{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Development notebook: Tests for QuTiP's stochastic Schrödinger equation solver\n", "\n", "Copyright (C) 2011 and later, Paul D. Nation & Robert J. Johansson\n", "\n", "In this notebook we test the qutip stochastic Schrödinger equation solver (ssesolve) with a few examples. The same examples are solved using the stochastic master equation solver in the notebook development-smesolve-tests.\n", "\n", "" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "from qutip import *\n", "import numpy as np" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Photo-count detection" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Theory\n", "\n", "Stochastic Schrödinger equation for photocurrent detection, in Milburn's formulation, is\n", "\n", "$$\n", "d|\\psi(t)\\rangle = -iH|\\psi(t)\\rangle dt + \\left(\\frac{a}{\\sqrt{\\langle a^\\dagger a \\rangle_\\psi(t)}} - 1\\right) |\\psi(t)\\rangle dN(t) - \\frac{1}{2}\\gamma\\left(\\langle a^\\dagger a \\rangle_\\psi(t) - a^\\dagger a \\right) |\\psi(t)\\rangle dt\n", "$$\n", "\n", "and $dN(t)$ is a Poisson distributed increment with $E[dN(t)] = \\gamma \\langle a^\\dagger a\\rangle (t)$." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Formulation in QuTiP\n", "\n", "In QuTiP we write the stochastic Schrödinger equation on the form:\n", "\n", "$$\n", "d|\\psi(t)\\rangle = -iH|\\psi(t)\\rangle dt + D_{1}[c] |\\psi(t)\\rangle dt + D_{2}[c] |\\psi(t)\\rangle dW\n", "$$\n", "\n", "where $c = \\sqrt{\\gamma} a$ is the collapse operator including the rate of the process as a coefficient in the operator. We can identify\n", "\n", "$$\n", "D_{1}[c] |\\psi(t)\\rangle = - \\frac{1}{2}\\left(\\langle c^\\dagger c \\rangle_\\psi(t) - c^\\dagger c \\right)\n", "$$\n", "\n", "$$\n", "D_{2}[c] |\\psi(t)\\rangle = \\frac{c}{\\sqrt{\\langle c^\\dagger c \\rangle_\\psi(t)}} - 1\n", "$$\n", "\n", "$$dW = dN(t)$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Reference solution: deterministic master equation" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "N = 10\n", "w0 = 0.5 * 2 * np.pi\n", "times = np.linspace(0, 15, 150)\n", "dt = times[1] - times[0]\n", "gamma = 0.25\n", "A = 2.5\n", "ntraj = 50\n", "nsubsteps = 100" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "a = destroy(N)\n", "x = a + a.dag()" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "H = w0 * a.dag() * a" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "psi0 = fock(N, 5)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "sc_ops = [np.sqrt(gamma) * a]" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "e_ops = [a.dag() * a, a + a.dag(), (-1j)*(a - a.dag())]" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "result_ref = mesolve(H, psi0, times, sc_ops, e_ops)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plot_expectation_values(result_ref);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Solve using stochastic master equation" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$\\displaystyle D_{1}[a, |\\psi\\rangle] = \n", "\\frac{1}{2} ( \\langle \\psi|a^\\dagger a |\\psi\\rangle - a^\\dagger a )|\\psi\\rangle\n", "$\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$\\displaystyle D_{2}[a, |\\psi\\rangle] = \n", "\\frac{a|\\psi\\rangle}{\\sqrt{\\langle \\psi| a^\\dagger a|\\psi\\rangle}} - |\\psi\\rangle\n", "$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Using QuTiP built-in photo-current detection functions for $D_1$ and $D_2$" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "10.0%. Run time: 23.07s. Est. time left: 00:00:03:27\n", "20.0%. Run time: 50.54s. Est. time left: 00:00:03:22\n", "30.0%. Run time: 81.23s. Est. time left: 00:00:03:09\n", "40.0%. Run time: 112.12s. Est. time left: 00:00:02:48\n", "50.0%. Run time: 141.57s. Est. time left: 00:00:02:21\n", "60.0%. Run time: 169.49s. Est. time left: 00:00:01:52\n", "70.0%. Run time: 195.67s. Est. time left: 00:00:01:23\n", "80.0%. Run time: 223.69s. Est. time left: 00:00:00:55\n", "90.0%. Run time: 243.49s. Est. time left: 00:00:00:27\n", "Total run time: 268.70s\n" ] } ], "source": [ "result = photocurrent_sesolve(H, psi0, times, sc_ops, e_ops,\n", " ntraj=ntraj*5, nsubsteps=nsubsteps, store_measurement=True, normalize=0)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plot_expectation_values([result, result_ref]);" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "for m in result.measurement:\n", " plt.step(times, dt * m.real)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Homodyne detection" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "ntraj = 50\n", "nsubsteps = 200" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [], "source": [ "H = w0 * a.dag() * a + A * (a + a.dag())" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [], "source": [ "result_ref = mesolve(H, psi0, times, sc_ops, e_ops)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Theory" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Stochastic master equation for homodyne can be written as (see Gardiner and Zoller, Quantum Noise)\n", "\n", "$$\n", "d|\\psi(t)\\rangle = -iH|\\psi(t)\\rangle dt + \n", "\\frac{1}{2}\\gamma \\left(\n", "\\langle a + a^\\dagger \\rangle_\\psi a - a^\\dagger a - \\frac{1}{4}\\langle a + a^\\dagger \\rangle_\\psi^2 \\right)|\\psi(t)\\rangle dt \n", "+ \n", "\\sqrt{\\gamma}\\left(\n", "a - \\frac{1}{2} \\langle a + a^\\dagger \\rangle_\\psi \n", "\\right)|\\psi(t)\\rangle dW\n", "$$\n", "\n", "where $dW(t)$ is a normal distributed increment with $E[dW(t)] = \\sqrt{dt}$.\n", "\n", "In QuTiP format we have:\n", "\n", "$$\n", "d|\\psi(t)\\rangle = -iH|\\psi(t)\\rangle dt + D_{1}[c, |\\psi(t)\\rangle] dt + D_{2}[c, |\\psi(t)\\rangle] dW\n", "$$\n", "\n", "where $c = \\sqrt{\\gamma} a$, so we can identify" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$$\n", "D_{1}[c, |\\psi\\rangle] = \n", "\\frac{1}{2}\\left(\n", "\\langle c + c^\\dagger \\rangle_\\psi c - c^\\dagger c - \\frac{1}{4}\\langle c + c^\\dagger \\rangle_\\psi^2 \n", "\\right) |\\psi(t)\\rangle \n", "$$" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [], "source": [ "op = sc_ops[0]\n", "opp = (op + op.dag()).data\n", "opn = (op.dag()*op).data\n", "op = op.data\n", "Hd = H.data * -1j\n", "def d1_psi_func(t, psi):\n", " e_x = cy.cy_expect_psi(opp, psi, 0)\n", " return cy.spmv(Hd, psi) + 0.5 * (e_x * cy.spmv(op, psi) - cy.spmv(opn, psi) - 0.25 * e_x ** 2 * psi)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$$\n", "D_{2}[c,|\\psi\\rangle] = \n", "\\left(c - \\frac{1}{2} \\langle c + c^\\dagger \\rangle_\\psi \\right)|\\psi(t)\\rangle \n", "$$" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [], "source": [ "def d2_psi_func(t, psi):\n", " out = np.zeros((1,len(psi)), dtype=complex)\n", " e_x = cy.cy_expect_psi(opp, psi, 0)\n", " out[0,:] = cy.spmv(op,psi)\n", " out -= 0.5 * e_x * psi\n", " return out" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "10.0%. Run time: 45.09s. Est. time left: 00:00:06:45\n", "20.0%. Run time: 94.20s. Est. time left: 00:00:06:16\n", "30.0%. Run time: 140.39s. Est. time left: 00:00:05:27\n", "40.0%. Run time: 191.46s. Est. time left: 00:00:04:47\n", "50.0%. Run time: 233.52s. Est. time left: 00:00:03:53\n", "60.0%. Run time: 268.13s. Est. time left: 00:00:02:58\n", "70.0%. Run time: 307.96s. Est. time left: 00:00:02:11\n", "80.0%. Run time: 360.42s. Est. time left: 00:00:01:30\n", "90.0%. Run time: 404.45s. Est. time left: 00:00:00:44\n", "Total run time: 446.63s\n" ] } ], "source": [ "result = general_stochastic(psi0, times, d1=d1_psi_func, d2=d2_psi_func, \n", " e_ops=e_ops, ntraj=ntraj, \n", " m_ops=[a + a.dag()], dW_factors=[1/np.sqrt(gamma)],\n", " nsubsteps=nsubsteps, store_measurement=True)" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plot_expectation_values([result, result_ref]);" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "image/png": 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1UbMW6AeXSxvzoWizAIo2+Xte7DoozZogLJRynsm8AHWY6/NM0KO4FGZZOCYqOS0tlUidw/jFnXZ3O/mbtS/iMEx0FjjW4vCJZfexJ/7kcEKuHaSQ+J9xYM2jaebbqDavUvdnluN5AN4E8Pz5+r1nLp0502TSN/OyT70WGshgLy93Asg7V3l2a6vPInZ2yqYMM2qX6fxdRi43J0AWIeU5dqfOEkoLiRVc9ufXUo3Nte10dpUXt32dM3V8P4u2OWSUtk3rj1o9c9rams2qeUXetEW/eYAqp+Xl/UcNG3AOSodZsPX9fBIKfNTTGdu2c9nNExq6tlY/BmKa/B6mDke5L8/bafNqnvk2rezDKD7L8zwM/5lnyjsyZkV0nXQ6FYCP64DX4uVJyO95QQyghbG3bfHhwxgy48rnw+DbzmVOE7zBoBv84bCbfNMUxTRwyC6rPAEck3+Q2yJHM7mOOzvTF2OtUBcWSmx7PkHUse55Q5xdZLUdpDV2l9ti4Mv3EvOefd55ktb6ZtpejdrRCtMm/bQ0rV3+rQb8TVM2wk3z4x8EXBF9d8isOkxzd8xbZo3h5/7057Tr8y62HyWEdB5ZmFVmxHw+fLDEuJITbtiTTqfCpXPuXGHbNQBk81DNTbK52Q+ru3WrYzaEd2Vm6sFaWOgmYdN0LpvMPGpMBIWyvV3cR5SdoxpqyqsmYBlEzaBrLiTWFGr5tG0nfI6wIY/cNq7bdeO6WhHyvl6HakZ0ZZ0/v9/MPYihUY7zcnIdZkWL5OuzrKNbtyIuX+4AkzBAj3HtGImc92HSNOZ4Owy/bQ8G8jyOs/KcVfY0WZ3F0PN9tXwzSfHcymGs89T3IFkj5aCDWW2c59P37+4ezzHLB6VTwfCbppt8BjELQvYX8v9kUl5+AqDhc8/uFIMc/1uZeLOX0zTGYn+4P13WNB8+LMGuEurOeoTdO7wjgHyGw/6uzVw2bcnWR36FZMT+Q9EMlL5/OOwUzTPPdIB5u/7Kaews/z7rnQi1+yP61of7ZjQqB2zBks38l5dnn+EyjxKryVAOOjgI8A/DUGfV4zBpWpkR9ZDmWl0sO9OU5Czlmeu9vj7fYvpRP2nbPP15/Xpx5UxTZHcinQqGH9ExrsxK+X9np+9SyP43s0CHZWbXCBEsRDn49EwrBO6NmA5MNfDkPkLFMlOcplS4xgtPFhf7igBwYufjaNRdmwUMdtvUJqEBn8WyvJhr5TYelzLzgvpBAOj7anWpvUTa4OiNSrVJm/OlTSsrHaPHMiG/fP/aWnf9wQcPD8a19s4LduNxByQPPFB3wU0b31mWRq2P58mzdt+0E1KpgwMBRqPu7KO8YJvXpaYRqoj9BMUny0ZMJxmbm7PfyEY97Krc2upkoxalU2urT/yc5a496XQqGH5EN6nx1Wff9HC434cc0d3HdmxAI7sJ8uFfOzt9H6gFdhaDyZNtlg+Tc9fzJqxbtwpoZoZthcNky/lzDs7mZv89ojWwY23DedRAzztmM2DZUmDBO0++acKfAXltrc+eyYvz+GvA4klmRbu8vN+qIWWr6aDUtl1fbm1N988671zePGmadcg5L7u7HZPNrwms1ZXnfG0agZj2+6y8a99re1o8H27cKHU/yJ+eFX/tt1yP1dXZ4ZlE6s2bHLE3y6WTv087V+sghXSc6VQBPia3haZt+74xhJ1FKYeIRfR9zDVrYBqoThO2aYM9DUwHg3IMMgJAdEjb9heJXU6uP8l1y8/UAAgfdM4nt8GAnydyBk0UCH56+nVWaGKuVwZTfmNfRE5bW/29AyQWl2f5sfOO5+vXi1VXe5ex92DcLis2s62BJmU6H6y2aeVMIxvT0kEWwEHJADarTjB8H8jHmfM1N2x+Ptc1yzd/087Tz/N6WhtnWbqzGH6uY63OvvdOAP6pceksLXWdlgWfow8iuo6+fr37f3V1f1w8wuGBze4ag57BrhbZw33+9KRjgSlPEMpaWChsArdEzfSsTcJa2KPzrk0UhM6uqlx32sxv7gO3neidWS9AyWyvlvJY5Ot5UZbEprL77uu+s79hGlC07X4WSJm19Y4MFrMmM8mKcFZbI/r3ERJ89931OgyHZQ8H82BW/gdtWMt/88T81+TMbcn3YPU1TbeXwlbLtJNOSbhdc/nTZMQKpZY8hrXNYr6Putc2crqdOzudy8fPzZqvteNZTiKdGoYfURiDOxYmhyYmQobFNgsPi7ARBYxZ8CS/7PPPDH2Wq8CfmeHjanCkUVYA/D/raF8rD+qVJ3C+t7a+4JfAZ4uJ+tRMdSsTP5cn/WE3XrEvItd/ml+UCCjOJa+1xeVgHWKme+Md/Vgrh3xrEWKz2jOrzRlkp1mDHq9a3WYBV24/aX29U5Zra93/uT3T2oClMxx2ZGo8nh7H37bFjUK/2V1Yq7s/l5dLCKPrN+2wv/X1+mK6n5vVrmmkLc9REkePgBu1+ZDrsbp69hLzQ6e8uw7Bym4KL+asr/fPAskCt7zcgcZg0AlZDivM9xPFMU0Ia9qeOm1vl7r5Pr9Dt2nKngPXwwptFrAbmLOpy2+AZa777m55OTluDspdW+vnzyIu7Cozp1rkhlOeZKydYPHk/s154OrZ3Ozfb9DEl5+VNHVdXi5n508rL69rROx3E+b6TWNymWlOA4pZLoZZKSvuXC/qvrNTIrkOSjy/sdH1185OOb5hZ6e+6ZH/Z21eqskxn9nS9vU8llw7yPKqlbWz098rQyRW7Z3Zbpvf7Zx/q33PeZ1kOjUunYgSO28G7GMQGPjBoIubz5umsBAQUmL72fTCwhz3AmT4ISeTTkhgRtQhT97Fxf4u1Ij++fG+PpkUBUKe16515v358303Cwl2ZiWXgQRWQR9YOBG+zBxhY+xb2NiIuHKl+MXtx2bxlzxnHTmc07RJHtGVWQOKGmBgpaGonXA3mZm7TORkZ6eb5LhTXBfK4RrPrqx0bor775+PHZM2NzuAeeihus/eysqv4jvoM5c/Tcm6fXY5zrOPIVsNrqsXRKfV6SAWnPOttSU/cxCITnuO9R/2WRDc4XUG3ME1F13eqZ4ts2npo2bRtmma72ua5lrTNO/Utfubpvm5pmne++znfcdR1qxUYwFsxiBdv15YNOBaM+ls1uNf44jlyaR/sqEBoObSmcbWzDx8SFpWQDdvdiBOfpub3Z+jdsizbYuryuBeY/o23W/c2F8nM7xs2vJHvVAE7CK2SyTva8gMv5Z2dvpRJ26b2zKNRaHoHXXk/p81Tu43PmunMzof+2Apz4d3zQJ+y6IV7jSg2NnplLWZZG0jXS4vy55/z+fb8OdorVmpJhtN0+WLiyfnC6ngu+vovHIbcv1zmzIOzFJw5Gn5Xlvr72jGaqF/cl1z/ru73f2WzY2Nvjzn+XSnGP5xuXTeGBGfl659c0T8Qtu2r4iIX3j2+4mmDCTuSABodbWAQS08DabOM3aT5DA/L97MMiWbphw9XGOHAJnXIGiLwTSiRCPha7U1EdFf8ALsai6B3K7aRKpFpKyslEl66VKJeGnb4pM14JP4zmsT8ya5nFg7yRM2RwrVQJFxZOE4t532Zv9rjVXXfMu1PnI/u39rroTc3o2NTuEaBKiLF4wNNK4HfvN8CuYsloxrjnscWmoZfOyx7m9amgbIJiy1Nlu+8/MoguXl6a4xf3JcRCY2GVDdfrvp6H//HjH9nCzPJ48T13DPEr7NEdJWqDdu7D9T56MG8Nu2fUtELKfLXxwRb3r2/zdFxJccR1n18vtMxAuqCBDujcGguH5yDH1E/32nNYbMvQZnu4u8TnDzZpcPbh5bHFYKOYrAE99HErtcXDEALEKYw9lqrM4sKwOqXVaZsWJVsObRNF0bs8XkvsnsdHm5m6CcdlkDpQxW1IN1Bf82LWKCemRWxnk0KNh8f65/Bv5pCsj15CC+Ggnw2Pi5zPggCTdv9v3gzsv9kuuS+zN/5q38WYFwzWsms5RIrQzaZsU6Tcnnc5e8qJvzo64s3hJiXVu0rdV5ba3MTdo7GnXlef0N2dnd7Yf4ZsAfjTrLlvrWLI2Ivgzl9bOVlfoi93Gnk1y0faht26ee/f/piHjopArClcCAOHQwg9mtW8W0MntgkHxeeGbcDr3MkTLZDcBzHJs8GnUM3y4m7kdQnAcAmzd0NU1hY96Jy/9u09pa/azyDGYWUEc1ZTDj+2AQ8aEPlbKoo338vPrRQEY+Fy6UdQzS6mrZELa1VZRgBolZk4hkhZ3XRGqTdhoLrwF+vt/lk7ffRzAPw6+VayVmBc/3lZX9edfcVLXf23a/i+GJJ8rLb/K4t23XJoetrq+XEOecd1a4fllODfizAkXR3LxZP52UTxOA2nz3vHffrK7268647ez0I7rM8Gvzpeb+y1GBPM9CeG6H+2Ce12TebrojUTpt27YRURXzpmm+tmmaR5umefS6R+EQKYcgNk3ZvUfHOmokMxmDEhraC73kzcA5dG8y6cfTZ0FGeLAqhsOyGETeWBVra0WI2RGL2Y1PPqJbrF1aKpZL6ee+UrLioQ0RZfJmU5VFw6bp2uT+8aQh8sWAT/7cx8Fynvy2cLyIC+DcuFEWr9fXi5lOGzx2bnNm+LY0eKbmd80MH6KQw2HddzUFZrfeNN/7LHZrYKq1iZM/WQsZDrsxALBrDJ8D8GppMin9TLKssShvAM2x8cyHg9pC5Fm+166bXHcURY2dG2w9PtOsvBrLr60D1cYnA76txBs3+q5LWwXMH/cF/cvaS7bomDMnnU6yiGeapnk4IuLZz2u1m9q2/Z62bR9p2/aRq1evHqkg73g1sIxGBdj8ejg6u7YQZ5DMjHsy6S8mOsIj+z6z4Fsp2cUUUTagwGz6/VPKIhrm8uUC+LxYBSXiF2QwUWusOC8ych2QJQqBtnjCZj9t7gNPxgyQvH+AceJ8cMasxtZqbNBl5Mlu8Ki5gCwr7hf+d5uyDz+iY57EgdulBCDTjnkWO51q/ZrrBHGxEvO4Ekq6tlYAPSt8ACfLq+UgW8m1lAE8j5eVXw1Ml5enr8lM68MakGfwn6ZYV1eLC9KuT89xr+1NO+/KBIRx4V0azzyzv+3+9PpVTe5OOp0k4P9YRHzVs/9/VUT86EkVlEHH4EmoY44SieizCwsJA+9nLHgWUsC7Bko56oNneQZzdXm5v+5gYTK7wN0R0bcyrlwph8fBFCxcmd3mCWKTlefPnds/GWlTBk1/xx2DEjYrZ2LAILnXjKemPN0neRLXfPhYSYxLXmz3p/vF1zN4uI0wVsoyeajtPCafGjBl2ctA4LrQ1qxIXRcvok8D6lpfUBfyzutgLLbn/uOTUMbcBsfz10A6u0bpD9izk/30ufy8TlBzu9EGzmWqkQvL0rT3O9j9ijXCxqkcNefncn+TyL92COBxp+MKy/zBiHhrRHxc0zSPN03zP0XEt0fEZzdN896I+Kxnv59Imky6QeT1bSQmutm1N1plLc89CEBm+Jlx8Rtl5kVQC4UF2r7NlZUSoUGyQFjhWKG5XQC/I3lg6947kPvF4OZJv7BQooEyGLjfKNsTyuGC/E5f4LZiEZD34nqzGWXRdveB3UquizdW8ZvZu5VO9r9mgGrbEskVUY/CyfJClIiVLb85383N/qKgw2FzHTzGbHjL6z/jcdnwRnl8PvPMfobPffRXVmo1ds2br9bX9y8qus99jIbzwo2RN3HVyEJW9pklO2Cg5mKjD2/d2n/QHvdCBvKaTFYctImy8lzh2Sxn5FFj+LWoQP9+J1w6x7Lxqm3bL5/y0588jvwPSru73SIiOz9tYuMvxoViEPOLT/KkMUAjhGY9LoNJyfHDFp4MPnw3C795c78lwPe8icz5RvTXGljYW1rq52dAdz1ym0ejDoTvvnv/uoTrPhqVTV+uy/Z2ee9qRHcPCoT86TeY0O5uB5j33NNnRHmCbWzs71/KZAMYyesdtDP3gccFBYY57/cHmPVlcOCad5Xa950BPyv/3JatrW5THef+MNYoLLeLvnOEVx7P4bDL7957+/U1uNbGeDIpcefnznWyYBcfeTlZebitORiBfqmtqVB2zRXmZ1EU587Vf8fCnEzKWhRKE+vHMoGiZic38s/cHww6K/yBB/oy4brQlsGgC0rI1z0uWcFz/aP1+DexAAAgAElEQVTdh3/Hkv3VEX2hY1AcFcJgZ7OfZyOKMvCg8GatzOD8esTMmjILyAqAmF3a4c1dtUXjDIooONcx73KtMbnsEmjbwsaWlsoEz39eeyDf4bBYWOS3sFDO5adtLnd3t1t/4H4vCtYAzNZaBlHq4LjnLBcZ6B3ueuPG9BdnZyboewxANZcOz3KWS03p2HVlpWbZIR+HkvKmNtqe+8ug5jbkdafcxkyK7FI0SSBlFlubR/4+GHSBAbWjhbOFYfkn1cAyR3NhkZCImoIcZIVtubPC4TpuMlvwzDErs9GoWLjZ0qNdLpf/7yTDPxWA7zMu7FM3SEX0F94QfqIdLFgoh6YpJxX6dwa6xuA9gc0CzCaoI6zi5s39Pstp4BKx/5AvQkkRNG+4ykyOfsgsC8FmMZI+8znlBku3ZTIpL+CYTIqyvHixsEP3PyBw7lxXd0IEDWCZBbssh3vST1tbnQxQjtdgPFHdr148yyBAqrkc3J8ef5ilAZf21M6luXEj4gMfKOUaoL34bvcS7kDv/KyFmvLd+0oAJQhQjZzkdRLkBKuntoiay+S73XlZmcOavS5ghm+yQN84pNrjgpuW5/PGvsmkIzHnz/fj5D1O3Jv7mzUmIujyC3/cD9PGwUqQDXLIz40bJXT6DPDnTGbYGXyZkDnMcDzua+Lsf4/onvEmGlxD5E9i8JmMBseI/Sat32HLIV9mPK5fzQRl8YkJuLtbXAq4sMy8ahN7MimMnt95GQwKye4mWzNWahHdd+p/7lyfYT/nOWXy5kVBQHk87urBzkMrZtpAWdQ594kXDfP6RgZ8JjWH0HGNPszK3X2G+w42CKEw86MNs/qetni3q8fh5s39QJjrlRXocNg/WM9rJqThsBsPNiu5f8fjsnvbLsu27but3B7XBxZs8MxlGNSz9ZHHyAy/beubxdq2v4ZimSC5DNqdz9HyuFip4fP33Gzbeii2y6mtD9FuBymg3CPOAP9QKYOphWpxsf/ibkDA8caO2LGpyeYllIndJ95kYZ8xyQyHOmZFQDhXjhgaDApzsRJw+3yKZlZuBuUa8/PvCJ5NaXzx3txC3+TYaQAfV1B2f9VYHr5hrnvRz9ERNSY9HneKEmaEEqSuHgOHSfqaJzd14jA5j1n2uyITHF6GkuWe2hvDyCcvfBqYDK6WFYcJ2qVT29G5tVX6IY8P+Y/HneW1ttbf58DGIOLz3X67KjPDt5IyeTCgQYSefrr/YhqDIs+wgJ/fKZ0tB65NJl1bIAtZtrnmOb+7u/+1hh4LzyX6mbZ4nC0X/n087tZOsHprCoHkt22dAf6cyb6zvFkIAeFAsYgCWjs7pZO9O9KAD4jwHIK4tVWELIdvZiEwAzRwRRSAyeYhsfm4nTAv8/k41MlCWvPh5wngOq6tlY0kJMd7O58c3gpQtG0HJAY8WFCtT3ihi5XIZFK2mBv4HG5K/bk2HPbf52q25L7IzC8DufP0GE2L0nE4ptlw7S1oBiHXwUCSGWbuL/f/zk6fuXN/fi1mDWCyMqNu7DK1O8kKdBZocT23z/eT52DQP+Ooxp5JWLBuS8R+5u/xrd1Pmxnf/LzHy1Y3fVsbp+w29msasazAk2yJWSGtrpaIojPAnzPZjCbuPqIoAoDSvue1tfIuWyZujVGYrbVt5we8dKnvYwRU2NBh8z4zfL5boVA+dcTkxH1Am+wKwCzMTBQ3SRZuA5uFkGczs8ZtYVCg7jzLAVEoPu8uJOWJTFnnz+9nt/Rz9q3z5wVjr2f4qGD7vnd3i+IycNUiZXDxbG+Xc1Hc1uwaMih78udJOxqVRVvWWWCZljHLh0lHXrh3ne3Dh9B4bLNPmU+z06z8GXMWOK20MpCShz89xzLB4fnamlZE/4RKSJVDgKmj33GQiVK25ug3xs/sPIdJ0jYCKWzN5vFgoyOEZzLZf25Trp/H0e2njI+aOPyPdALAd3YKEAOiTDB8+AgDLwq/eLHPIi3AmXngLqlNTJRNZlPZYsiTucZItrfLoicbp6yM7C7IQEp0zDTAd708SSMKQ9zYiPjwh8t9nI0T0Qc+g643U3FfZruUNZmU99u6jjUmzhHDbVsmmSdSdiHQnysrEU89VfLOgJ8ZoCejrSUD0spKf8+A6wprrR11wXjBojc2+mfh1MY3ogQjsEFtMum/DN6AD/DcutVfFKy1MbtEbNnhWsNNCfhlpZOJUT4GmcT7BLKbKc8D5qoXZWtMvm3LSZM1eZ4WO4+VbwXNc9SRuvjcG4e92l3IeDvU021z/1K+f7cisGv4pNOpAPzd3c5n5tX6iP0dabbN4JtpZnO7FmKXBzMzxgwsNYFl8Hm7kMvGReHQSFsYJAO+QR1XBqY5gOM6uP4RhXnyvFn2eNwBztNPF8ac1zsmk2J+X7pULJQcLWRgu3BhPwOya4H6YvEYpKxI82RaXy+nKG5slDG0Ms7HBmQWZjmxYjA40kcoWawP8nYZ6+vlGOus0CjD/UN9AECsPFw5Pp00okQBcdxGPmPHMhjRd03aKrDM0LdEqfFsLdooor/D1+V5jYRPwJK1sdwPWbYycSIKxzKclaVTzjPPd7ux2racZ48iysptPC6eg5r14/UJ6oh8IFdPPVXWdAgM8YbFk0qn4o1Xi4tl8cMd79hqx80CABEF8Bk8Ng+xsAiAI5hmcAyeTTFe9ZbTeNx/S85gUEzWmtm3uFg2NzFJcn4IKIDn2PfxuIScXrnSZ3xm/E3T1YOzhmwdUaYVAv2JCXvXXcVKMhisr3cbWKj/ykrpy3Pnig9/ZaUAJjt1MadppyeKAYAx9RoJB4155+vCQvGn0gbCAs+f74+LGRn9WFuQj+j3iX/ndYyXLxcwyfHvllNbFXx3W5eWiqXqcc8uAuTv0qW+QsgWhP38nC2ztVU27LF7eWOjawN1vXChbi26zl4MzQSK++xu82sy2XlNGG9NZrnPRMzvna65sSgzH/HAnOSaLd3z50u93B6+e79M7gOPn4mayeH1613fotBrIa8nkU4Fw798uQv/W1rqAzuRLn65CInJ6kPH7KYAjBEMAwICw3NeZHTYVURfyfg7n1ZSLn8y6doDo8nsKQuamUh2u9QUitkUitG7Ire2insnKwhPPoek1thStoRQXrxcPE9qu6Z43usTbjtjbAaK4rdb4/z5st/B/cN4eTyzn9dsP9c1uz/Y0u/ICya9SUMeC96wRN3MWi2bVmp5oxv3AdZcJx++Ez1C+VgOlOUXhNtCbNtCbLI7jH7HqkKObF1SHnMyKzeAO7/Pgf8nk+K7R6bZv2GZs+XLHg/61flZnj1O1MVKkedHo+JexM2WFYHntpVeJg81pfFRc7TCRzoR4gdQ0PEsvBmAvGsOMIgoAwYgIYi4iPJk5QjfiL6yYPLec8/+iBYDIqm2yGWGieAuLXVbuw3K1IlFQTY5UdbWVlEoFuAs7HnheGurE2ysEBQYAG8AyxtRvHZgl47PdWE9xQr13LnuO6BiBeJJt7raXzhjoZw2ACZm0Bcvdu1417u6ZzlriPqsr3fslbyRI8bWY2GFa8bIvgW3E9nLChI/e2ah2W9t9yB5WoaRb7s2GE/ydcRWRAealy51eZ8/X97VQD62lFnApU/sYiRRN1jq7m5HwDLZsIwBdt6zUQuayJYEUUTU1Zac5xDRdyYnGYDp39rccPu8Xra52S3ob293BJOd4lZOrGFldyZ5eYw8XzY395+UexLpVAC+/dYIJW4ZJgfuGSYloASLNuAZqPPBXhF9Rh5RBm5rq7iILAQ8Q35s5c/CZbZhljsalU1fgKwFNKIf7mZgop5Z8KmTo39Y3KZuKFFHHllJALq2WlCatgbwzbdt/5A7KzjcSoAFiou8eAbX03hc6ueNZpubHXhzH+1AeV240B8TGKKZLHXPkRmMzepqV8+8LrC62t8bwHhYAS0t9bffR5R3C9RcOhlcAUuOCrC1giWbF/Qpn35j/CLKOft5/FhL4eXtyCD1m0ZkzFprgQNWIB5fysx155O6M0chV964trpaCAuyZLKQrWOvVVEGv+dIJq5785kXbW0tOZnA2XLwmgmK9k64dE4F4I9GxRw044SZGvAj+m4fFrpsDiMoBnoGiwUWA7qZgkOzaguT/D8YlK3i2SUSUYDVkyNvInJkEUoPcCNP13Frq/QL/v3RqGtvRPd9aakoRCKS8PEyEVxPwNbKyW4OK1KHeua6waQYC/u1YeHnz5f1Ak9CPu2Koh8MZkzK++7rr1egqCMKg3bdkBm7yhhD+h4QYgd020Y89FA/gsPAQnkRBbwB2+zSIVE+JAR5N7BjgTEWKE7qu7XVlefjLkwSGB9ck8gZVjRKKMu1Dw/kuxk5bWGMbdlS1vp6H2jdB5AFyJwVjZWVxzqTIo9BRHH30qeXLpX25jWjiIIxyLZ3u9OmtbWyLmT59DHlllf6um3LutZJplPhw2cyZgG3OWmTzotodoFkJuuFWmt1m58GLlwVZmrZZDQbM8PBB2pGYEGFYbEb0m+TgsWeP99XdFlp2ey2H5f2sNhoC2My2Q/4gEJEv57UlfJQGOSVrZlsto9GBfxoMyFz3ntg90dE30KDgfk3j5HdIBHdBH3Pe8rr+7a2OiAYDvuAlcuxcnN7AFCPL8+agJi9cy97GpAbWx3uX5gou1ZzfsiTv9ua8nygn4kYs5uK38bjblx4reZ4XIIT3Ce5fdmqNEAj74C95RS5tFJBGXqjoucTdcRnT9/XFtbN8JFv+/qZfyYstsB8lpEjjaw8vIZB0IJf12hZQZ5MAk4qnSrAt/ntyWJfpn3SgJIHljys4SeTsskIH6dZGP8zGViAMuMhZfZmRrS6Wra71ywIH5nQNMUEJrSLiebQPbeBZz0xzDDyYmtEAT2bxp4st271zXb3oUP+YId+NR/9gM8V148VAQviHifaRD0cKmnLxP54Wxl+nklHf+EmQbH6yO2Ich0AADxh1rA+wjAN+LBrW2a2KMjLrNWAST60NwcVGHh80BjtHQ47BcE6B+NqBZYXIs3MmUcGMurktS72GJgUGcBt8bjPkUdbjPTbaNQ/6ym3mUgs71Ng97xlzZ9WkuSFnHoO+l23KG7G2fLMPGCdgjo2TReGybsF3HdYhQ66OMl0KgDf4Mzk8GFk9htaYAEigBT/uBkd+ZvBWGB9n3e4ml3YTLUPlXIuXCi+ZSZaRP8dtwYc8kN5AeAADy8+IdkNQR7ZjWQgoR4oLkcU2GR2W+hXwIT7HH9sRewyPFGY1GaOrF+Y9TKWtkrwgxJeSBkLC12+vETE7NduC1xOtpxsqQBYlMMfC9R+YX224BgHA7QZt11aXnQ1MPLd6zX5SGiec3n8EWqJrLh8M+L8vGUy54tce92GcctyZwVmGXDIbvb7Q2CQKxRtBnzqZZ98rV7UByvDBAGZ4lkrBvrYY2f5p81YA2zspM5g0o0b/RBhW7Jni7ZzJhbzPGGIhMDnmxdNAEu7g2zKmUUgKJ6MHhzuycoksyCS8+PTRzwgyJjY1AeW5vrxt7RU/ojtvXChH6NO2eSB++TuuwuLiui//GE8Lq4GgI2J5KMUiFKBweQzbPIkJ3lB2srZv9slwPPO16A5Hhc3ncfQTN1KFCWHKW5LIq9H2PfskEB8+A4HpZ4GfIOnQQMryi4eFlPpW64j103Td8Pg13Y52bqAgOToHkKLUdx+zusqJglZKSBTEBLk18y95uLkfx9AZxnIYIvrZjIp+zysEHHFLS52c388LtE0nn9YBD5OBALIojgv5aE+2aVoIhlRXJ8s3jrkmz6w5cQ+BEKf74RL51QAvgGC/30OuDXx9nZxQxjMAR6e94vFDa4kBDyibwl40c11ym4OC/Jk0t9Z6zwzQ8ntJSolryUYIM20PFlxMVy4UFwNfrtRxH7T3mBoRQTjxD0DAK2vl8VgAxL12Nzs6vfAA32XAumpp7r6EbLJpqI8HhH1xVYrykuX9kfOICNeqGYxDxBE0a2tlRfGnzvXMdONjf4mHeeLAoDlecLTD7iUTAJ8mqNB1i4yhzRma8aWKOXALL2+YNnHkltY6NoDecFvj0vF49e2Jc9sPdMGu1vpd+/dQG7PnSv96zbzlxUjcmKFzDjzG7J1+fL+eYccZHcZxCVbOoQAG1M8Lzx+tNPkjXdWWEngjuUE1Ttxls6pAXwvvgI0uAa8EWRpqZjE43ExwRkIr64beBBM/Hk+mRPWxA7A7ILJzMsADDDkTS1mgGZVthpw5dR2Jub/3aYaw6Me7IKl3zY3+0wK5ulJyWR33o61HwyKm8WmcEQBFLNn57u21u3mtd8bFw0bqWgrCoPTB/P18biwqBw9Q58Ohx2QkwcgavYdUVgjYGPLh8TJn0TH2GqiLwy+Bs0M8EQXAXi8zIN7ISiWM/qK7wAmbixbHCTvMs1MPgMc8msZ92F/a2vl9Yo7O+VYZEfMNU3ZkWw2bB8+5WOhrK/vV3bc4zlJ3+HGYu6gjC5eLPejmHPUkz+R40zs+KRfcSczt7IVORyWPQQcXYFr+aTTqfDhR/RjmiOK7xchwPQlvOyuu+ovCjEgWcDZaIXPGMEmDyJgHC+MK2R5uT9xrl3r+3MBJACSSc3iK4BC/TDrI/b7LCOKQuI7x71mQbZpinDCpA2UWfkAQChZM0smoyeOJ7nBaDLpgHVtre9+sQsDn77HhzbykhD+CKu1tWLrLLNem+M27QFHvlMf/L4A65UrZe0FWXMbAYC85yD7xvNa0+5uN8a2YuxKMEu2AjEI2mq1DLufkQGDJK4qg71lq/Y/smsSwXyxzFgh2mJ0ZJ3rRpx9PjuHHbfcT355ncnMu237i+nuN+QmWynjcT/E2f3r0GwYPNagFSr9S3mAfI5qYo6fdDoVgI9wo00ZLCYFDMsbXAAgm4MMqkO/Isr1HMWS2Q6RGrAIg4MBywOefaDO9/r1EpVQA+CIfpikWZbrystCPMmpU0SJEtja6u9k5T4zUrtufE8+oTNiv6lroCcxIRw3T90c4up+BnhtKdA3GxsRTz5ZwG48LoqBNnj8vG/CwOTxALAd4WWr0YoU14M3+KEgc/tR9gZ82uKFYSsnuwCpB3Jgt56jpVA+Pj8/ExxksWZV8nxmz9Q5W6woF7fJypZ6o5ivX98fPYVcj0bdeBLx5rrYQkMu6c+sDLkXsPaRIchUnh/4100KcBP56Gbv4eG7+ym3fTIp7lSwy96Fk0ynwqXDhAK4fKgWAundeeNx56bwZGFQrWU9OWFVTAZrfsDI5Q0G/UPCIvb73v1aNspGOEajYlGwIQShpZ34pH2uhxfJyJNFpGkLbvnMIbeftjtPbxyyKwLQyBt0PCa0j/BAnsfE9ToKitqbrczQ3WYAHuvCY86xvZ78Vqy0ye8u3t7uH15HWWzQcT6Y44Ay/Yjr0Ec8I5eAXtuWxTsrk2vXiiK3Hxxg9KF/lnGDjMvimGXLtYkM48b6C+M+GpU1FBRePi4ZUmWLyXLj9sLWqTOhjVZO5EFI7l139a2OrLiZW1xn3ejee0sbzLapW1Z4tlw8Ly3HDmhgjpsYZWKDgrJFA3agdHjuTqRTwfAjCmthwSWiP6Dc44gGolm8aIZw2i/OJ4olC4f9kZklkXZ3u0mHcDlsMqK4m6jHYNAB1fp6McsRXsr0UcWuJ6cH+tiAzLTNfobD4nZC4WVWwv8wL87sz8y/bctuXdqdz7vB7MUicxy420k/2M9NMmAytgZ0AxB5ebKbnUYUcx8XGs8Q8cUOa8DKIOI+8+a9vAHOYwUQIDd2F+GWok6WEc6Wx99L3zIODjHOViG7kMfjrk3e4EbdFhe78csHmVFn1o1sedG32T2Y3VQsggOerIe5b5BLlJwtsAzSlmnaQZ94YZ46EKefXYtWyMiOLYrNzf4Cvt1P/vQ6EOVev94/NymiuI/W1sq99M9Jp1MB+AB5RBF4zEV+ZwBgEwCJX2vIhInoWA0s1gtpCA/anucww2ERALLriIBRB/vKrWwi+oJtRWDQyKyVP5gUUQWeIDliiHzZ8GVF5w1N1Akmz33khyJomo6R28UCO8x+cvrM54+Y3dNHXLOfMzN190NE37frv8wOMxh7wY06AFi+Bjs1S8eVxxj6IDUrHPrUG+BoE7JFXcjfezwiCgtHjr1mYpl6+uniXrHCY8MQJ2/iZnQe7ivanJWYrU7LgGUHdx2gaVmy+8Oy4XZE9ElWLhuFaReg3UzIfiYFtPHWreK6sTsXyxdXUV6ncFvyfHG/+PWRRAH52BKuWymcVDoVgM9gGoDNsgFAAIZJjV8TgbAQZRdCRAFGTNraZiBHhBisAA6sBI5yhukwYRAkAzUWiaOJSAiwFY8jBOzG8Ys4IjohR6CtMJ03ys6WBeVlE5xJSQQL+xwom4lAPkwkT7KaG8gWWETpR9itY9ZR5jU3UmZiTEKUo91xsGnCTK0IyO+JJ8qah/chICsbG0WRTib9nZkco5yVjt0i+JBJXkciX9Ze+J068rrGD3ygHIGQd95CPhhfZAD5IvTTzJVABPrMysWylkNNM+DbvYE8+Dp5UacMtjXLlfnh/RA1kmTCw71NU06JRUbxs9Pf1MEeBM8J9wG/0xfUGeVHHzuM9E64dU6FDx8fqgfSHY+QmmVjsuJmAbx9BEB+rR9RMw7NQyAMuvxuH/JoVIAbl5H9vj6vJqLPEhDa2nnh3O8dgiT6gf+z+8eTAoDMVgYTYXu7813DWm11eGGaOG4DAW4RAzsTwKBhC8QgzXeHb9p6MZhT9+Gwv+EmK0MYNlFX3t1LnVZXyzqJ2Rx1ZN3BcuO9AF4ojSjhgRsb5QCzTDRsTUJUauQCCxaZQY4YC+puVm4Li0S7DaaTSdnbgcJBRjjA7J57SginX95BGwBf6oiF5/BcxskK2Otqllu7rqwUsYC55nBgK9OIvnJB5lBiJoVm+La+rZB5YYxlZmenIwHevc0nrmDy8b4b6ncG+HOmHLPrCWLQMJOCFTLYXiHP7huE3du627YTdiyELOjUC6DGfDZbd9goSiAzJSsMNn94h6tD0WBdrrNN/cxueA5BxHWQzWXyXVrqNkLRvySsKEcb2CLZ3e3Al+eY7AZHs3++U65j+9koxkK03TN2SSAHAED2u5v9AZ4+kgF2nV1IZnMsvNuKI2/KJXzVbSTG/9Klrm2cS29XBvfborBfGkuMvR8Gi9GoIzJ3392d224AQyYpg92mBtG2LYBkZUp7mqYcm7y8HPH440UZA8AoZOQewGbB2wSJY6uRIYPgaFTCMy2/Zvi+hmwzV5F7zym7X73pyaTI44Ui8Ry3AsVrwHobVrTlknL5zvuqTW7uRFjmqQD8iNJxHpiFhe47r2aLKKDjicsgY0pG7HfTRPRjmtfXu+gBCx9ChI+bCcJuRMAOlsQA7+6WvKgPE5zncDNQDwOdzV92N0b0wwjt/40o+bqtEX1AtnKgnjBaT7DxuCx4skszYr8biDwp38DLGfEAAq4P7qNdDzxQ2gqYus8AQxY/vVDoenuioZwYM+TEvum2LVZi/n1lpRyFDSvkTKO27eL1rYC9iMcuUK8XmOEzJg6zBZAhA+fP9/3Fll3qSvnICkDmt09Zpq5c6fLl8DGzf9xVuDYdk27yQb1h98gSxMCWM4qJ35jHeTOTx81uEuaI20L/E+Vm6wiSg8J2hJz7yP1ieUeGcW9BnHzAoa1zZN8vkXF/gj8nnU4c8Jum+WBErEfEOCJGbds+ctxlWDPatcPiiE05JiSTm8EgvMoMF2H2W7HscmHgmGRMSvsdAXZCGQGqrNFzDK4XVQF4M04zWRKRM6SNjQ6MfM73ZFIYiFkZ5jZ1xUzPEQ9WGp6ggB2CjpIFaHJoKROBNQr7fG1WZ5cTzw8GXR3vuaeMjZU+bWWnp6OgzJzzpGM8yWM47PoQZednARC7jyaTvt/f7H4w6GQA0EOu3G/UwVEvbbs/ZNUAxXEh7B51VJTJjV18dvVlRYDMeo3GAEidmT+MF4SH8eIsK+qA1XPjRplrjE1eMLasMafs7qKv+WyaTvktLZWQaxj3wkI5d2hlpfsdN8zubqd0rYxsEVsm7E6aTMru+s3N8t5o8jSoY/VYERgnSHcC8O/Uou2faNv2tScB9hH9RR77W83GvCruzRQevByrzqBkdmLmb7OPsoh4YNci5USUiepzVuyHtdVhhZEF0syUdsOIzFjy7komls/fgZ3wHOFrrrtdQGbG7Ai1iYuLhx2jLEoDQAZx2kSYIBE9tkrcv3kykh+ATOQV44gSY2wmk3KWkvvRbiYAiNDIlZXCnh2JYdlxpAjyQRvJlzLY2m/WDjBAVBxlRr+bKNgNA9DiK0e50D8AjC0mK7gawOEXHwwKi2VsUUi0i/wgCfzP3HE5zD+7TpgDHm/Hu9Pe2j4DyB3jwG5v5jj9w3XvRQCYUQgmHX77lmUiW9dYSdzPvQZ7K4rsWqLu6+vlvcYnmU5FlA7JbNhMFMDygPJ/9vVlk45JwO95sCPK4MGOfdYHE8PmoO/n0+4kJilCy6K0feKul+sMW2OycoYLPtW1tbK5xiwVobQvk0lmpmkA9iTmulm4faWeBCgKANQLZzwLSzUoe3JnRWufPomyIvouLZvT9J/dKfQh+fpFKF64o88c3ZKjTmgfdQGUiQAhLNLx9raC6HPyZswYI/udkXFcLYB2VioZMF0/7sMysYuKdQPAlXh1r2NYpvjueYCvmzbZ5+5oNYMiyW1xH1nh2drO4+vTOxkLMIP+89pRjgwycLP2wbuYHelm9s6c9V4aZClbKKfljVdtRPxs0zRva5rma/OPTdN8bdM0jzZN8+j169ePVIAFwUwXBskADYeF8Zn57lW07WvgzC49SBH7FxpRJCwEIcze+WnfJfkDvjBsL/LAtgy21NHlRhSrgt/samEyuE1evM1WhcENMDV4slBF8joFk8iAn88tunatHyLKRHU/8qzdZdkCMzu1Eqb97iMDKFYf/1sx0+7FqgYAACAASURBVNbFxXKmjt1MAALskH7DBWafPEBgcKMtHGW9tlYYvS05+ph22ZKgH8zWJ5P+6ZUeY5SEwRiZZ28FdY7ovwKxaTrXzIUL5VleCLS83FlArJlZnpBJH2li4uCwW8qhHZbviP4xJIwH31EW+XgIyzzl5FdAQnJQ3J5jtnjcV7bsAHLvPrbSy5a9FXh2YZ0WwH9d27Z/OCI+PyL+atM0/51/bNv2e9q2faRt20euXr16pALyIotNdMx8d77Pjoe9mfVH9IXEq/Fmg/Zfe3LDiiL6zAbABxQ4Yx7/tkEMJeWJkU1C2upJ4IU+2uAJQZ0cfw/AcK+ZMHWlHCaMTeCFhe68Gh8PwKJidjHZL2w2DODT52au7nPcIZmRuk9ov+WDfBzhlCecWV12C1oJ45bA9cRrEdkZ62gW6sRkhlmyaGh/L+4Txh4XhU9ozWtNjA8ACFA5xNGyUVuPYdw99vl6Xth06CprFsgtnxAr78EYjYpyQ7HCkG0lLiwUq8eumUwyqIf3UZjI2FLwnMnKx8rc99iFma0W5Imd5Wb45G2CUZvjtiBORZRO27ZPPPt5rWmaH4mIT46It5xUednHDUj47VHDYdlJC3gheGYaFjSE1czDg9q2JfomR1zkyAt8ogg5C0skQM+s2WVF9EGsJlAW0uyGYO+A2+HJBujRT9yT70VIYcowKPs6M5u0eVxz2TgW2pPVrhvYKArMY+P86Tfkwn2U+wuWSX9z/2hUInBsReKGiuh+B2BHo/1v3PJ4YW1xPpBf/sI4sf4BgPjVms7TLJO+zqDOuJv5ItOXL+93nSFnduVZEbu/OAMooh9MwDP0k8lGbS8GxwNnMFxfL4pyPC6ySDnuI4A/15s+8Nymn7x7F+W7utq3Gh3J1rZFIXtzF/n7aOmIQv7or7xuwbMo04/645GbprmraZrn8H9EfE5EvPNkyuoLWwaaiD5gu4MdpRBRhNHsiYnIIMHWyR9wiOgzcQQStoCPlXC3HMbFvQiz3STZirEJnj/538AJswc83EdmLVYufhMRedtnicAyeRHkfL6/02TS99cyNu43rhnAIspGqezK8Ngxvh4fj1tuo/vMVhDj7XfY2kRHSRBrTrILwIzZY0udiRbz+AOSyCvWAkrIQETdWTClX2tK0P1I1IqVq12hnPvu32gvYGs5Msh5nhnYsVLs4vHv3A/R8djl9YpMEmi/3Vc1K9CyhgxBDuyKswVvi5dnWFjn9Yz8ni2kmzf7O5xN2Lwoj7I66XTSDP+hiPiRppOGcxHxr9q2/emTKMgRJ2axDD7Cjc/u3nv7C7cRfd8aYI2wRUwHSYNlxH7zEUHwpCVEz0JEXlmwvaBrZsA58gaLrOzMxvOuSgDHk41NM3YheSJYCdrf74lrQbZbwXVB8eBiMYjBHrM5na0WR2SRRqOy09e7X83qKcMvvAbYrbQNzNk3nYGAHamAIhvs3C6YIH/jcVn0g2ECXKurfbbK6/qsoFwfR4c4csaM1q6g7e0SSup8Fxa6OmWSYcUM06WuWTnQbi9o7+yUvRbUB7ZsQHZggi1G+tYA7jZfuLDfMiR5DJA3Wx0sSnsuun9ooxUML7bBsmNXcyYhMH/msucac5HfPurfeNW27fsj4jUnWQYpT0QDA53ugeVog8xM8elH9KM1CA2zUHPcwGhUIiJQKl37+8Js7b67W+KBt7f7rxXkCAfa5RA1KyV+M0PKAMNzgIcXDgH4XDeDqH3vbdt/9d7OTrdhJqKAIwohA7kVFlaL/cIewwyUBhAzVn5DScLEURZW9FbCKAAUBkDjto/HxWXh/oMIUHeSdzgDaH7PMnl7xyhyiJxSF/vqYfdYFPSz5Yt8zIYzebFbjLHwcdDc68XoPP5W7MTYMycuX+7PRcYP18xgUI45trVbs4o5dgJLgz7HtYYywm+elZOJh69B9gjhjSj7dBg/5MXvRaZMRw/RN15kt1XCnOVETK+FkZw/dTnpdGp22iLECIHZF746a1QD83hcwgL5blBEWPKCTkTfj8izAI5Pw7RP0+fgm40xeQGEaaFcNp8tMDbnqafrawZCfhm0VlbKMzAUuwSsBG2t2AzPJnq2ogAyFI77wH1IGznueWenvA4vm/yAB6yQ9vBmM1wQuNOs1HNd/X4B6pNj+ek//hwYACPEh2tAcvhp05Qz9+lP6grTnkz6rxykjciCGXZEWQPxYitjh+WBXG9tFaLi/BkLu4Toa5QofWISBPkw0Hqtyq6WrOTtinGghMfYZAXlORiU9RDGwFa5iYyJhxeofSw278uAlNmSs4KlXxw9ZKuKulLm6moZA4e3uo2nwaVzRxIgiosCgZpM9puNEUW4AWUiLwitgukgzDzPZGKSmvUsLfXD/OzD5mztvCDnRd3MHnjWoG2zczjs6uGXstid42epnxWLn6POTOaa1UDdLbBt29XB8f5msuRJ+WbAAH5tQRSG6UnHeFEW99qnzMR3XgYD4t8BBPoAPyx9aJda7ofMSEejTgkZbGzN2HTPcojCo5+sOBcWOuuRcYvY71aJ6NrDjt2I/WGIgJndb/TH0lL3rBcvAXKsTEgH8rm21rek6EeDHHH2jCUKFPJFXzAX6WMrfY+jXSG24Jm3Fy/286FvURyeq56XtJkxrS12M5Yum/q5n/mOMqTPUdx2m/l/exDuBOCfmo1XDHREX0C8JZpPhNfPZnMdACM/n6hotmxwIm47M0h8nfa3o/0ZdAuSt9ADBm4fdXY7XB/XO7NfK4GIfoQNQufoF09O2opiBczZqUgdqJv3H/g3lN7ubjmzxXWizZTNBhdvCmMsGTsmGO3zZIMh42+FlRE26F2e7nfLktcMKNf+cBYkYefu5wxe5BvRP0zPwEdiPcLyavbqvjKYWQHR53bVePxrSorFxszwOXnW40nd6B9fc3970TcDp+U4oj9WJCxkEvnZ4iQPs3zPi1roJPMDxu6+sAVtS8iWP7LgNiHzjvrJ97j9eX6fVDoVDJ/BNRPJkQqeNLnjrW3xGxrUmfAecMzlpaWOiRFC5okbUbR+ZisWdBSGX5KA0JkZ+tmIcvpmRAE9THmb/bAxL4BFlGtELFHn7BbyZLTw2/cJkzLTp4wLF4oP03sK8kTBUtvaKqcx5v5y9AW/0878UgncP1hkPJddEo4vd/3MAGtyYvDk3cMGVaw+x4sjk1aW9G2O1skKIit3X8/rJPQn33GReB9Ctnidt+WE57C4aG/ebEcdbOXSrzkM0gqMcrlOXW3BkdxGlIJdn9lCZvzG4xIZxwF9tMtHWLuOuQ/c3/4fi9XrRNQxu6dsrXmu83fS6VQwfBhNRBE4b+SxX9IsG8DLDNuxs84T4eJ/8rt0qbsf90RWCtbefg6g5JrBzAunZp92Bdn3DYCOx/1NN7ZeDP4RnbABhq4j2/5hjbTXLiAvSOZJDCOnnx0KyVhkkKb/HWJnALbLzWNtlk87sLD4cx3pT+ruBTUvzJn1rqzs95tTJ/rF1kUGKAMBZaMgvMuTtnoBGQuVa5nQUK4XuA1EnFtDv/vEV/rSzBiAstJumv5OVvLy/dTBDD8rZtfTJAZZpD3IgBc6PS8ASVtejvCiPGSad1tkOc95WtlQpsmACR9tcD1szeGq8/zO+Rgb8stuTiqdCsAfDPrHvEb0WQr/u6MZOAYgs6rsVjCDsDkXUVwGmWkYJGxWU44/ER78ktlnaTbGp5meWfmNGyUEztfdJ+TPdnmX512LPOfJFVGiGzwZDWqwJru2DJacosikzn3KG5so35OJNsDQiVvH5YbCI+zSII4vvxaSS9vw+zM+xI67XzzBDd45ud5WnPRpfpFMvt/smN/ZbQyoITtmiTzPwqbJS7YWrBTdpgzY1Js6mXRkF6UVZnbD0S8Z0A2mrA0wtlaitgpJmVB4bmOJIke80pByLed8t9uPMt2vWLRZgVImDB65xPKlr32OVI0YnlQ6FYAf0fdzZ4YWsV9AGCyb5TWz1pOK+5hYjtMGMCiTPHw87sZGn8lx3WGUTISI/eWjEDypXR73MskJRzXrsxLa3i6Cz5/fJ2AAon5uq32lntBWWlZUtrhsZdhCMdOjfVa+3MvYAQhMVvtt+d0LY5YRFGJWqB4H2mim5n7BFRdR4tcZT96oZRDnjzUVrCnOFTIImKVSLwcGmMmj7LyAakBzyKet3xxlRt4Ov7W8WVlZiXG8hMeDZ7iHIxh8nT/PQ1vcgKaVEuNoeWIc7T6hj2ztcWCdXTcR5ehyh/W6jy9f7s+J7FbjO/WHjEB+TLqY94x1RDmu46TTqQB8+06zUGY/oF0lJO92jagDjrf8Y645pph6RPQFLy/gZfaBwNqfneOtLfBZidWADnBkEpJs2udNZPYtGrgpE8WFgHrTWGZ+KBpPGIAwr7XQ3153MIPOexDcdzXfrevCmFAuPlyeZ/NMbiuTlXvdv+57ykBpEolEHxNKahZpUmFwR5lgqdIeg4rly8qRcUOWkSHWJwz4jh13v1JGJj2Wb2TR7B/27Pfc2r3lOmd3j8txXyNn+bgF52nL1xaH3XVggS00fjcIZ/l1NJTJ2WTSP5zQWEA7Hf7q+ZDbaWXuKKGTTqdi0dbhTPZHAjJMYgudTVsvWNpUjSiuC7uHvLEnM8OIfgSLzXzKp45mvdQXsHd4ot0AFq6NjS5/wuRovxUMygf3AUxoNOrcOVaInkh5snnissjrsizE3gvhfG1hZAblDU7k5/FiAdT+Y09wuwZq0U9EYtjfDOhmWeI5uxjyOTbkgaw5RBYgp7xsqht0vLuX9tIGmLZPGvXaiF0JdqPYfYby4n5btYNBx1ytvDIwG+zbth+phhXZtmVviYEZGc/1JS8THo85fUp/+ryhiNIfzB/LpttOnowDIO9Nal6foFzLAHmQv+P3nZhrdp2ZJGacYXwJ1DDhPMl0Khh+domYodOR+Y1S3M8n9zFRfRRD1siOxjGwI7D4Hhlkgw5CYcZHnX0u92RSBNPsJbMggNLREnZBAUB2EQAoeS3DjMeujlxX9wHWh/P2blLaRj7ZUvG6BmXwaeuBCe7NZeTpOnhMswsH5Yk84NLJ97nfqKMZGmOE7NEGR8BYCdlaI++sFKk7Y89vbputSsujSQf1Bej8+kPPE497ZtgGHgMzeVJPNim57gY518lywHeUk61N3+NxASCtDG3dQCSoo92NJghNU9aPsrxYzmgPi96Z2CB7WSFyny1dr2+4v8bjQtbc7pNMpwLwI/oDEtHfcGEwjegDfETZxm1XQs2Ez8wBgSWZ+a+tdWeFm5EhPK4TgpoZidvD5hmzCzMn7/K0YONLt+uAjUe2gAz4LKTSZjNvM1767MaNfrQKLNzs3mzcgG+goM22eiL2T25YpX2+2VXAcReury0N8gScDCxMYCJp7B8mL/Zk8KJv2u4z5N0Gu0GsjM3sM1C5zzKDtyWTy+O3DI6AiheekQu7E6mjLY+soF3HDOxWXly3JYyri7GNKC9wrylAK0fyg/HnCCPLGlYjvnran9cjrAQtg1aobp+VCuTGriW7TR1NZqthYaFrc458uhMunVMB+BZIsx8zFfvlRqMSxeIzX9zxHkRrZbsMECTO/sBF4olj90CNJQKyEaUuuJC8eAQ4G5ioA1aJQyczc0Og2Qjiiep+8oSgHe5DgJQdmisr/Ygch6PRf+77DBCUZRdIDnHMyoE+ySGc2e9uYCRqJzPY4bAoZdwydsO0bf9l8O4zj7Pdh/lYALvtDDpmoe73HICQrSwDGDLvZ5ADFDB97zpBBlh38O5v5+d5xDihcO2uQD48Xwh7zsyeMTM5QAEZMLluy9YWFC6a7Jpzv/Ddey8sG1h7nk8et0wafMKo28Q9VhKZ+JjMWRmhEDis7STTqQD8c+f6g+ZOd+SM3T0sqHkwIvqMKrPa7DqKKJOCmHYSSojdtwgTAz4elxdDUAaAxOTMIXtWJhngLPCZjeR2kwDjzPAj9i+ImkHSbj69wE0/uZ4LC90hawY9YuXJz7sxM+DZrWNfMKzQIXZWgl5URzn4Re/kBXg5xNDuksygASW/d5Y3qTGu9GEmEQYP+9ZrUVGAiyOe6NvV1b6lYDeEZYzr2YKhbVamjmXPFq773OzbCpW6QADI0/LlerguWG4ed6LNakDseHvkwPPfVjwAaxm1EnV/cI89AiZuKCvnfRA58jqixwTSQj+6P04qnQrAh0lE9LU6QGyAdniYhT0zThYm+W6AdzkWEke48BsAbsFld6wjUwASH7iWBcAC5muUVTsnxPUhX/vvcxsMuhnczcCXl/trETa5I/pgeP58Yf4oB/9uBeFFZbu5qAvPOxoCduojITJge/x5w5itDfqJT7v4vG6A8mjbshnM6zWEKLpP3Zcu10oks34DHwCEjOXAAo+xN2rZrZktw2ylmJmbmNjtR76ZXLiPrSw8J9xGPvPubh8qaMVvFxUWGe3GT060FXJquRmP+3H1JjN8pw2cTprHy2BOm401xh+TOdxO1M3yYuvG0UAnmU4F4GNmRvSF2T5QM7UcP+/FNoNq9qmZbU9bkCNZyAGJlZXuOY5uID9HDTgunXwvX+6bnAYq32fz3ZPcE5uFPCaPt5VnFgajIX/8ptnkjyhggTCvrBRXiP2+TFIrs2z2A3BMbDNfr1dQFm3x0dYAIm3gOm4MnkMemLQ5tNfKJcuC5WAy6W8kYtyZ2G6/ZTO/vNwL3nYt2tzPAMSYZ2sM6ye7hMyASQZWNnllYEMR5jUmfssMO7sHuS+DKX2BrPiNYYw5sols2N2DTOWyAHSAHBn22NN3OajBO8k9V0meTxAYu6ToKysW959fquO+Pel0KgDfDCdvlqFDLaTe2ZYFl8XRfC64AYFnLagIuIGZuG+ucUSqBb5p+tE4NoFpG0CeJxATwGBoofGkQZlkIPLGLLM5nsfNxAJlNmENGp6EZksR/dDZrCTcLufvdQny93cYJBPWawlm9GxocZSOFRvMkudQADblMwNmvHANZpcC9ctKIbNrrBLLlN0w7mOuD4edojBg2d9uaxRLLJ9Wmq1Qs+MclZQtBuQIS9XtoVy7NA2UNcvVBMKExHPJ5SKjZsj+Pe9Up1zPO55lvmTfflZM5GU3YVbemahRJ7CDsTP5zFbmSadTAfgRfWGO2K+Rs9mFQHrXIZ95McqTw4AJc7cJa/bgRSX77Hwvv9cGn+8+ytj1IpmN1n7PdWYiAvLZKmqaPqPMig8Bdz8Z0Nu2RK9EdL/h4wYA6Uvn5edh6PxOO2v+2YiieNu2ADD94j0VKHT7gfMkpUy31XLlBWmAnt98Tw1sXOda3vQLQGnwsmujxp6tVGC2WFku17H55Gvrq7Y3AUVgNgwByBYy9SH80bKMPGYyUnOVZiuSPFgry/1mGfVYegxsQZtwGORxD2ZrwZYaiXJzJBH3Y/VduFDkz0eGkN/iYnE1nmQ6FYBvtulIFQsafrI8wNmPbnZpIcoLSiSvxDtv8mCi8EyeTONxOS+bOpqN5clh8I7Y/7vbnC2Azc3OyjCbtFD73uwushBnwKK9LtdRHFgO/DYaFdcF29wj+qGWWDY7O0VxZjB2X/uPPOhvM07HRrPBzVZKjShY4XhcAUjant9re/583zfLEc+0lfbbBeMFWCs35MbHFlhxZ3Ci7ix8rq3tlyODnGWbdR76L1uTyA7PmHlPJv23jFmm3BeWd8uO5w7fXTeCMyL6rNp1tgXp/11H2kwYMhgAIaE8kgmTiRV1sGuU+UxbTWZYnLaVQ13OXDpzJpt5nEnCn19VRieb5SKcEX1QqpmUFhqEgW3bXhy2wCBUfGe9gbp4wZl7Ce8koWzsVyW/iAIWBt7M9hcWSpSK2wAwA/7ZTWATPwO52Rl9TPLZ9V4o416iHVgjyOGDsCxvAMvKiLHMFoIBlklpC4v687KXrDxzlJFBP/e7LRUmOd/dbssdeVjxZRcJCiEDC+TB45cBkT7KC85e8DRY85ktJth8ftevQTb3CfVnXuQ2Z2Vqa81ExlajwT+i/4Yv52HCQPu9wN00/XcvWNnxaeVkYuNIu9xWy1e2KBi7vI7lPvC8O+l0KgAfBpndCgYh2JYX5SLKJMI/70Enb+5DEJiYFpLslgHI7S9t2/3x00zSiLIpKmK/3zaiCFbeDOXNWzU/oMGz5q7iGfYUAIy2GMzOaLcFGJCyIjPDsmViNkTieY+fWa+tHdedvqpZImbiVi5YDShqg4zbZ/nIAGSwJeTTfZ8VvfvO/tzaqZQui2cdEpwjZdwXtfPuLXPkaVmxYvPO12xR0V671qyoPY+cDIKOLLLC8L202a63TJ58rxVt7m/KMYPPlpBda/nAM/IyiaC/27YfGebxh4DRZu73GqDXdhxldpLpVAB+9qEbZMxgIvomsAc0A3xEd/1PbP5EfP7wx/YEmw1WZiNmnrXz9Z2y+8gMBaFzO2qLSSQrtOz+MUDY1eW6uo+Y7NTDVsh4XFiVdxPjC3Yb8VW6zmacjBeg4fA7u8By3bIbajzug41Nd/LwXgt8qXbj5b4yY2ds8Ltmt8bCQv+4jsXFiHvvLW+oskKmXOcJeHrTHtdtLWbgp/0ez5plZ/KSF1vJz/PEY8UzjihBSXvOWBHn+ln23Le1e3KgAO0jtNEWDP3nlJWkXTfUzZvRvOhraw65oa9cz9zPyA5WjBVtRDkOmfwcWTQeF89Cts5OOp2Kw9N4N2d2wTRN8flZ2CeTcpRtBmRvGrk03oh//NSfjTaa+Li7VyLiUnzK8Jfj1TeeiR8a/7l98cmOe/biLDs4mfwG9Yh+lA7PRPRNxYi+qZnBit/NRvxp1lvLz4oFYJ52QFpEOSbCAg2DMkhZqeX6ZKU4GnX5ege078sAQ18BbPmNY7TFFgB12dkpipvfHMFDAvwGg378dwbubKZbOTPenGtDP5lFu24GL48jIJ0B2vd5s577B1niJT3UL/utSd7YhDXi6DYrCz59vpL7wp9m8K47oDmZ9PdoeDxoA7KBiyrPBctGng9WVMgsY9m2+y213L9eAPfagZVMVviAec1q8hrTnUinguF7gPKgMwF40TGheYReRvRByizgDw0ejfMxjAsxiOePPxxtG/EPn3l9fMt//fPx3O0P793PQuDGRj8fC6ujeagXJ0CaYSNUeSEKQbJvOKIwUE9QPm3C1kDWCnI02v8CePctDJ9NVJld0o+8PMRMEjdYZks5eRKZTfm3rDzoa/eRAc3+X9qLQna9+XR5ebelFaJdFwZgyjKwuz8cpkdeHjtCfA3cAIbHNDNays2WHf2Bgs5KLi900s8GLtqS16boU6ySCxf6Fh/rPZ5nHF2R+572DIcR1651DJlkcASwXV9vwuOa25RJkV8M5L7khfE+rdZyxf/+m6bcavlnK9z5sdZy0ulUAP7SUgkjRDDp/NqmGYTUzMzanoF67e6v7j3zwtEH4/JoLR4aPxkL0cbHDd+5b8MQDCSiPyHM4jIz8v/k5TPNM/ia4VhZGMgz6JOXJ4l/jyiTwkceZDeEy/BmGAMN12BKAI93VWbW5zr7/HizKy+sZ8DKwOsoHsxn7vO4uG2e0NnyM+i5zbYi7cYisYHIFgH3GdANrgZC2oLcZOYa0beEABbq6Ou3bnV5wPDzcc8ZFPkt94OtIBQf+a2s9JWun83WCWVS5+xqysrFbbdS8Xhb0dfIiOUxW5euF0rF7bD7x3iCAq5tjnRdcl+YMHCfj2Y5qXQqAD8LTEQZsAvNYE9oro6eiv/y/gfiDU+/YY9xesLnwXrtTgH8F00+FC8cfmDv+8t2fntPaJjw2f9OwpfnOub/YSp+BmAA+M1EEfw8iSjbpjPXs6/ejBF2X3tVJGXaREWQAbC8xyH3K5tpuAf2lxeDvTuR35lwOczPz3lBO7uhqL9ByIouM+X8jN1Vbv94HHFusY2/vva34zOXf7jHtDNQZWB1dE1WmG57ZpdEWWWrwkTFCWZPnjB8y5mfJ0980LZqKMsuHVLb9l8pmd0i7guDKH1ha9T+9ogytnzyikpSTfllC9JlezHYfW8ygVLJLh7PNZeZy2deWrboyzxvGbe8NnES6VQAfsR+7b2wEPGy7XfGz/36vfE/L//fERHxmq23xpXxcnz2rX/TuzeDw2TSfXnN9q/t5f/C8YfiRaMC+B+z+649QAbsM/shT7Pr8biLhc9CFDF9DwECDiuYTCIWYhJftfz34zXLv7iXl6MrnD9uAwNZPnfHlkkOc2zb4r92H/kZfkPg6Rfu8RnkZjbO04Dr+yjDG7mswAxgBifqwsJaZr+Z7dXYtNtpFs1Gsod33h9v2Pi2eMMTf60HBgYUAMBmvdcDsl/efcE9LDqzGxsCYfDIMuVxIfzT6w4uz31mgKa+3oxEn9mitRuOOnuHuPNDIVvheVxzOzwu9n+jJJBtu3SsdK3UXab7jXZwpALlsGCPuyVjhvvS7XXQgxUC3/NxETVPxEmkUwH4BgxPmEd2/lNcbHfidds/F8NhxPNGnd/9ecPH4/LWjR7DyObVgzuPxdXx0zGOiEF0gG+G//Ld346I/b7W7A82CBDBkV8SbsaW/aULC8X89ouPX7f+U/HN174h3vC+v9xzV9SYnoWUujK5fBZQzRymPnfd1e9jfmNtwmw+ogATE+fq1T7I5ZSVXg7vYxK6r21pWA7aNuK5O4/HH3/8B6KZjPfyI//8+kX6CDbMOoSBxZYL/y8uRty383RERDx3+FS0w9E+6432AjxZqRkEqQfykN2O9Dv3Igt5/DxOXryeTPqnehqgs1vMDBoFY0DynLNvnfuRZaJtfJ2+97lBHguDtQHe72p2bDvtzgTBCtprJtnq9XygTyzH1IP+9FzPcs81v0HLUYQkyx/K6lTstG2a5vOapvmdpmne1zTNN59EGY6x9YR84ehDERHx/NGHom07oCe9fP3tvQHOrOd5Kz8UfzUirkYTFyPi63f/bbx545/H+3l+913RRBsLC8X3Ns2V0qqQdQAAIABJREFUAOPFz0d9vevSKUcUcS+Lw5NJxJesvSkiIl6w/b5Y3NnsRaNkCwFG4Qme83ffZRZDws9o4GFCEA01HEa8eO234t+++XJ8xa1/tMfuzKZgfwZb6pD9o/7fJjD5WGHhJoqI+JbVb4y/9Tt/If7o6s/sTWz3S2aSlJHdD9TVrgbKPncu4v7x9YiIWIxJXF5/Zt86BfdmC4N76BufsZIBhL62ImbhkTJq6y7+3+2yvEEWsrygsEmwXIOlF8QNbNmSQt4pi/4kL69FRewnEOTvZGXgci3PHgfmmsNLPeZEpLks+hmSkGUmj2dEf5e8+9xEwEd61OTwJNOJAn7TNIsR8U8i4vMj4lUR8eVN07zquMvZ3t6NhYVBr/PPn494/uixiIh4ePx4xHi8x/AjIl629vaeS4KBX1ho49atfxT/6to3xz+NiFvRZfh07Mavjd4Tr4qIvx0Rl9qNeHDw+L5FxDwRLFhE5ozHZcIaeAEvTFNPREB7ZyfinvGt+KzNH+3uiTZesv2uHmvLlkYGb08K2k7dc/2z75o8eZY2eE3kk1d+Ni5OtuNL1r5/r39h2UQm5UlgEx2AI2KF3yP65nZm9tQ5IuLlw3dHRMSLtt/TC821K4LJZvafmX+ejJ6gbVsAPyLi/u0n9k1s+555xhalQc1jxvhbCUFMvBmN+nrc27b46muuIgMiMpnrQlk8Nxr1F+KtyCx3VnhbW/3yM9N1nVz3yaQEYRjwbXV53CmzFjWF8qBMH+gHszYhcRusZNhp63q4P2m/54HlMu+Ep+0mO3ciDv+kGf4nR8T72rZ9f9u2g4j41xHxxcddyJvf/KPxEz/xQGw+/unxpb9yMT5/7Xtiaalj9hER52MY92w9Hc8bFsB/6epv7k3EIgCjePrpvxQ3bnx9jGMSXx0R//3D/yC2IuId0cSXNM+J3Yj4toj4qoh48eZ/ja9+/Nviu37jM2JpZ30P/OyzdOI3GI5PcezKr/vbrVB2dyM+88YPxfm2xHC9fPude8/nyQBA5Lhq35cB3+4mm721w+cAcgPkQ9sfjIiIPzj4zbgcW/vYnAHCbiPX32si9EOuG/dlCyki4oXjrg4P7T7W68dayKcBCCbvsUPBZBdL00TcP7q2d9/9O0/26lRTnGaytMmbcGzRGXxzfcmLuiPLGfQMLlmp2ILKqSZLtYVX/rfLwwpomqKB+VtOnadB2goakmF3KGXDrvNYO3mtYmGhuO+yIs9tzu49+jKTK5PIWtspJ7v3PDYnmU4a8F8QER/W98efvbaXmqb52qZpHm2a5tHr16/HUdJv/dY7YjTaiCe3fzn+ersbP77yDbG5+a54wfBDe/fcv/FYPGyGv/72vYWwi8P1+MF3vyZe9LuvjNXVN8ZCc1f8QJyL742ID1/5ylheeEF8QrTxI+16/ExEXGzOxQ9ExG8887/FVz79d+IT134pXrfyE7236sAsbHLanPYOziu7T8d41PZY773DG/Evn/q8eN36T/UEfDiM+NynO3fOe5Y+vmvLTgf4md07mUGfO1c2qgG2mXVbCUX02+DPhYWI5zXPxN968n+JFw/fF20b8fzdD0RExFKM4tW7j+5bGGaTmhm162lm68mI4sphlxmc72tW4kq7EhERDw0+3JuQbo83cpmJm61mFwnP8t0M/8HhE702WEE6Dya8115yfxvws6++bctmPjNuxtF9mZkmcvmy4bvjOeOVvsIfT+IvDP5FfOb2T+4944VyAN3jxp4M529gc918rxk/+TsZDL3ImwMKsnXg8OFseTMfIWZYnL4XQsFZT7yo3QuynzP8yfjtp+6LTx/8Qm9OeW6Y4Dhkl/wt4yj73xdROm3bfk/bto+0bfvI1atXj5THt37r/xV/7s8+Fv/v4gPxCRHxRLsZH/jAp8Tbx0/s3fPgxvvjwVHHwIZxLv7A9u/E+eFmLC5GfMHKD8Qbd94RPzf83VhsLsZXXPlf43+MUTx66XWxuXQlPrzw4r18PmXxvvj6l/y1uD8i3j58f3xDTKKNiD+28uaqkCNgDDLMBQH/U+v/Jr73xx+O73v6T8WDk6f3BPMzN34s/vjOz8TXP/nNPdB50e774uPX3hqbC3fHP7nyLRER8Yrdd/bCHp0AxYgCNBH7d41SbkTESye/G6+/8U/i/uEze0wl70I1m/m61b8bf/7mP4+vWfvOiCiAHxHx2q23Rtv2N6K4Tkxg+zpdT1sOdsdk1wt9OhpFPG+3KPqHBo/1mDaTOjM0WyGZGfp+K41OMRfAv2/7yR7Y+EUe2V1jy413DVDGS4bvjS9+6p/FQjveK9tHNhj8kCfv7I7YHw5Imkwinrfzwfj5Z14d//jG6/eA/O5mM7575fXxD7e+Ov7p8utjsR31wCzvTcjnC9XcGXmR10zX7iLOufI7XgHkmpLOSnkyibir3Yjvf9vHx5uWv7DXDwAqMuX9IJNJf2c9+Xk9peY2/LLh98eVdiW+YvO7e4qvFh6O1VGzIugHlHvtjKnjTicN+E9ExIv0/YXPXjvW1LYRL20H8YbxzXhrRLw+mphMNuJLI+Jtz97zyrX/EudiHDfPPRgfuPiqWIg2Xr71jmgnbWw8/X/G34vunIm/cfefjL+++0sREfHDV746IiI+vPiSvbKeuvjSaB78gnhzRFyIiH8eEf84Ij519aeimYzjr6x9e/zKyh+M+0fX9oTNApojHl476EI///j2T8dPPfEJ8bE774i2jbg67qI/PnbnHfHw+nv2hO+zt38sIiL+w+U/Hb+x9CkREfHy7d/qgVbNneS+iigT1b5IBPe71r8m/uaTXxf/8bGXxt9c/aZYjPG+3YcI97mFSXzu5r+PiIhXDN4V0bbx8OCDe+W9ZvutsbjYX6i2tTCZ7A/55Lp9s9ly8e9MHNr9glEp/3mDx/Yxvhy15L5p2/4xx57AtNkLt/cP5dLZfmKvT/lzGS/efFd84vav9Ni+dyZPJhHNeBRvXP6i+Mb3/5X44tXv75UdUYA+K2COI8jhtNnFMhpFfPzGr8W5GMfHDn+7s2LaSXz3hz43vnDnhyMi4q52M16y9a59lo372+SGe2oM1YoiExKDHnWzorLyMnA78f316/9fvGTrXfHZuz8ZLx79bk8R5QVlg+5oFPE1N7893vSuT4rnDG72LIXRqLwvw/LxSeNuf86n7f5CLLTjvXw/a/DmeOsHHoovXf0XUy3tfOaOFdtpcOn8ekS8ommalzZNcz4iviwifuy4C2nbiFc/9XMREXFXRPxgtPGHLnxybEXEF0bEYxHxcTd+OSIinjn/onj3pU+MiIhXbLw9Ln74W+LvPQuub4yIv73xC/HarbfG+sI98dN3fWlMJhGPNYXhP3nhY+Kxu18VnxIR//LZa38tIt4+uhmvu/bv4xtW/4/42PG743U7P1+NviGGG0b0vFEHEjcXrsYDkxvxlZv/LJom4oFxAZI/ufLv9p7/uK0fju+IiG8aPRG/fuMvxmfGQnzj8KnYvPYdMRx27bDJaCvDflXXrQdq66vxR4dviYiIS+12/NXN74gv231T7wAx6jKZRLx2+OvxvGctqZeP/lvcs3s9Lk22YhTd7P/E7V+JaNve+sa0MTT79cTn0/UHeG0dcN8Lhh/cy/e5w6djYbi7x8ByFI2fw4LAjfHw6MNxPgY989zMfGEh4sqoMPwr20/u5Wm2SP7f9Z4viDe+99PikcGv7PWh3UTjccSfWX1jvGLcLTh/6fr3RdNEXJ5sxB+7+eMxGRW0gxHb9+vx8SF+buPOTsTLtn+r65vxM7HYTOKFu78bf3jrP8dKcyXeuvhpERHxyvVf7y0QN83+g8Voa17kNCM3uGa5syLyWJstW2HZtYO7bWEhYnE8iK9a/q69fD97+8d6pMEAS0SQ96F8xco/ildtPRpftP1v9hR5fgczffnc4VPxB9puXei+yXJ8zMpvxMJCxMs23xHfvfr6eGB0Lb5m+dujiXbPnWOZp21uCy46Qp9PMp0o4LdtO4qIr4uIn4mI/xYRP9S27W8fdzlLSxGvvfHzERExjoVoIuLbFx+Kz4iIpyPicyPi7tXfjIiIaxdeFO+7+7UREbGx/H3xn576fyIi4vXP+Zz4gxc/NS62nV31U/f9D7HV3BXjcfRcOk9efGncOnc1lhceiC+PiE+954tiEp0m+8r3/MU4H90Mf8X43XvROJ54mS09OO5A4ief82UREfG88RNx/nw3GUmfs/bDsb39H+N9v/Np8frBW+ObIuK/7bwldgdviV+MSbwpIt71oW+K97zn+bG8/KdjY+O/9gC2bfsMm4mHwBkcHln9hTgX4/jNez49/s7VfxAREV84/JE9l8xg0Pc/fu7mv9ur5wOTG/Gxa49GRMR7L/6huLnw3HhgfD1eOHj/Pksim7gR5bsXGWtuKk/g12z/anzZ9r/sPf9CAX5ExAPbj/eUCHk7ZdD81MEvxS8//uL4htVv7cVU24qKiLhvtD9Kh3sMUneNVuP5u129vnPjL8fCeNhry9JSxMXJVnzj5rfu5fdJO78cHzN6T3zvzT8T3/HuL4ov3PjXe4CVT+W0Xx03jPvQ7qqXPbvIvxSjeM7ujbg66BT2u8+9On7i3JdERMSrth7dy8vvAI4o5fmIg8z6o2333vFJPpcvR7xg/Fi8YeV/jwfHT/X83q6z3Tr0u5WD27OwEPHFWz8Yzx99OIZN55D/nO0f7SkJu2b83GQSsXTtiXjes3Pws7d/dK/vOQguR9f8kVHZjBkR8cc2fjbuGzwT3/mePx13t10UxkuG74tHRr/am2u2HJh3ZveWhZNMJ+7Db9v2zW3bfmzbti9r2/bvnkQZizGOVzz+HyIi4i1XuiCgT9/+xfj3EfExzd3x7oj4gpjEanQM/3fu/sPxPRHx93beFpOI+FsRcfP/Z+/No+ysqvT/z3vnW3NSqSQkIQmQMASQmaBMBoOAIILigBMOLQ6tbSuOrbbajYrQ3Q6NooiKM6I2KBBAFGSWMCRAwhTmzEmlUnPduuPvj7eee597qvh1/37fTq/1zeqzVq2quvd93zPt/exn77PPeedcwS87PlB/5rXT3wvEk7HBAH9jei+IIi6edhG/6PggY3v+mgVth7ANeG9tBO1X2af8ZH0i/cxsn/B0mjo7Xps/EoBZ1c1AA/A3AJ8Zf4hNm5YxMHwPLcBrUj10d19OT88tfL7tZC4DDmo9mChKUyxezzPPHMYzz7ybcrm/zpJ8Mct/C7gkeEv7bwLgnvZTuantjQCcWP4TuUqsvL7RilqN00ZjwB9NxPTkiG03xuOU3YsH0q+gAOy78+56PXq5iyuvFNxDFK4EYcxerv/rd/yAX204jm8NvYeDK6vrz5tjISWIN9H5Aqqnojogqp5SCd5Y/AUJahxSXDkpB7zeLmpNgN81uqlpbN2ozBt/pv73ksoaztvxb01MNZWCdw58mz2qm3g4fQS/7zoPgEu3v5kTxmMys7Rwe33Ph68HeShFh46596AiEBXgA3SMbmFGMQa8rYk5PBTFcnjA6AMx2FMiqlWpVhvrBGGevT7TuAB8fPBLXHdvN0v672ma0/P7vsaHB77Cr8fOJF0eq9/rYywZC9NXjy38memlrXXykKmNc3L5Rj46fCEAP9r/EkqkOKp4F53lHZNCgO4xqM69eu+vX/Pywm10MtDkxYXk5JDxGPCfSsXZ5ccM3sxXt/0Ns8df5IHMy7l65ocBOHv4ZySTcXiwVKxx1qbvsm9pbZPX495rrfa/5+H/l0vxrw/RUtjJ+vTe3N1xGgBttWGmAedN+1v2AR4C9ga+PbSSn7/w97wfqAGfTnQxt/NTbM3syXXZN7I2dwS3tr+OR9JH1K2zx/DXp/emVoOr2v6GL838LtVkjsWHXssewJ3A3yamA7BP5ck6w/dQgYdZImr1heTHW2NFm1ndTLEIM6pb+T1wMEmuB7JkeFv+MLYAr5n9cTo63kc+v5zOjtP4APDVrmM5/ICnyOc+ShSl2b79Sl588SBGRv7YFL4Q2wlPe4wiqFZqHDMB+Hd3nMqWaA9WZZeSp8DR/X9sUtxEAg6qPMyC8rP0Jmdy+7SzqQCj237L3wPvGb6Ds8b/SB74/KPv4tJ/n82zz57Gtm2XUCw+U1dADz25gkOzcspYQgwIHx74Cp974XxSxEixpPJo/ToB/vPpxfGYjq/nrO0/YOUjWQ4duxdoDiVobOox/nKNk0srAJhd3dRkFHwsW8sDpGslRqJWilGGtlI/uepofYxUTxTBvGIM+JtT8wD44PYv01npa8rDPmco9lQu6biQa6a9B4ADS6vrbXxZMQanDEWWjv2ljhyeEimPIjx4T6CVq4wwd/zZ+jM7RjbTPR7L4ObEXFYnDqdKxL5jD5MaH+HGvqP59doDSVTLTd6I5kn9U39lhE4Yv4VsbZy/2fxP9T5Wq3DkWBxaPbz6AF/Y9EGqlVqTLKitGkP1bd+xh/nNzuX8sPdMyqUa06u93D+6hF8PvYa9K0/zYmovrpv3Qe7NvpIUFZaNrWiSbbXNM7NqNVjU3wD8DCWWl2+s64fPtUjK4RMHKn638zNUSHD48J2cNHo9Q4lOPjj9aq6fcz4Apw9dRaY2TrEIrxq/gY8/87dc2PuB+nzpuS5XEw7RLi27BeAnb4vj9/e2ncyz2QOavtvY9kquI8tRQB9wz+h9jI6uIp3uYc89L+cP++3k4u6vE0UwRp43LHiAjy64llI5olqNXedNqfmN52X2mpx6ll/IR6edQRL4QbWPa4G9y09BtVpnjDqOWUKcSEBneQfZ2jgj6U42t+wDQE91K7XKKJeUnuUsoJ8KpwHPU+SHhcdoB25vP6Puaj+dOwiA12y8nAceW8h11SdZuPBR2tpeTrm8kY0bT2Fs7LNATItkfKIIUpSISjFtSyZh3/Jj7FFaz/bETJ5pO5RaDf7cGntMr+y/lvkDj/K+DV+M21iD80e/CcD1rafzw2of+wBvL23hW8D6Si8FCqSACjVGx7YyPHwT69d/inXrFvHMM69mbOwmarUarZVBbtl5BN/pf2uT++1nj0BDcQ8sruKCwX+kQoJHc0cBcQhNc6JF4/tbTgDiXPzTt/2YTK3I2WO/ZHT0OYaHf83Wrf/Azp3n8+KL5zI8/H76+j5PoXAVcwZXsEct9rxmVTbVwUoMV+DZWYzZfW9iFttTcwCYUdzUFC5Tu+eNPQ3AH7vezL3p48nXxjimeEfd4PWMPM/epacYiDq5M7ucB1uO54VULBMrM8dSIcH+xUfIVMb44OBFXPHMMj7R/7mmnateZwieum7e4GMkaFi66cUt9XTSrck5DEUdPJPajwwlPrT5CxxcXs1ehSdYMP5UUzjEwzceslCdCytxf48dupkl5UeIImgr97O4tJYiaUbJc/bgT7hl0xIueP7DdI5tnpTn72C9oLgOgEPHV7KobyV/U7iUvWvP8kJiIRfnv8ib97iTairDLfkzAXh14Q8kEs3vi9Zmvu7iZg4i9nL2G4wB/5Gu4wE4rXAt0JySW/+/WuGQUnz9nflTWJ1dWh/Hi+d9my2peTzTcjCPZw+hs7qTkwpx5t4xE0kgLxu/nwzFpj6GbH9Xl90C8KuvOJ67Dv4gf+p4Pc/n9m/6bnNmAankXqwkztg5pPs89t33xyxd+iIzZrwPiAfeF1M82yGTgWKqhTWZw9mSmsuW3MKmPGyBwQ0H/oHZsy8C4DwinmeMrqH1k2Ko0ACy7vFY0fryc6mms/Qnp/MMZVY9eBRXUCANzJl1MSfPupBuUmRr42xMzefJ1IH1dq/NH8lQspMkcQXLijfTltyTJUvuZMaMC4EExeJF9PW9knJ5fd11LJXgomffxJ1runjL6I8AOGEkDsf8JXtKHTH+3B7HdJf1/wc/e/oYPrDtn/jVzlM5Y/gq3jz+E64kxQdGVvC7nSt4AdgH+Bzw+j0uYtasXt64ZBXr8ot5Dvi35B5M73orUZRjePgWtm8/jaefPonlOy/gkPJDvL7wK15evL2J8TsbiqLYK/rq0IdJUuWX3X/HldM+BsC+1cfJZqGj2k9HpZ/RqIXHsocDsFfhMVpGVvJF4KtjP+C55/ZmYOAt9PZ+jZGRHzA0dBWFwuXs2PEVBgfP5fZtZ7Af8BlgfXWwHs4KgbxzPF5Y35HoYWs63l6ieDg0hynmjccA+HxqEX/NnAjA0tJd9b4dseOPANyafSWjxTvo3fF1TknN54hEFydVhzgoyrCcCo8/eDrPDP07vwFe0/8vLCytqzN694jcK3L2vGf/o036MW18Mz0TXubWZGy0Hk7HRvRtvd+sX7fv2Oq6oWuE38YplZ5jfPwBisV7Jn4eIzv+DDNqjVDX+cPxguqBw38lQY1Hc0dxfssvGEp0sLj8BG/p/Q7v3/iPk8BvOn0kqZBMwnRLYnjrxkv4m+J3APho50/4ZteX2J6Jx/+WXAz4y4o3NXkl0sFkqcDPnz+Wm7YdxpLKo+w/Afg/3y8OCy0rrCDLeN2YaZd2rQb7ldfSWhvhuWgvdiRn8peW0wH4U+uZrOh+R53MXdvxTgDOLvySWg2OHL8bgCzjLB57pCm0q7YVCo0zh3Zl2S3eeFV5xfH8x/LjueePkM/Cjqib7toOALbl5rMxNZ/FlSc4HFi455cZ6FpQF1zPBgg3RLiivHnPe2jNlkll4yBqpdJYOCuVgCiie+anGB5bycDAf3AysHzgdp6fmHyBrMeuO4djRevLzaVarXFZlONCYHT0MRYB34u6+PisT/LjGtyWOIWPj17ItS1vJZGM6go9mJzG2Yc+z/TMMBc9dDJ7jz/B4vLjbOBwZsz4HC0tx7N+/bkUi3ezffuhdHX9lErldOYNP8Gy/pjN/MvO9/K+0W/WD4S7NX1qPbvkuez+PJ1YzKJqzLBGEm0cVF5N4clzOQ64hzJUtjK95SB+MrqG1xCziNe3n0FiqJunW7v52NKH+MGqI/jYwFMk8i/jslmXMjDwA7ZuvYjR0b/w7/yFzcBXgI+PXsjtLSfW51ZzcXjlfk7dcge58c0sLd/DtsQsLp3xpfqBdovKT5BMwh7FFwDYkFrIptR8VgLf3Xo111CZMInjJBNdJFPH0tl5OMXiHFpa2hkaGiSb3czQ0EPkijezjjJfB74OTH/hVVSzn2BJYU/WlvejkOqiVoOO8RjUdiR6qKTik69mFDcRZZvlp1KB+Qb4Y5m9YQSWlu6cIAwj9G+9gtOBmws3UCnEi4dbNAjVfp4AngDov43LgMsAKDN/4+EMdHyI9vazyWSOplpN1Bd1ffwglrk9B2JmuyOaQXetl+7xzcwsxXK4JTkXyvBI5kjOGftZkyewz+iDFKKFjI7ezosvrmR4eDVbtjzfpIcbJo6q2gx0AotI8QrKLB39OdNTH+DgoRj4VuVewQ2czXELzuDQTSv4ycBZLOu/huwel5FIpKhU4IDB+/je2uP4Zu6z/CT1T8ysNpIYTtoZrxs9mDiKv6aPJ2l6+gJt/DSaSW9tG4mht7NhfJxqtZdKZZREosqMci/vLm+gB9h38DSuqfXTnZjGY91LeCJ9MPuXHuWwsXsYTCyr11erxWG+5YXrAXggsZRyGX7acwFDM/fm99UziYjqWHBj/g18lgs4cfQmZswY4ODig/VnHTx6H/ekDqNYfIFicTPVai/FYi+VSi+/+12CU0/9JLuy7BaA7yWRgHXJA+gu30Vf1M1YopWNyXjRtUrEjuwcMompz9MWM5L19fhyMcqSSGSZZu+0VZaBMldyuYj5839O+fF9eLy8mRvWX0DXgleQzS6qM0PVm0zCjAmGvy41jeeeez3/MMG0lrYeyi0jq9mYmldnA2tyR3LBHtcyMgLtqeZ89tFMF+VMF+tyB7P3+BPsM7aGF6sxu83nT6CtbTXF4jsZH7+Jvr4zSKc/yUfSsTI/njuMvcYfZ7/xRxknw01tZ3Fz/iy6BFjJiJ9mz+cLhX/gWz0Xck3mROZveCVXUZgYs1nMmvU19l/0Nk6+s50EcdxjfWJBHWxGE2385oRL+ch1r+b8rf/EtS1vJTfrUyQS53No3yncWljJb4FrgPeV/sTBxet5njPq4798/AZ+MfI6UgMNyvyVjosZTXeyIb0vAAvLTxOVS+xZeZ4q8Osoz293/COXA9QqpIBzgXcCP5/+E1bUzqSnJ35pR3t7PIdzuseZxtP8cccK7iDJDxOdXF/to2/sPhh7I/f0w6uT+3DL7NuBubQXFNKZSTnVDkBPaSNnjfyCYrmdVdPOrLNuxfBfTO/Di5kZFIjYUHqAbZvezMDI9VxY0yueKqTTh9LefjzJ5BKy2X0YH+/g9bVreVPvRawnyZNUuC01nUfKfbxYG4aBixkYuJhkcg4DA68DXk8qdSKJRLrp+JBaDeb2x4B/R3Y5ZxeuYnppCzMnUoO3JGKGv3qC4W8BvhvtxWO157hx+7cYpZH6OCHFpFJ7kEj00EaJ1sQom8tpkpX1DNVGWUWZVcB3qMDgy/n8UJZbgU3VIao8Rjk6gJsyZ/JcZl/2Kj7F0YU7eJGTqNVg+Y6rSNXKLC3fxY+r0F2NGX6ZZH3d5puZv6dcuZ/C+H0MDd3Hhg33MTb2NOepeaVfQ6m5xRsmfgCobeRHANWdsKKHe6NWXgEMDl7E8JadVCqHMj6+Fwuqz/OjjW+tx+9vS76KVAqKiRx3zjmXkfXQap7PxtQCnmo9lL1GVnNW/6e5oVbkMeAx4N7tX2Bj9RPUas27rPr64D+uns4PLv/ELo3v7BaA74tvmQysS+3PMeW72JCMQWdDKgb8bck9qKXSdaBWjA8aubfaJFStNhanBDzuhuloAsXSG9u185w788P8btPneLDcy87nDmfOnB+SzZ5DJhNx6Ni9vH/zF/nqvMtoLz7PN4EvbLmO4eoYLaS5jBLzWvajfWQ1vYlZdZbo7rR+lCus79dlDuIUfsPi8TXc1jQuPXR338BNbC7pAAAgAElEQVTo6CX093+OrVsv4dtRmoOAb835NptLMziMVdwUncZwqouxUeisNXYJXpr7BL9f8G429V7Gjo3LuYcCSRJ058+n1vZ1eno6yLfDs6l9OaC8hh3JHsaSbfVxBXh83snc1P5GTh36Dd/d8Foumvcd9h29l0+Or2YbsDR7FpvHf8/3qJEbex0t/Z8gn/8cRxUf5ccjbyRFhb90vo4t4128mNyL3+bfwYwEjFZbWJ9cwJ6VF5gx8jhbR3/B/sC6CVbVCbwf+AgwmDmEJcWHeapwL9enz2za/bu8uIIrnn4LbdXYr06nXsm78tP4/tBveX3XeawevJlN1S1cWXkGNi5gePi1PNfeQZWY4Y8muwF47dhvOHxoJUXSnN6ziS3lGaRLo8wqbaRIiqeLG+gd+lfmkqSPMgxfDcDLgVMSPfxo3hqKxZl0dMQEQbLal0tzUu9FMAF2X9rnUt6w/UmO7Psy30gtZgUFyuX17NgR8/8H725hWvQKRhIfIJVeTiLRSa3WCOnckTmZswtXMaO4uZ44sCWRp1y+jjsLt3AICR6hCrXnJmSoQjK5H+n0MmbNOpbR0cOZPn1fOqIxPrrls5zb/10S1Hj7nFs5hnt4y6bPc3H7m/hT+0z22HQp9wLbauNcBTD4feD7PPlkD6nUCXw6NZ+/LT7FUX0/5Te1ZUDEUf3xutys6mbK5RpR6QVuA36RO5p84V7uIsvqwruhEL4XMMe8xGzOrD5Pf/oY/tJzAbVaD9VqKx8c/QanDv2Se3OH8xRtdBfu4GngntQcNtYG6KuMcD3A2B/hoTjEFkWddJHhytp2VtDKk21n8dvSXsyoPMjoaJLe3irDw32Mj29ncHA7xeIWhoae5JXFDfQCpYHvNzevshOAVGoOyeQCksluWmjhvNGrmTUyEK/ctrWFEPffVnYLwB8fbxwbDPBUMl643ZCMQzebkvGi69bUvPppjdDYZi3AlPstkPWXeAhwJ2W2TNSpHZOlEmxpOZQ/A69P9XBreTsbNryJbPYw4J2cuv67rC+uY/SFc/hk8Ul2AlTHaGs7hS/l9uadvZfx4nCcmdGbmlVfW4Bmr8PddP3/VCZewF1cXBOnkBXvJ1cd5ZraCUCClpZPk0wey3j/2TxY6eVIoLPvh7S1fZTtM85lYCdgi1WJBBSLGxkb+yFr111KZeLcmJaWMznkkH/h+ecXN43nutQBHFBew8bUwvoY6QXzAF+b+Q1eVljJAeMP85NnjqvP342tf0/U9Q32Gbub/fqWcQMlCsMXU1j3DZZT5glqrM2+h2/sdQWbt8SucyoRnx8+MlLjxtQcnqm8wIpHT2CsOgBAV2IabXt8gQc2fYFZtRHKJLmk6zN8a9u5HF28E1I1Zo08x7rSQtqLO/n28Ltpqw2xKTGXDckFXJL9Am9O/I5O4JTcIbyuOJuDRr/O94HfUmNg4FouGYCfAXsUb2N28gjOAJaUVwJxOuOx237Gw6Xl9Ixfz/uAG4DNG+OF5FFgf2Dv/DKOzBzMlwe+zU/b30w+P7Mp9KfNO+tyB1MgS45xSqR4cMapDJeO5RN9X+boykaW7rWNHWNPUK1eQ3X7D9he3cYof4KBPwERyeQBtKUXc1FhC22k+X3paWYDm0fvZxPjPEaC57YtAKrx6wqBRJQjmXoVXyvfyhtqY7yh+0+8WJ1HV1dDHi/a9HZOGmrspTxy7E7mJ59nBpBvWUb7og/wocFtXDd8NY8D1yRm8PWWVzEycjuVyhYqld/xG+A3AH0/AX7F6FA3p5Y3kwCGK0+yeV0bb5MHVLhXWg9AKrU/2exSWluXMnfuUrZtO5hDRlbynf7jWFsb5YG2cygWIVMa4ZPD19IC/OueP2RHsZ2bX9iPFBXeP+eHbDz41SRX/oy3bX8XNybncsP0g+ntXUWttrXOzmEEhn8B/KIevnrxRZrKQCx+yF9bQHxM8PD0U3hb3585hDLnzXyedM8CRkdj3Xhz73f48ujV9B9/xi4Fe9hNAL9YjA85Un74iszZvKFyNb/OvYtqFR7IHstIsp07W04hm42BPJ+Pc5bF8jyWn0zGYRuxeGfSIcP2rewtLfEzX8zvRyfwS9IcNOPf2bnzS4yPr+KZZ1ZxgS4uxKB+BLB4739gbeuF0P9tAOaNPQXAjtSs+vGtHhP2t2ypVKuwLjsB+ONryBd2cuXzJ5KvjfGW1Gu5sOtSnqvMJ5M5jh+1HM3tQyv4Jgn6+6+kv/9KensPIZ0+hkxmMcVilXJ5MyMj9zI6ej9ilbncMXR3f5V8flldLtWWRAKeSsa5yRvSC5vy0dXubem5vGnJGt6x/qu8Z+e/sDE5n4v3vJRrC6fGyp05lr6OVfxs6EyuqD3L7ZTq8epE8Tranj2LSmU+tVo7UTTE2NhzDA6u5P3Kha8OsG/UwT/VBvnL9O+yctZbGO27AsYe4/GWI7i7/VSq2yIOKd7Pz6tn8Zr+P3Bv6jjGRjuZWdvGAy0ncFbnbYyXEpRKsDwbg0tPeRM9lec4CTgJWJnYk9fOOJ/kjq+yuTLCltJKKK3kxom5yAJVoLTp4wBsR4BRJpmcQz5/Lme2zuLnWz/FM5WtdA3Hayd35V/dtNCqvRq1GhQqaR7LHsbh439lZfYEhtPT2JSaxurM0RxaXMkJY3/kxtzZTG87mOt7f8wA8HNauZUR7gdKlccYqDzG1wEowdjXiF9OodBCFUiTSLyC9vZl5HKvJJd7OcPDeY4bO4mFo7dxYGk1Lybn1WWxo7KTE4ZuoESKy7s/y9/u+GcOL9xNWyp+5gupRSSTcOn0L3La8G84kBrrWk9j3tyfsmVLje7up+ntvYNEdBcLB37Fc7Vx+ikyXt7M03XJrkFtlE4SHEiVF1pfT7J7Kdu2HUYmcxSdnV11T7SrC3p74eHEYZRJsn95DfnqCEVaWTa2gpbaKA9lj+GJ3KGMR3BR64WcmLyT+1tOZG6UYHP+VN4EnFYbYusRK7j/gYhZpfu5ZOBoVkZ5Lsq8m2RqI2Nj/aTTA9RqVVKpiFptOtlsD+XyDDo6ZlIqLWL27P259rHXsncl3lfzpn2+xxHDb+XI4r0cXnqC1ZUFlMux/pw6Eh9pMfaac+iaAt/+O8tuAfjOwKMIXkzuxVv3+iuDg9BVgxdTe3PKkX1s6U2xf6o5lONbnKER2vFMHQG82JZO2NN1HlZJJmFLbiHjZJhV3sScjncxa9b76O29hgP7/5HO8XWUgcNJcUhuHmcVnucjPWeTLkX0ZfcAqC+W9WdmTTrsKV4raA4jaV3ghdQ+FMgyt7KeM3b+jHwt3thyWvk6jt10B+/r/A37ldZw5vAKTo0yPLDvLazZ/lv6+39KofAwhcLD9TFtZAykyGTOYc6c95PNvgomFqd8YVsM/5b8mZxXvoKbW9/QlIcOjdTBoVob35z5VX4+99Os72tlWmcK7BWET6YO5IK2NXyeC1mW3MR3ChV2FG+jWt3A4GDzqRzKW26NOnhXbZCDs4fxnvGHgRRfTxxPqQhbsvPZa+wxHmh9JYOJLtYmDubg6iO8phw/6+Xlu6AMI7Twpfk/ojYYu1OJBGxPxzHtntIm9ppIMyyR4ujqC7y65QQ+VrmN1I4/cV7LeWysbaR17E9sRNwTcgDJ+ewddfKO8qNUu87l8s6fU60mWJ/fSrT1UywqxqZgZedybs2c2uRh+WYxgHtzJ3H4+F+5vuVNdYNwc9sbOLRvJacO/5abW87m5J1XM7uyiULrEq5M3suzg90UqbJf1585eexf2Wf8Bu7MHsUdHMUHxr9PDxXmAbX2I/l8518YHGylu7uxVyOK4nWepaO3cXB5FSsSZ9Tn9riRm0lR4b78K7mq4/387Y5/5rDCXxlPtcTymF5EIoL17Uv4be4dvKnwU27PvXriTPqIZHIxra2LmTHjvXxkUw/v7r2Ea5Kns7MlxXFDv6cMtAFv7FnFzdtfSRcDHNXzfVKzZ9Df35yN5F7vKC08lnoZLyuv4oDRB1mZO4HTx34DwE1tb6xf/++tn+GqnsbhhH2pmXHCR3UHbQMbiaJ5HFd5itOAXMuruDT/Hbq6YNMmmD8/vmfWLNi6NSZ7g4MwezZs3hwbn/s7z2LvvsvYmpzDtvwCVmeWcmTxXg4r3cdD1VOoVqG7vJWjC3dQjDIML3stu7rsFoCfyTTYuEBagC6wLJTjD8KNPeHhTq5sYlfQAP1sNv7x41Ld4MQhmCTPpRazf3kt+4w/xqaeo8mNvpoV299NFuhLdDO9ugMKzwOwNTWXqByvMXjpS89sOvYgk2neGas2axs4ySRPpZbwsvIq3r095nLf6/kCC/pXc1rpOn6x87T6gtcX9/wxOzMnMH36CfT0fJ0o+itbt66iUnmBSiVDe3sn7e1Hk04fw/btHXR3T+waLE1+UYMM6IPpwzn3uA08/zzkbWOO7wpVKWQ7qQa54vJkClGeizu+QmcnpHdC51iNKHqCtrY1DA6up1gcJZPpYNas2aRSR7Fk+wtcum0ZjK8C4PqOt7A5MZeuMtw97bUcMnw3K7reSq0GdyRP4uDqIzyV2I+PdP6Mc0Z+wltKP+VzLd9ka9s+JIYb87ojGwP+rNLGel75r1vew9tHL+d1/VfSVdnO3sDczr9jLH8wv992DOvHZ/KuGb/hksH3c+7IL/lW27uYXt7GO8qPcnHrMURRIn52ahbrMktYXHyMazreydcW/oDSzjRpJu+eVfl2x+d5dMYybiq9iv0mQml/bH8Dn+77NMtGrqMlUeCdvf8at3POxxna1sGq9NEcXbqH5YlhLqhu5CDgvOlfobN6Mh/rXcH8ifcG3NJ6AIlE6yQvslqFNan4KJIlpdUkcg2P7sSRGwC4ve10tmfmsiW3gNmFF2gvDVIkzcbEnsyb0ItPdl7Offu9kz8MnkTSZEOyfPWMD3HOzss5u3IDlaEESaA/1U1XeQcLqzvoYoAKCfqYTo/pq4c7tTs3iuCh1NG8rLyKQwr38XDqiHqGzc3t50x6U1g+P0HmUhFPpA7i2NLtzO1fSxTN4+hSnFn0UP7YprTRZDL25uuHCKaaUzgzGbhx+tt4Y9/3+HPrmUSJiFWZOG//1MK1XMUFjNDK8qFrSFLlr12vZmZn5+RJ/28uu0UevmfWhJtDBCIK3YSvFWxra7yFSRPp7CbMDfb7BbQ61lSMI5GARzJxpsM3tr2Vl43cyz9u/zDZaoG7217NbS1n1NteJsn2aCZRBH25OU396kvNatrkop26bpgk9Fp7eDIVh3VmlTdRJeLqGR/i7a3X8r2uz9TB/pIZX+eGzsYmp1Qqz/Tpy+jo+DgzZnyLadMuYd68zzNjxqtJJjuA5gVjKbwbRx9vjZXPh4rPj5+lEh6qpbGOr5uIQbe9kba2j5PPf57u7r+jp+dNtLbuxYutzS9R+9mMj9Xb+vu5H+JNpwzyZO6QuO/Zz/OxjitY3nYfj2SP4jNtl3L0vgP8Kv+eJsYI0JuJ52O/wmpaayP0J6fzw86PUyXidf0/ZfZonHkzkOmhRJq/OfRB3j5tBalMGzd2vBuAc4cv55jxvwCwMb+oTjISCbhg7q/59N5X8+mZVzJSyjTV7zswk8kYlIrJPHfllkMU1a/ZlN+HtelDaasO8dsXjuSAwmq2J2ZyfefbqNXgrsyrADhz7CoOKq2mmMjy19Rx1GqwLdEgGH35uVOuEQGszcSHDR5UWt2YcyqNfRutpxNFsLbzFfV71qf3pho1rFYpkWXNrFeRTEV1+VBdLS2wrWUhX1pwZTzvVNmamsOqtni9Y//iI3EbEz3UokTTvZIT6bjk68FkDK6HFFdy0tgN5GtjPJR7OVsy85s2pwkfFA5eN/GOib1H42ympeV4r8SD+eOavFpfz9OzXHYBHu04lpMXPs1XZnyDKII7cyfTm5zJy8qr+NGLy1lcXMsZQ78C4I6Z59DSwi4vuwXg53LQ2dkc1w53sSl044DtB4eF78X1RVmfxFyu8bJhv849gUQCvt59MWtbjmRB6RkuX/MKzhz+FRUS/HjmZ3gg/fL683pTsylVkyQSMNIRMPzMrLpQy4V3gZNx0k5eiA/AUlndehw7s7OpRQm+OetrvGPa9Xx0+s/4ycxPGtg3r0uoiLGE4Rv3hvRZOt0IcykN0A2mg6jGXh6RHy3g4x2Gi3xDkdqnLKqBTA/90TQA7kmfwJrckfV2he3vT3bzy9x76a91NtoVNcJU0Khzeyqej46JheANucU8m96P37W8kzQlWiqxOzCQid/jUKlAtRbv0L43t4y1ucOZWdnC4nJ8+uX67KJ6uxIJeCZ/ELdOfyO1iTCZb5LSQrfmXuOn324sr2t5MwD7FuO1gEs7PsdoNUetBndOAP5ZYzGwrJ12POOJWIC3JWfX69ientNkaH2On07uRyHKsaDyLAdUYiA8ZHwl06s72JhZyHPZ/alU4OHWY+vPW5/Zp0nHBMhOWDSf2Yl9C7dPO4tvZz4BwJ3tp7NtYvfygeV4vWtHaiZenE37u5YhZvgAx47ewt/3fxGAG1vfWD8iwWVdcpBKNRIf9i6spbPWzwGVNYyTYU3uyKbr9RwnLCKBPj8bs3tTTORiOU118/b5d7IhMZ9DC3/ltu0HsXT8Doqkubv7zEnkaFeU3QLwUxO58dCYSGcqmhh5An5dGLLR9alUDO4hmIcn/PmirTPvgUwPH1lyK3e3nAzALbkzeOuS1TzQvowHMw3A35qaW3/eeLKFwaij/l3fRJaODhxzpff+uXFzwL+l85wmRv3n3Olc0/p2iKKmRVUvAh6FrhQqkxfki7TQ6L8EPZttpHOqOGjrZTDhWfcOduqfGwloGCG1Q/shakQ8mon3HVzW+okmY+Tz72Cpdk0lE/p7JN1FgVz9s/W5RSQScHHnVxiLYtAcitohl5sEyBWSvH3BXVwy7asMRe1sT81mc3ZhHaD0chT1QXUKHEO50+f+mfpwRfvH+PJeP+a8mTeybMlWftT2dw1Ps+UYxqJ8fV3ooe6T6893hr8zP6dpLPwMnkIlzR9mvAeAfxt4L1QqnDgan1Vzd+fpJJIRlQo80mYMP7uofqxBqGtqvxv1Wi0eiy/mvs75C27i23tewvYJD+vAUry2tCM1q2k8nCBIN/XcpxL7szG5Jx3VARaVnqBCgpvazpnUppDo6C1ye42u5YhSvDN4VfJIiolcU5s9ycPDua6r/tx8Pv7/2dS+nDHtbu5sO43nkvuwPrmA77Z+itHstP8Rhr9bxPCdnRcKzRMSKqK+U+qbXyNGoligp28623RQkmJkMrFrqvNyEgkYz7Tz3rk3sah9K2t27MGcTmA0FqqhqJ322hBbU3ObnrctsQcdlUEABrIz6TJl8RTRUFB1zePJBuDf3Pr6JmD1LCNn1hqX0Fg6uKdScQw/VCz11cM8zsTd9VW9cbpnc7tVtytwqNAOeMlkg9mlUvDJris4JPM4t1ZOo81iw66UodfhfVe/VWRItibnsKDyLAAbJhh6X34uP+7+BB/q/Wd2JHqa2KW7+4Uoz/emfZYftXyYnukVyonMpDHT2548Hu1tUnt9/OrtUz21LCt63sXWKnQkGyEKgHIyy/3Z4zihEOe139+5vJ6Y42tGvdm59TFKJpvDI7UafGfu1zhuxx84vLySbzx3FocP3w7A3V2n1+X32daDGYlaaa2NsCG7qB4jD+U0fGm6rwnVogS3pk6hLYK+TNy+xeV4Ybs3MXMSQZOshRvMqlGS02atYin3sWdhHS9kFrMlvSf5wFv1TLdaDZ7OxoC/cGQtp2fjHb33TbwjwL2T0PNUW0Q83YtwT7pWg83JefzdohVs2dLY93NQ1OzV7aqyWwA+NJhSqLz6XwrgwKTvQ8WXEKZSzcDk14SftbRARwfs3NnsTdSiBDsyezSBbDVK8kjuaI4d+zPbJgBfRmZrcg8WVZ5kZzSNRC5DJhM/0/sl1uov5FCdG6I9+V7rBYymOtianoftjp8SVP07gZYWpUMjobFxYxeyQrnt4cKu1+GAErI+nzf/3+v2sJIAf0NqIQOtC0kMNxss92D0uZRRwKNne4hP/XXAX59dVL/+h9M/xZLoCW4qvLKuzH4qpJ4RRTBEO7lkrGwaO3lMuVyDgPi+D2+r2uevanTgV1udberzVAruzr6KEwq3sCMxgyfzh9ZBvTfVCOlogVpeqxOCWg2GEx18tusyftL3Wk4cihdAb2l5Hfd3LicxMefjlRQrcyeybGwF61oOmeSRel98fPS/HztSrTaypPSOiZ2pmZOMo7w9N4p65lCmm9vTr6Gan0imqDVvmFQ/daotwHC2m23J2cysbOHtY1cAcGPqtZMwQyTIwV/fweTEDpczL3UDVW3e/b+rym4T0mlrawC1M3ZoZotTgYiKC5+Uz4XTF2WhEUMvFpvDBF636vBjFQDuaj0VgMezh9TrTiZh64SbvT3RiN9PJcx6rtYm6n2JIv6581/4Vuc/1gXJld+LK6A/Y6prQ+Pgv/VOVo+P6u8wdOTC7YfQudKEB82FC/Le5ra2+GiEqQyY9+GlvBlozJW74vpMB4oBvJBdXL9/qNbGFw+4mitbPlQ3HCGbdQBzT8vHzQEIGkChz93AentDpu91u5FOJODG1nMYitr5df7dkEjUAXNH1hi+gb+f2S5QSyTgT7kz+GbHF7iz8wzOm38b7+u5tm41NW6fn3k5/7DkWlZ3nDDJaIfeX0jKwtKbbl7T2pGaWde5UEehWfechIRGwY26jijRxs1EAp7MHAzAzmga72r7Lfemjp8kWw7ULjOqT56bEym/3++Rx/u/h6f9F0syGb8ezMFQ29I1Ob6DVpMggZvKECgWrc/S6ZjFa4LcHXSwcWPjYQ2PtafT8JP8x9g8fym3jLyC6abU2yYAZnti1qRwlD+7Wm1+T6cYy0sZtKkAO/QSvN253ORFYi/uwgqAdJ0UTM8S8DrYyfi58vuYefunAmpnslIur0P1upF1efBxCNmygCCKmsMeL6QWwXjzIqSeGwKyM9pw/N1zymSawwBuAEIAd6bsYSoHvXCeMhnYWN2H/fcYpFatsciOIFbIpDc5k3Ii07TeE3oXCjd8c9o/MXt2vKO0OtKQIcn2jvRc7umZS6bQCK86OPpzPdThbdf18jpUBjIzmxIJ/E1cPkbarOhzkk43h1td7tUuyfC/df0zGzoP4qLSBWyK5hLZSaTQyJoaHm54harDjW3Yd59/9Tncyb+ry24B+IlEQ+mlvFLGkD2MjjZ2MDroOwgKyPwsHQ9xhKzLQcdddgmku+L1OG8iycMdx1MZiduUSk2kp00ATG9iZh14wpx/vRHIjY7qnqrPfq/6pHZ5v31xW4xIbE8g47FIPVcKr/HX+IXrBCF7duYTsm6/PvQ+xPIEeOq/A6m8vWo1Nl7QrLThc92Yqo21WoPh90ddDCSnN93nez58/NUuX9AP61Fdra2NU1cLheZ1Bo2Hg6K33cfSSYWPe5MBjRqL9ckkPJM+gHXZA7k/f2LT51rYFCB7n9yoqy0eZkynG2RhqpCg9yMcd28/xOGVIul6SGcw1wjpaFw0zu5Reraej5n01PWqWGwkGWhd7+HcUjb1LGXzc5AIyIb6ns839HxsrFmuQmPtbQjDWv47lJddUXYLwIcGAGpAPSXPBcFjteFkSKDDTBBnXQ76ug5iIe/oaAg9NHsbEF8/OvrSOf7pNKzMn8jQcAe3Z149SVHk7iskova3tMT91+vtVBwUQsBIJmPG4wbNwUxK4wuRAlk/elfFjYUUS0VtliHxBS9vk/c3zH4Idxt75o0UL5ttGHS1QWsFDl5uFLwuH2fNlwD/mcRiokTUxN4lc75JyfsVtlV1q4RALhAS2fCQhX7CLJ6ODti2rfEcgYZfHz4/kZgIY2TynL0oPndpTqLRJu3iDutzQ+1grXnTUQGe5JBMNtYr/HsnUK5Tmo9qFaJExLbkHsyrvAjAzszMet9E8tLphqH0sXfGHnpfHjJzw6r71Eddrzl2QpfLTe0xukfp32k8Q513dl9oPkBzl5TdBvBdyUK3XEonwNGhRaGrDA1hFPC7sVCqIjQEwJU2XIBzoAyNgCuFC94jmSM5bslONm9NsJ8tMLu7KkUMgUtFCu2K6gbO+xsKoK9FeFt1jYO6PhO4a7w0Vi8Vq9Vz3O2eygBL0TSeHjoJ1xjcy/C//XkhQw3HL3SzAVamj6Uv0c0N6bOb1kvCsXNgF1iPj0/2ItQu94b8mIx8vhHb15lPhUIzGAp43JiH4aMwxJUMZEltCosDkHRGAKw6X8o7cuNbq8Xz5vFs10ctWMsDUx8kF5IjB/zeaGadiMhbdePkxCwkE+5BSMddB8PQkhtVlxeNqUijGww3juE86LkeJtV86vf/xvD/PxTtlPPJkuIIAMUCBSLuUsmtdjDzGLCEI51u5NRC8zN0nQtbyIIksFPF7iRUtYnt92Jb/hxnu+5uexHbktJIwbwfYXhBbfMFMVe80IAJjLWuofGXsvtRFw5GU3kMYTjGGZdAXm3S9WqPvB1fXNSYhOEOHwsPJzlgOWCkUvB8Yi8On7edgcGIPYPnekjHDYrH1V2eQsPiRlzXh6DoYyWj4iEtH6tQFgS2+tsZpoyyhxN8jjXGbmjUN9UTpjRqLEKC4OEPJx/hoqvPVa02EeJMzWHiFQvsSM5sIkcaN8mgZM7DO04MPNbvnk+omw7M4XUiNX7Eit8/laGRrPh4+TjqOpHJXVkS//kl/3cUVy5nNH5sgr+L1s8ah8Z1YuOaXFcoBydXWmcQug4a14aLwmG83ZXa63WQ1rUuIM5CXopVeExawO31egzcBTabbYCLC702Tjk7finWGPZNSu7fh15EuAAXsjUfW+2ZeClPRuAm9iywcAPoLDn0ROp1TuyE9VxvhSh0n98b3h/21edehkXg1NLSkMOXyhRT/31+w5i1G3sHeR8jLW5qDD204oYnNFBq71RsVW33FDOwhCMAACAASURBVNVSqZmI6VmaA4UnfW71W7udR6MWSpnWpnEUQDphcA/fvS6N0fh4Y7e8G2fpv4d9fXw9BCUd9fRlJwLhPCUS8UF/MlL+neYmn4c9mpOSdknZLQBfAjZVrLi1Nb4mBGZnyWL4us9DFNCYNFcCfe4KKWPh1lsK4oLqgDMVs/Xdq3J9HaA8KyU0SK6sofEIgUkK62EStTPc3avna7wdmOWJTBXCcSD3Pnr/VUIjqtdI+uf6rTEUWLnhDt1oLcZpfpzZeltkmDysFdbp86/nhsbSr/PwiBYXM5nmOdK1Ihrhs8KUXh9H/R16UmFWmtoooFN9ulZ1hfIYgjI0YufufYVgrb/9xe/6rfp1f6HApHCZxkyAvyM5s8kgOYEJw1Uuf05w9MyOjjiV12U41KdQNtSflpaGjIVyHxpGxwyRA+mB5lPXhR73riq7BeCPjcUpUs4KfTVeAw3N2TTQnKkTAnsIlFJWsTAHUA9vhIwfJnsd7g56xomUxBcSw/Pw9byXEk4907M1xF7y+WZ2piIFdhanTCY3aiEYOLvzfvj1YQaQxtrb7obR51GGJ4y/Q/NmO497+3yFQBJF8Tw5mL0U8/Z7YDJTDbNh3Ki58gtQBeguCw7GHhJS/R4ac49P7VC94ZqGj7XX7YYxDBd6fT5PfhyBh4WmKlPJp4iL+imdU0qqwM9PghUb3zrx2sUdyZlNHo+PnxIr3AB5O0JQdfl0PfQ2TNVHkS8nbL6467ih57sR13VTjbvGZVeX3QLwFY9MBL1xFuCKqXg9NITFwy7+I0XURGUyjUn3eKWzPJ84d4klEKrTldyNEjSeI2YlhXYX1Y2W/g/dZgdePSdkh9lsfH63u/tacHMG5QtMKs4wE4nmNRIHJDcGvoYhIPNQjPrviqWx9IVbVy5XZhWNi8fr3evRM/W5hz6mMgbh31OFD9Q3KbUbgrB/qtNlyWVCi7Y+lyGQhzLj4OaERCUMTagNAt0QnB1E9Z3Hmr0e98bUZmiETkNGrfH0Q9XUBhGQZ7Px2+teSC+uj4kfqSG9kPHXukWYVSOvXmt5HR2TN76F+uN90DVtbQ0s0Bw74fAxd93T395mjY3GJwzL7YqyWyzaOkDrf/12BuVCm8nEDEKs3AUjNBBhmCBk1q7wSgXU96HAyCik03G4yeOGqsNj+dB8Br2A14EEJm+6mkpoXclDBqszwSWAChH45q5arTn0lUrF7ngiERtBAUEIvlI0lanCS/o8NKDOmEP2rHY4sLssuMHRXLin4BuuvKjtkoN8Pt5o5Bvt3ENyYx/Khyt7KENTERQHDh8rX38JZd2NkbNgXedAGxo6fR5m4Tg5CMdbYaFwHKZi9KGcuU6obrU/TOnMZuHh/DGcO+d21mUPIsPk1Fo3KkqVzGYbO2fdm5JBzmRiwA/DsQJef/GR9829OumLCJmMTDiG6leYRRViijz7XV12C4YPzW4TNAu8AN5ZLjQm2V0sT7fM5xts3FmDsz9Xdt2faxyw2BTTd4bihkAC2dE4KBOIDYJAVKlrqtfzgKGhAN4WZ6ECjPCAJmeTroweE3YvRcLa0dHM7qdiJ850fKz0udcZpjiGm8KcjXmM3Y0CTN434WEqjYPPh0oIwM7SZdx8ITK8z8FK4S3dG4Zr/D49r1KJ297e3uxVKWbsIBqSEc2J6vMxd2PqADvVPGm8RCpETNyAuJFTX12vvF4Pf8iIekjHxyGUn3rYJhmxtvsEhjPTm8ibQjGaG/eOpBuSHWh+vo+hy77eJOdy4aRBY5fJxLrppMKf7WEx10U9T/PhuiuZ39VllwF+FEVfiqJoYxRFqyd+XrPr6moWNGdbYtHhrlkdmqSUMb/XGWs+34jZO3DqHgGMXokoAZQiR1EjfOMM2AEU4mvb25s9AVdyZ1zaKexC62GRMIyi4m8Gc+Yi5fZwiS/kQbNhcIbjYx96WGqbAA0mpzDKdQ9DT86+dK8Mqe4VIHo7wnCG0kR9fjUfvs6jedHzQ0atOkLDBM3hGw/rOftUaEZz7ePjLNxJRRTF/ctmGwv37gWE7ZkqG8z75R6kG10nQ872Q8B3eXU5CYmH5kDgrvxyD0Umk42wij7zBfAoapyT7yQklDURtlwu1p+pADs0Ut5WAb2OZgnHTH32ticSMGNGs/FWSNMJYUgsvB1+QJ3a9X814E+Ub9RqtUMnflbsqkoSiQZwhzFfBxf976EAaEyEGL+A0RVZgpPNxi9bgWbB8jpDV16g5i6yFCuMXTtjkTBrkdeVww2YDiKDyf13QdWCswuw+uGhA1cKFTcqITB72EeeiAu5hwtClj/VERbOvHzBc6oTUdvb4z7JlQ/7pHF0MO/qisdCMqMxn2odR0UGO8xOCj2rqVh0eL3LknsHDrph1pjCKOqfA5uzR10ThrCcCAik1TaF8PzecO69b5JTN1Ch1+HjpBi9h/nC7Bqvy5/v8qvPNR9i8iJnep4TIz1PBEUyFiZrhOsP+lzt8ywpD+XoOh9/93Qcl5zVO/PX2P1vSOe/WJLJ5s1QPpAdHY1sAD/cKMxN9pxzX1nP5RqCpfieDoWCZhdawK4XGbiRcSYG8f+ebqnPnGXo2b44JPAUq5G3EoJNGEvU8/zICfV/qvFQfDYU9DClUKw7TBt0lu0hH/XXx1gK6GOoa2SE3etRP1tbm4HLx0nGR/+7sfFMHh+D0PDrPi3E+r1TueQCUicWqj9cLNf1fi6Se1geltJc+/3+Wk2xw/8MqAUqMv4uB25YnVh4jN6fH/ZfJQwl+Xj4HheXJxnqcF7U95CwqZ2uq26ww5i9ezEe4pOnpHb7+KofmvepQkLpdGMR172TkOG74QhlQO2F3QPwPxxF0SNRFP0oiibeQReUKIrOj6LogSiKHti+ffv/74rczQvZpCubBCOMSfoEuwLHbWyApUJBEh59L8CRkWjuY/Oz3TA4OHgKpK5LJGKhkmAq1ivmAM0ZMK407l57PS7QYb8ddNwdVj9CDyKVigXV84rdixFgCjTd6wnrkWIrE0rj6OEE71MIBjCZKes+lRDcJRPhPOgZHh92sHePxENnar8Yp/dTshFm1oyPN8DQWa1Ihu/uFnA6yHoJY/j62xdz9WwfE7/e04Y1z64v6pfIgz8rfLYbO/eofUwdVB0UFa4LyUE+35ANn2df93HDIS/TgdjxQtf480LZ0Zh72z3MGZ79FMpY6Mm7gdD8hrixK8r/EeBHUfSnKIrWTPHzOuAyYB/gUGAz8K9TPaNWq11eq9WOrNVqR/b09PyfNKcej/MsBwmLW/9wEqcCB39GuADk90mIPO99qoVCP4hMLqSKx/r8vvb2ZgOSSMTAKsD36/W9FEjPDfsVGpcwfu1jpWfI+Km+ZLKhjKlUDFjeZ2f3enax2Gyg3LPwMIdvv3eAUtvcyMrbUAmzmzQm/tufFf44kDvI+VqKz5n6UCo10lC9Xe61+E7OMBVTY5vLNepUiEqnaba1TW67+uVhMy9hKEHzqM91X+ixeLqpf64iT8rHwpm9z5l7XlrjcmMoQhAafcloFE32zltbmxeE3UtwEqBQncuvxsPlU9+Hc+xjMNX/MnjlcsNzkmc5bVpDJ3yNyn8LB9S3/4kXoKT+80teutRqteX/leuiKPoBcP3/SV3/tXqagcozF8JJdsF34fRFoDBE4Fkr0MxmfREm3KatyVWowI2Et9lfrejtDxXdwypestnG4rGAxmOfU4FCWFzpNE7hoqrSLD17RcoosJUgp9OxQfBz85Uap3b5wqoAIgR3KYmDufrr4xDOaTi+YTaSA7zaIqX2sYii2MjpRFK/P5wjfR5uNgsNbDLZvFiYSjW/rjOTideLBGoub6HsvNS8CtALhUZYyA21F4Gej5vPQzodb3L0Q+HUV7/ej0pIpxvJCE4E3JMpFBoyISM3FVHxPrknozU3D4v5PMioOAnM55ufMVUdmjPNZZgo4euAPqdqg44I91BS6OVIh0SKdnXZZSGdKIr8ZIizgTW7qi5onlAVhU2cHWgCXZDEdHSP3EbfCAINC+yCISX2NEZn8qFr7W4sNAOGrnOG4kri7qLy3z0m7z/+LNWpekKwU9vCdvgZK94nB5z29uZ69FyNuTZi+fiqPoGoezuebudjrHvdrfbx8f46A3UA01x6Sqva6KAVhor8fwFxGDrx4wYkA/oJDb+Ps9cp4+khAw+1qT1uFPUTZnyEcqNjIFS3e68uz2FfQ30JPWVnybrGDyZ02fJjq/Wj+SqVYmMCjc/D15Jq3J3UOZHzcJP0xz0tHxsZDX0W7oh1PfKNez4XMqAe31e/9HxFHNy7cK9UJMPlfVeWXQb4wMVRFD0aRdEjwDLgY7uqojCm6UAbnkMzVezT2YYEQOfb+xuJwoUbX1iTUCm04yEBZ5jK4VW73cX1Nrjb7cZDQKc9Au4W++4/uZph/8LdjgLmMIMImmO1vujqwO7hI7VX3zkY+IY3BxQfH30ePsvH2NsbgpXGNFQor9eNjwyoxkwvsnAAmMrL0L1h1pR7CLXa5NxyeXBqZ7UaH6pVqzWORdYch6EFzwwTaLrx8PH8fwtfOZkI5zuK4tCRvFvPUnMPV/HmEKR8cd1DPE4Y5DFqTjTvTjxCr1ukzdOKpQM+3jA53OQefRja8vUuPXMqkqbnhKE9GXn1N5GAnp5GVpV0OzxVU7LgRul/iuHvMrtSq9XesauePbmu+HfIIh00YTLb88mGZk9AoYeurtiF7e9v9gT0bP32GL4rlbuwKslkzGjCEJCUwutwgXMD4AuI0JyC5oAXhjdc4VS3h0pCkAjzsHO5OKzhKYWaA/XBmXdowASM3m6PW7tiujfk4w1Th7VCo+3j5vMS5nP7QXEOPL6WEYKoF/cyvG7/TuOp8dL8SckVkw7Xhzwk533xdoYeq8pU3uNUYyIATCbjdqhNzoijqPmVjgLbkCwJ7JRh5eG+ZDIGb52T422SzOi3+qa5DnVVn4vUOCHxsXEPSKAtY/tSnovXrXvkGXpoTQbIiZPmo7MT+vrifnrMX3qva+Xhhn3bVWVXMvz/seKuqi+cKG3KFwLdOLgwu3JI8RQPl7BJqBQLdkEUw0+l4jrFQL0umBzHVdjJ2+ablMKTDJ0BevzbGZxf7zshVacDij5T8fudNYqF+vhM5U67QoSL1x5203daD/DFqyhqKILHRDWGYtShe+wg7kZcbVZ7fZwdQH0cvf8vBaoyXuq7fxceJSE58HUVeQEeZpJMyDj6s90gKf4eZrZ4GzwsIoCTcVN/fOFbgB1mLYXkRXnvoc543T5ezpwls6Hs+Twr/OR64M/U59qUJjlwL1Jt9br1DCdU+l/zoLqm8jK0EUzPS6cbmXa6LiQhIk1Ospycaby1y3pXl90G8EMGLfAYHGwGTVduV1IHMCm53CwXNBdiPVPPkXLl882ZB65IXr+Kzspxy++M1EMZWtxy91ttC8dB/VAcXc8Khd7BRQzd9zW4Ein33cFHrrnYkzNyF/7QhVZ7BCgezwzDU8lkox9S8Km8DKUUuhK6cdQ4eP61FwGP+uIgH3oQYbxY13kJF4p9nJ2o+Hj4AnvonUoGXmoDmOrRPS6zmhMnDC6/0JysoGe4J6DQSgiODvjeDw/tqA0ag0Ih1i833G48Qtbuhk3z5KeIOnjKy3DSEeq35g8a4+kG2cdA9Sm8u3FjY61C7XaP1MOGPjYe9vKiheRdXXYLwA/dbwdsX3gMwxW6Rj/hKXuaON0vEPfnhIDvcWJfwU+nGwc2hYDvbmnILN0dl4BDw4h4vrSu0Zh4nFbupIONlD4MNQg4VU8YEtFYiOE4iLpS6bcbImfxXqZa2HKwc2DXGIdsTHV6XNeZlR+N7Z6V5lLz1dnZ6L8DrT7T8309QZ6N6lIdMh7K4nLwd1n0sddYhDF0v15jJcMVAqKe568PdODyMIPPkc8nNC+qq386xkDGweP53hfV4WRDu701boplez80L64PoUfqhk5tb21tgKbLqhsRjYHCMfl8s6eldvjpm+qT9KZYjMOa3g6P77tR8v67lxsSH5GsXV12C8CPokYMFCa77QLGcJHPwVdC4awkXBDSPS4ccpNh8huRwhDBVCGIarXxzlI3GC5oAg/fPu4C78LmDD90s+Wx6H9tN4fmLJyQobsS+zgnk7GSOYi7wIchL7FyGR/V66xHz5Jr7x6RGzvPJhHgOEiHAOlKpmvCVMdQLvzHvRxXaIU43GD5Rjj1yfvosqF50XwqdKZD1ELQ0/Vh/1xe3Ch0dTWz65Bl+hvDoigmJQJkjbO3339Ldny8Q7kP9UwGQ2+d8ji9nukAqb66TOoeT1t2IHcCo5Cse3j636/XuIdn6qgeJxiu3zqHRyEf77e/yMi9FpE1J3QuD7uy7BaA76xA4Q9Pi3OX1N3kMHwi5ZWiCdh1rYqDow62UszfWZ7HVwXa4XMcXF5q0VZCr7pcwF0JnPmGwKQxceMhAA/HUte7kXQh1zi7gQg/h2bgCX8cINxg+Gab8J2x3g4PD/lYqV4HXg/feZgjdO99XQcmA6vHb0OPUZ+HufduLJ3RueyJXCg23t4eZ3s48/bQjLfN+6zPX2qM5Yl4KEcyJCDq7GwYMGhkuSkrbKp5lFfg7dDfTl6km2FGk54teVMffOOaM3b1yb0rZb6FzN69AumPGL3rvfrqx3X43KquarWRwad7fEzDdSvJ1vz5sfH18XAj7WGgXVl2C8D34uCp4kLgbN2V0plcFDU2mPgzVDwOHkXNsWafSDcs7kLr89AYhVkheoYEv729cWSyBN0NkuKAYcxUgq4F0vDQrnI5PtHQWalOHgyVHBqCr3HzuK5v7gozcpypOlC7MfHFM59Dv14Mye8PwSIRSLb3Tfe5cqr4/IXMVR5WGHv3ov6G4B56GT4/+q0wQy4Xr89oTLTT1o1WmF7rZCL0ZnSPG5ewCJzlsantAtuQrGjOFRpTfzzc1dnZTAp8w50zeYi/8/WDEPQ9fOcGV89xOdE4enhW/VNbRLZkeNybkRxqXFwGnFDJe/CQshMXn4sZMxpnbIWRBoi92cHByfPy3112C8BPJBrhCYUM9Hnoxitu6ICqa/W9Js+v0zUwOcTj7qHYlLN6jx37JiNPI5VHIIH12LIESWxLAJ7PNy+uSvFD1hdFzeEIjY+eobb4S1R0j78T2BfrQsYtBfOjLbwPimH7piUHPympxtQXaB0wHNz1XIXCQvYpjytcSFbdbmicjTkzDAHZZUVtdRnze3O5hpJLLnxOVa/eOFYux7Fhj+Xr3HWfu6naKJlTCdNpVZ/30YHH59K9Bf2vuS+Xm9+OJaKi/nsfPYPGdVD9VhslG/6uYV3n4Q4HXzf80oFwnUJtfiki5iEkgX2od+6Zh2HVMDrghFEYorH0lx258dd1hcL/Av5/uQjwVWq1hlA6CErIPV4uZYHG5LtLDs1K4RMdTvD4eDO4ephFwOM5967wztpUV5g6qu8dUDxUIHfTPwsXCEMjqHY6a9J36oe3SxlFznIdgFxJnSnq2qncc2hkHEEzi3KF1TlCUh5onDg51Ty5PIiJTpXGKkMbbpDxzU1K3QsNhp7hICqDJo9L94iMiB37wrlCBJIRPdu9SScfDsbeb7VNP+G8Okg5OXCm7obD12HUT8+hdzl32VR7NB4Kk7p+icR4iC00wCEpC71LLXaqjzJi3mf99lx5tUExfH/Vpr7ztQ49R2neImi6x2XAPSjvl4x+uCCs9vxffbTC/2QRmLoSOiNwYXAwSSbjQ478eAAxqnDSfGLEJDxXHxqLjGIdWjBTXYrTutKGAO9K6sI3FTMN++bj4cKs5ytGrDbqeVIoAVIq1RBsLdL6eE7Fhh1kfUOZM3cfTwFhuJgrg+BMUe3UAq8OEgvbBY1rtFCvjS4OfBov9/gcsFWvXtChw9G8r6HBV5sFkL6rViVcmPT+ebqms2w9x2P4DtrhGIWfKTTh6xQucxpXeWnhM9zrle5EUQz6Cr8pPu6xebVRISqBrdeh+8Jxn0ovvH8CYzdsOtrEAV6LwwJZ94Jch1R3Pt9on8bNz+lpaYHu7uaQo/qgtnV0TB0GdSwKSWWt1lio39VltwB8Z8supA7cYSaFwE+r69A8GWKDIbCE7BaaWX7Idn2ifXMRNIOmhExpX2FYJizOqFyhXFGcBbkXAM3HQkDzTkQHNYGx99PZl4DCF7vcE/EYvjM1f/mInuFhofC8Gw8t+DEEDqq+BiIl97EUKDuoeZu93VHUvOfA++Ug4SzNx2Mq9q/6/R7/TvLorNn76MZZfXTy4vPnRiNc4FZdHjpUCCk04h72073QfDSAPtdcam79BSW+MOuelXtBnZ3NuuixexXJscu7p8Q6kZGB8r7K0xDp0OF0bgA01+qrZE6A7AbL14acxYuUhK8i1TiEpK6lBaZPZ5eX3QLwlVEDDUVzxdYkaLITiXjy9AYjNxK6X4IThlHEJqA5TJRMNpigBC1c3HOXTsWZgO8unMpDKZUaRiiMP4agHrqwrqiKgaseF1z11dmSjKXCEM7EnV17n93AisGE4OXt13dSzpAB6zkCj9DYeghDY+2xXYWYBAAqWmj24sbd504MMDSC7iW4UVE/1Sc/g0Zs3kmIxtCZvMIGocegufFjIVwuHMgFfn4wnRaBfZE1zDZJJmMg0jjqXp0CqXlWKNHnW8eSeHhLLNuPKPCwodY7fPOZ99kJShjmVFv85UMaA/XTY/Rqk4yMewJqg+rK5WIwVtqm9FvGV3KRyTTepuYEMCQuklX3OLxdu7LsFoDv7B6awVmDqsEPmVi4E1GTI6EOwyzQEMhQSR0wnfU5eIs5qjhz9UVJXat2qW5XUNWlzJ1QOTy9Tu0R41L7vX0huOr52izjzwgXuHwuqtXmhVV33UulxjiF/VOdoesNDe/IjY92sUZRY678HgGsrykIrB3YfFekxtjlyOcplWq8sETXa/2htTX+u7OzwYpd0Z2xC1DEhn08nLQ44Lucady8nQ7yfl0YKkunGx4sNAyB77HQu5wVI/d729rieXQPQcCuN3jJmOl7X4T3jVyah1CnoPGZrvX1KAdSGR15FRpPeRE+rhoHfyezh5mcubvOaV+Et1ntkmcmIyYZDtvsxUmNz/muLrsF4DtI6seV3wHTGb6zOzEx/e0LZw5MDmASFIGvu9fuvqodvkinyXYD4295CgFgKjasukLXfirvwPsQGiSBtNqk8FLIOjyuLqByVufg6cy7VotB0BfP9RzVp3tkDIrFODXWvQcPD4h5dnXFcdWpXkAiYyjQD9mvAEDj6kbZ26T/Nc9i855l5UqvzUv+nLB/AqewznC+JK9+ppOucQ9kKnKgz1xuPBbvIQyNpcYhDL/4upB0R/F5HSXiOibvQDKlZ/leFc2JA2U4DrpO/XC592ukcz6mrkMifHoloRtAyZKYuocA3bBonn0to1JphIa0AO3hNBENJ0DedsmqexS7suwWgC/lcaAVG4FmcPUiBiDWIeV3Cw7NgKx7XKmcWTkzUttciSU4ql+LgVPl/3Z1NTN3X0CKohhY/M1Xarcrp6eRSXh93NS28FRDGTUpiIRfdflagNrroQoPFzhgeuzVQxE+J1IAz94QwHR1xTnN7uF0d8f3jo83szxozKnmP2TFqVS8cO9zHY5D2Aafewch9c8/19y6orsshd6pjxdMfm2fZFwGV3PtYTsHJM8qUVumCpn5vDhgep/csKs+GTmBuV53KZ1yL0P9cUCE5heM+/yIgGl3uBs6ES7pr4e/NB6+mJpMxoaqq6shu57xJWDW3gH9721zr9n1KJWKn53PTz5YUe3WxlC1X+Mt/fRzeXZl2S0AHya7bq6YLrC6zsFRJZVqLOJ6HHaqkIXfq0UYLUJpIchjyKrf2fXYWFynXmMnIVOd7pprUdEXBNVGDxuEjNFZrJiM90l1apFJRqFWa16PCI+uCA+kU8qdj533NWSn0OxBqG6FbXzHahTFY9TVNTkGqri+xs8Xzl25HIjV7nCcvJ0+bx760NqPx2VdqX1x0o2sQMI9CfXbwVdt11qJvytB3qF7eU4k3Fi4/EtmZGTc0/DYf7hZScazpaXZ+1T/NVft7Q3gHx+P9xLoHumGrve9Kh421BhrHKIo3m3c0hIDvi+qS26dnLmsi72L8Gg8/EhnZ+KuUzrpVjKi+XM5d/IjfNG8a7x9/4TGU/3VOoOMn0J3/xNltwB8gSs0K6gPuP4fHGxmDAIWTaCYg2cnhGw/dD8FqBIcfSYFCdmbC2lLS8P6+6Ka90HsSYzA44gKo0hwHATcHfUcdpi8viAwcOB1APJ8ch8LZ/ghiDlbd6MEzX3VeMuDCY1eCOAObDK0ulZ1udI6C/X1AY2f5svT8iRX/iwHDZjssXR0NDwiD5sI5NrbG4DiMuntCD0iBzKXEYW7nEw4GAroFMLxrDNfA9CPdnHrOZ7G6KG0dLqRruopl9C8ltTa2vhfehV6d2qb5C/0qvQ5NE7VdEM7bVqzpyT5bmtrXph3IhImb3idrpc+Hx52Vd89PKl+qa2hzKuv2k0sY6D/29snv6pzV5XdAvAloAIUgcZU7rVyssVwHCAcJEJl9qL7w5xpZwTQDKj63v+XsIrJOYtxFqx7pOwSXgd5Z3/hgqwzGrUtzG2W8kmpHfikPL6QJUbi6yDuxjroe11SMN8glkzG7D3cVSqPJgRIH0+1Swoor0v1hCxX98kQuHL7Yq4/25/hb4MKGX74t+TQDanmUUCoBW4tMLe3N/dRnpbq1rhqkVpj7VlO7mHpWfJcPZyovlYqcVhsxoxmo+weoy9S+yGBer5YrbygtrbmLB036g6y3j6dUqr+eDt9bcgzfjwurjFxY6e5UF80Hx46bW9vTrl0ciL50N//T3vnGmNZdt31tetWVXdVTVdVd3X3tD0PbJwhxIlwEkZRTCQ+EEMMRDGJFMkIUBBIFlKAgIJQjBHfgiKBeEg8rQQciShRZGJssyJG7gAAIABJREFUERHHCaDwgZfjJI4fmDgJicd2PLbHY8+z+lGbD6d+3r+z7j5V1W7frpqau6TSrXvPOXuv/Vhr/dfaa++zs9PGlrmNV8/mudlsfGibgVA+k8gG8368xPxcKPyIobN8FEJ2V0GbdiM9Gfb2Iq5fH0/GiDZhcWktDL7H3+HB4aJcJ4K2tjYgFdLk4NufVubwur09NmZWng88MEarPTRiBWXjYpcb4dvcHO9upTyMJO2wIFIu/+ccd9qS+8wG1IY4l+f+wTX2AjKGiHDV5mYLCdEGexf2qDzG7nvHvwkXOKOKfkGxIdwIvBf3+c5zKAE8KVIW7ZlcuhRx48Z4YR8+6R/CiT76eX196AOyrRyaoo0YJ8aAdSj6MGLgicV0eLacWQnSFx5XeEWWyHzhWb57PjAP7A1gBGxIreA53AxA5vGBx+xF8KJ1H+/g+gET1h/2VsmjJ0IAZc+LsTTYI915udP2LsgulDc2IGB+Y40tuONuuIRkWDD5cnqV87YzGmQCGkVEtMll4eR5Bt5bxPFGZrN2zrfjuDZW9izcRiskFpMQ0IgmQG6LecVw+EXw8IeBcp8j7FbGKF68Ivjd3W1tskeEIjZS59N9g4DbwyCkEzEOP/Fu4kuXxobqypWhHBY26QMUjPmxoQCR24PLqNy/O25ur4MxRtl6zpLbzrtRyQG/eHEACBggx6zdb56DHiPz6rloXjE83tEMQPFaFcYdA+uYeMT45SSWlQxuIubDTb6f36mL9hnwMD9R8t7RnstDwTIGORKQPTWjdGfa2at56KHmKdgIUob1x9pa00eWjfsRxz83Cp+0PCZTDllk8oSzYIPmvKjjAY9ooYYcX44YCw71Ow2N3yjHyJXnHKLISs7PEgYBwRIftBBHNGVs42BhyKgKwbp2LeKxx9oi08rKePcpsV2HRujbLKROWfRiGgSavXGjucb2kkibox0oy4sXh35wHrSN7q1bTTn7SFwbT9CshRLePJYYUR83kRWE+x4erJRQFG7f5mbEgw+OvVH4wNjjwfjsf8ed8TzymBvZ4vXZQ8jpgihsL8x6HAAPzBv6ldi+vdOI8XjYwHv+ec55TtCPyI8NGtdB7LTfqbIYbnvnBiHUtb09GH97Mx5P+qOU9jpOvDfKoW/5NB+rqy32D1250tI4ARG7u7FwOjcK32dfRMwvSoKEIFxa7t3cbOjALl+OH0MgHiYzii8vvjGxmbBWBFYI6+uDO45yjWhx3aykrGhms5YS5rCG+wAl4gWviLFyY2LnzTLXr8+j24hmrK5fH4dZyMzIytQ7UY3ovVCLN0P57seeYQUdOU2OOC4eEzs4jabzIWqcfwLP7BnIaDyiIdutrYhXvnIQUiNBEx7W7u4wRizqgtYBJigU+nhtrfVXre1++glevR7F/KbffNQFyhaD43mY11K4P3uPnkfIGh4p/WK58Q5aPAAUvvuVT+f8m1DyGBQnRnD/9vbQv1lG6CvmJP2UDc7GxuA1eRzzH20lfXJnpyl2g6mv+7qWZeZxQR65z56kAcWi6dwofHb39RZac0ySCclkYmC8yAOSMMLKSJg/b9aoNeKLX2z/Ux588TzoirKMhODZSs6o2WU7BmrEY4WG4Dk0ETE2RihBBILfs7eCYPu6jVDEWIFsbzdBycrT/QcZcVIn45bdZL/k2qjY/QQqR1HBE+E8jJVDI25Xng88b8TmQ+lQ4jZmKGrPA4dhGB8rVXsbtJ9YfPbQeI7+pJ055LO21kIQTjig/ynDoUx7aka5GMZeGJM+8HoEZThEAtrHCLpPLWMRQ3lXrzbeI1osHINgVM+4EBKj/ry5ynV47vh+y67Xojhfx/tjMAyc4mrP0+3K4MsJB4ukc6PweVmJwyIZpdO5Fhi7e6W08AghIpSyJ7xdUITJE8KDZxcevhy+gWcrLyiHdOwBWAFRBusP8MuEQuHkTVKUYwXjSZiNj39zOAv+Dw6aMuVeBJiXwXMMgcNWNngO3dBH9szgkfCVEZKNPELurBDGG8Vio4JQZmOXQzxWpFxz2qf59CYdDA+Lg6WMF8MBK9wPes9rIkbPGIqMbA0SOAPGoZmMJOHdi8mQ5YZnLRuOwfOCHfgBZHlzow22DThImrrsPdPvRvgHB8NcIvxnNG7eXSY7Ynv9lNtr+TRQssLHA/Y+Gs+7Wodz7t3fnqvIjeftouncKHxSxXw2ScQY6SFYRssgYn7z+TNWzggL5AnrCePyHc+0ReeaD6Wya2ylC+/w44lqBY0iIr7seKdz3jN6pHx+u3lz7B24fVaAPVeUw91svFBOTHwUmt/3aUTv97na26AfHRbKAkk73N+Ec4zercwpH756CJ9yHRbzWObv3EvfuG0+c951g+AxRgcHLR0ThO855D6zEs11GvTwHT7xcAijORRimckGhx3Nm5vtqITsUVLO5mZ7uYn714bUoRZCW/AF0PJ422Pc2ppfNAZ0IQMg/a2tIXSTT8K1HDBHHZ61gcohHIMqeMMQP/BAe8YAMIezKAOZWCSdG4UPgiSEYOWcY3YRYyEA2dtY5NxxKzujYg++EWIWaruFRsZW2MSjjThzGzI6ckjC3sfFi22HokMCEQ1FQ5TH2fEZfW1utn7thaYsNFa89m6ee66FArzoi7BnJM2uVfeReYroZ//AA8oTo8rirjfHWHHmLCQrfY+nkZ8XAu1V5THj/q2tIaU2h+fweFZWWmof351Tng2vwx+MM2s+lO//7eFZBhzbJzsnhzw85vv7Q3lkPZUy/O/FYBTd3t7YM/V6krPdZrOWNkuao+U2G1v6zQv1eOt4R16roQzKt0fmOQv/9Bfj6mOrHUbF23Pfrq21jWI5/OZjV6wHrHMWSedG4TtzgI7OiBiB8A5YYqdGfxHzCjWj4im05Unp7fEsysIH9bJKDz+zWduNSfmkDaLAuDdiuM7W9osX2y5DzvUAbSMwEeMJD9KzsbPitNJgkkc0BQMvFh6ItmbkTfuN2o2MaTeC5F2TVkA5Lpq9OS+wUhZK0kIX0eLwjDd1WjnmOogPQ/DhlL+sdK208bwuXmzn0BjJgl7d38SO4RcPFT4dj0cGPC8zkDFfKyst+cDtziFSlNmlS20HqeuazRpwML+U3wNfNijE2S9fHoeBHBYqpYXSeG5np60rRAzyQtYafDGHPaczEHMYiTnMy4yoiz7DEDiZwes2IHrLj8vPm/AWTedG4bPVPKf7ZbTGACMstY7fJRsxRpAMmt107mHgGUyHaXjescUcRiBOyd8DDwwTlLirlYvLMPpi0oEcaCvhKysmytvebsaHe2z4vBjp3ZIYjTt3Ip59dr4v8vqDUbQNjhU+92aPhzGy5+K2wTP1OKPJhoa6NjaGrBorRIxKxHhxjQwuKzuPg5WE+SZVD2Vg3t0nPu1za6u9wBpFCjJF4ef1iPX1IXbs9FYDEntYea5a4aMkySIi7z73OeXxDGcssTPaxj+iIWPqsVwAtuhHvyXO88keDBvjyIwB3Dg7y/LgBXC8MCdk2OBkD5V2uh1ep/OccSopfOTQmz1PPCHLgbN4znxIp5TyvaWUD5dSDkopj6drby2lfLyU8rFSynfcG5vHE3FFFm8HHsao1QrX7h7usgfKKX8RTegRLISEAb19ewhbcJZKFjImj8s0j1ZopIiBnoxE8gQl5IKyoy4UlZERv6FwaHsP+dEnFmpP4oj5OKgVjHc55pTYjK7pBysYGwr+sleRFbFRLMjZ/WDkyhiw+OtMGmLCFl7aZWHPc8ztXFlpGV4OK9AuLzAyPpcvD5koeGoOIZAN4v7P8wgF4nBjjoHn4wYwUtn7MRBxf2N03G+0yageWQEwXbs2bE4CKWPQSIl0iiOhwDye2WDSnzau9szoC2fa2PvnPgMrf3eGE/2bj/n23Ito8ufXarrsnAXHNZ5dNN0rwv9QRHxPRPySfyylvDYi3hwRXx8Rb4yIf1FKmc0//tUj0NHNm+OVb1t0x44RZgamlyNshO8QRCkDCmenpl1qL5qynT2iCYoX/yzAWcC8Y9QLZlb2hKd8/vqtWw09oqRzeIrsENdH/zj0YWHy4jYoy4LA8z2XGBcfgXTMGh5sUOg/KyuHf2woXIfbwkFXXoyFR0ILnOt+/fo4T52wmUNa2Uv0uPTGyYv99IvPtO+FEhifHAaz0nOIAY8ERY2BxlihyL3HIGLMP+UTDjGyzl4M95Khg1fjeLjnM3WyEP2KV7RTTxmHzc123DVt8wFl2aOlPTZOPofJ3qTDVChvPHnPGRs1ykS+vNeA69ngGhR4U6bnq41JTizg88zvtK21frTW+rHOpTdFxE/VWvdrrb8dER+PiG+5l7qOIs6hsDKPGLu2LEZFjBEpq/3edu5JxmSy4GXBL6WFYrKC4zqKy4g9L0KZstBY4LifhWa7+xHzaYM+J9wow/FdngO9WenRf1nRWQB4VVxGPvQVHtO1a+2gKiMlyqFcnwdEnNNvKcrhIBsZb3qJmD8HiBd9uCwWutnEE9HqZc7An9+ktbLSAIbDdlZ8OXzhcaAMI3OPY8TgtVpBcK/ThOERJUO+PWmwGZjQFue0M/5O03Rb7HUSQoQH5NAo2rtN19aaovemLIdLnD/vtQmfJJlBT0bn7HbF8Bm8sT6RTwbtyV/EOEU4e3pZbjwfLef2KHJIyeWiqxZN94rwp+ihiPiEvj9x+NtCqNbx6XQR80iDs7U5jySiTSZvQ88TwDtHs3DxycB6kjKQZBzYU4iYT2ODzAOfPnbWExze+M6ksQLBvQTZc827jFEMbqMX4DB0Ef3QgBGQY8cOKXkhDYGGR7ysnDlhJO/wTkZktCmjZsjIqYfWGK/19aGvr18fo0YDARSHN4jZAPuYCa5huLLh5X/uzWtIKOGMCC9caGEQvBj6yCE5e148S8YM7baxstH0+FEmBr3WFi5j9zAG3cYhe5YYSdextjYAJUI0Hg/a43Bj3u+Q5ZDw0ZUrbV8Kc4wFfBsyf+b562whyx7z2f1rw5I9KXsZBm8u12GqRdLqcTeUUn4hIm50Lr2t1vrue2WglPKWiHhLRMSjjz76FZVxcDB+k46FM7tsKBlfc7glI+6seCL6g5avUR51OZ/aSJk64I+6HfO1IeFvZaWht2efbe4xaAN33uEoQj/EiDNSdjglL6RawfdCXEx0o/+sQByjxeg899xwbXNzyNW3QnYIzuOBcrLbDG+uk/8dSskewerqoByc3nrtWsTv/M68gTdqnc2GUMSLL7bvHk+vYTzySDNqHmcrWRSi+4u1ppWVwQB96UvtuYhxWIPFX/cbnpINxtZWywxbXx+SHcgg296OePrpMUrvyc5s1taMUGJkhNkoGUVTPzx6Tjnzy3Lr8CplwEOWF8sGKcQvvNB4ZL8AZUW0jVg8zyftxlOwTEc0z+/ChbZXIrfJcmqFbw8Omd3YGCdBLJKOVfi11jd8BeV+MiIe0feHD3/rlf/2iHh7RMTjjz/+FTk1FrTd3YjPfW78gohebJaOZ/NIRl1QdslYbMoIETR24cKgMLjuY1CNljMKMBmtWEHlyeKXOCDAXhTKxs0LjUxGL4jh+htFMdlz2MLxa7KAEBKOz6Ueo1q3j35xtor5s2HBgOKOP/VUK8sI6dlnx+fDRIyVL/PFCsLfbXCy8ee9pS+80FJns5J223iWMALlGnXaS9raGu6jH6zkUKI7O0MbObAMIz+bNaVB3926Ndx/69bAM33huL/nl9vAdxtK97MXb69ejfjUp8YAwUoyo3J49LoEbSAc4vWgvPiJl57Ruefb2loL12bZyd685Z21D2/AzGHE9fVBzzz//PC9F9byXLCc8Z1wGOAHb2vRtKiQznsi4s2llAullFdHxGMR8b8WVNeXJxV/GZlgYZmEKFK7nHniRIxdVLvfLp/BNFpj0YznjGopt7eSD7/+P7ufnjSeXPB3+3ZDDaB50JVdbStgjBUxTo4AyO755uawkcZnscDngw+OY7qO02JIoIyuOYAsewU2FBnJWYgdVmKMrPCtWOl/FH3u1xxWcX8xjqxDeFHO9/mY3MwvfHiNhecJrdEmFDrrT711BytC952PIPC8p/2ew15rYS44EcD9n1OArdyZ18wpgJS9haxkDQxIcvBY9cbD/QB5PmdZykq9N7b0n2WZELDXGWjj9ettXSnH4c2/AVMGASQW4MWdeYVfSvnuUsoTEfH6iPjZUsp7IyJqrR+OiJ+OiI9ExM9FxPfXWhfWHCNPkK4VgQUhI2fu4xrCAKE8QKFZWDyRLFCgKCtkL/ywuJSF1grC2Ubmj81VDkt5wvdylMm0oU8cH+WaX7eY47Hw8OijzTj0vBQMKPVz3EKOEdP/9Elv8db15j62MGdkmr0iI0aE1ms9GZVlXnrxWtfJ8czwQ/96PL1Ino0X5H6HfzxEb7gzIs+ZQh4zeAWRkonGfHBf8tzOTks3draOjYxRqdF5Vnostnp9Jc/V/JzlwyFRK2cb9Ow55j/63uQsGo8H/bi7OxzTbU/G5U0ZMQysxw9vJHuZzCUDLJJKFknHhnSOolrruyLiXRPXfjgifvheyj8pOa47m41dLK6T226FnRHiwcHgpqFIXbZfz8azEU0oWECLGOK6CIyNSM6kiZg3MCDEHK+dzVpYAPRhRURdIBQ2x6BwvYkpYtxuroOycGmNfC0UWQD8x+8+kI41AzaWzGbtu98vnIUHheY89jxejLsNSkZZvQwJ+t1xXY6ZtqKhDb2wm8c1eyaltLhxRt9uK2XY8G9sDJ4PfGaFxm+g3wsXGjq0cWMM19fHr8/zuPN9d7eFQz3uGXk6BONx39wcTonN89EyM5uNw3a5P5zlg9z46AT4ZpzyeEBHGVE81e3tQU6toL3RsGcwDCbyuFjhGxCyi9p7FDh8Dl1l471ouieFf5aI8z1QzhnhGwkhAA5LbGwMC4jPPz/evMVgRIwXJSEEcGNjcPVnsyGWalcuogkXystbzK2sjGQ8GRHQmzfbjsOIeWXgg8t4ybMX86wwmLgHB20twwid9rut2SOxwrT34EVjNukQRzYCxdV1/5bS+vL555uA2MAZSebYKF5LHieH1rKH5GMpuJ9P2uL+8NjRp/QFYZn9/fEbpyCUH4rg0qUhDm5jbM/HvGQU7fN8eEWe+9cZWbdvjxcOHSf3YugUUjZCtccUMSjQ/f0BqJAR4zH1PLbcYRisTCNaRlBW2PBtL9B8GDS4H/KYra01OTdY8eLyxsb46BPPLQM1150XbZ2ogWdCCjlzZWWl7bJfNJ0LhV9rO4eEkI63d1tILWzOCuC9ss89N0a0XnxiAvnFE1Y2LObeujX8v7/fyuuhBA44M2KwArc3guCAkr15hPu5BxSxtxfxzDPNW9jcbFkbftZuqoXSbXffRfSzEbxwSyoi2VOMjfuCyZ8VGn354ovD9QsX5oXTnlP2Qiib+/0Cd9xsKxeUdQ5n5c1grtubnVw/SjiXYUXlueWFRRtjnqVfIHsuRoUoqhx+8s7QW7eaZwU/3qXtcXj00fHmvBwCzXs2MFwoQy80k31lD8tGnnpRpngGRvgGEx6HDHiQDRbTWUvI3p/7j/6PaMaKsCWeHuV653TP2FieUPZ45z72xXKNzgAQLZJWjr/l7BNpmSgk3Gwv+Ngi53hsKU3hZ2Lg/I7PPNGMuJigLICySYeJzEYOULf5ymgO4TX6AHFYOUM2JqUM/LIQRjw473KNGE88Cx9lepJmofUWeK6Rkuejid2fNlJeN4D/bKBzKMOI0AvM/t0K1ErXoSErX9fjuh3rp81ctydhxdsrK7eLa26TDVZG8plH5kaOGbvt7j+OLnC+PPPaG7jg4fLldnZ8RqwRY8CREffBwTDvrlwZgxCXtbbWsp6sHFdX28mbNl4Rw/1e1PbY+Y/9EP4zegbh5zHjf4fpPFa0Nc8Fy6zXG/y8QVYpbT8KdHAwjiwsis6NwidWffnyOMOEwUPwr10bkC+hDyP3rAAi5pVrnlwZnTJxUWI7O22hi4nuF2BTV6635/p6MRhybPjatRZ/J0RBdod5px4LH2XkCdpz6UE6xDzddtD57m4zoDm9zd6Oc7u92xny+gLjYcUID7TJuekWTht3yN/dRu63MnTMmrnihTiHo0gdtbJCCXKWDO3wOgQK3konl5PHwsbba020gX7JB5rR98SQTe5/t9kKK8sKfz7GwaHBfKjh2lrbR3LjxjhEydjhiVMObcjraXmeZuPlOVdry6Kivz3uNsxTn9yXPVbLLO23DGfAlI3+/aBzofAZ3PX19go4UALvK4WI0/pI4FxWRs1GJ7bunN/tycbE5m08ly8Pf/DAUQEofbac51xlI56IcXjACtxC7Cwin5CJAbBBsnBkNGVkmducXVH3GyEEXGL6IsdjMVqgqJWVthCHsqC+ra0WWvCilpGjx4g6Ll4cUuci5ncF58VB+i+jZHLcfZSChTb3Ed+vX2+7Rz33GAsrQs9f80I/kLIX0Ywbiq83Z0irzHPDIbWIhnx9dHHmJaNo2uBFTcsM8x+vspT2DoC8yMs8zijZY7+7O8iOzweazZoM5z7rGYBs5PJ8sAcIIV8GQvxOe/Eur10bvweAsnd3x+tB9qo8d+BnqfDvgpiE7ngGnc0NPomORUUfV5Aniu/1NbvgeWGQCc62d5QGrnHE8PuVK+2sGBSu2+JdeXahqcPI1RPd6Mq7h/f2hoOrbJiMUFxXL8xh3qx0e0oCw8v9e3tNWTorBHS3ujpeT0EZwgMLvubBQs53jBrIG4VogYbffCw1ivzKlbEiZvyJc/f6wcrVm5rIoecYBvO9s9PGI69DOAHA/Ut7vXv14sVh/0PE2Bh5MdZ9hkEGCHHapedTNhQZKbM5zKE+ez20aWNjGHt4wUiRe56VaK7ThtvHWPCMv8NjPiPHvFl+/YzfF2FFvr09Nj7Zu2FuvOIVY0PgFF/Prbwe5+u027K1KDo3i7Z592rEWAC4r+eWerJxH52/mnrIq+w2BllRMimcr86JnhkhW6gwXkbiLLxxr8MHrh+E50PGcvtWVtqGGBS9XyvnfjCyd1+gVG048Fx8n40Pv3tSwyO7RhG0lZUh06mUoe0s7Nr1zSEYdrN+4QtjJeq6aD/1ecw8Lja0s9kQcvDuV7KlbGQixsgxou2a9VukUH4cDezd0kZ8Xqg2ZRSb02jzOLmvHHfvIWDXAfEsc9Leqe8l2+SJJxoPLOgCJJyx5pCh6/e8zTIGKuacnCwD9MEzz8y3xW1lfvicLHsz8Oy1Kc93ynAfU4cPenP/7+yM39Xs9FnamXXNIuhcIHxi+DmljnCJjwoG2eQYnJEAA2VFjPvrQc9uKnX7FEB2vOYQjRVSRtJcN+q1Ms6pkX6zj+P7eeIxqTBoxOK5zkIbRB2kjBGaybyurDQ05/pA+OS25wVQwh8cduV9AvCfET5jhYKnLjaO2VvBSPg7isfoFQWwtzfO+6Y+UDGbaGazlgbM4WF+ubzDGxbibKwyWOB67uNssF1ORDsrH4Pp4zwYB9Yk4IOy/BpIrvVADEaLBfmM/qkveyURbf4++GDrb/rYx1h7fD1nsyfJOOK15xflZFTvthjhk4lj+XO40ckdtJHPHhq3YTDvHHniFFTPvVpb6HLRdC4Q/p07TclGjAfIm05As86j3dlpE8eTJVvw2Ww+PLS2Nq88sPIbG21B0ydyPvPM+D7cQAafyWIemZxGBa7PW79t9Cx0kBVQDhtZwL14deHC4LpyUBg8G91Qp+uAb+9B4D6UGmefm9cc13VbaLeFMiupHsK3svRCKfeDgHkPsMdjY2NQ8M62unmzpeiRcue1EdfZywbJ7bVxytkpWeHZQ8Vwr683jyArzVIGo3pwMPD89NNjpD8FcrKy5HoOq1Enitg8mCjb6aZ4KVauGK+HHho2czkVMo9zRDsvyPWsrDQP66mnxsbIWVt37jRj/uKLTUc4DOc1KL/zOY+j5zWGg5emO9SzujrWSbmcRdK5Ufh37ozP8UDZR4yFOqKPtDKKMorPiDYfhORBm81abn3EMLjsvCXkkuvMi6jwarRghQ+ftM11+wjaXA9hhGefbXFWo0n6C9e753V4QhsxRcyHwYwkOY3RRIgA5ZvDXFZIfgZD6XCdDTP39ZRvKS3zY3e3hefcVxkAZAIVspuZct2X5p90yGzAstLkuz1B/+7QDHOee72BzXOM5/I8yR4F//uQN6NefnPoLvNu2clzx+XRxmxIIlrixerqMD7IjsNQlrueAXVdeNl5bYay0Bs7OxGf/3wzoH472qVLg3fy9NPNi5wig4ULFwavkT50eMxzs9dfi6JzEdLx7tKIYZBxc7PrZHQKuvA5KJQzNZm8EYRrGfUYHXsjCmicOox48iJYjqejFMlOsABDKE1iuv49op0HxHNkaljhW1go20oUo2OFb2XZQ4t4UnlRnXHiNXekymUlm+Or8Oy4bA+x9xC+3W4reJSiFXevn1dWWggKQog9Z8y3kTseg4/lZVx8r3nPhgHkSJ1WzCgaFjA9Drm8XmjC71jIPJTSUn292Ej/Z0WbKRuQ7LnxXO5DPnnX81SWE//z+lG+M7YGWPaqAA4GVxGDx0TZGA3i+0chfH/3abR8ZpDSA0+LonOh8NfWhsngNylFzKM+dyhxb6PIHvLKyBuy28x1vlsI7aru7Y15cp1kMbz44lgRWaivXJlX+BFj5eV1gyxMDhHRb71XuFnIIsbHLlsZ5gneW4hzH1ngnaXkPiZH2s8jkAcHLUvEaAnjRSqc3ytsI879HpesCDHAPaPH/6wf9Iyjy+WZnCXk4w6yAYiYR/h5PFgMBXzkkBnxdNYfPMY2dtkguh/c/xFDGXholoXsGeeFYpfJvT5uIs85G12Pl+/Z2xsbs8z/lLdovqmfDZDui62t8SZLy7LP5MpkMBExXg/KIR2O6+jxv0g6Fwp/ZaXF4XweirdAG2HduTPe+m+Fk9GClX0pbdEKxE4EcOuQAAAVPklEQVTaZU618uB6cuR1BoRydbWlq5HhgDD7sCgrQfPI/xld53stQChy+i2fz+MFUQ6VcgyThbPcdxkVZ8OLgXM6G23r/e54PN4cm5iscOi77PpznbbgKfl36skINYc/QJBsKrP3Y54pO889f9J3GQ1nhJ/Jc8b1QM6W8gmpPfQ9FUPOYCYDFN/nfsoGMJcZ0Y6TmBof7jXPKE3+zzKa6/FznheWTxS064dIK3ViQG57Jo81Rr2nC5B1e+G9diyCzoXC93ZxdpZGjCeFQw/ZpbNi7E3gjPCdQuX4ousiq8euJ/HB69fHiBHrzwsucF1pE4uFblPPG/EZIhinvDnHk57duN5x6TKz0uE5901ef6B/qIvvGJuptZSp79RDP/rtVSDZrBwQqozwI9rmJaPhbJA9bj2Fz33mlfUTGxL3tfvP49GbOzm+nQ1mVtzZ88oervm3ArLnmxXe9nZ7qbnbnT97Hqv7p3e/c98h9yvGrAdaLK+mKQNQyjDH3Rbmh+ezy+A0Tc6E6s3LqZAO5XvDZwaBrBn4KBcbtEXSuVD4KK8ce0TZ5QUwx+0yQjUqMwpBufhFBihjQgiUHzEM+Nd8zVjorYhchl3c1dWIxx5rqaM5Hu0JzXtX2dF5+fLY7cb1t2D1BNFC2pvAFtZ8gmdGrrQh1+FxgXrxcX/2wiOZcr/Y2PSMF4vEeRek780vteD5bNTcd1nhm2cDEhQFit1hkIgxis39M9VP2SCQIYZCyegevnoKF3IaYTZQPQM4pegzsWPWu8XN+8rKuAz+eiHMXt9AHn8AWgYEU2PLprmp/qaMTNyf34RVa0uYKGUo/8UX20GIU21YBJ0LhT+bjUMSXjC9erWFRxzSycrWf5AVGydNOh2xlLYRxZQX0qz0e8qv92YgG6aewi+lLWCxazXz3CMr8Z6XkJUY90Y0A2mB9JlEmdee4rbymTIMvbFAaDPiy2EN827jY3R1+fI8Qvcz/H9U3+BN5oVRt4H0PhS+rzmsMIUcp5TaUWEQ+v/GjfmQQa1t57N/y15Hrt/GdsqQcg9GYgrh28O1wvd12kDfEEKNmM4AMv/5/9xf9vB7YGLKo8rjl+viPl41ub3dDL5TSy9cGIwC5/H3+n9RdG4UPi5YxPj8ExSpF5l8DCsIn5X9ntX3YJDGZcVT6/zCW550vUUuJl3O5ad+358V1xTlEFRW7Bk1GWG6XW5DL75JKMiLURBuuccDPjDAvQmef8sx5F5uN7/t7Q1H+k7F3vNibV5z8b1uk9Fw3kj1utcNdebyIDJlQMtG+EZ3PYRvQwD1QjkR4xed9BSf54DDBkeFdLJhnTLGub+9/6RHU2Enz/OrV8dtyeG5zI+f781Zh9cimsxnD9g8lNLOAeoh/Km2RQx7bbxnw94c481vnnvLLJ0TUra2hFosnHaVHVrxuSvZjc+hi9u3h/s4v4RrZFV4t2XP8jtemBVzT1FTR3bP3dZMU+jYIaXcPoSVBdOjED6/kwaZESl/WZD4nZeAOz2tp1z8nd+c/9zj3WcWZSGfMpy0wfU5KwplWso4tTSivQKPcvKY88d6jsvGs7RXETGep1nRTCk59hQAdMgVz8jf5cPzUZTnUg8N08fs0p5SjpnnqXBVbyOdr7vOXj0RbSNanpP5xeSseWWwtbk5eCErK+OTWv15FMK/davtrs8Kn4QMiLei5bIWRedG4VtJ5knl+zIy8f0WMs7QzsKCMsthG+7JSJ7/syLvhU9s/b0N22ghTz4ol5uVfm6j70NYj0M0GL4HHhiMHmfBUA4ZP97CH9E2wpFxNDVevbbwiVF2XT7yl+dIz8y7Tek/FL7flZDHCQOOlzKleEwZJWZEibF3DJ/yPKY9hD/1ySFo9DebltbW2svmMcwZTGS03JtP+Y/fcxiMDYU28lPzNBveLI9ZmZ80M8c8eZMfSpvzi9hZ34vhu6zemlFP4feuR4yPteaFSSsrbbxsfKD7sWi7evwtZ5+cPRMxr/B77p5DGXlgZ7N24mW+Tn6zy8nCmw0A92SDg/DkhWPK4ix9FNXly/Nt7018G5iVlaZwXa/7B5Tp0Euv//w74asc0vFGrtwWvChy5VmYdt+5HVMGMaKda5MVI2mzlGfleONGxGc+M3wnvm4DnT2xnJLX6++eoeV3j4P3VPgZFCZ0N4u2hJkihrnBYqH74+rVsReB8Yno7+Y1ZWNqg8n9hK1IHjgO4RvJ04bMs+vjf+7PBmuqHn/PawCML3KZM4x6POTfewrfz2OEV1fbkQ3ZINy6NV4Dux8I/1wofAtJRH/S5QFikHs5z6UMiDfHuEsZxxZ7WQ4Z4e/vz5+Jzv1G9K6rxxMI1xOkR72Jw3k1zk5CObJQHNHCRl/4wrgN7te8LtCrOwt3RtPUw6mTU8/lMm7fbu/oZcxROE891RfabOguXBiU4J07Q7/wXlnGoqdc4Y0zc3qUQzd+zqjdnmE2aj2D57a4TZyoubfXXmE5Ffrhfyuq3FdTY5mVnA2j78v3T4EpG2BAhn9nnDNfGUz1yvXL1s2PnzUIOgrhm/cpY59/4z48Cl7K9Pzz85v52K38+c9Pl70IOlcK34uPOUUuYixgTBCUeL4vT2yIMAJvtHL9lMGk2t9vu0NBXzmkAOo7yhXuufdTBLrY2GgbXHJ5bE67eXOM/hEE+onfmcCz2fiQqojWh26/Benq1eEALN9DzJnDyqbabIEFbeOqf/azrY6p8Jy/u3/JNvJ9U8rVyoyd2T1y6ICX8PB7zsOH8tEIpp7xskJZWWnx32wIjjIg+b0Qri/X7/bzP+Ebl9tbF5hC3g7peFeqkX8+6mRqfvH9pIudpQzzlbz8z31ubMR6QM5E/x6H8EnppL96Bozdz0891fpwuWh7QsrCm7N2IE8gBIa3UvmePKGIoxN/ZoKgtHtCu78/LE7OZmM+1teH0EIv9ctK1uGFjHT82Wub39BEHVM5/RHj0zZ53sdArK7OL8jxbO9QMO8kzIvh8MCppfDRM9DuH9JiszeQ234Uwjf1lGLPy+gZgF6/5x3MXuzNCQNTvGUFnUMN5skbiZibPqoi94uf7dWX2+U2+Bnkhft54Y/5Pqq/ctshz3vAlPnGQ+0laPTqyyDP85U5mg3eFKI/SvYykNnZGb9yk3ZxhIOJs3mO27vw1aRzofBZpHIuOhkWEeP0p+wS+vjePOD8Vko7OzuTJxwbLNbXBzd7f3/sCVCeBWjqE8RoBJ5565ENhZVjFn7/dulSO9XvqEntmCe/G5VYuLwZLfdRLreU8c5D82fjmhe5Mp89/nu7Tv3ZG5vc5pOQn/PJlTkM5vYfh4Y3N8dvvppSRGtrw1HCPkbB1/0/cpLBRe7H7e3xYXa9eRMxn3UyhZL5nYPdesd4GETlenoeV6apueDvDq/1QrL+/yQK34Sx8j6HvPbgTK/ZbPy6xvtB50Lhg5qmFoCMdCPmFUkPhfTQUY7PG8G5DFLkMABeNMvC7bxwo+CI/iFgx02+nvCWMiAMTv+7dKm9WYp+yW06qi63wQvOhGqyYeTgODykKQUyJXRTiCyTFfbUJ4QByQrmKKTYqzff54wcTi3NIZ2sFDNvruskY0/fe17n6/x2t4uEfh9ybnOPTrLI7f0uEHPE6z15vWEKLPTa4nHzdSv8vDdiyvvg2YsXW7plvsbzDz44Bp75EDeMssc2y/0i6VzF8ImFEddlYBzj7yGKkyCDiPkJlw2KF4WuXm3lE8NzWXkDEBOB8AsTIL9o5DiUkRVoKYMSfuGFsTvrMnpGgt/zfc5q6OUP++wR8/TKVw5Gpye0PSLjY2enISG/8m+qH/LvOXPL43/lSltbmVLwJ93wxnzyXCMN8Mkn+8ZkireeEe9dP84g95S0j3nInmwmlLNz1fNcyc+hRKe8ltwm9zNhqf39vjc0ldHVA2dT9drgbW+3BdVcTv50WuWTT06nUGYDncFURH/fzf2ic6HwcaVWV9v7T69dGzqbHNiIPsL3an1GnT10mCddRgUMJgrLL+vwwK6tDZOHiXPxYsRrXtPSBrk/x/BPEtIpZWj31tZQP2saV64M353RwrZv587nCU+skQXbjFRPojjcf1lYe4YFVOn1hV5IJ9eTEabXIXo8TYUK8vWphbx8b343Q0aq/swb/aApBX/UgjGfPY/A93gt5yhFCW1vj0+3PE5J7e31s8yOo1LaqxMjjk5iyM/1rls+fY/BoTdfMnfY9R7RXvbiTK67bZP7gnLtFed7F03nIqSztja8gi9v+IGywkcwcpgAysI/dT3/FjE+EIt88Fw3n87pZ2E4K4g8aY8LLVD3nTvjl1uD7FmzsLfDe0Wn2sYegNwW5zSfpG94xvf1jkPOz/bG4yhBN49TC6NHIfqNjfkF5JMoHr/Q3OOdESTkF9KctI7jPnsG1P1nhD8Vw+7V2wv59Z7LXvNx4zRVrwGPjczdzIX8W+6PnGXHi3hoK2uDR4Gso/rN5fh7L5Pq8uXxS3UWRfek8Esp31tK+XAp5aCU8rh+f1Up5YVSyq8e/v2re2d1mmaz8fngmWodrhEScLphbzJP5eVGzJ8WaSEzIs80painEI3/Pw5BZ8qhrPwMO2uzgpiq3997KaRTygDy9RzS2d1taXimvEjLmf2Zn/yZ+54UxvxaOjZ/9Q4ey+838GePeJaQxJSBzr/12tSrM3uaU9envBlTL9PlKHCT+Zqax1DPKz4J9dpiwzQVw+feo/L+c/vMI0aQ71n2e2Ue11d5fHqAJgO57Pkuiu41pPOhiPieiPjXnWu/WWv9xnss/66oJyCEdLa22jtAZ7PBotY6GAGjrEuXmnHoxd56oQxf92mSvnZclkg2HPCeJ8ZJEKcVfil9fqae7Smm3j1czwbuuDKPclv9LG+98oapqXt7v9MH164Nx1Q7c4JPXjiTf3fbfG7+UfVGtIXwqayq3J9eOM9198jhhx45jESGF+mARvjcczehuCnjcNw4HIfwj2or5JTdzEMpw3pZxLCj1ff01hEsv9wz9RKUqTZNfZ+6f3W1ZW7dvj0f0oGvM79oW2v9aEREuR+m6R7o4KC526C4ixfbYWhGcyyy9hYIKcuxUn9GTCP8KVRMrjq7aAnH5Hs9OTimYIpYl6AcHypm2tiYVyAnQfhTQt8TMn7nz8/bqOX2IoRTvPf441kTbvlJUVtGkschWl/jlXZTG8FyP+WU3VzeFMLv8cwprpcuDeXu7Q0L9flepygf55n5WcKPRwGNHu9TNNUWX3e2GllvU/dHzIdoOf4jo2e32/JGnXer2KfICj/rk2xw7xctctH21aWUX4mIL0XE3621/rfeTaWUt0TEWw6/PltK+dg91Hk1Ij53D88vms46fxFnn8ezzl/E2efxrPMXseTxbun3neSmUo/xI0opvxARNzqX3lZrfffhPf81Iv5WrfX9h98vRMQDtdbPl1L+cET8h4j4+lrrl07O/91TKeX9tdbHj7/zdOis8xdx9nk86/xFnH0ezzp/EUseF0XHIvxa6xvuttBa635E7B/+/8ullN+MiD8QEe+/aw6XtKQlLWlJXxVaSBSplHKtlDI7/P/3R8RjEfFbi6hrSUta0pKWdDK617TM7y6lPBERr4+Iny2lvPfw0h+NiA+WUn41It4ZEX+l1vrUvbF6Inr7fajjXuis8xdx9nk86/xFnH0ezzp/EUseF0LHxvCXtKQlLWlJ54POxU7bJS1pSUta0vG0VPhLWtKSlvQyoXOh8EspbyylfKyU8vFSyg+dNj+ZSimPlFL+SynlI4dHUfzAafPUo1LKrJTyK6WU/3javPSolLJbSnlnKeX/lFI+Wkp5/WnzZCql/M3D8f1QKeUnSymdNyjcd57+TSnlyVLKh/TblVLK+0opv3H42Xlb8qnz+A8Ox/mDpZR3lVJ2zxJ/uvaDpZRaSrl6GrzdLb3kFf5hNtA/j4g/GRGvjYg/W0p57elyNUe3I+IHa62vjYhvjYjvP4M8RkT8QER89LSZOIL+aUT8XK31D0bE6+IM8VpKeSgi/npEPF5r/YaImEXEm0+Xq4iIeEdEvDH99kMR8Yu11sci4hcPv58mvSPmeXxfRHxDrfUPRcT/jYi33m+mRO+Ief6ilPJIRPyJiPjd+83QV0oveYUfEd8SER+vtf5WrfVmRPxURLzplHkaUa3107XWDxz+/0wMiuqh0+VqTKWUhyPiT0fEj542Lz0qpezEkP31YxERtdabtdanT5erOVqNiI1SympEbEbEp06Zn6i1/lJE5Ay5N0XEjx/+/+MR8WfuK1OJejzWWn++1sqbJP5HRDx83xlrvPT6MCLiH0fE346Il0zmy3lQ+A9FxCf0/Yk4Y8rUVEp5VUR8U0T8z9PlZI7+SQyTd+LVDqdOr46Iz0bEvz0MO/1oKWXruIfuF9VaPxkR/zAGtPfpiPhirfXnT5erSXqw1vrpw/9/LyIePE1mTkB/KSL+02kzYSqlvCkiPllr/bXT5uVu6Dwo/JcMlVIeiIh/HxF/Y9HHTNwNlVK+MyKerLX+8mnzcgStRsQ3R8S/rLV+U0Q8F6cfivgyHcbB3xSDYXplRGyVUv786XJ1PNUhL/vMItRSyttiCIn+xGnzApVSNiPi70TE3zttXu6WzoPC/2REPKLvDx/+dqaolLIWg7L/iVrrz5w2P4m+LSK+q5Ty/2IIif2xUsq/O12W5uiJiHii1opn9M4YDMBZoTdExG/XWj9ba70VET8TEX/klHmaos+UUl4REXH4+eQp89OlUspfjIjvjIg/V8/WhqHXxGDYf+1QZh6OiA+UUnpnjp0pOg8K/39HxGOllFeXUtZjWCh7zynzNKIynB/9YxHx0VrrPzptfjLVWt9aa3241vqqGPrvP9dazxQ6rbX+XkR8opTytYc/fXtEfOQUWcr0uxHxraWUzcPx/vY4Q4vKid4TEd93+P/3RcS7T5GXLpVS3hhDiPG7aq3PnzY/plrrr9dar9daX3UoM09ExDcfztEzTS95hX+4sPNXI+K9MQjYT9daP3y6XM3Rt0XEX4gBOfMWsD912ky9BOmvRcRPlFI+GBHfGBF//5T5+TIdeh7vjIgPRMSvxyBbp771vpTykxHx3yPia0spT5RS/nJE/EhE/PFSym/E4Jn8yBnk8Z9FxKWIeN/9eGveV8DfS5KWRyssaUlLWtLLhF7yCH9JS1rSkpZ0Mloq/CUtaUlLepnQUuEvaUlLWtLLhJYKf0lLWtKSXia0VPhLWtKSlvQyoaXCX9KSlrSklwktFf6SlrSkJb1M6P8Db8wwCW3cdS8AAAAASUVORK5CYII=\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "for m in result.measurement:\n", " plt.plot(times, m[:, 0].real, 'b', alpha=0.1)\n", "\n", "plt.plot(times, np.array(result.measurement).mean(axis=0)[:,0].real, 'r', lw=2)\n", " \n", "plt.plot(times, result_ref.expect[1], 'k', lw=2)\n", "plt.ylim(-15, 15);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Solve problem again, this time with a specified noise (from previous run)" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "10.0%. Run time: 40.24s. Est. time left: 00:00:06:02\n", "20.0%. Run time: 77.66s. Est. time left: 00:00:05:10\n", "30.0%. Run time: 123.28s. Est. time left: 00:00:04:47\n", "40.0%. Run time: 172.75s. Est. time left: 00:00:04:19\n", "50.0%. Run time: 220.48s. Est. time left: 00:00:03:40\n", "60.0%. Run time: 265.02s. Est. time left: 00:00:02:56\n", "70.0%. Run time: 305.89s. Est. time left: 00:00:02:11\n", "80.0%. Run time: 336.40s. Est. time left: 00:00:01:24\n", "90.0%. Run time: 359.65s. Est. time left: 00:00:00:39\n", "Total run time: 395.30s\n" ] } ], "source": [ "result = general_stochastic(psi0, times, d1=d1_psi_func, d2=d2_psi_func, \n", " e_ops=e_ops, ntraj=ntraj, noise=result.noise,\n", " m_ops=[a + a.dag()], dW_factors=[1/np.sqrt(gamma)],\n", " nsubsteps=nsubsteps, store_measurement=True)" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plot_expectation_values([result, result_ref]);" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "for m in result.measurement:\n", " plt.plot(times, m[:, 0].real, 'b', alpha=0.1)\n", "\n", "plt.plot(times, np.array(result.measurement).mean(axis=0)[:,0].real, 'r', lw=2)\n", " \n", "plt.plot(times, result_ref.expect[1], 'k', lw=2)\n", "plt.ylim(-15, 15);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Using QuTiP built-in homodyne detection functions for $D_1$ and $D_2$" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "10.0%. Run time: 65.15s. Est. time left: 00:00:09:46\n", "20.0%. Run time: 122.95s. Est. time left: 00:00:08:11\n", "30.0%. Run time: 166.42s. Est. time left: 00:00:06:28\n", "40.0%. Run time: 217.26s. Est. time left: 00:00:05:25\n", "50.0%. Run time: 267.44s. Est. time left: 00:00:04:27\n", "60.0%. Run time: 325.35s. Est. time left: 00:00:03:36\n", "70.0%. Run time: 372.25s. Est. time left: 00:00:02:39\n", "80.0%. Run time: 439.13s. Est. time left: 00:00:01:49\n", "90.0%. Run time: 490.72s. Est. time left: 00:00:00:54\n", "Total run time: 538.31s\n" ] } ], "source": [ "result = ssesolve(H, psi0, times, sc_ops, e_ops, ntraj=ntraj, nsubsteps=nsubsteps,\n", " method='homodyne', store_measurement=True, dW_factors=[1])" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "image/png": 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08nFi2eze+LiI3rMg3ChaOjH7Ar6yLB+TJMkJiAdukmX5zKXOEYm5dTKZZAqq6sktr6O9l1Pj1yK3pKJkSpfdimv1BXZ538WQue+hVFv24cFkNPHbhtXIccsYrYzDDi04+kC7IRAUY6717ez3x37cEhj15pnsuScg6wic3wb5CebEHTEZBj3FnjJ3Hv7xGE4aFd/e05sw8e5ZEG4IVh3KliTpF+BTWZa3XeoYkZgFi9DVkLhoLl2KNpCjDsbzti+wbRfT9HbrK6iN+5GyPV/hp0+nVuGAKmoaNt1ugcAYUDTi3Xp+gnnG+7HvzT3qyOkkd36EO9cUUac38vkdPRjYQZQcFYTrndUSsyRJwcBeoIssy5WXOk4kZsGStq37logTr+AnlVDf+RY0QxaAV1jjGpFlyD4Kx3/AdGolCkMdp0ztqIq8i5hJc5BsHZsWZE0xHFwIsYvAZKQi+hHuONuPM0VanhsXzr0DQlrVVpc6g4mCynqySmtJKawmpbCK/AotWoMRncGEn5sd0UHu9A5xI9TLsVXFLgitkVUSsyRJjsAe4A1Zltde5PNzgbkAgYGBPTMyMixyXUEA2H4ylYw1L3GHYiu26JE6jYeut0LIIPOkrIsxaCE7zlxAJXE1lKVjVGpYb4xhvXIUj991Kz2D3CwbaFU+bHkOEtdgcg3hU7v7+SAtkKk9/HhzSiQadfNPZLsYWZY5kVXOxlN5bD1TQFZZLX//1eCsUeHnZo9GrUCtUHChuJriah0AXfycuatfMJO6trVa/ILQ2rV4YpYkSQ1sALbIsvzBlY4XPWahOcRnlPHE0u3MVm7hLvV2lPVlICmhbTfzu2B7D/OkrOp88xaVBYlgqAdJgSl4EDtthjA/IQAfL2+W3B3dvEVMLuyGjQugJIUUz+HMzL6JNv7t+GpmdItOCpNlmd3JRby9KYlzBVWolRKDOnjRxc+Ftq4a/Fzt6dDGEW8n23/0imVZJqOklr0pRfxwOIPkgmo8HW14bXIXxkb6tlj8gnCtaOnJXxLwLVAqy/LjDTlHJGahuSTmVDBzyRE0ChPLRkp0rI41T8SqLoTaYjAZzXXBHduYlzUFD+SsbWcW/JbJ6dxKxkf68va0SHPRleZm0MLBT2DvexhkBR/op7LWZiKfzexNz6Dmrwl+Nq+SNzedZV9KMUEe9jw8pD2jO7fBRVdg7tnXloC20lyG1cYBHLzAMwzU/3xwkGWZQxdKeGtTEgk5FUyI8uXVyV2sVgBGEFqjlk7MA4B9QAJg+uPDz8myvOlS54jELDSnc/lV3L00lryKeiZ3a8u/xnSi7d8KgPwpPqOMJfsv8HtiPu4Otrx+U2fGdLFCb68sHTY9DSlbOK8I5gXdbKZOnsaMXgHNcrnCynre35rMqvgsXG0VvBpdx1jbRJS5ceYdx/4qzXoRkhI8QiGgD3QYBaFDwdY8s1xvNPHl7lQW7kzBSaPmmTGdmN7TH0UzLmUThGuFKDAi3PBqtAa+2J3K1/suYDCa8HWxw8/NDidbFeV1eoqqtGSW1uKsUXFbn0AeHByKq70Ve3iyDEkbMG16GkVVLhuNvTkftYCHp45EpbRMhbVanYFFe9NYtvcs/UzHecg7gc41R5C0leaE6xsFvl3BJwpcAsDBA2xdzMP9uhqoyjXvMFaQCOkHQFsBCjV0HAvdZ0L74aBQkpRfyQvrEonLKKNnkBtvTom8JmqGG00ysixb7OstCH8nErMg/CG7rJaVcdlkldaSU1ZHtdaAm4MaV3sb+oS4M62Hf+uqwqWrwbh/Icb9H4FRzx77kUROfw6f0K5X3WSdzsjGuBTid64kRnuAkaqTaOQ6sHOHTuPNPd92gy89Se5ijHrIioWkDXDqZ/Owt7Mf9J4DPe/GZOvK2uM5vLXpLFX1Bp4cFcacge2atRBMQ9XqDFwoqiEuvZQDqSXEZ5RRVa9Hb5RRSNDW1Y4QTwc6tnGibzsPerdzx7klXm0I1zWRmAXhWleVT9qal/BNW4tG0lPgMwTv/jOROowCTcO210y6kE7i7jW4ZW6mv3wCjaRHr/FA3XmiueBJ8CBQWuChxKCD5N/h6CJI2wtqB+h+B/R5gBJbf15Yn8jmxHx6Brnx1tTIFi+qYjLJHE4rYVVcNgdTiymo1P71uQB3O/qGeODlZIutSonRZCKjtJb04hrO5lehM5hQSDCggxd39AlkeCdv0aMWropIzIJwncjOymTfT28xvGYT3lI5RoUaAmNQ+kaCdwQ4eptnmiuUUF1IbVE6uRcSsc07SoAxG4BylRd17cfh0+dmpKAY87HNJT8BDn0OCavAZIBO45H7PcyvpYG8/NsZqusNzO4fzGMjwnBs5pGKnPI61sRnsy0uAfvyC0TYFtDPoxZfWy3uyjpc7dU42DuaJ7Y5+4FbMHi0B6+OoFBSrzdyPLOc/eeLWBOfQ35lPb4uGp4YESbenQuNJhKzIFxH9EYTa+IyiN23hYjy3fRTnqW9lIstuoseXyI7cV7dEVVwPzr2HY9juz6Nq1ZmCVX55mIqcUugrgza9qC6xwO8md6B5XF5tHG25YXxEUyI8rVocZJ6vZE9x8+SfGQT7oWHiZESCVEU/PcASfHHZiMu5v/X15nfn2v/Vg/Jxgn8e0LQAAgbBT5RGEwyO5IK+XJPKsczy+ni58xLEzrTO6T5Z8831p/FYQoq69EaTDjaqnDUqPBztRPrzK1IJGZBuA7JsszhC6XsPlfIubxyavLPI9eVIRn1qCQjzp5+dAkPZ0hkKF38nFtHNS5dLZz8CQ5/bt7n29mf7I538WRKFLH5Jvq39+ClCZ2bNjmsvpKMY9vIOb4Fj6LDdMRcvEirdMAUEINd2GDz6IJnB3D2v/hDSl25eXZ80TnIjoXMI+ZJbsjg5Asdx0HnKciB/fg1oYC3NyeRV1HP+EhfnhnbiQD3ZlzzfgVFVVp2nyskPqOMY5llpBRWc7Ff65IEQe72dPRxol87D4Z09CbY06HlA75BicQsCDcQk0lGbzK1yPaXV81kgpStcOhTSN+HrLQl270fXxR1Zkt9F7qHd+CBwaH0DHK78gNFfSXkHqP8zE7qk3fiVXkaJSa0spp0h0hsOwwlsOcYFH49mvYOvboQUrZB8mZI2Q6GOnDwhvCJaMMm8VWGD5/vTcMkw5yBITw0pH2LTSQsqKhje+xJks6cpKYwDR9K8FLXE+go08YeNBoNGo09aJyptvGiTOnFOYM3RyucScitIbPUvBNaOy8HpvXwZ3pPf9qIvcKblUjMgiC0Xnkn4cRPcPZXqMwBIIs2HDOGUmrTFhfvQHzb+uPpoMbdToFKX4WuJANTWQa2xWdxrk1HgYxBVnBSDuW8Qw/cOo+gz6CxuDg308QyXY35weL0Okje+keS9qImdBxLy7rxQYoXHk52PD26I9N6NMP756oC6tMOkXlyN4bsY/jUp+IuVf/jEFlpa67prrIDo85cwEZbiXk33j+o7MC7E5VePTkmhfN9rh87Mk0oFRJDwryY0SuAYZ28UVt5gpssy+RX1nMyq5yUgmqyy+rILq+lut6A3ihj+ONB1M5GiaudmhAvB0I9Henk60QnH2dsVK1vgp5IzIIgtH6yDDnHIOMAhsxYtBlx2NUXoPirTtF/6WQlubInKbI/qeoOVHlE0abzIIZ1DW3e0qkX81eSXm/+r74WvcaT7fTmu8rulLp3Z+7QcCZ1a3t1CU5XA/mJkHcCY+YRdOlHsKsxT+TTyipSFcEYvDrj27EXXkER4BoILv6g/t8iOhgNUF1gfgAqTjavQ88/Za4Rb6gzX849jNOqLqwuCeL3mjAkRy+m9fDnll4BtPNq4uYtjZBbXsfhsxmkJJ2iJDsZm/pivKRyXKnGVW3EzcaISqnCpFBjVKipkJwplp3J0jtztNKDFKM3WmywVSmI9HMhJtSDwR296Rbg2iqW6YnELAjCtclkxFhVSE5uFkXVegprjNRih6OnH55OdgR72OPhaNl9t5tEV2Me7j69DjllK5K+Fi02nDC147y6Ez6hUXTrFo1H23bmZW42f/ToDfXmbUArc81Js/SCeSQh7yRycTKSbH44KcSNOGMHTis74Rjaj+h+Q+nZzqfpPXKDDvJOQPp+yDgImYdBVwVAtk0IW+s6ccAYgTEghpv6hjOmi49lJ47p66H4HJXpJ8g4G4cxL4G2ujS8pX9WnZORQOOCpLY3l4KVZfMaekOdeVKhbPrHsbUO/uSqAjija8O+yjacMoVQogmif5gPQzp6MSjMC08rff+IxCwIgtDSdDWQugs54wCVyftxKD2DCkODT6+x9SZd3Z79NX7EagNJU4USFR7OhK5+DAzzbN45BEaD+cEgbQ+k7UHOOIxkrMeIgmSTP6cVHVAH9KR9RE86RfVG6dDA2ei6WvOkv6JzUJQExecwFCShKLuAQjYCUC+ryVIFYfQKxyO4C54BnZDcgs2T7uw9Lj1PwGQyJ+c/RwOKU/7735IU88MPoJNsSZKDOGEIIlEOQevVhZDwXgwK96Wrf8v1pkViFgRBsDajgZyMcxw8coSM9PPUVZfjLNUhI6FQa0BtR7rWmVSdK9myFyW44OloQ592HkyM8mVIR2/rLW/S10P2UeS0fZSnHMSm4AQOpqq/Pl2ncEBn54XSyQc7B0eUas1/l5/pa6G2FKry/lF33YiCLMmXs4a2pMh+lDmGERTeiwF9+tDepxFV5xrCZDQn6LyTkHcCOfcEprxTKPXm9/JaWc15uS2ZCn9kzzC8A8Po0CEcF+9AsHMzL6ez8Hp/kZgFQRBameyyWvanFJNdVkdZrY7KegMeDjb4uGgIcLMnyt8Ffze71rHM7f8zmagtSifhZCw5ySfQlmTgbCjGU6rEDh0OKiMaJegVGnQKDZU4kG1wJU3rRIqhDSmyPzUOgXQL8aZnkDt927kT4dvCS/pMpj9eGZygPvMYFZmnUJWm4KYvQMH/5sEqj644PbLXYpcXiVkQBEFoNrIsk11Wx8nscpILqkkpqCK7rA690YTRJGNno8TP1Q4/Vzs6+zkTHeTeah86TNpaks+f48zZMxTkXKCmohSltgI7Fw8eePo9i12nMYm5FVXvFwRBEK4FkiQR4G5v1cIqlqKwtadT5+506tz9r4+V1egoq714Zb2WIBKzIAiCIPyNm4MNbg7W2wbWKkPZkiQVwR918yzDEyi2YHuthbiva8/1em/ivq4t4r5anyBZlr0acqBVErOlSZIU19Cx+2uJuK9rz/V6b+K+ri3ivq5tra9umSAIgiDcwERiFgRBEIRW5HpJzF9bO4BmIu7r2nO93pu4r2uLuK9r2HXxjlkQBEEQrhfXS49ZEARBEK4LIjELgiAIQisiErMgCIIgtCIiMQuCIAhCKyISsyAIgiC0IiIxC4IgCEIrIhKzIAiCILQiVtldytPTUw4ODrbGpQVBEAShxcXHxxc3dBMLqyTm4OBg4uLirHFpQRAEQWhxkiQ1eEdFMZR9lbafKeCpVSdJK66xdiiCIAjCdcQqPeZrXXJBFY/8dAyFvoZ1x3OY2S+Ix4eH4WKvtnZogiAIwjVO9JgbqVpr4OnvdrFc+QqnNfey0/V1NEcW8vJPu6wdmiAIgnAdEIm5EWRZ5qOfNvBx9Xy6KlKhz4MEutrwL9UKHsl4lOz8ImuHKAiCIFzjRGJuIFmW+eaXbTyS9iBeNgYUszfB2Ldh7m6Kp64kRMqnfM1j1g5TEARBuMaJxNxAH25PISj+TWyVEpoHdkJAr78+5xk1mg2ud9KlaCOG48utGKUgCIJwrbNIYpYkaYwkSeckSTovSdIzlmizNVm4I4XYXb8wQnkcm6FPofAI+Z9jHEY9x2FTOGyYDyWpVohSEARBuB40OTFLkqQEPgPGAhHAbZIkRTS13dYip7yOD7cl8Y7zKmRnfxR9H7jocYM7+fCm5kn0Jhl2v93CUQqCIAjXC0v0mHsD52VZviDLsg5YAUy2QLsNcvzAFg5+8SDoapul/V9O5DBRcZig+nNIw18Etd1Fj1MpFQzr3Y0f9UORE9dAWYPXkguCIAjCXyyRmP2ArL/9PfuPj/2DJElzJUmKkyQprqjIcrOXDal7iSlYjv7TPpC602LtgnnC16/HMnnebjX4RELkjMtS/faTAAAgAElEQVQePyM6gMWGsZiQ4NBnFo1FEARBuDG02OQvWZa/lmU5WpblaC+vBpULbRDfic9zi/ZFavQSfD8Fdr1psbbP5lURVLyXNsZ8GPIsKC7/5WrraodH2xD2aIbCse+gpthisQiCIAg3Bksk5hwg4G9/9//jYy3C382eer++3Gv/EXSZDnv/A8UpFmn7lxM53KXahtHZH8LGNOicIR29eLtiNBjqIPZri8QhCIIg3DgskZiPAh0kSQqRJMkGuBX41QLtNti4SF/ic+rI6fsyqO1h+7+b3KbJJHPieCz9FYkoo2eDQtmg84Z09CbZ1JZ83+HmxKy7dmppy7Js7RAEQRBueE1OzLIsG4B5wBbgLLBSluXTTW23McZF+gKw8YIeBjwGSRsg41CT2jycVsLouk2YJDX0uKvB53UPcMVJo2K97SSoK4OkjU2KoyWkF9cwfuE+Iv+9lcmf7mf+ypOczq2wdliCIAg3JIu8Y5ZleZMsy2GyLIfKsvyGJdpsjAB3eyL9XNiUkA99HwYnX9j2IjShB7j5WCrTlXsxhU8CR+8Gn6dSKhjYwZNlOW2RXQLg5IqrjqEl7EkuYtKn+8kpr+Om7m1x1KjYdiafKZ8f5KfYTNGLFgRBaGHXTeWvcZG+nMgqJ6dWgqHPQfZRc8/5Kjkmr8NZqkXVZ06jzx0S5k1+lZ7idjfBhV1QlX/VcTSnX07kMHtpLG1d7fht3gBevymSH+/ry64FQ+gT4s6zaxNYsOoUeqPJ2qEKgiDcMK6jxOwDwKZTedDtDnD2h7ilV9VWXkUd47SbKXXsAIF9G33+4I7mWefb1ENANkHC6quKozmV1+r496+n6RbgytqHYghwt//rcx6Otiyb3ZtHh3dgzbFsPtiWbMVIBUEQbizXTWIO8nCge6Arb20+y/zViZR3nG7urVbmNrqt5BMHiVSkU9/lDpCkRp/fxllDuK8z67McoG0PONX6hrM/2JZMRZ2e12+KxN7mf7flVioknhwZxm29A/lidyq7zhVaIUpBEIQbz3WTmAEW3xXNPf1D2HAqlykHgs291at4x2ubuBydrMK7/8yrjmVwmBfxGWVUhk2D/AQoaNH5cJd1JreSHw5ncGffICLaOl/22JcnRtDJx4n5K0+SV1HXQhEKgiDcuK6rxOzhaMsLEyLY9/RQquz9OW8XBSd+bNwkMH09nYt/J96+Pyonz6uOZUa0PzZKBU+caYesULWaSWCyLPPvX0/jYqfmyZFhVzxeo1by2R09qNcbeXzFCTEZTBAEoZldV4n5T97OGgZ18OKH+gFQct48EayBahN/xUmuJq/dzU2KoZ2XI29Pi2RHpkyKUx/ze2aT9SdR7U4uIja9lAWjO+Jqb9Ogc0K9HHlxQgRH0kr59WTjXw0IgiAIDXddJmaAgWGerKrriUllZ+41N1D9kWVky5606Ta6yTFM7ubHrH5BfFbUFapyG/WA0FyWH8nEw8GGm3sGmEcScuJh5+vw5QDzn83/gjO/gkH7j/NmRAfQxc+ZtzYlUaszWCn6xqvVGdhwKpf9KcVkldZiNIkevyAIrdt1m5j7t/ekBjuSPYZD4tqG7T5Vnolb/kHWmAbTPcjdInE8Pz6CAt9haFFjSlxrkTavVmFlPTuTCpne0x8bQzX8dCssGgb73gdbZ7Bzh/hvYeVM+GY0lGf+da5SIfHviZ3Jr6zni93Xxn7T1VoDd39zlHnLj3PnkiMMfHcXA9/ZyYHzooa5IAit13WbmL2dNHTycWKlYTBoK+HM+iufFL8MGUj0HH/RmcpXw0al4O6hXdhjjEKfsM6qw9mr4rMxmmTu6GCAxSPg/HYY+Ro8lQqzN8GsX+GZTJj+DZSkwleDIGX7X+dHB7szuVtbvtp7gazS5tlm01Kq6vXM+iaW+Mwy3p0exU9z+vLW1Eg0NkruWHyEV387Q73eaO0wBUEQ/sd1m5gBBoV58UO+PyaPDhD3zeUP1tUgH13CdlM0gaHhFo1jSEdvdipjsK0rgOxYi7bdUCaTzIqjmcwIKCdwzQSoKYKZ66H/o2D/t9EBlQ10mQZzd4OzH/w4Hc79/tennxnbCaUk8fEOy2wU0hz0RhOzvonlZFY5n97WnRnRAfQL9eC23oFsfGQgd8cE882BNOZ8F4dBFE8RBKGVua4T88AOnuiMMqlBM8zvd/NOXfrg4z8i1ZfzpX48vYLdLBqHRq3ENmI8WlmNIcE6w9kHU0uoLC3i5Zq3QG0Hc3ZCyMBLn+ARCvduBd8oWHMfFJ0DwNfFjik9/NhwKpeKOn0LRd8464/ncCyznHenRzH2jzrqf7KzUfLvSZ15Z1ok+1KKeWtzkpWiFARBuLjrOjH3CnbHVqVgnXEQqOwu3Ws2GeHQp+Q5R3FMDqOnhd4v/92YnmHsMVlvOHtFbBqfaT7Hvj4fZnwH7iFXPsnGAW5dDmoN/HSbeVMO4LZegdTrTfxyosV292wwg9HEZ7vOE+HrzJTufpc87pZegczuH8yS/Wmsjs9uwQgFQRAu77pOzBq1kt4h7mxL05qHZxNWgbbqfw88+xuUZ/AdE4n0c8HLydbisfQJceeA7UDs6gtbfDi7RmsgPOkzBnACady7ENC74Se7+MOM780TwdbOBVkm0t+Fzm2d+Sk2q9Wta95wKo/0kloeHd4e6QpV254fF05MqAfPrU0gMUfspiUIQuvQpMQsSdLNkiSdliTJJElStKWCsqRBHbxIKaymqNPtoKuGUyv/eYAsw8GFGF2D+boonJERbZolDoVCwrnrRLSymvqTa5rlGpdy5sh2HlSspyD0Zug5u/ENBPWDUa9Dyta/CqXc2juQs3mVnMpuPQnNaJL5ZGcKHds4MSrC54rHq5QKPru9By72ap5bl3BNLKU6mVXOwh0pLFh1klu+OsRjK47zy4kcKmpb52sFQRAar6k95kRgKrDXArE0iyF/bCixpcwPfKLg4Cf/3O3pwMeQE89xvzswygpGhDdPYgYYF20ezjYltuBwtkFH4MFnyMcd16n/uara3wD0ngv+vWHLs1BdxORubbFTK1lxNPPK57aQTQl5pBbV8Mjw9igUElQVwOn1sOc9OL0OSi/8z9fdzcGGFydEcCq7gh+PZFgp8suTZZltZwq4+cuDTP7sAB9sS2ZfShEGk8yB88U8tuIEPV/fxru/J6EziMlsgnCta9KaIFmWzwJXHDK0pvbejgS627MjqZA7x7wFP86AJSPhzrVwbjNsfxm6TOOrqkH4udYS7uvUbLGE+zrzi9MQRtW+bx7OvoqdqxrtwMe0qU/jI+/XeNzB9erbUShg0kL4ciBseRbnaYuZEOXLLydyeX58BI62llledrUMRhMf70gh1MuBsQ7J8Pl0KLxIfXLXQBj1BoRP/OshZWKUL6visnjv93OM6eyDt7OmhaO/vGUH03nltzP4udrx4oQIbo72x1mjBsyz7U9kl/Pj4Uw+353KvpRiPrq1G6FejlaOWhCEq9Vi75glSZorSVKcJElxRUVFLXVZJElieLg3B1JLqG3bF+7eYC428vUQ2PYidJ5K7YTP2ZtaxsiINs3+kOHfZypaWU1JbAvUzi5OQd7zLhuMfXHpNrHp7XmHw8Anze/qU7ZxW59AanVG1h+3/iSwFUezKCwsYJnnDyi/nwyGOvPw+3074NkcmLsHJi4EGydzAZUfppp70Ji/R16d3AWt0cSrG85Y+U7+6UJRNe/8nsSwTt7seWoI9w4I+Sspg/kVSY9AN96f0ZUv7+xJVlktEz/ZT2xaqRWjFgShKa6YmCVJ2i5JUuJF/kxuzIVkWf5aluVoWZajvby8rj7iqzAivA06g4kD50vAr4d5GZCLP0TdAlMXsS+1HK3B1Gzvl/9uQq8w9srdUJ/7rXmHs2UZNj6JTmHLK/q7GBxmoa/5wPng0QE2/4vube3p3NaZ7w6lW3USWFW9nuXbDrHF4WX809dC/8fgwYMQ8wj4R4OtI7TtBj1nwf17Ycw7kB0Pi0dC3kkAQjwdeHBwKBtO5XEiq9xq9/J3RpPMU6tPYaNU8NbUSFTKy/+4juniw++PDcLXRcPspbEcyyxroUibR1GVll3nCjmUWtLqJhkKQnO6YmKWZXmELMtdLvLnl5YI0BJ6BbvjZKtix9kC8wc8QuGhwzD1a1Cq2HamAGeNit4hll8m9f+52tuQ5zcaZ30x2vRDzXehpA2QtpfVLndj6+ZLiKeDZdpV2cLoN6A0FenoEmbFBJNcUM2hCyWWaf8qLN96iM/1L+GtqES6eyOMfNW8VvtilCro+4B5HbfaDpZNgIyDAMwZ1A5XezWf7mwdxVO+2Z9GfEYZr0zuTJv/P7xeWwqZR8wPFvr6vz7s46Jh+Zy+eDrZMuubWBJa0eS8hqiq1/PR9mT6vbWDXm9sZ/bSo9y26DAjP9zLD4czqNOJam3C9e+6Xi71JxuVgkEdvdiRVIjpz5m3fwxZG00yO5MKGdrJG/UVeiSW0nHwDLSymqz9y5vnAvp62PI8slc47xbHMCjMy7JD9B1GQbuhsOdtJnXQ4Gav5tuD6ZZrvxHys1IZE38fbVTVKO9ab55B3hCe7eGe38HJB76fAun7cbRVcU//ELafLeR0rnUTWlpxDe9tPcfIiDbc1O2P9dglqfDLPHg3FN4NgW9GmcumvukLn/aGfR9AfSVtnM3J2Vmj5vbFhzma3vqHtY0mmUV7LzDw3V18tD2FTj5OvDA+nBVz+/LBjK5o1ApeWJ/I0P/sZuXRrGtiBv3/ZzTJbE7I46Ptybz8SyLzV55kZVxWqy3UI1hPU5dLTZEkKRvoB2yUJGmLZcKyvBHh3hRVaUn4f+tVfz6aRWmNjjGdr7y8xlJ6dwwkVtUD9/TNzTOcffgzKM8gqdtzVGhlBnWw8KsDSYLRb4K2Cs2B97i1dyDbzhSQU15n2etcia4W04+34EElVTevhIBejTvfxR9mbwbXIFhxBxSfZ1ZMME62Kj7deb55Ym4AWZZ5bm0CtioFb9zUBakqH9bMgU+jzcv92g83vz+/fSVMXwoDF4CjN+x4BT7qArvfxs9Rwc/398XL0ZaZS46wK6nQavdzJfV6I/OWH+ONTWfp6u/Kr/P6s3R2b+4b2I6+7TyY2sOf3+YN4Kc5ffFx0fD0mlOM/XgvSfmV1g69QUwmmQ2nchn90V4e/PEYH21PYf2JXHafK+Tp1afo9fp2Hvg+nuSCi9RYEG5ITUrMsiyvk2XZX5ZlW1mW28iy3PS9EpvJkDBvFBL/Hc4GskpreWPjGWJCPRjdgolZkiTqwibhbioh59QOyzZemQd734dOE/itKgylQiKmvYdlrwHQJgJ63g1HFzOrg3ko9YfDLbjcSJapXfMQPnXnWR/6Kt7hA66uHQdPuP1nUChh+Qxc5Cru7h/M5sR8q/2iXBWXzaELJTw7Nhzv4iPw1UBzEZx+8+DxBPMrmJhHIGw0dJkKw543T2qcswuCB8Lut2DJKPxNeax8oB/tvR2Z810cvyfmX/niLay8VsfMJUeIS0zi+25n+TZwM1Fxz8PKWbD9FTj5M5SkIkkS/UI9WPdQDF/c0YOKOj3TvzjEvpSWm0h6NYqrtdy++DDzlh9HAj6/owcpb4zl5MujiHthBOsf7s+dfYM4kFrMmI/28uzaBIqqtFdst7WRZZmKOj01WgN6o0nMCWgiyRpfwOjoaDkuLq7Fr3vzlwfJKavjk9t70D3AldsXHyYxp5LfHx+Iv5t9i8ZSVFqK5uMIUt0G0u3xVZZreN0DkLgG+eFYRizNwNPRlp/vb+DwbmPVFMPC7hDYl/tN/yI2rZRDzw5Ho1Y2z/X+7uCnsPV5PjDewm0LPsbX5RLvlBsq8wh8OxH8e1E2bSX9/7OPkRFt+PjW7paJt4GKqrSM+GAPHb0dWdH5EIpdr4NHe3P1Ne9ODWskaSOsfwhMBpj0CVXtJzJzSSwpBVX8+siAVrOUKru0hqWLPmJozWb6K04jYQKFChy8zWVgyzPN9wAQNMD8IBgxCVS25JbXcc+yo5wvrObNqZHMiA6w6r1czPHMMh784RhltTr+PakzM6IDUCou/kqptEbHwh0p/HA4AzcHG76Z1YtIf5cWjrhxjCaZvSlF7DxbyK5zhWSX/XfErI2zLUPCvBnS0YshHb2xs2mB3wmtnCRJ8bIsN6gQ1w2VmA9fKOHRn45TWKWlq78LJ7MreGdaJLf0CmzxWAAOfjKb6OJfqXo4AQ/vtk1vMDsOFg+HAU+SGP44Ez7ZzxtTunBHn6Cmt30pBz6GbS9xevgyxm+04d3pUc3/SzL9APK3E9hqjGZf9/d5fUqUZdo9tQrW3gd9H+YN4518cyCdfU8Ppa1rE5N+Izy+4jibEvKI7bkd11NLzKVkJy40zyxvjPIsWHMvZB2B0W+RFzGb8Qv34+low/qH+1tsW9OrlXpiLzW/LCBKPke9YyCaHreY79Wzo3nNPIBRb36vnrwZ4pdBWTq4hcDYdyBsNJX1eh7+8Rj7Uop5/aYu3Nm3Gb/PG2lTQh4frdjECPsU5gbm4lqbDtpq0NWAnZt5joNnGLQfAQF9/7rnpPxK7l0WR2mNjk9u686IFlgp0ljVWgMrj2ax7GA6maW12KmV9G/vSXSwGxKgNZg4l1/F3pQiquoNuNmruaNPEHf1C2p1NQIu5XxhNfkV9Qzo4GmxNkVivowarYGv9qTy1d4LDGjvyeJZ0VYrkJKVFEfAiuHsCXqUwbNfa1pjJhMsGQEVOfBIHK9vy+LbQ+kcfX4ErvY2Fon3ogxa+Kw3ssqOsdo3UarUbHhkQPN9TWtL4Yv+FOuUjKh+hY1PjcPPkolz09MQ+xUl4xbRa50Dcwa249lxlt0G9FKOZ5Yx9fP9rAtaR7eCNdDnQRjz1tVXa9PXw9o5cPZXGDiffQEPcNfSo0zp5sf7M7pa5/veoCVv1QJ8z31HCa7oh76Iz8B7/puML8VkgvPbYOsLUJwMHUbDhA/QObTlwR/i2ZFUyJtTIrm9j3Uesv9i0HFsyzKkI1/RXfHHPAVHH/CJBFsn88YwtSVQnAJlaeYRAUcf6DzFvFrALZjCqnru+zaOxJwKXp7YmVkxwVa9pb/bcjqfV9fG4V6bxhivEsb4VBHsLKGUDebRDtdAcAsGny4YXIKJTSvl20PpbD1TgFqhYM6gEB4e2t7qD4YXU16rY1VcNutP5HA6t5IgD3t2LxhisZ8TkZgboLJej0alxEZl3YnpKW/3x6a+GM9nEnDQNCGBnvgJ1j8AN32JMepW+r21gyh/VxbPaoES5md+gZV3cSTiBW45FsGaB/s1yw5dyDKsuB05ZRtTdK8S3mMAb021UG/5TwYdLBsHhUm84vsZqzM0HH52OA7NXNlMlmVmfHmQWws/Ypq81bwWe8QrV5+U/2QywsYnzT3OXvfxkc0cPtqRyiuTrPALv/QCNT/MxKE0kfU2E+h734f4eHs3rg2DDo58CbvfBqUaJn2CNmw8D3wfz65zRdYbATOZ4NQK6n7/N3b1BeQq/fAY8hC24WPMyzMv9u+orYLkLXBmvXnPc9kEkdNh4AJqXdrx6E8n2H62gHv6h/D8+PBLDoO3hIryUjasXIRn1lYGKxPQ8Md7cKUNqO3N/xZGHdT/bXKtWzCEDoOIyaQ79WThzlTWHs/Bz9WOlydGMKoF5/VcTkWdniX709i0/yih+hR6u1XRx72OED8fHMa8ZLHriMR8DUnbuZSQvY/ze48vGTPptqtrpL4SPu1lnmV87zYOXCjljsVH+PT27kyIssAQ+ZXIMiwbj1yYxIC69+jRsR2f3NYM72ZjF8GmBfzqM48FWQPYMX8wAe7NMDegIhu+HEidxpvuef/i2Uk9mj2J/Z6Yz/kVTzNP9QsMeAKGv9z0pPwnWTaXnj3wMXLPe5hbcis7k0v47p7e9G9vuaG6y0reinHVPVTrTLxn/xiPPfR403ZxK0k1D9XnHoees6kf/jr3rzjD3pQi3pnWAq9T/i7zCGx+GvJOcNzUns0es3js/gca96BdkQOHPoP4peZRqD73Yxz0NK/vyGXpgXRGRbRh4W3dW2b+xt/VlVOy6xPUsV/iTDVVNt7Yd52MMmQgeHc2bx+rUP7jeMrSzK/VUndC2l7z5kEugdDtdo63mcqzWwtIyq/itt6BvDQhwmrvn0311Rz4fQXlJ9bTQz6Dn/S3WgxqB/PSyzstt+GQSMzXEoOWyjfac0yKoN9zm7BVXcU36YYnzD2ie7eDf0+eWnWSzYn5xL0wouV+kPNOwdeDifOczK05MzjwzLD/LYrRFPkJsGg41X4DiEy5h3v7t+OFCRGWa///O78DfpjGLs0w/q2Yx84FQ5utx6IzmPj63fnM032DqccsFBM/tlxS/pMsm5dT7f8Qffe7mZg6hbwqHesf7m+54jOXErsIefPTJMlBvKR5lk8enIyPiwW+Nww62PW6eZ6DTxTaqUu577cS9p8v5r3pXZne07/p17gcbTXseBViv0Zr34ZnK6eT7juG7+/rd/UjLDXFsPN188+zvQeMeJmltf15dWMSA9p7suiu6Jb5ma4rg8NfYDj4OSp9FXukaNqM/Redokdc+bXD3+nrzcWOTvwIqbtAqcYUeQtLTON5I9ZEWBtHPru9Bx3aNN8eBf9gMkHaHqoPLUF9fiu2aKlUuCAHD8Sl4yBzpUC3EPM8AAv/DDYmMd8QBUZaNZUtFeG3MsAYy5rfr2LpVNo+iPsG+j4E/j2p1xv5PTGf0Z19Wvbp2jcK+jxAz6L1RJLCj0csuOuUrgZW3wN2bjxregAnWzXzhrW3XPsX0344DHmGofU7iKnYwPa/LbOztEPrPmee7hsK/UehmPCh5ZMymNsc/jIMnI/6+DJWB6xEiYk538VRr2+malomI/z+LGxaQKwqmnulV/hg7kTLJGUAlY25ytvtK6E8E9slw1jSp5D+oZ48tfoka49lW+Y6F3NhD3wRA7FfUxA+i5iqdzjjOZqls/s27bWHgydM/Ajm7jYPgf/6CLPP3MviYSb2ny9u3n8vMM/h2PEa8oeRsOcddtR3Yp7Tx7R/bAOdeo9qXFIG8+z6yOkwcx08Eg897kKRuJo5p24lvt0igquPc9Nn+9l6upmX8lUXwf4PkT/pAd/fhD5lF+sYzM6+3+D0fCoud/0Ife4Hv55g7948P4ONIHrMrUFNMbXvR3HMGErI41vwa+jSLV2t+ZcDmGtD29iz/Egmz61L4Pt7ezPQ0oVFrkRbBZ/2JlNrx026N9j19Ahc7NVXPu9KfpkHx38gccR3TNig5LlxnZg7KLTp7V6JyYTpx+kYUvfwlNN7fPjEbPN2khZUfnIDDmvvIkXThfAFW5AuVUrUUmTZ3CPb9x/yQmcQc3oSjwzvyJMjwyx7HV0NrLkPzm3iqM8t3JI+kS9n9mq+94plGbBqFuQeR9/3EWZnjuVAWrnle871FbDtJXOP1j2UnMH/Ydx6A+4ONqy8v1/Thuf/P1k2bxiz9UWozifdbyK3XBhDWPsOfHlnT8vOe6gphkOfmkc3dDUkuAzh6cLRBEX04oMZ3Sx8rRI4uhhiv4LaEpJVYXxcO4ZOw27n4WGdLPczZjJB+l6IW2peQmjSc0rZmcV1Q5AiJvH85G54O7XcLHExlH0NKt/5Ma57X+Iz3zd4+P55DTtpy/PmH6ZZGyBkIDuTCpj7XTw9At34aW5f60wWOb0eVs3iNcOdqGLmNX1Gc8JqWHMv8oD5TDw7lLIaPTvmD2650YCaEmo/7U9lbT0JY9cxsq8F351nHkG3dCLJprY4zN1MiJ+v5dq+HFmGXW/A3vc45DKOe4rvYOPjQ2hnqfXNVfmwfAbkJ3Ah+kWG7+/Irb0CeWtqpGXavxSD1txDj1uCMaAfT+jn8VuGxDtTo5jRywLvnFO2wW+PQVUe9JtHSa/5TFl0nBqtgXUP9SfQo5lqIWirYN/7cOgz9Kj4WDuBoz638MXsQbg7NHHFRXURHFz4f+ydZXgUVxeA39mNu0FcIQRCSEhIgKDF3aG4W79SWtpSqFE3ShWKU7S4FfcCwQIECwECJCEOUeK+O9+PoS1tkchGgHmfhx+bvXPn3JCZc8+5R+D8r1CcR4FHH95P68q2eBNea1eXtzrV0/hm9C+K8+HKetSnf0GRHkmcuhYnTHvQvO8U3OpUYKOYESu9Ny6tgfQoRD1zzhh3ZlaCP3nGdfiirxcdGlR9GpqsmJ9FVMWkf+dPRm4BCUP/oHUD+yePv7IBtk+GgAnQ43uCo9IYvfwc7tZGf9VJrhZEEdYNpjjiKP2LP2fR9NHlT2e6GwrLu4BNI44FrmDM6svMGejNoCouJqG6G0bB4o4kKGxxfec42vomFZ/0biglK3oSV6DHvqareLVnJRWBeRyiKEU2H/+GY6Ifa+w/ZtnEthVPDYk7L7XVLMgipsMvDDpigpGuFrtfb1V1KTKhm2DXG4gKLZYaTOSru35809+bIU3LGa2dlw4H3ocr66FWfeizgALrxgxbGsy1xCw2TGqOr5O5ZtfwKNKj4MCHcHMP6aIxm3X703P8h9hblzGyHSDlJpxbApfWgqoQvAZy0WU8k/blkFNYzOwB3vRp/JR3kKZQqxBv7iXl0E/UTg9BJQrEmDXFPqAPuh6dwMr9ya5lVQncvQzRJyTLOP48AKJTIBdr9+OtUCdis9WMDnRhehePausdLyvmZ5Ti8P1obxjMUp2RjJrx8+MDwe4EwZr+iM6BhLRcyrbQZH6/lIiDuT4bJwdWfBddUXJSUC1sSUyOgqX1l/P10BblmCMZlrQDRJh4lJfXRRGXnsfxd9pVS4rbxSOb8AmaxF3rtji8su2fkahlJfEy4uo+pBRq8ar2F6yZ/nL1VUY6txT13hmEql24130lXZv7lH+ukBWw9x0wseOo74/873AR5gY6rBgbQH0bDWxmykJaJOycCjGnCNXzZ3rmIMb07V62POeSQmlNQXOkYC1dD6EAACAASURBVKjWb0GbdyhCm1fXSrnTC4b50a1RFXk6/iTuPBn7P8cs4Th56JHt2g3r1mPBKVA6d38cmfF/p2fdCQKlLjQaiKrlm8y7IvLzkdvUqWXEguF+1KuqYKx/cT/uBiE75lM3+SCuCimuQzSwQrCsK52565lJSloUISsBMmKknPCiHGkCm0bQsD+hZu35+EQul2IzaGBrwpf9vPCris3TE5AV8zNMyrKB1Io/xMk6b9Nq5H9z6PJiL6OzpifpSktGqD/nVpYSAx0l3bxsmdnVo+ZU1ok+iXplL3apmuP+ygY87ctQXrCkUGrHmBQG4/ZzsdiJ/gtOM6unJ+NbuVaezE9AFEWWfv8ek3IWomrQF+WApU9+CT6OxEuwug/Z6NM9cyYfjuhepXXaH4Xqxh5KNo4lUzQgpcP3NGwzoGwT5CRL6ULXtiPWac9Ci/f49kQKTV0smD/cT7PnrmVBrYbzyxCPfIpYlMteVTNKWrxJny6dEZ4UxJSTDGFbpbKvWfFS/fEuX4KtD8UqNVPWXuTg9SQ+7+vFyGqsNhYfdoLQHfNoVRSEiZCPqNRFsPUGay+pUpyWPhTnSZZ26m1Ie9DO1NwV/EaB3yiS1UZM23CZ05Fp9Pez54u+XjWi+MfF2Pss2XEEy3unaGUQT4BJOpaF8QhFuVK+N4CJrdSAxrIuOAdS7BDIvmg1K07d4VJsBrWNdZnexYMBfg7VmgP+J7JifpYpLuDijwPxyztBtv9UjLt/ysX4LBYdDKVV4gqGqHaSgTFD1Z/j5u5J14Y2dPWyqfQCGOWh4I9v0Qv6kg3GYxn81o+lc5MW5cLGkRB5BAatgoZ9mbQ6hLN30jn9bvtqXefZqDQO//ohH2ivg7qd4OXVoFOGc8XrO+D3Kaj0zOiWORM7Fw9WjAmotspzD5MRFULGb2NxUcdyt+5QbAd8LaWMPAm1SjpSOfC+pADazGB+SS/mHIrkZX8HvujbqNoL+ACQl07JqV8oOb0APTGfe0pbdBv2xLxOgJSSpGssWV9pEVIJ08ijIKrA3h/afwhuL4EgUFiiYtqGy+wLu1c9BVoeQX6Rik+3X+D+lT10MYmhs2kCRlkR0v9HSQFo6YGFm6SMHZuCRzewqoeIlDs/a8c1cgqL+byPV5UfET0NURTZHXqXeX/c5lZSDvZm+nRoUBtXK0OcLAwQBCgqEbmXmc+pyDSCI9PILizBxdKA0S1cGBzgWCM2GX9SZYpZEIQ5QC+gCIgExoqimPG062TF/GTiUrM5NXcMQxSHUaPknmiGvlCMOVncsO5FeuD7NGnoUfXFBsqKWs2dpcNwvbuPyHoTqDP0uyefFeWlS0FDCRek+tB+I4lIzqHTj8eZ2q4ub3X2qDrZH8O0DZcwDvuNz7R+RXBsCn0XSi62J6EqgSOfwOl5YO/PR3oz2BCu5uCbbXCp7BziMpCemcUfC96gf8F2VEpdFL7DUDadALUa/J0mI4pS8NOVDVKaXmacVOu591xW3tLhk13X6edrz/eDfCovaKicqHPSCNm3goJru2kmhqErPKIPsoUbePaBRi9LHdQeEJaQydubrnAzKbtaPTePY0/oXT7bfY3k7EKGBDgyKtCFBjYP3NEPPXMqtcjpyFS+O3CTK/GZeFgbM3eoLx421eO6Lg1qtcixW8ksPxnNlbgMsgtL/jPGycKAlnUt6eRpLXUSrGF/e1C1irkz8IcoiiWCIMwGEEVx5tOukxXz05l3+Bbhf6yhgSIGf4t8/Gz10Wn1mrTrfYZQlZSwb85IehbupcR7GFrdZ4PeI84b7wTBnreltJeBy6FBTwDe3nSFPVcTOTWzPZZG1eQSfYiU7EI6fH+M8eaXeT3vF4SSQmgzXSqhqfUv+dQq6Twv6HtIvgYBEwh2f5shyy/xevuasdH4N/dzi5i9agt+iRvoo3UaXYolF6mFm7S+9CgofNAH2aU1NJ2IWL8nv56K4Ys9N+jkac3C4X5oKWuApfwY0nIK+Xb3Jc5eCcPPSs2brWrj6FwHLOr8xwMSl57HhvOxLD4ehYWhDrMHetPOoxzBVlVAdkExPx66zeoz0ZSoRerbGBNYxxKlICACt5KyuRSbQU5hCfZm+kzr6E7/GuLmLS2iKJKWW0Rceh6CIKCjVGBmoF2ljWbKS7W4sgVB6AcMFEVx+NPGyor56RQUq3hv21UC3SwZ5O9QI9yd5eVsZCrBK97hDa1toGsinW959pWiQfPSIeRXiDoGJvbQbxG4tgGkTjvdfj7BhFaufNCjEqt8lZG1Z2P4YHsYC3rb0T3hZ7i2HXSMwbmFVMavpAgyYyHmDKRHSh2T2r3PPYeuDFlyhhK1yOG3qjDlq4yIosjJiFSW7DuHXdJR/AxSaGOVjY2+iGBZR/IQuLWD2vXJLSxh5tZQdoferb6ykeXk0PUk3tsWSmZ+Mf7OFvg6mVG3thEZecUkZxdy9k4al2IlB2DfxnZ80rth5TaE0RDpuUXsDk1k28UEIpJzUIsialHExdIQfxdzAlwsqr4AkUy1KeZdwEZRFH972lhZMb94TF1/ibvXTrGiwTmMI3ZLZ3h/YmAJraeD/zipUtADxq44x4WY+wTNaFejXohqtciARae5k5rLlldaUDcnRDo/vhMknVOC1DHIyh2aToT6vYhIzWXUr+fIKihhxdgAAlwqocmHhhFFkUPXk/j+4C1uJmXjYmlAhwbWvORRi2KVmgsx99l79R4xabnM6FqfyW3cnrkNZHpuEQuORnD2Tjo37mZRopbeh9pKgXrWxvT0tqOnt23l1GSXeaHQqGIWBOEw8Kiw0Q9EUdzxYMwHgD/QX3zMhIIgTAImATg5OTWJiYkpjXwyzwn3MgvoMfcEpvra/D7SBZP710DHSIoerVVfaof3EGci0xi6NJh3u9XnlbZVUOWrjESn5jJw0Wm0lQq2/K/F37naeelSt52HNhgXY+8zdsV5tJUKVo4NwKssEeo1ALVaZFdoIlsvJhAclUZRiRQVq1QIeNmZMLNrfVpUVTOMSiS/SEViZj6WhjqY6ms/c5sMmZpNlVrMgiCMASYDHURRzCvNNbLF/GJyPjqdYUuDaVHHiuVjAh57tiWKIn3nnyI5u5Cj01+qsS63a4mZDFkSTC0jXTa9EojVI87AY9Py6DP/JCb62vw2vtkzb3nlFZVw7k46etpKfBzMqi//WkbmGaPKmlgIgtAVmAH0Lq1SlnlxCXCx4LM+Xhy/lcLnu6+jVv93U1hQrOKz3de5Ep/JW53q1VilDNDQzpTlYwJIzMynx9wT/H4pgYc3ujmFJUxcHYJahFVjmz7zShnAQEeLlzxq09zNUlbKMjKVREWTvH4BdIFDD9w+waIovlJhqWSeW4Y2deJWUjYrTkUTfi+L719ujL2ZPiq1SHBUGh9sv0p0Wh7DmznR36+S2/ZpgAAXCzZMCuSjHWFM23iZVWei6eZlg6uVERvPxxKRksPqcU1rVFqUjIxMzUYuMCJT5YiiyOYL8Xy68xoKQaChvQlhCVnkFJbgZGHAN/0bPXNnlmq1yJaL8fx06BaJmQV//fyTXp6MaVmzcl5lZGSqHrnyl8wzQWxaHh/tDON+bhE+jmb4OJjRrZFNjarWUx4y8oq4k5qLWhTxczKXg4hkZGTKpJif7TegzDONk6UBK8c+WwVTSoOZgQ6+TjUnvUtGRubZouaW55GRkZGRkXkBqRZXtiAIKYAmE5mtgFQNzldTkNf17PG8rk1e17OFvK6ah7MoirVKM7BaFLOmEQQhpLS++2cJeV3PHs/r2uR1PVvI63q2kV3ZMjIyMjIyNQhZMcvIyMjIyNQgnhfFvKS6Bagk5HU9ezyva5PX9Wwhr+sZ5rk4Y5aRkZGRkXleeF4sZhkZGRkZmecCWTHLyMjIyMjUIGTFLCMjIyMjU4OQFbOMjIyMjEwNQlbMMjIyMjIyNQhZMcvIyMjIyNQgZMUsIyMjIyNTg6iWto9WVlaii4tLddxaRkZGRkamyrlw4UJqaZtYVItidnFxISQkpDpuLSMjIyMjU+UIglDqjooacWULgrBcEIRkQRDCNDFfdZOZV8zo5ed4bd3F6hZFRkZGRuYFQ1NnzCuBrhqaq1pJyMhnwKLTHL+Vwu7Qu4TGZ1S3SDIyMjIyLxAaUcyiKAYB6ZqYqzqJSsmh/4JTJGUVsGyUP8Z6Wiw6HlndYsnIyMjIvEDIUdkPMXt/OMZFyRwODKPj6RFstPyV/WGJRKXkVLdoMjIyMjIvCFWmmAVBmCQIQoggCCEpKSlVddtSE5mSgyJ8F4d4Feszn0FeKp5pB5iqtZOlJ6KqWzwZGRkZmReEKlPMoiguEUXRXxRF/1q1ShUxXqUsOR7FeK19qM1d4bULMPUiNHqZN5SbuXtxP8lZBdUtYrnIKyrhTGQaS4OiZMtfRkZG5hlAdmUDSVkFnL90CX/hJkrf4WBVFwQBev1EiUU9vlfOZffJZy+969Nd12j0yUGGLg3my703mLzmAoUlquoWS0ZGRkbmCWgqXWo9cAbwEAQhXhCE8ZqYt6pYfvIO3YWT0odGg/7+QscQnWFrMRKKcLw6v3qEKydbLsSz4lQ0vX3sWDEmgHlDfbmdnMNPh29Xt2gyMjIyMk9AIwVGRFEcqol5qoPsgmLWno3hsEEw2LQAc+d/DrBy57ZlO5qmHicvLwcDA6PqEbQMRCRnM+v3MJq7WfDdIB+UCgGAE7dTWHw8ki4NbWjsaFbNUsrIyMjIPIoX3pV9KTYD16Lb2BTFgs/gR45R+QzFVMgl+vTWKpau7OQXqZiy9hIGOkp+HuL7l1IG+LCnJ9YmekzffIWC4mfPpZ2eW8S9zALUarG6RZGRkZGpNF54xXwtMYt+ypOISh3w7PPIMe5Nu3FPtEAnbFMVS1d2Fh6L4GZSNj8Mboy1id4/vjPR0+aLvl5EJOewL+xuNUlYdkRR5LfgGJp/fYTmXx+h/kf76fzjcdafi0UlK2kZGZnnjBdeMYcnptNX6wxCvS6gb/7IMQZ6ugQbdcA14zTk1LxUrz+5n1vE8lPR9PSqRdt6j458b+dRGztTPXZfeTYUc1ZBMa+tv8SHv4fR3M2Sz/s0ZEwLF/R1tHhv21V6zD3B6cjU6hZTRkZGRmNUSxOLmkRx/GUsyISG/Z44LqPeQJSXNpN/cQP6baZWkXRlQFVM0O9LWCmuoknEbZjrBrbeUL8nNBr41zCFQqCHty0rT0eTmVeMqYF2NQr9dKZvusKR8GTe7VafSa3dUDxwzYuiyN6r9/h63w1GLDvLr6MDaFe/djVLKyMjI1NxXmiLOa+oBMPMW9IH28ZPHFu/UQBX1G4UX1xXBZKVkZSbqH72pc/tD3DRzUFo8RrUbgBx52HreNgxBYrz/xre09uOYpXIgWv3qlHopxOXnsehG0n8r20dXmlb5y+lDCAI0gbjwLQ2NLA14bV1F7memFWN0pYdlVrkVlI2m0LimHvkNtsvxXM5LuOZPP+XkZHRHC+0xRx+L5t6QjwqhS5Kc5cnjvV1MuNbsQ2zMlZCcjjUrl8lMj6VjFhY3Zf8ggKmFb/Nu6+8gZWNqfSdWgVHv4IT38G9qzBkHZg64O1gipOFAbtCE3k5wLF65X8Ca8/GohAEhjd3euwYQ10tlo8JoO/8U4xbeZ7fp7TExlTvseNrCqciUnlt3UXu5xX/5zsHc30WjWiCl71pNUgmIyNT3bzQFvP1xCw8hDhUlu6gUD5xrK6WkhT7jtKHqKNVIF0pyEmB1X1RF+UyrGAmJt69qWvz0MtcoYQOs2DoBki/A+sGQ1EegiDQ09uW05FppOUUVp/8T6CgWMWmkDg6NqiNrak+qNUQexbizkHeP/ulWJvo8evoALILipm6/iKiWLMDwo7eTGbsyvPUNtbj+0E+HH6rLeGfd+XQm22YN9QXtVqk/8LTbAqJq25RNUaxSs21xEzyikqqWxQZmRrPC20xX0vMopMyAW3bTqUa7+HRgOhEa2xvH0O3+f8qWbqnoFbB+iGIWYnMrjWbW3m1md+p3qPHenSDgcth7SDYOx36zKentx0LjkWyL+weI5o7P/q6amTv1buk5xYxsZEWHJwFYVshK+HvAYa1oPXb0HQSKJR42pnwUS9PZm69yo7LifT1ta8+4Z/AwWv3mLLuIh42xqwZ1wxzQ52/vnO3Nsbd2pgWdSx5Y8NlZmwJ5V5mAa93cK9GiStGQkY+G87FsvF8HMnZhWgpBLzsTenkac2kNm5oK19o20BG5pG80E9FTEIi1qQj1PYs1fjmbhacUXuiiD0lKcbq5NIaSAgh1PczFt+x4s2O9XC0MHj8ePdO0OYduLwWLq6mga0xdWoZsjs0sepkLgNrgmPobx5Jk/29IXgB2DSCAb/CsE3Q+Uuw9oL978KyDnA3FIBBTRzxdjDlq703yCmseZZZdGouU9dfwtPOlLUTmv9DKT+MpZEuq8Y1pb+vPT8cusWe0Gcjgv5hVGqRxccjaTfnGL8cjcDL3pQ5A72Z1MYNpUJgzoGbDFsaTNIzWoNeRqYyeWEt5hKVGjHphvQbqN2gVNc0tDNlLQ0ZWnwU7oWCnW/lCvk48jPgyGeUODRnwiVXPG31GN/K9enXvfQuxJ+Hve8gOATQy8eOn4/cJjEjHzsz/cqXu5SEJWTinrCdb3RWIFjVlVzxFg+tr14XCJwC17bBvpmwrCMM24iiTjs+7d2QfgtOM++P27zXrXT/r1WBKIp88PtVdJQKloxsgqm+NogipEVC3FnISgQrd6jtCZZ1UCqUfD2gETHpeby9+TJOFgY0cng2zpzj0vN4a9Nlzkffp0tDa2b19MTB/J+bxh2XE3h3q5TutnBEEwJcLKpJ2vKTlFXAsZvJBN1ORV9bSSdPa9q410Jf58nHYjIyT+OFtZjvpObiKsZKH0qpmPW0laTVbvZggqBKkqwUHP8W8tJZpD+JtNwiZg/wRqs0LkGFEgYsAx0D2DeD/o3tEUXYfinh6ddWIbd2/cC32ktRu7SG8Qf/qZT/RBDAawC8elZSaBuGQcxpfJ3MGdjEgeUn79SoblpbLsRzKiKNmd3qY22kAyEr4HsP+KUJ7HgVjn4Bm0fD/ACY6wtXt6CrEFg8sgmWhrpMXB1Cag2NB3iY64lZ9J1/ivC72Xw/yIdFI5r8RykD9Glsz87XWmKip824FeeJSM6uBmnLR2ZeMa+vv0Szr44wc+tVQqLTOXjtHpPXXMDv80PMORAuR9bLVIgXVjFfv5tFPSEOlbYhmJY+MtnZ2Y1I0Q7xzolKlO4JpNyEc4vJ8xrOT9f0GdHcuWyWlKEVtJ8F0Sdwurefpq4WbLkQX2MCpu7fOE6vu/MIN2mJ1ogtoPeUtRlawsjfwdQB1r4M8ReY2bU+WgoFi4/XjD7aqTmFfLn3Bv7O5gxzyoTlnWH3NLCsC73mwqvB8H4iTDoOfeaDromU5ra0HVbZ4Swd5U96XhHvb7taY/6fHkVofAZDlwajo6Xg99daMsDLFCH5BuQkP3K8u7UxayY0Q1dbybiVIaTnFlWxxGXn5O1UuvwUxN6rd3n1pTrsn9aa4Pc6cGFWJ34b34xOntbMPxpJ5x+DOH6r5hYjkqnZvLiKOTELD0UCQu0GkvVVSho7mnFa5Yk65jSo/pvqUukc/Qq0DVipNwKVKDKhlVvZ52gyBmy84eAshvhYcCc1l4uxGRoXtcxk30Nn21jiRSv0By8DZSlPWoxqwagdkpLeMIxaQhZ9fe3YcSWBzEekI1U1X+8NJ7ewhJ+bJKNY3kmKkO+3GMbsgSajJY+NjiHYNQbfETA5SPo+JwmWd8Uz6wTTO9fj4PWkGufd+JMrcRkMXxpMG+1wjjgspc4KH/jaARYGwnfu8G0dWNMPrm3/R3yGvZk+S0Y14V5WAa/U8Lakq05HM+LXsxjqKtn+aktmdK1PfRsTBEFAW6mglbsVc4f6sm5iM7SUAqOXn2Pekds1ejP1MDmFJRy+nsQXu6/z3rZQ3t0aykc7wtgUEkdUSs4zs47ngRdXMd/NooEyHkUp3dh/0tjRjDNqT5TFuZB4uZKkewwZsXBjJyV+Y1h2KYcO9a1xsnxCwNfjUCih+xzISqBn5jr0tZVsuRCveXnLgqoE9cZRKIpzWOHwBc72dmW73sROytMuyIDtkxjRzJGCYjWbL1RvylFYQiZbL8Yz2/MO9vsnQC0PmHIWfIY8fkOoUEjfTzomjd8wnAla+2jqbM7HO6+RmJH/6OuqiZTsQpau+pWtineZVzQLg8SzUiZAx0+kgL0uX4NHV0iPgs1jYF4TuLBKSoED/JzMmTPQm3PR6Xy663p1LuWxLD4eycc7wxjhXszevto0yj0N4XsgNeI/gaAt6lix743W9PO15/tDt3h/exglKnU1Sf50IpJzmLg6hMafHmTC6hDWBMdw5EYyf4Qns/1iAjO2hNL+++O0nXOMTSFxNXotT0IURXILSygoVtX4GvsvbPDXvcR4zMTMUp8v/4mrlSHXdbylD3eOg2NAJUj3GM4tBQT2G/QiPTeFcS1dyj+XU3PwGYrOuQUM8whk05VEPu7liZ52NQWuBC9AEX+WmUVTeLld+/LNYd0Qus2GXW/Q0PlXmji3YO3ZWMa1dP1H1bCqQhRFvthznaH6Z+kXMQ8cmsLwTU93z/+JsQ2M2QvbJ6E4+AGLA9+j5d3GvLvtKqvGBiCUwdNTWRQX5nF20av8UrKdQhMXaDsXvF8G7UcEE6pVkjI79RPsel0K3uuzAEzt6dPYnut3s1h8PAq/B3ECNQJRZOv2Tehd3MxFoytYxCXDmn+NUeqCcyD4jpRK4Grroaul5IeXfbAx1WPhsUjScwuZP8yvdLEgVURmXjE/Hr7FmuAYDLSVjG/lSluPWjRxNkdXS3oPqNUikSk5nI++z/pzsczYEsqCoxF83KthjS+BK4oiofGZ7A27y9X4TMISMskq+Dtbw9FCn9butWjjbkW7+rX/WnNN4IVUzNkFxVjlR4IOZVbMgiDg5OTMnXgXXKNPQJvplSPkvynKhYurEBv0YuGlQupZGxFYx7Jic7b/EMK2MVm9iV8LB3DwehK9fcpoqWqC+9GIR78iWLs54SadaVm3AuvyGy0F5h39kjdarmLUYSWnIlNp7f7oph6VyR/hyZTcOc0XevMRnFvCsI2Sy7os6BjAoNWwfTLmZ75mmef7DLvsxYnbqbR5TKOSKiMjlrTF/eiZH0Gk61DqDP1BkvdxKJTg2Rsa9IILK+HAB5Kru/c88OzDO509CI3L5IPtV2lga0xDu2qOQo89S/KODxiQdp4ibV2063SQMgJMHaWGN6JaivlIvg43dkpxAXpmEPgaBE5B0DFgZtf6WBnp8vnu63y08xpf9vWqERuqS7H3eXttMC45F1jqmEor/Wh0opMhokA6ojOxBSt3FLU9cXfvgnuzugxt6sjhG8nMORDOuFXnmd7Zg1dfqlMj1vMwBcUq1p2NZcP5WG4l5aCtFGhga0JPHzucLAxQiyJFJWquJWax83Ii687GUstYlzEtXBjRzLlG9A8QNHFuIAhCV+BnQAksE0XxmyeN9/f3F0NCQip83/ISlpDJ5gWz+FR7FbwVLv0RloEfD93C7PiHjNELQng3FrQenY+qUc4vgz1vc6P7FrptK+Krfo0Y1uzxpSpLzYEPEIMXMEL7J3RsG7BibNOKz1kWRBF+G4AqJphWOd/wRv+XGNK0gusqyILFrRERaJn5BV4uNiwZ5a8ZeUtJiUrNqB82syB3OqYWtREmHn5s97JSoSqGjSMRb+3nU+1pXDTtyI4pLavvpZh0jYKVfSnMy2F33c8YPnJi2edIi4Ttk6UUvvYfQuvppOQU0WveSXS0FOx6rVX1vCRz02DPW3D9d1JEU3abDWfE/z5AW8/o8deo1RAdBGeXwM09YGIPHT4C78EgCMzeH87CY5G808WDKe3qVt1a/oUoiuzYu5u84BX0Vp7BiDwQFFKanrkLaOmCQgsy4yH1NuQ+CNyrVV/KgvAfR4GOOTO3hrLjciI9GtkyZ5A3BjrVb+OJosiBa0nM2XMJ28wrtDNPpY1FBq7a6Wjx4LhB21Bap4Ur2Dam2MaHM3cyWXbyDkG3UjDS1WJq+7qMbemKjpZmvRuCIFwQRbFUL6IK/zYFQVAC84FOQDxwXhCEnaIo1szDIiA6LVeqka1ritLYpszXN3YyY4O6AWNLDkDiJXBqVglSPoRaDcGLwM6Pb8NMMNXPpK+vhizbVm8hXFjFhwbb6BPxCjmFJRjpVuFDFrYVIo+wyfI1CtQ2mqnYpWcCvX9BWNWTn212MfhG7yrP1d51/hYfZX+OoS4IwzZWTCkDKLVh0AqEtYP4KGYewxMNOHi9Ll0alv3vt8LEnEG9bjBZhUpmmXzLvKHDyzePZR0pAG7nVPjjC0iLpFavn5k/3I8hS87w1qbLLB3lX7XHEDf3w86piAUZLFEOYbN2HzZN6oi23lM23woFuL0k/Ys5DQfelzYdYVuh9y+809mDuxn5zDlwEzszPfr5Vr2rXrwfTfiq1+mbcZwiLV2p/7zvEHBsBrqP2XRkxkvHD9d3wtEv4cT36PkM4adOb9DQzoRv9oWTkJHPr6P9sTTSrdoFPURqaiq71s7FLfUoe5Xh6OoUQS6gMpMUsVJHiunISYbIP6BEitPQ1jWhjUtr2jTpQ3jHtsz5I46v94Wz8Xwcs3p50s6jetz1mtgSNAUiRFGMEkWxCNgA9NHAvKUi7tZlQnYtLtM10am51FPESbvEclgcjR3MOK9+0MQi5mSZry8zUUch7Ta3XEdy9FYqr75UR3M7VENLaDGVBhnHaKC+xfGbVZjiUZAF+9+j0NqXDxObM7yZs+bOuF1bQ8BE/O9tpAnhbA6puuA2Ua3G8o/puCsS0BqyGqw0ZCFp68Pg3xAs67JE5yc27ztS9UEsMadhTT9SRBMGFn3C1CG9K2ZZaOlKEejtPoAr62HttpBxrQAAIABJREFUIJrYaDGrpydHwpOZfzRCc7I/CVUx7HsX1g9GZViLN4x/4Keifswb3QqLx1RoeyzOLWDCH9DtW+lYZUFzFDd38+1AHwLdLJm55SoXY+9XzjoeRXE+4tGvKZkbgPP9YP6wm4T2jFvoDFoKdTs8XimDlIbYbDKM3QNTzkkegMvrEeYHMClnEb8OdOHG3SwGLjpDbFpe1a3pT+5dJWn1eAx/8WTs/Z9pbJyBdtNxMHwrvBMF78bA5OMw4ZBUE+HVM/DBXXjzOgxcIbX7vXsFtk+i/ho/fjVZxtaeWoiiyOx94dUWJKYJxWwPPBz6Gv/gZ/9AEIRJgiCECIIQkpKiuZd//PHVNA55l5zszFJfE52WRz1FIspydogyN9TBxNKGRG1n6UVV2Vxei6hvzjvXXbA302d0CxfNzh/4KqKBFe/rbubg9SpsBXniO8hNZo3FawiCkpGBGq7Z3fETBDMn5hkuY8f5iCp7yOIOL6BN0QlC3V9DqNNOs5PrmyEM34iOji6zsj7h4Pkwzc7/JOJDYO0gcvRt6ZH1Pv3bB2qmA5YgQNsZ0HcRRJ+ElT0Z2ciAvo3t+OHwLYIqOx84N1VK5Tq7kJKAyYzV+oY9yZb8MsyXBrYm5ZtToZAU2uQgMHOEjSPQ2T2VBQPdsTXTY9LqC5UfXS+KcGM34vymCMe/4UCJH4sabaDdxG8R9M3KPl8tD+g9F6aFSoFu53+l3YHOHA04S0FuJv0XniYsofTv4QoRexb12kGwqBVGkbs4qt2WmH67MH0nFEX32eDeUTI6HoUggKk9ePV/sJ6rMHaf1Lc+fA9NDr/MEeOPWecfgbKaToqqLERQFMUloij6i6LoX6uW5oJWjN1boCWoibhU+kpcqcl3MSVHcqWVk8aOZpxReSDGngVVJdZlLsiE8D1E2XTlyt183uniofnIaV1jhDbTacZV8sIPU1RSBekQ6VEQvJBiryH8dN2YHt62WJtouF2jrhH0+QWbkkSG5a7iVESqZud/FPeuYnvmU06KPrgPmFU59zB3QXvERmwUGTgcmEhxYRVYKomXYU1/VAZWDMx7l9q2jpo/K208VCq/mnITYXlXvm5vgoe1MdM2Xq68mtp3r8CSlyD+PKo+C5mS/jJBUdl8N8ibDg2sKz5/LQ8YfxhaT4cr6zBf/RK/dVRRUKxi4uqQyuu2lXobfusPG4eTWqjF0KIPOO//PW8OaFfxuARjG+j1k5T2V6cddpd+5ITe2wzmIMMXn6i8jZQoSm7olT1heWdyIoL5rngQ33ltp907G3D2aVMuDygKheTl6D0X3r4BPb5HoSrC4uaG8s2nATShmBOAh0tnOTz4WZXg5tsWgMzbp0p9jZj+oCKURcUU87GCeghF2VLd7Mri2nYoKeCrBF+87E0qL2rafxz5BnZMUa8jOLIKFNjBWaDQZqv5OHIKSxjbshS1vsuDaxtUTcYzTms/54P2Vs49/qQwG9XGUaSrDTnZ6EuMnnYuWQEUTk0JD5xDI/UNElaNl15alUXSdcmi1DPlU4vZRBYY890gn8rpDFWvM4zeCXlp6K/uztIueuQXqZi24bLmPR6hm+HXLtLvbtx+Pov15sC1JD7p5anZM2AtHan96tj9IChw3DGQPQ0OEXE3jdfXa3hdhdnSs7UgEDE+hENObxJ4/xPcm3Xnk94NNRssaOUOg3+D8YfQqlWXd0oWs0drBhtWzWfz+VjN3Uethhu7YWl7WNOPgns3+ZZRdFT/gsfLn/HxoJaaq0+uawwBEySX95D1mpmzHGjiyToPuAuC4CoIgg4wBNipgXlLhYFpLeKVDhgkXSzV+OyCYszzH3jeK2IxO5lzVv0g1aoy3dmX15Np5MaRLHve69ag8gJhtHTRav8+jRVRxJ/ZVDn3+JM7QRC+G7H1Wyy+lI+fkxmNHcvhWislys6fkaljQ/+4r0i7X0lne6IIu6Yh3I9matFrDGjduHLu8xDenUez2nA0Lol7Kfnjy8q5SeptWN0btHQ51nwZq6+reL29O5525XTxlgbHpjDugRL7fSDzW+VzJiqNRccjNTO/qlhK1do2Aez9YNIx1sVZsupMDBNbuzKmsjaJTs3glVPgNwrn8KWcsfyS5PDTfLwzrOJVtUQRQjfBPH84PRfR+2XmNdzAxFsBDGnuxqeaVsoP49hUcgUPWY+tuSELtH+k3q4+bF8zD1VJBSrvFeXBpbWwsAVsHI46L50dDjPwzpjDKavBbHm9E70qy1ARhMe7wquACitmURRLgNeAA8ANYJMoitcqOm9ZSDf3oU7hdfJL0eovJi0PV8U9RBRStF45aWBrTIbSknRdB4gpvbVeJtIiIS6Y3cJLuNUyokVF85afgrbfMO5qOxMYvQB1RR6oJ6FWwf73wNSJELvh3EnNZXizSu4HrWtETpefcBXukbjtg8q5x8VVELaFpVpDULq2wt3auHLu8xCCIODWZxabStqidWKOVE1Lk6RFwqreANwfuIW3DmfRyN6UV14q/4a21NRuIAXrGFvT7uxEvnE+zw+HbhISnV6xeTMTYGUPOPOL1Mt71A7OJiv4aEcYbevV4t3K7kimayS5TIduxIIsduh+hGfIRyw/fKH8c8achhXdYNtEMLFFHH+YOXqv88PpDIY3c+Kz3lWQOy0IUL87ylfPUNJzLvb6xfSL/JD0r70oOPw1pNwq3TyqEog5A3tnwA/1pQYvwL2O8+gp/sQbEY0Z3boem19pUb6qh88IGgntFUVxL1DJfsLHo+PaHIvUPVy4fpkmvk9OE4tOy8VFuEexsT06WuUP79fVUuJpZ8LlHE/ax5yW3C0KDbv2rqxHFBTMTfFjRCf7yn+4FEpifN6kecg0Yo+vwKnDJM3f4+IqSAqDQSvZdCkZI10tujWq/JQfxyZd2Xe4B93i1iJGDECo20Fzk98Lg30zSbJqwTfx3VnUz0Vzcz+Flu5WjHCcjv29TFrsegNBW1+qvFVRksNhdR9QF1M8Ygdv7M8jp6Ck8lzYj8LMEcYfRNg2iSG3f8TEoAOvrxbZMKV9+V7K4XthxxRQFcHA5eA1gFtJ2fxv7UWcLA2YO9QXZVWlZnl0BefzcOwbBgcvJPdkMKHxg/EeMEMqL/s0/sybPvG95IEyrA295iL6juD7QxEsOBbB0KZOfN7Hq2rTzZRaaPmPxspvBEG7V6MbspiAk7Ph5DdSLrS9v1Sh788UJoVCyhtPi4CUGxB1XCqrq9AGzz6ITcawJdWZj3ZeR1+nhBVjAmp8xTFNUP1Z4RrAsVFbOA/J107AUxRzTFoerYR7KC3L0fzhX/g6mXHwfF3aKw5K1X9svCo851+o1XBlI3FmTUnKt6BPYw3k95aC+u2GceXcPFyCv4M2o0BbgwFZ+RlSvqpTC3Lr9GTPxiP09rGrsuIE+S99ws09V3DdMhGdKWfAWAPBPfn3YdMoRD1TJuRMpKG9GZ09NTBvKREEgbe6ejFs4TQO1JqHy/ZXpBQkzwpkLN69Ip0pK7QQx+zhg6Aigm6l8E3/RnjYVL4n4B/om8PQjXD8G7ofn01DrvPL0sm8N3UK5qVNY8pMgH0zIHw3WHvBoJVg5c7V+ExGLT+LllLBslH+Uo/sqkTPBKHrV6i9h3F77Xs0jl6J6sc1KD26SvnQLq3BzElKkxNFyIyD1FsQdQzCtkF2oqSQu3wFTcZSqNDlsx3XWXs2lqFNHfmybxUr5YdRKGnTeyxhTfozatNR6qT+weDca3jcOoDy8m+PuECQ1urRXYozcGtHbJ4OX+29wf5rV2nuZsFPg32xMdVwgGgN5blQzIYOXuQJ+igSn15NLDolh1GKeyitKp7G0tjRjDmnPUAXyZ2kScUcdxYyY1mrPxB/Z/Mqc9uYGerym9Or+MS/TdHZZei0ek1zkwfNgbx06PYNe8LukVekYpB/1RVa6O5Xh+H732J94XtS8YcR2yrm5VCVSE0ZMmI5ELCUq8d1WNnPo8qrcTVxtuDl5u50D55CsMMvmGwZJ9UMD5hQ9slu7oNtk6UgmNE7+fmSik0h8bzewb3iFdnKi0IB7d4Hp0Csd0zj26xPODP3ML5DP0bPOeDxkbPpd6SKeRdWSkcoHT6WymVq6XA+Op1xK85joq/N2gnNcLEqY6lUDaJt54X3Wzv4dM1eXCLWMODOBUzDd/89QFBI1bhUD9piKrTBvRM0+kJSZNr6JGbk87+1wVyJy2ByWzdmdqlffUr5IbzsTVnxem+WBHnR78htStQiI7z0GddICyczXQR1ibT5Mnf9ywiISctl3dFYVpyKRqkQeKeLB6+0rVN13owawHOhmFEouWfshWNmGAXFqiemE6Wl3sWYvAoFfv2Jr6M58WItcvVsMbxzHJpp0PUbthW1Uo819714v23VWMt/0rRDf04sX0FA0HcQMFp6SVeU1NtwdpHU1tDWh807TuNWyxA/pwpWxCoDetpK/ANa8MnpkXwVtUzKo247o/wTHngfoo5R1GMuHx00JsDFgLbVVL/6/e4NOB2ZSt/MNzngsgrtPW9LLvZu35auZKyqRKrsdPIHsPWBwWvZfkfgp8NXGNjEgTc7ulf+Ip5GnXbovX6Om9u+pPG1heit7ITKoi7Khn2k+tXGNlCYI3mvEi9KblGFEhr0lspjWkhBXXuv3uXNjZexN9dn7YRm2JpWXUW4x6GtVPDRyO68t80Rnwtx9HAo5PPGmViQKdXJVxWBhRtYeYC151+NUFRqkU3nYvl2fzhFJWoWDvejW6OylRiubLSVCqa0q8ugJg4sDopi7dkYVoWqsTHRI7COJXZmAoXFUWQXlHD2ThrRaXkIAgzwc+CdLh6aT6N8Bng+FDOAQ1M8MhdwISqBph5P2NmnVTxV6k8cLfSxMNQhVD+AwKg/oKRQciNWFFUJXP+dcJMWFBfo06OKH7QAF3Ommoylde7bcGY+vPRuxSZUq2HXG1IDhw4fEfWgW83MrvWr3Loc0dyZNifaMcI2Ac+jX4KRtdQTuawEL4RziyHwNVbmtyI5O5x5Q32rrXa1vo6Sn4f40m/BKaYyg4UtGyGc+lFSUB0+hjrtH21ZiqLUJe3I55AQIjUB6fYtYcmFvLv1NM3dLPi6f6Oa06hASxePlz/jQMhwgn5fxuDMUzQ68QMCD0U1K7TAqh60eQf8x/51ZiuKIouORzF7fzhNnM1ZMrJJtZaR/DdaSgXfDvSmRV1LPvr9Gm0OGTG+VSsG+Dn8x2NWWKIi6FYq3x+8Sfi9bAJczPm6vzd1az+hilc1U9tEj1k9PfnfS3XYH3aP4Kg0TtxOJTO/CB2lAj1tJT6OZoxt6Uo7j9rPdXDX03huFLO1Z2uU1+cTd/XUYxVzTmEJZvmxUlcpDVjMgiDQ2NGMXUmNCSzaCdEnoG7HCs9LdBDkprCyoAntPGqX/ixNQwiCQLNWHdm7tyldTs1D2WSMZI2Ul4srpcj13r+AUW02nwxHIUB/v6r1BAA4WhjQzsOacXGjOe1WhGL3NMmV5tm79JOc+AGOfAr1e5LdehYLvwuitbsVzdyqL70CJLfhzK71+WLPDd7R78fsAT4oD8+SCk04tZAqG9X2BHNnuB8NSdeks8rY02BsB/2WgM9g0nOLmLzmApaGOvwyzK/qgr3KQBd/D4zNZzJ89QWMtNV80NaS7i4KFDr6YOn+Dy+BKIoP0q2iCLqVQi8fO+YM9K6+FqdPQBAE+vk64O9swUc7wpj7x21+PnIbXyczHM0NMDPQJi2niGM3k8ktUuFgrs+C4X5087KpOZunp2BlpMuI5s6MaF7J2RjPMM+NYjZ0kxpJFMcEA0MfOSYmLReXB6lSgplm/igaO5ox/6YbXxoZINzcpxnFHLaVYi1DduQ0ZGFTx6ePrwT6+trz8r5hdCqZgXLXNBi6vnxVcLIS4dDH4NoGfEdQUKxi4/k4OjSwrjYX1chAZ8aGJ7PXczY9i/4ntesrmf/0aGZRlILXTnwHjQZB34UsPxrN/bxipnf2qBrhn8L4Vq7kFqr48fAtsgsc+fmVc+hdXSttJva89d8LTOyh+3fgNwq0dCkqUfPauouk5BSy5ZVArGqQRflvWtSxYtMrgby7NZTX9qTgaWvCuFY21C/Jx62WgltJOZyKSGVf2F3CErKwMtLhg+4NGN+qevpzlwVHCwNWjG1KYkY+2y8lcORGEqHxGWTkF6OnpaR3Y3s6N7SmRR3LGtVHWEYzPDeKGQMLUvWcscm88thz5ujUPFyEpAepUpqxQhs7mlEo6pBm0wqrm/ukl1xFdq4lhYg3dnFYDMDDoVa1dTcx1tPG19ef7y4O5r1bayB0I/gMKdskogh73pYKOvT6GQSBvVfvkp5bxOhAl0qRuzS0da+FWy1DvjsaT8fJG9DbPFzKAb19CHp899f53T9IugZ735Esf79R0PMn7uerWHoiii4NrfGpxAIpZUEQBN7o6I6Jvhaf7rrO6LxiFo4YjUXABKlTUPINyIgBM2cpbcXE7q+/12KVmqnrL3I6Mo3vBvng7VAz1vQkGtiasP3Vluy+epfZ+8KZvvnKf8Y0tDPh6/6N6OdrXyOt5CdhZ6bPlHZ1q7VVpEzV8/woZqDQvjlNInYSEpVCK4//ul6j03JpLdxDoaluP/DXC/myfiAd4w5K5Tltfco/YeQfCAWZbCxqyrRB7tXqnhoV6Ez3s10YY3EV230zJKu3NDmWf3LqZ7i5Fzp/KQWuAKvPxOBWy5CWdauxqo5C4Is+XgxbdpYfT6Xw3pg9Uj7o8dlSTmj9HpLnw7CWlFsZdxYur5faSfb8EZqMBUFgUdAtcotKeLuGWMsPM7alK+YGOszYGkqveSdZMqoJDe0cpdzgR6BSi7y58TIHriXxUU9PBjap+raE5UWhEOjtY0d3LxvupOZyKymHyJQcXKwMaVHHskZb/TIyj6LmHR5VAEuvThgL+URdfXQlroikbNwUSWhpUDGb6mtTt7YRW7MbAoKUblIB1KGbycCYTNuW1WYt/0l9GxMC69Ziat5ExJIi+P1/UFJUuotv7ofDn0DD/hA4BYDQ+Awux2UwsrlztZ+HtahrxWB/R5YGRXH1bi68NFMqA2nnC1c2wIah8GtHqVdw2DbJSp56EfzHgSCQnFXAqtPR9PGxo14VVPkqD3197dk8ORCVWmTAwtOsOHXnkQ1K4tLzmLzmArtD7/Jut/qMa1VJJSkrGS2lAndrqSHK6x3c6e1jJytlmWeS58pi1nOXGlqoo4KAAf/4ThRFrkdEYaShVKmH6eRpzZKgKIpdA9C+ubf8UcyF2ahv7GF3SUumdmpQ7coLYEIrN8auTONy4Pv4XpoFW8ZKBRqUTyjGkBwOWyeArTf0mf+Xq3T1mRgMdJQMqCHW2Ps9GnD0ZjIztoay87WWaDs2hWEbpM1HXLCUelO7geT2/Ve+85wDNylWiUzrWK+apC8dPo5m7Jzakrc2XuHTXddZfuoOr7Wri42pPsUlak5FpvJbcAwKQeDDHg2Y0LrihXdkZGQqxnNlMWNUm1QDN9xyLpCZ989az7eTczDKjZE+aCBV6mF6etuiUouEGbaQqiZllq+5VlHYDrTUBYRadq12a/lP2taTzmM/jvND7PqNVD1p6/jHt7q8dQBWSkUPGLIOdKSUh/u5Rey6kkg/X3tM9Kq4wtJjMNXX5vO+Xty4m8Wnu6793UhAS0dy29fvLuW+/kspHw1PZvOFeCa1cavWwhSlpbaxHmvGN2XVuKaY6Gkzc+tVRi8/x4TVIaw6Hc3AJg4cf6edrJRlZGoIz5XFDKByaoX/jY2ciEiki/ffkddBt1JwEZKkDxaafQF52prgamXIusyG+ALc2AXNXynzPMknVlKitqZfr/41wloG6fxuXEtXPvw9jJCegwnoopYKa9xvDy1el0o/KrQg+57UGODML2DdCAatANO/LeMVp+5QWKJmdAuX6lvMI+jS0IbJbdxYHBSFran+U4NsMvOKeXdbKPWsjZhWE4pulBJBEGhbrxat61oRmpCJSi2io1RQ20T3hSzgICNTk3m+LGbAwqsjBkIhsaEn//HzkxGp+BqmgaCU8jg1iCAI9PS2ZWusIcXWPnBpTZn746Yl3sHufgihll0JrGulUfkqygA/B8wMtFkaFCWdF/dfKlUj2joevq8PXztKnWDO/AIBE2HCYalX6wMy8opYfiqabl42NfI8dmbX+vRtbMecAzfZHBL3xLGf7b5Oak4R3w3yeSbTVBQKKfe+ibM5jRxMZaUsI1MDee4Us7Zba9QIKGP/VsyFJSrORqUTqHdHUhhPOh8tJz28bVGLcMGyl9Q9KfFSma4/v2sRCkGkcY9K6OhUQfR1lIwOdOHg9SQuxt6X8n2nnJcaibu2gcZDpTSxCX9I6Ub/anyx7MQdcgpLeKOGWpgKhcC3A31o7W7FjK2hfLX3BgXFqn+MySsq4ZOd19h6MZ5XX6rzTKQSycjIPJs8d65sDCxIN6pHg8zL3M3Mx9ZUnwsx99EuzsI15zJ4T6mU23pYG1O3thGL0nxprqUPF1dLTdhLwc27Wbgm7CbWuBFOdTXYCEODTGrjxvpzsXy++zrb/tcCQaGQzmDrd3/idfdzi1h5OpoejWypb2NSRdKWHR0tBYtHNuGLPTdYEhTFkRtJTGlXF0NdLfKLVHx/6CZx6fmMaeHC1PY1c4MhIyPzfPDcWcwAgmsb/BS3+f1cBAAnb6fSXusKCrEE6vesnHsKAj0a2XI8tpD8er3h6hbJ3VsKtu7di4ciHssW5ajZXEUY6moxvYsHl2Iz2HklsdTXLTsZRW5RzbWWH8ZAR4uv+jVi9bim5BWpeGvTFSavucC0jZfRUijYNDmQT3o3REfruXxsZGRkaggVesMIgjBIEIRrgiCoBUF4ciPkKsTCqwO6QjFBR/ex4VwsJyNSedkoVOpdal95YvbysUUUYavYDoqy4drvT73mTmouLtEbKRF0MPQbWGmyaYKBfg40tDNh9r7w/7h6H0VYQiYrTknWck08W34cberV4uj0lzj0Zht2T23F71Nasu+N1jR1tahu0WRkZF4AKrr1DwP6A0EakEVjCM4tEbUNeNPsBO9tv0p4fCpNii+AR9eK9d99CnVrGzOoiQMfXTamwNRNCgJ7CuuPnGWgIojiRkOkZgo1GIVCYFZPTxIzC/juwM2/04seQXRqLmNWnMNMX5sPejSoQik1g562EndrY7zsTWnsaPbMlXKUkZF5dqmQlhJF8YYoijc1JYzG0DNBaDmNpnlBjHdIpLniOrqq3EpzYz/Mhz09sTbRZ3VBG4g9AwkXHzs2KauA2mG/oiWo0X/pzUqXTRM0d7NkRHMnlp28w4+Hbz9SOSdnFTBy+VlUapHV42tGv1sZGRmZZ4UqOywTBGGSIAghgiCEpKSkVP4NW0wFEwfeV6zmh0axoG0Irm0r/bam+tp8M8CbuZmtyNUyh0MfPTZ1at2xKwxRHCa/Xh+N51ZXJp/19uJlfwfmHrnNj4duoVZL6xNFkZ1XEun9yynScopYObZpje4PKyMjI1MTeWpUtiAIh4FHNeP9QBTFHaW9kSiKS4AlAP7+/mVL8i0POgbQ6VMUW8djlRwmNSbQrpqczbb1atGrqQffXOjD59Eryb66B2Pvf1rrEck5aF1YhpFQAO2nV4lcmkKhEPimvzeiCHP/iGDVmRj8nMzILVRxLjqdhnYmLB7ZpMZ0XJKRkZF5lniqYhZFUQMNhqsJrwFwbqlU99ijR5Xe+uNeDflRezx3Qvaj3jaTNal1aelug4eNMStORbP08GWOaO0j17kjhjY1M0XqSSgUArMHeNOyrhXBUWmExNwnK7+YL/t5MSTACWUN73crIyMjU1N5/vKYH0YQoOcP8MeXT8231TR62kre6+VNotVn2B2YROyRpXz7//buNcaOug7j+PdptxrbahELKL1QJAg0RC2pijbxRWmxKLQ1sQSjDUZfqqAhIYBGfWG0RlI1XkOwl2DBYMVwSZRWvPBC1JZyb0VAa7ulN0JasBKh8PhipkktLZTdOfufOX0+yWZn5uyZfX7Zc+a3cznzXzOb0aPE2Jf2ceuEpRz3wnNo7jUjmqtJo0aJhTMmsXDGpNJRIiL6hl7pytpXfbL0UeD7wAnAHuB+2x96tefNnDnT69evH/Lv7RQbls3Dg+vYOnUBd46bz6LtS5mwdyNatALOuqh0woiI6DFJ99o+qs/rDqsxD9Ux1ZgB9j0Fd18L65fBi/+FUWPg4pXVee+IiOh7r6Ux9/eh7LYYNxEuWAKzLoO/XlfdX/q02aVTRUREC6Uxj6Q3nQxzvlY6RUREtFhu+hsREdEiRc4xS9oN/KvBVU4EnmpwfW2RurqnX2tLXd2SutrnFNsnHM0PFmnMTZO0/mhPqndJ6uqefq0tdXVL6uq2HMqOiIhokTTmiIiIFumXxnxd6QA9krq6p19rS13dkro6rC/OMUdERPSLftljjoiI6Audb8yS5kl6VNLjkq4qnacJkqZI+r2kjZIekXR56UxNkjRa0n2S7iidpSmSjpO0WtLfJG2S9P7SmZog6Yv1a/BhSTdJGpmxU3tA0jJJuyQ9fNCy4yWtlfRY/f3NJTMOxRHq+nb9WnxQ0q8kdW4M1sPVddBjV0iypIklsvVapxuzpNHAD4ELgOnAxyVNL5uqEfuBK2xPB84FPtsndR1wObCpdIiGfQ/4je0zgXfRB/VJmgRcBsy0fTYwGrikbKphWQHMO2TZVcBdtk8H7qrnu2YFL69rLXC27XcCfweuHulQDVjBy+tC0hTgfGDLSAcaKZ1uzMB7gcdt/8P288DPgQWFMw2b7e22N9TTz1Jt5PtibEVJk4GPANeXztIUSROADwI/BbD9vO09ZVM1ZgB4g6QBYCzwZOE8Q2b7buDpQxYvAFbW0yuBhSMaqgGHq8v2Gtv769k/A5NHPNgwHeHvBfAd4Eqgby+Q6npjngRsPWh+kD5pYAcbU+XLAAADq0lEQVRImgbMAP5SNkljvkv1pnqpdJAGnQrsBpbXh+ivlzSudKjhsr0NuJZqz2Q7sNf2mrKpGneS7e319A7gpJJheuTTwK9Lh2iCpAXANtsPlM7SS11vzH1N0njgl8AXbD9TOs9wSboQ2GX73tJZGjYAnAP82PYMYB/dPCT6f+rzrQuo/vE4GRgn6ZNlU/WOq4+o9NVemKQvUZ0aW1U6y3BJGgtcA3yldJZe63pj3gZMOWh+cr2s8ySNoWrKq2zfUjpPQ2YB8yVtpjrtMFvSz8pGasQgMGj7wFGN1VSNuuvmAP+0vdv2C8AtwAcKZ2raTklvA6i/7yqcpzGSPgVcCHzC/fG52NOo/kl8oN6GTAY2SHpr0VQ90PXGvA44XdKpkl5HdWHKbYUzDZskUZ2v3GR7aek8TbF9te3JtqdR/a1+Z7vze2C2dwBbJZ1RLzoP2FgwUlO2AOdKGlu/Js+jDy5qO8RtwKX19KXArQWzNEbSPKpTRvNt/6d0nibYfsj2iban1duQQeCc+v3XVzrdmOuLGz4H3Em1wbjZ9iNlUzViFrCYao/y/vrrw6VDxSv6PLBK0oPAu4FvFM4zbPURgNXABuAhqu1FZ++8JOkm4B7gDEmDkj4DLAHmSnqM6gjBkpIZh+IIdf0AeCOwtt5+/KRoyCE4Ql3HhNz5KyIiokU6vcccERHRb9KYIyIiWiSNOSIiokXSmCMiIlokjTkiIqJF0pgj+oSkqZL+XQ/uEhEdlcYc0WGSNkuaA2B7i+3xtl8snSsihi6NOSIiokXSmCM6StINwFTg9voQ9pX14PED9eN/kPR1SX+qH79d0lskrZL0jKR19ehlB9Z3pqS1kp6W9Kiki8tUFnFsS2OO6Cjbi6nuZ32R7fHAzYf5sUuobu86iWoQgHuA5cDxVLex/SpAPUzlWuBG4MT6eT+SNL3HZUTEIdKYI/rbcttP2N5LNSbvE7Z/W99n/hdUY31DNQrRZtvLbe+3fR/V6GaLysSOOHYNlA4QET2186Dp5w4zP76ePgV4n6Q9Bz0+ANzQ23gRcag05ohua2oUmq3AH23PbWh9ETFEOZQd0W07gbc3sJ47gHdIWixpTP31HklnNbDuiHgN0pgjuu2bwJfrQ9AfG+pKbD8LnE910deTwA7gW8DrmwgZEUcv4zFHRES0SPaYIyIiWiSNOSIiokXSmCMiIlokjTkiIqJF0pgjIiJaJI05IiKiRdKYIyIiWiSNOSIiokXSmCMiIlrkfzX3YjwOsUBTAAAAAElFTkSuQmCC\n", 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "for m in result.measurement:\n", " plt.plot(times, m[:, 0].real, 'b', alpha=0.1)\n", "\n", "plt.plot(times, np.array(result.measurement).mean(axis=0)[:,0].real/np.sqrt(gamma), 'r', lw=2)\n", " \n", "plt.plot(times, result_ref.expect[1], 'k', lw=2)\n", "plt.ylim(-15, 15);" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 28, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.plot(times, np.array(result.measurement).mean(axis=0)[:,0].real/np.sqrt(gamma), 'r', lw=2)\n", "plt.plot(times, result_ref.expect[1], 'k', lw=2)\n", "plt.plot(times, result.expect[1], 'b', lw=2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Solve problem again, this time with a specified noise (from previous run)" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "10.0%. Run time: 44.82s. Est. time left: 00:00:06:43\n", "20.0%. Run time: 119.79s. Est. time left: 00:00:07:59\n", "30.0%. Run time: 174.45s. Est. time left: 00:00:06:47\n", "40.0%. Run time: 208.24s. Est. time left: 00:00:05:12\n", "50.0%. Run time: 250.80s. Est. time left: 00:00:04:10\n", "60.0%. Run time: 299.31s. Est. time left: 00:00:03:19\n", "70.0%. Run time: 348.43s. Est. time left: 00:00:02:29\n", "80.0%. Run time: 417.13s. Est. time left: 00:00:01:44\n", "90.0%. Run time: 451.07s. Est. time left: 00:00:00:50\n", "Total run time: 495.12s\n" ] } ], "source": [ "result = ssesolve(H, psi0, times, sc_ops, e_ops, ntraj=ntraj, nsubsteps=nsubsteps,\n", " method='homodyne', store_measurement=True, noise=result.noise)" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "for m in result.measurement:\n", " plt.plot(times, m[:, 0].real, 'b', alpha=0.1)\n", "\n", "plt.plot(times, np.array(result.measurement).mean(axis=0)[:,0].real/np.sqrt(gamma), 'r', lw=2)\n", " \n", "plt.plot(times, result_ref.expect[1], 'k', lw=2)\n", "plt.ylim(-15, 15);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Heterodyne detection" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Stochastic Schrödinger equation for heterodyne detection can be written as\n", "\n", "$$\n", "d|\\psi(t)\\rangle = -iH|\\psi(t)\\rangle dt \n", "-\\frac{1}{2}\\gamma\\left(a^\\dagger a - \\langle a^\\dagger \\rangle a + \\frac{1}{2}\\langle a \\rangle\\langle a^\\dagger \\rangle)\\right)|\\psi(t)\\rangle dt\n", "+ \n", "\\sqrt{\\gamma/2}\\left(\n", "a - \\frac{1}{2} \\langle a + a^\\dagger \\rangle_\\psi \n", "\\right)|\\psi(t)\\rangle dW_1\n", "-i\n", "\\sqrt{\\gamma/2}\\left(\n", "a - \\frac{1}{2} \\langle a - a^\\dagger \\rangle_\\psi \n", "\\right)|\\psi(t)\\rangle dW_2\n", "$$\n", "\n", "where $dW_i(t)$ is a normal distributed increment with $E[dW_i(t)] = \\sqrt{dt}$.\n", "\n", "In QuTiP format we have:\n", "\n", "$$\n", "d|\\psi(t)\\rangle = -iH|\\psi(t)\\rangle dt + D_{1}[c, |\\psi(t)\\rangle] dt + \\sum_n D_{2}^{(n)}[c, |\\psi(t)\\rangle] dW_n\n", "$$\n", "\n", "where $c = \\sqrt{\\gamma} a$, so we can identify" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$$\n", "D_1[c, |\\psi(t)\\rangle] =\n", "-\\frac{1}{2}\\left(c^\\dagger c - \\langle c^\\dagger \\rangle c + \\frac{1}{2}\\langle c \\rangle\\langle c^\\dagger \\rangle \\right) |\\psi(t)\\rangle\n", "$$" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [], "source": [ "op = sc_ops[0]\n", "opd = (op.dag()).data\n", "opp = (op + op.dag()).data\n", "opm = (op + op.dag()).data\n", "opn = (op.dag()*op).data\n", "op = op.data\n", "Hd = H.data * -1j\n", "def d1_psi_func(t, psi):\n", " e_xd = cy.cy_expect_psi(opd, psi, 0)\n", " e_x = cy.cy_expect_psi(op, psi, 0)\n", " return cy.spmv(Hd, psi) - 0.5 * (cy.spmv(opn, psi) - e_xd * cy.spmv(op, psi) + 0.5 * e_x * e_xd * psi)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$$D_{2}^{(1)}[c, |\\psi(t)\\rangle] = \\sqrt{1/2} (c - \\langle c + c^\\dagger \\rangle / 2) \\psi$$\n", "\n", "$$D_{2}^{(1)}[c, |\\psi(t)\\rangle] = -i\\sqrt{1/2} (c - \\langle c - c^\\dagger \\rangle /2) \\psi$$" ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [], "source": [ "sqrt2 = np.sqrt(0.5)\n", "def d2_psi_func(t, psi):\n", " out = np.zeros((2,len(psi)), dtype=complex)\n", " e_p = cy.cy_expect_psi(opp, psi, 0)\n", " e_m = cy.cy_expect_psi(opm, psi, 0)\n", " out[0,:] = (cy.spmv(op,psi) - e_p * 0.5 * psi)*sqrt2\n", " out[1,:] = (cy.spmv(op,psi) - e_m * 0.5 * psi)*sqrt2*-1j\n", " return out\n" ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "10.0%. Run time: 37.96s. Est. time left: 00:00:05:41\n", "20.0%. Run time: 76.64s. Est. time left: 00:00:05:06\n", "30.0%. Run time: 114.65s. Est. time left: 00:00:04:27\n", "40.0%. Run time: 151.38s. Est. time left: 00:00:03:47\n", "50.0%. Run time: 182.40s. Est. time left: 00:00:03:02\n", "60.0%. Run time: 217.82s. Est. time left: 00:00:02:25\n", "70.0%. Run time: 256.56s. Est. time left: 00:00:01:49\n", "80.0%. Run time: 299.20s. Est. time left: 00:00:01:14\n", "90.0%. Run time: 342.48s. Est. time left: 00:00:00:38\n", "Total run time: 382.84s\n" ] } ], "source": [ "result = general_stochastic(psi0, times, d1=d1_psi_func, d2=d2_psi_func, \n", " e_ops=e_ops, ntraj=ntraj, len_d2=2,\n", " m_ops=[(a + a.dag()), (-1j)*(a - a.dag())], dW_factors=[2/np.sqrt(gamma), 2/np.sqrt(gamma)],\n", " nsubsteps=nsubsteps, store_measurement=True)" ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "#fig, ax = subplots()\n", "\n", "for m in result.measurement:\n", " plt.plot(times, m[:, 0].real, 'r', alpha=0.025)\n", " plt.plot(times, m[:, 1].real, 'b', alpha=0.025)\n", " \n", "plt.plot(times, result_ref.expect[1], 'k', lw=2);\n", "plt.plot(times, result_ref.expect[2], 'k', lw=2);\n", "plt.ylim(-10, 10)\n", "\n", "plt.plot(times, np.array(result.measurement).mean(axis=0)[:,0].real, 'r', lw=2);\n", "plt.plot(times, np.array(result.measurement).mean(axis=0)[:,1].real, 'b', lw=2);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Using QuTiP built-in heterodyne detection functions for $D_1$ and $D_2$" ] }, { "cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "10.0%. Run time: 88.82s. Est. time left: 00:00:13:19\n", "20.0%. Run time: 208.68s. Est. time left: 00:00:13:54\n", "30.0%. Run time: 318.16s. Est. time left: 00:00:12:22\n", "40.0%. Run time: 416.87s. Est. time left: 00:00:10:25\n", "50.0%. Run time: 510.53s. Est. time left: 00:00:08:30\n", "60.0%. Run time: 621.76s. Est. time left: 00:00:06:54\n", "70.0%. Run time: 733.11s. Est. time left: 00:00:05:14\n", "80.0%. Run time: 837.64s. Est. time left: 00:00:03:29\n", "90.0%. Run time: 950.83s. Est. time left: 00:00:01:45\n", "Total run time: 1053.90s\n" ] } ], "source": [ "result = ssesolve(H, psi0, times, sc_ops, e_ops, ntraj=ntraj, nsubsteps=nsubsteps,\n", " method='heterodyne', store_measurement=True)" ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [ { "data": { "image/png": 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5Xt6YRAd/V5bcGUOw6Tz8+DBkHbZ1Lw98ELpPAxefyxdkNkDGAUhcC0nrwViJ0asDywyj+KQ4hon9O/HihC446dT1jrXKYOblH5P4Ju4CswPSeZ5laMvO2Y67HPs6uAXUu2xJklqHZknMiqK4AruB14QQ313uWtliluxh79kC/vZlAjq1ik9n9aFvqJdtl7J970LGfkCxHYQRPgw82oKLHyhqqMyD8hzIioPMw2CuAZ0bosvN7HIcxd/2O+GgVfPGrd0ZFx1ot3g3nsjh2e8ScVGZ+a57LG0SF4LGCa5/yda93dBDRSRJarGaPDEriqIFNgJbhBDvXul6mZgle0krqOTeFXFklVTz+qRu3BYTbPtCzlE4s8W2lWh2/H92MPuNogK/zhA+FMKHUBY0hGc3nmVTYh4DI3x4b1pPAj3sPw6cXlDJnM+PkFOmZ/F4d4anvgHn9kDbGJj4PgR2s3uddWGxCs4VVlFlMGM2m9CaKwn288bLw13OLJekBmjqyV8KsAIoFkI8Upt7ZGKW7Kms2sTfv0pgX2ohM/qH8MSYjni7/GGM2WKC6iKoKrQd3OEWZGs9q2zd07HpRTz6zTHyKww8PqYj84ZGNOpGIcVVRuatjCMuo4QXJ3TmHvcjsOU52xaoA/8Ow58BnUuj1f9HQgiSsktIOLgdS8ZhvMuT6Mh5ApQSPJWq368zo6JC7YnRuxPe4T3Rhg+CiBG1O/xEkqQmT8zXAXuBROC3ZslzQohNl7pHJmbJ3kwWK29uPs2y/edwcdAwf2Qk0/uF4Oao/cvrzRYr25IvsupQBvtTiwjzceaD23vRI9izSeLVmyw8+s0xNp/M48ERkTw+xA9l20uQsNI2Rn79P21j0I3Uva2vKmf/z6sheSO9TAl4K5UAlGv9qPTuisWtLRYnHwxqV8oqKqgsL0NfnEmw6RxRSjYOigmh1qGEXQfdb4cuNzXLZi+S1FrIDUaka9bZixW8vimZnSkFaFQKfcO8GRrlR4i3MwHuDpRUm9ialMf25HyKqoy09XRiRv8Q7hoUhqtD0+5yZrEKXvghkdWHM5neL4SXb+6KNisWfn7GtgSsTW8Y+YJt9rY9upGN1RhObyFr31e0yd+NEwbKVB4UBw3Dr9eNuHYaAa7+l7zdahXEZZTw7ZFzZJ/YwQglgVscj+JjygUHD+gxDfrfDz7tGx6rJF1lZGKWrnkJF0r45dRFdp7OJ+VixZ++5uagYXgnf27q0YaRnfybdX9rIQT/tyWFBbvS6BvmxSczeuPvqoPENbD9ZSjPhoBuMPgh6HRj3TcoMVTC2S1YTv6A9cwvaK16CoU7x1yH0GbwHXQZMO73Lv26yCmt4dPdaXxzJIMYkcTjPofoVbkHxWqybfYycD6E9K9zuZJ0tZKJWZL+oLTaSF65novlBrRqhZhQb3SaljUDev2xbJ75NhFXRw0fTe/FgAgf21KuxLWw/0MoTAGtM3QYDVHjICAa/DqC5g8HilitUJUPhWfgQixkHkKc34di1lOEJ5vMMWQEjmb0uEn0j7TPEq2L5XoW7U7nq8MZeFmKeTfsMAOKf0DRl0K7fjBoPnSaUK/kb3fGatts/JoS0JfZPqd1tH1fPdr9OmtfTnCTGodMzJLUCqXkVfDAF/GcK6pizuBwnhjT0bZ+2mqF83sheQMk/wiVF203KGpw8gS1zvb3qnywGH8vr8K9Azv0HfmyohfWdv14cnxX+kdcYV13PRVUGHjz59Osi8+ik7eKBV2TiTj7OZRmgFe4bVJbzzuabktSi5ni1FhKTm5FkxWLe2U6Xqa8y9+icUHxjUQV3BeC+0PoYNsyO0myA5mYJamVqjKYefPn06w8mEG4rwsvTezCsCg/lN9aclYLFJ6F/CTbR02JLRlbzODqR77an515zixK8yK9SkewtxPPjOvMDd0C/1NGI9qfWshz3yeSUVTN1N5B/CMyHdf4BbYla07e0Pde6Df3smPZ9SIE5VmnyDiyCeXcbsIqEnClGoBkazDn1aEUOYWjd2mLWeeJ1cGdKqOgrKKMyooyPAx5hCoX6aTKorc6DUdhOw6VwG4QNR46T7T9XbaopXqSiVmSWrkDaYU8820iF4qr6R3iyfxRHegf7v0/x3BWGcykFVSSmF3GdwnZxGeUoFEpjOzkz7S+wQyL8kOjbtpue73Jwgfbz7J4TzqeTloeHx3F1IAsNIc+gZRNthZ+9GTbR8QwUP/1zPkrKs+hKnk7BSe24JF3AC9LEQBZ+HPevS/GkKF4RY8iKjwcl8tM7BNCkFeuJzGrjIPpRfx8IguvylRGaE8yyTmR9vpTKFjBuz1E3wpdJ4F/l5aTpIWwdc3ry8BYCWa97XuscQQH91+XBrasoZtrkUzMknQVMJqtrIvP4uMdZ8kp06MoEOzljL+bA6U1JkqrjRRW/qfrur2fC9P6BjOpVzv83BwuU3LTSMop54UfEkm4UEqwtxMPjohkQtsqXBMWw4m1YKwAR0+IGA7B/WybrHhHgLPPnxOJ1Wrbra30AuQlUpl+GPOFw3hWnwegSLhxVNMDU8gQgvuMp3OX7g2a0Ge1Co6cL2bjiVw2n8zFUlnILY4JzHRNIKIqAUVYwbejLUFH32ob628i5XnnyU3ejznnBLrCZNxqMvE05P6nhf9Xz6NowC0QlW+kbW5CQFcIGWAbYmgpLxfXAJmYJekqYjBb2J1SwOm8ClIuVlBcacTTWYuns5a2nk5E+rsS6e9Gez+XJumurgshBLtSCnh36xkSs8tQqxT6hHgxppMnt3mm4nFuE2TssyXd36i04OwNQiCsZjBU2GZ7/6pAuHPC2p40l144RI2kZ8xgugd7Ncqzmy1WDqYXsTYui59P5uFuKWGmx3EmOxymXflRFISt9dz115a0b6Td6hZmI/ln47h4ag9kxhJUfgI/UQiARSicJ4gsVVsKNYGU6gKoUrlSJZyosWowGPUY9XrcRDmBSglBShGdNHm0JxOdsL3MWd2CUIVdZxtLDxtiW+bWkn5+fusJqCmx9QKYqm079v3WG+DsbXuxa0kxX4ZMzJIktShCCOIzStiZks+ulAJO5ZSjUSmM6RpA3zBv3M1FBFQkoarIRl2ZC1VFlNSYKaqxUm51IFv4kosfDm2j6R0dzeiugYT6NM3uaL8prTby4/EcNiXmEXuuCB9Rwr3eJ5iki8W/9JjtosButnXnIQNts9KvdIjKbyxmDLlJ5J85RNW5OBwKTtBGn4YDtiSaK3w479INY2AMbpED8Y3oQZCfD9rLDFMIISioMJCcV8Hp3HLbi11OCaLwDH1Ipr8qmcGaFLxFCQBW10BU7UfYejDCh4F7UAO+W7V8bKugMC+T0nMJGHNOohSl4lSRgbs+Bw9LETpMl79fUaN38MPiHYljUGd0gZ3AN8rWo+Hq36KStkzMkiS1aKn5lXxz5ALr4rMoqf7zL1+VAt4uDnQKdKNzkBudAt3pHOROpL9ri1nmVlhp4MfjOayJyyI5t5xAirjb6zjj1YdpV5WMSvz6TM4+4NPBthzL0R2rzo0akwV9dRWGmgrMpdnoKnPwMub+noQrhSNnVBGUenRBFdKPoOihREZ2stt6e73JQsKFEg6lFxObVkhpZjK9OcUg1SmGapLw+PVgQLN3FJrI4bYZ6u36gmdIvROd1SrILSjkYvoJqrJOIvKTcS89TTtjOr5K2e/XFQk3spQ2lDgEUaXzR+/oi0nngUnliElxwGyxYjLqMRtqoLoIraGIIAqJUHJpr+Tgquj/85wOvlgCu+MU0gdV214Q1BPc2zRbspaJWZKkVsFssVJpMGMwWzGarbg5anB31KJqxk1f6upUThm7UgrYn1pIXEYJillPDyWNXup0Omov0l6Vh58owtFahYuoRqBgQEsNDlwUXpRo/DG4BmMO6IZbWAzhnXrQzrvphiX0JgtHL5QSe66I2LQCqjNP0E+c4DrVSfqpU3DCAIBR54nRuyPqgM44+EWgcgu0tUp1LqDWYbAqlJaVUVZeSllRPlWFF7CU5eBWcY42pgzaKQW/12lAS5Y2jHL3KMx+XdG17YZ7WE+CAtviqK39mneLVZBdUkPKxQrO5JWTl5WOKS8Zl/I0OivniVbO0UHJQq3Y8lyNzoca325ognvhGtITlX9n27yG+k5ArAOZmCVJkpqB0WwlNb+S03nlpOZXUlJtpLTahNkq8HNzwNfVAT9Xne1PNwci/V3xdNZdueAmpDdZOJldxpHzJRzPKMSce5KgikS6KOfpoMomSsnCXamuXVnoyNe2o9ytPWafjji16YpvRA+820WhNGIyNJgtpOZXkpRTztmsi9RkHse5KJEOljS6KelEKtm/J2szasq1/lQ4BFDjFIDFwQvF0QOVTzidxj9gt5hkYpYkSZLspsZo4XxRFdklNWQVV1FTWYa6Oh9tTQGOigFHxYKjGlxc3HB1d8fHx5/A4AgcXL1bzDjvb8vizhVWkZlXSFVOMiL/NE7laXiZLuJvycdPFOGuVONONWma9nR4Md5u9dclMTftrv2SJElSq+OkU9M5yDbW31opikKQhxNBHk7Q3hfo9D/XmC1WqgwWsmsMOJguvQStscnELEmSJEmARq3Cw1mFh7MWaL6zxpulK1tRlAIgw45F+gKFdiyvpZDP1fpcrc8mn6t1kc/V8oQKIfxqc2GzJGZ7UxQlrrZ9962JfK7W52p9NvlcrYt8rtatZSwKlCRJkiQJkIlZkiRJklqUqyUxL27uABqJfK7W52p9NvlcrYt8rlbsqhhjliRJkqSrxdXSYpYkSZKkq4JMzJIkSZLUgsjELEmSJEktiEzMkiRJktSCyMQsSZIkSS2ITMySJEmS1ILIxCxJkiRJLUiznC7l6+srwsLCmqNqSZIkSWpy8fHxhbU9xKJZEnNYWBhxcXHNUbUkSZIkNTlFUWp9oqI8j7mOzhVWceRcMQkXSiiuMtKtrQfdgz3pH+6No1bd3OFJkiRJrZxMzHWwLekic1fFIQR4OGnxcdHxS9JFAK7v7M/Su/o2c4SSJElSaycTcy2ZLFZe35RMez9XPp3ZhwhfF1QqhXK9iYW70li4K42jF0roFeLV3KFKkiRJrZiclV1LXx/JJL2wimfGdSLS3xUVAmpKcHfU8uCISLyctXyw/WxzhylJkiS1cjIx10KlwcwH287QP9ybUZ39oSIPlo2BN8Pg0yG4HPg/HunrzK6UAo5nljZ3uJIkSVIrJhNzLSzenUZhpZFnb+iMkpMAi4fDxVMwaD5onWD3m8w6/QAhTno+lK1mSZIkqQHkGPMVVBvNLN13jgndg+ipSoflN4CrP9yzFQKjbRdlHkG1fDwrvJYz8vR9nMwuI7qtR/MGLkmSJLVKdmkxK4oyTlGUFEVRUhVFecYeZbYUe84UUG20MLNfCGx+Chw9YO7O/yRlgOC+MPZ1wov3Ml+3kTVxmc0XsCRJktSqNTgxK4qiBj4BxgNdgOmKonRpaLktxS+nLuLprKVf5XbIOgKj/gEuvv97Yb+5ED2ZR1RryD6xC4tVNH2wkiRJUqtnjxZzPyBVCJEuhDACXwM326Hc2rFaMZlMjVK0yWJlW/JFxkV5oN7xLwjqAT1m/PXFigITP8To6Ms9xi+JPVfUKDFJkiRJVzd7JOa2wB/7brN+/VyT2L/ufc69MRBDhv23+Dx8rphyvZl7VT9CeTaMewNUl/mWObiiuu5hBqmTSDy4xe7xSJIkSVe/JpuVrSjKPEVR4hRFiSsoKLBbuZ4+gXiYC9Atvx5+egL0ZXYre8upPAK01bQ/+xl0uRlCB13xHl2/u6lQe9I1dQlmi9VusUiSJEnXBnsk5mwg+A//3e7Xz/2JEGKxECJGCBHj51erAzZqpeuoGSzvtYbPzWMQcZ/Bl7eBaPj4rhCCX05d5Cm/WBRTNQx7unY36lzI6TyH6zhK4pHdDY5DkiRJurbYIzEfATooihKuKIoOuB3YYIdya+2RCTGs9vk7r6rug8xYOPltg8s8kVVGQXkV46t/hLAhENC11veGjnuIMuGC9sC7DY5DkiRJurY0ODELIczAg8AWIBlYI4Q41dBy68JRq+b9ab34Qj+ELIcOsPUlMFY3qMxfkvIYq47HWZ8H/e+vWzyuXhzwnUJ0+R5pocsOAAAgAElEQVRM+WcaFIckSZJ0bbHLGLMQYpMQIkoI0V4I8Zo9yqyrLm3cmTkwnCcrp0N5Fhz8uN5lCSHYnJjHfJdt4BkCHcfXuQzXwXMxCxWZO5bWOw5JkiTp2nNVbck5a0AoBy2dOOszEva9B+U59SonKbccp6JTdDaehH7zQFX3c5YH9ujKIVUvPM9+C1ZLveKQJEmSrj1XVWIO83VhWJQfT5ZNRliMcPCTepXz4/FcZmu2ILTO0GtWvcrQqFUUdZiMt6WQ4kS5dEqSJEmqnasqMQPcNSiUY5Ve5AWOgOOrwWys0/1CCHYfP8PNmoMo3aeCk2e9Y+l5/XRKhCtF+5bVuwxJkiTp2nLVJeZhUf4EezuxvGYoVBdByqY63X88q4x+FdvQCSP0ubtBsYT6exPrOorQgp1Yq4obVJYkSZJ0bbjqErNapTCzfyhLc8MxubaBhBV1un/jsWzu0GzHHNgT2vRscDyOfWehw8y5XXWLQ5IkSbo2XXWJGWBqTDA6rYadTmMgbSeUZNTqPqtVkHliJ1FKFpq+c+wSy4DBIzlNKJoTq+1SniRJknR1uyoTs5eLjun9Qngluw8C4NiXtbov/kIJY/Q/Y9K4QPRku8TiqFWTHnQjoYYUTPln7VKmXZlq4MwvsOlJ28fJb+s9m12SJElquKsyMQPMGxpBnuLLWbf+cPSLWi1Z+iXuNBNUh6DbVHBwtVssTr2mYhUKFw/W7gWhKegNRg4vewLDa6Hw1W0Y41Zijl8F6+bAu51h/d/BWNXcYUqSJF1zrtrEHOThxJQ+7fiwdJDtZKgzl1+yZDRbcTy1GkfFhLaffbqxf9M7uitHREecTv9gl328G2p7QjJH3xxDvwtLiNX15xmnlxhoWUqnqkVMMr/Kz+5TEEe/hCUjIT+5ucOVJEm6pmiaO4DGdN/Q9ow+0otyJ3/cDy+GTjdc8tq9ydnMsG6kxL8fXkHd7RqHh7OWBPdR9K/8BC6ehMBudi2/LjbuOUS3bbNooyomrf8rDB03n6GKwr+FIDG7jJ9O5PJcfCc2qrvwQeUC1EtGwp0bILhvs8UsSZJ0LblqW8xg23Dkhh7BLNePgPSdUHDpfatz960gSCnGbfRTjRKLpdNNmIQaw7E1jVJ+bWTlFdBh+1x81VUod/9E+/EPgaIAoCgK3dt58uwNnfl63gD2iW5M4S0szn7w9fRaT6CTJEmSGuaqTswAD4/qwGrrSExoEYcX/+U1FdV6Bud9QY5TFJoO1zdKHL07R7LPGo31xLfN0p1tsVjIWT6LSDKpueUzNKEDLnltVIAby2f3JaXKhfssT2MxGWD17aAvb8KI7Ue0gOEDSZKk2rrqE3OEnytzx/Vng6U/5oQv/zK5JG77knAlF33//7Qg7a1PqBeblcE4VWdD5uFGqeNyjq58in6Gg5zq9hS+Pa58KEevEC+W3BlDbKUv99TMx5qfgnXdPS1ijPxKLFbBigPneeCLeIa+tZOI5zbR+5WtjHt/D89/n4jeJPculySp5WpQYlYU5TZFUU4pimJVFCXGXkHZ292DwogPuA2tpZqSgyv//EUhCExcSJYSRPiQ6Y0Wg4NGTWnIWAzo4OS6Rqvnr5Qk7SAmYykH3MbR7dZnan3f4Ehftj82DJfO1/Oy6Q5Uqb8gElZe+cZmZDRbefjro7y04RRJueVEt3XngWHtGR8dSBtPJ746fIE7lsZSUlW3rVolSZKaSkNbzCeBW4E9doil0ahUCn+7YyonRCSWve9hLUi1fUEISjc8S4TpLMkRc1DUjTsXLiYqmG2WnlhOfgcWc6PW9TtjNWyYT4bwp82Mj1FUdftf7u/uyCczehM6/hEOWrpg+fk5KMtqpGAbpsZoYd6qODaeyOXZsZHsvsOLBZHxPGVdxmttDrBsuJFFUzuSmF3G5IUHyCxu2JndkiRJjaFBiVkIkSyESLFXMI2pnZcz+UNeRbEYMC4eBRkHsG5+Cs+jC/mGMXS/6cFGj2FwpC8bLINQVxfC+aZ5lzFv/Rde+izWtHmasCC/epczc2A47znPx2wyIX58uMV1aZssVuaujGPPmYt80/cs9x0ZD4uHweYn4egq2PwUfH4DY34eybaBiZRVVjHzs1iKW1HLuaTKyHcJWXy6O41D6UXUGGWXvCRdjZpsuZSiKPOAeQAhISFNVe2fjBo1juczFnDvhaeIWD4eFbDEfAM+k94iwMO50evvHOjOCcd+6HHGMfFbaD+ycSu8cAj1kUWsNI9m2JhbG1SUVq3i5pGDeX3D7bycusK2m1qvmXYKtOFe3ZhEbtpxYoNW45eYACEDoe+9ENwfPNpBRR7knYDDSwg58hr73cK4t3QW81Y68MW9/XHU1v3M7aZyMruMVzYmceR8MdY/vA9pVApjuwby/ITOtPF0ar4AJUmyK+VKM1YVRdkGBP7Fl54XQqz/9ZpdwBNCiLjaVBoTEyPi4mp1qd0VVhq47d2f+JdqCfGGYE61n8uSu2JQGmnS13975OujXJ/yEhN0R1GeTAWNQ+NUZDEhPr2Oi4XFPOy9gK8fvL7Bz2gwWxj25nY+5yU6aS/C/Hhw8rJTwPX39eELrP1+HV86v42jTgejX4aeM+FS3fZnt8Lmp7GWXOARwzyU7rfx/rSeTfYzUBfr4rN47vtEvJy1TI0J5vrOAYR4O3M0s4QDqUWsOpSBWqXw0KgO3HtdOBr1VT+fU5JaJUVR4oUQtZqLdcV/xUKI64UQ0X/xsb7hoTY9X1cHnr51EHdWPsgK7RRen9ytSX8hD+vox1rDABRDOaRua7yKDi1EKTjNc4Y7mTm0q12e0UGjZt6wDjxWORNRUwI7/22HQBvmyPliNm34mq8c38TBIxDu2wu977x0UgboMBrm7kAV0p8PdZ/gm7iE1Yczmy7oWhBC8M8Np3hi7XFiQr3Y9NAQHh/TkR5tXPGqPMtIy0FecP+JQ8OTmRt0juWbD3Dfqng541ySrgJX9c5flzIuOpBXb4kmKsANfzfHJq17SAc/nrR2pUbjiVPiOug0wf6VlGXDrjeIc+hPiuNgxkf/VYdH/UzvF8KCXR3ZqBrLjUeWovS5CwK62q38usgureHzlctYqnkLtU8kyl3rwS2gdjc7ecLMbxHfz+PFpC/5cItCZc8PcHVoGf8kPt2dzucHznP34DCev6EzGoseYhfDwY+g9MLv13kBjwKPOsLB9C68s+B2Hpz7AB7OumaLvbZKq43868ckknPLUSkKWrVChJ8r3dt5EBPqTbd2Hs0doiQ1iyt2ZV/2ZkWZBHwE+AGlwDEhxNgr3decXdktwcSP9vH36gWMM+2AJ1PtemAGAGvvxnr6J4ZWv8m9Nw5n9uBwuxa/MyWfR5fv4IDLkzi36w6zNzba+u9LqTFaePSTb/i/0sfQ+YTicM8mcPGpe0FWCyVfzMYrfQMbI1/mxpkP2z/YOtp3tpA7l8VyQ7cgPpreC+XUd7aTv6qLoF0/iJljexnyaQ8mPRQkQ+Zhag4swqkmj1R1BP53LMU9ok9zP8olHcss5e9fJpBfoWdYlD9gGypJyasgv0KPFgt9Ivx5bHRH+oV7N3O0ktRwdenKblBirq9rPTG/80sKsbs2skb3Mtz8iX0nUaXvgpU3853HXbxWOZF9T4/ESWf/iU1v/Xyasr2LeE27DKYss9sxmbUhhOCZL3bxQOp9tHE0o3tgN3gG179As4Gz74wmtPok5ZO/xrf7GPsFW0dZJdVM/Ggffm4OfD+3Fy47noeEldCuL4x+BUIHXvpms5GU7cvxPPBvvJUKxIgX0A15+PLd+k1Mb7KwZE86H+44i7+bIwvu6E0Pt3I49QOkbIayTETlRRSLkVx8OWsJosSrO71v+hvBkdHNHb4k1ZtMzC1c3Plipnx6gET/f+Lm4gzzdtunxWk2wqeDMRgNdM//F/PHRPPgyA4NL/evqrJYuWPxfl7Ke5AoNwOah+JB59Iodf23DQnn8ft+On01qWjm/ATB/RpcZnZeLlULrydYXYLTA7vAL6rhgdaR2WJlyqcHScuvZONdYYRuvgsKTsN1j8KI50CtrVU5OxOSMf4wn7GqI1gjRqKaugIc3Rs5+ssTQrD5ZB6vb0omq6SGCd2CeHOACdd9r8K5X5cOBvUA/y7g4gdaZ8xF6ZRkJOJdfhq1Ishy74X/2CfRdbmhyXto6qK02si25Hxi04sorTFBVQHBIpdwdwh2FUQEtyM4MhrFvU2Lfg7JvuqSmFvGgNo1pmewJ26OWra63sStOe9A1hG7JBcOLYDCM3zW9g20Zc7MGhjW8DIvQaNW8cGMvjz93j2sqHwR6+63UY1+qdHq+43BbKF604sMVCdhvXmRfb5vQNvAIBb2/oTbEmahfDENxwd2N3ky+3hnKscyS1k20YvQ9ZNBXwYzv4XIUXUqZ0TvzqyzLue579/jlfTPEcvHodyxDtzbNFLkV/b2Lyl8sjONToFurJsRQsyZ92HVOnD2hZEvQvSt4B3xp3s02MbICnPOc+C7j+mRvx7d2hkYQobgcMMbENhyWtBCCA6mF/Hp7nT2pxYQI5KZ6niIvkoyIdZfN+TJ//XiY7Y/DCpnTKFDcO0xCTqOaxErHOrMYgKzAawmUGnAwa25I7oqyBZzM/nbl/Ekn89lh+oBlA5jYMpnDSuwLAs+7kdV8BC6Jd/JvKHteWZ8J/sEexnrj2Vj+XYeN2tiUT8Yaxv3bERbv13K6MTHyel4J22mf2TXsisNZp78v4/52PwvVFFjUW7/qsm6gY9lljJ54QHmRVXzdMGzICww8zto07PeZX6yM5VDW9fymdNH6Fw84Y51ENDFjlHXzkfbz/LO1jNM7xfMq1HpqDc+ZPtlPvBBGPxwrV+AtiZmcnjt2zyoWoe7Uo0y+GEY/hxomnei25HzxfzflhSOnbvIPS77uEe3Dd+acwidG0roQAgdBAHRCJ0r+QY1p86mk5V2Ek1BMiNUCQQpxVhUOlQ9Z6AMehB8G6eXqyHKakzEphWSk3IEl/NbaVNzmhDzBdpyERX/ySEGrTvCIxSHttEoEcMhfBi4BzVX2PUirFaqywox15Tj0SbSbuXKruxW4JsjF3j620TiY7bjk7QCHj0Fbg2YPb3mLsSZLTzhv5hNmTp2PzW8SWacCyF4duVWXkifBWHX4Xr3t41WV3l2CiwZTqEumIin9jbKGvD1x7I5uvYN/qldafulP/xpu9fx36qNZiZ8uI82hnOs0ryMSusEs35ocHe61SqYuzKOwrNxrPN4F60wwazvoU0vO0V+ZUv2pPPapmSm9fThDacvUY6uhDa9YfLSer3EJeeW8+jnO7mnZjm3qXZCQDe4dXGzvHBUG8289XMKnx84x0yXOJ7WrcGtJtv2/e17L3S9FXSX3riouMrI6tjzJBzcwaiaLUzR7EWLGaXLTTDyH+Brv6RQH9VGMz+dyGXvsSQ6ZXzFzaq9tFWKsKJwURdCgWMExc7hlJh1lBgEZZVV+JguEqpcpIf6HJ5UAGBt0xtVzxm2eSjOLWcin95k4ci5IlITD+GYe4TA8uOEGlMJFIU4KwZS1e2JfDHBbvXJxNwKFFYauO7NHczsYOaF9Jkw/FkYXvsDJv4kZTOsvp2THedz4/GB/HNiF7vPxL6cokoDq955nEfEKsxTVqKJvtn+lZj05L43BKeqbIru2Er7qMZZoiWE4PZFB5mZ9wYT2Q3Tv4aOVz6NqyFe2ZjEtv0H2er5b3RqNczZ/D/duvVVUmVkwod7CVbyWK37NypDGdyxFkIufeynvaw/ls3DXx9jRmcNr+lfR8k9Dtc9AiOer/V4+V8pqDBw36o4vLO286HLcpysVShjX7MlwyYas43PKObxNcdxKD7NUu9VBFedgoBo2+Y2dRx6MFusfJeQzbJfDnNDzQbmabfggNG2FHHYM7VfAmgnRZUGVhzMYOuBI0w1rWe6ZicOmChtOxzXXrei7TQeXP93e18hBOeLqok7X8zeM/nkpMQRY05gkvYgHclAqLQo0ZNhwAMN6glqiGqjma2n8kg+tJm2uVsZpRyhjVIMQKnahxyXLlS7tMXo0ga1Xwf6j51ht7plYm4l3th8mkV70kiMXIxrSTI8dOyyb9h/qaoIFgzA5OxHv4Ln6RDozdfzBqBSNe2kki0nsmi37gbCHCtxeTTBtk7Yjiq/nY9r4kqWh7zB3XMesGvZ/y0lr4JJH25nq8frtLXmwtwdjda9mJxbztyPfuBHl1fx0pph9ibwt+8QRHxGCdMWHeS2DgqvVzyPUpEL01dDxHC71vPnOouZviSWKf55vGb8N4qxytZKttNLjt5k4dnvEtlzNIlVPp/TpSoWOt8EN33YqGO1epOF97aeYcXe0zzn8iMzLetROXnYZsz3uB1U9V8BUWO0sGz/OdbsSmCOdS0z1dtRaXQog+bD4Icaffz2fGEVS/elEx8XyxzWM0mzH5WioPSYijL40Tr34BjNVg6mF7HmSCYZSbFMVnZyu3YPTqIGa/BAVAP/ZtvHoQHfs9owW6zsSy1k15HjeJ1Zy83sIkx1EZOio7TNUNx73oRDhxHgEdyoL3YyMbcSpdVGhry1k5lB2Tyd+ygMfRJGvlC3QtbORiRv5J+Bn/BNpjubHx5KuG/TzI7+b/9eupqnMh+gqusM3KcusF/BJ9bCd/eyxDqRiY8vJdCj8bvo/7nhFNsOxbPb45+oXXzg3u12nwxmtQrmLfiJFwufIMShCmX2RtvM5EbwW5fyG2P8uf30Q1CUBtNWQdQVtx2os8ziam75ZD+TNPt43rwQxT3I1vPg39mu9QghWLArjbe3JPMPn13Mrvkcxa2Nbb6GnSYF/tHJ7DIe/eYYfoWH+Mh1BT7GbNvWr2NesWsXbXGVkY92nGXPoVie1KxhnHIQ4eyLMuxp6DPb7mPqZy9W8MH2s1w4uZ+/aTYwRnUENA6oet8Fg+Y3bCnir/Ir9KyNy2JDbDLXVfzMHO0vtCUfi3sw6gH3Q+9Z4Gi/DWWEEJzIKmNDwnkqjv/IeNNWhqpPoEZQHjgA1wF3o+oysclWkoBMzK3KxzvO8vYvZ0jougbv85vgb4dqP/Z28ltYN4fMXk8w5GBvnr+hM3OH2qcLtD7yK/RseudeZvMj1jt/RBUxtOGFFqRgWTScOGMI+wYt4/FxTbPLWGGlgWFv7eTe4GwezXkS2o+wJZcGdMH+t/UHEun483TaawvRzt7QKMnkN0LYxpt3nyngu9md6bZjNlw8aWvFdp1kt3rK9SZu+2QvUys+5x7WQ9gQuG1F/TZ/qaWfT+by6DfHGeR4noWOH6OrzIFRL8Ig+6zhtloFy/afY8nPR/iHw1dMsO4C7/Zw43sQMazhD3AJ6QWV/GP9KcrTYnnVdS3dTSfAK9z2bF0mNfjZUvMr+GDbWQpO7mC+dj2DlRNYHdxR9ZsL/R/4y+7qhrJaBXvOFvDFgXTUqT9zj3oz/VSnMWucUXregTpmdoNm218oquaHo1kcjz/AwIqfuVW9D2+lAr1TAJreM9H0mWm3YaK6kom5FakymBn61k76+xlZUHyfbezvjrVX7lLJS4TlN4BvFI+4vMGOM8XEPnd9o2wmUhffHjpDzKYJ+LhocJ2/v2EtiepixGejKS8pYBpvsfapybg52i8xXsl7W8/wwfaz7L3+AsH7nrFtBHPTx3bp7iorLiDrw7F04AKaWetQtR/e8ICvoLTayIQP96Eo8NO8Hnh8Nx0yD8OYV2Hg3xv8XGaLlQc/2860rFcZoTpm26Fs/Ft2fZm5lJPZZcxdGYehspS1bVbTvmArhAyCiR80aBJdTmkNT687jl/69/zL8StcqUa57lEY8gRom2Zy5YbjObz+UxKdqw7zsstaQkznIKinbTy7Hi8G6QWVfLwtGf3JH5mr2Uwv5QxWZz9b13Lfe+zacr2cjKIqVh3MIPnoXm41/shN6gNosVDm3hFNz6m4dBln2+HuMj+XlQYzRy+UcPDMRfJSDhFWvJcbVIeJVOVgUTRYO4xH2/cu20l+jdxlfiUyMbcyy/ad4+WNSewYnERE/Ksw7QvoPPHSN5Sch8/GgEpD8e0b6f/JaWYOCOWlic2zZ/UfCSF4aeFKXrj4GObQITjP/rZ+/yDMBlg1CWvmYabWPMvNN01u1HXZf6VCb2LY/+2iS5A7X7TfDrvftE3GGfFswwquKiTro3H416STN/4zQgbYr8V6JUcvlDB10UEGR/ry2YyuqH+4H5I32LpIb3i73klUCMGi1eu4MeUZglSlqG940zYZqwkVVRp4/vuT/Hwqlyf843nA8Blqcw0MedzWJVuHbkshBGviMtmwcT3zWc0A5RSiXT+UiR80ywxwvcnCqoMZfLozhWGGXTzj+C3+1gJMQTFoe0+3zQC/zEtwfrmeLSdzOJmwj+C87UxT78JPKbV1JV/3sO2lU9s8R4eaLVb2pxWxIz4Jl7PrGW3eTS9VKgBlKk9y3LpT7RaKyT2USsWFcoOVsioD+uIsnKqyiVSy6K1KxVkxYEWFqd1AHLpPsvUEufg2yzP9FZmYWxm9ycLIt3cR4KblO/UzKCUZMHUFRF7/vxdXFdqScnUhzNnCp8k63th8mm2PDSXSv2Us7s8r07P0/Rd5QSzGPORJNKPqOG4uBHx/H5z4hlccHmenbihbHhmKthmONPxs3zle2ZjEqjl9GZL8Lzj6hW0ewJAn6tfCLM+haumNqMsusLHz20y5fbbdY76SL2MzeP77kzw4IpInRneAna/C3ncgeADcsqDOy5iE2cC+lf+kf8Yiahz88LjrK2jbPPt0CyH44Vg2L60/haOxiKX+6+heuh2cfWDA36Df3Cu2CE9cKOKH9WsZmv8Vw9XHsTh6ox71PPSZ0+zbm1boTfxwNJt1sWn0Kfie29U7iFJlY0ZNgXMHyry7YfDuRKVwoNysoaS0FFNhOl76TAaqkvBTyhAomCKuR9f/XttJa83ckvwjq1VwMqeM46dOoT63m8CiWEKNZ2nHRRwU8/9cb1S7YHAPxTFiENrwwRA+tEUl4z+SibkVWnMkk6e+PcHnU9ox/MjfIT8JJr5vO8IQwGqBo6tgx6tgqIA712Nt15/hb+8iyMORb+67zB7KzWB7Uh7FX83lNs2euu2lbTHDpicgfjmHwv7G7aevY8WcfgyLsv94V20YzBZGvbMbZ52an/4+AO3Gh+DE19B3Lox/s26/1LLisa69i5qyQl5wfpE3HrsfB03T/1IUQvDsd4l8fSSTT2f2Zlx0ECSug58es/VUjHzBNsaovvLGgKa0vRSteZBAw3kS3YbS9b7PUbk23nhybRVVGvhg+1m+jL1Af81Z/uH+E50qYxEaR5SwIbZJbwHRtlamgzvmsmzOpZwg6+ReupTsIEApRa/1RDf0EduYq70PmmkgIQSncso5lFZIcXo8bXO2EKFPpquSjrtS86drraiodAyEtn1w6zYBJfL6Rhk/bkxGo4nyggychAFnrWI7xtYtEBw9W822pk2WmBVF+T9gImAE0oC7hRClV7pPJub/ZbZYGfPeHjRqhc3390S97m5I2w4eIbYfQH0ZFKbYWjXj34Q2PdlzpoA7lx3mw+m9uKlH8223eCmvrU9gdPz99FWdQRn3Bgy4//I3GKtg3T1wZjMVMfPpFzuYoVF+LJpVq5/lRvPLqTzmrYrnhQmduXdwGGx7CQ58CJ1utE0AcvW/fAFCQOyn8MuLlKq9ubNqPi/dN5M+oc23BaPBbGHqokOcyatg8Z19GNLBD8pzbck5ZRO4t4U+d9teDP97Ha2xGpJ+wHz4MzQ5cWQJXxK6Ps/E2+5u0rPNayOtoJKFu9LYlJhLhOksM50OMkJ9jABT9l9ebxBaLvj8f3v3HR1V8TZw/Du76Y2QRkIKvRN6R3rvSBOUIqKIDVSwF8RXfygqIgoCgvQivSO991BCh4SQBoGEQEJ6srvz/rFRUVrKJrsJ8zknh5R75z5zSO5z79Tm+LUYjH2NbrmfvmhGUkruJKdz73Y0LhodztY6bGwdjNOAzLw6mlK4ibkjsEtKqRNCfAsgpXziUkkqMT/cxjM3eHPJKSYPqE2f2qWMa1/fOg9JMcbt/Zq8Zuw3yb75vbIgiJMRdzn0UVuzvHk9SYZOz+Bf9zDy9kQ6iOPGJRjbfvbwQTPXT8CmcRBzGrpM4vWQeuy6FMuOd1vhV9K8N0cpJcPnHSco/C67xrbCy8UODk+H7Z+DtQO0/QQajHjwDVNKCNkOB36EyENEeramR9Tz9H8mkE+7F34/5X/FJqUzdM4xwuJSmDqojvHNWUoI2WZ8kLi6y3igk7dxJKuVLdwJg8QokAYiNb4szGpLzR6j6dWo8Df9yI3UTB1/nrvJnstxnIlOQN4JI0DE4mWVir99Bm6lAihftTZ1atfFydGy3o6V4sEsTdnZezP3k1K+8KRjVWJ+OINB0nPaAaLupLH81aZU8X50n/HW8zd5deEJ3mlfmTHtLW9t3b/cupdO75/3MtYwj376zWDvZhxoVLU76DMg7a5xW8MrfxoXhuj5CwesmjB4zlHGdqjMW+0so27ht1Po+OM+ugZ6M2Vg9pKWt0OM+ySH7Tb2YZZpZmzR0GdAQhREHjHuleziy+myI+h9rAodq3sz/YV6WJmhv/xhElOzGD7vGKejEpjQqyaDGwf889Z7OxQuroP4MGNC1qWBW3lirXz57Kw7h/RVmTmkAc0qWGaf3uMkpmaBABc7K4t7y1eKJ3Ml5g3AH1LKRU86ViXmR4u6k0q/GYeQEla91gx/twffFmPvpdNpyj58S9qz+rXm2FhZxk3+Uc5GJ9J/5kGe84jgc68DaK9sBmn45wA7V2j2JjR6lUwrJzr/tA+9QbL17ZbYWVtOS8D3Wy/zy+7Qf/d5S2lcEvXiBog4AAmRxu87uIN7Rag/nD3WLXh58RnqlynJ/JcaWVSdwPg2+frik+y5HEfH6qX4pm8t3BwfbPrU6Q3M3CAmkCsAACAASURBVBfGTztC8HS2Zd7whlQqZRkDDhXF0pk0MQshdgAP213hEynluuxjPgEaAH3kIwoUQowERgIEBATUj4iIyEl8T6XLN5MYMPMwrg7W/DGy6b9WupJS8uLc4xy9Fs/Gt1pQ0atoNLttOhPDG0tO0qeeLz90KIm4eQZsnIzLDHpW+Xu5wRl7r/LNlkvMfbEhbao+oe+2kKVn6en5ywHupGSyeUyLh28SkhxrnJaTPTUnKPwOg+ccpaKXE0tfaVKo87Bzw2CQzDlwje+2XsbVwZp+9f2o4+9KRS8n4lMyib6bypwD1zh3/R5dA735sldNPJxMv4mIohRXhfrGLIR4EXgVaCelTM3JOeqN+clORt5l8Oyj2Fpp+PrZQLoG+hCTmMbUnaEsPRbJ//WqUejzevNr6s4QJm+/wgedq/Ja6wen5MQkptHuh700q+DB7GHmHfD1KCG3kujxywHqlynJgpcao33MmuQXY+7x3MzDuDvZsmJU0yKRyC7cuMf49ec4FZmAzvDve4OHkw1f9qpJ18CitY2foliCwhz81RmYDLSSUsbl9DyVmHMmNDaZsctPExydSN0AV85GJyKBQY38+b9eNYtc35iUktHLTrPxzA2mP1+PLvfd4HV6A2OWnWbHxVvseLfVQ5vwLcVfU9se179/+WYSg+ccRSOMXRLmHsCWW+lZes7fSCQsLgUvFzt8Xe3wd3OwyEGGilIUFGZiDgVsgfjsbx2RUj5hToxKzLmRpTcwffdVlgdF0aF6KUY8U86ik9aTpGfpeW7mYYKjE6nq7UzXQB/upmayITiG28kZFj+YDYwPGO8uD2bNqet0qenNhF41/m7WllIy/1A4/9tyCRc7K5a80oTKqh9WUZ56aoERxaLdS89i9YloNp2N4Xj4XWy0GtpW9aJ33dJ0rO5d6FtW5kWW3sBv+8OYsiMEOysNHWt4ozdIIuJTOBmZQNuqXnzbtxaezpbffK0oSsFTiVkpMuKSMrC11uBioYOinuRqXDJfrD9PaGwy1loNdtYahjQt++9pR4qiPPVyk5ifvOaeohSgov5GWcHTiYUjGps7DEVRihHLngCrKIqiKE8ZszRlCyHiAFNOZPYAbpuwPEuh6lX0FNe6qXoVLapelqeMlDJHu4eYJTGbmhAiKKdt90WJqlfRU1zrpupVtKh6FW2qKVtRFEVRLIhKzIqiKIpiQYpLYp5l7gAKiKpX0VNc66bqVbSoehVhxaKPWVEURVGKi+LyxqwoiqIoxYJKzIqiKIpiQVRiVhRFURQLohKzoiiKolgQlZgVRVEUxYKoxKwoiqIoFkQlZkVRFEWxIGbZ9tHDw0OWLVvWHJdWFEVRlEJ34sSJ2zndxMIsibls2bIEBQWZ49KKoiiKUuiEEDneUVE1ZT+ElJIxy04xckEQBoNaGU1RFEUpPCoxP8S8Q+GsO32DbRduseJElLnDURRFUZ4iKjH/x8WYe0zcfIl2Vb1oXM6NrzddJC4pw9xhKYqiKE8JkyRmIcTvQohYIcQ5U5RnLmmZekYvPUUJB2sm9avF//oEkp5l4MuNF8wdmqIoivKUMNUb8zygs4nKMpvFRyMIiU1m8oDauDvZUsHTiTfaVGRD8A32Xokzd3iKoijKU8AkiVlKuQ+4Y4qyzOnQ1XjKezrSotI/I9pHtS6Pl7MtS47meECdoiiKouSZ6mPOpjdIjl+7Q+Ny7pB0E07Mh5Dt2Fpp6VzTm71X4kjN1Jk7TEVRFKWYK7TELIQYKYQIEkIExcVZXrPwxZh7eGeG837Ua/BDFdgwGpY8B1d307mGN+lZBvap5mxFURSlgBVaYpZSzpJSNpBSNvD0zNHiJ4XqSFg871qtoERqJLT9DF7eBZ5VYPkwGjnF4epgzZ/nbpo7TEVRFKWYU03Z2S6FhNBBexJN/WHQchz41Yfn/wArW6z+GEjvSrbsvBhLps5g7lAfKzQ2iWm7Q1l0JILtF25xJyXT3CEpiqIouWCSJTmFEEuB1oCHECIaGC+lnGOKsguDwSAJiFqLFXqoN+yfH7gGwKClMLcLL7stZV5GDw5dvU3rKl7mC/YRUjN1TN0Zyuz9YejuW63M382e7e+0ws5aa8boFEVRlJwySWKWUg4yRTnmcuVWIr3124n1bISXR8V//9CvAdTsh+/F9XjadGLr+ZsWl5jjkzPoPf0gUXfS6F/fj/c6VcEg4ei1eMYsO828Q+GMalXB3GEqiqIoOaCasoHIoC0EaOLQNBz+8AMajkBkJvOudzDbL9xCb2HrZ8/cF8b1u2kseaUx3/WvjZeLHd4l7OhVx5d2Vb2YtitUNWkriqIUESoxAx6Xl5CAMx4N+j78AN/64B1I14wt3E7O4HRUQuEG+BixSeksOBxO7zq+NKvg8cDPP+xSlZRMHVN3hhR+cIqiKEquPfWJWabcJjD5EKfcuoKV7cMPEgIavESJxEvUFaGcjLhbuEE+xsy9YWTpJW+1qwRSQvgB2D8ZLqyD2yFU8nRgYKMAFh2JICwu2dzh5tmNhDTWnb7OtvM3iYxPVbt+KYpSbJllP2ZLEnNuP6XRYajS9fEHBvaHbZ8xUruHdREteKVwwnus2HvpLDoSQd86pSh35XcImgt3rv77IPeKvNfpF9af1vLGklMsG9mEEvbW5gk4D5YHRTFtdygR8an/+r6znRVj2lViePNyaDXCTNHljZSSU1EJf3eLWGsF3iXsGdDAD1srNUhPUZ52T31ivnHpGKWBanWbP/5AW2eoNYB2JxbxQ0QkUtZDCPMmhOl7roIhi/GZU2DbeghoBq3eh0odISECYs7Avu8oubQbG2qPpsuJ+rw8/zgLXmqMvY3lJ4Cg8Dt8tPosNX1LMLRpWRqXcyNLb+DyzST+PH+TrzZdZMu5m0zqV4sKnk7mDveJpJQsORbJ3IPhhMYmY6URWGs1ZOkN6AyS+YfCmdgnkIZl3cwdqqIoZiSkLPwmwQYNGsigoKBCv+7DHPu2G74ZV/H9/NKTD75+An5ryzuZrzH2vc/xK+lQ8AE+QkJqJi0m/slS11nUTNoPHb+CZm89eGBaAmweB2dXEO3XjRZXn6dNlVLMGlIfK63l9mTcTcmk69T9WGs1bBz9DC521sa6aKzA1gkpJetO32D8+vPo9AZWvtaMaj4u5g77kfQGyRfrz7PwSAR1/F0Z2NCfbrV8cLYztl7svhzLp2vOcT0hjddaV+D9TlXM/uCnKIrpCCFOSCkb5ORYy70zF4LkDB2lUkO451o9Zyf41EVn504rbTAnzNzPvOJ4FJOYakzKXSY9PCkD2LtC39nQ9jP8ojextvo+dl2KZeOZmMINOBeklIxbEczt5Axm9CmHS/BcmNsNJpWDib7wXUXE3C70tg1iy+hncLKz4uX5QdxOtsx9szN0ekYvO8XCIxGMbFmeNa83Y2CjgL+TMkCbKl5se6clzzXw59c9V5m1L8yMEefPnZRMrtxK4m5KJuZ48FeUou6pbso+evEa7cQtIgMG5+wEjQZNpXa0OrOFqRHx9KrjW7ABPoLBILl1cD6vaI9Dhy+h8atPPqnFWLh7jdqnZjLCxY7lQe70rmue+J9kweEIdl6KZXrzVKqv7QjJt8CzqrEO1g5w9xpEHIblQyld5hkWdvuYnivvMWrhCRa/0tii+mmllLy34gybzsTwUZeqvPqY+eSOtlZM7BNIcqaOiVsu/T3lrag4HZXA/EPhbDoTQ6beuEKejVZDn3q+fNS1WpEa26Ao5vRUJ+bQs0dpB5Su2ijH52gqdaTk2eUkhgUBtQostsc5dOYSb2TM4Y57HdyaPuJN+b+EgG4/wt0IPo6YTq8wTyLjaxHgbr7m+IeJupPKt1su8K33TrqcnAtu5WHQMvCt9+8D9To4OR92f03ldb1Y3Ow7+u41MGHDBf73bKB5gn+I9cE3WB98g7EdKj+YlNMSIOY0XD9p3NHMvQIaj0r80KMOcUkZjFsRjLeLHY3Lu5sn+By6l57FJ2vOsSH4Bo42WgY18qdemZLEJxvfnJcHRbH7cixf9Q6kQ/VS5g5XUSzeU5uYpZQkR5wEwKp07ZyfWKENEoF//CHSMoeZZRCVdttHOIl0ZP9fQZOL3ggrGxiwAKY15Xv9TFYdb8M7nWsWXKC5JKXkg1Vn+ECziOcSNkGNZ6Hnz8aBd/+ltYKGI4zHLB1I/WPv8nO1j3nrKHQP9KFZxQfndBe2GwlpfLb2HPXLlOT1NvetKJdyG/Z8AyfmgiF7K1FrR8hKAcDOxokFdV9i0L0GvLHkFJvHPIOXs50ZavBkpyLvMnrZKW4kpPNO+8q89EzZfzXRAzzfOID3V57hlQVBfNqtGi+3KG+maBWlaHhq+5iv3ErGL/0q6TZu4Oyd8xMdPbjnVpMWmmDORBf+QiO3gtbTNHU3QQEvYeOTw77x+zm4oe35E1U1UTgdn2pRq5gtORZJ5fDFDBOboPEo6Df34Un5fg5uMGQNlGtFj2tfMdplLx+tOUt6lr5wgn4Eg0Hy3spgdAbJ5AG1jVO6pITD0+CnOhD0O9QdYoz9/Wvw8XUYFwJD10HlTtgd/ZlVGa/SJ3Mdo5ecRKe3vM1TlhyNpP+MwxgMsPzVJoxpX8mYlNMSjPPpTy+Ffd9T6+ZqNvQQ9Ktmz1ebLrLkaKS5Q1cUi/bUvjHvvhxLc004wqeWsZk3F2yqdKRu/GTmXY0o3GZGgwGxczxh0ocKz36W93KqdOa6fw9ejFzJyWODadikpelizKOYxDSObF7IT9YLkVW7ITr9L+f/LzaOxp3Alg/jnZDfOJNcgp92+vBB56oFG/RjLA+K4mBoPP97NpAy7o6gy4D1b8GZP4zT2Tp+ZdxW9H5OXsaP8q2h1Ydotn/Gx1cWsCn6EtP//IbR3eqboyoP0OkNfL35InMPhtOqsidTB9alhL0VhB80di+cXwv6fw/Eswa+B4a6NuSn9a2wtx7Ks/XKmCX+3Iq6k0rU3VTupGSSkqHD382BSl7OeDjZqJHzSoF4ahPz/ks3eEkTjY1fr1yfa1+tExz+gcyQ3dCh3pNPMBHdpc14pYWxsdSHvFQyf1ODPPr/yL3J+/DaPRYaHQGNeQdMzVy5hUn8RFapOtj2mZ37eKxsod8cxJxO/Bo3jZ77vOhRqzTVSxf+FKqUDB0/bL9C/TIlGdTIH1LvwB+DIeIgtP0UWox78kOHZ2Vj3/qhqXTePoHwoy8QHPAHtQNz0e1SAHR6A6MWnWDHxVheal6Oj7tWxSoxHFa+A2F7wNYF6g6Gql3BtSy4lIbU2xB3BaKOEHhyIXOsvyds3WKO3/2ahu0esQyumd1NyWTt6eusPXWd4OhE/EQsrTRnaKi5hI4krosUYrUaskqUxcWvGn612mBTsbXZ/46U4uGpTMxSSlKuX8BGowPvPAzg8q1PqsaZ0nH7MRjeRVMYK09JScqOb0gweFGm5dB8F2fr4snGcmPpe+1z7h2ag8szI00QZN7sOhdFv4gJYOuA7eBlYJPHAWk2jjBoCbaz2jDb8AOTt1bkp+FtTBtsDvy2P4y4pAxmDK6PyLgHC3pC3GXoOwcC++W8ICGg+RiyvOrgsfh5XNb0weD9JxrPSgUX/BNM2HCBHRdjGd+jOsObloHDP8Puicb55V0mGZOyjeO/T7IJMG6hWqk9otUHpJ9dj92GT2m4/yVuRq3Du/9kcDT/mAAwdkEsOx7FN1sukpqezutuJ5nrvhG3lFAAdI4+pNqV4h7eJKVl4nk3GJ+7O9Gc+5k0W3dsa/VF0/hV+O8udRYoLVNPyM0E0m9eRnPrLHbpcThbG3CylpTw8sfKvQJ4VDI+XCmFylT7MXcGfgK0wGwp5TemKLegxCVlUF4XBjaAdx5G8GqtiC/VjCY3jnIp5h7VfUuYPMYHXN1FiTtn+dnqVT6o5mOSIut3HcHRn5dQa89XUL8/2Jc0Sbm5kZapJ3rNeNpqwsnqvSh3/f0P4xqAZuBi/OZ2o3vY/3E5pj5VCnHhkdikdGbtC6NroDf1S9vBor4Qe8n49lupfZ7KtKvUisNtFhK4axgZsztjP2ITeBV+M/2Cw+F/z8UeXt8dlj0PV7ZAlW7Q7fuc3cC11tjV6YtjhY4snTaOvtdWkPnLYWwGzocyzQq8Do8TFpfMuBXBnIq8w4eljjPcaSU2ydehVCC0+AYqtsfKvSIuQvDXb1SGTs/ei5Ec276cwLs7aH98LtZBsxGBA4yr8Llb1narsffS2XTyKslnN1E1bhvNxBkcxePn/6e7VsS2WmdE1e4Q0CTXXX+F7W5KJuE3Ysi8FYJIuIZ18k3srcDBVouzkzOuPuURJcuCe8VH749gZvlOzEIILTAN6ABEA8eFEOullBfyW3ZBuXY7heqaCPRaO7TueXuydanZiRIxW9kXfJTqvh1NHOGDsvZM4rZ0Q1vneaxNtGJXWU8n5vu/S4Prr6Lb+T+sun9nknJzY9XaFbygW01spf541ehhmkIDmpDZZjwddn3GqjXfUeX1/zNNuTkwZUcImToD73WoCCuGQ8Qh6Dcnz0n5L61btmHMme/4LP5DbOd1QzN8i7G5u5DsD4ljwoYLtK/mxQeNbGFOB7gdAl2/h4Yv5/pmXcLZmU5v/cwb05vySco3lJnXHdFhAjR90yw3/i1nY3hv5RmqaqI47rMQj7unwa8R9JwClTo8MiZbKy1tAsvRuub7bLswjIGbjtD53nJePLsG63MrEc3eglYfgLV9IdfoH1JKDl+NZ/nBC1QIncuLmi04izSSbD24HdCX2NL1sPKtS6ZTaWJTJbeSsogIDyM+6iK28RdpEX+aJodnYHP4F/TuldE2HAF1BoFdIbyQ5EBMYhq7LsRw/fROSsXup67+DLVFOBrx+IGtOmFDpncd7Cu2RFTpYtxF0EIeOvK9JKcQoinwhZSyU/bXHwFIKSc+6hxTLskZfe0ScSHHqdtxSI7PWX48Cr/1A6hf2hbb1/bk7cIJUTClJotcRzH47W/zVkZORRyGuZ0ZnzWMgW9+ZdKlJ4+ExRPy+0hesN6NZtQBKJWHkd55dDchgaQfG+JgY4XHuGNPHoGdG1ISMqUbAQlHuTNoMz5VG5uu7EcIv51Cu8l7GdKkDF9of4fjs6HbD8bEZQLBUQm8PX0lGx2/wtHBAYZvgZIFP4DqZmI6Xafux9PJljXPOuCwfABIA/SfD+Vb5avsqDupvPDLdv5P/Eor/WHj9Lde0/PenZFLWXoDk/68xJz9V/nK7U8GpS9D2LpAp/9B7YG5vlGnZ+n5aWcIq/ed5DO75XQ37IaSZaH7j1ChbcFU4jHO30jku01nKBf+B6Ot11GSeyRX6IpT81FQ9pkn9oknpGay8UwMm4JC8I3ZxlDrndQiFIOtC5rGo6DJa8aZEYUsU2dg6/mb7DpwgGoxa+mpPYS3uItOWBNbohbpfs3QeNfEyqMCWld/EjLgTmomMbG3iYsOIeXmVVzvnqWB5hKBmnC0GMhy9MGqZm9EnefBx/RrVORmSU5TJOZ+QGcp5cvZXw8BGksp3/zPcSOBkQABAQH1IyIi8nXdvxz5bQwNohegez8cO8ecPcF9u+Uirxxpj2u9vmh6Tc3ztW9PDOR8mhuNP9uFnXUBDvpYMZzkC1sZVnI+q0Z3MGnRUkoG/bSZWQkjcS5XDzF0faE9NZ6cM5p6UfOJ6rkc/3qdTF5+7K3rGKY/g5WtAx5jj5g28T/Eh6vOsPrUdU50Csd554fQfIxxZTYTGrcimEunD7HOaSJaBzd46c/8N/8/ht4geWH2EYKjEtne1wq/zS8auzyGrjVZM21Q+B2e/+0IX7jvYNC9340zJQYugRJ+Jin/UWLvpfPmklNEhoew1ON3yiWfgpr9jH3ljvmbbXE2OpH3VgZTMvYIPznOxysrGmo9Z0z4hdCffj0hjcl/XkCeXcFY65X4EoehbEs0Hb4wvhnmQXBUArP2hRF9/iCvW62nk+YYBmtHNI1HGls6CqFe0XdTWXo0nKhjG+mbtYFW2jPohZa0gLY4NnweUblzjh/q4pIy2HbhJnuDQ3GO3EFncZRW2mBs0JHpWRObBsOg0Ssmux9a5FrZUspZUsoGUsoGnp6eJitXU7Y5VsLAjbN7c3xOfOwN3EQymnz206UHtKShuEjQ1QJcdzo5FnlxA8uzWtCjvukHlAghGNCyNpOy+iOu7YOL601+jYfJig6mVtRC9jh2LpCkDOBVypcNFSdQMuM6qWvfLpBr/OVGQhqrTkbzUdVYnHd9ApU7Q7vxJr/Oh12qEmldnvHOE5DJsbCgN6TEm/w6f5m2O5QjYXeY1SQev40vgIuP8WHAhH2nDcq6MbFPLT6ObcfP3l8h46/CrDYQdcxk1/ivo2HxdJ16AK/rO9jn/CnlMq5A7xnGdeXzmZQBAv1KsP7NZ2jS9lnapH7NbNEXw7nV8EsDOLXIOKe9ACSmZTFx8wUm/DCZVy6+yGTrX/Eu5Q2DV6MZtj7PSRmgtr8r016ox9SxL3Gg3o/01E9iU3oghgNT0P9YE7n1E0i6ZcLaGOkNkt2XYnnj97389v2H9D3Uh6mGr2niGIOh9cdox17GafhKRM0+uWpp8XS25YXGZZg1sh2ffDSBOz3n8WbppYzPGsblW8lc2rUQc63yYIrEfB3wv+9rv+zvFYpSNVqhkxrSQvbl+BwZd8X4ST776Dxrd8ZBZBBxek++ynmskwsQhixW0KHA1k3uXqs0O+27cE1bzvjHlZVWINf5m0FP8srXuSud0HYq2P7fzt36Mc3QF4eLK40LXhSQ3/aHESBvMizqc/CoDH1+K5CpMx5OtrzfuSqLor042PAXuBMGi/pA+j2TX+toWDxTdlxhQvlLPHNitHG98uFboITpfw/71vdjQs8aTA4vx1iXHzBYO8K8bnB6icmvtfbUdUbM2c+nYja/aL/HxqMsjNpv7Dc1YWuRjZWGMe0rseqttqx2HU7HtK+5Jvxg3Rswr7uxj95EMnUGfj9wjTGTZtDuyHBmaSdR0VUDfeegfXUfVGxnsrqVcXfk/3rXZO4HLxLa8mf6icmsy6iP4fB09D8GIje/D4n5TwG3kzOYvieUQd8u5eqi0XwbOZAJ1vPx8/GGPrOxHXcBTesPwCn/L3pujjY81zCAWSM7MvK9b9nXZhXb6vxktnnqphiVfRyoJIQohzEhDwSeN0G5OeLv7cU5ylPi5tEcHS+lxPFeqPGRxCN/idm2Yiv0aNCG7wVyuBFGbhj0GILmckzWILBOQ0o62pj+GhhvIB90q8mHywfzh/7/4OBUaP1BgVwLQB6dQcmEc3xpP45Paxbs1B9/NwcSG77NkaDzNNr4Lhq/BsYpICZ0OzmDDccuscnpRzQaDQxaCnYFNxJ8UKMAVpyI5u1jqezt/TuOa4bBkudg8CqT9c3eTclkzLLTvOZ8gKE3fkWUaWYcWV6A9RrWrCyuDtaMXR7MDa+vWej7K9ZrX4ObZ6H9BOOSsvkgpWTmvjA2/PknWxxn4p8VYWyCbTc+32U/TlVvF9a+0ZypO71ov6c0w+0P8P71JVj/2gzRaKRxc5Y89tOmZupYdSKa7Xv3MiRlPvO0J8hy9IS2P2BVbxhoC27jEHcnW97pUJlRrSqw4kRbBu89wLPJy+l77DfE8dlkVeyMbZNXoFyrHC8dnKHTcyg0nk0nw9Bf2ERPsZdR2jNgrUVW6wlNX8fGv2GB1QnA19WeN9qYd7pbvhOzlFInhHgT2IpxutTvUsrz+Y4shzQawTWnOnRNWQuZqU+8McUlZeBvuE6WlR3WLvnsw7Jz4ZZLIFUTgohLysDT2cRD70O2o7kXzYKsPrzRrKxpy/6PXnVKsyG4FZvDttN5/2Q0dQYZ556aWkIkhp1fsVdfh3KthhTKHPA32lWh/4kxrDW8j/OKF2HEtgfn2ubDvAOhfMdPeOluwKC14FbOZGU/jFYj+Lp3TXr+coAJl/2Z1GcWrBxhnJr1/LJ8j5Y17oh1mufSlvKOdgVU6gQD5hfKyOJedXxxsbfm1YUn6CvGsqJ+NWyPTDcu8dl3Tp5budIy9fzf+mDcTk1nve1qNHae0HsVVMzfaPmcsrHSMK5TFTrWKMUX691oFlmbiSVW0f7wNDi1ENF8DNQfnuMEfeteOgsOh3P+yDYG6dYxT3sCg50j8plPsW76ukl/v5/E3kbL0KZleb5RAH+eb8uruw/TIG4NA67sxjZkEynW7tz1a4NV1c44lKmHs1dZhEaLwSBJzdITGpvM2YhYokLPIq8doL7hLF9oz+FklUaWU2k0dcca18V/iuZT53vwV16YclQ2wKIFsxgc9h6GIevQVGj92GOPXbtD2u+9qOehx3nMoXxf++b6L/A6MYU/ux2ka6Ma+S7vfnJRf+JDj/OW90KWjmph0rIf5mZiOkMmr2KjeAeb6l0QA+ab9gJSwpIBpIfuo7eczOqPn8PBpnDWuJm2O5Rj25czz2YSokZv4zrcJmimSs7QsXriUIayCbpPgQbDTRBtzny39RLTdl/l276BPGd/HFaPhFI1YPCafPWTztt3BcdtY+lvtQ9qDYRevxTom9fD7L4Uy8iFQVQvXYJlLW5jv+VtYxdL20+g0chczT8NuZXE7AW/82LSb1TTRCFr9kN0/c4so4nB+OCzPvgG3229jGPCZT63W05zeRKDxgZZ41m0tQcYp2r9p3UiPUvPiYi77D98EKsrm+gkjhKoCUdn64q20cuIpm+YrU7/dflmEltOXyP59FrqpBykpSYYF2HsIkuVtsTgTpbUYkCDq0jCm7t/T29Kc/DFpko7tLX6Q5lncrdRjwUr1FHZeWHqxLz60Hl6bW1OUqO3ce32xWOPXX48imYbW+NatSVOg+bm+9r6iCNo53Zivt+XDHt5TL7L+1tCFHJKID/relHpuW/oEmiaRUWe5I/jkUSvncBY65UwbAOUM+E62udWwcqX+DJrCK5txzC6XeGtYJWWqaf197t5p9NHdwAAFKlJREFU3Xojw1LmQrvPjU2I+XR00Xgah04hrvpwPAdMMUGkOac3SIb9foxj4XdYOaoptVKPwfIhxpaO5xY9uBZ3Dpy6cJm0ZcNppjmPbPUhovWHZpvbue38TV5ffJKqPs783N2Hcoc+hpCtxvq1/cw4teoxDwzpmVls2bSKkqdn0FqcIt3RD7tuE6F6z0KsxaPpDZJdl2JZcDic2NCTPK/dSV/tAZxEGgY0xNpXINHai2RpQ2qWxDH1OmVFDG4iGYCMUnWxrfc81H2hUN+QcyslQ0fozbvcDTmC9vZl7BNDcUi/ibWQ2GgMWDmUxKV0JZx8KiH8G0HJchYzn9iUnrrEfDY6EWa1pLSXJ+5v7njssT9uOsk7x9ugb/0J2tbv5//ieh1pXwewTTSj56crTDdYYO8k2P01fW1+5Y8PBmJlokVFnkRKyeAZe5h0ayTenh5oR+03brGYX6l3YFojwnVu9M6YwL4P2+NiV7hvYcuPR/H+qmAOVFyCX/RmGLgYqnbLc3m6k4uwWv8GB+1a0fz9tWZ5sr+TkkmPnw8AsP7N5rjfDjIm56w06Pod1Hkhxze52GMrsd78Ng5koOs6GcdGOV8boKDsvHiLsSuCScvU816nKrzkE4Fmx2fGfmf7ksb/v0odwcUXHD0hM4XMWxe5evYILiHr8OUWqRpHDM3fxanlm2Btmdtn3k3J5Oi1O5wIiUZcP4Zv4mkqZl7ETSThKDKw1RhIc/DF2qsS7hXqYVeje4EMwlMKzlOXmNOz9Cz+cjDDrHZg9XHUY//4Js5ZykdRo4z7ElfP/QYWDxM+YwCOMYdJe/M8AZ4mGBxjMJA1pQ7H7jpxuu2CQh+IEByVwPRff2SmzRTjyk6NXslfgVLCimHIi5volv4lHdt14O32hbdq1V8MBknPaQdITkpip/sktLHnYcBCqNI594WdX4Nh5QgO6Kqje24pbWv6P/mcAhIclUD/mYepUsqZJa80xjnzNqx+BcL3Q9Xu0PI9KF3n0QXcPEvmnu+xubSWC5TD5fl5+FV+zPGFLDYpnY9WnWXnpVj8StrTq7Y3A0tcxCtqMzahWxGZSQ+cY5CCs9aBODZ5kYotBxXagiWK8ii5SczFYhMLO2stUS51sUrZDNdPQNnmjzxWG589RcEj9818j2Jbuy+eN7ey+/ifBHQdkP8CIw5ifS+CFfrXGVen8Ac81PZ3xbFWbw5d2EHjnV+hrdYTnEvlvcDTi+HCOta6vUzUnYoMb16wg6MeRaMRfN69BgNmHmZm3e95XYwz7vo0YH7O35ylhEM/I7d/ziVtVb4t8QkbqhfsQhhPUtvflV9fqMerC08wYn4Q84c3wn7oOjg4BQ5MgUsboXwbYx09KhsX7kiMMu74dHkzhO3GIOz4Rd+HhkP/R/VKhdNtklNeznbMHtaALedusvRYJL/uvcY0aQf0wYYeVBWRuIt7eIhEtNZ2+FSoTaOGjWhc2b9wNphRFBMrFokZQOfbBK5g3FrvEYlZSolLShgGoUXjVt5k1/au34PUrXbYXFkPpkjMpxeTggM3fdvjV9I8T/rjOlfl5fPDWZv5MZrVLyOGrM3bvNz4q7D5fRJLNWFsRGvebFeOEvaF24R9v0bl3OhWy4eph27x7BvL8NnwAiwfCu2/gMavPb7ZPisdtn4EQb9zO6Arz14ZwJeda1jEzb9dtVJMfq4OY5adYtSiE0x/oR6OLcYalwMN+h2OzICw3Q+cp3P0Zq7NEGamtGL8gOY0trCk/BchBF0Dfega6ENsUjp7L8eRmqknS2/ASlMbfzcHyrg7EODmiI1V8RgspDy9ik1iLuvvx8VLAVQI3YtNq4f3HcclZxBguE6Ssx8lTDhvUdg4cMG5OTUS9iD1WYj8jGBNv4fh/BrW6prTsbbpHh5yq7SrPe1btODTvUOZdO03dsz6APeun1A3IBc7UGWlwaqX0Qkr+sQMoaynMyOeMc/b8v0+6lKVHRduMX5bNDOHrEasGQXbPjUOTusx9cF1cg16OPMH7Poa7kWjazaGwefaUNLFQO+6ltPP17N2aVIzdHy85iy9ph1k+gv1qFyqBDzzDjR/G5Ji4PYVSIyGEn4cSfLkzfXXyTLAzBH1aVI+/yteFQYvZzv6NzBf14GiFLRik5ir+7iwzxBIlevbICMZbJ0eOCb8dioVxXWySlYz+fVTK/XA9eRObgRvp3S9rnkv6PwaNLp0VhpaMaOWed9eRrerxJqSozm6N4w2MbN5foY3Xbv3Y1hO5lTrdbByBPLGKcbKsRhc/Fj2ShOzvi3/xa+kA+M6VuHrzRdZftaL5wYugfNrYMv7MLOFcdOBsi3AwR3iQyHmDCRGgk8d6D2N7y97czn2KnOHN8TWqgDXSM+DgY0CCHBzYPSyU/T65SAjW5angpcTpUvY4ergjKN7Y+Jt6/Ld1svsvRJOOQ9HZg9rQAXPB/9eFEUxj2KTmKv5uPCzoQ6vGjYZB71U6fLAMRFxidQRN0nzftbk1y/TqCfJJz4k9eRyyEdilqcWEqHxxyagIaVczDuC1EqroX/DAKg1H8OMVsxOnMrADXaExbXms+7VHz1SXErY+DZc3sQ3cjinHJ/hj1cam70+9xvxTDn2XIllwoYLNCrnTrmafaB8awheZlzM4uJ644I1buWNb9AdJkD13pyISmTWvkMMbOhPmype5q7GQzWr6MHm0S14+4/T/LTz4cs+uthZ8UnXagxtVsbiHi4U5WlXbBJzSUcbbjjVIiPLDtuQ7Q9NzInXr2Aj9Gh9Tb+1YUApN7ZqG9Hixg7QZ+VtQYab5xDRx1mQNYTuBbQudp7YOqMZvAKnBT1ZzdcMO5pGywu3aF+9FO2rlaJxebd/bu5Z6chtnyJOLWSqrjcHS/Vl2ZAG+JQw3360D6PRCL7vX5vOU/bz9h+nWTmqKdYObtD0deOHwWDc2vC+PueUDB3jVgTjU8KeT7qZvtXFlLxc7FjyShOS0rOISUznRkIaiWlZpGbq0Rsk3QJ9CmyJV0VR8qfYJGaA+hW8OXyxBq1CtiOkfGD+5p0I40qh2nzuKvUwQgiiS3fGMXof8uouROU87Jh0Yi46YcMaQwu21yy4rfzyxL0CYsR2bBc+y+L4SaxyfInvgxqx4HAEjjZaWlXxpK1TJC3Of06pzEhm67oQWesdVj4bWLBbYuaDTwl7JvYJ5PXFJxmz7BQ/PlfnnwcMjYb793i5nZzBS/OOExGfwqIRjXEu5DnYeeVsZ42znTWVSxXslpeKophOsRq+2KN2aXZk1UIkRhpHA98nJjENGXfZ+IWJNzH4i2tgZ25LF1IO/pb7kzNT0J/+g036xtSpXA4PJxOvu20KLqVh+Ba0ZZoy4M4Mjtq+wZHKS1hW8lfGhIzg2ZPDkZmp/FhqIiWf/Z7v+te22KT8l66BPnzarRqbz97k5flBpGbqHjgmIj6Ffr8e4sqtJGYNaUCzigW/76yiKE+vYvXG3LyiB99Z1wfmQuh28PhnYY5NZ2II1IShcyqNVQHtkNOksg+LN7RjdMRa43Z8uZiSFX9kCe5ZSfxp14Vv+9V68gnm4uAGw9ZDTDAi6He8L6zH28ENWbESmV598G45hnfyuYlCYXu5RXlc7Kz5cPUZevx8gHIejmiEICldR3RCKjcS0nGxs2LJK02ol5tR6YqiKHlQrBKzjZWGWoG1uXbGh4Ar29E2ee3vn207fZWF2mCsqg0tsOv7lXTghGdv9HfXY3XsN+g8MUfnxSdnELdnBnfxZ9zLQ/FytpxBUo/kUxt6/GT8AARgge/4OTagoT8lHKyZsfcqMYnp6A0SBxst9QJK0qu2A/3q+1HWw3LXI1YUpfjIV2IWQvQHvgCqAY2klKZbZzOPetQuze5TtRkWvts4j9banvDbKXjH7MHWJgNq9inQ6zerE8jGHY3peXIhmjYfg+2T+/aWrtvAm4ZQIhtPIMBL9QWaS6ca3nSqYWF9+4qiPHXy28d8DugD7DNBLCbRpLw7p2waoDVkGKe9ABvP3KCH9jB6Jx/wb1Kg1+8W6MM8XWc0mUnGqTdPkJCaSdnLc8jQ2BPQ+sUCjU1RFEWxfPlKzFLKi1LKy6YKxhS0GoFnYFtuyxLod30NBj27T4fQRhuMNrBvge8A5O/mAH4NuKStAkdnGKfdPMb23TvprjlEUu0RYO9aoLEpiqIolq9Yjcr+S5e65fgyawjamFMs+Oljysfvxgod1CjYZuy/dK/lwy9pHY2rRp1e/MjjdHoDPid+IFk44dFxXKHEpiiKoli2JyZmIcQOIcS5h3zkas9EIcRIIUSQECIoLi4u7xHnQP2Akvi2GMwZ+0b0T5zHSPtd6EuUAd96BXrdv3Sr5cMmQ2NuuNSGHeONexE/xPH9f/KM4Tg3aow07i2rKIqiPPWemJillO2llDUf8rEuNxeSUs6SUjaQUjbw9PTMe8Q5oNEIPuhSjVojZ2NvraGSLtTYjJ3DDePzy6eEPQ3KujPB8BKkJcDOLx88SEqcD03kDiWo0H1socSlKIqiWL5i2ZT9t5JloN14EBoI7F+ol+5Zx5ettz054tkPeWIeRJ/454dScn3teGpmnuFSpZFo7dQGAoqiKIpRvhKzEOJZIUQ00BTYJITYapqwTKjJKHj3EpQy/frYjzOooT/Dm5fl5cgOJGhKov9jMBz7DTKS0K17C9/gn9iobUutPqpvWVEURfmHkFIW+kUbNGggg4LMPuW5UKw8Ec0fa1bzhfVCasgroLUBfSY/63pTe8h3tLTQHYoURVEU0xFCnJBSNsjJscVq5S9L1K++HxW9hjJiQXUqpJ9jvOdB5saUIav2EN5SSVlRFEX5D5WYC0Edf1fWj36G1xY50DGiEp7OtuzoVrhN64qiKErRoBJzIfFytmPJK42ZtTeMphXcKeFQNLYNVBRFUQqXSsyFyNZKy1vtCmbLSUVRFKV4KN7TpRRFURSliDHLqGwhRBwQYcIiPYDbJizPUqh6FT3FtW6qXkWLqpflKSOlzNHqWmZJzKYmhAjK6TD0okTVq+gprnVT9SpaVL2KNtWUrSiKoigWRCVmRVEURbEgxSUxzzJ3AAVE1avoKa51U/UqWlS9irBi0cesKIqiKMVFcXljVhRFUZRiocgnZiFEZyHEZSFEqBDiQ3PHYwpCCH8hxG4hxAUhxHkhxBhzx2RKQgitEOKUEGKjuWMxFSGEqxBipRDikhDiohCiqbljMgUhxDvZv4PnhBBLhRB25o4pr4QQvwshYoUQ5+77npsQYrsQIiT735LmjDEvHlGv77J/F88IIdYIIVzNGWNePKxe9/1srBBCCiE8zBFbQSvSiVkIoQWmAV2A6sAgIURxWIRaB4yVUlYHmgBvFJN6/WUMcNHcQZjYT8CfUsqqQG2KQf2EEL7AaKCBlLImoAUGmjeqfJkHdP7P9z4EdkopKwE7s78uaubxYL22AzWllLWAK8BHhR2UCczjwXohhPAHOgKRhR1QYSnSiRloBIRKKcOklJnAMqCXmWPKNylljJTyZPbnSRhv8r7mjco0hBB+QDdgtrljMRUhRAmgJTAHQEqZKaVMMG9UJmMF2AshrAAH4IaZ48kzKeU+4M5/vt0LmJ/9+Xygd6EGZQIPq5eUcpuUUpf95RHAr9ADy6dH/H8B/Ai8DxTbAVJFPTH7AlH3fR1NMUlgfxFClAXqAkfNG4nJTMH4R2UwdyAmVA6IA+ZmN9HPFkI4mjuo/JJSXge+x/hmEgMkSim3mTcqkyslpYzJ/vwmUMqcwRSQl4At5g7CFIQQvYDrUspgc8dSkIp6Yi7WhBBOwCrgbSnlPXPHk19CiO5ArJTyhLljMTEroB7wq5SyLpBC0WwS/Zfs/tZeGB88SgOOQojB5o2q4EjjFJVi9RYmhPgEY9fYYnPHkl9CCAfgY+Bzc8dS0Ip6Yr4O+N/3tV/294o8IYQ1xqS8WEq52tzxmEhzoKcQIhxjt0NbIcQi84ZkEtFAtJTyr1aNlRgTdVHXHrgmpYyTUmYBq4FmZo7J1G4JIXwAsv+NNXM8JiOEeBHoDrwgi8e82AoYHxKDs+8hfsBJIYS3WaMqAEU9MR8HKgkhygkhbDAOTFlv5pjyTQghMPZXXpRSTjZ3PKYipfxISuknpSyL8f9ql5SyyL+BSSlvAlFCiCrZ32oHXDBjSKYSCTQRQjhk/062oxgMavuP9cCw7M+HAevMGIvJCCE6Y+wy6imlTDV3PKYgpTwrpfSSUpbNvodEA/Wy//6KlSKdmLMHN7wJbMV4w1gupTxv3qhMojkwBOMb5ensj67mDkp5rLeAxUKIM0Ad4H9mjiffslsAVgIngbMY7xdFduUlIcRS4DBQRQgRLYQYAXwDdBBChGBsIfjGnDHmxSPq9QvgDGzPvn/MMGuQefCIej0V1MpfiqIoimJBivQbs6IoiqIUNyoxK4qiKIoFUYlZURRFUSyISsyKoiiKYkFUYlYURVEUC6ISs6IUE0KIACFEcvbmLoqiFFEqMStKESaECBdCtAeQUkZKKZ2klHpzx6UoSt6pxKwoiqIoFkQlZkUpooQQC4EAYEN2E/b72ZvHW2X/fI8Q4ishxKHsn28QQrgLIRYLIe4JIY5n7172V3lVhRDbhRB3hBCXhRADzFMzRXm6qcSsKEWUlHIIxvWse0gpnYDlDzlsIMblXX0xbgJwGJgLuGFcxnY8QPY2lduBJYBX9nnThRDVC7gaiqL8h0rMilK8zZVSXpVSJmLck/eqlHJH9jrzKzDu9Q3GXYjCpZRzpZQ6KeUpjLub9TdP2Iry9LIydwCKohSoW/d9nvaQr52yPy8DNBZCJNz3cytgYcGGpyjKf6nErChFm6l2oYkC9kopO5ioPEVR8kg1ZStK0XYLKG+CcjYClYUQQ4QQ1tkfDYUQ1UxQtqIouaASs6IUbROBT7OboPvltRApZRLQEeOgrxvATeBbwNYUQSqKknNqP2ZFURRFsSDqjVlRFEVRLIhKzIqiKIpiQVRiVhRFURQLohKzoiiKolgQlZgVRVEUxYKoxKwoiqIoFkQlZkVRFEWxICoxK4qiKIoFUYlZURRFUSzI/wMvQro3lHpY8AAAAABJRU5ErkJggg==\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plot_expectation_values([result, result_ref]);" ] }, { "cell_type": "code", "execution_count": 39, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 39, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "for m in result.measurement:\n", " plt.plot(times, m[:, 0, 0].real, 'r', alpha=0.025)\n", " plt.plot(times, m[:, 0, 1].real, 'b', alpha=0.025)\n", " \n", "plt.plot(times, result_ref.expect[1], 'k', lw=2)\n", "plt.plot(times, result_ref.expect[2], 'k', lw=2)\n", "\n", "plt.plot(times, np.array(result.measurement).mean(axis=0)[:,0,0].real/np.sqrt(gamma), 'r', lw=2)\n", "plt.plot(times, np.array(result.measurement).mean(axis=0)[:,0,1].real/np.sqrt(gamma), 'b', lw=2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Solve problem again, this time with a specified noise (from previous run)" ] }, { "cell_type": "code", "execution_count": 40, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "10.0%. Run time: 101.94s. Est. time left: 00:00:15:17\n", "20.0%. Run time: 211.18s. Est. time left: 00:00:14:04\n", "30.0%. Run time: 328.08s. Est. time left: 00:00:12:45\n", "40.0%. Run time: 429.03s. Est. time left: 00:00:10:43\n", "50.0%. Run time: 536.44s. Est. time left: 00:00:08:56\n", "60.0%. Run time: 636.26s. Est. time left: 00:00:07:04\n", "70.0%. Run time: 742.40s. Est. time left: 00:00:05:18\n", "80.0%. Run time: 834.82s. Est. time left: 00:00:03:28\n", "90.0%. Run time: 889.97s. Est. time left: 00:00:01:38\n", "Total run time: 937.45s\n" ] } ], "source": [ "result = ssesolve(H, psi0, times, sc_ops, e_ops, ntraj=ntraj, nsubsteps=nsubsteps,\n", " method='heterodyne', store_measurement=True, noise=result.noise)" ] }, { "cell_type": "code", "execution_count": 41, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "for m in result.measurement:\n", " plt.plot(times, m[:, 0, 0].real, 'r', alpha=0.025)\n", " plt.plot(times, m[:, 0, 1].real, 'b', alpha=0.025)\n", " \n", "plt.plot(times, result_ref.expect[1], 'k', lw=2);\n", "plt.plot(times, result_ref.expect[2], 'k', lw=2);\n", "\n", "plt.plot(times, np.array(result.measurement).mean(axis=0)[:,0,0].real/np.sqrt(gamma), 'r', lw=2);\n", "plt.plot(times, np.array(result.measurement).mean(axis=0)[:,0,1].real/np.sqrt(gamma), 'b', lw=2);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Software version" ] }, { "cell_type": "code", "execution_count": 43, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
SoftwareVersion
QuTiP4.4.0.dev0+76c6ebda
Numpy1.16.0
SciPy1.2.0
matplotlib3.0.2
Cython0.29.3
Number of CPUs1
BLAS InfoOPENBLAS
IPython7.2.0
Python3.6.7 (default, Oct 22 2018, 11:32:17) \n", "[GCC 8.2.0]
OSposix [linux]
Wed Jan 30 13:45:08 2019 JST
" ], "text/plain": [ "" ] }, "execution_count": 43, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from qutip.ipynbtools import version_table\n", "\n", "version_table()" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.7" } }, "nbformat": 4, "nbformat_minor": 1 }