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"cells": [
{
"cell_type": "code",
"execution_count": 191,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt \n",
"import RC \n",
"import RC.RC_cont\n",
"import RC.RC_utils \n",
"from IPython.display import clear_output\n",
"import h5py\n",
"import portalocker"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Plot training error and testing horizon statistics for different systems"
]
},
{
"cell_type": "code",
"execution_count": 216,
"metadata": {},
"outputs": [],
"source": [
"\n",
"lyap_dict = {'nosehoover': 0.014194487395331652, \n",
" 'rossler': 0.0712543971471619, \n",
" 'hyper_xu': 0.9902186962631022, \n",
" 'hyper_bao': 0.9351565859494392, \n",
" 'hyper_lorenz': 0.3608054631920994, \n",
" 'hyper_wang': 1.172650718856291, \n",
" 'lorenz': 0.905008696523648, \n",
" 'sakarya': 0.41020453574730764}\n",
"\n",
"filename_base = 'dataset_PL'\n",
"\n",
"SYSTEM_NAME1 = 'sakarya' #'hyper_bao' , 'lorenz', 'rossler', 'hyper_bao', 'hyper_lorenz', 'hyper_wang', 'hyper_xu', 'nosehoover', 'sakarya'\n",
"MODEL_TYPE1 = 'ESN' # 'ESN' or 'IA' \n",
"TIME_CHOICE1 = 'Cont' # 'Discrete' or 'Cont'\n",
"fpath1 = '../tau_sweep_results/'+TIME_CHOICE1+'_'+MODEL_TYPE1 +'/'+SYSTEM_NAME1+'/'\n",
"fname1 = fpath1 + filename_base+'.h5'\n",
"lockname1 = filename_base+'.lock'\n",
"lyap_exp1 = lyap_dict[SYSTEM_NAME1]\n",
"# Load the data \n",
"lock_path1 = fpath1 + lockname1 # Lock file path\n",
"with portalocker.Lock(lock_path1,timeout=30):\n",
" f1 = h5py.File(fname1, 'r')\n",
"\n",
" # File contains datasets 'Wout','Train_error', and 'Horizon'\n",
" #Wout = f1['Wout'][:]\n",
" Train_error1 = f1['Train_error'][:] # dimension 1 = IC; dimension 2 = tau \n",
" Horizon1 = f1['Horizon'][:]\n",
" f1.close()\n",
"\n",
"\n",
"SYSTEM_NAME2 = SYSTEM_NAME1 #'hyper_bao' , 'lorenz', 'rossler', 'hyper_bao', 'hyper_lorenz', 'hyper_wang', 'hyper_xu', 'nosehoover', 'sakarya'\n",
"MODEL_TYPE2 = 'IA' # 'ESN' or 'IA' \n",
"TIME_CHOICE2 = TIME_CHOICE1 # 'Discrete' or 'Cont'\n",
"fpath2 = '../tau_sweep_results/'+TIME_CHOICE2+'_'+MODEL_TYPE2 +'/'+SYSTEM_NAME2+'/'\n",
"fname2 = fpath2 + filename_base+'.h5'\n",
"lockname2 = filename_base+'.lock'\n",
"lyap_exp2 = lyap_dict[SYSTEM_NAME2]\n",
"\n",
"# Load the data \n",
"\n",
"\n",
"lock_path2 = fpath2 + lockname2 # Lock file path\n",
"with portalocker.Lock(lock_path2,timeout=30):\n",
" f2 = h5py.File(fname2, 'r')\n",
"\n",
" # File contains datasets 'Wout','Train_error', and 'Horizon'\n",
" #Wout = f1['Wout'][:]\n",
" Train_error2 = f2['Train_error'][:] # dimension 1 = IC; dimension 2 = tau \n",
" Horizon2 = f2['Horizon'][:]\n",
" f2.close()\n",
"\n",
"tau_list = np.logspace(-3.5,1,80) # list of timescale constants in the simulations \n"
]
},
{
"cell_type": "code",
"execution_count": 217,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(0, 0.5, 'Horizon (Lyapunov times)')"
]
},
"execution_count": 217,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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",
"text/plain": [
"<Figure size 1000x600 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# first plot the mean and standard deviation of hte Horizon vs tau \n",
"mean_horizon_1 = np.mean(Horizon1[:,:,0], axis = 0)\n",
"std_horizon_1 = np.std(Horizon1[:,:,0], axis = 0)\n",
"mean_horizon_2 = np.mean(Horizon2[:,:,0], axis = 0)\n",
"std_horizon_2 = np.std(Horizon2[:,:,0], axis = 0)\n",
"\n",
"plt.figure(figsize=(10, 6))\n",
"\n",
"# Plot mean curve for Horizon1\n",
"p1=plt.plot(tau_list, mean_horizon_1*lyap_exp1, 'ro', label=TIME_CHOICE1 + ' ' + MODEL_TYPE1)\n",
"# Create shaded region for standard deviation around the mean\n",
"plt.fill_between(\n",
" tau_list,\n",
" (mean_horizon_1 - std_horizon_1)*lyap_exp1,\n",
" (mean_horizon_1 + std_horizon_1)*lyap_exp1,\n",
" color='r',\n",
" alpha=0.3\n",
")\n",
"\n",
"# Plot mean curve for Horizon2\n",
"p2=plt.plot(tau_list, mean_horizon_2*lyap_exp2, 'bo', label=TIME_CHOICE1 + ' ' + MODEL_TYPE2)\n",
"# Create shaded region for standard deviation around the mean\n",
"plt.fill_between(\n",
" tau_list,\n",
" (mean_horizon_2 - std_horizon_2)*lyap_exp2,\n",
" (mean_horizon_2 + std_horizon_2)*lyap_exp2,\n",
" color='b',\n",
" alpha=0.3\n",
")\n",
"\n",
"plt.legend(loc = 'upper right')\n",
"plt.title(SYSTEM_NAME1 + ' mean and std. dev.')\n",
"plt.xscale('log')\n",
"plt.xlabel('tau')\n",
"plt.ylabel('Horizon (Lyapunov times)') \n"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(0, 0.5, 'Horizon (Lyapunov times)')"
]
},
"execution_count": 218,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 1000x600 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"ename": "",
"evalue": "",
"output_type": "error",
"traceback": [
"\u001b[1;31mThe Kernel crashed while executing code in the current cell or a previous cell. \n",
"\u001b[1;31mPlease review the code in the cell(s) to identify a possible cause of the failure. \n",
"\u001b[1;31mClick <a href='https://aka.ms/vscodeJupyterKernelCrash'>here</a> for more info. \n",
"\u001b[1;31mView Jupyter <a href='command:jupyter.viewOutput'>log</a> for further details."
]
}
],
"source": [
"qt1 = 0.25\n",
"qt2 = 0.75\n",
"median_horizon_1 = np.median(Horizon1[:,:,0], axis = 0)\n",
"median_horizon_2 = np.median(Horizon2[:,:,0], axis = 0)\n",
"qrt1_horizon_1 = np.quantile(Horizon1[:,:,0], qt1, axis = 0)\n",
"qrt1_horizon_2 = np.quantile(Horizon2[:,:,0], qt1, axis = 0)\n",
"qrt3_horizon_1 = np.quantile(Horizon1[:,:,0], qt2, axis = 0)\n",
"qrt3_horizon_2 = np.quantile(Horizon2[:,:,0], qt2, axis = 0)\n",
"plt.figure(figsize=(10, 6))\n",
"plt.plot(tau_list, median_horizon_1*lyap_exp1, 'ro', label=TIME_CHOICE1 + ' ' + MODEL_TYPE1)\n",
"plt.plot(tau_list, median_horizon_2*lyap_exp2, 'bo', label=TIME_CHOICE1 + ' ' + MODEL_TYPE2)\n",
"plt.fill_between(\n",
" tau_list,\n",
" qrt1_horizon_1*lyap_exp1,\n",
" qrt3_horizon_1*lyap_exp1,\n",
" color='r',\n",
" alpha=0.3\n",
")\n",
"plt.fill_between(\n",
" tau_list,\n",
" qrt1_horizon_2*lyap_exp2,\n",
" qrt3_horizon_2*lyap_exp2,\n",
" color='b',\n",
" alpha=0.3\n",
")\n",
"plt.legend(loc = 'upper right')\n",
"plt.title(SYSTEM_NAME1 + ' median and quartiles, '+ str(qt1*100) + '% and ' + str(qt2*100) + '%')\n",
"plt.xscale('log')\n",
"plt.xlabel('tau')\n",
"plt.ylabel('Horizon (Lyapunov times)')"
]
},
{
"cell_type": "code",
"execution_count": 209,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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72lppxw5p2zZp7Vpp927pwAGpuloaOVI9CiELAAAAQLcFqy1bwsubb4bBqq5OKi4Og1VRUVjJ6mkIWQAAAAC6XGWl9Oij0muvSQ0N0qBB0oQJUn6+ejxCFgAAAIAutXu39PDDYfXK660KCtSrELIAAAAAdJktW6SHHgrXX02fLuXmxh+A4fVZe/eGn590kpSTo4xHyAIAAADQJdaskR55JBxo4YCVHWdDqeXLpZtuCqtedv310vjx0o9+JJ13njIa+2QBAAAASKuGBun556X77w8/d4tgewFr6dLDAatpFez886W771ZGI2QBAAAASOsEweXLwxbBAQOksWPjH++2QFew4m1MfPXV4XGZipAFAAAAIC2qqqQHH5SefFIaNUoaNqz9+6xa1bqC1TJobdokPfaYMhZrsgAAAACkVEODtH279PTT0uuvS5MnS4WFzY9xJcqBas8eaehQqaQkHGrh64nwpsWZipAFAAAAICUOHpQ2bAj3vtq4MWwVnDZNysuLP9TCXOW6/PIwcCVizBhlLEIWAAAAgE4pLZXWrQsrU7t2hRsKuz2wX7/YQy1acuDy7V/4Qhi4YrUMZmWFUwY9zj1TEbIAAAAAJM1Vqs2bw7Hs3lS4slIaPDisXMXa+yreUIuoW26RPv5x6Xvf8zVPushqFrDsxhsze78sBl/EsGzZMpWUlGjBggXdfSoAAABARvEodY9Rv+ceafVqaeBA6YgjpNGj428u3N5Qi2hVbNDAiJb85x4NG1Dd7GuuYN11V+bvk5UViUQHIaIt5eXlGjRokMrKyjTQ7x4AAACgD9u5U/rHP6S9e6UJE8LWwEQ98oh0ww3tH3ftBRt1yqCVqs/O0b9eHqthM4botIsnBy2C3VnBSjQb0C4IAAAAICEOVg88EE4AdFtgtH0vUUMTHGoxtHy9NHGQcoqKNH1EmebNz9JJp6rHIGQBAAAAaFdFRRiwtm5tP2DVxxjP7o/xhlp4Ddbw/gdVcmy+lNtzVzYRsgAAAADEdeCA9PDD4QTB6dPjt+wtb3M8e0SXXxbRicdHdPnHpaXfiwaopkktXMV02TmbldODA5b17LMHAAAAkFY1NeFaKg+4iDc5sOl49t272xjP/t0sLb/5ZZ1Y/ZCWvOPFVkMthg+s0ZLz1+rEI/aqp6OSBQAAAKBNdXXSE09IL70kTZnSelPhxMezZwWVqpsfmaVFU3fpxBmlWjStVKu2DtGe6n4aOjiikokVyuklJSBCFgAAAIBWGhqkp56Snn02nCJYWBj/+PbHs2eptLJQq/aO09zJFXLH4dxBdZ7Zp96GkAUAAACgGW/y9NxzYcgaM0bq37/9oRa+nog9lXHKYb0EIQsAAABAMy+/HLYJDh8ebjQcf6iFdPnlSYxnH1Cb8HmUV2RpzM4XNO6F/dLD+9TtG2UliJAFAAAAoNHatdKjj0rFxdKQIa2HWrQUDLVYKn3hC9KwIfXavdcLq9qa7x4Jhlt47VWgoV7DNq5UQWWpqgcM1+6Jx0jZhwNU4TOP6dTHvq/i/TukJyXdLGn8eOlHP5LOO0+ZjJAFAAAAILB9exiwsrOlESMSHWoRuuVXEX38pNf0vb8ceWgcexvj2c/aGAy3GP3qQ5pz3w9UVLGz8YgDxSP18tnXaOus05T31BM641+fb7xfoy1bpPPPl+66K6ODVi+Z3wEAAACgM8rLw72w/HHcuGSHWkilu7M0qLpUS85bo2HFNTHHsztgzb9riQqbBCzzdd+uJx7XKf92ySzSuh7mxWJ29dVh8stQhCwAAACgj6uuDitYmzdLkydLWS3STcJDLTRE52Xfo/WRyXpIp+o2fSj4uK5hss7T3UGLoCtY1jJAhdezdPbT31T/yp1tNhw2Bq1Nm6THHlOmol0QAAAA6OOj2v/973Cz4alT254rkehQi+kHXtL8+5YEn5+q7Y23RyoVVKleO/nyZi2CLWUposKqBDcj3rZNmYpKFgAAANCHrVwZ7oXlmRL5+W0f4zHtniIYW0TDBxzUR5+7Nk6VSpqy4g6ljGfLZyhCFgAAANCHJwk++WRYqRowIPZxrm55THvbwnVSnz3uYQ2o3B6zzc+3FxxIcOPhpnPjWz1QVrg7sse5ZyhCFgAAANDHJwnGr1KFTjxRWrKk9bHD+x/Qkve+prOHrkjoeWsKB7acGdjiAYdLV1zR9teii8VuvDGj98tiTRYAAADQhycJeh1WlAf2eZKgB124uuU2waZZxkFr0aJDx2w7qKFbXlbJ6N3KGTZE1euHJ/Tcr8//oEoev0mRtqYH2mWXhU/k9Ndy52P3NDpgZfD4diNkAQAAAH10kuD06YeLQ95suGWmcdXKbYLOPFEOXXPnuBb1ulS5URoaznv3ZsLe66qwou3JgL5HVfEo/WPqYh0YPUXHPXiDsvaUNq9gRQNW00T3r3+FJ3LaaWGLYAZXsKKyIpHosHm0pby8XIMGDVJZWZkGxusNBQAAADKcK1WPPy499VRYwSooOBywlnprqhjcJtg0aAVJzCMJ+/eX+vVrvDm6B5ba3IpY+stpP1S/0xbppJI9KsypjV82i3rjDWnevIxYg5VoNmBNFgAAANAHlJVJ//yntGJFODciGrAcvFzBiufmm1vs/btjh1RT3Sxg2fYjTtMz5y/VweKRzW6vGjAqCFhDzlqgU+fsVmF+w6GS2FzplFPCjz2gQpUo2gUBAACAXsx9ay4GeYqgh11MmiQVFR3+uotJTVsE21JaGh7nLKSamnCPqgHFbR67/YjTtH3myRq2caUKKku1XWP0xtD5Or6kXPOn7wmWWvV2hCwAAACglzp4UHrmGem556TcXGnmzHCeRFPu1ktE43FOZBUV0qhRsQ/OztHuyfO0eXdhsNnx6XP2aPbEisb1X70dIQsAAADohVxs8lorV7HGjYu99ZSXQyWi8TiXw5yW4rT3Vddma+OuQg0sqtOpR+/W9LFV6kv6QLFOeu9736shQ4bo/PPP7+5TAQAAANLKa6dWrpT+8hdp48ZwgmC8+W2eN9HePlke/OfjVFUl7dolFbfdKljfIG0uLQwC1syx+/UfC3f2uYDVZ0LWVVddpVtvvbW7TwMAAADokuEWDzwg5eWFAcsf43FBymPa4/Fk9aBw5cVZ+/e3Gnhhuyvy9PrW/iouqtU75u/SOfN2avSQavVFfaJd8NRTT9XD3m0NAAAA6IVqa6U1a8L1Vzt3th5u0d5Gwx7P7jHtLffJarZ1lSdouAfRi7uaLOyqqs7W5tIiDSiq08mzd2vu5Er1K2g6irDv6faQ9eijj+r73/++nn32WW3btk1/+tOfdO655zY7ZtmyZcEx27dv19FHH62f/OQnWrhwYbedMwAAAJAJnHs2bZKefVZ6801pwIC2h1skstFwdO/fmFtXediFH+BQ72FdfZa27C5UXUNWMNTiuGllGjm4JvGT90SMrVulurpwpjwj3FNn//79QXC69NJLdd5557X6+h133KFrrrlGP//5z7Vo0SLdeOONOvvss/Xaa69p5Mhw/v4xxxyjOv9wWrj//vs1duzYLnkdAAAAQFdyEPLaq1deCatUkydL+fmtj4u10bDzkm9vutFwdOuqNrlV0OMKhw9XxYEcbdldpIkjqjR/epmmjKpKbjT7/v1hOvSEQp/0669LU6Yc3ryrh+v2kHXOOecEl1h+8IMf6PLLL9cll1wSXHfY+tvf/qZbbrlFS/yOkN9cK1N2PtXV1cGl6a7OAAAAQKZwznGwev55ae/ecHJgjDkUCW807ApW3EKSH2jLlqAHsbrWFawiHT9rjxbMKAs3Fk6merVtm3TggHTssVK0O+3RR6XVq6Xx48NyXA+X0YMvampqgjbCM844o/G27Ozs4PqT3k0tDb7zne9o0KBBjZcJLl0CAAAA3cw5xwWfP/1JevDBsCVw1qzYASvZjYbj2rcvuNT3L9a6Hf1UMrFCi2buSy5gVVWFC8e8WOwd75BOPz1sPfTlzDOlBQvCANbeCfcA3V7Jiqe0tFT19fUa1WKjM19/9dVXE34ch7IXXnghaE0cP3687rzzTp1wwgltHvulL30paE9sWskiaAEAAKA7eWXMv/4l+Vfg6NRAz59oT9IbDcfise11ddqwb5DGDzuok0r2KD8vktiDRw4NzHDIOvrosHo1eHDzY9wmePLJYeByf6MrXa5q9VAZHbJS5V9+RyaooKAguAAAAACZwvMhHLDGjGlzenpMSW80HGt04dat2l43XEVFDTp5zh4N7Nd6HkKbDhwIN+vymEKHKJfeYi3e8u3HHReW5tw+6F2UvdCsB8rokDV8+HDl5ORox44dzW739dGjR3fbeQEAAABdad26cDlTMgGr6UbD8TrwGjcajmX3bpXvqtb+/GE6q2SPxg07mPimXTt3hpM0XL0aMiSx+82YEa7L8hZMa9eGlbAeJqPXZOXn52vevHl6wLupHdLQ0BBcj9XuBwAAAPQmlZVh1ohXbfJ6rZdekh55JPzo60lvNBxD9ead2lrWT/NnVujICZWxn6ytxV5z53rtTuIBK8olO6/bcuWryVC6nqLbK1mVlZVa63fNIevWrQumBQ4dOlQTJ04M1kdddNFFmj9/frA3lke4e21VdNpgunhvLl+8JgwAAADoLu628xRBF3ja0t4eWAltNBxD/f4qrVt1QCXTa7VwZoWynkxgw60o/x7tsNTR/a8GDQoHYriqlWwJr5tlRSLdW397+OGHddppp7W63cHqN7/5TfD5T3/608bNiL0n1o9//ONgz6yu4MEXnjJYVlamgYc2XgMAAAC6glsE//zncHr6pEmJ74EV1XQPLGeemBsNx/Dmk9s1csMzeud/ZGngi48n/mS1tWE6vOCCcMZ8ZzmyZGWpuyWaDbo9ZGU6QhYAAAC6y/bt0h//GFadWhZzHJpciWpvvZULTx0pJm3fHlHkhRf1zpHPaNxRw5J7sr17vR+T9OEP97gqVCqyQUavyQIAAAD6sg0bwgF9beWUlO2B1Ybycmn/zv1669DVGje9KPkn278/bCPsRQGrR63JAgAAANCa5z289lq4dZTnS7Rs80vZHlgteDsrj4w/Ydw2Hblzk1R8RPJPVlWVmjbBHoqQFQODLwAAANCdNm2SHnxQ+utf254zkZI9sNrYM9hFqKPn1mvhnheUVTwguQfxcZFIeEn0Pr0Q7YIxLF68WKtWrdKKFSu6+1QAAADQB/3P/4SXll16vu75E96GyoErnnb3wDrELYlr1kh5edLb3y6dMWeH8ku3hg/QdMOtRJ7swKH+xmTHtvcihCwAAAAgw+za5Qnb8Y+55Rbp4x/v3B5YLjh5uIarZnPmSOeeG+ak7M0bw8EVhYXJb7hVWSkVF0uDB6uvImQBAAAAGcZj2/fta3/OhLeS8uT0lkUmF5WaTlRvy8GDYfXKucjVK29JFXT4OVy9/nrrkBTdcKu9J6us7Nz+WL0Aa7IAAACADFJXJ73wQuJzJk45RfIWsonugeXq1c6dYbuhj/N9m+WmzZvDBNfWxlwOUu09WW2tNGqU+jJCFgAAAJBBPNkv0Z1so7MlnHHmzk0swL35ZlgBc+XK+Si3ZSJYuzb86AVabYn3ZA5Yubl9ej2WEbJiYLogAAAAusO6ddLkyWF1qb29fxMZahHV0BAGLD/2ySdLI0a0cZB7FH0C0YEXyfJowgED+nzIYk1WDEwXBAAAQFfzciYXkpxxEp0zkaiNG8NgdeqpMQJWdPdj70TsUldHX8CQIVL//urLCFkAAABAhvCUv717w5yS6JyJROzYEXb/OWDFnMTuXsJXXw0rUVlZHXsBHt8+ru9uQhxFuyAAAACQAdzO99pr4dT07OzE50y0x4UpF5jOOEOaODHOgd6J2Jfx4zv2AryQzC9iWDv7afUBhCwAAAAgA3ji35YtrVv5Eh1qEWtMu3PTCSdIs2e3c7AXbDkkFRR0vIpVVNTn12MZ7YIAAABABvByKOeUfv1S83ju/lu/PtxkeOHCdjoAo4vBouMKOzr0oo9vQhxFyAIAAAC6WXV12CqYqnzizj0PCZwyRTrppNjT2JtNxfBisIEDpZdekh55JPyYzKTt6CbEuTTL8R2IgRHuAAAA6CrR/X8dilI1QMNLo7xRcbuD/twi6IEXTnlLlzafG+8H8ZjDRKZs1NT0+U2Io6hkxcAIdwAAAHQVd+p52EUqikC7doWPFXMvrLZGD/7979LNN7femMvXHbyWL2+/N9GLxzrTbtiLELIAAACAbuRQ5JkTCQWidlRUSGVl0lvekkRV7I03pLvuin+MA1i8Di82IW6GkAUAAAB0ozVrwozi5VAd5Y4/hzVPJ5w/Pxx2kfD4wb/+NUxm8biX0XPk46U7NiFuxJosAAAAoJs4m3g5lDcY7ggXlxyu9u0Ll0+5RfDYYw/vs5XQ4i0vCEuEN+qKpaqq4/tr9UKELAAAAKCbuFPP2WXmzOTuV1sbLqVyBWzkyHCj4Rkzwo69pEYQuoyW6EjDWOut/DjGJsSNCFkAAABAN41tf/FFafv2MDA5w5SUhPMj4t3Hx3uQn6elu3I1dWq4B3DSPNTCo9uPP166/fbWQy+acqnNJ9cWb+5VWMh6rCYIWQAAAEA3+MUvpK99rflyqFgT073mynnIQ/wmTJDmzg0HW+Tnd3L3Y+9t5TY/P6mnCMZy2WWx01906AWbEDdi8EUM3iOrpKRECxYs6O5TAQAAQC/jYX5XXdV63kSsiek7d4YzJd79buncc6VZszoZsFwKW71aGjQovO5Ut2RJ65Y/V7B8e7x9shzUxo5lE+ImsiKRaBMl2lJeXq5BgwaprKxMAzsz8gUAAAA4NKzCxSO3/cXibHPTTWHxyOuvPOL9rLOko45K0UmsWyf96U/S5MlSXl7zk/MUQS8US6R/0byJcUpPrudnA+ImAAAA0IUefTR+wGo6Md1tgR7+5yx0xBEp3v04K6t5wDIHKj9poty/6FGGrMdqhnZBAAAAoAt5ZHsiXEzycif3nR13XCfbA5vyvHeXxjo6N74pn2BxMSGrBUIWAAAA0IW8HCoR7tZzFevII8NKVsp4gkZ5+eH1WJ3h9VgeeMEmxM0QsgAAAIAu4iJSItPOXWQaPVrysp+kNhduj9dcuZTmaYBuF+ys6CbEqXisXoSQBQAAAHTh5sMuIv3nf8Y/7tJLw3VZRx8tjRiRwhPwhlxeEJaqB3UvI5sQt0LIAgAAALqA9+x9+eWwu669ieluD/RU9GRmUCRk27ZwXGFBQecfi02IY2K6IAAAANAFPDXd1alp08LrDlqLFrWemO6BfV42ddppUr9+KTwB72jsgRepWj/l9Vh+LDYhboWQBQAAAKSZg5OrWEVFzbedamti+vr10owZ0vTpKT4J73TsXY1TMVUwGrK8K3LLMfCgXTCWZcuWqaSkRAsWLOjuUwEAAEAP58qUJwWOGhX/OK/XcmbxyPbcVJdDvBbLLX6pKo+57dDTOdAKISuGxYsXa9WqVVqxYkV3nwoAAAB6MM+GcEugq1bx9rrycVu3SnPmSOPGpeFE3CroUlqqphSyCXFMtAsCAAAAaeRZE24BbK/o48F/HoRxzDFpmh3vSlZH1085VLly5b5Hf/QmxF6PRchqEyELAAAASBNXp7wtVXV1/C4955ayMunMM1OzR3ArDlgVFdKYMe0f65N1f6NPPsplOPcxuofRHx2wPP7Q+22hFUIWAAAAkCZbtkirV7dfxfJ6rUmTpCOPTNOJODQ5ICWyafDeveEJu2/Ro97d4+hL0899SdkOyb0PIQsAAABIA1ennnkm/DhwYOzjDh4Mp6vPmxd/zVaHubVv06bEW/uqqqSpU6WjjkrDyfQNxE8AAAAgDdaskdaulSZMaH/N1sSJYSUrLbzYy2uyEu1D9LqrVI1576MIWQAAAECKeRS7q1jFxfGrU9FZEt4rq+n+WSnlKpbbBBN5ApfULF7pDe2iXRAAAABIsZUrw1kTDlGvvy4NHSqVlLTOOS4yeVz75MlpOpGamnC0YaJTBd276DHvaZm+0XcQsgAAAIAUD7v47W+lu++W9uw5fLvHs19+uXTiiYenonv508knhwP70sIpzoMs3I+YCJ+QxyBSyeoU2gUBAACAFHHr309/Kt18c/OAZbt3S0uXSsuXh9d37pRGjZKmTUvjCXl3Y6e5RFOcQ5bXY3kSITqMkAUAAACkiMe1/+xn8Y9xAIvuizV7tlRYmKaTcbh6881wYVj0+ksvSY88En709bbaBZ380ClEVAAAACAFvNfvbbeF4Sme0lLp3/+WjjhCmjEjjSe0a1f4ZN7zyuWzm24Ky2mx+hejWI/VaVSyYli2bJlKSkq0YMGC7j4VAAAA9AAvvCBt2JDYsd582FWsAQPSeEKevFFdLT33XNin2DRgtdW/6CEZbitkPVanEbJiWLx4sVatWqUVK1Z096kAAAAgw3npkzvwEp0SOGZMmqtYkYj0xhvhpEBXsNrrX3TroDct9tALKlmdRsgCAAAAOjns4tlnw+VMCxeGXXjxeJr6O98ZjnVPG0/d8GQNV7NaVrBackvhqlXSgQNhwHIwQ6cQsgAAAIBO8D5YvkyYEO6D5WVO8VxwQdgqmFYOV65MOTglGso8WZChFylByAIAAAA6qLIyrGK5y66gILzNcySWLGld0fJk9Isuks4/Xxo5Ms0ntm6dlJ+feLnMxzU0tF+GQ0KYLggAAAB0kNdhbdvWen2Vg9aiRWEXnotEzjBTpoQD/0pKpKysNJ5UeXm4SMxP6k2IHZzitQw6/c2aFU7tYOhFSlDJAgAAADo4st0hasSIsE2wJd82d650yinhRy+RmjpVGjs2zSe2Y0cYtLw/ViL9i5ddFk4h7N+foRcpQsgCAAAAOtiR5yrVkCHtH+sM44F/rmJlp/s38I0bpdzcw08Ur3/Rt/vrXo/lkJXWmfJ9B+2CAAAAQJK8pdTLL4fddYmEJs+h8GCMSZPSfGIedOG2P48wbK9/0YkvWoJzyPLJpT0B9g2ELAAAAKADxSIHp0T2xaqtDStZc+a03VaY8lbBsrK2TyzavxjrJF3ZQkoQVQEAAIAkeAjf6tVhZsnLa/94r8XyOiwPvki7LVvCvkS3CybKx/vCeqyUoZIFAAAAJMEVLK/H8sC+TZtad941VV8fjnl/61vDiepp5WrUm28mPyHQuyh7A2ImC6YMIQsAAABIwq9+Jd1wQ9iVF+WZEh7i56VPTZWWhtMHPVUw7Zz8PCM+kR7Gprweyxt9UclKGdoFAQAAgAT99rfS177WPGCZq1pLl0rLlx++zR14e/dKs2eHGSat6uqkF18My2WJ9DC2DFkuxyV7P8REyAIAAAAS4Na/z30u/jE33xweZ/v2hUP+pk3roiqWp3GMGdOxiYSjR6fjrPosQhYAAACQgAceCIdYxOP2QE9JN3fuzZyZ2D5aKaliuRLV0YVfLUe+o1MIWQAAAEACXnopseO8DVVFhVRYKM2ale6zkrR+fcerWB6W4UmEDL1IKUIWAAAAkMDY9v37EzvWy5tc8XKb4KhRaT4x9ya6iuXRhgUFyd/f67H69ydkpRghK4Zly5appKRECxYs6O5TAQAAQDfz9lPFxeEUwXi8n290DdaRR0pZWV1QxdqwIdyIqyOcHP3C0j6Zo28hZMWwePFirVq1SitWrOjuUwEAAEA3e+21cFqgx7THc9llYRVr4kRp/PgMr2I1HXqR9jTYtxCyAAAAgDg8nv2NN6SRI8N9sJYsaV3RcgXLt7sJysuc5sxpe3PilHIFqzNVrGhQc38jUorNiAEAAIA4HLDKyw9nGQetRYvCKYIecuGMUlIShqqtW8PCULL7AXe4ipWd3fEqlh/DFSw2IU45QhYAAAAQZy7E6tWtiz0OVHPnth6O4amCJ5zQ8UnqCfM0Qa/HGjeu44/hVkGvxWLoRcrRLggAAADE4Bzj/a7aG3gRbSt0GEv75sNOc54n7yqU58R3JmR5sqAHXyClCFkAAABAjD1+X3klLPa0t77KQzEcsmbPDnNL2qtY69Z1bF+slpMFR4zogsVjfQ8hCwAAAGjD5s3h6HYPvGjPvn1h192MGV1QxXr55TDVFRV17rFqahJ7cUgaIQsAAABowRnGa7H8MZG5Em4pnDWrCwb1Ofl5Ekdnq1h+Yb6wHistCFkAAABAC65grV2bWJaprAyXRjlkdclaLIejzm4eXF0dVsKYLJgWTBcEAAAAmnCG8Vos73eVyPqqHTukmTPD0e3dVsXyOPa2ZsrHG5vokEUlKy0IWQAAAEAT27ZJr7+eWBXLBSFzpvGwv7QmP6/FcjWrZRVr+XLpppvCyRtRHod4+eXhpl6xQpZTYUf32EJctAsCAAAALbKMZ0IMGJBYFWvChPDSLf2LDlhLlzYPWObrvt1fjzW+Pe2lt76LkAUAAAAcsn17WMVKJH+4Q89ZxWPb0zoFPdq/6JnyTatYPgFXsOK5+ebwuLYec/Dg1J8rArQLAgAAAIc4y7iTrqys/eVNnijoCeiTJ3dB8muriuU1WC0rWC2VlobHzZ17+DYvNvMLYj1W2hCyAAAAgEOtf3/4g/THP4YBK97yJheC9u6VTj89nCyY9uTnxV8t+xebnmQ8LY9z+c0TPZgsmDa0CwIAAACSfv7zsPuuZSZpa3mTK13OKFOndkHyW7NGGjWq9dcS3ZSr5XH794eBLZHRiegQQhYAAAD6PE8UvPHGxJc3uVVw+vQu2HzYOyK7f7Gt1j73MbrMFs/w4eFxbU0WTOs4xL6NkAUAAIA+7447pH37ElvedPBguKTJe2OllZPcq6/GnsLhk3AfYzyXXdZ6QZmTYnvhDJ1CyAIAAECf5izz0kuJHetWwp07w5Ht48Z1QRWrsjL+2ikvFFuypHVocgXLt7fcJ8v7bLmCxdCLtGLwBQAAAPo0Z5n8/MSO9dRzz41wB152OssVTnM+MY8vbI+D1KJFYZmtvZGIPvmiIkJWmhGyAAAA0Gd5qIWzjDPKnXfGn4ju4pAzT0GBNGlSmk/MJ1VR0XpseywOVE3HtMfiypiHXjBZMK1oFwQAAECf5SxTXn54THt7y5s8VdBFIheD0saLw1yVcqpL9XAKhyz3OaZ192QQsgAAANAnubPOWSbakdfe8qbZs8Muu7SPbX/ttXATrnSMLvTQi7bGwSOlaBcEAABAn61iuTI1a1Ziy5tef1066qg0D+ZzWe3ll9NTxaqpkfLyumDuPAhZAAAA6HPckeeQNWJE6yzT1vImj233oIu0j233xsNOd+l4ouh6rCFDUv/Y6Hi74OrVq/X1r39dp59+uqZNm6YxY8boqKOO0kUXXaTbbrtN1dXVyjSbNm3SqaeeqpKSkuBc7/SKRgAAAPRpb755uFKVCI9tHz8+zWPbHYI8S94nlY7RhX5890YWFqb+sdFMQj+95557TmeccYaOPfZYPf7441q0aJGuvvpqfeMb39BHP/pRRSIRfeUrX9HYsWP13e9+N6PCVm5urm688UatWrVK999/f3De+/fv7+7TAgAAQDfatk3q3z+xjjwvY3Ily2uy0jovwv2I3vHYrYLp4Bcxdmx6HhvJtwu+733v0+c//3ndddddGuzNAWJ48skn9aMf/Ug33HCDvvzlLysTuNrmi40ePVrDhw/Xnj171N//qwIAAECfU1sbbkDcr19ix3usu3PP5MlpPKmqKunFF8ONuNJRxXJSdKJkPVaXSOgnuGbNGl155ZVxA5adcMIJuv3224NAlqhHH31U73rXu4IqWFZWlu65555WxyxbtkyTJ09WYWFhUEV7+umn1RHPPvus6uvrNcFbdAMAAKBP8mwJZ5pEQ5YH/R15ZJrHtq9dG/YkepFYOriTy0UGQlbmhKw8TyFJQjLHu3Xv6KOPDoJUW+644w5dc801wVowty362LPPPls7/SY85JhjjtGcOXNaXbZu3dp4jKtXF154oX75y18m9VoAAADQu3ii4IEDiYUmBzLPipg2LY0n1NAQThT0fPh09SN6PZYHXhQXp+fx0UzCtch3vOMdKvM78pClS5dqn8eyHLJ79+5guESyzjnnHH3zm9/Ue9/73ja//oMf/ECXX365LrnkkuDxf/7zn6tfv3665ZZbGo9ZuXKlXn755VYXV8fMa8TOPfdcLVmyRCd6LmccPra8vLzZBQAAAL1H9FfaRNZj+e/6DlhpHdvuE/LFIStdXMny5I5Uj4VH50LWfffd12ygxbe//e2gOhRVV1en17xxWgrV1NQELX4euhGVnZ0dXPf6r0R4KMfFF18cTET82Mc+1u7x3/nOdzRo0KDGC62FAAAAvYuDUyKNV/7V15mk6T5aaeHChUtrifYvJisSCS9pTYroUMhyWIl3PR1KS0uDNVSjWuxK7evbt29P6DGeeOKJoOXQa73cVujLSx6NGcOXvvSloGIXvXgEPAAAAHoHz39wyEpkBtqOHV0wtj0asvy7dayBFz5p//76yCPhR19Pdqqgx7azHqvL9PrNiN/61reqwX2uCSooKAguAAAA6H0qKsLlSe3Mcwsyj4tLHniR1rHt5uJBfn7bX1u+XLrppnDEYZQrUpdfLrWzDKaRX7DXYrEJceZVsjz5z5eWt6WTx63n5ORoh/+M0ISvexw7AAAAkAwvffLypDfeiF8YchhzLkn7tlJ1dbFLaw5YS5c2D1jm677dX0+EX4y3NMrt9fWVjJHwdzq6tila5Tl48KCuuOKKxv2m0rEBcX5+vubNm6cHHnggGFxhrkr5+qc+9Smlk6cd+uJ2RQAAAPQOf/yj9M1vHh5+Easw5NEDU6Z0QfEnmvparpfy76CuYMVz883SokXtl9q8MRgFiswMWRdddFGz6x/96EdbHeMR6cmqrKzUWu8LcMi6deuCaYFDhw7VxIkTg/Htfu758+dr4cKFuvHGG4Ox7542mE6LFy8OLp4u6AEYAAAA6Nnuvlu69trWt0cLQ0uWhEHLrYKuH0yd2gUnFR160XKe/KpVrStYLZWWhsfNnRs/YLmCxXqszAxZv/71r9NyAs8884xOO+20xusOVeZg9Zvf/EYf+MAHtGvXLn3ta18Lhl14cMW9997bahgGAAAAEIsLQ1ddlVhhyIWlLmkVtOiWSC2X4TSZ4h1Xe8d5PZY3+mI9VpfqdGPmhg0bgsrSEUccEYxXT9app57a7qRCtwamuz0QAAAAvddjj0mbNydWGHImcRWrveEYKRt64cl/LSVaeWrvOIcsp8V0jYdHmxJORd781xsDN/WJT3xCU6dO1dy5czVnzhzGnQMAACAjbduWeGGopibcgDjt3Mq3a1fbQy9KStrf12r48PC4eKqqumAGPTocsn75y19qSJMyo1v23EJ46623asWKFRo8eLCuu+66RB8OAAAA6DIerpcIz3jr0lZB9ya2FbI8zMLTOOK57LL4Qy+8jZHbENmEOHND1uuvvx4Mn4j685//rPe85z36yEc+ouOOO07f/va3g6l/vYUnC5aUlGjBggXdfSoAAADopJNOkkaMaL8w5GMmTJC6ZO5ZdOhFrD1aPYXD0zhahiSfaHRKR3tVLAc4hl5k7pqsAwcOaODAgY3Xly9fro9//OON19026MEUvQXTBQEAAHoPjw742MekFqtfmvGvtt62qkumCtrevWGlKd7esw5SnsbhxWLuZXRgcotgIjske38s/x7b5Hd4ZFgla9KkSXr22WeDz0tLS/XKK6/oLW95S+PXHbAIIwAAAMhELuoccYT0mc/ELgzNnh3mkS5pFbStW1uPbm+LA5XHtJ9ySvgxkYBlbkX0eqwODKdDF+6T5cqOw9WDDz4YTBP0RsFNK1sefgEAAABkGu/566DlnOLdg9oqDL35pjRzZhcVfrwRl0+grfVYqZxbP3Jk+h4fnQ9ZX/jCF1RVVaW7775bo0eP1p133tns60888YQ+9KEPJfpwAAAAQJeGLLcC5uWF11vu3+sZEf76lClddELRoReJTuToSIjzWi/2x8rskOU9sK6//vrg0paWoQsAAADIFNHlT7GUl3dxq6BDlmfFxxp60Vlej+UxiQy96BY0aMbAdEEAAIDetU9WvOVP7tybOLELZ0T4CeOlvlSErNGjD5fukJmVLE8PTMSbbmbtBZguCAAA0DscPBgWjmItf4q2Ck6e3IUnlejQi85sdJyuVkSkLmStX78+mDD44Q9/WCNZQAcAAIAeIrr8KVYroNdrdWmroPfGipf6OsuJ0RMFaRXM/JB1xx136JZbbtEPfvADnXPOObr00kv1jne8I1irBQAAAGQqr7dyYSfW8id37nnCoJcwdWnq83j1dPBjDxhAyOpGCSekCy64QP/4xz+0du3aYHT7Zz/7WU2YMEFLlizR66+/nt6zBAAAADqRaWLpllZBn5BTX35++tZjOWClczw84kq6DDVu3Dh95StfCYLVbbfdpqeeeirYM2uvR7YAAAAAGWb79tjLn9wqOHhwF7YK2u7d6R164Q3BJkxI3+Mjde2CTR08eFB33XVX0D7okOUqV79+/TryUAAAAEDaeEq6M02sX1XdKjh7dthd16WjDqNVJm8Y3NbOyB0ViYQXWgV7TshyoPrVr36lP/zhD8G0Qa/L+uMf/6ghvXCTM49w96Xeb3wAAAD0SK5UubDT1tw2/5rnS5e2Cnq9VHToxfLl0k03hSkwatgw6fLLpRNP7Njj+8X6sQlZPSNkzZ49Wzt37gymCz7yyCM6+uij1Zsxwh0AAKB3hCyPcG9r6IW/5l/zurRVMDr0wjMNvv/91l934Fq6VFqypGNBy+uxPCrRPZDI/JC1evVq9e/fX7feeqt++9vfxjxuj0udAAAAQAZwkHL3XFtLoDxSwK2CXTofIjr04pZb4h93883SokXJtw46wM2YEY5wR+aHrF//+tfpPRMAAAAgDUMvCgszpFXQSku9AW3zFsFYx3mt1ty5yT2+XxR72vackHXRRRel90wAAACAFPJo9l272h560S1TBV1S27pVqq5O7PhkO8Q85SMvT+qF8xJ6moTqiBG/IQAAAIAetglxdA5EW62CrmJ1aatgZWV4UqNGJXZ8ssMr3CroF0TI6hkhy0Mvbr/9dtU4HcfhvbM++clPaqkX6wEAAADdyNWqAwfabhd0lWvMmC4+Ia/Hcuo77rhwimA8w4eH49yT4cd2ea6tF4zMaxf8yU9+oi9+8Yu68sordeaZZ2r+/PkaO3asCgsLg02IV61apccff1yvvPKKPvWpTwVBCwAAAOjukGUtZ0B0W1edQ1ZDg5SfH45pj1eYuOyy5IdeOGSNHt3p00QXhay3ve1teuaZZ4Igdccdd+h3v/udNmzYoAMHDmj48OE69thjdeGFF+ojH/lIr9kzi32yAAAAejavx3KYaqurzpsPd/mvrT6haHDyeHaPaW+5T5YrWA5YHRnf7iU+veR38Z4uK8KCq7ii+2SVlZVpoPccAAAAQMZzweh3vwurVi2H7W3aFA68OPfcLj6h3/++dbXJf9D3FEEPufAaLLcIJlvBivY/btggXXCBNG5cSk8dyWeDhKcLAgAAAD2F50u4YuXNhlvyOq0uzyHeJNiDL1r+Yu5AleyY9rY4vHmMYlsvGF2OXcoAAADQK9djOXcUFTW/PdrDlezgvpSsx3Lqa3lCqeLHLi7u4nGJiIWQBQAAgF4ZshyoWnbeuYrlgk+3DL1o64RSxYnS4xKzstLz+EgKIQsAAAC9Tmlp23nGHXseetHlXXU7d7Y9hSNVvLary8tzSEnIqqur06233qodO3YkczcAAACgy7hgtH17251zDlku+KSroBQzAMU6oVQ9vitYrMfqmSErNzdXV1xxhQ4ePJi+MwIAAAA6wUHKcybcFtjWEL5Ro7phCodPKl0hK9oDScjque2CCxcu1MqVK9NzNgAAAEAK1mNFc0fLgOUKVresx2prCkeq+LEd4Dz4Ahkh6RHuV155pa655hpt2rRJ8+bNU/8Wifyoo45K5fkBAAAASS9/cgddbovfdKPFpG4JWZadnb7JguPHd3EPJFIasj74wQ8GHz/zmc803paVlSXvaeyP9X5H9wLLli0LLr3l9QAAAPQFmzdLK1a0HaQcskaM6OIp596EeOtWKT8/fc/R1o7L6Fkha926deoLFi9eHFyiuzoDAAAgs3kd1mOPSR4fMHZs66+7hdAFny6dwOHE9+qrbZ9Qqp6DoRc9P2RNmjQpPWcCAAAAdJDXWy1fHlayZsxoO4v4MmxYF52Qn+z558OTcvnMc+PTwYmysFAaODA9j4+uCVn2xhtv6MYbb9Tq1auD6yUlJbrqqqs0bdq0jp0FAAAA0AkvvCC99JILAm0vTYpmkcGDu+iEXn45LKu5bzGdi8CiQy+oZGWUpFff3XfffUGoevrpp4MhF7489dRTmj17tv75z3+m5ywBAACAGDZskJ56Sho+PPYAv+jQiy4JWW4PfOSRcNpfuktnHnrhTYjTudEx0l/JWrJkiT772c9q6dKlrW7/4he/qDPPPDP5swAAAAA6OK7dBSPPKouXZxyyZs3qgiyydq300ENSQUHYJphu1dXS6NHpfx6kt5LlFsGPf/zjrW6/9NJLtWrVqmQfDgAAAOiQ2lrp8cel7duliRPD2xy23DboQpI/RgdF+9i0Z5H166UHHww/76rg47VfXdYDibRVskaMGBFsRjyjxYpC3zaS0ZEAAADoIs895wKANHlyuAWVZ0zcdJO0e/fhY1zdcn1g1Kg074/liRsOWE5z0cTXFVUsl+YYetHzQ9bll1+uT3ziE3rzzTd14oknBrc98cQT+u53vxtsUgwAAACk2xtvSE8/HW4P5c48B6wWq1kCDlzf+570n/+ZxoKPS2kPPBCuj+rKSdwMvchYWRHvIpwEH+7JgjfccIO2emM1eez/WH3+858PNij2hsS9SXSfrLKyMg3krwQAAADdbs8e6f/+L8w0EyaELYGXXda8gtWSK1rOQrkdmq0dR2mpdO+94cepU8M9q7rKli3htI/zz++65+zjyhPMBkm9zerq6nTbbbfpwx/+cDD8osI7vsmDU4o7f8YAAABAAh1yXoflTBNdveKxAPEClvnrvt+pp6bwZHwSnq69c6fkrYy6utjgShZDL3r+4Ivc3FxdccUVOuiNBg6FKwIWAAAAuoqH961ZE67DimYaV7YSsW1bGgKWH9QVLC8K62puSPP4dmScpN8NCxcu1PPevRoAAADoYh7gl58fXqISzRljxqToJHbtku6/PwxYrmC1tftxutXVhc/LeqyMlHRX6pVXXqlrr71Wmzdv1rx589Tfi+2a8ObEvcGyZcuCS3107icAAAC6lVeqeCRAyymBJSXhmqt4LYPjx0snnZSigOUKlhd4OWB1RwUr2irYrx+TBXvL4IvsNt5IHnbhh/HH3hZKGHwBAACQOa2Cf/6zNH1662wTa7pg1B//KJ13XooqWDt2dG/AMoe8AQOkD36w69eC9WFpGXxh69at6+y5AQAAAB0apudc01a28c5CS5a03ifLY9u/8pUUBCwPt3AFKxMClnm0oid/ELAyUlIhq7a2Vqeffrr++te/6sgjj0zfWQEAAABN1NT4j/3xlyA5aC1aFE4b9DAMByzvofW+96UgYLmC5UpWJgQsc/cYQy96R8jKy8trnCwIAAAAdBUXkPbtkyZOjH+cZ0HMnRt+XlkZ3qflGq6kn9gVLAes7poi2FbAcgWLoRcZK+l3yeLFi/Xd73432DMLAAAA6KolSP71My8v8fs4ZHnZTIeX1WdiwLIDB6SiIkJWBkt6TdaKFSv0wAMP6P7779fcuXNbTRe8++67U3l+AAAA6OMaGqQ33vAerR1bttShbORq0RNPHN5oOFMCVnSyoIdesF9t7wlZgwcP1vs63dgKAAAAJL7vr4dZDB+efE4aMaKDT+oFYBs2hP2JmRSwoiHLM+m7Y38upCdk/frXv072LgAAAECHuWvPHXLeFipRtbVSbm4H12O5L/HFF8MQ48kZmaa6uhPpEV0h4Vi+06XSOLxG6+mnn07FOQEAAACN1q+XCguTu4/XY3lVS4dClqtYftKxY9UpLqW99JL0yCPhx1TsJ+stbhl60XsqWWPGjNG2bds0cuTI4LrXY/3973/XhAkTguu7d+/WCSec0Os2IwYAAED3KS+Xtm0Lx7H718zoeHZPLy8pid0x5/VYY8aE8yGSrmK98EI4YaMzVSzvjtxy065hw6TLLw9nzXeUJ307cRKyekfIijg1N7F+/fpg36x4xwAAAACdnSrooPXmm9LNNyeeWbxsqUOFKD/Rxo3SpEmdC1hLl7a+3Sfv271rckeDll+YS3SErIyW0lV8Wew4DQAAgBTavDmsXn33u80DVtPM4kzTVPTv/knv1esCgqtY+fnhpSNcbnMFKx6nxY52f7lE5xeWzCx7dLkMG5UCAAAAHO6M8/Koe+5JLrNEt5FKej1WtIrlPsOOrrdyImyZBtsal+jjOjr0YvTojt0Xmdcu6CpVRUWFCgsLg7ZAX6+srFS567dBv2z4EQAAAEgFz1177jlp797EMsvcuYeLPd5Cyuu4kq5ieb1Te1WseOutWiynickLyzrCZbqkXhgyfk3WzJkzm10/9thjm12nXRAAAACpsnWrVFaWfGbx3/7nzElyGynvduzexMmTO7fe6kMfSuz5ku5llFRTE7YJDhyY/H2RmSHroYceSu+ZAAAAAIe4+87de6NGJZdZGhrCAYHeQzip8OJ9sTxNMN5ap0TWW91/f1jVitcy6F2VPRoxWS7RMfSid4WsU045Jb1nAgAAADRpAXR1asGC5DKLK1/OIIksq2pWxdq0SZoyJf5xiay38tc//GHptttiH3PZZUmW2ZpMFvQ3I+m59OhqDL6IYdmyZSopKdEC/y8bAAAAXT663QMsXLjxUqd4mmYWBzNXsbwmK+EqltdiObi0N7Ev0XVUTnge0+5A1DINdnZ8e1LpERlfyeprFi9eHFw80GMQJVkAAIAu49kObhXs1y+87kzibNJy1oQziwNWNLO4VdAdfe0tq2pm7Vppy5b2q1jJrKPycZ7CsWhR4rsnJ/qN6chaLnQ5QhYAAAAyilv+PFmw6RA9B6n2Movv55kQCRd7PA7dVSynuUT2nfITJtO76JOLjjzsLC808+Mx9KJHoF0QAAAAGdcqWFnZuuUvmlk8KsAfWxaFPOp9woQkcki0ipXovlN+wmR6F1O9aZjHyyfcB4nuRCULAAAAGcUzKJxTktkdKDpVMGgV9AO89loYSFyl8nqrpheHlWgVy4u+cpP4lTjR3sVU8/n6vH2+6H0h673vfW+b+2H5Nm9UPH36dH34wx/WrFmzUnWOAAAA6CM87MIZKdn9dr03ljPV2LGSVq6TnnoqDCVRTm3eZNgXj2p3WNm2TZo6NfmTTKR3MR3fGFfckgmE6Dntgh4C8eCDD+q5554LgpUvzz//fHBbXV2d7rjjDh199NF64okn0nPGAAAA6LV27JD27Ut+K6jGVsHiSNgCOGKENHPm4YtLXF5P5YDliYJ+Ih/T0dDSXu9iOipZDL3oMZJ+V40ePTqoVP30pz9VdnaY0RoaGnTVVVepuLhYt99+u6644gp98Ytf1OOPP56OcwYAAEAvtXVrOEQvmezjVkHnpmBAYEXF4bJWUw5Bbh2MjizsaTw2kYnXvbeS9atf/UpXX311Y8AKHiQ7W5/+9Kf1y1/+MqhsfepTn9LLL7+c6nMFAABAL+Y1VR7dnuwAPecqZ6pgqqBLWvv3dy5MOdC89JL0yCPhR1/PBKzH6r2VLLcEvvrqq5rpsmsTvq3+0BvQa7PaWrcFAAAAxLJrV7jEKVhXlQTfZ9q0Q4WedXvDUlhH2/eWL2891MJthp4qmK6hFu2prQ1LewMGdM/zI/0h62Mf+5g+/vGP68tf/rIWLFgQ3LZixQp9+9vf1oUXXhhcf+SRRzR79uzkzwYAAAB91oYNYdufl00lynnK92mcX+FhFh5u0dGAtXRp69sduHy7pwp2R9CKjm+nktV7Q9YPf/hDjRo1St/73ve0wwsGpeD6Zz/72WAdlp111ll6+9vfnvqzBQAAQK/kHOGp60OGdKJV0BUf/37akYqPO7JcwYrn5pvDqYLpHnLREiGr94esnJwcfeUrXwku5V5UKPfNNm+cnThxYurOEAAAAL2ex7aXloZtf8lwkclVrGDk+6594XqskSOTPwGPY2/aItgWn6CP8zTBruTJgk6RXR3u0GGdGrTfMlwBAAAAyXLL35o14bKjZHKE7+f80dgq6KEX0apPsrywK5XHpZJfk9eFofdOF3SLoNdljR07Vrm5uUFlq+kFAAAASIYLRBs3Jl+Acqug/+bfOCjDlaiODl9LdA+q7tiryjPqKW707krWxRdfrI0bN+qrX/2qxowZwxRBAAAAdHrghbv8xo9P7n4uKnlvrKBV0DZv7vjo9pKSsFoUr2Vw+PDwuO7AZMHeHbK8wfBjjz2mY445Jj1nBAAAgD7DkwFffTX5fXajrYLBBsTmlFZW1vEw4o4sj2lva7pg1GWXdf26KH+D8vIYetHb2wUnTJigiN/VAAAAQAoGXuzcmfySI7cKOk81tgp6PVZlZefCiMeze0x7y5NxBYvx7UhnJevGG2/UkiVL9Itf/EKTJ09O9u4AAABAo7VrpezssFiTDGcqD7RubBX0DR7D7ukZneEg5THtniLofkSvwXKLYHfNHnC5jpDV4yT9LvzABz6gqqoqTZs2Tf369VNei/9F7OmOiSsAAADocfxr47p10ogRYT5KNNe4qcoFHo97bxwP4P2xOhuwovzEXT2mPRa/UC9WcxJF765kAQAAAKkYeOG2P3/0PsBNZ064Y89LpNrq0HNXoFsFgw2IzQlt27beORzCIcvtiujdIeuiiy5Kz5kAAACgz6itDQdevPGG9ItftP66A5dnULS1FMrVrgkTpCFDDt3ggRdOXt0xXj3dXLYrLu7us0A6QlZ5eXnjxsP+PB42KAYAAEB7tmwJi0933RX/uJtvDpdIRVsHnTkOHGjRKuj1WFVV0rhx6lX8Yn1hPVbvDFlDhgzRtm3bNHLkSA0ePLjNvbE8cdC317tcCwAAALQz8MJVrHjbUkU3KvZaregSqWirYONUQYvOBOht+7d6fHtBASGrt4asBx98UEMPlV8feuihdJ8TAAAAerF9+6Q335QaGhI7vulcNYcyTxVsbBWMlsWKitTrRCcL9sa1Zr1cQiHrlFNOafPznmDfvn0644wzVFdXF1yuuuoqXe5VlAAAAOgWGzeGy6g8NC8R0aVWbphy7pg1q0nRyoMhnMKiQSSRMYXJjDLsTtE9snpjgOzlcjsaXJ5++mnt3LlTDS3+BHHhhRcqkxQXF+vRRx8Nxs3v379fc+bM0Xnnnadhye54BwAAgE6rqwsHXkSnA/pXsngtgx6s5wxkzkQ+ftKkJgdENyH2eqzly9sfU5jIMZkUskaPZnx7XwhZ//d//6ePfOQjqqysDIZcNF2f5c8zLWTl5OQEAcuqq6uDtWO+AAAAoOt52MXWrWEVy8UjZxtPEYzlsssOF5kcst761haFHYcsjyp85pm2H6jpmEJr75hMClou2/XGiYl9QNKx+Nprr9Wll14ahCxXtPbu3dt46chGxK4yvetd79LYsWODkHbPPfe0OmbZsmWaPHmyCgsLtWjRoqCKlgyf59FHH63x48fr85//vIaz1wAAAEC38LALN0J5noM50zjbtGwy8q9rTTOPi1UOV1OmtHjAXbvC3kFXp+Lx19s7xqMMM2mIG+Pb+04la8uWLfrMZz7TWB3qLLfwOQA5uLmNr6U77rhD11xzjX7+858HAcubIZ999tl67bXXgmmHdswxxwTrrVq6//77g/DmiYgvvPCCduzYETzH+eefr1GjRqXk/AEAAJAYbzzsqYItA5WDlMe0x1sm5Sw1dap06Ne/kNOay2K+tDemsL2vtzXKsLsDlsMjkwX7RshywHnmmWc01e/yFDjnnHOCSyw/+MEPgkEVl1xySXDdYetvf/ubbrnlFi05VPZduXJlQs/lYOVA99hjjwVBqy1uKfQlqr19wQAAAJD4wAt3982c2fprDlSxso3/lu6OwGYDL6Kpzb+ree1SqnSgMytt49vz85ks2FdC1jvf+c6g5W7VqlWaO3eu8vLymn393e9+d8pOrqamRs8++6y+9KUvNd6WnZ0dTAt88sknE3oMV69cdfMAjLKysqA98ZOf/GTM47/zne/ouuuuS8n5AwAA4HDRafVqyc1Qyc5xcIFpxAhpwoQWX3Bi278/HA6RKpmyBio6WZBKVt8IWdHx59dff32rr6V6M+LS0tLg8Vq29vn6qx5Lk4ANGzboE5/4ROPAi09/+tNBOIzFgc7tiU0rWRNa/S8aAAAAydixIxx60ZEVGx737l2EnDlahSy31c2Z0/6YwmiPYqKjDDMhZHkRGuPb+0bIajmyPdMtXLgw4XZCKygoCC4AAABIne3bww64ZDODOwJdzGk18MK8Fsu/tyUypjC6T2qiowy7m5evjB3boj8SPUVGD933FECPYHfLX1O+PjqVZWEAAACkjYtNb74Ztgoma+dOafLk1sMygsTmaRjRNUuJjClMdJRhpoQs9nXt3ZWsH//4x0HLnUeo+/N4PHkwVfLz8zVv3jw98MADOvfccxsrab7+qU99KmXPAwAAgPRxV5/D0uDByd3Pwy7cROVBGa0KOvv2hXPdm/YfJjKmMJFjMiWZMvSid4esH/7wh8EGxA5Z/jwWr8lKNmR5v621nuV5yLp164L2vqFDh2rixInB+qiLLrpI8+fPD1r/PMLdY9+j0wbTxXtz+ZLKNWYAAAB9kQOW51OMG5f8wAuPbG9zebyTm6s9LRdqxRtTmMwx3cnJ0qmSkNW7Q5aDT1ufp4LHwZ922mmN16NDJxysfvOb3+gDH/iAdu3apa997Wvavn17sCfWvffem/Z9rhYvXhxcPPhi0KBBaX0uAACA3mzTJik3N7nlRS7keODF/PnhJPNWPMCit65Xciuk15oxWbDvDL5ItVNPPTWY+hePWwNpDwQAAOh5DhwIQ1ayrYLe/mrgwHA9Viv+3XHLlt4bQjxZkJDV90LW5s2b9Ze//EUbN24M9rJquXkwAAAAYJ5f5uVTbU4HjMMzLWbPjrFtlXsP/aC9OWT5tbWaWY9eG7I8dMIbDk+dOjXYq2rOnDlav359UI067rjj0nOWAAAA6JG8N5YLT24XTFT0b/geeNEmr8fy0AtPBexuPhdXnToyOjFeyJo4sfe2Q/YBSY9w92a9n/vc5/TSSy8FgzD++Mc/atOmTTrllFN0wQUXqLfw0IuSkhItWLCgu08FAACgR/L8MI9u9/yGl16SHnkk/NjeXDFXsbxbz/jxcYKNh0Mkk9zSwenRG4C5dTGVnDLbLOGhp0j6nbl69Wr9/ve/D++cm6sDBw5owIABuv766/We97xHn/zkJ9UbMPgCAACgcxyWHnpIuueecE5FlLd/8t7AbW1L5dzi9VgnnBAnQ7kHMS9PGbHgzG19njXvYNTmhI4OYrJg36pk9e/fv3Ed1pgxY/TGG280fq3UczYBAAAASbfdJv3qV80Dlvn60qXS8uWt7+OlVkOGxBh4YXV1YfUoE0KI14Z5OofnzKfq9+Do+Pbeut6sj0g6ZB1//PF6/PHHg8/f8Y536Nprr9W3vvUtXXrppcHXAAAAALcEfvvb8Y+5+ebWrYPOKtOnSzEbiTzXvaIiM0KIz2PMGGnWrLD8lgre+4vJgn2vXdDTA72BsF133XXB53fccYdmzJjBZEEAAAAE/vGP1hWslhyoVq06vC+w80V2tjRtWpw77dkTtukVFanbuarmxWPev9WhyL8jd7bC5qEXfm2ErL4Tsurr64Px7UcddVRj6+DPf/7zdJ0bAAAAeqg1axI7zpmp6VKrcePCS9xxhW6n6+7Je16H5UVjHlDhKYc+aW8IloqQ5TIe49v7TrtgTk6OzjrrLO31RJdejumCAAAA6RcdoueikAtUc+b4d844wWbDhnAdVCa0ChYXhy/AgW/GjDAgeU1VZ/gxmCzY99ZkeV+sNz2Ls5fzZMFVq1ZpxYoV3X0qAAAAPYrb/lyM8QCLeFwAKikJP9+5M+y8i7tpsfsL/cf+wYPV7dwa6IEX0YrThAnheXnNWGc4SBKy+l7I+uY3vxnsk/XXv/5V27ZtC0acN70AAACgb3Pbn38tvOyy+Mf5665aufjj4702K26XnJOYQ4gHQ3Q3V5zGjj183VUtJ8T2FqIlgvVYfWdNlvfB8iRBTxS0d7/73cpq0gsbiUSC6163BQAAgL7LE9YdnE46KQxRN93UPHu4guWAFd0ny1/z3llxB16Yu6kyYa2Sf9/178EtK05Tp0ovvhgGwY7s4xV9XEJW3wlZniR4xRVX6CHvKAcAAAC0weHK26hG5z84SC1aFE4R9JAL5xK3CEbXXXnzYYcsB7K4MyPchudKVia0Cnp/LAehliHLwy+cIP2C3PvYkT5LJgv2rZDlSpWdcsop6TwfAAAA9GDOFw5TzhpRDlTRMe1tbT7sORaeGxGXA5bXQXUkvKSaz8MByy2CTeXnSzNnSt5TtiPn6RZEt0JmwkbL6Lo1WU3bAwEAAIC21mNVVUn9+iV2/K5dYS5xu2BcW7eGrXTeSCsTKlnjx7c9Rn7ixDBs+ZvQkZDl4Ob7o+/skzVz5sx2g9aeppsd9PAR7r6wxgwAACBx69cnvmzKBSEfe8QR7RzoNU5+4ExoFXR3ly9NS3VNeWPiMWPCyluiSbNpuyCTBfteyPK6rEGex9kHeIS7L56Y2FdeMwAAQGe3jvJewYlmIVe9Zs1KoLPOgcV9ha4edTdv5uV1U7HCkCttflHr1oVhLJlOsJqa9ufeo/eFrA9+8IMa6f0AAAAAgBij2xP5ddFFGzvyyARyiEOWdyvOhDa66CbE8ZKkw6AXmvmbkcwf65ks2Gsk3NTKeiwAAADEs2VLWMhJZNmUK15evuQ9fONyNchVoWRb79LFPY6eIhgdj9gWV6MmTw43T06Ul6j4MRl60bdCVnS6IAAAANBWp5uXTSVSuPESK1/mzImfVRpHt3s6RqYs33BFzeuu2uM9szzPPtH1/dHJglSy+lbIamhooFUQAAAAbXIO2rs3sSzk7j/PhnCxJ6EeRFePMqHC4yTplsVEhlO4ZdAVrUSHwjlkeQoIIatXyIAZmAAAAOjptm9PbNmUCzte1uQqVkJLrNyD6HKXl674zi+9JD3ySPixq6dA+8Qd9hIJWR6O4c2/nDwT4UVqXuuVl9fp00QPG3wBAAAAtOSuuDffTKwI482KR4wIu+kSCh4bN4blseXLpZtuCh8gyptrXX65dOKJ6hKuqE2ZErb1JcKlumefDV9He/fx1MJYY+HR41DJAgAAQKdbBd0C2N7odi/xd/fc7NkJdsX5gT26ffVqaenS5gHLfN23O4B1BYclD71IlGfTe7lNy/Nui8uAmbLuDJ1GyIrBGxGXlJRowYIF3X0qAAAAGcvB6YUXwkJMe8um3DnnIOYuuoR4PZYnZNxyS/zjbr45/a2DfnyPTUxms+Dc3HCnZY9yb+vxqqrC1Ll1a3hbJqw7Q0rQLhgDmxEDAAC0b9Mm6dVXEyvwuDC1cGGCmxU7vbkH0QGkvUqQR6WvWiXNnau0iQ7fSCZkmWfU+34evehgFQ2DXmfmFkJfPCBj2rTENhhDj0DIAgAAQIe4w+2558I1We0VYTwzwltdzZqV4IO77OXw5CdJRKJT/DoTsrwGLNnpf77PzJnhN8Bhyn+89zfCjxP9mAmbLCOlCFkAAADokDfeCItN3lQ4kQzk4xIu1niRl9vpvK4pEclWmJLlcznmmHDKYTJ8/Nvelq6zQoZiTRYAAACS5m2dXMXypPL2Bue5889rtjxRMOGM4j5Et9R5SoarQfF4Kl9JidLGL8AXpv8hQYQsAAAAJM0D/zZvDjcVbs/+/WE7YSLHNiY4hywv3nLQ8pj2eC67LDwunVUst/alu1qGXoOQBQAAgKSUlUnPPx8uMUok23h51ahRSWQUtwp6It/AgeF174O1ZEnripYrS7493ftkeT2VzyWhiR0Aa7IAAACQpJdeCgf+eYiFh+V5sJ/XXDlEuWuvZfByJcvD8xJuFfTodj9wXt7h2xykFi1q/8nSwS/Awys8wh1IACELAAAACXP+cchyZerJJ6Wbbmo+Yd3FJnf3RYtL0U67hFsFPapw3bq2xxU6UKVzTHssDnyMV0cSiOMAAABIOP+sXBkGJ6/JWrq09RZWvu7bly8/3Co4YkQSMyOio9szZZ/S6uqwoubeSCBBhKwYli1bppKSEi1YsKC7TwUAACAjbNwYbjw8dmxYwYrn5pvDApC3l3KrYMKddi6VOcUlux9VuvgFFBcz9AJJIWTFsHjxYq1atUorVqzo7lMBAADodrW14ch2r6tyN1/LClZLLka98EK4z65DWcI8srDpWqzu5qEX3quLDYORBEIWAAAA2rV2bRiuxo0L504kwlPYvUbL7YIJ8WZaDlmZNMWvpibJlAgQsgAAANAOd+89+2w4wMIFnUQ751yQmj5dyk1k1Jo3+12zJkxw0dHt3a2uLuxzpFUQSSJkAQAAIC4Pudi69fCEQE9Ob7llVUv++owZCRaBPFHjmWekhx8OA01CqawLsB4LHUTIAgAAQEwuLHnjYU8HjG5J5Y8e0x7P+98f3sfLmdpd7PXEE9Jjj4UT/BLuLeyikOWAlSlDONBjELIAAADQJk8HfOopad++1iPYvQ/WkiWtK1o+zre7TdBTBePOsDh4UHrkkfBJnMYyaUy6X7yHXkyY0N1ngh4oQ2qxAAAAyMQ2QV8mTQqnCrbkoLVokbRqVVjxctHHrYReXhUdkhHT/v1he+Arr4RP4AVfmWTDhjBgHXFEd58JeiBCFgAAAFrxiHYXmLwkqbAw9nFuHZw7t/X4dhelYrYKujT24IPSG29IU6dKBQXKKDt3hi/65JPDbwCQJNoFAQAA0Gqo3r//Le3dK40alfz9naGmTIkRznbtku69V3rzzbCfMNMCltdhlZWFZbq4pTggNipZAAAAaMYtgq++GrtNsL2lTB4W2OZSpi1bpAceCEtdXrQVnaQRvWPLvsOmX+8KHsLhzb0WLJBmz+7a50avQsgCAABAI+cftwl6q6p4bYKxuAjkvYRbtQq6cvXQQ+FaLFewvP9U1PLl0k03hT2KUZ6o4RGGrih1BS8kW78+DH/HH9/8/IAk8e4BAABAszZBt/t1pE3Q3GI4cWKLqecujd13n1RdHfYRtgxYS5c2D1jm677dX+8K3gjM6fCkk6Sioq55TvRahKwYli1bppKSEi1wuRgAAKAPcLee2wQnT06+TdDcJuig5jbDxurQypXSv/4VbjDcsofQLYKuYMVz883hcenk8ltNjfTWt2bWPl3osQhZMSxevFirVq3SihUruvtUAAAA0s7zKJ5+OizmRGdRONu89FK4lZU/tpd1ysulQYMOtQr6YD+gx7QPGND2qEGnupYVrLb6F31curi6tm1buA5rxoz0PQ/6FNZkAQAA9HGuPnkdlgs60ZzRkWVSbhX0kqaBRbXS48ulZ56RRo4Mk1tbPOQiEYke15HSm9dhHXmkNH9+x8p3QBuoZAEAAPRx3g+46TTBjiyTcmegO+6mjK0Oq1euYo0dGztgmacIJiLR45K1cWNYYXObYF5eep4DfRIhCwAAoA+Ltgl682C3CXZ0mVRFhVScX63Rrz0sPf98OP3CbYLxeEy7y2PxDB8eHpeOF+51Yh50ES8IAh1AyAIAAOijvC2Upwk6ILmrrzPLpPZtrdLorc9p8IYXpalTpX792j8B74Pl/sN4LrsstftlueTmCtaBA2HfY+OUDiB1CFkAAAB91HPPSa+9FhadOrVMqrxcB15Yo6m1rylr+rTDkzMS4aCzZEnripYrWL49lftkOVW+/npYYTvnHOnoo1P32EATDL4AAADogzzvITqXomkmSnqZ1O7dqnx6lfofqNaYo0dKeW2MIHRvoUtfTma+o9v/mlanHKQWLYp/TGdVVkqbNkkzZ0onn5y+dV4AIQsAAKDv8aj1xx8PO+e8FqutZVLxWgYbl0nt2C698KJ2bCvQzDn9NWzwgdYHJzqm0IFq7lylxY4dYU+kg5wvhYXpeR7gENoFAQAA+ti4ducebw3Vcm/gpJZJbdssPfe8DlY1KGv4UM2evL/1BPSOjClMJVfQ1q0LP555ZjjkgoCFLkDIAgAA6ENefFF6+WVp8mQpO7sjy6QiOnHUG+EEwexsbcsZp0kjDmjC8BZVrI6OKUzlJsNr14Yn/c53SnPmxH7BQIrRLggAANBHbN4cbjrs8NReQafNZVKz6pXz5uvSy69JA/qrpmiQ6nZmac6kitb5JZkxhaluE/QJ79wpzZ4d7oE1cGBqHx9oByELAACgD/DcB6/D8oC98eMTu0+zZVK+o3csXvu6NHiI1L+/dpQWaPywg5o0so21WB0aU5iCF7l1azg90MMtjjuOTYbRLQhZAAAAvVxDQ7gflofrzZjRwda7V14JRxK6DFZUpLr6LFVV52ju3Arl5UZa3yfpMYWd4PPbskXBojCnwmOPlUaM6PzjAh1EyAIAAOjl3JHntVjeDys6Fb29qerNqkM+0L2Gnveenx/cvLMsX6MHH9SUUVVtP2lSYwo7yC/CEzyqqqRp08Jw5RfZagIH0LUIWQAAAL3Y9u3Sk0+Gy5L69UtuqnpwZwessn3S6NFSbvirY0NEqjiQqxNm7VVhfkPbTxwdU+gpgnHHFHZgLyzPnvd6Lr+AsWOl006Tpk9vPD+guzFiBQAAoJc6cCBch7V/vzRqVBJT1T3n3euvVqwIH2TM2GYBprQsX8OKazRtTFVYTXrpJemRR8KPTacFxh9T2CLRJcDrwnbtktasCYPW6adL550nHXEEAQsZhXcjAABAL+Rs5EmCb755eB1WQlPVf9mgRTnPKWfLZmnw4HCIRBPONnsq83Ta3N3q/9xj7ZfE2hxTGKs3McZ6q717wx2UfR+fkx/Pa6/8OZCBCFkxLFu2LLjUp2vvBgAAgDTwry5vvCE9+2w46MIbDkeLPAlNVd+TrVXPHtTco0e1OZnPAWtI/1odufl+6YdttAJGS2JNK1XNxhQmwKU3Byt/9BowBzff362BLskVFCT+WEA3IGTFsHjx4uBSXl6uQYMGdffpAAAAtMvTy597Tnr99TCHzJzZvGCU8FT1gjFS3t42v+ZWwRNm7lL/G37e/kbDrjgls+bK1Sq/iP79w+mAxx8frgXz57QDogfh3QoAANDDOZusXCm9/HLYXed9sNrabDjhqerFdW3eXrY/VwOK6jSn8unUbzTsdWAOWA5WRx4ZnmyrHY6BnoGQBQAA0EPV1ITzKdwa6EwzZowUrwGn/anqEQ0fWKOSiRVtfnVnWYGOnVqmQXt3pn6j4Q0bpClTpAUL2k6IQA/CnwcAAAB6IO8L/Je/SP/8Z1gEcmtgeyscolPVHabCS1Ph9cvO2qicNn5DrDyYo4K8eh0xvjL1Gw07jLm/0VUsAhZ6AUIWAABAD+Lpfp6U/ve/h911Lv542VJCnXU1NTpx+BotOXulhvU72OxLrmAtOX+tTjyi7bVYO/YWaNroKo0eUn24JBZPohsNeyz7zp3ScceFfY5AL0C7IAAAQA+aHPjMM4c3F/Y8iISTmYPM62uknbt04hEDtWjeS1q1sTiYFjh0QG3QItiqgtVQr2EbVypr3x5VN4xVyfFjlZWV4o2GN26Upk2TjjkmwRcDZD5CFgAAQA9Zf+Vw5ZDlcDVkSIJ3rKoKZ7q7v9C8cCsnR44/cye3vfbKRr/6kObc9wMVVRxefxV5qskeWNGNhlvuk+UKlgNWIhsN+35uDzzhBMayo1fJikT8pw3EEh3hXlZWpoH+kxEAAEA3bCz86KPSiy+GHXUt9geO3Ya3fbu0Zo1UVha29xUVJfR8Dljz71oSfO7CVStN98Byea0jGw07Na5bJ512mjRvXkLnBfSUbEAlCwAAIMPHsz/8cDhF0Ouv2p0LcfCg6rdu16rl+7RnR62GDhqgkpL+yslNcCl+Q31QwYoZsFrugZXsRsNNpwlOn96x+wIZjpAFAACQoTyW/cEHw2VLziN5eXEOrqwMJmEsf/CAbnp4hnZXTW780rCHqnX52RtjDrVoymuwmrYIpmQPrJZ27Qo3HHabYH5+xx4DyGBMFwQAAMhAW7ZI994rbd4cJ2B51cfeveEuxI8/ruV/26Olfz9Ku6uatwXursjX0ruma/mr7S/kKqgsTf0eWE15t2Tfd+FCadSojj0GkOGoZAEAAGQQL6V6803pscfCmRUevNdqPLvXQbma5ATmdVc11aovHqybnjn20AEtG/18PaKb75+oRTP3trkPVlT1gOGp3QOrZSh0WW7WLGnOnOTvD/QQhCwAAIAMsG9fOABw9eowN3ntlddgNbN/fziKfdOmsIJlgwdLRSO0an2xdlfEm9CXpdLygmBsezBV8NB4dleuHKx2TzxGys7RppHzVNFvlAZU7Yi9JivRPbBa8rl7WIA3HY7b+wj0bIQsAACAbuKClNsCPWH99dfDIYDOIJMmNckgPsjtdd552OnLQcsJzEGnSVDxfleJ8HFtjWc/UDxSL5xxrR4b9E6tf/dnNOf2r3R+D6ymDh4MX+CZZyaxwRfQMxGyAAAAuphnVHi4nmdHOGQ1NISZafRohZv9mnsFd+wIWwIdstxqN3Cg6seM06pNA7Vne/NNhP15IqbveVrzHw3HszdVWLFTi/60RFnnRTTjw0cra3In98Bq2QPpMt1RR3WsAgb0MIQsAACALhzH7hkVbgl0bvKAPe971bgPr9PWnr1h1cqXFlUrD6646b6JzdoChxWHkwO91sqfe8hF28PXIxo+sEYffe7aOKu2Ipr/8A3K+dgvwyDlMe0d2QOrKVfivMhsxgzppJOkXH79RO/HuxwAACDN3Cnnfa6efz6cXu5uuZkzmwy0cKXHX/BaK69bqquTBg2Sxo1rLG05YHlCYEvRyYFLzl8bhK3wmEiLGOXr0mePeUgDHt0e8zx9j5w9uw6PZ+/oHliNTxsJA5aTpDcd7tev448F9CCELAAAgDRxVvJ6q+eeC9sCnZs8WK8xXEVbAt076EEWrvJ4kEVjaStU36CggtXe5MCbPvVCELZaVrtcwbrsrI06u25Fesezt+QWwWHDpNNPD1880EcQsgAAAFLMBRwXpRyuXMhxx59HsQedcv6iRwlu3Raut/ICLVd4vGdUjFY6TwRMdHKgNxxeNL1Um5/ZqbJ99Ro0OEfj549UTm6OqtencTx7S253LCoKA9bIkZ1/PKAHIWQBAACkkLv9Vq4M2wO9xGrixEOFKa9N2rFL2rylcW+rYJTg2LFtbITVXKcnBz41Ui+ffY22zzw5mCLoIRcpH8/elFsfXcbzJMEJEzr3WEAPRMgCAABIAQ/h81KmV14J51U4Ow0Y4N19q6VNO8OWwOikvkN7WyUqFZMD59+1RM+cvzQIW/685aqtTo1nb8pj2j3hw2uwvPAM6IMIWQAAAJ1QWhqGK08MdLZw15/nVQRtgGu3Sxs3hsEjP7/V3laJ8pj2zk8OlGbf/0M98Kk/BWHriL//UMVVOzo/nr0pp0tX6d761nBcO9BHEbIAAAA6GK5ctXJbYEVFuOxo7JhIOMDi5a3hpAuHDs9pHzOm3ZbA6IALr6ty21/TPbB8ScXkwH7lOzRs40q9MvYsrbzwTL1/6L80qHpnx8ezNxVU7DZJ8+dLCxY02fAL6HsIWQAAAEkuN3LlyuEqWrkaO7gqTF1rtoUfvd5q0OBmI9jbE28PLA+z8OW7J9yjH/97obZEXCoLjc/aqk8f/7TeNvTlhJ4nr6JUu3Lzdcqc3Ro080hJvnSSR9CvWyfNmRNWwjoT1oBeoM+ErKqqKh155JG64IIL9N///d/dfToAAKCHhiu3BboTcOTgao0duFtavyOcdlG1X8rNC4dZJLHeKtE9sM7T3fqPJ5foGmXrcZ2kbRqjMdqmt0YeU86TDXrt5MsTeq6tDWM1bthBzZlUqZRwwPKcem82fPLJrcbPA31RnwlZ3/rWt3T88cd392kAAIAexNPWPYncwer116X95XUaVbBP42q3Sy9tD9OWK1XFxdKY9qcEtiXRPbC+0nBjcEuuGnSqHml+npImPv/nuJMDfcyB4lF6c9h8vWPabvUrqFen1dSEM+q9+ZdHtbs1EkDfCFmvv/66Xn31Vb3rXe/Syy8nVkoHAAB9l6ete3mR11y9+Xq9avdUaFROqcaXbQp7BJ2+PDpw9OiEg1Ws9VaJ7oH1jGbpVG2Pvd6qYqdePflyzXr0phirtqQHFi7RjPEHNX3MfqUkYLmCdeSRBCygheT/3JJijz76aBB+xo4dq6ysLN1zzz2tjlm2bJkmT56swsJCLVq0SE8//XRSz/G5z31O3/nOd1J41gAAoDdy55srVn+5p1733Fqm1x/YqBFvPKkZ2x/TwA0vhsFixIhwPrvbAhMMWG4HvOwnR+sr/3ukbrhnevDR1317ontguT2wPfuHTggmBx4sbr7574GBo/Tof3xfm2acruOmlXV+yZSHXDhgeVjG295GwAIyrZK1f/9+HX300br00kt13nnntfr6HXfcoWuuuUY///nPg4B144036uyzz9Zrr72mkYd2Dz/mmGNU5w3vWrj//vu1YsUKzZw5M7gsX768S14TAADoWQ4ckNa90aCXnijTllcrlbt3p8Zl7VBhVrVUVBRO3+vA6PVE1lt96OQtCT2O11+1p3rAcO2ePC/YdNhTBAsqS4Pbdk04Rmu2DdSiSfs0dlh1h17H4SepDlsEPeTCe2H5+wOgmaxIxPXuzOBK1p/+9Cede+65jbc5WC1YsEA//elPg+sNDQ2aMGGCPv3pT2vJktab7bX0pS99Sf/7v/+rnJwcVVZWqra2Vtdee62+9rWvtXl8dXV1cIkqLy8Pnq+srEwD/RcrAADQKzQ0SDu2R7T+hX16bUW5Sl/fq/41ezWqsEx5/QvCdVbe26oT3CLoilW8/a2GFdeosHK3tkZGK9JGk1GWGjQua5tW95+v/pXbY6+3Gjgq2ANL2a3LVNv3Figvp0HnnbhdA/u1/sN0wg4eDKcIeg+sU04hYKHPKS8v16BBg9rNBt3eLhhPTU2Nnn32WZ1xxhmNt2VnZwfXn3zyyYQew22CmzZt0vr164OpgpdffnnMgBU93t+46MUBCwAA9B7eumr1v8v0559s0B+/9oKe+OUqNby0StP7bdP4SbnKmzhWGjas0wHLDq+3ijXGPSv4+iciPzt0raHFV8PrP4p8WpuPe1fwecu/jkevv3LWZ9sMWLV1WSqrytW86WWdC1gu961fLx19tHTqqQQsII6MDlmlpaWqr6/XKG9A0YSvb/du4mngypeTafTigAYAAHp+1WrLa5V67H836I4vv6C///cqbXn4dY1o2KFZ0+o04ohhyhk5rFPjx121eml9sR55eWjw0dcTXW81Q2t1l87XODVvHRyvzcHt5+lPcddb+fbtR5zW5mNv2V2oKSOrNGtcJ0a2V1VJGzYcDliFhR1/LKAP6PY1WV3p4osvbveYgoKC4AIAAHq+sq37ten5Ur36733a+vp+1e6v1rCBdZo2IU85/YsT3ii4oxsJn3XsroTXW3ks+3v0Zz3WZA+sk/SYcg5Vs2Ktt9o98Zg2K1hWeTBHEWUFVaz8vA6uENm3T/Ift489NtwHKwUVPqC3y+iQNXz48GAt1Y4dO5rd7uujPTIVAACgherdldqycpfeWLFb6145oLK99epfWK8xo3NUOK2oQ3tZdXSwxe8fHaeh2qO9Ghx3vdX8/q8pUqkgULW1B5arVUGYsuycIGy1x5W0LaWFOmZqmSaNPJD8C/NQsY0bpdxc6cQTpQULCFhAbwhZ+fn5mjdvnh544IHGYRgefOHrn/rUp7r79AAAQIZoKK/Ujhd3aMOzu7TmhYMqLY0oOydLw0Zka/SEQmV5Q6o0SGQj4SzVNwaqpkGr5XqrePtbxVpvFUttfZbe3N5P44Yd1HHTypMv2O3d679qS1OmeAqZxBp1oGeFLE/8W7t2beP1devWaeXKlRo6dKgmTpwYjG+/6KKLNH/+fC1cuDAY4e6x75dccklaz8t7c/niNWEAACADlZdr76s7gqrVa89Xaes2qbohX4OH52tKSY5y81LTChhPIhsJ79YIXaev6iZ9Qps1odl6qxt1dbDe6tmh1wfrqubc9wMVVexsPMYVLAesWOut2lJdm603txdp+tgqnTZ3t4YMqE1uozBXr7x0wq2BXoPF+iug54WsZ555Rqd5j4VDHKrMweo3v/mNPvCBD2jXrl3BREAPu/CeWPfee2+rYRiptnjx4uASHdMIAAC6mXed2btX+17boa3P79Cbqw5q8/YcVdQUqt/gARo5PVv90jTwzhUrByoPshg6oFYlEyvk4lgygy3Wa3JK11vFWoO1ubRQR02u0Emz9wRtkgnbvVvatUuaNi2sXo0bl/h9AWTuPlk9eRY+AABI01jA3btVtmaHtj63XW+srtaWHXmqqC9SwcACDR2WreL+DamaX5HUUIvLz96o4oIafeV3s9t9jAd1qk5rsdYqkf2tkrG3Mle7ygo0b/o+nXjE3sQHXdTUhNUrj2SfNy/cA4shYECnskG3V7IAAACaqa5WZMdO7X29NFhn9eaaOm3emaeKhv7KHzhYwyZlaUy/+kPBqvm+UqkWb6iFb//GSfdpvAZqi8bFHGzhtkBXrVK13qotO/flB1Wst5bs1vzpZcpJ9OHKy6WtW6UZM8Lq1ZgxnToPACFCFgAA6F5uqtm3Twc37dKuV3Zqx+o9WrcxW6Xl+arKGqi84kINnSSN6VenrKz0hqpkh1r89JkT9FN9XO/XH2IOtvC6qw0L36+xqx/s9Hqrtr51m3cXBmfztqN3a/bEisSrenv2hC2CJ5wgLVzI5EAghQhZMTD4AgCANDp4UA07S7V37W7tfGmHNr9xUJu256uspkj1BaPVf1CuBk+NaFyhK1Z1aT2VWOutEhlqsePAIA1XabBh8FX6UczBFstn/j+tOuMznVpv1VJDRFq3o0jFhfU67ajdmjq6KvE7e3Lg/v3hcIvjjkv5WHugr2NNVjtYkwUAQIpaAEt3q3z9HpW+tls715Zr45Zs7alwtaqfcvoVavCQLA0cUK+8nK771STeeqva2ohu+PPMdh/jN4VX6MKDv1CDslsNtshWQ8rWXDVVd2hE+6jBB3X6Ubs1dlh14nfevDksgZ1yilRSkrINmYG+oJw1WQAAoNvU1AShqmLDHpWu2aPStfu0YbNDVZ721xdKBaOCatWQkRGNK3C1qus7Rw6vt2oe6nyOvv3jR61I6HGyZk6XXlQQqJpuJJzKNVdNVddmad2O/po6an9QwRpanOCIdgerDRvCARennipNb73WDEBqELIAAEDnJwBWVKhu116VbSrXvjf3aM+GCm3cnKXd5fmqrCtUpDAMVQMnRzS6sF7ZQfEkvW2A8VoBffstfxt1KAo1b5Xzuiqvp/rb6qkar03tDrU4YspBPTMzNXtctaeqOlsbdhYFr+PUObs1oCjBcOrlD+vWSUOHSqefzubCQJoRsgAAQHIOHFBk7z5VbC7TvvX7tPeNPdq5vUHbduWo8mCeDkQKFckfpf4DczVwkjSysC4INl0RqpIZvb7zQOxWH4eq7bXDg02E/0vXxR1qUVd8Zkr2uGpPeVWutu0t0LxpZXpLyV4V5ic4BKSuTnrjjXDfq7e9TRo5MmXnBKBthCwAABC7+lFRodrd5arYvl/lm8tVvqlMe3fUaOuObJXvz9X+unxF8ocqryhXA4Zma1i/BhXlR/et6tpQlUwr4PuPeDGhx5mcv0131pyvq9sYavFDXa23D1yuByZ+PrwxOycIW+lQWp6nffvzdMKsPVo0q0y5ia5bq66W3nwzbA10BWvw4LScH4DmCFkxMF0QANBnuNKxf7/qyvarqrRK5durVLFxr/ZtrQqG0O0ry1JVTa4O1uUqkl+snIIc9R+Yo+KR0qiC+kNVKldVum68ejyJtAL+a+3khB4rZ+pEnffqr/Qe/VmPNxlq8VY9phw16Jmzlqa0WtWWrXsKVFuXHbQHHj2lPLFBgF5/5RHtu3ZJs2eHa7D690/reQI4jOmC7WC6IACg1wSpqirVlVepatd+VZYe1P5d+7V/x36V7TigPfuyVVaepeqaLB2ozVN9dp6y8nNV2C9H/YqzVVQYCdrTwrVUmaG+rl6bn9mpsn31GjQ4R+Pnj1RObo5eWtdfX/nd7HbvP0I7Varhcddb/e7Df1dhTVmr9VZVaVhv1ZJ/Q1u/s0iFeQ06Zc5uzRq/P7E7VlZKW7ZIgwZJRx8tHXWUVFiYtvME+pJypgsCANCHBk94RHrVAVXvO6AD+6oPX3ZXBZeyPXUqr8gKLu4gO1ibqzrlSLn5ysnvp4KiLBUOzdHAQmlkfkOTdjR/zLyujtUPbNGP/71QWyInNN427oEt+szxT6s2e4Ck9kPWB3Pv0k/rroi53uq7Rf+lfZMvDypV6V5v1VY1ziPahxXXBhMEJ4440P6d/IP1ePacHOmYY6Rjj5WGDUvbOQKIjZAFAECmcQnDlaeaGjVU16p2f41q9tequqImvFTWqrq8OghUB8uqVbmvTpVVWarYn62agw2qqc1WdV2O6iNZYRDI7a+8gizlF2SrYHC2BhZlaUR+Qxv7UWVemIoVsJY8+Z4Wq62krZExwe2fGXtXQo+zaHqpTnk19nqrie9cpO3RIJXG9VZtTRDcuKtIE4YfCPbAGjm4Jv4dvLRh27ZgIImmTg03F/b0QPa/AroNIQsAgFSGI1eV6usVqatXfU14qTtQG348WKe66iYfg683qPZAnWorD6qmokYHKmp1sLJeBw6GvzO7fa++NhJsjOsNaGvrc1Tf4PCULS+GysouUm5elvIKspVfkKW8QTkaUBBRfm4kxnCEzFg31dFWQN/uClb4ytpeb3XX1hMTGr0+8biRKpyzSKvvXahnKmc1rreaV7xGr559VVpbAWO9fTw9cP/BHB01uULHz9qrQf3r2l93tXOnNHZsuO5qxgwpl1/vgO7G/wp7mMrtlcF/mAGg0xJYktvmIe3dLxJpfUjLG5pcb/z00CfBh6Zfb2h+3+jXmx4XPabxY/SYhvC44PZD94ke01B/6OtNLsFtPqa+ofF646W2Prj4a3W1DUE4qq+LqPZgvWqqG1Rb3RCGobqsoAjl4kJwvzBzBcfW1zUEAakhkh3cHtGhSoM/ZGUrKydb2bkFQbdXbp4v2copylJucZYK87OU5zCV23Bo0EQsPf+/EfFaAfv1z252e0sOVVs0Xl/N/Za+WfelpFoBZwatgCfr4TS3AsaqXm3aVaThA2t08rw9mjWuMvaAC7cF7t0bXoYMCcPVnDlSv35des4AYiNk9SD7d+7Xn69/QeV7um8kLgC0JZkRSuGxLUNX2w/WZlZzCGrjvtG7NT2XZnktuF+M9infHD0vt1gFdzp0Y9OWq+DzLOeh8BfgrKywoORwlJ2t7Jzo17KC39Gz87KUmyMV5GQpOzdLOdFLdiQYIJFcN9ehF98bNNTHXN/UXivgxaP+kdBTDJ00UHe+kXmtgPGqV3MnV2jhzH0aMqC29YE1NWHVqrw8XHM1YkQ40MKj2Vl3BWQcQlYPGuHu9pLyvXUqGpCtov5d+xc2AH1YVsfvlJXVRihokiyy4n0tVh6K/nU/K+vw/ZsUhILbm1QAoo8TxKOMWKLSS4JSB41+9SEdee+NQXvehkPteacNuF6r3361tkw/ud1WwP/bsTCh58mdMlETj82cVsB4a69GxKpe1daGwaqsLAxWw4dLc+dK48dLo0ZJeXndePYA4mGEew8a4V62sUy3fXGlhozIVf9B/MMKAOh5AWvjXU+1UV3apBt1lfYfdaIuevFz7T7OcO3Sbg2Lud5qXNY2/eSLG4M1XPGqZt0lWr2qqs5RyYRKLZq5V4MHNOlS8WI8Twl04ho6NFxn5WA1ejTBCuhmjHAHAAAZM7DCYWftX1/VR3RXq1qeB1RcoLv0qVd+ltBzvGvUCv1mx9tjrrf69PFPKyd3XLe3AralbH9uELBGDqrRybNbVK/cPeP9rdwaeOSR4SbCDlb5+d181gCSRcgCAACJaacqFG9gxQlTdujKg9fHbQW8vf78hE7juLm1OmLqnw8917jDz5W1LQhYR77t8G2Zwq2BW3YXBhs6e93V0ZPLD1evXNravVsqLQ0rVvPnS9OmHVr4B6AnImQBAIBOraXy+qZ2967acFezFsGWHLR2aVRCrYDR6thPT9mozc8806JqllkBq6YuKwhXzlFHjq/UMVPLNWZo9eED9u8PWwMHDZJOPz2sXhUWducpA0gBQhYAAIjd5tdkLdV5err5WqrKTbrxrqs07ryIPvnvj8WtUv1269sSOo93jlupW7e8LaFWQJ/fpOPHKBPVN3jdVaGqDuZoyqgqHTu1TJNGHjhcnPJQC4crO/rocANhpgQCvQYhCwCA3q4TbX5Hnja63bVU/99fljZr22vJYWmPEgsQM08dq6Vv9qxWwKZcsdpVlq89lXkaM+SgTp2zW9PH7Fde7qHvnjdI8+bBnhg4eXLYGjhpUqaMvgSQIoQsAAB6cYDqbJvfD/b9Uje0s5ZqWd0nEjrVQTkVKq/vH7MVcGRRpUom7VfOlHE9ohWw7aEWhRo6oEanH7VbJRMqVFQQVuAC+/ZJ27eHFauzzpKOOIKhFkAvRcjqQftkAQD6lngtfIkEqFS0+X1r9ftUqhHtVKmGJ/R6zp+9Wr96cUGbrYDeKPqSd+5QzqGbM7kVMNZQi6JgqMXe5kMtmo5kLyqSFi2SjjlG6uZtYZBe/v2x1i2h6HHy8vKU433pOol9strBPlkAgHQEpPaOOdzC17Rl7lAL39vGtbvn1MT3LdDav63RRw7+qlWIiq5v+v9yl+obdV9Oyesdoj3ap8Ht7l311Nrhuum+idpdUdD49eEDq3XZWRt14hF71ZPU1odDLeobsjRzbKWObTnUoq4uHMnuj97rat68cCQ7ei3/Wr19+3btc9USPdbgwYM1evRoZbXRxptoNiBk9ZCQVV9Tr/u/+bQeu32zho/K0dS3jknqP9Y99ZhMOheO4WfVW47JpHPprce0F5DaO8YOt/C1DkdLj/+TJqz8a9wA9b95l+iLtd/UZvnx2w4+DkaJVqHa84kjH9VNq98afN7WwIqlJ/y58bV7KMSqjcXBuqWhA2pVMrGisYLVEzREpB17C1RxIFcTRx7QcVPLguEWjUMt/KvVjh1he6DXW3moxdSpjGTvA7Zt2xYErJEjR6pfv35t/pKOzOVYVFVVpZ07dwZBa8yY1tV0QlYvCll3f+HfuuoHE7W5fmyH/mPdU4/JpHPhGH5WveWYTDqX3npM8zVObYcNi3WMbxuqvdqjITHD0VhtVZYicQOUR6F7JHoqDMmr0L7a+Gupfv7ZV7Xmodbfm/FZW3rEwIpE7anI0459+Ro1uEbHTSsLNhPOz2sy1MLByoMtvO7K4cqbChccrtqhd7cIrlmzJghYw5gU2aPt3r07CFozZ85s1TpIyOolIcsB6/zvL+zwf6x76jEfH/N3/WrbOzLiXDiGn1VvOYafVfqP+faiP+mnTx+vLZExcQLStmCS3JaI28baqmz4sbqu4pFIm9+Hz63U9/40Mwh2ba2lWnL+2sZWv0QqgT1ReVWutu/N14Cieh01uVxzJ1UEnzeuudq1K/w4eLA0c2Y4lt17X6HPOHjwoNatW6fJkyeryOvv0GMdOHBA69ev15QpU1TYYt86QlYvCFluEZzcb4c214/u8H+se+Ix/gUjRw2qD76W+efbl4/hZ9VzjuFn1TXHDNPuuEMiMlGibX7LXx3Sa9ZSJaPyYI627SlUYX69jhhXqbmTKzRiUI3LFtKePeHFlapx46RZs6QJExhq0cdDVlu/mKP3/CwJWb0gZD1840qd9tljuvQ5AQC9x+D8/SqrKUpZm19PX0uV7MTArXsKlZcT0cxxlTpqcoVGD6mWKirCqpWHWbglzFUr73flgRasuerTCFm9x8EUhCxGuGewbW9UdfcpAAC6TUPcqlptYbF2HRwQN0BddM4Ofe/u6e2OTHeQSmRfKh/rSk5vdrAmW1v2FChLWcF6K4ercUV7lLV3j7Rzv9S/vzR9ejgt0FUr2sIAtIE/uWSwMdP6dfcpAACS5IET0Va7Ntc4aYvGZW2Ne8wwlcozyVoeE73+mROe1qX/sSMISm0dEw1Qby3ZG6yXGlrcfL+eYQNrm62jarov1VFvHx987A3rqJJRXZuldTuKgpHsU0cd0LnHbdTbR7+g8btfUFbpLmn4cOnMM6ULLpDe8Y6wgkXAQrq4HfXhh6Xf/z782AX7tnr0/Kc//WlNnTpVBQUFmjBhgt71rnfpgQceSOnznHrqqbr66qsTOs7TGVterrjiisZjHnnkEZ1++ukaOnRoMM1xxowZuuiii1RTUxN8/eGHHw7uM3v27FZ733p64G9+8xulC5WsDHbSlXM1/nNbtaV+dMy/VEbXCGyN9J5jomtHGpTd7efCMfysessx/Ky65hgPiVi84Cl9+elz26weRQNSdIBGrGO+cMJjwcfWUwy3NWnhCwNUy3VSDlBN10n546KZe/tMm1+yKg/kaEdZfvDdnzi4QkcP3qDJeVuUU5snjRghLZgnjR8vjRxJOyC6xt13S1ddFW5gHeX34I9+JJ13Xlqe0kMe3vKWtwTB4/vf/77mzp0bbKZ83333afHixXr11VfVHS6//HJdf/31zW5zmLJVq1bp7W9/exAMf/zjHwfDRl5//XX98Y9/bBWo3nzzTd1666265JJLuuzc+dcihmXLlqmkpEQLFizotnPIyc/Rj67ZGHwe76+Znzn+qV51jP96e8mYezPiXDiGn1VvOYafVdcc4wA0+6zxwbCIsVnbmh3jgBQdIuFLIsf89Isb9ZMz/qxvzr87+OjNfJuukXKAuvnTL+hbH12ta89dG3y86VMvtBpEEW3zO2XOnuBjXw9YXo2+uyJPr23pr70VuZo1cIfOHfVvvWfM05o2sVY5J79Fet/7wqrV/Pmst0LXBqzzz28esMybWvt2fz0NrrzyyqDi8/TTT+t973tfMLrc1Z9rrrlG//73vxuP27hxo97znvdowIABwXqk97///drhPeEO+a//+i8dc8wx+u1vfxtMWfTapQ9+8IOq8FpGSRdffHFQffrRj37UWJlywIvFgcqbAje9RNdB3X///cH1733ve5ozZ46mTZsWhK6bbrqp1XRHB7Gvf/3rqq5usll4mjH4IsNHuMfaJ6vlguS29m3p6cdk0rlwDD+r3nJMJp1Lbz4mlRsfI3Xq6rO0qyxfZVW5GlJwQEf036QZ/bdq5Ph8Zc2YHm4Y7M1H813ZArp48IWrLx6i0jJgRXljY1e01q2TWuzd1Bl79uzR8OHD9a1vfUtf+tKXYh7X0NCgefPmBQHrxhtvVF1dXVDl8nW35UVD1g033KCzzjpL1113nfbu3RsEsUsvvTR4fP8+fc455wShKFqhGjFiRKu9qKLtgg5sfq623H777UFoc9g6+eST2zzG53Xaaadpy5Ytmj9/fhAaP/e5zwVfc9XOj+3HaInpgn0kZEXHud//zaf12O2bNXxUjqa+tXW/fKr+g55Jx2TSuXAMP6veckwmnUtvPgaZNcxix74CHayRRuft1ewBGzRtVKUGThkWbhY8aRJj19H9IctB5bTT2j/uoYecQJQqrl4tWrRId999t9773vfGPO6f//xnEJD8Gr1eK9qy54qXH8PdXw5Zbjfcvn27iouLg2O+8IUv6NFHH22siLUXnqJ83PLly5Xf4o8ev/jFL/SRj3wkaAm87LLLgnVVrmgdf/zxetvb3qYLL7yw8Xf2aMhy2Lvjjjv05S9/OWgd9O/2hKxulikhy8o2lum2L67UkBG56j8or1vPBQCATObfbvbtz1Npeb5y66s1Pm+HZg/eoslTs1VQMi2sWo0dm9KKAPq2TocsD7n48IfbP+6226QPfUip8tRTTwUBpb2Q5XVPP/zhD4PX2NSQIUOC9j+HG4esO++8U6+88krj132fn/zkJ0G4STZk+Xv5la98pdnto0aNagxw5irVgw8+GLwOvwZXxRz6xowZ0yxkueLmpUDnn3++vv3tb6c9ZDH4AgAA9Bo1dW4JLFBFeYMGR/bpuOLtmj7loMbOHKDs2SdIEydKTX5BAzKGW1VTeVyCPJHPa6NSNdwiL695IcCP7VbDjnCYme4tE+IYN26cPvaxjwWXb3zjG8F6sp///OdBu2JTubm5QcuiQ9WnPvUppRurOAEAQI9XXpWrtRvztXFtjQaVbdTZ41fpA2fu0an/OUvjLz9H2eefJ82eTcBC5jrppHDNlddetcW3u03Px6WQx5+fffbZwdC3/fv3t/r6vn37go9HHnmkNm3aFFyi3C7or7tClKj8/PxW0/9SxVU1V7Daeh12wQUXBO2NLQNYOlDJAgAAPbZqVbonW+WltSpWqWaP3K+Z83I0btE45U2az9h19CxuXfWYdk8RdKBquqInGrzcYpeGFlcHLI9wX7hwYTCQ4qijjgoGW3gd1s9+9jOtXr1aZ5xxRjDa3euhooMvPJXwlFNOCYZKJGry5MlBa5+nCrqFzyEvO8b/TquqqoL1XU15Dy+HKa/NWrlyZdDi6MmCbvHzmHa3Kro9MZalS5cGoTLd+JcHAAD0GPUN0u7SiF5fXadNr5Sr+MAunX7sXl1wxXCd9dVFmrz4ncpbNI+x6+iZvA/WXXe5B6757a5w+fY07ZPlDYife+65YP3StddeG0z/O/PMM4ONiB2yom1/f/7zn4OA42l+Dl2+nwdKJONzn/tcsG7K1S9PFvRY+Fg8jt2VqaaXDx1aj+ZAWFlZGWxO7OqUw56Ha9xzzz3B57F482JfHBLTicEX7WDwBQAA3SwSUcXeOpXurFfNgXoNHdSgaTOyNGXBcI2ZO0J5Y0d4wUV3nyX6uE4PvmjK7XSPPSZt2xauwXKLIENaugyDLwAAQO/U0KCqfTXas6tOlVXZGlCcpWkzczV94UiNP2qo+k8aTqUKvZcDVQrHtKPrEbIAAEBGqDtQq7LdtSrbG1FtfZb6DczV8CmDdMLCwZpw9FANnTpYWdkxhgIAQAYhZAEAgG4RqW/Q/n21KttTr8rKBuXk52rQ0HwdeVKxxs8ZrJGzhmjoxAEUrAD0OIQsAADQNRoadLCyVuV761VRHlFdXZb6D8rRsAn9Ne/YwRo1c5BGHjFUhQP49QRAz8a/YnFGWfqSrjn+AAD0eg0Nqj4UqsoPharC/jkaNKJIxxw/QKOnFwfVqsETiqlWAehVCFkxLF68OLhEJ4gAAID4IrV1OlBeq/3lbv/zPlbZyu+Xo4HDizRnQbHGzhig4dMGaejkgcrNY20VgN6LkAUAADpcpdpfVqfKiogO1mQpkp2jfgNyNWBYfx25oJ/GzCzW8KkDNWzKQOXlE6oA9B2ELAAAEFekplYHK+tUtb9BByobdKAmRw2RrKBKNWBQkSbM668x0/pr6IT+GjxxoAaNLmLbKgB9Gv8EAgCAYMNf1dWppqpOB/bXq2p/RFUHpPqGnGDPnsL+eSoamKsx0/tp5MRCDR3fL1hLNXj8ABUWUaUCgKYIWQAA9BUNDWGQOlCvg1X1qj4Q0cGDER2szVEkkqVITo7yC/NUNKBAxVP7afqkIg0bW6DiUf00cEx/DRxVpPz87n4RAJD5CFkAAPQWdXVqqKlVbXVE1QcbVHMwohp/XpuluoYcRVywyslTfkGeCgcUqnBUgcaPKdLQ0XkaOCxf/YcXBZfikUXq1z9LWRSogG7h4daPPSZt2yaNGSOddFJQUE6r7du361vf+pb+9re/acuWLRo5cqSOOeYYXX311Xrb296Wsuc59dRTg8e98cYbO3Tc73//e330ox/VFVdcEUwCz1SELAAAMrny1NCgSF296mobVFvToLrqiGprIqqtlepqI6qtPxSgnKByspWV6xAl5RflKH9EgYYOLdDg4Q5Reeo3OF/9hhSEYWpYofoPyGJ0OpBh7r5buuoqafPmw7eNHy/96EfSeeel5znXr1+vt7zlLRo8eLC+//3va+7cuaqtrdV9990XTNt+9dVXlSl+9atf6Qtf+IJ+8Ytf6IYbblBhYaEyESELAIB0cOrxpaFBDfUNqq+LqKEuEnysr/dH/7X68G11dUEhSvUNWaqPuISUFfxfkIKyc5Sbl6O8fCmvIFt5Q/LVvzhf/QfnacCgHA0Y7MpUrgoH5qtocIGKhhSqaFC+iorS/9dvAKkNWOefH/7T0dSWLeHtd92VnqB15ZVXKisrS08//bT69+/fePvs2bN16aWXNl7fuHGjPv3pT+uBBx5Qdna23v72t+snP/mJRo0aFXz9v/7rv3TPPffo2muv1Ve/+lXt3btX55xzjm666SYVFxfr4osv1iOPPBJcfuTUKGndunWaPHlyQufpY5cvX64//vGPeuihh3T33Xfrwx/+sDIRIasH8n+Y66rZJLkjWvybBSCN/0MKDmv5m0KrgyLBWqA2H/zQp80ewsc3fsxqfZdDB0camp9DeHPWoc/Dxwiet+HQda9H8sfo/SKRoIjUmJPqfY+s4GNw3bcf+rqn7IXPeuh8/MFfcK9dllvuspSVkxWEnZzcHGXnhNWjnLws5fTPVW5+roqKctSvOFdFxbkq7J+togG5yu+Xq7zCHOX1yws+zx+Qr4IBeeGlQEzvA3phi6ArWG39sxn9J+Xqq6X3vCe1fzzZs2eP7r333qBVsGnAinJ1yxoaGvSe97xHAwYMCEJSXV1dUOX6wAc+oIcffrjx+DfeeCMIWn/961+DkPX+979fS5cuDR7fwWrNmjWaM2eOrr/++uD4ESNGJHyuv/71r/XOd74z2MPWLYOuahGy0GnZudnqX5yt0u213X0qAHoB//Kfvgdv98kVjSYtbm72AK1OsUmOCQo9WW18rcVHfyEr2893+PNokSi4PTv60eEnDEWNQSg/J/hlJjc/OwxFuVnhbbnZwWa62blZyi/IVm6+v+Zjwkt2k899fG5hrnILcsKLPy/KC77moOQLa58AeA1W0xbBtoLWpk3hcaeemrrnXbt2bfCHpSOOOCLuca5evfTSS0E1acKECcFtt956a1DtWrFihRYsWNAYxn7zm98ElSv72Mc+FtzXIcvhKD8/X/369dPo0aOTOs/o47pyZh/84AeDipnPZ8qUKco0hKwepHhssc757JGqrz30p1YA6AoJJICYhzT5QvNA1PwOQfBp8bXgQ5PE1Phpk2Ojn4fBqcUxvn4oPDU9rq2LA9WhwhOBB0C38JCLVB6XqGgHQHtWr14dhKtowLKSkpKg0uWvRUOWW/+KDwUsGzNmjHbu3Nnp8/znP/+p/fv36x3veEdwffjw4TrzzDN1yy236Bvf+IYyDSGrhxlx5PDuPgUAAACkmKcIpvK4RM2YMSOo4KdquEVeXl6z635sV6E6y62Bbm0s8mLTQ/y4L774oq677rpgjVgmyayzAQAAAPogj2n3FMFY1XTf7iKSj0uloUOH6uyzzw7GobtS1NK+ffuCj0ceeaQ2bdoUXKJWrVoVfN0VrUTl5+er3gvQkrB79279+c9/1u23366VK1c2Xp5//vlg3df999+vTEPIAgAAALqZ138eGrjXKmhFr3vLqHRMDHXAcvBZuHBhMLnv9ddfD1oAf/zjH+uEE04IjjnjjDOC0e4f+chH9NxzzwWTCC+88EKdcsopmj9/fsLPNXnyZD311FPB2PjS0tKEqly//e1vNWzYsGCIhodmRC9HH3100D7oKlemIWQBAAAAGcDj2T2mfdy45re7wpWu8e02derUIDiddtppwTAJBxivd/LAip/97GeNbX+uJg0ZMkQnn3xyELp8vzvuuCOp5/rc5z6nnJycoPrlyYIeC98er7t673vf2+bApve97336y1/+EgS2TJIVSXS1Wx9VXl4eTEIpKyvTwIEDu/t0AAAAkIEOHjzYOOmusxvkupvOUwQ95MJrsNwiyJ53mfGzTDQbMPgCAAAAyCAOVKkc046uR7sgAAAAAKQQISvOAkD3ikZn/gMAAABAIghZMSxevDgYS+kdrAEAAAAgUYQsAAAAIEWYKdfzpeJnSMgCAAAAOikvLy/4WFVV1d2ngk6K/gyjP9OOYLogAAAA0Ene+2nw4MHauXNncL1fv35t7uuEzK5gOWD5Z+ifpX+mHUXIAgAAAFJg9OjRwcdo0ELP5IAV/Vl2FCELAAAASAFXrsaMGaORI0eqtra2u08HHeAWwc5UsKIIWQAAAEAK+Zf0VPyijp6LwRcAAAAAkEKELAAAAABIIUIWAAAAAKQQa7IS3IysvLy8u08FAAAAQDeKZoL2NiwmZLWjoqIi+DhhwoTuPhUAAAAAGZIRBg0aFPPrWZH2Ylgf19DQoK1bt6q4uLhxQ7kFCxZoxYoVXfL8qX6uzjxeR+6b6H0SOa69Y2J93X9xcEjetGmTBg4cqJ6mK99vPf09l8zxvOd653uOf+N63vvN+O9q6o/nPRcb/8al/j7pfL9l2nvO0ckBa+zYscrOjr3yikpWO/zNGz9+fLPbPJKzq37AqX6uzjxeR+6b6H0SOa69Y9r7ur/W3f/D7IiufL/19PdcMsfznuud7zn+jet57zfjv6upP573XGz8G5f6+3TF+y2T3nPxKlhRDL7ogMWLF/fY5+rM43XkvoneJ5Hj2jumK38uXamrX1dPfs8lczzvud75nuPfuJ6J/66m/njec7Hxb1zq78P7rTXaBdHrucTsvziUlZVlxF8/0PvxnkNX4v2GrsZ7Dl2tvAe+56hkodcrKCjQ17/+9eAj0BV4z6Er8X5DV+M9h65W0APfc1SyAAAAACCFqGQBAAAAQAoRsgAAAAAghQhZAAAAAJBChCwAAAAASCFCFgAAAACkECELaGLfvn2aP3++jjnmGM2ZM0c33XRTd58SerFNmzbp1FNPVUlJiY466ijdeeed3X1K6APe+973asiQITr//PO7+1TQC/31r3/VrFmzNGPGDN18883dfTroA96bof+mMcIdaKK+vl7V1dXq16+f9u/fHwStZ555RsOGDevuU0MvtG3bNu3YsSMI9du3b9e8efO0Zs0a9e/fv7tPDb3Yww8/rIqKCv3P//yP7rrrru4+HfQidXV1wR+NHnrooWDjWP+btnz5cv4bij75bxqVLKCJnJycIGCZw5b/BsHfIZAuY8aMCQKWjR49WsOHD9eePXu6+7TQy7l6Wlxc3N2ngV7o6aef1uzZszVu3DgNGDBA55xzju6///7uPi30cqdm6L9phCz0KI8++qje9a53aezYscrKytI999zT6phly5Zp8uTJKiws1KJFi4J/9JNtGTz66KM1fvx4ff7znw9+8UXf1BXvt6hnn302qKROmDAhBWeOnqor33NAqt9/W7duDQJWlD/fsmVLl50/ep5He/G/eYQs9Chu4XMA8v/g2nLHHXfommuu0de//nU999xzwbFnn322du7c2XhMdL1Vy4v/42CDBw/WCy+8oHXr1um2224L2rnQN3XF+81cvbrwwgv1y1/+skteFzJXV73ngHS9/4Bk7O/N7zmvyQJ6Ir99//SnPzW7beHChZHFixc3Xq+vr4+MHTs28p3vfKdDz/HJT34ycuedd3b6XNHzpev9dvDgwchJJ50UufXWW1N6vuj50vlv3EMPPRR53/vel7JzRe/TkfffE088ETn33HMbv37VVVdFfve733XhWaOv/pv3UAb+m0YlC71GTU1N0HJ1xhlnNN6WnZ0dXH/yyScTegxXrbx40srKyoIytqckAel4v/m/KRdffLFOP/10fexjH0vj2aI3SMV7Dkjn+2/hwoV6+eWXgxbByspK/eMf/wiqDkBf/Dcvt7tPAEiV0tLSYE3LqFGjmt3u66+++mpCj7FhwwZ94hOfaBx48elPf1pz585N0xmjr7/fnnjiiaAVwuPbo33ov/3tb3nPIW3vOfMvKG6JdpuO155664ATTjghDWeMvvb+y83N1Q033KDTTjtNDQ0N+sIXvsBkQaT937xM/TeNkAU04b/CrVy5srtPA33EW9/61uAXEaAr/etf/+ruU0Av9u53vzu4AH393zTaBdFreAqgR7C3HFTh6x6PDaQS7zd0Nd5z6E68/9DVhvfw9xwhC71Gfn5+sPHhAw880HibqwS+ngllY/QuvN/Q1XjPoTvx/kNXy+/h7znaBdGjeCHt2rVrG697zLrb+4YOHaqJEycGYz4vuugizZ8/P2j9u/HGG4Me3UsuuaRbzxs9E+83dDXec+hOvP/Q1Sp783uuu8cbAsnwiE6/bVteLrroosZjfvKTn0QmTpwYyc/PD0Z//vvf/+7Wc0bPxfsNXY33HLoT7z90tYd68Xsuy/+vu4MeAAAAAPQWrMkCAAAAgBQiZAEAAABAChGyAAAAACCFCFkAAAAAkEKELAAAAABIIUIWAAAAAKQQIQsAAAAAUoiQBQAAAAApRMgCAAAAgBQiZAEA+rRTTz1VV199dXefBgCgFyFkAQAAAEAKEbIAAH3WxRdfrEceeUQ/+tGPlJWVFVzeeOMNffzjH9eUKVNUVFSkWbNmBV9vr/p17rnnBo8HAEBud58AAADdxeFpzZo1mjNnjq6//vrgtiFDhmj8+PG68847NWzYMC1fvlyf+MQnNGbMGL3//e/v7lMGAPQAhCwAQJ81aNAg5efnq1+/fho9enTj7dddd13j565oPfnkk/rDH/5AyAIAJISQBQBAC8uWLdMtt9yijRs36sCBA6qpqdExxxzT3acFAOghWJMFAEATt99+uz73uc8F67Luv/9+rVy5UpdcckkQtKKys7MViUSa3a+2trYbzhYAkImoZAEA+jS3C9bX1zdef+KJJ3TiiSfqyiuvbLzNwzCaGjFihLZt29Z43fd/+eWXddppp3XRWQMAMhmVLABAnzZ58mQ99dRTWr9+vUpLSzVjxgw988wzuu+++4KhGF/96le1YsWKZvc5/fTT9be//S24vPrqq/rkJz+pffv2ddtrAABkFkIWAKBPc2tgTk6OSkpKggrV2WefrfPOO08f+MAHtGjRIu3evbtZVcsuvfRSXXTRRbrwwgt1yimnaOrUqVSxAACNsiItm8oBAAAAAB1GJQsAAAAAUoiQBQAAAAApRMgCAAAAgBQiZAEAAABAChGyAAAAACCFCFkAAAAAkEKELAAAAABIIUIWAAAAAKQQIQsAAAAAUoiQBQAAAAApRMgCAAAAgBQiZAEAAACAUuf/BzpI/lE8D4GmAAAAAElFTkSuQmCC",
"text/plain": [
"<Figure size 1000x600 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# first plot the mean and standard deviation of hte Horizon vs tau \n",
"mean_error_1 = np.mean(Train_error1[:,:,0], axis = 0)\n",
"std_error_1 = np.std(Train_error1[:,:,0], axis = 0)\n",
"mean_error_2 = np.mean(Train_error2[:,:,0], axis = 0)\n",
"std_error_2 = np.std(Train_error2[:,:,0], axis = 0)\n",
"\n",
"plt.figure(figsize=(10, 6))\n",
"\n",
"# Plot mean curve for Horizon1\n",
"p1=plt.plot(tau_list, mean_error_1*lyap_exp1,'ro', label=TIME_CHOICE1 + ' ' + MODEL_TYPE1)\n",
"# Create shaded region for standard deviation around the mean\n",
"plt.fill_between(\n",
" tau_list,\n",
" (mean_error_1 - std_error_1)*lyap_exp1,\n",
" (mean_error_1 + std_error_1)*lyap_exp1,\n",
" color='r',\n",
" alpha=0.3\n",
")\n",
"\n",
"# Plot mean curve for Horizon2\n",
"p2=plt.plot(tau_list, mean_error_2*lyap_exp2, 'bo',label=TIME_CHOICE1 + ' ' + MODEL_TYPE2)\n",
"# Create shaded region for standard deviation around the mean\n",
"plt.fill_between(\n",
" tau_list,\n",
" (mean_error_2 - std_error_2)*lyap_exp2,\n",
" (mean_error_2 + std_error_2)*lyap_exp2,\n",
" color='b',\n",
" alpha=0.3\n",
")\n",
"plt.legend(loc = 'lower right') \n",
"plt.title(SYSTEM_NAME1 + ' mean and std. dev.')\n",
"plt.xscale('log')\n",
"plt.xlabel('tau')\n",
"plt.ylabel('Training Error (MSE)')\n",
"plt.yscale('log') \n"
]
},
{
"cell_type": "code",
"execution_count": 205,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 1000x600 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"median_error_1 = np.median(Train_error1[:,:,0], axis = 0)\n",
"median_error_2 = np.median(Train_error2[:,:,0], axis = 0)\n",
"qrt1_error_1 = np.quantile(Train_error1[:,:,0], qt1, axis = 0)\n",
"qrt1_error_2 = np.quantile(Train_error2[:,:,0], qt1, axis = 0)\n",
"qrt3_error_1 = np.quantile(Train_error1[:,:,0], qt2, axis = 0)\n",
"qrt3_error_2 = np.quantile(Train_error2[:,:,0], qt2, axis = 0)\n",
"\n",
"plt.figure(figsize=(10, 6))\n",
"plt.plot(tau_list, median_error_1*lyap_exp1,'ro', label=TIME_CHOICE1 + ' ' + MODEL_TYPE1)\n",
"plt.plot(tau_list, median_error_2*lyap_exp2, 'bo',label=TIME_CHOICE1 + ' ' + MODEL_TYPE2)\n",
"plt.fill_between(\n",
" tau_list,\n",
" qrt1_error_1*lyap_exp1,\n",
" qrt3_error_1*lyap_exp1,\n",
" color='r',\n",
" alpha=0.3\n",
")\n",
"plt.fill_between(\n",
" tau_list,\n",
" qrt1_error_2*lyap_exp2,\n",
" qrt3_error_2*lyap_exp2,\n",
" color='b',\n",
" alpha=0.3\n",
")\n",
"plt.legend(loc = 'lower right')\n",
"plt.title(SYSTEM_NAME1 + ' median and quartiles, '+ str(qt1*100) + '% and ' + str(qt2*100) + '%')\n",
"plt.xscale('log')\n",
"plt.xlabel('tau')\n",
"plt.ylabel('Training Error (MSE)')\n",
"plt.yscale('log')\n",
"plt.show()\n"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
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|