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@smutch
Created November 21, 2017 06:23
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py: Scikit-optimize issue
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{
"cells": [
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"ExecuteTime": {
"end_time": "2017-11-21T04:55:49.189803Z",
"start_time": "2017-11-21T04:55:49.138397Z"
}
},
"outputs": [],
"source": [
"import numpy as np\n",
"import pandas as pd\n",
"import matplotlib.pyplot as plt\n",
"import seaborn as sns\n",
"from types import SimpleNamespace\n",
"import h5py as h5\n",
"import skopt\n",
"import emcee\n",
"from corner import corner\n",
"\n",
"%matplotlib inline\n",
"%config InlineBackend.print_figure_kwargs={'bbox_inches': 'tight'}\n",
"sns.set('notebook', 'ticks', font_scale=1.3, rc={'lines.linewidth':3, 'figure.figsize': (8, 6)})\n",
"pd.set_option('mode.use_inf_as_null', True)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Setup "
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"ExecuteTime": {
"end_time": "2017-11-21T04:46:14.601661Z",
"start_time": "2017-11-21T04:46:14.593745Z"
}
},
"outputs": [],
"source": [
"truth = SimpleNamespace(m=3, c=0.2)\n",
"\n",
"x = np.linspace(0, 10, 30)\n",
"X = x.reshape(1, -1)\n",
"truth.y = truth.m * x + truth.c\n",
"y = truth.m * x + truth.c + np.random.normal(scale=3.0, size=x.size)"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"ExecuteTime": {
"end_time": "2017-11-21T04:46:15.286431Z",
"start_time": "2017-11-21T04:46:15.097774Z"
}
},
"outputs": [
{
"data": {
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JCQnYtGkTYmNjMXPmTNy6dQuvvfYaVqxYgaVLlz7wdVauXImUlBSLCicisiepX+qxvW6V\nV2HNjiwc+6VpLO4NVVIMYkIDRKqM2uIkCIJgygOvX78OlUqFoKAgfPbZZ0YT0urt27cPn376Kfbt\n29fuQvLz85GYmIhDhw6hR48e7X4+EZE9yP08bp3egB0/XMZ3+5vH4rOeDsPkkYzF7cXcvmfSpy4r\nKwvJycmYPHky3nzzTTg7O6O8vBxpaWlYtGgRvL29AQDV1dVwd5f3sR4iogeR88Uxzl4sQWq6unks\nPvARzJvMWFwu2vz0lZSUIDk5GXPnzsWCBQsaxjt16oQDBw5AEAS88cYbKCgoQFpaGp599lmbFkxE\nRO1zq7wKX+/IxtFf8o3Gg7p6Y+G0GAzoy1hcTtps3Js2bcLt27eRmpqK1NTUhvEXXngBaWlp+OCD\nDxAXFwelUomZM2fixRdftGnBRERkGp3egJ3/uox/7DuHqmpdw7hS4YLnRvfHpCf6wM2VsbjctNm4\nVSrVAxdUWbt2rTXrISIiKzh7qQRp6Wpcu2Eciz8xsG62uL8vY3G5kueBGiIiatHtCi2+3pGF708b\nx+I9unhDNS0GA/oxFpc7Nm4iog5Arzdg5/E8fLs3l7F4B8fGTUQkc5r7sfjVJrH4iAHd8fLkKMbi\nHQwbNxGRTJVWaLFmZxa+/9k4Fn8kwBuqpGgM7NdFpMrIlti4icghyXkhFb3egF3H8/DtvlxUan+P\nxd0VLpj1dH9MGclYvCOT16eViMhCer0Ba3ZkIUNTiOKyKgQ0WrrURQYrhmVdvoW0dDWuFFYYjT8+\noDtenhSFAD/G4h0dGzcROZQ1O7KMLhZSVFrVcHv+1GixympTaYUWX+/MwpFmsbgXFk6LwaD+jMUd\nBRs3ETkMbY0OGZrCFu/L0BRizvhwycXmer0Bu07UzRZvGovPfKofpsb3gZuri4gVkr1J6xNKRGRD\npRXVKC5rfk1tACgpq0JpRbWk1iFvNRaP6Y55kyPRxc9TpMpITNL5hBIR2ZifjzsCfD1QVNq8efv7\nesDPRxoXSSq9o8Xandk4nHndaPyRAC8smBaDwYzFHRobNxE5DKXCFXFRgUbHuOvFRQWKHpPr9Qbs\nPnEF3+zNMYrFFW7OmPV0f8biBICNm4gczLxJkQDqjmmXlFXBv9GscjFl591C6ubmsTgAdPJ0Q9md\najg7OYlQGUkNGzcRORQXF2fMnxqNOePDJXEed2uxeGO3yqtlMfOd7IONm4gcklLhKupENL3egD0/\nXsE3e3Jwr0ks7ubibDRWT6oz38m++NsnIrKznLzbSEtX43JBudH48OhATH6iN95KPd7i86Q4853s\nj799IiI7KbtTjbW7snDoJ+NYPNDfCwumRmNoeFdoa3QWz3yX83Ku1Db+RomIbExvELD3RB7W783F\nvarahnGFmwuefaovpsWHQuFWN1vckpnvcl/OlUzDxk1EZEO5V24jNV2Ny78Zx+JxUd2QPCUaXR9q\nvoiKuTPf5bqcK7UPGzcRkQ2U363G33dl48Cpa0bjgQ97YcG0uli8NebMfJfjcq5kHv4WiYisSG8Q\nsPfHK1i/J8c4Fnd1xjNP9UPSqN9j8ba0Z+a73JZzJfPxt0hEZCW5V+tmi1/KN47FYyO7Yf7UlmNx\na5HLcq5kOTZuIiILWRKLW4vUl3Ml6+FvkojITHqDgH0ZV7B+dw7uWhiLW4NUl3Ml62LjJiIyw7mr\ndbPFW4rFk6dEodvDXnavSWrLuZJt8DdKRNQO5XersW53DvafvGo03u1hT8yfGo1hEd1Equx3Yi/n\nSrbF3ywRkQn0BgH7T17Ful3ZzWLxGYn9MP1J+8bi5LjYuImI2nD+WilS09W4eL3MaHxYRDfMnypO\nLE6Oi42biKgV5XersX5PXSwuCL+Pd33IEwumRmNYpPixODkeNm4ioib0BgEHTl7Fut3ZuFP5eyzu\n5uqMGQl9MT2hL9wZi5NI2LiJiBppLRYfGt4VC6ZGI9C//bE4r9ZF1mTSJygzMxMfffQRLl++DD8/\nPyQnJ2PWrFkoLy/HW2+9hYyMDHTq1AmLFi3CM888Y+uaiYisruJeDdbtzm4Wi3d5yBMLzYzFebUu\nsoU2G3d5eTleffVVvP3225g4cSJycnIwd+5c9OzZExs2bICnpydOnDiBc+fOYf78+YiOjkZYWJg9\naicispihfrZ4C7H49Cf7Ykai+bE4r9ZFttBm4y4oKEB8fDwmT54MAIiMjERsbCxOnz6NgwcPYt++\nfXB3d0dMTAwmTpyIjRs34p133rF54UREljp/rRRp6WpcsGIsXo9X6yJbafNTEx4ejo8//rjhdnl5\nOTIzM9G/f3+4uroiKCio4b6QkBDs37/fNpUSEVlJxb0arN+Tg30ZV4xjcT+PhtniTk5OFv0MXq2L\nbKVdn5o7d+5ApVI17HWvW7fO6H6lUgmtVtvm66xcuRIpKSntq5SIyEIGg4ADp67h77uycaeypmHc\n1cUZ0xNCMSOhr9X2gnm1LrIVkz+h169fh0qlQlBQED777DNcunSpWZPWarXw9Gz7snWLFy/G4sWL\njcby8/ORmJhoajlERO1y8XoZUtPP4Pw141h8SFgXLJgWje7+3lb9ebxaF9mKSZ+crKwsJCcnY/Lk\nyXjzzTfh7OyM4OBg6HQ6FBQUoHv37gCAvLw8hIaG2rRgIqL2uFNZg/W7c7C3hVg8eUo04qIsj8Vb\nw6t1kS202bhLSkqQnJyMuXPnYsGCBQ3j3t7eSExMxCeffIIPPvgAFy5cwM6dO/HFF1/YtGAiIlMY\nDAIO/nQNa3e2EIs/GYoZidaLxVvDq3WRLbT5Cdq0aRNu376N1NRUpKamNoy/8MILeP/99/Huu+8i\nPj4enp6eWLZsGQYMGGDTgomI2nLxehnS0tU4d63UaHxwWBcsnBqN7gHWjcXbwqt1kTW1+UlSqVRQ\nqVSt3v/5559btSAiR8HVtKzvTmXdbPG9PxrH4gF+Hphv41icyF64tSCyMzmtpiWXLxf1sfjfd2Wj\n4p5xLJ70ZCiesUMsTmQv/CQT2ZkcVtOS05eLi/n3Y/GrTWLx/l2wcJr9Y3EiW2PjJrIjuaymJYcv\nF3fvx+J7fmwpFo9CXFQgY3HqkMTfQhA5EDmspiX1LxcGg4DDmdfw9U7G4uSY+OkmsiM5rKYl5S8X\nl+7H4rlNYvFB/QKwMCkGjzAWJwfAxk1kR3JYTUuKXy7uVtbgm7252HMiDwbG4uTgxN9KEDkYqa+m\nJaUvF3Wx+HWs3ZWF8ruNY3EnTBsVimcT+0Hpzs0YORZ+4onsTA6raUnhy8Xl38qRlq5GzpXbRuOM\nxcnRSWtrQeRApLyalphfLu5W1eLbPTnY3SQW9/f1QPKUKDwWzVicHJs0txpEJAnmfrkwZ+EWg0HA\nkZ+vY+3ObJTdrW4YZyxOZIx/BURkNeYu3JJXUI7Uzc1j8YH9ArBwWjR6dOlk69KJZIONm4ispr0L\nt9ytqsU/9uVi178uG8finZVInhrNWJyoBWzcRGQV7Vm4RRDqYvGvdzSPxaeM7INZT/dnLE7UCv5l\nEJFVmLpwS15B3Wzx7LwmsXjfACxMYixO1BY2biKyirYWblEonLF661nsPJ4HQ6Nc3L+zEslTovFY\nDGNxIlOwcRORVTxo4ZZHArzxfz49irI7v8fiLs5OmBrfBzOf7g8PxuJEJuNfCxFZTdOFW3w7uQNw\nwi/ni40eN6CvPxZOi0FQV8biRO3Fxk1EVlO/cEtSQijW787BkZ/zjWLxhzsr8fLkKIwY0L1ZLG7O\nud9Ejoh/HURkNYIg4PvT+fh6RxZKTYzFzT33m8hRsXETkVVcKaxAWroaWZdvGY3HhPpDldR6LN7e\nc7+JHB0bNxFZpFJbi3/sO4cd/7psFIs/5KNE8uQojBjYPBav155zv4moDv8iiMgsgiDg6Ol8rGkh\nFp88sg9mPd0Pnkq3B76Gqed+E9Hv+BdBRO12tbACqa3E4gunRaNnNx+TXqetc7/9fNytUi9RR8LG\nTUQmq9TW4rv957D9h6axuDtenhyFJwY+0q5FVB507ndcVCBjcqIW8K+CSEbMPWXK0lOtBEHA0V9+\nw9c7NLhdYRyLT3qiN54b3b/NWLw1Tc/99m80q5yImmPjJpIBc0+ZssapVldv1M0W11wyjsWj+/hj\nYVI0gk2MxVtTf+73nPHhPI+byAT86yCSAXNPmbLkVKv6WHzHD5ehbxKLz5sUhZGD2heLt0WpcOVE\nNCITcHUDIolr65QpbY3Oqs8TBAHHfsnHKx8dxtajlxqatvP9RVRS30xE/OAekrkgiLZGh8KSe63+\nf4g6Gn69JZI4c0+ZMud5V29U4IstZ6G+WGI0HtXnYaimxSA40LJY3Jq44ho5KjZuIokz95Sp9jyv\nUluLDQfOY/uxS0axuF8nd8ybFCmpPex6XHGNHFW7vpaq1WqMGDHC6HZ4eDgGDRrU8C8tLc3qRRI5\nsvpTplryoFOmTHle41h8y/cXjWLxKSP7IO1PiRg1JEhyTdvcwwBEHYFJe9yCIGDz5s348MMP4eLi\n0jCem5uLkSNHYtWqVTYrkIjMP2XqQc+7dqMCq1qIxSN7PwxVUgx6SSgWb4orrpEjM+mTnZaWhj17\n9kClUmH16tUN49nZ2QgLC7NZcURUx9xTplp6nsEgYN3uHGxrEov73o/FR0kwFm+KK66RIzOpcU+f\nPh0qlQqnTp0yGs/JyYFCoUBCQgIMBgPGjRuH119/HQqFwibFEjk6c0+ZUipc0e1hF/zr1wJ8tUOD\nW+XahvucnZ0wcUQInh8dBi8P8xZRsTeuuEaOzKRPd5cuXVoc9/PzQ2xsLGbOnIlbt27htddew4oV\nK7B06dIHvt7KlSuRkpLS/mqJyCzXb95BWrq6WSweEfIQVEkxCOneWaTKzMcV18hROQmCILT9sDon\nT57EkiVLcPLkyRbv37dvHz799FPs27ev3YXk5+cjMTERhw4dQo8ePdr9fCJqrqpah38eOGd0PjYA\n+Hq7Y+6kSDw5RPqxeFssXc6VSCzm9j2zP+Xl5eVIS0vDokWL4O3tDQCorq6GuzuPLRGJTRAE/OtM\nAb7a3iQWdwImjuiN58fIJxZvC1dcI0dj9qe9U6dOOHDgAARBwBtvvIGCggKkpaXh2WeftWZ9RNRO\n12/ewaotapy5YByLh/d6CK9Ml2csTkS/M7txOzs7Iy0tDR988AHi4uKgVCoxc+ZMvPjii9asj4hM\nVB+Lbzt2CTp901g8Ak9K8HxsImq/djXu2NhYo+PboaGhWLt2rbVrIqJ2EAQBJ9SF+HLbWZQ0icUn\n3I/FvTtILE5EXPKUSNbyi+5g1Zaz+PV8sdE4Y3GijouNm0iGtNU6/PPgeWw9erFZLP7SxLpY3NmZ\nsThRR8TGTSQjgiDgxNlCfLlNg5JGS346OwHjHw/B7LHhjMWJOjg2biKZ+K34Llalq/FLC7G4KikG\nvR9hLE7kCNi4iSROW6PD/x48jy3fG8finb0VeGlCJBKGMhYnciRs3EQSJQgCMjSFWL1Ng+LSJrH4\nYyGYPY6xOJEjYuMmkqCC4rtYteUsTp8rMhoPC/bDK9MHMBYncmBs3EQSoq3RYeOhC0g/chE6vaFh\nnLE4EdVj4yaSgAfF4uMeC8G/jQ2Dtycvl0tEbNxEFrP06lQFxXexautZnM41jsX7B/tBlRSD0B6+\n1iqViDoANm4iM+n1BqzZkYUMTSGKy6oQ0Oh60C4uzm0+X1ujw6ZDF7C5SSzu46XASxMikPhoT8bi\nRNQMGzeRmdbsyML2Hy433C4qrWq4PX9qdKvPEwQBJ7NuYPXWsyhqFIs7OQHjhvfCv40LRyfG4kTU\nCjZuIjNoa3TI0BS2eF+GphBzxoe3GJsXlNzF6q0aZObcNBrv3/N+LB7EWJyIHoyNm8gMpRXVKG60\n5GhjJWVVKK2oRqD/739e2hodNh2+gM2HjWPxTp4KvDQxAk8xFiciE7FxE5nBz8cdAb4eRlF3PX9f\nD/j5uANoFItv06DodmXDY5ycgLFxvTBnPGNxImofNm4iMygVroiLCjQ6xl0vLioQSoUrCkvu4Yut\nZ5vF4v16+kKVFIO+QX72KpeIOhA2biIzzZsUCaDumHZJWRX8788qnz02DN/uzcXmIxdQqzOOxV+c\nEIGnhzEWJyLzsXGTZFl6frStubg4Y/7UaMwZH95Qp/pCCRZ/8n2zWHxMXC/MGRcOHy/G4kRkGelt\nDcnhWXp+tL3VfamoxkfrMpt+iFBwAAAXdklEQVTF4n2DfPHKdMbiRGQ9bNwkOeaeHy2G6lr9/UVU\nmsbibvdj8WDG4kRkVWzcJCnmnh8thlNZN/DF1rO42SQWHx0bjBfGRzAWJyKbkMYWkOi+9p4fLYYb\nt+pmi/+UbRyLhwb54pWkGPTryViciGyHjZskxdTzo8VQXatH+uEL2Hi4eSz+wvgIPB0bDBfG4kRk\nY2zcJCmmnB8thlPZN/DFFsbiRCQ+Nm6SnNbOj64ft6cbt+5h9VYNTmXfMBpnLE5EYmHjJslp6fxo\ne+9p19TqsfnIRWw6dB41jWJxbw83vDAhAqMZixORSNi4yS7MWUxFqXAVZSJaZs5NrNqixo1blUbj\ndbF4ODp7i3ecnYiIjZtsSk6Lqdy8XYnVW8/iZFaTWLxHZ6iSYtA/+CGRKiMi+h0bN9mUHBZTqanV\nY8v3F/G/B1uIxceHY3RcL8biRCQZbNxkM3JYTOXn3JtYteUsCkvuGY0/PawnXpwQwViciCSnXVml\nWq3GiBEjGm6Xl5dj0aJFGDJkCEaNGoWNGzdavUCSL1MWUxHLzduV+L9fn8Ty1RlGTbv3I53x8ZIn\nsGTmIDZtIpIkk3Z3BEHA5s2b8eGHH8LFxaVh/J133oGnpydOnDiBc+fOYf78+YiOjkZYWJjNCib5\nkOJiKrU6PdK/v4j/PXgBNbX6hnGv+7H4GMbiRCRxJu1xp6WlYd26dVCpVA1j9+7dw8GDB7FkyRK4\nu7sjJiYGEydO5F43NahfTKUlYiym8nPuTSz6+Ai+2ZNr1LSfHtYTq/6UiPGPhbBpE5HkmbTlnD59\nOlQqFU6dOtUwdvXqVbi6uiIoKKhhLCQkBPv377d+lSRbUlhMpeh2Jb7crsGPZ42Pt/fu3hmvTI9B\nWC/OFici+TCpcXfp0qXZWGVlJZRKpdGYUqmEVqtt8/VWrlyJlJQUE0skORNzMZVanR5bvr+Efx48\n3ywWnzM2DGO5h01EMmT2FtTDw6NZk9ZqtfD09GzzuYsXL8bixYuNxvLz85GYmGhuOSRx9l5M5XRu\nEVZtUaOgyWzxpx6tmy3u24kTz4hInszekgYHB0On06GgoADdu3cHAOTl5SE0NNRqxRG1V1FpJb7a\nrsEJdfNYXJUUg/AQxuJEJG9mN25vb28kJibik08+wQcffIALFy5g586d+OKLL6xZH5FJanV6bD1a\nF4tX1zSKxZWu+Ldx4Rg3vJfkVmojIjKHRdnl+++/j3fffRfx8fHw9PTEsmXLMGDAAGvVRmSS0+eK\nsCq9eSyeMDQIL02MgF8nZSvPJCKSn3Y17tjYWJw8ebLhtq+vLz7//HOrF0VkitZi8ZDuPlAlxSAi\n5GGRKiMish0ueUqyU6szYOvRi4zFicghsXGTrPxyrgirtpzFb8V3jcYZixORo2DjJlkoLq3CV9s1\nOK4uMBrvFVgXi0f2ZixORI6BjZskrVZnwLZjl7DhwDmjWNxT6YrZY8Mw4bEQxuJE5FDYuEmyfj1f\nhLT0VmLxCRHw87FuLK6t0dl9dTciovbi1okkp6SsLhb/1xn7xOJ6vQFrdmQhQ1OI4rIqBDRaT517\n80QkNWzcJBm1OgO234/FtU1j8TFhmPC4bWLxNTuysP2Hyw23i0qrGm7Pnxpt9Z9HRGQJNm6ShDPn\ni5G2RY38IuNY/MkhPTB3YqTVY/F62hodMjSFLd6XoSnEnPHhjM2JSFK4RSJRtRaLB3frBFVSDKL6\n+Nv055dWVKO4rKrV2korqu16cRQiorZwi0SiqNUZsOOHS/huv3Es7uF+f7b44yFwtcPxZT8fdwT4\neqCotHnz9vf1gJ8PryJGRNLCxk12d+ZCMVZtUeP6TeNYfNT9WPwhG8XiLVEqXBEXFWh0jLteXFQg\nY3IikhxulchubpVX4avtWfjh19+Mxu0Vi7dm3qRIAHXHtEvKquDfaFY5EZHUsHGTzen0Bmw/dhkb\nDuSiqto4Fn9+TBgmjrBPLN4aFxdnzJ8ajTnjw3keNxFJHrdOZFPqi8VISz+L6zfvGI2PGtwDcyfZ\nJhY3dyEVpcKVE9GISPK4lSKbuFVehTU7snDsF+NYvOf9WDzaBrE4F1IhIkfAxk1WpdMbsOOHy/hu\nf9NY3OV+LN7bZrE4F1IhIkfAxk1W01osHj+oB+ZOisDDnT1s9rO5kAoROQpuychircXiQV074ZWk\nGESH2n62OBdSISJHwS0ZmU2nN2Dnvy7jH/vsH4s3xYVUiMhRsHGTWc5eKkFauhrXbhjH4iMHPYJ5\nkyJtGou3hAupEJGj4NaM2uV2hRZrtmfh6C/5RuNBXb2hSopBTGiASJVxIRUicgxs3GSSulg8734s\nrmsY93B3waynwzB5pP1i8dZwIRUicgTcqlGbNPdj8atNY/GBj2DeZPvH4m3hQipE1JFx60atul2h\nxdc7svD96eax+MJpMRjQV7xYnIjIUbFxUzN6vQE7j+fh273GsbhS4YLnRvfHpCf6wM2VK5EREYmB\njdtBtbaed2ux+BMD62aL+/tKKxYnInI0bNwOprX1vKeN6oO/787B9z8bx+I9unhDNS0GA/oxFici\nkgI2bgfT2nreu0/kQacXGsaVChfMero/Jo9kLE5EJCVs3A7kQet5N27ajw/ojpcnRSHAj7E4EZHU\nsHE7kAet5w0AXR/yxB+eGYCB/brYsSoiImoPizPQL7/8ElFRURg0aFDDv8zMTGvURlbm4+UGL6Vb\ni/d5ebjiL6/Hs2kTEUmcxXvcOTk5eP311/Hyyy9box6ykazLt5CWrsbdqtoW708c2hOdPBV2roqI\niNrLKo17+vTp1qiFbKD0jhZrd2bjcOZ1o3EXZycYDAIC/LieNxGRnFjUuKuqqnDlyhWsW7cOy5Yt\ng4+PD15++WXMmDHDWvWRmfR6A3afuIJv9uagUvv7IiruChfMfKofxg4Pxt1KHdfzJiKSGYu22CUl\nJRg8eDCee+45rFixAmq1GiqVCgEBAYiPj2/1eStXrkRKSoolP5oeIDvvFlI3q3GlsMJo/LGYQLw8\nOQpd/DwBAJ0823+N6tYWbiEiIvtwEgRBaPthpnv//fdRW1uL9957r13Py8/PR2JiIg4dOoQePXpY\nsySH0Vos3t3fCwunxWBwmPkTz1pbuGXepEi4iHxVMCIiOTK371m0y5SVlYXjx49jwYIFDWPV1dVQ\nKpWWvCy1k15vwJ4fr+CbPTm41ygWV7jVxeLTRvWBm6uLRT+jtYVbAGD+1GiLXpuIiExnUeP29PRE\nSkoKevbsidGjR+PkyZPYtWsXvvnmG2vVR23IybuNtHQ1LheUG40Pjw5E8uQodHnI0+Kf8aCFWzI0\nhZgzPpyxORGRnVi0tQ0JCcFnn32Gv/zlL/jTn/6Erl274r//+78RGckZyrZWdqcaa3dl4dBPxrF4\noL8XFk6LxpCwrlb7WQ9auKWkrAqlFdW8/jURkZ1YvLVNSEhAQkKCNWohE+gNAvaeyMP6vbm41+ic\nbIWbC559qi+SRoVaHIs35efjjgBfDxSVNm/e/r4e8PNp/yQ3IiIyD3eTZCT3ym2kpqtx+TfjWDwu\nqhuSp0SjqxVi8ZYoFa6Iiwo0Osb9+88OZExORGRH3OLKQPndavx9VzYOnLpmNB74sBcWTIvG0HDr\nxeKtqV+gJUNTiJKyKvj7cuEWIiIxsHFLmN4gYO+PV7B+T45xLO7qjGef6odpo0KhcLNuLN4aFxdn\nzJ8ajTnjw3keNxGRiLjllajcq3WzxS/lG8fisZHdMH+q7WLxtigVrpyIRkQkIm6BJUYKsTgREUmX\nQzRuOSzTqTcI2J9xBet25xhdwUvh6oxnnuqHJDvG4kREJF3S7GJWIpdlOs9drZst3lIsnjwlCt0e\n9hKpMiIikpoO3bilvkxn+d1qrNudg/0nrxqNd3vYE/OnRmNYRDeRKiMiIqnqsI1byst06g0C9p+8\ninW7spvF4jMS+mJ6Ql/G4kRE1KIO27jFXKbzQcfUz18rRermM7jYJBYfFtEN86cyFiciogfrsI1b\njGU6H3RM/W5VLdbvqYvFG19ItetDnlgwNRrDIhmLExFR2zps4xZjmc7WjqlfKaxAXkE57lT+Hou7\nNYrF3RmLExGRiTps4wbsu0zng46pqy+WGN0eGt4VC6ZGI9CfsTgREbVPh27c9lym80HH1Ot1ecgT\nCxmLExGRBTp0465nj2U6/Xzc4d9ZieIybYv3z0joi1mj+zMWJyIiizhE47aHazfuoFYntHhf4tAg\nvDghws4VERFRR8TGbaGKezVYvycH+zKuGM0WB4DOXgqMHPQIXp4cJU5xRETU4bBxm8lgEHDg1DX8\nfVc27lTWNIy7ujhjSnxvjBochG4Pe0p2bXQiIpIndpUHaG0hlYvXy5Cafgbnr5UZPX5IWBcsmBaN\n7v7e9i6ViIgcBBt3C1pbSOWZxL74x75z2NskFu/i54H5U6MRG9kNTk5Odq1VDlc+IyIi6+GWvgWt\nLaSy98crqNEZGsZdXZwx/clQzEjsa/emKZcrnxERkXWxcTfxoIVUGjftwWFdsHBqNLoHiBOLS/3K\nZ0REZBts3E20tZDKQz5KqJJiEBdl/1i8npSvfEZERLbFrXsTnb0V8PZwM1pXvJ6n0hUr3hiFzt7W\nv0BJe4h55TMiIhIXt+6NXMwvQ9pmdYtNGwCeerSn6E0bEOfKZ0REJA1s3ADuVtYtorLnR+PZ4s7O\nThAMAvx9lRge3d0mFycxhxhXPiMiImlw6C28wSDgcOY1fL0zGxX3Gi+i4oRpo0IxeWRvVGn1kjzV\nyp5XPiMiIumQVjeyo0v5ZUhLVyP3aqnR+KB+AViYFINH7s8W95XoWir2vPIZERFJh8Nt6e9W1uCb\nvbnYcyIPhkaxuL+vB+ZPicLw6EDRZoubwx5XPiMiIulwmC1+XSx+HWt3ZaH8bvNY/NnEflC6O8zb\nQUREMmVxp8rOzsZ//ud/4uLFiwgODsZ//dd/YeDAgdaozWryi+5gxT9/Rc6V20bjA/sFYOG0aPTo\n0kmkyoiIiNrHorUxq6uroVKpkJSUhJ9++glz5szBH/7wB9TU1LT9ZDsRBAHvfXXSqGn7d1biTy8+\nivcWDGfTJiIiWbGocWdkZMDZ2RnPP/883NzcMGPGDPj5+eHIkSPWqs9iTk5O0Ovrlip1dXHCjIS+\nSH0zEY/HdJfVsWwiIiLAwqg8Ly8Pffr0MRoLCQnBhQsXMGbMGIsKs6Y/vzoCP+fexMC+AaKtLU5E\nRGQNFjXuyspKeHh4GI0plUpotdoHPm/lypVISUmx5Ee3S9eHPDH+sRC7/TwiIiJbsahxe3h4NGvS\nWq0Wnp6eD3ze4sWLsXjxYqOx/Px8JCYmWlIOERFRh2fRMe7evXsjLy/PaCwvLw+hoaEWFUVEREQt\ns6hxDx8+HDU1NVi/fj1qa2uxadMmlJSUYMSIEdaqz6Foa3QoLLkHbY1O7FKIiEiiLIrKFQoFVq9e\njeXLl+PTTz9FcHAwUlNT24zKyZheb8CaHVnI0BSiuKwKAY3WHXdxsei7FRERdTAWL8ASFhaGDRs2\nWKMWh7VmR5bRlb6KSqsabs+fGi1WWUREJEHcnROZtkaHDE1hi/dlaAoZmxMRkRE2bpGVVlSjuKyq\nxftKyqpQWlFt54qIiEjK2LhF5ufjjgBfjxbv8/f1gJ+Pu50rIiIiKWPjFplS4Yq4qMAW74uLCuQ1\ntomIyAi7ggTMmxQJoO6YdklZFfwbzSonIiJqjI1bAlxcnDF/ajTmjA9HaUU1/HzcuadNREQtYneQ\nEKXCFYH+/JUQEVHreIybiIhIRti4iYiIZISNm4iISEbYuImIiGSEjZuIiEhG2LiJiIhkhI2biIhI\nRti4iYiIZISNm4iISEbYuImIiGSEjZuIiEhGJLMwtl6vBwDcuHFD5EqIiIhsr77f1fc/U0mmcRcX\nFwMAZs+eLXIlRERE9lNcXIzg4GCTH+8kCIJgw3pMptVqodFoEBAQABcXF6u/fmJiIg4dOmT113UU\nfP8sw/fPMnz/LMP3z3y2fO/0ej2Ki4sRFRUFpVJp8vMks8etVCoxdOhQm/6MHj162PT1Ozq+f5bh\n+2cZvn+W4ftnPlu+d+3Z067HyWlEREQywsZNREQkI2zcREREMuKyfPny5WIXYS+xsbFilyBrfP8s\nw/fPMnz/LMP3z3xSe+8kM6uciIiI2saonIiISEbYuImIiGSEjZuIiEhG2LiJiIhkhI2biIhIRjp8\n487OzsaMGTMwcOBATJkyBb/++qvYJclKZmYmnnnmGQwZMgRPPfUUNmzYIHZJslRSUoLhw4fjyJEj\nYpciKzdu3MDChQsxePBgjBw5EuvWrRO7JNk4ffo0kpKSMHjwYIwZMwY7duwQuyTZUKvVGDFiRMPt\n8vJyLFq0CEOGDMGoUaOwceNGEasDIHRgWq1WeOKJJ4Rvv/1WqKmpETZu3Cg8/vjjQnV1tdilyUJZ\nWZnw6KOPCtu2bRP0er2g0WiERx99VDh+/LjYpcnOggULhLCwMOHw4cNilyIbBoNBmDZtmvDhhx8K\nNTU1wvnz54VHH31U+Pnnn8UuTfJ0Op0QFxcn7NmzRxAEQfjpp5+EiIgI4fr16yJXJm0Gg0HYuHGj\nMGTIEGHYsGEN44sXLxaWLl0qaLVa4cyZM8KwYcOEnJwc0ers0HvcGRkZcHZ2xvPPPw83NzfMmDED\nfn5+3OsxUUFBAeLj4zF58mQ4OzsjMjISsbGxOH36tNilycp3330HDw8PBAYGil2KrJw5cwZFRUVY\nunQp3Nzc0LdvX2zYsAEhISFilyZ5FRUVuH37NvR6PQRBgJOTE9zc3Gxy5cWOJC0tDevWrYNKpWoY\nu3fvHg4ePIglS5bA3d0dMTExmDhxoqh73R26cefl5aFPnz5GYyEhIbhw4YJIFclLeHg4Pv7444bb\n5eXlyMzMRFhYmIhVycuVK1fw9ddfw4EWKLSarKws9O3bFx9//DEef/xxjBkzBmfOnIGfn5/YpUme\nn58fnn/+efzxj39EZGQkZs+ejXfeeYdfHtswffp0bNu2DdHR0Q1jV69ehaurK4KCghrGxO4jkrms\npy1UVlbCw8PDaEypVEKr1YpUkXzduXMHKpUKkZGRSEhIELscWdDpdFi2bBn+4z/+A76+vmKXIzvl\n5eU4efIk4uLicOTIEWg0GiQnJyMoKMjmlwCWO4PBAKVSic8//xwJCQk4ceIE3njjDURGRvKL9wN0\n6dKl2VhlZWWza2WL3Uc69B63h4dHszdXq9XC09NTpIrk6fr165g1axY6d+6MlJQUODt36I+N1fzt\nb39DeHg44uPjxS5FlhQKBTp37oyFCxdCoVA0TLI6dOiQ2KVJ3v79+6FWqzF27FgoFAqMGjUKo0aN\nwtatW8UuTXak2Ec69Ba4d+/eyMvLMxrLy8tDaGioSBXJT1ZWFp599lmMGDECf/vb35p986TW7d69\nG7t27cLQoUMxdOhQFBQU4I9//CO++OILsUuThZCQEFRVVUGn0zWM1R+zpQcrLCxETU2N0Zirqytc\nXTt0yGoTwcHB0Ol0KCgoaBgTu4906MY9fPhw1NTUYP369aitrcWmTZtQUlJiNM2fWldSUoLk5GTM\nnTsX//7v/8497Xbau3cvfv75Z2RmZiIzMxPdu3fHp59+igULFohdmiw8/vjj8PHxwSeffAKdTofT\np0/jwIEDGDt2rNilSd5jjz2GnJwcbN68GYIg4NSpUzhw4ADGjBkjdmmy4+3tjcTERHzyySeoqqqC\nWq3Gzp07MWnSJNFq6tBbYoVCgdWrV2PXrl0YNmwYvvnmG6SmpjIqN9GmTZtw+/ZtpKamYtCgQQ3/\n/vKXv4hdGjkApVKJ9evX4/z583jsscewdOlSvP322xg4cKDYpUle//79sWLFCqxbtw5DhgzBe++9\nh48++sho0hWZ7v3334dOp0N8fDyWLFmCZcuWYcCAAaLVw8t6EhERyUiH3uMmIiLqaNi4iYiIZISN\nm4iISEbYuImIiGSEjZuIiEhG2LiJiIhkhI2biIhIRti4iYiIZISNm4iISEb+P+MmG6KYlAZ5AAAA\nAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11ec11be0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(1, 1)\n",
"ax.plot(x, truth.y)\n",
"ax.scatter(x, y);"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"ExecuteTime": {
"end_time": "2017-11-21T04:53:48.226367Z",
"start_time": "2017-11-21T04:53:48.220036Z"
}
},
"outputs": [],
"source": [
"def cost(theta):\n",
" m, c = theta\n",
" model = m *x + c\n",
" return np.sum((truth.y-model)**2)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Probe the PDF with MCMC"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"ExecuteTime": {
"end_time": "2017-11-21T04:58:26.579590Z",
"start_time": "2017-11-21T04:58:26.156022Z"
}
},
"outputs": [],
"source": [
"lnlike = lambda theta: -cost(theta)\n",
"nwalkers, ndim, niter = 10, 2, 1000\n",
"sampler = emcee.EnsembleSampler(nwalkers, ndim, lnlike)\n",
"pos0 = emcee.utils.sample_ball((truth.m, truth.c), (0.1, 0.1), nwalkers)\n",
"_ = sampler.run_mcmc(pos0, niter)"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {
"ExecuteTime": {
"end_time": "2017-11-21T04:58:27.748929Z",
"start_time": "2017-11-21T04:58:27.384208Z"
}
},
"outputs": [
{
"data": {
"image/png": 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yh0B81h3v1GTiqampgSdfvkkxQR49BXv16lUsLCzA6XTC4/EYPHluJE3TUK1W\nsbm5KXG5ZrOJ/f19ZDIZ8TJParbRL1RKpMiBJ5bx/fv3sb6+jnw+fyJFa7PZRKmy9pgeEUtsCJi8\ndjQaFYBTFVutVkOpVEKhUDhGadJLBZ4wCyrIqzSk+myqt6yCPHtob21t4T//8z9RKpXg8XgwMTEh\ncURd17GzswNN00Tx7e3tGTxF4Ek3tP39fbnv0dGRIXGKQjqN46Qn1+12sbCwgNu3bz/1fVUqFRSL\nRYOCoOIvFArHqNj+5jz04F0ul9xXPWuABh0AQ8Yu5+u051/zGbvdLgKBgHi75XIZExMTeOedd+Dz\n+eDxeJBIJCSGOzY2hkuXLhlAXvWgVWVeKpWke+Gnn36KTCYj6yafz2N7exuJREKupYZFGBrgHKkA\nrVLNuq7D7XafqDD9fr8hC5+AxXAV39nThO+7UChgb29Pwi0EXbW086TmSqcFeSZp8Xk7nQ58Pp/h\nN6VSCbVazdAKut95YPOoarUq86TruqGDnzov+/v7iEajUpKolr4+i64Hjuuxer2OeDyOYrFoAOPT\ngHz//Gxvb+Pg4AB7e3uo1+sG9uJp1+12u5JvcJKoxgzDRJybswL5VCpl2OvsR/KyBspZignygCSm\n1Ot1OTZwkCInSN6/fx+fffYZDg4OcHR0hEAgALfbLRuBm/NZpTxqdrPFYsHo6Ki0s+x2uyiVSoaE\nqX5pNpvQNA0+nw/pdFooTgKExWLB+Pi49MN+5513DHRkp9MRj+vg4EA6mjmdTgMQUjkBTzyeYrFo\nAANVSageAjcsKc9AICAe9f7+vjTtYAze4XCgUCgIxXt0dIRqtYpwOIylpaVj89ButyVLe2lpCZOT\nk/D5fEL78r0BPdpyZ2cH2WzW4MnTK6XlfxJlP0jJ09tjORjBtd9rVD15l8uFw8NDrK+vI5PJYGho\nSJQ+vQ2XyyXP2mq1MD4+PrD0cJCsrq5ieXkZNpsNbrcbs7OzmJiYQD6fl7a04+PjeP/997G0tCRz\nyPfN98p3r7IvDN00Gg1ZZ6z15rphTX+pVJJwFk8e3NnZwdHRkVQ/8B6DYtQ0WFUwothsNomxcmyq\nJ8899fjx46d2blRBXv033xn/zXf7tIoWvquThL/nPPBdqJ6lrusol8tiNALHSyBpuPPvvD9BTKXj\nWcmxtLSEubk5TExMyOmPiUTiRJBXmZx+z7f/+U8yfgZJv8HCdrhqvhDf5dNAvlQqYX9/XypxBulH\n9Rn619dZgC+vMTo6KuuQiaDJZFKcrjctJsij5w1mMhnptJRMJg0LSwUL1RPZ399HsVgUj4LKJBgM\n4t13331m4xkV5PspQQo3IQ9QjQHcAAAgAElEQVSxUIUetd1uR6PRQKVSQalUEgBrNpuGuDrLi5iY\nxJgtj2mdmZlBu91GMpk81iqTG6TdbqNSqWB/fx/pdPpYExsAkuhjsViwuroqioKePWnearWK4eFh\nTE9PY3JyUsZK+rhWq0lZW7vdlsM2+kGWn3GjOZ1Og1dDL5iJVqpiY7IYf5vNZk/sS5BOp6XBzf37\n98WTIAU5PDwMwHh8rDpOi8WCdDoNp9MJn88Ht9uNd999F3a7Hbu7u2g2mwgEAlhaWhKQTyQSyGQy\ncDgcBoBJJpPHehhQms0m4vE4xsfHBYS5Tvb29rCysiLv9MKFC7h69aoAKpMBVeOS4EoPPZ1OC6DS\na6EnyTWj67okujmdTrTbbWxvb6PZbIoBR7AimKpdERnOYJOd/mx5Go+cY3q/fP8qtf40kGcuCY20\nfi9MZaxOAnnO3fT09MB7kZrnGQsAMD8/j+HhYQPbBfTq2XVdx/DwMJaWlgwxdF5LfUa1yyPXHMe8\nu7uLhw8fYmhoCA6HAz6fDyMjI+h2u7Ku1L1wElAOordV9iSdTovBl8/nn5rXMgiwaRyqc6sC99MA\nvNPpYGtrCxsbGyd+R93ziURCjvV9WVH1mpqwabPZxFE0Qf6cCGvHK5UKpqamxEOmqJnXmqZJ0wm7\n3Y6bN29KYwqVVrTb7c/05NV4GhcLs42B3obPZrOwWq3Y2dkRMOn3nqlAj46O0Ol04PF4JKFN0zRR\ngDabDXa7HV6vV8rgHA4HHA4HstmsUNFMXAKeeFVcxKlUCq1WC8lkEj/72c9w7969Yx4zE10ikQge\nPXpkUJSqVzgyMoKRkRG0Wi2DJ9lsNpFMJpFMJmUOY7EYNjY2DO1G1TkEgEuXLsn1++fe6/Vifn4e\nk5OTBnA/OjoSUAaeUKGDhF4Hwa1areLOnTvY2toyZG4fHByc6Mm3Wi2MjY1JtQRzD3Z2dnDv3j1Z\nR6urq6jX6zg6OpJyNE3TsLy8LO1eecqbKrFYDNvb27BarRKjLZVKePDggcy76jlRgXc6HQwNDUnL\nX+YoqONmPgITStWudYz/qsrf4/EYGKHt7W1hyzgnqiffn/RWq9Wk0c6gd6LrOiqVCtLpNDY3N5FI\nJJDP54U52N/fR6fTeSqlOzMzI/uB71XtlNgPgoNOmOR6PKmGns2jMpmMoUudajxzDlqtFkKhkCGn\nRDX8OSagR3Wr80ID+uDgAI8fP0YoFEIqlYLT6RSWyuFwwO12G6o6OJ6TvHn1kCN+3v/fxMSENLRR\nj7g9jfDo6f68h6flQqkMUrVaPWZcMQ7Pd0pR99PLirpmVQO0v2rjTYsJ8uhtDjaK8Xg8YulSuIC2\nt7clFmW320XJ2Wy2gUl2z0PXE+QJvsCTOG9/v3kVTG02G/b397G9vQ2bzYaRkRE4HA7Y7XbUajWU\ny2Xs7++jWq1Kxj2VcbfbxaNHjzAyMiIlQpqmGTwhKlx6arlcTlrlfu1rX5N4r7rINzc3sbKyIm0q\nZ2dnYbPZMDc3hxs3bkDXdYyOjmJubg4zMzNyTwDweDzweDxwOp24du0a6vU6fD4frl27hvn5ebHK\nKZwrh8MhJXpMJKJxUSwWpY885xnoKS+WgTHTu//6qlAhkyJdUMqceN35+Xkp4VNFNZTUnAcACIfD\nmJ6eRrVaNTRHYeOYWCyGx48fo1KpoFAoyPsYHh6WEj3Kw4cPsbW1JYZLt9tFoVAQhofPTWYgEomg\n0+mIwbe6uor//u//PubJx2Ix8fQJRtVqVSpJNE2Tc7pJj6pljTSoZmdncfHiRfmNur5IZR8eHsqR\nxFybKiByPnW9Vw6Wy+VQqVSws7MjpZg0Zh4/fvzUk/AYWlFpbzXZlWvI7XYbKlb6322j0UA8Hh9Y\nK881ynupv7t586YhN4Q6YWtrS5IHVZBvNpsGKj+RSBgM23fffRc3b96Epj1poWu1WiVcpuZB6Hqv\n3HR1dfVYAx2+k0ajgfX19WMhhf7n7zdon1e4ztgAiHPRb3j84he/kL4a1Ln0zlXZ29uTfvXqnh6U\nZPii0v/cFLKogAny50rcbjfGxsYA9OijnZ0dlMtlrK6uGhQpKdWxsTFomia0tFpPTnlWTbMK8lws\nDAlQGE9XRfWe6LWw5Iag6/V65WhXKs9IJIJMJiNKgYq8UCggGAzKxmd2MvCELaAS93g8onDHx8cN\ncVt+j8Bqt9sRCoWkvpssAp9haGhIqMSlpSU0m01JwPvt3/5toVKZZU0PRN2gbF/Lcj7VG6TiTKfT\nwkCotdYWiwWZTEaUOpmCkwwzfq4yNqR4eV2Hw4Hbt2/j0qVLx36rKuP+dTA2NmaoXOC8so+76m1S\nAQeDQRwcHByL2QK9dUoaWE3uAyCGAmvduQ4IANVqFWtrawZFm8vlDEZZq9US8CTwDw0NYXR01BAD\n5XjYJpc5IPRcCR68T61Wk2z9YDAoxkg/Xc9563Q6kh/SaDSElRsbG5PwTr8hRDk8PBR2rNPpSD+C\nw8NDMQr7QX4Qda16dNvb28jlclhZWTEwdTSc1XfPvcakVBXkbTYbZmZmDFUWAAxsXqvVQiaTgdPp\nlPc3Pz+PiYkJw9yr+SYcB0GxP5FWjWOruks1hNj4p9+g61+Dp5V2uy3GpppXwHCNOt+RSARbW1sS\nhtnZ2UGhUDiWta+2k1b3Rz+bOEji8fixUt1Bohrufr8f4+PjAJ40Weqv1nhTYoL8b0TNIA6FQqhW\nq6jVatLxiouYJWbFYhE+n0+yValQ1S5VJ8W5KP10PfBkUfaXYw2Ky3FzUYl7PB6hvWdnZxEOhw00\nGHMHrl27doxmUpVXvyevHrSieneMl/JzxtltNhuuXbuGRqOBdruNubk5A01JYZycbEUsFsPc3Jx4\nxqrhY7PZhP5V6UDS1mpmev/BOTabTZLb1BjaxMSEZLUfHR1JjJLA3y80xmhYcH50XZecCs5LP5Cz\nXJHXVxun0Igpl8u4f//+MQqWY04kEnC5XPD5fLBarRgeHja8f3V98B0lk0m4XC5DAtv+/r4YS1ar\nVd4Zxx8Oh8VLUoGebYnZ1U6tImHSYD/LVK/XEY1GpT6fISOGLfhbNSbLNaaWPPUbXpqmYWVlBQcH\nB3I2Q6fTkaNb6bleuHAB1WoVq6urWFtbM4B6MpkUZUw2aWZmRhJxVcq4PykQ6OVoPH78WOaH/69e\nr6NcLotXT/BSjUG1yU4wGMTU1JShrTLXD8sJKdVqFaOjoxLP13VdQF7VNzTM+I65NzjnFy5cMHy/\n0WgcO1CJc8DxcF31A6fq0aolepRcLidnJQwC1mKxKM6HWl3RHx5RwwY0clqtFsLh8LGDm9TfcN0z\nn4jvsX9N8ZlisZiElJ4mKrtkt9sxNzcnbBxzYM5DKZ0J8r8RNU7Lg1f40lUQ5sujEup2u5I0lUgk\nsL6+Lp7DaT35drttiM21223plqdpmtTNUlTwDwQCshkvX75s+I5qBbfbbUmCotJcWloST0lVsKpS\npaKjIpudnRXalkDM30UiEWxsbMBut2NmZgYXLlwQMFBpLYvFgsuXL0vfcpVODAQChkQz9VlsNhsm\nJycNdf1kKviuqtUq4vG4UJAUKnKr1YqpqSn4/X64XC7MzMxgcnJSqPvZ2VnUajXcv39ffqvWtBPk\n6vU6gsGggcno9zRVOTg4kM5tVDy3bt0C0AMLerBqRjSvq3YBC4fDmJqakvsNCuWoyjmfz2NkZARO\np1MUV7fblWQ7q7V3Ehs9PXp0mqah0WhIqIMhHoIyv5NKpeTdtVotOJ1OAXu1wY6maRKPn5ubw/j4\nOGZmZgwHwXAuHQ6HVAbwuhaLxVBCSLDm54FAAOVyWWLwa2trWF1dRSgUwsWLF3Hx4kW4XC6kUinE\nYjGD8p2amsLU1BQ0TYPH40Gj0ZDQA+PiBDmLxSL7O5vNSutdFeS73V6nOXY8I+Omen61Ws1geDoc\nDglRcC7UUAKl3W5jaGhI5peJdJwL1cHgdbhWPvjgA/E4OR4+E71h1ZNnuTC76Kkg37/WngbyXM/8\nTb/QOSIAq/kQBPl79+7hxz/+sVyD8/b+++/jvffeO0bB8z5qa+SjoyMcHBwAOG446rqOBw8ePDUP\noF/U90nZ2tqSMOVXvvIVQyvyNyUmyP9GuEnz+Tzi8fix/ulqYwUCDhM/6OVwYXDBP+0cZuB4TB54\nAmiM2/I7Ozs7olxUb4ltW9UYHPDEO1RB3mazweVySWMV0pAq3dafgEOlQ0OE3g8VHzdLKpVCuVyW\nErxKpWKoV1Y9GHqxHAONhcXFRbRaLaTTaTEkgJ6XMT4+DovFYgglaJomHQO54dSYvBpyYJhB13XJ\n5Ad6ns3Y2JjMRTAYlHFSHjx4gP39/WPWeSAQwJUrVwwxec4bD3hxu92GUjJ6IExUY6y6XC5Ly9lm\nswmHw4F4PI6NjQ1pOkKPhOtlUMyyX3HREKSyUZmY/f197O7uSuyfOQlAzyi5d+8elpeXkUgkMD09\nLR5pNBqVd6a2LH78+DHi8ThmZ2eF/epXmplMxgBcLpfLUBeu673a+EuXLonx0Gw2US6XDQ2A6P23\n2214PB4J2ZBl43kP8/PzEsZyOp24c+cOPv74YwNbFgqFMDw8LPcmkKpNdUjBsvSs/5loCNOYIQui\nvi+1Gx1LKbl2fD6fMF8qm9EP8pxvvkvVyOsHebvdjomJCUMeCvcdjTkaUP1lcDRqeU8AuHPnzjEa\nn7+hoa2uVwr3Xf9vVeDP5/NIJpOyfzudDlZXV4UhVcMxTPq0WCzynhhy6L92t9trE0zhHPF9UtRQ\nXD8DO+jALD6XGvokE7OwsACHwyHG1JsWE+R/IxaLBcFgUDZFNBrFnTt35OWqcS0mtqneIT8Dniyw\nnZ0ddLtdZLNZ3L9//1hyiJqQw8Wn6096r4fDYVFCxWIRv/71ryU5jr9TgVxlDugNMzZMBe12u6Ub\nHoGbClal8NVNAjypMXc6naJQAYjRcHh4iIODA0lMjEQiUsZGIHv48KGhJzpjwDRUeD0qH56vTapT\nZVt4jW63i9HRURk3FTKf2WKxYGlpCRMTEwYqk0JjgMp2eHgYw8PDBoVRq9Wwt7cnnpV6mAkzg0nX\nU2KxGNLptCRWeTwe8Q739/dxcHAgMWiPx4PR0VFRLuzONT8/L1nvKhXOXgiDvCMaWjRAaZR6PB5c\nunRJmtjs7u6iWCzKuq/X6zg8PJR4PcMv+XwebrcboVAI3W5X1s38/LyBCibjpOu9JkfRaFR6qVcq\nFUNZFcGf3iLnmiWTfDY1lMQjk/v3zurqKlqtForFooxFZQbUMlbVQGs2m3j8+DFisRgSiYSEQAgY\n/D3XXaFQkByEfsOF5VJsDrOysiJNmwj+VqtVGmgRQMm0UbekUikpL+Ta7s8BUA/lIciHw2HMzs4e\nYw6ZB9PvcXLPq04K/+xfU/SC++l7VV/x+fgs/ScRqgYQv9/p9I4zjkajkhTK57VYLMLKuFwuMYqZ\nNDw2NiY5Aare6gd59ttQHSigpxv39/exvLws7AkNyP69BfSS+AbR92qYYmNjQypSxsfHTzzc603I\n+RjFORAq7JGREQSDQYRCIayvr2NtbQ2VSgXNZhN7e3tSLsfFqGma1COz77SasNNut7GxsYG1tbVj\nx7aq8S81J6DdbqNUKiGXy6FWq2F0dBQ+nw/lclkyS/ldJpQBT478ZEIKlSIVqeoJU9Ey9soYH2Bs\nFsFYZyQSQaPRwKVLl1Cv1+W77BU+MzODoaEhxGIxyWqlJ88GQ6qXoiZSTU9Po9Fo4Pr167DZbJie\nnkatVoPX68UHH3wg80mlpcYD+70kbrzNzU1RyvQ6qWTUuabCo4KqVqtYXl6WTa/rvTpgnvjH7xPo\nWc/ebrcxMzMDi8WCSqVioDBVpoT313VdYslWq1Xip/3eDv+/+k5okPR78vV6HYlEQpgWgg2VVrFY\nlA5dDE/Mzc0B6CWe+v1+YRI4typFToMB6JVSMiwTDAbxW7/1W4Z1bbVaMTo6ipmZGRQKBWndyrlY\nXV3FRx99hM3NTfF2CHrM7SDbcuPGDemGCPTi1C6XC9vb24hGo9IVkmEMJsgx/q/mZnDt8BlZaVCp\nVGR98bsq+KnZ9/TWabiwvwPfHT1PJjG2Wi0DiKZSKezv7xu8da7bfgO2n4budJ6cNsfnY18I7nvu\nqampKVy9elX2NMfOPUSDjXpKvZe65/jO1DngGNU1ffv2bUlI5tq9d++eGDcE+Gg0igcPHmB1dVV0\ng8vlgsfjEdDmmQY8g4LzZLVaDe2iVcOe+TV7e3tot9vIZDJyoqE6Tuq/er2OWq2GarUqulk1vtSQ\nbX8HVDXUoe7LfmfpPIgJ8r8RlRpmeVyhUEAikcDPf/5z6ZJGy1BNrOJmoTHADUrl0O12DbFHiroZ\nVOAhoIyMjKBSqaBSqaBWq0mclJuGFKtKj5EeJJXpcrkwMTEBn8+Hw8ND1Go1w8a22WyIx+MGUFKB\nY35+XsrvSCvymYFeVumFCxfQ7Xbx4YcfYnR0VOKi9MBdLhcWFxcBwOA5qMpN7UkfCASws7MjR2Gq\nRhPHxo1Wq9Vw7do1zM7OHosX5vN52YiDQF5VrOo7Ug/kYIycbAM9FdWzd7vdUsZosfTKgMLhsCGn\nwGKxiFKh15/L5SQEQ2+91Wphbm5OStN4D5VmV+PmqiLRdV1yGex2Ox48eCAeruox8j2yxDKTyeDw\n8BA2m026ETLk4vF4DJ4SlT37znNspERVI4XJklNTU7Ju+Hmr1UIqlZJGTKTa2Sa6Xq9LTJ7rm/O5\ntLSE+fl5pNNp+Hw+jI+PY2lpCTdv3gTwJDTFe6kJgvw7QyKdTgcLCwuy7lVDsZ/GVtkt1WvsB+dS\nqSSgsLKygkqlIpUdNJr9fj/GxsbknZHBOul9UzewasLhcGBubk7+fu3aNSwvL8uYeCDR8PAwyuWy\nGLwMB3I99J9FwT1Fz5vz17/v1DXHEIxqjJZKJdy/f19AVKXrqQfz+TzK5TJyuRzsdjvGxsbgcDiQ\nz+cRi8UQiUSExVFBvn//qvdNJpOSs0OQdrvdcDqdUgnV6XSwt7cncx+NRrG5uSnhEhpsDx8+xNra\nmswP0HOY7t+/L86Wmg9E3QYAt2/fPlYq+6bEBPnfCF9OPp+Hz+cTz7ZWq8HtdqNYLMLr9YrFr8Zg\neSwmKVm1LIsAQuryRz/6kSH7m4tEXbipVEpq9oFeTKhQKMBut8umoNdutVpx8eJF8V55qlitVpPN\nobIDXMh7e3soFoviBTPGpSo6AHKKmdPpxOXLl6WMan5+HgCkhWy9XjcAFTvs0eJVqxP66UE+CzcF\nlejKyoooeLWzHhUPPamxsTF4vV5sbGxIq04aO3y3TwN51ZOfnZ2VDoIcL//fIDrSZrPh4sWLUttP\nmpvHc6r3tFgsODg4kLn86KOP8Mknn6Db7QplH4/HEQ6HJQbZaDSEQlbpTgLWIIrVarVibGwM1WoV\n1WpV3iET2oAnCVK/8zu/g9u3b4tyZTzZ6XRKlrmaj6KuNxpfBG2OgUDm9Xpx5coV3L59W04A649t\nskaf8dWFhQUDsAC9UBHDFaVSCffu3ZNGSUwEVfMU+ul6diVUPXkarbre69lw69YtLC0tyRjV2DDn\nm4azpmliHKnPz3dE50Ctm2dtuxp+CYVCMh889lXdF9QbBJhCoQCPxwOHw4FYLCZNr5LJ5MAkPaBn\nhLOjJ7tmjo+PS66CWpVisfSSCtfX16VhkhouUPMM1PUWi8UM61zTNDEqtre3pYOo+h/QSziNRCJI\nJpOGkzxtNpvQ8UdHR/B6vYb/pxrgBH3ObTQalXJHvkur1Qq/3y+lvOpzcK9bLL3qFepErh/12dU/\nG40GlpeXxRFR9weAcxGLp5gg3yfMks9kMrDb7Uin06Jw/X4/UqmULBYmkKlA5nK5sLGxgc3NTYOS\nsNlsuHz5MrxeryFxTNN6B7Bw4bOGtVgs4he/+IWU7GmaJt4AM2S5yLlRSVXxnp3OkzPl1dwC0uZM\nUGLHuUExeVrDTHDpj1dVq1UpaaMnrG4Sv99vAEVS/SoVyI1Iw4GHpKTTafzqV78SsFSNkEePHuHw\n8FDGbbfbxYih4cBKCY6FjVP6QZ4xVavVKge3sK3v4eGheN6apkmMEOhl7pZKJbHq6Y1x4zOxjspE\npfbYXa5er+Pq1atCuzIWGY/HJRNYrRXnuuF91HelshZOp1NKwlwuF1ZXVw25I/wdM8mZWMf58/l8\naLfbkkHO9dRfChmNRuU3/IzeEFmOaDQqeRwqzcmxttttTE5OYmFhQdYZwZhGLTuqkV24cuWKzDfp\nZ7/fLywcr59Op7Gzs2NI4gJ6ZVtqFzqXyyW0LsdltVol1EAjw+l0olqtSo0981vI4BGcuT54JHCp\nVBJDsVgsGk5IjEajUi2gGkE0IFRPkWWnABAKhTAyMiLGD40u9dhT9pqw2+3SaIbPpRonNGAIjsz+\nV/MSBnnyBHe+W+ohtaNef6hD1S0ApC2uyowBPQOaOurg4EAcKxVUyZDV63UUCgUkk0kcHBzIQVwc\n2/DwMK5fvy45NBwbn5uGsKqL1dwclalhXhLX8iCQP09y/kb0hkRVUBaLBT6fD4FAANPT02i320il\nUtjc3EQwGMT29jba7TZ2d3fRbveOmeVxnn6/XxaRSuVYrVYxIP7v//4PnU6v7WI2m0Uul5NNTy+B\n1m84HJZGIqQhGX/moqKiqdfr4skPDQ0hn88bMqGpoEulEvx+v3jwNCS4KVQwajQaCAQCYqj0K3nG\nzYAeGKVSKRQKBVn4Ho8HkUhEgJH0oApQ9JR4TZZYXbhwwdAnnQqd1yCrwkzZ7e1tjIyMiIInUPE7\n1WpVTlwDnoB8NBrFzs4OotGobGbGr2OxmBw/PD09LZncFotFwJ2NMwg2W1tb2Nvbg9PplHgi30G1\nWpWStFKpJNnhmqZJ5nCpVEK9XsfU1BRu3rwJr9dreCeapiGdTuP+/fvHQJ7CHAh6YrquY29vD6FQ\nCLOzs9K58Ne//rWUC1YqFWSzWYyMjGBychJ2ux2JRAKtVkvKgtROfkwk5buem5sTo1BtcdtoNKSZ\nEd83jZ/V1VX89Kc/lUQ1NWbMtsjq9dbW1uT0O+67w8NDeDwezM7OYnZ2FtVqVYzLg4MDMeIIOG63\nWyjmQS1vafCRap6ensbIyAguXrwIr9drOMpZzdOgUctqDbVChgxUs9kUyp3GuMfjwdDQEHK5HBKJ\nhOx95sxw76ieK/fD0NCQUPKa1qu2YQOqkZER6X3P6gH+Vy6XYbfbZS1vbm7i008/xccffyzMEte0\nmhjJ1tk8/rk/RNYvqtesGnm8NvUX93Wn0zuZj0wQy2H5e5VZ4NxHIhEUi0WsrKwgl8uhUChgfn5e\nmDVVaLQQ7Anyly5dgtfrlQOU+F2uEa5PXX9SgaGGbwAT5M+9UIlyQY6NjaFer2NmZkYs30qlIs0O\nGNNpt9soFAoYHR2VoxL7E8NoNZOWUq1dv99voHbohbZaLQQCAeTzeQFEhgTUphDsca3WOdPjstls\ncs63SnVVKhUEg0F87WtfA9ArkSHIq4lAAMTTI2DQM+DmuXjxIiYmJgBAaFOOhRY0E2IcDoehJTCf\ngePz+Xx47733pG7Y5/NhbGwMIyMjUq+tgjwbmRA8mQSnxkwJ8l6vFz6fz+A1NRoNqUIgc5PL5XDh\nwgUAkPawTPThNdghrl6vY2xsTDxZCnuFU0Gr4R3mWAwPD0slRzqdlsQfp9OJra0teac3btyQhDLe\nI5FIoNlsHqPrVQ85Ho9Lt0T+f74zepTJZBLZbBbVahUTExNYXFwUZRcIBCTfYnR01BCvVKlswNi4\nJRQKIRwOG0q7yNJQsdbrdbTbbYyPj+O9994D0PM4mbTKNd1ut7GzsyMhjsnJSQSDQZl7Jkra7b0W\nzvF4HCsrK+h0Onj//fdlbzE7OxqNotlsSrmaz+eTZEVSx9yDfr9fPotGo1hbW5P+GQTrQqGAbDYr\n74K1/5yjiYkJYX5oDNOzt9lsePz4Mdrt3gmAgUAAnU5HTk9kXJweeC6XM3R2VEGP+oJ7n97w4uIi\nrFYrrl69KnR0uVyWTpU8kpqsEMGr2WxiaWlJ7sG1lc/n8eDBA3z22WdyOFf/OuSffCcHBwdIJpMC\nripdT5Dn310uFyqViuRvcJ1Rn7zzzjv48MMPZa5ZEaHrOmZnZ6WhD98ry15V40A92ZPvutPptU/m\nAV3UHSpDSFaN+vndd98VI0utVDBB/hwLY6nsDMYYUTAYFMuSi4SxtkajgVwuh2q1CrfbLRtO0zRJ\nvMpms1Kalc1m4fP5YLFYcPfuXcngZjY6ADmQRtN6zXbsdrskTxUKBfj9fnS7vWYbaqyYypyL1maz\niYIeHh6Gw+GQGN69e/dQKpWEjmO5Ghc+qS9d75WhDA8PSyKd3W7H0tKSfJf1x0NDQ1Ii5nA4MDo6\nKol/pN94YAYtaF3XkUgkDFUHBEN6wuFwGB6PB51OR+qTCXJMaBoaGjJ0OQOeGA8syeLpbu12Ww5r\nYfwtm80iHo+L8g8EAsICUDlXq1VEIhHxCknZapqGSCQiTTcWFhYQDodhsVjEk3e5XKKI4/G40MEe\njwfFYhGfffYZjo6OBHg+++wzVKtV7O3tSU6A6pGwRI50sK73ugDu7+/j8PBQYvk0etiUhWvTZrOJ\nZzw2NiYUsMfjQTgcBgAxWklPMs+EiXl8n2y7CwATExMSqqDByHXt8/lw4cIFeDwebG5uSjhjYWFB\nvCM+G2PFDA2R5QqFQhgbG5OwVLPZFO+ax/2yQdHQ0BAWFxcxNTWFbreLTCaD//u//5N33mw2EQqF\n4PV6cXh4iP39fVmHXDtkaxhOKJVKsre4R3gSowpeNFTUKhY+L5M4VRZL13UJyc3MzEhogk2XyuUy\n7t69K4cWqYDKiiDuGzU+TrFae+V76+vr8Hq9UtZJo5wAPDU1JSEa6hOu442NDTkwi2MoFAqIRqMS\nTuI6ZeiKuoBJjjTYaDntMUYAACAASURBVCAxdMY1GQgEJAFXDZn4/X5cvnxZjlvudruYm5sTncX7\nxONxObqaTAWbf7GLZ6FQwNTUlLwnMibU3SpbRfZFrZxQ82u4N9QcGRPkz7HQO3A4HCiVSqIAbt++\njf/3//4f/H4/RkZGcOPGDYn5eTweBINBFAoF6UFN42Bubg6XLl3C/v4+AoGAgJ7b7UYqlUI8Hse1\na9fQ7XbFYKC43W5MTU0hGAxieHhYlAWBlp4HlSNjsMCTEjzSS16vV+rlA4GALE41UYheEYHk6OgI\nR0dHWF9fx6NHjwRI2BcfMDabAHplTsFgEOFwGOVyGaFQCLlcDq1WCxcuXICmaQgEAhgeHhbPZnd3\n13Ai1N7eHh49eiTXnpmZAdCz8lkOMzIyIuDFToBerxdjY2OYmZkxhBtUBVOr1aQFKeeJCs5qtUrD\nGn4/EAjIKW6MwzJJbHx8XCh0Gn+pVAqdTsdQs89xN5tNzMzMSN06PQkaEZcvX5Y6fmZaX7lyBfPz\n8waqk15Lp9NBIBCA2+0WD+Phw4d49OiRjIlGp5rzQGVFT52eJuOcvPfly5cxPT1tSCKKRqMIBoPI\nZrPyzF6vV+LgXGtWq1VOgiNQ2e12obynp6fFUGDMlYYThUYbKf52u4379+9jfX1dFOzy8jIqlQr8\nfr+hFIznG7Db3e7urjRZOTw8lATUUqkkRhgbKql5EszBAXoGitfrRbValTlmiGtxcfHYuovH42Ko\n9IM848jcf9w/7De/urpqoH9/+tOfCoPYD95Aj/m5cuWKtAz2eDyIx+PyTFzr3LNqt8qxsTFhETRN\nk4oJ6gG+p7GxMfj9fmFgyMh4PB7UajXpuql68lw7lUpFjEg+L41qNX/H4XBIuSXzfBiO63Q6mJyc\nhNfrNSTeqffx+XxYXFwURsRms2F0dFTWvdpEi2NhhQdBniwsr6kycNyvfAf37t2TA8q4b7nvz5uY\nIP8b4QbN5XLodDqYn5/HjRs38Mtf/hLLy8uYmprCN77xDVSrVVFWV65cQTgcRigUkoXO09VI5ZTL\nZSQSCenqdfHiRUxOTmJ8fFzinip1xAVF65OeMEuF2B2NZXRMQrpw4YKAFTc5FzI3Ejco6UDSdKQQ\nCSJs2bq8vIyNjQ3U63WUSiVJTAKegLvqrfHfExMTkl1OcKKVT5qYCVGs4waeNENJJpOIxWKy4Tqd\n3oEjVqsVS0tLkmxEYGWclbXUpAoZT7PZbDg4OEA6nTacakbjiT39I5EIstmsWOfdbhder1eAhsYF\nKx+azSZarRa8Xq8k4zDBivHju3fvyjHAVPT00lmeQxq1WCxifn4e4XBYktDUueU6ZeVCOBxGo9HA\ngwcPJPzD+Kva94BZ2uxpQDqXp8g5nU5D61J6VQzFMFlzZmZGkhsZMqKRyb+Pjo6K0Usjxm63Sxkd\nr+V0OqX3A5MEgV55HJNddV3HxYsXsbCwgFQqJclUpLpZ+cK4rtVqlZPuotGoAAW735HCT6VSODg4\nEKM8FothfX0djUYDm5ubODo6Qj6fx+joKMLhMC5fviyeJY/ZJdPQn3SXTCbRbDbFawcgDAGrcCqV\nCra2tmCxWKRvO9ke0r98Js5NLpeTvAjqCeYhEGAY5mICmronuffU0I3a851rhL0eNjY2sLu7C6CX\noc+1xsoeVmEwHDUI5MlQ+nw+xONxOJ1OCf3Q+1fDOsynUZt1cb30Z7zTA6e+BHpGGo/Jtlh6LbjV\nMsONjQ1YLBZMTU0JMxqLxeTZyV6oeUeqV0+jR3VwqP/U/grnTUyQ/41wEzDmfu3aNbzzzjuYnJyU\nUqTNzU2hcoFeSQu9YL58u90uvaXdbjcmJycxOTkplJjL5TJYvkzkUS10Li6r1YobN25gYWEB4+Pj\n0q1ufHwcjUYDk5OTkl1+4cIFoVW3trZkM6RSKQQCAcTjcak7Zc99ej6hUEhOgKOyn5iYwNTUlJRd\n1et1DA8PA+h5D9lsVpq5qEl6lUoFLpdLEoHUuQWeNIYZHR2Vbnz9VjDLk2h8qH3Kdb1XAlQqlTA+\nPo4PPvgAo6Oj4nGrIQaCfKlUwp07d2CxWCTmz3ET8HkCIT9jv4Tf/d3fxdDQEDKZDC5evGhIJOKZ\n9wSAo6MjfPzxx9IrgAe6MPlsdHRUyoEIZIyLJhIJUZZWq9WQd9GvRBmvrlQq2N3dlZInGmjXr1+X\nbo2cSyoxeqeFQkEqCciusGOdSukzzsve+pubm1JvT8OS740GA1sbt9ttycVQcweAHvDdv38fBwcH\nAl5cywTN/f19AE8SoBh3pkfIJlFcn+12Wxo/FQoFfPrpp3j8+LFkXxMA+Ix7e3tyP4vFIuWaNIxH\nR0cNp0CqjVkInExeo7H+6NEjtNtthEIhxGIxrKysIB6PC1OSyWSkfwPDfwQq7h8AknvCTHE+Rzab\nNexdGmwWS+88CL5fTetV4+RyOclQ5/oBnjTO6na70qmPRizDFOqJlU6nEx6PR3J86PWrYRX1/ZLR\nUJmL8fFxCb/Qu1dDSMViUXJ41BLhfgaDJ29ybzDfSTUKaHwzPKqG8thdkjpA9eT5/H6/H8Fg0GBc\nEORVZqRSqeDhw4fweDy4fv26NJc6T2KC/G+ESshms6FSqQi1q+u6JCEtLS3h93//93Hr1i1ZWKT9\ngN7CPjw8lF7HjO9yo/RnZGazWYmtqwuZ9LvV2usV7/f74fF4cHBwgGKxiKmpKdRqNbGG3333XVy/\nft2g5AispG/pHVy+fBmJRMJQd046mxn3jNXzuZiUov5bzVPgomeLUbbjpUVeq9VEmbCEq9FoYGho\nCFeuXJGkPwqVLZmEVqslR+Ey34GeM5vUcKOGw2Gh9en1rqysSO0sPUyyNjS+/H4/FhcXoWmanCTI\n2B3ZHZ7qx1g1vS9S0/F4XJIrafAFg0EMDQ2h1WrJefd+v1/Ag41C1CZK9Pa5Tjg3fJf0AKvVKoaH\nhzE6OoqpqSmMjIxA0zRMTk6i1WohkUhIsySVLrVYepUHPIXP7XZjenoaNptNciZoFDCT+vDwEI8e\nPcLBwQESiQQqlYowDVT6bMoyPj4uVD3zXNQ4MvNOmAXP54pEInj48KHEewkO9MTI2rz33nvCplgs\nvZP2qGx5ImGr1cLExIQwawcHBxJ2CofDMkagd85AIpHA48ePJcHQZuv1P/jyl79sYCqq1Sp8Pp8k\n3dKo4TtnZcj8/Dy8Xq8ktAEQg1PNVyCQ5XI5fPDBBxIyIqg0m01hThiqY44FhePjqYR8z7FYDL/6\n1a8keVDdYzRk+R7Zb4DjyufzKBQKsqbYOS4YDOLSpUtSOUBHRwX5ra0tlEolyaHh+HZ3dzE9PY1A\nICCgOz8/LwaImpvhdDrhcDjEkFFbGo+OjmJtbU30gd1ul8OfuM/V8JbV+uQALNVzVw1pVr9wjV65\nckXCAypd3x8uUbtWMufpvIkJ8r8RNWFkenoa6XQa8Xgcn3zyCTKZDL785S9LQ4+rV69iYWEBfr8f\nw8PDoux0XZcTxRhr58E1ut5r7MB+9uVyWRSqenYxNyI9aCrh9957D1/96ldls7lcLkQiEfEmCA4W\ni0UsUFrzH3/8sVBYaqtb5hb4/X4BMovFIrQ8jQQCfr+SILgeHh7KqXmkuJloxvgqLXuCWzAYlHES\ntNLpNJrNJorForAPyWQSoVDIQD1TuVutVqytreFnP/uZgZImVUcgGRoawrVr11CtVrG9vY3V1VVs\nbm6Kxd/pdDA+Po7Z2VlcvHgRpVJJThGjR+90OhEMBmG32+UUM2Yp37p1C4FAQErhVCFd3e125R2w\noQnnOxQKwel0Stw3lUrh008/FTBQPXm11DIUCsHlcklTFsbUmUvCbGXVeGTWNj3V/oxgGj78j0YR\nG0KFQiHJN7l48aKA+Y0bN5BMJrG9vS0MUiaTkeNx19fXRYEywVClvguFglDlpK0ZX2VcldUA6qFK\nPI9h4TcJfGoJG3/vdruRz+el3bCabKXrupSLJRIJyfDnnFP5A088wHa717t/fHxcGlRRuaueP0vf\ndnZ2DBS81do7jIlJtLy+y+USnUIWxel0YmRkRMJVNHRUXdHt9k6UJMOorpdOpyPxf5XaZuImj6cm\nI0BDi90E2+22tLRm+R+9eIbe2GSH60zXdakIYHjM4/HI2uaYyWRVq1UUCgWsra2JseR0OjE+Po4r\nV64gk8lIePLRo0eSdEkdRSZB0zSDMQ8A7777rtyH308kElhaWpJEYeqgUqkkxiWF1+bc0+hl+2gC\n/3lMuKOc35G9ZqFyXlpaQigUkkQWWtSFQkGSfTY2NuByuaTMhBmtFKfTib29PRweHkp2JwDpOtXp\ndLC/v49ms4lbt26J56IuVCaNaJomZ4iz/pXUoOrl0asgbQ30lIbVapX4LBUUacWdnR1YLBbMzMxI\nBvnt27clOapYLEpPaXUhM0dgf39fcgTy+TwymYx46KTCOBYm1ZVKJQGj8fFxGWc+n5dT0Q4PD6WP\ngMvlQjAYFOW2tbWFSqWCUqmE3d1dxONxqctnotvIyIgctEKPoNVqYXd3F2NjY6hUKsjn89B1Xc7y\nJsAzOYoZxjQIvF4vstksrl+/LmVwNHTU5iPqOwGMIL+9vY1arSZlVaRcmeVMT290dBRut1uoS3rh\n6XQaiURCjDWWlYVCIczPzwtdS6VFEAJ6gMAqCeYykC0iMBFkeD9Soc1mEzdv3pRkP64hoKcEDw8P\nsbe3JwYkQwA8/IMhCho14+PjGB4eFnaEBlAqlRLKlclTBONKpSL9I9Sz2ScmJiTPBOgdG8vS1HK5\nLN3nCoWCXLPdbiOfz8tvpqenDc2g+DmF6z4UCuFLX/qSrCuGJ3Z3d7Gzs4NEIiGHOKlJXszRUcvS\nuHY4B6Ojo7IeJycnhSng/hgeHhaPlRn//YYv8CSvR00spWGhPhcNYJVluH37toQEC4WC4ahfGrp8\nr8x65xpWQV6d38nJSczNzeHmzZvitcfjcdy5c0fCOmzvS/aLxk2tVsPq6ipmZmbkSN14PC4sl2rA\n8PnYqdFms0mmPvMcZmZm0Gq1pBuoCuBkmHK5nGGeuJdo0OTzeamyODg4wM7OjlQ/nVc5vyN7zUIL\nnwuV1CPPHd/e3sbm5qaUXzHphx4jaS56AfRkWLpGr9fpdOLChQvodDqYmpqSo04J+sxIdzqd2N/f\nl5759Fzsdjt8Pp9kuHJxEeSpSIeGhiTeq9ZKx2IxARWW/vh8PmEjqDgODw9Rr9dFiar/j3kCmUxG\nWAhd1xGJRITup7dE73Nvb09yEwKBAEqlEsLhMG7cuGHojw5Ass/9fr9kQhMI+K5I6btcLinjI728\ntLSEsbExvPvuu5K4SC+PDYLK5TLq9Tqq1Sqi0agkFDGLXqWX1d7Z9NzY7VBtj6qCI4WgT4U7Nzcn\nZWBOp1NAWT3+12brtWvls6rUI2v5ed6A3W6XLGkyGaonx8OTrl69KolILLHjOFnf7fV65YwBGoVs\nZLS9vS0siToers1Hjx6hUChgbm5OciPUFsME7sXFRcliZ+Ip81QuXrwoR9SyH4Ou65iYmJBGRGrv\n/+npaamVZlwe6JWATk5O4vr162L8sWEM0KOYC4WCMBCM8XIMbrdbkjtV71fXn5S6kfpnKR2peZvN\nhvn5eUxPT0sY6itf+Qq+/vWvSy4O565SqUgzJJvNJsm1vJ96MMutW7dw48YNfOtb35Jul+oaUxO+\n+E5oWAGQ+VE9ebKCDE8xwY5hEoIj78HT7tglkEyY2g2uUqkYStkYemJJJ0MaFy5cEKeGbBRzIXRd\nN+RxUHepRuPo6CgcDgfW19eRSCRkD0WjURwdHcFut2NhYUH0CEN5CwsLUhnDGn/uO5fLBafTKb3v\nOU+RSET0+eHhofS4CAQC4jBwL21tbSESiaBerxv6pbxJeWmQ//GPf4xvfOMbeP/99/HNb34TP/nJ\nTwZ+77/+67/we7/3e3j//ffxx3/8x5JUdV6Enqd6YhQ/8/l8SCaTmJ2dlReXzWZxcHAgJUQEAjVZ\nhN4SS3UY/2bpHdDzhAhCbHZBaonJKIwFM/7OkIIKvPQY+ZnF0isZYvMP0qLhcBherxf1eh2pVMqw\nQBcWFqStKtAzHLhR1Ng7gYifAxD6ivdiU4nHjx+j0+nIYSxqe0/SsqyfpvKLx+Pi4ZZKJakUUEtn\nGO9fXFzEwsKC1P6yvCwUCklymtvtxq1btzA8PCz5FawuSKfTGBsbQ6FQkFppJiECkGYtnGMVxC2W\nXikXY5CA8URBsjyMrTKWyyShkZERSXoEILFcsiqct1wuJ9dxu91IJBJivDE8Q9qcn5Hy5LtiJnko\nFJLOhKQ0p6ampN8DAAF6rkEyRGqpH0FFTUoDIPQsP5uamhLammEbTdOk9IxhD84rY89qdzyGSsgi\ncL8yd4QGTqVSwerqqoQXrFYrZmdnpdSPzVsKhQKCwaAYGouLi5JTsbi4iImJCaGIVQaLMV8yUdxT\nZNdoyLFyIBaLyalsDL+p+mF3d1cMcofDIZ0V+f44X9wnhUJBTuhjqI1zQZDb3NyUxEy2umXuA/VT\nq9XCzs4O6vU6QqEQ0um0lOcyGdjhcMDv90veDY08MjAqCLNHhK73uipOTEzI6YTUUzyG1WKxYGRk\nRBwBhoRIk3MeqSfj8ThqtRr29/fx0UcfSZkzc1j4Phm3Z7IwExAtFouET7PZLEKhEBYXFyW0Qd1C\nQ5yHTVE8Ho8co839QWaQpbtqQiPZo7t37+Kzzz4zHB72puSlQD4SieC73/0u/u7v/g737t3DX/3V\nX+HP//zPjx2purGxgb/+67/GP/zDP+BXv/oVxsbG8Dd/8zcvNfCzFFKBBJhAIIBCoYCdnR1cuXJF\nwN3r9RoaKRDgOp0ONjc3USgUEI/H5YQyoOc5b2xsYGtrS5Tfzs4Opqam0Ol0UCwWpfc7LetwOIwr\nV67g+vXrWFpakqxUxqDpzfQDCj1ZgmU+n5cT4Bg3PDo6kiNFWeJHz5me0v/8z//g4sWLmJqaktr4\ndruN1dVV6enOciKCG0/ecjgcYt1aLE96D9RqNfGc6Ylvbm4CgJRWsSSNRoLaYMJqNZ70xU5n9FT5\nHhgOUD1xNcYKANevX0coFEI+n5cqAcaAy+Xy/2fvy2Jjvc/yn/lm86yefbdn7PHu4+OTc9KkJ6kI\nTaJGTasUCcEd0EoVhEq5QEIqCNSLgoQAqQKVUuAGwRUSCCH9JSSKKhTasDQnyYlzVu/Hu2fs8YyX\nGW8z87+YPq9/33fGu8+Scl4pyrE9862/37s+7/NKiYP3yYhqb29P3k8sFhMQEQFmfBc0CqVSSdYB\nSy40Wkzzm0wmiVDYmWE2Nwh6GElxKhcjSbIwApCafrlcFuQzn5HVakUikZBr0DRNBgpRoQINwFap\nVMLdu3fleauZiaGhIYRCIcRiMZm/oJ6H6zDz0+EyaqpfdQQBiIL2er3o7++X53758mVEIhFR2HNz\nc7o2TXaFcADS/v6+jFH1+/2Ix+OIRqMYGxtDqVSSFjZSE1utVhms43K54HK5JAVMB91qtWJ8fFzo\noanH+F55HSbTwTCTpaUlOBwOia7r9TrS6bQ4FeqoWQLsaBDr9TqSyaQ4KX6/X9L4jIoJSuNz0zRN\n2u6MRp7nuXnzJj7++GMpDxHFz6CFvf4sr3BvcQ+m02lxDKvVqqTYa7Ua4vG4tHmqWQk14s7n8/j4\n448RiUSQyWSE70HTNOkuACDOvd/v1wUWZKArlUpSDqR+3NzcxP7+PiqViuxL6ufFxUWZ4KgGBCRo\novFmjb6np0f4ELjWGaQQEMuR1z6fT9qg8/m8dKKQ90LN3tVqNdy+fRs3b958KqL5cxn5jo4OvPfe\ne7h69aqAKtgzrMr/+3//D6+99hqGh4fR0tKC3/7t39bxVT9poQEMBALY3t5GJpNBPp8XT5zz0t1u\nt6SsgIPNzzGGbrcbr732GqrVKubn5yUl2NXVhc7OTqFHrVarOqITgpEmJyfFCKpUtcYxlJyopabr\nVYPGfmkAQu2ZzWZl4QYCAal3q2nu+/fv4/bt28jn82hpacELL7wgm4TXo074YgsZU/NMFxO5ure3\nJzU08mjv7u7KsAn+TGPLiJWRDkGHjNJGR0elFkniGTpAAORa2H5Ip4Az1An2aW9vRzqdxvDwMH7t\n134NQMNJ4XOmQjabzQKWJFBuamoKKysriMVi8Hg84nDQuKhePVvXstksUqkUcrmc7rn39fVJbVet\n5VPpUFEFAgGpf4ZCISGqocFxOBzSnmeszTK7wXemOgfcp6yTq3VcXg+NIvuhE4mEvA9SBre0tGBx\ncRHj4+M6Zc7PAJAWI9Z5maZOp9MIBoNiGNfW1sTRY5mA40PJekYCE6ZdQ6GQdAs4HA5Jm09NTcHj\n8cg65nfYOdDa2ipgu0QigcHBQXg8HomE1ecINBx2dt1YrVb5PNAgAmLtnc4awZCMJPf399HW1gaz\n2Sx4AxoXrmGWIpjZ29/fh91ul5JCMplER0eHtJABBy1/TH2Tc59RZbVaFRDk+++/LxmJQqEg36ED\nE4vFhBuhUChgb29POhSoi+r1Orq6umRN0QGmk10sFrG2tia0umpAQuwO9Wa9XselS5eEHnppaQke\njwednZ1yXK/XK2x78XgcdrtdyHTq9QZfxtbWljgymtZonaUBZnmyVqvJ3qJ+YBDDd9zW1oaWlhbc\nv38fU1NT+PGPfywBFB1aHqu9vV2yAGr5hDqTmcMnLedO17tcLszOzuL555/H7/zO7+C3fuu3dLOj\ngUbrBBcF0PC8PR6PkC08aSF4pLW1VRYeIwfWc1g75Gaggd3e3hbPlykvs9mM8fFxjI6OSh2+Wq1K\nJLGzs6PryaXBvH37NgqFgvCXc4Oz7szIkPOXSSs5PT0tmQWm9eiZv/TSS6JAGCGwT35+fh5tbW3y\nvhhlUiERmHLv3j0B0qhRIcl6yGjHASFWq1Xq5GrU7fF4sLS0hGq1ilAoBLvdjlu3bgGApOddLpfQ\nV/b29krUqiKx+fyYogcOUqm8B9bcXnzxRXGmqBRJz6tmM6goeK5gMIhoNCqASKYMFxYWpMarInbV\nmjCVnIpl4AjiRCIBoJEiZxmHLUxU+ORnZ5qbRkFNX2cyGQQCAQwNDUHTNMTjcalx0zCprUIEnalr\nns+N56BDwBQqf7e0tISlpSVUKhXcvXsX09PTWF1dFcAR0esq+pvXT+NKSuP/+Z//wdbWloA+GQmz\nfLG/fzDrm8br0qVLQpRUq9Xw7//+79jZ2RHUN+u8gUBAcClUxtFoFOFwWLoESOhDxHd/fz+8Xi8s\nlsaYYdaYOdxmampKUsEsv/EZcf+r6GvqBavVimg0ikwmA6fTKUYwnU7j53/+5+X9sKzASJhrhul6\nrmVG8sRx7OzsIJ/Po1Qq4eOPPxad1NHRgY6ODnH6CE7kXl1ZWcG9e/cEtEa9wfVB8N+lS5ekXECd\nxXq9WhKkM86RscwmsXWQz6mnp0faYOv1OrLZrCDpSbvNGR90BIvFIra3t5HP52Wc7uXLlzEwMCAZ\nDe49XjuDgLW1NYyNjemowIvFojizvCcynN6/f190EzMIP/nJTzAyMiKAQ2brOGhsbGwMqVQKiURC\nSm6apuHmzZsoFAqIxWJNByA9brkQ4F08HsfIyAj+9m//Fn/8x3+M//7v/9b9vVKp6BDIwMGc8uPk\nu9/9Lnp7e3X/vfbaaxdx2SL0nFW+b3qfwMEkJn6O90LQytramrSdMZIEGtEKlYBaMye5BSeFEdlZ\nrzcoJL/0pS8JM1lfX5/U6e12u4DziCq32+3SG0zwCBUIFz+vy6hIiDSNxWKSDlafBdN79IjHxsZ0\n7HgApN2nvb1djBIj6S9+8YtIpVKS0k8kElhZWcHNmzeRy+VE+VICgQCi0ahQCvOZjoyMYGpqSqII\njuJVe1i5cemUsUwQDAaRy+VkWAW9d2YlWLNm/X9nZwczMzO6PmCgEZXfuHEDs7OzUl6o1RpcCMvL\ny/B6vRIZs0eY9UXOiadSARqUvZFIBOVyGU6nU8obw8PDQhKkplNtNptkf1TDoIIquc6oWKanpzEz\nMyMkSXxnGxsbMnFOnQPP6MZkOmALY+RTq9Xwox/9CD6fT5wQAJJ1IgaA9VQ6AlxPmtYY6rSysiLv\nlanySCQiNU6TySSZNeP6ZeYmn89jY2NDnmW5XMbCwoI4hypAs16vSyTc2dmJ7u5uAYJx70ciEfT1\n9eHKlSuoVCpyvFwuJ2Q+rNWzHMWaPNu/arWasCAyM8ZJliaTSdLOFotFRtzSCVNLGkS3M3tGAh2W\neJgB4/CqyclJXeDBtcE6vlr3jkajuHbtGuLxuC7KJ54jn88LOl3F+rAT5fr16/IuCGhjCYpCjEtX\nV5eQBKmlKWaJarUaVldXMTY2BpOp0e5IbML29jYePHggdXxm+ZhBuXPnjnxmf78xcdPv96O1tVVY\nHLk2WIc3mUy4efOmkGwtLy/L3qN+ooMPAOFwWPY0uy/otM7NzelagJeWlmT4kclkkpLtzZs3ZS0+\nSbkQI8807fXr1/GFL3wBP/zhD3V/Z++iKpyodpy88847uH//vu4/4/HPK9VqVdoq1PYcpiNVtDyB\neP39/XA6ncjn8/jkk090AA5Gsna7HQsLC5KyZlQDQIaV7O3tCTjHbDYjGo0KkYvaw1yv1wWFzpQ8\nnSdGt1SoNMxMHdII8Djq727fvo0f/ehHoqhpPEZHRzE7O4tCoYBcLieDKdTUL40MlRGNHJHCnCDH\nc3FoD/+jgjCZTCgUCmLUqNjZlUDvmcNqbty4Ic+QioMKne+TSp8KibOiyY2t1jjdbreUMAjmyefz\n+OEPf4iZmRn4fD709fXB5XLJddAIMTXM3nFmLzo6OuD3+7G5uSkKql5v0LSy356DZkglSuVM7nyO\nJKYhpyJnOpOKjOuK64l1WGY+QqGQEOIADQzEysqKKHt2WQAHU/sAiPPa398v8xLY2cF0Mx1OOkus\np7IFk/z/6+vrz+NUPgAAIABJREFU6O7uRjgcljVUqVR0bXn1el0Y7Jh2Z+2YDozKoU5ncmtrSwZJ\ntba26iY70ghwzdKR4HAflooIplOHCnH0L9cEs3TJZBKJRAKFQgFzc3MCDiWanqUdpqr5fsijz/vi\nPlDxIxaLBS6XSyJRk8kkKWfeA7Mne3t7AoTkHiAHvKY1uljm5+eFF7+lpQWrq6vSWbG7uwufzyfB\nAtnxyK63vb0Np9OJbDYraHbgoN04nU6L48N1uLOzg1AoJGh2RuuMpC0Wi0yUpAMNHAA3+f44RphZ\nNKLZOdRLLS/VajV8/vOfx5tvvgmn04lYLIZ4PI5wOIzW1lbhS2Amx2w2C96CTpXD4UB3dzeuX78O\nTdOEJ4UgOwZ6XLt+vx/Ly8uYmJjA3bt3sb6+jomJCUxPT2N2dhblchmTk5OffuDdu+++i69+9au6\n3+3t7UmdipLNZmWMIwBZTIxYnrRsb29jdHQUGxsbmJ+fx+Liog7ERsQz58cDjbnok5OTKBQKQhRC\nw0eO5ng8jmAwiOnpaeRyOUG7c8GwbsRWOqfTKXU9bgwqXG4sbmYAwg9PZjNG6jabTSglmxl5RsAA\ndIAbAJIFYOqLtS9SfKrpepWGUgW3aZomrHjhcFhSlayZqwaL3vHKyop40UR3kzpVbeUplUqyYUlU\no4LqCOpjfz+Ffe9Wq1V68kng43Q6ZYAMHRnyBTidTjFs7F+22Wzo7u6WehtT6L29vWLEiZJ2Op3S\n/8++/lqthvv37yOXy0n/s/pegQaJR6VSQSqVklawiYkJXUqTWRnS2zIdGQwGdXgPOtl0opgCJrkT\nnRuTyaQz8svLyxIZ83fcxzQ+xH8w0tza2pLocnd3F4lEAu+++6445na7XbJEdDitVqsMvmltbRWu\nhZWVFYyPj+ODDz4Qp3ltbQ3lclk4AXjNjMiIcQiHw5IpIwqfpTP2t7vdbuTzeWFOJLCRI225Bzie\nmKh/tqKxjY6At2KxiJWVFenJ573RgMZiMdy6dUvq7XyO3O/cO+wMoWNTq9UwPz8vKe9sNivsliw7\nqdksZg9IZqNpDUZCppnV8xYKBczMzKClpQXFYhHlchnb29vY2tpCqVQSJ12tq9OQ2u12vPzyy6JL\n+vr6JGvCrqKPP/5Ynj3R6+TwD4VCMk+Dg5EikQja2tpkyBUptIeGhtDe3i5kOgTXVqtV3Lp1C1ar\nFbOzs+JA0ZHhtQUCAaRSKRlylM1mxWEqFouYnZ2FyWRCW1ubTAHMZDKS9eFzVs+vaRra29sRCARk\nqBm7YNjbf5JA9lHLuYz8wMAAbt26hX/5l39BrVbDu+++i3fffRdf/vKXdZ/78pe/jB/84Ae4ceMG\ndnZ28J3vfAc/93M/J0rmSQsJUdg6RYNAI+twOBAIBLC1tYX5+XkAB+M+iYhXmchodCyWxmAOtYeW\noyaZsuTceNbZqtWqDH+gzMzMSMsMz8FrZatJoVCQSJ9pfUZXKvJVTZ3V63WJpNR0IXCQ+q1WG5Sv\nnH1OY8tMA6NxFdXP6IplBhpe8m673W7EYjHZlKQhtVgsGBoakgie6V+1F5d1W14/CV1UA1mrNYbk\n5HI5adlj6QM4qHGzf79SqQg4h+juQCCA6elpYUrjdbNtr6urSxdJ0HGLxWJwOBy4d++e1DcJwCoW\ni8Lpz1RtX1+fvCcVfOf3+4UchylYh8MhKU2+I6YpyV5GghE1gmDfOZ8XnS+ip2nk+exo0FtbWxEI\nBKQNUWU7Y8cGnUCikpmm17TGsCQ6uHz3+/v7mJubk+mDZrNZaqZsn6NTSWeFbGckOYrH4xgeHhbj\nzc4PtXUOgDBOMpqkU0QGuUQigXK5LPz+bDXjeqMRoBPN+2xra0NbW5vUzLu6uiTVy3ZbvvP9/X1s\nbm4K6JYOLY0RI3o1wuYaMJvNgq+hw8XMBjNQzNCYzWb5t91uF+fa7/fLM+HMAZ43nU4jn89LCYYl\nB7/fLw4tiXeYoeJ1pVIpXL16Vdp7gQbAlVgatoZSL6j7hJM15+bmhGeD+5nodepezhAh7wBBz9QN\nOzs7aGlpESczkUhgc3MTc3Nz2NzcFFZRcprQmbVarejv7xfsAMc0A8Dg4KBc6/7+vtAWs2y5vb2N\nUCiE559/Hr29vYjH40gkElhYWMD29jYSiYSM4+ZafJJyrisIh8P4q7/6K/z93/89nn/+efz5n/85\nvve97yGbzeJb3/oWvvWtbwFotCz9wR/8AX7v934P169fRy6Xwx/90R9dyA1chJhMJkmRq9zRNFi1\nWg09PT2iZBjx07tTSWqq1apwZvO4NptNwD6xWAzpdFpAPkADTc3Ul9lsxs2bN3WjIvP5vKSXNE2T\nXtWNjQ2pZc7Pz+P9998Xo0JADfEBTBczJer3+1Gv10XZ8z7UmiajCUYwu7u7uHv3LsrlMnK5nBhH\nAvKYNWC9jPVDGnqmzXw+n/SMOxwOwQMQlZxMJiXaYlqVBpTdDtVqFWtra7h9+zZqtZpgBebm5iTN\nHI1Gkc/nRcExxWe32yXdrnJe04FJp9NCjbq/v49cLodIJAKbzSbzvqlUisWijBzlMQlsokJRSWBU\ng0rlDEAcKCp4AHjw4AHee+89UYSssdKB4vETiQRKpZLgOtxuN9bX17GwsICJiQncu3cPd+/ehdls\nxtDQEBwOh0SuhUIBk5OTOseJRohkMyR+Io0vAHFS8/k8gsGglJw4VZBlAw5LYnRKRj92WajRFGcb\nsAOB5R06Cna7XcCs3Huctsbrcjgc0p5aq9UEM8L3QLQ4n9/e3h6GhoaEa4CMiHxPVPTM8AGQUhRx\nNXa7Hfl8Xowfz8W08OjoKHZ3d4X7gOWU1dVVcSYWFxelC0Q1/rFYTEpJFDpy7e3tgjgnoRO/29fX\nJ5nE/f0Gqx6BlOrQFvbKb2xsSI2aUSwNO8sAakmQojoYa2trcDqd4nxxnkC93hgaNTY2hnq90d3j\n8/nQ0tKC9vZ2SctHIhF0d3dLOTKdTgsYjgEMAX50iIPBIDKZjACYk8mkjHtWMyxLS0vS+bO7u4uf\n/OQnuHfvHm7duiVZJepJl8uFvb09oVDmcLByuYy9vT0p7xFkzPLV3bt3MTs7KxgA1WF7knJuNv3n\nn38e//zP//zQ77/97W/rfn7zzTfx5ptvnvd0j0S4cGlIWXujN0mv3Gq1YmJiQl52JpMRXupoNIpS\nqYQ7d+7o+su54ZhaIoqbCyEej0sKVwXQGAEbjLBocOmdr6+vw+Fw4OOPP5a6GY17JpORjUxvm45L\ne3s79vb2JAVGBjhGp+vr6zJDnAqMxpw9qew3Zduf1WpFe3s7ZmdnxWCSPaxYLErGQuWi9/l8GBkZ\nQSgUQjqdFqpWEm/wuNvb2wgEAtjY2BDaX6b6QqEQtra2MDMzI9gIGk9e2+zsLDo7OwWJzbG01WoV\nqVRKWNiIL2B6no5JOp1Gvd4gsrlx4wYGBwcFYMdOgf39feHoZqcAKZEHBwdhtVqxuLiIUCgkERX/\nz2iHzyWXy0lKfGNjA8PDw/jkk08ku6KmAVmTZhrc7/eLgmHE6HQ65TtMu9LJZC93OBxGNpsVbn4K\nS2vMIGSzWXFg2fnBfcLaNJ0pjlRlxsDlcsHv96NUKuHBgwcYGBgQcCRroIVCQVrE2KXhcDhQKBTg\ncrmQz+cxODgoWJdYLCbHIWkJAVg01OwjZ7RPQ0yOBK5vrqnNzU0ZjMQe9qWlJempX1hYgNfrFSeb\n65XCqNrtdmNpaUnW5sbGhnThzM7OYnR0FC+99JLsTZXMiGI2mzE3N4fBwUEAkL3FDMHu7q5gntSI\n+f79+9ja2pKhTQSlcnrg9PS0gFNXV1cxPT0tZajOzk6htyYWiV0xDBboUHi9XoyMjMj6U+dV0NlZ\nXl6WDCQH/XCYz97enmR26FSSbZOEPmTXXF1dxcLCAjweDzY3NwXcx4wHDT3BrKVSCZOTk6hUKpiZ\nmZGAqFQqoVKp4MGDB1hdXcXVq1cRi8Xw/vvvIxgMSvsndTJZGYmZYDmBpYaZmRkZQsU1oWbFnqQ8\n+St4CoQbnjU7bgYaRBp7u92O1dVVfPLJJxLdJ5NJxONxmEwmaV8rFosYGRkRJWq1WvHFL34RL7/8\nsnjTROHSGBFNqqJP1Y2u1sL5e0bpBLCQltRsNksvvQr8Ueu0JPzh31hjZK8pFfbGxgamp6clHa22\nozENxl52bga1DchsNgvmgAqMwKCJiQlRuurYUN4fe4KdTidcLhfa29sxMTGBlpYWXL58GalUSurl\ny8vLuHv3LhKJBOr1OmZnZ7GxsSFUuhzPyxrq7OwsNjc3pdxBvvG9vT3pUEgmk8hms2htbcXa2hp8\nPh/+8z//E/Pz8wIsI06BSGtG+JqmIZvNYnt7G7Ozs9KCub29LYOFVMAVjdnIyAju3Lkjtb+WlhZs\nbGzoUn+VSkVmnm9vb+PevXsADrI1BFVRarWakJcAB+joSCSCSCQiU/JaWloEaayuvVwuh0AgoHMg\ngQZDIvnx1TXW0tICr9crg3t4bJ4zmUxiaGhIOkDYTVEoFCRiJKL8q1/9Krq6usQBbG9vRywWQ19f\nn5QbOFKUrZHr6+sYHR2V6I+RFvvfg8EgOjo6BMXOvcKInRzxjPI7OzuF+plrn3z+ra2tSKVS0gLq\ncDiQy+VkJK+maejt7ZXMCZ14GgjVWHI6JI0LHT7qhHQ6DQBiOLe2tsQJpahtb7Ozs4Jn4QAmANLu\nyPfW3d2NbDaLtrY2HeEXS5dsX2WgoHYDMJqmI8Z7pL50Op1YWFgQvASvnc4094SmaVhbW5MBVdwP\nxF1Uq1UkEglkMhl0dXXh1VdflbKUpmm4desWRkdHZSDS8PAw2tvbAUBHU0tHmxgD7ltiKAjAbmlp\nkcwb14bD4RAiIL4TMpZubm4Kl4pKl/vMyD8lYjKZZMYzlU5/f7/OyHPhtrW1iaFlXU+Nxra3twXI\nwt5eZgKSyaT0mtLAf/LJJwI4UyM6KhMKlS7T10yLXblyBS0tLQiFQvB6vfD5fLpJXDSaKmsUDTIV\ns8/nQyaT0YFR2traBJDCkao07ASoJZNJOBwOQb1TaXBhqylrADIIhs+P41CJtmXvMgBRQru7u3C7\n3dITe+fOHWmZee6553SYg1KpBI/HI4p7fX1d6rxMwRk3HWuKKj8A05RsTwwGgxgbG8N7770nvcDs\nyHC5XHjhhRekPpjL5RCNRsW4M/PC2e18l8z+0PhduXIFL730ktwbFTfTxapTwPMXi0UdnS4Nw/z8\nPAqFgmQrYrGYDk9BLIbb7ZbUNYF4Dx48wMLCgqyXarUqCozn4TFo7NXefDpO7Nf+xV/8Rbzxxhu6\nmi7vWwWFMppWHQl2abz44osC0uVQFb4z7hO+V14T71tFsXNN8ryLi4tIJBIwmUw6dkJ2CITDYZn/\nYDI1SHdYylB5B2gAC4UCPB6PgGD5vgjAqtVqyGQyYni5PwnkW1xcxOTkJEZHR+Vd8v+qYSVYli2/\nrBMzQzU7OytMfw6HQ7IaBAKyK4T0s3SoXC4XRkdHBXekYol4L93d3ZJSp87iO/zMZz6Dvr4+KTsy\ni2Cz2aQs0NXVhQ8//FCygCTvoWM6MjKCarWK1tZWjI2NYX5+HpcuXZIWQM4J4PfYGXHjxg2sra1h\neXlZnlUulxPHfnp6WiZSVqtVeL1eoWlmwMNAj9P2iEEhQJABFN8J1ygxWyTZYmbiZ6Im/7Mi+/v7\nePfdd3X9kmpESePPzab2/A8NDcFisSAajWJ3d1d6k1999VWZ6kUnYXV1FZcvX8Ybb7yBoaEhTE9P\nC280a2E2m00oE7mR1tfXZbGWSiWsra091HdK58DpdAq4i0AjtgkRpBYIBPDKK6+IEd3Z2UEmkxFE\ncSgUgs/nw9ramnDQEyFP40wFzOMzrU4jr2maAFH4HJkG17RGP7vH45H+bbfbLUhVKm1u/Fgshmq1\nigcPHugoXrnJgIPhISpXOADpl+d7VtkYibegwqHzYuxIIDrd4/FIqm59fV2civb2dknPUam3t7dj\nbW1NjDnxCZrWmDsdjUaFA4Hvka1bZMDjGqzVGmN6ObVvcnISmtbged/Z2ZFIi9z1BGmy3MEIWTXy\nnZ2dwsrIta22hJKoilEVU/J0qFQjBkCwHHTouEdYTlF5J7iP1D3GUpRq5LkGSDjCvcj1wM/yu8CB\nkc9ms+jp6ZHzMFtHzAAjT/b8Ly4uYmlpCeVyGZFIBJcuXRLnnc4ha8kLCwu4f/8+yuUyUqmUdDsQ\nuAVAumj29vYEO1OvN4hfQqEQdnZ2hP2Ohk0dSMOImBgMRpi1Wg1zc3PiuHM879zcHObn5+FyuVAs\nFjE5OSktckThc38Gg0Hs7OwIQG1rawsdHR2C32C7HjuEaNB4TVyfu7u7eP/99/HgwQOsr6/LgJuW\nlhYhtaKTura2BpvNJh0tpPAlcJJ6jJ0OBLlRL3DNrK2tIRQKybvmsBgV/8JnzfWWz+dx+/ZtafXs\n6OjQ0SoTRDo5OYn19XV8/PHHmJiYEFAwAYTsJtrc3MTQ0BDi8bgY/Uqlgg8//FCm2DE7+szIPyVS\nqVRk8RNlqrbEUeG63W50dXUhHA7rpnUBB8Q309PTKJfL6OnpQVdXFzKZjIC3qEiYigKgI1lg6o3o\nei5SIlxptFOplIwHNdbyuahYY2TqsbOzE6lUCtFoFG63GwMDA4hEIrh9+zacTqe0t0WjUXg8Hty5\ncwetra2CPiY4RkXSAxAvnc9IzT4QYc5npP6f4C+XyyWtNaVSSUoIKgiQJYDZ2VkEg0FJl/EzajRH\nxU8WP0ZuAMQwUPx+vzgB1WoV//u//6uLjilM4wEQemAqefZGqxkfOhxMizJyIgCMhp2f5e8YUTGd\nGYlEZEwrIw2SBDHF+MEHH4hyJgqYjhadHkatnM/Ad7C4uKhzAIhsZ0nGZrPpqEn5/tRjqKUjn88H\ns9mMjY0NeL1eUeAWiwVOp1NXQmDUvr/f4FpnepcjiDVNk5IF1zfPzY4Os9mMUCiEnp4eea8EBPK5\n89lyRDSNRDgcFicIgMy8JzaBa46Gg8dzu90C+CQQr1KpCNiPwvsmz0Q+nxdQl9lslrIAhxWx5YzP\nlXgB6p9isYiPPvoI//Ef/yH1a4Jc6/W6OJmMRBcWFqQOv729jfv378s6Z1say2UWi0XmtO/t7Qno\nlzMoWL4y6pqpqSmMjY0JEHdiYkLeO/UD19nIyIh0irS2tiIcDqO3t1ccIToDHJzFjAOdw42NDcmU\nEHPicrmwubkprYI01FNTU3KtAKTc1d3dLal0llxYww+FQhJEEMza0dEh+o3H6+vrQ29vr+x77glm\nDBksqMDtJy1P/gqeAiEyky+OG8HhcAjphMViQTqdRn9/v3juFPa8X79+Xcg2GDXv7u5ic3MTxWIR\nnZ2dEj1zAZLyUt083KyqwQQgNfLW1lbs7u4KiIeGgn2cRMHyugEIo1Q8HhdUMQkgqGxJ4sPUeCgU\nkhYtbjZeG9BQuOz3LpVKMJkaw0wACHgJwEMLnRvDZrMhHA4jEomgtbVVFI8azVBJswWNwC2mS6n8\neR7WxAl8pOHksw6FQhgcHMTw8DCi0agA+dgm1tnZKcdTJ55Vqw3+b5/PB4fDgXK5LINQqNTUd8ia\nHg3r1NQUenp6sLOzI2UEPkMCMOPxuEQ/ZOpS8Q21Wg2RSATRaFQySqurq6jVGj3pMzMzMJsblMqh\nUEg4Bhhd3bp1Sxxa1UATzc4uCwqdLTpH/LcxmqfCHB8fh9frRSqVEtzF/Py8GEcqTEaGL730krRL\n8XdXrlzB66+/LtFroVDARx99hLm5OXR3d0umZXx8XBj1VAQzHRNmpfh3OmAc+kL2PZW9kpPuiKa2\n2Wy4e/cuPv74YznOxMQEzGazbvLaj3/8Y0xNTcm7oE5RnTuW7iwWy0PtsOo+Zwkrn89LRB0OhwXT\nQkOoZkH6+/sRi8Xk+xQy7pGRz2q1Stujx+ORDBCBZqurqzJam+8/FAoJdwAdFZYDtre30draikgk\nArvdjoGBAZ0Dvre3h+7ubsRiMbjdbmxubooTYLVaxeEhLocT5er1uhAasS303r17WF9fF4wNeSdC\noRBsNpuUl8jQSI6EQCCAzs5OZLPZh9o8CWANBoOw2+2SEaHD6PF4BJRInU3nlEIcBRkSSfakcpw8\naXk6ruIJiwpWoUfOuiInHDHtqE6KAiApVKARDTAbADSiFdKZkhyGBoJAEkbv9PqozGlYKPV6Y2wp\n2dPW19dloMuDBw8wNzcnA1GoYNQhG2pamBEAQXNAIxJj6WBjYwPt7e3C7MX2QtXIU0mxVkljyb9x\noAWPzfMzZV+tNhjAGJ2zV5cevTGVazabBRjI1him+wCI98zaGdOTAIScKZVKIRAISD2YSH7WblOp\nFF555RVJO9Pwq/3rRFJzNCujc5PpgFikUChA0zQZYRsOh7GysiKAr3Q6LUAsGqK5uTlB7vJ4brcb\nMzMz2Nra0rUMEcW9uLgoNcm9vT3Mz88LytdqtcoAHT4LAgv5TLmGuc7Y5qUacbXsQ9wCr5n/5nr2\ner3IZrPw+Xzw+Xy6QU7hcFja6IhyTyQSYlBo5AHoZl+wPmwymaTeys+pa1CVtrY2wVrQ4VY7UvhM\nuru7cfXqVbnOSCQioMre3l643W6MjIzI++Q629vbw8rKCqLRKJxOpximzc1NmbWu4lfYpkgQm9ru\npqaV6Uj5fD5cuXIFXV1dCAQCKJfLwnOwv98Ypez1esWRUp8BjXw0GsVzzz0n62V/fx8zMzOiN9g/\nv7GxgaWlJczPzyObzSKdTsvzJeaB+BQaznK5jHw+L+OTWf7j59XMFttnu7q6MDg4iMHBQTidTun1\nJ6CXgEX2tbMVmf3+mqZJ/3lfX5+MzKbhZhmMTgqPUygUpDVPxRZwH7z11luIxWLCTU+8SzQaFWeM\n71cFPQONDNPS0pKMw02n03jxxReFftv4+Sclz4w8GpuLiGBuCBoBY0QMPJympFIxmUzo7e1FoVDA\ngwcPkEgkBAnN9GowGJSWDnUONRcFKTtZ+6bB4WbTNA1jY2OYmprC0tISPvjgA4koi8UiYrGYRPLV\nahW3b9+W/lvgAJ1Px4XDF2w2G+bn5zE2NibKUGUGI2kO04fqs1DHr/J6mYpX8QwAxBOnU8XWH5fL\nJYhrXhuVH7MqpVJJ+nn5jugM0Ojv7e3hJz/5iYzP5T2zp5pGhdeeTCYFN9HZ2Yl0Oq1j12PUzOO4\nXC5pC/R4PDJjgEh+RulU9Lu7u+IwZbNZ9Pb2SuSjGkxSo/I8JtPB3G2OouU1t7W1wWJpcKDT+FMR\nq62O/L3J1CBIYlcBACnD7O7uYnR0FFarFbdv35bMEP+jw8joa3NzE/Pz82LAVDAZRyBfu3ZN50DS\nSWDal4yEJGdR73ljYwORSAQDAwNIp9Ow2+0IhULSbz40NCTZm8OMPB1S3rvX60Vvb6+cg2h6ri3S\nvobDYd3c9UwmI+lXZogIrGVnBQGOBEzm83l0d3cDgExvq1Qq2NjYQHd3N6ampnRo73K5rCMG6uzs\nRCwWEyAcn7vH48H8/DwqlYo43W63WzKNFBphdrWMjY0hHo9LORE4wKnw3fb09MDr9SIcDuPatWuy\n79QyF58JM1ALCwsoFovw+XyIx+NCCKQCBfkuOISJPxOLw0xcrVZDZ2en0PTS2eIaXltbQ19fn2Rn\nOG2RWBm2+HJN7e/vY2lpCW63W1L5bW1tOtAor29ubg6VSkVmE9RqNWn3dTqdumCJupOtiXQuxsfH\nZf+xnMDuAWM29knIMyMPCPqVLSBMT9KQs3eWYgRmMe1MY7Szs4MbN24ImUu5XMbU1BRGRkZ0YLXP\nfvazun7p7u5umRW9ubmJcDiMkZERWK1WZDIZUVJsfcpkMgCAjo4OiVyImmYUZ7VahTyFm4/KmxEe\ngSOMLlXvmCUMv98v90gazWq1KrSgBH3RGJnNZslSqNGa6rCw/ry7u4u2tjapgTIS5cbh/Xu9XmFB\n29jYECVRrVZlIp2maTKXntLV1YWlpSWMj4/rAFyqcaAiV9ua9vf3Jf1XrzcmZ9FwZTIZcYbo1JAC\nlKCk9957D5qmSSQRDAZFWarOnRGzADRKC5wmRn55IyCLCHMAUuckKEpV/HzWqVRKHAmOeSbrJPuA\n0+k0Njc3pT+ZqXyuBa6d+fl5eY8EJKr4BzVVqTqovAdmV9SonFkoOpeapuHSpUvw+XwCTo3FYjqH\nx/jc+LN6Tl5PV1eXTMAjlwWfg9lslvXId0RndmVlBaFQCNVqFWNjY0KCU6vVsLa2hv7+fumeYLsg\n3zHZMDm/XKWjNZkaPAaVSkX2KIGpZNKkoYvFYhIBq1Ei9yHBjXt7e6hUKsIQZ3wmLFlwD7/22msI\nh8OIx+PiNNP5VAHI7AxZWFgQw6mWr9bX13VOJf+9vLyMqakp4cLf3d0V9lDqjFqtJsGVmp0jzwH3\nKsG3H3zwAUZHRwE0qJfn5uYQj8eFzpctzlxvnAfPd8L3DUB0hc1mg9frRSAQkHujDpibm0Mul0O5\nXBag6tLSEorForxDtSuInQwqDfiTlGdGXhG2mxBEQS+Mm5SippIBSK2UdSYucPb81mo1mRX/7rvv\nYmFhAUBjKhsNLPtINzc3YTY36CwZYaiRGc9PMAjZswDIBh8cHITdbpcRjgAeMvJMA/v9fgGakcVJ\nrS9ns1lEo1HpJ21pacHY2BgKhQKWlpawubmpG/lI54BzqavVKuLxODKZjM7DZ42QIDL+nq1BdKS8\nXq+kMROJBIaHh7G9vY3JyUmJBtT+fbWUYjKZxBMvl8tIJpMCsDKWBPgz04ds02I9nUNtaJxVFDiv\nnTMZiLTldRAhznQt71ON5FVhepNKf3t7W4iaqDTUcxNAx8iD/dOhUAgejwder1c+T5An28Q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ZxvpvCBBikJZ3qrpRly3lNUelN2VGR+2mXg9XqFXMcoKmaAyp4pW6Pjqq6NQqGAlZUVQSHzu/wM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\nQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1211e90b8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, axs = plt.subplots(ndim, 1, sharex=True)\n",
"for dim, ax in enumerate(axs):\n",
" for vals in sampler.chain[:, :, dim]:\n",
" ax.plot(vals, color='k', alpha=0.2, lw=1)"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {
"ExecuteTime": {
"end_time": "2017-11-21T04:59:05.808558Z",
"start_time": "2017-11-21T04:59:05.803379Z"
}
},
"outputs": [],
"source": [
"burn = 100\n",
"chain = sampler.chain[:, burn:, :].reshape(-1, ndim)"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {
"ExecuteTime": {
"end_time": "2017-11-21T04:59:36.015735Z",
"start_time": "2017-11-21T04:59:35.719726Z"
}
},
"outputs": [
{
"data": {
"image/png": 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8c/Lz8wG44YYb+Oyzz7j00kvV/bZt28b999/PFVdcgU6n4+2331ZvTtnZ2Tz0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\ngg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11ed5d128>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"corner(chain, labels=('m', 'c'));"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Skopt"
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {
"ExecuteTime": {
"end_time": "2017-11-21T06:07:58.772168Z",
"start_time": "2017-11-21T06:04:18.859610Z"
}
},
"outputs": [],
"source": [
"n_random_starts = 10**ndim\n",
"skresult = skopt.gp_minimize(cost, [(-2.0, 2.0), (1.0, 4.0)], n_random_starts=n_random_starts, n_calls=n_random_starts+100, callback=skopt.callbacks.DeltaYStopper(0.1))"
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {
"ExecuteTime": {
"end_time": "2017-11-21T06:08:00.935223Z",
"start_time": "2017-11-21T06:07:58.774861Z"
}
},
"outputs": [
{
"data": {
"image/png": 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ASHlSiH1HH2L2J1Yt8noKw8GhdiaeDAmFQsybNw9r1qzBqFGjkJycjBkzZsDW1hbff/89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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1243c0630>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"skopt.plots.plot_objective(skresult);"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"hide_input": false,
"kernelspec": {
"display_name": "Python [default]",
"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": "3.6.3"
},
"latex_envs": {
"LaTeX_envs_menu_present": true,
"autocomplete": true,
"bibliofile": "biblio.bib",
"cite_by": "apalike",
"current_citInitial": 1,
"eqLabelWithNumbers": true,
"eqNumInitial": 1,
"hotkeys": {
"equation": "Ctrl-E",
"itemize": "Ctrl-I"
},
"labels_anchors": false,
"latex_user_defs": false,
"report_style_numbering": false,
"user_envs_cfg": false
},
"toc": {
"nav_menu": {},
"number_sections": false,
"sideBar": true,
"skip_h1_title": false,
"toc_cell": false,
"toc_position": {},
"toc_section_display": "block",
"toc_window_display": false
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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