pyn-rickFeb20-Z-P_analysis.ipynb

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   "cells": [
    {
     "cell_type": "heading",
     "level": 1,
     "metadata": {},
     "source": [
      "Test PGF vs Z"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "%matplotlib inline\n",
      "#%config InlineBackend.figure_format = 'retina'\n",
      "from matplotlib.pylab import *\n",
      "rcParams['figure.figsize'] = (12,8)\n",
      "rcParams['font.size'] = 18\n",
      "#import logging"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 1
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "import pynbody\n",
      "import pynbody.plot.sph as sph\n",
      "import mmap\n",
      "pynbody.ramses.multiprocess_num = 16\n",
      "pynbody.config['number_of_threads'] = 64"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 2
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "pynbody.openmp.get_cpus()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 39,
       "text": [
        "16"
       ]
      }
     ],
     "prompt_number": 39
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "import matplotlib.pyplot as plt "
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 40
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "s = pynbody.load('output_00008')\n",
      "s['pos']\n",
      "s['pos'] -= 0.5\n",
      "s.physical_units();"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
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       "stream": "stderr",
       "text": [
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       ]
      },
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       "stream": "stderr",
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      {
       "output_type": "stream",
       "stream": "stderr",
       "text": [
        "INFO:pynbody.snapshot.ramses:Loading data from CPU 245\n"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stderr",
       "text": [
        "INFO:pynbody.snapshot.ramses:Loading data from CPU 246\n"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stderr",
       "text": [
        "INFO:pynbody.snapshot.ramses:Loading data from CPU 247\n"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stderr",
       "text": [
        "INFO:pynbody.snapshot.ramses:Loading data from CPU 248\n"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stderr",
       "text": [
        "INFO:pynbody.snapshot.ramses:Loading data from CPU 249\n"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stderr",
       "text": [
        "INFO:pynbody.snapshot.ramses:Loading data from CPU 250\n"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stderr",
       "text": [
        "INFO:pynbody.snapshot.ramses:Loading data from CPU 251\n"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stderr",
       "text": [
        "INFO:pynbody.snapshot.ramses:Loading data from CPU 252\n"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stderr",
       "text": [
        "INFO:pynbody.snapshot.ramses:Loading data from CPU 253\n"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stderr",
       "text": [
        "INFO:pynbody.snapshot.ramses:Loading data from CPU 254\n"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stderr",
       "text": [
        "INFO:pynbody.snapshot.ramses:Loading data from CPU 255\n"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stderr",
       "text": [
        "INFO:pynbody.snapshot.ramses:Loading data from CPU 256\n"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stderr",
       "text": [
        "INFO:pynbody.snapshot.ramses:Done\n"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stderr",
       "text": [
        "INFO:pynbody.snapshot:Converting pos units from 5.75e+22 cm to kpc\n"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stderr",
       "text": [
        "INFO:pynbody.snapshot:Converting vel units from 6.79e+07 cm s**-1 to km s**-1\n"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stderr",
       "text": [
        "INFO:pynbody.snapshot:Converting tv units from 6.79e+07 cm s**-1 to km s**-1\n"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stderr",
       "text": [
        "INFO:pynbody.snapshot:Converting smooth units from 5.75e+22 cm to kpc\n"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stderr",
       "text": [
        "INFO:pynbody.snapshot:Converting p units from 1.36e-10 g cm**-1 s**-2 to km**2 Msol s**-2 kpc**-3\n"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stderr",
       "text": [
        "INFO:pynbody.snapshot:Converting rho units from 2.94e-26 g cm**-3 to Msol kpc**-3\n"
       ]
      }
     ],
     "prompt_number": 41
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "z = 1/s.properties['a']-1\n",
      "print \"Redshift =\",z\n",
      "boxsizestring = \"%.2f\" % s.properties['boxsize'].in_units('kpc')\n",
      "boxsizestring += \" kpc\"\n",
      "print boxsizestring"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "Redshift = 21.6448505569\n",
        "18.62 kpc\n"
       ]
      }
     ],
     "prompt_number": 42
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "s.g['metal'][s.g['metal']<1e-7] = 0.0\n",
      "s.g['pzf'][s.g['pzf']<1e-7] = 0.0\n",
      "s.g['pgf'][s.g['pgf']>(1.0-1e-7)] = 1.0\n",
      "linex=(1e-7,1)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 158
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "s.g['metal'][(s.g['metal']<1e-7) & (s.g['metal'] > 0.0)]"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 167,
       "text": [
        "SimArray([], dtype=float64)"
       ]
      }
     ],
     "prompt_number": 167
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "s.g['pgf'][(s.g['pgf']> 1.0 - 1e-7) & (s.g['pgf'] < 1.0)]"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 163,
       "text": [
        "SimArray([], dtype=float64)"
       ]
      }
     ],
     "prompt_number": 163
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "log10((1.0-s.g['pgf'])/s.g['metal'])"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stderr",
       "text": [
        "-c:1: RuntimeWarning: divide by zero encountered in log10\n"
       ]
      },
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 169,
       "text": [
        "SimArray([ nan,  nan,  nan, ...,  nan,  nan,  nan])"
       ]
      }
     ],
     "prompt_number": 169
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "s.properties['a']"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 44,
       "text": [
        "0.0441601501183778"
       ]
      }
     ],
     "prompt_number": 44
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Compute Z/(1-PGF) for some cells that just had material injected... "
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "7.912972411832847E-004/(1.0-0.990147208044243), 4.521492112415679E-004/(1.0-0.994370090176656), 6.494841724725266E-004/(1.0-0.991912985289372)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 38,
       "text": [
        "(0.08031198108480642, 0.0803119810848063, 0.08031198108480878)"
       ]
      }
     ],
     "prompt_number": 38
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "1/0.08031198108480642"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 26,
       "text": [
        "12.451442318974024"
       ]
      }
     ],
     "prompt_number": 26
    },
    {
     "cell_type": "heading",
     "level": 1,
     "metadata": {},
     "source": [
      "Plot"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "liney=(1e-7*12.45144,12.45144)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 45
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "plt.loglog(s.g['metal'],1.0-s.g['pgf'],'.',linex,linex,linex,liney)\n",
      "plt.title(\"Z vs (1-Pf) z=%.1f\"%z)\n",
      "plt.grid(True, which=\"both\")\n",
      "axes().set_xlabel(\"log Z\")\n",
      "axes().set_ylabel(\"log 1-P\")\n",
      "plt.ylim(1e-7, 1)\n",
      "plt.xlim(1e-7, 1)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 162,
       "text": [
        "(1e-07, 1)"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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KCxfCN74x6kRf+U8uXj19DGwc4NC/PZQla5ZwZ+FOzj/y/JZO9CHDu/G4+6w62g4Bl5cu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\niEiL+v/8IVInAMIzpwAAAABJRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x17ff914d0>"
       ]
      }
     ],
     "prompt_number": 162
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "10.0**-5.4/10.0**-5.8"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 84,
       "text": [
        "2.511886431509577"
       ]
      }
     ],
     "prompt_number": 84
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "# The points below the line but not equal to 1 ... which means 1e-10/1e-10\n",
      "arrayFilter = (s.g['ratio'] < 12.0) & (s.g['ratio'] > 1.000001)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 205
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "# Compute the ratio we plot above... \n",
      "s.g['ratio'] = (1.0e0 - s.g['pgf'] + 1e-10)/(s.g['metal'] + 1e-10)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 206
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "# The points below the line \n",
      "len(s.g['ratio'][arrayFilter]),s.g['ratio'][arrayFilter][0:20]"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 207,
       "text": [
        "(47, SimArray([  7.86536851,   7.91920576,  11.19391683,  10.94393683,\n",
        "          7.90954249,  10.43756113,  11.41672608,  10.26347264,\n",
        "         11.86575476,   5.64411692,   8.57613079,   7.55429878,\n",
        "          7.09910409,  10.1629608 ,   8.74416479,  10.39330442,\n",
        "          9.78367446,  11.38933178,   6.60042919,   5.69010523]))"
       ]
      }
     ],
     "prompt_number": 207
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "badPoints = s.g['pos'][arrayFilter]"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 209
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "badPoints[0:5] # First 5 entries (0->4)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 210,
       "text": [
        "SimArray([[ 4.9654197 , -1.18224279, -1.90977681],\n",
        "       [ 4.95632553, -0.9185117 , -1.73698748],\n",
        "       [ 4.77444202, -0.99126511, -1.73698748],\n",
        "       [ 4.88357213, -1.11858356, -1.71879913],\n",
        "       [ 4.95632553, -0.93670005, -1.71879913]], 'kpc')"
       ]
      }
     ],
     "prompt_number": 210
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "# Pull out the x and y coords.\n",
      "badXY = badPoints[...,[0,1]]"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 211
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "boxsizestring"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 212,
       "text": [
        "'18.62 kpc'"
       ]
      }
     ],
     "prompt_number": 212
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "plt.plot(badXY[...,0],badXY[...,1],'.')\n",
      "plt.title(\"Locations of bogus points\")\n",
      "plt.grid(True, which=\"both\")\n",
      "axes().set_xlabel(\"X kpc\")\n",
      "axes().set_ylabel(\"Y kpc\")\n",
      "axes().set_aspect('equal')\n",
      "plt.ylim(-9.3, 9.3)\n",
      "plt.xlim(-9.3, 9.3)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 241,
       "text": [
        "(-9.3, 9.3)"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
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vSVKHmPFLklQgM35JkmTjV/PMCMtmfctmfdvHxi9JUoeY8UuSVCAzfkmSZONX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\nlySpQ2z8kiR1yP8HkzuqN00lfJcAAAAASUVORK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0x10aec43d0>"
       ]
      }
     ],
     "prompt_number": 241
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "plt.plot(badXY[...,0],badXY[...,1],'.')\n",
      "plt.title(\"Locations of bogus points\")\n",
      "plt.grid(True, which=\"both\")\n",
      "axes().set_xlabel(\"X kpc\")\n",
      "axes().set_ylabel(\"Y kpc\")\n",
      "axes().set_aspect('equal')\n",
      "plt.xlim(4.0, 5.3)\n",
      "plt.ylim(-1.6, -0.3)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 240,
       "text": [
        "(-1.6, -0.3)"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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VfaYvsuvS7UXA9ykO4zwK2AxYS3Fa69dZKUiSNFgbpzAAyMxTM3NFZt4qM++Y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\nkiQ1ZgEhSZIas4CQJEmN/X9dyuqSiX+hYQAAAABJRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x10ab24a90>"
       ]
      }
     ],
     "prompt_number": 240
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "# Cut out a cube of the \"important data\" ... around the area of interest above. \n",
      "impData = s[pynbody.filt.Cuboid(\"4.0 kpc\", \"-1.6 kpc\",\"-5 kpc\",\"5.3 kpc\", \"-.3 kpc\", \"0 kpc\")]"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 227
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "coords= [-4.6,1.0,0] # Center the plot on our cuboid\n",
      "with pynbody.transformation.translate(impData,coords):\n",
      "    titleStr = \"Z @ z = %.1lf\" % z + \"\\nVol ave @ %s\" % str(coords)\n",
      "    sph.image(impData.g,qty=\"metal\",width=\"1.3 kpc\",cmap=\"YlOrRd\", denoise=True ,av_z=True, log=True, vmin=1e-6,\n",
      "              approximate_fast=False,title=titleStr); #vmin=0.006, vmax=1.0,"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stderr",
       "text": [
        "INFO:pynbody.sph:Rendering image on 64 threads...\n"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stderr",
       "text": [
        "INFO:pynbody.sph:Rendering image on 64 threads...\n"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stderr",
       "text": [
        "INFO:pynbody.sph:Rendering image on 64 threads...\n"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stderr",
       "text": [
        "INFO:pynbody.sph:Rendering image on 64 threads...\n"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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DMy7h8TrgRDOb6NN0fTyhSTs7wPvPB/YAn4pBslQDpszsTsCiu/9v7xvPOec9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\n",
       "text": [
        "<matplotlib.figure.Figure at 0x1024a47d0>"
       ]
      }
     ],
     "prompt_number": 228
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "with pynbody.transformation.translate(impData,coords):\n",
      "    titleStr = \"PGF @ z = %.1lf\" % z + \"\\nVol ave @ %s\" % str(coords)\n",
      "    sph.image(impData.g,qty=\"pgf\",width=\"1.3 kpc\",cmap=\"YlOrRd\", denoise=True ,av_z=True, log=True, \n",
      "              approximate_fast=False,title=titleStr); #vmin=0.006, vmax=1.0,"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stderr",
       "text": [
        "INFO:pynbody.sph:Rendering image on 64 threads...\n"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stderr",
       "text": [
        "INFO:pynbody.sph:Rendering image on 64 threads...\n"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stderr",
       "text": [
        "INFO:pynbody.sph:Rendering image on 64 threads...\n"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stderr",
       "text": [
        "INFO:pynbody.sph:Rendering image on 64 threads...\n"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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1OfqsRURERGQsVRZFRERk6qjaNTn6rEVERERkLFUWRUREZOqo2jU5CosiIiIy\ndWy7b+AQomAuIiIiImOpsigiIiJTR9WuydFnLSIiIiJjqbIoIiIiU0fVrsnRZy0iIiIiY6myKCIi\nIlNH1a7JUVgUERGRqaOwODn6rEVERERkLFUWRUREZOqo2jU5+qxFREREZCxVFkVERGTqqNo1OQqL\nIiIiMnUUFidHn7WIiIiIjKXKooiIiEwdVbsmR5+1iIiIiIylyqKIiIhMHVW7JkeftYiIiIiMpcqi\niIiITB1VuyZHYVFERESmjm33DRxCFMxFREREZCxVFkVERGTqqNo1OfqsRURERGQsVRZFRERk6qja\nNTn6rEVERERkLFUWRUREZOqo2jU5CosiIiIydWwr5s7xLTjnDFAwFxEREZGxVFkUERGRqZPZFpQB\nVVkcSZVFERERERlLlUURERGZOlvSZ1FGUmVRRERERMZSZVFERESmjgqLk6OwKCIiIlPHtmKAi4yk\nZmgRERERGUuVRREREZk6GuAyOaosioiIiMhYqiyKiIjI1FFlcXJUWRQRERGRsVRZFBERkamzJcv9\nyUgKiyIiIjJ11Ao9OWqGFhEREZGxVFkUERGRqaMBLpOjyqKIiIiIjKXKooiIiEwdVRYnR5VFERER\nERlrZsKimWVm9iwzu8TM9pnZN83spWa2sM7zvdPMajP7wmbfq4iIiGyMmW/6Q0abpWboVwCnAecC\nLwFuCTwDuK2Z3dvdV/2nwMx+Dfh1YB+gPz0iIiI7TKZm6ImZibBoZicSguI57v6Ixv7LgFcDjwLe\nscpz7QZeC/wN8ODNv1sRERGR6TErzdCPjttXtva/AdgLPHYN53oRYa7P56M5P0VERHYks81/yGgz\nUVkETgIq4FPNne6+aGafj68flJndHng68Ch3/5npT46IiIgc4malsnh94HJ374147TvAMWa2YjCO\nr78R+JC7v2cL7lFEREQ2ieGb/pDRZqWyuAAsjnltf+OYq1Y4x3OAmwAP2sT7EhEREZlqsxIW9wLH\njHltjjCiee+4N5vZzxP6KP6pu+/Z9LsTERGRTaWeYpMzK2Hxu8DNzawc0RR9LKGJur/C+18GXAH8\nYwyOSQF0zewmwF53/177jRdw+eDr41ngBNY1raOIiMiOdBl72TO+3rJtFBYnZ1bC4qeA+wB3AD6e\ndprZHHAb4MKDvP84Qr/HL415/VLg/Yxooj55bEFTRERk+p3QKoRcxBXbeDeyHWYlLL4TeB5wOo2w\nCDwFmAe3dOItAAAgAElEQVTelnaY2XWBI4FvuPu+uPsM4IjWOY0w3+I+4PeBA6qKIiIisj0yrbgy\nMTMRFt39i2b2GuBUMzsHOA+4BWGi7gvd/e2Nw18MPA44Gbgovv8jo85rZi8DrnL3c7fy/kVERER2\nqpkIi9HpwB7gqcApwI8Iq7ec2TrOG4+D0X9bREREdiD1WZycmQmL7l4DL4+PlY57IvDEVZ7zhE24\nNREREZGpNTNhUURERA4dKixOjsKiiIiITB3TAJeJmZXl/kRERERkC6iyKCIiIlNHA1wmR5VFERER\nERlLlUURERGZOpkqixOjyqKIiIiIjKXKooiIiEwdjYaeHIVFERERmTpqhZ4cNUOLiIiIyFiqLIqI\niMjU0dQ5k6PKooiIiIiMpcqiiIiITB0NcJkcVRZFREREZCxVFkVERGTqaFLuyVFYFBERkamjAS6T\no2ZoERERERlLlUURERGZOqosTo4qiyIiIiIyliqLIiIiMnUMTZ0zKQqLIiIiMnXUDD05aoYWERER\nkbFUWRQREZGpY5pocWJUWRQRERGRsVRZFBERkaljKndNjD5qERERERlLlUURERGZOhoNPTkKiyIi\nIjJ9NMBlYtQMLSIiIiJjqbIoIiIiU0cDXCZHH7WIiIiIjKXKooiIiEwd0wiXiVFlUURERETGUmVR\nREREpo76LE6OwqKIiIhMHzVDT4xyuYiIiIiMpcqiiIiITB01Q0+OPmoRERERGUuVRREREZk6puX+\nJkaVRREREREZS5VFERERmToaDD05CosiIiIydTTAZXL0UYuIiIjIWKosioiIyPTRAJeJUWVRRERE\nRMZSZVFERESmjga4TI4qiyIiIiIyliqLIiIiMnU0KffkKCyKiIjI1NHUOZOjj1pERERExlJlUURE\nRKaOaYTLxKiyKCIiIiJjqbIoIiIi00flronRRy0iIiIiY6myKCIiIlNHXRYnZ2Yqi2aWmdmzzOwS\nM9tnZt80s5ea2cIq3nukmT3TzM6P79sbz/O3ZnaDSdy/iIiIrJ5ltukPGW1mwiLwCuBlwBeBU4F3\nA88A/tkOPmTqjsBLgQr4a+DpwAeAxwJfMLNbbNVNi4iIiOxkM9EMbWYnAqcB57j7Ixr7LwNeDTwK\neMcKp/gKcDN3v6x13n8BPgy8EHjEqDeKiIjI5GlS7smZlY/60XH7ytb+NwB7CRXCsdz9G+2gGPd/\nBPgJcOJm3KSIiIjItJmJyiJwEqEJ+VPNne6+aGafj6+vmZkdARwG/NeG71BEREQ2j0a4TMysVBav\nD1zu7r0Rr30HOMbM1hOM/5gQqN+ykZsTERERmVazUllcABbHvLa/ccxVqz2hmT0cOAM4z93P2tDd\niYiIyKZSn8XJmZWwuBc4Zsxrc4DHY1bFzB4AvA34T+CRG747ERER2VSa6mZyZiUsfhe4uZmVI5qi\njyU0UfdXcyIzux9wLvAF4L7ufvVKx1/A5YOvj2eBEzjotI4iIiJT4zL2smf19RaZQbMSFj8F3Ae4\nA/DxtNPM5oDbABeu5iQxKP4j8GXg3u7+04O95+SxBU0REZHpd0KrEHIRV2zj3QxpfMvkzEqL/zsJ\nTc2nt/Y/BZgnNCkDYGbXNbObm9l880Azuy/wXsKci/dy9yu39pZFREREdr6ZqCy6+xfN7DXAqWZ2\nDnAecAvCRN0XuvvbG4e/GHgccDJwEYCZ3Q74p/j6WcAp7UVf3P3srfweRER2KiP8bzx9nfiIY0Um\nRX0WJ2cmwmJ0OrAHeCpwCvAjwuotZ7aO88YjORHoxn2vGHFuBxQWRWSmrOVX7ahj1/ur2hvvVeAU\n2fnMXX9V18vM/AXcbLtvQ0TkoJrhbKfVY/RbaLq8gK/i7tv6x8jMfP99b77p5507/5Jt/952olmq\nLIqIyAg25utRMqBufD1KzfKm6Y1S07ash+ZZnByFRRGRGbWa8oiNOO5gv4PT6+spv9QHeV3N0yI7\nj8KiiMgMWinIrbYg0w5uzarjekNd+9rjwuNmVi5lNmmAy+QoLIqIzJBxvz5XWy082Dnbx63m13V7\nROG467aPU2AU2RkUFkVEZsC4fomjmplXOjYNgDlY5XAtIa499U76unmO9sCb9lQ9Co3Spkm5J0dh\nUURkytkqt+2vYXyl8GC/h9cb4kbdy2oCqaqMIttHYVFEZAqNqhaOComrCYcrBcOVXltrdbH99WrD\noEKijKI+i5OjsCgiMmVGBa92WExft8NhNuKY5mt145iV+hquppn4YL/KRw2WGTfgRRN5ywE0dc7E\nKCyKiEyJlaqJWWtrrUf7+HGVyIzRoaz5dd06ZjUTfbfD6ag+iqOuMeoe1CQtMlkKiyIiU2BcUEyP\ndljMRhzTfr15LufAQs2oANd+vXlvzarkqPtvfw/N842rYtaoqihjqBl6YhQWRUR2sHF9DlcKi80K\nYfv19jma+9phL4W5UfMspv3N8DbqHM3vY1yzd/Nczaphu0m8eV1VF0UmR2FRRGSHWktQzA7yNSwP\njaOqjk3NIFg3tlnjNR9xbD7iexg1wjq9J91PqiCmbduoqqYC4yFOfRYnRmFRRGSHWSkkpufjgmF7\nnzEMcO397SCZwle76bkZFtvbdmgc9X2MCqTeejSrknXjPc3qogKjyPZQWBQR2UFWU00cFRBzDgyM\neeO45uujguao/oTtQDeqmth8tKuCK03L0zy+BqrW87q1v/2+5nMFxkOU+ixOjMKiiMgOMWoQS9q2\nm5ybYTBneSDMG18XLA+KRetYMzB88DXE8Ofg2ODrpN13sB0Wx019035PCoZVfPQZhsMUEJtT67QH\nuIwKjO37kxmnZuiJUVgUEdkBVpo7sRkU2xXEZkBMwXDU1+G5h+MN8szJDTLzUKBJ26j2cAc+In1Z\n4ybdU7CE2i2EwEH50ZZV/gZB0eMDow/0CGGxzzA4pvCYmqKr+HWVTt24HwVEka2lsCgiss1WW1Ec\nFRTb4bBsbEuGIbFIATFz8qz5dXiemS9bazcFwGYSyzIw83BPzbCIUdchLDpQ1+BugyCZTtM8rqqN\nqoZeDX03ejB4pO+n33i0NauTzWZoVRgPIWqGnhiFRRGRHWRcUGyPaG5WFFMoLFgeEjtAbk6ROXnu\nlJmTZU6ZO0UR9he5k+eQZY5lFpqlzXD3ZVVFywzLIMuNLG/ekIFDXTl1r8Zrp6rAYwnQnUFArB2q\nOmz7VUavb/Qqo1dllDX03FgkBMaK5eG417jkSlPqiMjmU1gUEdlGq5lse9xglhQOmyGxJITEjoWK\nYZHXlDEUFrlTxpBYljVlx8g7GXnHyArDiizcTwZexegVS4hZBlYYeZmRFUZWDkuL7uB9p+47dc+p\nK6j6NdSO107dJ2xjoKyWnF6/ZqmfsdQ3lvrOUmUUVUZRhSrjEiEgpu+5/Vn1Gl9Xja8VGA8hqixO\njMKiiMgOMepX36hpceDA0JgCY5cQFIvcKfM6bkNIDNuasmsU8wXFfEYxl1F0MqwMFUPLbFkJz3HM\njKwMxzCfwVwOuQ1vzoGew1INizX0nGqxAg+hs+4TQmLPqZdqqsWa3v6acn9FuZhR9Jy8l7FkkGdG\nURlFbSw1vufmIJea4XRA7aUHm5+bgqPI5lBYFBHZAdoVxXZIhANDY7O62GFYUSxyp1PUlEXc5k6n\ncMoSivmccj6jWMgo5nOK+Zysa9hcDoWFas0gaXl4nhmUBgs5dGNYnMuGQbEG+vUwMC7V5Psq6Hvo\ncLhUwZLjSzXV/pr+vppiX01xTZ/8mop8f6qCemiW7mfkVQyNsWl61JrV7Um90xyNComHCI2GnhiF\nRRGRbTJqBHTzeXNfs7rWHtySBoQ0g2KncDplTSd3OqVTzlmoIs5nlLtyyvmcfFeO7Y7Br5tBJxte\nqDkfTW7QTcflw2CZZ3G4chzeXDn0arxXx9AYntMLFUfbW1Hsq8mvqSiuqULzd2lkV1fk+2qKnrHU\nM/LMQ3N0PyOrMrLayBoJcNRqL966Zc2/eAhQM/TEKCyKiOwgzcriqH3timOzslhkoem5UzjdsqZb\n1pQllHNGuZAPgmKxEIIiu+NjIQ9hsLThL+BmZTE3rJNBmcFcEUJlJzZFZ1kYxVLVobrYd6yXqooO\n/UZ43F/D3gq7uk/x0z5Z7CuZlRl5GQJjvhhCY69vYWBO5eT9jKxv4Da4tebk3OlrjYQW2RoKiyIi\nO9SopulmZbE5XU4RRzl3ymFQ7HSgnA9BsVzIKXfl5As52WE57C5CUNyVw3wewmBucUCLN9bhC2GR\nIlYfu0WoLnZLKHLI81hZrKFfQVXhvSoGx1BVtDA/DuyqYaGPz4dzZZ2MsuiTlUZeGnm3pthX0dtf\n01t0en0j73mY1ocM+tkgMDariu2v21PpKDzOKDVDT4zCoojINhjXBD1qBHR7lZYUFFNFsbRQUSyL\nmm5Rh+bnLnQWYpNzDIv5YTm2K4fDWkGxm4cwOGqpFCNUD8vQBE03w+a7MDcHRRFewwhDoCvo97B+\nBf0+3q+gV8XJFGN1MTeszPBOBkVG1jGsm5F1++Tdiv6cke+tKfbXlPtriv1pHsh4ezEwrrQmtZqg\nRTaXwqKIyDZL+Sxrfd1euq89PU4X6JoP+iV2y5q5Tk13Hjq7cjq7czq7cordOdmuHA4vh03Pu2JI\n7Oah72Fa2sVs+UzaKSx2wsPmYlDsdkNYLMpwkDtUfegtQb8PVR+rauj38KU+9PpQ1KGvYyfDyhBA\nvWvYXEXezcjmKoq9FcVcRW9vRX9fTVZUZPvq4aThRqgw1rasj2JTs/9iu9IoM0R9FidGYVFEZAdJ\nVcRRy/U1Rz3PAXNZCIrzZc1ct2K+UzG3YHQOK+jsLujszskPL7AjilBFPKoIlcS5PPQ5TP0Qi0bp\nrpmyBjdkUBjW7cL8fAiK3TkoS8jy8F4nhMVuF3q9YWjsF1jeg6KHF/1wrcVqeM6O4QtVCK9X98mv\nrsiuqSiu7tPbW4d5IMuK/JqKLKvIMidbBJYyzG1sS2SzT2P6NhQYZ4yy4sQoLIqITFh7lHPaNget\nNB+pipi2cwZlVg8qiXNlzUK3ptyd0z2soHtETnl4GULikQUcXmCHF2HKm04jKBahL6IVWQh9HuKV\np7X+3MEMy7IQDMsyhMG5+RAWi4KwrEsW3usl9HvhXHkRwuPSUujXWJZYr4fn+0NQ7MeQWmRYJ8fn\nK1jIYKHCrqnId+XkP+tTdI28E/o0Zj/rk2dV+JwyJ1/KKKpsWXN9U5q4u0ZENkJhUURkm7SDYnNN\n52ZT8xzDkNjJazpFCIid0kNY3G10dnXoHpHTOaIgO6KEo8LDDg/VROaL2OewgE6OFUUIf2Gtv9j3\nEHAPzcfe6BWYZaG5OQXG+XnIS8g7YGl67LgQdJaH/otlGSqMrdBoRQmdJXxpMYTFTg6LVWgSn8vx\nXRXsreDqPsyHuSCzuT55tx+m2vlpnzyvyBfjutaLkFVG5nZAl0tnuK60mqNnkJqhJ0ZhUURkB2gP\nWukC84SguGDOXJw7sVvUdDvOXNfpLkBnd0nnsBAS8yNKOLqAa3WwI0rYVYSpbuZL6BZhYEp3DsoO\nlEUIcpbFR2yG7vcJiz3HwGgAFkJgUcZ+ih3Iu5DFXyGpn6NX4AVkfaj74bxFEc6ZF4O+jPQKrNOB\npUW814O5Ghb7sJRjnQrmKnx3HLH9sx7ZrpzOQk42l5HPZRRXVRRX9cMa17mT78+xXmiWhvHrRavC\nKLI+CosiItto1LJ9XWAhPTJnvqxCBbHjzM05c/OxX+LhOeURJfmRxaCSyBEd7LAYEBc62EIX5hdg\nfg46c1B2Y9grQgCkOaglTq5NFZqV62o42CWsBRgCYpZDVoaqosX+itTgWXhPWk6FDLJq2Cxd9MOI\n6bIMfRrLEuvHQTFlD+/1oVuFSuNSBZ0Kn4tN07tyyoWMfD6nmOtRdIz8qtjHMZUUlzJ8xEjpURN2\nywxQZXFiFBZFRLaBNbbNeRPT4JUFYFfuLHTCwJWFOWduAeYOy+kcXlAeWZAfWWJHl3B0CUeU2GEl\n7CphoYstzMGu3SEozu0KQbGYg6wTmpAtH4ZFGs3OdRUrhFWsLtbhdYu9Ai0DK2IlMqY0r+P8hwZW\nx6ZoIK+gtmG/xjyLK73ESmNdxUEwHSh7WG8JyiW80w9LBHaqMGq6W+FxicFsLqfsZmRlmKfRsh5m\ndShsOlS9jMqNKtz1YNsMjSKyNgqLIiIT1B7c0p4ipznSea6sWehULMzVLBxmdI8o6R5VUBxVkh1T\nhubmI0uIIdF2d2HXfAiJCwswtxu6u6BcgLyLFfOhIpjFUcxpcWevQzjEQ/Ox9/G6Gu73ujHvYgx/\nsLxfI4TjLJ7TYqUxBcoULjPiRN95CKN5LzRV50VoGi8KrNeDIvRp9DghuJVhQI4XhhVGkYPFUdhe\n96iqiqqGqjb6faNPCIrtsAho/ehZoUm5J0ZhUURkwpoTb6fHsj6LBt3cmSsr5rs184dldI8omDu6\npLhOiR3TgWNiv8TdoW+iHb47BMWF3bDrMOgsQBmCohXzUMxDPh/7KcYm5bSkXwqMdS+Ew6qHZX3w\nCk+BsW5GrhR5U5CsY8iMFUqPxy4LkxYHw9ShKdti87QZWByGkuZ5zGLIzJbih5XCZgiInofr5xV0\nlmqqpZr+ktPr1/Srml5t9GsbhMVR60g3tzKl1Aw9MQqLIiLbpL3Wc8lwou1uHPHcnTc6u3Pmjioo\njynh2h24dgc7ohOC4u4S270Au3fD7sNhfjd0YjWxsxsrF0JILOZj03MZw1oxbGKuqxAUrQDvh+Pq\nfthXxwlo8iz0N7Q0rU4KkLCskbfuN4Jl+kbTABiPlcfYqdEA8mGoNGKfSQZN4FbVyzNnTViHerGG\nxYJisaJcrOnur+kt1Sz1arp9o1fn9AjT5zSbozUqWmTtFBZFRLZZe37FMnPKIkyN01nImTs8pzx8\nOIjFdpewUISm513zsGsXzO8KU9p0FmJY3IUVMSjmcyEk5t04MCVVFWN/wyxeve7FsGaDfouDYFX3\ngToEtUHlsIp9HPsxcMY6nvdjAEx9IYlVRIbHYMNgmQbJNLNnloUqaB4HxaRUXcTlAucymMuwXQXF\nzyqK+YzO3ppur6ZXGf06o18N+y7Gu192GYXG6WZqhp4YhUURkW3SXPM5NUGXFqaD6RROZ84oFjLy\nhRyOKMJjVxHmTJwvsG4Rl96bi3Mfzg0DYVaGgSxZEQNi3A6iaSMypdBXx55+9eKgv6JX/fh6rxEO\n0yM2UVdp9HSsQnoVt40oVveHFUaz4Xvc45Q6jf6RVT/sW1qCfjWsNqakl1ab6YRlCvNuRt7JKDoW\n1scuQ3N0v8pYwugxDIupykjcKjCKHJzCoojIhLSbnZuDW9LyfqUxmD+w6BjlfE6+K6zlzHwWl+qL\nq5+U5XBwSJaW7IvT2ywru6RKYKMiOBjx3I+VwdjkXC1CtYTXvRggl8K2WopBrsdwIEw1DJBVCoip\n32Lj6yz10PRGc3IKgXF0dFWFYNiPSwVWNfT7eFVDLz76dahEVjFw1j5YjjArwkovZQlFL1Rmy8qY\n64ewuMQwmOfLPxWZVuqzODEKiyIiE9acLqc9bU5qgi5LJ5/LKeYybCEPq7DsKsJazmWGlXkYUVwU\ncRWW2A/RsmEfQG8Fw2ox3oA1mo97IazVS/HRw/uLjfDYi8fFpuaq8bXXIbD103OGAdFiE3dz/Lc1\nvk6VxSr1mazDvl4PqipM1l05LMWQuFQNQqP3athfQ98HLdqWxcCYh7CdHp2+08HowKDCmAa+NOur\nCo0i4yksiohMSHMUdLOfYlq1pROboIvcKTtG2Q2TULMQHlZYCIu54XmG5Y2l9lLcSdXDug/WG1YY\n6yqESSA0NcewWPXAQ2D0ej/0l2JIXBoOcql6oeJXx+pfCnd1DHpVPZyTMQXCuhEaB1PnNPanRzpP\naoquqmE1sXLoDUMivRpfrGF/FQa47K+h5yE0ApYqjLmHtaMzD+GxGlZu0yNVFa21lSmiPosTo7Ao\nIrLFrPV1s5qYRkCHsBjXfo5N0MV8hs1l0I2PIk5snWfDUDYYqJLmS6wHS+25ZVgaSJIVLJvOpq7w\nOgXCfgiH1WIIhiksVv3YLNyLzcS94aou/f7ysJdGRtdV45u1RjN0utfGUoJODIp1CIi1x6bmuO2n\nbQ1LjaC4t4K9w9DoleO1h7nD0+w7RgiL5uTYsqb+FNSbE6MrKE4hNUNPzLrDopndEvgfd1+Kz28F\n7HX3r2/WzYmIzJL2nIqp6TlNxF3mNWXhFKWTd3Oy0uKki1nYpoEd7fTpPhyNXC0xWOvZHU/VRcsJ\n8yI2VmpJVcO6FwPjYiMgLoVtvz98pL6J6UEMae6tKW8Y/iJ3hlXFQV/GFDIJ76s9VBGrWE3sx6/7\nHpqce/Wwkri/ERj319T7wzyLdd+pax8OvrbhI8fJYmBsBsVUYUy3KSKjrSssmtmzgJcBzwX+Mu7+\nGvB0M7vY3S/YpPsTEZlqKde1V2pJQbFLCIrdzMNUOWVN2TGKrpGXGVZamC4mlcva3ENwS+EPYtWx\njgExpcs0KCQNSkkBsdcYYNIIiL2l2DRcDaqKHquAVKmKGIOee2zXdZaNeG6Ohk63no5LAXEQFolh\nscb7MTD2aljy0F8xBcWlGvaF8Fjvr+nvr+jvr6kWa+qeU1e+LJNijrWCYnpUjW26RYXGKaLK4sSs\nt7J4FPB44GNph7vvA15qZn8GKCyKiLQMpgpkeVVxHqfMazpFHUZCd8JUMFZanB7GWNa5rnYsVed6\nvTDAZSkHNyjizIL1EoOgmAa6wLCZuuqH/odVbGKu+uFcgybneExV4ykgpoA3aEKOz5ujnFNTs9tw\nAu9Bk3l8nkJiFZujK8d7MRz24qCWmrBNg1l6HpudnXqpplpyqsUqbOMqLlWvpuo5VWXUtQ0GW1u8\nlVEj0WuWxWkRGWG9YTFz978f81q53psREZkl7ariqOlyOoTRu50yBMayDPMGZh3DutmwemLtwBhH\nD6fBIb4/Xs2XDzSB4YCUfgyFVRpM0qgc9nqDc3lVDQNdvx4GxF49TFRVPSzfpeAIqZx34IeRRkpj\nMXgSm5gbFcR+Myw6LPrwea+mXvIQCBeduh8CY90L2/5i3PaNqraYQy0+hs3OoyqMKTBqoMuU0QCX\niVlvWDzBzAp37zd3mtlhwIkbvy0RkdnSrGrlDEdAz+EUWZrqBfIO5IWR5RYPjttUiatCgPK8xvq9\nYZgsY6Dr98JqKWkgSRqxXMfqYNWL8xn2B83X3u432G/1KVzWXOzD6mHdaH6ul3+/nva101ca5bwU\nQ2Lfh1PkLKZBLTEkVo7HiqH3PYTDvlP1Qkisl5x+LzY/952qb/T7Rq+yYQt547NvB8bUZ7EdGEVk\nufWGxQ8DnzazvwW+CuwHbgM8E/irTbo3EZGZ064u5gZFnqZ5cfI8IyvDFDCWx2Xw+o67Y80BIf0a\npx+ao9PUNXkPlrI412JjlHLq09jrx6lpGs3AKfDVdSsYMmgiHlQWKwZ9FH3wvsY9QSNIxtdo7E/v\nH4xyDt8bi/WwybkC74fKoVdO3YvhsB8fqcI4eK2Os/cY/cro16EJuqqMOlYVYfS0Re3Kb2Mct0wD\n9VlckZk9BHgwcAvgMODHwLeBc939PWs517rCorufZWbXBl5O6J8NYb7TF7n7G9dzThGRWWeNR6pw\nNad5ybI4r3ae+hrS6OfHMOD1bZB04hiOEAjz2C43WGvZByOYPU1BU/nySmEqvzWfLwuP4TVvVhVT\nNXDQBE3jfb68PDcYbUK8Lo3RzoSQuBQHtVStUFhB3Xe8SoExNUXHYyoPreh1aHqu09ahjh9Q81aa\nE6E3A3urKCrTQs3QY8XxI4cDHwLeRVjEaB64FnA/M7udu//Ras+37qlz3P0lZvYm4FcIP7JPuvsP\n1ns+EZFZZK1H2jeocplj5iE0ZoRRz8CgOpeCXa8OawH2moNWiIND6uG0OukCKZwNpqSph+dbVlH0\n4ajl/jAoeuUhzDWrixXDCmM7YKbXgGXr6DWbqN2HQbMirsYSgqj3fTCaeTCqOX3dd6p+s7nZh90w\n6yzcQj3sq1jVNpjzOxWf2ivmpJDYb/181AwtM+Kb7v76Ma+9xcx+dy0n2+ik3OnvV5+QWkVEpKEd\nFtuh0RhOJD3gcfqXyrHYR5HFGi8My1LV0GKHu+bci41hGs3paZrhcDCBdaPC6MPX6NN4XyNQ9n14\nzlRNTIF0ECAbYTEd5439sULqgwEu4V7qKobF5mNZlTFWFWNITNXEMOJ5GBBTaKzdlmVgM8j9wOmL\nemN+LjIl1Ay9khuaWebuBxTOzawL3GgtJ9vIpNxnAn/McPTzPjN7nru/ar3nFBGZFeN+jY0Ki0Oh\nb6KnMJYmqN5fQRHaq93Aaoc6C6+nUdLLT9MIgY0m5DSXYWrWbjZJV43q4mBf45h0zqp9DZa/v3kM\nDCqgodLnIc5WHhabqTy0dvfrsPx0DIjer+PsPsN+i+E1BsGwSqGwZtA30Rsh0X34oYTPefnE3O2+\ni+2irMiUuwj4gpl9HbiSMLbEgGOAWwF/sJaTrXdS7qcBTwZeAHySMKjvzsBzzey77v7u9ZxXRORQ\n0WhsHhbeYkj0Klbbeo4tOhR1eKT3lB5GPxcWxrKkdJMGpTSboBsVRcyGy+kN+kC2mrv7rWCY0leq\nHKaBKzZ8j8frevqGYohMz33wReN79NDMnKaAXBYUq9DUHOYOj0ExLUHt1giHjaBICnmNkJjmV7QQ\nFDNf3l+xHRSbPxsFximgPotjufu/mtlJwN2B44CjgauAS4GPuQ/m2lqV9VYWfw24tbtf2dh3fuzD\n+EpAYVFEpKHZT7G5LzVDh6WdLQajYdOrLdZYBtCHuggpprAQHnOLoSYGwWbYa1YEU9BLyTRV/nr1\ncBRzqiIO3l8PE1gMsMtWZIG4FHUMgTEAQgqEjXDYfE/ljRAZwqfXISyGJmkGi8ykCmTqn5jmTAy5\nMyx8ExYAACAASURBVFQRzRx3a3yWjrmRmVNjIShmhlfDZf9SU/Son0m8NZGp5+57gfM241zrDYuf\nawVFANz9W2Z28QbvSURkJrQrWLA8oDS79A2aT+tQUav6NdmSYXlNPugL2A8DXAarujTmYuy3mo4d\nBnMlDiqPPnzebkJuVhRjCEz9Jts8VRPTiOzB3Isp9A1n7/E0SXcKq3FSw9STKp1rWGmMA148hubW\n6GrHBk/zLGTaNPjbCEHR4hJ/GTEwNn4eBaFbZnre/JlovsUpoz6L62ZmN3P3r672+PWGxZWmoxqs\n4GJmj3b3d6zzGiIiM2NUcEzcLVQVnbhcc03WM6rcwSogJ/cqDHQpLTRBZ4QKY9JsSh5UBP3AsBgu\nOBiE4vUw7IWg6sPFVpzh8c2m8uY4mkEzNDjD69V1fB7LiM3BJoNqY7wmMBzokoJk3TiG4XuyWEU1\nnNohzyxWKGOIzMJ7rHYqjCJ3+nFWIa9t2bJ/jPhZyBRRM/RGPA7436s9eL1h8YtmdhrwT419BjwG\n+KGZHUf4MZ4OTCQsmllGmBT8dwijfH5EmFvozFiKXc05HkD48G4NLAIfAf7A3fdsxT2LyGxqB5BR\ny/21Q2NY6tmoqpq852E+QasHw6S9MrKeY7EJ2jILbalJYwTyYPWUxujkVMkzY1CtSwNMmu+pq2F4\na97bAd+jNV5LTcOD4Lf8/bS+bObNdPLB8elcjdm0s5ju3J3ajSy+ZrXhMYimVnirIfM4z6I7VW1k\nsV9nZk7utuxnkH4+qRk7VRdVWZRpZmZ/B5ywwiG/yATC4puABWDcyOfXxO0k/769AjgNOBd4CXBL\n4BnAbc3s3u6j/rkbMrOHAe8BPgucARxJCLufiJNXfm8rb15EZsuo0bajps6BRhEwBcaeY3mILO5Z\nmDKmzMgKJ8vDoBbL4zQ6cTB0ajZO51vWZzCFr2Ghb9j8m97XfA4HzlTdSLbWHoGdrtu8hxT+6uEh\ng+/XPdw7wybkZugEj6vXeOivaZDVxDWeh99XWuAmfHYeps2xUNUMFxo2KLtD5kZuTuE2mD4nJzSV\njepPqsC4w6kZeiUvIoTBsxhdQD9jLSdbb1j8OvBIYN8KxxjwznWef03M7ERCUDzH3R/R2H8Z8Grg\nUaxQ4TSzEvhr4BvAXVMl0szOAy4mjPr+na26fxGZXePmWWz2W6zTbDa1UddxipilGsjIvaauDO+D\nFZBlFoMig7AILG8mTl8Mgtuw72DqExgqiyk0Lu9zOEhJg7kbYyUxPiwbEaZi4lsWTpv3FW9pUJGs\nQ2BMzdpmoUpoOWSWDUKr1bY86EIcTR2vl76/GqoMqtqpzQYVVCPDYvUxjZ7OPYTEguUruqSfS/P7\nUmCUaeTuXzOzi939olGvm9lN13K+9YbFv3D3rxzsIDN72TrPv1aPjttXtva/AXgx8FhWbg6/O3A9\n4PnNJmt3/7yZXQg80sye5u5aOlRE1qQdEA9ofoY4steo3elXFodweEhAtWF9w/NQbctyw/JGULQQ\n29LKL+7h6xSwms3Dg1MORjAPB5cMRj17o39hFueeibJ8uH8QHtP30U5YPtyXgmO4r8Etx3OloEgY\nijKYlzEG24pG38d4zeYAmTiK2mvI/z979x4nW1bXd//zW7uqu88ZBuQSozMRGFEh0ShRMYrmQaJG\nXip5YdQYI0J8IqiR26gx3lBBUXmiRKI+BCEXMPDgBQUDXhC5BAkCClEUJCozgDOiAiMwpy9Ve6/f\n88daq/aq3VXd5/Sluuuc7/v1qqnqqr137drTp/vbv3WLefm/Li2f2EYjxIh1/YlGd9LMQ0ZH6mTf\n0lcZS3GzNEWrwniOqbJ4IHf/qQNee86VHOuoa0MfVKW7j7u/O2+3ksoi8CBSS8Kb6ifdfc/Mfj+/\nftj+kOaMHHoj8I+BTwIODcgiIkOLmp8X9VeM0egsLwGYp7spFbjQGJZXcAlVVTFNq5NC3SzAzTU5\n+8KRx/1ch8xGYZuVEJajW+j7DZqlATiYYTmQ2vCDlV1LtXB2KJsLh9A3o5cKaZhVK20une2beqeq\ngjo5LJbVXjondNDklV9CTJXGFKRDrm6mMLzZpbC4QV60hv0t76DR0bI+zOwZwMvd/bcWvBaArwV2\njzIX9lEn5f4hd1/WMfJngC8+ynGP4Qbg/e4+XfDabcDnmNnI3dsFr5f9y7aL9ge4EYVFEbkMdTNz\n/Xj4GlQVtNxEGqPT5SphdAjuNCEth2ctYClYEXLYaqpj183SDPorlnAY2VdRnC0IVjf1ptgGoTRB\nOyHmScCbftBJ6Xu4NAmXL0tIzFVJa/rm9FA97tfG7vcZjoqZTetTHudwOAuNeYnAkOerDAbBIsEC\nZhEn9H0c6Ze69urtagqM55RGQw9dB7xtyWs/CnwRcIuZRXd/8ZUc+KjN0I/JgXE2A7iZNcBTgS88\n4jGP4yJp9PIiu9U2Hz5gf5YcY3ewjYjIgeoW06UhkWrBldwEHSMpKOY+jE15PZLmDuzIk0yDBe+D\nVwlsoTT3pnf06GDMJreGPmgR+7kdYX8FD1IgDJDGiVi6984xh9hAoB9gUz6kmc2qh17mQCxVxaYK\nijkkhlG62ShXT0sTd95+GBhn/S3z49iVlV7i3NrSafohJ46dMHGaacxrcPeVS58EOrd6lp76rebC\n4aKqo5wxNUMP3Q48wcweThrD8dTqta8DHgG8GfhPwErC4t8i9Q/8JgAz+3vA80lLyhw06OW0bJPW\nO1xki/Rv/qDpc8prm0v2r7cREbli9bx+w19xTlnGDiz223neL4T0e7EMQo4xN1WXpufgfcAKdRyd\nD4dQBnn0gz3mzqMagNJv67P3j/hc4CrN3KUaWILibKRzqSZW51ZCIg00I6PZCIRRSAFyZGkeycZg\nowTg+XM0BzrHWoc2TTPkredBQE43deI00rSWHzvN2Al7Md2sn9TbPQXGMtF3R98cvSgoqroo59z1\npJbSXwMeamZ/6u4vzIN4/zbwh+4ezew9V3rgo4bFJwNvN7NvJ/37eSrwQlLfvs844jGP43bgAWY2\nXtAUfSOpiXpZE3TZv2z7zgX7w+Imal7N+2eP78tFblIBUuSat6zesXBwSxXeujgbe0xHCkaeCo1p\n3xwYg+URvzm8hdxOmgqKw05+/fuUKmaZhhHS18PtIb1HGm9iuT08Fy5zpdDKQemDYgmBRq4KDi5G\nyKXKZhwIDYRxIIwDtmGwFdLKNJsBRiGFxmUTj7feL2e4G7HWafYiPom56TkQJ5Emh8duEtMo65Fh\nuzEl8vp6tOm+hMW6wliufXn7azEw3sI2t57HeomaoYd23f1fwqyP4g/m5z8KwN0v5a+vuFB+1AEu\nT8sn8xXAs4GvdPeX5+fuepRjHtObSG3x/xD47fKkmW0BDwRecxn7AzwYeNXgtc8GPgQsXBbnoUsL\nmiIiyUGNZSlzlX6LeRBJXpEkmOPBsM7xXLULnoJiHR4jqXl6rkm4fo9y3HLoHBDLIOjhPumYaZm8\nkNdeLv0dy1l7yKOX8we0PNQ7VANXoK8uzvpamhHGRjMO2NiwrQBbDWxaCopbATby18H6sJjKr+m+\nc9iLaUWbCw57HUwCNvW0lvZeJIwtDXKZOM2G0W0E2p0uVzn74dTpsA1da7OBLiUkljkYq8LsNemm\nQSHktXzwDM9GDjD7OyZXEEvXumaw3RW33x8aFnPg+uglL/8uqe37ejO7Bynn/zvmV3ZZhZ8Dvps0\nifZvV88/BrgAvKA8YWYfQ0rZ73b30mT+WuAvgG8ws/9Q0reZfRrw+cB/1rQ5InIUi5qdFyn9Fs3B\n3Ig5xoWY2oYjYPkxueJo1ajj0kxd3rNUANOx03CVWXURwGcT9PT9Kg1KKdI9NX97dayFwRJLzc+5\n/2EauU0/aXje3yw3P4cUFkOpIm4FuND095uWwuM479+E/k3L8oVdxC84TGKuLoYUHicRNlIAtb1U\nZfS9SJwYYRTnphxy73CPRDe6GOncaPMI6XoqnbKiS5l/8VqrKp5rdsWZ52p3NzP7WeDPgc8FXmxm\nF0hL+3Vmdh/gPRy8sstCl1NZ/DzgFVdwzJX/W3L3PzSznwYeZ2YvJrXX/13SRN2vcfcXVpv/KOnC\nPZQUEnH31syeSAqdrzOz5wJ3BW4G/hL4/pV9GBG5pniZKJu6mTj3N6RU+HKINEshkTzgxWzWVO1u\nqbqYlbkMZwGnbn6uwmOtVCr7iiKzmW/K+ezbIVcULfRBMYxDDoZls74vo43AxjkoXgiw2aT7iw1c\nbLDN3Bzd5I6So0FY7BxiSMF5y2Ea8Y2YwuJuhI0I05iOP43YhtHsBWwcCaOun48yr4PdxkgXU2Bs\nY2Dqtm+y7hIYh10IRM6Z7ySNJ3kYqUh2C/B04APAJ5NW3/sb0kp3V+RywuIHgV8HHsfhlXhjRau2\nLPAk4FbgscCXktaG/o/A9w22WzTQDXf/RTP7p6Tlcf49aWT0K4F/p6X+ROSoDgoVvuBxaW0NpOqi\nQV6DhCo05oqe5+bn8pxXlTzvjzebn9ttrtpY35dRy2n+xDxoxb0Ks6lZvD5powqYuSk6jEI/J2R+\nznKotHHoB69s5ubnrQDX5aC40aTnx7nf4ihvXzoKlmboEhrbCHnaHS+DYyYhVRjb0lQdYcMJGx02\nNrAuN6k3xGnHRud00Zl2zrhzNjpjQvrlWCqMXfms1f+na7Hv4rmjwuKcvKjIYwdP/0p5YGbfA3zC\noIB2WS4nLN4K/Li7v+tyDrjCVVvmuHsEnpFvB2339cDXL3nt5cDLT/7sRORaYUseL1L/1eqzEl5f\nVawLaqEMNrG+mThtnkNZCY70Qcbzgbw0OQ+DYnWe81XG1CQe8hJ8dZCdbZEHq8ymwslT39RT4cym\nwWlIoW+UK4Ubual5M1cULzTYRq4ojvNto0nVxRIWZxfM0wVpvT9uMGwUYJSrjCUwbhi0uYl6z7Cm\no4kwznMzdhNnPG2Zds4o5Ft0xrm6OFzbu/5/qqB4DqgZeiEzux9pvusx8Gp3/wMAd38jaaGRK3Zo\nWHT3DwL7ZgM/YPuzqiyKiJw79ZQ55es6eISF9cUqlPj+34klSJbX+v6EqSpYB79STZx7jvnXqUOm\nz2XW2YkMg6LRr1MdmmqFmVHqk2ijaoBKmbBxZP2I563qtpHD4bgKi+MGRoY1JZEaeEzzLLaxCqAx\nBdBpzKHRYOT4hqXFoicxvW8OnRah6ZxmzwnjyGhkjEKkCTbLpsH7gFgCo8g6MLMfAb6D6m9VM3uW\nu3/LcY57OQNcXgzcAfzssgWpRUTkcPX80jA/sKReCKX0SSyv1WZT3ZjPVQT7ya+t2nZwPzhGKdRZ\nGddcHTNS9YHM6dRKejJSqspvbHm96lAtS0iwFOjGecfSTDyqKogbqak5VQWtan7OA1yaAE1T2rJJ\nczqSKojTaW73tjx3UD63aUqE1ljqz1iqmSGPUZw4YcdoNozRZmA6NoLFNI7GfC4gDufGDKSmaVUV\nzwkVFueY2TeS5pz+TNKUgBeB+5EWUvkWd//pox77ciqLX2Fm9wceaWZPIa2f/LPu/vajvqmIyNVq\n0YjhoTqM1FXGstZyyUawf5GKehDLMHTC/kpkHRRLSIyDtFPvU5quy1rN5Q1KkIJ+EIyFvF3ITdHj\nPGVOyMFwbH1T8oj0eGz9UONxSM3PjVUHtf7rpoFmNN8xEk9h0Axv2xQUy4m1BsSc6jw1k3cO5mnQ\nUBvzeYW55QVno8Dr68zi/49lsIsCo5xDn+Lujxk8dwvwSjN7znEOfFnzLLr7O0kTcWNmn0sadfxJ\nwK8CL3T39x3nJERErhaHBcVh86bRr8YSAjTm6Wv6AFf3RVx4zL7It6/Jedn2y7Yp72tVHJqdq1Xz\nKDapn2AYh1k/xVlVcWypeblugi59FmeDW3JwLFXKMqCl3MxSEm0aGFW/qmJZ4iZXHqctHrp80jk4\ndrnaGFN1EWLfBL7VwLjDmvn+omUVF6dfyWU4SbecM+qzOLRw8ZDsWJNjXvGk3O7+euD1ZrYBfAnw\nE2Z2HfDzwC9VM4SLiAhV0zL7K1ZlKb1ZUAye50z0uWLbYQEQllcV9284//rS37nVeZSEO1vTucnz\nKZaqYg6Qsybmxvpb6btYmoTLc6F6fZZG8/uGQHoDmz/JJj8XHGKXmqbJ/TTd80mWUdtptDQxBVsf\nOWmB7XQNvMtT6LjRRSNGSwvD0AfFcrkWTqMhcr7ceMBrdzvOgY+63B/uPgFeArzEzD4K+CrgF8zs\ng8B/B16RRyiLiFwzFjVDLwqLqVpXKopOE6r7qtXVgDKZ4mxgy+CNDgqStmCb2QCWksMW7VMHVqvO\nKfR9FK2pBriMSlUxVwxHpQma+bBYqoxlpHTpsNl/2P5E6pnGa02TKozuqZk6OhYcH5WgmCuJhLRN\nV94jf+6Yc2ZMa0e30eg6aDtj6mkll7q6OAyLCoznhEYeDb3TzP4z8NPAe4HrgHsD30C/Ut2RHDks\n1tz9b4DnAM/JM4R/LfAdZvY2Uv/G3z2J9xEROe9scL/o9VlYLIW1kJqem+BpLur89Sw/kQJbzEml\n7n9Yv9ksxHgdaKx6X5/ta/t3z+/Th8S6+Xk2qfa+oMhs6pwUEOlHH48s/ZYpH7TJTdTltWCDNy/n\n77hHrGpy3tfWPlsoOzdVe+zb4EOqJvbVyioo5ql3vHNi67StM+0CbTRaN6akQSxl6b9yGwZEBcZz\nQM3Qc9z9p/L0hW9m/l/Wz7j7Tx3n2CcSFmvu/m7gh4EfNrNPJw2M+Xfu/lUn/V4iIufVoibn8vxs\ngEtVtWuaFBRHTQqKIVT9FvMcil4t0ddPmF3Npzh7k/y8le3qib3JSwnuP7dSyCutwmUE9OyWRzyn\nFVmMYP1cirOBLbOmZvrpbUpTc3VvpRm6BLn6ZPLUNXR5BLOV+2qj2dqFZeM6UJbjef912ScCXZpn\nMbZO7IyuM6adMYkpLA4D47C6KHJeufu35cEsX0z6F/gad3+LmX2zuz/rqMc9Ulg0s98kLYP3OuB1\ny0ZGu/tbgLcc9eRERNbd3PyE1eNAXU30lKny41Fukg5hsFNMwagU0WIdGH1+s9ngjVlw9L7wlg86\n7LNYVxUtD7SZDbbJIRGjH8xSVxXL9DhWhb8yoXYZHV33VSyJtG5qLpU/Nzw6VsJi9DRgpcmdJmcf\nNNf8uhzn+qVq+sez4zIfFLvUBN1F6KLR5qA4IYXFYb/FurqowHhOXMOFRTO7B/ApB2zy1nx/FzP7\nfODfAKsNi8B/Av458APA3879FH+bHB6B31V/RRG5lpV8sqiVtb63HBJDDonjxmkaz6OOc0jLU7yk\nZeryoIyYB3Xk+zgrtKW1pMvKLTFX3lIGKyHR57NUbtJuQmn69r7oZ3kEdDX59qxqZ2HWHD3fvEwa\n8Ryq50og3MzhsgRHqy5EmScoVwDdu9QfsWmYhUFygAy5nNnFPFilS48779Oypeszuzj5scccFlun\n7SzdYt8EXUJiPSK6/D8VOSceSFqS+HId69v3SGHR3V8MvBjAzB4APAT4fNL0OncF/trMngk83d27\n45ygiMg6Khmo/gld/wVdN++G3HI7HjmjkdNsBMK4qt5Vza+eU553ELtIbNPXsfM0ute9Co7M1oiO\nnsKmWS7IzYp5/fOG983QJTjmNnOr1r1LATb1V9zHvZ+ksQ6PgTTRdgj9h55r97b+YnVVhbBxPEbo\nDKsnoGxyhbHr8BISW+8DY7lhffKDWYWxBO7oYZYvSzWx3OScu7b7LH4QeBHwyMOKc5Z+gLzqOG92\n7D6L7v7HwB8DzzazTwT+LfAXwKOBh5jZl7p7e9z3ERFZJ5HFgzXnuucZs/6JTZOD4mZgtBFoNqr1\nlps6LELMAzS8s7nQGHPzaoipqTq6E3KFMVTt1HHQ6kt1TqUPZcjzPpZsZ2azamdpirYyIXf9ocZh\nfumTeo7F4ZQ6Tein0qk/IKSgZ5YCoKVBKx5yX8smJV4vs4vPwmJVWZzd5wbk0gxdtSXPio3R6LB9\nVcW6CVrknPkz4McvpxXX3d3MnnqcNztqn8V7Av8IeJO7316d0J+Y2Z+5+9Pzai/fBnw3cKyTFBFZ\nF8OmZ9hf2ILSlS9PxB1gFJxmbDSbxuhCYLRZVxfLcny5EtjFWSUxtk6cGrGF2KbQWPrkWYQyhNpz\nu3ikXx0vNT/vb50y8351ljItTkOqMDZW9aUcTH8T8uHKCiz1XIpNarKup87pm6Ktn6Hcyzkzn2Rn\n26SAnC9G2qFUEYdh0avXYn8rVcXU1G2zHFmPfK67Oco5dQ0XFt39I8DvXcH2rz7O+x21svgC4D7A\nJ5rZbwG/SD+HzwPziUXg35vZ/3OcExQRuVrMTcGSM1JTBrmMnGarYXyhSWFxq5lVF2f9AjPvQqos\nlmriNNBNYg6NPrt51/dt9Ai401gaPDLrApj7LwJzs9IQ8sjnqroZQn8uaRqd1CQ9N+K5Xju6jIYe\nVf0Um9DPuVhXGcvHq5NaKf2VsJgSdv8+sQqE7SAslnmGOmZT5cz6MpbgXPpuus2FxPqxnGPXdjP0\nSh01LL7e3R9mZp8K/N/A9wM3kAaRPRbAzL4UuCfw/pM4URGRdVPnnqG6sjgKzmjDaMaB0VZgfKGh\nudAQtgw2mz50OWky6+hY6zCNhKnje5FRF+j2It3UiRNPVcYuD4jJ95D7PMYy0IU+OFYnXZqVZ4Ns\nSlgcp36Ks0m4ZyGR+UohDEY925JqYrXv7ISoHntfZcxN0bMLOxu0Qq4exvn7WTBMoZo2wtRh2lde\n60HTw4riQUFxcT1W5Op11LD4u2b2vaQJt58EPCkP4564+515m88BvoPUFC0ics3wweNFAaTkpSY4\no8Zpxg2jrcDoQsPouga72MDFJi+fR+rvB3mEL7NmV5s4thtTcJw4o92YqoxtmFUX68EvPjuZ+dHU\n0Lf6lrcpo7GpVmlpxtavBz0O2EZII5/H1q/cMjLYzH0UR4aNQ1VRDPNrQdf9HWelzcHFG17M0thf\nHpdQWQ9u8b6pmWmESV99TFVG8Gh5xPjiJmgFwnNOK7iszFFHQ/+amb0J+ELg3fm5Dw62+V4ze6a7\n//XxT1NEZL0c1OcttdT2cyyGkaWguBUYXWyw6xq4Sw6LWw1sVINDSjWt9MubOuxF2IvYbsT2uhQe\nJ2kewbRSSawqjH1FjTwVTznZHMHm54YMpcJohBF9UNwM2NjSuW2EfMtBcSMHwXFVfRxVAbGExXrq\nnGDpc5UK4qyiSB8eZyOyS7N1HRjL58ghcdZnkRwUYx4tna5DjF6Ng7ErCogKkXKtOc7a0B8Afu6Q\nbRQUReSaNCyI1VWrOu80wWk2LI2CvtgQLga4roHrRikwbgZsq+mbcMuRS2CMjk8d9jrYjbDTYHsR\nJpFmN917G/C2n6OR6LP5rEszNMxXFssXs/6J1WCXMDLYyhXFEhRLJXErwIUmVRPrSuI49AFxFPq5\nF+tm6LzWDF3MZdf6NeabtGF/oAykdaDLB+roQ2JutvdpTFXWzoluxGiz/H1QYNRAl3NIfRZX5sSX\n+xMRkcQH9/UrBrOpaZo8VU7YzAHsYgPXj7C75GboJvR9A8v8gqWzXRexzuFig09jCozbHUxStZFp\nbqqeenqu6/v5zeZsLGFxNgp5cLqhmjZnnCuHY0vnOspBsQTHC03fJD2rKtafoQp7ZWDL3HrP3gfF\nekRQKBcsX4PSXO1Uq8DkNvqqmX428GUvXZu4F2n3It3E6bpB10fU/CyyiMKiiMiKlBBSBreUlVLM\ncvPuhsGFXJ3bKqEswEZVWczTx8yNSGlTtdDaCJsRrmvwSR+QKEFxWppi0z6WJ78uE3f308vQT4Nj\n1WjlslJLIA28KX0VN/p726grivnxsL/i3JrQlif6DimszoqM3m8D/YCY2cjp/HWMfShty/Fi+hyt\nw57DTpcC9F4kTvKtddoYiJ7mWFRIXEMqLK6MwqKIyCk6KICkCa89zV9Y+u3lyaut7tvXDILW3CTW\nwCiXx1qHcUzVxjz616exD4p1373W+36P5SQ7+jJbqVzOrfVM34Rcmp9H9P0Txzncls9RT6tTzr+E\nvhwULTczuw+uVBMGzczWf/7y8bsqXJZzLG3+nafPO8mfey8SL3W026myOJ1C11kaE0NfVYzVfT0/\nppxDaoZeGYVFEZFTNCvaUQ96sdk0gqk11fpRynUoqsNW3e8P5pfHKwcr4a+Ls1BoXd8U663DpJvN\nPTgLjJFUoStr3JXXaqWiF3JQLFXGMtq5DohpvcAqHNJXA4tqnWob/tIP1gfBuhxbX1SnD5NloEu5\nDmXgT5srq5c6/FKk3e5odzqmO5HJxJjmdaHLmtCXM7+iqo9yLVJYFBE5ZcMJn9PYFKOLaYDFbPm+\nNvc/HE4gPayqBUsBy3JIw3CPsz6Ms2lkyn1eM9lah67pK28xDfaYW/GkHmk97DNo9IHQSNXPuoJY\nz6tYBrOUpnNIB5uNZGYWBvdVFWeLW/e7za/qYv3zJXHna+bR+zkVdyNcavE7O9qPtEwvRSaXIpNd\nZ9I2TNvANKawWKqLiwKjAuL5pMLi6igsioisQB0WO6r5o6OlybQnkThxmp0IOx1+IaTgWELSMMWY\nQdPktmyw8uO8hEZ3ZiM4uq5fwWRWeUxh0UpYrALXXN/FWqkswv4+lFWQpQn9hNv7DpDfr7xWwjD0\nAbGEw+jz+86mzvF+mzKQZfbY+z6aO2mwT3dny/TOjsmllsl2x96esTc1Jq2xRx8WF821CAqLIgqL\nIiKnbFhVTDO6GG1MTaHdXke7G+l2I812l0ZD7+bBKuOQwlAAvDS3DpttmxzYSufHHNxizNXCiLlD\n26bn2g7vYn5chcQ29k3SdVirQ2MJhNVazQuX4xs2O0NfuayfDlWAnA1Ljn2ls1w48/59ylWN5Cpi\ndZvkpuedVFXs7uyYXuqYXOrY+0hkd8fYmQR2p4HdztgFJqRm6IMCo5xDKi2ujMKiiMgpqQcVmLAN\nJwAAIABJREFUl1tHCiatG20bmHaRydQYXeoYXexotgLNhRYuBHwr9INGSj9CMwhVE+0sqBmMRqna\naCHdQ3pXB2KXwqIFaKdY10LbparjZJr7LFaVulK5K30h6zJb6YtYflfXg06oBuAM+xnOZpmkD42x\nOvCs72QVXst57AufVZN5m/poegmKexG2W3w7Mt3p2LuzY3Jnx96Os7PXsDtp2GsDO6SwuAdL+y2q\nOfocU1ZcGYVFEZFTUGJRKcrNVRVJ4WQaYdIak2lgvBsZX+poNwNhK2BbXT93YVm9xSJlHT63iMWu\nn3exafJtBONxuq8DXDmrXFmkneTm6Cm22aYg2bZ421brK5d96Oc1LCGvDov1W0A/b2K5CKVZHOuP\ng1fzI5YKZtxf5Sx9L+ea4OmPn5uefdLBbpemybnUwZ0d7aXUT3F6KbK77WzvNbmqaFyKxg4pKNZV\nRfVbFNlPYVFEZEVKYOzDYgqKe40znsDozo5QVnO50KXq4oUGG3fVXIehr9KVpuLgKRyGBjY25oNj\nCOn5so/H3JdxC6ZTaKcwyfdtmyuO7az52kuTdN49vZ/lal8V9Jz++bqUOntfqgoh1Wjuav96sM3w\ntmgB6y4NDErzKcZZSORSR3epY7odUxP0TsfupGF3EtidBC7FwA7MhcVSVVQT9BoJKi2uisKiiMgK\nLKosTjDGnbE3DTSNE3YizXZktNUScoWRC12apHuj6qNn5P6JuU9iaXIejVKAG4+hybcwop/IEYht\n+skfpzBuU2Acl7CYm6pjap6ma7FYdVgsATHmOXb2jWKuwmWpJpYKYQmWs2bs4TG9miexqi7Wg26q\nBDc3YGc39ivXXOrSfIq7kel2R7sT2d1LfRT3WmM3BnaZD4qlz2L5pMuaoUWuVQqLIiKnqO63WIfF\nCSmsbMQ0KnfUBsYTZ2O7Y7QZGG11hEsdXOzwiw22GatJuVNwnLXoloWeIYVIyrQ6I7BccbTSXL2R\nqotxnAJjGEMzgdEYSlWx7fI2XVVVjPPVvdkkkZb2y+HQujYHu5iatC2kyp8PhlbPtfHmDzI3qKXq\nk1gqiLMBMFW1cZqrijkostPR7aSQ2O5GJjuRSTtibxrY6/qK4oT90+VEFA7XigqLK6OwKCJyyhb1\nW5ySwuIIY9QFRlNn3AQmuzENdrkQaLY7wnbui7cZ+sm5O0tVt8bmRjynx+Sg2DCrKFpIoRDoOx62\n/dcjUpN1O0n3oxIWve8fGGM/IKVUFiH3Mxzn7SPEUa5KdnkZwQ4PXd/sXFaMce+nz6n7NZb+kWU1\nmTz/5GzUdkl15bmypOFOh1/qiNsd09ktstcGJmWanGhzg1nqKXPqSqICo8g8hUURkVMyN76D+T6L\ngbx6HjD2VFlMgRHGu5HRdmS8nauLd3b4RuhXSimDSxrDQ4uVPopdl6uBOewR87tUA1wsgJeqI/2x\nYszN011qxi7hs+zned9Sbaznc4xd3j43YzdNat4uokMo4dOqCiXz21SVxDIKe9YncbZEIbl5mjRN\nzl6E3RwUL3VM7+xoL6Um6L09UljMk29PYHYbTsRd91es///JOaapc1ZGYVFE5JQMw2IZwxEYVhdh\n3KXAuDd1NvY6Rtsd00uBZrMlXEijoj3YbCBxPZm12ySt6BJCP6Al1CGRFO7CKPdzHMaikOYxDKP+\n+SakgTOz/UvQa/qgCDkoNnmUdZvev+2qimeHdZamhvTqWFANksmPyyjssrpMqR5OS1isvq77Ku7k\nimKeT3Gy3THZcfamuarYGRNP0+TUIbGsBz2sJiokrgllxZVRWBQROWElJNaPS2XR6CuL03w/BnbJ\n1cXGGU+c0Y4z+khHMw5sjtvZSGN30rJ9MTcNd01qqiXnrpBHS8cONjsYx1TVCw14m5qwZycaq1up\nRpaBKD74EGXuRAMb52pk18/72E77gTaWK5JlRHVdSezqvo/5P6WiOBvUEvtK4l7sJ9suz00iTDw1\nPe9Eut088nm7yyu1RHb30sChvWnDXhdmQXE4n+KwCVpE9lNYFBE5RaVqFejDIqTAYqTwspNfb6Ix\nmqbAONrpaJqOMErNxBvuWA5Nft0I7tJgF5oUpLZyk+00VfdsYxOmmzBtYWOSmpVH477/YrmVQSee\nRz+XZuoSFqHfJjTz96WJuoTI0MwHwdkFyP0M68pgmfanXKB6ecEcFH0v9s3MdWCc5MribkeXV71p\nSx/FS2ni7d1dSyu05BHQe/RNz2VOxWFVcTD8RtaBmqFXRmFRROQU1NXF4fPO3PASAn1z9Kgzmkkg\nmBOsA58SWye2kfFOZHRnB3fp4LoGvxjgLiPsLh1caGCrg70W35zA5g62sZPmXdzYyJN0Wz8HY8ij\nS0ofwjJ/4mzwic0qg7OmbUjN01bta9b3byyPZyE0B8Iu9svyDdeerteDzlPt+DT2I5wnVUjcy03O\nO5HYxrxEos8Fxb1JDoqTJs1hmZufy7J+dR/F8nj4/0dE5iksioisQJlCJw6eKxXGptzcCNMUxtJA\n5EjspsSpM70UGX8kMLowpdlqCNc1cJcGv34E1zdwtzG22cBWAxsNvjGBcR4YM8r9GMfjFP5KYLRQ\nDXSpqo3QD2qplxMs+4wGvz66sipMXgFmOoXJBJ+0MOlSUCyVxbKMXzX62fPI51RN9H5KnJ0ufb3X\nwW4k7kWmO5FuL9LupOX8pjuRyR7sTkJqem7T/W61Sku9/nOpKtb/H2QNqbC4MgqLIiKnZFhdHPZl\nHExgM3vN3GAaUgUyz8O4udcx3ugYbxijrcBoKzC+2DC6GGiua7DrRtj1U/yuo1RtvNjMlgr0cYBR\nHkm9ke/z19aM8tyNua9jqThC34exhMumyYGx6b8uykjo6bQKitMU8vYiTNpZv8PUXJ6bulvvg2MZ\n4VyC4m4365sYd1NAnO52dDvOdDfNpTjdjezlkDiZWgqKbR8US1WxrW5xcKv//4jIfgqLIiIrUveP\nq6uMZcDLHtUgYze6ScO0S0sCbo4jo4kzDpHxuEu3rY7RljG+0DC+OGV83Yhw1wa7rsHvMoILAbYa\nbMPS+tKjvNb0KIfFUcBH0zRf4yiHwmGfQyOFytCk6mTTwEZee3o07rfz2IfFrk1LCE66/rYX8d1c\nYdyt5k0sg1tKcCwDWKYOOxGfROJupM2VxHYnD2bZS9XEvWlqbp7klXAmnbHrfVBc1l9R0+RcBbTc\n38ooLIqInKJF1UXY3/Q5ZX4KlzK1zmYX2IzORhsYN86oiYwnzrhxNnYiG+PIeDOycdHYuK5jfKlh\ndKEhXJxiFxpsK+CbOSRu9fe2mSuPufpIyCFyLkHlqW2CpYm1xwEbhRQKN8bpvvR5LJNyT9tUVdzr\nctNxuvedDi61KSiWAStlLegyurtjFhh9GokTp9vr6PY8Ld+XV2aZ7DqTqbE7CUxaY9LmgSx5Kb89\n+pBYmp+HE3APp8uRNaSsuDIKiyIip2zY/FwsGlxRbvWygLtubDqMozFujXFwNhpn1AQ2p5GNqbM1\nibS7KUCOLkZGl/KSgZuBsBlSdXEjpJVgLjb4XRq4mEdUbzTQxLxmcz21Tj5bKyvH5CZtdyxGvJli\npdk6D3Lxupo4iel+NwfFj7SwnQesTGMu9TneOh7LiO40EXfXOnGaQmK3lwazTHcjkwmzZudSSdzr\njD23pSFx2dyKw/8fIrKYwqKIyApcTmAcPi7VxTEp/IxJq71sdJaqjR100ehiTFMudpGu7RhPIuOt\nhjb3bWw2As2GYWMjXGj6Sl4Ex9KyfOMAXoXF0o8Q8ihny83F+eXO0woyjaX93NPAlhISpzFVFPe6\nNKr5znzbSZVFn0Z86mmk9zSFRfcUHGPrdNP0fLeXmqCnE1KfxGkZxGJzo53rkFjPp1hC96KKooLi\nmtPUOSujsCgisiLDwFhP1g39hN3luUj6IV1XGksAim5pVT9PA1P64JOnromkANY5cRrppoHRRto2\nlNHPTQcjw0dgjaUDlyViZmHR0uounkNhWR967KnfYynVlWX6phGm3SwszoLipfTYt9NglZiDYjeJ\nxDafZ+dpysdper2beOoG2RrTNq/vPE3L9+3lvol7MJtwe8L8QJYSEhet1KKgKHL5FBZFRFaoDoxl\noEsdYox+8u4SHsu2w4BjpMVZrDNCMKYh5GJLCoyO5wVajNDlfRoI4wAbEdqQAl7rMPJ+0se6Y2WZ\nP3E28DnOh8PZeoZlgEoOi3sx9VO8s4M7UxO0X0p9Drvdjjhx2twvMbY+m0syttC1TtsZ0y7QdaRB\nPm1IgbFLfRNLSKynxanD9HDdZwXFq5AKiyujsCgicg7UI6SH8zG2pB/WpUpWXk/hyGgitJ3RGAQz\nglmaO3sv1yStwcxTMGucOI6EPetXRxnn/owxJ78yWXYkzX9ojsVcWewshcLGUrMzVi3Vl5qifZJH\nPH94msJiFRTbnS5Ppp2qh+1el6qMXfoMbTS6Lg1caaPRxVRVnHbGdBASSzVx2CexnnC7XEcFRZGj\nU1gUEVmxRdXF4et103TZtg6K9SokaQEWYxohdEawQMjrM5tBS5wdyEZgk9R/0cpyehshVQE36jeL\n/cFzK/RsfsYGrAnVh8gDVLpqIu2dmAa0XOqIlzra7Y52O41o7vacdi/STSNdS64gWg6LMG0D0y4F\nxbTwi7GHzfok7jE/wnk4JU5XXdv6Xq4y6rO4MgqLIiLnRKRq7a0M52Ysgajvx2iECMGcNhrWgZnN\n+h+OzelyeMTAgmGNMWq6/g0mAcYxnYBZPwim3Id8vDwnow9HTU+9n0NxL+Lbqc9it53mRWx38xyJ\neXRzN4VJF2i7vnrYxhwYO2MajakbU/pwWI9yrj//okricMLt8jHlKqKsuDIKiyIiZ2BYXSwVxOFE\n0fVUOmXbbnCbkPsuYpSMaGazroSOM4oxVf8gvVPud9h0jk0cytQ6I+snyi6TZJf5Fkt1sW4nz50s\nPS/l53sR34t0kzR4pduNs5VW2t3IdAptF/aFw9IE3eaQWILhcHTzbIAP8wFx2DdxGAwVFEWOTmFR\nROQcKOGxbpYeNkfXz5WqWsi3KYZFsK4Eo5CmonEnuufpdZzYdXkwSSBOAs1upNlI8zEystkc26lT\nZMS7/K4+OJFyPnk+7jKaOY28ztPeTFJonE6gnXhfNewC047U9FwCo/eVxGVT4AwrifX1iYOv6+sq\nVymt4LIyCosiImekri7WX9f3i6qLZZR0Gbzc92u0uXlioqc5GLsIXRfoojNqnVEbGe1G2g2j2QyE\ncaAZp5VaZtXNmKeyiWlENbCg859Xi7fkORJjXia6Iw1gqQJiF402Nz23ETovIXF+Au16GpxhFbWu\nItanNAyKCokiJ0dhUUTknBhO1l0HSavuFw1+6ZuwLYU3txQOmxQSp+Y0LYwap5l6ut+FpunyjdmA\nAfc0CtqjzZZt9qptt14+2svg6WjErmyfwmCMZXRzuo8RWjdaLLVwMz9/ZLnV1cS6iloH50VhcdF1\nlKuYBrisjMKiiMgZGrbu1kGnDoYMnodqDu2sNMV2GGNPc2530QgBmuBpfEqINAFCcJrgeYU/T10S\ny+ItOfA5NpsVh/xcOccSGJ0UAss+XdnXS+UwnU+676f8GVYM28Fr9UCeRX0Sy+dddj1F5OQoLIqI\nnAN1k3QdhkL1uOgG25XX64A1BUYYjcOog6YzAk4Iac7FkMNhIE2svWhJ6BhtNuViCYD1+UasD3De\nt4APA14dEuuvWbDt5YTE4fUYXgu5RqiyuDIKiyIi51gJRcOJup1+mp1I/8O8hKuGfl5Gy18H0kjn\ngM2eL/e1enm8OqwNp6NZ9FrdPNwxH/R8sD0L9l92LNgfGOtrIdcghcWVuarCopk9CrgZuD/wYeB/\nAN/l7u+/jH03gUcBXwZ8GvDRwF8AbwSe6u5/fFrnLSIC803S9eNlgbHsU1boK5XIEhIDJST2Fcp6\nAvBlv2rrgLco3DF4ftG25fyHg3SGfQ4P6oe4qKLIgq9F5HRdNWHRzG4Gfhx4DfAE4OOAbwU+x8w+\ny923DznETcCzgdcBzwFuB+4HfDPwz8zsYe7+mtM5exGR3nA09LK+i8MgVYJjCY3lZgtui45VLAqC\nw76Ci547qBJ4UDPycCTz0sHXKChKxYZrH8lpuSrCopndC/gh4E3AF7innjVm9mbgV4AnAj9yyGH+\nCnigu//B4NgvAN4K/HvgQSd86iIiCy3rw1gHxzqwBfYHxLqJufxaPSgsDgeOLAqK5fXLrRguOn79\nHovOQZVEkfPlqgiLwCOAC8BPlqAI4O4vM7N3AY/kkLDo7h8EPrjg+XeY2R8Bn3yypywicrBhYKyb\nnGG+Wbpuhj6omnhQLeawoLeomli/vqg6WB9j0f2y5xZ9LTJHk3KvzNUSFkvF7w0LXnsj8C/M7OJl\nNEXvY2YB+FjgL49xfiIiR1L3Xay/rudaLKGy7rt4lLC4aEqaYZAbvrYoRC4Km8uON3y86GsROVtX\nS1i8gfTz5bYFr91G+jl5A/CnRzj2NwEfAzz1yGcnInJMdT/GYhgKi0VBsZ6bEfaHz4Pe96C+hsOQ\nONxnWRBUQJRj02jolTlXYdHM7kYazXy5nunudwAXAdx9b8E2u/n+4hHO58HAM4D/Dfzwle4vInKS\nDmuWLq8PA+LwnurrywmL9X2xKDQOn1/0+rLji1wxDXBZmXMVFoG7A9/H/M/EZRx4PnAHsA1p+psF\ngXEr319RE7SZfQbwcuDPgS9198mV7C8ichqGzdKLJu4+aDDLUX69Lgt7ywLj5ezLAc+LyPlyrsKi\nu9/K0X6W3U76mXgj8K7BazeSfqbdfrkHM7NPB36TFEQf6u5/sWzbV9NP4XhfLnLTlRcwRUSuWP0X\n9TAk1utK14Fs0TyNV2LZvosC4UHvo5C4Xm5hm1uvrN6yGmqGXplzFRaP4U3AY4AHsz8sfjbwzssd\n3JKD4iuBD5GC4nsP2v6h3OvKz1ZE5AQMm2Dq0DgMcMvmaqxdSZg8qGKooHh1uWlQCHnt/olD5Cp3\ntTT4vxTYAR6XRy8DYGYPJ022/YJ6YzO7p5k9wMzuOnj+H5Aqih8mBcV3n/qZi4gcw7Lm4WVzIC5a\nb7k87pbst+gYB7227DwVFOVEBTv5myx0VVQW3f39ZvZk4MeAV5rZi0jNz98GvAP4icEujyf1jfx6\n4HkAZnYfUlD8KOCZwOeZ2ecN9vulo0y/IyJymhZ18j4smA0Ht1xukKtHZV/OPgqIIuvvqgiLAO7+\nDDP7AGk09TNJzcgvAr5zQcBbtFDATcA98nM/sOgtgP8JvOdkz1xE5PiGTc4HvX4S73PQ8RQQZSU0\nGnplrpqwCODuzyNXCg/Z7inAUwbPvYarp1leRK5hlzudxHGOf9LHFLliGuCyMldVWBQRkWQY3OqV\nXk7j+CJy9VJYFBG5BhzUfDycZscGj8trlzOJt8jKqLK4MgqLIiLXuIOW3jvKIBgRubooLIqIiMj6\n0QCXldGVFhEREZGlVFkUERGR9aNJtFdGYVFERETWjwa4rIyaoUVERERkKVUWRUREZP1ogMvK6EqL\niIiIyFKqLIqIiMj6UZ/FlVFlUURERESWUmVRRERE1o+mzlkZhUURERFZPxrgsjK60iIiIiKylCqL\nIiIisn40wGVlVFkUERERkaVUWRQREZH1o8riyqiyKCIiIiJLqbIoIiIi60eVxZVRWBQREZH1E9Q4\nuiq60iIiIiKylCqLIiIisn7UDL0yqiyKiIiIyFKqLIqIiMj6UWVxZRQWRUREZP1obeiV0ZUWERER\nkaVUWRQREZH1E9QMvSqqLIqIiIjIUqosioiIyPrRAJeVUWVRRERERJZSZVFERETWj0ZDr4zCooiI\niKwfNUOvjGK5iIiIiCylyqKIiIisH1UWV0aVRRERERFZSpVFERERWT9B9a5V0ZUWERERkaVUWRQR\nEZE1pD6Lq6KwKCIiIutHA1xWRs3QIiIiIrKUKosiIiKyfrSCy8roSouIiIjIUqosioiIyBpSn8VV\nUWVRRERERJZSZVFERETWj0ZDr4zCooiIiKwfDXBZGV1pEREREVlKlUURERFZQ2qGXhVVFkVERERk\nKVUWRUREZP1ogMvKqLIoIiIiIkupsigiIiJrSPWuVVFYFBERkfWjZuiVUSwXERERkaWumrBoZo8y\ns7ea2baZvc/MnmNm9zrG8Z5uZtHMPnKS5ykiIiInwOzkb7LQVREWzexm4L8BdwBPAJ4N/AvgNWZ2\n8QjHeyDwrcCdgJ/cmYqIiIisl7Xvs5irhz8EvAn4Anf3/PybgV8Bngj8yBUcrwGeA7wcuBvwmSd9\nziIiInJcqgSuytVQWXwEcAH4yRIUAdz9ZcC7gEde4fGeADwAeDzpO1GVRREREblmXQ1h8UH5/g0L\nXnsj8IDLbYo2s/sAPwg8xd3fe0LnJyIiIifNwsnfZKG1b4YGbiBV/25b8NptpOrgDcCfXsaxnpW3\ne8aJnZ2IiIicPA1IWZlzExbN7G7AzVewyzPd/Q7gIoC77y3YZjffH1pZNLOvAb4Y+Fx3j1dwHiIi\nIiJXrXMTFoG7A99HqhIe9ueCA88njX7eBjCzzQWBcSvfbx90MDO7B/ATwHPd/Xeu8LxFRERk5VRZ\nXJVzExbd/VaO1ofydtJ3zI2kAS21G4GYtznI95Oqj881s0+onr8ABDO7HzBZ1I/x1bx/9vi+XOSm\nw4uYIiIia+MWtrn14JqLXOXOTVg8hjcBjwEezP6w+NnAO939sO/yewPXkQbELPInwB8Cnzp84aEc\ned5vERGRc++mQSHktXzwDM+mogEpK3M1hMWXAv8ReJyZvbD0NzSzhwM3Ad9bb2xm9wT+FnC7u384\nP/104GcHxzXgKcDHk6bf+dCpfQIRERGRc2rtw6K7v9/Mngz8GPBKM3sRqfn524B3kPoi1h5P6hv5\n9cDz8jEW9lM0s8cD93H3Xzql0xcREZEjMI2GXpm1D4sA7v4MM/sAaTT1M0lVwBcB37mgCdqr26GH\nvsztREREZKUUFlflqgiLAO7+PHKl8JDtnkJqXr6cYz70uOclIiIiss6umrAoIiIi1xANcFkZXWkR\nERERWUqVRREREVlD6rO4KqosioiIiMhSqiyKiIjI+tHUOSujsCgiIiLrRwNcVkZXWkRERESWUmVR\nRERE1pCaoVdFlUURERERWUqVRREREVk/GuCyMqosioiIiMhSqiyKiIjI+tFo6JVRWBQREZE1pGbo\nVVEsFxEREZGlVFkUERGR9aMBLiujyqKIiIiILKXKooiIiKwh1btWRVdaRERERJZSZVFERETWj/os\nrozCooiIiKwfhcWVUTO0iIiIiCylyqKIiIisIdW7VkVXWkRERESWUmVRRERE1o/6LK6MwqKIiIis\nIYXFVVEztIiIiIgspcqiiIiIrB9TvWtVdKVFREREZClVFkVERGT9aIDLyqiyKCIiIiJLqbIoIiIi\na0iVxVVRWBQREZH1owEuK6MrLSIiIiJLqbIoIiIia0jN0KuiyqKIiIiILKXKooiIiKwfTZ2zMqos\nioiIiMhSqiyKiIjIGlK9a1UUFkVERGT9qBl6ZRTLRURERGQpVRZFRERk/WhS7pXRlRYRERGRpVRZ\nFBERkTWkPourosqiiIiIiCylyqKIiIisH42GXhmFRREREVlDahxdFV1pEREREVlKlUURERFZP2qG\nXhlVFkVERERkKVUWRUREZA2p3rUqutIiIiIispQqiyIiIrJ+1GdxZRQWRUREZP0oLK6MmqFFRERE\nZClVFkVERGQNqd61KlfNlTazR5nZW81s28zeZ2bPMbN7HeE4X2dmrzezD5nZR8zsbWb2vadxziIi\nIiLn3VVRWTSzm4EfB14DPAH4OOBbgc8xs89y9+3LPM5/AR4F/CLwfCACHw/c+xROW0RERI5KfRZX\nZu3DYq4e/hDwJuAL3N3z828GfgV4IvAjl3Gcfw38K+Dr3P0Fp3bCIiIiImvkamiGfgRwAfjJEhQB\n3P1lwLuARx52ADMz4LuA3ytB0cyuz8+LiIjIuWOncJNFroaw+KB8/4YFr70ReICZXTzkGPcnNTe/\nwcyebGYfAD4E3GFmzzKz607udEVEROTYLJz8TRZa+2Zo4AbAgdsWvHYb6U+FG4A/PeAY98/3Xw1s\nAD8I3AI8HPjG/Po/PqHzFREREVkb5yYsmtndgJuvYJdnuvsdwEUAd99bsM1uvj+ssnh9vr8X8EXu\n/qr89S/npuhHm9nD3P3Xr+D8RERE5NSo2XhVzk1YBO4OfB+pSnjYd4CTRivfAWwDmNnmgsC4le8P\nGw29k+9vq4Ji8Tzg0cBDAIVFERERuaacm7Do7rdytD6Ut5PC5Y2kAS21G0nT39x+yDHem+/ft+C1\n8tzdF+34at4/e3xfLnLToUVMERGR9XEL29x6aM3lDKiP4cqcm7B4DG8CHgM8mP1h8bOBd17GPItv\nA/ZI4XLo7+T7v1q040O54nm/RURE1sZNg0LIa/ngGZ6NnIWrIZa/lNSM/Diz/s8MM3s4cBMwN2ei\nmd3TzB5gZnctz7n7Dmki7o81s0cMjv/N+f5XT+PkRURE5Cg0dc6qrH1YdPf3A08GPgt4pZk91sye\nAvx/wDuAnxjs8njg7cCXD57/buAvgRea2dPN7N+Y2cvyds9z9985zc8hIiIiV8Ds5G+y0NXQDI27\nPyPPjXgz8EzSHIkvAr5zQRO0V7f6GO81s88GngZ8PXA30nQ73+bu/+GUP4KIiIjIuWTVoidyhczM\nf4BPOuvTEBERWZkf4P/g7mdahjMz9/a3T/64o8878892Hq19M7SIiIiInJ6rohlaRERErjUqAK6K\nKosiIiIispQqiyIiIrJ+NHp5ZRQWRUREZA2pcXRVdKVFREREZClVFkVERGT9qBl6ZVRZPGO3nMfF\n2c+Yrsl+uibzdD320zXZT9dknq6HHJXC4hm7Vf9499E12U/XZJ6ux366Jvvpmsy7+q5NfwoNAAAN\nBklEQVRHOIWbLKIrIyIiIiJLqc+iiIiIrB/1WVwZrQ19DGamiyciItecs14/+TR//571ZzuPFBZF\nREREZCn1WRQRERGRpRQWRURERGQphUURERERWUphccXM7FFm9lYz2zaz95nZc8zsXkc4zteZ2evN\n7ENm9hEze5uZfe9pnPNpO6lrUh3v6WYWzewjJ3meq3Sca2Jmm2b2GDN7qZndmo/xZ2b2QjN7wGmf\n+1GYWTCzm83sj81sx8zeY2Y/ZmYXr+AYX2Jm/8vM7jSzD5jZz5vZfU/vrE/Xca6JmX2UmT3RzF6R\n99vOx3m2mf2dVZz/STuJ75HB8X4u/5x420mf66qc0L+bkZk9wczekv/t/I2Z/Z6ZPfY0z13Wiwa4\nrJCZ3Qz8OPAa4IXAxwHfCrwb+Cx3v6wZU83svwCPAn4ReDUQgY8H7unua/UP/KSuSXW8BwJvBnYA\n3P2uJ3m+q3Dca5ID4duB1wGvAG4H7gd8M3Ad8DB3f80pnf6RmNkzgccDvwT8GvD38tevA77QD/lB\nZWb/jPTv4a3Ac4CPAp4EdMBnuvtfnN7Zn47jXBMzexjwP4BXAq8C3g/8feAbgQnwYHd/x6l+gBN2\n3O+RwbG+DHgJsAf8mbt/6smf8ek7gX83G8CvAJ8P/Hfgd0hT6n0SsO3ua1mAkFPg7rqt4AbcC7hE\n+sdo1fNfRgp733WZx/nXefuvPevPdF6uSbVfQwqKLyGF6I+c9Wc8i2sC3AP41AXP/11gF3jzWX/O\nwXl9cv5svzB4/nH5+a85ZP8xcBtwC3Cxev7TgBZ49ll/xjO4JvcBblrw/BcsOu55vx33egz2uQvw\nHuAn8vfMH5z15zurawL8IDAFHnLWn0e3831TM/TqPAK4APyku8/+2nP3lwHvAh552AHMzIDvAn7P\n3V+Qn7s+P7+Ojn1NBp4APID0l7UB61g2P/Y1cfcPuvsfLHj+HcAfkX7JnCdfk+9/YvD8c4BtDv/M\nDwE+FniuV1VXd/99UnX2q82sOZlTXZljXRN3f7e737Lg+d8C7uD8fQ8c5rjfI7WnkX4+PDnfr6tj\nXRMzuw54IvASd3+tJdef/GnK1UBhcXUelO/fsOC1NwIPuIx+JvcnNTe/wcyebGYfAD4E3GFmz8r/\n+NfJSVwTAMzsPqS/kp/i7u89ofM7Cyd2TYbMLJBC1V8e8dxOy4NIzcVvqp909z3g9+mvyUH7w/Jr\ndldSs9o6Oe41WcjM7gZcz/n7HjjMiVwPM/ss4FuAm919bfs0Z8e9Jv+IVGV9S27O/jDwITP7KzN7\n2hr+gSWnSGFxdW4gVbpuW/DabaS/cG845Bj3z/dfTerD9jTgK0j9Vb6R1EdpnZzENSmeBfwp8IyT\nObUzc5LXZOibgI8BnnfE/U/LDcD73X264LXbgHuZ2UFLk95Qbbtof4Abj3F+Z+G412SZ7yH1STtv\n3wOHOfb1yK8/F/gNd//FUzjHVTvuNSm/T54EfDnw7cA/B/4XqQXrP5/gucqa09rQVyj/ZX7zFezy\nTHe/A7gIs7/6hnbz/WEVo9JEcC/gi9z9VfnrX85N0Y82s4e5+69fwfkd2xlfE8zsa4AvBj7X3eMV\nnMepOetrsuB8HkwK0v8b+OEr3f+UXSQNNFik/swfPmB/lhzjyNfsjB33muxjZl9JCgS/5u7/7Vhn\nt3oncT3+LWmg1z89wfM6S8e9JuX3yd2BT3b3P8lf/6KZvQp4lJn9qLv/8Ymcraw1hcUrd3fg+0jV\nn8P6uzjwfFIfoW1I05osCAJb+f6wkb87+f62KigWzwMeTeq/tdKwyBleEzO7B6nPznPd/Xeu8LxP\n01l+n8wxs88AXg78OfCl7j65kv1XYJv0B9AiW6Trc9BnLq9tLtm/3mZdHPeazDGzLwFeQBoA9tXH\nPrvVO9b1MLNPIPVR/EF3v/XEz+5sHPd7pPw++Z0qKBbPJ42QfgigsCgKi1cq/6A5SvP97aTQcCNp\noELtRtLotdsPOUbpi/e+Ba+V5+5+hHM7ljO+Jt9P+uv5ufkXQnEBCGZ2P2Cy6n6MZ3xNZszs04Hf\nJAXRh/r5nELmdlJfzPGCJrUbSU1t7SH7l23fuWB/WNxEfZ4d95rM5Gl0fgl4G/BP3P3Okz3VlTju\n9fhx4IPASwY/J0bAZv45sX1O/30sc9xrci5/n8j5pD6Lq1M6IT94wWufDbzTD59T8G2kZodF/a/K\nRLt/dbTTOxMncU3uTZo78I3A/6luDyKFyD8hVdXWxUlcE2AWFF9JGgT10HM88OdNpGmP/mH9pJlt\nAQ8Efvcy9ofl1+xDpO+JdXLca1K2fxhpKqm3k+bd+9AJn+eqHPd63JvUx++PmP85cQPwiaSfE88+\n2VM+dSf172bRJO3r+PtETpHC4uq8lFT2f1welQqAmT0cuInURET1/D3N7AFmNptU2t13SBMPf6yZ\nPWJw/G/O9796Gid/So59TYCnA185uH0V6Zfjbv76SvoOnrWTuCaY2T8gVRQ/TAqK7z71Mz+6nyM1\nmT1p8PxjSBXi2Wc2s4/Jn/dCtd1rgb8AvqGeEcDMPo3UlPYL7t6d0rmfluNeE8zsnwC/DLwD+AJ3\n/5vTPeVTddzr8e0s/jnx16Q5F78S+JFTO/vTcaxrkls/Xg/8w/zzomzb5GNMSZP6i2hS7lXeSCOY\nI2lFhccCTwHuJP21e3Gw7Q/kbR89eP7jSL8Yt0lB6d8AL8vb/tez/oxncU2WHPc1rOGk3CdxTUgT\nMr+fNK3G95HmWxveLq7q81zmZ/6P+XO8GPgGUrPhBHjVYLv/lrd7yOD5r8yf9y3538R3kqaHuR34\n2LP+fKu+JsBnkv7o2CHNpbfve+CsP9+qv0eWHPNW1nRS7pO4JqQK5EeAD5C69Dwe+O287fef9efT\n7fzczvwErrUbaRDK/84/xN9HmsrhXgu2+/78y+9RC167D2lppr8iNUv/EWnesDP/fGd1TRZs+2rg\nw2f92c7impCqaTE/HxfcOuDeZ/0ZB58jkELyH5Mqwu8Ffoz94fi/5vP/vxYc40tJcy1eIvVP+3kW\nrGKyLrfjXJP8/XPg98BZf76z+B5ZcMy1XcHlpK4JaRnIl5L6Ne8Av3c5P2N1u7ZuWhtaRERERJZS\nn0URERERWUphUURERESWUlgUERERkaUUFkVERERkKYVFEREREVlKYVFEREREllJYFBEREZGlFBZF\nREREZCmFRRERERFZSmFRRERERJZSWBSRc8vMXpzv72Fmn25mX2hmW2d9XiIi1xKFRRE5l8zs/sAd\n+ct/APwQ8Argo8/spERErkGjsz4BEZElHgn8LIC7/5aZ3QL86dmekojItUeVRRE5r/6Ru7+2+jqe\n2ZmIiFzDFBZF5Nwxs88F3nDW5yEiImqGFpFTZmaPBe4FPAB4PnAfUr/Dvw98h7v/+YLdvhb4qUOO\n+z3ADwJ/DTwXeBvw3cDHA/8a+BSgAR4IvMzd/9/B/v8K+CLgFlLV8g53/w9H+pAiIlcxhUUROTVm\n9hjgre7+ZjN7EPCbwL8C3gM8DXge8OeDfTaAT3L3tx9y+LcDPwM8yd13876/D/wR8NHu/uT83EcB\nf2Bm93L3p+bn/i0pkH6mu7dm9nXA88zsNy7jfUVErilqhhaR03RPd39zfnwfILr7S4DfBh7i7r+x\nYJ8vAX71gGOamX0FcD93/6YSFLOdfP/S8oS7/w3wLOB7zOyeZnYP4KnAs929zZv9T+C70AAaEZF9\nFBZF5NS4+49WX34+8Nr8/I67v27Jbv8CeOEBh30M8GzAruBU3gCMgc/Lt03g/1Tn+W53f7q7T67g\nmCIi1wSFRRFZlS8AXnPQBrnJ+Dp3f98Bm/0h8GjgqWb29y7zvTfyfUf/c293ybYiIlJRWBSRU2Fm\njZl9kZkFM7sBuD+5sphf//YFu30V8POHHPoV7v5yUvXx+WbWLHr7wdcPJjVRv55UZZySBr7U53vB\nzD7lkPcWEbnmKCyKyGn5RuA3gE8EvhrYJg9mMbOHkwaoDH058EtLjlcCYPm5dTNwb1L/w6F/OdvJ\n7OOAbwK+293vcPe/JA2ueaKZXV/t8y35HEVEpGLuftbnICJXITP7NODbgT8Bfh+4HvjHwK3An7n7\nCwbb3wd4mrs/csGxvhr4NuAzgDcCTwc+DPwP4ALwSuCxpED5LlLw+2hSBfEzgBe5+y8MjvkNwCNI\no6enwG+5+6tP4KOLiFxVFBZF5Fwws+8G3uLuv36MY9yXFBbv6+7vOaFTExG5pqkZWkTOiy8EXnHM\nYwybqkVE5Jj0A1VEzpyZfTrwNv//27tjGwYBGIqC9iAZjKUYIxK7sJNpaCh+E0UCibsJXD7ZhWd+\n/v98nqq3qpqq2rp7+dd8AG/mDA3crrvXqvrOzH73LABc2SwCT/ARigDPZLMIAEBkswgAQCQWAQCI\nxCIAAJFYBAAgEosAAERiEQCASCwCABCJRQAAogOcOZ48ZOwWlQAAAABJRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x132d65a10>"
       ]
      }
     ],
     "prompt_number": 229
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "min(impData.g['pgf']),max(impData.g['pgf'][impData.g['pgf'] < 1.0])"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 242,
       "text": [
        "(0.98679183225990519, 0.99999989411968548)"
       ]
      }
     ],
     "prompt_number": 242
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "# 'invert' the pgf ... makes for better plotting.\n",
      "impData.g['oneMpgf'] = 1.0 - impData.g['pgf']"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 230
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "max(impData.g['oneMpgf']),min(impData.g['oneMpgf'][impData.g['oneMpgf'] > 0.0])"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 244,
       "text": [
        "(0.013208167740094812, 1.0588031451597146e-07)"
       ]
      }
     ],
     "prompt_number": 244
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "with pynbody.transformation.translate(impData,coords):\n",
      "    titleStr = \"1-PGF @ z = %.1lf\" % z + \"\\nVol ave @ %s\" % str(coords)\n",
      "    sph.image(impData.g,qty=\"oneMpgf\",width=\"1 kpc\",cmap=\"YlOrRd\", denoise=True ,av_z=True, log=True, vmin=1e-7,\n",
      "              approximate_fast=False,title=titleStr); #vmin=0.006, vmax=1.0,"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stderr",
       "text": [
        "INFO:pynbody.sph:Rendering image on 64 threads...\n"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stderr",
       "text": [
        "INFO:pynbody.sph:Rendering image on 64 threads...\n"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stderr",
       "text": [
        "INFO:pynbody.sph:Rendering image on 64 threads...\n"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stderr",
       "text": [
        "INFO:pynbody.sph:Rendering image on 64 threads...\n"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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7OfArwDM2/UJ2EYlHIYQQQoiNeR5wKvA54NusX8jyYsLUxxcCTwLeDDwFeLeZ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EAAAg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\nAAAASUVORK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0x17ffb2d90>"
       ]
      }
     ],
     "prompt_number": 245
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "test = impData.g['pgf'] + impData.g['oneMpgf']"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 233
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "# If everything is correct, should be equal lens\n",
      "len(impData.g['pgf']), len(test[test == 1.0])"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 238,
       "text": [
        "(69137, 69137)"
       ]
      }
     ],
     "prompt_number": 238
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "with pynbody.transformation.translate(impData,coords):\n",
      "    titleStr = \"1-PGF @ z = %.1lf\" % z + \"\\nVol ave @ %s\" % str(coords)\n",
      "    sph.image(impData.g,qty=\"oneMpgf\",width=\"1 kpc\",cmap=\"YlOrRd\", denoise=True ,av_z=True, log=False, \n",
      "              approximate_fast=False,title=titleStr); #vmin=0.006, vmax=1.0,"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stderr",
       "text": [
        "INFO:pynbody.sph:Rendering image on 64 threads...\n"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stderr",
       "text": [
        "INFO:pynbody.sph:Rendering image on 64 threads...\n"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stderr",
       "text": [
        "INFO:pynbody.sph:Rendering image on 64 threads...\n"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stderr",
       "text": [
        "INFO:pynbody.sph:Rendering image on 64 threads...\n"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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2eu5cDT0HeCjw7Ih43yrfuwqwTQN8qm1fWOXz6ZqejH3jPBm7mZntayZlMvbT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\nSZKkzhlkSpIkqXMGmZIkSerc/weytBZLzRf2CAAAAABJRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x10ac448d0>"
       ]
      }
     ],
     "prompt_number": 246
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "diff = impData.g['oneMpgf'] - 12.45144 * impData.g['metal']"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 247
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "len(diff[diff<0.0]),len(diff)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 248,
       "text": [
        "(420, 69137)"
       ]
      }
     ],
     "prompt_number": 248
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [],
     "language": "python",
     "metadata": {},
     "outputs": []
    },
    {
     "cell_type": "heading",
     "level": 1,
     "metadata": {},
     "source": [
      "Next"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "s2 = pynbody.load('output_00009')\n",
      "s2['pos']\n",
      "s2['pos'] -= 0.5\n",
      "s2.physical_units();"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "ename": "IOError",
       "evalue": "File 'output_00009': format not understood or does not exist",
       "output_type": "pyerr",
       "traceback": [
        "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m\n\u001b[0;31mIOError\u001b[0m                                   Traceback (most recent call last)",
        "\u001b[0;32m<ipython-input-31-143e5d55591f>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m()\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0ms2\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mpynbody\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mload\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m'output_00009'\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m      2\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m'pos'\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      3\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m'pos'\u001b[0m\u001b[0;34m]\u001b[0m \u001b[0;34m-=\u001b[0m \u001b[0;36m0.5\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      4\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mphysical_units\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m;\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
        "\u001b[0;32m/usr/local/Canopy_64bit/User/lib/python2.7/site-packages/pynbody/__init__.pyc\u001b[0m in \u001b[0;36mload\u001b[0;34m(filename, *args, **kwargs)\u001b[0m\n\u001b[1;32m    170\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    171\u001b[0m     raise IOError(\n\u001b[0;32m--> 172\u001b[0;31m         \"File %r: format not understood or does not exist\" % filename)\n\u001b[0m\u001b[1;32m    173\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    174\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n",
        "\u001b[0;31mIOError\u001b[0m: File 'output_00009': format not understood or does not exist"
       ]
      }
     ],
     "prompt_number": 31
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "z2 = 1/s2.properties['a']-1\n",
      "printboxsizestring2 = \"%.2f\" % s2.properties['boxsize'].in_units('kpc')\n",
      "boxsizestring2 += \" kpc\"\n",
      "print boxsizestring"
     ],
     "language": "python",
     "metadata": {},
     "outputs": []
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "s2.g['metal'][s2.g['metal']<1e-7] = 0.0\n",
      "s2.g['pzf'][s2.g['pzf']<1e-7] = 0.0\n",
      "s2.s['ppf'][s2.s['ppf']>1.0] = 1.0"
     ],
     "language": "python",
     "metadata": {},
     "outputs": []
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "plt.loglog(s2.g['metal'],1.0-s2.g['pgf']+1e-6,'.',linex,linex,linex,liney)\n",
      "plt.title(\"Z vs (1-Pf) z=%.1f\"%z)\n",
      "plt.grid(True, which=\"both\")\n",
      "axes().set_xlabel(\"log Z\")\n",
      "axes().set_ylabel(\"log 1-P\")\n",
      "plt.ylim(1e-7, 1)\n",
      "plt.xlim(1e-7, 1)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": []
    }
   ],
   "metadata": {}
  }
 ]
}