ4+k4Par9n53fvDBByfk83am\n1monSc8884wmT57c7Dk77HsRmdZs7WbqFRUVkeiKrezevVt/+9vflJGRoX379qlfv36SjgW4vXv3\nSmr7RvTtfT4pKalL3bi+6T9WfX29JKm2tlYJCQnWl9U3P+83a+F0OtWnTx/V1dXJ5/MpIyPDWmdT\n7YwxXXo/3b17t1wulx599FH97W9/05AhQzRlyhT2vXZyu9363ve+p5tvvlk9e/bUyJEjdfrppys+\nPp79rwNOxP727W3s27cv7J8rElavXq3s7GxJ6vB+1ZHvzvj4eNXV1VlTgNFq48aNSkpK0qmnntrs\neTvse5wQYBMNDQ164IEHNGXKFPXq1avF6w6HIwK9srem4wcGDx7c7LZhpp1Xh2lvu67K7/drx44d\nuuyyyzR//nz17NlTK1asaNGOfa91Bw4c0MaNG/Xoo4/q8ccf16FDh1ReXt7u93f3/a8tJ2J/64r7\n9IsvvqiYmBhdcMEFQa+jO313Hj58WMuXL292Qf0Tob37XkTCWWfeTL0raGxs1IIFCzR+/HhlZWVJ\nav4X5N69e9W3b19Jx2rXNGwtHZvWc7vdLWr6zedba98VbNu2TRs3btS0adO0cOFCffjhh3r66adV\nX18vv98vqfnn/WYt/H6/Dh48qISEhOPWrivvp263W0lJSUpLS5N0bLpix44d7Hvt9MEHH2jAgAHW\naMM555yjjz/+WAcOHGD/64ATsb+1tY2uYs2aNdqyZYsKCgqs5zq6X7lcrg7vu9GsqqpKu3fv1qxZ\nszR16lT5fD7Nnj1b+/bts8W+F5Fw1tGbqXd1S5YsUWpqqq644grruczMTK1Zs0bSsf94TfUZO3as\n3n77bUnS9u3bFR8fr379+mnUqFH64IMPVF9fr7q6On3wwQcaNWqU+vXrpz59+qiiokLGGK1du9YK\ngNHuJz/5iZYsWaJHHnlEt9xyi4YPH64ZM2bI4/Ho3XfflSS9/fbbrdZu/fr1Gj58uPX8unXrdPTo\nUe3evVtVVVVKT0/v8vtpv379lJSUpL///e+SjoWN1NRU9r126t+/vz755BMdPnxYxhirfux/x2eM\naTbyciL2t7a2EY2+Xb/y8nL9z//8j26//Xb16NHDer4j+1VTnYYPH96hfTfafLN2p556qp588kk9\n8sgjWrx4sdxut+bPn6++ffvaYt+L2B0CysvL9fTTT1s3U4/2U8SDtW3bNv3ud7/TqaeeKofDIYfD\noWuvvVbp6el68MEHVVNTo+TkZM2cOdM6mLGoqEjl5eXq1auXbrrpJg0ZMkTSsR/8iy++KIfD0eIU\n38WLF1un+F533XUR+7zhsnXrVq1cudK6lMZDDz2kAwcOaPDgwZo+fbpiY2N15MgRLVq0SJ9//rlc\nLpcKCgo0YMAAScdOOV+1apViY2NbnHLelffTzz//XI8//riOHj1qnYbv9/vZ99rphRde0Lp16xQT\nE6PBgwfrxhtvlM/nY/9rw8KFC7V161bV1taqb9++ysvLU1ZWVtj3t7q6uja3EU1aq9/y5ct19OhR\nuVwuSccOYP+3f/s3SR3fr4L57owWrdWu6WQoSZo2bZruuecea0Qw0vset28CAACwEU4IAAAAsBHC\nGQAAgI0QzgAAAGyEcAYAAGAjhDMAAAAbIZwBAADYCOEMQNS5++67tXbt2k5d5wsvvKBFixZ16joB\nIBgRufE5AEjS1KlTtW/fPsXExMgYI4fDoQkTJugXv/jFcd83Z86csPSnK95zEUD0IZwBiKg77rgj\nam8HAwDhQDgDYDtr1qzRW2+9pdNPP11r165VYmKi8vPzrRB355136sILL1Rubq6qqqr02GOP6fPP\nP1dsbKyGDx+uW265RZL08ccfq7i4WFVVVUpJSdGUKVOUkZEh6ditah599FHt2LFDGRkZSklJadaH\n7du3a+nSpdq5c6eSk5M1ZcoUDRs27MQWAkC3xDFnAGypoqJCp5xyip566ildc801uv/++3XgwIEW\n7Z5//nmNGjVKxcXFeuyxx3T55ZdLOnZPu3vuuUdXXnmlioqKdOWVV+ruu+9WXV2dJOnhhx9WWlqa\nioqK9KMf/ci60bEk+Xw+zZ8/Xz/+8Y/19NNPa/LkyVqwYIFqa2tPzIcH0K0RzgBE1H333afrrrvO\n+rdq1SpJUt++fXXFFVfI6XRq3LhxGjhwoDZv3tzi/TExMaqurpbP51NsbKyGDh0qSdq8ebMGDhyo\nCy64QE6nU9nZ2Ro0aJA2bdqkmpoaffrpp5o0aZJiY2N11llnKTMz01rnX/7yF40ZM0ajR4+WJI0Y\nMUJDhgzRli1bTkBFAHR3TGsCiKhZs2a1OOZszZo1crvdzZ7r37+/vv766xbvnzx5sp577jnNmTNH\nCQkJ+t73vqecnBx9/fXX6t+/f4t1+Hw+ff3110pISFBcXFyL1ySpurpa69ev16ZNm6zXGxsbOTYO\nwAlBOANgS01BqcmePXuUlZXVol3fvn11ww03SJK2bdum//iP/9CwYcOUmJio6urqFusYM2aMEhMT\nVVdXp8OHD1sBraamRk7nscmE/v37a8KECbr++uvD8dEA4LiY1gRgS/v27dMrr7yixsZGrV+/XpWV\nlTr77LNbtHv33XetIBcfHy+n0ymHw6Gzzz5bu3btUmlpqfx+v9atW6edO3cqMzNT/fv3V1pamkpK\nSnT06FFt27at2SjZhRdeqE2bNum9996T3+/X4cOHtXXr1haBEQDCwWGMMZHuBIDuaerUqdq/f7+c\nTqd1nbMRI0Zo7NixWrVqlQYPHqy1a9eqX79+ys/P14gRIyQ1P1tz2bJleuedd3Tw4EH17dtXEydO\nVG5urqRjZ2s+/fTT+uqrr3TKKafouuuua3a25uLFi/X5559bZ2vW19dr2rRpko6dkLBs2TJ98cUX\niomJUVpamn75y18qKSkpMsUC0G0QzgDYzpo1a7R69Wrdeeedke4KAJxwTGsCAADYCOEMAADARpjW\nBAAAsBFGzgAAAGyEcAYAAGAjhDMAAAAbIZwBAADYCOEMAADARghnAAAANvL/EMq6UyXgNLYAAAAA\nSUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fcb336b1470>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"df_plot(data, '_Episode', ['Beta'])\n",
"df_plot(data, '_Episode', ['_lr_multiplier'])\n"
]
}
],
"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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