{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# LKJ Cholesky Covariance Priors for Multivariate Normal Models" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "While the [inverse-Wishart distribution](https://en.wikipedia.org/wiki/Inverse-Wishart_distribution) is the conjugate prior for the covariance matrix of a multivariate normal distribution, it is [not very well-suited](https://github.com/pymc-devs/pymc3/issues/538#issuecomment-94153586) to modern Bayesian computational methods. For this reason, the [LKJ prior](http://www.sciencedirect.com/science/article/pii/S0047259X09000876) is recommended when modeling the covariance matrix of a multivariate normal distribution.\n", "\n", "To illustrate modelling covariance with the LKJ distribution, we first generate a two-dimensional normally-distributed sample data set." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true }, "outputs": [], "source": [ "from warnings import filterwarnings" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": true }, "outputs": [], "source": [ "from matplotlib.patches import Ellipse\n", "from matplotlib import pyplot as plt\n", "import numpy as np\n", "import pymc3 as pm\n", "import seaborn as sns" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": true }, "outputs": [], "source": [ "filterwarnings('ignore', message='findfont')" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": true }, "outputs": [], "source": [ "SEED = 3264602 # from random.org\n", "\n", "np.random.seed(SEED)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": true }, "outputs": [], "source": [ "N = 10000\n", "\n", "μ_actual = np.array([1, -2])\n", "Σ_actual = np.array([[0.5, -0.3],\n", " [-0.3, 1.]])\n", "\n", "x = np.random.multivariate_normal(μ_actual, Σ_actual, size=N)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": true }, "outputs": [], "source": [ "var, U = np.linalg.eig(Σ_actual)\n", "angle = 180. / np.pi * np.arccos(np.abs(U[0, 0]))" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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JuMcjHT0RHwOOQ2F61IfNcaftdpyzoG1jxBmJOAqC8jxuFjY2Jmit1+Ifax2t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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(8, 6))\n", "\n", "blue, _, red, *_ = sns.color_palette()\n", "\n", "e = Ellipse(μ_actual, 2 * np.sqrt(5.991 * var[0]),\n", " 2 * np.sqrt(5.991 * var[1]),\n", " angle=angle)\n", "e.set_alpha(0.5)\n", "e.set_facecolor(blue)\n", "e.set_zorder(10);\n", "ax.add_artist(e);\n", "\n", "ax.scatter(x[:, 0], x[:, 1], c='k', alpha=0.05, zorder=11);\n", "\n", "rect = plt.Rectangle((0, 0), 1, 1, fc=blue, alpha=0.5)\n", "ax.legend([rect], ['95% density region'], loc=2);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The sampling distribution for the multivariate normal model is $\\mathbf{x} \\sim N(\\mu, \\Sigma^{-1})$, where $\\Sigma$ is the covariance matrix of the sampling distribution, with $\\Sigma_{ij} = \\textrm{Cov}(x_i, x_j)$. The density of this distribution is\n", "\n", "$$f(\\mathbf{x}\\ |\\ \\mu, \\Sigma^{-1}) = (2 \\pi)^{-\\frac{k}{2}} |\\Sigma|^{-\\frac{1}{2}} \\exp\\left(-\\frac{1}{2} (\\mathbf{x} - \\mu)^{\\top} \\Sigma^{-1} (\\mathbf{x} - \\mu)\\right).$$\n", "\n", "The LKJ distribution provides a prior on the correlation matrix, $\\mathbf{C} = \\textrm{Corr}(x_i, x_j)$, which, combined with priors on the standard deviations of each component, [induces](http://www3.stat.sinica.edu.tw/statistica/oldpdf/A10n416.pdf) a prior on the covariance matrix, $\\Sigma$. Since inverting $\\Sigma$ is numerically unstable and inefficient, it is computationally advantageous to use the [Cholesky decompositon](https://en.wikipedia.org/wiki/Cholesky_decomposition) of $\\Sigma$, $\\Sigma = \\mathbf{L} \\mathbf{L}^{\\top}$, where $\\mathbf{L}$ is a lower-triangular matrix. This decompositon allows computation of the term $(\\mathbf{x} - \\mu)^{\\top} \\Sigma^{-1} (\\mathbf{x} - \\mu)$ using back-substitution, which is more numerically stable and efficient than direct matrix inversion.\n", "\n", "PyMC3 supports LKJ priors for the Cholesky decomposition of the covariance matrix via the [LKJCholeskyCov](../api/distributions/multivariate.rst) distribution. This distribution has parameters `n` and `sd_dist`, which are the dimension of the observations, $\\mathbf{x}$, and the PyMC3 distribution of the component standard deviations, repsectively. It also has a hyperparamter `eta`, which controls the amount of correlation between components of $\\mathbf{x}$. The LKJ distribution has the density $f(\\mathbf{C}\\ |\\ \\eta) \\propto |\\mathbf{C}|^{\\eta - 1}$, so $\\eta = 1$ leads to a uniform distribution on correlation matrices, while the magnitude of correlations between components decreases as $\\eta \\to \\infty$.\n", "\n", "In this example, we model the standard deviations with $\\textrm{HalfCauchy}(2.5)$ priors, and the correlation matrix as $\\mathbf{C} \\sim \\textrm{LKJ}(\\eta = 2)$." ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": true }, "outputs": [], "source": [ "with pm.Model() as model:\n", " packed_L = pm.LKJCholeskyCov('packed_L', n=2,\n", " eta=2., sd_dist=pm.HalfCauchy.dist(2.5))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Since the Cholesky decompositon of $\\Sigma$ is lower triangular, `LKJCholeskyCov` only stores the diagonal and sub-diagonal entries, for efficiency." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "scrolled": true }, "outputs": [ { "data": { "text/plain": [ "(3,)" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "packed_L.tag.test_value.shape" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We use [expand_packed_triangular](../api/math.rst) to transform this vector into the lower triangular matrix $\\mathbf{L}$, which appears in the Cholesky decomposition $\\Sigma = \\mathbf{L} \\mathbf{L}^{\\top}$." ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": true }, "outputs": [], "source": [ "with model:\n", " L = pm.expand_packed_triangular(2, packed_L)\n", " Σ = pm.Deterministic('Σ', L.dot(L.T))" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(2, 2)" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "L.tag.test_value.shape" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To complete our model specification, we place independent, vague normal priors, $\\mu_i \\sim N(0, 10^2),$ on the components of $\\mu$." ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": true }, "outputs": [], "source": [ "with model:\n", " μ = pm.Normal('μ', 0., 10., shape=2,\n", " testval=x.mean(axis=0))\n", " obs = pm.MvNormal('obs', μ, chol=L, observed=x)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We sample from this model using NUTS." ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "scrolled": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Auto-assigning NUTS sampler...\n", "Initializing NUTS using ADVI...\n", "Average Loss = 24,314: 6%|▋ | 12779/200000 [00:13<02:59, 1045.84it/s]\n", "Convergence archived at 12800\n", "Interrupted at 12,800 [6%]: Average Loss = 30,353\n", "100%|██████████| 1000/1000 [00:15<00:00, 65.87it/s]\n" ] } ], "source": [ "with model:\n", " trace = pm.sample(random_seed=SEED, njobs=4)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Both the traces and Gelman-Rubin statistics indicate excellent convergence." ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": 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qhFU6NYRxr26zHfa++c1vMmPGDHbZZRcMo//DlgshhBBdbTGhiqKIY445hocf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\nkiRJkiRpiGRBJUmSJEmSJEmSNET/D7W/q1OFG6GHAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pm.traceplot(trace);" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "1.0041914870298023" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "max(np.max(gr_stats) for gr_stats in pm.gelman_rubin(trace).values())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We see that the posterior expected value of the each component of $\\mu$ and $\\Sigma$ is within 2% of the true value." ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([-0.0183651 , -0.00919685])" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "μ_post = trace['μ'].mean(axis=0)\n", "1 - μ_post / μ_actual" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "scrolled": false }, "outputs": [ { "data": { "text/plain": [ "array([[ 0.0172408 , 0.01600426],\n", " [ 0.01600426, -0.00240787]])" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Σ_post = trace['Σ'].mean(axis=0)\n", "1 - Σ_post / Σ_actual" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The following plot also shows excellent visual agreement between the true distribution and the posterior distribution." ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": true }, "outputs": [], "source": [ "var_post, U_post = np.linalg.eig(Σ_post)\n", "angle_post = 180. / np.pi * np.arccos(np.abs(U_post[0, 0]))" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "image/png": 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SqVSGDy9JklCpVDDGoJQiDEPq9caw7WeWZf3uY3YoygPX9NSmIPV6ncqU4y2E\n2R6m2u02ExMTVCrR8HqhMXxgybK0/xmJ4UPEnnYVb//93J3a4rIuueSRQCnES8wgqWYQU8wyZ0E9\nWE06nFvY7wvg5M2u0Yim3QSNsSjlz1FaxQzLJ01TiiJ3giddg4k8zzHGIKWi1+syMTGOtU2E8PB9\nSRhWkFKSptlwzrAQEEWQJNlwrbpxRiexdFPoxRm5scTJOO1Wi14nJvBDpOchhUeRFSgEoZLkSYzO\nEzxrENq5bo0Q+EFEWKkgPI84S5GBj6c8pPJBaDwPDJao4hOFPsuaNZrGMjISDht9DMQ6yzK63Q6+\n7w/LlXxfDR+ydlWEZ3uYSpK030LTPQR5nhjWOA+I42Ra5nuzueMY/GKzO7XFZV1yySOFUoiXmCRJ\nKIp8Wmeohdxs5uO221k8ulKp9CcDTd9PFEUEQTC0mAdW38Cy2r6+eGocuNVy8V7npnTHStOUJIkp\nCk273R4eX4hBu8tgeE2dbkySWTpJzoaJjLUbJ0gLyAsPk8Rk45tReYpME3RnAhN3yNrjKAxREIEF\nqQR1FWKxVIKIOEvwxCwD6a2hElawWEw68z3GWuI8JpchnbDKpjCEoAJhiFWK+srleIFERhH1RoVm\nNQCKfhlRMK2kaVdw7m/N1EYd29c4uwccOQwVxLET6VqtirWVGV6F+R53d1zCu1NbXNYllzySKIV4\nCdndm8183XbzjUfPJx45V33xVOvFiYKzgIF+TLfVb77h4qqe5xFFg4xeQWEE929qYzYbNm1tI4Mq\nMk9R3RZ1m5JPtBFZjxHAw5IVGUWhAeilCYXOiNMevlJMdDtYYfA9n0qgkUoQ+NO7b834LLCIHdT4\nam2JlIA8RuUJQrQw1tBNYrL7KsRZiic8NkuJ8SNsELBsdJTayhWMHngAI6uX06wFyAWOaZws8zJM\nTLSoVqt9N7Qly1LyvMBazSAmHYbuwWkw8Wnq5zrwvMxHxBbDJbwjTwy4h4vBw8NCtt1TyWYlJUtF\nKcRLyO7cbBbqtltoRutc+y8KTRgGRFE4jO1mWTot6WtggQ9c7fV6ve+2zbHWAB5+WGMiFtx//wRW\n1tEavLhDLd9E1NpGw2TI3MU3la/w8gJjDYQRCI9ABUBGmmckRYrRBl8pCq1J+8MpOjYm1zV8JcGC\n50ki3yUSDYR3+BDS/9lXiqLQ09bdWIMVlrh/PgC+lPjSByEwTHbd8rTG011M0sYkXVr33kn2m5u4\nT/rYaoNulqfyAAAgAElEQVRg+QjRihXUV6+gsWoFI42IKFBzJo3leUae58NWm1u2bKFer/cfrPJ+\n/+8IrQu2bu0SBAopC7KsGArxwGUOLh8gCAKq1eqM4+3ss5/6PZoPc3likiQljuPBu2b9HpZ1ySWP\nJEohXkJ29Wazq5b0fDOut3d7Dt6bJAljY2MsW7aMyRuoq1F1iUozxwgCfbeqIDWKLa2CTVvbpIVF\n5DnFlvWsEBDGbUSW0KzW0MbM6kIGplmtgQqQQtJLEpSv6KZdOt0envQotBOjQhUEysNa9/TRTjp4\nYrKkR3ke1SmtHwcCnxfF5HpgEEaA7As2gkIbIMeXEmG3q0HGut8LQZpn/fVOIe5gJ8awDwRMFBmZ\nNuioStBcxorH7MvowQewar/V/TGKk129BqJYrVbxvIR2e4I49vudxSabrSjlkecFlUqF8fGtJIkL\nEwwyyd1nS78LWbLHW6nO5olJkpQsS6lUomFp1VxNRsq65JJHCqUQLyG7erPZHUt6PvE+Y0y/5KgY\nlu8MjjlwJbrkq0GnrWCYIDS44bsM6YBtE23uH0v4ze/XY4QkkD7e1q3UNq/DTzoYo1ledz2b/Vqd\nQAWkRYoupmdyW2vxlfu6GmtcuNRVCRH4Cq0tWVGgrbOIW90uSiqqtkKS5UiZUQ1D8twQqEGWtsUI\nMyN+GqgAX/pYLFiY6LXItabIUjwh8H2FL32SPGNZte7WwuROvAUE0nfXkacw+Cz655vnBVmR4SGR\nQiCTHiQ9tmxcx8RNv+busIZauZLavqsIVjSJGhG+L4efncsIl2itWbFiBWmasmXLln5IwKKUmjY1\nyiXLyWnfK8/z5hTVxXYJb18ZEMcxlUo0Q3RnO5+yLrnkkUIpxEvMrtxs9qTbLkkSJibGGR/fhud5\nw7KgVqs9zZoenMcg5iuEy4z2PCcI92+cYP3WmE4mkdInLAzBtnVUWlvI84ReGtPLC4RU5LqgXnFt\nIDtJF4Eg1zloQaB8rDXD6Ue9NCYrMvJC46u+exiBtgVFoZGej7ZQCQMCGSDx8IQgLwp6CELfJwoC\ncp1TaIs2lm2dNiM165K8pqyxQJAUCb3UWbXaGFKt6aQxvvSJwpBcF4ReQCWIKEwXoy0Zzo2e6wLp\nSSZ6bYpCo/rnmxU5y2vN/uc16SbPiwJfZuiN65nYsI6tnW10Cou/Yh9qo6sYPfAxjD5mtF8n7c5z\nMGBiannS4AFvUFY1mPg01YMxl6juie/W4MHAeUYW1mRksXphl5TszZRCvEjsTobpQm82e8ptN5hn\nWxSaKAqn1Ma6TlFpmlGr1bfbylk5y5Y1afdy7l63hXWbu2S5QZmCUZMTbduE6Y7TS2LiLKXQhkCG\nRH6FSugTyIBO0kEXkzd6X0mUp5xLNqzQ62dbF7rAGJCepNAGQQHWkhcFtaiCLzUkBmt9pJQUViON\nwFc+2misVRS6QGtLXmi01lgsE90uhSmoR5PXZ62ll8QYo/GEJPQD52LOnXCGSiGFZLzTotCaQAV4\nwiI9gTaavCiw0mINSE9htSWncHHsInMPCH1xApCeoBJGwwcRD4lX9LBjm+iMbaL9m99yR6XCyGP2\nZ2S/UcInHEK1UQXEsIlJEASkacrY2BhxHDur32iazZFprS7nEtU99d3anSYjpQCXPNwphXgRWIwM\n04XebBbbbTfZOQvSNKEoir4Qu4SgMHQPC8uWNcmybJj8UxSatBDcftcEY+Puxh8kKSOb1+J3tlIN\nQhfvVQE2tKR5TugrBM6lPHDhtrsx9UptGAMuCgOqAK2wfaF1AuXEeJAxHVtLveISuKQApSxF33q1\nJiPJUoLGCJEf0El6SCnoZRlJmlJol5TlCUElDOklKcpTBH6AQGCsoegngel+3bHWrkyoMAXSE2RF\nRprnw2SvQmviLCfNcwpTECifyJ8UQJflbOmlMaEKp8XCi0KTFzmBCsiLgigIKWxBkjhRzHWObmf0\n7s3J197L+I2/JFyxiujRq1lx4GNYsWoF1lrGx8cpiqLfpcyS56622bm23WxkfwdZ5HvKJbwYIl92\n2Sp5OFIK8W6ylE0HFtNtN4gNugShAqW8/sCAiKLQVCoVpFTDOGUYhnR6GQ9sKrhv4zbnmo671Nff\njd/eiqV/w5xiAfnKp9ZPjBoIl7Uutis8b1oJkRCCvNBITw5nAdt+2ZLVfRfqwKWbG6zVNKoNullM\n1Q8QQLdvEfbihK3eBM1qDWstRdFvLOJ5ZHmOxdDuCSyatEhZXlvmzsFzod1ABmRkZEWOwSKsdtnK\nniIZiIqFtMgxetBn2qCkJC9yPCERWAqt0UajlE+RJoR+OG39A99lfSs5mYVdD2v4nk837SGtRCLw\nlSTy+9OVxreRdzo88LvbuDuqoEdq7HfYAQg/miaermGMHMb9owharXxOgd1TLuHdEfmpdeq72yCl\npGRvohTi3WB3M0wX4+l+sW6SQgiMsf2hDpNWy8Cl6HlOmLU2aGO444EWD2yJkSrE1wXh2ruIJjaT\nFyk9rbHWuWhVIQlVOE18p1qBlkEy08w6Xmst2k4pJbLOajTWDC3iJM+phAHaWAIvwQBSKWSeMVKr\nIz2Jr2Q/fiwQwkMbS2E1Ojd4HoQqJMkTlJBYKeimMVJIjDX00pjIDwhViPIUWVEMxbaXpuRGOzWx\nLjt86rUFyqcQHp24h/Kc+1hJRbNaZbzbIctzfOUsfjWMrxu2J1A+uQ5AuQ5ngQyGn9nAJS4A25og\n3ryJ399xJ159Gc3HPIrRxx/M6n1XDS3gIPCHvb5hxw+NO8usf7BCMTC1lGvSG9PrdanV6judtFVS\nsrdTCvFusLt1wK1Wa6/JBhVCEAQB3W6n36/YzdsFS1FoPC+lWqtx97oWd2/qIrwAZQW1B24n2rKe\nPE/o5olz9zpZwFhBu9ej58VUowqhCmfU6QqcNVmZEr8EyIqcNM+QskqcJWhbIKyHFZYi1wjhkeY5\nnvCwxhIGCuVLep0O3STBl246kupnWgdBQFYU+BJ8KYgzi7YFUrje17nWRJWQQmtILbVKFSUUoe9c\nuUmR9M8XlPRcW9Aip5cmrv1lEKLE4M9JoKTnSpiwxFmCr3w8IAohL3LqUYSx1nXtSnskmfNCKE+B\nsIR+OFwni3Vu6cLgSUk3jQmUGlrUxhrywiWGSQRYgR4fZ9v4OFtuvoX7Vo1S2Xc1I/utZt/9H00c\nJ8PErdkeGuczFGNngyfm832br4BPlnJl25ViWVqt1k7rorffV+naLtnbKIV4N9jVDFPX3chOs6QH\ncVlXK7qw7ks7YiE3nkqlQqfjpiH5vo+Uqj/kQDK2LeY3N20iyQqsLmhsvZeR8Y0I4yxTX/ooL0N6\nnivjsR7CCjKd041zskITqIR6pYpSclqdbiUK8JDkOifXmqwoyPOMKArwhCDud5DSpiDNCpR0xzAY\nIt9H9Wt5hRVYwGiN7wf4SuErhUCQ6px2r4dSPqFU+MqjKCDXBdpopOfhC0VuXdnUwO0dKOViwXmB\nwdKs1MmMc0ELT+D7EmshkJI4z4h8H601lUqIh0c3zRFYpHClRZ4QFLpAKoUexrsNypOYwiBCQZoV\n7sGoHytOc5clLoTAaE1iNEmaUokKquGka1YIQeArMp1TFP3PHEtv8wa6YxvYeotk6+ijWHHIQYwe\neiBAX4wZ1ou7+dDO/QtixhCS+Q6eWOxe6eDmQw/+NgZNSqy1jI2NsXr16p26qWd7gIDGDrcpKXkw\nKIV4N9iV5JPJpKjJG9X4+Djdbget3XSeZrO5KO62hSaRCSFoNpcNJ/YATEy0+f3949w/1kOpAJX0\naD5wG17chrDCwCWQFikTcRetNXGWghUIYSgKFxvNjSX0JQKoVapU+72dB+7qrMiwWDzh0Ut7SOlR\nFJYs61ENI6SQWM9SDXyEUNSjGkmeIvsWcW5zCqOJghDP6yI8D20Mop8VTf+BpOIHGGOp+BFFYZFS\noLWbqORJV9u7fWw7VCHSk1gsSihELhBKDHtYp0WGkgpjBVmeoI0AIeglXbCG5c0RIuWDcB4AYwxF\nXuB5im7SxRiG7R7JMgLlYxJDtVlFBarfCzug0+thpjz5Zd2cKAi2c4cHKF+RZR1y49zoga+oRxUK\nbUg2b2Hd5i2s/99fU9vvMTzuiKcSLW9gjGuZ2em0GQiwtQzblA4Gbsx38MRgm8VgEDaZPGYyZaym\nRSlJlqXD/IXZmCuXY+qAjJKSpaIU4t1kockn27uzx8fHieOeEwLP3VR6vS7AbonxriaRTb2ebpzx\n89+tZ1snwxMecuP9BBvuxUiBJ9VQSLMiI04SrLHIfpxTa00vTQmVj1QKjKbQUBhDN+nRrDSwwuLh\nDa0/X/pMxBMY7RKlelmPwFf9OKxzvQZBvx61H5dN8gxjtUvsQhIEPtVKRFHkKClJC40vJUoqhOd6\nTudF4bKwPYtEUalW8KVHlhckaYrvO4vdV2rYIcsTrjzI4BqAeMIbinUgfSpBiLYFEBHg3MVCCAoD\ngXDW5eD9VoCxUA0VSa6wwhL2u2RZa1x5lZUYzPA4hXb7Y4ogCU+Q9T0LU13+1lqUlK6ZR+ihPI/Q\nDxEioyjcfmxe0Lr7bn59zz1Ey0Z41OFPxB8dQarJbldh6Nax1ZqY4nqe/K5MFebtPS+LOZhhILC9\nXtcl92XZ8JhuUIjYaZOSHeVyWFu6qUuWlkUR4h/84AdceOGFGGM44YQTeMMb3rAYu92rmXrjmS35\nZC6X8FR3tjGGbrczjGMO3NlCCNrtNs1mc5fc1LubRBZFEVvaBf97R4tWbFDGUF9/J2FrCwCFNhib\nO6vWWrI8R1uLLxV5kTuhFJDlrlY29F03p0K7EqRtna6L73oSrKUahdSjOlmRkWUa1Rd5hEvOKlTh\npil5rjNXjqAShKQ6o5fG6L54IQRellAJI4yEXtoD4aGEwJMeaEjSlG4a04lTBBZP5pikx+plzf7M\nZIkUzk0upSBQkZtuhKbQrpwpydN+9yy/3/HLiVea5jSimvts+92/siJHFxrPdw8oFrDGojxJJEO0\naeF70/8MPeGRF/mwdWaunXs6UAFWWgwWr99WzH0WZtiac1tngsIYtDb4UhJI5R4wREKoQiAn7ye6\naaNBCujFrP3ZDWyLu4wcsD/7PvEQavssH86eTtNBLflkI5HB92zq12j693xxBzNUKhVqtTqtVssl\n8WnbHzjiOri5vxs76zF3PHyiHCBRsvTsthBrrXnPe97DZz7zGUZHR3nlK1/JscceyyGHHLIY57dX\nMpfLd/DHvCOX8MCd7RotGAYNDgZP98Mkpn7cbiFCPBD/qTee7R8IdnaDNMby27u3cte6CYyxyG6L\n+n2/x9f5lAMN/8+VKfV/DpSPsda5hbV2UUZP4isPcFZaJ0nI8pRGpYIUEgQkaY61ziXqeR4GQ5Im\nrj5XCCyGsD9j2FfOVZvmKWl/4pHneXjCI0lSPOn1u2eFSFF1TTWMQQoP5Uta3Q7dOMFag/AktSAk\nyXPiLKEaVqhHNbIiBZzoxFnimmsIZxkLz11HVmQYa6lFoYvl6hylJrORpZAEvmsiorVGKQ+Jj7EG\n6QUo3w2iqAQBeV4ghAfW5Q0UuiAIFJnOSLKMVtxjW6eNFHLY6MRalyAWbPf5CzxqYYjWBoEgTjMy\nnRHngmrg3NTVMCLJExAexrrpVZ4HVmta99xP654H8EeaHPS0w9n3sIOniZjv+/05097woXLQSGRq\nsteg7noxGRkZIQgCxsbG+p3WBL4fDBuV7KhJyVy5HIPXS0qWkt0W4ptuuokDDzyQ/fffH4CXvOQl\nfPe7333YCvHOXL7zcQm7Ob8+1oIxGq09wjAYZiuDu6kMuiXNx9KeKv7GDCxiOe13QRBMu2FuTy8p\n+PmtGxlvp2RpjLz/Tuprb0NrjcH220n2u15NcU1Pj6f6LKvUyXRGVmT40sVSlZR4SHpZQuD70+Ka\nnvDoJSmVICQrcqTw8FVIri3aaFJtMGRUwohemiA9gbEWpXwqQQVrXYy6axOE8OgkMdJzXa9UKGnH\nCWmW4SvflR8ZZ7FbDJ70kMYjTjICGeJLS6BCVypFQeS5mPLgfC2CauBjfEM6GGphNIHyCaRLHppM\n9HLrlfU0hdZYAQjrOoYJRVqkKKkAS5zmriwrL/CERGaSXhy7h4OwwoTskiQxSQpKCoKgAmmC8Nz3\noehbzcM2o9o6a9wYpJCuJlq4mu0kTwlVQKh8ulnSj1tbjHUjJoWAbNs27r/+F2z41W9YfdihLKvV\nMZ6HEBDHCULQn7c8WVs+9Xvo+wHtdnvRE7eq1SqrV68my9LhwwDMnpcx9W9lR7kcWZbPOE5JyYPJ\nbgvxxo0b2XfffYf/Hh0d5aabbtrhNsuXV4e9gx9KuHIJg+fNvLForanXK3Q6Gilnvm6ModmsT7sR\nHHro/qxcWafb7U7rv2uMoV6vE0VhP4MVwDorbri97Y8jjIZZ2IMEMGstW7duJc9zli1rDjNMjUkJ\nAkWz6UR/ULPqeR69pOD6391HbkBJTbT29wTjm4h9hRe4GbdKegR+2E+e0f04pEdNVHAlQK5JRsUL\nUIUkCn0wTMaTBUQioBG5z3/aA4Znkb6Hr13rykh6RKFPpjXduEOgJEoplPSQwqObJCDciEQA6Xto\na8gKTaEtAouRFl0UpDqjQGKyGOEJokrFjTFUitD3SYsM60E765Fbl7GsPIk2mkalhrAC6U0Oikj6\nwxwKa0h1QUUKwqBCxWS0ujF4Hp4F35d4HqxYVqMaVil0jkQShu5zcm7VBKwli3Im4g5JJkjyFJ3G\nCOER5xn7NEZYXqsyISzdboxBIDzIrCbrtVG+62GttR7OO5bKueL9frJX5AfDUEIvjVG+6/EtgMzk\n+EpSCwMsrv+2lAFSeXhGM3Hb7fz6vvt51JMez+PWPI3Vq0eH3bkqlcow0zpJEpTyWbmyMRRfZy37\n8xLj+Wf4N6Y093BsL/jTX7c0my47erZtyiESC2PVqjLTfL7Md62WJFlr27beUhx2tzHG0Om0Z7iL\nB/NVa7Uq3W6v35EqnLFtkkxOJ1q1qsHmzR3AJ0mg3R4furIbjQbGZGze3B4+9Q/GxwVBMOUm10Ep\nf5i84s7F3YDa7Q5ZliClGjZwCAKfLIvpdNYSx3E/4QUMkt/e3yXXkjTpYX/3v1Tam0kBaw0ezi2b\n9PsfuwxnF791CUyaonDZ0oNhDEpKIt8NcsiKvB+vDDDakuvCZVb3UVK6pCQ/IMtzkiwfioTyPBrV\nOqEKSPOEdrfAAr0kITc50nrOurUWYQRWF2R5wbZu100/wmKtYKRWQ1uPOC8IfYkSrlxICzetqRun\nNCtV8AABrV6bbpKS5S4xLPQVUro+1Z24h68UgQqpqogs1YwlWwHIdU6vmyEEpHlONYxYUW/S6yX9\nlpcB2vT6MV1QQjHea9FLM3ppRp7lw3bMee7c6mN6nFoUudGL0tVGW2PI8gxtNJtNi5FqjVzroctW\nWNeZzAOXTS4DTD+e3Esz16pTuHi4RhMnKcKTVAIf5bkuaAKBEpIsL9BFzN2/uIl7b7yZ5Y89gP2e\n8RSCZoNms9l/MIOJiRSlJEWR0+lMWplam+H75mK+Gf5TxRomh1xkWU67nQ/3NdP67eD7wbRcjizL\niaKIsbH2nOdVMp1Vqxrles2T7ddqR6K820I8OjrKhg0bhv/euHEjo6Oju7vbvZLZYk1Jkg5d0Uq5\nIQWTruidN9kHF/tqNpvDmHCapmzevHkorr7vk2WuXCPLsqELzgl0gudNxqbzflxVSo8oqqC1GxAf\nhq78JI57JIkT0WazSZIV/OzmB0gKV+fauP8OaG0eZgnb/mQjD4nBEucxHrKffZxPE99aWEFVXfwy\n6HdyciKsQIAvFaFR9HopUk5+9fK8oFZ1JUKDQQzCMowxRyqgl8Z4eMh+YlMURCTdhPUT44Sq/xCS\npUjhUwsC0lzTjROSLEYXhl7co16rEfRro41xruIkS0nSDGMN1vUWoZd0iZOUOMuIgoRKEBEnGZaE\nwuh+b2kwGrr9657o9ICC0I+oRxFxliJwsWLh6pb6Gcs5FoUvnRikeeqE0braaQsESpHEKb3EufGL\nfha6JwTVIMJXily77G3pSbCuptmzkOUFSmVgBL0swRpNJQr73oIM5SmKIqfiT0aXA+ky1gtdMFJt\nDuuo8yInK3LiLMPrt9YMCNh8211svuNuGo95NE886jkse/RqgH5rTzv8W5n8u9l5c5v5ZPjPR6zn\nk6i4mHX6JSWLwW4L8VOe8hTuuece7r//fkZHR/nP//xPPvShDy3Gue11bB9rGvzRe57rSjUYG5jn\nef+PPhi+b2eZyoPY3mACkpTe8IaRZRlpmg67B029qXmei+953vSGB4MkGiklnU6XTqdDnue0Wi3C\nMKBaraMt3PC7TXSTDK01jfX3ULE5MU5AC61d9ycMzajiWi0WBRrDRK9LUbja3VC55KBCG6DAVz7d\npDdsCwk4wUkSMl1ghSXOUoJ+trgbWRj2twn6SVz9yLO1tPuTmaphf1CBtVg01noIkxN4tX7LK4GQ\nUFiXMd1LOm4dPEGr08ZoQ6PeIAgDCiwYi7UQRVWaniRQLls6ywtyWyCV6NcIS4rCkBY5eZG6Lloy\nwFeeGx5RFGztTLgs6n6nsCR3MfJtbU0UBET9zN5i0D/bGvIip5vEpFmKwdJJY3RRID1FlufEReZi\n1VpjtEYbS61ScfOIjZt9rKTs13K7gRibWxP4PY+8MIBlea1BKF1zkUIbtEmpRM4qtGJ6jD/wXYmX\nEKKf/e6sZk+IfplaPw4tXBilc/vtxOs2sOKgg1j55EMx1WDoZZk6cnFHD6HbC+dUi3dqhv98xXp3\nut2VlCwVuy3ESine/e538/rXvx6tNa94xSs49NBDF+Pc9kqm1tlaa7DW4PvRtEQscE/vWrtWjPNN\nWJkU9ullIp7nLOFB56DpNxLRH1k46eoduKGN0XQ6bbpdN4x94ObudDqMbd7GPZs1QkX4fkB93R3I\n1iayWh2LoSgKcuPKgiyGlrUEgcL3fDy8fr9lD51nZDgLN80TOqlrmhHnGcuqHpEX0km6JKmz9npp\nQrNaI/I9pBRU/Aqe5zkBLDS+VGhrMVrDIBlHKKR0JTd54dzWvTTuN6uIWNaoIz2PJHPTllzGsEus\nwhOYQhNVaijfxwL1IKRZrRL4gYv5phnbei16acp43MUag5JQDSKMNbS7PXpZD6xA+ZJMF6g8QRtF\nL4sxGpIswatAkom+ePYf1kx/LT1vOAQiLXKssbTiHnGaoCnAeMRJTJKl5NpQDUKEMWhT4EnlBlQU\nGdYa0jynE3cJ/ICKr1zNdRq7bPBCE0YhoexPgzKWXtrD2AqBUggBvqdIcjfuEiFQUlILI1dr3W84\nkuaZs+aFwFhNnGSuMUuR06hVCVVI6PsUWrPhztvYdOddqJEmo089jOUHPGYokoMkxB0J8eClJEmn\nWby+7w8t7IWU4+l+zfXMMqYyQ7pk72RRYsRHH300Rx999GLs6iHBoG54UH60feJZFEUo5dNoNKZl\ndu6MqTel7ctEBoPVp5ZJDSztgci3Wu1+WZRFStdCsd3uMDHRwvNW4PuBi3MWPW65ezP4VcJQUl1/\nJ1FnHCM88rzfSlFYimLS8g+UT5Zm4LvuTRbwEGS5ppel/UQhief5UHFWnNaGdtEhzYphzXBhCtpx\ntx9H9lGeIvSchdZOEkzh6oGtMQRBSDOqUJGWTpwQZylGa9dv2jhLPc1ieklALari4VpcWgGBH7gy\nnSxF+j4SXGcra1G+T5wXgEduCiZ6HeIkx3MNsaiEAa1uh04vBut6RWfasKKxDCk8MNbtV+akaYb0\nFAIPT0g6cQ8hXOMSJTwsXr+mOifsHzdCYqWil6UoTyBswHg8ji8k40nC5m6LkVqVShDhIVg1sg+V\nKKKa51RDH21c3Ff017MR1tnWbtFLYnJdUMPF9gMvwKBdLNjzXFa6dpndzh3ddyP3Y63O5e16fMeZ\nqwFPiwSdWzKdM95pIfCwAqqhZkS5mFcvSalHEj3R4t7/+QkbRho8+hlPoTK6mmq1utNubtYyzIEQ\nwv1u0KFrUmjn2n7Syh24rt3Yx7yfiDWwyndvnnJJyZ7kYdFZaykaubs4rCSKolnLIqIompYJPd99\nOhdc4ZJ90qTvOnXCXqvVhxN6to+RVSoV6vU67XabosjIc00Q+KxYsQ9B4PdLmRKUUtw7lpJqCKUl\n2rIWuXUTMoqIlML0XdoeHtWogrEGJVX/Jl1QGIsyzuLsJl3SPKGbJnhCUAurGFu4EhzpxCfROapf\n+pOb3LW+BHRh8KVzp2a6Q5JmdOPusFGF5wmyXoc0z1jeqBIqRS9J0MaNQiyKnDzLqVYrDCYfGazr\n5WwsvpRIT5DnOQUWJSRVq6mEIXmuUVKQGzdIQQqP0HdzkXWe08k1eZq5/SmJEB5FnrKt1cLUKtQq\ndYpUu+ELvsKjQArp4s1ZivQUgXIJaAbY2nHWtgT8wMcTNWfdWYu2EOcJ7W7fwo2qhKkrW6qEFawx\nIJyVGgQ+UegS4DwJWMi1Ic4T4syVFDVqVSI/pNPrkZMhPA/jlpTCFCRZTuQHZDpzTVDArZV03oGi\ncEM7hHWJZ+Otjju+NRhtUFK4bmnCxfONMzOHJVu+8om3TXDrt66jMboK/5jn4u2/35xi7Lw3rjbY\nGD3NGm40Gv1SKL8ffpm+7dR65amua9evPSFNE4wxw6EUZXZ0yd7KQ16IF9pPebFZzCHqbh9OhIQQ\nVCpVNzdXKpYvb1KpVHZYR6yUpFKJ2Lq1O0z6stYy8v+z92ZPkqbXed/vXb8ll+qeAUCCICyKEGmR\nIS6yQ4ygSIdMebnwf+pLi2E7aJP2hWWHHTIVEknRpgxQJAgCmK2rKjO/5d19cb7M7p7pmekBBsTW\nJwIRmO7qysyqfPN5zznP8uStLe3pwpQtp6VSckGlE+79v6UZRe89gx9YohhpVOpG0LF44wk5soSV\nzg7UylEAACAASURBVHnm1jhNZ+ZlkbFyjlhlOdcL3ni0AY9niRdATCo665lXYTGHLCPOqipawZoy\nMUW8tUzLRC6FzvdCWgozar/Deydj4XkmlwRKMQw9zjhiLmgjlw9nDXNtPF7O5FbAGO5cR9d5SSdS\nFiiAYV6CdNUpiqcmil03cFkWXOdZl5UYk7CXDSxpJp8j95czo++5291Rt1SoohU1RkzTyAS14l2H\nNlZ+Tqqy63e3i9QHj4+cLhO+cyxRRs6xJJxz/OzxbY6H/QbAjVwTaQ6M/Y7mJYTjzt9Ra+bZ+UyI\nm2mJEe30tYTdLauEJSz0rmfJK73t2XU9Oy8XrdrED/y8XGhV0bYO/rScCSmTi+Qwx5hQXm9abvHe\nzqXQ6nNv7pjjzY7z/M57/D+//z/z1i/+Pb72u7/F8QtfeOX7vjUB2daem9koxeYDvcp7JkRS0gzD\ndfUjcinnLA8PD6QU2e12L53LrpMEq/1+f5vsvOmI39SPYv1YA/H36qf8edfnEaJ+3Q8Pw3DT/X74\nMeDV8XEvEl66rmO/P9y+bp4XYoyUrZv9xrdP+K7nbv+E47f+nNHL6K6URkiB/TAydpXHaZJUI5QY\nQ2yGFI+XC9pYHk6PxAqHwaO1BNoP1qONPOasFjHLUJah7zkvE9My4YzodkNK1HogF4klVFrhtSVY\ntwFQwZmOinSRKRa8dnSHJ8xx2S4JAmLTOqHURthSlieDJqZIbQljLCllcoWx6+g6twU0VFAVqkQR\n5hxIKWGsoyH2lFprVINAxGLovCPGzFKCpDGVwnF/R9d7Si1kFKpKfKT3Hc56oIKCw3BAKXi4nKA1\nHi4TsSSelB2otplwVFrT7HcjtSlyFpMPs2r6rmfX92htKKWy5ok1JNYgUiljLSlGckmsWcIwtDZb\nJ1xQymAMuGJoVbp5ayylZnIuTDHgtGLsRry1lFo5TwshRpRuQrIrjRAj53miPJXpgzaKwwskwjms\nlFJpCFEwxMAHX/8r7v/qm/zCf/KP+epv/QbG+9v78+od3XXDjXUt0qLANEnesDGG3W5kWRbmeQae\nB0vkXEhp4ny+kFLmyZO727lQSt0Iii+TyN50xm/qR6t+bIH4+/VT/rzr+x2Lv7gf/jCwv6yd/OR/\n++Gv6XvZZadk+ItvnUmh4bzn6ekdVCsoLdm6Sj//d73vyTWzBPmwiyURc8aiMUPH4zyhjKaViGod\nve9IORBzpqEpNTP2oxhi7Hq89by/rqSSWWNgCQFvO6blwuky8XNvv01uBes1zliclqAH7zwVYQ7X\n1lBGQW4oDErJTtNqgzWKsespuZFrIdZK5z1rbOxHR2cdqWR616NUI+RELW1zuZLne/9wQlnFTknA\ngzKa3CrzZeJxXuisprTCYDtstXTekxRb8k/apFArox3o+5Fd32ONYQ6ZVDIxR0KKnM5n6hbL2Eph\nWldh21tHUyKNsm5Ha5CLOFZJZoTGGk2jUlrlfFmASu871rTgjaVZyCkR6ubx3XU83R3Q2tA7T25l\nI1wFYi6oVhn7EWsMtWZyE8Kb3qYyJScJ5tCaTlliq8xxpuTMfjcyR8t+2NNZOWvn5ULMWaxIjUxS\nhEkfsc3yH/7vP+ab//ZP+Zlf/1W+/Ov/kK4fNo07NzXC1U0uxoRSYnoCosPv+/6mXRcG+maB2kSu\nN88TXde91DWnFBmG57yKH8ZF/U29qU+rH2sg/kmSKXxYo/wisNf6ya/lxX97dTnKOQEKpTTjOPDt\n+8R49zMMrWHe+Rvc+R5lPfu+l2SebbQYkmhN9/0eZ4Kwa0thDiu9k93gYiJ46SQvccUZQ0qFUiVy\n0LuORqX3ns53aKWIOYjJRCqM/YhzmlrhNJ1Z8pHeW0quAualklvh8TKB0ZzXlXmeJWu4VWLKaA1a\nG4auo2sdtTSaUpRaBUgaDF5YvYPv6VrFW4fRwgR+dn5AK8W0SOLSJc7opAg50NkBQ0E3RSgZqyHm\nKnKtUjDNYL1BZVjySmc69n1HrZndbtzMMDSj77fwBsglM80zIRWqyjw7X9g50U731rLf1hC1nfHO\no2rjuBtQaKy2eOdx1qAwhLQQS8JohapZMqJbxWjDsNvTjZ5eO5TReGNZYmTZXuP5MsuePYkFat6s\nT3POKONZY8BqLYxlJUQuYXs3Yg5Y5+is5253gIbkOm8/Y288gxdt8/X9pDZZVamVrnlajfztv/o3\nfPtP/pwv/sav8KVf/hopJVkzOH9TI5RSb3asp9P5tvYxxtB1/iUTm+ueOUaJNbwStK7//2VN8w/n\nov6m3tQn1Y8tEH+SkfuPo0zhRY0yvHyR+LQPjeu/PZ9P5JwZx5EQVkKIaK34zrv3/M178sFbz4/s\n3/1rVsBqtXWJEmWYNt0wQOc8netwxm0hC17C62vbTC0iOWdA0YzYWOZc8L5n13V463CbHMYYS2c9\nrYKxiTmsEOQ1ppZY1pnB37GWxBRmam20At3BYZXIeozR5FQwWnHoe9rWddVa0QY0FrWF26dSSLVQ\naiKXxrPzo7CzXcFYAb5cGq0U3n94H7XxrbW2lNy4O/ac5kBICykm5nXlOI4MbrxlFvfdSMoBpx2d\nczjneLI/MnY9KWeMle4VpTHG8Hi5cJ4vAFhj6Y2h7zy7YcQqLTaUXUduDQ10/YA3hlgkY7m2xhIT\nVku85BrETrJZRecsuYguWVWNr43UMiEUlrCIqYu1XKYZbcSnu7aCypVcM7bIc+yc57RM5CkzDuMt\nzuN6UcuuE7m2FaaYc46ru1VF5Gydc+Rcb+5gIN2sMuq5Lj5H8roy/W//F+/8u7/gl373t4hGNPjH\n4+FGRgQ+4in9PPv45TPQ9/2mYmiyRmncrDU/a/DJj0r9MEiob+qHUz/WQPxJRu4/jm/cq2/0+fy8\nAzgcDhwOnz5G67qO06lt3XPDWjHtcM7xx1//hpBqcuHJt78hjNctsShtqUq5VDQaEBMHGQGGjeyj\nWIIEFIQUxSS/Qt95Wm10rmNNgbfv7hi6QYBjs1tUSmwSlVaUeg0hEAlMLgmbFbFU8iYFO3Q70BJ5\n2DvHEsNm3mHw3rLGhLcKYw2dc1hrGH3PaZ6JTYILcsl4Y1hrwajCsi7MKTFsbl/7cceuH3l4fCSX\nwjh4UB1zXDHW8u75BEUA/me/+CWG6USIkdZEn21QOG3w/bjtbBO0HmcdrSn2w8Bu2FFqxgVhn0/z\nvPk6Z1RVHPcH+m5gDYHOezolRLFh6OiMw28aWh0jD9OZlBLOeUbfEVMglUytlZwSFcW+H9AolDaM\nzrPGjN6mAKFWHh5ORDJHd0CpymWOm1kLsGuM/Y4pzJSSUMagaIzdiFINoxWd70glo1ESVNGAJiSt\nRtveO9ziGK9RiwDGqC2Ccbt85UK+7qa/8x2Wf/EHvP21X+Dn/9Nfw33pS4gk0PLwcL95ksuI+rrf\nzbmQ88vJZK01jsfjTTaolESJflib3HXdzfL1s9bfJTD+IEiob4D9R7d+bIEYPl/G8g+yXvcArOuK\nMZonT+5eurHLiO2TX9NVMjUML7ND/8N3TsSiqbXRP7yLXi80Bb13m2+0SFg0sgN1G3jGHLmsCWuE\nHNT3HZdpEi1vLawxMw6ecdjJeLJmjHWkUvBNbDUbW2Ok4It3T3j2+LDZPbaba9b+cCCHgGpQasYq\nCXfY9/3NMUoZsMphjXRG1hjBAXnlohnuM8tpRSnZoZbNGSrmFdA8GTfJEJKvK/9LKL2FT2hNTpkQ\nE7lcyC2hq+Lp3R1PDkdO08Q0T5Rc6buBcegZuo7TNIHWxJKJIaFRjKVnjpHRe1IRB6z9fkRpkW1p\nI25VWmnWBrUpIUKVhEFzSTPrKeKtxCiel5nOdYS0sqZI3QAxZ7kspCKj6f24k0lG55lDAq2k2zaW\nTJOxfoxYren7kVoFzHXTqFZZwopC5E65iGyq8xajLaf5AvX6WIo5BEqtKD1zHIUN7uw2FbGiUW6I\nT6m1hlzK9ttqhLzlG6srfCs++MZfM3/7HX7tv/rPOX7tFxjHgXWdRU6lxF3OWrv5sFdy9izLfHuf\nX4FatPLmdiauLnXXijFgrf3MQPR3qc74QZBQf9jqkjf1yfVjDcTw+TCWf5D1WczsXySfvfg6XrXT\n+ui4TW0j+RceN0b+/OvfYZ5XnLG8df4A7WXMeAXbNWZCyVCbdLBFEfNFPpBrZW3CVu6tI1gr7le9\nFX2zHei9pP4cxj29M8RcmUOgtUjfOWqDvnP8zNMv8O1n9/LhWgu5JHrfozVY63my3/G4LPjN/jHm\nwuD8C7tGifqrpWJdR0iJRCbEikKzH0aeHvZ89/6e0XuCNpSwUBubRCkQlkRMiZwysSQsmr4bqQ3W\ntBJrIqe6aae3iUvN2JLZDzus1nTesuv2OCfduVGKXAvrMnMYD5SamZeVBnxQJPTBbztjqmKNC0oZ\n2WVrQysVjYyKW6mEWljWlXmZGfoOpTQaTYiJOSzkkjn0o4RmKLDFkGpGK7U5Y8FpESKX047zOlNq\nxhhFLZpYIkp7dl1PzIWQxD87lYJWsnN31jI4h9KwxkQpSbrYXGhaRu4x55sz2dX96nk3nG/vU7tF\nZl51yDFHzsuM3UhZfff8d3y+TPzFH/5L+n/7Z3ztn/023vf0/fOL5fO8bXj69OlNYSBe69ds4uep\nTy/ujq913Tt/ltH036U64wdBQv1RUZe8qY+vH3sghu+fsfyDqk86APByEscnkc+uey9jthSkjwH3\n1hqPj2diDKSU+eCcWGKh6zrsO39LXc7YLfWntYY1FqMTHoPzkrYTUuQ0i7QmpYyxlt5aYsmbK3EF\nZRi6nt3oCSkLYCpF7zoaEbOBwnG3R6NptTGtE092I2elCGmF5rc0oh5jFCFlam0saUVpReegVrF2\n1EbjtOE8zzhnthxgjVZKzB5aI6W8kYU8MQWc1iRr0cmSYuDhdCLXLN2o1qimyapSa+Y8B0KNTGsS\nlq3z6M20Yp5mQkr0vkM3jW6OWgqhVgmiMJqUi3hDx8hbhyd0TgxUPnhcudQVowIhJ0JeWXMkxMh+\n2HOaH0m5UlshtY6QA0aJh7V830op0r0X1cRpzRouYSHlKPagVmObZfQ9rVaqBlUUISUCicsy03Kh\nFMlUDhtxa+wLvevonePJ8U7kYNqyG8Q8RtGopdF7xXlZuBv3zGZBaUNnDWtKrHllR8f9dOIpsku2\nxmK1xF6uceVxPlNLQxtDzCutGvn7WnDOylRmc/sqtTHFmWd/deLxu+/ypV//Fb70q7+M3jzJxTWu\n0nXCa5CUs/6Vl/DreXrVRV120K8HxK8DjM8f76PP4bM2CJ83CfVHTV3ypl5dPxFA/KNYn3YArl3E\ni3/+KvLZNWJx+6rN/EAIJy9aAV47A+csl8sJrQ3//q/fpyjL0B/YPbwjyTzaiqtSrjRk1HgNX4g5\nSaJSWogxsR9GShWS0LTOeKfZ9TtClPi907QKcO6O7AZJtRGfZkdp5fa6FIpn5zMxJbGYVBZlDTrC\ntJzZjfvNIalyXpfNRapj7DK9G9h3YgYSi4ydc6ns+w61fejXVgk5ypi9NS5LwhhQDU6XE6f5zBIC\niYrXDmPFOeo4HNBGM1hDmFaMVhQjY/uoMufziiLzhWHENIX2iofLI1VJvm+pjbH35Fxw1onxhwLn\nLLU1QhRXKNd1kCpTWHm4PFLQ3O32skuvkdM6c2cMy7wSSqaVzNPjHb3rUFrRNJQkOu6SC2jIqbKy\nsqTG2I/klrdRbKazMC3iW11qZppmcivcHe7QVQCvbfvd/Xik1cIlJawyaG3wxrLGgFKaUiq1ym4b\npSglszZxVluWyAftxLGMlFJx1rLvRwm7mE5c5pVatlSvcdzG8Y2hc2jVy/dusKwro+/pvcMqS6Kw\nhsi3//Wfcv+X3+Tn/slvcPjyz2xM6pcnSi+C3IeB73qePgqQr0/m/DRgXJZlSzx7+VL8vY6CP28S\n6k+auuQntd4A8Q+oXucAvPxnHyWfXf13h0HsMltrvPPOe2itbof6uht77733GMdh+76K90+RZnp0\na/hn32WgclKVDy4n2vZB2nWOznlUU5SapdNKkYfzROctoLBas6wXWquEmPHGsUSxtARJBeq9pXce\nvT3HF38GVYncKKTI2HfkkkXOk4Lscpt00nNaOc8zikbnnGTgaktk5XGu5FTovMNrwxQlJzjkGY2A\nzL4baVTWlMk1MwWxmnTGklJhLRmnDNYZqEqSlGxiHAacsswhoJVFqR26weP5niWu9L6n5IwfPKZq\n7g57Lot4OueSqcuW5WugNwPzutysGisNZx3ny4UlSUSlNpZOW7zpOC8LfedZY+K8XCilkWtkWQKH\nYSRs3tmlFVJN4vilhUmNgqMe2I8Hdn3PrtuhtcQgppBZwkyqlcs8o1ShtwOHbuRUMus6c1ou1FLY\njT2DH0g5Y7Um18p5nUml0FuH1hprBECnFEh5Y2cj+/+h95wuF1Iq7IYemvhwny8zbXv9tRVO0xnn\nPDvf0VBYpzcegYzlnTW4bVrhrKRdpVKwp4lv/i//B0+/9gv8x7/3O7fgkw/Xq4Dv8yBzfhIwLsvK\nMPCRideV6/G9jII/bxLqT5q65Ce13gDxD6i+lwPwIvkMGssiqUnXP18W+ZBv7fleOKXEPM+UkrcO\nWQhN3/jbB1KqWG0Z3vkbYo6oquTD1eib0X/Mid52xFRx2mD7jv04wjYG1FqjjYVcN0OOyOBHnNWk\nkjHKkmvjsix465hDwNuGsTIGBZjCwrSuqDbgnZdUBhSDNYzjDqMbpSJRgU2hNCgKyoj0ZVlXeuMp\nJfOwBsIy04wipczQeXGPKhUNGGNxWpO1JuUk2lrbc1lmMoVTTvSdaJtDWYnrgN+JLja3zOUys6TA\n2A+Ultn5noowvJ3r0EoTc6K1yhoSpS6sJZNipB8Dd8ed+HLnTNlIVZVGt+1ku9pvsqBGbhlTzGZ7\nmUA3et1RvSKXSudFo3uZzmgch35gHIRpfQkrKRVqkcuRd5YQI4+Pj1QtOchOK+xGUDNWcV7O0BS7\nfscSFmorfPfZ+3zweM9bh6eMu54lRJzWlFwoRuGUx2gNNDrjeJweyCmzxMDdfkcphRAjcwzMweOs\nR2uFNlp+5rbcEp0u80Qa9hhnWLNGY+i9jI2dsduO+fmu+bLxCTSK8Bf/nvDOB/zD/+J3efuXv/bS\nufm4FZBz/qZN/l5JSh8HjLVWlOKV2cbn8/klh6/r9xFLTvepQTCfJwn1J1Fd8pNYb4D4c6pXkae+\nlwNw3WmVjWX6MgM03szvXxwpzfP0EjiflsJlEUeq3fQBJq3MOeOckV0hLxLCGqWWDcjBKAEylKYh\nFoJGae52O6Yo4Qi1NZY1wPZ487LinaXSQMHjdOa4G1HdQGlNXJyUkKa8cZjeoKL4FWuliaVQKVRA\ntUKJQuY6zVUuCl1HNJWUI+sWf/iwnHCmo5Qe54W8dTcemMLMsqzcnx8lUjBn9v2OJ8ORUAMF0Ujn\nnEm5ssSFrvc442QHbAJ931FKpraRzjl676VDU5lEZo4zuUg+cSmKWhKxRJbHwLt+4OmxSrenDffn\ne9AWVSEn0Wlbo1hTwGIorZJKopVG1Q3nOrwrVKUorW3TC8NbTw6gJBKj2ordOq/9MJBK5r3HZzhl\naFpTasJ7SysKYy0lZ1IqXMqMMyJNWzejkf3ebyPixnmaQSu8tfTb7jPkRKqVViHkgteWpitj12OV\nZQ2BBtLFtooqiZrbzb/6Fq1Y2uYatvLEHxicREzWKnnNnfMfOQtOO8auF6czpZgvF/70f/hDvvL/\n/SV///d+BzuOn7oCOh6P3zeZ81XA6JzjVbh4nYR9eOT7fMXUeJ1o1M+ThPrjoi75aa43QPw51Mft\ng77XA6CU2gD4+eFblpXLZSJniYbz3t+IKqBeMrx/5zGhlBHi0cM7VCrWaDrbMZf1pcfy1stzo2GN\nEYtDI5GFAEprnuz25JKxTlOLuG+lkkVBqqQ7aPQcxoHeeYxRrGvgWXvAGksuiV03cJonBl9oSHxi\nLpHjfqA16WZrLeQsXfea0jYSNcxlQfnGmqKMNa2YRlhVKaWRLgvjbmBJK6fzhaHr6Lt+k7oqcspU\nJNt3jpH3H5/hTM/QC2vZOstxPKCU3sarkgHxcLlQiozV1xjRdo9qDdWkK17CijcdnbfszYCqoHVj\n13t2/Y7WKudzYikXvJUowmVdaM2xqMi8Bpy1aKsYXYd2wqYezJ4nhz3OeayVqMgQxCSEpqBptBKy\nnTZGxuS5UFQlhAXfOXKpWwKVwdjGaVp4XC/0xmGxpJaptrFMK1NeJDACxTju+NLxCSjJjpbfFjij\nac7hjGaJllbES1oZxbKu5JwZek+uTZy0SqHUJvacCKBbJZakpQnRjW2C4529TV9gu3TmTOfFCe3F\ncxFT4p1vfJPzux/wD/75P2X/1Z//yAroOZO7bZyK148ifVW1Ju5jV7vN6/c6ndJHvva5euFlEL52\n7FfC5euMqj9PEuqPurrkp73eAPH3WZ8mDXjVAbiyPz+JKPFiRx1C3LKJZTfsnEgyWmvbh7Xl6dMn\nhBC5v7/nb77zPrU0XIkcVaXrxi0mT932b0qpbT9XGUzHcdzdiFWd9UxxYQ0BpQzWaI67HUtIvPf4\nAWsMaKXxvpPOsKy0VkilSvg8lq7T7EZJ+LmfzkyzjHxpW7fYKrVlnPEYJU5dKUaWkPDWYLUEN6Ai\n3nge5gnVFLRKshrv3HNiTAjUXFhKAaoYejjRNO+04zxdKDVL56YNd/0O4wzGGMZhRKNx3uG0EUY3\nivM00RuH8QOXdSKkBabGYRCS1WVdGJ34SXvrQGnWvJKyjKxDOJNrpu898RyoSVKo3jreobVmWmf2\n48BoPNZ2dL3j2fkRs1mSdr6jlUaOCWUbzji81txPE2tYmdOCN45WBCqtMfR+QCvD3fHAs4d7lFb0\nviMnRSlnVG5bDKOkY60pcAoXYsk8GY8sJVNp3M8jb++PxJzorCflJNpbrTavLVDGcJ4uxJgISWRa\nRlmscZyXRy7rhV0/clozJWdyTtwdjlhrpcvVsh6pDSGFkaHJx5HIx/RtVP3hajSWy8yf/Ys/5Iu/\n8jXe/s1fxfdXf+nngSlXctfH7ZVf93x/3EX6VRMvEBOe23PdOnat1U06dT3ff9es5TcA/KNbb4D4\n+6jXlQa8eACuB7vrGqfT+RM75OuIep5n0WNai9aK/V5IWTkXDoc9+/3++oyYk6LrpDveP8y0Kjm0\nL5otQGQOqwQ5GI0zBmfNllUrO8zOe8pQsFY66V0/0rmZJQS0duQtkWmJgVISthhqLei2gYMW+Uuu\nGd0UCk3vHL0ftrF7pbOeECPaKELMDMMgDlYo5nVBafAbYSimuLl9gVNG9tzbz9Q5h7GOy3QWK8bN\n25ha8NaxG3qi1aznE7k2jLNoZWhV3/TTrRYOuyPOOk6XE8laQsrMywStMZoRZwRotBZ52HHcYawm\n5kitBeM8tVXWuJJLZewHvNE8PR45z4s4UBnNvt/xdH+QxzNWCF5NgPr+dIHauD89knJh7AeMsbz/\n8ABUYslU1DZOrpzCJOCKYejhMI4cxx0pZuYwYRrEAofdgX7oSTFjvWXUlvvLiRDlPZBq3pjUjfN0\nZos7FiBvhZSS+FAbh9IWo8Aqy1xXmYJocV877pyMz3Oj5CJhDbZjd3eHN14sUkvB33arTRy6mmbo\nehkCNVjiy5Obl84Xist6YV4D7/yfz/B/+mf80j//Hd76ylc2BrN6ISQisa7qexrDfviSLed9pbV2\nk07BRydeh8Nz1nRrldYqzvUfeQ5vWMtv6lpvgPj7qM8qDXjxYGstrMqPG1G9eJCVkl3x22+/TYyR\nlNLtMZzzjKNExD08PPLevUidrLMc1rOMwXJm7KQrSDlLtJ4yHEd/S84ptYj/MIpY0m2/B5o5LqBk\nJD2FhXUNaKOw2vBk3HFeFkqrW/KOpA3pJnm4NCg0UoloY/HWUrd4vrtxJ+Ckjewgk+hkFWLN2PsO\npZokDuVM53u0Eict0FzmC6UWhm7AKkWrDd8Jczdm8ad2xkDXse96Ss18cD4zeiGMpZy5xBVrHEM3\nyErAagpQChilMQp2/U726E1+RoPf4bszrUFMkfMqLPLONqzqyU1cqYTM5sTP2cprtsYx9h2977cu\n1kuoQhV3s7UPrHEV8lrvQTVyrtyf7jmtCzQl1qKtsjvutrF14rjrCUGAshZhMJccMb3nOEKoknwV\nYmSJcqGaw4LTlsNujzVGogJpTOuMMQajLc/KA2pzArPGo1Tj0A+EHDnsBiqShtQ7L4zr5cLgPbsv\nfQnVxINctYZ3PWteUVUxhYVSRXuN0jzZH1hiwDlL7wSMrxfHD/MrnLVMQSIgrd466Dnyp7//P/H2\nr/wDvvqbv05K6YVLsISmfNbO88OX7Bc77dPpzBe+8IUbGL9q5Hv987pZt4o/98tckjes5Td1rTdA\n/H3UZ2FGfxZh/YuA3Zowo5dlYZqmbTTttkPebmO3rus4Hg+cw4lh3KFzwk7n549Pw1t/091eAfha\nWmkUWiLssHjjQAlwX7sMjWHfdTffaW8cShusTZSSWZYVozSdFy/fXBLPpkdUkV1yromYAjk3lJEP\n2yUGOusprVByFDJRkRjDzgnD21gLTaICT8uFRiLXdosy3N/tWNaJ3W7AaMdlnmXH2Pmtg9csVVyd\nUopcSiO2TC0ZZ8S4Y+gHWoNpmnHasBt6tDHkU2FaJ9bNdUvrM8fhyJfunvBwegQUThmMN3gnwL+G\nSFOFlDSL0XRGQFdpkWo541jWhS8+eUrIifM0oRGASqXIDthCTImoEg+PZ+aYmEPEavDG4gdLLAGT\nIBlLa4VcFKC5rAutVlzX44zFKIWKmmIyw+HAEDyzXTgtZ7TWrCGgVePJ/glWG9a00qq8h0uT1CkF\n23tHbV7gFq3huDuQYyHWICYia+Bw2PPWMJC2yMIGNCUXO4MWYtgiz7HvOkKKKOUlfUtFvPWvgTJU\nVQAAIABJREFUdOmS2EvLw3q+gfC1rDL85b/6E8r9mV/+vd/FbecipbStgQ6fGYivXy7nMb3EkI4x\noNQWU/kxI98r16Pv+9uK6do919rY7/e3VdWb3e1Pd70B4u+znHPb/vZlA/pXWVK+Tvf8YcCWBCWN\n1kqi6pTaUo/gcDi+tHM6TZGw7X/9+YNNhbo9xpX4pbixUF9+DiJ1iSXdxt6tSdD70HmWNW5dnXQZ\n0zzDMEKLQggC5hTQUYhesSRKTqwhY63awgHEqhGQvOAtQSgVGXNrbej9dfcYaQ2MatwdjnhnCCGI\nTWKJhC2e8f4SeJhP9Nbycz/7FUrNaAWNyhID3hjGrmdeV1Kq9L7n/nJPDGJQoW1kDSu9sXw9Be72\nd1u3FglzYk2J87JgrCaTUVkRa8Jh8J1n1w8sqzhzDaajc44lR1zT5NbotGboBlCNyzRhtSYkCZ9I\nRYhuMSWMkb1xqZU1RqoCtY1CH5cLxlq891gNoSR01BRTWXKgrYrVenbDnrvdjt1uIIZE5yWEItUk\nBitRnsMcA60WnvgDzcFh3G1BH5mmK70VI5fDrieUwHJZb5OHvut5ujvy3Yf3CXHbHVsY1IixEWet\n6MSzdK805PUgRi/73jPHhPdbOpdSYlLiZI1BBmfkIiee1Y5Gu9my5s1Y5Hqmrn8HUEri9N13+Xf/\n3R/w9/7pP+HpL/w8IETH5/aYrwd410v2Va3w8vkW2dLr7nifG3ysL3TMHcZoHh4ebp37GzbzT2+9\nAeLvsV4kcSzLilJsLOZXH6bX7Z5fBOwrKPd9TwiKZVkppaCUvoH9i9///vI8NN09fEBtFZo4Pd0A\nm4//0HDWETepC0ptshRHzIn7aebQ9xitJerPGHJN0CQf1iiPNhZnNKkWWmzUpmka5mXd7A8VTjuW\nuEhofANKojQZ2U5JOkOUki5OifPSJcwsa+C8XLjbHVBFdMulJIqSWD2F4t333me/39P1Hd57UhS3\nrTUL2a3QaC1RlSW1lVor+26P0po5RULMdMYzjDsUgWfnR6ZVHKp637HvdzhvsVhia+ImpS1usDwu\njcF1GKux1mOUFtlQzszLzJoDnfHUqqAplFXM6wRKMQ4dMRdyrSgl+9pKwStPVQ00uO1n4ozBdfI7\n0SgO/chbxydyIQiJx+m5lWdN4mLWKmhlcKZjVZF5vaCbput71jQxzTO7cUcuGaM7duNAiIGYIt4J\nM9tYg7NaLmFhlv35urDvB2rLzGFmLZmcIvv9gTWt6KyYl4WqFKPvebplX68pkkrFahnbGivErFQK\nRpuXwPVKILyWRt8uermUW7DI1QhENUVaAl//o3/J4e//PD/zG7+C7zveffddjNFbXKKwoD+JxHUl\nS4bw8q76xUu2Us+B/ZPq+jXH4/Gli8C6rqxr4O7u+YX6jQf0T2e9AeLPWK2J0UbO6da17nYS6m6t\nYxiGjx1TvY6u+EXAfhGUu66TVKL9Xqwk20c/BB6WhrGW5fSAf//bpFbFscjZl7qHj92/GYtWmrFz\nt+Sc984zIQameaK3lmae5ww7K1aOu24gl8QaEsoqLvPKYexJqch+N6bNIaoyGkvzPSDSltrkcaCh\nm0JbCVbQWkhXeWOH15rJIXHmQsyZ83pGG8tx3JGLSHnO4cxluvD222+B0pwW8TnOSSYJ+77ncc50\nWhGMlZ2tshx2IyWLr/Z752d088wcZyiKfT/K66RRaVzigkuJRKQmWPuIN3ZLFBL7Ub+FL9AUS1ww\n2ZFqRnUQ54y1lif9E6yGD0739K5jiYFnp0eskg6WqshkprwQYwWbhbhmRJNLhc53fPH4Fs5bGhWt\nYE2JvtvkQ7mwG+BxXemtwTuDT47Bj3hnyTHj3UiIK/ePzxh8z3A4sh/3KCC3xDyvm868Mngv+vFa\nsduef4rhObig8bbnfJk40zh0I+PQo9BY64ipMJtFUqdyxBlF7/vb++nK4r+9V19xjrTWWKuY5ojW\n5gbROUuIiHeWKSwsYeW9f/OMh2//Lb/4n/02w1dHShGCpFKKabpwPjuOx1czs4GbPPB0Om9n5HrJ\n7m7//Tqj5Os5frETf95pvxxA8cNgU7+pH369AeLPUHKDXblczjwX5cuh1FqTUvrEW/aLLMtaK6XU\nj3TPHwbsWhtIaixd190MPiR3+EWnn8bDOQAwpsC+e56yNK8LDXG+gm3XZg0p59uHnrcOZx3OrtSN\nOHQOE/MqxBq0+FIrJTnG1hrYOtkGsmNF9KKdl++1xkApGTQoLUYGxmo67TDG0pS8hmWNPF6eEbIw\nqTvv0LqxTjNLWtjZHUY7cIqYMlNcuawrh0HY4blIClJIiVIb9nKW/ONc0U4RSmRdI9YoaiuEkmRs\nXzJLXlCz/ByP48hR71AGjHHMnCmxctiNxCBEtl3XE1IgrgljHCGs+P0Rr71871xx3kKCc5gIrXK0\nnpIL92WhMxqLRutGyo01LJyZqYiWeq2J3jpiiZSoOE8zrSmM7nHWgFH0xqD6jv/oi19mvxt5PF8w\nxnA/nXHWcllnTJM4Q6008zyh+xGt63aBcuSSSLUImc15HqaEsZUcIq2K7to2jTMaox3WGEJKrHGl\n758yOo/RR+5PD7SmOM0zrVZ2uwHVJBfbGYNSjn3fY63hsiy8++wCqtLQxBIYUuKtwxPpENMql4kY\nbu/TFyVMrQlQe9NR+uemMrTGMHSyw66SOpVMxlvN8nDhz/7HP+If/de/x91XvkwIYcsr1qIRD4F1\njR/bgQ7DwBe+8AViDC/pkT+LM9WrpmFXK9hXgfkbNvVPX70B4tesK4FKa7XtbF9kPAsYv84BurIp\nD4c9Ibx6V3X9UDidHglBTOW9726GAq/6ELgsibIFxY9Rug6QsW0u9eZqpbUm57LF012TjLiRYrz1\n5JK5rAtzWPHWkYums1BLI7aIcx0HL/7XTluUglwyuVZqbUL+QVErmz0ipJSpLVJq5snuiDOGlAu9\ndwyd5/6k8NqQS6LGyroGmlIYZdEVmmrYZsm64IylM47SGs/OZ6wR4w7vPJd55vFywnsvrlVz4nGe\nMRj2+45lStQir7fVRiqBEgtzTnhjGboOj5MQCwNLWnnaH5n1ypoSjUZsBW0svbfkBjlH0bbmgreS\nnTzVifvpIrImve2CcyRox2WdRcKlIZaEQkhejUYrhXPKjK7j7tCDLqSUt32rkp+Ds+yGHUprYiyU\nVglr4DxNYpKy29Oq+HxPyyQ2kUqDEqOM0qpcTJyT31lrdN6x70dKgw8e78XX2neUnOg7j7MSfemN\nlyzkLQ2s7zu+9d13mNaF/W4nvtHOMi0rp3nCxJWSd/T9yBoitEqpknplWseUZ5Q2GC3AO/jnF1nh\nKQQJ1Mgyiq6tssRIZx3jYdguMHIeSy2EHIglsYRwe21aaf717/8BX/3H/4iv/uavfeSMfloHep1y\nySqqvXL99En751dNw658kGuS1Iv14VXVGyLXT369AeLXqE9nPPvbrfd1b8iv4/ZzNQQJIRKjMC5L\nqdzd3X3kBn+e4+2Wbdf59rznsMoH3/Z33jjpmpYZBbcknga4nHBOmKnWiPHCs3AmlyLa0FbRynEc\nB3rfAZWcK1NcN8coCQfYjyPLKh+wSlusEYD2WnykzcZUbghAnefl9oGaSyUuC2hDpTKHecsTXnHG\nU1PFKNl1awUxF3b9kZozuRa881Qy0KgZlpSxm6VlThVrDWXNKCCWwnE/CgO36M2PW2INbZMd697v\niC0z5yAxjFbjUPSD2CuiNZcYeZjOssPVHdN8IbVMKQm0Yk2RTltKbaSyUErBorDebolGDYOQsFqT\nnWhpjcdppnM93oknuLWWzliGbuQLxzumaQIjkZNLWFjywhwCa0w450Qq1iZUM6j2yNAPhFX23cmF\nLcdXJEapZlopRJ1xylO2EAjVFFSYp0CqgSeHO5wVBzDVIKVKbhVtNblk5mUhlkpMK6V0G/te8Xi5\nMK0zx/2R3jm0MxzGAZREbzbgMOxvExoaxBKJS94er+GtFStSxIsb8ssd87Z68cZhrcVW2SAvURjd\n3/zjPyHdn/j1/+a/BP3c5vV6gb6emVeB3ic5U71O0tKrNMe73f4jnykvXrJf5/u+AeqfjHoDxK9R\nL+5qlRKHnKuk58VD/HntdT4M/BL80G270pdJWte6LOn22DYIEIccJAxBaTSVUgrnIAYa0xrY9Z2E\nNmyklxAbLhsO47hlCAdayzhjGTtHLpmQA6dlEQ9m56EJO9oozZrCZisJMVWgcHc4sut7UhY/61wL\npWasHVBac3964HE6U6t4a6eSMM6SYibkBE3hfcdlnVFNgNSqDqMNMUSmtDCvM601jNL03qPpgYQ2\nis5qnHEkZyQIwVrWNeCdZegVTVUGN+A3M/41B9YcOQwDvrfUXAkpoqui9xpwVF2YwoS1Dm88rimM\n0qArrRaKFvcyZz2pBByaznouy8LDZUIpKKUw5oHDbmQJgRBXeu/x/XAjLK1xodOend/ROc+cIgWR\nbL13esZ5Xhi7nkbl4Xwi18LO9WijhSXdxKTFqEwqiVzL9rtWgGJwHRVJ4rJNEVWj5IxeV2Kt5Lhy\n6Hd4K8Dmq0ErQ2csUUlUYUyRzomu2VlLKpUlzCjNLR7SoIk1EnOktIQ23bZ+sHTOyq5X6Y0JX7eO\ndgU0VmtSMYy+38A3vZTO5MxztYEzliWEzcMceZ1KLioxRZpWvPfX3+L//e//iF/8vd+mv7vbgEwA\nMsb4iaD3KrD7NGe9F6vrOpyT9dD1Iv5xYPs63/d7jVp8Uz969QaIX6M+vOO5vtljjFtea6PvP79D\n8Cqp0/VDoDUh4lw9a691BWJrLXqZRIJUZCdIE1OMWhRaG3LJMsaLGaUS3nYokKi9y4zRmtYqjcJx\n3N8+wI3RdHh6J0H0MiaUEWBIoqu02qKVwh1F27rf7YSAVApTWG8JSd5a3j+feJxOtKbYjSMpFXKY\nMMVSWmPoOp4c94QQhQzXWax2HLoO3zlOj2cwisH3hBKF4NQqrYmndGcM2oiW01rN6EbQGu+8+DPX\nBLHRbKMUYXt76/DOsRt3UArvzvfElNn5Aa/8zVXsXAKlKVKueGdQNEwzsHX1l2Uh5pXzEokJjJbL\nhkbG9VoJ2F7WBdU0VGhNuu2SC5c0o3GULY0qt0LLhWmNrMtK5x3TvDKnFYPidJmoujGplc44nLb4\nQcbzx/1hy63OKGUY+g4dYM2ZEGc6N9A5TwoLxhpijizrzH4Qlrj3joaiFI0yYniiNpAbuh6tFefF\nkEokVwnT6J0jtIivnqYqu34Ubbd7fkZqq1BlSpNLIWTR/NYihC1aJdaKoxE2wE+lMHq5aIUksiyN\nFt6DsTgrrmbeerISD26rFc15vHdopfn2t/6Gd//b7/JL/+x30Doxz5W3337rM8cWftKk7MNJS5/k\nR/8qC9xP8xwIIbz2BeBN/ejXGyB+jXrVjqfve9F1fgJT+vt5vFdJndZ1ZVmucgr10g14DrLj7ZXC\nGUVI0uWK/rGiqr7pL69uP7kUtJawhVgitUhXWatInowyVBpWW4w21FY5jju89wJ8TVGqWPixTQZy\nyzjtoAnop5RQGytWNfB+oJRIyJFcsuwutYIi2t9KhSrOXHf7PZ3rOOkLT8oTnBWQsr0jZgHmL/df\nYo4LqihCSKxroO88w2ZIYrRFI51yZxypbalJObLzA/boWPOKxvA4T6Sc6FxHDok5iZGFt7IjjUHi\nD2PJQgozEg7hjKOomVoaqVbUthPuXU8phd4J0YkCIMxq6wQ4zvMsjOzccF3dxsWNlgvaeYwS+8fT\nfIYqCUnKKvZl4BwW/AaOp3XBanFaU0qLNWXJKKvIteK0ptZCQXy9nTbsXMcMlFxYq3yID74nlcxu\nHPHWEmPGm8waE0o1tM48NrDew0b8sk4uL+d1QdWJYgvWOJ4Mdzw9CgPbGMcSPCGsxCT8hGbYwNyL\npWWrrClitKLURsmSyVWrJSZ5f18zjL316O11GmVuSgJvPYrEEhtGO4y3G5dB9OTvXx5RBVRufP1/\n/d+xJeC//BUeH+1L0YWvw17+OG+AK6mTLWmptfaJ+cQf7rQ/zXOg1vra5kBv6sej3gDxa9bfZZTY\nq4D/arE3DMONOf3iYV6DjHZ1DDcHLQDTGUIOnOcFRSNtu1SlGktciSXjjCFuj9X7fpPgOMwmlfGd\n7DKdMXS2EwJYFZvMmBKlZeY1YIx4IO96ibDrO8/jNLFodfOdXtbI0HegK85oOt9Bq8whgAJvO3H+\ncg6rHSmLbOc4NqwRJnbOhbAEXOcxCBFMa4V3hrF6Gmz7RJEdpZxkF6sbve34sn2bKQRSWcg5E1PG\nbHrW3g3UWnlveiaGHNbRGYP3njnNxJjFW7pUjNPENVPSGdUUTVdKaihTaa1grOOwP4rhibbkmmmp\n0VkBsYZ0lDkHtHc82e3onBMQ0gZVKgMWWqNue2VsRVWzeU1n5gAhLJyXwNi5jSBXKfSkGGhJY5sh\nWY3zPVZVGRW3wrHvOBxGvvXdd/jg9Iz9MPLewwcc+pHeOZzz1FyE7NeKTICaIoXEfhzwrue43xFD\nJOcINMZhINPYm57duMNZCd2Y1xORCqHIZc0IGPfdQUB1y48+zQulZpYgY/fdMGKtkfdPyTQFoxfm\nekPcx2RcLftjYzStWnZdTyoFqw3q/2fvXXosy9LzvGfd9+WcE5lVXaREiJYJSpQImQIEGKZli7Jg\nsWVAnhnwxCPOOOU/4IA/gZwS4Jwj24BpmZYs2iREGb7Bkm1ZBA1S1oViVWVGnMvee909+HZEZl26\nMqu62e7qzgU0uqoiI86JyFj7W+v73vd5UVgrBdFqxTAfuGw34pL43/7eb+O/8Zw/9+/9NKfT8RPg\njs8TX356JvvpA/MjhUsp/bRPHx4un+mYfVHRfBNz4PG9ff6z453i+uu43hXiL7G+m1Firxd+6Kzr\ntrNtPwnxeNzMW5Ibg9lh+VrrPXe3Emwguyq5v63gjKY1zYfLAylv3B1OYknScgt+eb1wN81Y49ny\nJiCEvaW4pHW3moh46bzcyEmC4q2xeOdIpeIGxzTOnJcFozTeK0qzXNcbt63iiyO3jDWWW7xKEXYe\nZzUpS/sx1cTkBmKuIr6xBpXkBgVQYgLv98i9RggjWyqMzu5YTAjWsSyrYCz9ILd8IweIVA1dVekE\nuMbIQNeVVDvnuGG0AqXJNbHVSEeRswQ0LDnRGyjdWNfMaZ5RyqJshSrt55ii3FBrB92hiQo81ywH\nHa3QXTGPd1ivUXRikbGBMxqDcK7tHjYxWotxlusm8YQ0xfn2EoPFa1Gpj5NEIN6fzxymA9ZopmHY\n06wyuXUWNnLLPKsH1hQZh4ExBeFtG7Da0BqiKk8Z46VzEXyQVK7WKLeKtxHrNMZKB2TyAW883zi+\nx1YTLx5ecrnC/XZFdSPCuMHTG7vPuQEdbw0lZnKpBGtQyhJzIuVMKReYFc6ZvQjW3eakGdyrvSDB\nGQudzsPtKvNkJeKt0zQxmFm6F9ZziyslFUFuKs35//1j/q//5u/z/HjHn/rRH336mp8WX35ee/n1\nA/OjN/jxIC32Q+lypJQ+U3S/VdF8E3NAbv+f/9x4W8Hou/W9td4V4i+5vmwB/nZUjY+FX9KKeDph\nf/L9wJakVQqvCjHwxOu9bQupJj6+XLFaMZlpFzEZtAr01rDGEHwglch1STij5UHlLDlXUr1SSqV1\nhVGdy7rQSud6vYHqNAq5dAYfOI0zaMX1dqH3tt8GOzFJOEKphVwyRmte3M48nB+Y5pm7XaU7+IFh\nHFluVxoVZTQGg0ETBs8WRXgUa2J9eZGCriy1VQ7jxOwHKqKubh28t6LQrp2UF65pZY0J7wzzMOO1\np1JZS+bF5QFrDA/Xe6wxjEHEbrWJCrzWzGGYeG4drWQKcvtft4h3BmvDk3gv58gcHMbA7VJpvYi4\ny2mUkq8VwohVhqAdtVZerjdyztydTjvOcmNLELcNNQS8tXhjWVNmjSspFebRUxEuSmlFZri1c5oP\neKspueFGizIGpcQ7nkvm4XKmd8it4UyQwtDYbUmW2Q2sIYgQDagtM9qAd47W2p65LN5s7xw1SQRl\n7U1mzI/xmyisFT/74ALBB4G5UMlF9sctRtYo4SE5Z3qrFIAuwrijOTIM/qn4OuOefs9jjtzitgu8\n5HuwWnz+Vmuslixoayyt3th2QZfsHwkvub245x//F3+H5//Zf0p4fvcZi+C3Ek8553HOPwW01No+\ncWB+5ab4vNv1ty6ab+rAvQ0c6N36+qx3hfhPcH0nVI1Kqb0Af9pr2J9U1K+fjtWuPn59eeMxk2FN\nSYhJNZGqYhpHWq2sacP7wMvrPTFuGOe4v93w1nIcRchTO1glNqY1bnJb6gVtFBrNaTyIuviRjtQU\n8zhinSWlChRurYlILAsP2irLFiMPUW7ZtMZ7hzuhZbWKHzwGyzA6LIYlrrTUhIlMxygLJuHtgEVj\nlCG3TNeNnivT6Y5l3bhkYVTf3y6UnqFDKY2ilCiqeyTnxpJkznvZU45KaWhbwTSMkrZ7b50lR7yx\nTylTzmlqE6SnbtI+rknRu+K6ygxYa0Wr0HXHebEHpdIYnEJ5hfOGUQ8kKptWPHMTRRdut5VbjqSS\nIGtuy21nbUvpVchN1zmHNxajpSWP6Ww54u3AOS3cyorVhiEEyZPWmusacV5CNRTyPYyDZ/CeWjpN\nS+RkygXnPKZ3cI9UNyGlobRYw6qMOwT6kZjCgLOOh/VGb3BOK35PdBq1QWmxib28PTB4hzOOTWUM\nlYf1whI3nh3vsEYK6hwCpXZwPHnke5fv8ePLvfy9xIizlsEFYkksOXI3zVy3hTVtPJtPVDpbTszh\nlV/ZGo1zI7fLlf/9P/+v+Et/+5ucfuRPv5aexBfOZI/HI865/QD2Kmnp8c88ojK/bNH8og7cd3NU\n9m79ya93hfhPaH0ZW8Ob1qdbVY/z4t47zjmUfnU7eKQPPfJ5cynSymoy7zTaEEsmx8gWN/Tuuxx9\n2G1AQqSySu++3k6qwhSOrYhoCwH6L9uKMYYYE+V2Q3VQQbHFlcN0ZHCBXAxJ7bfm1ki5oFSnls4l\n3TBGMw8ebQypFD4+39NojGFimma81mSkfdx39XZwnloz1731WFIm03l+OLGlyBqjAC+QVrrXhoft\nRu4Vg4XWKK1xNCdqrZyXiNOgmtCdSip471iXxK0mbAPjgmRBu4HUOyVnQDCPMW2kVimlcZpGejHU\nEuk0LstCrQ1jFeMw0rSitwZN4V0A1ZlMIJhAVw0MeBf4OF6pKYOWlr0xmm0ThfqSCtu64GwQWEgX\n5bGyavdyK5a8MEZLOJ6ovpNrpeTChsyu5zBBb1zWheA875+eU2k8m47Ekoh55TBP0DpbvHDbbuRa\n8NpJHGSWv4uYMkrt2M75xEVfyK1wf33AWs+WNrGzlUpvndKvlFZQKJ6NR2qvOOWexH6xCB1tGsb9\nzxcGLwlNW44cx92xUBK3uJFyZtmicKa1otXG0hZQ0qpPJdNap9ZOKonTMHF/ObNmgdXoBsE75jDL\nwarAH/7d3+HH/uZfI77/fLeaNXJOTNP0mb35SMmTpLRXe/D1ohmCx1q70/A+HwjyRXv/i27N361R\n2bv1J7u+rUL8G7/xG/zKr/wKv//7v8+v//qv81M/9VPfqff1tV5vYz/4sutx0z48PFBKRlTT4i+O\nKZEeW9LrDfYW3euv/4il3GJmTSulVGoTW4h1dg99N7hdpDPuiMxUMq13NiM3Haul8K4p0rtAFGqv\nmKbou9r1um10pXjvKFxsq2Veq4ySG23rtJJRxhCzzFGdtqx5ZYkC7wh+4Mf+zL9J1YqUCpf1iuoK\nrQwpRx62Ba80znp6UxgNaEVtBaqj98ZtXUkpkfaHe82dZjKtgdLi/c2qQi/UqtliEeW26qhq8IOl\nt4qxcoOdh5nDGPj4chGbGIbrKtnBJcmMswTH5B1Je7qGXqHZLnGCtZLSDTtpDvOEVoK5XOrGy/OF\n0QZ66xgFaUvEEsEEBlNZU0Yr0ErU5857Bh9wRvy3KM3kHKV0NIppOHCYTuRShX7WO8lIm73Vxm1d\nBLaB2PC2uKGM3K4f1gsHPxP8QNpn/2ld+fjygrvxGUYrgg/S0t2uWG05mMBluYmaXDl6X8X3bSxK\nVepaMVRohvNyY9QefRIhFbpRa5fIwl7FcmbN001vTYWYM6U1gvMSCvIUDiLxnbW2vc1euMWV0Q3U\n3tBaMzpPqVV810PnME5sMXKcJgY3CIWsN+YxYI3ler3yj/7Lv8Of+w9/huc/9qMImzqj9fa0D4U5\nv5FSZBxf0bF6lzCQV4wBdpLe8FZjKulyyS38baA/7wrw98f6tgrxT/zET/DLv/zL/OIv/uJ36v18\nX6y3iTz8KutRHPK48R83oNaK5XbF+8Cg9VPrrhaBIwxOWmBGa15cL7Sa92Qls6ML2x6N1xiHmWD1\nLuySm2PcNgZvGJyTU72RglebWJWu9camGoN2T17nLUU+vpx573Ak1UTOFauMgO6B0gtxXSlV2p5L\nWqlVWrjKOGwI6NaIqbGmjS6BUMScWJYba9lYKhRTCT1gR8+ybdA1hU5cE+NObmpk6ewb0NoxevH/\nri3SSifXTi4L17zRUyP3RmtXvB+F4OUVrcB5W/ZW/rrnLg8Y3VHaEeNCbZnbupBTRZuGthaMQvVG\n2hI9Ax2OU6flwjgMaF8J2mOcBFh8fH4BDXIv9K7wSqG0ZFIH61jijeADs55xzrKY2z5/j7RaaMAw\nOGy33OJCq4XRD9QOp2Em187gHKVIazu4EaUat7TitONcr8IW952Xl5fiwdaGaRwZ1mFv7TucE8Ro\nKQ03gDVKwjiuN0pvLNtCsZ5aCx0tgA2l2LZIq5U2FC7LjUuHZ/OJyXs2DYpAbvL5p/mAQrOuC1pJ\nIMgfv7yXQE0raNW7aRbkrFLUJrdTMYCB04beCmtSzIO4AR656tdt43xbqFNDdcXdPHPERQNPAAAg\nAElEQVQYDvv8XMRpv/ff/vf82F/7d/jgJ//8Trjb9jZzemLOy3w4PQF3Hvf28Xjc9/urffqmorlt\nGw8PD+Sc9gLuOZ0+S9F7t77/1rdViH/8x3/8O/U+vq/Wm+wHX/UEKydl8SZ++muUnUf9+tJaQ5UT\n9pJXYf3uARLOimp3GgKDHXhYb3uIvOYWN3rJYpKtjTAEnPagZC4MSKB7FV6z0Q5nNaU3TKsEP+Cd\n4WFvV68x7W3VIkWgVdKSSD0yuAFnHCknnDFc44bXnpISf3T/AqPAB0esSQp52TDWcPQz59uNtFTG\nuWGUpvSMMR2r4HSacHYQv3LLzIPjuq50GlvqxH1errt4evN+qFjZsM7Qs99n3opVQ2lifVm1Zg5H\nYpEIOxSsaUU7x/uHCY1lTZGXV6GbjeMAiKe6lUpOmfP1jH52x507kGPlGm80kDl06wTnGKun2I7X\nhm40Wu08rN4oNeN3CljOleAdNRfGacZqwT+WfOPkDqRSUTqhuubhduWcVg5+oKrKIczkUpjCwOgD\n8zjRSmXNUcIcFBzGGYWmt8ZxnpmH6clvXWvZ2euGZYuA0LW22xWF4ePrPak0QhCy2DwNvLzc44zj\nNB2x1kLLfHy+5zgfmYaB4zASvOPDs4xM1hSpvaCtkwMKZY87BL3vp8FbtpT27G5DzpXBdtx+e1aA\nUo015d161pm8Y/Ijx+NMy+0pEKW/luHdauP/+a3fZbst/Mhf+beo1XG73XbxpEQpTtNEzlKYH2/B\ntbanj73t2raNy+VMa+IQAFGWXy6S/PSuGH9/r/9fZsTPn0+fEDR8Hdeb2kynk3+yMrz+Od77p031\nwQfHt349gQRUYuwoVRmG4SnpKeXCNHnmeZDbkHv11zrZiVozeS0Y5xhCEGSh1gL8UOC846BGRufZ\nUkIXhVKa1jvDNHAcJUc2lYxxhtIbYQ8e2Gqiq45TEiDh/EBXSJGsCVTjchOlKkrRW8VqyzAGWqyS\nWBUGrBXf8tRlBpmqgnRDoZlawVhH7/DB8/f4+OFBbsY10XUhtYopmVIq8zzRc6NUeHaaWOKKRpTY\nlca6bpSWaTS6UmijcR30MDHbwEe9U1LmVguGRu1wf9kw1nGaZ1ovDOOEioFLOZOLtJ2P0yQh9rVh\nTGfwnpgKJWes2bnPxpBLIqZKjYlrklzfWhIpVzlk+MDJecweipEplFhxe0BD7R2DonTJL66tMwZL\nUp24rSQv+nKUIubGYRpQymBtJ1cBpzhvybGypkSuhVwLvTdO84FwGLjeriRd0d1Qe8NZzR+9/Bhj\n4INn77OmyDQOAnShMSi7HwqKJFO1jHGao5rYaiMYLYCX2hj3qMJpCBgUSypc4x/x4fkl7x9P8I0P\nmHxg9KJ4bpsEbIzO05SilbY/OxQheErPeOMlcELB6AN384FhCByHiZwLL64PNGAMntoaWkuLH6Mw\n2uAGGWXI1zUyw1YS6nKNK//4f/ht7u8/5C/89Z/mdDo9FdjL5YLWek9w2jidjk+WpeNxIAT3VgW0\n987DQ0WpgNafTG9rrXE4OO7uDt8zLegv89z6QV9v+7N6YyH+uZ/7OT766KPP/Pdf+IVf4Gd/9me/\n/DsDXr5cvtLnfa+st1VDb1v8nD+nuFwyH3xw5MMPL2/9ejlL6MP5fKbsSUnTNPPs2R2lVFLu6DWh\n1ozeKUQAtUlizaPdY9ztNb3tWcBa2pp2V9tGnTDKoJSAJ+YQqKVTVBFri9Z7zJ0wfN8fA/f3F7a4\nsaaIr1Vm1rVCb0xuZUuJ4AJxF1KhkrQalUWZxrKt6NoZ/YhxZr+1VOImbcNWC9PYua2RZbM7KRkO\nxuHGmWVbyVnm11ZZ9KjoXeZ0P/zsfW63GzEnWmrk2oWAlQo3FsJ4wFZpwZfacVqjvIPlBjvFSdmw\nt50j0wB5K1hndtpYBwQ2UWsVSFhVOCXK5VQTHU2uBasUxnqmwUm3QLuneEilO1o5qI3WG4PxLNuZ\ntSTilmhAzhvWe0zrbCURt5XjfMIYg6FLA6M2lO3QNNf1Sowr3nlQGms9QVvuL1ex8vQqKNO9g3Nd\nF05dMR+P1J3kdV1WYtlYthWlDf/y4w9xSnNbFmJKaKPpYdjBMB5dC26HyWhr6CrSmiRUZTTagG2W\nZY3UdiPnRGqFaehcbpaa/zWn40wIHmc83lh0r+TW9u6LkfFDLSjnSbVSdWL0gdEGZj8SrHRQpP0u\n0A+nHb0rLsuCUoZgxUUw+4DRltYbSWcZ63S4rTfWFCX7WSn+2f/yf7M+rPzZf//f5u7Z850HLWEs\n150fnpIcyp1z5Hyj1gun0+kT8+PPO7y31jifzyzL8gmgyOPH1rURo/rMxz69vhsBEF/mufWDvj79\ns/qiovzGQvxrv/Zr35E39f2yvowa+lupGh8FGW9DwHkUfuWcyDkzTdOTavpyueCc5XS6Y5oP1FI+\n87nWGkrZE5/QzOPAsreJewerHfNOMAo2SMHuMic0SlNrp/ZOXFa8swQ7YoxF0Sgt04sogq/3N1LN\ntO5FoFMqzgVuKWKVYosbS9y4bgtdcu35xuHEME7UUuhW0WnElrHO0mvnsl4ZXGA0gbhESi/klDDW\n4LXFeZnb3daNOjQmO3JZLszjzOkwk1PEO8cPv/cNXjy8IOXMZBvFanqDXBPLekE3S+959zg3QFqL\nxsgcMqZIVZrWkbZvq8zacpyPqNy5FIF/bHEDpQnOUmzFNI3aFF1Ja9tbzeQHRmd5kW9seWP0A712\nWs1EDJ1Cus8i+ukVahfrmHa4MOGcI6UItYiVp2u2nDEKSWHaIpMdyDmS9mI1ekXMhVYLZpzw1qCd\n3C6NMrQu9OiYC4sStfcURgyGh9sFpyzzMO9ktBvn0nDOkEvGKkOvlQZ0D8F5sSblRK8V1TWKSm+w\nlhvaWEww5FjoulOahDeYrhj34qYX+Tn30CldfM0xVZw1YjUyGo1nK4k1RqGwWcscAsGKTsEZS9gt\nRT/07D2stly2hVYa2mjWLWGcJ9WCabuobHcaOONo/UYuVQ5JvWON4frP/4jf/3u/zV/85t946mzJ\nPq70rj7T8XrdO/xFh3d5Bnwr8RbAmwvruwCIr/d6Z1/6Eutt1NCfR8n5PDpPCJ3z+fLGDdP3G1dK\n6elE/Drowzm///tIZBVofn+cAwv2r9YVZ8xeZPav2zprylgjKL7W5Pa2pJVcEq11llJ3MpBm2VY+\neHaSwHhtyHR0UZKwYyyn+chHDx/L7DUYzGO+bpOpm9KKW1wEj9kbOVd6rxzLhEHxw+//MA+XlwzW\nU0sTkpXWYGBNC96N2KopGoINKCOeaa0Mp2FinGeCtSzrQkwrscyUuqLZKD1T6FSEi22NZpoG8mZ4\nsVyevn+tFFYZtlLQRuN3alRXclvupRC3wlnDljPzPDBOnrAWVOlkLUUJbfFKo70I51JOOGfxxuHN\nADS8NeRaydcrpYs9axg70Ag2CEUMy5o2nNOsacVaTVWCCrUYwixUsYAi1sa2rqSS0Buk0tC6Y6zm\nliLOKIwVsd04BKBzbQmjC6pZUqm0LljJ823FOxlNLGWDJnxupTR34RlnFjpN0o0aXLYFbSRtaQ4j\n3ntu641bXAXDojVaK5wZUE1yscNh4Lbe6L3gtGccZzoQBieHIC1q6Lv5yBZvrERSgV6Fk+6cYzAe\nq4285p4AtZUo3uoqan9njDCzSxHSmXeilVAKSuKyir/6G6e7VwdlOs46Rr8foPdCmErm5R/8Ie2/\n/rv8pf/4bzFOE+M4EuOBEPxnmPOPepA3Hd6VUgzDQM6JUsonDuyPhf1NIq93ARBf7/VtFeLf/M3f\n5Jd+6Zd48eIFP//zP89P/uRP8qu/+qvfqff2PbfeRg39thtGa4HAv2nDyMzps8ovKfB69y92gjP0\nPjAeTozX4enhAVKQFYpUF1LOksnbKneHieMwS0yi0iyrKEmnMHKLC9flwpYjWlvojVqPe9RgQGW1\nF8lN0JhGM48zpUgIfUMoSyU3CYFQHdWUeDWVZQqWwQesEaHRulyx1mON4bLcsM0yzgNWW0pO1FIZ\n7IAylWVdya2w5sRoLF0rbrcr59ZBK+7sxBCceGtRXBZ5T0orcmt7ZKGhqoIxnWVb8C5grCQrbSkC\nlq1nAoq2H8BS3pj8KAhPW4ilMNkRrQxbW4mpsKwLxq5M48RsR6z1pD1n2DiDD4ZljcSYuOUoquIu\n3QMdO0oZ1psURG0NzlhSWtlKpd0qwxQYg6dTqE1zHEe2knGtUGxGF0PMFaWRgpQysRTmYUBph9ON\nwVmucUP1ilGWwzRyCIO0p7cFReOybZRS6YjIqdbKYQjcpyupFFptzIPHKkdTHdM1Ywhi4aoL13Xl\nvF2Yw0yP0jWZ/EihsKUECrZaqXTuhlFEXnGj1oK3luAHgWRQyK1DhcNhwlmHM4ptS+Acd+OM6nJo\nUCiWGDmEkdM4iY+9Zi7LlUuMYrjWiuAsrfcn/rdRr0RaT8rnvYg+OhBSyZRaGVzg/K8/5p//9v/I\nj/7MT1Nr43g8Yoz+VBF+FVf6Nof31+2Jr6umj8fjV06AehcA8fVZ31Yh/uY3v8k3v/nN79R7+Z5f\nr6uhPw/+/kW/8F91wzxu0mW5febryUaX159Hy5YKbRifHh6Py1tP75GUs7SFu9wqRh/QSu9w/Ebp\ndU8OqrvYSop2jBll4LzeiCVznAaWLaG1BL4/RS12kbLmGtHaMOuBJW3c4kawltEHUivkXDCDJRhP\nrY0QDLWLSrRR2WpiywlbNcdpZq2JUXnO24VgHT54jnbifrmy5URcV5wVkdhshQJ2vVzlJgGkVrmu\nV2mlGs1tS+SSKDWz7IpuYyy9iCr5OI5oY1hLJMeCMZopjEzjSDCCd9xSwajKuYulaQgjqiuc1txy\npNG5bDfuhhk9HDCIoralQulgg6OsZ0qXdKuUI+u67SCLBlZD6szTRG1KZuY9MuDJteGMpfZEbRan\nDXbQqAg2JJQ1xFVCGHKVQ5o2BuckgWlLhVZlnjwFj3WeRsMYy7LeMMbuLO5KbRmqwijJ4e6lk2NB\naYFkbKpQ2obRlrQk7qYTxmi8c6hVbqZdNXruWO2YpoFaG4MP+CRaAWME95lToVK4LgvBDUSTcbs1\naZqkpW5F94Wyeo+TtKxlFateqazbyvCBwzWxb5UqWNZl7xbU2plCYB5H5kH+nq02EiRCpNTHXOwi\nnQcth9iyK6WVUsxh4PovPuTF//p/8KM/8+9yd3dHjJ+nB5HW9dse3h87XV/GR/ztXg7ere+N9a41\n/SXWI+HqcjmTc3767845jsfTGwvxV90w4zgyzweu16ugEpu0rLx3eC8F/DA4Pn7YqH783K/R6Tjj\n8Ga/4alMLY3YozwIe0Wh8PsNblkXsfUUaeeqqllj5LquWKXoSiIQlRJPsTOW944nXjw8AIa4Rezk\nOE4zdwd4uFxBawyKZhS6a7qq5FJJraPZGNzIYZiETawUpcHD9cIhDGgF1zXSPPSWSINlva1c0gJo\njC6SAqU1oRde1oaLGyg5eJQoFClrDct2ITURla1rxDvhVKdUGAZH8IFcC+SOcZauMlYbAUM0ibRr\nVGqLpDVCh+vSQMvPeMITk9i/tpwY3YDzjlu64fYwiJL2WXgu5NrIJdNqJXiL0lYOdxruH16i9gjK\nVrtQ0NwAqtNVQDvDuiSU6jzEGyTJqk41E3zg2XQgl4hqmpwLzo9oqzjZgyAxrcU2TW6NRsYZR3CO\nwTou68LLSwKtaKoRc0I1xTh4Ui4MNpBaRWtDr41cG7ftxnE+8N7xTlrSwMvrBRvke0o5P81E7R4N\nGLfEtRas1wx2lNFETCitcMNI65reEqVoxukogRDbxh8tC8FbuXV3cRM47zBKXuvhdkUjgjtjNAc3\nsmybXIwRL/lgDN7sAsHesFpCOVrv1FZZYsJZzZoTRiFpWa2iauKP/+kfoKzh9B/9zW+pB/myVsZX\nSNu3W39SVsl367u73hXir7ReB7nLv7/xM77NDfPs2TNCCNzf39N7fkplevQOz6Oooqv/bBur904p\nYnd5DF3fUgQlLbjgvfCXm8TG5VIYwoA2ilw2lNJMoxCIYimk1tAKDoPM9aSIbPReCcOwq54t1kgL\n/HJbJbUJTVIZbQ0lRm6tYo3QlTpwPA7SQqbjbKCWyORnjFEsJdHUzjOukbxksJp43YilQZ8lj1dn\nnJu5xsjJaMZxIMZI0ZXZD3x8ObNsiUolFWlLOq1Zt41YC1rPJG3xYcA5y+V62x/mcrNWCrS2YiHK\nZadJVYkJrDA6iUx01lOL5OKuaeNHxvd5Np+Ia6SUIupmHMFpdC7iwVaa2hpeN9IWqTRi3MAaydnt\nnVwqWkdCGClZGNneOowyHIeJrW9sRdS+19uVNUYJqG8rFTjMBWrlNME8jpRWeVgXRu/IvTKGUb7X\nEhm8xyhFaVXUyrWjneU0jHx4PXONN0AoWKMbaKpSeoPSKaoyek9ulWkYZfZpFUoZ5jDQWqfkymE4\nMIaZLUkm9LLdiChsXkn7AS+XiFbQmoRVtN7R1rCebwz+SG3CurZaY42h7UzzWhtbXSTXuDVKbqRS\n6BSsVZhSeHZ4H4CH28IYAqXe0MowOM/oRrypQIPemcL0Gjq2UtvKv/hH/4TD4ciP/fW/+hk9yGPX\nzHtPKfnpY49izcdD9Lez3pTU9K4Qfz3Wu0L8JdZje3kchyeSzuPme9M85juxYZRSTNNI78MugHk1\nY34sxN15ujafCH/odHLNkoCrQCkNqgsAwRgO1sgstpY9PtHuKMRKKZlhCDjj2dqKMfrJg+ycxhZN\nTB2lFapb5mkgnys2ODqV621l3TaU6VhjOdiJy7JgR0fQjnmcuG0rvXeuMeFKpaMxClTvjMGjraJv\nsLSNa1xZt0RTnRRX1q1QySxZHp62VbacuG4r8+DJKZNTZYsJaxRKdY6zzHlbuZKR22CuBdU7W4xY\nLerm6XCCLi3ldYusccMoRaaw5UzOiwQ97EVCYCFS4J2OkvjjHMYa7i8L33j+HJyi5U7pjaYaqnZS\nq2JvMu4J/0nrdK3pRkFT6A5hmgRJagwlJboCunCklxKhye9YqZVb3yiqorZKKRG0Yx4GnNaiUkdm\nl/Mo/luN8KBzTegeuK2bHBiA3hXj6Bj1gDYGlCVox+AGYosE41l3kZRB83K5cjpMBDew3s7U2gQ9\n2i2TDxzCRGuN7Cynw0SpndF5Uqs8O8zcXy4oOiltbFkOhK0KIrRU8fh645jGgVI7xlZiSYzzEasV\nqYoOI9VC3e1Hbqd82VYorTG4IEVbddZ1Yc1JeNY70vM0HTgMozCw0RjtnvZ7qok1bmwpcxhn/s/f\n+V2Kgj//M3/1aU+vO15VazmAP35ujBsxpk+Mld4kqHqTLeldAMTXf70rxF9ivd5e/vSmeJt5zOsb\nprW2z0ffbsP03jmfH8i5fGqzBXmgvvY1qh+w22sz5c6e9RoEN1kK9I6x0pK1Wv5/3JXYvTuen55x\nXs4EFwhuINVIa53DeJCbbm0YZTG7GnrbEq1VLstG7427wyxzs5a45gVTDfNgGMeR1gsJ8ZlqQDU5\nHJRe2bYVra3k4XaNNnLzNFqUzqVkdIePbxeu60pt7ak1MfoAaJTqkr1bK0pllrQKcGJtKKWZh4Fb\njDxczngvM1+6eDZzzzzcCs9Pz/fuwd4utIpyy6S6s7KREIWqFN4a2j7jjkXgGEMIeB9ouTAYy7ol\n/tWLD8kx01RD90pJhdYKeYsCJcFQSRjvCWOACq0ZtNIY56X7kCPaGLpVlCjCpsl5Ko1SKjkJ1tQo\nRWuaoiq9w2QdpRUu28rgPA+3G94oapeAhZQ2upHgi4d05Y8vZ8Le4h58IOAx1lKo3I0Tg7EM08iy\nLVziFVUa780n8ZIbx/m2chw7VikOYUK5A5MWEVYIwn5uS+F8u5Ky+K+tNWh3QBmLVYbcImlLKAsG\nS+oJto73A84aDmHCe4fZQ01ucSOmhLOOOUgoxGA8Wks4h7cOZw2pFvldUYr7y1UiGUsmd7lxl1qo\nLeOMeRJheWsxRrGlyG2T3zvvnEBCauf3fucfoqzhz/yVv/wpHnwgBL8HT9QdUftKXf0msebb2pLe\nBUB8vdcPbCH+Kub3b6e9/Ph6j7zo4/FAjG//2uu6knP+xPzocRN77xiD2d9f/2whVsKVbq1LJKIW\na5FGlMTGSFKNIAAzSkmY+RgmchGbkeqKeZp33vGG1pbzemaLAgtRDlIv2LjRmqH3RlGdnAu1QkeY\nw8Y4DvMBo+QWPo8TVkvYfdwSW16JJTK6ka41eSsYbyilEJTFOsuS7kk5UTt471HIvPrj80u8Hbmb\nPuDuKOIprQ0dMMbRciS2vr+2dAqU2gtwqVhrsECslTVGLuuFEAZ0g4fzwhLTPvfstArWWSRrQlFo\n1NLoIDN1bbAorFa0XCi2s54jXSm88ZzTxu16QVmHUpbJiNZAO4NFxFalFOZZ4gTRRoIOTCcYzWxG\nio8Y41jjQkOhu7SRe6l0oxiMZyWieyeXTczbTjH5wG29UPyAJEh1+b6a5l+dP0b1Tq+V3DtaW47j\nTG6FEhupJrbhwDzNu6bA0i+gmqFWJKOYis7w4npmMJ7WCjFm9OGEaZV1Fb+1G7x4iFXnnBbaLRNL\nYkuJrI2EcrRMizAOhsFanA9YpbhtC70pck2gLS8vL4XehcKMCj0qBhtQuuOsYY0bdhdmPRvmfdZb\n2NbIbX2FK+10nLYkCpdt4YPTHbWLDc9qRykLqVSsVtRayKUQrCeXyj/5+79NLpW7H/83nvbp9Xrm\ncpER0sPDAx988EM79vTVM+VbddPkVh0/Idr6osL9rgB/fdcPZCH+qub3r9pe/rzX0/qLxV2vr977\nZ3CZj+8nxoi1FmcNgzessdA+NSd+FGGVWsi7KpSOMJV7pzcliuXa6Ls3V9HkwXd6RsyZVFfmPQTB\nKPEJXxahD53GA2aE27YS92KeaxNhlmqMU5AM4y7tX6Mc1/XCcZy5rlJ417yRS2YrmS1GujbcuYmt\nJUyU2aLSBt9hsiNOnzHjiKITS4UmxWQePYdpwmbDmlZq1fTeCFaTjWZyA8dxRGk4zrPYiNLC5D1G\nW4w1BKVIWRS9k/ecrwupRLTuTJN0IIw2bGkBFOPhDqUSrRXSWuhIOtDpcOT+ckWbjqmNpSR0h6Qr\nKRaGMMqNvzWMGZiN51o2kmpCZWsZbRRqdJiWIHhsMyhjaKJzpubElgutPx56KpgdDNIkDrNrRa8N\npUXFvKREThmjLFlFLj0zDRPrunFbVrnxq8pkHLU3ztcb4xAoqkHtnNeFj64vGYwjuMBSNmnV98w8\nTPidTtVbxwTNYB19U9RSqCaTlcJqw5YKyhoU0vrfilDYnLdsvWO6onX5e3LG4ox4hWPL5NY5OMt5\nWdniA1sSbvkwThhjeXG54IwIsrzNpCLZzG52TyQto+R2nHPGB09OiVIbrSVs009+4hxXSq1cLwsv\nLxfYY0CHvZsSS0Qr8en/s3/4P/Ona+WH/uKPE6O091sD7wVMklLc29HhtX382W7auq589NFHTy6L\n1/3EbxqDfTcIW+/Wd3b9wBXib9f8/mXnMd/q9bZte+v33LukEnnvyTl/anOJGEQpxWF0rLF8RrCl\nlHryEgs1qGG0FgEX7RP2jDVlSk3Umhj9gLGa5/PMi2vdv4ZmMgZlFFsWy8bgRKXafGPwlprrngk8\n8Gw8yk0eAMO6RYK3TGHCWkdXCtUMSgOqE4zBj0dM0ATt8dZzGAYJoOhgNLzcLgxhpO7KZ68Nik7u\njVokd7bUhtaWa1ypvaOVYQwBunh1D+MoeEjOmH6HHQWO0Uqnq7rTpmCJkVgixlmCGqilQVeS7GM9\nMWdyXEi50LrCTyM1S8TkskUKmbp1jNIiPtIWTZGoRaXpqsnfaTNsCkouaOcx1uFTp+0qa2sNbW08\nP97hjcNqucmuW2NbF3LLxCwwl+A0a6w4b7FaU8seXVUb3nkRTrVOKgVrNNstcd2iBGw4i+2NXBoV\n+Xle6oVSCsYZNJplW2i90y0YbbDKcAgGax239caCZPMWCt6e6L1zHEZQmpgLxmqWlKiqM2pHaYrB\nenLJrDnvIr8GWtTKU5u4rQvaWLzWpCQHj/sUiTnjrGEyI8445r3t23OidOn2HOeZUiZ6L/Qmwq1U\n5J9zKcSS6VlU6ygls2P2w8KeW4yC823Bar3P6SUG8xZXQGhcKAjJ8Yf/4H8ijB793jNJE1P9aa8+\nsqlD8K+Jtz7ZTRNyXnziDcgzIz89f75oDPaOsPX1XD9Qhfg7ZX5/23nMm16v97c7sT62xB83VErp\n6WPWuie/4mF0fHi/UofPpr48FuBl2ygygKUirOHaxR5z2W68vFzk++odlGZUnlgzahdo1VollUjr\np/eRaibmRG2N4AO1yi1BofDBE1tkchNOG2LeeP/0jGkY2GJkyxmlOq1MouYuEYNCN0u1TSAMHRqN\nu/HAMA5sWyRYz4vreT/9Q8oRGoyDxyhDV4XeO4MJdNNJNdJL25W0G6Md+VPH53zUNTd9oe/Wqq3K\nQ/a2bLRWyXtBN8aSUxEvspbbefAjHcUWE9oavBJoh/GB2sWDq4GipGXttZWfTy80laGLgMk6S0OT\ncqN1A7UKqMUadFegBGVZaSw5UWvhGjdKLXhrUNoymkCrV3LtgKW3RM5aoCXKSDs6xV2wp9DOklLi\n4fZAa40xTThjON6dqKlwWSOqSYtdW41VcniAxu3Fla1UgtVM0wFvHB/cPSOWyC2KlqD1yjiM5NIo\nTTy59M7dfILeeYgXeoWLUrRSOM1HRh9EMFWTUNk2CBVe2nu+MT1n2xaadaIlWCPDMBLzFbpnHke0\nsSIKQ4IXrHeYXZXvrOa6JWyvMruvDaVhcoFzW2itCPQmJVQIDN7tlj69W/oK8zjgq8NGK7/jWaJA\ng3N4q8Vm1qCR+b3f+gf82f/gp5m+8f5ToZ3nw76fXxXST3fTHp8ZWutPjMGUkt+VkdwAACAASURB\nVPcmz53PH4O9I2x9fdcPXCH+ql7ez/75NxfRL3q9Vx9/u9dzzu0K5lem/8cidLlcUAoGk0lpQ813\nctPcd3IqItBKRUD4zhmCldbYdV2wRlGbiIeUkhlqLJn78z0Xoxn9QOkNdzLQBQXZasH7wBZlvibA\nQ41RIsiZxsazw0FuxmHAaMO6bTybTwzjSK2VIQSJH8ThXeVya+iuhX/cCh1L6R0fxF7lQqDuvtVJ\nB6LzAhJB0VXjzs947/n4cs8Wk7QMcRzngbjbXqwzUDprWTEGmq6cl43gDaV24UmnhFYdFzzOGLQC\nlKWqJDjKVujLhrEWpy3KK2ovO81Kwup778RcSVsitypEJ++5bleM0jgNaWvoAM6N1JbJuWAV1FRR\ng8ZYS6+V4EQ5XHvb58RS9J213F8uWN3JHbSz0CrLupBTwnpQymKd5ng4EuLIfTxjiqIpRS5C/NJK\nZuOpVz56+QKrNH3HpzYK27qSU9yLmiGWjdoathuuaeOHj+9xXm+UUhi1Z2kbXllaynx4fiEe7Vxg\nh8e0VqGBMganNZdSuL9e0FoRtIfcwCnC6PZ5eeQlZ5wWYZY2Bmcd1mjGMHFbLng/4HUDDK1VlEjZ\nOR5OErNZ0l6kLalItjN7XOE4OLats+SV1iuuW6xxkuPcOrEkdtAlwXpUh/O2yu+JVbsAcEYpYWSr\nrqFU/ul/9zv8hb/1NxjvnuG9J4TAuq5sWxQtx+eINR+fGd9qDFZr/Uzc6ePnvSNsfX3XD1Qh/m6b\n37/o9R4//qb1eqtp27Yn/3KMaW9Za4ZB7FQ/9Hyi14+IQBkPuOXyVHxF0CQWolY7WWW89QTvJMs1\nF7oCrTQxZ1qTcPRady+kkz93GAc6ndZEpGS947wu9N4xxuCt5LyOwfPot661kUp6+vqqN3wY6K0x\nhYFr3BgHycS9xpWuoDcrKtPRsMXEYZp5Ps9469EdHi43IhGMga4YnEMbhdeGpSZyrQJhMJm8NAbn\nyXmjFgPG4wdDrorn04l1Wnl5vUh7vYmfWu0HDmkMKExraGMYvccoT9ILrRQebjdaB2VEEDZYMKOl\nl75zupXM8LWjG6glk0vGWIv2HqMV1kJPCkWT3F2r8c7TECW1dCIaxjjuphm1AygUoI2mtErJK9dt\npdSGtZqNwlQM0xxw1ooH2ChKaiQkurI3aHQMmtgLQQdylohI6YhK1rTWlVoKy7pivKe1Sq+d1OXP\n/sv0Id/o0hF5b5I0qG0RmEqJG70W9iRtai8Y9H4wcRg9SVehJtJSCM6TakIlRfAN7wq9dmKVBC2n\nFYdpJmgnv3/aELwwrJ0NrCntgSVqF8JJAll95K8bje5iySqlYp2016cx0FXbIysNQ3A7oa4/0bas\nldFKbQ1vDF1rrLV84/SM4Lz4g3skFRn35CXxB7/1u/zl/+Rv70lsQjvz3uPcZ9nUn35mPM6RH/e/\npDMJu/t8zp8o4u8IW1/v9QNXiL+b5vfPe71XZn5PSuULP//TraZpmlgWSS+6uzvtpK3XedWBZ8fA\nxw8rabrD3s7kIgX1MQji8X3lUnGm463nGoXdnEqRWWctwO4N3v93CCO5Fq7rKlSnJmPbwQVMV2jr\nGJ3Mvda80ZuhtrL/DDy1i0/WWS9UrpoJViLolNZc1pXDNNOArWaclZags567eWaeD6QiQrDztnB/\nO7PGTHAeraBUQyFz2RZqlfB43y10xXq7wjhglSaWRG4Zmz25J4INEjGYMmva0FYDisEEYiuk6xnv\nPcdhwitLBOiNaZqI/x97b9cjWZad5z37+5wTH1nVPU2OhhYBSSRgijYEyAZsgBcGDEiCbViwAV/y\nd/CadwR/j+ErGSZsWBIEmjYkS7QskkOT0pDqmequzIyIc/b39sU6mVX9Oc3pnh5IrA0UujozKyIq\nKs5Ze6/1vs97iyjTUDQR5BjFLUWM1rQu3uVuwChLHxW6ZqBQxlJyJswTQymhbGmDn4/7qRpKazLn\nNgqjOsZ6rJI29SHMoNUew5fooxJT5Zo3gvWyMUCIYt4G9M7YHmPgrMLvf2fsU3xjRw04Ho5cbg8y\nhmgWa81uxZp4uN4Ta8HUivaW0TtaKda4ESbPq/sHsbrZjFUazKDWzuvLI85almmRnOlccNZhukYH\nRSyRxTli0+AG1irU8FzLxohwi4UlLExaY61CYwHFVhLt8RWHcMAa6ZwMZNZsnBWB2IDrbWWeJlqr\ne9LUkPlzLeTaBJqSi/jj9yJsjec0HWi9sXhP7V28263KZ38IRKW2SnAyq08lPYeqiNDP897xTE2F\nP/wH/zvf+7X/BB8mzmdhR7dWRV8xfVbP8fY9Y5rE/rSu2yeykOGzwRHf5iHj3fpm11+qQgw/PfP7\nFykV336+p18heHLOxJi/8Hk/r9XUe9/nsp9WXarnx/3gbpZCfLxj/tGfvvmZz6F/DcZzlN1pmjmE\nwC16blHUq9aIoEugFoLF30qURKc+6EXwl1opnIYlTNReyMWgTBM6VuvkUmh94K1FKfmvNU5avmNw\ncke2lDktckJQ+YbX5ll9vBwOeLMn6KRI2oSZPXtPaiI4qr3I90vBW73/bAWtKKNhakZpz/W27fhH\nT2+D4DOP241r3tjSxgtzwhnHUA2rDGFeKCXzuG1sNUn8ohU7VerS5u9NPc+BD/PENT7ZTgzWBiZn\nya0RrxvGWlJNtNEISDhHUyKyUrXitcdNnliqZDF39ohIcPPEmjO1P1J64bZJbnPHgKo75SzjDydc\ntWiruaxX7g4Lxg4hYI0DoKnlhsahtUIbh8AoB8s8o5/asGFmTRulJI5uFlZ5HdRcGaqhMNA7MRZa\n7ugDPDze43zgME/UKsVkyAcab4Uclmraw0YsNVcOi+FWNk5hYfGe+3FjpI6ykLeCtQ1tZIM4HFil\nsZMotjuNyThenu7ogHEdaz1KDbQx1Dx43K7MfsY5AY4E5+ljsEyBW4rMk2NxM7e4iQhtNF7frpyW\nSbKcq2Rd1y7K83nyeCfEr94VH10ueGPwTlTUuebduy8s78c//yGnP/hj/srf/lvPQRBf1jL+9D3q\nKfTl7SL8eY/xjrD17+76S1eI4Zs3v/84peI0TTzFGc6z7F4/eZL9fCzl2y8rxkiMkdtN/MHOuU/8\n/FP76Tt3wpquxxdyZH3+vnqOQnwuygNhBnuP1oqUC2qC27bJSRrHYT5yXg7UWik1k1OhmSFzPkT1\newgLDGk7yilOM9pAGcOiLVopoItFJkcYcAiB3gfLNOGdZUsbOUsxfd/e7erSTOsDPZS0toe88hD2\nkIJqsKXQkLjG++uN0RsGj1LgnQBM6IPHy4YxkdaKtEJzZcuRQ5cW+RgKayxrinjfCc7TSmNtV7yb\nGRoW55/eNrYkil1rLc4pDDLbHk3a0cY6nDG00cValCtlVECjlbTTRx/knulloL3GDs2wgNJ4Z9AE\nUJplcsKzvl1FKDfAusCaVtAI2hHLyUuxzLcVPwVGlw1DG5BL42Acc5hQDFqTQqJwaCUF+Og9h8NL\njNLccqTljlGQ0XQt3O3SM7XUvZsw7+EPlaEGl3VjzGCMZ82Zh+1CYzBa5eF24bgsDKWZnKHkzHE+\nMC8TWlucMhyXhVwzeRReHKQ70BnYMbitNwaaeWh+1O55MR85hBlnA9O8MLTi/vVHxJrwfsIozXde\nvM97pwNKaSbv6R3BYdZG2jeguST53LVKSQ2tB8F5UkmYCBd35b3TCwHfGIszT379jrcTpRbKrvS+\nrhvWKYILKPRelOWa+PCf/wHTyxec/9Z/9Hy/+bKW8dv3qCfXxOettx/jHWHr3931l7IQwzdnfv8q\nSsUnH7AoId/0j75sV/x2q0me4w3MYwyotezfl3ZY73Ix3p0c8xxAO9pyxj3NiJV4iSGTSsEYRRsN\nu7eA5Xs3WurM04LWsEwnXi4HAO7rld6kTd26tJmtNuRSBOOnRDjmncN7R86VWBJr77Q20MrShzCL\nn2anwfn9Bn6DIWEUes8Gjk/K7JL46OE1IUhreSjDFAK3dQWlhA5WGhbL8biwbYnFTwLYaDcMDhfg\n43oBZUVZWzu9FzSd14+PDBqKwTIfALHupFSwVrG4hdk7apd0qtGhlErOjVZk9l5Gl/AELZ+p2hrO\nOKzaT+qpyChAa3qpkrBkQWPY1hvGWmidwsB3mUXWImfU1hOlCKLxukZyjljvsK0RJodF2u+trfJ5\nU6IF6A0OkyFWEaCpAbctiuivd5z3Yu+6XWgDzvNCLJ2X1gpTfI8+NMbhzKC6gIobpQp9bABbjQTj\nAIVWjqYkp7n3K2PTaD1kHqshlojaNHfHA5ObdoRqJ7bG7KRdH2sk18JQBq3BaoszMocGQaseXKD0\nxlo21hw4KfGLX64XXl0fcEaDUmgjkI/a73j/dMRb6fQYbWiqMbsgs14r8/zSJKe6jSb0OqOp3XPZ\nIs5e0BhKKWiliDmz5sRhCjuXuzJ3CYlQTWOUbKLHfh3XVund8af/6Hd5/3vf5fjBd56v7y+7Bz3d\no55EmZ+3Pv0Y39Qh450X+dtdf2kL8TexvqpS8ennxAMsF8/p5Pef/fxd8VOrKeeneDX1VtSa4na7\nySzUBWrNWCsF8Hy+47vfuePPX93IhzOH9RHYsZbI3NAaIwKePbBijMFgcAgLwXqcc7RywuywidY7\n1lnOVjHUvL8Gu4uFDKPDcZ5Zpkmwkh3cbPBO2sn31wtGgdF+94hqcmnckswTnXUMRCR1nBau24bX\nFmUUzsy8OJ3xbuK2XVF06J3jvPDx5YE1bQIzmTzz8Lzq9+RcaHqfkTqHsZpTF5V2rZ2tJHKMXGLh\nFm84a/f5phWhloGGqJKdc1gfsEqKc20Fg8IbTdGdTkMBrTZuLVFawSqNNoPSB9YYtrSRmvhANXAw\ngWAnHm5X6gDnHb1WRlfkUTGbgEL66KhhqKUSU6T0ynLYBT69Y4d4V1OJ0jLfW64pJRhdhFtaE7xF\nO1Fgq6FIJcFOVVNac3SB03Km9MoPXz+gAR+Eez30oCqFtxqrLcdpJnfJkF6bJBl5b7F6CK5UiXq7\n5IxSGuf9Ljarkma0RoKb+ODFSSAYo+0eYhkrtAZBG5SRou6sp/XCMJ3WIfXCFDyLW8itcosbs5q5\nrDe0ktn6Lcbd8w69vebuELjFwcPtSutd0pi0Z40XhhKfdUqJW95QStFq4+fOLzjevcRZz6vHR05B\noCL3tyu5JlLJ3OLKcVqwWmbPet9ktrFrP4ZCoyX/e3R6bfyz//Ef8Df/27+DDoHj8fiV7Yt/kbbz\n1y2e77zI3/56V4i/xvqqSkUpwvkTeMqnGbFz7gsvGskhXp/ZtaUUjscz0+R5fLySc+TuzvP++995\nnj3FGFlsJW43mvG4mkX0ZBypJvzwz5AAgC1HthTFK1kr0Cmt4ff84NrarqKW5J/ZO2rdrVMgPF5t\nmCeB2I8h886aB9dtBSX5xtZ57pajqKh3n/KtrBz8jNWGi/Wk8potRnLL8nXrcMYKgrJlcpENR6mN\nNW1c0pU1RVQEay29D3IbrOmG0QbjnKQ7FY234rXuWlrdYyisNRzmeT+JawwGtGIrBQRkibOa1iu9\nN5wyWC8eVe8s0+T5+OMLW4s0GgaNVhofJnKvMhMdgkYce1E9HQ6UmknpIpjHIAVjjEHNCW0WIg1v\nBKVZh6h2RaUuoqrJB2LOxJaksPbK0U9i9XJyEvfKUEbjMC9M04zqsLYs6uEuSuKYM9pbSu9ctitD\nQewSriBCLUVtBZSid8UyLdReWAZsJaGjJTeJD0ylcfCSnFVjpGnFZDReWzoNN50pVUhhk3coLTPp\nXhubypz8kdg2Hh83ltmjzT6pHoM1DVoW1Km3BqcMynRUNzgnG5ahAMRW15rCaEOphet65XA4cbfI\n50n3zuO60upKbcIE77VyyxujN6ZpZhiHMpbLtrFMg1o6j2zovauQmmyIa5fELB8CKkcRjXUZRRgt\n9gbTBKtpzKA3Rbre+P7v/CN+9e//XYzRxBi/UuiD9/4twt5Pr0C+8yL/bNa7Qvw11ldRKj5dPLKj\nfUPFUkoRY+RwOHxhIY4xYq3hdDqzrtdnscbThem9261L0/PjxZj44MWC1vfUw90eQiDq6Nb6J4pw\nrhmjLFXJzKz3J5uGtLFfPd6z5UzYrUtKwUkfmEKlFSnE1liWKRCsow4p0Ne4MbpQvGoreOfQenC/\nreKTHVBroqNRiMp4spbDNPN43fA2SAZuHww7ZJ5XG846cqvSliybnL5RGK2ILfL4uGK1Ai1t9xYr\nSYlXNVjNZY242TKcwbWAbmK7mlyg1MqtR2idwzJjlUVriKUykvhOfXAYMyhJACd5yxyXibFVYlV4\nJ0raNW0obSlUWu+0Iiek+RDAgO6KtVYsGjVEUa2NRltHb42tJEE8GiOBCLs1agzIvTOiRBvmLVEo\nzNPE3fmOxc1ct1Xe1ZqZtWaeJoKxu2Cu0Zth0MklkXolVEvtg9ttRZm9i9EauSSGsdRcgM57dy/p\nY7BlSykbo3V8cLTYhYU9GtoYJjfROzgtnzltFQyDVoZBYTkcmCdPypHrlgnOYoFDUCx6xt0F1ryi\n2kA3RWOwxQJGQh40htbB4kljpRSD1YNUxC7VRqe3QmudW6xMZsKoQesS/Rlz5OOHB4yz1L1LFFNE\nKXYVfsAaR/BOeOa9c91WnDEwoNGYXAA68XLluq202xWrhSx2OkwsYWaZZoJ1tN6YvGA1lVMikHx9\n4eP/+1/yC//Z3/6xHt9Pn06f/Mg/jZbxV+nwvVs/nfWuEH+N9VVaRr13lPosFUssTO4LP9xvXxQC\nArg9P4f4EcWu9Pbc+Sl27Thbgu28vkWsm7GXjzl9SnE5xiAXsRdZbRkDjHPCJmaw5Ru3bdt9v3Be\nFmKuXLYbyzQzWQVqCP8XmZ/mUvno4ZHWK1objvPE5GdeX69c18jsB3qaUGiUMuQUGfvpep48p+Us\nYqMqKMbLbUWpAVoT2yB4R0mJh9uN2XuCtUh8haJug1tKBGfoFbRWNKQV273nNB+5O2tuqdCpoCuT\n8igvrckxoO7/jrVVDiHg5gmFYcur3MhrgtjAyPzWGEtuwks2Aiuj9YGioQe03S7jvcNayzIvknKk\n9G4pG6jWxHpTB2YnQ402qKPitMRV9qZQozL6IPaGcuLRDpPDd8cyL5ynI0oZ7g7i5X51/zFDdWoR\n9Tejo7om1pUpTLunexBzhtapwVNypBMYo2GUJeeEVSIUyzXjg2ekQqsdtZ/Y5z1Z6OCPDDXQznDQ\nHmM1wU/U3rmsF4buWDdxDjNWOzIdrRNTEGRjroU+wCjNuhUOk8F4S9zyrlcI5FqYg2f0zsP2wGk6\nUFUlKM8H5/f40eNr9IDaO9e0wlDUUPnBDz/k/ZcvUENThni7cknEnGl0LrdHvPG4vXB652EoUilM\ngLMiPmy9cdluZCvwllQzwXus0RgNk7UoJf5mZ+STGZxD7YAXrfWzUPIH/+z/4fQLf4Xj937+CwVb\nnxf68JRr/NM4nX6VDt+79dNZ7wrx11w/Tqn4SYP+GyHF+Xwmxi8Wa7x9UczzxPW6M4J3O4NzlhCm\nvdBLwe+9A7J7/fmXEw+XjfLy5/G3e+FK98rk9tdbE1tOKCUCFWcMzsj3Wm+UKormAUx+QqOwk2XN\nCWcMh2mWeD6jdwVx3k/qjhhFQHbbEodZEayl98BhXqi9M2omtSr+1lbYUuJ+feS8HGi1Y4ym1sJt\nu1FKwnhDL42HG6QshDCnNKfpRG6ZNa+7J1tERrUNGANjFcE5nNUy7y4wO8PBnvi4PqAPlgMQUyHm\nlfsc6b2LOth1bB9o3YVPXIUD7azZQRSQYqbrIb7bkYk10QCHxlmD0orRBt1ojNbEKMVhMg530uRS\nSVHgKcEGah9ibQIUmqA1WlvKnjSlQVKRdBF+NBMfvPeSu+WAMZJElGunlkwDDrv1at1upFapNDqd\ndVvpamCtJe2RfltOlJ0RfjcfUM7Q2ioc5tF2RvNAKUvpNwxaZsBOSGLGGG5rxGmNPh1QtH1W2mld\ncVgmvHbSJleaWBO6W14uBx7WDdUVqMZWCko1rJ2xGEbonOcjKUc+Xm9opTjNC9poDtNM6YNcGsts\nGKPxsF3RGLzTHPwCSvN4k82jfDYTuYm33imH6oNSB4rOEgwHf2DygT4a27bh9JGBJrXEGA1rDLd8\nQ2s5/U/eM/qQ2EvnYXQm55h9kE2sEmqd9I/erN46f/Q7/4i/+d//PTiePnP9vx368OaeEr5U4Pl1\n1zsv8s9uvSvE38D6MqXip0/Nb3//yy6mty8KpRTn8+mt0/R4fkzv/bOI63q94pwn58R/8J0Df/hv\n7snn95i1zHFrF5tP7XVXMkvovTWWWjtZZ7wRa5BSat+9K7HAdPHJ9iGF8jAtQt7qjft6pbaGVppg\nLVlX+ugSYbd27g4LHZnzrklyi28x4a3ZFd3AgIfrVQRS1rHmhNGa63Yjr6JW3nPq0PtpZAxF64Vr\n3IhtozdRJsceqaVQNgjOMzknAq5WCVOg5oKxhslY7q83gjfkojgsMi8+TkcJPGiV++tKsBbvHSjD\nbX1kKxvWOFLNpJTIoz8hsTEoMh1VErOfcMaSU6ZPioEoxXsv6P1UbIyCqriVlcbAAgHDSiOljWAn\n9BjEkdEovAooDN4b5uBx+yz8mjZev74neLFdTZOjlkIrnS0lthSlbVs6WylMc0DRdhV8J+fIJSdA\n6GeuFvqO/ETB2P3AuncOfmKrhb0pgrZQS2fyhmmacM7iXSCmzBoT2kLJDTMJrSrXguqdois/enjA\nOQ3K0FuH0ZiDJGFppUmp8FgijLFDNTLenhgM2hjM1rGlREyZZZqprXOcFkotMtKwntITry73e1dI\noYaMaI7HhWEMvUGphcl6Xtyd6W3w6vGe1rJQvobmNB24rBdSyZTaMRq0GaRSOE4L3jlJALMGu+s+\n3h5DOSN86qev5Zq5vlr5f/+Xf8iv/jd/5xOb988PfXjTBfsy29PXWe+8yD+79a4Qf0Pry2Y2b5+a\nYewnWsc0fbl14ZOEnTePIfNhUTenlJ5DyI/HE0rB7XZFa8X758CHH2/0l99FXT/GWwE4pFQkf9Y8\n8XMDit0PqS3BeLIS2lAuTU5oSu20JrDKCjaQRsxysq5FZsHOWubgiTmyxUozjQ/vEylLG/K2bQQn\nkAujDGUUcm6UUVj8jEJ8zGu8EXdx1miKoaB08TKPZrne7lFGXtOaEiVXBp21dGoZlNqJpeOMordG\nMV2KH0hWsDJsOXNLGzGJfaX1gTISm1hqZYsiZJts4HBcsHpgrKeNwS1HLAqMRaUN6yyqKAFMoAHp\nUNydj9xfGq0pnJeA+tIGpWV6aWirpVWOojNEVNYai9KM3rnUTdTpiN1JWS3iri5pVNcUSaUSs8A9\nlFEsLqCU5vG6UlOmUllT5KFsWCToYFtFSKeekqtyxyHBEjJf79RWmH1gmQ6S4lQGW7pI5nE35FHF\nL5sG3lhenu8ARd42DssLnLGoMbjETZKeWuLDVx8yjMVZzxIs1iK0KypjdHKrvD+fyb1yv1543Das\nFo/3i7sjGkevUoSWIEEh1slM21vD+y9ekPZ0pjwqqso7t8WVXAS0cT6eOIcjTTX0GLw8Hhldsxwn\n1hjRCDJVTQFnHfeXC6VklmXZBVqVLW+MOpic38NOPN54oWrxpgUtNDMrYkiVd3V4orROsJbtz37E\nR//qj/jgP/wlQDbnb0IfxnPH621oz0/zdPrOi/yzWe8K8be0nqAeMUa0Vj+WrPX0Z+BNATfG8vLl\n4VmcBfDw8PAMCVFKsW2Rjz56xcPDA2dv+Nc5kl9+ANePAfDWswS5uBc/UVqh7CrZOiSRxjtHaJ5a\nO5BoTea4rTXmZcY7x3W7EWx4LtytVmkrW0ER5psESNy2jbGTge7TI7EmYkoobbhbFsbQGD0IdpIW\nd830NthSwgVBIaaWn2EZsiGQFitdjtKtyUyza7khA5IrrBVGa0obmN5R1lBqlfAAo2mxMhlLHZ2c\n5AReSiP2yFaKeLX7oPtOrbJZsM6heuU0H0QF3Cq9gRoNHzx6KFKW5CmMIcbIeTngtaGqIbm9JYsz\n1muOfmZVsKYVg2K0KjdaoyXFaP8sSMtboUGygemkVtDN8XC9p7bCz734DjRRWpea2eKN63UjjSRF\nHCjApaTnTdVRWyYTqKUw+RlGp8QijOn9vdnKhreGkTt1dJpSGDpbFjW5UoqiE111ggui0H/1I6bg\nSKmhtRYVu3HUURi1ksbg5XIiGE+sjRRFEDfbWXjoiPVMp5U6BBNqlEUNsXhNOmDVzq82mlqVcNHV\nwCiF947BILdMzhVvHMFojNe01thqZAoz3gjty02exU9kXTnNE4/bRsyJy3oh5sitdfEae4u1CmMM\na5Io0y0nthhxi6jwrTGS3DREwCcefbn2eu+UKu9JbZ1I5I//4e9y+u4H9PN5d1G8IfE9bbKfNt+9\nd0KYfqqn028aePRu/fj1rhB/SyvGSK0F5+Qt/3Fkraf16QJeSnkOengCY7ythFZK4Zwnpcx3Xiz4\nP7vw2DSHoThZ+zy30ruAxBqL1RYUTM6zhBkULGHmEi98fKkSX1gLysop7KPLA6lWPjhrJhc4zhO1\nV3Ip1FzEkzyLOCyXzB5fxOV2o+QCHmraWKwntn2T0SThafK7DarLjU9ZTcuDJThyraidBvbe8Y7S\nO0sIfHx5zT03aiwclgOtNNkoGAMY1rwRrGM6TuiuOISJQsPGSLOWkbO0TFPGBQda7dF/lpSitC3d\nvItmdt/z6BglbGMCWO8EwcigNnB22q1b0GtjBEfrBfqg9I41YJXBGI33QTY52tBKo1NpNfMUdql4\nc6EODUMN1FC02ln7FZrk1daa0cZRe+P+8Z5rjKQRxWamwA7ICAJmnwbQa0MZg3UT1sJkFqJJe5Rk\nR+/dj5wa2iusstTSeFyvz6ANZxylVUIX05efPL12Hq83wHCcDpSxz/zrziQtYwAAIABJREFUIDiD\novO4blSnmEOQJCbj8EpzKZLupLXmOB1Zc8SpgeqGphu9dppuXNaVyXu2FMm9QpcNnNIKoyxjDAyK\n945nlFYsQdK5WhGBmhmD0hqtdUrZZPSj4bat9NFx1jDYQzVGI5XENDkO85kxD/wqARitNV5fLmjj\n+GsvXqLQn5kJA3tOdsMYyXXOLbPlypoz//R/+p/5j/+7/4rj8ci2SQTnsiykFIX8lTOlVF6+fO+n\nejp9G+Tx9n3l3frprneF+FtYXyei7NMFHN7Mi56ySd9+nsvlYRdyiaL6e+8d+P6fP/I43/FeF2CB\ns5Y1bpJLvC+rNcs0f+LiO00n1JAbhk1PHmhpoY4mc0etxOr04nDkum3cSkQNRdAQq9hsamnEkmQG\naBS6KQ7TgbAEdFZcryuXdmN0qKKz2n2hg1wSRz+TU4PWwAwanTrE62uN4efO72ON56MhgRMoEY31\nBn4nb+VeKWlg9SDWDL1Tu/hYS2/7CADU0KxZCEpiu5EAeK3302ktOBdYggM0axTQhtEDpQzbdcPZ\nQK0VPQbKeNYRib3RW0WjMUNRWmV0jTZZPMZKM/mJ4hqud2qqGBqlZwwK5wL0Qe2NLRc6A3ITdbhS\n3ErEPFxYZi9iqJQoLT4X3TrqJ0rD0+/lhArWdLr1UtCGoqohqu6aKfsc32AZrQv0BDmNCrxUkqlS\nEjuSHlBqxRpL8E5Otl1RS6G2xLQcGENa7W1UKhYzAGWJNZFyFuKb9+TSuJtnzssJpRXfffEBl3jj\n/vKI0tKaf1gvjCFEsqwaoVuqKgw6w4jY0DnP5D2zDzDPgk/dNRIDKK08W/iu8Sqt8OMLGF1a7ErJ\ne2kEPGOU4TQvBOekNe0cyihykZCKN9eq6CW88c8BLAC5ZbET7rPx9dVr/ugf/x+c/t5/+QnlcgiT\n5Cf3jrX2OQL1p3FSfQfy+Nmtd4X4W1g/aUTZVyngb8+Re39CM2rO5zMhBH7JT/zbx05Wiv7D72OU\neesJvvj1PqU1OWtZU9qzcPdooC6pQKUK7MMZ4V6LX1haf20I/L61xlCSxVu7FAPxVgbO85GPywPo\nIQzsPui1knqVtBxrpVVa5aRpjaHSOM8HsUy1the0zuQtaIUB6lDMYaKNzmw8dTSCtWhdUVrwm9dt\no+SIsY7FGIJ1rCWL15vBcVow1jD6wvV6Y00StjEHxyEErLWgDUcjp/fUIq11uoKa5WbmQmAwSKnS\nxoZVDoVlmh2miRp22u0t1yEBGosPbCnhF4eqBltFLFdr3VuzELdIoeIwGCz0jgIe0iM5OWww8m+A\nCL+UgjTk/z+9EoOJTm6dvFbOyxFnDalXRu2kvNFl+0BukT4aMLAm4Ecn9sKonWA9pSYe7uX9c9rh\n7QTKMUZBDbH/xNaweaOkRvIWHwKPW+Ll+cBxOmK0JdeN2hWmyXy1tYy3jjHUHrUZOM4LsRRySWKn\nUnCJRWbpznOYAnOYGXSO81GwrtqgjYA+tNO8WE7kVtjihlYOGKxbJZVGb/Dq8RWLP1BawSsrnn07\niUINsa8ppQlespFra9T25kSZ901MS53gEr0PZj9htdk3sQKNeRJBPvzB9/nwl/867/3V71FK/VRR\nnOi98fDw8Ckl9TdTKN+BPH62610h/hbWT2oL+CoF/O05cu9dLBb2zQV6nAPvnyc+bI08n/HbI7kI\nuMDbsbtwZXdddvjHmiKlNRiDNpq0/kpDKyXcYiWUrWvdWOok5CTtUSi0hjEU1zVzWVdiSgz19Hc0\nBGOJPaKNhjGYnGF5/wPuL4/c3x6fvdDBTTiliHv7fFRwk+PWNglHQBHTA5d6ZQo75P984rq63fcL\nWlu8ffOa+zAs1rDGJN7hrmiqscwBqyfa45WjX8gt7f5qhdKB+VDIuVJKxQTxs163dZ/Na6bJo7bK\nWhNdNSoDpwXf2JqQxjQO6+R03qreYwGLqNAVnKcDvQ2M1qAhx0hXhuCFeJZHZdHCY5a4DXBabv5y\nWoUEbBRsKmgMAYMxltLK5xZhDUxovHMMBSkXcpQ27xQWvLXQArElKo08YEbGGEreVECCGUYfWOeY\nvMdqj1sCVhnWyyMf5wzGoM1O/KoF57w8Z0p460DZneBVsQRCcPg94vKH95UfPTyyTJaPHizvnY5s\nSfOwvaa3wZoS2hi0EvWA1uLR9tZg7cxlXfHGcZgmxoAYE2rAVd0wztFag6G55STjGqW5pRstauYX\nM++dJIREK4PWhpQz3hmsMfv8W+8jIRFDPqWaldokTKIK3jQmSd1a/Cz2qF2l3scgOIvTlj/53/4J\n5//hv2Zall2Y9YbOl3P5RIbxN1Uov07H7t36Zta7QvwtrJ/UFvBUwD8PwP52AX8SV8iJWFqdb6/v\nvb/wgx89cr+cOd5/yJYSYReRvB2PmGsmFXlsqwy5Z2pu9K5wViAcW0xoLWHqqRduayTmxBJmnPUY\nJbxf6DyuEi/IGDjrcd5BGyzTwvfe/86u4tY8rkIoqrWKv7gKTCGWymmeebEciGSMs4Rh92JtAIWx\nCqs0L45H5jLT6itcOEuhMBa6xAle40bXImRaS6aMQVNDcmmLYzjx/hpjUF2humA6tyIJR94Egm3M\n80yOEY3lcn1EKY/Vio5hchqjJ4qpoKRNaY0m0/B0nJ2xO9QhtUIvDTsZ1lJwWrMcD/RccNqgw0Le\nW5nWGEaDrcm896nd3Poe+THqJ+a+VjlBlAbP421DXh2fKcYHPQmsYoC1muO0sG4bqstMsmlFbnsb\nHIVhkJE5vcOgRme2AaMEA2qtkw1U8PRc0cGznA6MFeru844tcnJHjoeZ0eVzZLzD6SF+8JKpqkvB\nbpmXhzu+e6d5Ha94O6H37Oq8iwNT2RGcuaKdRBEOZLQRc2U2Dmh0Zbi/XuitYLTCWBGo9fGkmJev\nx9LEb5wNdRRKyyhlMEhX5zgfOC8LW8nSCSmV1i1zcLudr0urOUW2lCWZioG3juA8W0zPhX/x07NO\nQzoBmX7rfPh//gv+6q/9p8/X+1OhfFuk+XR/+CYK5U/asfuyx3sn9PqLrXeF+Ftan80Y7TK3+pLd\n7NNF+PBwkZ323o4KwX/m4lNK2nYvXrzgcnmklH0XHiNeJSaveDQnAuJNFEV0flZ0CmlLZo5GCRWo\nVsEW6t4Fj9jlppxywRnDMsmN/JYiJRehWO2t6VQyVsP5cH4u3n0PkJiVZcuF2jq5RnptBO/oLXPp\nIopxWuZyuVXuLze01ZR4ZZkP8tp6YZ5mpuAIOM6nMyFneZ1jUKukP2nveLzJ6dVpzxYzvVWZu1qH\n04EpOJzxaINwmLMlUYk1CWNaW1CNKczU2mgDnIe8VhQN62diS8KZNqCNJu1I0Jzrc4G8rFcsBqPl\nuVttlCKpQt1ASRIxaI3FW/GL1yYz20FHA8FNrEVOxZmCweDszKgRw2DSjnleqKUBcko0TBwnRyxV\n8oN7koLeG8pKAfFa01rHOsM0vSC3wmW9kJHTtmYQkFOrVhrVB9O0UJUUFdOFItVH53J9xBuLdQ6n\nNc54kirYAcFPlDHYUsQozfF0pg7D6+uVF8uBNjSqQ0yVWAujKUovPMYVo8XvO5BZ/uw9qVRqLwKN\nqYNqK61ltrjz0Xvlut54cTxTmmzKluVIKQlrLLPXbHHDWHmv6DJTHoddn9EHl9sDk5t4cfdCiGvO\nwnrhsibhZitNbo2aIlvOPNpVdB1GNprGSCSiMcIef/X4SLAi9JqnibDHa+ZamXzg8ft/Sv6VX0Kf\nT+gd9Sr3is9S+L4JT/E3CfJ4N2f+yda7Qvwtrk+TtXK+funPxxgxRjNN4Rn2nlLEWsvp9Pkf7reh\nADFuWOs4HA786l8P/Is//pjbi59n+tH/h1KGXKrMzZSWVKb9dAR8QvXprMUqy5o2WpFWm3cOY6C2\nxhoj1hge4yph7a1x2260PrAYehfYx+JmwuKZg4cxuGw34rZxjZs8pp/xKbJFCbE31oIetFHIsaO1\nJYTGuhUu8cZpmQlukrlyyly2Fa0sy+zJpUgebBb7h+mahohxYk60LgznUhrOGrRq9FKxOO5OZ65x\npVwTPgRqaYR5RilLLomuCqrumdK5EPUOSDGaPkAPxWQ8l5QFPAE0OadR6PQOIWcUBjvEruKbcJJz\nSwQVYAgsRXVp/RYGswmClizqrcdtqJrZoyPkPbLm2cNrMGhnOC1HxnYl10rogVbl3yRv0tbtVkPX\ndN05TO6ZOw7szwOTEWQnQxCX1ijasCzeEY4nsS21QqmglWP0zuv7K011abt7i3ee0toO+tCY9Sa5\nzQwuUbzZXQ0mAsEaXl8eKKOhgVgzulfQnVGQ5CQ6pWbqaPTRcM0T1cYUFoKdBWM5BHnZeuOD8/sE\no4lDWsteG87LUchj+wl5DDAYTocF70QPcD6emJ3jGjdCs4jOUTZKtQ9KShwPByZnZb5bMrEU3jse\ncUYK7Zo2jDIcp5klzNRWKa2ylUiwgsp01rGlyL/6X/8xv/L3/+4zvOeLFMzfhKf4mwJ5vJsz/+Tr\nXSH+lten6VpftN6e23za19f7+Nxd8FNLKITwnNYyzzO3241fmCa+/2cX4ne+R/joB7RaWHOisSf6\nBIc3jrTPs95uWSsgWEvQR1briS6i95kiCnIupJ5AC6c518p6vaK0cLK1GvRW2YrMyHJNBB/IpTKU\n4jgvXLcbqRWGUpQhytRSOjEmDrPHmSDt61YxRvGd4wk/BXqrMMBaz8uDFRUrjZhEpd254qpiy5HS\nZR6rlaJ2eY7gLde4UeuNzmB2DT8ceU88ClpjvaG1jnEDZQyjNIqSfOhKJ5Uowh2j0WPQ1RCrChUJ\nHHxKjX7z3wQcdutZ7ZWsDC1GAYNomdu6kig04u47bm33NSMKbou0iPte5I2SGWWh462j14adDR6H\n95bjOHKJV8boDGsoMWO0pdSIMgtGdazSAkgpVcR5+yt2QFfCVO5NIhv7MIxaxE7lDKUPeu0CrCCz\nFkssUny8NWxpRQ9AazoQBpRc0JOl5ERtlaACnSYEst0zXGrhPB/ZtkywhtstUYe8vuN8oGtDrdDb\nQLsBWFLL/OjxFYd5wRgn4rya8crhQxCymnYYYzgeZlwsPLbOYTLSrXAWZywwCD4wTxOxxJ34ZWit\nSOfCGHK9cVwOgpkdMIWAsZbL9SIq6Z1vXUojLJ7WhyR6jY5WitIaixf3Qal7YMUPP+bjP/hjfu5X\nflna2+OT1/yTr9/tp+m/yPq81vHXBXm8mzN/vfWuEH9L6y86N/n03OaTyLzPFuJt2569xiDCEWPe\nwOK1VvyN7535539ceDy+z93DhxzChNECQsil0UcRqKUW4pYxAriw1hCcKKNr70Q6uXYUcmobvUuB\n6kPIQTExtNlPKh20ZosR32E+yly6tU7cNrpS3J2OHBhsD68ZbWCVtMWD9/ggMX1Gd8mpVWC1QTnN\nlqNYQ3Tg9eNrTvPMModd7Vuw1jC5wOoad9bzuN0oXcLubR8ordDK4FQHpzGjcz4cibVgQcIRBoTg\nSbFQtMBGxMBlJNzCaaiK0TpDibfYaE1sb25IT8VXvfVLo0RIVYsow3sjtYQqmtGhj/20lPLzbDfT\nYeRPPN5gcDcfd+Z3RGuZJ2s9sNYz20Abg5ILQ3Um61njxlBCq8qtMDAEa2k7M3lNG944zKQxKcrp\n10oHpfVB7AVHQ2kRyW21QLzSB7Q9RjGX9KzKTyjUvNBGA9bnnOfgDjQ6t9tNNjVbhmlgsDxeRYSn\nEAV8rJGYK2rM9NYppdKs5hpvTGHBqMJhXogxcdmuGG9xxhBb5cXhjNaKmAvXunEyGu8EW3pNkiQ1\nh5kX1tB6w2ppxhtj0GpgtcVqQ7AG7yb6kFGNQqH21vHTNbqljWYcfUCslY8uFxbvUVqjjcEbzzYS\nKRf03o0SXUXH2kZt7Banwb/+3X/Ke3/tF7E7Y9paR86CVX14uKf3wbLMXK9X7u7uvlLR/LLW8dcB\neXzTc+a/bOtdIf4W1ud9+OGzoHd4U7Dl95//eJ9uR93f33O7XZ+/5r1HKdi2yOGw4L2nlML3vnPg\nj37wwKvT+5wefoQald4MT1xpASFociuU1oUshdiW+uh46zkfZmLJ3LZ7xg7XiC0z4fBuAq3IqVJ6\nYk0rswuU0Ug502zl0A8cw0SpnaE0qWzUJAra4ByPsbOEmbD7Y5dwgtGJtRK8o43Obd04Hw9M2mO0\nkZmdUhwPZ3m/s6iat5wkq7ZXHkohNTklp5pkLtcKbSjUUII1PEy0XuVU3ws+BGKK0OFwmIirhCVo\n7WktwtAoBVVV/DA01QlhRg9DtplrUYTnFrKEQSig0ikMQulEEl47Si9kBoZOHRXdNEuYJEVoX08F\n2CEdi8Zg1o55CrTeWZYjVmvsjg911qIM9Cx+7NttxVl5r0fvwCBME+3JJ6zl9NJq43g80HvG6oVc\nC7VU1pYZgAeClfZ17hWvLcpq0k0KfK+dMhoWIWRVGpftyuxnNIbJLRhl0Cg0mkKT0Io+JLAhOCm0\nSuAX1/VKKpk+FJf1htWa0iozgaJg6pWhBut6I7VELInFQlPQSyNtG2Ofgas+2LKIqEAT80ZwnsNy\n4HiYSElO4Ckl5nCmj0ZX0nHoSD6z0RalDFpJWhTqjVLaGY/S8rzHaRKVda1YbUg1U5tQz3LN0BVT\n8Ew+cJonJM9bTs8AZd34k3/yf/E3/ov/HKWe7htyvbfWZPO1beJZ15882X7RfejHtY5/UoHV13GG\nvBN2fc1C/Nu//dv8zu/8Ds45fvEXf5Hf+q3f4nw+f1Ov7d+L9UUf/hjj5/7s2wX70+0o+OzcZts2\nrtcr1pq3Hn9vL++isLcjGL/7QvODP29cTu/Bv/0TAfxbC0M4y3f7yWWyHrMcZH7c9+KgFJNfOC+Z\n2iq3GDE7XrKMjuqFY1h4VAOrFHfHE944Sq3EKJxdoxWX6w1jNfMUhH3dBesYppkPtGHbVrFQ7cED\nTy3vD84vePV4j3ZyklRW7WQxs2fHNtacuG03YolsPVNT5xZvu73FMLSkIPfdtqXHoDuN68AYlDHE\n1uP25CkXOM0BbWSW+35YuKVISppaCrEkLIq7F2darUzTRK0NjNycn8ROco/qiNNZ1pUsyEpr6GXA\nkJN4yZUpBNAabzy0vBdwKegV8AwOauJ8PGCtQ5WKtZbjssAAZeS8fIsZ3eC23bjEK4sTmIY3jjQK\nNVfCPBOcY6sZi6ZoK0Q0OqVXUqmoIRCPGbNnRUOqcnpsqlGrlbHGAI2WfF5tqHXI6R8tWxIlQR19\nFOo1oZ2hlELpE4xOsgXiQLuJoD1qdO7mI//m8kOsUfRRueZBsMJcTjFzDAfWlLnebgRjpV07FL0B\nqvGw3tAa5nmmqcGoGa08a1zx1uGMY4uRyXmcM7Ip6o0tb0wu8N7xjjFgzRsmTAw6s/c7prLijHjT\nlZZkLsagj0wqleDlGuwGxuhc1kdqqyxhwTq5J9i9c/UUQfp0nQ8Gr/7lH/Lzv/LLzO+/BARpG2P8\nBOCntcrlcsG5z4o4375v/CSt469aKH+SOfM7YdebZX7zN3/zN7/OA/zGb/wGv/7rv87v//7v83u/\n93v82q/92o/9M+uaf+zP/Puwxhis6/oZoYVSCu81tb7ZKT4V7KfsUa3lgy+cZ3gKi/D+zYd1jMH1\neqW1+hkFda2VeZ5xzlPrzpKujffujnx0rVyVR334JzAGuRVqr+L7zZmtiCpaa0Usicu2kkrh9e2R\nvItQahVByhwm8u4/zrkQggSuBxsIbuJ8PKKVEVX100x0j6GrtdF6xVn3fEFqpDVpjMbbQPCSNkMH\nY5Uk3BhwystkdEiU4mk5sQTHq/t7BoNrWaENwuSF6NQLpzCTWsMqTd752ZOXoIr/n7132ZEsu840\nv30/FzP3iMiLSEkUqaYuBbBZYlc10A200CNNNNEzSG+gZ5AeQhMNONBUGgvQoNVClVCoRktd3YWq\nkkSqpdaFZGZkhrub2Tln33uwjntG5DWSSQrMywYCiHBzN7cwO2evvdb61/cbaxj8iOodZww+eIxR\neOswTqO7wrvA1TCQe5PvGRxKW4xSBBeIOaK6pqoCVQZ+VG3EPZfdjYxo7PO4NCxgtccqQ28FbwLG\nOnLOxFJ2lKaMz5h9o27ArAPeW9aHErBmnAaMkq81lKiPt43SBQe5toJqldoqsYoLVusdq2XemA7B\negajccbSlUEpLTPYtWOQXnypFaM1Whtqz+RcH9jKWxegh+r7KA8Nq92DclzpTt1r7blX4ipCK9Ub\nylis9RhlGAdPoYuKXTVOy2Ufi5MSqFDYOrUlEYCVLNmk0Yw+UBGozLYlqmo8Ol7z5cdP8NrK7LXR\nTN5znGb5v9dGRUwcvHWMfsAYS/Ajo/f7tWs5DCPWGpw1tFopveGtxXpDrjK2VmrBW8cUBry1tC5U\nsba3Q3LJexlX4a1h8AGF2s0hHFuKxJKlxF8ypx+8xVf/zTcxxnBz8+yB7/3i/Z6Z5/kDOdS99/cE\nyece3atoLz62bRvLspBz2nn3cH09f+D+ba3df0953/3q3c/97v2u1irjXPazUaid5/DCezXP7+89\nD58wI/7VX/3Vh79/61vf4o//+I8/ydN95taH9U3eeVx96GlVKcXxeHzh38///P1Y0/ut1kSsNY6j\nkJZqxVrLV18/8u//8Z+x4xGe/rMEzj3gJa2wTazxbi5naqkEH8g1QRfbt3tBl9aK03qhdXH3UR1R\nqeaGtprH04yzhlIKh+OBu8tJesDOkktl2zYRVm2bQO33LAciygZUhbt4Ee6wlbEo7zym652+JfD8\nDsQUeatU3rrccAgTNEXLma4t2hioyHiOMljvKH3BmUBrUnS0O4HKWING+t3KgGkG74IERGfEEaor\ngh/BKkZTWEsUxpWKrHHFWIdzgVkBqpE3GWESn+HOUQe8D1y2M0oZOVCUxjwcySXSat7tHRpKW6zR\nLNv5IRsGuGuROTVqL2itmYIAJzKNLW7YVFh7JZbEukVKK4R7DyetSC3jcAzjIA5W2wVj3D7CowhG\nSGkxdoINNCDGBiVJZts0qErvGtUrtI4PnrymvYMuBw6nrLyXSjN4x2AHqmr33kRoi4xnNbDOE6zB\nWsNhHDBKcfAHlrRwN144LyIA7A1qL2zbBYUiuAvTIP3q3DKpZJy1aK0J2qE0XPuJyc84YxhDJJXG\nNIivsUaIW703tpzFLrIUnPWscSWmtLc/OnfrBaUUg3esW8RaxdV4wFvHIcwYrTkti/S1k4BDai8o\nrSk1M7lhnw0XbrnVZj9cdaw179zfz93Ty1tP+d5/+Su++q1vyhX0vve7+tAS8MctHX+cSt7z62X6\nzF8Iu967fmRHjz/8wz/k13/9139UT/eZWB928d8/Dh8tdADed3xBfv6DS0L3AIBt21jXlcvlwt3d\niclueAdv+yvM+rd4q6i1MA+zqJLdXk6OEaNlgxJ8X6W3zrJtOCvG9rkUgrMYfZCSb29gwDuzl7QV\ndHhyOLItZ8nGtsQaI9MwMNsZrcH73V/ZeXJNnC8Lxsq8szEC8V9TYnaG8TAR725oqnGcJ+oetnqT\nXqPqks13bzmtF3LOtKporhOsI1iH1p7WEuMwEGOmKUi7peNrh1c4TJ43TzdYZ6EW/BDotbEsG1tc\ncVePyLHQteZqOlBKYhgecb6s3F5OGOWwxjOYhB4OKK2EoawdRks7IEwjLTVBc46Wmrc9W2xYK25T\n9E6NCdCUhy7xrmLuHW8DUxgZnKWWRmtiX5lLZssJ1TsYhWoiXjJG05XCKQFaiOJcUapk3JPzXHIS\nB6dlpfWO1hrbNQZQWkAU27axFSF2GWBUIgqzZkC3ih8DMYrtoOoVZSwdjeqNmBLae2oV0w6tNF1r\nei/0bmjN4DqEUZy+tiZZY6pCIkubGIsENwhWVWm89Whv2LZIo+KtELMyHdU7l5J41AqlyiHSO0tT\nSiAmW+Tt0wm0+FcbGsfpuCvVC1Y3SkqUVPDOkZt4VUsZ3pFLxRpRuiv0Po8un1XrUhGoNWOVUMmc\ndVitKK1Su1gdSr/ZEHN6X+rdP/yHv+DnvvGvGIZAa5VS8gv7h7X2BerW++0VL1s6/qhA2ftHl6k/\n7PEvhF3vXR8ZiH/zN3+Tp0+fvufrv/3bv82v/dqvAfB7v/d7GGP4jd/4jZf6pY8fTy/0ND/L6+rK\n7zPAL17o3nuur98pMQ/Di8H2vjfTe+f6+uoDL8z757+3Tbv/2ePxyKNHj9i2jRA619eBH/wgUqvh\ncDjwzV94nf/UK/n0ZczpbbQ2KAOjDwzOgQLtDEYblFHUJHPG3gWKAqMUqYr5QnCBabDU3um9cZgm\nwRNqTcoJo2XE5tHjJ0xu4O3zia7YwRWaspeDnbFctgu1Sb9IG8MrVxO3y5nLdgGl2GpGLRe00jw+\nzlhryGukKun3GsSmLnSH1RbTFatWhP13NC2q1NEoUAeUhUOwPPZHLmWj10bwAW+kZ2q0IdXEFiNL\nXNnSJtjCVsm9UnPhMB6ElqQ0j64DKVWU7vTSYJgJXRTmx/GdjVehmOrAYjZqb9SmMMZhNKAUxmq2\n2GhFxmRsFXFTpXOvm9Z0XJC57fl4TSoyA9ubVAhEjiUZjzZdlNDOCPhidwFy2qC0wnsBwtTGXiKU\n/rD3A7VkqpKu+n1rARQFORAY7RjCQKwFZzXO7SXZWoW85aUNobQBrQnKE4LHFRFC1dqgFfI+gvTo\noGloeq8s68bteuaeNb6lyngY8MZyWlaO4yDewyXzaA4ovSNamxxUjNU8Ph4wWlNa4/HVNTlFztuF\nK3NAKelde6PBaObBYZVFGUMpiZQLavCczguKhvXilaybxigl7mFKoY3MgR+HiSEMWGOpST4M3Rpd\nGUqu+1SCTCGUWglG7xK9zu0mbaZDmKTv/1xAqzlx+u53+Pr//D9wd3fH6XR6uN+997z66qs8evTo\nI3aj40Nf9vl96N0BXKwW+/se/ltrvPrq4RM5M73ffvf8819dffCQvZPQAAAgAElEQVR+92lbr732\n/qLcd6+PDMTf/va3P/TxP/qjP+JP//RP+fa3v/3Sb96zZ8tHf9NnaG1bfI8o4StfueLNN0/PfU96\nOK1u20ZKid47zjlOp/wRasj7ICx9mWEYyNnwxht33N3d7ZD4ztOnJ06nM8YYBiPB9Pzky1wvF4zq\nWGUemNGtNXLMdNvETSdXRi9wi1YqDc26LtxcTkSfGUJAAcd5ZnBii9h6xxhH04IDNEqTa4YufUqs\nJ5VKTJFpmFC9U3LBaSFv5VLZLhs6COhg1JqYxLi+K5jDDL3T+0Ysmetp5oCof8mwppVculgrdnHY\nKaVjTZPgZhxLXPDTiPaGyYx4bUg1E7NQlZwGet/hKHZnJAuCUykYvcOqJuXYVsktc3WcOZ8v0i/t\nUnKtORL8QIyJ0poE3y6fV6sNpcVv2jlP00BpHMaR2/OZS92waCodrx0OcY6qKPE2Vo7LDnoxWj+8\ndxUBadQmPUuAvEngQBt6ln672sfdSmlsZRVuOZIN0hpda1JKJDIUhdWeeRxgXXcTEbUHFYsxVrIp\nlNgaDoG4RWzwtFqlT7pT20qp5FaopWCMJtiBYC2pdu5OC+ck+Mfvv/mUNSaoldgLB0aG0WKMKJK7\nUuSy4owhVTFtCFbz5HBkGiZKK5SSuTnfQW8EO4gjkzGclhNrjJSWcTqwxsLoNeTIljK1FUySfrdC\n8fTZ2yzrhvWaXiWDfu3xE+Fc68boGk5pJhc4+pFzvHBaFkpt9F1xrxUsm/DWtdIMTuOUo7fOZVk5\nLxtjkFaNMwZvPbVV/vrf/SVXv/iL5KZozT/0Ur0fydm8sJ982Opdsa7rA9f93UKp3jt3d6f3ZMQA\nT57MPH16/sSB8vn97p3XJQSxjwIdfVrWa68dX/hMPiwof6LS9J/92Z/x+7//+/zBH/wB4zh+kqf6\nzK77U6f3Mnj/QWWb+5vg9vb2wQw8hIFhCB9Jp/mgvszzJaB7uMeyLPReGYbAL3/lEX95yeTXv4R9\n6/uS/arGsiUO04EhSC9vGkYJfk3wltY4gtPEOEj/tXecC2iFQBB653qaUWovVXfY4krKiWVLxFII\ndmAKfs+KLcFYzssK2lBK5rRcSLWSa+bQZh7PB4bg0UpO9LFktpjwu5mA7Ur8iXfhS3IZlTZqT7wa\nrgjDwD+8/T1qKdzlzBQ81y4wDbP0b1Mll0T3jtoqBof3hkvMbOuG0gpxRxrxRsRNMWXWLXE9H/ZZ\nUUtJm5TDkfGYWCPWW7S2bDETa5IZaWcxvaOCQ/dAawXjrGSHFXItlK4w2mCr+B8lCmsTipaWQSda\nMRhbOa0Lo3Okktna7pCkDEU31lpJuTK1Rq8N4wLBaUI4SqZYxGkJOkprnHdi79gLRMmEvXM80n63\nPLSgNBrNGAY6olVw1km5VkmAHLxBd4Myekc+WsmMlQTumLOAPOiYoqErluQYVeeOE32rODswukBw\njsu6EteNuEXOxnAYBkoFazstG0qTkrTTMrY1DZNk961LD9rK3O7rjx9Ruzg2SYvifg4YTstFFNRh\nwGnF4XBgsAOxZNK6kVVjy4lBe1ptpFY5psQURvLeh3LWYu29w5Lhej5Knxjx8zZGMfphF2OVB0e0\nXDPqXsRYGsoqSm3EcsYZy+3dLX/95/8HX/uf/u2DbuRe7PRxVoxRSu4vTFq8s8d8VBlbaHWfbH1S\ngMhnbX2iQPy7v/u7pJT4rd/6LQB+5Vd+hd/5nd/5kbywz8L6uPL8e1tDcfV5HuDx0SKG9wvwz/eo\n7x+/uroi50StnV96/IRLtvzVd+Fq20jxQonSdw3WcRgGYk7EnNDaUlrey3dixn48zBybzMnGGKUU\nXTJT2ElUVjb5GDe8tXQvyEGj5FReKkzBMYTAumxctrNAI2hM44gukdDMroLt3F4u6Ca9QWssSskh\np9F3G76KC4HRO1H01s5V6BIAcmT2M7meMEX8f5/d3WG95tFwJJVC7Jn1dMFrwxQmgnFcyuU5ZXLH\nBo0PI6o31rqReuPZ7UmUxR1iTuQc0RiMAdcsMSassax5lXExY2E3j9fI3GjpDXbx2RYjyogoqVRx\nvXr4HBFcpvhPGWJLuAraOeqeHdqm2EoHMrU13D6uVWphMJ4pOErvxJrxO2JkLQWrBRlZ976wa7I9\nOOseTD96BuUUOSUpZZdGGDyDF3b2JS4456lI31JESJ6YIoW8q7AVvfVdeSxjTtZoUJqSC3e5YfTK\n6AYu8RZrnLxP+2cvKt6N2QZ6r9S6C97QHKYDy3ZmSZW3T89Y0srjcMVwGHDOUXvltFzYchF3Jmd5\n4+YttFY8OlwTvEejyDlSlMJYT97OrNtGzCsg75ExWq7vXNnWjTIfMdzrKcSPOZeGd1b6vE1EmV11\ntDIMfmCJ6zuHZqRdIILFRO1dqia10Doc9nv/n/6v/8z0tZ8mDON+UB8+VhL0skKpDwuUp9MnD8Tw\nyQAin7X1iQLxn/zJn/yoXsdnbv0w3NV7FfT7C7M+XMTwfvN+7z7Z3o8o9N4x+2H4a1868vSu4A4H\n7N/8JSYopkGyEK1FBFNqQRslbjclP8w66n1T0rsSt7Qdu2ctzlmccSzbitaayxpJVQL6cQ6glfCO\njWUeAmkrWONQRpN3YdikR26WO1pccHE3igdmq5n8jDeOZRW1b6lViEe9cknihRzThuqKSKZ3MbQ4\nGE91jclPnPqZ0yqq7Ov5gLeWEitv351YQuYQBiFzmY2YCzlVmtaE2sktElvhahxBSY9y2yJLlHKm\n807MMzTU1ChVSt2KymEIxFqlVN8bOXdqKdjBklKllXtVsZTkW60UChYeLBAVHW/E7WocR0Y3olTj\ndlkQv1yhdVkNwU/UmBjCxBA84zCiFeTS0FogFTd3tzIYpRy1ZxQKH6Q/3HtDa0eJldILNkGv7cF6\ncIkrxojbkcZQ6AzGofeZ6d4S3hrOm2SOtVWMN/StCYq1SmbnncVYy7pFWpHqhu4apRprKngtCuXz\ntpG3lRt1wWnJyscwEJwhpg1jA75sOG0Z7YwdLFYZJhdYUuQHz96WcSprCM6wREFXGnUWP+1WhSGd\nKgZL0wIVbUrhrWVAMv/eYR4P+GFg8IHgvGgtlBhjGK3ZdqvDYMMDqKO2SirpBYzsO2z3LqN7xjFY\nR+xCuut0LnFhu02o//iXPPr6V3j8+AkhDMzzgevr65cKaB9HKPUvESg/7wH4fn02BrZ+wtbLnDrf\nb/2wdJqPwtbB7vu6K1XnecY5x83NLT/7Mz/DdP1l/vz//nvW8Yg9v80SN47TxGGYRI2qNaMfyHpX\n4t4Hc6cZzUAsUahb1nGzXnYkoGXLETAcpxGjNQc9smwrzlopd1rD9XQApbg935GqjL7IgcTgrEJH\nhUNzOByZwkjcNi7LQi0D4ehxxvH40WPBGabMsp45rSs5iTEFGtY1clpWamvC1NYOpzSDdXQXmKcZ\nbwKneOGcF1qvnNcTvTWs0xjtGIPGGumbagPLGncBUKepStwV1M5qUmqSMSLIR5lhAa8Nh3Gm9kLP\nIsJaa5O+pfd71tcouzGFZ7f16/VBoDUi2V8YRzEtUPahZ671TqUqQppyxhK8xxlL7HCYJpSS8rPR\nmlw33jpfaEVctSpAz9R9vjmljFKNoBwWWCno2qkkMfRwnrqztm31hMFScxfFfO2cLmf5/yPGFcoo\njO5o7aRvrJTYGWqDU53agVLorQCWNWdar+hmaKVyagItsXSadVyPI60LirXWRgSc6QzG4saR3MRT\nW3UxkjDK0tuFNRVmHzBd3LFyqzL7WhrjOLK1yGA82lasM1xP16w58tbdM47DyGGUMSW9Z/dGixOU\nUuqh9Kx2SlaV+Ti63UEd9AcUrLcOU9TDfHTMiS2JMnwMA40mB2jtSFlaMbU13vhvf8OTX/gqpRSM\nybz11lO2bWMchweNyAdlyR93j/kiUP7LrC8C8Y9hvcyp8/0f++HoNB+VeT9/sj0erx4G9a015Fw4\n+M5xgH9+9Wd5tNwB4iZ02VZaaDjj9nnNwPUsZTdnLLU1Uk1SnrSSzR7HkWC99AyNpbvOJQmBSgAH\nbh/pMBzHmdoEv9iaZh4mzuuK3Q8URhnGMHCcDqSYaaWSauVwOErprxZqF3tAgMFbTucm2EDnGYYn\n3F0WSnyGMorJi4WdVprcCrk10AZTFd2KRWOMeReQbWIiYITJHAsEpzkXGeWy2qKM4rJtokrWneC8\njM+ULsHXCpVsCgOtVo7zAWU0LcHoPKl2FBqrlARH5/GqYLRmiSc2KjprjLHonYKRqIzaM7lApbGW\nRNpkpGQInhgTtdYdqFFpvVAajMNIoZNjwuYsFYneqEW+vyMsawMMOLpR9CqQDqzM+a4lMpmAtg5N\no7WC1lb6uFbERvTGsm2AZMreepTRqA4tVVroDGNgsJbSM/HSiOtC0YauEsFLH3ecZ3qvUvpNac9U\nG+dtQ+/BddtVyLmB6gnrDISRyVoOYeB8PmFmSwheUJSIMUbtK01JWXsrmXVdyKVhDpaDNYTqCMEz\nqkBpcsjJVcb5rPVMg8dpqdAs24bTmtO20EG8o5WllI2GACoUilgirXZiSfSuSK0y+syaNtaYWWIU\nYpb1PDkeHyoha964ng80JVd5qRW1Np5+5+84/pt/zd3dCe895/PpAeyzLBfm+fC+KuofZo952fUF\nrvKHX18E4h/D+mEzW/h4IoaPMxj/PBKzlIz3jhiljHZ7e+LnXnX80/cCz6Zrhre/Ry6CjkilcDXN\n+Jrx1hNceLjRWk5sKYHSIjZCMpOiCxq9i7UqNHaQfsc5KT0qB0Zbnp7exiqLNWa3OXQYbagpk1tF\nF83BT2ivSL1x1JpzPHNzvmONI84agvf8zJOfolJ3K0LhG8dcULpiHAzZEUtEG0XpnZ4LhSJErF7Y\nzhuXbeHZ6U7IUMicp1UG9mA8u4GrMJOR2ea7JdKRgGWsp7UGSjE6h7WORoMq2c/oPew8b28tW0sE\nrcm6i5WhMvRe6VpmT4Pk02QK946E8hUYxmmHV1RqbnhrSEX6wUorWu5sLeJx5NpxVouN4LY8ePK2\nhuAme8E6LzPYHQxKcu8qaFTVBQyzZcFv1lo5HmdyqftomkLvWEdnPJrEuqwSMNgPbcritKF4TVNa\nHKRapzZoVNR+jQsYS4kdoNEcDlcsy8Lt6RlFNSxKyGfDSClJONHGY7rZx7IaUUfos5Ctxpnrw5E1\nR96+vSPnxs16Qan+QHoXAxVFLBtLHrBpQe0HxXkXe0l7xfDk+glWa4y23FxODMnx6qNXuZpmtBEO\n9mm9MA+SjWqlqR1qTbjmBBOLwXuhZ9Ui7ldzGHHG4rWhKwm2pTdqEb3Esu0aC+6lCp1n3/k7vvat\nb1JKfsDYCqFK9oLz+bzrTd6bGf84hFJf4Co/2foiEP8Y1ic9db5sb+bj9HvEn3jjdJKxhHsl98PN\nUxJf/dIV34k/i7l7hi0yDtVphB2TCQlv78cqHMF7ehfrN620qJWVGAQoUx9IRbkirj254p1kuYO3\nMhuqHXMIe/a2ww2MAtuhKLIreO8ppbDcnkAr1pgBi9EC+qgpc7dcaL1KX7YrtrKybCun5UJrMHjP\n3XJmSSteD+SaGIaB2hLLKgG1lkYuhTUtGIygCoOXQGgaxVtcGGAteBtwNrOVQuuFng1ZwWEIrFuk\n7lTpOcxC5dICGWm14Z3B6AOFxkGrBzKX0Ya4XMBqxu6wdiQ3RPzVCk7kQDgl2axuDW8MyhjOl0UU\nzcjhKhDQFqzSlN5YTieZAS6ZThEHKuPR3dIb5N6oyIaggEwhRsnY0Z3gAoGR2oswppVBaTn0OG0J\nfsLqTkqOwzSz7gSmmjLOO/xeftZIxaZTZbzJOuwoXW9n5XAW/EhKEa+uqePAXK7EotJ6MFrGoLqh\nW413ntorYxhQuknmvm2cnOXxdA2lEldpy+SWZL67Vt4+30qlQUl1otbG1TgyGsclrjJlEEa2uJGr\nTApYbZinCaPYrUMDrz26ZnADd+sZpz0xJ+YwopSQ4HKNeOUZh8AWpX3QuyjUY67Mg6M0qe6UVsml\ncCoLwXsm7xmcw1pPqgVFfzBfIRbe+Ou/ZfjyK9idIvb8PqG1jEHeB+gfdo95mfWFD/EnX18E4h/T\n+qSnzpe5OV42836H6yr9NK01OWecc3vfWDCTX3n9wNO7a7avfJ3xn74LvaP3kQth5Arg/v616a6l\nV6jfuYzu51Xv1guDczK+ZQ3hcCSWAr0zjYFSG6lEvJWxE2dlHEVUo5VLuzBdXfFl7xms47JtvH1z\ny3k5M4aJeRgYwkhOidO20JRm8J7ai/TTlkjplZwzxjhyKzw+XBNbxGrLutxb9knZseZGqgVrHUd9\nwBpDQxGcQ7WKUyPOBpy2NA+uN0zXnNLKqjUxZioFFWEpm6iVneU4OurWsEZRcqWqikJ6xr0r6fca\nzyVFBiXkqpIyWltaETbxYRxpvaEaYDS5drxRgKYUMdOIlD2Qyty3v8d3Gk1ZhSXutd8PNVaAHaXS\nasEYg9EW2zKFTmMHdnR5rb5ZSlNYZ1nXjXS+JTjpR6qumWZPaUUyNiO2mq2LLtxPA701UpPedO8J\nZwNq1wEE4zBuwhpFrAWjLMEH7s4bd+sJpUTANXsr112DrMR1yhtH052c9F7lGXh8HEUhXqTrfc6R\nWJJwkJX01MM4crOslJY4jJ5uDJMOOOMYhpFgJfjFknFejCe2FGUsTx3wwYshh5Z+fe1iy+idpeZG\nqYUlJ1JMdKMYXaNuHas1nYY2GtcdtUbEtUnws7WJS1ludTfW6IRmGdzAYZpJpTL6Jmx3Gm/+17/h\nF776M/jg8d6969DPPiP8wQLPD0NQvmyA/gJX+aNZXwTiH+P6l1AdCoghv4fKdX8DvPtGeX6cKaXE\n8XjklVdeJaWNaZr55tc9/2FZyYdHjMvdzth95/fdY/fkSZARlPbc15A+2RQ8V9MBvSiWLcpIhLMS\nWMJEpfPsdMvN3S1p93Z1zvNomiitk3LmajoweM+axHiiNOnfTqFzNV+hlSJuK7U3lnWhI+W887Zw\nu53pDVHEGrFMeHQYqVmC0L114nm90Kuc4HOpeK+hG+kDG41RGh8s0zDy5HAkpUxSohi2oXFtJpzR\n3NRKL51YC6ruFCu1U6isofaO0vcHG4UPhpQrFEE7qt45LyslZ7ruuC5ePDSFdwMpRgpNssLeaLWQ\nSmErG+tz6EsJoUCNBDugjWKJmzgiBQcNSrpQd5djg0IbS0kdqTPIBxuMI9UoFGRloBVOKXKvmbdZ\nDA6sUmA0lEqi7/xp8N4K4rTuinBtcaZSu+XoHbmrvVefsc5xPF5j40pMEXphGia8cfJeeU3VYBQM\nfsDshiNaGXrPWCVuUsE6egNlLIO1GMxuS5gZ/SiwkJQpqnDslbvTGT1MBGvRbsJqw7audDSz7eiu\nUKpzWlZ6b7xy/UTK0FoR08aaKpdlpfjKEiPBSfH4Ejfybk3Y+/1hrpN65dE4o1DUst3fUNR9/vnm\nfBbgDVqCdqvQDalWHrkAKmJNwBUBtthSGEuDyRLC8BBA4d4y8ePvOR+3xPwFrvJHsz73gfjHLTD4\ncT3v8zfMum4oJYH//Sg597/+3SXz3mXcaBgCjx+/Sq2FR4fOTz0eedp+nuvvfwe7Azneib3v/F8U\n6mG8Kd9b6iCqUU/Aass8TLQmp3OFYsuFNUdiTjw73aCVqIlrb9AqMYtS9dHxKErtmqF3LJLJt1wo\nvfLs7kbKkUrhtJTmDtPMm2+/yZoTp2VlsIZ5nHFacbst1N7Fx9Z5JuckQ1crXWWahqY7cUtoY1EN\nmpLNJNiBx4cjr18/4mZZMNvGkjZ676y5sJbEIUxk5xmHTlo3Gp3cKiVnKQFbzWGcSEVKjMsSqR0u\n6UJpjbIk0EqCiDfUXGhK5rCXGEnbhg9+J3I18u6TfD/O5NAPLk8OsFhqrcQNrLJoY8k5P5jOKxR7\nh5uaIlY5QhcaVm0dYwy9glMOZbugPffLQO2fvTMO55yU3q3Fdoi54JTCh4mtbFwu64Ny+jjNOC0l\nYo3CWsMURqBTyoo1CjeM4uLlLN4F4TSTKalRtZh+WOcIbsAAt9vCYbKoptjSRvAzrUbeTosEOTql\nihd1bRXvHCVGNBbrPMqI2GtwkvFPIXDZVlQHbbWI3roQ2e7WlXlYmcIAaFSTvnzaR7xuTjcvHIDX\nUii1UlvGaktpQt0KzmONITj5mtkz5dIyrUNthVgSg/OMQUbN7kvSox9g4OGerD94xus//zWePn1K\nrZneZUzROfexs9EfpsT8SfQwX6x31uc6EH9aBQbvvmHmeaK1hrXuPdzYd98owyCjU7e3t6S0UWtj\nGALX19coJazX//Xqiv/9L/6e25J49P3vsOaI1ZppeO9zOyvAAqvt3qO8v4kFSh+sZ7WR1oRIlEpm\nsCNvrSvLljBKRDvWGVCwbhdeG5+gnCOVtFvpdUqr3Kx3rKXQT2d53hShVax3XE1X3J7u+MH5BtW6\nODpNMxYxbqfIpqJQDDrQjHjZ9i6MYbfztVXvGC3l8il45vGKwxDQTnF7lkw7xZ0vjGIeB3LZCGFg\nUp113WiDiJ/SJj7CnUbrVg5EXZFbkV5ni7QmwrGmOs471u1CKSLaUUphWmddz2ikZCsjwgpsIOUN\nrx21xYcgDJCQHq/uYLvAFwblUa2RWnxuZlWCeKJTemIyXkqxSSwFNVB6xXazd7xFXW0QS0pjHcpA\nq41uANWpaHqtNNsIdiT5gu0dZzS1N6wB00Qf0Jr0Zc+pEFPBGoP1FtU0h/FAcA7vLOdUmcdAaYXB\ne2JpaC+ITDrklEk5MQyTXIvGc9lOvF3vpCRdK6VJSbifOzFvHOcj18cDVmlRzzcopeJGz3GU+Whr\nxAnqql+zbgu1RO7WC1qJ5gDvSSVjjMFaLYKsVkm54IyB1hm80NKsEUZAapWeNrQxGONINXHeVuiK\nwQXmo7QhahVdgbcCIamtMvjwTuVrvw1v/79/5Gf/l3/L1dXVDtV556j0cdYPW2L+caqwP0/rcxuI\nP60Cgw+6Ye77vu9WSd7fKGkHC8iN0RmGwPF4fKB4revGui4opYkx8ktfHviL+LqU0J698YGvxRpL\nzFFYwPuJZhoC8zA+4AznMHBeN1LJeGt5tl74/ltPaUrENdTOwY4YYzFaYCCDCzy9uaWrzpISz863\n6KZ4fDXTZP9lyRu0xs8/eY15mvnB06fUtdCMlplZA7Fs5L1HC2C1xQ9eeuRW8+rVgWXz3JRbahcQ\nRkqF8TAxhgGjFbl3vBIG1THMJG24jQtGC5EqDIO4HCE9864aW6r01qgdYo2onnDWMjhNik36gWuR\n0a0OSltySigMlUYwjliSuAcBWgkwpXf5WcU+ftQKlnd8ih8+m/3P4AdalqCqtKWWiNPi4DNQMdqx\ntUhF2hwCqujy+DBLSbw1mXFGgnBH1NC0jVY1xRiGoBiGiZxvqUazbEmERloz+JFl27ikjabgEA5o\nDYNzKK0ZneIwTgIaAX5w85bgKpXFWA0RtlIwqnIYJkLJOONILTMEz926stVETJHTalFWQ9MsZWNo\nA3YwpJggd5Sy+3FRRtMG4+llE19qY/G7OOrmcqHnSMyK3hrTMIprkrMcpwMxy7zv1TyitWHwnpNa\nWLZVFPe1Yowm5gJdDDWccRgFxlhqLRznicf2KKOApbJleb8AYhcm+SUuKKWou5CrI7aU9wEubol/\n/i9/zZe+8cuM4/BCde/j9GjvK2fvDwb68BLzF7jKT74+l4H40yww+GF7MpL9J6CzbZHHjx8/ZMfb\nFiklY61lnmfu7uCnv/xT6PCI/zYe8bXg0vqCWCvtIqFUEqWIObqz7sVesTXkUmh9N4g3mtY7p8uC\n7PgCzW9GCqwahG5VGvNhZJsKa1zptbLljav5inkcSTljjeH2dKaTGcLElhKdznQYOZ/O+xgTpJgo\ntfLTr7zC9XygN808jSzrwu16YQyOVUe8H3DWsWnNipRGW++EwRFwLGkl5coWE0NwqCKAitAttWW2\nEjmEiU6RA4oG7QQROhpDaY11PVPKQO2NdVvJJe8WgOA6lK7JLWHu7fKQnnprndYrJWWUExemlBMW\nQyLT3if7scDsRhnBcVUUuXGj0zFGRoS08bQm872ZQtlHxtqulG+1Yo24KKE0rrcHx6V78EouMnus\njZEKS5e/+yCGFLV11riwbivaOHpHjO21xlgndpheoDHLluSgQZexre54dnsiNrGP9N4J+rFVjLI4\nZTm4jlUabxTnyyoK5EXmo71zoDqjCYyT5fZ8wWtwwaONYdsSzcr/I8yeaZqRhNLuwjjhi6eSKN1g\njGGNkZvlzO35hKZzmA5MQ2D0wsNurYFO9Npw1hJzone4rBeO8zVWu4cDbGkVKsKdNoUlbVxiIuUs\nY4AUeh+5nq+prbHGSIsdZzYO4yRthF5546++y5e+8csP9/19n/jj9GjvD+Ol5IefuQ+mL1Ni/gJX\n+cnW5zYQf1oFBh+3J3Of+U/TxDiOAnt4Vwnp/lByfxq+V1Z/6UngFK95I/0rHn33P0Fvu8ozS7aL\nkn7iznVWqshoBeyzswPaCVjiEAZhEacVRSf4QQRWRiwC2Z/3MB05jHKSPgwDk/d0DeENUY6qDkpp\nKR1qTekWoyGVilIabyzGepyz9NppkyPGxOxHro9XOGM4rxG0ZvaeVCWPHKwhV2EZH8YDThuO84HB\nO2JpqK6YB885rixr4ZxktrM0yVaDCXjn8OPAcnODMZbBOpzWaGM4rwu368LYKrpDygXoNAUlRpp2\nkkGDACuQvqHqGqNFjT4MMmYTS5E53t2huL5QbIaAIvhRXl9K1L1nea+CN1rh3CSCrSQ9ytYMzg6Q\nV7oyWOM4DBOlZJa0QdkZ1FSccsSeiT1LEFQDW457Fh9pudOVxneNcZZlXVDKYBSs20KKCW0MuTac\nETqX8waS9EKPYeJuufB0K2jdaK1zNTmCHR4ETd5EXj8+4RjIryEAACAASURBVGo+siVRqaeQmexI\nMplNieKc2jhvJyY3YbUljI7JjbvaH2gQ08Ybd7c8rnW3APRc1gVXPM46GaeKK1ElckrQ5JrtqlNL\nJaZMb22/LjXBOLqGUst++BWNhAZizmIzioz83We5KaedT64hJazVUAxjGOm989btHcELNjamKO+B\ndTjjuPmHf+D2zTcJxyMppYfrwBjL8Xj1UvtKjJGU0l4Vk/0h5/QAAXrZYP6Tum/+pK/PZSD+NAsM\nPk5P5t2Zv1JSItNa75m/f8+hRGv9wnvz3//8E/79OXP5qZ9j/Ofv0loj5Swew/2dYqhSSkwXTH/I\nmO8fv1tXNB3rHDpFtNGMwRGTQRgYnVIbzg+8chSUpTEaXdmB9yNXh4lSGjEnFJrcy+6XG5iHidKg\nthO1N5wzTDawqURLmXkaiE02RTcfUaxc7ZSrbYuUGmUT7RoT2t7X62wlsaWIs5amDaprFDLm1DrS\nX3eWpix2MIxONu7JTtTeKDURnUHtpd77/nNXipakhCmjYYa1RcJ9VcAPeGc5TkfuzidQogZ32qJ7\nphohojkbWEukPH99AN56Wi2sKdGUuCG1XhndQE8bORWUczhlWHtGO0sokEui0hj8yGAtzkjR2xRR\nNysqg7JYK2M6GhhswDrBao7WMnrJirZUcE6L+MwFgVl0TSkd78QZqeVKqYlk4bxsDM6h92BmjDh3\nzdOAqYbeoZRM8I5Wxa1LWYXW4LyIn4y2e9ne7HPtnao75A6u03QllUZwijWtFCqHMDOEAK3w1vmW\nWirWGFSDojaZ5fUSvFstzLOMts3jyN2ycVpPsIpj1ejFh7nUxtVhIq4ZczQYpR5wlQrhks+jCBFj\nyuSWOS+CfvXG0kOg9SZq/w6XbYXe0Eo8vHPNcmhpnTAFnLF89//8f/i5//FfvyDSvL/PP6pELLaH\nt1hrCCEQY0IpiDGj9carr772gT/3RQb8o1mf20D8aRYYvGxP5v0yf6XUA8jj/ibqe1/Q7yXC+/cG\nwDvDt37xVf6321va0+/R04U1RoKT0/jzv6v1vgtNKqU0gjWyKceIGAdo1rSxrRvaiuvOcZgYppHe\nG/MwUErjdjnjrcdqjXMaZwdef/Qq33vz+1hrUcAaN7x1HMeRVDJX80jvr/DGW095dHVNLpm7u4UQ\ngmA1AbRm2Vasszw+HDHGsBhLTJFLT7hgMU2oYDL2s1BqJ7csJU4/44yQp6w2DM5ilMV6w+QD8zjT\nW+WNdst5vRU8JGI8f3W4FqFWadSaoMHuvEDuhUFZhh1YMQ8B5wLOGraysm2RcZjYYhQXpN45TANb\nLszDEbetRAoFmLCsJe7GEALzcF1K/6VWjA0SIFunqU5XEIxFW09JmdIV2oiAyZUsAJNtFVU+gabF\nVWvUQdTSzmIse6aexaRBg9ZSHTHWoVtjLRqnoCo5cDlrKFkQpV0pYpLNX3eL9ZrjNLOtK7obSq8y\n/9wKAUfw0geOWXQPh2nmejzs/Gbx7u2LiLNaqWCF+TzqgWWLBLvivcd08Wp2xrHWFaMU3jp88ORU\nKDFyqoKp1N0wzRPjGGhNsK+Dz1yypvYuCnIj7ZnaVoGOKDk8OWfYYtr56pa+iyJjTqQsVY3SGm1n\nawsq07HFyCVupCwHpFg9Hdhy4moyUMToxBnHzf/797z2jV+SPj/3ZeXwUq221pocUp2V+8X7h72h\nFKkSGGNe+JlPq9D1J3V9LgMxfPoFBi/Tk1FK7V6r7YXvGYaBWqXkpzU4J7CEd9jUYRfsNNZ1JV7u\n+Jknjn/cvo77u/+8E5oakHHGsMQoz9cbdBnbOexEn1giSu1s4LThrWceO7UWhkePCM7ss5YBlCaW\nDe8C53Uh1yxlX++xdiD4gbgt9FZxzvF4PjKEgZgkUL16ZWm5spaNtWauRynPOidmFG/d3TIGT7CO\ns5U5VK008zSggEbmZpVenPdOZjXNO+5HKW1UawnaEAbH4Cc0SmaNB+l31pagV25OK9AwBpTxKAvH\n45HTckFVCL2J0t1ZXA0oBV5bRi9OQk1DKonJDoTRYp3YKZpuUHr/vLzdA3MjxiJ6dW0orTyotUFK\n145KaZLRaSVkqFwyvTbxTlbSD0Uraipoo4Wc1cQekZ0TfjmfZazJeeii5LXastZE2hJYhcPjrd2v\nv4pzA40NpyzdKFpr3J5ODGEgDCN0RcqR3qDpDbbGYTiANqA02nRolYohlsrgJfvNuREMXHZu+iHM\nYKEXQxpl5ElbzeBEcd66Ag25wjBqZj2wxQ1UZ40Fpw06iNlFLoJLdcZwNR04TiPKGJzWdG0e9gyl\nxQtbo6i1ULUC7WgNvAsPIrl5MPCc4UbcZ4GNNVAakx9wRnPaLmgMuUS2tAkqtVcRNepG3t3NWpMx\nNtiNJGKGZWH+8pckk35JodU7e8WL+8bzP//u9WkVuv4kr89tIIZPv8Dgo15zjJEYRYj1/Cm59871\n9fULRhD333u/wRyPx720vTFNI9/4+sxWNLfr15j/8b+ilNkDlfR3O036WhrY50Z773tm7LnElfO6\nMuync6Uto/cE7zFKTOW3JDPDd5cLS1wppaA0zOMslClgHibBOqJ5dLzCGIXRMpM5OE+ujfj0DV45\nPKLWRlWd5bLirWEMjuN4xBrF3fkZuXaMQkrNdEqT/nMuidO6EOOKc2EXclkxudea0sA1RWmF2jqD\nd8zdcxsj3lu8t1wdZgyGJcqc8NGPmMmRU2ItFWsUue/saSNZvtWWeZ64no5steCzofuBVDtea27U\nBQsY5cAqqIqcNhqKAcOFSmkZhQiq6v4HIAP0DOczw+AYw8Q0DlwWyd62UvBjgNKpXYrdpRV67WKY\nYPS+Kcvv9Hafw5UrEWc07IcWbx3aehmzapBbFpGW7sLuVhK0csmEWoi9o6o4H5VcWXPFm42tFnoX\nwdjaOrVvdOR1PB5nQhjx1pBzBdV2R6mK14arMHMuFzIdrSxX01He15LFvas1Ytl2YpyMQlWVKC1T\nqgjaRj+Q6u6E5R0etQNlRjrip3y3+z1bYxHBs8KqJlWTXT2d4oUnV0eCC/LvHIm5cJwmnHbEnKhN\noCCxVGiRJYoHtuuNEiPDNGGsIDmdllI9Smbz7wWSt3/7j/zsL/3iu6p8H91q01rjnJf2ybsqhM75\n98CCPq1C15/k9bkOxPCjExj8pPVL7k+t8zyxbRspiZl6a5Wrq+uHk+vzWfLzhxKAu7u7B4atUopv\n/nev8OdLIZ3eZj69TSyZkivOSn/MWQsdVqXltL97s7Z9BGcMoi7VQctGoxRKacqeITmtqLXx5u0z\nTutFEIG18VOvvy6mAaVhveUwHchFFLYKGZ9ym6E3UaPO/z9779JjW5rW+f3e+7rsvSPOOZmVFJfG\n2Opu6AK7LSMLy5ItWUz5DgxQD1HVV2DCECYMmKESH4AvwMR2W2pTNLKN1cZqi25ThqIy85wTsfde\na713D54VkSevlVWZWXUS8k1lKhUndsSOOGut5/Z/fv9xYk3rLnZShMExKRGqneMF08TM4p3zC7pq\nsg7VFV5rTH/I6jd6EXZwp9GqQVuHKQXnArMbOBxmmZcbTVEdDEzOY7virRtHpzKlgbStTMPIlpMI\n5rRivYsMVjCaxojNX+6VXjulFlqtBB/QGAYKNVfmecR0xVaSuF15uK8ZmvgFH3DQKhpNeUXCpfd/\nK7CS6VHR+krOha67CItKJnQHRhOUJ9dCzoILnYdxrxoTOE0vndors5soqZBrEkW0gjHIGp0yA2Ow\nvFyuMgJqndgLqmliTah9N7yhsFpawjElqJWWM5uCcZy4bitGQ7AaBZSWyaXz9vklh5IYbBB7xS4e\nvilFugv0AmG0HPWEtqKCNsYwG0twjmVZuOaG7ZreNpknVxkbjGHEGs2aMq1kZuc4L3DwI9YZnJX1\no2WLuK54cvuE4zyybUmsP1Xf960daxK7zOsWMVra10p3lpiotdNbls/VsmFQc8Z6DySMlT3q0oSl\nfRhEuKWM4GWHIB7HSokKfvv+2z/SqE0pxc3NDefzPTnnx4875z4k1PoyC11f5/OPPhB/Hud1m5d8\nMGt9Nci21j/RD/nhJmqtodT7s+ngLf/yn77Bv4n/GfN3O+PyEpBK7vHzFDhjSLt7U9+VutYYTDVC\ndMpii+iaxShDrYUYN66lcI0bS1w4X67kVri7nLnUhWfzU0rNuGI5TQecdZTe6GU3l0gJbS10MZt3\n1lJ7odbG/fXC3XrPJa1YLMFZ1pSwyuDNIM5OtXK/nIkp441HKUvuV5RW1CztwKAd1opaO+tCjhkT\nNLMb0UaRc2EcJrpaudzds+10JMJAS42SRBEcnCUosVCMOZJTwhphChuriK1QShVwhVJCXKqdri3W\nwuwmbNfcxwspJ7pSaCM0LmE9SxiWXoWMox9kdRowWj+yTmvrGCWN+V47qIZW8rNuKUrg616Qjb3j\n/YAJmlQiqip8CLKmEyOlJZatY6ym5ojxXoAqWoRVuSQu20btVWwytUbpzuACte/t6sGLdWO1bEmc\nwpTXtG5pNWGMJSH7s7V3WpDKdJ4OrMuVWDKDnwhOsV037tKZ0XuyTTgfeHY8Efad8HauDMOw77tr\nrA4s+UJdK9bJrvngRsZxZAoT3lpqLrx995x5mDhOB4qLBO9F3FVFAe20IaaN+3RlzYlaxTb0crwS\n3MAcPFrv2A0laupcKzGLH7c3FjMdcM4JwAWF1hboWOuYfUCb97QdDdlz1qWRXt5hT8cf+jn08Hnb\ntvGA7RqG4UOv/zILXV89r1vh9FUg/ozndZyXfJxISz08cD8ia/3ghflww2kt4q6chZT15Bj45f/0\nTf69sbzx138p6t8PfC1vPe1hl1FLa3IMI2MYySWzpkjrnVQrOieUVqwp8vcvvk+OFRRc4iKzLzqt\nCtDAGUcplVwi0zjve5Sd4EeCNajeSDXvwIks1Xle+f79u+RUuT3cELyj1MLdtjBay+ADS964x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aoDeMdowu4JyFBlYrrBrFiclaUpZ9WmpltAP3+UJODWUUG53TMPPE3vC3d+/KvmhTGJNIG7Ra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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(8, 6))\n", "\n", "e = Ellipse(μ_actual, 2 * np.sqrt(5.991 * var[0]),\n", " 2 * np.sqrt(5.991 * var[1]),\n", " angle=angle)\n", "e.set_alpha(0.5)\n", "e.set_facecolor(blue)\n", "e.set_zorder(10);\n", "ax.add_artist(e);\n", "\n", "e_post = Ellipse(μ_post, 2 * np.sqrt(5.991 * var_post[0]),\n", " 2 * np.sqrt(5.991 * var_post[1]),\n", " angle=angle_post)\n", "e_post.set_alpha(0.5)\n", "e_post.set_facecolor(red)\n", "e_post.set_zorder(10);\n", "ax.add_artist(e_post);\n", "\n", "ax.scatter(x[:, 0], x[:, 1], c='k', alpha=0.05, zorder=11);\n", "\n", "rect = plt.Rectangle((0, 0), 1, 1, fc=blue, alpha=0.5)\n", "rect_post = plt.Rectangle((0, 0), 1, 1, fc=red, alpha=0.5)\n", "ax.legend([rect, rect_post],\n", " ['95% density region',\n", " '95% posterior density region'],\n", " loc=2);" ] } ], "metadata": { "anaconda-cloud": {}, "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.1" }, "latex_envs": { "bibliofile": "biblio.bib", "cite_by": "apalike", "current_citInitial": 1, "eqLabelWithNumbers": true, "eqNumInitial": 0 } }, "nbformat": 4, "nbformat_minor": 1 }