{ "metadata": { "name": "development-correlation-functions" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "### QuTiP development notebook for testing correlation functions\n", "\n", "Copyright (C) 2011 and later, Paul D. Nation & Robert J. Johansson" ] }, { "cell_type": "code", "collapsed": false, "input": [ "%pylab inline" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 1 }, { "cell_type": "code", "collapsed": false, "input": [ "from qutip import *" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 2 }, { "cell_type": "code", "collapsed": false, "input": [ "import qutip.settings\n", "qutip.settings.debug = False" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 3 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Visualization" ] }, { "cell_type": "code", "collapsed": false, "input": [ "def plot_correlation(taulist, d_list):\n", " \n", " fig, axes = subplots(len(d_list), 2, sharex=True, sharey=False, figsize=(12, 4*len(d_list)))\n", " \n", " for idx, d in enumerate(d_list):\n", " axes[idx,0].plot(taulist, real(d), label=\"data %d\" % idx)\n", " axes[idx,1].plot(taulist, imag(d), label=\"data %d\" % idx)\n", " \n", " axes[0,0].set_title(\"real\")\n", " axes[0,1].set_title(\"imag\")\n", " \n", " axes[idx,0].set_xlabel(r'$\\tau$')\n", " axes[idx,1].set_xlabel(r'$\\tau$'); " ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 4 }, { "cell_type": "code", "collapsed": false, "input": [ "def plot_correlation_2t(t1_list, t2_list, d_list):\n", " \n", " fig, axes = subplots(len(d_list), 2, sharex=True, figsize=(8, 4*len(d_list)))\n", " \n", " T1, T2 = meshgrid(t1_list, t2_list)\n", " \n", " for idx, d in enumerate(d_list):\n", " axes[idx,0].pcolor(T1, T2, real(d), cmap=cm.RdBu, vmin=-abs(d).max(), vmax=abs(d).max())\n", " axes[idx,0].autoscale(tight=True)\n", " axes[idx,1].pcolor(T1, T2, imag(d), cmap=cm.RdBu, vmin=-abs(d).max(), vmax=abs(d).max())\n", " axes[idx,1].autoscale(tight=True)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 5 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Model problem: Harmonic oscillator" ] }, { "cell_type": "code", "collapsed": false, "input": [ "N = 20\n", "w0 = 2 * pi\n", "G1 = 0.75\n", "n_th = 2.00\n", "taulist = linspace(0, 10.0, 500)\n", "\n", "# operators and hamiltonian \n", "a = destroy(N)\n", "H = w0 * a.dag() * a\n", "c_ops = [sqrt(G1*(1+n_th)) * a, sqrt(G1*n_th) * a.dag()]\n", "\n", "# initial state\n", "rho0 = thermal_dm(N, 4.0)\n", "rho0 = coherent_dm(N, sqrt(4.0))" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 6 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## operator $a$" ] }, { "cell_type": "code", "collapsed": false, "input": [ "A = a.dag()\n", "B = a\n", "n = mesolve(H, rho0, taulist, c_ops, [A * B]).expect[0]\n", "corr = correlation(H, rho0, None, taulist, c_ops, A, B)\n", "plot_correlation(taulist, [n, corr])" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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5GwHQgOLiYkVHR0uSoqOjVVxcXKtMYWGh4uPjKx/HxcVpzZo1tcr99a9/1ejR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} ], "prompt_number": 7 }, { "cell_type": "code", "collapsed": false, "input": [ "corr = correlation(H, rho0, None, taulist, c_ops, A, B, reverse=True)\n", "plot_correlation(taulist, [n, corr])" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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AEIlCPmVCkn74QerZUyoslNq1s7BhANAEJ6YPOLHPACJHRKZMSFLnzlJ6ujnKGQAAALBS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\n9ZU0eHDdxy64wMwSAwgtlgTEF154oU4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M+JI/LJl9Gbds8e+gDF9miDt1Mico+TMo7Ntn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} ], "prompt_number": 8 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### operator $x$" ] }, { "cell_type": "code", "collapsed": false, "input": [ "A = a + a.dag()\n", "B = A\n", "n = mesolve(H, rho0, taulist, c_ops, [A * B]).expect[0]\n", "corr1 = correlation_ss(H, taulist, c_ops, A, B, rho0=rho0)\n", "corr2 = correlation_ss(H, taulist, c_ops, A, B, rho0=rho0, reverse=True)\n", "plot_correlation(taulist, [n, corr1, corr2])" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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AiD5hD8jNKbE4fFjq29c8t1qlqqrQtQsAAADRKSICsr89yARkAAAAhFpAAXn27NmyWq1K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\ntNkKB0MAAAAASUVORK5CYII=\n" } ], "prompt_number": 9 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### operator $p$" ] }, { "cell_type": "code", "collapsed": false, "input": [ "A = -1j*(a + a.dag())\n", "B = A.dag()\n", "n = mesolve(H, rho0, taulist, c_ops, [A * B]).expect[0]\n", "corr1 = correlation_ss(H, taulist, c_ops, A, B, rho0=rho0)\n", "corr2 = correlation_ss(H, taulist, c_ops, A, B, rho0=rho0, reverse=True)\n", "plot_correlation(taulist, [n, corr1, corr2])" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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AiD5hD8jNKbE4fFjq29c8t1qlqqrQtQsAAADRKSICsr89yARkAAAAhFpAAXn27NmyWq1K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\nHIwePVpxEJONLBQXF3fz3+Hh4QgPD7d7fps29gXy2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} ], "prompt_number": 10 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### operator $i a$" ] }, { "cell_type": "code", "collapsed": false, "input": [ "A = 1j * a\n", "B = a.dag()\n", "n = mesolve(H, rho0, taulist, c_ops, [A * B]).expect[0]\n", "corr1 = correlation_ss(H, taulist, c_ops, A, B, rho0=rho0)\n", "corr2 = correlation_ss(H, taulist, c_ops, A, B, rho0=rho0, reverse=True)\n", "plot_correlation(taulist, [n, corr1, corr2])" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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ARcJtDAu36/UXt1tasUL6/e+l2Fjp8celCy+0Oyog/LTozoYAAMB3Doc0apT0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\n" } ], "prompt_number": 11 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Test and compare different solvers" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Compare mesolve and essolve solvers" ] }, { "cell_type": "code", "collapsed": false, "input": [ "A = a.dag()\n", "B = a\n", "\n", "A = 1j * a\n", "B = a.dag()\n", "\n", "n = mesolve(H, rho0, taulist, c_ops, [A * B]).expect[0]\n", "\n", "corr1 = correlation(H, rho0, None, taulist, c_ops, A, B, solver=\"me\", reverse=True)\n", "corr2 = correlation(H, rho0, None, taulist, c_ops, A, B, solver=\"es\", reverse=True)\n", "\n", "plot_correlation(taulist, [corr1, corr2])" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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ZWfrHBeQNok8f37vZuVJVHjFzJnDNNf5dqr3gAuCBB6ouqNPrxx8lsJ482fMx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23bhv3796Ndu3YAgAMHDqBDhw5Yt24d6tata3rc7t2lU8RDDwFpaQyCiajiCJjSCNYIExFZo3Xr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\n" } ], "prompt_number": 12 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Compare the mesolve and mcsolve solvers" ] }, { "cell_type": "code", "collapsed": false, "input": [ "A = a.dag()\n", "B = a\n", "psi0 = coherent(N, 3.0)\n", "\n", "n = mesolve(H, rho0, taulist, c_ops, [A * B]).expect[0]\n", "\n", "corr1 = correlation(H, psi0, None, taulist, c_ops, A, B, solver=\"me\", reverse=False)\n", "corr2 = correlation(H, psi0, None, taulist, c_ops, A, B, solver=\"mc\", reverse=False)\n", "\n", "plot_correlation(taulist, [corr1, corr2])" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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7djkzHhGFn4AHwvXrOxMIHz4MxMdXfh/LI4iIzDESCLtcsmNoTo7+8XNz5XkTEsrezgXQ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} ], "prompt_number": 13 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Test and correlation solvers for two time coordinates" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Compare mesolve with and without reverse flag set" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# use a small delay time range for 2t correlations\n", "taulist = linspace(0, 2.5, 50)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 14 }, { "cell_type": "code", "collapsed": false, "input": [ "A = a.dag()\n", "B = a\n", "psi0 = coherent(N, 3.0)\n", "\n", "corr1 = correlation(H, psi0, taulist, taulist, c_ops, A, B, solver=\"me\")\n", "corr2 = correlation(H, psi0, taulist, taulist, c_ops, A, B, solver=\"me\", reverse=True)\n", "\n", "plot_correlation_2t(taulist, taulist, [corr1, corr2])" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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DjEL2Jfv1hoiVt9xu+jRmNQ4cb2zb+z4rjoeA9so29Fsr3iPX9ZRx7OXRmB0t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\nkrXQgtbWLIORlqff3OIMpiAX32wnGyd49TutOxv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oe/fulfXr18vx48draF06utl/aQil\n/86dOyf333+/bN26VWbOnOnsD6Efk9rY7X4MfTxfCWNZJIzrMIlQ+vBqG8+l3TH3Qp5kmjbOmjVL\nBgcHRURkzZo10mw25ezZs7W1MYlu918aQui/ZrMp9913nzz44IOyfv16Z38I/Wi1sdv9GPp47vWx\nLBLGdWgRQh9ejeO5tIW5F/Ik07TxzJkzk/99HT16VKIokrlz59bWxiS63X9p6Hb/RVEkGzZskCVL\nlsiTTz7pPabb/Zimjd3ux9DHc6+PZZHuX4dp6HYfXq3jubSfsnshTzJNG3ft2iXbt2+XgYEBGRwc\nlJ07d9bWvgceeEAOHDggH330kSxcuFCefvppaTabk23rdv+laWM3+09E5ODBg/L666/LrbfeKiMj\nIyIismXLFvnggw8m29jtfkzTxm73Y+jjOfSxLMJ4LoOrdTw3om6G3AEAAECM0n7KBgAAgOKwMAMA\nAAQECzMAAEBAsDADAAAEBAszAABAQLAwAwAABMT/D53NT+A1J7gfAAAAAElFTkSuQmCC\n" } ], "prompt_number": 15 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Compare mesolve and eseries solvers" ] }, { "cell_type": "code", "collapsed": false, "input": [ "corr2 = correlation(H, psi0, taulist, taulist, c_ops, A, B, solver=\"es\")\n", "plot_correlation_2t(taulist, taulist, [corr1, corr2])" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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hnSNGJH7S+Kbe7XmJlXecNY+5lrFq6PVaDvb52PdZOrZ+S30Ja7nYmLvL4MofNXG4YwYA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\nkrXQgtbWLIORlqff3OIMpiAX32wnGyd49TutOxv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oe/fulfXr18vx48draF06utl/aQil\n/86dOyf333+/bN26VWbOnOnsD6Efk9rY7X4MfTxfCWNZJIzrMIlQ+vBqG8+l3TH3Qp5kmjbOmjVL\nBgcHRURkzZo10mw25ezZs7W1MYlu918aQui/ZrMp9913nzz44IOyfv16Z38I/Wi1sdv9GPp47vWx\nLBLGdWgRQh9ejeO5tIW5F/Ik07TxzJkzk/99HT16VKIokrlz59bWxiS63X9p6Hb/RVEkGzZskCVL\nlsiTTz7pPabb/Zimjd3ux9DHc6+PZZHuX4dp6HYfXq3jubSfsnshTzJNG3ft2iXbt2+XgYEBGRwc\nlJ07d9bWvgceeEAOHDggH330kSxcuFCefvppaTabk23rdv+laWM3+09E5ODBg/L666/LrbfeKiMj\nIyIismXLFvnggw8m29jtfkzTxm73Y+jjOfSxLMJ4LoOrdTw3om6G3AEAAECM0n7KBgAAgOKwMAMA\nAAQECzMAAEBAsDADAAAEBAszAABAQLAwAwAABMT/D53NT+A1J7gfAAAAAElFTkSuQmCC\n" } ], "prompt_number": 16 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Two time version with steady state" ] }, { "cell_type": "code", "collapsed": false, "input": [ "A = a.dag()\n", "B = a\n", "\n", "taulist = linspace(0, 2.5, 50)\n", "\n", "corr1 = correlation(H, None, taulist, taulist, c_ops, A, B, solver=\"me\")\n", "corr2 = correlation(H, None, taulist, taulist, c_ops, A, B, solver=\"es\")\n", "\n", "plot_correlation_2t(taulist, taulist, [corr1, corr2])" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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HZzAvX75cg4ODGhoa0sTEhI4fP66GhgbXmtHR0ejfpfr6+uQ4jnJzc5PXMYC7xiwD6cPz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\nYII=\n" } ], "prompt_number": 17 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### High-level correlation functions (optical coherence functions)" ] }, { "cell_type": "code", "collapsed": false, "input": [ "N = 20\n", "w0 = 2 * pi\n", "kappa = 0.75\n", "n_th = 2.00\n", "taulist = linspace(0, 10.0, 500)\n", "a = destroy(N)\n", "H = w0 * a.dag() * a\n", "c_ops = [sqrt(kappa*(1+n_th)) * a, sqrt(kappa*n_th) * a.dag()]" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 18 }, { "cell_type": "code", "collapsed": false, "input": [ "# steady state initial condition\n", "g1, G1 = coherence_function_g1(H, None, taulist, c_ops, a)\n", "g2, G2 = coherence_function_g2(H, None, taulist, c_ops, a)\n", "plot_correlation(taulist, [g1, G1, g2, G2])" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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jGQBsNmsTIACwciVw443yfc+ewC+/WBucE1HVYipY1rJYBAAcOldbOHfwU71Io7RUul6U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7u2devk55BID9PB8ty5c/HBBx+gT58++OijjzB37lwAwIEDBzBu3DgAQGlpKYYNG4YBAwYgLS0N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\n41m6dCkAhYWFdOkS/ashPz+f6urqjgtekuJQcqw3SEpK4sILL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5GUlNSj3+zZs5GTk+NS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\nAAAASUVORK5CYII=\n" } ], "prompt_number": 19 }, { "cell_type": "code", "collapsed": false, "input": [ "rho0 = coherent_dm(N, sqrt(4.0))\n", "g1, G1 = coherence_function_g1(H, rho0, taulist, c_ops, a)\n", "g2, G2 = coherence_function_g2(H, rho0, taulist, c_ops, a)\n", "plot_correlation(taulist, [g1, g2])" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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prVoZO1Z1Zjk1VX7m/jbY6t9fFlardvCgrDu5667St99zj2x+pbIunKgiAR0s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\nj83X3L75pmT3Hn7Y/Ljx8VJ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d4MbKxiRHjtgPliMiJFA3OqdfuCCJFxVdGjwe46UYKuuV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\nrdhbQlfuAAAAAElFTkSuQmCC\n" } ], "prompt_number": 20 }, { "cell_type": "code", "collapsed": false, "input": [ "rho0 = thermal_dm(N, 4.0)\n", "g1, G1 = coherence_function_g1(H, rho0, taulist, c_ops, a)\n", "g2, G2 = coherence_function_g2(H, rho0, taulist, c_ops, a)\n", "plot_correlation(taulist, [g1, g2])" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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O3Z40aZJ7J2OSE3P2s88CV10V/Hu6kVn2eIDERNnJr317/WN7vfoq8MADwKhRQLduwBNP\nSHclIgoPOuZsW2UYSUlJyPe5zpWfn4/k5OQKxyQkJKDuTx/rBw8ejDNnzuCggWtVDRrI5T2dQpVh\nNG/ubGZ57dqqwXr37hJEExE5TfecrZSxMgwnM8vBrha2bCkBtVNKS4GPPwZuuAFISpJgeeFC58Yj\nInfYCpb79u2LvLw8bN++HSUlJXj33XcxdOjQCscUFhaeq39bvnw5lFJoEmq7JwAJCe4Ey/v36x3T\n1w8/VA2We/RgsExE1UP3nH38OHDeeaHLyJzMLAcqwwDKM8tO+fFHeW3ezPXgwcD8+c6NR0TusFWG\nER8fjxdeeAFXXXUVSktLcccdd6Bz586Y9tNuG+PHj8cHH3yAl156CfHx8ahbty5mzZpl6Hs7VYYR\nrM+yk5llpYCNG4FOnSre37Ur8J//ODMmEZEv3XO2kU4YQHmwrLvDUbAyDECCZSczy99+C1x0Ufnt\nAQOABx90bjwicodHmW1V4cRJeDxVVl/ffrssmLj9dn3j1K0rwXC9ev4fP3wYSE7WH6QDMmF361Y1\nc71ypbzGtWv1j0lEzvM3f0U772vOzQVuvNHYWo969STLq3PRdno68MknVZMQXg8/LFnvRx/VN6av\nsWOB/v2Bu++W2ydOSNLlwAHJuBNR+LEyZ4flDn6A/pplbxu6QIGyd8ySEuDUKX3jem3eLBN7Zamp\n0k4uxt5riSgKGM0sA86UYhgpw3Ays7xmjXQ48qpbV+Z5ltYRRZewDZZ11yyH2pAEkMuDTrWPy8vz\nHyw3bCgZCCfr6oiInHD4cOjFfV6NGuld5HfypLSGS0gIfEzLls7NraWlwIYNVTsZde0K5OY6MyYR\nuSNsg2XdNcsHDgBNm4Y+zqlFftu2BW5flJoKbNmif0wiIicdOWI8s6y7I8b+/ZLcCFYD7eQCvy1b\nJBivXFbSubOzLUiJqPqFdbCsM7N86BBgoAmHY4v88vNl+1V/GCwTUSQyU4bRsKHeOd1IAsTJMozc\nXP/98TMyJONMRNEjZoLlgwfdD5Z9Ns6qwFu3TEQUScwEyw0ayPG6eDPLwThZhrF1K5CWVvV+ZpaJ\nok/YBsu6a5YPHZLLgKE4VbMcKliujszyqlXS53niRC4oJCL7zNQsu5FZTkiQ2uJjx/SN67V1K9Ch\nQ9X709JkC/CSEv1jEpE7wjZYdiKzbCRYdiKzrJT7wXJZmbSomzABWLQIePddZ8cjouhnpmZZ95xu\nJLPsu+W1boGC5dq1peRu82b9YxKRO8I6WNa5wM9MzbLuBX4HDsgEGqi/aIcOsgDQSV99JW8cEyYA\nf/kL8M9/OjseEUU/N8sw3F60vXVr4EXbLMUgii5hHSy7UYbRpIlkoXUKllUGpK7uwAFnL9vNmgXc\neqsEzNdcI5cJnQ7QiSi6uVmGYSSzDMgxuoPlsjJg+/bAwXLHjsCmTXrH9OfAAeCFFziXEzktbINl\n3TXLRhf4uREsx8XJpcI9e/SO66UUMH8+MGxY+XjXXgvMnu3MeEQUG44cMR4s606AGM0sOxEs794t\nyZe6df0/npIiCQknlZUBQ4cCc+YAF1+sty0fEVUUtsFyLGWWAdlme9cuveN65eVJRtl35fbVVwML\nFjgzHhHFhqNHg28K4qthw+rvhgHIMQcO6BsXCFyv7JWSIplnJ338sew2m50tyY9//MPZ8YhiWdgG\ny+edJ6uYdZUmhHNmGZDHnQqWv/4auOyyis37BwwAvvlGshNERFaYCZbdyiw3bao/s7xtW+hg2enM\n8quvAr/+NVCjhvx3+nTg7FlnxySKVWEbLHs8ehf5xXJmeflyoH//ive1bClvItyWlYisOnbMvWDZ\nzZrlYIv7AKBdOwmWnWrReeSIdDXyltZ16QK0agUsXuzMeESxLmyDZUBv3bLR1nEJCXJpS+diuz17\ngNatgx/jZLD83XdA375V7+/TB1i92pkxiSj6uVmGceCAe8Hyrl3BEyD16wP16gFFRXrH9fr6a6Bf\nv4r14tdeC8yd68x4RLEurINlXZmIkhLg9Gljk7rHI0G1zsUSe/dKJjcYp4LlM2ekhVGvXlUf69VL\nNiohIjJLKQmWA7XErExnZvn0afkyMrYTNcsFBUBSUvBj2rVzrm55yRJZ1Odr0CCuQyFySkwEy4cO\nAY0aVazZDUZ3KUZhoXvB8pYtMqnXqVP1sV69mFkmImtOngRq1pQvI3QGy96sspE53YnMckFB6KuF\nTtYtL1kCXHRRxfv69JHEyIkTzoxJFMvCPljWUbNsdEMSL53B8unT8hpCje9UsJybK/Vs/mRmSrDM\nra+JyCwzJRiALNouK5M50a79+40t7gOcWeBnJLPsVEeMM2eA77+vug7lvPOAbt2AFSv0j0kU68I6\nWNZVs2y0XtlLZ7BcVCQ7SNUI8ZNu1Uoy0LpXM69fL7tJ+ZOYCNSqJQsQnVRWJm2NJkxwrpc0EVUv\nM4v7gPJF27rmdKMJkKZN5XhdSYGTJ4Hjx0PXSzsVLK9dKyUejRpVfeyCC4Bvv9U/JlGsC+tgWWcZ\nhluZZSP1yoBcymzaVAJmnYJllgHJLjtdtzxlCvD++1IKMmiQszsVElH1MJtZBvTO6UYTILVqyeYh\nuhYXekswQpWAtGnjTCJi2TIJiv258EIGy0ROiIlg2c3MspF6Za9WrSS41ilYZhkAunaVY5xSVAQ8\n9ZQEy089JeUmr77q3HhEVD3MLO7z0tURw0ywDOitWzZSggHIMQUFesb09eOPQPfu/h+78EJg6VL9\nY/pTVKT//YooXIV9sKyjZrm42P8lq0DcyCwDcpzOyaesDNi4EcjICHxMp05yjFPefBO4/nqgbVvJ\nxPz5z8Azz3AzFKJIFymZZcC9YNmJdSg//ihJDn/atpUykX379I/r68MP5X2la1fg7bedHYsoHIR1\nsKyrZvnwYXeD5cREY8fqzizv2CFvKL69OCvr1AnYsEHfmJXNmAGMHVt++6KLgPh4LkIhinSRFCw3\nbaqvfZzRYLlFC0nU6FjQ6CtYsOzxSNb5hx/0jumrqAgYPx74/HPp93z//c7vVkjktrAOlnVNrMXF\ncvnPKDczyzoXwG3eDHTsGPyYjAzJLDvREWPzZnmD8m1x5PFIpvl//9M/HhFVH7ML/ACZh2MlsxwX\np39OLyqSReDB3lO6dQPWrdM3ZmXPPAOMHCmt6rp0kYXbjz/u3HhE4SAmguXDh90Lls3ULOsuw9i2\nLfiWrED5im7drZUA2U3qmmuqdgJhsEwU+axmlnXVLJu5WuhGsAzor1vOzZWscrDFhU5mlsvKgLfe\nAu69t/y+++6TNSk6N/IiCjcxEyzHYs3y1q1Ahw7Bj/F4nKtbXrQI+NnPqt5//vkysebl6R+TiKqH\nlQV+0VCzvGePlMwZoTtYDlaC4dW9u3OZ5W+/lfdH30XjiYnA5ZcDc+Y4MyZROAjrYDkhQc8CPzcz\ny2ZrlnVesjMSLAPO1C0rJfVsl1xS9bEaNYCBA4Evv9Q7JhFVHyuZZV1lGMXF7tUsFxUZn9OdyCwH\nawUKSBnGjz86s4j6vfeAm26qev/w4bxaSNEtrIPlaKhZLiqShR5GuFGGAZTXLeuUlyd9ldu29f/4\ngAESTDuptBT43e/k5zpihN4tzIlinZWaZZ1lGG5llgsL3QuW8/JCr0PxLureuVPfuIAkQD78UObS\nyq69VpIf3GqbolVMBMtmyzAaNpSsSWmpvXFPn5bJw+jY3mBZ12I7o5nltDRgyxY9Y3oFyip7VUew\nPGmSXDZcvFg+sIwYwZZ1RLq4mVl2K1g+dUpasxmd03W3j9u8WebrUJxIgGzdKu9N/vr2N2ki5XWf\nfaZ3TH9OnZIykzNnnB+LyCusg2WdrePMZJbj4iRQLy62N+6BAzJJh9rpyat+fSlR0FV6cvq0bLUd\nSocO+oPlb74BLr448OMdO8r5OdVyKC8PeOklWXiSmgo8/7y8yb31ljPjEcUat1rHKeXeAj/vlUKj\nc7rOzHJJiXyvdu1CH9uxI7Bpk55xvRYuBC69NPBrHzwY+OILvWNWtmYNkJ4uZR9du8qHB6LqEPbB\n8tGj9jOtZsswAD2lGPv2lXebMEpXKYa3BMPIpJ6aWp410GXFCqBfv8CPezySeXYquzx1qqzS9i6u\njIsDnnwSeOIJZpeJdLC6wM9uGcaJE/L3fN55xp/TrJmemmUz9cqA3mB5xw75frVqhT62Y0f9meVF\niyRYDiQrC8jJ0Tumr8OHgWHDZB7fvFn6Ow8dKkkQIqeFdbBcs6ZMDHbqoEpKpC9l3brmnqcrWDaS\n2fWlM1g2UoIByAeJWrX01fSdOiWZ3W7dgh930UXObM16+DDwwQfAr35V8f5LLpE367lz9Y9JFGvc\nKsMwW4IBlM/ndj8oFxYaX4MCSHC7e7eeRMSWLZLYMKJTJ/2Z5VDBcq9eUnJSVKR3XK9nn5XxR4+W\n2/fcI1nmF190ZjwiX2EdLAP2t7z2lmAYvWzmpSNY3r/fWrCsoyPG9u1ASorx4zt0kOyyDj/8IJNY\nqMxP377O7OT30UeS5aic1fd4gAceAJ57Tv+YRLHG6gI/N4LlmjUlYWJ3bLOZ5bp15UtHVttovTKg\nP7NcUCDvw/7qlb3i46X0btEifeN6HT4spXQPP1zx/smTJdOsY9EoUTBhHyzbbR9npQQDcK8MQ9eW\n1zt3Am3aGD9eZ93y6tVAZmbo4zIzgbVrJfOv03/+U559qOyGG4Dvv9fbos+fjz+WN47zzwfeftvZ\nsYjc4NamJFaCZUDax9m9emY2swzoK8Uwk1lu107OVVeJwnffyVwWKunkVCnG668DgwZJEsZX167S\nhvTVV/WPSeQrIoJlO9kAs50wvJo0sZ8NcLMMIz8/cNs2f7x1yzqsWiWX5EJp0ABITpbeoboUFQHL\nlwPXXef/8Tp15LEPPtA3ZmWzZkkJyB/+IDXSf/sbt4Ol6GNnUxI7ZQlmeyx76ahbNptZBvR1xDCT\nWY6PlwSIro2fVqyQK4GhXHyxdCDS7d//Bn75S/+PTZgAvPaa3jU3/ixaBNx5J/DrX3NDrVgU9sGy\nrjIMs5o0sb99p5tlGPn55jPLOoNlI5llQH8pxvz5wBVXBK9RHzVKAlon5OXJwsI5c6T36JVXAl99\nBbz8srOLX4iqm5XMcu3a0vHn9Gnr49rJLNsNliMlswzo7Yjx/fdAnz6hj8vMBNav19tv+Ycf5L30\nssv8P37xxfI75WQr0uefB265RXZHbNhQ1ttUR5s8Ch9hHyy7VYbRuLE7C/x0lWFYCZZ1lGEoJT0w\ne/Y0dnyfPjIR6/Lpp8DVVwc/5sorJZutcwMYrwceAB56qOKHhZYtZRHKXXdx5TZFj5o15cssu6UY\nZtvGeekIlq1mlu0Gy0pJNwwz61B0LfJTynhmuU4d2WFw5Ur743q9844EqjUCRCseD3DHHcCbb+ob\n09eiRVIbvWQJMHGi9O//6CPg1lv1JZgo/IV9sGx3QYidMoxIbR1XUiKfxFu1Mv4cXZnl/Hz5gGM0\n86Mzs1xWBnz+OXDVVcGPq1VLAubsbD3jei1dKjXY995b9bFhw2RxzEsv6R2zssJC4LHHpGb78ce5\nayE5x2xW2ctuR4xIrFnevdveuPv3S1bezM9c1yK//HwJVFu3Nnb8BRcAy5bZH9dr9mzgxhuDH3PT\nTXI1T/dGJSdPArfdBrzxRsWyxksuAf78Z5ln2Yo0NoR9sGw3sxyLZRgFBRIox8UZf06bNhLcnzpl\nb+zcXMksGJWZqW83ppUr5edtpFb7mmv0t5D7619lAq1d2//jf/kL8Pe/O7cl7Pffy89z3z55fdu3\nS4Z/8WJnxqPYZjVYtpsAsRos66hZNrPVtZeOzLLZrDKgrwxj5Uq5Ami0o1T//vqC5a1b5f9ZqKx2\n27ZSoqK71O3552XswYOrPnbfffIhYsYMvWP6UkrW1wwcKK1Yx41jNtstEREs25lY3e6GYTZYbt5c\nxrXTIcJsCQYggXWbNhJg2WE2WE5IkHF1LPL78kuZVIy4+mrZbUpXJmLbNllYeNttgY/p2VOyLq+9\npmdMX+vXA0OGSOb6xRflEuFrrwHTpsluVzovixIB5hf3eekow3CjZrm0VOZms1cLW7e2Hyxv325s\n5z5fnTqT5GyKAAAgAElEQVTpySyvWWO8rA7QGyzPnSvzWqASDF833gj89796xgXkd/Tvfw+8ONvj\nkd7Pf/qTMwmQ0lJZKP7oo7KI8Z13ZKOxfv2A997TPx4FF/bBso4FflbKMOzWLJeVyfObNjX3vPh4\nec6+fdbH3rnTXCcMLx2lGGaDZUBfKcY33wADBhg7tmVLyUQsWWJ/XECC0l/8Qmr2gvm//5Nshc5L\ndydOACNGSOeNYcMqPjZkiJzbsGF6er0GsmOHdP/IypIWT0884dzmBBQeIrEMw87fwIEDcu5m67R1\nZZbNBsvNm8s8Y/fvft06WdhmVHq6vGfrWKg+d64slDbixhullri01P64gJReXHFF8N7S/frJh4PX\nX9czpq/77wc2bJDuIjfcIB9YHn4YWLAA+M1vgJkz9Y9Z2ZEj0jYwL0/fzzVShX2wHKllGMXFknmx\nsgDGbimGlcwy4F6wnJkpHTTsKCuTcoOLLzb+HF2lGGfPAtOnA+PHhz72oovkd1rnSuq//lXezO64\nw//jw4cDN98sjzvRXumll4DeveXn8Oc/yyS/datcNqyOCZ3cEWllGHaD5aIi8/XKgAStR47Y6wBi\npQzD45HA1W4pxrp1QI8e5sbt189+dvn0aZnTr7zS2PGpqfLBREdXjNJSSWr8+tehj/3DHyQDXVJi\nf1yvf/9b3iP+9z/5e/HVo4d0fbr/frma6YRt26QeOylJ2uUNHCjxwTPP6N8XIVKEfbCsY4GfnW4Y\nVoMLKyUYXnYX+VkNlu32WlbKWrDcu7f9MoHcXPmAY2ZR45AhwLx59sYF5JN+SorUCIbi8cgCwOef\ntz8uIJmH114Dnn46+HGTJ0u3E939pf/0J7kUuWyZvGFceaV8CHn1VelM8qc/yepxp3qgrl8v3UcG\nDJA3kSFDgH/+U2pLyVl2gmU7ZRhW+yzbXeBnpV4ZkBKCli3tLfKzUoYByJxkpyfwyZPyfmJkbvOl\nY5Hf0qWS1TXz/j18uASYds2bJ+/fF1wQ+tjzz5eSl3fesT8uIL8nv/mNzNWBXnv37tKOdPRoe8lE\nf2bPlg873brJFZHVq+X376OPyjfb0tEKMZDSUsmmv/yy7LY7e7azV0WNsh0sZ2dnIyMjA+np6Zg6\ndarfYyZOnIj09HT07NkTq0ymEHW0jrNShlG7tnRNOHbM2rhWOmF42W0fZ6cMw077uD175Odm9nVn\nZkpdnJ3LPN98IyuUzejbV94A8/OtjwtIz+ZRo4wfP3q0ZAQ2b7Y3LiCZ3N//PvSHhFq1JAP8wAP2\nt/z1+uc/ZQL95hv/myVkZsqk98EHsjGLTkePyiYFl10mwcikScBbb0l7vh9+kA9sjzxiL5sXjFJy\nNSQSdw7TNWe7WYZhZU63u8DPSts4L7ulGFbKMAD7meXcXPkeZq+Q9utnP+u5YAHws5+Ze86wYRJc\n2f1w/sYbMpcY9cc/AlOn6imvu+8+qVEOlc2/4QaZ/x580P6YXrNmyRXSuXMl0eGb1e7dW9b5XH+9\nlJ7o3EwMkIz1iy9KHHLXXbJgfdMmCZpTU+U9VucW7qYpG86ePatSU1PVtm3bVElJierZs6fKzc2t\ncMzcuXPV4MGDlVJKLV26VPXv37/K9wl2GvPmKXXVVdbPsXdvpb77ztpzk5OV2rHD2nM/+kipoUOt\nPfehh5R6/HFrz1VKqR49lFq50vzzVq1Sqls36+N+/rlSWVnWntuhg1Lr11sf++c/V+q118w/75Zb\nlHrlFevjnjqlVOPGSu3aZe55v/2tUg8+aH1cpZRavVqpli2VOn7c+HPuuEOpiRPtjauUUgsWyNhG\n/j5271YqLU2p556zP65S8nuamiqv5cgR/8fs3KnUsGFKde8uPyddjh1T6p//VColRV7TmDHB569w\no3POvu8+a+cwZYpSv/udtecqpdR558n/B7OOH5fnWvX008rya77xRqXefdf62A0bKnXggPnnvfOO\nUiNHWh93+nSZW83at0+pBg2UKi21PvaAAUplZ5t7TlmZ/G2uWWN93KIi+XkfPmxu3L59lZozx/q4\nSsm8mpKi1MmTxo4/fFiO//hje+MqpdTXXyvVvLlS69aFPnbGDKVatVLqhx/sj6uUUvn58vO74gr/\n8drhwzJvNGum1AMPKHXihL3xrMzZtjLLy5cvR1paGlJSUlCzZk2MGjUKs2fPrnDMnDlzMGbMGABA\n//79UVxcjEIT10jdKsMA7HXEiMQyDG/NstVP5T/+aL4Ewysz014phpXMMiBdMebPtz7uZ5/J5aqk\nJHPPu/tuyYTa2aTkL38Bfvvb4LsVVjZ1qmQP7NSIFxVJ14+33jJ2BaNVK8lIPPmk/VXcCxfKAsLH\nH5fyk0DZzTZtJOv94INSGvLyy/ayTUrJZda0NKmjfP99yXo4tRGCU3TO2XYyy1bLME6dkitQZn7n\nvbzPsdq5wK3McnGxvGYrpSd2M8tmF/d5NWsmXxs2WBv3xAl5PzA7p3s85dllq2bOlEWFlWuFQ437\nf/8H/OMf1sctK5PvMWUKcN55xp7ToIGsl7n7bntrrHbuBEaOlFrpbt1CH3/bbfJaBw60n2FeskQy\n1TfdJPsk+GsT2KCBXEFdv17KVHr31ruZmRHxdp5cUFCANj5RWXJyMpZVKlTyd8yuXbuQWGnWeeyx\nx879OysrC1lZWQDcK8MA7AfLdsowrC5SOHZM3lDMduEA5Beybl0pTWjZ0vzzc3PNLQTx5a1bvuUW\n88/NzweOHzdfVwfIBib33Sct5KwsxjRbguHVoYNcqnz3XeD2280/f80amWT+/W9zz2vaVOqXJ0yQ\n5xtpyeSrrAwYM0Za0w0aZPx57drJpb0rr5RFUj/9eZsyZ46UXsyaZezyrMcj53rhhfJGkJMDvPKK\nuTdBQMplJkyQv+nZs4ETJ3LwySc5+OQT86/BbTrn7GXLHoN32vads0OxkwDx1isb7flbmbdu2UqZ\nWmGhsRpWf+y0j/OWYFh5zenpUrOslLXnr1tnbJGbP95SDCsJlMWLJYFSr5755w4bJkmEhx82/1xA\nkgABqpOCuvFGCeiWL5fXbtY778h70MiR5p6XlSWv+Te/kcDZrOPH5fn/93+hN/Tydcst8iFu4EDg\nq6+svf++/roskHzzTVlvEkqzZjL/z5olx0+YIOUitWoFf15OTg5ybDbhthUsewz+9alKKR1/z/MN\nln3ZmViVspdZbtzY+qe1/fvNZxu97GSWvVllq28mqalSt2w1WL75Zmvj9u4tmUcrFi+WDISV19yi\nhWQLlyyR+i8zTpyQADDU4rpAfvUr2W3PSrA8aRLwu99Zy7CNHSs1ea+9Zq4uD5A65cOHpQOHWT16\nyCR3882SaTaTsZoxQ17v3LmyoMaMjh2ldvqBB2Rzhffeq7gdeSCnT8ub5nPPyYR+//3S2hGoGBhO\nmjTJ3Am5SOec/fzzjwVtqxWInQV+VuuVvbx1y1aCZbuZ5dWrrT3Xar0yID+runVlPYnRHfh8Wc0s\nA5ItXL7c2vy2YAFw+eXWxh0wQLo57NoFJCebe+7atfL/2crY8fHyweKppyQJYsbJkxL0zZxp7X1s\n6lSZX+fNMxZ0eikl7wc9esj8aNZtt0mi6YorJBmRmmrseWfOSHD/2WeSGOzUydy4o0YBl14q71/9\n+8sHnGCJOu+H+c2b5YMUYH7OtlWGkZSUhHyf1VH5+flIrvTbWfmYXbt2IclEFGkns3zypPwCh/rU\nEYhbZRitWllvHWe1BMPLGyxbsX598J6UwXjbx1m5VG61BMNr8GBrW1/PnSsZBCvtpAApATlwQPpY\nmrF6tQR/RlrV+VOjhiz2+/OfzfXzXrZMPtDMnGktCw9IRvjZZ6Vjxo4doY9XSi5LPvywTMZmA2Wv\nOnWkFOOvf5WM+OTJgUtgSkuBDz+UIGHVKrni8eCD3kA5sumcs63+rdtZ4Ge1E4aXnfZxVra69rKz\n5bWVtnG+rHbE8O7oajbg9LLTPs7K4j6v+HgJGOfMMf/ct96Sfvlmdr/1dccdsjnWtm3mnufdKdBM\n61Nf9etL8mP8ePkbMepvf5MSjGnTrCfYxo2T95LLLzf2gbCwUDLYW7bI74fZQNmrdWvpzjFxogTr\nd94ZuJtXbq48fsEFElxbYStY7tu3L/Ly8rB9+3aUlJTg3XffxdChQyscM3ToUMz4aT/IpUuXolGj\nRlUu5wXjDZatBFF2SjAAd8sw9uyx9prdCpb37ZPVrFYy0oBkbOrWtbaDoI5g2UrdstUSDK+4OKk1\n+9e/zD3PTlbZq0cPKaWQT9mh7d8vGeFp06xnubxGjZLLlQMGSOeKQE6dkp/PrFmS+c/IsDeud+yl\nS2UTnPbt5dLjxx9LBuzTT+Vn26WLZGqeeUbqnq1kIcNVdczZobiZWbYTLNvJLNspw7DaNs7Lat3y\nunVSv2o1iMrMlASK2XUZhw/L+herJS+AtbrlM2ekFOKncn1LEhKkVOyZZ4w/58ABabv5xBPWxwXk\nw8WwYRIUGokdZs2SsrSPPjJeIx3I+PHyGgYOlKx6oPHnz5ffi4suknnXzt8yIL+bY8dKl4yWLSWZ\n0r8/cM890qHkzjvlve5nP5O4yNtq1BJ7awqVmjdvnurYsaNKTU1VkydPVkop9fLLL6uXX3753DH3\n3HOPSk1NVT169FArVqyo8j1CnUbt2tZWP+bmKtWpk/nneU2erNTvf2/tuX36KLV8ufWx69UztxrX\n69FHlXr4YevjvvmmtdXPCxcqdeGF1sdVSqlrr1Xqgw/MPae4WH5Wp09bH/fMGeloUVBg/DmHD8tq\n74MHrY+rlKwab9RIqf37jR3/3XeyCtnuamClpJNEaqpS770X/LizZ5UaONBeBwN/3nlHVjc/91zV\n/38LF0pXl+HDrf0dGLF+vVKPPKLUoEHSNeeKK5T6zW9kVXhZmfHvo2EarVbVMWcHs22bUm3bWnvu\nO+8oNWqU5aHV3Xcr9eKL5p9XVma9C4dSSh09Ks8383vldeONSs2aZW1cpeR97Le/Nf+8Z55RasIE\n6+MqJX9XS5aYe87HHyt1+eX2xj1yRKmEBHl/MDOu3fcwpaQzUpMmSu3da+z4Bx6w/3P2OnlSYo8p\nU4If99VX0vli7Vo943p9/71SGRnSwezjj5UqLJSfw+zZSg0erFT79krl5Ogd09fp09JR5JlnpKPY\nv/6l1LffynuYLyvzV1jM8qFOvFkz+aGb9e23SvXrZ/GklFIvv6zUnXdae27btvKmYFVamlIbNph/\n3h13KDVtmvVxv/5aqQsuMP+8l19Watw46+MqJYHLH/9o7jnz51tvV+dr5Eil3njD+PFvvmm9NWBl\nt9+u1F//auzYK65Q6qWX9IyrlATfwdoFlZUpdc898uZ15oy+cb1ycyUQb9VKgqCxY6V9Yfv2Sr39\ntrXgorpFWrCsg53XfPCgfEC04sUXJeC16k9/UmrSJPPPO3JEPpTb0aCBtfZvffsqtXSp9XHff1/a\nKJp1xx0SbNhx990SuJjx61/ba53qNXiwUjNnGj9+2DClXn3V/rhKyWsw0mZw0yZzgbURO3dKO7lA\n/+8++0zm/C+/1Demr9OnpR3rpZfKa2veXN4/pk2TVqvhwMr8FfY7+AHWF/m5XYZhtWYZsL4xiVtl\nGHbqlb169zbf0uzrr63XefkyW4rxn/9Y69zhz0MPySKyUL/jn38u9WWBtrW2om9fqSG++mq59Omr\npER2G1y6VC7VOVGz27mzLPL46is5h4suklKPvDzg5z+3fgmYwped0jpdC/zMslOv7GW1btluGYbV\nmmU7i/u8rNQtL1ggNah2jRwp6yuM2LNH2lLaKavz9Yc/SElHsJ+7UlK+8Kc/WS/v8adNG1lA/c9/\nSkmId/lBUZG819x6K/Df/1qvCQ+lVi0pf1i4UP7Wiork/+ldd8mmZZEqIoJlq4v87HTCAKwHy8eP\nyx+CnZrSli2tLfKzGyy3bCnnb/bnrStYXrHC3Jvo11+b72Lhz9VXSzB66lToYwsL5Q3guuvsjwvI\nAodBg4LXuZ09K3W+f/ub9cV1gYweLYvosrJkocbixcDbb0vN4M6d8nOx83dkRKdOUiv4y19KwGx1\ngQ2Fv/h4qZG0sjuqWwv87NQre1mpWz5+XH5OdgL1tDRZ+GRmh9SyMvnwbDdY7t/fXLBcVCQfDvz1\n2jXrhhtkUbCR/9/Tp0uf3/r17Y8LyP+vhx+WoDHQrn7TpkmMMnGinjF9pabKwuSEBKBnT/mQ2LGj\n/HzXrJH1ImRORATLDRq4EyxbbR23f79kle1kxax0xFBKgmWrq5cBOWcr217rCJaTk2VCN/q6T52S\nCeHCC+2NC8iHhF69ZJFXKO+/L4GynQ9DlT3+uGSXA/3cn3pKfh9HjNA3pq9bb5VFdCdOSAuh996T\njMfs2faCEyJ/rHbEsHu10GqwrCuzbDZY3rlTFpia7Yfuq25dCZZ8GpyEtHWrPMfuh+SMDHkPNZpR\nz8mRlmA6rmI1aCBJkPffD35cWZl0krjzTvtj+rrvPmk/OWVK1ceWLwceeUQy30512UlIkLamhYXy\n/lxYKC1DrS7Cj3URESwnJFibWA8fdqcMw24JBmCtDMP7M7I7waWmykYMRh07Jh8Q7HZJ8HjKs8tG\neBve68oGjBxpbIe5t9+WbKxOKSlyiWzcOJlgfS1dKiuNX3/d2bKE9HS5dLd8ubRduvFGe2/SRIFY\n7Yhx6JD9zPL+/eafV1hoP7NspQzDbgmGl3dzEqPWrrW+wZSvGjUki2l0k60vv9RbHjBmDPDqq8Gv\nVn76qbxn6shm+4qLAz74QMZ/7rnyc/jiC9kh8PXXrW3kYVbNmhKPRHIJRDiIiLdCq2UYxcXulGHY\naRvnZaUMw+6GJF5m65Y3bJA/eh2Xzvv1k+DQiEWLJAuhyw03SO/kYNvhrlolb3hmdjoy6oEH5Pfm\nttvKy0GWLweuv1425bDTa5UonFjd8tqtzHJRkf3MspUyjO3b9fzdd+wo7bWM0hUsAzJHL1pk7Fhd\n9cpeV18tscPixYGPeeIJaaHpRCIiKUnK2N56S668nn++BPDvvaevjI+qR0QEy26VYSQkSI/IM2fM\nPc9bhmGHlcyy3XplL7PBso4SDK+LL5ZyACN0B8uJifL9/vOfwMe89JIsynCipjYuThaF1KghpTAX\nXigZiGnTzO3KRBTurC7adnOBn47MspVguX17e+MCcgUuN9f48TqD5csuMxYs79gh79nduukZF5C5\n9P775YqZP19/Lf9PzG4xbUZammw89fbbUhaxdausD6HIEhHBsltlGB6PtbplXWUYVjLLduqVvdwM\nli+8EPj++9AfUM6elQy0jk4Yvu67T3ZT8nfZrqhILqvp7EZR2XnnSbP4hQtlY4xt26TRPFE0sZNZ\ntlOG0bChXDkymwDRscDParCsI7PcpUvVbjfB6AyWe/WS2utQ5S+ffCJdiXSXft1+u1yhq1wKcvas\nBNKPPeb87pw1akiZxyWXsBwiUkVEsGw1s2y3DAOwVoqhI1i2Uoaxa5eezHJamrmaZZ3BcqNG8uYQ\natvMlStl4UvTpnrG9briCqkZ/uqrqo9NniwL4apjgUR6umS569Vzfiyi6uZWGYY3AWJ2TnerdZyu\nYLlrV+OZ5WPH5L0nLc3+uIAEopdfHnrx9Mcfy5U03erVk8zyPfdUXA/y1FPy/nHrrfrHpOgTEcGy\nncyy3WDZrcxys2bymktKjD9HVxlGSoq8huPHjR2vM1gGJFscrMYMkN68V16pb0yvGjWk5c/vf1+x\n1dLmzcC//y0dIojIHitlGGVl9q8WAtYW+ekow0hMlHHNZLV1BcstW8p8VlQU+tgffpD5XGe29Zpr\nJHMcyLFjMuc7sRYEkLZwnTvLupR16yRQfvZZWXzHXu5kRMQEy27ULAPWM8t2F/jVqCEBd2Gh8efo\nCpbj4iSrsGlT6GNLSmRCT0+3P67XZZfJQo9g5s93ro539Gh5M3/4YSnHOHJEmtU//LDe5vFEscpK\nZvnYMaBOHftBnJW6ZR3Bcny8zOlG16KcOCFzj445x+MxXoqhswTDa8gQySyfPev/8U8/lZ7MDRro\nHdfL45FkR8+e0uVn4UIpy+CiaTIqIoJlO2UYdrMQbpVhAOYX+emqWQakP+aGDaGPy8uTcgiddViD\nBslkVrmFmtfBg5Id0Lm4z1eNGtL/cu5cqaHu2lWy3fff78x4RLHGSrBst22cl9mOGKdOSeCqY2wz\npRjbt9vvsezLaCnGmjX6g+WkJFmoGOiK4YwZsmOnk2rVklK6TZukNWZqqrPjUXRxuKxdD7cW+AES\nLLtRhgGYW+SnlL6aZUCC5fXrQx/nRBaiaVPJgnz9tf9Si88+k0D5vPP0juurRQtZwfzVV3IJs2dP\n58YiijVWyjB0JD8A88Gyt22cjsv1ZtrH6SrB8OraVUosQvn+e33bPvu6+WZpoVZ5x9XCQkmOvP22\n/jGJdInazHJZmVy2s3tZx8piEF3BspmJ9dAhaT6ekGB/XEDqu4xkltescSaQHDJESi38+eADYOhQ\n/WNWVquW1NAxUCbSy0pmWWewbKZmWUcJhpeZjhi62sZ59eoVeuF0SYkE1L176xvXa+xY4KOPqiaf\n3n5bOv7oeu8ickJEBMtWMstHjsgqWLuXsMyWYZSUyMI4HZN6crLxiVVXvbKX0cyyU8HyNdfIVsuV\nW7gdPCg7IDnZF5OInBVJZRg6g+XkZLkCaITuzHJmplwJDLbAcO1aKU9wogtP8+bSGu7NN8vvO30a\neOYZ4N579Y9HpFPEBMtmM8u6shBmyzD275fJWEedmZmJVWe9MgB06iQdIHw7QvjjVLCcmSmZ8m+/\nrXj/rFmyK5OO/7dE5A43yzDMLvDTGSy3ayebbxihO1hOSJAa6GB1y999J7vMOeV3vwOmTJGrr4DU\nEPft6+yYRDpERLBspQxDR70yYL4MQ8fufV7JyRIEG6GzXhkA6taVMpBgHTH27ZOFL23b6hvXy+MB\nfvlL2SDEq6xMdtAbO1b/eERUfWI1s5ySIkGwEbqDZUAC0xUrAj++fLmzgWuvXrID6hVXSDZ5+nTg\nhRecG49Il4gIlq2UYejMLJsJlnXVKwMS/JrJLOsMlgGpW1u1KvDj3sV9TvWpvPNOaSG3cqXcnjFD\nWkcNGuTMeERUPRo0cLdmORKC5W3b9AfLffrIAr5Ali0D+vXTO2ZlkyYBf/yjLJr89lup4yYKdxER\nLNeuLQFZoFZi/ujYvQ9wN1hOSpJg2d/Wy5XpLsMAQgfLK1ZIuYRTGjQAnn5a+mI+8QTw29+yiTxR\nNGjY0N1uGGYW+O3dqy9YbtVKXsfJk8GPO3ZMvnT3de/bN3CwvGePfDm9oNnjkW4bjzzCQJkiR0QE\ny4D5umVdZRhmsxA6NiTxSkiQut3i4tDHOnHJrnfv8qyuP99+K32InXTLLbLb0s6dwLx57ExBFA3q\n1JENKszsUKqrDMNKzbKuLe5r1JCytVB1y1u3SicM3YmBPn1k4ba/rP6CBbItdVyc3jGJokFEBctm\nMhE6yzCKi0MvdPPSmVkGjC/y27ZNb5shQLLGK1f6z2wrBSxZAlx0kd4x/bnhBqlV5iIQoujg8Zgv\nxdC9aLuszNjxOsswAGOlGHl5QMeO+sb0qlNH5mx/O6R+8YXUEhNRVRETLJtd5KerDCMuTiZoo6UY\nbgTLp09L43zdZRgtWgD16/uf2Ldtk+1bdddJE1FsMFuKoSuzHB8v7ydGuxy5ESxv2gSkp+sb09eg\nQbKxky+lgC+/9L8JFBFFULDsVmYZkMt2RmvcnAiWQ3XE2LlTar/iHdiPsU8fWSFdmTerzPphIrLC\nbEcMnXN6ixYSBIdSUiJJmiZN9IwLGA+WncgsA/6D5bVrpUTEqTGJIl3EBMtmM8u6apYB94PlUJnl\nbduADh30jenr0ktlK9LKFi92vl6ZiKKXlTIMHZllQDLFRoLloiKZz3X0zfdyswwDALp1k41J1qwp\nv2/mTFl0x+QHkX8REyxbySzrKMMAZLL0NlEPRXewbGQxiBP1yl5ZWUBOTsX7lAI+/RQYONCZMYko\n+lkpw9CVADEaLOsuwQAksbF5c/BjnCzD8HiAceOAadPk9okTwBtvsH89UTAREyyb3fHJrTIMnZuS\nALL16JYtwY/xrpx2Qs+eUq/tew4bNsjlyW7dnBmTiKKfmczymTPAqVOyhkIHN4PljAxg48bALUGL\niyWAbdVK77i+fvUr4P33Jbv82GOSFOnUybnxiCJdxATLZuvb3CjDKCuT7EfTpnrGBSQLsXVr8GOc\nzCzHxQHXXQd8+GH5fTNnAiNG8JIdEVlnZk73zue65pzERCmxCMWJYLlRIwn6A5XX5eVJVtnJ+bVF\nC+DFF2Xdybx5FXdKJaKqIiZYbtTIfH2brjKMZs2MlWEcPCjZEp0L7ZKSJAA/cSLwMU4GywAwZoxs\nBlJWJp033nxT7iMisspMGYbOEgzA+AI/J4JlAOjcWa7Q+bNhQ/VkeUeOlPestWudeY1E0SRigmU3\nV04bzSzrrlcGZGFJSkrg7LJSUiKRmqp3XF8XXyzZ8n/9C/j734GuXZ3duY+Iol/DhsY2XAL0Lu4D\n3C3DAKQUY/16/4+tXg306qV/TH9q19a7eJEoWkXMn4mZiVUpCax1LvAzEizv3atvpydfwUoxiopk\nstMdpPvyeGQByNNPA//5D/DKK86NRUSxoVEj43O67syy0WB5zx5naoc7dw4cLK9ZU33BMhEZ40Bn\nXmeYySyfOCHbRNeqpWdso2UYTgXLwRb5rV8vWQqnde5cvoKbtcpEZFfjxsY3BnErs7xrl5TC6ZaR\nUXEdiJdS1ZtZJiJjIiqzbDRY1lmCARgvw3AyWA6UWc7NlUC2Ong8DJSJSA+zwbITNcuBOlJ4FRQ4\nEywHyiwXFMiiaifeR4jIOgbLBrgdLHfoEDyzXF3BMhGRLmaCZd1lGPXqyULsYBtdKQXs3u1MsJyU\nBMk/fnwAACAASURBVJw9K2UevphVJgpPERMsm+mGobNeGZANUc6cAU6eDH6cU8Fyerr05fSHwTIR\nRSIzwfLBg3q3nAZCl2Ls3y8t3urU0TsuIFfo+vYFvvuu4v0MlonCU8QEy25mlj0eWUAXqi+nU8Fy\nWppkOI4fr/oYg2UiikThECzv3Rv4cadKMLz69QOWLat43+LFQP/+zo1JRNZETLDs3cEvVI0ZoD9Y\nBmRFdLCJFXAuWI6Pl76blWvcjhyR19q2rf4xiYic1LChlEGUloY+9sABvZs9ARIIFxQEftzpYHnA\nAGDhwvLbZ85IsHzZZc6NSUTWREywHB8PnHcecOxY6GN1bkji1bJl1fqyypwKlgHZWnrduor3rVoF\n9OjBPplEFHni4qTMwcjGJE4Ey23aBN5FD3A+WL7kEmkT5339334ri7l1v04isi+iwiyjpRg6t7r2\natUqeLB89qxcKnSq33Hv3sCKFRXv++47qXsjIopERksxnCjDaNMGyM8P/LhTbeO86tQBLr0UmDNH\nbr//PjBihHPjEZF1URksu1GGsW+fdM2Ii9M7rlf//sDy5RXv++474PzznRmPiMhpRoNlJzLLycnB\ng2WnM8sAcPvtsjPqgQPAzJnALbc4Ox4RWRNRwbLRjhhOlGGEyiw7WYIByPbSP/4oG64AUru9cKHU\nvRERRSIjwbJSEkw6kVkOVYaRnKx3zMqGD5fX17Mn8POfA+3bOzseEVkTMTv4Ae5mlkPVLDsdLNet\nKyUXOTnAkCESONerx8mViCKXkWD5xAm5Yqe7hZvbZRiArMX5/HMpsWPigyh8RVRmuWFDCYRDcaK+\nLVQZxu7dzu+6NHgw8PHH8u///leCZiKiSGUkWHaiBAOQ+frAAaCkpOpjSgHbtsmGUE6rX186YHCh\nNlH4iqg/T6OZZaeC5WCZ5fx8yVQ46ZZbgHfflUb606dLvRsRUaRyM1j2biu9e3fVx/bulSt3CQn6\nxyWiyGM5WD548CAGDhyIjh07YtCgQSgOkPJNSUlBjx49kJmZiX79+lk+UcBcsKx7ck1MlE1Jysr8\nP75zp/P9jtu2lbq2zp2loX2fPs6OR0TRw405OxQjwbITyQ+vQKUYW7ZIGzciIsBGsDxlyhQMHDgQ\nmzZtwhVXXIEpU6b4Pc7j8SAnJwerVq3C8srtHExyM7Ncu7ZkGQ4c8P94dQTLAPDMM8CnnwJvv+38\nWEQUPdyYs0Np1Mi9zDIQuCPG1q0MlomonOVgec6cORgzZgwAYMyYMfjf//4X8FhlZNs9Axo1Cl2z\nfOaMbAvdoIGWISsIVopRXcFyXJy0i6tVy/mxiCh6uDFnh9K4ceg53clguU0bmbsrY2aZiHxZ7oZR\nWFiIxMREAEBiYiIKCwv9HufxeHDllVciLi4O48ePx5133un3uMcee+zcv7OyspCVlVXlmCZNJGsc\nzKFDElQ7sVjC2xGjR4+K9ytVPTXLROS+nJwc5OTkuH0aprkxZ4fSuHHoOd3JMozUVGDlyqr3b9kC\nDBzozJhEVL10zNlBg+WBAwdir58WEH/7298q3PZ4PPB4PH6/x+LFi9GqVSvs27cPAwcOREZGBgb4\n6ZHjO/EGYiRYdqJe2StQfdu+fbIYpF49Z8YlovBROTCcNGmSeydTSbjN2aE0bRq4tM3rwAHnWril\np8ui6cq2bAHuvtuZMYmoeumYs4MGy59//nnAxxITE7F37160bNkSe/bsQYsWLfwe16pVKwBA8+bN\nMXz4cCxfvtzvxGtE06buZiHatQN27Kh6f3WVYBARBRNuc3YozZtLsiGYAweqXs3TpWNHIC+v6v0s\nwyAiX5aLFYYOHYq33noLAPDWW2/h+uuvr3LMiRMncPToUQDA8ePH8dlnn6F79+5Wh0STJqGzEAyW\niYiqcmPODsUbLAcrkXZi9z6v5GQp3Tt+vPy+w4dlIxSn++YTUeSwHCw/9NBD+Pzzz9GxY0csWLAA\nDz30EABg9+7duOaaawAAe/fuxYABA9CrVy/0798f1157LQYNGmT5ZI2UYTi5GKRdO/+LQRgsE1G4\nc2PODqVePVlfcuxY4GOKioAASXDbatQAMjJkR1SvtWuB7t2BAFUqRBSDLC/wa9KkCb744osq97du\n3Rpz584FAHTo0AGrV6+2fnaVNGggGYAzZ4CaNf0f40ZmeccOLu4jovDmxpxthDe7HGgDkMJC6XPv\nlJ49gdWrpXc9AKxZI/cREXlF1A5+NWqEbmLvZLDctq10wzh9uuL9mzcDaWnOjElEFM2C1S0rVT3B\n8po15bdXr2awTEQVRVSwDIQuxXAyWK5ZUwLmrVsr3r9xI9CpkzNjEhFFs2DB8tGjMu/Wrevc+H37\nAkuXlt/+5hvgooucG4+IIk9EBsvBFvk52ToOkNXTmzaV3y4pkZplrpwmIjIvWLDsdFYZkPKLvDx5\n79izR87FwTWNRBSBLNcsuyVU+zgnV04D0pdz48by21u3yorq2rWdG5OIKFq5HSzXqgUMGADMmwcc\nOSKbkTixqRURRa6IC5bdLMMAgG7dgIULy2+vXu1cD1AiomjndrAMAHfeCTz6KHDqFPDii86PR0SR\nJSKD5WBlGE5nlnv3Bp5+uvz2ihVAnz7OjUdEFM2aNwc2bPD/WHUFy9ddByxZIlcIr7jC+fGIKLJE\nXLAcqgzDyZ6cANC1q5RenDghi05WrAB+9zvnxiMiimbNmwP79/t/rLDQ2fncKy4OePJJ58chosgU\ncZVZwTLLx45Jq6H69Z0bv1YtyS5/840EzN99B1xwgXPjERFFs3AowyAiCibiMsvBapa9E6vTOy8N\nGQJ88olsjtK7N9CokbPjERFFKwbLRBTuIi5YDlaGUV0T68iRwIUXAsuWAXfd5fx4RETRqkULKZ/z\np6iIwTIRuS/iguUmTYLXt1XHxJqWBkyeDPz4I3D77c6PR0QUrRISpHzu6NGqW14zs0xE4SDiguWW\nLYG9e/0/Vp0T6513Vs84RETRzOMBWrcGCgqAjIzy+5WSTUJatnTv3IiIgAhc4JeYKJnl0tKqjzEL\nQUQUeZKSgN27K9536JBsdV0520xEVN0iLliuWRNo3Nh/jRuDZSKiyJOUJJllX/n5QJs27pwPEZGv\niAuWAaBVK7k8VxmDZSKiyOMtw/DFYJmIwkXEBsv+6pYZLBMRRZ7kZGDXror3MVgmonARscEyM8tE\nRNEhJQXYvr3ifQyWiShcMFgmIiJXdegAbN1a8b7Nm+V+IiK3RU2wfPIkUFICNGzozjkREZE17dtL\nZlmp8vvy8oD0dNdOiYjonKgJlnfvln6cTm91TUREetWvL1/etShKSWY5Lc3d8yIiAqIoWN65E2jb\n1p3zISIie9LTgY0b5d+FhUDt2tImlIjIbVETLO/YAbRr5875EBGRPT16AGvXyr/XrQO6dnX3fIiI\nvCI2WN67t2J9GzPLRESRyzdYXrEC6NPH3fMhIvKKyGC5Th2pb/PdxY+ZZSKiyNWrlwTJgPy3d293\nz4eIyCsig2VAFn5s3lx+e9s26dVJRESRp29fmcfz84GvvgIGDHD7jIiIRMQGy+np0lrIa+NGoFMn\n986HiIisq1kTGDQIuOsuIDWVVwqJKHxEbLDsm1k+cgQoLuZuT0REkWzyZGkD+ve/u30mRETl4t0+\nAas6dgQ++ED+vXGj3K4RsaE/ERGlpQFr1rh9FkREFUVseNm7d/likDVrgG7d3D0fIiIiIoo+ERss\np6dL6cW+fcA33wCXXOL2GRERERFRtInYYLlGDeDCC4EvvgAWLgQuvtjtMyIiIiKiaBOxwTIA/OIX\nwK23Ag0bcrcnIiIiItIvYhf4AcCIEUBBgZRgeDxunw0RERERRRuPUr6bRrt0Eh4PwuA0iIhMi8X5\nKxZfMxFFByvzV0SXYRAREREROYnBMhERERFRAAyWiYiIiIgCYLBMRERERBQAg2UiIiIiogAYLBMR\nERERBcBg2SU5OTlun0K1irXXC/A1E0WTWPzd5muOfrH2eq1isOySWPsFjbXXC/A1E0WTWPzd5muO\nfrH2eq2yHCy///776Nq1K+Li4rBy5cqAx2VnZyMjIwPp6emYOnWq1eGIiMgGztlERNZYDpa7d++O\njz76CJdeemnAY0pLS3HvvfciOzsbubm5mDlzJtavX291SCIisohzNhGRRcqmrKwstWLFCr+PLVmy\nRF111VXnbj/xxBPqiSeeqHIcAH7xi1/8itivSMI5m1/84lesf5kVDwcVFBSgTZs2524nJydj2bJl\nVY5TJvfoJiIi/ThnExFVFTRYHjhwIPbu3Vvl/smTJ+O6664L+c09Ho/1MyMiIlM4ZxMR6Rc0WP78\n889tffOkpCTk5+efu52fn4/k5GRb35OIiPzjnE1EpJ+W1nGBLsn17dsXeXl52L59O0pKSvDuu+9i\n6NChOoYkIiKLOGcTERlnOVj+6KOP0KZNGyxduhTXXHMNBg8eDADYvXs3rrnmGgBAfHw8XnjhBVx1\n1VXo0qULbr75ZnTu3FnPmRMRkWGcs4mIrPEortQgIiIiIvKLO/gREREREQXAYJmIiIiIKAAGy0RE\nREREATBYJiIiIiIKgMEyEREREVEADJaJiIiIiAJgsExEREREFACDZSIiIiKiABgsExEREREFwGCZ\niIiIiCgABstERERERAEwWCYiIiIiCoDBMhERERFRAAyWiYiIiIgCYLBMRERERBQAg2UiIiIiogAY\nLBMRERERBcBgmYiIiIgoAAbLREREREQBMFgmIiIiIgqAwTIRERERUQAMlomIiIiIAmCwTEREREQU\nAINlIiIiIqIAGCwTEREREQXAYJmIiIiIKAAGy0REREREATBYJiIiIiIKgMEyEREREVEADJaJiIiI\niAJgsExEREREFICtYHncuHFITExE9+7d/T5+6NAhDB8+HD179kT//v3x448/2hmOiIgMyM7ORkZG\nBtLT0zF16lS/x0ycOBHp6eno2bMnVq1ade7+4uJijBgxAp07d0aXLl2wdOnS6jptIqKwZCtYHjt2\nLLKzswM+PnnyZPTu3Rtr1qzBjBkzcP/999sZjoiIQigtLcW9996L7Oxs5ObmYubMmVi/fn2FY+bN\nm4fNmzcjLy8Pr7zyCiZMmHDusfvvvx9DhgzB+vXrsXbtWnTu3Lm6XwIRUVixFSwPGDAAjRs3Dvj4\n+vXrcfnllwMAOnXqhO3bt2Pfvn12hiQioiCWL1+OtLQ0pKSkoGbNmhg1ahRmz55d4Zg5c+ZgzJgx\nAID+/fujuLgYhYWFOHz4ML7++muMGzcOABAfH4+GDRtW+2sgIgon8U5+8549e+LDDz/EJZdcguXL\nl2PHjh3YtWsXmjdvXuE4j8fj5GkQETlKKeX2KZxTUFCANm3anLudnJyMZcuWhTxm165diIuLQ/Pm\nzTF27FisWbMGffr0wbPPPou6detWeD7nbCKKZGbnbEcX+D300EMoLi5GZmYmXnjhBWRmZiIuLs7v\nsUqpmPp69NFHXT8Hvl6+Zr5m+1/hxmggW/ncPR4Pzp49i5UrV+JXv/oVVq5ciXr16mHKlCkBnx9L\nX7H4u83XHP1fsfZ6lbI2ZzuaWU5ISMAbb7xx7nb79u3RoUMHJ4ckIoppSUlJyM/PP3c7Pz8fycnJ\nQY/ZtWsXkpKSoJRCcnIyzj//fADAiBEjAgbLRESxwtHM8uHDh1FSUgIAePXVV3HZZZehfv36Tg5J\nRBTT+vbti7y8PGzfvh0lJSV49913MXTo0ArHDB06FDNmzAAALF26FI0aNUJiYiJatmyJNm3aYNOm\nTQCAL774Al27dq3210BEFE5sZZZHjx6NhQsXYv/+/WjTpg0mTZqEM2fOAADGjx+P3Nxc3H777fB4\nPOjWrRtef/11LScdDbKystw+hWoVa68X4Gsmd8THx+OFF17AVVddhdLSUtxxxx3o3Lkzpk2bBkDm\n5iFDhmDevHlIS0tDvXr1MH369HPPf/755/Hzn/8cJSUlSE1NrfBYLIvF322+5ugXa6/XKo+yWsCh\n8yQ8Hst1JEREborF+SsWXzMRRQcr8xd38CMiIiIiCoDBMhERERFRAAyWiYiIiIgCYLBMRERERBQA\ng2UiIiIiogAYLBMRERERBcBgmYiIiIgoAAbLREREREQBMFgmIiIiIgqAwTIRERERUQAMlomIiIiI\nAmCwTEREREQUAINlIiIiIqIAGCwTEREREQVgK1geN24cEhMT0b17d7+P79+/H1dffTV69eqFbt26\n4c033wz4vbZvt3MmRERERET62QqWx44di+zs7ICPv/DCC8jMzMTq1auRk5ODBx98EGfPnvV77Msv\n2zkTIiIiIiL94u08ecCAAdgeJCXcqlUrrF27FgBw5MgRNG3aFPHx/od8/vnHEB8PxMcDWVlZyMrK\nsnNqRESOyMnJQU5OjtunQURE1cSjlFJ2vsH27dtx3XXXYd26dVUeKysrw89+9jNs2rQJR48exXvv\nvYfBgwdXPQmPB1ddpXDLLcAvfmHnbIiIqpfH44HNaTTixOJrJqLoYGX+cnSB3+TJk9GrVy/s3r0b\nq1evxj333IOjR4/6Pfaee4AXXnDybIiIiIiIzHE0WF6yZAluuukmAEBqairat2+PjRs3+j12yBCg\nqAj4/nsnz4iIiIiIyDhHg+WMjAx88cUXAIDCwkJs3LgRHTp08HtsXBxw113AtGlOnhERERERkXG2\napZHjx6NhQsXYv/+/UhMTMSkSZNw5swZAMD48eOxf/9+jB07Fjt37kRZWRn+8Ic/4JZbbql6Ej/V\nj+zdC3TuLG3kGja0/JqIiKpNLNbvxuJrJqLoYGX+sr3ATwffE7/pJuDyy4Ff/crlkyIiMiAWA8dY\nfM1EFB3CboGfFXffLT2XOQ8TERERkdvCLli+/HLg5Elg6VK3z4SIiIiIYl3YBcs1agDjx3NHPyIi\nq7Kzs5GRkYH09HRMnTrV7zETJ05Eeno6evbsiVWrVlV4rLS0FJmZmbjuuuuq43SJiMJa2AXLAHD7\n7cDs2cDBg26fCRFRZCktLcW9996L7Oxs5ObmYubMmVi/fn2FY+bNm4fNmzcjLy8Pr7zyCiZMmFDh\n8WeffRZdunSBx+OpzlMnIgpLYRksN2sGXHstMGOG22dCRBRZli9fjrS0NKSkpKBmzZoYNWoUZs+e\nXeGYOXPmYMyYMQCA/v37o7i4GIWFhQCAXbt2Yd68efjlL3/JRXxERADi3T6BQMaPB+68E7j/foDJ\nDSIiYwoKCv6/vfuPq7K+/z/+QKGVkvn7YByaNVAhUSmIOUedYqRZkr9WsE9JoEZblvZjZt/VbfC5\nTSdZrdLVWm2mNX+09ZmwRJxmh/xUgE1LNvskGSxAYUPFcraJdL5/XEkqoMDhnOtwXc/77Xbd4DrX\nm3O93su9ePE+7+v9JiIiouXc6XRSWlp6zja1tbU4HA7uu+8+li1bxmeffXbW++Tk5LR873K5cLlc\n3RK/iEh3crvduN1ur94jYIvl737X2KikuBiUg0VEOqajUyfOHDX2eDy8/vrrDB06lLi4uHP+cjm1\nWBYRCVRn/jGfm5vb6fcIyGkYYIwm33WXdvQTEemM8PBwqqurW86rq6txOp1nbVNTU0N4eDjvvPMO\nBQUFXHrppaSnp7Nt2zZmzZrlt9hFRAJRwBbLALffDps2wT/+YXYkIiI9Q3x8PBUVFVRVVXH8+HHW\nr19PamrqaW1SU1NZ/dVDISUlJfTv35+wsDCWLFlCdXU1lZWVrFu3juuuu66lnYiIXQXsNAyA/v1h\n+nR46SVYuNDsaEREAl9wcDArVqxg4sSJNDc3M3v2bKKjo3n+q4/psrOzmTx5MoWFhURGRtK3b19W\nrlzZ5ntpNQwRkQDc7vpMZWWQng4VFcYazCIigcSOWz/bsc8iYg2W2O76TAkJ0K8fbN1qdiQiIiIi\nYjcBXyzrQT8RERERMYtXxXJWVhYOh4PY2Ng2rz/++OPExcURFxdHbGwswcHBNDY2dvo+P/gBvPkm\n7N/vTbQiIiIiIp3j1Zzl7du3ExoayqxZsygvLz9r29dff52nnnqKrW3Mp+jI/JG77oLwcHj00a5G\nKyLS/ew4f9eOfRYRa/D7nOWkpCQGDBjQobZr1qwhPT29y/fKzoYXXoDm5i6/hYiIiIhIp/hl6bhj\nx46xefNmnn322XbbnGvr1Lg4uPhiY93lm27yUaAiIufQHVuniohIz+H10nFVVVVMmTLlrNMw1q9f\nz5o1a8jPz287iA4Oia9cCa+9Bq+/3uVwRUS6lR2nJNixzyJiDQG7dNy6deu8moJx0q23wrvvwt//\n3g1BiYiIiIicg8+L5SNHjvDWW29x8803e/1effrAbbfBiy92Q2AiIiIiIufg1TSM9PR0iouLaWho\nwOFwkJubS1NTE2BsqQqwatUqNm/ezJo1a9oPohND4nv2QHKyMbp83nldjVxEpHvYcUqCHfssItbQ\nlfwV8NtdtyU5GebMMbbBFhExkx0LRzv2WUSsIWDnLHe3e+6B5cvNjkJERERErK5HFss33QS1tfCX\nv5gdiYiIiIhYWY8sloOD4Uc/0uiyiIiIiPhWj5yzDHDwIERGwt69MGSIjwITETkHO87ftWOfRcQa\nbDNnGWDQIJg2TcvIiYiIiIjv9NiRZYBdu+Dmm+GTT4ypGSIi/mbHUVY79llErMFWI8sAcXFwySVQ\nUGB2JCIiIiJiRT26WAaYN08P+omIiIiIb/T4YnnGDOMhv/JysyMREREREavp8cVySAhkZ8OKFWZH\nIiIiIiJW06Mf8Duprg6io40H/QYM6MbARETOwY4Pu9mxzyJiDbZ7wO+ksDC48UYtIyciIiIi3csS\nI8tgbH09bRrs22dMzRAR8Qc7jrLasc8iYg22HVkGuPJKuPRSeO01syMREREREavwqljOysrC4XAQ\nGxvbbhu3201cXByjR4/G5XJ5c7tzuv9+ePJJ0ICHiNhdUVERo0aNIioqiry8vDbb3HvvvURFRTF2\n7Fh27doFQHV1Nddeey2XX345o0eP5plnnvFn2CIiAceraRjbt28nNDSUWbNmUd7G2m2NjY1MmDCB\nzZs343Q6aWhoYPDgwa2D6KaP9JqbYeRIWLUKJkzw+u1ERM4pEKckNDc3M3LkSLZu3Up4eDgJCQms\nXbuW6OjoljaFhYWsWLGCwsJCSktLmT9/PiUlJdTV1VFXV8e4ceM4evQoV155JRs2bDjtZwOxzyIi\nHeH3aRhJSUkMOMvyE2vWrGHGjBk4nU6ANgvl7tS7NyxYYIwui4jYVVlZGZGRkQwfPpyQkBDS0tLI\nz88/rU1BQQEZGRkAJCYm0tjYSH19PWFhYYwbNw6A0NBQoqOj2b9/v9/7ICISKIJ9+eYVFRU0NTVx\n7bXX8vnnnzN//nxuv/32Ntvm5OS0fO9yubo8ZeOOOyAnx1hG7rLLuvQWIiLtcrvduN1us8M4q9ra\nWiIiIlrOnU4npaWl52xTU1ODw+Foea2qqopdu3aRmJjY6h7dlbNFRHypO3K2T4vlpqYmdu7cyRtv\nvMGxY8cYP3483/72t4mKimrV9tTE643QUJg9G555Bp56qlveUkSkxZmFYW5urnnBtCMoKKhD7c78\nKPLUnzt69CgzZ87k6aefJjQ0tNXPdlfOFhHxpe7I2T5dDSMiIoLrr7+eCy64gEGDBnH11VfzwQcf\n+PKWANxzD6xeDUeO+PxWIiIBJzw8nOrq6pbz6urqlulw7bWpqakhPDwcMAY6ZsyYwW233cbUqVP9\nE7SISIDyabF8880387//+780Nzdz7NgxSktLiYmJ8eUtAXA64YYbtEmJiNhTfHw8FRUVVFVVcfz4\ncdavX09qauppbVJTU1m9ejUAJSUl9O/fH4fDgcfjYfbs2cTExLBgwQIzwhcRCSheTcNIT0+nuLiY\nhoYGIiIiyM3NpampCYDs7GxGjRrFpEmTGDNmDL169WLu3Ll+KZYB7rsPpk+H+fMh2KeTTUREAktw\ncDArVqxg4sSJNDc3M3v2bKKjo3n++ecBIz9PnjyZwsJCIiMj6du3LytXrgTg7bff5pVXXmHMmDHE\nxcUB8POf/5xJkyaZ1h8RETNZZge/tlx9Ndx9N9x6a7e/tYgIYM9l1OzYZxGxBlvv4NeW+++HJ57Q\nJiUiIiIi0jWWLpanTDEe8isuNjsSEREREemJLF0s9+4NCxfC0qVmRyIiIiIiPZGl5ywD/Oc/xuYk\nGzfCV5tSiYh0GzvO37Vjn0XEGjRnuQ3f+IaxBfZjj5kdiYiIiIj0NJYfWQb47DNjdLmsTFtgi0j3\nsuMoqx37LCLWoJHldvTrB3feaayMISIiIiLSUbYYWQaor4dRo+Cjj2DoUJ/eSkRsxI6jrHbss4hY\ng0aWz8LhgLQ0eOYZsyMRERERkZ7CNiPLAPv2QWIiVFbChRf6/HYiYgN2HGW1Y59FxBo0snwO3/oW\nJCfDr39tdiQiIiIi0hPYamQZYNcuuPFGY5T5ggv8cksRsTA7jrLasc8iYg0aWe6AuDiIj4ff/Mbs\nSEREREQk0HlVLGdlZeFwOIiNjW3zutvt5qKLLiIuLo64uDh+9rOfeXO7bvPoo5CXZ+zuJyIiIiLS\nHq+K5czMTIqKis7a5pprrmHXrl3s2rWLRx55xJvbdZuEBIiNhZdeMjsSEREREQlkXhXLSUlJDBgw\n4KxtAnVe26OPws9/Dk1NZkciIiIiIoEq2JdvHhQUxDvvvMPYsWMJDw/n8ccfJyYmps22OTk5Ld+7\nXC5cLpcvQ2P8eIiKgpdfhqwsn95KRCzE7XbjdrvNDkNERPzE69UwqqqqmDJlCuXl5a2uff755/Tu\n3Zs+ffqwadMm5s+fz969e1sHYdKT1du3wx13GLv6Bfv0zwYRsSo7rgxhxz6LiDUE3GoYF154IX36\n9AHghhtuoKmpiUOHDvnylp2SlASXXAJr1pgdiYiIiIgEIp8Wy/X19S3Ve1lZGR6Ph4EDB/ryssLf\nPgAAHX5JREFUlp326KOweDE0N5sdiYiIiIgEGq8mH6Snp1NcXExDQwMRERHk5ubS9NUTc9nZ2fzh\nD3/gueeeIzg4mD59+rBu3bpuCbo7XXstDBkC69fDD35gdjQiIiIiEkhst4NfW7Zuhbvvhr/9TXOX\nRaRzzM5fZrBjn0XEGgJuznJPkZwMw4YZK2OIiIiIiJykkeWvvP02/Nd/GStjfOMbpoYiIj1IIOQv\nf7Njn0XEGjSy7IUJEyAmBl580exIRERERCRQqFg+xc9+BkuWwLFjZkciItJ1RUVFjBo1iqioKPLy\n8tpsc++99xIVFcXYsWPZtWtXp35WRMROVCyf4oorjJ39fvlLsyMREema5uZm5s2bR1FREXv27GHt\n2rV8+OGHp7UpLCzk448/pqKigl//+tf88Ic/7PDPiojYjdZ+OMN//ze4XJCdDf36mR2NiEjnlJWV\nERkZyfDhwwFIS0sjPz+f6OjoljYFBQVkZGQAkJiYSGNjI3V1dVRWVp7zZ08KCso55cz11SEiEmjc\nXx1dp2L5DDExMGkSPPkk5OSYHY2ISOfU1tYSERHRcu50OiktLT1nm9raWvbv33/Onz3J48np3sBF\nRHzCxal/zAcF5Xb6HTQNow05ObB8ORw8aHYkIiKdExQU1KF2Ws1CRKRjVCy34bLL4JZbjIf9RER6\nkvDwcKqrq1vOq6urcTqdZ21TU1OD0+ns0M+KiNiNiuV2/PSn8NJLUFlpdiQiIh0XHx9PRUUFVVVV\nHD9+nPXr15Oamnpam9TUVFavXg1ASUkJ/fv3x+FwdOhnRUTsRnOW2xEWBvfeCz/5CaxZY3Y0IiId\nExwczIoVK5g4cSLNzc3Mnj2b6Ohonn/+eQCys7OZPHkyhYWFREZG0rdvX1auXHnWnxURsTPt4HcW\nR4/CyJGwYQMkJJgdjYgEokDNX75kxz6LiDVoB79uFhpqPOz34IOg3wsiIiIi9qNi+RwyM6GhAf70\nJ7MjERERERF/86pYzsrKwuFwEBsbe9Z2O3bsIDg4mP/5n//x5namCA6Gxx6Dhx6CEyfMjkZERERE\n/MmrYjkzM5OioqKztmlubuahhx5i0qRJPXaO2+TJMGwYvPii2ZGIiIiIiD95VSwnJSUxYMCAs7ZZ\nvnw5M2fOZMiQId7cylRBQfD448b85cZGs6MREREREX/x6dJxtbW15Ofns23bNnbs2HHWnaVyTtlb\n2uVy4XK5fBlap11xBaSmQm4u/OIXZkcjImZxu9243W6zwxARET/xeum4qqoqpkyZQnl5eatr3//+\n93nwwQdJTEzkjjvuYMqUKcyYMaN1ED1kGaJ//hNiYqC42PgqItJT8ld3smOfRcQaupK/fDqy/Je/\n/IW0tDQAGhoa2LRpEyEhIT12R6ghQ+CRR2DBAti82ZieISIiIiLW5dOl4z755BMqKyuprKxk5syZ\nPPfccz22UD7pRz+C2looKDA7EhERERHxNa9GltPT0ykuLqahoYGIiAhyc3NpamoCjC1VrSgkBJ56\nCu66CyZOhPPPNzsiEREREfEVbXfdRdOmGVtg/7//Z3YkImKmnpi/vGXHPouINXQlf6lY7qJPPoGr\nroKdO+GSS8yORkTM0hPzl7fs2GcRsYau5C9td91Fl10G8+fDPfeYHYmIiIiI+IqKZS8sXAgffQQb\nNpgdiYiIiIj4gqZheMnthlmz4G9/gwsvNDsaEfG3npy/usqOfRYRa9CcZZPccQcMHAhPPml2JCLi\nbz09f3WFHfssItagYtkk//wnjB4NRUUQF2d2NCLiTz09f3WFHfssItagB/xMMmQILFkC2dnQ3Gx2\nNCIiIiLSXVQsd5PMTGODkuXLzY5ERERERLqLpmF0o4oKGD8eSkogMtLsaETEH6ySvzrDjn0WEWvQ\nNAyTRUXBT34Cs2fDl1+aHY2IiIiIeEvFcje79144cQKefdbsSERERETEW5qG4QMffQQTJkBZmbHT\nn4hYl9XyV0fYsc8iYg2ahhEgRo6ERYs0HUNERESkp/OqWM7KysLhcBAbG9vm9fz8fMaOHUtcXBxX\nXnkl27Zt8+Z2Pcp998G//63pGCLiX4cOHSIlJYURI0Zw/fXX09jY2Ga7oqIiRo0aRVRUFHl5eS2v\n//jHPyY6OpqxY8cyffp0jhw54q/QRUQCklfTMLZv305oaCizZs2ivLy81fV//etf9O3bF4Dy8nKm\nTZvGxx9/3DoIi36kt3evMR3jrbcgOtrsaETEFwItfy1cuJDBgwezcOFC8vLyOHz4MEuXLj2tTXNz\nMyNHjmTr1q2Eh4eTkJDA2rVriY6OZsuWLSQnJ9OrVy8WLVoE0OrnA63PIiId5fdpGElJSQwYMKDd\n6ycLZYCjR48yePBgb27X44wYYWxW8oMfwH/+Y3Y0ImIHBQUFZGRkAJCRkcGGDRtatSkrKyMyMpLh\nw4cTEhJCWloa+fn5AKSkpNCrl/GrITExkZqaGv8FLyISgIJ9fYMNGzbw8MMPc+DAAf785z+32y4n\nJ6fle5fLhcvl8nVofjFnDmzcCI88AsuWmR2NiHjL7XbjdrvNDqNd9fX1OBwOABwOB/X19a3a1NbW\nEhER0XLudDopLS1t1e63v/0t6enpbd7HqjlbRKylO3K216thVFVVMWXKlDanYZxq+/btzJkzh48+\n+qh1EBb/SK+hAcaOhdWrITnZ7GhEpDuZkb9SUlKoq6tr9frixYvJyMjg8OHDLa8NHDiQQ4cOndbu\ntddeo6ioiBdeeAGAV155hdLSUpafsgXp4sWL2blzJ6+99lqr+1g9Z4uIdXUlf/l8ZPmkpKQkTpw4\nwcGDBxk0aJC/bhsQBg+GlSvhjjvg/ffBZt0XkW62ZcuWdq85HA7q6uoICwvjwIEDDB06tFWb8PBw\nqqurW86rq6txOp0t5y+99BKFhYW88cYb3Ru4iEgP5NOl4/bt29dSve/cuRPAdoXySddfDzNnwty5\noAEZEfGV1NRUVq1aBcCqVauYOnVqqzbx8fFUVFRQVVXF8ePHWb9+PampqYCxSsayZcvIz8/n/PPP\n92vsIiKByKtpGOnp6RQXF9PQ0IDD4SA3N5empiYAsrOzeeyxx1i9ejUhISGEhoby5JNPkpCQ0DoI\nm3yk95//GKtj3H47zJ9vdjQi0h0CLX8dOnSIW265hU8//ZThw4fz6quv0r9/f/bv38/cuXPZuHEj\nAJs2bWLBggU0Nzcze/ZsHn74YQCioqI4fvw4AwcOBGD8+PE8e8YamIHWZxGRjupK/tIOfn5WWQmJ\niZCfD+PHmx2NiHjLTvnrJDv2WUSsQTv49QCXXgovvgi33mo8+CciIiIigUsjyyZ56CH44AMoLIRe\n+pNFpMeyY/6yY59FxBo0styDLF4Mx44ZX0VEREQkMGlk2UT790N8vDEtY/Jks6MRka6wY/6yY59F\nxBo0stzDXHwx/OEPxvrLH35odjQiIiIiciYVyyb7zncgLw9SU+GMTbZERERExGSahhEg7r8fysth\n0yYI9tu+iiLiLTvmLzv2WUSsQdMwerDHHoPeveGBB8yOREREREROUrEcIIKDYd062LwZnnvO7GhE\nREREBEAf+AeQ/v1h40ZISjIe/rv5ZrMjEhEREbE3FcsB5lvfgoICuOEGGDpUW2KLiIiImEnTMAJQ\nfDysXg3TpsHevWZHIyIiImJfKpYD1A03wJIlMGkS1NWZHY2IiIiIPWkaRgDLyoKaGpg4Ed58EwYO\nNDsiEREREXvxamQ5KysLh8NBbGxsm9d/97vfMXbsWMaMGcOECRPYvXu3N7ezpUcfhZQUo2A+csTs\naERERETsxatiOTMzk6KionavX3bZZbz11lvs3r2bRx99lDvvvNOb29lSUBAsWwaJiXDjjXD0qNkR\niYiIiNiHV8VyUlISAwYMaPf6+PHjueiiiwBITEykpqbGm9vZVlAQPPMMjBxpbIv9xRdmRyQiIiJi\nD36bs/yb3/yGyZMnt3s9Jyen5XuXy4XL5fJ9UD1Ir17w61/DrFnGKhl//CNccIHZUYnYj9vtxu12\nmx2GiIj4SZCnsxtkn6GqqoopU6ZQXl7ebps333yTu+++m7fffrvNkeiu7NNtVydOQEYGHDhgrMcc\nGmp2RCL2Zsf8Zcc+i4g1dCV/+XzpuN27dzN37lwKCgrOOmVDOiY42FiD+bLL4PrrobHR7IhERERE\nrMunxfKnn37K9OnTeeWVV4iMjPTlrWyld29jSkZCAiQnQ0OD2RGJiIiIWJNX0zDS09MpLi6moaEB\nh8NBbm4uTU1NAGRnZzNnzhz++Mc/cskllwAQEhJCWVlZ6yD0kV6XeDzwk58Y0zGKisDpNDsiEfux\nY/6yY59FxBq6kr+8nrPcHZR4vfPYY7BiBWzcCO0seS0iPmLH/GXHPouINahYtrG1a2H+fFi3Dq67\nzuxoROzDjvnLjn0WEWsIyAf8xD/S0+H3vze+vvyy2dGIiIiIWIOKZQu55hrYtg0eeQR++lP48kuz\nIxIRfzp06BApKSmMGDGC66+/nsZ2lsspKipi1KhRREVFkZeX1+r6E088Qa9evTh06JCvQxYRCXgq\nli3m8suhtBTeeMPYvOSzz8yOSET8ZenSpaSkpLB3716Sk5NZunRpqzbNzc3MmzePoqIi9uzZw9q1\na/nwww9brldXV7Nlyxa++c1v+jN0EZGApWLZgsLCjBHmYcPg29+GvXvNjkhE/KGgoICMjAwAMjIy\n2LBhQ6s2ZWVlREZGMnz4cEJCQkhLSyM/P7/l+v33389jjz3mt5hFRAKd37a7Fv867zz41a/g+efh\nu9+FlSvhxhvNjkpEfKm+vh6HwwGAw+Ggvr6+VZva2loiIiJazp1OJ6WlpQDk5+fjdDoZM2bMOe+V\nk5PT8r3L5cLlcnkXvIiID7jdbtxut1fvoWLZ4rKzYfRoSEszjsWLjUJaRHqmlJQU6urqWr2+ePHi\n086DgoIICgpq1a6t1wC++OILlixZwpYtW1peO9sT46cWyyIigerMP+Zzc3M7/R4qlm1gwgTYtQvu\nuAOSkozl5S691OyoRKQrTi1mz+RwOKirqyMsLIwDBw4wdOjQVm3Cw8Oprq5uOa+ursbpdLJv3z6q\nqqoYO3YsADU1NVx55ZWUlZW1+T4iInahOcs2MXgw/OlPxuhyYqKxzJyIWEtqaiqrVq0CYNWqVUyd\nOrVVm/j4eCoqKqiqquL48eOsX7+e1NRURo8eTX19PZWVlVRWVuJ0Otm5c6cKZRGxPRXLNhIUBPfd\nB4WFxjbZt90GWhlKxDoWLVrEli1bGDFiBNu2bWPRokUA7N+/nxu/emghODiYFStWMHHiRGJiYrj1\n1luJjo5u9V7tTdcQEbEb7eBnU8eOwcMPwx/+YDwEeNNNZkck0jPZMX/Zsc8iYg3a7lo6rbgYMjON\nDU2eeAIGDjQ7IpGexY75y459FhFr0HbX0mnXXAO7d0PfvsaGJqtXg34HioiIiBg0siwtduyAu+6C\nfv3g2WehjWmMInIGO+YvO/ZZRKzB7yPLWVlZOBwOYmNj27z+f//3f4wfP57zzz+fJ554wptbiR8k\nJEBZGUyfDldfDQsXwpEjZkclIiIiYh6viuXMzEyKioravT5o0CCWL1/Ogw8+6M1txI9694Z77jGm\nZhw6BCNHwi9/CU1NZkcmIiIi4n9ebUqSlJREVVVVu9eHDBnCkCFD2Lhx4znfS1unBpZhw+DFF+GD\nD+CBB2DFCsjLgylTjCXoROyqO7ZOFRGRnsPrOctVVVVMmTKF8vLydtvk5uYSGhrKAw880HYQmv8W\n0DweY23mRYvgggsgNxcmTVLRLAL2zF927LOIWINWwxCfCAqCG280Rpl//GN48EEYPx7+/GetnCEi\nIiLWpmJZOqxXL/j+9435zAsWwPz5RtH82mvQ3Gx2dCIiIiLdzy/Fsj6us5bevSEtDf76V2Okedky\n40HAZ581dgYUERERsQqv5iynp6dTXFxMQ0MDDoeD3Nxcmr5aNiE7O5u6ujoSEhL47LPP6NWrFxde\neCF79uwhNDT09CA0/61H83jgnXfg8cfh7bdhzhy4804YPtzsyER8z475y459FhFr0HbXYrq9e+G5\n5+Dll+Gqq4xNTiZPhmCv1l0RCVx2zF927LOIWIOKZQkYX3wBr74Kv/oV1NRARgbcfrsxXUPESuyY\nv+zYZxGxBhXLEpA++ABWr4Y1a8DpNIrmtDQYOtTsyES8Z8f8Zcc+i4g1qFiWgHbiBGzbZkzR+NOf\njJU0ZsyA1FQVztJz2TF/2bHPImINKpalxzh6FF5/Hf74R9i8GcaMgenTYdo0+OY3zY5OpOPsmL/s\n2GcRsQYVy9Ij/fvfsHWrUTgXFEBYGEycaBxJSXD++WZHKNI+O+YvO/ZZRKxBxbL0eM3N8N57xmjz\n5s3GBigTJhiFc3IyjB5tbI4iEijsmL/s2GcRsQYVy2I5jY3wxhtG4ex2Q0ODUTxffbUx6nzllRAS\nYnaUYmd2zF927LOIWIOKZbG8ujrYvt043noL9u0zCuaEBOOIj4dLL4WgILMjFbuwY/6yY59FxBpU\nLIvtNDZCWRns2GFM39ixw5gDHR9vHOPGGVM3IiO1MYr4hh3zlx37LCLWoGJZBDhw4OvCefduKC83\nXhs5EmJjjeI5NhZiYiAiQnOgxTt2zF927LOIWIOKZZF2HD0Ke/bAX/9qFM9//atxfugQXHYZREWd\nfowYARdfrOkccm52zF927LOIWIOKZZFO+te/4OOPoaLi9GPvXvjsM2Pk+ZJLjOOb3zz9e6dTy9qJ\nPfOXHfssItagYrkHcbvduFwus8Pwm57Y32PH4NNPvz7+/vfTz2tqIDTUWBc6LAyGDfv6+7Aw+Mc/\n3Eyc6MLhgAEDoHdvs3vkez3xv7O37Ji/7NhnO/7bVp+tz279ha7lL68eecrKymLjxo0MHTqU8vLy\nNtvce++9bNq0iT59+vDSSy8RFxfnzS0tw27/QHtif/v0gVGjjKMtX35pTOOoqzPmRJ/8un8/7NwJ\n777r5oUXXNTXG6PU/frBoEEwcKDxta1jwAC46CKj7cmjb9+eM6+6J/53tpJDhw5x66238ve//53h\nw4fz6quv0r9//1btioqKWLBgAc3NzcyZM4eHHnqo5dry5ct59tln6d27NzfeeCN5eXn+7ELAsuO/\nbfXZ+uzW367yqljOzMzknnvuYdasWW1eLyws5OOPP6aiooLS0lJ++MMfUlJS4s0tRQJGr14weLBx\njB7d+npOjnGAsdnK4cNGcX3w4NfHyfPy8q/PP//cKK5PHseOGSPY/fq1LqT79TOu9enTtUMrhFjL\n0qVLSUlJYeHCheTl5bF06VKWLl16Wpvm5mbmzZvH1q1bCQ8PJyEhgdTUVKKjo3nzzTcpKChg9+7d\nhISE8M9//tOknoiIBA6vflUmJSVRVVXV7vWCggIyMjIASExMpLGxkfr6ehwOhze3Felxevf+urDu\nrObm1gX0mccXXxhF9cGDxtczj5PXTz3+9S/j/b/xDeM477yvvz/z/FzXQkKMwnv7dliyxPg+OPjr\n19s7znU9ONj4o+RcR+/eHW8XFGTdBzcLCgooLi4GICMjA5fL1apYLisrIzIykuHDhwOQlpZGfn4+\n0dHRPPfcczz88MOEfLXTz5AhQ/wav4hIQPJ4qbKy0jN69Og2r910002et99+u+U8OTnZ895777Vq\nB+jQoUNHjz0CRf/+/Vu+//LLL087P+n3v/+9Z86cOS3nL7/8smfevHkej8fjGTdunOenP/2pJzEx\n0XPNNdd4duzY0eZ9zP7fW4cOHTq8OTrL5x/Ces6YRB3UxpDOmW1ERKRtKSkp1NXVtXp98eLFp50H\nBQW1mW/beu2kEydOcPjwYUpKStixYwe33HILn3zySat2ytkiYic+LZbDw8Oprq5uOa+pqSE8PNyX\ntxQRsbQtW7a0e83hcFBXV0dYWBgHDhxg6NChrdqcmZerq6txOp0AOJ1Opk+fDkBCQgK9evXi4MGD\nDBo0qJt7ISLSc/j0GfvU1FRWr14NQElJCf3799d8ZRERH0lNTWXVqlUArFq1iqlTp7ZqEx8fT0VF\nBVVVVRw/fpz169eTmpoKwNSpU9m2bRsAe/fu5fjx4yqURcT2vFpnOT09neLiYhoaGnA4HOTm5tLU\n1ARAdnY2APPmzaOoqIi+ffuycuVKrrjiiu6JXERETnPo0CFuueUWPv3009OWjtu/fz9z585l48aN\nAGzatKll6bjZs2fz8MMPA9DU1ERWVhbvv/8+5513Hk888YSWlRIR6fQs5262adMmz8iRIz2RkZGe\npUuXmh2Oz3366acel8vliYmJ8Vx++eWep59+2uyQ/OLEiROecePGeW666SazQ/GLw4cPe2bMmOEZ\nNWqUJzo62vPuu++aHZLPLVmyxBMTE+MZPXq0Jz093fPvf//b7JC6XWZmpmfo0KGnPdR88OBBz/e+\n9z1PVFSUJyUlxXP48GETI/Q95Wx75GyPR3nb6nlbObvjOdvUrQ5OrvdZVFTEnj17WLt2LR9++KGZ\nIflcSEgIv/jFL/jb3/5GSUkJv/zlLy3fZ4Cnn36amJiYsz5cZCXz589n8uTJfPjhh+zevZvo6Giz\nQ/KpqqoqXnjhBXbu3El5eTnNzc2sW7fO7LC6XWZmJkVFRae9dnJt471795KcnNxqqTYrUc62T84G\n5W0r523l7M7lbFOL5VPX+wwJCWlZ79PKwsLCGDduHAChoaFER0ezf/9+k6PyrZqaGgoLC5kzZ44t\nnqI/cuQI27dvJysrC4Dg4GAuuugik6PyrX79+hESEsKxY8c4ceIEx44ds+TDvElJSQwYMOC0105d\nTz4jI4MNGzaYEZpfKGfbI2eD8rbV87ZydudytqnFcm1tLRERES3nTqeT2tpaEyPyr6qqKnbt2kVi\nYqLZofjUfffdx7Jly+jVU/Zs9lJlZSVDhgwhMzOTK664grlz53Ls2DGzw/KpgQMH8sADD3DJJZdw\n8cUX079/f773ve+ZHZZfnLrRksPhoL6+3uSIfEc52x45G5S3rZ63lbM7l7NN/X+BXT7aacvRo0eZ\nOXMmTz/9NKGhoWaH4zOvv/46Q4cOJS4uzhajE2CsVbtz505+9KMfsXPnTvr27Wvpj+YB9u3bx1NP\nPUVVVRX79+/n6NGj/O53vzM7LL9rb21jq7By387FLjkblLftkLeVsw0dzdmmFstnW+/Typqampgx\nYwa33XZbm0s7Wck777xDQUEBl156Kenp6Wzbto1Zs2aZHZZPOZ1OnE4nCQkJAMycOZOdO3eaHJVv\nvffee3znO99h0KBBBAcHM336dN555x2zw/KLk2sbA+2ubWwVytnWz9mgvA3Wz9vK2Z3L2aYWy2db\n79OqPB4Ps2fPJiYmhgULFpgdjs8tWbKE6upqKisrWbduHdddd13L2ttWFRYWRkREBHv37gVg69at\nXH755SZH5VujRo2ipKSEL774Ao/Hw9atW4mJiTE7LL/oyNrGVqGcbf2cDcrbYP28rZzdyZzti6U6\nOqOwsNAzYsQIz7e+9S3PkiVLzA7H57Zv3+4JCgryjB071jNu3DjPuHHjPJs2bTI7LL9wu92eKVOm\nmB2GX7z//vue+Ph4z5gxYzzTpk3zNDY2mh2Sz+Xl5bUsQzRr1izP8ePHzQ6p26WlpXmGDRvmCQkJ\n8TidTs9vf/tbz8GDBz3Jycm2WTpOOds+OdvjUd62MuXsjudsrzYlERERERGxMns85ioiIiIi0gUq\nlkVERERE2qFiWURERESkHSqWRURERETaoWJZRERERKQdKpZFRERERNoRbHYAIr5SWVnJokWL2Ldv\nH8OGDSMkJIQ1a9Zw/vnnmx2aiIicQTlbApWKZbGs2tpa1q9fz/PPP092drbZ4YiIyFkoZ0ug0jQM\nsazvfve7gLH3u4iIBDblbAlUKpbF0vbt20efPn3MDkNERDpAOVsCkYplsbTS0lKuuuoqs8MQEZEO\nUM6WQBTk8Xg8ZgchIiIiIhKINLIsIiIiItIOFcsiIiIiIu1QsSwiIiIi0g4VyyIiIiIi7VCxLCIi\nIiLSDhXLIiIiIiLtULEsIiIiItIOFcsiIiIiIu34//Y0BHG0ndSmAAAAAElFTkSuQmCC\n" } ], "prompt_number": 21 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Software versions" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from qutip.ipynbtools import version_table\n", "version_table()" ], "language": "python", "metadata": {}, "outputs": [ { "html": [ "
SoftwareVersion
Cython0.16
SciPy0.10.1
QuTiP2.2.0.dev-070e61d
Python2.7.3 (default, Sep 26 2012, 21:51:14) \n", "[GCC 4.7.2]
IPython0.13
OSposix [linux2]
Numpy1.7.0.dev-3f45eaa
matplotlib1.3.x
Wed Feb 20 17:18:15 2013
" ], "output_type": "pyout", "prompt_number": 22, "text": [ "" ] } ], "prompt_number": 22 } ], "metadata": {} } ] }