Skip to content

Instantly share code, notes, and snippets.

@andreavitaletti
Last active December 16, 2015 11:59
Show Gist options
  • Star 0 You must be signed in to star a gist
  • Fork 0 You must be signed in to fork a gist
  • Save andreavitaletti/5431164 to your computer and use it in GitHub Desktop.
Save andreavitaletti/5431164 to your computer and use it in GitHub Desktop.
Report on flame experiment
{
"metadata": {
"name": "Experiment-Copy1-Copy0"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": "Report on the experiment on the signal generated when a gentle flame is applied to the leaf of a tomato plant"
},
{
"cell_type": "code",
"collapsed": false,
"input": "from IPython.core.display import Image\nImage(filename='./flame/flame.jpg')",
"language": "python",
"metadata": {},
"outputs": [
{
"jpeg": "/9j/4AAQSkZJRgABAQAAAQABAAD//gA7Q1JFQVRPUjogZ2QtanBlZyB2MS4wICh1c2luZyBJSkcg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\n",
"output_type": "pyout",
"prompt_number": 46,
"text": "<IPython.core.display.Image at 0xa83a490>"
}
],
"prompt_number": 46
},
{
"cell_type": "code",
"collapsed": false,
"input": "from numpy import *\nfrom scipy import signal\nfrom scipy.signal import filter_design as fd\nfrom matplotlib import pyplot as plt\nimport scipy\nimport scipy.fftpack",
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 47
},
{
"cell_type": "code",
"collapsed": false,
"input": "from nptdms import TdmsFile\ntdms_file_EL1_ref = TdmsFile(\"./flame/data/experimentLS.tdms\")\ntdms_file_EL2_ref = TdmsFile(\"./flame/data/experimentPS.tdms\")\n'''\ngruppi = tdms_file_EL2_ref.groups()\nprint gruppi\nchannels = tdms_file_EL2_ref.group_channels('Untitled')\nprint channels\n'''\nchannel1 = tdms_file_EL1_ref.object('Readings', 'Voltage_0')\ndata1 = channel1.data\ntime1 = channel1.time_track()\nchannel2 = tdms_file_EL2_ref.object('Untitled', 'Voltage_1')\ndata2 = channel2.data\ntime2 = channel2.time_track()\n# do stuff with data\n#sample_per_sec = 1000\nfigsize(20,5)\nfigure(1)\nplot(time1,data1)\nfigure(2)\nplot(time2,data2)",
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "pyout",
"prompt_number": 40,
"text": "[<matplotlib.lines.Line2D at 0x319fdf90>]"
},
{
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAABJcAAAE1CAYAAABa5QGqAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nQmCC\n"
},
{
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAABJcAAAE1CAYAAABa5QGqAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAAAAbPv/nfuxXOs5KFYAAAAASUVORK5CYII=\n"
}
],
"prompt_number": 40
},
{
"cell_type": "code",
"collapsed": false,
"input": "from scipy.signal import lfilter, firwin\n#------------------------------------------------\n# Create a FIR filter and apply it to signal.\n#------------------------------------------------\n# The Nyquist rate of the signal.\nsample_rate = 1000.\nnyq_rate = sample_rate / 2.\n \n# The cutoff frequency of the filter: 6KHz = 6000.0\ncutoff_hz = 0.2\n#cutoff_hz = 0.003\n \n# Length of the filter (number of coefficients, i.e. the filter order + 1)\nnumtaps = 29\n \n# Use firwin to create a lowpass FIR filter\nfir_coeff = firwin(numtaps, cutoff_hz/nyq_rate)\n \n# Use lfilter to filter the signal with the FIR filter\nfiltered_data1 = lfilter(fir_coeff, 1.0, data1)\nfiltered_data2 = lfilter(fir_coeff, 1.0, data2)",
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 41
},
{
"cell_type": "code",
"collapsed": false,
"input": "figsize(20,5)\nfigure(1)\nplot(time1,filtered_data1)\nfigure(2)\nplot(time2,filtered_data2)",
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "pyout",
"prompt_number": 42,
"text": "[<matplotlib.lines.Line2D at 0x42725b90>]"
},
{
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAABJcAAAE1CAYAAABa5QGqAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzs3Xd8FVX+//H3pQiKBXEllIAgXUFgBXuJYkAFI/pVxEZc\nsS+/FStgWUGEDbtrBQsqKogisEhRJBrF6FoAXUEQEIJSQhpiQEDQQDK/P47D3DK35iY35fV8PPKY\ndmbm3JJyP/mcz/FYlmUJAAAAAAAAiEGdRHcAAAAAAAAA1RfBJQAAAAAAAMSM4BIAAAAAAABiRnAJ\nAAAAAAAAMSO4BAAAAAAAgJgRXAIAAAAAAEDMyh1cyszMVOfOndWhQwdNmDDBtc3f/vY3dejQQd27\nd9fy5cujOhcAAAAAAABVV7mCS6WlpRo2bJgyMzO1Zs0azZgxQ2vXrvVp895772nDhg3KycnRiy++\nqNtvvz3icwEAAAAAAFC1lSu4tGzZMrVv315t2rRR/fr1NXjwYM2fP9+nzYIFC5Seni5JOvXUU7Vz\n504VFhZGdC4AAAAAAACqtnIFl/Ly8tSqVauD28nJycrLy4uoTX5+fthzAQAAAAAAULXVK8/JHo8n\nonaWZVX4PQAAAAAAABC58sRrvJUruNSyZUvl5uYe3M7NzVVycnLINlu3blVycrL2798f9lxbvB4s\ngMiNHj1ao0ePTnQ3gFqJ7z8gMfjeAxKD7z0gMeKZzFOuYXG9evVSTk6ONm3apJKSEs2cOVNpaWk+\nbdLS0jRt2jRJ0pIlS9S4cWMlJSVFdC4AAAAAAACqtnJlLtWrV0+TJk1Sv379VFpaqqFDh6pLly6a\nPHmyJOnWW2/VxRdfrPfee0/t27dXo0aN9Oqrr4Y8FwAAAAAAANWHx6riY848Hg/D4oAEyM7OVkpK\nSqK7AdRKfP8BicH3HpAYfO8BiRHPeAvBJQAAAAAAgFomnvGWctVcAgAAAAAAQO1GcAkAAAAAAAAx\nI7gEAAAAAACAmBFcAgAAAAAAQMwILgEAAAAAACBmBJcAAAAAAAAQM4JLAAAAAAAAiBnBJQAAAAAA\nAMSM4BIAAAAAAABiRnAJAAAAAAAAMSO4BAAAAAAAgJgRXAIAAAAAAEDMCC4BAAAAAAAgZgSXAKCG\n27w50T0AAAAAUJMRXAKAGqyoSGrTJtG9AAAAAFCTEVwCgBqspCTRPQAAAABQ0xFcAgAAAAAAQMwI\nLgEAAAAAACBmBJcAoAbbtSvRPQAAAABQ0xFcAoAazLIS3QMAAAAANR3BJQAAAAAAAMSM4BIAAAAA\nAABiRnAJAGowjyfRPQAAAABQ0xFcAoAajOASAAAAgIpGcAkAAAAAAAAxK1dwqbi4WKmpqerYsaP6\n9u2rnTt3urbLzMxU586d1aFDB02YMOHg/tmzZ+vEE09U3bp19c0335SnKwAAAAAAAEiAcgWXMjIy\nlJqaqvXr16tPnz7KyMgIaFNaWqphw4YpMzNTa9as0YwZM7R27VpJUrdu3TR37lydc8455ekGACCM\nAwcS3QMAAAAANVW5gksLFixQenq6JCk9PV3z5s0LaLNs2TK1b99ebdq0Uf369TV48GDNnz9fktS5\nc2d17NixPF0AAISwapVZ7t2b2H4AAAAAqLnKFVwqKipSUlKSJCkpKUlFRUUBbfLy8tSqVauD28nJ\nycrLyyvPbQEAEdq92yy3bUtsPwAAAADUXPXCNUhNTVVhYWHA/nHjxvlsezweeVymJXLbF63Ro0cf\nXE9JSVFKSkq5rwkAtUHduonuAQAAAICqIDs7W9nZ2RVy7bDBpaysrKDHkpKSVFhYqGbNmqmgoEBN\nmzYNaNOyZUvl5uYe3M7NzVVycnJUnfQOLgEAImcHlzZskNq3T2xfAAAAACSOf7LOmDFj4nbtcg2L\nS0tL09SpUyVJU6dO1cCBAwPa9OrVSzk5Odq0aZNKSko0c+ZMpaWlBbSzLKs8XQEAuKjzx0/5iy5K\nbD8AAAAA1FzlCi6NHDlSWVlZ6tixoxYvXqyRI0dKkvLz89W/f39JUr169TRp0iT169dPJ5xwgq66\n6ip16dJFkjR37ly1atVKS5YsUf/+/XURn34AIK6I2wMAAACoaB6riqcMeTwespoAIEaffiqde65Z\n50cpAAAAAFs84y3lylwCAFRt9esnugcAAAAAajqCSwCAAAsXSvn5ie4FAAAAgOqA4BIA1GDeWa4e\nj5SaGtl5AwZIDz9cMX0CAAAAULPUS3QHAACV58MPQx+fPFnavbty+gIAAACgZiC4BAA1mMcTXft7\n75X27KmYvgAAAAComRgWBwA12DHHBO7bvt1Zv+gi6e673c+NNjAFAAAAoHYiuFSD/PabtG9fonsB\noKpbutRZz8yU5sxJXF8AAAAAVH8El6qQZcuk2bNjP//886Xu3ePXHwA104ABwY+VllZePwAAAADU\nDNRcqkJuvllaudJ3dqdofPuttHdv4P6yMumLL6Szzipf/wBUP9H+PPHOfmRYHAAAAIBIVMvMpd27\npc8/T3Qv4sOyTPCnomzeLD35pHT22fG75sqV0v798bsegKppyZJE9wAAAABAdVAtg0v/+EdgFs6B\nA9LEic72zp2V26dgCgqkW28Nfvy226S2beNzr99/D9x3ySVm9qd46t5dmjIlvtesCUpLpbp1pezs\nRPcE/g4ckPLzA/fv2lX5fals0WQu+Q/L/flnZ33Tprh0BwAAAEANVK2CS7t2mawlt5ogGzdKf/ub\nWd+0STr6aLM+ebL0yCOV1sUALVpIL74Y/PjLL0tbtvju27gxtnu5PS+rVsV2rXAoHB6opMRkoZ13\nXqJ74jhwwARjy+PNN82MYgUFkb03Z8829cNiYVmxDwsN5ZlnpJYtnW37/XvUUe5DSWubLVukH3+U\nBg3y3V9Q4AyNa9uWABMAAAAAd9UmuLR7t/kgeOaZgcfefVe67DKzblm+mUCjR0uPPhrbPfftk/7y\nl9jOdbNzZ+BwMntI3LffSr/+ataPP97M/FaVbNkivfVWontRe6xaFRh0jEVenvTAA+HbhDJzpplR\nLCXFvDfDGTRIOvXUiLvoo04d6emnpeefN9tu2Xix+OknZ72gQDrsMGf79tvjc49I3HuvewZVRQoV\nrCsudtYzMsJfK16vBwAAAICapdoEl556yiy9M3Hs/6hfcom0enX877lhg/Taa7775s6VLr00+mvt\n2mWyqe65x/14jx7SDz842+FmjTtwIHSGzNq1gdkjU6aYoNWDD0pFRcEDWG+8IQ0datb375datZLG\njpWuvtppk6hsj5deqpyhTN5TtVeWXbuc1+Skk6TjjjOvc6wKC6X16wP3r17tG1BJTpb+9z9nu6jI\nNyBh1zcL97zHmnHnb9Ik6Y47TN8bNox/3Z89e8zS/vnx5ZfxvX4ojz8uvfNO5d0vlN69pWOOcbZf\neil4W2ovAQAAAAil2gSXgvEP/lSEjz+WfvnFrL/5prRggQkyhctA8B6OdNRRZml/sPzgA+mKK4Kf\nO2SIWT72mHTOOYHH58wxtX2OP15KT3cyt2wXXBCYPXLTTdINN0jjx0vNmjnDCP298IL0yitmfc8e\naevWwDYPPSQtXx68/25WrnQ+0Ieb7vydd9yzZG65xTz3FeWNN0zG0GmnBR7btctkn/3yixlCFA8e\njxO0adpUGjzY9/gPP5hZBAsLo792//5S376B+996y7zG3nr1Mn157TXz3vDOUvOuu+PPssx7eft2\n83p17uwci3WmMTvIOn++WebnmyBnRWXz5eTE5zq7d5vlwoVVa9hosMylr7+O/Bqnn+6sb9tGQX8A\nAAAAvqp9cMl/2Jp3wOPhh531tWuljz4Kfa3CQvNBbPVq3yyifv2kxo19215+uW8Nl5deMoEb+7z9\n+92HI23aJF11lbnmnDmh+yOZQMp//+u7r3VrJwixcaM0a5Y0b174a0nSZ5856wUFkZ0juWdS/fnP\n4YNE3uzhVx9/LNWrF7rt4sXBM2Fyc933//BD+ELjzz8fOih23XXSmDHux844Q+ra1bzO7dqFvs8l\nl0jffx+6jS031ww3+v33wEDHtGmmLtesWWa7b18T3OreXRo5UurSxf3xzJsnffONs716tRPweOwx\ns8zMNIEhb4sWmeX27YHX9B5ClZUlXX+9VL++eS/bwYZ16yJ7zJG4/36zXLvW3Mv+fvN4zJedgRSJ\ncBlg9pDUWJWVSUcead5/AwaYIGVNlZQU/HsEAAAAQO1ULYJLO3b4bhcVBW/bv7+z/thjTsbHNdeY\nbB5bUpJv8EmSmjc3Hwq7djWBBHsInvd/6f/zH99z7GDSLbdIU6dK990nPfmkdMghwftoBwqi8dVX\nzrp/cMU/oyMvL3hWVbj6OpITgPrhB6lJE7NuZ275113yH1L06afhsxrsosBuQ7bmzDGBJ3sYpBv/\n123DBvM6Z2SY7KxQ7rjDBMW830N5eSYbw87wsLO2/P3wg2lrvx+9h5L5e/ddE/gJZu9eUwBcMu+3\nhg3N+po1Up8+Trvx483yzjtNH7OyzONduVKaMMEEsD791LSZNctsX3llYCZb165mGJS3iy4ygSFv\ndrDQbeiW3d/ffzdBrunTnfYtWgR/rOFYlgkgBTNtmgl6FRf7vq/dMm/8C4Jfd535OfDvfzv73GoL\nXXaZ9N13Trbhq6+a5zuaxyA5mZThsrY2b/bNBqpIFVEnKZrANAAAAICar1oEl5o08c2amDo1eNtw\nw4csy5y/bZv50Llhg+/x6683ywMHpGuv9T12772B12vf3veD9dy50t13h+5DLP7xD/MhMZLZmpKT\nI7tmuFm52rcP3Oddd0mSzj7bN7h17rmmAPTf/+6bLVJaGhhA6NTJfAj/4gvp9dfN8LAlSyLLhvLO\nyunQwQQOX37Z934TJzrbv/3mmwll9+3bb83zlZRkMnm8Bcuw+uQTs7Sz5j77zDwOtxnSPJ7A7KCL\nL5YaNTJBSDeLF7vv9w46+fv9d5MR16VLYADUtnp1+IwrO5suK0saN879PeIdqAnn/fed9RNPNEEr\n/2F2mZnSCSf4FuL3tn69M3Rw7Fhn/3nnSe+959v2vvukP/3JrE+ZYoLFEyb4tnELHmZlmfeLnW14\n442mMLl3kKhNG/Mcr18fPHvO9uijvu9Rf19+Gf86Rvv2ORME7NrlDK0NNVtltLyHPQIAAACArVoE\nl6TQmSyRWLHCLPfuNcOabB06uLf3DmbZsrLc21bGf/HnzjXZLSkp8bvmwoXmw/Prr5vlVVeZ7I1o\nHXqoCdLYSktNEOCnn8zwvd69TX0pu5j5jTf6nj9qlPkgPHOm+/WnTZMGDvTN+Dr5ZN8MKe+C7jfd\nZIJw3jWlRo/2reF0+eUmcNKjh7NvzRrf+371lXks33xjAiL+GWKrVpnH/fHHZjvYa7NunRl2NXq0\neZ7toWcjR7q3DybYa/PUU4HDNoOJplbUQw+5FzZ/6KHIr3HhhSbwtX+/eX7T0pzgj80uDh9J4NQ/\n8Ni/v3lOr7vOLLOzne9dO4st0uFz/kEYO4ho27zZvAc7dTJDU+1Ajjc723HLFt/gpuQURpdCB3ZD\nZWb+/LP7+2DDBjMDXt265nF//bX5vpaq3syTAAAAAGqeahNcihe3WjJTpoTP4kmEzz4LzH7YvDn+\n97EzHGbNkrp1i+0aPXqYAJC/mTPNB91QNaHCZSqlp5vizldd5bvfHhbmz7/u0vffOwEd27JlvnW1\npMDMtBEjzPLkkwMDIrYePUyWVig//SQdfnj86tT4D9fatKniAgjxGLrVpUvgMNFHHzWvabRFv4PN\naGbXOLKHKgb7fh40KLr7SSZ47FavrW7dwPeVPXxUCpxswHvIpv2+tSzf4aHffGMKqgdz4onme9Q/\nwGQXP5fM+//WW8363r1V82cbAAAAgJql1gWXTjwxcN9NN4UeameLdfarWJ19duXer7zsD7h2Zpid\nLRaOd0aHv1DP+cMPh65rJJkAVJcupkaRv0gLbpdXtLPqhRNLza5EcivM/sgj7sHIeAkWUHErTB9O\nixa+9dq8XXyxM2TPzV/+Yuo3+bODxJMnm0yoMWNMZtfJJ/u2a9DABM42bDCPyc5q8i5Anp/vZEzZ\n7OG+WVkElwAAAABUvFoXXAo2K1Qks615D/1CeBdfHP05/jWwyivU0LNLLonvvYJ59934Xs8/IwaB\nyhNQiWYGREk66ij3IXKSea38h4F6PE7/br/dLEeP9g3C2fW7SkrMeocOTuF2yRlCWlpqZtELFRyf\nNi3SRxK5pUsJWgEAAABw1LrgUjDew0qQGG+/7T78KBYVMUMWKoZ/Ue54KE/gw62IezjBirDb5s1z\n3pNjx7oHfAYMcNZPPdVZf+YZs8zJcfY9+aTJYjr33Oj7Gg+rV/vWOQMAAABQu3ksq2r//9nj8Uiq\n0l0EUMVs2WKKbldnllX+obgPPCCNHx+f/vhbsULq3r1irg0AAACg4nk8HsUrJERwCQCqoLZt3etV\nVRUElwAAAIDqLZ7BJYbFAUAVVJUDSwAAAADgrVzBpeLiYqWmpqpjx47q27evdu7c6douMzNTnTt3\nVocOHTRhwoSD+++77z516dJF3bt31+WXX65fvOfxBgBUWT16JLoHAAAAAKqKcgWXMjIylJqaqvXr\n16tPnz7KyMgIaFNaWqphw4YpMzNTa9as0YwZM7R27VpJUt++fbV69Wp9++236tixo/7xj3+UpzsA\nAAAAAACoZOUKLi1YsEDp6emSpPT0dM2bNy+gzbJly9S+fXu1adNG9evX1+DBgzX/j6nZUlNTVaeO\n6cKpp56qrVu3lqc7AAAAAAAAqGTlCi4VFRUpKSlJkpSUlKSioqKANnl5eWrVqtXB7eTkZOXl5QW0\ne+WVV3TxxReXpzsAAAAAAACoZPXCNUhNTVVhYWHA/nHjxvlsezyeP2Z2U8D+cMaNG6dDDjlE11xz\nTZAWo73WU/74AgAAAAAAQCSys7OVnZ1dIdcOG1zKysoKeiwpKUmFhYVq1qyZCgoK1LRp04A2LVu2\nVG5u7sHt3NxcJScnH9x+7bXX9N577+mjjz4K0YvR4boJAKhke/ZIhx+e6F4AAAAAiERKSopSUlIO\nbo8ZMyZu1y7XsLi0tDRNnTpVkjR16lQNHDgwoE2vXr2Uk5OjTZs2qaSkRDNnzlRaWpokM4vcv/71\nL82fP18NGzYsT1cAAJXs118T3QMAAAAAVYHHsiwr1pOLi4s1aNAgbdmyRW3atNGsWbPUuHFj5efn\n6+abb9bChQslSYsWLdLw4cNVWlqqoUOHatSoUZKkDh06qKSkRE2aNJEknX766Xruued8O+jxSIq5\niwCAClJYKP1Rdg8AAABANePxeFSOkJDvtcoTXKoMBJcAoGoiuAQAAABUX/EMLpVrWBwAoPbasiXR\nPQAAAABQFRBcAgDEZO/eRPcAAAAAQFVAcAkAEJN16xLdAwAAAABVAcElAEBM3nwz0T0AAAAAUBUQ\nXAIAxIRhcQAAAAAkZosDAJRD1f4NAgAAACAYZosDAAAAAABAlUBwCQAAAAAAADEjuAQAAAAAAICY\nEVwCAAAAAABAzAguAQAAAAAAIGYElwAAAAAAABAzgksAUAt9/32iewAAAACgpiC4BAC1UKdOzvrd\ndyeuHwAAAACqP4JLAFALdOsWvs3bb0sLF0Z33dLS2PoDAAAAoOYguAQAtcDy5c76hAlm2aWLb5vL\nLpMuvlhavz7y665ZU/6+AQAAAKjeCC4BQC1Qt64TYDrmGLN89VX3th06mOXateGvu3p1+fsGAAAA\noHojuATUILNmBe4777zK7weqph49fLc7dJB69nRv+/vvUufO0ubNFd8vAAAAANUbwSWgBrnySmn+\nfN99Eycmpi+oupo1M8smTaRvvnFvc8ghZtm6tTR5cvBrTZ8e374BAAAAqH4ILgHVQK9e4dskJ5tl\nWpq0bp1Zz8iQTjwxtnv+859muWWL9P/+X/j248fHdh9Urp07pf79ozvn//7PLFu0CDz20Ufl7xMA\nAACA6o3gUpwdfnh8r2dnD8TTffeFb/OnP8X/vqGMHVvzp0O3rNjPHTJE6tjRd9+zz/pu5+Q463bb\nI46I7j4DBkgXXig1bSrddpvZ16KF9Mwzvu3OOCPwXHvI1ZAh0d1Tki69NPTxr76K/prVybhxvtuN\nGwdve+qp5bvXUUdFf84xx5jX4KuvzHvDW3ne1wAAAABqhmoVXLI/7NqimdHI37//Hb5N796m7kg0\n8vMja9e1a2TtnnoquvtHYsCA0MePO0467bT43jPc433oIenxx+N7z6qoSZPoz3nzTZM5dMopvvvt\nbBJbw4a+2+vXS7fcEv39Fi2SiopCB6b69Al/nTVrIn+8DzwQuG/tWunHH6Xt290zt0IFYObOdd9/\n2GHOerSBt3AuvVR6+eXozysrC3z8BQWB7caNk375RVqyRJozx+zzngFOku65xyxvvlnauNHZ/+uv\n0ffLX69eJtBoF/u2RfszEgAAAEDNU62CS94GDQr8kBPKQw/5bvtnVzzwgJSXF3ied+ZQuKCM5Hxg\n7d3bLOvVc283ZkzgPrehKnX8XqFOncL3IRyPJ3Dfa685w1vilYlw003SCSfE51rx0q5d9OfYQYxI\nApJ28eN+/dyPewc3gvn73531jh2lq6826//6l5SV5RxLSpK++04aONAEYfx16OD7/mvdOvy969YN\n3Of2fmnUyHfb7T3TpYv5ntq3L/Q9e/cODJxJpph027bOzGa2v/7VLEMFlwcONEv/99+ddzrrb77p\ne2zDBrMcNCj4dd95x1k/9FBn/brrpHnzpKFDpR07pFWrAs+96y732df8n98TTggMFErmZ9SRR5r1\nyy83y5NOMs/9qFFm2w76paZKbdo454Z730WTIVm/fuRtAQAAANQO1SK4dPbZgftmzjTLZcsiu8bY\nsb7bHo/JGLjwQrOdnh5YT8T+YG7v9w8U3XabVFLiBHy8P2CnpUnNmwcWV7b17y999pnvvlCFlz/9\nVMrNNR9QI+EdoJDMB007ONayZWD79HTp/PPN+rHHOvsbNvQNaEimhk+/ftINN7jf2x4a+Oc/myyL\naDVv7qwfcYR57LakJPMVqbvuMkO4zjnHBDA+/DB0++eeM8sbb3T2FRWZpV0E2c306SYQZAdwgg09\n+uIL9/0NGrhv27WT7PtfcIFvuxNPNFk6bdsG75vNf6jjlCnO+nvvmSFPL77o28ayfAOckQSovDVs\n6B4o8fbww869JPP+8X//ervoIrP0fp8G88AD5rr283nrrU421emnu5/jHYi2g8Q279nW7CLXliW9\n/rqzv3Fj90y94cMDA+L+2WeSCcpGwvu1GT9eKi52nhtbpIGgBx+MfOih/3sEAAAAAKpFcMktq8Hm\n/+EvGh6P9PbbZiibXaPGO0A0bJhve++gh2VJzz9vPrytXi3t2RN47fx86eKL3e/doIGpnWJnxTzx\nhNSqVfC+Nm9uCjZfe21kj+3mm32DYRs3Oh94jz9e2rrV/by8POmDD5ztRx/1DWjs3SutXCllZkqv\nviq98ELgNeyssCOPNMGhV14xNXueeCJ8v7t2NYE3O4vkvvtMcNEe3rV+vW/ARXLaStKuXdLHHzvb\nTzwhff659Mkn0tKlvtkcbm6/3Xf5979HltVx7bWB/bKswAwm+zUeMcJ3v52JYnvyyeD3Gj5ceuyx\n8H0K58YbzWu5aZMJSvTqFVhPx9svvzjPtZ3hFCzAGMxJJ5mgozf/oXPbt7tn9gXTpYtZ2s+hd90z\nO1PtH/8wy9atTYDo+OMDr5OcLF12mdStmymE3revWfq3KSsz69dfb74fIuUWmPPOnrKH/boFpq6/\nPvz1jz7aLO+8UzrvPLPes2dkfTv88MiKxkvRZYwCAAAAqB2qRXDJDurYw0f8hyeF+kDsbe1aJzPF\nvtahh/oGjWyDB0vXXOO774knpMWLnWE5trp1A4cJeTvvPOmHH8yHVm/16jlDcO66y2y//HLgtN9L\nlzofkr2H0CxbZrI+LrjABBxsO3Y4M4d58z63ZUsTKLCH09hatDAf9t0ypD791Dxf/kP1bPaQHY/H\nDNOyh3P95S/mObjrLhNwsQN4Ho8JXnlbtUp66SXzeL/4Qrr33sB7HHWU7/Am+7lp2NAEs1JSzHaw\n4U3ez0P37qGHQdmBC9uuXb7bn31mgmeRni9J774bGDyZOtUEb664wgzpSk8PnvX25JMm0yQaPXua\nQJdd12rNGrPs1s3U2IrEkUeaYOp//2u+B375xTx2/yFxbkM3n3rKtF2xwvf7avx46cwznW3vLCN/\ny5YFPidff22Ch5I0Y4ZZ2vXCLMtZv+MO8/3l8ZgsrdWrA6/foIEJNksm+Pf+++GfG++hcf6836O2\nOnXMlx2w9A5c2kGb1FRn3zPPmMDo88+H7oe3p55ystTchjQCAAAAQLzFHFwqLi5WamqqOnbsqL59\n+2rnzp2u7TIzM9W5c2d16NBBEyZMOLj/4YcfVvfu3dWjRw/16dNHubm5Qe81fLgZmjR2rMlKsYvW\n2t56y1m/9FKTlWMPm/PWubOTkRJN3ZBu3UwAqmFDEySZNCnycyUTkDr+eGc4WqiaRkOHBhZhPuUU\n50OiHdjZt89kbT36qBm25h1gC1Xo2Fu7dia44sYeIuftrLNCX8/Orhg71gzTChaEsg0ZYoJjwZ6P\n0093Prz7BxCfeip8DaxgQYovv3Sym8aOdX+veDzS998HBp6OOMI3M+bMM03wzJ89hM7+kO8dMOjf\n3/Tt/fedQGX9+iZ4M3u2CQQddpgZWhkv33xjAjl2dopb0CtSZ51lXpcjj3QPXowcGZjRc+ed5nny\neMz37/ffm/2hAnv+evcOfE5OPtlk7FhW6AyzBg2k/fudde+hemeeGTjc0J931pHH41ssOxjvYvz2\nj0ePRyotNbWb3n3Xt/3w4YGFtzt2NEM6QwWvAQAAACDRYg4uZWRkKDU1VevXr1efPn2U4T9+RFJp\naamGDRumzMxMrVmzRjNmzNDaPyra3n///fr222+1YsUKDRw4UGNCjIOpW9cEF445xslK8WYPATnp\nJFNUt2VSj0EcAAAgAElEQVRL50OrdyDAtnu3k2UTifnzfYdehbNokZndy99bb0lbtkR2jWABl0MP\nNVkn/nVs7rsvMBujTx/p3HN9M4X8RZq1Eoz3Na+/3gyxsofnhBNN4fCHHw4+lM/NsmXBZ9o79VTn\nfWQP75o40ak506KFGT7XqVPoAJnbayyZmb7++U+zfv/95jX3Hmpo69vXBEcq0znnOEGWeLNf9zp1\nQmf0SCbYOmFCbAXW452N89lngXXF/OXkmOF6tnDDK23nnGOGVvrX4OrbN7CAf506gYW3wz2PAAAA\nAFAVBJnLLLwFCxbok08+kSSlp6crJSUlIMC0bNkytW/fXm3++CQ2ePBgzZ8/X126dNERXvOA79mz\nR3/yrzYcpZwc90BSixamPpA3t3b+vKcpD5YBE4xdJNzfUUcFfsh84IHgGUEXXOAEzry5ZZ3UqxdY\n1HnRIt9t/4Llkhk2VFLifv9IXH+9KZIsmftHOkQxWocc4l6I3Na0qW/GViS1uD77zBk25V1fy23W\nQDfBakh5F/6uXz90LS2316SiBZvBsLxOO80pfh5O/fom8BaLvn2lhQtjO9fb0Uc7xcSDadtWmjXL\nvP/8Z62LxB8/ImOybh31jQAAAABUDzF/zCwqKlLSH9N2JSUlqcjlU2VeXp5aeX2yTk5O1tKlSw9u\nP/jgg3r99dd12GGHaUmIacVGjx59cD0lJUUpLulL7dsH72skM2l5W7eu8j70H3dc8GK94bIp/B16\nqG82kH+Gx+23m1pS/kINEQyXWXLooaZu08iR0WWDTZsWfLauWKxZE34Ynj/vWj+xiEeQpl+/wDpO\n1VlFBRe91asXvFB+r16BGUHB1KkTWPPLrc2VV0bXv3ixJxkoj379TM02AAAAAMjOzlZ2dnaFXNtj\nWcEHJ6WmpqqwsDBg/7hx45Senq4dO3Yc3NekSRMVFxf7tJszZ44yMzP10ksvSZKmT5+upUuXauLE\niT7tMjIytG7dOr366quBHfR4FKKLIS1caKatj3QWJPg6cMAJoAwdaoqNV6UCwZdcYurWxPj2iMrh\nh0tLlpiZvC65RNq2jQ/tqL38fw5UxvcgAAAAgPgqT7zFX8jci6wQqTNJSUkqLCxUs2bNVFBQoKYu\nKQstW7b0KdSdm5urZJdpzK655hpdHCwVoRwizWCAO+/MnClTEtePYF54wczCVxn27HHWFyzgwzQA\nAAAAALaYC3qnpaVp6tSpkqSpU6dq4MCBAW169eqlnJwcbdq0SSUlJZo5c6bS/pjuKScn52C7+fPn\nq2fPnrF2BbVUy5amYHJl83iiH4IHAAAAAEBNFXJYXCjFxcUaNGiQtmzZojZt2mjWrFlq3Lix8vPz\ndfPNN2vhHxV3Fy1apOHDh6u0tFRDhw7VqFGjJElXXHGF1q1bp7p166pdu3Z6/vnnXbOf4pmmBQAo\nP4bFAQAAANVfPOMtMQeXKgvBJQCoWgguAQAAANVfPOMtDO4BAAAAAABAzAguAQDKZcuWRPcAAAAA\nQCIRXAIAlMuzzya6BwAAAAASiZpLAICo+NdcOvRQae/exPQFAAAAQGyouQQAAAAAAIAqgeASACAq\nd92V6B4AAAAAqEoYFgcAiJr/0Dh+TAMAAADVC8PiAAAAAAAAUCUQXAIARK1Dh0T3AAAAAEBVQXAJ\nABC1rl0T3QMAAAAAVQXBJQBA1Bo1SnQPAAAAAFQVFPQGAERt1SrppJOcbX5MAwAAANULBb0BAAl1\n1FGJ7gEAAACAqoLMJQBATDweZ50f0wAAAED1QuYSAAAAAAAAqgSCSwCAcisrS3QPAAAAACQKwSUA\nQLlNm5boHgAAAABIFIJLAIBy27Ej0T0AAAAAkCgElwAAAAAAABAzgksAgHLbuzfRPQAAAACQKASX\nAAAxmTLFWf/ii8T1AwAAAEBiEVwCAMSkZUtn3bIS1w8AAAAAieWxrKr9kcDj8aiKdxEAai2Px1nn\nRzUAAABQfcQz3kLmEgAAAAAAAGJGcAkAAAAAAAAxI7gEAAAAAACAmMUcXCouLlZqaqo6duyovn37\naufOna7tMjMz1blzZ3Xo0EETJkwIOP7444+rTp06Ki4ujrUrAAAAAAAASJCYg0sZGRlKTU3V+vXr\n1adPH2VkZAS0KS0t1bBhw5SZmak1a9ZoxowZWrt27cHjubm5ysrK0nHHHRdrNwAAVURZWaJ7AAAA\nACARYg4uLViwQOnp6ZKk9PR0zZs3L6DNsmXL1L59e7Vp00b169fX4MGDNX/+/IPH7777bv3zn/+M\ntQsAgCrEe+Y4AAAAALVHvVhPLCoqUlJSkiQpKSlJRUVFAW3y8vLUqlWrg9vJyclaunSpJGn+/PlK\nTk7WSSedFPZeo0ePPriekpKilJSUWLsNAKgghYVS8+aJ7gUAAAAAN9nZ2crOzq6Qa4cMLqWmpqqw\nsDBg/7hx43y2PR6PPC7/snbbJ0n79u3T+PHjlZWVdXCfZVlB++EdXAIAVE1Tp0ojRya6FwAAAADc\n+CfrjBkzJm7XDhlc8g7++EtKSlJhYaGaNWumgoICNW3aNKBNy5YtlZube3A7NzdXycnJ+uGHH7Rp\n0yZ1795dkrR161adfPLJWrZsmet1AABV36hR0n33SXXrJronAAAAACpTzDWX0tLSNHXqVEnS1KlT\nNXDgwIA2vXr1Uk5OjjZt2qSSkhLNnDlTaWlp6tq1q4qKirRx40Zt3LhRycnJ+uabbwgsAUA1t2lT\nonsAAAAAoLLFHFwaOXKksrKy1LFjRy1evFgj/xgLkZ+fr/79+0uS6tWrp0mTJqlfv3464YQTdNVV\nV6lLly4B1wo2fA4AUL20b5/oHgAAAACobB4rVLGjKsDj8YSsxwQASBy3/w0cOMDQOAAAAKCqi2e8\nJebMJQAA3NxxR6J7AAAAAKAyEVwCAMRs9uzAfZmZld8PAAAAAIlDcAkAELNmzQL3bdlS+f0AAAAA\nkDgElwAAMQs2H8Pvv1duPwAAAAAkDsElAEDMggWXxoyp3H4AAAAASByCSwCAuPv550T3AAAAAEBl\nIbgEAIi7OM1oCgAAAKAaILgEAAAAAACAmBFcAgDELFjNJTKXAAAAgNrDY1lV+yOAx+NRFe8iANRa\nO3ZITZoE7k9KkgoLK78/AAAAACITz3gLmUsAgJgdfbT7/qIis/zlF2nEiMrrDwAAAIDKR+YSAKBc\ngg2Nu+EG6YorpAEDGCYHAAAAVDXxjLcQXAIAlEvnztK6daHb8GMcAAAAqFoYFgcAqDJuvTXRPQAA\nAACQSASXAADlcvjhie4BAAAAgEQiuAQAKJdrrw3fZty4iu8HAAAAgMSg5hIAoNyCFfX2dvfd0vjx\nUoMGFd8fAAAAAKFR0BsAUKVEElySpEaNpB9/lJo2rdj+AAAAAAiNgt4AgGrp11+lN95IdC8AAAAA\nxBPBJQBApdq/XyoqSnQvAAAAAMQLw+IAAOUW6bA4b/xoBwAAABKHYXEAgCqFQBEAAABQexFcAgAA\nAAAAQMwILgEAAAAAACBmBJcAAAAAAAAQM4JLAICEeOIJqWdPs15WJu3Ykdj+AAAAAIhNzMGl4uJi\npaamqmPHjurbt6927tzp2i4zM1OdO3dWhw4dNGHChIP7R48ereTkZPXs2VM9e/ZUZmZmrF0BAFRD\n99wjrVhhZpq7/XapSZNE9wgAAABALGIOLmVkZCg1NVXr169Xnz59lJGREdCmtLRUw4YNU2Zmptas\nWaMZM2Zo7dq1ksyUd3fffbeWL1+u5cuX68ILL4z9UQAAqrX33090DwAAAADEKubg0oIFC5Seni5J\nSk9P17x58wLaLFu2TO3bt1ebNm1Uv359DR48WPPnzz943GLuagCoMfbti/3czZvj1w8AAAAAlate\nrCcWFRUpKSlJkpSUlKSioqKANnl5eWrVqtXB7eTkZC1duvTg9sSJEzVt2jT16tVLjz/+uBo3bux6\nr9GjRx9cT0lJUUpKSqzdBgBUkIYNy3+NZs2kwsLyXwcAAACAr+zsbGVnZ1fItT1WiPSh1NRUFbr8\nlT9u3Dilp6drh1f11SZNmqi4uNin3Zw5c5SZmamXXnpJkjR9+nQtXbpUEydO1LZt23TsscdKkh5+\n+GEVFBRoypQpgR30eMhwAoBqwuMp/zX4kQ8AAABUvHjGW0JmLmVlZQU9lpSUpMLCQjVr1kwFBQVq\n2rRpQJuWLVsqNzf34HZubq6Sk5Mlyaf9TTfdpEsuuSTqzgMAaq5jj5W2bYtPwAoAAABAxYm55lJa\nWpqmTp0qSZo6daoGDhwY0KZXr17KycnRpk2bVFJSopkzZyotLU2SVFBQcLDd3Llz1a1bt1i7AgCo\nIuIxN0Nqqllu317+awEAAACoeCGHxYVSXFysQYMGacuWLWrTpo1mzZqlxo0bKz8/XzfffLMWLlwo\nSVq0aJGGDx+u0tJSDR06VKNGjZIkDRkyRCtWrJDH41Hbtm01efLkgzWcfDrIsDgAqFbiNTTO45HK\nyshcAgAAACpCPOMtMQeXKgvBJQCoXuIRDCork+rUIbgEAAAAVJR4xltiHhYHAICbvLzyX2PTpvJf\nAwAAAEDlIHMJABB38co2InMJAAAAqBhkLgEAaoWyMik/X9qyJdE9AQAAABAMwSUAQJX1+edSr15S\nu3bB25SWSr/9Vnl9AgAAAOCL4BIAIO7mzo3Pdc49VyookA4c8N1fXOwMl7v/funQQ+NzPwAAAADR\nI7gEAIi7gQOlSy6J7zXr13fWi4rM8tlnpTVr4nsfAAAAANEhuAQAqBALFsT3ev7ZS5I0bJjkVoOw\nrEz673/je38AAAAA7gguAQCqjRtvlHr2lD76yNn3/vtmuW2bs++jj6RzzqncvgEAAAC1FcElAECF\nOf74+F7v1VelFSukOXMCjyUlmeLeknuWEyL3ww/Sjh2J7gUAAACqC4JLAIAKc8MNFXPd7Gz3/WVl\nFXO/2qZ9e+m66xLdCwAAAFQXBJcAABXm4Ycr937z5pnlTz+Z5e7dvkuEtn69U8Nq167A41lZ0tKl\nldsnAAAAVH0ElwAAFWr69Mq716BBZia59HSzfeSR0qpVZonwOnWSFi8OfrxvXzMTIAAAAOCN4BIA\noEJde63UvHnl3a9ZM9/t4uLKu3dNsHdvonsAAACA6obgEgCgwm3cmLh7r1iRuHsDAAAAtQHBJQBA\nhWvQQHroocTce/hws/zf/5x6QrXZSSdJX3xh1h9/XHrxRd/jn39e+X0CAABA9eaxrKr9p7bH41EV\n7yIAIAL790uHHJLYPmRlSRdc4Ltv7lzpnXekl182wae6dRPTt8ri8Ujnn+/UVjriCFO8+9//lu67\nz2l31lnSf/8beG7z5lJ+fuX1FwAAABUjnvEWMpcAAJWqZ8/E3Xv//sB9kydLr74qXX21dMIJld+n\nzz+XSksr955uRbs/+sh3+7PPTDCpTx+z3LnTOdauXeX3GQAAAFUXwSUAQKU67rjE3fvAAenpp83S\n3+zZ0vr1ld+ns86S3n+/8u9r273bLDMz3Y/bgaibb3b2/fij9PvvFdsvAAAAVB8ElwAAlaIqDDdL\nSzM1mOrXN4Gkn392AjuVMQJ75Upp3brA/eXJArIsafXq8O3efNNkILmJJKhmF0YvKHDuCwAAAEgE\nlwAAlaROHROQaNQo0T0xOnVyHx720ktmWVoaPIBy223SY49Ff8/u3aVTT3W2x40zy7/+1dm3e7f0\nww9OECec99+XunYN327ZsuDHOnUKf/6GDb7bliV9/bWUlyft2BH+/Ei89JJ0zz3xuRYAAAAqD8El\nAEClevZZac2aRPfCGDQocN9330mHHSbVqyelppp9v//uOwxs8mTp4Yfdh9ctX+6eIfTrr2b5yy/O\nvpkzzTI319l37rlS+/bmy9azpzR9uvtj2LfPLDdvloqK3NuMGmWGA8aTZUm9e5taVU2amCBTeU2Y\nID3xRPmvAwAAgMpVL9EdAADULkcdZb6qqrlznYDNRx9Jl14qLV1qAjf+mUxjxkh/+pN0553Ovu++\n823z009S585SSkrgvVatctZffdUEpXJyzPbevaaIdpcuUmGhdP31JoD04IPOOXv3Outt2pjlJ59I\n55xj1i1LmjVLysiI9NFH7sgjnXv49wUAAAC1i8eK17xzFSSeU+MBAKqO5s2lBg1MwKS6yMoygZsG\nDcz20UebIWE//ii1bWv2vf66NGSIGUY2apQpFO7P/rUWrAZSMF27OgGp3budAI+3Fi2cLKIHH5TG\nj4/uHtE66ywzs9y6dVLHjuW7Vrt25rnk1z4AAEDFi2e8hWFxAICEKCiQ/vKXRPciOqmpTmBJcmoN\nHX98YNv27d0DS5L0z386s7RF47vvTEBq8+bgNZny883y1lulL7+M/h7R+uwzs3z11ejOKywM3Bfq\nb5slS6QBA6K7BwAAACoHwSUAAOIokpnfRoyQ/va32O/Rpk34Itwvvih9/HHs94iW99C7zZtNECxU\nZlbz5mbYn+2hh6SNG4O3nztXWriw/P2sTpYvl775Jny7vXtNEXjv5zOeyspMRllN9+uvTm00AAAQ\nnZiDS8XFxUpNTVXHjh3Vt29f7QzyF01mZqY6d+6sDh06aMKECT7HJk6cqC5duqhr164aMWJErF0B\nAFRTZ55plueem9h+xEvv3pFnY732WoV2JSHsbKxt25x9bkXPbfv3m6XH48ycZxs7VkpOdj9v4cLI\nZ9Orzv78Z+nkk836jz8Gr2vVqJHJlAv23luzRkpKMjXEYjFzphmy6O3OO6Vdu2K7Xjzl5UmtW8fn\nWr16SaefHp9rAQBQ28QcXMrIyFBqaqrWr1+vPn36KMOlWmhpaamGDRumzMxMrVmzRjNmzNDatWsl\nSR9//LEWLFiglStX6rvvvtO9994b+6MAAFRLF1xglo8/nth+xMvXXye6B8bllyfmvsXFgfsee8x3\ne8sW34ymYEPhPv00+Ax0AwZIo0fH1MUKdfXV0urVgfsty3nMdsF2b5EEytq1k0aODN1m3jz37K4T\nTzQBvy++CH8fN25BpGeekf73v9iuF09r1vjOtlge33/v/vqFM2KEKexfVfzpT2YSguqsNgSPAaCm\niTm4tGDBAqWnp0uS0tPTNW/evIA2y5YtU/v27dWmTRvVr19fgwcP1vz58yVJzz//vEaNGqX69etL\nko499thYuwIAqOZqQgHnaItzV6S5cxNz399+M0XPvdkf/B95xMyud9xxzrGyMqlOkL9EPvzQLN9/\n33f/77/Hp69lZc6sgPHy1lvS9OnSe++5Hy8ocC963qKF6cuWLVKPHsGvbw8brFPHeX782XWpvGci\ntCXqPbpnT9XIcqooS5ZIP/8cuH/Vquif82efdX/tovHzz9KyZe7HysoiG7qbCHv2OJmOLVo4ddmC\nBfxqwu8NAKhJYg4uFRUVKSkpSZKUlJSkoqKigDZ5eXlq1arVwe3k5GTl/fFvyJycHH366ac67bTT\nlJKSoq+ryr97AQCV6u23pZ49nW37fw1HH52Y/iB206ZJffv67rOzdh59NDDbKFigyDv75sILpSee\nMEXQJalhQ9+2Bw5IJSXO9tVXSy5/kgR45hnpsMPCt4vWxIlS//6+++wPwaECY6WlJhPo22/N9sqV\nzrHTTjPLdeuc66WmmmGYb7zhfr2TTpLq1pX69HH25eSYAGC8AnSROv/88s8kWFliCVh4v/+8ffed\nWQZ7jdwMG2Zeu9JSE2wJ1Z9LLw2dLekWlBk0yGSyVTVffy0dcYR0993OPvt92rWrCYr5q1On4uqM\nAQCiFzK4lJqaqm7dugV8LViwwKedx+ORx+VfM277bAcOHNCOHTu0ZMkS/etf/9KgQYOCth09evTB\nr+zs7DAPCQBQnVx2mfkQLJnhHJ98Ytbbtk1cnxCb8ePNcsMGZ1+oWeS8s5i8+c8K9+9/B7/GkCFm\nBr8lS8z2W29FNvzLbXhaLDwe6fPPnW27IPQvv0i33WaO29kYv/3me+6//mUyNKTAIEL37s66PcTJ\nv89ff20Kt/uzr1VWJi1e7OyfNk069FATwN25Uxo82LfG0NChTl8zM53nNBJFRdJ//+t+bP36yAJ+\n0bIs6Z13gh+fPFn66afA/f/+t9Sype++q66KvR/er8uECeY1Lytz9l93Xfghjf5KSkywZdo03/15\nec4slQsWSH8MCAgwYoQJyvj78ksnSFnZMjKCTzLQu7dZev/saNPGCSoF+0jx/fcmCBWvoZHB/PCD\n6UOwbMcnn5See65i7l2Ts/4AVL7s7Gyf+EpcWTHq1KmTVVBQYFmWZeXn51udOnUKaPPll19a/fr1\nO7g9fvx4KyMjw7Isy7rwwgut7Ozsg8fatWtnbd++PeAa5egiAKAaWbrUslatsqw1ayxLsqyTTzZL\nvvhy+7roIsvavt2ykpKcfZZllm+/Hf79dscdpu2uXeY6wfz0k2Xt2xf8uGRZI0Y46/bXrbc66w88\nYJYNGzr7Wre2rAEDnO0pUyzrxBPN+oYNwR/34YeHf27OOy98m8xMZ33TJsv65Rezbj8X9rEbb7Ss\nF14w65ddZp4v+/jixc7zMGiQ2Td7duBzdOSR5tjvvwcee/FFyxoyJPRrZVmWdf31lvXxx777du70\nfe1tCxf6PlZ/9vNuWZb1zDPm/WK3rVMnfF/8HXOM7/sv2Jdt3TrLKitztj/80Pd5lSxr717f986E\nCc7xM85w1h96yLLy8ixr/36z79df3e+5Z49lffCBZbVo4f6cbNrku7+oyLIWLTI/l+PB+7Xyfuw2\n+9jFF/tuf/WVWebkBD/n/vvdH1MsysosKzc3cP+77wa+53fsMF92Xxo2jE8f/EmW9fPPFXNtAIhn\nvCXmYXFpaWmaOnWqJGnq1KkaOHBgQJtevXopJydHmzZtUklJiWbOnKm0tDRJ0sCBA7X4j3+nrV+/\nXiUlJTrmmGNi7Q4AoJo75RTf/7Tfckvi+oKqb9Eik+lW3oyYiy+WmjcPfvzYY6Vbb5U6dZLOOMO9\nTUGByVTy5l3c3M7o8s5c2rLFt/bN0KHOMKb27YP3Z8+e4MdswbJDgmnTRjrqKLNuWb7HXnnFqXs1\nd6505JG+x7duNctZs8zyyiudzBqbfU3/+lmSybzyz86xzZghnXWWWX/9dfPlLdhz4V/U3J7F0M3f\n/ha6AH7fvuGzjux6S3ZNrHA6dXIyNHv0MBMb+D+v9nNmz5czYoSTvbN9u9PO4zFZWE8/bWbdbNTI\n9zp2JtDkyeax5Oe798l7/4EDZnbBiy4yr2ck5s93zxKzffWVs24/X+3amefB+3X0eHyLo9sZTW+/\nbYbMeT92mz1kNlItW7oPDd25UzrhBMmrosdB3t8XWVlmu0cPM8Ogd98rSmUPZQWAWMQcXBo5cqSy\nsrLUsWNHLV68WCP/+M2bn5+v/n8UG6hXr54mTZqkfv366YQTTtBVV12lLl26SJJuvPFG/fjjj+rW\nrZuuvvpqTQv2lwUAoFaxPxyFGC0NuLJnl7v8cundd91nr/P32WfS/v2mJtScOSbA88orvvVqtm41\nQ7u+/NJ8EPZ4TEDJ/jA5bZrUuHHgdcNZtCiyx1URLrzQff+6dYHDEIMViD//fPcP4lu2hL53586B\nRaVXrDAfoL0/xM+bZ4Ycvvmm2fZ4TN2u6dNNACI52f36/kOXLMvUsPrtN3PMbUY9W1mZuc/OnWbY\nYVaW9J//SE2aOIG0YI4/PvRxyRmyaffRrrElmfeXzf456FZraP16MxxUksaONct77zUzLPqzC3v7\nBw29FRdL117rtPdva1kmOBUqwDFwoO/7ZtEi6b77nO3UVGf95ZdNgOnHH02fjzjCOebxuBdHtywz\n9OzYY4MHC+3hY7t3B59pcssWE0jzH2r288+mzt/33zv7RowwNctmz5Y2bzb7iotNkO6SS8w+74Di\nvn3m3uHe//5imaEwnnbskJ5/PrF9AFBDxC0HqoJUgy4CAOJs+3YzhKYyh1nxVTO/nnrKsr79NvA9\nZg+L8/86/3yzPPNM006yrMMOc47feKNZfvtt4h9bor7s5yXY9rXX+j7X9lC+BQuctr/9ZlklJYHX\nPuoo02bXLsu6/HKz77rrwvfpuecsq00byzrllMBj9pC/+vUt6557nP2tWwe/3iWXOOv165vlO+84\nj+nddy1r+PDAIXihvrZvd9a7dLGs5csr/rV64w0zbG7kyMDXzOa9v0mTwNdlxQqzbNHCvG7eFi2y\nrCOO8H2uLcuyjj7auc+jjwbvX79+wZ/3YF+vvea+/5przPflGWeY7SeeCPy+t9suXx7658HSpc5j\n8P664QbfbXsYpb19xRWBz28wzZub7xXJDL21hza69fmPSiQV4rnnIu8zgJonnvEWzx8XrLI8Ho+q\neBcBABUkUVOno2a55prAGbv++lf3ArwNGzrD1774InAo3FFHmSFwK1eaWb1qo1tu8S0kPnGi9P/+\nn7PdpInvUDE7o2faNOn668339W+/Bc78V1GWLHFm3Csv+0/SWH42bdsmNW3qbN98s/TSS/HpVzBv\nvOFkJXnz/tPa+7E0aSL94x9mKGgwGzeajLW6daVHHjFZf7aVK01GWZMmzn2iea7S0kyh8likpppM\nM2/24/zkE+nMM6X69QOPjRxpCrHHUyQfXTwe8zzm5pqZ7269NfBnUkmJmbCgoEBq1sz9OtnZJuvq\nrLPcs7p++83cq0ED9/Off166447I+gyg5olnvCXmYXEAAFS0ip4BCLVTWZmZDc2Nd10ktxpLdm0l\n7yFMtY3/DHXegSXJGY740Ue+Q8WGDHFm09u0qcK6FyBegaXy+uAD3+1oZuOLVbDhYf/7n/v+4uLQ\ngSXJ1MKqVy94MMIOLElOLa5IxRpYkgIDS5KpOZWbK6WkBM5CKZnAWLwDS8GMGBE4/GzvXrMsK3OG\nxy1YYIZ+Su7PcePG5jHZwxTPO8/Uf7JrV5WU+Lbv3t0M5du1S/ruO99j+fkmsCSFrk0GAJEgcwkA\nUECRlcsAACAASURBVKWNHSv9/e+J7gWqs/POMx/iOnWSHntMuv9+6a23Et2rmu3KK02tGn+rVknd\nulV+f+KlXj3zAb1z50T3pPwOHDDZR7FmiM6dK112WXz7VFPs3m3qitmF8iXzPLdubeqGpaeb597b\nOeeYDCv79bAsE0Bq2FCaNMlkW9rXmTLFTALgz84U+/FHqW1bp/2RR5o6hi+/bF73TZtM3z75RLri\nCtPuP/+R/u//4vksxGb9eqljx0T3Aqg9yFwCANQaDz+c6B6guvv4Y2npUjMs6447pJkzE92jms8t\nsCRV78CSZD6YjxqV6F7ExxVXmCBFrAgsBXf77YFF/iVT7PvGG6VTTw085l+Q/eOPzWyWkjRsmBka\nZ9u5M/T9160LzHqys6ReecXMSOn/+l1xhQlEuRWRD+Xpp90DXbH49VfzTwAA1RPBJQBAlbd1q3TM\nMYnuBWqCd9+ltgjKJ9jsedXNvHnSTTcluhc1kz2ke/duMwQxP9/3+Ndfu593+OHO+vnnS4sXO9st\nWoSesU9yhvVedJGp4+Sd9btqlVna9dCCzWi5f7+TARUqiLVjh+nPhAkmYBWKx2NqQoUTbWArGmec\nIa1dG99rFhcHzjwI1GYElwAAVV7Llk6KPwAAVZkdlHnkEalXL/M7LBJ2TbJgRo40y2ABjUMP9d0e\nO9ZpbweXvIuGBwtybd1qlsFqdkmmttYNN/hmVHmv+/v88+DHbHZNu4rw5ZeB2WHl1batCQICMAgu\nAQCqhTPPdNYty/zXFACAqubbb82ysDC+133qKbMcMyb2a3hPlJGREXjcLiwuSTk50vz55r7ehdq9\nj3tr0cLMivj00yZby7+eV9++0ttvB+9bWpqzvmiR9M475ho//BD8nGjEmrX64Yfu+3ftkjZvju2a\nwQJ7QHVGcAkAUC3Yf1TbGjd2CpxK0iGHVG5/AAAIZcaMRPcgeiefbGrUSdItt0gDB5pZ/8L9Q2f7\ndrNMSpKGD3eGj3oPCczK8i0a7j+znXcwLi3NCTY9/bQZ8hduWKAk7dvnzAZaWiq98YZzLJLg0oQJ\nTn2qnTulOXOk1FQzZG/bNqfdihXhrxVK796mhlu8Pfdc+YKaHo+p2eXm3nvNcEuGliMYgksAgGpr\n0iTzR05aGsVlAQCIhyuvNMuffjLLL780y+7dzdJthsFjj/XdXrjQLEMNCWzQwMy+aLOvO22ab+Bl\n4kSTFXX00dLGjb7X+Pln32DH66+bmlOS9P330nXX+bbfudMJHrkZOdIJro0c6cymN3myCZx9+KEJ\nWvXsafZHGmhxq3EV60yNofz1r+Ur1C85wyL9zZ5tHm+w4wDBJQBAtTd/PlPLAwBQkVauNEEW2//+\nF7ztokWRXbN3bxNk8Z6pLj09sN2OHSYr6ZRTnKF7H3wg/elPvtlJK1cGv5dlmQBVo0aRFQ/fv99Z\nt7OBUlMjn2CkWzfzuN58Uzr7bCe7q6p79tlE9wDVFcElAEC1MWmS9OKLie4FAAC10223lf8aXbpI\nP/5o1u0Z7qTIhnNt3y517WrW+/Uzy0mTnEwn78BIUVHw63z8sZSd7bvvjjuc9c2bfWfB8y627l14\n/OefzRDAnTvNbKT79jnH7Kysa681y2eeMUXW7cyp1q2D9688CgvNcMZoC6TbheJryoyYqHwey6ra\noyY9Ho+qeBcBAFVERaSYAwCAqsWyfH/nn3++9NFHzj7LkhYskC69VHr5Zemmm6R27Zzi4NddJ02f\nLj34oPTAA9JhhznnLl5stk87LbK+XHGF9J//mPXbb3dm5Av2N8mJJzrZV9F+zN27V6pb1wwpdOPx\nmLpZdlaZ//UffNAMVZwyxfTZeybenBypY0dn2/9c+/HMnCkNGhRdv1F1xTPeQuYSAKDGaNzYSWOf\nONHZH8kUyAAAoHr44APfbf/hcLt2SY8+atZvusksvWeds2tCjRsnvfee7+xtxcW+hcij8e670jnn\nmL9HgvGekc+bZTkZXcG0ayf172/qSdkWLDCBNZv3cMWrr5ZeeMHZHj/ePOZvvpGWLTP3tLOtIo0v\n3H9/8GNlZSYrDLUTmUsAgBrHrt1w3HFSQYEJONn/cWvUyDe9vTarV69iZqsBAKAiDRliCn/b6tWT\ntmwxhb8rW7du0qpVsZ1rf8x9/HHp7belL75w9hUWmhpPjz0mXXKJqS1pD7HzPtc7W8stW+qUU5wi\n5d7H33pL2r1buvlmE2C6917fYYX29QcMMH2wi5i3bm1mQly1Srr1VrNvxw5TtiAlxWR8lZWRTV5d\nkLkEAEAEli51/gvo/0cYfIuVurnwwsrpBwAA0fAOLEnmHyWJCCxJsQeWJOn6683y3ntNYMnb6tWm\nbtPAgdL//Z9vYCkaoQqv29lcF13kXsj7rbdMlped6WU780xTf8v+m6pJEzO7nl0oneyl2ongEgCg\nxmreXGrVytmePdv8oWQXAa2NvIunhjJqlO9zBwAA4mv69MDC28uXm6X30L958wLPXbLEdzsvz/0e\npaXu+wcPdtbt4uPeZs0yw+r8bdniu+39Tzv7b4zff3e/J2o2gksAgBrJLcP3iitMrYLMzMrvT1Xh\nXwT0uuvM82J7/nmzHD8++kKjAAAgOv71mf78Z7P85z9Dn3f66b7bycmh29s1qCJ11VXRtZdMQXMp\nMACF2oHgEgCgxikokOqE+Q3XpUvl9KUquOee4Mdef93UehgwwGzfdhtBJQAAEmnv3sjaRZohdNZZ\n0iOPBO5fs8Yst28Pff7TT0d2n3XrzPK22yJrj5qF4BIAoMZp1ix8m8MOq/h+xNvf/x6+zfTpgfvO\nO09q3z74Oa1bSw89FLh/xAipR4/A/R06hO8HAACITaNGkbUbMiSydsFmzV2wILLzf/opsnao3Qgu\nAQBqpdmzzTLSGkSxiDYFPZwxY6Q33wwdGHMr+NmokXTXXdJf/2q2f/stfDFvyQSk7NoPkskIk6RL\nL428zwAAoGLMmpXoHgAOgksAgFqpeXOzbNBAmjAhfHt7RpdoXHxx+DZz5wY/lpUVuO/qq6WVKyPv\nQ8OG0rnnSnfcIU2aZPY1aGCmbfYWaha9I44wwwibNZMeeEC68cbI7w8AAICaj+ASAKBWathQ2rbN\nrJ99tlkuW2aWdjFN2/jxTmHLSIbc2Y4/Pnwb/yCP5KS5X3CBs+/99531aGZxO/740IGjSPzyi5kS\nWZLGjatd9aoAAAAQHsElAECtdeyxZnnaadKXX0q9e/seP+wwU9x61ChzLC3NGZLWsGH46x99tLP+\nyivOesuW0imnmPXOnaWNG836mDFmOWmSNGeOWe/XTzrxRKlvX+f8Qw4xy1tvdb9v167h+xYNj8c9\nQOUd/AIAAEDt5fL/UgAAahePxwSYbJZlgkHeAaSmTaX586WtW6V9+6QXXpCeeMI5vm2byXjautX9\nHq1bS1OmSEOHmjb2DC8NGjj3LCuTzj/fDEO7/HKzPzPT/XobNpgg1eTJzj47Uyo5Wfruu8gfvxRb\ndpN38AwAAAC1F8ElAAC8LFtmAknHHed+PDk5+Ln33GOykJ55xnd/gwZSr16+xcPtoJK3Ov+/vXsP\nq6pO9wD+3QqpaWiiglwUFZDLmEJik6Nl2faajHkh1Am85Zg5o1Pm2Mx0Zso0GuuUZdYzHqchew6K\nM2eE0WSMHM2TCpl4LCEhRxJRmKdxQE0ChXX+eGex9to39l7szUb8fp5nP+uy1/6t374sYL+8v/fX\nSaYLdsWQIbJ88UWZ6W3LFiAlRfYFBsryL3/Raku1ZPBgCYC5qrwc6N1bCqP366cNMSQiIiKiWw+H\nxREREVlISnIcWLLUyc5v0JUrgY0bbfe//TbQs6cEYbxl8WIgIEDW33kH+Ppr4OGHgbvvdu3xgYHy\nGFcNHCgZVgBw8KAsJ092/fFERERE1HEYDi5dunQJZrMZ0dHRmDBhAmpqauwel5eXh5iYGERFReFl\ni+l4UlNTkZCQgISEBAwaNAgJCQlGu0JERNTmfvUr/XaPHtp6RoY2u1xwsGQtARK4unrVs/2YMkVf\nj0ntiztZSJ4SFdXyMaWlnq8JRWTUtGm+7gEREVHHYDi4lJGRAbPZjNLSUowfPx4ZGRk2xzQ2NmL5\n8uXIy8tDcXExsrKyUFJSAgDYvn07ioqKUFRUhJkzZ2LmzJnGnwUREVEb69kTeOstbbtbN2395z8H\n3ntP1i9eBIYN0+7r3t2z/UhI0M8k5wuKIllLP/5xy9lZUVHA55/b7o+L09Yt60hZuv12qUulKMb7\nSh2PWr/MCG8GOjt3lhpqRjU1ea4vRERE3mY4uJSbm4v09HQAQHp6Onbt2mVzTGFhISIjIxEREQF/\nf3+kpqYiJydHd4yiKMjOzsacOXOMdoWIiMgnli0D+L8RGSL4wQcSIKquNtaGZfH0SZMcH2Ok8Hhb\nU+tmhYe33wCBkT+7fDk7oLNMPH9/GaKpzsDojokTjfepJSNHArm5rh9vmYGYmnpzfNaJiIhUhoNL\n1dXVCAoKAgAEBQWh2s5fk5WVlQgPD2/eDgsLQ2Vlpe6YQ4cOISgoCEPUyqREREQ3ka1bZea2W9XH\nHwPR0S0fFxoKRERo29ZBucREbd0yM+ncOeDwYdv2HGUvzZ/fcl+8TZ3h7/Tp9hsgGDfO/cd4MkPO\nlSGUlr7+Gti0yf59JhNw+TJQUAD84Q+ut3n9OtCnj3v9cIe9umwAUFwMjB1ruz8mRlu3vB6MUNvq\n3Vu///Ll1rVLRETkiNPZ4sxmM6qqqmz2r1u3TrdtMplgsvPXk7191rKysjB37lynx/zmN79pXh83\nbhzGGfmLiIiIyAt69pTbrcrel2R7iov1AaE//lELvPz5z0BysgTqrINGAQHAvfdKZpRlXStA9k2Z\nAnz5pQQV0tIkiOVOgMFTli4Ffv1r+TLv5ydDIy2HSlp66ingP//T+LnCw4GKipaP++UvAas/2VrF\nUbDEVaGhgPo/xtJSfeDNlb5a/L+y2fnz+u30dNcDjH52/gquqQF69XLt8Y6YTPI5zs62f39wsH5b\nUeQxcXHAc8/JjJNPP+36+fz8gMxMYN48bd9f/gJ8841k+1mWNbXMELxZnD0LDBrk616ImBj5eUNE\ndLM6cOAADhw44J3GFYOGDh2qXLx4UVEURblw4YIydOhQm2OOHDmiTJw4sXl7/fr1SkZGRvP29evX\nlaCgIKWystLheVrRRSIiIvIhQFEefliWju7/+GNte/Fi2VddLUtAUWpqjJ23rW/Hjrnen6eecr3d\nc+cUZe1abTsmRlHq6hSlRw9t39Chto9bsUJRmpoU5cYNRXntNdv7f/97232XLyvKO+/Iem6uLF99\nVVEmTtTew4ULjb0+ubmK8vrr2rb6ugwcqG2vXi3rgYH6xz7yiNyv9sny5srrvXSp/T4piqJ88YXt\nPuvjwsLce65FRVpfrl2zvf/SJUUZM0bf//p6eb/c+SzX1sqyRw95nwFFiY7Wt9vUpH9MfX3bXA+u\n3gYMcH7/2bPuX9MbNxrvzw9+4Pi+997z3c8X3ni7GW90c/BkvMXw/6CSk5ORmZkJAMjMzMT06dNt\njhk5ciTKyspQXl6OhoYG7NixA8nJyc335+fnIzY2FiEhIUa7QURERO2YsyTm777TZz6ps+r16wf8\n61+y3p4yLfbskT+Z7XG0HwDWrjV+zvBw/cyEO3fKa/K3v8n2wIH2Zzx7/XV57Tt3Bn7wA9v7rbPA\nAKlb9OMfy3N54AHZ99RTMsxPfX5bt2rHL12qL+CuFq+291pERAA//al+n6JIVprqpZek3tZnn+mP\n+5//sW3PHWlp+m31tbNm3T/Vtm2yPHPG+XmmTpUhsiNGaPu6dZOsvcZGbZ+9z/Rtt7k+hDIlRZad\nO8tSfa8A4L/+C/jv/9a2Ldu0PE7tb1uyzuRbuhSIjHT+GHUorfp11RVJSW53rZmjf+Y/84w2A6g1\ne9cXEdGtyHBwac2aNfjwww8RHR2N/fv3Y82aNQCACxcuYOq/f1v5+flh06ZNmDhxIuLi4vDoo48i\nNja2uY0dO3awkDcREVEHFR8PLFkCzJhh//4uXfTbamADkKFJimJ7jBF/+lPr2wD0w8IGD9bW4+L0\nQ4+sWQaHBg1y/Hq4Qp3dbORIGRpXXg5s2ODaY3v2lIAeIEGHMWMkcPTqq7aBhx49gBMnnLf34IP6\nAu6Ww8wsAzXdukm/TSZg9mzH7XXqBOzdKwGz2loJyj37rG37tbUyrM46CGXNUUDC319bd6Xm0rhx\nwNy5LQ/NMpkAeyVEY2P1n51u3WRGRFeKfauBqtpaWaal2Q7bmzZNCyKNHeu4WPv+/fpgk3XQTdWz\np+P6VgBgNmvrWVm29+/cCfy7LGuzzp3lM9anj1aj7u23Zfje2bNawMyoH/7Q+f3r1sln4d+TVtvY\nvFmW6mdMnQlUDSjZC/z97neytJzp0hN+8hPPtkdE1GY8lgPlJTdBF4mIiKgdCQrSp+YfPeo4bd/P\nz/UU/0OHpH1AUfbt0/Zv2NByn9RjExNlu65OUfr2lX2RkYoyY4asV1XJsDDL4YKKoihTpyrKiy86\nbv/0aUVJSLA/HEEd+mXZl507W+6zIyEhtu394heKkpKi7V+1StZLSxXlH//Qjp09W//Y1FTXh0/s\n2WNsqMXhw/r38ZNPbNsBFOWnP9XW1duuXbbtpaXZ/3wsWOC8H0aGinz3naKcPCnr69cryvHjirJk\nibRz9aos6+rkfkdDSC3P29Cgbd+4IcM5Cwv1wyQnTbJ9HSxveXna+kcfaevq8EtFkb6dOCHbY8fK\nkMv6eq1PjY36Pj73nGvDatT9gYGKMm6crM+Yob/P+v0G5LVTffCB/fN89ZXWjvq81O1nnrHtg3pd\n7d+vb+uHPzQ+jAhQlOzs1j2eN97ay41uDp6Mt7SyNCMRERFR+2KZZaAojo9LTpZZyCZNAj75RApO\nO/L3v2vDXxoaJHtj9WrZfvhh9/vYtSswbJisl5RoxZ+7dpVCzNaF0nfvlqLXjkRHA8ePy+x91uLj\nJcPJUmtmseve3XZfRIQ2TAvQXsuoKKBvX8dtpafrC1E74+y9dMc998gQR1c4y4hZu1Z7vc+fd57t\nY1SXLtrn5Nln7WfIqcPsnE0soA4/9PeXoY6AvF933y3DyBYs0F5f68+G9RDKu+/W1i0GJOiGOHbv\nDgwfLoXt16yRIZe33abd31JxeOui59YeeUQb3mjZVp8++u1vv7V97OTJ+u2335almnVWWurabIbx\n8fKaWVb3+Oc/JROQiOhWxOASERERdSiWNW+cycmRL4Z79wKjR8sXVksDBsjy6FEZEqV+6bYcVgXY\nD7ZY27cPmDULWLxY26d+gfXzky/69fXem3lw4EDPteWoVs/GjcCRI7L+k59IkMyadYBo0iTg/fc9\n1zd71KDXqFHa9pQp+mPMZi2QpA6jbCmYFRSkDVMMDQVuv73lvrgyDK8lzzwDvPOO68dXVcnwR5Wd\nMqk6jgKP584Bly7Jcyguln39+8uwNkWRmRKtZWTYvtaunDMlxX5gzzpYNGqUFtx9/nm5JSXJTJJF\nRfKexMXJ0EZLv/2ttr50qf6+qCj5ufDii/b7qv5cUA0dCnz4oaz37t26wK0qMbH1bRARtTUGl4iI\niKhDycnRFwpuqWiwNbWob2IiEBAgmS72DB8uS1e+TJrNUovmiSe0fW++CVy+rG1bZnYY5UqgC2hd\nEOuVVyRDw1rfvsD3vy/rnTsDgYHGz2HPvfdKDS93JSVJhpFlnSxr+/ZpBclnzHAeWLLM3HHHgQNa\nvaHWiIyU+mSuCgqSz7EqNtbxc8jOlvdX9de/auvh4cCdd2ptfPGFrKtFt1vKRnLGOntt2jRg1y7b\n49QA3h13yLKgQLLfAOA//gNYtkz6MXmyFmQ+dUqfVQW0/Nns3FmfKbhqlbZuWcReZVkbzl4A8X//\n1/n5LClKy/XE7FGDp6qhQ7V16+AaAJSVuX8OV1nW5SKiWweDS0RERNSh3HabfkauwEAJOOXkSEFp\nR18sk5IkUBQVJW3s2AFcuOD4PHPnytAcZ8PpnPH3174ke0piomSSOHP+PDB+vPFzdO5sm6XSv79r\njx0zxn6Giyt695ZC2O4ymWSYoaeywhzNKteS++/3bGaa0QyZPn2AY8fs3zd7tn6om7NzxMfrtwcP\nBg4dMtan6GitUsvly8BDDzk+9vRpx1lFrpo/X2YndIWi6ANKLb3uAQHacwHk54l1cOv739fP6mfU\nmTPaEFrr2ezU4uWbNtmfITEyUmYxnDlTn8nlCfv22d9vL8hFRB0Hg0tERETU4UycqK9Pk5wst6ws\n2/pDqrQ0oKlJhsTU10uAqaVMoHHjPDMMxpPUTBJHQkM92+faWtfrTq1YYT/rqS28+qp3szXa2u23\nA59+6t1zuJoJB2gzELZWSwHX6GjXhiA606mTzLjYFu6/X863YIGWTfTQQ/rhtZaZZWpQ6v/+z3Gb\nanB48GDgz3+Wdetr2mSSgPn99+vbBbRMq06dgD/+UYZaWt7/5ZeSWQkYD55bUgPeal/bkrN/JhCR\nZzG4RERERB3OK69IgWtrnTtLgeKmprbvU0dl+cW4Peve3f0hko4kJnomkNJa3gyQ/P3vthk3HclD\nDwFXrrj/OHuB2SFDbGuxAVIbSy38//vfA2+9Jetr1+qPsxd0uesuYOVKbXvePAnOjh4NbNum7VeH\nKgYF2bZRWKjVBbPulyNZWRIEW75ctmfOBE6ccHy8teho/fb48VrA23Lo7+zZsiwpkaGL7lq3zrXj\nBg4EJkyQTDvL19mTdeiISPj5ugNEREREba29ZRvRzUWtiWNvNrKOYtAgWd51F/CPf/i2L95iPROe\nK9atA06e1O8LCZFZJK25UhvLur6XZcbl2rUy5PTnP5eaV+pQvosXtWM6dZLi+a4MN506VWZKdPTz\n7+OP7QcUhw8H6uqAbt2ct//GG5I1qjpzRqt1Vl0tGWfr1wO/+IUMO373Xfey4yxZ1vgaPFiCofbs\n3q0ftvvddzLz59Sp0iejQzn37HE8uYE39esn77/l7JxE7QUzl4iIiIiIDOjevWMHmADgo49sgym3\nsoceAp56ythjk5K0bCR7AZ7CQn3mT48eWuaTM4GB0t6TTzo/bvduyXYbPdr+/WPHyuyV9nTtKsPn\nLGe8tFRVJbNEqv1XFH0RfbVulToTnsmkDyxZBtlSU2XprC7VsGGy3L/feS0n63pwXbpIzbH58yWY\n5qx4v3XALitL6vB98YVrsyA6c/SoscelpbWueH5L1FlMVUZnLrQsck+3DgaXiIiIiIgMam39n/au\na9eWM1bINQEBwGuvyfrUqZK9o6qrc70OUN++wNNP2+5/5RUJgDjz6ae2AQRX/fa3wJYtsj5tmv4+\nT80OOXy4FhBKSZFMo/x8uf3hD1rh8vvvl8DQAw9IxpTlRAbZ2UBYmLEAx3ffaesffaStf/GFBL36\n99eK2Q8Z4rytykpt3TpDy94spEVFztuLiQE2bJB1TxdhB6R+XmGhfp+7Wb719bLMzvZMn+jmwuAS\nERERERFRG+raVYInltvOWM7i5+cngSR7bT76qP16c0Y5Cp4++KC2XlvrOOPJWliY8/tNJhn+V1kp\nQ7+6dJG6TePHA+npwHvvSVDJckhj9+76iQxmzwa++kqGC7pLDUgtWwaMGKHtt54dEdC/Z+oQyF//\n2n67J08Chw8DxcWOz215PnvUjC5A/9mxDvS9+67jNr75Rl5HewICgF69gJoaeQ/uvVc/WYN1PS1r\na9dqdbU8OTMm3TxMiuIsGdD3TCYT2nkXiYiIiIiIvKKpSYIubV0r7tQpqb1lHWD68ksp+r10KfC7\n3zkfWuYOk0lqThkNjqmvj7v9sXxdFUW2V62SLCFnbT78sNReAmR4bGWlDD1Uh01WVsrQuupqfQHx\nr7+W7bo6yVZ67DGpGaWe2x7r8//zn0CfPrL/7Fn9EES1fUftXLliOxHD9euOA4RqnxYvlmGIO3cC\nd98twyBNJskcA4Br1yTL0WQCDh4E7rvPfnvUvngy3sLMJSIiIiIionaqUyffTEIQH28/cykmRvoT\nE+P5c/bpY/yxCxcCf/qT+4+bNct2X0iILPfudfy4997Tjrv9dhlumJYmATdV1662gR51u1s3qX+V\nnm6/D5cuOT53YKAEhAAJAG7ZIllr9pw6BbzwguO2AOeZZ2qW2H33SZH2xETg9Glg40a5AVJzy3L4\nLHNDbk3MXCIiIiIiIiK3KIrMkuep4s0VFcAdd8jQrLaUlgZs2ybriiJZQb16uTYjW1OTvAbWwxpN\nJslcUoNPrlKDiK5kTlk7d04CV5aZS5mZ8vzq6iQgNGIEcPWqvM7XrklQ7Ec/0p6/Pc89B7z4otS8\nsjek7r77pCaWOiTOZAL+9jfnhdap/WDmEhEREREREfmMyeTZWcHCw9s+sGRJnW0vMNC1wBIgWWUt\n1csyQp2Vz3r4mjMDBshSUbSaWGlpsuzWzbamk5ppNHu283bnzZP3xtFxH3+sBZZUzA25NblYeo2I\niIiIiIioY1EDIa++6p123RUSIjWtACmsXVPjfhtLl8pwuZbs3QuYzc6PiYmRrCh3+GIYJ/keg0tE\nRERERER0S/NkFlZrWNa5WrbMWBuzZ7eckQQAkyYZa9+ZffuAsWM93y61fwwuERERERER0S3pl7/0\n/Mxm+fnu11tStWaY3ZIlQP/+zo/xdlZRS5lQ1HGxoDcRERERERGRj50+LcW2jQamXPHttzIDHL9i\nE+DZeAuDS0RERERERES3gPp6yY7iV2wCOFscEREREREREbmpSxfgyhVf94I6ImYuERERERERERHd\nYpi5RERERERERERE7QKDS0REREREREREZBiDS0REREREREREZBiDS0REREREREREZBiDS0RERERE\nREREZJjh4NKlS5dgNpsRHR2NCRMmoKamxu5xeXl5iImJQVRUFF5++eXm/YWFhRg1ahQSEhKQy7TU\nsQAACDNJREFUlJSETz/91GhXiMgLDhw44OsuEN2yeP0R+QavPSLf4LVHdPMzHFzKyMiA2WxGaWkp\nxo8fj4yMDJtjGhsbsXz5cuTl5aG4uBhZWVkoKSkBAKxevRpr165FUVERXnjhBaxevdr4syAij+Mv\neSLf4fVH5Bu89oh8g9ce0c3PcHApNzcX6enpAID09HTs2rXL5pjCwkJERkYiIiIC/v7+SE1NRU5O\nDgCgf//+qK2tBQDU1NQgNDTUaFeIiIiIiIiIiMhH/Iw+sLq6GkFBQQCAoKAgVFdX2xxTWVmJ8PDw\n5u2wsDAUFBQAkMynMWPGYNWqVWhqasKRI0eMdoWIiIiIiIiIiHzEaXDJbDajqqrKZv+6det02yaT\nCSaTyeY4e/tUixYtwhtvvIFHHnkEO3fuxMKFC/Hhhx/aPdZZO0TkPc8//7yvu0B0y+L1R+QbvPaI\nfIPXHtHNzWlwyVGwB5BspaqqKgQHB+PixYvo16+fzTGhoaGoqKho3q6oqEBYWBgAGTKXn58PAJg1\naxYWL15s9zyKorT8LIiIiIiIiIiIyCcM11xKTk5GZmYmACAzMxPTp0+3OWbkyJEoKytDeXk5Ghoa\nsGPHDiQnJwMAIiMjcfDgQQDA/v37ER0dbbQrRERERERERETkIybFYGrQpUuXkJKSgnPnziEiIgLZ\n2dno1asXLly4gMcffxx79uwBAOzduxcrV65EY2MjFi1ahGeffRYAcOzYMTz55JOor69Ht27dsHnz\nZiQkJHjumRERERERERERkdcZzlzq3bs38vPzUVpain379qFXr14AgJCQkObAEgBMnjwZp0+fxldf\nfdUcWAIkq6mgoAAnTpzAkSNH7AaW8vLyEBMTg6ioKLz88stGu0pEdlRUVOCBBx5AfHw8vve97+GN\nN94AIIFjs9mM6OhoTJgwATU1Nc2PeemllxAVFYWYmBjs27fPV10n6hAaGxuRkJCAadOmAeC1R9QW\nampqMGvWLMTGxiIuLg4FBQW89ojawEsvvYT4+HgMGzYMc+fORX19Pa89Ii9YuHAhgoKCMGzYsOZ9\nRq61zz77DMOGDUNUVBRWrFjh0rkNB5e8rbGxEcuXL0deXh6Ki4uRlZWFkpISX3eLqMPw9/fHa6+9\nhlOnTuHo0aN46623UFJSgoyMDJjNZpSWlmL8+PHIyMgAABQXF2PHjh0oLi5GXl4eli1bhqamJh8/\nC6Kb18aNGxEXF9c8aQWvPSLvW7FiBaZMmYKSkhKcPHkSMTExvPaIvKy8vBxbtmzB8ePH8fnnn6Ox\nsRHbt2/ntUfkBQsWLEBeXp5unzvXmjqw7YknnsDWrVtRVlaGsrIymzbtabfBpcLCQkRGRiIiIgL+\n/v5ITU1FTk6Or7tF1GEEBwdjxIgRAIAePXogNjYWlZWVyM3NRXp6OgAgPT0du3btAgDk5ORgzpw5\n8Pf3R0REBCIjI1FYWOiz/hPdzM6fP48PPvgAixcvbv4lzmuPyLtqa2tx6NAhLFy4EADg5+eHnj17\n8toj8rKAgAD4+/vj2rVruHHjBq5du4aQkBBee0ReMHbsWNx55526fe5cawUFBbh48SKuXLmCUaNG\nAQDS0tKaH+NMuw0uVVZWIjw8vHk7LCwMlZWVPuwRUcdVXl6OoqIi3HPPPaiurkZQUBAAmRWyuroa\nAHDhwoXm2R4BXpNErfGzn/0MGzZsQKdO2q9hXntE3nX27Fn07dsXCxYsQGJiIh5//HF8++23vPaI\nvKx37954+umnMWDAAISEhKBXr14wm8289ojaiLvXmvX+0NBQl67BdhtcUocJEJF3Xb16FTNnzsTG\njRtxxx136O4zmUxOr0Vep0Tu2717N/r164eEhAQ4mlOD1x6R5924cQPHjx/HsmXLcPz4cXTv3r15\naICK1x6R5505cwavv/46ysvLceHCBVy9ehXvv/++7hhee0Rto6VrrTXabXApNDQUFRUVzdsVFRW6\n6BkRtd7169cxc+ZMPPbYY5g+fToAiWZXVVUBAC5evIh+/foBsL0mz58/j9DQ0LbvNNFN7vDhw8jN\nzcWgQYMwZ84c7N+/H4899hivPSIvCwsLQ1hYGJKSkgAAs2bNwvHjxxEcHMxrj8iLjh07htGjRyMw\nMBB+fn6YMWMGjhw5wmuPqI248zdmWFgYQkNDcf78ed1+V67BdhtcGjlyJMrKylBeXo6Ghgbs2LED\nycnJvu4WUYehKAoWLVqEuLg4rFy5snl/cnIyMjMzAQCZmZnNQafk5GRs374dDQ0NOHv2LMrKyprH\n4RKR69avX4+KigqcPXsW27dvx4MPPoht27bx2iPysuDgYISHh6O0tBQAkJ+fj/j4eEybNo3XHpEX\nxcTE4OjRo6irq4OiKMjPz0dcXByvPaI24u7fmMHBwQgICEBBQQEURcG2bduaH+OMn1efRSv4+flh\n06ZNmDhxIhobG7Fo0SLExsb6ultEHcYnn3yC999/H3fddRcSEhIAyFSUa9asQUpKCrZu3YqIiAhk\nZ2cDAOLi4pCSkoK4uDj4+flh8+bNTFEm8gD1OuK1R+R9b775JubNm4eGhgYMGTIE7777LhobG3nt\nEXnR8OHDkZaWhpEjR6JTp05ITEzEkiVLcOXKFV57RB42Z84cHDx4EN988w3Cw8PxwgsvGPobc/Pm\nzZg/fz7q6uowZcoUTJo0qcVzmxRHBR+IiIiIiIiIiIha0G6HxRERERERERERUfvH4BIRERERERER\nERnG4BIRERERERERERnG4BIRERERERERERnG4BIRERERERERERnG4BIRERERERERERn2/5bijTyT\noYioAAAAAElFTkSuQmCC\n"
},
{
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAABJcAAAE1CAYAAABa5QGqAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nRK5CYII=\n"
}
],
"prompt_number": 42
},
{
"cell_type": "markdown",
"metadata": {},
"source": "The flame has been applied at time 300. Note the delay in the propagation of the signal which is about 2 minute (120 secs)"
}
],
"metadata": {}
}
]
}
Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment