{
 "metadata": {
  "name": ""
 },
 "nbformat": 3,
 "nbformat_minor": 0,
 "worksheets": [
  {
   "cells": [
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "import CoolProp\n",
      "import CoolProp.CoolProp as CP\n",
      "from math import sqrt\n",
      "import numpy as np\n",
      "import matplotlib.pyplot as plt\n",
      "import scipy.optimize\n",
      "%matplotlib inline"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 1
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "# Calculate the saturation curves for all fluids\n",
      "acc = [CP.Props(fluid,'accentric') for fluid in CoolProp.__fluids__]\n",
      "mm = [CP.Props(fluid,'molemass') for fluid in CoolProp.__fluids__]\n",
      "pc = [CP.Props(fluid,'pcrit') for fluid in CoolProp.__fluids__]\n",
      "Tc = [CP.Props(fluid,'Tcrit') for fluid in CoolProp.__fluids__]\n",
      "\n",
      "ms = []\n",
      "for fluid in CoolProp.__fluids__:\n",
      "    Tc = CP.Props(fluid,'Tcrit')\n",
      "    rhoc = CP.Props(fluid,'rhocrit')\n",
      "    pc = CP.Props(fluid,'pcrit')\n",
      "    T = np.linspace(CP.Props(fluid,'Tmin'),Tc-0.5,200)\n",
      "    pV = CP.Props('P','T',T,'Q',1,fluid)\n",
      "    plt.plot(Tc/T-1,np.log(pV/pc))\n",
      "    \n",
      "    # m is the mean slope in plot coordinates\n",
      "    ms.append(np.mean(np.log(pV/pc)/(Tc/T-1)))\n",
      "    \n",
      "    \n",
      "plt.xlabel('$T_c/T-1$')\n",
      "plt.ylabel('$\\ln(p/p_c)$')"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 2,
       "text": [
        "<matplotlib.text.Text at 0x5b0ac90>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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h4ocCbt7TYdQoCypFdGPG88uUdpjBlDuaSAWBXMuVFDnHUiJdRLU7NrivcmRM\n1jquWASAljlmKhUHfQyxSA+nuPgteZYTWRtjS9eduwi7fBnNvn3RmDgRbMVLb0Wir4EYELW/dkAA\nFApo3ZoSCwuqPXxIt+7dadOmFw0bQr+h33PGdDZORiHcNe7P2PhCZi0LwsbuHLlxM5EOnkreynqo\nFEUEBASirZ2OUcpYRnwcjK3eHW7bHWSUbyyGD3QZEKzP5mPZ+DR0ZJpZFU5+b8A2G11a1G5D76Na\nJHi95SNTUXVqjPuGgZi6G1JhoTEt731HgrwxSHTw0dbhoEcJxckzUKlKyLCYzKoYI3rv3k2H8+fR\n7N4djfBw8dCWSPSFEwOi9tcPCEBBAYSEkF+/PlWOHWPs2LHUqdOahg01GTV+CycMFmNvUJf7hn0Z\nk1LMnFX+GBs9ouTdCAyHjydjcyBFH2ypVUuLtDQXKstH0OhOEJX0TLEqmUZ7NwmvFcksrVWDvfdv\nEptuwrTBJth/341pL4+TFTabcYk6uCZoUuC4k9dWZymsP59m8yqiN9waoWsG/aNvkuRSBSQSWpqb\ns84untTEmWhqmvPObBIrY6T0OnQIh9mzCXVyEi+1FYm+YGJA1L6MgACkpUFwMOkDBxKwdi0LFy7E\nyyuEJk20mTT9Ww5qrkZu0pDb+j2ZkJJD+PrKSCUpyDL7YNa1D6lRDci554u//wOSk8No33Y10u/f\n0EnSGjflLDa1cWCH1VmaZtZAX/sBWw4U06CHE8Pz63D4hJKdZiqqtunFmP1SMuw+ki+ZQlFTB8pi\nZxJ0Vx+v7zxIc0qnfVQUme7uSIDJLnJG6EWTmDgHfX0/3pqMY8YHfUxkMsLlchqamoohEYm+QGJA\n1L6cgAC8fg316pE0ezbV585l3bp1WFkF0rKlDjPnz2e3ahsVzJsSrd2ZiR8yWbTDl+LcEkwUnTAL\naUF8SRdy9gdgb78VpXIqYWE3SPh+CWNLRmFveIhXbs/Z7JPJW81SRsssWHX6KcUGdszraoDuji5M\ni/2e9y3CGaTSJ+SGFlluZ3hquBbNbhPwXdgQAx99Gq/zZXfMdcakpaGwt0dPENjt50VQ+VESExdi\natqIp4YjmfVewEZLi3AXF+qZmHzumRWJRL+DGBC1LysgALdvQ+vWvFy+nLrjx7Nv3z6k0oqEhekw\nb8lMNpXso5JVKyJlbZmQlcu3+z1Ji9fGQbc1Rj41eOk5ioJFfujqLkUun4+vbyZFrwbTJ7Y3rjYZ\nGOfNZ357DODFAAAgAElEQVRbfw6ZXGR8egixBdc5fl5C95FWtH/Wmn0XMthvDE69+jLpECArplhv\nNh+qlZDusoBW35hhMM6W4IkujDiwjy3GxghGRjjLZJwNqIhu5kaSk1djadWZe3qDmZ1chIuODuEu\nLgSL94+IRF8EMSBqX15AAE6ehEGDuLdiBS1Gj+bEiRNkZdnRo4c+C1dMZG3eUQJt23FFowXj8wvZ\nFiHn5T0L3C2aYeBYgRfNZlM4xh1BtZaaNYdTXm6Oj+t4fE+5UsPUA/fMEXzTKZgTRiewzqtIO7Ms\nFu96j5mvnPkNjCjZ0oGZKdtJbLCYzna6dDmiSYbbHWJ05mHQqSuSs93xi9ek8vqKGAZIabtnDzc9\nPUFTk0YmJhz0cSAjeSkfPuzAxnYwN7R7MfddNhX19Ah3cSHIyOhzz7BIJPo3xICofZkBAdi4Eb75\nhivz59N19GguXLjA27eGDBxoyJJvR7Ey6yy17DpwkSaMKSrmxDUnok454iNvjKahObEDllEy1Jni\nvAgaNPDnzZs69OyxkYzVD+mq2RG59mJu+AgckydxzSyDeYUBnHwdxa2neowfr0+NE4PY9egZR/Rk\nmHTpw/TL5RgXSigzW8IL97eUNA+nzjQXtGsZ0uQ7X17kxtPiwgU+eHujoVIxxc2NmXYyEhPDycw8\niZ3DBC5K2zP/3UcqGxgwVy4nwFD8pEKR6K9IDIjalxsQgJkz4fx5jo0axfBJk4iMjOTWLRVjxxqz\ndM0QlqZdo4FDZ86qGjBKoeDGAwcidrhQuWITypWQMWUtJWOcyEp6SmBgIvHxoxkxIoo73y5ibNkY\nHFxvUJ67m1XNKnHI7Cyd4xtjZ3OTlVuLqNrakbGWPmTuD2ZW5mZSFIvoVimPDokufHR9TpJsKgah\nDUktHUGjbZqYTnOg5lhX9ly/ysDERMqcndFTKtnr708j/Uzi46eTn38fB+c5nFA2ZNG7FIKMjJgr\nl1PpMzxjSyQS/WtiQNS+7IAIAvTrB+npbG7RgiXLlxMdHc2xY9nMnm3Aig39mJNwj+bOPThVXodh\nSiXPYuTsWuNEYJUW5GVmolyyncLZjry/n42z80bKy7fQpUsKj88MYEjKENw9yrF9NYypfTpwV9hN\nWakbkwx1WHX+CWlKK+YP0cRx/VjWJp3iUqkRBkZdmGYvxTpLj3Kr73hgF4VRt6mYramGPF9G4EYv\nbINNGLN3L2sNDBCMjZHLZJyvVg3r8sfExk5CqczDQb6AA8WVWZKcTB1jY8Llcirq63/uGReJRIgB\n+dGXHRBQ32jYogVUqEC4pSXHjx/n2rVrrF37nvXrZSxd240ZsXF0cOnL4ZJqDAfexsrZsMSJ2jXb\n8+7tKyzW7iNjkzMJx6QYGAzF0TECf3/QKBlK4JUAqlt445IxjE3NA3klucVRh3RmpjTijeosB05q\n0GOUNW3eNiXuijXh2TvIUnxLG69kun/wJsMpnixhIkKwDyn+M2gwQxvNxsY0WeVDgWYRrfbs4aaH\nB0ilNDYz47CfH6W5Z4iLm4KWlg228kXsyLNj2bt3tDQ3Z7azM3Jd3c896yLR39p/GhDJpx+K6L+i\nqQmHDsHVq8w0NqZ69eqEhYUxbpwLHTsqmTNxEws8Lfk+dht9DGJYLZHg45bAmFkpRN08hqtvVVIH\ntsdjQBzyoeUUFe3izZvGvH2bRVL6DrJHlbE97TAvNTbS514eXV5bItdtxCy3s6QWN2PhQBuObUxl\nfFYkVhNOs8NqFsE6Szj78jb9FJnkYIzb+4O4R9oj3R/Gq3kXidYu4ELFW8TtyiZq2HDuOTpi9fw5\nF7KyMLl2jZV5flSr9gQrq27ExrSnZf5EnvmZ46itTbUHDxjx+jWppaWfe+ZFItHvJO6B/FUlJECt\nWijXraPTrl1oamqyd+8++vWL4/nzVMaGd2diTAETfaewssCVWSoViekeLJhiT5Pmw3l4PYL6Ww8Q\nfduTD0ts0KADVarMIju7HpMmnef7Cd/QfVon2r+5T/rp07Qf3IEYyVbM37syT7Bj7/Or/BBvwtSp\nWlQ63J/Hr/JYmn6QvPLNNKoYQ5+sKuRbpFCunEB6VTtyO87HfaYB1ppa1Nrqg6W/EZtOn2bkx48o\nHB2Rl5VxoHZtqhrISE5exbt3K7G27oqB7WSWfShhx4cPDLC1ZZKTE+aamp979kWivxXxEJba1xMQ\ngDt3oFUrSiMiaDx5Mv7+/ixfvoqwsATy8mLoN7kPE56WMycgnIV59iwEkrPcmTHGlhZhU7l9dgcd\nd3zPkVde5ExzQoN+uLnVIj19NMuXv2XhwjaEhISwokoVSidOZGC/PpyyOYKyIJfhz9sgs4lg3e5S\n6vZwZ7CxKxo72jEnZwWvyuog1avPJC8lvm+tEKz3cM18L/LmA0iR9qTeklI0e5jTaJEXSk0lw7Zs\nYYe+Pmhr08jVlW3+/lho5JGYOI+0tH04OIxGajWchckZHPr4kZEODox1cMBIJvvc3wGR6G9BDIja\n1xUQgMOHYexYcs+fp06XLnTr1o2xY6cQGpqIqektWg8ewtTnGiyqsoiZBdas0tbmfbYz4wdb0aLD\nYm6eXMXg3TvZmOxH8ThXVOUTMDMroqxsO+HhRZw92528vDyOz5oFPXqwOTiYpbWyySu4hf+DDgz0\n/IFFh99QbCZn8dASrFeN52rmQzZmX6OwdCf1vCLpnV8Tpe5HlEwiyV8fjW7z0dlkhddj8PzOA692\ntiQlJ9N++3Ye+PkhLSpiUo0azJLLUZXGExc3ndzcSOTy2RSbdGNuYjLns7KY6OjIcHt7dKXSz/1d\nEIm+amJA1L6+gAAsWQIHDpB64ADBjRsza9YsOnbsS+3a76hc+QxBHSYx+4WEFZW/YVKxBesNDPiY\n48jQPuY077iamyfmM37XepbnBaIc6UFJwWK0tS9iYHCV3r11UammcfjwIc7s2oXF5Mk8zstjQM9g\nUkp24qByY1yqPVdTr3E2Sodhk0yp/awJZReqMC17CSnKXmjoeDKhsoqA5/YI1oe5bLmZCsG9eV9l\nMH6TC9GppE/jjb7oO+hyPiqK7hcukBUUhKFCwbZatQiztCQ//wFxcZMoLX2Pq+si0nQbMTshgdt5\necxwdqa/rS1aEvGUnUj0RxADovZ1BkQQYOBA+PiRV4sXE9KwIZs3b6Z69RbUqPGBVq324Fh/IUte\nS/nWewljFOZsNTMjK8+Ovl1MaNJhE7cjZjB561KWUg/pqIrkftyGjs4azM2vU7WqHY0b72L69Ins\n2r6d2pcvk717N52G9uUHnc1ooqRHQjCOJvdYvKkQ9waeTKmtj+HS0RxWHuBI4Vvyi7dR3/swXUoa\noaXKAdkkXvhKMO04i4JIDwIPlGI6zYHgcW6oULF4zx7mfvyI0sMDHxMTDlSrRkV9fbKyzhEXNxmp\n1BA3t6W8lVRiRnw8r4qKmC2X08PaGqn4wEaR6JMSA6L2dQYE1Jf3Nm0Kfn7c6dqVli1bcvLkSezs\nAqlePZsRI1aA9ya+i5Oy2mMRwwVz9tjakp1tSbcOBjTptINbR6cwfeNUvjFsjfb4CqTHn8PUdCa6\nurswNw9i+vSbDBnSkWnTpjHMxoaCAQMY3asnJ11vUVz0gibKeoQVZrDi3DMSCq1YMLkMu52jyYuT\nMi1zJRnlM5FpqxhbVYfAJy4orY5zzXwt3r7dyGo/BpNpBdiUy6i51QebIBNycnLou3YtJ5yc0NDS\noru3N2u8vDCSapCWtof4+JkYGATg6rqIhwpbpsfHk6FQEC6XE2ZpiUQMiUj0SYgBUft6AwKQnQ3B\nwTBiBGdcXOjfvz9RUVEUFDhRv34hixZNI9niOLuSpKx0nMMQTQsOOjuTkW5G5zA9mnfbQ9TB8cxY\nM5iVdr3RneHJ+8ePsLUdi0IxCkHow7ZtSYwZ04q6devy7eDBFLRowY6qVVnZyIjM3KNU0POk9wt7\nnpddYvcxKT1GWtMotzZG28NYK1vJHaUWWQULaOq1gzaKMHTKc5HJJvGwohLnRlPIKA6iypI8tDuZ\n0XCpF5pGmjx+/pz2e/YQFxyMVkkJ39SsyXB7ewRVKSkpa3j3bikWFu1wdp7N9SJdpsfFoQIWuLjQ\n1MxMfIS8SPRfEgOi9nUHBCAuDmrVgu3b2ZCQwMqVK7l58yaPHunRqVMx69YN457sHmfTtFhsPokB\numac9vQkMVmfzmF6tOp5kMj9o5m+rD0bKoxDc74bydGJODuPJDW1BoKwmL17i1mzpiulpaUc3rQJ\noU8fHuTmMqhXc1JLVqMr06ZjXE18LR8yZ2MOllUrMDtMieHCibwVnrAgbSe5ig3oa8Ywppo1VZ64\no7I+QaTJd3h5dqJs4FjylpXi80DA41t3vDrZIQgCOyMiGP7DDxQHBGAnk7G/Zk1qm5igUGSRlLSI\n1NRt2NuPxNFxPBHZJcyMj8dUJmOBq6v4CHmR6L8gBkTt6w8IQFQUhIVBZCSTtm3j1q1bXLx4kUOH\nypk4MZ8tW3pxNP8dL4vMGKfZnxHGFlz29SUmVpMu7fVo0+co1/aOYNrCeuypsgDFcleSL2Ti7DSE\nxERzYC8bN8q4c2cCZ86c4dTx4zisW8eHQ4doN3IIiVpbKVNk0UTVgA5ZuXx74y4vMy2ZP6MM64PD\n0b3rwZziBSRpViE7fxBhFbfSqLwHuooc9DUmccO7FM+ak8h1b4DD5Ez0K+gRuskXA7keJSUljFm/\nns16emBuTkO5nB1+fthpa1NcnEB8/HRycq4il4djZdOH7z9mMCchAXddXea7uBAoPvlXJPrdxICo\n/T0CArBtGyxejOrWLboOG4aGhgb79u1jyZJ8tmxJZcPGrqx/X0qZzJXOxa2ZamZJZGAg95+r6NpB\nj7D+EVzZPYwpcypxIngdmWucSD1Riq1NbzIyJCgUR5kxwxBDw83MmjWT77//npCkJPJGj6b30CE8\ndbxPRt49qhhXoc0dM97IzrHzsAbthslpLfVCd9lgzpZe5LD2AXLKdmCmfYphQRWp8sgdmflRrpms\nw8OjPZKhE3l3SEW1fSWYTbSnxmQ3JDIJ8QkJhG3cyOOgIKTl5UwKCGCWiwvaEgl5efeIjZ1AeXkW\nrq7fYGjSiO1pacxLSCDQyIgFLi54i8/ZEol+MzEgan+fgACMHQvPnlFy7BihTZtSu3ZtFi1azPDh\nOdy584wl3/RmYbwWzhY1CHofxDJLS26EhBD1oIiuHfRoP/AUl3cOZdpsOZfq7iZuiz0f98owNu6A\nrq42qalb6dbNlrCwG/To0ZXw8HAGVa5MXqtWLG3cmCO1DXiXtQcLPQtCn/tQ2eIpMzbmY1K1Iov7\nZCDMnE9GvB4rGEaefifyCxvRpfI+6hT1Qr80CzPlRM74FeNXaTKq5m0oH5+CfYmMmtt9sAlUH5I6\neu4cfa9dI79uXYyBLdWqEWZpCUBmZgSxsZPQ0XHGze0bpLq+rHv/niVJSbQ0N2eOXI6Tjs5n/AaJ\nRF+G/zQgX9sdWnPmzJnzucfw5wkNhf37kT1+TOv165kwYQLa2lrMmFGbM2cMuXbVncltDrEv/iMW\nHnYEx8GE9HTmNfAjoGY+86b40LyvB7vXfE8/+UmUHZqSI9Uj+1Zfysp2EhAQzdmz7qSkBLBzZwfG\njh1JbEkJLXfsIHDVKpxfZHPHvxsfi64RY5aEjk49+twZwMP3T9hxo4gaM09iJbOm5YsJFCjOkWV0\nkLtJi3ms2IZDJVtsY3vjnafibspiLN8kYzCpLm8ttVEMTSLhXT7yeub4eHsyrk4d8s+eJSojg8NF\nRRzPzqaemRnOJn7Y2Q1BpSrk1asBlBW/pIlDQ4Y5VuBZYSEDXr0irayMqgYG6Ik3I4pE/9LcuXMB\n5v7e94l7IF+6nByoXh0mTuRtSAh16tRh69at1K/fnJCQbNzdd9NtwCzGPjVmWLXRfLgNl+3tudy2\nLeeupf10OOvqntHMmKnD09AIrh6wJWuNFRKN5rRr58X+/Y1wc2vMkSMKhg3rhLa2Nvt37ICRI4m/\ndYsuw/qTKdtOYWk6zeyb4bRSzofYHPYLh2gzyIVOtuZI507kWcE71komUaoVTmmJBf1qnMc/uzvG\nBRkYMJHzAYVUk0/BuH9X3kyKxyNGwGdjBTyaWwOQkJBAl9WruVe9OhItLXp6ebHS3R1jmYzy8lyS\nkhbz/v0m7O2H4+g4kQylFvMTE9n/8SOjHBwY5+CAgfh4FJHofxEPYan9/QIC8OoV1KkDR45wSyaj\ndevWXLhwASenKlSvnkvr1kuo1Xwdox/rsLT+EiKvZvDSwYGz7dsTcek93TrqEdYvgqt7xzBrlpRX\nDY9z+oQDOd84gNCaIUMCWL3aGmPj/ly5osOKFcN48OABp06exPrgQbLnzqXj6FFk2N/jXdYtvC29\nsb1oT40TwczWWoppFTeWD0+kdO5ipM/tWcc43lvakZy+jMpm02haPYwaN2zRN9zPCZutVHYKw6TP\nBFKyjbCZ+hGtuoY0XeeHtoUWABHnztHn9GlymzVDB/jW35/+trZoaGhQUpJIfPwMsrMvIZfPxcam\nHwmlCmbFx3M5J4dpTk4MsrNDW7yrXST6iRgQtb9nQAAuXIDeveHWLY48eMDo0aO5efMmSqUTNWrk\nM2HCGGwrn2L8YxU7mm5i16UEChwcONq+PUcvJNOtgz7tBx7myu7JzJ4NCQ32c/C8C/nzXJBodGH8\n+KqsWFFIWdlUzp3TIzJyKRs2bODkyZNUSksjr1MnJnfpwg/VdXmWuhlDLUPqldej9rJ6rGY38bpp\nLJpViM3VXhjsa8EVzrBfezt5yu1Iyl8yrN4z3D50xzzvI9qSiVwILCHYdCoOk3pwIzyWShcVOCx1\nwb+PIxoaGpSWljJr9WpWFhejrFYNNyMjDlaujP8/PjY3P/8BsbETKCv7iJvbN5iZNeNJYSHT4uKI\nKSoiXC6nm3hXu0gEiAH50d83IACrVsH27RAdzYpNm9i+fTvR0dHExBjSvHkBq1b1oMTqCTOeFnC6\nxQHmXnqGkaMje9q25fuTKfTqpkunwQe4uHM64eFSkutuZOd1L4pmeiCVDGD8+Irs3p1FbOwMdu7U\nRkPjBCNHjmT37t00cXMjp3Fj9nt4sLF9Pd5mLgYEFtdcTO64Ap7Hx7G//ABt+8kJc7VCMWsqBXlF\nrGQwCst2vE/vQ1PbCfgEDqb2FUuM9Hdx0HEXQdZdsOg0kjRTa6Rj32HoqEvoNj+MXPQASExMpOfS\npdwKCkIwM6OjmxvrPTww0dREEAQyM08RGzsRbW0H3NyWYWjoT2RODlPj4shXKlno4kILc3PxZkTR\n39p/GpC/mo7Ac0AJBPzq76YCb4CXQON/8X7hb02lEoR+/QShbVtBVV4uDB48WGjRooVQXl4uHDxY\nLlhbpwsnTtQSlp6uLDiscBBeP40S6qxfL4w8eVJQqVTC1kNJgkQ/Xeg1Za1gYWEmbNhgI8x+slOw\n2fxEMDVXCNbWw4VZs2YJLVvOEWSyNGHBggwhKipKsLa2FjZu3CgIublCbsOGwhVvb8Fj9TLBcaW7\nYLzIWBh0YpCwcNBiYZnuKkHHxFZwqFtD2H3QSdhSeb9wlOtCJ9oKTqbegqbkkWDDCGF2wwHCJvdL\nwkG7ncIRR0theJiFcKj9KuHRq49C+Mjbwknjq0LUojeCqlz106afOntWMO/XT5CcPCnonDkjrH73\nTlCq1H+vVJYJycnrhKgoayEmprdQXPxOUKlUQkR6uuBz545Q68ED4UZ29uf6rolEnx3wH/3m/Ve7\nNEUF7AcqAReA1H983RuYDfgDEcAB4Dv+90b/va7C+jUNDfXzstavRyMxkSZLlrBz506ePHnCuHHN\nKCvTZNmyugxo/T16+lYseH6MQ9X7syghmdz0dEa1qoKFUzqLZ1Wh2whr1i+7TJjXTXyC7Lnrp0P5\nhV48f3ae2rWLqFs3hwUL7AETtmzpxYgRI0jJyKDZ1q3Yv3lDmw2bOVpzFI5WEq4nnCXV9T0N2obQ\n7Fwo0TkP2H21jAZTjiM1MMLvWV8cil15qtEdlWEHLr2shZXRTHIq10f+qjtB7zM5prEC3etpeNTw\np2iinNhvkkhen4J5kBH6djp4urszumlTVKdOER0Twxl9fXampVHbxAR7HT2MjAKxsxtEYeETXr0a\ngFKZTzXregx1cEFLImHkmzdcys7GV18fay2tz/2dFIn+VP/pVVh/VVf55R7IVGDyP70+B9T4P973\nuUP+15CWJgiOjoJw9KiQlZUleHp6Cps2bRJUKkHo3btYqFPnonDtmq3Q+0BtIXRXqBAfeVWQHzgg\nbLtxQxAEQVi6OVaQGKQJQ2evFSwtLYQdO7yEpQ8XCua7HgrmVgrB3X2O0KdPH2HnzvOCTPZEqF//\nhZCWliHUrl1b6Nixo1BUVCQoN2wQsoyMhIZz5git908WDBcaChZLLIQTt04I63w2CW3N+wkSQ1Oh\nx2R/Yde3TYVNZlHCdq4I1akouNu2EKQarwU/aSthXtNRwk7Hy8Jhuw3CfidjYVR3Q2HF7WFCbEG+\nsGDeA+GEyVXhwuhnQnlR+U+bn5CQINQfNEiQbdokSE+eFMKePhUyy8p++vvi4iQhJqaXEB1tIyQn\nrxeUSoVQolQK3757J1hHRQk9Yv6HvfOOiuro//DYEkuilN2lgyhg77H3Hk3siRpbEmNMLNHYolET\nNZYodgW7sYsVO6KotKUoTaqKIqIIIgpIEVh27/P74xIUS+T9vW8kZZ9z9sDevXdm9s4597Mz3xZD\n3NOnb33a9OgpLcT/cwXyV+VFAVkvhBj+3PttQohBr7iutOfhr8OVK6BQQEwMN27cQKVScenSJfLz\noUOHpwwZshEvHwN67mzB58c+59qZM5gcO8bJsDAAFqy7SdmqSXy/eAORkcGEhXVhVcgsjPaEoDDV\nUrfucgYOHIhaHUGlSn44OETw+HEOQ4cOpXXr1jx8+BAuXSLLwIDx333H9LCzVP21KlWXVGWt/1q2\nfLGFX6ospUJVBTV7dWL/kersaHSI48KH8WIcyneNqfzuaSoKJ36u3ZxZvU9x4v1zBBt2Z0xLwboD\npngmh+AR8wDHLt4ct/Yh/tzDYrfgzNmzKEaOpNypU7zr7s6qu3eLtrUAMjNDCAvrzOXLtcnKipCP\nFRQwPz4eI19fJsbG8iA//+3NmR49pYT4G21heQghfhBCjH/hlSiEiC085wtRfAurd+HnkYXv+wrZ\nHnLthbbnCyGEl5eX8PLyEkIIUb169f/1+P8eWFgIoVQKMXGiMJ4yRTRr00Z89tlnYuDAfmL0aFPx\nyy/1RRmRJka0uCD23ckSWjND8VNaVTEkL0+0q1BBjPiwpsirkCxWLa0v2vV/Irp8MFVUTd8sqhvc\nEpeam4q8kwOEVJAhrlxZI06eHC6cne8LJ6d8cfToSPHo0X0xZcoU0fPbb4X52LGi24IFIjkuRShH\nrxd3E93EhXgPUbldZdGxUzvRxa2DcH/kKQ4GVBIfzjkoRMVqwjJmsGhY0FFESF+KahZW4nT8fFEl\ncaoQPSqKsskjRIMnjUQZz3PC+6GTKFNPJ0ZO/VxcrPpUPP0uQdwOSxfVOxuLcpXKCXs7OzGpVy+h\ncXUVAdeuCff33xc7U1JEy2rVhFXFiuLdd82EickoUamSrahSpa4oV66SeLdsWdHJwECMNjUVfpmZ\nYuyNGyJbpxPN3n9fVNS7/ur5h+Dl5SV27txZ9Kz09vYW4h+8hTWr8PU77kKIlq+4rrSF/K/H+PHQ\nty/odGzevBkHBwfS0tK4eRNUqjxWrhzAqUtKqq+2ZkfYDs6uX4/q5EmiU1IAmLTgOmUN73A0IAid\nroBr175g4+URGB0MQmWppVWrPbRq1Yp795KoVcuDSpWuExKSxPbt21GpVHh7e0NaGnlduuDfti1D\n1d502NUdlaOKZpub4XvZl022W+msHExZIxXfLmzMrnUfsUEZgIvwoZ9oRXVFPd4pF4axmMayFh35\nsac7J6q6EV61NV+0EjgfseLqoxiCEtNZ+ImaEyovog4mFrsNN27coMXw4byzbRvl3NzoFxFBaglW\nF3dyc/ni2jWUajUr7t4lV6t94zV69PzdEP/ALaxmz72vK4S4KoR4RwhhK4SIE692OSvtefjrkZ8P\nbdvCggUAfP/993Tp0gWNRoOPDxgbP2X37vYcumSParkSj1vn2b14MVYnTnA3KwuAsbNjKGcch1vI\nVSRJx82b37M5oB9GBy9jaqOlU6fj1K9fn8TE+/To4UW5cndwdY3Ew8MDpVLJvn37QKOhYNw47tWs\nycfHjzPm7CyMlhlhstwEz1hP1vdZz4z3f6Lce4bUH9ST/cdqsKPREY4JNbPFLxiWq4yZ0pkKwoNv\njOsyddhqDhtf4JxyPhtrVGTmTMGeiJ/ILShgw6Hr7LP0xLVPEE8f5BXdCkmS2O/iQrXBgyl/+jTv\nenjgmJCA9rltrdcRlZ1Nv4gIrPz92Z6URIFO9+fMlx49pYD4hwjIACHEPSFErhDigRDi7HOfzRZC\n3BKyG2/P11xf2vPw1yQ5GSws4NQptFotvXv35ptvvkGSJPbsAUvLR5w6VY/fLrZE6agkPDGE5fPm\nUffYMR4X/kof/n005VQ3uBQZhSRJxMcvZJNfT4yOBGJWXUvPnheoUaMGcXFxjBsXQtmyySxbdpHI\nyEisrKxwdHREkiSkdevIUirpv2EDPwfto+qSqlT7tRpbQ7ayd9leNlbeSjWFPZUbt2H3EQX7P/uJ\n7e8E4yTO0UCYUdf2E8qVuUODMoNY3bUfP3c+z4lqJwmr1pDhnQRbTtlxO+MWsY+yWPy5PyeNvLiy\n/Q7ScyKRkZHB11OmUHHGDMqdO4eln1+J3Xj9MzLoEBqqd/vV849C/EME5L+ltOfhr4u/PyiVcOMG\nT548oX79+qxduxaAH3+UaNo0Ck9PK1ad74nVKivuJ8cybd482hw/Tk7hts3Ab6IpbxbFldsxACQm\nOpauiycAACAASURBVLHJtxOGrv5Y1NTSp08AlpaWXLt2jRUrblK2bCqjR7tw9+5d6tevz3fffYdW\nqwV3d/IUCibMmcPCGDVKRyUKRwXjz4xH7aVmq+lvNDP/kLKmVsxcVZ+dqwew3jSUo8KX0aI3lu+b\n835lTyqJbSytUZuxo3dwrNoFvA2m8atDBeYvLsPxmF/R6XTsdYtjVw1PDncJJDOhuGdVcHAwdfv0\nodKOHZQ/d46pN2+W6FZKJVix6NHzd0LoBUQIoReQP2bzZqhTBzIziY+Px9TUFDc3N3Q66Nu3gP79\nj+Lrq2Dm6X4029yMrLtxDF+yhD6nT1Og0yFJMG39BcxWmHPzsfywffBgL5t82mJ0zA8rhwL69QvF\n1NSMiIgIXF0fUr78I9q338CDBw/o1KkTgwYN4unTpxATQ56tLc4jRjAtJoxGmxpjtsKM9r+1JyYh\nhvWtnRijmEzZ96rR/vPu7D5aj9/qneFIGT8WCieUZSpTp+YCyoprfFq+KY79PmdJ6wucqHaEQEN7\nhvUS7DpXl4fZ90jMfMqScYGcNPDEb21cMQHQarU4OTvz3sCBVD57li8iI0tkG9Gj55+E0AuIEEIv\nIG/m669h4ECQJNRqNUqlkuvXr5OZCfXqaZgyZQ7e3u8x5EB3Pjn0CbnXYui5ejVfeXgUPXg3B2+m\n+prq3HtyD4DU1FNs8WmF8QlfrOsUMHBgJCYmJgQFBXH5cg6VKqVSo8ZaEhMTGTp0KO3atePx48eQ\nmkp+u3Z4durE8MsBfHpkBCbLTbBcacnle5fZPHEzqyuvp5KxJUatOnPguDF7+65iQ+UwtpW5RDth\nSwObTpQvF4dlmUnsqF+fz8ce5uR7HoQYt2dGfYHj6rJ43nJCkiQOe95hax0vDrf2Jy02q9htSU5O\n5pPPP+f9H3+k2sWLbExMLJFtRI+efwJCLyBCCL2AvJm8PGjZEpYsAWDLli3UqlWLjIwMbt8GlaqA\n1av7csHLgNZbmzHn4hyy1Gqabt/OQj+/omYc1Y7UdqrNw2w59iI93ZttPi0xOuGDVa0CPvssBqVS\niZ+fH7dv6zAyeoiBwVoiI6OYPn06derU4c6dO5Cfj3bkSOLq1aOnuztzfVdjsNQAg6UG7I/Yz+k9\np9n9/l5q2LSjnI0DK7ZYsm3hV6y1jOaY8GWyGIFJRQNUxseoUOYk86pZMXvEFIxdz7Cid2cuWgiG\nDxIc9GrO07wUUnLyWDI9iFPVPPFacqNYOhSACxcuYNO5M0Z799LAz4/AJ0/e3tzo0VNKCL2ACCH0\nAlIyEhPBzAzc3QEYP358Uc4sT09QKvPZv78Rbt622K6xYffV3SQdO4bNoUPsiYgoambOxTk03dyU\njNwMQA7M+823FcbHvbFwKGDUqFiUSiUXL14kJQWsrR9RqdIW3N3Ps2bNGiwsLAgLCwNJQpo/n3QL\nC7ru3YtztBuGSw1ROCqYcX4GEVcj2FZ9O/1svqJMNSMGT23Llv1t2VnLi31lA5heZjOKMhVoVGsy\nZcsk0LlsZ1xat8TsqCtdFy3itlElvm0icNpcnph7ewA4GZjIxkZeHGmsJiWiuEjk5eWx4JdfeG/A\nAN4/d44vo6N5qN/W0vMPRugFRAihF5CS4+UFJiaQkIBGo6FDhw78+OOPAGzYAPb2abi5WXLEpzVK\nRyXqBDXRW7agOnGCi3fuALIxecKZCbT/rT05mhwAcnKus1PdDuNjXpjbFzBmTBwKhQI3NzcyMqBh\nwwwqVjzE+vWbOHToEEqlEg8PD3lMe/aQa2zMoNWr2Xr7KjXX1sRqlRXdd3cn/mE8a3qs4SfDxZSr\nZkTN3r05cNKcAx220bt2JlYVQ/lAVKGOWWMqvhOJQZlF7DY3Y+jcuahcj7G/ZQOOVhd8NUpwNqAL\nBQUZPM7LZ+nPcjoUj9kx6DTFXXNv3bpF1759MfrpJww8PfXbWnr+sQi9gAgh9ALyn+HoCC1aQF4e\nDx8+xMbGhgMHDgAwbhx07nwNT08DtnsPxHSFKbfTbuP5668oT50iMi0NAJ2kY4TrCHrt7UW+Vv6V\nnpt7lz3+XTByvYRZzQLGjbuDSqXC1dWVnBzo1CmbKlUuMX78NC5duoRKpWLPHnllgLc3+UolU2bN\nYuWdm3Td1ZXqq6tTc21NYh7GsGXWFrZX3oGBeW0qNW7DrkMKdsz4ganNU6haKRfTCpN4/30Tqtvs\nonwZf75/pwY7unXD4MwZhk/+jrtVyzLqA8H2PZVJeugGwLnwZNa28uJoHV8SL6cVu0WSJHH48GFU\nrVqhOniQpoGBhGRmvqUJ0qPn7SD0AiKE0AvIf4YkQf/+crQ6EBYWhkKhIDQ0FI0GOnWSGD36MN7e\n77Ho/AjqOtclIyeNvT/+iPWpU9zPzQWgQFdAP5d+DD48GK1OdvnNz3+IS2BvjI5cxMS2gMmT72Fi\nYsL+/fvRaOCTT/IwMLhKt24DCQwMxNraml9//VU21F+/Tn6NGmz8/HOm3rjOuNPjMVthhvEyY87d\nOofbMTf2GO6jSY3elDW3Zsbyxmzc+TGb6oSgMtZRtaovlStb07TpN5Qre5/6ZT/lVC17WmzcSK1d\nu/Ctaca2moKJ4wV+4UPRap/yRKNh2bIwjht6cnZyJNrc4hHnT548YfL33zPb1xcTtZqJsbGkP5eg\nUY+evzNCLyBCCL2A/OdkZICdHezdC8DBgwexsbEhJSWF1FSwtdUxf/4PeHtXYYzrQD7c+yEFWU9Y\nPHMmjU+eJLOgAIDcgly67OrCmBNjiry1CgoyOBI0AKPDsohMn56Eubk527dvR6eDb7/VolAkULt2\newICAmjQoAETJkyQY0VSU9G0bs3FHj0YHBzMqkBnjJYZYbTMiDUBa7gWe40NtTcyymICZd+vRvvR\nfdl1woGDTQ/Rpm4+JiaPee+9/jg4NKHqewFUKrOVTdWMmT9qFFXd3Jg5pD+3qgmGthK4HDUkI+My\nAF7XH7Kiszeutj7c8Xn0ylv2SKPh6+vXMfPzY++DB/q4ED1/e4ReQIQQegH5/xEeLmfujYoCYPbs\n2XTo0AGNRkNkJCgUWjZv7oantwHddnbgO7fvkJKS+HrePD48exZNYVqPzLxMWm5tybRz04oeqlpt\nNkdChmF46AIqmwJ+/DEFKysrnJyckCSYM0dCpXqMStWM8+fP07lzZwYMGCDHiuTmoh08mNgmTeju\n4YHLjXMYLTXCcpUlY06M4VHWI1b0X8Gyait5x9AE4y59OXTKmL1f/cqElo9RKXVMnuyMsbGCevXW\nUa7sdUaVb8jJFh9gdeQw7VevIFZRmWX2grlzBVE3JqPTFfBUq2Xl2giOGXlyakJEsVTxzxOQkUHj\noCA6h4VxLTv77cyVHj1/AkIvIEIIvYD8/9m5Exwc4MkTdDodH3/8MeMLt7aOHwdz83xcXWvg4WtH\nHafabAraREFEBB+uWsUYL68iwXj89DH1N9RnkfeioqZ1ujyOhH2NwUEPVNYFzJv3CFtbWxwdHQFY\nuRJUqhwMDVuyc+dOhg4dSocOHUhPTwedDunHH3lsY0NnFxdO3I3Ado0tduvsaPdbO1KyUtiyeAu7\nKu/GzKoJ5es1w3mXFRs3jGJ9/RhMlBITJ16ldu3atGjxGeXL3aN62YmcsjFj2Jw5qE6eYEOHDwhW\nCgZ3E5w5b0V29g0ALt96xKrOPhyx9eGWT+orb1tBYR0RhVrN7Li4oqh9PXr+Tgi9gAgh9ALy3zF2\nLHzyCUgSGRkZ1K5dWy5VC8yfDy1aPOTCBQNO+XdFtVyFzx0fMs+do8lvv7E4JKSomaTMJOzW2bH+\n8vqiYzpdAUfCv6eaywVUVgUsXCgXulq8eDEAv/0GSqUGU9Pe/Pzzz0ycOJGGDRuSlJQkN7B9O7kK\nBX3Xr+dwUjwdfuuA/Tp7bFbbEPEggvPnzrNTuYuuNQZQpaolk6Y1Z7NrCw7WPkeLegX06JHFkCGj\nsLOri1JxkXfKnsS5igk7evTAwM2NwT9MI7lKWSbXFaxeU4Y7d2R7TJ5Ox/r1kRwz8sR1fPhrVyP3\n8/IYGh1N9YAATqW+Wmz06PmrIvQCIoTQC8h/R24uNG0Kq1cDcgp0pVKJWq1Gp4M+fWDkyAC8vauw\nU/0FpitMSchI4P62bdgcPsye53JJxafHY7XKij3he4qOSZKOI5GzqepyAaWlhqVLZZFaUJgp2NUV\njI211K49luHDhzN//nxsbW2JjY2VG/DwIF+hYPxPP+F8L4GvTnyF1SorjJYZcfzacW4l3GJN4zVM\nNpvMe+8Z07FbLw6ctuBA72183T4DGxuJuXN3oFAoaNFiJWXLJPJJuY5caFCbFps2UWv/HtxrWXLa\nSjBysMDXrz55efcBCLudxtouPhyu4U2sd/HCVc9z/vFj7AMD6RcRwZ1CJwM9ev7qCL2ACCH0AvLf\nI4ejg1oNwJkzZ7CwsCA5OZmMDLC3l1i4cBXe3hVZ4DGWJpuakKPJIWr+fFSnTuFZWEcEIPphNCbL\nTXCLdSs6JkkSR6IXU3XfBZQWGlasyKBu3brMmzcPSZK4cAEUConWrRfRvn17Vq5ciZmZGSG/r3Ci\notBYW7N2zBimxcay3G8lCkcFSkclS3yWkJWbxfIhy1n7/losTGywsuvOoWOGbJw/l7XN41EqJGbO\njKJOnTq0bz+UCuUTMC//M+4mhsz7/HOqup9l2vAhJFURDG8i2LmzPElJ2wHQ6HRsdIp642okT6dj\nYXw8xr6+LE1IIF+f+l3PXxyhFxAhhF5A/jecPi2nf3/wAID58+fTrl07NBoNUVHyA37nzoF4eVXh\ns0P9GXpkKJJWy4XvvkPl5saN5wzK/nf9UToqCbgXUHRMkiSOXl9L1T0XMDbT4OycQb169Zg7dy6S\nJBEYCCYmEn377sbe3h4nJ6eiiHYAkpMpaNaMM3378mloKIevncJoqRE11tRg2NFh5OTnsG3ZNvZX\n3k/r2m0xUDVkrbMNK/Z+ysEagTSpo6Vfv2yGDfsCO7s6mJufp0LZC2yoaMbZ5s2wdD1KB6dVRKne\nY4O9YMIEQUhIRzQaOUYkvISrkbinT+kdHk6dy5fxTEt77Xl69JQ2Qi8gQgi9gPzvmDsXunQBrRad\nTsdHH33EpEmTADh8GKytCzh5siaevtZ8sLkpS32XQk4OW8aPx/7MGR4/FyNxJvYMJstNiHkYU6yL\no7FbeX/HRQxVGrZvz6BBgwbMmjULSZIID5ezrYwadQkTExPWrVuHUqnk8OHD8sXZ2Wh79yayXTuC\nEhOJeBCB9Wpr6jrXpcWWFiRlJnHe/Tx7jPcwtP5Q3qtqwphvW7PRtQlHmhzn887Z2NnBggXyllab\nNsspU+Y+/Sp0x7+mFYPnzcPkzCnWdmrLNSNB/3ZlcHWtTGrqKQDytVo2rn/zakSSJFwfPsTK358R\nMTH6Gut6/pIIvYAIIfQC8r9Dq4VOnWTrOZCWlkbNmjXl6oLAzJnQocMTLlyozLmAjpivNOf0jdOQ\nlMS0H36go7t7sa2b3Vd3Y73amrsZd4t1c/TWPt7b4omBQsP+/Rk0btyYGTNmIEkS16+DlRVMmBCN\nUqlk8eLFmJubs3HjRvniggI5u3CTJpCUREp2Cq22tqKecz0sVloQdD+IG7dv4FTXiZnVZ1KtmoLW\nHXpz6JQpv325mRWdElEoJObPj6Ju3bp06DCEdyrcwbTCYi4ZVWFX9+4YuLszZM4skquUZXbdMsxb\nIIiKGoJWK6duCbudxprC1cjN13hqAWQVFDDj1i0UajXO+pQoev5iCL2ACCH0AvK/JSkJTE2hcOso\nPDwchUJBeHg4Wi107w7jxkXj5fUOhwO/ROmo5FrqNbTh4fR1dORLH59iQXYr/VdSx6kOj3KKB+gd\nue3Ke87eVDPW4Or6hKZNmzJlyhQkSeL2bahRA6ZOTcbGxobJkydTo0YNFixYILctSbBoEdjYQEwM\nuQW5jHAdQaednVA4KjgUdYiMnAyW9VuGk4ETtlZ2WDl04+BRY5avm8WhOuHUtdcxfHg2I0d+iZ1d\nbays3Clf1hundywIqO1As99+o/bhfZysUx1vc8EnvQTnzhmTkREIFF+NHJvw+tUIQGRWFu1DQ/kg\nOJggfaZfPX8RxFsQkEpCiNFCiNVCiPVCiO1CiK1CiFVCiCFCiLJ/9gBKQGnPwz+P8+fB3LzIHrJv\n3z5q1qxJeno6jx6BrS2sWbMLL68KrPGejMN6B9Jz08k6cYLGO3aw9LnsvQA/nP+BVttakZ1fPPDu\nSLwb7632pZpRPm5uT/jggw+YNGkSkiSRmAi1a8OUKZk0a/YBn3zyCY0aNXoWtQ5yHItKBYWilfY0\njdCkUKxWWbHYZzFanZb1P6/HpbIL7Rq0R2nZmNXrHFh6sD+nbC4xsEMujRuDo+NOFAoF7dsvo0yZ\nZHq9+zEhVgp+HDMGg/PnmDZ8OCmVBaPrl8HJqSw3b05HkuQxlHQ1IkkSO5OTMVGrGX/jhj4lip5S\nR/zJAtJNCDFJCFHzFZ+VEUI0EkJMLfxbmpT2PPwzmTsXunWTt7WAyZMn89FHH6HT6QgLk43qBw6M\nwsurEuNOjqLX3l5odVrurVqFxbFjHL37bNtKkiS+OP4Fvfb2QqMt/uA8dMeTKo5+VDPO4+LFTFq0\naMGECROQJImUFGjYECZN0tC//wDatm1Lu3btGDx4MHl5eXID58/LZXsPHSpq837mfZptbsaoY6PI\nK8jj6JGj7Dfcz2eNP8PAyIIx33Zm87EGHOl0lJ+7p6JSSTg7R1OvXj06dRrCu+/Eo3p3Bd7vV+Zc\ns2aYnj5FJ+dVRKgqs99W8OVwgVptT07ObUBejWz4fTUy8Y9XI481Gr69cQNTPz/2JCfrU6LoKTXE\nnyggFYUQdiU8t96fNYgSUtrz8M+koAA6dIBffgFAo9HQvn175hfaR/buhZo1dZw9WwtvX3M67ejA\nTI+ZIEkET5mCws2NoIyMZ83pCvh4/8eMdB2JTiru4nrwrh/vLQrAUJGLWp1Jq1at+Pbbb9HpdDx+\nLCcP/uYbHVOnTsfOzo7u3bvTtWtXMn/PkBsWJnuQrVpV1GZ2fjYDDw6k/W/tSc1JJTQqFGd7Z6bX\nnI5BNWNad/6EI6dVbJ61kR3NbmBpLjFzZg5ffjkaO7taVK/uRvmyAax5x5pQu+r0WLUSazd31rZt\nTXxVwSdNyrJ37zskJm4sEoGwuDTWdPbhcA2fP1yNAAQ+eULjoCC6hoVxIyfnv54uPXr+U4TeBiKE\n0AvIn8f9+7I9xNMTkEvAWlhYcObMGQAmT4YPP8zG07MSlwLbYbvGFpdIF8jN5djo0Vi4u3P3ucC6\nHE0Obbe3Zdq5aS91tTshiPd+uoyxKoegoCzatm3LmDFj0Ol0PHkia9nIkeDktAmVSkWfPn1o1qwZ\nDx8WutQmJEDduvKgCldNOknHTI+Z1Fxbk2up10jJSGFJjyWsMV6DtXl1qtftyyFXJYt3TOWk5WXa\nNyuge3dwdt6NQqGgc+dlVHw3ne2mI4i2MGTNwIFU8/Cg7/c/c79KGTY1eZfz7mUJDX3m7vufrEYK\ndDpW3r2Lsa8vC+LjydPHjuh5i4hSFJCvC/+2Kq0BPEdpz8M/G3d3+dd9YbCgn58fKpWKW7duodFA\nmzYwe/Y1vLzKczr4WxSOCiJTIuHBAxy/+YZG58+TVZi9FyDtaRr1nOvhqHZ8qastCWG8P/MKKrMs\nwsOzad++PV999RU6nY6cHOjZEwYNgpMn3VEoFPTv3x97e3vi4+MLG0+Djh3lk54+LWr3t9DfUC1X\ncSHuAhqthmVTl7G/yn5a12+NafWWrFxbn6VHenOqpgfjP8zC2hoOHIihfv36dO8+DEuLJ4ypc4yE\nqlXwbtCAGkeOUNfFlTMOloSblufI5nfx8XmfR4/ci/oMfW41csv/1Rl+fychN5d+ERHUCgzkkj52\nRM9bQpSigAwRsh2kWWkN4DlKex7++cyeDT16QOEvZCcnJxo2bEhOTg6JifIiZc+e7Vy5Up+doVux\nX2dPem46UmgoX82dy8c+PsVcWBOfJGKz2oYdYTte6mrdnQiqTgnBzDKdmJgs2rVrx9ixY9HpdOTl\nyaVMeveGK1cisba2pnfv3lhZWRETUxhvkpcHQ4dC27bw6NmD2zPeE9VyFVuCtwCwa9cuDlQ7wOCm\ngzFW2fDVN72ZvH0Ue7r4s76H7Oq7dm0Oo0d/hZ1dLTp2jKRJjYdcrWxPsJ0NQ+fPQ+XlzZRPRpJa\nqQz7v1TgeaksMTGj0Olk+0y+Vovz2kiOGXpybGoE2vw/Trp4PDUVK39/RsXE6Mvp6vnTEaUoINZC\n9soaXVoDeI7Snod/PgUF0L49FCZBlCSJkSNHMnz48KJUJGZmEl5eE4mO/ozxZ8bTZ38fdJKO/KNH\n6ezszJSwsGJNXku9hslyE05eP/lSd8tuR2EwPgyr6qnExmbSunVrxo0bhyRJaDQwbBh07gw3bybT\nrFkz2rVrh6mpKcHBwXIDOh3MmAG1aslpWgqJfRSL/Tp7prpPRavT4hPkw6bqm/i+9vcYGCioaPob\nZT6+z7wpQRxtGEldBx2ffw6bN8teWsOG7UZppGWzxdf42lXhZ/URFL6+NF29jRjjipyrV4VTruXx\n8zMjK+uZJ1rIjUc4t/HBpY4PcaF/vMLIKihg6s2bqNRqtiUlodMb2fX8SYi3KCDThBAXhRDRQogl\nQogKb6vjElDa8/Dv4N49uZ66tzcAOTk5NGrUqCjAb+FCaNtWS0BAC27eXkKb7W1Y6L0QgLRff8X+\n0CG2F9ZV/53LiZdROCqKpTz5nXlx0RiODqemw33u3MmgZcuWTJw4EUmS0GphzBho3RoSE7Pp168f\n9erVQ6FQ4F04PgDWrZPdkX8XFuTU8512dqKvS1+y8rO48/AOizss5pvB32BpZY2h7XREncf0XhOK\nu7k/g7rm06gRnDkTgYODA/37j2XY0BwSvv6MRINyLFjzBW1CglGe9WD7B824U60M+xcZ4+VVntu3\nFxQZ2PO0Wjb9Gs4JA09cf45CV/DH9o6wzExaBAfTLjSUKH3dET1/AuItCsjHhX/LCCG6CiF+eVsd\nl4DSnod/D2fPgqUlFBquY2NjUSqVBAUFodNBr17w/fdP8PMzIyphH+YrzTl78yxIEte+/Ralmxvq\n9PRiTZ6+cRrTFabEPootdlySJKbHRmP0aQwNGt8iMfExzZs3Z/LkyUiShCTJ9vLGjSE5WcvUqVOx\ntLTE0NCQ06dPP2vI1RVOnCjWdr42n9HHR9N4U2PuPblHjiaHoYeHstR9KR06dMDcrifCKAXLFREc\nt/fll4FpKJUSBw484dNPP6VJkybExcWRedSFtGrvsq6/BZOigqji5c3gCXNIqVyGAz2VnD9flitX\nGpKbm1TUd3BEKluaerOnsS+3o4vfixfRShLOiYko1Gp+1Ncd0fM/RrxFARkjhOgthHiv8H2ft9Vx\nCSjtefh3MWuWbM0utIccOXIEW1tb0tLSePRIDg7fsycGtVrF+Rv7US1XEZcWB0+f4jZiBGbnzpHw\nQsrzrSFbqbG2BinZKcWOS5LE+JhoDHvdpGWbCJKSUmnWrBlTp04tEpHZs+XdKgBnZ2eMjIwwNDTE\nxcXlD7+GJEksUy8rSn8iSRI6SYdGo2HChAmYmNtTpmo473x3k839A9jX/TaWFhI//iixevValEol\nx48fR7p7l/uNanDJvgKLPHdi7OuLxT5X1BZGXLGswJEd1fD2rkhy8t6ivvMKtGyZe5UT1Tw5tvQa\nujd4XyXl5TEkKooaAQGcffTHBnk9ekqKeIsCskAIMV0IcVgIcUkI4SOEGCGEmPm2BvAHlPY8/Lso\nKJBdrxyfeVFNnjyZvn37IkkSly/LcX1q9X4uX67DKv9lNN7UmBxNDiQlseLrr2nk4UH2C7+mf770\nM823NH8pWl0nSXweEYVhx3i6dg/gwYNkmjRpUpQ7C4q8dgFwc3PD0NAQIyMjNm3a9Mav4xrjisJR\nwdGYo8WOb9u2DSMjJe+au1KmRzKT5wfhVieEDi21dOsGbm4BWFtbM2PGDDRPn5I8+SseVCvH/CX9\naR8STIWLl1jS4UNSKpdh13hrLl0qS3j4R2i1z77f5eCH7Kjnza7Wau7fynzjWN0fP6ZGQACDo6JI\n+j2QUo+e/yfiLQpIUyFE2+fe1xRCjBRCeP8P2v5UyLYVXWE/v1NdCJErhAgrfG14zfWlPQ//Pu7c\nkVXiyhUA8vPzadWqVVG5WicnaNQIrl6dSHh4X4Yd+YyRriPlVUNwMF/8/DOD1OpiBmJJkvjy+Jf0\n3tebAl1Bse60ksSnoZEYNLtPvwHnePAgkUaNGvHjjz++MpL76tWrmJmZYWhoyJIlS974dUKSQrBc\nZcmvvr8Wa8/Pzw9TUzNUdRYh7J4wbFUkXko1kz55irU1nD+fSs+ePWnXrh33798n5/Rx0gwr4dxL\nyXcRgZTz9KTX3BXEV63AiSZVOXWyIr6+hqSn+xX18TSvgM1TQzlu4Mnp9bFvjEx/qtUyOy4OhVqN\nkz5Bo57/AvEnCkgtIYR9Cc4z+x/0VVsI4SCE8BQvC0hkCa4v7Xn4d3LoENjZQWE0eEJCAiYmJvj4\n+CBJsift6NFaQkLaEB37Ew02NMDpshMAefv303rrVuZHRxdrUqPV8OHeDxlzYsxLD1KNTsdHgZFU\nq5vCyFGHSE6+Q4MGDYrqibzI/fv3qVevHgYGBkyfPv2ND+bEJ4k02dSEL49/Sb72mQttQkICjRs3\nxq7xMMoYPmHu8jv4mfuxYUgKCoXEtm06fvnlF0xNTbl48SLS/fvcb14bdY3yLDy/hUre3ticdOe4\nrS2xRmXZv9IKT8/yxMZ+X5RPC8DXJ4k9Nb3Y2dWflHtvNppHZ2fTPjSUFsHBhGW+efWiR8+LiD9R\nQMoLORfWBCHEOCHEB39WR8+hF5C/G19/LYeHF3L27FksLS1JSUkhK0tOhrh5cxp+fuYExW1HqQqV\nwgAAIABJREFUtVyF313513fynDlYHT/OkeTkYk1m5WfRdHNTfvH65aXu8nQ6unhH8n6Nx4yfsIWk\npDjq1avHvHnzXjm8rKwsunXrRtWqVRk9evSzJIyvISs/i74ufemyqwvpuc8M3NnZ2QwaNAj7Oi2p\nffQc33hHEtwmhGOdbmBfU2L8eHBz88DU1JRFixah02hI/mE8KVXLsXh+H6z8/Kjk5cWKT78htVIZ\nXAbY4HGhHIGBtcjNvVfUT2aOho3fBHHMyJPzO26/aojF0EkS25OSUKnVTL15s1jAph49b0K8xS2s\nFkIWkglCFpbyf0IfrxKQbCFvX3kJIdq95rrSnod/L9nZskrs3l10aO7cuXTt2hWtVkt0NCgU4OMT\nglqt4mjkNixWWsjGcq2WkJEjUbi7v/QLOjkrGds1tvwW+ttLXeZotXQ6H4Wp5SNmzVrGvXvXqVOn\nDr/88rLgABQUFDB69GiqVKlC37590bwhC65Wp2WS2yTqOtflTvozt2OdTse8efOwtLKi++HDtA4I\nImzcNS7UCKJXpwLatoWQkETatm1Lr169ePToETnn3XhsVImtPZS0CfChnKcnPx+7SLjqfdQ1KnPC\nxRgvr3dJStpVbAwe7ndxsfJiR58A0h++ucb6w/x8Po+Jwdrfn+Opf5yDS4+e3xGlFEhYWwjxjRDi\nOyHEQCFElRJc4yHk1cSLr+e9uV4UkHeEEIaF/zcVQtwVQrz/iraZN29e0cuzMG+TnrfE1auySty8\nCYBWq6VLly789NNPAOzbJ+90RUdvICioMbM8ZtBtdze0Oi2kpXFw6FCsPTxeqtp3PfU6JstNZDfg\nF5AkiVu3JExM0lm0aBYJCZHUrl2bxYWBjq86f9GiRVSsWJF27dqRU4LkhWsC1mC+0pyg+0HFjh86\ndAiFQsFQZ2cs/PxQb7qNj7GaGZ9kYWEBPj4apk2bhrW1NYGBgUgpKdxtU49Am/IMPbmTCl5e9AoK\n5VS7ziRXKcPBmbXx9CxHRMTHRQWrANKe5LFhxGWOqjzxOpzwxvECeKalUSswkH4REcVykOnRA+Dp\n6VnsWSn+AskUzYWc1uR/wYsCUtLPS3te9KxbB82bQ6EIPHjwAAsLC9zd5dxQ334LgwdLREUNIyJq\nJB13dGSe5zz52qgofpowgTbe3i8lE/S764fSUUnw/WBeRUSEhLFxFitXfkt8fBgODg4sW7bstcPc\nu3cv7777Lg0aNOBJCQo7Hb92HIWjghPXi8eRhISEYGVlxdAZM1D4+LD/fDwB1QPYMiAJpVJi40Y4\ncuQoCoWC9evXI2m13J87mdT3yzFtwedU9PLC0t+fvUs2kvheOU62NePc2Xfx9TXmyZPi3/W0azyH\nTD3ZOeQKWelv9rzK0+n4JT4eY19fVt69S4E+QaOe1yD+YZHonqJ4bi2FEKJc4f81hBCJQgiDV1xX\n2vOgR5Lg44/hhx+KDnl7e2NiYsLdu3fJzZXremzYkMeVKw0Iif0V85XmnLt1DgCdqysDli9ndGjo\nS8Zu1xhXzFeaczvt1TaBwEAwMspm48bPuHXrCnZ2dvj7+792qN7e3lSqVAkbG5tnmXz/gCuJVzBb\nYcbawLXFjicnJ9OqVSu69+uH7aVLzLxynbCuYZxoE0OdWhKjR0NU1E0aN27MkCFDyMzMJNvTg1RF\nZTb1dqBroC8KtRpH/1DU1U2JVlXg+KYaeHqWIy5udrH78OBhDhsGBHDY3IsAt8Q3jhkgNieHYdHR\nPNHbRfS8BvEPiUQfIIS4J2SX3QdCiLOFxwcJIaKEbAMJEUJ89JrrS3se9ACkpspZe8+dKzq0dOlS\nWrdujUaj4fp1eacrMDABtVrJqUgnTFeYkvhEfiBmLVhAQxcXVv+eWfc5nC474bDe4aWyuL9z4QIY\nG+ewc+dHpKSEv3Go165dw8DAAFtb2xIVdIpPj6eOUx0mn50sb70Vkpuby6hRo2jQqBHtzp6lZ3AY\nUVNucKH6Zfp1K6B5c4iNfcqYMWOoVasWUVFRSA8fktCmHgHVy+PksZnGQUF8EhHJ8UFyUsajI+vi\neaksly/XJy/vQbFxuO6+xVFjT3aNDuZptr6ioZ7/DqGPRBdC6AXkr8PFi3LuqcLU7zqdjj59+jB1\n6lQA9uyR8xvGx7vh72/JgkuzaLu9rVylUKfjzogRmLq54ZP+coqPmR4zabO9DU81T1/6DOSMJSpV\nNvv3dyQn5/obh5qSkkLTpk0ZMWIE+SXIfJuem07nnZ3p59KvWLCjJEksX74cMzMzBh88iF1gICHb\nE/A1VjN3eBampuDlBTt27EChUHDgwAHQ6bg/ayIpVcvh+MvHfHMthhoBARzce4IYZUV297Xm1CUl\nXl4VSUk5VGwc9+5nsbGHHweqexHq8+DFYerRU2KEPhJdCKEXkL8WP/4IH35YlOrk8ePH2NjYcPKk\nnHX3yy9h1Ci4ffsngkPa8+HeD5l+brp87ZMnRHXpQu6WLS81q5N0DD0ylE8PffpSRcPf2bEDLC0z\nOXasGVlZkW8cak5ODv3796dTp06klaAOR742n1HHRtF8S3MeZBV/eJ85cwalUslXa9agVKs5c+Eu\n/tb+7PwsCZVKYu1aCAkJxdbWlu+//x6NRkO2+ykeG1ZiY28Va2+GolSrWX7rJvMPjsdipQW/XeqE\np2c5IiM/KUoRD7JoHXC+znEDT3ZPu0qBRm/n0POfI/4hkej/LaU9D3qeR6OBli2LlZf9vQjV3bt3\nyc6GOnVgxw4d4eEfciXqW6xXW3P82nH55Bs3fs+F8lLTuQW5tN3eVi6d+xqWLYNatdJxc3MgMzPk\njcPVarVMnjyZOnXqPCtM9QdIksQCrwVUX1Od6IfFAyGjo6OpWbMmn02ciJmPD47BcYR2CMWt8zUa\n1pcYMQLu3XtMr169aNeuHUlJSUhJSSQ2s8fbrgIbPLfxQXAw/SIiOHzjHGYrzJhyahAXPd9FrVYV\nSxEPcDM2ne0tfNnVwIfoiMdvHLsePc8j/kQBeVfIRuw3YSrk2iClSWnPg54XuX1bFoHQ0KJDS5cu\npW3bthQUFBAZKdtDwsPTCQiw5Uz4LygdlXLSRZCz/pqbyynkXyA1JxX7dfZFhaFeRJJgyhRo0SKV\nixetyMh4OVX8q1izZg3m5ubPaoq8gV1Xd6FaruLS7UvFjj969IguXbrQuWdPmnh5MexqFNHjr+Nl\nf4XBHxfQuDHExemYP38+5ubm+Pr6glZL8vdjSK5WjmW/9mfijWvY+PtzJjmeHnt60Gprc4571cHT\nsxzx8QuL2W20Wh37FkRyvJone3+NQqv3utJTQsSfvAL5WAgxTAhR6TWfGwohxgoh2v+ZgygBpT0P\nel7Fvn1ykGFhzIVOp6Nnz57MmTMHgK1boX59SEkJQ61WsMx7Jk03NyW3oDB+YelSaNFCrjD4ArGP\nYjFZblLkxfUiOp1cdOrDDx/g5WVCerpXiYbs6uqKQqHg1KlTJTr/9yqHu64WDwT8PaNvrdq16evm\nRtOgIKI2JuCrULNwTBYmJnD+vJz4UaVSsWbNGiRJIvvkUdKrvcvafqZsuHUVlVrNsoQ7LPV1ROmo\nxMnzUzw9yxEU1JT8/OIrjqiQR+yt7c2Wdr7cin+zi7IePeItbGGZCSFmCyHWCCE2CSG2CyG2FL6f\nLoSo9mcPoASU9jzoeR2ffQYTJhS9TUlJwcLCgvPnzyNJ8sdjx0Jy8i4CAuwY4NKXcafHySdLklzb\nfOzYVzbtm+CL0lFJxIOIV36eny9X4R0xIhFfXwWPH79abF4kICAAU1NTNmzYUKLzYx7GYLvGlvme\n81/y6Nq4cSMqlYqx+/Zh5ueHz/n7+Fn44TI6GVNTiWXLIC7uNk2aNGHIkCFkZWUhJSSQ1LAG52tX\nYJPPDlqFhNA7PJzzCZepubYmXx4dxAVvBd7elUhNLV7NUZOnZe93YRwz8sRl240SeZjp+fci/gKB\nhH8FSnse9LyO9HSwtoYzZ4oOXbx4ETMzM5KTk3nyRI5Sd3GBGzfG4xfSC7t1duyL2CefnJkpr2K2\nb39l8/sj9mO92pr7mfdf+XlWlhzfOG2a7Dr84gP3ddy6dQsHBwdmzJjxxlodAA+yHtB8S3NGHRtV\nLBEjwKVLl1CpVHy3YgVKtZrfQhIIaRWCR6/rNGsq8emn8PDhU7788kvq1q3L9evXQaPhwTcjSDQs\nz0UXR364dQtLf3/OPrzPsKPDqOtUB1d1Nzw9yxIdPQLdC9mLQy4kc8jKi/V9/bn/8M1R93r+nYhS\nFJDapdXxKyjtedDzR3h6gplZURVDgJ9//rkoX1ZIiGwPuXEjn+DgFriFfo/CUcH11EJX3GvXZHtK\nUNArm1/kvYimm5uSlZ/1ys8fPgQHB3B0vINarSIl5XCJhv3o0SPatm3L4MGDyS1BWpAcTQ4DDgyg\ny64uL6Wjj42NxcHBgc8nTMDBz4/vIq8TPfoavnWDGPlJAQ0aQFycxJYtW1Aqlbi6ugKQfWgfklIJ\nq1dzJjUVE7WaRfHx7AjdicJRwbKLX+Hp+Q5+fuZkZxev6Pj0iYY9nwVxyNSTk8fjS/Sd9fy7EG85\nkHCLEGJH4Sv8bXVcAkp7HvS8iR9+gL595W0pZM+njh07smjRIgDWr4emTSEjQ37Ir/KZRsONDZ/Z\nQ44elUsdviJRoCRJjD4+mj77+xQL8nue+Hg5xnHHjnjUahMePNhfomHn5uYyePBg2rZty6MSVALU\n6rSvtcukpaXRpUsXevbuTXc/PzqHhnJjXQK+SjW/js/GxEQOo7ly5QrW1tbMnDmTgoICiIuDZs1g\nwADupaSw8u5dQM4V1nhTYwa6fMwFtQPe3hXJzn45/sX3YAKuCk/Wj75Metab4130/HsQb1FAZgm5\nPkj1wtect9VxCSjtedDzJvLz5eLlz8V3JCYmFqsfMmCAXOP80SM31GpzBh3ow4Qzz+wnzJwJ3boV\nLz9YiEaroeuurnzn9t1rhxAeLi9kTp68jZ+fGcnJu1577vPodDpmzJiBvb09t27dKvl3fgUajYax\nY8dSv359vvH2pkZAAGHuyfiZ+rH/mweYmMjxIg8fptK9e3c6d+5MSkqK7EgwYQLUqAEhz1yTcwty\nmXBmArZrbDkZPAm1WsmDB/te6jct+Sm7uwewp4YXnj5JL32u59+JeIsC0ls8y0slhBA93lbHJaC0\n50FPSYiJ+X2vqujQmTNnsLS0JDU1lcePwcoK3NwgLm4OPlc6UGNtjWelZgsKoGtXuSb7K0jPTaeu\nc13WBKx57RC8vWUR8fW9jZ+fBUlJ20o8/A0bNmBqakpAQMncgl+HJEmsXr0aMzMz5p4+jVKt5uzV\nJIKaBnGuXywNG0h8+SXk5GiZM2cOVlZWz/o8cEC+hxs3Fq3mAI5EH0HpqORXr+kEBDgQE/M5BQWZ\nL/Xr7nyTEwaebJgRytN8fY6sfzviLQqIv5C3rTwLXylvq+MSUNrzoKekODnJVu3nanJMnz6djz76\nCEmS8PKSzSXJyVrCwjpz7MpoVMtVxKfHyyc/fChvZRXaCF4kPj0esxVmz4ISX8GxY3If4eG38fe3\nJDFxY4mHf+rUKRQKRZGN4r/h97bmb9uGmZ8fq2PvED08Gu9GIfTvpaVlS7h/H06cOIFSqcTZ2Vn2\nqrp+HRo0kF3YnqujEpcWR/Mtzemz/yMCro4gMNCezMyXY1ruxz5h7we+bG3sTXCEvnbIvxnxFgXk\nxUSGH76tjktAac+DnpIiSdCrF8ydW3QoPz+fli1bsnLlSgDmzJEzoTx9moyfnwULPMbQalsrOV8W\nyMZ0pVI2rr+CK4lXUDgqXqrj8TybN8u7Qbdvx+Pvb8O9e+tK/BWCg4MxNzdn9erVJb7mdYSHh2Nj\nY8Ok2bNpcPkyX8XEEL8iAbWpH3PGPMXCQs42fPPmTRo0aMDIkSPlWiY5OXJOmDp15JVdIfnafKa4\nT8F6tTWnw39BrVZy9+4KpBdSv+i0Oo7Ni+KEgSdbHSP1Kd//pYg/WUDGCyEui2erjudfyX9mx/8h\npT0Pev4TkpPB1LRYqpL4+HiUSiVBQUFFmVBWr4b0dG98fFX03N2pePqSbdtk997X1AI/du0Y5ivN\ni1UUfJFffoFGjSA5+Q4BAbbcvbuyxF/hzp071K1bl0mTJr2xTO6bePDgAa1atWLQ4MH0CQqifWgo\nt089QK1Ss2PiY5RKOcdXTk4OI0aMoGHDhs9sMdu2yVtaBw4Ua/PE9ROolqtY6DmToOBWhId/SH7+\ny4kXbwY9xsXBG+eOvty4ow8+/Lch/mQB6SZeX/ej15/Z8X9Iac+Dnv+UEyfA1haeK+p08OBB7Ozs\nyMzMJC5Ofi6GhUFCwjI8/JpisdIC95vuz9r4+ms50PA1wXKr/FdRz7keGbkZr/xckmDcONms8uTJ\nXQID7bhz59cSf4X09HQ6depE//79S1Th8I/Izc3ls88+o2XLlnwXGIhtQABhIakEOgTiNjIee3uJ\nyZNBo5FwcnJCqVQWJackJES+l5MnFxX0AkjISKDN9jb03NOToJgp+PmZvTKYsiBXy4FxYRw19mTv\nDn3w4b8JoQ8kFELoBeTvydix8PnnxQ6NHj2aL774AoC9e+VFRlaWjoiIPuzxHYTpClOSMgu9iPLy\n5FQnjo6vbF6SJCacmUCPPT1eisv4Ha0W+vWDESMgNzeRwMBaxMcvKPFXyMvLY8SIESxYUPJrXock\nSSxYsABra2uWXLqEUq3m1K0HXO15FZ9OkfTooqNrV3j0CPz9/bG0tMTb21u+OC1NLujVpg0kPis4\npdFqmOUxC4uVFpyKWI2/vyW3bs1Ap3vZnTfsXDJHzL1YM8if+4/0wYf/BoReQIQQegH5e5KdDfb2\ncOhZvYusrCwcHBxwcXEB5Af72LGg0aQREGDL9NOf0GVXl2fxHnfvytthFy++sosCXQE99/Qs7g78\nAjk58pbZ7NmQl5fM5ct1uX17bol/iUuShEbzvyvu5OLigkKhwNHFBXM/P5bH3eHmlJv42QXy/eh8\nbG0hIkJOk18sSl6ng8WLX3k/zt48i8lyE36+OJOw8D4EB39ATs7Nl/p+mpHPvkFX2G/pyXH312//\n6flnIPQCIoTQC8jflytXZIP4c1l3g4ODUSgUxMfH8+SJbOw+ehQyM4Px9jWm/fYWLPRe+KyNixfl\nh2ZCwiu7yMjNoK5zXdZfXv/aYTx8KKdU2bgR8vNTuHKlAbduzSy17ZyAgADZzXfpUhpducKX165x\nd9t91Eo1G6dnolDAkSOvudjDQ74fv/5aVJMF4H7mfTru6EiXnV0IjV2CWq0gOXn3K5vw3RXPCUNP\nVk66QnquvvLhPxWhFxAhhF5A/t4sXAjduxezZSxfvpzWrVtTUFBAYCCoVPJiIzFxI6d9amOyXIXP\nHZ9nbTg6ysuI11QWjEuLw3SFaXEbygvcuiU/d0+eBI3mEUFBTbh5c0qpiUhCQgINGzbkizFj6Bca\nSrvQUOK9UvEz9+P05CSsrCR++qmYRjzj3j1o1UqO/n+uuqNWp+XnSz9jtsKMk1GbuXy5DjExI16K\nGQFIu5ODS2s/Njf04lJY8p/4TfWUFkIvIEIIvYD8vSkokG0Zzs5Fh3Q6HT169OCnn34C5J2Zjh2h\noEAiOnoYmy52w3q1NWlPC6sIShL07w+TJr22m9+z975YBOp5Ll+WjfeXL8vbZsHBzYmNnVhqIpKZ\nmcnHH39Mly5dmBYaSvWAAMKuPSaoSRA+n96gTWuJvn2L+SI8Iz8fvvsOataUvRGe4+Lti//X3pnH\nRVmtcfzX5m3XEty3SjOXvFq5lRaapZmZRmrdiqw0rcyueltMU8tKQzPNJbfc19y31LRAZREQRNlF\nRBEVEVlkZ2be3/3jMDLAzDAoMAM838+HjzPve86ZhzM4z5xnZYOfG3D8gS8YGj6Mvr6PMC3Nv9gS\nmkHjX99GcEctD/7sHswsnSQfViUgCgSAKJDKT2QkWbs2eaqgIOClS5dYr149Hjp0iHo96eKiFIlO\nl87Q0MH8ZPcIDt40uODDPSVF2bs2brT4MiuDV/Kh2Q8xMSPR4pidO9VJJDqa1OlSGRjYlZGRI4rl\nUlQUer2eY8eOZYsWLfizjw+dvLy44+xlhg4KpW/HQH7wtp6tWyt5zbJundKKy5cXupyQnsBeq3qx\n+7LuPB6zkF5ezjx3zt3s73k+IIWbmx/mzF6HGXiu5Na/QuUAokAAiAKpGvz6K9m1qzqR5LN79242\nadKEycnJPH9embKMVT2yddlsu6AtlwUtK1jDWNo3snhRQSPjD47nM78/wxxd8UZVRhYuVD6RxERS\np7vGoKBujIh4j5p2czkfN8OiRYtYt25dLtq3jw29vTn97FnGfhdLn8Y+nPVVFuvUUU2qzBIaSrZs\nqUKfTSoLGzQDfzj8A+vOqMttocsZGPgMg4NfYE5OcZOVLlPHXcOCuamOB+eui5DkwyoARIEAEAVS\nNTAYyJ49yR9/LHR59OjRdHV1paZp3LKlcPpIyOUQOrk78VSSSSnzxYvJNm1UlJe5l9EMfG3ja3Tb\n5mbVNDVhgnKrZGaqU8/x4y4MDy/ee6Mi2bdvH52dnTl3xQo+ERBAt/BwXticQC8nL26bdJUHD1qZ\nfO0aOWiQKnt85kyhW4fPHmbjWY35v/3jGHV6Ar296zEp6U+zy0TuvMQdzp781s2bp5LNl9AXKgcQ\nBQJAFEjV4dw5FZUVHHz9UnZ2Ntu1a8clS5aQVGG9bm4FU+b5zeNTi58qaOSkaWrAO+9YTDLMyM3g\nk4ue5I+HfzR733SZ/v1Vvohen8ng4F4MC3vDrkrk5MmTbNKkCSd9+y1dQ0LYNTCQF46l0LeZL2O+\njqFmsOKv0TSV4l+nTqEmX6TqNd93bV92WdqFJ86tp49PY0ZHj6XBUPyklpOYy+29/bmshQdXesZK\n8mElBaJAAIgCqVqsWKGKBZr0Qg8LC6OTkxMjIiKup49syu8LpWka+63rx68OmFTpzchQDddNyscX\nJT4tno1mNeLmMEvxsMoP3auXyljXNFKvz+aJEy8xJMSVBoP9wlsvXrzIJ598km7vvsul585RZzAw\nNzGXQd2DeLL/SequlaDgvLzIRo3Ib74pVB7foBk4w3sGnd2duSlkFUNCBjAgoAMzM6OKLaFpGgPm\nxXJXLQ9OGu/PRDO96wXHBqJAAIgCqVoYI6qKlG1fuHAh27dvz5ycHPr5qS/RF/I72SZmJLLBzw34\nz5l/CiZERip/iEn/jKIEXgykk7sTj10oXrXWSFoa2a4dOX26em4w5PDkyVd48uSrZr+dVxQZGRl8\n9dVX6eLiwuRk5dg25BoYOTySfm38mBWTZX2BhASyRw8VQl2kUZfveV82/aUpR+8dzTPnfmVqqpeF\nRciUyAxua+fNX7p4cm+YhPtWJiAKBIAokKrH5csqFMrb+/olTdM4YMAAjhkzhiQ5ZQr54osFeRD7\nT+9no1mNmJRp0jlw40YVmZVsOXJoS/gWNvy5IePT4i2OiY9Xrd3XrFHPDYZchoS8xhMn+lKvL7nd\nbXlhjNBq2bIlY2JiSKp9Oj/3PL3qejHZo4SIKZ1OKeomTVTZXxOuZl3lK+teYaclnawWpSRJQ56B\n/4wL47baHvzhtxPMuskCk0LFAFEgAESBVE22blU5DOkFjtqkpCQ2btyYR44coU6nnNy/mlRiH7tv\nLAduGFjYJj96dKF2uuaYdmQan1j0BDNyzTveSRXIVKdOQZUQgyGPoaGDGRz8IvX6Er7tlzPz589n\nvXr16OPjc/1a8sFketXxYvwCy4rxOtu3K9/T/PmF9knTNM70nsk6M+pwV9SuEpeJ80jijoaH+N2A\nIzx2KaXE8YJ9gSgQAKJAqi5ubsoBYUJMTMz1EuqnTikrVVh+bmCOLoftF7bn4mMmvo/cXKVpLBRd\nJNUHpds2Nw7cMJAGK/keHh7qc/bkSfXcYNAxLOwtHj/ek3q9ZeVTEezZs4dOTk7caJIHkxmdSb9W\nfowaGUVDXglht9HRylb3n/8Ui2DzOufFxrMa84u/vijoy2IBXaqOewYFcW1jD87ddYp6cbA7LKgi\nCmQGgAiojodbAdQ0uTceQDSASFhuo2vv90EoL1JSlHlln+USJIsWkR06FFQxCU8Mp5O7EyOumDSc\nOneOrFuXPHzY/CJUyqfbsm78+uDXVkVat06JZPS/aJqeERFDGRTU3WxJkIrk+PHjbNy4MadNm3b9\nFKZL0/HEyyd4vMdx5l0twfGfmakqJLdtWyipk1R+pt6re7Pbsm5WzX1GQlfHc/cDnpzwiQ9jM+x7\nQhPMgyqiQF4AcGv+4+n5PwDQGkAwVE+SZgBOm4wzxd7vg1CeHDyoIoYs+DE0TVUyHz++4NrCgIXs\nsLBD4WTBvXvJhg2V89gCiRmJbDa7GdedXGdVpO+/V+kUxi/qmmZgZORwBgY+Y3clEh8fz/bt2/OD\nDz64XiVY02uMHhvNoy2OMjOqhFLtmqaqSjo7k7sKm62MiYf1Ztbj/tPFe4sUJfNcFnd09eWCdp5c\n7x8n4b4OBqqIAjFlIIA1+Y/HA/jS5N4+AF3MzLH3+yCUN59+qkwrFkhIUD73I0fUc03TOGDDAI7b\nP67wwG++UZFHVpy8JxJOlNgSV9NUR9lXXilYSimREQwM7Eqdzr7d/dLT0/nyyy/z+eefZ4pJMcUL\nSy7Qq44Xkw/aUI7E11cp7kmTilVs9Ij1YIOfG/Cbf74pKK1vAc2g0XfqKe6s5cGJ047xqoWCl0LF\ngyqoQHYB+E/+47kA3jK5txSAq5k59n4fhPImM1Mlf2zZYnHIzp1ks2YFWepJmUls+HND/n3GpDeG\nXq9aEE6YYPXltoZvZaNZjQqaV5khN1clzn/2WcE1TTMwKuojBgZ2oU5nvhNiRaHX6zlq1Ci2bt2a\nsbGx168ne+Q713+zwbmekEA++yzZt2+xE+Cl9EvssaIHe6zowUvpJYfvXglI5Y5HjvDEcVmFAAAg\nAElEQVTHXof4d+yVEscL5Q8qkQI5ACDEzM8rJmMmANhi8tycAnnNzNqcPHny9R8PDw97vy9CeeDl\npY4ZVyx/+AwfXrjJ4d7ovWzySxOmZJtEBF2+rL5ZF8nELsp3nt+x85LOzNZZDtNNSSFbtSocCaZp\nGqOiPuGxY52Yl2f/SKQ5c+awQYMG9PPzu34tMzqTfo/58dToUzToSnCu5+WRY8aocGiTCgFkQXn4\nYjk4FtBn6nlw2EluquvBH9aEMkfqaVUoHh4ehT4rUYkUSEkMBeAN4E6Ta1/l/xjZB6Czmbn2fl+E\nimLsWPKNNyzeTk9XRRBNmy19vPtjvr317cIDjxxRTnWTRlZF0TSNg/4YxHe2vmPVdh8bS9avr05A\npnNPnRrNY8c6OoQS2bFjB52cnLjF5ASXl5LH4BeCGdw7mLpUG0qzGKv6GpNhTNh/ej/rzazH7w99\nbzWKzciZ7Qnc5XyI44d68WSyfc191RlUEQXSB0AYAKci141O9BoAHgIQA+AWM/Pt/T4IFUVWFvno\no1ZNWb6+hbPUM3Iz+OjcR7kxtEiZ9x9/JLt1K1T9tyiZeZnssLAD3b0shwCTBX1ETJPelRL5jMeO\nPcW8PPuXQD927BgbNmzIGTNmXFeIBp2BUZ9E0a+VH7NO2xApdfKkys359FN1MjEhPi2e3ZZ1Y+/V\nvXkls2QTVc6lHO7p6c/FrTw5/3AMDeJgr3BQRRRINIBzAI7n/ywwufc1VPRVJIDeFubb+30QKhIb\nTFmTJpF9+hTkxPnF+7HOjDqFw08NBrJ378LhW2aIS41j/Zn1ueeUdZPXli0qyCsuruCapmmMjh7D\ngIAnmJd3tcRfrbyJi4vj448/zhEjRlBnojjj58XTq64XUw7ZcFpKSSFfflkp34uFfUQ6g45fHviS\njWc1ptc5y+VPjGiaxuMzz3B3LU/+93s/ns+2X1Z/dQRVRIHcLPZ+H4SKZuxYcsgQi7fz8lSYrWkt\nxSkeU/ji6hcLm6MuX1af+lbyTEjSO86bzu7ODE8Mtzpu5kxVB9K0Q6CmaTx9+n8MCGjPvLwky5Mr\niLS0NPbp04d9+vRhmomgV/dfpZezFy8usxw4cB2Dgfz2W7V3JuVmjOyK2sU6M+pwhvcMm0J3U4LS\nuLuFF6f28uTmaBteXygTIAoEgCiQ6ofRlLXZciXd0FBlVjK2vsjT57HTkk6c5zev8MBDh9SJJt56\nVNKyoGVs/mtzXs2yfJLQNHLkSHWwMbWMKSXyBf39/83cXPtHIOl0Ok6dOpWpqYUjxTIiMuj7iC9P\n/+80Nb0NJqU9e5S9cN68YqVizqacZeclnfnKules7pkRfaaeRz4I4ab6nvzf2mCmSfvccgeiQACI\nAqmeeHuXaMpyd1e91I3BPlFJUaz9U+3CWeokOXWqClct4UNrzL4x7LWqF3VW+oHodMp8NmJE4c9U\nTdMYE/MV/f0fZ26u5Za69iYvKY9Bz+WXhU+34UP89GlVAsXNTSl2E3L1ufzv3v+y2exm9Iv3s7BA\nYeK2JPBPp0McPewID1+xv++oKgNRIABEgVRfSjBl6fXkM8+Qs2cXXFvgv4BPLX6qcE0nvV41/pg4\n0erL6Qw69l7dm6P/HG11nLEE/IwZha8rJTKB/v5tmZt72eoa9sSQa2DksEj6t/Nn9jkb/BKZmSrR\ns337Yt0OSVXx2NndmXOOzrHJpJVzIYcHnvXnb+08+d3hKOZKuG+5AFEgAESBVF9sMGVFRxduk65p\nGvus6cNJ/0wqPDAhgWzQwEpjcUVKdgofnfsolwQusTru/HmVblJUNE3TeObMN/Tza+PQSkTTNMb9\nHEfv+t5M9bUhKVLTyDlzlEnLjE/p9NXT7LCwA103ujI1u+T1NIPGsB/PcM8Dnnz/Bx9GWGhRLNw4\nEAUCQBRI9cZoykq0bBaaP5/s1KnAQnXx2kXWmVGHvud9Cw/8+2+11kXrjtzIK5F0dnfm4bOWizOS\nZFCQUl6+vsXvnTkzmX5+rZmba7k2lyNwZdcVejl7MWGtjXIePqwU8fffFyuBkq3L5ke7P+Ijcx7h\n8UvHbVouLSCN+x/y4qS+nlwYKfW0yhKIAgEgCkQYN86qKctgUBaqH34ouLY5bDOb/9q8eA+QKVNK\nrJdFkvui97HezHolNlvas6egh0hRYmOn0M/vMebkOHbkUfrJdPo28+WZiWes91w3cuEC2bUr+eqr\nZGrx08a6k+vo5O7E34N+t+n1dek6Hn03hH809uTwdUFMlHpaZQJEgQAQBSLYYMqKi1MFZk2rcbht\nc+PIXSMLD9TrVZGryZNLfNlZPrPY7rd2TM9NL3GsJWJjp/Lo0ZYOr0RyL+cy8OlAhr4eSn2mDR0H\nc3PJjz9W74uxYYsJYYlhfGzeY3x/+/vMyrOt3PuFDQnc9+Ahjhh5mPsT7R8SXdmBKBAAokAE0iZT\n1ooVyrlt/AKbmp3Kpr80LZ4keOmSqk9i6eiQj6ZpfG/7exyyyfLpxxbOnv2BR48+ypwcGwoc2hF9\ntp7hb4cz4MkA5lywsR/8ihXKjvfHH8VuXcu5xiGbhrD9wvY8ffW0Tctln8vmP139Of8JT351JJLZ\n0j73hoEoEACiQAQj48aRgwdbvK1pqrutaTFez1hPNvi5QeFe6iR54ICy5V+yXmk2R5dD/3j/m5Ga\nJHn27DQePdqc2dmW63M5Apqm8ewPZ+nT2IfpwTaevAIDVankL78sZhrUNI1z/ebS2d2Z2yO22yaD\nXmP4lBjuedCTb//kw1BxsN8QEAUCQBSIYMRoytq0yeKQS5dUHcWjRwuujdk3xvwpYuJEVf69gr7l\nnjvnTl/fR5idHVfyYDtzeeNlejl7MWm3jaakK1eUabB3b7PNwXzP+7LJL034xV9fWM2zMSXVJ5V/\nNfXi+FcPcX60ONhLC0SBABAFIphiNGUlWf5g27RJ6ZnM/OZ8WXlZbDm3Jf8ILWJm0elUJuLUqeUn\nbxHi4mbmK5FzFfaaN0qqbyq963vz/BwbT006nSoN/8gjZEhIsdtXMq/wxdUv8rnlz9nUY4RULXuP\nvnGSG5od4tCNgbwsDnabgSgQAKJAhKJ89hn5zjtWh7z5Jvnf/xY8P3r+KOvOqMuE9CLhqvHx6sji\nVXJxwLIiLm4WfX0fZna29QgvRyDrTBb9Wvvx1CgbeosYWb1a+UXMnBT1Bj0ne0xmg58b0DPW02Y5\n4ldd5P4HD/H9Tw9zb6L9y8VUBiAKBIAoEKEoGRnkQw9ZbRp19apycZj2H/vqwFccsGFAcVPIzp1k\nkyYW+7KXB+fPz6avbzNmZcVW2GveKMbeIideOkFdmo01rAIDyaZNVTVkMybCvdF7WXdGXf7k9ZPN\npqmsmCx6POXHOZ09+bl3hDjYSwCiQACIAhHMceAA2bhx4dK4Rdi9WzXaM/pgc3Q5bLugLVefWF18\n8OjR5GuvFSsaWJ6cP/9rvhIpXh7E0TDkGRj5YST9H7ex/AmpIuZcXMiXXjKrnM+lnmOnJZ346vpX\nC3eVLEGOsK+judvpEIfM8mFI+o2HWFd1IAoEgCgQwRIffEB+9JHVIW5uqj+SkcCLgXR2dy7cO4Qk\nc3JUrafffisHQS0THz+PPj5NmZUVU6GveyNomsa4mXH0buDNtAAbOw3m5SmTY/PmqoRyEXJ0Ofxk\nzyelyl4nyeRDydzV/xidDx/hr+fPi4PdDBAFAkAUiGCJlBTVs+LQIYtDjKYs0yGTPSazz5o+xT90\nIiOV7d6MA7g8iY9fQB+fJszKsi1Xwt4kbkukl5MXE7eWourwqlVqby10myxt9rqR6MxMdjx2jC+d\nOMEEcbAXAqJAAIgCEayxfTvZokWxUuOm7NihvgAbo7Ly9HnssLCD+YKJy5aRbdoUDK4gLlxYRB+f\nxg7RHtcWrh27Ru+G3jznfs72b//Hjilf04QJZv0iN5K9TpJ5BgMnxMSwnrc3d1uJzqtu4AYViLm+\n4pWZ/L0QBAsMGQI0awb89JPFIW+9BdStC8yapZ6HXA5Bz1U9cWz4MTSt1bRgIKkG338/sHBh+cpd\nhPT0YNx3X/sKfc2bIed8DkJeCcH9ne5Hi/ktcOsdt5Y8KTERGDwYuOceYO1aoFatQrfTc9MxfNdw\nRF2NwuZBm/HIg4/YLM/h1FS4RUTgFScnuD/8MO667bbS/kpViltuuQWoevqg1NhbkQuOzuXLqsx4\nQIDFIUlJqnqJaYfWaUemsefKnjRoRcJT09KU991K7S1Bobum44mXTzC4VzDzUvJKnkAqv8inn6qT\no5k6WqbZ69sitpVKnpS8PA4JDWVrPz+eqOYOdogJC4AoEMEWVq8uXAjLDFu2qARDo7VLZ9Cx85LO\nxdvgkqSfn6rOeNbxczXsjabXeGr0Kfq18mPWGdtNT1y+XPlFtm41e9uYvf75X5/bnL1OKgW08tIl\nOnl58Ze4OBqqqYMdYsICICYswRZIoF8/oGtXYOJEi8OGDAGaNgXc3dXzqKQoPLPsGRwddhTNH2xe\nePCMGcD27cChQ8Dtt5ej8FWD+HnxiPshDm22tkHNrjVtmxQQALi6AkOHAlOmALcWNoMlZSXhra1v\nIUefgw2uG1D/vvo2yxOTnY23IyJQ87bbsPyxx1D/X/+y/ZepAogJS2FvRS5UFuLi1DdaM2YRI4mJ\nxWtlzfKZxW7LuhU3ZRkM5IsvltgKVyggaU8SvZy9eHlDKboxJiSQ3buT/fqZ7S9yo9nrpHKwf3Pm\nDOt5e3PnleqVwQ4xYQEQBSKUht9+I7t0sVogceNGslUrMjs/H05v0PPp35/mr0d/LT7YWPr9n3/K\nSeCqR/qJdPo08WHs1FjbI7Ty8shRo5SNMTzc7JB90ftKnb1u5EhKCpv5+vKjqChmVpMMdogCASAK\nRCgNBgP57LPkL79YHKJpKul8/PiCa5FXIln7p9qMSTaT0Ld/v8o3qWbfYG+GnIs5DHgygOHvhNOQ\nY2MNLVKFUTs7q/BsM9xI9rqRlLw8vhkWxlZ+fjx+7Vqp5lZGIAoEgCgQobScOkXWrk3GWM7uTkgo\nHrj1k9dP7LGih/lvt59/rkws1dQheyPoM/QMGRjCoGeDmJdkY4QWqQIYGjVSXSMNxZWPMXv94TkP\nlyp73cjqfAf7UStlcKoCEAUCQBSIcCO4u5MvvGD1A3/tWrJtW1XFhFRRWR0Xd+TCgIXFB+fmkh07\nkrNnl5PAVRPNoPH056d5tPlRZkaVIjnz0iWyWzfVIcyMX4QsyF5fGbyy1HLFZWdTX8W/DEAUCABR\nIMKNoNOp2larVlkcYuxgaOojD70cSid3J55LNdOv4/Rp5aQPCioHgas2FxZfoFcdL6Z4lsLslJur\nap21bElGRJgdEnI5hC1+bcGPdn/EHJ2NbXirCRAFAkAUiHCjBASokCsrvouLF5XJ3VQnTD00lb1X\n9zZvylq7Vjl6pc1qqbl64Cq9nL2YsCah5MGmLF2q3iRfX7O3U7NTOWDDAHZa0olxqY7f7bGiQBXJ\nA5kBoB+APAAxAN4DkAagGYAIAJH543wBfGxmfv5eCMINMHYskJQErFplcciqVarEib8/UKMGoDPo\n0HlpZ4zuPBpD2w8tPsHNDbjrLmDRovKTu4qSGZaJky+fRP1h9dF0QlNjrkLJHDsGtGwJ3Hef2dsk\n4e7tjtl+s7Fm4Bo8//DzZSh15aSq5IG8AMCYHTQ9/wdQCiTEhvl21uNCpSY9XTU2+usvi0M0jXz5\nZXLKlIJrxy8dp7O7My9cu1B8QlqaamhlIYNasE7OxRwGPBHAiPciaMgrRYSWDRyMOch6M+tx+pHp\n1b7EO6rICcSUgQBcAbwNpUB2AXi8hDn5eyEIN8jevcCoUUBICHD33WaHxMcDHToAnp5Amzbq2iSP\nSQhOCMaON3YU/6bs6wsMGAAcPw40aFC+8ldB9Bl6RLwZAS1HQ5vNbXB7zbLL9D+fdh6vb3odDe9r\niBUDVuD+f91fZmtXJm70BGJDSUy78T6AP02ePwTgOABPAN3sIZBQDXjpJaBzZ+Dbby0OadQImDoV\nGDYMMBjUtYnPTkRsaizWh64vPqFrV+Djj4F33wU0rZwEr7rcfu/taLu9Le5qeReCnglCTlxOma3d\nuGZjHB56GHXvqYuOSzoiLDGszNYWyocDUOaooj+vmIyZAGCLyfMaAB7If/wEgDgA5gyc9j4JClUB\nY+KHlQgqYw7inDkF1/zj/VlnRh0mpJtx/Op05NNPkzNnloPA1QNN0xg3K47eDb15LbDsk/uWH19O\nJ3cnrg9ZX+ZrOzqoQiasoQCGA3gegKWvGh4AxgEIKnKdkydPvv7ExcUFLi4uZS+hUPVZvhyYPx/w\n8wMs9Io4dQp4+mkgMFAVXQSArw5+hZiUGGwatKn4hNhYoFMn4MABoH3l6eXhaFzZegWnRpxCy+Ut\n4dTPqUzXDk4Ihusfruj/aH+4v+COO267o0zXdxQ8PT3h6el5/fm36sTtiPqgVPQBEAag6F+FEwDj\n/+KHAcQDqIXi2FuRC1UFTSN79CBnzbI67Mcfyd69C3IQs3XZbDm3JTeFbTI/Yc0a8rHHKryLYVUj\n1TeV3vW8GT8/vuTBpSQ5K5l91/Zlt2XdePHaxTJf3xFBFTmBREOZq5LznxvDdV0BfAtAB0ADMAnA\nHjPz8/dCEMqA6Gjlvzh2THUxNINOpw4VY8cC77yjrvmc94HrH64I+SgETneb+Yb81ltAzZrAggXl\nJ3s1IPtMNk72PYna/WrjEfdHcMutZfdxplHD94e/x6LARdjgugHdm3Yvs7UdkRt1ojuaArlZRIEI\nZcuPPwJeXsCePYCFPITAQKBvXxW4VaeOujZm3xgk5yRj5YCVxSekpSkT1pw5QP/+5Sh81UeXrEPo\nwFDc4XwHWq1uhdvuKtvWtHuj92LojqEY3208Puv8me25KJUMUSAKUSBC2ZKXBzz5JDBhAvDGGxaH\nffEFEBcHbNignmfkZaDtgrZY1G8RejfvXXyCt7dqjnT8OFDf9sZHQnG0XA2R70ci50wO2u5oixp1\napTp+rEpsXD9wxWP1n4US/svxb017i3T9R2BqhjGKwj2p0YNYMkSYMwYIDnZ4rApU9RJZNcu9fze\nGvdiUb9FGLlnJDLyMopPeOYZYMQI1V1PQntvilv/dStarWmFB3o9gKCuQciKyirT9R964CF4v++N\nu++4G52XdkZUUlSZrl+ZkROIINjCp58CWVnA779bHOLpqfwgoaHKxQEAbtvc4HS3E2b1nlV8gl4P\ndO+ueuf+97/lI3c149Lvl3Dm6zNos7kNanU3F2dz45DE0qCl+Pqfr7G432IMbDWwTNe3J2LCUogC\nEcqH9HSVdr5yJdCjh8VhH36oon5/+009T8pKQtsFbbHzzZ3o1LBT8QlnzqjExYMHgX//u5yEr14k\n/5WMiLcj0Hx2c9T9T90yXz/gQgBe3/Q63mz7Jr7v+T1uv7XsMuPthSgQhSgQofzYuRMYN055y++8\n0+yQ1FSgbVtg3Trg2WfVtXUh6zDdazoCPww0n1ewejUwfbqK9rrrrnL8BaoPGSEZCHk5BA1GNkCT\n8U3K3PmdlJWEN7e8CYNmwIbXN6DOPXXKdP2KRnwgglDe9O8PtGsHTJtmcUitWsC8ecDw4UBOfhrs\nm23fRKP7G2GGzwzzk95+W637+eflIHT15N7H78UTR5/AlU1XEDU8CpqubP1MTnc7Yd9b+9C1UVc8\ntfgpHI0/WqbrVxbkBCIIpSE+XoXgenurkuEWGDQIaNFCRQEDQFxaHJ5c/CS83vNCSycz81JT1brz\n5gH9+pWT8NUPfboe4W+EgzqqQoz3l725aUfkDgzfNRzfunyLkU+NrJShvmLCUogCEcqf2bOVOevv\nvy3mhiQkqEPFX38VVC2Z6zcXm8I3wXOoJ269xczh/8gRYPBgFdpbr145/gLVC02v4fSnp5HmnYbH\n9zyOOxubNz/eDNFXo/HaH6/hqQZPYUHfBbjrjsplihQTliBUFKNGqRPDmjUWh9SrpyxdH35YULH3\n444fQ6fpsCRwiflJ3burEr/vvQfIF6Ey49bbb0WLBS1Q160uElYmlMtrtKjdAr4f+CJLl4Xuy7vj\nXOq5cnkdR0NOIIJwI/j7K59IeDjw4INmh5CAiwvw+usqChgAwhLD4LLSBcEjgtHw/obFJ+l0QLdu\nKh541Kjyk18oF0hilu8szPCZgbWvra003Q7FhKUQBSJUHKNGqQ98K+1qIyPVweL4cdVHBAAme0zG\nicsnsG3INvP28uhoVeb38GGgVatyEl4oT/6J/Qf/2fIfjOs6Dv97+n8O7xcRBaIQBSJUHGlpQOvW\nwKZN6gPfAlOmACdOANu2qee5+lx0WNQBU3tMhWtrV/OTFi0CFi9W3QxrlG1pDqFiiEuLg+sfrnj4\ngYfxe//fHboEivhABKGiqVkTmDULGDlSnUQsMH48EBFRoED+dfu/sLT/UozeNxop2SnmJ334oaqR\n9d135SC4UBE0qdkER947gnvuuAddlnZB9NVoe4tU5sgJRBBuBhLo0wfo1ctqHsfhw6qKe1gYcH9+\n2+1Rf45Cjj4HS/svNT8pIUE1X9+yxeoJR3BsSGJR4CJM8piEZa8uQ79HHS9MW0xYClEgQsVz+jTQ\npUvh1oRmGDZMJZrPnaueX8u9hrYL2mLFgBXo+VBP85N27FDNRoKDgfvMdXEWKgu+530xaNMgDHti\nGCY9N8l8KLedEAWiEAUi2Ifvv1eRWTt2WMwNSU5W5bS2b1flrwDg4JmDqHFbDTzb9FnLaw8bpv5d\nauGkIlQaEjISMGjTINS6sxZWD1yNWneWbcHHG0UUiEIUiGAfcnNVMcTp04EBAywOW7++oOzVHba2\n205PV9mIP/9sdW2hcpBnyMO4/eOwL2Yftg3ZhrZ12tpbJFEg+YgCEeyHpyfg5qYcHRbMTSTw0ktA\nz56qCZXN+PgAr72mTFmSpV4lWHViFcb9NQ7z+87H4DaD7SqLKBCFKBDBvrz7LuDkpE4LFoiNBTp2\nVBavhx8uxdoTJyoFsmuXRTOZULkIuhQE1z9c8Xqr1zGt1zS7lYYXBaIQBSLYlytXlKPDtAiWGdzd\nVSmtfftKoQvy8oCuXVWI74gRZSOvYHeuZl1VpeFpwAbXDXC+x7nCZZA8EEFwBJydVQneESMKimCZ\nYcwYFaW7fn0p1q5RQ9XfmjgROHXq5mUVHILad9fG3rf2olODTui4pCMCLwbaWySbkROIIJQ1mqa6\nSb39tkoytIC/P/Dqq8plYqGclnnmzVNNqLy9gdsrfzc8oYAt4Vswcs9IzHhhBoa2H1phrysmLIUo\nEMExCAlRnvKQEKtO79GjVav1UkXoapryxD/9NDB58s3LKjgU4VfCMXDjQDz/0POY3Wc2atxW/qVs\nRIEoRIEIjsOXX6oGVGvXWhxy7ZpymaxZAzz3XCnWvnhRZanv3FmQVCJUGdJy0uC23Q1XMq9g8+DN\naHBfg3J9PfGBCIKjMWkS4GqhWGI+998PLFmi0khKRYMGwPz5qux7ZuaNyyg4JDXvrIltQ7ahb4u+\n6LikI7zivOwtklnkBCIIlRk3N+Cee4DffrO3JEI58Wf0n3hvx3uY9OwkfNzx43IpDS8mLIUoEKF6\nkZamTFl79kjvkCpMTHIMBm4ciA71O2DhywvLvGWuKBCFKBCh+pGeLoUWqwGZeZkYtmsYopKisHXI\nVjSr1azM1q4qPpCpAE4ACAbwN4DGJvfGA4gGEAngxYoXTRAcFFEe1YJ7atyDda+twzvt3kGXpV1w\n8MxBe4vkcArEHcC/AbQHsB2AMUaxNYAh+f/2AbAAjie7zXh6etpbBJsQOcsWkbNsqQxylrWMt9xy\nC8Z0HYP1ruvx+YHPka3LLtP1S4ujfQinmzy+F0BS/uNXAawHoANwFsBpAJ0qVLIypDL84QMiZ1kj\ncpYtlUHO8pKxx0M9EPhhYJn7QkqLI6ax/gDgHQDZKFASDQAcNRkTD6BhBcslCILgMDhCQyp7SHAA\nQIiZn1fy708A0ATAcgCzrawj3nJBEAQ74shRWE0A/AmgLYCv8q9Nz/93H5R/xK/InNMAHqkQ6QRB\nEKoOMQCa21uIm6WFyeNPAazOf9waKjKrBoCHoH5ZR1Z+giAIQgWzGcqcFQxgC4A6Jve+hjphRALo\nXfGiCYIgCIIgCIJQbekDdRKJBvClhTG/5t8/AaBDBclVlJLkdAGQBuB4/s/ECpOsgGUALkOd/Czh\nCHtZkpwusP9eAir51QNAGIBQAKMtjLP3ntoipwvsu6d3Qvk5gwGEA5hmYZy999IWOV3gGH+fAHBb\nvgy7LNy3936WK7dBmbKaAbgD6k0rWgSoL5QDHgA6o3AIcEVhi5wuAHZWqFTF6Q71R2Lpg9kR9hIo\nWU4X2H8vAaAeVCIsoHKZouCYf5+2yOkC++/p3fn/3g61T92K3HeEvQRKltMF9t9LI2MBrIV5eUq1\nn/YPJC49naA+mM9CJRZugEo0NKU/gJX5j/0A1AJQt4LkM2KLnID9gwGOAEixct8R9hIoWU7A/nsJ\nAAlQXxYAIANABFQekymOsKe2yAnYf0+z8v+tAfWlLLnIfUfYS6BkOQH77yUANIJSEkthXp5S7Wdl\nVCANAZw3eW4uqdDcmEblLFdRbJGTAJ6GOir+CRVt5mg4wl7agiPuZTOoU1PRcHNH29NmMC+nI+zp\nrVCK7jKUyS28yH1H2cuS5HSEvQSAXwB8DkCzcL9U+1kZFYitCYRFtWtFJx7a8npBULbofwOYC1X/\nyxGx917agqPt5b1QUYWfQX3DL4qj7Kk1OR1hTzUoU1sjAM9CmYKK4gh7WZKcjrCX/QAkQvk/rJ2G\nbN7PyqhALqBwld7GUFrS2phG+dcqElvkTEfB0XcvlK/kwfIXrVQ4wl7agiPt5R1QYehrYP6DwlH2\ntCQ5HWlP0wDsAfBUkeuOspdGLMnpCHv5NJSJKhaqtmBPAKuKjHG0/SxzbodKJPx/bbkAAAJWSURB\nVGwGZW8syYneBfZxrNkiZ10UaPtOUP4Se9AMtjnR7bWXRprBspyOspe3QP2n/MXKGEfYU1vktPee\nOkHZ4AHgLgCHATxfZIwj7KUtctp7L4vyHMxHYTnCfpY7L0FFjZyG6hMCACPyf4zMy79/AsATFSpd\nASXJ+QlUCGUwAB+oN6yiWQ/gIoA8KNvn+3DMvSxJTkfYS0BF32j5chhDNl+C4+2pLXLae08fhzL9\nBAM4CWW7BxxvL22R0957WZTnUBCF5Wj7KQiCIAiCIAiCIAiCIAiCIAiCIAiCIAiCIAiCIAiCIAiC\nIAiCIAiCIAiCIAhVm9sBtLS3EIJQXlTGYoqCYA8ehSqCNwLAQQC/5z8OhOX/Ry5Q5UJuZC7y7826\nedEFQRAEezIYqoIqAOxDwcniDStzPrmJuQ9AdY4LLLWkgiAIgkNh2hv6jMnj9kUHmvDRTcw14mHD\nGEEQBKES0ALAARvGdULxnhC2zjVFFIjgsIgPRBBKRycA/jaMexLAsRucKwiVgtvtLYAgVDI6Avjb\nhnHmvpwVnXs3gNdRvIVoJlSbWUEQBKEK4Q2gXgljWgLodYNziyImLMFhuc3eAghCJeHfANygIqri\nAcQBqA2gD1Sv6SCTsa8D2AYVwmtpbmYJr3cPgFEABgDQQ7Xy1ZXB7yEIgiA4AHNR3PwEAJ9WtCCC\nYA/kBCIIN059KF9HU6iTBQA0AFATQIS9hBIEQRAqJ0OgzE+CIAiCIAiCIAiCIAiCIAiCIAiCIAiC\nIAiCIAiCIAiCIAiCIAiCIAiCIAiCUHn5P2x3B0IMSgRNAAAAAElFTkSuQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0x5afdf50>"
       ]
      }
     ],
     "prompt_number": 2
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "plt.plot(acc,ms,'o')\n",
      "m,b = np.polyfit(acc,ms,1)\n",
      "plt.plot(acc,m*np.array(acc)+b)\n",
      "print m,b\n",
      "plt.show()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "-6.08930221451 -5.42477887222\n"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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K9iIxVlxc1ugLUiTcy1te5ueP/xyAI78/hv0PbIXKViHH5OZOZfnyaXW+jp1L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\nk6wA0riq84EAAAAASUVORK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0x3648b10>"
       ]
      }
     ],
     "prompt_number": 3
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Final solution is \n",
      "\n",
      "\n",
      "$$m = -6.08930221451 \\omega -5.42477887222$$\n",
      "\n",
      "and \n",
      "\n",
      "$$\\ln\\left(\\frac{p}{p_c}\\right)=m\\left(\\frac{T_c}{T}-1\\right)$$"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "acc = np.array([CP.Props(fluid,'accentric') for fluid in CoolProp.__fluids__])\n",
      "mm = np.array([CP.Props(fluid,'molemass') for fluid in CoolProp.__fluids__])\n",
      "pc = np.array([CP.Props(fluid,'pcrit') for fluid in CoolProp.__fluids__])\n",
      "Tc = np.array([CP.Props(fluid,'Tcrit') for fluid in CoolProp.__fluids__])\n",
      "rhoc = np.array([CP.Props(fluid,'rhocrit') for fluid in CoolProp.__fluids__])\n",
      "\n",
      "plt.plot(Tc, acc, 'o')\n",
      "\n",
      "a = np.polyfit(Tc,acc,3)\n",
      "x = np.linspace(np.min(Tc),np.max(Tc))\n",
      "y = np.polyval(a,x)\n",
      "plt.plot(x,y)\n",
      "plt.xlabel('$T_c$')\n",
      "plt.ylabel('$\\omega$')\n",
      "print a"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "[  6.67228479e-09  -7.20464352e-06   3.16947758e-03  -2.88760012e-01]\n"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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MZsqTPKwUAmwHWgBhwFrg6iLn3AzUdbzuCaxycy3risNIwEVFjXZZt+jaa58s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\nREREREREREREREREREREREREJEj8PzSwsmfXGylCAAAAAElFTkSuQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0x7413c10>"
       ]
      }
     ],
     "prompt_number": 18
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "acc = np.array([CP.Props(fluid,'accentric') for fluid in CoolProp.__fluids__])\n",
      "mm = np.array([CP.Props(fluid,'molemass') for fluid in CoolProp.__fluids__])\n",
      "pc = np.array([CP.Props(fluid,'pcrit') for fluid in CoolProp.__fluids__])\n",
      "Tc = np.array([CP.Props(fluid,'Tcrit') for fluid in CoolProp.__fluids__])\n",
      "rhoc = np.array([CP.Props(fluid,'rhocrit') for fluid in CoolProp.__fluids__])\n",
      "\n",
      "plt.plot(mm, Tc, 'o')"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 5,
       "text": [
        "[<matplotlib.lines.Line2D at 0x6a80a50>]"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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5JqGn5wGGDBluO4na3XfPLWMJRUS8xZc1+/37PwZG2n525pnncvfdV2t5QBGR\nJL4M9gcOHMAsiZuptvYks2ZNV3AXEUniy2ac+vqRwAH6Uyr7DRu2QHPei4jY8GXNfvz4c9m5sxF4\nBLgJs9ztGUyZohGyIiJ2nNTs/wk4CPwqadsoYCuwG5PYntyAvhx4G9gFNLpTzFQmt34LJhNnE7CB\nUOgsVq/+Vil+TkTE95xMgv814GNMNfoPrG1rgfet56XA2cAyYDKwEbgSGA88C1wCfJZ2zKIXL9FK\nViISNOVYqWoi8DSJYL8LaMDU+OuBGHApplb/GXC/tV87ZoKa7WnH00pVIiJ5qsRKVWMwgR7reYz1\nehywN2m/vZgavoiIVJAb2Thx6zHY5yIiUkGFZuP0N9/0AGOBQ9b2fcB5SftNsLZliEajA6/D4TDh\ncLjAooiIVKdYLEYsFnPlWIW22a8FDmPa5pdhsnGSO2inkuigvYjM2r3a7EVE8lRMm72Tmv0mTGfs\nOcBvgDuB+4DHgVuAPcAca98ua3sX0AcsQs04IiIVV9AVwgWq2YuI5KkS2TgiIuIjCvYiIgGgYC8i\nEgAK9iIiAaBgLyISAAr2IiIBoGAvIhIACvYiIgHgi5Wq2to6Wb++gxMnahg+vI+mpkbNXS8ikgfP\nB/u2tk6WLNlCd/eagW3d3WbtWQV8ERFnKtaMM2/eUoYNu5aamhsZNuxa5s1barvf+vUdKYEeoLt7\nDa2tW8tRTBGRqlCxYL9p0xH6+p7m5MlH6et7mk2bjtgG/BMn7G8+enuHlrqIIiJVo4IdtA9nvH/i\nia6MvYYP77P9dm3tyRKUSUSkOnkqGycePz1jW1NTI6FQc8q2UGgFixfPKFexRER8z1MdtEOGfJKx\nrb8TtrV1Fb29Q6mtPcnixTPVOSsikoeKzWcPC0htylnATTeNZuPG+ytUJBERbyv1SlUlMgq4Fjgd\n+IibbrpcgV5EpEQqWLPvX6lKNXoRESd8WbMfOvRGhgz5hBtumKxALyJSYqXKxpkJ7ALeBmxHS/37\nvy/i6qu/yP79dUQiK2lr6yxRUUREpBTBfijwvzEBfzJwEzApfaclS7bQ0XEP27ZF6ei4hyVLtgQy\n4MdisUoXwTN0LhJ0LhJ0LtxRimA/FXgH2AN8CjwKXJe+k6ZAMPSHnKBzkaBzkaBz4Y5SBPvxwG+S\n3u+1tuWkKRBEREqjFME+nnsXe5oCQUSkNEqRenkVEMW02QMsBz4DklJuhuyH+NgS/LaISDXrBi6q\ndCH61WCrrbtJAAACoElEQVQKNBE4FXgNmw5aERHxv28A/4XpqF1e4bKIiIiIiEgp5BxwVUX+CTgI\n/Cpp2yhgK7Ab6ABGJn22HHNedgGNZSpjuZwH/BzYCbwJNFnbg3g+aoGXME2cXcDfWtuDeC76DQV2\nAE9b74N6LvYAb2DOxcvWNl+ei6GYpp2JwDCqvz3/a8AVpAb7tcAd1uulwH3W68mY8zEMc37ewWPr\nDRSpHviS9foMTDPfJIJ7Pk6znmuA7cBXCe65APgu8BPgKet9UM/Fu5jgnsyX52Ia0J70fpn1qGYT\nSQ32u4Ax1ut66z2YK3TynU47JrOpWj0JXIPOx2nAK8BlBPdcTACeBb5OomYf1HPxLjA6bZsr56Lc\nV4GCB1xVkTGYph2s5/7/iOMw56NfNZ+biZg7npcI7vk4BVMrO0iieSuo5+Lvge9hUrT7BfVcxDEX\nvleBb1vbXDkX5Z71suABV1UqzuDnpBrP1xnAT4ElwLG0z4J0Pj7DNGudBWzB1GqTBeVcfBM4hGmj\nDmfZJyjnAuArwAHgXEw7/a60zws+F+Wu2e/DdNT1O4/UK1MQHMTcigGMxfyhQ+a5mWBtqybDMIH+\nx5hmHAj2+QD4CGgD/pBgnos/BmZjmi82AVdj/j6CeC7ABHqA3wL/FzPXmC/PRRAHXE0ks4O2v51t\nGZmdLacCF2LOU6UWlymFIcAjmFv2ZEE8H+eQyKioAzqB/0kwz0WyBhJt9kE8F6cBZ1qvTwf+HybD\nxrfnIkgDrjYB+4HfY/oq/gLT0/4s9mlUKzDnZRcQKWtJS++rmKaL1zC37DswabhBPB9/APwScy7e\nwLRXQzDPRbIGEtk4QTwXF2L+Jl7DpCf3x8cgngsRERERERERERERERERERERERERERERERERkeL8\nfxQLGG7yXX5XAAAAAElFTkSuQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0x6b64990>"
       ]
      }
     ],
     "prompt_number": 5
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "a,b,c,d = [],[],[],[]\n",
      "for fluid in CoolProp.__fluids__:\n",
      "    Tc = CP.Props(fluid,'Tcrit')\n",
      "    Tt = CP.Props(fluid,'Ttriple')\n",
      "    rhoc = CP.Props(fluid,'rhocrit')\n",
      "    pc = CP.Props(fluid,'pcrit')\n",
      "    T = np.linspace(CP.Props(fluid,'Tmin'),Tc-0.5,200)\n",
      "    rhoV = CP.Props('D','T',T,'Q',1,fluid)\n",
      "    x = (Tc/T-1)/(Tc/Tt-1)\n",
      "    y = np.log(rhoV/rhoc)*(T/Tc)**1.5\n",
      "    plt.plot(x,y)\n",
      "    pf = np.polyfit(x,y,3)\n",
      "    a.append(pf[0])\n",
      "    b.append(pf[1])\n",
      "    c.append(pf[2])\n",
      "    d.append(pf[3])"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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UsrNvDxaPnUBtejpTymLoVxyLa007mjANoRNDCb0oFMtgC6L6u6NkWZbZVXaA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\n",
       "text": [
        "<matplotlib.figure.Figure at 0x815ee30>"
       ]
      }
     ],
     "prompt_number": 53
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "acc = np.array([CP.Props(fluid,'accentric') for fluid in CoolProp.__fluids__])\n",
      "mm = np.array([CP.Props(fluid,'molemass') for fluid in CoolProp.__fluids__])\n",
      "pc = np.array([CP.Props(fluid,'pcrit') for fluid in CoolProp.__fluids__])\n",
      "Tc = np.array([CP.Props(fluid,'Tcrit') for fluid in CoolProp.__fluids__])\n",
      "rhoc = np.array([CP.Props(fluid,'rhocrit') for fluid in CoolProp.__fluids__])\n",
      "\n",
      "plt.plot(pc,d,'o')"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 31,
       "text": [
        "[<matplotlib.lines.Line2D at 0x7b3f5b0>]"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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       "text": [
        "<matplotlib.figure.Figure at 0x7b01f10>"
       ]
      }
     ],
     "prompt_number": 31
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [],
     "language": "python",
     "metadata": {},
     "outputs": []
    }
   ],
   "metadata": {}
  }
 ]
}