{ "metadata": { "name": "development-mcf90-test" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Development notebook with tests for the fortran monte carlo solver\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 *\n", "from pylab import *" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 2 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## ex24" ] }, { "cell_type": "code", "collapsed": false, "input": [ "def integrate(N, h, Jx, Jy, Jz, psi0, tlist, gamma, solver):\n", "\n", " si = qeye(2)\n", " sx = sigmax()\n", " sy = sigmay()\n", " sz = sigmaz()\n", "\n", " sx_list = []\n", " sy_list = []\n", " sz_list = []\n", " for n in range(N):\n", " op_list = []\n", " for m in range(N):\n", " op_list.append(si)\n", " op_list[n] = sx\n", " sx_list.append(tensor(op_list))\n", " op_list[n] = sy\n", " sy_list.append(tensor(op_list))\n", " op_list[n] = sz\n", " sz_list.append(tensor(op_list))\n", " \n", " # construct the hamiltonian\n", " H = 0 \n", " \n", " # energy splitting terms\n", " for n in range(N):\n", " H += - 0.5 * h[n] * sz_list[n]\n", " \n", " # interaction terms\n", " for n in range(N-1):\n", " H += - 0.5 * Jx[n] * sx_list[n] * sx_list[n+1]\n", " H += - 0.5 * Jy[n] * sy_list[n] * sy_list[n+1]\n", " H += - 0.5 * Jz[n] * sz_list[n] * sz_list[n+1] \n", "\n", " # collapse operators\n", " c_op_list = []\n", "\n", " # spin dephasing\n", " for n in range(N):\n", " if gamma[n] > 0.0:\n", " c_op_list.append(sqrt(gamma[n]) * sz_list[n])\n", " \n", " # evolve and calculate expectation values\n", " if solver == \"me\":\n", " output = mesolve(H, psi0, tlist, c_op_list, sz_list)\n", " elif solver == \"mc\":\n", " output = mcsolve(H, psi0, tlist, c_op_list, sz_list)\n", " elif solver == \"mcf90\":\n", " output = mcsolve_f90(H, psi0, tlist, c_op_list, sz_list)\n", "\n", " return output.expect" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 3 }, { "cell_type": "code", "collapsed": false, "input": [ "N = 4 # number of spins\n", "\n", "# array of spin energy splittings and coupling strengths. here we use\n", "# uniform parameters, but in general we don't have too\n", "h = 1.0 * 2 * pi * ones(N) \n", "Jz = 0.1 * 2 * pi * ones(N)\n", "Jx = 0.1 * 2 * pi * ones(N)\n", "Jy = 0.1 * 2 * pi * ones(N)\n", "\n", "# dephasing rate\n", "gamma = 0.01 * ones(N)\n", "\n", "# intial state, first spin in state |1>, the rest in state |0>\n", "psi_list = []\n", "psi_list.append(basis(2,1))\n", "for n in range(N-1):\n", " psi_list.append(basis(2,0))\n", "psi0 = tensor(psi_list)\n", "\n", "tlist = linspace(0, 50, 300)\n", "\n", "sz_expt = integrate(N, h, Jx, Jy, Jz, psi0, tlist, gamma, \"mcf90\")\n", "\n", "rc('font', family='Bitstream Vera Sans')\n", "for n in range(N):\n", " plot(tlist, real(sz_expt[n]), label=r'$\\langle\\sigma_z($'+str(n)+r'$)\\rangle$',lw=2)\n", "xlabel(r'Time [ns]',fontsize=14)\n", "ylabel(r'$\\langle\\sigma_{z}\\rangle$',fontsize=14)\n", "title(r'Dynamics of a Heisenberg spin chain')\n", "legend(loc = \"lower right\")\n", "\n", "show()" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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H5ENL8G8zEu54Dga9DGNGs6V5K7qNPMaUKdL6UVD4u6AIjLU4jEFgTCwYtUpF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\nCExZGVxeIz0T7iOyOXsWND2WczTjMP4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/VRg8eDB5eXns2LGDe+65h8mqX7Yerr+0MWPG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r9WRzCZNWsWr732Gg899BAAr7/+OnfddRdhSpzTYrEQERHR7HFMjbRuasqCKS8vJz4+3m2bw+Gg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\nAAAASUVORK5CYII=\n" } ], "prompt_number": 4 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## ex30" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# set system parameters\n", "kappa=2.0 # mirror coupling\n", "gamma=0.2 # spontaneous emission rate\n", "g=1 # atom/cavity coupling strength\n", "wc=0 # cavity frequency\n", "w0=0 # atom frequency\n", "wl=0 # driving frequency\n", "E=0.5 # driving amplitude\n", "N=4 # number of cavity energy levels (0->3 Fock states)\n", "tlist=linspace(0,10,101) #times for expectation values\n", "\n", "# construct Hamiltonian\n", "ida=qeye(N)\n", "idatom=qeye(2)\n", "a=tensor(destroy(N),idatom)\n", "sm=tensor(ida,sigmam())\n", "H=(w0-wl)*sm.dag()*sm+(wc-wl)*a.dag()*a+1j*g*(a.dag()*sm-sm.dag()*a)+E*(a.dag()+a)\n", "\n", "# collapse operators\n", "C1=sqrt(2*kappa)*a\n", "C2=sqrt(gamma)*sm\n", "C1dC1=C1.dag()*C1\n", "C2dC2=C2.dag()*C2\n", "\n", "# intial state\n", "psi0=tensor(basis(N,0),basis(2,1))\n", "\n", "# run monte-carlo solver with default 500 trajectories\n", "data = mcsolve_f90(H, psi0, tlist, [C1,C2], [C1dC1,C2dC2])\n", "\n", "# plot expectation values\n", "plot(tlist,data.expect[0],tlist,data.expect[1],lw=2)\n", "legend(('Transmitted Cavity Intensity','Spontaneous Emission'))\n", "ylabel('Counts')\n", "xlabel('Time')\n", "show()" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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Dw3G91m3BNjY2+OKLL/Daa681eV31xQkkJYnnrq6tsosWqypFcDUTY0wT1J4g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\nIAghhIT1L+L6CXqzBUgdAAAAAElFTkSuQmCC\n" } ], "prompt_number": 5 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## ex31" ] }, { "cell_type": "code", "collapsed": false, "input": [ "wa = 1.0 * 2 * pi # frequency of system a\n", "wb = 1.0 * 2 * pi # frequency of system a\n", "wab = 0.2 * 2 * pi # coupling frequency\n", "ga = 0.2 * 2 * pi # dissipation rate of system a\n", "gb = 0.1 * 2 * pi # dissipation rate of system b\n", "Na = 10 # number of states in system a\n", "Nb = 10 # number of states in system b\n", "E = 1.0 * 2 * pi # Oscillator A driving strength \n", "\n", "a = tensor(destroy(Na), qeye(Nb))\n", "b = tensor(qeye(Na), destroy(Nb))\n", "na = a.dag() * a\n", "nb = b.dag() * b\n", "H = wa*na + wb*nb + wab*(a.dag()*b+a*b.dag()) + E*(a.dag()+a)\n", "\n", "# start with both oscillators in ground state\n", "psi0 = tensor(basis(Na), basis(Nb))\n", "\n", "c_op_list = []\n", "c_op_list.append(sqrt(ga) * a)\n", "c_op_list.append(sqrt(gb) * b)\n", "\n", "tlist = linspace(0, 5, 101)\n", "\n", "data = mcsolve_f90(H, psi0, tlist, c_op_list, [na,nb])\n", "\n", "# plot results\n", "figure()\n", "plot(tlist,data.expect[0],'b',tlist,data.expect[1],'r',lw=2)\n", "xlabel('Time',fontsize=14)\n", "ylabel('Excitations',fontsize=14)\n", "legend(('Oscillator A', 'Oscillator B'))\n", "show()" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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hjBezFoLCM4KKYGMDNG9O98+ckccmhmEYXcNCgIoLAaBxD/E6AcMwxopZC0FlXUMAZxgz\nDGP8mLUQyDEjYCFgGMbYMdsSE1lZVFvIwoLuW1UwoyIjA3B0BCwt6b6NjaxmMgzDVBguMfEMYmIo\noaxevYqLAADY2wPe3kBeHnDtmlzWMQzD6A6zFQI51gckpBbMFy9W/lgMwzC6xmyFQI71AQkWAoZh\njBmzFQKeETAMwxBmKwQ8I2AYhiHMXgjknBFcukTdzhiGYYwJsxSCwuWn5ZgRuLgAtWsDmZnAky6c\nDMMwRoNZCsG9e3TSdnOjxvVywO4hhmGMFbMUAmmhWI7ZgAQLAcMwxopZCoGc6wMSLAQMwxgrZikE\nPCNgGIbRYJZCIOdCsURhITD86k0MwzAazFII5Ewmk3B3p4Xn5GTgwQP5jsswDKM0ZikESswIVCp2\nDzEMY5yYnRBkZAAJCVQu2sND3mOzEDAMY4yYnRDExtJt3brUi0BOWAgYhjFGzE4I4uPpVu7ZAKAR\nggsX5D82wzCMUigqBLGxsejWrRuaNWuG5s2bY+nSpSXuN3XqVPj4+MDf3x9RCvd8jIujW09P+Y/N\nMwKGYYyRSvTmejbW1tZYvHgxWrZsifT0dAQGBqJHjx5oKp0xAYSEhODatWu4evUqTpw4gcmTJyMi\nIkIxm5ScEdSvD9ja0hipqfKVr2AYhlESRWcEtWvXRsuWLQEADg4OaNq0Ke7cuVNknx07dmDs2LEA\ngKCgIDx69AgJCQmK2aSkEFhaAo0b0/1Ll+Q/PsMwjBIoOiMoTExMDKKiohAUFFTk8fj4eHh5eRX8\n7enpibi4ONSqVavIfnPnzi24HxwcjODg4ArZoaRrCCD30Llz5B5q21aZMRiGYUoiNDQUoaGh5X6d\nToQgPT0dQ4YMwZIlS+Dg4FDsefFUKq5KpSq2T2EhqAxKzggA4Lnn6PbyZWWOzzAMUxpPXyR/+umn\nWr2uwq6h3NxcrfcbPHgwRo0ahUGDBhV73sPDA7FSTCeAuLg4eCh1loZmRqDUEE2a0C0LAcMwxoJW\nQrBkyRJs3bq14O/x48ejSpUqaNy4MS6XccYTQmDChAnw9fXFu+++W+I+AwcOxM8//wwAiIiIgLOz\nczG3kFzk5gL371P+QO3aigzBQsAwjNGhEk/7ZUqgYcOG+Omnn9C1a1eEhYWhX79++N///offf/8d\nGRkZ2LVrV4mvO3r0KLp06QI/P78Cd8/8+fNx+0kbr0mTJgEApkyZgj179sDe3h5r1qxBq1atihqp\nUhVzH1WE27eBevWAOnU0LiK5SUujaCFbW8pitrRUZhyGmgvZ2sqfGMgwpoK2506thKBq1aq4cuUK\nvLy8MHPmTCQmJmLNmjW4ePEiOnXqhKSkJFmMLtVImYQgPBzo2BFo0waIjJTBsFLw9CShuX5d3npG\nDHDyJBASQltkJDB4MLB5M4sBw5SEtudOrf59qlWrVhDSuX//fnTv3h0AYGVlhaysrEqYqVukWYBS\nEUMSknuIQ0jl5dNPScTnzAFOnKBy31u3AgsW6NsyhjFutBKCnj174vXXX8eECRNw7do19OnTBwBw\n4cIF1K9fX1ED5UTpiCEJXieQn+vXgXnzqMrrpEnAjh3Ali303McfA/v26dc+hjFmtBKCZcuWoVOn\nTkhMTMTWrVvh6uoKADh16hRGjhypqIFyonTEkAQLgfzMmkWL/WPHAitXAgMGAEOG0OxACGDECCAm\nRt9WMoxxotUagb6Ra41gxAhg0yZg/Xpg1CgZDCuFvXuB3r2B4GDg0CHlxjEXjhwBunQB7OyAK1eK\nCrlaDfTvD+zeDbRuDURE8AI9w0hoe+4sV0LZnTt3cP/+fajV6iKPPx3lY6iwa8j4UKuBadPo/vvv\nF//uLCyADRsAPz9aSD54EOjZU/d2Mowxo5UQREVF4dVXX8WlElY/VSoV8vPzZTdMCXTlGqpbF6hS\nBbh7l4vPVZZffgFOnaKQ3xkzSt6nenXgjTfITfTzzywEDFNetHINtWnTBq6urvjkk0/g7u5erASE\nt7e3UvYBkMc1JARQtSqQnQ2kpwP29jIZVwp+flRzKDKSIl2Y8qNWU0XX27eBdeuAMWNK3/fGDepB\nXbUqdaBzdNSdnQxjqMjqGrpw4QJOnz6NJpLPwwhJSiIRcHZWXgQAqjl07hy5h1gIKsaxY5okwGet\n6TRoAHTuTOsJ27YB48bpxESGMQm0ihpq3rw57t27p7QtiqJ01dGn4XWCyiNVNRk6VLuEsSfVzLFu\nnXI2MYwpopUQLFiwALNmzcL+/fuRkJCA5OTkIpsxoKuFYglOKqscajVd2QMkBNowZAitzYSGArdu\nKWYaw5gcWrmGXnjhBQBAr169ij1nLIvF+hICnhFUjIgI+s7q1tXetebkBAwaRCHCGzYAH36orI0M\nYypoJQR///230nYojr5cQ1ev0tUt18IpH5JbaMgQyibWljFjSAh+/hmYPbt8r2UYc0UrIahoNzBD\nQtczgmrVAHd3CiG9fRtQOLDKpJBqCAEkBOWhRw8qMX7lCtUjatdOfvsYxtTQ+jr13r17+PjjjzF4\n8GAMHToUc+bMUbS3sNzoWggAdg9VlMhIIDaWvqunOps+EysrYPhwur99u/y2MYwpopUQHDt2DD4+\nPvj1119hZ2cHW1tbbNiwAT4+PggPD1faRlnQtWsI4AXjilJ4NlARl5q0lMXlPRhGO7RyDc2YMQMj\nRozAypUrYfHkPzM/Px+TJ0/GjBkzjEIM9DEj4P7F5acybiGJTp1oZnDyJJCSQovIDMOUjlbXW9HR\n0Zg+fXqBCACApaUlpk2bhtOnTytmnFxkZACPHlE3qyeFU3WCNCO4eFF3Yxo7UVFURdTdHejQoWLH\ncHAgl5JaTQlmDMOUjVZC4OTkhBs3bhR7PCYmBs7OzrIbJTeFZwO6jCLx9aVbFgLtkfoKDBhQuUir\nbt3o1gQC3hhGcbT6Vxs+fDgmTJiADRs24ObNm7h58ybWr1+PCRMmYMSIEUrbWGn04RYCKAbewYFq\n3yjczdNkkE7czz9fueNIr2chYJhno9UawVdffQUhBCZMmIDc3FwAgI2NDSZPnoyvvvpKUQPlQFdV\nR59GpQKaNgX++YdmBZ066XZ8YyMnh+oLAdTLoTK0b0+uwDNngMREwM2t0uYxjMmi1YzA1tYWS5Ys\nQXJyMqKjoxEdHY2kpCQsXrwYNjY2SttYae7coVtdCwGgcQ9duKD7sY2NyEjg8WOgWTOgVq3KHatK\nFaBjR7p/+HDlbWMYU6ZcXlh7e3v4+fnBz88P9roo4SkTd+/Srbu77sdmIdAeKdxT8u9XFl4nYBjt\nKNU1NGDAAPzyyy+oVq0aBgwYUGpda5VKhR07dihqZGVhITAO5BaC55+nxvYsBAxTNqUKgaura0ED\nGul+aUJg6LAQGD5ZWUB4OK2rdO0qzzHbtKHeE5cu0W9AH98/wxgDZtG8vnFjKv528aImyUtX5OdT\nt6zMTMpl4OSmkgkNpZmAvz8QHS3fcfv2pcb2v/wCjBwp33EZxhjQ9typ1RrB+PHjkZaWVuzxjIwM\njB8/vvzW6RhpRlC7tu7HtrTUiA/nE5SO5L6Ryy0kwWGkDPNstBKCtWvXIjMzs9jjjx8/xjoDbweV\nnk5blSr6uxqX3EP//quf8Y0BudcHJKQw1LAweY/LMKZEmXkEycnJBdOK5ORkWFlpds/Pz8euXbtQ\nq7JxfgpTeH1AX8sZvE5QNo8fU8loCwugSxd5j+3vTxcBV68CDx8CLi7yHp9hTIEyZwRubm6oUaMG\nAMDX1xdubm4FW61atTBx4kS8+eabpb5+/PjxqFWrFlq0aFHi86GhoXByckJAQAACAgLwxRdfVOKt\nlIzUalmfC4UsBGVz7BiQmwu0agXIXbHE2pqOC1CeAsMwxSlzRiB1Jnv++eexbds2uBS6nLKxsUG9\nevXgUUaW1muvvYa3334bY8aMKXWfrl27Khp+qs+IIQkWgrJRyi0k0bYtRSRFRmpKVDMMo6FMIZA6\nk924cQN169YtUn1UGzp37oyYmJgy91E6aEmfC8USDRoANjbUqSwtjaKIGA1ShVC5wkafRmpuc+KE\nMsdnGGNHq1pD3k/6LN65cwe3b99GTk5Okee7VNCxq1KpEB4eDn9/f3h4eGDhwoXwlS6fn2Lu3LkF\n94ODg7Vun2kIMwIrKypJfe4cxbRr24zdHMjOplpMQMXLTj+LwkIghGn0Md64EVi+nMKTra2BqlWB\nsWOBV1/Vt2WMPgkNDUVoaGj5Xyi0ID4+XnTp0kWoVKpim4WFRZmvvXnzpmjevHmJz6WmpoqMjAwh\nhBAhISHCx8enxP20NLNExowRAhBi9eoKH0IWXnmF7Fi7Vr92GBrHj9Pn4uur3BhqtRBubjTOjRvK\njaML1GohPv+c3ktJ29tvC5GTo28rGUNB23OnVr6ed999F5aWlrhw4QLs7e1x5MgRbN26FU2bNsXu\n3bvLrz5PcHR0hJ2dHQCgT58+yM3NRXJycoWPVxKGsFgM8DpBaUjVRqUCcUqgUpmGeyg/H3jrLSqb\noVIBCxfS2sfhw8CSJeR+/P57oEcP4MEDfVvLGBNauYYOHz6MXbt24bnnnoNKpUKNGjXQsWNH2Nra\n4pNPPkHPnj0rNHhCQgJq1qwJlUqFyMhICCFQvXr1Ch2rNAzBNQSwEJSG1OVUKbeQRNu2wF9/kRBI\nze2NCSHI7bN5M5XX3rgRePllzfNdupDLcfBgEoagIGrVKfO/E2OiaCUEmZmZBWGk1atXx/3799G4\ncWM0bdoUZ86cKfV1I0aMwOHDh5GYmAgvLy98+umnBf0MJk2ahK1bt2LFihWwsrKCnZ0dNm3aJMNb\nKoohLBYDLAQlIYRuZgSAZkZgrCGkO3eSCFSrBuzaBXTuXHyf9u3p5N+vH5XpmDQJ+O0301gTYRRG\nG/9R69atxe7du4UQQgwcOFCMHDlSxMTEiOnTp4uGDRtW2H+lLVqaWYzsbPKbWlgIkZcns1EVsMXK\nSgiVSoj0dP3aYihcv07fj5sb+b6VJCmJxqpSxfh86Dk5QjRpQvYvWfLs/a9dE8LBwTDWxhj9ou25\nU6s1gnfeeQd3n1xaz5kzB/v27UP9+vWxfPlyzJ8/X0GZqhwJCXRbqxbV/NEnNjbUcEUI4OxZ/dpi\nKEizgQ4dlL9qrV4d8PGhKqfG9vmvWgVcvgw0agT85z/P3r9hQ4ooAoCpUymrmmHKQishGDVqFF57\n7TUAQKtWrRATE4N//vkHt2/fxrBhwxQ1sDIYykKxhJThevq0fu0wFKT1AaXdQhLG6B5KTQWkyOkv\nv6QLCm0YPZrWQjIyqOrqE48sw5SIVkLw2WefISMjo+Bve3t7BAYGwsHBAZ999plixlUWQ1kolmAh\nKErhGYEuaNuWbo0pcuirrygCqEOHoovDz0KlAlasAOrVo3WDRYuUs5ExfrQSgrlz5xYRAomMjIwi\niV6GhqEsFEuwEGhISQHOn6dkqNatdTOmsYWQxscD335L9xcuLL/7zNmZ3EoAMH++xlXKME9TvpoR\nTxEdHQ1XV1e5bJEdQ5sR+PvTP/P585RRa85ERNB6SWAgVQfVBf7+5Fq5dImaBBk6P/5Iaxovv0wR\nQRWhRw+gf38qbfLxx/Lax5gOZQqBo6MjHJ8UxmnQoEHB31IiWM+ePTF06FCdGFoRDE0I7O2pSU1e\nHomBOaPr9QGA4u/9/em+oc/K1GpAavUxZUrljrVwIZU5Wb0aKCPamzFjyswj+P777wFQOen58+ej\nWrVqBc/Z2NjA29sbHXTl4K0AhrZYDJB76OJFOhEFBurbGv2h6/UBidatqbbRqVOa7mWGyN9/U5FC\nb+/KF+Nr0gR4801g6VLgvfeAAwc4t4ApSplCMG7cOABUdK5jx46wtrbWhU2yYWgzAoCE4JdfDP+K\nVEny8jR+el0LgSS+p07pdtzy8tNPdDtuHDXsqSxz5gDr15PA7NwJDBxY+WMypkOpQpCcnFxQ7sHP\nz6/EnsUScpeFkAtDWywGeMEYoCqs6elUnlvX340kBCdP6nbc8vDoEfDHH3TV/uRarNJUr05hqO+8\nA7z/PtC3L7mLGPm4cQO4fh1ITqatWjXgxRcBBwd9W6YFpWWaqVQqkZCQUHC/tO1Z1UfloAwzSyU/\nnzJ5ASEv5OiqAAAgAElEQVQyMxUwqoI8fEg22doaX4arXHz/PX0Go0frfuycHPrsASGSk3U/vjas\nWEH2de8u73FzcoRo2JCOvWqVvMc2Z86dE+Lll0uuBuvoKMR//iPE6dP6sU3bc2ep1wR///13QUcy\nqVOZMZGURC4IFxfdRaVog7MzZX5ev07RK6V08TRpdFVfqCSsrWnBODKSZmXdu+vehmexZg3djh8v\n73GtrYHPP6cEs7lzqYhd1aryjmFO3LkDzJgBbNpEp/0qVSi6y9WVZmD//ku/9ZUraXvrLeC77wx0\nJqawIMlCRcw8e1b5OvcVZehQ8+5N4OVF7//sWf2MP3kyjf/VV/oZvyzOnyfbnJyEePxY/uPn5wvR\nsiWN8fXX8h/fXDh/XvM7trYWYsoUIeLjS95v6lQhbGxo3xde0O1MVNtzp1bLUL/99hv+/PPPYo//\n+eef2Lp1q8zSJA+GuFAsYc7rBLGxtDk5Ue0lfSAlsBnigvHatXQ7fLgyV+sWFsCCBXR/wQLjyKcw\nNI4cATp1ot9xhw5Uy+n774E6dYrv26wZ9YoIDQVq1qSIrXbtgCtXdG52mWidWSw1kCmMnZ2dwWYW\nG+JCsYQ5C4GUP9C+vTzRMBXBUBeMhQCk66oxY5Qbp1cvIDgYePgQ+Ppr5cYxRX7/nZL0Hj0CXnqJ\nTuz16j37de3bkzvSz49EIDiYMscNBa3+FW/evInGjRsXe7xRo0a4fv267EbJgSHPCAIC6DYqihKH\nzAl9rg9I+PqSP/fGDToZGgrnzgExMVQtt1075cZRqTSzgu++M6wTkiFz8CDwyitUFeDNN4EtW8o3\na6tXj37/XbrQ+WngQCoKaAhoJQQuLi64fPlyscevXr1akHlsaBiyENSoAXh50Y/A3EoEG4IQSAvG\ngGHNynbsoNsBA5SfLbVrR6UrMjOBDz9UdixT4N9/qftbXh4l5S1bVrHS9g4ONKto2JB+e6NHG8bF\noFY/txdffBHvvfdeETG4dOkSpk2bhkGDBilmXGUwxKziwkjuIUNzTyhJejqVOLC01FQC1ReG6B6S\nluF0lez11VckiuvWGeZ6iaFw9y7lXaSkkBh8803lMrNdXanLnJMT5YsYghBrJQRffvklnJyc4Ovr\nC09PT3h6eqJZs2ZwcnLCN998o7SNFcKQ1wgATRGxw4f1a4cuiYykBuwtW1LdJX1iaAvG8fEkSlWr\nAi+8oJsxGzWixjUAMH06rVEwRcnIoKJ9t2/T/+z69fLM1p57jtaDLC2pz4Q0G9QXWr0lJycnHD16\nFHv27MHUqVMxdepU7N27F8eOHYOTk5PSNlYISQhKWsk3BKT49YMH9WuHLjEEt5CEoZWa2LmTbnv2\n1G1s/0cf0RXq4cPA9u26G9cYEAJ44w1y4TRsSDM2Ob+bF17QLNZPmKDxYugFbWJMb968Wepzx44d\n0ypOtTJoaWYBarUQdnYUt5uSopBRlSQvTwhnZ7KxjI/XpOjVi97v5s36tkSI3FzqXwxQP2N907s3\n2fLTT7ofe9kyGrthQ+qtzRBSBry9PeUDKEF+PmWQA0L07St/725tz51azQj8/f2xfv36Io/l5+fj\nk08+QXBwsPzqVEnS0oDHj8n9YKBr2bC0pBAygAqBmTr5+cDx43TfEArWWlmRiwrQ/4JxWhr9BlQq\noF8/3Y8/aRLQtCllu3MnMyI8HJg2je6vXq1czouFBeWOuLgAISGUgawPtBKCr7/+GpMnT8aIESOQ\nmpqKa9euoWPHjli9ejVCQkKUtrHc3LlDt+7uhl1uVyqDbA5C8O+/1H+3bl3A01Pf1hCGsmC8dy+Q\nk0MCWbOm7se3sqIS1QCVnrhwQfc2GBL37gFDh1KE0LRpFDKqJJ6e1IQIoLWaS5eUHa8ktBKCSZMm\n4eTJk7h8+TKaN2+OVq1aoU6dOjh37hxe0NXKVjkw5NDRwhReJzD1hbojR+jWENYHJNq0odt//tGv\nHbqOFiqJF14AXn+dBGncODoJmiO5ucCwYXQx2bkzRVbpgqFDKYkwMxN47TWaQesSrde/a9eujfr1\n6+PevXvIzMxEnz59DL78tKEuFEs0bUpRTffu6ecqQJccOkS33brp147CSCGskZH6syEvD/jrL7r/\n4ov6swOgTmZeXiSM5uoimjmTLlrc3YHffqPwWl2xdCng4UFtXL/7TnfjAloKweHDh+Hn54fY2Fhc\nuHABP/30E2bOnIlBgwYhKSlJaRvLTWHXkCGjUmncQ6YcPaRWa4TAkLqCNWlCa0hxcZqLB10TGUnZ\nzY0akT36pFo14H//o/uffGJ+LqING6gukLU1sG2b7kPPnZyA//6X7n/0kW7rEWklBD169MDo0aMR\nHh6ORo0aYfTo0YiKikJiYiJaGGAdZWNxDQHmsU5w9iw16qhbl5rRGAoWFpp8An25h/bsods+ffQz\n/tP07AlMnEguohEjKInKHIiOplBRgMRAyvPRNX37kosoK4vKkOvKRaSVEOzfvx/z5s2DVaFC2vXr\n18fhw4fx5ptvKmZcRZFmBIbuGgI06wSHDuneL6grJJHr1s3wFu/17R6ShKB3b/2MXxILFwKNG5OA\nv/wyiYIpc+8eMGiQxj//n//o157vvqOL2GPHqKqpLihTCDp06IBHjx6h65Pu2R988EERV1BycjL+\nK81lDAhjmhF4ewP161M1w+hofVujDIboFpKQhEAfM4LERIpYsrGpfIN6OXFyIoGqVYtE/LXXDKMe\njhKkpdFV+K1b9FtYvlz/FysuLpow0g8+0M36YZlCEBERgZxClwPLli1DSqG5Yn5+PuLi4kp9/fjx\n41GrVq0y3UdTp06Fj48P/P39ERUVVR7bS8VYFoslTDnLOC9PU0bDkBaKJQpHDuk6cmv/fhqzSxf9\nl9x4mvr1gd27qUjaxo20iGpqkW05OcCQIVQFuFEjyu42lI5tAwdqXESjR1M0k5IoWuPwtddewx5p\n7lsCISEhuHbtGq5evYr//ve/mDx5sizjGstisYR0pbx7t37tUIJTp+iqy8eHIlIMDU9PWhR8+JAS\nqnSJIbqFChMQQJUyrayAb7+lk9ODB/q2Sh7UagqX3bePqgHv2aOfHI6yWLqU1tVOngTmzVN2LEWF\noHPnzgV9j0tix44dGDt2LAAgKCgIjx49QkJCQqXGTEujKpdVqtAU1xjo04euREJDgWvX9G2NvBhi\n2GhhVCr9rBOo1ZRIBhiuEADUhGXbNuq1vWsXNVbZv7/ix8vPp85ep07R5x0RQVt8vO5mHNnZwKhR\nwM8/00wsJIRqCRkaTk6ajnVffKHs77NSbZRVlXSmxcfHw6vQZaKnpyfi4uJQq1atYvsW7oQWHBxc\nammLwm4hffv6tMXZmbIX164FVq3SXRKLLpAWig1xfUCiTRuq/hgZSY3ddcGZM0BCAs1IfH11M2ZF\nGTiQFo5HjQLCwiiyqEsX+s0OGVLylfTjx9T459w5eu3Zs9R749at0hefq1YlF02rViSOPXpQQTw5\nkTqLhYaS22v7dk3kmCHSrRtlNy9eTC6i06fLdiOGhoYiNDS0/AOVVYhIpVKJnj17igEDBoj+/fsL\nKysr0b17d9G/f38xYMAA0aNHD6FSqcosZnTz5k3RvHnzEp/r37+/OHr0aMHf3bt3F6dOnSq23zPM\nLEJoKBVw6thR65cYBMePk901aphO4a+sLCGqVqX3de+evq0pnb17ycYOHXQ35oIFNObEibobs7Lk\n5Qkxb56mWB8ghIWFEN7eQrRoIUT79kK0aSNEzZqa50vaatcWIiCA9g0KEiIwUAg3t+L7qVRCtGsn\nxHffCXH3buXtv3ZNCF9fOra7uxBRUZU/pi7IzNTYPXRo+QrTaXvuLHNGMGbMGKhUKognc7ZXX321\n2D6Sa6cieHh4IDY2tuDvuLg4eHh4VPh4gPEtFEsEBQEtWtAV1PbtlOZu7ERGUkhe8+YUgWKoSFeE\np0/Topwuskml9YFevZQfSy4sLYHZs4EpU6gsxubN5N6KiSm+r7U1tWZs3pzcSX5+lDBXv37pV7QP\nH1ISVVgYHffIEY3r6L33qAzGyJEU6lket29aGrXm/PZbcgs1a0buoLp1K/Qx6JwqVah3QVAQtccM\nCKBoIlmpmEZpT1kzgr/++kv06dNHCCHE8ePHRVBQUIn7lcfMRYtIOadOLb+t+kYqe9u9u74tkYe5\nc+n9vP22vi15No0aka2nTys/VkqKEFZWQlhaCvHwofLjKUlqqhDXrwsRHS3E0aO0xcVReeXKkp4u\nxG+/CTFwoBDW1pqZgo2NEC++KMSaNUJcuVLyFbJaLcTly0IsWUJX/9JrR40y3s98xw6aJalUQuza\npd1rtD13KioEw4cPF+7u7sLa2lp4enqK1atXi5UrV4qVK1cW7PPWW2+Jhg0bCj8/vxLdQkKUTwhm\nzKAvfMGCSpuvcx4+1LhSrl7VtzWVp107ei9//KFvS57NyJFk648/Kj/WH38Yp/tSnyQmCrFypRDd\nutGJsLALqUYNIXr2FOKll4QYNkyIIUOE8PQsuk/btuR+NXY+/5zeT7VqQly48Oz9DUII5KI8QiD9\nQ69bp6BBCjJuHNn//vv6tqRyxMbS+6hala7sDJ3vviN7J0xQfqw33qCxPv9c+bFMkfh4IZYupRN/\nWesRbm4kDJs2yTNDMQTUaiEGD9YI4MmTZe+v7blT9WRng6bwOsWzeP55Clnct4+iDoyNiAiqc1Kj\nBkVZGEsI7NN8/z31w33pJYpFN3SOH6d+AM2aAefPKzeOEOQ7j42l+HCpJwJTMYSg6KSLFykaKTeX\nQlSbN6dNjv7ChkZGBjB4MK2jODgAf/xRep9rbc+dJicETZtSSva5c/RDMDaEICE4cYLC9v74wzh/\nzN26UYjehg1ACTEGBkd2NoludjaVfpA7bFHi33/pd1mzJgU2GON3y+ifnBwq/bFxIy3M//gjMHZs\n8d+TtudOk/sZGlPBuZJQqejLdXGh2PYFC8r3+txcEpFvv6Wr8j17KGNWl41GHjygyA9ra6B/f92N\nWxlsbYF27ej+0aPKjSNlj/fuzSLAVBwbG2D9euDdd+l/fvx4ar26bVvF6kJVKqHM0MjIoHaItrZ0\nIjVWGjQAfvmF+td+/DGFN5YVZpiZSU00fv2VTmIZGcX3cXMDvvySriKUPgFt304/xl69jMu11aUL\n1UUKC1OuSYzU2bVvX2WOz5gPFhZ0wdeiBTBnDnlBhgyhLGlvb6BcfcMqsW6hM7Q18+pVWkTx9lbY\nIB3x6af0flxcKFQuOVnzXHY2RUG8844Qzs5FF8kaN6ZEpTfeoCiLOnU0z3XoIMTZs8ra3bs3jfW/\n/yk7jtwcOEB2BwYqc/zUVAqDtLAQIilJmTEY8yQrS4jly4Xw8Hh60dwMF4uPHKGruvbtgfBwHRim\nMGo1Jc/s3El/W1nRYnhmJlXLzMrS7NumDTXW6NeveLE9IYBNmyhVPSGBEoOWLwcmTZLf5kePyP+d\nn0913mvUkH8MpcjIoHIfajUlN1WrJu/xt2+nxfMOHajWPMPITXY2zQySk+k3PHy4Ga4RGFMfAm2w\nsKBMwpUrKSpACIqGOnKEROC554A339QU8Jo4seT3rlJRt6lLl2j//HxqvqFEK4mdO8ln2bWrcYkA\nQBmvrVuTEChxopbcQobSjYwxPWxt6TfcsyfVgtIWk1ojMPaF4pKwtaUr90mTaBF23z7yu7dvX/7I\nFmdnmgn4+NDsYNIkEpuJE+WzVwoVHTxYvmPqkq5dKYQ3LEzeE7YQmoViFgLG0OAZgRFRowaFYvbv\nX7nwxnffpUUmgNxJUqnbypKUpKmhM2iQPMfUNV260K3UTEcu/v0XiIsjt1lAgLzHZpjKYlJCYIoz\nAqWYNo160wpBMwI5uqMtXUouq969gUrWDtQbHTvSLOmff6iUslxw2ChjyJjUT9LUZwRyM3068H//\nR2sGQ4dSJnNFSU0lIQCADz+Uxz594ORE8dh5eeQikotdu+iW3UKMIcJCYObMm0cx8w8fAgMGUNRP\nRVi5kl7buTPQqZO8Nuoaud1D9+7RAr+NDQsBY5iYlBCwa6j8WFhQhmKLFsDlyxRpUN4s5MxMzZqD\nMc8GJLp2pduwMHmO9/vv5ILr2dO4EuwY88FkhCAzk65Ira2VqxNjqjg6UthnjRoUlTRpUvn6x65e\nTfkJgYF0sjN2pBlNRATFZVeWrVvpdujQyh+LYZTAZIRAcgvVrm08vYoNiXr1qLZR1arATz8BH32k\n3etycoCvv6b7s2ebxmfv5kYzpKysys8K7t8nF5O1NRURZBhDxGSEQOp4aSzt5wyRdu0ogc3SEpg/\nX7P4WxpCUMu82Fiq+mqsIaMlIdUa2ratcsf54w9KUOvRg/I4GMYQMRkhuH2bblkIKke/fuTqATT5\nBqVVM/z4Y3reygpYssS0wiKHDKHb33+nqKqKsmUL3bJbiDFkTOZfl4VAPsaOBb76iq74p0+n3gI3\nbhTd5/PPKeLI0pKamBtjE6Cy8PMDGjWibO4jRyp2jAcPqCeDlRW7hRjDxuSEwMtLv3aYCu+/T0XS\natYkP7mfHzByJIWYtmsHfPIJzQA2bABeflnf1sqPSqWZFUiLveVl+3aaTbzwQjlLAjOMjjE5IeAZ\ngXy8+CKVRhg+nCpz/vorJUadOEEisGYNPWeqSEJQ0WYfkoBIx2EYQ8VkylA3awZcuABERwP+/joy\nrDzExtIl4uPH5GsJDCS/ipEQGkpi6+xMW4MGgKenvq1SFiHofcbEkHuoPIlyd+9qZqcJCRzSzOgH\nbUv4m0T1USEMdEaQm0sptxs3Fq9X4OxMPoMvv6SWQgZOcLC+LdA9knto4UK6ui+PECxdSm6hl19m\nEWAMH5OYETx8SD5YBweqeWMQsezp6XQW2buX/q5alfoTurlRhbdr1+hxFxfTXG01ESIjgaAgmv3c\nuqVdZFRaGs0GUlKA48c1vZAZRteYVfP6wrMBgxCBe/eoTsHevXTi//VXCiHZupVmCFevUhjOgAGk\nYr17A4sWlS+dl9EJbdrQST0ujkRBG1atIhHo3JlFgDEOTEIIDCqZ7OpV6hpz+jS5fI4fpxVVe/ui\n+9WvT2sGH31EK5EzZlDgPmNQFI4e+uGHZ++fmwssXkz3Z85Uzi6GkROTEAKDWR/IyKCA8ZgY6hcX\nHk7B6KVhYUEB+Vu3UiuypUspFIcxKKZMocqh69c/e1awaRPNHp57jpLzGMYYYCGQk6lTqTGwry9w\n6BAF4WvD4MGay83Jk6kJMWMwNGgAvPce3X/nndI9eEIA33xD92fONK1Ma8a0MYmfqkEIwcaNVK2t\nShVa/HVwKN/rx4+nvpHZ2SQMSUnK2MlUiNmzqaBhRAR91SWxaRNw7hz1w3j1Vd3axzCVwaSEQG9Z\nxdeuAf/5D91fsgRo3rxix1m6FGjblsJTRo6sWBYTowiOjsCCBXR/1izyAhYmJIRKcwDU9c3WVrf2\nMUxlUFwI9uzZg+eeew4+Pj746quvij0fGhoKJycnBAQEICAgAF988UW5x9DrjCA/n07aaWlUWez1\n1yt+LFtbWi+QGgP89JN8djKVZswYWvqJjwfefpuWggDgwAHKF8jNpfX+t9/Wq5kMU36EguTl5YmG\nDRuKmzdvipycHOHv7y8uXLhQZJ9Dhw6JAQMGlHmcsszMzRXCwkIIlUqIrCxZzC4fK1YIAQjh5SXE\nw4fyHHPTJjqms7MQ9+7Jc0xGFsLD6auRtsBAIapWpfuTJwuhVuvbQobRoO0pXtEZQWRkJBo1agRv\nb29YW1tj+PDh+PPPP0sSowqPcecOeVBq19bDdDw5WdObcfFi+QrODxsG9OpFLdemT5fnmIwstG9P\nM4BXXqGI4FOnqDvehAnAsmUGksfCMOVE0RIT8fHx8CrkuPf09MSJEyeK7KNSqRAeHg5/f394eHhg\n4cKF8PX1LXasuXPnFtwPDg5G8JOaB3p1C33yCYnB88/LW4JTpaIoombNgF9+AcaNo3IUjEHQvTtt\nmZmUM5icTOsDHCXE6JvQ0FCEhoaW+3WKCoFKi8ujVq1aITY2FnZ2dti9ezcGDRqEK1euFNuvsBAU\nRm9CcPYssGIFFY5bskT+S8EGDUhoZs+mkNKzZ6lMBWMwVK1qWl3ZGOOn8EUyAHz66adavU7RaxgP\nDw/ESmm/AGJjY+H5VMlKR0dH2NnZAQD69OmD3NxcJCcnaz2GXrKKhaCcAbUaeOutikcJPYvp02lW\ncO2aJkCdYRhGZhQVgtatW+Pq1auIiYlBTk4ONm/ejIFPtWpKSEgoWCOIjIyEEALVy9HFQy8zgt9/\np47kbm5AKTMVWbCxAZYvp/tffUXhKgzDMDKjqGvIysoKy5YtQ69evZCfn48JEyagadOm+PHHHwEA\nkyZNwtatW7FixQpYWVnBzs4OmzZtKtcYOheCvDzNAvFnn1H1UCXp2pUSzLZtIzfRunXKjscwjNlh\n9GWo/f3JfX7qFNCqlQ6MWb0amDiRCsp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6deqEhQsXolOnTvo2S298++23OHXqFNLS0rBj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\n" } ], "prompt_number": 6 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## ex32" ] }, { "cell_type": "code", "collapsed": false, "input": [ "N = 4 # number of basis states to consider\n", "kappa = 1.0/0.129 # coupling to heat bath\n", "nth = 0.063 # temperature with =0.063\n", "\n", "# create operators and initial |1> state\n", "a = destroy(N) # cavity destruction operator\n", "H = a.dag()*a # harmonic oscillator Hamiltonian\n", "psi0 = basis(N,1) # initial Fock state with one photon\n", "\n", "# collapse operators\n", "c_op_list = []\n", "c_op_list.append(sqrt(kappa * (1 + nth)) * a)\n", "c_op_list.append(sqrt(kappa * nth) * a.dag())\n", "\n", "# run monte carlo simulation\n", "tlist = linspace(0,0.6,100)\n", "ex1 = mcsolve_f90(H,psi0,tlist,c_op_list,[a.dag()*a], ntraj=1).expect[0]\n", "ex5 = mcsolve_f90(H,psi0,tlist,c_op_list,[a.dag()*a], ntraj=5).expect[0]\n", "ex15 = mcsolve_f90(H,psi0,tlist,c_op_list,[a.dag()*a], ntraj=15).expect[0]\n", "ex904 = mcsolve_f90(H,psi0,tlist,c_op_list,[a.dag()*a], ntraj=904).expect[0]\n", "\n", "## run master equation to get ensemble average expectation values ## \n", "me = mesolve(H,psi0,tlist,c_op_list, [a.dag()*a])\n", "\n", "# calulate final state using steadystate solver\n", "final_state = steadystate(H,c_op_list) \n", "fexpt = expect(a.dag()*a,final_state) \n", "\n", "#\n", "# plot results using vertically stacked plots\n", "#\n", "\n", "# set legend fontsize\n", "import matplotlib.font_manager\n", "leg_prop = matplotlib.font_manager.FontProperties(size=10)\n", "\n", "figure(figsize=(6,9))\n", "subplots_adjust(hspace=0.001)\n", "\n", "# subplot 1 (top)\n", "ax1 = subplot(411)\n", "ax1.plot(tlist,ex1,'b',lw=2)\n", "ax1.axhline(y=fexpt,color='k',lw=1.5)\n", "yticks(linspace(0,2,5))\n", "ylim([-0.1,1.5])\n", "ylabel('$\\left< N \\\\right>$',fontsize=14)\n", "title(\"Ensemble Averaging of Monte Carlo Trajectories\")\n", "legend(('Single trajectory','steady state'),prop=leg_prop)\n", "\n", "# subplot 2\n", "ax2=subplot(412,sharex=ax1)\n", "ax2.plot(tlist,ex5,'b',lw=2)\n", "ax2.axhline(y=fexpt,color='k',lw=1.5)\n", "yticks(linspace(0,2,5))\n", "ylim([-0.1,1.5])\n", "ylabel('$\\left< N \\\\right>$',fontsize=14)\n", "legend(('5 trajectories','steadystate'),prop=leg_prop)\n", "\n", "# subplot 3\n", "ax3=subplot(413,sharex=ax1)\n", "ax3.plot(tlist,ex15,'b',lw=2)\n", "ax3.plot(tlist,me.expect[0],'r--',lw=1.5)\n", "ax3.axhline(y=fexpt,color='k',lw=1.5)\n", "yticks(linspace(0,2,5))\n", "ylim([-0.1,1.5])\n", "ylabel('$\\left< N \\\\right>$',fontsize=14)\n", "legend(('15 trajectories','master equation','steady state'),prop=leg_prop)\n", "\n", "# subplot 4 (bottom)\n", "ax4=subplot(414,sharex=ax1)\n", "ax4.plot(tlist,ex904,'b',lw=2)\n", "ax4.plot(tlist,me.expect[0],'r--',lw=1.5)\n", "ax4.axhline(y=fexpt,color='k',lw=1.5)\n", "yticks(linspace(0,2,5))\n", "ylim([-0.1,1.5])\n", "ylabel('$\\left< N \\\\right>$',fontsize=14)\n", "legend(('904 trajectories','master equation','steady state'),prop=leg_prop)\n", "\n", "# remove x-axis tick marks from top 3 subplots\n", "xticklabels = ax1.get_xticklabels()+ax2.get_xticklabels()+ax3.get_xticklabels()\n", "setp(xticklabels, visible=False)\n", "\n", "ax1.xaxis.set_major_locator(MaxNLocator(4))\n", "xlabel('Time (sec)',fontsize=14)\n", "show()" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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Wo6SkBLGxsXJ/xRsbG+OLL77A3LlzceLECRQXF6O8vBxRUVFYsmQJAEnt2NDQEPr6+vj7\n77+xdevWOm+zrq4uAgICsGzZMhQWFiI9PR3r1q177ba97vtWVFQEHo+HNm3aoLKyEuHh4bh9+7bc\nssOHD0dycjL27NmD8vJylJeX4/fff8fff/8NHR0dTJ06FZ988gkePXoEsViMq1evoqysDG3btoWO\njo7Uvm3I/0OHDh3g5+eHTz75BAUFBaisrMT9+/e5638OHz6MrKwsAJIGdB6P12hdqBubZkalAap6\nlVQ9qn59ybtGoWq6srIS69atg4WFBczMzHDx4kXuS+bv748lS5YgMDAQxsbGcHJykur3/bpfVK+u\nt6o627FjR0ycOBFhYWHo1q2bTFk3Nzf88MMPmDdvHkxNTWFrayvVI6e6iIgIzJkzB+3ateMe5ubm\nmDVrFveekSNHIjU1FR06dICTkxP33vpu35AhQzBkyBB069YN1tbWaNWqFTp16sTN/+9//wtLS0t0\n6dIFfn5+eO+999C8eXO5cdf2mTRv3hw///wzfvrpJ/D5fOzduxcjRoyocVlTp07FxIkT0b9/f3Tt\n2hX6+vrYtGlTjdshL5YqDg4O3K/qV+ft378fIpEIHTt2xJgxY/DFF19g4MCBr90eAFi6dClWrVoF\nPp+P77//HpaWljhx4gRWr16Ndu3aoVOnTli7dm2Np5c++eQTfP/991i1ahVXPjQ0FO+88w4AySnB\nffv2wcjICDNmzEBgYKDM/2Jt271p0yYYGBiga9eu8PLywvjx4zFlypTX7rfa9q2DgwMWLlyI3r17\no3379rh9+zZ32vNVhoaGiImJwYEDB2BhYYEOHTpg6dKlKCsr47bPyckJPXv2hJmZGZYuXQrGGPT1\n9bFs2TL07dsXfD4f8fHxCv0/VH8tIiICZWVlXG/A9957jzsl+Mcff8DT0xOGhoYYPXo0Nm7cCGtr\n61r3k7rwmCI/nQlRsa1bt+LQoUM4f/58g5fVq1cvzJkzB8HBwY0QGdEEO3bswN69e3H27Fl1h9Ik\nqaxGMXXqVJibm0v9Cq0uNjYWxsbGEAqFEAqFWLVqlapCIxro8ePHuHz5MiorK3Hv3j18//333C/e\n+rpw4QIeP36MiooK7Nq1C7dv38aQIUMaOWKiTnfu3NHIc/tNhcoas6dMmYL58+dj0qRJNZbx9vZW\n6OpQ0vSUlZVh1qxZSEtLg4mJCYKCgjBnzhyFlnXv3j0EBASgqKgIb731Fo4cOVLvxmmiufz9/XH/\n/v3XtvkRxan01JNIJMLIkSPlXhkcGxuLtWvX4tSpU6oKhxBCSB1oTPdYHo+HK1euQCAQwMLCgutj\nL68cIYSQ+lO0XqAxicLV1RWZmZnQ19dHVFQU/P39kZycLLcstb9rp5CQEISEhKg7DKIg+vy0W0N+\nZGtM99iqftsAMHToUJSXlyM3N1fNURFCCNGYRJGdnc3VFKouDjM1NVVzVIQQQlR26ikoKAhxcXHI\nycmBlZUVVq5cyQ1dPHPmTBw5cgRbt26Fnp4e9PX1ceDAAVWFRlTEx8dH3SGQBqDP782ldRfcNfSm\nLYQQCVNTU6n7i5Cmg8/ny5y6b8ixkxIFIW8o+i41XfI+24Z83hrTRkEIIUQzUaIghBBSK0oUhBBC\nakWJghCiVl999RUcHR0hEAggFAq5+4VMnz4dd+/eVWiZIpGoxgFI5cnPz6/XfTeqGz58uNS9VOoq\nLi4OV69eVWidqqYxV2YTQt48V69eRWRkJBITE9GsWTPk5uaitLQUAPDDDz+oLI68vDyEhoZi9uzZ\nMvMqKiqgp1fzoTIyMlKhdZ4/fx6Ghobo3bt3nd8jFou5m6GpEtUoCCFq8/jxY+72qYCky26HDh0A\nSK7buHHjBgCgdevWWL58OVxcXNC7d288efIEAHD//n14enrC2dkZy5cvh6Ghocw6xGIxFi1aBA8P\nDwgEArm3jP3ss89w//59CIVCLF68GHFxcfDy8sLo0aPh6OgIQDJKrbu7OxwdHaWSmLW1NdcVdc+e\nPejVqxeEQiFmzZrF3TwqOjoabm5ucHFxga+vL9LT0xEWFoZ169ZBKBTi8uXLEIlEGDhwIAQCAd5+\n+23u9r+TJ0/GrFmz4OnpicWLF6Nbt27cveUrKytha2sr997hjYppGS0MmRCNVNt3CWjYo64KCwuZ\ni4sL69atG5szZw6Li4vj5vn4+LCEhATGGGM8Ho+dPn2aMcbY4sWL2apVqxhjjA0fPpwdOHCAMcbY\ntm3bWOvWrRljjKWlpTFHR0fGGGNhYWFc+ZKSEubu7s7S0tKk4hCJRFx5xhg7f/48MzAwYCKRiHst\nNzeXMcZYcXExc3R05Katra3Zs2fPWFJSEhs5ciSrqKhgjDE2e/ZsFhERwZ48ecKsrKy4ZeXl5THG\nGAsJCWFr167llj9ixAgWERHBGGNsx44dzN/fnzHGWHBwMBs5ciSrrKxkjDG2cuVKtn79esYYY2fO\nnGHvvvuuzH6V99k25NhJNQpCiNoYGBggISEB27dvR9u2bTFu3Djs2rVLplzz5s0xfPhwAJLb+4pE\nIgDAtWvXuHvFBwUFyV1HTEwMIiIiIBQK4enpidzcXKSmpkqVYXKuL/Dw8EDnzp256Q0bNnA1mszM\nTKSkpEi9/+zZs0hISIC7uzuEQiHOnz+PtLQ0XL9+Hf379+eWZWJiIne9165d4+5DP2HCBFy6dAmA\n5PqH9957jxvUb+rUqdytiXfs2PHa28w2BmqjIITIUOV1eDo6OvD29oa3tzecnJywa9cumdvUVp2a\nqipfUVFRr3Vs3rwZvr6+9XqPgYEB9zw2NhZnz57FtWvX0LJlSwwYMAAlJSUy7wkODsbq1aulXjt9\n+nSd1ykvYQHgBkwFAEtLS5ibm+PcuXP4/fffsX///jovX1FUoyCEqE1ycrLUL/PExERYW1vX+f2e\nnp44cuQIANQ4PtzgwYMRGhrKJZfk5GQUFxdLlTE0NERBQUGN63nx4gX4fD5atmyJv//+G9euXZOa\nz+PxMGjQIBw5cgRPnz4FAOTm5iIjIwOenp64cOECVwuqas94dZ19+vThtmHv3r3o379/jfFMmzYN\nEyZMQEBAgEru0UOJghCiNoWFhZg8eTJ69OgBgUCAv//+W+49L6ofDHk8Hje9fv16fP/993BxccH9\n+/dhbGws855p06bBwcEBrq6ucHJywuzZs2VqJGZmZujbty+cnJywZMkSqXUAwJAhQ1BRUQEHBwcs\nXbpUpqcSj8eDvb09Vq1aBT8/PwgEAvj5+XGN9du3b8eYMWPg4uLCnSIbOXIkjh07xjVmb9q0CeHh\n4RAIBNi7dy82bNggd/ur3ltUVKSS004AjfVEyBurKXyXXr58iVatWgGQ1CgOHjyIY8eOqWz9YrEY\n5ubmyM7OVmm31T/++AMLFy5EXFyc3PmNPdYTtVEQQrRWQkIC5s2bB8YY+Hw+duzYodL1Ozo6Yvr0\n6SpNEl9//TW2bduGffv2qWydVKMg5A1F36Wmi0aPJYQQolKUKAghhNSKEgUhhJBaUaIghBBSK0oU\nhBCNs379erx8+bJRllXfIcflqesw5A0ZrlyTUaIghGicDRs2yFw9rU5Vw5A3VjltQ4mCEKI2RUVF\nGD58OFxcXODk5IRDhw5h06ZNePjwIQYMGIBBgwYBkAzs16dPH7i5uSEgIABFRUUAgC+//BIeHh5w\ncnLCzJkzueUmJCRAIBDAxcVF6sDdv39/3Lx5k5vu168fbt26JRXTnTt3uKHCXVxckJqaKjUM+ZIl\nS1BUVIS3334bbm5ucHZ2xsmTJwFAphwAfPvtt9wQ5/KuOtcGdB0FIW+o2r5LH330Ef7880+Fluvi\n4oL169fXqezRo0dx5swZ7h4RBQUFMDQ0RJcuXZCQkABTU1Pk5ORg7NixiI6ORqtWrbBmzRqUlZVh\nxYoVyMvLA5/PBwBMmjQJAQEBGDFiBJydnREaGop+/fph8eLFiIqKwq1btxAREYHExESsW7cOycnJ\nGD9+PHdHvSoLFiyAp6cn3n//fVRUVKCiogLZ2dkYMWIEl1TEYjGKi4thaGiInJwc9O7dGykpKUhP\nT5cqFxMTg6NHjyIsLAyVlZUYPXo0Fi9eDC8vL4X2bV3RdRSEkCbD2dkZv/76Kz777DNcunRJ7o2H\nrl27hqSkJPTp0wdCoRARERHIyMgAAJw7d467cdG5c+eQlJSE58+fIz8/H/369QMATJw4kVvWu+++\ni9OnT6OioqLGIbp79+6N1atX45tvvoFIJELLli1lDrCVlZVYunQpBAIBfH198fDhQzx58kSmXExM\nDGJiYiAUCuHm5oZ79+7JDHGuDWgID0KIjLrWCBrK1tYWiYmJiIyMxPLlyzFo0CCsWLFCppyvr6/M\nkBUlJSWYO3cuEhISYGFhgZUrV6KkpERmAL3qB299fX34+vri+PHjOHz4MHcHveqCgoLg6emJ06dP\nY9iwYQgLC0OXLl2kyuzduxc5OTm4ceMGdHV10aVLF7nDjgPA0qVLMWPGjDrvE01ENQpCiNo8evQI\nLVu2xPjx4/Hpp58iMTERgGQI7hcvXgAAevXqhcuXL+P+/fsAJO0aKSkp3IHZzMwMhYWFOHz4MADA\n2NgYJiYmuHz5MgDJQb26adOmYcGCBfDw8JAabbZKWloaunTpgvnz52P06NG4desWjIyMpIYEf/Hi\nBdq1awddXV2cP38e6enpXNzVyw0ePBg7duzg2lQePHjADUOuTahGQQhRm1u3bmHRokXQ0dFBs2bN\nsG3bNgDAjBkzMGTIEFhYWODs2bPYuXMngoKCUFpaCgD46quvYGtri+nTp8PR0RHt27dHr169uOWG\nh4dj6tSp4PF48PPzk6pluLq6wtjYuMYhug8dOoTdu3ejWbNm6NChA5YtWwYTExNuGPJhw4Zh8eLF\nGDlyJJydneHu7g57e3sA0sOVDxs2DGvWrMHdu3e5YckNDQ2xZ88etG3bVin7U1moMZuQN9Sb+l2q\n6lF17949dYeiNNSYTQghCoqIiICnp6fM7UpJ7ahGQcgbir5LTZfW1iimTp0Kc3PzWi+lX7BgAWxt\nbSEQCLhGLUIIIeqlskQxZcoUREdH1zj/l19+QWpqKlJSUrB9+3bMnj1bVaERQgiphcp6PXl5eUEk\nEtU4/+TJkwgODgYg6Q73/PlzZGdnw9zcXKasnK7PGoXPB17pdq0ST58CmZmqX29jsbQE2rVTdxRv\nDj6fL3PNAWkaqq5Wbywa0z32wYMHsLKy4qYtLS2RlZUlN1G4uYVUm/L596FZzpwB/PxUt768PMDa\nGtCgcdTqrUULICODkoWq5ObmqjsEokSxsbGIjY1tlGVpTKIAILfxRR6hMEQF0SgmK0vyyz4pSbWJ\nQiSSJIlWrQA7O9Wtt7HcuyeJ/59/KFEQ0hh8fHzg4+PDTa9cuVLhZWlMorCwsEBmtfMmWVlZsLCw\nkFtWk089/ec/wP/+B/x7IabKVK1PKAT+vSBVqwwcCJw/r/r9Rgh5PY25jmLUqFGIiIgAIBkEzMTE\nRO5pJ01nYCD5q65EUbV+baOu/UYIeT2V1SiCgoIQFxeHnJwcWFlZYeXKlSgvLwcAzJw5E8OGDcMv\nv/wCGxsbGBgYIDw8XFWhNSpKFIqhREGI5lJZoti/f/9ry2zevFkFkSgXJQrFUKIgRHNpzKmnpoIS\nhWIoURCiuShRNDJKFIqhREGI5qJE0cgoUSiGEgUhmosSRSOjRKEYShSEaC5KFI2MEoViKFEQorko\nUTSyqgNeYaFq11u1Pm1PFKreb4SQ16NE0cioRqEYqlEQorkoUTQyShSKoURBiOaiRNHI9PUlf4uL\ngcpK1a2XEgUhRFkoUTQyXV2gZUvJ85cvVbdeShSEEGWhRKEE6jjoUaIghChLvRJFfn4+Dh48iNOn\nT3MD+hFZlCjqjxIFIZrrtYMClpSUYPPmzTAzM4OxsTFGjBiBwsJCHDx4EGVlZbC2toaPjw90dKhy\nUoUSRf1RoiBEc702UURHRyMtLQ2ffvop95qBgQEmTJgAAMjIyMD58+cxaNAg5UWpZShR1F9V3MXF\nAGMA3cqZEM3x2kTh7++PDz74ANbW1rC3t4ePjw9at27Nze/UqRM6deqk1CC1jaoThVgMlJZKDq6t\nWqlmnY27UHvfAAAgAElEQVRNV1dyz+zSUkkngKreY4QQ9avT/SjmzZuHRYsW4d69e9i3bx/y8/Oh\np6cHDw8PeHp6QldXV9lxahVVJ4qq9ejra/cvcQMDSaIoKqJEQYgmqVOiqLopd/fu3dG9e3cAQHFx\nMebPn4+hQ4di9OjR2L17t/Ki1DLqShTaetqpioEBkJsr2Z62bdUdDSGkSr3vcJebm4vQ0FBs2bIF\nenp6WLFiBWbMmKGM2LRW1Zk5VSeKamcEtZKq9xshpG7qnChSUlKwbt067Nq1C3Z2dli7di0CAgKg\np6eyu6lqDapRKIZ6PhGimep0lPf390dkZCSGDBmCyMhI+Pj4KDks7UaJQjGUKAjRTHVKFOfOncOi\nRYswb948dOzYUdkxaT1KFIqhREGIZqpTovjkk08wa9YsnD17Fg8ePACPx4OdnR0GDBiA1q1bY+PG\njViwYIGyY9UalCgUQ4mCEM1Up0Tx4Ycfgs/nY/z48dxrSUlJ2LNnD/Ly8rBlyxZKFNVQolAMJQpC\nNFOdEgWfz5d5zcHBAQ4ODgAkDd3k/1GiUAwlCkI0U6MM0DRnzpzGWEyTQYlCMZQoCNFMr61R7N27\nF6WlpXBxcYGrqyv3emVlJc6fPw+RSARLS0ulBqltKFEohhIFIZrptYmiql3i5s2bCA8PB4/HQ2Vl\nJXR1dTFgwAAaDFAOShSKoURBiGaq89VyAoEAAoFAmbE0GZQoFEOJghDNRDeRUAJKFIqhREGIZqJE\noQSUKBRDiYIQzaTSRBEdHQ07OzvY2tpizZo1MvNjY2NhbGwMoVAIoVCIVatWqTK8RkOJQjGUKAjR\nTCob0U8sFmPevHn47bffYGFhgZ49e2LUqFGwt7eXKuft7Y2TJ0+qKiylqDrgFRaq5m5thYXS69VW\n1fcbIURzqKxGER8fDxsbG1hbW6NZs2YIDAzEiRMnZMoxxlQVktLo6QHNm0uSREmJ8tdHNQpCiDKp\nrEbx4MEDWFlZcdOWlpa4fv26VBkej4crV65AIBDAwsIC3333HXf1d3UhISHccx8fH40czdbAACgr\nkxz0lH17UkoUhJBXxcbGIjY2tlGWpbJEwavD+RdXV1dkZmZCX18fUVFR8Pf3R3Jysky56olCUxkY\nAHl5koNemzbKXRclCkLIq179EV11p1JFqOzUk4WFBTIzM7npzMxMmSu6DQ0Nof/vzZKHDh2K8vJy\n5ObmqirERqXKgx4lCkKIMqksUbi7uyMlJQUikQhlZWU4ePAgRo0aJVUmOzuba6OIj48HYwympqaq\nCrFRUaKov+r7rAk0VRHSZKjs1JOenh42b96MwYMHQywW44MPPoC9vT3CwsIAADNnzsSRI0ewdetW\n6OnpQV9fHwcOHFBVeI1OVYmishJ4+VLy/N/KmNZq1kzyKC8HSkuBli3VHREhBAB4TMu6GfF4PK3o\nGTV0KBAdDZw+DQwfrrz1FBYChoaSBvPiYuWtR1X4fOD5cyAnBzAzU3c0hDQdDTl20pXZSqKqGkVT\nOe1UhdopCNE8lCiUhBKFYihREKJ5KFEoCSUKxVCiIETzUKJQEkoUiqFEQYjmoUShJK1bS/6qKlFU\nrU/bqWq/EULqjhKFklCNQjFUoyBE81CiUBJKFIqhREGI5qFEoSSUKBRDiYIQzUOJQkkoUSiGEgUh\nmocShZJQolAMJQpCNA8lCiWhRKEYShSEaB5KFEpCiUIxlCgI0TyUKJSEEoViKFEQonkoUSgJJQrF\nUKIgRPNQolASShSKoURBiOahRKEklCgUQ4mCEM1DiUJJmjcH9PSAigqgrEx566FEQQhRNkoUSlR1\n0CssVN46qpbd1BKFMvcZIaR+KFEokSp+HVONghCibJQolIgSRf1RoiBE81CiUCJKFPVHiYIQzUOJ\nQomUfdBjDCgull6XtmveHNDVVX4nAEJI3VGiUCJlJ4qXLyXJokULycG1KeDxqFZBiKahRKFEyj7g\nNbXTTlUoURCiWShRKBElCsVQoiBEs1CiUCJKFIqhREGIZqFEoUSUKBRDiYIQzUKJQokoUSiGEgUh\nmoXHGGPqDqI+eDwevL291R1GnWRmAv/8A1hZAV27Nv7ynz0Dbt8GTE0BJ6fGX7663LkD5OQAPXoA\nbdqoOxpCmoa4uDgoerinGoUS6fy7d8Vi5Sy/slLyt6l0ja2i7P1GCKknpkJRUVGse/fuzMbGhn39\n9ddyy8yfP5/Z2NgwZ2dnduPGDZn5Kg65QcLDGQMYmzRJOcv/6SfJ8idPVs7y1WXmTMl2hYaqOxJC\nmo6GHDtVVqMQi8WYN28eoqOjkZSUhP379+Pu3btSZX755RekpqYiJSUF27dvx+zZs1UVnlJQG4Vi\nqI2CEM2iskQRHx8PGxsbWFtbo1mzZggMDMSJEyekypw8eRLBwcEAgF69euH58+fIzs5WVYiNjhKF\nYihREKJZ9FS1ogcPHsDKyoqbtrS0xPXr119bJisrC+bm5lLlQkJCuOc+Pj7w8fFRSswNVXXAu3wZ\n6NWr8ZeflSW9nqaianvCwoBfflFvLIRoqxcvYlFQENsoy1JZouDxeHUqx15plZf3vuqJQpPZ2Eju\ncldQAMTHK289dnbKW7Y62NtL/j56JHkQQhTh8++jykqFl6SyRGFhYYHMzExuOjMzE5aWlrWWycrK\ngoWFhapCbHQWFoBI9P+//JXByOj/D6xNxahRwN9/A8+fqzsSQpoOT0/F36uyROHu7o6UlBSIRCJ0\n7NgRBw8exP79+6XKjBo1Cps3b0ZgYCCuXbsGExMTmdNO2sbCQvIg9dO9u7ojIIRUUVljtp6eHjZv\n3ozBgwfDwcEB48aNg729PcLCwhAWFgYAGDZsGLp27QobGxvMnDkToaGhqgqPqEBsbKy6QyANQJ/f\nm0tlNYqpU6ciMjIS7dq1w61bt7jXZ86cCUDyTzh69Gh07doVhoaGGDt2LFxdXVUVHlGB2NhYje14\nQF6PPr83l8oSxZQpUzB//nxMmjSpxjLe3t44efKkqkIihBBSByo79eTl5QU+n19rmVd7PBFCCNEA\njXZ9eB2kpaUxR0dHufNiY2OZqakpc3Z2ZkOHDmV37tyRWw4APehBD3rQQ4GHolR26ul1XF1dkZmZ\nCX19fURFRcHf3x/JyclyyzKqeWilkJAQrbkGhsiiz0+71fVaNnk0ZvRYQ0ND6OvrAwCGDh2K8vJy\n5ObmqjkqQgghGpMosrOzuZpCfHw8GGMwNTVVc1SEEEJUduopKCgIcXFxyMnJgZWVFVauXIny8nIA\nki6yR44cwdatW6Gnpwd9fX0cOHBAVaERFaGuldqNPr83l1be4U7LQiakyTI1NUVeXp66wyCv4PP5\nMqfuG3LspERBCFEYfR81k7zPpSGflca0URBCCNFMlCgIIYTUihIFIYSQWlGiIIRoNWtrazg7O0Mo\nFMLDw0NumRMnTuDu3bv1XvapU6ewZs0aheJavXq1Qu8bPnw4Xrx4odB7lYUaswkhCtOE72OXLl2Q\nkJBQ63VXkydPxsiRIzF27FiZeWKxGLq6uo0el6GhIQoKCupcvmo/NuQK6irUmE0IIa+o7QB45coV\nnDp1CosWLYKrqyv++ecf+Pj44OOPP0bPnj2xYcMGnD59Gp6ennB1dYWvry+ePHkCANi5cyfmz58P\nAHj69CneffddeHh4wMPDA1euXAEAFBYWYsqUKXB2doZAIMDPP/+MpUuX4uXLlxAKhZg4cSIA4Pvv\nv4eTkxOcnJywYcMGAIBIJEL37t0RHBwMJycnZGZmwtramuvaumfPHvTq1QtCoRCzZs1CZWUlxGIx\nJk+eDCcnJzg7O2P9+vVK268chUeJUhMtDJmQJqum7yPQsEd9dOnShbm4uDA3Nze2fft2uWUmT57M\njh49yk37+PiwuXPnctN5eXnc8x9++IEtXLiQMcZYeHg4mzdvHmOMsaCgIHbp0iXGGGPp6enM3t6e\nMcbY4sWL2ccffyyzrNatW3Ov/fHHH8zJyYkVFxezwsJC1qNHD5aYmMjS0tKYjo4Ou379OlfW2tqa\nPXv2jCUlJbGRI0eyiooKxhhjc+bMYRERESwhIYH5+vpy5Z8/fy6zvfI+l4YcOzVmUEBCCFHE5cuX\n0aFDBzx9+hS+vr6ws7ODl5eXTDn2Sq1j3Lhx3PPMzEwEBATg8ePHKCsrQ9euXWXe/9tvv0m1cxQU\nFKCoqAhnz57FwYMHuddNTExk3nvp0iWMGTMGrVq1AgCMGTMGFy9exKhRo9C5c2eZthXGGM6ePYuE\nhAS4u7sDAF6+fAlzc3OMHDkS//zzDxYsWIDhw4fDz8+vLrupQShREEIanSqbLTp06AAAaNu2Ld55\n5x3Ex8fLTRSvnvs3MDDgns+fPx+ffvopRowYgbi4OLmj5DLGcP36dTRv3lzuvNq82j7AGOPiqR7H\nq4KDg+U2iv/111+Ijo7Gtm3bcOjQIfz000+1rr+hqI2CEKK1iouLuQbjoqIixMTEwMnJSaacoaGh\nTE+i6gfuFy9eoGPHjgAk7RLy+Pn5YePGjdz0zZs3AQC+vr7YsmUL9/rz588BAM2aNUNFRQUAyY3b\njh8/jpcvX6KoqAjHjx+Hl5dXjQmGx+Nh0KBBOHLkCJ4+fQoAyM3NRUZGBp49e4aKigqMGTMGX375\nJW7cuFHzDmoklCgIIVorOzsbXl5ecHFxQa9evTBixAi5p2ICAwPx7bffws3NDf/88w8A6RpGSEgI\n3nvvPbi7u6Nt27ZS86qeb9y4EX/88QcEAgF69OiBsLAwAMDy5cuRl5cHJycnuLi4IDY2FgAwY8YM\nODs7Y+LEiRAKhZg8eTI8PDzg6emJ6dOnQyAQyMRRfdre3h6rVq2Cn58fBAIB/Pz88PjxYzx48AAD\nBgzgGsq//vrrRtqbNaPusYQQhTX17+PatWtRWFiIzz//XN2h1Etjd4+lNgpCCJFj27ZtiIiIwM8/\n/6zuUNSOahSEEIXR91Ez0QV3hBBCVIoSBSGEkFpRoiCEEFIrShSEEEJqRYmCENKkrF+/Hi9fvmyU\nZYlEIrkX8L1Oeno69u/f32jl1I0SBSGkSdmwYQOKi4vVGkNaWhr27dvXaOXUjRIFIURrFRUVYfjw\n4XBxcYGTkxO++OILPHz4EAMGDMCgQYMAADExMejTpw/c3NwQEBCAoqIiAMCXX34JDw8PODk5YebM\nmdwyExISIBAI4OLigtDQUO71/v37c8N2AEC/fv1w69YtxMXFQSgUQigUws3NDYWFhfjss89w8eJF\nCIVCbNiwAenp6ejfvz/c3Nzg5uaGq1evAoBMucrKSixatAgeHh4QCATYvn27Knbja9F1FIQQhdX0\nffzoo4/w559/KrRMFxeXOt9j4ejRozhz5gx3QH3x4gUEAgF3I6OcnByMHTsW0dHRaNWqFdasWYOy\nsjKsWLECeXl54PP5AIBJkyYhICAAI0aMgLOzM0JDQ9GvXz8sXrwYUVFRuHXrFiIiIpCYmIh169Yh\nOTkZEyZMQHx8PEaNGoWlS5eid+/eKC4uRosWLXDp0iV89913OHXqFADJyK86Ojpo0aIFUlJS8P77\n7+P3339HXFycVLnt27fj6dOnWLZsGUpLS9GvXz8cPnwY1tbW9dqHdB0FIYT8y9nZGb/++is+++wz\nXLp0CUZGRlLzr127hqSkJPTp0wdCoRARERHIyMgAAJw7dw6enp5wdnbGuXPnkJSUhOfPnyM/Px/9\n+vUDAO6mQwDw7rvv4vTp06ioqMCOHTswefJkAEDfvn3x8ccfY9OmTcjLy4Ourq7MAbmsrAzTpk2D\ns7MzAgICuOHKXy0XExODiIgICIVCeHp6Ijc3F6mpqY26zxRBQ3gQQhqdSu66BsDW1haJiYmIjIzE\n8uXLMXDgQJkyvr6+Mu0AJSUlmDt3LhISEmBhYYGVK1eipKREZoC+6gdyfX19+Pr64vjx4zh8+DA3\nauuSJUswYsQIREZGom/fvjhz5oxMDOvWrUOHDh2we/duiMVitGzZssZt2rx5M3x9feu1H5SNahSE\nEK316NEjtGzZEuPHj8enn36KxMREGBkZcUOK9+rVC5cvX8b9+/cBSNo0UlJSUFJSAgAwMzNDYWEh\nDh8+DAAwNjaGiYkJLl++DADYu3ev1PqmTZuGBQsWwMPDA8bGxgCA+/fvo0ePHli8eDF69uyJe/fu\nwcjISOp+2S9evED79u0BABERERCLxQBk76s9ePBghIaGcsOTJycnq71hHqAaBSFEi926dQuLFi2C\njo4Omjdvjq1bt+LKlSsYMmQILCwscPbsWezcuRNBQUEoLS0FAHz11VewtbXF9OnT4ejoiPbt26NX\nr17cMsPDwzF16lTweDz4+flJ1TJcXV1hbGyMKVOmcK9t2LAB58+fh46ODhwdHTF06FDweDzo6urC\nxcUFU6ZMwZw5czB27FhERERgyJAhaN26NQBAIBBIlVuwYAFEIhFcXV3BGEO7du1w7NgxFe3NmlFj\nNiFEYW/a97GqR9W9e/fUHUqtqDGbEELUICIiAp6ennJvTdrUUY2CEKIw+j5qJq2tUUydOhXm5ua1\nXg6/YMEC2NraQiAQIDExUVWhEUIIqYXKEsWUKVMQHR1d4/xffvkFqampSElJwfbt2zF79mxVhUYI\nIaQWKuv15OXlBZFIVOP8kydPIjg4GICkS9vz58+RnZ0Nc3NzFUVICKkvPp8vc+0BUb+qK84bi8Z0\nj33w4AGsrKy4aUtLS2RlZclNFK6uIdzz9u190KGDj9xl+voCgYGNHSkhpEpubq66QyA1iI2NRWxs\nbKMsS2MSBSB7OXtNv1QSE0PqtLw9e4B33gFatGhoZIQQol18fHzg4+PDTa9cuVLhZWlMorCwsEBm\nZiY3nZWVBQsLC7llf/zx9cv7/HPgwQMgORlQYDh5Qggh/9KYRDFq1Chs3rwZgYGBuHbtGkxMTGps\nn/jgg9cvLzISOHYMuH2bEgUhhDSEyhJFUFAQ4uLikJOTAysrK6xcuRLl5eUAgJkzZ2LYsGH45Zdf\nYGNjAwMDA4SHhzdofY6OkkRx6xYQFNQYW0AIIW+mJnvB3aFDwLhxwMiRwMmTKgiMEEI0mFZccKdq\njo6Sv7dvqzcOQgjRdk22RlFeDhgYSP4WFAD/DtZICCFvJKpRyNGsGWBnJ3melKTeWAghRJs12UQB\n/H9vJzr9RAghimvSiYLaKQghpOEoURBCCKkVJQpCCCG1arK9ngCgshIwMgKKioCcHMDMTMnBEUKI\nhqJeTzXQ0QF69JA8p1oFIYQopkknCoBOPxFCSEM1+URBXWQJIaRhmnyioBoFIYQ0TL1Gj83Pz0d0\ndDQMDAwwePBgNGvWTFlxNZrqiYIxgO7aSAgh9fPaXk8lJSXYvHkzzMzMYGxsjMGDB6OwsBC//vor\nysrKYG1tDR8fH+joqKZyUt+We8aAtm2BZ8+ArCyghnshEUJIk9aQXk+vTRTHjx/Hr7/+ii1btsid\nn5GRgZSUFAwaNEihAOpLkY318QHi4oCoKGDIEOXERQghmkyp3WP9/f1x4MABfPvttzh9+jQKCwul\n5nfq1EllSUJR1E5BCCGKq1Mbxbx587Bo0SLcu3cP+/btQ35+PvT09ODh4QFPT0/o6uoqO84GoZ5P\nhBCiOIWvzC4uLsb8+fNx+PBhjB49Grt3727s2ORSpPp0+TLQrx/g5gb88YeSAiOEEA2m1DaKV+Xm\n5iI0NBRbtmyBnp4eFixYgBkzZsDY2FihAOpLkY19/hzg84FWrSQ3MdLwChAhhDQ6lSSKlJQUrFu3\nDrt27YKdnR0WLlyIgIAA6OnVq4dtgym6sVZWkl5PycmAra0SAiOEEA2m9LGe/P394eDggMzMTERG\nRiIhIQHvv/++ypNEQ1CDNiGEKKZOieLcuXNYtGgRwsLC4OPjo+SQlIMatAkhRDF1qhJ88sknmDVr\nFs6ePYsHDx6Ax+PBzs4OAwYMQOvWrbFx40YsWLBA2bE2CNUoCCFEMXVqo8jLywOfz5d6LSkpCRcu\nXEBeXh62bNmCrKwspQVZnaLn2W7ckPR6cnAA7txRQmCEEKLBGtJGUacaxatJAgAcHBzg4OAAQNLQ\nrens7SXjPN27B5SWAi1aqDsiQgjRDo0yQNOcOXMaYzFK1aoVYGMDiMWSZEEIIaRuXluj2Lt3L0pL\nS+Hi4gJXV1fu9crKSpw/fx4ikQiWlpZKDbKxODoCKSmSdgpnZ3VHQwgh2uG1iWL8+PEAgJs3byI8\nPBw8Hg+VlZXQ1dXFgAEDNH6cp+qcnIBjx6hBmxBC6qPOF0IIBAIIBAJlxqJ0VT2fbt1SbxyEEKJN\nmvwd7qqjLrKEEFJ/Cg8KqC4N6eJVXg60bg2UlQEvXgCGho0cHCGEaCilD+HRWKKjo2FnZwdbW1us\nWbNGZn5sbCyMjY0hFAohFAqxatWqRl1/s2aAnZ3keVJSoy6aEEKaLJUN1iQWizFv3jz89ttvsLCw\nQM+ePTFq1CjY29tLlfP29sbJkyeVFoejI/DXX5LTT716KW01hBDSZKgsUcTHx8PGxgbW1tYAgMDA\nQJw4cUImUSj7TFjVmE+HDklOQSmDkREQECCpwRBCiLZTWaJ48OABrKysuGlLS0tcv35dqgyPx8OV\nK1cgEAhgYWGB7777jrv6u7qQkBDuuY+PT70GKqzquBUTI3koy/PnwNy5yls+IYTUJjY2FrGxsY2y\nLJU1Zh89ehTR0dH44YcfAAB79uzB9evXsWnTJq5MQUEBdHV1oa+vj6ioKHz44YdITk6WDrgBDTKA\n5Mrs1auBhw8VXkStHj0CTpwAPD2Bq1eVsw5CCKkvpY/11BgsLCyQmZnJTWdmZspc0W1YrRvS0KFD\nMWfOHOTm5sLU1LTR4tDVBVasaLTFySgqAszNgWvXgLQ0oEsX5a2LEEJUQWW9ntzd3ZGSkgKRSISy\nsjIcPHgQo0aNkiqTnZ3NZbz4+Hgwxho1SaiCgQFQtVmHDqk3FkIIaQwqSxR6enrYvHkzBg8eDAcH\nB4wbNw729vYICwtDWFgYAODIkSNwcnKCi4sLPvroIxw4cEBV4TWqwEDJ3/371RsHIYQ0hjfqgjtV\nKS0F2reXNGgnJUmGOCeEEHXSmgvu3hQtWgBjxkieHzyo3lgIIaShKFEoSfXTTxpeASKEkFrRqScl\nqagALCyAJ08kt2EVCtUdESHkTdaQYyclCiWaNw/YskUyVEjVyLXdugGLFkluy0oIIapCiUJDXbsG\n9O4t+3pCAlDtZoGEEKJ0WnHB3ZvI0xM4cwbIyJBMh4cDV65IBiWkREEI0RaUKJTMz+//nz9+LEkU\ndOMkQog2oV5PKlQ1ci0lCkKINqFEoUJ0K1ZCiDaixmwVqqyU3Ir15UsgNxfg89UdESHkTUFXZmsJ\nHR2gRw/Jc6pVEEK0BSUKFaPTT4QQbUOJQsUoURBCtA0lChWjnk+EEG1DiULFqtcotLRNnhDyhqFE\noWIdOkh6O+XmSu6vTQghmo4ShYrxeNROQQjRLpQo1IASBSFEm1CiUANKFIQQbUKJQg0oURBCtAkN\n4aEGubmAmRmgrw8UFEiu2CaEEGWiITy0jKkp0LEjUFwMpKWpOxpCCKkdJQo1qTr9dOuW5HoKbXkQ\nQt48lCjUpCpRvPOO5NSTNjxatQKOH1fvfiOEqB4lCjV55x3AyEjdUdRPaSmwYYO6oyCEqBo1ZpM6\nyc8HzM2BsjIgK0vSxkII0R7UmE2UztgYGDZM0k5x6JC6oyGEqJJW1ii8vb3VHcYb6elTICkJMDQE\nXF3VHQ0hpD7i4uKoRkGUz8xM0qhdUACUlKg7GkKIqmhljULLQm5Sxo8H9u0DVq8Gli5VdzSEkLrS\nmjaK6Oho2NnZwdbWFmvWrJFbZsGCBbC1tYVAIEBiYqIqwyN1EBgo+XvggHrjIISojsoShVgsxrx5\n8xAdHY2kpCTs378fd+/elSrzyy+/IDU1FSkpKdi+fTtmz56tqvBIHQ0eDJiYAH/9JWmvIIQ0fXqq\nWlF8fDxsbGxgbW0NAAgMDMSJEydgb2/PlTl58iSCg4MBAL169cLz58+RnZ0Nc3NzVYVJXqN5c2Ds\nWOCnn4AtW4ApU9QdESFE2VSWKB48eAArKytu2tLSEtevX39tmaysLJlEERISwj338fGBj4+PUmIm\n8gUGShJFaKjkQQjRRLH/PhpOZYmCx+PVqdyrjS3y3lc9URDVGzBAUpP46y91R0IIqZnPvw+JhISV\nCi9JZYnCwsICmZmZ3HRmZiYsLS1rLZOVlQULCwtVhUjqSFcX2LFD3VEQQuqjjr/V5VJZY7a7uztS\nUlIgEolQVlaGgwcPYtSoUVJlRo0ahYiICADAtWvXYGJiQu0ThBCiZipLFHp6eti8eTMGDx4MBwcH\njBs3Dvb29ggLC0NYWBgAYNiwYejatStsbGwwc+ZMhNIJ8CYlNjZW3SGQBqDP782lslNPU6dORWRk\nJNq1a4dbt25xr8+cOROA5J9w9OjR6Nq1KwwNDTF27Fi40jgRTUpsbCx1PNBi9Pm9uVSWKKZMmYL5\n8+dj0qRJNZbx9vbGyZMnVRUSIYSQOlDZqScvLy/w+fxay9DQHIQQooGYCqWlpTFHR0e582JjY5mp\nqSlzdnZmQ4cOZXfu3JFbDgA96EEPetBDgYeiVHbq6XVcXV2RmZkJfX19REVFwd/fH8nJyXLLMqp5\naKWQkBC6BkaL0een3ep6LZs8GjPMuKGhIfT19QEAQ4cORXl5OXJzc9UcFSGEEI1JFNnZ2VxNIT4+\nHowxmJqaqjkqQgghKjv1FBQUhLi4OOTk5MDKygorV65EeXk5AEkX2SNHjmDr1q3Q09ODvr4+DtA4\n1k0Oda3UbvT5vbnoxkWEvMFMTU2Rl5en7jBII+Pz+TKn7hty7KREQcgbjL5PTZO8z1Vr7nBHCCFE\n+1CiIIQQUitKFIQQQmpFiYIQonZTp06Fubk5nJycpF4PCQmBpaUlhEIhhEIhoqOjZd6bnp6O/fv3\nKxdKNmQAACAASURBVLTevn37KvS+EydO4O7du/V+X1hYGHbv3q3QOtWJEgUhRO2mTJkiNwnweDx8\n8sknSExMRGJiIoYMGSJTJi0tDfv27ZO73IqKilrXe/nyZYXiPXbsGJKSkur1HrFYjJkzZ2LixIkK\nrVOdKFEQQtSutkFDX9dT57PPPsPFixchFAqxfv167Nq1C6NGjcKgQYPg6+uLoqIivP3223Bzc4Oz\ns7PUCNWtW7fmnn/77bfw8PCAQCCQGqokIiICAoEALi4umDRpEq5evYpTp05h0aJFEAqF+Oeff/Dn\nn3/C09MTAoEAY8aMwfPnzwFIrj35+OOP0bNnT2zYsAErV67E2rVrAQD379/H0KFD4e7ujv79++Pe\nvXsAgMOHD8PJyQkuLi7w9vZWaH82OoVHiVITLQyZEI1V2/cJaNijvuQNGhoSEsI6d+7MnJ2d2dSp\nU1leXp7M+2JjY9mIESO46fDwcGZpacmVraioYC9evGCMMfb06VNmY2PDlW3dujVjjLEzZ86wGTNm\nMMYYE4vFbMSIEezChQvs9u3brFu3buzZs2eMMcYtc/Lkyezo0aPccpycnNiFCxcYY4z997//ZR99\n9BFjjDEfHx82d+5cqe1Zu3YtY4yxgQMHspSUFMYYY9euXWMDBw7klvXw4UPGGGP5+fl13X1S5H2u\nDTl2asyggIQQ8qrZs2fjv//9LwBgxYoVWLhwIX766SepMkzO9QJ+fn4wMTEBAFRWVmLp0qW4ePEi\ndHR08PDhQzx58gTt2rXj3hMTE4OYmBgIhUIAQFFREVJTU1FUVISAgABuOKGqZVZfb35+PvLz8+Hl\n5QUACA4OxnvvvceVGzdunMx2FRUV4cqVK1LlysrKAEjaTYKDgxEQEIAxY8bUZ3cpDSUKQohcmnAd\nXvWD+bRp0zBy5Mg6va9qgFEA2Lt3L3JycnDjxg3o6uqiS5cuKCkpkXnP0qVLMWPGDKnXNm/eXOOp\nr5pGY321vIGBgUyZyspK8Pl8JCYmyszbunUr4uPjERkZCTc3NyQkJKh93DtqoyCEaKxHjx5xz48d\nOybTKwoAjIyMUFBQwE2/eqB+8eIF2rVrB11dXZw/fx7p6ekyyxg8eDB27NiBoqIiAMCDBw/w9OlT\nDBw4EIcPH+aGw6ga7sTQ0BAvXrwAABgbG4PP5+PSpUsAgN27d9c6LhZjDIaGhujSpQuOHDnCvfbX\nX38BkLRdeHh4YOXKlWjbti2ysrJq30kqQDUKQojaVQ0a+uzZM1hZWeGLL77AlClTsGTJEvz555/g\n8Xjo0qULwsLCZN7r7OwMXV1duLi4YPLkyeDz+VK/9sePH4+RI0fC2dkZ7u7usLe35+ZVlfP19cXd\nu3fRu3dvAJJEsGfPHjg4OGDZsmXw9vaGrq4uXF1dsWPHDgQGBmL69OnYtGkTDh8+jF27dmHWrFko\nLi7GW2+9hfDw8Bq3tWqde/fuxezZs7Fq1SqUl5cjKCgIzs7OWLx4MVJSUsAYw9tvvw1nZ+dG2ccN\nQWM9EfIGe5O/T8+ePYObmxtEIpG6Q2l0NNYTIYQ00MOHD9GnTx8sWrRI3aFoBapREPIGo+9T00Q1\nCkIIISpFiYIQQkitKFEQQgipFSUKQgghtaJEQQhpcvLz87F161Z1h1En69evx8uXL7np4cOHcxfz\naQrq9UTIG6ypfp9EIhFGjhyJW7du1fk9VfuhpqE5lKVLly74448/YGZm1mjLpF5PhJAmRSQSwc7O\nDlOmTEH37t0xfvx4xMTEoG/fvujWrRt+//13AEB8fDz69OkDV1dX9O3bF8nJyQCAO3fuoFevXhAK\nhXBxcUFqaio+++wz3L9/H0KhEEuWLAEgfxhxkUiE7t27Izg4GE5OTjLDZSQkJMDHxwfu7u4YMmQI\nHj9+zL1eNfT4okWLuKFFdu7cifnz53PvHzFiBOLi4gAAc+bMQc+ePeHo6Mitf+PGjXj48CEGDBiA\nQYMGAQCsra25IUO+//7/2LvzuKir9YHjHzZFFEHNJQEFdxBQlMRdzMxcQq92Teua6XXJUrTF0tut\nsO1nWd3M5WaLu7mXu17NxNRSc8lMTMEAwV3ZlB3m/P44MYoMyDoD+Lxfr+8LZubM93tmRufhbM/5\nBB8fH3x8fJg9e7axzp6enowbNw5vb2/69OljMndVqSp23lkLqYBVFqLcuuf/px49TB/3Kl8EkZGR\nytbWVv3+++/KYDCo9u3bq9GjRyullNq4caMaNGiQUkqppKQklZWVpZRSateuXWrIkCFKKaUmTpyo\nVqxYoZRSKjMzU6WmpqqoqKhcKcvzSyMeGRmprK2t1aFDh/LUKyMjQ3Xq1Eldv35dKaXUqlWrjPXy\n8fFR+/btU0opNXXqVOXj46OU0inOJ06caDzHgAED1N69e5VSSsXFxSmldNrzwMBAdfLkSaWUUu7u\n7sY05nfePnLkiPLx8VEpKSnq1q1bqnXr1ur48ePG9+vEiRNKKaWGDh2qli9fnqvupj7Xknx3Sq4n\nIYTFeXh40Lp1awBat27NI488AoC3t7cxxUZCQgLPPPMMERERWFlZGXev69y5M++99x6xsbEMHjyY\nZs2a5eliyS+NuJubG40bN6ZDhw556nTmzBlOnTplrEt2djYNGzY0phXv2rUrACNGjGD79u33fI2r\nV6/myy+/JCsri0uXLhEWFoa3t7fJskop9u/fz+DBg6lWrRoAgwcPZt++fQQFBeHh4WHMAWWONCQS\nKIQQ+QsNLdvyf6latarxd2tra6pUqWL8PScgvPHGG/Tq1YvvvvuO6OhoY4bW4cOH07FjR7Zs2UK/\nfv1YsGABHh4eea5hKo14VFSUyTTgoL+sW7duzU8//ZTr/pzd6+4sl8PW1haDwWC8ndMlFBkZyccf\nf8yRI0dwcnJi1KhR9+wuuntMQSllHD+58/2ysbHJNRheFmSMQghRISQlJdGwYUOAXNlZ//zzTzw8\nPJg0aRIDBw7k5MmTeVKP55dGvCAtW7bk2rVrHDx4EIDMzEzCwsJwdnbG2dnZuN/2ihUrjM9xd3fn\n119/RSlFTEwMhw8fBuDmzZtUr16dmjVrcuXKlVwtkDtTluewsrKiW7dubNiwgdTUVJKTk9mwYQPd\nunWzyOQDaVEIISzu7plGd97O+f3VV19l5MiRvPvuu/Tv3994/5o1a1i+fDl2dnY8+OCDvP766zg7\nO9OlSxd8fHzo168fH3zwgck04lZWVvnOcqpSpQrr1q0jODiYxMREsrKyePHFF/Hy8mLRokWMHj3a\nuJtejq5du+Lh4YGXlxeenp60b98e0KnQ/fz8aNWqFW5ubsZuK4Bx48bx2GOP4eLiwu7du433+/n5\n8eyzzxq7xcaOHUubNm2Iiooq8P0qCzI9Voj7mPx/Krno6GgGDBhQpKm4ZU2mxwohRDly59hBZSUt\nCiHuY/L/qXKqsC2K0aNHU79+fZN73uYIDg6mefPmtGnTxuSm40IIIczPbIFi1KhR7NixI9/Ht23b\nRkREBOHh4XzxxRdMmDDBXFUTQghRALMFim7dulGrVq18H9+0aRMjR44EICAggISEBK5cuWKybFra\n7SM7u0yqK4QQ4i/lZnrshQsXcHNzM952dXUlNjaW+vXr5ynrW+0pwmkBgJNTIL/8Ekjz5marqhBC\nlHuhoaGEFnMB5N3K1awnU4MvppxlJVNs62BrG0JiYiDPPAN/Ld4UQlQSd6ffLomoqKgCx0cLo7Cp\ny8tLivPAwEBCQkKMR0mUm0Dh4uJCTEyM8XZsbCwuLi6mC//tb/wnK5jEdz7DxQUOHoQPPjBTRYUQ\nZjF79mxSUlIsXQ2j+Ph45s+fX2rlKpJyEyiCgoJYunQpAAcPHsTZ2dlktxMAq1fD3/6Gw/TJfB+k\nU++GhIBMlBKi4klOTqZ///60bdsWHx8f1qxZw5w5c/Kk3965cyedO3emffv2DB061JiO45133qFD\nhw74+Pgwfvx443nvTAV+5xd39+7dOXHihPF2165d8yyWK0zq8uTkZB555BHat2+Pr68vmzZtAih0\nivMKpdh5Z4to2LBh6sEHH1R2dnbK1dVVff311+rzzz9Xn3/+ubHMCy+8oJo2bap8fX3V0aNHTZ7H\nWOWMDKUGD1YK1Nd9VitQystLqbNnlTp3Th9paeZ4ZUJUXAV9BUyePFn16NGjWMfkyZMLXYd169ap\nsWPHGm8nJSUppXKn37527Zrq3r27SklJUUopNXPmTPX2228rpW6n71ZKqREjRqjNmzcrpfKmAs9J\nO75kyRI1ZcoUpZRSZ86cUf7+/nnqNGnSpHumLs/KyjLW9dq1a6pZs2ZKKVXoFOdlydTnWpKve7MN\nZq9cufKeZebOnVv4E9rZwapV8NFHDBs7gA+6QFgYtGhxu4iXF5w8Cdblpt0khLibr68vr7zyCtOm\nTWPAgAG58iDlOHjwIGFhYXTu3BmAjIwM4+8//PADs2bNIiUlhbi4OLy9venatWu+qcCfeOIJ3nnn\nHWbNmsXChQsZNWpUnut16tTpnqnLDQYD06dPZ9++fVhbW3Px4kWuXr1a6BTn3bp1K+E7Zz7lZtZT\nsdjZwfTpOAArV8Kzz8KtW/qhS5d04Ni/H7p3t2QlhaiYPv30U7Ncp3nz5hw/fpytW7fy73//m169\nevHGG2/kKde7d2+++eabXPelpaXxwgsvcPToUVxcXJgxYwZpaWl5JsLc+eXt4OBA79692bBhA2vX\nruXYsWN5rlWY1OUrVqzg+vXrHDt2DBsbGzw8PPJNHW4qxXlFUmn+1m7XDn77Df78Ux9Tpuj7C9GQ\nEUJY0KVLl7C3t+fpp5/mlVdeMWZluDP9dkBAAAcOHODcuXOA/qs8PDzc+MVcp04dbt26xdq1awFw\ncnLKNxU4wJgxYwgODqZDhw44OTnlqVNkZOQ9U5cnJSVRr149bGxs2LNnD9HR0cZ6lzTFeXlTsVsU\n+UlO5qlBMHNmddatg88+040PIUT5c/LkSaZOnYq1tTV2dnZ8/vnnQN7024sXL2b48OGkp6cD8N57\n79G8eXPGjh2Lt7c3DRo0ICAgwHjeu1OB39nKaNeunXEDIVPWrFnDsmXLCkxd/uqrr/L444/j6+uL\nv78/np6egA5ahUlxXrdu3TJ5P8tC5UsKqBQEBaGuX6fzjS0cDK/D9u3w2GPmq6MQFcX9mhQwZ0bV\nmTNnLF2VMlFhkwKajZUVjBqF1fHjbIrvijuRrFpl6UoJIcqLpUuX0rFjR95//31LV6XCqHwtihw/\n/kh20CCuJ9ox3GET224EYG9f9vUToiK5X1sUlZ20KAqre3dsDv1MRpUabE0J5OBnhy1dIyGEqJAq\nb6AAaNmSjdMOMp/n+eJwW0vXRgghKqTK2/X0l/PnoXFjqFYNrl6FGjXKsHJCVDC1a9cmPj7e0tUQ\npaxWrVrExcXluq8kXU+VPlAAdO0KBw7oxIGvvlpGFRNCiHJMxijuYfp0/fONN+D33/+68/p1+Okn\ni9VJCCEqiiIFisTERFavXs2WLVvIzMwsqzqVuv79YcwYyMiAf/xD/+Rf/4IePWDOHL32oogqVjtM\nCCGK755dT2lpacydO5c6derg5OREnz59uHXrFrt27SIjIwN3d3cCAwOxNlPmveI2n27ehDZtIDJS\nx4j3Xk2EZ56BTZvg6afh888LPYDx00/Qpw+8/Ta8+GKRqyKEEGZXpmMUGzZsYNeuXcybN8/k4+fP\nnyc8PNyYM76sleTF5iQItLKCffugc0cDvP8+vPWWTju7di14exd4DqWgc2e9WVLz5nD2bLGqIoQQ\nZlXmg9l16tRh2rRpeHp6EhgYSA0LTh0q6QKh116DDz+Epk3h11//akT88AM89ZTun3r33QKfv2UL\nPP747dtnzuRObS6EEOVRmQeKt956ixkzZnDmzBn27t1LYmIitra2dOjQgY4dO2JjY1OsixdHSQNF\nejp06KAzzT73HBi3tr16FWrXBtv88yQaDNC+vQ4wTk6QmAiffCLdT0KI8s8i02NTUlKYNGkSa9eu\nZeDAgSxbtqxYFSiq0kg58Ntv8NBDelB72zbo27dwz1u7FoYOhYYNdcNj9Gh4+GHYvbtE1RFCiDJn\n1kARFxfH/PnzmTdvHra2tgQHBzNu3DiTOd3LQmnlpvnwQ90N9eCDehe8OnXyKXj2LHh4kG1th7c3\n/PGHboUMHQr16unxjuvXdQtDCCHKK7OsowgPD+f555/Hzc2N7777jo8//pjIyEimTp1qtiBRml5+\nWS/Eu3QJnn8+n+muycm6ydCpE1s+DOOPP8DDQ7ckateGLl0gKwt27jR79YUQwmwKFSgGDRqEl5cX\nMTExbN26laNHj/LUU09hW0B/fnlnYwNLlujB7DVr8tkJr3p1mD0bQ2QUff7Vjhf5hJA3sqlSRT/c\nv7/+uXWr2aothBBmV6iup5o1azJx4kQmTpxIw4YNzVGvfJV2WuSvvoKxY8HZWXdBubrmflwpGBt0\nhce3jGMgm1AdO2K1cCF4ehIWBq1bQ926umVixjF9IYQokjLvenrppZcIDg5mz549fPjhh8yaNYvN\nmzdz69YtAD777LNiXbw8+Oc/YcAASEjQXUoGQ+7Hv/kGvt5Sn39U38DV/yzHKjwcLlwAwNNTd0Vd\nuwa//GKBygshhBkUqkURHx9PrVq1ct0XFhbGjz/+SHx8PPPmzSM2NrbMKnmnstho5fJlvc7uxg2d\n0WPiRH1/TAz4+OhpsF99pYMKt27lWsE9aRLMnQuvv37PJRhCCGExFs8eO3r0aBYuXFjS0xRKWe3I\n9e23MGSITkf+xBN6NtOxYzqJ4OOPw8aN+r67/e9/ej/uBx+E3r3vfR13d3jzTemmEkKYl8UDxZEj\nR/D39y/paQqlLLduHDkSli7Nfd8DD+hgUb++6eekpel1FRPi3+MCLizlGdQ9evTef/92RlshhDCH\nMg0UK1asID09nbZt29KuXTvj/QaDgT179hAVFYWrqyt9+vQpVgWKqiwDRVoabNigV2/n6NIFmjUr\n+HlhJ7Op/feHaXDmR6427cihEXOJc2+fp9zlyzBtGtjZweHD0FY23RNCmIlZWhQnTpzg2LFjWFlZ\nYTAYsLGxoWfPnjRq1KhYFy6ucrsZvMEAy5bpnZGuXdMj4+++Cw0a5Co2cSLMm6fHRH75BeztLVRf\nIcR9xeJdT+ZUbgNFjsREnX98zhwYMQK+/jrXw8nJ4OcH4eHwyiswa5aF6imEuK9IoCiPwsP1gj0T\n604OHdJdWgYD7N0L3bpZoH5CiPuKbIVaHjVvbjJIAAQE6DxTSsHHH5u5XkIIUURmDRQ7duygVatW\nNG/enA8++CDP46GhoTg5OeHn54efnx/vVsaFCSdOQNeuvNxuD9bWsH27XuwnhBDlldkCRXZ2NhMn\nTmTHjh2EhYWxcuVKTp8+nadcjx49OH78OMePH+ff//63uapnPpcvQ3Q0tZ94mF+cetEhYx/ffWfp\nSgkhRP7MFigOHz5Ms2bNcHd3x87OjmHDhrFx48Y85SrE+ENJ9Omjxy9mz6ZV9in20R2/Vx7W9wkh\nRDlktvSvFy5cwM3NzXjb1dWVQ4cO5SpjZWXFTz/9RJs2bXBxceGjjz7Cy8srz7lCQkKMvwcGBhIY\nGFhW1S4b9vYQHEza4DG83vhLJsTN41pWLepaul5CiEojNDSU0NDQUjmX2QKFlan8F3dp164dMTEx\nODg4sH37dgYNGsTZs2fzlLszUFRktV0dCO87mZZbg5m3x4rnPS1dIyFEZXH3H9EzZswo9rnM1vXk\n4uJCTEyM8XZMTAyud+X0dnR0xMHBAYC+ffuSmZlJXFycuapoEcOGAVixapWJB/fs0QstEhPNXCsh\nhLjNbIHC39+f8PBwoqKiyMjIYPXq1QQFBeUqc+XKFeMYxeHDh1FKUbt2bXNV0SIGDtQ9Ufv26Wy1\nuWzbpld6u7nB5MkyjiGEsAizBQpbW1vmzp1Lnz598PLy4sknn8TT05MFCxawYMECANatW4ePjw9t\n27ZlypQprDL5Z3bl4uio98MAvdNeLrNmwZEjEBSkN+pu0QL69QMzpXQXQgiQldnlwvr1OrW5nZ0O\nHKbUM1xmZPoCHs9YzyvdDrNppz12duatpxCi4pIUHhVcair4+kJERGFKK8CK7dv1PhhGmZl6kwtr\nWWwvhMhLUnhUcNWqwenTcP36vY/XX9ezx1auvOskS5ZAkybw1ltw7pz5X4QQotKSFkUFEx6uhyoc\nHeHq1TvSlO/eDR98AN9/r5NIdeumd2J64glwcrJonYUQlictivtI8+bQvj3cvKknRRn16gU7d0J0\ntN5C7+pVGDNGb3ohhBAlIIGiAtJrLzC99sLNTe+zevq03kavZ0/TJ8nKKrP6CSEqF+l6qoDOn4fG\njfXYxpUr+c+Uytfly+DlpafaDh6sR8X/WugohKicpOvpPtOoEXTtqmdLbdpUjBOkpcHf/gY7dsCQ\nIfDAAzBoEHz7banXVQhR8UmgqKAK7H66F3d3vUXr5ct68Hv0aDh6FH74oTSrKISoJKTrqYK6ckVv\noGdjA8eOQY0aecvUqlWECU9KQUqK3r71btu26cceeQScnUtUbyGEZciCu/vUo4/Crl35P16tms4A\nYiJTe9H07au7qaytoUMH6N1bB42OHaFKlRKeXAhhDhIo7lN79sCECXrI4W63bsGNG3qsev36El4o\nMxMOHdLB4vvv9ZRbg0F3V7VrV8KTCyHMQQKFyOPiRWjaVAeRI0f02otSk5AAoaHw+OO67+tu//mP\nDiAPPSSzqYQoJyRQCJOmToWPPtKzYLduNdNFL14EFxf9u62tjlCdO+tpWoMHm6kS5ceCBfDxx7oB\nVhKurrBunZ6gZi7R0Xphf3z8vctaWek5EdOnl329RPFIoBAmXb8OHh66G+rAAf19bRZxcfDTT7B/\nvz6OHIFWreDXX81UgfLh+HE9pFNaaxuHDIG1a/WXsjm8+Sa8807RnrN7Nzz8cNnUR5SMBAqRr5z/\n7D17WnD2a0aGnorbqFHex77/HiZN0i0Pf3/w84O2bSt8fqq0NP1yTp2CceN06664btzQcwdu3YJl\ny+Af/yi9ehakXTsd7JYsufcfGYsW6cwxbm7w228yOa48kkAh8pWQoFsVCQn6C8bUNNrSZmsLY8fq\n1On3tH//7Q2aLl68ff/kyfDpp2VWx7L2yiu6y6lFC/1lW9KhmoUL4Z//1PHz5En9hVyWLlzQ3V0O\nDjpQGZNP5iMrC7p00VljnnlGBxdRvkigEAWaOdP8fcetW8OJE6bHuvN1+bL+Vj1+HHx89GD53Vat\n0k2j1q1vHw0amK8/phD27tUtOGtr3QPXoUPJz6mUXjy/adPt/I9lufXIl1/qllBQEGzcWLjnnDmj\nG4SpqXqm3X04JFWuSaAQBcrKgtWrISnJPNebOVPno1qxAp56qpRP/n//p0fo4+Ju3+fsDLNn6z9l\nLSwpSbekoqN1t9+MGaV37itXdPy8dk3/hV+SQGFvr7ux+vUz/fjAgTooffGFbh0W1ty5uifR2jr/\nVkjv3jqQFOmPiHIsM1MH8dDQoj/Xzk43nJ99trRrlZcEClGu5HSTNGsGYWGU/patSuk06qdO6eP0\nad2vZqojfdo03bRp0UJXqFkzPW/Yw6MMKgajRsHixXrI5eefS/8SW7bov9QzM0t+rhYt9Ntna5v7\n/rQ0qFNHL8aPjb09ia0wDAY96L5hQ8HlZs6E114rep3Lo7ff1vuFFVe1avqfaPPmpVcnUyRQiHIl\nK0uvBg8Ph6++0kHDYt58U3+7hofr0eAcW7ea/nP6jz90GpOc/ChFsGGDzrVob6/Tqnh6lrDu+cjI\nKFmgyM7WA9XnzumgPmpU7sd37NCL8f389OsojuRk0/fv2aN7FO3s9LrNNm2Kd/7y4sgRnaAgO1u/\nb127Fu3548bBN99AQIAerrs7aJemEn13qgqmAlb5vvTNN0qBUo0aKZWWZunaKKUMBqUuX1Zq/36l\nlixR6soV0+X8/XXFbW2VcndXqkcPpf7xD6UiIws8/ZUrStWtq5/66aelXvtSt2yZrmvjxkqlp+d+\n7IUX9GNvvFE2137uOX1+H59y8m+jmFJSlGrVSr+WyZOLd464OKVcXPQ53n23dOt3t5J8d0qLQpQJ\ng0H/tfj773r2j0VbFUVgsz8Um/AzWMVEYx17HuuYaKwvxHBr8x5UY4885R2e6ItVSjI/RzfklwsN\ncWjWkHEhDbEeGGSeKWbFlJ2tx1LCwmDePHj+eX2/Unrr9agonbWlNAbi75acrGdAR0To2WH//nfp\nX8Mc3nwTPvtMtxyPHtVdSMXx/fd63MbWVk+EaN26aM+vUqVw15auJ1Eu5XTFVGafM56WnMGFCzTk\nItVJ0Q9cvAgPPpj3CaNG6ZHeevWgfn2oW1cfgYFmT7C4fr1eef3gg7obqlo1PWbh7a2rd+lS2c2s\n+vln3U1T0hXrlmZrCwcPljxFTnAwzJlTvOdaWenpyCNG3KucBApRDikFf/97wRluK4sqVeC/8xVP\n9Lmpg0Tz5qbHODp2hJgYPRh/55LtxESoWTNv+SeegKpVde6O2rX1UaeOfmNLOFKulP6CO35cz7pp\n3173k69erW8vWlSi09/Thx/qQe3s7LK9TlmxsdGtiilTSn6ulBQ9LlTU5AVKwc2buvF64oRuDeZH\nAoUQFY1SOonS1at6vmvXrnnXgigFnTrpx69fzz2/OSMjb6BQSs/qql5dTxl2dtYr9Jyc9BxMEyOl\n++afZMQLjtxEH5noVs26dXr2kijflIInn9SpXbp21VN085uDIYFCiPtBVpYOLnFx0LKl6cfHjtXL\n8HOOxET95+qlS3kDUWZmnu6uTJuqpFdzplr8JWxs7ypvMMDEifrP1+rVc/80lVdEKR3gHBx0v1ZZ\nrhC8j924obsLL1/WrbT80sVIoBBCFF1Wll5Vl5io+y9yjowM+OSTvOWTk/U2usnJevl1DgcHlJ8q\nqAAAIABJREFU0/Nh794xsWpVXbZWLT0ocrf0dN3nZW+f+6hRA15/3XT9//c/fd6qVXXQq1pVP6dV\nq6K+GxXa9u16tneVKnrmt6tr3jKenhIohBDmlJ2tA0FO0PDIOyOM9HS9kCanTGqqfg7o6UJ3u3lT\n72GSmqpX/aWm6nPY2+tgdrfERNPZBx0dTachSErSQapKFX3Y2emftWvr6Xl3S07WS67t7PRha6t/\n1qypl6zfLS0N3nvvdjlbW90P5OCgdxi7W2amzo+SUy7nZ9Wq0KNH3vLZ2XpxqY1N7sPODlxceO45\nndb+NkU1UjFgTTY2ZFHl/goUPUy9iUKI+4tSehGlwaB/NxhuT6MytXGHwaBzy+SU08sXdJecqWXR\n2dk6FW7OuXPK29iYnuaUlaXz+d/N1lZnTCzj8tnZerpzTmPPlizapd4uvxckUAghRLmRE1RyDlNL\nrpXSLaw7y+UwNQMuZ8wnp9ydga5+/bzlDQadBvivcnujoipGoNixYwdTpkwhOzubMWPG8JqJZC/B\nwcFs374dBwcHFi9ejJ+fX+4KS9eTEEIUWUm+O802DSE7O5uJEyeyY8cOwsLCWLlyJadPn85VZtu2\nbURERBAeHs4XX3zBBFP9ekIIIczKbIHi8OHDNGvWDHd3d+zs7Bg2bBgb70p0v2nTJkaOHAlAQEAA\nCQkJXLlyxVxVFEIIYUIZ5irM7cKFC7jdsS2Xq6srhw4dumeZ2NhY6t/V/xYSEmL8PTAwkMDAwDKp\nsxBCVFShoaGEFmeTDBPMFiisCrkD2d19aKaed2egEEIIkdfdf0TPKMEuWmbrenJxcSEmJsZ4OyYm\nBte7VoXcXSY2NhaXouyaIoQQotSZLVD4+/sTHh5OVFQUGRkZrF69mqCgoFxlgoKCWLp0KQAHDx7E\n2dk5T7eTEEII8zJboLC1tWXu3Ln06dMHLy8vnnzySTw9PVmwYAEL/lpO2K9fP5o0aUKzZs0YP348\n8+fPN1f1hBmUVn+psAz5/O5fZhujGD16NFu3bqVevXqcPHnSeP/48eMB/Y9w4MCBNGnSBEdHR4YM\nGUK7du3MVT1hBqGhoTLxoAKTz+/+ZbZAMWrUKCZNmsQzzzyTb5kePXqwadMmc1VJCCFEIZit66lb\nt27UqlWrwDKy4loIIcqhYu+2XQyRkZHK29vb5GOhoaGqdu3aytfXV/Xt21edOnXKZDlADjnkkEOO\nYhzFZbaup3tp164dMTExODg4sH37dgYNGsTZs2dNllXS8qiQQkJCZA1MBSafX8VW2LVsppSbLacc\nHR1xcHAAoG/fvmRmZhIXF2fhWgkhhCg3geLKlSvGlsLhw4dRSlG7dm0L10oIIYTZup6GDx/O3r17\nuX79Om5ubsyYMYPMzExAT5Fdt24d//3vf7G1tcXBwYFVq1aZq2rCTGRqZcUmn9/9q0JuXFTBqixE\nuVW7dm3i4+MtXQ1RymrVqpWn674k350SKIS4j8n/p8rJ1OdaITYuEkIIUTFJoBBCCFEgCRRCCCEK\nJIFCCGFxs2fPxsfHB29vb2bPnm28Py4ujt69e9OiRQseffRREhIScj3v/Pnz1KhRg48//tjkeT/9\n9FNSU1OLXJ+33nqL3bt3F/l50dHRrFy5ssjPu3jxIn//+9+L/DxzkUAhhLCo33//na+++opffvmF\nEydOsGXLFs6dOwfAzJkz6d27N2fPnqVXr17MnDkz13Nfeukl+vfvn++5Z8+eTUpKisnHDAZDvs+b\nMWMGvXr1KvJriYyM5JtvvinSc7KysmjYsCFr164t8vXMRQKFEMKi/vjjDwICArC3t8fGxoYePXrw\n7bffArBp0yZGjhwJwMiRI9mwYYPxeRs2bKBJkyZ4eXmZPO9nn33GxYsX6dmzp/FLv0aNGrzyyiu0\nbduWn3/+mXfeeYcOHTrg4+Nj3PIA4Nlnn2X9+vUAHD16lMDAQPz9/Xnssce4fPkyABERETzyyCO0\nbdsWf39//vzzT6ZNm8a+ffvw8/Nj9uzZpKenM2rUKHx9fWnXrp1xT4/FixcTFBREr1696N27N9HR\n0Xh7ewOQnZ3N1KlT6dChA23atOGLL74A4NKlS3Tv3h0/Pz98fHzYv39/aX0E91bsLFEWUgGrLES5\nVdD/JyjZUVinT59WLVq0UDdu3FDJycmqY8eOKjg4WCmllLOzs7GcwWAw3r5586bq1KmTSk5OViEh\nIeqjjz4yeW53d3d148YN420rKyu1du1a4+24uDjj7yNGjFCbN29WSin17LPPqvXr16uMjAzVqVMn\ndf36daWUUqtWrVKjR49WSinVoUMHtWHDBqWUUunp6SolJUWFhoaqAQMGGM/50UcfqX/+859KKaX+\n+OMP1ahRI5WWlqYWLVqkXF1dVXx8vFIqd8LUBQsWqHfffVcppVRaWpry9/dXkZGR6uOPP1bvvfee\n8b24efNmvu+pqc+1JN+d5SYpoBDi/tSqVStee+01Hn30UapXr46fnx82NjZ5yllZWRkT24WEhPDi\niy/i4OBQpLUBNjY2DBkyxHj7hx9+YNasWaSkpBAXF4e3tzcDBgwAdPLRM2fOcOrUKR555BFA/7Xf\nsGFDbt26xcWLFxk4cCAAVapUMT7nTgcOHCA4OBiAli1b0rhxY86ePYuVlRW9e/fG2dk5Tx137tzJ\nyZMnWbduHQBJSUlERETw0EMPMXr0aDIzMxk0aBBt2rQp9OsuKQkUQgiTzLkOb/To0YwePRqAf/3r\nXzRq1AiA+vXrc/nyZRo0aMClS5eoV68eoPPBrV+/nldffZWEhASsra2pVq0azz//fIHXsbe3Nwab\ntLQ0XnjhBY4ePYqLiwszZswgLS0tz3Nat27NTz/9lOu+mzdvFvq15RfIqlevnu9z5s6dS+/evfPc\nv2/fPrZs2cKzzz7LSy+9xIgRIwpdj5KQMQohhMVdvXoV0LOYvvvuO5566ikAgoKCWLJkCQBLlixh\n0KBBAPz4449ERkYSGRnJlClTeP31100GCUdHR5KSkkxeMyco1KlTh1u3buUZTLaysqJly5Zcu3aN\ngwcPApCZmUlYWBiOjo64urqyceNGANLT00lNTaVmzZq5gki3bt1YsWIFAGfPnuX8+fO0atWqwFZQ\nnz59mD9/PllZWcbnpaSkcP78eerWrcuYMWMYM2YMx48fL+gtLVXSohBCWNwTTzzBjRs3sLOzY/78\n+dSsWROAadOmMXToUL7++mvc3d1Zs2ZNkc47btw4HnvsMVxcXNi9e3euPRmcnZ0ZO3Ys3t7eNGjQ\ngICAgDzPt7OzY926dQQHB5OYmEhWVhYvvvgiXl5eLFu2jPHjx/Pmm28ay/n6+mJjY0Pbtm0ZNWoU\nzz//PBMmTMDX1xdbW1uWLFmCnZ1drm60HDm3x4wZQ1RUFO3atUMpRb169fjuu+8IDQ1l1qxZ2NnZ\n4ejoyNKlS4v6Nheb5HoS4j4m/59MCwoK4uWXX6ZHjx6WrkqxSK4nIYQoQ6NHjyY1NZWuXbtauirl\nhrQohLiPyf+nyklaFEIIIcxKAoUQQogCSaAQQghRIAkUQgghCiSBQghR6SQmJvLf//7X0tUolLtT\noffv3z/fRYKWIrOehLiPVdb/T1FRUTz++OOcPHmy0M/JeR/uXghX1jw8PDhy5Ah16tQptXPKrCch\nRKUSFRVFq1atGDVqFC1btuTpp59m586ddOnShRYtWvDLL78AOr9T586dadeuHV26dOHs2bMAnDp1\nioCAAPz8/Gjbti0RERFMmzaNc+fO4efnx2uvvQbArFmzjKm7Q0JCjNdu2bIlI0eOxMfHh9jY2Fx1\nyy/F+NGjR2nTpg1t27Zl6tSp+Pj4ADp9+KRJk4zPHzBgAHv37gXg+eef56GHHsLb29t4fVOp0N3d\n3YmLiwPgk08+wcfHBx8fH+OGTlFRUXh6ejJu3Di8vb3p06ePyRxVparYeWctpAJWWYhy657/n3r0\nMH3cq3wRREZGKltbW/X7778rg8Gg2rdvb0zlvXHjRjVo0CCllFJJSUkqKytLKaXUrl271JAhQ5RS\nSk2cOFGtWLFCKaVUZmamSk1NVVFRUca03Uop9b///U+NGzdOKaVUdna2GjBggPrxxx9VZGSksra2\nVocOHcpTr4JSjPv4+Kh9+/YppZSaOnWq8vHxUUoptWjRIjVx4kTjOQYMGKD27t2rlLqd0jwrK0sF\nBgaqkydPKqXypkLPuX3kyBHl4+OjUlJS1K1bt1Tr1q3V8ePHje/XiRMnlFJKDR06VC1fvjxX3U19\nriX57pRcT0IIi/Pw8KB169aAztaak9bb29ubqKgoABISEnjmmWeIiIjAysrKmDSvc+fOvPfee8TG\nxjJ48GCaNWuWp4tl586d7Ny5Ez8/PwCSk5OJiIjAzc2Nxo0b06FDhzx1yi/FeGJiIomJicaV2yNG\njGD79u33fI2rV6/myy+/JCsri0uXLhEWFmbcrOhuSin279/P4MGDqVatGgCDBw9m3759BAUF4eHh\nga+vLwDt27c3vkdlRQKFECJ/f+3IVmbl/1K1alXj79bW1sb9HaytrY0B4Y033qBXr1589913REdH\nExgYCMDw4cPp2LEjW7ZsoV+/fixYsAAPD48815g+fTrjxo3LdV9UVFS+6b6VUiZTjN+9b/edQcnW\n1jbXFqs5XUKRkZF8/PHHHDlyBCcnJ0aNGnXP7qK7xxSUUsbxkzvfLxsbm2LtC14UMkYhhKgQkpKS\naNiwIQCLFi0y3v/nn3/i4eHBpEmTGDhwICdPnsyT7rtPnz4sXLiQ5ORkAC5cuMC1a9cKvF5+Kcad\nnZ1xdnbmwIEDAMY04qDHF3799VeUUsTExHD48GFA719RvXp1atasyZUrV3K1QEylQreysqJbt25s\n2LCB1NRUkpOT2bBhA926dbPI5ANpUQghLC6/lNt3/v7qq68ycuRI3n33Xfr372+8f82aNSxfvhw7\nOzsefPBBXn/9dZydnenSpQs+Pj7069ePDz74gNOnT9OpUydAfzkvX77cZLrvHFWqVMk3xfiiRYsY\nPXo0VlZWPProo8bndO3aFQ8PD7y8vPD09KR9+/YA+Pr64ufnR6tWrXBzc8uVcPDuVOg5/Pz8ePbZ\nZ43dYmPHjqVNmzZERUUV+H6VBZkeK8R9TP4/lVx0dDQDBgwo0lTcsibTY4UQohy5c+ygspIWhRD3\nMfn/VDlJi0IIIYRZmS1QjB49mvr16xtXMJoSHBxM8+bNadOmjVk3DhdCCJE/swWKUaNGsWPHjnwf\n37ZtGxEREYSHh/PFF18wYcIEc1VNCCFEAcwWKLp160atWrXyfXzTpk2MHDkSgICAABISErhy5YrJ\nsn9NXxZCCGEG5WaM4sKFC7i5uRlvu7q65knQleO/3ZozYuh0QkJCCC3mSlAhRPl2d/rtkoiKiiqw\n27swCpu6vLykOA8NDSUkJMR4lES5CRSAyVF6UxapKCau3UNr1xeNy/iFEJXL7NmzSUlJsXQ1jOLj\n45k/f36plStrgYGBlS9QuLi4EBMTY7wdGxuLi4uLybLf/G0dfhyj0dhH+eLDBJNlhBAVQ3JyMv37\n96dt27b4+PiwZs0a5syZkyf99s6dO+ncuTPt27dn6NChxnQc77zzDh06dMDHx4fx48cbz3tnKvA7\nv7i7d+/OiRMnjLe7du2aZ7FcYVKXJycn88gjj9C+fXt8fX3ZtGkTQKFTnFcoxc47WwyRkZG5Uv/e\naevWrapv375KKaV+/vlnFRAQYLJcTpXXjdyo0rFTh3hI/eu5Gyozs2zqLERlVtBXwOTJk1WPHj2K\ndUyePLnQdVi3bp0aO3as8XZSUpJSKnf67WvXrqnu3burlJQUpZRSM2fOVG+//bZS6nb6bqWUGjFi\nhNq8ebNSKm8q8JzvniVLlqgpU6YopZQ6c+aM8vf3z1OnSZMm3TN1eVZWlrGu165dU82aNVNKqUKn\nOC9Lpj7Xknzdm61FMXz4cDp37syZM2dwc3Nj4cKFLFiwgAULFgDQr18/mjRpQrNmzRg/fvw9m25D\nFgfx4+T1ePM7v3++j379ID7eHK9ECFGafH192bVrF9OmTWP//v04OjrmKXPw4EHCwsLo3Lkzfn5+\nLF26lPPnzwPwww8/0LFjR3x9ffnhhx8ICwsjISEhTyrwHE888QRbtmwhKyuLhQsXMmrUqDzX69Sp\nE++//z4ffvghUVFR2Nvb5+kaNxgMTJ8+nTZt2tC7d28uXrzI1atXC0xx3r59e86cOUNERESJ3zez\nKn7Msoy7q3zwu4uqbl2lQKlmzZQ6fdpCFROiAiovXwHx8fFq+fLlqkePHsaWwp0tis2bN6vhw4fn\neV5qaqqqX7++io2NVUopFRISombMmKESEhJUo0aNjOVOnDiR66/8CRMmqLVr16omTZqohIQEk3X6\n888/1WeffaaaN2+ufvjhhzw9IosWLVJPPvmkcTMld3d3FR0dnafcyy+/rBYsWFDct6ZYTH2uJfms\ny80YRXEFDHqQI0egbVuIiIDOneHHHy1dKyFEYV26dAl7e3uefvppXnnlFeNi2zvTbwcEBHDgwAHO\nnTsH6HGN8PBw454OderU4datW6xduxYAJyenfFOBA4wZM4bg4GA6dOiAk5NTnjpFRkbeM3V5UlIS\n9erVw8bGhj179hAdHW2sd0lTnJc3lSLNeKNGsH8/PPUUbNoEvXvD4sUwfLilayaEuJeTJ08ydepU\nrK2tsbOz4/PPPwfypt9evHgxw4cPJz09HYD33nuP5s2bM3bsWLy9vWnQoAEBAQHG896dCvzOWZTt\n2rUzbiBkypo1a1i2bFmBqctfffVVHn/8cXx9ffH398fT0xPQQaswKc7r1q1bJu9nWahUSQGzs+HF\nF+HYnP1UJZ1HZ/bi1Vehkid2FKLY7tekgDkzqs6cOWPpqpQJSQpYABsbmP2pYlWTf7GNfhydtobp\n0+E+/H8ghMjH0qVL6dixI++//76lq1JhVKoWhVF8PNc6BVH3zH5e5QOSJ0xlzlwrrCtVWBSi5O7X\nFkVlJy2KwqhVi7q/7uJCtyf5kNfw/u/z/HNkFn/t0S6EEKIIKmeLIofBQNTTr+O6ahZdOIDbkAC+\n+QaqVCnbOgpRUUiLonIq7RZF5Q4Ufzm28gwPT2hJYiI89hisXw8ODmVUQSEqkNq1axMvK1UrnVq1\nahEXF5frPgkUhXD8ODz6KFy/Dt27w+bNULNmGVRQCCHKIRmjKAQ/P70Qr2FD/bNbN/jzT0vXSggh\nyr/7JlAAeHrCvn3QvDm4/LaNQ54j+X5T+UljLIQQ5VGRAkViYiKrV69my5YtZGZmllWdylSTJvDL\nLzDE6zRPZiyjzsAuzJ8aicFg6ZoJIUT5dM8xirS0NObOnUudOnVwcnKiT58+3Lp1i127dpGRkYG7\nuzuBgYFYm2mRQmnN0jAYYOUz2+i34mkA/tNmCRO2B/HggyU+tRBClDtlOpi9YcMGdu3axbx580w+\nfv78ecLDw42bi5S10p7Ot+frP6k9/u+0yT7GOw7/h9/qaQwYUGqnF0KIcqHMZz3VqVOHadOm4enp\nSWBgIDVq1CjWxUpDWcz7vhSVzqHuU/koZigH6MqwYTBzJjRuXKqXEUIIiynzQPHWW28xY8YMzpw5\nw969e0lMTMTW1pYOHTrQsWNHbGxsinXx4iirBUIGA/znP/D665CeDlWrwksvwbRpMo1WCFHxWWQd\nRUpKCpMmTWLt2rUMHDiQZcuWFasCRVXWK0mjo+Ff/4JvvtG3GzeGdevA37/MLimEEGXOrIEiLi6O\n+fPnM2/ePGxtbQkODmbcuHEmN/8oC+ZKOXDwILzwAjxy7AOO2Hbi73O6M368pCwXQlRMZgkU4eHh\n/Oc//2HJkiW0atWKl19+maFDh2Jra969j8yZmyY9LpmEJn7UTYzgP7zI78Pe4/1P7GVmlBCiwinz\nldmDBg3Cy8uLmJgYtm7dytGjR3nqqafMHiTMrWrt6tSPPUbEI8/xMp8wdVU7hjY+xMSJ8Ne+7kII\nUekVqkVRs2ZNJk6cyMSJE2nYsKE56pUvS2W7jPnqf1QLHkOt1Iv8g+WstxvOyJEwfbpexCeEEOVZ\nmXc9hYSE8Nxzz7F7924uXLiAlZUVrVq1omfPntSoUYPPPvuM4ODgYlWgqCyaFjkpieuT3+b1pGl8\nteEBDAa9q95TT+nZUi1bWqZaQghxL2UeKOLj46lVq1au+8LCwvjxxx+Jj49n3rx5xMbGFqsCRVVe\n8ueHh8P778OyZXqvbmtr+Mc/4M03oWlTS9dOCCFys3ia8dGjR7Nw4cKSnqZQykugyBEZqRfnbfn6\nCpey62JtY82oURASAi4ulq6dEEJoFg8UR44cwd9MCw3KW6AAIDubdL8AYi/Z8NSNuRxWD+HgAK++\nCq+8AtWrW7qCQoj7XZnOelqxYgULFy7k2LFjue43GAzs3r2br7/+mhs3bhTr4pWGtTVVX51CU9vz\nHCSAne5jqZ5ylZAQPW6xcCGyX7cQosIqdIvixIkTHDt2DCsrKwwGAzY2NvTs2ZNGjRqVdR1zKZct\nihxJSfD22zB7NllVHfiwzoe8fn48oPfAeOstGDZMD4ALIYQ5WbzryZzKdaDIceYMTJ2KoV9/VjqO\nJyQEIiL0Q61bw6xZ0LevRWsohLjPSKAor5QCKyuysmDpUt3YiI7WD/XpAx99BN7elq2iEOL+IIGi\ngkhPh/mzM/n2nd/Zf8sPa2v4299gwgR4+GHJIyWEKDtlnsKjtOzYsYNWrVrRvHlzPvjggzyPh4aG\n4uTkhJ+fH35+frz77rvmrF6Zq1oVXqyzlH232nG86RC8+Z316+GRR6BVK5g7F1JTLV1LIYTIzWwt\niuzsbFq2bMn333+Pi4sLDz30ECtXrsTT09NYJjQ0lE8++YRNmzblX+EK3KIAIDERPv0UPv4YdesW\np7z+zuRrb/DDVd0HVb++nlL73HNgwf2hhBCVTIVoURw+fJhmzZrh7u6OnZ0dw4YNY+PGjXnKVegg\nUBhOTnr6U2QkVtOm4R29jd1Xffjh/YO0awdXrsDUqeDurtdhnDtn6QoLIe53Zkv/euHCBdzc3Iy3\nXV1dOXToUK4yVlZW/PTTT7Rp0wYXFxc++ugjvLy88pwrJCTE+HtgYCCBgYFlVe2yU6eOzgHyyiuw\ndCk9gztwZBrs2AHvvAM//6xnR82apQe+p0+HHj0sXWkhREURGhpKaGhoqZzLbF1P69evZ8eOHXz5\n5ZcALF++nEOHDjFnzhxjmZs3b2JjY4ODgwPbt29n8uTJnD17NneFK3rXUyEoBYcPw1dz0/hmrR0p\n6XrhxaBB8OGHek2GEEIURYXoenJxcSEmJsZ4OyYmBldX11xlHB0dcXBwAKBv375kZmYSFxdnriqW\nG1ZWEBAAX3p+QlLDlmzrP5d6DrfYsEGvw5g4EX7/3dK1FELcL8wWKPz9/QkPDycqKoqMjAxWr15N\nUFBQrjJXrlwxRrzDhw+jlKJ27drmqmL54+eHTYN69N06iUu2rvzP+yUaZZ5j3jzw8dHBZMECmSkl\nhChbZgsUtra2zJ07lz59+uDl5cWTTz6Jp6cnCxYsYMGCBQCsW7cOHx8f2rZty5QpU1i1apW5qlc+\n9e0LP/0EP/+Mdf9+PPrHHMKtmvPv4eeoWVN3Tz33HHh6wqpVustKCCFKmyy4q0guXoQtW2DcOFJS\n4Lvv9JjFb7/phzt2hNmzoUMHy1ZTCFH+yMrs+1h2NixaBF9OO0e9G2HsoC9jnrPl/ffhrr2mhBD3\nsQoxmC3Kho0NjBkDP45ayGaCiMGVpp+/wqBmJ/niC70Tn8Fg6VoKISoyaVFUFpmZsG0bSXMW4/DD\nFmxVFsfw4zk+55RDB3x89HqMv/9dz5ySvFJC3F+k60nkoq5d55eXVuK0eRkj7ddw6Ip7rsc9PeHp\np2HsWKhXzzJ1FEKYlwQKUaAbN/QMqW+/1Ud8nIGn+IYfqvTlsafrMGkStG0rrQwhKjMJFKLQMjPh\nyLxDdHqxI1nYEEog3zKYvTWDaNjBlYcegoED9RoNIUTlIYFCFI1ScPw4cV+tJ3PVeurHnwFgAeN4\nDr2mJSAApkyBIUPAzs6SlRVClAYJFKL4lEKd/oOkZRs5m+nBSsOTLF4M8fH6YUdHaOKh8GhiRdOm\nekC8Z0+wNVs6SSFEaZBAIUpVcjIsX64X750+DZ8yGV9+YwePsYvexNRuy6DB1gwZooNG1aqWrrEQ\n4l4kUIgyoZQeCE9592McNyyjVvQJAK5Th930Yjr/x3XHJjz2GPTrp/NPtWihWyFCiPJFAoUwj0uX\nUN/vJmHtLmxCv2eQ61H2nG6Qp5iLC3h7g6+vPry9dQD5KzGwEMICJFAI81MKrKyIjIRNm2DfPjhz\nBqLOZnAsozXH8eMAXdhPV07QhmxscXMDLy89zhEUBE2bWvpFCHH/kEAhyo3sy9dIGTcZm4MHcLh2\nHoAUKwd28ih/U9/lKtu6tZ6KGxQEDz0E1pJQRogyI4FClE8xMbB/P/z8MwasOTfpU375BTZvhm3b\nICkJ6nIVb37nYv12+D/iTIMGepfYBx7QR87vjRtD9eqWfkFCVFwSKESFk5EBe/fCxVnLGblrBAAR\nNOUY7TiOHz/wMIe5verP2lqnHvH3h/bt9e+tWunxEFlRLsS9SaAQFVdiIurgIS5tPkL6z0epFXUc\n57hIdnpNZl6zT7l+Ha5fhz//hKwscCKBdKqSRjVAD5DXratnWuXMtrpxQz/n5k1wd4eWLfVRrx5U\nqaKn8zo66laKhwc0bCjdXqLyk0AhKpeEBEhPh/r1jXelpuoNmmzf/Bd+uz7gQtWmnDR4cTyjNWF4\nsY9uxNCoWJerUkUHDXd3HTiaNtWBpVUraNJEVqaLykEChbh/HDgAO3dCWBicOoUKD8cqK4uYN74g\n+tGxwO1xDQcHuLDnLOeibfk1vjHxSTakp+tur/h4iIqCyEi4ejX/y9na6m6unKm+LVqVKjJRAAAP\nMUlEQVToYOLhATVrmuclC1EaJFCI+1dGBkRE6H6lBx7I+/jAgXr+bpUqt5sLTZvC88/rJgN6JXpU\n1O3AER6up/qeOQPR0fnvRV6r1u2g0aSJnsXl66sDi719mb1iIYpFAoUQ+Tl6FH79VX/7R0To49w5\n2LEDunTJW/7//g8SE3VfVOPGpNRrTNhNN349V5PfftNPjYzUQSU11fQlbWygWbPb3Vd3/qxTp0xf\nrRD5kkAhRFEopQ9TI9iPPgqhoTof+52OHoV27XKd4soVuL7lIOdvVCcsoSG/nKvNbyetOHs2/+1n\n69TJPfjesKGeyfXQQ3pPEFm9LsqKBAohSlN2Nly+DOfP676nmBgYNw6cnPKWbdxYlwM9nerBB8lu\n0JAz76zl97iGnDkDf/xxuyurxq1LxFOLdPL2TdnYQIcO8PDDOtmil5cOLFWqlPHrFfcFCRRCWMrB\ngzqQXLgAly7BxYv6+O67PKPdSoGq8wDW8TfIcnAkw7k+SfZ1uZRVl4mOSzl42ilPS6QR0ShHJ6rU\ndaKhixUNG8KDD+rFh3dO9c1ZnOjoqMdcbt7UR1IS3Lqlf09Pv31eGxs9yyunS6xmTYwD/VlZuevg\n7CwtncpAAoUQFcXXX+s+q6tXb/+8dg2OHCEprQr79sGePbr3KyYGoq5WoxppZGFDHLWJozY3qMMj\nfG9cS3KnvmzjJo4k4kQCziTixE0cUZRsoYi9vQ5GNWveDlDVqkGDBnrRY8OGenA/p0vN2fn26vqa\nNWVRZHkggUKIykgpDEuWknbhBqnnr5N2KZ6sqzdQcfEs+8dOMjKtSE/XrYbr1yH+eja79+bdUcpg\nZc27b6RTpZqt8Qs7PR3ORSgG7XiO2CRH4rNqkmrrSKqdI6k2jmyuNhSsrDAYbi9rAbDCUOSgY2cH\nbm56dpi7uw4eVavqgFO9um4hNWyojxo1bj9ma3s7wFhZyWZZJSWBQgihR9CPHdPf7DlHYqLui3rz\nzbzl09L0t3diYu4pXFWq5OqnUgpSUuD6xQwat6iKwb4a2dVqkFW1Oum21bll48SsgQdISLjd5ZWQ\nAAnXsxh98V0SMqqRggOp6J+3qMFmgky8AEVt4kjDnjTsMWCT61FHx9trZO6cfmxnd/v+2rVzL5Cs\nXl0HIBcXvX7T3v52IMrO1l1tOV1ud/7MOTIy9NCUh4cOdhV58aUECiFEyWRl3R7MSE42rjHJJT1d\nTx9OTtZlk5P1oRR8+23e8klJJicAZFSpzv/96xbp6fo0ly7pIZ7EC7c4df72rlcZ2JGGPfHUwsMq\nOs96FntS+ZbBpFM113ETR17mkzzXtSOD0SwkgypkUIVM7MigCqlU4388lqe8FQaaEUEWtmRiR7aV\nHbXr22Ffswo2zo44OuYOPDVq3O5uc3LSb+mdASjn9/h4PcU6MhJiY3VrqWpVfTg43O6+u7N1dfdP\na+vcwezO69x5PoPhdkqbEyckUAghyiODQbdWco6UFP1t5uOTt2xaGnz5pS6XlqZ/pqeDlRXqo49J\nTLz9pZeRATYpN/GZ0gsy0lFp+lvTKiOdTNtqfBZ8DqV03Lt4UQeitEvx/HKudp7LJlk7EdAiwfjl\nmvOFXNs6gTW7auUpn4ATtUjIc39NEonEgyxscx3x1MKfo3nKV+cWm3mcLGzJxsb4M4maPMOyPOWr\nkcLHvEw2NrmOZKozg5A85auSxiTmYMCabGyYzYv3V6Do0aOHpashhKiIMjJ0C8hguP0T9J/vd1NK\nTzT4q5wyKLIzFQZlRVqdhmRn66fnnCo700CNq39iyFZgUFihsLJSKCtrbtRpgbX17bEWe3uwt8um\nWsRJrFAogzKu7zFY2XCruZ/x/MZqZmVRN/LwX6kCFFYKQKGsbbnRshNWVrqlkbNMiMwsHjh7wPhy\n9oIECiGEEHfJztY/lWLvgQMVI1Ds2LGDKVOmkJ2dzZgxY3jttdfylAkODmb79u04ODiwePFi/Pz8\ncldYup6EEKLISvLdabYs/NnZ2UycOJEdO3YQFhbGypUrOX36dK4y27ZtIyIigvDwcL744gsmTJhg\nruoJIYTIh9kCxeHDh2nWrBnu7u7Y2dkxbNgwNm7cmKvMpk2bGDlyJAABAQEkJCRw5coVc1VRCCGE\nCWZbwnLhwgXc3NyMt11dXTl06NA9y8TGxlL/jg1sAEJCQoy/BwYGEhgYWCZ1FkKIiio0NJTQ0NBS\nOZfZAoVVIdfw392HZup5dwYKIYQQed39R/SMGTOKfS6zdT25uLgQExNjvB0TE4Orq2uBZWJjY3Fx\ncTFXFYUQQphgtkDh7+9PeHg4UVFRZGRksHr1aoKCci/jDwoKYunSpQAcPHgQZ2fnPN1OQgghzMts\ngcLW1pa5c+fSp08fvLy8ePLJJ/H09GTBggUsWLAAgH79+tGkSROaNWvG+PHjmT9/vrmqJ8ygtPpL\nhWXI53f/qpAL7ipYlcVfQkJCZHypApPPr2KrEOsohBBCVEwSKIQQQhSoQnY9CSGEKLrift1XuD2j\nKlhcE0KICk+6noQQQhRIAoUQQogCSaAQQghRoHIbKHbs2EGrVq1o3rw5H3zwgckywcHBNG/enDZt\n2nD8+HEz11AU5F6f34oVK2jTpg2+vr506dKF3377zQK1FKYU5v8ewC+//IKtrS3fmtovW1hMYT6/\n0NBQ/Pz88Pb2LlxSVVUOZWVlqaZNm6rIyEiVkZGh2rRpo8LCwnKV2bp1q+rbt69SSqmDBw+qgIAA\nS1RVmFCYz++nn35SCQkJSimltm/fLp9fOVGYzy6nXM+ePVX//v3VunXrLFBTYUphPr/4+Hjl5eWl\nYmJilFJKXbt27Z7nLZctCtm7omIrzOfXqVMnnJycAP35xcbGWqKq4i6F+ewA5syZwxNPPEHdunUt\nUEuRn8J8ft988w1DhgwxJmV94IEH7nnechkoTO1LceHChXuWkS+b8qEwn9+dvv76a/r162eOqol7\nKOz/vY0bNxp3oJS1TeVHYT6/8PBw4uLi6NmzJ/7+/ixbtuye5y2X6yhKc+8KYX5F+Rz27NnDwoUL\nOXDgQBnWSBRWYT67KVOmMHPmTGPuoLv/HwrLKcznl5mZybFjx9i9ezcpKSl06tSJjh070rx583yf\nUy4DhexdUbEV5vMD+O233xg7diw7duygVq1a5qyiyEdhPrujR48ybNgwAK5fv8727duxs7PLs22A\nML/CfH5ubm488MADVKtWjWrVqtG9e3dOnDhRYKAol4PZmZmZqkmTJioyMlKlp6ffczD7559/lsHQ\ncqQwn190dLRq2rSp+vnnny1US2FKYT67Oz377LNq/fr1ZqyhKEhhPr/Tp0+rXr16qaysLJWcnKy8\nvb3VqVOnCjxvuWxR3Ll3RXZ2Nv/85z+Ne1cAjB8/nn79+rFt2zaaNWtG9erVWbRokYVrLXIU5vN7\n++23iY+PN/Zz29nZcfjwYUtWW1C4z06UX4X5/Fq1asVjjz2Gr68v1tbWjB07Fi8vrwLPW+GSAgoh\nhDCvcjnrSQghRPkhgUIIIUSBJFAIIYQokAQKIYQQBZJAISq9xYsX4+joaLHrJyYm0qBBA/7880+z\nXO+ll17ixRdfNMu1xP1BZj2JCs3auuC/dZ599ln++9//cvPmzULltCkL//73v4mKimL58uVmud7l\ny5dp0aIFYWFhJhc6ClFUEihEhXb16lXj75s3b2bs2LFcvnzZeF+1atUs2prIyMjAzc2Nb775hl69\nepntugMGDMDf35+QkBCzXVNUXtL1JCq0evXqGY+cbLR33ufo6Jin6ykkJAQfHx+WLFmCu7s7NWrU\nYPTo0WRmZjJnzhxjioOpU6fmulZGRgavvfYabm5uVK9enQ4dOrBz584C6/f999+TmprKww8/bLwv\nMzOT4OBgXFxcsLe3p1GjRkyfPr1I1/njjz8ICgrC2dkZR0dHOnfuzO+//258fODAgaxcubLob6gQ\nJpTLldlClLWoqCg2b97Mtm3biI2NZciQIcTGxuLm5sb333/P6dOnGTp0KF26dGHQoEEAjBo1isjI\nSFauXImrqytbt27l8cf/v727eUlljeMA/n2iQEE0WlhEhEQpbQqNqIVC0QsURJARRES2lWgTtIig\nP6BwEbR2k1REFG0iyo2EixyS2gRl75BBtEjblORzF/cmd47HuQPneBa372c3P5+Z78Ms/DnO2wBi\nsRiampp+mhOJROByuVQPa1teXsbOzg42NjZgs9nw8PCAi4uL3Of/lfP4+Ai32w2Px4PDw0NUVFQg\nFovh8/Mzt43W1lZcXl7i6ekJVVVVRdqL9G0U54kjRH/e5uamFELk1YPBoDSZTLnlhYUFaTQaZSqV\nytWGh4el1WqVmUwmV+vo6JBTU1NSSikTiYQsKSmR9/f3qm0PDg5Kv99fcE5DQ0NyfHxcVZuenpZd\nXV0/Ha8nZ25uTtpsNtVcf/Ty8iKFEDISiRQcQ6QXjyjoW6qtrVX9HWW1WmG321FaWqqqPT8/AwBO\nTk4gpcx7Js77+7vmuYd0Oo3KykpVzefzoaenB3a7Hb29vejv70dfXx+EELpy4vE43G63aq4/MpvN\nAP6+4oroV7FR0LdUVlamWhZC5H3xCiGQzWYBANlsFkIIKIqSt67RaCyYY7FYkE6nVTWn04nb21vs\n7+8jHA5jYmICzc3NODg40JXz9R4ILalUCgBQXl6uOY5IDzYKIh2cTieklEgmk/peRv+P+vp6RKPR\nvLrJZILX64XX64XP50N7ezuurq505TidTqyuriKTyeQ1ky93d3e5fKJfxaueiDR8/XK32+0YGxuD\nz+fD1tYWrq+voSgKlpaWsL29XXB9j8eDeDyuOgIIBAJYX1/H+fk5EokEQqEQLBYLampqdOX4/X68\nv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} ], "prompt_number": 7 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## ex33" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# number of states for each mode\n", "N0=15\n", "N1=15\n", "N2=15\n", "\n", "# define operators\n", "a0=tensor(destroy(N0),qeye(N1),qeye(N2))\n", "a1=tensor(qeye(N0),destroy(N1),qeye(N2))\n", "a2=tensor(qeye(N0),qeye(N1),destroy(N2))\n", "\n", "# number operators for each mode\n", "num0=a0.dag()*a0\n", "num1=a1.dag()*a1\n", "num2=a2.dag()*a2\n", "\n", "# initial state: coherent mode 0 & vacuum for modes #1 & #2\n", "alpha=sqrt(7)#initial coherent state param for mode 0\n", "psi0=tensor(coherent(N0,alpha),basis(N1,0),basis(N2,0))\n", "\n", "# trilinear Hamiltonian\n", "H=1.0j*(a0*a1.dag()*a2.dag()-a0.dag()*a1*a2)\n", "\n", "# run Monte-Carlo\n", "tlist = linspace(0,2.5,50)\n", "output = mcsolve_f90(H,psi0,tlist,[],[],ntraj=1, serial=True)\n", "#output=mcsolve(H,psi0,tlist,[],[],ntraj=1)\n", "\n", "# extrace mode 1 using ptrace\n", "mode1=[psi.ptrace(1) for psi in output.states]\n", "# get diagonal elements\n", "diags1=[k.diag() for k in mode1]\n", "# calculate num of particles in mode 1\n", "num1=[expect(num1,k) for k in output.states]\n", "# generate thermal state with same # of particles\n", "thermal=[thermal_dm(N1,k).diag() for k in num1]\n", "\n", "# plot results\n", "from mpl_toolkits.mplot3d import Axes3D\n", "from matplotlib import cm\n", "colors=['m', 'g','orange','b', 'y','pink']\n", "x=arange(N1)\n", "params = {'axes.labelsize': 14,'text.fontsize': 14,'legend.fontsize': 12,'xtick.labelsize': 14,'ytick.labelsize': 14}\n", "rcParams.update(params)\n", "\n", "fig = figure()\n", "\n", "ax = Axes3D(fig)\n", "for j in range(5):\n", " ax.bar(x, diags1[10*j], zs=tlist[10*j], zdir='y', color=colors[j], linewidth=1.0, alpha=0.6, align='center')\n", " ax.plot(x, thermal[10*j], zs=tlist[10*j], zdir='y', color='r', linewidth=3, alpha=1)\n", "ax.set_zlabel(r'Probability')\n", "ax.set_xlabel(r'Number State')\n", "ax.set_ylabel(r'Time')\n", "ax.set_zlim3d(0,1)\n", "show()" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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jfNUKsewYhoEgCFac2N5T0m0Ej91lms86rFWLz2/hs1MtkxlUVYUgCNixY4f1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89FmT0bdeMvUfI1hJJDiIcPR+YHAgj+AEJlJbb3HgdZRrwoATGrCSHbF2F9zgxvG1I03vlHIWVl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\nrkJggg==\n" } ], "prompt_number": 8 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## ex34" ] }, { "cell_type": "code", "collapsed": false, "input": [ "N0 = N1 = N2 = 6\n", "gamma0 = 0.1\n", "gamma1 = 0.4\n", "gamma2 = 0.1\n", "alpha = sqrt(2)\n", "tlist = linspace(0,4,200)\n", "ntraj = 500\n", "\n", "# define operators\n", "a0=tensor(destroy(N0),qeye(N1),qeye(N2))\n", "a1=tensor(qeye(N0),destroy(N1),qeye(N2))\n", "a2=tensor(qeye(N0),qeye(N1),destroy(N2))\n", "\n", "# number operators for each mode\n", "num0=a0.dag()*a0\n", "num1=a1.dag()*a1\n", "num2=a2.dag()*a2\n", "\n", "# dissipative operators for zero-temp. baths\n", "C0=sqrt(2.0*gamma0)*a0\n", "C1=sqrt(2.0*gamma1)*a1\n", "C2=sqrt(2.0*gamma2)*a2\n", "\n", "# initial state: coherent mode 0 & vacuum for modes #1 & #2\n", "psi0=tensor(coherent(N0,alpha),basis(N1,0),basis(N2,0))\n", "\n", "# trilinear Hamiltonian\n", "H=1j*(a0*a1.dag()*a2.dag()-a0.dag()*a1*a2)\n", "\n", "# run Monte-Carlo\n", "data = mcsolve_f90(H,psi0,tlist,[C0,C1,C2],[num0,num1,num2])\n", "\n", "# plot results\n", "fig = figure()\n", "ax = fig.add_subplot(111)\n", "cs=['b','r','g']\n", "for k in range(ntraj):\n", " if len(data.col_times[k])>0:\n", " colors=[cs[j] for j in data.col_which[k]]\n", " xdat=[k for x in range(len(data.col_times[k]))]\n", " ax.scatter(xdat,data.col_times[k],marker='o',c=colors)\n", "ax.set_xlim([-1,ntraj+1])\n", "ax.set_ylim([0,tlist[-1]])\n", "ax.set_xlabel('Trajectory',fontsize=14)\n", "ax.set_ylabel('Collpase Time',fontsize=14)\n", "ax.set_title('Blue = C0, Red = C1, Green= C2')\n", "show()" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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5LbWltAwsHsjY2FjWiahDtLA4U4oQsUt3x9qCOQWKDQDTSw3tTC94tAVdPFzy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\n/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d2rSckLDh48qKuHDtDbaK1lJal1EqB/P7UrVGCC2cxJEV7zJqgUVCakefN7EFnkMyhG\n42Tuuy/3cbht27aAufKuG5RWrVoxf/58QB+cMTExBAUFYTKZWLlyZb5vOm7cOGJiYm6ZIdOyZct8\nGZTbwcGDB9G0eETSvC8nDU2L8yUOZLh41JoqjrIOSlcszdzn5qIEKbgruFGCFOYvmJ/ttd977z3K\naBp/is6mOtJioVm9etgddn0n0FuQBwSlpMLocaNv6zluF/v378fmsiH+VC79hYhiEQHH3Xf/fdgr\n2ZHHvBNJRP4ql8vExHDQb4cxT4RR9+dME//zzz+jFlEz3QiTBYfLSkJYGNUSE3OURv3111+JjI3E\nHm5HrILBZKBVh1ZcunQpz229W9i5cyeRXvaBSyIMslrp3rbtHbnXjRs3GNijBzazGYfNxswpU7Is\n7vbt28fjkx5n+vTpObIRlKpUKovAVs9+PTl79iwuq5XLIhwW4UvRmbqTWiWhhqrYI+2ISbCLEKkq\ndGvbNgsPXHa4fv06XXt0xWQxYbaaeeiRh/51+vfs8OGHHxJdPBrVpdK6Y2vOnj3LqFHjUdVgVJEA\nLrU2LleBCx7feOMNjCYNkWEYjQMJCorKt3bKXTcooaGhvpX6qlWrKFOmDCkpKaxYsYKKFSvm64Zj\nx44lOjo6TwVl/fv3p91N9Qq3cnnduHGDDRs2sHbt2jx9oBlIT0+ndu1m2O09EFmH3d6DOnUys1/K\nVS2nZ05N032/tnI2zIruNshQ07M77VmoRwAeffhhnrwpOF6sSBGGjxiONPYbjKOEsJiwPLf5TuDU\nqVNYNasuM1tBL9wUm7B48eKA465evco93e/BbDWjOBXmPpuZVJCens6KFSsYP2YMS5YsydZt2LpB\nA+YbDOA1sh3tduY+kzM77C+//IISrGQKKE3VNeNvRRvSrHUzDDUN+op4mO5eMVUx0albJ0DffU+Z\nOJHS0dFUjo9n3Ztv5qe7CoQTJ05Qr15LXK4IKlWqx8GDBwE9E/Jhk8n3nZwRIVi9M0H/h0eNor2i\ncMkbXyuvqrmqZuaEBkkNMrXupwnmumbGPjQ2W8nfhl7J33379vHpp5/SrHZt+tpsfCHCEyYTJWNi\n8iw6l5KScsc0e86cOcPatWtZv359vkTwcsMTT0zHZquLyGEsYua0t09SRajgcOw1e7UAACAASURB\nVLB169Z8X/P48eM4Q5xIM0FqCuYIMx27dAw45qeffuLNN9/MlSLqX6lDOXHiBAB9+vThscceA/Tq\nV0VR8nyz0aNHExUVdUv3UAZefvllXC5XQFB+1qxZFC2aVT9bRLh69Sp1K1WinsNBN4eDcKczX/7J\nq1ev8sgjk2jevAsTJkwKkJANiwlDHvSb/GsK1girvmIeKcj9gqu4i127dnHixAkOHTrkc1+9+OKL\ntFUU3+BaLUK9ihV58sknsdTy00gfKBQrWSxPbX3vvfeIKxVHaHQoQ0cMzZGltSCYOmMqSoiCpZgF\ni2ahd9/e2R7n8Xh4//33mTVrFm+//bZvpTikTx9qqypzRGiiqnRr2zbLKvKnn34iNjSUJJeLSg4H\nTWvVyrUewuPx0LxNc93d0VWwV7VTrU61W8a4YhNjkRqSqZs+LbMQEmDGE09QT1XZL7pSYLSq3lLb\n/naQmppKfHx5TKYZiPyOwbCMkJAYLly4wNKlS2nrxwS8TYTEqKg70o7qiYns9JvsXxZhcK/8+d4B\n9u7diyPYgb2WHbWKSmTRSE6fPo3H46FxjRoMtVrZLcJTJhPxERG+NN9Tp05RxFsfk9GG+i5XgavI\nCwtHjhwhOjiYzg4HLRwOyhS7/SyylJQUL0vAZ3qNl0yiqNiYLEIzVaVtkyYFMo6LFy9GraFmftcT\nBbPV7Btrb7z+OmFefad4TWPMsOypfu66QSlZsiSvv/46ly9fJjQ01GdN9+7dS5EiedOyHjFiBC6X\ni61bt/Lnn3/6fvyzcCZOnEhSUpLv90uXLhEZGUnPnj35/vvveeedd3C5XDz//PNZH0SE559/ns52\nu29ArhKhQeXKeWrfrdCjb4/MrKzRghKqYNNsSIIgLkHCBbEI3du3p4jdToLDQbm4OE6cOMGNGzdo\nUrMmNRwOOjmdhDud7Nmzh9OnT6O5VaSSIFUEg83AkiVLbtmWHTt26BKu/QV5UFDKKgwdMfSW5+UH\n27dvZ8mSJXz++ec5HvPg2AfRYjRMDUxoxTT63teX3377jVC7ncved3BDhOKalq1Y199//83HH3/M\ntm3b8pT8cOPGDaZMm0Lrjq155NFHcl09pqSkcOLECTp06YAx3oiU9ssq6icULaEvSqrExwdQkTx3\nC9fb7eLo0aNoWiz+ZJludwM+++wzrl27Ru0KFWipaYy02QhTlELP/MtAmwYNWOz33A9YLDz2yCMF\nutavv/7Kiy++yJIlSwIodS5cuMCgnj2pUqIEnVu0CHDFZLjErnrv7xGhqtNZIOaCwkyc6dqqFXP9\nJH2HWyw8Mub2kmXeeOMNTKaiiCz0C553pmqVGixbtqzAcdMVK1agVdQyDcpYwa7ZfZT6LrudA94b\nXhIhTtOyhArgXzAoixcvxmw243a7qVSpks+azp8/n6ZNm+bpRgaDAaPR6Es7zviZ7kdMN3DgQOLj\nAyvLDx48SKNGjbDb7URHR+da2Njn3nuZ7TdIfhKhRHh4ntp3KwTUjWh2np/3PA899BASJb40UkMF\nAxWMRv7xDpDpJhPtGjcG9Anu448/Zv369Zw6dQqADz74gBibjWAR6olQTASbaiIkMoR6TeoFCAj5\n47HHH8PQ2I96ZLQQGh1aKM+ZV/z+++/YHDbk0cxMFjVET31OcDgCfMTVXa7bZhfOD/773//qdPwh\nKopDoWiJohjsBqSYYKxhRHErfPzxxwDUr1iR9/zaOt5kYuLDDxd6mzweD9u3b2ft2rVYrS50Ti8Q\nuYGmlfDtpK9fv87KlSuZP39+ntU8C4LvvvuOcKeTfqpKB02jVNGiOa7E09PT7wgnXb9u3UhSVVaJ\n0N9mo1b58vkSXzt8+DCJiZUxGIwUKVK0UJQ165Uvzxd+38MKEfp06nRb11ywYAFWazdEwhAZhkh/\nRJQsqpM348CBA3z22Wc5vhcfaWUtC9JeT4iYOn0qoFfWh/jJGyNCJ5cr21jjv5I2vHv3bt55552A\nVeHGjRvvqHpefiAiuK1WEkT4w+ubHGy10q9Ll0K9j39l+7jx45Akv9TKqsKsbGIl/rh8+TLLli3j\n+eefZ8igQZQR4SXvSr6oRZCmelaVsaWRqGJR2Q7kp59+Gmt1awDFSG6usi1btjBgyABGjx2db6qQ\nnHDw4EGc0c7MNkwTXCVcfP7555SPj2eq2cwREZ41GikRGVmo9SC54erVq7hCXDrz8jTdFam4FL74\n4gteeOEF5s+f74tZAGzatIlwVWW6CA+aTEQHB99yoOcXaWlpdGvbllKaRguXC8XiRFHKIzIFTatP\n+/b3/iuB5RMnTrB06VJWrlyZY5LCS4tewqpYMVlMVK1dtVClnlNTU5kyaRIt6tZlxJAh+ap6T0tL\nIyamJAbDIm8izadoWmi2Mcz8oFeXLrQ0GLgmwjkRavmJ7RUU+/btQ1HC9ToceRqjsQk1azbO8XiP\nx8PIwYOJUVUaut2EO505xkDOnj3LhIkT6D2gN2vXrvV9R+np6ZSIjPSJA+4TXQTt6NGjWa7xf3oo\n2UBE+FR01UW7CBYRyhcvfkfSLjOwcuVKtBKansI4TTCUNVDLaOSG9yXOMxppXqeO7/hLly5RoUQJ\nOqoqI202NIuFEO9Oar8ITpcETtDFXdlSnJw7d46o2Cis1a0YmhhQg9UcOX3eeOMNbG4bDk0wGwSX\n0cimTZtu+9lv3LhBZGykXmT2qF4PEBIRwqVLlzh58iQdmjYlPiyMVvXrZ/sR3yn88MMPWQydu5Q7\n16Dnrl27mPDQQ0ydMiVf2irp6eksWbyYEYMG8fxzz+W4ul6zZg11NY1k73fxughxkZE88cRkVq5c\neceCy7eLL7/8Us+sG627C80NzTRo1qDA1/N4PAHP+u4771BEVWnidhOuKDz95JN5vtbJkydRlEj/\nBThud+vbchEePnyYIopCExGsIphFqBAfz19//cWaNWtYt25dgale1q1bj8sVjioGImwK7Ro3znFc\nfPzxx5TTNP7xPti7IpTKppj7Vjh48CAJUVG4rVbcisJbObBb/ysG5fz586xZs4bZs2czffr0gJ//\nBYh3Ys7InHhchMcnTgw4ZvPmzYwYNIgJ48b5kgxyQnp6Ojt37uTTTz/NkV03PT2dXv16obgVnDFO\nipYoSsfmzSmuadR0uYgLD+fIkSO+45999ll6+m1D3xYhyGhkpAg/i2C3ic84ySTdhfTjjz9me+9z\n584xe/ZsJj42MVd3UnyZeBS7sMjrR10hQojdXigcSEeOHKFSjUrYNTtlKpXhwIEDbN68mdKVShMV\nF8XIMSPz5cIoDPz99996OnZGAsV4we6yF5pR27VrF63r16d2mTLUKl+e+qrKCyK0VRRaN2qULaXL\nk08+yaN+fvmzIgTlksxy6dIlTpw4ccckbG+FAwcOMHXqVFq3bo25vjkg6GtTbQW65ooVq9C0EIxG\nM3XrNuf48eME+Qm0nRIhUlU5dOhQnq535coVrFYHmXIEV9A0nSusoFiwYAHDvAJlyd4dis1sJjg8\nGEdlB46yOtVLQZQ2PR4PLevXZ4DNxi4RnjYaKRYW5lvw/vjjj7z++uts376dBQsWMNxu5yMR2oiD\n9qJhNBjyvIu9evUq40eOpH6FCvTq2JF9+/blGme66wZlx44dBAcHExUVhclkonjx4litVhwOBxUq\nVCi0xtwORIRWisJhER4UoYjBQJPq1X0f2JrXXqOoqjLf6yePDg7OMa04JSWFpNZJOKIcuEu5CY0M\nzXFi93g87N69m02bNnH16lU8Hg/79+9n+/btWYLGj02YwAy/JdVREWKCgylXvDhBZjMmiwFLtFkn\n7Suh0rVH19t2hYTHhFPU4reME6GC1XpHlCb37NmD6lb1upoRutBXYSULJCcnM2rIEMKdTuLCwnIV\nWFr26jIUt14fpAarzJqTvVhadjh27BjDBgygR9u2rF61KqD/Dx8+TKimsVx0gkuH6BTwGYuYkpqW\n7YS2adMmSmoap0WPrc0wmUiqXTvLcd9++y31GtTFaDFiD7JTokyJQne/3QpffvklqlvF2MCIqYRJ\nL7rN0J3pK0THRd/6Ijdh586dqGoUOvloChbLGGrXbkqMqgZ8l63c7nzpo8yfvxBVjUFVB6Fp5ejf\n/9ZsC7lh+fLltPdr0w8iWBQTxlaZ/G2WOpYC1YqdPXsWt9UakNXW3OVi48aNrFm9mnBVpbvTSQlN\no1vHjoRbrSgShMgKRBZhMORNRA6gU4sWdLfb+Vz0OG5cRESukhN33aA0aNCAUaNG4fF4cDgcHD16\nlNOnT9OkSRPWrFlTaI25HYgIYx94gFBVpbTBwMeiiweFaho//PAD5YsV479+L3OE2czMHAL8L7/8\nsi7g5K15MLQzULOBzirr8XjYt28fX375Jf/88w9jhw/HZbUSrapUK13aF3DPDp9++imxqsp3IpwX\nobvdzpA+ffB4PPzxxx+cP3+eVatWMf7h8SxfvrxQVqhjHxqLJrpW/FUR2olgsQiNGzcqdKbWqVOn\nBpInjtGliAsDE8aMoaWicFyEb0Uopqq+wHp2+Pnnn/nggw+yrQLPCb///jtRQUFMNRp5TYSyqsqz\nc+b4/j9nzhzGmM2ZiwEJLFCr7XJlS3r5888/065lSxSTiQi7nUoJCVl2yJ9++ilumw2LU3Qtm6mC\nKclErQa18tz+wkCthrWQLpnFo1JEsERacFRzoLoLllI9d+5cLJaxfrbjIhaLSoTbzSbvHw+JEKoo\n2Rbl/fDDD8ycMYM5c+ZkiZHs2rWLxYsXs3nz5ttefF2+fJkKJUrQy2ZjlgjFVZWouCidgijjm75H\n6NT91kH6H374gbVr1/pizJcuXUK1WLgkmVltNZxOPvroI5w2Gz9IYDZWRFgiutTCF4i1NGLRiC0R\nd8u6mIsXL6JZLD73aobhulm24sKFC+zatYvff//97hsUl8vlK0R0u92+bek333xDYmJioTXmdpDR\nKYmRkXzn15mPGgw88fjjhNrtfO/398lel1h2KXtjHxqLNJcsWVSpqal0a9uWeE2jlstFqNNJZUXh\ngvcDmWgy0ckv7Tk7vLpsGZFuNw6bjb5duuQarE5OTmb//v0cO3aswIMlPT2dRnVqEyuCZhaMsYK0\nF4zxQkhYUKGmXM6dOzcwWWBQwVa02aFCsWLs9Xt/z4nw4NDCTZWeO3cu9/tJ6H4vQlE/dubnn3+e\n+6xWXzFmRe9u+DsRZniTD24e8Dt37iRU0xhms3GP3U6x8PBsA9uNq1allwjGun7f3QRBceS9zqsw\nULpy6UCurLZC46TGrFq1Ksesw1th9erVaFoTMmmNthERUYL//ve/RLjdlHA4cNvtvLZqVZZzv/76\na0I1jQeMRtqbTIS7XFmKmlevXk2tRrVo2LxhviQJLl68yJDevakcH0+npCSOHj3KpUuXeObpp5nw\n0ENs3ryZsePHopRXkMGCI0YIMhto3axprq7c1StXEq4o3OvdcWTUf4wYNIi6qspiEXp5dYWOHz9O\nqNfNlvHTweUiMbEGIi8hZg3poc9BxgpG2nXOXZjunXfewSLiS9v3iFDP6QxYfG3dupUwh4NqLhch\ndvvdNyihoaG+YsRSpUr5Gnfo0KF8FTbeSWR0Suno6IC6grEmE506dkR1m6liFnaK8JYImgiqxYLF\naKRjUlJAlsvatWvRims6xfdUwdzITPO2zVm6dCmNVdUXdG8iwlN+9zomQrQ7kPNq5YoVxBYpQpCi\nMLBHjzynX544cYLiicVxRDtQghS69+pe4B2Lzkr6FGLLTHGWyYJBE956660CXTM7nD17lsiikbr2\ndnNBLaIW2g62QaVKrPfr6+FmM5MnTSqUa2dgzpw5jPLuQBA9rhXl9z5Pnz5N0SJFeMRkYokI8YpC\nfGSkL4Bbv0qVLP71pFq1WOW/M7ZYmPToo1nuXT0xkWkiaOF+76ibkFiucBZs6enpnDlz5pYLiCnT\npqCWUHXi0iGCGpapellQJCcnU6dOMxyOeqjqfahqqE++9tq1a/z00085Zpm1qlePMSIUEaGBCEEi\nNPZzF65YsUIXW+spSBdBDVKzJZW8GR6Ph2a1azPYZmO3ZMY0bnYNXb9+nVbtWqF4PR47REgym3MU\nybpx4wZOm41DfjuO4qrKzp07mTFlCuFOJxGKQse2bbl8+bIvG2ul9/hvRQhVVRYseBGLJRip6LdA\nu4lk8mYcOnQIVQ3FJknUFIXVIgwwGKicmOibd9LS0gh3ufjUe7/fRe6+QWnRooVvYhg6dCjVq1dn\n5cqVJCUlUTsbX/C/gYxOWbRwIYmqymoRZhkMhDudDBw0EEkSLI0EV7CguIRoEX4TPV13gM3GgO6Z\nuhkej4ehI4ZiVa2oRVRKV9RdWY+MGxdgQMqIUF90WVtET/+N9DOwW7duJUZV+VaEv0ToYrczrH//\nPD1P01ZNMTUzZQboE9TbkgvYsGEDBodfcd9UwRgkBeJiyw1nzpxh2vRpjBk3pkB0Ejlh27ZthKoq\nD5nN9LXZiIuIKDChXk7I0GR/SYT/iFBbVZl0U7HfyZMnGTdyJPfdey/Tpk6lmKpy1LtjGWOx0PGm\nHWqVEiV8rMhfidDAJFSqWD7Lan/mlCnUURQaWQS7UzDECKpbvaWQ2dmzZ5k2ZQpjhg/P0QW4e/du\nYkNDCbbZCFazl0nweDzs3LmTjRs3MnzUcEKjQ4kqHsWSpbcutM0LUlJSePvtt32CWnlF7TJlcIv4\nFol/iBBsMvmuUbl2ZZ1gNWPSbSP0HpA9s4M/Nm3ahMts9un8IEJTlyvbPpw1axa9/Y47J4LNaMx2\nYj916hRhN+042rtcDOrfn+qqygHvs5RQVV/W1cGDB0mMjsZptRKkqrzrzdgcNWoUxjhT5pgdJWhu\nLcdneumll1CU+xFJwyjP4pA2WMUQUGx65swZgm+qT7nrBiVDZQ30gpnWrVvjdDqpXr36HS2+yg/8\nO+WN11+nZ7t2DOnTh8OHD7NkyRLURNW38jMXC9xZHBEhPiyMlJQU5s2bT//+w5g//wX++OMPfv31\nV1+q4+rVq6npTec7KXp6ckURSonQSHQjFeknbTvxkUcCgvA/i1A8NG8FiOFFwwOpXloIo0aPKlDf\nnD17lkOHDmHTLBhrCTJUMNQXLIo5T2nVr722hqZNO9GxY69/RZr1+PHjHDx4kD179vDUU08xf/78\ngGKv7HRVPB4Phw4d4uuvv84XH9O+ffvo3KIFTatV49k5c3LdFc6cOZOJftlbf4kQogUO+EdGj6a1\norBWBLtVkOaCob4BVxFXgFHJ4BRLjIigRGQkjzz8MGfOnMm1rX///TeJ0dHcb7Ew17sSXnoT51py\ncjIxISG87W3jTu8K2D8hJT09nV6dOpGoaTR3uwlzONiyZUuu/Xbp0iX27dtXoIyn/KBBjRqE+I0h\nREhSFF9MoFq9avruxG+c9B+c+6Jt0YIFRCoKdu8OAtGF46o6ndkWR/bp04f2N3kirCI8+eQsRo0a\nF5BIcHP9xzfe/q5Ttixb/K6xXIS+99zjO8/j8XD+/PmAtOpLly5RPLE41opWpJm+W1zw4oJsn+mv\nv/6iXatWmE21yWRh2I/DEVgHl5aWRoTb7WvLyX/DoPz/gNw6JS0tjfad26OGqrjiXDjdTrrabL6A\n6hsi1Clfntatu6AoLRBZiKI0p3XrLgGrEI/Hw/D77iPYZiPKbidShJIibBSdQr2vCG0aNfId/8wz\nz9DHbzWwUYSqeYw5NWreCGNzb4D7CUEtqWahZfnjjz/o3KIFpaKi6NC0aZaMII/Hw/hRo3BZrcSo\nKqViY4mKCceqmYmKCc+TcVi0aDGqWhKRdYgsQNNC8yTdXBjweDwMHjYYu8uOM9pJdPHoLCv78+fP\nU71udewuOxa7hSEPDCEtLY37evYkRlWp7nJRLDQ0X6vivOKVV16huab5ONo+FL32yR/JyckMGzAA\no90QMPEZGxoZPfb2mKUXLlxID7/V8D4RYm8qpD169CjFNS1wQna7A5RE161bRy1N44YI/4hQw7tY\nUsxmRg4enMWofvLJJ4Q6HFRwuQiy23klD3RBBcF//vMfEhQFt3fHiOjMxWGK4ksDf/fdd1FDVKSj\nIK31Xd2ePXuyvd6ry5bRoFIlbAYDv4gwXIS6oqfUd7NaqV+lSrYx1eeff54QEUaJsFiERBFEVCyW\nPog8jarGM3/+i77jM3YcmsVCsKaxYcMG2jVqxKt+72Ca0ZitImUGzp8/T7kq5dAiNKyalZjiMTm6\nHi9cuEBCVBQjTCZiRcUgDTEYxqOq0SxfntUDsW3bNsKdTiq7XAT/GzGUDBw9epSNGzeycePGu1qs\nlhdkdEpqaiqffPIJGzZsCFjheTweDh48yI4dOzhz5gw1ypWjicNBH00jzOHgzTffRFWLIpLsfec3\nUNWYbIks//jjD/bs2UOEy8UA7+CziV5TkhEwvHjxIqdPn6Zs8eJ0UVXGWCyEqmqeye9+/fVXYuJi\ncBV3oRZR6dClQ8DqJTk5mQrx8TxhMnFAhHFGIyWiogIIFtevX08lTeNv0YNzk/2oYPKK+PjKiHzl\nNx89wfjxWWMAdwLr169HK6bpFPnTBGOrrBru3Xp1w1rbS9I5UVDjVIYNG0YNTfPxRL1sMFC/kDjd\n/JGcnEyz2rWp7XDQ2+EgVNNy5KJKKJ8QSPPeShg0dNBt3f+ZZ55htF8SwSkRimgab775JvUb1Cep\neRJffPEFLpvNV6N1TnTtGP/stzlz5jDeGzsa7l0YpYpwUYQ6qsrLfpXi169fJ9Th4HO/3b3/BF+Y\nmDt3LmMtFr4QIdzrCbCJsOIm1+/HH39Mx24dubfPvTm6CF9dtoySqsprIoT67UoWi5BgNtO3d+8A\nMlh/nDlzhqjgYBqIHscxmAQxNPUbEz9m2Ql4PB4uXrzoM8Y7duwgVFWZaDAwxmQiwuUKqFG7Gf3u\n64e1jve7niIolRQmTc4+Zrh8+XI6excN10UXm7OaTLmymFy8eJFvv/2WU6dO3X2Dcu7cOTp27IjB\nYMBkMmEymTAYDHTo0OFf0XPODiLCjRs3aFqrFlUdDtq4XEQFBWVLSgj6wFi/fj3Lly/nt99+Y+/e\nvTidZf22ix6czrK5akB/9dVXxISEoJrNRAYH8+WXX3L+/Hlq1WqKxaJhNtt56KFHWbRoEXPnzs2x\nLTnh7NmzvPrqq7z77rtZVokHDhyglMPBKRGqihArgipCt/btfcc+PnEi0/1WRcdFiA4Kylcb4uIq\nIbLdb/BM5qGHJuTrGgXFlClTAun9/ViCM1A0oWig0FcboWq1KkzyUuMjwp8ihDocOdzl9pCSksL7\n77/PypUrc9WhmDV7FmpxFRkiSB+9aLWgMabU1FSeffpp2jdrhtti4S3RmRbaKgp1a9RArKL3Wy3B\nYDHw+KOPEq4odHY6iVVVJk8IfH9btmwhwavXU10kgIV4iQj39ejhO/aXX34h9qYdTwu32xdk94fH\n4+Gdd95h0uOP88orr+Q7o3DDhg1U0jQui57y/owI5YrljY37ZjSqXJlNose6Soqw0GtQPhO9tCA3\nqYsMHr4enToRHROGIdGAmPv6dcFFzGb7LTMxDx48yORJk5g+bdotKZAq1aykC5FlfNddhLads9fG\nWbJkCf0Uhd0ijBM989BmNpOens7PP/9Mp26dqNmgJtNmTMv2Hdx1g3LPPfdQvnx5vvrqK1JSUkhJ\nSeGrr76iQoUK3OPnB/w3ISK88MILtPOjiV8qQuPq1fN0fnJyMvHxFTCbH0dkH2bzY8THV7hlpXfG\nSiTjY+rYsRdW63B0fqG/0LRyBcqkOnbsGCUiI6nuclFc0+japk3Ax3D06FFCLRY6i/Codwfyjwg1\nFMWnfNi7d29qiPhy0heL0LBKlXy1Y+HCRahqKUTeQmRhri6v48eP88orr/D666/nuNrLD9auXYsW\np+kMz9P0eqAqtQLb36h5I4ytjb5EA3sFO3369qGypnHR+9zPGY00qVHjttvj8Xh46623mPzEE6xa\ntYq0tDSWr1iOM9iJyWwiqU1SjjGp9PR0Zs6aSXzZeMpWKcu7775b4Hb07tyZJFVlhQjNLBYi7XbK\nxsQwbvhwXS++u99EVF+oUr0KP/74I+vWrctRzmHWtGk6FZDR6CNY9YjQx2bjwREjqF2+PFavZkmQ\n3c4O7zG/eXco2a22J44bR3lNY5roMgadWrTIV6aix+NhWP/+xKgq9dxuooKCcnRn3QpNq1XzxZEO\ni07EahQhJiQkINX4o48+IjouGs2l0a5zO44dO0apCqVwRDvQwjXdvdZFEIvidQMfwmjsSOfO2Wd9\nFRR9B/bN8w7l5MmTBKsqQaJTT00SQTWZqF+lCiabEUOSAemru82HPDAky/l33aAoipKt9vvXX3/9\nP5U2PH70aOb4rZwygu15xalTp2jbtjvFilWgbdvuuRYp3owrV67Qq1MnRByIHPFbvcxm7Nj8s9e2\nrFePp70B32QRmqoqL7/8su//p0+fxmU0EuIdIBk3nCvC2JEjOXXqFHYRmoru863v3cEUhMdr1arV\nNG7ckfbte+Y4Ie3evZswh4O+qkoLh4NKiYkFVkXMcO2lp6fTo28P1BAVV7yLsOiwLIwFR44cITQy\nFFcZF45iDmrWq8nVq1cZPXQoRex2SjudJEZHF4pL5qERI6ikaUwRoZ6mkdSggT7BDNcz8aw1rbTt\ndGcUFjNw6tQpgm02rvm5bSo4HL7xaXFZAutI2gglypTI07UvXbrEl19+SWxoKC2cTmo5ndQoW5aS\n0dHMMxi4KjpDgNtuJ0RRqOV2E2K38+K8eaSnp7NlyxbefPNNjh8/zt9//43DauWct50pIpR25L3a\n2x/ff/89X3zxRYF4+a5du0bXNm2wGI24Rc/EnCNCiKoydNhQHhj5gC/A75Pu7a8Xl1prWIkoHoGl\nrsU3sZvCTJgqmfTdQ5gTMTmpUaNhoSyg/JERQ3FEOdDCNOo3rZ+rXlDT1uCOWQAAIABJREFUGjV8\nqccnRU+v7i2CvXRgXZPFZsmyk7rrBiU2Npbvvvsuy9+/++47YmNjC60xtwMRYd26dVTUNM56B9oo\ni4Ue7dvflfvf37cv99rtVBInIq965/d0FKWDTz45r/hw40ackslNhne7P25UZpbX3r17qeB0Utlr\nRDIGbZLNxsKFC1m3bh3FDXo/7BKdOLOkCEuWLOHChQsMHziQhpUqMaRPn0LJ1GlcrZqv3iJjZTtr\n5sx8XWP//v2Uj4vDaDCQEBXF119/7cvW2rFjR45ZR2fOnGHwwIG0btCAqZMyhdFOnDjBwYMHC0V8\n7PTp07htNv72PuN1EYItFowN/JgBHs49rbMwcPz4cSIUJSDdtbbL5YvdNGzaEIkU3cgNFEQVpk6d\nmq97/P3337z//vts2rSJXbt2Ee4Xp8kI6q9bt47t27dz8uRJ0tLS6Ni8OZUcDro6nYRqGuvWrSNS\nUXyJL2ki1Hc4slRsg14/MXPmTJ555pl8LeLygnHDh9PNbueGCBtEiDWZaFC9OpGxkXoRbktBDVeZ\nN38e8+fPx1bHFlD3IXYJrJTvIARFBGFz2rCqVrr36p5nV15+XX6pqal89913fP/997fc2TWpWpWP\nJNNN2UuEV0VQEyXg+7Tarf++QVm2bBlNmzYNYGI9efIkzZo1Y9myZYXWmNuBiODxeHhs/HgUsxm3\n1UrDatVuGeNZsWIFRaKKoLk1evfvXWDdhxJhYfwkeqaNSxRs0gSLpSI1ajTOdWVxM/7++2+KaBpN\nRK/m94jOF1VHVXn11Vd9x126dIlQh4PXRIgToZYIUSK0btSIlJQUDh48iF3EV2B11LtD+e9//0u9\nypW532plqwgPWq1ULVUqwLWXkpLC3DlzGNi9O0/NnJmn9t+sEf+cCKMfeCDbY9PT0zl+/HiAIbt+\n/TqxoaGs9E4+G0QIdzoDcuizg8fjoVvbtrRSFFaI0M1up2mtWoXO4HvkyBGKa1oA1UqComArY8tW\nuOtOwePx0KRmTQZZrXwpwiSzmVJFi/qMaHJyMjXr1sRgN2BUjQy8L+dMolvh4sWLJERHYxe9/gPR\nYxlhVivNa9emV4cO7Ny5k7Vr11JP03w8VR+JUDI6mqqlSjHJZGKjCGEiuEQnxXzHT5Njx44daG4N\nU30TlpoWQiJCCpW/rE7Zsnzp986Wi1C7cmXMpf1IL0cKzmAnq1atQiujZb7PYYLFKpiqeeu3Jgvm\nEkKtGtU4ffp0nuPHR44coVT5UhiMBkIiQvjPf/7D8ldf5YEBA5g9a1a+djf79u3jlVdeYcuWLT7D\nsH37dtx2O/Gi1zo9IkJL0RMwwsyCqb5eJKvGqYwdPzbLNe+6QalQoQIOhwOTyUSxYsUoVqwYJpPJ\nRw6Z8ZNfffnChH+nXL16lXPnzt0ySPbZZ5/p9NxD9YCvvYLdl3mzauVKioeGUkTTGNw7e0Nz/fp1\nHn3sUYqHh+IU8floT4tQ32xm0H335VuNbc+ePVRyufhd9BqXBO9A7NSyZZZVyqeffkqYt/LWpSi8\n8MILAcd07NAOVYRKJp0ZoFnTxhw6dIg4v1RXjwjlnE5fdozH46FL69a0UhSWidBJUWjVsOEtV0jD\n+venh9cVc1yEUmr2lPpnz56lTsWKRCoKLquV4ffdR3p6Ot9//z2lnM6AlXBdtztbbix//Pbbb4Qr\nio+9IE1018qtCgLzi9TUVMrFxfGkycTvIiw1GIgJCaF8lfJopTXste2obrVQpAFuhYsXL/LAgAHU\nLlOG3p06+QLKaWlp/Pzzz5w4caJQ9FUWLVpEV0VhjnfRMlKESBEiTSbWiO4+ClVVHnzwQcb5MQxc\nFEGzWvnjjz9o07AhmgjveP+3x3tOhtGo26Quck/mKtrU0MSIB0fcdtsz0K1NG+Z4XcceEYZYrYSE\nhSBV/FbujwpWxcr169cpX7U8ankVU0MTarBK6agoilsEh0NQFaG0RejVoUPAPa5evcpDI0bQsFIl\n+nbpErDwTk9Pp1hCMV3mYYogAwTNaqa6ovCiCF3tdupXqZInVu4ly5agBquoNVUcMQ76DOhDamoq\nUcHBbBRhgQgVRHCLEGS1Mkx0z4bTLBSNj2b+C/OzHceFaVDMkgd07do1L4eJwWDI03F3Gqqqiqqq\nvt9/++032bZtmzgcDunQoYPY7XYREflo00dyrfI1kWj9uBtNbsiHGz6Ubdu2yeMjRsiGa9ckRkSG\nv/uuPGyzyUvLl/uu6fF4pFX7VrJ391fS5opHhopITxH5QETO2O3yT0yMzJs/XywWS7ZtTE5Olg8/\n/FAuX74sTZs2leLFi8vevXulfef2cuGff+SyiOwRkc9EpKfNJi+vXClGozHgGklJSfL7uXNy+vRp\niYiIEJvNFvD/9z/4UNatWyfbt2+XR2rVkr59+8rPP/8sqSDpImIUEY+IpHg8YjKZRETkl19+ka+/\n+EJ+u35dbCIy8Pp1Kb13rxw4cECqVKmSY58/t2iRDPr7bwnatEksJpNMmTRJunTpkuW40YMHS+3D\nh+Xr1FS5LCIt162TlQ0aSLt27eSvlBQ5LSKRInJJRH5NSZHw8PAc7ykikpqaKlaDQTJ62SgiqtEo\nKSkpuZ6XX5jNZtn0xRdyf69e8uL330tifLz8Z+1aSUxMlHfeeUcuXLggzZo1k7Jly2Z7PiBLFy+W\nN5YuFbuiyMMzZkjz5s0L1Ba32y0vr1wZ8Lfz589L+6ZN5fdjx+S6xyOt27SRlevXi9mcpyGeLa5d\nuyZRaWnyqIjUFpEvReSGiLyeni5tvMdcuXZNvj56VPZarTI6LU2Ki8izJpPUqVpVoqOjZdHq1dKw\nfHnpcu2aiIhUE5FqFot8//33UqxYMbl48aJIfOY904PS5dyFc1nasnHjRtmzZ4/ExcVJv379fN/r\nrTDnxRelaZ068mVyslwEOaFpcuniOZGrIrJXRP1exHRcxOmwy4kTJ2T39t3y2muvydmzZ6XpnKay\ndfNm+eTZZ+WVK9clVUTGK4q07d7dd31AenbsKMr27TL9xg3Z9sMP0mTHDtn300/idDrlzJkzcubs\nGaEf+gnRIqkpafL/qHvv6KjKtX342nvaLlPSe0IKoSSBAFICofeuAiIoVQEFpCodaSpFkF70qIgF\njgdEUQERBSmiIiqgooj0I1WKKCEJycz1/fHsTGbIBALyen7fvVbWYjG7Pnvvp9z3VT5FIYIADMrL\nQ63Dh7Fjx46bvg/5+fkYOmwo8h/NB0IBFADrXl2HTZs24XpuLtob2w0BUF/TcLKwEGYABwB0LwQ+\n91gwbOgwAMCVK1cw4rHHsHvXLsSXK1emdixz3LWhqQyxfft2dujQgbGxsZQk6ZayH8eOHSthGSxJ\nEj/++OMS25Z2K7t27RLFYl1nY7udtdPTvYKMPXr0oFzVJwfeHayQUYGjR47ksz4z5RuthI8dO8b6\nNWpQ0kC7Vlzr+AVgB4CtW7bkxx9/zBZ16rBuWhpnPfus38wgJyeHWVWqsIHBXwi327llyxYGRwQT\nXUDpXlAzgZkSGKoofPkG9vPfCY/Hw3ZNmvA+g73d9YYU0YEDB5jkk9rxAKzicHD37t1lOr6vo2Wg\nuDE1Ng/g4H4CefLc5MlM1HX2V1VW0HU+OXhwwGO43W5vXcTtdrNeZiYHGCmg0WYz0xIT/dJ0165d\n44RRo9ihUSMOHziQk6dOZmqVVGbWziwBd7169Spfeuklzpo1666qAixesIBpus5NEAZb4ap6V22R\nez/wAJ+wWOgBeA0CxLFg3jy/bfLz8/ndd9/xwIEDZVrB/PTTTwzTNL4DIZTZUVGY6HJxk8/zmw3w\n8T59uGjePKoWC3WLhbXT072rppycHDoVxaum+zvAaFXl2rVrefDgQU6aOolaiiZUIR4DtUithE3t\n2AljqcfolBpK1MvrbNW+ld/3tH//fk4cP55Tp0wJmC67ePEily5dKnxNUuyEBUQvULOAj0BArudK\nEqODg9muUSPGBgezXtWq3LdvHwsKCjhi0CCG6jojnU7Oeu45v7a7cOECnVarV36JABsbKsKkyGJY\nVSsxDF7fd9VYSXth1wHUgG+Mc+fO0ebwqe9MAZ1VnVy9ejVD7XZvWu8sQJfFwgGGiGlRbVWWJG+b\ntahXj4/abNwPcJEk/fMpr7sVGzdu5IQJE/jOO+9Q0zS+HkBd1DeKBpTNmzfz3Llz3r9AaaTSGqV2\n5cr8j0/neL+icN68eVz+yiuMU1UGW0BzKohawohp8+bNnDljBnv5PJAPAdZITSUpxN8qxMVxiCxT\ns4OOcPBtn+N3tlo5cuRIhhkkqm0QNqJTxo/3XtP8+fN5r6J4O+3/AExPSqIzwVn8wowA9Sid7733\n3t9o8cCRm5vLqRMnsmubNnx67Fi/HG5BQQFrpaVxiNXKLwGOMZuZkZT0twrb169f5/PPz+EDD/Rh\nRrlEzjZSEIUA26kq577wgnfbnTt3cunSpaXKpC+eP5+61UqLLLNFvXq8cOECL1++zP49erBOpUrs\n0akTz5w5493e4/GwTaNG7KwofBfgPWaZcrgkkFDdQC1Y486dO0mKulRieDhbmkwcKsuMUNW/LYxY\nFDVTU/28ymcBfKJ/f+/vV65c4b59+0rk5f/4448SOfYVy5ezZZ067Ni4MZcuXcqXXnqJlaKj+bXP\n8V8E+Gj37t59zp49y5TKKQL+GqazeZvmZUqzbNu2jVnp6awQHc0h/frx1ZdfZpKmcTXAl4301Vdf\nfUVSvDuBfDfeeuMNhmsaOzidjFJVJoSEMNVuZ5ymsUOzZhw2chiDI4MZERfBxUsW0+PxeAvYf/zx\nBy2KhRhVLGpqjy5Gte3cuZNhmsbxksShJhOjXK6AqsjtO7Uv1sZLB5EA6jL8Ur8RsswnTSYegyho\nR7lctwSsXL58mXaLxeuL4wFYx+Hwm/QuXrKYWohGrY5GLVZjQlgo+1ut3AtwniQxLjT0lrVCt9vN\n+OR4Sm0lUc95RKgCHD9+nJs2bWKYrrOey8VwVeUjvXqxgkFoJsD5EITXrm3acNigQbRbLH4D2j8y\noNjt9jL9ORyOOzqx3W4v84BSGlTVN0prlHJhYTzs03jPAhzz1FOsHBfHXRD53iUAsyWJgwYOJCkK\n4xXj4/mAqnK42cxwH4b7d999x3SHgwUA0yyguQKomsFOMpglS6xRqRLHjBrF8T7Euh8Alo+M5IUL\nF3j8+HGOeeopPuNzTUcgCIc2u634wxktBri75QFflvj999/57rvvcvXq1ezVpQtrpqby4fvu8+ug\nbzc8Hg/btXuAqtqSwMu02ZrTZbGwgcvFynY7W2Rnl3mw+vTTT1lO03gEgsk92GLh/QFqS75x7Ngx\nRqmqdwaZZIM/Y70F+NhgIS9eq1o1tkGxx8lnACvE3B35/bppadzo88wnSxKHDxK1gk2bNtEeZKcz\n3knFrnDOC3O4YMEC1qhYkbrFQsVs5vCBA+nxePivZcuYqml8H+DDECq8vRWFESaTl8xZCFH7mvHs\nsywsLOSGDRuYWTOT5vpmb3FZraxy1vOz7uhe/r1qFds3aMBOLVp4B+PSYtXKlYx0uWiWZdZIT2eb\nRo04zFhJ5UOQMWdNn+7dfsWKFdScGmWTzKwGWcKPPUgtLpRPAV1pxUTKVnXr8g2fdp0oywFtDSpX\nq1wMp34aRAWhx3XZ2O8UQAf8/W1aGgZYt4reXbuyqabxLYgaTfUKFUoAWbZt28YJEyZw5cqVvHTp\nEvs++CDT4+PZtmFDrzXIreKXX35hSuUUyiaZzhB/Ictz585x27ZtXnj86GHDGK4ojNCstMngPRL4\nOsBeZjMtEH5MRQPg3RxQSk2wLlq06O7m1v5GdOrUCXl5eUhNTcWIESPKXNMBgIaNGuHZDz/Ei9ev\n4wyA5ZqGRU2aYO2bb8IBwAVgIIBTJKSgIABAcHAwdv/wA1auXIm//voLy9PTcejQIXz77bdISEjA\nxcJCXAewswAYfBRYYwIOV62KIQOH4OGHH8ac2bPxuywDbjcAUQ+4mpODpJgY2E0maCEhoKqiZ24u\nogFMt1rRpEkTyEF2vP3y20AyYP6vGd26dsO7774LXdfRrVs3uFyuu9uwPnHgwAG0qF8f1T0enPN4\noFWogB3790NV1Ts63rFjxzB3xgycOnkSn3z2La5f/w2ADfn5fWDSKuKhmaNQtWpV1KlTp8z58M93\n7kSP3FwkQ6TAf2YBtn6yGYqmYNy4cZgyaUqJOh5JSAB+AtAPwH8BUQgwQs6ToSoqDhw4gB++/x7D\nABQdoSKAC5cvl/meCwsLcejQISiKgqSkJL9ryWrZEj1++gk9Aay0AhclovOl87h06RI6P9gZOZ1z\ngAQAPwNPjX0KdoeMtpc92E3gLwCtXn8dy2vUwKsLFuDFa9dQA0APiBx5fF4eDgKoLUn4SNdxVZKQ\nUKUKnhg2DG0aNcIXX36PHMtfQC/j5kxArj0XU6ZPwbMzn0XLli2x4uUVsNvtAe/rxIkTWL9+PWw2\nGzp37oxu3bujW/fut2yPPXv2YGT//th47RoqAxh16BDeO3YMTxcUQAJgBdA5Nxfbv/0WALB7924M\nGjkI1x6+BoQB32z9BkOeHIK42Dgc3X4U7ppu4CiA80Dt2rUBAFf/+gthAIZB1Bzp8SD29OkS15Kd\nlY2ju48iPy4fcAMaNdSuWxUt9n+PHteu4RObDfnXr+MiiTAAhQBOeTxwOp23vM9XVq7E/BdewIc7\ndiAhNRVbp0zx1mkBYPv27ejaoQMiJQlLrl/HyDFjsO/4Ifxy7gz+MHtw7tw5VKhQ4ZbnqVChAg7/\ndBj5+fmwWq1+71dERIRfvXHW/PmoUrMm+o3oB08e8BkBB4CehYXYbrGgqSzjkfx87FQUIC8vwNnu\nMO7a0HSbUZYVyoULFzh37lzu3r2b3377LSdNmkSTyRTQYwMQePuivyJc/h9//MGOzZrRYjJRt1o5\nb/ZskuS0p59mLU3jMGNmYgLYqkGDElyHHTt2UHWqlMNlQgMRAgarNtZVVc4AmK3r7Nmlizev6na7\nOXHsWNplmeOM1EOY1coMq9WrqTXObGaVlBRqRuqmXePGXLlyJbUgjagOyokydYfOUFXlE1YrO2ka\nKyUk8NKlSwHbae3atbz3gXvZ85GepVoV3yqa1a7NZcYM1w3wXkXhHKOtbjeKnA8nyjKfASghjP6S\nNpl3ZEH84osvsqWi0A2wjxm0VBSEQowE9VjBfbgxPB4P699zDzWAaQCnArTahJCg1ECiM8TJb7/9\nluUiIxkMgWL6AuB5gF3gL/Z5Y1y9epWjhg5lyzp12LtbN1ZNSWGyrjNSVflgx47etM3u3bsZYrUy\nHBD5++4CqqqmqezYqSPtEfbiFVMKiPagMwhe2XtCCBj279GD9dLT+REEDLycz+8E2NDp5Ny5c/n1\n11+zsLCQb7zxBiPMDlrRhbCkEXWMdEl/CG+c3qLtbNVsvO+BwIoX3333He3Bdiq1FGqZGqPjo8ts\nGzB79mwO8+GwXAbolGU+aTbTA5Hb72CspEhyzpw5tGb7+H+ME7yJ3377jdlNsmkPsrNS1Up+bPlZ\nzz3HSFlmN4j08jgIU7Qbv+O//vqLDZo1oM1uo0W1sHvP7iwoKODy5cs5+NFHhanWsGFM13VOA9hc\n01iralX27tKF/Xv04Pbt27lnz55b8mS++OILLlq0iB988IE3dRfhdPITow2OAjRZJSH8Oh7EQ0JO\n6EYnSlKYsw0ZMIAjBg8us/Po3r17WatWE6ouJ802M1EFtMrwc3C8R1WZlZXFWtWrs1nTpv//raH4\nRlkGlEAxePBgVq1atcT/36pRrl+/7ldMc7vdfKR3b0ZLEg9BcD0estn88s4kWTmzMlFT5Fwx0SA7\n1QOTKyTzqeHD/ax6T548yfTERKYBfBNgawjvhmaNG/M5nwd6FGB8SAjdbrc3j52SlkL09Cm4KeC7\nPvv0tlo5/bmS3uivvPoKtXCNuBeUmkl0BDv466+/3na7pkZFeTkrBDgH4DAjBXi7MXPmTD5udCSF\nAFOgExhA4EuazeOYmJh2W9ycoli7di0dAGsB1GwgHvdJXbUGH33s0YD7TZs2jXHGQEEI/aZ7zGBm\nZgZ//fVXLliwgF1MJtYxnlkcBMw6XFFK7Tw9Hg9b1a/PborCDQDTJYnDjAlDLsCmmsaFCxaQJBs1\nbsQMCEM2c21/bTJFVyhbZQFdnwIiQnT49kRwtlScluhmtbJRVhZDdZ1hksSXIQQTXzEmAJsAhtvt\nftc7c+ZMuuAizI2JGJUIBuECYQalOlKpzpB5eXle2H1202yiQ/E1W+paOPKpkWV6XitWrGAzH4j6\nDoAJYWHMLF+ele12ltN1tm3c2JvyfPPNN6mn+vBA+oARcRE3Pcfp06fpNJn8vNobOJ0BgTsej4fn\nzp0rdWL2zTff0KUoVACaJYnhViuXAOwPUUivousMVhQuLoWovGjePMZpGh9XFGba7ezVpQtPnTrl\n549yFqBsgV8Kz1nFWaJWunXrVoaqKjMsoMMKmhWZ69atK7Udirhddns4YYknapqFRIwLVMuBHczg\ndoCTASZGRPjVuu7mgCKXtnJxOBxl+ivLkvBuRq1atfDrr7/e9n4WiwUkcerUKVy+fBmyLCM0JARD\nSKQC0AFMzs/HZ1u2+O134cIFga1NBXAMwDwAPwFHjx1Fo2bN0LdvX8iyjPz8fLRq0ACXjx/HSoh0\nxEcAnnC7YbFasUXTUGAc82NJQnJSEmRZhtVqBSAgmnAUn9fjASr5XEel69dx8fz5Evf17PPP4lr7\na0B1gBnE1ZCrGDlyJHJycm6rferUq4cFVivcAC4CeFPXUbt+/ds6RlEUXL8O3eMBAJgAvIUcqNbV\nSE0dgnbtTuCLLz71SwmUJfLy8tC3Z0/0ADAOQCQBFGU2CFjPW5EQm1BiP5I4d+4cTAD+NP6vKYDa\nhUCF5FRIkoS9e/ci3u3GBgARAIKM6/720KFSYcsnT57Evm+/xZt5eWgLQCbRGyKjpADofO0afvzm\nG1y4cAE7du7AeQC1AZiv+Bzkv4B8LQ9PXPdAWQ6YFgO4Alh2WnC1FTDJBtSXgFqKgi+dTrj378cX\nOTkYQ2K8LKN8jRqYFRMDqyRhQFgY1qxf73e9WVlZyJXcgPQ50DcXeAJAd8BkNcH6p7X4Oi4BukMH\nAMyZOwcOlwMx5WKQVi0Np0+fFo1iREFYAU6fK5lSChTdunVDQaVKaGq343FFQWdNw6JXX8XXBw7g\nre3bsf6rr/Dhli1euPuDDz6IqtFVYX/LDm2jBu09DctfXH7Tc9hsNtBkQhFInACukQHh0pIkISIi\nAsHBwSV+c7vdaFm/Ppbl5SEXQC0SS69fR38A7wHYAOD7nBzszcvD1DFj8PPPP/vtn5ubi7FjxmDn\ntWtYlpeHL69exRcffYTDhw+DZjO2G9v9BcDjRvHLWAi4L7gRGhrqd7zZTz8NV2EuDqUBf/UD3I09\n6PpQV1y8eNFvu9WrVyMoLAgWqwXZDbJx9Wo9gOeAdoVAFcBkAXJPAZ/KQEcAG9LS8PHOnf936fPS\nRprXXnutzH93Ene6Qhk+fDhTUlJK/P9NboWkQLmkVUujGqTSqlo5dMRQPv/883zQxxdlDcA6aWl+\n+z3U+yGaE8xEDAjVp6DbT8hsFKEz9u7dyzSHgxmAHzN3uCxz4oQJ7Ni8OSvY7WzkcjEuJKTEEnb4\nk8OpVdBEOqIjqFtktjFSL/sARpnNJUhzbrdbqO0OENelWsAHZSEYWDUl5ba0tC5dusQmtWvTYbVS\nNZs5ZvjwW0JLS0MJ/fzzzwzTdb4KcCuE8+HE0bevUOwLDz5w4ADDrFYOMNr1O4C6GZQqgvZKdpav\nXL4EwqiwsJAPtGvHcoaZUgSEymwrCNWAGhLolCXWyMykLguG90GAzc2g3WK+6bWdOHGCEYriLfZ3\nMdItRTDNNqrKF2bP5q5duwgVdFiENHysBbRWAdEMlG0yB5tMpOgCuBZgsKqyS7cuNFvNtKpWduve\njRs2bGCNlBSvICMhSGxF7p83I88OGzJEqA9PKp4R2xPtjE2KpVpFpdxAphqscuXKldy6datY7Y4Q\nM2hTYxOjEqKoVlaJ0SCGgVqMxpUrV960bXzfm/z8fK5atYqLFi0qk9r2nTg79nrgATbVNL4O4b5a\nMy2tTECPq1ev8tSpU3S73fz555/p9GnfRgA3AjwJQRT0Sy0CXL58ud+xTp8+XcIbvp3TyXXr1nHz\n5s0M03XWNLTPOrRrSy1cozXbSj1RZ4dOHUp8a/UzM2k2+z83S5LZD3W4b98+AVjob6R+bSDkRoRs\noOK6gZWsAvTzBcC6ZhCysBHu27+vlypwq77zduIfTXldvXqVe/fu5d69e6lpGqdNm8a9e/fy5MmT\nJMmxY8eymY+F6ooVK7hq1Sr+9NNPPHjwIGfPnk2r1RpQG+tWjdK8bXOaGxgolzGgHq9zxYoVrFah\nAlvqOh9RVYbpuh9q5eTJk2zbsCE13UqYIFIGU3yWqolOLz/jl19+YbSq8kWI3PZLENIp4XY7jx07\nRrfbzS+//JKffPJJQJG769ev8977O1KVJEZJEp0AM42XORpgOauVb775Jklj8CpXjrIkMdTlpBKj\n0BEkjMKKUiQP2Wyc4YOeKUsUFhby+Vmz2L9nT86bO7fUjuq7775jhbg4ypLExIiIgMKhu3fvZruG\nDVm/SpUSPJyyxKJ587zw4JbZ2fzll1+omM3UAD4Dca+JAKNDQvj2228HlK944403mK3rzAf4M4Ty\nQJAkUYHgVdDoMGwArdFWOkJAuw4qSWBSpaSbXp/H42H7pk15v6JwrZGSCjKbmelwMEnX2b5pU+bn\n5/PgwYMixVEB1CQwSgZtEmgxgV26dGEvn07oe4CxwcEkxWDq28k0uece7/MlwCdNJo4aXlJGwzdO\nnTrFuXPnMiElgeZqZqIvaGpkYlxSHM+dO8fFixdz6tSpXj7MzJm5G+ejAAAgAElEQVQzBRKs6B03\nGOQ9H+lJq2Kl5tTYs3dPPvvss1y1alWJZ/rLL7/wnooVKUsSk6OiyuTtfmN88803bFWvHmumpnLc\nyJFlgjYXyfl3b9+e4556qkwTqRdmzaJutTJcUZiemMidO3fS5vNeLIZwYH0Nwu9om/H/JwA6JXDR\nokV+x3O73axcrhxfkCTmQxiChem6lzV/8eJFfvnll96+bvv27ZwzZw7XrFkT8NtYOG8eIYtnUKSk\nrcapfn5KixcvppKliN9HQeiOOTXCVIUIshIVwZ5G2nSECVSTjbT9OFArr3HOC3NI/g8HlC1btnDR\nokVcvHjxHXk5fPbZZ15yoizL3n/37duXJNmnTx8mJRV/yK+//jrT0tKo6zqdTidr1apV6uzoVo0S\nGh1aTC6aImaITz71JHNycvjmm29y2bJlfoq0eXl5rJSQwCkmE3+C8BmABcRQY/+hoOJQvJBaj8fD\nh+6/nw00jX0AJppMrJyQcFMTHd8o0vAqyvMnILA4ZE5ODuNCQ/kmBHT2PwAdqsJgi9mvBjIL4Mgh\nQ8p0bt/rb6xpXAiwlaqyY/PmJV72nJwcxoaEcJUxcH0AMNLpLDUvfSfxySef+MGDB1ks7Ny6NVs0\nbcrHIchonSFIkeE38TmZMnlyCV8Up6IwWvKfcVYBmFIphfYEOx2ZDtqDy6aKm5uby6fHjmXHxo05\ncvBgnj17ll999RX37dvnbbd169ZRA2hSILzPB0KQ+JqAvR/pzYTwcA42mTgSYKzNxgVz5wY814oV\nKxhstXK0JLG/xcLYkBA/iY8b44svvhDS5eWNiZAVlB0yZVXm1GemBtxn5cqV1FN0AaudIsADCeWF\n/4jH4+H4p8dTj9Yp15epJ+ns2Lmjd9ArKChgamwsFxod6nrj2Zw9e/aW7fjjjz9y6pQpHPXUUwzV\nNL5qzKhbqioHGn3D3Yzt27czQdN40niHZ8ky61WtyrSkJLoAtjcGE4fJxOz0dEIGFQuYYhMUAc1p\nDThYHj58mLXT0miSZSZGRHDr1q30eDzcvXs3169ff1vwe4/Hw4ZNGgjOVGvQkmZhjTo1/CZ5q1ev\nFkTNSQYU2iIyJ8iWiXgrJavEULOZPwOsZoNQUS7q/zqDbe5tQ/J/MKD89ttvrFmzJmVZZlxcHOPi\n4ijLMmvVqhUQnfC/iFs1SvWs6pQ6GIXISaBW0V8O/sb47rvvmGZoS10H2AZgiATKVlCKkWhz2Pji\nS/4M9oKCAg4YMID1atZkv379bktdtEjDq6iTaw5wgfHvAoCtVZULFy7k3r17meGzHQHWdLnYqXVr\nPqgovArhXZ+iaWXC0BfFkSNHGKmqzDWOmQ8wUde5f/9+v+2+//57Vr5Bc6uOy3VLPsLtxOTJkznR\nZyD4DUIo8uWXX2ZTRfGSsqYBjHa5OH7MmIAM6ffff5+VdZ0/AnwLYDdZZvn4eCoQqThCiHlqADdu\n3MjNmzdz9erVNzVbujHcbjefmzKFGQkJrFmhQgmWd1q1NAbLoKMIVVX0QTcHBwwawD179jBS15lh\nsTBFUdiiXr0SgIV/LVvGSE1jc02jy2xm00aNbok2iowNJ9oYqRDFQHZNATEctDlsAYEbhYWFbN6m\nObUYjY4qYmAt6jgvX74sGN9FPKmJoB6pe1fox48fZ4ym+b0XzV2uW2qb7dq1i2GaxlGyzHqyzN4+\n+581JgB3O+bOncshPsTlqxCGVJcuXeL9rVszPjSU9apX904Gpz4zlVq4RjlTppqgsk3HNjddcRf9\n5vF42OfBB5ms62zpdDLcbr+t78Tj8fD1119nv8f6cebMmSX0BAsKCli/aX3ak+1U66i0aBZanVba\nUmyUHTKjEqP4WP/+tEkSJQv8zOosWRavZto/PqB06tSJWVlZfo50R44cYVZWFjt16nTXLubvxK0a\n5ccff2RIRIjwzYi1s3GLxjfNPR88eJAxmsZcCOJjC6NjPwpwKMA6GRkl9unTvw/1BEMiopzOXo/2\nKvX4OTk5fgPO+fPnGaQoXm+T+UZHl61prGy3s3XDhszPz+dvv/3GYJuN543tLkGgkX744Qc+2KED\nrSYTXarK+T7sc5K3rIf8+OOPTLHb/YhdmQ6HlwVdFGfOnGGQzcYzxjYXAUao6h0hy0qLZcuWsbWP\nUdo6gFWTk5mfn88W9eqxht3OuqpKJ8AZAEeaTIwOCvLaL/ve84C+falBqK9WhEh5ZcsCtRNuEumu\ne2rVuGMxxelTp7KWpnEPBNIqWtO4ZcsW7+9JlZOo2cGOEqg6IMyvaoEWxcJ169axc6tWnGrUUQoB\ndlRVzpoxw7v/lStX6LTZvOTcCwCjVPWWMFKr3SwGkScg4O5Tiv+kGPDtt98usc+uXbvoCnXR5rTR\nqli5dFmx9e/x48eF94svwbBysTf9lStXaLda+V/jOnOMCcmtSMm+xMRlADv5vH+/AAy/Q+L0zWLt\n2rWsoeveydOHACvExt50n48//pjTp0/nypUry6xk/f777zNT173eNesBlo+Ovhu34I2CggKuXr2a\nS5Ys4f79+wX02mUlOoNoKdCKfSBMt2QzaE4y0VHRwXLly3lVAP7xAcXhcAR8Mfbs2XPHTPm7HWVp\nlEuXLvGjjz7i559/fsucvsfjYbeOHdlI09gU4HSfF/19CBnuefPmeVM9R44cEQWycSCeEqkNxaWU\nSHldvnyZdRvWpcliotlq5uSpk72/vfbKKwxVVZZTbYQGWqpYaHPZ2LN3T7+XePK4cUzWdQ5QFKbq\nOsf45NJvzL0ve2kZ7UF2mq1mtr2vLf/888+A93v9+nVmli/P0WYz9wGcYjKxYnx8QJXlGdOmMUHT\n2FfXmaLrHDdSwEgvXLjAY8eO/W3p+NzcXDaoUYP17HY+rOsM03Wv6nBBQQE/+ugjpsXG8kOfZ/Kk\nycRxAQr/LevW5VJjtTMV4GiINMcbEExzu9XKwsJCfv3112zXsCGzMzL43JQpZb6H6snJ3jQlIWT7\nBz9aDF8ePW40lUSFehRokkBdAqvIErspCsM0jRWjoviNz/5FfJOi+PXXX5l4g+VuE5fLL5d+Y5w9\ne5YRESFCUmiAgAmjr/FePgxKFpQAxOTl5dEV5iIeMgaMx0HVqXLq5Mns27Urp06axHLlywn+xGiR\nMnGF+UuTzJk5kwmaxoGKwip2Ozu3b89p06Zx1qxZpa6osipX9krSXITgAQ2WJL4IsKKmcc7MmWV6\nDrcTbrebD99/P1N1nW1cLobb7bdd78nLy+Prr7/OOXPmBOwbDx8+zFqZmezvw+2aDNAOsGJMDF9c\nujTAUf9+1GlUh3jQeIb3iExH0XuzH6AZ4Nq1a716huT/aEAJZL35zTff/P9qQLndKCwsFLPl5s1Z\n2WzmRQjkRxDAkRAmUuVjYnjx4kV+++23tMfZiTpGisEFSqrkJz7o8XhYPq08UdVAbzwJalFC5v2t\nN99kYng4nYrBS3iqmCMQSILls88+4+LFi0vVvCKFVIkWphGDQIwHbTVs7NK9S6nbnzlzhl3btWNa\nXBzvb9HCW0AMFLt27eK//vUvbtu2jR6Ph2OGD6fDamWMprFqSspN8/tlifz8fL777rt87bXXAnq1\nV01M9NOueh7FvJmffvqJs2bN4sKFC5kWF8e9KE6RtUWxvMYWgBVjY/nLL78wTNf5MkQqLFvT/Abp\nm0V2lSpc53Mdo2XZr1heUFDAwUMHMyg8iI5gBxtZrd6V1waAkarKIYYUSQ7ARprGxT4F37y8PMaG\nhPAtCM7JYIBBilJqB33gwAFGBwWxparSbAEB0AIxkKkAI41O7UZOw5EjR6iH634rGYfTzPo2G/8F\n8AFFYa30dNasV5OqXWVqemrAjnTnzp1cuHAhn3/+eYZpGp80mdjfYmFMcDD79ezJcLudscHB3hX0\n9KlTWVfT+DPArwEmqCo7tW/PR7t359v//neZnsGN558/fz7XrVt301Wnx+Phli1b2KldO2anp3s5\nI2WJ/Px8NqhRg810nUOtVkaqqt+1njlzhtFBQewvSYyFcFCcC7AqBPBiN8BkTePqAETc0q61rJHV\nOIvoajzDKuCDPu/mFQgC942p+H98QLnvvvuYnZ3tl6c+fvw4s7Oz/5/ylP+/il27djHYbKZuDCYb\nfB5SX4NweO3aNdqD7IKYNtYgLtUHG7Vo5D3O6tWrxWAzxHjgY0FUBxs3bswYTeNuCHSIOegGNFmS\n846Y5ePGj6PU2IfANhwMjgy+iy0jYu3atczQdV40OuvJJhPbNGgQcFuPx8OXli5l81q12LFJE37+\n+ed3dM5nJk1iHU3jN8YgH6Wq3LZtG3fs2MEwTeNAs5ntrVaGKQofstm4C0L3Kgpi1jYIQvH3ww8/\n5IwZMzjMx8/jCERtpiyxYcMGRqgqpwN8UpYZ5XIFHABJ8rnnnuNoI71FCEi4S1VZJyODcZrGUEVh\nzy5dSqyOdu7cSZfJxMYQ0ONQm61U0dB2jRpxkTErXmi8r+UgQB5FdrxzAWZnZvrtd/XqVSp2RYAG\npoAYJAagItHDKwDTdb3MM/mWWVleB08CbChJrGs28wQEkirV6FALCws5YdQolgsLY2p0NF+6SV2z\nKHJycnjmzBlvluH3339n13btGGG3M0KWOdBqZaaus3fXrqV2xkUova6Kwk8BjjebmRobW6orqG+8\n9dZbbOKjyL0HYHRQkPf3F198kQ+pqnfFqgEMBrgZAiW2wZjc9LhF33n06FFmZWRQNpSQ169ff8tr\ne++994THUycQ2eIZvmxcY2uAFQKk3P7xAeXEiROsVq0aTSYT4+PjGR8fT5PJxOrVq990FvtPxt0e\nULZv386sRllMr5HOxg0bcDKEdEQiBAS16EN5BkJsctOmTTTZTEQzn8FgGBgaHeo95lOjnyJCQLQH\nLWkCRlodYIgsc7JxvL8AOs0Qs4zJAmnjDHUGVHG9VcyfP59KVaU4790dTEkryeH5uzFxwgTv9RdB\nccPs9oDw6AVz5zJN07gewj0vTNMCrn5vFW63m0Mee4wJLhfLR0R4UzgNq1XjeIBhAJONjzkxPJxO\nCHG8q8YHVluW+Zih9jtnzhw+6lOk3Q8wITT0Zqf3i127dnHEE09w3OjRJVaSubm5fOutt7ho0SKu\nWLGC8ZrGXyHqJcMsFnZs2pSFhYU8cuRIqWCAl156ie00jTsADoGwd00ICwu4bY2UFO42BgAHhETL\nDIBP+jyfSwAdNluJfVetWkXNpdGV5qLiUhhiNvMKwHshOiYzwC4dSnImAkWdSpX8+FgV4c/Pegng\nI926ldjP7XZz69atXLNmTcC+ZdacWbQoFipOhcmVknn06FHWrVqVAw1I+Unj+NcApuh6iRpgUZw/\nf56uG2TnGzidZTJIW7BgAQfabN79ciCK+kVSK00bNOC9xm9/AqxmAe2SWF2GQdTzwgDWuYkhocfj\nYUZSElsYE6HKxrtcVLMKFKdOnWKr7GzqVivtQSqzGmZx7NixjFZVhphMrJ6aGtBl8n8CG3a73dy8\neTMXLFjABQsW3DSH+7+IsjTKqVOnuGrVKn7wwQfMy8vjkoULWb1CBcZoGstHRnLCqFFeH2fNZYzy\nfUCLy8xHDcn1oRCIrxMQ0MYYTeO2bduYmpFK1AaRCC/sUmorsVZ2Le/5ly1bRmuClbokBqZFxkvX\nFYIY54GQwm8FQXqTTTIjYiPu2Dfjr7/+YkL5BJoSZcrVJFo0Cz/55JM7OtbNYvny5Wygacw3ZsEx\nZhCSnYCdkVEpfgX7zKQk7vL5iKcBfHLoUObn53PNmjV89dVXA8qP3xjbtm2j5tJoyjbRVsPGyNhI\nnj17lpXj4hgCoRRchOJymEysFBPD73zOuwDgoEeEO+fp06cZGxLCcSYTX4FwmywNvns7ce3aNWZV\nqcJmus7HjJrJEwMH0m6z0SLLbJaVxfPnz9/yODNmzOD9ssxIiNTeOKODDwSEGNKvHx8w/EcSjHt9\nB2LiUrTaeB1gjQoVAp7r2LFj3LBhAw8cOMBGNWuymizzQQjU3yUIK4Z/lcGf59nJk5mtaTwE8BuA\n4bLMV33a/0mzmSOfeMJvn8LCQrbu0Jr2ODudmU7qQTq3bdvm/X3btm1+xEu5ucyM6hkMUxSegEjn\nFR3/GsB0VWWvXr0CDioXL16kw2pljrG9B2Bth6PUfu3KlStertP+/fsZrqr8HEKtfJDFwnaNG5Mk\np02cyHqqyhgIHlqWGZTSBcLPZrQFIXxhYhSFe/fuDXi+s2fP0mGxsDyKV5avw9+XyTc8Hg9rVq7M\nCSYTzxvPPNxuvyUakPwfDSj/r8etGmXPnj10hDjoqOagPdnO+LholrfZGAqBvtgLsIGicNzIkRwz\nbgzR0Gel0RvUZZkDLBZOgtDnCtM0lo+K4kpDqDIyPlLUKipDrEKiRVHTV6zx+vXrrJlVk5GSmD3/\nAoEgSzE+/ooQFp4TAVZXFPZ+8MESs0GPx8OXX3yRrevWZZfWrfn111+Xes8HDhxgqKbxEYBPAMxQ\nFE6dOPGm7XTs2DF+/PHHfpycW0VhYSE7tW7NVLudIYqJsGqENJHArwSep9MZ5S0C1ihf3tvZE+AE\nSeLIoUNZrVo27fYG1PWe1PUwv44kUFStVVUgpoxnZK5j5viJ49n34YcZ63N8AqxuNrNLu3a8T1F4\nBWLWfqNF8YkTJzj0scfYq3PnO8rd3xinTp1iy2bN2Mxk8qZGPoXwWj969GjA1VtpsXv3boZIEt/z\nuadxCMwzysnJYZe2bWmRZarGBMUDsKMx081yOBgTHMx9+/bd8ryXL19mvN3Or3zO+y+Afbt2veW+\nhYWFHDtiBOOCg5kcEcExo0czTNf5hMXCXjYb48PCSqzI3n77bdqT7YLM11NAq2MSi+0DAolHmq1m\n6hYLfwdYCSLFdBlCCLSRMXBFqSpXBeCv9ejcmS00jatQuuz8559/zhiHg1aAFklir65d6Xa7+d57\n77FceDg1q5UdmzXzzvwbVK3KrRCr3HiAJpuYlOJJ0G7yfy87OJ189913A7Zfbm4urSYTH/fZPh+g\nSZICrhB///13Bvmoftzq+L7xjw0oGzduZLly5QIyTy9fvsyEhIQyXfA/EbdqlIx7MsSKY4qY3TjM\nYF+AU3wewI8AU6OiOGnyJJrqmopf3EfA2MRYTpwwgQ9368bXXnutxEPtN7AflcoKMRzEvaDNaQvI\nA/n+++8ZryjsBJGGSAf4pfEChkAskWnMJqNVtYRXwvwXXmCapnEdBMwyTNf5ww8/BLznqZMnc5Sx\nsiLAAwCTwsNLbaNXX11BVQ2jy9WUqhrGBQuW3LRNfaOIwOUKcxGWSBarC5MWS5p3lbXitddYTtO4\nAuAsSWKYrnPy5MlU1bY++7zP5OTiHH9eXh6fmTyZXdu04YTRo3n16lUmpCYQj/kM+q0Er+OHH37w\nY8KfQHERuleXLlTMZgapKmfPmME///yTQwcMYOPq1dnv4YfLtFooS5w7d44J4eGsJ8t8yuf9eh9i\nZRGnaQxSVa714ax4PB4uWbqEmbUzmdUoq8RMuVJ0tF/KaB7AgX37cvV//sP40FDabTY+0LatNzWa\nl5fHr7/+momRkbRbLAzRdS5btozbt28vkT5d/Z//8N4mTdi1bdsSq+F7mzXjCz6e7L1tNj49btwd\ntcuhQ4f4/PPPc/78+Tx37hwvXLjAX3/91Qvfnz17Ns01zYRdI2xVCWsKIek8f/48PR4P16xZQ3ui\nXbC9p4gUblxyHEcOHszqmsYxAKMkiRLAbBSDLz6EqFW99NJLfimf8+fPM7NqBsM1hYnxMSVABkeP\nHqXTZGIHozO/ArAGwGemTClxb8ePH+eHH37I5llZXCxJfAzgAICdLKC5rgDhqKqQ1yn6FsNV9abE\n5ycGDmQc4DXKWgkwrVw5ut1uHj58mMeOHfP2Q7m5udQsFv5mbHsdYIbdXiYC+j82oLRp04aLFy8u\n9felS5eyVatWd+1i/k7cqlHCYsKKWe5TBNFsAESRs+gj3QIwMymJx48fpyvURbmRTLQHtXCN06dP\nZ2JEBGs7nUzSdXZp29aLlnC73Xy0Rw9abTIlC2hSZM6bPy/gdbjdbjavW5cdbTZWgpBW2Q2h15V2\nw8y6mtNZYgWSHh/P3T7bTAA4dtQo7+8FBQXctGkTV69ezT59+nCQz4CyB2BqKTj4CxcuUFGCCBw0\nNj9GRbk5G/vG8Hg8DIsMIWQ7gb+M4xykyRTsN7iufecddm/fno9068YffviBkydPpiRN9Ln13+h0\nRnqPeW+LFuxgWBZ3VxQ2qFGDQ0cMpVpRFQP4APGMNm7cyJ9//pmRVitDIdR9wwCWVxTvisfj8dDj\n8dDtdrNJ7drsbbPxE4DDDf2zm2lA/fbbb8zKak6HI5pVqtTjwYMHA243b9489jaAADHGs/3SGNiK\n7HO/BRiqad5Z+oKFC6jFaMTDoDVV5NyTwsL4mqEZNWfmTFbXNH4BUdSN1jQuWbKEkarKL41Op4/V\nyq7t2nmvw+12Mzc3l5cvXy4VJv/mG28wUdP476IJiqZxz5493t8PHTrE2JAQtnM4WN/hYPUKFW5L\nI660mDJ+PJ1WKxN1namxsfz111+5Y8cOyhansbolgR+oQ6NZkhhpkCQ7du5Ie7SdzipOL/HS4/Hw\nrbfe4vDBg7lgwQLOnj2bg40ax36AdjOIDFCrpjEiNoKnT58WKaJ6NWmtYyUeB+XWMsOiwvxWjosX\nL2Y44Oe0uQJg1cRE/vXXX5w/fz4njh/PyZMni9pTuouKU6HLamWiJHEbwNMAoyygOQyUnKDdJDNO\n0+hUFL5xCwt0kuzVtSuDLRZW0TTGBAdz+/btrFYtm6oaQ0WJYMuW93nlaWY9+yyTNY1jZJkNdJ0d\nmzUrk+TRPzagxMbGlvrRkEIEMOYuOdr93bhVo3Ts0pHW2lYvXFdxWphgeFQMAjgTYJSieKF8hw8f\n5oBBA9i1R1e+//77rJGaytk+q4fyZjMb167NOc8/z+XLl7OWrvMvY1Y01WRiu0aNSr2WnJwcThg1\nivc1bcqGdeqwkqrybQjNrtkQ7nFzIHxUVIuFYXY7lyxcSJLMSEjw4z2MlSSOHzOGpJiVZjXIoj3R\nTjVJpWYMWE9DFMCTVZVLS5kg7Nu3j05nuu94Rperzm2hsP79738zXVVplRRCyqCEztQh0D3hqsqF\npdQlPv30U2pagpEiu06r9TG2bfsASTFLjFJVr5+DG2Alu5BGGTBoAJ2hTobHhnutYwf27UsdgnPy\ngTGTjw4KKpFiOnLkCGM0zcu69wCs5nCUer8FBQWMiEgiMI7AEQLzqevhATvXmTNncqiBGnsdYnCA\nBYy4QfKlscvlrWlVqFqB6AtaGoA1LAL48QXABE3jhg0b6PF4OH3aNFaOiWH15GS+8847nDlzJkf6\noNPOQ/CjSHLpi0tp02yUzTJrZ9cuVYY/OyPDzyN+JsBBj/rbAFy4cIHvvPMOP/jgg4C8pNuNzZs3\ns7yu85xxzvmSxLpGgTo8IpXALgIF1BDFl41nsw3F2lg7d+7kunXrSoX5FtU4PgOYbQXR1ic1mm3m\n4KGDeebMGeHR7iO+6Kzk9IP5v/LKKwwDvO6qHoisRkZSEqtXrMhOisIJACUTilfLo0ElSGGNSpU4\n1GTiZxCpxs4QKe0QSeKjvXvf1qB89OhRfv311/zzzz9Zu2YDAt0JFBLIp6K05ZQpz/LatWtcunQp\ne/bowUcffZSvv/56mZU6/rEBxWaz3XRJdvDgQdoCoEX+F3GrRrl06RLrNapHs9VMs9XMqc9M5aqV\nK9mhSRPWSEtj74ceKjVvv3PnTjogJE08AO8D2NSY0bVWVVZMSPDzOzmCsqOEPB4PX3npJbbNzmbb\nRo1Yu3JlhtvtTAwJYWebjX8A/AlgoiZm4C8uXcryRt53jpEyKhr0ly5dSqWiQHU5wsRS/zDEKixD\nkvhA585+5y4oKODPP//MEydOCKazPYzADuM29lDTQkt0RAUFBRwxagQjEyKZVDHJz9SqCO110Rik\nNcDL/D8BMFRRAkqkkOTChUtos9kpyxY2bNjGq+J86NAhxhimWkUfdVWHwwujnjtvLq2KlSaLieUr\nlWemASWuDWHxGma1BuRLHD9+nBGK4jdQpdntpcKz9+7dS/gZhZFARkBtuYMHDzJM1/k6BFS0qMOx\nmUWqg8bMNcIn5ZF+TzrxMOgMRklV4d69+d///pcV4+NZw+lkqt3OVvXrc+nSpWyrad7Uzg6AKVFR\n3Llzp4CODhGpFnO2mY1bNA54X/XS0/0GlFnA/4l+VlGcO3eOTRo14hAfaZ0/AaoWC0myd+/HabP1\nIXCMLqh+A3Arl6tM0FmS/OCDD1g+OpqyKglSpzFo4F6wU7dOvHz5svCqH1ucBrcn+KeILl++zDBN\noxNCKaMuBAy7V8+ebG3Ahk8BtFlvgPlXcXLFihXMLF+eUbLMRRCTxZkQq8s6JhOHDxzII0eO8IUX\nXuCCBQvKpHn2+eef0yIFE9jq0yxvsWXLzqxTpQrbqyrHSxLjNI2v/OtfZX4m/9iAkpKSwjVr1pT6\n+5o1a5icnHzXLubvRFkb5erVq7elsUWSY0eNYhWAk4zOPQ7FDmj5AF0WC+tarcwz/m+uLLN5Vtad\n3IY3ykdG+sGTZwJ8ctgwksKnu3PLluzVpYufJHj/x/oTTYyUnkN42RftPwMCTVUUp0+fZkpKVdrt\nyVSUMHbr1pcfffQR7fYw6noiNS2Y7723jtevX+f69eu5cuVK/ve//+VTY5+ilmqQJXuDWrDmdcdc\nuXIla+k6r0IQuFJ8zk+AdV0uL+M9UHg8Hj85HLfbzYc7dWKQJLEHREpymNnsTU1t3rxZoH6Gi45T\njpM53ud8ZyDgy6WdqyiV9m+APWw21svMLPXd2LFjBwGNwBXj8PkEYri0FMbzl19+yRZZWaySmEhr\nsEWg/u4HNTOYJYPhNhuf9zFMW7NmDbUQjQ6nKKQX3UORqqA6pn8AACAASURBVPADbdtyksFhKYBw\nOnx22jTWSktjG03jMKuVEZrG9957jzNmzKAp26cGOEYYed14/3PnzWV0fBSjZElMUACGqqpfyutu\nxsWLF5kcFcU2JhPTAS/C6m2IWT8p0FRZWc1os4XSakzOigadhDuAmI8ZP4ZqBVVokA0Tzp5FEPP+\nA/tTS9SINqBSReE9de8pIcd0+vRp1khLo0WSqJrNnDRuHBcsWMDHDJXoAoAhRTD/KYK/owVpPHz4\nMPPy8lirQgUOg1BlKHqm5wAqZjPD7XYOtFrZx2ZjbEhIqZOtoli4cCFTZDsteMKY2LgJ3M927e5l\nUx/ZpB8Bhvq89zd+VzfGPzagDB06lJUrVw4oDX716lVWqlSJQ25D0fb/Mv6vmPIkOf255/ig2cwq\nEDnxWBQX/L4DKJlBu93EcAmsbJKZFBFxx9pWp0+f5qSJE5kYHMzVPi/hwxaLV47+jz/+YP+B/XlP\nvXvYp38fr/zLQ9270+wUKT1rbTBbEiuUzwHGaprf7KtVq040m8cbL+ZValo9vvLKK8zJyeGhQ4d4\n9epV5uXlsXGtWqxtt7OL3c5wu50R8RH+TonNwSeGCvin2+3mI927M0pVmeFwUJMkL6JrD0TNoCwz\nsaJ46623WEfXeRYCpZYOMCEoiN988w337dvHCRMmUGroQ9xsLfD6RfDYxZLE+tWqlXr8vLw8Tnv6\naXZp1YpjR44sVZaGFGlKiyWIQDUCzxFoSFl2cc+ePdyyZUupUOfc3FwGhQUJ298pIB4EbZot4MC6\nadMmNm7emE6ziWMliY8ZqsInT55kteRkP0vgZQD7PfQQr127xldffZV9+/ZlSkQEIxwO1szMpBSL\nYv5RD9AR6q9oMXf+XGpxmkAgVRWrSV2S6FKU2xIVvZ1YtmwZu6oqPRCK0fEAqwGMcrn8BjGPx8NT\np07x+RkzGG6xsKvJxESLhY/17l3qsc+dO8cdO3aU4AFdv36djwx4hDbNRt2pc/LUyd5Ctsfj4Suv\nvMJHBjzCGTNnlDmd9/PPPzNM0/ghwOMA21gstGoWaiEarYqV1cuXZ7XkZD45eDAXzJ3LGKuVXX2e\n3SmALkniEp//G28y8QmDF+Ubn3/+OTNqZDAyIZJNmjdhZU1jEjQ6kEIV8bSaXZw7dy77qcWruWsA\nLSYT3W43V61cyRBdp1mW2aB69YAw4n9sQDl79ixjYmIYFxfHGTNmcN26dVy3bh2nT5/OmJgYRkdH\n35Yk8/9l3EmjeDwenj9/vgQ79ptvvmFcchwlWWJcchw//fRTJkdFsYfFwn4AHZLEJ00mrgKoW0F0\nND7ex0FLOQtrpad7ax+l1SwCxdmzZxkfFsbBZjMbQnzkj0LwUhyS5PUKr16nOq01rURP0FrHyrRq\nabx+/TofGzCAtWXQbPxFSYZ2UGysF95cFFFRqQR+8llAzOHAgcP8tlm6dKmfSON/ACoOq9B76gM6\nooQ9afWMDG7atImXLl2ix+PhL7/8wj179nD9+vUMdziYoOsM1jSuK4XdXVpMmjSJT9/wIQaZzQxX\nFKY5HAx3uURhfrJofzVMrIoiIQYWp8lUJlOnG6OwsJCLFy1i/x49+PzMmd5C/datW6mqTprNwbRY\nVA4dOpSqU6WroouqS+UL818IeLwvv/ySwRHBVJwKNafGZ555hv179OCQAQP8YOVFsW/fPk6eNInT\nn3uOp06d4qlTp5gcFsbHjYnMNRgWw4Yv0HfffcdwVeUWCGXm6iYTwy2gPRzUKwnjtSBV5datW9nz\nkZ4cMGgAkysni8HkaYE+WmO08VcQhfnbUVwuLa5cucKNGzfy008/ZX5+PufNm8fHDQKpBwJGrVut\n3vTmjdGjc2fWVhT2A9jKYuE9lSoFBE2sX7+eepBOV3lRFJ81e1bA6/jkk09K7P/xxx/zueeeuy3R\nR1LU/TKTkxkbHMxeXbrw4sWL3LVrF8Ptdr4KISPTXlXZt1s3Dhs6lBoE1Hs1wBqKwtSwMH7q826v\nAPhQx45+5zh8+DD1IF3A4weDtkwby8fHspymsZaue59p0QC30fhGHrVaeW/z5ty7dy8jNY37jJXU\neJOJjWvWLHEv/ygP5dixY2zTpo2ff4ksy2zTpk2pEhP/i7jdRjl//jzrZWYyyGajZrFwwqhR9Hg8\n/PPPPxkUHkQ0BhHvIFwuKrowyZo9ezYnT5rEjz76iE3q1qVDkqhafaRUpoBqFHi/yeRX+7gZu9U3\npj/3HPsbXuwZxsu3CKKgPhLg+LFjeeDAAeoRPr7bk0F7jJ3ffvstBw0aRBdEYf9NY0YfpmkBz9Ww\nYVvK8kxv+kbTmnHJEn+Y8I0M+BMAgzWNNoeNmixMrpoZK7baFgujgoJKyN3n5uby8OHDJVa5P/30\nE995550S2/vGO++8w6q6zsvG+R+SJFaSZS+0ehhAq2ahJcZC3SEzCIJo9iwEozxJUUplSt8sut17\nL+vbbFwKkVpqkZ3t7WyK7ufMmTNUHWrxam0EqLrUUlcqhYWFPHPmDNesWcNow3NmqiQx3G6/KfCl\nsLCQmeXLc6QsszrECtkJsEu7dt703KxZszjCpzg/DWBPCJXm5RAkT6eqUg1Widag1ESirMlEN0PN\nweKfmmzmcpX5nS0tjh07xsSICDZxOlnT4WCdjAzu37+fYbrOFRDIxlaqWuqq4/fff6fzBuLhPQ5H\nCRhsXl4edZde7KQ6ElSDVK/b44kTJ5gcFcVGxnXUSkvzFsSnTJtCLVKjqb6JerLOtve2vWPVaZJc\nsmQJH/ExTLsEkdqqlJDAKRDe9I0BOiwWjh4xgvU1jScg6oxpmsY3bhDsXLp0KdXaavEKfLxwW/z6\n66+5ceNGv9X+J598wvRy5RjhcPDB9u15+fJlLlmyhAN8ricfoFmWSyC//ifExosXL3L37t386quv\nSp1R/C/jdhulS5s2HG6x0A3BWs3Qda5Zs4Z79uyhHq0TFo3A6wS2EFJl9u8/0G//e1JT+SHADhbQ\nWl3k8PEU6JCLC9GEUCkeNWJEma5pwrhxnGjsl2Z8dN4lsSRx3OjRPHjwoBB8LEKnTBK+FPv27eOM\n6dPZyWxmdwiToNEAK5Uiy3306FFGR6fQ6byHup7Ili3vK1E/2LBhA1M0jf+FkAp5wmJhlzZt2L9f\nPz4lSVwOsAFESi0BwtnOLssBwQ2HDh1iv4cf5gOtW7Nnjz5U1Qg6nfdSVaP5zDOBFWU9Hg+HP/44\ng202ptjtDHU6ve3zKUAFGoER1GFnOwgeTw0IAcgnIKRHXngh8KqhKP744w/u27fPy0/YuXMn7SjO\n7xcArKDrJeDbBw8epD3K7leMdVV03VSskyTrZWRwvc9zfVqSOGLw4FK3P3LkCOOMwnshwEMAazkc\nfud58cUXea+PF8l7ADVJ4guSxPUQ7PaI+HAxgBRdbxXQrJuJ5qBVKjZzuwjBf/rxxx9JijTmli1b\nuGbNmtuCkHdp04bPGjUfD4SQ6uQJE7h79242r1OH1ZOTOWb48FIdGc+ePcsQm40FPm2V7XSW4Oec\nPHlSyOr7PocMFz/44AOS5P/H3nuHSVFmb/+nujpU6DChJzEMM+SZIeckOecsQZIoQSVJDipBUFlc\nUAQTq0jQNYG6KKsii6iwi0swYAQlSFCQOORh+vP+UT093ROYwfX7vr/9fb2vi0uhq6qrKzzPec65\nz33369IlZA8QEGGwy8V906eTlZVlFeUnBfe7X3AnWX4ln3zyyQ1ZZEXhueeeo2fYffhBrP6X/NbA\nXbxeXn/9daaMG4ff7SbR52PhggUFJrNVq1ZhZoYFj2MFwxsZIL6xfj2lY2JwqiodmjaN6KV6/fXX\naeB2h67hP8ViPAYCAdavX8/kydNYtmzZ/5sJ5f/rEBF++OEH2jRsSOnoaNo1bnzDFVSZ2NhQwQ8R\nFgQH/oMHD6I6HVj00NyPPyM+PlIDq1x8PN8GX8D6DsGmCja7jbKxsbwedtyBLhcLSyjBPXv2bNyK\nRXedJkLZ4OCwXCzK5N69e8nJyaFJyyaWRldfQaulUa9JPa5fvx5KmY2x21kkVt1kbdA2+Pr162zd\nupUNGzaEJMcvXrzI9u3b+eyzz4qMzP700ENodjua3U7L+vX59ddfWbhwIXc6HNwnwkyxGCy5DVvv\niSX5EN5AdujQIRK8Xh602XhKBEU0LOotiBxD1/03lFs5evQoX3/9NatXr6auabJDBJd4EFmHyPdE\niUaiWJ7x4WrCm0TIKF26yONu3LgR02fiTfGiuTVWrV5FywYNSAweIxCcUKq7XAVEES9evGiJgQ4L\nvux3WcoIxQ26dStW5KOw5+NRiZS7z48TJ07gdTpDq7SrIlQw84ytwJLYqV6hAr11nRk2G4m6zqOL\nFtG/a1faNWjA4j/9ifQa6XnnOseqN7Xv3J6hdw6lVcvmxGkavTweyhgG9wX7mq5fv06Pdu2o6nbT\n3evFfxPikHUrVoygt68QYVjfviXaF6xgokPTpgx0udgiwqygeGO47DpYyr/eGG+eG+FYy0k1N5XY\nMCMjoiH0eREG9+zJ0aNH0XxahL+LJ9NDw6YNMRIM3JluzCjzhiSS/Dh79iwVk5MZ7XCwXCz5/flz\n5mA6nTwlVs1IE8Fvs5VIM+zChQuUzyiPq5YLaSMY8QaLH8uj3n/xxRfE6TrbxKobTrDbadekSejz\n69ev07llS+q53QwzDOIMgzfWr2fmzNmYZgYi89H1Dv+9E8rWrVvp2rUrycnJKIrCCyVo7Pniiy9o\n1qwZuq6TnJzMvHnzCt1ORCiflMQim40DIjxis1ExObmAlEIumtasyV+CD9l1sei/uU2cjZo0QWRs\n2ISyjZSUzIj9x9x5J111nSNirSSSdJ13332XrVu34jcMRmoanU2TauXLl5hzPnnqZKSGRfl1ewRH\nGSHGrtK3Y8cI6uulS5eYPnM6bTq3YfK0yREv2bFjx7hvxgzG33VXqMfh2rVrdGrenCpuN+28X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3qSot69UDrJTbww89xKTx43nnnXc4d+4cixYtYtrkyTekZFetW9XSTysriCkRzo6q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\nVlYW/fnnnzRmzBiL7U2bNqVDhw5Z3efw4cNUr149UiqVFu0nTZpEV69eJS8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AAABJRU5E\nrkJggg==\n" } ], "prompt_number": 9 }, { "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
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
Tue Feb 26 13:57:11 2013
" ], "output_type": "pyout", "prompt_number": 10, "text": [ "" ] } ], "prompt_number": 10 } ], "metadata": {} } ] }