{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Gaussian Process Regression\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's set some setting for this Jupyter Notebook." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "ExecuteTime": { "end_time": "2018-10-10T20:59:45.123293Z", "start_time": "2018-10-10T20:59:45.114851Z" } }, "outputs": [], "source": [ "%matplotlib inline \n", "from warnings import filterwarnings\n", "filterwarnings(\"ignore\")\n", "import os\n", "os.environ['MKL_THREADING_LAYER'] = 'GNU'\n", "os.environ['THEANO_FLAGS'] = 'device=cpu' \n", " \n", "import numpy as np\n", "import pandas as pd\n", "import pymc3 as pm\n", "import seaborn as sns\n", "import matplotlib.pyplot as plt\n", "np.random.seed(12345)\n", "rc = {'xtick.labelsize': 20, 'ytick.labelsize': 20, 'axes.labelsize': 20, 'font.size': 20, \n", " 'legend.fontsize': 12.0, 'axes.titlesize': 10, \"figure.figsize\": [12, 6]}\n", "sns.set(rc = rc)\n", "from IPython.core.interactiveshell import InteractiveShell\n", "InteractiveShell.ast_node_interactivity = \"all\"" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ " Now, let's import the `GaussianProcessRegression` algorithm from the `pymc-learn` package." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "ExecuteTime": { "end_time": "2018-10-10T21:00:14.420875Z", "start_time": "2018-10-10T21:00:14.364847Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Running on pymc-learn v0.0.1.rc0\n" ] } ], "source": [ "import pmlearn\n", "from pmlearn.gaussian_process import GaussianProcessRegressor\n", "print('Running on pymc-learn v{}'.format(pmlearn.__version__))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Step 1: Prepare the data\n", "Generate synthetic data." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "ExecuteTime": { "end_time": "2018-10-10T21:00:39.532381Z", "start_time": "2018-10-10T21:00:35.499078Z" }, "scrolled": false }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "n = 150 # The number of data points\n", "X = np.linspace(start = 0, stop = 10, num = n)[:, None] # The inputs to the GP, they must be arranged as a column vector\n", "\n", "# Define the true covariance function and its parameters\n", "length_scale_true = 1.0\n", "signal_variance_true = 3.0\n", "cov_func = signal_variance_true**2 * pm.gp.cov.ExpQuad(1, length_scale_true)\n", "\n", "# A mean function that is zero everywhere\n", "mean_func = pm.gp.mean.Zero()\n", "\n", "# The latent function values are one sample from a multivariate normal\n", "# Note that we have to call `eval()` because PyMC3 built on top of Theano\n", "f_true = np.random.multivariate_normal(mean_func(X).eval(),\n", " cov_func(X).eval() + 1e-8*np.eye(n), 1).flatten()\n", "\n", "# The observed data is the latent function plus a small amount of Gaussian distributed noise\n", "# The standard deviation of the noise is `sigma`\n", "noise_variance_true = 2.0\n", "y = f_true + noise_variance_true * np.random.randn(n)\n", "\n", "## Plot the data and the unobserved latent function\n", "fig = plt.figure()\n", "ax = fig.gca()\n", "ax.plot(X, f_true, \"dodgerblue\", lw=3, label=\"True f\");\n", "ax.plot(X, y, 'ok', ms=3, label=\"Data\");\n", "ax.set_xlabel(\"X\"); ax.set_ylabel(\"y\"); plt.legend();" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "ExecuteTime": { "end_time": "2018-10-10T21:00:45.913534Z", "start_time": "2018-10-10T21:00:45.897593Z" } }, "outputs": [], "source": [ "from sklearn.model_selection import train_test_split\n", "X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.3)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Step 2: Instantiate a model" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "ExecuteTime": { "end_time": "2018-10-10T21:00:59.974342Z", "start_time": "2018-10-10T21:00:59.971179Z" } }, "outputs": [], "source": [ "model = GaussianProcessRegressor()" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "\u001b[0;31mType:\u001b[0m GaussianProcessRegressor\n", "\u001b[0;31mString form:\u001b[0m GaussianProcessRegressor(kernel=None, prior_mean=None)\n", "\u001b[0;31mFile:\u001b[0m ~/pymc-learn/pmlearn/gaussian_process/gpr.py\n", "\u001b[0;31mDocstring:\u001b[0m \n", "Gaussian Process Regression built using PyMC3.\n", "\n", "Fit a Gaussian process model and estimate model parameters using\n", "MCMC algorithms or Variational Inference algorithms\n", "\n", "Parameters\n", "----------\n", "prior_mean : mean object\n", " The mean specifying the mean function of the GP. If None is passed,\n", " the mean \"pm.gp.mean.Zero()\" is used as default.\n", "\n", "Examples\n", "--------\n", ">>> from sklearn.datasets import make_friedman2\n", ">>> from pmlearn.gaussian_process import GaussianProcessRegressor\n", ">>> from pmlearn.gaussian_process.kernels import DotProduct, WhiteKernel\n", ">>> X, y = make_friedman2(n_samples=500, noise=0, random_state=0)\n", ">>> kernel = DotProduct() + WhiteKernel()\n", ">>> gpr = GaussianProcessRegressor(kernel=kernel).fit(X, y)\n", ">>> gpr.score(X, y) # doctest: +ELLIPSIS\n", "0.3680...\n", ">>> gpr.predict(X[:2,:], return_std=True) # doctest: +ELLIPSIS\n", "(array([653.0..., 592.1...]), array([316.6..., 316.6...]))\n", "\n", "\n", "Reference\n", "----------\n", "Rasmussen and Williams (2006). Gaussian Processes for Machine Learning.\n" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "model?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Step 3: Perform Inference" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "ExecuteTime": { "end_time": "2018-10-10T21:07:50.275451Z", "start_time": "2018-10-10T21:01:06.108096Z" }, "scrolled": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Average Loss = 416.16: 100%|██████████| 1000/1000 [00:02<00:00, 474.85it/s]\n", "Finished [100%]: Average Loss = 415.55\n" ] }, { "data": { "text/plain": [ "GaussianProcessRegressor(kernel=None, prior_mean=None)" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "model.fit(X_train, y_train, inference_args={\"n\": 1000})" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Step 4: Diagnose convergence" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "ExecuteTime": { "end_time": "2018-10-10T21:10:27.949790Z", "start_time": "2018-10-10T21:10:27.599210Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "model.plot_elbo()" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "ExecuteTime": { "end_time": "2018-10-10T21:10:42.274388Z", "start_time": "2018-10-10T21:10:34.544201Z" }, "scrolled": false }, "outputs": [ { "data": { "image/png": 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wkY98hLe97W28/vWv51Of+hT/8R//cRIj1bTVoeMnHFrocu7pa3CdlSEFa/pLnLN1iIcnG7S6MQN9J/bloZp2skRRxAc+8AHuuOMOhBCPu+673vWup/34UkquuOIKyuUyd99996OGlSul2LlzJ7Ztr7pJH8bunyIde4gzX/l8ZCEjSyNkutIg233PbtJc8eLXD4ChyNodnL4+rF94OaR6ig32Xza+ewklFc85dx3WLz1XkmaCOM1ZaIRUy+5K3AdXGqmv/K2jzyiYyZVG6bEa9GmwhJl6KLnSSJYyxzRXmkri8HdqRYcb0r+iZyucnsawbUrr1x+1XIqVRFBk4TH38Zj48pQfTO3CNNcwVOrneSNVLNM4/J0UUsHhjyilEFJgW0+sqZcHAUkUYTguSZxTKNpHvvPPJZkginP6e1cS/DDOMQyD8amUkYECB5eXaIkiqZRs7a8g05TG3CKNnirbhlZ6DfI8RuQ2UAWgteN+AIZ/+xXAymyMPYXKY3q0nqhGJ0aVI4aqKzfZJ5vTK7Fm0aP2KdOUpNGgODr6mL+jUgp+zUkQpEhozT5EwV5DeXQdiZAs+jHtuQ6WYbBmpOfIunPTbVr1gOc8fx2W/ejr/Fi9mlIqFmbbdFoRUqxci+s2Vn+tmI8ml4qJ+x9kwFCMvvIVj7tu1vVo7hvDMRxGfvtC/G4CQBI/+hnIg+2AvoLNUOnRN4pkmq305K1CqzOqXzA2Nsb27dsflSz9os2bN3PJJZfwwAMPnODING112n2gAcDztq151PKXPHcUpWDnvtrJCEvTTopPf/rT3HbbbfT39/OKV7yCQqHA1q1bufDCC1m/fj1KKYaGhvjMZz5zXI7vui6/+7u/S6fT4fOf//yjyr70pS+xb98+Lr300iOvxzieciloH27st2u78ZqTx1xXBj4oSfPeHYg4QSlFMHmQYPIgab6SdOy743vsvfn/onbfD1m++z4CPzmyfb3mM3OoSZ4L9k238MOUMI04UJthbrqFeJzekV+kDic48pfWD715fnT/Xn7wwCzTyz7jc50ndS5+Lg9DlnY+zL6piCCWSHG4YScFadyhvfQQcfDY38w4yfnhzjkOLXSPLMtERjf2jnwODk3hTzxyt1wdI2HvJCGN8JFeHSEVOxYWONhaRinFQxP1Iz04C16NII2Zah9kb8Nj9/Ijx79/scVkQxH5gj11nx/u38N37/4pweFezE6SEWTHnryjdf8DBJMHac50GNs9x/+78272TC8gpKAZthFS8NNdU/xsf40oSiB7dM9f0J4i7k5B1iY53NvR3TvOz+7ayezYAZbDlesj9hcJDvdYKqWYq/ksNUOkXBn+t7c+eaRHSylFGrWQx5h0RClFGGXIw9eJUopaI2D3gcajemyO1nnT2f0w/v4JkqUl4loNmaaH45vD70w9kvQfTpziVJLFj40jzgX3zTXZsb9GEGXkSpJLRRws037gZzR23o1IEiaaPotBTDt+5LzlIme6PcdybeX6jeOVRH3fdIulZsh0e45b77mbxVqLOS86cg4BmvWAVj1kbnrl2pFPsAfs8YgkIY9j0riNkivX60wnYFoI5oXBg/uX2ffTXbQfPPqoriD22RXPMpEc7oE+fN6zXLC00EVKRSYktTBhovXYXlzvwXG6O3+9XunjZdX3MAkhSJLkcdcxDOMpd2Vq2rPN3qmVO6znnProh7tfcMYI8DA79y3zqguOfgNC055tbr/9dkZHR/nud79LuVzmmmuuwXEcbrzxRmAlofrMZz7zK+uZX8f73/9+du7cySc+8QnuvfdezjrrLHbv3s29997Ltm3bjtvsfL9sqj1LkivOW3cOYeDTaRxkW89aLKfMfKtBRbToX3PakedppO+RJjHpWMKuEUWa+PQVHrkrXmvPoxYO4Sqo113cap3n/tbKREyLsx38ToLh+Ew0lnjYMBjY1uah+5qcuWYztm2RWJI8N9i6oUrgJQRBysho78qxhcA83Bun0gQlBHNeRiokW/pKhM0ZQj9FOOtoNcIjvSoAURYx05lnQ986DMDPBI5pULQthJT4XoLfSYh7y4R7xliY7pJ0PRqljP5OG0SKMmzCsE4nCUk686yrjDzqXLa8letlaqHLhopBNDvLWE9EpgQVp0wqU37xibTu2F6S5WWGXvoSTOfRkwHs68xTMVwuPOWFhNMzLB2cYndvAqbJoPVSJiYbLPcXGe4zSZrjFCemyJegceZ64oGVHpNWPaDVimjVchxT4FQEe/e1WONKZmfqnHn6RvY2VpK5n09Y4DUnEHlC/8g5K/uIJDNtQXUoxS9LZuoxidVhdHNKkIYcqO1jubZMb08P9bsmMWbbsO2R57yy9PAwM/FIQiCCgFbLI6PB2ec9up0205knyXK6wcr6M+159s4fpCmbjLj9dJoebiEl6k6TCJfKwOn0VVzyTJDnEgOPB8cXmZrMef4ZI5z53FGEyJGzB1k2WvxkaAvn2xvIFmpMl4bpdTxesOGRHqZGx2dK5Jw1v4jZWsKp9BKtOx3PX6YlQgr+ImqdOpJtTcwmTHbnOeP8tTS78xhRg+qaM1kKcmrNkOXlgCTKCXtipps+I0euSQMlxJEhlEkuj/RwHmzPsOTXaXdg2B3g4N5xNp52Kgv1gIV6AH3zRF3B/okF3C0rQ+yHywVk9kiSKDIfJQvA0Z8JE3kMSmHaxcf0pEklUVLRCWMWmh7Zzp3YVkDxzFHc0gA9/Vvo+A1y6eGbLtKLqY/tJRw2OOe5ZzM5Vqevv3SkZyuIPLy5WbrVXrLOIzcxFmbalEouMgjo/4WetZ97dI/06mzPr/qE6ayzzuLOO++k2WwyOPjYh/ja7TZ33nnnU3qDuqY9G03MtjEMOG1j/6OWnzLay0BvgZ/tW35SD0lr2jPZwsICb3jDGyiXVxoT55xzDt/85jePlF977bV8//vf5xvf+AYXX3zxcYlh48aN3HzzzXzyk5/khz/8Iffddx8jIyP82Z/9Ge94xzvo7e09Lsf9ZbkUtLoxrd6AuQOzhH4bg9twTrmQqdosAwV4TqVFllUQIkUmbXCKRFFIq9Egjjv46RA9ahSFSRCllIGs04XyenKZc+/sz9gysIluJyJPczqtiPBwg9gOU6J2xr5sFntNxIPLk5xS2cbWDb/Fwf11AAp9BRbbXRZv/zGl9RspVvvJxh+mmS1xz/BmegsOg3NT7Nl3iInOAAP9EYGhiPyE/XsXSfKI6c48Pe0yE01FxSrgSUk3ybj8jPUcmGpz4GCDTdUS0webDAlBLYhY9lqURssEnkOehzTsmN1L43TiLo5dZHTducDhYXhphhBdiEMaseLQLXdTMCT1wRyrp4fQNCiuXbvSeE5DvB//lJLvobKErNPFqvYf/g0GKQVSSsThxm9w6BAyzTCjBDOKmWztI/ChPTbO/ukOzTNKFMcn6G041NZvIo1dluZt7r/7EHt6JI0sZdheeXCeJEE1O8hNm6mHTcZqD+Imo2x0XDYM95Al3qOuj/F6hpcm+NJjeHOZ2BNkriJMAsI8Zt9Ug9l6xqjsotxj91QpkZEFHYKgtTKpRe4hY5uo3UXEjzxfNrZ4iLEDbTY1Ogy1Ztn3g4SaW2He9Wg2HsJgJ4On/Q4xMYtBm9AtcsVLtzL20DxK5mxY3yLxmwSqysz8PJY1Rctr4ueC3KsBW/APHGB+coy6WGK5Mo947cVI28SxHObzFhYRC56EhXls0yAdWZmkId03T1LNSJtN8jhGKai3I+Ki4N7pe6kvd7mgegYzU2MUNp1CGMWEcUieryRk8zM5kQlnywxpHZ6JrjVLutRiYsal7Dq84IJNJHnKYiOgXsuZajTZNpqQ5Sm4j53lsOMlVEoO7X0TNOcXKG46HakEUnSQmQ8MHblGJ+f3Uyj2s3FohM7yGAAH1CnIXHHGQIX+ngJ33/7/sGAr3OEXs2/mTnY/4LBNDLG+L2XAzxkwPB6ebOAlHgrF3tRD1BsMJMsU0h7m20tkKdTnW4wMuVilEtHkIWh0sBabtId3IfMqWd8AfpJTKrk0dz1M24WHK+tx3JShbs62s0ZoLe06aZPTPFGrPmG66qqruPbaa3nzm9/MO97xDs4991x6enoIgoBdu3bxuc99jlqtxgc/+MGTHaqmnXRSKg7Mdtg40kPpl15SaxgGLzhjmDvvn2Vq0WPLutU3C42mPd1s26ZSeeSu8ubNm2k0GjQaDYaGVhoYL37xi7nllluOaxxr167lX/7lX47rMY4mjhKW5hqUi4I0Fyx2Q/Z4e3D8JQKg0Uko1hdIvDrtRDGftAjiM0hre2h1a/idIr2lAapBk0ISkw8M0EkDplWJQtuk2rWxTUWQhBSyDmboM5bsY6Hj4+IR5opcDWMbNvnCEq2kSd5JWPQSOhsrtJyBI7EeqnlMkGOHh2h1a2zMYtwz+smNRQ54JfaoOr3FEufUDlLzoGdxmnjZJ+kdQaWCH93zMLGaInEcOPNMxvfXcawCzlARrxYwQZduVyCVIkpXhhsppWgEXTKRMd7wGbB7KBUy9lkWjTBA+iHr/TqTB/+HNb9zIYd+UsesL1Dtm2Y5KTPtDtBoZTyvP2PWzVA52F2PmmehpiPac4eQQ2U2ZD5DlQFq4/vZba5lUMGa/g6mmKDbrvNgu8j56wN8mfBfs/cQWSVe/MAU8/Z+suddSNztMhnuwdp4BuQxvmszl0YM7BujOvRcRFon8RJ6Yh/V26Xb6qfbCclsh9OXxtlf7EMpxfihCeb3LfN/vPpsgqBJTytCTWcMvfhFSBJaLY9S1qU1cBZppCjmXVRnilqaYXm9QD9G3sVXLaRaeW4sFwJ+PnoNiIJlmpM/xnaqVLMqcaJYSmOmfvK/scUG3HX9NLo59zzoUVINkvmDkHqE4zWC09bTjH1MUxL4GQ/vr1PthXaQI8s+tVZIvTXN1MI8qShQiyx+JibZPZ7ygkMJpWELK05JYonyFhCqQidxyBZ9Dro5O8d+wFhucdraM2i069hCUOy1qNUTXMd65DmVwwlsc2qB8MABHJlCKinU5pnsXcCIm5yarqepLJKFLnumDtD2Ddb0VMicNn4a4kaw4LUZHI4QUjC3OE4cRmTBWqQB48sH6CQejZZHngHqcJ2tHjt004tyavUAxzZZqM1i2hZb6ouY9JFPz5DjwobfYjlM2LWwTLe1RKG9l/LZF678UQCRZTz80DzLgybnresQyUWEXybsi6mqNt2sjI/Nw0sGFREyssWgFrbx0jrkEQ0hyeMafT9P7r15ZJqRj9dpxgMM//YriObnQYF9+CZJ5vlMGA6RH2E+vAOmJlgY2szsNoNO7DGiDLYx8kiypCDOEw42pzl1cHWNhFn1CdPv//7v8+53v5sbb7yRv/mbv3lMuWEYvPOd7+Siiy46CdFp2uqy0AiIkvwxvUs/d87WIe68f5a9h5o6YdJ+I2zevJnx8fEjn0899VSUUuzdu5eXv/zlAGRZhud5x9rFM9rE7ntpNCY5JEPcqkWcVEA0qYuIzDBpJTEju/fRKad0hcma0X68xGfvYkpPAgiD5XmFuQ5cKSiYEYvRMov5IP2BpBBIdooKg3hU2xHB4iFICiwtuwi7gXJcot4FBm2FFcXkKqbU7TCTmbRkwrqzc5QQKCVpR21mxxfZZu2ljEcmbfLUJc59DsYJcSHDTAI6swewIw97NobeFHpHsLOcOIPcgExGBJ0Zwm4/JgNUSiYq6zA7fpD5Rg8NuYbET+hJJH3BDItLXYoo6mHO8lKLU4ct4nKJIMwYjGrMjTeRAzale9fhH6gh45SlWovJNadzMI7ptUoUeg0akQ+RQb8rSGsBD7VgQwZd0cbKApajiGBxHclgiQOHmpzef5D1IwndSFDLu/z07jtwwmUcJ6IWxyBSUkOwvNggjz160i7JmEfFs4iKBiEGu7OY/rFDePUWpd4ExwjpsZdpLxcIsgp2GpF3M5Ym9pDSg79Yoykd/uO7Hqecdoi1XYPnujnB1MOkSlJaXqCiBOkiVD2ffqtOrWhiy4jZPKUnCqikB/HSiEQM4GceP/zZNAUHSqWEgrOGTtIl6CZMhR229LosCI9cusRZTLszj1sWdDoZ9RmLPpkwmmV4JGRJimJlQJZU0O6W6fhtzOWYJyZfAAAgAElEQVQlzNBCbrbZvbdC21tELSywr5UzO7yBTAm6UjLrCQYKHQajmNw32D/js74QEji9BP0u/f4yd+x6gEVRxttXZ+jgHD420UhCvRbS2+NidacpS0GS5HQ7OUvjB1nyZthcW0Z2h/CG12G2PQwZMWMsEI+WyMyE0uwkZmThbdxAFng4rS5xXGGpI5nP6iyO38NSt4YMbaQTYMYBtzw8hqNczFCh4n6yuMRc22DNesWh5Wm8tME632b5JxPY607DPPs0ah2f5UM+RkngRYcoLmY4WUK63EQKwUP/+1am/JyFNQI5GTF5zw95waslousQzk0hE4upeJFCo4MwLbxYUU0XcFVKnvYwmfgYdkx1updAQLtbo1OeIUwlRcoEUUAUpywvh/QkHQy1ko0pBXGU4XsJaSixcsmBmsdPxgOiNQkDRYW/tIQRxTQ6bRqtAspxeGi2xfPrPkbcJhFFWjPzzIgu+8fu4tWnBZhGgbNHTj0yzf3JtOoTJoC3v/3t/OEf/iG33nor4+PjdLtdyuUyZ5xxBpdeeunxe3eFpj3DTMy0Adh2jITpjM0rd3P3Tbe46KVbTlRYmnbS/MEf/AGf+cxn+NSnPsWb3/xmzjrrLKrVKl/4whc477zzaDQafO9732PjxqPPqvZMppQk7C5yaDngnrbAGVmiaNicUarRMj3mhcINUrwFj3BNlaIv2D9ZZ3atT9fpYZNrkCVFiC3KucIWinYrYqFSQnR8ZCpRCvzUoBx36P50J8ps0WE9FGxEj8AwItp5m47tk9VTpFCkFuQ5hEGFA2PT3H3om9i2YtZZQxPJ/iWbTYli1l2kPFdnODJYKCQY5YAwUsyaASQRhiFJvQ5JlrOxsZ+CMKitK5NZPn6gmF+0yeOUjfVDWD0pswsLBOkQS7ZDZkcsegO0agcxzQJJklPMYwq1DpPdEaIz1mHFEUy0KXU89jJJbUaw0WhSVRmxF9Aob8IqGeSmot5JWMwyTCMjVgUMkZIbOZnMSZOEZQKqrYQHK3PIVpseb4hF4ZPZHVLVQ1+nRdpo057dhxi0yEs24xst3Iai5UVUuh5OHNJ9qI4jTQaHFHnmkXs1sl17KKUK44z1FOIOkCLKCTLuJTZs/NmDePYScV6irylAONRKLaydVbq1DotrW4zE+1kwShhSkStoeW2Khk+UgDVtUcn7aWwsEWfgxzn9aYAhLfaOH2K5meIWLFrLCUa4ixm/l8xzyO0i+6Im7V6HvlaMF3VYFinuvgYVw2DQHqbtGdRFCVvUWUhKpPUAoy8nzW38WJFZCXnDR7kuxcmHaNd3Yw479NHAaxvMmMOEhRyUwaIKKBkeWSbIuiZziz49FUUzr2BlKX4ikZMeG6I2aa9HhE1qOMzKQbL+Cr5TY27nzzi12WI0T5iem+JQdZE+N8E2I1ruCL6C6lILUYIoWcJPHdrdGYqNNlAiDFM6B3zMzMTwA5bChMCwuf/+e9kcBNQHt9GKDdxCl7WtNpkQ9FDAna3hd3tZUqcytrjEfbUDmJZJMhHQ304Rcc4hS+KFMSq3EXZO0qmDMsnjnJAuPxz7If6efUhbIBKJb5Qo4vCTHZJAljnbENhBl+ZiwN7+AgUH5gOXBXcHrmzje8NkKsUhpNkKSJKAkcElFDFO7mDFAU7Upd2JyYFwMaDoQcnrcnB+ivjHJupAjcgNMZOEvZPTdIMeur0ZZSVASRIZsiBN6rUc21UIMcZ9t7ZZO5zh2yD8nMwQyCDm7h07aPX10kksXr75lJP8a/oMSZgAtmzZwl/8xV+c7DA0bVWbPDxT1Gkbjj616ObRPoquxfh066jlmvZs85a3vIUf/OAHfPazn2XDhg28/vWv50//9E/55Cc/yYte9CKEECilnpX1i8wTEpHT8A1yJQmiMpVSSO7HKCcjSSyCXGGZApUKzPkOHSkJjQDPKiGAzExZkBmbI4MBW1FoCBiGxHQxw4icHIsYO/Ew5xfIyimqbNEs2/RJMGVO1l0mznP8lkusTHIpEdJi0Aux0oAwO0BgjJCc1kscgPQjGrkkdiOENBhaFliGR9URtOMCP/MGWU9KYEjyJKZbb5MIiR3ktJ0MQYfxQwmLjWFUGrG1d5n6skshjolDn6RPosptXHsJUXFYXrOePEnZODmGZWakNZ98IKLhK8JsiG20SWVCJ+pw6nCA2zVZ7IaEIsF0wEAx1i2gshiw8LMBhkuSXIYsxwpfxjhGjJ8WaUUZrorZYC1QFnXagSRzLEZM8BdreCLHbmWkxQKJDYeGEqTXpJrH9GwuQhAShS6x34fImmQqJkqWiM0KxcVZ+vwO7lJI31JENRaEff3MhQZJrwF+hJk7Kz16nRQjByENwnZIvWsQqgoIEzAQucBCglJ0+tYgkcTSpcfrMlPsJa84yHiZYjJDrqrYQYGFh33WV2v0tyOmZT+UJYYhKBQM/EhxIIlYV1H0mRFhVMEgIiwnLJspWWMNy6lD0DBQjoXtljHCnNQ0KbQ8pGmy8dSUSkUy5WyljEFugt126CkIiDyMqgOlKka2jEwMvJmAgwMZgTFIUYRkCkh6MdOMpJMge1xspQhkRGwUWTBsBscbZGlKVDZIhYW3XGHWHsCu1CmSsbYxQ2cgQZouZuDTNbqEuU0xlZhIphea2HmC3XIJw5RJYRMVm4wsJqROP52GQZK2aBHg1BVrqik9KiFKCrhZyGwYMTvVIq5EOBRodTNiITGThKbRIHY9CkYPUjpkuUdvI6fQY5GYMYsPzNJRBVw5D7FNuQi28DnQHEA6gv1uh3I0T7PRh68UfQM2mVvEmlugiUVai3heaRLRYxBX+imXc7IsxzFMQtslNwP6ug2CtECc5jQWmiz7a8lNyYZul6aYYJ1rocyUIjlxmCOFoCdskgU+M1YNu9LHjN1LFCtcI6JNyq4De7HHLYaeM0hPKMGSmDsP0vJGqG9tcI8tdcL0ZERRxOLiImmaHnNGvLPOOusER6Vpq8vU4soUs8cabmeZBts29fPwZIMwzigXnaOup2nPFuVymW984xvcdtttnH322QBHZsq75ZZbKBQKbN++nSuvvPIkR/r0y4RkwQ/xlU2U5wi5MlHDspsTpA7SUEhpUrcT+oWiRQ+ByglUmXLokYsClvRw4l7stEwgVxr3AkVoZkgjI0kNrEpKpbdDU0BS6qVSSqmXfHwro6QMpNFHZR6amUE6kmF5kqqMGJAZfiZYkkXKjUWs9etRHYXl+9RtAyvxyCpDLKxbS2HOJyk5dNsWWexg9w+j+jxC16Q3PUhBzNPOBskMmyyzmV0ukCaKgpmTFBRGkIGQFPszRtwurvSRKiCvDFIuBsy6/TQKFfqShKYoUu8YWKlDJUwwEVQsh9F2G/oNhGEx3Xs6vlmgxxDIXJIYFgUgNy1iSsikQCnp4OSC1CrTm3eJUocsl1QKEaFVRVUKh59dMZBRgB0HKNPCEC5mMoCXtpG2R1Zy6I87mELiZBlxXqTabFBt9hFIi6lyH0Opj6EssjyhbRQJU4dS4hPKKplVRBgWsWni2IpIQGi1iIJ+imaAKOY0k16WfMVgnlN0TJQUCJEzmHZZcEYpFDLW1hexWwEYEe1TTQpOgkoThGgizSKmSMlTwVxQIXdMbKVIIgfDhbhawVQmeVzHFSlhVkaRYiiT2LbxDZtIWihhIN1+cjMmL6UUvZBy7JPaBpYhSPMyfqIwnIwstRFFm14/IctyRNIDwic3S8hUUjEVJWkjLROZO+Spga0EppQUohizZCBtUGoZpyIYtTrEUR/CNskME6dqsKnfxO2YTKphRgtF1rem8YsxWcEFP4RCTqvsMVjwEIliOn6IPitmWG2g5CoaIyFOb0bBkBSjAlZQhDw5/KxOSpIJksjCTlNafYN0Cw2yyjwok2ElcKIiJhlpISJyMqRrIdIYmWWky11Mz6CQC4JThpBuBcxlTApEsU/JcQl9cPrmaUqbrmXTUaOMhnM4QlEaKpPXC0SFXhzVZbSxRKU3InMsZDkFadBKTdxQ0opitswv4kYCEUv8chHhm6jcZLAQYjsOIYvUh2M2Jw5Zs0Ra98AFU+QsluuoOCR3i4jcwbZNLGwMI2BxxCKWdWbnS2wwB6iqlDAaISlXsVoe3YXVcYN31SdMcRzz93//99x6662/8qWDY2NjJygqTVudppc8BvsK9Bx+iePRnLl5gN0HGuyfaXPu6cMnMDpNO/GyLMNxHC655JIjywzD4Oqrr+bqq68+iZEdf5mQ5GmMnRpYuYUQNgrJsmmgcoOClWEIhZ0NIbBxoi61gQqba1MUsxjbzumNQ0gl5mgRmVeQqSJ0miSZhSAlsjMaFZ/BZi9tt8hAGiKUzeDIPB0kieqDUCCMHqLcRdJAGVA0M6ShCOinIWwiIRiqzzLv9jJbTinGvQyWLDJLYqUZlmOQJIpK6GNnCXbWJHF8TMuiX0XYjqRu9JKmIUQ2a+YjpGjhr01YcAMKqp/Q6qVir0xQIGROU4xAqYDMc5S3klB6FAl7fURPiwEvQxQktlAUbIfRUYtiN8FSBkNrDWZiCzPPSa0mSkpMIcAxMKVC2RZDTY+8VMJJu+SWjWXZKFZeg5IaFsIokCcuKm4S2YJU2ihTggG9MdiYOKaDcmyUY2FmAsNQlM0YicVg0yPuW0ve18tUZ5DBqIOTFAkokyVlHNsityWmzJjPKqS5wVDSBRusQoZRiFC5jxIuTtyhx/cYSmcpBWVKFZspu8CyV8W1ayRrqogWlIQEO2HJ7WFD31qSegnDENgC8gwmO/3IUBL3mpRiiaksMtlDZcSiImL64ww3zlChBEeQmza2lDijAtGEcuARJz2UVIyXFzGlANPGsRVJktIQJfZ2i5yOi231oEjJHROVGUhpkOc2ES4pAsN2SQ2bgmGAtCiWcuqUUSJiXSVHlFJCbEIM+isR602Hg0BaKNKtFFnntgmAPjMjynpWEuH+Lk5JUfR94qKJudAgPNVhEEhNAAtpZfRUItzcJCWn0Epxq4rUFCtDDJWLtBV50aZlJFTmUhzlUC/1khZjyF0wJbHfi5tLLKEoBTmmyMiKCbnsoV9JnARK4crQSJVKCoUQ3zDJVAmZpcROEctwCQoxKlY40cqwUNMwwDJZm7dJajZZT44omIysjzEDEMKiXq1STkM6HZ8MizIWFSFQyiJ3I5olBycaxHAUA4WY2HDBzDELDtU8x3JsmrnEiiPyIpguRLZNp+AgfBPDkPQbMSUvxy9D6lTAjVnIesmHBskWBGu8eWqVKnmz+7i/cyfKqk+YPvnJT/Kd73yHwcFBzjvvPHp7e/V0yJp2FGGcsdyKeMGvSIK2Hh6ud3C+qxMm7Vnvwgsv5KKLLmL79u1ccMEFJzucE6rjR8TNjEIoKEmFkbrYBUhyC8/sAzNgIDKwZ5fo90KaxQTX2kpmSUbCNrHZj6nAtQ0UBplVIB2sYBqCoswpuwohBbEjeWDdCANCUoljEsvHCsGqGIROTCgVxdignJYIAKkUSIFILSrFnKioWFvxqIcx0XCCEaUYuSC1bRAm0jBBmDhhxKDfwFJdKk0fR4DnlghTk9BiZZYxw6VSSulVkhYZotSm6RcZcGOasp8SkjWqSbCoME61SS0LARTikL44wsgVYSmnp5BSjgJKJZM0LZEJi1iUEFWBEgIzlBhGTG5FCDNnXdunJwxZWOuSWibSjkiEhakslBBICywrom8xJRso0q16dGKHoaRJIQeR2qS4KJWCYUFuMldcT2YVKKmY2dNPY8NigFXMAIMZo4qfOfRYEkwTijZmCCYmiXDIZQHTNkjKkjSLkXJl/jc7hqJhkWZ9GIaDFdnITDLUWaBYKCHyMpkJvaFHr0gJ8xJGs0A1b+CGLgYWhgnKNCl2AwaFgWuPUlQCQ0YUgoBqvUHubkK4ZUzDQBkWWdFFxSZKGLTzAr7yyHOTkSxn1OgQrB2lpxOQStiwuEQ3cQmyDCkc+qweRnvbtN0Si6KPIa9LbhUpV1NQCe1eHzMtYbge9TSjUCrQ7TOoLjUol3qoDCqCHNRQCcNXJHYBzy1giARJilA9SBRtWaVUSpHlMqkjqQ+txYw8clziuIfUzJmixLquh1Gw8OQwJhKn24/hdDEzyWg3ZMTuItU6lJNQ6XhUkhAnK1IfjkmKHWS4jlIUUU09Cqak2DGZNwdIhUFvJhgqpni4VGOfATPBkwWKZYOyCkmEg0jAtAxM1ySmQo+VEkqT2LWQuYGb5+TuIIlZoAJk0sEyFE6UY+WK1CliWRClKabp0du1MIoCox9MQJh99AqPZTWI79bpODkbW32ItIhpCCxXYkuJYXdxrQSTCOkOsmFqjkoUsq9aZaQ3ws0DUiEIXIVtmnjGAE6aYbodDFHEylOs0GBo2ScZLOEgKFVc+koNUlEntyuMGA6pER/zN+5EWvUJ03e/+11OOeUUbr75Znp6HvuyK03TVswsrczytXn08d/p8vPhelMLq+OujaYdT4ODg3zzm9/kW9/6FuvWrWP79u1ceumlnH766Sc7tONuYamJ60ZgSAxhcepigGNmLI4OYfQkuMsO7bSPgaxLt1jCzCJ60gDcjFA6WJaBUA6FHoPAcGhXhjGCOkUUg0seyjDJTIc4KWObRTByIifHzDL8qIcYA1E0MM2EQiGj4nQZLns0h0yK8ynVMmCW6LdMlgsjxHmX5zWWmShXCfpiitU+XCnxkgTXNjCaDXI3x8jVyqstlUQgMAHDlKTVElgWm+kSb1LIJUXBADs1ENJAYOFLl1gOU8pMyqaLIXJcZWBnJoZTwJJgGhIjN8EAyzKJnAFy36HdLpNUm9SdMoU+B9dtMVhqEgYm69tNpJngphVUwUMWBK7VRRi9GLbANSxMM4eCzUjHx8gE89U1UBQoq4VtRVQChbAKIFfuuEsMkAaRW/7/2XvTYFuusv7/s4bu3vOZz52Sm5BgQIWAICooBQhlAkoESqQQCbxR1BhEoBSwrHIoxYJfgUbEQksgFIMY/gEEwUIIAWSQKQpIggxJbm7ueMY99bCm/4ve+9xz7pybc+85ufSn6mTY3b366dXdez/f9TzrWbQzy2pjikj26OsJ6gs9dmWCfTsuo5sYihCYHkYgM1QkyjJzugAhQI6jahpCQiKh7jNCOiQUkkIN6PqCZFUQRzBsxgTVJZFNhHQMncCFLi7S1Ht1iDxFz/N9McdE7EgiTZFqFoJlYqBomJT5lYMcaF4GKkb4wErfsdxrckUUcEJQKIMQlnYoyJOYIhmSdSYhywmiIKJg0IF+0mJX1mDZejSOul2llUsmbE4x0eby9iLDe1awps3+mYhBZDgsd1KPF2n3B2TKM+h7QqhxZAh7Vu4nKM/dLcXDMkFwgjTV+Cih1obZXTn3mhwkWCQyT4lWDbmeIEsLpk2BDJA365g8QgLT9YJ5bdk30MzlK+iQMJxr0T2sqdcD7VQic8vqIMaogNMpMgiM1MwPChASqSV1hhSmIIpjtNdMd3sM6wojDYoWUXC0e4IiquOlIU0nGHhLLIcUC9AcLNObAOEcPacJStBW5Rw7IQDRYHXuAJM9R5Q1WK4bnAIkTEiHUZpIKqSSOK1IhzF1WzA0EWlQOBHIRR1kimpFDFTBhCto5hkLSZeWcYhC0A1tJoVFJEMS5VgwHaQPNF2X6V5Bw+1nX2cHadFiUQomY8llK12kDazO7WJppUErSKy0aBlQ/jRfcheQbS+YlpeXuf766yuxVFFxBvYdGgum05cL3z3XQivJPYcqwVRx8fPxj3+cu+66i49+9KP8+7//O29729v4h3/4B6666iquu+46fumXfokdO3ZstZnnhcMrKziR0uitMmfaKC0gBqNTdt2foWUT6XrYOIIQmMrrkOVkEaA83aSN7xtsnHJ4YpLEBdrdFWRfknuBlCCCYEcvRUT3YRsRmVWE4DHCsWthiE8kB3dN0ZlLmIwzVkI2ckahH4EJhlAk1ILHCUXcgxkKepHCuTre5SRH95MUmn7cAA9ChlIIBIhlgdAKEcVoFZjuFYhaQq766J0rTAnL7OFFYi+5f65BZEqRF4cWrX1HMR3JwU4HSwutwSaBdmFYYVQQwTUQogtJjvAxysZob8nrEzSjozTSVXYvOYamhk0cXkfEdYPCkrYMPumipWNgNMpDb6pgarGHzxOW+m1Mrul0VjBRg6uynKJewwiBcjleNhDC0+5mTKzkLKoWtVaTXk+jhAMl2Xlwie/tSVDBEXwd07QorVCyoCUdRSOFIw4lAkEnxIlnAFzaO4iyEo8nUYICQa0AX6vj4jbKDcELtPBI56EAaQuQCYrA5MIR7t09ST5oQ1szDEPqB1aJAuSqhdGKQmkUAVzAe1C+YKDaSBZOeFaDgKy9ArU2K9PghwVKxCgAIQlCIK2mMcwwvgYEBnmC8hZpPDVnufxoD506bL5I3OtRqCaDIqLdP8Rwdh6GfYIq0G6AThJsXxDQZcTMC0wh6ClNFltEYWmRUF9M8abNpF1FhYCTAT8S346YxKU0spzaVMBHKcJpjIHVVKLjRSIj8V6TuiZWxTgpcEmXqADfnsb0u+igUMLQGh5goh84tLMNzhK8RAqP0pZgYefhFVwKTDp6l1yKMTFdJNJ53MDj85ymN2TtCD9aUcrKcj0k7yVDVzAdO0RkSUKGXOliOzWkm8c4y0pUABLnBQtFg14aeGS/T3NZs9CcpJASJxRGJSgnUHmAXk48nWKbCUoEpBTEURmRrmlPIyqn0lgEwQd8zdIwniQ+hFNtBnXJpAXpIXjoNRaY60eIAFKANRI/ceopBhcSeeZdtpbLLruMgwcPbrUZFRXbnn2jCNNlZ4gwaSW5dEeLfYd6a6vLV1RczDzykY/k1a9+NZ/85Cf5l3/5F1784hezsrLCG9/4Rp72tKdx/fXX84EPfGCrzdx00mxAcmiVgKAtMqR0SO9IhoaWdgRnONQq08qkgHrdMygUeRGRRjFH6h26jRqDSOP7R1iyBd6BywPSewqv8FIDikh7akVWrqGDpAgRcWGZcSmJhu6KYrXnEfcZUt3BiwgzTCgKwGeEIAiA9RGtgWDXkqdxcAjdMp2nCBLvA7KcBUSviLBe4fxoiFwKdgzuYXLxME4IglQgA5ELI0fXUc8PkNj7y4U8WxHaeTq9LlpFo3VXA1blICWqpdC5oTk8VHrzwLDuGPqYYR5hioMoGaj1HEnXo0QAqQBBQ6Y0xZDcaYIP1KzHWQF4JtIM5Txa5lzS+wG7Fg4ycWRAvhSxYqYweYQroJP2Si9SeqYHXYTyeBFYLQoKtQoJRHGEFymBCC8FqzsvJZoAq3PyqIfA0VhaZpAamr0MlXgK6XDKIXKFch4pPUZEOKkxWlJoTxEtsRA03oF3giIunXIApSCLMjwSJxO69QFuNefhvTvxUR/pHEZIsjjQra1gfGB1oAhe46XhW1LS9Q4hR1MrpCIgMZmE4JkbHqJpc9KoTa7raB3wkSNLDFFeoHKBNo6VxHB/LcMuHqFQBXE8QBLQxlPPS1HuUBAEicmZXznEVLEPozOssvigME5jvSCoQC23mAMNlqxm5+oKc4tH8AQyGeGkYJ6US/0SVkd0ZRPjBN5JjCrvuQ2CyWGBFBYvoGcFw6hAygQf1ShEjNERiXYk0qGIkELiHHghiFkhSnJCA0QmuORAH51DYSUQkMHhs1A+u91F8mIFj0AoT1c3yGVCEQQ+g15eK/vWw2p9abSosEOqAdqX93EYZ/TCBHlUR2noK4ftORZRdHsRxghaKqXQMUIG5vsHyeKMQqcAzK70mFzsM50tcWTgyFOJ8wFTBLAGJwOmkAQX4YXEB8k0Fi1BSbh8qcvu7iraG5RPy+uSAuEcO44eQQSP8JDla+vubjnbXjC95CUv4ROf+ATf+MY3ttqUioptzTjF7tIdpxdMAJft6lAYx6HFwfk2q6JiW3H11Vfzute9js985jO84x3v4KqrruLLX/4yf/zHf7zVpm06g36X4GOGUYMQSeToF3/PkVXqRwxRP6Ux8KAyUDmLdUsR9/Aipyccq/VlvHCIEGgspayEnNRqxuMshTY4qdAilAUPgDCaY2yRFEQUTqGNZ6K3TLu3QCPLCR6EiiGA9g6PJY+GoMTIOxIEZWl3UyaP9ElNTCEUwnsCHuclAUgRWFc6rCZSoAucKujqlDg31LOCHUfSNY9rcjCkPezSayzQrB1mxRsOOEc/y0jbR3CidCZ1BHU7RJt1haZCKdWGLmLqUJ+ZA+Wad8lQMWi2sVoi44iOL5hb7hJcQAo7OnVA+YBRCQ1TLs6q8UTCEYTAiIjOIKWXlIu2AkQDw4wdEiuHFAGnc4we4IVBCI+pQxYP8MLjJdhE4GRBwGNVGVVwwqFWV8gKhQ0xmUjIowQRJMo6rIxwWhFEIBAYJgNMY4D0hpWo/MwKRSI9RmvwoKQnhIAIAuEFEz3Dw3vfR0kQSuBmV9EzBU4a8AGdHUYWBp8KjLLsOLiMtRoZSVQUUNoTgsCkEYnTtJxhZqlHQNIZDtmxvEyo9zCR4G6tGMYWqwSFjqmnBYKAchCEQQWPsgKCR8eOEKkyEukDpa4pXwAvJTuOZEAZpZQEQiiLTxQioIeO1MYcGnqszHC6h8ZidIwXijSqY6zC4xjWCw7Vh3zLNIlFeWeVDSR5we7BKrW+JVCmd84vdWmkOVODPiFOSHOJKcoUu7BOFswfXl07hvJ1oAytlul1AIVL8TrCtjxGFQgcVluUk8wvD2inKSp48LocJNEGrR1+qEdPpMQYjTWCIpc4SuFWRBEGh/UOQsARiFSBUINR31kCAmslWoCTEb6vyXONzQVFkESDjOA8xkgwBgg08px6UdoXlCROJE3pmckyEptRPl6CnUdXyqUehCYAQ9FjoE++TMqFZtun5Gmtueqqq/i1X/s1nvCEJ3D55ZcTxyeG54QQvOY1r9kCCysqtgf7DveYnajRrJ+5VPjDdnW4HbjnYPCoXyIAACAASURBVJc9c1W6a8UPD2ma8ulPf5qPf/zjfP7zn2c4HNLpdLj22mu32rRNJzu0gpVtvM/wUq85WwFNN44RQdIZZARROkI55XeHlwUiEgytwkdDhCjnDAXAiGMTCgRhrUUCKAtGAg6cjrBRQuED0/f18HKA0QCSVpqWaXUjPSJCIAiPAIyK1z4b44Mo83MICA9eijXRJoiwQiBHjq9WngXb5rKlo8yEFCdjRkPsI0YxMN+lkAIBFGZArCKcLCCMHLfvHcXYjWPKViquOFCmkxkriFZzrNI45ylaEqUkrTRDhkArHSAij0Nh/dj5lTSLoox+MXI+fcRYJnlpjl1zFDG92kf5gFZlShujPpKqvBvjtCsZAl4KRHPIynLYMBSeUwAK6WHXQlmeWfrSOQ5C4IRGBsFoiJ/CilG/ghOKgMCJotQdWuNtIKAQpTlM9AaIkCAII7ugG1kICZPdAZNmSL27n++0rkTWckKAAgWFIMQQRHnMRG9IkkRIIciN4rIDR2G0rbyeQK0IpUCMy8/bw7I8t1IxTpWSw1iBVwOc9MRoRGTBRLRqnqIoj3Ny42/k3qNLLMw00eYgkYmxoeyLHfcfLstiY7FRl7hoIXXAO1kKdz1Aek9z6FmcaGGibvmsUuq0yAucjFC+vK/1vKCel2I2co5l2Vp7zn002m98zQHyRowUFgg4VaypaREEaSHomGWGtZwgJCpsjMO0TcEw1CHARDFkWIvpDHOCFGvvHaHsMxE8XtrxhzjZI9h9GN1BhICTMXEoKNAjGwIuCBQeN36Wg0R7IFI0h55C1omlxRrBdL9HZ5hhdfluByFwo++jenBYmZSpl4B2nkGtLBQCMNkfslxsj0yYbS+Y1ougL37xi3zxi1886X7nIpgOHz7Ms571LG688UZe+tKXPhgzKyq2lH5qWFzNeNwj5s9q/8vWFX742at3n0/TKiq2nKIouP322/nYxz7GZz7zGbIsI4oinvKUp3DdddfxlKc85aQDcQ91hr2cVhjLpGN4qQCHCOUipeL4HUJAiMB83kNpz+lW9BBh7CiXXnocHASHqkt032MY9eu6c8yu9MvBfTH27M/kEJ2YlGNVjAqunOvgj+1RWEVUWBACL9TatYmRqINApz/AZ4EQSsG05+jy6FqOPQPHiyUAbUuRIkYCrLM4wEeCwgqUCoAYidKxjCytyq0u1cXIEiFKW0qBVMd5cYo+ECR5OUI/jg6ecK+AHYsrpElMki1h5DjSF+j5AufUWltjfBTh3boAxlpqdikUGFnTj8GrUYUyLwhKkKlycV7lj4nQMLo2j6BvY5wo5wVNDNJyHdzWMnHrIAJfSuwAIKnnxwSi9p5WmgOMoobH+nE9QUi8MjBysYNUcFz/yVDeC6cMShqccKN9To4IgsSAdoG55WEZNVWBgNtwb6zOkSKUxTiCGGdq0kozWmlGJpK1NqfTJVBlNOtkrnYzyykijQgBP1Iwa0IujLvcrWlfp471VQBmVvs4GcpIVAhlOfp1jIXZ7qMrKO85MDNZXuuGbiivzUTpqNXRoARlyp2yvbU9CxUfd9yxaFdp1PqGJSBxUhN7y8RwWNo5PnrdYMj4XSCEtQeyjHiKtfZzuT3mW297wfSud73rvLQ7GAy48cYb6ff756X9iooLyX2Hzq5C3phxpbx7qkp5FRc5r3rVq7j99tsZDocAPP7xj+e6667j2muvpdM5fYGUhzqhGNAdBtDhJJLj1MiRQ9MZDMjWHdkajh2rYwjCBj0jZYBEMbfS47SEY+l7pxdMp7bc6dpo+8Z9di8cW+gyCHfC9laaEwB5nPpw6yI8J7Np1+LKWrGJMbnZKKzWIgZClilRxww56fV4YbH21NdYK8wpt41p5AWNkYO83nxzqnYlaAnWhZFFY5vVht282timgLWIAkA7zVAhrO1X6BMHHexIqCiXsWNp9YzXsuFkJ8GqcXRoHC1S6OPEwpjx/VTa0c38KT1eJQNTvcFae+sJ68S43/B8iA2OP4DWI+HoBU1xbO69P65NKCMp43fERKdLjQ/H/bu0Z6o3wMkYGU5+7WPGwnbHcpdTvWflO3LccXYsoM7ASPyeCid1KZ+kZyzITkTiPGh1cvusP/0arBeKbS+YfuqnfmrT27z//vu58cYb+d///d9Nb7uiYivYd7gUPnvPYv4SwHSnRrOm1yrrVVRcrPzbv/0bV155Jddddx3Pfvaz2b37hyeimhAY6FOvYbLRATwzU73hWe9bMw+s7XPj3KaDx9aOUvyOb+7MqT9OKtbCPSdwvABb72KJk+5morPv083meAc1nGGNSyk37j//AATQ3sOLZ29Yac0D3P/0WH1u/Xy8KIJRVIRjAwvHc3w/nStjAXYq3HGC9niSdWJ7fUQQxs/mCaHldf99tu9W+S5cfvDohk/Xn+9c+mN99CrNt4dU2R5WnAXWWj7/+c9z1113sbq6yh/8wR/wne98h2azySWXXHLW7bzzne/kpptuIssyfuZnfoYvfelL59HqiooLw74HGGESQrB3Z4fv7FvGWEekTxwBq6i4GLj11lv5sR/7sa02Y0vw4lQjuufG8U5XyQOLXp0PZAinteLEpEQ46aWcNVt9xRVbiTpFJGS7sWtx5aSfe6lOGvXarpwigHjB2fZV8gD+67/+i2c84xn81m/9Fm9+85t5xzveAZTra1xzzTX80z/901m39a53vYs9e/bw7ne/m1/+5V8+XyZXVFxQxoLpbCrkjdm7s433gf1HqrTUiouXH1axBJCKh45T9GA5mSiqqKg4kY2Rz+3Pdlm4dtsLpjvvvJPf/M3fJE1TXvayl/ELv/ALa9se+9jHMjs7y//7f/+P22677aza+9M//VM+9KEP8bjHPe58mVxRccHZd7jL3FSdRu3MFfLGjKNR91ZpeRUVFyVD99ByjCoqKiq2K9teMN10000kScKtt97KK17xCq666qq1bU996lO55ZZbmJiYWIs6nYknP/nJKPXDM+pWcfHTGxYsdfOznr805rId5YT3fYeqwg8VFRcjwVRRl4qKioc2jVH1xK1m2wumr33ta1x77bXs2bPnpNvn5+d55jOfyXe/+90LbFlFxfbg2PylB1bxa++u9objKyoqzh/WWt75znfyrGc9i6uvvpqnP/3p/N3f/R3mghRHqKioqHhoMr+yPQZ1t71gyvOcRqNx2n2UUuT59lCgFRUXmnGE6LKzLPgwZrKV0G7ElWCqqLgA/Nmf/Rmvf/3rmZyc5Prrr2fHjh3cdNNNvOpVrzp/J932v/AVFRUVDw22fYLzlVdeyec//3m898iTlPI0xvCf//mfPOxhD9sC6yoqtp4HWiFvTFkpr823714kKyy1eNt/HVRUbArD4fCMA3Gbyde//nXe//73c8011/A3f/M3CCEIIfCa17yGD33oQ3z605/maU972uafWAbYJhOmKyoqKh7KbPvxp+c///l897vf5TWveQ3Ly8sbti0uLvLqV7+ae++9l+c973lbZGFFxday7/CoQt78AxNMUEalQqCqlFdxURNC4H3vex/Pf/7zefSjH81P/uRPAvDud7+b1772tSwsLJzX87/nPe8B4Hd/93cRo7VuhBC88pWvRAjBLbfccn5OLCq1VFFRUbEZbPsh5Re+8IXccccd/Ou//isf+chHSJIEgJ//+Z/n0KFDeO95xjOewYte9KIttrSiYmvYd6jHjukGteSBv87jeU/7DvV4+CWTm21aRcWWY63ld37nd/jc5z6H1ppms8nqarng5v79+/ngBz/I1772Nf75n/+Z6enp82LDV7/6VaampjYULQLYsWMHl19+OV/5ylfOy3ldcOel3YqKioofNrZ9hAngDW94A29+85t50pOeRL1eRylFv9/n8Y9/PH/5l3/JW97ylrVRu4qKHyZW+zkr/fwBp+ONGR9XVcqruFh5+9vfzmc/+1le+tKX8uUvf3nD4NqrX/1qbrzxRvbt28fb3va283L+oig4dOgQe/fuPen2PXv20O12WVpa2vRz+6iKMFVUVFRsBts+wjTmmc98Js985jO32oyKim3FeP7SZQ+wQt6YcSnyai2miouV8bp7f/iHfwiwYXBNa80NN9zAV77yFW6//XZe+9rXbvr5V1ZWAGi3Tz6oMf681+udtwhXRUVFRcWD4yERYaqoqDg5955jhbwxE62EyXayNg+qouJi47777lubs3QqHvWoR3Ho0KHzcn5rLQBxHJ90+/jz81Hp1VeJFxUVFRWbwraPMD33uc89q/2EENx6660PqO3nPe95VbGIioc057oG03r27mjzje8tkOaW+jnMg6qo2M50Oh3uv//+0+6zb9++U0aAHiy1Wg3glOstFUUBQL1e3/RzS1Gt8VRRUVGxGWx77+jOO+884z67d++m0zl3h7Gi4qHKvYe6SAGXzLfOuY29O0vBdN/hHlftndpE6yoqtp4nPvGJfOITn+DOO+/kR3/0R0/Y/t///d/cdtttXHvttefl/K1WCykl/f7JK1H2euWgx/kQbFqFTW+zoqKi4oeRbS+Y7rrrrpN+nmUZ+/bt4+///u/5xje+cd4m7FZUbFdCCOw71GPXbIs4UufczmVrlfK6lWCquOh4+ctfzu23384LX/hCfuVXfoV7770XgA9+8IN885vf5AMf+ABxHPPbv/3b5+X8cRyze/du9u/ff9Lt+/fvZ3p6msnJza9SKWRVJa+ioqJiM3jIzmGq1WpcddVVvOlNb6LdbvPGN75xq02qqLigLHUz+qk55wp5Y8bHV4UfKi5G9u7dy80338yll17Ku9/9bj73uc8RQuB1r3sd733ve5mfn+cf//EfufLKK8+bDY9//OM5evQod99994bPDx8+zD333MNjHvOY83LepBJMFRUVFZvCto8wnQkhBD/7sz/LBz7wga02paLigvJgK+SNWb8WU0XFxciP//iP85GPfIT/+Z//4Vvf+ha9Xo9Go8EjHvEInvCEJyDl+R07fM5znsOHP/xh3vzmN/PXf/3XSCkJIfCmN70JgBe84AXn5byqWri2oqKiYlN4yAsmKKsgjSfOVlT8sDCOCF2268FFmFr1iJmJWrUWU8VFz2Me85jzFs05HU960pN41rOexcc+9jFe8IIX8NM//dPccccdfPWrX+Waa67hqU996vk5caWXKioqKjaFbS+YTjWHKYTAcDjk9ttv55Of/CRPfOITL7BlFRVby1jgjNdSejDs3dHmjv87Sj81tOrRg26vomKr+NSnPnXOxz796U/fREs28oY3vIGHP/zhfPCDH+Tmm29m9+7dvPzlL+c3fuM3zt/C6w/ZpPuKioqK7cW2F0zPec5zTvtjEkKgXq/zyle+8gJaVVGx9ew71EMrwe65c6+QN+Zhuye44/+OcveBVR595ewmWFdRsTXccMMND1iAhBAQQpxVVdZzJYoibrjhBm644Ybzdo4TEJViqqioqNgMHtKCKYoirrjiCp797GczMzNzgS2rqNg6nPPcfbDLpTvaaPXgnaIr9kwA8IP7K8FU8dDmXATTxUoAzmdPOC9QsipdXlFRcfGz7QXTX/3VX221CRUV2479R/oUxvHwSzanFPF6wVRR8VDmxhtv3GoTtg3WQnzeWheEh4hWEl4Rzrpi4PmWmRceLyWEgNzkG2aUInIXVyXGbqOODIFWmj2odoIQiAv6ggjKZ3d7cy5vlzr3VVM2lW0vmCoqKk7ke/tXALhykwTT7rkWtVjx/VG7FRUXI3fccQd33XUXvV6PqakpHvOYx3DVVVdttVnnjV5QTAqJCseqP5zcyd3obAUE4iydr4DAKnmWjvOJTp0X4pSO/KHpCXYuPbhBHGVreGnObudxVcEAIPBSIv2DqJxx/OVukU9bXo7gTApXyYDzAuvEqRc9XncN989Pc/nBo2vHnY7TtrkpnK0rfvr9eo0aE4MUOP2zeSa8EKh1xzopUQ/mWTpHRAiEdRH3Q7unKJxk7+HFUx4jfbThndnYY6d/iJWt4fTJxWb5veJ5IJIpCEGit0dq8bYXTNdff/05HSeE4Oabb95kayoqtgffH0WCrrxkYlPaU1LwsN0TfGffMrlxJA9iIdyKiu3GF77wBf7kT/6E++67DyjnLEH5O/GoRz2KP//zP+eRj3zkVpp4XmiEGrkvqCMQorzmItLE1m5wopSLcOpsKs2WzpIInshoClk6NE5Jjkx12LOwjHIxThnOrAzGjtdGB0zZFk73OTAzSRFHa7sqZ3HymMuy3kkPgBLgjzvl8SP8SeTJzdj5Gl9/uU+3UaOTDscHAgGPQp7GQfRBIEf9WtqocdJyZKrD/HJZlCfRntyW54xUwNgHNr5urUTrEx1tERRCOUofvLRRilKYSBk2dOt6p/l0aZSx9hgnsVYivSsjU+sIAiSecIZqIjI4vBj/hnhAlgc/aLUoWJhoMbva5XinW3qHCREiEiORe+x8J5NIAYGz4oS+PbafJwi9JjKtFSjF2ns07s/1z5i1kppIsSo5wXLtDQGFtZKl2RbzKw+8Kq1WgWAsTkbkkSYx9gSrj79G7QoyEmxDM0xinFL4IDg4M8muxVW8p3xe1hG7OsHVyaPSxoOzU+xeWOHY/Tv1vZRBcuahk/F9kaccmImLNlanWLVR8G0l214w7d+/nzRNWV5eBsoFazudDisrK2ulxIUQaz+AY6oc9oqLme/dt4IciZzN4oo9E9x5zxL3Huxy1d6pTWu3omIr+frXv87LXvYyQgg8+9nP5uqrr2Z2dpZer8fXv/51PvrRj/KSl7yE973vfVxxxRVbbe6mMu0FCy6A8ohwzMlT3hIApyK8FCgP2tY4MK+YX0hBns4xEuzfMcXMikH3NFYNQYCN5dq+pZPv1tKSlE1wOj/BPhHG/zjWtgzxBodL+hpCDlDBgS1dLKM1UoLzx46LkDhpsb60o9eoM91dIbKQxhqtwgmO4fjYlkxZStqQrvt4tOtAxTRdjvdjITIWACe2pF0d6RxOKlbbDdrDDC09Rvq145VkJPQ2uvFpLaKelaP67rjoxPH7lmZIdFKQF+rYPsLjg16TM71mndYwQwWLFTFKxlhr0ZEnUp50dGwQgiTxyAC+oSEPKG/wMmGp3WRudRWjY7wISE/ZB0ES60C9HmHyY2JbyYCwFj8qOJInmoNT01yybxU4TsgIUT6XsNFxHrV/MgbNmNnVY/0hPThZHu+CQI/6LTZN8miAIIzaXh8jESMBB0cnOxit2L2wfGy78BAC4bib7Nwx0bTabCAINIZtamYJp+zaObQziCBLwTVqQxCQ1mBJUC3BwXiKXUeWy2PWIpsb/daldpPp3mCtzyLlKUwZvTo4O8XD9x/AC4mXGjkaMFDO4FQ50OCEJKYUTodmJhECNAExalGMr1UcO7dyMaaQZXsKpIRCj5+x8fdHhMGM3ie/1lqkA21t6XmBGY9erBfulAMRQozu+VhEj78DRjZEpoESEFwNqzIiGid9Fi402yPOdRre85730Gq1eOxjH8v73vc+7rjjDj772c/yjW98gw9/+MM8+clPptPpcMstt/CVr3xl7e/LX/7yVpteUXFecD7wgwOr7N3R3tRIUDWPqeJi5G//9m/RWvPe976XN7zhDfz6r/861157Lc9//vN5/etfz80330yaptx0001bbeqmU+/MofKCWKQ4Cb1aMhpcFGtpZ1kU4ZxAUKM1bDNI5gkeQu42RmgC2FF0ppUY9KWeJCr/3ykJEqRwlA5UwFpBEOUfQlErWqNmSqcoi2OWO+srfAYWJo8twl1PPNK3EaGGGEko6aGRxwQv0NKvpXgFIZAo7NjvkoJuu5y9JUJpQ6Q9NZMydvrGVxa8wOUBGY/SCy10mwn1uDznoU6H+9pT+LWUM4EKxZpN6xEIVFDkQtJtNpAqIKMGw92KRBhqNkNK0OuE2+GZNnksWZhqksUSqwSDRp31EsK6sXvrEbiRo3kM6SXaKRIXRk6nQCBYnOwQFRMQQLmCDimRLh1vgMZohltAEKTAKsHiXEwqyxbySNFtNzb0FyNLxpGq1bk5EA4VDJFP8VNDIgpUMNy3a4rVnQ0a0qCLJgBGy/K5WOcseynWufFAITbMAbJBorwdbR5Fz0aLjClv0N4ivF3rM21riCDQeJq6wBkHWrDSbq67iIBwBV4KopZA2xoAkfI468jEsd9W6RVypM6dk2hvECKiV3s4S5OzdOvzaz3UVgYRPEKEtUhct90iiEARYpABW9PU2wHZLoW3BLwSSH8sDe7wVAeTSAqt1iKntr2zfHWFACEY7I45MD+5dk+UrSGDxzRAilLYpegyCmx1qc1wxObYyEBDZev6FLACETw4z1Ktxf65qTKdc60zQPoWTkbH7tcILcs+mpR1aq7BSnw5AF5IBklSRizXBm0ckWkggCSyG1pSQSOEQAVNbCbomBMHW7aCbS+Y/uIv/gKlFO9617v4iZ/4iQ2Ro0c84hG89a1vZceOHbzlLW+h3W5v+KuouBjZf6RHXrg1gbNZVIKp4mLkm9/8Jtdeey1XX331Sbc/7nGP45prruFLX/rSBbbs/NOZn+fATAPTEizMt1mY7BA8xDYiNjUgcDRuYoPgfj2LRJHHUyg7QZLXKZTG+1CmeWXHUpeaLiEKHilBComNIohLIaCwaOEJoyDMfXPTeOFLxyivAyBD4MhMh9VWgzzWLLXr7J+fpIg6CAmRz2n5Po0mHJjbQ5qUI+ba6FKUeIsPnjgqU5KCgDyOsDZA7pHeop1jOZpmSnqSBHIty1RCaxjFGLBWovLSDQodjRQSfJ2JIKknksOTDYIE7TsIPCGAc6CDRSBxUq45+t1WHesD2cCxrOvkUcL987Mc3TNDUbNYAmmhCKnFO8E4cSmrRRyancRLiZelky5E6WTKoIizJgSIrEGFQNsNRn7qxlkliZXMuQFalNGTLIlHlsm1BChBYH0GmvYxIYiyf8PoSrzHiZiAICk6tBPDcrvBWBB4JRFyHJ2AmPKeBh+4f76Nq0tq2qC8pWZS2j7DDQJyFDHqNuo4V0ZrtCzDS71GwuHpDsbsoMimEWmMCAWRMxAEwQnqiSWfr1HTZQrpKDyJCCC9L/3wML6uCIFgz5EuemAQ3mMnIxY77dGdB+kTaoOYem7Ym1pM1CYyDYjLDpKiFBHSR7RzgQgWq2Cl3kIUjnorBwHDEOjXWxi1g0PNy6nLJqWwHad1CnrNGFvUCUUDEWv6LsYYwf7GFArWAohKepQLHJqfYpjUEQSabYty5XM+bJUDCkuTDWpxgZIS6cuDWyJiYWo3+3dMMWjXWNrTHqVeBoxWyABqpIsm85i6HdIKGZEdixFRppj68l2TBIyZQ9TWDcoGQEhMFCF8jHeScXTJqtrouPI+x0JSaI0MTbwQ9Jp1XBAYIcq5Yc7gUGUu7SAnNjlHpjuIUJ4vkabswQCcYX7chWLbC6YvfOELPP3pTyeOT17rJ4oinvjEJ1YRpYofGr599xIAj7x8elPbvWxnh0hLvnPv8pl3rqh4iBBFEc1m87T7tFqtE9K6Lwam5jpkNc3h6Rat2NJKLC4InPVoJFpIMh1zz+weijgZBydYau1EBElf7MI7h7ce5xUIReKmiFQLZXOSTNCgAfWMqFmQzWuyjuR7l+2BWKC8ptCKgCIfBEDS8BlJXuCMxEvJgdkZui1J7GZRYhInPFJYZJQy6z1TIWNxuoxEWa8QXoINqGEXjQE8352Z5/uTO1HBgvWQOaz3ZPkExWQbLQIKSapqaCdR3uG9LFOUbIPVTh2jJELVqXnFZLPANwV9GZFkA3b2j+BihXUSPQDXj/EOwjhtTHiO1urcPTPP1/ZegnAxAYlTEXPpKkkO2oADklwTpSlBCrxSWK0IhLUIh1Sgk9IRDaFGkAqdJbRUUQrSlmbYnkfbBFuoUfQpoLygGTRSxAwm9rDSuAxtZllX7wMPNPo5eaEoCoXJBQfbHQ7PTXD39Cz3Tk8iV6dYmKiRNjTLE5PUlGSlnnB0qsX987vRrkWUBGLp6Zi0FAYBjBU4B/1YY6IYEaCdtghWI3NTihoPNeVIdKDpBsSxQ+LoNhukSZ2F2Z3kuhQ7ia3h1LFkOqMV1DUijuhIRWzq1Ez5XqdJzNLuGiYpZ5kMmjVCPkQ4BdYhQoQEIp+UfaU8+CY9McmeItAyjrSecGB2D6hSfI/nqyRmiDIp2lh6E02WWg3un24jdY71Kcb10KJPf7KDSeYo2m2MblDEcenwC6jlU0RFk0RqBDEixJDuKLMOpcUGiQ8OHee0QoaLwAiJFxDHoHBELmfaD7h/9yRZ09MouqhgCMZRy2NEUcOrgI/BRoqiEZNP1IhlgRoIkkFG8KCVJDIRIgScgWA9zgm8k5igKCIFyhJEIJKCnXYFgUR6RaTKaODC1ByIOmR1jPPENmenN7R8ExUkw0YLnVhoaEJQCCCSAVEcm1NG6HB35+FrwatakSBDG6NnKHJBYtYXnbjwxTJOxrYXTLVajXvuuee0+/zf//3fGX8QKyouFr59d1nd5scftrmCKdKSH7l0knsOrjLMzrKqVEXFNucXf/EX+chHPsL+/ftPuv3o0aP8x3/8B9dcc80Ftuz8E3U61KwgETA57BAhWGo36NUTCJC4GnHWRtkEPxqpVlhWaxMcmNqB9zWOTDSRBJTwxC4BIQgC4gCqMCQ5zJqMORLszBS9ZkwhPD+4dJ6FS6+kls/jnEIQqKmCpsrQOCbinDL+UTr8U7MDEp2zf+duelMtZF+QuCGzjT7BSo42mjijGKYRq/ku8loD3WiysLONlZKaF2jvadqYoga6GBLVHRKBxBM7i1aKsBITDzRkDiMk0lsgYIYFq5fs4uDcLpLI0leK4ANWK0QCsR8SuQwXNH3V4GCziVCaKATSOEYjRmJOlSlNIhBEQFjHlM9p4GmkdWpW0p1oo4oBdZ0zLwseXiwzIxvUTEQsh3ihkK6GdAmIwHJz8kYezQAAIABJREFUGtVoQ7tNPe7QoiCxFuU1sfaoyFHXhhAE0k2SJzN41UZIveblHZybIM9rRCYuozbA4R27kXIHoTAMRUzmJukNAkSGQ3MdBvUORiUMkwgTCRqhgQ4RkZDUraVe5EghKLTGKUV3JAK9kmS1hMFqhPlBm+llyWW9fUyalGYoWJhslNGzkJPXZkeZdgIR1VAtQS7q1JwnUo5iFCETQqCDAymxiaIZe2oUBFPO5xJW0FcR363Nstp05FITAvjgKRQMYoHLJ/AOEuWItCChQDc8RRQRx0PSOEKhMUnE0s4JGlGgpXJqyRAXaZbYQTvvImTK0X5Etz+k8BavPIkriGzB3WEPvU4Hj8P5QK02TW1vTIxBi4C0XaRIcJEj2AWUyVHWQMiR3lNTBTUXYZwgSBA1QaQSfFuDj5E6EOOZz6HuUrwL+DxGBU+rVtDQMY1awVyxhGsoVuqKxbhB80iMdWClJovKyFOwgslhWXghiPFcK/DacXBuF9oZJKPUXF+m+A0um6Q5m5QRQ6+QPY3qxTSUYTA9RTbdZGnPLAt76vQmDanVuCBxImIwdcxPn5XQjCUChRYOBLRSKFQNJxNib0hsRmxzujs3N5vmXNn2gunnfu7nuO2227j11ltP2Oac421vextf+tKXuPbaa7fAuoqKC8+3f7BIuxFz6Y7NTzv90cun8YEqylRx0fCrv/qr7Nmzh+c+97ncdNNNfPGLX+T73/8+3/72t3n/+9/Pi170Ioqi4HGPexyf+tSnNvw91Nl7yQytLGbPsEPbSiKv8Uqy0JkBAtoF6mmMysDlhiNFg8W4TVZXTNQNxkuWag0OdKYRtkmTIYNmg6bzzPs6oVVHO0871Ak+xkd1Cg1gwefk0oOEgWhQFznN3mGMdQwbEQQ7ckACrUY5p0KHAp/k1HxC6Gr2ryRINcQLgfXlBHrvoduZ4PD8NCopUE1BLbaoRNMhZyodktYFKAtKsNBrkBtNGBji7oCjtRkGWYtMRQyjmCg4BJakGDCZHGJyp+N/m/N833fo+JyG0eTtxijFyiG9oJ+0sJ2C+zozLNWb9FpNmtqTxJbmTB8vATx12aApu3iv8EGW83WQCBmjjMSYCKMU7W6XR7gfMNvpob1HSYsiKZ1VDJmUZP0aYWIKqRXWKsgtzf4ATUZUt9S1K6vYZUNkyGnYslCGkAHrNWkRszBzBf3O/KgAiMOqIZGSCFM6zLmEPF5kNsCMaCCCYCnfSxYiop5GBei1J6j7FJkbhr0IHQQSjVEKMdCYg4bFPS3MjGaGHo0sxcg6eVOjo0Dsc2pxIGpYTLCoUN5XU0jq2ZCg6kQ6ICJQIqDckJAYChmTuAxhPZExTJrDRGYIymMdOFNDiYyQ1UGB8rDk29w5vYfFdoPVlsU5y6F6gjeCwkYoZ+mnGiEtMzsH1NseNDSVod5o0J1oMUjmmAqOeq4xTrIQPQxv9+DkToKQZGhslLJqNEm0zM7h/UzmrowcBsFC3GE11OjLhMg5nJpA9S1xDo0sYrmV4L1C0sDriFwr+rKFHniwsIzgvrlLUPOXspRNkQtJrjwz0qJwSJ/RsAOirOAKd4g9ExmRhhgHieDwTI3VScVKpyCd0gzrTbIkIozyKhteo5njQOtSgo/LuUNJBlEP3YkxSSloRBA0Q0I7mkdJ8B6EKtM8hZVIAoN2k/7EBF4KTN0RdCmERkmOZPXAcrtWHuMh7uYI6whBMBGlNFVOUgsIJYi1xXRqqDqwTar2bvsqeb//+7/PF77wBf7oj/6It7/97Tz60Y+m0Whw9OhRvvWtb3HgwAF+5Ed+hFe84hVbbWpFxXnn6HLKkeWUn/7xneelEuSPPWyG/+/T3+POe5b4iUfMb3r7FRUXmuuuu26tkupb3/rWE96bcSrea1/72g2fCSG48847L6itm02kBDtCoFhu04kHzBxQLIkEkUSsdjo0tCTu5cQyJU88MlH09CRRHBCTLbQTiCAQwtNttAjTCb6tSNqefLnJQpggVZor1D1EBHpOIoVC2QFaaoroXtziFcjGPFOH/hebWPpxQkgMjZBh80tJowWWnaCjAzpkJN6NihR4lmWL3CzgkgSjPSIYPIJiJifJ+kRSstsYhsyipnuYyTpFsYKOJYmOmKKHVE0iUVBoRb/RJq+1WAizrM6t0MIxP8gZak/dCpxzqOARUhEcaK+4RDs6ccFwNI9FkSP1Kj+wGcJarFO0Bz0GUZsZ4ShsDRNych9jFRwdTjLo9ZmSHqIIhERjqQlPimQlr5FN1tnZtBQLhozAjDmCDjO4IFlVminvUEqSNMCZmFUbU/OK2DWxYkCTGBNLYmdYmZhkglXS0KRwNQSCpm0wHdpE9RZH59pMdBfJa4qJ7ncxYSf9SUvqlxAE4pmUtgRXTFCLHcNUkmQzmGyJWgOM1jSKgkFcI3jPVLbIN+c6HBk62oc9rUTQyQ1WQLlYLkgURS0hyBSlDYkyCO3JlaWtFjFFG3wpjlZnLINU42oTxIMC7SxHRJ25AxmajImGxPiAFAGvJGCRWIQXGB0RDxpI45FmsDYvLG1I2s5SpA5Vq2NdgXSeUFh6mcYNNJdMKJpeclQ2mQs9kpBQtHezcmCJ1eQoq3YStEcKg5c7mF7qsuIbWB2wtRQfGZJYMFyQIB1LnRq+pel1ptCZoS1jalKSq2nq3Ro6smgzRV07CpUTi4w4kgTvqA0XaCqPz7v08j7d0MaEvURHNNneOnEjRWUC4TwNaWgETy3NiIcBZ2foFUssp44iSSmKmCgkDCY86D626GBdgjTLSAJSelZqe7CdOsnqEKUKYukR3jER5SzmdeblMmrScXT2cpQqi79oLdAOvHAEEdH3uiwcIhTCDfFKYtEI6ctU0mSIjVPSfhO95DioZsl1jE0l2oNvSXbV+gzNECugWzTI5mrU6o6Gq2/1VynwEBBMu3bt4pZbbuGNb3wjt912G9/73vfWtjWbTV784hfze7/3e7RardO0UlFxcTBOx/uxh82cl/bH86LuHM2Tqqh4qHPDDTf80C4zoaSg1RnQX/j/2XvvKMvKMuH3t9+d08mhcuzcTbfQNKFHaFHUGVSG0SWK4nw6Y1oCo8O9ruWodw16nfGb+xnGgKwLjhf9xFEQxTSKgTQYiCKhSZ27ctWpqpPPPmeH+0dVd9PS0N3QodDzW6vWqtrh3c/etff7vs/7JJdwxltIL55JAiH1mE5WniczV0FIMrWOOmHaJKznCXUDqSJIWvPQhFZDxqz5WKKImk5Q8w1G5yzmLA2rVkKPIBaEeKhEOohKnGSgEhN14maJoCEoORZGVETzBBXJZ7pu0WtWmFFqeJIAZQJJMajXbfA0As1GChpUVQNDFVQNnacSeSJh03ArmPM6SqtFMgpo6T6dQQEhC0p5k5YeEGsEWPYoqbTD9qZNM4qwanWMqIJkQ8sOiYyAQimJWxKIuEBhnqoqMBsxxuca6E0VP9+gGAWYagOrXKYc0yikEpQBpylBvZPQHaFzsogZeozpLjE7oqnbqC2fciEiEBFSECBCQRBI6E0ZAWgoSM0mUwkXN9CIrAZGq0gzIdHyNJRikzAw0EREtapQLueoWBqIGoiQSDFRhUYUBrQiiVIyzYjayZAygvB8kAUikogR4dchUKtEgY4SqoSSiiY1MYOAuUgiiECWA4TwUWQPK1mm2UiRbFXo0kpE3jzTdZeWpRJ2JRgrWySmVOYKOs3ugECSkaMaETI5WWZOaqE3auyMd6AhoNGkpcgEmowqhdR6BTNlCwITtWggk8IRJZr+LF5SohFJ6CWdeVcnMHS0uRpRGBIGIQ3PQ4gATQoJJYnIhkDI1B0TWRKAynQ8RV4tYss1ZNsmq2h44UKq7Nmsjb0HQk0mEIIGGs1KhFTXUAyPdHkGWTYhaBEqUE3EKLpJ4lqBsKmSmAc7lFH0hfcqHZmYzgi+n2J3Lok2FlELyzR1Hc8vYUYKZcvBDBcLt4qF9N891hw7kn0Yc0UkGkiSRMnUkFoNBmOCXZoHszqSIiO87cjhMLLnUzctVOHhRTIVXcMPQ7xQQVN9jLDCnK9RtEP8mo0IFupzYTdQFBfRylAKA3r8OEazQssBX1Gxa02KKzrpnt6BEgh6mCMhOcxXQ3S3hW3AtCmTCsvIkYxiqfhyE78lI7VCZkODcVmn0w8IRUgkgSn7aPioXoQi+zj1KmK7S9BK0MjbCCTKlo0XNJAMg3ggo0gqklTHJ6JGhGPXcaXOk9qP7mPJK0ywoDR97nOfw/M89uzZQ7lcJh6PMzAwgCwvDVNdmzYngoe3zQCwbnhBYWr6AU/PzPPQ40+xe9sYXrGK0qwiiwVXDCkKkIOAQIImIa2ghRIFxEOZXk1leNlq+k5dS7y3C1nXidkaPTmHJ3bP4gchirzkvXbbtHlerrjiipMtwklDCIE5bBBWSwSmRUtqIGsyQgFFA981iQohej0gF8UpxwSIOlU/TtO1saUWOUNApYHt1qhKwzRaGaKgxnhFYOdUZN8HRWXQn8IVNo+XwZV9JF9GK7SwIo+yoqHIIS10aKpoZkjk+JhSlQFNYrquMyV8wgj0SEXRDGp+Bqelo4YaOdljtx+npDsI2QA1oO4KJnwXyTJINBRUJOK+TEET0NQJKqC7DRQ5wo9rWK0WfVLII2VBxQgQio+QI4pJiWYhhdUMKDUKyIpB5CdohhUmIgm7oaAoIcKRMQKFQncf0/EY+kwJrWASaj5WM03dgabvIhMQCAUVgRJYlDMqemkHYSNALylIkoqphZQTXczZHSiNMUaTcYSVYYM8yZzZIpSbSLbCuEjRkk2slkc9iCP7BqYdQ5jzSDlB6EcUEnlSUpWirYKi0WwqyIZEUAM/EFhGiFqO0CLwwxDDKCPXF9KO+02dLrXERCNBFNpEmRKBZhP6Ad5iQdx4GODIEem4x6SAqOkxnZPINEyCuEVkaKiUQZWJ9IiyZDM9KTDKNcqmQjkrI9VdeloWoVIDJEzdo2EK6ugERZmWLpGabqK5CnklzjY5YqzpMaqtxXfrLJcVwmyAF8Bekec0cwZRL2MLH1ONUJ0WBd0Go4VtlECJWLZ2kMbkHmRlhkRURfckdBEQAL3aLFOhBqZCJWmTUCK8BnhRDF2ewlcNpEBFbYIpR0iyhuw10EQTEZcIahqZZoGudMRkYNJpSfS1auxsmkzoEp6SBMlDU0KyZhNt1kAKZGLRHE2/RV23iWoRnh8xr8kYWpyUUWV2ME51LsTcVSM2L7Myb7KNFJYdIUQCpeUgt1LYTZ/ZwjyOL+PGBHVToFRCIkNFECKrIYoc4jZS1KUGCVcwbas0fQMllFHMgCiIoZkzRBmTeL1KTQ3I1gtoyZBtRp6B6hx4IfG6imPpJMqQbY2jZWG8FSNHRFPR2Ja16anKzHcpEDWoN1MoapVqRSFptJjK54mV6mh2mWwpoFWco2a76GVBzXGZdxPUnAinqDLop/DKEX3qCCLyCPUGISqqtjRUlaUhxRGi6zrx+ELw1/DwML7vH+aMNm3+NIiiiCcm53h0zx6W5yrc/B/XkyzNkyzNEavM09eoMnAU7TVUQdXSeGLXVn7/m5/hWS6B6lCQbHpbIZ1+wNZHVrD+ZSuO1y21adPmOJO3s3T3D1MoVlEmS2RCQcGIEQVNpGYIksdOp4PlRgUlrWJoA6hhiCkrYGg0zARu1cd/zRqm602MRwPcmkSpLKHJKr2uiavWUCWTwFfRcnn6Zj1KkU1NzJAszVFOdVPIxjC8CSzPxJRyzMkTWEGcoq9SKoKw5vAaEoqiYZkQC3xcpUWzZVHxbYJAIqGE1HV9Ie1YJJGx48xUwC7ZDDotEvU4gRFRNipU5W76pjy6jHGKAXiOQSJSMIM6mbRMTXaJq1lUpUgYtvAbJpGok25oqMxiYlFQHUI5RBIqTjSJg0fkOMR0E0X4RKogkA2EXKeuR2hOjFQzjTU9y24nxJNkurJx0FOofkQktWjUfBp6kphTwVDKxIslwtAmtULQG3eIFSp40jxRJOhMVJi2OrAkGcWTqHsK2W6bdFahkBiiXt5Na5uGUMDI21glQSnSUXwJQwsJ1SZI4UJQPQGG7BPIPo7cZH6gh0kREd89RqNep2lqqKi46OR0he7WKFO+hwgCBOA3JSbsNFapREtpUVENhvtVjDCLV01QqDyGZvhUTXdBeWtpFB2NmtlASAtpy4tmHF0pgxogKRYtFhM5WCGtukzGqOFkHZ5IDWNHu9CaPrUogysrKHEPSZ6lbmdIBS6ZcoQTlKmjYytNWpJKqAgkVQc9TibRyYaOgPGyR94T6Hqe2ngFyyozTQlFVolicWphBcdSqM1pTLUkzG4VerP4y2KUn7aITQWknAkiLURpRoS6wMlEZFQJr9SLolWIG01QXEiuR9k7gxKG+O6C22vC9Dmt5TEShrRiArNQISnKFNUuJEunOguSq1F2DYJMnT6lTExtogqFyqxBPUiSXGNQ01q0pCRONU6tFmLUx1C8kFRLpRVTqKxcSXl7hX51kjBSUYKIpGqihTLZ3Ar60p3s9B9izAuQgyZpq44btSgpWUgmcCUJpTVK0qtApBBJIS5lQtPEclp01CMsU2MPTaozJXAH0WUJJEGgy0yqMRSh4FTrBJ5H0RDEIhezphBmfBIxH0VZiFPsaM0wrSmErTLVsoNGEjNmklO20fK6iDRBq2Fj5wIcJ44qXBL9hy4JcaJ5SShMjUaDL3/5y3z/+99ndnYWSZLYunUrX/va17j77ru56qqr/uQqtLf58yYII+57bIyv3fkHXH+SofFd5KYnuWSugBoenGKzYgomMio1Q6KhC+r6QvHDSFpMextJqD5ozQjdDzCbAU7dx615pIsNoASMH2jPUJh2Xe68/j/4mchRUgy6+nUufevriKWXhmm8TZuj4bbbbuPHP/4xo6OjNJvNQx4jSdIhkwu9lBFCcEbXWmak7UyOCqxsNw886eLNTmHrJcIwi+6kSbjQ1euQHNjIbQ/swQ9KJEWAFpWwnAAppmMLi2bOoyfykUSd3YZgzdphyttDlMimM1NlbzJHbnWO2FyTJpBKu8wWNKKwimSpyKFADjX0RC9BspPSzpCg1UJuhfQPyJQI0RoSpqGT0wRBw6OsyJREnHTMR9XizDZLeFKTTR3DlEc0WnIF3YSoElJvOESDMtkZnbiSQCrM4bkqip6iSy2hqXkSdYuW4pN0O5iTQ0pjFSQh6BEmWdlHGBUSts320EREES/rN6HWoCUXsQtNelflmC9MMNc0Ea5JXNEZ7EmRSSjs3VlGDqpYQUBLSHRk+nnN+Sso7h7hwR1z7HlwF7ofEVN8OpMRE0KnU81y9vJulGSS5qTB3OOT0PLQVAk8AZIgEhGRJON0dkLMpVuGpt+LJI2wUs/iaBO0tIhH5yOMoEUYRCxkPlCQLQMrbGLEGzhGHdVOk+pfSdlr0t+bpdcOcfZM87vZIoOJZVQjHVXag9FwqCIhGgJHRDTtPIrToCkaxHQXx+riVWe9lt9sG0c8tANBA2GEqC0ZRZbwY1l6tBbjkkRYkTFlmSjSaYUCWR0gEjPEPJ+aCnkt5GWOj5/tpZDXaFTBL0usXKmTMF1mp+cR6QylckBKWDheF2ZtBr0aUIoEsrRg1TMjHT2wcHUXmCcSAltWWJ1LU8y9jMcmx6g0QnQXhsIOKl6NRlJlvlhCdeucdmoH41JEsV6iKivgqNgratRnitiaQiAEcVcl7hmopS4K8nbiskRfl0VHZ5yZWkiqNQ9ComwI7FiWREGla+MAT+waoyViJPwWjiKhSSGBnCbdgrIl0GQJFQlZStFpGGhuidjyPOb6JHtaBerNXuqJBJV6gGdoqF0B2u9/TVeo0Yq57LVBFpNIiskpbj+T9FNbUWbDih6iMrw1s5LHSi2CikR5cjuyV2HCT+KreRSnDk2bckzDNFXWSA6p2Tlm1YiJZAdd06OYdYuhfJxHA5VkaOKGBdy4II6DaEpoIkBr1cjIAkPrI1Yq4aYT5LQmuvo4KS2L1GrQ0Bo4psAQClXqBGaSXFYjSCgwEeKJFDMlBS9RpTPvIreSbNoweJJ70gWWvMJUrVZ5xzvewdatW+ns7KS3t5e9e/cCC4rUvffey9vf/nZuuukmenp6TrK0bdq8cEYmylz3k7vZLQr0zozQMzrGm8ancBZTfEfATEJhPKMzkVGYjWnUDRMdFacpY3oyckND8VWMEMyWhAgDpDAk9AP8qMm0LKhZCg1LptFnEuoCK6riemWStTKpaoVMqcng9ByD03PANgIJpsYcrn/kKeaULpqSYPlpBm+79J1o6qHro7Vps1S44YYb+NSnPnXYOkt/ynFOiXQnyWwPs/oK0vN7KNTmsHUZV5PpDDJ09/fT3Rsnm3cZ7E8yPeeTaBbQmgGe7iApEVUJZENhWX8/81sfZmoOdNPEd2IEjQbLBpazce1afvHrnQRSmeU9m4iVZpmsTbFdaoAZIkKTZDKL2Z9m3JORtSlaviCr10jFDBrNAF3EsDAWYm8SWerNEZKSzPpUD7vsTuJegXTMJqMbrOqUKTaKlDOC2RnodOJ0JhLsmKzRtBy8/o1MpzV00cB1e4gJn1JYx9UEiizoyvRQ6apgBD6WX8FxQegSSUNjdTpGOm/zF2tSTD5UZ8qfxl+WRU4k2WIYPOxbzCfLOLrKwFAnK1fEsVsPUiyN4zfTRKHDkJMk4eok1g2zq7KLyjqBP9cg7m1HlSXSBjQkkw4zhWRrzNo2aiyJPNUkIoaqGiAk0s0SUTxOIpmgHgR0ODaqvBJ7TZbJ2RJmQrA2YfPoL8sk7FkaoYIXyGiWQsLME0869Kw1mJ7ciUQCrXuYZbVxuhyHlJmgOvs7Vkh1Vq/N49jLKN03Sn2uylxNgVBCChQssxNbnUEWMmkd8qqOaeo46Rhudh1mYRxVKZIoemhmgO1mCaUIiSpGaJOQk9QUj5AA3e6k2vDJW3N41Tw5OYmpzGLbJjFTIFoBZUAWcNrqJF2nLePRkYjplqA03aJlZpCbcyQmC/hVmZKlY0cO8UYF24mwlYVxqZWIIcoRzrJhIvqJBSHNiTqnxCRiGzaRTpj89P7fU9Kq6Jk4gx1xzFYdP3SZLjeIFIvA8TESIcY2sBOQtGS68jE0Pc1YbR5VDVmZ76KuNshnXLxKGc1qsTfQWDnQxTmvPoNd9RaxOY/GzCQxpUWf5qHFE4w3PGwNPNMkpxjElBZGNgNzCrbtkFi9mkyiTk6NsXO6izm5RaJvkJAympLCH38KEYQ4mkImlaAUpXAth3w8QSk0MDFIxOMQh7g0zyZdY5ejM9yyGC96OFY3vWmZXdsbVNwYatRCliLWW/00Z6eoyRaankZRyvT397Asm2HTsh5+c89W1IqBGdd4xUAPaxybbz/1FM1Zn0yphK3HETmXuClzpuuzpzRIKSqgxBL4SgXPslhmWjR8E7pzWN0+XVE/W/04nU435cJezIzHYDe8bOgULGtpzDOWvMJ0zTXXsHXrVj7+8Y/z9re/nS9/+ct85StfAeAf/uEf6Ovr46Mf/Shf+cpX+Nd//deTLG2bNkfHQ0+PcfVttyH0eTrGxugbG2fLRBm9tTC5q2sSjw2Y7MolKMVjxCIVtyXhqgZ5N8+KdRvp6xsgZekkDBVFHH3MUcMPuG/7Xn56/+95uDSKLAIMv06yWCA9W6BjtkpurkJnuQJspykL9pSTfPaBSaqkiZlj/MX/+CvOXHMWimjHFLZZWnzjG98gmUzyhS98gQ0bNjxnEfQ/ZYSsoptpRCRYPZhme2WCVBCSNDRarothx1k2sLDguHl1J3qUY26kQXNWEGRcng6NhXhGu0V3X5z5rZC3oDvr8NQuyFgH+p19aqmhmCTWrqYwVUHxTEJFQUon0JetxFiWR35oG46qImtVQtVHknT6ezrIRj1scGB0R4PNp5zKPU/NQK1BQrZRVAUHl56YwepOlVh8FeOzo1T3Pkj3uiymWEFNHyNnapjLunjF61az3itSbMxSGN2O46mcncvyUN1nX1obO2aiZTRSiU6CcDeiUWfZWasp7PaRFRmQiOkyM16KyFxIijOc0BFkuHe6TjxhMrA8TSrrsv5lg/jDWXpnisjDy1nZl9//XPK2Tnooj2YpTP52B4SgmAY0QLFtVDuJGyuxyhhkxvcRusMp3WkmZmS0SCaZ7kSWJQjAVmU25BNUMy7lWIlk42mEJNHtJGlGAa6IqGqz5B2ftT1daOUpnO5uYj3DxGMrkBwHe3qOklfB1W3+Yt0r0KcfR9MUhCRjSymSasRoJJPSPaK6gWxlOG/1Sh4vP01YGUcIa/+9xcw0SU3D0KdxtVECEQAgC43lKZfZioo5V6YpVIaWLcfL9RLuKtNrw6psnskxATNgKIKUqeNVItLxiL4eHUURuG6MXH4ZQXkKVw9ZlVtJOFOjZY2gjIe48U6k6hillkxOt/GFjeGupDJfxUi7CEWFxQgOB5OEEtG/rAuA8zedTrXoY8dVHM3GwqDWarDljPXMjng8Ot6ge7iHsy2NHdUd5OISfzG4hZav8fgvphcWYp6xFpORJeKBx6ybpTNtYTsmNHxMV0HoTaxGRCaboGh3UJ6pIEyZkuKiCYWELKObGvmzNpJPm1jJGJZVR9Vc6kEVMVejvyfJZC1BEIbUVAMRlfGEQI3ZqHIM21xIgJaz9IVkD89AFRKn9vQyOf0UmeEh9GQHejJBcXweV+8moY7hagk6LI2xVIYwlsKWVRIrVpBfcSZaOoUkBK8SZcr3lxgNQtyuND3xDuwdM8hBHTcqY+oqRdclmXLI9duIPRn2Fh4lGM7zsNqLO1dE0nQsTcHoS3P6yiFSYj2DvQ3G5mTE0ByzkSC0M1hO9oV3fMeYJa8w/fSnP+Wcc87h0ksvBZ69CnjRRRfx85//nHvuuedkiNemzVHR8ANu/cN2fvTgA9jhGLnxcbZMTNA7WUdZ9LQrmgqLwjmBAAAgAElEQVRPdCaZT6XQHQVPFfT0nsKdD0YY+Rz/dOW5x1QmQ5E5Z+UA56wc2L/thp9t5ae/20ZxVYM/mCV05klNjtMxVqBvosayuQLL5hYy9o3FHP77//0pP1IewfX3MvCmtbx201+SsY9tYd02bV4Ik5OTvPWtb2XTpk0nW5QlQdzSOCUpMKtQlAS2oRGzDyiRWUsHQO1eQT02tvC7sZzp4lPoaY1EaiHFb0qHZb0JcvU83sQEin1wplppoRwpiuPQHwUEag/T1YDe5T3EsjFWvirBUz/4bx7aW0VVHNyOTnxFsL5/kA7NoHeVi6wYPDmiEtBkOG/x2NzB479imfRay2iWxqnQRNZjrMjX6Yz7ZLtX4zgGjmMQhllm9BjRY9uJL1/B5lqDuakCj5sBflog6jrdnUnGZnWapo6eTCCPHqhF5+qCFYlBdvf00mrMo2sCSZLQVBlZFRimCoCzGBqQeJ7nb5kact8q3MpOZjvWYbVk9OzCpDCeW0Vsy3J2BndSLo7SsWoVayoyDz4yTi5pIi8m4bEXg+BtVWFTZ5LStE0Y+JiugdnS6XBzmLpg9cZu+gZOozK7h5Y/D5KEFo8BsCq7jOlqgU4nh4gLNH/igJB2jmrBxI5paM0qZs7CyThsWNNDf93lgYd2oOsLZSdylk5aVmjJGpbjoM9DRZXRE6CEOhtXDlMqhBTLk5zafyru0BB31UtIksCSs8TtNJNKBUmWyWZTnN0zzKPKHIpQsHUZVRw8TbVsjc6kzWzDxhcCiJAlQdxIUw8g37GSczZ04zcCeuZOpTMeouohijCQhEB1XBLLB/a3l07HuOhVm5mcKJJLJUlHLuVmlZSZIJeEoZVpFFVhNlGiOVNBVmR0K4YOrIytoFr20IwatcX2NJHACLtwZB848L7GO2zquxUoWyQdl7LQ6HVtRNrh1O4epvaMEVAiFXfQQoV0dxrT0oCFYq+rB3VWDSSZ91pM1jzytkHRyBEIHzsdI7eiH0OzmBqZxFAEka4e8v1TdZf86vMoPvwIzkAfaizG5nfkWVmoE9SfQJFB7PYwLJ1uJ04+FmP10DJ068B4LoT0zFvDdHIk9R5q0hxuzGNu/3GgpZI4wsCoj+E1A2JGjoS6B7piyLEUueEOFCGhW2m6LOjKw575gFpx7Hm+opPDkleYpqameN3rXve8xwwODnL33XefIInatDk6/DDkR/c8xs8efZR4YzeZiXFeMzFF10xzf58z7RpMpLL4rkvJbRHrH+Yf3/BWTGehOO2P795BrfEI576s+4TI/PKX9fDtXzzNarmfz739TKIo4pGnp/ne3ffz8GkjxOujZEan6N07T/d0ha7S48DjTMZMtn+vxWd+OotZL9BzUT+vP+N15JfQKlGbPy+GhoaYnT25afK3bNnCxMTEIfddd911nHvusV0EeSaqkcCrTqNoNniL2+JxUuEEyWyKc1YNoSjPtkxrRoJ6eQwr3kskqeR0yJmAJBH19IO30Jg7PISeTKKlFyZUmq6g6Ard/QlsR2emt5uhzCCFrR4DeY2+jhiyvqCUzcU11k6FlC2FRLoHz/foi3chP4el2rZUGk0w1IMVJ8vUqRSbxFMmspBIJFXcuLF/vxCCXKab6NwuJEnCAHJDA0zvvo9iE+KOjiwkmuwrUHsAeXGZ3lQF0qIFX1MkNq/vZO+uI3+vTEujXGygGwqbX3U6cDp3PjiC8kfzWkmWGXzlFoJGA8W2CfyQmUoDL4J1HUmmax4DcfvAvUkS8exaIMIdH0NvqKhyi1N6VUxLQZJlZEOnVeEgS4gmq3THOg4pq7RyFaqYITU7QyKpYEQK8fSCRSlhxnnFpg0EwcIKX2/MYkRTqQFRIkUUdVM2QnKdFnJTpTOVxS/OYqxYSyoVEOsZgKcfXrxShNXdRZdSRd+8nuRgjpQQ9CfOx/ObTFam6YktxM1mrRTj5Sl6410HBI0gGdOJdSeYESqz8z5b1nURNzUw4Yw1XdiGihASpekKdqyXyA2I9xwc857KOKQyCwq/QCVlHlB591mkDUNdtDgeIJmycBydroGVRKVxJmeq0GxhWwm6jAWTliRJJA2Vsp0lbjvEOwxURYYIFCRWx3Sypw5QTETMK3VyqSy6mVlQSv74/yItuIuuy8QwVZld6STzsxprTz8Vy9YpFar4hVma/vN7mmiJBNlzz9n/t6qpdHSqzI6rhEFABDiGRbwzRr5nA6qqH3S+m16OtExmdPdWWDRiCMtEqBpaLEl/wmI00nAXlTZNX1TwbY0tp3ajjzUZrTXI5TL0uCYZ86Vh9V/yClMqlWL79u3Pe8zTTz9NKtVezW6zdAijiO/98nfc8cQTxL0RspPjXDBRIFNa6ERDYCzpMJ3M0tQMdvdE/O0rX8epa84+ZCzFfz80iiTBX2zoeta+40F/R4y+DpcHnpii1mhhGSrrV+RYv+ICAKIw4sFHRvjWnb/hkfgTpEam6dw7R89knXxpO7CdaVfn6R8W+dyv5tDKdXJ/1c0l576hbXlqc0K57LLL+NCHPsTrX//646qYPBfz8/NMTEywYcMGzjnnnGft7+/vP67Xt9wudCOJrFrgLayDax39xHMCO9mHqh5aOZEVnVTnqQAYwOahIfSohqwYJPu7iRYt4pIso2cz+887dVWOxlCaZGphgr321AVXP1veiDdTQDzDJTLb4aKOtZhIu0RCJmOnnqUsrRg6hZnHH8Pq62NdKLN7KiBllg46RjdUOrrj5HqTzE3sfs5ncai+VZIkkj0xlvdlGPldCrFo6j91ZY7puRoJR1BcPFaTVZqAkHVURSbf6fJHOXiek57+JMX5+v7n8nxIsoxiLyhFsiI4+7Te/cWUM5b+7OMlCZCQZQktkcC0A2L9XQhlYYqnajEaTGLYR7ZwJQmBUFV6OztY4zYIs92kUu7+/bIikBeVbEVIJBUFrTOB76pUlqUR3hSZmIcRmcSTJnt3grBd4msXFvwyhg4JFypV9EyGwYGBZ8mgKxp9iQMLhDHDZXPfRoR0QBmQFJlUzMBNWOT1JvmsStw58HzcZ8S+dKRtSpUmPfkXWLPzECGOkiSh6QpCVulO9FAbbJJtaYxNCvolwdq+hfG6yzFIGiqtDafjTU4hZJkO28LwY/vbig8OEj9CUfZZGLvPPo0eRUWzF+7ZjvciSTMgv7A6jbHMSsKWT3HHHzDlLKmeU1DUZ79vquaQXLMebG//tuGeJGOzLlJUZHnexpZcBjoX7s8wVXIdLqqq4JoxSgWFLmGiphy63GcXpY14/njTk8WSV5jOO+88brzxRu66665DDna33nord911FxdffPFJkK5NmwNEQcD1//uHbJ0bx2pMkpsa53UTc8RqCyOqLyR25hLMxrOUDRVvlcHlr/97colDr/LtY2quxtads6wbTpOOn7iK1y/f0M23bn2Cex+b4BUbew/aJwmJjRt62bjhLQBUqw2uvfZnPLnpceKTk+T3ztIzUWVzeTewm5mYytM/n+B//W4SUQJjc4YrL7wYV28XnG5zfHnVq17FpZdeyvve9z4GBwfp6ek5ZByTJEl86UtfOubXf/LJJwF4/etfz9/+7d8e8/YPhySJBevSM7cJmVTny46qnZSbYJ+z2fplzz3xjjv6ISd+ZlcXZtfBCz6yruOuWM6c3qDxHO0NdC9noHs5AMNhhCNV0L2DFSY7MUAUtl5Q4o4+N2JzXx5VFmxa2bd/XhyzF1wVW+Xy/mM39nRSr2lYixYI7Tncng6FrAhSmYP/D8M9cVr+kWlcR3Jvm9Z00Nwzg22quOkDC1Oq7pDIrUPIh5d3WdJmV7HOllO6MFUZ5wgC7mMJA+YbDAykGWs2SdTmaAVNzEVXxb6h1EEWkw7HQHR3oksyinPkY8AzlSUAa6gHqSywBwdg7KHnPVcWEqsHj99inSxkVuUX3tPxqVHgwP9MkiQsVaGi6fu39XXEqJQnX9Q19czBipGs6AitFyOKsJMm2YTFjvpCOm8r1oPfqj7ve6SoFiGtRZkFivr88w0hCcIoRBYLmRGRgAg0RWZN38Gy6Ya62O7C9S1VJtP9/HOfpZaHZ8krTJdffjm3334773//+zn33HOZn58H4Etf+hKPPvood911F+l0mssuu+wkS9rmz5F6ocDV//FtZqUWZmOajqkJXjtRxGwurJA0VMFTXWmKsRwzlsrQWf38/XkXY2uHX2Xcx8/vWVgxPe+PlJbjzcs3dPGtW5/gtvv3Pkth+mNs2+Af//Ei4CLCMOQHX/sFv2xsJVEaJb9nht7JMmeXRoFRZmIK236X5lNPjCNVTCrLVP7l0ncRN9vKU5tjzw9/+EOuv/56oihix44d7Nix45DHHa8sefsUppUrVx6X9o+GpTYBkYRAkmVUWaMBaPLzT84VIZE2FGrNg29EN5Mv6PrrO1bjhz7qYmyQOMwDkoXAOYbuxT059/AHHQW6KmObh1aKDqcspcw4s/UicV3jZflnWxWej97BFK1mgKYrrEBnOzbj5SrW4oQ7ljh44m0oixYR48X1+cLQsPK9CFVlMNl7wpMODa/K0vSCI+47tGSC+sgIRufxK89hWCpRFLF8cEFhScQWYxJlARxb1/jTu9fj+R6qrLIibRF0mDBWRMscmYXruZ5bzs6wtzjOstTAMZT2xbPkFaZMJsN//ud/ctVVV3HnnXfuTw179dVXA7Bp0yY++clPks/nn6+ZNm2OCVEQ8PCd9/CTe39LXW5hVGbpnprk9MkK6kJiICqGzNbeDGU3x4Sr8pevP5dz121+QZ25H4T84p7d2IZywuKX9tGbd1k7lOb3T02zZ6JEX0fs8CexEC/wN+9+LX/Da4miiN/eche3bn+AeHOa3N4peifmOas0CUxSiMlsDxL822f/jSiIUzabfOjSd7Cs68Qqh23+dLnmmmswDIN/+qd/4rTTTsM0T5yVFpaWwqQurvJr8tFn0zweOMuGqWyHVQP9TLTm6XRyL77N5NARWVIAYm0L937W5Fbsd/s7Wva5pu1jINGDo1lkrUNPnHtinShCJmu/MNexQ/Fc8VjHCks1cXWbnH3A/dS0NMwjX/tESyZJnXkGQtMIF+vB2YPHtsbQslUHf0PqcfzWNVlFW/zWErqB3plC6kyhWM9+KE5yiCgMUPUYsmliPk8ZIFM1eHn/0kvSs+QVpnq9TldXF9deey3T09Ns3bqVUqmEZVmsXLmyXXupzXFnbmyKm75zM1PVIi3NxyrOMDA1Tc90A3nR1XbOUdmbzVJ3ckwmVa541/+gJ/XiV5HueXSC2ZLHG84ZwtBP/Od64TlDPLajwA/u2sEVFx+dCw8sDKSb/2YLm9lCFEU8/It7ufn+X5EI6uRGJ+idnOOMUgEoUDMkduUc/vPaf8dz0qjVGt2nnsE7X3cBirzku6o2S5TR0VHe/OY3nzS37SeffJJEIsFNN93ELbfcwt69e8lms/z1X/8173//+09omvNOZ0FZzNnGYY48MciGQXztWgD6OTLlRVEX3No089DuVZpxpJEgR4biOGjJJHr+2cqca2uUq01M7U+jfzpWVlZZyM+b6EcIQdeLVHAkoRCFPkKcmGcvJMGGjjUvup19CU9kXT8o8cJLHUszWZUZxtHtQ+5/5neZ2nT6iRLrmLLkv/I3vvGNnHHGGXziE58gm82yZcuWF92m7/t885vf5MYbb2RkZIRsNssb3/hG3vve96KqR+6T3OZPk3q9zvdv+hEjI9upaSE0auRmpjh1qkiiGuw/bjJuMpbJ0bTSNPvT/OM7/w79GBZyDcOI7/zySSQJ/ursgWPW7tFw5rpOurMOv7x3NxeeM0R/55FZmQ6FJElseM2ZbHjNmQCM7d7Lddd/DUvIpKYm6J2cZs2eMmv2lAnELkYzGmP1aT659dfIloPUCPirv76EjStWHNZ1pk2bffT09NBqtU7KtcMwZNu2bdTrdb7+9a/z6le/mjPPPJNf//rXXH311Tz44IN89atfRVFOzFCsCIne2FEsiS9BFM0mkVuLJI7fWC09wxtAkiTip6w75HEblmdptoKTspj1504svYKWV0TVj62C/OeOJC+8+/IhrESH4089odOS/8pHRkY477zzjmmbn/zkJ/nOd77Dxo0beeUrX8mDDz7IF7/4RZ588km++MUvHtNrtVn6FKamuPGmH1CbHaHoqkSNBsm5An2z83QWmiiLOpKnSOzIJygkc9Rtl5e//nzeeNoZx02uu/8wys6xEq/Y2ENv/tj6uh8pspB491+v4xNf/R3XfO9h/uX9m/fXAnmxdPX38s///M8AtJpNvnLt5yiXNOJzk/RMjNE3VaNvagaYoalIjGU17rr+c/woFiOIOSQln6F1r+Yvz96MpS75rqzNSeKd73wn//Zv/8Yll1zC6tWrj0mbr3zlKxkdHX3eY97+9rfzgQ98gP7+fmKxGFdffTWx2MKCg+d5fPCDH+T222/nW9/61klJBvFSRhwm1umFEs+uJfAXMgEeCbKQMNvK0klBVnRk5cW7cLY5GEkI0meftV9xanOAJf+lr1q1ikcfffSYtffggw/yne98h9e+9rV84QtfQJIkoijiIx/5CLfccgu33377MVfQ2iwdKpPjfPfHP2ZmYidVW8MLQqxKiWSpRN98lfysj/yMpEUzrsF4OkPJyaL1Z/mHd78HIY6//3+x4nHdLY+iyIJLXnNyYx9OX51n8/pOfvPwODfc+gR/e8GLd0v4Y1RN44OXf2T/348/8Xu+e/PdGI068flxOgtTDIw3GBj3gBkioBCXmXxqN1/8+XeoOTFCx8CxZJavO49z1pxGxjbalqg2mKZJX18fb37zm9m4cSP9/f2HjGOSJImPfOQjh2jh2Zx//vmHre20fv16MpkMP/jBD561T9d1Pvaxj3H77bfzk5/8pK0wLRFkRUNWXho1YdosXTp64niNk2PVPhaItqfVIVnyCtOVV17Jhz/8YS6++GLOP/98enp60PVDZ3B51ateddj2brjhBmAh+94zUz5eeeWV/OAHP+Cmm25qK0wvcaIwZGbnbr79o5uptKZoKjpBK0Rt1LFrFeLVGkPlFumij/IM5SiUYCpmMxNPUbCzkIrxf17+92gvwDT9YvBaAf/zG/cxX/H4+wvX0pU5+YHJV1x8KjtGi9z0q6dxTI2/ecXwccsqBrB61an8Xx9bqAETRRH3/vYObvvZ79GCJlZtltT8DLlimUyxClSBhaKgZUtQuOdxvu1alE2bpm4TGDqYCh19azj/rJczmEqhL5Gg9zbHnw9/+MP7f7/nnnu45557Dnnc0ShMH/3oR1+0XL29vcTjcUZGRl50W23atFk6ZHInf8xuc+xZ8grTu971LgBmZmZ45JFHDnnMvswujz/++GHbu//++0kmk6xYseKg7fl8noGBAe67774XL3Sb40YrCNm7e5Sf/vwn1Eo7CANBEMlIvo/a9NAbHmbDw/Y8BuotnHqI5j+7CJovJAqOzZwTo2QlmdaTnHvmKVz0+lcin0RT9Gypwf/zv+/nsR0Fzj6lkwvPGT5psjwTx1T5xHvP5p+uvpv/78ePsWu8yLvesJake/yDxyVJ4szN53Hm5gMLGbVykWu/eC1eDdSwjlmfJ14pki5XGJhoMDDRAA5YAJqKRNH+A/f85Hv8yjRoqAZNTcdXdUJZJtQEnqwxMLyB12w+k/5MEvkEWBLbHH++8Y1vnLRrFwoFdu7cSXd3N51/lEo4iiI8z8M5ijo0bdocjlOycViihT/btHkps+QVpssuu+yYrWQ3m839FdcPRXd3Nzt37mR2dpZU6k87eO14EIYhYRRRrZeZmptn+95dbNu1jemJcaRaAwkJGYmIfRPRCIiQiJCDABEGiCBEDoL9P4ofoAQ+equF0fQxmz5GM2R9K0QcZkyoazJFU6emm1RMi7rhUNETzKsurzv/TC48+2UoJ9nSEEURpWqTkakK9z42wU9/u4u65/MXG7r4P9522kHF/k42XRmH/3XFuXz66/dy+wMj/PdDY6wbTtOddTh/Ux/LehMnTBbLjfOhj334oG3NuTl+9O2buHeiikYTvVVBb1SwaxVi1Rrxqkd2v0Xq2TQVCe++3/Pwzd/gPlXBU2WaqoqnKrQUlVAoiz+CUAgQMpEkEQqx+BYLiCKIIoIoRCJCkmUs26Yr28Pylcvp6+8jGY+j6hrSEvrf/ilzxhnHL87wcNx+++187GMf4x3veAcf//jHD9r36KOP0mg0WLfu0AkF2rR5IVhqO/akTZvjwZJTmH71q18xNDTE4GJu+iuuuOKYtb2v6K3rHjqAft/2crl8SIUpCBai/ycmJo762uOVBrc8NYYfhvvXfhZLSlGvNvE8/1nnrFcfIyMKSCxMvkzJo+kLmv7BHaJEREjEfBTwQFDDP8TqUgT0jNRZ9VQNCZCifecekGPfgdIzT4qevV1aPOGZ0z1p8aB97YoIRBjRHULvMVrsCiWoaIIZVeBZCp6i4KkqLVmnpWq0FANf0WlIJvNC47TlPZy36RQS6eQhle6J8bFjI9hRcM3ND7Nt7xytIMIPQlpBSBQeeECOpfKWLcNsObWDyYnxEy7fkfChNw3z3w+NcMcDI9z30JPcB8zOTByX2Kaj5cw3XMCZf7QtbDYp797LT2//LXsbAYZooQQ11FZjwSrZbGB6TYxmC73ZRKuFGK2IY207GwNGpIX3OJIkIgkiCWDxd/b9fWDb4q9ARLT4DisS6NJCVXVJAmldHCmrQSgRSDJV2dh/rCqBfAi9TJF9hNqiEi30LvsuEwK/8xTKskJMO9iPXUiCC1e9mlXZZUd97/v6zH196FLC933m5+e58847edOb3nRM2z7vvPMwDIObb76Zt73tbQwNDQFQqVT4l3/5FwDe9ra3PW8bL2bcadOmTZs/V471uLPkFKbLL7+cyy67jMsvv/yg7WNjY4yOjrJp0wsvZuX7C0rJc9W92Lfd87xD7p+engYWsh+dCO46xu3de4zbW+r8Frj6ZAvxAnjkx/B/n2whjpKdt8HXP3uypfgz5aETd6lb+e6LOn96epr+/v5jJM2REQQBn/3sZ/nxj3/M7Ozs8w6ex1phSqfTfOQjH+Gqq67iTW96ExdccAGapnHHHXcwNjbGe97zHs4666znbeNEjztt2rRp86fEsRp3lpzCFEWHNkd873vf4+qrrz6iOKXnwjAW1oyfqyZHc7Hy8nNVgl+3bh033HAD2Wz2pMa5tGnTps1LiSAImJ6ePinuZ1/96lf52te+hqZp9Pf3s3v3bpLJJK7rMjY2RqPRIJ1O8773ve+4XP+SSy6hq6uLr371q/zXf/0XURSxYsUKrrzySt7whjcc9vz2uNOmTZs2R8+xHneWnMJ0PHEcByEElUrlkPvL5TLw3C57hmFw+ukvzQrFbdq0aXMyOdGWpX386Ec/Ih6P88Mf/pB8Ps+73vUu0uk0n/nMZ/A8j0996lN897vfZdmyo3c1PFK2bNnygouut8edNm3atHlhHMtx588qDZSmaXR1dT1nGteRkRFSqRSJxIkLXm/Tpk2bNsePkZERXvOa15DP5wE45ZRTuP/++4GFekif+MQnGBgY4Prrrz+JUrZp06ZNm6XMn5XCBLBx40amp6fZuXPnQdsnJyfZtWvXc2bQa9OmTZs2L02emcRnYGCAyclJSqUSAEIIXv7yl7Nt27aTJV6bNm3atFni/NkpTBdddBEAn//85wnDhaqlURTxuc99DoC3vOUtJ022Nm3atGlzbOnq6jpogayvrw+Ap556av82RVGYnZ191rlt2rRp06YN/BkqTJs3b+aCCy7g1ltv5S1veQuf+cxnuPTSS7nlllt47Wtfyyte8YqTLWKbNm3atDlGbNmyhdtuu42bb76ZIAhYs2YNhmFwww03AFAqlfjlL3+532WvTZs2bdq0+WOk6LnS0p0kVq1axRlnnPGsYoP33HMP999/P5dffvkhM+lJksRll112RNdotVpce+21fP/732dycpKuri4uvPBC3vOe9zxnyvE2bdq0afPSY25ujje/+c2Mjo7yiU98gosvvphPf/rTfP3rXyeTyeB5HpVKhSuuuIIPfOADJ1vcNm3atGmzBFmSCtMLQZKkF5Vy/GSyZcuW5yxKeN1113Huueceto3f//73fOELX+Cxxx5DkiTOOussPvzhD9Pb23usxT0p/OY3v+G6667jkUceodFo0NfXx0UXXcTf/d3foSiHT/a4Z88eXv3qVz/n/ocffhhd14+lyMcV3/f55je/yY033sjIyAjZbJY3vvGNvPe970VV1cOePz8/zxe/+EXuuOMOCoUCw8PDvPvd7+aCCy44AdKfGKanp/nSl77EnXfeSaFQIB6Pc/bZZ/PBD37wiL6Lt73tbTzwwAOH3HfVVVdxySWXHGuRTzj//u//zjXXXHPIfRdccAGf//znn/f8l8p7VKlU+Na3vsW5557LqlWraDabfPrTn+YnP/kJmqZx4YUXcuWVVx5RX/JS4cX2ES8ljvRbv+mmm/j4xz9+yDY2bNjAjTfeeNC2O+64g2uuuYannnoKw/j/2bvzsKjK9g/g32GXXcQNBHFDRMUFxUwrRVPEQC01FddSIXHPSu2tzOzN91dagkulmbuBZu5mqbijoCKIbIrs+84As8/5/UEzMTIDMzDDzMD9uS6v923OMvcM58w593me537MMHbsWHz44Yfo0KFDve316Rqsynl/+vRpHDhwAOnp6bC2tsakSZOwcuVKWFhY1Nu2NX5fffv2bXSdQ4cOYcSI2inT2+oxVlBQAF9fX6xYsQILFy6st1wXjqPnz59j+/btiImJAZ/Px+DBg7F27Vr0799fqc+oc1eHb775RtshtKjy8nLk5+dj0KBBeO211+otV6YkYlRUFN577z3Y2Nhg2rRpYLPZOH/+PO7fv4/ff/8d3bp100ToLebMmTP45JNPYGFhgQkTJsDS0hJ37ovDzvsAACAASURBVNzBtm3bEBMTg927d4PFYjW4j6SkJAC1F4OePXvWW65v85ts3rwZYWFh8PT0hLe3Nx49eoSQkBAkJycjJCSkwW1ramrw3nvvITExET4+PujatSv++usvrFmzBqWlpZg7d24LfQrNKSoqwowZM5CXl4dRo0bB19cXaWlpOH/+PG7duoWwsDC4uLg0uI/k5GT06NEDkydPrrdMG/MJaUJSUhJMTEywdOnSesv69OnT4Lb6dBxZWlrKfEYTExN88cUX+OKLL7QYlWY15zdCn6hyricnJwMAlixZUu8BWZcuXWT++/z58/jwww/h5OSE2bNnIy8vD3/88Qeio6Px+++/w9raWrquvl2DlT3vf/rpJ2zfvh19+/bF3LlzkZKSggMHDiA2NhaHDh2S6ZHTWr+v5cuXy329pKQEx48fR4cOHWTuKdriMVZdXY0VK1YonLJHF46j1NRUzJ49G2KxGH5+fmCxWDh79ixmz56NI0eOwMPDo/EPyhCtunfvHuPq6socPHiwSduLRCJm4sSJzLBhw5i8vDzp63fv3mX69u3LrFixQl2hagWHw2G8vLwYT09PJjMzU/o6n89nFi9ezLi6ujKXL19udD8hISGMq6srk5iYqMlwW8TDhw8ZV1dXZsWKFYxYLGYYhmHEYjHz8ccfM66ursy1a9ca3H7Pnj2Mq6src+TIEelrbDabmTx5MjNo0CCmuLhYo/G3hM8++4xxdXVl9u/fL/P66dOnGVdXVyYwMLDB7bOyshhXV1fmv//9rybD1LqxY8cyU6dObdK2+nwccblcJj09namqqtJ2KBrR3N8IfaLKuT537lzGy8ur0X1WVVUxw4cPZ8aNG8ew2Wzp6ydOnGBcXV2ZrVu3Sl/Tx2uwMud9dnY24+7uzrz77rsMn8+Xvv7DDz8wrq6uzOHDh6WvtfbvS56goCCmb9++zO3bt2Veb2vHWHZ2NjNt2jTG1dWVcXV1ZX799dd6y3XhOFq0aBHj7u7OJCQkSF9LTk5mBg0axLz99ttKfdY2V/RB10ieRijT7CtPZGQk0tLSMH36dJmnFyNHjsSoUaNw5coVlJWVqSVWbbh//z7Ky8sxY8YMmSZWY2NjBAYGAgBu3rzZ6H6Sk5NhbGyMXr16aSzWliIZrL58+XJpyxqLxcLatWvBYrFw4sSJBrc/duwY7O3tMWvWLOlrlpaWCAoKAofDwblz5zQXfAu5cuUK7OzssGDBApnXp0yZAmdnZ9y+fVtaJVOe5p6X+qCqqgo5OTlN/oy6fhxdu3YNGzZskLYuA7UVUbdt24ZXXnkFPj4+8PLywurVq/X6N1Ke5v5G6BNVzvWUlBS4uro2us8LFy6goqICCxcuhKWlpfT16dOno0ePHjh16hREIhEA/bsGK3veh4eHQygUIjAwUKYLZ1BQECwtLWWOodb8fclz9uxZXLt2DTNmzMCoUaNklrWlY+zAgQPw8/NDUlISXnnlFbnr6MJxlJ6ejjt37mDcuHHo16+fdF1XV1f4+/sjPj5eqSE9lDBpWXNvzKKjowFA2n+2rhEjRkAkEikch6EPunXrhrVr18odfyRpxq2pqWl0P5LuVa2h7/6DBw/Qvn37ej/KnTt3houLi/SYkCczMxMFBQXw9PSs1w1Rcgw1tL0+EIlECAwMxPLly2FgUP8nzsTEBAKBAEKhUOE+2kLCJEkkmvIZdf04+vzzzxEcHIzTp08jIyND+vr333+PvXv3gsvl4tVXX8XIkSPx119/Yd68eeDz+VqLV92a8xuhT1Q51/Pz81FeXq7U8d7QddXLywvl5eV49uxZo+vq4jVY2fNe8rleLsBlamqKwYMHIykpCWw2W2bd1vh9vYzH4+H777+HlZUV1q5dK7OsrR1jhw4dgqOjI44cOYIpU6bIXUcXjqPG1gVqu/c1hhImLUtOToatrS1OnDiByZMnw8PDA+PGjUNISIhSF/CsrCwAkDvAzdHREUBtdq2vevXqhcDAQAwdOrTesitXrgAAevfu3eA+ampqkJWVhfbt2+PLL7+Et7c3PDw8MG3aNJw9e1YjcWsKn89Hfn6+dC6Zlzk6OqKyslLhnDKZmZkAIHf7jh07wtTUVK+PF6B2PNqCBQsQEBBQb1lqaipevHgBZ2fnBitiJicng8Vi4eHDh5g2bRoGDx6M119/HV9//bX0x13fSZLC0tJSLFq0CMOHD8fw4cOxcuVKvHjxosFtdfk4unbtGsLDw9GvXz/s27dPOlVEQUEB9u/fDxaLha+++gq//PIL9u3bh9DQUDx//hyHDh3SSrzq1tzfCH2iyrkuOd4FAgGWLVuGkSNHYsiQIXj//fcRFxcns21D11XJuAjJ3F76dg1W9rzPzMyEvb293EH5ks+lzHeg79/Xy44dO4bc3FwsXrwY7du3l1nW1o6xL7/8EqdPn5Z7fyahC8eRur4/Spi0SCwW4/nz5ygvL8fBgwfh5eWF6dOnw8jICLt27cLSpUsbfAoO1BaNACAzEE5C0qTZWm7w6kpNTZUOFpw2bVqD66akpIBhGNy/fx8PHz7ExIkT4evri5ycHHz00Ud6NQBa8ve2srKSu1zyuqK/eUPHC1B7zLTG4wWoPd+++uoriMVizJw5s8F1k5OTwTAMQkJC4O7ujhkzZsDOzg6HDh3CnDlzFA5u1SeSi/v+/fthaWmJGTNmwMPDA5cvX8bMmTMb7KKgy8fRyZMnYWtri0OHDmHUqFHSgdd//vknhEIhnJ2dMX36dOn648aNw9ChQ/Hnn39qJV51a+5vRGsg71yXHO+//fYbeDwe3n77bYwaNQqRkZGYM2cObt26Jd2+rKwMJiYmMDMzq7dvyXVV8hugb9dgZc/78vLyRo8hyXfQmr+vukQiEQ4dOgQLCwvMmTOn3vK2doy99tprjRbM0oXjqKF1Vfk91Lkqea2Bt7c3cnJyGlwnICAAy5YtQ/fu3WFtbY1du3ZJ/5g8Hg+rVq1CREQEjh07hvnz5yvcj0AgAAC5T8slr+liVxNlv6PPP/+83uv5+flYsmQJOBwONmzYgK5duza4HzabjR49emDUqFH49NNPpV03CgoKMHv2bOzevRsTJkxockn7liRJoBW1jkhe5/F4Td6ew+E0N0ydwzAMPv/8c0RGRmLAgAH1xjvUJRaLYW1tjX79+uGnn36STmgqFouxadMmhIWFITQ0FBs2bGip8DXC0NAQjo6O+Oabb2S6Kpw9exYfffQRNm7ciD/++EPutrp8HMXFxWHMmDEyfeCB2qkJWCwWvL29620zaNAgnDx5sqVC1Kjm/kboO0XnulgshqOjI1avXg1/f3/p+lFRUVi4cCE2bNiAq1evwtTUFEKhUOnvT9+uwcqe96p8B635+6rr2rVryM3NxaJFi+TefNMxVp8uHEfq+v4oYdKA8ePHN9rdwcPDA/b29jhz5ky9Zaampvj0008RERGBCxcuNJgwSTJxyQFRl+QAaNeunSrhtwhlv6OXZWRkYNGiRcjJycGsWbPk1vt/2WuvvSb36XHnzp0RHByMjRs34sKFC3qRMDX09wYa/5tLnrYr+nHg8/kwNzdvbpg6RSgU4rPPPsOpU6fg5OSE3bt3N9gdz8DAoN5cGZLXP/nkE5w9exYXLlzQ+4RJUUltf39/hIeHIzo6Gi9evJBbhl+Xj6OKigppkishFoul/dlHjhxZbxsjIyOF55S+ae5vhD5r6FwPCgpCUFBQvW28vLzg5+eH06dPIyoqCq+99hrMzMyU/v707Rqs7Hmv6nfQWr+vuk6fPg0ACnso0DFWny4cR+r6/ihh0oCNGzc2ex9OTk6wsbFBdnZ2g+tJnnKw2WzY29vLLJM0XSpqDtWmpnxHcXFxCAwMRGlpKWbNmoVNmzY1Ow7JhGWNfc+6wtLSEgYGBgq7hEmalRX9zW1sbABA4fZVVVVyJ4fTVxwOB6tWrcKNGzfg4uKCX3/9td7NtCosLCzg4uKCxMRE8Hg8vZrsWBXu7u6Ijo5Gdna23IRJl48jKyurehWj4uLiUFVVBWNjYwwfPrzeNunp6fXGI+ir5v5G6KvmnOvu7u44ffq09DpgbW0NHo8HPp9f7+HKy9dVfb0Gy1P3vLe2tlbYTenlY6gtfF88Hg93796Fq6ur3N/ExrTVY0wXjqO66zYWQ0NoDJMWlZSU4MGDB8jLy6u3jGEYpW7IJBPyybvhl7zWo0eP5gerZXfu3MGCBQtQWlqKoKAgfPnll41OViuRmZmJyMhIuV2EuFwuAOjNja+JiQkcHBwUJnjZ2dmws7ODra2t3OUNHS+FhYXg8Xit4ngBalsaFixYgBs3bsDd3R3Hjh2Dg4NDo9tVVlbi0aNH0sGlL+NyuTAwMICRkf4+bxIKhYiLi0NsbKzc5Y2dF7p8HA0cOBB3796VKRt//vx5ALWtSy8/SSwqKsLt27cxcODAFo1TU5r7G6GPlDnXnz59qrA6oKSbj+R4V+W6qk/XYFXOexcXF5SUlEhfqysnJwcGBgbo3r07gNb7fdUVFRWFmpoaTJw4UeE6dIzVpwvHkeR/m/v9UcKkRREREQgICMAvv/xSb1l8fDy4XC4GDBjQ4D48PT0ByC/hGxUVBQMDA+VmMNZhjx8/RnBwMDgcDjZu3Ig1a9aotP3OnTuxcOFCmQGXEpJuOo19z7rE09MTRUVF9W7oCwoKkJ6ejkGDBinc1sHBAQ4ODnj48GG9eYgkZTWHDBmi/qBbGI/HQ2BgIGJjY+Hl5YXDhw8r3eLx9OlTzJ49G//73//qLSssLER2djb69evX6GBXXSYWizFnzhwsWbJEOq+FBMMwiImJgZGRkcycFXXp8nE0c+ZMZGdnY+3atYiOjsbRo0cRFhYGFotVr5paaWkpVq9eDS6XKzPmQN815zdC3yh7rgcHB2P+/Plyu4K/fB1o6Lp6//59WFlZSef006drsCrnvaenJ8RiMR48eCCzHo/Hw+PHj9G7d2/pOMHW+n3VJUkyJfHLQ8dYfbpwHDW2LgAMHjy40c9CCZMWjR07FmZmZvj9999lynlWVVXh66+/BgC5lVjq8vLygoODA8LCwmSy58jISNy5cwdvvvkm7OzsNPMBWkB1dTXWrFkDDoeD9evXNzhYXxEfHx8AwK5du2TmbHrx4gV+/vln2NjY4K233lJbzJo2depUALVzykhuVhmGwfbt2wEA7777boPb+/v7Iz8/H0eOHJG+VlVVhR9//BFmZmYK51PQJ9u3b0dMTAyGDBmCvXv31isA0BBPT0907NgRN2/elPmB5fP5+OqrryAQCOSWMdYnJiYmGDt2LCoqKvDzzz/LLNu/fz9SUlLw1ltvKayCB+jucTRu3DgEBATgzz//xPz587FlyxYIBALMnj0bb7zxhnS9oKAgjB07Vlo5c/z48VqJVxOa+xuhT5Q91318fCAWi/H999+DYRjp65cuXcL169cxfPhw6bxV48ePh4WFBfbt2yetsAXUVmBMT0/HjBkzpMWD9OkarMp5/9Zbb8HQ0BA7d+6UGav4448/oqqqSuYYaq3fV10JCQkA/u3GLw8dY/XpwnHk5OSEoUOH4vLly3jy5Il03ZSUFJw9exYDBgxo8O8qwWLq/lVJizt+/Dg2bdoEc3Nz+Pr6wsTEBNevX0dubi6WLFmCdevWSddNTEzElStX0K9fP5mL+/Xr17Fs2TJYWVnBz88PNTU1OHfuHCwtLREeHi639ry++PXXX7F161bY2tpi7ty5ctfp2bMnJk+eDEDxd/Thhx/i/PnzcHR0hLe3NyorK/H333+Dz+cjNDRUbuUsXbZmzRpcvHgRHh4eGDFiBGJiYvDgwQNMnDgRO3bskHZXDA0NBQCsWLFCum1VVRXeeecdpKenY8KECXBycsJff/2FrKwsfPbZZwq/Z31RVFSEsWPHQiAQ4J133lFYRXHp0qUwNTWV+x1FRERg+fLlYLFY8PHxga2tLe7evYvU1FRMnjwZ27ZtU7pLqK7Kzs7GrFmzUFRUhFdffRVubm6Ij49HVFQUevfujSNHjkjH9ejjcRQVFYWIiAgIhUKMGjVKOh+TxIQJE1BVVYWAgAAEBQXpdYuhPMr+RugzVc51Ho+HWbNmITU1FYMGDYKnpyfS0tJw/fp12Nvb4/jx4zLXSsm1uWvXrpg0aRIKCgpw6dIlODs7IywsTKZLoz5dg1U577/77jvs3bsXvXr1wtixY/H8+XNcv34dQ4cOxcGDB2XGmbTW70vCz88PmZmZCrszArXdudvqMXbq1Cls2LABGzZsqFeMSxeOo/j4eMydOxcsFgt+fn4wNDTE2bNnIRQKcfjwYaVa6Chh0gE3btzAvn37EB8fD4Zh4Orqinnz5sHPz09mPckBOW3aNGzdulVm2d27d7Fz504kJCTA3Nwcw4YNw9q1a6X9PPXVsmXLcPXq1QbXGTduHHbv3g1A8XckFotx5MgRnDhxAmlpaWjXrh2GDh2K4OBgnW3KbohAIMDPP/+MP/74AwUFBXBwcIC/vz+WLFki8+MjmXFcMj+ERHFxMbZv346IiAhwOBz07NkT77//vjTx1GdXrlxBcHBwo+tFR0fD2tpa4Xf0+PFj7N69G48ePZKOyZk5cybmzJkjfcql7woKCrBjxw7cvHkT5eXl6NSpEyZOnCi9CEm0xuOoqqpKpZZHfaPsb4Q+U/Vcr6ysxM6dO/H333+jqKgItra2GDNmDFauXIlOnTrV2+7ixYvYt28fnj9/DhsbG4wePRpr1qyRu64+XYOVPe8ZhsGxY8dw7NgxZGZmomPHjnjzzTexfPlyuYPkW+v3BQCjR48GANy+fbvB9drqMdZQwqQrx9HTp0+xfft2PHr0CMbGxhg4cCBWr16t9PhVSpgIIYQQQgghRIHW8ZiUEEIIIYQQQjSAEiZCCCGEEEIIUYASJkIIIYQQQghRgBImQgghhBBCCFGAEiZCCCGEEEIIUYASJkIIIYQQQghRgBImQgghhBBCCFGAEiZCCCGEEEIIUYASJkIIIYQQQghRgBImQgghhBBCCFGAEiZCCCGEEEIIUYASJkIIIYQQQghRgBImQgghhBBCCFGAEiZCCCGEEEIIUYASJkIIIYQQQghRgBImQgghhBBCCFGAEiZCCCGEEEIIUYASJkIIIYQQQghRwEjbARBCCCEtITU1FYmJiaioqEBAQAByc3NhY2MDCwsLbYdGCCFEh7EYhmG0HQQhhBCiKc+fP8fGjRvx5MkTAACLxUJCQgJ27tyJAwcOYPPmzfD19dVylIQQQnQVdckjhBDSamVlZSEgIAAJCQl466238Morr0DynLBbt24Qi8VYt24dHjx4oOVICSGE6CpKmAghhLRaO3bsAJfLRVhYGL799lt4enpKl02dOhXh4eEwMzPDzz//rMUoCSGE6DJKmAghhLRad+/exaRJk9C/f3+5y3v37g0fHx8kJCS0cGSEEEL0BSVMhBBCWq2qqirY2dk1uI61tTXYbHYLRUQIIUTfUMJECCGk1XJycsLDhw8VLmcYBlFRUXBycmrBqAghhOgTSpgI0aBTp07hu+++a/Z+eDweTpw4AQAIDQ3F8ePHm71PZaxfvx43b95skfciRBP8/f0RGxuL7du3QywWyyzj8/n45ptvkJiYSFXySKtB1x1C1I8SJkL0QFFRkfTCRQhR3nvvvYcRI0bg559/xsiRIxEWFgYAmDdvHl5//XUcOnQIHh4eWLx4sZYjJUS30HWHkH/RxLWEtIDDhw/j/PnzYLFY8PX1xfz587F+/XqYmJggJycHhYWF2Lp1K/r3748TJ07g6NGjsLGxgbGxMXx9ffHo0SM8f/4cO3fuBABcvXoVf/75J8rLy7Fq1Sp4e3vLfd+0tDRs2LABRkZGEIvF2LZtG7p06YKvvvoKcXFxEAgEWLFiBcaOHYvPP/8c+fn5KCwshLe3N9asWSPdj0AgwBdffIGMjAyIxWKsXr0aI0aMaJHvjpDmMDY2xi+//IIDBw7g5MmTSE9PBwBER0fDwcEBAQEBWLp0KUxMTLQbKCFqRtcdQtSHEiZCNCwrKwsPHz7EsWPHAACLFi3C6NGjAQAODg7YvHkzwsPDERYWhtWrV2Pfvn04ffo0TExMMH/+fABAUFAQUlJSsHz5coSGhqJz5874+uuvcf/+fezbt0/hhevu3bvw8PDARx99hAcPHoDNZiM+Ph5lZWU4efIkKioq8Ouvv8LNzQ2DBw/GjBkzwOPx8Prrr8tcuE6cOIH27dvjv//9L8rKyjB37lxcuHBBw98cIephZGSExYsXY/HixaipqQGbzYaFhQUsLS21HRohGkHXHULUixImQjQsPj4eQqEQCxcuBABUVFQgIyMDANCvXz8AQJcuXfDo0SNkZmaiV69eaNeuHQBgyJAhcvcpKZFsb28PLper8L2nT5+OvXv3YvHixbCyssKaNWuQlpaGwYMHAwBsbGywevVqVFVV4cmTJ7h37x4sLS3B5/Nl9pOSkoKHDx8iLi4OACAUClFaWtpo9TFCdI25uTnMzc21HQYhGkXXHULUixImQjTMzc0NXC4X+/btA4vFwoEDB9C3b19cvnwZLBZLZl1nZ2e8ePECXC4XJiYmiIuLQ8+ePWFgYCAzYP3l7RS5evUqPD09sXz5cpw/fx779u3DuHHj8OeffwIA2Gw2Vq9ejTfeeANWVlbYvHkzMjIyEB4eDoZhpPvp2bMnunTpgqCgIHC5XOzZswe2trZq+HYI0azly5crtR6LxUJoaKiGoyGkZdB1hxD1ooSJEA3r0aMHbG1tMXv2bPD5fHh4eKBz585y17Wzs8OSJUswZ84c2NragsfjwcjICB06dIBAIMC3334LMzMzpd97wIAB+OSTT7Bnzx6IxWJs2LAB7u7uiIyMxOzZsyESiRAcHAwHBwd8+OGHePz4MUxMTNC9e3cUFhZK9zNr1iz85z//wdy5c1FVVYU5c+bAwIBqxhDdd+XKlQaXs1gsmJmZwdjYuIUiIkTz6LpDiHqxmLrpPCFEq4RCIfbu3YsPPvgADMMgICAAa9aswfDhw7UdGiF6KScnR+7rXC4XGRkZ+OWXX8DlcnHw4EEa00TaJLruENI4lVuYMjMz4ezsrIlYCGnzjIyMwOFwMG3aNBgbG8PDwwPDhg1rdLtNmzYhNTW13ut79+5V6ckgIa2No6OjwmW9evXCqFGj4Ofnh23btuGLL75owcgI0Q103SGkcSq3MLm5uWHIkCGYMmUKJk2aBBsbG03FRgghhGjc//73P5w7dw63b9/WdiiEEEJ0kMqdQadNm4Znz55h06ZNGD16NFasWIErV65AIBBoIj5CCCFEo8rKylBVVaXtMAghhOioJo1h4vP5uHr1Ks6ePYtbt25BJBLB2toavr6+8Pf3V1iSUt9xuVzEx8ejY8eOMDQ01HY4hBCiF0QiEYqKijBgwIAW76qjKBESi8XgcDiIiIjAli1bMHDgQBw/frxFY1MGXXcIIUR16r7uNLvoQ0VFBS5evIhLly7h0aNHEIlEcHJygr+/P6ZMmQInJ6dmB6krHjx4gICAAG2HQQgheuno0aNKjY1QJzc3t0bLIRsYGGDv3r149dVXWygq5dF1hxBCmk5d1x21VckTCAS4cuUKvv32W+Tm5tbunMXCK6+8guXLl8PT01Mdb6NVGRkZmDBhAo4ePYouXbpoOxxCCNEL+fn5CAgIwF9//YXu3bu36HvPmzdP7ussFgvGxsbo2bMn3nnnHbi5ubVoXMqi6w4hhKhO3dedZs3DJBaLcevWLVy4cAFXr15FTU0NjIyMMGHCBEyaNAmJiYn4/fffMW/ePGzevBnTp09vdsDaJOkO0aVLF3Tr1k3L0RBCiH7RRpeyw4cPt/h7qhNddwghpOnUdd1pUsL04MEDXLhwAZcvX0ZZWRkYhsHgwYMxZcoUTJ48GdbW1gCASZMmYc6cOfDz80NoaKjeJ0zNkVtUhcOXEgEAtpam6NrRAm7d7dDL0QaGhjQRGyGEEEKIPknPq4RAKEIfp/baDoVomMoJk7e3N/Ly8sAwDBwcHBAYGIipU6fCxcVF7vpdunSBk5OTtJteW5VbXI27T/IgFsv2gLS1NMUYz26Y+kYvdLBpp6XoCCGkdfjmm2+atB2LxcL69evVHA1pi/JLqpFVwMbQvp3ogWgrl5FXCQCUMLUBKidM5eXlmDp1KqZOnYoRI0Yotc2iRYvafN/rYf06I+xrX3C4QpRUcpFVwMbTFyW4G5eH0zdScfFuOqZ798HMcX3oB5YQQpro4MGDTdqOEiaiLskZZQCAMjYP9rb0IJSQ1kDlhOnu3bvS8nwikUimb2BOTo7cWdX9/PyaEWLrYWZiBDMTI7S3NkPvbrYY6+mEwGkDce1BNo5dTsSxy0mIfVaET+YNQ3trmiWbEEJUdejQIW2HQAghpJVROWEyMzNDZGQktm7dirfffhsLFiwAADAMg0mTJqF79+745ptvMGDAALUH2xoZGxli4ivdMXqQA0LCY3A3Lg8bdt/GlqBR9GSKEEJU5OXlpe0QCCGEtDIq9/168OABlixZgszMTLRr9+8NPZ/Ph7+/P/Ly8jBnzhzExcWpNdDWzqKdMdbPH47p3n2QU1SNjbvvoKKKp+2wCCGkVeDxeCgoKEBeXh5yc3ORm5uLnJwcZGRkIDY2FiEhIdoOkRBCiI5SuYVp165dsLCwwIkTJ+Ds7Cx93dTUFFu2bMHSpUvxzjvvICQkBPv27VNrsK0di8XCfN9+YLGAE1ef4ZuD0fgq8FUYG9GYJkIIaQoOh4P169fj6tWrEIlEDa67cuVKlfZdVFSE0NBQ3LhxAyUlJbCxscHIkSOxatUqmUnbT5w4gf/85z9y9zFo0CCEh4er9L6EEPVgGAYPkwrR0bYdune11nY4bY5QJIaRnozbVzlhSkxMhJ+fn0yyVJezszN8fX1x7ty5ZgfXFrFYLMz16YfcomrcicvFGsS4lwAAIABJREFUgfNPsWTqQG2HRQghemnnzp24fPky7O3t4e7ujqioKDg6OsLBwQEvXrxATk4O7O3tsXnzZpX2W1RUhBkzZiAvLw+jRo2Cr68v0tLScP78edy6dQthYWHS6rHJyckAgCVLlsDU1FRmP229IBIh2iQQilHNEaCaI6CEqYVVcQR4mFiAbp0s0aubrbbDaZTKCZNIJAKP13BXMRaLBYZhGlyHKGZgwMLqWUOQkV+Js7deYFi/zhjSt5O2wyKEEL1z5coVdOnSBRcvXoS5uTmCgoJgbGyM0NBQALUJ1a5duxq9rr0sNDQUeXl5WL9+PRYtWiR9/cyZM/j444+xdetW/PjjjwBqEyZbW1usW7dOfR+MEEL0WDmbCwDILqzSi4RJ5XYwNzc3REREoLS0VO7y8vJyREREoG/fvs0Ori0zMzXCh3M8YWjAwg+/xaCGK9B2SIQQonfy8vLg7e0Nc3NzAED//v0RExMjXb58+XL069cPx48fV2m/V65cgZ2dnbTwkcSUKVPg7OyM27dvQywWAwBSUlLg6urazE9CCCFEW1ROmBYsWIDi4mLMnz8fFy9eRE5ODioqKpCbm4s///wTCxcuRGFhIRYuXKj0PoVCIQ4cOABfX194eHhg3Lhx2LVrFwQC5ZKE+Ph4LFu2DCNGjMCAAQMwfvx4fPfdd6ipqam37kcffYS+ffvK/ffdd98pHXNL6O1ki3fHu6K0koujl5O0HQ4hhOgdIyMjWFhYSP/b2dkZJSUlKCkpkb42YsQIpKenK71PkUiEwMBALF++HAYG9S+jJiYmEAgEEAqFyM/PR3l5OT1EJIQQPaZyl7zx48djzZo1CA0NxYcfflhvOYvFwooVK+Dj46P0Pjdv3oywsDB4enrC29sbjx49QkhICJKTkxutXHTv3j0sXrwYADBx4kR06tQJ0dHR2Lt3L+7du4ejR4/K9BlPSkqCvb09Zs2aVW9fnp6eSsfcUt7x7oOIh9k4fzsN44c7o4eDjbZDIoQQveHs7CwdQwQAPXr0AMMwSEpKwqhRowAAAoEAbDZb6X0aGhrWa1mSSE1NxYsXL+Ds7AwTExPpewsEAixbtgwxMTHgcrkYOnQoVq1aBQ8Pj2Z8OkIIIS1B5YQJAAIDAzFx4kRcunQJycnJqKyshLm5OVxdXfHWW2+hZ8+eSu/r0aNHCAsLw8SJE7Fjxw7p+Kf169fj9OnTiIiIwNixYxVu/+WXX4JhGBw/flx64WEYBp9//jnCw8Nx7Ngxaf9ygUCAtLQ0jBkzBitWrGjKR29xJsaGCHx7IDbtvYd9Z+KxJehVsFgsbYdFCCF64c0338SuXbsQEhKC+fPnw83NDTY2Nti7dy+GDBmCkpIS/Pnnn+jWrVuz30ssFuOrr76CWCzGzJkzAfxb8OG3337D6NGj8fbbbyMjIwPXrl3D/fv3sWfPHrz22mvNfm9CCCGa06SECQBcXFzwwQcfNDuAo0ePAqjtRy5JBFgsFtauXYszZ87gxIkTChOm58+f48WLF5g4caLMUzoWi4Xg4GCEh4fj5s2b0oQpNTUVAoFA77pGeLp1xlC3TniUVIiY5CIMdaMCEIQQooxFixbhxo0b2LNnDxwdHfHOO+9g4cKF2LFjB7y8vCASicAwTLOvZ5IHdZGRkRgwYIC0BUosFsPR0RGrV6+Gv7+/dP2oqCgsXLgQGzZswNWrV+tVzyOEEKI7mpwwcTgc5Ofng8/nK6yI5+bm1uh+Hjx4gPbt29cbENu5c2e4uLggOjpa4baWlpZYt26d3MG0JiYmACAzjknypE/fEiYAWDjZHTHJhThw4SkGu3aEgQG1MhFCSGPMzc1x/PhxXL58Ge7u7gAgrZR34cIFmJqaws/PDwEBAU1+D6FQiM8++wynTp2Ck5MTdu/eLb0GBQUFISgoqN42Xl5e8PPzw+nTpxEVFUWtTERGRRUPFu2M9WaOGkJaO5UTJi6Xi88++wyXLl1qdBLAxMTEBpfz+Xzk5+dj0KBBcpc7OjoiLS0NpaWlsLOzq7e8S5cuWLJkidxt//77bwBA7969pa9JEqa0tDTMmjULycnJMDMzw5gxY7B69Wp07ty5wXi1qYeDDcYM7YaIh9mIjM/DKA8HbYdECCE6TyAQwNjYGL6+vtLXWCwWFi9eLB3/2hwcDgerVq3CjRs34OLigl9//VXpa4m7uztOnz6N7OzsZsdBWo+qGj4epxTBop0xhvXT3fsSQtoSlROmHTt24Ny5c7Czs8OQIUNgZWXV5DE15eXlAAArKyu5yyWvs9lsuQmTIsXFxdJiEe+++670dUnCtHv3brz55psYPHgwYmNjcerUKdy5cwfh4eE6PYngu2/2xY1H2Qj/OwWvDuxKY5kIIaQRo0ePho+PD/z8/DBs2DC17ruiogJLlixBbGws3N3dsW/fPnTo0EFmnadPn6KmpgbDhw+vt71k7ifqjkfq4vBqH0ZXc2g6EUJ0hcoJ08WLF9G9e3f8/vvvsLS0bNabC4VCAP92n3uZ5HVVJhRks9lYunQpiouLMW/ePJmxTWZmZnBxccHOnTvRp08f6et79uzBDz/8gC1btmDnzp1N+SgtwrGjJUYPdsTNmBxEJxbAy113kztCCNEFdnZ2CAsLQ3h4OLp27Qo/Pz+89dZbMteApuDxeAgMDERsbCy8vLywZ88eudfE4OBgFBQU4M6dO/Ue/D18+BAAMGDAgGbFQgghRLNU7hxbVlaGN998s9nJElCbwABQON8Sn88HALRr106p/ZWWlmLBggV4+vQpxo4di/Xr18ss37VrFy5fvlzvQhkYGIhu3bohIiIC1dXVqn6MFjVzXO14rbC/kxWOHSOEEFLr0qVLOH36NN5//30YGBjgp59+gr+/P6ZMmYJffvkFBQUFTdrv9u3bERMTgyFDhmDv3r0Kr4k+Pj4Qi8X4/vvvZX6zL126hOvXr2P48OE0qS0hhOg4lVuYunfvjry8PLW8uaWlJQwMDFBVVSV3uWReDEVd9urKzMzE+++/j8zMTHh7e2PHjh0wMlLu4xkYGMDNzQ3Z2dnIz89Hr169lP8QLax7V2uMHNgVkU/y8DilCEP6UsU8QghpiJubG9zc3LBu3TrExcXh/PnzuHz5Mr799lts27YNw4YNg7+/P6ZPn67U/oqKiqQVXnv27Im9e/fKXW/p0qVYtmwZbt68ifDwcCQnJ8PT0xNpaWm4fv06OnbsiG+++UZtn5MQbcsvqUZJBRf9e3ZofGVC9IjKCdOCBQvw5ZdfIi4urtkT7pmYmMDBwUHhgNfs7GzY2dnB1ta2wf0kJibi/fffR0lJCaZNm4YtW7bUS5Y4HI60yIO86n1cLheAfvQlf3e8KyKf5CHsSgolTIQQogIPDw94eHhg48aNiIyMxP/+9z9ERUUhOjpa6YQpNjZW2jPi999/V7jeggULYG1tjd9++w07d+7E33//jcOHD8PW1hbTp0/HypUr0akT/YaT1iM5owwAwOUJYWba5ELMLUZdQ8E5PCGKymrg1Lnp4/qJblP5aDYyMoKrqyvmzJmD4cOHw8XFRe4YJBaLVa9LnDyenp44c+YM0tLS0KNHD+nrBQUFSE9Pb3DSWgDIyMjAe++9h9LSUixatAiffPKJ3IO1uLgY7777LlxdXXHu3DmZZRwOBwkJCbCzs4Ojo2OjMWtbr262GNavMx4kFuDpixJ6kkMIIUricDiIiIjApUuXcOfOHdTU1MDa2ho+Pj5K72P8+PHSIkLKsLa2xsaNG7Fx48amhEwI0XExyYUQCMVoZ2qMju2VG0ZC9IvKCVPdJCgyMhKRkZFy11M2YZo6dSrOnDmD77//Hj/88AMMDAzAMAy2b98OQLbK3cvEYjHWrl2L0tJSzJ8/v8H3c3JyQv/+/fH06VOcPXtWOoEgwzDYtm0bSktLERwcrDdPBmaM64MHiQU4ee0ZJUyEENIAPp+P69ev4+LFi7hx4wa4XC6MjY3xxhtvwN/fH2+88YbC4kOEkNaHXcNHURkH3To1fzw+AAiE4tr/bWS6HaK/VE6YDh06pNYAXn31Vfj6+uLixYt49913MWLECMTExODBgweYOHEixowZI103NDQUALBixQoAwJUrVxAfHw8TExOYm5tLl9dlb2+P2bNnAwA2b96MefPm4eOPP8Zff/0FR0dHPHjwAPHx8Rg+fLjcyQV1lXuPDnDvYYcHiQXIyKtE967W2g6JEEJ0zocffojr169LJzH39PSEv78/fHx8YG1Nv5uEtEWPkgoBAJbmxlqOhOgLlRMmLy8vtQfxf//3f+jduzf++OMPHDx4EA4ODli5ciWWLFki0+IjKfktSZiio6MB1D49/PHHH+Xu283NTZowDRgwACdPnkRISAju3buH69evw9HRUfpe+vaE8R3vPkj45T5+j3iGtXM8tR0OIYTonAsXLqBXr17w9/eHn58fHBxo0m91KWfzIBCKm9QFqaqGD1MTQxgbGWogMkKUIxZrr9pwZTUfFu2MYWigHz2b2romj8gTCoW4c+cOkpKSUFFRgY8//hjJycmwsLBAt27dVNqXsbExgoODERwc3OB6L/cZ//TTT/Hpp5+q9F69evXCjh07VNpGVw1z6wznLla4GZODuT790MnOXNshEUKITjl16hTc3d21HUarFPusCADwRnvVrvkCoQgPkwphZGiAUYMaTmCzCthob20Gy3bUEkBajzI2F3HPimFnY4aBvey1HQ5RgsrzMAHA/fv3MX78eAQFBeH777/Hr7/+CqB2XomJEyfil19+UWuQRD4DAxbeGdsbIjGD0zdTtR0OIYToHEqWdI9kvIdQJG5wvaoaPl7kVOBhYtPmylIVzW1IWkpVTW2VzdIKrpYjIcpSOWFKTEzE0qVLweFwEBgYiAkTJkiXDR48GPb29vjuu+9w7do1tQZK5Ht9SDfY27bDX/czUFnN13Y4hBBCiFqIWrC71NMXJbj1OIeSJkKIXConTCEhITA1NcWpU6ewevVqmRnKx4wZgxMnTsDGxkba6kQ0y8jQAFPf6AUeX4QLt19oOxxCCCFE7xSXc8AwgCRfquEK8OR5MTg8oXYD01NZhWxth0CIWqmcMD18+BA+Pj4K5yvq1KkTJk2ahGfPnjU7OKKcCSO6w7KdMc7dTgOXftwJIYSoCZcvxK2YHOSXVGs7lBb1LLMcpZVcPM8q13Yoeim3SP7xIhCKcSc2F7lFVS0cEdElIjEDkUi/WnNVTph4PB7MzRsuLmBoaAgej9fkoIhq2pkaYfLoHmDX8PF3VKa2wyGEENJKFJVxIGYYJGeUaTuUFiG5hRP/09Qkpi56alXG5kIoEuOZHiSiokbG2Gna45RCPExqmfF7Le1ObA7S8yq1HYZKVE6YevXqhTt37kAsln8gCQQC3L59Gz169Gh2cER5fqN7wsTYEKdvPG90IC0hhLRlkjmZCFFET+awJxpSVcPH7dhcpOVWaC2Giiq+tDhEa6OPzyFUTphmzJiBZ8+eYf369Sgrk33iVFJSgnXr1iEjIwNvv/222oIkjbOxNMUEL2cUlnFw+3GOtsMhhBCdwTAMjh8/jhkzZmDgwIEYNmwYAODIkSPYsGEDiouLtRwhIURXlFVy8fCfiW0z83VzLJZAKAK7puUKfXF5QtyPz0NZpWpV/RiGQUUVr1UUU1F5HqbZs2cjJiYGZ8+exblz52BqagoA8Pb2Rn5+PsRiMcaPH4+AgAC1B0saNnVMb1yMTMfvEc/xxtBuMpP+EkJIWyQUCrFs2TLcunULRkZGsLCwQEVF7VPj7Oxs/PHHH3j48CF+++032NnZaTlaom1VNXxYW2hmEnuBUIy7cblw6WqN7l2tNfIe+kogFKOskouO7dtp/d5FHwpWRCUUQCgUY+TArjAx1vzkz9lFVeDyRUhIK2107jSJrAI2XuTU/ta2hmO+SfMw/d///R++//57vPrqq2jXrh0MDQ1RVVUFT09P/Pe//8XOnTu1fsC3RZ3tzPHaIEek51VKn44QQkhbtn//fty8eRMLFy5EVFSUzMO8devWYcWKFcjMzMRPP/2kxSiJqrIL2YhNKVL7k+vHKUVIzdFMNyxJi4C+jd0oreQiKiEfPIFIY++RlF6KxPRS5Jdov7ssowejGoQvzWVWwxXo3HCMF3XOozK2/s83pXILk8SkSZMwadIkdcZC1OAd7964EZON3yOeYVi/ztoOhxBCtOr06dMYOnQoPvnkEwCQeZhnZGSE4OBgREdH4/r169iwYYO2wiT/4PKEEIoZWLYzbnC91OzamzG+UAxTNT9hLy7nwMxE80/tXyYUiVFcztG5B87xqcVgGCC3qAo9HGzUtt+MvErYWJrC1soU5VW1hcJquNods5OSWSaNRZPUldwwTG1xiuiEAhgbGeBVD+Vaf1paRZX+zxPapBYmort6ONhgqFsnxKeWICmjVNvhEEKIVmVlZUnHLCkyYMAA5Ofnt1BEpCH3n+bjYaJ2K4Npa7jF8+xyJGeUITNfv1qgmio9rxKxz4q0HYaMvOKWKZ+vytioWzE5ePqiROFy4T8TPAuEutXC1Nqo3MI0bdo0pdZjsVg4deqUygGR5ps+tg8eJRXi5NVn+M97I7QdDiGEaI21tTVychouhJOZmQkrK6sWikh/FZdz0N7aDIYGutUC0lpIKqLVcFvHfIoikRiGhqo9l2+J1jV9K0AgZhgUl3O0HUabp3LClJiY2Og6Dg4OsLbW78Fd+mxArw7o52KH+0/zkZJZBlfn9toOiRBCtGLkyJH466+/kJiYiH79+tVb/vjxY1y7dg0+Pj5aiE63FZbVoKjs3xu1py9K0NXeokWuKel5lSrd2JZVclFSwUVvJ1sNRqUZYjGD0kouxGL9upFvjJgBJB0bGYYBh6cbiaA6xqjxBSJkFqi3OARfIEJOURWcOlvBSIVEUx0pZn5JNZIzyjDcvTPMzRruDttWqZwwJSUlyX2dy+UiMzMTe/bsQVxcHA2g1SIWi4V5vv2wcfcdHLqYgC1Bo7QdEiGEaMXKlStx/fp1zJ49G9OnT0dGRgYA4I8//sCTJ09w8uRJmJiY4IMPPtBypLonMa1+t+7K6pYZi5ChZGEESVIV97y2NHwXe4tGxz/pmuxCNtJyW3c3vGdZ5cgrrkbnDubaDgV5Rf92u2vqhMzPssoVtvpUcQQwNTaAsZFq4+CSM8pQWsmFSMSolPirI81Oyaz9HgpKaxocp8bIebecoio8zyqHV/8uaGfa5NIIOk9tY5jMzMzg6uqK7du3w8rKCt9++626dk2aYGAvewx164TYZ8V4nEIV8wghbZOzszMOHjwIJycnHDlyBLdu3QLDMNi4cSOOHTuGTp06Ye/evejVq5e2QyXqoO7uVmrcnaIWsyqObkxOqu6uapKbcAAo+Kf6XWUjg/+FIjFuxmQjq5mtN1yeENUa/F4FQvkVA0UiBg8TC3AvXvUxkaX/zHGkyWqEijT2p2+oFet5VjkAtPpug2pPBVksFkaNGoWTJ0+qe9dERfMn9cOjpEIcvJiIQX066lzlHUIIaQn9+/fHuXPnEBsbi/j4eLDZbJibm6Nv374YPnw4DAyo/lFLYRgG0QnaLeqgDJZaOjr9q7CsRm6LnTLEYgYGLTBuLDqhACwWMNy9CwCgnM1DFafpLYpNuYEuZ/PAMLUlqZ06N31c4f2ntQnLG0O7NXkfTSH6p1tlS3avbOqRIRIzeJZZBoeOlmqNp7XSSNtZVlYW+Hz9LyGo73p1s8Vrgx1x63EO7j7JwygdLTdJCCEtYdCgQRg0aJC2w2jTNH0fWXf3DMMgJbMMHdubw87aTLNv3IicwqombVdSwUF8agn69bBDp/ZN684mFIlhwGI1mnTVHWPEMEyLVbBjGEanCzFUVtefzFgo0t14lVVUVoOC0tp/pHFqG8PEMAxqampw/fp1XLlyBSNHjmx2cKT55vq44U5cLg5fTICXexcYG9GTVEJI63X16tUmbztu3Dg1RqK/Siu5qGiBuWhUJRIziEkuhKOST8TZNQLkl9Qgv6SmyS0NLTEnT0NyimoTrcS0UpgaG0IkZlRO/u7E5sLUxBCvDOiq1PpFZRyI1ZzAyBv7IhGdUKC1Uu7KSMoohdc/rW4Sys4XlV9SjXamRrCxNNVEaM3S2oqMaJrKCdPUqVMb7NrFMAzatWuHtWvXNiswoh4OHS3hO9IF5++k4czNVEz37qPtkAghRGOCg4NV7n7MMAxYLJZSVWDbgif/FFDQNZVVPFRzBDJjYxqirlaLKo5Aa4Uk6n6Exym1LT5NSf54fOXHxSSklcClq3oqHbNr+Cip4DaYELVk9TwOT6h6MtjEw4hhGGlRiZbqGsiu4cPI0EC54gtq6OUpGb/UFqg1YTI2NkbPnj3h5+eHDh06NDs4oh4BPm64FZuDsL+TMWZoN9jbttN2SIQQohFNSZjaAoFQDIFQpLGSwVUcAYwMWTAzaYVVspqReAmEYhSV16i9xUbT1BXtoyTZolPaLi3ekjf42viTS77vlxO0ojIOCstq4N7DDiwWCxyeEAJB/YluVZ0DTNIC2hao/Mu2detWTcRBNMjS3AQLfN0REv4Yv5yNxyfzh2s7JEII0YgVK1ZoOwSdFPkkFwwDvD7EsVkJpaJWm4eJtYUcJDdqZWwuwADtlew+Jmnl00UMascS2ViawsjQACKRGAyg1Fw5z7LKZOayqosvECEhrQRcFVp/1KmaI8DTtBL0c7GDlblJ4xvoqccpheALxPDq36XZiWsNV4CiMo5SyVBL5EsJaSVKlSBPSCsBUPtgw8rcBFFP5Vfxa6xQh0jEILe4Cg729bvFqnscmkAo1qlhJK3wURCRZ9xwZ1y+l4HbsbnwSSnCINeO2g6JEEJaVExMDJKSksBms9G+fXsMGjQIrq6u2g5L47g8ofQGj2GAl/OSKo4ADMOo9aY57llttz5luiJV1fDxMKmw0Rs/ubdjLXBXWlzOQWY+G+2tTeHRuyNux+YCUPKzNVDaOrOAjYpGymxr8vM9TSsBhyvEo6TCFq8mpwiXr1oLB8MwiE8tQecO5gqLYjT6HUveW4nWr5iUIgiF9VtmtKWGK0TCC/nVF6s4AtRwBRCoGG9mfiWcuyjukvkssxwO9pZyy7arqyW7qIyDhLQS9HGy1ZkqfionTPPnz2/SG7FYLBw8eLBJ25LmMzBgIehtD6zdcQN7TsVhx4djYGqs2qRqhBCij+7evYtNmzYhKysLwL9PQlksFgYMGICvvvoKbm5u2gxRYwRCsbTEMlB7/123NYfLE0pbh1716KryZJsAIBI17wYyr6R2ItEX2RXN2s/Lnmf/2/2KLxChhiuErZXqg+8lN4ZllfULQLBr+HiRXQG3HnZ6d03lNND9SltV61R928pqPkoruSit5Da5iqDEs+zGu+s1J1mqqOLBsp0xDF9qmbz1OAejBzVexbiGK5CbiAgVnH+S87quskpuow9G0nL/TZi4PKHCFtAHcvZ//2keRCIGrw12rLeMJxApfY4UltVW7nuWVa6/CVN2djY4HA7KymoHspmZmcHa2hrl5eXSUuIsFqveyaarTe1tSW8nW0we1QPnb6fh0MUELJkyUNshEUKIRj169AiBgYFgGAZ+fn7w8PCAvb092Gw2Hj16hPPnz2PBggU4fvw4evbsqe1w1Y7/0iSYtx/nwNzMSDrXjiRZAYDici662luo/B6SFpemyi2qjUGd43zEYgZVNf8+AX+QWACBUIwR/bvATJkB8Up68rwYAqEY957kaaSVRiSnklkNV4C84moYGLDQw8FGp7szNpdIJK6XYCiSklkGMxPDBltHGqLJqnFlbC7inhXD1soUg/rI9vARixnwlUjEohMKmn2M1U2GlCF52KLM70J+SQ1E/5Rbl3fcNnSOcHhChYUqVEm0NEnlX42jR49i/vz56N69Oz755BMMHjxYeqImJyfju+++Q1xcHPbt2wcXFxd1x0uaacFkd8QkF+HszRfwcu9S78QlhJDWJDQ0FEZGRjh48CA8PDxkls2YMQMzZszAwoULERISgh9++EFLUbYsVQd2v0woEsskI7ro6YsSmf+WdEviC8Uw+6eRiS8QwUTujRgjU0GMJ5D/hJ3LF8p0d9LEmAt2Tf3uZHUn/m1vZYbYZ0Xo52KHTnYNt7A0N7HKzGejU3tzWLRQxcCUzDLkFVfDq38Xpaq+5RXXJt5NTZgao3KrW531Ja155ezGy9QXl3OaNOmvOpVWcmVKoUu+24bULeihajGIMjYX7UwtIRSJ1TxltPqofGZ//fXXMDQ0xKFDhzBkyBCZk69v377YvXs3OnfujJ07d8LKykrmH9E+MxMjrJ0zFAYGLPzwW0yD/asJIUTfPXnyBD4+PvWSJYmhQ4di4sSJuHfvXgtHpl2SJ8B1r+HK3ks/TS1R26SmNx5lK7WeoptVBrItA5LVSiu5De4nq4CNyCd50q4/dfFfqh6m6D75frzswPm7cbl4kvpvSfa84mqF3d4YhlHL+KTc4tob04z8ykbXLWPzIBCKwK7hNzqPkLwWAgB4mFS/G5amSG7S2dXKjUFSRnMa4pozwWtmAVv6/+Udm7kvJRgvJ/yqUpTkA0CqEl0PnzwvxjMly/fLU1ndtPnL7sTmNrvFWlNUTpju3r2LcePGwcREfh9IY2NjjBw5ElFRUc0OjmiGq3N7zBrviuJyDn46FafTM2wTQkhzGBsbw8Ki4e4klpaWbe53ML4Zcy01NplrWZ0bwoZu3NSByxPi1uMcmdcUjekA/k1+8v/piqjqk/zENPkD7CVKK/797IqSNqB2bEZLe/K8GHfj8vAoqVCmlQqQk5AqOB3qrpZXXC2d4Di3uAo3Y5RLfnWVot8ADk+IGq5ApbmsAKBuzll3W3nznGXms+u91hz3nuQpXJZdqFzrT0kDx29TZRcq9zm13cImj8oJk5mZGdLT0xtcJyUlpdELFNHuoavnAAAgAElEQVSuGeNd4epsi+uPsnHhTpq2wyGEEI2YPHkyzp07h+xs+TdzRUVF+PvvvzFx4sQWjqxlKEoeGkt6FFEmrYyrc0N470leo60ZyihUUJpbXlLSUOuXMq0rgOKuU/JapJpCmS5OypDc4zd3DNP9l8pMN9alqqSCg5TMMjxOKQLDMHiWWa7ReYcYhoFAqFzCUrd1TJVxSQ1V04tOKEB6XuOteHVpYo6iMrb6kxhFNFENMDW7Qm6rcn5JDe7E6WbLkoTKCdPo0aNx7do1nDp1qt4ykUiEn376Cffu3YOPj49aAiSaYWRogPXzvWBraYq9Z+IRm6Ke7hWEEKJLZs6cCUdHR0ybNg0hISGIjIxEamoqEhISEBYWhoCAAPD5fAwdOhRXr16V+dcaqPvJdePvV/+mUh1dv5PS5bfsvHw7XFha0+D4qhc5FYhOKGj2OC51qFZDIln3SXxzWklVaT3h8oUyycXLyZYmPEmtbR1TpsXydp0Wx/xS2cRUmTFE6pKhYoKlDEXngb5jV/N1qly7PCoXfVizZg3u3r2LTz/9FPv378fAgQNhbm6OoqIixMfHIzc3F3369MHq1as1ES9Ro47t22HDwuH4dM8dbD0Uje2r32hShSRCCNFV/v7+0sqtu3fvrvckXnKTuWHDBpnXWCwWEhMTWzRWTajiKD/+4+WKek2Rllv/JpGlpmHcHCXmydHEE3h5882ogzpv3qs5AtyMycGIAV3AF4hRUcWDU2fNjB1/eeyWql3VmkJS0p3DFcLU2BCV1XwwDNNoZcW6N+HZhWyNtoIBAE/FeaT0VUoj45taYw9nlROmrl274sSJE/j2229x7do1PH/+XLrMwsIC8+bNw6pVq2BpqRt100nD3Ht0wLJ3BiEk/DG+2n8P3ywbLVMZhRBC9FlwcHCrLbncGIFQVK+AQV03Y7JlbmxULTmsdBwiEZ6kFsOpk1WzWlXkJXTVzazWV8MVNjjWSN/UTWbsbdspVV1OH8UkF6q8Taqa5/mSR1GxjNamsS6l6nwYoCvjS5t0JnXt2hXbt28Hj8dDZmYm2Gw2bGxs4OLiAkND7ddKJ6p5c0R3ZBawcfpGKj7/KRJbPnhVrTO+E0KItqxYsULbIWhNQ8kSIP8psLwudc31LLO2wEHdgghNIW/i2JfHYqna1a6aI5A7CL81EIsZaXELfVa3ZTH2WRE6tm+n9LZZShY4UBdN39vzBWKNF1LRNTy+CGYm2k/8mzVhgKmpKWxsbGBlZYVevXrpTBZIVLforf6Y+Ep3vMitwOc/3aVy44QQouea0rAmr0tdXYwWn6DLm5OIKFZYVoPkjKaXhtYVLxdbKFJQAESelh4X0xJjpOLUVNJfXzzWkTH2TUrZuFwudu7ciT/++AOlpaVgsVhISEjA/v37cfv2bWzatKlVzpjemhkYsLDsnUEQixn8HZWJTT9H4rP3R1D3PEKI3rt27RrOnz+PnJwc8Pnyb7pZLJbcYkZEFrcFxqsQ9Wjpgh+k4ZL26qILBUvaIpUTpurqasybNw8JCQno2rUrnJyckJWVBaA2kYqKikJAQABOnDiBbt26qT1gojkGBiwEzxgMkZjBtQdZ+CjkFj5fPALdOtGkw4QQ/XT06FFs2bKl0R4QbXWcEyGEkMap3CVvz549SEhIwH/+8x9cu3YNfn5+0mUrV67E1q1bUVFRgd27d6s1UNIyDA1YWPXuELw73hV5JdVYF3ILcc91ozmUEEJUdejQIbRv3x6HDx9GXFwckpKS5P5rDRXxCCGEaIbKCdOlS5fw2muvYe7cuWCxWPWeyk2dOhVjxozB/fv31RYkaVkGBizMndQPa2YPAY8vxOc/RSLsSnKbqf5CCGk9CgoK4O/vj+HDh8PEhIrZEEIIUZ3KCVNhYSH69evX4Do9evRAURG1Sug772HO2BI0CrZWpjhyKQkbdt1uFRV3CCFtR8+ePVFa2jone2wMdTMkhBD1UDlhsrOzQ2pqaoPrPHv2DHZ2dk0OiuiO/j07IHTdWIwa5IDE9FKs3BaBUxHPIdDxGZkJIQSonYfp0qVLuHnzprZDIYQQoqdULvowduxYhIeH4+bNm3j99dfrLb98+TJu3ryJmTNnqiVAon1W5ib4ZN4wRLhnYd+ZePx6/in+up+O9/0HYFi/zvQUkxCis8aNG4e5c+ciMDAQPXr0QLdu3eR2zWOxWAgNDdVChIQQQnSdygnT8uXLERERgaCgILz++usoL6+dkC40NBTx8fG4efMmOnTogODgYLUHS7SHxWLBe5gzhvXrguOXk3AxMh2bf7mPvs7tMX1cH3i5d4GBASVOhBDdcvbsWRw4cAAMw+DF/7N33/FRVOvjxz+7yW56ARJKAkkohiotgDSFgBpAKSKggAW8ICjlKnqv4u+rV7Bw71VBiheVIl0B6VJEqlKkSw09ISQhIaSHJFvn90fMSkgCCdnNbpLn/XopMHNm5tmZ2Z05M+c85+pVrl69WmQ5Wz/4MRqNLFu2jFWrVhEbG4u/vz8DBw7k1VdfRaPR2GSb8osshBDWUeoKk5+fH99//z0ffvghe/futaRq/eqrrwBo3749U6dOpVatWtaNVDgEbw8tYwa2pFenEJb/fJ6Dp2/wyXeHqVfLiz6dQ+jeti6e7tKxWgjhGObOnYurqyuTJ0+mbdu2uLm52SWOqVOnsnLlSsLCwujRowfHjx9n1qxZXLhwgVmzZtlkm5KoRwghrKPUFaacnBwCAgL49ttvSUpK4ty5c2RkZODu7k7jxo1l7KUqIriON++N6EBMQgZrdl9m7/FYvll3moWbztLp4To82jqQ1qH+uGofaGxkIYSwiri4OAYPHmzXZuLHjx9n5cqVREREMHPmTFQqFYqi8O6777J+/Xp2795NeHi41bd7MzXb6usUQoiqqNR3swMHDqRDhw5MmTIFf39/unXrVuYgytpUIS0tjVmzZrFnzx6Sk5Np2LAho0aNok+fPoXK5uTk8M0337B582YSExOpW7cuw4cPZ9iwYdIX5wEE1fbmzaFtGfF0M3Yfvc72Q9f49UQcv56Iw0XrRNvGNWn1kD8tGtYgqJaX7GMhRLmqW7cuBoPBrjEsX74cyGvSnv8bqFKpmDRpEhs2bGD16tU2qTCZTPKGSQghrKHUFabY2Fir/7CXpalCdnY2r7zyCpGRkfTq1Ys6deqwfft23nzzTVJSUnjhhRcsZU0mE3//+9/Zu3cv3bp1IyIigl9//ZWpU6cSGxvLO++8Y9XPVZVU83JlYPhDPNO9EZeup3Hw9A1+P3ODg6fz/oO85nzNG9SgWf3qNAj0oX6AD17SfE8IYUMjRozgP//5D0OHDr3vkBi2cvToUapVq0ZoaGiB6bVq1SIkJIQjR47YZLue7rbpGyWEEFVNqStMTZo04cyZM1YLoKxNFZYsWcLZs2f54IMPGD58OACvv/46zz//PJ9//jm9e/emRo0aAGzZsoW9e/fyyiuvWCpHf//73xk1ahTfffcdAwYMoHHjxlb7bFWRSqUiNKgaoUHVePmpZsTfyuL05WTOXL3FmSvJBSpQAH6+btQP8KZeTS9q+3lQp4Y7dfw88fN1w0mSSAghysjNzY2goCAGDx5MWFgYwcHBRfZjUqlUvPvuu1bfvl6vJyEhgVatWhU5PzAwkKioKFJSUqw+HIe3hzyQEkIIayh1hWnSpEn84x//YMiQITz++OPUrVsXFxeXIsv27Nnzvusra1OFFStW4Ofnx/PPP2+Z5unpydixY3nrrbfYtGkTI0aMsGzL2dmZsWPHWspqNBreeOMNnn/+eX788Uf+3//7f/eNWZRcgJ8nAX6eRHQMRlEUElOyuRSTxtX4dK7GpxMVl86Rc4kcOZdYYDlnJxU1q7lTs5o71bxdqO7tSnVvV6r9+aevlwuebho83bVSsRJCFOsf//iH5e+HDh3i0KFDRZazVYUpP5Osl5dXkfPzp2dmZlq9wuTuqqF2DXfSs/Q4OanwctfiqnXCaFK4nphpKeftoSWkjjenLt/Cv5obSak5lnkaZ7Vl3L2Hgny5diMDvSHv361D/cm4rSf2ZiZmM9Ss7oaPhwsuWiei4zOoV9sLRVGIvZmFs5OaW2k51K7hjsbZCVetE2lZOpJSc1CrVJj/TCBVx8+D2jU8MJsV0rN0ZOUYuJ1rwNfThRo+rqRn5W3P39edxsHVyMzW4+rijNZZzfXETDKzDdQP8C5wTWkd6o9W44SLxgm1WsX1xEyuxqVb5vt6uuDtqSUxJRud3kSbxjVx1TpxNT6d7BwjbZvUBMBsVriRfJsbt25jMplp0dCPyOgUbucYeCjIl+j4DExmBW93LUG1vYhJzCSkjjfXEzNJTs/F20NLrRrupGXqyLytJ1dvws/XjYzbOss+dXJS4aRWU7empyXG/DJuLs6E1PEhJjEDPx83fDxdOBqZ9zmdndUY7xgfsXFwNS5cSwWgaf3quGic+ONiUoHzIyTAG42TmkvX0/DzdSMlIxd/XzcaBPpgMiscjUzEbFao4eNKcnpu3jlQz5ebqdnczjXi4epMepYeZ2c1XVoGEHszk+xcIzdu3cbX04W0LF2R56WbqzNBtbzQOKs5ezUZ5Y6Wo0G1vcjM1qM3mPHzdcPPx5Vj528SWNMTg8FcqF+en68bWdl5+zJ/eReNExpnJ26l5ZCamUvLRn6kZORS3ceNY5EFz4vElGyysg00CPThZmo2KRm56PQmnJxUuGicCK7tjcmsEH0jHb3BTOeWdUjP0nP2anKBOJyd1BhNZhoE+uDhpuH05VtFfvb6Ad5ExWdY/u3tocXDTYOLxglfLxf0BjNRN9KpVd2d6PgMalV3J6i2F1di00nJyKWatwvurhpUQLbOSL2aXsQkZuDlriUjS49JUci8rS+03QaBPtxKyyHjdt7xMpsVPNw03M42UN3HFVetE7E3syzHx8dDi4+nC7VreHArLYesHAOKohCTkFlgvW0a1+T05VsYTXnnnq+nC9W8XbiemEX9AG9ib2bh7ZH33Qqs6UmdGh7cSL5N3M0stBo1TUKqc+rSLXy9XDCazGRlG3B2VhPg54Gzk5qk1ByahFQrcl+WN5WiKKVq5NykSZO/Fi6mP4qiKKhUKiIjI++7vm7duqHT6fj9998LzevVqxfJycnFNleIiYnhiSeeICIiolDTvaSkJLp27crjjz/OV199hV6vp02bNjRp0oQ1a9YUKGsymQgLCyMkJIT169cXG2tsbCw9e/Zk586dktzCitIydcTfyiIh+Tbxt26TcCubhOTb3Ei+TUYRX/y7ebhp8HLPqzx5uWnwctfi5uqMm4szrlpn3Fyc8v7ukjfNTeuMa/40rTNajRNajRqNsxPOTirpZyWEldnzt/Pw4cMlLtuhQwerbz8+Pp7w8HB69OjB3LlzC83/5z//yYYNG9i0aVOhJntg332Xfy0v6XQhHJ2cu1WHtX87S/2Gady4cVY72craVCEmJgaAoKCgQvP8/f1xcXEhOjoayMuUZDQaiyzr5ORE7dq1LWVF+fL1csHXy4Vm9WsUmqczmEjNyCU1Q0dKRq7lv4zbejKz9WRlG8jMzvt7TEImeoOpTLGoVKBxdkLrrLZUovIrVFpnJzTOarSaP/90dvrzaaAKtfrOP9UFpjmpVaidVKhVefPUahUqVd4YKSrVX3/n7r//GY/qjr/Dn2UK/P2OsuStoMDf79qOSlVwOnctm7fm/G0UXOed//6r3F+/B3eWsUz+q3ihsqo7VnRnmTt/YiwxWv5XeLsPqiyrKMv2yxy5ta73SvH/vPtZmpNaTe0a7hXuZsMWlaDScHV1BSg28YRen/dQyF7pzu+luGNd0c4BIfLJuSse1H0rTDt37qRBgwbUr18fgAkTJlht42VtqpC/vLe3d5HLe3p6kpmZWeJtRUVFYTQacXYuereYTHk34wkJCUXOF7bjpQGvGhBcQwsU3y5fbzSTnZP3el6nN5GrN5FrMKLTmcjVG8nVm9EZjH/Oy/vTYDT/9Z/JjMGgw2gyo9eZuX3bRJrJjNFoRm80Y5ZxTUQVNrhnKBEdg0u9XP5vZv5vqCMxGo2kpaWxd+9enn32Wauv39PTE7VaTVZWVpHz869RxV2b5LojhBClZ+3rzn0rTOPHj2fcuHGMHz++wPT4+Hji4uJo3779A2/caDQCoNUWfQOcP12nK7odbEmWz8nJKfW2iqswJSXltf/NTy4hhBBVyX93wX/LsHxSUhLBwaWvcJWFyWTiiy++4KeffiIlJeWeF09bVJi0Wi0BAQHExsYWOT82Npbq1avj6+tb5Hy57gghxIOz1nXnvhWm4ro4rV27lq+++qpE/ZSKU9amCvnJJvLLFbW8u7t7gbL32pZKpbpns4gWLVqwfPly/P39cXJyKracEEKIv5hMJpKSkmjRokW5b3v+/PksXLgQrVZLcHAw165do1q1anh5eREfH09ubi41atRgzJgxNoshLCyMDRs2EBUVZWmtAZCYmEh0dPQ9ExvJdUcIIUrP2tedUvdhsqayNlXw8fEBKHb5rKwsS0rx+5XNzMzE3d0dtVpdbLyurq60a9eu2PlCCCGKVt5vlvJt2rQJHx8fNm7cSK1atRg5ciQ1atTg888/R6fT8fHHH/Pjjz/SqFEjm8UwYMAANmzYwIwZM/jyyy9Rq9UoisL06dMBeO6554pdVq47QgjxYKx53bFrhamsTRVCQkIs5e528+ZNdDqd5WleYGAgGo2myLImk4mEhAQaNmz4gJ9ECCGEI4qNjaVv377UqlULgIcffpiNGzcCeS0PpkyZwtGjR1m0aBGdO3e2SQydO3emT58+bNmyheeee45HHnmEEydOcPToUSIiIujevbtNtiuEEMI6in+dUk7CwsJISkoiKiqqwPT8pgrFZdADCAgIICAggGPHjmE2mwvMy08l26ZNGwCcnZ1p1aoV586dK/SW6dSpU+Tk5FjKCiGEqDzuTBoUEhJCYmIiGRl5Y6Go1Wq6du3K5cuXbRrDf//7XyZOnEhqaiqLFy/m1q1bTJw4kc8//1wydwkhhIOze4VpwIABAMyYMcNS6SlpUwWAfv36kZCQwLJlyyzTsrKy+Prrr3F1daV///4FtqXX65k9e7ZlmsFgYObMmQAMHjzYOh9KCCGEQwgICCjwQC5/aImLFy9apjk7O5OSkmLTODQaDePGjWPHjh2cPn2an3/+mXHjxhWbiEgIIYTjsGuTPChdU4X8is6dqc1Hjx7Ntm3b+OSTTzhy5Aj16tVj+/btXL9+nffff7/Ak8WBAweyZs0aFi1axMWLF2nevDm//fYb58+f55VXXqFx48bl9rmFEELYXrdu3Vi6dClr1qxhwIABNGvWDFdXV5YvX067du3IyMhgx44dliZ7QgghxN1USnFp8P7UpEkTOnToUGjwv0OHDnH06FHGjx9fZCY9lUrFuHHjShSEwWDg22+/Zd26dSQmJhIQEEC/fv0YPXp0gadv+RWaCxcuFFj+1q1bTJ8+nd27d5OTk0ODBg3429/+xlNPPVVoW1lZWcyePZutW7eSlpZGUFAQQ4cOZejQofdM+CCEEKLiSU1NZfDgwcTFxTFlyhSGDBnCtGnTWLx4MX5+fuh0OrKyspgwYQKvv/66vcMVQgjhgEpUYXqgFatUZUo5XlkYjUaWLVvGqlWriI2Nxd/fn4EDB/Lqq6+i0WjsHV6VkpiYSJ8+fZgwYQIjRowoNH/9+vUsWrSI6OhovL296d27NxMnTsTDw6P8g60CkpKSmD17Nnv37iU5ORkfHx86derE3//+d+rVq1egrByb8pWamspXX33Fnj17uHnzJnXr1uWZZ55h5MiRhcapqwjHJisrixUrVvDYY4/RpEkT9Ho906ZNY/PmzWi1Wvr168ekSZOKHYOvIqpK156S/pasXr2a//u//ytyHa1atWLVqlUFpu3Zs4e5c+dy8eJFXF1dCQ8P56233rJk373TiRMnmDlzJmfPnkWlUtGxY0f+8Y9/FPotcwRffvklc+fOLXJenz59mDFjhuXfpfl+V8b9VZKWR0uWLOGRRx4Bqu45Zs37K1vtk8uXLzN9+nROnDiBXq+ndevWTJo0iebNm5foM963wrRu3boSragozzzzzAMvW1l88MEHrFy5krCwMNq2bcvx48c5duwYERERzJo1y97hVRm3b99m5MiRnDx5ksmTJxf6Qn/zzTdMnz6dxo0b89hjj3Hx4kX27t1LmzZtWLJkifQzsLKkpCQGDx7MjRs36NKlC40bNyYqKoo9e/bg4+PDypUrLVkw5diUr6ysLAYPHszVq1cJDw+nfv36HD9+nD/++IPw8HDmzp1rSVIgx8ZxVZVrT2l+Sz7++GOWLl3K6NGjLWMz5qtdu3aBfsw//fQTb731FvXq1ePJJ5/kxo0bbNu2jbp167JmzRq8vb0tZQ8fPswrr7yCj48PTz31FJmZmfz000+4u7uzZs0a6tatWy77oqTGjh3L/v37efXVVwvNe+ihh+jVqxdQuu93Zd1fd/Z5v1NycjLff/89NWrUYMOGDfj7+wNV8xyz5v2VrfbJlStXeP755zGbzfTt2xeVSsXGjRsxGAwsW7aMli1b3v+DKsJmjh07poSGhioTJkxQzGazoiiKYjablX/+859KaGiosmvXLjtHWDXExsYqzzzzjBIaGqqEhoYq3333XaH5zZo1U5577jlFr9dbpn/55ZdKaGiosnTp0nKOuPJ7//33ldDQUGXhwoUFpq9fv14JDQ1VxowZoyiKHBt7+OKLL5TQ0FBl8eLFBaZPmjRJCQ0NVXbv3q0oSsU+Nrm5uUp0dLSSlZVl71Bsoipde0r6W6IoivLCCy8oHTp0uO86s7KylPbt2ys9e/ZUMjMzLdNXr16thIaGKv/+978t00wmkxIREaG0a9dOuXHjhmX6gQMHlMaNGysTJkwoy8ezifDwcGXAgAH3LFOa73dl319FGTt2rNK4cWNl3759BaZXtXPMmvdXttwnI0eOVJo1a6acO3fOMu3ChQtKq1atlIEDB5bos0qnHRtavnw5AOPHj7c8kVWpVEyaNAmVSsXq1avtGV6VsGjRIvr27cv58+fp2LFjkWVWrVqF0WhkzJgxBZqqjB07Fk9PTzlONrBjxw6qV6/Oyy+/XGB6//79CQoKYt++fZjNZjk2dhAXF0edOnUYNmxYgel9+vQB8ppAgON/b3bt2sXkyZM5f/68ZZqiKHzxxRd07NiRXr160aFDB9544w1SU1PtGKn1VaVrT0l/SyAvM2JoaOh917l582bS09MZMWIEnp6elumDBg2ifv36rF27FpPJBMDBgweJiopi0KBB1K5d21K2U6dOdOnShR07djjU+ZWVlUVcXNx9m5qV5vtdmfdXUTZu3MiuXbsYPHgwXbp0KTCvKp1j1r6/stU+iY6OZv/+/fTs2ZOmTZtayoaGhtKvXz/OnDlToi5EUmGyoaNHj1KtWrVCX55atWoREhLCkSNH7BRZ1bFkyRICAwNZtmxZgRTzd8o/DncnNnFxcaF169acP3+ezMxMm8daVZhMJsaMGcP48eOLTLSi1WoxGAwYjUY5NnbwxRdfsGfPnkL9ea5evQqAn58f4Njfmw8++IBx48axfv16rl27Zpk+Y8YM5s2bR25uLp07d6ZTp05s376dF198Eb1eb5dYbaGqXHtK81uSkJBAWlpaifqk5O+f/H4pd+rQoQNpaWlcunTpvmUfeeQRTCYTx44dK9XnsqX8Bwj32w+l+X5X5v11N51Ox4wZM/Dy8mLSpEkF5lW1c8za91e22if3Kwt/jd16L1JhshG9Xk9CQoJlzI+7BQYGkpGRYfOxP6q6KVOmsH79etq2bVtsmZiYGPz8/IrsfBgYGAhQaGBl8eCcnJx4+eWXGT58eKF5V65c4erVqwQFBaHVauXY2JmiKCQnJ7N8+XJmz55tyWAKjvu92bVrF6tWraJp06bMnz/fMjRFYmIiCxcuRKVS8dFHH7FgwQLmz5/P7NmzuXz5MkuWLCn3WG2hKl17SvNbkp9d12Aw8Prrr9OpUyfatGnD3/72N06dOlVg2evXrwMU2XE8v19E/rl9r7L534Po6OgH/ITWl78fUlJSGDlyJO3bt6d9+/ZMnDjR8lAESvf9rsz7624rVqwgPj6eUaNGUa1atQLzqto5Zu37K1vtE2vtP6kw2UhaWhoAXl5eRc7Pny5Px23r0UcfxcnJ6Z5l0tLS7nucsrKyrB6bKMhsNvPRRx9hNpsZMmQIIMfG3mbOnEnnzp2ZOnUqXl5eLFiwAB8fH8Bxj82PP/6Ir68vS5YsoUuXLpaO19u2bcNoNBIUFMSgQYMs5Xv27Enbtm3Ztm1bucdqC3LtKfq3JP9m9ocffkCn0zFw4EC6dOnCwYMHGTZsGL/99ptl+dTUVLRaLa6uroXWnd9UKP/czt/fd3ZGv7usI+3r/P2wcOFCPD09GTx4MC1btuTnn39myJAhlqZJpfl+V+b9dSeTycSSJUvw8PAo1GQZqt45Zu37K1vtk3uVLc3vYeXJoepgjEYjQLFZovKn63S6cotJFM1oNMpxsjNFUfjggw84ePAgLVq0sPRHkGNjX/Xq1WP06NFER0ezc+dOhg8fzvz582nevLnDHptTp07RvXv3Am3gAQ4cOIBKpaJHjx6FlmnVqhU//vhjeYVoU1X92lPcb4nZbCYwMJA33njD8pYU8prijBgxgsmTJ7Nz505cXFxKdW4bDIYC04sq60jNPZ2cnAgMDGTatGkFmiht3LiRf/zjH7z33nusW7euVPugMu+vO+3atYv4+HhGjhxZ5M23nGOFOcJ5ZK39JxUmG8mvIecfqLvlHxw3N7dyi0kUzdXVVY6THRmNRt5//33Wrl1LvXr1+N///mf5EZNjY1/PPvus5e+7d+/mtdde45133mHTpk0Oe2zS09OpVatWgWlms9nSnr1Tp/ckhVoAACAASURBVE6FlnF2di72s1Q0Vfnac6/fkrFjxzJ27NhCy3To0IG+ffuyfv16Dh8+zKOPPlqqc/te+9sR9/W//vWvIqf369ePVatWceTIEa5evVrqfVBZ99ed1q9fD2B5a3k3OccKc4TzyFr7T5rk2YinpydqtbrYJin5r/+Ke1Upyo+3t3exr2PlONlWTk4Or7/+OmvXriUkJIQlS5YUuNmVY+M4wsPD6dSpE5cuXSImJsZhj42Xl1ehjFGnTp0iKysLZ2dn2rdvX2iZ6OjoQv0RKqqqeu2532/JvTRr1gyA2NhYIO93R6fTFfnUOX+/5u+//DcNRX0X7i7r6O7cD6X5fleF/aXT6Thw4AChoaE0aNCg1MtX1XPMEc6je5Utze+hVJhsRKvVEhAQYPly3C02Npbq1avj6+tbzpGJu4WEhJCcnExubm6heXFxcajVaoKDg+0QWeWWnp7Oyy+/zN69e2nWrBkrVqwgICCgQBk5NuXLaDRy4MAB9u/fX+T8/OOTmprqsMfm4Ycf5sCBA5ZU0pA3GCLkvV26+0liUlIS+/bt4+GHHy7XOG2lKl57SvJbcvbs2WKzA+Y388nv75Y/0G1R+zB/Wv369Utd1t6MRiOnTp3i5MmTRc7P/y67uLiU6vtdWffXnQ4fPkx2djYRERHFlpFzrDBHOI/y/yzr/pMKkw2FhYWRlJRUKFNUYmIi0dHRtGrVyk6RiTuFhYVhNps5evRogek6nY4//viDRo0aFeoPIcpGp9MxZswYTp48SYcOHVi6dCk1atQoVE6OTfkbO3Ysb7/9tmW8izudP38elUpF3bp1HfbYDBkyhNjYWCZNmsSRI0dYvnw5K1euRKVSFcqmlpKSwhtvvEFubm6BPgcVXVW69pT0t2TcuHG89NJLRWYHzG+u2aJFCyBv/wFF3vweOnQILy8vGjZseN+yhw8fRq1W07Jlywf8dNZlNpsZNmwYo0ePLvT9VhSFEydO4OzsTNOmTUv1/a6s++tO+ZXM/PiLIudYYY5wHt2vLEDr1q3v+1mkwmRDAwYMAPLG/sh/2qkoCtOnTwfgueees1ts4i9PP/00Tk5OzJkzp8Cr4K+//pqsrCw5TjYwffp0Tpw4QZs2bZg3b16xN9ZybMqXs7MzTzzxBCkpKSxYsKDAvBUrVnDmzBm6d++On5+fwx6bnj17Mnz4cLZt28ZLL73Exx9/jMFgYOjQoXTr1s1SbuzYsYSHh3Ps2DEiIiJ4/PHH7RKvLVSla09Jf0t69eqF2WxmxowZKIpimb5161b27NlD+/btLeNWPf7443h4eDB//nxLhi3Iy8AYHR3N4MGDLeM+dejQgYCAAFauXFngCfbBgwfZv38/TzzxBNWrV7fFRy81rVZLeHg46enpfPvttwXmLVy4kIsXL/L000/j7e1dqu93Zd1fdzp37hwAzZs3L7aMnGOFOcJ5VK9ePdq2bcvPP//M6dOnLWUvXrzIxo0badGixT2Paz6VcudRFVb35ptvsmXLFlq2bMkjjzzCiRMnOHr0KBEREcycOdMyCruwvbVr1zJ58mQmT57MiBEjCsz7/PPPmTdvHg0bNiQ8PJzLly+zZ88e2rZty+LFi4vN3CJKLykpifDwcAwGA88++yx16tQpstyrr76Ki4uLHJtylpiYyJAhQ0hISKBr166EhoYSGRnJwYMHqVu3LitWrLD0DXHkY3P48GF2796N0WikS5culvGY8j355JNkZWUxfPhwxo4de9/0uBVNVbj2lOa3RKfT8fzzz3PlyhVatWpFWFgYUVFR7NmzBz8/P77//vsC47R8//33fPjhh9SpU4fevXuTmJjI1q1bCQoKYuXKlQWaNO7Zs4fXX38dLy8v+vbtS3Z2Nps2bcLT05NVq1YVOf6LvcTGxvL888+TlJRE586dadKkCWfOnOHw4cM0atSIZcuWWfrzleb7XVn3V76+ffsSExNTbHNGgIyMjCp7jlnr/spW++TMmTO88MILqFQq+vbti5OTExs3bsRoNLJ06dISvaGTCpONGQwGvv32W9atW0diYqJl4MfRo0fLjV45u9cXWlEUVqxYwYoVK4iJicHf358nnniC8ePHO2xnyopqx44djBs37r7ljhw5gre3txwbO0hKSmLWrFns3r2b1NRUatasyRNPPMFrr71WIDlCRT42WVlZlbo5Z1W49pT2tyQjI4M5c+bwyy+/kJSUhK+vL927d2fixInUrFmz0HJbtmxh/vz5XL58GR8fH7p27cqbb75ZZNkDBw4wZ84czp07h7u7O+3atWPSpEmWvhaOJDExkZkzZ/Lrr7+SlpZGzZo1iYiIsNx85ivt97uy7i+Arl27ArBv3757lquq55g1769stU/Onj3L9OnTOX78OBqNhocffpg33nijxP1XpcIkhBBCCCGEEMWQPkxCCCGEEEIIUQypMAkhhBBCCCFEMaTCJIQQQgghhBDFkAqTEEIIIYQQQhRDKkxCCCGEEEIIUQypMAkhhBBCCCFEMaTCJIQQQgghhBDFkAqTEEIIIYQQQhRDKkxCCCGEEEIIUQypMAkhhBBCCCFEMaTCJIQQQgghhBDFkAqTEEIIIYQQQhRDKkxCCCGEEEIIUQypMAkhhBBCCCFEMaTCJIQQQgghhBDFkAqTEEIIIYQQQhRDKkxCCCGEEEIIUQypMAkhhBBCCCFEMZztHYAQQghRHq5cuUJkZCTp6ekMHz6c+Ph4fHx88PDwsHdoQgghHJhKURTF3kEIIYQQtnL58mXee+89Tp8+DYBKpeLcuXPMmTOHRYsWMXXqVPr06WPnKIUQQjgqaZInhBCi0rp+/TrDhw/n3LlzPP3003Ts2JH854R169bFbDbz9ttvc/ToUTtHKoQQwlFJhUkIIUSlNXPmTHJzc1m5ciWfffYZYWFhlnkDBgxg1apVuLq68u2339oxSiGEEI5MKkxCCCEqrQMHDtC7d2+aN29e5PxGjRrRq1cvzp07V86RCSGEqCikwiSEEKLSysrKonr16vcs4+3tTWZmZjlFJIQQoqKRCpMQQohKq169ehw7dqzY+YqicPjwYerVq1eOUQkhhKhIpMIkhJVFRkYyZ84cq6wrNjaWIUOGWGVdd7JmjEI4sn79+nHy5EmmT5+O2WwuME+v1zNt2jQiIyMlS56o0OS6I4RtSVpxIRxYbGwskyZNYtWqVfYORYgKyWAwMGrUKA4dOoSPjw9arZZbt27Rrl07Ll26RFpaGq1atWLp0qVotVp7hyuE3cl1R4jCZOBaIcooKiqKyZMn4+zsjNlsZsiQIezdu5cZM2awevVqli9fjo+PDxqNxvIUe+/eveTm5hITE8Po0aMZOHAghw8fZs6cOSiKwu3bt/niiy/QaDT33Pa0adNo0qQJzzzzDElJSYwZM4bVq1fzwQcfkJCQwM2bN+nRowdvvvkm7777LmlpaaSlpfG3v/2NLVu2MGPGDJYtW8b27dvJycmhWrVqzJkzh59++qnIGE+ePMmnn36K2WymVq1afP7551y7do2PP/4YAF9fXz799FO8vLxsvt+FKAmNRsOCBQtYtGgRP/74I9HR0QAcOXKEgIAAhg8fzquvviqVJVGhyHVHrjuifEmTPCHK6MCBA7Rs2ZLvvvuOCRMmkJWVBUBKSgrz58/n+++/Z+HCheTk5FiWycrK4ptvvmHu3LmWdMaXLl3is88+Y+nSpTz55JNs27btvtsePHgw69atA2DDhg0MHDiQGzdu0Lp1axYsWMCPP/7IDz/8YCnfsWNHfvjhB7y9vQEwm82kpaWxaNEiVq9ejclksgzuWVSMH3zwAZ9++imrV6+mW7duXLlyhffff59//etfLF26lMcee4z58+dbYa8KYT3Ozs6MGjWKbdu2cfz4cfbu3cvRo0fZtWsXEyZMwMXFxd4hClEqct2R644oX/KGSYgyGjRoEPPmzWPUqFF4eXnRpUsXAGJiYmjYsCFubm4AtGnTxrJMkyZNAKhTpw56vR6AWrVq8cknn+Du7k5iYiJt27a977YbNWqEyWQiLi6OLVu2sGjRItRqNadPn+b333/H09PTsn6A+vXrF1herVaj0WiYNGkS7u7uJCQkYDQai43x1q1bNGzYEMi7aAJcuXKFKVOmAHnNn0JCQkqx94QoX+7u7ri7u9s7DCHKRK47ct0R5UsqTEKU0c6dOwkLC2P8+PH89NNPTJ8+nVatWhEUFMTVq1fJzc1Fq9Vy6tQpGjRoAIBKpSq0nvfff59ffvkFT09P3nnnHUravXDQoEF89tlnNGrUCG9vb5YsWYKXlxdTp07l2rVrrFq1yrKuu7d7/vx5duzYwerVq8nJyWHgwIHFlgWoWbMm0dHRhISE8O2331K/fn3q16/Pf/7zHwICAjh27BhJSUml2n9C2NL48eNLVE6lUjF79mwbRyOEdch1R647onxJhUmIMmrRogXvvPMOc+fOxWw28+KLL3Lq1CmqV6/O6NGjGTZsGL6+vuh0OpydnS1P0u7Wr18/hg8fjpubG35+fty8ebNE2+/VqxeffPIJc+fOBaBTp0689dZb/PHHH2i1WoKDg4tdV3BwMG5ubjz//PMA+Pv733O7U6ZM4b333kOtVuPv78+IESOoU6cO77zzDkajEZVKxSeffFKiuIUoDzt27LjnfJVKhaur6337bQjhSOS6I9cdUb5smiUvJiaGoKAgq67TaDSybNkyVq1aRWxsLP7+/gwcOJBXX321RBe8YcOGFTsmx4cffsjQoUOtGq+ouoxGI/PmzeO1115DURSGDx/Om2++Sfv27e0dmhBVRlxcXJHTc3NzuXbtGgsWLCA3N5fFixfj6elZztEJYV1y3RHCNmz6hunJJ5+kTZs29O/fn969e+Pj41PmdU6dOpWVK1cSFhZGjx49OH78OLNmzeLChQvMmjXrvstfuHCB+vXr89RTTxWa16JFizLHJ0Q+Z2dncnJyeOaZZ9BoNLRs2ZJ27do90LrmzJnDoUOHCk3/9NNPZcBNIe4hMDCw2HkNGzakS5cu9O3bly+++IJ//etf5RiZENYn1x0hbMOmb5gmT57ML7/8QlZWFhqNhu7du9O/f3+6dev2QM0fjh8/ztChQ4mIiGDmzJmoVCoUReHdd99l/fr1fP3114SHhxe7fGxsLD179mTEiBFMnjy5LB9NCCFEJfGf//yHTZs2sW/fPnuHIoQQwgHZNK34tGnTOHDgADNmzKBr167s3r2bCRMm0LVrV6ZMmcKJEydKtb7ly5cDeZ148zsGqlQqJk2ahEqlYvXq1fdc/sKFCwA0btz4AT6NEEKIyig1NdWSllkIIYS4m82TPmi1Wnr37k3v3r1JT09ny5YtbN26ldWrV/PDDz9Qr149+vXrR//+/e/7ivfo0aNUq1aN0NDQAtNr1apFSEgIR44cuefyZa0w5ebmcubMGfz9/XFycnqgdQghRFVjMplISkqiRYsWuLq6luu2i6sImc1mcnJy2L17Nz/99BMPP/xwucZVUnLdEUKI0rP2dadcs+T5+PgwdOhQBg0axI4dO/jss8+IiYlhzpw5fPXVV3Ts2JHx48cTFhZWaFm9Xk9CQgKtWrUqct2BgYFERUWRkpJC9erViyxz4cIFVCoVx44d4//+7/+IiorC29ubiIgIJk6ceN9Ros+cOcPw4cNL/8GFEEKwfPnyB+5P8aDatWtXZKriO6nVaiZMmFBOEZWOXHeEEOLBWeu6U24VJrPZzG+//cbmzZvZuXMn2dnZODs78+STT9K7d28iIyNZs2YNL774IlOnTmXQoEEFlk9LSwMotlKTPz0zM/OeFSZFUZg1axYRERG0a9eOI0eOsGTJEn7//Xe+//77e2ZJ8vf3B/J2fu3atUu9D4QQoipKSEhg+PDhlt/Q8lRcdjCVSoVGo6FBgwY8++yzlgEzHY1cd4QQovSsfd2xeYXp6NGjbN68mZ9//pnU1FQURaF169b079+fp556Cm9vbwB69+7NsGHD6Nu3L7Nnzy5UYcofQ0Cr1Ra5nfzpOp2uyPlmsxlvb2+aNm3KN998Q61atSzTP/zwQ1auXMns2bPvmQwivzlE7dq1qVu3bin2gu0pinLfp6hCCGFP9mhStnTp0nLfpjU58nVHlJ7eYEKrkaaVQpQXa113bFph6tGjBzdu3EBRFAICAhgzZgwDBgwgJCSkyPK1a9emXr16xMfHF5qX3/7QYDAUuaxerwfAzc2tyPlqtZpVq1YVOf2dd95h48aNbN68uUJlz7uZms0P2y9w6vItktJyqFPDg/bNavFs+EP4ernYOzwhhBBC/CkqPp2YhExaNvKjmnf59uUTQpSNTStMaWlpDBgwgAEDBvDII4+UaJmRI0cW2ezA09MTtVpdbAfezMxMoPgme/fi4eFBSEgIkZGR6HQ6XFwcv7Kx4/A15q49jd5gwttDS4NAH+KTsli/9wrbDkYz8bk2PNq6+PFHhBCiMpo2bdoDLadSqXj33XetHI0Qf4m9mXf/kpKRKxUmISoYm1aYDhw4YHkzZDKZCrwWi4uLK3JAwb59+xa5Lq1WS0BAALGxsUXOj42NpXr16vj6+hY5PyMjg8uXL1OtWjXq169faH5ubi5qtRpn53LNg/FAthyIYu6aU3i5axg3qCXd29ZDrVZhMJr4+fdrLNlyjv8uPUpC8m0G9wy9/wqFEKKSWLx48QMtJxUmIYQQxbFp7cDV1ZWDBw/y73//m4EDB/Lyyy8Def1tevfuTXBwMNOmTaNFixYlWl9YWBgbNmwgKiqqQKUnMTGR6Ojoew5ae/bsWUaMGEF4eDhff/11gXk3b94kNjaWpk2bOnza1qORicxdcwpfTxc+HtuZ4DrelnkaZyee7tqAhxv6MXXB7yzZEombizNPd21gx4iFEKL8LFmyxN4hCCGEqGRsWmE6evQoo0ePRqPRFOhbpNfr6devH9u2bWPYsGEsW7aMli1b3nd9AwYMYMOGDcyYMYMvv/wStVqNoihMnz4dgOeee67YZcPCwvD39+fXX3/lyJEjlsxJer2ejz76CIPB4PCpW2+l5TB9xXE0zmo+HN2xQGXpTsF1vPl4bBf+Oec3vl1/mprV3enQTLIrCSEqvw4dOtg7BCGEEJWM2pYr/+qrr/Dw8GDDhg0MGTLEMt3FxYWPP/6YtWvX4uLiwqxZs0q0vs6dO9OnTx9+/vlnnnvuOT7//HNeeOEF1q9fT0REBN27d7eUnT17NrNnz7b8W6vV8tFHH6FSqRg5ciRvv/02H3/8MQMGDGD79u089dRTDBw40Gqf3doURWH26j/IzNYzqn8LGtYtuulhvjp+HvxrVEc0TmpmrDjOzdTscopUCCEcj06nIzExkRs3bhAfH098fDxxcXFcu3aNkydPlvg6JMSDkkS2QlRcNn3DFBkZSd++fQkKCipyflBQEH369GHTpk0lXud///tfGjVqxLp161i8eDEBAQFMnDiR0aNHF0irPWfOHIACgxGGh4ezfPly/ve//7Fnzx50Oh3169fn/fffZ9iwYQ6dlvv3Mzc4fv4mrUP96d0ppETLNKrry6vPPMyc1Sf5fNkxpo3ripPacT+jEEJYW05ODu+++y47d+7EZDLds+zEiRPLKSohhBAViU0rTCaTqdhxkfKpVCoURSnxOjUaDePGjWPcuHH3LHfhwoUip7du3Zpvv/22xNtzBLl6I/M2nMHZScXYgS1LVbF78pFg/riYxL6T8Wz67QoDujWyYaRCCOFY5syZw88//4yfnx/NmjXj8OHDBAYGEhAQwNWrV4mLi8PPz4+pU6faO1QhhBAOyqZN8po0acLu3btJSUkpcn5aWhq7d++mcePGtgyjwtuyP5qk1Bz6P9aQQH/PUi2rUuVVsnw8tSzdEkl8UtFp2YUQojLasWMHtWvXZvv27Xz77bd07NiRBg0aMG/ePHbu3Mn48eNJTk6+78M9IcqqFM+GhRAOxqYVppdffplbt27x0ksvsWXLFuLi4khPTyc+Pp5t27YxYsQIbt68yYgRI2wZRoWWnWvgx12X8HB1ZlCPhx5oHT6eLowZ0BK90cy8DWesHKEQQjiuGzdu0KNHD9zd3QFo3rw5J06csMwfP348TZs25fvvv3/gbSQmJhIWFsaiRYuKnL9+/XoGDBhA69ateeyxx5g2bRq3b99+4O0JIYQoXzZtkvf444/z5ptvMnv2bN56661C81UqFRMmTKBXr162DKNC2/jbVTKz9bzQuwme7toHXk/X1gFs+92Po5GJHDmXQHvJmieEqAKcnZ3x8PCw/DsoKIjk5GSSk5OpUaMGAI888gibN29+oPXfvn2bCRMmFDuo+jfffMP06dNp3LgxL7zwAhcvXmTRokWcPHmSJUuWoNU++O+6qFgcuJu0w0lIvk01b1dcNI491IuoOmw+SuuYMWOIiIhg69atXLhwgYyMDNzd3QkNDeXpp5+mQQMZI6g4uTojG3+9gpe7hr5lHEtJpVLx6oCHmTh9D/M3nKF1aE00zjZ9wSiEEHYXFBRUoE9r/fr1URSF8+fP06VLFwAMBgOZmZmlXndcXBwTJkzg7Nmzxc6fNWsWbdq0YenSpWg0GgBmzpzJ//73P1atWsULL7zwAJ9KiMorJSOXC9dScdU68UiLOvYORwjAxk3y8oWEhPDaa6/x5ZdfsnDhQubMmcPEiROlsnQf2w9fIzPbwNNdG+Duqinz+oLreNOnUwjxt26z6bcrVohQCCEc2xNPPMG+ffuYNWsWaWlpNGnSBB8fH+bNm0d2djbXr19n27Zt1K1bt1TrXbRoEX379uX8+fN07NixyDKrVq3CaDQyZswYS2UJYOzYsXh6erJ69eoyfTYhKiOdPi+bZa7+3lkthShPNn/DBHlpXRMSEtDr9cVmxGvSpEl5hFJhGE1m1u+9glbjxFNd6lttvcN6NWHviTh++OUC3cPqUd3b1WrrFkIIRzNy5Ej27t3L3LlzCQwM5Nlnn2XEiBHMnDmTDh06YDKZUBSF1157rVTrXbJkCYGBgUyZMoXo6Gh+//33QmWOHDkCFB5M18XFhdatW7Nv3z4yMzPx8vJ68A8ohBDC5mxaYcrNzeX9999n69at9x3/IjIy0pahVDj7/ogjKTWHp7vUx8fTxWrr9XLX8kLvJsxdc4plWyOZ+Fwbq61bCCEcjbu7O99//z0///wzzZo1A/Le8Gg0GjZv3oyLiwt9+/Zl+PDhpVrvlClT6Ny5M05OTkRHRxdZJiYmBj8/vwJ9qPIFBgYCEBUVRcuWLUv3oYQQQpQrm1aYZs6cyaZNm6hevTpt2rTBy8vLoQeHdRSKorBm92XUahX9uzW0+vojHgnmp31X2Xkkhv7dGhJc29vq2xBCCEdgMBjQaDT06dPHMk2lUjFq1ChGjRr1wOt99NFH71smLS2t2KZ++W+ViksWIURVJbeJwhHZtMK0ZcsWgoODWbNmDZ6epRs/qCo7fuEm0TcyeKxNILVrFH4yWVZOTmpGPNWcjxYeYvHmc3zwt6Lb3wshREXXtWtXevXqRd++fWnXrl25bttoNBabBS9/uoz/VLlk5xpQq1W4asulx4MQopzYNOlDamoqTzzxhFSWSmnNrssADOzeyGbbaN+sFs0b1ODIuUROX7lls+0IIYQ9Va9enZUrV/Liiy/So0cPZsyYwaVLl8pl266urhgMhiLn6fV6ANzc3MolFlE+jpxL5NCZBFIzcu0diqhgbqXlEHuz9Nk6RfmwaYUpODiYGzdu2HITlc75aymcvnKLNqH+NKzra7PtqFQqXunbHIDvNp0tNhmHEEJUZFu3bmX9+vX87W9/Q61W880339CvXz/69+/PggULSExMtNm2vb29i01Xnj9dEj5UTmeuJNs7BFHBnL2azJXYdHuHIYph0wrTyy+/zPbt2zl16pQtN1Op/Lgz78nn4J6hNt9WaFA1urQK4NL1NPadjLf59oQQwh6aNGnC22+/zY4dO1i1ahUvvvgiaWlpfPbZZ4SHh/PSSy/x448/Wn27ISEhJCcnk5tb+G1DXFwcarWa4OBgq29XCCGEddm0ka2zszOhoaEMGzaM9u3bExISUmR7bpVKxbvvvmvLUCqEazcyOHQ2gcbB1WjRsEa5bPOlPk35/fQNlmw5R8cWdWQwWyFEpdayZUtatmzJe++9x8GDB/nPf/7D4cOHOXLkCIMGDbLqtsLCwjh06BBHjx6la9euluk6nY4//viDRo0aSZN1IYRDyNUbiU+6TXBtL5yc5F7wbjatMN1ZCTp48CAHDx4sspxUmPL8uPvPt0s9Hiq3bIIBfp707hzCT/ui2HYwmr6PymDCQojKKycnh927d7N161b2799PdnY23t7e9OrVy+rbevrpp/nmm2+YM2cOHTp0sDww/Prrr8nKyuK5556z+jaF45MG8MIRnbuaQma2HrVaRUgdyZ58N5tWmJYsWWLL1VcqCcm3+fVEHMG1vWjfrHa5bvv5Jxqz88h1fvjlAj3a1cPDTXP/hYQQooLQ6/Xs2bOHLVu2sHfvXnJzc9FoNHTr1o1+/frRrVu3YrPZlUXDhg155ZVXmDdvHgMGDCA8PJzLly+zZ88e2rZty5AhQ6y+TeG4VKioStWlzGw9LhontBone4diF7fScjArCjWrudtsGzdTsjErilUyKufqjQAYjPceN7WqsmmF6e7RzUXx1u65jNmsMKjHQ6jV5TsIgY+nC4N6PMTSrZGs2X2Jl/o0K9ftCyGErbz11lvs2bOH7OxsIK+ZXL9+/ejVqxfe3rZ/ivrWW29Rp04dVqxYwZIlS/D392fEiBGMHz/eJpU0IRyByWTm+PmbAHRrW/RYZGVhNivoDCbcXBw3ffvZq3mJP2xZYYqMTgGwyRA0oqByOdOMRiP79+/n/PnzpKen889//pMLFy7g4eFR7KB+VUn8rSx+OXSN2jXcebR1oF1i6PdYAzbvj2LDr1d5qkt9qsnVbgAAIABJREFUavhIqlshRMW3efNmGjZsSL9+/ejbty8BAQFW38bAgQMZOHBgkfNUKhXDhw9n+PDhVt/ug8rVGXHROpWp6XeOzsjFmFQequeLu6u0ShAFmcy2fZN29moyKRm5tGtaS1rFiHJh815dhw4d4vHHH2fs2LHMmDGD7777DshL9RoREcGCBQtsHYLDW7z5HEaTwkt9mtmto52r1pnhvZqgN5hYvu28XWIQQghrW7t2LZs3b2bMmDE2qSxVNCkZuRw6m8CVuNKlL46KT2f/qXjMf94IX41LJy1Tx/noVFuEWSkYjGbSMv8amFh5wOZ4OoOJ2JuZFWr4D1tHmvLnOFe3c4se50wIa7Pp3XlkZCSvvvoqOTk5jBkzhieffNIyr3Xr1vj5+fH555+za9cuW4bh0E5fvsWBUzdoHFyNrq3sezHv2a4eQbW92Hkkhms3MuwaixBCWEOzZtLE+E75A6omJN8u1XIxCZkYjWZLP4f8m/cHrQRUBScvJXHyUhKZ2foyref05VtciU0nMSXbSpGJykpRlAeuWMs3+d5sWmGaNWsWLi4urF27ljfeeIPQ0L/GFurevTurV6/Gx8fH8tapqsnONfDlyhOoVfDqgIfLLTNecZyc1Ix4qhlmBRZtPmfXWIQQQlRdiqJYKmcV1e2cvLcfObq8z5GX9OHB16MzPFhn/LRMHdcSKulDULnLL+DA6Rv8fibB3mFUSjatMB07doxevXoRGFh0v5yaNWvSu3dvLl26ZMswHJKiKHy99hQ3U7IZ1DOU0KBq9g4JgHZNa/FwQz+ORiZy+vIte4cjhBCiCrp0PY1DZxJIz9Ldv7C4p5OXkoiOz6iQFdBsaXJXKkajGf0DVqzFvdm0wqTT6XB3v3d2ECcnJ3S6qvWDqCgK8zecYfexWBrV8+X5JxrbOyQLlUrFiKfzmrAs/Omspb26EEKIiq+i/KLfuJXXZDDjdtmas4m/lLSlltn84M26rO3IuUSS03PsHYZDulrKfogl9aBvQq0pLimLK7Fp9g6jAJtmyWvYsCH79+/HbDajVheumxkMBvbt20f9+vVtGYZD0BlMHI1MJCfXwPZDMURGpxBU24sPR3VE4+xYIyqHBlXj0daB/PZHHPtPxvNoG/tk7hNCCCHK2+0cA2lZOgL9Pe0dil3sOxmHxllNp4cfvF+1NStcGbf1D5y5V1EUcnTGSpnJ8Xpipr1DsJnL1/MqS57uWny9XHBxgLG8bHqnPnjwYC5dusS7775LamrBTDrJycm8/fbbXLt2rdh0rJXJgVPx/HvxEWau/IPI6BQeaV6bj8d2xsfTxd6hFenF3k1xdlKxeMs5GcRMCFGp5I/JJERRjkYmcvl6GlllTNZQUSkK6A1me4dhFVdi0+/5lio711Ciyl1WjsFuzUMd5W1fSRmMZo6cSyApteRvBq/dyCD+Vlah6eejUzhx4aY1w3tgNn3DNHToUE6cOMHGjRvZtGkTLi55lYMePXqQkJCA2Wzm8ccfd6jxKWylU4s6vDWsLTqDmYaBPjSq52vvkO6pjp8HfTrXZ+NvV9l6IJp+jzW0d0hCCPFAFEXhhx9+YO3atZw/fx6TycS5c+dYtmwZZ8+e5a233sLPz8/eYZYrR2h24+hsOZaQwWjiwKkb1A/wJqi27QdQrqoSUvKadqZl6gq9pUpIvs2Fa6kE1/EmpM69j8GxyETANoPw3ktqZi6nLt2iaUh1alYv+QC4xy/cpHZ1dwLK4S2p2ayQmplLNS9X1GoVSWnZZOcaOReVTLdqdTGbFdTqe//eRP+ZmTnAr3C8Or1jPLS3eVuw//73v8yYMYPOnTvj5uaGk5MTWVlZhIWF8emnnzJnzhy7Z4crD64uznQPq0dEx2CHryzlG/J4KO6uzvzwy8Uq+6RNCFGxGY1GxowZw9SpUzl//jweHh6WJ7axsbGsW7eOYcOGkZKSYudIy5c904Hn6o0V4qm5LUNMy8y7pkbFlyJ7XTnvMkdJuKDTm8r8dqeoXZeakbfOm6mO+8Y5PimvwhdTyuZ3mbf1XLpePn2Arsanc+ZKMtdvFo7x9JVb/PZHXKXoD18unWd69+7NggULOHjwIGfOnOHw4cMsXbq0SjTFq8h8PF0Y0jOUzGw9S7ZE2jscIYQotYULF/Lrr78yYsQIDh8+XKBFw9tvv82ECROIiYnhm2++sWOUVUd2roFDZxI4czXZ3qGI+zhyLrHYeTEJGWUeX6qkElOy+eNiEgZj6ZsJVpY3qY78gCG/MptZRIKWlPS8cd+MporfxNOxsg0Ih9PvsYbUq+XF1oPRnI+uWk9ghRAV3/r162nbti3vvPMObm5uBVo0ODs7M27cODp27MiePXvsF6Qd3HkjmZB8u0B/A1ve3GT9OaZQ/o1UeTKazKVqLXErzcGysznIvX9WjoGo+AyOn79H3xIb3N+bzGb2nYzjzJWqM+SJIzXAMpsVktNzim2q6rhVOuuwaR+mZ555pkTlVCoVa9eutWUo4gFpnNWMG9SKd7/ax1c/nmTGm91wdpJ6thCiYrh+/TqPP/74Pcu0aNGCEydOlFNE9lPcU+oL1/KSMnWrVpfriZlcjUunZSM/qnm7lmd4NvfHxSRu5xho36xWibKm6a2V8Mhad5JlXM/FmFQMRjPtmtYq03pMdnxbYDIpJNuhsi3yUn1fjUunjp9HgbFDK8tbvPuxaYUpMvL+zbgCAgLw9pYOj46seYMaPNEhiF8Ox7Dx1ysMDH/I3iEJIUSJeHt7ExcXd88yMTExeHl5lVNE5ctkVnBSq4iMSuFmavZ9U2XH/tkPISktp9JVmG7/+XZLpzcVWWFKTMnG18sxM9eWVEpGLrdzDGic1ej0JoLvSGaQlpnXdEpRFJv3Ha9MbxtupjhuH6fylD8mWlUdG82mFabz588XOT03N5eYmBjmzp3LqVOnpO14BTDi6eYcOpvAiu0X6NwygNo1POwdkhBC3FenTp3Yvn07kZGRNG3atND8P/74g127dtGrVy87RGdbRpOZ/Sfj8fN1szQvs3Zzu9J2rXDUp9GpGbmcj07BVfvXeC+KAuevpVCnhkeZhgBJSsspVYazsjh9uWBzteAisr8lpZZfPFZlp1pY/iDKomqzS9sqV1dXQkNDmT59Ol5eXnz22Wf2CEOUgreHltH9W6DTm5jx/XGbplsVQghrmThxIlqtlqFDh/Lxxx9z8uRJANatW8fUqVN56aWX0Gq1vPbaa3aO1Pry0/He2RdHZ8ibZjSZiU8qPO5JSTvKWOsNRWpGLpdji8/mdTUu3SrbuZ/8/ZJ7RwrjlPRcEpPzEg6URXn1hSrpQKYPev3O1RnRG0rfTNFaWehOXLz3eDxZ2XquJdw/66DBaCYmIQOjueInIiitI+cSOH+tmP7oclt3T3btjKJSqejSpQu//fabPcMQJdStbV26tAzgXFQK6/Zctnc4QghxX0FBQSxevJh69eqxbNkyfvvtNxRF4b333mPFihXUrFmTefPm0bBh1RhrLr9ZFlCmtMPWytp16vIt4m5mlWsK6/zI85IXpBf7Wcw2zExmixZx1qhcFjfAK8ChswkcPH2j1OuJSShdSuzi3G8w3WPnbxIdn0F6lo6k1BwSi2lKd/l6GlHxGSVPPGLFYxV7M5O9x2PJ1Rmtt9JSyM41kpj8134xmxVSMnJtnvZbbzCRqzdW6OaNNm2SVxLXr19Hr6+a7SErGpVKxeuDWnEuKpnl2yJp27gmDQJ97B2WEELcU/Pmzdm0aRMnT57kzJkzZGZm4u7uTuPGjWnfvj1qtSSyKQ2TuXDH+2sJGaRl6GgV6g/kPcXXOBfer8VVFEpSN7mVloOTWlWob1V2roHk9Fzq1SpdP7T8wUi93LWlWq44d1a87q5sxd7MtEn2weT0HM5dTaFtk5pWWd+ZK6VP917UwKT5YxwB5OTev3Jw6XoqWo0TwVYYxNdsVjgXlfc5ikpSlXN3ZaUc36xcic2r1CZn5N63P2F5uH4zk+j4DAJrFo4lK1tPdq4RZ2c1Wo1TEUvn7euSpJc/dkdGRVcXZ7w9rPOdK0926cOkKArZ2dns2bOHHTt20KlTJ1uGIazI20PLxOfaMGX+73yx4hgz3uhW7BdJCCEcSav/z96dxzVxp38A/0xCIEC4D+UUUBGt4om3tWpblRa0ttp669ZrRV2P7tbabWtrW9ut1XpUW6tW8fqpW+t6a73bYgWPqgiKKIjc4QgQIPf8/qCJRBIgmCEEnvdr92WZmcw8mUzynWe+V9eu6Nq1q6XDaDSm1mJcTc6rV62KoaZf6X9NwCqtVOJxbhnyiyvQ57nWENrV7zajoKQStgK+wSRL685fczcN7uGvt1w7X5CTg61u0Aa1hgVYFnwDN8y3UwvQua2H7u/6JDIyuQol5Qq0MtD3p6xCgYeZJZDUMrmq9kYZAJRGakpYlkV6Tim83Bwgsq85KIWGZfE4rwyt3B105W5KhgQalkWWweaV3HuUW4r07NJaRx6szzWlnaDVHAmTqWokULWQKVQQ2nJf11BYUgk7WxtOJ08GnsydpDcxMFP1Pq89NWy8p6t9jdeXlD95nUbN4kpiDmxq+Q4DgNJco082Mk4/9dGjR9fazpllWdjb22Px4sVchkHMrFfHVhjZPwgn4tLx3cFbmD+uG+cj7hBCSH2cPXu2wa8dNmyYGSOxPtpR5OpSvcZArdYgISlX97e21gaoGk2rtoSpeo1MerZ+DVVDaOdZSssuRVFpVQ3Y08mVVvWalNzC8joHMkpIzoNGw8JBaFOjRqrW+YgMyC+ugJdbzZvPW/cLIJHKkZFbhsE9/FEilePW/SeDOGSLy6FSa1BYUoluoeapUXpW2kQ5SyyFn5dIlzSxdVTbVMiUEBdXIrC1E6f3D/Wt1cstLAfLAj6etV8HVxJzEezrjMBaEru76UUofYZJfVmWbVBNnzk9nSwZVe1j1j0wUNQvIZJWKuEotLGa+0eLJUwCgQAhISGIioqCh4eHwW1I0/V2dGfce1SMX+IzEBrohhH9giwdEiGEICYmxuQCWDvMcn2mwmjpktKK9J4Qy2q5OUpOL4Knq71ec63aPhpjNTQPs0r0mn9fu5uHAG8ngyO93X5QaPLABCVSRZ0Jk7aPh1JlnmZ1hkZee/r9P8ot1aud0d78l1dLWLXLGjqSW4VMCRu+8SZX9ZUtLke2uNxoggpU9WN5nFeGwNZOuH4vH2o1CwehwGDyaG4sy9Y6nLp2LrK6EiYAyC2sgIvIDiJ7AUorFHBz0m8i+nTfKVOHcW9IrVKFTGnSZ3j/cTHkCrXROa1UZrrOjcktLMe9R8Xw9xYZHMmxKeI0Yfriiy+43D2xIDsBH8um9caiNRfw/c+3EezrjA5t3C0dFiGkhWtIwtSSmTqCW31robTyiyvg7eYAFgCf17DP5XFemV7CJK1QIjm9yGDC9HTzr5v3xQj2dTFbn4mM3FK4m2F+Km0NGFD1pL0+/XwMaUhn/eIymS4x0DZn1NZocen+YwkKJJXIzH/SfPDpGqDaBp14FtnicoiLK9E/3PeZ91UpV+mNnGhvZ4PuHbzxKLfU5H50hhj6+arrU05IyjPanFVSJkdJuVyvuaO2CaQpzDXQizYmAMjMl+pdD4D5pz4wF4sP+kCsVyt3B/xzUi8s/+EyVu5IwJqFg5vdRIeEEOsyf/58S4dgVcw15LMxlXIVrtzJgUKpqbX2oS7xd3INLi8u039C/vS9pqRMjhv38uFooE9QQ5RIzT9IVfVmjFrSCoXewAnVqVQaZBdI4evZsEEDxMWVQHDN5c86fHptssRSgzV/LFi9JCnxQSHCgur/8LW0XIH84gq91yiN3HArVRpUyJT1GqRAqVLjVmoBgn3rHtiqUq5Cek4JssXlJj9QMCdjtZ8371d9rob635lCWxv1rO+xrtHcf7+Z/Uz75wqnCdOUKVMa9DqGYbBjxw4zR0O40L2DNyaN7IjY48n4eOsf+PzvA4x2/CSEEEu6ceMG7t69i7KyMri5uaFr164IDQ21dFgWJS42/EQ/p6AcHi5ClJYrnuk3Xa5Q1zkcdHUpGcUIbF3zKb2xjvnV+/hoB4UwpK6bPK4715uqrkEc7mdI0Nr92SaQ56o2B6h5PlMfSwzW8mXklunmC2sI7XmqPqdYcpqReYYA3LhXv6Qwp6Ac0golbqcWwKketZPaa7wh81QBDaspNFV9r/GsfG4HENGOYGjI5dtNM1kCOE6YMjMzUVlZieLiqrahQqEQzs7OkEgkuqHEGYapUc1HzSmsyxtD2yO3sAKnrzzCyu0J+HBG31pHOiKEkMYUFxeH5cuX4/HjxwCeNC1hGAadO3fGihUrEBYWZskQmyRzdDyv3p/j+t18uDnb6f421PQmp6C8XjUAQNWkt+aSklFc721TMyVo5+9qtmNbChcDCxSXykxqafIsyVJ19U036mruVVahgJODLaTVEmztSHK10d62Gno4wLK19937MyW/zprL6k02CySVuGfC9coFU/tl1ZcpD1caG6cJ0+7duzFlyhS0adMG7777Lrp1ezKa2r1797Bq1SrcunULW7ZsQVBQEJehEA4xDIO5r4ejRCrHlTu5+Ob/rmPJhJ415mUghJDGdv36dcyePRssyyIqKgrh4eHw9PREWVkZrl+/jqNHj2Lq1KnYu3cvQkJCLB1us1ZWodBLhuJuGZ4EVVpRvyY/t1IL6t6IA1n5UoAFvNzs4SKyq/sFDZBbWHdTSXk9ajPq2+/EWA3HH4k5kCvU6B/uo1tWW6J1K7XgmZpeNpR2tL5ndf1uPjoFexiteTVGO/iJoYTs1z+z4Oct0kuytZ9LaqakRrJU12dfW03q0x7lPjkv5uyDlJZdCg8XYWNOYWVxnFYDfPbZZ+Dz+YiNjUX37t31stEOHTpg48aNaNWqFTZs2AAnJye9/xPrwufz8M6knugY5I5LN7Kw4cCfVfNgEEKIBa1fvx42NjbYs2cP/vOf/2DSpEkYMWIExo4di5UrV2LHjh2orKzEunXrLB0qsSJZYin+TBEjv4jbPmC1SXlUdy3DpRtZBpc/XTuXU2h4EABtDZCk7MlNfV21NCq1xmCVT2k9amqagtqajBlTVy1UVr5UN9ABUDUvl0yhMtj8zZTazrpUTyRruyeTVihNGmzhcV4Zp33emiJOE6a4uDgMGzYMtraG238KBAL069cP8fHxXIZBGonQ1gYfvN0H7fxd8Et8Br7Zex3qJjraCSGkZbh9+zZGjBiB8PBwg+t79OiB4cOH448//mjkyEhzkJxuvL8M12qbKLcuD7JK9P5u6Ch9hmg07DPF1lzde6R/rRiaALo21+7m4fdbDe/jY+p8YUQfpwmTUChEenp6rdukpKTA0fHZOi6SpsPJwRYr5gxAWBs3XLieif/sumq2eSsIIcRUAoGgzjJGJBKZtbkKIU1djUEw6mhBb0p3lStGRjRs6Z7+hTF1aG9phZLz+ZGIcZwmTAMHDsS5c+dw8ODBGuvUajW+//57/PHHHxgxYgSXYZBGJrIX4ONZ/dC5rQfibuXgo82X692JlxBCzOmVV17BkSNHkJmZaXC9WCzGL7/8guHDhzdyZNyjAZRIvdXxvKDIhAE2nnXEt9Ly5lk7Rc9krBungz4sWrQIcXFxeP/997Ft2zZ06dIFDg4OEIvFSExMRHZ2Ntq3b4+FCxdyGQaxAAehAB/N6IvVe67j8u0cLFl7CR++3Qf+3tQ/jRDSeMaNG4fr16/jtddew+TJkxEREQFvb2/I5XLcvn0bW7duhUKhQI8ePXD27Fm91w4bNsxCURPSuOoaxjynwPSJThuqIZOqWoOGDjlOmgZOEyYfHx8cOHAAX331Fc6dO4fU1FTdOkdHR0yePBn/+Mc/IBI1bPI10rQJbW2wdEoEdp1MxoGz9/HOul/xzsSe6NWxlaVDI4S0ENHR0brpKzZu3Fij1kXbFO+9997TW8YwDJKTkxs1VkIIIU0TpwkTUJU0rV69GnK5HBkZGSgrK4OLiwuCgoLA5/O5PjyxMB6PwZTITvDzEmHDgZv4eMsfGPNCO0wa2ZHmaiKEcC4mJoaaphFCCAcy800buMKacZ4wadnZ2cHFxQUA0LZtW6hU5huRhTR9wyIC0cbHGV/tvIqDF1KR+LAA70zsBR9PGvCDEMKd+fPnWzoEi5EpqJwlhHCnuLR59jczhPNH/DKZDKtWrcKAAQMwePBgjBo1CgCwbds2TJkyBQ8fPuQ6BNJEtPN3xZpFg/FCT3+kZEgwb9V5HDyfSkOPE0IIB2Ry6jNBCCHmwGkNU3l5OSZPnoykpCT4+PggICAAjx8/BlCVSMXHx2PixIk4cOAA/P0bf2Zo0vgchAIsmdATER1bYfOh2/jx6B38+mcmYt7ohnYBrnXvgBBCTHTu3DkcPXoUWVlZUCgMj9jJMIzBEV0JIYQQThOmTZs2ISkpCf/+978xceJEbNiwARs3bgQALFiwAIGBgVi2bBk2btyIzz//nMtQSBPzfHd/dAv1xtbDiTh39TEWr72Iob0CMHlkR3i42Fs6PEJIM7F79258+umndc6z1Bz7OTXDt0QIIRbBacJ04sQJDBo0CJMmTQJQs0AaPXo0Tp8+jStXrnAZBmminB1tsWh8DwztFYAt/0vE2YTH+P1mNkYPbodRg9tCZC+wdIiEECsXGxsLNzc3rF27Fl27doWtra2lQyKEEGJlOO3DlJ+fj44dO9a6TXBwMMRiMZdhkCaua3svfLP4BcS80RV2tnz83y/3MOPT09h76i6kT89GTgghJsjLy0N0dDQiIiIoWSKEENIgnNYwubu748GDB7Vuc//+fbi7u3MZBrECfB6DEf2CMLiHP479noaD51Ox5/Q9/HwxFcMiAhE1MAS+XjRfFyHENCEhISgqKrJ0GIQQQqwYpzVMQ4YMwfnz53Hp0iWD60+dOoVLly7h+eef5zIMYkXs7WzwxtD22PrvlzDtlU5wFApw9Lc0zPnyLD7e8gdu3MuHRlN7XwRCCNGKiYnBiRMnjJZDzVlz7JdFCCGWwGkN07x583D+/HnMmTMHzz//PCQSCQBg/fr1SExMxKVLl+Dh4YGYmBguwyBWyN7OBq8PbY9Rg9vi8q0cHP71Aa4m5+Fqch683R0wpKc/hvYKgK8n1ToRQowbNmwYJk2ahNmzZyM4OBj+/v4Gm+YxDIP169dbIELulJUbHhGQEEKIaThNmDw9PbF3714sX74cFy9e1I1S9O233wIAIiIi8Mknn6BVq1ZchkGsmA2fh0Hd/TCoux9SMopxPC4Ncbeyse+XFOz7JQUdg9zxQk9/9O3sA3dnoaXDJYQ0MYcPH8b27dvBsiwePnxodO4/rmtjVCoVdu3ahf379yMzMxNeXl4YM2YMZs2aBYGAmwFuBDacT7VICCEtAqcJU2VlJXx9fbF582aIxWIkJSWhtLQUDg4O6NChA829REwSGuiG0EA3zHktHJcTc3Au4TFupoqRnF6E7w7eQodAN/Tr4ot+XXzg4+lo6XAJIU3Apk2bIBQK8d5776FHjx6wt7fMtAWffPIJ9u3bh549e2Lo0KG4fv061q1bh3v37mHdunWcHNPPW4T0nFJO9k0IIS0JpwnTmDFj0Lt3b3z88cfw8vLC4MGDuTwcaSGEdjYY0jMAQ3oGoEBSibjb2bh8OwdJDwtx91Exfjx6B35eIvQI80b3UC90aesJoR2nlzohpInKysrC2LFjMW7cOIvFcP36dezbtw/Dhw/H2rVrwTAMWJbF0qVLcejQIZw/fx5Dhgwx+3Ft+FTDRAgh5sDpXWRmZqbZC4FnbdYgkUiwbt06XLhwAYWFhWjbti1mzJiByMhIs8ZJGoenqz2iB7VF9KC2KJHKceVOLv5IzMHt1AIc+fUhjvz6EDZ8BmFB7ugU7IFOwe4Ia+MOR5rjiZAWwd/fH0qlZacn2L17N4Cqfr3apn8Mw2Dx4sX43//+hwMHDnCSMBFCiLXzcrNMq4CncZowhYWFITEx0az7fJZmDRUVFfjb3/6G5ORkjBgxAj4+Pjh9+jQWLVqEoqIi3QS7xDq5iOzwcp82eLlPGyhVGtxNL8KNlHzcuJePOw8LkfigEADAMECb1s5oH+CKED8XBPu6IMjHmZIoQpqhadOm4csvv8T48ePrnBeQK1evXoWbmxtCQ0P1lrdq1QpBQUFISEiwSFy14fEYqxyR1MnRtsGDXdjb2aBSrmrQaz1chCgulUPD1u+ctQ9wxf3HEt1rC0tkBrcL8nG2umaVrk52qJSroFJroFbX/xqy4fOgUmtq3cbXyxHZ4vIGxeVoL0C5GeZ2rP7ZNYSLyBYlUhqQBQA6t/XQ3ZsZ0yHQrZGiqR2nCdPixYvxz3/+E+PGjcOLL74If39/2NnZGdx22LBhde7vWZs1xMbG4s6dO/jwww8xceJEAMDcuXPx1ltvYdWqVRg5ciQ8PDwa9mZJkyKw4aFLO090aeeJKZGdIK1U4m56EZLTi5CcVoR7GcU1CiFvdwf4eTrC10sEH09H+Hg6opWbA9ychXByENAQvYRYIXt7ewQGBmLs2LHo2bMn2rRpY7AfE8MwWLp0qdmPr1AokJubi65duxpc7+fnh7S0NBQVFXEyJ6GPpyNYloWtgA9/bxHKKpRwcrCFpEyOnEIpikvlAKqe4rqI7ODr6QhppRIiewFUahYACx6Ph5spYpRVVN3k9encGtfv5iO8nSfshQKkZ5cgM18KR3sBenTwBgvgzsMCONgJEOznglKpHA+yStDO3xWuTnaokCmR+KAQzo62aO3hCFcnO0grFCguk8PPSwQWgEbDQq3RQFJWFZ+tgI/bqQVo5e4AHo9BTkE5Qvxc8DCrBADQI8wbSpUG7s5CFJfKkFdcgZIyORRKDTqFuBu8KesR5g2ZXI2ktEKEt/eEm5MQJVI5cgqqbsiD/VyQnFYIHo9B5xBP8HgM8osqkJxeBBfdwOUoAAAgAElEQVSRLbqFeqOsQgG5Qg1PV3sUl8nwILMEndt6QCZX4+Z9MRztBWjl7qCL09FeAHs7G/j8VdYYUlhSicQHhXC0F6CNjzN8vURISitE+wBXOAgFUKqqkgqBDQ+XbmSieo4W5OOMNj7OEBdXwslBAKGdDaSVSiQ+KICTgy0q5Sp4uAjBMAyEtny09qjq71t1vlnE3cqGm7Md2vq5okQqR2GJDM+FeIDHY6BQqpFTUA4XkR2S0wvRzt8Ndx8VQaNh4ectQla+FLYCHrq299LFI1OoIK1QwtPVHjK5Clfu5AIABnT1BY9hUFqugLOjLeRKNez/ajqfkVsKtYZFK3cHJCTlQeQggLRCCT9vEdr5u8LbzQHOjra4fDsHSpUG9kIbXbL1XLAHyioUENkL4CAUgGGAR7llKCmTo2uoF/KKKlBYUolOwR64eD1T92Cgrb8L3J2FeJhVArWaRWgbNxSWVOJBZtXnNrCbH/g8Biq1BjZ8HtxdhBDY8MGvdk04O9qitFwBkYMANjwe3JztYMPnwc6Wj8d5ZWjT2hlufw1OVVQqQ4GkEq3cHWDD58HRXoD84gq4iOyQ+liCAkkl3JztUF6phJ+XCE4OtsgpLAefxyC3sELvenFysEVooCvyiyvh4SKEg7BqX6VSBQJaiVBaocD9DAlsBXwolGq4iuzQpZ0nfv0zCwDQpZ0nKuUqlEoVcHO2w71HxeDxGHRo44Z76cXQsCzC23lCw7K675GjvQBd2nnCTsCHUqVGdkE50rNL4eRoi45B7kjJKEZgKycIBHzcThVDoay6Zm1seOgZ5o3iUjkc7QVwdrRFl3aeSE4vQq+OrWAn4KO4TIY7Dwvh7eaA0CaSLAEAw7L1fBzSAGFhYU8OZORmk2VZMAyD5OTkOve3ZMkSHD16FEeOHNF7UpeXl4fBgwdj6NCh2Lhxo9HXP//881Cr1bh06RL4fL5u+dGjR7FkyRK89957mDZtmtHXZ2ZmYtiwYTh79iwNWGHl1GoNMsVSpGWV4GF2KdKySpCeW6ornJ9mw6/68XN3EsLN2Q4uIjuI7AUQOdhCZC+Ao73gyb8OAojsbeEotAGf+hAQYtHfzurlUG3qWw6ZKj8/H4MGDcLAgQOxdevWGusXLlyIEydO4PTp02jTpk2N9Vyfu/yiCkgrlQjxc6nX9toyu6molKugUKrhIjL8MFaLZVlUylVwEFa1JNDe+GrXcf2e1GoNisvkcHcWgser+1jV46uNUqWGQqkBwwA8hrFIf12NhgWPx0Ct1oDHY2o9lyVSOXg8Bk4ONYf2N6RCpoTQ1sboOZOUyeFobwOBDd/g+tqoNSwYoNbPQyZXQcOyuuvG2qnUGvD/+oykFQrY2PAgtK3/NVPbd0WtYcE3ci5ZloVKrWnQ59RQ5v7t5PSbFRMTY9YfoWdp1pCRkYG8vDwMHz5cL1kCgD59+gAAEhISak2YSPPB5/PQprUz2rR2xgs9nyyvkCmRW1iB7AIpssXlKJBUoqhUhuIyGYpK5XiQJYEqo/7PGGwFfDgIbWBvZ/PkXzuB/t96/wpgL7SBg50N7IU2ENraQGDDq/o/v+pfSsIIqb/Y2FiLHl+lqmriZWjup+rL5XLDD2u45u3uAG8Ttm9KyRJQ1YzOvh5JAsMweje91ZORxnhPfD4Pnq7174tR3wE7BDb8Rr0JNUSbcNSnbKorsX1aXYmKq5Np+6vO2M19dc1twKjq15WonklrdbV9V2o7nwzDWPw6fVZmvRLOnj2LkJAQBAcHAwDmz59vtn0/a7OGjIwMAEBgYGCNdV5eXrCzs0N6enqtMajVagBAbm6uidETa2ILIMgDCPJwAOCgt45lWUgrlZBWKFEhU6FCpkS5TIlKmQrlsifLqv5VoVIhh0xegZJyJfIVasgU6meOj2EAGz4fNjY8CPgM+HweeEzVDxKvWodyHk+7rOo1YBjw/toBg6qnkaj6X9WP4F/7qPpP5q/lVf+t3Q68J9vrtqu+j+r7MrQdA/y1pydx4UmBy/wVmy6Wp5bxqv1YM3r//fQ5Ymou0x35yX9o43r6BDOM3mZ/vR9tjPrHqb6dOW+7zFX1b6798BgGfZ5rBVcn0+c70/5man9DG1Pv3r0b/ZjVCYVV58vYwBMKRVUzN2PDnVO5QwghpjN3uWPWhGnevHmIiYnBvHnz9JZnZ2cjKysLERERDd63RFLVwc7Jycngeu3ysrIygwmT9vXOzs4GXy8SiVBWVlZrDGKxGAB0/Z8IIYTUn1gsNtjszJJUKhUkEgkuXryI119/3ez7F4lE4PF4kEqlBtdryx1jZRuVO4QQ0nDmKnfMmjAZ6w518OBBfPvtt8/UPvxZmzXU5/WVlZW1xtC5c2fs3r0bXl5eNZr1EUIIMUytVkMsFqNz584WOfbXX3+No0ePoqioqNanjVwkTLa2tvD19UVmZqbB9ZmZmXB3d4erq6vB9VTuEEKI6cxd7lhN48xnbdagHZ1Pu52h1zs4OBhcVz2GXr161SteQgghT1iqZmnLli3Ytm0bbG1t0aZNGzx69Ahubm5wcnJCdnY2ZDIZPDw8MHv2bM5i6NmzJ/73v/8hLS1N12QdqBqwKD09vdbRXancIYSQhjFnuWM1vceftVmDi0vVCEDGXi+VSiESGR7ikxBCiHU6cuQIXFxc8Msvv+DYsWOIiIhAnz59cPz4cVy5cgVjx45FUVER2rVrx1kMo0ePBgCsWbMGGk3V8Losy2L16tUAgDfffJOzYxNCCHl2VlPD9KzNGoKCgnTbPS0/Px9yuVzvyR8hhBDrl5mZiaioKLRq1QoA0KVLFxw+fBhAVcuDjz/+GFevXsX27dvRv39/TmLo378/IiMjcfz4cbz55pvo06cPbty4gatXr2L48OF44YUXODkuIYQQ87CaGiagqlmDWCxGWlqa3nJtswZjI+gBgK+vL3x9fXHt2jXdEz6t+Ph4AED37t3NHzQhhBCLqj4QUFBQEPLy8lBaWjVxNY/Hw8CBA5GamsppDP/5z3+wYMECFBcXY8eOHSgoKMCCBQuwatWqJjdUNyGEEH1WlTA9a7OG6Oho5ObmYteuXbplUqkU3333HYRCIUaNGsVR5IQQQizB19dX7yGbdmqJlJQU3TIbGxsUFRVxGodAIEBMTAzOnDmD27dv49SpU4iJiTE6EBEhhJCmw+xN8uLj47Fhwwa9ZVeuXAEAfPvttwZH0mMYBjExMXXu25RmDevXrwegPxfUzJkzcfLkSXz22WdISEhAQEAATp8+jcePH+ODDz4wOBw5IYQQ6zV48GDs3LkTP/30E0aPHo1OnTpBKBRi9+7d6NWrF0pLS3HmzBldkz1CCCHkaQxrbCzwBggLC2tYEAxT7yHHlUolNm/ejJ9//hl5eXnw9fVFdHQ0Zs6cqfekrkOHDgCAe/fu6b2+oKAAq1evxvnz51FZWYmQkBC8/fbbeOWVVxoUuzEqlQq7du3C/v37kZmZCS8vL4wZMwazZs2CQFD7zNXEenzzzTfYtGmTwXWRkZFYs2ZNI0dEzCEvLw+RkZGYP38+pk2bVmP9oUOHsH37dqSnp8PZ2RkjR47EggUL4Ojo2PjBkloVFxdj7NixyMrKwscff4xx48Zh5cqV2LFjBzw9PSGXyyGVSjF//nzMnTvX0uGaTUsqg8RiMdavX4+LFy+isLAQLi4u6NevH/7xj38gICBAt92BAwfw73//2+A+unbtiv379+stu3DhAjZt2oSUlBQIhUIMGTIES5YsgYeHR43X37hxA2vXrsWdO3fAMAz69u2Lf/7zn3rHbypMKbdM+a1rjudLey9Zm9jYWPTp0wdAy73GzFlmcnVOUlNTsXr1aty4cQMKhQLdunXD4sWL8dxzz9XrPZq1hmnlypXm3J1B2mYNddVIPZ0oaXl6euLzzz/nIjQ9n3zyCfbt24eePXti6NChuH79OtatW4d79+5h3bp1nB+fNI67d+/C1tYWs2bNqrGuffv2FoiIPKvy8nLMnz/f6Iia33//PVavXo0OHTpg0qRJSElJwfbt23Hz5k3ExsZSE6smxs3NDYcOHcKePXsQHh4OAFiyZAkUCgWOHTsGOzs7jB071uB32Jq1lDJILBZj7NixyMnJwYABAxAZGYm0tDQcPXoUv/76K/bt26cb9El7XzBz5kzdVCNarVu31vv76NGjWLJkCQICAjB+/Hjk5OTg559/RkJCAn766Sc4Ozvrto2Pj8ff/vY3uLi44LXXXkNZWRmOHj2KK1eu4KeffoK/vz+3J8FE9S23TPmta67na968eQaXFxYWYu/evfDw8EBISIhueUu8xsxZZnJ1Th48eIDx48dDo9EgKioKDMPg8OHDGD9+PHbt2qUrG2rFErO7du0aGxoays6fP5/VaDQsy7KsRqNh//Wvf7GhoaHsuXPnLBwhMZchQ4awo0ePtnQYxEwyMzPZ1157jQ0NDWVDQ0PZH3/8scb6Tp06sW+++SarUCh0y7/55hs2NDSU3blzZyNHTEhNLakM+uCDD9jQ0FB227ZtessPHTrEhoaGsrNnz9YtmzRpEtu7d+869ymVStmIiAh22LBhbFlZmW75gQMH2NDQUPaLL77QLVOr1ezw4cPZXr16sTk5ObrlcXFxbIcOHdj58+c/y9vjRH3KLVN+65r7+TJkzpw5bIcOHdjffvtNb3lLu8bMWWZyeU6mT5/OdurUiU1KStItu3fvHtu1a1d2zJgx9XqvVjXog7XYvXs3gKonE9rRjxiGweLFi8EwDA4cOGDJ8IiZSKVSZGVl1avKnjR927dvR1RUFO7evYu+ffsa3Gb//v1QqVSYPXu2XrOmOXPmQCQS0XfbSsjlcjx69Ajl5eWWDoUTLakMOnPmDNzd3TF16lS95aNGjUJgYCB+++033SBRKSkpCA0NrXOfx44dQ0lJCaZNm6Y3P+Mbb7yB4OBgHDx4EGq1GgBw+fJlpKWl4Y033tCrQejXrx8GDBiAM2fOoLi42Bxv1SzqW26Z8lvXnM+XIYcPH8a5c+cwduxYDBgwQG9dS7rGzF1mcnVO0tPT8fvvv2PYsGHo2LGjbtvQ0FBER0cjMTGxXt2CKGHiwNWrV+Hm5lbjS9OqVSsEBQUhISHBQpERc7p79y6A+rVxJk1fbGws/Pz8sGvXLqMjZmq/u71799Zbbmdnh27duuHu3bu6SbSJZZ07dw7vvfee7nsKVI2q+vXXX6Nv374YMWIEevfujYULFzb5GzRTtZQySK1WY/bs2Zg3bx54vJq3M7a2tlAqlVCpVMjNzYVEIqnX77X2/Gj7pVTXu3dvSCQS3L9/v85t+/TpA7VajWvXrpn0vrhU33LLlN+65ny+niaXy7FmzRo4OTlh8eLFeuta2jVm7jKTq3NS17bAk+mFakMJk5kpFArk5ubqhq59mp+fH0pLSzkfwpZwT9tWuaioCNOnT0dERAQiIiKwYMECPHz40MLREVN9/PHHOHToEHr06GF0m4yMDHh6ehrsqOrn5wcANeaJI43vww8/RExMDA4dOoRHjx7plq9ZswY//PADZDIZ+vfvj379+uH06dOYPHkyFAqFBSM2n5ZUBvH5fEydOhUTJ06sse7Bgwd4+PAhAgMDYWtrq/u9ViqVmDt3Lvr164fu3bvj7bffxq1bt/Re+/jxYwAw2HFc2y9C+z2vbVvtb0J6enoD36H51bfcMuW3rjmfr6ft2bMH2dnZmDFjBtzc3PTWtbRrzNxlJlfnxFznjxImM5NIJAAAJycng+u1y+kptPXT/jhu27YNIpEIY8eORXh4OE6dOoVx48bVe+RH0jQMGjQIfD6/1m0kEkmd321jHV9J4zh37hz279+Pjh07YsuWLbrpJvLy8rBt2zYwDIMVK1Zg69at2LJlC9avX4/U1FTExsZaNnAzoTII0Gg0WLFiBTQaDcaNGwfgye/1//3f/0Eul2PMmDEYMGAALl++jAkTJuDXX3/Vvb64uBi2trYQCoU19q1tKqT9nmvPd/XO6E9v25TOdX3LLVN+65rz+apOrVYjNjYWjo6OmDBhQo31Le0aM3eZydU5qW1bU34PzT4PU0unUqkAwOhIWdrlcrm80WIi3ODz+fDz88PKlSv1qnoPHz6Mf/7zn1i2bBl+/vlnC0ZIzE2lUtF3u4n773//C1dXV8TGxuq1gz958iRUKhXatGmDN954Q7d82LBh6NGjB06ePIkZM2ZYImSzaullEMuy+PDDD3H58mV07txZ17dJo9HAz88PCxcuRHR0tG77+Ph4TJs2De+99x7Onj0LOzs7k77nSqVSb7mhbZtS7WV9yy1TzkFzPl/VnTt3DtnZ2Zg+fbrBm2+6xmpqCteRuc4f1TCZmTYz1n5AT9N+KPb29o0WE+HGRx99hHPnztVoFxsdHY2IiAgkJSVR07xmRigU0ne7ibt16xZeeOEFvWQJAOLi4sAwDIYOHVrjNV27dtVrumfNWnIZpFKpsGzZMhw4cAABAQHYuHGj7oZozpw5OHfunN6NLFDVNyIqKgpisVjXj8GU73lt57spnuv6llumnoPmer6qO3ToEADoai2fRtdYTU3hOjLX+aOEycxEIhF4PJ7RZjnaaj9jVZSkeejUqRMAIDMz08KREHNydnY2WnVP3+2moaSkBK1atdJbptFodB2A+/XrV+M1NjY2Rgtqa9NSy6DKykrMnTsXBw8eRFBQEGJjY2tcB8Y8/Xvt7OwMuVxu8Kmz9rxqz5+2psHQ78LT2zZ11c+DKb91LeF8yeVyxMXFITQ0VG/epfpqqddYU7iOatvWlN9DSpjMzNbWFr6+vkZvlDMzM+Hu7g5XV9dGjoyYk0qlwq1bt3Dz5k2D62UyGQDUmLiOWLegoCAUFhbqPt/qsrKywOPx0KZNGwtERrScnJxqjHp369YtSKVS2NjYICIiosZr0tPTa3TgtlYtsQwqKSnB1KlTcfHiRXTq1Al79uyBr6+v3jZ37twxOjqgtpmP9vdaO9GtoXOoXRYcHGzytpZmSrllym9dcz1f1cXHx6OiogLDhw83ug1dYzU1hetI+++znj9KmDjQs2dPiMXiGqNl5eXlIT09HV27drVQZMRcNBoNJkyYgJkzZ+rmBdBiWRY3btyAjY2N3pj/xPr17NkTGo0GV69e1Vsul8vx559/ol27djWagpHG1aVLF8TFxenm3gGqZo8HqmqXnm56IRaL8dtvv6FLly6NGieXWlIZJJfLMXv2bNy8eRO9e/fGzp074eHhUWO7mJgYTJkyxeDogNrax86dOwOoOn8ADN78XrlyBU5OTmjbtm2d28bHx4PH4yE8PLyB7868TCm3TPmta67nqzptkqmN3xC6xmpqCtdRXdsCQLdu3ep8L5QwcWD06NEAqoaw1RbaLMti9erVAIA333zTYrER87C1tcWQIUNQUlKCzZs3663btm0bUlJS8OqrrxrsGEqs16uvvgo+n48NGzboNRv47rvvIJVK6bvdBIwbNw6ZmZlYvHgxEhISsHv3buzbtw8Mw9QYfrqoqAgLFy6ETCar0e/AmrWkMmj16tW4ceMGunfvjh9++MHoA4sRI0ZAo9FgzZo1YFlWt/zEiRO4cOECIiIidPNWvfjii3B0dMSWLVt0I2wBVQOKpKenY+zYsbp5n3r37g1fX1/s27dP7wn25cuX8fvvv+Oll16Cu7s7F2/dZKaUW6b81jXX81VdUlISAOC5554zug1dYzU1hesoICAAPXr0wKlTp3D79m3dtikpKTh8+DA6d+5c6+eqxbDVP1ViNosWLcLx48cRHh6OPn364MaNG7h69SqGDx+OtWvX6mZfJ9YrMzMTb731FsRiMfr374+wsDAkJiYiPj4e7dq1w65du5pNM5+W5uDBg3jvvffw3nvvYdq0aXrrVq1ahR9++AFt27bFkCFDkJqaigsXLqBHjx7YsWOH0VF+SONZsWIFdu/erfudZVkWEyZMwIcffqjbZs6cObh8+TLkcjlGjBiBb775xlLhcqIllEFisRhDhgyBUqnE66+/Dh8fH4PbzZo1C3K5HG+99RYePHiArl27omfPnkhLS8OFCxfg6emJvXv36s3TsnfvXixfvhw+Pj4YOXIk8vLycOLECQQGBmLfvn16TRovXLiAuXPnwsnJCVFRUaioqMCRI0cgEomwf/9+g/O/WIop5ZYpv3XN9XxpRUVFISMjw2hzRgAoLS1tsdeYucpMrs5JYmIiJk2aBIZhEBUVBT6fj8OHD0OlUmHnzp31qqGjhIkjSqUSmzdvxs8//4y8vDz4+voiOjoaM2fOpBuqZiQvLw9r167FpUuXIJFI4O3tjeHDh+u+xMQ61fbjz7Is9uzZgz179iAjIwNeXl546aWXMG/ePPrMm5D4+HicP38eKpUKAwYM0M3HpPXyyy9DKpVi4sSJmDNnTp3ziVibllAGnTlzBjExMXVul5CQAGdnZ5SWlmLDhg345ZdfIBaL4erqihdeeAELFiyAt7d3jdcdP34cW7ZsQWpqKlxcXDBw4EAsWrTI4LZxcXHYsGEDkpKS4ODggF69emHx4sW6vhZNSX3LLVN/65rr+QKAgQMHAgB+++23WrdrqdeYOctMrs7JnTt3sHr1aly/fh0CgQBdunTBwoUL690cmxImQgghLY5UKqX+ZoQQQuqFEiZCCCGEEEIIMYIGfSCEEEIIIYQQIyhhIoQQQgghhBAjKGEihBBCCCGEECMoYSKEEEIIIYQQIyhhIoQQQgghhBAjKGEihBBCCCGEECMoYSKEEEIIIYQQIyhhIoQQQgghhBAjKGEihBBCCCGEECMoYSKEEEIIIYQQIyhhIoQQQgghhBAjKGEihBBCCCGEECMoYSKEEEIIIYQQIyhhIoQQQgghhBAjKGEihBBCCCGEECMoYSKEEEIIIYQQIyhhIoQQQgghhBAjbCwdACGEEGJuDx48QHJyMkpKSjBx4kRkZ2fDxcUFjo6Olg6NEEKIlWFYlmUtHQQhhBBiDqmpqVi2bBlu374NAGAYBklJSdiwYQO2b9+OTz75BJGRkRaOkhBCiDWhJnmEEEKahcePH2PixIlISkrCq6++ir59+0L7TNDf3x8ajQbvvPMOrl69auFICSGEWBNKmAghhDQLa9euhUwmw759+/DVV1+hZ8+eunWjR4/G/v37IRQKsXnzZgtGSQghxNpQwkQIIaRZiIuLw8iRI/Hcc88ZXN+uXTuMGDECSUlJjRwZIYQQa0YJEyGEkGZBKpXC3d291m2cnZ1RVlbWSBERQghpDihhIoQQ0iwEBATg2rVrRtezLIv4+HgEBAQ0YlSEEEKsHSVMhBBCmoXo6GjcvHkTq1evhkaj0VunUCiwcuVKJCcn0yh5hBBCTELDihNCCGkWlEolZsyYgStXrsDFxQW2trYoKChAr169cP/+fUgkEnTt2hU7d+6Era2tpcMlhBBiJaiGiZBGJBaLsXz5covGsHnzZty6dcuiMRDCBYFAgK1bt+Kdd96Bm5sbxGIxWJZFQkICHBwcEBMTg9jYWEqWSItDZQ8hz4ZqmAghhDRLFRUVKCsrg6OjI0QikaXDIYQQYqUoYSLEDA4ePIiLFy9CJpMhIyMDM2fORFhYGFasWAE+nw87OzusWLECGo0Gixcvxv79+7FmzRpcuXIFKpUKL7/8MmbNmoV79+7h008/BQC4urri888/h5OTU43jKZVKREZG4n//+x8cHBywdetW8Pl89O/fH1988QXUajWKi4uxfPly9OjRA0OGDEFISAjatm2L0tJSREZGokePHnj//fdRVlaG/Px8TJgwARMmTMDkyZMRFhaG+/fvQyqVYu3atfDz88PGjRtx5swZqNVqjB8/Hm+99RZ27tyJo0ePgmEYREZGYsqUKY196gkhpMWisofKHtI4bCwdACHNhVQqxdatW5Geno45c+bAwcEBn332GTp27IgzZ87giy++wL/+9S/d9keOHEFsbCy8vb1x8OBBAMAHH3yAzz//HO3atcOBAwewZcsWLFq0qMaxBAIBXn75ZZw+fRqjR4/G0aNHsW3bNly+fBnvvvsuOnTogCNHjuDgwYPo0aMHcnJycPDgQbi5uWHp0qUAgEePHuGVV17Byy+/jLy8PEyePBkTJkwAAISHh+P999/HmjVrcOzYMQwcOBCXLl3CgQMHoFarsXr1aty/fx/Hjx/Hnj17AADTp0/HwIEDERISwvWpJsSgefPm1Ws7hmGwfv16jqMhpHFQ2UNlD+EeJUyEmElYWBgAwMfHBwqFAlKpFB07dgQARERE4Ouvv9bb/quvvsLXX3+NgoICDBo0CADw4MEDfPzxxwCqnuQFBQUZPd7YsWOxfPlyhISEIDg4GG5ubvD29sbGjRshFApRXl6ua4bk5uYGNzc3vdd7enpix44dOH36NEQiEVQqlW5dp06dAACtW7dGQUEB0tLSEB4eDj6fDz6fj6VLl+L48ePIzs7GtGnTAAAlJSV49OgRFVrEYs6cOVPreoZhIBQKIRAIGikiQrhHZQ+VPYR7lDARYiYMw+j97e3tjbt37yIsLAwJCQl6BZBCocDJkyexevVqAEBkZCReeeUVBAcH48svv4Svry+uXbsGsVhs9HhBQUFgWRZbtmzB+PHjAQCfffYZVq1ahbZt22LdunXIysoCAPB4Ncd32bZtG7p164YJEybgjz/+wMWLF40eKyQkBHv37oVGo4FarcasWbPw7rvvol27dtiyZQsYhsH27dvRoUOHep8vQszt7NmzBpfLZDI8evQIW7duhUwmw44dOxo5MkK4Q2UPlT2Ee5wmTBkZGQgMDOTyEIQ0WZ9++ilWrFgBlmXB5/Px+eef69bZ2trCxcUF48aNg1AoxIABA+Dr64vly5fj3XffhUqlAsMw+Oyzz2o9xhtvvIF169ahb9++AKrmofnHP/4BZ2dntG7dGsXFxUZfO2TIEHz66ac4fvw4nJycwOfzob3zC8MAACAASURBVFAoDG7bsWNHDBo0COPHj4dGo8H48eMRFhaGfv36Yfz48VAoFAgPD0erVq0acKYIMQ8/Pz+j69q2bYsBAwYgKioKX3/9NT766KNGjIyQxkNlDyHmx+mgD2FhYejevTtGjRqFkSNHwsXFhatDEUIIIXX68ssvceTIEfz222+WDoUQQoiV4LSG6bXXXsMvv/yC5cuX47PPPsMLL7yAUaNGYfDgwdSGnJB6UCgUePvtt2ssDw4OxieffGKBiAixbsXFxZBKpZYOg5AmjcoeQvRxPqy4QqHA2bNncfjwYfz6669Qq9VwdnZGZGQkoqOj0b17dy4PTwghpIUwlghpNBpUVlbi/Pnz+PTTT9GlSxfs3bu3kaMjhBBirRp1HqaSkhIcP34cJ06cwPXr16FWqxEQEIDo6GiMGjUKAQEBjRVKg8hkMiQmJsLLywt8Pt/S4RBCiFVQq9UQi8Xo3LkzhEIhZ8cJCwur0QH+aTweDz/88AP69+/PWRzmROUOIYSYztzljkUmrlUqlThz5gy++uorZGdnVwXCMOjbty/mzZuHnj17NnZI9XL16lVMnDjR0mEQQohV2r17N3r16sXZ/idPnmxwOcMwEAgECAkJweuvv64bhtkaULlDCCENZ65yp9GGFddoNPj1119x7NgxnD17FhUVFbCxscHLL7+MkSNHIjk5GT/99BMmT56MTz75BG+88UZjhVZvXl5eAKpOfuvWrS0cDSGEWIfc3FxMnDhR9xvKlZ07d3K6f0ugcocQQkxn7nKH84Tp6tWrOHbsGE6dOoXi4mKwLItu3bph1KhReOWVV+Ds7AwAGDlyJCZMmICoqCisX7++SSZM2uYQrVu3hr+/v4WjIbVRa1jkFZYjr6gCFfKqSfFEQgF8vBzh5WpfZ7MdQoj5UZMy01G5Qwh3lCo1xMWVaO3hCB6P7guaI3OVO5wmTEOHDkVOTg5YloWvry9mz56N0aNHG51BunXr1ggICNA10yPEFIUllfjtZjauJuXhXkYRKuVqg9u5iuzQs6M3Bnf3R7dQL0qeCLFSK1eubNDrGIbB0qVLzRwNIcTaJKUVQVImh4Zl4e/tZOlwSBPGacIkkUgwevRojB49Gn369KnXa6ZPn07NDki9sSyLxIeFOPZbGi4n5kCjqeqSF9BKhHb+rvDxcISjQ9UQ9mXlSjzOL0PSw0KcTXiMswmPEdBKhInDO6J/uA8lToRYmR07djTodZQwEUIAQFqhBADIFIYfsBKixWnCFBcXpxuZQq1W61WLZWVlGZyVPSoqisuQSDOSnFaELYdvIyVDAgAI9nXGiH5B6NvZB+7OxkdE0WhYpGQU43hcGi7dyMIXsQl4LsQD88d1g5+XqLHCJ4Q8o9jYWEuHQAghpAXgNGESCoW4fPkyvvjiC4wZMwZTp04FUFUrMHLkSLRp0wYrV65E586duQyDNDPi4kpsP3YHl25kAQD6dfHBqOfbolOwe71qiXg8BmFB7ggLcsdbL3XAj0fv4I/EXCxYdR5/f70rXuwdyPVbIISYQe/evS0dAiGEkBaA04Tp6tWrmDlzJgQCAezt7XXLFQoFoqOjcfLkSUyYMAG7du1CeHg4l6GQZuLC9Uxs/O9NVMpVaBfgipmjOqNTsEeD9+frJcL70/vgt5tZ2HDgJtbuu4H7j4sxY1QXCGx4ZoycENJY5HI5JBIJNBoNtDNnsCwLlUoFiUSCixcvYsGCBRaOkhBCiLXgNGH69ttv4ejoiAMHDiAw8MlTezs7O3z66aeYNWsWXn/9daxbtw5btmzhMhRi5SpkSnx38BbOX8uEvR0f88d1w4sRgWYb1WZgVz+09XPF59vjcTwuHWnZpVg2rTdcnezMsn9CCPcqKyuxdOlSnD17Fmp17X0SKGEihBBSX5w+Qk9OTkZUVJReslRdYGAgIiMjcf36dS7DIFYup6Aci9ZcxPlrmQgNdMXaxUPwcp82Zh8C1MfTEV/NH4Tnu/shOb0IS7/9FfnFFWY9BiGEOxs2bMCpU6fg6uqKQYMGwc7ODiEhIRg4cCB8fX3Bsiw8PDzw7bffWjpUQgghVoTThEmtVkMul9e6DcMwuiYThDwtJaMY/1x/CdkF5Rg9uC2+nDcIPp6OnB1PaGeDdyb2xBtD2yNLXI53N/yGLLGUs+MRQsznzJkzaN26NU6fPo3Nmzejb9++CAkJwQ8//ICzZ89i3rx5KCwsrLNcIoRYN5lCBbVaY+kwSDPCacIUFhaG8+fPo6ioyOB6iUSC8+fPo0OHDlyGQaxUfFIulm36HWXlCsx9PRxvR3eGDZ/7fkUMw2DqK50wJbIjCiSVeHfDr0jLLuH8uISQZ5OTk4OhQ4fCwcEBAPDcc8/hxo0buvXz5s1Dx44dsXfvXkuFSEiLViFT4lFOKacPyjUaFlcScxGflMvZMUjLw+nd59SpU1FQUIApU6bg+PHjyMrKQklJCbKzs3Hy5ElMmzYN+fn5mDZtGpdhECsUfycXn/8YD5YFlk3rjZH9gxs9hrHDQjH39XCUSBX44Ps4ZOSWNnoMhJD6s7GxgaPjkxrowMBAFBYWorCwULesT58+SE9Pt0B0pKkpLpXh9oMCqDXUyoVLLMvqEqSb98VIzylFfnElZ8fTfp4KJdUwEfPhdNCHF198EYsWLcL69euxZMmSGusZhsH8+fMxYsQILsMgVubPlHx8EZsAGxsePp7ZD8+FNHwUvGc1sn8wGIbBt/+9ife/i8PKuQNoNnBCmqjAwEDcu3dP93dwcDBYlsXdu3cxYMAAAIBSqURZWZmlQiRNyK3UAgBAgaQSrdwdat2WZVma3LyB4m7nwNaGh4hOrXVJjFLF3USxiQ8KONs3abk4TZgAYPbs2Rg+fDhOnDiBe/fuobS0FA4ODggNDcWrr76KkJAQrkMgViQprRCf/lWz9O/pvS2aLGmN6BcElVqD73++jfc3xeGLmIGc9qMihDTMSy+9hG+//Rbr1q3DlClTEBYWBhcXF/zwww/o3r07CgsLcfLkSfj7+5u032+++QabNm0yuC4yMhJr1qyp9fUSiQTr1q3DhQsXUFhYiLZt22LGjBmIjIw0KQ5iGTKFClcScxHY2gnBvi6WDsfqqFQaqFSNV9tTWq545n1oNKzZB5Zq6VIzJXBzsoOHi33dGzdBnCdMABAUFIS///3vjXEoYsUe55Xhky1/QKXSYNm03ugW6m3pkHReHRgClVqDrYfv4P3vfsfKuQPrfCJJCGlc06dPx8WLF7Fp0yb4+fnh9ddfx7Rp07B27Vr07t0barUaLMuaXB7dvXsXtra2mDVrVo117du3r/W1FRUV+Nvf/obk5GSMGDECPj4+OH36NBYtWoSioiJMmjTJpFhI4yuRVt2AZ+SWtYiEiWVZyBVqCO24u0VsKrV1LGo2x0zJKEZOQTn6dvGBnYDPyXFbWkImV6qRlS9FVr4Ug3uY9sCqqWiUhKmyshK5ublQKBRGO/qFhYU1RiikiSotV2DF1isol6mweEIP9H6utaVDqmH04HZQqjSIPZ6M9zf9ji9iBsLT1TqflBDSHDk4OGDv3r04deoUOnXqBACYM2cOBAIBjh07Bjs7O0RFRWHixIkm7TclJQXt2rXD/PnzTY4pNjYWd+7cwYcffqg77ty5c/HWW29h1apVGDlyJDw8GqcmPTmtCAWSSgzs5ttkblibgroGIOA10XNVIpXDQSgwOMl6doEUJWUKdAx2N3m/9x9LkFNQjq7tvax+LkJxcSW83IyX02p11Wdf/RPOKSgHAEgrFLDjoDYk9bEEWWIppwlZU9McRsPmNGGSyWT44IMPcOLEiTonEUxOTuYyFNKEKVUafLEjATmF5Rj3YiiG9AywdEhGjR0WCpVKgz2n7+H9Tb9jZcxAuDsLLR0WIQRV/ZMEAoFeUzeGYTBjxgzMmDGjQfuUSqXIyspC7969G/T6PXv2wNPTE2+99ZZumUgkwpw5c7BkyRIcOXKk0QY+0s4rx7JAE80BLIJla3/iz+N+cFaTVcpV+DNFDKEtH306+9RYfz9DAgAIDXQF38TRZbUJQ0m53OoTpqS0Qgx2M1yjoazWTLAxb+e1U5WUlStgRw9drQanCdPatWtx5MgRuLu7o3v37nBycqKnWkQPy7L4/udbuP2gAP26+GDi8KZf0/jWyx2gUGnw33P38e+/BoJwEVl3oUJIczBw4ECMGDECUVFR6NWrl1n2effuXQBo0PQXGRkZyMvLw/Dhw8Hn6z9J7tOnDwAgISGBRoq1sJSMYtx/XIznuzf9pkJFpTKUlivg+leZI1NwN3hCc6dp5FqPy7dz4FYtAW0GlS4tCqcJ0/Hjx9GmTRv89NNPEIlEXB6KWKlf4jNw6o9HCPFzweLxPayiTS/DMJgS2REKlRqHLz3EB9/H4bO/D4CTg62lQyOkRXN3d8e+ffuwf/9++Pj4ICoqCq+++mqd/Yxqox11r6ioCNOnT0diYiIAoF+/fli4cGGtAxdlZGQAqBq972leXl6ws7OzyBDndJ9Wk7XcvN7+a2Q/x2DLD4hUH025KVZj320olGrkFVXUuk2JVA4+j4GoGdxPaDQsktIK4eslgoOwUXoAcYrTiubi4mK89NJLlCwRg9KyS/D9wVsQ2Qvw/rTenHYwNTeGYTAjujNG9g9CWnYpPtx8GeWVSkuHRUiLduLECRw6dAhvv/02eDwevv/+e0RHR2PUqFHYunUr8vLyTN6nNmHatm0bRCIRxo4di/DwcJw6dQrjxo2rtTm5RFLVLMrZ2dngepFI1KyGOFeqNLh5XwxJmdyk16Q+lkCmUHEYWdNQWFKJClnjlhNNN12xPIn0yXXaVB7V/pkixrW7+ZYOwyyKSmUoLJFVJfnN4ELkNGFq06YNcnJyuDwEsVLllUqs3JEAhUqDxRN6wNsKR5xjGAZzXgvHixGBSH0swfIfLjd6YUgI0RcWFoZ33nkHZ86cwf79+zF58mRIJBJ89dVXGDJkCKZMmYL//ve/9d4fn8+Hn58ftm3bhvXr1+Nf//oXtm7diq+++gplZWVYtmyZ0deqVFVJgK2t4afFtra2kMvrn1w0ZSzLIqdACkmZHDfvi3XLS6RyZP/VZ8OQtOwSZImluPeouDHCNIlcqYZGoz//krRSibhb2Sguk5m0L6VKg8QHhUhIMj1pNxeWZZGWXQJpxbMPuy2tUCD1saRJ1yDVpVJmfUm6Sq1BUlqhWT5DrlnxpWEQpwnT1KlTcfr0ady6dYvLwxArw7Is1u2/gZyCcrwxtD0iOjW9EfHqi8djMG9cNwzu7o+7j4qxYtuVFvGklBBrEB4ejmXLluHixYv48ccfERoaivj4eHzwwQf13sdHH32Ec+fO6focaUVHRyMiIgJJSUl4+PChwdfa2VX1V1AoDN/cKBQKODg0/sMic9/k3k4twKUbWQYfIv+ZIsb9xxKjE5VqO94rlLX3xamUq1BWoYBaw6K4TGbwPTzOK0NuYbnJ8RuL64/bObh+T/9pf0Zuqa5WTItlWcTdysb9x8aTPrWm8eYhMkZSJkdGbln9azBquUyu3c1HllgKsaSy9l0Y2Ycla3QKSypRIpU3nWolE2SJpRAXV+LmX00z1Rq2zu9OgaQSmfn6NdlFpTK9B7wKpRrpOaVQq5/tOi2rUODi9UwUlhi/Lqw1yea0DZSNjQ1CQ0MxYcIEREREICgoyOCTNoZhsHTpUi5DIU3IycvpiLuVg+dCPDBpRNMf5KEufB6DReO7Q6lWI+5WDj77MR4f/K0PbFvIcKGENFWVlZU4f/48Tpw4gd9//x0VFRVwdnbGiBEjzLL/Tp06ISEhAZmZmQb7Mrm4VM3ZI5UarmGRSqWNNqS4qtqN0O83s9GhjRtaezz7BNyJDwpQVFpV21LbfZDG2I1zPW9a4+/kAgB8PB2RU1CO9gGu8PXSb+7/MKsEAOr1vuR13GRqb0Lr09RapWahVGmQLS5H+wC3Ore3FLWxD+EZaDjYp1aFTImb9wsQFuQGNyfzjUab+KAQABDka7ip7JPjq8AwMqMj4Wrfe0P7XielFaKvyLShxbXfMe1EwH8k5kCl0tQ6t9Gdh1Xv19/bCUDVdaDtCwcAfTq3xr1HxZCUycGy7DPNNZaZV/Vb9yCrBME+hvdTIJEZHepdoVQjp7Ac/l4ik0d35BqnCVP1JOjy5cu4fPmywe1MSZhUKhV27dqF/fv3IzMzE15eXhgzZgxmzZoFgUBQ5+snTJiAa9euGVy3fPlyjP9/9s48Lqqq/+OfOxvDvoOsgiKIomyiuaSiPeHyaKahueRSj0u5VLaYZf1Mq6dVc8nM1CdxyyUz07Iyww0VBFwRUBaRfWQfYPb7+2OccYZZmMEZZoDzfr1QuPfcO9975tx7z/d8t+nTDZKD0DbuVzRg+7FbcLRj461ZsVZ3Q7QVJpOBN2cOwKeSNKRmleO/u9Lw7tyBWutjEAgE8yESiZCcnIzffvsNZ86cgUAgAJvNxogRIzBx4kSMGDFCp4tcSyQSCbKyskDTNCIjIzX2CwRyRUFhSWpJUFAQAKC4uFhjX2VlJYRCIYKDgw28sscjq6BK7e/iSr5JFKaqOuNc0x4XRXxUfaMIvp7a2zQ2i2Fvq38+UKHHElXC4+tcBde+uWOumJuCnHs1kEhlysm4KSkorYdILEXOvRo8oSV1+uPSmpqjUMB1KSPnrpYAAIZF+rZ5LlNYWoew7sbXylIgkRhvEWo5tqvqBBAI5Z4xrS0kGPU5Ou4LfdkJbxdWo7ZBCJns8RQ3c2BWhSkpKcnk51yzZg0OHDiA2NhYjBo1ChkZGdi4cSNycnKwcePGVo/PyclBcHAwxo8fr7EvIiLC5PISHiGWSPHFnisQiaV4c2YM3M1QEM6SsFkMvDNnAD7amYortyvwxZ4rePuFAWB1EqWQQLB23njjDSQnJ6OpSZ6JKjY2FhMnTsSYMWN0Jl7Qh0wmw4wZM2BnZ4eLFy+qpQanaRqZmZlgsVgIDw/Xeryvry98fX2Rnp4OmUwGhkpBn9TUVABAdHS00XK1hZp6w2KlxBIZJFIZbB8m4aFp2uByIPpcbSQSGSjAIMu7TEajhMeHkz1Hs2QDpfgs3cdn36tGbG9vAyTWhKZpNXc7XQiEbZ9Y3iurh0AkMXqi3JrrlTE0CcTIzOEhPNjN6FqCBaV1an/nFdcZrTDduV+LOr5mYd0mgRjNQgkkUhoPWnH3MyXFlXz4eNjDjtv6wntL8krqEBrYNsuirmF8LZeHQB9Hk1rWDOIxdX9FSEJLy6PqXy2ttjRNQ0bLvXWaHypuphzrpsKsClNbC/3pIiMjAwcOHEBCQgI2bNgAiqJA0zTeeecdHD16FP/88w/i4+N1Hl9cXAw+n4/nnnuuTRXbCY9H0m+3UVBaj4QnumNwP19Li2MW2CwmVs6Nw9odl3HxRhm+2HMFb80iShOB0B6cOHECPXv2xMSJEzFhwgT4+j7ec4bD4SA+Ph5//vkntm3bhpdfflm5b+fOncjNzcWkSZP0KmMTJ07E1q1bsWfPHsyePRuA3BVv69at4HK5eOaZZx5LRkPQFlcpEktRXtUIbzc7NYUo5XopAPmqemV1E24XVqN/iAdcH7NA95XbFcrztsbtwmrlZFlX+8qaJo3JtoK2rLoDwPlrJVrLQ2hTF2W0PJaqLRPawrJ6ADBaYWpL9rSqOgEe1DajT4u+Kq7kQyKVIedeNQb29YFUKjPYjbyo3DSZHbV9h9qSYqgqxzIZjfpGEZzsOUa7woklMtyv0C17QWk9+vbQdJFtbdGgvlFk1MKCIdTyhai9I9QY/+YKuzKV7PWN8nhNoZ76YPcrGlBV1wxnBxuEBroiM5eHhkYRhkf7qbVrEojbpMCai3bJ4yyRSHDhwgVkZ2ejrq4Ob7/9NnJycmBvbw9/f8MLxe3duxcAsGTJEuWXS1EUli9fjl9++QWHDh3SqzAp0sO2pQAh4fHIyKnE0TN58PN0wH8mdm5LHpfDwvsvDsKaHZeRcr0Mn+8mliYCoT04cuQI+vTpY9JzrlixApmZmfj666+RmpqK3r174+bNm0hNTUVISIiaO/mmTZsAQG1Bbv78+Th58iQ+/vhjpKWlISAgAH/++Sfu37+P999/H25ubXfHMQSBUILLD+N/VBFLZMi5VwOKouCtI0tp0cPJZemDxsdWmFS5fpcHDouJnv7OqNGSglyfZcEQZUhkQBttC+lSKW1USvR6vkhDYaqobtLan7ompDRN42ouD97udvD10F+CpS2r7tmF1XJZG3VnVUu9VQaRWIbh0X4mnfSbg6KKBtwrq0eQjxO6+ziBpmmcu1oCmgbi+njrnGBX1wvU4nYAuYJkChqbxTh/tRRPtpjwG0qTQIyb+VUIa6OVCgAu3ihFdJgXuJz2L89S2yCEvS1bIwShjPfI7bWhRVa/JoEETQIJQgNd0fBwbMpktFI5Lq9qQnlVE3oFurR6X7QXZp/BXb58GU899RQWLVqE9evX43//+x8Aeb2MhIQE7Nixw+BzXblyBa6urggNDVXb7u3tjaCgIKSlpek9nihMlqGOL8TX+zPAYlJ4c1Zsh6q31Fa4Nix88NIg9A/xwMUbcqVJ3MZVTwKBYBimVpYAwN/fHz/99BOmTJmCO3fuYPfu3SgpKcGLL76IH3/8Ea6ujyY5mzdvxubNm9WOd3BwwN69ezFlyhRcuXIF+/btg5OTE9atW4dZs2aZXN6WNAn1Z+20RFbPmnohKqqbcDWXp1SAhGIpsgqqWi3s2ZKC0jpUtjjGnIkItGX/UrWAZBdW680Qpkopj4/GZjHqG0W4U6TpBvi4GctU0efCKBLLlG1UFUaFJay90BU/IxJLwW8Wg6ZpZbY3hZwiiUx5bbcfKofaaKksmRp9cTmtUVhWj2aBBLlFbU+tLxLLUFHdhGahRGfKcWPik2iaVksU03KfAn6TCNfu8HDtDg819erxjKp1rm4X6P5uFFTUNGksClS3c4ykPsw6c719+zYWLFgALpeLhQsXIj8/H3/99RcAICoqCh4eHvjyyy8RHByMUaNG6T2XSCRCeXm51sBbAPDz80NBQQGqq6t1rtjl5OSAoiikp6dj1apVKCgogJOTExISErBs2TI4Opo+aLGrQ9M0Nh64ipoGIeaO74MQfxdLi9RucG1YeP+lQUr3vM+S0rBidhxJBEEgdDC8vb3xySeftNpOsSjXEg8PD4OOtwh65nn6MsTV8YWPnbSnSaUOjlRKg1fTDF6NurIhkcpwXWWy2zLTm8I9rKUFRdVFSiSWoqpOgG7uj9wP22pHMWRerM0dSZvV7M79WsT29tJ6jlIeH3fu1yKip7tJ4n0NMRzJaFqthhYgt5i5OdmAzZK76xmSElomoyEQSWDHZRsVEqNPQUy/XYEgXydIpfrj5B6HB7XNWq+PpuVp4Y31EskvqYOrow1cnbhtTqUtk9GorhegUSBG926tx2Eqskm6ONhAIpOpxfJdulGGgX27acxB6vkiZeyQgvTsSjQ2i/FklJ+a62NxZQPyiuvg4WKLvj3c0Sx8lE3y+mMqpdoWDawJs87cNm7cCBsbGxw5cgSvvfaammVo5MiROHToEJydnZVWJ30oKqbrUmoU2/VVTc/JyZFP4DduRJ8+fZCYmAg3NzckJSVhxowZOlO/EtrOyYuFSM0qR/8QDzw7MsTS4rQ7XI5caeof4oHLt8rxWVIasTQRCASrR5+VpLZBiKu5PKTfNn8R1srqJqXLDqDbelTSojiu6t8386uQW1SjtF4JhBKTuGPpXIHXsk1XIokcHVaF4kq5/C0VSAXNQk1ltkkgRmFZvVEF1BXWJUC7UpddWI0bd6sefqYEZzNLtJ5HKqNRUd0EqYzG7cJqpGVVyGsdGUFrOoVqX9TyhWgSiHFbJfujrsONUVayCzW/j3NXS3DhWqnO77slUhmNZqEE9ysaWlciWhHt3NUS3MqvQmFpvbzGmIriq0+eWr4Q/CbNcaBtEaSyRtOqq2jX0nKWVyxP+NGeCTmsBbMqTOnp6RgzZgz8/LT7dXp5eWHs2LG4c+dOq+cypGI6AJ1V02UyGZycnBAeHo4TJ07g448/xnvvvYcjR45g2rRpyM3NVfqfE0yDagrx5TNi2lyroKOjUJoiexGliUAgWB8FpXU4k1GslnpcUaumJc1CiYYVwhi0Tc70cUdPxjpdxXABgN8kBq+mGecyS5QKl8Lyoy2mqy0olBpt0DRtkAuUtkmtsZ9dx5enYU7LqsC9snqtiRMMIeeeduWtoUkEXk2zRhFfVQpL65BdWI3zV0uUk+mWcSu6kEhlbaoRJVfKHn2GUCRVpsdWRd/31BJ947O1cSN9mN3x/NUSDfc0XfANqPOloOX3c+Faqdrf2mZY+u4RbbS8/pt5D1DHF0IoluJeueldNFtTQh/H1dHUmFVhEgqFrVYxZzKZOpUcVbhceWClWKx9cCkqqdvaajddMxgMHDx4EEePHoW3t7fa9hUrVsDW1hYnTpxoVQ6CYYjEUny+W55CfOnUqE6XQtxYuBwWVr04CFG9PHH5Vjk+3ZVm9IOMQCAQjKW12A2BSKJ0a9NlzVDlcdP9GhLLYCj6YmykMhrZ96rVJlw02ii/nrU+qUxTMbp7vxaXb5Xj0o0yZeyNMciD3/Ufo7rodjWXhxt5xrlDlT3QXYdKG1kFVXpd3hq1WLVaJpDQpowIxVJcuFaKlGulELXyTjSkiLA2pcbQmLLWUL3+mgZNhej81RKlJbHUyP41lEIjLaMp18s0tukbWjSt/hyo44twNZeHrIdWLlOjqHWlC0PLIbQHZlWYevbsiQsXLkAm036TicVinD9/3qDCfQ4ODmAwGDrd5hSueG2JQ7K3t0dQUBB4PJ5ByhuhdX44kYXCsnqMGRzUaVOIGwuXw8Kql+RKk6K4LVGaCATzoqjJRNBOeZVx/dPaZEtB6q1ys9dSKeXpnpQKRVIN970mfLCqnAAAIABJREFUgdigSbcxpN4qQ4aWdN8Ka1ZReT0keuJuVBFLZOA3i3HuagkELeKgWlOgWsvuJ5XRuJWv3WpoChqbW08eok1ZLnxY00lG0ygqM0268pbomIK2iWahBDIZjet39Cuoho4zoUiqVFBUY/ragiHH38qvUpYO0IU2V0ptyWO0KY3G0vyY19yemFVhSkxMxJ07d/DOO++gpkbdlFhVVYU333wT9+7dw+TJk1s9F4fDga+vr9aK6YC8xpKbmxtcXLQnFaivr0dGRgYKCgq07hcIBGAwGGCxOn8GN3OTmlWOX8/lI8DbES9N7GtpcawKGzZTrjSFeiItqwKf/ECUJgLBlNA0jf379yMxMRH9+vXDgAEDAAB79uzBypUr8eCBebNldXb0KUGqNW6ahZJ2z7KmhharEK+muU2B6fpculRjgLTBq2k22IUx5Xqp1riwqrpmnbFDhmIO64AqOsdFK4qeqsJea2TMk6EY6hpoCKm3yk3qmmZoXJQh1JvoOlvGAwLaE2pcv/NAzY23LRjiitnWhBmmxqwK0/Tp0zFx4kQcO3YMQ4YMwfbt2wEAo0aNwpNPPok//vgDo0ePxsyZMw06X2xsLHg8nobSU1FRgcLCQp0Z9ADg1q1bmD59Oj777DONfZWVlSguLkZ4eLhaJXeC8VTXC7Dhx0ywWQy8NSvWIjUBrB0bNhOrXhyEmDAvXLktV5qssao1gdDRkEgkWLhwIdasWYPs7GzY29srX7bFxcX4+eefMWPGDFRXm84trCugsF7IHgb0G3ycmSbAhmDKiejjpjZ+HKtWLV+oM57MGEypNBgKTdMWHQPmwtjCveevlRiV0rutdCRrjQJDxqU2Bc4SmD2/8eeff47169djyJAhsLW1BZPJBJ/PR2xsLD755BNs3rzZ4EJpkyZNAgCsX79e6eZH0zTWrVsHAJg2bZrOY2NjY+Hp6YmzZ8+q1WsSiURYu3YtxGKxwYobQTsyGY31+zJQ3yjCvH/3RbCvs6VFslps2Ey8N2+gUmn6+IfUdnmgEgidmZ07d+Ls2bOYO3cuUlNT1Z7pb775JpYuXYqioiJ89913FpSy4yGRypB6qxznrhpn5bDkBK4jTh61oS1FeUchr7jOJMpeR0cqpXH5pmkSjXRFrCWOqV2W/8eOHYuxY8c+9nmGDBmCcePG4bfffsO0adMwaNAgZGZm4sqVK0hISMDIkSOVbVtWXOdwOFi7di2WLFmCefPmYcyYMXBxcUFKSgry8vIwfvx4g1wDCbr5Ofkurt7hIa6PN/49rPW4tK4O56HS9MkPqUjPrsSa7Zew6sVBsO0ChX0JBHNw9OhRxMTEYMWKFQDUg85ZLBYWL16MtLQ0JCcnY+XKlZYSs0PSsk4LgUAgtAfmLERtDB2ugubnn3+OZcuWoaamBrt27cKDBw+wbNkyfPnll2ovR20V1+Pj47F3714MGTIEycnJOHDgAFgsFt5//32N4wnGkVtUg92/34abkw1enRZN+tJAFErTExHdcP3uA/zftosmD0omELoK9+/fV8Ys6SIiIgLl5WS1l0AgEDoC1uLWadal7GeffdagdhRF4ciRIwa1ZbPZWLx4MRYvXqy3na6K61FRUdi2bZtBn0UwjCaBGF/uTYeMpvH69Bg4O9hYWqQOBZvFxIrZcVi/LwNnr5Zg1dYL+HDBEDjZa685RiAQtOPk5ISSEv1uY0VFRW3KpkogEAiErotZFabbt2+32sbX1xdOTk7mFINgRmiaxjeHrqHsQSOmxIcgKtTL0iJ1SFhMBpbPjIUNh4m/Uovw3rcXsGbhYLg6ci0tGoHQYRg8eDD+/PNP3L59G+Hh4Rr7r169itOnT2PMmDEWkI5AIBAIHRWzKkzZ2dlatwsEAhQVFeHbb7/F9evXSQBuB+bEhQKcvVqC8CA3zBqrOUEhGA6TQWFJYhRs2Ewcv1CAld9cwMcvD+nyRX8JBENZtmwZkpOTMX36dDz33HO4d+8eAODnn3/GjRs3cPjwYXA4HLz88ssWlpRAIBAIHQmLxDBxuVyEhoZi3bp1cHR0xBdffGEJMQiPSfa9auw4dhPODhysmD0ALGaHC4mzOhgMCgue7YfJI0NQwuNjxebzKLWSlJoEgrUTGBiIXbt2ISAgAHv27MG5c+dA0zTeffdd7Nu3D15eXvj+++/Rs2dPS4vaLlTXP35hSQKBQCC0U5Y8XVAUhaFDh+Lw4cOWFIPQBur4Qny2Kw0yGY23Zg4gVhATQlEU5v67D7g2LOz7Ixtvbz6H//vPE+gV4Gpp0QgEq6dv37749ddfce3aNdy8eRMNDQ2ws7NDWFgY4uLiwGB0nYUdS9TeIRAIhM6IxfMX379/HyIReah3JKQyGl/uTceDOgFmje2NyFBPS4vU6aAoCtOfDoOLAwdbj1zHu1suYOVced0mAoHQOpGRkXqLmRMIBAKBYCgWiWGiaRpNTU1ITk7GqVOnMHjwYHOKQTAxP/6Zg6u5PAwI90biqFBLi9OpGTskGM4ONvhybzrWbL+E16bHYGSMv6XFIhCsgr///rvNx44ePdqEkhAIBAKhM2NWhWnSpEl66/HQNA1bW1ssX77cnGIQTEjK9VL8+FcOvNzssHxGDBgMUm/J3Azp74sP7Tn4eOdlfLU3HQ9qmzElPoTUuiJ0eRYvXmz0fUDTNCiKMiiLK4FAIBAIgAUVJjabjR49emDChAlwd3c3pxgEE5FXXIt1+zPA5TCxat5AONqROkHtRb+eHvh0yZNY/f1F7DqRhfsVDViSGAk2i2lp0QgEi9EWhYlAIBAIBGMxq8L06aefmvP0hHakpl6Aj3ZehlAkxbtzByLY19nSInU5gnyc8NWrw/Hx/1Jx+sp9lD1oxLtzB8LFkRQKJnRNli5damkRrBqxWGZpEQgEAqFTYPGkDwTrRySW4uP/peJBnQCzx4VjcD8fS4vUZXF3tsV/Fw/Dhh8zce5qCd7YcAbvv/QEgnxI8WcCQZXMzExkZ2ejoaEBrq6uiIyMRGho14q5FIqllhaBQCAQOgVmVZhmz57dpuMoisKuXbtMLA2hLdA0jY0HriKnqAbxsf54blQvS4vU5bFhM/HWrFgEdnPE3pPZeHvTWSxNjMaT0X6WFo1AsDgpKSlYvXo17t+/D0D+DAPk75WIiAisXbsWvXv3tqSI7YZURixMBAKBYArMqjAVFxejubkZNTU1AOQFa52cnFBbW6tMJU5RlPKFpoD4pFsPP/6VizOZxejd3RVLEqPId2MlUBSF5/8VhgAvR2w4kIHP91zBzfwH+M8zESSuidBlycjIwMKFC0HTNCZMmID+/fvDw8MDDQ0NyMjIwPHjxzFnzhzs378fPXr0sLS4ZocCeV4TCASCKTCrwrR3717Mnj0b3bt3x4oVKxAV9WjCnZOTgy+//BLXr1/H9u3bERQUZE5RCG3gj0uF2PdHNrxcbfHuvIHgsMlE3NoYGumL7j6O+CzpCn5LKURuUQ1WzI5DN3d7S4tGILQ7mzZtAovFwq5du9C/f3+1fYmJiUhMTMTcuXOxceNGfP311xaSkkAgEAgdDbOWPP/444/BZDKRlJSE6OhoNetEWFgYtmzZAm9vb2zevBmOjo5qPwTLcvlmGbYcvgZHOw4+XDAYro5cS4tE0IG/lyO+WPYknooLxN3iOry2Lhkp10stLRaB0O7cuHEDY8aM0VCWFMTExCAhIQGXLl1qZ8ksAw269UYEAoFAaBWzKkwpKSkYPXo0OBzt6afZbDYGDx6M1NRUc4pBMJKsgip8vvsK2Gwm/u8/g+DvRRRYa4fLYeHV56Px6rQoiKU0/rsrDRt+zESTQGxp0QiEdoPNZsPeXr911cHBQcMNnEAgEAgEfZhVYeJyuSgsLNTbJjc3t9UXHKH9uHO/Bh9uvwSJjMY7s+MQ1t3N0iIRjOCpgd3x9esj0NPfGafSirD0q2Tcyq+ytFgEQrswfvx4/PrrryguLta6n8fj4a+//kJCQkI7S2YZiF5IIBAIpsGsMUzDhg3Dr7/+iiNHjmDy5Mlq+6RSKbZv345Lly5h5syZ5hSDYCAFpXX44LuLEAgleHPmAAwI97a0SIQ2EODtiC+WDsePf+Xg8N+5WLnlPKbE98KMhDCSEILQqZk6dSoyMjLw7LPP4oUXXkBcXBy8vLwgFApx48YN7NixAyKRCDExMfj777/Vjh09erTO8/J4PGzatAlnzpxBVVUVnJ2dMXjwYLz66qsICAhoVa4ZM2YgPT1d677Vq1dj+vTpxl0ogUAgENoVsypMr7/+OlJSUvDee+9h586d6NevH+zs7MDj8XDz5k2UlpaiV69eeO2118wpBsEAisrr8f53KWgUiPHa8yRFdUeHzWLghbHhGNDbG+v2p+Pw6Tu4fKsMSxOjER5MrIaEzsnEiROVmVe3bNmikdVT4Yq3cuVKtW0UReH27dtaz8nj8ZCYmIiysjIMHToU48aNQ0FBAY4fP45z587hwIEDrSYtysnJQXBwMMaPH6+xLyIiwsirJBAIBEJ7Y1aFycfHB4cOHcIXX3yB06dP4+7du8p99vb2eOGFF/Dqq6/CwcHBnGIQWqGgtA7vf5eCOr4Ii5+LxKgBgZYWiWAiwoPdsGH5SOz+7TZOpBRgxTfnMH5IMF4YFw47LtvS4hEIJmXx4sUmL32wadMmlJWV4Z133sG8efOU23/55Re8/fbb+PTTT7F161adxxcXF4PP5+O5557D0qVLTSpbazjacVDbIGzXzyQQCARTwuVYh2eMWRUmQK40rVu3DkKhEEVFRWhoaICzszOCgoLAZFpHJ3Rlcotq8H/bLqJRIMYrz0VizOAgS4tEMDF2XDYWTu6P4dH+2HQoE8cvFODSrXK8PKU/BvbpZmnxCASTYQ6F5NSpU3Bzc8OcOXPUtj/zzDPYvHkzzp8/D5lMBgZDe0hwTk4OAHlm2PaGySB1mAgEQscmJMDF0iIAaAeFSYGNjQ2cnZ0BAD179oREImmvjybo4GbeA6zZcRlCkQSvPR+DUQNa98UndFwU1qaDp+7g8OlcrN1xGQP7dMP8SRGkbhOBoAWpVIqFCxeCxWJpVYg4HA7EYjEkEonObLCWVJhIzgcCgdDRMbXXQFsxu8IkEAiwefNm/Pzzz6iurgZFUcjKysLOnTtx/vx5rF69uktUXLc2zl8rwbp9GaBpGm/PjsPQ/r6WFonQDrBZTMwc0xvDonzx3ZEbSM0qR2ZuJabE98Jzo3vBhhQnJnRwTp8+jePHj6OkpAQikUhrG4qicOTIkVbPxWQyNSxLCvLy8pCfn4/AwECdyhIgV5goikJ6ejpWrVqFgoICODk5ISEhAcuWLTNr3UFiYSIQCATTYFaFqbGxES+88AKysrLg4+ODgIAA3L9/H4BckUpNTcXMmTNx6NAh+Pv7m1MUwkNomsbPyXn43/FbsLVh4Z05cYgJ87K0WIR2pns3J3z88hCcu1qCHcdu4ce/cnA6/T7mju+DYZG+VrOiQyAYw969e/HRRx+1Wmfpcce3TCbD2rVrIZPJMHXqVL1tc3JyQNM0Nm7ciISEBAwYMABpaWlISkrCpUuXsH//frPF8TKZ5D4mEAgdmy4Rw/Ttt98iKysLq1atwsyZM7F582Zs2bIFALBs2TIEBgbi3XffxZYtW/DJJ5+YUxQCAIlUhu+P3sBvKYVwc+Ji9fwnEOzrbGmxCBaCoigMj/bHgHBvHDyVi6Nn8vD57is4kuyCueP7ILKXp6VFJBCMIikpCa6urtiwYQMiIyP1Wn7aCk3T+OCDD3Dx4kVERETotEABcsXKyckJ4eHh+O677+Dt7a3cvnr1ahw4cACbNm1Sy9pnWmHNc1pz4O/lgOJKvqXFIBAIVoa1JKgya+Ha33//HU8++SRmzZoFiqI0VvUmTZqEkSNH4vLly+YUgwCgpkGAVVtT8FtKIbp3c8SXy4YTZYkAQP4wmvvvvtiyYhSGR/nh7v1arNqagv/bdhF5xbWWFo9AMJiKigpMnDgRcXFxZlGWJBIJ3n33XRw6dAgBAQHYsmWL3s9hMBg4ePAgjh49qlSWFNtXrFgBW1tbnDhxwuRyKnBz5prsXOYOvLa3bb9JEaMTuSr6eFhv/Kmfp37Lqbll7xX4aMyyWWad7nYoSGmRtmHWEVRZWYnw8HC9bYKDg8Hj8cwpRpcn5141Xl9/BrfyqzC0vy++WDYcnq62lhaLYGX4ejjgrRcGYP1rIxDZywMZOZV4bf0ZrNlxCbcLqi0tHoHQKj169EB1tXnGanNzM1555RUcOXIEQUFBSEpKUlOCjMXe3h5BQUHg8XgQCs2T+pvLMdyJxI6ru+0T/XxanfxqI8jXCaGBrkYfZylac2HUp9RxTBT/aWNB9yOGiV2xe/ipL8qqKqosJgOhga4I8nUy6Wcq4LCZ8PV4NGYjenqgV6CL3nFuTrxc7ZS/m7qfVeGwtU/rHe0eLex4udphSIu4ddWx7eFii6hQTwyP9oOfV9vchW1N0M+OdhyNMWRJzKowubm5IS8vT2+bO3fuwM2NaLvmQCqjcejvXKzYfB419QLMHd8HK2YPgK2NZR4YhI5BSIALPlo0FGsWDEZ4kBvSsirw9uZzWLnlPDKyK1uNDyEQLMXixYvx+++/4+zZsyY9b11dHebMmYMzZ86gT58+2LdvH3x9W0+UU19fj4yMDBQUFGjdLxAIwGAwwGJZ/pkc4u8Cb3c7rfvamgymezcn+HjYG2RJaM0C0Nokk8ViwN6WjW7u8slg7yDd8woWU/tnDe3vixEx/hgW5Yf+IR4a+weEe+OJfj7oE+yuoUB6u2nvO1UMmfw9EeGjMZnVx+NYThzt1a2jtAl9OClK/qOK6nVFhspdvrt3M43CpGuCHtvbC2HdXeFkz4GvhwMie3m2WQlQxZjvCIDy3grr7oqwIM1FBA6bqXV8DIroZpQlrn+Ipiu9p6stQgPVLcQtvxtVRbJvD3c4O9iAoiiE+Gtalg2xBuv7Xm25LJ2KnSp9gt0Q4G2+pDjGYtandHx8PA4ePIizZ89i+PDhGvv/+OMPnD17ttWgWYLx8GqasW5/Om7mVcHNyQbLp8cqH1AEgiFEh3khOswLt/KrcPDvXGRkV+Jm3kUEdnPE2MFBiI8NaFc3GgKhNUaPHo1Zs2Zh4cKFCA4Ohr+/v1aXOYqisGnTJoPOKRQKsXDhQly7dg0DBw7Et99+a3CShlu3bmHu3LmIj4/XKG5bWVmJ4uJihIeHW0dNQgro3d0NFVVNBjXv4eeM/JI6nfsHRTyq8RYaKJ+w8pvEsOOyUFhWD7FEptwf7OsEd2f9Xg+O9myEBLii7AEfYokMHDYTJSoxTy0zvXq72YHLYeJqrqYHi6ujDSqqNa9TETbAZFBwdXrkzmhvy1YuNNqwmfB0tYWnqy1KePLPHxDuDX6zWKvcET3dcTOvCgAQ4O0Id2cu0rIq9F4rmyW3vjAZFG4X6raYDoropnEdPf2dkVes+3sZFuWH81dLAADBPk5wdeKihMeHTEbDhs3U+3ktGRHjj6u5lajjq2ej7BXgAh8Pe7UwjPBgNzAZFBgMCjIZDQeVd0d4kBs4bCau3WmbtxGLxUBLdVrx0Q52HDioWFc4bCa6udurjZ22oE1RteWy0CzQXjLHzYmLJ6P8wGBQoGkafG9HeLvZobpeAH6TGL2DXEFRFIor+RCJpcrjuBwWArs5ouxBo9r5dN1/2iydAd6OelXhqFBPiMQy8GqaDXqnDwj3xpmMYgBypduGzcSD2uZWjwPkVmeFMlX2oBGFZXUQiWVa21rb0qxZFaYlS5bgn3/+waJFizB8+HDU1srjITZt2oSbN2/i7NmzcHd3x+LFi80pRpdCKqNxMqUASb/fRpNAgiciumHp1Gg42Zven5/QNejbwx0f9hiMvOJaHPnnLlJulOK7n2/ghxNZGB7lhzGDg9ArwIVk1iNYnGPHjuGHH34ATdPIz89Hfn6+1nbGjNV169YhMzMT0dHR+P7778HlGh4XFBsbC09PT5w9exZpaWmIi4sDAIhEIqxduxZisRgzZ840+HyPg4+HPVwducgqkE/eHezYEEtkcLBlo6pOoBFYbW/LRmMLJeCJfj5IyyqHVErDw8UW/l4OkEjl0xqRWAp+sxjZDyfcLd0Bu7nbA+4P/6CAO0Xy+cCAcG+DJmkcNhMOtmz0CpCvzktlNOy5bNy9X6vTMqb63ms5wfRytUNlTRNcHG1AUUDfHpoWJQUDwvW7XtrbssHlMGHHZaFJx4RZgaEB7AqrglgqQ35xHWQPLftRoZ5KJZBBUWC3sJb5ezmCxWQg514NuBwmBCKp2n7VVPMujjYA1GON6htFSkVQGzYcJoQq54wK9YJEKkN+SZ1yUs9hM5X32JD+PuA3iZUK6JB+PsprUeClxTrHYjEwtL8vGppEyMiu1CkPAET18jRK0TMGHw97cNhM+Hs5gKIopbKpiquTDcKD3NEslCAzR7esCpdEiqKU1qSWY7+7j6Py3tBHgLej2niOCvVEs1CipsgFPFTK7G3ZaGhSV2pVn4HODjagaRqhga5Gxz26O3EhEKmPeRaTATcnG4223X2c1CxPCutzRk4lGhq1l4CwJsyqMHl4eGD//v1YvXo1zpw5o3Tl+eabbwAAcXFxWLNmzWP5gRMekV9Sh28OX0VuUS3sbdlYkhiFpwcFkokswST09HfBWy8MQE2DAKdSi3Dy0j38lVqEv1KL4Odpjyej/DE82s+qTOiErsW3334LLpeLlStXIiYmBra2jxeryePxsHfvXgDy+Kjvv/9ea7sFCxbAxsZGabVaunQpAHlh27Vr12LJkiWYN28exowZAxcXF6SkpCAvLw/jx4/H5MmTH0tGQ+nmbi9XIB56B8b29la+kyVSGdgs9ZXpHn7OuHH3gdo2GzYTg/r6oFkoUVpc2Czq4f9yl7hsAyaulIo9QJey1CvQBe7Otrh2h6d11Z7JoFp196MoClGhnuA3i+Hn6YD6RhEe1DbD1YkLbzc79Ap00emeZyxMJgNxfbqhoLQOjnYc3MqXK6YyLYvng/v5oKFJhPpGESqrm+DuYqvT4uHn6QAHW7ZSSWqpcHVzt4dAJMX9iga1bYpi5ApLgCouDjbg2jC1zg1ac5Xq4eusoZywmAw42XOUCpO7yqSbzWLC1enR2GIyGTDGnupox0FUqCfsuGzkl9Si/KEFdEC4N9KzK9A7yM1kng7aMjUG+zqrKSGRvTyVf0eFeqK+UaR857FZHKUFra34ejjA0Y6DjOxKtX7UhqpFy9nBBs4OciWlu48TqusFel1AmQwKkb08lTFzFEXpvJdUlXRttLyHhkaqW3uHRfnprQnXu7srbtx9gJAAF7g5cXE2s0QpozVhVoWpubkZvr6+2LZtG3g8HrKyslBfXw87OzuEhYWR2ksmoryqEfv+yEZyRjFoGhgR7Y+XnukLV0fTZUgiEBS4OnKRODoUU+J7ITO3EqdSi5CaVYEf/8rBj3/lIMjHCUMjfTGgtzd6+Dl3qoxUBOumpKQEiYmJJnPzvnbtGsRiuZXlp59+0tluzpw5sLGxwebNmwE8UpgAuWv63r17sWXLFiQnJ0MoFCI4OBjvv/8+ZsyYYfYFrahQT1TXC7R6GSg+u6WypA82iwE2yzweC317uIPfLAaHzYCPu9yli8tholkgAccIGVVRnUj2CXZDs1CiVDpMpSyp0jL7LItJgUFRaomWOGwm3J1t4e5sq2zv6mijM75YIT8gn0T29HdGVZ0AbBZDaa1QVZhaQ597vp+nA8QSGYRiKXg16m5Wgd0c4elqi9uFmsd5u9lBKJbCy9XOJGM6ooe78nfF9Yd1d1MqTPa2bAyPbtsc0s6GpWFBHREjP5eqwhTb20vD9U5hlVPIpfrdAEB0qCfSH1rEOGymmnudoTjacZTue/oI9HZEzr0aje1BPk4I8lGPIVKMddWvRvVa9KEqR1h3zfirwG5Oyn7T9pxpTfGx47IxKMJH+XdcH280NktMlkjFVJhVYZo8eTIGDhyIDz/8EJ6enhgxYoQ5P67LUV7ViKNn8vDHpUJIpDSCfZ0w7999EU0K0RLaAQaDQmxvb8T29kazUILUW+U4d7UE6dkV2HsyG3tPZsPF0QYxYV4Y0Nsb/UI8DH5AEwhtwd/fX6ngmIKnnnoKOTk5BrfX1TYqKgrbtm0zlVhGoW1SZwg0TSMq1BNSI1fLWUwGJFLtMQmt4eFiCw8XdatgWHc3lFTyTWK5pijKqJouA/t2U4u1atuHAk9G+7XarLUYruHRfpDJaDAYFPy9HOHvpd4f/UI89E4wbThMg0qJMJkM9PR3QXW9QKkwBXZzRIC3o3LSHRLgomH1oyjKZAkc+vfy0Dlm+4V4QCDUtDg62mm6kOqCwaDU4nBajjkbDhMRPT3U4qwMxcGOg4F95ZZGP08HvZaZ1mRUwGQ8UtpUFT1PVztU1Qng69l6UghbGxb69nBv0zWpKjwKy6WjHQcNTSLYcJhgsxhwdbJBTb1psn3acdlWU3tJFbMqTMXFxYiPjzfpOSUSCfbs2YODBw+iuLgYnp6emDx5MhYsWAA2u/UOrq2txcaNG5GcnIyqqir07NkT//nPfzBu3DiTymkuaJrGrfwqHDuXj0s3y0DTQDd3O8waE27QigSBYA5sbVgYEeOPETH+4DeLcTW3ElduVyA9uxKnr9zH6Sv3AQB+nvbo28MDfXu4oXeQm3IVmUAwBXPnzsVnn32G6dOnt1rSgtA6bVG0BvfzaTVY29PVFmUPGhHYrXUlyEZH9rD2wNaGBds2rvEo4pnammGwJRRF6U177uak3aMkro83JFLa6DhmNycunB04qOOL4OJgo2aNa0uKeVOh6zpD/F3g4shFdZ0AlTWGJS5RKB+q5xwa6QsmQ7NuqDHY2rDQJ9hdI26orbBZDIQHu8Gey4YdlwVFCBiTQaGviiWuNVoqhoZix2UrE7e7MryFAAAgAElEQVQoiOjpjup6gTI7ZICXI2rqhWr3dGxvL6tL3PA4mFVh6t27N27evGnSc65ZswYHDhxAbGwsRo0ahYyMDGzcuBE5OTnYuHGj3mObmprw4osv4vbt2xgzZgx8fHzw559/4vXXX0d1dTVmzZplUllNBU3TKKpowNnMEiRnFKPyYVacEH9nPDMiBMMifc3iWkAgtAUHWzaGRfphWKR8RTS/pA7pORXIyq/G7cJq/Hn5Hv68fA+AfFIR7OuMnn7O6OHnjABvR/g+9NknEIzF1tYWgYGBSExMRGxsLLp37641jomiKLzzzjsWkNDy+HjYo45vnrpPgGFFYVlMBmJ6d25PiOgwLzX3P0vxOJ/fP0SeSKC9sqGGBLiguKIBTvbGa6lMJgPebnbK5AGGzIn6hXiAV9OEbipJQ0w5l1Ioy6boP9U6TpZYY2wZ36TINqjA1YmrdGtUoJqdsDNgVoVp+fLleOuttzB16lQ89dRT8Pf3h42N9hth9OjRrZ4vIyMDBw4cQEJCAjZs2ACKkqdnfOedd3D06FH8888/ei1aSUlJuHXrFj744ANlZqJXXnkFzz//PL788kuMHTsW7u6Ga+vmgqZpPKgVIKeoGldzecjIqVSaxm1tmIiP9cfTg7qjbw93sjpPsGoYDAohAS4ICZDXcpBKZSgoq0dWfhVyimqQX1KHrIIqZYC0AmcHec0MP08H+Hraw8vVDm7OXLg7c+HmxDWqICeh6/DWW28pf798+TIuX76stV1XVphaKyTLYTMgEstMZhnpzIQHu+nMfcxiMtSKhXZEGAyqXUtH+Hk6PLb1qruPIyRSmcHWy5aujaaEw2ZiUN9uYJN7qVNg1lnHvHnzAAAPHjzAjRs3tLahaRoUReH27dutnk+RrWjJkiVKRYGiKCxfvhy//PILDh06pFdh2rdvHzw8PPD8888rtzk4OGDRokV444038Ouvv2Lu3LmGXp7RSGU0ZDIZpFIaEqkMDU1iNDSJUMcXoryqCWVVjSjh8ZFfXIdalRVAB1s2hkb6Ykg/Hwzs241MFgkdFiaTgRB/F7VieAKhBIVl9cgvrUNJJR8lPD5KeY3IKarRmSrWnsuCm7Mt3J24cHPmwtGOA0d7tvx/Ow4c7dhwsOPAyY4DBzt5DRWyuND5SUpKsrQIHZ7Y3t5oaBJ1utVhc6C66k+wDtgspt6ixe0NV0ciD0LHw6zf5OLFi006Sbly5QpcXV0RGhqqtt3b2xtBQUFIS0vTeWxRUREqKiqQkJCgUSRw0KBBAIC0tDSzKUwZOZX4aOdlgwJIPV1tMaS/D0L8XdAvxAO9AlytLr0igWAquDYs9A5y03jJiSUyVFQ3opTXCF5tM6rrBaiqa0Z1nQBV9QJU1wkMzgzFZFCw47IexiSwwLV59LutDQt2D7dx2PIAVhaTATaTAovFBJtFyf9+uJ3JYIDBkK++Mih5IUbV3xX+7wwKWvcxqIf7lfugto/xmP7zXZmBAwdaWoQOjyKDG4FAIBAeYVKF6e+//0aPHj0QHBwMQD216uMiEolQXl6OyMhIrfv9/PxQUFCA6upquLlpri4UFRUBAAIDAzX2eXp6wsbGBoWFhXplkErl6SHLy8uNlB6QNjeipxcgk1JgMKmHEzg2HGzZcLBjw8NZXjncy80O9mo+x00oKzUsgJFA6Iz4OgO+zmwAbADq7hNCsRT1jSLwm0RoapaALxCjsVkMfrMYTc1i5d+NTWI0i4RoapCgpkoKgUjyWLUyzA1Fyf9hPPxhMvBIyaLkBSspxiPFi0lRoChVJe5h+4c/AEA/9B1SrRmp/PXhRtUeoVv8wmBQmDwyxKggYwWKZ6biGWopJBIJamtrcebMGUyZMsWishjK47x3CAQCoati6veOSRWmJUuWYPHixViyZIna9tLSUpSUlCirnLeF2lp55WNHR+3+portDQ0NWhUmxfFOTtrTXjo4OKChQf9qNY8nTw/ZXpXZCQQCwZpI3vt4x/N4PHTv3t00wmhBKpXiq6++wvHjx1FdXa33RdlRFCby3iEQCIS2Y6r3jkkVJprWvmJ75MgRfPPNNwbFKelCIpHn3edwtPtVK7YLhdqz/xhyfHNzs9Z9CiIiIrB37154enpquPURCAQCQTtSqRQ8Hg8RERFm/Zzt27dj586d4HA46N69O+7duwdXV1c4OjqitLQUAoEA7u7uWLhwoVnlMCXkvUMgEAjGY+r3ToeJRuNy5XnydRUlFInkqSS1pZAFoMzOp2in7Xg7O/0BnFwuFwMGDDBIXgKBQCA8wpyWJQW//vornJ2dcezYMXh7e2PevHlwd3fHl19+CaFQiI8++giHDx9GSEiI2WUxFeS9QyAQCG3DlO+dDlO8x8HBAQwGA3w+X+t+hTudLpc9Z2d54Ttdx/P5fDg4WK4YG4FAIBAej+LiYjz99NPw9vYGAPTr1w9XrlwBIF80+/DDDxEUFIQffvjBglISCAQCoaPRYRQmDocDX19fFBcXa91fXFwMNzc3uLi4aN0fFBSkbNeSyspKCIVCZbIKAoFAIHRMVGNYg4KCUFFRgfr6egAAg8HAsGHDcPfuXUuJRyAQCIQOSIdRmAAgNjYWPB4PBQUFatsrKipQWFioM4MeAPj6+sLX1xfp6emQydRTe6empgIAoqOjTS80gUAgENoFX19ftfeDIitqbm6uchuLxUJ1tfb6XgQCgUAgaKNDKUyTJk0CAKxfv16p9NA0jXXr1gEApk2bpvf4iRMnory8HHv27FFu4/P52Lp1K7hcLp555hkzSU4gEAgEczNixAicPn0aP/30E6RSKfr06QMul6ssel5fX49Tp04pXfYIBAKBQDAEkyd9SE1NxebNm9W2Xb58GQDwzTffaM2kR1EUFi9e3Oq5hwwZgnHjxuG3337DtGnTMGjQIGRmZuLKlStISEjAyJEjlW03bdoEQL0W1Pz583Hy5El8/PHHSEtLQ0BAAP7880/cv38f77//vtZ05AQCgUDoGCxYsAB//fUXVq1aBalUiqlTp2Lq1KnYtWsX0tLSIBQKwefzTVojkEAgEAidH4rWlQu8DfTu3bttQlCUwSnHxWIxtm3bhp9//hkVFRXw9fXFxIkTMX/+fLWU4WFhYQCAnJwcteMfPHiAdevW4Z9//kFzczN69OiBl156CePHj2+T7O0Fj8fDpk2bcObMGVRVVcHZ2RmDBw/Gq6++ioCAAEuLZ1FqamrwzTffIDk5GZWVlfD398ezzz6LefPmgcXqMIkgzc5nn32GnTt3IikpCYMGDbK0OBbn66+/xrfffqt137hx47B+/fp2lsi6OHbsGJKSknDnzh04OjoiJiYGr7/+utXHevL5fOzbtw/Dhw9H7969IRKJ8N///hcnTpwAh8PBxIkTsXz58k7/bJBIJNizZw8OHjyI4uJieHp6YvLkyViwYAHYbHbrJ+hAGPp+PHToEFatWqX1HJGRkTh48KDatuTkZHz77bfIzc0Fl8tFfHw83njjDbi7axZvzszMxIYNG3Dr1i1QFIUnnngCb731llW+n4159h09ehQ//PADCgsL4eTkhLFjx2LZsmWwt7fXOLYz9pdiLqkP1XdqVx1jFRUVGDduHJYuXYq5c+dq7LeGcXT37l2sW7cOmZmZEIlEiIqKwvLly9G3b1+DrtGkCtPPP//c5mOfffZZU4nR6eDxeEhMTERZWRmGDh2KsLAwFBQUIDk5Gc7Ozjhw4IAyqUVXg8/nIzExEfn5+YiPj0dwcDAyMjJw9epVxMfH49tvvwVFUZYW0+Jcv34dzz//PKRSKVGYHrJo0SJcuHABCxYs0NjXq1cvjBkzxgJSWQfr16/H1q1bERQUhFGjRqGiogInT56Eg4MDjhw5An9/f0uLSGiFDz74AAcOHEBsbCxiYmKQkZGB9PR0JCQkYOPGjZYWz2QY83786KOPsHv3bsyfP19ZakRBt27dkJiYqPz7+PHjeOONNxAQEICnn34aZWVlOHnyJPz9/fHTTz/ByclJ2TY1NRUvvvginJ2dMX78eDQ0NOD48eOws7PDTz/9ZHX3i6HPvu+++w7r1q1DWFgYhg8fjtzcXJw5cwbR0dFISkpSW6TurP2l8FZqSVVVFfbv3w93d3f88ssv8PT0BNA1x1hjYyPmzZuHa9euYeXKlRoKkzWMo7y8PDz//POQyWSYMGECKIrCsWPHIBaLsWfPHvTv37/1C6UJVs/7779Ph4aG0jt37lTbfvToUTo0NJReuHChhSSzPF999RUdGhpK79q1S2378uXL6dDQUPqff/6xjGBWhFAopMePH0+HhobSoaGh9KVLlywtklUQHx9PT5o0ydJiWB3Xrl2jw8LC6FmzZtHNzc3K7b///jsdGhpKv/POOxaUzngEAgFdWFhI8/l8S4vSbqSnp9OhoaH00qVLaZlMRtM0TctkMvrtt9+mQ0ND6dOnT1tYQtNhzPtx1qxZ9MCBA1s9J5/Pp+Pi4ujRo0fTDQ0Nyu2HDh2iQ0ND6U8//VS5TSqV0gkJCfSAAQPosrIy5faUlBQ6LCyMXrp06eNcnlkw5NlXXFxM9+nTh542bRotEomU27/++ms6NDSU3r17t3JbZ+8vbSxatIgOCwujz58/r7a9q42x4uJi+tlnn1XOL/73v/9p7LeGcTRv3jy6T58+dFZWlnJbTk4OHRkZSU+ePNmga+1QSR+6KqdOnYKbmxvmzJmjtv2ZZ55BYGAgzp8/r5H5r6tQUlICHx8fzJgxQ237uHHjAMjNtV2drVu3orCwEEOGDLG0KFYDn89HSUmJQe4WXQ1FgoQ1a9YoC4YDQEJCAqZNm6bMPGdNnD59GitXrkR2drZyG03T+Oqrr/DEE09gzJgxGDhwIF577TXU1NRYUNL2QfEdLlmyRGlhpygKy5cvB0VROHTokCXFMynGvB9zc3MRGhra6jlPnDiBuro6zJ07V60+43PPPYfg4GAcOXIEUqkUAHDx4kUUFBTgueeeQ7du3ZRtBw8ejKFDh+LUqVNWNeYMffYdPHgQEokECxcuVHPhXLRoERwcHNTGUGfuL20cO3YMp0+fRmJiIoYOHaq2ryuNsR9++AETJkxAdnY2nnjiCa1trGEcFRYW4sKFCxg9ejTCw8OVbUNDQzFx4kTcvHnToLAgojBZOVKpFAsXLsSSJUvAYGh+XRwOB2KxGBKJxALSWZ6vvvoKycnJGvEI+fn5AAAPDw9LiGU1ZGdnY9u2bVi4cCFCQkIsLY7VoJhYE4VJk7NnzyI0NFQjVomiKKxZswYvv/yyhSTTzgcffIDFixfj6NGjuHfvnnL7+vXr8f3330MgEGDIkCEYPHgw/vzzT7zwwgsQiUQWlNj8XLlyBa6urhoTN29vbwQFBSEtLc1CkpkWY96P5eXlqK2tNeieV/SPNtflgQMHora2Fnfu3Gm17aBBgyCVSpGenm7UdZkTQ599iusaOHCg2nYbGxtERUUhOzsbDQ0Nam07Y3+1RCgUYv369XB0dMTy5cvV9nW1MZaUlAQ/Pz/s2bNHZ5ZpaxhHrbUFHpUX0gdRmKwcJpOJOXPmYObMmRr78vLykJ+fj8DAQDUf0K4KTdOoqqrC3r17sWnTJmVCkK6KVCrFe++9h+7du2PhwoWWFseqUCSDqa6uxrx58xAXF4e4uDgsW7ZMqWx3RaqqqlBdXY1evXohLy8PS5YswYABAxAbG4tly5bh/v37lhZRjdOnT+PgwYMIDw/H9u3blZlSKyoqsHPnTlAUhbVr12LHjh3Yvn07Nm3ahLt37yIpKcmygpsRkUiE8vJynZZAPz8/1NfXd4paVMa8HxX3vFgsxiuvvILBgwcjOjoaL730Eq5fv652rGKcawscV8RFKOp96Wvr5+cHQL7CbS0Y+uwrKiqCh4eH1qB8xXUZ0gcdvb9asm/fPpSWluI///kPXF1d1fZ1tTH24Ycf4ujRo4iJidHZxhrGkan6jyhMHRSZTIa1a9dCJpNh6tSplhbHKtiwYQOGDBmCNWvWwNHRETt27ICzs7OlxbIYO3bsQFZWFj766COiULdA8WLbuXMnHBwckJiYiP79++OPP/7A1KlTDc7a2dmorKwEIFc4EhMTUVJSgilTpiAmJgZ//PEHpk2bhpKSEgtL+YjDhw/DxcUFSUlJGDp0qDLI+uTJk5BIJAgMDMRzzz2nbD969GjExMTg5MmTlhLZ7NTW1gIAHB0dte5XbFes6nZGtL0fFff8jz/+CKFQiMmTJ2Po0KG4ePEiZsyYgXPnzimPr6mpAYfDUXNJVaBwFeLz+QAe9bdqMHrLttbU14Y++2pra1sdQ4o+6Mz9pYoiaZK9vb1GGADQ9cbYk08+CSaTqbeNNYwjfW2NeR527ryqnRSapvHBBx/g4sWLiIiI0PDd7qoEBARg/vz5KCwsxN9//42ZM2di+/btBqeM7EwUFBRg8+bNmDFjBqKjoy0tjtXBZDLh5+eH//73v2pm+mPHjuGtt97Cu++++1hZPzsqTU1NAOQuDJMmTcInn3yifCHu3r0bH330ET755BN88803lhRTyfXr1zFy5Eg1f3cASElJAUVRGDVqlMYxkZGROHz4cHuJ2O4o3LN1LZIotguFwnaTqT3R9X6UyWTw8/PDa6+9puZ5kJqairlz52LlypX4+++/YWNjA4lEYnD/icVite3a2lqTC6ihzz5j+qAz95cqp0+fRmlpKebNm6d18k3GmCbWMI5M1X/EwtTBkEgkePfdd3Ho0CEEBARgy5YtxHrwkClTpuDNN9/E5s2bsWXLFtTU1GDFihVaiyV3ZmiaxnvvvQd3d3cNH2uCnP/7v//D6dOnNXyaJ06ciLi4OGRlZXVJ1zxFHAiTycTKlSvVVg9nzpyJgIAAnDlzBs3NzZYSUY26ujp4e3urbZPJZErf9cGDB2scw2KxlC/QzohidVbXNSomBra2tu0mU3uh7/24aNEinD59WsNNe+DAgZgwYQJ4PJ4yjoHL5Rrcf/r62xr72tBnn7F90Fn7S5WjR48CgE6vHjLGNLGGcWSq/iMKUweiubkZr7zyCo4cOYKgoCAkJSVpTBYIcuLj4zF48GDcuXMHRUVFlhanXdm7dy/S09OxevVqrX7DBP306dMHAFBcXGxhSdofhXuCn58fXFxc1PYxGAyEhYVBLBajtLTUEuJp4OjoqJEd6vr16+Dz+WCxWIiLi9M4prCwUCP2oDPh4OAABoOhdF1picL1RJebTEflcd6PLe95JycnCIVCravOin5V9J/C0qDNpadlW2tHtR+cnJx0uim1HENdob+EQiFSUlIQGhqKHj16GH18Vx1j1jCO9LU15nlIFKYOQl1dHebMmYMzZ86gT58+2LdvH3x9fS0tlkWRSCRISUnBhQsXtO5X9I+1pyg1NX/88QcAYMGCBQgLC1P+KALdZ8+ejbCwsC6pEADycXP9+nVcu3ZN636BQAAAGkUHuwIBAQFgMpk6V/kU7l7WsprZr18/pKSkqJVVOH78OAC5damlnDweD+fPn0e/fv3aVc72hMPhwNfXV+f9XVxcDDc3Nw2FuCNjyPvx1q1bOrMDKtx8FPe8otCttj5UbFNkkTSmraUx5tkXFBSEqqoq5TZVSkpKwGAw0L17dwCdt79USU1NRVNTExISEnS2IWNME2sYR4r/H7f/iMLUARAKhVi4cCGuXbuGgQMHYvfu3XB3d7e0WFbBokWL8Oabbypz86uSnZ0NiqKsqmp4e/Dss89iyZIlGj+RkZFq+7X5YHcFZDIZZsyYgfnz52uMG5qmkZmZCRaLpVavoatgY2ODiIgIlJWVqaXoBuSTrezsbLi4uFiNZXvq1KkoLi7G8uXLkZaWhr179+LAgQOgKEojc1p1dTVee+01CASCTp89MzY2FjweT5lRSkFFRQUKCwuVz4LOgKHvx8WLF2P27NlaswMqXDgjIiIAyPsPgNbJ7+XLl+Ho6IiePXu22jY1NRUMBgP9+/dv49WZFmOefbGxsZDJZLhy5YpaO6FQiKtXryIkJEQZO9hZ+0sVhZKpkF8bZIxpYg3jqLW2ABAVFdXqtRCFqQOwbt06ZGZmIjo6Gt9//71GgHNXhcVi4V//+heqq6uxY8cOtX379u3DzZs3MXLkyC5Xi2ny5MlYunSpxo+qwrR06dIuqzBxOBzEx8ejrq4O27ZtU9u3c+dO5Obm4t///neX7R+Ff/5HH32kZmnauXMnysvLMWnSpFYzI7UXo0ePxsyZM3Hy5EnMnj1bKfP06dMxYsQIZbtFixYhPj4e6enpSEhIwFNPPWVBqc3PpEmTAMhrUSmsbzRNY926dQCAadOmWUw2U2Po+3HMmDGQyWRYv369Wlzr77//juTkZMTFxSnrVj311FOwt7fH9u3blRm2AHlWxsLCQiQmJirj/QYOHAhfX18cOHBAbQX74sWLuHDhAv71r3/Bzc3NHJduNMY8+/7973+DyWRi8+bNai5SW7duBZ/PVxtDnbW/VMnKygIAvUmkyBjTxBrGUUBAgDLT640bN5Rtc3NzcezYMURERBiUHIyiu1pEfAeDx+MhPj4eYrEYU6ZMgY+Pj9Z2CxYs6JIuRBUVFZg6dSrKy8sxbNgwhIaG4vbt27h48SL8/f2xb98+q1kNtzQff/wxkpKSkJSUpLWAW1eiuLgYzz//PHg8HoYMGYLevXvj5s2bSE1NRUhICPbs2dOp41z0QdM0lixZglOnTiEkJATDhw9HXl4ezpw5g6CgIBw+fNjq/OVTU1Pxzz//QCKRYOjQocp6TAqefvpp8Pl8zJw5E4sWLbIahc+cvP766/jtt9/Qv39/DBo0CJmZmbhy5QoSEhKwYcMGUBRlaREfG2Pej0KhEM8//zzy8vIQGRmJ2NhYFBQUIDk5GR4eHti/f79anZb9+/dj9erV8PHxwdixY1FRUYHff/8dgYGBOHDggJpLY3JyMl555RU4OjpiwoQJaGpqwq+//goHBwccPHhQa/0XS2HMs+/LL7/E999/j549eyI+Ph53795FcnIyYmJisGvXLrWEU521vxRMmDABRUVFOt0ZAaC+vr7LjrEjR45g5cqVWLlyJebOnau2zxrG0c2bNzFr1ixQFIUJEyaAyWTi2LFjkEgk2L17t0EWOqIwWTmnTp3C4sWLW22XlpbWZVfEeTweNm7ciH/++Qc1NTXw8vLCv/71L7z88stddtKrDaIwqVNRUYENGzbg7NmzqK2thZeXFxISEpQP4K6MRCLBnj17cOjQIRQVFcHFxQVPPfUUli1b1iHvKT6f3+Us82KxGNu2bcPPP/+MiooKZSHv+fPnd5rMqsa+H+vr67F582b89ddf4PF4cHFxwciRI7Fs2TJ4eXlpHPfbb79h+/btuHv3LpydnTFs2DC8/vrrWtumpKT8P3v3HV91dT9+/PW5OzcDCJsAYcmwiFYc1WoVUREUSrU4WIK1agVsi1ohNzfjjgSVr4OhdRfKEKh7WxW3VRR+KrJEZpiBkJ27P78/Msi4N4t7c5Pwfj4e1no/652bT+497885531YsmQJW7ZswWw2c9555zF37tyquRatSWM/+1RVZdWqVaxatYp9+/bRtWtXrrrqKmbPnh30M7K9vl8Al1xyCQCff/55vfudrvdYfQlTa7mPfvrpJx555BE2btyIXq/nrLPO4m9/+1uj57RKwiSEEEIIIYQQIcgcJiGEEEIIIYQIQRImIYQQQgghhAhBEiYhhBBCCCGECEESJiGEEEIIIYQIQRImIYQQQgghhAhBEiYhhBBCCCGECEESJiGEEEIIIYQIQRImIYQQQgghhAhBEiYhhBBCCCGECEESJiGEEEIIIYQIQRImIYQQQgghhAhBEiYhhBBCCCGECEESJiGEEEIIIYQIQRImIYQQQgghhAhBEiYhhBBCCCGECEESJiGEEEIIIYQIQRImIYQQQgghhAhBEiYhhBBCCCGECEEX7QCEEEKIlvDLL7+wdetWCgoKmDJlCgcPHqRDhw7ExsZGOzQhhBCtmKKqqhrtIIQQQohI2blzJykpKfz4448AKIrCli1bWLJkCf/617+w2WyMGzcuylEKIYRorWRInhBCiHZr//79TJkyhS1btnDdddfxm9/8hsrnhL179yYQCHDffffx7bffRjlSIYQQrZUkTEIIIdqtxx9/HJfLxZo1a3j44YcZOXJk1baJEyeydu1aTCYTTz/9dBSjFEII0ZpJwiSEEKLd+vLLLxk7diy/+tWvgm4fNGgQ11xzDVu2bGnhyIQQQrQVkjAJIYRot4qLi0lMTKx3n4SEBIqKilooIiGEEG2NJExCCCHarT59+vDdd9+F3K6qKt988w19+vRpwaiEEEK0JZIwCdEO+Hw+pk2bxs0330xBQUG0wxGi1ZgwYQLff/89jzzyCIFAoMY2j8dDdnY2W7dulSp5QjSRfO+I04mswyREO3D06FFKSkp4+eWXox2KEK3KbbfdxpdffsnTTz/NmjVrMBgMAEybNo2ff/6Z/Px8zj77bG6//fYoRypE2yLfO+J0os3IyMiIdhBCiFMzd+5ctm7dyoEDBxg1alS0wxGi1dBqtYwfPx6z2czu3bs5ePAgAAcPHiQxMZHp06fjcDgwGo1RjlSItkW+d8TpRBauFaIdyMnJYe7cuaxduzbaoQjRqpWWllJUVERsbCxxcXHRDkeINku+d8TpRIbkCSGEOG2YzWbMZnO0wxBCCNGGSMIkhBCi3Zo9e3aj9lMUhcWLF0c4GiGEEG2RJExCCCHarQ8++KDe7YqiYDKZ0Ov1LRSREEKItkbmMAkhhGi3Dhw4EPR1l8vF3r17ee6553C5XCxbtkzmNAkhhAgqognTvn376Nu3b6ROL4QQQpwSt9vN+PHj+e1vf0t6enq0wxFCCNEKRXTh2quvvppbbrmFF198URY1E0II0eoYjUZGjx7Nf//732iHIoQQopWKaML0hz/8gZ9//pmMjC3TkucAACAASURBVAwuueQS5syZwwcffIDX643kZYUQQohGO3HiBMXFxdEOQwghRCsV8TlMHo+HDz/8kNdff53PPvsMv99PQkIC48aNY8KECfz617+O5OXDyuVysXnzZrp27YpWq412OEII0Sb4/X5yc3MZPnw4JpOpRa8dKhEKBAKUlZWxfv16HA4HZ511FqtXr27R2BpDvneEEKLpwv2906JFHwoKCnj77bd555132LhxI36/nz59+jBhwgR+//vf06dPn5YKpVm+/fZbpkyZEu0whBCiTVq5ciXnnXdei15z6NChKIpS7z4ajYZnnnmGiy++uIWiajz53hFCiOYL1/dOVKrkeb1ePvjgAx5++GEOHjxYHoii8Jvf/IbZs2czcuTIlg6pUfbu3cvVV1/NypUr6dGjR7TDEUKINuHw4cNMmTKF999/n+Tk5Ba99rRp04K+rigKer2eAQMGcMMNNzB06NAWjaux5HtHCCGaLtzfOy22DlMgEOCzzz7jrbfe4sMPP6S0tBSdTsfVV1/N2LFj2bp1Ky+99BLTpk3DZrPxxz/+saVCa7TK4RA9evSgd+/eUY5GCCHalmgMKfv3v//d4tcMJ/neEUKI5gvX907EE6Zvv/2Wt956i/fee48TJ06gqirnnHMOv//977n22mtJSEgAYOzYsUyePJnx48ezePHiVpkwCRFufr+fh2xpdCw4jiYQILdbEqmpUtpYCCHam3R7NgbVRalixGlNiXY4QogmiGjCdMUVV3Do0CFUVaVXr17ceeedTJw4kX79+gXdv0ePHvTp06dqmJ4Q7ZnF7iD56D5+t+941WuBfcdZfO9s+lx4ORNvlIcGQjRVdnZ2s45TFIV58+aFORohTorxFqOoAUxGfbRDEUI0UUQTpvz8fCZOnMjEiRO58MILG3XMzJkzZZy2OC30Pp7Dr/YdJ7eDgZ8GDUMJ+Dh7x3bO3XmIr4xfgyRMQjTZsmXLmnWcJEwi8tRq/yuEaEsimjB9+eWXVaX8/H5/jXGEBw4cICkpqc4x48ePj2RIQrQKWZlpXLY7l+PxejYMPBNnmhUAuz2Li37YyPlbd2Fz2ElLtUY5UiHaluXLl0c7hKAee+wxnnzyyaDbxo0bx6OPPtrCEQkhhGisiCZMJpOJr776igULFnD99ddz6623AqCqKmPHjiU5OZns7GyGDx8eyTCEaFUs9iwu2boNvwLfDxmO05patc1qTSErI43LNv3EkF3beW3df/j9JOlpEqKxLrjggmiHENS2bdswGAzccccddbadccYZUYhItDwF6V8Som2KaML07bff8uc//xm9Xk9MTEzV6x6PhwkTJvDuu+8yefJkVqxYwYgRIyIZihCtRqeyEySU+fm+fw+s1ZKlSikZNlbccSv9jxTz8ZYf+D2SMAlxqtxuN/n5+QQCASpX01BVFZ/PR35+Pp988gn33HNPxK6/Y8cOBg0axJw5cyJ2DSGEEJER0YRp6dKlxMbGsm7dOvr27Vv1utFoxOFwcMcdd3DDDTewaNEinn322UiGIkSrYLE7uGT3XnxaONol9ELNe5LPoP+RTQzbtZMXV6zi5qmTWzBKIdqPsrIy5s2bx4cffojf769330glTMXFxRw4cKDV9n4JIYSonyaSJ9+6dSvjx4+vkSxV17dvX8aNG8fGjRsjGYYQrUYHdxEJpX629O1GRmroCeapllR29kyge76bX3b93IIRCtG+LFmyhPfee4+OHTty6aWXYjQaGTBgAJdccgm9evVCVVU6d+7M0qVLIxbDtm3bABgyZEjEriGEECJyItrD5Pf7cbvd9e6jKErV8Agh2rsBOTkEFDjaNXTvUqWcpH4MOvQDvQ7va4HIhGifPvjgA3r06MHbb7+N2WzmrrvuQq/Xs3jxYqA8oVq6dGmD31WnYvv27QDk5eUxc+ZMNm/eDMBFF13E3/72NwYMGBCxawshhDh1Ee1hGjp0KOvXrycvLy/o9vz8fNavXy9P3cRpwe500POEi71d40i3NLxo4cD+Z3AsQc/AQ/mk25u3towQp7tDhw5xxRVXYDabAfjVr37Fpk2bqrbPnj2bYcOGsXr16ojFUJkwPf/888TFxTFp0iRGjBjBe++9x4033sjWrVsjdm0hhBCnLqIJ06233sqxY8eYPn06b7/9NgcOHKCgoICDBw/y7rvvMmPGDI4ePcqMGTMiGYYQrUKXowcAyOnZcO8SwM1TJ7Ozd2+0AehYdCSSoQnRbul0OmJjY6v+u2/fvhw/fpzjx08uGH3hhReyZ8+eiMWg1WpJSkri+eefZ/HixfzjH//gueee4+GHH6aoqIiUlIYfoIj2Q4l2AEKIJovokLwrr7ySv//97yxevJh77723znZFUZgzZw7XXHNNJMMQIupSbA5GH8ylxKihzBDX6OPyYzvg08DAg4f55MP1XDZ6VASjFKL96du3b1UPD0D//v1RVZVt27bx29/+FgCv10tRUVHEYkhPTw/6+oQJE1i7di0bNmxg165dMjRPCCFaqYj2MAHceeedvPnmm9xzzz2MGTOGiy66iNGjR/OXv/yFN998k7vvvjvSIQgRdXEBNyaPys5eXcmsp9hDbfZUK3u6J9C5yMunX30RwQiFaJ+uuuoqPv/8cxYtWkR+fj5Dhw6lQ4cOPPPMM5SWlrJ//37effddevfuHZX4zjzzTABycnKicn3R8mTWthBtT0R7mCr169ePv/zlLy1xKSFape65hwDI69yjycce7J7EoEOFdMo7FO6whGj3Zs6cySeffMKTTz5JUlISN9xwAzNmzODxxx/nggsuwO/3o6pqxL6jfD4fW7ZsQVVVzj777DrbXS4XUL7chjg9yJA8IdqeFkmYysrKOHz4MB6PJ2RFvKFDh7ZEKEK0OIsti9GH8ykwaxnUf1CTjy/WxuLWKww6mMtzLyznTzOnRyBKIdons9nM6tWree+996p6cyor5b311lsYjUbGjx/PlClTInL9QCDA5MmTMZvNfPXVV2i12qptqqqyadMmdDodw4YNi8j1ReuhIsmSEG1VRBMml8uF1WrlnXfeaXDBQKkSJNqrOF8JRp/Klr5dmd2MBWidafN5dvafGbY/j0MH9oQ/QCHaMa/Xi16vZ9y4cVWvKYrC7bffzu233x7x6xsMBkaNGsX777/P008/XaMn6/nnn2fHjh1MnDiRhISEiMcihBCieSKaMD3++OO88cYbJCYm8utf/5r4+HgURZ6viNNLt+PlFe5OdGr6cLxKuZ27M2x/Hh3zjoYrLCFOC5dccgnXXHMN48eP57zzzotKDA888ACbNm3iscce45tvvmHo0KFs3ryZb775hkGDBjFvXuPnNQrR3r24YhU79u7G51ewpUkFSdE6RDRhevvtt0lOTuall14iLq7xlcGEaC8eWvJPfp1bQLFJyxkDBjb7PMUaA14t9D16LIzRCdH+JSYmsmbNGtauXUvPnj0ZP3481113HWeccUaLxdC7d29eeuklHn/8cT799FM2bNhAt27duO2227j77ruJj49vsViEaO227d1LjKsYgxLxumRCNFpEE6YTJ04wffp0SZbEactz4ihmd4Cf+nbmjmYMx6vkTE9j+Z0zGHi4CHuWE2uKJYxRCtF+vfPOO2zbto0333yTd999l6eeeoqnn36awYMHM2HCBK677jq6d+8e8Ti6d+9OVlZWxK8jRFunUQIAKGogypEIcVJE0/fk5GQOHZLKXuL01eFE+XC844ndTvlch7qWD+mLy5deJiGaYujQodx333188MEHrF27lmnTppGfn8/DDz/MqFGjmD59Ov/5z3+iHaaoZb49m5XLV0U7DNEINocDuz0zLOdSVelZEq1PRO/KW2+9lffff58ffvghkpcRotXqm3scnxaKFcMpn6vYHE9Agd65Mo9JiOYaMWIEKSkpfPLJJ7zwwgsMHjyYb775BqvVGu3QRDXpWdl09BSye+/OaIcSUZmObGxOZ7TDOGVGdwkGjyvaYQgRMREdkqfT6Rg8eDCTJ0/m/PPPp1+/fhgMdRuOiqI0etKrz+djxYoVrF27lpycHLp27cr111/PHXfcgV6vb/D4yZMn89133wXdlpGRwS233NKoOIRoSEbWAq4q9LK7exzOjLRTPp89xcKa26aSdLyMjKxsMlLmhyFKIU4vZWVlrF+/nnfeeYcvvviC0tJSEhISuOaaa6IdmqhGS/lwLL2nLMqRRJbJXQiAxZ6F0yoFDoRorSKaMFVPgr766iu++uqroPs1JWGy2WysWbOGkSNHcsUVV7Bx40YWLVrE9u3bWbRoUYPHb9++nf79+3PttdfW2TZ8+PBGxSBEY8QX5QJwuMupD8erlNOtO72P7yG25ETYzilEe+fxePj44495++23+eSTT3C5XOj1ei677DImTJjAZZddFvRhnoie062ibiDEGpUierIyUvFrDVitp/7AU7R9EU2Yli9fHtbzbdy4kTVr1jBmzBgef/xxFEVBVVXmzZvHq6++yvr16xk1alTI43NyciguLuaPf/wjc+bMCWtsQtTW41h5wlQS2yFs5yyO7wrsoWfukbCdU4j27N577+Xjjz+mtLQUgJEjRzJhwgSuueYaWftICBGS1u9H629+D6fN6QQF0k6TIk3p9mzQqmSmtM+e0ogmTBdccEFYz7dy5UoAZs+eXfX0SVEU5s6dy2uvvca6devqTZi2b98OwJAhQ8IalxC1pdmzGH2shKMdDKRbUsN23nTLPF6dfgt9cotJs2dhkyEcQtTrrbfeYuDAgUyYMIHx48fTq1evaId0WnnuheUcOLgfbwDs1oYbjumZTrQ66W1pD+xOJ35VQ0Zq44aPp9kc+BUFg6Z9FH0wuoqjHUIdmc5sVJVG/06aQq+60Ze5ychyktEOk8SIJkyVfD4fX3zxBdu2baOgoIB//OMfbN++ndjYWHr37t3o83z77bd06tSJwYMH13i9e/fu9OvXjw0bNtR7vCRMoqXE+ErQBSCna5ewn3tfty50LTiI2VsS9nML0d68/PLLnHnmmdEOo1VKz8rC5CrBrY8jwxqZOZEHD+VgdBWj1TVuyKNeE0DvKo1ILJGSZstCr1W56NwLuHLsVQ3ur5wGw++s9mziPI1PGFKdTuK9JQQUDR5j6KVoMp1ZuP0qWWmRbZC/uKJ9Vmc0uQojdm691w2A9hRu7+LiYh5atJjknkn8aeb0MEUWHhFP47/++muuvPJK7rrrLh599FFeeOEFoHxtjDFjxvDcc8816jwej4fDhw/Tt2/foNuTkpIoLCwkLy8v5Dm2b9+Ooih89913/OEPf+Ccc87hd7/7HU6nk6Kioqb/cEKE0OV4eSW7go5dw37uynN2OS7D8oRoiCRLoRm8bjRqAL3qbvKxqfZsHHY7lkxbvfupgfLiDVq/r1HnVQKN26+S1enAYc8kxe5o0nHhZPYWY3AV88Wmb0Pu8+KKVWja0LpCa1euPaXj1SZOQdOolf8O/R6VJ/hFxJ/CMDnRuv3f44uILSvkUM7eaIdSR0QTpq1bt3LHHXdQVlbGnXfeydVXX1217ZxzzqFLly4sXLiQjz76qMFz5efnA4RcEb3y9foSn+3bt6OqKosWLeLMM89k0qRJJCYmsnz5ciZPnkxxcevrPhVtzzPP/Yvko/mUGDX07N0v7OdPSupHsUlLv6MFLFzyZNjPL4Ro38Lx9NykeNF7SjETIDPLSaqj/tLYkVqE1OwuQ+9xEaNpXAvd7nSyIM1Cuv3BsMWgUNHar+dH3L6naQ3ATEd2+ZyQKNm17f/hsGW02PU0gYZ/f5X7aAL+SIdDibdxiXuK3UGmM4vnXgjvnP3GSLMvINVhr/Faqi2LBYuWtngszZGZlU1WZhrzqz3sqPzdan2tr0R9RIfkLVq0CKPRyMsvv0xSUhJLlizhv//9LwCXX34569atY8KECbzwwgtcccUV9Z7L5yu/eUNVMqp83e0O/qQsEAiQkJDAsGHDeOqpp6pWdg8EAmRkZLBmzRoWL17M/PlSqlmcmsOH9nOmO8DWPoncHoEu5dtmTuepTV8wfO8xXCdkTSYhROOlOZzEuouxOZ1oK17T+LzYnA4GJw/g5qmTQx5rtTvQaxTSLBY0gfIkQedzo/O50WtrLuthycxEpzNGfNx/ZbKiNnKYm6FiXomBlm2QNaXo34srVlWVG890OvGpYE8NzxC0FLsDk6LiCmjqHdamoFYNsWqO2r+PTGcWPj/Y05o/71ZD48d6PbjkSYpPnMCIDxc6HBGa7xur+tC53Bw4tC8i569PjL8Ejd+HJdOGMz0Nqz2beG8R/rzG39vzbXYSE7ty/+y7GrGvk1iNijegJTPt1NvKprLyezzG2DYqlEb0s+y7777jmmuuISkpKej2bt26MXbsWN55550Gz2UymQDwer1Bt3s8HgBiYmKCbtdoNKxdW7eLWaPR8MADD/D666/z1ltvScIkTlnHiiQmNzF85cRrO57YDfYeo2OeJExCiPql2bPxB3w4063oKhqdBncpAW15E0CjBjC6Sti+r/5ekDhP+bxJi9OBudY2rb/md3OCzwU+F15j8O9kiy0LgyaAT9VgP6XGrAJBGtIZ2Vl4vJBVrYFuf/RxKptmOo8Lhy2T1LT0Osc+WDGfyxUTB6qGdEvj2wUOWyaKGsCSntmkn6K66r0bpjAXDjArAfTuMrR6Y7OOz7BnE+MpxGs0k5rauMWeU2124r31z0trRAdTDemZD5KZ/kDI7eqRfVTOhFIMpqD7OOw2AhotaRYLqZk2tDotmZbyJPJEycl4LTYnA/r05U8zp9U5h9ZXft9r/OGbl5Zmy0KnQFqtv4s0hx2fqmBUtHjxE18xzNWsBHjsyafQassHjdX+WwzF/tBCOnpLCRzZS1rmAmzp9S/vE4cXnduNaoxt1PlTspyYA35KNRqyUsJX/CpaIpowud1uzObaH6s1abXakL1C1cXFxaHRaEIOm6scihdqyF59YmNj6devH1u3bsXtdmM0Nu+DRAiA3rnH8GmgyNC4D5XmKNIY8WoVknOPR+waQoi277kXlhPrqTvRW1HVOsPkKjsFMrOy0QT8WFNPNnJS7VlUfrtqVaXRc1RCdfyY8aJzu/AYytsIafYsNFqFUMvPp9qcdEzsTFHRCYb1Sa63JyzDlkWMtwhjrWpr+rya8z71XhcWWzYoflSNlizLfNLt2VXJoKmsuCq2yoqkmY4FaPBjDdLjo0FF7z35dD/DkY1e9dCjd/+QsQZT5ml+z05DlIqeQa3Pi93uoERVMOoUtKpKWkWyEGrI5osrVmGomD+kd59MKLIy0qp6K4PR6HXQuDZ8vQLVuunMvnwetM6nyJCAI0jBkhq3Z7WbcOGSf1JScAIVlZiKRZGff+HfxPvKIMQovARvMcd2bcHmsJGWGnxNpvrSpTRbFrYm9KzFesvbsxZbFs6K4yz2LBI8J9/z6imgzuum6HguaOr+9Sxc8k9KC47jDoCzVpXKUpe76gGCXuOpc+w/n3meA0cOYq/4HKgaClnxuWFzOvEGlJAPPDpU/P3ENbLgS20pdgexAS8+jYn0CBWlaYqIJkwDBw7kiy++IBAIoAlSJtLr9fL555/Tv3/DHyYGg4FevXqRk5MTdHtOTg6JiYl07Ngx6PbCwkJ27txJp06dgl7P5XKh0WjQ6VqkcKBopzKysrmqwMPerrFkpUau5Hd2WirL75zBwMNF2JzOqi86IUTDSktLG3yY115Uf1IOYHRXVtdU0dQqxKD3lzfUK4fKVG/oxXtqzQ8OkglZM52YND5cGg2h65yVU9SKuQoVja/Y2uevxuZwEO8twXu0FLMaYMeeXWQ4szF6iquKBFRvIGs05efWBGomhEqQZm2crxgFFUVVQ8/tqlbm3OQuAMqHJ2XXGtJmcNf8GWIqhtXtP7QfTQNTxjt6i3lxxap6E8GGpDjtjEgeyM1TJ5PhzEbnd9Gzz8Cg1cYUNYDBUwJGM4ay8nuksmdNVRSC5cO7f/4JbaDuRK2GejR0/rpzjp57YTkur59Zd8wEQBNiDpozMx23YsIWYgiYUVHJtC8g3Vp/70gl9/FDmHw1k4PcXVvq7FdWWkztZr7RXcZDi5dSXJCPXvXjC+gwKaDUuq0y7NnoVG9V8h/rLSqvpKh48aKvsRxIumMBfnw4KpISm9NJ5SN7VXvynjFo679/NAEf/iAJU1n+cYzuYrS1etnSM7Nq/NFoK4qtpDqyMeDH3LEL7rwjxHldZNqzSLemUD0ttNqziPMU05juhcoHMzZHFjqfC4/ODAoE73s+yaQBnceDjrrJXDREtOjDpEmT+Pnnn5k3bx4nTpyose348ePcd9997N27l+uvv75R5xs5ciS5ubns3r27xutHjhxhz549nH322SGP/emnn7jlllt48MG6Ez2PHj1KTk4Ow4YNQ6ut7zmJEPWLKy6v0nioa+SG41U63KV8Hl5cofQyCVEfVVVZvXo1kyZN4qyzzuK8884DYMWKFcyfP59jx45FOcKWkWqrvzCDzuvGVq3QgCbExBsloASd32LQlQ91M7tP9rKEozKc3ueucS6ju4QYV2GdhKiSsVrvR4Yjm9X/Dl3kQqMGqsp8h5rob/D5ycxy1qjE19FbTGZW6KIM6dW2KYGawwYVAmRmZdU5Zse+PQAUFNcdvpbuOHm+VHsW6Y4FVf/9wgv/Ji0riw6uUnbu3glAjKsQvdfD3sMHapyn9m802O8nWNnzF1esCvp+20MU+1CrVcA4maSXS8vK4tiurRTv31H1WkyIctc6n4dYbyEWe933q/JKJk8BDrsNm8NBpqP+Qhk6X/2N73RHNha7A33xiaDbC/PzifGWYfCUoQuxXliMpxC9t2Ylv1hvEQaPi1hPERnO8hhfXLEKs7uAeHdJVbXJ6ms36QIBUpwObA4nprKCeuMGCChBfpdUPDyo9XDE7KvbAwsQ43dhdJdQln8cXUVvqVKrTrje60bRNXEMJWB0F6H1e4lxFxDjqvnzZKWn4sysNTy2qaUWIyyi3Sm33HILmzZt4vXXX+eNN96oGup2xRVXcPjwYQKBAFdeeSVTpkxp1PkmTpzIa6+9xqOPPspjjz2GRqNBVVUeeeQRAG666aaQx44cOZKuXbvy6aefsmHDBs4//3ygfO6T3W7H6/U2Og4hQulxrHxOUXFs54hfq9TcCRVIypV5TEKE4vP5uPvuu/nss8/Q6XTExsZSUFD+ZZ2Tk8Mrr7zCd999x4svvkhiYmKUo42seG/D82FU7clGSoynMGivh9kbojeoqrenWgMrSOM7xeagg68JY7QakXTpPaVkOLIx+kpqPAmOcReyc9/ukMdVd/DAHgxBKrDpPWXlvQXGhBqvm8oKa/QIVGcuO5kAmGr1POk8LnS4yLRn1xhapfV7yXQ6QaPUaZyZ3YVkOLOIcRVVDY202214FS2x7mIqB4DrPTUb6hpVg8Ne3hhPtdYdTtbQzBtnZhqWdFvoZNJd855Ks2Wh06ohF5+1OZ3EVksKMrOcDOnb8CijBE8RLlNCndcrr1/95372hWU19tE04V4zeUvw6Y0hqzrGBDxVCWX1whZK7W6melQmh9v37an6/WsNdXuHdBqVWFfj1lvUed1BqwfWVwulsge0usrEqvbv1eawY6zoKVTUAIZ6ehUNrmIyHNlVPUgav6/BypzagB8CfnyG8vtGEwhgdLeuytURX4fpoYce4tFHH+Xiiy8mJiYGrVZLcXExI0eOJCsriyVLlqA0snzMxRdfzLhx43jvvfe46aabWLhwIVOnTuXVV19lzJgxXH755VX7Ll68mMWLF1f9t8FgwG63oygKM2fO5L777sPhcDBx4kTef/99rr322kb3dAkRTIrTQZ9jxRxLMJAegVW0a8uwzONQooleeWWkh3z6JsTp7fnnn+fTTz9lxowZfPPNNzUejN13333MmTOHffv28dRTT0U0Dp/Px7/+9S/GjRvHiBEjGD16NEuXLg1ZyChc8vKa1gOtUWs2uvZu/xFLE9c4qt5DUb0Rl+HIIs2eRYdqi26rqorNUf/5Q/Uk1b6m0VeCJsjwL4OruMH1ogAM7rJ6eyCCPfA2nkJRBm2tiT06jwuTqxhdiOp0hlq9FgZPWYNPvfXe0vKEz1NGdroFrbdmBTW9p/6KajqflwxHdp2hnQDpQXosY71FGF3FxLiCJ9W13y9TWTG/7NpR87UQvU2NXXT1+K5tNf5bowZIy8rCYreHOKKm2klndTqfpyqZMrpLmr0IscOeWeNeM5cWkrngoRr7NOa+r7F/PWudKYEAtnpK/2t93qriacHOW73Xtvy1k39nNmfd9kftZGzv9h9DXlvDyXPpGrgfo6lFJuyMHTuWsWPHhuVcDz30EIMGDeKVV15h2bJl9OrVi3vuuYc///nPNRKvJUuWADBnzpyq10aNGsXKlSt54okn+Pjjj3G73fTv3x+r1crkyZMbnbgJEUyc14XOD/u7Rr53qdKBLl3plbcfs1sWXhYimFdffZVzzz2XBx4or6hV/XNep9Mxa9YsNmzYwMcffxzRKqk2m401a9YwcuRIrrjiCjZu3MiiRYvYvn07ixYtith1TTqaNOHeECQBiPU3bg6BwV23UV09YYoJ8jlVWZY8LAKhG6+x6qknpqGGjTVXqIa5zhv8/Q62+G+wVkuazVnV41S9Ud7UBnilGHchJYUBateaMzeix7IxQiWI4RRb1sjvSFVtUhJUua/W58XmsKOg1Jn7FEztRFUBTCUnau1Tf2XB+mRlpOHTGTFW3GOK2nCPzYMPLsAQpGctWFKtrXZfGUMkx42ld7feJKm6NlfhQK/XM2vWLGbNmlXvftu3bw/6+jnnnMPTTz8didDEaa7L8fKhcfmdurbYNQs7dgH20/34kQb3FeJ0tH//fq688sp69xk+fDibNm2KWAwbN25kzZo1jBkzhscffxxFUVBVlXnz5vHqq6+yKdwKYAAAIABJREFUfv16Ro0aFZFr1/e0vLEaW6Y42uqbLxUs2WgPag+dAogNUyJTXWXFwPauuXPuNH4fxlZ0j2n93ib/3RpO4bPCas9qsNBLWxfRhOkPf/hDo/ZTFIWXX345kqEIEVELl/yTEUdOUGLUYErs3mLXHZw8gPyffqTv0UJS7A6yrG1/rQMhwikhIYEDBw7Uu8++ffuatSRFY61cuRKA2bNnV/VwKYrC3Llzee2111i3bl1EEqYUxwI6BBmiJoQQ4RRXT5XL9iKiCdPWrVsb3KdXr14kJNSdyCdEW+LOO0KsO8BPfbtw36yGV8wOl5unTubJbz9jxO6jxAbaxlNgIVrSRRddxPvvv8/WrVsZNmxYne3/7//9Pz766COuueaaiMXw7bff0qlTJwYPHlzj9e7du9OvXz82bNgQkesamzARXQghRGgRTZi2bdsW9HWXy8W+fft48skn+eGHHyI+2VaISOuUdxiAY517tPi18xK7we6jdM6TYXlC1HbPPffw8ccfc8stt/DHP/6RvXv3AvDKK6/w448/8p///AeDwcBf/vKXiFzf4/Fw+PDhkMteJCUlsXv3bvLy8sJepU/h1Et6CyGEaIEqecGYTCYGDx7MI488Qnx8PA8//HA0whAiLF5csYr+R47j1isUa0OtUx85HtWIy6DQ70geTz77XItfX4jWrG/fvixbtow+ffqwYsUKPvvsM1RVJSUlhVWrVtGtWzeeeeYZBg4cGJHr5+fnA4Qc8lf5elFR+Ie0qNH5ihdCiHYnqkUfFEXht7/9Lf/5z3+iGYYQp2Tn7l8YVepne1KnqMwhykxP4dnZf2bY/jyOHTrY4tcXorX71a9+xRtvvMH333/P5s2bKSoqwmw2M2TIEM4//3w0IdaMCQefr2JdE0Pw2lmVr7vd4a8UpmlmyWMhhBA1Rb1K3v79+0PWfheiLehwonwo3JEuLVfsobZjXbrD/jw6HzsUtRiEaO3OPvvskEPjIsVkKi/GHGq9pcrvv5iYmKDbT0VAIwmTEEKEQ1TmMKmqSmlpKR9//DEffPABF110USTDECJiNm3aRL+jx/BqoUTXmNUXIqNUZ8alVxhw5Bj/98+nuPeuO6MWixDR9OGHHzb72NGjR4cxknJxcXFoNBqKi4OXZa4ciheJKn0yJE8IIcIjognTxIkT610MVlVVYmJimDt3biTDECJi3nj7bUYXefmlRwKOtPSoxWFLTeG52bczdP8JSo7mRi0OIaJt1qxZTV6EXFVVFEVpVGXXpjIYDPTq1YucnJyg23NyckhMTKRjx45hv7bX5yf8/VbhE1A0zV73RgghWlLUEia9Xs+AAQMYP348nTt3jmQYQkRMQn55cnK4W/SG41XK7dqDoftP0C03eMNMiNNBcxKmSBs5ciSvvfYau3fvpn///lWvHzlyhD179kRs0VpnWip2ux2DpzRs5yyJSSC2rDA85zLEEe8Oz7laI7cpDqOrZs+iX6tr1iK6blMCRlfd98pjNGNwN/z79Rpj0LubvzBpc+Nu6wIaLZqAH68xhoCiwegqAcCrN6L3uiXpr1AaE4/O76ta/Dag0aEJtK/7JaIJ04IFCyJ5eiGi6vNPvqDf4SP4NVBsNEc7HAJxnSkxaRh0+BjzbE4WpFmiHZIQLW7OnDnRDqGOiRMn8tprr/Hoo4/y2GOPodFoUFWVRx55BICbbropYtc2depKWcHxOg335rKlzOdB6/yg2xrbeK/UPymJY7vaTsLkMcYCKjqfG00jFgT2BRSMtV7z6024DRrMDSSdZaY4Yqr9zlSlbqO8QB+HBg2NGQweOIXhmQ/YswGqfu8BRYPPEIPBXdLsc1ZXqDMTixetr/FrCaqKQvIZw9m6ew9mXzFKRYGT0ph4zGXlw1yLTWbiXHXvx7KYeBQVTK6GK1N6DDEYXSW4FQW7JRWbw0lA1dAnqRe7DxzEYZ1Puj0bsyd897HHGBvyvfUY4/BplKqfEaDAlIABhRhXQchzumM6ouLFVBae31ltmSkppNmyMAAqCi6dueo9CSga/DoDeq+rxjElxjjMnpKq311rJwOchWim9Z+tp2uhhz3dErClpkU7HFLu/Ts7e3YhxqOS4A9/xS0h2rpNmzaxevVqnn76adatW8eOHTta5LoXX3wx48aN47333uOmm25i4cKFTJ06lVdffZUxY8Zw+eWXR+za98++i6RefSJ2/uq82rrPYAt08RQaTJTFxOOOiat63WVM4E8zp9d7Ple1/YMJaHWUxDS88H1A0eAyJVAaZF+3MRa69w0dg6kDXQecicucwKxZs7GmWgko2vLzarS4TPH49LXTovIGfbCaG6qqkpkyn4BWW/VambFuXBmWmg+8fjPiXDymeDzG8kGWHqOJrDQLjtT5Db5PAGjq73UtMsSRPOSs+s9R0XPrM8RgTU3Fawj+oNCnN9T5mYK9R5Wc6VZS0m34K5bl8Gv1uE0n5/R5jXUHlpaa4rll2mRsaSn4K+YPBxQNmSkpVfsEAlpKTAmoiqZmrD5It6TgNgV/3/zakylousXCPHsWdosVgLRUCxnW+fzptltxVCSQmdb5qJS/N35dzaVFXIYECnWmOr8jryH0YFmfqg36ekCrw5pqITMlpSqJBdCoENeh/iG9aSkPkJ4S2Sq+trQUioxxDBp6NpnVHqp4jbEMGnBGnf3P7NefebasGq+VmRr+e46WiPYwTZ9e/4dhKIqisGzZsjBHI0R4JR4vr0h3oHuvKEdy0vEuvWD3UXodkWF5QlT68ssvycjIYP/+/UB5oxXKv2uGDx+O3W5n6NChEY3hoYceYtCgQbzyyissW7aMXr16cc899/DnP/854kMI/zRzOmnZDmJLgz9dLjMkoNEE0PncNZ7yBzRa3LpYFC2YygoJBEmIGpKVfrIBa8tyVv3/9NTgvVSVPKZY0lMsOBwOAmgwumv2BniMsVhTyxuAwXq8XMY4jJ5SFDWA32Ak3VK+j/2Rx1BKitB7SimNia9qYIfqNUu3zKvzmlsxgl6hRDGQZUnBbrcDoCoalGrDs+qrUlhekKO8lyojdT52h71O75xfq0frL/99jLluLGOuGxv0XEP69ufn3b/UGHoZaghfKA5reYIW6n0A8Gn16HweVKXus/bqQ/58OgMZtXoip946k3+/+CL64vya56yWSHn1JrR+Lz6diTRLCg+mpYCqEqwDwpZSN05VU35/lsQkoFMDOC0pNbaf7CEr/++AevLvzmswovUH0Pi9oNFQpk2o+pxojFJDHDqNSprFUnUdt9Fc4z6vet0UV2O/2uI7dcJ/5GTvTKghf6UxHdCqfhwV97bF7iDB07QeJK/eVKfnJxi3MRZjtV4vVdHgMsSjw0P1X5Aj9WSiH9Dq0Ph9qCjcPHVyjZ/XYzBz89TJNa7hMcWTYanbg+2pJ7lsSRFNmHJycigrK+PEiRNAeXnVhIQE8vPzq0qpKopS56ZsbePPhaht4ZJ/ctbBXFx6hWJ9bLTDqXJGv4Ec2/4TA44UYHNmkVbrC0OI083GjRu58847UVWV8ePHM2LECLp06UJRUREbN27kzTff5NZbb2X16tUMGDAgYnHo9XpmzZrFrFmzInaN+tjmp1Y1RFRFwWWKQxMIoKgBMqx1G3WqojA/01H1eprTgaKWNxk8pjgMtYb4uY1mdA01MOvZ7InvjKasCJ3PgysmjvSU8oZXaq2kyGOIx6vCmf36hTyX12AmPdWCxekgJhCgTD3Z1LHO/VvQY0pMcRjUAPpqSYsnRA+ELa3m52qTWiwVPT3FeiMd/N6KYX41VT5lVxMS8ZQV4wvUPxjo5qmTyXBm13jNFfBXDQf06Qz4/RpUFBRUPMY4DO76h2h6DLEYajW+SzRGTCYjSb1613hdVTQ1h/wF+T0nJyeT+sADdRrDSrV3L92SguPBh0l74P56Y6sTq06P1ufFbSgv4R8smQLwGGMwuMtI6JQIQEZqysn7HU2NYY8Z9SSOwdisdb9rVaVmE3vqXbN54vlldRK5+hTqzMQHXGj9PgKamj1PmSk1k3mnNbXehDeY1IpiVRZbFnG+kqrkzKc3oatIpAoN8ThTU3DaM9F5yl8r08eTmVr3YUJ1JXojBr2RIcnJ5f9tMhNbOURSV7cXrVet+6r82h2Y+sffN+lnipSIJkwrV65k+vTpJCcn88ADD3DOOedUJUPbt29n4cKF/PDDDzz77LP0q+fDT4jWxnPsEHEuPz/17YwzyAdltNw8dTL/99N3/GbLHuIKj0U7HCGibvHixeh0OpYtW8aIESNqbJs0aRKTJk1ixowZLFq0iMceeyxKUbYsrz6GjJTgn1teoxm9u5RSU82GvM1ycjiP1WLhXy8s58iu8qqCHqOZtFQrC5f+E6+7FJ/OUDX5u7Huv2d21ZpV9bE24vPWQ3ljzGlp/BAkm6VuD0tAbdysBbWiXaNSM3kKNu+oUpal9hzTiiMVhYzKHoMQyV0wAUJPsLekZwKwevkqNFqFm6bcErJhrSoKiqqiauumgVm13vtA5c/dwEPuYEmh1xCD3lOGu9ZyHKnBkqWKHi2f3oDOW3fdzsyUxs3Xtaam8eKKVXV6NqB8tKFPa0Dr8+LVRaZpnJSU1OT2QnaahYVL/klZQR5lgVMvLlESk4AaCBBXK2F2pqWQXTHvOaDVY0zsjv/I3qDnCGh1ZFrrT5YAHLX+/mwWa9D7zmswo/F7gg7RdTbiOi0lonOYnE4nWq2W5cuX8+tf/7pGz9GQIUN44okn6N69O0uWLCE+Pr7GP0K0ZkmH9gFwpFvdJyLRVmTugk8DZ+Qc5MUVq6IdjhBR9eOPP3LNNdfUSZYqnXvuuYwZM4b//e9/LRxZyws2lKo2iyWVAn0ctgYaoTOqN24qznvfrLuYn+nAak3DbYqjVF+zh0at6HqoPn+nUmOSpYaUmRIo0JuDPu1vDuUUF/5VNHXf71AjaCp7D5o7/MhmsVJqONl2UoI0726ZPpmbptwC1JwfVlptvlGJPg63KQ5PIyq/uVUNPr2JMoMRc8cuIfcL9i76NXoesGeTGaI3qLYSXRwDBwxp1L71CZYsVUpLTaXAZK7q3Wwud0URKH+gefdPp9iac8Pum30XVksKWdZTn4NkS5mPPTX4z1d5Z/q1eu6bfVed7ZXrugUa8TnSFKlWKykZ9rCeMxIimjB9+eWXjB49GoMheA0XvV7PRRddxDfffBPJMIQIq4ysbAYcKeRoBwO/Gjws2uHUkWGdz86enUgs9vLLrpaZ1C5Ea6XX64mNrX/YbFxcXJPmK7R19fUHKIpCVhgqbKZZLGTWOs+cv9yNKyaO4ggt8q0oAbLSrKd0jsYklbV5KybF1O5J8VVrMPv05QmhN8S7n54ynwJjPGf0G9jk61fKtKbgMiXgNcSga2CgYPWkILPaPBu7NYU0iwWHxYrbFEuJOfTfjtOagiUtHZvFGrSBXWrugF+nx13tT6tyzpK/nt63YGzplnqTnVNVVlH0MMtyavcPQFqqlTJjQtgS92hTKf9dlaHFazBTotc3cERolX8HzcwloyqiQ/JMJhN79uypd58dO3Y0+GUmRGvS8cRhNCr80rs39900KdrhBHWoZx+GHjhB35w90Q5FiKi69tpreeONN5gxYwa9e9ftEc7NzeW///0vY8aMiUJ0bVtlGXFvkJ6UYBITE+s8vffpDOh8dYdZRUup3kysp2kl2G3VEsPqQ46yLKlkZjlxB1QGJvVl7/4cbPND96hkpZ56A7uyuAWA3W5rVqGOSmlNGNJYQ8VQxsz5dYdTJXbvw6GjhxvswWwpHlMsSiCA0xreSrcZDRQ1qU+sXkdrGFBfWXRkYO/yKpLhmH7Qo3d/dufsxxFiSHBrFtGE6ZJLLuGNN97g5Zdf5vrrr6+xze/38+yzz/K///2PKVOmRDIMIcImxe7gd/sP4dEpFJg6RTuckGbP+Ssf/G0WA44UYXdmYZXiD+I0deONN7Jx40b+8Ic/MG3aNM4//3y6deuG2+3mxx9/5LnnnsPj8XDuuefy4Ycf1jh29OjRUYo6MlxGMyZ3Cd4QZYubyppqJc3mqDcJaMioK8bw086fG9zPbYqHFlgg1Ga1kJWZhtbnxdWItZZCqezfOdXhXafCGuYkoCHFJjMGNDWSttr+cuefWjCihlmbmxSGQfUqiNXnv908dTJpNicN1PoIymXuiKL6MVZbp6l2sQgonzdUe4qeqoCinhxC2X/AULbu2c0DDZT/b4o/3dbwucqMCcS0wgWtI5ow/f3vf+fLL7/EYrHw/PPPc9ZZZ2E2m8nNzWXz5s0cPHiQM844g7/9rfETG4WIpg7uEuLL/Hzfvxv2tNabhHTs2JGdfZPpeWI73UJM3BTidDBhwoSqaqxPPPFEnTkklUPx5ldr9KuqiqIobN26tUVjjbTaa/uEgy3t1BqcF196MRdfenGD+7Vkxc/ufQexK2cvWdZTH551OrGHYTjb6WTAoKFs3r2PGNWFW2cgtlqSY2vmsNj0+Q+Qlu2sqpDoMsXj8tcd/5Ya5N726YwYPGUEtOWZ1C3TIzcEsj4ZqfOxOu1o1YimKE0W0Wh69uzJunXrePjhh/noo4/YuXNn1bbY2FimTZvGX//6V+LiGrHomhBR9uKKVQzZt4eAAse7tL5iD7V54xIpiNUxdP8xMp1O0iPQWBKitZs1a5YsVSGapKEFdUX0eAzmqgZ9W1d7TlZTS4I3RnoTHjTEdOpGcWE+Q/uGXsi5pbTG5Dvi6VvPnj155JFHcLvd7Nu3j6KiIjp06EC/fv3QBqmUI0RrtWvnNi4r8LAjqSPWEFVmWhPrP+7jYcsDXLx5J92P7I92OEJExZw5c6IdghCiGTx6EwZPGf5qc+Ss0usXMcEKd4iTWixNNxqNdOjQgfj4eAYOHHhaVSQSbd8LLyxn6O6dqEBOUv9oh9NoxaaO5MfqGLY/l0xHdsMHCCGEEK1AQtfulMQkhFwzTIiWFPEeJpfLxZIlS3jllVfIy8tDURS2bNnC888/z+eff05GRkZEV1cXIhwO797O4Hx3ee9SFCeJNlWmdT4PWefx2x9+ps/BnQ0fIEQ79NFHH/Hmm29y4MABPJ7gFdkUReHll19u4chEOPj0RnReN36/DL1sCo8xBk2g+YUtIu2vd90Z7RCEqBLRhKmkpIRp06axZcsWevbsSZ8+fdi/v3xokMvl4ptvvmHKlCmsW7cuaLlXIVoDi93Jb37ZSUCB/UltL7lP7D+Uw/v2MeRAPg67jdQWrpwkRDStXLkSh8PR4KgGmefUdvXrN5gtu3eGpezx6cSaKt8FQjRWRIfkPfnkk2zZsoXU1FQ++ugjxo8fX7XtnnvuYcGCBRQUFPDEE09EMgwhTknXwlwSi31sTu5KWhssnHD7bTPYMmgoAMN/3kpapgzNE6eP5cuX06lTJ/7973/zww8/sG3btqD/tLeKeKeTKdMn40yXxr8QAN7ySuVBy4mL5otowvTOO+9w6aWXMnXqVBRFqfMEb+LEiVx++eV8/fXXkQxDiGbLdGRzzi/7KTFqONilT7TDaTarNY0tfRLpWuChS9GhaIcjRIs5cuQIEyZM4Pzzz8dgMEQ7HCGEiKjsNAslhjiKdKZoh9KuRDRhOnr0KMOGDat3n/79+5ObmxvJMIRoFsfCRzjzl5/Q+2HT4IHYrW2vd6m6/T36URij5ZydB3DY7dEOR4gWMWDAAPLy8qIdhhBCtBib1UKWte3Mt24LIpowJSYm8ssvv9S7z88//0xiYmIkwxCiWeKP7KVXXhk/9+pA8tAR0Q7nlNlSLWwcNgyNCuf99CMZdhmaJ9q/WbNm8c477/Dpp59GOxQhhAipTB+HyxAf7TBECBEt+jBq1CjWrl3Lp59+yu9+97s629977z0+/fRTbrzxxkiGIUSTZWekcumOHIpitOzuNZDMqdFZ8TrcLOmZPHb/Xzl/Rw5n7v6J+TYn2c1cUVyItmD06NFMnTqVO++8k/79+9O7d++gQ/MURWHx4sURieGyyy7j8OHDQbc988wzQb8fRdvmNchwKNE0GfJd3KpFNGGaPXs269ev56677uJ3v/sd+fn5ACxevJjNmzfz6aef0rlzZ2bNmhXJMIRoEofdzm9/3IZPCxt+dRaZbXwoXm3dz76Qn4uLOONgAR7dDlJtDhxp0nUv2qfXX3+df/3rX6iqyq5du9i1a1fQ/SJVJS8/P5/Dhw9z9tlnc+mll9bZnpycHJHriujq17ftVVQVQoQW0YSpS5curF69moyMDD755JOqsq5Lly4F4Pzzz8dms9G9e/dIhiFEoznsdi76/nv0PpXPzx7aLlcVv2XqZCy7d2Pwbaf/kWIUdQcWezZO6/xohyZE2D355JOYTCbmz5/PueeeS0xMTItef/v27QBcd911TJ8+vUWvLaJn6vSp0Q5BCBFGEU2YysrK6NWrF08//TS5ubls2bKFwsJCzGYzQ4YMkbWXRKuSnWHl4h+3overfDniDObZnNEOKWKcVgsWu42A8gv9jxRjdv+AzeEkLbV99aYJceDAASZNmhS1od+VCdOQIUOicn0hhBCnLqIJ0/XXX88FF1xAZmYmXbt25bLLLjvlc/p8PlasWMHatWvJycmha9euXH/99dxxxx3o9foGj8/Pz2fRokV8/PHHHD9+nIEDB3L77bczbty4U45NtE1WezbdTxzg0l8O4dPCFyOGtutkqZLTmoZ9wcOUmHYyfO8xLt20iYXz74OkQdw3+65ohydEWPTu3Rtv5cIkUSAJkxBCtH0RrZKXk5NDbGxsWM9ps9nIzs6mY8eOTJ8+ne7du7No0SLuvffeBo8tLS3ltttuY/Xq1Zx99tlMmTKFwsJC/v73v7NixYqwxilavx07dpCVkcZ5O77n178cotCs5bNfn3NaJEuVrPPu585FT/H5WYNRFbhoy24GfvMJ2RlWVv97VbTDE+KUzZgxg7feeitqC9Nu376djh07sm7dOq699lpGjBjB6NGjWbRoER6PJyoxCSGEaJqI9jANHTqUzZs3h+18GzduZM2aNYwZM4bHH38cRVFQVZV58+bx6quvsn79ekaNGhXy+OXLl/PTTz+RlpbGlClTALj77ru5+eabWbhwIWPHjqVz585hi1e0Tlb7AuI8hQzcv5fLTrhQgc3JXTjQJRmbNSXa4UXFA45sMrOy6X3gF4bknKDbpi3k79jBou//R35iD9JSTs/3RbR9MTEx9O3bl0mTJjFy5EiSk5ODzmNSFIV58+aF9dqBQICdO3dSVlbGsmXLuOqqq7jwwgv54osvWLp0KRs3buTZZ59Fp4voV7EQQohTFNFP6blz53L//fdz4403cuWVV9K7d2+MRmPQfUePHt3g+VauXAmUV9+rrGikKApz587ltddeY926dfUmTKtWraJLly7cfPPNVa/FxcVx1113ce+99/LGG28wY8aMJvyEoq3IdGZjLs2ny4ljXH60AJO3vADJrh7x7Ol7BlaLzN1JTykv+mB3Ouh5cA8DD+cz8ucDwAFem3YzBxM7kt+hMx6TmSF9+3NzOym1Ltq3+++/v+r/f/3113z99ddB92tKwnTFFVdw4MCBeveZMmUKd999N8nJySQkJLB06VISEhIAcLvd/PWvf2X9+vWsWrVKikG0IyoKqlYb7TCEEGEW0YRp5syZABw7dowff/wx6D6qqqIoSqOGS3z77bd06tSJwYMH13i9e/fu9OvXjw0bNoQ8dt++fRw5coQxY8agrfVhduGFFwKwYcMGSZjaqFX/XsW2Pb+gUxR0Pg96TxnmslI6FRfRubCMK12Bqn0LY7Rs7duVvM49SbNIOe3arBXvyXznAjqW5dP7yEGSjpfQpTAXyAXAtWkTaz56m4JYM6UmM26jCZ8hBp9Wj1uFEf36SUIlWoXly5eH/ZxXXnkleXl59e4zYsQIunTpwmuvvVZnm9FoxGKxsH79et566y1JmNqRnmeciUkrPYZCtDcR/aueNWtW2Na28Hg8VWtZBJOUlMTu3bvJy8sjMTGxzvZ9+/YB0Ldv3zrbunbtitFoZM+ePWGJNZQ0WxYajQZVAU3V26JW+99yilrRuK/21qmqptr28n9rqh2r1vM+K0qg6vxK1YWqnU9TcR61WhQBtXLjyf1qRFkZV+U1gly42vlUQKOqKATKX1dVFDWAgooSqPhvAigBFaVimzbgRxPwo/WX/6MLBNBV/n9/AL3fj8nrx+Tx08cTILlueAAUmrXs6hHP0cQulMR1YnByf2ZLY75B2ZaTT9tTbU5Mio+4wjw6FRWSWFRK0vEyeh8vA47XOdb33Xe898YruAxaXHodbr0er06LX6PFp9Xg12jxa3UENBoCWi0Bjab8HlY05U9oFaXinq74d8U/qqKAqqAqAErVjaeqNe9BFQXUAGiU8qG7AQUIgFLzbwnK78sA5edUlACooCoaIrMqT1tU+R4HyLC0vaGZF1xwQdjPmRKGIap9+vShQ4cO5OTkhCEi0VrcKuXEhWiXwpowffjhhwwYMID+/fsDMGfOnLCdu3LR2/j4+KDbK18vKioKmjBVHl85JKK2uLg4ioqK6o3B7/cDhFyxvT6LFi3mos1b0IRo1IumCyhQYtCQp9PgjtHi1utwGwyUGY14jCY8+hi8Gg1zZ82uc6w0UprmrtturfPawkWPY9Tq0Hg96L0uTG4XJo8bo9eL0esr/7fLjcmjImvetw/pf53Nn+9v+jyfys/Mys/Q1sTn85Gfn88nn3zCDTfcENZzHz9+nN27d5OUlETPnj1rbFNVFbfbTVxcXL3nOJXvHSGEOF2F+3snrAnT7NmzmTVrFrNn12ygHjx4kAMHDnD++ec3+9w+nw8Ag8EQdHvl6263u9nHl5WV1RtDbm75cKTKghFNVXdghmgJb738SrRDEKJ92LWDF9/9b7MPz83NJTk5OYwBNczv9/N///d/vPnmm+Tl5dX75RnuhGk/Khb9AAAUb0lEQVT9+vVYLBamTZtGamrN4b+bN2/G5XIxfPjwes9xqt87QghxOgvX905YE6YaQ7qqefnll1m6dOkplXU1mcqfUYdaT6OyPGuoVdwri02EKuPq8Xgwm831xjB8+HBWrlxJ165d68yDEkIIEZzf7yc3N7fB5CASnn32WZ5//nkMBgPJycns3buXTp06ER8fz8GDB3G5XHTu3Jk777wz7NceNWoUJpOJl156icmTJzNgwAAAiouLcTrLly+YPLn+4cHyvSOEEE0X7u+dNjMzMS4uDo1GQ3FxcdDtlcPpQg3Z69ChA0DI44uLixssKW4ymTjvvPMaG7IQQogKLd2zVOmNN96gQ4cOvP7663Tv3p2ZM2fSuXNnFi5cyP9v797DYsr/OIC/pzJaKiGsaSPLDkIhRWKT2IjJtZJcsjb1lEjWPss+bovH/rFbrsuSW5Itt7QkNpVFrYqWjafaqGXEbItklqamOb8/PHN+jZnpslsz08zn9Y/H93xn5nO+fed75nvO9yKRSLB582acPHkS/fr1a/HP7tq1K7788kts2LABs2bNgpeXF7hcLjIzM1FeXo6goCCMGjWqwfeg6w4hhPw7LXndaTMdJi6XCx6Pp3buiVAoRJcuXWBpaanyuK2tLZvvXX/99RckEgk794oQQoh+EAqFEAgE6NGjBwBgyJAhSE5OBvB25MHGjRuRl5eHw4cPY/To0S3++f7+/uDxeIiJiUFKSgoYhgGfz0dkZCQEAkGLfx4hhJCW12Y6TADg6OiIs2fPorS0VKFzIxKJUFZW1uAeTDweDzweDzdv3oRMJoOR0f9XysrJyQEADBs2rPWCJ4QQohX1FwKytbWFSCRCVVUVLCwsYGRkhDFjxuDy5cut9vlubm5wc3NrtfcnhBDSuowaz6I7pk+fDgCIjo6GTPZ26W2GYRAVFQUA8PPza/D13t7eePr0KeLi4tg0sViMvXv3wtTUFNOmTWulyAkhhGgDj8dDaWkp+3/51hLFxcVsmomJSaP7KhFCCDFcbeoJ0+jRo+Hl5YWUlBT4+flh5MiRyM/PR15eHjw9PTFu3Dg2786dOwEoLm0eFBSE1NRUbNmyBbm5ubCxscGlS5fw6NEjrF27VuVy5IQQQtouNzc3HD16FKdOncL06dNhZ2cHU1NTHDt2DCNGjEBVVRXS0tLYIXuEEELIuziMuqXt/oUBAwbA2dlZaaPAGzduIC8vD0uXLlW5kh6Hw0FYWFiTPqO2thb79u3DmTNnIBKJwOPx4O3tjaCgIIUlw/v37w8AKCoqUnj933//jaioKGRkZODNmzf48MMPsXjxYkyZMqW5p0sIIUTHvXjxAj4+Pnj8+DE2btwIX19fbN26FUeOHIGVlRUkEgnEYjHCw8MRGhqq7XAJIYTooBbvMP2rIDic/7TkeFvn5uamdlPC/fv34+OPP9ZwRERTpFIp4uLikJiYCKFQiG7dumHmzJlYsmQJ2rVrp+3wiAZt27YNe/bsUXnMy8sL0dHRGo5If4jFYsTHx+Pjjz/GgAEDUFNTg61bt+L8+fPgcrnw9vZGZGQkTEza1KCLBhlS21JRUYGdO3fiypUrePbsGTp16gQXFxcsX74cNjY2bL4TJ04o7Ycl5+DggMTERIW0zMxM7NmzB8XFxTA1NYW7uztWrlypckXd/Px8bN++HXfv3gWHw8GoUaOwatUqhc/XFc1pa5KSknD48GGUlZXBwsICkydPxrJly9CxY0el1+pjeclvvjckNjYWI0eOBGC4dUwkEsHLywvh4eEIDAxUOq4L9aikpARRUVHIz89HTU0Nhg4disjISAwaNKhJ59iiV4etW7e25NsZhMrKSjx9+hQODg4YO3as0nFtLcVLNOPrr79GQkICHB0dMX78eNy6dQs7duxAUVERduzYoe3wiAYVFhaCy+ViyZIlSsc++ugjLUSkP8zMzBTKlcvlYv369Vi/fr0Wo2pdhtK2VFRUwMfHB0+ePIGrqyu8vLxQWlqKc+fO4erVq0hISGBXyZWPOAkKCmL3ZpR7//33Ff5/7tw5rFy5EjY2NvD398eTJ09w5swZ5Obm4tSpU7CwsGDz5uTk4NNPP0WnTp0wY8YMvHr1CufOncONGzdw6tQpfPDBB61bCM3U1Lbmhx9+QFRUFPr374958+ahuLgYhw8fxu3btxEbG6swqkdfy2vp0qUq0589e4bjx4+ja9eu7P5qgGHWsX/++Qfh4eFqt+3RhXp0//59+Pv7QyaTQSAQgMPhIDk5Gf7+/oiLi4O9vX3jJ8oQrfr1118ZPp/PHDlyRNuhEA27efMmw+fzmfDwcEYmkzEMwzAymYz54osvGD6fz6Snp2s5QqJJ7u7uzPTp07UdhkGorq5mysrKGLFYrO1QWoUhtS1r165l+Hw+c/DgQYX0pKQkhs/nM8HBwWzavHnzGGdn50bfUywWM05OToyHhwfz6tUrNv3EiRMMn89nvvnmGzatrq6O8fT0ZEaMGME8efKETc/KymL69+/PhIeH/5fTaxVNaWuEQiFjZ2fH+Pn5MTU1NWz6tm3bGD6fzxw9epRN0/fyUiUkJITp378/c+3aNYV0Q6tjQqGQmTFjBsPn8xk+n88cOnRI6bgu1KNFixYxdnZ2zL1799i0oqIixsHBgZk5c2aTzrVNrZKnj+R3I5ry2Jfol2PHjgF4eweLw+EAeDs8NTIyEhwOBydOnNBmeESDxGIxHj9+TO1AC0pPT8fq1atRWFjIpjEMg++++w6jRo3CpEmT4OzsjIiICLx48UKLkbY8Q2pb0tLS0KVLFyxcuFAhfdq0aejVqxeuXbvGrqpbXFwMPp/f6HueP38eL1++RGBgIMzMzNj02bNno0+fPjh9+jTq6uoAANnZ2SgtLcXs2bMVniC4uLjA1dUVaWlpOlW/mtrWJCYmQiqVIjg4WGEIZ0hICMzMzBTqkD6XlyrJyclIT0+Hj48PXF1dFY4ZUh07fPgwBAIBCgsL1W7ArQv1qKysDNevX4eHhwcGDhzI5uXz+fD29kZBQUGTpgVRh0nLqMNkuPLy8tC5c2elxrVHjx6wtbVFbm6uliIjmib/UU/tQMtYt24dwsLCkJSUhD///JNNj46Oxv79+1FdXY3Ro0fDxcUFly5dwvz581FTU6PFiFuWobQtdXV1CA4OxtKlSxX2VpTjcrmora2FVCrF06dPUVlZ2aTvmLx85PNS6nN2dkZlZSX++OOPRvOOHDkSdXV1uHnzZrPOqzU1ta2Rn9e7i3i1b98eQ4cORWFhIV69eqWQVx/L610SiQTR0dEwNzdHZGSkwjFDq2OxsbGwtrZGXFyc2m15dKEeNZYX+P9+rA2hDpOWFRUVwdLSEidOnMCUKVNgb28PDw8P7NixQ68u4ERRTU0Nnj59yu4J8y5ra2tUVVXR3jAGQn7j5Pnz51i0aBGcnJzg5OSEZcuW4cGDB1qOrm1JT09HYmIiBg4ciJiYGHa7CZFIhIMHD4LD4WDTpk04cOAAYmJisHPnTpSUlCA2Nla7gbcQQ2pbjI2NsXDhQgQEBCgdu3//Ph48eIBevXqBy+Wy37Ha2lqEhobCxcUFw4YNw+LFi3Hnzh2F1z569AgAVE4cl8+LkO/t1VBea2trAG/vcOuKprY1Dx8+hJWVlcpJ+fLzakoZtPXyeld8fDzKy8vx2WefoXPnzgrHDK2Obdy4EUlJSRg+fLjaPLpQj1qq/KjDpEUymQwlJSWorKzEkSNH4OzsjNmzZ8PExAS7d+/GkiVLIJVKtR0maQWVlZUAAHNzc5XH5enyOy9Ev8kvtAcPHoSZmRl8fHxgb2+PixcvwtfX16BXEW2ukydPwtLSErGxsXB1dWUnXqempkIqlaJXr16YPXs2m9/DwwPDhw9HamqqtkJuUdS2vL22btq0CTKZDL6+vgD+/x378ccfIZFIMHPmTLi6uiI7Oxtz587F1atX2de/ePECXC4XpqamSu8tHyokn+AuL+/6k9HfzatLZd3UtqaysrLROiQvA30ur/rq6uoQGxuLjh07Yu7cuUrHDa2OjR07FsbGxg3m0YV61FDe5rSH+rOGqg4ZP348Hj9+3GCegIAAhIaGonfv3rCwsMDu3bvZP6ZEIsHy5cuRkZGB+Ph4LFiwQBNhEw2Sd4Trrw5TnzxdIpFoLCaiPcbGxrC2tsbWrVsVhg0kJydj1apVWLNmDc6cOaPFCNuOO3fuYNy4cQpj4AEgKysLHA4H48ePV3qNg4MDTp48qakQW5Whty0Mw2DdunXIzs7G4MGD2blNMpkM1tbWiIiIgLe3N5s/JycHgYGBWL16NS5fvoz27dtDKpU2ufxqa2sV0lXl1aXRIk1ta5pTBvpcXvWlp6ejvLwcixYtUvnjm+qYMl2oRy1VftRhagUTJkxodLiDvb09rKyscPbsWaVj7du3x1dffYWMjAycP3+eOkx6SH4HRf5Ffpf8y/vee+9pLCaiPeqWt/b29kZiYiJyc3Px4MEDheVriWovX75Ejx49FNJkMhk7nt3FxUXpNSYmJmq/i22NIbctUqkUa9euxenTp2FjY4Pvv/+e/UEUEhKCkJAQpdc4OztDIBAgKSkJOTk5GDt2LExNTZtcfg2Vty6WdVPbmuaWgb6WV31JSUkAwD61fBfVMWW6UI9aqvyow9QK1qxZ85/fw8bGBp06dYJQKGyBiIiuMTMzg5GRkdp9C+SPh9U9yiaGw87ODrm5uRAKhdRhagJzc3OlFaPu3LkDsViMdu3awcnJSek1ZWVlSvMR2ipDbVvevHmD5cuX48qVK7C1tcWhQ4eUOs7q2NnZISkpib3eWlhYQCKRoKamRumutLxc5eUnf9Lw6tUrWFlZNZhX19VvaywsLNQOU3q3DhlCeUkkEmRlZYHP5/+rdthQ65gu1KP6eRuLoSE0h0mLnj17hry8PDx58kTpGMMwkEgkShufEf3A5XLB4/HUdoiFQiG6dOkCS0tLDUdGNE0qleLOnTu4ffu2yuPV1dUAQG1BEw0ZMgRZWVnsUtLA280QgbdPl969k1hRUYFr165hyJAhGo2ztRhi2/Ly5UssXLgQV65cgZ2dHeLj48Hj8RTy3L17V+3qgPJhPvLvmHyjW1VlKE/r06dPs/NqW3PaGltbWzx79oxNq+/x48cwMjJC7969AehvedWXk5OD169fw9PTU20eqmPKdKEeyf/9r+VHHSYtysjIQEBAAA4cOKB0rKCgANXV1Rg8eLAWIiOa4OjoiIqKCnbVFzmRSISysjI4ODhoKTKiSTKZDHPnzkVQUBC7x4QcwzDIz8+HiYmJwv4RRD1fX18IhUJERkYiNzcXx44dQ0JCAjgcjtJqas+fP0dERASqq6sV5hy0dYbUtkgkEgQHB+P27dtwdnbG0aNH0bVrV6V8YWFhWLBggcrh8vLhmvLrraOjIwCo/PF748YNmJubo2/fvo3mzcnJgZGREezt7f/l2bWs5rQ1jo6OkMlkyMvLU8gnkUjw22+/oV+/fuw8QX0tr/rknUx5/KpQHVOmC/WosbwAMHTo0EbPhTpMWuTu7g5TU1OcOnVKYTlPsViMLVu2AIDKlViIfpg+fTqAt3vDyO+GMwyDqKgoAICfn5/WYiOaw+Vy4e7ujpcvX2Lfvn0Kxw4ePIji4mJMnTpV5SRjoszDwwMBAQFITU3FggULsHnzZtTW1sLf3x9ubm5svpCQELi7u+PmzZvw9PTEhAkTtBh1yzKktiUqKgr5+fkYNmwY9u/fr7TYh9ykSZMgk8kQHR0NhmHY9AsXLiAzMxNOTk7svlUTJkxAx44dERMTw66wBbxdgbGsrAw+Pj7svk/Ozs7g8XhISEhQuIOdnZ2N69evY+LEiejSpUtrnHqzNaetmTp1KoyNjbFr1y6FCfF79+6FWCxWqEP6Wl713bt3DwAwaNAgtXmojinThXpkY2OD4cOH4+LFi/j999/ZvMXFxUhOTsbgwYMb/LvKcZj6f1WiccePH8eGDRvQoUMHeHl5gcvlIjMzE+Xl5QgKCsLnn3+u7RBJK1qxYgVSUlJgb2+PkSNHIj8/H3l5efD09MT27dvB4XC0HSLRAKFQiDlz5qCiogKjR4/GgAEDUFBQgJycHPTr1w9xcXF6M8dGU3JycpCRkQGpVApXV1d2Pya5Tz75BGKxGAEBAQgJCWl0edy2xhDaloqKCri7u6O2thazZs1Cz549VeZbsmQJJBIJ5syZg/v378PBwQGOjo4oLS1FZmYmrKyscPz4cYV9WuTX5p49e2Ly5MkQiUS4cOECevXqhYSEBIUhjZmZmQgNDYW5uTkEAgFev36Nn376CWZmZkhMTFS5/4u2NKet+fbbb7F//3707dsX7u7uKCkpQWZmJoYPH44jR44ozDPR1/KSEwgEePjwodrhjABQVVVlsHXs9OnTWL16NVavXo3AwECFY7pQjwoKCjBv3jxwOBwIBAIYGxsjOTkZUqkUR48ebdITOuow6YArV64gJiYGBQUFYBgGfD4f8+fPh0Ag0HZopJXV1tZi3759OHPmDEQiEXg8Hry9vREUFKR2eU2in0QiEbZv345ffvkFlZWV6N69Ozw9PdkLAmlZYrFY7dMIfWAIbUtaWhrCwsIazZebmwsLCwtUVVVh165d+Pnnn1FRUQFLS0uMGzcOy5YtQ/fu3ZVel5KSgpiYGJSUlKBTp04YM2YMVqxYoTJvVlYWdu3ahXv37qFDhw4YMWIEIiMj2bkWuqSpbQ3DMIiPj0d8fDwePnyIbt26YeLEiVi6dKnKNklfywsAxowZAwC4du1ag/kMtY411GHSlXp09+5dREVF4datW2jXrh2GDBmCiIiIJs9fpQ4TIYQQQgghhKhBc5gIIYQQQgghRA3qMBFCCCGEEEKIGtRhIoQQQgghhBA1qMNECCGEEEIIIWpQh4kQQgghhBBC1KAOEyGEEEIIIYSoQR0mQgghhBBCCFGDOkyEEEIIIYQQogZ1mAghhBBCCCFEjf8BXB9AHSqPcjsAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pm.traceplot(model.trace);" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "ExecuteTime": { "end_time": "2018-10-10T21:10:47.512373Z", "start_time": "2018-10-10T21:10:46.652688Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pm.traceplot(model.trace, lines = {\"signal_variance\": signal_variance_true, \n", " \"noise_variance\": noise_variance_true, \n", " \"length_scale\": length_scale_true}, \n", " varnames=[\"signal_variance\", \"noise_variance\", \"length_scale\"]);" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "ExecuteTime": { "end_time": "2018-10-10T21:10:51.513853Z", "start_time": "2018-10-10T21:10:51.002197Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pm.forestplot(model.trace, varnames=[\"signal_variance\", \"noise_variance\", \"length_scale\"]);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Step 5: Critize the model" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "ExecuteTime": { "end_time": "2018-10-10T21:10:56.096718Z", "start_time": "2018-10-10T21:10:56.036063Z" }, "scrolled": true }, "outputs": [ { "data": { "text/html": [ "
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meansdmc_errorhpd_2.5hpd_97.5
signal_variance__01.0696521.4727900.0140720.0164413.442904
length_scale__0_02.2521742.2317190.0252610.1194576.266875
noise_variance__03.0669970.2313250.0022492.6223873.516474
\n", "
" ], "text/plain": [ " mean sd mc_error hpd_2.5 hpd_97.5\n", "signal_variance__0 1.069652 1.472790 0.014072 0.016441 3.442904\n", "length_scale__0_0 2.252174 2.231719 0.025261 0.119457 6.266875\n", "noise_variance__0 3.066997 0.231325 0.002249 2.622387 3.516474" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pm.summary(model.trace, varnames=[\"signal_variance\", \"length_scale\", \"noise_variance\"])" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "ExecuteTime": { "end_time": "2018-10-10T21:11:02.560589Z", "start_time": "2018-10-10T21:11:01.868449Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pm.plot_posterior(model.trace, varnames=[\"signal_variance\", \"noise_variance\", \"length_scale\"], \n", " figsize = [14, 8]);" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "ExecuteTime": { "end_time": "2018-10-10T21:11:07.985699Z", "start_time": "2018-10-10T21:11:07.972125Z" }, "scrolled": true }, "outputs": [ { "data": { "text/html": [ "
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ParameterPredicted Mean ValueTrue value
0length_scale2.2521741.0
1signal_variance1.0696523.0
2noise_variance3.0669972.0
\n", "
" ], "text/plain": [ " Parameter Predicted Mean Value True value\n", "0 length_scale 2.252174 1.0\n", "1 signal_variance 1.069652 3.0\n", "2 noise_variance 3.066997 2.0" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# collect the results into a pandas dataframe to display\n", "# \"mp\" stands for marginal posterior\n", "pd.DataFrame({\"Parameter\": [\"length_scale\", \"signal_variance\", \"noise_variance\"],\n", " \"Predicted Mean Value\": [float(model.trace[\"length_scale\"].mean(axis=0)), \n", " float(model.trace[\"signal_variance\"].mean(axis=0)), \n", " float(model.trace[\"noise_variance\"].mean(axis=0))],\n", " \"True value\": [length_scale_true, signal_variance_true, noise_variance_true]})" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Step 6: Use the model for prediction" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "ExecuteTime": { "end_time": "2018-10-04T05:00:47.345965Z", "start_time": "2018-10-04T05:00:14.145263Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|██████████| 2000/2000 [00:14<00:00, 135.47it/s]\n" ] } ], "source": [ "y_predict1 = model.predict(X_test)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "ExecuteTime": { "end_time": "2018-10-04T05:00:47.354788Z", "start_time": "2018-10-04T05:00:47.348497Z" } }, "outputs": [ { "data": { "text/plain": [ "array([ 0.00166453, 0.07415753, 0.07185864, 0.01505948, 0.02280044,\n", " -0.00041549, -0.02338406, 0.01753743, 0.02065263, 0.00825294,\n", " 0.02449021, 0.06761137, 0.04990807, 0.01614856, -0.03135927,\n", " -0.00813461, 0.04545187, -0.03770688, 0.06116857, 0.06864128,\n", " 0.04164327, -0.01700696, 0.01389948, -0.02395358, -0.01853882,\n", " -0.02147422, 0.05869176, -0.02825002, 0.01058576, 0.04180517,\n", " 0.01563565, -0.0086748 , 0.01048786, -0.02464047, 0.0639958 ,\n", " -0.02110329, -0.03658159, 0.0552832 , -0.00030839, 0.03097778,\n", " 0.00415975, 0.05252889, 0.00894602, 0.06400553, -0.05004306])" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "y_predict1" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "ExecuteTime": { "end_time": "2018-10-04T05:00:47.648096Z", "start_time": "2018-10-04T05:00:47.357019Z" } }, "outputs": [], "source": [ "model.score(X_test, y_test)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "ExecuteTime": { "end_time": "2018-10-04T05:01:24.614580Z", "start_time": "2018-10-04T05:01:23.746692Z" } }, "outputs": [], "source": [ "model.save('pickle_jar/gpr')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Use already trained model for prediction" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "ExecuteTime": { "end_time": "2018-10-04T05:01:56.024145Z", "start_time": "2018-10-04T05:01:39.793206Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|██████████| 2000/2000 [00:14<00:00, 136.18it/s]\n" ] }, { "data": { "text/plain": [ "-0.0049724872177634438" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "model_new = GaussianProcessRegressor()\n", "model_new.load('pickle_jar/gpr')\n", "model_new.score(X_test, y_test)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Multiple Features" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "ExecuteTime": { "end_time": "2018-10-04T05:02:09.642401Z", "start_time": "2018-10-04T05:02:09.638518Z" } }, "outputs": [], "source": [ "num_pred = 2\n", "X = np.random.randn(1000, num_pred)\n", "noise = 2 * np.random.randn(1000,)\n", "Y = X.dot(np.array([4, 5])) + 3 + noise" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "ExecuteTime": { "end_time": "2018-10-04T05:02:10.536034Z", "start_time": "2018-10-04T05:02:10.533247Z" } }, "outputs": [], "source": [ "y = np.squeeze(Y)" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "ExecuteTime": { "end_time": "2018-10-04T05:02:16.481686Z", "start_time": "2018-10-04T05:02:16.479032Z" } }, "outputs": [], "source": [ "model_big = GaussianProcessRegressor()" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "ExecuteTime": { "end_time": "2018-10-04T05:12:21.180300Z", "start_time": "2018-10-04T05:02:20.119524Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Average Loss = 6,077.1: 100%|██████████| 1000/1000 [02:17<00:00, 7.11it/s]\n", "Finished [100%]: Average Loss = 6,056.9\n" ] }, { "data": { "text/plain": [ "GaussianProcessRegressor(prior_mean=0.0)" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "model_big.fit(X, y, inference_args={\"n\" : 1000})" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "ExecuteTime": { "end_time": "2018-10-04T05:12:21.239231Z", "start_time": "2018-10-04T05:12:21.183410Z" } }, "outputs": [ { "data": { "text/html": [ "
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meansdmc_errorhpd_2.5hpd_97.5
signal_variance__05.4209724.0492280.0413860.63551012.967287
length_scale__0_02.4605462.0340250.0219390.1922836.279051
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" ], "text/plain": [ " mean sd mc_error hpd_2.5 hpd_97.5\n", "signal_variance__0 5.420972 4.049228 0.041386 0.635510 12.967287\n", "length_scale__0_0 2.460546 2.034025 0.021939 0.192283 6.279051\n", "length_scale__0_1 2.437830 1.994458 0.018703 0.267447 6.202378\n", "noise_variance__0 7.173519 4.732447 0.042548 0.936711 16.368718" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pm.summary(model_big.trace, varnames=[\"signal_variance\", \"length_scale\", \"noise_variance\"])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## MCMC" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Perform inference" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "ExecuteTime": { "end_time": "2018-10-04T05:18:54.716175Z", "start_time": "2018-10-04T05:12:21.241960Z" }, "scrolled": false }, "outputs": [], "source": [ "model2 = GaussianProcessRegressor()\n", "model2.fit(X_train, y_train, inference_type='nuts')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Diagnose convergence" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "ExecuteTime": { "end_time": "2018-10-04T05:18:54.717700Z", "start_time": "2018-10-04T05:02:33.428Z" } }, "outputs": [], "source": [ "pm.traceplot(model2.trace, lines = {\"signal_variance\": signal_variance_true, \n", " \"noise_variance\": noise_variance_true, \n", " \"length_scale\": length_scale_true}, \n", " varnames=[\"signal_variance\", \"noise_variance\", \"length_scale\"]);" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "ExecuteTime": { "end_time": "2018-10-04T05:18:54.718981Z", "start_time": "2018-10-04T05:02:36.276Z" } }, "outputs": [], "source": [ "pm.gelman_rubin(model2.trace, varnames=[\"signal_variance\", \"noise_variance\", \"length_scale\"])" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "ExecuteTime": { "end_time": "2018-10-04T05:18:54.720199Z", "start_time": "2018-10-04T05:02:37.300Z" } }, "outputs": [], "source": [ "pm.energyplot(model2.trace);" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "ExecuteTime": { "end_time": "2018-10-04T05:18:54.721744Z", "start_time": "2018-10-04T05:02:40.755Z" } }, "outputs": [], "source": [ "pm.forestplot(model2.trace, varnames=[\"signal_variance\", \"noise_variance\", \"length_scale\"]);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Criticize the model" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "ExecuteTime": { "end_time": "2018-10-04T05:18:54.723341Z", "start_time": "2018-10-04T05:02:42.291Z" } }, "outputs": [], "source": [ "pm.summary(model2.trace, varnames=[\"signal_variance\", \"length_scale\", \"noise_variance\"])" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "ExecuteTime": { "end_time": "2018-10-04T05:18:54.725001Z", "start_time": "2018-10-04T05:02:43.475Z" }, "scrolled": true }, "outputs": [], "source": [ "# collect the results into a pandas dataframe to display\n", "# \"mp\" stands for marginal posterior\n", "pd.DataFrame({\"Parameter\": [\"length_scale\", \"signal_variance\", \"noise_variance\"],\n", " \"Predicted Mean Value\": [float(model2.trace[\"length_scale\"].mean(axis=0)), \n", " float(model2.trace[\"signal_variance\"].mean(axis=0)), \n", " float(model2.trace[\"noise_variance\"].mean(axis=0))],\n", " \"True value\": [length_scale_true, signal_variance_true, noise_variance_true]})" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "ExecuteTime": { "end_time": "2018-10-04T05:18:54.726191Z", "start_time": "2018-10-04T05:02:49.211Z" } }, "outputs": [], "source": [ "pm.plot_posterior(model2.trace, varnames=[\"signal_variance\", \"noise_variance\", \"length_scale\"], \n", " figsize = [14, 8]);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Use the model for prediction" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "ExecuteTime": { "end_time": "2018-10-04T05:18:54.727197Z", "start_time": "2018-10-04T05:02:58.910Z" } }, "outputs": [], "source": [ "y_predict2 = model2.predict(X_test)" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "ExecuteTime": { "end_time": "2018-10-04T05:18:54.728348Z", "start_time": "2018-10-04T05:02:59.637Z" } }, "outputs": [], "source": [ "y_predict2" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "ExecuteTime": { "end_time": "2018-10-04T05:18:54.729536Z", "start_time": "2018-10-04T05:03:05.390Z" } }, "outputs": [], "source": [ "model2.score(X_test, y_test)" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "ExecuteTime": { "end_time": "2018-10-04T05:18:54.730819Z", "start_time": "2018-10-04T05:03:09.605Z" } }, "outputs": [], "source": [ "model2.save('pickle_jar/gpr2')\n", "model2_new = GaussianProcessRegressor\n", "model2_new.load('pickle_jar//gpr2')\n", "model2_new.score(X_test, y_test)" ] } ], "metadata": { "kernelspec": { "display_name": "Python [conda env:pmlearn]", "language": "python", "name": "conda-env-pmlearn-py" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.6" }, "toc": { "base_numbering": 1, "nav_menu": {}, "number_sections": true, "sideBar": true, "skip_h1_title": false, "title_cell": "Table of Contents", "title_sidebar": "Contents", "toc_cell": false, "toc_position": { "height": "calc(100% - 180px)", "left": "10px", "top": "150px", "width": "177.6px" }, "toc_section_display": true, "toc_window_display": true } }, "nbformat": 4, "nbformat_minor": 2 }