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@andyfaff
Created September 4, 2015 09:15
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emcee in lmfit
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"from __future__ import print_function\n",
"\n",
"import emcee\n",
"import triangle\n",
"import numpy as np\n",
"import scipy.optimize as op\n",
"\n",
"import matplotlib.pyplot as pl\n",
"from matplotlib.ticker import MaxNLocator\n",
"%matplotlib inline\n",
"\n",
"from lmfit import Minimizer, Parameters, Parameter"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"# Reproducible results!\n",
"np.random.seed(123)\n",
"\n",
"# Choose the \"true\" parameters.\n",
"m_true = -0.9594\n",
"b_true = 4.294\n",
"f_true = 0.534"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"# define a line model\n",
"def line(x, m, b):\n",
" return m * x + b"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"# Generate some synthetic data from the model.\n",
"N = 50\n",
"x = np.sort(10 * np.random.rand(N))\n",
"yerr = 0.1 + 0.5 * np.random.rand(N)\n",
"y = line(x, m_true, b_true)\n",
"y += np.abs(f_true * y) * np.random.randn(N)\n",
"y += yerr * np.random.randn(N)"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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Hy6FcIn8JupASQuwEsA9ABIBfSCl/NO/rDKkw5mkjvpKl+UIIDA8P4+jRozAMAydPnsRb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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x109000940>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Plot the dataset and the true model.\n",
"xl = np.array([0, 10])\n",
"pl.errorbar(x, y, yerr=yerr, fmt=\".k\")\n",
"pl.plot(xl, line(xl, m_true, b_true), \"k\", lw=3, alpha=0.6)\n",
"pl.ylim(-9, 9)\n",
"pl.xlabel(\"$x$\")\n",
"pl.ylabel(\"$y$\")\n",
"pl.tight_layout()"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Least-squares results:\n",
" m = -1.1040757010910947 ± 0.01622989255232981 (truth: -0.9594)\n",
" b = 5.4405552502319505 ± 0.09090827914304528 (truth: 4.294)\n",
"\n"
]
}
],
"source": [
"# Do the least-squares fit and compute the uncertainties.\n",
"A = np.vstack((np.ones_like(x), x)).T\n",
"C = np.diag(yerr * yerr)\n",
"cov = np.linalg.inv(np.dot(A.T, np.linalg.solve(C, A)))\n",
"b_ls, m_ls = np.dot(cov, np.dot(A.T, np.linalg.solve(C, y)))\n",
"print(\"\"\"Least-squares results:\n",
" m = {0} ± {1} (truth: {2})\n",
" b = {3} ± {4} (truth: {5})\n",
"\"\"\".format(m_ls, np.sqrt(cov[1, 1]), m_true, b_ls, np.sqrt(cov[0, 0]), b_true))\n"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x1095d2080>]"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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J/vznPwOwbds2z5j4ddddxw9/+EOeeeYZ8vLyqKqqavbamJgYZs6c6anBHhMT\nw4cffsiYMWPaXIzUkqZBvnHjRlasWKEgD6Fwhnk2sNZau6bJ4wpz6ZLa2zMN9hCM9/68F/U899xz\n7Nu3D7fbTUFBgc9jxsXFkZyczPbt23nhhRe44ooryMjI4Oqrr+7wlZECuUiIdFzQw9wYswEY4eOp\n/2Gtza7f5lFgnrW22WVXjDG24bJfoJ9oEn2CGeZNV2TecMMNPqdFnjhxgk2bNuFyuTh48KDPffXt\n25fKyko++OADzpw5w7333svDDz/c6OpJ7aEwDw3vzgPAY489FtqeuTHmDuAe4MvW2nM+nlfPXKJa\nMMO86Zz206dPtzkt8ujRo54Tp8eOHWv2fEPbTp06xVNPPeWp094eDV8uAIsWLWLdunWajx4ioT4B\nuhj4FTDfWnu8hW0U5hK1gl3bJDExkUOHDjFw4EC2b9/OwIED2z0t0lrLvn37cLlcbNq0qcUa7BMn\nTsTpdJKcnEy/fv1a3af3lwtoyX8ohTrMdwO9gbL6h/5prb2vyTYKc4lawa5tcsUVV/Dhhx822l9H\nev41NTXk5+fjcrnYtm1bizXYk5KS+OSTT6iqquL+++9n3rx5jbZpWDAFMHfuXN599131zENEi4ZE\nQijYq0N97S/QYZzz58/z/PPPk52dTWlpKcXFxYwcORKouyTeoEGD2LNnD4WFhYwaNYoHH3yQm2++\nmfj4eM+CKUBL/kNMYS4SQsFaHepdS/2JJ55g+fLlrdZS76g77riD3/3ud0ydOpVLL72UPn36eJ6r\nra2lqKiIwsJCSkpKuO222xgxYgQbN27U1MQwUJiLhFhnTk0M9v69h4Wuv/567r33XlwuF0ePHm20\n3dmzZ4mPj+fiiy/G4XBw/fXXR+VslkheGKUwFwmxYIRt01AZN24c+/fv9/wdaMg07H/16tXs2bOH\nhIQEbr/9dhYvXsz8+fMpKiryzIipqKho9vqsrCx+9rOfMXbsWGbPns0ll1wSwLuNPJF4kQ6FuUgI\nRHKPrjUnTpwgPT2drKwsn4FVW1tLYWEhLpeL7Oxsz+Xwjhw5wsiRIykrK+Pw4cNMmTKFu+66i3vv\nvZe+ffuG+m0EXSRepENhLiJBUVVVxY4dO3C5XHzyySdUV1d7Ht+7dy+7du3i/PnzLFq0iIceeojL\nLrvM7wVJkaIzr7HaUQpzEQmahl8gVVVVvPnmmwwbNozPPvuMhIQEEhISOHbsGLt27cLhcDB06FCS\nk5NxOBw67iDnAAAMwklEQVRMmjSp2cWrI1FrF/EO9y8shbmIdIqGcwPl5eWe8fVDhw753HbIkCE4\nHA6cTicJCQkhbml0UJiLSKfwdaK3uLgYl8uF2+2mrKys0XOHDx9m7969pKWlccMNN+BwODxz1qVt\nCnMR6RStzdqx1rJnzx5PDfYzZ85QWVlJQUEB+fn5xMXFkZSUxNVXX80VV1xBcnJyp9Rg99ZVT1I3\nUJiLSKdo7xTM6upqdu7cidvtZvv27Zw/f56ioiLy8/MpKSlh8eLFJCQkeGqwz5o1i5iYmIhoeyRR\nmItIp+hIIJ47d45t27bhcrkoKCigoqKCuLi4RrNe4uLimDt3Lg6Hg6lTp3a47nprFOZBoDAX6foa\nFtU4HA4WLFhAbGys30MXJ0+e9NRg379/f6PnqqurqaysZPTo0aSmpuJwOBgzZkzQZsQozINAYS7S\n9flaVBNIQJaUlHhmxJSWlnLs2DHefPNNhg8fTlJSEqNHjyYhIQGHw4HD4WDYsGEBtV9hHgQKc5Gu\nrzOqOULdidMDBw7gcrn45z//ydatW8nPz+fcuXNMmzaNadOmERcXx4QJE3A4HKSkpNC/f3+/jhGJ\nS/XbQ2EuIkHnqzpksHu7tbW15Ofn43a7eeutt9i2bRvjx49nzJgxnm169OhBUlISTqeT2bNnN6r6\n2JJIXKrfHgpzEekUnVnNsakLFy6wfft23G43O3fupKamptk2vXv3Zs6cOTidTqZPn07Pnj197isS\nl+q3R8jD3BjzMPALYKi1tszH8wpzkSjgHd6hHLo4ffo0mzdvxu12s2fPHs6dO4fb7Wb69OmesfR+\n/fqRkpKCw+FgwoQJjU6cBqvmfKiF+rJxicAqYCqQrDAXiV7eYR6uoYvPPvuM9957j6effhqXy0Vc\nXBzTp09n0qRJnumOQ4cO9Zw4bbiikk6Atn2wdcBPgf+HwlwkKjWspHzssceYP38+aWlpnrro4Rq6\naDhxumrVKl599VUOHTrEF77wBSZPntxouzFjxuBwOLjqqqsU5q0c6GtAmrX2IWPMPhTmIlGtYejC\nWhtRQxe1tbXk5OSwdetWioqKqKysBOrqxhQXFwN19dhnzpzJqFGjWLp0KVdffXU4m9wu/oZ5q8WH\njTEbgBE+nnoUeAS4ynvzlvazcuVKz+2uUhdBRBrXN5k/fz4bN25k5cqVnv/D4Q5yqJvhsnDhQhYu\nXEh1dTU7duzA7XYTExNDQkIClZWVpKSkeLbPzs5m//79OBwOZs6cGTE12L0/647oUM/cGDMDeAc4\nW//QaOAw4LDWljbZVj1zkSjQ9KTn4MGDI3ro4uzZs3z44Yd84xvfYMiQIZ7FSN7lAuLj45k3bx5O\np5PJkydHVA32sExN1DCLSPRretJz3bp1ER3mDc6ePcsLL7zAU089RUlJCZMnT2bq1KnNqjYOHjyY\n1NRUnE4no0aNCnuwhyvM/wWkKMxFolfDfO2Gi0F//PHHXa6s7ObNm/n1r39NVVUVkydP5vjx4z63\nS0hIwOl0kpqaykUXXRTiVtbRoiER6RSRdNIzGKy1/Otf/8LtdrNp0yZOnz7tc7tJkybhdDpJTk4O\n6cWrFeYiElRd/SIP7VFTU8OuXbv4yU9+QkxMjM8rIvXs2ZMZM2Z4arD37t0b6LzPR2EuIt1OMAK1\npqaGX/ziFzz99NOeGuvx8fE+ywTExsYyd+5cUlNTmT59uuekajAXJynMRaRbCzRQa2treeutt8jM\nzOSDDz7gG9/4BpMmTWLfvn0+tx8wYAApKSk4nU7Gjx+vMBcRCYZg9o4PHjzIvn37mD9/PqWlpeTm\n5uJyuSgpKWm27fvvv09BQQHz5s3j97//fbPVqP5SmItIt9bZdVistRw8eJB//OMf5OXlUVFRAdQt\nRjpy5AgAEyZM4O6778bpdJKSksKAAQP8Pk5QV4CKiHQl6enpQN00ys6q5miMYezYsSxdupQhQ4Zw\n3XXXERsby1tvvQXUFfr64he/yP79+9m/fz/r1q1j2rRpOJ1O5syZQ2xsbNDbBOqZi0gUCWU1x7Nn\nz/Laa6+RmZnJ0aNHufXWW3n88cf55S9/yd69e1uswT5r1iycTidJSUmtlhLQMIuIdFvhuhDFli1b\nyMzM5Nlnn8Vay5kzZ9iyZQtut5vCwkKfr+nbt6+nBvvEiRObrThVmItItxWOhU3e0yLfe+89FixY\nAHw+LbKsrMxz4vTw4cM+93HRRRd5arAnJCQACnMR6eYi8UIUf/jDH0hMTCQhIYHc3FzcbjdlZc2q\nnwCQmJiIw+Hg6quv1glQEZFIcuzYMf793/+dwYMHs2zZMh599FGOHDmCy+Viy5YtnDlzxrNtUVER\nRUVFfh9DPXMR6fK6QsmB2tpa/v73v3sWI9166608+eST1NbWsnPnTlwuF3l5eVRVVQGQlZWlYRYR\nkUhWVFTE22+/zZ133tno8XPnzrF161ZcLhcPPfSQwlxEpKuqra2lR48eWjQkItKVPfjgg+zdu9fv\n16lnLiISQSorK3njjTdYsmRJ6IZZjDHfA+4DaoC/WmuX+9hGYS4i4qeQDbMYYxYA1wOzrLVVxphh\nHd2XiIgEpkfbm7RoGfC4tbYKwFp7LDhNEhERfwUS5pOBLxljPjbG5BhjUoLVKBER8U+rwyzGmA3A\nCB9PPVr/2sHW2kuNManAa8AEX/tZuXKl53YkTeIXEYkU3gufOqLDJ0CNMeuBn1trN9bf3wM4rbWf\nNdlOJ0BFRPzk7wnQQIZZ/gwsrD/oFKB30yAXEZHQCGTR0PPA88aYHcAF4N+C0yQREfGXFg2JiESg\nUA6ziIhIhFBtFhGREOuMkr0aZhERCaOWroykYRYRkS4iPT0dqLsQ9YkTJwLal8JcRCRMCgsLAVi/\nfr0n2DtKYS4iEibx8fEApKSkkJWVFdC+NGYuIhImJ06cYPDgwZSXlzNo0KBGz/k7Zq4wFxEJsfbM\nZlGYi4hEAc1mERHphhTmIiJRQGEuIhIFFOYiIlFAYS4iEgUU5iIiUaDDYW6McRhj3MaYrcaY3Prr\ngIqISBgE0jP/38CPrbVzgZ/U35dWBHKx1mijz+Jz+iw+p8+i4wIJ8yPAwPrbg4DDgTcnuukf6uf0\nWXxOn8Xn9Fl0XCAXp/gR8IEx5pfUfSlcFpwmiYiIv1oNc2PMBmCEj6ceBR4AHrDW/skYcyN1F3i+\nMvhNFBGRtnS4Nosx5qS1dkD9bQOcsNYO9LGdCrOIiHSAP7VZAhlm2WOMmW+t3QgsBAoDbYyIiHRM\nIGGeDvzGGNMHqKy/LyIiYdDpJXBFRKTzdeoKUGPMYmNMgTFmtzFmeWceK5IZYxKNMe8ZY3YaYz4x\nxjwQ7jaFkzGmZ/1is+xwtyXcjDGDjDGvG2PyjTG7jDGXhrtN4WKMeaT+/8gOY8ya+l/93YIx5nlj\nTIkxZofXY0OMMRuMMYXGmL8bYwa1to9OC3NjTE/gv4HFQBJwszFmemcdL8JVAQ9Zay8BLgXu78af\nBcCDwC5APwvhv4A3rbXTgVlAfpjbExbGmHHAPcA8a+1MoCdwUzjbFGIvUJeV3n4EbLDWTgHeqb/f\nos7smTuAPdba/dbaKuD3wNc68XgRy1p71Fq7rf72aer+wyaEt1XhYYwZDVwDPAt065PjxpiBwBet\ntc8DWGurrbUVYW5WuJykrtMTb4zpBcTTjRYiWmv/AZQ3efh64Hf1t38H3NDaPjozzEcBRV73D9U/\n1q3V90DmAq7wtiRs/g/w70BtuBsSAcYDx4wxLxhjthhjVhlj4sPdqHCw1pYBvwIOAsXUTXV+O7yt\nCrvh1tqS+tslwPDWNu7MMNdP6CaMMf2A14EH63vo3Yox5qtAqbV2K928V16vFzAP+K21dh5whjZ+\nSkcrY8xE4PvAOOp+tfYzxtwa1kZFkPoLKbeaqZ0Z5oeBRK/7idT1zrslY0wM8AfgFWvtn8PdnjD5\nAnC9MWYfsBZYaIx5KcxtCqdDwCFrbW79/depC/fuKAX4yFr7mbW2Gvgjdf9eurMSY8wIAGPMSKC0\ntY07M8w3AZONMeOMMb2BpcBfOvF4Eat+hexzwC5r7ZPhbk+4WGv/h7U20Vo7nrqTW+9aa/8t3O0K\nF2vtUaDIGDOl/qFFwM4wNimcCoBLjTFx9f9fFlF3krw7+wvw7frb3wZa7QQGsmioVdbaamPMd4G3\nqDsz/Zy1tlueqQcuB24D8owxW+sfe8Ra+7cwtikSaCgOvgesru/w7AXuDHN7wsJau73+V9om6s6n\nbAGywtuq0DHGrAXmA0ONMUXUlRX/OfCaMeY7wH5gSav70KIhEZGuT5eNExGJAgpzEZEooDAXEYkC\nCnMRkSigMBcRiQIKcxGRKKAwFxGJAgpzEZEo8P8BZzfn2b2/v4cAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x109517630>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Plot the least-squares result.\n",
"pl.errorbar(x, y, yerr=yerr, fmt=\".k\")\n",
"pl.plot(xl, line(xl, m_true, b_true), \"k\", lw=3, alpha=0.6)\n",
"pl.plot(xl, m_ls*xl+b_ls, \"--k\")"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"# define a log-likelihood/objective function for lmfit\n",
"def lnlike(parameters, *args):\n",
" x, y, yerr = args\n",
" params = parameters.valuesdict()\n",
" m, b, lnf = params['m'], params['b'], params['lnf']\n",
" model = line(x, m, b)\n",
" inv_sigma2 = 1.0 / (yerr**2 + model**2 * np.exp(2 * lnf))\n",
" return (np.sum((y-model)**2 * inv_sigma2 - np.log(inv_sigma2)))"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"# create the lmfit Parameters\n",
"p = Parameters()\n",
"# (Name, Value, Vary, Min, Max, Expr)\n",
"p.add_many(('m', m_true, True, -5, 0.5, None),\n",
" ('b', b_true, True, 0., 10.0, None),\n",
" ('lnf', np.log(f_true), True, -10, 1.0, None))"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"# create a Minimizer object\n",
"mini = Minimizer(lnlike, p, fcn_args = (x, y, yerr))"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Maximum likelihood result:\n",
" m = -1.0030087752384897 (truth: -0.9594)\n",
" b = 4.528315614382648 (truth: 4.294)\n",
" f = 0.45364478116469964 (truth: 0.534)\n",
"\n"
]
}
],
"source": [
"# use lbfgsb to calculate the maximum likelihood result\n",
"result = mini.scalar_minimize(method='L-BFGS-B')\n",
"\n",
"result_vals = result.params.valuesdict()\n",
"m_ml, b_ml, lnf_ml = result_vals['m'], result_vals['b'], result_vals['lnf']\n",
"print(\"\"\"Maximum likelihood result:\n",
" m = {0} (truth: {1})\n",
" b = {2} (truth: {3})\n",
" f = {4} (truth: {5})\n",
"\"\"\".format(m_ml, m_true, b_ml, b_true, np.exp(lnf_ml), f_true))"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x10939cbe0>]"
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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za+Xl5UYN9rNnzxrbtdZcvHgRs9nMmTNnjJ68l5cXc+fObbToV0vnzpeXlxuLkWJiYnjt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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x109326048>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Plot the maximum likelihood result.\n",
"pl.errorbar(x, y, yerr=yerr, fmt=\".k\")\n",
"pl.plot(xl, line(xl, m_ls, b_ls), \"--k\")\n",
"pl.plot(xl, line(xl, m_true, b_true), \"k\", lw=3, alpha=0.6)\n",
"pl.plot(xl, m_ml*xl+b_ml, \"k\", lw=2)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Find an estimate of the posterior probability function (the distribution of parameters that is consistent with your dataset) - use the `lmfit.emcee` method"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"res_emcee = mini.emcee(steps=300, nwalkers=100, burn=100, thin=1)\n",
"sampler_chain = res_emcee.chain"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.text.Text at 0x10a2f3b00>"
]
},
"execution_count": 14,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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qKjBrvQiHw3i9XlavXs309PQ8v7iSIv7YY4/x6aefMjk5uWBA9vHjx5meniYS\niZCfn5/Qr+r1enbv3s0nn3zC1atXiUajNDQ0LJqm7Ha7hXVQlmUxuTtx4gTr1q1LGKjz8/N5/vnn\nefvtt3E6nbz//vtkZ2dTXl6+qNUkJSWF5ORkpqen52UvzUWxFNhsNi5evCgE8/DwMIFAgJqaGsrK\nykhJScFut3Pt2jWqq6s/swvmnogCSZKygT1ABTAMvCrL8rycCkmS/hh4HZCAf5Zl+e+uv78Z+Amg\nA6LA92RZvrDQuV5//XXeeustUetblmWsVivV1dWUlpZy8uRJsRqYLMtkZWVhMBiw2Ww4nU6qqqo4\nderUggPmUiwFBQUF4uGzWq2Ul5ezb98+ysvLRbGkhaKa6+rq+Pjjj6mvr8dms9Hc3MyKFSuwWCyY\nzeYFU5UU9wHMmuZHRkZ48cUXF7w2Jdjy+u9JZmYmDofjllXOFqKrq0v4kYPBIKOjo6SlpWEwGBb1\n/09PT2MymUhNTaWsrIyJiYkF02quXbvGxYsXeeCBBwDIzc1lamqKw4cPJ+y3Zs0aMRi5XK55D1tx\ncTE+ny9BMASDwQSTubI2QSAQEKbtsrIy0eEpOJ1OEa+wZs0aZFlmcnKSUChESkoKRUVF1NbWYjab\n0Wg0uFyueaLgVibZG60d4XCY6elp0TEEg0Hsdjv3338/4+Pj/PCHPxRZDeFwmHg8zsWLF+eJAoPB\nIBZuiUajXLhwgUcffXTBTAKv14vH42F6epqCggImJiZEjIJWq6Wmpga32000GsXtdmOxWBIGmkAg\nwEsvvUQ4HMbhcGA0Gtm+fTtDQ0P09fUtKZVw7u+h1IA4d+4cMzMzrF69mqysLNrb20XcSXp6Opcv\nXxZul02bNpGbm0tGRgZWq5XS0lKys7Opq6tjbGyM+vp67Ha7iCFSnucbrQ85OTmcP39eCCWv10t5\neTnHjh1j69atbN68mfXr19PU1MSJEydu+l2CwSD19fXCihYKhdi/fz/p6emYTCbcbjelpaUEg0Gi\n0eiibUWv1xONRklOTqasrIz+/v4EUaAsxGU0Gnn11VcT7s3cwV4xYweDQVavXk17e7t4BpYaU2A2\nm8UzoXD8+HHsdjvxeJzz58+TlJREPB7n29/+NjArvpWVOz/99FPeeecdjh49Sl1dHX/+538OzC4y\nVFpaSlFREQaDgatXry4oCkZGRnj66afR6XQLWgNNJhOvvPIKMHuPP/jgA4qLixfs7+b2WefPn2dg\nYICkpCSDVy4yAAAgAElEQVQKCgoWrPyqBHDv3LlTpLpOTEwgy/KCv5XFYqG9vZ2xsTHOnDlDcnIy\nr7766jwXiZIh09fXx+bNm8U1KVas06dP881vfhO9Xs/AwAA7d+68KzEZ98pS8H3giCzL/12SpD+7\n/vr7c3eQJGkts4JgExABPpUk6deyLA8A/x34S1mWD0mStPv664cXOtHMzAxarRaLxUJOTg7RaJSR\nkRHuu+8+kpOTMZlMOBwOLBYLpaWl+Hw+IpEI165do6KiAo1GIwb/GxubUrJ2MRRRYLVacTgcJCUl\n4XK5qK+vZ/369Vy+fJnOzs4FS1hmZmZSUFBAb28vw8PD5OXlsWPHDlJTU3njjTeE2p6L4j6w2+2c\nPXuWp59+etFZhiIKlAam+E1vVxSEQiGGh4e5//77Abh8+TL79+8nHo+zZs0aTpw4QXFxMXa7HZvN\nJga1uQ9kZWUlJ06cQK/Xz6v0peTWKx20Xq/nySefFMsBK/v09vaKgXshS4FSnW5wcJCGhga8Xi97\n9uxJ+H3C4TCVlZUUFRUhSRI+nw+Hw4HD4RDfD37jn4ZZ1b9x40Y8Ho+IL1GsO0pmhyJSvF4vZ8+e\npaio6Jai4MYiSFarlfz8fOx2u8jgKCsro7i4mJaWFoaHh/mrv/orTCYTBw8exOVyCXO7EpCUmpqK\nyWTizJkzov2sWrUKo9HIsWPHePTRR8X5+vv7MZvN+P1+BgcHefnll5mcnBTisbq6WpiWN23axMWL\nF9FoNGLWHQ6H0Wq1whpiMplEzff09HRhPZvLmTNnxCqGDQ0NCR1wd3c3VVVVnDt3TmQ1DA0NsX79\nejG4xWIxRkdHOXr0KD/4wQ8wGAwcOHCAuro6srKymJycZOPGjUxNTVFeXo7T6RRBu/v27aO6uhpZ\nlklNTZ1nfUhLS+Po0aP4fD4CgQDbt29nw4YNaLVaAoGAcBcpGS9zuTEWwWq1cuLECWEtsNvt6PV6\nNm7cSFNTE9PT06SmpuJyuUhOTr5pDIoy0SktLeX06dMJz08wGOTatWts2bIFp9NJa2ur6MNkWaaj\no0OsBPmtb32LeDxOQ0MDe/fuJS0tTdxjn8/Hp59+ypNPPrlIa519Buda4cLhMBMTE/zu7/4uOp2O\naDTKCy+8wHvvvSfcHJOTk6xatYrR0VEGBwd58sknue+++/jVr34ljjM2Nibug06nWzCdNxwOI0nS\nTav+zcVoNLJt2zZOnDjBSy+9lBCEraQjTkxMUFJSwuDgIM8999xNa8hIkkQsFhPLbVdUVNxS8G7a\ntImDBw8Si8WE22TuRE+WZc6fP09ubi4vvPDCPHfBqlWr6Ovro729nYKCAiKRyF3LrrpXouA5QImu\neQto5AZRAFQDzbIsBwEkSToJvAT8D2ASUO5SJrBwPVDg7/7u7+jt7aW1tVWoSIfDwbVr11i9erUI\n1hkbG2PlypXs3buXqakpNBqNCABaTBTcylLg8/nIz88nLS2N/v5+CgsLsdvtIvCvurqa999/n/vv\nv39Bs+n69et59913aW9v5/777ycvL4/k5GRh2bgRxVJw7tw57r//fmGBsFgsDA4Oitk2IDoeq9VK\nYWHhHS0wA7OBjOXl5WJwdblc4iHOzs7GZrNRWlpKbW2tuP6+vj4OHjzIzp07mZycpKCgQKRV+f3+\nhAdgampq3qztxloMGRkZHDp0CJgdGG48BszOWsvLy0Xkt9vtJhKJsHXrVpKSkli5ciVtbW00NzeL\n36m3t5e9e/ciSRKhUIhvfOMbYuXDTZs2iWhzo9FIIBAgEokkWEWUa1Bykru6uhgbG6OqquqWtTDm\nLq4Cs51uaWkpfr8fr9fL0NAQq1atIj09HafTiSRJFBUVodVqcbvd5OTkYDQahQVj1apVGAwGMWt/\n7bXXRJtTVhycizLAKq6bgYEBQqEQ5eXlGAwGKioqOHv2LH6/n61bt3LhwgWys7MZHx8nGo0SCAQS\nBJdSijUQCGA2m+nt7cVsNidYYCwWC48//jgej0cE4inX0tfXR11dnQgwXLZsGYODg6SkpCQMRlar\nlebmZlFDoq6ujqNHj/LQQw8hyzLp6en09vaSkpJCWVkZZ8+eFaJWEfglJSXz8sgV60NfX58Qgsri\nSY2NjTzxxBOL3sdPPvmEb33rW+I9JXvCbDaLiUhaWhputxudTidKj4dCISRJIjU1lampKfR6/Tyr\nouLC0Ov1ZGdni2BpmJ099/X18dprrxGPxxP6KsU6+PDDD3Pp0iWsViupqakYjUbKy8vZv38/4XAY\no9FIY2MjWVlZ7Ny5c8FJhhJXM/e5HBkZobi4WLQxRQgqkySj0YjFYmHr1q20tbXR09NDYWEhZ86c\nYWxsjJmZGYxGI2azWTyPilCfW+56enpaxOnA7Mw+Pz//pjFHgKh0OtcKCb+xEly6dAmLxUJycjIZ\nGRnY7XZOnDiBLMuMjIwQi8WQJIkHHnhAWPVup3x5RkaGsJgoRavmDup+v594PM5zzz0377PKM7l5\n82Y++ugj0tLSWL16dcJE6bNwr1ZJLJBlWamiYgUWmp62A9slScqWJMkAPA0oEXPfB/4/SZJGmRUJ\nf77YiZ599lkeeeQRHnjgAcrLy1m/fj0VFRU888wzNDY2YrFYOHfuHBaLhVgsRm5uLk8//TRbtmwR\nDW+xwV+n06HVahP8+HNRGnZ6ejqjo6MiSFDJGjAYDJSUlCwa+Z+fn09tbS1/8id/wuuvv45er8fr\n9VJcXMzQ0NC8/ZWOZHR0NCFAzel00t3dnRDEdfDgQcxmM3v27KG1tfW2UuUikQhtbW20trbS3t6e\nUIhpcnKS3NxcysrK2LVrFzk5OWzYsIGKigoMBgNJSUmUlpYyODiI3W7n448/ZmhoSKwi1tbWJsxu\nSuyHssrfYsiyTG9vLy0tLZw9e5bp6Wkx41Q4e/YsnZ2d+P1+xsfHGRsbY3x8HLfbTVdXFy0tLeTk\n5DA8PCw6t/7+flJSUsQM+tKlS/zqV79icHCQCxcucPbsWU6ePMnRo0eFL3ruQK7VasnNzRVtq6en\nR8xKFvutlYFH6WhkWWb//v38/Oc/5+DBg4yMjNDb2ytcUQrJyclihuh0OsnJyaGoqIiuri4RE6PV\napmenqaoqIiOjg5OnDhBR0cHTqeTYDAoVm9U/lfa28qVKzGZTCKQ0mAwUFRUxMDAAHl5eeI7S5Ik\nBp9gMJhgzdJqtWg0Gjo7O+nr68PtdvNP//RP2O12cQ8vXLiALMvk5uYmmLr7+/uF22jlypX4/X4s\nFsuCq2babDYqKyuF6Kqvr2diYoKJiQlRA8TlcnHu3Dn6+/s5efIkVVVVxGIxLBYLPp+P0tJSnE6n\neOavXbuGzWajtraWqakpTCaTmCBkZmYyNTW1aADryMiIsCLNpba2ls7OTuA3vuMbRYFSldJisbBn\nzx5Onjy54DmU/qe8vDyh3R86dIjVq1dz//33s3HjRsrLy1m7di0bNmxgw4YNrFq1ipSUFLKysrBY\nLGLA3759O2VlZTzwwANs3LgRg8FAe3s7v/rVr/jkk0/m9YVKEOfc30Apz6ugxDAUFhZisViw2+2Y\nTCYyMjKEa0iJ8dBqtZw6dUr81kowXiAQoKSkRKQams1mPvjgA1GZVTnvjeWJF+O+++6jr68vIcPH\n7XYjSRIXL17k3LlzIiPKbDaTn58vaswoE7mZmRlKSkqoqam545VA09PT58V33GyNF6WkckZGBitW\nrBBWgrtVT+JzsxRIknQEKFxg01/MfSHLsixJ0jzniyzL3ZIk/Rg4DPiAK4Cy5uzPgf9LluUPJEl6\nBXgTeOzGY8BsIFg8HhcBKIr5dcWKFeTm5nLx4kX6+/t58cUXMZvNVFVVYTAYEhrWzSwCRqNRBIXd\niGImS09Pp6enh7q6OvR6fcK+tbW1/OIXv2DVqlXzzINerxeLxZIQtWu321m9ejXDw8Pz4hySk5OF\nS8JgMFBVVUVpaSm9vb1MTExw+vRpVq9eLWa2L730EpmZmVy7dk1EHC8Fs9lMd3c3FRUV1NbWJhRc\nmpycJD8/n56eHiKRCGfPniUWi/GNb3xD7KPT6YjH41y9elWULR4dHSUjI4Pm5mZWrlwpCszk5OTM\ncyko2QEKly9fJhgMMjk5KSLdm5ubSU9PFybF8+fPYzabsdvtfPTRR2i1WiRJYuvWrYTDYX71q1+h\n1+sT6iWMjY2RnZ1NTk4OXq+XtrY2rFYrmzZt4sknnxSCcM+ePcKEmJqammDqLS4uZnh4mKGhIXJy\nctBoNMTjcTEY3ojdbufkyZMkJSWRkZEhYiqi0Sgmk4mOjg5SU1N58MEHxb2fW5tCGdzT0tIoLCyk\nqakJt9tNa2srdrud3Nxc0tLSmJiYIC8vj46ODjH7VCwsSpCdRqMRWQw7duygoKCArq4uEXUfjUZF\nhHokEiE5ORm9Xo/NZiMpKYnU1FTee+89Hn/8cTIzM0VAVHV1NU6nk97eXn72s5/xZ3/2Z5w6dQqb\nzYbdbqempgaPxyPEYVtbGxs3buTkyZO43W56e3sxGo0L1g6w2+0sX76c8fFxPB6PWG/hX//1X1m7\ndi3d3d00NzcTjUapqqoSFqLp6WmcTiexWIyXX34ZrVbLL37xC1555RWuXr1KZWUlSUlJXLlyJWE2\nqNVqhWVE8b1nZ2eL9jo2NkZKSgpWqzVBMK5YsYKWlhYRSJeVlYXdbhcLZimBfpWVlXR1dfHggw8y\nMjKS4IqIRqOi3YXDYaqrq/noo4/o7Oxk2bJlXL58mYcfnvWqHj9+HIvFgsfjEZMdxf2TlZVFb2+v\nEHGxWEwEywUCAdxuN6mpqZSUlIj4i7kDvs1mQ6/Xi0EsEokwMTHBzp07xT6KKCgrK6Ovrw+TySTE\ndygUEhanAwcOsGbNGk6fPo3RaEyIDVKCU3t7e9m+fTvd3d3IsszY2Bgmk0kURFtq1U6j0SgmZUos\nRnNzM1euXBGrZv7+7/++aFfl5eVoNBrKy8uF/76goIDq6mpRhvtOTPgZGRnzyo8rokCJhVNQBKDy\n3pYtW2hoaOD48eN0dHQsWNH2dvncRIEsywsO0gCSJFklSSqUZdkiSVIRsGBBdlmW32R2wEeSpP8G\nKDbFzbIsKyuq7AV+tti5vv/97yPLMh6Ph+3btxMOh8nKyhLVCGtra2lvbyc9PV3UtZ6ZmUkYII1G\n46KmdSWuYKFgQUUUpKWl0dnZSTwex+l0cuLECbZt24ZOp6O4uJj+/n76+/tFNLaCkrY2VywojVMZ\naObm0F+4cAG73U59fT2/93u/R0dHB6Ojo4yOjhIOh7l8+TJDQ0Ns2LCB9PR0cnJyRN725OTkkkWB\n2+2mvLx8Xt5vJBKhv7+fSCRCcXEx3/zmN0lNTZ1XL99qtbJs2TI6OjpYu3Yty5YtQ6PRiMCp06dP\nU1dXJ2IJlLKsKSkpRCIRmpqaEvzNSqpecXExSUlJlJSUCB/2k08+id1uZ3R0lP/wH/4DP/vZz1i1\nahVer5fW1lY6OztZs2YNu3bt4u233yYUCnH+/HlkWaalpYW6ujqRQtfU1MTAwADr1q0TFc1gdiYb\nDoepra0Vg0FWVhYZGRnE43E8Hg+tra2sX79eLGZz6NAhEbxUUVEhfpvR0VHMZrOYJdntdlJSUnjm\nmWfYvn0777zzDhs2bEiokhgMBkUb8Xq9YkAuKCigvb1dDMT5+flUV1cTDofZtWsXOp2Onp4ezGYz\nycnJ+Hw+Pv74Y2FFuXDhAsuWLRPmYSXF1eVysWXLFlwuF21tbWg0GqxWK9u3b8fpdGK1WsnOziYS\nieByuRgbGxNtXElblCSJNWvW0NnZyZtvvkk0GqW0tJSxsTGRcun3+3E4HGi1WiHqrVYrdrudrq4u\npqen5y1HbLfb2bFjB21tbXzwwQdMTk7idDoJBALC4gGzs7MNGzawc+dOEegWiURwOp1cunSJNWvW\noNVqOXv2rAj+Ky8vF/FHSonkeDyOVqvlgw8+wGg04vf7aWhoYM2aNUQiEaampkTNgbkpYzqdDo1G\nw7vvvkt5eTmlpaUMDAyI2BOPx0NhYSEbNmwgKSmJqakpLl++jEajISsriyeeeAKPx0N2djY6nY6B\ngQFycnKor6/nww8/FNYanU5Hb28vhw8fFtVNFVGgBBFmZmZis9lEXzI3f767u1tMqqxWq+hjHnvs\nMYqLi4ULcu7zq1iQFOEIs1bRiYkJ6urqcDqdjI6Oigwdu91OcnIyubm5IuUYZq2Z27dvp7m5mXA4\nzPDwMA899BCNjY0Eg0Hh8h0eHmZycpLjx4/jdDpxOp3YbDbWr1/Ptm3bbtqX1dbWcvbsWWpra4UQ\nePDBB5mcnGRsbEwIU8XtazabhSicG1OWlZUlRGokEuH06dOibezYseOma1RkZGTMsxb7fD48Hg/H\njh1LSPO8MStGkiS6u7v55S9/id/v58yZM7+d2QfAfuA14MfX//9woZ0kScqXZXlKkqRy4EVAGYX6\nJUl6SJblk8AjwHw74nVeeeUVVqxYwYULF6ipqeHtt98WZtf+/n4uX76Mw+HgZz/7GRs2bCA1NVXk\nTcPszHdoaGjR4hkmk0lkA8wVBqFQCI1GIx5+paRoQ0MDGo2G/fv388QTT6DX69FoNAwNDc0TBTea\nYGFWlRcVFeFyuRgdHRUPshJguHr1auLxOMnJySLlxuVyiU46KSmJ9vZ2ysrKSEtLw2w2U19fT2Nj\nI6FQaElLerpcrgWDenw+H36/XwR2GQwGkVng8XhEmdy+vj7Kyso4duwYjz/+OCdPnmRoaIhAIEBh\nYSEejwdJkhgdHWXDhg1kZmbi9/tFoRqTyZQwKL7//vtYLBZR9rmoqIgVK1Zw5coV7HY7Z86cobq6\nmunpabZt20ZrayszMzNkZ2fzv//3/+aFF15Ao9GIgbSlpYWpqSkGBgbE7Li4uBiNRkNBQQFJSUls\n27aNjIwMCgsLaWtrw+Px8F/+y39Bq9USi8U4cOAABw8eFGsgKJHcFouF6elp0tLSaG5uFtkNyvob\nHR0dnD59mnA4TGdnJw0NDaSlpVFSUkJGRgbRaDQhS0NJe5VlWUSbK2sdWK1W2tvbMZlMVFdXU1tb\ny4ULF3A4HOJ+lJaW0tjYSEFBgZhpPf/88/T29jIzM8MLL7xAMBgUJbaVWf7Zs2dFu45Go5jNZsrK\nyujp6WFqakpknih+4UAgQDwe59ixY6xatYrJyUlSUlLYtWsX77zzDqWlpRw9epT+/n6i0ajIFLl4\n8aKoHJmenk4sFqOhoYEzZ84Qj8fZv3+/8B9Ho1Ha2tooKyvj4sWLlJWV4fP5+MM//EP27NnD888/\nj0ajobu7m5SUFFF/ICkpiUAgkOCbHx0dZfPmzSLGZHx8nIyMDMrKynC73cJ64PF4MBgMeL1enn76\naTo6OhgfH6e4uFi48XJychZ0ETocDs6dO8err76K0WgULoaxsTERca5MXi5cuEBxcTGbNm0Snysu\nLiY7O5uCggJRc0Cn01FUVMRf//VfU1VVxeHDhzl37pwwhZ89e1aslGkwGAgEAhQXF4sYI6VNKe6M\n999/H6PRSG9vL+3t7aJQkuLiycjI4N1338XtdvOTn/yEWCzG5OQkhYWFCTN2t9vNwMAATU1NdHV1\nUVJSQmpqKs3NzVy6dImkpCT27t1LW1sbJ0+exOv1ihUdNRoNgUCA7u5u0eYuXbpEZWWlyObasGGD\nCLwdGhqiqKhonnuptbWVtWvXYrFYSEtLIz09XcysJycnRUVFvV5PSkoKmZmZQkT5/X5RyGuuKFBS\n0rOzs7l48SLxeFzEQd133300NzfjcrlITU1Fr9cv2LculB6qWJAUV57CjYWL+vr6GBkZ4bvf/S5p\naWkiyPmv//qv551nqdwrUfAj4D1Jkr7L9ZREAEmSiplNPXz6+n57JUnKYTb74HuyLCuOuT8AfipJ\nkh4IXH+9IBMTE6xfvx6fz4fJZMJms4kfzu12U1tby7Jly/iHf/gHnnzySU6ePMkDDzwg0tWGh4cZ\nHh4WlcduHKSNRiOXL18mFAoJUx38xkoAs52VEp26YsUKSktLuXbtGh999JEIeGlsbEzI8YXZBjA9\nPc3Q0BBarRatVsvg4CDPP/+8uCbFnOj3+8nIyBCNdy6jo6OEQiEKCwuJRqP09/ej0+k4c+YMXV1d\nTE5OCvOywWAgLy+PnTt3LpozPjePdy4zMzMEg0HS0tLE7C0zM5PLly8L/7osyyINU/FnvvXWWyIo\nrLa2lra2NtauXcvx48fZunUrWVlZ+Hw+srOzmZmZET7Arq4uzGYzg4ODYiBet24d1dXVaLVa6urq\n+NGPfkRbWxvl5eXIsswf/dEf4XA4uHTpklDoP/3pT/mLv/gLdu/ejcVioampid27dxMIBPjhD3/I\nL37xC5qbmyksLOSll14iEokgSZLoTPv7+4VJ2+12i+yWxx9/nM7OTjwej0g/feKJJ/joo4944okn\n6OnpobKyEkmS2LFjB/F4XKQ/FRcXE41GhcWkvLxcBMp2dnai0+mQZZnLly/T1NSEx+Phm9/8pgiK\n1Ov15ObmYjKZqKysZGBggNraWgwGAy6Xi2PHjqHX6xkaGqK5uVmYrYeGhhgcHMTpdBKJROjp6eHU\nqVOsWLGC3t5edu3aRW1tLe+8844wMRcXFxMKhcjLy0OSJGw2GwUFBTidTh555BHOnz9PLBZj06ZN\nCXUAotEoqampfOMb3+Dq1asiQj4rK0vkt4+NjfHggw9iNBrJzs6msLAQp9PJhg0bRGyIIgoGBweJ\nRqNi0He73WKp2vLycmw2m7DIFBQUMDMzQ1tbmxAgVquVpKQkotEoVquV3bt343A4+Nd//Vf0ej1m\ns5nf+73f49e//rUQZsrCRX19fRw9epSpqSnMZjPT09P09PRgMpmIRCJEIpF5pmCPx8PMzAzj4+Mk\nJyfjcrmIxWIkJyezfv16YYpOT09ncnJSuELvv/9+9u7dy/T0NCtXrmTVqlUJBcp++ctfUlZWxh/8\nwR+wdu1a4Xo6c+YMg4ODtLa2YjAY6OzsFGu4jIyM0NraSjAYxGw209HRwfHjx/n4449JSUkRfU96\nejrJyclCRI6OjlJcXMz69euFeNXpdGzZsiWh/wgEAvzjP/4jMzMz7Nixg66uLgYGBtBqtZSUlJCb\nm8sTTzwh6sOEQiF27drF7t27yczMxGKxiN/W7/dz7do1XnjhBSwWC1evXuXll1/mypUr5Ofnk5GR\nQTAYxOfzid9cifIvKyvj0qVL+P1+nn/+eVJTU1mzZg3nzp1Do9HQ1dVFJBKhoKBAtPmysjKys7NF\nAS1lUjnXUpCRkcHAwAAnTpwgPz+foqIili1bRm9vr1h7JD8/f8EluI1Go6hSqrRPxVq9kChQJqID\nAwM0NzdTXl5OXl7eXVsp8Z6IAlmWHcC8BdVlWZ5gNqBQeT0/v2f2/Yv8xmpwUz799FPRcSu542Nj\nY3R3d4tSp6mpqfT29nL16lX0ej1r164V/rapqSnq6+sZHh7m3//939m9ezc6nU4ECxqNRhwOx7zK\nVIoIgdlZvDL7UT5XV1eH2+3mjTfeYO3atfT19dHS0iJSuDweD7/85S+FSc5qtVJUVER/fz8dHR3E\n43H0ej1Op5Ps7Gx8Pp/I9b8xl9Zms7F161ZhCrx8+TJPP/00jzzyCFevXsXhcKDT6fD7/axbtw6n\n08mnn37K7t27SUpKoq+vj/7+fjwej3hAF4qydblcIthOadyKz1MpFqIsyPJv//ZvIuDQZrOxefNm\nHA6HeKAUM5jNZhNlV2G2nv5HH33EqlWr6OnpIS0tDZ1OR2FhITabjfPnz7Nr1y4RdHngwAFycnJI\nSkqit7eX//pf/ys+n4+2tjZqamrQ6XQMDQ3R2trK66+/TiAQYHJyUqxOpiw+5fF4+NM//VOWLVtG\nY2Mj69atY2RkhJSUFEpKSpiensZisRAMBsVyu0pQo9VqFR3K4cOHuXbtGhkZGaxdu5b+/n7xMBcX\nF4uAr5qaGkZGRhgbG2Pbtm10dnZy5coV2traMJvN7Nq1C6PRKHyw69evx2g00tXVxbVr19i4cSOd\nnZ2i3R06dIiJiQmRdvrII4/g8/lITU2lqamJoqIiUlJSiMViaDQaVq5cSU9Pj2iTf/mXf8n3v/99\nUaNByY5QAuFSUlIYGxtjZGRExNl4vV6WL1/OxYsXCQQCaDQa8vLyhD9YSQ2DWfNseno6siyzc+dO\nOjs7yc/PZ9u2bTQ0NPD3f//37NmzR5RVLi4uJj8/n/b2dtxut3iuMzIyCIfDZGRk0NLSQigUwufz\nkZyczL/8y7+g1+u5cuUKLpeL/v5+HA4HVVVVRKNR4RNWgnVPnDjB0NAQfr+fH//4x6xYsYL09HSa\nmpoYHR0lFouJILtYLMZLL73EJ598Qnd3N+FwmEgkwuuvv86+ffvEtSquSyXbx2Aw0NHRwcmTJ+ns\n7CQvL49IJMLAwICYaVdUVDA1NcWjjz6Ky+UiKSlJuJI2btxIS0sLfX19JCcnE4vFeP/990VlSaVv\ny8nJoaKigomJCWw2GzabjSNHjrB9+3Yh5k+fPs3Q0BBHjhwRFTvvu+8+srKyOHXqlAj4TE9P5+LF\ni8CsqyErKwu3201dXR0rV66ktbV1Xo6+4kacnp5m+fLlFBUV8fDDD/Puu+8SDofJzs7GYDAgSRL/\n6T/9J06cOCFW5czMzGR8fFyU7Z5b3fJv//ZvkWWZvr4+LBYL4+PjwmpSWlpKd3e3COSz2Wy0t7cL\nF+ChQ4d49tlnqa6uJikpiaNHj1JWVkZDQwO7du2io6ODixcvMj4+LvrtuenOc0WB0gbMZrNwC8Jv\napIoC6itX79epLFOTEywfPlyRkdHmZmZ4cqVK2zcuFFkECnZH3NdZF6vl3A4zLFjx4QV1WKxsGHD\nhi9/oOGXhWeffZbVq1eLxYxGR0c5deqUKEhTVFTE2bNnCYVCPPPMM7S2toogH5/PR2trK2VlZQSD\nQTVe9vgAACAASURBVBGlPzMzwyuvvILJZMJkMuFyucjIyEiwDiiZB4o5WFnGVrm5TqeTkZERtm3b\nRl9fH0ajkffee4+srCwRkJWSkkJlZSVZWVkcPnxYpCV6PB7Onj1LQUEBY2NjlJWVMTQ0RFNTEz6f\nj66uLrxeLyUlJdx3333Y7Xa2bNlCLBbjH/7hHzCbzTgcDrKzswkGg/zu7/4uWq2Wb3/720SjUbZt\n20ZjY6OoM3/+/Hm2b98uApL27t1LfX09Op2O1NRUkX0wMjJCWlqaCLiDWRdIRUUF/f39YkYGs5H8\n69atY3x8nKSkJOrr69m/fz8+n48nn3ySN954Q3xOMf0fOXKEt99+G5vNxt/8zd8QDofZuHEjXq+X\nmpoarl69SmFhIf/2b/8m1iWA2Qj0v/qrvyI1NZVTp04Jn6Qy07106RKHDx9m3bp1oqJab28vIyMj\nfO973xNL9iqDgsfjobKykoqKCpGb3Nvby44dO3j88cexWCycP3+e559/HpfLhcVioa6uDp1OJ9Kv\n/uZv/obCwkL+6Z/+iaamJurr6xkbGxOzVcWKosQxrFq1ivHxcTo7O8nJyeH48eM89dRTtLS08J//\n838WwnTlypV8+OGH/OQnP6GyspItW7bg9/uZnp7GarUyPj5OIBDg2WefZWJigqGhIQoKCpAkiba2\nNnbu3ElGRgabNm3i3XffJSMjg5ycnISsjU8//VSkR5aUlHDkyBGKiopoaWlhfHyc/Px8zGazSL0z\nmUw4nc7/n733DI7zvM6/r+0di12UXfRddKIRRCMgFojFVCFF9Ui2HGWk2LJly73FjuOQo8SOZTuy\nRnIZm1ahJEukJAqi2ASRBAGCIEB0gMCiLHYXwGJ7AbAd2PJ+UO6T6P+fd17HJZlk3mdGI33QcJf7\nPM99n/uc6/pd1J4H/u/wHEZDZKfujY0NrK2tQaPR4OzZs+Dz+aipqUFbWxuef/556PV6ZGdn4+zZ\ns2hpaYFEIkFJSQkEAgH++q//GgsLC/B4PJQy99hjj2FgYABKpRIcDgd33XUXFRMHDhwAh8PBd7/7\nXRiNRgSDQfh8PtjtdsTjcbS0tCAWi+HChQuIRqNwOp0wGo1YW1uDz+cDh8OBQCAAn89HIBBAZWUl\ntmzZgvfffx8qlQoKhQJ8Ph+nT5/Grl27SA8RCAQgEolgsVjgcrkgk8nouc3OzkZmZiamp6fR3d2N\npaUl+Hw+mEwm8Hg8GI1GSKVSmM1mJBIJ7NixAyUlJejv70djYyP2798Po9EIk8mEubk5KJVKtLe3\n48033yQHSSKRgEajQVNTE23uKpUKVVVVEIlEEAgE2LFjBxwOB6amphCLxVBQUIDx8XEolUosLy9D\no9FArVbDaDQiEong1VdfxebmJoqKij4WSQ98ROKzWq1obm6GWq1Gf38/WbY5HA5MJhNyc3NRUlKC\n3t5e8Hg8yrx46623wOPxqMPI4XBoLSgvL6eR4a233orGxkb88Ic/hMvlwuzsLNbX15FMJrGysoJo\nNIqZmRmUlJTA7/fj/fffx913343y8nJ0dXVh165dCIfD0Gg0dFjq6emBTqfDjRs3qHBTqVSkF2Ld\n2mQyCYfDAblcTmuiQqEgd49Wq6V3ubOzE9euXcOPfvQjdHZ2YmNjA4ODg5DL5aiurobdbsfm5iY9\nK8y6e/78eYhEItx2221IJBJwu93g8XiYmJiAx+P5GGvkj73+1xcFEokEXq8X5eXlKCoqgkAggMfj\ngUQiwfT0NKanp3HgwAHCDzOxkEwmw4cffoiBgQHk5+dDKBRCKpUSiOiVV15BXl4egsEg+bWPHz+O\nmpoaqr5lMhkGBwfpgVheXsby8jK4XC4uX76M1tZWUsuyOdzevXtpIR4eHkZRURFUKhXOnDmD+fl5\nNDU1YefOnTh27BgqKytRUFCAffv24eLFi0gmk9jY2IBGo6E/g3UH1Go1GhoaIBKJ0NjYSF551uJb\nWVkBj8fD9evXUV9fj1tvvRUXLlzAe++9B41GQ61MnU6H9vZ2opONj49DLpdjaGgIXV1dUCqVH/Oo\nsxPO8ePHce+99+LgwYOYnJzEyZMn8eSTT+LatWuYmZmh+WwkEoFEIkEgEIBYLIbJZEJzczMmJibI\nWbBz505kZmYSMTAWi5EATiQSYWZmBpOTk8jLy0Nubi78fj+ys7PB4XBw8OBBLC0tIS0tDbFYDKur\nqygvL4fH44HRaMTY2BiMRiNGR0chEomQlZWFlpYWLC0tQaVSwWAwYGZmBr/85S+Rnp6OpaUljI2N\nwWQyoaamBm63G6lUiqyRIyMjsFqteOSRR1BYWIif/exnCIVCePvtt6mgZKMBDocDs9lM4ricnBzY\n7XaC5fB4POj1erz77rsYGBjA8vIyIpEIRkdHCfbzzDPPgMPhoKamBqOjo3jwwQfh9Xrh9Xppc9/Y\n2MDc3By1ZNVqNQwGA4RCIdkdLRYLBW9VVlZSF6Svr4+eGSY8NBgM5BxJJpOETj506BCAf7fKbmxs\nQCAQIBaLQSAQUGv0rbfewuXLl8HhcJCfn4/NzU3Y7Xasra1heXmZnAICgQAHDhzA6dOnsbm5iUQi\nAb1ej3A4jC996Uv44IMPkJ+fjw8++ACTk5Pwer2oqqrC+vo6AaOYhcxkMmFmZgarq6tobm5GeXk5\n9uzZg5dffpnaxsPDw/jMZz6DsrIycLlcHDx4EOnp6cjPz8czzzxD9rycnBy4XC7E43FMTU2By+WS\n4Nbn80GhUMDhcEAmk2H//v2wWq0YHR0Fl8ul+5FIJBAKhQihrVarUVpaiqGhIWrbczgcsisePnwY\nUqmULHlMPd/V1YXdu3dDoVDA4/HA7/fDaDSitrYWdXV10Ov16OjowPT0NGw2G6LRKNbX17G6uorG\nxkbodDqUlZXhgw8+QHt7O2pra/Hcc89h69atGBsbwyc/+UniAqytreHRRx/F0tISjEYjGhoasGvX\nLhw/fhwmk+ljRYHdbofNZqMuyfbt26HVajEyMoLh4WEkEgkYDAZs27YNMpmMLKwejwcffvgh7HY7\n9u7di9XVVczNzeGuu+6C0WhEa2srTCYT5ufncccddyCZTCIzMxO7du0i55VCoaC1TS6XIzs7GyaT\nCSUlJRgfH4dWq0VrayssFgtuv/12Ek5qtVoolUrKiGFjwO7ubhw6dAhLS0sfE3QC/x6pzjq+TGSe\nnp6O2tpaDA4OQiKRYGlpicS7LMXR7XbDaDSiuroaExMTyM3NRVZWFs6ePYvHHnsMgUAAg4ODOHz4\nMHp6eiAQCBCJREig+/93Cv7ASyAQwGazIS0tDadOnYLP5yNyF1Nqd3R0YH19HSMjI1AqlbBYLCgt\nLSWm+B133EFVKrMdxWIxQqdGIhEUFRURiKSnpwfJZBLBYBBdXV0kBpNKpfjpT38KvV6Phx56CDk5\nOejv78fi4iLsdju8Xi/a29tpRsqEhswSZDabCe6i0WgILFJfX49gMIjCwkKsrKygrKyMFiFmT2S5\n8+np6SQkmpmZgUqlwvT0NGZnZ8HhcNDZ2UlUtoKCArz44ou4//77AXw0wx8YGIBYLEZDQwM4HA51\nOJgwLhgMgsvloqWlBWNjY7hy5QpaWloQCoXA5/Mhk8loIy8tLUV/fz/S0tLIBqhWqzE5OQmbzYbh\n4WGYTCZwOBxMTk6ioKAAGxsbVPnPzc1Br9cjMzMT999/P2ZnZ2EymVBUVAS3242rV6+ivr4eiUQC\no6OjqKurA5/Ph9vtRnp6OhEgCwoKyOmgVCpRXV2NCxcu4P7774dEIoFer6dW7okTJ1BWVobW1laU\nl5fjxIkTsFgsaGlpwV133UVtw5ycHCo8xGIxOjo60NjYiLy8PPB4PBw+fBjFxcX44IMPcPXqVXR1\ndaGtrQ0LCwvURmWgIpVKhY6ODmpL1tfXo7e3F1NTUygsLMTly5eh1+sxMTFB46CrV68SJW52dpbC\nv3Q6HW7evAmDwUAe+4qKChQVFWFkZATV1dVIS0uDVqtFd3c3Be709PRQSFRubi5sNhvUajU8Hg8y\nMjIwOTlJkKnR0VEMDw/js5/9LIB/B+xEIhGKvmYETRa6xDpzRqMRLpcL0WiUZuxNTU0YGRlBe3s7\nvF4v3V+tVkuFzrVr10hc2NjYiEgkgm3btsHpdKKqqorCsAYHB1FSUkIYXw6HQ9kVN2/eRFVVFdRq\nNTkFfD4fzGYzlEolsrOzIZfLUV9fD5FIhDfeeAMCgQCPP/44rTMMzsR4AWNjY9Q6V6vVuHLlCmw2\nG0QiEXw+H+ljxsfHqZPyH9M1me6ivr4etbW18Hg8dJIHgP379+Mf//EfsWXLFthsNszOzmL//v0k\nQKupqcHOnTtx6dIldHV1wWKxoKamBgUFBaSZ6ujogFarhdFoxN69ezEwMACHw0G00lgsRip9iUQC\nDocDn88HiUSCnJwcrKys4ODBg7j77rtp3bBYLLQGJ5NJvP/++8jIyIBKpYLFYqHior+/Hy6Xi6iO\nd999Nwmik8kkTCYTFhcX4XQ6YTKZ4HK5YLPZ8PLLL0Oj0aC1tRU2mw03b97E3XffjTfffBPbtm2j\nMZPVaiU4kUajgVAoxK233opYLIbdu3fD7/djdnYWo6OjZFkOBAJkd3Q4HIjH4zTSLC8vR2VlJXJz\ncynwjCHyGRJfrVZjfX0dCwsLmJ6expUrV2gsEYvFcObMGdTW1mJychJGo5GYA06nE3Nzc3jvvfew\ntLSEL33pS/D7/TCZTHj//ffJZptIJDA+Po6mpia0trZi27ZttOf8Oa7/LnjRf9l15swZ9PT0wOFw\nwO12Y3V1FWlpaVhYWACHw0FmZiYCgQDcbjfOnTuHmzdvYnx8HIODgxgeHqbWVF5eHvR6PVZWVvDK\nK6/g+vXriMfjaG9vp5eU5abPzs7ixRdfxLFjx6BUKin7nKlpA4EAefvX19chEolQX1+PgoICzMzM\nkIed+awZ1MTpdOK1117Ds88+i9XVVWRmZkIkEuGf//mf4XK5yBHA5/NJP7G4uEgCmrfeeguzs7Ow\n2+0YHR3F2bNnEQ6HMT8/T2OI5eVlmEwmrK6u0oZtNBpJkMZQoxcuXCAB5ZkzZ1BdXQ2NRkPz/La2\nNlRXV9Nsmo1gXnzxRfT390OtVtMCyuKk+Xw+DAYDkskkFUFut5toemyOXllZiUceeQQajQbXrl1D\nWloaCgoKUF1djfvuuw8PP/ww0RQXFhYQjUbxzjvv0KxxeXkZfD6fWsHsufj5z3+OYDBI4Bq2sF6/\nfh0TExO4dOkShoeHsbq6Co/Hg7GxMeTl5SEUCqGoqAiRSARCoRCXL1+GwWDAG2+8gevXr5MQkYmZ\nRCIRJiYmYLFYcOPGDQSDQczOzuLUqVNYWFjA8vIy3G43OBwOWlpakJOTg4KCAuj1elRXVyMSiRAd\nkBVYJpMJ/f39cLvdkEql2LZtG+LxOMrLy9HT00NZGKWlpbDb7eQ+YOQ0lUoFHo9HXa2MjAwcOHCA\n2AppaWnIy8ujU25rayudMhnOWyaTobW1FfF4nABD7DkuLCzEzMwM3XOXy4X5+Xn85Cc/wXvvvUch\nL6lUCh6PB6FQiCyPbrcbfX19sFqtOH78OObn5+HxeIgHsH37dqSlpUGn04HH42FgYAArKyuUZKjT\n6fDWW2/BZrPROrB3714IBAKiM3Z1dSEQCCAtLY1EoXNzc5icnMTs7CxKS0vx2muv4atf/SpOnTqF\n6upqVFZW0iw5JycHk5OTsFgsyMzMxOLiIjIzMzE5OQmfzwelUol9+/bBbrdDLpcjKyuLRhRarRY5\nOTk4ePAgampqkEwmP5ZjEQwGodVqSZH/HwVlrKMQiURw6tQp0kJJJBKMjY0hFotRa/3pp5/G7bff\njn/6p3/CoUOH8JWvfAWFhYV48803kZWVhWvXruHGjRvE45+ensbbb78NPp+PUCgEDoeDK1euIBAI\nwOfzoaamBoWFhQgGgx8DmC0sLODMmTP49a9/jd/85jc4duwYYrEYpFIpSktLSczI4riZAJa5jlhX\nlok1mSbqvvvuQ2trK3bs2AGPx0PPsU6nI5cRI9RmZGTA7XaTC8xisVDKIbNiDw8Po7e3F2tra7hy\n5QoSiQRcLhf92+120xiLPW/t7e3Iy8uD3W5HTk4OotEogsEg3G439Ho9ampqMDU1hddffx3AR0Vb\ndnY2brnlFvT29oLP59OBTSwWU1HA4/Fw8eJFCIVCOBwOFBQUoKSkBDKZDBUVFdi6dSu5Wubm5mAy\nmTA2NoZwOIyzZ8/i5MmTZKX+U6//9Z2CZDKJaDSK8+fPEwZSoVBgcnISNTU1+OIXv4jz58+jp6cH\ndrsdfD4fWVlZaGtrwzPPPEPgIJlMhkQigYWFBajVahQXF2N+fh5msxkOhwNXr16l+VF2djbS09Nx\n5513QiaTwev1orS0FE1NTQiFQvj+979P7Vwm/GJtxFtuuYWY3GwuymKSU6kUrly5QqyFjo4OiEQi\nqrSrqqpgs9lw6dIl5Ofn49q1a3A6nSguLib/s06ng1qtxt69e3Hjxg3cfvvtGBwchEKhoFSzjo4O\nVFdXY3JyEh6PB06nE2fPnkV9fT28Xi9SqRS+973v4YUXXkA4HEZubi6uX78Og8EAjUaD8fFxXL16\nldpjTCexe/dusjfF43EsLS3BbrejpqYGkUgEq6uryMvLw759++hFbWlpgU6nwzvvvENe92g0SkmW\nGRkZSCaT+Lu/+zsIhUIIhUJ0dnZCJBKhoqICsVgMer0edrsdr7zyCoqKijA3N4f19XVSbLOMiWg0\nSlHHLPOC8SDm5+fR29uL9fV1XL9+Hb29vaiqqsKhQ4eQn59P8dNM3HbrrbfCarWioaGBEgWdTid4\nPB6mpqaIFT88PAyNRoOysjKsrq6Cy+Vi9+7dHxMa3bhxA4WFhUhLS8Pm5iZxNdbW1iASidDS0oKG\nhgYYjUZs374dxcXFuPfee9Hd3Y0f//jH9LlSqRT9/f1wOp04ffo0+vr6sLS0hOnpaaRSKSJLbt++\nHRwOh4iPJpMJGRkZWF1dpUWTRW2bzWay3uXk5FArXK1WY3BwELt27cL6+joOHz6M8fFx9PT0oKen\nB0VFRZTet3XrVigUCtTV1WFjYwMTExOIx+NIpVLw+Xz48MMPEQgEyGr7wAMPkPOGWXmZRigzMxM5\nOTnIyMjAm2++SdkQ7LSXSCRQW1uL3Nxcut+tra1oa2uDyWSiYmlxcREbGxv41re+hcnJSUxOTiI7\nOxu33XYbhoeHyaK5c+dOuFwubNmyBefOnaP3fnx8nO7d5uYmtFotKisrsbCwAIFAAJlMBrPZjLGx\nMWg0GvT09IDH42FsbAx6vR6Dg4N48MEHqSjIy8v7WFHwf2aUsNnyV7/6VVRUVMBut0MqldJzsri4\niMXFRUxNTeF3v/sd1tbWcOedd5L7we/3Uw5BVVUV8vPzKVtCLBaTnsJoNCI/Px+jo6MIhULo6urC\nzZs3sW3bNkxOTqK6uppcFwKBgDqAN2/epOTHaDT6MVsi6zyJRCI4HA4qSqPRKHUsWLaEx+NBVlYW\n/H4/Kisrad3Nzs5GNBpFZ2cnNjc3cfjwYfT29kKpVBLumXXNJiYmUFVVhb6+PqytrcFut2N1dZVg\nVjqdjpJz19bWMDAwQLktaWlpUCqVGBoaQmNjI7Et1tfXCZ+fk5MDr9eLwsJC/PKXvyT3DRslNDU1\nobe3F3K5HIuLiyguLiZ9xcMPP4zf//73pJ2Qy+WwWq1EN21ubiZmRGZmJl577TWUlJQgHo+jqKjo\nf3Qg0n/ZdenSJQgEAqytrdFsXSqV0mmGpbw98MADeOONN1BbW4vOzk48/PDDMJvNdDoKBoMk0EtL\nS0NJSQnq6+vB5/Nx5coVSCQS2hj27NlDAiQejweRSITp6WnY7XZs374dBQUFuHr1Kg4dOkTxmWyT\nKy4uhtlsxtDQECwWC775zW/i17/+NTIzM+HxeDA/P499+/aR3WV1dZVm+/39/RgfH0dDQwMUCgVC\noRBu3LgBg8EAp9NJKl6xWIylpSU4HA7y8w8NDUGv10MmkxHsh7XT3W43tmzZgu9973t48803YbFY\nUFFRgSeffBI+nw979uzByZMnIZFIsH//fni9XlRXV+PUqVNob29HRkYGXn/9dTz77LPg8XhYWVlB\nTk4O3n77bZhMJuzcuRMjIyMUnev1erGxsUE54UzTMDMzA61Wi5KSEjidTnIfqFQqzMzMEPOAjYhS\nqRSEQiGMRiNtXOFwGFwuF3w+n5TjrIUtlUpRU1ODzs5OFBcX49Of/jTGx8dJhcwim1mSHBOA6fV6\nRCIRHDt2jBgATBzpcDgwPDxMCzqzqDmdTiwtLWF1dRWrq6uUbCgWi0ndXVlZie7ubvKvP/zww7h4\n8SJtgLFYDC6XCxqNhk64i4uLkEgk6OjoQElJCS5evEjFKrMrZmVloaqqiroEzDHCwrqYIJedCBm6\nOCsrC9PT01heXsa7776LaDSKL37xi+Byubh69Sqys7PB5/OhUqko0dNisRAWWC6Xg8vlorq6GnV1\ndWQlXVlZgUQiQWFhIUQiEYaHh0nIxePxIBAIUFhYCLlcDofDQY6W/fv349lnn8Wrr74Kl8uFxsZG\nQuBWV1fTpl9WVoZ9+/ZRkaXT6fD000+T714gEKCoqAg+nw9zc3OU0cE4/Y2NjTh27BiNVe6//36i\nKz7++OM4deoUdu/ejaGhIdx5552Ym5sDn88ntHU8Hieve39/P+l6NBoNuFwuFAoFYrEYvvjFL+IX\nv/gFsrKy4PF4sLi4CLfbjcnJSaI0qtVqJJNJlJaWwmw246GHHoLFYoFarab46oqKCmxublJXan5+\nHm63G9PT03C5XLh8+TLq6upIx/H8888jIyMDCoWCBIbMHrtnzx6kp6eTA4ltoFarlXQizKkwMjIC\nr9cLkUiE/Px8wsr7/X68/PLLqKurA4/HQ1paGlZWVnD69GkKSpuamkIoFMI3vvENVFVVweFwoLu7\nG9FolIKrOBwOgbZ4PB5ROVnR7HA4sLS0REW8y+VCMpkEh8NBPB6ncYnP54PVaqWuDdMvhcNhnDp1\nCvfddx+8Xi91ax5//HFEo1G89NJL2LVrF+HqU6kUacU2NjbQ19eHkZERlJWVIT8/H88//zwMBgNU\nKhXy8vLQ0tKCubk5pKen09jZaDQiPT0ddXV1cLvdFA5VWFgIp9OJlZUVTE9Pw+PxUL4JEzYydo7f\n78cTTzzx/xp+95+9/tcXBRKJhCI6fT4fMjMzsbGxgWg0iuLiYpw+fRrAR8Eaq6urZEP6xS9+geXl\nZfzqV79Ca2sr+Hw+rl+/DpVKRafaS5cukWUtFouhqKiIMLVsE0hPT4dOp0MqlcLu3bsxODgIt9uN\nEydOwOFwwOfzIRqNYnp6Gl6vF7///e8hEAgon5t5xqempihIpLi4GJFIhKw1fr8fyWQS6enpKC8v\nR2lpKerr6+FwOAjdyoRrQqEQy8vLmJycJE8801EcOXKERFnsNFJdXY1nn30WarUa09PTuHDhArXM\np6amoNPpcOXKFeTn5yOZTJLl54UXXsDi4iJhQL1eLwwGAw4ePIjc3FzqJkilUpw8eRJSqRSFhYX4\n4IMPMDExQbO69fV1XLhwgXC68/Pz0Gq1mJqawvbt23Hx4kWMjo4ilUqhr68P09PT4PP5qK+vR3l5\nOSQSCcLhMJHmnn76afzt3/4t2asUCgWlYWq1WgiFQqLrMU+w3W6nFmdZWRkKCgrQ19eHrVu3wu/3\no6+vD+np6bBYLHjqqafw9ttvIz8/nyyGa2tryMvLQ3p6OtmvFhcX4XA4IJFIIJFIcPjwYbzxxhtI\nS0sDj8ej4KtUKkWFklqtRnl5ORYXF7F3717Mz89jfX2dXBY6nY5Qw8xxIBAI4Pf7IZFIiJDGkLLD\nw8NUTLBiRiwW45577sHzzz+PpqYmAr2kUilUVVV9zClRVlaGoaEhxGIx8Pl8KoZYu9nhcOCXv/wl\ncnJycPbsWRJrMmuWRCLBSy+9hO3bt8NmsyE/Px98Ph9CoZBw0PF4nABBrL3MQoIYCS8YDFIrv6+v\nD+Pj4/D7/RQiJRAIkJaWhnfffRcZGRl44YUXKCBqbW0NL7/8MrWYWcw1g9uw7svy8jLa2toglUpx\n9epVSj2Vy+VwuVx47bXX4Pf70dvbS1ZhkUhEM/ht27Zhz549UKvVcDgc2LlzJxYXF6FUKqm4Y9jy\nYDBI82yXy4Xc3FzceeedePHFFzE3N0epoNPT0xgfH4fT6UQgEMCOHTtw/fp1NDY2oqOjg+6bRqOB\nRqPB1772NfqOW7duRSgUQmlpKUKhEAoKCuD1etHU1IS33noLm5ubkEgkWF5ehl6vp7AtqVSKxx9/\nHD/5yU+g1Wopgnlqagrj4+N46623kEgk4HQ64ff7sbKygkQiAblcTh04tVqNlpYWuFwubN++HQ6H\nAxsbG/j0pz+NoaEh6vSMjIzg85//PF555RUoFApCpzMku8FgQGlpKUpKStDR0UEWYh6PR7Aw1oHQ\narU4dOgQbDYb6urqcO3aNRgMBuTn51MHIDc3F7OzsxAIBBAKhWhvb8fi4iJ1cUZHRxEOh0lLwvJH\nLBYLIekzMzMxODiI4uJi4o3EYjHU1dVRKqTRaCRLs8FgoECkwcFB3Lhxg4oghnpmVuuWlhYoFArK\nm4lGozT6lsvlGB8fx/79/5fT/z99/aeLAg6HsxXAZCqV+vOoGv7CF4t7ffzxx2n2vrGxgUAgQKQv\nqVQKoVCIjIwMGAwGqNVqykRfX1/HjRs3wOfz0dnZSbapubk5pFIpUsoqFAq43W6sr68T+zs/Px9y\nuRyXL1/GgQMH4Pf7cf/99yMzMxM3b97EiRMn4Pf7kZ6eDq/XC5/Ph9/97ncoKiqiltHm5ibNx71e\nL+UycLlcBINBNDQ0UMuKnQRCoRCuXr1Kim273Y6SkhIYDAYUFxcT44BFy5pMJhpzsETH4uJicHPH\nGQAAIABJREFUeglcLhdZ3tgcm32vO++8E9evX8fFixephcWCeGpqapCZmUn+73g8jm9961vo6urC\n5cuXST2u1+tx4cIFRCIRxGIxxGIxJJNJgnqw+OFAIECjjFAoBI/HA41GgzvuuAOTk5OQyWSoq6uD\nVCrFwMAA7rjjDszNzVFrdWFhAa+88gpmZmboHpWXl+O9996Dx+NBdnY2DAYDtFotsrOzMTw8jHff\nfRdmsxlbt25FX18fbr/9dly/fp3EnkVFRZidncXCwgKamppw6dIl8uunpaXBZDLRM8PlcimVzuVy\nQSKRYGFhgcYmDMxy8eJFrK+vk7iRdRHOnz8Ph8OBzc1NnD17FpFIBIlEAiqViuxnm5ubxKFnIsqF\nhQW6v1qtFqFQCL29vQiFQmSp1Ol0lBy5sbGBe++9F1wuF1wuFzabjU6J4XAYi4uLmJiYgFarxdmz\nZyEQCOB2uzE/P49IJAI+n4+JiQmiVEqlUsjlcrI+pqWlEUAqPT2dTv6FhYWUNMfcB+wEbzab8Zvf\n/Aa7d+/G8vIyXC4Xjh8/js3NTXIRMUsaa1W3tLRgZWUFwWAQx44do7HLY489hnfeeQeDg4OEtx0f\nH0dWVhZt0ExtPj09jUgkAr/fj/z8fLS1teHb3/42rSE3b96k8QzLASkrK8PMzAwkEgn93gMDA+jo\n6CDP+vHjx+l+T09PIxQK4dFHH4XVaqWuY39/P4LBIHQ6HVZWVrBnzx7YbDYcO3YMOp0OYrEY3d3d\nyM3NhVQqhd1ux/z8PF5//XW8//77CIVCWF5ehtlshkAgwNDQELFMmHsDANkweTwenE4nRkZGyAly\n/PhxmM1mwrSzEV08HsfWrVspHZRph2QyGYRCIWKxGPLy8vBXf/VXmJ2dRTAYxODgICoqKiAUCjE7\nO0tWOvbc+Xw+NDU1UUgXuwdpaWlIJpMoLCyEwWDAm2++ScFhsVgMTU1NhFgHQIcgkUhEaOrq6mq0\ntbXh3Llz2LlzJyorK/GZz3wGDQ0NGBsbI11NdXU1pQ5KpVKMjo5iz549yM3NxZkzZ3Dq1CkUFRVh\nfn4eJpMJOp2OxlslJSXQarXEpdHr9UgkElhbWwOfz8fly5fh8/mwsLCAnJwctLa2Uurm73//e+ze\nvRuNjY3IyMjABx98gHvuuQfAR4FcHA4HSqUSYrEYZrMZbW1tGBoaoq4rc2v8Oa4/6E/hcDiPcjic\nZzkczqcAePERmvh/xMVEYR9++CH4fD7R/oRCIbKyshCPx7F3716Ul5dDLpfDYDCQkjkYDCISiSAr\nKwsSiYQwmFu2bEFFRQV0Oh0sFgu2bduGiooKpFIptLS0oKWlBaWlpbj77rvx6KOP0gLd09MDDodD\n4Irm5maIxWJSswIgvLLH44HX66XKl1HFxGIxVf9isZgUwBUVFaRYZur6HTt2wOVyURLZ5OQk2S5Z\n4prFYsGLL76IRCKBn/3sZ/D7/fibv/kbPPLII9i9ezeam5tx8OBBKBQKfPKTn8QjjzwClUqFvXv3\nYmVlBb/5zW9gtVqxsLAArVaL+vp6ahU3NTVBJpPRCw98lIb37rvv0vdlKmYGrmEK3OXlZUxNTeHm\nzZtIT09HIpFAPB6nVnlTUxORDtlvIpFIEAwGYTKZEIlEqGhgLUqWmxAIBMjC1djYCLFYjO3bt+Pg\nwYPIzMzEjh078Oijj1KrMCMjA0899RQCgQCNccLhMC5fvkzYXIVCQemGTNB0/vx5WkANBgMAYHR0\nFBaLhU7CO3bsgEKhoM2Y4ah1Oh1KSkqQnZ2NHTt2QCwWY2NjgzobYrEYyWQSfD6fOguMgjY4OIjx\n8XEIhUIisDHMalpaGvLz86FUKlFSUoJQKASpVAqlUkmBUKwFajAYqNMSj8fh8XiQTCaprVtdXY2W\nlhZS5TOMNVNIs6Amxq6YmpqiFLvnnnsOV65cQVFRETo7O8Hj8ZCVlQWpVErKfFZou91uco5UVVVR\nF0WlUuHBBx9EQ0MDsrKy8IUvfAFCoRDr6+sEMgoEAlhZWcGjjz6K++67DzKZjN6Fzc1N6tiEQiFc\nunQJJpMJgUCARHAffvghfvWrX6G5uRmxWIyshH6/H+FwGP/yL/9Cnb5AIIDGxkaMjY3B7Xbj8uXL\nRCU9c+YMJiYm0NzcDJVKhYqKCtx2222oqqpCWVkZamtr8eUvfxkqlQo6nQ6bm5s4efIk8fdPnTqF\nc+fOEdmTjSaZ1oMFiLF3pKSkBFKpFH6/HwaDgTgLdrsdHo8Hx44dg9PpRDgcJtdHMpmk4p2NNgoK\nCuidXFtbg9VqxdjYGNbX1xGLxTA4OIjBwUFcuHCBmAhs9NfT04OHHnoIX/va12AwGOj3FAgEGB8f\nx8LCAqqrq7Ft2za0t7dTDDvTAKyvr2NwcBCxWAxzc3OorKxEfn4+VldX4fP5wOVyKQituLgYS0tL\nBAuLRCKYnZ2FzWaDWCwmuiETYu7YsQNZWVnUlbFYLLh48SJCoRDeeecdnDhxAsvLy1ScWCwWiEQi\nXL58GWNjY8jPz8fTTz+NEydOoLe3l0aRKpUKW7duRVlZGWl+GPXW7/ejpKQEfD4f/f39yM/PRyKR\ngFKpJOtzY2Mj9Ho9ioqKsLS0BD6fD5PJRHsVh8MhjVo8HodOp0N1dTUcDgfpbP7Ui3fkyJH/z//p\n6NGjW/FR6FAmgMcAbB45cqTvT/70v/B19OjRI4wLz/zeKpWKkJLhcBiRSAQajQYHDhwgCxezgW3Z\nsgXBYBDT09NQKBSEIs3OzsaWLVvQ1dVFQqm0tDSEQiGC2zCvvNfrhUwmI/sgw3gy+2IoFEJLSwvE\nYjH8fj/0ej3+/u//nqpkr9eLzc1N7Nu3Dzdu3MCdd94JqVSKaDRKanGBQIBAIECCNa/Xi+XlZWoJ\nCwQC3Hnnnbh69SpEIhFUKhXN/Xfs2IGhoSEIBALMz88jkUhALBajvb0dfr8ffD4fRUVF1NaTSqUY\nHh5GTU0NtFotBgYGIJFIMDg4iLW1NUSjUQwNDdHiNjIygtXVVYyNjSEYDMJoNKKjo4NCdjgcDkW1\nskwCoVCImpoaIiiWl5fD5/NhaWkJ6enpJFhkvn0WqcpOPhaLBdFoFFlZWaivrydPdmFhIdndhEIh\nrFYrioqKqEiYmZmB0+lEKBRCJBKBw+EgctsPfvADvPLKK8RrYNhqplL2+XzweDzw+XxQqVQoKSlB\nWVkZotEoNjY2iDT5ne98B7FYDFNTU6ivr8ehQ4fQ19cHjUZDm5FSqcSePXswNzdH7e9YLEaJi2Vl\nZVhaWqLNNysrC2azmX67rKws6PV6WCwWCicyGo2IxWJYXl6meShLDXQ6nXSqd7vdcDgccDqdmJ+f\nR3Z2Ng4cOACNRkOFVTgchsfjoROMz+eDVqtFIpHA0tISlpeXKUGuubkZhw8fJuwxmw0zS+D4+Did\nzO+9915YrVb09PSQgCuRSCCRSKCmpgarq6v4/Oc/T0mJi4uL8Hq96O3t/ZimxmazkWAxGAxCpVLB\n5/NhfHwcgUAANpsNAwMDlBcSj8dJECsUCnHLLbfgH/7hH9DZ2Yl4PI5Pf/rTqKurA5fLxTvvvION\njQ0SwGm1WoTDYWoJP/HEE7hy5QplCTB9QnNzM+mQhoeHKaSJfYdbbrmFcMPp6emkf2IWXJYDsnPn\nTuLfM0BZRUUFysvL6d5evnyZHCpsJMLAYyyhMyMjA5mZmYhGo7QebGxsoK2tDT09Pdi3bx9tzDwe\nD3a7HQKBAMXFxXA6nZiamiIYUVZWFrKystDU1ITZ2VmUl5ejtraWhG8SiQRKpRJFRUUYGBigNaKx\nsRG1tbWw2+2orq5Gb28vtFotTp8+TZ/H3B0+nw+7du0iDsbevXvpd2htbUUoFCLRtsvlonRFNg6d\nn5+HWq1GIpGgpFqj0Ygnn3wSPT09pKVgIwNWSCwsLFCKKiug2OGLdVYnJiYouC4zMxN5eXkQiUQw\nmUwQCARU5G5sbKCsrAwul4tiwG/evIlEIkF6kmvXrmFsbAwzMzPo7+/HxYsXMTQ0RO8q68htbm5i\naGgIu3btgkgkwsDAANrb2ylk6ujRozhy5MgfFYDwh44PPAA2UqnUOQDn/pgP+u+6mA9YKpUilUph\ny5YtWFhYoMqaCQinpqZo1smyAsrKynDhwgXEYjFcvXoV5eXlVBhcu3YNHo8HRUVFBIdhixubaQmF\nQoLqhMNhrK6u4tVXX4VcLif/MY/HI2sSE12Njo4iEAggHA5TmExhYSHC4TDW19dpTllXV4eRkRFk\nZ2djbW2NIn49Hg9qamogFouJgFhTU4P09HSqNgsLC8n/urGxgfr6emRlZWHPnj0wm83o6OjAxMQE\nysrKoNfroVar8cILL6CpqQkTExP0d2DWIqvVCuCjnIW8vDwUFxcjLy8PqVSKvPeMIsY2lWAwiLm5\nORw5cgQNDQ1YWFggcNHm5iadOisrK2EymRAMBtHU1ASPx4NoNIqGhgbMzs5STjxTRDMGQm1tLYFZ\n+Hw+dDoduru7KfTK7/fj7bffptNCV1cXJcexDRX4yKv+zW9+E+FwGH19fdTC3rJlC7hcLpqbmzE3\nN0cwFNbxaGpqIveH1WqF1WrFc889B4/HQwl6DF40NzdHJEgej4eHHnoIExMTqKurw6233orvfOc7\nkMlkkEql4HK5KCoqQnZ2NoLBIAFhOBwOWaXkcjmJp9ipPSMjA3K5HFqtFhaLBffddx/FV7e0tGBt\nbQ1erxcajQYFBQVwOBxIpVJkj+rp6aFQoP8YwVtYWAg+n09iTT6fj5ycHBw6dAgulwterxfvv/8+\nneIDgQAaGhrg9/shl8sJ6vX1r3+dXAGHDh3C2bNnSUczOTmJeDyOjo4O+Hw+OJ1OJBIJ0tRkZGRg\ndHQUKpWK9A/V1dU4efIkSktLYbPZ0N/fT925VCpFjIOMjAzs2bMH8/PzmJ2dhc/no0hpm81GPHyv\n1wur1YqjR4/i5z//OW7evIna2lqkpaXR5siyPQKBAOrr60mnYTQa6fTMHA6Mwx8KhbBt2zZ0dnai\noaEB4XCYgp1UKhX6+vqQlZVFbIr+/n4SYorFYlRVVcFgMCAzMxOVlZX47W9/i927d2N9fR1TU1NQ\nKBTIz89HKpXC/v378corr9BhJRqNIh6Pk46mr++js97AwAD8fj90Oh3q6+uxsbGBqakplJWVQa1W\nExXQZDLhwQcfRCAQgFQqpdEoA07V1dVhdXUV4+Pj2Lt3L6ampuBwOHDLLbdQN4L93m63G6+//jrl\nTNTU1NB4gI1jl5aWyEVjNpuRn5+P7u5usoKura2hpaUF0WgUlZWV5CgTCoV45plnyHpbVVWFVCqF\nmZkZFBcXY2xsDE6nEzabjUiBp0+fhlKppPl/S0sL3G43HUK0Wi2xZBgynHWgWFIjox/a7XYUFRVB\nrVYjPz8fa2trhNq3WCx47733AHwUicyIq2wcyMiuPp8PQ0NDtJ8EAgFcu3YNun/LT/lzOA+AP7wo\nuB3AtzkcjhfADQBdqVTqxp/lG/yFL4VCQTO6eDxOhQCHw6GTltPpxMmTJ8HhcPCNb3wDEokEGRkZ\n8Pv92LFjBy5fvkwPdjKZhNfrRSgUIlsQq1AZZIOl1TU1NUGj0RDo5YEHHsDJkydphDE5OQm73Y7Z\n2Vk68fr9fvzwhz8koQrLKnc4HHRyYJW/XC6Hz+fD4uIiIpEIlpaWsLa2RtV9MBgkhfkvfvELaqmt\nr69TC3ZqaooebqvVCofDQS1PBvRgLe/JyUmK2x0fH8fm5ia5AzweD2praykHID09HS+99BKAjxC2\nKpUKm5ub8Hg8FAWbnp6OsrIy9Pb2oquri04VoVCI2rSBQABnz54lPLLf70dLSwu6u7sp48HtdlNo\nyfDwMMVBRyIRPPjgg/jXf/1Xgvasr6+jvr4eNpuNchh27tyJb3/727Bardi7dy+JTOVyOWpqamC3\n27Fz505YLBaIxWIUFxdjamoKhw8fxpkzZzA6OgqFQoFHHnmENp/c3FxyDmg0Gmi1WiqE2EIxOztL\nrAOXy0W6FpPJhNOnTyMSiRCS99VXX4XD4UBOTg4RM+12OyU0MuujXC5HY2MjtmzZAqfTSWE4EomE\nFumhoSGEQiHSZrB4WybO43K50Ol0cLvdsFqtOHPmDJ566ilwuVwqmjUaDXg8HsxmM3nKmfuBhTFN\nTk4SIhcAjRJ8Ph9RHNPS0hAOh6HVaiESiVBUVESplBkZGbBarQSzYeCjSCRCrA+mlQkEAkgkEohG\no6iqqkJpaSm+8IUv4Pz586QuVyqV1JJmOghGklxdXcXi4iI4HA65TdRqNWKxGEZGRpCbm4sPP/yQ\n1P7JZJKSH0OhENkp2XO8sbEBvV6PS5cuEU2RuSwkEgnRNNl8f2VlhTDqbBPxeDwfc20sLy+T4yga\njaK1tZV0KtPT07jrrrsoL4WtUazzwNIWZTIZ2tracOnSJQAfBcaxgCpGyORwOJQ4+L3vfQ+zs7OQ\nSqWYmJigJFKW1Ofz+TA7O4vGxkYsLCzQujI0NISpqSk0NTWBw+Hg+vXrkEqlUKvVZOV87bXXYLfb\nMTk5iR/84AcIBALo7e2lcVMgEEBtbS0+9alPobOzE52dnUgkEpRnkJGRgdtuuw1ut5tU+jk5OUSW\nZJ3IoqIibNmyBWfOnCF9wsDAAD3zMpkMDocD2dnZSCaTOHz4MLq7uynH4L333sPw8DAMBgNEIhEC\ngQBB3Pbu3Yva2loUFBTQ3H9wcJC6PcvLy5BIJHC73VCr1UTLjUajMJvNJBDV6XR45JFHoFAo8OMf\n/xgZGRk4d+4c7S2Mt8A6H0VFRQiHwzRKCgQCOHHiBB588ME/ec/8Q8cHklQq9Z2jR4+eAZAEUH/k\nyJHBP/nT/8LX0aNHjyiVSuTn59PpmkVaxmIxAB/NuBUKBdrb2ykpjZ1kmY+a3Yi6ujpwOBxK4Cor\nK4PT6cSWLVtQWlqKRCKBSCQCvV5PJ4tEIgGr1QqPx4P8/HycPn2aNm6z2UxxxTabjea7THWsUqnI\nFjM2NoZQKEQ2N7ZYbmxskDectfdlMhn27t0Ls9kMDocDLpdLAkSZTIZDhw6hsrISwWAQAoGA5rV5\neXkoKyvD5OQklpeXwePxyJqWn58Pm81GDguNRoNkMol9+/bRw8o2FdbeFgqF2LJlC4aHh+n3TyQS\nRGwUCATg8Xjwer0kLgyHw9Sl4fP5xJ9nAUs1NTX4yle+gtdeew3BYBBra2vIzc3F5cuXMTIygq6u\nLkJMr6+vY9++fXjppZeI8rixsUEzYbYhVFVV0aYQCoUwOztLAiq2sS4sLNA9ZZyDtbU1XLp0Caur\nq2QxZPoCpv/Q6/X4+te/jkgkgv7+frS3tyM7OxsymQypVApNTU2kJmf5AI2Njaivr6cchLvuugsG\ng4EQtlu3bsXFixfhdDpJe+Lz+eByuagDMjo6irm5OWxubmJ1dZXanjabDVarleAtbJTAxJxpaWlU\nhDIGPCssWQLn/Pw80tLSAHxU8AmFQsoJYTkALEactTpZ/kFZWRmlFbpcLkxNTaGlpYU2V5/PB7fb\njfr6eiqYYrEYvvCFL+DixYsAPtIJsWeNPR/MnQAA9fX1ePjhh9HV1QWbzYaRkREaKbW2tuLGjRtk\nRcvKysLjjz9OXaw77rgDExMT4PF4uO2223DhwgWUlpbixRdfxNTUFLZu3Yp7770XV69excjICFwu\nF23gbGOYm5uDwWBATk4OHA4Henp6aBTHbLbxeJzSAlneyPT0NKxWKzgcDnVC7r77bqytrUEsFlMm\nSiQSQTAYJLgWC1NjUdlslBSPx2G1WsnHz8ZW6+vrmJubw9zcHJaWlui30el0aGxsRCqVolApNh7p\n6+uD2WyG1+slrdXKygodMFj3yGazEYLc7XZDoVDg6tWrcLlcKCkpoaLr7rvvRiQSgdlshlwuh16v\nx+nTp+F2u+F0OumZLSwsxIULF2hE19zcjM7OTip0t27dCrvdTgUNg3splUoolUrMzs6iubkZubm5\nRB1kY8xwOAwOh4OSkhKEw2FUV1dT94Bt+jwej7QaAoEAJSUl2L59O6ampsDj8bC4uEi5Cpubmygo\nKEBRUREee+wxCktiB0apVAqr1UrWSJVKRZ0wtVqN48eP4+zZs5ibm0NeXh7GxsZIb8Tei1gshk98\n4hOUd1NRUYGZmRmsrKzA4XDgqaeeYnvfHz0++EOLgsqjR48qUqnU4pEjRxb/JxQEwEdFAYtNNhqN\nZAdSKpUwm800W25ubsaTTz5Jim5mEWlra8OePXtw7tw51NfXU646q9JWV1dpM7T8W8SyRqOBw+GA\n1+sFh8OBx+MhImFVVRXN5pm9h8E7PB4PCgsLoVAokEwmacHyer2UYc90BIFAgEJtWFHA7IdMAMQg\nTKx9yE4pAoEAYrEYGo0GVqsVUqkUDzzwAMLhMJ2EfT4fjEYjPvGJT6Czs5Ny3aPRKLZu3YrBwUHc\ncsst1Ar2eDyURscoh2zjYJs9U2azUyZT5LMZKUPfspl6Y2MjZmdnaXGqqqqC2+2m1vnAwAAMBgPc\nbjckEgk5JtgpRiqVYmVlBefPn4fT6URWVhbm5uag1Wphs9kQCAQgkUjgcDiQkZGBGzduELiIpaJF\no1HEYjHU19djcXERPB6PuhlspGE2mwkgtLi4SHAX5lV3OBy4cuXKxzCtjFMukUjQ1taGubk5zM/P\nk5f6c5/7HCYmJggWJJPJMD8/j/7+fmRkZOC9994jqqDb7UYikaCCRyqV4vbbbyfktFKpREtLCwKB\nAIRCIbWd09LSEIlEaGFkIka24Xi9XiI0MnvZ6OgovF4vIWm3bt1KRUEymSQ7n1gsRnNzM2ZmZsDh\ncCiKlhXMAoEAOTk5eOqpp3Dp0iUac7DnmrEOZmZmIJfLEY1GKc48FouBx+PR885aqUKhkOBkcrkc\nfD6fMNlWqxVKpRJyuRzFxcXkaxcKhZDL5UgmkxRRzYSMKysr5GJhoUg3b96EyWTC4OAgZmZmsLi4\nSJqecDhMPnG2UbCwLwDEumfFAbsvw8PD9L6ygwEbL7F/2FoTi8Xg8/kgk8lIfJtKpUhw29DQAI1G\nQzoC5khIJBJUxLL3kp0ymRaB2fIkEgkyMzMxOzsLLpdLjpNr166RDc/pdFIEN8Mts/m73W5HdnY2\nYa9TqRS+//3vk1WYdddYiuXS0hLC4TBmZmZI87G4uEgCPJ/PB4fDQWK/pqYmdHV10XMaDofR2dlJ\nBUhRURFWVlZodLmysoLq6mpKcmQ8Abb2LC8v0/PDclBMJhMcDgeampqIM9Dc3Ayj0UjdG9bVZW4O\ndsBiIuFTp07B4/HA5XJhYmIC4XAYwWCQkPMrKyvEyGG224GBAdjtdhw4cACZmZmw2+1obW2l8TID\neG1ubsJkMpHFnh08Kysr8alPfYrtfX9xTUE7AHA4nB8AiALoTqVSL/wxH/hffTFePrPmhcNhjIyM\nUB59JBJBX18fpqamsLy8DLFYjJycHCSTSQpCYS+tUChEdnY2vF4vsrKysLa2hlQqhfT0dEgkEmRn\nZ0OlUmFlZQUCgQBZWVngcrnUEbh27RrNm/Pz86ntxVpDrIPA5n8M/RqLxfCpT30KJ06coCIgPT0d\nHR0ddApj8bDsBNzf30+nP7FYTGmFHA4H8/PzGBkZQUZGBtLS0mhEweVy8eGHH9Lp8YUXXqB2q0wm\no+hfDodD+ODl5WWoVCqUlZURL8FmsyE9PZ3Y9kKhENevX0dxcTEkEgkmJiYIe2o2m8nZAYDIX6lU\nCpubmxRqVFpaihs3bsBiseBHP/oR+eKDwSAuXLhAnmqmkGeAomQyCYFAAL1ej8nJSeh0OtpEW1tb\nMTg4SEl6CoUCBoOBfMrsVGw2m5FMJslTzjbseDwOpVIJqVRKvmm9Xk90QhbOwk7eEokEGxsbxE1X\nq9Worq6G3+/H+fPn6Tk7deoUrl27BqFQiMzMTPz2t7/F+vo6wuEwpqamsLS0RHZBADTPZZqTixcv\nQiQSgcPhoK2tDWq1mk7s7ARfWFiI6elpAB91y5grIRQKEaKYx+PhE5/4BLq6uiCXy6HT6bB3716M\nj48jEolgaGiIxg0sSTIQCBA0yOPxUEeKkSgZ06Gvrw86nQ6rq6uQyWQ0chkdHaX2M4/Hg8FggFwu\nx5tvvolIJILBwUHSBzFqXktLC8xmM+666y4MDg6irq4Ou3fvhsvlwn333Yfvfve7uO2225CWloZz\n585R3DVzVjDCXSKRwLVr17C6ugq73U60Sa/Xi5/+9KfweDzYtWsX6VtYjgdD99bV1dG7JhQK0dPT\nQ6I+BiVj+RGBQACvvvoq0SGvXLmCYDCIzMxM2pjNZjO4XC7279+P06dPk+OCuROUSiVZ9VKpFBob\nG0mEzLIyWJwyK9hZ2it77srKytDV1UWpgMySHQwGUVFRgaamJnR2duLBBx9Eb28vnewZHCkajVJk\nd3p6Ovbv349UKoVkMgmpVIrPfvazUKvVUCgUZHdUKBQ4f/489u7di97eXpSUlND7wcaLQqEQxcXF\n0Gg0uHHjBomNn3vuORLUcjgczMzM0FgqFouRtoKtTXw+H06nEw6Hg8ZOeXl55OpKS0ujwxePx0Nd\nXR0WFhYogZaNloxGI40szp8/j9raWqjVatx66604deoURkdH4fP56Bll5EU27hUIBBT9zP6OjFTJ\nAvcYUTISiaCzsxMqlQrBYBAKhYJyL/h8PoxGI4kcbTYbuFwuIpEIZTz8qdcf2ikIAZhOpVI//rcR\nwsaRI0dsf5Zv8Be8jh49eoSJ7wDQjDA3Nxe33noreDwekskktW15PB6USiX58sfHx9Hd3U0tLYfD\ngZmZGbKZPfHEE+BwOAgGg0gkElQxMqhEKBSiTemWW26hYCa2eFosFoTDYXrBGbgkFAqR6pjL5WLb\ntm2ECmYLuVqtRmVlJSQSCdRqNcUyM8ALw/SKxWJUVFRQ5VtVVQWXy4VIJEKxnyxNkeHO+5W5AAAg\nAElEQVRQ1Wo1eWxZDgA7kTHNxNraGtlw2tvbibDFgnzC4TAqKirQ0NBAZLy2tjaMjIwQnYvFt7JK\n2e/3g8fj0QyOEei2b98OkUhENEaVSoUnnngCS0tLBOq55557sLm5id27dyORSCAvLw9isZjcBuwz\nm5ubqTWZl5cHp9OJaDRKJ3e2kZWVlSEYDMLhcND91el0BMppb29HIBAgRGt1dTV1hxYXF6lr8w//\n8A8oKCgAj8cjBDJLeUylUohGo+ju7sbi4iIthmwBYfRNFrvt8XjoXkokEmxubtIsXSaTIRAIkBCQ\noVYZw4DP52NtbY2S+VKpFM3QU6kUbWwVFRWU4qZSqYjulp2djUAggMLCQmi1Wqyvr1MRpdfroVKp\nCNa0ubkJlUoFm82GhoYG1NTUIBQKUUeIy+XSYsnsgDKZjH5/LpdLwtTl5WUEAgFs3bqV3pmMjAya\ny0ejUaRSKYhEIjz22GOU8cDn8zEwMACRSISRkRESFzMhYTQahc1mo0KWhdo4nU7s37+fkM85OTlw\nOp3Y2NiAXC4nEbLVaqX3y263IxaLkWiZkU8ZprmyspLuq8PhQG5uLpaWlij1kQl3WfCZXC4nvHF2\ndjZpWNhGnJOTA7fbTaLgL3/5y9jY2MDm5iYsFguNvxgCnXFJ9Ho9srKy4HA4aHOamZlBKBSCXC6n\nZEWmieJwOJienkYikaBRCRtr8Hg8WhOYq4u17PPy8sjSzex1TMBXW1uL7u5uWK1W2Gw2OJ1OLC4u\nYmlpCWq1GhaLBVKplLz+TqeT0jKZEJalwbLuVCKRwLZt2+h3Y/ciHo/DZrNhamqKbNm7du2ibBGZ\nTIa8vDxkZ2eTiPzmzZvUUTCZTBCLxRAKhVTQ8/l87N69Gz6fDxaLBRMTE5Tx8clPfpIOKuwwwAoe\nZvm97bbbiHGjUqkoHpsdchQKBeWvsDWMdWj8fj/a2tpgs9kQj8dRUFCAVCoFr9eL9fV11NXVUXTy\nX7xTkEqlrv6H/44AGPpjPuy/42KzSwAoKSmhlhnjpq+trSGRSFALNCsrC6urqzhw4ABBWNiizMAw\nXC4XPB6PYnGXl5eRnp5OiVqMXLe6ugq1Wk3ecfagM3AOwwgzDCcLeOFwONi9ezcuXryISCSCe+65\nB3K5nHCmTqcTsViMWq79/f1U/bJFkrWlSkpKyN4Tj8fR1taG7u5uiMVismYCH0UnV1ZWUhub5cBL\npVLMzs6ShYnNebVaLfnYk8kkAVaYoGt5eRnV1dXIzs5Gb28vUqkUZSEw9ns8Hofb7ca+ffuQSCRg\nNBrxuc99DhaLBSMjIyQEZBG3O3bswODgIC0IXC4XDocDfP7/w96bB8d91/f/z70PaQ/trdWxq1uy\nJNuyLMtHEtmOHR9JTEIOSICUQksoAykMZfqFoYC/pTNtMkM7TNspkIaQMCFxEiAhJ05sx6csS5Zl\n3fexq9W1K62uXe2uVvv7w3m+xv594fvtt9Bvv/0OO8MQO44k734+78/reD4fTzV++tOfwmg0ym6T\nFiGVSiXfJycnB1euXMH4+Diys7OFaR4KhbBjxw7k5OTITZ2Tk4O1tTWxMBFwxc9uy5YtYq1LJpMS\nQtPT0wO73Y6KigosLS1hdnZWulemx1FjEQwGBe/KzsFoNArad2FhQdIbaRUdGBiAzWaDy+WS65DC\nysnJSdTW1uKee+7B888/L2K4qakpAQPRosoYW3a1Q0NDIhBUq9WyIsnNzZUpitvtRnZ2Np599lnY\nbDZRghcUFCAcDuO2226TAoR5EgDQ3d0tRS0ANDU1ST6FzWZDKBSSdRrhWOvr6xgYGJAC9/DhwzJx\nC4fDEomdyWRQXl6Ovr4+fOMb38DKyoroEziBYCFCCx2AWyigfJjHYjEUFhZiy5YtIsbkA9ZgMOCp\np57CU089JQpzWk5pYVYqlXA6ncIGqa+vxzPPPCNWtbq6Orm/Kioq8IlPfAI7d+7EiRMnZDrG64nZ\nC+QDkJ6XTCYlIIwalzfeeANGoxHvv/++WDhtNhtGRkZkjUjCpsPhkJAkotXdbjdsNpvYET0ej0zP\nuMqYnp5GdnY2cnJykEwmxS3BpqS6ulrCwL761a8KWntkZARer1embe3t7bLWmJycFO2P0WgUUSWb\ni8bGRiwuLkq+DAWpmUwGS0tLqKurQ2trqyj4FxcXsbq6Kmu1ZDIJl8slk9FEIiHXCgXHKysrWFlZ\nwfz8PC5duiRY7/r6epSUlMBut6O7u1veU5fLBb1eD7vdLg1gTk4O7Ha7wJP4wCZ4jSLo7Oxs7Nu3\nT4i3BIf5fD4cPXoUV65cgcvlwuXLl1FeXo7Pfe5zSCQSOHnyJH7+858LUj8QCECj0dzyWZAJQgTy\n7/L6N00K/qu+jh8//p1jx44hGo3CarXC6XSit7dXFLfsqjm2VavVwpyOxWKy//v85z8v6WparVaw\nsLTi0UZGiAwrTXZ+N4fIZDIZsUN6PB5kZWXBYrFg+/bt+Ju/+RtMTU1heHgYd955JxKJhOwCy8rK\nEA6HEQ6HMT09LcE5V69exfz8PDQajST/UchHER4tNQ6HA3/yJ3+Cf/3Xf4VSqZTOh6M/UvRWV1cl\ngSwUCgkul+TGY8eOye7TZrOJT727uxvr6+tSuebl5cHpdAo4qru7W3aZHCtvbGzIgRgOhwXh3NLS\nItaz2dlZcYtQhDk8PIyVlRUYDAZhqptMJsRiMZhMJlkVcb2SSqXkYbG2toZUKiUMASaRkXfOESxB\nLLRtEdmaTqdl9WAymbB7924RGKZSKbFNAsB9990Hu92OqqoqKTDZiXElQCU/AU8Gg0FsdlyD8CHH\n+NlkMilpgjzIyEJIp9Po6upCJpNBSUkJVlZWZMy4efNmRCIRIe8BgMViQSqVwq5duyQEKh6Pyx7X\n6XRKp2Y2m3HmzBm5Z7Kzs0W0NT09Lf79VCoFo9EIv9+PSCQCv9+Pvr4+2O12+dmXl5cxOzuLWCwG\ntVotExyDwQCr1SrwIQB48803MTw8LFM8rpcKCgrgdDrR0dGBmpoa5OTk4PDhw6ioqMDKygrKysrQ\n3Nws9yUjxm+//XYh4hkMBpmkKBQKYegXFBSgpqYGLS0tcDqdkgfAKOpEIiGhNuXl5TKen5ycxIMP\nPoiCggIRGfK+1mg0qKurE7Hn2NgYBgcHZS1oMpmwZcsWmU4olUoYDAbMz8+L44TWVa1WK+vL3Nxc\nvPfee8hkMnL/ElTGKObOzk6ZgDDQCoDcI8QCs0MdHx+/ZXWak5ODWCwm7z8nNbxe5+fnUVxcDKVS\nKbz+oqIifP/738f169cxMTEBn88nSas3Q7vIkuH9yOLAYrFArVZDqVRKqmVhYSHS6TTUajVSqRRU\nKhW2bNkCp9OJkpIShEIhLC0tQa1W48iRI1hbW8Pc3ByAGwFeTHwkA4ViZ66FaA1PpVKYmJhAMplE\nJBKROO9IJIKenh5UVlZK0m55eTn8fj+Gh4cRDAYxNzcnAl1qC2ZnZ3Ht2jWhbC4tLQmwrLW1FSaT\nCYFAQIrk559/Hs899xyuXbsmBQ/vF14TTHldXFyE3+/H0aNH+ez7jxUa/ld9sSiIxWIIhUIoKioS\n58DMzAxKS0tx6NAhCeNJJpPIzc0VAZPD4RDozdDQEPr7+0VHQIIcR3IWiwVarVa6aI/Hg9HRUfh8\nPiwuLkpFTLEUH0wej0f8usxGGB8fx9jYmHSKjMm8du0a5ufnxe+t1WphsViwtraGAwcOYHJyEtFo\nFMePH8f6+rqsMxobG3H27FkZj7a0tEgXTGgJQ2sCgYBMQzKZjOzeSktL8elPfxpzc3NYXl6Gx+NB\nX18fjEYj6uvr0dLSIrnzk5OTAG5YLmkNYhgTpw/JZBKlpaVIJBKwWCxihSQmOpFIQK/Xw+fzwWq1\noqKiQrqWtbU1sVxRba9SqZBMJgW4wvhTHiZLS0syiWGmAAEwdrsdn//85yX9zefziTtAp9PJlGF9\nfV0Kta6uLilwTCYTrly5gpWVFWRnZyMej0uwUUtLC5RKJS5cuCDY4bGxMfFvU0+ysrKCVCol+269\nXi8iM45Lk8mkdLKhUEg6LToMFAoFbDYb7rzzTkmg9Hq9AmLJZDK48847RQdCi15FRYVMzSgOJJ3w\ngQceAAD09fVBo9Hg8uXLEve9trYGs9ks7P319XWxeCmVSlitVrS0tMDhcCAnJwfXrl1DeXk5du3a\nJfdBJpORsTMAmZpw8raysgKz2SwiSkKBPB6PBElNT08jGo0ik8lArVajv78fo6OjMJlMYskjf5/v\ns9/vvyU9kuNeq9UKj8cjgrqPfOQjeOutt7C8vCyK/3Q6LSs/NgcsvFOpFNbX13HPPffIGiEUCskI\nGIBYkgGIrogF1urqKlQqlQgsWbiyeFGpVNixYwdCoZAUuVNTUzh79qx8Dd5DLpcLd955p6wmlUol\nampqxNa6efNmQRzH43HMzMwI8IyQIE5QdTodlpaWJC0wkUhAo9HIOcLRf1ZWFk6fPi3anoWFBQl8\nI6k0EAggkUjAbrfLz5qfny8iXq6XyNjIZDKSqnkzX4IiWwbeMZp5YmICALCysoLHH39cIrBZsPBh\nbLVace+99wq4qq2t7Zb1gEajwcGDB+F2u2EwGOSs5GSBDd/MzIx06YxSprVUr9fLhILrzJWVFSST\nSRgMBqyvr8Pr9YruaGxsTLg3/DoUT6dSKZSUlCCVSuHHP/4xioqKoNfrUVZWBoVCgY997GNCav1D\nUfBbXsePH/8ORzwk81mtVhQUFGBxcRFzc3MIh8MIhUJyOHM/tLq6KpU5ue+RSES4/w6HA1arFbt3\n70ZZWZkE+PBA3LFjBy5evCijQ+5J7XY7XC4X8vLykJ2djfLychHl9fT0oLOzU6r2ffv2YWVlRWAv\nIyMj0Gq1Ml5LJBLy/Xg4GI1GXLp0Cd3d3Ugmk9L5TE1NYWVlRR5AvKGZRFdZWYnt27fLHlSr1SIe\nj0OlUgEAZmdnEQwGMTExIR0T+eLZ2dkYGBjAysqKiKoI03A4HCgrKxPITEFBAbRarYhnOjo6MDEx\nITao22+/HeXl5YjH48hkMti8eTPW1tZEhElCGMVM6XRavhenHeyko9EovF4vPv7xj6O5uVmsiDer\n4WmTvH79unDs77nnHgQCAXmQ8n2MRCKoqalBfX095ufnodPp8O1vfxsqlQqdnZ3ie+f3oFqYEwAC\nbGpqarBt2zZJQdNoNKIjYUerUChQVlYGvV4vOg7+3YlUZlfIn9NqtcJkMuHatWtQqVSSiEi1MkOZ\nxsbG5Jrg349dGn9N1feVK1cQCAQkGpaQJWpmFAqF6AEsFgsMBoMUe16vF8FgUPjvFOhS7DkxMYF0\nOo3q6moMDw/DZDJJ50RwELtlnU6HvLw8ISFyesLIca/XKw/ecDiM4eFhjI2NQa1WCzqae32j0Yj9\n+/dLobVt2zb09vbKBIP+co1GgzNnzmBxcVHS8BKJBBobG6FUKsUHv7a2hj179sDhcIhGRafT4dy5\nc4hGo5KlAUBWi/v370dPT4/YXQlyWlhYQCKRQH5+vmDO+R6Ul5cjKytL1nycOnHiSUsk103xeBx+\nvx8qlUqamZmZGezYsQM1NTVip+R9T1umz+dDUVGR6BGYsEldCB/MLCZ4ry0sLMh6kALElZUVKVa4\nOycxVKfT4ZOf/KTEX99+++1QKBTw+/0wm81SaPBeisViwlKJx+NiVaY1mdRT6hAYoMa1SkFBgVgX\neZ1fuHBBuAPkuwA3xLuLi4uSS0OoF8FqPp8PyWQSc3Nz4vJhU8RrjRkeiURC8h3m5ubgcDgAQCi5\nExMTki5ZUVGBUCgEj8cDr9crmgmNRiPvGSe6ZBRMT0+jt7cXZ8+e/T9nSfyv+jp+/Ph3vF4vXC4X\nzGazJLitra3h7rvvxurqqhDvuOemepqeVMZ0ci9ptVqFiEZkcUNDA65cuSKpYKFQCH19fdKtUjTo\ncDjgcrng9Xplp15SUoK2tjaoVKpbMLlLS0vYvXs3Nm3ahIGBAbmgt23bhomJCRGgaDQajI2NyUOL\nFxBvJIVCgerqaszMzMBsNotC1Wq1yr56eXkZjz32GKqqqoRvnk6npVKn9ZCsA+YNsLOfn5/H8vKy\nxBGzELvtttvQ2dkpqWQkPMbjcezYsUPG7OPj46itrcX8/Dzm5+cF7avT6aTrDYVC0gmo1WpRCzNw\nh+ua2dlZ0W6sr6+LmOjatWu3FBAUI3FKQjcKg2H6+/sFC8yxdmNjo4S9jI2NYf/+/bjtttuEQGmx\nWFBXVweFQoFQKITKykq4XC5oNBrxNT/xxBPQaDRCbkskEti2bZt0nxUVFVhfX4fH48GBAwdQV1eH\nU6dOCdKaDzJCkOx2u6w77r33XtTW1qKnpwc+nw/19fVC0OMBzsJqdXVVglo2NjZEW8AXd7yVlZXw\neDzioVer1TCbzRL5a7VaUVNTA7vdLsVdOp3G2NiYWP4qKyslzIppeYwgdzgc0sEDkHExJy7ADXfE\ntm3boFar4XK5RK1dVVUlnxNJlJw+KJVKKBQKGa3SGsuxMtc9brcbjz76qBQo7JJ1Oh2SySSCwSAK\nCgrEKllQUCBTr+XlZdhsNhHjLi8v4+rVq1KsjI+PC6xmfHxcbHDNzc3o7e1FOp0W9wAZC7wOb7vt\nNnn46XQ6uFwuOJ1OFBQUIBQKYWRkRNZQ/NnoIuF7z5hpThxZpNINcu7cOcF9U9DJAoiY3ry8PKRS\nKTn3yKr45Cc/KaK/0tJSwRG73W7U1tZKM8S1CW1+2dnZSKfT8nlXVVWJY4DY4sXFRbhcLuh0OlmZ\nms1mWfkqlUp5WHq9XuTm5srnxgkAaa6c7LBYZzaASqUSkaRKpZKCmlMErm2mp6fFucNEURbE/Jyp\nEVleXhY3hEajAQB5xgDA5s2b5UEej8dx8OBB7N27V1D7NTU10rD5fD7hdeTk5KCxsVEKVk4iyV7h\nFEun0+HP/uzP+Oz7dxcFv59Ypf/Nl0KheEihUHQrFIq0QqHY9j/5c4cVCkWfQqEYVCgUf3nT79sU\nCsVJhUIxoFAofq1QKKy/7Ws4HA6UlJRgZmYGOTk5qKyshEqlwmc/+1lkZWXhscceE/yrzWaD1WqV\nw8xisSAnJwfl5eWi2F5dXUVTU5N0CpFIBC+//LII0W5m4NOloNfrkZWVJVVqbm4uNm3aBLVaLcJD\nesZvu+02mQ5cvXoVfX19st92u90YGRkBACHVTU1NwWaz4Y/+6I+Qm5sr1WwmkxFgB9G3Go0G58+f\nl32uVquVIKJXXnkFL7zwAt566y2Mjo6K7YVKZUKRmJSWyWTg9/sFYlRaWiqHMdcNer0ec3NzaG5u\nlpzziYkJzM/PI5FI4L333pPJy/Xr1xEOh2WP39/fj6GhIcGiktRHu6DdbhfLX0NDg3RE9Frz4cA9\nHmOP+aArLS0Vex5V3dzldXd3Y21tDVarFTabDRaLBbt374bFYkF3dzcuXLiApaUlnDx5Eo8//riA\nbShi45SJGov8/Hwkk0m43W689tprOHHiBMLhMCYmJvDAAw/ICNxkMgngxuVy4ZVXXsEzzzwDAELC\nW19fF3cHd6ek4p0+fRrPP/88lpeXMTg4iNOnT0sHSiGZ2WwWbUtFRYV08Vwf+f1+HDx4EBaLBZlM\nBi0tLfjggw9EZOt0OrG8vIzKykqhVDY3N0sRd/N0ieIw2rVoI7v77rtRWloqFrDR0VERorIg5AjY\n4XDIbre7u1uKwry8PFgsFtHypNNpbNmyRZJFdTod3G43srKyUF9fj4KCAuh0OkEHx2IxTExMIBqN\n4tlnn0VPT4/oIRQKBQ4fPoy1tTUAN/j5q6urEjJWXl4uY23SFkn55CSHgCKDwYCjR48ikUhI10hx\nHy1l3HOT8T85OYkTJ06IpXh5eRnBYFBQ5mMfhvPs27dPcjbq6upQVFQEl8sFl8uFw4cPS+F+sy6G\nkdpXr16VUfrIyIh0szabDffccw+mpqZE9AwA8Xgcq6urAvyiTqikpASFhYV45JFHsGnTJpkiFhcX\nY9OmTbj99tslmInvf3Z2Nux2O1QqFYaGhkT03dXVBbfbjZ6eHpw/f17E14x2T6VScDqd2LZtG2w2\nm1wnRGvTgWE0GjExMYGuri7R5jz22GMyXWRRybOPq0jCvxjKRY4IAJSWlqKyshKJRAJWqxVKpRLF\nxcXIyclBTk6OBHcRKR6NRhEMBsWmzryHrq4u+XPEzFNb9Pbbb+PcuXMy6SJfQaFQ4OrVqyIC5vNk\nZGQEFy9eRCAQEOT17+P1vx2d/Ht6dQK4H8APftsfUCgUKgD/COAAgEkAVxQKxeuZTKYXwH8DcDKT\nyTz5YbHw3z783//wevzxx1FaWor+/n68/PLLwsN+7rnnoNPp8N5770mHRKwmO52tW7fK7rC3t/eW\nw2t2dlZGoQT+cHx8+PBh9Pb2Yn5+Xjo8imVoZ/L7/XKAFhcXi8CHHH6OiQCI3z83NxdmsxnLy8uS\nDMbx1WuvvYZ4PI5Dhw7Jg/zAgQO4cOGCqIcpBvJ4PAAgDwKXy4VYLCZiFuYjUOTGgzeTySA/Px8b\nGxuyr969ezcuX74Mq9UKnU4nN5fD4RBXxtzcnNDdgBsPzV//+tciVvJ4PFhZWZGu6+mnn8amTZuw\nsLCAjo4OBINBJBIJDA4OoqCg4BaPsc/nQ19fH4AbD6F77rkHy8vL4q1XKBTy87CCZ9ohd60cgzMn\nI5VKyftAq2pXVxf+9m//Fl1dXTKJ4EHNEa/ZbEZOTg6AG7wFpVKJ1tZWJBIJ7Nq1C0eOHMErr7wC\ns9mM9fV1BAIBydDgoUsbaCKRwPT0tICfEokEQqEQFhcXb0F319TUoLu7GxsbG9i7dy+mpqbw1FNP\n4fr163jppZegVqtRWVmJjo4O/Pmf/zmsViu++MUvYmBgAMXFxYIJ1mg0qK+vRzAYlMPR7/dLzgS1\nGXxo8oGZl5cnHWYoFBK0Nz9rKuo5lejp6cHXvvY12Gw2xONxeL1esVcajUbp6nnocs8OQAKwOjs7\npfDQarWi/yA0rKioCA8//DD27NmDL33pS5Jy2tfXB6/Xi5mZGRw8eBCpVAqHDh3CpUuXMDw8jHg8\nDrvdLg8Gsgwopq2rq8PnP/95rK6uSlIkOQsKhQJerxezs7MyItfpdKipqcHly5dFe3Hp0iWo1Wph\nMqTTaVitVmQyGTQ0NAhSnHqjvr4+OJ1OgY5x1cmCOxKJyFrk6tWromv6xS9+AQCyMszPzxfGwObN\nm9HW1oa77roLfX19InokjbK5uVmmDIxuXl9fl0RQngW08tFpw5CiQCCAvr4+PPDAA/JAMxgM8oBj\n0qNGoxF+xfz8PLKzs3H69GlsbGygoqJC8jf27t2LtrY2mfz5/X5sbGzg6tWrMs2hnsftdsuUi9Os\n6elpnDp1CgqFQoLYXC6XaMgoUqbrh39Pg8EAo9EIr9crqwuVSoXCwkIhE/LnXl5eFtvupk2bRHRe\nV1eH0dFREVaeO3cOi4uLsFgs2LZtG/bt24eTJ0+KQyeZTKK6uhoWiwUHDx7EyZMnYbVaodFoMDk5\nKYUVw8lcLheGhoZkvfr7cB/8pxQFmUymD8D/6offAWAok8mMffhnXwTwEQC9AI7hQ6ASgJ8AOIPf\nUhRUV1fj1KlTuOOOO/D6668LcpPwGe4AXS6XdKx88FHMQZa4UqmE3W5HeXk5xsfH4ff7pWPlyLys\nrAwWiwVf/OIX8ZOf/ESoZNyDswAxGAxYXFzExYsX5WBwuVyiWqX6ljfB+vo6nnjiCemYTp48KePc\nZDIp/l6m4W3fvh1jY2PweDwYGBhAIpGQsRjpbwxvKikpwejoKPx+P65du4bs7GwAkJEsu4NEIiEP\nRHaFZ8+ehdPpRGtrq9i7iJDme0x/PBPi7HY7rFarZEfccccd+Jd/+Rfcf//9+OCDDwSVTCT19PS0\nJDAODw+jtLQUq6uryM3NFaiS0WgULPHVq1flUOXunKx2+pdpL6yursbp06fl6xGqRDHeysoK9Ho9\nysvLsbi4iC1btuD8+fMStxwMBjEwMCD2Ov55aj8AoKOjA5s2bcKTTz6JtbU1ATqxEIvFYqI5eeCB\nB7C4uIjt27fjpZdewsDAALxeL95//30UFxeL+NVut0v6ptVqhdFoxKOPPorvfe976O7uxs9+9jME\ng0GUlJSIAO/tt99GUVERqqurMTs7i507d2J9fR09PT0oLCzE8PAwZmZm5DDlCiwrKwuxWAwOhwNj\nHwbPpFIpVFVVYWJiAmazWaKzgRv6EwrluJrhg533Pffu/f39GBwcFMoirbbsXCnGpMj0n//5n6VY\nLigokCwSs9mM0dFRxGIx4V/Q3VJeXi56A5/PB7PZjMOHD+Ppp58W9oXJZEJFRQUGBwexd+9eXLt2\nTdDOWq0W1dXVSKVSePLJJ2V8S188x9aDg4OyniLUSaFQiMiX60Sr1SpOlr1796K2thavv/66aJH4\nvvF9oeuJgjb+vSYnJwWZS1FtNBpFQ0ODFNIAoFar8ZnPfAbvvvuu+O85+dDpdBK/TIsmPyuO3zc2\nNrB582aZ2LBhoHizuLgY7e3t6OvrE1eGxWLBzMwMOjs75TwjzpfOp0QiAb/fD61Wi/HxceTk5IhQ\ncNu2baitrZXpHc+s/fv3y3Ojv79f6IIUXXLlRIIg0wmHh4cF8qNQKFBaWorOzk4UFRWhv79fqI5q\ntVqmqMvLy3jjjTcA3Gg4enp6kJWVJXotp9OJtbU1eL1e0YXRssxJ0vj4uDxPvv71r0uoEXM6eJ3z\nfWUTxgAkhq7p9XppJrdu3YoTJ05ArVbDbrejp6dHRMa/j9d/1qTg3/LKAxC46ddBAI0f/rM7k8nM\nfPjPMwDcv+2LvPnmm+jv70d1dTWmpqZgMBjEAkdfNq1a3HsNDw/L6IzOA3aCAKT7owWL3eja2pqM\nGk+ePCkP+/n5edjtduh0OvEWX79+HYWFhYLj5cE9PDyMUCiET33qUxKt6fP50NiaBcoAACAASURB\nVNnZiV/+8pe3jK98Ph+eeOIJRKNRPPfcc3j00UexsLAgICKLxSJjLaYH8tClWMVsNsPr9SKdTuPN\nN98EcOPQ5nhzeHgYAEQIxxfJbKSlcT+eyWRgs9mg0+lEtDQ0NCRWwEwmg8rKSkxPT2N8fBxutxvP\nPvsstFot3nrrLczNzUGlUuGNN96Q9MexsTEolUohChLNq1QqxRJK+1pNTY0ww61Wq3QhtbW1aGpq\nwrPPPgu1Wo2dO3diZWUF+/fvR29vL8LhsNg6mXvBz3ZjYwOjo6M4deqUAGvMZjMeeeQRfPOb3xRb\nZVFRkYTtkLpH7sClS5eEusawKor02M1ZLBYp1Jg9wcKMMby5ubmSxMhDmaK85557TvIYyHHQaDS4\ndu0aSktLMTg4iHg8DqfTCZPJJFhpq9WKj3/84/jpT38qqyyv1ysuGVq/yKTg5IB6mcHBQWHHBwIB\nbNmyRdZb/DMEKpGGCECcBQaDAVlZWSgqKpIAGDpSNBqN3K+ZTEbSQqltSCaTonEh48BgMODkyZMY\nGBgQ3Q1FwMPDw9i8eTNeeukljI2NIZFIYHJyElqtFkajUYBUdXV1OHPmDFQqlRAombbJf3a73ZiZ\nmZEdMT9PquQTiQTa29ul0+MOW6PRoLOzEzqdDu+88w5ee+01rK+v4/r16zJZ49SIVmmOyN1uN65d\nuybaKO7I+c8bGxs4efIk4vG4XB8UpjK+mHju1tZWHD16FAMDA7IevHr1KvLz8xGLxaDT6ZBOpzE8\nPIz19XVZD1D57/f7MTExgTNnziCdTuOb3/wmPv3pTyMUCuHo0aPYvXs3wuEwRkdHoVKpoNPpEAgE\n5L4mJ4VU1/n5eQSDQXi9Xrz66qu4dOmShD+ZzWZMTU1hbGwMo6OjMJvNMi53u93Iz88XRggbPRaz\nvGdXV1clFCoej8taj7ZL3rc+n09szbQ28xygNTqdTqOjowPpdBqBQAD9/f1i2yZymfwZdvn/+I//\niK1bt+LKlStYW1vDa6+9hitXrsiaVqlUivV8ZGRE9FCnTp0SEblSqUQkErmlUKQeiPfV7/r6DysK\nFArFSQCe3/CvvpHJZH71b/gSmf//l/wNv4dMJpNRKBT/w+/z9cMf/lDsJplMBgcPHhQk6uLiIn70\nox9JhVlWVgaHw4HV1VUZ6fPN9vl8AmqZmJiAx+PByMgIfD6fePsBYGxsTHb45IKTB2AymcTuV19f\nj4WFBeTk5CAej8uYkPal5uZm9PT0oLS0VAhoWVlZCIVC8vWJV+7s7BQUp1KplLhl/mzslqhGv3ka\nQZuTTqeTnaLJZBL7DW8eemhNJhOqq6vR3t6OpaUllJaWYmhoSPLL2dH39fWJbQm4MZKnopsPOYvF\nIqyDrVu3QqvV4o033pADj9kBPBz37t2LCxcuiGDI7XZj9+7d8vfWarWCYc7NzcWRI0dw8eJFtLe3\nQ6VSYdeuXWhtbcWePXsQCARkVP7QQw/hBz/4gex6OSany4NCS3qdGUH9wgsviFOAgslQKIT6+np4\nPB4hve3cuRPPP/88PvKRj2BwcBB2u10sjNRIlJWVCVCmu7sbVVVVkm4XiURw9OhRCcthlC3Hz2Mf\npva9//778Pv9Ym3SaDSSV/DHf/zHmJmZwb59+3D06FH09fWhs7MTd911l2gszGYzqqqqMDY2hsLC\nQvG6s3vhZ0LRVm1trYBlbganjIyMyMGp1+uxsbGB7OxsibYlEY/73I2NDSQSiVssvzy4Sfrj947F\nYrJ+IZ7bYDBg06ZNuHTpElQqFUZGRmR6otPpYDabcf78ebjdbsF/t7W1wePxCE1yZWVFmPunTp2C\n3++HWq1GTU2NdGKMz62srJTrm8UamwGDwYC1tTU4nU7MzMyIvZbvDzUFN1Mb+eDhPXDp0iUhg7KY\nSqVSMv2gaj2ZTIrFFoC4cThG5v55cXFRhL50CQA3bKaFhYVS7FDfQy5IJnMjavn69euIx+Po6emR\nNdz169cB3Ai8GvswM4XwN557Op1OJgBU7L/33nsSLU/4Gn9WCgk/9alP4dy5c2KxJvmP7icSWaPR\nKHw+HzKZDIqKiiSbIBKJyGg9nU7LWo9iSofDgcHBQeTn50snztA6/qx0dXBNxhUDr82b/x0nwBqN\nRj6TeDwuwvWxsTFkMhmcOnUKpaWlIu5ubGzE9u3b8cwzz8j1zdA7i8Ui4DGeC3fddRc6OztRUVGB\n4uJizMzMyJSEIurjx/9d2sJbXv9hRUEmkzn4O36JSQAFN/06/8PfA4AZhULhyWQy0wqFIhfA7G/7\nIlSMR6NRZGdnIxaLicVqZmYGdrsdlZWVskemICcnJwfRaBS9vb0CD2JITG9vryR+MUSHHTyBJoSu\nkIZI4hQV0bOzs2KLA24IB6lvIC6W9kle2OwwycSfmJhAdna2+NqzsrJQUFCARCIhSWnHjh3D0tIS\nXnzxRdm5jX2Y0EVeQygUEj88bY70Iut0OmzdulUENExApA+Xtqzl5WVh4Ov1emEH3HbbbTJC5WGW\nn58Ps9mMiooK6TruuusuzMzMQK/X4/Lly4hGo5JUNzExgaGhIRFvkYjW2NgIl8uF8fFxnDlzRrqp\nrKwsVFdXi0uB3ezf//3fo7GxUZjxPT09Yp3jlGNlZUUKg6ysLBQWFqKjo0NGgkQQ6/V6sYhyLbO+\nvi5BUyTmRSIRIT+eOnVKkMuFhYUSjGI2m3Ho0CHMzs7i8uXLgsKlLsFsNuPIkSP44Q9/KOPI3t5e\nEYzRU+3xePCnf/qnGB4eRl5eHkZGRhCJRDA5OYne3l4Eg0F0dnbi5ZdfxsLCAsbHxzEyMoKFhQV8\n//vfF+ocH8h6vV7EZAsLCxIWBtw4JGtra2/hBhQUFIiegKl7hYWFsorJz8+Hy+USId/c3By6urqk\nOKKC3mg0SmiXw+GQjow8fa/XK0wA8iM8Hg+MRiMsFovQJrnDfvHFFzE2Nib7ZY6kqTWwWCyIxWLY\ntm2bBNxsbGxg//79uPfee/HlL39ZRLZ9fX1obGzE/v378fbbbyM7OxuPPvqoJBaywzMajaisrJS/\nu9/vx9LSEjo7O+U+LSsrE9ZHSUkJHA4HKisrBbLEtd/4+Lg8PElApe7ioYcewtWrV1FQUIDm5mZk\nZWVJ+Fd5ebms8xhaxmjr0tJSDAwM4Je//KWsApaWlgQclZubKw9GAGK/Ky4uFuAakdQkuRYWFmJ9\nfR1TU1Nwu9348Y9/DLfbDbvdjuHhYRw8eFA0Tp/97Gfxgx/8AEajUcBaPB85qers7ITL5cKOHTvE\nKcHEVkZn83tzOnMz3IcC6Wg0CoPBgOrqaly4cAEPPvggXn31VahUKqyurqK5uRlOpxMNDQ0oKysT\nYezq6qqsfmnX1ev1kpnBM724uFi+L6dFzG3RaDQoLCwEAPT09EhaKTUwvb29MuFiTgULS072CANj\nWiTR5mSmcHq1ZcsWfOtb34JSqfydioP/G9YHv01Y0AqgTKFQ+AGEAHwMwCMf/rvXAfwRgL/78P9/\n+du+OMc4dXV1eOaZZ8ST/fTTT8NgMMiOmXGbrLpaW1tl9xyPxzE4OIi8vDwEAgHYbDaEw2HEYjFU\nVlZKV0Yr1f3334+qqio89dRTIiriAe33+7G2tobKykqsrq6ipaUFer0eHo8HDocDs7Oz8uDJZDK4\ncuUKBgcHMTs7i8HBQXn40s/+13/91ygoKIBSqcTZs2eFgTA1NSUApUAgIKMyPtALCwuh1+vF7sfC\ng+mBXq9XfOzd3d3YuXMnSktLZYcKQLqf0tJSSdSbnZ2F2WyGQqEQEIrdbpf9JnfNjzzyCBQKBX7+\n85+jt7cXv/zlL2WczdG90WjEiy++KECcn/zkJ5IkmE6n8cwzz8Biscgontap4eFhYd9zOsLRfjgc\nhsfjkVHg/Pw8zp07J9MSl8uFY8eO4Uc/+hF0Oh08Ho+4UXiwkKq4tLQkVEGj0XiLM4CTmOLiYhQU\nFCCVSqGzs1PGifzv+Vm+8MILyMrKEpFSV1eXRBKPjo7i+vXrQsAjl4JrK449ycF4/fXXsX37dklP\nS6fT+NWvfiWHzYULFwRzTQztuXPnRBdDvcjmzZslRY5jVoKGFhcX0dHRgfLycrS2tqKkpASVlZXo\n6upCY2OjjOJramrEN75t2zZJK2TRDAC7du3Cjh07YDKZ8Ktf/QrRaFQAWFu2bMH169cloIokPnbc\nBQUF2LNnD/bs2YO+vj5xZdxsQx0eHhbVO4W8XBeFw2HpQtlJLiwsoL6+HhcvXoTP58PevXsxPz+P\nzs5O5ObmYmhoCB0dHRgdHYXVahUXDYW/paWluHz5Mnw+nxD7CJrKzs6G2WyWB1VeXp5EnFNDcfjw\nYVy5cgXt7e0wmUzIzc0VIerU1BTMZrPcr1wTNDU1YWFhQa47clSi0Sjy8vIkv8Rut2N+fh579uyB\nXq/H8PAwPvWpT+HEiROSSPrQQw8hEAjgtttuw9NPPy0PquXlZdx///0oKSnBW2+9hWAwCKVSiSNH\njuDChQtC81teXsbAwABUKhWUSqXQGP/hH/5BNB8vvvgi9Hq96JCUSqVMpZhmyiyac+fOYWpqCqur\nq5icnJRJnclkEucNoUeMmGaXzpUtUz07Oztx9epVmVZ1dXVh3759mJ+fx8MPP4yBgQFpiljA3nHH\nHbhw4QKsVqskxk5PT+ODDz6ARqORVR0Fnfy50uk0gBt8kk2bNsHhcEgBkE6nEQqFhD/CQDKn0ymr\nGyY8Tk9PY2ZmRqZEGxsbss45d+6cXA9k1vyur/8sS+L9CoUiAGAngDcVCsXbH/6+V6FQvAkAmUxm\nHcAXAbwLoAfASx86DwDgbwEcVCgUAwD2f/jr3/hqb2/HSy+9hFdffVXEODyYuL/1eDzYtm0bnnzy\nSezfv1/Qqbm5ubDb7bBYLEIIpNCK9jEeXhwrFRcXw2q1YmJiAseOHYPL5UJlZSX27NkjiXp8WM7O\nzoramhHCPp8P3/nOd6DT6TAxMSEADGJsOaYzGAyoq6vDxsYGOjo6kJubK3StoaEhDAwMoK2tDc8/\n/zwuXbqElpYWIYrxAvz2t7+N733ve0ITY6eWlZUlACE+PK5cuZGWTXpcMplEOp0W5juxxkajEXNz\nc+Ip12q1WFtbQ25urmCka2pq8N577wkHgV5yr9crCnR2okyec7vdKCgoEEALH+qRSAQ+nw9OpxP1\n9fXiG56fn8fw8LBk0S8tLYnugGEsk5OTeP3118VbzH00JwBEOdMbzPhgBrYsLi7Kjpijw6ysLGi1\nWvj9fvHkRyIR3H333SLgDIfDIhCkHoEHydzcnCQb8gDgusnlcsFkMkmXyUKIQjmVSoUf/OAHCAQC\nEr5EqA097LSTEudKGiJHyhQs1dXVyWfm8XhQXl4OABKKpVAo0NnZibNnzyKRSOD999/HG2+8genp\nabz11lsYHx/He++9h+effx6ZzI046vb2dkmaowXQ6XTC6/WK9YzAIz4k3nnnHdEM0EKqUCikq1Qq\nlejt7cWzzz6LxcVFKWjouPH5fGLVJfM/FovB6XQK62NiYkI6Y4oiz5w5g8HBQfzFX/wFnn32Wbzy\nyiuYnp7G/v37MTk5KWrz2tpaYU0w64FiX649+H3X1tak+QCAe++9F/F4XMbJgUAAzc3N6OjoQGdn\nJwDI/cEJW0VFhXBOSF+NRCKiN4rFYrL6oD6J3vu1tTURQhKWE4vFcOXKFdEeUB/EwLOHH34YJSUl\nqKmpgUqlwuXLl3Ht2jWEQiEYDAZxctHGTFFxJnMjxbKmpkY0KBMTE6LRKC4uRk1NjSRHMgiNWOGh\noSFoNBpEIhEEAgE4nU5xeZCeyaRKTgfJ8SA4iIUB6ZxjY2MoLS1FT0+P6BcqKytRVVWF4uJi/OIX\nv0B7ezuqq6tl/cqsA5vNhn379uEb3/gGdDqdrAtILKTIdmlpSQS7w8PDEpe9sLAgqbCc8rAIoJaI\nf44QNwrfaSvXaDTYt28fSkpKsGvXLtF+cYpLd9zv+vrPch/8AsAvfsPvhwDcfdOv3wbw9m/4c/O4\nYVX8X76YABaNRqXDmZubk19rtVps2rQJwWBQqjGOzKqqqjA+Pi62owceeAA///nP4fF4BLvK5EO6\nCiorKzE/P4/R0VEcOnRIhIS5ubnweDzw+Xzo7+/H+fPn4fP5ZO/3s5/9TJS7zzzzjMTxNjc3y34q\nKysLHo8H4+PjGB0dFYsO1eyLi4soLCwUwVJ5eTlmZ2fl58zPz0cqlcIDDzyAgwdvbHdMJpMAUyhu\nstvtCIfDIlRyOBySiDY9PS2pYZFIBKFQSBTMgUAAdrtdyH9PPfUUnn76acHbXr16FaWlpXj77bel\neJiamkI8HkdBQQHUajWCwSBsNhui0aio37lrO3DgAC5evCi7ayqPaeEyGAyYnJyEUqnEtWvXkEql\nZN2i0WjgcrlQUlKCnp4emM1mBAIBpFIpeL1eGQ+yACgvL0d7e7skmtG9sLi4KOCZm+2aPCh27tyJ\nt99+WzzpVIT/9//+3xGLxWQ/+vDDD+Ptt99GW1sb9Hq9vL+Dg4Po6OjA4uIitFqtPBy//e1vC1Pg\n7NmzMnGiV54obYqPGOUdiURQXl4Ot9uNnTt3orW1VaZNoVBIsLqchrDToGUuJycHmUwGu3fvFpIn\n102Tk5MyzuahzckEANGrfPSjH8UHH3wgkB+n0wmbzSZArLm5OUxMTMholVMJALcAlXjdcY2WnZ2N\nmZkZ4YPQOcLV1fLyMnp7e2UawyKXbg9maXD8Gg6H4ff7pYNjcl80GpVR/AsvvIBAICB6iZaWFni9\nXgwODsq1S9sjBal0J7FwC4fDWFhYwMsvv4yenh7YbDZ5X3NycmSlA0DeJ74vLpdLGA8ECWm1Wskv\nycrKQmdnp3SzVOU3NjZiZGREQtq4pkqlUujo6MDGxobY9E6fPi2fAVn/1D9lPkRl9/T0wOv1YmNj\nQwq6M2fOIC8vT4S6O3fuxLlz58SFw/eAzRhF0LQCclL6/vvvy9fmpGV5eVlG901NTTh//jwWFhZQ\nXl6O0dFR6bbJdWC40tTUlFwfFy9eRGNjo6zsEokEOjo6MDw8DLPZjOzsbJw/fx4ffPAB1Gq1QKFO\nnjyJTCaD5uZm6HQ6qFQqzMzMwGKxyJSmrq4O3//+9wU3zjUuNUllZWVIpVISvBWPxzEyMoKBgYFb\nskwIlHvzzTeFaBkMBiX+fWRkBENDQ/K9c3NzZbXEM+p3ff0/TzSkhfDmBD2TyYSysjKUlpbK/5qb\nmzE+Po6uri4Z7d13330Y+zB9i2sHevSLi4ul46Eqn2AQVv+8oQnMoWhmdnZWoombmppQVFSE5eVl\nPP7449JxMIeAVa9er5du3u/3w2KxoLi4WHLH77jjDiwsLMBisaC/v1+4+Yxi5kXEbiiTycDj8eDK\nlSu3WKYACPSE7HXuxmkP44OI/41WqxVhncvlQjAYFMuj3+/H3NwcGhoacPnyZRgMBoyNjeHQoUPY\ntGkT1tfX0dvbKyNOgnFyc3NFrc8unu8/w4Hi8Ti2b9+OYDAofvmZmRkJ+/nMZz4jQrzNmzejrKxM\nIom51//oRz+KeDwuAUZZWVmimGbYC2lpXBG53W7xqHN3yfd6cXFR8hSorqf9iPAeajcYscwgHQqZ\n+AAiXIi7ZKvVilAohHg8Do/HA5vNJqpkdlpEMtPbTrEecMM1Q/U495T0+9MBkJOTg2AwiMHBQdlt\np1Ip5ObmIhwOQ6/XY9euXRK5ywKqsbERGxsbotNhgBQnSxRrFhYWCixnYWFBDnqfzyc2XTI6GOVM\n/j6dLRSwchXFQi6dTt+So8DgGQbzcN3D6c/i4iKmp6fhdrsFzHTs2DERJefn5yMYDEqXH41GJSiM\nHdnNLhh2pclkEhqNBg0NDZiYmIDb7cauXbtkB3yzKHF5eRnFxcUAIKs9/l1pEaROqaCgAAcOHJAw\nMbqjeP3deeed4kTR6/WYnp6Gx+MR2ibzDYxGowC+uN6kB596AQDiUojFYhgeHkZ+fj7C4TA6OztF\nX0TXAKFkDCUjDnhyclLOwpWVFVnHkfHB3AEWRvxcuNpjqBkzM0iA5fSvvr5e1sBcHxYVFaGpqUlo\nf1whpNNpNDY2YnV1FXfccQd6e3sxMzMj7pT5+XmMj4/LtbW+vi62yOzsbOzZswdqtRrvvvuunFPU\nEt11113iwqCjbXp6GslkUqYuDodDCibaB/nneb0TEU03UzAYRH5+Pj7xiU+gra1Npk5cPTqdTsGq\nKxQKfO5zn+Oz7w+Y49/0On78+HcoeltbWxPQyxe/+EX85V/+JYaGhjA0NISvfvWrsktleAUDkZaW\nlhAIBFBZWYlYLAYA4kHmuIqriNraWtn16vV6dHZ2YmFhAUtLS/D5fFCpVDLCp7LdbDbj4sWLcLvd\nMJvNkvhGOA7xmuTKM5qYleXY2BjW19cF08qUPKKS9+3bJyr9zs5ObN++Haurq/B4PIhEIjh//ryI\nVVKp1C08bYYX8SblGFCtVovAhg/Gubk56PV65ObmSixqMBhEa2srhoeHRRhHHcLU1BTOnz8vyYm0\nYdG/TzY+D7+qqipBKDOqdGZmBktLS7K756HncrkwPDwsD/ZkMgmHw4H7778f586dkx2vwWBAe3s7\notGo4GS5xyT/gHthjugJkGG0bGVlpdicotGoeM0J9GHnSktrbm4uotEoQqEQCgoKJHOAYkUWYOyE\nmQa5traG6upqyQcgBY2WJKY3KhQKmQxRJMuHUWVlJWpraxEIBLBjxw5MT08jJycHGo0GTU1NSKVS\nuO+++0TEx1VCcXExmpqaRPhkMBgkvjuVSgl0JxAIIBKJSGHGPHuikMfGxnDHHXego6NDhL1Go1H8\n5ERMW61WSQnU6XQoKiqSiFuNRiNRwCQxhsNhCT1iAUFIGINkjEajuEp2794tlk8iskl5HBgYgMVi\nEdphOp2Wzysajcoen4KyRx55BAcPHsTY2Jh0vZx4cJq3uLiIcDiM3bt3Y3JyUsh7FDnSSaNUKuH3\n+1FXV4fp6elb1pZ2ux3xeBzz8/OYmppCNBqVmF2CrLgWmJqakp/lwIEDiEQiqKqqQkVFBRYWFmAy\nmYSOx/eIwCqTySR+eEKhqIivra2Vz6empkZshcvLyzJNzcnJkSkG9VwzMzM4duwYRkZG4HQ6pbAy\nGAxYXV1FWVkZPB4PnnjiCRQUFGB8fBwPPvggVCoVJicnYTQaEYvFsGnTJknJ5D0CAA888AA6Ozsx\nPz+PtbU1zMzMiP6KDVsqlYLdbsfRo0fR2tqKWCwmJEmz2Yxdu3bh3LlzcLlc2L9/P8rKyjA6Oopt\n27aJu4fri42NDeTl5QnLY21tDcFgUM5HitX1er0grHU6HbKyskRv5Xa7ZSJFMWZubq5ok6h1Y4ZD\nWVmZfNYs8LjaHh4eliTWj370o3z2/buLgv8bhIb/oS++2cRL0qZy+vRpjI+PY3BwEO+9957sODOZ\njNgE+UAhjpikP+61b0aHZj4M2GAl6HA4YDab8aUvfQmvvvoqLl++jMXFRXR1dSGVSqG3t1diapk+\ndv78eQkg4cicljUe7rRYlZSUoL+/H6WlpTImC4fD6O7uloodAC5dugSn0wmj0Qiz2YxYLIbbb78d\n27dvF7sMISgcySsUN0JVPv7xj6O1tVX2YjabDZOTk/KwiEQi2L9/P9bW1nD58mV5ODY0NKClpUVC\nRHiwsoNiTPDNoht21DqdDg0NDWLj4YG+Y8cOGXVzzULmRG1tLUpKStDd3S2uBtrXSktLEQgE0N7e\njlgshqtXr8Llcsl0gCsAeq7pKSbNjoXM5s2bxaNPyMn+/fsxPj4uu25axqiRoGCJ3TiLChYWPBQA\nyOFP/z0jb9mJLC8vi4eeoqLp6Wnk5eWhqKgIhYWFovq32Wyi3E4kEigsLJQpUjgcRkVFBdra2oSo\nSRtaMpnEXXfdhcHBQbS0tMBms8HtduPLX/4yXnjhBdTX14v3msI3rVaLqakpPPTQQzh//rwgqsPh\nMLKzs2U/DdwYH3d2dsq0jOmXtCU2NTWhvb0do6Ojt6Qi1tTUCDqaI/Samhq0trYCgHTq2dnZMBqN\nKC4ulhEtY9J7enqkmEgkEnA4HPD5fMIX4RTRYrGIBZAPH2aKcDVDsWgmk8GvfvUrWRHyMOcUr6ur\nSzpv5lpcuHABY2NjyM/Pl8mY2+1GW1sbNjY2sHv3brm+9Hq9rNecTifcbrdMObiKIItkYWEBoVAI\nbrcbxcXF4oLYvXs3hoeH5V7UarXIzc3F4cOH8fzzzyMrKwuRSAR6vR7JZFKug8nJSej1ekHo0sbJ\nRM2RkRE4HA5xXxG8Fo/H4XA4oFKpMDg4CJ/Ph42NDdnfV1ZW4rXXXpMkxI2NDUldJZPAarXi1KlT\nt6xMAODMmTOw2WwoLCwU6+rs7CwOHz6MEydOID8/H+Pj48jNzcXWrVtFH6DT6XD+/HlotVr80z/9\nEzKZjFhiOXlsa2uTbJvR0VERelMfpdFocP36dTQ0NCArKwtbt27F3r170dHRIYUAGwWuQVQqFSYm\nJoTZotFoEI1GUVBQIFZQQvHouGDhu7GxIRNkANi9ezcuXLggTRpXhmMfRpvTQv/7IBr+Pz8pACAQ\nmNnZWeTk5GDr1q2w2Wy3hBVRnKfVanHgwAFMT09jaWlJRrYOh0OQrOxWl5aWbmGEM9eeKu3BwUFc\nvHgRg4ODMBgMCAaDklxG2t/Kygpqamqwf/9+DA8PC8mQIjCTyYR9+/bJTUD06dzcHAKBALxeL9Rq\nNcbHx7G+vi4+XeYCGAwGZGdno7CwULCcvb29ePfdd/H++++jv79f1PJ6vR6HDh3CyMgIGhsbsbKy\ngvz8fFy6dAmFhYUyFSkoKIDD4YDT6cS3vvUtvPPOO5iamgJwA8lMKx1Hb8vLy6ioqJDRLlcMtJkB\nwEMPPSRJlExaY+XPkBwKi6hmz8/Pl+AQMsM1Go04LzQajRQyWq0WY2Nj032guAAAIABJREFUsNls\nglxlAmM6nUZlZSUikYhkUiSTSezcuRPd3d1iUWPGfE5OjnSM3IuTZsaHLFcxVLtnMhlJ6bTZbHC5\nXPJ3YhGm1WrhcrlE18JgK6a6sRhbWlpCJBLB8vIyqquroVQqZcxrt9vx2c9+Fs3NzRIuw3XQysoK\n6urqcO+99+LXv/61wF/C4bB4/oEbYUgbGxvywOno6MD4+DguXLiAa9euIRAIiOvC5XJJUdXa2iqh\nVJFIRNYXMzMzaG9vF5sgADk0qQxnmuDNYWLMLlhfXxcxlUJxI2xqZWVF1iDskik+pJWX1xjFfR6P\nR0h64XBY2BqRSAT19fVob28HAOTm5gpSNj8/X9w9O3fuFGcCI8s5meD0LTc3F6Wlpdi/fz9GRkak\nQWCuA0PTeB7k5OTIlJFrt9nZWQF+cWJCG/PAwABcLpfoSShAMxqNQg1kAV1SUiKQpZsBT1NTU2hp\naUFHRwcAyH1NkZ7X60Vpaalgz2+2Jy4vL4sNlZZACq/ZHPl8Pil4mP9CiBBXCpyscf0yMTGB1tZW\nnD17VtIZJycn5Z6Kx+PYsmWLTFuXl5flAUk2CaPijxw5ArPZjK6uLmzZsgWJRAI9PT2SVZCVlQWV\nSoXZ2RtOdsYTs4HRarWIRCLijGC+BVeEWVlZePjhh4Un0dfXh507d0KtVotAlFqXkZGRW0LM+HW5\nnuWUR6PRYOvWrULIZYSz2WzG4OAgXC6X6BFunj4vLCzIGqOoqAh333238Ar+sD74DS+uDzjWValU\nuO+++9DU1IShoSGcOXMGGo0Gg4OD8Hq9CAQCKCgowBe+8AURWX3961/HiRMnJDFLrVaL8pPjxJKS\nEtm/UqAyOzsroSChUEjGeXxg3EzaYhXIcerNimOTyYSvfe1rmJqagsPhgF6vF9zy7OwsSkpKUF9f\nj+7ubjncM5mM5CSQ4kZlPGFGc3NzqKmpwfT0NLKysmS8feedd0o6GulmZIxzP8aDmQUAR+Xcu1IL\nwD019RgGg0EOJU5ByHFgRnpZWZkEyZD2p9PpsLa2JnoNxo9Go1EUFRXJ4bi+vo49e/bI321oaEj4\nC9zr84AuLi5GcXExwuEwjhw5ggcffFDgLGT1LywsIBwOi66jtLRU2Ag6nU5oisyFpwo6Ly8PH/vY\nx+B0OmWcTORtIBBAT08Ppqam5P0jFlmv16Ourk66UXZSmUwGTqcTarUaZWVlWF1dFQiSWq0Wrj3d\nLA0NDWhra5Nrjp05x+PhcBiTk5Pwer2CSyYZkfbPeDwukzR2pJwScaxNkBU/L0KLeJASx0vHD/9/\ndHQUSqUSVVVVMsadmZlBX1+fHHwAJLmOHnSLxYLt27djcHAQSqUS4XAYmUwG1dXVEjPLPfmePXvw\n5ptvytqA7BEmX66uroq4MRgMynSC0c1DQ0MiopuZmUFJSQmKi4tx7do1KJVKHDt2TFZ8N0OUuHJg\nDO/y8jLKysoQCoXQ09Mj0w4WTMxY4DicD4lQKCT6DwpZOQkhbZRixpsx5HxAqFQqPPLIIzh37hyU\nSiXOnz+PlZUVofWxYGpqahII2vT0tGhkKGAsLy9HYWEhNBqN/PvCwkLYbDYkk0kRdfK652fO85Dv\nezqdhs/nQyAQwNraGvLy8iQ1k4F1NpsN9fX1goOmMNRsNkOn06GpqQlarRZtbW1wu90y6WFGAYW4\nsVgMGo0GgUBApmNctxmNRtENMJ+DeiWKuJllo1arMTMzI/e11+uVQLzu7m6Mj48LXM3n84n+jGcN\nz3iufrxeL/Ly8qQw5OovHA6Lbo0sjKmpKQwNDYmTraWlRazaFEUT0sT8C9rhP3z2/WF98NtetNlx\nBBcKhfDUU09hdHRUxtcmkwlbtmzBlStXEAwGceLECQGcfPOb3xSgDT383d3dUg1TyMaRdlZWFkwm\nk9wQ7e3tgptl+iEpVNnZ2Zifn8dbb70lBxfZCEVFRYjFYohGo/jKV76CZDIJk8mEeDwuh246nUZL\nSws6OzuFnkYOO+2TzG2ora1FR0eHRObqdDoBufD9MRgM+Ku/+is5cCORCC5duoTNmzfLCI03ITGi\nBG7s2LFDvPcUf42MjKCyslJGlIyC5UOGBzjH46yc7733XnzpS1/CV7/6VYkYDYfDyM/Px6uvvirC\nxtXVVVRXV6O/vx95eXmYnp5GQ0ODUPZqamowMDAgxcrGxoaMX5eWlnD58mU4HA7Zc7ND4YHNCFYG\nJXGPHolEpEPnuLa3txd79+4Vj/Vbb70FAJL6aLPZsL6+jh07duDUqVPQaDSiIyFmNplMQq/Xy/SH\nncrk5CRWV1exsbGBd955RwAvbrcbarUa3d3dUhTF43F897vflRF3QUEBVCqV2BIVCgX27dsn0bpL\nS0vw+/1i0yImm5Mjh8OBu+66Cz09PcjOzoZKpcK2bdvw7rvvwm63o6KiAh988AFOnTolICsegnRQ\nkA/PKQJTKbOysoSFodVqJXGTgrv77rtPWAiTk5NwOBwyOVpdXRXQUTAYFIHo+vq6XGtLS0u3UBG5\nShkZGRGoDe1wvB5p2aNjYGRkRBI+T506JdfHD3/4Qyl8acEjW6OiogJDQ0PCkCgqKkJvb688lAi/\n4uTk0KFDCIVCAga777778IUvfEHyHPi5sRjr7++XKZDJZEJ5eblcp1/5yldw/PhxOBwO1NbWYseO\nHQCADz74QOiHly5dwsbGhkC7yHEJBoPw+XwIBoNSAHLVRUAa9TYajQZ33nmnrCVtNhueeuopibzO\nyckR4BUj1+12u5xjPB+VSqU0FBR+Mp4cgLxPWq0W/f39InJkOBijiUmjTKfTGBwclAlgd3c37Ha7\nTN3YULlcLvT390Ov14s9lxPWsbEx5OXlyUqYY/3NmzdjaGhIrsVgMCjNjcPhkJ9henoalZWVUthw\nkkysu8PhEOsrgVwE57W1tcm1HY1G0dXVJUUy7Zezs7Pwer0i0mQKKJ91f1gf/E9ex48f/w47NABo\naGhAR0cHhoaGsL6+jqefflqKgq997Wv48Y9/LPhgvuHXr1+XsZrRaEROTg5mZmakymROO29Y7l3p\nW2dFp9PpoFar5aDkrjyZTGLLli147LHHxAb43e9+F7m5uQKpIReboJMdO3ZAr9cjEonA4XBg9+7d\n6OnpwcbGhmgD6BLg6DkcDsNut6OwsFAwwpxs8CZ3u91CDCwuLsbCwgIaGhpw5MgRAJAD/+jRozh3\n7px4hlUqlfin29vb5ftyZEl6msPhgEKhwIEDB+ByuSRYiYKa2dlZSYCrqKjAm2++iQMHDkCv10uG\nAZMSnU6ndM39/f2yQpmbm5MHN/3cLFZYTVOFnJ+fL7ZEpmBS8Md0OIr/2DHy4bJnzx7pcnhY6HQ6\ntLe3o6SkRJDOJFdyekNSJsffXDeR+08K3tLSknjdOTrnAWy326FQKKBSqeQA556UfnOF4kZqH4WS\nu3btwtWrV0Ug19bWJpCUT3/602hubsbk5KTYrbgbpk2R9E1a+yYnJ+F0OqFUKhGLxVBVVSVFqdls\nlp0pu3wGC0WjUWEJcDLBe4L5I1brjST0Xbt2YXx8HEeOHMH4+DisVqsUJ2TkK5VKHDp0SO5j7oLp\nsuF1Tb0ArYec6HG8vbGxIR3v7bffjqWlJbEaT01NISsrS3bl+fn5t+iOuAOmrY8wsEgkIrAbAop8\nPp8gs1m0ESf9jW98A7/+9a8xOzuL5uZmsW9ytK/T6TA7O4twOCxR7XxvOeXIzs5GV1cXJicn8fDD\nD6OlpQWjo6MSJW21WtHd3Y3a2lpxr9BTH41GkZubi4mJCSQSCUmHXFxchNlsxsTEhDwo/X6/EP9m\nZ2cxPT2NtrY2LC4uStDSysoKjEYj/H6/aC5oR1xaWhJHCJX0JpMJjz/+ODweD3p6emSNV1JSgpKS\nEqTTaSnoFAoFGhoasLy8jKamJqyurqK0tFTsecREc7Ko0WhkAjI5OYm5uTmZUvJa4fXBqR3Pt9ra\nWrFksllkMNLGxo0o+bm5OXHacBLMcDFaLldXV2+h5hIFzsIiJydH4u4p8iTQTa1Wi/Cd5wJwQ8fk\n9/tRXFwMhUKBvXv38tn3h/XBb3odP378OyaTSapXAmiocnY4HDh79iyGhoYQCoVw8eJFoUXRRkOf\nOtXn9Bi7XC5R8HKE5HA4UF9fj127dqG7u1v8xisrK4KrtNls8j3YaU9MTGBmZgYTExNoamqCx+OR\n3S0FaBaLRQAsvMApVHE6nUL24i6WkczsSnjzkeg3NTUlOgWdTofa2lqcOHECbW1t8Hq9clCura1h\n69atCIVCOHDgAM6dOydx0slkEps3b8bKygqmp6dFd8A9qN/vx549e9De3i4PN6fTKXkKXN1UVVVh\nampKKn0exGNjY9IlXrhwAXNzc1Ic8EHIEerk5KRoQOhrXltbQ29vL1KpFLRaLXJycjA/Py9WsGg0\nKpCj4eFhGfdxH8jCkDHRfEDGYjHU19eLvzk3NxenT5++hf5HSxgfFJyw8PeIYiXSlx1sJpORDoYa\nifz8fOmOyZGoqqoSG108HkdDQwMUCoV08ysrK1hYWMDAwACmp6clwMtkMslBRL99bW2tOD2OHTsG\n4EaM+JYtW2AymXD//fdj165dCIVC8Pv9uH79uhRvBGYxutVkMokGhCNwjkUVCoUI0gjToVo9kUgg\nHo9LAby+vi6+7NbWVkSjUYyOjormJB6Pi5PiM5/5DKLRqBTitOOSucBrOZPJYHR09JYzgFn3sVhM\npl+8FnJycjA2NiaMewY9GQwG/N3f/Z1oIZhpwt352tqa/AzT09Po7u6WaRjXe3q9XoS1zDuprq7G\nwMAAent7MT4+jvHxcdFk8CFCINbGxoa4cMbHx2W9dvbsWUSjUczOzqK7uxsXLlyQ+1yhUOD06dPQ\naDSoq6sTEBadO1lZWaiqqkIoFPr/2HvzqLbvO+/3LTYJEAItCIRASIDEvokdzGaw8Ro7axvH6ZIm\nM5Npm0zPnK7TTif5o+f2THvOTM6dnky3mcm0zebEaRwv2I4B2xCzGDBGCCEEWhAICSQWIbMIuH+k\nn89Nnts+z3Nv57lz75zyT44TIrPo9/1+lvf79UZUVBSSk5P5Is3Ozsbc3BxiYmJw4MABrK2toba2\nFk1NTXC5XJyzsry8DK/Xi0AgwIyG+vp6ttLW1tZyoI9AIEB6ejpkMhkyMjLgdruZNri8vPypAoVc\nW+SQUCgUKCsrY6dSQUEBI6JJ6yGRSBAVFcUT3NXVVQZvUTBZc3MzlpaWkJWVhfLyckZlJyQkoK2t\nDVNTUzAajQgEAnA6nVwIzs3NMcSMLMoA+IwuLy9HKBRCR0cHr+fI9kxuD/raaK1Gq9j19XUWstLK\nmATJxGIg0TKt9RYXFxEKhfD444/T3fenouD3fbz00kt/J5PJmGim1Wp5XxcZGQmJRIKcnJxPqbk9\nHg+cTicHZFA3SzTB+fl55OXl4bHHHuNdsd/vR3p6OioqKjilb2pqisdANKkQCARobGzkVUJWVhaq\nq6s5U5xUpS6XCx999BHcbjcL2AjCRJf4/v4+A1hopAmAvatCoZDhHwQdUavVOHz4MO/m6RJJTExE\nbW0t2tvbObCkt7cXJSUlMJlMvC9PSUlhsd3p06fhdDqRlJTEgSjf//73eQS2s7PDI7yBgQH+Hra2\ntuDz+RhVurS0hCNHjiAQCLBFaXV1FbW1tZidnYXBYIBEIkFvby+ruIVCISNu/X4/IiMjEQgEuAum\n4B26aCjHgMaSJFCipEAKOiKnB3X1S0tLDMVRKBT43Oc+h7Nnz6KzsxMPHjxgSMzt27e58yBhG/Cx\nwLWkpISrfRJoxcTEIDIyEnK5nIslvV4PtVqNiooKREdH4+TJk6zw/ou/+Avk5eVBrVYjJiYGZ8+e\nxQsvvIDh4WF88YtfRH9/P0pLS+H3+1FSUoKkpCQew2o0GsjlcpSUlLA7weFwfGrdNDIyws4OsrkS\nmY5ClZxOJxYWFiASiTgMh6A0dMjS87C5ucljb1LSx8bGsjXW7/dzHjwVqSSE3NzcZIomCVH1ej0W\nFxcxMzPDrh96PbIKulwujpcliyl1tSRQpAKAYE0AuPunXT/hgMvKylBWVsa0S6JOxsXFQaFQsKvA\n4XAw7ZES7hQKBRobGxEIBFBWVsZ8Euo28/PzIRKJuBiiVUVPTw9bKT+Jz42NjcXOzg7S09PR3NyM\niIgI+Hw+fPnLX4ZCocDIyAhkMhmio6MhFAqRlpaGvLw8vuCeeOIJZGVlISUlBRMTE9BqtWhvb2eu\nBOl2yAVFwjvilDz22GMMwhIIPo4dbm5uRmdnJ2fK1NXV4dKlS1wIarVaVu9bLBYuahwOBxe3ERER\nSEtLw/T0NItMS0pKsLCwwBZxn88HqVQKtVoNiUSCAwcOYG5uDg899BAuX76MUCjE0yWHw8HicXpm\nExISkJmZyWuCvb09xpynpKRArVZjenoaCoWC9QMEB4qKioLdbuc1iM/n41URnRNUaHxyv7++vg6x\nWIydnR1UVFSgoqICHo+HtQ400aJIZbrwabpK5/fOzs6nODlEcpTJZLySOHHiBOLj46HX6yGVSnH4\n8OE/Wmj4X15TEAqFYLfbIZfL+U0ukUjQ2NgIp9PJqM7FxUVotVpsbW3xXp8uG0q+otHkysoKLly4\nwN1tXFwcUlNTWXxGcBKVSsWjt+XlZY5AraysxNTUFCYnJ3nKQNOJzMxMpnJR9anT6eByuZhARiLE\njIwMFvx9cgxKnS51NZS7DYC/flpd0AO6tbWFN998EyaTiZGyFRUVmJ2dxcjICKeRabVaBAIBvPfe\ne9jc3MS1a9dYaPXiiy9yKBFFfI6MjLB1kFDGn6QC7u/vw2azQa/X4/bt29BqtfB6vRgcHERRURHS\n09MxOjrK6xcA3NnQPtrn8yEYDEKn0yEQCCAiIoL1CllZWZibmwMARpeSP5sshDRmLCgo4ItPIpHw\nWkYkEmFxcRGzs7MYGBiARqNhC9PS0hLv6ePj4/HBBx9ArVbz4UWQnrS0NC4w5HI5tFotE8voctjc\n3MTAwAD0ej1WV1ehUCjY55ybm4vV1VUolUrMzMwwkY1U6js7O1hfX4fJZMLW1hbvs2nqQuFQ1LXQ\ne0IqlSIrKwv9/f1sz6OJidvtZmrcnTt3+DmiLo4uLrJNRUdHo6WlBaFQiEmCbrcbUqmUrbY3btxg\n0BDwsZiwpKSEL41wOIzvfe97eOWVVyCRSJCUlMTQHBK6hUIhpKamYnNzExUVFYzupoKMRrp6vZ6n\nbfHx8Ty6TUhI4JUCHaKXL1+Gw+HgtZvFYuGRsFgshkAggN1u5zVVf38/6uvrYbVa+eteXV1lC+Py\n8jJPU4xGI3w+H+x2O3Z3dzE9PY2YmBgWD9LFWlRUhMHBQSwuLvI6iBwnVChcu3aNHS1dXV1YXl7m\nAorU8Q0NDdja2sLt27f550EOiZSUFAQCAXR2dqK9vZ3zBqKiomA2mzlALhwO4/79+zz1GBsb42yH\n4eFhvphGR0cZT05NUHJyMpaWlrjoJNAZrS1pPUt8CMp1iYuLQ1VVFYaGhtiVQFoAtVrNuROEF15Y\nWOBiurS0lL+Hjz76iD+nuLgYYrEYFouFY7plMhk6OzuRlJSE8vJyDA4OYnV1lUOQaI1LF3lCQgKU\nSiUWFhbYQULWZZpKUNcuFouxtrbGhFK73Y7nnnsOg4ODXBjOz89DLpfzJGZ5eZmn2VQIUwHzyaRb\n4mqQ1owaOpFIhImJCT6j/6Qp+O98vPTSS39HZKozZ85wJ5KWlobCwkL23n8yi4DsW1KplJW91G2Q\nh7y1tZXFa3RBk6CJRowzMzM4dOgQnE4nC8PokrZYLNzJULdK+33ygZNyXa1WIzIyksfyRLmKjo7m\nCNxP7qmCwSBEIhGkUilfOPRPqtQp0ZG85NRRr62tcVxzfn4+cnJy+I2/vr6OkpIS2O12mM1mREdH\no7a2lg9Cws9qNBoWMlH4SnJyMrRaLQudMjIyIJVKkZGR8akOj/Z7hACdnZ2FxWLhgowgHjMzM1yg\nkXg0HA6zAp2EOVKpFAcPHuRJCrkNSLhEpD3aHcbFxWFpaYlHeMDHmOz6+nqOaiWu/+rqKq8G6Hcr\nk8l42lRWVoaZmRl4vV4G/wQCASQnJyMcDjOMijj/NTU1sFqt2NjYgEwmY6aEwWDAxsYGWlpa8Ktf\n/Yr97/39/Rz/7HQ6UVBQwIJOt9sNpVKJ/Px8PPPMM4iNjUVraytrBJRKJe8x29rakJiYiEOHDrHF\nkiAsAPgCpfUAra7o+6ckRVoXtbS0QKlUshWSeBsqlQrl5eUM7KJLgtDbVECQPmVsbIwvF+L3kzNi\nb28PKpUKDoeDIVxpaWkA8CkFvcFgwPr6OrKzs3l1SO6hb3/72+ju7kZlZSUqKio4kZAAXhkZGdjb\n24PL5QIA7tSIl0BTCOBj/HJHRweMRiN6e3shEAig0+n4tc6ePYvBwUFsbW0hJiYG2dnZEIvF3K2W\nlZVBr9fj8ccfR2pqKhcyAFBdXY2TJ0/C7/fDYDDw1ODQoUNsMaSJXzAYRHJyMl588UWkpaWhu7sb\noVAIhYWFKC4u5omdz+eDVquFUqlk2iORRUtKSphgGB8fz1CpjY0NaLVa5m9IpVIMDg4iEAjAZrPx\nc0NqeoKQUVIlhSPR1IYuUyIiEjqeHAnr6+u4d+8er/3IseRyubC6usrx8CKRiFM8KS2Upk5CoRAT\nExPsThkaGmKNRn9/PzeBBCeiqR0AtnGSZZ0mgUqlkleINGWie4FYJjExMXC5XFyc9/f3cxooTZyN\nRiNP6Eg8TitooVDIGHWdTgeRSMS6CHpfAGBI28DAAN8fTz31FN19/48nBf8pgUj/b34Q+552QcQZ\nGBwc5DEvVbNqtRpZWVlQq9UcSNPQ0MAMeqLXGQwGlJaW8puP0r4AcNe1sbGB69evcwiTXC6HUChk\nLgCNtClHm8ZTZFkzm8389brdbu5gaES7tbWFgYEBvgRplwmAVetE8ouPj4dWq+URY2pqKrS/C+xR\nKBTY399Ha2srd5terxdutxv/9m//xnvzqKgoTlx85plnOFPd4XAwNW5iYgKXLl2CRCJBUVERjEYj\n7z8pwpjChiYmJmAymfDgwQO4XC48ePAAMpmM8xYosdDr9aKrq4uxoSaTielz4XCYmeUkKJVKpRCL\nxTh79izi4+PR2tqKpKQk6PV6BAIBHpuTsvqFF15AbW0tVCoVvv71r6OtrY0FiVKplHfjQqEQtbW1\nUCqVyMjIQH5+PrPmKb6abKixsbFITk7moo8OQ0q8I5/09vY27yMvXLjA2hMAsNvt7MvOyclBV1cX\nPB4PBAIBR7C2tLRgbW0NUqkUS0tLGB4extTUFJPmtre3ceXKFYTDYUxPT0OpVGJ8fJy5GX6/H6+/\n/jpu3LgBi8XCFlDSPNAKaH5+HnNzc8jNzQUAFBYW8iGvVCohFot5T01WxLi4OABAc3MzoqKi4PP5\noNPp4PF4EAgEGM/r9/s5RZJWQqS7oAteKpWyNTE9PZ0LApqQCAQCjIyMcKYDJVpGRkZy99Ta2orI\nyEgOMqN/vvvuu3j//ffhdDp5NKxWq+F0OlntTUI02oGXlJSwE+jAgQP8/126dIkBXoFAAGKxGNPT\n0+jp6YHT6URcXBw8Hg/zOEjntL29je7ubrz66qtsA6biqaSkBEqlEmlpaYiOjmbsbX19PdbX1zEz\nM4MTJ05ALpfzJUWXzc7ODsLhMG7fvg2bzYZwOIyamhqUl5djf38fVqsVExMT/DvMysrC5uYmnE4n\nlpaW0N7ejoKCAqSmpjJGnHgsXV1d0Gg0OHHiBPLy8hAZGYm6ujrWgxCwa319nc8m2uMTe4DG4cDH\nIVLLy8uw2WwwmUwcf02JmcFgkCezkZGRDE2ivTwxAHZ3d3nNs729zaCgyMhI1ls5nU4AH6+OlpeX\nuQik3f7Ro0eRlZXFxTJNWRMSEjA/P4/ExEROkNRqtVCr1VhdXWUMMVmVKWU1IyODBa70Hj916hRa\nWlrQ0NCAzMxMGAwGaLVaSCQSDinb3t6GVCqFUqmETqdDU1MTWlpakJiYyJTbkydPwmAwICMjA6Wl\npf8hd+Z/+UmBXC5nkQeNh3Z3d6FUKpGcnIy1tTXMz8/D6/VCqVRCJpNx17y7u4vFxUUWZMXHx2N+\nfh43b97E0NAQd6sbGxuYn5+HzWbD5cuXMT09zTt/6g4IrkLdMlWk29vbfDiQL5vEMi0tLSgrK+OU\nsKWlJa5UaTdFXSrtwOLj4/HUU0/B4/EgPT0dKysrAD5OZJNKpezDlUgkLAYifCr5jmkkTz5a8rO7\n3W5kZ2ejoaEBExMT0Ov1TKyLjo5GUVERB5hQ5Cd18QTlCIfDOHjwIGsIYmJiUF5ejkAggL29Pc45\nEIvF0Ov1/CCqVCp+rfX1dYb40LqALl/irtN6iIqatLQ01mJQNxMOhzkQhaYsZMcjeh1ZNcmeubGx\nAYPBAJPJhM3NTR7TUyY8eZ1zcnKYYhcREcHdSHFxMcxmM1pbW3kyRayCtLQ0ToScn5/Hj3/8Y1gs\nFvbIUyG1srLCIrS+vj7uyOjvIbXzzs4O5ufn4XA4sL+/j9HRUbYaEq2ThK93795FVFQUH1y0PiOd\nQTAY5KkIIaFLS0thtVqZhxAOh5GamgqpVIq2tjYMDAygoaGBx7MKhQLj4+Nc+BAQhsJ/FhcXkZyc\nzBdiS0sLWlpa8N577/H7mfzopACnUCR6/9C/o1wFmUzGqYikFpdIJMyhCIVC+PKXv4z19XVUVlZy\ngBShjcPhMMRiMTIzM/HgwQNkZ2dzCif9zN1uN8eKS6VS5ObmMrnU7/ejv7+fO7mtrS0cPHiQw5iI\npriwsIDx8XFeZfp8PsTFxbHOx2q1Mio8Li4OMpkMTqcTLpcLR48exZ07d9ilEAwGMTw8zM+YTCbD\n008/DYfDgb//+79n5bxarcbMzAz6+/sRCASwsLAAh8PBawiDwYAQBis6AAAgAElEQVTIyEhMTk5y\nLgWtK8hxMDMzg6ioKCZkCgQCFpbSionWm/SeItgSQeUAcGQ6QY+IN0C7dSpY5HI50tPTmVViNBqZ\nukrBZ2tra+wQI2DSBx98wGtOh8OB7e1tPPfcc4iPj0dTUxOEQiFrC+Li4piAK5fL4XQ6mVhIz8fx\n48exvb2NqakpxoInJibyuomasqKiIigUCs7FIdsona87OzuYnJxEfn4+O2Q0Gg2mpqb4zIqPj8fa\n2hrq6uowMDDAYs/t7W04HA4Wq9fU1ODAgQN09/1pUvCHPtLS0pCens4+XrIokV+d4opJuOT1emGx\nWBhDa7fb+eFPSUmBXq/nKpguMEIDy+Vyngio1WoWKFVXV3Olur6+zmAT6oobGxuRkZGBRx99FM8+\n+yyT/z73uc/h5ZdfxpkzZ3gvRztV8oHTOC4hIYEpY9Rhtre3s5WO7Eek3J+YmGChFwC+ENVqNYsK\nJRIJlEolDh06xKCQtbU1vP7664iIiEBcXBxbgCjIw2g08v5Vr9cz8Y5GwLQTEwqFWFhY4EwJgrfQ\ng22z2TA2NsbKa9rHU8464UAjIyNRWlqKqqoqtLe3czceFxfHXc/KygpGRkaYeEdUvcOHD3MwFXnV\naRxJ9q/Y2Fg0NTWhoKAAYrEYjzzyCIqLi6HT6VBYWMg+9IyMDDz00EPIyclBVlYW3nrrLSwtLcFs\nNuPatWuor6/nXe7KygquXLmCiYkJjuGlw9Jms+HWrVtYW1vDc889h6tXr+LnP/85fvSjH2F7e5s7\n+JWVFV6t6HQ6pKSkoLKyktMaP9nFK5VKni6QGIomWLGxsXyh0s6VNA9isRipqaksliRFNHV9tL4h\nlbnf78f09DRKS0vR19fHu+mYmBisr6/j9u3bzOIgXHdjYyOnxUVERGB6ehq9vb2cknn16lXep1Kx\nFA5/nCVvNBqRmZmJjo4OJCYm8oVAlkClUgmNRoPjx4/j8ccfZwYBcTAOHz7M3XdJSQl2dnbY0UDf\nZ0JCArRaLdra2jigit5jhI4mGp1YLObnmYS0wMfi36985Suor6/nn1ltbS2Sk5Ph9/vR3d2N/f19\nGI3GTzURKpUKTzzxBAoKCpg3EhcXB6/XC7PZ/CmdgcVigcPhgN1uh8lkYqEz8QhIFGw2m2Gz2eBw\nOGA2m3Hq1CmGBdFKlPb3cXFxKCoqYmhWa2srIiIi+Fwj/QHpriwWC0cEk53OaDRCJBLhySefxOnT\np9HY2AixWIz09HR+5khATStbCkcjrRUVFwDYwbS1tYWtrS2ezKWmpsJoNMJgMODo0aMwGo181tfU\n1CA+Pp5DksildeXKFcTGxiI/Px9DQ0N8xqempqK8vByJiYmoq6tDRUUFRCIRWltbYTQakZKSgg8+\n+ABdXV3Q6/X8+6J1SGFhIRc9hYWFjLWmQlYoFCInJwff+MY3kJOTg4cffhh/+7d/i6qqKnZ10aQ0\nJiaG3UbLy8vY2NhAKBSC3+9nzoTH40E4HEZfX99/yJ35X35SkJqaiuLiYlRVVaGtrQ3z8/N47rnn\nMDU1haqqKg5S8Xg8kMvljJXc2tpCQkICjh49yuPP6Oho6PV6tnvt7OwgPj4ebW1tLFQ8dOgQbDYb\nk6uoM/7qV78KAJidnUVCQgLy8vIgEon4UCUUMEFlSKz1i1/8AmNjYzCbzZ8K4iAmArHJafoQDoc5\ncCkqKgr5+fkYHh6Gx+NhPChpBAicQVTAxcVFLnSeeOIJdmi0tLQgIyMDd+/ehUqlYggTAB5VUzRx\ndHQ0V9iERc3IyGAFtlgsRnFxMRYWFtjiNDc3xxad06dPs5qXpjwkvKQRM2UiULCIUqmEw+FAU1MT\nent7WcwI/J/IWlqLpKamQiKRcOWt0Wi4MNrf38fMzAzjYil1T6VS4f79+0hISOCxLVlDadWwsbHB\njpHR0VGEw2G2vjkcDqSlpbH+gzokAvEQjyI+Ph4ulwtqtRonT57k/Snt88mTvrKyAo1Gg6997Wvw\n+/04cOAAMxBMJhOvLYxGI8bHx5GWlsajeNKb0HTiO9/5DvubKXaXrLO0s9XpdFhcXOQ1Eh3m1DGS\nFoT27FVVVVhaWsLc3Bw7d+gQy8rKQmRkJGQyGR599FEcP34cJpOJxbHZ2dlsISXNh8/nQ15eHmQy\nGb9eeno6wuEwI7gpPpy0NOTnpqmPUqnElStXeLL33nvvYXx8HIFAAF6vFxMTExgbG4NEIkFhYSES\nExMxNjbGxXFubi78fj+OHz8Om83GawmpVAqXy8X78HA4jK6uLl5lEAiJ9ttkJ0tMTPwUvZQmlzTB\nodVkb28vent7WVRWWFgIn8/H0ysaX1OWCnE1hEIhP5NisRgGg4EL8djYWHR2dkImk+HZZ5+F0WjE\n5cuXceTIEXg8Hjz88MO8Pt3d3UUgEGC41+zsLCQSCXw+H4xGI9LT09He3o6lpSVsbm6y1VAqlbJ+\nZnV1FQ0NDVhYWIDL5cLKygpqa2u5UKUQOQpli4mJ+RQenIpv0sFUVVXBbDZDJpMhIiICQ0ND3HUT\nWM1qtXIRSwjxV155BT//+c9ZxLi/v4+srCzGxodCIf46yRJME5HV1VWeViYmJiI9PR02m42bPIFA\nwKszKszpOSG+A53PU1NTGBwcRGxsLAYHB/HMM88gIiIC7777LkZHR5GUlMTvE3o/UD5GdHQ05HI5\nvy8pZ4RWXV/4whfo7vuTJfH3fbz00kt/FxUVhdzcXAwNDbEHOTo6GrOzszCZTPD5fLBarRAIBKip\nqcFf//Vf4+rVq/xLPXjwIE8NZDIZq0Hpl5yRkYH09HT4/X7u3ra3t3kvSCIUqtTJHZCcnMxQkbW1\nNbjdbu7QaO86MzOD6upqVs+KRCI89NBDvFOjtDfqcKgDo4mC2+3G/Pw8OxxIkUsPREFBAWpqalBU\nVIS4uDhYLBZkZmYiJycHHR0dzCA4efIk6yFovQF8TOsj5XgwGERtbS02Nzf5oQsGg+zjJeW8UCiE\nyWSC0+lEIBDA8ePHoVAo4HK5uEIfHh5mMtzzzz/P6tvq6mrs7e2hqakJXq8XNTU1CIfDMBgMGBwc\nZKgJ6QUAoKioCAMDA/x1HDx4kC+prKwsVFVVQSaToaamBocOHcK1a9cgl8tRXV2NcDjM3mmXywW9\nXs+hMgRJIgvdzMwMcnJy2PNMdjAS0xH9LCEhAR0dHezLpm7R7/fzoRMVFYXs7Gw8//zz8Pv98Hq9\n+PznP4+nn36auwOy142OjkKv1+PKlSvo7e1lR4lcLsfu7i4cDgcjWwm/u7OzA41Gg9nZWTQ2NvIK\nIDU1FTabDVtbW2hvb8fo6CiCwSDsdjtbOemSbWlpQTAYhNfrRV1dHQf2VFZW4vz585wvsLCwAKfT\nCblcjunpaU7gdDgcsNls7Jun6ZdYLEZeXh6EQiGmpqagUqkgFotRWFiI6elpTgkkWx6xDkiwRRod\nAMjLy2MSoE6nQ1dXFxITE5Gfn4+ioiL4fD7epefn58PlcuHhhx9GQUEBEhMT0dPTA41Gg6NHj+LI\nkSPwer341re+hXfeeQcCgQBWqxUejwc5OTno7e3F8vIysrKy4HA4UFZWBo/Hw5Mnig4mC7Ner8dH\nH33EEz+5XI6ZmRk0Njby2ULYYMr4MBgMWF1dhdVqZTYBEfh2dnag1WphMBgYI03ZEPPz85ienkYw\nGGS9k9lshlAohNvtht1ux9zcHAuu6b1NJFedToehoSEGqZHanjpXl8vFNj5aVwL4lKI/MzMTa2tr\nsP8uf4QKYSoylUolv6epgKEJ3s7ODqxWKwuGyb5NugQqPkmHsrKywoAqCnvLzMzE5OQko8BLSkqg\n1Wrx+c9/Hqurq7xmI+cIxWDT+J74NGtra2hqakJdXR2Ki4thsViwsrKCvLw8SCQSZGVl8fo4JSWF\nm7YjR44gGAxibm4OZWVlkEgkuH37Nu7fv49gMIi33noL9t8l3gLA2toaVCoVi8QJ5U68BbVazUFc\nu7u7yMrKQkNDA1pbW+nu+1NR8Ps+Xnrppb/LycnBk08+ycIo4pD7fD586UtfgtfrRX19PZxOJ+/k\nyKtMuE6K8VUoFPB4PJibm2NQkdvthslkYiobRYLSDp72RCKRCKmpqYiPj4fZbGZwTUtLC6M7SXFL\nMJj4+HgcPHgQd+7c4U6IduY+n4+7fRqh5+bmMpLXYDDg3r17DMIQiUSorq5GaWkp7+/o4h0YGOAD\n4Stf+Qo0Gg1PSYaHhyGRSGC32zkmlOKlA4EA5wucOnUKDQ0NfFgqlUrU19djenqaH/KmpiYcPnwY\n58+fRygUglKpRGpqKjweDxYXFzmshKrtra0t/Nmf/Rm6urqwsLDA49vTp0/j1q1bSEtL43E6iSZT\nU1ORlJTEYUqlpaWseaDvKxQKwev1ora2lsfUlPTo9/uh0WjwyCOP4NixY0hLS8PS0hKH6pw8eRI2\nm43HuASsyczMhNvtRltbG0pKSpiyuLm5iR/+8IccgUpQFAqRIs6CSqVCc3MzhzfRpMTlcsFisSA9\nPR1JSUno6urisBgqQA8dOoSVlRU+NHZ3d5Gdnc1uCrVazYJUmrBIJBK43W5YrVYsLS1x90f70ba2\nNvh8PoTD4U/Br2hfOjExwbvZxcVF1uwsLCxAqVTio48+Yt2GSqWCRqPB8vIysrOzuasi6xzpT+hn\n1NLSgsXFRXi9Xhw9ehSLi4vIzMxkHYVcLkdNTQ2vqtLS0uBwOBAbG8uWLMKa5+TkAACGhobY6bG9\nvQ2VSsXKc5/Ph5GRESiVSp5GETqaLGY0OTQYDHjjjTfg9XoRCoWwurqKZ555Bv39/axnoIkKYdRz\ncnKQm5sLnU7HCHJyILW3t3OoEQCkpqbi1q1bjAGmVV56ejpiYmLgdrthNBrZBkgkSDprhEIh7HY7\nBAIBF6G036+pqcH9+/eRnJwMu90OsViM/Px8yOVydiBpNBqerPl8PhQUFCApKYmnj//tpU+dK+lW\ndnd3P5UWSJRFmUzG0wSpVMpaBLIokguDHCUGgwFmsxn7+/uQSCQc2UyrX0qhbWhowNDQEOvBYmJi\n0NraCoFAgIqKCoyOjmJubg5Wq5WRwUtLS0hJSeFwOK1Wy9ZuwqlvbGygurqa3RWbm5tISUlBR0cH\nOjo6UFdXB6PRiNXVVXz00Ueorq6G1WpFSUkJ2yUJfb22tob79+8ziKmoqAif/exnce/ePczPz3Pc\nODELIiIimHXwzDPPQCQSIRQKsfWWXDqUNEor42PHjnHI15+Kgj/w8dJLL/0dUbpIGLi8vMydKtGk\nUlJSAABqtRotLS2w2Wxso5qbm2NKHamKd3Z2cOLECWg0Gtjtdvj9fha70etkZGSwAEulUrEAaGxs\n7P8SAfzJtDzqJqRSKdOx7t69y7yBhYUFLlzoIcvOzobRaOQugEh4ZDukxECDwQCfz4exsTEWWvn9\nfvYYBwIBbGxs4N69eygsLMTs7CzGx8dhMpkwPj4Op9OJ1NRUbG1tYWVlBY2NjZidneUdrt1u5zG6\n0+nEzMwMj+BWVlZ4dzwzM4PIyEgUFBSw5cbv9yM7O5t1Cbu7u5ifn+e0P5PJhPT0dAiFQhw6dAg3\nb97E6uoqEhMT0d7ezql409PT2NnZ4YAoAqHMz88jFAqxz5m494FAgIlnbrcblZWVbBs6fvw4rl27\nhqGhIY74JeFZdXU1fD4fX3TV1dUwm8146KGHYDKZ0N/fD+Bj9bVIJEJsbCwGBgawvb2NU6dOITU1\nlQNPCHvd0tKCpaUlFu1ptVpcvXoVi4uLmJubw927d5GZmYm4uDgUFxfzGoEEqn6/H88//zwGBwdR\nUlIChUKBe/fuMZ0uPT2di1c64KVSKZ577jn+PBL+ZWdnw/47BnxRURFzEeh1yM6m0Wj4a83OzoZC\nocDp06dhNpvZz03povR304TriSeeQFNTE/Lz8zExMYGYmBhsb2/jb/7mb+B2u7ngmZiYwNNPPw0A\nDPTJyspCa2srJiYmkJiYyKshlUqF5ORkpjgKhUJkZGTg5s2b/LPOyMjgC4327mq1Gs8//zwaGhrw\n2muvYXZ2llHGlP2Qk5MDi8WCW7duYXd3l3HIFosFCoUCERERiIiIwMmTJzE8PAyFQsGdPHEYpqam\nGKhF+3SKXCfMLlE6T5w4gZWVFZSUlLCbIRQKob29nbMjVlZWEBsbi+3tbWRlZfEEhb7X2tpaTE5O\nQqPRsB0xISGBI3sJiBQOh1FUVITJyUnMzMxwNHpZWRnGx8ehVCoxMDDAWg0SC+bl5WFubo4nXOFw\nGBqNhrMl5HI5EhIS8JnPfIYzC4gF097eDofDgZaWFqhUKmRlZeHWrVsMIaIV5enTp5GTk8NOgdXV\nVfh8Puzt7WFhYYFTF5ubm+H3+/lcWVxchN1uR3R0NAoKCvjyDIVC3PCQlslisaC5uZl1REtLSygq\nKoJKpeL0WrJ+pqSkYHZ2FqmpqRwFTVkN8fHxKCkpQXJyMnQ6HU+hyTpL+gfSrRG6XKvVsi6ivLwc\nDocDEokEtbW1uHDhAjMicnNz+fnc2NjA0aNHUVFRgfn5eVRUVCA1NZXuvj/Bi/7QR2xsLNvySBRG\nccDl5eW4e/cuE7ecTifef/99FtLs7u4yHz8hIQEajQZSqRSrq6uYmJhgi5tKpeILy+PxICUlBVKp\nlP/ehIQE7ojtdjvi4uKQlJSE/f19yGQyNDc34/z589DpdLBYLCgoKEBJSQmEQiHeeOMNfmAkEgm6\nu7uRn5+PuLg4mM1mPPvss+xFFwgE6OnpwdzcHLKzs3mXJpFI4HA4MDo6ipdffhlWqxVCoRB5eXnY\n29uD0WjEG2+8gfz8fLS2tjIT4MCBA4iMjMTVq1chFAq5yu7o6EBmZib6+vpQWVnJXd/Kygqn2e3v\n76Ourg5+v5931TTOpIeE3AMqlQrt7e2YnJyESqXiEXBKSgqvIcLhMEwmE5qbmxEKhZiDX1JSgsrK\nShQVFeGVV15hIVhBQQEAfGo/npuby2I7yk1PTEzE3t4eysrKOBApPT0dHo8HH330Ee9sq6urGVhV\nXV3NYtLh4WEkJCSgvLwcAPiAIjwsZcEnJCSgsrISk5OTEIlEnC4nFAqh0WgwODiI3t5eXr/ExMQw\nUlooFOLw4cOor6/HO++8g4KCAhw/fhxWqxUHDhxge+ba2hqKioqYdUEiqJqaGs7fsFgsqKysZMDK\n3t4ePvzwQ16pkE5mcHCQ8x+ImGYwGCAWi1FWVga1Wo0XX3yRcxbIceFyuTA5OclOl9jYWBiNRpSU\nlGBiYoIvLIPBgIGBAZw+fZo7pIKCAg73ouLzxo0bPDJPS0vD3t4eT59IqEl2y729PSaRUjG2vr7O\n1L6Ghga+bFZXV2E0GpGYmMh4Z1o/0JqPADytra2w2+38MyOrmdlsBgB2NxBvY3x8nMfEcXFxkMvl\nWFlZ4ehsiUQCtVrNHSGBufLy8gB8DCuLjIxES0sLLBYLXC4XgsEghoaGEBcXh3PnznGEeiAQ4NUU\n6YUI3/zJKGwi75HbRa1Ww+FwYG5uDr/4xS84s4U6VHKv2Gw2TE1NMfSIqJokTl1dXcXS0hKys7MZ\n7/3www/j+vXrPD0IhUL47ne/yyAtireOjIzE5uYmj/hFIhGysrKwsbHB55nH48HS0hJkMhnOnDnD\n4uK33nqLX2dhYYGFnWfOnMHNmzf53CO2A01FnU4n1Go11tbWmEFAKwVyXhGbZWRkhLVfX/jCF3Dl\nyhV27IyOjvLvQ6/XM9hLoVAgMTER3//+9/Hb3/4Ww8PDHJp1+PBh/p1tbGyguLiYUeURERHY2dlh\n4BZ9/UR07OjoYOs5ORZ0Oh03BLu7uzwl/mM//stPCvLz83k/1traipKSEty5cwc7OzsoKCjgeOKs\nrCz2zwuFQj6siUZIQJzl5WU0NDSwQIbsdCdOnEBdXR27DQQCAcbGxnDixAkYDAYOQiFmAREM9/b2\nkJSUxHhYIsh5PB74/X6Mjo5CqVQiJSUFdrsdXq+XefeBQADV1dW8c6ORNCWcra+vc2Qr5Z4DwPj4\nOCoqKrC8vMwRu16vl/UBMpkM9+7dQ29vLyYnJ9HZ2cn4ULFYDLfbDa/XC5vNxnZNYhvExsbymDQc\nDiMzMxNPP/001Go1zp49i69+9atwuVyoq6vjKUJDQwN2d3dx69YtKBQKWCwWFBYW4siRI8jPz0dj\nYyOmpqbg9/vZTeFwOLC0tISmpiY+TC9evIiMjAxYrVYegVosFkRHR6OiooL59ERMW15eRiAQgF6v\nx8svv4wPPvgAGRkZSE1NhdvtxtGjRxEZGQmLxYKnnnoK9+7dQ25uLrKzs7G1tcVBMsXFxTAajYiL\ni8PQ0BCOHz+OwcFByOVyFBYWIiMjA8vLy8jIyGCs8s2bNyGXy7GzswOj0QibzQaNRsMHrkgk4vEp\niRWVSiW6u7vZr00BOyaTCSaTCbOzs1hZWYHH44HRaMTm5iZMJhNaW1uZBREMBvHss89yuFdUVBRK\nSkr4Avxk+BZBkAj6Q3vegoICeDwe7rLpUCR4DBWChEqmbnptbY3JniTqpdjn0dFRVFZWwm63A/iY\n02C32xETE4O0tDRcvHgRKpUKdrudL+b8/HwMDAxgfX0d29vbaGpqwtjYGJKSkpjeSIr2YDCIY8eO\ncZbGysoKRyxLJBL09fVBIpFgYGAANpsNWq0W6+vrCAQCKC4uZtb9O++8A4/Hg9TUVPj9ft5XP/zw\nwxAKhbBarZxTQWAy0tTQSoHWCzKZDGNjYwiHw2xRczqdPFK+e/cuzGYzJicnYf8d7pb28haLhbUl\n+fn5HBAlEAiQl5eH9vZ2FBUVfWq9FhMTg+bmZgwNDcFutyMiIgIikYifa4rfTk5OhlQqRTgcRnZ2\nNkKhEE6fPo27d+8iPz+fNUmhUIiDssrKyiCTyeBwOKDVanHnzh0mo8bGxqK5uRkKhYJ/V/n5+ZiZ\nmWHKaVNTExobG2GxWDgemOK+KT/j/v37LGImXVhmZiZf5mKxGCdOnEBVVRX6+vp4ekATrm9961vo\n6+vD7u4u6uvrEQ6HuUhfXFxk+6ZAIIDBYMDa2ho0Gg18Ph/Onj2Lqakp5Obm8qpCq9Wir68PycnJ\nmJmZQVZWFsrKyjAwMIC8vDwMDAxgeHiYw9h2dnY4mp3eX6QPcblcGBsb4/WM2WyGz+dDaWkpJBIJ\nT9zIHknPZGxsLBwOB8eANzU10d33/z9LokAgeFwgEJgEAsGuQCAw/nc+74hAIJgUCARWgUDwzU/8\n+78XCARmgUBwTyAQvCsQCBJ/3/8fExODvr4+2O12vP/++3j11Vdx7949REdHY3p6+lPKUIfDgWAw\nCKvVygKp5ORkjn0lcM7m5ibGx8ehUCjw5JNPQiaT4dq1a7h48SKH+lDoDOXNE6mNuP67u7v8C719\n+zbm5+dx//59HuMHAgGsr69zEhxZkigty2g0Ijk5mS/i1NRU1NbWQqfTISsrC+3t7TAajWhubuaJ\nwfr6OkZGRjjFsby8HMnJyYiOjsajjz6Kjo4ODA0N4caNG/B4PBwMs7m5yR028DG8hkRCFEAjlUqh\nUqmg0+lQX18Pn8+HiYkJpKSk4M6dO1hZWcHExASuX7+OhIQE2Gw2dHR0sFJXpVJBIBAw9OaRRx6B\nWq3G0NAQJ1XGxsYiKSkJc3NzmJmZwfb2NkZGRnD58mW8+uqrEAgEvJ7Q6/U4duwYEhMTucMjHUhR\nURG+8Y1voLm5GRqNBi+++CJjmW02G9577z3+WVutVuj1ep74REREYGBggH3daWlp8Pl8ePfddzE2\nNoazZ89ifHwcOp2OD3Kz2Yz5+XkAwNe//nV885vfhMFggFKp5BXV/v4+xsbG4PV6mRhIpEPy1dNE\nQC6XMzWSLpTl5WUolUr09vZy6uPNmzchk8lQXFyMQ4cOITU1lTUBtHppaGhAVVUV1tbWMDs7yz8r\nl8uFpKQk5OfnIzExEYcPH0ZhYSHy8/PR3t6O4uJifOYzn8Gjjz6Kl156CS+99BIMBgOKioo4SKmg\noAAJCQlsm3rooYfY5lVcXMwamw8//BCbm5v48MMPMT8/z9kSFDOsUCggk8nQ3d3NECmVSoVTp06h\nqakJMpkMSUlJ6Ovrg0ajwebmJvb39zkAzO1280VGRUtcXBwaGxtRXl7OCOWenh5OGLTb7cjKyoJY\nLMZ7773HjpK0tDSUl5fjF7/4BV577TXu1giwRcFlf/mXf8kF7MbGBsN0aIxMAWlarRZf+9rXUFlZ\nCZlMhgMHDrDdr6mpCWlpaRzGReyO5ORkZGRkYHd3F0ajEV/84heRkZEBtVoNgUCArKwshEIh5Obm\nIjMzEwBgsVhYm5CVlYXCwkKexlA4GD1TiYmJvOr58MMPYTab8dOf/hRLS0vo6+tjEFlubi7UajXk\ncjkOHjwIoVCIpKQkRr43NDSwk6mhoQHFxcUoKCiARCLBI488ws4AIsEqlUqkp6fzWoTw1OSyoJjl\nuLg4lJSUsPU5Li4OpaWlLJYkTc39+/cRGRmJ6elpmEwmvPvuu9jZ2YHT6YTP50N9fT0KCwvZxXTm\nzBl86Utfglwuxze+8Q0IhULI5XIWFm9ubkKv12NsbIwJmrQKJaAWhTj98pe/RH9/P7a2thjBTJoW\nrVaLxMREhrCpVCoAQE5ODg4ePIhvf/vbOHr0KOLi4hAMBrG4uIhbt26xsLCjowNisRh2ux3vvvsu\nZmdn8eDBA9hstj/+YsZ/7vrgPoCHAfzzH/oEgUAQCeB/B9AOwA1gUCAQvL+/v28GcBXAN/f39/cE\nAsH/BuDbAL71375GW1sbxsfHcfLkSbZR/eAHP4DT6eSDsaenh5W8ZMVZWlrC4uIiFhYWsLCwwEpr\nlUoFk8mExMREHDlyhP3JtDcNBoMwmUzMpL9//z6PEvf29rCysoLz58+z3zYuLo6Rpe+//z6SkpLw\n5JNP4s6dO6ipqUFXVxfu37+P+vp6mM1mpgUGAgH259+4cdZ3Z60AACAASURBVANGoxFNTU3o6upC\ncXExLl26hIMHDyI5ORnNzc3cuaemprKdkVC11DEQ5fHMmTP44he/yLYfUjcnJSXhwIED+M53voPt\n7W386le/wk9/+lNkZmZCq9UCAJKTk/lCi4+PR1paGjY3Nzk+WSwWo6GhgTvDe/fuscaBAo4IEhUK\nhfgQLCsrw+zsLGZmZnivn5OTg5iYGPbYHz16FO+++y48Hg9efPFFTE1NobW1FTExMXj88cexsrKC\nAwcOcB6DTqeDzWZjWyTFWVdUVODy5ct45ZVXoFAokJmZyVbItLQ0zMzMYGRkBDabDQaDARUVFUhK\nSkJdXR0yMzP5MqYUy5ycHIyPj3PXQ+Ijej2LxcK4aRK3EZyKEjI3Njag0WhYCZ2amoqpqSkEAgGe\nEJSVlfHaIBQK4dKlSygrK2O7LGF7aVdLYjSLxQKNRoPx8XFeB/h8PqjVauzu7n7KOkmXLSn3V1dX\nsbKygrS0NHR0dODatWvo7++HUqlEZWUle+aVSiWLzBYWFnD06FG2gFKBGR8fj/LycqSmpuLkyZP4\nzW9+g/39fRw5cgThcBg9PT2siCdgWFZWFrq6uji3Pi4ujlcUERERaGlpYZeGQCDA8PAwVldXodPp\nEB8fj+7ubg7Hoh3w448/zvCa7e1tmEwmFrGJxWLU1NRAqVRCqVTizJkzmJiYwP3792Gz2SCTyeDz\n+XD9+nVIJBJsbGzw/pucIz6fD1FRUUhLS8OBAwfw53/+53C73bh79y7++Z//Ga2trXjqqaeQkpIC\nhUKB6elpFvNRgdbV1QW5XI6hoSH+WklXQVhwslITm2JzcxNFRUU4f/48ysvL0dPTw79HmixSwBCN\nyQn5TsUrEQ0JQEUage7ubgwPD2Nubg7nzp3j9QNhuzUaDcRiMS5dusRCWgAc5U5uE7/fzyFxWq0W\nH374IaRSKZP8RkdHoVAooNfrce3aNUxNTUGn06GhoQGLi4soKSmBTqcD8LGCPzs7Gzk5OYiLi8PI\nyAi6u7vZVUQunEuXLiErKwtZWVm4fPkyZmdn8frrr8Pj8eDXv/41kpKSeE1IIW5jY2OcZ0Grg52d\nHfzwhz9EbGwsxsbG+ExZXl5mdxr9PO7du8fPHTFoCExHGPpQKMThctnZ2TCbzTxFUSgULEomZgxN\ngv/Yj/+0omB/f38SwP8ovKEawPT+/r79d5/7BoBTAMz7+/vXPvF5/QAe/X0vMDAwwONus9nMIquE\nhAS24Hk8HmbuU0iHSqWCy+XiB5F89xKJhBnyOTk58Hq9kMvlSEpK4qxusgNlZmairKwMpaWlbCcy\nGAyQy+VYX1/nsJ933nmHRWCEqnS73bh58yZEIhFyc3Px8MMPo6enB2tra1hdXcWxY8c4cz0+Ph4X\nLlzAc889x8ryT0YqP/zww1hcXMTt27fh9XpRWFiIwsJCvPbaa9xpEjJULpdDrVbj/PnzWF9fR11d\nHaKiolgIKJFIAIA95cnJycjNzYVCocDs7CzKyspw4MABXL58GWq1mkV+zc3NGBkZYVKX1WrFyMgI\nPB4Pk8Do8CHeflVVFd566y243W4kJCTgm9/8Jn72s5/BYDBgeXkZbW1tSEhIwLlz5/DCCy+wVa22\nthYajQYmkwkJCQnIycnBwsICBgcHmdbY19cHvV6PnZ0dWCwWjI2NITIyEi+//DJX/WfOnEF3dzfb\nR6Ojo2G325GWlsbRuI2NjUhMTOTQJaLrUeYF0Si3trYwOjqKn/3sZ7xPJbRzY2MjI2Q9Hg9aWlrw\n61//mvUVBQUFCIfDuHz5MhITE5GTk4PY2FiOxyWqpVQqZTANIZGTk5Nx8eJFvowfPHiAwcFBxtGS\nfTY9PZ3XaAaDgcfaNO2w2+1obW2Fw+HgFQUlKq6vr6OiogJOpxNFRUVITU2FXC6HSqXihE2FQoHS\n0lJMTk5idnYWV69e5csuIyODnweyXwHgUfvm5iYmJyc51CgUCvFUiKien/vc53gtQF53mp4QSZGE\njBUVFaitrYVMJkNLSwt+8pOfoLCwEI8++iheeOEFXjPJ5XIGRqnVaoyMjCApKelTONnS0lJMTU2h\nrq4OOzs7jHomLPjc3NyncMkPHjxARkYGu3GoGSFAWn9/P9bX1/Hhhx9yA7C4uIjo6GhIJBL2z09O\nTqKuro5zChQKBRwOB6qqqvgyJk5GVFQUEhMT+bm22+1QKpUQiUScFmkymfjnRgU94aLLysrQ0dHB\nz2Fubi4mJyfR3NyMlZUV/Pa3v8XQ0BCr4+l7pLN0YmICp06dQiAQwOrqKr8uncMU0EVJmBUVFZwK\nWVpaiqGhIchkMmRnZ2NlZQXd3d2wWq0sPqTzgrDSOp2OdQ4OhwPZ2dnQ6XTo7OzE4uIiw5FCoRBP\nKOVyOT744API5XKkpqZCoVCgra0NIyMjKCkpweDgIPR6PQYHBznVluKKSTtGRVxxcTGKi4s5xZKs\n1D09PdDpdIiJicHu7i5kMhmOHTsGkUiE6elpPPvss7h48SKuXbuGlJQUvidyc3MRCoXQ09MDAGwZ\nFYlESEhIwPj4OGpqavDd7373/8YN/Ic//r8uNFQDcH3iz3MAan7P5z0D4PXf9wJkTamtrYXFYoHX\n68XBgweRmJiIf/mXf0FbWxtX8G+++SYOHz4Ms9mMQ4cOYWRkhEUsubm5eOONN1gEQ7AfQpWSDZHQ\nuBqNBi6XCy6XC8XFxVheXmbngFarxfXr19HS0oLCwkIsLy+joqKCR216vR4ymQwXLlzgkdy7776L\n2NhYiMViOJ1OFrkMDg5y9Xru3DmmW8XExODq1atobGxEZmYmEhMT0dXVhcXFRZw+fZp94TKZDGaz\nGWazmb3SVqsVp06dQjgcxoULFzi5kXaCFosFMTEx7F1ubW1FUVERfv3rX0MoFHIaZWxsLIqLi+F2\nu3nUbjabkZ6eznaukpISxrneunWLVew0gpRKpbBarRCJRKiqqsJ7773H4juCSclkMhQUFMBqtaK0\ntJSTICnPIiIiAo8++ijnPmRlZWFvbw9WqxXLy8s4d+4c79aDwSBmZ2chl8tx4cIFtpTeuHEDVquV\ngVDBYBDZ2dmQy+V4//33EQwGkZCQgImJCV4dUcbB4cOHMT8/D61WC5VKhaqqKhYyhUIhNDc3M1pV\nq9WiubkZ586d47S0+Ph4xMfHY2hoCMeOHcPp06dhs9lw/fp1qFQq7O3t8XiT0teIArm9vY2SkhI0\nNDTg7bffhtVqRUREBLtjMjIyWPjW19eHvLw8Hm8DH+Nn19bWcOjQIWRnZ7Pye2BgAGKxmHfmXq8X\nPT092N/fRyAQgN1ux/Hjx+HxeNDY2IjR0VGOKqegHXLzkJdeJBLBarViZWUFVqsV9+/fx97eHu+S\no6Oj4XK52O3y7//+7xCJRDzlcrlcOHToENLT0zkYZ3R0lAOuRkZGkJCQAJ/Ph/HxcRw5coQjeulS\nIFwxIatJ80P737q6Os6AAD52Gs3PzyMnJwf3799Ha2srJicn8fjjj+Pw4cOw2Wx8Sfv9fhaP0YVJ\nl7fX64XL5cKFCxd4LbewsICOjg4olUouRmlfnZmZicOHD8NqtaK8vJxBYQ8ePGABbVtbG9bW1pjM\n+OKLL+Lb3/42C+9oelNeXg6r1cqX0OLiIvLz89kJU15ejujoaMTGxiI9PR1SqRQVFRWMZqbsl+Xl\nZWZGkF13c3OTn52ysjLs7++jurqaLcna38XZ0+VKBFWpVIra2lrMzc0xuGl7exv7+/t8/pWWlrIY\nlqaR4+PjjJGuqanBzZs3uRHo7+9n8mhdXR26u7uhUChY5yMUCnm9IZPJkJKSgpmZGRaLPnjwACaT\niUXVOp0ORUVFHF4UGxsLs9mMN998E6Ojo9ja2oJOp0NaWhreeecdjk//wQ9+gIsXL2JsbIytkG63\nG7dv30YwGGRR4c2bN7G5uYmFhQVIpVKsrKww8yYyMhLp6enslLh+/TrOnj2L999//49OSfxfWhQI\nBIJrAFJ/z3/6zv7+/oX/iZfY/5/4O/4GwPb+/v5vft9/J/SkSCTC1NQU3G43nnrqKYjFYvT29uLE\niROIiorCvXv3kJKSghs3bvCf6+vrcfPmTaZyUeftdruhVqvx/vvvQ6lUIicnh9X+Pp8PMzMzAD5O\nsQqFQoyAtVgsvP+kcJa6ujqcO3eOOfn19fUAwPYmGpdTpWw2m7kr2NraQk9PD++mp6enOd3wxo0b\nqK6uxuzsLK5fv47c3FwGg5SWluKNN95AaWkpfD4f42ap06ypqeFxs8lkgsPhQHx8PO7du4fIyEhY\nrVb+meTn56O+vh7nz5/H6Ogo268Is7qxsYGKigpUVlZyDGlOTg42Nzfx/PPPIzo6Gm+//TbnOQwP\nD6O+vp6FnRKJBPPz8zh58iQmJiZQX1+PDz/8ECKRCG63G3q9HuXl5ZidneWoWZ1Oh6mpKeTl5bF/\nWyQSoby8HDMzM8jOzsbw8DBOnToF4ON9K/mmL168iPLyct7Pi0QiHs2TAruoqIhFiqurq/jsZz+L\n69evY3d3F08//TQKCgrw0EMPcSLb0NAQR6QmJydzmA+lBcbFxUGlUnGU8ydRz8FgkEWiFKDV29vL\n3REd/GTXCofDuHv3Lsclr62tsRX1s5/9LH7yk58gEAggLy8P8fHxDNehYi07OxslJSXwer3Y2trC\n7OwsqqqqkJ2dzR1KZ2cnpqencerUKe4cfT4fVldXeQ9PPPzo6GjOV7hw4QIKCgpgs9nw9a9/HWNj\nYxgbG2Pf+Kuvvop//Md/xGuvvYaCggIWk0VHR6O6uhrp6eno7u7Gzs4OU+SKiopw8uRJTE5OorCw\nEFtbW5ykKZVKce/ePd71k//9gw8+YI6F0+lklr7NZoP9dxkVNpuNI35PnDiB5ORk/NVf/RW8Xi/m\n5+cxNDQEAJyUSF+bw+HA1NQU4uPjAXysv1lZWWGnB6G2yYXgdDrxm9/8hq18NAqOjIzk5iM5ORm3\nb9+GUqlkXUt9fT08Hg9UKhUePHiAubk5bG9vY3JykmN4KVSH8OBXrlxBKBSCVqvFF77wBdhsNrz5\n5puYnJzkaQKhyGdnZ1ksuba2hmvXrvFY2+fzobi4GEtLS+js7IRSqWQHl1arxcjICMPb1tbW8Nhj\nj2FwcBBLS0uMps7Pz8fU1BR/3tTUFBYWFjh7ICMjg/HJYrEY//RP/8SJtXt7e9BqtcjJyWG3F72n\naV2bmJiIzMxMjpAmbVRBQQGSk5OxvLyMyclJrK+vw2AwcAqj1WqFRCJBZ2cnysrKUFRUxG4scol8\n73vfQ19fHy5fvswrqrGxMSiVSuasUPOnUCjg9/t5vSOXy/GDH/yA1zuf//znMT09zQVLQ0MDfD4f\nVCoVVlZWmHA7PT3NQlKa5pDGoqysjEWf/xEf/0uLgv39/UN/5Eu4AWR84s8Z+HhaAAAQCARfAHAM\nQNsfegHy1n700UccXVxTU8OdxL/+67+ipaWFBVokJomPj2fBDV2YhOlcW1tjZntMTAzjiWmUGggE\n4PF40NTUhEAggAcPHmBpaQnT09NISUlh8IjX68Xdu3cRERGBa9euISMjAz/+8Y8BgMN6qLOLjY3F\nQw89xAdWcnIygsEg9Ho9tFotj5Dr6uqYC261WuH3+3HmzBkUFxcjPz+fWQ3z8/M4ceIERkZGuIrW\n6XRQKBTo6elBf38/9vf30dvbi/j4eDQ0NPBFWlhYCK/Xi7a2Nu6oKyoqWCB57NgxzM/PQyqVIicn\nB9HR0fiHf/gHPsC2t7eRlpbGZDeXy4WGhgZGy3Z1dWF3dxfj4+OYnZ3F9vY2Njc3YbFYcPLkSb4Y\nlpeX0d7ejq2tLaytraGzsxO1tbVISUlBf38/nn76adTU1ODSpUuMW+7s7IROp8OVK1dgt9tRX1/P\nsBilUgmn04nPfOYzkEql6OzsRGtrK7q6ulBUVITi4mIEg0G4XC6Ul5ejq6uLi5CmpiZ0dHQAAIco\n0f6wr68PGRkZ7P+mRD/y+sfGxsJgMMBgMDCXYHNzE1/96ldx7do15jzs7++z7UwqleKxxx7DzZs3\nGT1LMKGoqCiOLaaY569//etobW1FZ2cnurq64HK52H9PF5z2d9G4QqEQKpWKJwZqtRpXr17F66+/\nDoFAgNnZWTz33HPQ6/Uc73rx4kW0tLRwV1deXo4f/ehHKC8v50J7aWkJBw8eZMHo7u4uysvLcf78\neVRVVfFUDAD0ej00Gg3OnTsHsViMJ554Aq2trVhdXcXOzg7v2Pf29tDd3Q2ZTIb+/n7IZDJUVVXB\nYrFgd3cXEomEnzWTycSiLqVSicceewxra2t45ZVXYDQacfDgQdy/fx+XL19GRUUFK+t/+ctfcsLo\n4OAgRkdH8eSTTyIqKgpvv/02Z3s0NjaisrISd+7cYdJlUVER2+c2NzfZXutwOPDKK6+wILOgoAAO\nhwOXLl3ieGeLxcJ6h2AwiLS0NKytreHZZ5/F1atXsba2xoAekUgEvV7P+oy4uDi8/fbbrFGRyWRc\nTAeDQWRmZiIYDEImk7F6n1YrUqkUly9fZv7K66+/ju3tbRgMBiQlJbGVz2QyMf3zgw8+QHx8PHJy\ncjA/P4/y8nLMzc2hvLwcZ86cgUgkgkKhwMDAABcwpF8wGAyIiIjA/Pw8UzUVCgXzTggr/KUvfQmd\nnZ1wOp24fv06P2cRERGfQie//vrrCAaDcLvdcDqdKCsrg8VigVAohN/v5yJvd3cXY2NjeOqpp7C7\nu8sJlIuLixgeHkZPTw8TXisrK1nEfP36dba5EqSpoaGB9Ro0tVQqlcydIfhSQUEB5ubmUFxcDKVS\niby8PM7zkMlkMBgMuHnzJra2tnitlJiYiN3dXWRmZmJ7exuH/w/23jyqrfvO+39fBJIAISRAIIQA\nAWIxm20wBoMXkuDdiZfETpMm8STtNJ3OtNP0eZo5/U1Pnz4zp+2cOdNnetrJtDlpJ8kkdRaPE8d2\n7HjHxoA3jG02s+9ikwDtYtP9/YG/nyIQBtsQO/F9nZPTGomrK3F1v5/vZ3m/N2zAH//4R3R0dGB0\ndBSpqam09vzf/3tPAwcePCzlg9nyHVcBJHIcpwNgAPAsgOeAyakEAD8GsI7neddsB1Yqldi1axci\nIiLwm9/8BhqNBleuXKEdaH19Pc2lso7XGzduoKWlhXYKo6OjpE+u0+mwYcMGcByH/Px8qmMxIRgm\n8sJuIhqNhjzZDQYDCgoKkJ2djffffx96vZ5c0/bt24fs7GxkZ2fTudfX15OV8969e/Hee+9hZGQE\ncrkc4+PjZErDOk/z8/NJDKOwsBCJiYkoKSnBuXPnYLfbSQu+sbERS5YsQVVVFfLy8qDT6XDhwgUM\nDw9TrYtZq7KLeXBwEGazGc3NzTQfz0YmWZ315s2bqKqqIlGdwMBA/MM//AN6e3tx5swZ9Pf3Y8WK\nFYiLiyNpX+aqFh4eTvryq1atgsvlwrp161BeXk6zyZmZmVAqlfjxj3+Mn//859QsxpqWWLNecXEx\njEYjRkZG0N7eDj8/P5jNZmi1WnJIZItIcHAwzQIXFBSgoaEBr7/+OjIzMzE8PIyKigryRGdjWkze\nmhlRsV4ThtVqpZopE5pKT09HZ2cn6urq0NTURLt0ZuLDnAJHR0dx4sQJJCcnY2RkhHaHbOf7t3/7\nt2hra0NaWhpOnDiBF154Ac3NzSgqKkJYWBj279+PgYEB3LhxA9HR0YiPj8f58+exdu1a+Pj4YPny\n5SgrK4PBYEBHRwd8fX1JjlehUFCt1OVyITY2FlKpFNXV1bh69SqysrLw+uuv41e/+hUUCgVOnTpF\nY7wDAwP47ne/i+LiYhKxYZr8sbGx0Gq1eOuttxAcHIzk5GS89dZbqKmpIWnooqIi8lJg0wbt7e1Q\nKpWkxRAWFobk5GTU1dUhOjoaiYmJyMzMRHV1NbkYqtVq5Ofno7a2lqY6xsfHKRVtMBhI4reuro7k\nmHNzc3H9+nVqXmVmYP7+/rhx4waWLVuGtWvXQiQSoa6uDu+++y4CAwOpF+b06dN49tlnKdAtLS0l\nZUWxWEw1+ebmZvj6+iI2NhY3btxAa2srzpw5gxUrVpCULgsWWXOqRqMh0x2r1Ypbt27Re/Dx8SHv\nBabwWVZWBolEgjNnztB01dKlSxEbG4tLly4hKioKH3/8MY1I+vv7o7W1FcuXL0d6ejp6e3uxdOlS\nMtNiTpC377vUOyUWixEREUHW7oGBgaRO6efnR7by1dXVCAgIQE5ODtXhh4eHERkZCV9fXzQ3N2Pl\nypVkcd/c3EzNjlarFaGhoaipqcFvfvMbSCQSqvEzwy2O48j0jak2chyHiYkJ0pVhUvQ9PT1oa2uD\nXC6nJuXMzEz4+/vj/PnzaG9vJz2DJUuWkCDc0qVL6d526dIl7Nq1CyaTCWfOnMG1a9fw2GOPISgo\nCCEhIQgODsbg4CAKCwvR2tpKvRoFBQXQ6/U0gcAErkJDQ0mSuaCgAAaDAdeuXYNer6dyTHBwMBQK\nBZ544gn4+fnB7XZDpVJBrVYjOTkZMpkMycnJtDG5n+DggQUFHMftBPBbAGEAPuc4rpLn+c0cx2kA\nvMXz/Fae58c5jvs7AMcBiAD86fbkAQD8DoAYwMnbNZRynue/N/11zGYzjTK53W7k5+djx44dOH/+\nPN0Atm3bhqioKPzxj39EXl4eSkpKKHrV6XTYtWsXzp49i+rqaqSmpuJ73/sezpw5g4KCArz55ptU\nHmAXRXh4OLKzs9HQ0IDo6GiqfwEgEySdToeTJ09iy5YtZBZTUFCAwsJCOvdTp06RnGdQUBDWrFmD\nt956C5s3b8aWLVvw0Ucf0WhSfn4+uru7cerUKWi1WqSnp5OccnNzM+mhNzY2YmxsDGazGVVVVRgf\nH0dYWBj6+/shl8shl8tx8+ZNitzT0tKwc+dOHD58GGq1GuvXr8fFixdJ/lehUGDFihWUBmeqZVlZ\nWUhLS4NUKoVOp8Nzzz2HgwcPkhOYWCzGzZs3ybHM7XbTDpeJ2chkMrhcLoSFhWHNmjWUHmPqbyKR\nCJ2dnbDb7bDZbIiPj0dmZiZaWlrA8zwuX74MPz8/lJSUwGAwkG9Da2srRkZGYDabkZGRgbS0NLz2\n2mvIyclBV1cX3G43Ll++DJFIhJqaGpr2YH0ibDQrLCwMNpsNFouFnBcB0O6A2T77+PhgYmICmZmZ\nOHDgAAYHBxEREQHmy8H004FJPwmHw4H8/HxUVFRQSYo1t8bGxqKlpYU64pmmRlBQEFQqFWJjY5Ge\nno4zZ84gLCwML774okfAwiZwwsPDKSvgdrvJqKilpYW8JyQSCTQaDRllBQQE4N/+7d/Q3d2NQ4cO\nIT09HYWFhRQsMYttptDHRuZeeOEFvP322wgKCsKrr75KC1l0dDRlIqqrq3Hr1i3Ex8eTZSzz64iK\nioJUKsWBAwdQUFCA1atX44MPPkBycjL174jFYnzve99Dc3Mztm7dSk1dLJX805/+FG+++SY1HvM8\nj5/85CdkufvjH/8YPT09iI6ORltbG1555RUMDAygqakJKSkpMBqN+NGPfgSRSAS73Y4LFy6A53nE\nxsZCJpORXLSfnx/y8/Pxpz/9CXv37kVsbCxKSkoo7S2TybBlyxbKkvyf//N/EBkZiY0bN0KtVlNj\nJ/seDA8P48yZMxgeHqYd6qlTp2A2m6FWq3HkyBG0tbUhLi4OQUFBdM1MTEwgIiICS5cuhcFgQGBg\nIAoLC2G32/Gtb30Lo6OjJNc+OjoKs9mM3NxcxMfH4/Lly+B5HiMjI2hpaaFFi3mKsAzZxo0baaIj\nICCAGldfffVVREZGgud5LFmyBKtWrcLx48fx0UcfITU1FYGBgfjiiy8gkUgQHx+PDz/8EGFhYTRR\nEhQUBLvdjjfffBNvvPEG+vr6MDo6Crlcjvz8fAQGBkKn06G5uRlarZYmcCwWC/R6PRobG1FUVASt\nVosjR47g008/xbp169De3o6wsDAYDAa0tLRQ75C/vz+AycmpixcvIj8/HxzHwWw201TOxx9/jJGR\nEWpMZJ4aS5cuxY4dO6jzPzk5GSUlJYiJiYHVasWLL76IiooKJCcnY/369TCZTOjs7CQl1qeffprk\n7ZnLZHBwMEJCQlBdXY2+vj5kZ2djyZIlZPZ2/PhxqNVqmghjDa6safR+eZDTB58C+NTLzw0Atk75\n9zEAx7w8L3E+r5OamkoR9rJlyyhCi4+Px1NPPUWiMPn5+Thz5gyWLVtGlqTnzp3DK6+8gpGREdTU\n1MBqtSImJoYWISYgxGaMh4aGYDQa4ePjQxcF6y5WKBTkQcDmbE+cOIGVK1fiwIEDUCqVJJUJgJp0\nBgcHERwcjFu3bkGhUEAqlWJgYAAfffQRNZldvHgRu3btQnNzM32BBgcHUV1djSeeeAJlZWVQKBTw\n9fWFn58fxsfHSThGqVSSsqLVaqWFFZhM4QYFBWH79u0klsKkg41GI3bt2kXne/ToUVIra21txVNP\nPYXc3L/0hPr7++Mb3/gGNcGEhobCZDKhu7sb0dHRJAzS2tqKmzdvkoY3yybIZDI6FhNYYVawrJGM\ndePu3bsXly5dInORlJQU1NbWIi0tDatWrcKhQ4cQFRUFnudx4cIFJCcnY+XKlfDx8UFfXx+++93v\n4vLly0hLS0NtbS1+8pOfYN++faRwaTQacf36dfJ66OzspHlwANTwxSRJk5KSSGioo6MDwGQGa9Wq\nVfirv/orcq9jzXi9vb3o6elBX18fjYlxHAee5/Huu+9ST8LLL79Mnens8ykqKsLQ0BCSk5PJSc3f\n35+apBobG7Fz507KMLCbHhOaefrpp/H73/8eFosFmzdvRlVVFcxmM3bt2oXnnnsOf/jDH9Dc3Iwt\nW7agsrISnZ2d6OjoQFxcHLq7u1FeXk4SumNjY/jBD34AqVRK2bOwsDDk5eXh2LFj2L17NywWC7Zv\n306z8iqVCqdPnybxmZCQEFy8eBFyuRw5OTlYv349hDp+pAAAIABJREFUxsfHUV9fj2effRYqlQq/\n/OUvadKHeZYoFApSy4yKikJsbCzCwsKwfv16DA4OIicnB6+++ipaWlpgsViwfPly7N+/Hy6XC9nZ\n2dBqtTh48CBiY2Oh0WjQ2toKf39/qvXv2LHD4z7D5NSlUimuXr0KtVpNughsTFWv1+PEiROIi4tD\nUlISGdgw06GLFy9Cq9UCmCxvpKen4x//8R/x0ksvwc/PDxMTEzQltGnTJuTl5ZF+iMPhwIkTJxAa\nGoodO3aA53lERUVh06ZNNMnAsgRsnDUiIgI6nQ46nQ51dXWU8amqqkJUVBSsVit++tOf4ubNm3C7\n3aivr8err76K4uJimmJiHixqtRr9/f04efIkNBoNnE4nuru7sWXLFoSHh2PLli2k6ldTU0MbkHXr\n1uHw4cO4fv06JBIJRCIRkpKSMDg4iKioKCxbtoycO2NjY3Ht2jWMj48jLS0NVVVVJOTV0NCAN954\nA3K5HH19feA4DiKRCBaLhR6fmJggsbqysjKMjo6SzTcwKUx39epVFBYWkuKrRqNBZmYmBbP/9V//\nRd4fbLz1jTfeoPsVazZmwYper8fVq1fx0ksvITMzE+fOnUNWVhaSk5Px1FNPAZhs5o2Pj0ddXR0+\n/vhjsm/+5JNPyAV26dKlOHToEADQVJpGo0F0dDT5wDQ1NXncc++Vh6V8sGh861vfQk1NDbq6uvDy\nyy9TLZ3jOHzyySeU4kxLS4NKpYLRaIRer0dJSQn5dZ89e5aEIaqqqvDP//zP5FvARtKys7NRWVkJ\no9EIs9kMuVxOzVkSiQSjo6NQKBQICQkBANrJh4aG0oLBdouDg4M4d+4cDAYDpe8rKyuh0WgglUrx\nzW9+ExKJhBQBmbiSVColKVXW6FdZWYm8vDx6z5WVlcjNzcXo6Cj279+PZ555BocOHYLT6URTUxOy\ns7Px8ssvA5jctZaWluKjjz6Cw+FATk4OXn75ZZIIngoTJ/Lx8aHGMSYDyxCJREhISKB5cvYazDFu\n+/btUKlUKC8vpzo500pgzwcmR3LYyM5TTz1FHu4hISHo6elBfn4+uYUBk81esbGxZGbE8zxcLhel\n5JuamvDGG28gPDwcjz32GOrq6pCRkUEjo0yFTKPRIDw8nFzdQkNDkZCQgGPHjmHLli0e5+fj44Pn\nnnsOSqUSXV1dCA8Px6pVqyh9zHzcmRQts9Rmkw0rVqzA1q1b8bvf/Q4bNmzAZ599RjdSFuD19PQg\nICAAbrebGtskEgmcTid9Puy6YLPVTz31FBobGxEbG4vq6mr4+/tDLpejtbUVCQkJiImJwcaNG1Fc\nXIxt27ZBLpejpqYG0dHRVMKJiYlBfHw8EhIS6D3HxcWhsrIS2dnZsFgsOHLkCFllX716Fb6+vvje\n976HxsZGyGQybNq0iRaNgIAABAQEUCYoJCQEra2teOyxx6BWq2mskGko+Pn5IS0tDWfPnqW0Omvo\nYhK0Wq2WRhLZNIzD4YBSqaSRs46ODlJQbG1thdlshlKphFarxdWrVzE8PIy9e/fSJAu7rqfC1ENj\nYmKod4h5NdTV1cFkMpEYVX19PVJSUjA+Pk4TNWvXrsX+/fvxhz/8gcx7UlNTUVxcTLtYlUoFu91O\nkr6BgYEoKipCUlKSx7l0dnbixo0bSEhIQGNjo0d3vcViIVGg0NBQsgtnAWtgYCBiY2Oxfv16fPrp\np/Dz8wPHcejv74fFYqHm4n/913+l5sVf//rX4DgOIyMjMJlMCA4Oxpo1a1BQUIDz589TozH7m05M\nTJDK5OjoKLKyspCdnY0nn3wSn376KcLDw5GZmQm3243Q0FDY7XZERESgqakJycnJ2LFjh8fmwM/P\nD6dOncKyZcvAcRz0ej0FKVKplMTWMjIycP36ddjtdnR1dZGvACvLMadZtrn49a9/DaPRiDVr1gAA\ntm3bRou+UqlEQkIC9uzZg9HRUYyOjiI2NhZbtmwBx3GklmswGJCUlETlGTZZ0d/f79EDxsosrLGy\np6cHRUVFpIbJcRw6OjpI9fD3v/89JBIJCgsL0dvbC6vVSoqlrF/mfvnaBwU6nQ6XL18mIYvq6mpS\nS2MLDTPEYNEu+/KEhITg888/JxMkHx8f+Pr6Ii0tDXV1dXjmmWco9aPVanHgwAEyPGHjVEyOt6Oj\ng5oNT506hcHBQbS2tuKNN96gXRSz/Tx58iQJAG3btg1LlizBxMQEcnJyyMiFdfg3NDRAp9Ph/Pnz\nKCoqgslkwvnz57Fx40bqIN++fTsSEycTKxKJBNeuXUNERATJmC5duhRHjhyB1WqlHRoAsjMGJgMV\nNorFBJwcDgd9hmzRvHDhAkJDQ6lJh9nYAiBnuWXLlgGYzBa0tbWhqKgIhw8fRn19PQICAmiWXiQS\noaOjgwyomJ/B4OAgjc6NjY1hfHwcdrsdW7duxYcffoixsTFynQNA/uRutxtXrlzBmjVrcPbsWXz7\n29+GwWCAWCyGRCLBzp074efnhx/+8IdYvXo1YmNj0djYiKtXr8JkMlEN/u/+7u9Iv1yv11PHOsNg\nMMDf3x8pKSlobGykCRKm28ACgqioKPodk8lE0sTNzc1k38t2M/X19ZDL5QgNDSWnSmZ4xSY3GGwW\nnH32/v7+qK6upvFNNtnhdDohlUqpkYmVQFjD4759+2Cz2ejGxfM82tvbSVGNKW0ymKHUhx9+SO/p\ntddeg9PpJPVMt9uN1tZW7Ny5E+3t7bQzngqT9Gad7lKpFFFRUdSbAwBr1qzB4OAgAGDdunU4dOgQ\neJ5HfHw8PvjgA7ou9Xo9rly5glu3biEjIwOnT5+Gw+FAR0cHdDodjEYj6UHExMQgPDwce/bswZEj\nR7BmzRpkZmaivb0dCoUCfX19HkGB2WzGyZMnERYWRv09AFBQUICYmBjExMQAAKX8XS4XMjIy0NjY\niI8//hg9PT1IS0vDv/zLv0Cr1SI7Oxt9fX146qmnaDEYGBigaQSLxQK3201um9NhDalBQUFITExE\ndXU1ysvLkZCQAJvNRr0wZ86cwdWrV5GRkYH09HSUlJRQuebdd9+FwWDAsmXLSOgqMTGRzK1YrZ8F\np4mJiZDL5Th06BA2bdqE8PBwvP3228jKykJ+fj7pd3AcR9bgwcHBcDgcdG/R6/WkjcF0K9iUikaj\ngclkQkZGBl3XDL1eT1MSYrEYjY2N5O547tw5BAUFkVU8y1T8+c9/Rm5uLo0xM1ljX19fKJVK+h65\n3W4KhKde40xW/P3334fFYqFR3tHRURQWFmJgYADbtm3Du+++C19fX7z99tswGo3gOA63bt1Cd3c3\nFAoFYmJi0NLSQuqwbCx4YGAAq1evBgCsXr0aFRUVMBqN6OzsRHd3N9avX0/Py83NxTvvvIMXXngB\ndXV1CA72Kup713ztgwJmPMR2UMzZkNW2eJ4nBSpfX1+cP38efn5+MJlMUCgUlMpmErk2mw1JSUng\neR6HDx+GUqnEmTNnYDKZ0N/fD6fTibS0NJqVjo+Px4EDBwBM3uwSExNpR9be3o6qqipqWNJqtfjV\nr36FJ554Al1dXVi1ahU0Gg11lgOT6ammpiZUVVXBYrGgq6sLa9euRUlJCY0WDQ0NoaioCGVlZWhp\naYFUKqXPg40MnT9/HnFxceQL8MEHHyA4OBiJiYnYunUrNBoNTp48iYSEBFy+fJlqmACofsZ26CMj\nI3TDYWYyTz75JGVFGBaLBQcPHkRSUpKHUUxHRwdefPFF5OXlAZgMOhoaGiCVSsFxHLq6ulBWVkaS\nziaTCVFRUejr68Pw8DBEIhHEYjGpeg0MDJAMKTBpCDMxMYFr165BoVAgLCyMun2vX7+O3Nxc3Lx5\nk8Re9Ho9Ll68SE6HALB582Zs3rwZb731FsRiMex2O40rJiYm4sKFC9i2bRuNpLJGU7ZgsB4DX19f\njI2NUe0cAHieh8lkQlhYGM2Gs4ZVVuphjnvbt29HXFwcbt68iV27dmH//v3o6+uj82TukswqHJgc\ny71x4wbWrVtHzVwAKEBhPQes8581A27btg1Xr14lvQqn04mKigqy9GWd0Mxq1uVykYb+iy++SDK/\nOTk51EMRFRWF5ORkBAYGUpA3ncjISGRlZVFGh30eFouFnuPr60tmU3a7HaGhoWhsbKTyHtPEZ7vu\n6upqFBQU4O2336bPoLy8nL7/YWFh6OrqglgsRn9/P3x8fLB7925oNBpERUWhubkZzc3NVFoDJoMg\nnU7n0QfkDZVKhbGxMezcuZNMm2JiYlBSUoJXXnmF1C2ZtHBMTAxycnLw29/+Fv39/XSM5uZmMhub\nHhR0dnaS2iQrb5SXlyMvLw8mkwlXrlyBRCLB7373O7jdbip7dnZ24ujRowgJCUFkZCROnTqF3Nxc\n/M3f/A18fX2RlJSExx57DC6XixwkdTodxsfH8dhjj+Hb3/42zp49i4aGBuj1epp+0Gg0GB8fR09P\nDzXiMvXOoaEh6lcBJseOWSPs888/D6PRiOTkZDQ0NOCJJ54grQ62CE+9n6xYsYJKcex9MQGlHTt2\ngOM4/PKXvyTVwezsbJpiYVLCdwPrm1mxYgVsNhuOHj1Ku/633noLZrMZKSkpSE1NRVZWFoKCghAV\nFYXdu3eTHHN1dTUSEhJw9uxZ3Lp1C7du3YK/vz+JGjH7b1b+Gx0dxc2bN6HVarFkyRJ89NFH+NGP\nfoSEhAS8/fbbNGnG7s/3yyMRFDgcDkrJSyQSVFRUQK1Ww2w2o6ysjOrkL730EqWqmeQqa6D57LPP\nKA3HTHRyc3NhsVjQ2dmJZcuWoba2lqwz2ZhQREQEurq6EBoaiqSkJPJVByZ18A8ePEg1Y4vFgi++\n+IK+ED/4wQ9QU1MDkUiE2tpaGhO7efMmXn75ZZw8eRKFhYXYtGkTzYKvX78excXFuHXrFtrb27Fp\n0yYUFxfTmCCTRK2rq8OGDRsAgFJbVVVVWL16Nfbt20f2oMy3m8meAqA+BOaaxkxXoqOjsWXLFqoF\nT0cul5NRSGFhITQaDYaHh2EwGLB79256HkvRBQQE0E2A6bbzPA+9Xo/Q0FAEBgaSD7lKpQIwWYvt\n6+vzCArYdXDjxg08/fTTGBoaomCxq6sLubm5GB8fR3V1NUwmE5555hmvqTiO46DT6fDRRx9RUyWb\nBBgfH8fp06fR2dlJnwkwmTYdGxujAIdlm7Zt20bHZdoEEomEPjuO4+gYAQEBUKlUqK2tpffCFvLQ\n0FAPzfPi4mKcPn2aOsMBkBU0W1BYEMfG5tjxWGaBBVEikQhdXV148cUXsX//fhiNRjz55JPkV3/r\n1i2qnxoMBvIAyMrKwvDwMJKTk7Fq1SqPz9Df358au2bj6aefxsTEBG7dukVTM2yGfjrt7e04ffo0\nnE4nNa6KRCLs2LED//Ef/4Hf/va3KC0tpebGqKgorFixAnq9ntLDQ0NDqKioQE5ODmpra1FWVob8\n/HyPPhG1Wk21Z4bBYPB4zmz4+PggPDwcVqsVKpWKBKv+53/+B7t376beg76+PuoFCQkJgY+PD7q6\nuuByuZCWloabN28iNzfXo1zEqKioQEpKCq5fv06NikxlLzo6Gq2traSSyjQgiouLybzM4XDgww8/\nJPn2/v5+JCYmorGxEdu2bYPJZEJmZiYplDLBKJlMhgsXLmBiYgKdnZ3UXX/w4EGabnjnnXdIKvz6\n9euIi4uDj48PZSiYVf2yZcsQHByMzs5OxMfH4+rVq/Dz84OPjw/Zt7MpCJFIhHPnzuH555+n1P7U\nvxUTB1IqlUhKSsLvfvc7ZGVlwWaz0RQCOxYw+Z1i95A7oVKpSB1TqVSit7eXsn6RkZEIDg5GSkoK\n6uvrsXfvXvj5+VFvAADKgDidTmzfvp2CgPj4eMTFxeHs2bPo7u6GVqtFdHQ0dDodnXNkZCR6e3uR\nmpqKxMREcBwHjUaD4uJiiEQiup7vl699UMDEVXp7ezExMYG4uDhcu3YNn3/+OYxGI8LDw8ntjY3D\nREVF4Rvf+AZ6enrgdrupy7S2tpZ2hxqNBkqlEkqlEunp6aioqIBeryfVMrar0+l0sFgs6O7uhlqt\nnhHhM539bdu2oa2tDcHBwWhqaqI/vNlshtPpRF9fHzUdsiaTW7duYc+ePQAmu14//fRT2O12jI6O\n4je/+Q05qun1evzTP/0T8vPzsWHDBvj7+yMvLw8ZGRl0HkuWLKFaeltbGyYmJmguOTIyEoGBgXQz\nZ0p9rAeCmbuw2u/UzMR0li9fjo8//phKLlarFfn5+R7p75CQENhsNly8eJFcCy0WC8LCwuhLGRQU\nBKVSiU8++QQ2mw0rV64EMBk8NDQ0zHhd1uTGmhNDQkJgNBopAExKSsKVK1fIAGs2nnvuOZKSvnLl\nCo3QjY6Oora2FklJSXC73RRUsOzA1DKKr68vPvzwQ1rkmM9GfHw88vLyqImNqf6xReXChQsAQG6L\nAMj6l12/bAY6LS2NBFs6OzvpPbEOclaG8vHxgUql8ghS2Ps7duwYxGIxxGIxEhMTUVdXR/VbAEhI\nSMClS5dQX1+PDz74gCyeHQ4H6urqPFK9dwO7ftLT0xEYGIhr165RN/7IyIhHOndoaAhpaWnIzc1F\nb28v6fMrFAq8/vrrGBwcxE9+8hN8//vfR0dHB/XcsIALmAxCi4qKcPbsWZrmmb7Ys2ue+aXwPA+D\nwTAj6JkNjUYDg8FAhk35+fl4//338Yc//AEBAQHkFzE2Nga5XI6hoSEEBQWhqqoKTqcTubm5+OST\nT5CdnU3uqr29vTRJxCZKZDIZLl26hNHRUQQFBdGu0+Vy0Xe+rKwMfX19sFgsSElJIWt3u92O1NRU\nxMXF4cKFC3C73Whra8MvfvELtLW14dixYwgJCUFoaCil+Xfu3ImqqipMTEygtrYW3/72t6mcwDKq\nDQ0NlAV84olJSZmppUe2cZLL5TRWzBwLmXAYaxZkI8zMlTAvLw8ikWjG57169WryVHE6nfDx8aHp\nsYaGBvj5+VFpAwDKy8uxe/fuOQNWlUqFnp4evPvuuwCAsrIyynwybt68iczMTCgUCnR0dNB3lZGX\nl4cTJ07g2Wefha+vL6kTKpVKpKamoqamBlqtlsZi7XY7kpKSEBwcTKPQ7DsYFxeHrVu30jWwEHzt\ngwKe56FUKrF06VJIpVLqUP74449hMBiQn5+PoaEhipjDwsJIjObgwYO0Y8nNzcWxY8egVqthMBiw\nYsUKeg3mF19VVYWSkhLaDQUHB8Pf3x8rV67E4cOHSUNgKtHR0Vi5ciXCw8Oh0WiQnZ2NX/ziF1i6\ndCnEYjEpHPb395NWwunTp1FSUoKJiQnobhsRBQcHY/v27TCZTNQpe/HiRRLzSUpKQkdHB3XgZmdn\ne3yZ5HI5dDod8vLy6AvMmJiY8Kgfs3SV2WxGf38/dcqz3fyd8PPzw/r16yltxsYzp6JUKuF2u+Fy\nufDCCy/gvffeQ2ZmJk6ePAm5XE6e7xs3bkRISAh8fX2Rnp4OYDJTUFJSMuN1mYcDAMoUdHZ20vmK\nxWLk5eVRSno2WE+J0+nE3//936O4uBjPPPOMx3OYciYAsqxl40JsYQOA73znOwBATW0dHR3Iy8uj\nLzwbcwUmb5yshs4awwCQRn9PTw96e3tpVEuj0eD06dOk08BKAwDIfXDqDXD6Aq7X6/HnP/8Zy5Yt\nQ2lpKeLi4mAwGDwyQH5+foiLi8Pp06cRGBiIv/7rv4ZCoaCMxr0GBQyJREKlGZ7nqYQwdUdnNpvp\nb6ZWq3H9+nWy0haLxVCr1SRjPjg4CJFIRKZW0+nt7SVnTW+o1Wry6hgaGoJYLJ6xY5+NyMhIXLhw\ngYIylp3r7u5GcHAwEhISKBg+e/YsLY6NjY0Qi8WIjY2FSCSifqb33nsPSqWS/oarV69GVVUVeJ6n\nz8rlclHPDbN4ZvoTy5Ytw7lz51BZWUmbDKPRiMLCQqSnp6O2tpZKPaWlpdi7dy9aW1uxdu1aagJm\nFuAhISFQqVRkCiSTycDzPJKTk0mngJXTvMFxHHp6euBwOODn50fNo2xCKScnBwMDAwCA559/HjzP\nY9++fTQN4g2VSkUByMWLF7Fu3TrU1NSQgVVsbKxHM3J5eTkqKyvpfjsb/v7+eOmll6iHqKamBjt3\n7qQ+KQa717Cy4PRzU6vVtOmxWq10Hen1erID9/f3h8FgQGJiIhnoMTEqhlQqhclkglarnbUcd7d8\n7YOCP/3pT/Dz86MIEQDWrl1Ltd+NGzciPj4eUqkUJ06cwK5duxAYGEjd0P39/VSrlkgkkMvl1BDH\nYH9Qpg/OFl62iDKjjLa2Nq8NQlMvKIlEQjKcU9mzZw8GBgbQ09NDhkfMxIbBMhd6vR4AaPGJjY1F\nbGwsRftMF2D37t10A2TpsL6+PlIUZDBhEvZF6O7uRnh4OFQqFdauXYva2lokJCR41PvuBHOYmw2m\n+scMW1hdjjWq+fn50Q2GiZuwaQipVEpNWVMDsKk3pKGhIURHR1O3PGPJkiXzOv/4+HgcPnyYykfT\nGxsdDgddEzKZDHK5nHQqmETv1ODJZDIhMTGRnCHZtcXqo+wzY2p4U7MOTJ+hra0Nra2tWLVqFTkc\nvvTSSwAm/17Xr1+n3wkICEBTUxPZJXvD4XBg48aNyM/Px/79+1FYWOi1pJKcnIx9+/YhJyeHAg/W\nNT3fBfNOsH4R5tTI5MYZzGSMYTKZZuzMlEolOjs7qbeD6SJMhY323alZKyEhAVeuXEFSUhIMBsO8\nr3dgciGwWq04dOgQampqwPM8bDYbOaCyRZUphTKNhZ/97GcICAigJkgWDE+dr2d0dnZiy5YtaGho\nQGRkJOx2O86cOQO3203y4kNDQ+QcyLJr7733HoaHh5GQkIDly5fTfW7lypXkATA2Noa0tDS88847\nMBqNWLduHXQ6HZYsWUIZ1hUrVqClpQVqtZrkiTmOg1qtRldXF5VNp8PuZ6wLn13/oaGhZBA2Pj5O\nmhMcx9EI9Xwwm81QKBT4zne+g9zcXGranQrLYKanp894bDrsuz4wMICQkJAZzYhTMZlMXt93bm4u\nLl68iPr6eo/3zLxVDhw4AKvVCrPZjNWrV+PcuXNk1Db1+pdIJCSDPtWT43742gcF3/rWt0ga+MyZ\nM1QLHx0dxYsvvkgppuLiYvT29qKzs5PmR9VqNRwOB/R6PSQSCRmJuFwu3Lhxw6PBC5isMYaHh2Nw\ncBASiYTSoKwGb7fbZ42WGUyBbToikQhqtZqsUfv7+0n7YDYUCgUuXbpEwiTh4eF47rnnIBaLcebM\nGdr1AJMXl0wmw+nTp5GbmzujaYUZuwCTXwadToeRkRHIZDJIJBL6si4ESqUSDoeDureZsqS3L5fN\nZoPZbAYwuQDbbDZy+Jut3ltWVgYfHx8MDg7eU3MOK+F0dHRAKpXSjZDR19dHCxgAai4LCwuj0aep\nQYHRaER+fj7UajV6enpo1I/ZJgOTNwuZTEYjqAy73Y7ExESUlZVBrVaTzv9UpFIpNRcCk4sb0xNo\namry+h45jkNOTg4CAgKgVCpJT2I6gYGB8PPz8xhPZI6IC3U9BAQEwOFweO0rYOO/wGTj5Pj4+IzA\nOzg4mAycWIDucrkotQ6AJHbvRGxsLKqqqlBXVweDweDxnufCx8cHO3fuhMvlgtPphMvlQnh4ONLS\n0hAeHk66F8PDw2hpaSEJZzZqduHCBQQHB5N7oDdcLhfi4+NRU1NDsshs45OUlASXy0ULpDekUikk\nEgnJabPPNSsrC8eOHUNPTw9CQ0MRHh6OvLw8aLVaKn0EBARAr9ejsrISSUlJUCqV9NmyKZ7ZggKp\nVIq2tjaaKmKbGqZkCIDGeJnxWEBAwIyN02x0d3eTIyEweT1Mv0aYJPWlS5ewfPlyAKD7/WzXcXt7\nO5KSkqiMynA6nSgpKSGFzqlZZYZMJkNRUZHX4+bk5CAjIwM9PT3o6emh65L979RMAdM4iY+Pn89H\nMS++9kEBE7FgjS7Hjh0jYw6NRgONRkP1Vdbcwi5eNmvP0j9hYWHgeZ7qbtOb6aKiolBUVISjR4+S\nUBEwGQkzrYK5sFgsUCgUHjfx6URHR+Py5ctem/mm0tnZidTUVIhEIhK+GB8fh16vh1wuR39/P0WX\n7BwTEhK83uxEIpFHUMBqpMzbYaqi3/3CBJ7Y+5u6wE6H7Z63bNlCfyeNRkOuctNhtVZm/DNb+nEu\nMjMzcfnyZTQ3N6Orq8sjALlx4wZF9cBkkHD8+HFqxmPTCQAoxRsUFESf6dSgYOrfmDU2sRosz/Ok\nL8AWzY6Ojhk7HX9/f7hcf1ECT0xMxOjoKIaGhmj86U7ExcWhra3Na1AwMDCAlStXIi0tjX4mEolo\nF7oQsKBALpd7NIeNjY1hbGyMMhJGo3FGloCdv9FoRFJSEnJycsBxHJRKJalV2mw2XL58GevWrZvz\nXFatWoWjR4/C7XbfdWNXcHAwNfINDQ0hOzsbwcHB6OvrQ2hoKH74wx+isbHRo98hNDSURGrYwj4b\nNpsNKSkpmJiYQF9fH7RaLerq6lBeXg4AlJZm/hgM1qfR19dH/VXMOwOYXHhYnwvzyZienWEN2iEh\nIaiqqvK4bpOTk3H9+vUZI51TGRkZwbJly7Bp0yb6WUhICMxmM9xuNwW7zAuCCXLNh+7ubo/rXK/X\ne816ZWRk4OTJkzh//jyAyWzZ6OgoaTZMZ3R0FAUFBbh586bHzysrKyEWi+neO1sQdiekUini4uIQ\nFxcHnufJfweARwZOIpFgaGhozrXgbvjaBwUMiUSCpUuXIjQ0FOvWrfP4YIODg/HNb34THMehu7sb\nf/rTnwBM7trLysogk8kQHR0NvV4Ps9mMkJAQZGRkkHDM2bNnqUbJsgiFhYW04IhEIqhUKhgMBmpU\nmg2j0YioqCh0dXXNSBUzlEolAgIC7liz5Xke/f39EIvFKCoqIqWrkZERXL9+HWVlZWhsbKT0MdO2\nz8nJ8Xo8Hx8fGpGzWCxITU3FwMAAhoeHPVL86dj4AAAgAElEQVTe90t7eztiYmIQEhLiERRMz8qw\n92i1WuHr6+vxpdDpdCQeMh3WLeztsbuBGRg1Nzfj0qVLHgtxcnIyNm/eTCUSp9OJ/v5+2O12ZGRk\nkHYFS5uyhSwyMpLq8QDIdZDB1P2OHz8Om80Gf39/DA4OUrc2u0lOTyNKpdIZO2M2jjgfdDodDh48\niNWrV8+4OQ4MDJDz3GLBggLWJMqY/l3yVr8FQPoOeXl5tNvasGEDjhw5Qo1wmZmZc/bDAJOLtE6n\nQ29v77w/v+mw4IDB8zy0Wi2++OIL9Pb2esjVqlQqFBYWIjo6GuHh4XdcCG02G2nks+/FypUraWQv\nJiYGf/7zn7F+/XqPYNjX1xfHjh1DWVkZTp8+jeXLl8+6kLG+F8bo6CicTif1BcXHx6O0tNSjNi8S\niZCTk4Py8vIZSpDAX8qc08sxIpEIMpkMQ0NDCA0NpYxPXV0durq6aIrmToG90+mExWKhrCOAGfV/\nhp+fn4cIGTC5iWKboemwSaLS0lL6bjGnxT179tzz9TEdjuOotCmVSmdkCgAs6KbskQkKgMlOfz8/\nP6+1TnZhPfvssx4/j4qKQk9PD3bs2AGVSoX3338f8fHxZGvKHPteeeUV+Pj4oL29HXq9Hps3b/Y4\njkKhQFRUFPr7++8YFDB7XbPZDIvFMmsEyHQQZmNwcJAW8KlIJBLk5uZi+fLlePvtt7Fz506aB3/h\nhRdotn0qzF3S4XCQZzobYRsaGlqwoKChoYEa9x5//HG6OQYHB3udKGB1YI1G43HeTEe9v79/Ru8C\nc6pcKHQ6HaVcGayjnxEfH4/c3FwyWLl+/ToMBgPi4+NhNBppIQsJCSHlvYCAgBl///T0dHR0dCAs\nLAzPP/881TLnWpB9fHw8LMSByZvlfHcXQUFBHuY/nZ2dJIY1MDDgMbu/GAQGBlI5aWrGyFtQ4C2b\nIRaLKTBnBAUFYevWrTh8+DCio6M9JnHmIjc3d9717PmgVCohFouh0+lmLNgajQaRkZFUqpsrUyCT\nyaBSqShTptfrcf78efrcBgYG8MYbb8yYmrh06RKGhobw4Ycfory8HOnp6TRqzK7trq4ucvdksJIo\nu6fqdDqUlpbOuLb0ej2qqqrQ3Nw8IxPZ09ODqKgor/dFplQZGhqK5cuXo7+/HzzP44svvkBMTAwG\nBgZmLfvwPI/e3l643e57nuGfPjnkDfZdDQ4ORmVlJVJSUhYsIJhOUlKSRzaMSUMvlHAR8IgFBVFR\nUbhx4waysrLm/TtqtRonT54kx7TOzk7yvXc4HOSAxr7Ig4ODXncrzHypr6+PbqjeMBqNSE9PJ3nR\n2W7cUxvkvNHX14eYmBgYDAavj4vFYkRGRsJqtVKdcraLn2nJm81mDAwMQKVSQSaT0Viiw+G47y+B\nxWLBxYsXERYWRulIBlMknI7NZsPY2NiMRV4kEiEvLw8XLlzAzp07aXfb39+PtrY2D02E+4WNE90J\n1usAgBqumChNZWUlfHx86Gbf19dH8tvTywfMSGrXrl133dnP+gpYUMA0CuaLTqdDeXk5vY+AgABo\nNBq6HhaTgIAADA8PUxPv6OgoxGLxjKDAaDR63QWKxWKoVKoZO0q5XI49e/bMedP3djxvZYp7JSgo\niPqYphMaGkrpbCa37Q1WmmQTF6WlpSgsLCT3TNaku3z5ctTX11MQAkwunqdOncITTzxBTb6BgYH4\nz//8TzLk8fHxwZUrV6DVavHf//3fpBPidDo9ZMsDAwORl5c345rgOA55eXkkmjY1iDcYDDNKUIyQ\nkBBqxA0MDKTSrlqths1mQ19f34wFn+d5lJSUoL6+Ho2NjdBoNAvS9DobCoUC9fX1VBpkY+KLwfTJ\nMLFYDIVCsWD9O8AjFhSo1WqcOnVq1rS8NzIyMqDRaJCWlkZqdMxbnOM4REVFedxsTCaT16aPhIQE\nyOVy+oLPBts5Tldwm85cF3lfXx9iY2PR09MzY7abwbS4HQ7HHTupXS4XQkJCYLFYqJ+Avf7AwAC6\nu7tJA/5eqaqqQlZWFsbGxmj0juHv7+91Rp35T3ibZNDr9SSuk5aWBrfbjfPnz2PVqlWzdgovFnK5\nHBcuXEBrays1g/X398NoNKK0tBTf//73KahyOByULtXr9R5BQUpKChITE+9p1G96XwHTZJ8vSUlJ\nGBkZIWvda9euUZPp3QQX90JAQAAFt8HBwTh69Ch8fX1JFpeVlmw2m9e0N5v59sZcjb8PmoyMDMpi\nOJ1O7N+/3+vzWJYAmOyFmpiYoM0HC0pHR0cRERGBzMxMHD9+HHl5eZBKpWhubkZiYiL5Xmi1WnR0\ndJA0uEqlopLU7t27MT4+ju7ubupNmJ59nS1zpNFoyGp+avnOYDBg7dq1Xne7oaGhM2r2PM9DoVDA\nbrejqqqKJnuAyfHp06dPY2JiAi+//DL279/v0aewGCQnJ6OlpQVWqxWrVq1a9O/DVBQKxbzKXnfD\nIxUU+Pn50U1kvuNETDiGdcT6+fnh2rVrM2brGcyBzRtMEXH6CBvDbreD4zjSMxgaGprfG/NCX18f\nli9fjqCgoBmz3Yzw8HAaTbtTk5XT6aTUZWdnJ5YuXUojikxEiTXV3StRUVGUHp8+Lgb8pdlwagDA\n3AhnKwesXr0ahw4dosAnMDDwrjrGF4qEhATKHonFYlRWVqK2thYHDx4kjQtGeHg4qbGp1eoZvS/3\nyvTGrLsNCmQyGaWcZTIZKioqcPPmzUXPEgB/6SkAJl0gWbaiv78f2dnZdA5M5346zEjqq45UKsXo\n6KhHbwjDbrdTUBAbG+uhGRIUFISuri4qwahUKnJsZMZQubm51K+xbt06OJ1O7Nu3Dw6HAw6HAydP\nnsSaNWuocbuiogIajQarVq1CU1PTvMuHWVlZKCkpIUU+l8sFm83mNbsK/MVNdSosM7lmzRr8+7//\nO1mpA5MBg06nQ1FREaxWK9xu94LW273BGgIfBFFRUXc1GjsfHqmgAJj8ELu7u+f9QU6/eTInRdYR\nO5WxsTHY7fZZb94+Pj40i+zt9afWl6f6HdwtDoeDpGG9Cb4wIiIicP78eXKZm42pGvmsp4DjOExM\nTCA9PR1Wq5WEQu6X0NDQGZkCwHtQ0NfXB5lMNuviplAosHHjRsq4eKs3fxkwhT1GZGQkmVXt3bvX\n47nBwcF4/vnnF/wc7jcomArHcVi+fDnOnTu3IFatcxEQEEBue1MXeJFIRAI5jwIcx0EikXhtEmX+\nAMBkYPmzn/2MMpgymQxWq9Ujk7JixQo0NjZiYmICWVlZpMHAGvfGxsZIgC07O9tjVPbGjRvgOA4t\nLS3Iy8vz0OWYC41GA39/fzQ3N0Ov19PInbdgDgCNBDY0NFCPEZtASElJwWuvvYYrV65AoVDgscce\ng0QioQ1XV1fXgu+iHwUeuaBAo9F4GN3MxdQ6LDC50wsODkZ/fz/Vsrq7u1FdXY2xsTGP+VxvRERE\noKOjw+sNubu72yMouFP54E6w0R8mVzvbcdiMuUqluuM5s8+ANRyx5wYGBpKL20IRGBiIiYkJWrQG\nBgZQW1uLpqYmNDY2evRI1NbWzrnQR0RELGhj4UKgVCqpGXG2jNNCM1WrwO12Y2xszKPL/W5JTExE\nZWXlgpmw3AmWKfjiiy9IP4GZmT0qAQGDBXfegoKpZaWpc/gymQzDw8MYHx+n5zCRnKmwrCKz+2bf\nLTY+yf5/VVUVnn76aZqWsNvtd1Wzz8rKQmlpKUZGRtDe3j7nBo1Jr0+FlUZSUlKQlJSEsrIylJWV\nkZ8LAI+GWIH588gFBRERERgeHqZmpbnwFpVrtVp0dXXRDbGyshJRUVEICQmZM8UbGxuLCxcueMxb\nT6WgoADA5BeUzQzPFkXPxtR54KCgIJII9YZarZ7Th5t9BlKp1OOzYEHBQnfaspShVqtFRUUFgoOD\nERcXh9bWVo+/WWhoKEnafpWQyWRIS0uDXq//0mrabHwR+EuT4f30gPj4+GDPnj13fW3eCyKRCE8+\n+SRGR0cxODiIkydPoqCgYEE7rr8qsPHS6djt9lk9OwIDAzEyMjLnhkWj0aCmpgarV69GZ2cnkpKS\nMD4+js7OTmoCLC0tpaAsISEBTU1Nd5110mq1SE5OJiGluUp6s40QMnx8fLBq1Sp89tlnqKurI6v5\n3t5eDyljgfnxyAUFrEfg/Pnz84puh4aGZjR2abVaXL58GStWrMDIyAiMRiM2b948LyEctVo9Qyt/\ntvMMCAiAzWa7Yz20v7+fpEwZLpeL5m3lcrmHi9501q1bR+c9m6EGmxGfHnXLZDL09vYueJ2eBQUq\nlQq9vb144oknaFRvql6BQqF4YLW8+4Hpu7M+lS+DqeWD+ykdTOXLCAgYLMhlWvHFxcV3NK76ujKb\naM/U8sF02L1kLhGdlStX4sCBA2htbaUF1eVykWDR0NAQWQMDk70y+/fvh0QiuetrYa6F/m4RiUR4\n/PHHcejQIVKNVCgUX3pT8deBRy4oACYv/p6ennk9VyaTzbj5qNVqDA8Pw+VyoaOjY8YEwkLBZF3v\nFBRUVFQgLS3NY3Gcqjs/VxmCTWHU1dWRxex0mHjG9MeYx/lClg+AyTEkg8GAlpYWREdHk9fB9u3b\nF/R1HiTr16//Uhe1qeWDux1HfNhg/g6L3UD2MHKnoOBOUylBQUFzBgVisRiFhYXkhiiRSCCRSDAx\nMQG73Y5bt27R1BU7JrNsfxhQKBR4/PHHYTAY4OvrO2vDt8CdeSSDgrCwsDs21s2Fj48PIiMj0d3d\njba2tkXbrcrlcpjN5lmbZQYHB2EymbBhw4ZZgxKZTAan0zmn8ldNTQ22bt06Zylh+rEBLEr5oKqq\nCjabbdGFcR4UC90xPBdTRxIXKlPwoBCJRLPO9X/d8VY+YL4qdwoKQkND5zUpEhkZiaysLI8yXURE\nBLq7u9HY2IidO3d6PD8hIWFWLZQHgVarFZoL75NHMihYCLRaLdra2mAwGOalmX4vBAUF3VE57caN\nG8jIyLjjYs+yBkwC1RtGoxFjY2N33TTGshELnSlQKpXkRyF8wReGxSgfPEgWIzP3VcDf3x9Go9Hj\nZy6XC35+fnf8TFiv0nyYntpXq9W4evUqwsLCZhgJpaWlPZAxX4HF48srCk6B47jdHMfVcBw3wXHc\nrPKCHMdt4jjuFsdxjRzH/YOXx/8Xx3FujuMWzg1inmi1WjQ3N0OlUi1a3Uoul1NT5PT/hoeH0dnZ\nOS+737lKCA0NDR5pwfnCgoKFXmBEIhHpNDyqN/+FRiwWY2xsDG63e8ZEzWJQXFy8qMd/VPFWPpir\ndHAvTP37RUREwGazebXmZf0KAl8fHlSmoArATgBvzvYEjuNEAP4DQBGAbgBXOI47xPN83e3HowGs\nB3B/qjn3CNMAWMyRMqZpsG/fPq+PL126dF4TFHcKCpittDejkrlgN6LFuCmkpKTgypUrC37cRxWO\n4+Dv74/jx49jeHiY7GEXi+LiYhQWFi7qazyKeCsfLFZQwP5+YWFhSEpK+tLGZwUeLA8kKOB5/haA\nuXamKwE08Tzfdvu5HwLYDoDZpP0/AK8D+GzRTnQO1q9fv6hjUXK5HC+99NJ9HycoKAhms9mr21dH\nRwcUCsWMtOB8kEgkKCgoWJSxOuZCKbBwbNiwgZQBH8XO/a8DX1amYCoikUgI8B4hHuaegigAnVP+\n3QUgFwA4jtsOoIvn+ZsLaQRxtyykKcpiEhYWhsrKStTX1894jOO4++qJ8GZiIvBw8mVIEgssLv7+\n/rBarThy5Aj9zGKxID09/QGelcDXCW6q5euCHpjjTgLw1rn2//E8f/j2c84C+F88z1/z8vtPA9jE\n8/xf3/73C5gMCl4HUAxgPc/zFo7jWgGs4Hne5OUYi/PmBAQEBAQEHmJ4nr+nHfOiZQp4nl9/n4fo\nBjBVwzYak9mCBAA6ADduZwm0ACo4jlvJ83z/tHN4cGkEAQEBAQGBrxgPQ/lgtoX7KoBEjuN0AAwA\nngXw3O1GQxKzv50pyOZ5fqaLjoCAgICAgMC8eVAjiTs5jusEkAfgc47jjt3+uYbjuM8BgOf5cQB/\nB+A4gFoAH7HJg2kIJQIBAQEBAYEFYNF6CgQEBAQEBAS+WjyQTIGAgICAgIDAw4cQFAgICAgICAgA\nEIICAQEBAQEBgdsIQYGAgICAgIAAACEoEBAQEBAQELiNEBQICAgICAgIABCCAgEBAQEBAYHbCEGB\ngICAgICAAAAhKBAQEBAQEBC4jRAUCAgICAgICAAQggIBAQEBAQGB2whBgYCAgICAgAAAISgQEBAQ\nEBAQuI0QFAgICAgICAgAEIICAQEBAQEBgdsIQYGAgICAgIAAACEoEBAQEBAQELiNEBQICAgICAgI\nABCCAgEBAQEBAYHbCEGBgICAgICAAICHPCjgOE7EcVwlx3GHvTz2v28/VslxXBXHceMcxykexHkK\nCAgICAh8HeB4nn/Q5zArHMf9CEA2gCCe55+6w/O2Afghz/NFX9rJCQgICAgIfM14aDMFHMdpAWwB\n8EcA3BxPfx7AB4t+UgICAgICAl9jHtqgAMC/A/gxAPednsRxXACAjQAOfBknJSAgICAg8HXloQwK\nbpcD+nmer8TcWYInAVzgeX548c9MQEBAQEDg64vvgz6BWcgH8BTHcVsASAHIOY77b57nX/Ly3G9g\nltIBx3EPb8OEgICAgIDAIsHz/Fwbaq881I2GAMBx3DoA/5vn+Se9PBYMoAWAlud5p5fH+Yf9/X0Z\nDA8Po6KiAt4+C47jkJWVBaVSedfHdbvdOHToELZv3w6Ou6fr7478/Oc/x89//vMFP+6jSltbG6xW\nKwAgISEBAQEBi/Zawt9ucTCZTCguLsbTTz9NP6urq4PRaMSaNWsW7HWEv99XG47j7jkoeCjLB17g\nAYDjuFc5jnt1ys93ADjuLSD4MjCbzXC779jy8FDQ1dWFsbExxMfHz/hPLBajurr6no7rcDjQ398P\nl8u1wGcssBiUlJTAbDajoaEB7e3tD/p0BO4Bh8MBf39/j58FBgbCZrMt2GtcvXoV/f39C3Y8ga8W\nD2v5gOB5/hyAc7f//5vTHnsXwLsP4rwA4NixY8jMzERqauqiHN9iseDgwYOzBh6ZmZnIysqa8zjD\nw8PQarWIj4+f8VhoaCgOHz6M1atX3/Vun92IvN2oBB4u3G43RkZGUFBQgIqKCjgcjgd9SgL3gMPh\nmJHhkclksNvtC3L8zs5OVFVVwWQyLcjxBL56PPRBwcPK4OAgbDYbWlpaFi0oMJlMiIiIwGOPPTbj\nMZfLhU8//RQpKSlzpoHNZjN0Op3Xx4KDgyEWi2E0GqFSqe7q/FhQYLfbERoaele/O59jL2Q69FHH\n5XJBKpWC4zj4+/tjeHhx+3ILCwsX9fiPKt6CgoXKFDidTpw7dw4bNmxAfX09XTM8z6OpqQmJiYn3\n/RoCDz9flfLBQ0dbWxtSUlJgMpkWbdc1PDwMpVIJsVg84z+5XI7k5GRUVlbOeRyz2Yzg4OBZH9fp\ndPeUTp6aKVhozpw5g5CQkAU/7qPK1MXE398fTufiVtyEoGBxcDqdM4ICiUQCnucxNjZ2X8e+dOkS\nkpOTERUVhccffxxdXV0AgKGhIZw9exYGg2HG75jNZrS0tNzX6wo8XAhBwT3S3t6O+Ph4xMbGLtqX\nYq7FfNmyZWhubqbmMW+Mj4/D5XJBJpPN+pzY2Fi0tbXd9fnZbDZIJJIFS10y3G43jEYj6urqvDZH\nCtw9TqeTSjz+/v5f+fLBlStXHsnFaLZS3UJkC/r6+igbEB0dTUFBd3c3pFIpampqZvzOjRs3UFtb\ne1+vez/09/ejp6eH/rt8+TLOnTuH0tJSOn+Bu0MoH9wDdrsdVqsVkZGRGB8fx/Xr15Genr7gr2M2\nm5GSkjLr41KpFKmpqTh58qTHrprjOKxcuRL+/v4wm82Qy+V37BcIDw+H0+mE1WpFUFDQvM/PZrMh\nIiJiwRcYk8kEuVwOX19fdHZ2IiYmZkGP/zAwNDR0TxMf98qXnSlYTK5fv46bN28iMTHRa5/M1xlv\n5QNgsq/AZrPd8zU1MTEBm80GuVwOANBqtbh69Sp4nofBYEBubi4uXrwIm81GG4yxsTE0Nzcv6hTL\nnTCbzfj888+p7Dk0NISKigpotVqsWLECFy9exDPPPPNAzu2rzCMZFPA8j9HR0Xk/XywWeyyqbW1t\niImJAcdx0Gq1KC4uht1uR2Bg4IKe51yZAgBYvnw5FAqFRzNiQ0MDOjo6kJycPK9jcByHmJgYVFZW\nIjIy0utzdDod/Pz8PH5ms9kQFxcHo9E4z3c0P/r7+xEREYHw8HDU1dVRUDAxMTHjuSKRaEFf+8vi\n8OHDKCoqgkajmffvdHV1weFwICkp6a5fb+oO86sYFHR2dmJ0dBQWiwW3bt1CYWHhPU/NfJW5U1Aw\nNWNnMpnuqs/HYrEgKCgIPj6TyeOgoCBIJBIYjUY0NjbCarVCp9OhtrYWK1euBAA0NzcjIiICvb29\n9/mu7kx3dzeGhoY8fqZSqTA8PIzY2Fg8/vjjcDqd+PTTT/Haa6/B6XTi8uXL6OzsRHl5OTQaDWJj\nYxf1HL9OPJJBQWlpKRobG+kLcCcmJiaQmpqKvLw8+ll7ezuWLFkCAPDx8YFOp8PRo0fh7+8PjUYz\nr4mAuRgZGYHb7Z6zq18kEkGv13v8zO12w2AwzCsoGBgYQGBgIDIzM3Hjxg10d3fPeE5vby9EItGM\nXRnLFHR0dNzFO5ub/v5+aDQaJCQk4NKlS7DZbHA6nfjss888/mZutxtbt26dNZB5WBkbG4PL5UJz\nc/NdBQUdHR2oqamBv78/oqOj7+o1nU4n7QIlEgnGx8cxMTFxX0FVVVUV9Hr9ok+ejI+P4/jx44iP\njwfHcdi8eTMkEgkuXLiwqK/7MDJbUDC1fGA2m3HkyBHs3buXHne73eA4btaM4fDwMBQKT5NZrVaL\n8vJyNDQ00HVaX1+PhIQEDA4O4vjx40hNTYXVasXIyAgkEsm838fQ0BAFphEREXe8DktKShAZGUmb\nEofDgdbWVsjlcqjVajidTpw8eRKJiYm0+CuVSnzyySeor69HfX099u7duyhaKl9HHrmggOd5tLS0\nYM+ePfPa2be2tqKpqYn+PT4+jr6+Pqxfv55+tmrVKhiNRrhcLpSWli5IUDCfHf5saDQaVFRUAJj8\nskdFRc36XBZJr1ixYtbmsLKyMjgcDo9AZWxsDDzPQ6lULnhPQV9fH5YtWwZfX18kJibi0KFDGBgY\ngMVi8Zj0aG5uxq1bt75yQYHVaoVUKkVraysKCgo8Ah2r1YoTJ07A7XbDz88PTz75JN0wnU4nlixZ\nguLiYmzdunXW68PbDdbhcCAiIoL+zbIFd+o1uRMmkwnl5eUQi8VITk6+p2PMF7vdDplMhscffxzF\nxcX4/PPPAUxeu263G2KxGMDkwrhjx45FPZfFwGazobi4GNnZ2Xe8llkj4fSMHTCZKWA7dqvVip6e\nHoyNjdFzz507h+jo6BkbCMb0oGBkZAQ8z+Odd96hbMDRo0ehVCpx6dIlZGZm0gRLb28v7Hb7vIMC\nq9WKzz77DGFhYbBYLMjKypq1TDo2NgaHw4G1a9fSom61WnH48GE4HA7I5XIcOHAAKSkpyM7+/9l7\n7+C47/vM/7XYXSy2oC+ARW9EIQoBFgFgp0hVylShZblJdsaZ+HR3MylOz0xmnEx+vtyc5hI7LooT\nK7IcS7IKKVIkBRawgSgEQDSiL8oC2MUWALvYiu37+4OznyNEUKYtOZPx3XuGIw3KYsv3+/k8n+d5\n3s97p/i9nJwcnn76aXp7ewkGg9jt9s+8Q+q3tf6vAwUWiwWNRvPAVL/ZbOb06dMsLi4Cd26eubk5\nYrEYEomEhx56iLq6OnEzt7e3f6KU4HA4uHnz5n3/3q5du9BqtZ8KFMQ9BE6nE6fTed+WyVAohM1m\nIxKJsGvXrvs+nkqlwufzMTw8jM/n4+DBg0JbVCgUeDweAoHAp0LiUqkUqVSK3+/H7/eLBaq5uZnK\nykp6enrQaDQbXovf72diYmLTls3fdMVisV/L2JWYmIjb7SY7O5tAIIDJZNpw6l9YWCA1NZWdO3fy\n0Ucf4fP5hM9jfX2d6upqsrOzOXXq1KYmzGg0yt69ewWTFa+Pu9Y/LSgYGBggPT0dq9X6HwYK4I6E\n8vjjj6NSqZDL5ezYsUPceydPnvyVfDF+v5/W1laKi4vZvn37b+z5/7Ky2+14vV6uXr1KRkbGhufv\ncDiQSqVkZGSgUCjuq9/fzRQYjUbGxsZYXV1Fp9OJx0lKSkKhUGwquwwODpKWlsbs7CyBQIBIJEJ+\nfj5Hjx7l0KFDFBcXc+PGDRQKBcXFxXR0dPDQQw9RVlZGW1sbXq/3gbuFhoeHqampoampCb1ez9zc\nnLiGPr6G2O120tPTN3xdo9HgdDrx+XyEQiEeffTRDYA3Xrm5ubhcLrKzs7Farb8xUDA6Osrk5CQA\npaWl/6HXktvtZm1t7VdmDj+p/q8CBZOTkwwODoobJV6BQIDOzk7279/PBx98gMvlEt8bHBzEarUS\niUTIzc2lvr6e5uZmmpub8fl8nDt3jmg0yrZt24A7Wleckt+sxsfHUavVm+YGzMzMMDc396lBAdxh\nC5aWlnA6nffQgvGyWCxkZ2cLKu9+NLBKpWJtbY1QKCRCTTweD0lJSbzxxhv09/cjkUh+Jfrw4yWT\nyXjuuedYXV0lOztbLAIJCQlkZmYSjUYpLS3dcGNv2bKFc+fObTgR/UdVd3c309PTyGS//BZyOBxi\n0UhKSuKll14iOTmZgoICZmZmNtzQS0tLlJaWkp6eLnTiu0GBUqkkPz//vr6C27dvb5pB8HHa+dfx\nFcT71h0OBxaLhUceeeQ/hMKPg+xQKEQwGESr1SKRSMjNzSUYDIp7LTs7m+Xl5QcCBevr65w9e5b8\n/HwmJydRqVS/cXBzv/J4POTl5bFnz6FQq14AACAASURBVB6mp6c3tBb29PQQiURoaWlhbGzsvhvv\n3Z6CpaUlotEoU1NTYq2Lp69OT0/T0tJCQkICer1eMFIZGRni/pZKpWzbto3m5mbeeOMNioqKkMvl\nNDU18f7777Njxw5eeOEF4I68GovFPrED6u5aX19nenpa/H5hYSEdHR0MDAwQiUR46KGHNvz8Zid8\niURCMBhkaWmJ559/flNAAHfWjqKiItxuNzab7TeWJ2MwGNi6dSuZmZm0trZSXl4upLrfdJlMJqam\npv4fKPh1q6enh/HxcYE+4xu5zWZDr9fj9XqRy+UbtDipVIrL5eKLX/wip0+fRiqVUlNTg0wmIyUl\nhWPHjnHmzBnm5uaQSqXo9XrGx8dpaGjgyJEj4nGCwSBSqZSFhQUee+yx+97cw8PDwB1GorS09Nd+\nrbm5uUxPT3/iZm0ymSgoKECpVGI0Gu8bThJnCrxeLx6PR/yLRCKkp6fzxBNPsH///l85/OjuGhgY\noK2tDZ1OR3Z29j3f38ytn56ejkKhwGKxfKY3xS+rWCzGzMwMTz/99AMBt6GhIerq6ti2bRt/+Zd/\nyezsLAqFgoaGBm7duiW0/VgshtlsZu/evcCd9/1uaeaTgFu8NBoNZrP5nq9//Hd/VVAwOztLW1sb\npaWlBINB6uvryc7Oxu12EwwGBYX/m6g4KIgD5ThgTEtL2wCA4oD8QToSzp8/T2lpKTt37qSmpoYP\nP/wQjUbziVLbZ13r6+uEQiGcTqfYjD8OTN577z1isRg1NTXCWb9Z3c0UWCwWUlJS0Ov1HDhwgPX1\ndaLRKJ2dnbz00kts2bKF8+fPk5CQgFarZXFxEYvFQkVFBUePHuXGjRt88MEHzMzMkJGRsUGeycvL\nY35+XjxPqVRKcnLyA5uNR0dHKS8vF9diUlISaWlpzMzMbHov2e32TddKg8FAZmbmLzUQlpaW0tXV\n9ZlLnHeXw+GgsLAQjUZDXV0dt27d+kzZy1AoxIcffsjx48e5cOECLS0tAnT4/X5WV1cFc/1Z1P81\nOQWBQACXy0VdXR2HDx/m9OnT9PX1MTQ0xK1bt0hNTeXUqVOYTCaxSPt8PqRSKSkpKSQmJrK+vo7F\nYtmATOM6ZlNTEzt37mTfvn1kZ2czNze3oSOgu7ub7u5uotHofQFBfFGLxWK/lClYX1//xFbAvLw8\nTCbTJz6GyWQiPz+fwsJCIY9sViqVCo/Hg8vlorCwELPZjMfjIRQKodVqBWj4NNXY2IhcLmd4ePge\n5B8IBAiHw/ewLykpKSQlJW0aqvKbLKvVilKpfGAmx+12k5mZSVpaGlu2bGFwcJCBgQHGxsbIzMwU\n/dR2u52kpCRxoler1WIxi0ajBINBkpKSPvFvxVvT7q5wOLxBe4c7n+mvAgqmpqbYu3ev+GxqamrE\npvKbzsn/OCiIV1pa2gZXevz++Xg5nc4N4VyxWIyVlRVB86amptLc3LxpH/5mpdfruXjx4q/7ckSN\njo7S2dnJwsICY2NjhMNhYrEY0WhU/LNarTidThITE/F6vfeVD+RyOVKplEAggNVqpaGhgfn5ea5f\nv86JEyfo7e1lbm6Oubk5/umf/onu7m5CoRDLy8uEQiFMJhN2ux2bzYbVaqWyspLjx4/z1FNPbfg7\nBQUF95iRMzIyHggUBINBxsbGxGEsXkVFRRgMhg0MbbxWV1fFermyssLAwAD9/f0sLi5u8BDcr3Jz\nc/H5fKI74VfpOnuQCgaDhEIhIW/V19djNBrv6Zb4NGW321lZWWF9fV18TvHy+/2EQqEHZmoepH7r\nmYLh4WGkUqnQcIuLi5meniYxMZHOzk5B7fr9fpKTkzEYDMzOzlJdXY3VakWn0wl6PRwOo1Qq71mY\nFQqF0DXT0tIYGxsjKSkJv98vbmK73Y7T6fzEU0xSUhJJSUmsra3hcrk+cdO5efMmCoWC3bt3b/r9\n5ORkkpOT7/sYfr8ft9tNVlYWGo2Gnp6e+6JNlUqF3W4nLS2NgoICzGYzkUhEULnw6VMNJRIJDz/8\nMJcvX76HKXA4HKjVam7evEkkEkGhULBz505SUlKQy+X/4aBgdnb2V+qPd7lc4kRTVVXFv//7v3Po\n0CEmJyfR6XSsrKxQXFzM0tLShm4EtVot3tf19XURU/xJtRko2IxhSEpKeuDTUxwMHzlyBLlcTn19\nvfheTk4O58+fp6mpacPXP8vyer3k5+djt9s3XM/p6en3MAUrKyv3XMdxjT3e2hp/L+82eBYUFNDZ\n2flLT1yBQIDu7m7C4TDhcPiB5KP71eDgIGNjY+Tl5eF2u7l8+bKQF+PPc2hoCJlMxs9+9jOGhoZ4\n4okn7vt4arUat9vNysoKR44cQa/X89FHH6HVanE4HOTm5rK4uIhEIuGLX/wiBoOBaDRKf38/JSUl\nTExMkJKSwtNPP82HH35IYmLiPa8vPz+f3t7eDe9TZmbmhlkJXV1d7Nix4x6Gsru7m7Kysnuo9cLC\nQhYWFsjMzLzn/b+bKRgbG8Pv95OSkkJBQcEDgfLExEThe5qYmGDv3r2bMpG/bjkcjg3yrFwup6Gh\ngWvXrpGfn49UKqWxsfGeTje3201HR4cA60eOHLnvdRcHGDab7R4AEB9GF892+Szqtx4U+Hw+xsfH\naWpqEovL1NQUn/vc5/jBD37AX//1X3PhwgVGR0d5+OGHmZiYYHh4mOrqasEKBAIBvF4vgUDgvvRd\nvJRKJXK5XCQJqlQqYrEYDoeD+fn5Xxr/mp2djcFgQC6XEwgEOHHixAbGQSKRUFtbi8Fg+KWu+/z8\n/PveOEtLS+h0OhISElCr1fj9fn76059u6j+QSCSCos/Ly+P27duo1WrW19fRarVCWvhVKhwOs7y8\njEqlEs8xKSmJo0ePAvCTn/yEYDBIamoqGo0Gm81GWloaubm59PX1UVNTg0qlQqlUsrq6el8K2+12\ni401MzPzUy3icOeUOTc3d88J6pPqbvNbeXk5y8vLZGRksGPHDlpbWyktLcXv92MwGNiyZYu40RMT\nE8XJ95dJB62trTQ2NqLT6QiHwxt8Fpul4CmVygemfGdmZiguLt7Ut5Gamsrw8DBarfY3Bgo8Hg9q\ntZq5ubkN9L5arSYYDIrPXqFQkJSUdI+PZnp6mlOnTmE2m8nNzeXQoUP3nLiVSiUqleqXzgDp6emh\nvLyc1dVVzGbzryRb3d2GB9Df34/dbufatWvs37+ft956i+LiYl5++WUUCgV9fX0YjUacTqeQKT/J\nO6PRaFhaWiIWi5Gfn8/q6ipKpZKmpiYWFxdpbm5GrVZz6NAhnE4nbreb8vJyzGYzJSUleL1eWlpa\nsFgs9PT04HA4xHV7txcmMTFxg9aflZUlElHjA5U+ng2wuLiIyWTaNEwoNTWV9fV1IpEIPp9PgCK3\n241cLmdiYgKbzUZ3dzcVFRUEg0Gqq6sf+CCSnp7O7OwswWAQp9OJQqFArVZ/6rUA/k8U/d1VW1uL\nRCIhHA4zPj5OYWHhPddUb28vycnJFBcXc+XKlQ1m2o9XnBm4u7skXn6/X4CyTyM3312/9aCgpaVF\nRObGe3W1Wi1zc3Pi5na5XMRiMXJycggGg0xPT3P9+nXa2to4duwYCQkJwiF8NxpzOBziA4rT6HDn\nJpmbmyMQCAAId77Var2vZhmLxYRhb35+ntTUVOx2O2q1moMHD4qfCwQCvPPOO9hstl+aJLZnz577\nos+4dBCvtbU1ioqK2LNnzz0/Ozw8zNramtD/gsGgAElx6nAz2vZ+1d3dzdjYGOnp6ayvr/OFL3zh\nnsVubGyMQ4cOUVZWxtmzZwmFQuzfv5+kpCSmp6dxuVwolUrS0tLEzafVavF6vRiNRqxWK263m/7+\nflQqFZFIRKD4OGrPyMjgySeffODnDXfQukKhEJuOx+Ohv79/QyeARCKhublZZNJ7PB6xuGo0GpFT\nv2XLFoqKijh37hwrKyvcuHGD5uZment7gTsZEvEbPQ4KPh7gJJFI8Pv9LCwsEI1GOXr06D3pdpv1\ntv8q8oFer6e6uppbt27dQ9nGgZ3dbhdGxHA4TGtrK+FweMPPNjc3P1D7qNlsJhgMik0lvlF8vJNG\nIpGQmprK2tqaOP3FJYS0tDSWlpZYWlqip6cHpVJJVlYWer2ehoaGe6Qoq9UqNtX7gYLl5WXm5+d5\n4YUXGB0dxWg0PjAoiEQiog0P7tzHer2eL33pSxgMBlQqlfgM4+19U1NTlJWVies9EokIhm4zAOz3\n+zlx4gRwZ21SKBSiC0kmk1FbW8vU1BR6vZ6JiQkSExPZsWOHYBj27dtHZWUlly9fZs+ePdTX14u1\n8cKFC5w/fx61Wo1Wq8VkMm0ABfHTbH9/v1gT4p9fIBCgvb2dgwcPbgpq3G43hYWFmEwmrl69SnV1\ntchCyMzMZGxsjB07dnD79m0KCwtRqVRkZWUxMTHxQMA2FAoJU7XT6WRiYoLKysrPxFi6Wb6DVCoV\nADnO3Nx9TTkcDkwmE1/60peQy+WkpqbidrvvAQVGo1F0viUkJIgOlLtllkAgIADgZ1W/9aAgrh9e\nvXqV4uJizp8/LzoJvvCFL9Da2src3BwFBQXI5XLS0tJISUnhypUryOVyuru7uXXrFuXl5fT19bF/\n/370ej2JiYlcv36drKwsYrEYq6urHDx4EK1WS1ZWFuPj4+LE53A4kMlkKBSKTXvIY7EY7e3t2Gw2\nbDYbTqeT/fv34/F4SEtL2+CmTk5OZsuWLYRCIVpbWzdd2BMSEjh8+PA9AGR6elpQ8MFgkM9//vPA\nHSRqt9uRy+WbUmvxGOT4IqPT6bh27RoNDQ1IpVLUavUDD1RaWVlhenqar371qygUCq5fv05vb+8G\nMBI3X0WjUbKzsxkeHuYrX/mKkG1SUlJwuVzk5OSQkpKCQqHAaDRiNBpRKBQUFBTQ2NhIa2srv/d7\nv0d1dTWxWIzLly8jl8s5cOAAAKdOndrUwLi8vCzatuLuaplMRn19PaOjoxsQ+ezsLF6vd4OccPv2\nbVZWVsjPz8fn8+F2u/nJT34i6FSJRMLa2hoej4dDhw5hNBo5cOAAarV6w0nq9ddfF6eEuJ74b//2\nbxuAnkwmo6WlhZKSElZWVlhZWbkHFHy8HTFOp8dP+PermpoaQqGQMJgODQ1RU1MjWIdIJMLc3BwV\nFRWkpKSwuLhIRUUFa2tr+Hy+DazYxMQES0tLDwQK5ufncTgcFBcXE41G8fv9YrLjxxfguITwcVCQ\nl5fHT37yE1QqFVNTU1RWVmKz2bBYLJhMJiQSiegqGh0dZXFxkaSkJKGpP/bYY/c8r9HRURobG0lM\nTBRJpg9aFouFjIwMPve5zwHQ19dHU1MTzz77LK+//joajYZ9+/YJI3RycjKLi4s0NDSwtraG2WxG\noVDgcDh444030Gg0wiQMdzpxwuEwi4uLuN1uhoeHycrKIj09nf7+fvR6PW+//TYej4eSkhLW1tZI\nSEjg0qVLLCwssLS0hNvtFp9fvDNGLpdTWlqKz+fj9u3bdHd3k5OTg0wm47/+1/8qXPcej4ef//zn\nJCQk0NLSIrptAEZGRsjPzyc/P3/TltG418tqtbK6uirW27hcZDKZyMnJQa/XU1xcTEJCAoFAgFu3\nbj1Qp0k8AG14eJitW7fi8/k+M83f4XDc0/57d6nV6nuAy61bt9i2bZsASJtJfnDnnrFarUL26uvr\n45FHHtnw3P1+P/n5+Z/pHJDfelDgdDpZW1vDYrHw1FNPYTQa2blzJzt37kStVgt0nJWVxerqKhqN\nhkAggNvt5uDBgyQmJmK1WtmyZQsGg4Hz58/jcrnQarU8/PDDYuFVKBR8//vfJxaLsXfvXsbGxtBq\ntZjNZvR6PaOjowSDQdra2u45ta2trRGNRnnmmWe4fv06/+t//S/+y3/5L+j1eoEenU4nJpMJi8XC\npUuX2L9/P6FQiKeffvqex1tYWKC1tZVnn32WjIwM5ubmOHv2LCsrK+zcuZOkpCQGBgbo6+tDrVYz\nNDQkWoU2q9TUVLxerzidpKenY7FYqK+vZ35+Hrvdzvz8PNFolJmZGYLBILW1tZs+VldXF7t27RIb\nZHNzM++88w4qlUq8lzabDY/Hw9zcHGVlZZhMpg2gIQ4K4v+vVCo3sClwZyHQarUbTrZHjx7lzJkz\nzMzMsG3bNjEd8uOgoL+/X7jcL126hFQqZWZmhkOHDpGTk7MhaMVsNlNZWUl5efmGr3k8HtxuN6ur\nq1itVnJycvj617/O9773PRITE0lLS+P06dPAnVZZqVRKc3MzXq+X3t5eDh06RHp6Onq9HrizsXu9\nXp599tkN7axvvvmm2PRyc3MZHBxEo9EwNzfHjRs3iMViWCwW9u3bJ35ndHQUiURCNBq9r3GxtbWV\nX/ziF9TU1LBz504GBgZYWVmhvb2dQ4cOIZPJePfdd0lOThb97bdu3aK0tBS32016evoGgOl0OoWZ\n9Zfp9l6vF6vVitVqZWhoCJVKhd/v37STZrMOhNnZWW7cuIFareaRRx5haGiIlJQUUlJSyMjIYHx8\nHJvNxvr6OhKJhOLiYurq6jh37hw3b97k4YcfZm5u7h46dmlpSZgTtVqt+Ezi7ZKfRO0vLi5ukB4n\nJyfJycmho6MDh8NBSkoK+/btY2RkhLW1NeRyubgncnJyMJvNyOVyLBYLmZmZHDx4EJPJRDAYxOfz\n0dbWhkQiIRKJcOjQIeRyOQsLC6jVahFk5Ha7qa+vp7GxEb1ez+OPP86NGzcIh8MUFBSwb98+urq6\nsNlsPP3008IUODU1JeSFaDRKYWGhMEFu3bqV5ORk1tfXuXr1Ks8//zyZmZkbwpOmp6c5fPgwZrOZ\nDz/8kPLycpqamsSG7nK5RJSx0WjE4/HwhS98gdXVVdLT0wmHw7z22mvodDp2795NIBAgNTUVn89H\nfn4+mZmZZGZm3rcDZmVlhfT0dGw2G6dPn+bAgQMbzHqfpjYDqisrK8LUubCwQE5OjhgDv7q6isVi\n2QCY7wcK7HY7sVgMlUrFnj17+Ku/+iueeeaZDQmyfr+frKws/H6/WAc+bf3Wg4J4ot/6+jqHDx/m\nzJkz7N+/XyxKcXdreno609PTDA0NCe0yJyeHS5cuMTw8THt7O7t372ZycpKpqSm+/vWvCxeux+PB\n7/dTUFBAR0cHzz//vDj9T09PMz4+zurqKs3NzUgkknsMIenp6VRUVCCTyfD5fEgkEr773e+Snp5O\nVVUVDQ0NnDx5krKyMqLRqBgEc+XKFXw+n9jUxsbGsNvttLa2Mj09zdmzZ9myZQtyuZySkhKOHz8u\nNlu73c7y8jJZWVnY7XZycnJoa2tjdnaW7Oxs0YGh0WhISUnB6/UKDS5uCIpTcX6/n8HBQaampnjt\ntddISUnBarVy4MCBDbrd3NwcwWBwA22nUCioqKjgtddeE6eoqakpEhISMJlM6PV6srOzsdlsfPDB\nB0SjUex2O9u3b8fr9RIOh5mfn6empkYsyl6vl66uLp588sl7GIy4oSw1NRWpVEpPTw9arVYs2H6/\nH7PZzOHDhxkfH+fhhx9mz549nDx5kj179uBwOOjt7RVUtsViEcxDvOI3eV9fH3q9nnA4LDa0cDiM\nRqNhz549YtPJycmhqKiIiooKlpaWmJ2d5eDBg6SkpIiTcnwD+ji1nZKSIhbdxMREBgcHSU1NxWg0\nUlpayv79+/nxj3/M4uKiyKz3+Xzs3buXhYUFtm3btukGHQ+zeeyxxzAYDPT09PC5z32OK1euYDQa\nmZqawmw28/u///tUV1cjl8t59913SUhIoKCggJGREVpaWjhz5gxNTU2kpqYyMjLC+Pg4BoPhE2Wb\neJvjtWvXhN59P+NtZmYmFy5cYHx8XLA6nZ2dAlQVFRWRnp5OXl4eoVCIaDRKe3s7u3bt2gAYvV4v\nPT091NTUoNPp6O3tpaSkRLw3TqcTQDwHiURCfn4+RqORqqoq3nvvPR599NH7Mi+Li4ui1RTuXONy\nuRyn00lycjKjo6M89NBDjI2N0dvbS2FhoTAL63Q62traWFhYEJ0FGRkZG7qYTp8+zfz8vJBzwuEw\nqamp6HQ6iouLqa6uxul0otVqsVgsBAIB0tPTKS8v5/HHH6e/v59wOMy2bdv44Q9/yPLyMoODgxiN\nRnbs2MHKyoqQ4M6dO0dxcTEDAwNcvHiRWCwmgNepU6eYmZnh5s2bLC8vs337djweD1KplOHhYYqK\nikhISODb3/423/rWt1AqlVy/fh2fz8cLL7yA0Wjk5MmT4rChVqs5c+aMCFcbHBwkFosRi8Xw+/2M\njo5SVFTErVu37pGr4pWTk8PAwADHjh3jxz/+MXv37t2UKYjFYsLMCHeoeZ/Pt+Fxw+EwXV1d4p7W\n6XQYDAZmZmaQyWR4vV4ikQhOp5MXXniB27dvC0NhQkICk5OT1NbWblgXk5OTN5VfHQ4HPp+PjIwM\nsrOzUavVTE1NiX0iniwb99Jcvnz5/4GCBymHw4HX6yUtLY35+Xny8vLucbeWl5ejVqtZXV3Fbrcz\nNjbG888/T0ZGBgsLC5SWliKRSPjmN7/Jz3/+c8LhMIWFhcLoFKcdXS4XiYmJ5OXl8d/+23/D7Xaz\ne/du/vZv/1a4nfPz8zecNCORCK+88goFBQXYbDba29tJS0ujr6+P5ORkpqen2bt3L4mJiRw4cICr\nV6+yZ88eamtrycnJYXh4mPz8fBYWFnjvvffIy8tjcXGRr33ta/zLv/wLFy9epKamhpKSEnp7e0lL\nS6O/v5+ysjKuXbuGRqOhubkZi8WCVqvlvffeIxqNkpmZidfr5fjx46I9Kq5n+/1+ysvLeeaZZ9Dp\ndMRiMW7duiWSzXQ6HVKplNdff/0e1+2TTz4p3v9QKEQoFCIlJYXMzEzq6urIy8vD7/cTDoepqKgg\nJyeH/Px82traePbZZ8nKyuJf/uVfsFqtXLp0CYvFQkdHBxaLhW9+85vAHWOc0WjcAAjipiW5XI5e\nrxeLk16v59y5c4K2X1hYoKCgAJfLJejK1dVVpqen6e7uFvpnIBDgxo0bBAIBysvL2bdvn6BGNRqN\n8DSYzWasVqvoKogvxna7XYCCjIwMsUjFX7vL5UKtViORSPB6vayurpKYmHiPFh5fIONfb2lp4cqV\nKwwMDIj3u6ysjJmZGXGqjf9XoVDg9/uJRqP09PSI3upgMMitW7fIzc3llVdeoaamhueee47HHnsM\nt9tNUVERGo2G1NRUkpOTUavV7N27F6vVilwu5+zZs0gkEs6ePUtJSYkIBnM6nUxOTuJyubh9+zbB\nYHDTtrLR0VF8Ph9OpxOJREJCQsKmJzK408720ksv4XA4OHPmDF/96lex2+3C0e73+1EoFGzfvp2T\nJ08yNDTEyMgI2dnZvPfee0gkEjEISCqVsrS0hNfrZdu2bej1erHImkyme+ZUxNvzMjMzcblc2Gw2\nMjMz7wFZHo8Hp9NJa2srR48eFcBy165dBINB8vLyUKvVjI6O4vf7mZ2dZefOnYRCIZKTk8nLy2Ng\nYACXy8X4+PimITx79+7lxIkTLCwscPv2beRyOSaTiYSEBCKRCAUFBUI6+eEPf4jP5yM7OxuFQkFL\nSwvnz59nbGwMj8fDnj17iEajLCwskJeXR2ZmJgaDgdLSUsFqwh050mw2C7+LVCplx44dOJ1OCgoK\nWF1d5cSJE5SWlnL58mV6e3spKysjOTmZGzduCA9KR0cHRUVFzM/Po9PpkMvltLe3E4lEOH36NBUV\nFTz33HN4vV52797N+vo67777Lk6nk61bt3L48GECgcB9PTJms1nESGs0GsbHx8nNzWVkZISioiJx\nSLt9+zbT09PCCxGfrXA3A2Q2m1laWqKiooKuri5u377NxMQEZWVlolvD4/Fw8eJFEhIScLvd9Pb2\n8qMf/QiNRiMOKyUlJSQlJaFUKgWz9/FyOp2i3VGj0YhrdXh4mNXVVbRarRjWF/cvfRb1Ww8KTpw4\ngdVqJSUlhVu3bm2gUf1+vzC8Xbt2Db1eTyQSobCwkOnpaUwmE8vLy/zhH/4h77zzjtB1t23bRlVV\nFXV1deJG/MY3vsGrr76K1WrFZDKRkZGB3W7H4XBgNptF/2qc9l5fX+ett95icnKS69ev8+ijj7K0\ntMQzzzxDXV0dN27cQK/XE4vF6OjoEBeu3W6nrq6Oa9eukZKSQn9/P4899hinT59Gq9Wybds2zpw5\nw8LCAisrK8jlcoFEZTIZbreb/Px8tm/fjlarJRKJUF9fz8LCAjqdDo/Hw+zsLMnJyczPzzMwMCAW\nlriZJZ6lEDcaxRHzxMSEWIy+9a1vbXiv43W3p2J8fByj0YhGo2Hnzp0MDw+Tl5eHxWIhGAwyMzPD\n+Pi4WGTienR8CJNWq+WZZ55heHiY4eFhLBYLOp1OeETu1oUvXLjA+vo6TzzxBKFQiIaGBpKTk4VJ\nb2pqivHxcUHz2u12Ojo6aGpqYnJykt7eXhoaGohGozz88MOkpqZy8eJFiouLWVhYYHx8nPb2dmpq\naigqKhLyQVVVFdeuXaO+vl64q+MtYvFKT09nYmICQJhT46ekOCiw2WwkJibeYxD1+XwbDEoVFRVo\nNBrRbhav+vp6QY3Hu2LiAUZOp5PZ2VkOHTqERCJhfHycxMRE/vzP/5wPPvgAu91OdXU1EomE0tJS\nPvzwQ/7iL/6C0dHRDQtxUVERq6urIghsz5497N69m6KiIi5fviz8MnV1dfzbv/0bkUhEDBFzu924\nXC5KSkowm824XC6KiorE4KZPyu2Ig7twOIzX6+WJJ55gZmaGQCDA9evX8Xq9Ig8iPiJcLpeztraG\n1+tl69at6HQ6tmzZwvbt2zl16hSlpaVcvXqV8vJypFIpJpNJyDYWi0VIbteuXeMnP/kJKysrTE5O\nsnXrVurq6ja0Ci8uLuLxeMjPz2dwcBC9Xo/D4UCr1fLTn/6U5uZmvv71rzM+Po5EImFhYQGNRoPR\naKSsrEx8/jqdju7uboqKijh8n+wxpAAAIABJREFU+DAdHR3ihNnU1CRkqb1796LVarlw4QJJSUmM\njY0JZmh8fJz09HTUajWnT58mHA7T3NyMXq8nKysLm83GI488wr59+9BoNBw8eFAYtIPBILt37xah\nZzt27CA7O5t//dd/FZ+j3W5nfX2d48ePMzc3R39/Py+//DJKpRK3283XvvY14Y1paWnB5/OhUCjI\nycmhr68PmUxGamoqH374IY2NjUxNTYn1TaPRoNPpKC0tJRQK4XK5SEtLIxKJ8POf/3zTayN++m9o\naBD3mkajIRKJMDAwgM1m4/Dhw6yurjI0NCQSXhMSEti1axdjY2PC0xA/sJSXl/Onf/qnvP7661y5\ncoU9e/bw5S9/Gbizkf/whz/E5XJRXV3N9u3bWV5eZv/+/eh0Om7dusXVq1dxOBzcvn2b5uZmPB4P\nt2/fFj6cONsUBwVKpZJwOExiYiKHDx/GaDTy/vvv89xzzwn5Ty6Xb0jC/DT1Ww8KzGYzUqmUgoIC\nnE4nRUVFxGIxcVEYjUYGBwdJTk5GKpUKk8vIyAj9/f1kZ2eLZK+pqSncbjc7duwQlNhDDz3E5cuX\nmZmZEaazyclJDh06RCAQECg4HA6zvr4uQEHc2FdcXExzczOPPvooer2er3zlK4TDYQYHBwmFQmzd\nupUbN24IitrlctHT08PNmzcFBd7e3k5/fz+NjY3cunWLWCzG4uIiWVlZ5Obmsm/fPnFq6uvr4+WX\nX8ZsNove+Lg0EI1GuX37Nj/60Y/Q6XT09PQQjUa5cuUKFouF0dFR1Go1V65cIT8/fwOCzsvLE1pa\nLBZ7oPS9lZUVzGYzycnJ7Nu3j7a2Nt555x1Onz5NYmIi9fX1IqHubpd3VlYWt2/fRqVSkZ2dTSgU\nIjs7m+vXr/P8888zPz9/jyt8ZWUFmUzG1atXGR0dpauri/HxcTIzM2lvbycjI4OjR49y/fp1Xn75\nZR577DF8Ph8tLS1iHoPH46G5uRmbzcaWLVtYWVnhySef5MyZM3R3d3P8+HGGh4e5cuUKcIdqzM7O\nJikpCavVisfjwev1kpOTQ3d3t9DmP84USCQS4by+GxSEw2HGxsY2hDvFuzDuLo1GI1LsADGvorW1\nlc7OTnG6iIOCtbU1IpGIoOjj/eRxwPjd736X3/md3wFAp9MJDVgulwuqFaC6uprBwUEkEgkymUyc\nmPPz8zlw4AB/8Rd/QSAQIDc3l6mpKUwmExMTExw+fJja2loSEhKYmJjA7XaTk5OD1WolNzdXGE/v\nNnNOTEwwMjKCXq9neXkZh8NBamoq09PTwnjV399PTk4Obreb733ve8RiMSorK5mbm6O2tpbc3FzG\nx8cFEIvFYoyPjwuKfHZ2Vpgd9Xo9e/fuxWKxcOHCBZqbm1EqldTU1HD+/HlisZhIQz116hSdnZ1i\naFhcBolEIty4cYOVlRUaGhqoqakR2nZxcTE/+tGPBJvy13/91ywvLzM5OSm6Dnbt2sXrr78uro+Z\nmRmOHTuGxWKhs7OTxcVFZDKZMF6q1WrRCri0tITBYKCsrIyamhrRiTAxMYFKpUKlUuF0OjEYDIRC\nIbEBRqNR+vr6hNv/5Zdfpr29nYmJCY4dOyYkyNnZWXbv3s3c3Bzbtm1jYGAAq9Uq5NKFhQWys7NF\nqqtarRYG3tLSUtFxIpPJqKmpYXl5meHhYXbs2IHD4UCn05Gfn8/8/DylpaWsr68LLX1oaIjR0dEN\nk2xDoRArKyvYbDZGRkbYunUrFy9eFJkm6enpGAwGVldXOXv2LP39/WRmZuJwONi+fbuQA0wmE7W1\ntTz++OP09vaiVqsxmUy89dZbdHV1MTg4KIyPcb/L8vIyWq2WoaEhHn74YXQ6HfPz89hsNlJTUykq\nKqK0tJTZ2Vn27t2LQqHA5/NRVlbG8PAwu3btYn5+XkgFsViM1tZW0aWwe/duZmZmuHHjhvBl+Hw+\nMQTv09ZvPSiIL/yBQEBQ8gaDAa/Xi8lkQqlUMjIyQm1tLX6/n4yMDOG2zsjI4NChQ2Iy4MTEBFKp\nVLht4Q7V+tBDD7G6usquXbtwOBz09fXx2GOP4XA4RB5AvNUo3sK4urrKzMwMLS0tfPTRR3R2dlJV\nVSUobplMRklJCUtLSxiNRpaWlhgeHubEiRPU1dVx5MgRrl27JvLJS0pK2LFjB0ajUbQIhsNh9u3b\nx9DQEHl5eeTl5WG1WrHZbCQkJHDz5k2GhoYYGBhgenqajo4Oqqur+eijj0hISGBlZYVgMIjf78do\nNHLz5k0aGxvF1LK769ixY9jtdmZnZ4VTeOvWrZ9ovlpeXkahUGAwGDh+/DhlZWW8/fbbyGQyvv71\nr7N9+3YuXbrErl27BJiKxWKMjIwQCoXEKNiEhATKy8uJxWK0tbXhcDg2TKr0+/3Mz89z5MgRTp48\nyfbt2+nu7kapVPKNb3yDkZERFAoFCwsLKJVKPB4PPT09TE1N0dHRwXPPPUdWVhbT09Pi5K/T6dDr\n9bhcLoaHh3nkkUcYGxujrKyMubk5TCYTFRUVolfcbDZz5coVJiYmCAaDSCQS0eceZyxCoRCBQED4\nPIqKiohGo/h8PiwWC06nk8HBQaFpxvXOhx56iLa2NhobG8nMzBShR5FIhGg0KsYmP/PMM7z//vtc\nunSJgoICwQotLS2xvr7O6uoq7777Lh999JGIvk5JSSEQCAiture3F5lMxtzcHENDQ4JpqaurY+vW\nrezevZvXXnuNl156iYGBAaqqqigrKxMO6nhypU6nE6e8cDhMQ0MDeXl5vPLKK3i9Xp566inefPNN\ntFotfr+fCxcu8Ed/9Ec4nU7sdjvvv/8+MpmMhYUFvF6v0Fa///3vc+jQIU6ePIlMJsNisRCNRtHp\ndPj9fkpKSkQkbU1NDT6fD4/Hg06nY3l5mdnZWZaXl3E6nej1er73ve+Rl5dHTk4OHo+HCxcucOTI\nEcHWuN1u0tLSqK2t5d1330Uul/P444/z7W9/m507d4rckcOHD9PT0yPA5MGDBzGbzSQmJjIzMyMA\nQGFhIX6/n507d7K2tsa+fft44403UKvVGAwGpFIpHR0dKBQK8RyDwSCtra2oVCpyc3O5desWeXl5\nguqORCLo9XoaGxtZWFigp6eHJ554Qkw3tFqt+P1+oYe7XC5eeeUVVldX+fu//3sR4BbX+cfGxpia\nmhKgVSqVYrFYGBsbIysrC5/Px/79+3n11VeF1HG3/LK0tER+fj56vZ76+nr8fj8Wi4WEhATB9pWV\nldHY2Mj8/Dy9vb0YDAbcbjdLS0usra3R399PRUUFr776KrOzs1RUVFBaWipC427cuIHFYsHlcrG2\ntsZbb71FUlISLpdLsJDRaJRwOIxer0cul1NTU4NUKiU1NZXi4mJxsPJ6vRQWFtLX1ydYl2eeeYau\nri7RbRY3cFqtVpaWlpDJZExOTuLz+aiqqhLtk3EgNTAwwK5du1hfXyc/P5+UlBTKy8s5efIkZrMZ\nnU7H6uoqy8vL/PM//7PoxnrjjTdobm4mJyeHkZERIc/Oz8/fN8juV63/tKBAIpFIgT7AGIvFjm3y\n/UPAPwByYCUWix3a7HHiPbPxISrd3d28+OKL1NbWcuPGDbKysrBarbzwwgssLy9TVVWFUqnk0qVL\nIqDnyJEj/OxnP2N9fZ3ExEQMBoM4iZrNZjIyMkS/aH19PcPDw2LBjZsc4Q4QiLenjI+Po9fr2bJl\nC5FIhO7ubpqamoTBLzU1FZfLxYEDB2hvbycrK4vR0VEyMjJ49tlnkUgkTE5O4nQ6MZvNNDU1UVNT\nw9TUlKCQvV4vZ8+epaGhgZKSEgwGg5joFadQo9EoXV1dRCIRvF4vPp+PkydPCjYlGAzidrsFfRhn\nXnp6eigtLSUcDqNSqZBKpcLNXlRURHd3NxaLZQOFH9cQ4f+YeLZs2SJQeU5ODuPj42zbto3KykoK\nCwtJSEhApVKJKGCXy8Xly5eFUfLw4cOkpKSQnJxMUVERExMTzM7OkpiYSCwWIysrSxiZ1tbW0Ov1\nQmLYtWuX2PjC4TAvvPACycnJ/OM//iMFBQUYDAZx+tq7dy8ZGRlcv36dwsJCfvzjHzMzMyP6iDs6\nOsjKykIikbC+vo7H46GmpkZornHzV1paGk1NTczOzjI7O0thYSESiURE9vr9fvLy8pibm0OtVhON\nRrl58ybd3d2irdXr9RIMBvnv//2/093dLbo1lEole/bsISEhAa/Xy8TEBOfPnycajSKVSlGpVOzb\nt4933nmH9957j7KyMlZWVoSLfWFhgdnZWQ4fPixOYqOjo9jtdv7n//yf7NixQ7THzc3NkZCQILor\n4ln0fr8ftVpNWVkZEomEjo4OQqGQaKl7/PHHkclk7Nu3j5WVFaqqqnjzzTf56U9/SkNDA0ajkenp\naSYmJlhfX+fChQskJiaytLREdna2YPfiTFfcEKpQKCgvL2diYoLnnntOeGMWFxcpLi6mpqYGq9VK\nMBgU2m4gEBAbY1yzTUlJISsri1AoxOOPP87w8DCTk5MkJiZy+fJlDhw4sEG+MRgMFBcXk5eXh8fj\nwWaz4ff7hWHR6XQKoBYOhzlw4ADXr19neHhYsD/BYJDvfOc7BINBrFYry8vLLC4uYjAYmJqawuPx\n4PP5MBgMaLVaJicnWV1dJS0tDbPZvEHiWFpawm63c/nyZcrLy/F4PNjtdkKhEE899RSvvvoqkUhE\nxOYuLi6Snp6O2+0mEomQkJDA6OgoSUlJQqqqqqri+vXrqFQqLBYLSqWS5ORkpqam2L17N0qlkoSE\nBCQSCc888wwXL17k0qVLSCQSHA4H0WgUk8kkDhJLS0tUVlbS19cnvChxL5LBYCA5OZmqqioOHz7M\n//7f/1tsnPn5+UxPT5OQkEA0GuXChQusra2h0+lQqVRcvHgRk8nE6uoqoVCI5uZmqqurmZ+fF0xv\nRUUFbrebF154gcHBQeGfKi8vx2azkZWVRUlJCbOzs0ilUtbW1rDb7XR1daFSqbh58yYymQybzYZU\nKhXdD/Pz86yurjI6OioGRIVCIebm5gQbWVFRQVNTE2fOnEEikVBWVobZbGbLli1CLorHWhcWFoop\nlx6Ph+zsbNLT00lLS2NwcJDi4mIqKip4//33OX/+/Gc6b+E/LSgA/gAYA+5pRJVIJGnAD4DHY7GY\nUSKR3LfZem1tje3bt/Ptb3+b9957T5hC4hG5cdomrq2Wl5dTWlrKxYsXBRVXXV0tNKz4jRvf3Mxm\nMxqNhlu3brF161aCwSBTU1OcOHGC+fl56uvrmZqaIiMjQ2wWgUCAgYEBNBoNbW1tlJWV0dPTw8jI\nCFlZWdTV1Yk2n/gJpqSkhKamJtLS0rh69SovvvgiBw8eZGJigoaGBiQSCb29vVy6dAmVSsXq6irR\naJShoSGhU928eZPExES+/OUvi5N8d3c3sViM5ORkZmZmSEtL49lnnyUvL4+hoSEuXrzI1q1bWVtb\nY21tjdXVVZFL8Morr2C1Wvmbv/kb0tLSCIVCgg48f/48Xq9XgIKVlRVOnz7NsWPHRBxtenq6OAUv\nLi4KNJyRkSH09MzMTMLhsGBY9Hq9cOXHcyfi7UYGg4GMjAwOHDhAXV0dKpWK69evs7a2Rm5uLtXV\n1ezYsYP+/n7x+11dXZSVlWGxWEhNTaW8vJzs7GwGBweFKbC7u5vc3Fzm5+fx+XzodDoREe1yuXjx\nxReprKxk9+7dDA8P8+qrrzI6OipOc16vl6qqKgwGAzU1NUQiEQwGA8PDw5SUlLC4uIjRaOTixYuY\nzWZqa2vFcK5AIMDc3JxoTztw4ACFhYVcvnwZhUJBXl4eU1NTpKSkMDs7K0yxBoMBtVq9oV8c7izI\n4XAYnU7H1q1bSUxMxOfziWsyFAqJVMBIJEJraytf+tKXKCoqoqGhgbfffpuWlhZ2795NZmYmnZ2d\nNDc3c+HCBdra2sjOziY3N1d4YD73uc/R1tbGG2+8QWJiIq+99hpKpZJ9+/aRmppKamoqR44cwWg0\n0tjYyMDAABkZGRgMBqqrq3nzzTdRKpXk5ORgs9mE0bOurg6LxSI06eeff56BgQHsdjt/9md/RiQS\nwePxcPjwYeAOCH3hhRdYW1vDYDBgMploaWkRs02OHz+Oz+fjn/7pn4jFYkxNTZGamkpZWRmDg4OM\njo6yc+dO0VkxNTUF3OnBP3r0KOfPn2d6epof//jHaDQaPv/5z1NUVMTFixdRq9V0dXWRlJTE0NCQ\nGE4UDAYJh8O0tLSI6a3x8eE5OTlYLBYaGhrQarW0tbWh1WpFlsjQ0BBf+9rXxOYjk8lEfLtSqRTT\nI71eL42Njezdu5eRkRECgQDZ2dm89tpr2O12LBaL8B5t2bIFiUTCysqKCNdSqVQYDAYRFBU390Ui\nEZaWllhYWCArKwuVSoXNZuPIkSPCgFlZWckHH3zA0tISHo+HrKwskWT6yCOPCJ/A0tKSyH7Q6/UC\nQLhcLuH7ipvpIpEIfr+fyspKEhISaG9v5/Of/zwymYzk5GS6urqAO+3HcdYiOTmZ7Oxsenp6xGb8\nxBNPMDAwIALo4uA7Pm65s7OTuro6lEoliYmJRKNRdu/ezS9+8Qu++MUvink5CoWC/Px8urq6+MY3\nvsG5c+eAO76nxcVFXnvtNZqampBKpdTW1mIymWhrayMSiVBRUSEY5+TkZM6dO4fZbEYmk3H27Flk\nMpmIdZ+dnRXreWVlJSaTiRdffFE8Z5lMxvr6+mcyGOk/JSiQSCQFwFHg/wO+tcmPfAV4PxaLGQFi\nsdh9Y63kcjnp6emkp6eza9cuurq6eOONN6ioqMBkMuH3+/nyl7/MH/zBHzAxMSGoOYfDIRbuuG7p\ndDrFDASLxUJaWpoIi9FoNIyNjVFcXEx+fj4dHR1kZ2eztLSESqVCIpGIVDa73c7U1BS7du3i9OnT\n/Mmf/Ant7e3MzMwIo5JSqcTpdNLR0cHQ0BBf+cpXkMvlgqJuaGhgZmaG7u5ukdQ2ODiI2Wzmqaee\nor+/H4/HQ3FxsRiF+vbbbxMIBFhZWcHn8zE4OMjc3BzLy8vi/ens7OThhx9GrVazZcsWTp06xdat\nW1lYWGBxcVGYAgsKCvjZz36GQqHgnXfe4aWXXsLj8QjZQ6/Xs7a2JgZ4nD9/HplMRkdHB1VVVbhc\nLtbX1xkcHCQcDvPBBx+QnZ0t6Oq4m16r1YrXVl9fL96j1tZWMjIyBF1YV1fHG2+8wfT0NNXV1Xg8\nHr75zW9y48YNcnJyhMM+PT2dmZkZcnNziUajom0qNTWVjz76iJaWFn73d3+X73znO6SkpIgZGAqF\nQujkp06dIjk5mdLSUmw2G9XV1aysrCCRSGhoaODzn/88er1edLyoVCpMJhM9PT3U1tYyMjIiAIbT\n6eTIkSMUFRWJzSY+i6Onp0eYouCOl2LHjh1MTU2Rn59Pe3s79fX1rK2t8dBDDxEMBvnnf/5nrFar\n8BTET3wej4euri76+vooKytDpVIxOTlJMBgUnoLR0VEOHjwokiC3b99OMBjk7bff5vjx44yMjJCc\nnExGRgZOp5OKigoBrpRKJVqtlvfff5+EhAR6enoIBAI4HA4qKytZXl7mueeeY35+nvn5edxuN4cO\nHeL8+fNoNBrS0tJE0FNhYSFarRaj0ShOSy6XS2jzlZWVSKVS5ubm2LdvH88//zw3b95keHiYzMxM\nrl27JvTq+MY4NzcnNpXa2lreeecdOjo6kMlkDA8PC4r4woULVFZWir8Zn5mi1+v54Q9/yPnz59m7\ndy/PPfcc4XCYM2fOcO3aNUpKSsjKymJychKNRsOFCxcwGo0CDDgcDvLz80lLS6O8vFxQ25mZmcKP\n09HRQWZmJnK5nMzMTEpKSmhsbBQTWOPhVNFolPz8fGw2GykpKfT19dHe3s7S0hIlJSVkZGQgk8n4\nu7/7Oy5fviwkrrW1NTHjpLGxEYfDwaOPPsqJEydQqVSYzWYR4tbb20teXh4OhwObzSbA+vLyMpFI\nhNnZWYxGIwaDQWxcY2NjPPnkk8L0ptPpWFhY4G//9m/ZsmULb731lsiGiK+jPp+PyclJiouL6e/v\nx+12Cznh9ddfp7W1Vfht/uiP/oj/8T/+B9PT0xQUFPCLX/yCtLQ0qqqq8Hg8dHd3s7a2xrFjx3j5\n5ZcZHx/nz//8z6mtrRVSQdyA+w//8A+kpaUJ03ROTg65ubnodDrW19f54he/KPaAxMREQqEQAwMD\nArTFA508Ho9geOMJkW+//TZ//Md/zJtvvsn09DTf+c53WFhYYG5ujqtXr4pBe2fPnqWqqgqfz4fN\nZuPcuXO8+OKLuFwuxsbGKCgoQKfTiYPtpUuXyMvLQ6FQMDAwwHe+8x3MZjM+n49gMCgC1z5t/acE\nBdyRBf4UuN+EhwpALpFIrnCHSfhuLBb72WY/GM+C/8EPfsDs7CyxWExMnXr99dcpLS0ViWY7d+5k\ncnKS6upqZDIZoVCI69evk5ubS1JSEm63W1BXBQUFYrFXq9VIpVLMZjOZmZlCmojnsaemporN0mAw\n8NZbb+H1eoX5KJ7OZzabRb51IBDA4/Egl8spKytjx44ddHZ2itcVXxDkcjnr6+sYjUZeeuklbt++\nLcKGUlNTBe32/e9/n4GBAZRKJW+99ZZYbGQyGcvLy4IFsdvt/OIXvyAlJYX19XVkMpnISff7/QQC\nAaqqqsjKyqKoqIjbt2+Tnp7O2bNnmZ6eFgYek8lEKBTiT/7kT6iqqiI3N5dwOExnZyfz8/NIpVJy\ncnLIyMhg586dLCwscPnyZcGQxAOZqqurMRgMaDQa3nzzTZaXl9m1axehUIjLly/z1a9+VQy90mq1\nKJVKtm7dSn5+Pjdu3BBMSnzOQHl5OS6XS6DtOH135MgRvv3tb7O2tkZjY6OI7Y1nPKysrIjseqVS\nSV1dnThRxU/k8Zaguro61tfXhfxw7NgxvF4vFouFgwcPChbCaDRSWVlJWloaLS0tPPLII7z33nu0\ntLTw/e9/n87OTuGST0hIQKfT0dfXR2dnJwUFBWi1Wr773e9y8+ZNVlZWKCwsFKxGXl4epaWlgo58\n88038Xg8Ij46MzOTrq4ukdRos9loa2vjpZdeoqenB5fLxdmzZ8XCuWfPHrRaLWfOnCEajf7/7L1n\ncNznee59ba/YjrIFvReCAAkQJMEqiiJtUhKpnrElJZJsR57EM4ktx3MSZ0TbGY8TjR3HPZ5ItqRY\nsqhiyaRYJFJgAUESvfe2CyyA7QXb2/uBvu8j5TjvmXOSD37f8c547JEpEFj893nucl2/C11dXejs\n7EQsFoNQKERZWRm0Wi1MJhNaW1sRCoUQDAbx8ssv8yrl2Wefxec//3nU1NTg2rVrGB8fh0KhQCKR\nQHNzM958800sLS0xcY5ElSqVCvn5+RgcHEQ0GmXw1Pbt25FIJKDT6SCXyzE/P49Tp07x79VsNsPj\n8SASiWB8fBwSiQS7d+9GRUUFurq60NbWxrHFEokELpcL0WgUdrsdXq8XNpsNi4uLUKvVqKys5FAm\nq9WKCxcucHiRwWDAuXPnYDAY2PqZy+Wwe/duTE9PI51OIy8vD3q9HkqlEuFwGEtLS/y+bd26Fa++\n+ipWVlbQ3NyM0dFR/Nu//RtHg1PhTmsugUCA/v5+HDp0CEKhEPPz81CpVNiyZQuMRiNu376N4uJi\niMVi7Nq1Czdv3sTbb7+NI0eOsJW0oaEBv/jFLxAOh7GysgKdToebN2+itLQUwWCQLX7ZbBZKpRIq\nlQputxsKhYLH40ajkZ1JGo2GXQljY2OIRCJwOp0IBoPI5XKslbhx4wbUajW6uro45Mzj8eChhx7i\n6eWNGzfwne98h9cZVLSvrq6ypuLBBx/k7tvhcGBjYwN+vx/Hjx/nbp+aDJPJxAK+vr4+OJ1OZLNZ\nVuvTymbv3r2YnJzE+vo6vvSlL+FnP/sZKisr4ff7uagrKCjAj370I/7diMViJJNJptjS3/dxXU8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i86OzthsVgwNjbGgivgTpdPSY9yuRxSqZQ1ET6fD0qlkseRarUahw8fZg75vn37oNVqcfXq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\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pqbS0tEiuuLo5qsjUyclJoWx1d3dLGpfqnOTl5eHj4yOYUXVTi4yMlLhpnU5HUlIS7u7u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\nAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1093aaa58>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, axes = pl.subplots(3, 1, sharex=True, figsize=(8, 9))\n",
"axes[0].plot(sampler_chain[..., 0].T, color=\"k\", alpha=0.4)\n",
"axes[0].yaxis.set_major_locator(MaxNLocator(5))\n",
"axes[0].axhline(m_true, color=\"#888888\", lw=2)\n",
"axes[0].set_ylabel(\"$m$\")\n",
"\n",
"axes[1].plot(sampler_chain[..., 1].T, color=\"k\", alpha=0.4)\n",
"axes[1].yaxis.set_major_locator(MaxNLocator(5))\n",
"axes[1].axhline(b_true, color=\"#888888\", lw=2)\n",
"axes[1].set_ylabel(\"$b$\")\n",
"\n",
"axes[2].plot(np.exp(sampler_chain[..., 2].T), color=\"k\", alpha=0.4)\n",
"axes[2].yaxis.set_major_locator(MaxNLocator(5))\n",
"axes[2].axhline(f_true, color=\"#888888\", lw=2)\n",
"axes[2].set_ylabel(\"$f$\")\n",
"axes[2].set_xlabel(\"step number\")"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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bN3LOOedwzjnnOHU58gvGjx/veZySkqI7UarRs88+y//93/8BcMMNN/h8QT6+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\n0jADwTAMwzCMNP4/AfENcIC3lTkAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10a75c8d0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig = triangle.corner(res_emcee.flatchain, labels=[\"$m$\", \"$b$\", \"$\\ln\\,f$\"],\n",
" truths=[m_true, b_true, np.log(f_true)])"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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xAwYQNmqUs0Lw0kuhdeumfEmAQsq1FFIi0hA1dV1oig/5wsJCFi9ezJ///Gfy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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10c311ef0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Plot some samples onto the data.\n",
"pl.figure()\n",
"for m, b, lnf in res_emcee.flatchain.values[np.random.randint(len(sampler_chain), size=100)]:\n",
" pl.plot(xl, m * xl + b, color=\"k\", alpha=0.1)\n",
"pl.plot(xl, m_true * xl + b_true, color=\"r\", lw=2, alpha=0.8)\n",
"pl.errorbar(x, y, yerr=yerr, fmt=\".k\")\n",
"pl.ylim(-9, 9)\n",
"pl.xlabel(\"$x$\")\n",
"pl.ylabel(\"$y$\")\n",
"pl.tight_layout()"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"OrderedDict([('m',\n",
" <Parameter 'm', value=-1.0028027890164015 +/- 0.0115, bounds=[-5:0.5]>),\n",
" ('b',\n",
" <Parameter 'b', value=4.5269500612045288 +/- 0.0529, bounds=[0.0:10.0]>),\n",
" ('lnf',\n",
" <Parameter 'lnf', value=-0.7885783190921386 +/- 0.0226, bounds=[-10:1.0]>)])"
]
},
"execution_count": 17,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"res_emcee.params"
]
}
],
"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": "3.4.3"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
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