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OpenAI Gym HumanoidStandup
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Proximal Policy Optimization: HumanoidStandup-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 **5** 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/HumanoidStandup-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 = 3.52e+05 around Episode 77335\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)*5))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Training Curves"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"scrolled": true
},
"outputs": [
{
"data": {
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+S7vCRS393gwVf5nfyxS+KdXq2sjISNq3b8++ffvIysrCNE0MwyA1NZWYmBjA\n3hNXcG2aJjk5OURHRxMTE8PJkycdZRXk0Vo7paelpRETE4PVanVbR3HJyckkJyc7rocPH47Vai3V\nF1EdhIWFyXvXIPLeFUtrjS3lR0JatyfjtxRsmWcqvE5RNtHR0dSEPx2r1UqGYcHmY/66b3xCxt8e\nwPbj9x7LTAeMJhdhfex5lFKkj+jnNl9RRpMLMQ//USJv5ANPkb3wKcd1WFgY51zUHdLpT+SVYlFS\ndf/3bvXq1Y7P8fHxxMfHl7tMr0HemTNnCAkJITIykvPnz7Nr1y4GDRpEfHw8W7ZsoVevXmzcuJGu\nXe0TQrt27crGjRtp3bo1mzdvpkOHDo70RYsWMXDgQNLS0jh69CitWrVCa83Ro0c5ceIE9erVY9Om\nTTzwwAMAdOjQwWUdxbn6MjIyakrXfSGr1SrvXYPIe1cMfWAfqkUb9LHDmE/ehzH3DcyUHyusvhor\nthGcOOqXojIzM/1STlWXkZGBzZbnU17L0o/s/51MfQbjbDbmpBFuywQwlXL9PYaFw/lzLv+b0y3a\nYNwyFnPxM07p5+K7OF2fP5cf4tWtD+mF5zXn5eX69C7F21odWa1Whg8f7vdyvQZ56enpLFmyBNM0\n0VrTq1cvunTpQtOmTVm4cCGrVq2iefPm9O/fH4D+/fvz4osvMnnyZKxWK1OmTAGgadOm9OzZk4SE\nBEJCQhg/fjxKKZRSjBs3jpkzZ6K1pn///sTFxQEwevRol3UIIYQ/aNMGZ3MgLBwVEoo+m405+yGM\n+Ssd+5GZD98Z4FYKUU5eZj6pawdD0xYu7xnT5njYm0+hOnUrvBo7Bb0i0X09Hbqgv/2i8LpRU3Ty\nDlSPfugtGzw3UpSJ1yDvoosuYs6cOSXSGzRowOzZs0ukh4aGMnXqVJdlDRkyhCFDhpRI79y5M4mJ\nJf9iuKtDCCHKw/xyHarXVei1b6M3/BMA455H0afsU0fMNxeBzddBMVEm5ZlzbbGU7c+n8YVwpOTw\nos9iYiHtRJkeVYNGo9e9Xfa6K5Ax7K/OCRe1hN9/tn9u2MT3RRfFt1np0hO2b3ZcqhF3OQd5Q8ag\n+lyP/vSDsjRb+EDOrhVC1Dh61XLMKaMcAR6A/vlH9LtL7Rffb4Xd/wtQ64RXjS8MSLWqTYcSacZz\ny90/0KBJ4efYRhXQoiJata/Y8ovr0gv1pyuLJToH7ioy2mMRKjwCJefxVigJ8oQQAtCfrw10E2qW\nINg9oWQQxHzoAAAgAElEQVQQ4yJP/Vho5DpQUe07F35udYnf2uWyruat3N8s/l03ivO9YMP1KVPG\n3Q87vZ/rRhUM8+bX7+cT2YR3EuQJIaotbbOhcwsnd2vThv79lwC2SJRZXLPKra9lO9QNwxyXxn2P\ne8jsQ8AaXRs1zP38TtXvBvsHL71fXqtyFXCGhTldWp552Ush+fmWfoQKDfUpL1AymCy+hYu3tjfz\nEKiKMpEgTwhR7eijh9DpqZhL52I+OsGedu4cet07mM88EODWCQBj5F2lyz/1aVCl/5VlvLqm1M8A\noDUqrhmq7w1le95VW64d4nZY1WuvWPH83a7AsvQjF3dKRlIqJLRk3laXeAw6y8uY/Rpq8GjfMgdB\nr26wkiBPCFHtmE/egzn//+CPA3A6DduEm9GffoD+13uBbpoo0KBxqbKr2vVQt423f27t+/wzZVjg\noovzL8owXliBQ4zqimv9V1gpAyXLtDn2oLOCqNhGqNAwNzcl9Kgs8k0LIaoNp+HZ8+ecfpnoT94N\nUKuEvxmjJhZeXNLJa37LkwvLXJe67lbvmYrGV3WKbNpfjgAxpNOffKisovhQR3maUZo5gaJcJMgT\nQgQN/et+bId+d5lufvQPzIlDMB+zD8+SkwXHfD+CUVQxnbv7lE1d0rnMw33GpCe9lx8T6z1Pi9Y+\n1FZsEUKBDpcXy2bPZ1T0atxyMB5+FmVxsSDD3Z+DLvHBWVl6WIVPJMgTQgQNc9aDZM580GW6/vgf\n9ov0NPvP7KxKbJnwSct2RS6cf7GrK69zfDYmTsficaFDkecalm7Y18nFbe1lDLyt7GUA6k538zzL\nELzkf0dGsd4u5RhaDXxApNqUPG5L3TbO/QPehuZlTl6FkSBPCCFEpfDYK+a0itP7L33L0o8wXlmD\n6tLLp/yuG2QPmJRT8Ol8z+110VtGGX+VuijTuO8x+8/6sRh/W1yYdfDt+Z/cvGvBFiqBipfcrAo2\nnlyI+vM1+Qs/PAeoqnsf+0bXUOx/CERZSZAnhAha+tw59C8/BboZNYq6fmg5HvbwS74MgZLLIcNS\n1e+iPbUiS92OUvHSa6Xc7EvnjdGjn5vVtoGlLroYVXy/PDeMawYR9YiccuVPXo81E0KIqsbc+CkY\nBvrrfxcevyR8F1HLfmZvWdSrX7bnwsKh3gXu7zsFeW6CwTA3qzVdFff8G5iPeNkixFPsUSlDiB6C\nXq2Db66aP74zU4Zu/Ul68oQQVZL5RiL6sH2RhS5yTqk+m4Ne+RL6rZckwCurJhdVTLkehthU1z+7\nDVrUXxNQ/W/yWrzq2R/D1UpZV3FBZJSLxGJcbvHhLrDyMeAqms3V+xYNhBSUenzVVSBlrVP4OcZD\nIF3RfA1KS+STwK6iSJAnhAgo/fvPmP9dX3itNXrX/9D//Qqdf7i5OXEI+vgRe4ac/AUV2qzspooC\nLdq4TC5x0L0nRX7Pq669IdpaMk+xo8BUSAiqYM+78oprVhhs+LRnn58CEV97u8oYCBn3PoYxf2Xp\n2lRcGXvk1OW9MBL+Vr66XW3m3L0PanzJBVfCOwnyhBABo202zGcS0G8U9s7o/3yOuSj/F4Vpw/bU\nJPvH5x4JRBOrJeP2e8v1vCp2dJYx9RnXGX3Yw86l6Nr2ei6u6Mn3+YFUbKOS89nKOFRq/DXBdRml\nLU7rMjwEKqIWylrb9b0efUtdns+0/WQN1f4y93lCQqFujPv7bhjjH8To3qccjau5JMgTQgSM/nJd\n4ecjf9g/HC7cB09//C4c+s1+kXG6MptWrakLW/i3wKhivXD5W5MYN4/0vYwiAZFq28EfrSojd71Y\nvgVc6pJO9mAGUDeNALebGgNKoXzeD88P8/PqlD7A8idlsWCZu8JzJtlOxa8kyBNCVCqdnYk+sN9+\nkXGm8MaRg+hzZwuHZQUAqjRDoAGiLroYY+E7hQnuVsq6/QXupwUG0a57sAqrKVJPg8Zl7q1TNwz3\nksP+nirKimp3qaeSUMPHYyT+o0ztqJby/4oYg3w891Z4JKtrhRCVSn/wd/Q3n9qHx4zCX7LmikTI\nyQ5gy6om1bp9FZyW7mLeVFQ0OjwiAG2hSPBo/2lMe85Nxvx98W4bh+pzfZFkLwskigsPL0Xb8n8W\nLPIoVq4KCYGQkBLfqKrlZeFIBa68VX++Bn7eW8qn/Pu3VF3SCRo0geOH/VpuTSM9eUKIynW2aCBX\n5BeVBHg+U32u854pAFTT5hjPv+H6ZpMLHR+Nma9QkSc3qFbtXd8Iye/XqBWNCg0rXRNKkVddNxQ1\nYIhzWkFQVmJ1bUnGnOWEdPYwzFuiQv9+l0b/gRgTHvJrmb6rev9LE8wkyBNCVCq99ZvCzwd/DVxD\ngoWLHiXVoUvhxUUty1SsYxVk8fl0PvFw+oOLffSMlz8scixXKWop7dw8L/GBuuKa/A8ec5WuTheM\nQaMwhubv0eepR7DoxscXt0Nd3tvegphYe1Doa1PKvGLXj0q7MbU7MifPryTIE0JUCJ12Ap15xinN\n/LJwBaM+fw52bavsZgUtS1tPc7vKoE1+eRG1/FuuCyokpMipBwW892ipjt2wLvJlvlrBRC73v9KM\nJe+hrhhgL9fxzq4qzi+reHtDQktm9UmxoKUgiGnRBnXzKEeyql0XY+I010V0uNx/QVQFMB57AdXt\nSt8fKP7darcXopwkyBNCVAhz2jjMh8cCoHPPY3v8bvSqZYX387dGqXHKGFRF3DyizFWqawaV/qFm\nrTzcrJq/iI1H5xae91osKFJh4SilMGa/Bpf19FqWat+5sNwZiWXfDqZ4uT372n+2bIfyZcNmwDJl\nRuH5uFWwp0u1aFP6I+ZEpZAgTwjhN7YJN6MzzqDPpNsT8vKwPTUJ84FRUHzV7Imjld/AyuDvg9Xz\nf6kbcc0K00LzJ/6HhaOa+TBcW4ZTEFTPfqV+xruKDVBUbCNU/mkeKiTU5VmuKrZRYa+ip+FLS+G6\nRNW0hYueyGK6eA8cAVTjCjhtpDKPP6vgurT06vmVBHlCiHLTpg39QxIA5mvPYz74l8Kbh36D8+cD\n1LIqKCa2/GXk9yoZ895E5W9srK641n1+V78rfQl0ysyHMhvGYdz3eOF1eXqoyviou8BN3TAM9adS\nDD96UpXilKpyFK6n/fqqYE9lMJMgTwhRKrapY9Cm/SxZffh3tGnCnu8xX8w/9SA9NYCtCwLRtTFe\nXev+vrugqyC93gWFny0hhcN4nhT84qxCQ2pKKVTn7j7krPxf+saQMa43KQ5zddatN9UtaPHDwpR7\npmHMe9PlvZAWraHxhS7vidKTIE8I4ROdcQadl2s/eSIvD70vGXPG/eitGzH//X5hxqOHAtfIqqT4\n+a4Fw61KOQdm9RuUqlh19U1ubhSWaTz2gj3JsdVKQaDh4he02548N71csb6c81pa5QwcyvG48coa\n70OxBdX8+RrnBG972ZWbf7veVIeu/p9OUJZ2RESiatdzec+IbYTl6SX2i0pYFFTdSZAnhPCJOfV2\n9OrX7Re/7kefPmX/nJMNBw8ErmFVlHHnA07X6rIe9g/Fh6MaFA+aiv1iv+hi1K13uJnY7uZs1IKN\nd0uUXQruOhSLbt/iL+UdMi5HZ1nR71VdOwQ14Bb3mYsFdcYzLxU+2/ZS13Mf3Q0/NmxSqnaWVPTP\n3scgtU08lunP+63aimZMmYEx69XKq7Aa8nriRWpqKosXL+b06dMopbj66qu5/vrree+99/jqq6+o\nU6cOACNHjqRzZ/tqpDVr1rBhwwYsFgtjx46lUyf7/JGdO3eyYsUKtNb069ePwYMHA3D8+HESExPJ\nzMykRYsWTJo0CYvFQl5eHosXL+aXX37BarWSkJDABReUfgKxEKJszC8/QvW9wb4rP6BP2YdizbmP\nOfLod+QfYV8Yg0Zj+2RVYULjC+HIH6jeV6N//N4pr7r9XvRKewChQsNQ192KYS3Yz87LcK5zov2H\nq448b7+slbKfu3riqNN5wv5mJP4DZbGgbXmum1ErssLqLtGWYXd6vK8axWHMfcPeaxpRC1WnsDfK\n6D8Q+g8s+VDxGK8g6PNlf8LSnsRRzaja9cDLSXXCM689eRaLhTvuuIP58+cza9YsPv30Uw4dsg/H\nDBw4kDlz5jBnzhxHgHfw4EE2b97MggULePTRR1m2bBlaa0zTZPny5Tz++OPMmzePTZs2Ocp5++23\nGThwIImJiURFRbF+/XoA1q9fT3R0NIsWLeLGG29k5cqVFfU9CCFc0KuWwbHD6JQ99oRDvwa0PcHA\nGHm35wz5v7gdQ6qN4pzvX9IRo2CYNbQUc8CUp56dsgQGCsv9T6CucjM87CfethExrHVcrpJ1VnmB\nj6pbH1Wnnj2oq4kqZKFOzQlcK5vXIK9u3bo0b94cgIiICOLi4khLSwNAu/g/im3bttGrVy8sFgsN\nGjSgcePGpKSkkJKSQuPGjYmNjSUkJITevXuTlGRfjbd79266d7dPwO3Tp48jPSkpiT59+gDQo0cP\ndu3aVf43FkJ4ZXv4TvS2b+0X589hzplu/1xdtz3xI09bmqgrrnXMk1Ou5htF1MJ44G+F19Y6Xipz\ne1F+vhYXXYquFk+/y0PDUANvw3h2qe/lBQHVoQu061gy3dXCjuIio93fi7d3rKgJD5WYGlCxqsoS\nXeELr8O1RR0/fpzffvuN1q1bs3fvXj777DO++eYbWrZsyV/+8hciIyNJS0ujTZvCCccxMTGkpaWh\ntaZ+/fpO6SkpKWRkZBAdHY2RPxG5fv36jiAyLS3N8YxhGERFRZGZmUl0tIe/+EKIMtOmifnMA5Ce\nit6XDIA5+8EAtyp4GPdMd05o1gp+Sym8/5f7PRegVOEigC49UY2a+l55SKn+OS9UihW3BXvnqWsH\nozdvKFt97spWCjVotF/LrArUhS2wPDizMCH/z0k1b+39WWttt72YRq+r7D/9tdWLqJZ8/lfh7Nmz\nzJ8/n7FjxxIREcGAAQMYOnQoSineffdd/v73vzNx4sQyNcJVj2Bp8iUnJ5OcnOy4Hj58OFZrWc5j\nDG5hYWHy3jWIv95baw3nzqIianF23T84m3+erN7wz3KXXZ2FdOlJ3vbNTmm1+9iPzUoHoqKisMxZ\nSvoIe2Dk6s8qHYiMjCSzSJoj3yOznfKG5W/fER4RTkTt2qTn51UhoaQD0TcOI+OLdZBfd0Z+3rNA\neFgYZwFVKwqdcRqr1Yo2TU4DtZ+Yx5n7S56mERFRi3CrlXMREeTkp9WZ8n/2D5d0JH+7a5RSJd4t\nIyQEW5F3K7ifExbGuYLvxse/u778PbflZJGB6++4qtFde2Gb9QohXtrq7r0zDAMbgXnX7H43QGgY\nkX6uOysklFzs71RT/z0HWL16teNzfHw88fHx5S7TpyDPZrMxb948rrzySrp16wZA7dqFXfRXXXUV\nc+bMAew9dCdPnnTcS01NJSYmBq21U3paWhoxMTFYrVaysrIwTRPDMBz5C8oquDZNk5ycHJe9eK6+\njIyMDF+/g2rDarXKe9cg/npvc8sG9PIFfmhRzWIzSvaAFf3zyMrKQhW5dvdnlZ2dXXihtdt8Bb/4\nzp07T25+noyMTMeimKzzuYV155d57uy5/GfsP3VoGJalH5GRkeHY6zArPH9hQ+v2sH+Po4yz585x\nPiMDM/9Zd++gXaTb8hdRFLxbwX0zf5uX4t+NJ778PddZmW7bVyU1aAJe2uruvW2mCQToXUdNrJC6\nzdBQR7k1+d/z4cOH+71cn7ZQefnll2natCk33HCDIy09Pd3x+bvvvuPCC+2bF3bt2pX//ve/5OXl\ncfz4cY4ePUqrVq1o1aoVR48e5cSJE+Tl5bFp0yZHwNihQwe2bNkCwMaNG+nataujrI0bNwKwefNm\nOnTo4IdXFkI4ST0R6BZUU75OJi8yx6k88889TYj3oVzVtHmxhHK0pUCU83w9df2t9jmJFzT0Q+E1\nkzHgFs/bvAQhdetYjFmvBLoZ1ZLXnry9e/fyn//8h4suuohHHnkEpRQjR47k22+/5ddff0UpRWxs\nLHfddRcATZs2pWfPniQkJBASEsL48ePtcy2UYty4ccycOROtNf379ycuzr6qbPTo0SxcuJBVq1bR\nvHlz+vfvD0D//v158cUXmTx5MlarlSlTplTgVyGEEC5E1IKzOd7zlYMxfyXm1Nt9y+x27+IiN0qc\ngqFL5lEG6vqhztlatIED+3xrhw9U46YYLxVulK1CwxzHsImyUZf3Ql3eK9DN8CsVHmHv3RR+5zXI\na9euHatWrSqRXrBliitDhgxhyJAhLp9JTEwskd6gQQNmz55dIj00NJSpU6d6a6IQojxy5VxZj4r3\ngsXEQtoJp4BJXT0I/eW6MlehrLVRY+6DsPDStcfVtil1YqBhsW1ZXMxnVkqhbvlL8cSiF97b4gNV\nmm1ghBB+JSdeCFFDmVs2oE0b+p+rvWeuyWJLDi0a059HjbyrMMHqahuRIkFSwZFmHhhXDsDo0bd0\nbcsP3ozHXkDVrmtPa9m2cIWuUhB/GarD5aUrt+DZoj+FEEGnjGvuhRDBQh89VGLDXf1bCnr5AvSn\nHwaoVcHDeOQ5zMnOq0+VT+d/FvaeOY408wdXx88WPycXUHc+gOrUDeOaQYXXdVyfF1pCozjUxfnv\nGAwnLARDG4UIAAnyhKjmzCfvwZj/Fua8JwAwbhuPOf9J+81DvwWwZVWfMfMVr8dqGVNmoH//pZJa\nVIyHo8yMXv2dUotfu3sOwPLMy+VsmBCiKpAgT4ia4PgRR0DnCPCEV8qXQ+S9nUphL6lMt8r2gJ97\ntcoyXCtDvEJUCTInT4gawHzukUA3QQghRCWTIE+IakCnnUDnnse2cEagm1ItGfPedH/TxbFg6pY7\nILax39uhJjyEyj/Oyp7gp3JvvQPV70bXc9ukV06IoCVBnhBBTuflYU4bh/72S0jeEejmVEuqtusF\nC8aMRRDXvGT69bc6TqLwWG6vq0pud+KB8acrUZFRPuf3udzrbkU1LsU5uV6oy3pAq/Z+K88rWXgh\nhEsS5AkRhMyP/oHOyz/G6thh+8/szBL5tM1Wia2qeVTT5oXblXjM6DrZuHOKfSPYqsLDu1iWfuRz\nMcbVg7BMe84fLRJClIMsvBAiCOmP/4HZ7zqw1oMzp9znW7WsEltVg4WEer5fAR1Nxvy3UC7Oz/U/\n94GfGnYnqmO3SmiDFzKkLIRLEuQJUcXp9FTMh+8s2ZOSHziYrz2ff20/uFyfSsV85E5ofCEc+aMS\nW1q1qaFj0e+vqJiy+92AahNfIWW7rdOnVb0Vx3jp/apzmoUM1wrhkgR5QlRROvc8GBZIO+k5Y2aG\n/Wdu/vDt8fzhWwnwnFVgIKBCw6B56worvyqqMgGeEMItmZMnRBVlPjQW/fpCyJ97Z/77ffS5c477\ntt9SnPLr//3X/sEi/+/mkrcYr3P3SmmGqAjSkyeEKxLkCVFVZWeiDx7AnPsYAPrDv6PX/B196Hf7\n7UXPoM0iCyuOHbLn27+n0psaaMZ9j5W7DNWslR9a4q7wiiu6wgVz24Wo4STIE6KC6dQTaB+HCvUP\nSZhvvVQkwfk5/dXHmE/d77g27x5SsowPPezpVg0ZE6dDh675F57+SXP/Z2Ak/A119U3+bZgQQgSY\nBHlCVDBz+jjYtxsAffCA57wbP0V/82lhwikv8/EEhEcUrq70NE/MQ6Ct2l+GinA+o1Z1/bM/Wicq\ng4zWCuGSBHlCVCBt2le8cjYHfTYb829TSlfA2Rz/N6oaUgWnTtSr75w++p7CiyJBnvHausJ0Vwsm\nLmyBcXfNOwrOGDsZY3LxU1NkvFaIYCVBnhB+oA/sRxdfCHE2u7AnTmsoCPiK5jl2GLPo8Oru/1Vk\nM6unhk0cH9WFFxemKwOj7/Wenw0JxfL4vDLXV92oxheiLr080M0QQviJLMMTwg/M2Q8CYLz8oeM4\nK3PSCKhlP4LKXDLLfp5pMXrzevS/P4Bb7sA24ebKa3CwatoCig15q9hGhRc+zn10nFLhZhNd1eoS\nl+nGpCehXUef6ihWYhmeqSKCYaPh6NqBboEQVZL05AnhR+bz04H8Pe4AcrIc9woWRDjueSpn3dv+\nb1w1oFp42IuuyUUQf5n7+wUBoJsAroDx6FyMURNd34yIRIWFe2llNRMEMZ6Kii7VsWtC1BTSkyeE\nPx3YZ//pYmjW4ee90K4j+uCv6H+uBkD/+L1TFv3JqopqYfC6tCtq8O3o/3zu8rblb4sBsL35osdi\nHEO6l/VAhdcqZSPKOsM/eFcGqMv/jIqSnjIhgpEEeUKUgf51P3rL1xgjJpTYHkXnZHveyiM/v/79\nZ0eSOf/JCmln0KsbA+lpAKhLOqFq1y1feWHhcHFbACz3utlbLxiGJz1QFzT0b3mhoSDz9IQIShLk\nCVEGeuOn6G+/QA8ajV611OmeOXkEqkc/74UUOb1CVAaNZcl7PuQL3iDPSPyHfUsZIYRA5uQJ4ZXO\ny7X3zgHm8vnorEx0tn2unTl5BHrTVyWf2bLBfXl//ILOPY9+55WKaXA1oW4a4ZdRTmPem6i+1/u+\n712FxHiVEziqyKjC7WSEEDWeBHlCeKHfeglz8gj75y1fw+8/ozyerOClvE9WOy3IEG6oYt9xaeOk\nggW0tethjL4H1aipX5olhBDBQoI8ITzQeXno/DNhbbMfsqf9kFS+eVs5Weg933vPJwIjyurhZvAO\n5Qohah6ZkyeEGzon29GDBzhWzuovP4KmzctX9vL55Xq+RtAap/Ha6DoVXmXRfQ5dZ5AgTwgRPLwG\neampqSxevJjTp0+jlOKqq67ihhtuIDMzk4ULF3LixAkaNGhAQkICkZH2sx9ff/11du7cSXh4OPfd\ndx/NmzcH4Ouvv2bNmjUA3HLLLfTp0weAX375hZdeeonc3Fwuu+wyxo4dC+CxDiEqks49Dz966G07\n+GultaXGKhpQ1a2P6t6nZJanFrt/vgy9rR4DPHuOUpcphBCB4nW41mKxcMcddzB//nxmzZrFZ599\nxqFDh1i7di2XXnopiYmJxMfHO4K3HTt2cOzYMRYtWsRdd93F0qX2lYeZmZl88MEHPPvss8yePZv3\n33+f7Gz7ZPZly5YxceJEEhMTOXLkCDt37gRwW4cQ/qZtNswvC88z1e+8ivnyswFsUZC4vFeFFa2u\nHoQjqKpdp/CUigKX9UDFXVRh9btuVBmDvCDflkUIEZy8Bnl169Z19MRFREQQFxdHamoq27Ztc/TE\n9e3bl23btgGQlJTkSG/dujXZ2dmkp6fz/fff07FjRyIjI4mKiqJjx47s3LmT9PR0cnJyaNWqFQBX\nXnklSUlJACXqKEgXwu9OHEGvWo622bA9eS/62y8C3aKgoPKPbfMHY/5K+4fO3VE9+qEiauFxea23\nwKlOjN/a5nOdQghRhZRqTt7x48f57bffaNOmDadPn6ZuXfvGpHXr1iU9PR2AtLQ06tev73gmJiaG\ntLQ0n9Pr169PWpp989PidZw+fbqMrymEF/krOc2JQwLckCqoTj04fQpqRUL+VjK+UH2vR3/9b9/z\nW+2nKhg3DEO1aON808czaR1l3TgcdXUFnAUsQZ4QIoj4HOSdPXuW+fPnM3bsWCIiSm62WWIopQK4\nqyM5OZnk5GTH9fDhw7FaPa2Qq57CwsLkvT2w/XEAwsKxNGzilJ6763+osDAyK6qBQa7uqx+SPqIf\nBUOnRqM4zKP2FcehISGoIbdzbs1Kp2eiHn8B88hBckoR5FmtVsxl6zCKHDZ/Wik09mkjBX/G6UDk\n1L8R0qYDhos/93Qgon4s4Y3jSvWe3qQDkVHRhJTyv7F0IDwsjIhy/rcp/33XLPLeNc/q1asdn+Pj\n44mPjy93mT4FeTabjXnz5nHllVfSrVs3oLD3ruBnnTr2lW8xMTGkpqY6nk1NTSUmJoaYmBinQCw1\nNZUOHTq4ze+pjuJcfRkZGRm+vFq1YrVa5b09sD38V6gTgzEjEXPqGNTlvdH/22S/2bp9BbcyeBX9\nbtW1QzD3Fi5Iyc3NdXlyx9nmbTB/TSlDPQqK1KfzzwC2maajHXXf3UBGRgbn7A+5LOvsuXOcr4D/\nFrJzslFlKPfcuXPklrM98t93zSLvXbNYrVaGDx/u93J92ifv5ZdfpmnTptxwww2OtMsvv5yvv/4a\nsK+a7dq1KwBdu3Zl48aNAOzbt4+oqCjq1q1Lp06d2LVrF9nZ2WRmZrJr1y46depE3bp1iYyMJCUl\nBa0133zzjSOQdFeHEGV2Og2zYL+7ggAPYP+eADUoiCgwht1ZcpPisggLK13+Ug7XVhhZeCGECCJe\ne/L27t3Lf/7zHy666CIeeeQRlFKMHDmSwYMHs2DBAjZs2EBsbCwJCQkAdOnShR07djBp0iQiIiK4\n5557AIiOjubWW29l+vTpKKUYOnQoUVH2Sdvjxo1jyZIlji1UOnfuDOC2DiHK5eSxQLegegkJdbpU\nQ8d6fUSNuQ+jRz9sEypg3lyFkmBNCBE8vAZ57dq1Y9WqVS7vPfnkky7Tx40b5zK9b9++9O3bt0T6\nxRdfzLx580qkR0dHu61DCFHx1Ngp3jNZaztf167nS8mFHy0hYMsrVbsCRjZDFkIEETnxQlR7tsfu\ngrDwQDcjKKmYC4peOd+MbQSXdIJsd+fw+hgQBVPc5I+haiGEqCTyL5aotvSh3+3DgSeOwqHfAt2c\n4NLePmXC1Vwy1aI1WOtgmf0aRvc+lNjLzk3QZrz0fpE8wRTZFRWs7RZC1EQS5IlqRe/a5pjnZa5b\n6SW3ADDumV4ysSAIiyqylUH+UKUaeTfGCytKX5HF4uaGh8CpzAsuKmihRlmHayU2FEIEgAR5Iqjp\nnd+hiwQC5qKnAbAtngk7tgSqWUFFdfFwNFnT5iXzGwbKcBewuRAZXfpGVVkSrQkhgofMyRNBS9ts\nmEtmkVe7NjorC3VpkS12vt8auIZVB66GU90FdiV625RzGY4ePDcBki9Dt1VgBxV1/a0Q2zDQzRBC\nCMcxd8AAACAASURBVJ9JT54IXnm5AGQ9Ow1z0dPoM6cC3KDqQ7UuudO6cf8TZSrLeHSu5wxh4VD8\nGLMqyLjlDlSx7WJ8Jgs2hBABIP/yiKCiTRvmpq/svXjPP+p0z3zwjgC1qnpRg2/HuGGY/aJoL129\n+q4f8NLLpmIbec5gGFgee8FLIZ5vV2XGtOdQVw8KdDOEEDWQDNeKoKK3bESvSESvSAx0U6qv/OFT\nY9YrKKPo/we6jrRUvRjnOM/d8Gtp04uqAsO1ZaVayZF5QojAkJ48ETT0od/QbywMdDOCU/0Gvue1\n2P/fTzVo4lv+y3piLHoXdWuxnlRPsVvQbqEihBDBQ4I8UaWYK19Cn80B7Nuh6EO/o0+lYn7zGeZT\nkwLcuuBleW6Z5wxFe5vcbXXiJjBTSqFqRWJcdyvENkI1a1Uyk68BoxBCCL+R4VpRZdieewR+3ovq\n2R9atnNshyIqSGQ0ZGcCoBo2RqfssX/ucHmZi7TMfs11+qxXnBNK3ZMXxOO1QggRINKTJwJOa43+\nLQV+3guA+dwjmOveDnCr/KxLz4op11rHaxZ358+qfjcUXsQ2tv+s3wDVKM4fLfOdDN0KIUSFkCBP\nBIzOy8O26GnMuwZhzpzqfO+TVQFqVcVQEZGBbgLG7NdQPfq6vKeuusl7AYGIxRyre0tZuXT8CSGE\nBHmi8uk9O7BNuBn99T9h17ZAN6fihYWjRt4V6FbYtzJxs8+biqiFGnw7avBof9ZYIsV44c2S2Xza\ne06iNiGEKC2ZkycqhbbZ4OAB9I4t6H+utqetWh7gVlUO49mlqIha/i00JNSxGbRXRWOtokOjdZ33\nvTNuHF6KgnyotlkrdHiEc1qdek5lGc+8DGFhpSpXCCGEbyTIE5VCJ32DXr4g0M0ICFW7rv8LbdQU\nDh4orKPrn9HbvnXXghIpxvNvQJ16qK69/d+2glqbtcSyeLXnPF7m/6nO3dHffuHPZgkhRI0hQZ6o\nMDr1BPpfq9GH/4D8lZvCTwznmRZqwoPobd+i7pyCfsPDRtH5PXmq4PSK6Nq+1+nHBRK+FmXcMQlb\n6nGXx6wJIYTwTII8UWbatNnP5LTlOc701KdPwc97MTdvgJ1bAtzCymX8XyLm065XsvpdLeeFHMqw\n722nOlxeYvaacnccWZCwTH0m0E0QQoigJEGeKBNz6Tz01o3QuYc9mAsLh/PnAt2swDLcbCJcIXW5\nWTOlnNONl95HhRad8xb47UpUn+ug7aWBboYQQlR7EuTVYNq0QfopiKhlHz87m4Pe8An6j18x+t2A\n+a/3HHvXuVXQW1fTA7yqIqJwoYMaO6VYgFde/gkQjdvv9Us5QgghPJMgrxrQ2VnoD1aQ/s1n9oSm\nLZwm5ZeFuft/fmiZ8JW64lr0fz4vw4OFgZdl6Uf2pNvGofrcgAp1sTVJ4DvyKketwO9LKIQQgSZB\nXhWlU0/Yf4GfPGpfuHD+HPrnvbD9v94fLmeAJ/zHmPWqT/nU8L+WO8hz1Hn1oFLl972usj9amYxn\nl0JMbKCbIYQQASdBXhWh006if9qFfr1mbjNSXai/3I/++2L7RUgIqkFj3x60hKL63oD++l++5S84\nCaJWFJw+5XsDI6N9z1tUs1b2Yf0goC5oGOgmCCFElSBBXgXTuech4zT6p92odh3tv5xPHoXMM5j/\n+Rx2bw90E4UfqajoUp/NoK4djAoNRY2eiM3XIA+o8/fPOD33cTh60Pe6Bt6G+vM1pWwhWJ6YX+pn\nhBBCBJYEeX6iTRPz7sGe81RSW0QF69wdMk67WZRS+jFNNfTO0rdBa1QZTopQoWEQ26j09QkhhAg6\nEuSVgs7Lw5xxHxw/EuimiEDSRcL1KCtkZRRet45H/fmaCjulQV19M/rLj4okBMlEOSGEEJXOa5D3\n8ssvs337durUqcMLL7wAwHvvvcdXX31FnTp1ABg5ciSdO3cGYM2aNWzYsAGLxcLYsWPp1KkTADt3\n7mTFihVorenXrx+DB9t7vY4fP05iYiKZmZm0aNGCSZMmYbFYyMvLY/Hixfzyyy9YrVYSEhK44IIL\nKuRL8Ebn5WLec2tA6hblYzz1IuZTk8pVhmXpR9gm3Iwa/yB62Tx7Yn6gZ0yfg/lk/pYgtSJR1tqo\nOyZhcxXkuVr13LDYsV5Nm8PBX0s8qm4eBRnp9v0Ii6Z36Yk+m12GtxJCCFHdudlRtVC/fv14/PHH\nS6QPHDiQOXPmMGfOHEeAd/DgQTZv3syCBQt49NFHWbZsGVprTNNk+fLlPP7448ybN49NmzZx6NAh\nAN5++20GDhxIYmIiUVFRrF+/HoD169cTHR3NokWLuPHGG1m5cqU/39tn+vQpCfCCmIprVupnjGde\ndl1W0+YlE0MKtylRMV7+JySq5KIHy8yXUUW3QZmxyPWzSmGMmkjx4WCj99VYHn7Wc71CCCFqJK9B\nXrt27YiKiiqRrnXJGWbbtm2jV69eWCwWGjRoQOPGjUlJSSElJYXGjRsTGxtLSEgIvXv3JikpCYDd\nu3fTvXt3APr06eNIT0pKok+fPgD06NGDXbt2lf0ty8F86I6A1Cv+v717j4rquvsG/t1nUMgMI8Nw\niaCxKMQYQfACuWi8gGmtJk2MF3LxTYulMSpqQtM80WQ9NVneksZEMd5a4yVN2seYptimT7vM+0bR\nRk0DCkaxhlA1iSYIMoLcFGZmv38MjCDDDPeBc76ftbI8c84++/x+wwz5sc9ld7K4u5zPkfNE9B/Q\n0hbnkjL75xA/XdShkJQFS903GHmPuxCIiIjc8ljktWTfvn14/vnnsXXrVlRXO04XWSyWJqdUzWYz\nLBYLLBYLgoKCmq2vqKiAv78/lPopmoKCgmCxWJx9NeyjKAoMBgMqKyvbG26bSWsdbE891G3Hay2R\nMN7bITTXf6C3I2i7IXe4Xn9nXMv7NBqJE1F3Qhn/o6bX57VFSH+I0WPdt1GaV3Tih/XPwGvvcYmI\nSDPadePFlClTMGvWLAghsHv3bvz+97/H/Pnz2xWAqxHBtrbLz89Hfn6+83VycjKMRmO74gGAqjf+\nG8qtA9ATJ+ry8fWFNSAQsi3PRuuM40aPgjU/1+U20/p3UfZYovO1bsgdsJ39snX9Dh8J6+m8TonR\nFaPRiDIAPj4+8K9fBgBdnz6wuWhvWr4eAJztGvrA7gPO9Q19AYCtphIVjdvVc+wvmqyr9PGBtX5Z\n0ela/Iw2HFt/zyRUHz8KAPD19YWf0QjU56DTKejbt2+HPue9FfPWFuatLVrNGwD27NnjXI6OjkZ0\ndHSH+2xXkdevXz/n8uTJk/Haa68BcIzQXb582bmttLQUZrMZUsom6y0WC8xmM4xGI6qqqmC326Eo\nirN9Q18Nr+12O2pqauDv7/pBrq7ejIqKCpdtW8OW/Wm79+1qVp0PcPck4OPM7jtoaBhstw4AGhd5\n/Qc6n89283tts9udy2LcZMhTx1t8YK/1phsJOltFRQUwMAK2YbFN4mwcY7P2DUxBQFlps/ysVqtz\nnayqcr2vY2vTY1qtzmW73e72MyqmzMC1qOHO19f99Khr3JfNhtra2g59znsro9HIvDWEeWuLlvNO\nTk7u9H5bdbpWStlkJK2s7MY4x7/+9S/cdtttAID4+HgcOXIEVqsVxcXFKCoqQlRUFKKiolBUVISS\nkhJYrVYcPnwYCQkJAICYmBh89pljkvuDBw8iPj7e2dfBgwcBAEePHkVMTEwnpNtziSmPOBYCAt23\nmzUXyuy5UFZtdd9uZuuvJVQWvghx98QbK34Q1WS7btVvnY/qcF7X5u/6Ly0xbXbTvlOegW7tO03m\nEhWTpt1o0N7Tjm14Rpxu+QYojY8JAMLFR3/w0BvLBiNEzGjXHTaOuctOmzbqVwiIcfd30XGIiEit\nPI7kZWRk4PTp06ioqMCCBQuQnJyM/Px8nD9/HkIIhISEYN68eQCAgQMH4t5770V6ejp8fHzwi1/8\nAkIICCGQmpqKlStXQkqJpKQkDBjguLh9zpw5WL9+Pd5//31EREQgKSkJAJCUlIS33noLS5YsgdFo\nxDPPPNOFb8MNXr8OzxziGPW6RQ/UNH80hmiYWsruvrgQk6ZBfviO+zYPz4Hy4KOO5VH3QM5Mgf2/\nWvlg3tpal6uVR56EzdVpXV8/Rz7RoyAef8oxfVdQaLuLJDF1NuRf/tCufQFA3BkHWXCqyTql0UOJ\ndev/AFlm6dzn3dUXysozywFjgPu2Emi4y0LZ/CGE0u7LZ4mISKM8FnmuiqvExEQXLR0eeeQRPPLI\nI83Wjxw5EhkZGc3Wh4aGYvXq1c3W9+nTB7/85S89hdepZJml0/sUT8yH/KP7UTfHwQFl4weQ/zoA\nea4AyvINsK9IB8zBjofr/s/vbmrfjuKory9Qe+NKw4YCzxlr4I2bY8T4H0H+82OX3YhZKRAhYbBv\naeHRHX2aj7Ipy9YCNivEzbMttHckrDUPAXY1WtewKWY05P/uAax1bTuuKQhiaDuvk6jPVcSM8dx2\n0BDnovBx8TXljRdEROQBhwcasT+f0in9KOv/eGM50XGaUHllo4e9JISvL8S4H0JZngERFArd+j9A\n9+sMiPFTXATb9JoyMe5++P7ksSb9uYxt8X+7jULM+CmUhx6H8tNFLRZSypQZEKPvhZj3X663L3gB\nIrVpgS7Mwc0LPFfHnz0XcFXU3Kw1k9D/ILLlbQYjPE8013y77vWdUKbM8HzsDtBt+yuUuye6f1wK\nazwiIvKA05p1AXHTQ2+VzX9yzBnaeN3S3wCBwbC/8POm++p0jpkRXFC2fHjjRaD5xj5zFkCMuge3\nDByE6x/tdqzs4/qGBhHruBZSWfJr18eYOuvGi0ajRWLabIhhI5r2JVzXGqJfIBB+W7vqEOVHj8Be\nUwP5t91u24kxY2/MPtGSFka7xA8fblXB2aoEGk6f30R5ZWPzkcS2TkHGKcuIiKgDOJJXT1Z3wTP4\n6qesurnAAwAROazJDAki8k6P3YnGsyvo/Z0TzSuTpkLU37ChPO0YXRM6HZT5L7jrzePxmrTuZ4Jw\n9XDexm0efMztdpdcFGLiocchpsyA+MVz7o7W9mM1qP95KC95KBJbMaIojAFQ1jWfjUWED4II64XP\nDyQiItVgkdfg3yda3CR+7H5aM2XVb2+8cDX1VUM/P3PMoSoeTW2+bfS9LR+g3fVM/Y71o3ddrd3X\nqt3cjxBQZqU4Tlm21MbHByJxGjDKTeHp4WYF0TBiOizW8a+p6Z3NwhgA5Tc7Pcfr389lodesXW98\naDQREfVaPF1bz771tZY3ujhtJh56AvKvfwSihgO3NJr2rb6wEHPmQwSFNtlHue+HsL3zlueZDm4+\nlk8fx+ndtqoPW3nqV5DvbgZucX1qscXdH5/noYGb6tMU1PI21M/cENIf8ovsNsXUmGMu15bviHb1\n2BEx/kcQCfc1XdfPBKWFKc8a34zijvDv57nNY09BzEppVX/1e7jZxovyiIjIPRZ5AKSnGRduurZK\nt+2vsB/+f47lF16FrCi/0TTxAQBAs+eytdCfeOJpyKMHPMYoIod5bNNMP8fIlPC7BeIpd6c+XVOS\nHnTfwNDyU8lFP5PbuWKVZMdopu3E522Oy6MxY6Gb73peWOXm+WZD+gPDR3Z+DC4InQ7Q6TqnM95d\nS0REHrDIA2Bf5/omhAZi3GRAp0B+tBtixk8dKxv/T7bRxffCzSlGp0anEZXEB4D6wrCziag7oWzc\n47lhe/sfFgvlDffP4vPYxy0Gz2NSIf0hhsW2+EiXZn3qWv+x1q3+nedGREREvRCvyWsFERoG5aEn\nHMtxdzlWNr7ztE9ft6NWzTvsvrsmha9f1/bfz/0MHR73v3lk7ebtKUugpP7SeRMLgFaMvKnkrlSV\npEFERN7BIq+t3Dxgt75BJ/TRSio4ZScaTXfmijLu/manqpW5zzZ5bdrt+XR3r6Tr47kNERFRCzRf\n5MmSola3Ff9nIRAaVr+ji0d/PPqL1j3ItytHaFoxcifmzAeGdsFcwK15QHF7NX7PPI2ERt7RdXF0\nI+HrC+Ut988LJCIiaommr8mTUsL+ooc7SBtRJv7Y/fb7Pc97q6S96PaGhTZRXFzEHzMGyoot7ndz\nd1NIO7XpdLULYuos53P/PPJQyHq8YaQXEX4tjHSqYBSXiIi6lqaLPBRdbPeu4t5EiOBQzw1v3s/D\nA4XbQvnlCuBaTdP+hQD6D2hhjx5MCCjjf+SxWUeLSSIiIq3QdpFnt7nfHnYblBdedblJ9OkLDB/V\nBUG1nggK8erxu5MYPhKyK04xExERqZS2r8krv+J+e0AgRGedWiX3PJx+FAMHQ/f86m4Kphfg6Voi\nIvJAs0WevFbt8fl47ud+pR7HYISyPMPbURAREfUImj1da1/8WMsbYxOAL7I5itedOvjsQGXVVkDX\nR1OnsImIiNzR7EheS5Qlv+7WhxVT5xCh4SzwiIiIGtHsSF6LWjkhPZG3iEdTIcJ/4O0wiIioh9Nk\nkSdveuyIU2g4xMDBEP0HQJ7o3piIWku5/2Fvh0BERL2AJos8nM5zu1nM+CnET57opmCIiIiIOp8m\nizz7Jx+53S4UHeDrYjYJIiIiol5CmzdeFJxqYQOfPUZERETqoM0ij4iIiEjlWOQRERERqRCLvEbE\nhB97OwQiIiKiTuHxxostW7bg+PHjCAgIwNq1awEAlZWVWL9+PUpKShAaGor09HTo9XoAwI4dO5CX\nlwdfX1+kpaUhIiICAJCVlYXMzEwAwIwZMzBx4kQAwNmzZ7F582bU1dVh1KhRSElJ8XiMjrC/u6nF\nbcqURzrcP7WdSHwA4q6J3g6DiIhIVTyO5CUmJuKll15qsm7v3r0YMWIEMjIyEB0d7SzecnNzcenS\nJWzYsAHz5s3Dtm3bADgKtg8//BBr1qzB6tWr8ac//QnV1dUAgLfffhvz589HRkYGvv/+e+Tl5bk9\nRkfJQ/s6pR/qPMoTT0MMGOTtMIiIiFTFY5E3bNgwGAyGJutycnKcI3GTJk1CTk4OACA7O9u5/vbb\nb0d1dTXKyspw4sQJxMbGQq/Xw2AwIDY2Fnl5eSgrK0NNTQ2ioqIAABMmTEB2drbLYzSsJyIiIiLP\n2nVNXnl5OUwmEwDAZDKhrKwMAGCxWBAUdGNaMLPZDIvF0ur1QUFBsFgsLo9RXl7enlBbTdn8py7t\nn4iIiKg7dcqNF0KIzujGq8cQffp2af9ERERE3aldM140jN41/BsQEADAMUJXWlrqbFdaWgqz2Qyz\n2Yz8/Pwm62NiYlps7+4YruTn5zfpPzk5GUaj0WXbshb6aKl9b9K3b19V5NFWzFtbmLe2MG9t0Wre\nALBnzx7ncnR0NKKjozvcZ6uKPCklpLwxG8SYMWOQlZWF6dOnIysrC/Hx8QCA+Ph47Nu3D2PHjkVB\nQQEMBgNMJhPi4uKwe/duVFdXw2634+TJk5gzZw4MBgP0ej0KCwsRGRmJQ4cOYerUqW6P4YqrN6Oi\noqJNb0Rb2/dERqNRFXm0FfPWFuatLcxbW7Scd3Jycqf367HIy8jIwOnTp1FRUYEFCxYgOTkZ06dP\nx7p163DgwAGEhIQgPT0dADB69Gjk5uZi8eLF8PPzw4IFCwAA/v7+mDlzJpYuXQohBGbNmuW8mSM1\nNRWbNm1yPkJl5MiRANDiMYiIiIjIMyEbD9GpyHfffedyve2ph1yu1237a1eG0y20/BcQ89YO5q0t\nzFtbtJp3eHh4l/SrqRkvZO111xuG3NG9gRARERF1MW0Vef/8uPnKgRHQLXu9+4MhIiIi6kLaLvJ8\n+kB54TXvBENERETUhTRV5MFma/JSWb4Bwu8WLwVDRERE1HW0VeQVXWj6Wm9w3Y6IiIiol9NMkSet\n1mbrRD+TFyIhIiIi6nqaKfLsL87zdghERERE3UYzRR6uXPZ2BERERETdRjtFHhEREZGGsMgjIiIi\nUiEWeUREREQqpNkiTw1z1RIRERG1RBNFnrz4dZPXysYPvBQJERERUffQRJGHivImL4Wvr5cCISIi\nIuoemijy5Klj3g6BiIiIqFtpo8j7+C/OZXFvkhcjISIiIuoeqi/yZF0dIO3O12Lmz7wYDREREVH3\nUH2RZ1/1y6YrpPROIERERETdSPVFHm66sxZ9+ngnDiIiIqJu5OPtALqTsvED3llLREREmqD+kbxG\nWOARERGRVminyOtn8nYERERERN1GO0Ve1HBvR0BERETUbVRd5Emr9cYLu817gRARERF1M1UXefi6\n0LkobhvixUCIiIiIupeqizz53TfOZfGTx7wYCREREVH36tAjVNLS0qDX6yGEgE6nw5o1a1BZWYn1\n69ejpKQEoaGhSE9Ph16vBwDs2LEDeXl58PX1RVpaGiIiIgAAWVlZyMzMBADMmDEDEydOBACcPXsW\nmzdvRl1dHUaNGoWUlJRWxyatVsjfb3S+FkJ0JFUiIiKiXqVDRZ4QAsuXL4e/v79z3d69ezFixAg8\n/PDD2Lt3LzIzMzFnzhzk5ubi0qVL2LBhA7766its27YNq1atQmVlJT788EO89tprkFJi6dKlSEhI\ngF6vx9tvv4358+cjKioKa9asQV5eHkaOHNmq2OSf37kR56yUjqRJRERE1Ot06HStlBLypmnCcnJy\nnCNxkyZNQk5ODgAgOzvbuf72229HdXU1ysrKcOLECcTGxkKv18NgMCA2NhZ5eXkoKytDTU0NoqKi\nAAATJkxAdnZ262P7v39xLosx4zqSJhEREVGv0+GRvFWrVkEIgfvvvx+TJ09GeXk5TCbHM+lMJhPK\nysoAABaLBUFBQc59zWYzLBZLq9cHBQXBYrG0L9CAwPbtR0RERNRLdajIW7FiBQIDA3H16lWsXLkS\n4eHhzdr0hGvhRJ++3g6BiIiIqFt1qMgLDHSMkPXr1w8JCQkoLCx0jt41/BsQEADAMUJXWlrq3Le0\ntBRmsxlmsxn5+flN1sfExLTY3pX8/PwmfSQnJzuX/VdvhY/R2JE0e42+ffvCqJFcG2Pe2sK8tYV5\na4tW8waAPXv2OJejo6MRHR3d4T7bXeRdv34dUkr4+fnh2rVr+OKLLzBr1iyMGTMGWVlZmD59OrKy\nshAfHw8AiI+Px759+zB27FgUFBTAYDDAZDIhLi4Ou3fvRnV1Nex2O06ePIk5c+bAYDBAr9ejsLAQ\nkZGROHToEKZOneoyFndvRk1IOFBR0d40exWj0YgKjeTaGPPWFuatLcxbW7Scd+MBqs7S7iKvvLwc\nr7/+OoQQsNlsGD9+POLi4hAZGYl169bhwIEDCAkJQXp6OgBg9OjRyM3NxeLFi+Hn54cFCxYAAPz9\n/TFz5kwsXboUQgjMmjULBoMBAJCamopNmzY5H6HS2jtriYiIiLROyJtvj1WJbx+IB3Q66LZmejuU\nbqPlv4CYt3Ywb21h3tqi1bxd3dPQGVQ944WS8T/eDoGIiIjIK1Rd5AlfP2+HQEREROQV6i3y+pm8\nHQERERGR16i2yFNWbvV2CEREREReo9oiT9yi93YIRERERF6j2iKPiIiISMtY5BERERGpEIs8IiIi\nIhVikUdERESkQizyiIiIiFSIRR4RERGRCrHIIyIiIlIhFnlEREREKsQij4iIiEiFWOQRERERqRCL\nPCIiIiIVYpFHREREpEIs8oiIiIhUiEUeERERkQqxyCMiIiJSIRZ5RERERCrEIo+IiIhIhVjkERER\nEakQizwiIiIiFWKRR0RERKRCLPKIiIiIVMjH2wF4kpeXh127dkFKicTEREyfPt3bIRERERH1eD16\nJM9ut2P79u146aWX8MYbb+Dw4cO4ePGit8MiIiIi6vF6dJFXWFiIsLAwhISEwMfHB+PGjUN2dra3\nwyIiIiLq8Xp0kWexWBAUFOR8bTabYbFYvBgRERERUe/Qo4s8IiIiImqfHn3jhdlsxuXLl52vLRYL\nzGZzs3b5+fnIz893vk5OTkZ4eHi3xNjTGI1Gb4fgFcxbW5i3tjBvbdFq3nv27HEuR0dHIzo6usN9\n9uiRvKioKBQVFaGkpARWqxWHDx9GfHx8s3bR0dFITk52/tf4jdIS5q0tzFtbmLe2MG9t2bNnT5M6\npjMKPKCHj+QpioLU1FSsXLkSUkokJSVh4MCB3g6LiIiIqMfr0UUeAIwcORIZGRneDoOIiIioV9G9\n/PLLL3s7iK4QGhrq7RC8gnlrC/PWFuatLcxbW7oibyGllJ3eKxERERF5VY++8YKIiIiI2odFHhER\nEZEK9fgbL9oiLy8Pu3btgpQSiYmJmD59urdDarMtW7bg+PHjCAgIwNq1awEAlZWVWL9+PUpKShAa\nGor09HTo9XoAwI4dO5CXlwdfX1+kpaUhIiICAJCVlYXMzEwAwIwZMzBx4kQAwNmzZ7F582bU1dVh\n1KhRSElJ6fYcXSktLcXGjRtRXl4OIQQmT56MadOmqT73uro6LF++HFarFTabDffccw9mz56N4uJi\nZGRkoLKyEoMHD8bixYuh0+lgtVqxceNGnD17FkajEenp6QgODgYAZGZm4sCBA9DpdEhJSUFcXByA\nnv29sNvtWLZsGcxmM1544QVN5J2Wlga9Xg8hBHQ6HdasWaP6zzkAVFdXY+vWrfj2228hhMCCBQsQ\nFham6ry/++47rF+/HkIISClx6dIlPProo5gwYYKq8waAv/3tbzhw4ACEEBg0aBAWLlwIi8Wi+u/3\n3//+d3zyyScA0DP+PyZVwmazyUWLFsni4mJZV1cnf/WrX8kLFy54O6w2+/e//y3PnTsnn3vuOee6\nd999V+7du1dKKWVmZqZ87733pJRSHj9+XK5evVpKKWVBQYF88cUXpZRSVlRUyEWLFsmqqipZWVnp\nXJZSymXLlsmvvvpKSinl6tWrZW5ubrfl5s6VK1fkuXPnpJRS1tTUyCVLlsgLFy5oIvdr165JKR2f\n4RdffFEWFBTIN998Ux45ckRKKeXvfvc7+fHHH0sppdy3b5/ctm2blFLKw4cPy3Xr1kkppfz2ufMw\nbgAACxNJREFU22/l888/L61Wq7x06ZJctGiRtNvtPf578dFHH8mMjAz56quvSimlJvJOS0uTFRUV\nTdZp4XO+ceNGuX//fimllFarVVZVVWki7wY2m03OmzdPlpSUqD7v0tJSmZaWJuvq6qSUju/1gQMH\nVP/9/uabb+Rzzz0na2trpc1mkytWrJDff/+9V3/eqjldW1hYiLCwMISEhMDHxwfjxo1Ddna2t8Nq\ns2HDhsFgMDRZl5OT46ziJ02ahJycHABAdna2c/3tt9+O6upqlJWV4cSJE4iNjYVer4fBYEBsbCzy\n8vJQVlaGmpoaREVFAQAmTJjQY94jk8nk/AvGz88PAwYMQGlpqSZy9/X1BeAY1bPZbBBCID8/H3ff\nfTcAYOLEic5YG+d9zz334NSpUwAcn5GxY8dCp9MhNDQUYWFhKCws7NHfi9LSUuTm5mLy5MnOdadO\nnVJ93lJKyJvud1P757y6uhpnzpxBYmIiAECn00Gv16s+78ZOnjyJW2+9FcHBwZrI226349q1a7DZ\nbKitrYXZbFb977WLFy8iKioKffr0gaIouPPOO/H555/j2LFjXvt5q+Z0rcViQVBQkPO12WxGYWGh\nFyPqPOXl5TCZTAAcxVBZWRkA1zlbLJZWrw8KCoLFYummLFqvuLgYX3/9NYYOHaqJ3O12O5YuXYpL\nly5hypQpuPXWW2EwGKAojr/BGsfaOA9FUaDX61FZWQmLxYKhQ4c6+2zIW0rZY78X77zzDp588klU\nV1cDACoqKuDv76/6vIUQWLVqFYQQuP/++zF58mTVf86Li4thNBqxefNmfP311xgyZAhSUlJUn3dj\nR44cwX333QdA/b/TzWYzHnzwQSxcuBC+vr6IjY3F4MGDVf977bbbbsPu3btRWVmJPn36IDc3F0OG\nDEFZWZnXft6qKfK0RAjh7RC6zLVr1/Dmm28iJSUFfn5+zbarMXdFUfCb3/wG1dXVWLt2LS5evNjq\nfW8eEeotGq47jYiIaDLvdGvz6a15A8CKFSsQGBiIq1evYuXKlS7n2Vbb59xut+PcuXNITU1FZGQk\ndu3ahb179zZrp7a8G1itVuTk5GDOnDkut6st76qqKuTk5GDz5s3Q6/V48803kZeX1+r9e+v3e8CA\nAXj44YexcuVK+Pn5ISIiwlnUNtadP2/VnK41m824fPmy87XFYoHZbPZiRJ2nceVfVlaGgIAAAI6c\nS0tLne1KS0thNpubvReN17tq31PYbDa88cYbmDBhAhISEgBoJ3cA0Ov1GD58OAoKClBVVQW73Q6g\naayN87Db7aipqYG/v7/bvHvi9+LMmTPIycnBokWLkJGRgVOnTmHnzp2orq5Wdd4AEBgYCADo168f\nEhISUFhYqPrPudlsRlBQECIjIwE4TsmdO3dO9Xk3yMvLw5AhQ9CvXz8A6v+9dvLkSYSGhjpH5u+6\n6y58+eWXqv+9BgCJiYl49dVX8fLLL8NgMCA8PNyrP2/VFHlRUVEoKipCSUkJrFYrDh8+jPj4eG+H\n1S43X7MzZswYZGVlAXDccdOQV3x8PA4ePAgAKCgogMFggMlkQlxcHE6ePInq6mpUVlbi5MmTiIuL\ng8lkgl6vR2FhIaSUOHTokLOY6gm2bNmCgQMHYtq0ac51as/96tWrztOVtbW1OHnyJAYOHIjo6Gh8\n9tlnAICDBw+6zPvo0aOIiYlxrj9y5AisViuKi4tRVFSEqKioHvu9eOKJJ7BlyxZs3LgRzz77LGJi\nYrBkyRLV5339+nVcu3YNgGPU+osvvsCgQYNU/zk3mUwICgrCd999BwDOz7na827w6aefYty4cc7X\nas87ODgYX331FWprayGl1MzvNcDxOx0ALl++jM8//xz33XefV3/eqprxIi8vDzt37oSUEklJST3m\nluq2yMjIwOnTp1FRUYGAgAAkJycjISEB69atw+XLlxESEoL09HTnzRnbt29HXl4e/Pz8sGDBAgwZ\nMgSA44P05z//GUKIZrdfb9q0yXn79dy5c72Wa2NnzpzB8uXLMWjQIAghIITA448/jqioKFXn/s03\n32DTpk2w2+2QUmLs2LGYMWMGiouLsX79elRVVSEiIgKLFy+Gj48P6urq8NZbb+H8+fMwGo145pln\nnFPhZGZmYv/+/fDx8Wn2qIGe/L04ffo0PvroI+cjVNScd3FxMV5//XUIIWCz2TB+/HhMnz4dlZWV\nqv6cA8D58+fx29/+FlarFbfeeisWLlwIu92u+ryvX7+OhQsXYuPGjbjlllsAQBM/7w8++ABHjhyB\nTqdDREQE5s+fD4vFourvNwAsX74clZWV0Ol0+NnPfobo6Giv/rxVVeQRERERkYNqTtcSERER0Q0s\n8oiIiIhUiEUeERERkQqxyCMiIiJSIRZ5RERERCrEIo+IiIhIhVjkERHVW7NmDQ4dOtSpfX7wwQd4\n6623OrVPIqLW4Ny1RKQ6aWlpKC8vh06ng5QSQghMnDgRP//5z93ut2zZsi6JR21zkxJR78Aij4hU\naenSpc7pkYiItIhFHhFpRlZWFj755BMMHjwYhw4dQmBgIFJTU53F4CuvvILx48cjKSkJRUVF2Lp1\nK86fPw8fHx/ExMTg2WefBQB8+eWX2LVrF4qKihAWFoaUlBQMHToUgGPqss2bN+PcuXMYOnQowsLC\nmsRQUFCAd999FxcuXEBISAhSUlIwfPjw7n0jiEgTeE0eEWlKYWEh+vfvjx07dmD27NlYu3Ytqqqq\nmrV7//33ERcXh127dmHr1q2YOnUqAMe8o6+++ioeeOABbN++HQ888ADWrFmDyspKAMCGDRsQGRmJ\n7du3Y8aMGc4JyAHAYrHgtddew8yZM7Fz5048+eSTeOONN1BRUdE9yRORprDIIyJVev311zF37lzn\nf/v37wcABAQEYNq0aVAUBWPHjkV4eDiOHz/ebH+dToeSkhJYLBb4+PjgjjvuAAAcP34c4eHhuO++\n+6AoCsaNG4cBAwbg2LFjuHz5Mv7zn//g0UcfhY+PD+68806MGTPG2ec///lPjBo1CiNHjgQAjBgx\nAkOGDEFubm43vCNEpDU8XUtEqvT88883uyYvKysLZrO5ybrg4GBcuXKl2f5PPvkkdu/ejWXLlsHf\n3x8PPvggEhMTceXKFQQHBzfrw2Kx4MqVK/D390ffvn2bbQOAkpISHD16FMeOHXNut9lsvHaQiLoE\nizwi0pSGgqtBaWkpEhISmrULCAjA008/DQA4c+YMVqxYgeHDhyMwMBAlJSXN+hg1ahQCAwNRWVmJ\n2tpaZ6F3+fJlKIrjpElwcDAmTpyIefPmdUVqRERN8HQtEWlKeXk5/vGPf8Bms+Ho0aO4ePEiRo8e\n3azdZ5995iwIDQYDFEWBEAKjR4/G999/j8OHD8Nut+PIkSO4cOECxowZg+DgYERGRmLPnj2wWq04\nc+ZMk1G78ePH49ixYzhx4gTsdjtqa2tx+vTpZoUnEVFnEFJK6e0giIg6U1paGq5evQpFUZzPyRsx\nYgTi4+Oxf/9+RERE4NChQzCZTEhNTcWIESMANL279r333sOnn36KmpoaBAQEYPr06UhKSgLguLt2\n586duHTpEvr374+5c+c2ubt206ZNOH/+vPPu2urqaixatAiA48aP9957D9988w10Oh0iIyPx1FNP\nISgoyDtvFhGpFos8ItKMrKwsHDhwAK+88oq3QyEi6nI8XUtERESkQizyiIiIiFSIp2uJiIiIVIgj\neUREREQqxCKPiIiISIVY5BERERGpEIs8IiIiIhVikUdERESkQizyiIiIiFTo/wPdTSylJO8bIwAA\nAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f8051a29d68>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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Ba3p4rtt+XcruRG7OrZloL3HkvDONC3Ic6LazAajrbe+OmqbIE90R\nNSflW18ZolDwHOnvmxahwufOir+BsvajsDWIF2Ydk9ti4KSj863fj0AZVmwMgqDC12KZNxFIM0H4\n19vBn3vcwkFwukjFdAOPTxHSl5G4t/0RIrojauU8dFpSfiMYVxmVLJAri4yQuvPD8qctlVXSNAkN\n3xpch/nk93mDEayGhAWyymX+RIFyw+c+lKc7gM0b4mSTx5bojqiZTv+Zlwre3ATOGCJfcvRfOkEa\npUF3RrH7qpL8VVjOHxxuCLs4xK48OiTs+EX5mB8/qmLJKJIPYbjFb0Nt4QtgE8d1Ptj2pfatr2F3\nNSJsqJlgVPjyhwGOOQP81Wf9CdfptTtWlOw2De9mgrJE5iGU2oZ4+1f2bnyGb/pU7BT2qGFYpB2k\n26b1Bt6jtWYsnshpa3i6w/J2CkNinq48nQY6Os8P5Fs2gU26Sm4gtmlk8d7vfiTdbv0+5vkbJaJr\nqJWUMcFMb9hmW0DYa8/nwhAvyGzCRcJuS7ArsDk1WNEXCREKEV9nwa4bDXbn34MNVMb1T44215Q+\nYjdd7kCAQBCZDHhLs/n7HQ3B7Jrz0plGqGyyqy8Am35L2Gp4hn+xSdztf+4oXtu2RdyvdCwGMGxx\nXY6s/EWnbJYDkTXU2KKXfJPNH7jTmfuAzltrunVCLkAx95wxcJnXZRUJj8ioXuidkVfDzcVuLTsC\nP/9Pgu6h52MxfN5szbVXpbAbxoFdc2H2R171KEQhKvVST8M2YMPasLWwQeAjoqVJeA0x37xRhlJi\nuMl2brKZQCuLc+9lKqJFspyIrKGGFW+Luy3Z9Sm5RXVRkNn1Y3wIR3di9stPg405w3k4QWKTF/zd\nxUhdMSogZQTQq6uKlCW3R7g489d5VRq1jABcdjC5NDc6lFabHU2NQIfN1I4Qsu4oDTvPDcqqUfn1\nxSAPO+4ChJ4/Bvitk2VWRzA9Ykx0DTVHuDTUIvaV75iGrRKFiVcs/tl6sAfv8h5iazPYv/6OzKdr\nPMuSh75MaH5XVQObPjXwE0yjxKZeL+yWpzuyF3QXPXR3HZqcauJx7rPotbMIZEadZDnNaY/DITVH\n6eW07Mi6mUCHxV2snHPA7hq1rEN3YTuApzvAG3dlf/jdfjuVHzXbJCjjMebdaByIpaHGM5nc7s78\nA81LRYFwyYniVxCA6NX4YviSVx1s2rDIizhsi9eq394G/toLoaniJL34Gy+B3TxeTrix+aCxqDf5\nzl0U2VH2moaffiJHDzPMNsoA4G+8CHbrX+xlSP1wNNHl8X+DjT3boSerW22M3Fp8rIVNSTmyiJPv\n/VuE0qXMiaWhxsaeBT5nhvFLzqPXyIrKc1yv3OglofJ2qfrpcerTj7ZS1wCz6ZOQ0V9TI7iOjad2\nytLKGqMkCqUcGWcIm3GrnKt+ZGDV3oTxcRmhy7a51hgM7ANC5Kgoh6O8U/6KjOwdonpENvZobz+w\ndEiESSwNNbQ0g2sXrvq9Rk02trtASysYX7/aJ2XcICl9oz1wmEVWWfKxSPLlSwH9xc8C4fEd28HG\nneOPUp4Ivv7yj96310G0LBheR2xS2F3UAd7RDr5yufFLx3tdAjql3gK27A1rB0U6BlA2ZF4baCbr\no/eB1R86EO5qN4ELP5L8x6FtjxExMtSsct7PUuHDjjezE9YtgmK3XBHs4YpWjVXUDWEvBHk8h4cv\ncmeyTWiXsVjeKSLpKZoWHjYTOPISrfLO31wAdtuEsNWQBn/TZoe/tKrhs/UQinFi1WkI7Pr0k4jV\nmzgTI0PNh0yP7Bq1iOMkK+JeV0Uam0jGUURvUcV9iqDs6uekPke5E7Edcc93wB7mk0Nu+viGNdmR\nYBPYY/eDr1tV+sIgetzJCQF+YZae5dzH5MtplOtSmRAjQ00QHwoNf+LfRb8z142WHkY2IH/EuiIq\nFy7n8pOvrgd75mFhb9xiF5tNgDa/nSIxU03XNhqEkXOaGX++sZdNn4Jd9XvBcMWcWYtwK8SncliS\nZiHtIJTekTuXx9MdLsMymh4W88nun2K5OYa/8CT4wudLZBaVo1yasuctLlR3Q8l6fV/unhJ0Jqdc\nZiaOA5N9a4/ZOW2EdOJnqBlNE/o9oj1/bvEDwyMaAiCOXy6SdGYvPAH+1Gxx9xcMB29KOQ/I1Tlq\nLnHaAbjpMEx24vGNETicVJe07KkHw9HDT5qbwGbcFrYWlvA3Xw5bhSz6+mr4AeLFODd5XrI0Rfdz\n1Qp72b43zS4C0MZjwxrwD8xGHt1tJuCP3p/9Q38MUEnghFfiZ6jZEYEv1GiGYadCGNNGotvlXdLW\n6t5vAZlTiJIoGQwSnQJzm5YS42eRVvyZR3J/2OlptjBf4KgC4dleOXHmG9aAL3lFiiwx7PXO/G1s\n8QXarm+6kNtu8YemG8sPu3kM8xihQpmWkAgiZ+HlyFx0qvBxK/yt19xqRAgSP0PNsAENeBrDL5yq\n7aYzkWHIOpIRs7zwa8NGiKOh/GvdJe5Oy0BkR3JlTitbvXMYf0fOPcTBbbZsXKvbRR7R/A3LQAvp\n1CPfKSwHEVBWyq0chCwib6gV7lMTPVtIeqfiQyPm9hw1yXHjcVro6kZXxzOLHCg5wd5jmlvp7To/\nTXYNm8h2dZ2ZW3Y0gM241R/ZXoqr7QJ9D7L9lFUiW3Mgq1E4wmVK22Z61MkvjNZAGcVvdb3/uoRF\nkDv9c5ieUUqERuQNNfa0+LokEXhZfSmE1MI6MTAiOxpjwJefu/JWmLKLEtpkb2mSJ8sGvmoF+JJX\nDWQ4ESLu1DW2+pQuWo9OWZaYQBzwc0e9p/aWl/zhjTh9mDpl41qwRTbHnASJ4Q0PhFsib6iVIFTZ\nLNzs2iEUDCuslwhjx0/EG5Qya/AyF56S+yMdriJ2RMZQcIHsheFGeDnR36+kjZyRl6Pk2j1/YBed\n6sG3g6ufpBLA3KfQcYICMjVynGy2cqwLESrxM9QCgr/xop/S3Xlz0aCK7+6LqPHlqRMRjFPeQIuL\nASplnaFPbmXgekZYRFHRYxEMfkTN2DLCbFXF6nrwFe8Yv3QdLQuPUtLK6PgPn/PAS90Ko/2ISZNF\neCP6hpqrAbQYNKiucB4v9rex5i/jYpgEhnh6cJYB//gDjyI785P/Z5qALMqvIrwkh11aRjWpi9bj\nintjd94INvU6Yzl2xMFA9YOw460o6FyPKPEKKa0sP9uULlps/CD6hpoZYVciT1if22OOzqHUJAgh\nPX03PGSc1Goi46MPwCZf411+Dr7IwVlWQmVf5pEa1q8zo07q/GF6EXTE1qiVYKVfMArx1mbwVv1m\nliCIUVvq6t5PB0dcKIr7vsWRPxcf3UsXAg3bHPsj4k9F2AoIY3n3ZMDheZZt8973XWMB+IkEPh5F\n4uBMIum4XafpcjRGCjLrUz4aXo7BsNPH8LWLHZX5NBe4lJ3dcGn2CIXee9rItzxLRERBnRe7HbFh\n1X+JZ4hZEoRh5h2+7HVrB1+TEVeuxMBQi6uRYEFkohQZRaKBo3VbIaSd647BwB9lfTGWaZt/50ei\naWRu2Zz939ZQI3yDc/f1LGoftHp9oqYfIUwMDDU9znbCWIvyt+Dy1mYgfw6ctUvd/6J4/KLbsM5A\nB8nI+uoM4uJlJ+XB7XS1lsA+yPU6dMUG2+Gokady6/ci+PwtCzI22ngwTAh/8at/Ciq/qVxJQ8hQ\nW758OWbOnAnOOYYOHYrhw4cXvU+n05g2bRrWrVuHZDKJsWPHonfv3mhsbMTkyZOxdu1a/OhHP8Jv\nf/tbFyoKZLabZQsBwP/7KPjzjwO77+XMYxCHGra1gde/K+Y4rhVORkNnGveAjWrHaMJzfUWQgSxb\nZHQugjJk9mNC98L6MK0oGzcXrEe9fpvlc9T1Dhn+yUqwZx5B4hrdAdRF7aJPxmBX/Bb0EdvNBIwx\nzJgxA1dffTUmT56MRYsWYfPmzUVuFixYgNraWkydOhUnnngiZs2aBQCorKzE6aefjnPPPdeDijK+\nHkPC7Fwu06gEF0d26bnglpdgB7AzSEhsDPM9qkSu8XT4EeYJG0EldTWgcmd4q4pg2Ab1kv93jqBf\n7Q+3a7TceRPGbn2fY3lyxBTQ9klBTCs27nLknK98D9iwRsAltbFRx9ZQW7NmDfbee2/svvvuqKio\nwODBg7Fs2bIiN8uWLcOQIUMAAMcccwxWrFgBAKiursbBBx+MigoJM6yiFYEjeh2SUyPTUH/Jlamt\nRa48M8I0sB2HHbWCo8O044qQ3maq8AA+uIQOCDUJnxlcV1Two/u/HBC8cBtAtD6SfTeOnCx/8BC+\nmzRd+7GBHMtAnIdBRBJbQ62hoQG9evUq/K6rq0NDQ4OpG1VVUVNTg8bGRsmq5gmq8MncpSZaoa3c\n+Xyyexh9fVBf5GHKtnCnOMg/3uRXfSL4ti9lS3TpTXStqvcDePk8zSn2rg8YNnpYvsZB5sY/g736\nbLCBylwqadgW+Zlf5VsWgsaXc9SkXvZd8iVutDdfd+xAVMpHlL5EHRPEQjn/g3CEo3YsOOV5w1aw\nP51pUZ4EF6/HuTj6idD6tHLGh4LhV9sX5tmL61eDfyBpU1Nk6qJf6Rm1xj3e2M5J1tXVYdu2zvNZ\nGhoaUFdXV+SmV69e2L59O+rq6sAYQ0tLC2pra4WVqK+vR319feH3iBEjAADJZBJNFZXoAFBbU4Nd\nALp3645mAIlEAslkEjsAVFRUoCb3d1VVNSp71KAx518Pa21CfqY/L8OIHbmK1KNHD1iNZRj5z98m\nWlVZiTZkRxmZxu1ORS0qxt26dUdVMonGXOPWrXv2d/GtpEqJnJbqarTZ6LVD96ytWzcYTXp279Ed\nlVo/Cgrpq6pqUTxbqqrQZhJ3fZgVFRVIm7jN1PRAvos0k5Xu0b0o/c3cGYVdU1OLhIV7rdva2lpk\nanqUhNVSZZzG3XLlMKnJJ61u+nQ3SrOdudY6WZLXxX4zuxqQQmc50udHvqxqn7VVV5fkc0UigTSy\nI3ndNOXALk07undHk4Vbre76Mlp4v24VAKB7jx5oyr1vqS5Ok7ycbtXVqM49a1/2BvJHwCaTtdgJ\nIFmb/b+6ugqtmrAVRTHVL18Wmqsq0Y5suezIhZ3uUZrv2jRtra5GK4AeFu2KNqyKXJsFAKqigKGz\nHujp3k1T7xQF4NzUbT6O3XR12Kjc6XXcqSjgKC1rydpadHTvrknj0ri15NqxUmU6/eRl1tTUIIXs\n+uT8dexVVVUlcnclEshPNlckKlCrq0f5dr0jF07ef1NlZSHftDKM0iIPT3dgJ4Da2hqotcXveWsL\ndk7svL2lR48egKKgEdmlO/ny1alTArW5MFKJBLTbdLrp0nGHJh30eu3g5voC2XxMJBJQc2VJNYlr\na1V1UR3Q1qVEogIZre65+t+9e7bM7QCgKCpqamtg9ali1q5ZUV1djYymjnUV5szpXCPav39/9O/f\nX4pcW0Otb9++2LJlC7Zu3YqePXti0aJFGDNmTJGbQYMGYeHChTjooIOwePFiDBgwwJESZhFKpVLI\n5HYxNTZlq0BLa7aJymQySKWyxSud7vy7vb0NHc1NBf96eFPnyd9aGaUOs/81NzUZv9foWPDS3gal\nqrrwu70921Sx3Fdg3i3nxVWutaUZbalUIczW5txvHSy3jiYvh7WbmWnGcU+lUmCtrQaugZaWFrRq\n/XBNOIxpdOfgORmmaachnU6butXmhZks3lx8UrtImHmaGlNQutcIuU2lUoAur1OpFFibcRq3trSU\n6GOmWyqVAtv+VYmbfDmwilMqlSqkUz7/tfmRE1Qixyif0+lMzjlHq+a9XZrylk6zwM4ty+0w1bvj\nuTVRLbn8TKVSYLn6oXfb2taG9tyzzJz7NGFnzalUY/ZdW2tx3nDOTfVramyEkkqBdWTLo7ZcWpUx\nrZ7NGt2tSGt2XubzLB+enpaW5uJ6h858MkKfd2b6lKS/QRkBgFRjY6E+m8nKx79UmVI/Tbk61NHR\nmQbt7e0lcplmJ3I6kzasR4U00+Qry8lNpVKFtC2Kj1E7k+9DGhuh8OKhLL51S9Hv5uYmQMlONLVp\n6n5Bp45OXTPa8Hm2Hde779Doa4RVWcqk04X+jxns3DZqn7TyMrr+Ip2T0dLc2dZzztDUZH0bhpM2\nN09bWxu4RdtfjiSTycIgk2xspz5VVcX555+PiRMnYty4cRg8eDD2228/zJkzB++8k73kd9iwYdi1\naxdGjx6NZ599FmeeeWbB/x//+Ec88MADWLhwIf7whz+U7Bi1hZf84RF/tibz5kawP54Grq04gsP/\nvKkR7OVnpOrjF3zuLPAXnghbjfCxmILhBh0IX/yKn9o4o7kJQZS1zKiTwFfX2zvUY5q2znVmrz0v\n4MqgnjZbf6AJy5M9Bci1u6UkyA7rEFRtunz4Ltij95u7jX6zKARfXY/MHX/L/hDNulgvnyFkIbQd\nc+DAgZgyZUrRM63lWFlZiXHjxhn6/ec//+lBPVH0NVnmPYeCsnJfnfx15x0Df/sN4OMPgO/0tfBT\nHMfMqJOg/GS4iVsXlDSGxq0j37jWmdyINTTs3snAd/pCPe6XpS+NOi0X6tte9ZIXnZuOsneoD8DD\n7sY8n6wUCVlMloVbnhtJNEQk8pZXx9nrxZe9kXNr6cpGSIyPCJKBWbxl7mWa/6Q8YdJwGkFr9/y9\nxcAHyyzdFItT/DekfVuiVibWdUSIwaXs+mswAgrWbSPUKDLM63VXWA4WQmWQWgHtZfEvNkkMD+BL\nF4K//qIMSeav2oynl/3DxR2UfukY5LU1nmSLpRl74J/gr70gITwTjC4Zt1WtDAxGt2mpNRpdFHtL\neX6giaf83cU2iMbNjyQIOq5lTvQNtbhY5rlKUXzgpPuDKw0CKPzFnviPI/FxhXd0gN9/uw+CTdLb\nSVHLH2mmMyTZ0oXg+fwJDBd1xLd65UBuEOU331m5/TZ67QVAt45JwJdWgWI9hP2ZUCQngm2jRTx5\nUyMyf7/MhVBZB94KyPEzSZcv1fzwXvg55+CPWUwZl3pwH1ZrMzJT/iruIZMp+/4pSKJvqOVxVMi8\nn3HlOFxDdxL1ADqNweceE3PvJSwbHQKBWxxC6oUvPpMnSze1x597zIfjHozTnC14BtxiQ0k00JU3\nWQaLgD++cS3QKnKws+jIQ6c7vmoF2MP3ZP/+8B2w6ZNsVAvQ2IgCRnp+ubmw+9e1rEjH34ezLgsf\nGgay7dpHadffAfjqC+BDwSsHCenEx1DT4/qE6iia+SL6+33grWSjUgaBGoXaRdpFSph50P3vBucG\nQpEGD003Pq3cIVLPPZREZtpEsFl3wkt9ZX8bC6xfbfLWW5zZ0w+Dv/x0VtLiV4XXJVojd02UNDFO\nyjNM56IAACAASURBVIfDj05p4YaO2Si9hzgE8VEtHIbT23XilHfRJ/qGmuMM937iLZt9t+CXuDZY\nozBlTn0GjSwjKYqGsQHrVxc63jy8/j3wLSZr5KKSZyHokZl6PdibC4xfytLn/bc6NwL4FYYXvvxc\nkiCDuNS/J0m2N9gj94LH/DBg9sS/wZxM2cWkuYoDCiWmNOJrqLnewq+9xcBkpOKV/9q6CR45evB3\n3/SoRhhXa/kPe/oh8KULi5/dfi3w3pKQNNIQlSKYZ8Xb2Z3KvuOgLtuKklDWopYPUrA4ZualecDq\nevM6b5WmEWk3+duLgFUrcj/s3bObrwDPuzeWaPHOeZzZg3cVznkLDhd5E5H87KpE31ATwW0h0jU0\n7JmHSyupFGPCRr8g7RWTr3Xe0oTMqJOQGXVS/klwOkUBNeHIufC1jDKR2FhyreK+7sy0ehlm4x/X\njid69ZKndtk70sAWvQxs+tRBAM708Qr/+IPs/88/7tRn6SObOstffRbY0WDhwkM5VfXdezhlhzfT\nPcVeiY+hpu9MXK9RKyYz6iSw1+dnxTw1G+zxf7uWVYJZHSs57V6vv+AoosQOlhvEm8tYdG/Vztga\nHgF2piWNmn/wXV+Dt7ZI+sBwu53RnTdjHSKCy2MYmOYKIWs87Lj0Y0QiY3bRVEDkygD7yx/E3OfT\nYPWHjuSHhp2BIdIHhRkHoc0EomsKnQbeKZeNOdPCHSGC0IG38UJx3ih+tr7zb9PFxy4wqwMtulPP\nw26QACC1s/SZ0ZeeVF3jOqoBeLF02KW/Bg7/voPY51yaHRMhqorrvJOZTw5kRaBaeCbuU0ZWZSb/\nSrOOjS8XWCogunTX6LBkp+lp4J6nOwA1ASXAj7MShAcauIAbgTAsZYikKU2XhkmkR9Q458CajyRL\nNSg8MgrU19ssXtpUsq++cBdmRCoC37wR/OvtYavhDacNoUujh7//VvYPy+kOHX7ks1eRG9Zopsk1\nyDDkueYPy7g7MfpyQmWlpcFRaZbhisjxQGbsWWDPPOLSt2UEHL3jbo7fMOPTT8zDeW8JsMX6OkLe\n3mbYtrJLRoLPmSFDw2ijhNi9l8NHVoSItKHGJo4tHX2SSb4wSWi82Q2Xlj4UFZsbzYriMQkAijsb\ng7Rif70Y7I7rjf2GaUwGciq+szDYtInZPzylCy/+040oXvyDp3aB60ZV+dqPwRtN1h8ZjcDaB2Tw\n2wv+5K/ptVfaPNuZNbTZ/LngTtZbecUsyo0pcAlHtTgiqPbK4By1/HIVS0pGoHNy0mnw/CyK03po\ndpaYovhUHC0OTLYLTz9i6OVkAsftVUT7spgSaUMNG9eVPrNtHLjcBsTqrkJhBK+r2ZC7R9N0hDoC\nI2hmaWtwEXmJ141rjUdhHKvA7Q8YjTqKEqmZXzbubLBx5xQ/u+lyw7WLlsisewGNcpbgYISbP3of\nsHmDvcOiU+m1ArQfQcLBmmnjVUAgIgMr+CJTin6HlWuzM7dNkBseYD/bJDz1SUSdaBtqkmAzp4C9\n+mzul8MRkLtulq+QLPyueCKXXu/82trtu4sLf7I7/qaT71IvzksOGM1cPwbcwcnZgY8++AXn3vuc\n3C43Y/keb4fwdOCnw+dugjC4k5A9NlNeAE4Q+NgJ3rgP0NiRCG/YGnygVnmzcrn5O5d1hP3jKht9\ncjfZrLLavGG3vMAl3Ce5XZQyNNRKNxPwRS+DL3zel9B4S7PFKJHPBdXvdlIxGHbXrAvhrc1gf/51\n3rG9vFyDVFjPZluRHfTUn60HXyl+UCi76XJht4Y4WWPmFX06Mc2Oqil/dbn7TyPj2c4ryXjJQa6y\ny7CPJ9JblqfCOoeip+zKUaVOvV7L5cd1d5LCLVleIbkNsT7kNLiOm40/v3M9aJzxkmS5qc+CQVdY\nreEm073lnf5OZMIZsTbUnHTMJhKy/3mx/M3W8GjlO4SzDDJTrjN4EfQXrFIarmYqmD94d+dzVUFm\n0lXI5NdgGZE7q4y/vxTstefBXzNfZ8KbUubTbjlDxcmaPv7hO9kFyJIoXIbs9sgUL7uLRUa5nJRp\njc586avu5TjFtaEeTfiOADbUOJ0N/qrY8Ob3/MOhAIFdn+LCsv8FNdJis7ueNzeCXfG7Un8GcWaz\n7y51p4sHe3KWkFq8vQ1oa+180LAVPJ0Gm/+khSc3uz4ldu8es4z/1+1GFwKI0/EcRpXnqdni/nft\nAN+6BXyuWGUSRqQCaS9zFjmbrDEFfPiOfdBfBzu8z5uLGz6ubQiN1hPq0eyM5Q/caRxGexuwZXP2\n+ibdlU6djszOLDIPmv3rJu8jJTZh8o/eBz7fKD+MBqsdxTLghn8C8N6p7trh3q+dEVyyT8G6LvKO\n9sImAEvMrg2zgV12XulDwfTLTBznKswidIdZ84atYFdfiMQ98zqffVLvSKQvp+a7LFPc6bV+lsK4\n+TWBBuWIr3jbTqB4udHtVmWTr4F67RTwR+8HfnJy54s2d/HlHc7yjF032t6R0zzzcw9RFyQ+hlqB\n0h1AQuzaAXbV74ufiRgXTvQpoXREir/1mkeZGmym30zvqXQJG3OGHEEWX3rsj6fZ+9eMKPHmJkAV\nOdjRTqb3loQ98E9H7vMnutuNDLNJV+oeeFw3psfuaBUX/Wp+tJM/+YBzz76MuCjgj/9b0uXpdkG5\nOIx7wxr5eqQFp8Qt0pvPuA34dl/hIPnGtVYBCcsxksv+NhbK948V92T1gcMRnvFgtFQhpwt76kGg\nJpn9sWUzsO+3HYvnLzyR/UPknDgOsSlzoX6rWDBnGY3/heBn/h5KPm6EI2Iz9cnunSzmUD8cPXOq\nudvCCIuHjsFpZRdpuCVNcbIb/1z0O/OXi8Q9c4DbdR4OOtSiSjvLeDStc8OHnbD8/xzs2ovBbhpv\n7yfCC1vZo/dLk8VTO8EevMuZJ80xBvyZh8HbWgujp1zkGARDRTwYk27Lf+4kefbIveAlHzHc2+ie\nE5zo7zSqX2+zN6xdC9f41BpcTtZj5soSl3lwOADsyh0H42S5g51RnnJXHtjr88HmPSSohMHonEXa\n8GceAXd9Hl5OhqOjR8TSkz/3mL2jEk+6qeYP7EYlCTNiY6gJr+nhvMju4otesvfj6Ugr84Je+LLR\nPtssMDUm7UtPFzEnI2yZdPbogRzsBaP1Ew4Mtf8+au9G1MDQGgE7tgNbBY5T0K4JkYrLEV4tjqcV\nLIygVSuy9wfaybTQld3+V3mjp55wucbzpXng9TY7gN3UeTfGvsA6PLbkVUci+bNzBB06ElsE+5vA\ntVod7ebvLM6Wc2f86yJjNQooZFhy8LffEA9eszuYz5sN/rSgoWYU8kPTDR7KafT5p58A776Z/VGS\nRoUv3M71vfld+7aCXeina3P5fbc5l0EAiJOh5gIuurYn3eH+fC+Rgp5b0Ms5B0SuWDFrYfUVz+6I\nCVmDSJx3Lp53K9/s+iM3+LxzzRFej69wFabFO6V0ut0xa1a692sXrmLyt6Es92oYh639gnMvpnRn\nrDf4QwYL1R2QufBky/d865aia55s9dFtQBBa1+c3+vyyMhI3mE2/6j6qbM4+M8fF4bO2SCrsjZp8\nttpM4LR9cLrcgvOSNZOEe+JrqFmtA2nPVeLNn4rJ8rDInDnZzSJ6to+s3Z3NPt7qADgbYZA49cim\n/DX7R/50/HyjHYLRxP55Y+cPt/kmcfrccrOKhBE//bpHbtaAiwTltpjzjL0bQytQThnkL82zd+QE\nr/U0Y5Ie+VP8tWtz9aNNRpu0rr7Qmz6+oNPzo/dNXbI599qLW/tx0TE3xUFJ/EKQ1e6JbELThaeY\nhZ3JOJtClr0mlnBMDA01zYiBUWFTlM61CWYV0UymG1ydYWWHcbwcVS6Z53yZNjZODDUpmmTJjSR2\nnuGWxewQW+7Hbk/DgIIa2jMOh2/eCJ7bCc3tptNcqsqm3VD8wOwgTyl3fprEU2CtS8lxABzORvOM\nEO10nUTdzzLTIHarChdd/+sBzrmYAWWCox3+ubWKtshsu033MwmuATM7Z+ydN93pA5huJmB33ezs\no9bCKCaCIYaGmk3B1xpwooVRZHeMGX58bRhF0WGDzu6fIkcXKxx1diEs5s/vpBLZSSolPBPDwmzE\nw3U4Js/TmumgVSusZQhNwefD0wT4pe4ibD+Ob9CspTGECaSn0VS7tFHdeJw1wG671rmfxa/4oAnA\nX5xrf+WRFU52xQqeH8Zf+a87XYzOy9OvxtgluPYr794PY9kqHZwsRXHTx9F1VVKJoaHmANGvGbc7\n2wDzaQcvmOktcqdgQYZEA9JEH+tTyPWOJU07bVrvTxhSRoBM0tzyUGQ7kQYyzcKxG0H2bUOFlpwO\nZqMVjkabdD8Lu4XD3cHLP1gmT1YYVx1pYLcXG3P8CYd3uwrCJe5stiW/JKJEieBU4A/dk/1/wTPB\nBaqnZC9BZwKwCX8UFsOmGhy+TgRKfA01kU45CKteZMdhHg8dtmNSAYQlcY0aF1zszGbeIR5m0JhN\nN3sph4aGmtnaGhvj3O1hvG4M4M8sDOo8DtOFL11oq4/V0SRF08FejHqZBxB/6sP5aU7Q76ZvFN90\n4Bc8kA+KCONg44eeIsOb1paVDfE11ACLDis/5+XDaJceBw0bm/UvQZcma9ScYDXyJAsn56h9ZW3Q\n8pcFvzyt1t7pp7A5j8bl614MNaMRWzODzC4ctx2g5UnnJtO9Zhe9OynGmbThlFd+mshoJzIXPYsv\nKOziG7XO1MsyEBOcXPUGAOziEeayRA4s3nt/c//6Ha1e0LYt+l2oEZj6K0mrANtC/q6HtXVECfE2\n1EzIX8AufW2QVz79RMyd4Rq1iDXogLO7M23WTAmfS2R1VIBRQ+Th61QW7HKDq4W0WBjV7Irflj40\nW7rl5hYAAQzvOTQjvzx0+VJrZy3NRXnOZO+kjAlOjRjfifDB0CLwtlbLHZLsYYENDUEdjFzORO0D\nJObEz1ATadfy62PiWliM1veIXgcTJL4sJJeIooiPEAjcrRoKRiO2nCMzbWLpc7sNBG4xMo4L57Xp\nnucND7sOX7eOiD/ifkdgcLgwYnT3Opa+l3vNm2fiPu1odcYd54DtnZ0QPwrDAh6TDSdBE7kPk5gQ\nP0Mtb8SIfPnF1FBzdT8iUUq6A2xKGS6E5Rx4/63wdfDifZ3FNIzDS6WjBn93kbhjt+sGYwQXPf1e\nTmgBhlUGBH33Jl0j5YoYGmq56UxtR6H9W/ulbrSNmug6+HLGXRSIcGeU/4Aymebn67PP+XOPm4qw\neucW/trzxb/93G0ZgdHvKC37yIhcmycJ/qHN1WFB0W5xc0KEUAYNDjQ89uLcQMMrF2JoqBk3gvkD\nA7UX3vK5s5zL3+87brQqb1pb5MlKfkOeLDvaAjroNmgiNH3AV9frHljrVtgAYDUi7sMBxSUXYev1\nFiFGy7eYzbVSQdLu9rwyF/CoGAIiU6xRoHv3YMPza3lGmRNDQ03zpZhbKM4zGbAJF2WfeWzkE9dO\n9eS/LJG4IF+97EZ7R5Lgqz8MLKxAkWk4e4S/rd+F5+N5dF6Iwu7fLkrHGy8FF1gEjheJFREY/SXs\nqQhbAcfkR9RWrej8etdelSLz8m9CPoKnhsvA1Ygq4Qy3V5VpDm/mdgvuo0LMd0Q6orpb/DcWlBCd\nkeiowF9+OmwVCAHiN6LWvSb7v3aK5Rt14ehSbvTaI4BAJDeWfQ8Vc3f49+WGSxjT4ny0j/3lDz4o\nIh/+7uKwVQiMxLQ5YasgHy9XWBFEiMTOUFP22rf04eZPA9ejLNljb//D6FErVZz6Z8Gp1ABHQ5Sf\nDA8sLF+oze4EU4ac4NxvW3SmZWXDn33UP+GJ+E1uxA129y1hq0AQroidoWa4fsXuSpc9DYw7I3w4\nlTtOqL8b538g1faLV9XxN1u/nzQz+0dVNZREwj7M//lfKAMGAd/uK6CgJpwLrwD2/bYjPwCgnPJr\ni3fnQr17LvC9I1H1s185lh0Eyim/RuKeeVD6/0/YqsQCdaz3I2DU318mQRM5KD/+RdgqEAShIV6W\nSY9asNuutXenQRlyAtSrJ4s53v/ArJ+fnuJMLxln0bgwCDBAbkeq7NYT6h+vduxP/cOVUM69WNC1\n9dSn+seroPQ9FOqF403dKN+sgzr1Yai3Zs+bU6//p6XMxB+uhDrkBCSuuVVQx1w4g34A9bd/cuQn\nq5BVtVKgqCoSoycg8a0Dncv2EfXuJ3N/ZPXnMR4dU378C6hTZvsfznEneZcx7OfCd926JZ+3yveP\ntXd8QL+cJ7ndgzr5P1LlESYccpiYu77fFRapjr/JsRrKGb937IcwJl6GWoXg9IB2rVXf70Lp3kOs\nUOamx5RDD3ekljphCtRxfxNyq5xmcCUQgMRfxS8bVy++JiurZ29rd5f8xfnXscV6P8OOr+93ofzP\n/0L94U/E5FdWAt1rstOD+fWGefmjJ0AZeEz2xxHHWIpRuveAUt0t+7fF3X4l/n7i8NgCp7uIDz0c\nin6adZ9vmSjjw3Ssh48GRc2OTiq5DxZ8EbFT8x2i9KiFcuYF/oYx5ARgL/HyZ8he+/p+5p+iJrKj\npD8fae82f7aW7APDq6qy8n/0f3LlukS9Xa4hrwz+sZjDgdZtW5HMY4Z61iNxzzzAoE9TvuNghqH3\nXo71gKqb7ajuBuXMC53LISJuqO13QPFvwTvY1IuuLPyt9D8i+7/IovO8oZbzI0xVlbBxZ1WZ1b32\ns/acH4Hp2UtMr+Q3gKpqMbcFzEe8FIP1ZerI84UlK6ecm+0wpj4E5dTzoN7+YPH77x3Z+XeuY5HO\nN74p5Ez9wxXZPxzufUgYGOzK/52m+dH5Z+Yjk4vL9f5/M1o4fLMPATvyX8yJe+ZByZUzszVZyv86\n7zxskTg6rI6+FsqJuYu9t3fuCFfOHystjE4UKHW9ofy/491L+E4/X4+VUE7QTLF/077tUEQ/iJ3q\n0a1HtnyNEG8zXDHoB9Z6HJtbe1lR6U7+7lmjRdEtXVCOEhitBKAccbTx81+cAeVHPyt+6PSoGkUB\n1q4qff7R+8W/v90XqKxyJtchyv6d/XfinnlQBh8HVDvtjwgg4oZafuTIMdodobk1TMop59p6Uw4S\nHwouwoExpFiMeCg9akzfAYDyA52RZ1PRlAP6OT9g1kSmaUekOW5DnXiXtWzNejJFyU4BOqab8Ro3\n5bTzDEcLlJ+dqtNBtBNSiv4zQv3j1VBvvs9e0gEHaX50Cmxf+LyBa10Y19wGdfBxpTJPPQ/qHY+U\nPv/uQFuZhnyrj+krfd1RfzsW6rVT3IVjglEc3aJ8bxCUXLnnS17tDOOYoVCvuU1eOCf8CuidHb1X\nfnmmezkHHAQ0N8pSq1T+0UM6/+7eo+S9OsbZchJXDOw0TpTKSvdGkgDq7y+3fK+cck52BiThrP1R\nb5sF9DkE6p/+ml0iwnRfcUYb3YzC32u/grFXJP+kM0pHnBxu8FIn3F5yj66huzMvAJiD2yt61EKd\n/pQjXfTGnXrG76Hq+zBCiEgbakqv3YXdqhM0HYfGks93zCXTUfqwfn0JlF/9xol6WSoqoeQNtdrd\nnPvXwNuz5xYpQ/8P6mV/L3mvnepUr5xUNAJlhuJgHQIAKCY3MygDBhl72L/TvbLnPo7CcoPZdIX6\nk5Oh/vKskufKifZTPYbky4vZvZO77wVl4NFQ6jTTz30OMXbba8/Ovzeuc6ZH0rhMqT89GYrOaFXH\nXAulZy8oJ/zKfENDfhpWYAQ4b+QWRiCAzg0ZuT7KbH2gUfktka81znTHpxQMYE2aKudcZCszv26x\nQO89i3+nxEblRVB/9WsoOYNDERipsiQpNtJrqMf0p0xHnxP3zDOt0wW0m61slhzYoZxtnEfqRVcV\nP7D5KPWkg6oWfRSWvK9JQjn08ELeCcut3Q2JK26Bssc+UAYeXTrapZ0qNgk/cc88KAceDOwqNqby\no3OKohTnZW55h7CO+x0gdPG5cuDBxYfHW7k9fyyUykrbPrTUYxc6d9BnIm2oOUE7zFo0DCKyKxCA\ncsQxxSM8ojtF09qOXFdB6sQNTQBQ84aYmoDSr7+FSyVb0VSJFcFudGugyXC9fh2Czwjt8szz7b5Q\n9EPtotcv5ZO2pcn4dZ/SqXTTNYOatOVvvVb4O3HwAHs9nBzbkNNJ/dWvzctPvjPRrz8ySBZl2IlQ\nhp5YVJ1U/bSVST2xLr85N7l1jcrPT4eiHclVVSh1vbOdmmbkQWS9jqIbQVa+c1DO74+yD3LxVk4f\nZS5EYGREOV3uQmnl+F+69+ulQ9z320V1Qr3wCveyANORshIdXRx8rZx7cedGB5s4q7fcD/UGgxF+\nmdO6JXWoMx2VX55d6l67dEQzmpW4Zx5U/YdVPh2t2qt8WuhQRNoVQGjkDQCUgwTlEb4RO0Ot0OAC\nnTuYLM7mKvpqslporZch+MWnWuwkVA47Kvt/bt2Q3eJVRXTtWR6Lxb7qVf/I/vFNk80BuxV/wdvt\nXjMykJxP9wT7haU4WfdUslMqp6vJVKuRYauYrNdTFKV0RAGAmh/tMdtsANh2LMrvLi2MchVNa5k1\n8CZlpsSgRXaUSNUvxs93kDn5TqevC5s5qrsXdFH15Uiro3Z6yeijwK7jzXeIecM6L86qAzR5pd21\nqPzQYClA3mg1mNayw3BdmOP1pTqZZxkv3NbuqFZPPa8ovQ3z02yULV/eiozpH4kp52TaDYB6071Q\nf/iTwvIUZeiJhu6UUX/O/r/bN4tHsvNy7nzcPqz88T92WBlqBumgDNcYb7nNIyVr0jqF5dyZp5Ni\nMhBglDZG60r50oUAskatFU5mtgrU7S5/M0oXJnaGWuFLrHa3zgvUzUaW9LsK9fd4du9RMFhKvvjS\nJlNeevbRHKuh3zGZP3Ij1wgrNTlj0GwdUb5TMvtazD/P/2+l4x7Zacgi40+z20i9+C964eaytK7O\n7zxrTRn685L3+uM91Ms7t3UrB5mPsohMazmFO7kAuOSLP/dbvw4lj6ZDKxjr2o5VPw26t8FGkVwj\nbLlr1WYEUT16iLEbI0NEUTuna7TTNgJT6J1y8/7c3TCRX0eoXnmL4E5Hg/Wm+aNgkt8AdrdZw5PJ\n6VswMHO/87t5jT7y6kxGRjUfb4qBEVXodGt3gyLjXDQ7Q03Xjqh/6Vx/p07+D1Sz3ZXaaebuPUwX\nrOd3jKvHmYz25T+CNbvs8x902hHCKqMDoLVt8977F90BrJx8Tqku+TAqcjtHT/ut4YiScuTgEl0K\nv0/7bUk7XziSpki30nV8JeuDAQNDzXrqs+gA6fzIrtkRFvlya1FHlPPGGD9XFEA3uq/+dqzp9Ljj\nAQIREgky1CQSeUNN+cXp2f/zi8LzHaSidO5m0g6jf6Nnp9//V7xAWenZq6gxg6KarwHIN+BFU6oG\n+lV2jtipf74B6qUTO98d2C/7talb55QYe73xRgmu61TMyI3y8DaLoyMMZKh/0JxNpt+arXGuHPXD\nrPtppbv+1GN+1LkuyWCaQ9FPkeYb7uFno2hRvV7usS5OwbdBMTgypHD0BGDYIGtc5v63N9QKGza0\nz0SmWHOjCtzK4M5NfVou+Db66jYaodE2ntqDh52Miu37nez/u3XWM/XG6VCnPNTpRmtg9NoDOPh7\npXK+0bNkVEW9/s5SfbSjFPld2blypBwqsHEinw6KLj9zo5nqFaWn1ZuOxOaPLznJeCRZzY9KJyqg\n5uoQHBwdU4pxGVJvujc7kqpD0W4IET2mRU2YbyA69TyoU2ZD6dcf6g13lzrI1W3Dsxe7ddat6p+U\nGnrKiZ07odUx1wKajzjl+JxhZzQymSszSkWF4do7y6UY3Qzaet0UrNlInWpkFOkNXINNbFqj2Hj0\n2aStz8vWfIjoz/dUrNav5Qw89cpJpe/ypweYralFdpRNMTPQRVDJUJNJ9A21/GLw/OhUvrCraufX\nkdYo2f/Awm9lWOmIT6Exq01mv/pamg3DzR/xoRjcEWm2PkWp3Q2KZgpN+VYfJG6cDnS0l7rVys2d\nL1Qo2HbrknJGpKJbKK2cdp4mAv+/vXOPiuq69/h3nxnU8JCnKGAtAkGDb5HE4CtKs5IYW41pSJNc\nVzAk0QiixHgNehu1mmiiUVFEm14fufG2iekttultV7pu1NCIroiK9VFCaDCKiiAjygAKM2ffP86c\nM+fMzJkZkijj8Pus5VpyXnN+5+y9z2//9u/hYmlOcIi61Pgb2Z8he2aOtHQa4MHZNqAT/h46gRaa\nIJAfGhfPkQ0aKs0smQA28RH9c5XvuheKmhIhqvpI6A1SKid+Ls+qBw3Tj+6SFd2hqfqWL1cWkfh7\ntZMSQJqU2I4V1D5RHhU1VduwWYVZWIQyQ2d9+tkjlqNjYdhqV/DZyAdgeO1N50sajE7PiNmsjvJE\nAYDz8w/oAYTblmIE5jF9AXvCttwkfzhtFlLh/okQ3vuj8puacx52sADJgQLyOOPmeQkF6yDYlt80\n17RZEtm0X2i3T3a2eimpRXSaHouMliyp7j6E3irfAQFO44jyO0ajkpKHRccoH3Zl6dSmDDoGtUi4\nX7IW0jPAnpNqvLLIaGkslxUP+d5dXVezLG7rP+5yOCar/Kt0xlU249/AHrEtyfeNU9qckPeG/nUd\n74UxrfVd7re9dYJEbBZFt64DTNAuobqYkOlZ1RRrfcIg53PkMchdMME9nivIuEUQ7Er1k/qVWgjv\n8H1FTW7w8jq5wXGGDO2sSN3w3UT1sGdfgTDtacB8w/V+2aLmapDJcFYA3eJpGbXdpsjJHx29WaG8\n39aJWOJguzmbCdDMznQGALXy6rJuKgAW0htsYLI0iLjK7Sb7V3gTSCArzXpF0b1Y/mLZr3ZueU7G\nzf0Z3ttnT+wJaWmDjRmv+lF56VPnY+jKGVr9zJ3Ok64nZKh8AW0DpfDwdBhcWSzg8Iz1BlZXAzhj\nWgtLUooUpZo8TErFkTwUwpx/d/4NV3Qml5OjJVduY/Iynax49ehpX95xRH0/Doqaofj3dhcCmUFW\ncQAAGWlJREFUwQDhmZfd5uVismXHNo5w1bPSc8JnjCmWEGF7CYTcZdrj3TwvljDIHgk8IMFunZM/\n/tOfhVD4Owhr/9N2XyrlQbYgyTJ7eu4u/Lxk5dxtgIEcsbt0vX0C7CH3mPR7NsUodZw07tzjZeSm\nnjLiMC4qZbQEAUgeCjb6QSd3EjbxEXu6GFl+N/5umkh0F++NMQbh8UzJVw+QUnbIz19WvIJ1rJOy\nVbbwtxDWv++w9OniO6Um1gtLq9oYAYCljHDyZ2V6QW/uxlX5fTgco5kg9ejp0Y9QcJyAqd+VwWAf\n3x71zVJ5dxNeKWoVFRVYuHAhFixYgH379jntt1gs2LRpE/Ly8rBs2TJcvWqvvVlSUoK8vDzk5+fj\n5MmTTud6dZPF/2NPMyHPjNWNQt0Z1J3RjWmYeRsx+V1yfTkm6vXW303+uOtYsnibVNLH5YfVIGg7\nlk5UlaZSgbqWo96A4qrDWzqRRd227Mv0gho8hIizh6eDpU2AHL3nEZXFinnKk6R2ok4ZAWHOv6uW\nlFxYa9W4ahcaRU1HLrXvit4xIx9w9qd0hxdLDIYlayFk5UHIzofhlxvBDAa7YuqpjeulKHGF2hVg\nwx6wSZLfllK5wtYXmMHg1TNiz77ssroAy/ip9NFOGaW1Duoh9wersyzC6u1OwSRs5APAoGG2+3Qw\nbXmZf8vwy02SUhERpW1rgUF2nyu1ohYdY7N62pS6F1+T0jaofbHUaUBc9R2vUi7YAkEGJiuKgDDB\njXVZ59pssL4lmI24X5kI6abBcOxbNosdYwyGxW9BmPYLJ2WV9Y2FILvByM/UhdVIOf7pF1VKsfsJ\nCXvoMSkATL6unFdTpz4xe/RJCFs+kipg9A7TKnTyb8nP16F8FouL9+B6AW2/ZALYsDEwrCzSLqcm\nDnZdw9hdO5C/H6pxnD03VzFssLQJ0jfGU8CH7J89eLgUoa3uh8aATgeMEPp4XLsSRRE7duzAG2+8\ngfDwcBQUFCAtLQ1xcXZNfv/+/QgODsbmzZtRVlaGPXv2YOHChaitrcXhw4exceNGNDY2YtWqVdi8\neXOnw8nVfmAQBCkqR71N7Y+jbtzuEsK6iRTV8B3CuYXZCyCuUtWI9PShs82KhB8lAF/+XVl6YZnZ\nYCPSIC6zRW+1uUmKaQzQdk69QUkvwkvvlXxfRe3WTff7PVjU5HQQ3OK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RTNXc6fftU0uf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\nkKJGEARBEATho/w/T1QVZl1oNucAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f8051a29cc0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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uwvtBbFn3L0R24XKX8jjOs3Dmi3NsMnS0jxciNPAgVP7WI/ZBdOsVOBGFLeAn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\nAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f8051a25940>"
]
},
"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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DcP/yQPEThYWBCUhEREplrfXvf+nxePD+cgckiCjvxqmuVzWr94WaPXQQu2wJ9s2FpZ43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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f8051a297b8>"
]
},
"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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Dho4yGzduRFJSEubOnYsffvgBK1aswNNPP43Y2Fj0798ff/31F44dO+ZR96hRo9CkSRO9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\nBjwiIiIimWHAIyIiIpKZ/wc19cpWV3wY5QAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f8051590be0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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zztUIYFlJGPYphNeGQxg5Sdp+awyET7+QCu+53+64FusHw8LVSK1a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wUfH67vd0ZGBmbOnImnnnoK0dHRyM7OdgilznT385aNudNkMqGqqsrxd01NDUwmUwhbJB3O0ndd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\n/w9b1msZu0vJ7AAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f8051590ba8>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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GiIiIiFTEYIyIiIhIRQzGiIiIiFTEYIyIiIhIRQzGiIiIiFTEYIyIiIhIRQzGiIiIiFTE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\nCGMAAAAGEcYAAAAMIowBAAAY9AcHI8crSx5S0wAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f8051180630>"
]
},
"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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IsuKap6H8c85o/OjzMwCAx6fnYOGB2nb26JrVD47HKa9JL963f/BNNXafa3Hf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"text/plain": [
"<matplotlib.figure.Figure at 0x7f80511900b8>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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CQkJ8GRMR6UTeSoHc/xsQf8Vy7IdvIZq0zPM69b2hjo+v+Qy4dA5wkZDJZOue\nJAk1aoLjtwuTEoGzp+zvM+zfMCz4BnLLd3nexyzuClC9pna3/b8B+3+z3P3ATu0tTgBo9ZAlGUy7\n5V7d1oKCPL+G3KZM+AiiclXzW7o+XUIqH5SPVkHu3wm54iOgVGltxQZfCTMCKckQvV+D/GyB43im\nLIKoXM3xuRde1T4u/BaiREkY3pltPmedjJHvuJWQmUwmzJo1C23btkWrVq3szoeHhyMhwTK2JCEh\nAeHh4XblYmJiEBMTY96PjIyE0WjMT9xFWlBQENsdQIpSu5Mc/EITioKSJYOQM1+8o7ZYD1DIOR8U\nFARFUaC6cY36+ou29xTC4fCrIEVByZBg2L1jmZkBo9GIpFxdecrS2SjVZwhyPzgMPnMcJcqWhaO/\n783JWHbcBRl8IXduKcDV5Ezo2zNQ4p57tR4cKykt/g9ZjhZpzycRVgYyj8fOwU/1wu3vvnJ6vkyl\nKsDjz+B2qdIo0bAJkofbfp2X+ehLKJXuwI0Bz6BEs1bI/CV/Paph730EQ91GuPFCJ5R98lkkOUjI\njLNXwFCtZr7qd6Qo/VzztujoaPN2REQEIiIivFKvWwnZwoULUaNGDYdvVwLAfffdh02bNqFNmzY4\ndeoUQkNDHT6udBR4IHZ5BmpXL9tdNMnr15BptXyPq7bknDcajVBV1a1r7O7pZLqIjBv/IOO447UV\nk94aAORa5Dtz93ZkOliUOz09HcKN8Wg3T8a4LEP+l35XA8DBigiy3yhgoCePx/OmzFkJmXzT5g8G\n0b03xOM9gawsZBoMwHdfAdVqQhkXBfXV7pZrF3xr+bpv+aD2B02o0dLzW/Nu3AoJBZKTocxcARWA\n0vUFQFGAKxcg/zoBmbNShhOi1cNA4xZIq1YLSE2FYcl6JCcnQxkxEeqccVCmLgaSEiFP/IlUY3nA\niz+HivrPtfwyGo2IjIz0Sd0uE7ITJ07g119/Rc2aNTF69GgIIfD8888jPj4eQgh06tQJLVq0wKFD\nhzBkyBCEhIRg4MCBPgmWiHzD1K8rlI+c/6XvjLx0zq1y6p4dEC3aQJQsqV2X5WIeMCeTocrftwC/\nO+l1cvAoU6vLwZxlqgp5PS7vGICCvaRA/qd4f2pNYSxjfiQqU28BISEQQgDZX8uiYhWgTkMIg0Gb\nrf7A70D1WuavdZvwJswFJKCOfhkIK2N/r7LltQ1jWYj6jSGb/x/Ud7N/nza7H/hjr1bP7M+0GfEN\nBscx33M8On6NAAAgAElEQVSvZbLlSndA1LunIP8E5CdCOvtT1E8uX76s5+11Ech/WbDdhZOpX1co\n0z/VflE4UqEykKAlMKLXKxAPdwES46GOe82uqHk8z5BeQLqlF0P0ewPK/W0L3TgfKnrcWdlBJsYD\nZcpBHdgjX/dQBr8L0cx+iE5uYWFhSE5O1pI0N8nEeCCkFETpMPev+esE1A9GQ/l4LYQPEk9PFYWf\na75QrZrjMXjewKWTiEiT1++TBEtvkjzxJ+RXn2iPX/KSnuuRkk6TuVLRI7r+G6Lz01CHPme/2oGb\ny/OI8EraRov/Aw7uAoxlgWo1gZNHoMz/Wjt3/ZrDXlBl4nyIqne6dx8hPErGbGLzxN0NoLw1o1Ak\nY+QbTMiIApS6ZwfE/W0tv0xuejh8nWssFn2+evMv+40/AECNu4CLTtYdrXcPlB59oH4w2nxIPPMf\nKI/3BAAYFq+DjL8KZGQA1e4EpPQ4IVH++zpk5VUQT/8bMKmQO36ACMqeWb5aTe0xY2I8kHITomYd\nj5vqL0IIwMmC9lQ8MCEjCjDyyH7Iq5cgo5dCNGoKlNHGrVi/Xeize6fmfw1K8j7D3FUePUJWxs4C\nbiRpvaQ/O1/TU+k3CuKeeyFPxUDUj4D63SrI9drEuYYl6yH/2Ac0bGpecsf8mPv9URAPdrSpS1S6\nw2rH815WERwM0eMlbacEIB7tZl8mvBKQn14rIi9i3yeRj6ib1sD0dn/d7i+vXHT4y1adOxEyemn2\nntUvOJPJvYqzBxbny7UrrsuQXyhvTtc2sh/NifseMp8TD3W2lBs5GaLbi1DGzoKoXQ+iWSuIZ23H\nGor726HMgq8tB7KnVxD1tbfqlaeeg2HJenPiJZq1crj+oeGtGRDZfyAQBRr2kBH5iDzxBxB/Vb8A\n4t1LfuSJP7UNL43xkkkJEOUq2J+4fB6oeIf9cfK/6rUg6jQEoE2uigtnIWrVAQZojw6laoLo0h3I\nzARq1IbSsKnN5UJRoMxaYZM8KUaj9vZfaBiE4vjtPyJyjgkZUTEiz58BKleFCCnl+PyR/XbH1Fnv\naBuejiFzwtl6l3LDV5A7fvTKPagAataBiLjXvCsUBahlO3ZKKAbgjhp5VuOoJ0sYy3onRqIAxISM\nyFfcmFFGXTwDqFgFyjP/8azqw3uA4BCIRs1s65s0HGjaCobsxYGB7Dm/VBUiKBjq3Im25Uda3ddq\n8lefSb7h+3uQU6Lv61BaP6J3GETkABMyIh3Jfb9qGx4kZOr2jZCfLwJKh8IQ9aV9gT/32ZZf8D5w\n4QxQxn71DAogze6HeKCd3lEQkRMc1E/kK76ad+vMSe2jq9nuc1z8W1uU242lgqgYqG9Znk758Avz\ntmHwOx7Pl0VE/sOEjKiIkTlr+JlUy7Gzp1wvR0RFjvLGVCjTP3Wv7EeroIyLgmHU+0DjlgAAERoG\n8Vj+ZqonIv9iQkbkRaZ+XSGTEp2el6m3IDO1xMn0/ijn5TJuO58f6vDu7JtlQZ7/C/LqJahT34D8\n7WfH5dkpUmSJBo0hyleAsmiN5aCTgfMipDTEnXcBAJSXhpintRBPv6AtMk1EhRrHkBEVgLp5HZCU\nCNHxX1BXfKQdTLsFlAt3OKhfHfY8xAPtIF4ZaXn06Ej2skPy79MQteuZD8vkm7b1TRph2TFlOa7L\n3fnFSDfiqecgv1sFcX9byJNHoUxfCpyKsZw3GKAs+AZQDOYFtOWKuZD7fgMybkO8MNC2vnLh2tcg\nAFGiBFCJ040QFXZMyIjySV46b5lgtdqdwLHDtgWcJELSrbnJtGROnTLSZiFlufFrZxfYJ4A544Xc\neNuTfEsZO0ubCf5WCtTPFwInj5jPifZPQjzZS0vIHu0Opd8b2oncc3+VDLLd7zMM6DMM8q8TwF31\nQERFGx9ZEjmhfv0pTNY9ULnPT33dsmM9EaaUkKoK5Ey4CkBmZlgeQZ45CZli29Nlx0EOpe7enudy\nNfZ1ZFfipfnFKFvZXPNv5Zp6pOznP8OwZD2Uj1YBZbN7qWrXgyhTDqJqDRjemAIAUD5YCtH5ae0/\ngwHKgm+1yVk9JOo05ESsRMUAEzIiJ2TMQeD8X3kUsNpcNsf5SUCbpd6KOn+q7f6iaZA3/7G63HK9\n+uO3MM2dCPnForzj/eoT87apX1fIs6fzLE/5Y5i5Qltu6N4HAACibiOb88KgJUcipDQMM5fb9HCa\ny3R+GihbHkpkX/NajaJkSR9HTkSFGR9ZEjmTnRSZ+nV1+Es1z0eBcZZli7JOHAH+SbA9H3vMtqoD\nO7XHno88AZQKBTJuW859u8Lz2AHIDavydR3loVZdAIBh4nybw6rJBLnxa4icx40uKJF9vR4aERVt\nTMiInHE59srxefWD0UBaqnk/ZcJQ+8dcjmr7bhXk37HA7TTgzClPIiU/UYZPcHhcPPW89ugxrIx/\nAyKiYoOPLIncYPpwPOTZXEmSs4TNKhnz2JH92tt1nFOsUHKWcIkSJZiMEVGBMCEjckfMIcg/7Rfm\ndtuNf1yXoUJNvDxc7xCIqBhjQkbkzJULtvsJcZBxly37nN+r8Kjt+bQPyvgoiP8MdnpePNhR26jf\nWHtrsk2H/EZHROQSx5ARuUnu2gq5aysMS9Zrcz9RoWEYOwsAIM+fgTrJSU9W5apQxs+FCAo2HxI1\n7oLpf/MsZcLKaIl23UZQ+gyDfHGQL8MmIjJjQkbkIamq2sB90pXo/LQ25YT1BKrVapo3ldEfQP76\nE+SurVBmrYAo4/jFCvHUc5Dbvofy7ocQ4ZVsz5Xgj0gi8g8hpb7TeF++fNl1oWLGaDQiOTlZ7zD8\nrqi12+lakqVCteWRSFcOpyKBtryUMGoD7GVWJpCVCRFS2m9xFbWvc29huwNLoLa7WrVqPqubf/4R\nOSBV1flJJmO6Ea0ehtJ/lO1YvtxljJa3HUWJkkAJTrhKRIUfB/UTORJzUO8IyAGl/ygAgKjsu79S\niYj0wISMyBFTlt4REBFRAOEjSyJHBP9WKUzEKyOBq5f0DoOIyGeYkBE5ktcYMvKuBk2gPP0C1Olv\nQpkwD7h1E+qMt7Vz99wL5eXhEOXC9Y2RiMjHmJAROaBu+17vEAKC9ZuS1tvKpIVAlWoQQugRFhGR\n3/G5DJEj6Wl6R6A7Zeh431VevRZEb+eTroo7qjMZI6KAwoSMyBElwL81yleEaNLSttdqfJR36i4b\nDsOEj6C07eKd+oiIioEA/61D5EQA9s6IR7tZdqzGbIneg6BMXgRR4y4oi9dpx9p0dFxJuQqWzVXb\noCz4BmjaylLX/3WAiPyvdwMnIioGOIaMiAAAot49EI1bAsEhQJXq5uPWPVlCCHOvmen3LVCmLob6\nzXLg4O8QD3WG+Fcv4MoFqFHvaeVLBsEw5F2/toOIqChiQkbkSOxxvSPwj2b3QzRoAtG4JUTVGh5d\nmpOYGQa+CZl8AwgpBVEyCKhQ2emyRkRE5BgTMqIAZhj8jlfqEcayXqmHiChQcQwZUYBSRryndwhE\nRJSNCRlRLvL8Gb1D8L1m90Pc01zvKIiIKBsTMqLcAmAOMvHAI3qHQEREVlyOIVu4cCEOHjyIsmXL\nYubMmXbnjx07hunTp6NKlSoAgPvvvx89evTwfqREBWTq1xXKqPch6kfkXTArwz8B+ZHyzmzgzrug\nvvoMICWUVg/pHRIREVlxmZC1b98ejz/+OObNm+e0TKNGjTBmzBivBkbkC/L6VZcJmTrHhzPU+1ON\nu4CLZyHaPQZRqy4AQHlvPgCpb1xERGTHZULWsGFDxMfH51lGSv6Ap6JHJsRDVKgEeSsF8uDvUB5+\nVO+QvErpP8puKgtPp7YgIiL/8Mq0F6dPn8bo0aNRvnx59O7dGzVq8Ic+FX7qm30hnvkP5Or/aQeK\nQ0J2T3MY+PYkEVGRU+CE7O6778aCBQsQHByMQ4cOYcaMGYiKcrzmXUxMDGJiYsz7kZGRMBqNBQ2h\nyAkKCmK7dZAEQH4aheBSpRDUtou2v+5z8/mc2JL0Ca9AQse8D/VGEgy166JEIfna0vvzrRe2O7Cw\n3YEnOjravB0REYGICBfjkt1U4IQsJCTEvN28eXN88sknSElJQVhYmF1ZR4EnJycXNIQix2g0st0+\nJi+dg/x5PUTHpyBq1IbMuG0+l7rnF9xu3kbbMZnMx4vK50SJ+hLqsOchOj8NefQgcOUC0u5qCGEw\naAUKSTv4dR5Y2O7AEsjtjoyM9EndbiVkUkqn48SSkpJQrlw5AEBsbCwAOEzGiPxJXfYhcP4vyPir\nUHq9AtxOt5y8eE6/wApAWbwOuJEIUToUyodfAKVDoUT21TssIiLyApcJWVRUFI4dO4bk5GQMHDgQ\nkZGRyMrKghACnTp1wu7du7F582YYDAYEBQVh+PDh/oibyG3qxGG2B65dgjx7ymFZU7+ufojIc8rI\nyRBCAOUqAABEKP/oISIqToTU+RXJy5cv63l7XQRyV6+v220a9m8gNcVyoEw54KZ7o8LEC69Cfr7I\nR5E50KAJcPKIbQy9X4P8bAEAQBk1FeqMt6G8MweoebeWkBUh/DoPLGx3YAnUdlerVs1ndXOmftKF\nTEqEvHop7zLpaZBWY7zcYp2MAW4nYwD8m4wBEBEtbA+UDILS9jHgrvra+fqNoSz4FqJWnSKXjBER\nkWe8Mu0FkafUqAnAxb9hWLLeeZkhvSA6Pw1RXMdJlSlnu1/1TgCAMmgskJQIABAlS/o7KiIi0gET\nMtKH1VuPecmrF02e/wvIyICo2wjqLz8C14rW429RoZLNnPnKvwdox8uWB8qW1ycoIiLSBRMy8gmp\nqkDKDYgy9omFVFUg7op7FakmLfH6JxHqwqkwLFpjOTVpBABAGTrePO6qKBENm5q3lfeXQFSsomM0\nRESkJyZk5BNy58+Q/5vn+JFkVqb7FWVlmROvHKZJw4HzZ8z76tyiNzO98trbAADR7UUgOJjJGBFR\ngOOgfvKNvAbT5xqgburXFTIxHuoP30Km3rItm2tQvzxz0iYZK1Qqu3j75q76EB2fAprcB9G8NQBA\neTISSqen/RAcEREVZuwhI99wMpuKjLsM64FT8uxpbSMhHnL1CojKVSFr14U6+13t+DXbMWTq+6N8\nEW3BNGwKnPgTyuCxUMcNshyvUBlIiDPvKs/1g7i7gQ4BEhFRYceEjHxCnjmpfczMAP65DpHde6SO\nfdW2YE5PWnYCJ//cB7noA8v55Bs+j7WglMHvAik3gLLhNscNH3wCGXdZa3N4RSZjRETkFB9Zkm8c\n2Q8AkN9HQx37KmT8VaQun2tXTF74K2dL+//vW/wVoXdUugMiOBiiQmVA0b6dlNcnQfxfBwAwJ6Io\nX1GvCImIqAhgDxn5VloqAEB9bygyrNeTzCbXfZG94c+gvCDUCNxKhjJxvvmQUBTzSwyiUTPz8ZAX\nByLD1fgyIiIKaOwhI6+R8VdheqOP7cGcAfwZGa6u9kVIvlM/AmjZBqKE64lbQ/4VaZOgERER5caE\njLzn0t/AjUTH56Sa97UuEzb/Ey8MtNlXXp+kHX/2ZSh9X4fh1Tf1CIuIiIohJmTkRVpvmKlfV/MR\nueU7t64sjHOJifsetD1gLAsAUB7tDhEcokNERERUXHEMGXnMNG0MlBdfg6heS+9QfEK06Qg0aAIR\nVkbb7/YilCcjAQDKZP8uQE5ERIGBCRm5TV0yCzIrA4g9DnniSLFNyJSXh1m2o74EQiy9YaIKB+cT\nEZH38ZEl5UmmpUJeOKttH/gNOLjL9nzcZajL5mjbZ0/5PT5fE6VDIRSD3mEQEVExx4SM8iS/WQ51\nYnaPkfUyRvFXtCWPdm6B3LUN8ugByI1f6xMkERFREceEjPKWeRsAIHOvH5k9g35OEqZu+MqvYblL\ntHssz/OGJeuhjJoK8Vx/P0VERERkj2PIyIXsecQyXUxLcT0u7/M6UV58DaYdP+ZZRtRvDNzdEKJe\nI6ByVT9FRkREZMEeMsoXeWh3rgMu5hnTgTJionlbvDxc+/jMS9q5iQugzP7Mcr5ECYiadSBCSvs3\nSCIiIrCHjPIrd4+ZLHwz7Yt77gUAKBM+AqrWgGjYBDCZILd/D1G1hs7RERERWTAhI+8wZekdgVPm\n6TnCKwEADNOW6RgNERGRPT6yJO9IvaV3BJqqd+odARERkcfYQ0buKYSPJG00aAKcPALDxPmQt28D\nKTf1joiIiMhtTMgCjLp7O0TVGhC16rp3gRC+DagAlNkrgdAwyN+3QNRpCJHdOyaCg4HgSjpHR0RE\n5D4+sgwwculsqJ8tcFnO9MZLUH9aA/n7Fu2AzomZaNvF/pixDISiQHmoszkZIyIiKoqYkAUI07zJ\nkOlp2s65WMgzJ83n1A2rIHOPAbvxD+TXn/osHmXwO55dUNl2DUll6mIvRkNERKQvJmSB4o+9wPWr\nlv2b/5g35bovgJNH8rxcujjvsUp35HlavPAqlAnzLPudn4YydBzEw49q+y6uJyIiKko4hixg5XoE\n6WLQvvxtsw9jsVKqNMRjPSBatzevnSm6dIdQFKDJfUD9JhCP9/RPLERERH7ChCyg5DUOzJKQmUb/\n1/50/FX7YwVhsP/SU2avhDCWsUSUoa2jqfR82XxMBAe77F0jIiIqapiQBRTbXjApJZCgrUGpbv8B\n+HUzcPSAz6MQD7SDqGIZE6YMehsoEWSTjAGACAqGYcl6n8dDRESkNyZkgex0DNQZb2vbx//w332r\nVAcAiG4vQtxRA+Le1v67NxERUSHEQf3FgJQSUjV5dI06fwqQ89aln4l22hQWypOREC3b6BIDERFR\nYcKErBiQe3+BOqC7GwVz7ftrbrE77wIAGGevgDJ3FUSZ8v65LxERURHBR5bFwdVL5k2ZmQH1tZ4w\nLFkPmXgdkBLqSscTwapzJ/olPMO4KMjMDBjCK0AkJ/vlnkREREUJE7LiJjPDvKmOyfW2pCnLz8EA\nyF6iSZQM8v+9iYiIiggmZMVNHtOJqVNG+i8OAMrQcUBEC7/ek4iIqChymZAtXLgQBw8eRNmyZTFz\n5kyHZZYtW4bDhw8jODgYgwYNQu3atb0dJ+VJOtnWl2hyn94hEBERFQkuB/W3b98eY8eOdXr+0KFD\nuHbtGubOnYv+/ftjyZIlXg2QPKRqCZnpg9G6hqGM+UDX+xMRERUlLhOyhg0bIjQ01On5ffv2oV27\ndgCAevXqITU1FUlJSd6LkDyU3UP21wndIhD9R0PUvUe3+xMRERU1BZ72IjExERUqVDDvh4eHIzEx\nsaDVkgvy+B9QV6/QOwx71WtBafWQ3lEQEREVKZyHrIhSN6+D/OFbmPp1tT3hYpFwX1O6Pq/r/YmI\niIqiAr9lGR4ejoSEBPN+QkICwsPDHZaNiYlBTEyMeT8yMhJGo7GgIRQ5QUFBBW53SlAQciaxCCoZ\nhNsASqfcgAgNxc0CR5h/xraPQjiZcNYb7S6K2O7AwnYHFrY78ERHR5u3IyIiEBER4ZV63UrIpJTa\nQtQO3Hfffdi0aRPatGmDU6dOITQ0FOXKlXNY1lHgyQE4UajRaHSr3TItFShREqJkSdvjmRlQ/9hn\n3r+95jMAQPKI3lBGve/dYF2pew+UR7tBXTAVyvRPkZKS4rSou+0ubtjuwMJ2Bxa2O7AYjUZERkb6\npG6XCVlUVBSOHTuG5ORkDBw4EJGRkcjKyoIQAp06dUKLFi1w6NAhDBkyBCEhIRg4cKBPAg1E6tDn\nIO5vB9HPdv4wufdXICvT8TUz3vJHaAAAZfC7EM1aAQAMS9b77b5ERETFjcuEbNiwYS4r6du3r1eC\nCWQyNQW4kQRRtYbt8fgrOkWUN/FgJ3MyRkRERAXDmfoLCblyIeS+X6GMi4L85UcoLzjuaZS304E0\n548F/YG9YURERN7FhKyQkGmp2sfft0Bu/wHISchUFTI9DSKkFNRF0yBjjwM3dJpWJMwI5YOl+tyb\niIioGOO0FzpSl8+FzLit7UhV+/DPddtC52KhDukFmZ4GeWCnfskYAGX2SojgEN3uT0REVFwxIdOR\n3PkzEH8teyf7oMmk7Z45aVv2uy/9GJlGPBkJ5fVJAADl/SVOp7MgIiKiguEjy0LAZnLXw3sAAOr7\no2wLZTp+q9JXxKPdoXR7EQCgTJwPUbGKX+9PREQUSNhDVkTIbd97t8Kmtm9Iiuf6m7eVxeugPPuy\n5VzVO717byIiIrLBHjKdqNmTuVqeVfqH8s4coObd5sePUkog7RZE6TCg47/8GgsRERFp2EPmZfL4\nH5CJtgPz5a1kqBu/tj22/Qd/hgXRdwSUuasgatWxGQsmhNCSMSIiItINEzIvU2e/C3XMfyGvXjQf\nk3/shVzzGUz9ukImxGkHDQav31v0Hw3xyBNAizYQbTpC+XgtULkalEVroLRuD1GqtNfvSURERAXH\nR5a+kp5m2RaWvFd98xVkjpoCGLR/enXCkALdxrBkPeSlc0BKMkSDxkCrh2zPT1lUoPqJiIjI95iQ\n+YrVY0G5bI7NqVszxnrnHkFB2q2q1/JOfURERKQLPrL0Gd/P2aV8FO3zexAREZHvMSHzFT/MoSoU\nfvqIiIiKA/5GL6KUBd/qHQIRERF5CRMyn8me5yv5pndrvb8dDEvWQ5Qs6dV6iYiISD8c1O9FUjVZ\ndoSAPP4H1Nnv5rs+8Z/BkP+bB1SpDsPkhV6IkIiIiAojJmRukjeTIL9aCqXfSOdlPv/YsiMAuWtb\nvu8nnv0vlIcfBR5+NN91EBERUdHAR5ZOmKa9CXn1kuVA7HHIvTsclpXnYmEa9TLkLz+aj6nvDYPc\ntdXj+4q+I2BYsh7Ko908vpaIiIiKJiZkzsQegzwdY9kX9q9NyqsXIZNvQp38OpCUUOBbil59obRu\nX+B6iIiIqGjhI0s3yEvnAFOWtp2eBhFSCgCgvvtageoVrR6G3PcrDEvWFzhGIiIiKrqYkLnBZnmj\n69cgK1X1yjxjSv9RQP9RBa+IiIiIijQmZB5SF0wF4q8CpUI9vlZ0ehpy2wYEd30emZ27+yA6IiIi\nKoqYkLkgE+NtD8Rf1T6m3fKoHvHKSCgPtAN69UUpoxFZycleipCIiIiKOiZkeZD7ftXmAfMC0fJB\nr9RDRERExQ8TMgdk3GVt4/gfBa5Lmb0SwlimwPUQERFR8cWEzAH1wwleqYdvTxIREZE7mJA5kjNO\nLJ+UV8cAzR7wUjBERERU3DEhsyIT4oDQsALVIXq+zPFiRERE5BEmZFbUN19xu6x49mWI5v8HlAuH\nXPWJtmxSgyZQunA6CyIiIvIME7L8KFMOyqOWxEv0fg3oXbBZ+4mIiChwBXxCJrOygAtnoW6MdllW\n3PcQULkalO4v+iEyIiIiChQBk5DJY4egfjwdhqgvbY9/+THkL5tcXq8sWgNhMPgqPCIiIgpgit4B\n+IuMPQGkarPrmwb3gqlfV+14Qpxb1zMZIyIiIl8JiB4y0zsDIVq0thy4naYdz07K8qK8MQWiQRNf\nhUZEREQUGAkZrl0CbqUAcLA2pRPKpAUQd9TwZVREREREAALpkWX2ODF1TF+XZUWrh5mMERERkd8U\nyx4ymXxD6xELDoH6pusEzJoycwVgLOujyIiIiIjsFcuETH29t8fXKANGa9NaEBEREfmZWwnZ4cOH\nsXz5ckgp0b59e3Tr1s3m/Pbt27Fy5UpUqFABANClSxd06NDB+9E6IRPioX4wCoYZy90aqJ8bFwEn\nIiIiPblMyFRVxdKlSzFu3DiUL18eb731Flq1aoXq1avblGvTpg3++9//+ixQp/Gt+wJywyoAgMzK\n9OhaZdb/II8d8kVYRERERG5zOag/NjYWVatWRaVKlVCiRAk8+OCD2Ldvnz9isyFv/AN149e2x2KP\nmZMxAFAH9nC7PuXdORBlykFp3d5rMRIRERHlh8sessTERPOjSAAIDw9HbGysXbk9e/bg+PHjqFq1\nKl566SWba/JLptwEkm9CVK0B9Y2XAABq3GWIJq0gz5+BdGO5I2dEzToFjo+IiIjIG7wyqP++++7D\nQw89hBIlSuDnn3/G/PnzMW7cOLtyMTExiImJMe9HRkbCaDTalUt6znmvldy5BXLnFo/iM85ajuSR\nfQAAIb0HIuTJSI+u97agoCCH7S7u2O7AwnYHFrY7sARquwEgOtrSGRQREYGIiAiv1OsyIQsPD8f1\n69fN+4mJiQgPD7cpExYWZt7u0KEDVq5c6bAuR4EnJyfb7Muzp11H7SZl9mcQxrJIBaAsXgfcTEJm\n2fLIzHVPfzMajXbtDgRsd2BhuwML2x1YArndkZG+6dRxmZDVrVsXV69eRXx8PMqXL4+dO3di2LBh\nNmWSkpJQrlw5AMD+/ftRo0b+JlVVP1sA+cuP+bpWPNYDUBSI1o8AZcpDhIbZnhcCKFs+X3UTERER\n+ZLLhExRFPTt2xeTJ0+GlBIdOnRAjRo1EB0djTp16qBly5bYuHEjDhw4AIPBgLCwMLz22mseBSGl\nhNr/6Xw3gtNWEBERUVEmpJRSzwAunYmFOuQ5m2PKzBVAagrk7u2Qud6stCk3ZhpE3Ua+DtHrArmr\nl+0OHGx3YGG7A0ugtrtatWo+q1v3mfptkrFy4TDMWK5tly0P0b03ZKuHAGEAKlSE3LUNuB4H0eMl\nCCVgluEkIiKiYk73hMyaMuEju2Oixl2W7fZP+jMcIiIiIr8oHN1M1WvBsGQ9RGhgvkJLREREgU33\nHjJl9koIYxm9wyAiIiLSje49ZEzGiIiIKNDpnpARERERBTomZEREREQ6Y0JGREREpDMmZEREREQ6\nY0JGREREpDMmZEREREQ6Y0JGREREpDMmZEREREQ6Y0JGREREpDMmZEREREQ6Y0JGREREpDMmZERE\nREQ6Y0JGREREpDMmZEREREQ6Y0JGREREpDMmZEREREQ6Y0JGREREpDMmZEREREQ6Y0JGREREpDMm\nZEREREQ6Y0JGREREpDMmZEREREQ6Y0JGREREpDMmZEREREQ6Y0JGREREpDMmZEREREQ6Y0JGRERE\npLdY1mYAAA9TSURBVDMmZEREREQ6Y0JGREREpDMmZEREREQ6Y0JGREREpDMmZEREREQ6K+FOocOH\nD2P58uWQUqJ9+/bo1q2bzfmsrCzMmzcPZ86cgdFoxIgRI1CxYkWfBExERERU3LjsIVNVFUuXLsXY\nsWMxa9Ys7Ny5E5cuXbIps3XrVoSFhWHu3Ll48sknsXLlSp8FTERERFTcuEzIYmNjUbVqVVSqVAkl\nSpTAgw8+iH379tmU2bdvH9q1awcAaN26NY4cOeKbaImIiIiKIZcJWWJiIipUqGDeDw8PR2JiotMy\niqIgNDQUKSkpXg6ViIiIqHjyyaB+KaUvqiUiIiIqllwO6g8PD8f169fN+4mJiQgPD7cpU6FCBSQk\nJCA8PByqqiItLQ1hYWF2dcXExCAmJsa8HxkZiWrVqhUk/iLLaDTqHYIu2O7AwnYHFrY7sARqu6Oj\no83bERERiIiI8Eq9LnvI6tati6tXryI+Ph5ZWVnYuXMn7rvvPpsyLVu2xI4dOwAAu3btQuPGjR3W\nFRERgcjISPN/1o0KJGx3YGG7AwvbHVjY7sASHR1tk8d4KxkD3OghUxQFffv2xeTJkyGlRIcOHVCj\nRg1ER0ejTp06aNmyJTp06ICPPvoIQ4cOhdFoxLBhw7wWIBEREVFx59Y8ZPfeey+ioqJsjkVGRpq3\nS5Ysiddff927kREREREFCMOECRMm6BlA5cqV9by9btjuwMJ2Bxa2O7Cw3YHFV+0Wkq9EEhEREemK\na1kSERER6YwJGREREZHO3BrU7wuuFiwvChYuXIiDBw+ibNmymDlzJgAgJSUFH374IeLj41G5cmWM\nGDECpUuXBgAsW7YMhw8fRnBwMAYNGoTatWsDALZv3441a9YAAJ555hnzMlRnzpzBggULkJmZiebN\nm6NPnz5+b2NuCQkJmDdvHm7cuAEhBDp27Ignnnii2Lc7MzMT48ePR1ZWFkwmE1q3bo1nn30WcXFx\niIqKQkpKCu666y4MGTIEBoMBWVlZmDdvHs6cOQOj0YgRI0agYsWKAIA1a9Zg27ZtMBgM6NOnD5o1\nawagcH9PqKqKt956C+Hh4RgzZkxAtHvQoEEoXbo0hBAwGAx4//33i/3XOQCkpqZi0aJFuHDhAoQQ\nGDhwIKpWrVqs23358mV8+OGHEEJASolr166hV69eaNu2bbFuNwBs2LAB27ZtgxACNWvWxGuvvYbE\nxMRi//29ceNGbNmyBQAKz+8xqQOTySQHDx4s4+LiZGZmpnzjjTfkxYsX9QilQI4fPy7Pnj0rR44c\naT722WefybVr10oppVyzZo1cuXKllFLKgwcPyqlTp0oppTx16pR8++23pZRSJicny8GDB8tbt27J\nlJQU87aUUr711lvy9OnTUkopp06dKg8dOuS3tjnzzz//yLNnz0oppUxLS5NDhw6VFy9eLPbtllLK\n9PR0KaX29fv222/LU6dOydmzZ8vff/9dSinl4sWL5U8//SSllHLTpk1yyZIlUkopd+7cKefMmSOl\nlPLChQty1KhRMisrS167dk0OHjxYqqpa6L8nvvvuOxkVFSU/+OADKaUMiHYPGjRIJicn2xwLhK/z\nefPmya1bt0oppczKypK3bt0KiHbnMJlMsn///jI+Pr7YtzshIUEOGjRIZmZmSim17+tt27YV++/v\n8+fPy5EjR8qMjAxpMpnkpEmT5JUrV3T/fOvyyNKdBcuLgoYNGyI0NNTm2P79+80Z8iOPPIL9+/cD\nsF2AvV69ekhNTUVSUhL++OMPNG3aFKVLl0ZoaCiaNm2Kw4cPIykpCWlpaahbty4AoG3btoXi36hc\nuXLmvwxCQkJQvXp1JCQkFPt2A0BwcDAArbfMZDJBCIGYmBg88MADAIB27dqZY7Vud+vWrXH06FEA\n2tdHmzZtYDAYULlyZVStWhWxsbGF+nsiISEBhw4dQseOHc3Hjh49WuzbLaW0WwauuH+dp6am4sSJ\nE2jfvj0AwGAwoHTp0sW+3daOHDmCKlWqoGLFigHRblVVkZ6eDpPJhIyMDISHhxf7n2uXLl1C3bp1\nUbJkSSiKgkaNGmHv3r04cOCArp9vXR5ZOlqwPDY2Vo9QvO7GjRsoV64cAC15SUpKAuB8kXZ3j1eo\nUMFuUXe9xcXF4dy5c6hfv35AtFtVVbz55pu4du0aunTpgipVqiA0NBSKov1dYx2rdTsURUHp0qWR\nkpKCxMRE1K9f31xnTrullIX2e2LFihXo3bs3UlNTAQDJycn4//buJyaK84/j+Ht2t0oBXRZWq2jN\numtsiiAq0oNCjbYX/yQ1GjW2MYWSVov/Dyb1ZI022vqn9Q+oBwpJPVhNrImHnoqICqYBpaUhSGlA\no5YCguKCSmH3dyBMpGsaf0l1YPi8Eg7MzkzmO8/M5Jt5nme+sbGxto/bMAy++OILDMPg3Xff5Z13\n3rH9dd7c3MyoUaPIz8/n5s2b+P1+srKybB/308rKysjIyADs/zyPj49nyZIl5ObmMnLkSKZPn87k\nyZNt/1x7/fXXOXXqFMFgkFdeeYXr16/j9/u5f/++pe1t2Riy4cIwDKsP4YV4/PgxBw8eJCsri6io\nqIjf7Ri3w+Hgq6++oquri/3793Pnzp3n3vafb1qGiv4xkj6fb0Ad2ueNZ6jGDbBr1y48Hg8dHR3s\n3r37mXV37Xadh0IhGhoayMnJIRAIUFRUxLlz5yLWs1vc/Xp6eqioqOCDDz545u92i7uzs5OKigry\n8/OJjo7m4MGDVFVVPff2Q/X+njBhAu+99x67d+8mKioKn89nJqBPe9ntbUmX5fMULB+qns6q79+/\nj9vtBvpivnfvnrlefzH2f56Lp5c/a/3BoLe3lwMHDvD222+Tnp4ODI+4+0VHR5OUlERdXR2dnZ2E\nQiFg4LE+HUcoFOLRo0fExsb+a9yD8Z6ora2loqKCDRs2cOjQIX777TcKCwvp6uqyddwAHo8HgNGj\nR5Oenk59fb3tr/P4+HgSEhIIBAJAX7dUQ0OD7ePuV1VVhd/vZ/To0YD9n2vV1dWMHTvWfOP91ltv\ncePGDds/1wDmz5/P3r17+fzzz4mJiSExMdHy9rYkIXueguVDxT/HmaSlpVFSUgL0zb7oj2v27Nlm\nAfa6ujpiYmKIi4sjNTWV6upqurq6CAaDVFdXk5qaSlxcHNHR0dTX1xMOhyktLTWTH6sdO3aMiRMn\nsmjRInOZ3ePu6Ogwu+y6u7uprq5m4sSJTJs2jatXrwJw8eLFZ8ZdXl5OcnKyubysrIyenh6am5tp\nampiypQpg/aeeP/99zl27BhHjx5ly5YtJCcns2nTJtvH/eTJEx4/fgz0vQ3+9ddfmTRpku2v87i4\nOBISErh79y6AeZ3bPe5+ly9fZu7cueb/do/b6/Xy+++/093dTTgcHjbPNeh7pgO0trby888/k5GR\nYXl7W/al/qqqKgoLC82C5YNlKuz/49ChQ9TU1PDw4UPcbjcrV64kPT2dr7/+mtbWVsaMGcPWrVvN\ngf8FBQVUVVURFRXFp59+it/vB/oa/uzZsxiGETFtNi8vz5w2m52dbVms/Wpra9mxYweTJk3CMAwM\nw2D16tVMmTLF1nHfunWLvLw8QqEQ4XCYOXPmsGzZMpqbm/nmm2/o7OzE5/OxceNGXC4Xf//9N0eO\nHKGxsZFRo0axefNms9zGDz/8QHFxMS6XK2J6+GC+J2pqajh//rz52Qs7x93c3My+ffswDIPe3l4y\nMzNZunQpwWDQ1tc5QGNjIydOnKCnp4fXXnuN3NxcQqGQ7eN+8uQJubm5HD16lFdffRVgWLT3mTNn\nKCsrw+l04vP5WLduHW1tbba+vwF27NhBMBjE6XTy4YcfMm3aNMvbW6WTRERERCymL/WLiIiIWEwJ\nmYiIiIjFlJCJiIiIWEwJmYiIiIjFlJCJiIiIWEwJmYiIiIjFlJCJyJCzZ88eSktL/9N9njlzhiNH\njvyn+xQReV6qZSkillm/fj0PHjzA6XQSDocxDIN58+bx0Ucf/et227dvfyHHY7dahSIydCghExFL\nffbZZ2YJFhGR4UoJmYgMOiUlJfz0009MnjyZ0tJSPB4POTk5ZuK2c+dOMjMzWbBgAU1NTRw/fpzG\nxkZcLhfJycls2bIFgBs3blBUVERTUxPjx48nKyuLqVOnAn3lkfLz82loaGDq1KmMHz9+wDHU1dXx\n3Xffcfv2bcaMGUNWVhZJSUkv90SIyLChMWQiMijV19czbtw4vv32W1asWMH+/fvp7OyMWO/7778n\nNTWVoqIijh8/zsKFC4G+OoR79+5l8eLFFBQUsHjxYvbs2UMwGATg8OHDBAIBCgoKWLZsmVk8GKCt\nrY0vv/yS5cuXU1hYyJo1azhw4AAPHz58OcGLyLCjhExELLVv3z6ys7PNv+LiYgDcbjeLFi3C4XAw\nZ84cEhMTuXbtWsT2TqeTlpYW2tracLlcvPHGGwBcu3aNxMREMjIycDgczJ07lwkTJlBZWUlrayt/\n/PEHq1atwuVy8eabb5KWlmbu89KlS8ycOZMZM2YAkJKSgt/v5/r16y/hjIjIcKQuSxGx1LZt2yLG\nkJWUlBAfHz9gmdfrpb29PWL7NWvWcOrUKbZv305sbCxLlixh/vz5tLe34/V6I/bR1tZGe3s7sbGx\njBgxIuI3gJaWFsrLy6msrDR/7+3t1Vg3EXlhlJCJyKDUnxz1u3fvHunp6RHrud1u1q5dC0BtbS27\ndu0iKSkJj8dDS0tLxD5mzpyJx+MhGAzS3d1tJmWtra04HH2dBl6vl3nz5vHJJ5+8iNBERCKoy1JE\nBqUHDx7w448/0tvbS3l5OXfu3GHWrFkR6129etVM3mJiYnA4HBiGwaxZs/jzzz+5cuUKoVCIsrIy\nbt++TVpaGl6vl0AgwOnTp+np6aG2tnbA27DMzEwqKyv55ZdfCIVCdHd3U1NTE5Ekioj8V4xwOBy2\n+iBEZHhav349HR0dOBwO8ztkKSkpzJ49m+LiYnw+H6WlpcTFxZGTk0NKSgowcJblyZMnuXz5Mo8e\nPcLtdrN06VIWLFgA9M2yLCws5K+//mLcuHFkZ2cPmGWZl5dHY2OjOcuyq6uLDRs2AH2TCk6ePMmt\nW7dwOp0EAgE+/vhjEhISrDlZImJrSshEZNApKSnhwoUL7Ny50+pDERF5KdRlKSIiImIxJWQiIiIi\nFlOXpYiIiIjF9IZMRERExGJKyEREREQspoRMRERExGJKyEREREQspoRMRERExGJKyEREREQs9j/E\npI9w4qEgCQAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f80515bd320>"
]
},
"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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HdmdauusT9T5RWSfd42SUwguTMyJy39HDpukuLMnVi6CuWay9Li2FVFVTC4hc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\nf2vu9gAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f8051a29048>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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PMZgjIiIinxEFeVA+2+jravg1BnNEREQ+5deznWpNHEqF2LLWcUayi8EcERGRk0RhAYTC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\nQgghhBB12P8DdEzE2pUpwGEAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f805155d6d8>"
]
},
"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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s2YKUlBQMHjwYF110EQBg7dq1WLFiBQDgrrvuQqdOnSJ0SURkHOF/SYonHwAu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\nvXv3Ultby8iRI3nvvffcy58cO3aM/Px8fHx8Bk2P99R+cfn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"text/plain": [
"<matplotlib.figure.Figure at 0x7f80515ef7f0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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IiIhYlIKgiIiIiEUpCIqIiIhYlF9jd+ByyMrKYvny5ZimyeDBg0lKSmrsLomIiIg0eVf8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\nrkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f80516b7358>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Policy and Value Function Training Loss\n",
"df_plot(data, '_Episode', ['ValFuncLoss'])\n",
"df_plot(data, '_Episode', ['PolicyLoss'])"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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ikBWdyLAi9rUmMRXEna4g8TVqGXAQSWoTZQcAuUatmi3vI0AOB0wWo5K2g7HT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49LL720z+ddkiTce++9kGUZiqLgrLPOwjXXXIO6ujosXrwY0WgUY8eOxa233gpRFCHLMpYsWYLP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\nAhiHw+FwOBxOF8MFMA6Hw+FwOJwu5v8Dzj57hTXWdSYAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f80510f8e80>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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OHVZUVGj79u0aPXq0JMnv9ys7O9v1jgEAALR1UUe0Dhw4oEAgoCVLluiLL75Q7969NWXK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\nAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f8051083c88>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"df_plot(data, '_Episode', ['Beta'])\n",
"df_plot(data, '_Episode', ['_lr_multiplier'])"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.5.2"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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