Equipartition_Notebook-Copy1.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# For things to work smoothly, we need to import kmedians from the local version of vq, or replace your scipy vq.py file with the one in this folder"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "/home/michael/anaconda3/lib/python3.6/site-packages/scipy/cluster/vq.py\n"
     ]
    }
   ],
   "source": [
    "from numpy import array\n",
    "import inspect\n",
    "import subprocess\n",
    "import shlex\n",
    "import numpy as np\n",
    "import scipy\n",
    "import scipy.cluster.vq as vq1\n",
    "from scipy.cluster.vq import vq, kmeans, whiten, kmedians\n",
    "#from vq import vq, kmeans, whiten, kmedians  ## issues with this\n",
    "import matplotlib.pyplot as plt\n",
    "import os\n",
    "import time\n",
    "print(os.path.abspath(scipy.cluster.vq.__file__))\n",
    "colors = [\"#2078B5\", \"#FF7F0F\", \"#2CA12C\", \"#D72827\", \"#9467BE\", \"#8C574B\",\n",
    "            \"#E478C2\", \"#808080\", \"#BCBE20\", \"#17BED0\", \"#AEC8E9\", \"#FFBC79\", \n",
    "            \"#98E08B\", \"#FF9896\", \"#C6B1D6\", \"#C59D94\", \"#F8B7D3\", \"#C8C8C8\", \n",
    "           \"#DCDC8E\", \"#9EDAE6\"]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Create Data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "PATH = 'cart-1.2.2/'\n",
    "N = 50000           #default number of points to draw from distribution\n",
    "dist_type = \"HOT_gaussian\"\n",
    "\n",
    "dimx = 512\n",
    "dimy = 512\n",
    "pixel_gap = 150\n",
    "plot = \"'True'\"\n",
    "\n",
    "\n",
    "# MAKE SHELL SCRIPT \n",
    "file = open(\"dist_gen.sh\",\"w\") \n",
    "file.write(\"#!/bin/bash\\n\") \n",
    "file.write(\"python new_dist_gen.py -N \"+str(N) +\" -d \"+str('hot')+\" -x \"+str(dimx)+ \\\n",
    "    \" -y \"+str(dimy)+\" -p \"+str(pixel_gap) + \" -P \"+str(plot)+\"\\n\")\n",
    "# for different sizes and distributions, check help doc on new_dist_gen.py\n",
    "# file.write(\"python new_dist_gen.py\\n\")\n",
    "\n",
    "file.close() \n",
    "\n",
    "# MAKE EXECUTABLE\n",
    "p=subprocess.call(['chmod','a+x',\"dist_gen.sh\"])\n",
    "\n",
    "\n",
    "p = subprocess.Popen(['./'+\"dist_gen.sh\"], stdout=subprocess.PIPE, stderr=subprocess.PIPE) \n",
    "p.wait()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Show Distribution"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
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lEfmgiLxJRF5eSnnpadcjIvKp0+vnReTVIiKn/b9LRP7pEp29hnZQroMH54GuHvDu5a71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\nRK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f08fc21dfd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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1kGkBAMA8ZFo4osyBaH2HXrnISAZEr00r6yKbpZHph3esLpu5BvpaZzIGojU/\nelkic3mPe43WBFmiP73PaAkELAAAAADsxa6DFtHgbXRBxd60jZY3IM6WjwIOmWkqS2YCZGWeKjIa\nSOmZM5VCT2/pXd9ewCfzeU9ZW2SNsvBxHQEAAIBt2XXQQhvNXLCOE+lnR3gD4kz5qYOm0QH8eaCd\neeLGSPaEt/7HGoNBq89LBWxG16Tofd6jdUaLn06te62nuuxpoE+WCgAAALAth1jTojVnvn+0FkXv\nCRvRYp6ZhTIza2BMHbhnrsm1nnChr8HomiHRNq+tzBofrEcxZsp5XeNa7PX64zhY02IdrGkBAMA8\ns36j1Fqv/u8Nb3hDXcOj7/qxcJu1f0695+1evVF72b7o/rftzq3Pqt8qr9uMznvkGkd9iY7JHjf1\ns4/qW+v7NNWUupZsH8B1icj9uoH/X9/bv7V+pwAAcBRzfqPsenqIt4bCGosqtnVnpgeMTOfwMi4y\n5XqsRUJ1hoh1jM786D0+Va/70Jbz2utNmbGm4ljn5B1nbe8d1/71poUssXjrVFPqIrNg3J6mxAAA\nAACbNjXaseS/NTMtorv/0d9sRsNIX7y6e8dk32f7MIfVh6kZEiPHTM0gmHvOczIplmg/08ac/VgO\n1xpbIGRa3NTvFAAAjmLOb5Sr/xCoF/4xMDqgzgwKM9MippaZWqf3d6m2vbqnBCyyLj0oZBAK4NYQ\ntLj93ykAAOzRnN8ou54eIpJ/8oc3taKXOu89+aM3FcSqO3rqhjWlwWvDeipIb5qGxVoEU7eh+zVy\n3qP96D121Prb60tU38jTO3r9AgAAAABMMDXaseS/Ne9gLL34YqZMdsrHlIUrR7NA2tfZ9jILfM5d\ndHNE5jyyx44cs0R2zFYssQjskm1usV5gD4RMi5v7nQIAwBHM+Y1y9R8C9cI/BqY8+cN7UkY0sO/V\nl51a0VszYu6UkiXW68j0o1du7pSRaBrM1EDLpa7JyLFrr5NxqYDAJdb7uLa9nx+2iaDF7f9OAQBg\nj+b8RikPj7+uNZ9/3qb5R0+m0E/DsI6f07bXn6gtPQXDOpdsX3tPzOhNvbjUEyaWerLLrbrktV7a\nLfcd2ItZz0CHa83fKQAAHMGc3yi7X9NCP8LTWoPCe7TneZ9mrTnhvY7WWOit/9CuR9EGLqJHfXrt\nZVjrXWQeDzrSVlQ2G7AYWZdjzjFW39Y2ZR2Nray1MfWRrxmXXhuEtUgAAACAbdh90KKVCQx45fQx\nUV1WvTpTwgo46D5EC2H2zq8NcLTtRedo9cEbiEYD1GgRTGtBz/ZvdtA+urDo3AyAa2UQZNqNvhte\ncGmJ8xkJ9M116etPxggAAADBctFgAAAgAElEQVSwEVPnlSz5b+2FOL11HaJ1JfTaFe3r7GNFo35M\nfZSqV6bXR32c16cl1mFYci2IqQupLtGPuba09sSer8Wt4BrgEoQ1LW7udwoAAEcw5zfK1X8I1Cv+\nGIgG7VOf7LHm00racqMLcI62MRLYmLrA5dwncWSvdTYYs1TQ5dq2FCzBOK4x5iBosa/fKQAA7MWc\n3yi7X4hzRDQd4iyTNt5bMLO3PSqbmUYxmtruLVCa6VtmvzU9Jtpu7evVPWqNRSNvpc4l2mPRTWCb\nWIhzHVv5nQIAwK2a9RtlarRjyX9r3cHIPs6ynVKRnV4x9678Uo/4HKl/bmZD5ri52RJL1T0lq2Sq\npe+Mj2brrNn+lP7gMvgsYBEyLW7qdwoAAEcx5zfK1X8I1BV/DGTWnvAGrXMG+JnpD711NKJ6s22O\nBgCWCGpE62xMNTWQMTcAMmeKzdxjRo7NBLIY4ALHQNDitn6nAABwFAQtEuYONkcyLkYyPDJ9GFlH\nYk4mRq8PI3VNybhY647+6HohS7V/rUABAYr92fJnuuW+HRFBi9v9nQIAwJ7N+Y1yiEeeRush9B4B\n2r62yluPMM0+ulSv7xA9htTrm67be6Rq73Gu3qMxrX7rcvo8vP71WI+M7en1e4T3GVptZh6PG12z\nJXmPo70V2Wuy1LVb4zNY25Y/0y33DQAAADswNdqx5L9rrGmR2a/LRhkH0VM25mRe6Hq8jIvRKSnZ\nPnrHLLWmx2iWxsj1mtKnkYyS6Jov+d2bUn4Nl8p+2cK5rm2JqViARci0uKnfKQAAHMWc3yhX/yFQ\nL/hjYGRNiGwQILseRaZfvQCDd2xmWkN2MD8yFcU7vld/tD0bWJkyzWYNc/pklZsbDBqxlYHyUv3Y\nyvkA10TQ4rZ/pwAAsFcELRKsAWUmcyGqp1duSkBhymB8NPsiK9v30brWKLvknevRIMg1BstLBYeW\nzgg5Iq4RtoSgxe3+TgEAYM8IWjjawIH+lz022q/baLd7ZZYKKEyRmVox5ZjR7ImRflrtzM1OmBKQ\nulTQhgHwth3x8zniOd8ygha39TsFAICjWDVoISKvFpEPiMjHReQZEfnTp+3fLiK/ICIfOf17vDnm\nSRF5VkR+RkT+UK+NS04P8bIfomkf2cF8L8jRy4rovfbatfrt9bVXR9T/3vbe6znZCXOCBpcIEF17\nYDdybaf0dYvZJABejKAFQQsAALZo7aDFK0XkS06vv0BEflZEXnsKWvxZo/xrReSnRORzROQxEfmH\nIvKSqI1L/xjoTSXwAhjZOpccnGfrymZRRBkLc/XaXbpNL2iTCURl6sxmo8y1xLWJAmK9dqe2d2kE\nMYA+ghYELQAA2KKLTg8RkR8VkbcEQYsnReTJ5v37ReRfi+q8xo+BOYEFr4659fQG4V7bvbp6g2Jr\nQJ+dFjISBBkN/ix17NTya2UkXCOYkGkzE/S4VuBgzvcCOBKCFgQtAADYoosFLUTkURH5xyLyO09B\ni38kIh8Vkb8hIr/7VOa7ReSPNcd8v4h8bVTv2j8GeoP17NSHKKgwNQgSBSx6r6P92aDFWpkDvfOa\n2+7oZxftj9rItp39XPZqqfPb+3UC1kbQgqAFAABbNOc3ymdJUinl80XkR0Tkz9Ra/5mIfK+I/H4R\neZ2IfFpE/vNzUePwatT3RCnlfinl/oMHD7LdWNRzTz3+W/8ee/Lp3/rX7m+3nd+LiDz25NMvOP65\npx5/Qd1tPZn3Vt+i11Y/9fHnvp9ft8da7ff6FJXT1+nclnUN9TmNtK/rWYLXrteG95lHx7evp3w3\n2u/dUrzvQdQPz1KfxyU+VwAAAAA3JBPZEJGXycNpHt/q7H9URH769Hoz00MyUzbmZC7o/ZmMhl52\nQGbaRZTKn51i0ssasaaLZLI/enV4563bmDrVY4nshl4WxxqmZOcs3d7S53vpa3huEzgyIdOCTAsA\nADZozm+UTMCiiMgPich/qba/snn974vIe06v/yV54UKcn5AbWogzO9UjO50jamPKGgLeQDAKYmSC\nINZxlqj9OdNkvH709mWuobd9dIrIlM9raUzDGHOU8wTOCFoQtAAAYIvm/EbJTA/5MhH5ehF5cynl\nI6d/j4vIXyml/B+llI+KyFecAhdSa31GRN4rIh8Tkb8rIt9Sa/3NKVkgc1lTPvQ0CV1e5MVp/aNT\nR9q69P62fW/qRHQe7XQWr8+6P5mpDLqfejrDyJQQ6/wzqfrWNWr39V5b789tW9u974FXJtNWrz6v\nbPaYJdtcq/yl6spYcroJAAAAgCuYGu1Y8t+a00N626yMhEydveO86RZeX6LpGFOmuGRYGRjZjIxs\n29H+XoZHdF0zZbN9bI/vtTmnfq/OLWQDLNGXLZwHcHRCpsVN/U4BAOAo5vxGufoPgXqBHwOZwXH7\nOhuQsOrrBSoy7WSnWGSnmFjHeedh1dsLBnh/M/3MBHSi99Gxo9cz2/fMsXOCHLcWOLh2sOIa03SA\nrSJocZu/UwAA2DuCFh3ZjIHe9ky2RG/gmg0GeIP6kewNr+6ozSnZD7rsnIyHkXJWeyPtZwILU/sy\n9xpk2rplc/t/6+c/6mjni+kIWtzm7xQAAPaOoEVC9s783AHzSL1z7+pPGSBPyT7I1DtSz9Q+LBH0\nGM1OmXNOmfLR/jUGqlsb/K7VnylBp7VsoQ84DoIWt/s7BQCAPZvzGyWzEOfN0gtYWosp6oUB9YKa\nVplogUu9WKf1WvfpvC2qr7fwpm67t8ioXqjTOkYfb5XvLazYfgZeH6J+t9uthT5H+h0tyGn1I/N9\nsc5phNf39rswd/FK7zu5pDUX2Iy+E56pn8eo7AKzAAAAACaaGu1Y8t/aC3FmpnhYZbxt2Xaj9nTb\n+rV3/JxMiUy7mekVI9kKvWk33tSXqO9Re719PUvcFZ86RecSRq7j1txSX0fs9bxwHUKmxU39TgEA\n4Cjm/EbZdaaFSP9Rnud9VlZEu926464zCKIMjUxGgsXLLoju3kZ9ao+3Hu3q1a0f1aqzAPR7fW2t\nx85a+7xsk+iRrvo8e9dGv/eySHrHtcf32tF975mSXZAp18vQmVP3WnqPBLbK3hIyMQAAAABfeRj0\nuK67u7t6//79Veq2BjzelJB2wGoNpr1jdTvWa6t8drASTVPoBQ/0ObZlovqtPkztf6/81H1T22v3\nW4EsbyrR1LamHGd9H69lSvvedV2ibgC+UsqHa6131+7H3qz5OwUAgCOY8xtl95kW+m6+FwCw1jVo\nj2/Leesi9PpxrsMrb2VIROsweP3K9NPKEokyRqLMDN3fkWyAXkZD9rhse+e/3uc1uhZCJjjiiY7z\n1kOZ0s5cSwQVetcbAAAAACy7zrTQmRL67rW1r5eFcT42c3c+c3fZGmxmsiXaclFb7X7rOL1fX4sl\n747rekemMHj1tcdMzQiw2rQ+o8x3wKojm8ly6QH80m2ulZ0SXVv0ca2OhUyLdZBpAQDAPLN+o0xd\nDGPJf2svcNVbCDKzuGWvTG9hy0wfsot9ZhavHH20pz5Hr//R+eg6rDYzi2zqbXPPJepPb9+cNra2\nqOfIY1S3vJgoAJ+wEOdN/k4BAGDv5vxGufoPgbryjwEryGANwKOggnf8SB1eYGJ0gDvyZA3vaR+Z\noEOvXK9PU+sbDSpkP7up5taxpcH9pfsyNQgEYDqCFrf3OwUAgCMgaBHIZAZE2RN6W297ZpA+NfCQ\nKW/pBVOsNjNBjZF9kTmZDlOuQybrYkr7UwMy1xysj/Z5qb6OXPsp30XgqAha3N7vFAAAjmDOb5Rd\nL8QZPXXjvJij9/SP6Mkh3roMepFLT69P0VoIUb/b99a1aPulF9b0nnIS1anr1q+991q0qGfvuOjp\nG/q9twZF9FlHdNvRWiHe/ugcphhdpDS7gGyvzdH9I4vZsognAAAAcFy7DlqIvPDJF9mFH/WTOHp1\nn19nB2feYNxq1wqUZJ4sYR1vXQerrswioV7frXPwgjT6vW6/7Wv0+VlPBen1ofcklN7nZpXLLKpq\nBWQ8vbKjgZyozmygIxNsiAJgI5Z4IsqaT1UZtaW+AAAAADdjaorGkv8uuRCnN6XDm0YSvc/UGx2b\nSc2fM5UhM63FWmsj6ueUqS3Rvmh6ypTpKqNt9o7Nlpu79scax+k61pzasSVb7x+wJmF6yE3+TgEA\nYO/m/EbZdaZFNOXjrL0zHWUYWHW15b070HpaRlR3dEd9NE1/5JGcbV+jrJPz+6j93pScth5d1sum\nsD6XXraG1TdrWo+XdWJ9X6KpF5nshihbxDsmqjszFcSbDjRHJgvlmpg2AgAAAOzI1GjHkv8ucQcj\nu2iil91g3a3PZCBEdUXlegtKetkhcxYzzCzKmemXd169a5Dtd5Qp0jtuTkbE0hkbXnkr02RqPVON\nZAFdUu/7BxydkGlxs79TAADYszm/Ua7+Q6Cu+GMgM1XAet0bfHvH9MpmBqIjUy2s9qPt0XQLKxDi\nDZ5H6+ydZ68vUbmId+16QYKo/1MGxiPHjAZVRgbxmQDaLbnlvgNrIWhxW79TAAA4CoIWAS9g4A28\no23tsb07zd5gPxsA8I6z+uGVybRptZ09R+/4Xjnv/KYOQkcH+ta2KQElvS8TQFh6oL1UfVsMAGyx\nT8DWEbS4vd8pAAAcAUELRzQYju7iR1kG7evMHeuRTITRoIM36PbaHg2yZM7BKrfk/t5n6NWTCUBl\n+9WT+Ryzx6/Vxy2Y+/0A0EfQ4rZ+pwAAcBRzfqPseiFOa4FNa2HCzGMorUUUrW1tXd6im9aCldEj\nKPWilfq99ShU3T99vnqB0HMZr/22Dr2w6MhikNE18RYz9R5Zay2w6l0Lr3x7flMeR9r20aoj87hS\nazFYq+9ZUxb7nCvzPeidwzUW0LzUAqJbWqgUAAAAuCW7Dlqc6WCF3qZFT7SwBsiZp3B4rCdtRAEM\n/brtgxVM8Abv579RoMILMERPE8n0fSQ4YLXfHm8FanS57NNPrGCQdy7RdcsGIbzAz5zrE7XZyj7l\nZaRN75pcOogyUs9ooGTNzwQAAACAYWqKxpL/1l7TordWRLSeQ29ahzd1wjs+swZF+9dqN5q+4bUT\nTYWJ+hOdS6bvXl+j46NtvSk23r5eOW9b73Pu1Td1SkRvuki2njVNmSq0RD/nXlP0ca1ulzA95OZ+\npwAAcARzfqOUh8df193dXb1///7i9VpTKPQ+7++5zJmXeRBN8WiP08f3jrPKeecYldVTM/S56esT\nTVvpbbeut5Xt4J2HdY2iz8M6j8x59855Ki97Yam77NH3WZcTia959nPJ9ifatjVL9DFTx5x2Ro+9\nheuOyyilfLjWenftfuzNWr9TAAA4ijm/UQ4xPUTkhesZWANkET/o0O7zphroKSLRwNjqi1Wn7ps1\nBcQqo/uk27WuiT6Htoy1XkNvsGpNsfGCM9H0CqsvvWBINPXB6ks2gOT1OZIJHGS+h7qu3jSXKIAV\nlYn62etfr19rGZ2yMeXzjuqYUyZzbKaPBCwAAACwW1NTNJb8t/bTQ7JlM8dknrLhlY2mdnjbvCeE\nRFNbev30zrM3hcQ6vjcFxjuH3rWJpsBkrk+vjujcejLHZL4bI/WOTLOZUu5cdrRfS/cBwDzC9BAR\nkbeKyM+IyLMi8q6g3NeKSBWRu16dTA8BAGCeOb9RdptpkclC6GUOWGWtrIMzK/PCujtuZR1Yd1Oj\nzASddRAtgqgzLPQ0g8ydXH2+vYyI9q/eZ2VMnPdZ2Se6Tu+a6r5G+6xMDavc+bX1HdD098mbXtTL\nVIkyfqLztozcgdefSeZ8yQIAsCWllJeIyPeIyNtE5LUi8o5SymuNcl8gIv+eiPzkZXsIAABG7TZo\n4QUQegNaPeD2BpB60O4FQfS0BN2/NujgDZp1nXq/Pi8rMGCdjzf1wzpf67UVCNJ99uh9VqAj6pNX\nhxVIsQIeVjvR9IsoAOLJTA05v85O/RhpY4T33ey1vXRAYup0DQA4eaOIPFtr/USt9TdE5D0i8naj\n3H8sIn9FRP6/S3YOAABMMDVFY8l/a08PsaYjtH/1MV49vTJW+WjqRNSnzFSPkaklXrnRaR2ZY0eu\n4ZQpCd60FK9s1E7U7sh0jaiN0XqyslOBptZ7qeMuXSewZ3Lw6SHycMrH9zXvv15EvluVeb2I/Mjp\n9QeF6SEAAKxuzm+U3WZatKK76+fX1gKXvQURrfLW4pftPl1H+z6aImJlZOhUfqsfVv+s9q1zaY/X\nd9WjTAlvOko0XaTtXzRNoz3GyhSxyup2vHqtvrVlepkjXhtRNsLcxRqtLI252QqZPmWmsCzhSFNL\nrpVlQnYLdqYY237rMWmllM8Ske8UkW/rVlTKE6WU+6WU+w8ePFiwiwAAYMTugxbedA9rcK3LWfvb\ngXUvpd+aimFN5dD98vrU9kv3UQ/i2/UhvPr1dBhvyosVePGmxlimTndozy8ThPGCQr3pJZnPUQck\nouBA9FlGelNtMoEC7zpFbU2RnfqypL0Prq8VoDlSYAiH8LyIvLp5/4iIfKp5/wUi8gdF5IOllH8k\nIm8SkfeVUl70CLZa67trrXe11rt79+6t2GUAABApDzM1rmut559n7qBbx/SyGqw6oowIq/2pAzDr\n7rrXvj4nbeQYfe6j16XdF7UbsYIMeptXRn8u0WC/t806T6uvI4NBK9jQ+8zmtGt9v6f0dU4Zr+zo\ntQPw2+Y8A30PSikvFZGfFZGvFJFfEJEPicgfrbU+45T/oIj82Vpr+CNkrd8pAAAcxZzfKLvOtPCm\nI4i8MGPCmpaQSem3jtPH6tfRIH80Ld+bytH2zas3Ezjw7uxbAYtshkK7TZ+LlRkyUld0bXRWicfL\npGnPX5f32sywskisDJy2/cx3s0dn2Hh9s7ZF18DqRy9Ap+ubG7CYmt0C4PbVWj8jIu8UkfeLyMdF\n5L211mdKKd9RSvnq6/YOAABMseugxVk0MMsOmLypBF7d1mA5StOPpmno/dbxVt/O+62AgFePF4Sw\n3usBtheQ8QIG1rWLrmXEum5e1owVrLKuv3V9vG2ZwbwV4NLnvPSAfc6gvBfcyZTL7F/aSPAvG6wD\ncDtqrU/XWv9ArfX311r/0mnbX6i1vs8o++W9LAsAAHBlU1fwXPLf2k8P6b1u/1rboqczeE8oifrh\ntaPry56L1V7U/8wTN0avlbffKhf1I/P0jt5TTXpte2XmPqEl+6SLzFNUsk9FmVtG9wHAbZODPz1k\nrX88PQQAgHnm/EbZfaaFzgiw0vl7x2redJBoDQiv7ejOezRlJcocOG+zyvemN1jTMKzrYE0R8WTO\nsW3bmzai27TOsT3G2m71x8p20cda5aLX2evQHmtlpkTle3WPThXpyWQgjGYpTM1qWCob4tJZFVF7\nZHgAAAAAL7b7oIUeCOuBqR7862PPZXpp5NE0Bx0M8KZLeIMWHZzQvCkluo7eANxqzwr6eFMw2v5Y\nQZvoHNq+6Ha8qTHWwN07T+84L6Dl0d+VTFDL++611866fiOD2CWmYGSvwVkvGJUpP9VSU06yU2CW\nErW31jQaAiUAAAC4ZbsPWpx5gylvkGtlEmTXMNCZAboe3ae2PiuoEg3WvUGvPgfrfdt2r69tH3X5\n9lqMZrK0/6xsES87xQtEeQGOqA89UYDHKtu73rrt3mc8hZet0iu71KDaKpvdtpWB9FpBhLMp5zny\n39fZNQIlAAAAwFJ2HbQYSe33RJkNUQaEF4DwBv5te95gva0jc67W++wUBSsIYU3d0OdnZWNY5b3A\njvXP6lt07ay+RWXP73vfB515os+lbc+75tFnk9nWu2vufc+jLJypA9fo2k6V+RxG64vez61vjinn\nOfq/XwAAAMCt23XQwsuQsPZ7d7qtu+beYNvrQ+ZOtjXYtwaeXp+9u+l6gK0H3V6frHq862QN/r0A\nQnROXh+8AIP12XjBBN3XqG0rAKWzO7zPP+qLVX+UfWBlk0R61zOjFxTJlPOCVRlTMnYy9Xnv59YH\n31YyZgAAAHDbysOFPK/r7u6u3r+//BPH9EBT0wP4XnnrWG9bJlOh3d72WR9vDQKjPvcGjb2+eYGa\nbJuZ9rRem73zHzk2298eK/MiaitzPlNF55Wpe6QPS2dDXLsdbB/fhbxSyodrrXfX7sferPU7BQCA\no5jzG2XXmRYi/o9dfde8l3UxZeAXBSz03Xkrk0FnLbRlegPtKMPDa6vtpxcs8c5V865Z9Fm0GRQ6\nGGF9Pr0MGS9Tw7rG7T99ztZdf++z1f3MZEvooEsm+8PqQ/Qds84l6oPXZnQeS1urnaNmANzyeROw\nAAAAOK7dBy1Ecun4Xiq/V4ceMFsDxKi8l3Hh9dWagqD7Z5XvBW30gN3KXLDqttqJBrxRhkk0wO+1\n3bZrfXZt3VYZKzDSvtf7dR+9gEgv68Zqrz3Wu2a9wIY3uNPXwavXu9Ze+d42r0yv7JQBtndMFOAb\n6fPcMtfGwB8AAAC3aPfTQ0ZZg1KrTKb+7PHZNnuDL69MtM0LqETn6PUxU5+u0wpO9F57g/MoU6Vt\nq6eXRWKVW6ut3rXM1Jc9n6l9XPv4pevZC64HLEwPWQfTQwAAmIfpIUm96Qz6dTsA1ZkO+s64vkt+\nLqfvbvcG5lE/vTvx1pSEczlvEGu1E2UaRJkoVnte5oKu08pasM5Pn2Nbn3fdrM9Hn6fe5gV/dFve\ndbO+J1G7vUFnlH3jlR9tw9JrcyQgONJ+VO/oeVw7+2Ht9glYAAAA4AgOFbSwAg16WkI7cNZTH6Ks\ng0wWhC5rDWj1wL2ty0uttwbkOoCgAy+6b95g3Sun27Wui/c6ytLQ7en9mQG0FzDx2ukFZ7wgjxUU\niQIY0blbrO+C3m+VX0Kvr3MzL7xtXrtTzuvag/prtw8AAADswSGmh3jZAdkBuz6urVvXl90WZTlY\nGQi6bSsbxNoXteP1M3OMPr4t613bKLiiz8E7J90fq+8jafNW3Zk6ous80n6vP6Ntj7Q/59iROi9h\nqXav1X9gKUwPWQfTQwAAmIfpIQ5vENzS0wK8TIy2vFWfdYfdy5jQ9ei2MwNia2BvZQZYWSLWOVlZ\nJ9719PSyMKxrF5271671uXhZJD0jQQ8rsJMpG/UlypqJ+mz1P9vmeZ+XHdLTy8ZZUjbDYql2l6pn\nqYwXAAAA4Oh2HbQQefEA1wtktAP8dn8v5d4bOHsDXD1IP7OmNHjTIXrn0Z5LNgOgDW70BrO94I91\nPt65Wm31BvhWWev6RWXbbVZQxDrOOm/df+tzi667F/jy+hvR3/Hoc/K+I5n2M+eylFvNelgq6wMA\nAAA4ul0HLayBczT1IBPYsAakuj098PcyM6JMAW8wHw1yrawBjzcQtTItrMwOq89WP61z8jIlvDp7\nn2O2Li8YoV97/Y7607t+Xjvetnaf/i5ZWTrZ+jKfn1eX1/de/73t2UF5plwm6JWtaytGAh+3dF4A\nAADAiF2vaSFir53Q8qYHWO8zUwbOg0hvENELCnisunuvM/vb8/DeR/VG16iXtTEahOlt6wVQRst4\nAQGvvSiA0Nuu68302zJSdu7x2bK9bI5bzaYAtog1LdbBmhYAAMwz5zfKroMW1sD9vL3lDe7b95kB\nu1enta/Xj6hvvaDBSADk3I/Mcd55WOei90fldHkvWyQTrGnL9gbKmcCDV3bKYHtKQGC0XS/YdGkE\nI4DrIGixDoIWAADMQ9DCkRmMjwzWRwIgVmDAq7O3fyRrYsq5jLTZC1S059SW8eps9TIVlgwUeEGb\nXtkp7fayJ6LruuTAv3eeo/WsZal+AkdE0GIdBC0AAJiHp4c42oFPdNf9XFYfG9EDSx00sAZc7Xtr\n33mb/mvVp18/9qS9dsa53igYYJ2rNWhsAw7ewLp3Xu1xbZ+tY71tmtUnffy5rfO/aFqGFYjSdehz\naLd7wZno82v7733+GbpvbR+9+pbOsIn6lSlvnX+2fgAAAAD7suughR6YRYNHPejxphy0x3kDv2iQ\nex7E6wFlNIj0Bm/tIDsKylgDcesc9HFekKINBPUyJ7xz0uW9wb/3uXl16n1RcCm6o6/7YbXf1tkL\nznh9ioJN3ncqew3a/niBEf05Z+q12liq3Gj7U+tfun0AAAAA69h10MLKfvD2eXfBe5kauo5etoQ1\nSNWDf6tu/dp6r/tstWENrK16rcF8NksiM+D3zjfK2tB163OwBv3WeerPUwderM8/Cly0Zds6ve9C\ndI5WYMzL4LCOz3yuOmBhWToIMFrvlGwOz5Tj1zp/AAAAAGN2v6ZFK8osiFgD4HZf25Ye4HrtWYPP\nXt+swXM78My0pYMR3vFeBsKZF9DIDDa9u/xekKJ3vFXWC7pE7712rcBC1G67LdOPqO5oe6b/Uwbf\n3vcjU36JcqNl57hUO1trG/vFmhbrYE0LAADmYU2LpN6dfYt359qaZqDLtHe2o6kFXrtRuWgahdX/\nKCBgZQh4WQq9bAvvLn97TlYmRvS6vYa9AE3bTuZcvXPJ7D9vtz7j7Gdr7ct+T3v1ZAIyepuVseKZ\nkn2SKRcFhaz3vfoiI9doaQQsAAAAgL5DBS3O2kGmNfCyUu69QXNvEH0e7FoDLx1saP/26rcGyCMD\nLd2uFTDoDfStY3WQxGujvZb6r+6j1Td9XfTUB11G79Ofi5UJYZ2HPt4LxHh16/PQx1jXKjNoj4JF\nGSMD6Ox336u3F5SxvmOjfZ0bECCgAAAAAGzD4YIW5wGhDiREAy89INUDcW9QZQ3EMoM4PXi1Bu/6\nfKK6RwMavXOJMkv0ddJ/rQyVqI+9zA0rKOLdtY8CHFHgRdfTy6zo3b33gkA6yKL7Y9URBbM8VgDG\n62fU55HghW6/99/b0i6ROQEAAABgeYcKWvQGS9agMXPHOxrg6nazqf9e2aiMN7C2yug+eQPPaN8U\nvWDAmRUYaMtYg/doSoFVh+6DDgBZAZhM1kPbf6tdK2DiBS+8PluBs2wgQJ+HlQWj+2l9R6dkQGTK\nZrMzRpA5AQAAANymQwjWxOkAACAASURBVAUtonR/vb03SIruVnsDa+/YtoyXJt8blFvvo+kPVuaD\n1Tc9WO9lfejjvPra8lbWixdQsa6lFViKPucoo8PbHl0fr44pdWY/My/I4LXnZYVYGS9rsz7HnjX6\nRfYFAAAAsH2HClqI+APGdpDv3SXP3B1v67L2tW23+9rggNe2t8+ru8cbHOttUWaC7p8u09ZhnV8m\nuOBNQ2i3t9fH+kwj+nj9+UQDZv29ifqrX1vbov73Bu5WkKyXKdPLpvD6GW3r6V3TOXr9if67XKtN\nAAAAANPt9pGnUebDHL26rODCnHatzIDeINTLRrAG1dFrb3+mzy2vDq8/2b542/S1ic6jF7Dx6vfO\nz9rXy2aJ6o2yJ7J9nVL/EmW9DI612r0VezwnbAePPF0HjzwFAGCeOb9Rdhu0EOmva5AZXEW8gdjI\n4N4bXE85VpsbLMnUFwUJooFyFFTItKvL9gaC0Wfbqyd7bFu2F+Cwjo36fi7fC0aMBgimBhCifmQC\nPUv0B8CLEbRYB0ELAADmmfMb5XDTQ0TsO/V6EJZJydfp+9aA1Ds+ClCc0+f1NIoorb7tQ2aQ39uv\nz6u9Hl453Rdrm3XeXn97QSddzjt37/PxAi5W2/p70stciIIcUd/bsr3v02gwwKo7833y2vPqGJly\n0mtjK0YDgNF/h8AZ3xEAAIC+XQctrMGUiD0gO7/PZACMBCJGsjX0MXqgf/6XCYj0WEEQq25vkG4F\nVPR+PdDX1zK6pjpjwSqrAyk6EOEFMKwggnXNrfPR1yUTcMlmY3jn2WMFPHQdUcDL0h43EsDIvm+3\n9YJglky5aw4IR683jonvCAAAQN+up4e0eoNM7w67lZXRbrfKRtuswbuVhTC3P7qcNegeNXqsF/TR\ndXifSzS9wMvc8KYs6G1e4CDKCIk+k4zoWnh9GR3UTDlmKb22r9k34CiYHrIOpocAADAP00Mcvbu9\n+m5yZmrByMA9GozrOnRZqz9ewMLqj+63nobQ9qOtP7rz72Up6Lp6gQNv2kMvg8T7LDKfY1Sffq8D\nCG02Ri+Qkcm8sNqzREG2qaLvRVQ+U2dv25yAxZT+XTPTAn18PgAAAMjYddBCJE4j9wZserpBb2pE\nW593115PXcjctbemami96QTRtnbqhZep4U0J0Putc4qCCToQoAM2mWBJe6wVbIk+d++zbfdb9bb1\nZ4NPvX5ZwYspg/EoK8X7TKIslpH2rWu15KDUuzZRIGSNrI6lzokBO1MjAAAAkLProMWUAY01OIoy\nIKyBnxVs0INzK3PDGvC2g0srKNDrS5StkbkmepBr7Y8yNrwBs1VPbzCfyYiJBu3e5+L126onCkpZ\n5+J9HlZ/ovPIZJBE32kvwNI7Vh9jlfXOccqg1Av4RO1NqXuqpQbaWxuwE0QBAADAVu06aBFlJvTu\nZFuDS13H+bU12PYGrtYAz8rAsI6xBs1T7m63gQsroHKuOzoXfXx0Hbz+9/rdOzed+dALZngBI+t8\ndTZHW4d1Lby+W4GXTDCtd9zUQaau3wqm6c9rtN05A/LM9zkK4ET9y/briAP4rQVRAAAAgLPdL8QZ\n3a31MhZ69KDfK9PrUzRYt+6I9wZkmQGbrjdzfXptZoIOOmvEG/h7wZ7eddbHR4ESL3iij/P6Y9Xv\n9TnKbJkjyvqIyvW2r9nHa7dxif5cwl7OA+tgIc51sBAnAADzsBCnI5tp4aXM9+qNBg/6rr51d7g3\nhaB9H51LNB1B15O9a66viZVtkgkkeOety/Suo9dO5q67/hvV2+tre35tH3S2R/QdyfSjt8/6PLws\nluj4kayF0b4uNY1jieyJKe1G+6+ZjUHAAgAAAEey60yLKZkJo1kXo/V7+6PpD9mU/Ey2Qi9zoC2b\nEQVMevVaWQjeNbD6H7XZy47w+t/LnIiug9VOlPkxJdtkZMDayzKZcsfe+ry8z3huBsQS57tk+bXq\nwHRc/xcj02IdZFoAADAPmRYTeJkEesCl/47W37v7HQUmrLvg1rHnslOyFXpZHb3ztwbabfaEFxjS\nWSJtu9bnEdWn69b91dfGOycdZLD61vYvynRp27TORZ9n+75tP8PKJLH2t32NAgUjrGyX0b5H2SAj\n/Rn9b3SJwS4D5uvi+gMAAOzf4YIW3qDWmxbgDZa94IFmDUDb9npp9d7AVw+UddDAC4ZEA1vvHK2p\nCN52nUJvXbto8B5loPQG81bww6pDH2MFSSxtGS+4Y5XV23uD8ei72fueRvXoPuh6zvui74gXhMsG\nQKL/jizWOWS/0wAAAABu32Gnh4j4A+RekGLkrn+2bEZmYO2162UDtO/PvHMf2W4N6HVfvOvc+wx6\nn1kU+PDOPVPeGkBH186r2xN9VqN04CoKUnhlMnX3yrVtbIF3LTLbgFvA9JB1MD0EAIB5mB4yUXuX\n3bsrrcuLxOtPWOX1VIHojri33UrD946xMhm8O/Tn11HdUZvWwNQa4PcGgb1sC6s9q019zXQWgpe5\noL8HVl06i0MHJaLggN7WHuOdk1fXaAZDLztidIDeK+sFgKx+Xpp3LaJtmf/uAAAAAKzjEEGLKGDQ\nDtj14M1LTc/cQfYCId5gPBvI6LWlAyRWWWsANjKdwSqbuSZWHVFdur+6TPuZRUEJ/fnr97p+K8AT\nTUnoDXozgSodyLDOx7u2XhZIT1Rvpo7oM7P+RkGXUUsHEaL6rM9vbZlAIQAAAHAEh54e4rGmGniD\n/Tm8KQ1WBoEXaPCmSpyP7ZW1jmuPjY6z2o2yO6Lt2T6218c612gA7l2f3jFtW1FWgnUNo2tqBS6i\n4z2jmRJLHJvp/xL9m9una/QDXOtrYnrIOpgeAgDAPEwP6bDu/EZ3x72Bvy43te0zrx19x3108O9l\nBlhTGqw0+NF0fqufOvigsxqsTIQomyEKIrR16POPrnEvE8Z672V+WPusa50JkLT16b7pc7OOs87V\n6q8ncy2iwE2mf722p+gFFqcGZzCOgAUAAACWcshMiygjIJNJ0AskzM3KyAy+RvZ753Q2dd95vxfg\n8bIjIpmsjShw4Q2so7JRfbrP1vl7bUXlrMyNaJvXVlRmibvd2eyJTFsj/ZkS8JjbJmJcy9tApsU6\nyLQAAGAeMi1m8O4mR3fhowyHuT/qpwQ8vAHyGsdb2Qrnu+veYLot07bZ/rPq1G1GwRGvXJQ14pVr\n9+m+WuWj9vV10KxAirVNX0t9vXRfdSDDyoBo64iyR6zt0Xno8l5QyRNdr1FzA4j4bQQsAAAAcA2H\ny7TI3smPjvVEdS4lygSZcqy137se0R330cyQXlaELpPNgGn7ZPVTt2H11SoTDdi874rVfjYjwavD\n6mMmEyLavuQd9Ey7o32+lmx/ttbvEbfcd9jItFgHmRYAAMxDpsUA646y98O9l4EQDSqtAW9793h0\noJAdNOsMhmigru/QR3firWyJXuaJdddfn4eVleCdb/R56ADHeb/OArGyQnrXKMq6scpa17L3uWey\nMvR5jgaKvPa9AEJmW6YuvX1KYCiyRHAwe60svc90K3rnuLX+AgAAACIHDFqc9QIS1jZr4BUN+KzU\n+qkDg+xxXqp/L90+CrK0gQc9XcE6RvfFC1RYekEN73pbgRarjL4OUb+tdrxMnSio075u//YG7G3Q\npWUFwbzz974PVp+sNqxtI9/n3n9XS9zlv0Yd3nckU+dawYGp/cnuBwAAAK7hEEGLkVT0aKpDJssg\nM5BsX3t3oL3+j05Z8LIkvL7rY/WgVwcvvPaidnSdVqAiGuxag/bonKKAhBfgaf/q+rPTPEaCM953\nQ2fnRFkt+n0vWDSS/eF976I79foajQTeLmm0vV42TM+UAMka9QIAAAC3YNdrWojkU9qnDpQyx06p\nf6k+jfbPCrhYdVgZB3r/mbd/yp1h77y8PupjrPqsclFd+tyi8tExVt90H6wASfa6987V+tyzx+k6\negPmTJkRXp+8trz2l+6X51LtAKxpsQ7WtAAAYJ5V17Qopby6lPKBUsrHSynPlFL+9Gn77yml/Hgp\n5edOf3/3aXsppXxXKeXZUspHSylfMqVjSxi9szsyjWGkjWhg2LtjOzLQmZK+b5X3ggFWFokejLX7\nM1MgvLv93nQLnXnQltWZCdb5W/V5GSS9KRJRoKIt08uQ8K5f28d2m5VpEmWdRFk9mWvVC5AsMRiP\nvqejwa3oc8tuX9o1AxZrZa5cOiMGAAAAx5SZHvIZEfm2WusXi8ibRORbSimvFZF3icjfr7W+RkT+\n/um9iMjbROQ1p39PiMj3Lt7rlfSmT4jYg0xrIN2+toIJvTZ6g91M/3V/vH5Fgz49aB45B/06Grj3\nggu9AbXXRvv5WNkFmUyHXtZIe3xUj3W8F/yIvk/6+KkD4jaoYtVv9TnbVi+go3kBF72vlxmS/X6O\nBjRv2VoBEzJHAAAAcAndoEWt9dO11v/t9Pr/FZGPi8irROTtIvKDp2I/KCJfc3r9dhH5ofrQT4jI\ny0spr1y850nRHVZvQBhlP1h3/9tt1gDVGoBlswGyvDvu3oCtHbD32s9MITjvH+27HjhH7ejsC/3a\nqluXs/b3+te+zmQ2eJ+xzubQQRGvn7oOXV+v/9b30QrIeKzv1Gj2w6heZkQveJTN8LFYx875DgEA\nAACYbmghzlLKoyLyehH5SRH5F2qtnxZ5GNgQkd93KvYqEflkc9jzp20XFQ1mz9v1gNTbdzZyl7l3\nJ7g3UO8FAKKpAHPuvkdt9GSnEOjsA13e2mdtt66BlUmhAwNeZkHvu9Ib/FpteH212mwDGnp/JnOj\nl90wmj2SrXdEdI1HjGZu9GSCHNHnv2TwYqlrBAAAAOxBOmhRSvl8EfkREfkztdZ/FhU1tr1otc9S\nyhOllPullPsPHjzIdmO27MDTKtMOHKNBUe8usUUPdEcCFqP7vfq9IMB5nzewa6dgRO1FgQM9OM9M\nD7AyQKz9bZvRVAO9r3debZZNlGljnYf1Xtfdtq1fW+eeDYxEgQ5L5vp6bXrZCVYw5poywYc5/02O\n1Dflfz/2iCANAAAARJJBi1LKy+RhwOJv1lr/h9Pm//s87eP09xdP258XkVc3hz8iIp/SddZa311r\nvau13t27d29q/12ZAZxV3rsTbw30okyBbOq+Pi7qe3tcdhpBFKTpTW9ot0XXLWrPu256kG8FB3Rq\nvhdU0Mf0shG8LBsdlIqus/c96QVTMhkTvQCQV8YL+EQDciu7wzpXrw9R/6wy+rOeOhBfa0A7JRjZ\nGslayWb6HNXRgjQAAACwZZ4eUkTk+0Xk47XW/6LZ9T4R+cbT628UkR9ttn/D6SkibxKRXzlPI9mq\naHDauxvelovuYo8MDEcGL5kMh9F9mfZ7wYwoyGNdl8z197JRvGtnBRa8zIQ2CBKdUxtA0X+tevU2\nHdTqBap6ffH0Ph+9T1+LKKtmpA1r/xKDc+t6jdY7Uj5bdk4WFIN0AAAA4MUymRZfJiJfLyJvLqV8\n5PTvcRH5yyLyllLKz4nIW07vRUSeFpFPiMizIvLXReTfXb7by4gyJUTitQyWGIgtMUjpDV69Y6x+\nRINt67X+50230MEKnUFx3jZ6Ta2AgT7OyrLw6o+mLegMgSiAMhJoyGTz6Lq9tr2pJLqtzPcuM10i\ne/2jDBptJGDm9bl3TC9QNFo3XoiMEQAAACyp1Pqi5SYu7u7urt6/f3/xeq0BYnYQNnJn9VI/0qO2\neoPM3rEjWSHZNqceP/WaWgEF63W0v61Hb4umc1iBhGiqSJRZEfXH4wUPvGtpfde9/nuBmtHzmWOp\nei7p1vp8a/2FrZTy4Vrr3bX7sTdr/U4BAOAo5vxGGXp6yK3rpbxn0931XXevTm8A0JuqMDpV4LzP\nG5xGfRhpZ+ROfeaYkcBQNhtkZKqClVURBWJ6mTlWWf098AIJVmZF9B2ysoGiLA6dFaP7aNVt1aH3\n6zLRPs9IgOzS5gQkby0AcGv9BQAAwDHsOmhhBRWsgVd2oGUFN7JTEVrWYDmbUq/PpTeY7/VBv47a\n0/2Opjuc+9aW9QbA3jFt/6I+WhkDVh3tNYumNfSmd1jn3AvKtMd5fdPn5dWlt1nfgbY9LyjnlYmC\nJVb/rGvSC7BZ9XnnuEQm09xsoDUxnWJdXF8AAIDbtuughdYbAPWmO/QG+l59mX71tlnTDzJZBd50\nBuvv+XVm0OwFVawMAK8Or8+9NnRZb8BvBQms4IGeKhGdfy9zJArSjGTWRN+J6Bp57Z236WPbzy3z\nve+1FWVtZPpsHRNlpmRtOYtgy33bA64vAADAbTvUmhZzRFkLI2VH6pnShh6AZ+oYOcaqQ+TFayDo\nwbEXIIj6dDblulvt9PrqHW8d0/atl7nRtq15gaXMNZkyGOsFZ3TfrYyYOe33+pXpyyXavMTxwBpY\n02IdrGkBAMA8c36jHDJosVTgINIblG/VaP+mBnOs43rbotci/WyQKAhhBQ+s915wojfgts4vas86\nP6svmbp03zN9msoLOI1kHfUCPFEA5QiBiFvoI66HoMU6CFoAADAPQQtH5k6+d9e/NyhcW7ZPU/uz\nZPDE61emv9ksg7asLt8bsEfbRgb5makPXv+j7Abv/EYHppnsidEskSigk83asPqQyWLpndvag/c1\n6ifggLURtFgHQQsAAOYhaOFYMsAQDa6zWQNR3XPL9gbZ2WBHLxtipH+9Qf5IEGM0aOQFTqy6epkM\nUZ+iDA1rW5TVkA1qeHVkp3CMBhuibIlMlkMUqLikKKNlNPgCbBVBi3UQtAAAYB6CFo6lBt/RtpHj\nM3VM7atIPjCRrXMkkyDqS1suG3QZuU7RwHP0O5DNOND7vLKZ7AddRyYQMTrAXmJgvka2QzbQEh0v\nsq3FFtcMfhBYQQ9Bi3UQtAAAYB6CFo5LT+Xwsh2W6EdmqkW0z7q7nG2r196UcrpPS9TbC5i0rzOB\nHi9QkZnq4fXfG6BHAY/RgX10DlGmR1RXFKxp+5QZVE/JuFg62DK3TmCrCFqsg6AFAADzELRwrB20\nyAQSvEHp1Pbaukb6Zm1fI3MkM62id7x3TLbu7BSJqM1s8MDrl9VeZuqHd05WX6OgQe/vKCvQkAme\nzMmiyNZ7CUcPcBz9/G8JQYt1ELQAAGCeOb9RPmvpzhxJND1Al/HetzJ3qHuDdGtQ6/VnJHiSCSJE\nd/WtfmazJ7z69ECqlz3hXb8o+8AaoOt6spkPmWt/rkt/drp+733279Q+Wt+r3vdy6eDh6OB5qUyn\nS7Z3CSP9vGTA4lauHwAAAC6DoEXD+2GeCSaMvI/qsQaj7SCxlzVgvc4ESqJztAIDVr3ewLcXrNCB\niXbg3g6IvcwCiz7Oy4TQwRZ9DroNKxCjj4/Ovz2/3ud2qYFilEFyFn3u3vdSHzv639HcctmyUwN5\nnlsZ4Gf7eekgAhkdAAAAaBG0aHiDxd6d9OygLNsHPQiMMgV6A8ZMe+3fbPne9nO/rGtptW0FQDKB\nhogXRPDqtDIudPDCOq/stdPHWZ+bDtZ43712f0ZbNgqW6GtrBXG8z9SrPxsUyH6PR77v1ndlSh+2\nevd/qQH+Ep8LAAAAsIbDrWnRm8LgsaZdrJH2bk1t6A3QR/rTq9PLZvD+Wv32tmWMBAMyUzK8Y3rn\npMu226xAhg6GRMEGr4z32feO67HKR3VY/YqO19dwpI/Wtcz0f6ooa6d33Ggfluz3LbSLbWBNi3Ww\npgUAAPOwEKdjjbujUwbjXjBirfZ7AYV2e2//Un1auh4vUCLSX3/D2uYFs6KARPSZetMtrAG+rjMa\n+EdtRAGV0UF6pBdcGAlYTA3ETOnfUuUvbev9w7YQtFgHQQsAAOZhIU6Hl34/tZ6RAVk0SMxmRFi8\n6Q0ery0rlT9znFfWmm5h8aZHRNdWT8mw2mqnVGTaO/dbt32uwwqAtPvaqRS6DS/40l7zTEZBdC3a\n/vTO0ypvnZve5omuo9fvqPz59UgfvDq999G+Of8tLfnfkYeABQAAAI5s10ELb5CRHVzpAejIoGpk\nEJXpiy7nZRNkj+/9bctHZTL9yQRssoPMKJigy7TlvICGDkhZ/bfOJcqk8DIIora8Or33UfDCC2x5\nn3EvoyMSHevV0Qto6evjvdZ9aM87CoLMDfh5fY7234o1stMAAACAOQ47PcQbOOp9UblMvaPHZ/s4\n9bgoyDBa/0hdXlCg9xl4g/BexokVOPDqG/m8ooBDNN3BO4dMACE6v9EpGVlRMGJKO5n+9cpkM1SW\ntsR0k2tP8bh2+7gcpoesg+khAADMw5oWhjmBht6+OYGIuf25hGgwv0TQw2qrrTNzzbPH9drN1Nny\nsj4ywY62DiuIYpWNRIGLKODT7u/VOcdoYGVOm2vWPaX90eDT6HGwcf0IWpRS3ioi/5WIvEREvq/W\n+pfV/m8VkW8Wkc+IyAMR+bdrrT/fq5egBQAA8xC0cHh30JcMCqwRYJhb51KBhSXObW7QJzOoz0yN\naMv12suUtb5PmSyKXj+nBBOiLI7ov4GeqC9tHVMyILyslKmD/XbbUhkZDIBxi44ctCilvEREflZE\n3iIiz4vIh0TkHbXWjzVlvkJEfrLW+mullH9HRL681vpv9uomaAEAwDwsxJmg58XrwcjI4GRkmoI+\nrlduynQU7bEn/TUeRvpmndv5dVSndX1G+qL7YLWvz9E67ry/fd2ep35t9Vf33fre6O9WW1/bvtW2\ndazuu3ctos9Yt2Ods3e+VlAiCjxl++Sdx2jAwqv7Ev9tXcs1M6+AG/JGEXm21vqJWutviMh7ROTt\nbYFa6wdqrb92evsTIvLIhfsIAAAGHSbTQmTaehO9Ad6UOkfKLVWPNyif2t/MeY8cM/V6ZM7Latc7\n5rw9Ckz1Miysfb1yVj/a43p1jbSnz93bNnfqwpQABsZw/aAdPNPia0XkrbXWbz69/3oR+dJa6zud\n8t8tIv9XrfU/6dVNpgUAAPMwPSSw5zuU7cDy0lNBMkGKzL4px5z3ieSDFaNBGytAcdbr07lMlL0R\n9XNusEAfFwUoekEO67z0eXjt6e+n15cp59Qr09bfmzZilSEYgFt18KDFHxaRP6SCFm+stf4po+wf\nE5F3isi/Xmv9dae+J0TkCRGRL/zCL3zDz/98d+kLAADgYHqIIzO4zLCmBUyt10vjn8KaQuC1lxno\nZdLrddvZOqzpEdljvH1tv6wAgW4zm1UTDey9YzxWP71rEGVueNdbb/emcrT1e+fYtqX7Gp1Hu90K\n8lh9yZzLVLqN3n8D7TW/dMBiyfPemr2eFzbteRF5dfP+ERH5lC5USvkqEfkPROSrvYCFiEit9d21\n1rta6929e/cW7ywAAMjZdabFHn40T51CsUT2xRp1WfVmsjYyGRnZfmbu+PcG314GRjQlI1PGy4rw\n+hh9P7J96WV2RNNORt1SBsMt9RU4O3imxUvl4UKcXykivyAPF+L8o7XWZ5oyrxeRH5aH00h+Lls3\n00MAAJiHTAvHSObAyHFLyPZtdMCYzSoY6aM3EJ57nXoBi8x0Bb3vvN/KAoiuzfmOt3fn25sWYR2T\nraOt63yMlxUQZVx4WQXRd8DK0LDqs+rvfbcymT8j3099beccM3JNlvrfgT0ET4FbUGv9jDyc8vF+\nEfm4iLy31vpMKeU7SilffSr2n4nI54vIf19K+Ugp5X1X6i4AAEgi02IBo5kI3h3xtfubuZtv3b1f\nsm+9rAprXQErk6CXMeBlC0zJ6MgEVqIMiujcrGP1tl6wSpeN2rKObc9J19HW3/ub6avV9lJZHG29\nZEjYuDb7d+RMizWRaQEAwDxkWizAuzufMToQyE5hyBhtNzO47mUNZNrsZQzobXrA7LVplfOyC3QW\nRJTpYB1vlctM0/Dq8Ab5uozVrpXN0dbZbtNtRJ/B+ZyiDBqvHutajATwzu2OZD9k6/Wuq/V9PlIm\nxFoBiyNdQwAAAFzWITItrLv2WVOOGakn27dMP6KsgannsUQdmboz5bLXKCo3UodIHESIsj16GQxe\nFoTXXpaViWKVic5hSb3rlD1G5DLTtpY2kiUDLIFMi3WQaQEAwDxkWnT07oBnjtWigYZ3N97an+1b\nph/eHWRrEJ3NKrHu7kdGslWyg9Fe9sX5tQ4Y6AwBL5gQaY/V183LQok+B6tPVhkvu6Et62WRRFkz\nXh/b7ZnvYvS9tc7fywKxjrW+Q9kA19bu+Pe+Y6NTaQAAAICjOUTQYim9O+KZfZn957YyA5rMndpo\nEOmV6U0ZaLfpoEB7bC8wMTqo630G3hSK8982KOAFQaKMlbYer80o4GD12wtCRFNRzvV7QRAvU8H6\nPHRQIROYGWmn9132ztn7fKLPPSqzlKXrnhIMJIgBAACAozjE9JA5egPYtUSD6mgKxKX6Z1mibWtg\n3TvfcxlrW6ZPXh2jn7vue3aaiVXeO6d2+9RpFrrOkSklVr29diPXnvqRPa+9TuPY63kdGdND1sH0\nEAAA5mF6SEImc6E3rcN6Hx2b6ZPHu5vcm04yJ2iwxOCll2XQa6vNhjifby+Ao+/qR8dZ/Yimneh+\n9cq0+6yMg6h8u63XH6v/vcwTnfXQC4qcX49Oy8hmCLV9uhb9mS753/ct2Ot5AQAAYD8OE7QQmTZt\nY8qc897gNtufEbrNaDCYnbYQlfWOn5Lq3utHZjqA1X7vM7GyKXQ91tQX3b6eLtELOEX7rM+xd869\nvum2oro9vWkXUV1rZP5MrTN7npe2lekeW+kHAAAAcHaY6SEjUxeyZa81dWSpttrB7lL99jIXMmsO\nRP3J9HXKlBmr3t6UCi9AYL3XvCBDJnNDH6/75bXlsaaPRO8z/dP7evutoMoSgYPomo4G4jJBtq1l\nLGyxT7gMpoesg+khAADMM+c3ymGCFsjLBmP0QD8TMLAG6plpCpkgQa8vVjndVtQnL1ihAxHetfOu\nRduHaJvVjpdJodtfIjiQbW9qXaPtjgRk8EK3GoxBH0GLdRC0AABgHta02IFoWsCleen9o1NdrOCB\n9d6b4tFeByuoPrO4aAAAIABJREFU4E0F0X3onYuuJ5s90Z5fFLDwpqZYfTq3712n3kBSt9X2z5uG\n0m632rbqbrfpKTL6vPT7bAZHVNZrK/Nd9dq7ZpBzybazWWJLlLkWAtIAAADHcahMi+x0iEtO87gW\nb5rD6PHt+yn1ePV52zLH6f3nfkXZGVZ5632vTl1vZppIe8zoNBHrfLxpJ9kBffYOe9RWtkymjqn7\ntp4psPX+XcpWrsNW+jEXmRbrINMCAIB5yLRI0Hedjy5zZ90SDdLn/Oi3+tALRliZD1Y/vXNt+9sb\n3E+diqDb13/P59EGMaxsCy8o5AUivOCcVc7KUhj5TlhtZa9hlBkS9Vvv8zJ9ljD630hUT2sPA+Ql\nbOU6bKUfAAAAeKHDBC1GB2FLyaS2r6XXTqZvOjhgDaTb972BWTYQ0O6Psg+8zyqToXEu15sqYk2r\nsKZr9LJN9Ll7fbCmxVh1RUECq09eYKb3ufXOJwrYRO+t7W2d0Wfcy5CxAj890Xn2pr5k6xlBcBUA\nAAA42PSQtVxjOkl0d3ntvnjTGqw77kv1x2rT2t+bAuQFAzJTRaK+eNM7RqaQRAGU6Py8aSLtPq9P\n1r6oT7qO6NwjUf+myE4ziY6b0tZSdW7Vns7lKJgesg6mhwAAMA/TQ5Ksu/xL/CAfnV6xZptzAgQj\nAz392gsUtFMgRtqKMjysAa839cIq5wUXdPteBoB1flFdup6R8tb5eVkWbb/bDIred6LNSshkWFh6\nmSFexspSvEBN77+TKf2YksE0FdkWAAAAOLpDBS28wXbG1ubHr2Fkakf2eD1w9qYjWHVF/dGD82i/\nVc4KSFjvrSCIrs+bmqFlvkPWVJHz3/bate+9jAcv+OFlfuj+9wIRVpneMda5LfXfg3deVhtz/nte\nor+ZKS9T61vyf1/IsgAAAMC1HSpoMcdW06QzfcreGZ6SAdBj3b3v1dObutC+buuLsh6sclYApQ2y\neIGOXtClN81EB3C8YEMUPGgzF6LvphVcscpE5gQvztsyGSZaZmBvlbHOp/edGgkmetNlRmT7mP3f\nHCsYBAAAAOzBboMWa9xttAZkcwYao+1bMueZvcu8dGBGT2XoZSK0x53LZQZj/3979x5zy1XWcfz3\n2JaiAbm1mIa2tmJRKn8UPDYkJqYK0UoMlaSYNkHBNIAIXtEImEhFSUSCTYwoFluLqJRajZyQEkIE\nQmJs4VRAKYgeoMARQkFuGgLYsvxjz4bl4lm3mdm3eb+f5OTdey5rnlmz93v2euZZ+y1NE/G2K00f\nSBMT3rST2r7x81KCI50y0TploZQAGDN1oTRwT6tLcvt629eqL9IKkXSblvdW6+u1JVE2JRlBogAA\nAADYjMUmLUqDiN4BRmlw2lKKnothrgFXL6+yIF7nxRZXBXhyA0yv7dbz8Qa+PYPWUtVFj9o5p4Pu\ntHIi3r6UoEj7t5bMKFXI5BIopf1LFTG565ZLAHnnMlcSouf1k7bbksCrJU52qZQAAwAAAJaIvx6y\nAT0D87mPM/bYPft51RO5AW1PoqK03Zjz8o6f67O12kDXO/d03/S4uYFxLq7Sda1Nc/Bi8s6vtMw7\nTu18auao4ultY67KIa8PWxIycx93W/visPHXQzaDvx4CAMA0/PWQRr0f4seU2kv5L1OcW27O/9hB\nZaqlZH59R35Kab0nvfvfcoe8NNAuxZRO08gN6EsVCV7CwTtu2l+lKo6WgXHcXjqlxdvW2y49Vimx\nUztGer7p/rn1Nb1VOukxe6tsWqpMvOPMaUq7JCwAAACwFEcqaTFmoFRb35K4qJXVTzV1QFg6h95B\nXqmqIHe8UsIjNz2kNmVi/bhU6t8ypSVelvZHnASIkwEtx0jPc708lxQoTc+oVah459E7LaLnNdWT\nYOip7vHi6tW6f+111YppGwAAAMA0RyJpscm7ji0l+73rWvVUIZSUEg619nJJgtKgNx7sp+tapYN1\nb7BfOi9vEOoNjL3ER6laI1eN4f2Mz8OLzUt85ao4atNLvH3iuNOYU961zSW1alUy3jYl8XHGvm92\n/R6ds81NtAUAAADsqyORtNj0h/uWQd8mj9u6vLe9WlVDuk/usZcgqA2qa+u8ioHawLQlVi/O0nVN\n44gTCPHPuM3clJVatURuuk68XXrsuF0vOVJKHuWmtHj7ls5lbHLKm74yx3usVFESa6kWmVLV1Pse\nKLW1T0imAAAAYE5HImmxSbVByBztTm2nVElQ4t1Zb9nfG8iOOZ+WKQwtd+BbKijWbXgVCOvta4PY\ntK9ziQvvGLkEQfw8l1RI989d53Q6S00uWZKrsEjPL9deGnvt+Klawqm33dJrqJZwmfI+rVUApfHt\ngynXDQAAABjjyCUt5v5APWVAUbuDP4fcwLgWy5QBppekGHNXuVZJURrE55a3TFnwjpXG4yWDvETH\n+ud6XSnxk0uu5JIQLX1TSmJ4x2+pdokTON5rqyUp0jtdo1a5s95mShKj9bWxbbVjt74PthELAAAA\nMLcjl7TYxAf6sR/ka7HUStfnEg9WaxUFU++k10rzS4mJ3AC8Z4Dccv3TwW+u2qGnAqLlennTTOI2\ncokfry/SCg8vvtY443Ve9Ul63NL51R7nrlVLkqM0XaVHrbpijt8hc1dl7VM1xr6hbwAAAA7bkUta\n9GodbE5tr7csfM4ybW86grd/65341ni8u/LpstJd8Nq0FW/Q31NR0hJvbt94+zS+OKHQWpWQa2t9\nHC/Rkj7OnV/adks/5M67FItXnZFLrHjH9WLwrl/uNdKSNImXjYkr115vG716knhjHPLAn+oQAACA\nw7bYpMU+fMjuSURsIt7SwKt1f6ntixTnqr5YPy8NpOPBr9e+l5go3anPTcHwBu/xoLxUKRLHX5pK\nkWvLS8h41Rfp9uk556Y6pIP4uI2e14xXfZG2kT6uJWt6Egpeki33mkjjyL1echU0reYeJO/r7zIA\nAABgGxabtOgdeOVMGTDMPdiYa+DQOzjNDXzjx94gtDbwK62vTW/ovQueJgzSmEtVBt6UjVriJH1c\nG6x7CY30OOny9Hxb+js+D6+PawmDUqLGe57r11LFSK1qwHvt5bRU0rQk3Hapdl3n+j2zD8kRAAAA\nIGUhhF3HoGPHjoUTJ07M3u7UO6ZrPYPvOY43JoZN8Y6bm1bQsm+6bs7rk7tjHj9P9/OW52KvXef0\nnEp389Pjlu72p+fQUr1SS/rEx8ydUy2Z5yVz5jBHhVBt/7ljBvaFmd0ZQji26ziWZlOfUwAAOCqm\nfEZZbKVFiymVBrn1vXdt54qhV+sd6lx5/lS5yodcLC391Hsnfb2uViGSO36tyiGtaEj/xZUXpaka\n6VSOWgVHbd9c9Ui6b3ou8c/c/mPfK940j5Y2PLnYS9vsO6ogAAAAcFQtttIiHdi1VAO0Vkxssuph\nVxUVY5T6q1ZJ0TqwnKMaw0te1CpI0m3m2N47r7V0v1y1Rq7CIbdN3L63baqlQmSM1sqGbVRA9PTb\ntuLoWbevx8F+oNJiM6i0AABgmimfURabtJDav8V/10mCMTHUpi+07LNvU1lyA/RSzGP7Tqp/mWWp\nqqA2taN0rFIiJ5c0aE1g5PosjT+N10uWtPTFHIPeWpIlt2zuxEpPfC3bkBDALpC02AySFgAATMP0\nkIrSwGHXCYuxMYwZsHkDz1RtGkTPcXrbGzPw6+m7+Ly9/bzpG7lt1u2lfZmuqyUw4uW5eOPH3jSQ\n9eM45nTKiCc+Ty8JEZ9TbkrJlNdG7jXcOtj3zi93badojaW2bBOxAQAAAEt3JJIWteqDkm3eKR2T\nMBhzbqV9xiQBSlqqDry2coPbNCmQG9h7MeaSNKUkwHq/dOAet5f+TNuvTbnITYFpuU6lCo40/vRx\nnFhJz7cUQ+/rKj1mrZ1SNUhNLVHTYu7EgpfkAgAAANDmSCQtSmoDlG3eGc3d/W8d6LRUUsxlzLSM\n3Pnl1pX2jysi4mW5gXsae67N9XpvkF2acuElPErHLlVJpI+95EiuKqJ0zvGx07a87dLnpeuXnlO8\nPk6OeOfTYs7XdC05NHdioTe5t0lUegAAAODQLD5pMbaMfeyxphwnt/8cyYHacUvrpiZTemJoiT13\nt75lioRXrZFrKz0/b7DvJRo8paqM2iA+fQ2XpnG08ioscm3kKkRyy+L9vD7tTcKVjleL3dvWu667\nNsf7fuxxAAAAgH222C/iPPQ7iulgMjfIbNl3rm1beW2WjpNb1xrbmP3T5EVL37YkVlrOvVQlUTpe\nKc6W5EmuQsOLI7ed9zM+fs7cSa65eX0zR3v7aI7Y9vn8jjq+iHMz+CJOAACm4Ys4HWM/UO/LB/Fc\nCXvv3eepg8nSdxDUBsetMZXK83PHTKdtlKoi0jv8tbi9tmpJgZbXTW6bNLb4WLmY4vZylSS5qTPe\n9vFxau32nneuz2rTNFrWjalC8qbu1F6TXhslLVU3uzLH77h9+T0JAACA5VtspYW0+8FBySYqHDbZ\nbu4YU6sk5oqjFJ/kVwp4beS2j5WqE0rra/HnKhdy5+LFU4sxbSc+bq6So9R2y7JcxUZ67Fp7Pev3\nyS5iPaT+WTvEmKX9i5tKi82g0gIAgGmotHDs+3zwTQ3oe7/XoGVZ6Rgtd8Dn6reWO//xsdMqgrgC\nwRu4r597A/j47nop0eE9j5fF1Qy5hIV33mmbuX1z515LCtSqS7zqgtb403bT9msJoPh4rdNRtqFU\n/RTbh1gPwaH206HGDQAAcCgWm7RonfLQY1OJhrHx9O7Xene891i1OGql+N6y3EC7J85aNUhpf69K\nIG0nXefFVUo2pNt4iYL4cU/VhnfucbLEq3DIxZabNuJVe9SmkNTOIbdsV8mKlnh7ppZsCwNpAAAA\nLMVikxYl+zCoiI2Np7cs2TtOaxulJMGYhEAtDm+Qnhs8l+LMTblIn5f2K1UYtFRvpMfLVXfk+mW9\nbXrutURIbjBdSi70vp5aElI960v7bXogXkv6tJr6ngQAAADwDUcyaTHFnIOyqW3lvg+gN57epMNY\nteO0rM8NLEv75JIb3v7eNIu0+iL9Vxq4l+JNp2540zVy1RfrdaU+qyUUeitkcn1TqtgoVYiUkkE9\ncU3dbs3r/97E4HqfTbynSHAAAADgKCJpob67uLWBYM/Aoqfcv7R/z8A1br/0vLWtXQykega7aT/2\nJni8REk6baMlRi/5sI7NSwbEsafxe4Nr73lt+kJr7HF7pekftcqYtP2e12DLNSxVy9S29ZJLtZhy\n7W6qKmSuNkl+AAAA4JCQtFD9zmhpkLipAcCmBxbeHfs5BkW1pEBpakdPm61VKrnzKlVXtGiprvAG\nxrmqitz55PrMm1KSThkpJR/SJIp3ft4UlNqUHK+/vTi9da3vwdI2rdNVWpI9Y2x6CsscDiFGAAAA\nYI0/eYqqWtVHbrBY6/94mzHfHdATZ+1uf66CoOV7IHoG27kpIvH6NKapSaU4AZEeN5e8Kh0v3XfO\nCoDWGHrbzD3v3X+f9gE8/MnTzeBPngIAMA1/8tRxaAmLTd7drU0pmNtcU0/S/Uvf/RC3kVYStCYs\n4v28fUr9WJsKUZpmkp6rt22LloqJeFkad64SxGsv3ncurTHEsbS0WXreu3/PPj3TqUhYAAAAAL7F\nJi2mDgK2PYiYkmSplcSPHQR7g/ra8b078N53NfSU8qfTB2rVD/HUCS8JkG6XtlWbrpCbIhEfs3ZO\n3vSMtB/TdkrfwxAfq7faJO2rXPvpMWrTqlItg3gvCZUz5j26zWSmF1/tGgEAAAD4/xabtJCmJR6m\nlL7v8q5p6zSL1rvZsVIJuzcYy22fG9z33jnvvWtdq26I2/S+g8HbphRD6ZzS6o40adCbaInXe1NA\nctNC0goSL+FSS6q09Efadu4YrevGVp/0JEVajWmH5AUAAADQZtFJi10NCOY8bi1J4B27ZzpGqTKg\nNlj0Bq61fXP7eEmClFfFkdumVOVROs9ckiVtuzY1wkvM5LbJTYmoxZz2X2uVR88UjPT4XhKgNF0k\n97rw2vGSHq2vZ4+3b5r0ycXZo3aNe/c9ComMo3COAAAAmMeikxap3gSAtLnBTKvcIH1Td5Br1RS9\nlQ7eILS3oiJtqzR4TisJSlUS6b6lSoDcvt72XpylttMpF7UqjVyCo/XapEmI+JrUKjxyxygdryUh\nlVtfS07lql9aqoJajlMy9nWc27eWkOux70mBXVajAQAA4LAcqaRFrVRfmv7FfS3HK7XbU/XQcqxS\n/OmUgVJbpTvhrbHU4khjao03d9zcwD+XLPCqMlr6Ik0Y1K6tN1UjV2GQJhZqg2CvAiO3PK18Sc8v\njSXdt0cpyeYdw9uvVOWRLhuToCzx4pjyu2GuxElP+wAAAMAhOlJJixYtg/K1TSQ05r5DWmqvZyA2\n5a5yj1qyYv08N8iNB9ylhEM61SM+fq1KIU1WpAkFLwlWSgLE25WqSNJj5apG0p/xOeYSdN5+tdi8\nWGsVD7mESk5rEi9NQM2tNbE2p32rlti3eAAAAHA0kLTYkdKgda11kDDnXdXeJI0Xb63qwBtIewPj\n3OAwHuym26RtlXgJhzS2noRGfPzc1ItUGnd6TqXBebzMO5c07jTp0pJASGPwKhnSJEocZ61qJd6m\nR6mSojWpMDVxuOlqhlKf7QLVGwAAANgFCyHsOgYdO3YsnDhxYvZ2ewYfYwcHvfu2br/JAUvLHfN0\n3abuLvfEkq7PVSXUziXX1lrv+eaOmVZ1tGzbsl8uYeBVpMTSbXPVKt4+tedevN72ADbLzO4MIRzb\ndRxLs6nPKQAAHBVTPqMciUqLloHZWL37tm4/NTlQOueegWU8GK0NQHMVDi2x5J6nVRvp4LxnQOwl\nLEpVDbVrUIsjHdDnqhHibWtTKeLHuZ9pbF6M6TSOXNu1a+lVVHjXrEfLtJHS+qnvnZb9e46xT9US\nAAAAwKFZbNIiN+Cby5wl7VOOnxtEtgy4W/sot10aQ2mKgbd96/SN+LEXd2kKgjedwdsvXZ6rhojb\n9GLLxV+rHqklMOLnpakRaRy5ZbXEQprMmZKca3nd515XpcREqR9qxyjJJY5ajuHtR6UJAAAAMB7T\nQw7ILue4t0xxSLct/ZTGTd/x9i2tb5mOkS5f799zzi3tt0zXaI25pbKjNmUlt3/62Gu7tG8LL8Zc\n+73VNbuYktIz5aa0f+450IrpIZvB9BAAAKaZ8hmFpEXFLhMFLccvrR8T+xyD8149bbQMyqV60iLd\nfq02hSQXd60qJDdALz32YsgZu4+XDMhVkLQOpOdKcMw1cPcSPS3nSOIAh4ikxWaQtAAAYBq+02Kk\n3rL1qW2NaWPK8Ut35Wv7thpbPh9vM+b7AUrTBnrb86ZApFM7vHL/loSGlwjIDZRL1zCNIX6e2z/X\nF7XXRS7GXDvp8dLkQK3iJKfl9ZH2ibe91zfp9Jja41ZLqu7y+hYAAADYtmqlhZndKOknJN0TQnjM\nsOxaSc+U9OlhsxeFEG4b1r1Q0jWS7pP0iyGEN9eC2NdKi6mVCruu0hirNe5alYeUrwCYqzokN4XB\ni2PK9JSY135pfW7QXrvb33PXvzatIhejV33gLZ8ygPfOt6eNuasdxsSxLb3XEUhRabEZVFoAADDN\npistbpJ0ubP8uhDCJcO/dcLiYklXSfq+YZ8/NrPTxgS2S2MqANa2cXfSG8DMOaipxV3qn9wg2Gu/\npbKkVA2w3r7U52lFgrdP6RzS/XLx1qo1aufQkpDw4sglyGr7xNUU6bK5EhbxMWrvi9w2La+nXt45\n1q5tzZyxtSzrrSjyHGJCFQAAAEdPNWkRQniHpM82tneFpJtDCF8JIXxE0klJl06Ibyd6y8tbls8h\nV70QL1s/HzslxDvPtGQ+PX5LtYE3gK/1c6lKIX2cqxJIH3sD81ySojalIG6n5fWRu4NeuxbeTy9G\nb3n6M01CtFZvlBImJek55s63dk3Sc/BiaB2El5Jt3uuoVGmzfr6J5EpJ6XXT0wYAAACw75q+iNPM\nLpD0xmR6yDMkfVHSCUnPDyF8zsz+SNLtIYS/HLa7QdKbQgi3Om0+S9KzJOn888///o9+9KMznA4A\nAEcX00M2g+khAABMs4sv4vwTSY+UdImkT0p6xToWZ1s3KxJCuD6EcCyEcOzss88eGQYAAAAAAFiq\nUUmLEMKnQgj3hRC+JunV+sYUkFOSzos2PVfSJ6aFCAAAAAAAjqJRSQszOyd6+hRJ7xseH5d0lZmd\naWYXSrpI0junhQgAAAAAAI6i02sbmNnrJF0m6SwzOyXpxZIuM7NLtJr6cbekZ0tSCOEuM7tF0vsl\n3SvpuSGE+zYTOgAAAAAAWLJq0iKEcLWz+IbC9i+V9NIpQQEAAAAAAIz9Ik4AAAAAAICNImkBAAAA\nAAD2EkkLAAAAAACwl0haAAAAAACAvUTSAgAAAAAA7CWSFgAAAAAAYC+RtAAAAAAAAHuJpAUAAAAA\nANhLJC0AAAAAAMBeImkBAAAAAAD2EkkLAAAAAACwl0haAACAxTCzy83sg2Z20sxe4Kw/08xeP6y/\nw8wu2H6UAACgFUkLAACwCGZ2mqRXSvpxSRdLutrMLk42u0bS50II3y3pOkkv226UAACgB0kLAACw\nFJdKOhlC+HAI4auSbpZ0RbLNFZJeMzy+VdITzMy2GCMAAOhA0gIAACzFIyR9PHp+aljmbhNCuFfS\nFyQ9bCvRAQCAbqfvOgBJuvPOOz9jZh+dudmzJH1m5jYxDddkv3A99gvXY/8c4jX5zl0HsGNexUQY\nsY3M7FmSnjU8/YqZvW9ibOhziO+/JaDft48+3w36ffu+Z+yOe5G0CCGcPXebZnYihHBs7nYxHtdk\nv3A99gvXY/9wTQ7SKUnnRc/PlfSJzDanzOx0SQ+S9Nm0oRDC9ZKul3gt7AJ9vhv0+/bR57tBv2+f\nmZ0Yuy/TQwAAwFK8S9JFZnahmd1P0lWSjifbHJf09OHxlZLeGkL4pkoLAACwH/ai0gIAAGCqEMK9\nZvY8SW+WdJqkG0MId5nZSySdCCEcl3SDpNea2UmtKiyu2l3EAACgZslJi+t3HQC+Cddkv3A99gvX\nY/9wTQ5QCOE2Sbcly34revxlSU/tbJbXwvbR57tBv28ffb4b9Pv2je5zoyISAAAAAADsI77TAgAA\nAAAA7KWDTVqY2Y1mdk/8J8jM7Foz+08ze8/w70nRuhea2Ukz+6CZ/dhuol4uMzvPzN5mZh8ws7vM\n7JeG5Q81s7eY2X8MPx8yLDcz+8PhmvyLmT1ut2ewLIXrwXtkR8zs/mb2TjN773BNfntYfqGZ3TG8\nR14/fHmgzOzM4fnJYf0Fu4x/aQrX4yYz+0j0HrlkWM7vrIUzs8uH338nzewFznrekxvQ0O+/ambv\nH953/2BmR/3P+s6i1u/RdleaWTAz/srCRC19bmY/Nbze7zKzv952jEvU8Dvm/OEz87uH3zNP8tpB\nO2+cnqzv/0wVQjjIf5J+SNLjJL0vWnatpF9ztr1Y0nslnSnpQkkfknTars9hSf8knSPpccPjB0r6\n96Hff1/SC4blL5D0suHxkyS9SZJJerykO3Z9Dkv6V7gevEd2d01M0gOGx2dIumN47d8i6aph+ask\nPWd4/POSXjU8vkrS63d9Dkv6V7geN0m60tme31kL/qfVl3Z+SNJ3Sbrf8Pvw4mQb3pO76fcflvRt\nw+Pn0O/b6fdhuwdKeoek2yUd23Xch/yv8bV+kaR3S3rI8Pzhu4770P819vv10WeviyXdveu4D/2f\nnHF6sr77M9XBVlqEEN4h5++qZ1wh6eYQwldCCB+RdFLSpRsL7ggKIXwyhPDPw+P/lvQBSY/Qqu9f\nM2z2Gkk/OTy+QtJfhJXbJT3YzM7ZctiLVbgeObxHNmx4rf/P8PSM4V+Q9COSbh2Wp++R9XvnVklP\nMDPbUriLV7geOfzOWrZLJZ0MIXw4hPBVSTdrdc1jvCfnV+33EMLbQghfGp7eLuncLce4RC2vd0n6\nHa1uPn15m8EtVEufP1PSK0MIn5OkEMI9W45xiVr6PUj69uHxgyR9YovxLVLDOL37M9XBJi0KnjeU\nmdy4noqg1WDt49E2p1QewGGCoWT2sVrdufyOEMInpdVAWtLDh824JluSXA+J98jOmNlpZvYeSfdI\neotW2f/PhxDuHTaJ+/3r12RY/wVJD9tuxMuWXo8Qwvo98tLhPXKdmZ05LOM9smwt15f35Px631fX\naHV3DtNU+93MHivpvBDCG7cZ2IK1vNYfJelRZvaPZna7mV2+teiWq6Xfr5X0NDM7pdVfnvqF7YR2\npHV/plpa0uJPJD1S0iWSPinpFcNy704IfzZlA8zsAZL+VtIvhxC+WNrUWcY1mZlzPXiP7FAI4b4Q\nwiVa3Sm8VNKjvc2Gn1yTDUuvh5k9RtILJX2vpB+Q9FBJvzFszvVYtpbry2tgfs19amZPk3RM0ss3\nGtHRUOx3M/sWSddJev7WIlq+ltf66VpNEblM0tWS/szMHrzhuJaupd+vlnRTCOFcraYtvHZ4D2Bz\nuv8/XdQFCSF8avgQ+jVJr9Y3yttPSTov2vRcUfozOzM7Q6sB8l+FEP5uWPypdbnP8HNd6sY12TDv\nevAe2Q8hhM9LertW8/gebGanD6vifv/6NRnWP0jtU+LQIboelw9Tq0II4SuS/ly8R46KluvLe3J+\nTe8rM3uipN+U9OThvYlpav3+QEmPkfR2M7tbq/+rjvNlnJO0/o55Qwjhf4epuh/UKomB8Vr6/Rqt\nvl9MIYR/knR/SWdtJbqjq/sz1aKSFslcmKdIWn9j6XFJVw3f/H2hVr8A3rnt+JZsmNd7g6QPhBD+\nIFp1XNLTh8dPl/SGaPnPDN8e+3hJX1hPI8F0uevBe2R3zOzs9R0TM/tWSU/U6rtG3ibpymGz9D2y\nfu9cKemtYfj2IkyXuR7/FiVZTavvF4nfI/zOWq53SbrIVn/N535afdHm8WQb3pPzq/b7ME3hT7VK\nWDDHfx5rKLhaAAABrElEQVTFfg8hfCGEcFYI4YIQwgVafZfIk0MIJ3YT7iK0/I75e62+eFZmdpZW\n00U+vNUol6el3z8m6QmSZGaP1ipp8emtRnn0dH+mOr20cp+Z2eu0Kp86a5iD9GJJl9nqz9MFSXdL\nerYkhRDuMrNbJL1f0r2SnhtCuG8XcS/YD0r6aUn/OswRl6QXSfo9SbeY2TVa/VJ46rDuNq1KsE5K\n+pKkn91uuIuXux5X8x7ZmXMkvcbMTtMqYXxLCOGNZvZ+STeb2e9q9a3hNwzb36BVieJJre7mXrWL\noBcsdz3eamZna1W6+B5JPzdsz++sBQsh3Gtmz5P0Zq2+bf7G4ffiSySdCCEcF+/J2TX2+8slPUDS\n3wzfe/qxEMKTdxb0AjT2O2bU2OdvlvSjw+eC+yT9egjhv3YX9eFr7PfnS3q1mf2KVp+Pn0FCeprM\nOP0MSQohvEojPlMZ1wQAAAAAAOyjRU0PAQAAAAAAy0HSAgAAAAAA7CWSFgAAAAAAYC+RtAAAAAAA\nAHuJpAUAAAAAANhLJC0AAAAAAMBeImkBAAAAAAD2EkkLAAAAAACwl/4P4eNsNPiMRQkAAAAASUVO\nRK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f08fc58a198>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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bfo8ozYyD1LKDvnmgeLTtN1Z3M8fEn17P1YZkv59ot3EEG4dUrN+ewfAT89CK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\nAYhdceUDYpK2vgxsHtLFNv+SA23dDv0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NR6Y23302WdnXamnCByJ/Q4tn1F65lI6+VKSk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\nxP8Pe3KWZgLlpHIAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f08fc44ad68>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10,10))\n",
    "newdist = np.loadtxt('cart-1.2.2/'+str(dimx)+str(dimy)+str(dist_type)+'.dat')\n",
    "data=np.loadtxt(PATH+'xy512512hot1.dat')\n",
    "plt.plot(data[:,0],data[:,1],'ks',ms=4)\n",
    "plt.imshow(newdist)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "#dat2 = np.loadtxt('cart-1.2.2/xy'+str(dimx)+str(dimy)+str(dist_type)+'.dat')\n",
    "\n",
    "\n",
    "dat2 = np.loadtxt('cart-1.2.2/xy'+str(dimx)+str(dimy)+str(dist_type)+'.dat')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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3u3D06FG1npubmzh//gIASYMl5Pz8rj1a0EHzX0ojHSNkv5l0kCIBeGHO+amU0mUAfhfA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\nl9vb6g8ODo49Ysjqofhoif1XyitxSUTLt0m0QXP58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W1dP84inaL2iNoM1c9iZNZOni7T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9T4Agf4fL8MoL2x4Eo088ScGwJrV+rNQxSLQnEKSnFrQ72ucXXzH7i+RYwW0vd30t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\nay6Lte/pvVkAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f08fc41dd68>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "file = open(PATH+\"exp_cart.sh\",\"w\") \n",
    "file.write(\"#!/usr/bin/env bash\\n\") \n",
    "file.write(\"./cart \"+str(dimx) +\" \"+str(dimy)+\" \"+str(dimx)+str(dimy)+str(dist_type)+'.dat '+str(dist_type)+\"out.dat\"+\"\\n\")\n",
    "file.close() \n",
    "\n",
    "# MAKE EXECUTABLE\n",
    "p=subprocess.call(['chmod','a+x',PATH+\"exp_cart.sh\"])\n",
    "\n",
    "\n",
    "p=subprocess.Popen(['./exp_cart.sh'], cwd =PATH) # makes expout.dat\n",
    "p.wait()\n",
    "#p=subprocess.Popen(['./gauss_cart.sh'], cwd =PATH)\n",
    "#p.wait()\n",
    "\n",
    "N=1                                      # number of clusters\n",
    "f, axs = plt.subplots(1, 2,figsize=(15,7))\n",
    "\n",
    "plt.tight_layout(pad=1.4, w_pad=5.5, h_pad=13.0)\n",
    "axs = axs.ravel()\n",
    "data_list = [dat2]\n",
    "titles = [\"hot\",\"Exp Diffused\"]\n",
    "types = ['hot']\n",
    "\n",
    "dat = np.zeros([1,2])\n",
    "dat4 = np.zeros([1,2])\n",
    "\n",
    "for k,j in enumerate([0]):\n",
    "    \n",
    "    features = data_list[k]\n",
    "    codebook, distortion = kmedians(features,N)\n",
    "    code, dist= vq(features,codebook)\n",
    "    \n",
    "    for i in range(N):\n",
    "        \n",
    "        # MAKE SHELL SCRIPT \n",
    "        file = open(PATH+\"interp\"+types[k]+str(i)+\".sh\",\"w\") \n",
    "        file.write(\"#!/usr/bin/env bash\\n\") \n",
    "        file.write(\"cat \"+types[k]+str(i)+\".dat | ./interp \"+str(dimx)+\" \"+str(dimy)+\" \"\\\n",
    "                   +types[k]+\"out.dat > \"+types[k]+\"out\"+str(i)+\".dat\\n\")\n",
    "        file.write(\"cat \"+\"dif\"+types[k]+str(i)+\".dat | ./interp \"+str(dimx)+\" \"+str(dimy)+\" \"\\\n",
    "                   +types[k]+\"out.dat > \"+\"dif\"+types[k]+\"out\"+str(i)+\".dat\\n\")\n",
    "        file.close()  \n",
    "                    \n",
    "        # MAKE EXECUTABLE\n",
    "        p=subprocess.call(['chmod','a+x',PATH+\"interp\"+types[k]+str(i)+\".sh\"])\n",
    "        # save data to go to interp\n",
    "        x = features[code==i,0]\n",
    "        y = features[code==i,1]\n",
    "        \n",
    "        \n",
    "        np.savetxt(PATH+types[k]+str(i)+'.dat',np.column_stack([x,y]),fmt ='%.18f',delimiter=' ')\n",
    "        np.savetxt(PATH+\"dif\"+types[k]+str(i)+'.dat',np.column_stack([codebook[:,0],codebook[:,1]]),fmt ='%.18f',delimiter=' ')\n",
    "        \n",
    "        # plot\n",
    "        axs[j].plot(x,y,',', c=colors[i%len(colors)])\n",
    "        \n",
    "        # call interp\n",
    "        p = subprocess.Popen(['./'+\"interp\"+types[k]+str(i)+\".sh\"], cwd =PATH) # makes expout.dat\n",
    "        p.wait()        \n",
    "        \n",
    "        # loads data to run through interp shell script\n",
    "        data=np.loadtxt(PATH+types[k]+'out'+str(i)+'.dat') #Gaussout0.dat\n",
    "        \n",
    "        \n",
    "        axs[j+1].plot(data[:,0],data[:,1],',', c=colors[i%len(colors)])\n",
    "        if types[k]==\"exp\":\n",
    "            dat = np.append(dat,data,axis=0)\n",
    "        elif types[k]==\"gauss\":\n",
    "            dat4 = np.append(dat4,data,axis=0)\n",
    "        \n",
    "        # delete used shell script\n",
    "        p = subprocess.call(['rm',PATH+\"interp\"+types[k]+str(i)+\".sh\"])\n",
    "        \n",
    "        p = subprocess.call(['rm',PATH+types[k]+\"out\"+str(i)+\".dat\"])\n",
    "        p = subprocess.call(['rm',PATH+types[k]+str(i)+\".dat\"])\n",
    "        \n",
    "        \n",
    "                             \n",
    "        axs[j].plot(codebook[:,0],codebook[:,1],'ko',ms=3)\n",
    "    \n",
    "        dif_medians = np.loadtxt(PATH+'dif'+types[k]+'out'+str(i)+'.dat')\n",
    "        if N>1:\n",
    "            axs[j+1].plot(dif_medians[:,0],dif_medians[:,1],'ko',ms=3)\n",
    "        else:\n",
    "            axs[j+1].plot(dif_medians[0],dif_medians[1],'ko',ms=3)\n",
    "        \n",
    "for j in range(2):    \n",
    "    axs[j].set_title(titles[j])\n",
    "plt.setp([a.get_xticklabels() for a in f.axes], visible=False)\n",
    "\n",
    "\n",
    "\n",
    "file = open(PATH+\"interp\"+types[k]+str(i)+\".sh\",\"w\") \n",
    "file.write(\"#!/usr/bin/env bash\\n\") \n",
    "file.write(\"cat xy512512hot1.dat | ./interp \"+str(dimx)+\" \"+str(dimy)+\" \"\\\n",
    "           +types[k]+\"out.dat > \"+types[k]+\"out\"+str(i)+\".dat\\n\")\n",
    "file.close()  \n",
    "\n",
    "# MAKE EXECUTABLE\n",
    "p=subprocess.call(['chmod','a+x',PATH+\"interp\"+types[k]+str(i)+\".sh\"])\n",
    "\n",
    "p = subprocess.Popen(['./'+\"interp\"+types[k]+str(i)+\".sh\"], cwd =PATH) # makes expout.dat\n",
    "p.wait()    \n",
    "\n",
    "data=np.loadtxt(PATH+types[k]+'out'+str(i)+'.dat')\n",
    "\n",
    "axs[1].plot(data[:,0],data[:,1],'ko')\n",
    "\n",
    "data=np.loadtxt(PATH+'xy512512hot1.dat')\n",
    "axs[0].plot(data[:,0],data[:,1],'ko')\n",
    "\n",
    "\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
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      "6.625\n",
      "6.625\n",
      "6.625\n",
      "6.625\n",
      "3.3125\n",
      "6.625\n",
      "6.625\n",
      "6.625\n",
      "6.625\n",
      "6.625\n",
      "6.625\n",
      "6.625\n",
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      "6.625\n",
      "6.625\n",
      "3.3125\n",
      "3.3125\n",
      "3.3125\n",
      "3.3125\n",
      "3.3125\n",
      "3.3125\n",
      "3.3125\n",
      "3.3125\n",
      "6.625\n",
      "6.625\n",
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      "6.625\n",
      "3.3125\n",
      "6.625\n",
      "6.625\n",
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      "6.625\n",
      "3.3125\n",
      "3.3125\n",
      "3.3125\n",
      "3.3125\n",
      "3.3125\n",
      "3.3125\n",
      "6.625\n",
      "3.3125\n",
      "3.3125\n",
      "3.3125\n",
      "6.625\n",
      "6.625\n",
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      "6.625\n",
      "3.3125\n",
      "3.3125\n",
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      "3.3125\n",
      "3.3125\n",
      "3.3125\n",
      "3.3125\n",
      "3.3125\n",
      "6.625\n",
      "6.625\n",
      "3.3125\n",
      "6.625\n",
      "3.3125\n",
      "6.625\n",
      "3.3125\n",
      "6.625\n",
      "3.3125\n",
      "6.625\n",
      "3.3125\n",
      "6.625\n",
      "6.625\n",
      "6.625\n",
      "6.625\n",
      "6.625\n",
      "6.625\n",
      "6.625\n",
      "3.3125\n",
      "6.625\n",
      "3.3125\n",
      "6.625\n",
      "6.625\n",
      "6.625\n",
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      "6.625\n",
      "3.3125\n",
      "6.625\n",
      "3.3125\n",
      "3.3125\n",
      "3.3125\n",
      "3.3125\n",
      "3.3125\n",
      "3.3125\n",
      "3.3125\n",
      "3.3125\n",
      "6.625\n",
      "6.625\n",
      "3.3125\n",
      "6.625\n",
      "3.3125\n",
      "6.625\n",
      "3.3125\n",
      "6.625\n",
      "3.3125\n",
      "6.625\n",
      "3.3125\n",
      "6.625\n",
      "6.625\n",
      "6.625\n",
      "6.625\n",
      "6.625\n",
      "6.625\n",
      "6.625\n",
      "3.3125\n",
      "6.625\n",
      "3.3125\n",
      "6.625\n",
      "6.625\n",
      "6.625\n",
      "6.625\n",
      "6.625\n",
      "6.625\n",
      "6.625\n",
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      "6.625\n",
      "6.625\n",
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      "6.625\n",
      "3.3125\n",
      "3.3125\n",
      "3.3125\n",
      "3.3125\n",
      "3.3125\n",
      "3.3125\n",
      "6.625\n",
      "3.3125\n",
      "6.625\n",
      "6.625\n",
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      "6.625\n",
      "3.3125\n",
      "6.625\n",
      "3.3125\n",
      "6.625\n",
      "6.625\n",
      "6.625\n",
      "6.625\n",
      "6.625\n",
      "6.625\n",
      "6.625\n",
      "3.3125\n",
      "6.625\n",
      "3.3125\n",
      "6.625\n",
      "6.625\n",
      "6.625\n",
      "6.625\n",
      "6.625\n",
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      "6.625\n",
      "3.3125\n",
      "3.3125\n",
      "3.3125\n",
      "3.3125\n",
      "3.3125\n",
      "6.625\n",
      "3.3125\n",
      "3.3125\n",
      "3.3125\n",
      "3.3125\n",
      "3.3125\n",
      "3.3125\n",
      "3.3125\n",
      "6.625\n",
      "3.3125\n",
      "6.625\n",
      "3.3125\n",
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      "6.625\n",
      "3.3125\n",
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      "6.625\n",
      "6.625\n",
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      "6.625\n",
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      "6.625\n",
      "3.3125\n",
      "6.625\n",
      "3.3125\n",
      "6.625\n",
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      "6.625\n",
      "6.625\n",
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      "6.625\n",
      "3.3125\n",
      "6.625\n",
      "3.3125\n",
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      "3.3125\n",
      "3.3125\n",
      "3.3125\n",
      "3.3125\n",
      "3.3125\n",
      "6.625\n",
      "3.3125\n",
      "6.625\n",
      "3.3125\n",
      "6.625\n",
      "6.625\n",
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      "6.625\n",
      "3.3125\n",
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      "3.3125\n",
      "3.3125\n",
      "3.3125\n",
      "3.3125\n",
      "3.3125\n",
      "3.3125\n",
      "6.625\n",
      "6.625\n",
      "3.3125\n",
      "3.3125\n",
      "3.3125\n",
      "3.3125\n",
      "3.3125\n",
      "6.625\n",
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      "6.625\n",
      "3.3125\n",
      "3.3125\n",
      "3.3125\n",
      "3.3125\n",
      "3.3125\n",
      "3.3125\n",
      "3.3125\n",
      "6.625\n",
      "6.625\n",
      "3.3125\n",
      "3.3125\n",
      "3.3125\n",
      "3.3125\n",
      "3.3125\n",
      "6.625\n",
      "6.625\n",
      "3.3125\n",
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      "3.3125\n",
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      "3.3125\n",
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      "3.3125\n",
      "3.3125\n",
      "6.625\n",
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      "6.625\n",
      "3.3125\n",
      "3.3125\n",
      "3.3125\n",
      "3.3125\n",
      "3.3125\n",
      "3.3125\n",
      "3.3125\n",
      "6.625\n",
      "6.625\n",
      "3.3125\n",
      "3.3125\n",
      "3.3125\n",
      "3.3125\n",
      "3.3125\n",
      "6.625\n",
      "6.625\n",
      "6.625\n",
      "3.3125\n",
      "3.3125\n",
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      "3.3125\n",
      "3.3125\n",
      "3.3125\n",
      "6.625\n",
      "3.3125\n",
      "3.3125\n",
      "6.625\n",
      "6.625\n",
      "6.625\n",
      "6.625\n",
      "6.625\n",
      "6.625\n",
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      "6.625\n",
      "6.625\n",
      "3.3125\n",
      "3.3125\n",
      "3.3125\n",
      "3.3125\n",
      "3.3125\n",
      "3.3125\n",
      "3.3125\n",
      "6.625\n",
      "6.625\n",
      "3.3125\n",
      "3.3125\n",
      "3.3125\n",
      "3.3125\n",
      "3.3125\n",
      "6.625\n",
      "6.625\n",
      "3.3125\n",
      "3.3125\n",
      "6.625\n",
      "3.3125\n",
      "6.625\n",
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      "6.625\n",
      "3.3125\n",
      "3.3125\n",
      "3.3125\n",
      "3.3125\n",
      "3.3125\n",
      "3.3125\n",
      "3.3125\n",
      "3.3125\n",
      "6.625\n",
      "6.625\n",
      "3.3125\n",
      "3.3125\n",
      "3.3125\n",
      "3.3125\n",
      "3.3125\n",
      "6.625\n",
      "6.625\n",
      "3.3125\n",
      "3.3125\n",
      "6.625\n",
      "3.3125\n",
      "6.625\n",
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      "6.625\n",
      "3.3125\n",
      "3.3125\n",
      "3.3125\n",
      "3.3125\n",
      "3.3125\n",
      "3.3125\n",
      "3.3125\n",
      "6.625\n",
      "3.3125\n",
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      "6.625\n",
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      "6.625\n",
      "3.3125\n",
      "3.3125\n",
      "3.3125\n",
      "3.3125\n",
      "3.3125\n",
      "3.3125\n",
      "6.625\n",
      "6.625\n",
      "3.3125\n",
      "3.3125\n",
      "3.3125\n",
      "3.3125\n",
      "3.3125\n",
      "6.625\n",
      "6.625\n",
      "3.3125\n",
      "3.3125\n",
      "6.625\n",
      "3.3125\n",
      "6.625\n",
      "6.625\n",
      "6.625\n",
      "3.3125\n",
      "3.3125\n",
      "3.3125\n",
      "3.3125\n",
      "3.3125\n",
      "3.3125\n",
      "3.3125\n",
      "3.3125\n",
      "6.625\n",
      "6.625\n",
      "3.3125\n",
      "3.3125\n",
      "3.3125\n",
      "3.3125\n",
      "3.3125\n",
      "6.625\n",
      "6.625\n",
      "3.3125\n",
      "3.3125\n",
      "6.625\n",
      "3.3125\n",
      "6.625\n",
      "6.625\n",
      "6.625\n",
      "3.3125\n",
      "3.3125\n",
      "6.625\n",
      "3.3125\n",
      "3.3125\n",
      "3.3125\n",
      "3.3125\n",
      "3.3125\n",
      "3.3125\n",
      "3.3125\n",
      "3.3125\n",
      "3.3125\n",
      "3.3125\n",
      "6.625\n",
      "3.3125\n",
      "6.625\n",
      "6.625\n",
      "6.625\n",
      "3.3125\n",
      "3.3125\n",
      "6.625\n",
      "3.3125\n",
      "3.3125\n",
      "3.3125\n",
      "3.3125\n",
      "3.3125\n",
      "3.3125\n",
      "3.3125\n",
      "3.3125\n"
     ]
    }
   ],
   "source": [
    "def interpolate(x,y):\n",
    "    xvals = np.linspace(0, 2*np.pi, 50)\n",
    "    yinterp = np.interp(xvals, x, y)\n",
    "\n",
    "\n",
    "data=np.loadtxt(PATH+'xy512512hot1.dat')\n",
    "distance = np.zeros([len(data),len(data)])\n",
    "for i,x in enumerate(data):\n",
    "    for j,y in enumerate(data):\n",
    "        \n",
    "        distance[i,j]=np.sqrt(np.sum(x-y)**2)\n",
    "distance_map = np.sort(list(set(distance.flatten())))[1:4]\n",
    "\n",
    "\n",
    "for i,x in enumerate(data):\n",
    "    for j,y in enumerate(data):\n",
    "        if np.sqrt(np.sum(x-y)**2) >0 and np.sqrt(np.sum(x-y)**2)< distance_map[-1]:\n",
    "            print(np.sqrt(np.sum(x-y)**2))\n",
    "        \n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "bin_min = 190\n",
    "bin_max = 265\n",
    "\n",
    "#axs[1].plot([bin_min, bin_min,bin_max,bin_max,bin_min], [bin_min,bin_max,bin_max,bin_min,bin_min], 'k-',lw=.5) \n",
    "#axs[3].plot([bin_min, bin_min,bin_max,bin_max,bin_min], [bin_min,bin_max,bin_max,bin_min,bin_min], 'k-',lw=.5) \n",
    "    \n",
    "    \n",
    "## Histograms\n",
    "binsize = 30\n",
    "bigbin = 20\n",
    "\n",
    "## exp raw\n",
    "Hexdat,xedge,yedge=np.histogram2d(dat2[:,0],dat2[:,1],bins=[binsize,binsize],range=[[200, 270], [200, 270]]) \n",
    "\n",
    "H,xedge,yedge=np.histogram2d(dat[:,0],dat[:,1],bins=[binsize,binsize],range=[[bin_min, bin_max], [bin_min, bin_max]]) #BINS = SIZE/2*PIXELGAP\n",
    "\n",
    "## Gauss Raw\n",
    "H2,xedge,yedge=np.histogram2d(dat3[:,0],dat3[:,1],bins=[binsize,binsize],range=[[200, 300], [200, 300]]) #BINS = SIZE/2*PIXELGAP\n",
    "\n",
    "H3,xedge,yedge=np.histogram2d(dat4[:,0],dat4[:,1],bins=[binsize,binsize],range=[[bin_min, bin_max], [bin_min, bin_max]]) #BINS = SIZE/2*PIXELGAP\n",
    "\n",
    "\n",
    "plt.axes([0.05, 0.475, .4, .1] )\n",
    "plt.hist(Hexdat.flatten(),bins = 25,histtype = \"bar\")\n",
    "plt.yscale('log', nonposy='clip')\n",
    "plt.axes([0.57, 0.475, .4, .1] )\n",
    "plt.hist(H.flatten(),bins = 25,histtype = \"bar\")\n",
    "plt.yscale('log', nonposy='clip')\n",
    "\n",
    "plt.axes([0.05, -0.1, .4, .1] )\n",
    "plt.hist(H2.flatten(),bins = 25,histtype = \"bar\")\n",
    "plt.yscale('log', nonposy='clip')\n",
    "plt.axes([0.57, -0.1, .4, .1] )\n",
    "plt.hist(H3.flatten(),bins = 25,histtype = \"bar\")\n",
    "plt.yscale('log', nonposy='clip')\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "print(range(N)[-1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
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   "file_extension": ".py",
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