{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Markov Chain Monte Carlo (MCMC)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "GPflow allows you to approximate the posterior over the latent functions of its models (and over the hyperparameters after setting a prior for those) using Hamiltonian Monte Carlo (HMC)." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import gpflow\n", "from gpflow.test_util import notebook_niter, is_continuous_integration\n", "import matplotlib\n", "%matplotlib inline\n", "matplotlib.rcParams['figure.figsize'] = (12, 6)\n", "plt = matplotlib.pyplot\n", "from multiclass_classification import plot_from_samples, colors" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In this notebook, we provide three examples:\n", "* [Sampling hyperparameters in GP regression](#example_1)\n", "* [Sparse Variational MC for multiclass classification](#example_2)\n", "* [Fully Bayesian inference for generalised GP models with HMC](#example_3)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "## Sampling hyperparameters in GP regression" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We first consider the GP regression (with Gaussian noise) for which the marginal likelihood $p(\\mathbf y\\,|\\,\\theta)$ can be computed exactly.\n", "\n", "The GPR model parameterised by $\\theta = [\\tau]$ is given by\n", "$$ Y_i = f(X_i) + \\varepsilon_i$$\n", "where $f \\sim \\mathcal{GP}(\\mu(.), k(., .))$, and $\\varepsilon \\sim \\mathcal{N}(0, \\tau^2 I)$.\n", "\n", "See [Basic (Gaussian likelihood) GP regression model](../basics/regression.ipynb) for more details on GPR and for a treatment of the direct likelihood maximisation.\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Data for a one-dimensional regression problem" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "N = 12\n", "X = np.random.rand(N,1)\n", "Y = np.sin(12*X) + 0.66*np.cos(25*X) + np.random.randn(N,1)*0.1 + 3\n", "plt.plot(X, Y, 'kx', mew=2)\n", "plt.xlabel('$X$')\n", "plt.ylabel('$Y$')\n", "plt.title('toy data')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### MCMC for hyperparameters $\\theta$\n", "\n", "We now want to sample from the posterior over $\\theta$: \n", "$$p(\\theta|\\mathbf{y}) \\propto p(\\mathbf{y}|\\theta)p(\\theta)$$\n", "\n", "Firstly, we build the GPR model:" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "gpflow.reset_default_graph_and_session()\n", "k = gpflow.kernels.Matern52(1, lengthscales=0.3)\n", "meanf = gpflow.mean_functions.Linear(1.0, 0.0)\n", "m = gpflow.models.GPR(X, Y, k, meanf)\n", "m.likelihood.variance = 0.01" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Secondly, we initialise the model to the maximum likelihood solution:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "log likelihood at optimum: -7.156391632101176\n" ] } ], "source": [ "gpflow.train.ScipyOptimizer().minimize(m)\n", "print('log likelihood at optimum:', m.compute_log_likelihood())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Thirdly, we add priors to the hyperparameters:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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classpriortransformtrainableshapefixed_shapevalue
GPR/kern/lengthscalesParameterGa(1.0,1.0)+veTrue()True0.07516823547983985
GPR/kern/varianceParameterGa(1.0,1.0)+veTrue()True0.7246867030866287
GPR/likelihood/varianceParameterGa(1.0,1.0)+veTrue()True1.0002129434406357e-06
GPR/mean_function/AParameterN(0.0,10.0)(none)True(1, 1)True[[-0.45633325786889056]]
GPR/mean_function/bParameterN(0.0,10.0)(none)True()True3.2948353412032207
\n", "
" ], "text/plain": [ " class prior transform trainable shape \\\n", "GPR/kern/lengthscales Parameter Ga(1.0,1.0) +ve True () \n", "GPR/kern/variance Parameter Ga(1.0,1.0) +ve True () \n", "GPR/likelihood/variance Parameter Ga(1.0,1.0) +ve True () \n", "GPR/mean_function/A Parameter N(0.0,10.0) (none) True (1, 1) \n", "GPR/mean_function/b Parameter N(0.0,10.0) (none) True () \n", "\n", " fixed_shape value \n", "GPR/kern/lengthscales True 0.07516823547983985 \n", "GPR/kern/variance True 0.7246867030866287 \n", "GPR/likelihood/variance True 1.0002129434406357e-06 \n", "GPR/mean_function/A True [[-0.45633325786889056]] \n", "GPR/mean_function/b True 3.2948353412032207 " ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "m.clear()\n", "m.kern.lengthscales.prior = gpflow.priors.Gamma(1., 1.)\n", "m.kern.variance.prior = gpflow.priors.Gamma(1., 1.)\n", "m.likelihood.variance.prior = gpflow.priors.Gamma(1., 1.)\n", "m.mean_function.A.prior = gpflow.priors.Gaussian(0., 10.)\n", "m.mean_function.b.prior = gpflow.priors.Gaussian(0., 10.)\n", "m.compile()\n", "m.as_pandas_table()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We now sample from the posterior using HMC:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "sampler = gpflow.train.HMC()\n", "samples = sampler.sample(m, num_samples=gpflow.test_util.notebook_niter(500),\n", " epsilon=0.05, lmin=10, lmax=20, logprobs=False)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Next we display the sampled hyperparameters:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'parameter value')" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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J06ZNS8zNzQ3My8vTarXaaYmJicmTJk1KWbduXTjAzxgjLI+JiUlZtWpVpPP2LBYLkZycnFReXi6fPHlyylCN++uvv/ZbunRp775WA6S6ulq2aNGiSYMxptGIJCDB90Izd9vQ1WKCrtWEjiYj/ALkMOltMI7S/EHGxoKWk5ApaLAM1+tBUHi4FtXnWlF8/PIwjVBCQmKoEJxDkvIlhE25hbB7ciCHy4FsrTfgo00/YNfWAux+/cdhGYNE37Asi+zs7Lg5c+YY6uvri4qLi0t37tx5qa6uTg7wUxaWlZWVnDlzpnTXrl3B+fn5auflRUVFJYcPHw44dOiQn7DNQ4cOaWbMmHFNVZ82W/+mSF5eXsCiRYuuqZm2zWbDxIkTbQcOHLh0LdsZzUgCEnyiuICulW+EHzRe0+t3owm7zQ6KJiFTOvq8uYWxhZkqfAlxSUhIjC7sdo7v/0r6KiBHlgMpFP75h6gkB3KEsm/fPq1MJuM2bNjQIiyLj4+3bty4sdl5PX9/fzY1NdVYVlbmUs2l0Wi4lJQUU21trVxYtn//fv/Fixe7zHPtmO4v+ejRo2qGYfD4449HTpkyJSk+Pj75T3/601iAdzanT5+eMG/evLjJkydPKS8vl0+aNCll6dKlE+Li4lJmz5492WAwiBfDsWPHtNnZ2fqpU6cmFhQUiNP6zZw5M+HYsWPqI0eOqKdNm5aYlJSUnJ6ennj27FkFAOTk5ATPmzcv7rbbbovPzMxMcHZKy8vL5dOnT09ITk5OSk5OTjp8+LCfMLaZM2cmLFq0aFJMTEzK3XffHSNMl3j06FF1enp6YkJCQnJqampSR0cH6e0YRyJSFTZcqw51rfwUmSqtjP8dOzpzgHgHkoLcISCtZgZKjUz8vXDMvjgUEhISIwvWzqLxYhcYhkVwhAaaMa6V1izDgvTx5VDWVxHNMDmQwhi0QQoYOsz9rH2Ts/upKDSXqAd1m+OSjbjnb3V9rVJUVKRKS0sz9reppqYmqrCw0G/Tpk0NTU1N4kOopaWFqqqqUixcuFAvLMvPz/fftm1bY0NDAw0AZ8+eVSxdujT23XffrZo1a5bp1VdfHRsQEGA/f/58qclkImbMmJGYnZ2tA4CSkhJ1YWFhcWJiorW8vFxeW1ur/OCDDy5lZmbWLF68eFJubu6YJ598sr2xsZGmaZoLDg62/+xnP2v/8MMPgzIyMhpqampkzc3NsjvuuMPY3t5Onjp1qkwmk2H37t3aDRs2RB48eLASAIqLi9Xnzp0rDg0NtZeXl4viNyIigjl+/HiFWq3mioqKFMuWLZt0/vz5UgAoLS1VnTlz5tLEiRNt06dPTzx8+LBm7ty53Q899FDshx9+WDl37lxje3s7qdFo2D//+c8ejzExMXHEvUlJAhKOGVsc6Nr4m5XKMW+sfdQ6kCzvQCr4P7HN4uZAOo6ZG536WELipqa6qA1fvlUEAAiN8cfPn3OZ6Q52OwfKx5dDWk65tPoaCUU0QuRHoZaBZTiwdhakD/mcEsPHww8/HH3y5EmNTCbjtm7dWl9QUKBJSkpKJkmSW7NmTVNGRoY5Ly9PVlBQoElISEiura1VrFy5sjk6OpoBgKqqKllgYCCj1WpZAGhvb6fvueeeuF27dlVOnz7dDABfffWVf1lZmXrv3r1jAECv11MlJSVKuVzOpaWldTuLrPHjx1syMzNNAJCenm6srq5WAMCePXv8582bpwOARx55pGPBggXxb7zxRkNubu6Y7OzsDse+qQcffDCmurpaSRAEZ7PZxItpzpw5utDQ0F6VqVarlVi5cuWEkpISFUmSqKmpEd/qUlNTu2NjY20AkJKSYqysrJSPGTPGPm7cONvcuXONABAUFMT2dYySgByhsE43TL3DgVQ7BCQ7SttYCDmQPQ6k20wTDgfS5qHARmL0om834/iOCgSOUyPzvrjhHo7EIHPs43JcKGhGyAR+ZpmJaWNRe74NjM0OWkaJ69kZ1uf0FFpOukxl6Jy2M1whbGG/SjX/iGKsLOQqSUB6pB+ncKhITU017dmzZ4zw8/vvv1/b2NhIZ2RkJAF8ruORI0cuun9OWF5WViafPXt20vLly9szMzNNu3fvDpg/f76Yl6jVau0RERHWI0eOaAQByXEc8dprr9Xed999LmHuvLw8rVqtdjlZ5XK5eCJTFMWZTCYSAA4cOBCwfv36JgCIiYmxBQYGMj/88IPqX//6V9Bbb71VAwDPPffc+Llz5+oPHz5cWV5eLp83b544lZv7fgReeuml0HHjxtk+++yzKpZloVKppgu/UygUzmMBwzBe3+68HeNIRLoi0SOmAGcHUtbrd6MJ0YFUOhxIs6tQFKrLpR6RNxaXKzpQdbYVhYdrwXGj89yV8M7FwhaYu224XNYBAIhJGwuW5dDqNtsUH8L2zYGkZCTsI6yNjzAGhZq/D9us0n1qpJGdna23WCzEK6+8EiIsMxgMPmuKxMRE6+rVqxu3bNkSBgCHDh3yv/vuu0XRJJPJuC+//LLy448/Dn7rrbeCAGDBggVdb775ZojFYiEA4Ny5cwqdTufzPlmWRWlpqWrWrFkmYdl9993X/vLLL4fp9Xrq1ltvNQGATqejIiMjrQDwj3/8w6ccxK6uLio8PNxGURT+/ve/B9vtfZ+zaWlp5ubmZtnRo0fVANDR0UHabLZrPsbrieRAwi0Hsk3IgXQ4kPZR6kBa7VBqZF4dSKF9z2ALSF2rCd/kloKxsZiYGoyMxTGDun2JvrGanGYUYX0PY96osCwHxmqHXDn6b3UWEwOTo6CEZfl7VsTkQABA6YlG6NvM0AYpETYpAHaG86mFD8AX0jkLxZGUA6nwExxISUCONEiSxL59+yqfeuqpqJycnLCgoCBGrVbbN23a5PP80OvWrWuZNGlSWHFxsaK6ulqZnp7ukvDq7+/PHjx48OKdd94Zr9Vq7c8880xrdXW1IjU1NYnjOCIoKMi2f//+Sl/3l5+fr54yZYqRJHuujRUrVnT87ne/i16zZk2DsOy5555reuyxx2JeeeWViAULFnT6su3f/va3zffdd1/sJ598Ejxv3rwulUrV58WjVCq5Dz/8sHL16tXRZrOZVCqV7LFjxyqu9RivJ6P/rjoION8wLd0MQEAsOBm1VdiMkAPpqMJ2C1Wbux0O5CD3uawtbsPlik6otDKUft8kCcjrjPPf025jfRYRNyp528+irqQd83+ZhITbwod7ONdEZ5NbvQIBBIxTQRusRMnxBpQcbwBBEnjs9Tl8zqCvIWyadJlxZiRUYfdyIC2j80X+RmfChAm2vLw8j21slixZove0zHm5RqPhmpubzx08eFCTnp4u2ugJCQnWCxcuFAPA2LFj7UIxCgBs3779MoDLfW3X+fMAsHnz5isAsGHDhvCsrCyX9j1RUVEMwzCnnZfNnz+/u7q6+rzwc05OTgMArF69ug1Am6f9pKamWioqKkqE37355puXPY0tNze3Vvj33LlzjWfPni1z/548HeNIRBKQcE7YpmExMpAradAy/uZrH7UOpFCFzf+JezmQBt7JcC+uuVbaGrohV1KIvWUcLhRcGdRtS/SP1SlVYbS+/AwmXc286OpsNvWz5sin40o3AIAgCXAsB1pGgiAIPLhxBrq7rKgtbsN3uy5C327mHUgfQ9ikjHTt/TgSBKSNH4/SjxeQkgN5Y5OVlWXIysq6pv6PvrBt27bGod7HzcSw2xMEQVAEQRQSBJE3XGMQWvUIYWuFmhYr/tjRmgPJ8DPReOoDyXEc77Ri8B3I9oZuBEVooPSTwWJkwLGj8/sbrTi/KAznLCIjBaHLwHCFYgeTziYjCJJA8Hi+7zIt569thVqGoHA/hMYEAAD0bWawAyiioWgSrM1LEc1wh7AdRTRSDqSExMhjJDiQawCUAvC/3jve8+dCdDWbkJjJh7ZUWhk6rwgCkn97H7VV2FYWtIwERZOgZCR+2HcJp76o4n/J9eRQWc3XLiA5joPZYAPHAW0NBsTdMo6/8XP89oUwlMTQ4/xCcCOIpmtFiCDYR7kAYe0sLpxuxrgJWjE6QstdBaI2iO+HbOiwwG5nfe7xStEkWJYDx3IgSGJkOJBuAtK5T+WQw3HAlWKAsfQsU2iAkATvn5GQuAkZVgFJEEQkgJ8CeAnA2uu9/3pHJSPLsCBJQhQ6ChUtvr2P1ipsxuFAAsC8hxPR1tDt8nuSItB4sQuG9mtv0lt4uBbf/6snxzd4vEZ0RyzG6yMg68vaoW83Q+2vwIQpwUO+v5GK8wuB5ED2RBBGq5g+/G4xas63gWM5WM12ZP4sFqXf8VE4mZxyWVcdIAdJEg4HkhOv//4QQt12hk97GSlFNBRNivcRZpBTbfrk4tfAh/f1Xv7rfCAs9fqNQ0JihDPcDuSfAWwAoPW2AkEQqwCsAoDo6OghGYTdzoGkCfENXhOk7HEgR6GA5DgOdqtddCriZ4Z5XO/bj8rR3nDtaSe6VjNkSgqz7okFRZOIyxgninNztw3+Y1XXvI++sJoZ7P3LGQhda375ymz4BSj6/tANiksRjSQgR72ArCtth2aMEhHxgVBr5Zg0NQQXTvEzxdFuApIkCWiCFI4cSBZylW+3d+FlWZi9Ssg/BIY3hE3ShOiyXtcQdpejxuFn7wDKQKC5BPjq/weMbX1/TkLiJmPYBCRBEEsANHMcd5ogiDu9rcdx3NsA3gaAjIyMIVFzwiwHs38eh+TbIxAYqgLjqPobjQ9hluXAcRAFpDfkSmpQ2vgwVjuUfjKk3hkpLlM62m9YjEPfqNzYZQXHAdEpwagtboNRZ72JBaQdJE2AZbhRee4ONkIbrtFYhMGxHMzdDJJvj8Bt/xErLpc5RJWn61szRokLp/jitZipvk2hKxYMOs4XIexPkMQwCkjOpYvEdf37Gdv5/yfdDciUgMrRK5sZcROBSEgMK8NZRDMbwN0EQVQD+ATAPIIgPhiOgbCOikWKJjE2UgNaRolNeEdjJavdkS9Eyag+15MrKdhtLL76Zwm+es/1v6/fK8GVat8a4TNWey83RAhbCwLS3G1DdVEraorbBr3yu7uLz1UKncgb2WaDbVC3P5qwmhlxFqWBPPxZO4uWWj2aa3Q+/9fV0u80uMNOfw7kD3sv4e01R/H2mqP453P50PeT0mHosKDzivG6OGIWE1+EptLIXZbTDlHlngMJANEpQeK/fQ1hC+1+RAHp+L9fgNxlisPriVAEJITpB/ue0SemDkCm5sUjANCO798uCUh36urq6Ozs7JjIyMjUlJSUpGnTpiXm5uYG5uXlabVa7bTExMTkSZMmpaxbty4c4GeMEZbHxMSkrFq1KtJ5exaLhUhOTk4CALVanQ4A1dXVskWLFk0CgJycnOBHHnnE51Ck8/rbtm0L2b59ezAAzJw5M+HYsWODO3+4h+2+8MILYW+++WZQX5/xhQ8//DDghRde8BxKHEaGzYHkOO6/APwXADgcyGc5jlsxHGOxe5hnVeifNxrb+AgPy/4cyPDYQASEqNBwsXef1O4OCwiSQOjE/mubGCsruiICgoAUGpZ/9+kFlP27CQAwMzsGM346eP0hBQEZHKnh9zmEAvLHgzXQtZoQlxEKtT//YKFoAv5jVSCI4W/abTUz0AYp+UKKATiQZ76qw/efD7xX7Yo/zEJAyNCmKFwN+nYz6kraewSkF8HXdKkLciWF8LhAXDzdjK4Wk5jK4k7Z9434+v/4dnSRiWPwH79NH5Kxmw02fL+7ElPuGA+gpyetgPCy5v7SBgDTF01EQ0UnakvaB9RIHOh5WRZmsdGMUcDQaenro0MGnwNJ8CKYuM5FNKbOHtcRAChJQHqCZVlkZ2fHLV++vG3fvn1VAFBRUSH/9NNPA4OCgkzClIU6nY5MTU1Nvvfee7uAnqkMDQYDkZqamnzo0KGOhQsXdgPAoUOHNDNmzHDJq5o4caLtwIEDHntNDoQNGza0XOs2BsrXX3/t//nnn1/T2G02Gx566KEuAF39rnydGe4cyBEB66Fn2mjOgWQc05L150CMTxiDFX+Y5fF3n20rEKd17Hd/nhxIMYTNi7nLFZ2ITg5Cc40eho6reygZdVZUnW0Bx/F/n0nTQqD0k6G7k7+xB4/nBaRpiASk3c6KIqsUcv7NAAAgAElEQVT4eIPL7xY+loLJGaFDsl9f4TgOVpNdbEdlH4B73tVshMKPxk9+kezT+i21epzKq4JJbx2RAnLvX86g80qPQ+rNjWWsLMaE+2HqT6Jw8XSz1/VsFjvyd11AaIw/CAJXfQ77QuHhWpTkN8DiePlSuQlIMYTtQUACgDqQT9/weSpDdwfSxoeP/QKVaLs85K35PCIU0RAEAVpOXd8cSFM7oHIyjSQB6ZF9+/ZpZTIZ5yzM4uPjrRs3bmzOy8sT6xr8/f3Z1NRUY1lZmSIsLEzMadJoNFxKSoqptrZWDqAbAPbv3++/ePFil9BXeXm5fMmSJZOdG4MDwCeffBKwdevW8C+//PIix3F49NFHJ1y+fFkOAK+//nqtIEoF1q5dG6HRaOxCU/GPP/54zFNPPTVBr9dTb731VvWiRYsMRqOReOSRRyacO3dOTVEUtm3bVpedna33ttxgMBBLly6NKSkpUcXGxprNZrN40bW3t5M2m41UKBRcREREal1dXRFFUdDpdGR8fPyUmpqaou3btwf/85//DLHZbMTEiRMtu3btqtJqtex99903UaFQsOfPn1fPnDnTkJaWZiooKPDLzc2t/eijjwK2bt0abrPZyDFjxjA7duy4FBUVxaxduzairq5OXlNTo2hoaJD/+te/vvLiiy82A8D27duDc3JyQgmCQFJSkmn37t1VDQ0NdH/fWX+MCAHJcdy3AL4drv0zVnsvB5IgCRAkMSrb+Nh9dCD7QhuswpUq3154bFZWzHkUEFoIWYwMDB0W6NvNmPqTKBg6LVftEJ75qhaFh8Qm/jj1RRWCIzSoOd8GWk7CP1gJED2u52Aj9NK89e4YjAnzE1shffN+GRoru4ZdQDI2lg95CvO4DyCE3a2zQhukREyab3lzcgWFUxi5xSndbs6ZzYuDxdj4KT8ptzxAdwwdZli6GaTOHY/LFZ2oLR66ggq5iheGrQ7x5t2B9Hx9+wXwgockfZ8LG+D/ljaLHfXlHVBr5dAEKVBT1AqO4667u253qiKXycnr7EB2AKrAnp9HuID83Xe/i7rYcXFQw7FxY+KMf5j9h7q+1ikqKlKlpaX1m8fS1NREFRYW+m3atKmhqalJPJlbWlqoqqoqxcKFC8VZWvLz8/19afadm5sb+Je//CX08OHDF0JCQuzZ2dkxa9euvZKVlWW4cOGCPCsra/KlS5eK+9oGwzBEUVFR6Y4dOwI2b94csWjRoopXXnllHEEQqKioKCksLFQuXrx4cmVl5Xlvy1999dVxKpWKvXTpUvEPP/ygmj17tvgGvm/fPv877rhDFxwcbE9KSjLu379fm52drd+xY0fA3LlzuxQKBffQQw91rFu3rhUAVq9eHZGTkzN248aNzQDQ2Ngo//HHH8tomkZOTo7YWmTBggWGpUuXlpEkiddff33s5s2bw9555516ALh48aLyxIkT5Z2dnVRSUtKU9evXtxQVFSleffXV8O+//74sPDycuXLlCgUAjz/+eNRAvzN3RoSAHG6sZsZjzzSKIkZNGx+jzoqyfzeCYzkYHfPl+poD5Qn/sUpcPN0sFhj1hd1mBy13LVohCAIKNY2yfzehuoh/2IbFBuDSmRaYDFd3I+aLY+S4/4UZaG/sRsEX1WhzVJFTMhIkRUKhpocshC3kYakDFIi9ZZy4vOjberTU9Jq167ojVGD3OJC+P3SNXVao/X0vPBJFxwgtTuE41+vWbrOD4/hrQ6WVi+KKn7GJ7OXCuSO4uZSMgkxBeRWkg4Ewe1SXY/YcdwEpU3gPYQMQC8h8nSSAdhx75xUjdm0tAAAsWJkMY5cVjI2FxciIM8IMFS21eny65RQefikT2iCl6EAC/HFe1zY+xnbXno+047pghiecP1p4+OGHo0+ePKmRyWTc1q1b6wsKCjRJSUnJJElya9asacrIyDDn5eXJCgoKNAkJCcm1tbWKlStXNkdHRzMAUFVVJQsMDGS0Wm2fF9d3332nPXv2rPrIkSMVQUFBrGOZ/4ULF8RQiMFgoLq6uvp8cN1///0dAJCZmdm9fv16OQCcOHFC85vf/KYZANLT080RERHWoqIipbfl+fn5mtWrVzcDwK233mqKj48XBfWBAwcCVq5c2Srs6+OPPx6TnZ2t37lzZ9CTTz7ZAgCnT59W/f73vx+v1+up7u5uau7cuaJr87Of/ayDpntLtKqqKvk999wT2dLSIrNarWRUVJR4Yi5cuLBTpVJxKpWKCQoKstXX19MHDx70z87O7ggPD2cAIDQ01N7XdxYQEODzzU0SkOBn7/A0awNJk2IV50in+PhlnNxXJf5M0sQ1hRb9g1XgWA6GDku/bXhsjqbl7qTNi8TlCj6/MnSiFiFRGqg0MrQ3DsglFzF326Dyl8MvQAG/AAWiEoNwpVqHXVsLxJl1lH4ycZrGwUZwIIUHuEBItBYl+Q1gWc5n12coEAWkQ3AMSEDqrGIOqS8I7tdIrfTm3IbFWFmc+qIap/KqkHBrGOY/muxYbhfdcsC7ayscJyUjQSso2Cz2IXPm3F3dXkU0fVRhA4CfI4TtayoHJeOPQQj5p84dj8kZoaj8kY9MGjrMQyIgGy92ovBwrbhvjgNqiloxZW4kP4+7k4As/6EJs34We326K5g6ALVzCNtx7PaRWZzXn1M4VKSmppr27NkjJou+//77tY2NjXRGRkYS0JPr6P45YXlZWZl89uzZScuXL2/PzMw07d69O2D+/Pn9hr0mTJhgqa2tVZw/f155xx13GAH+hfHHH38sVavVPjs+SqWSAwCapmG32wf9Qi4sLPS78847awBg2bJlnX/4wx/GX7lyhTp//rw6OztbBwCrVq2K2bVr18VZs2aZcnJygo8ePSqG/jUajceb0dNPPx29Zs2apoceeqgrLy9Pu3nz5gjhdwqFQjx+iqLAMIzX47qa78ydYZ/KcCRgNXl2IEmKGDVV2LpWE/wCFXj8r3Px+F/nYtVf5mJspNf2mv2iHcsXEviSB+kpBxLgE/rvXj0Nd6+ehp/8IhkkRUKplV91iNlssPXKBxs3gT/G8Qn8fUylkQ1ZDqTgQHoSkIyVFeddHi6ElkyqAVZhcywHk84qFgX5Ai0T2quMUAHp5EBSNAnGxqKziX9x6WrpmRdbmDPevZWNO0IqC0UTkCkocCw3ZPcGZ1eXkpG9QtV9FdEAPQ6kr9eZUIUtXDeJmeEgCL6IBgC+yS0bkmLCC6ebUX2uFTVFbeho4q8dIeIjFNEAQOA4/gW26Nv6QR9DLzjOEcL2VEQjOZDOZGdn6y0WC/HKK6+ECMsMBoPPmiIxMdG6evXqxi1btoQBwKFDh/zvvvvuflt/REZGWj/99NPKRx99NKagoEAJALfffrtuy5YtYljoxIkTV+WezJ492/DBBx8EAcC5c+cUjY2N8rS0NLO35bfffrvhww8/DAKAU6dOKSsqKtQAUFBQoIyLizMLDmJAQACblpbW/fjjj0f/5Cc/6RKWG41GMjo62maxWIhPPvnEp2ptvV5PRUdH2wDgvffe63fWjKysLN2+ffvGNDU1UQAghLAH4zuTBCT4B6/3EPbIfEC6o2s1w3+sErSMAi2jfK7A9EbPtGi+CEjWaz6WOyqNjJ/28CrmyDYZbFC6uTEEQeCxN+7AkqfTAABKTY9A5ThuUPMhbRbe4ZMrXR/cgkN0PXpe9oUwC416gCFss9EGluUGJCDFnMERmgPpnHoiV1FgrHZRIDm3hBFefvoPYQsCcuhbyzhvV6WR9XI5Zf3kQKr8HR0QfHUgHcdudrTsEULoQRH8nNsttXq0X766qEFfsAwLpUYmvqwCEO8LziHsRY+ngiQJWK/H9WU1AKzNrYjG4XqOUAdyuCBJEvv27as8fvy4dvz48ampqalJK1asmLhp0yaflf66detafvjhB21xcbGiurpamZ6e7lPlZnp6ujk3N/fSgw8+GFtcXKx4++2363788Ue/+Pj45NjY2JTt27eH9L+V3mzYsKGZZVkiPj4++cEHH4z9xz/+Ua1SqThvy5999tnm7u5uatKkSSkbN24cn5yc3A0Ae/fuDVi4cKGLm/rAAw907NmzJ2jZsmXtwrLnn3++YebMmUkZGRmJkydP9unYN27c2LBs2bLYlJSUpODg4H4vioyMDPO6desa58yZk5iQkJD85JNPRgHAYHxnUggb/IPXewh7dDiQ+jYzwicHDNr2FI5ZLKym/h+S3hxITyj9ZOA4vsfdQMNiZoOtVz6Y81gBPl+s+lwrTuZVIWJyIPa8UQhtkBJT5o7HLVkTBrQ/d3ocyN4FQ8DwFpQcfOe8OPuPUjuwELaxixcOA3Mgh/+Y+8JZcsmUNEx6m9jTUHgR4DiOn31FRooVy96OR8yBpEnIHC8QNqsdSgx+aFfI91P6yRCV1NuUEPpAuk9lKOAXqABJEpiZPcmn/Qn3PqPj+xGOT66k8R+/nYY9fz7jcz7lQLDb+Wpv5+uXFR1ITnRGSZKAOlB+fXpBmvhryMWBJCnwvYQkB9KdCRMm2PLy8jy2qVmyZEmvxPAlS5bonZdrNBquubn53MGDBzXp6ekuJf9Go7EQABISEqxCBfbq1avbALQBwOzZs02VlZVi0ccXX3zRaxzO67/++uti64yTJ0+WC/8ODw9nLl++XAQAarWa27VrV7X7drwt12g0nKfjf/7558d//PHHLus/+uijHY8++uhp52XPPfdcy3PPPdervdBnn33m8lnn41ixYkXnihUrevXecz4+AHCuWv/Nb37T9pvf/Mal8i88PJzx9J0NBElAgs9t81QoQtHkqKjCtttZGDrM8A8evD6j4kPS0veDw25nwdq5Xn0gvSEIQLPBNiABabezsJqYXiFsd1LnjkfZiUbUlbSL1aj6djMqTl4ZRAHp+uCm5MPvxrVdNohuq5gD6RgPa2fRUmcAx3IIivATHSYBQUAK35cv9FTujswiGmcEgSK03hH+jmK3AjkpCmJv1/t1dSCtdmjGKPCLLbM9/r4/B5KiSDzx97t83p9w7IJj6TwFosxxrliH4FjtNhYkTbrsz+IQqs4OJMC/tA3FGHohzELjLCAJgi+kGaFV2DcCWVlZhqysrOHpGTUEnDhx4sJwj+F6cNMKSPcqTW85kKOhClvXYgLHAdpgzw2QrwaKJkGQhFg44g1h1htfHUhB3JgMNgQOoOuNc5FMX4yb4I/YW0LQ3tAtPowmpo1Fx1UW7tgZFuePXobNYkdrHf/i7C4g6REgpixODpFCJQNJE6Jrdv5YA47vqAAAJM4K69Xr8UoNn3YUEOJ7JxB6hIewnRHa4ggpBsI5LTbcl1MgKRIE0ZcDyS8nHTmQwFCGsNle55gzCjV/2/Z1ruv+oJxyIAnCtThHSNewmQffgWTtLCiKcHmhEXpfsk45kMI4rqsDqXZzfim5JCAlJNy4aQUk65aD595IHBCKaEb2A9JmseOjTT8AwKA2dCYIwqebttDg12cB6cjP25tzBpRDtM+6NxYpc8b3+Tmh9Y+nELY7ChUNi4mB1ciAJAmotDI011zdw+dyRQfyP3V9mewtIPmfr7eYKj3RiKikMdCMUbrkh8lUfE6fMB5dqwm0jIQ2WInurt4PwYsFzQibFCBW7/oCSZEgSWLEhrCdcRYotIwvqGHtrFisIggmiia9Nl9nnRxIIYQ8VK1l+ksJCQxV46dPpSEq+ZpnSAPglANpsEGhpl1yLoXvztrPi6SAxcTwbZF8yMEWej0KAh/oEfm9HUhqSERsLzyFsAFJQEpIeOCmLaJxz230GsIe4Q6kMI3f+IRAhMcF9rP2wJApKI9hI5blRAHuHAb0heDxfpjx04lIzgxHwq1hIAgCdaUd/X5OCK/5IiDlahmsRgYWEwO5moZMTl11tbBJz+83bnpP30faPYQ9DPmANosd3+SW4vPXC2G3seK+KZp/ePNiiF9m1FmhDpBDM0bRK5dN325G22UD/Cf3P2WlO5ScFB3okYyzgNQ6WlLZrKx4TghijZKR/feBpMnr4EDa+3QgAWBi6thrLpQTcJ6xRuZWICb8bPVRvP3PM8fw5ZtFLsuMOit2v1GIT7cWiE444JgykSJd/j5CGoad4XoLyOviQHoIYQO8gGQ8C8hOoxUTn/8Ch4qbhnhwEhIji5vXgXR7UFBeQ9hD94BsqdPDP1gpzht9NQiCYOq8qEHvQci/9bvetC+dacGBfxSB4/h9Jt0eDqDHhesPkiJdkvvbGrr7rfS2mBjsfr0QQO9p3TyhUNNgbCxMOisUKhq04uobEQvCdWyUBhdPN/PH4PY9iyHsAYipupJ2MAyLianBV9VLUOhPqmsxuYSvOXDimAQxZNLzzbPlSrrXFHzCjC0v519EVTCJB2dE+zwGSkaOihxI56p5bZASHY3dsJkZcezCy4+za+uOxxzIIWqizljtvboNDCWUS8ja9ZEgU1AAgX5TWYAeQV1zvs2lR2ZzjQ6XyzsQEKLCuSP1SJwVjpBordiqxyUHstsCmDpgZ1x788qUlM8u6DXhzYGkvTuQ9R18W6htB8uxMGXw8tAlJEY6N62AdA9VkZ6qsKmhK6JhWQ47XzqF8NgA/Gz99KvejiAeBisfyhn+rd/VeWit04PjgOBIDWqK2zB5Jp/I6KsD6Y52jAL15X07kDpH377gSA2CIvpvdi0UTejazFCoacjkJFiWg93O9nJt+gsXmvRWECSBMWF+XtcZaEsbfbsZe3POAADuXXcLIiYP3Dl2dsaF+cYBgHMsJ2lXAek/VgWZiu71EBYqk40Eh5f3l+Hl/WU+j+HxbiVChmjayMHE+drwd+QJ2yz23g6k03fGWO3I33URNE1i9s/jnAQk4VRgNnQOpDb4+gWHSJIAQfAtEN1bVBEEn/PpiwPpPH3kqbwqzFgSA4IgxLD0/F8lY8+fz2Dny6ew8LEU2BkOtNytiKbhEritWbDbPgPVUQ4gDgAgV9DXx4E0dgAyv57ZZwQoeb99IC93mPr8vYTEjcZNKyDdQ9OeHEiKJmCzDE0IW3C2hAIGX+FYDgVfVgMApv9/E0UHUkisH0xkyt43bbPBBoUfjdj0EJzcVwWTY9pEX3Mg3dEEKdHdaelzykTh4XX7z+N8clkVfoKANCEkSiuOjbHYQal79nGlSoddrxTg7tXTvOaTmbptUPrRfeYHDrSIptOp4XhjZWefApJjORAejtlFQDo7kI7Fzm6aUWdF6KQAyGS9hYAQojeSwK9mx2D8GN/yaBs7TbDtb0CXYeS3NnEWKELPQZvFLjqIQgcB5xB2S60exccuAwBS74p0cyAhbuNqYGx2dDQZERLludG/zWr32qJnKCAIQmy27u5AArwr6YsDKaTTAMCpL6oRMy0EIVFaUUD6B6uw4NFkfPlWEVrr9I5rnobc2hP6NbNamO/cBuwgQVl6uo54ioYMCe6z0AhQCq99IM2O6940Ctx4CYnB5CYWkK5ukSfxQlJDN5Wh4PwoBugcdlwxilMWTkoPEQWkpxv/tSJTUNC3u940Td02qDRy8eHXdInvlXq1DqRmjAIcB3R3WcXm5e6IUwj6eIwKFR/mtnQzUKjpHgFpZaFwKjS+UHAFAFBf3u5VQJr1Nqi08j6nUBMKSuw2FizL4eA756FvM0MzRiE2QXZG38qH7GkZiaZK7zN3lf/QhK/+WYJHXs7s9d04p1Z4arBM0QTsDD8es8HGNxd3hCKdRanQ+89EcFg5JwbjA30UkF0mvPllA4xD0B/wWnHvsBAYqgatoEDTJIIcTvLL+VtBMjRicScomZMD6RDdzg3oGavdJQdSCM1e7TzgJz6rRNG39Xj4pVnwD+79fTP9VGEPBZSjuMg9BxLgXcmBOJBzHpyM4zsuiC+XgkOu8KMxaVoI5CoajJXtCWHLer5HK+eHd3dMBgDQ6HH0ZEoKdob1GEUYVEwdgMrDCx0l8xrCdhaOdpYDNYzTmV5v6urq6CeffDKqsLBQExAQwMhkMm7t2rVNQUFB9mXLlsWOHz/earVaiXvvvbf9tddea8zLy9MKyy0WC7FgwYKut99+W2w8brFYiPT09MSSkpLS4TwugQMHDmiefvrpCTRNcwUFBaUajWZQHKXnn38+bOvWreKbU3p6emJhYaHv4R833n777TGVlZWKV155pQkA5s+fH9vS0iI7e/bsVW/TF6QiGgekhypsiiK8VmVeK0a3WR98xfmhxVhZsdH3UISwPVVhC/0bxzoE5OkDNQC8NzXuD80YYcYb706W1csMMN5wdmMVKlp8GB/fWYGv/lmCH/ZdAsdxaHa4v+Y+ZrgwGaxQ+smg9u8791J4AJv0VlwqbEFXsxFVZ1s9zgaiazWBJAnETR+H6qI2FOyv9rjNkny+L6ynKRK9OZACQg6k2WADx0HMgQRce/qZ9TZARoAhANkAHnzjtErYCcByPSpjB4jRLe3Cf6wSj/9lLla+NgcKLf8dtOk60abnUyd6ciAJ0Wl0FpA2ix12huVDvSQBkiZ8anHljfZGvt1dR6PnqS9tVnuvQq2hRkjh8XQ/kvnqQHby97TQGH5CA+E7tBgZ0Iqe2bGESnihUEau4Jcnqr7GnHGf4vb7J+OO4A+RGF7ZMwahcGmoXUhTe+/8R4APaXtpJG52Sl25mcLYLMsiOzs7bs6cOYb6+vqi4uLi0p07d16qq6uTA/yc12VlZSVnzpwp3bVrV3B+fr7aeXlRUVHJ4cOHAw4dOiTmBx06dEgzY8aMEdMPMjc3N2jt2rWNZWVlJYMlHgEgJycn3PnnaxGPAHDgwIGAJUuW6ACgtbWVOn/+vJ9er6dKSkqGNJn6pnUg3astvc5EM4g5kFYzA9bOQeknE9/OBxp6di7UsNvs4tv9kOVAuoc8DTZog5TwC5Qj9c5IcX7a/hyTzy98jn+c+wcIEHhu5nO4M+pOABDn283fWQF1gAJBEX7IWDzRRZAKDw1fxbbzdypXy0SBUPljC0ian9887c5INF3iBWRnk/c5rM0GG4Ii/LyG1wVoOf9QFBzhcRP9UV/W4dGl0rWaoAlSIOWO8Sj7dxNK8huQsXhir/UE8e5JTDgLSMHNdoaiSViMjCiS1f5y8VyxmhjR+TbqrSCEmU0G4OxQJAGSJmEdgVXYnQbX74Mke47LRvLu711hP4HZagYHgJLxwpmSOTmQhp7zXhSQjlSFnrxAu+gE83mEvglwbbAKQCc6mroxYYrrVLYsy8FuGwYH0vEC7TmEzTuQHMeh6Nt6xKaP85jS0d1pgUxBiXmmPQLSBqXTNSkUXwmtehQy/rsOoJqQFnoe+EkUcL4A4GY6jYH/vM1iH/AMVgPC1AGMS+69nJJ5rcI2OzmQ9R1GRAf73k91MGh4YWOU5cKFQd2pYvJkY8TLL9X1tc6+ffu0MpmM27BhgziTSnx8vHXjxo3NeXl5Yn6Gv78/m5qaaiwrK1OEhYWJF5ZGo+FSUlJMtbW1cgDdALB//37/xYsX68rLy+WLFi2afMstt3SfPn1ak5aW1v2rX/2qdfPmzePb2tro995779Jdd91l1Ol05MqVK6PLyspUDMMQGzdubFixYkVneXm5fPny5TEmk4kEgL/85S+1CxYs6M7Ly9Nu3rw5IigoyFZeXq5KTU017t69u8r5HiHw+uuvj/3iiy+Cjh49GnDgwIGAVatWtb722muhR44cuQgAjzzySHRGRkb36tWr28aPH5/6wAMPtB08eDCAYRhix44dl9LT081dXV3kypUro8+dO6cGgBdeeKHh5MmTfhaLhUxMTEyOj4837d27t0qtVqcbjcZClmXxxBNPRH7zzTcBBEFw69evb/zP//zPjr7GzbIsiouL1bNnzzYCwAcffBA4f/78ztDQUFtubm6Qs9M52EgOpANvc2F7a+Njs9hxfEcFvs4txde5pagtafO4noCdYfG/zx7H/647jpY6PYwOATlQ4eecZ2dzOJAyJTXoFdiA57wjs8Emzs97x9J4/OpPt2P+o8n9NjE/fvk49FY9GrobUNhcKC4PHKdGdEowWJaDvt2MHw/U4N+7K10+K7isnsJrnnD+ThUq2kWMClPDdXdZxXl3O694F5DO82+rtDKvoW4+/GkXxyqEvD1V6urazPAfq0LYpACkzYuE2eg5t0oQkJwHjeZ8XnY193Y95CoazTV6fPG3cwB4oS58L87hSLPBCjjECu3hGugLmZy86jDuUNLlLiCdjstI8OaGilODYh3nCdUTnvbmQLK23o2ti76tx1tPfYu3nvoWe/58xufxCS+rbQ29m9sL3QKuNqf4ahHcQc8hbL74StdqwvEdF3Dwf8573Iah0wK/QIX4Aie47xYj49JpgnYIdZZhQdIE5BTv7MkIEyB3mFFyDWDt+X6umwNp9OJAUgqvRTTOAvJy583jQBYVFanS0tK83zwdNDU1UYWFhX7Tpk1z+XJaWlqoqqoqxcKFC8WpDfPz8/0XL16sB4C6ujrlc889d6WysvJ8ZWWl8sMPPwwuKCgoe+mll+pfeumlcAB44YUXwu+66y5dUVFR6fHjx8tffPHFSJ1OR0ZERDDHjx+vKCkpKd2xY8elZ555RmwvUVpaqvrb3/5Wd/HixeLa2lrF4cOHPVZmrl27tnX+/Pmdf/zjH+v37t1b1d9xjh07likpKSn91a9+1bJ169ZQAHj++efD/f397RUVFSUVFRUlP/3pT/V///vfLysUCrasrKzEfbu5ubmBRUVFqtLS0uKvv/664ve//31kTU2NrK9xnzhxQp2cnGwURPDOnTuDVqxY0f6LX/yi/V//+tfgNIv1ws3rQPbKgRxYG58r1TqcO1IPlVYGi5GBscuK6ORgj+sC/I2PdYTDu5pNYvGC86wPvuDiQFpZWMzMgPMofUWm5NvhsCwHkiTAcVyv+ahVWjkSbu2/dUWrqRWJQYkobiuGje15OFMyEtm/mSr+vPPlU70EkRDC9jVM7hLCdsqBBAB/Ry6hUcc/DK4Oa1oAACAASURBVPxDVNC1mLDz5VO9tiMer6Mo51d/muN1n7SccnEg1Y5pAT219tG1mTExlT9XlH4y2Mz2Xo2TAacp9zy44M65uS11epA0gQkpwYifyf8tbr9/MmJv4XtXypUUQmP8xVC380PYqLeBU5JA98AcSABQKCgwJisuNo+YiBMAoKLBtTDN+do2gP+dglWBYBwChXZUY8tIseCjdw6ka+7dXSsS0VzDP/fqStvRdKnLpXVNXwjnSNmJRoTHBoh/J6BHQF5vB3LK3PGoK+3AxLSxvX4nU/IvksLLkae0DMDhrI9RgKRIKNQ0zI7Zo3gB6dTM3XGtCCFsP5UVCsKCILoOkDvyD+UawNozlfJQV74D4CvQTB1eBKTcpYiG4zjoWs1Q+tHoKmxDBEOigWbR0Nl3S7KhoD+n8Hrx8MMPR588eVIjk8m4rVu31hcUFGiSkpKSSZLk1qxZ05SRkWHOy8uTFRQUaBISEpJra2sVK1eubI6OjmYAoKqqShYYGMhotVoWAMaPH2+ZOXOmCQDi4+NN8+bN05EkiVtuucX4xz/+MQIAvv32W/+DBw8G5uTkhAF8DuXFixflEyZMsK1cuXJCSUmJiiRJ1NTUiJZ5ampqd2xsrA0AUlJSjJWVlYMS5l2+fHkHAMycOdO4d+/eMQBw7Ngx/08++UScbzokJKTPE/j48ePaBx54oJ2maURFRTG33nqrIT8/Xx0QEMB6G3deXp7/okWLdACfk1pTU6NcuHChgSRJ0DTNnTp1SjljxowhOTFvWgHZqwrbawjbswMphLoWP5GG7z+v7NeJcXYOzd02MQdyoFMlOreKYWx2WI3MkISvAbg0TFaoaDGU50szb3faTG1ICU6BjJTB2seMDnIVLT7EBWxmvrGyp2pkT9Ayip9FyM5BHSB3eRhrHUULwvzPibeFobXO4PFFQXjQjwntPzpEyUgwVlYUaYIDKZwXHU3dIAgC2rFKmPRWaBwhQCEcZzEyUPu73seE9AHPArLnvGm82AXNGAUWP5EmLvMfq4L/WNcCDTEH0jHGupJ2tNUbwMb4Ad0APUAXW6WSQd9mwfzXjw7oc0NNoJ3Af6LHEXe+tg0cLyDZNhlg4f8GHN1TYc04FdHIVTSsJoY/7+2uja2jU4IRncK/BMgUFBoudMLSzfh0bQgiyC9AjiPvl+HI+z3pT8HjeTNkKLoq9MW0+dGYNt9zD1DegWRE4ejpZdtmsaO13oBbsvhtKPxkLiFs53ORdlwrQkGMgjLhsdBfOna22PF/P8DcKX5GuIatFt9zbi0mBv/602lwLId7n70Fqv56a1r0AGf3XIVNy11yIKvOtuLLt4qg9JPB0m3DQ1Bge4gVDTeRA5mammras2ePqLbff//92sbGRjojIyMJ4HMdhXCvM8LysrIy+ezZs5OWL1/enpmZadq9e3fA/PnzxapCuVwu3uRIkoRSqeQAgKIo2O12AuCF/K5duy5OnTrVxR5eu3ZtxLhx42yfffZZFcuyUKlUYq88hUIhbpeiKDAM49ONTyaTcSzbcy+2WCwunxPGR9M05+s2B4K3cX/zzTcBe/fuvQjwOZs6nY6KiopKBQCDwUDl5uYGz5gx4/Jgjwe4mQWk09y2LMMh0INI4G90noWhc1sPWk7xocA+cHaiujstqC/jZzwY6PR3ziFRxsYLlqFyIHvmweUFpPAA8aWZtzutplYEq4IhJ+VgWO8PAaWaRnuTESzLgeN459NmZnwOXwss+/2tMOqsCIsNcClCEULtQgpBSJQWM34a43U7Rp3VJ1EgFK0I4WFnB7KrxSRON3n/f2UAHKAOcBWQZoOtt4AUHEgP54jgQN6yaAJCJ/h7PH/dEf6eFhOfz3bkA1642MfIgA4MuHo0Ybw/qlqtyFnmIWdsGLG2mXFlZ7X4s7Pg6bJ1wUQDVwoBwA8WygiW4L9n596Zlm4btEEKtF1mxBcnyku0QMjj1XeYfTpXrCYGEZMDcc/adFT+2CI20i//oQmtdY4Q+1VcY0OF3NHEW3jp9fQi11TVBY7lxNmwlH4y8Z5oMTJQOOUtUo77KstwfPGizckckTuiiQoN0FXfs1jIgRxACFvXakK7I02g5nwbEm8L7/sD3mahAXpNZSgU/Tk71ZNC/NDQdfMIyOzsbP3vfvc74pVXXgl57rnnWgDAYDD4HMZITEy0rl69unHLli1h+/btqzp06JD/yy+/3DCQMdx111261157LfS9996rJUkS3333nWr27Nmmrq4uKjIy0kpRFLZv3x5st1+7cx0bG2u5ePGiymQyEd3d3WR+fr7/7Nmz+wy/zJ07V/fGG2+Me/fdd+sAPmwfEhJip2mas1gshLMoBIA77rhD/84774Q8/fTTbc3NzfTJkyc1OTk5defOnfPYHqOtrY2y2+0ICwuzA8CuXbuCPv/88wvz58/vBoCysjL5ggUL4v/6179KAnIwEZy/e9fegrBJAR7XUahlfKjF1vvh4dIXTkFC39b3CersIjlX3XqbOs3rdpwdSKsdVlNv52qwEN76v/2oDHIFJbprA50lw2gzwsgYEawKhozqx4FU0+ho7MY7vz0KxsoibFIANEGKAVerB4aqRVHlHMIW2uEIDmR/oUJfv1vhZcMqOpCCgLS7NFhuqdW7bFcUkB4acgvdaDydI8L5OyElCBGTPTzwPCA41TazHZ1XjNC3mzF3eQK+MOohq/G9CERApaRBA7h7asSAPjfUNFV14TNUiz87C8hOSyc+S/tfvD/nY/zQdBJ/q/gzHmJ3AuD/hizDorqoFZcrOjEhNRhtl7v5ELZbDqQzzp0EvPV2dMZmsUMdIAdBEC5TZOpazT0CUnv9ZqLpD79ABTiWQ3sDPzbhPOFYDp+/9iO6Wk38OUpAvJcq/WRicZfZPYQtI2HutvWkbTBOostLDqTw4tfR1A0gxKdxO4e760rafRCQwiw0nvpAugpId2OBAYcJwWqUNendP3nDQpIk9u3bV/nUU09F5eTkhAUFBTFqtdq+adOm+v4/zbNu3bqWSZMmhRUXFyuqq6uV6enpAwq1bt26tWHVqlXRiYmJySzLElFRUZYjR45c/O1vf9t83333xX7yySfB8+bN61KpVNdc7RcXF2fLzs7uSExMTImMjLSkpKT0m/+5ZcuWxkcffTR68uTJKSRJci+88ELDL37xi86HHnqoJSkpKXnKlClG5zzIhx9+uPPEiROapKSkFIIguP/+7/+uj46OZs6dO+dx+3v37vWfO3euHgDKy8vlly9fls+bN0+8cBITE61ardb+zTff+DkvHyxuWgEphAA9hWMEhNw3s9HWqw+gKCBlhE9zLXv6fWiM/4AFpPN2mi7p0FKrx+QZoQPahq+Mm+CP4EiNS05iSLTWp4ekM21mvsBorGosZKTMJQfSHSHZnrGyCB7vhytVXaDlY64pJ8z5s8KDrNuRAzlQZ9MblIyEzWATRbYgAJxFJQB0OCq+RQGp8S4gBdobu9HR1O0yG07P+et73qIgIEu+a0DFSb4wLzo5CMwPXaA9VCH2By0jYbPYxX6aI4WORtf7pPN31GXpgkmpQ2xiBIpoQF/bDobj/z5CCFsoPFJp5SBpwuFAch7TXABAE8TfGwztvj37rGbGo2Ps3CrqatJEhgpBvF2pdhVH3V1WNFZ2IWJyILTBSgRF+InREJVGho7GbtjtLBiLHUq1swPZMy0h1cuBdBaQPftT+skwJkyNRkff1LqydgR4SNNwRsgn9R+rRMXJK5Apady5PMH7gRr7diAvdcXgnfVHMClSixh/17+flQAiAlTYX9SE5e/8Gx/9523e93MDMWHCBFteXt4lT79bsmRJLzW9ZMkSvfNyjeb/sXfeYXKUV7r/VVXn7slBoyyhOBKSEMoiCiyJjFlsbBOcsLkGbGzA9nrBd82yxsZ7jXFYB7C9tlmDLZMlEQQmiqgIyjlrZjR5ejp3hfvHV1XdPdM905OEkOZ9Hj2tqa7U3VVfvd97znlPwKivr9+0atWqwMyZM201b9KkSYndu3dvtf5+8sknD2R7LxAIGI899tjBjseZNm1afNeuXdusv3/7298ezXb8Rx555FBXny/9uAC/+93vjgCdCPLRo0ftBvDnnntuZM2aNTsBioqK9KeeeupAx/XN87FVwUgkshEEKX/ooYc6HSPXeX/mM58ZfdNNNzWC+F7q6+s7Mc2B9NQ8dQlkmoKYCxaZiYfVzgQymRnC7q4vrqZmvj92RjmyItuz+nyRnku5e614cJcNz91mry8oHuLjs9+f2/2KaWiINPDjNT8mrsWZWzWXL0z9Ak3RNAKpdEMg08Lx42cP4f1n99FcE6akqvcuFekm5xZhzFeBzPsYTgU1GScRFeF2SzFVkzpkI5CmQml1zelIIDMU6+cOsO65A5w2s4I5l46lfEQgrwlQR7jcCsMnFtNqTgjGziinsNxLUjN6XIENIs9T1wxe+sPW7lf+CNFRgSxyFyFJEg7Z/I30FIFMLxBpqQ3jdCkk48L0OhdZ9xa4kGWpSy/TdCRiWtaJS7rqeCKFsC2z8/oDIn/UmhAFG8W1POvi0Z0KCD1+J+3NMTa9Ip6D6S4NDpds70N2yKBmCWG7/EKBNAwwFc+qcUXs+6ABQzdYbla93/q7C3KetzUmz79yHC/9caudNpQLrz0fJ9F6B0tz+EBuD57HiJhBYnuQnWQWamkyfHbuSOKqzpDC3E0HBpEdS5cuDS1duvTEqsb7GGDZsmWdyPPxxKlLIPN4ALvTFMiOSO9M4XAr9mw3F+y+u6aJbqDUQzyS7LkCmRSGxsigqwbDxriZtWRkj/aRLz6o/4Cp5aLwJV+sPrqalw++TJW/ireOvsXCYQupDdcCUOYp67aIJj3UZYXDIsEElWMKe/kpMicJFmG0ciD7i0BaRuKWx6JFWtWEnlHwIkJwWULYHSpbsymS+zY2MGJSiUkgzRzeHhA/SZb45B1ndlqu6nqPK7ABpi8awejThQXTiYZLVizlhg33AtkJJGBf15puqmEd0lTOXDqa1ct2kUxo6Jpu+0V2hCxL+IvdbH+nhmMHglxww2QKy712TqzDqWRcZ8mYiivLdWddE26/o0fK8kAjvf0jYBe5tZk96osqOquAFaNFlOKdp0QNxYhJKVLmcMp29yRF6UggzcmwOwC6KgpXnOL4VWOL2P52LcGm/JRea0yuGFXAtEUj2Ple13Z427Z5gHNYJBfRKYFAcRLTAhxSNIYZCg5dqMSKIhFuS+AyJEYX+7hp8rDj2oZyEP2DxYsXjzt8+HAG87/vvvuOXH311T3rNXyK4ZQlkLYBcBcDdXqFbKftM4poBHnI1bcYsKs7nR5hYREodtu5VT0674SO4hLt1BKqir/un/Dqy/CJe3q0n+6wp2UPN7xwA5+f8nm+M+c7eW+3r3UfbsXNo5c8yiVPXcK/LP8X+70KXwUu2dVNCDt1Saarjvl2ocmG9Nw+a3CPtFkh7P65BSxvu0RUw+VNWQclExrpqYXtTTFhLWS2z3O6FWSH1Ikw5gppW9eRPQHqRei50z41o8cV2CAIaT7FOx8Fwu5Ui0jr939h/wu8fPBlZlbOBLAVSOt6TM9xvOGHCygs9/LeM3uFzVJSx+nOPZGaceFI9n3QwNGdLdTsbqWw3Muy+9bSUhtGViSu/88FFJR60HUDNaFndU7wmgSy22rh4wynS8Fb4LStx6wirLb6KJIsEcjSgnTSvCoKyjw8/dMNABnG4w6nYk86FKcMsbQcSLelQJqvibBNIK3vJ9KWn9KbNCftTreCr8BFIqqiJjX73suFLWujzLyogyWT4iZuBIjKBqohnJ+cLoWyEQHCmxpx6SJSsGHVQcpHBvjM3T2L3Azio8XLL7+8t/u1BtERpyyBzEuBNMlMPMvDPKOIxuq13EUHiY5EMVDqJtQcs5XM1voIhm5k5LllgxgAZSRZIhEFlxSBUP8nbjfHRLhn3bF1PdpuX9s+RheOptJXyS8v+CU7mkWlb6Wv0g5hd2fjY8FX6BLkPKH3G9GTZAmHO5WD5exlD++OcJjdNeJRFZfHgayIdndqQsPQsY3edd3IKMyRJAmPz8mu9+toqQ2z6IZqfIWurP2tIXUd9SaEnQtJzeiVAvlxQWuslW+8+g0+aPiASm8lnxz/SSBFIO0cSLvTTKrYyuFS7F7YXaW7zLhwJFPPHcZD33iDUEscwzBoPRahqMJLW0OUYEOUglKPbc2UbZzwFaQM6080FJR5bQJp6AbJmEZbY5SCUnfO3tRDxxUxdka5XZltIV3plRUpRwjbIpDt4BfhcUu1Dbd1Hj80VefpBzbY6uSw8cUMGSuiFk63Yt9z0fYkBaWdv/v08fndZw9QNrIos0uQ4iKmFxFz6Fh3psMls/QrU/n3//cuww8n2LP+GL4iFxd8vjrr9zGIQZxsyOupLEnS2cAEwzD+JElSBRAwDKNbZ/YTGT3JgcymBmlpNkDWw0BNaDkJpJW7aFXWBordyM6UbcjqZbtJxlX+5duzsm6f2o+Ow6kgmaftlsMZBrf9BavwJZLsttAsA/vb9nN6+ekALBy2kIXDFma875SdxHP0lAUy2pRJkkRRhY+mo6E+WxVdest0OxTnMlMOFKfcb6FCxVYgVbwFosLWIr9a0lScJNOup0M+7ennDWf/h40c2NxE3b42TjujIqvqDanrrjch7FxQdb1XOZAfF6w/tp4PGj5g9pDZ/PeF/43fKSZpimTet2YO5KgpZRzd2cLQ8cV2JMHpVlI2Pl2MFSCUNY/fSbg1jpoQEYnK0QW0NUTtNJhEF205fSeoAgkwbmYF0WACf7GLun1Bfn/7mwA5OzOBuH/TvUktpOckK51yIP2Zr2mV2NbkMt3VwIr61B8Icmx/kDHTy2lvjnFoa5OdG+5wKyn1MpiwJwfpsCyKzqp4mrcbrqLxSHsGgTQUFzE9QFJKEMcggBj3HS6FiDnkBxtjzLlsbI+LDAcxiI8run0qS5L0A2A2MAn4E+AE/gqcNbCnNrDQ8lEgzYd+toe51YbLIgogcoS8OcYOa4brDTiJhZK4/U6z/Z1YHm1P5NUWTk3oOFyyHYJ3SWEYgBy0hohobxpVu/c129m8kyd2PYGBwdHQUS4fd3nOdbsLYVsPCUuxO/+6SdTubWPC7L5Vmqd32LBIfn92+3CYlfhNR0KMO7MibZlGIqbh8goj9Fgo2SlnbM6lY5k0r4r//f67KfPlaH4KZHekJh/0NoT9ccGeVpGH9+sLf43PmQq5dyyiqRhVwBXfnJmxrdOtEG1P5EUgAfwlbkKtcdsP1DKut8YQy8cwWxGNwyUIqGUBdSLhzKWjOXPpaHatqaNunyhunX3JGMbO6Ny5pjukK5CKQ85ehW2Fsjc+CpMvhTFn2d9ZOoGMhZN4C1wc2dkCElz4+Wq2vHmE95fvJx5WURwysizZ6m40mD36YVkO+X0RopLBtr0tzGKM/X5cKsFAwZDjxLWUOg0QITX+jpicn6XWIAZxMiAfWecqYCawAcAwjBpJkj72Uyyrw0xXBFKSJdxeR/YQdjIV0rIGkq6sfKzctYtumsaBzY2UDvUL3zndwNAN4lEVLQ8CqSU1UfUdFOckFMj+D3k1RhsBCCaC3bZo+8vWv/Dc/ucochVR4a1gwbAFOdftLoRtpQ1YD5mq04py+nT2FtaDqD8J5ITZQwi3xjF0g+qzhN+c01QgEzHRLci6PrIVHdh2Pmn9g7NBNRVILY/rN18ktd4V0ZyosIpiLOxu2cPwwPAM8gidCWQ2OFxCgbQmjN0hUOwm1BKzq4yt6uNYOImhG7z8J1GxnsvX9LJvzLCNyU9ElJvq2mVfn5EZ4u0B0nMQRQg7PQfSfLQUjwHZAe/9GrY+DXdut7+zUBqBXHbfWoorvTTXhikfEcATcNqRo1BrDIdbXNdWWoClNHaEVVSHU6ddMogezqydiCCIoVMOE1cLAMUWDiKkxv3+HqsGMYgTGfkQyIRhGIYkSQaAJEkD4xlznGG1JOpOVXD7ncRyFNFY29ot/7oggDZ5qPRy5tLRGcfWVN1M8O6+oEaEsGXbFsglRUDv/5+kIZpSIL//9vftilWvw8s3Zn4j42G8u3U384fO56HFD3W73+58IC2/uDMWZ2+r1h8YCAWydJi/U+6TrUCaldnhVhGOy+Zd17GYJhFN2svTDZFTCmR/hrANFCXBq4dexTDyV7MDrgDzhs7r8/H7G6FkphvInta9nFZ0Wqf1rGu6KwLp9CjC9DqZvwJZfzBo940OFLuRZYl4RKW9RRiFKw6ZytHZ5+BD+uA2cDxQOtTPLb9ZlHdb0WzICGE7TQWyohrm3AhDTQW4fDx87xD88x7Y+FcgVUiXXkQTbo1TVOGlpMrP1HOEob2VBhNqidv56b60EHY2WMvdHo122WBIPHMsDqqFgEaBM0wsIe4Ra99hPTUxlE9iJT8bDh8+7LjllltGbty4MVBUVKQ6nU7jjjvuqCstLdU+97nPjRs+fHgikUhIV111VfMDDzxQu3LlygJreTwelxYvXtz28MMP256H8Xhcmjlz5uSB9C7sCV588cXA17/+9dEOh8NYt27d9kAg0C/hvu9973tV999/v20LMHPmzMkbN27c0dU2XeHhhx8u2bt3rzuZTMqBQEC79957j4s5bz4E8h+SJD0EFEuS9FXgy8DvB/a0Bh75Kjgen4ND25p49ucbOfezE+0il3QCaSuQXVj5aKqOJGUez9resn/RNQNdN7ochNSEUCCtHE6XHAat/0NeDdEG/E4/pZ5S3qt5DxDVqi3xFs4ZcQ4Lhi7glldu4WDwIIfbD/OFKV/Ia79O2UlCz61AKk6Zm399fp8eUN3BUjL6k0Bmg8Mpk0yI37aw3Guri9kUSEmSRPu3cEqBdDjlTtdnKgey50biuZDUdEKe1/jma8t7vO3/LP0f5lTN6fM59CeC8Uz1aG/bbs4dcXan9fJRIH0FLrt4JD0/NxcCxW6i7UmiZhs/l9eB2y+iGJbR+KW3TD+hOs30FH29N9OJuGIV0XiLYe5XM1d0+cFfAckIaCqKU0GWpYwiGl+hi6vuzLSmsqIYoeaYnRLjcCk4PQof/vOw7Z8Lwopq6jnD7RC2yySQoxKZPKE17geCVHjD7DfTwq1xv0EyaBvh4YavndH7L+VjCF3Xufzyy8dfe+21TStWrNgPsGvXLtfjjz9eXFpaGrV6XgeDQXnatGlTrrrqqjZI9cIOhULStGnTprz00kstS5YsCQO89NJLgTlz5pwwfpCPPPJI6R133FF7yy23dG0i2kP88pe/HJpOIPtCHgFefPHFottvv73+6aefLu5+7f5DtwTSMIyfSpK0GAgi8iD/3TCMlwf8zAYYDqeMr9DVbfu2KWcPY+d7dRzZ0cLRXa0dCKSZaO/KR4HUUFxKxvGs7S3yCMIjzu3L/aBSkzqegMskwBJurxO6UPS6Q1SNohudlc+GSAPzh87n54t+bi/b2byTT634FJFkhLgW562jb9nvTSiZkNfxnIqTZDdFPwPtgZdhCdS0F176vxltyjIw7//AhMW9Ok5KgRTWPpa4l41AQio/FkQOpMvnyFAfYWCqsFXNwFDC+Bw+Hrn4kfy2MVS+/OKXWbF3BWdUnFgPzua4GOvXjniBsohQpT498dOd1suHQM65dIwI1UpQOar7zB3LrsYyjHd5Fdw+J/GIalcIp5tqn4rIWkRjVV13hBXSjgeRfKU4vYodwp48v4q5V3RWlq2+2+G2REbB2pxLxnJsf8reqWZPK3vW11NU4eW9Z/bhkBIoToWgbOBMQDyStMPtLe2C8A/xtLNTBONwmBPQqKoRPr2gy644A4lXHtk+svloqF/9tEqHByIXfr76cFfrrFixosDpdBrf/e53G6xlEydOTNx99931K1eutG+WwsJCfdq0aZEdO3a4q6qq7JstEAgYU6dOjR46dMgFhAGef/75wksuuSS4c+dO10UXXTThzDPPDK9fvz4wffr08Je//OXGe++9d3hTU5Pjz3/+875FixZFgsGgfOONN47asWOHV1VV6e677665/vrrW3fu3Om69tprx0ajURngF7/4xaHFixeHV65cWXDvvfcOKy0tTe7cudM7bdq0yDPPPLM/mx3az372s/Lnnnuu9I033ih68cUXi2666abGBx54YMhrr722B+Dzn//8qNmzZ4dvu+22puHDh0+75pprmlatWlWkqqq0bNmyfTNnzoy1tbXJN95446hNmzb5AO66666aNWvW+OPxuDx58uQpEydOjC5fvny/z+ebGYlENuq6zs033zzi1VdfLZIkyfjOd75T+9WvfrWlq/PWdZ2tW7f6zjrrrMjTTz9dvGnTJt8ZZ5wxuaWlxXHbbbfV3XnnnY19uxpyI6/SVpMwfuxJYzqspPDuMPWc4UyYM4Tff+tNOwEeyLD1SDeNzgUtqePoEAKz8vzS83Li0W4IZEKEsK00L1dhAWg9q5S2sOrAKr79xrdzvj9/aGY7LitsHUqGOoUJxxePz+uYLtnVpQJ5PFB99jB2r6sXat6eV2Dnc1A1XeRcpePYFvCX94lABhujtJtKyPnXTWLr6pqsHoBAhgKZiIiwd6JDMY06ACHspKaDI07AFWBSaRet3jrgE6M/wdN7nubpPU/3+RwGAutHvgjAZyZ8iZGFnc32HVKmjU82OFwKwybkP6kPWATSbKfo8jhw+xzEwknaTQJptT48VZGRA2kV0fhz9Le2CWQ7+EpxeRz297jwU+OzVqxbLWghM8owc0lmWsyq32+h4XA7NbtbATi/8jFU2UVQFgTxD3eszlg/IDdQ6WnBmv5aOeztcRW/+9RzxNu8ebN3+vTp3T586urqlI0bN/rvueeemrq6Ovvh1tDQoOzfv9+9ZMkS24furbfeKvyv//qv2pqaGsfhw4c9y5Yt2zdr1qwD06dPr3700UfL1q1bt+Oxxx4rvu++SL/9twAAIABJREFU+4YuWrRo71133TV00aJFwccff/xAY2OjMnv27OorrrgiOGzYMHX16tW7fD6fsXnzZvfnPve507Zs2bIdYPv27d4PPvhg35gxY5KzZs2a/PLLLweydcG54447Gt9+++3AZZdd1valL32pJZ0UZ0N5ebm6bdu27ffff3/F/fffP2TZsmUHv/e97w0tLCzUrLaKDQ0Nyhe/+MXWP//5z5U7duzY1nEfjzzySPHmzZu927dv31pbW+uYO3du9ZIlS0Jdnfc777zjmzJlSsQiwdu3b/euX79+e3t7uzJz5swpV199dduYMWP636qF/Kqw28EuM3MhqrDDhmGc2Mk6/QhLYUzEUw8aTdVtAphu45MLalLPmHlDKpSTXhmYTlKz70f4QOqGIA5uvxf0ti63yYVDQdEG9PZZt9uWJulYMnpJxt8Bp1AJwskw4aR4QH5n9ndQZIXqsvy8z5yys0vF53hg5ORSrvjWGaIyc+8bYuFX/gmODg/2X83KrUzmAUmG1mOp3tdTzxnO1HOG51zf43fSbBIPMZFwEOwwd0wPYUuy1K2Cng+SuoEhxfE5eiZifGPmNxhbNLZHeZPHC36nnx+v+TEABY7sVjP5KJA9Pq5ZAGP9ji6vA4/fSSSYoL05hrfQ1a2R9ckOR8cqbDXa+d6z4DYfM3HBMdKjB64cpC19Au7ooitMoNTD/k2NtDVGCZS4meR7k0PSJexxauyoUvji/JTAcKgtyvwtN3PUuZCEdcsZcLQ1SkLVGVP20ZUGdKcUHi/ccMMNo9asWRNwOp3G/ffff2TdunWB6urqKbIsG9/85jfrZs+eHVu5cqVz3bp1gUmTJk05dOiQ+8Ybb6wfNWqUCrB//35ncXGxWlBQoAMMHz48Pnfu3CjAxIkToxdccEFQlmXOPPPMyA9/+MNhAK+//nrhqlWrin/5y19Wgcih3LNnj2v06NHJG2+8cfS2bdu8sixz8OBB+wKbNm1aeNy4cUmAqVOnRvbu3dsv+STXXnttC8DcuXMjy5cvLwF48803C//+97/bvcIrKiq6fMCvXr264Jprrml2OByMHDlSnTdvXuitt97yFRUV6bnOe+XKlYUXXXSRnbdz8cUXtwYCASMQCKgLFiwIrl692j9mzJjW/viMHZFPCNtm3ZJ4Wl0JnBqd4k1IsvD8Sid3epYcyI7hxnSoWZLwrb/TE7s7Kk4doSV1FFf6IKpBtHeTi7gWR0LiS1O/lBcRsfzzIsmITSBHFIzgglG5+9F2RD4h7OOBkZNNUrE1CIo7+wNMcYlWar1E01ExqZ3/ydOYfkH37SY9gcwcSG+BC6ODRVN6CLs/1EcAVdMxpDheR89CcFX+Kr4y7Sv9cg4DAYtABhzZrVUGgkB2VCCdHgW3z0FLXZiW2khWD8JTDUpGCFsSCmSuay9dgSSVvyzLUs6qeMtzFaPrPOeCUjdaUqf+QLsIP8fiqJKLpAR7S2RmXTTGXrdhSx2RrRKlhNDMELamG+xpEPf4+MocIfiTGNOmTYs+++yz9s31v//7v4dqa2sds2fProZUrmPH7azlO3bscJ111lnV1157bfPChQujzzzzTNEnPvEJWw1xuVz24CfLMh6PxwBQFAVN0yQAwzB44okn9syYMSNjoL7jjjuGVVZWJp988sn9uq7j9Xptg2W3223vV1EUVFXNayB1Op2GVXwLgqymv2+dn8PhMPLdZ0+Q67xfffXVouXLl9vfc8dneX+IDLnQo2QzQ+AZYOkAnc8JC6dHsbtIQMciGvG67e0aHv7mG/z2ltfsf3+4803am2MihN1RgTRn4laSPuT2/7NghbCLvWJC4XRIomdsL5DQErgVd94XmEtx4ZAdhJIhm0BaqmS+cMkuVEPNmnf5kSAeBE8OMV1x9UmBXHTdZOZdMZZZF43Jqz+uCGGLNnGWAql3UPfSFcj+I5AGhpToZHNzssCnZA9BDwSBdHkddqcjh0tGUWQzlSFG3b42CssHCaQvrYDI/eQ1EKqz2xV2gq1ACoHF6kjl9Cg5xy3ZtF8DcLpzP+ICJeKYrcciFFZ4QY2TkIR62fG+C8dVmimgQG+zw3G76oLsrT91CeTll1/eHo/HpZ/85Cd2/kEoFMqbU0yePDlx22231f74xz+uAnjppZcKr7jiih71nl60aFHwgQceGGIRu7ffftsL0NbWpgwdOjSpKAq/+c1vyjSte4u87jBu3Lj4nj17vNFoVGpsbFTeeuutbqOw5513XvDBBx+stP5uaGhQQJDMjgQU4Nxzz21/4oknSlVVpaamxrFmzZrAOeecE+64noWmpiZF0zSqqqrsD/jCCy8URyIRqa6uTnnvvfcKzj777Jzb9xXd/tiSJP1L2r9PSZJ0P5BfN/uTCC6Pw+4iAdmLaBoPhygZ6mfmklHMXDKK6rOGEg+rHNsfRE1qKB1CV7YC2Z5fCLvhUDvJuEZRhZdPTnqUT1b/A8nh6HUnmrgWx6X0TL0POAOEk2FCCTFw+l09C904FTFAd2Xlc1wRb089pDq+5XAxR93Jc/ue69WuR00tY/YlY/Ne3xNwYugGD3/rTYINUVGh2iE6nJ4DmauFXE+R1HX0XiiQHxd45eNHICVJslVISy2zjMGnLRrBvMs7F32caigs93L9fy7ghgtfxdf0Poy7EKb+S/aVOyqQXtOCK4sRe8ZmZiV2VxO3dDW4qNQFhkYSy9op88YLxVWajUIqGt9noiQixrGExu5jIcr8Lkr9H9+q+t5ClmVWrFixd/Xq1QXDhw+fNm3atOrrr79+zD333HOk+60F7rzzzob333+/YOvWre4DBw54Zs6c2SNucf/999eoqipNnjx5yvjx46d+//vfHw7wrW99q/5vf/tb2aRJk6bs2LHD4/V6+6xYjB8/Pnn55Ze3TJ48eeqVV1552tSpU7vN//zxj39c29raqkyYMGHqpEmTpjz//PMFANddd11DdXX1lCuuuCLjAXHDDTe0Tp06NVpdXT31/PPPn/gf//EfR6wQfzYsX7688LzzzsvoZVxdXR1ZuHDhpHnz5lV/+9vfrh2o/EfIr4gmva2IChxAhLFPKTjT+ieDKKLx+M3eubLEhV+oJtQS4/TzRth2H8m4xtbVNbTUhW3lMB3ZciD/+Zdt7N3YQDa0HgvjcMlMnDsE99Yj+Kt8ILt6XYUd1+K4lZ4l9PudfiLJiF1E01MF0vLes9TPjxyx3Apkq6IQw+C+9+/j0tMuHfBTmTBnCNH2BPGoxtY3j1JU2VkRtELYmt6/CqROrMc5kB8XeHIRyDyKaHoDf7Gb1mMRu1jqjMWjOG1mBeUjPvb9F/oNRRVecLZAoBKu+wcAKz6s4Zt/34hugCJL/Oa6M1k6KlOBTFlwdf3o8he5CTbGcAdyFySmFzMVlph57ggiqHUgkG3RJJu02SxV1jFb3kk943DIEvubwpxWcVJYI/cKo0ePTq5cuXJftvcuu+yy9mzL0pcHAgGjvr5+06pVqwIzZ860C1kmTZqU2L1791br7yeffPJAtvcCgYDx2GOPHex4nGnTpsWtwhWA3/72t0ezHf+RRx451NXnSz8uwO9+97sjQCeCfPTo0c3W/88999zImjVrdgIUFRXpTz311IGO65vnc9T6OxKJbARByh966KFOx8h13p/5zGdG33TTTXam/M9+9rOarj5PfyOfHMgvHY8TOdHh8igkOxbRpOU0Tl4wtNM2TrdCQamHlroImqp36udsE8g0BVJXDRoOBXOaFs++ZIxIEo80g69U5Oj1UoFMaIkeK5A+py+jiMbKi8wXFoE8cRTIYE4FMiE7wYD2RKdxcEDgL3Kz4CpRzT774jF4C5y8vzxzbLZD2KrerzmQOidvCBsj+zU+EAokkKZAKuarY5A8ZkMyAmnX3M66dgzgGxeM51ev7mFPfYilE8xxNSYIpNWxKb3SOhs+8aUpNB4OMbyL1oIev5OZi0cRboszYpwHXoa4qUB2JJDN4QQvuS5AHboW3z4xwY/7FBpDEaqrTpl60gHD0qVLQ9kqoQfRNZYtW9aJPB9P5LwLJUn6FZ0CaCkYhnFbXw4sSdJI4BFgiHmchw3D+EVf9jmQcHoctDen1HUtqQsLim5QMtQnKjIN8BVmz4E8tj+IJGH7BH7m+3NztjoDxIrRZvCWQKSpTyHsnqqAdgi7twqkklIgTwjEglBemf0tRRGa+0eAXO3sBqKIJqkbaMbJp0C6FQ9xLUZczR69sghkf09mxkwv59iBYK/6RJ9SSEbBmUqbiCU1vE6F2z8xkV+9ukf8bk4fSIodwp75iVGUDvV327GnsNzbrS+jJEksvNq0H2sTYlBXBLLU70J2eih37+C+QJzFw1y0bEpQkofB/CBObCxevHjc4cOHMwbd++6778jVV1/do5zMUw1dTePWDfCxVeBOwzA2mL2110uS9LJhGJ28kU4EuLIV0TjzIZB+Dm1rRkK0u0tH8RAvE+cNIR5WKRsRYMOLB81jdSMMJ0KicMZbKghQLx+AvVUg22JthJNhHJKjxwTUJYvjfRwUyPhHSCBzIbOIpn9yIFVNRyN20uVA/unCp7jiN68Sn9o1gexvBXL8rErGz8o+KRlEGpLhDAUypmp4zG4zLkUmoeogSSIP0iSQnoCTSfOq+v9cNFHEGzdD2Kqeec20RBKU+FxILi+jCmRqEjotUZXWaJJS/0eSiqPrui7JsnzieWh9DPHyyy/v/ajP4USErusSkDN/NCdTMQzjLwNyRqn91wK15v/bJUnaDgwHTkgC6fRkdgXpGMLOhdPPGY6uGhi6waT5mQOfw6mw+EtT7b/LhvntTjddImJ2VfKVQvAoaL17APamiMbv8FOj1hBKhPC7/D22COguhH3dH95j9uhSbl88sUf77TViuQlkTE4l4EfVaO8JVrgRfnsWKE64+Z3cVd95YGBsfJKAdtKFsKsClRjJ8pQCeXgNrP0DVF8B1ZfZ3qeakVm4dqDtAF6HlyH+Icf7lE8tJKMZHWhiSR2POaa6HCaBBHF/xgc4jcS064obDvtc0tEcTlBV6EFyeBjql5jmKeJgcwTDgNIuGj8MILY0NDRMqaioaBskkYMYCOi6LjU0NBQBW3Ktk4+ReAXwr8AUwC5bMwwjf/O/7o8xBpgJvN9f++xvuLIU0Sg5fMjSUTzEx7mfzY8MTZyb58w62iJevaWie8pxLqIJJ0QOZE/D14BNWLN5QRqGwdt7mnh7T5NNII8FY+w+FmLW6BK8eVjh9Ai6Bon2nIQulmaufv+a+1k4bCFLx/TCwappj7AqAQjW9IlAqqqOYRjoWv/lQCaJ4YSTL4RtRgjiSfO+3fhX2LRM/AbVlyFJEg7Z0UmBvPwZUTe4+QubGcQAIhmFQIqkx5JCgQRBIOOq+bu5C+DDx2DKlTDpooE5F1WkJ8UMQQajHZpCNIcTVA8tBMkDaowin5NNR4SVWmng+CuQqqp+pa6u7g91dXWn00M7vkEMIk/owBZVVXOa/eZThf0osAy4FPga8AUge5lwLyBJUgB4EviWYRid8g0kSboJuAlg1KhRHd8+bnB6FLSkbj645bwVyAHBwXfEq7dEqFp9KKIpchb1aBu/009YFTmQPS2gga4VyPr2zqbdtz66gXUHW7hz8US+cWF+/bbzhqVq5AphyymCtnzPct44/EbvCGQ0rQlAsmdtJyfOHcKuNcdSCwyhPvZnCFszRObXyRbCdpnfj61AJqPma+o36NgZSdP77hc3iDyRjHTIgdRxmwTSna5Anv0teOqrcPCtASSQYuyJmQpkQtNRNR2HImMYhp0DScIkkF4nQTOlqdR3/C18Zs2aVQ9ccdwPPIhBpCGfJ1CZYRh/BJKGYbxhGMaXgX5RHyVJciLI46OGYTyVbR3DMB42DGO2YRizKypy9Es9DrDyEhMxDcMw+p9Arv0jvJ1HDVHbEVj1b+L/hcNAdgoFshft5OJ6HLfcOxuf9kR7nwhktiKa/Y2d/U73mp0eWnvZbadLmNYguRTBqNlbdMUnV/DV6V+lOdbcu9zNWBqBVHtmoXrhF6fw5Z+enbFMS+pomiF8IvsIwzDQEA/Pky2E7XZ0JJAmcUykCKQiKRkE8lgkjawPYmCRyCSQcVXD40wLYZv93pl+jZgsJwfQftgmkKlwdNRUriMJjbiqCwLpFASyMM1R41T0gBzEICA/Amk9MWslSbpUkqSZQPbmsj2A2Rbxj8B2wzB+1tf9DTQs49pkXEPXDTDoXwL53B3w8r9DohvT+LAp/p5/F5SMFgokiHBsD5HUkr2qwjYw2FC/oXcEsgsj8YNN4rN7TRUiHFdpiYj1EjkqaXuEDf8Lr/8ENj4q/jatQXIqkGZ+p8fhocJXgYFBU7Sp58ftgwKZ3lXDgqbq/RbCVnUDZEHmT7YQtiRJmbl01nef9hs4ZEfGtXi4PdVWOK71vo3lIPJAMppZRJPU8DjMELYiE0/PQ3R4Rc/sgYJJIKN6ZwLZHBb3R6nPBQ4PqHEKvan1BgnkIE5V5BPC/qEkSUXAncCvgELg9n449lnADcBmSZI+MJfdZRjG8/2w736H1VP1mQc32srPgISwd70Ip1+d+31LPRk5V7yalaToSVDy+TlT6E0RzUVjL6Ih2oCqqywevbhH20L2EPb+xjDN4QRrD4jcziJzcD7amnpg9JlAhptg+ddTf4+anyLrruy5nJbe4VE8DPGJXK36SD1V/sxc1R3NO/jBOz/g4cUPU+TOkhKQrkAme/4QlBUZWZbExAXRjUbXDLsHe1+gagaSLB6eJ1sIG4QKaefSZQlhd8yBPNKe8u+tD9czsrD7HuaD6CU6+EDGkjrlATGGZSiQIJS/Xtw7ecOMDESM1D3113cPUuxzcSwo3iv1uyDohmTUHqOAQRufQZyyyIdxvG8YRhvQBizqrwMbhvEWouX9xwLDJ5YwaX4VqplcXT4iwJjpZT3fka5DvE2EZOxlGuKrMGDHc10TSOvhZ7UQtBRILZkRDsoHvSmiqfJX8Z053+nRNumwCOvbR9+mKdpEJKFx92MJdDVltBxTY/xiwy/YWd+Ao8iJ2jabpNZHAml9b+fcCasfgD3/hIpJYlmOPrwxMwfSLTuo8Ir0ieuev45KbyW/uOAXnF5+OgB3v3U3u1p2sb15O/OHzs+yo7a08+jdQ1BxyhhJHUM3zFzc/qnCTup6SoE8yULYIAhkLKnzzp5GZoSC+CHjN0gnkJFkhL9u/6v9Xl2kbpBADhS0pJj0dlQgs+VAgljvOISwI5oYT2UJfvnqHvtthywxtsIPDV4wNMq9sr2e29HPxX2DGMTHBPkQyLclSTqAKKR5yjCMloE9pRMTvkIXn/jilL7v6M3/B6//CL6zF/ym0XCkCduzff+bIp8xlz2ORYSsgVe2Qtg9t/LpjQ9kX1HmKUORlIwHtbNsITdNvYPZY0p5Yv0RXtr7Dn/Y/AdkHHiqQIrPJt5XAmnlXJZPgtJxsPslKB4tluVQ3uLmb+I2oNKX8vWrj9bz0KaHuGfBPQDsatkFgJwrIyTaij1BSEbgnmKY9QW4PH/ffJfXgdNjEGlLpELYcn4E0jAMjkWOoRs6Q3xDUNLsiVTNQFZEnmlW9fRjDrdD4W9rDvG3NYd4xdXMOBmhPJv3mENy2K0MH9/1OHta9+CUnST15GA+5EDCHsfSimjUzCrsDALp8AxICPu9fU00hxMsTUZRgIjuYPqIIv721fmoWiqv3OWQhQuEQ0y4L6kuIWGcztjyU7eN4SAGkU8rw4mSJM0FPgvcLUnSNuDvhmH8tZtNB5EN254Rr8GaFIFsrxWvky6Bnc/DhkegIIelT8sB8eoyCaQVtu5FJXZvFMi+Yoh/CK9d85rdCvHalZ+nXo4yb2wZZ08oZ9PhVoL717ABcITOQw+8QkVZEwm1j558FoF0uGDqJ2H1z6CyWizLpUACbl1H1lVKPCnF+MpxV/Ls3mc5//D5metrORSSWKsoeAoeNVUUA9b/uUcE8pKbp9FwqJ3XH93Jyl9/SKQtQfGQ/B5eT+1+invevQeAT038FD9Y8AP7vaSmI3tqcUoehgeG530+Hxe409JMPJJVuGWIkKXTm6FA1obFfbjq6lVc8PgFHAsPEsgBg6UCd6jCThXRKLRF0grtnN6eq/eJMPzj8+L/1zySitqYiCdVWv70GYZJzRyZcgGjEQTSpcj4c/XaNs83oGhcP390z85nEIM4yZBX0pxhGGuANZIk/Qj4GfAXYJBA9gZWyDm9Grfd9Aic8TnYtQpW5NEl0ipgsRXI3ATyka2PsLNlZ+ZpSApJvedFNP2BEk+JTchcsg/khF3VWCKF+KzzJTZQThFTaeAVdNcBEurkvh3UDFGhuOHs2wWBe+dXYpkjF4HUcRsGaAlkKUVE/m3ev3FG5Rk28TgQPMCj2x8llqvCOtoKBUMFgexlX+3K0YUUlns5diCIahraVy8clte2W5u2EnAGqPJXsbN5l53TVeR1CgLprqPSMybjM54s+O5Fk1h/sIUSvwvfa2lFMWYbPYfssK176iP1jCkcQ7m3HFmS7UnOIAYAHVNxECFsKxwsclfTQ9heCNX37BjHtopUFYCGHTB8VsbbkfZWLlbWAtBqpr5GNAcuVxf3galA9tRNYRCDOBmRj5F4IXAVQoEcBzwNzB3g8zp5YYWMo2mZAJYCOXwWfGO96HOdDS98D46sEf+3Fci0HMgsMAyDBzc8iEfxUOhKVRvXhGvEbo5zCLsjFMmNJCftpPQSOUTYDM3+vys/wb++u4xjPI4/WUafLrt0BdJdACVjzNQBcuaOxjDwmAQS4JtnfpNSTyl+p59PTfyUvd7h4GFBILtSIEvGiv9Hcvy2ecDjd3LBDdU93u5Q+yHGFo1ldOEYVu5azbwfvQLAhMoAD90wC8Vdx1Dveb0+rxMZF50+lItOH8qLW2rxEkd1l+CItwh1ylea4QPZGG2kwleBJEl4FE/u33MQfUeicwg7ntQzQ9haxxB2D3+PtlRBFOHGTm9H21uw4grFIdHJLqwrFHRVHGlNNgcyH3MQg/iYIB8F8kPgGeBewzDeHeDzOflhEbZIMzTvF/Y99TsACQKVJiEcm33bohEpAtkxBzIHgUzoCVRd5cYzbuQr01KG8tP+Mg3gI1Eg0yEbbpDbbQJZpAdpMpWw4UXFfHfOd7nzjTsJsqNvB0pXICEjeT+nAmnogkCa26Z/f+lwm6pElwrksBJxzPQHmamCDTSOtB9hRsUMyjyVGEobl5xeSVyF13c1sKNpH5IjwpiC8QN+Hh8lXAp4pCQxT6kgkGY41CE7SBri3mmINDCtQtwXHocn9+/ZBd488ia3vnIrr13zGuXe8v77AB8BwnEVt0PG0U+G9RmwQ9jiPtx8pI2Elgphuzva+Di9PbbAIng09f9w594XiUhbp2VhVaGsq89rjRWDCuQgBpGXD+RphmHcPkge+wmWYhhthseugaProWoanHNH6r1csAyvHR6wCiGUrkPYoYQokOjo2WipkR+1AikZLiQpSYFHfI4Co91WIMv9BSwZswS3UUmSPoYTLU8/KwSVng+Vg8TF0ewQdlfwxMS5xbL1613/F2ivAW+xOE4kjUC2He28fj8joSWoDdcyqnAUpa5KJMlg6ig4a3w5hvMID374fzF0B+eM6DeDhRMSHkP8hgm3aWFrhqctI3HDMIQCaVbbexRPr3wgn9j1BADrj63vh7P+aDH1B6v4xt82DszO04poDjVFuPy/3wLIrUA6vT1X/YI12EYfWcLfiZCw12o3zPtfcZPQDFz5KJCDBHIQg8iriGawUXt/wsoza9wNjbtg6Y9gwa3225ENG1AbO4dbANjRjjci4yxLIzzdhLCtPK6OfauL3cUEE8GPXIE0dCeKkkAxSWNAayMiybh1A4fpcemQ/Kh9JZCqSQKt7yudQOZSIHUNr949gfSufgCA+NF1MP3GzDff/514HX8hbHs2Uwk5sgbKB0b5qwvXsalhE02xJnRDZ1TBKJIJ8TljNDPMNxTviMeoizWRaD6PCaUnXwFNOjxmtx2bQJohVKuIJpQMEdNidrW9x+Eh2ouqX4uANkZz3MMfE1jD/gtb6vp1v89tquXtvY18fVgzwwCcPiLJlIOExyRvnWx8HN5M0vbur2HoGTDmrNwHazsCZeMFkcwSwlajQoHcwjgWsAUwiKt61wTS2QWBDNXD1meERdv0T+fexyAGcZKgZ87Tg+g7rNBNjTmzLx1nv6U2N3Pw2uu63DwwvIiRF6X9bN3Y+ISS2RXIYncxh9oPfeQEUtddSEqK/Pq0NiKyhDft2eGSAsTp1Ca9Z9ByhLAdnpyWSTFLgVS7JpAO2YFsGESzKVbJKEy7BsZdIFSU9AfZMzfD8NlQMbGnn6Zb/OCdH/BOzTv23xNLJnKkRVx7Ub2JMAeRXU2M4hq2Nsyk5CTvpmERyJjLzHpLC2G3J9rZ17YPwA47uxV3r0LYBS7hZ1obqs1Y3hiK88GhVmaNLhnQ7/q1HfUsW3uYT88ewYXVvXcuSPTVNisH7n9xO4ebI3xxyMNigdOHmkxpFDltfJyezBD2qrvE6z2dw9A2gjVQNFxMALOEsFUzhL3RdzbTonsJjFlI4pCeUbnfCV0pkGv/CG/cLyJKgwRyEKcAuiSQkiQpwG2GYTx4nM7n5EdcEDpqzeY7JWPst7Q2MaBV3HEHgfPO7bRpzW03oUcPo6tJGoIxhhR6urXxyaVAFprt+yyV76OCqjqRpBRB8yZbCcuyyD004ZYDtEm12TbvwYGsIpoOIewc6iNATE9SZhjwx08Ion/aeXBZ51tBcrjxGEb2ogs1llItHB6R9wow5UqhSNZvg7ZDcGS9KIya89WctkL5wjAMtjdtZ8noJXxtxtfwOX0MDwynrV2EzJ849FPhSmnIhJvPFLYl/dDV5kSGWxe/TcxZLBaY94XH4eG92ve4/vnrAeyOQ16Ht1ch7IitGoq+AAAgAElEQVQqSM7B9oMZy+9ZvpWVm2r53NyR/PhfpvfqM+SDR98/xD+3HyMUV/tEIGPJ/ieQSU2npjXGJOkwE9vMyU2gkmh9qg1rOoG0OwiBmPDpKmhqfh23DrwFR9fBGdeJMTcLgdTNVqZHh1zA6TvOZdOnl5D4yWu4usyBNMePbOH0uDnJ/eIJ2UxtEIPod3R5JxqGoUmS9DlgkED2F8ycRBslKS8xIypUEfdpY/FMmtRpUyXgxwhDJBZj3o9e4dGvzOOsPHMgA67OIWyA9l7ayvQXVNWB4UgRSHeilbAkEdBTDzC3XIAu9zCBviOsMLSV82kpkF10X4nraorIqnH48O9w6c86K5aKC49hEO8Q6n7zyJvscml8Jf1Y1u8072uCQLYeFHZC1gOuYjJM6HmLyHQ0xZpoibcws3ImE0om2Mslw0us9pNcOstJsdfFX99MciAIVYUupFzG9ScJXIbZ69iZqUDePut2FgxdAAiVfmblTEAokL2x8bG2ef3w66yrW8fsqtkA1AfF8a2+ygOFVtM7cW9DqJs1u0YsqXW/Ug9xtCWKphsUSua9/Lll4CslmkiRO7uIxqGgG6BquijisZW/KEipe/bFLXX2uc4ZW8rwYjO954V/Fa8j54mCxfSKbBNGTIx9Q4dUwo4aLv75ahLdhbCtpgPZFMhkBPyVqVz1QQziJEe+nWj+G9GJxh5RDcPYMGBndTIjnUAWDM0o4NBNAil5sxd1SC43uiHhQAyY//rkJl7+lBsv5FQgrRB2RwVyqH8ogN2F46NCIunAcKqouopDduBMtBCRZQoMTbR9lGW8cgCkKJquZXRRsaFr8NB50LwPCobA195O2RxZyFFEs9up8MMXvpDRD9nC4VgD1RaBnPUFeO0+QfQClZkrKi48ukGsA4m/9ZVbodDDjYpbpPKnF+sUVIGnGI6sE/uc81VY+/usuVo9hdUZZ2JJZmg8ltRIts7nugkLmDa8iD+vfBHgpA9fA7gN8cAPO0wF0uyDflrRaZxWdFqn9T0OD02xph4fJ5IWZv2Pd/+DFVetAKAtKq6NSKL/iVk6WkwCWdsWIxxXcxtid4NoP57njrogp5UHONgsvpvTKxQIguErRQKiaWTVnaZAggilOxQ5de8kY6R3wP3aX1PFSoUeB2dPKAfD4OeN+3HN/T/ivj26Dna9ALUfwtAZqROLB9ENiU8vnMRTW9vY3xTGMCDg7qKY0faBzKJOJyKdx51BDOIkRj5V2GcAU4F7gQfMfz8dyJM6qZFIUzWKMzsZ6BFBIGVv9kFIcrlBBwca37t4Mkdbo3zzH5vNjbMTQUsR6ZgDedP0m7jljFu4ctyVvfkUvUZrJMGnf/cOSx98k6UPvkmLyaetggVHrIWILOHTdTsk5FUKQDJsMtwJkWY4thl8pYJEBrNUN6sdFEiTQL6aiLOhfgMeh4cCV0HGvzklU7g4ZP5eVWbYseUgnaA4RQhbz64uBa2QW7ra6QoI9XnnC+LvseeYn6XnpCUdR0NHufWfoigrXX2EVFjS41DwOBV8Zti6zO+CcN+Oe6LDaYawQ4oVwu5a0e6tjU8oGWJGxQy+O+e7HAgesHMhW6Pi2gjHB3bC1hpJit8T2N/Y+8KzaD8pkKG4ykU/X831f3yfg03ifM6oEgStWRWv6WqnrosJmxVGtq18bP/FSKeONP/4Pwt49tazmDGymN3HQmzZewiXFsYoGiFWqJwqXp+5NWM7Kd5OCA+lAQ+fmj0Ca65Y5O2CdFtENluBVTLSZURjEIM42ZBPFfbJ7e9xPKFrYpCZsES0tqu+IvPtqHioyb4c3oAuN4Yu4ZB0LphciVOReeq5A+CmewWyQwjb4/Bw84yb+/RxeoPnNtey9kALF5rn7zXK2GsIAlngKoD2OsI+mWG6Kgy4vcX4HKIwoS3elr1fs2W8PuYc+PCxTJN2Cx0VSHOgT5pTqJ8v+rldAGGjYResWyn+b+WqthyAkXM67DuJ2zCI5ajWrpM0iiBTgXT5oXiUUEUARs4HSekzgdxwbAOqoXLW8LMy2i9C6kFthQlL/S4iiSjz2QQ/vRhu25CRk3sywSaQsnn9dNUWzzDw1O8ipvY8DBwJHSPQtI8FZ94JwIMbHuSMijNoi4rjDqQCqesGrdEkF06u5KVtx9jbEOL04b3rb95fBNIKqa/Z30xDexyPU2ZisVAQf7m6lnvGnJGhdobN/6crkEAacYt1SiGZMbIIt0Phf2+cB8CTzz0PayHmHyGiM/O/JiaYm/6RkUOpJIOE8FGoyBR6UqpjsRaj/oEH0GMplVH2+yi/+WbkrhTIQQI5iFMM+XSiGQL8CBhmGMbFkiRNARYYhvHHAT+7kw2W+jj2PFj49U5vWzmQcs4QtteeJRd6nNx49ljWrimEIDlzIMPJMA7ZgUs+/mHK9Qeb2VoTRJYkFFlCkSSWrT3MaeV+/vCF2UiSxIq9Ndz1lqlANu2Flv2Ei8bij8chJoqKfE6RU9QSa2VU4ajOBzJJ1yv1AS4EjEgznTL6ciiQCXNFT7ZimnRfzmLzuFYv8ox9x/AaeoYCme5+VWskmASZxTEOb0qB9pWJ0LuvLHcXojxhFfLcu/Dezu/ZBNJUHgNujrREmaTvA0OD+u0nJ4HUdbwf/gmAsOwTatZrP4I3fgIV1fC11ZmkJB7EU/MBsYJAjh3mRjjWzJBklHFJjYklE3lh/wu8sP8Fko6vQXIM4UT/KJB76tsZVxHIyF1tj6lousGMkcW8tO2YXXXfG/RXDmQoTXH1uxWumzeaEX7R9WX5tja+2BSxyepl04eyZIoo/LEqoe1KbDuEnfmZirxOu/2hhRGySANpdFQy0lo4agFs/KvIOS4TzhdKIkTEzKe0GhkAVOz8kKbf/wHZ7wdFwVBVjEiEwFln4Zs5Pet5iJMdDGEP4tRCPgkyfwb+BNxt/r0LkQ85SCB7Civ/0eXP+na3OZBuL4YuHhgFHvHTeT1uQSC1HDY+iRABZ+AjKZL41rIPONzceaC9Y/FE+3y8iiBV0Tf+C1pE6DnqcODTDfifi6FoOOe6RvGyG/624+9Mr5jW6bPEg424gacOebjQCa1Nx8jU3hAKpKSkDNhNpSAhgYSMU86S9+RIszhy+QTpe+2H8NbP4MsvpvKp1DhuwyCcpgKnF2DU6vGMYxpOH5Isi97noWMw5mzxvq+0zwqkFXbNRohj5sPYbSqQ37toMu/sbWR+2wtQQ/bw/MmAmo0oB4VRdVAqgit/Larfaz8UvZIjzeAvS60fbhQpCR1uGU3XaIg2oBs65d7yrCb8ITWGX9eR2mt4/PLH2d+2n08++0kkVxNExxCJ952YbTnaxmW/eou7LpnMTeembMCs/MeqQg+KLBHpA1lNJ5BxVetE0vJFe0ycwyNfnsu5E4VHJqtF2kYED23RpE0gf/rpGRlV2OLYHUPYmeNJeaDzbzBEF0U5NVSkCGS5WZTYsNMmkA41bBPIwjQC6ZXEMcc+/RSuUaOIbNjAwWuvE4qk4hJWYPEstmLJsGgYMIhBnCLIh0CWG4bxD0mS/g3AMAxVkqSBzQT/mEJPJAi99jpGIqVEyQUBAuedJ0iPZeHjLsi+vZUD6cuRA+n2YOhwyKhkpJm/5nWbA2sXCmTH/EcLzeEEcVVDliQkCaQ03U6SRG5cX4hnY3uC6+eP4rYLJqAboBkGhmEwrChFkL2mKhvd9gxoEkb1lYTjH+IbOQ88Y6FuM2cfeRVGjeC5/Su4YNT5LBmzJOM4aqgBN+CunAgtoGXrN63GOxDClAKpkEOdtUzfLVXurNtgx3NwbIswgrcJZAyPbtBkpH6DhmiqsrRWM8lkYAjve9wkkDgHoOp0uPoPqeP5yvrUKxtSuaReR+dJSLyDArlgXBkLxpXBI2aFautJSiBjIqXh2sTdnIkXppl9zHc8Jwhk64FMAhlpwmMYJCQJ3dCRJZlgIshlT11GS1zsa8HQBTy85OFOh4oYSfy6Ae21yJLMqIJRyMjIziaGFXlojvS9CttSFtfsb85KIEv8TnxOhWii91Y86duGYiruQO8IZMgkkNaEF4BEGENSiOMkGE0SM8PW6f6LbptAmo8aKzTcIfdwvvsA7F8twsfv/QZC9YxsP0bUcHEk5mOetaLltbrlSZEaA5QkatgvVwGiAMeCT9IxAMkpSKXkEuOGkUyIgdFXmv0+TUYHQ9iDOKWQD4EMS5JUBhgAkiTNB7pwbz110f7Sy9R8+9udlo995mk8kyfDq/8pFriyh8bsHMhcCqTDSUQu4mb5O/zTUvC8JoEM1mTdJpQMdarABtha08alv3yry8/z3Ysmccv5veuUEktqRJMaQ4u8VBbm9jX06uIBET3ndlj4bcKJEPrfFhCYsBRO/zIA7p9U8719I/jL6Qb3vHMPv/3wtzhlJz9Y8AOmlk9FDQnVLlYwGr1ZQo9ky4FMpMLXkCKQMihSDgIZGALn/SvM+Kz4e9FdcOYX4MEpmdX0alwoVkZqXpXeieRPx95h9pE3OXfEbL4yVIToNmc7nq9UEFMQ+bJv/wLm3Aie/PPYYmoMh+TIqqjaIeyOapJFHE9WBdKcuLXLRZkG2VZaQushGD4rtTzcgMcQ68XUGD6nj9pQLS3xFs4Zfg7hZJiDwc7flWEYhA0dn6Hb96NTcVLiriTuamao30tNWwxNN+zOSz2BYRhmCotIj1D1zCZhrRExgSn2ufC4FKLJ/BTI13bUc7glwucXjLGXpedAhuIqT6w/wl/fP8jN543n2nlZ0khyoD2eSSDrI/UcCB1iqtMPUYlgTCiQXqeSMVm1FM9UCNtSIDMLm+5r/Cb8xfzDXwGj5mOUnMaDWwooDqXlKXqKoHwibHlC/AMqgLWeM4BMBdKDRpR0AilebWEg10RvMIQ9iFMM+RDIO4DlwDhJkt5G3HeDNvtZoDWLQWXM4/9ADgSIbd1Gzbe/LZZHW2D7crFi5eSs2xvRKJLLhaRkn+1LTgeaJpHwpmxkPD5TzXz1P6H6cqgQoZo9LXv4r7X/xZamLUwontBpXwcaBVm9c/FEygJutA4dK3/96h62HO39PMFSQ0q7sYjxmg/0qFl1uad1DwBjC8fa6yRcJQwLhfn2mffz4uEn0HSNVw+/ynu17zG1fCp6uImY4cRXUEQb/uxh4I4KpKkUxCVwSDm68UiSII3psNIP0qvp1ZhJIMVn2da0ze4Cc2NrG38sLmJt3VrOnXZTl9+FeDC9L/5ftwle+Q8oqEKfdBUYBq1PPkXhJRfjKCvLuYuoGs2ez4mowpYlcCpp5EXXBIGCk1eBNHuUJxy+zO4mdl5rh88dbhAdiIC4Fsfn9Nl+qddPuZ63j77N9ubtnQ4TTYTRJfDresaErtQ9lHpXI8OKvKw/2EIkodq933uCWx/bwJajQW5dJFRHrQOBtBVInwufS8m7YOdLf14LkEEg00PY7TGVZz+o4XBzlGVrD/WIQFoKpGWNc/vrt7OpdRM3lBRAEIJRVRDIDkb2Vgh7xYe1qLrBHH/6fWfQLkksHDOSnx9r4MJLfyfunarTwVuCA/jbPau42vTeNAyDhlCckhtfxZlmzXTrYxtpdlRwCWQU0bjRBYF0ibFLNl9tAuktyT7GJMODCuQgTinkQyC3AucBkxAGXDvJz/7nxMamx2H7s/CZv/bbLvWwUDo8kycjOZ32gKO1h8DsesCVv85ZqKBHojnVRwAcDmRdywgHuQLl3J/8LN9z/h2a9tgE8s2jb/Ju7bvMGjKLy0+7vNOumsNicP3s3FFUFHQmUP/sYxK+ZZhc4uuGQJqh93eD+4nsXcG2pm0AVJdV2+sk3SWUSDWUFM9gybiFAMx9dK7t07c3fBjFUUiJz0mr4ScQbe18IC2ZamMItlKQkECmBw9zSz3OIJBx4QOJzuHgYT733OfQDR2npPCV1iBPV4wglAyRcOQgqhZ8ZeLBZBiiry5A6Bh7Fi9BM/ujh999l5G/+XXOXcS0WE4CmU3pIVgjLKBcAZEX+PNp3X4FNtyFcM6dwlHgRIO7AIaY9i2mWqwq/lROHQhVylOcItAWwg2iBzqpnFLLzaDAWUCJp4SoGiWmpn3Xh94jslv4agbMELaFAqUKybmTYUVi3UhCY3ttO8vWHubyGUM5f1IHX9E01LXFONgUJqHpPL9Z9KVuMu8tVRPn+OPnt7PxUCvH2sW5lvpceJ2KXd28clMNr2yvt/c5pszPbReOR5KkDELdEk7YnqAdCeS+RvH5Nx9toz2WzJsAt8fE/W2NWUfNbkjLPQpISdpjSaIJHa8zk0AOLfLgkCX+5+39PL+5lve+PkW8EQ+CJHHIVAd/XVLEhZMuAUfmODOk0MOf3znAosmV7D7Wzg+f287oMh83nj3Wvv4/aC9iUpW4JwtN6x5FlnCaUZGUAtmBQPrKxL3SEYMh7EGcYsiHQL5rGMaZCCIJgCRJG4AzB+ysjgdaDsD2FSax6GIwjIeEt6DDLUIgXeQEau0hJI/HHniUgCAbeqjdVkFw5+5SoEejSDnyH0GEsCVNy5gtF3od/E07SxDIUOohUXN0DUWazp/fexq0Mph4dca+msNWuCv7Zx9R4mXTkSxEjFSFcVf5kS3m/kty7N9CqQ4u3WBZzessq3ld7BfJbikHoLpLKGVnxsO/1FNKU1QQyC+pm2GUn5v9LtoIUBjLRiDjmb+zSQTjkoSUKwcyGxSHSOjPCGELBTIqwe83/goJid8v+T0j63cT2Pd1/A4v4WSYY+Fj9iaxpGbnItrwlYtq6PuGppTOUL1NHgH0UNfWMjE1hkfJpUBmOWbYvGbOvl1c50YP8uYOr4EnvpT/+scbX3tbqFJmCDupdFAgQXhx7n0VXrwL3AE4+w67iAYgqolJVLodltXFqTXeSpVD5NDtWn4zq5MNUFqCz1sGB1aLqvbKagqVkciOCD6/UPTDcZU/vrWPVVuP8eKWWn7+2Zl2zt/kqoKMlI/PPPwuB5syPSv3N4jJSyShEktq/OGt/Ywo8TKsyMuC08oo9DrwuRQRhj66nl0vPMOq8FmUB9zEVY2nNx5l1ugSFowrY1ttqhhk7YFmfv36XpyylDFJ3XCohVhS5/IZw1jxYQ3rDrSwaHJu0puOUFwVaYMuBU3XaIm3MAE3u+U4gUn/zoH2nxBTh9jWUhZOqwjwwQ+W8NNVO3ns/UMY7gKRoR1vB8VF+/9n77zDKynL9/+ZmdNLTnrZ1C3Z3juwwFKXJlVAQaQr2BARFBTEnyAqgoCgoFJVmkhZelnK0nZhF7b3kk3btJOc3mfm98d7anKSDe2rLrmvK1eSM/XMOTPv/d7P89xPMgUgjjSAPAJctGg0P31yPcs2dxJPRjlCMZXrntmYs95R6apvBYtRxmYyQEI8u9IE0ixIphZNhsRTE71sqAmRJjNCIEfwJcKgBFKSpEqgGrBKkjSLjP1/AfC/f5ek8soiXrCXDr7eE+fD9lfE32f8HSafOOiqWiCA7MjkG8pOEV5W/f5M1d4gBTQgCORQCqRkMKBoiZyHe4HFSC9JUprVxaTNs5tRiQSUjBPdTvqhLxSjwGLAOEjf15oiG32hOIFoAkdWN4tXN3VyyT9Wo2o63zpkDNccNynv9r3DDGEXqCrLWtrwX/gS7TJc9MpFKFKuSqZaiiiWAuzJGvxLrCW4I25ULaOUFNlM9OkOGqJ5ciAHhLDFdY5JIOmfMJxosmcKopL7LlZV4pLEU00vcqRlFAurFkKPKE6xG+2E4iF2ezIG595QDIsr97MOM5G9b09GD3kprPNQMgnwd+SsM1iBVXofQ4WwYyrX82e4/zbxQs0c4Z0JwlrqkIH5u0MiFoLWDz4Z6fy/QM8OePFKoa5WThX3nmJGNppzcyABxh0FK++B1feLQoy6AyDYkwlhJ/3+AskIgjMSoMgsavw9UQ+V9kpIRPmJOcwOp3i9uvEY6LoHnrscLniJAn2qOC11LVBDKKayuyfIhAonzb0hLn4oc3/OrS/iiUuFyt7aF2KPO8RFi0Zz+MRyPmjq5bbXtrO1U0xGewIxdnQFUDWdK5dM4ITpGSXYmgph//VofgS4Z5zCjafNJhJXWXzzm3zj3pUDLttdb+5kbYsHk0HOIdo3v7wVgFNnVfPs2la2dfqHTSD9EfH8kCQJT8SDpmucptmQsHKTHuUF98+QdQsu+8nA4pxtHWYDVS4LMVUjjBmbpIjP0mTHnUzziSefE7qu84fVf6AtIO6x6WXTGVNajzsYI6FqTKhwsvT7B+EL5+aFljpM9EX6+Ne2f2EvDOLUZqLFYiDLSAbx3MsokMkiOVuxSElKdsoSJ5KMSIzkQI7gS4ShFMglwHlADXBr1us+4Jp8G/xPYbgEsmsz1MyD1g/zdzjJghYIpFVHQPiIAZo/MEwFMjQMAqnlVAy6rEZiGEmYCjAEsxTImIcxuiLOvWlgsUxvMEaJY/CQam2xOI/WvhATKzPnvK7Vg67r1JfYWL0nD1FLwpOuCN2HuhcLUKhpFBY1Umsr5voDrqfGWZOzimopximFScQiICy5KbGU0OJvodu9Lb1ekc2EBweFnndhxzIYd0TWTjJFNJ6nnya6aTObXKewjhYsn4ZA9suBPNvZyIyGw1HXPMzE8tx+y3ajnd29vTy+Zl16k65ggIp+BDK4djvRNg/GUhvuLQmKJwTB35mzzr4IZCQRyVuBDWCPtPEVdRmEJmbIX1lyAmArHs47z4XJBmMWf/Ltvmi4kuYtKSU6FgCzI0mM+uUFHnGt+OnZAXfOESp+sBtrkkCmfDUDPSLn0fHKdRQe/XMA+pLV3Yme7TQZDZxZOpdLDr+ZUksJdOyAHvHd7OlzoqhlPN1yJwbnWfgjC2lyhzjvwAYuXDSa1j6hMP5zZTPPrdub7sf8YZPIqT5ldjVTRrmwmBRBIDtSBDKa/ntiZe7E1Go00BvMpKCMVYQrgMWo8OdvzObt7ZnJZkWBmaufXM/aFg9jSu18bX4tv35hCwC3f20mlz26BoAJVWack67h3Z5z+DZXDeujCEQTuMwKbHyanmThUWkizhJbDXd1nURB6Wra1bdJGHfl3T4VIfGEE9jMTvEctbjo7Ucgm/3N3L/xfipsFUTVKG+3vU2d/Tb6gjESqk6RXfhFljkH5pc/uuVR/rT2T0glJgoC8yAST6uPMEgIW9fE9yt136TshUYUyBF8iTBoLqOu6w8mu9Ccp+v6YVk/J+m6/uT/4Tl+MUj5deULd6aQiBH1t7GrZiYtBgU9X25dFtSAP0eBlBQF2W7PDWFbBieQ+j5yICWjII4Fpow6l6oejFlK0yFsXddp18KMMtgFOQ52Q78imd5gbMjwck2ReBC29vNx7PZHKXGYmVVbSJd/8FZvqRzIQus+yFmaWIsB8LTxp7GgakHOKrpVFI0sfX8D037xMlOue4mPNnbjdm+j7d7F6fWK7SY+0JIFSs/+UJiH73lf/J+lQO796dX0PvQQ9xdcSkhW4BMTSMeAKmxjQQ2zDr2WuY46HClymRxUdM3C7l43r2zdkt7k6qdX8fOn1+d49SV63ch2O2WnHoQaVQj3GtH7cgmkHs9v1/Tejh5WNfUSToQHJZCVweTxT/4zHPAdQardomgJ2+CFOf9zsCTv7dT9Gg2A2TlAWctBqr95oFMU0SRzIN/YswwAfzyAQdcxh3tzFEiAve2rSEgSk8tnUGotFWkuVdNFHqSmsbM7yGjlZACMhavY0R0gltAYXWqnosDCnPpi5tQXc9iEcmIJjW2dfpZv6+byx9biNBvSE7iKZGg7lcoRTWi8u6MHk0GmoSTXqstmUnLyGEdrTem/Z9UV8YMjGtM/Z86rY3Sp2P6oyRXUFmVI0Ekzq3n4ogWcf1ADqixU2I8Dfx/Gh5C8nJEEx8kr4F/n4n7r1wCUxMJgslNsaKAy8XUMejHI+Z8lLmty0heKg7kALeKjp8+LOxk5CSQVwPU9wtfgriPu4oKpFxBOhHHZVHqDMXpDsUEjIYm+PtZtegMAXYpRXWRCj/cjkMZ+VdjWJGnM7ngVC/Ks3ca0Tbdx+rMjNaYj+HJgODmQ70qSdC/7WyealAI5FCn0tnBVaTGvd74MtdX8xrOZ44fYpRYI5hBIEGFsUUSTrGjeRwhbKR5ggZ1GQhYfV4k5M4tOJX/7jUVs8TbTuX0loXiQCDqjLCUiry4REYqZOXNuvcEYowoHt9epLcookNno9kcpc5ipKLDQ6Yui63reXMi+oAiRGwYJkacR9YucwqHyUG3imry3YRt2x3iOn17F5m0eNsgSzZOOAc9H4lpYJB5Rj2DJ9DoWb/4F/G60IHoXLRto4wO07myBhgS69tkVyLTRsaUgk4ua9KyTJRuSHEUyZvLNNu7tYkOzxsIxJenQo9rjRiktwXHIwfCXVwh2mDG4esjOGFH9/ryndNbfREhywaIIpab8inp1eDsJFAzlkzMddTo3CoP1T2AV9F+PdHQhRSD9YHJi0uWBIewUzE5hFB/oBE8z5cne8vdvepCvTTqLQKQPp6YhxSMUJglqX+d6MFfS3PwWAHWVWVZAzlGgJYj7u9jjDnLR5KOplJtYvudDNrWLZ0F/0jejRux3XauXNo+47649YXLa8qcsT8TgyY/bmFbtGnCfWY0KkWjGxqY61jTUFeOec+awrTPAwY2laYeGFA4cV8qB40rTBW4wtL8swLI9y/jVil9BfBrfVjeCqxb3pMOh8w1KPC1QcxAFVoMwGjdZwJC/YC+jQMbAUsDutr280hnEXSmegSFZwh/zs757PVaDlbGFY9nuEVZYVlsQd6sBTdMpsplw33sf4TVr0vvWYzECb73FD4DwRUWsLvPz0+Nr0G6P5RJIWU4WRWblQILIg0yakhMPszGZK/nVxq8Oea1HMIL9BcMhkPezP3aiyQ5hDwbPHtoMBqY46+nyNrEs1LwPAhnAVJ9rcaE4HWh+/wClLe/24TBGa/Wgy4NJQaHcmhksCpTrmYQAACAASURBVJMz9NuiUZ4r8MF7F6WXueTyTHg+1JNDIPtCMaaMGlwNLbaLSs6WfpXYPYEoZU4zZU4zsYSGNxynMKvSendPkO/+8yNaekMU5+kSMQCxwKC+mGkkH9hVuJk/pYJrT5jMDbd6WC9JbKxoTBNIKTkIbSk8lMXZhS7bX8XjD2BwlJB9JHtXO9KYOLo2nNsgCwMIZFZ+pbkgo+qlu2bYQY4iKRnVUlKi6HF4Z3sPrX1hVjX18bVNTTQUFqPUTkY26qhRGdUfJJtAar48HTBS+zR48Ua91DhyUwDwNMMHf2VuaDmtxnoajBZwVollXRvF9f0PdCr6wmAwiVBi6t5OhbATQyiQkiRUyK7NEAtQWzGN33Xt5KryUvb49uCP+nBoGsTDFBidSDp4VtwJL93IHqcDSoupL8my53KK4pr1mzcTV3XGljkg3sDbxtd4bbPIjR1blkvAaoutOM0GtnT4kBDk6Yx56V4qmAwyxXYTvcEYJ88cxZGTK4jGNWbUDux+YjUp2OOZQo9x2/4Gv3tM/FM2Ec57PuczH1fuZFy5M30e+ZCyMgI4/PHDsRgsnDP5HC6adtGAdd9tfxd3xI1RWsuM2HqY/0N6XU7ohNKECiYHTrORbn8AXbGgGfMrkCkC6Q3FwexE8/uwYEnnQAKc8ewZuCNuJhVPwiAbKE/anJnMAdwBKzriedZzw5+QTCYMpeKZmNATbKqFyS1wvH0Bq3mNXb6tjIuG02HrFCSTKaNApkzns4oWiYfwKDLV5mLOnHhm3vcyghHsb/jydqIZDoHs24NflplbOI6Jve28lOjjmR3PIEkSiqSwuHZxzixcDfiR7f0USIcTNZAsopGUIXNk9pUDGUjomIAya+Zjqygw8/PjJ7Fqm5ESVeP4Mb8kFvJx9LqfooweLxRIgKA7bR+k6zq9wdiQBE+SJGqKrHkVyHHlznQ4rcsfzSGQb2zpYtNeH8dNq2Tx+GEk2kf9OcQ2L5LhxftNN7MtHIJVjUxXO3gMB0t3Lk2vFsePQZbw6Va48BUIdIvWg2/9hkJgTewgZmbtdlSgh11SHE39pATSIfadQn8FMmXZFA+DYkbXzEKBNGRIpyRHOXJSOY9+2AJAdaGVhNuNp7wRCuuRDTpaQkaN5CpL+RTIhKoBOrbRd9AWCDKhcEbO8tjHj2B67w4KsfKK80waIE1w8DRn8iD3J1gKs0LYfnCUY0LBO1QnGEeFqCwHqJzKjI1CcWsLtAlDfk2HqB9D3x4KNJV/l1TwYd0s2qK9WNWICF+nkLQ2unPpO8AsJrZvovLNdbxfqrEu1s5XZswZYLAvSRIlDhN9oThGRcopXkuhymWhNxijqtCaUzTTHzaTQnGiCwzwj8QRnDCzRqST9DWJ7js929KWX/3hGiTtxBcT32t74BROnGvhtT2vsWLvirwEstUvSHJC8gEa71nMrAk0Y9J1HLoOJgcFVgPd/iiq2YxK/nzq1ATZExYhbGOih0pbGV2KiXqplJn184ggJgUnjT0JgDKbaJkoG3xounielhh0tGCQsm99i9JvCz/Wt1vf5o6nLuXuu1TGGcW1/MEbP+D6lmJmGAcSSC1FIIvHiN89mfxrYkE8skyhaXCBYAQj2N/w5e1Ek8qT2ocC6VdkVjbDxT4jL9hj/OZVIcSqMrxWdzGLq0S4Ym5DsQhhO3MfILLTgdrblyRKzkGVHi0aRXX3ohQNHsL2JaAUKLVkSIUkSVx08Bhea4Xx3ihXvnlhetlLWQrk1f98g5WGJPnQRf7Uvjwaa4ttOb2sU4a8ZU4z5UnvyE5fhPEVmfe8sd1HqcPMn86eM2B/eZHMT0sfI5Fg18knU3bZZRQcdRQApQ3TudF8OUfF32D+lrtgCxwiy9QFpzBx8gS2dQZoirxHMOER/ndxNdNmsGcrtH8srl9UDDRxgwljIkZ1oBtJjqPGPnsOZI4CGc0ikEYrasKEJMfFgBYrRjb1ghzla/Pq2NrpZ35DCdccN5HtDwfwWQvA7EAuLEErLECNrgWg4fHHWH/vrRSsGGhg3ROIgRxGThLU7R3RnOVbd+1hjG5mSvRevlZbyymQIZDw6Qpo/tthLcwNYRePwZSQc30g+8NRLgqLACqnUbH2EQySLAhkIoRT0yDcC1tf4Ou+AMtGTaJPt2AzOVhUMTcnlSNiLccCLKnVuK5sBdz8CEqXiZPHS/jOXMa1J3wdgOWty2nxt6S3s9hlvGE7ZoOcl0DeeMo0Vu/p44TpVUO+fZcc4XbldgAeVJdwwnHng80krJrumCVshgYhkIPZc/mS3+uodyrXLDiDvYG9dIQ68q6bqobWJZXlVivf3/lPAMbZq5AO+TrM+gbVq2P0heKYY2bM0j5C2EkF0pQI4rIk8BoV5o85kBsW3Thgm3KbmHBqiheoQLHtYNnOe1kAGEozub5b+7YSTj4C7TGJlB1sX6AbydiQe02yFUiLCwqqoTuT00zUj1eRKTQNHtUZwQj2N3zaTjT/+0keRivIxiEJpNa1lSNX6Byy9h2q4hEeDOYKr0/NXsp9lSLZfunEWfw4EEB25IalFIeT+J7mZPXg4A+X8OrV6NEotgXzB13HF9cpBdqCa5hKpsWgpmvsUoOcVjEHJs0F4ObXm4mZ5nCo0YUVKJP8TK7KHH9GbSHHTKlkKNQUWVnVlGnZ5Q3Hias6ZU5zRoH05ZKVje3eIUPjAxALQNasXQsGie3Yyd6rr0kTSJfNxM+uvh70X4iwka7x8Nt72PJuL898+xiufu4VmiLv0Rftw2w0EIlnkYQDvssOr8S4FVfTGN9KOBTBmBADQWWoF6Q4icRnDWH3UyDVmGi5Fg+C0Uo8IUYm2dRLItCIbOrFZo5z5OQKjkz60GnxOM5YiLZkOF8uq0OTEiSiYrLQXWrkFf8HnOLTB+SddvujyFn5lY5+KrcW6sOLgxcvO5gxqbCp0SoGwoh3/ySQ2QpkMoRtjg2RAwmZQhqAUbNRgMpYlLa+HfjVKHVacttXr+V0qYSbO84n5W62VoL3Vi3HalK47cyZ6KqLWl1iSeg5XJv2sM0jJoblXp3uxAY2e1aRkBr53rLvoZMpcLPa6jEHforNZMjtH53EzNpCZuYJWffH6MBHVEm9uE3VtMUqM96xRaNFfubKe6A9mQ9YVA8H/zhncvvA+fMGWHylQtjeoAFV0ym0FObtyKNqKu3Bdkos5bgjXay0isnVX4/+K5OKJ4FZRH++d7jO8dMreWjLep7f83He92ExKpgNcjoH0qoFsCsx3JKw8soHu9GOzWAjjvj8DQXrCHQLtXBtYg+2DtF554O9H1BSXA00Y4nqkLo1VHJyIEF4QerRLPW6bKJId0hh5+t4FAN1jqGJ/QhGsD9hnyOnrusfSZKU04lG1/X8paD/S5Ck5AA6eBFNsGczs3boFMRVCscWY7a6kY+8GoBlT93KKR+1cwr3ABBZYwZNy7HxgWQRTSDZiWYIC5/AO+8iGY3Y5w9OIN3RMGOAm1dez3ZrB5fOuBRFVni//X3CaoQxU74K40UF4AsfvsmUoERb3ME44KTKHsYemrUzRYFBcp1SqC2y4YskeGtbNxaDzF6vyFMqc5opLxCDwhX/Woskweo9fWg67OgKcPgwPeIAodY5MqbhenKQ1qPRgetKEjjFuiXlcVTNzZ1v7GBNUwIK4YmtT0BRIV3RRUQSjWk/xA8chzMO6NCLWf/xLlJZZRY1ilHVmL6zB98rr+Q9Pdu8eRj6q8Ime0aBVBPC/DtFIFOfcdQnLHgc5cRiGaVXiwuy9sOj63N2qfb1IaPTlayglu02NK8bVZdBkWnHQ8giIes6O9rWI9lt1BXUYVJMdPkjSIas0LaeqywrUQ9B2cmkqn7fP0dlkkDuRxXYKVizOsxEA2AuwBQeIgcSMt9DiwvqFsIR11Gz8c80uTfj02I4LMWw5ApIhLniFYlTZ9dwwUGi5eaLG/ayoc3HW9u6eW+nmzGldlZrB3Gs1E6icCZarAUkGNMH6Dqru1bzyJZHAHjyxCcpt5Xzx4//yL+2PkVvtJO9lieZaBoYGgbRT/qYfx/DfUvuY2b5zLzrlEeaALiy+I8USiCnem9LEsw5D1Y/IKyu4kHxHZh9bg6BrqsIJCcpmbC8L+ZDQkZTTfjCcQrNhelK9Gy0BTpIaAlGWSbgjnTxscWMVbGwoHJBzsRHkSXGlTup7SghtjtGVI1iVgYWCrmsRryhOLrTSRE+lOC7xEtrKbEM/r0tt5XzZseTyJZKZGMf9YkioIdbd9/Hrsj96fWObTgW2daDKZIRB0yajGTpH8LOdBYDBIHcuQw61kPpBNj4FN6qIgqt+QvYRjCC/RH7JJCSJCnAcUBDcv2jJUlC1/Vbh9zwfwEpBSaFN38L794O8y6Aw36G39eCUS2nc1QF88+bBuseh3O+AcBrxofZsWIn3y4/ip53V2PZKR6ksiM3hK04Hag+H+639uAYa2Ew58XIpk2YJ08a0uevMyqS4g0aPLDqbo6QJzNq4hwuee0SADG7T6LMYabbH6XFL1Gm2xi76x+wq1/bxpPuglnfGPR4Y8vFlPzc+z7Ieb2myIrNZOCKo8Zzy6vb+NHjazEbZAqsRioKLBwx6ZMQyIAwO08iZdY7mF1NClNGuVBkidte2w7ouGy1bOrdRNQe5IPYy1z99lv84bA/EImrPL7Wzf3R39GnO6l65mN+l9zHtFITC7fo/OClD2l76cO8xyk480yeP+IcQjGVGbWFHDahXISwExFBHpOt7lIhbM1cgAx89743+FlgG5WjpxIJGtPhsXPmzOGxXStRlMxg1PfoY/hfF3YxrcmCGdluJ965FxUZxWmjLdBOIMlRL37yLNwuiRPHnsiNi26kyx9FMmQUyHC/S2eKewkpeSYvU0+F9U/AuCOHvNb/k7AUQmQ9vPhTQZJMDkyKTGtfmNc2daaV3xxMPU30xa6dL4jWQZdTt+FvPB7uBAmKzC444DtEEypvP/8SPy61M7VaqGlTq12oms6ka1+iyR3EZlK4Iv4dpp99CFVbPwa+jWNqFYH1e6nTi7l/gyAxi6oX0VgketWPLxqPRgyv7Ql04wZ8yvvAYQNO8+3Wt4lrcR7Z8sigBLIktIM2vYR3W2McOLYf0Vr8E/EDsOV5ePQs8LbmEMiTnhH5hOvPXZ9+zRfzYVUc+JDoDcUoNBcSVaM51lEdvgDHP3o+mGFzUzEUwkazmfEFdYOGxh1J1d0f82O2DnxCFtqMPPphC2fP0JkG9MqigGYwBRLg+DHHc9eauxgzZj0+PcBEdwXQw8+PvRm9PLPdxJKJdDpWoocyEQWjKg1UILND2ADVyUZs9x8HF75CIuLBTwEu837kZjCCEewDw4ndPQtEgPXAf1nLic8Ia2GGQPr2wtu3iJZ3K++BugPwyxLGBCRMZkE2o75094EySWfZNIWrz7+D0Fuv4b/0MgC0d38H0X+mD2F2RyEep+vNXjy7bRR8tzud5J0NLRhEKXTxjxV76AnkUd+APSHhCXjVrCvo/t3NcMt36Vj+BADnTz2fqaVT0+uWOc1s7vDR4glzY+x6njizKp2QDjo8ejb07h7y8iweX86/Lz2QaJafnM1sYEaNeEh+/4hGVF3ntte286ezZ3PEpDyDcn+EeuH+YzPhxWAXNCxKL94XcUxharWLDdcv4Y+vb+dPb+7E2ftj3rn4cI67aynt9l/zQdtGvvuwqM5e0+JhRu1Uppc5ULZsyJxKqB1rckyoue8+jCW5odyWSy6ls6M3bapcWWBhxTVHZNoMxoOCRALtAZ1RQE/cQjkQ8PbiSnTgNx9JyK2kCeQBZXU8vUUnmMgMWB1/+TOqx0NXVTmrrULtVOx2ouEoCVnGa9G4/v3rWWAWA/AtqyeyW+viuZYXuUYzsK6tG3N5JgQYiOUW2lgTPjymhoEXcfFPxc/+CGsheFtg5Z9FIdmkr7BwbyGPrWrhrjd35CeQpY1wyp8z/8sy3y6Zy6QWQe4XTxDG9N4kQ3f1yyFWZImaYivN7hCldkGEKlwWwusECXPOn0Zg/V6mhototvcxq3wWtxx6S3r7MS5RnKEa2pEBTclfWNIbEWklziEKNlz+nazWaogmtIHKczYKkq4P3tYMKcpCdrqEL+bDbhTH7PFHMy0dIx6sDkEgn978Dpj3osVdeHoacSSj7fUF9QP2nYLDKAjkqs5VHNNwzIDlly4eyxWPr+WNTe1MU2Bd9ZHAJootg6denPREOwuX6jx32g6eGdNHRVQ8c+dMPBzZnEtSu+12ESVKQkok2OrfyQ2vZBTgs8Pt1EeyrvfU00SDhtX3Q892fEk/yhECOYIvE4ZDIGt0XZ/+hZ/JfwIWlyAynRvhz6J9GKf+FZ68GB49C5/FjFEF3WwR6+qaCF1aCqiIhOhRFFR0qhcfxXMHzUbd24StXKYknkkIdxXtwHm6m44NBfRugbMfOoy/ffXRHLIHoIVC+ApK+PnT6xkMizShQI5zNFDVJPKmfFtFpeiiUYty1i1zmnl7e5TWvjDNSh0F048BOUsBsJdm+iAPAlmWmFM/eFEPwHcWj+PAsaXMHz3MPLq9a0Xy+YTjxTmkQmpJ6PEhqmT7wWpS0gU8KdLtMJRhjx2EV1/G81vbAJlRLgt//eYcyp0WAsu9tDwMvQ4I+N0omnjw62PGYanMJfayzUY4FIUiOHV2Nc+ubRcDaopA3p255rcvb+HEsT0UxEyUA19v1LBvibJNLsftlyE59lSd9hPu11VeeCAzYHn93axq1LnnuF50/ffMfPA2ru2tZloojGqUabKHAQVPfRHmxiKMbV4mdfQS9Gr8vvZJtIQ9XUADEErk5vXaVD/ql21gs2TlCV70KhSP4ZRKeHeHm3eyurDsC+VH3cBXNyeN7acIM3BvKEkg81QrN5TYaXKHGFVoZVKwA/31V+l79FFsCxdimT4TeIW5b7bz4rE6p48/HVtWvuqYQkEgZZMgiB5tK5quIUviO/py08t83PVxugNOMB4kL9QEDv9OtulHAwxNIF1Jy6fHzxE+qSfdRWDicenFvZHetNLnj/kpSuZxb+nwU1OT6Qlelcz9W9H+Ibou8fxpz9Dl0bhw+e8BqHVm7Ij6I0WEr3zrSsqt5cyuyCWyp8yqQUJiwxPPgwId5VOgZ9OgIWwtFsO7dCnmqIptayuReoXisIzsdA4gjwCyw4EWDDKpeBKbezdjUKFX9RNTxbMokojQo/ooCmbywZEkodyvvh99zwd0r3RRXqCnSfUIRvBlwHAI5IuSJB2t63r+JLH/ZTgqoXsr7E22mDviFzD9DBGi9Oyh3d9B8ZOPo1nsGdsfXzsAFUE3ql3CHXETSUS4bvEmElqC8vipLLvwl5ljhHqRd75OaPI6lF/+iz/erbJn5kd5CeSOYBTnQTeAMsjAsFMIwAW+BKk1Ips3gxmKLLlEr9RhwhdJsGKXm5oiayYHKv3ey3N9zD4lTAZ5+OQRwCPamXHsb6CwbsDi/gpkeMNGwmvWULDkaAxlA5Xb+hIxAKcKZyxGha4uG5YqFcngQ08Ucu6BDZQ7RfxX9YpQb68TnGFQkpr6P1e3YXIFcvY9I6rR5wtiqpOZWOnkyY90fJEErsajYOY3hFoNrJansrx9OuPafdTGDUwDZprF9+SWD8IEDJVp/0lJVTEAu31C/e2L9CElNMaXT+XH0y7lD+8uJW5ez85YB5NDEeJWA/5kWtVWq4crjv0NkbjGpc/8Gke4CV21cFbdDTzafnn6vGOhLC9RXadA96OZh54I7HeYfKKoNC6sz9iuAKMKrXT5I8RVbdA+8DkoqocDv5fzUkqBzNdlqa7Yxutbuuj0Rbj77btpf1V8p8puvw1TqTje1HUBJk5TmFc5j+477iC6Y2d6+6OsVl6dLCagfYndnPfSeTx4zINIksSP38rtVd4Zyu1SBBBVozTtWU69nmC7LsjhpKohrGWy81/VGGx4kraajA3Ubu9uSjytsPYxfMEWSuzllDrMrG/zMnVs0lA92oeq6cgS7PCvQ0lU01BUQkMRsFzs59Ca7ATsXKQUSIAWf8sAAglw/PQqrnxsCWu1scwvLoKewUPY4Y/XpHOorTGo7dYpf2EVhoaGvOvLDjtaIMjjX3mc5a3L8d/3bRIKPHTsQ4Ag6kv/NI9YWHyW8c4udp74Fd6/fCEVdhuHfvA+2k4rd+5USbz8B1obX6HmjtsHfb8jGMH+guEQyBXAU5IkyUAcUUij67r+v+9XUFQPa9vBLToXcMB3xe/kDLz1w0cpTwBWW6Z91Z+EGlFhtYC9nG+98i38cT8SEg65gk7D08x64LX0IQySlcdPfIjOwgo6a/7FpFZo2rIJFuaeihYM0hTvAiXI+VPPx6oMLHAplFuAp9j7vR9kttu+C6YOJJCNSWVuXas3v+WH/fMhkJ8YfXtANmRCZ/3Qn0B2/OIXRDZuJNHTTfkPfzhg/f7dPKxGOV2octoCK0+8C4dNLOdnb1/DMS90U7MzRSAlSn16mkDe9sYuooZcdeL2QJy+eIiqQgtlSdsidyCKq6wGTr4rvd6zSzeyt72J7kAUPVlxXe4RFa7m7hjfimxlwQk3UdRQDTedBcCGng3ous72vu0YVShzVXH07MM5d/bhHP/3awiYl0JcJY6ML/lVKDXV8fFmD4dPLMdjcFHhcxJr/h5XffMwHk1mTVyrH8PVXfPRNB1ZloiEfFgkFcn2JSOQ5ZPgvOcGvDzKZUHThf1UTVFuvrGu67R5whTbTdhMgz8aPUMqkGKfHn8YZyRA0VlnUXLhBRirqyEepu6wHprfKOXmUadTLhWw9U9/RikwY7CZiXtCnFlg5NXJMNpbhlo5io+7PmZV5yoqbAND7p3BgQTyxhU38tSOp1hSWswBdQczrWSKMDEfDNl5iQU1sOddWn3N6Zd2eXcxd/sKPl7/d9aNquToWJhp1QWsa/VwoSK8E1c0tXDOnR7GlJnxFu2k0pjM20xE+X13L6WTTslLClPIDsVnWxplw6jI3H3uQn79ggtZWcuJKzQsU5tgjphd6ZpG22U/JNbSgtrXB7KMXlqENdrLYWvFTe5YvDjvvhWHg5hbvOfCV1ZT1gmR8szwZjfakc0m4sne4v7XXkX3+vA+8yq3HlPKe6u2kgoxGHa3YVx89KDvdQQj2J8wHAJ5K3AAsF7X+zVU/l9HUQOgQ9O7ojNHPwLhDnswqmCw2mHcEXD8LcKeBZipJzgmupuQLnLgTh53Mi6pkatevYOELma/cT1EyLSKJze9Q12ZxP3HKNzyNxW/T4TQ1nStodJeSYWtAi0YImzrptLSyI/m/Cjv6YbiH7KHpwDYMtFBYUSm8tmVHBuWKTwnN3SyZEolq35+JHFVy9sCDUeFqCK8dTJoiYHLJRkOuRLmXThw2WdBXxO4akFW8i/vRyDjnWKQ1MNDd6pIwWJU0OKCLB00UeZnhx9FlF7eWbOUbzylEi8pITBzLD2GXcxvtXLBhDOJvfEAK687ZkDi/OpV9xCIqoxyWSlO5rT1BmOM6SeEdvrEue3oCuAxGUW7wD3vkNBlTvz4baoDbkreq6B0+pFsTW7jjXpp9beytW8rMxPgdGYKGEbZGoiYxK0mxSV8NvjTEX/iX++peO1x7j13Li+/WYajcxeVtlqMBoUnZv8U49IfMCb+F27Q5rGnN8ToUjve3i4sgGLfD616PgVGFQo23u4RBLIvGGNbp8gZfWJ1K/9a3covtj7NV46Zlzac7g9PSoHM00v+5FnVhOMaB5QqsBRMDQ2CPAIYrRi/+xy8cR6FvV3EX78bgIqpblxjVTpWGKHJwo/dQRRfFdLC67hj+zlc8PIF6f3fdcRdyJLMG81v8MzOZ0RKRddm6BUq5pZOkQu7zG7j2sVzcDkHNxsfgEOugOcup/Wpi6BYEKj1nR/R2LuZi6qE5de0SISAC4qfe5YH3olQt1DnFdMrqNrJ7PRtxV4cZ0bZLLG/7i0sCQSg/vAhD5sd9m3OIq/Nvma8US9VjipKraUcMamCRQYf7/z8V4xaq9HjuRXHIw8DokOT/9VXMU+YgGXqVKzTphJ4azlTtSISLheGqjYqfvqTvMeXbXa0QAAtFsP4u78AMH1ULuE1WRxovSLuk5rkpty/ehKZHHFDXS0VP7lqyPc7ghHsLxgOgWwBNux35BEIWKtFaLFlBdQuGLC8L+zDqILR7hC+efOy2gQCN+fZ55sXZorTu4MBDvvXgazv3oLRWkjCqAAqQX8v7YF2znnxHABqzBXcqiaI2QIsqDhk8BM2ZD6uDUePxasFufBOH+PcRgzywI+yNB9xTMGRZEERH0w7beDyjg3w4k+g/kCh5nxe8OwRyu8gyFYg9UQC1e1Ovp4/N1KSJL4+vzad52U1KuhJAnnde9fy2AnjWd25GkeSf5b97GqeLtuIdnczRGMUKHZ6AJfDgiTnhjTtdguGcBBFliixi4KJnsDA82j3CGVifZsXp8XAz8ru4LdHlXPKvZu5KSgGJNXjIdHdnbPdac+eBprGgxrYbZlBdGzhONqyPjqLzcDBNQdzY/typla7kCSJwsoybLEQ0bgg/xN2r4Tk36crb3HY7+3886IF0NFKBWBy7odWPZ8Cqf7ve71hdF3n/Ac+ZE1LrhXNws3v0L35HTYsPpnFEwY6CmRC2AON+AttJi5dPJZYUxM7AcWVG6iRK0XvZHXNkyR2JYBSDBc+DAcdjOGac9C2r+Icd4CdSis7bQXcecSd6R7UZdYyDqkRz4cmbxNRNcotH97MQe/czQE+NzrQVF/D7FiCjywmXm5/hzMmnDHgHO/bcB/P7nw2c00mLeB2v4ph2unQvILNoa04VS+H+708vft53tagTDHxmGMOrl1v0hxdS3Dj8wCsjEvccupK5pqq2CP5iADfnLlY7Lgjmc9dOXQKfYW9gidPfJLfffg79vhFisuy5mX88A0RcaiyV/HyaS8jSRJb7r2dFY4HNAAAIABJREFUUWtFeohsz+oClmzxWXLB+bhOEhXkodUfUeJJYNALiTvz95CHTA5kvLU1/Vr2/QhgsTnRYyL3NOUUYTBbgRhdqoHUp2wsHZhmM4IR7K8YDoHcBbwpSdKLQLo8eH+w8blwaTfJ7rBsj5Xw4cpmvj6/Nl116A73YEqAZQhrnaFQZnegJMrY499JVXAUBQVlQBvN3dv5/uvfB+DIuiOJe3qBNiJGOKJ28A4ukiGjeNgLS3nT0I2/2IpV+oRG2JDxvKucBl/Jk68TdMNt0+D9O4Xdz2fFzjfgo4eE+e600wddLZtAJty9kJy3DFWdfdOpmQHqxJmj6AnEcFaex2sdD/DNF79JVI0yKUkg3wuu53n/i5xdWAVqM3o0ArI8gDwC2G1mFN2PP5qgJNn2sTc4kEC2ecTOu/1Ruv1RFh80G8ZP5jenVCI/I1QmzefPIZBXzr2SvcG9RMMB4Imc3ruTSseyI4ubzDWbCMUSbO8KcGSy0r2ytoKwrnKAwwNqHDYvhWmno3dv40e+t1gY3smsv5+PggYSOApHBjaAKpdQIP+5opnl23pY0+LhB4ePY+GYEpwWI32hGDwt1r3/3SYWjC7ho2ZBHGbWFmI3G/CGYsKSNI/RdwqqVxQyyQX9CGSS9OgJmYQqJjqGUSJX0Th2GrCKeEhhTEE7PYYE8yrnMa9y3oD9Tyubht1o56HN/+All5lXD/gNPZWTCC//PksCAXzWKpbuXMppjacR02Jpmx1v1Mvda++m2lFNQ0EDvZFelnt2sPWURxlvsPBQ4wKe/+h9zpp4FkvWPMMzBHHLcHPhLFyF42HdY1hX/ZYgRsLjJmLyRFiwtZkrnvo3fqvCJT+oYvqoGnDvhBeuZO+qUswvr6T47HE55x9etw4kGes0kQveWNTIaNdontj2BBe+fCHb+7Yz1jWWg6oP4qFND9Hsb6a+oJ62HWugAgqrx2DuzfT6Vn2CIMrOzPWWHXbira1oFgtKweAZV7LDgRoMEmvak36tfzTCaS9CSjSxsWcjhWFxrNGljcBGerUMgUz12R7BCL4MGA7z2J38MSV/9gvous4HPUZUs4Qi6bzUZuKWlg8w2Hdy9LhZFJgL2OldCYDFPrTh9lBwGerpTWxjY48Xk7EEaMMQ09jWt42Txp7EDYtuoH3HWrx8jYgJDqzJ7+sGIBkzH1dpaR3de5cTBSzSpzg/KRlCLh6df7m9BKafDmsfFYbYKZidcOT1g6uIoV5hh5SIQsNBMOUUQQJfuhp8bSJ8PfH4QU8rmyjGWzLhrBwPtiFw4NhSDhxbCszlrOdXs75nPUbZyGXjvgH8lbt3/QNflZGDx50A3IcaCCAp+cPpTqeNMovMjSdPpTipQLoDUaIJlXe29xBXRVeYnkCUHx7ZyNfm1aHqOlXJLj11oR5Smobq85HoyhDIb075png9EGAbT+QMWLVFBXj7jgWEyjNHUXl4ZTOqprN4giCChQ6dMPDbvT+Ej/0Q7oMppyL17cb+8jUcRQvNDacSMxaiWByMmzN0GPHLArvZwAFjStjY7mVLh48ZNS6+e/g4zAbxHfCEYuxNrvvWtm6OvPUt2pIK81kL6vj1KdPwhuMUWIwDC9MQ39/Ilq1pRUxx5Va/SxYLSKDGJfSKQ4F3MFaISYFx0gLgfuIhBbMrwaj4bqAm7/uYUTSRFXN+wRMf/5lfspsdo+fjSbqsNcy5mBNsDm7b/CCHPn4o/pifUkspSBBTY4QTYX696NdMKplER7CDo544ioc2PoQ35uXdtnexGWycP/V8Kj0B7lrzN4y6zsKpB6d71mvhKJKiUBLZRl3CQUHPKKAVZ1jlvMknJC/e7yAewrOjEH51A8Vnn50+91hTE01nnAnA2NdexVQj3uOxo49lh2cHCS3B+OLxXDbrMkGSNz3ER50fUWGrQOnqw1hdQ8PomQTffie9T82fvN4FmXxKxeFACwRQTSaMNfmvIyRJfSJBdMeOzOfUj0DWl4yjQ13Dlcuv5OStQQ4GRpdOwC7v4D1FoyF57bNbJY5gBPs7htOJ5pf7Wud/ES29YXRkntYOYqKylRWNGvbErfxqtZ9b1hRQaWkkljTuNuYxtx0uxjinsDrwIbt9XhJuESY3x+Gn83/KIRWncOY972NqaeIaIGwCp3nwisnsh9qhE4/l5r1/J0oCy6fh9RVTxO+pecLXKRzwfVGlHsrM9Gl+X/ifFdbCzLMH5kiu+LNQLU1O+PBvsOc9YX/UvRlO+APMvYChoCcy+ZjR3RmfyuH6Q2aj0l7J+p71XDLjEqZsL2UvcN3Rv6Vy3HQcL7xPB6D5A2AcmMsGIBuN1BaYGJM0i3aaDbiDMR5e2cwvn92Us25juZNKlyXntVjy/C3TpqH6fTkKpK5pSLKcJsbZCmSVy0JAzRB7c6SZR95ay0HjqpjbIHIZlbBQS7RQFJ67XNjWjDtCXGtzAbhqqBs70IR6BPDItxYOuqzAQJpAArR5wvz6lGm8sbWLh1c2M6bUzkfNnrwFNADdd92F++57KLn4YiAPgZQkZJOCnpBIJBzIBQXp5gGGOqHSxcecCeGHqI/tBA4eeJBEFB4+A3a9ySJFgbpqrl11c9rup37uxYxXzLzftwVZkplcMpm+aMZTsqGggUklIi2l0i5yG1/Y/QIA5085n+/P/j5G2QijD+GQ9+8UGxWPyRBIVUK2mJFNOlWBPua7pkNyqnTBst/D7G/Bthdhxlnw6JsDT783cy7RbdvTBHJW+SzuW3Jfzrq6rlNkLuK6965jxd4VfNWnYVjYiKGklERvb/o+yqtA2oWyiMGAxTn4czVFOrtvzQTV+hNIk9WBTTeKfM24SHmoslUIJTi6MrOvkhECOYIvD4bTiaYMuAqYAqRHSF3XP7OkIUnSMcDtgAL8Tdf133zWfQ4Xa1s9gEb0tKu5qfVe1rlX4ZDH4G79ConCVfiDrTgDDcBOZNOnJ5C/Peo7/GP1QlRV5YADJ5D42xFYg6P4SsNpfP2vH9LcG+KrDvHgv2T+0KbOUlYOZF3lBOZVzkOT38cmf4rzG30wXLV76D7IpePggpdyX2v5AN6+FTo3wPLfQ81cePU6ERKXZNj2EjQugdMfEIPc6gfFdoV1MOXUfZ5WNlGMNTUBIsT0aQjkmRPO5NU9r3Jsw7Goq0Rl/Oxxh6A4nXitothACwRyrms2JKMx57jFDhOtfSE2tHkZX+HgtjNFsYDJIOWtdI017UEpKsJYU01085ZcAhmNIlmtWQQyM2CVOcz4zCLUGTcJNere2E8IFl8Ary8DXUVpfR0A9fCbYfIoMcCnisBmn/OJr9UIBLRgxkLrjSsOxWJSqHJZGVVo4dVNndzwvOh/fOQgpvnRbcLRIbxe5P/lC53KBUWo1TOI7mhLq48AxopykCQSlkbQCjI5hNnwNMPLP4Ndb8Jxv6eyYRGnbHmI9X3C7H5xzWKq7FXIkszflvxtWO/5jPFn8OyuZ/n3V/5NbUGWX+PoQ2DyyWJSUj1b/Aa00hnI4TByfQ1657sc3vI27mRPcGvADzcKUqo3Hgu8OeB4WjiU/ju2exf5uu2kIEkSl82+jMe3Pc6yrc9zXgRKxs3AYLFCIoHq9WIoKsqrQMoOB3oohKrrA3JRs+E8+mgiW7bgefSx9GvZE7rU/3JC4+HjH2bvyl/g4XH0SJTfH3YbPc9eSgzxPDGUjISwR/DlwXBC2P8EHgNOAC4BzgW6h9xiGEi2SLwLOAoxff1QkqSluq5vGnrLzwdrWnqx1z3ATWu3AXDRtIs4qe4i3tjaxYSKixlX7sDY10PHX48a8DD5JKgosHLFYQel/99otaJ76jnn3lVsbPdx+9dmcmRoD80PwKS6oYtVsomOZDLxh8V/oPWOM3A4xwyx1RAYijwOhtr5cNajsOYRePoSuCdZ9JPydLQWw6LLwWTLa6OyL+QSSKGyGauq0IYZws7GgqoF6VZsXT4vKApysle5ZEn6Qg4RwpYMBvRE5nyOnlzBX98WquLlR45n8qihnaziHR0Yq6tRClyofj+Jzo70Mi0SQbZa0+83+ztmUGRuv+IrGE8cTaCkiEeeuo6zDG/AupuSJ6aghE1AEaqxHMYv+QRXZQRDQcvqSFJvk5CT6SsHN5bxq5OmMLehmJoiK/ZBbH6UpNKVnvy4Bhq4yw4n3jdElyTHoRl/RMloRCkqItHbC/VTRCFbNvr2wF8OFekKs86B+ULl/H/lN326N5vENQuu4ar5Vw3sQ220whkP5r728y70H/4Y2daEXFaHJq9Bi3gAcZ200Uej1IwGVy1a1UHkgx7ONFqI7tq1z/M7bfxpnDj2RJYtfxC4BXNVdbopgtrTg6GoaNAcyNTx+ueiZsNQXEzV9ddjHj8e9933kOjqytPK0AiJBLqqogXEsfRoBJfZRcBcSerpZCgbIZAj+PJgOASyRNf1eyVJukzX9beAtyRJyt84+JNhPrBD1/VdAJIkPQqcBPyfEMiiUe8gu7dx2ezLOHDUgUwqnoQkSZxfmgkdxrxJK5XPQCD7w2S3UW2Bta1eGkpsnDB9FKHXhaoxVB9sAAy5DzWX2UWv2YGs/QcK5McvEX6OWgKW3AQHfOdz2W2qwhEgsGwZisslSN+nUCCzofl8KE5nukBKThJIze8ftgJ51TET0XXY64tw5rzBO2ukkOjowFhfh1LgRPX5iLdngqMpo+OUAin3+47NHV0CowW5eLP7Jt5p+SuL5i+AGSJ3TOnuhucPQfXkVhCP4LMhm0Cqfn+66EWRJc45oGGf20vJTieJjg4ki2XA5wq51cMVP/9Z7jKrFT0SFsVtq+6DPyaL6nQd/HtF7vLZ/xbpCp8TFFlBYRBbrf4wmNHCYSSrDdlqQ1cVtNFLYKtwDNePvhnqRX601taW3kyPx9OkTEsSSENZGdEdO1D9/jTxHgxGxcgi4yRaAGNVJboq1NCE2425sRHV7wNZRrZnnqGKIxMVUJxDT/YAis86C7W3j54770yrrSmkOtioPl+arGrJezj1P4BhJIQ9gi8RhkMgUyPoXkmSjgfagc/DVK4aYRGUQisw0EvnC8IR9YeiEePCqRemSUV/pAb57PDiZ4VktbCw2s4vT5zCAWNLUGQJLSRCOvsikNlFNGkYDOiqOvD1Lxq2Yrj4dQh0w+eYa5cibMXnnotst2GZMoXeBx/6VApkNlSvDzkrjJVSILVAIMceKRuSwZC2xgFhZvzzEyYP+5jxzk5s8+cL9SMeJ9qUldMZEZXb6eKgQfIwAa48ZhLCjjWDlLKlJYs1RvD5IIdAen0YKys/0faqP/N5DFb5m7rP7Ycegqm2tt8yK1ooDLMvFrnHugZIwvDbehgsuET07P4PQguHka1WJJsVLRxGkzLPrURPD83nX4AWj1H929+mX1c9nnQnqRSBtEybRuD119k2bz7lV/6YkguH9pwNrV4FsoypoSFd5Z7oEfnZmjd3ggikow0w0E5pMMjW5HOhn++sbeEBIEm0fPsSIpuExqFHkgTS78MyYzqORQdjmZrbYWwEI9ifMRwCeYMkSS7gCuCPQAFw+dCbfH6QJOlbwLcA6uoGtr77tJhUMimdSD4Y8hU4fFbIFitGLcG5BzakX0sRSGlfBDIP0ZEUBdQ8RuD/F6iase91PiFSBLLkkm9jKBI2J32PPJrOcfq0UL1elIJMOFG2ipCbGggMKHRIob8C+UmgBYNoPh+Gyoq0+qF292CsryO+pzmtXgymQO4LsskERqMgGyP43KBm5UBqPu8Qa+aH5s0ikIOQlpQCaSwf6DEpWW2CYFVOg6/eN2D5fwO0cBijy4VstYGuo/ZlVPDozp3E24VPY3hdJocz0duXJpCpEHbZZZdhX7iA7j/emQ75DwY9Hsf7xL9xHHwwhtJSQcJlOV2opvr9Ay2THFn5kEOEsLORnlhm5WkCWKdOoeTii3H/5S+Zc4qJe1jz+TFPnEDZ93NbXo5gBPs7hmwGm8xTbNR13avr+gZd1w/TdX2OrutLP4djtwHZ0++a5Gs50HX9L7quz9V1fW5Znl7IXyTSg7v50xfR9IdsseTkAAFoQfGwUuz2fJukkTfUqsjoif+AAvkFIZ0TaMwQKslozAltfxqoPl8OUZSzFMhBcyA/A4GMd4o2kcbKypzEflOyH29/BfLTTFJkmy09+RjB5wMtkCGQ6qdQd1PKGIAySEGFZBHPk3y93WWLBS3y3z0p0EMhZKs1Mwlzu9MtERM9Pen1Ys0ZGy61rzf9d0qBNI1uoPib30QpLESLpC2G8yK6ezeJ7m4KjjsWEN99c2Mj4bVrxT6TKSrZUByZ5+lQPpDZkK1iEt//GQ1Q/qPLKbk400widc5qwI/iGDoEP4IR7I8YkkDquq4CX/+Cjv0h0ChJ0mhJkkzA14DPg5h+btC+AAVSslnRUuRB1/E++xzBD4QNhGQd2s8xvwJpQNf2RwKZWzA0WCea4ULzenMGkfS11rT8qQHJc8i2FQq89Rahjz4e1vFSBTOGigrkLOXTnCSQqcEnXxHNcDFCID9/9A9hf1KoPh/2gw9m1C2/p+r/5XdAS4U+8xJIqxX9v1xV1kIhJJsV2SbuoYTbjZL0P8x2GojtyRhzJ9zurO3DoCjpnEjZYk5PqAaDHk1O5rNyGa0zZhBetw5d0/IrkFkTRqVoeFlXg4WwU7DNn591TlF0XUf1eFEK80cxRjCC/RnDCWG/K0nSnYhK7PT0XNf1jz7LgXVdT0iS9D3gZYSNz326rm/8LPv8vJFSvT7vEHbcI1SK6LZttF95JQDG+rq83VBykCdPTlKUdK7m/oA0ocquOP8MSmAKaiCAnKVQpBRIAJRBboN+x2359iUATNqyedDj6JpG529+Q3iNUEaMlZU5hS5pBTIqBqjPMkmRbbYc25kRfHZowSwC+SlC2KrXi6m+Htfxg5vlpz6zfAQylVf43wyRA2nLKJC9vZgnTEDt7skxy481Zwik6s5SICPJHMqkailZMpPqwZCaQGbfJ9YZM/A8/jjbD1qE6vPhPDzXWc7U0ED1bbeJv0c3DOu9mSdMBMB+4IF5l1tnZXpka9GIuLfjcQxlA9MRRjCC/R3DIZCp1ij/L+s1HfjMPpC6rr8AvPBZ9/NFIR1eNH6OBNKaCWGneq/W3Xcv1rlz97lt3mIfg/KfKaL5gqDH40KdyAorSybTZw5ha6FQTpGSZMmovYNWYRsMoGnoqjpomLs/IuvW0ffQ3zHW1GA/+GCMVVUYKipwnXIKKHI6yV7rH8IeoohmMMh2e44C6X7gAezz52OZPPxCnxHkQk0qkLLLRWDZ6xSfddawyb2uqiKUuo9waeozy2c6LVtt+yRT/0noup4posmKmBhKSoiSq0Cq3ZlwdnxvlgNBcvsUZPMwFMjUZD7rPnEedSTRbdvQkpMx14kn5mwjSRIFx3wyiyvzmNE0vv//2zvzMLnKMm/f7zm19pLe0tn3hSWKEAgYEMQRZRgFQSWuIyB84jeMG6AM6Izi+DkujCuoIzo4KKgIKKsysiQCQWSXzSCECCQh6XTSe+113u+Ps/Sp6qruqu6urtPp574uLmo5y5vTXX1+9Sy/5wHM1taS75tNjay+7152XHQR1uAQuS67VCVUop5VEPZ3KplEM2PHWdSiicb/bTv7qp3mjB5wQMVNFPG1a2k9fXh6jDJMdL2aaCaJ1HN/Je/Mtc3u2DHSg22CEUhtWfZNyycgjdhwXWv5Gkj7Z6JzuYoF5MCmTWCaLL/heu8mpIAFX/kPANIv2kX/wzY+k5PC1vk8XV/9GoRCHPx0oQG1tizSz78A+RyR5csLbt4zkcz2HWR32uXW4fnzCzqhraEhjOZmOv/5PHb/x1d47qjXs/q+e8e0mQHbEgoYM53pWv2Uat4yYjF0gMsSdDYL+TxGQ4NXLwgMp7C7bQEZXrDAa6aJLFtGdvuw4YaVSBaITxWLjVlvOhyBHP7bYM6axdxLRh++MB7c5r2y73d2YjY1ke/e6xOQMmtemHlUEoHEse8pnkTz7+X32D9wu+wm08bHiMXI7drF88e9kdyePbZ5cHvlrkjLfvHzwhdCJkzjJppcTw/bTjvN9rlzMIpu1nYTzfhrIN2Ib0EEMhSy7XtyOShXA+lEJnU2hx5D4PXddju7vvhFrESChrVry0YwXOHqRSAnWAOZddLjXpo8N/LLRO+vrmfXpZcCMOvkk1n4n5cBsPurX6P/9tuZ85lP03DUUfTdeitU4Slqtsyi9T3vGbv0ok7033EHmVdeYbYzVtDlbxs2kO+xx+kZzc0c+PBDACQee4yen/6M0Ny5tH3gAww99BCDd91NdscOzIMOGvVcg5s3M3i3PR1orI7fhZd9nb7bbyeyfOQceiPgKWztWY4N10AChNrdGkg76hhesoTszp2ohgbCS5eQ2T7cH2kVRyDjMXK7d49+3gl8TmqBisawMmkvZS8RSGEmUskow/8CGrDnTf0YOB14qMbrCgS16MJWTpG2m+oJzZ8/oRvwdG+iyff0gtbMPu88Ulu2MHjPPSWmQEQmFIG0fDe9EcfN5VCh0l8Q3HXobAadGf2j0nfrLahYlPZ3vYtZb39b2e1cmxC3KWAiZRL+CGR+3z7vtWLcztjGY45m6E8PorUGy6L3hhuwBgfpu/120tu2sfcH/1X1GuJr1xI78MCq95sKdnzKdhvzC0idzZLv6aHl3fZYzb4bf+2ZXCcefgSwPUhVKET7GWcweNfd3rUdjd1f+QqZF7ZiNDQQO+CAUbcNL1gwQtS6uOMtqymbmEo8yzFfFzY4lkWmCdksRmMjodl2B7rZ2Ehk0WKSjz6G1hqlFDpVKCBVNObZWpVjIqUetUBFI+hUmtweJwI5xQ4hghAEKolAHqO1fp1S6kmt9ReVUt8AflfrhQWBmnRhG85NwTQhn59w9EaZ0zsC6d6QYq99rVfLNNkp7HJG7UYkQj6RGCWF7UYgs6N2O+tsluTDjzDrHaeMmVJzv4y4TTSlZmFXil9A5vY5EbUSVlA6nUKFwzS/9a0MPfBHsjt2kO/tsy2MGhpIPfFnIkuXYjQ2svqPD1R07qH7N7P9vPOmXRe4W+MYO/Agr8PeSqcxw2HbPscwaP/wWYA94g7sKPmYx+3to/U97ynbeV0phlObayVTBTY0QcGNjhrxBpQvhW00NmLE41iDgxhNTd5EFqOxkfCiRViDg7YTQmsrViJZ8GVOVdKFPU6/1FphRGPoVIpc1x6MlpZJDTIIwnShEvXi5lMSSqkF2JNp5tduScGhFjWQ6W327Ne2D34AsOclT4gpbqLR+TzJp54m8fjj3s14IlgJuyPVaIgPG31bhWPEvDm0Ra9XfA7nplds1O7Woo02yhCAXG7Ubufk009jJRI0rj96zLV4RsUjmmgmGIF0fPZKCUgrlUbFYsTXrgXg1X/9N3Z/+csAdPyfc8j39ZH+6/Pe6L2K/nPO40ZSpwuuTY/R3OxZtrglDjqZwojFvGY1t7Qkv290Aam1to3qyxjSV4MrrHQymMLcNa4vTmHbNZH2c6O5icbjjiO6ehXNJ55IeNFCAF468yx2X3aZPQrR18RmVNSFPbKJpp6oaBQrkyG3p4uw1D8KM5RKBORtSqlW4DLgMeBvwM9H3WM/oRY2Pg2H27Nt2884A4DWd71zQseb6iaavt/8hr9t2MBL7/8Ar/7bv034eP7ooGu4XXwz8ZpZqoxCWpkM/Xf8ryf+/EX/MCwgRx1l6JzXNXsvhVu/FVkxsqZtxDFN07YH8nwg3cjK+LqwdSKBtixy+8oLSJ1KoWJRoqtX03D0erLbt3umzM1/Z/fIJZ94oqooihsxdeuEpwuegGxqREUdMe+kT61UYXOH2dICSpHv2YeVSPDK//0n0lu3jjimTiQgm50UL0D3/EGsg9RaM3DnnUChYHSfu2s3G5toOvYNrLj1VuZccD6NRx5J84knotNp9l39U/K9vYX7VhGBDEwNpLPmzCvbCc2bEfEUQRhBJV3YX3Ie3qiUug2Iaa2rN0ibhtTij1b7WWfS+q53Yra2csDDD028I3aKm2jcerr42rWkn39+wsfTPgHpmgQX3zyHxUoGqhA5e779HfZddZU3PaI4he0ed6wIpB4jAumaDlf6szSiUS9d79kTjcfGx/n3WImkFyVza2wL1pdKYcTiKNNk6U9+UvBe1hG/OpUaFtQV/hvs9QczAun/EmLXudo/47zbKd3c7DUcFUcgXZRpYra0kNu3j8F772PQ6bBf/L0rCs7lTp+ZlAikL4UdNFLPPMveK6+k8bjjiB9+OCocJrJqJdmdrxJZuXI4AumbQQ1gtray6LvfYeCuu9j+sY+T2727MIUdjdl1n5ZVtqQnaE00RjQKWpPesoWm44+v93IEoS5U0kQTA84DjsX2f7xfKfUDrXXw/sJNMjqdhlBoUrtMlWF4HbqVWIOMeTwzNO7U7niwEkkIh4mvXUvPNdeM+ke/suP5IpDu7OCiTuLhZpbqIpCZF+1yAVckGY3FNZBOCrtcs0KodA2k2wzgPXdrNysUYEZjI9bAoHPsDCoSKe3xOeZxXAE5NNzokR/5u6BTqQLbooJj+AVTbKT4LIf7bx2r+aFe+BtfrFQas8n+WbqjCo3GJu+LijsVyEqnR1wDs72d/L4er+mtlEh0BaSxn6awe3/9G/Z8+9tEli6FcJiFl33dq0Vcedtt3nbDKezSf9dih7zOe1xo42P/Lm1Z8xpW/WET4blzR+wbvCaa4d+T+CGvreNKBKF+VHLn/ym2hc/lwBXAGuBntVxUUNCZTGC+8ZbDbqKZuhS25czBjSxZgs5kxrTfqOR44AjIMjee8QpItzbUjc4VRwi9Gsiyowzd8xZFIIvWUW0E0mxr82x3JvI75kYgdSJBzqmBLDWVyEqnCm54flSRoXOlKK8ZKJgRyJyvblH7Zktbg24EsskTz+77OpksnFAEmO1t5PftI/2inbou9WXMzGYrAAAgAElEQVRjUiOQAUxhD268h1xXF4mHH6bpDW8oa1EVP9ye0uIOSCgmPHeOZ3fjLycxfPWQQ/dvLrlvLRoaJ4KKDq8jdsghdVyJINSPSrqwX6u19o+22KiUerZWCwoSOpfDCMg33rJMcRONlXQE5NIlAGReepnw/PHXAPkFpH9mtB/3plF1utSpDXVvaCNS2K5gKjPK0LX3KY5AWuk0pu9G5kYgKxVgZmurJyCtTGbcUZXhFHbCm/phlahJ1Km0F+UpRoXDYBj2TPBqIpDhcf5MpgjXmB6GI4zgmzTT1DSioclKpUaUAITa2km/8IJtfQRerWnBuXpdAVlaWFWD29kcpBR2fnAQs6ODORdeSOMbSo/4A5j90XPZd9VVNB53bNlt5n3h8yQeepjWd57mveb/3Sz3e6qzWVDKdq8IAO5M+8iKFSUjpoIwE6hEQD6mlFqvtX4QQCn1euCR2i4rGOhcrmyDRVCwm2imsAvbMQGOLLEF5J7LLye+9rBx21hYQwkIh1GRiNdEU8x4I5CucMjssE2Mx18DmS2IQOp0GnzRUiuVskVYhULQbG0l/dxz9rGy2QlHIHtvuIHEo486axsp6Kx0CrO5tLm1UgojFsNKJAqiKmOeO+oKyGCmsP1CryACOeDrwh4hIJOYTYW/g6HO2XbjyDZ7glC+u5tivAjkJDTRuJ3hVh1S2PnBQXZefDFGNMaCr33V+1xkd+6k4agjx2z4M1taOPDxx0Yt5Wg+4QSaTzih4LWCqG8ZI3s3Uj+eUo9a0HjMMRz05J8Df38QhFpSSQr7COABpdTflFJ/A/4IHKmUekop9WRNV1dndC5bVlwEBRWqXQp78N57R9S4WUP2TOnQvHlgmiQffZSh++8f9zks34jBchM8xhuBdBt+3JRzcYTN8Gx8yvhARspEIFOF16TY/mUszNaWSUlhh+bPB6Xo+fkvCC9YQPNJJ5VMYetkqmxkB4btjYwyae6S+wS9BrKn13vs/3lZg4PeFxbP1N21VEqlR0Qg288+hzkXXcSciy6iYd06cnv3UsykprDdqPIoTVu1Ir1lC4N33U3/7bd79mLassjtfJXwggUVHcOIx6uuifZ/Lq2h0tZgE/miVStUJBLYKUyCMBVUoo5OqvkqgkoumNMgCqhRE03qued45dyP0rphA/O/NDy10komUQ12R++KW27mxbefTL5/YNznsRKJYQFZ5gYxngik1tqbUwu2SCr+Y68i1dj4+CKQRVE3K52qKv1rtraS7+uj/47/pf+WW4msXFnxvn6iy5ez+oHNWEMJQrM76LrsP8vWQI4mDo1YjDzl04elGHdZwRRh+TxK/RHI/OAAZlOTF3mFwgikvx4PILJoIR1nfxiAXFcXyWeeGXGufF8vKhodUT85HkKzZ4Npkt2xc8LHqhb/59gV1bnubnQ2W7GAHA/+62aV8ZbVEyj1EAShNlRi4/PSVCwkiOhR5iQHBbeJprgzeKK4N5DUli0Fr1vJ5HAX+SzXdmf86Ta/gCyHUUKsZLZvZ/s/nYeVTNL0xuOY9/nPF+wzdP/mAm+5UudwRZAqVwPpNxL3d2EXedbpVLoq8WC2toJl0f/b3wIw54LzK963mFBbG7S12et1zI2LGa0GEobTplVFIE0TQqHANtGUixhbg0OezYwXgXTqDXUy5V2LUpgd7ehkknxfHzvOP5/EY4/b+2Wz3ui+iaLCYcKLFpJ5aer/7FoD/cOPnWvWd/PNADUVkP6Ud7nhBDoTvAikIMx0gq2OaoiVTpPv6yPsdAWWQufzZeckBwY3/WpZk1tg7kTfisWhlUx4TTNeF/AEOkatxFCBuGs740MjZgmXikCmnn6a9PPPY86ezcBdd48QkK+cd569xuZmrIGBkh3Sbs1f2RpI5/XtH/t4YZqtOK2fqj4CCZB49FEa1q0bURM2XlQ0gk6nR9oMpUaPQLpTQarxgQRb2JeKeAaBQsHvr4EcwGi2BaTX8Zz2NdGMcp1CHbZIfOnMs0hv2ULrhg0YTt1u/NBDJ23tkaVL6yIgCyKQ6RTZXbvY841vAhBdtapm5/V/Nt0a1WLceeWCIASHGSsgu7/3ffZedRUHPfVk2cidzmUDn8J2Z2vr/OSm291ony7qBnVtfMA3NSMxEQFZGIGc99nPjtjGS5f6BKRbQ9i4fr03HcM7ZioF2SxtH3g/mCF6fvazkgLSqNDGB2DW358IoRB9N/56hGhyJ71Uiisg83v3EnnrWyrebyyMaNT+IpHLFTT0WOmRtX0F+znit5xXZDlUJOJN0gkapSKQvTfdxOCmTTQceSTgsyJyI5Cp0SOQDeuOIH7EEehUitnn/ROdn/hETdYeWbqMxCOPTnpWYSxciyOwP0OWY7o+56KLiCxeXLPzeqUkjJHClgikIASKGSsgzZZZduo3kUCVGP8GQDY3PZpoACa5E9tNTRaPFdSJpGdgrQwD5XTwjhcrkSA8d96o23gRSF96Nt9j+/xFli5Fp9POtBX75p/vt1Nx0QMOILJ8Bam/PEvzm0tE+dyfbVkj8WERNv+rXyX11FMlBaQ76aVSQj4fveiK8dU/lsK9EVvpDKZ7zbQeOwLpiKbRom8l94tGA9tEYyUSGC0tWH19XgRy6D672av9nLMBuwNdxWJYqRQ6n7dFyiiR5MiSJSy79pqarz2ydKnt7blnz6gZksmmMAKZ9sohXMuuWlHwxXAaNdEIwkxnxraQudMS3NFmpdD5fPBtGpz6vcm28nEjS8XpaStZOC/YaGiYUA2kHhq7BtK9qW//54+Rc4RjvrcXo7GRUGen/bzPV7/l/EyN5mYaX38Uy665xmuEKDiuE70tF7n1RyCVUsOdx8Vd2KNMeimF6dQsAkRWrqh4v7FQJax1XLE7mjAyxpnCVtFogGsgh+z6UIZ/XrnubuKHH07zm97kbWdE7ZnGbl3rZDTCTBRXsJUz5K4VeV8NpE6lpmz+dOygA2ndsIFQZ2f5FLY00QhC4JixAtJ0TKv9wqMY/wzdoOKJn0m28nGFR8FM4XwenU4XTpGIx6uqgcz39/Py2Wez7fQNbDt9A5mdOwvm4pYismwZTU6doDt/O9fTg9na6nnv5fuGbVvcn6lZxpjcw7R//ct1sSvnfVd8DXceF3dhp6uK3oWXLGH2Jz5Ox0c+4qVTJwNvPrX/Z+YJo9GaaOJjblP6fJHAdmHrRBKzo8N+7EQgc93dhJzXXFQ8bqdrnetUTS1rrQg5xtQTnfJULVb/QMGXJHdOu2saXytUKMT8L/070TUHj5HCFgEpCEFiBgtIOwLp7zwsZjr4QLpNNJMegXSFgU9cuePVjIIIZLyqGsjBTZsYeuCPGE1NmB3tNB1zDLPe/vZR91GGwdzPfBqwTY3BjkCabW2e957lePHB8M+0nDG5d1y3+7rE/Giw5yC3btjAsut+CTDC9sXFNlevooNZKTrPO485F15Q1rpoPJTyZnQfjyZwx53CDge7icZss0sF3AhkvrubUGdht7QbgfTGUVZRilAr3Mkm2V1TKyDzA/1eRF+npy4C6WI2NZcXkNJEIwiBI+DqqHa4Y/PcermS5PKohmDX3XhNNLnJFZBWqYkm3tjB4ZusamioqgZy8N77MDs6WHLVf1dlwhtyOr89AdnTa0cgW9wI5LCAdGu5jDLTVzzcCGS+dPRWGUaBB2a5+c/VRiBrhVsD6Y8Kak/0j53CrrqJJhotOToxCFiJBGZjk51mTyWxMhnyfX2YRXY7bgTSG0dZxReBWmHMmoWKxaY+AjkwSKizk+z27XYE0jXgnyLhZjQ1kS9joK4zGa/jXRCEYDDjI5BjpbCDXgPpNdFYNYpAMhzd9MRIgz+F3eBFJkdj3zXX8ty6I+n/7W9pOvYNVU9wMKJRzNmzy0YgCwWkOxlkdAHpiu9yEchSawAm3IVdK1wBqMcdgRxHDWSmuvGSU4WVSNiG97EYVipN3pkgU+zXaMRiBRHIIKSwlVKE5s4h1zWzIpBGUyNWXx99t9xC3+23kx/0m/dnJjVaLwjCxJnBAtIxwR4thT0dfCBr1UTj73h2orSuUCxooonHKxKQycceA9Ok/Ywz6PjoR8e1pvCCBeS8CGQPZlsrRotjidPrT2HbEUizeYyIhVcDWdm1cwVW12WXebWYUH0Xdq1QJQRuRTWQ422iiYQDncI2GhrsOd+pJLluV0B2FmynYjEyr7xC/623AsFoogEIz5035Slsq38As70NlLKjsllXQE7N38DwwoXobJadF/0LOy/8NH2//rX3nqSwBSF4BDu8VkO8LuxRIpBMBx/IUI2aaHypyVc/+zmMeNzzXixoomloQFeQwraGhogsXMjci/9l3GsKL1hA6sknSTz8MNbgIGZrq20pFAqNSGGreHzMyEm1EUgVCtHx0Y+y94c/ZPD+zURXr/ZscoIQgfTb+CQee4zBjZu8mcajRSC9STRViicjGiUXQAHpNXs1NKBiUfpuuJG8KyCLaiAjS5aQePBB9l19NYRCXqlEvQnNnWt/6Zoi+u/4X/tL2awWVCyGTqW9L5FTFflre//7aXrjG9HZLC/+w9sKu8IzmZo38wiCUB0zVkAq07RrbkaLQGZzZU2mg4IrcGsVgYyuXkVm2zbv9dhrXkP0gNXec7uJpjIBaZTz26yQyPJlDNxxBy996AwAwvPmo5TCbGkZkcIeM/rIsPiu5trNOf9T9N10E6lnn7X3zWRA64BEIIe7xLsuv5zkk0+iQiHMtjYiS8obQXtd5tU20USigezC9pq9GhrpOPsceq+/nsFNmwAIzZlbsO28S79A5/mfsrePRCb8OzpZhOfOoX/HDrq+8Q3mXHhhzc+359vfBiB+2GEYv/oVVh1S2EopIosW2U/CYbTPLsv2gZQIpCAEiWCroxpjzpqFNVoNZD7vpYgDS82aaNKgFMtvuWXUaRiqwhR2fmjI6y4dL7PPPZfGo45CWxYqHKZh7VoAzLZWcnu7h9feP1BZwb0xPhP22MEHk/qLIyArSBFPFW6NpjU4SOqvf6XtH/+ReZ8bOdlnxH5ORNkVoJVSbvZ2vbGG3GavBtre+x5a3/VOBu68ExWLE55baMytDMPziwwSs97+dvb++L/p/dX1UyIgdSZDy2mn0fzmv2NXUQSyHqljIxr1Rky665MIpCAEi4Cro9pizJo1upH4dPCBrFkTTRYVjY45Ss02Ek+OOXbNGhrCaGqa0JqMeJzGo48e8Xp0+XLSL2wF7PnSA7//PfHDDx/7gFXWQLrE1hzM4L33suOCC70u5CB0YYeXLEHF4/TdfAs6mSR20EEV7Rc/5LXEjziCyNKlVZ0vqDWQVsJuvnDdAlQ4zKy3va2eS6qa2MEHM+czn6Hrssvs7vGWMTxNJ4iVyXg1sEY0ajfRuF3YdWhecdPo3vpkEo0gBI4Z20QDYDY1MXjPPbx87rmknvvriPenhQ+kWZsIZKWzZ414A+TzDNx5JwP3bGTwvvtLpjUnI4VdjsiqVWRefhkrk6H7hz8EoMk3baQcjevXAzDrpJOqOl/Tm08gunIlqWefJfPCVqIHHED80NdVve7JxohEaFy/nqHNmwGIHnRgRftFli1j2bXXYFYp8I1oQFPYieEI5HQmsswW9JmXXqr5uXQ67UWg3c51a4pT2H5cEQuw85LP2iNnq2zyEgShtgRcHdWWhqOOIv3iiwzdex+D644kduABhRvk8p5Rd1DxBG4ZL8Px4r+hjIZrKr7jE5/0Xpv/5f9H67vfXbCdNThYMwEZXbUK8nnSzz9P8pFHaX3/+5h97kfG3m/FCg7e8peqzxd/7WtYcest41lqzWk6/o0MbtwIONelhqhIFCuVoueXv6zpeaol8/IrwP4gIJcBtoCMv274C0p2dxcvHH88S35yVcmI/HjQ6bRXAqFi0eFRhoZRly/R9px1W8Amn3oSgNYNp0/5OgRBKM+MFpCdn/g4nZ/4OFsOPczrMPZjp7CDXbhdrokmvXUru7/+dchmaf77k2h773uqOq7OZDAqqTnSdgdz2wc/SMtpp/HSmWeS2vJc4Sa5nH2DaqqVgLSberovvwIrkaDx9a+vyXmmAy3vfCdGQwOhefM8QVArwgsXQi7Hrku/WNPzjAvTJByQjurxEl68GAyDxEMPE1m8GLO9nciSJSSfeAKAfddeOykCUmtdUGNoRGNYaXuUYb3Sxq6IBXssZcuppw432AiCEAhmtIB0MVtbC2Ypu+h8PvA2PuWaaAY3/YGhP9xLZOlSdl16Kennny+4GahQiLYPfnBEU4GLlUlXdPNoOfVUVDRG6+nvRoVCRFesILP1hcJjOdMlzFqlsJcvw+zoYHDTJoyGBhpmsIA0olFa3vGOKTlX2/veS/OJb626CWkqULFYRZ34QcaIRIgsXUrv9dfTe/31EApxwOb7vRntTFLZitcs44tAWnv3OaKyPl+gbRFrC0jXFF4QhGAhAhJsGxifEbVHNht8G58yTTS5rt2ohgaW3Xgjr5xzDr033ljwvk4mMVtm0XHOOSWP6zbRjIXZ2krb+97rPY+uXMnQgw8WbOPOt51oE005jEiEVffcbZtHx+OBMYOeCYTa2+u9hP2axT+6ksy2bSQff5zu7/+A7K7dnuAr1/yltWbPN7/FrJNPHlmWU2p7b1rRcAQy69j41DcCaa/LSianfTmCIOyPBFsdTRFma2vZFHbQRxmWa6LJ7u4iPGcOZlMjy64bWaP23BHryI4ya3e8N4/IqpX03XwzvTfdRPyQQ4iuXOnNt62lx54RjdY8ZSsIU01k0SIiixZhNDTQ/f0fkOve4816L2eAn3r6afb+6Eck//xnlv706jHP4QrI4RpIx8anjp3PRjRGtq+vwBReEIRgMaO7sF1KCUhtWaA1KuA+kG6Buy5qosnt2kVoFN/F0Jw55Lr2lH2/0iaaYuKH2MX+r158Cds/9nFgOIUdFJNmQZhuuDO8893d3vCDcgb4Q/ffD0B4FPN4P26zijvJyIhFPSPxepl3uyLWM4WPi4AUhKAhApIyAtIZDRh0Gx+vRrPoZpLt2k2oTH0jOAJyjAjkeEaYNa5/Pavuvov2s88ms20b+b4+rEFXQNYmhS0I+zuugMx1d2M5EUi3ycTPvquvZs93vgtU3oU+ogYyHkcnkuP+GzAZGNEIOpUqMIUXBCFYiIDEbaLpQ2s9/KInIAPeRFMiha0ti1zXHsJz55XdzY5AdpV938qkxz35IbxwIY1vOAaA1LPPSgRSECaI0diIamggt2c4Almq7GbAGdkIoJMjBWYpdKawBtJsasJKJGyT/Do10Si3EzzpCkhpohGEoBHs8NoUYba0QC6HNTTkmSm7Ecig10B6EUgrT35wyP7/vn2Qy42awg7PncNAV1fZCTLaN5liPMRf8xoA+m67zZsTLQJSEMZPaPZsct3dYNm1j/menhHb5F7dRfNJJ5F65pmCUYCjUVwDaTQ2gdZYvX2VWXnVABWLotPp/cYUXhD2R4KtjqYIs7UVsL/RFwvIoPtAuhHI3htuZMf5FxS8FZ4/egRSZ7Pke3tLzgLW6Yl1YJqtrXZDzY2/BuxpFqG21nEfTxBmOq6AdK118v39BVZjWmuyu3fTdPzxZLZurTgCabld2G4NpPNFL9fTM+H59ePF9aJ0ayBVXCKQghA06iIglVKXAacAGWAr8GGt9ch8zBRhOsJm1xcuZfGPf4RSyicgg53Cdms0hzZvxuzo8CawqFicxuOOK7tfaI5dH5nbtau0gMxkxtVE42fZtdeS3bULALO1TSKQgjABQrNnk35xK6ZbS6w1iT/9idiaNZitrVj9/ehkktC8eah4HKtEjWQptNtE49r4OF+i8z09RBZX1ogz2ahYFLJZ8gN2vadEIAUheNQrAnkncInWOqeU+hpwCfAvdVoLMSfdOrR5M/nubkKdnb4ayGAHaZUxXMbacPjhtJ95ZkX7xdasAdOk+8oraTnllBHvW0NDE7bwMFta7PIAQRAmTGTpEgY2bsRsbbEzD/k8L599DrFDX8fy664ju8tuigvPn4cRi6Gd6N1YuDWQXgrbmRhlDQzUz8bH8XLN99hxBRGQghA86qKOtNa/9z19EKjrkNPw3Lks/NY32XH+BeR6egh1dk6bGkj/+mKvO6Ti3SJLltBx9ofZ+6MfM/C7O0ofur1jwssTBGFyaD7hBPb+6Mfk93TT8u530XLKKfTfcQe9v7yO7K5d5Ha9CkBo7lxULOqJr7HwjMQdseifGFU3I3Enne7WeYqAFITgEQR1dDZwXb0XYbbZEzXy++w/WG5Xc9B9IA1fbVDDYYdVtW/nBRcw65RT0NnsiPeUUkRXr57w+gRBmBxihx5KaMF8cjtfJTS7k8b16wl1dtL7y+vYdekXvS+94XnzMGJxcqlXKzqu5wPpRSCH7bbqNcpQxVwBuc9ek9RACkLgqJk6UkrdBZTq4vic1vpmZ5vPATng2lGOcy5wLsCSJUtqsFIbs92uA3T/YOmcLaqCPsrQnDWLpb/4OdZQgvi6dVXtq5QidsDYo84EQag/SikWX3EFySefovmtbwEgsmIFDUevJ/HQQwBEDzyQUGcnRjyGVamNT5kmGvu1+qawcxKBFITAUjN1pLV+y2jvK6XOAk4GTtAFBowjjnMlcCXAunXrym43UdxGktw+W0B6xtxmsJtoABrWrq33EgRBmAJia9bY9csOSimW/uQnI7ZT0VjlTTReDWRhEw1Qv0k0TjQ0v68HlELJfHtBCBz16sI+CbgIOF5rnajHGorxrHycuqHpMolGEAShGCNeeRONZ+NTKoVd9yaaHlQ8XtAsKAhCMKjXp/IKoBm4Uyn1hFLqv+q0Dg8VDmO0tNgm3IDOThMfSEEQhCJULO4Jw7HwbHwcsegfXxieU34cai1xI47Jp56S9LUgBJR6dWGvqsd5xyLU1kaux01hTw8fSEEQhGKMeAxyOXQ2O2YjjM5kIBwenmrlI3rgQbVa4qjEDzmEtg99CGtoiPhhh9ZlDYIgjI7kZ32YbW2+LmxJYQuCMD1RUTuCZ6VSmGMJyHS6IOroJ3pgfZrsjHiceZ/7bF3OLQhCZUhhiQ+zvZ3En/7E4L33DvtABtzGRxAEoRgj7gjICuogrUy67Nz7UGfnpK5LEIT9BxGQPpredDwA3VdeORyBDLiNjyAIQjFuDaGuoA5SpzMjBKTZ3o7R3IxSqibrEwRh+iPqyEfbhg2knnyKgTvvlBS2IAjTFreLuZIIpE6lRtj1rLrn7pqsSxCE/QeJQBYRXbWSfG8vuT177BemgQ+kIAiCHzcC2X3F99j+qfNH3dZKJjHihZ3ORizmiVBBEIRSSHitiMhKu0E8veU5QGx8BEGYfhgxe/TfwO9/D4DW3yybjraSSbHKEQShaiQCWUR01UoABu62Uzhi4yMIwnQj1Dm74Lk1MFB2WyuZkFnTgiBUjQjIIkJz59L81rcQam+jYf16QnPn1ntJgiAIVRFduZKVd/yOzk9+AoBc996y2+pEAqNBBKQgCNUhKewilFIsuvzyei9DEARhQkSWLSN+qG3Cnd/bDSuWl9zOSkgKWxCE6pEIpCAIwn6K2dEBQG5v+QiklUyiJIUtCEKViIAUBEHYTwm5AnKUFLaVSIzowhYEQRgLEZCCIAj7KWZbGxgGub3dJd/XloVOpaSJRhCEqhEBKQiCsJ+iTBOzrY18mQikdozGjUaJQAqCUB3SRCMIgrAfE+rooP+3vyXx+GMARFevZtG3vgUMT6qRGkhBEKpFIpCCIAj7MR3nnE3jsccSXbkKFQoz8Ls7sBIJAO//UgMpCEK1SARSEARhP6bl1FNpOfVUAHpvuolXL76E3J49RJYu9SKQUgMpCEK1SARSEARhhhCeMweAXFcX4ItASg2kIAhVIgJSEARhhhByBGTWEZBaIpCCIIwTEZCCIAgzhJAXgdwDDEcgpYlGEIRqEQEpCIIwQzCam1Gx2HAK241AyihDQRCqRASkIAjCDEEpRWjOHF8NpAhIQRDGh3RhC4IgzCBCczoZ2LiRrSefTL63D5AaSEEQqkcEpCAIwgyi/Ywz6L/9t97zyOJFGM3NdVyRIAjTERGQgiAIM4hZJ57IrBNPrPcyBEGY5kgNpCAIgiAIglAVIiAFQRAEQRCEqhABKQiCIAiCIFSFCEhBEARBEAShKkRACoIgCIIgCFUhAlIQBEEQBEGoChGQgiAIgiAIQlWIgBQEQRAEQRCqQmmt672GilFK7QFemsRDzga6J/F4MxW5jhNHruHEkWs4Och1nDiTeQ2Xaq07J+lYgjBpTCsBOdkopR7RWq+r9zqmO3IdJ45cw4kj13BykOs4ceQaCjMBSWELgiAIgiAIVSECUhAEQRAEQaiKmS4gr6z3AvYT5DpOHLmGE0eu4eQg13HiyDUU9ntmdA2kIAiCIAiCUD0zPQIpCIIgCIIgVMmMFZBKqZOUUs8ppV5QSl1c7/UEFaXUVUqpLqXU077X2pVSdyqlnnf+3+a8rpRS33Wu6ZNKqcPrt/LgoJRarJTaqJR6Vin1jFLqk87rch2rQCkVU0o9pJT6s3Mdv+i8vlwp9Sfnel2nlIo4r0ed5y847y+r5/qDhFLKVEo9rpS6zXku17AKlFJ/U0o9pZR6Qin1iPOafJ6FGcWMFJBKKRP4HvAPwBrg/UqpNfVdVWD5H+CkotcuBu7WWq8G7naeg309Vzv/nQv8YIrWGHRywIVa6zXAeuCfnd83uY7VkQberLU+FDgMOEkptR74GvAtrfUqoAc4x9n+HKDHef1bznaCzSeBv/ieyzWsnr/TWh/ms+uRz7Mwo5iRAhI4CnhBa/2i1joD/BI4tc5rCiRa63uBfUUvnwpc7Ty+GjjN9/pPtc2DQKtSav7UrDS4aK1f1Vo/5jwewL5xL0SuY1U412PQeRp2/tPAm4EbnNeLr6N7fW8ATlBKqSlabmBRSi0C3g782HmukGs4GcjnWY54LHoAAAWCSURBVJhRzFQBuRB4xfd8u/OaUBlztdavOo93AXOdx3Jdx8BJAa4F/oRcx6pxUq9PAF3AncBWoFdrnXM28V8r7zo67/cBHVO74kDybeAiwHKedyDXsFo08Hul1KNKqXOd1+TzLMwoQvVegDC90VprpZS08leAUqoJuBH4lNa63x/IketYGVrrPHCYUqoV+A1wUJ2XNK1QSp0MdGmtH1VKvane65nGHKu13qGUmgPcqZTa4n9TPs/CTGCmRiB3AIt9zxc5rwmVsdtNwTj/73Jel+taBqVUGFs8Xqu1/rXzslzHcaK17gU2AkdjpwTdL8P+a+VdR+f9FmDvFC81aLwBeIdS6m/YpTtvBr6DXMOq0FrvcP7fhf1F5ijk8yzMMGaqgHwYWO10HkaA9wG31HlN04lbgDOdx2cCN/teP8PpOlwP9PlSOjMWp2bsv4G/aK2/6XtLrmMVKKU6ncgjSqk48FbsetKNwOnOZsXX0b2+pwP36BlufKu1vkRrvUhrvQz77949WusPItewYpRSjUqpZvcxcCLwNPJ5FmYYM9ZIXCn1NuxaIBO4Smv95TovKZAopX4BvAmYDewGvgDcBPwKWAK8BLxHa73PEUpXYHdtJ4APa60fqce6g4RS6ljgPuAphuvOPotdBynXsUKUUq/Dbk4wsb/8/kpr/e9KqRXY0bR24HHgH7XWaaVUDPgZds3pPuB9WusX67P64OGksD+ttT5ZrmHlONfqN87TEPBzrfWXlVIdyOdZmEHMWAEpCIIgCIIgjI+ZmsIWBEEQBEEQxokISEEQBEEQBKEqREAKgiAIgiAIVSECUhAEQRAEQagKEZCCIAiCIAhCVYiAFISAo5RappR6usbneIdS6mLn8WlKqTWTeOzDHNusEecSBEEQpiciIAVBQGt9i9b6q87T04CqBKRvikkpDgM8AVl0LkEQBGEaIj6QghBwlFLLgN8B9wPHYI9BO1VrnVRKbcI2fj4OaATOAC4BDgGu01r/q3OMM4BPAxp4Umv9oaJznAWsA34O3Ab0Of+929nke0AnthHyR7TWW5RS/wOksE2mN2MbUX8HiAFJ4MPANuAFIO6s+yvO43Va6485/7arsI3q92CbLL/sHLvfWdM84CKt9Q3jv4qCIAjCZDJa1EAQhOCwGni/1vojSqlfYQu7a5z3MlrrdUqpT2KPTzsCe2rIVqXUt7AF2L8Cx2itu5VS7eVOorV+QCl1C3CbK9iUUncD/1dr/bxS6vXA97FnKIM91/cYrXVeKTULOE5rnVNKvQX4D631u5VSn8cRjM7xzvKd8nLgaq311Uqps4HvYkdAAeYDxwIHYY+DEwEpCIIQEERACsL0YJvW+gnn8aPAMt977hz3p4Bn3Dm7SqkXgcXY0cnrtdbdAFrrfZWeVCnVhB31vN6eyAZA1LfJ9VrrvPO4BbhaKbUaO9IZruAURwPvch7/DPi6772btNYW8KxSam6laxYEQRBqjwhIQZgepH2P89hp4OL3rKLtLCb+GTeAXq31YWXeH/I9/hKwUWv9Tic1vWmC5/b/W1TZrQRBEIQpR5poBGH/5x5gg1KqA2C0FLbDANAMoLXuB7YppTY4+yql1KFl9mvBrnMEOKvU8UrwAPA+5/EHgfvGWJsgCIIQAERACsJ+jtb6GeDLwB+UUn8GvjnGLr8EPqOUelwptRJb2J3j7PsMcGqZ/b4OfEUp9TiFkc+NwBql1BNKqfcW7fNx4MNKqSeBDwGfrObfJgiCINQH6cIWBEEQBEEQqkIikIIgCIIgCEJViIAUBEEQBEEQqkIEpCAIgiAIglAVIiAFQRAEQRCEqhABKQiCIAiCIFSFCEhBEARBEAShKkRACoIgCIIgCFUhAlIQBEEQBEGoiv8PY1K4BFw4C6IAAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(8,4))\n", "for i, col in samples.iteritems():\n", " plt.plot(col, label=col.name)\n", "plt.legend(bbox_to_anchor=(1., 1.))\n", "plt.xlabel('hmc iteration')\n", "plt.ylabel('parameter value')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You can also inspect the marginal distribution of samples:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "hyperparameters = ['GPR/kern/lengthscales', \n", " 'GPR/kern/variance', \n", " 'GPR/likelihood/variance', \n", " 'GPR/mean_function/A', \n", " 'GPR/mean_function/b']\n", "\n", "fig, axarr = plt.subplots(1, len(hyperparameters), figsize=(15,3))\n", "for i, hyp in enumerate(hyperparameters):\n", " ax = axarr[i]\n", " ax.hist(np.stack(samples[hyp]).reshape(-1,1),bins=20)\n", " ax.set_title(hyp);#\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "\n", "**NOTE:** The sampler runs in unconstrained space (so that positive parameters remain positive, and parameters that are not trainable are ignored).\n", "However, GPflow returns a dataframe with values in the true units.\n", "\n", "This notebook is for illustrative purposes only; for serious analysis you would most certainly want to run the sampler for longer, with multiple chains and convergence checks. \n" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'signal_variance')" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "f, axs = plt.subplots(1,3, figsize=(12,4))\n", "\n", "axs[0].plot(samples['GPR/likelihood/variance'],\n", " samples['GPR/kern/variance'], 'k.', alpha = 0.15)\n", "axs[0].set_xlabel('noise_variance')\n", "axs[0].set_ylabel('signal_variance')\n", "\n", "axs[1].plot(samples['GPR/likelihood/variance'],\n", " samples['GPR/kern/lengthscales'], 'k.', alpha = 0.15)\n", "axs[1].set_xlabel('noise_variance')\n", "axs[1].set_ylabel('lengthscale')\n", "\n", "axs[2].plot(samples['GPR/kern/lengthscales'],\n", " samples['GPR/kern/variance'], 'k.', alpha = 0.1)\n", "axs[2].set_xlabel('lengthscale')\n", "axs[2].set_ylabel('signal_variance')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To plot the posterior of predictions, we'll iterate through the samples and set the model state with each sample. Then, for that state (the set of hyperparameters) we'll draw some samples from the prediction function." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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IuhuwFo9tbLgBK40uK40ubyw0yKUcpooppssZCaKFEOKAaa1pdAMqTY9K26Pa9oii+99vpdnlxGiWM+O77/EqhDg8/DBiuRkHzntcFNhzqANnWM8CTxbM17365Grbo9q+dz/nwcEo+9kxwxlojXduIm+ev+Wx2uyy2vJodQOuLwfcWGkxVUxzfCSzIfAWQgix/zpeyLXlJqstDz/YGCnn0w6juSQJ28KxFLal+h9tS7FY73Jnrc3t1TYLNZeLU4UNpXxCiEfPQs0limA0n9y3ROahD5w3G6xPPj5iruv1c652TDDdGujnPBPfL+lYcZ10XC+ddva8srInnbA5Vs5wrJwhijRrbY/ZaoflRpeFmstCzaWQdjgxmmWqmJZ6aCGE2GeLdZfX5+sEoQZMSd9oLslYLsVILkHKufebZjmbZLqc5o2FBtW2z6uzNWarbZ46UiSfeuTeKoUQwFzVLAo8tk9lGgBKa71vD7bfLl++rK9cubLj+/VKKWodv3/ZnH0Ak4Eopk3HjVImQS5p70utdI/rh9xZ6zBb7fSfP+FYnBjJcHI0u2+BuxBCPKnCSPPGQqP/BjlRSHF+Mk9ul8GuWYHv8tZSEz+IUArOTuQ5M57bz80WQjxgDdfnpesVHFvxkQsT9+2GppR6WWt9+X6P+1geRjtbTBlsewH1znow3XD9gW4ZZodrx7XSvS4epUyCpLP74DadsDk/mefseI6FustMpU3DDbi+3GJmrcPpsSzHR7KSgRZCiF2ouyYz3O6GWBZcnCpwfGT3o3TBnNWcLmeYKKS4ttzkTqXDtaUm2aTNVFFKN4R4VMzHQ++OlNL72kL4sQyct5JNOmST6+3nBrtl9IJp1w/NYpKmN3A/m1LWLDwsZxK7ymJYltkRT5czrLU8ri03qbZ93lpscmu1zZnxHMfKGekNLYQQQ7q92ubt5QZRZHrtv/N4aV9LKhK2xdNHiuSSDm8sNLg6X6eQNu8j9xPF3TpspWS/LsRDEEW6HzhP72OZBjxBgfNmW3XLcP2w37mj1jFBddsLaXsh83E7k4RjUc4kGMkmKWUTFFI7G4YykktyOTfKSrPLtaUmDTfgjYWGCaAnckyX0vtaLiKEEI+TKNJ8dbbWn/p6fDTDhcnCAztzd2I0y0qzy+xah8+9vcIzR0v4UUQ3iPCCCC+MCCONH0brLe6i9RJIpUzyxLEUtooXJdoW2aRNLumQSdpkkzaZhC1BthD7ZKXZxQ+ifknufnpiA+etrHfwMFnpKNI0vYBqa33hoRdELDe6/Z22bSmKGYdSJhm3xEsM1cZoPJ9iPJ9iqeFybalFqxvw+lydW6stzk/m+9sghBBi3Y3VFsuNLo6teGa6uG/7Si+I6Hghbd8kTDpx0qTtBbh+yI2VFt0gYrbq3nehUS9Y1loTRRCGmjDcuJ5orXX3fTIJm1zK6ZcKFjP711pViCfJbHX/JgVuJoHzPViWMqO20wlOYurm2l7Qb4NX7Xi0u+FdY7qzKZtyJjnUiO7JQpqJfIrFepdry03a3ZBXZmqUs23OT+aljZ0QQsRqHZ+bKybifO54eU9TwLqB2XdXWh5rbY+OF25725Rj89TRAjeWm/hhRC5tM13KkHJsHFuRsCxs22SVE7a1IdiNBoas9Aau9IL0lrcepK8H6mE/MbO5tWo5u/fJuUI87lw/pNLyUIoH0lJSAucd6tVK92pmvCCKa6RNRro3WbDd7WwY0V1IJzaMDh+sk1NKcaSUZrKQYrba4fpKi2rb58rNtT2vEBdCiMdBGGlem6uhNZwcy+44aI4iTaVtptCutjyabrDh+7alyGwqn8gmbTJJu9/K7vZqmzcXG3T9iMlCeqj5AJalsFDcL96NIk3bD2m4plRwu9aqxUyC8XySsXyKYnp/puYK8ThZqLloDZPF1J4aPGxHorE9SjoWE4UUEwUzpjuKNA3XTDmsxWO5215Ire1Ta/sb+kqX4zZ45UySQtpkpU+MZjlaSnNztc1Mpc1yo8tKs8t0OcO5ifwD+SMQQojDrndGLpuyOTeRH+o+vWB5se6y1OhuKJewLNO7eTSbZDSfpJC6fxB6cizLWttjudHlq7M1Lp8a2be6ZMtan1FwND69PNhatdo2mfF6/L5yfblF0rFM2V8hyXguJTXSQrDeu/noAyjTAAmc951lKdMXOpvgRHydH0ZmZzfQW9oLIpbqXZbq3fh+rLfByyY4MZrh+EiGGyst5qodZtc6LNZdzk3kOT6SkSyDEOKJsdbyuL3aRil4drp0z7pfrTXVts9CHCwP9vDPpx3G8ylGc6ZL0m4CzWemi7x0vUK943NtucmFqcKufqZhbGytmiOMNJWWx0rTJFS6fsRctcNctUPSsZgum/cNKecQT6pq26PthfFB5YMpdZXA+QAkbIuxfIqxfKp/Xasb9E/H9Wqle7XTrJrbZJI2pUyC4yMZlhpdXD/sN/p/+kiRUnZ/V4oKIcRhE4QRV+frAJwez1HKbL3fa3umJ/98zaXrrwfL2ZTNkWKaI6X0UK3k7idhW1w6VuTlW2vcWm1Tzib7ZxwfNNtSG85wNlyflabJqDfdgJsrLW6tthjPpzgxmt0wy0CIJ0F/UWD5wXUoO9SBc8MN+P23VuL2PXEbH0vhWBYJ27T0SdhmMYZjKRKORdK2SDnWoc/I5lIOudR6rbQfRlTb65MO667fXzDS0+wG1No+ScdioWayzxeO5O87SlYIIR5Vby016XghhbTDmbGN0/vCSLNYd5mrdkzSIZaJh5VMFVMU9rkVFZgSj3MTed5eavL6fJ1SZuyhlNEV0gkK6QRnxnNU2x534jOTvc5P2ZTNiZGszAkQTwQ/jPpn8fe7d/OgQx04azSuv/1K5+0oZWqI0wmbtGOTTpjPE3Gg7VgWjq36q6EPww4lYW+sldZam0A5zkrXOuZNIZdwWGy4XFtucn2lxYs3V3nmSJELU3lKmaTUQAshHhu9/smWZUokevvqWttnttphseH265ZtSzFZTHGsnDmQbkSnxrKstrqstXy+tlDnXcfLD/w576U3l+DCVJ7ZtQ6z1Q7trjlLebtiujTJ5EPxOFusu4SRZiSX2JezS9tRWuv73+ohee97L+vf//xLBJFpMB/E7XyCSOMHEUEU4QWaIIrwQ9OA3g+jDafphjGY0e5lr3vBdcJWpBw77vG8HoA/DK5vyjnW2h7ztQ5vLZoBKmAmHB4fyTCaS5k2eGnTA7SYdnAe0vYKIcRu+WHEi9dX6foR5yfzTJczLNRcZqsdWt31jhilbILpcoapQurA93UdL+TFG6uEoebSsdIDaX21W1GkzaCt5Vb/9SplE1ycLEiZn3gsvXR9lYYb7Pp/USn1stb68n1vd5gD58uXL+srV67s+H5RpOkGEa4f0g0iOn5INwjxA40fmelOQRjhR+bjTl8C21b9THZqIKOd6mW5E/aBNK3vBiFvLzV55U6NWtuj40eUswmOltI4lnkDGewD2uvisd8LR/wwYqHmkk7YD7zWL4xMD9SkY8lgACEeY6/O1pivdlCWYrKQYqXZJYpzIknH4mgpzXQ589Bbdc5WO7w+V8exFR88O3boFuZprZmruVxbauLFCyWnimnOT+aHaqcnxKOg7vp84XoFx1Z85MLErioJhg2cD3Wpxm5ZcT/OYXcKQRgRxJnsIDTZ694IVT+McP0INwhNIO5HhKGmFQa0uts/pmOrfhCdTlhxoG0+z6WcfclapxybZ6dLPDVV4OZqi5srLdwgou2FTBQcEpai5YXrfUAr5n7phN0PoouZnY8N7wnCiJm1DrdWWwTx6dJC2uHMRG5P07yCMGKt7dPsBnSD0Lz+8UFQb4V8wrE4NZrl+EhGMupCPGYW6y5fmamy1vY4M55jqd5FKRjLJzk2kjlUrdeOlTOmbWijy+vzdd59cuRhb9IGSimOxRn5XpvTxbrLctPl5GiWs+P5Q/NaCrFbs2vrLege9N/zY5lxftBMML0xoHPjrLbrR3SDsJ8Z2U42aZuhKHFZRWEfSiqa3YA3Fur9KYblbILzk3kibSZurbU9ah3/rtGvvQEtpcz6kJZ7HXREkebOWocbq61+IDuSS9D2wn6ZTDFjFqwMk4HWWlPrmAlelZbZxu3+LC0LHMvqZ04SjsXJ0SwnJIAW4pHXcH1urbT5nbeW6HgRR8tpTo/lmC5nOFpKH7psbo/rh7x4fZUg1Dx9tMDxkezD3qRtub45U7lQcwGzUP3SseIDWUQpxEEII83vvrVMGGo+eG6M/C7PQj3RpRoPm9YaL85Ud/31YNr1TdlIs+tvGVjnUg6juSRj+SQj2eSuSxEWai5vLjbwggil4MRolrPjORzb6i867E05rHXMpMPNelnpkVySkawptI8izXzd5fpysx8gl7IJzk3kGc0lCSPN7FqHm6utfmBbzCQ4O5FjPH93AF1r+9xcbVFpexuCeaXM/cpxWUlqoCQmaZuOKavNLjfiCYtgMvynxnISQAvxiNFas9zsMlNps9byWWq4zFVdJgspvvnSEcYLqUPfJQlMlvyrd2rYlinZOOxlELW2z2tzNdpeiGXB2fE8p8ayj8RrLcSguWqHq3N1StkE7zs9uuvHkcD5EIsiTcsLqLtBfwpUyws2BNO2pShnE4znU4zlkzteIeqHEdeXW9xZa6O1qQm8OFXYsmC+N6ClFg9pqba9fulFT8JWzMcZimzSZryQ4sJkYcuM8lYB9InRLE8dWR8UsFBzuTpf6//M2aTNaN40+h/JJocuZdkqgC6knYHFndb6gk9bYSmFAlD0P1dKkU5YD3QVrhBioyjSzFY73K60+203I23ay41mk3zw3NiG3vePgq/eqbFYdylnE7z31MihD0LDSPPWUoM7FXOau5xN8Ox06dAH/UIMunKzQrXt847pIsf20IZOAudHTBRp6nEz+9Vmt98toyebsjla2vnpyrrr88ZCg1ocWI7kEjx1pHjPUxmDWem1tsda2+fGSpOVhkfCMfVyI9lkv0Z6u/KOMNLcWWtzbblJFMG5yTxnxnPcWGlxbakJwPHRDKfHcns+BVtpeVxfbm7o5bpT0+UM5ydlrLkQD5LWmvmay/XlVr/dqOkKlO1PxZssph56e7fd8ALTCcQLIi5OFTg5dnhLNgatNE19dtePsG3FU1OFB9oHV4j90uwGvHhtFdtWfMP58T2dcZbA+RHXDUJWm565tLobMsCj+STTpQwThdRQ5Ry9VdVvLzXx4/KNk6NZzsTlG/ez1HD5wvUKbS/g1HiOMNS0vbvLO5KORTmboJxJUsquLzpcqru8cqeG1pqEY/V/lgfxxtLqBnSDqN81pde2sLfgU2uT1dLx69L7WG2bumrHVjLWXIgHQGvNYr3L9eVmf/+RSzmcmzBrISotjy/drmJbig+dO3zdKYa13OjylZkqlgUfODP20Lt+DMsLIr62UO8PkJgqpnnH0YKUvolD7c3FBrdX2xwbyfCOo8U9PZYEzo8RrTWrLY/5qlkJ3StvcGzFVNG0ZNpuDO0gP4x4e6nZX32adCzOTuQ4Vt4+SBxc9DIY6G4u76h1/P5CwR7bUhQzDqVMkkbH4/M3KnS8kLMTOT58bpzJQ9SMv9UNeGOxQaXpAaY7iIw1F2J/LDVcri2t9xPOJm3OTuSZKpr65SjSvHh9lbYXcn4yz+nx3H0e8XC7OldnrtphJJfkvaceTJeNF154gY9//ONMTk4CsLS0xKc//Wk+8YlP7Olx52sdvrbQIAw1uZTDcydKUsYmDqUo0vze2yv4QcT7zowOFQfdyxPdju5xo5RiPJ9iPJ/CDwss1Fzmay71jm8mRK11KKQdjo9m7zkEIGFbvONokelyhjcXTfnG1+YbzFQ6XJjK37WAT2vNq7M1glAzXkhtyA4nbIuxfGpDDWLbM+Ud1bZPtePR7oastXwW66YOea7awfVDckmbSssjm3LIJe1DkdnNpRzec3KEpbrLm/FgmS/erHC0bPqdylhzIXau7vq8udDol1ClEzZnJnIcLaY3tIy6VWnT9kKyKZuTo49GecO9XJjKs9zsstbyWKy7+z6x74UXXuCTn/wkP/mTP8lnP/tZAD760Y9y9epVgD0Fz0dLGYrpBF+5U6XVDfjCjQrvPFZ65OpVEFNbAAAgAElEQVTNxeNvqdHFDyLyaWfPQfNOSMb5EdZwfeZrLnPVTr/8wbYVR0tpjo9k79uSZbFuyjd6C3NGckkuTuX7bYmuLze5vtwi6Vh88OzYjmt/vSBidq3NSzcqrLU9okjjOIpGJ8S2FBem8uRS5g9+8PKwJjP2hJHmxkqL25UWUQSZpM0HzozKKUshhuQFEdeW189uJRyLs+Pm7NbmHquuH/L5a6uEkeY9p0YYzT34cdkHoTcYJZWw+NDZsX3dfywtLfUD5YmJCQCWl5d55pln+OxnP9vPQu9FEEa8NldnuWF6aJ+bePTPBIjHy8u31lhreTx1pMCJfTjgllKNJ0gUaRYbLrNrnQ2L48rZBCdHs0zco51Tryfz9ZVmP/g+Wk4zmk1ydb6O1uz6zWy50eXV2RphpClnE1yaLtENQj5/vcKdtTZBqDk5liW56Q0lm7QpxQNaytnkQ8tKN1yf/3Z1kbWWx1g+xZnxXL8mOtKmbd7RUpqjJVlEIwTcvT/ptcM8M57b9oD4KzNVlhtdpopp3nm8dMBb/OBorfnizTXqHZ/T41nOTxbuf6cdWFpa4tKlSywvLwMwMTHBq6++ui9Bc4/WJolwfbkFmLrnZ6aLMrVVPHRtL+Bzb69iW4qvvzC+Lwk3KdV4gliWijtuZGi4PrPVDvM1Ny6bqJFN2ZwZz3GkmL4rALUsxcmxLEfLaW6smPZ1M5U2/9/rS+SSDu87M7qroPn2aps3FxsAHCmleeZoEctSpJM2f/SZKf7w9hq1tk/Ctjg/maPthXG9tE/bC2l7IfNV0/7OsVU/iC7HnTwe9I672va4Olcn6VjUXJ+1tk8YRZQyG1+LSryA8+kjsohGPNlWm13eWGz0+8KP5pM8NVW45+K4lWaX5Ua3fwbqcaKU4qkjBb54o8LtSpujpYc/HnynlFKcnciTTzu8Nldnse7S8gKeP1F+ZBdvisfDXBwfTBRSB36WWjLOj6kgjJivudxabfdbPmWSNqfGskzfYyRl2wv4jdcWuLbcIpu0OT+RZ6qU5sx4bqjJUlGkeWOx0T9Fe3Yix9mJu98Q/TDiizcrtLvhhkxTFGka3aC/8LDa9vvb36MU5FNOPytdyiT2bfFKFGmurzS5tWr6X+fTDrZS3Fo1JSuXT4+SdCwU0PbMBK4w0mSTNpeOlyjK9C3xhPHDiDcXG/0D3WzS5sLU1j3eBw0uCLwwlefU2ONZBtBbKDiaT/KefRrHfRClGps1uwGvzFRpeyGphMV7To48cgcC4vEQRZrff3sFL4i4fHqEcnZ/yrsObcZZKWUDV4BZrfXHDvr5nxSObfGf/t3P8q3f+m1E6SI3V1rMzi/wCz/3K/z57/pf+mNsN2duKy2PfCrBs8eKHC1mWG11Waqby3ghxZmx3LadJvww4quzNSpND8uCZ46Wthy4AmZx4fMnyrx0o2IGHlST/frHXjB8Ir6t64dU271A2qPZDWi45nKHTvzzqg110sVd1ErXXZ/XZuu0ugFKwenxHGfHcyhlRn2vtXyWG12eO2H6y44Bo7kkX52t0XQDrtyscGFyf2qthHgUrDa7XI37//amz50czW57YD7o9sCCwBOHeET1Xp2fzLPUcKk0PZYaLpOFvS8U/PSnP83Vq1f7gTKsLw7cj84aW8mnzBnIV+5UWWv5XLm1xvMnyge6KEsIgPm6ixdE5FLOvgXNO3HgGWel1PcCl4Hi/QLny5cv68+/9IV+/91Qa9ODNzKBjG2ZSXC2pbCVGmpn/aTorbru7Vi11nzkmz7Km197nU/+4Kf4M3/xr+DYiuMjWU6MZkg5Nn4Y8QdvrxCEmkvHTNDr+iG3K21m1zqEkflbKWcTnBzLMpFfr53ueCFfmlmj3Q1JOBbPHy8P1cptvtbhtdk6tqV4/5nRoTIYQRjRiFvg9S5ecPcM895K23L23lnpKNLcXG1xY6WF1iZj9ux0acP2u37I56+vEobaHFQM1DVvnr41UUjxzHTxoS9yFOJBCcKItwZaWxYzCZ6dLg6dgRxcEPjuk+XHvmPDTKXNGwsN0gmbD50b25dSsxdeeIFv+7Zvozw2ThBqWrXKAwuaB4WR5quzNVYaXWxb8fzxMiOPyYJOcfhFkebz11fpeGE/Ttkvh3JxoFLqOPCvgH8MfO/9AueLl57TP/mLv7GDxzc1uwozTtlcTJ2WpUxWMmnbJB1r/WKbj6n4chhao+2He53K+8Vf+TXaVr4/TdCy4EgxQ9P1uVlpk0vavP/MGMWM02/D5gURtyvt/qI+MAcuhbSDbSmqHb/f9/P5E+UdjWx9dbbGQs0ln3Z4/+nRXR0AuX64IZBuuP6GEeZgVvaXM4l+MF1IJ4i05isz1f6iyhOjWc5P5rd8Y5urdrg6V8e2FR86e/eAhqW6y9X5OkGoSSds3n2yLKcyxWNnreVxdb5OxwuxLDgznuf0WHZH+87e//xEIdU/g/M401rz0o0KTTfgzESOc1uUr93v/suNLnU3wPVDukGI60d0g7C/n3sQCxC3E0Waq/N1FmoulgXvPFa+b2mOEPuh9z6cTZqD0P2M2Q5r4PwfgB8GCsD3bRU4K6W+B/gegKnjp9/7737zJew4q6wU2EqZhvlaE0WaINImEx1npfe2ffSD6XTCBNjphE02aS6ZhP1ILQC736rrxXqH12Yb3Kq0qLY9ri23yCRs3nOyzER8OjGVsCikExTTDoV0Ai8MeWO+yVtLjf5YcMdSjBdSXJzK8+6TIzvOtAZhxBduVGh7ISdGszx1ZO87/zDSNFx/vcRjiwEtYaSZq3WwUJRzCS6fHr3vnPteB4CRXJL3nCzf9U/b8UK+Oluj3vEppB3et8sDASEOmyjSvL3c5PZqGzBndJ6dLg619mHQWsvj5VtrWBZ86Oz4jg6yH2XVtseVm+bn/uDZsR2ty3h7qcHNlfaW3zPTWCO0hncdLx3YYCmtzXqWO5UOSsEz00XpMCQeKK01n79m1kVsPvO7Hw5djbNS6mPAktb6ZaXUN213O631TwE/BaZU46NPDb/IIYpMKUfUG6usQbP+tR9EeGGEF0T4YUQ3MJ/3PnpBRNc3l15QuFkqYcWBtEMu6VBIm8ujFFAv1l2uL69P8ZrMp5irdrCUySB7oWah3iGfSqC1TdePWGl0NzzG2fEcTS+Is06KQsqh1Q25ttzk1GhuR2+Gjm1x6XiJKzcrzFTajOaSe85e2JYyXTgG6p/a3np5x1K9yyt3qrh+RMqxmCimeH2uzrWlZr9GupQxBwyDv9t3HC1S66yy1vKYqXTuGhmeSZoDjxevV2i4ATdXW1sujhTiUTJ4QNir/z8zltvxQWEv2AI4Nbaz/cSjrpxNcqSUZqFmhiw9P2SmfabS5uZKG6XMa5ZN2qTipE46YWNbqt/F6LX5OrmUcyBnupRSPH2kiGNZ3Fxp8dqsOdsmazzEgzJfc826iKTNkYc4efggzyN/GPjTSqk/CaSBolLq32itv2O/nsCyFKbfwe5EkcYL4+A5COkGEa4f9tujdfygH1ivtfwN980mbYqZBIW0QzGdeOjBdK9UY3l5eUOpxoe+4Rv5Jz/zaUbGJrAtRSmbIGEpgkhz+ZTFybFcfxqPRpOwLUazSVIJi2Y3RCkYySYZzSUpph2UUqy1PG6utlhtetypmEmGk4U0J8eyQy8cKaYTnJvI89Zik6vzdT6QHt33dkfZpEM2aeqeV5seFyYLKAtOjWbp+FG/Vnq5YVpkgTkLMTikpZxN8PTRAq/M1Hh7ucFoPnnXoBnHtnhmusgf3lrjxkqL8UJq1902BruMBJEmjA8Og9B8DCONBjIJm1zKJp8yP+NOh9UIsZ2lhsvVufUSpHceK+16FP2dtQ5NNyCdsDn9mHbRuJfzk2ai4Eqjy9tLjfuWViw3uv22nr2pr1s5OZal7vos1Fy+cqfK+08f3MCm85N5ErbircUmbyw08MJox6UoQtyP1pqbK6af+JmJ3EMtqz2wwFlr/QPADwDEGefv28+geT9YliJt2XHAdvcbg9Ya149oewFtL6QZBzSt+Ou2F7JQW799NmXHWUuTwSyknAM7bb951fVS3eVj3/zHuP7m1/j9//ar/O2/+df7bemu3KyQSzmcHs9xfjLPxSnNXLXTb2W31OiSTsSt7LboxDGSSzKSS9LsBtxabbFYd/uXkVyCk6O5oTLIJ0ezVFqmL/JrczXec3Jk3/85mt2AL91eo+tHjOaTPH+ivKG0pO0F1DvBhlrpphvQdIMNU9AabkDbC/jijVW+4cLEXW9So7kkJ0azzFTavDZb5wNnhivZ6Az0s96uVnsYSceKA+kEY/kko9mklIyIHdlcmjFeSPHsHha99qYJAlyc2nodweMunbB55miRV2dr3Fxp4wWadxwtbLmfq3V8Xp2tobUJFLYLmnvecbRIww1odQOuztd51/GDqx0/NZbDsS2+Nl/nxnKLrh9t+3MJsRsL9cORbYaH1Md5IHC+b1eNR6GPcxRpmp5pj1bv+DTcgGb37oDHsiCfMlnLcjZBOZN8oJnBF154gT/1LX+OtSjDcqPL2uoyL//2r/FD3/+9/WzuUsPllZkaCcfi686NbXhTjCLNQt3l5mqrP9Qg4VgcK5uR3ttlhF0/ZKbS5k61QxgvJMynHc6O5+45xRCgG4S8dL2CF0Scm8xzZh9HvNY6Pl+6vUYQakZySZ47XrpvVqZXK93rKd3LSgdRxOvzDcJIczZ+UyumE/3e0rmkTaThpbhP7b0W7rS6AfM1l4Wae1fPalg/AEs59kAHGfqfo6DdDWl5Aa34Y+9177FtxVhcAjOWS0lGWtyT65vSjFrblGacn9x7n+XX5+vMru1vP+NH1XKjy1dnq0QRTBZTXJoubTiw7XghX7xp9oNHy2menR5uomLbC3jpRoUw1JyfPPgR2UsNl1dna0SR6S506VjpiTxAEvtrsLb5mentz7zs1aFcHLhTj0rgvJXNgzzqrt8PPgdlUzYj2STlbIKRbHJfyxPmax3eWGgQhBrHVlyYKmxY/DY4gOBes9611iw3u9xcaVPvmBIVpWA8n+LEaHbbyYJ+GDFX7XC70qbrR/2f9+x4nqni9gH0arPLl25XATg+muHCZGFPO1+tNYv1Lq8v1AlDzXghxTv3sEPvZYW/Nl83Y8kxGTQ1UCZk24pi2gGtuL7SJJOw+fD5MUZyJvPuBRGLdZf5mtt/TcEcmPRqq3fbjxpM4NPqBqy1fVaaXZoDNftKQSmTYLKQ5kgpLUG02GCl2eXV2dqOSjNeeOEFPv7xj/cXHi8tLW1ojVZ3fb5wvYJSZmGcdJsxiwW/NFMlDDWj+STvOmYO5L0g4spNs1h6NJ/k+ePlHZ0tWm50+cpMFaXg3SdHdjX5dS+qbY8vz1QJQk05m+C5TWf1hNipXtvaB9FJY5AEzoeQH/cfrrY91to+9Y7f743ck0maQHokt7dA+u2lZr8eaLyQ4ukjhbseq9dbNJu0+eDZsaF2zrW2z8xam6WG28+o9wYYHC2lt8zgRpFmdqD0A0xN+Ol4DPhWzztTafPWUoMo2rqv8jC0NhnzGyvrGfOpYppnp4v7UrYQRZrPXVul3Q04OZ4lm3D6JR6DmeP5WofFepdM0ub8ZJ6uHxJEEZmEQ8K2sG3FVCHN0VKacjbxQHYKrh+a2u1ml2rb6//uLAsmC2mOlTPSi1VwY6XFtSVTTjGWT/LsdOm+B1abe8bD+jCOn/iJn+ATn/gEV25WqLZ9To5luTh1MC3THgUN1+dLt6t4QUQpm+DSdInX5mpU2z75tMPlUyO7qlXu7f8TjsUHzuz/epH7aXUDvnS7iuubATfvOTkiI7rFrhxUthkkcH4kRJGm4QastT2q8VS8YNMp9mzSZiRnFuON5pJDHbm/udjg9qpZhf300eKWLdb8MOJz11bxg4h3nSjteJpVNwiZXeswW+30s8m2pZgqmiBsqyA3ijTzdZebKy063voY8HMTW2egG67Pa3N1mm7QX1F+dvz+K/m3e55TY1mOlTP7Gpj2joTTCZuvO7d+8OH6YX/CYbXV5bNvLjOz2iGdtBjLpVAKCmmHY+UsZ8azjOVTlLOJft/sB8kPI1abHvO1DqtNr399NmVzvJyVLPQTKAgjrs7XWaqbRbHnJofvzXy/8c9+ssDrc3WScTnYo9SB6CC0PRNkdrzQTFHNJSmkE1w+vftgU2vNl2aqVJoexUyCy6dGDnyNg+uHfHmmStMNSCXMpNidti4UYqFmyn8ySZsPDZng2y0JnB9BWpvyjrWWR6Xl9YeK9PROsY/lU4zlkxRSzoY3tsG+mpYFl45tHxD3+oKWs6Z/8W5FkSnjmKm0+0NEwHSiOFbObBmEbZUJLmYSXJzK3zU+M4o015ab3IoXKBXSDs8eK23oZBHErQW7QUTTDbhVaa2Xhtwns71XWmtevF6h1Q24OFXY0J4ujHS/VKXS6sY10RHPxZO2XD+664xDrztLr0zjQS8o7Xghs9UO87X1A6DeQJyzEznJEj0B2l7AV2ZqtLoBtq24NF3acTvI7XrG50qjfOFGhTDS+z7l63Hi+iH/9dUF3lpq4tiK506UmSqkKWYcipkE+eTO9wN+3B+/c59SvAfJD6P+iG7bVrzrWOmxnxIp9o/WZkpguxvyjumtk4D7SQLnx0AvI11px4F029sw5CXpWIzlk4znU4xkE7yxYE7P/cov/Ev+xz//5zk+fZQw0qysLPFff+UzfPt3/VU0mq4f8cpsFUspLp8aZaKQIp0wfUH3Mj2x1Q2Yq3aYq7n9YSOWBRP5NNPlNKO55F2B/nzN5dpysx+0TRRSXJjK3zUcYK3l8dpcHdc308pKmYRpDRhGdy2EAxO4nxnP3bOWer/0agodW/Hh8+OAabs1U2n3R4FnkzaWpah3fLJJhw+eHcVSirrrs9b2WWt71Np3l+5YFv2uLL0OLQ+i922vjn12bT0LbVuKE6NZTo1lpUbxMTVYz5xN2Tx/oryjwRw9WwXOr7zyVW62HZpuwJFSmkvHhlvg9iSqdXxeurHCzeU2Y4UUpU2ZWcuCQjpBJh7Mldo0+TadsLf8H+0t/k4lLD58bvyhdNaJIs1rc3UW6y5KwcWphxPEi0fPQWabQQLnx1IQRlTaHsv1LjNrHaptj7YX4PoRd9Y6dIOQ13/r0/zaT32KU+cu8k9/9pcA+Nvf/a3cuvYmn/zBT/Fn/uJfYabSZrXlMZJN3LVS3rIg7ZisZznuEJHflNm+nyjSrDS7zFY3lgKkEhZHSxmmy+kNb85hpLm12uLWapsw0igFx0eynBnPbchWB2HEG4sN5qvuhuezLWVGpicsUo7NZDHFRP7BB8yDXr5VYbneJZmwUYp+MF9ImwC+l8H74s016h2fsxO5uwaj9Lqz1OLuHfWOT9u7e0FpwrEopp0NwfR+lla0vYC3l5r90/aOrTg7nuf4SEZa2j1GBuuZJ+JWc7spo9iuVOP8xaf51M98mmNHj/D+MwfXV/gwutfiyc2TU89P5mm4PvVOQN3dfj+w2dFymotThbsC6Bevr9J0g4eWdQZzYH5tudVfd3N8NMPFyYLsT0Sf1ppuENHq9tr9+nzh5hpBGPHRpyYPZJDYYxE4P/uud+v/+Ju/SybpkIun9T1ptZdhpGl5po9wPd6Z9lrddbyQesfjraUmy00PW8GI1eGnf+AvM3/zbcqjY1hKUVld4eLT7+CXfuXXKYyM8fKtNbTWvPN4CYWi44e4vhn24gV3Nw22bbU+ACT+OOyboOuHzFU7zNfcfr0xwEguwdFShslCqv9Yrh9yfbnFXNX0S94uYKu7Znx2Ks6QP+xsqOuHvDZb53feXEIpxVNHCkwV05wey951WrI3dte2FV93buy+Nc1+GPWDaNOdJbhrdDiYjHYpm6CcTfbb4e31wKHW9nl7udEf9pNO2JybNGUv0p/10RVFmqvzdRZq5gD07ESOM+O7Hyiw1eLAj3zjN/HG117nr/29T/GP/u73DT0I6XF0v8WT3/gt38FCzSWfdnj/6a37vfcWlneDkK6/PgHXlKiFuH5IFJnkxNNHihtKbQ5D1rlnoeZydd60qxvNJ3nnsdJD33+Lh6ftmbPUK02PjhduOONa6/jcWGmRtC2eO1ni+eMjux68NKzHInC+eOk5/ZO/+BsbrnNsRS7lkE3a5JIO2ZT5mEnYj/TRqxdEdLyQphfQ7gY046OuzjaZhmzKpph2mK+5tNyQZMLi3EQOP9S8fXuW7/7YR6hWVgEoj47zX37nJZ49f4KZSpv5qrttb9BeoN7LetY6/l3boBTkUw4juaQJpIdY1Ka1ptr2ma12WG50+/8gtqWYKKSYKqYZy5khHQ3X562lJpU4W51N2VycKjB+yGrjOl7IzdUW87UOUWQyeBrN8yfKvP/M2Lb3+/JMlZVGlxOjWZ46svMOAx0v7GeiegdTm0s8nPhgp5xN9g92dvv/sdLs8tZisz+ivZB2eOpI4a56dHH4bag5tRTPHivueGHwVgYzqq4f8utX3uC3/vN/5Pv+5l/fc//nR929Fk/+/Gf+C8t+GttSfODs6K7KZID+0JNavM7kSCnNU0dM9llrzUs3Kg8969xTa/t85Y7pJJJN2jx/cnflQeLRFIQRi40u89XOhnVRsD64K5NweHu5gR9EZJI2SdvGskyZz/GRB/f3+3gEzs8+p3/83/86vS0MoohefKAApUznXIVCWb2xwyY7nU86JBIWjmWh0XhBtGEgiWbjz61QKBWP7VZgqfjrOAuz1cukFPEwCoVtKRxLYSnV7w8cROY5w3g0chhpgsiM7O74Jiju+OayVZ1u7zkySTNKuVfrWozHeffayTm24t0nR/pZncXFRS5deicrK6besDw6xk995rfJlka5sdJiJJvkj1+aYjw/3Bum64fUO37c+cNMs9v8emSTNuVskrF88r7dIbb7x3Fs05XjSNG0ZVtpery12OifphzLJ7k4VXioPWB7iyHnqh0qrfWa86limslCilfnzOjIe/Wqbbg+L12vYFnwobPje65ZHizxqLZ9qh2vXzPe06uVNuU35ne0k0zPVvXoR0ppzk/mZQHhI6LjhXxpZo12NySVsHjuRHnXo+C3o7XmD29XWWt5jOaTvPtEWc5OsHUN+Esvf5mbLYcw0jx7rMjR0t4WPmmtuV1pc2252c8+P3WkwGQhzVLd5ZU7hyPrDBs7bji24l3Hywfeb/qw2hyTPS7/P9W2x2y1w1J9Y+JsspjiaClDIe3035PWWh4v31ozg9nOjnFjtdWfYDpdzvD0kQdT5vNYBM4nLl7Sf+PHf6n/taXMC22CXI1GgdYEkabZDWh5AX5ggtMwjht6wa1ZRKH6p/fTCZukbcWBsgmSB4NxFFiYKxVxAD34ebw9St0daFu966yN192LY6v1wD8O/nOp7TPpHS/kxeurhJEpuZiKR1Deq97wb/zI/4vrFBiLx0EX0g5HSmmmiukdBT9hpKl1zIK26jb9qPNph9Fc0vSkzm5f2tHxQhbqZmpeL6MJZqffC0ZrHZ/rKy3C0NQ/nxg19c8HeYqv1vGZr3VYqLn9loG9HshnxnP9IPnqXJ25aofJYuqeI29fna2xUHMf2KIp1w/7QXS17W8YgNJjzlqs10nn0859h8IEYcTN1Ta3Ky2iyPw/nh7PcWo0+9DfjMX2ah2fr8yYLF8u5fDuk+UHcsBzc6XF20tNko7FB86OHkh7xUfBVoHzz/7q75LKj+xoMuAw2l7A1bl6PylxpJTm6SMFrtxaOzRZZzD7klfn6qw0uigFFyY3diV6XISRpu0F/URZO/4YhCaZFvUSa1oTRXrLJF2PmRhrkegl62wLx1I4tuovFE05dn/NT9K2Huragt704duV9ob3oHI2wXR5Y6nmoD+8vUal6W1YCzRf6/D6fJ0oMl243nW8tO/7sMcicD7/zHP6h//1r+L6IW4Qbai/DaOIVtf0yjUtzXT/yEyjQceBaxxk25Z1V/CqFOYPLK6TdWyTNU7YprOE1ndnpmHwMcwfeqRNVllr809iQvqNQbPJSINjWWTioDifcsilbPJpJx6GYf74E7ZFwjH/EL3gfpDJ6qyx1vKZKqZ55/H1ne696uk++YOf4o9863dycjRHzd3Y6m4kl4gD1Z338B3sR11pexsGbPRe53I2yWQhFXfw2PqPveH6LNa7LNY31kNnUzaj2SRtP6DSNG8GCcfi/GSe6dKDqbeNIt3veLE5qC+kHabLGaaKd79Wrh/yuWsrRBG87/TotjVZHS/k89fN7T5wdvSB9zft1UpX26ZfeN29eyS8UqYbyebR4Vu9vh0v5K2lRn8BYSZpc2Eyz2RR2o0dNssN0zkjjMyo+XcdfzB1pbW2z5VbFbSG50+WD11p1cOyXTLj1LmLvPDzn+GPv/epfQ9utNbMVDpcW24SRpojJZOEOExZ5952XltucnPFZBOnimmemS4+kmO6e9NazcK2oP/5VuuG7keprc9y74ZtK7IJm0I6QTHjUEg/+Dan3SDkzlqHO2ud/pqcpGMxXb67OcBmvSmjtqX4+gvjG/ZVddfnlZkarh+ScCzeday0r4O7HovA+alLz+mf/cxvkY0zsAnbYrXZZanhstrycH1T9tANQtIJszgqn3RIOOaIDAUJyyJhKxMIA1EU4YUaP9C4QUikNVqb8DjSEMfcOJYiHR+1pRN2/5JyFBpFpDVRRP9oMdK9I8c4eNZ6Q4nGXl5mOw6oey2I1loed9Y65FKmrVkhnSCdsPs7m61WcP/YT/9rPvpnv5PpcoZnpouEkWa12WWh7rLS7PaDKKVgLJ9iupxmPJfa1T9XFGekK22PtZZHrbOxtKOQdpgsppkopDb0Yx5Ua/ss1F0W6+6GHY9jKVpegIrPIuxXve39AsuEY3G0ZKb73S/I7U3tutdiH1gfVDOWT/LukyN72v6dGhwJX3d9Gq7Z0W/+O3UGF4ZmkyEip7sAACAASURBVP0yoZ5Ky+PNxUY/mzBRSPHUFlMqxcMxU2nz5mIDrU3XhXcc2Z+pmZsFYcRLcc/gU2NZLsh0wL7NyYylusvH/sQf5da1N/lnP/pj/K3/468/sOduuD5Xbq4RRpoLU3nma+6hyjr3LNVdXpuvE4aaXMrhuROlQ1v37IdmXkBvwFXLM59vV25pWWZhdTZp1mZl4ljCJMXMWbtecq1X+rkVHSfn/Mj0//fjjHUQRviRxg/MotFeTNRbPLr5bDCsJ0kKaYexnJkLsR8H0w3X59bqxsnChbTDybEsU4XhZil89U6Nxbq77ZRRL4h4da5Gpelh24r3nR7dNo7YqccicO4tDnSDkNWm6WXc+yNIOoqJQprjIxlOjGTMqXINHT/ql23c64/Ztk0LMwsTKFtxiUYQxQH1NgeJlgXZpMkWZ+NOH5mkTTa5dR/NnihaD6SD+I/cjyL80HweRBFeoPHDCD80/wBBaL4e/BV1g5A3F00W4cx4llJmPWBMOiab3fvHzCRtcnH97Mu31lAKvu7c+F1BjR9GLDdMEL02ULdrjhDTTJcze9qJ9SbVLTVcVpvehn/kwcmII9nklsNSKi2P+ZrLcrPb/31W2x6rLY9MwqaQdjg3kefiDgK2VjfoL36sdfwtg8ZcyqGcTZhe2Ts4iAgjzYvXV+n8/+y9SYxkWbom9J1z52uz+RTuMQ8ZlZmR81BVWfXea1iw6xXqFixYtwQSQiBEs2iJBYgdiEU3jcQGJJDoptHjAWrx3mto+tWUVZVDZeWcGfPko83Tnc45LM45914zN/MwHyPCM35lyId0Nze7du+5//n+b4gYri4XcXlxujgqSjh+dWsHjAm8e7H21COvGRepDda06HBgOirtWxSP2gFubvfBmIBpEFxfKR1rNOqLenLl7eam2R8eZX35uIP1doCSa+L9PTaLx1lRwvGoPcJmV7qFWAaBSWk6xs6PteUEkMKgBJb62qK7p3tHVRrMGNICbm710Wps49vf/DX+wX/yHx7L38vXZjfA5w870uaz6uFBa/RMoc66BmGCzx62MQwZTIPgxgGCeI6ytFB+oNDjnmqWJ/UjukyDqCmyiYItp8kFxzxUNsJRlG70e8qZqxckGEbj9ztK5VR4qbj3VHiv2uxKz2X9uEslBxfq/r7ua8MowW9uNWb2KrqEkN7gG50Avm3g/cv1I2n8T0Xj/Obb74h/+E/+EpvdAGEi7dIMSlFwDZQcEyYdP1CE5JpaRwrqqBp5jGKGQcgwVA31ZLS1LoMS+LbkCGmhoBAEMZf+grMuGkBeOOmuUgn6tPvHYRYo3UwHEcPv7zbRHMSo+BYu1H1lRSSPzay38l5zgH6Q4Hzdx2tnK5Imoi7syRFhmDBsdkI8bA/TVD8AqBVsnFWcpMO8FsZlI7zdC7HdD3dZq+W50ZMCNqb8oTc6AZqDCHHCsdWTEwhCCEquiVdXy3jzXBUFd9wnuqMizXVDOPn+EyJ5U1Uvs3Q7jPVhox/i0/ttUAr85PJsoeDt7T5ubw9Q8S28f4gEx+OqIGbpMZslDDUMIoNZLIqNboAw5rAMGc7zymr5Bfr8FOrWdh93tqVn7nEnbmm7syed68dVnVGMB81xlOsgZVCCxaKD5bKDxaJzpHSBhHF8vd5Lm/rj3shMlp6CmVROXhkXeHn1eB0KDlIJ4/jycRfbPUkBO6xV4jwVJRzDKMEgYmmTPAjZLtBAl0FJSrUsuapRdoznis/PuEA/SNAeRdjph2gPx9f1smdhqeRgtTKf/infNK9VPVxeLBxI9P71ehePWqN0Mv6k1/DR3SZ6QXJkQuRT0ThrxNkwCM6UJbpcci0IITCKJY9Ij0z6QTLTJJ6QzHGj6MoT3jYk1jyMZUOsOUmzGmNpk2LCs+iYUDBMeGobN20kMvn39UWmd6X7WZzvN+TY1TYpPri6MNZUavPwvFPHKGJoDCJ8fLcJEODlM2X1urPybSM9JkXXRMmx4FpyhzxNBWuZFGerHs7VvEM3REIIdEcyGbE1gxtdcMy0ia54Vvo3ORdoj2I0BzJo5fuNPtojyX82DYKzFQ/1og1KJAVn8jS3TaroB/JxS6515Lw6jcJVfQvvXqxNvagTxvGrWw3ECccb52dHpD8rpVFp6S2dTEWlm8MIW90AjinPrdfOlvHymfILv9YTKt0kEQLcWDvemOswYfjwdhNxwk90/M+5wFYvxIPWMLVgA4DFkoNzNQ+2SZGw8TF2oiZ8eurHOE8FWvpndBmUYKFoY6XsHrqJHkUMnz2UDhIHjTQ/bAkh8NnDDnZ6ISLGYRDZ/P3s6vGnse23hBC42xim05Jawcarq+VDuQ/FTDpZBRHDIJIA2lA1yrNANEoBz8qAuJK6R3rW4T3yn7WKEo6dfojtXjg22ScEWCzKa2oy+VfXVjfA56ppvrxUwNUDbgjz+qAPrs63AQ9iht/ekevPUVDETkXjfOnl18U//Kd/ieWSA8c0lHgvE/Glozc1dgNEagyvEeZBmGA0A43N0y60k4VlUHAhMIzYXPwl384actuUHKU8wr3X359sqIvObNrHIEzw2zsNcA68eb4698L7+cMONjojLJUdnK366QZB+kQnUxEaiSAqEYFrwrUM9ANpVN5TXFZCpKPE+bp3ZH6+k9zoaQI2HfRhGxRMCCRMpO/Xw+YQX693sdULwQVQcAwsFGSc+ErZxYW6j/N1/8CjqP1WzDh+c6uB6AlNhbYV9B0ZK/q8LcpBnPlKd1Ta2ShieNQaoaM2M0XXxCurMhimquzwXiDRR1/fb/ZwrzEEIcBrZzO3neMq7Ul+nNZzQkjXJM0p7QUyCEivyaZBsFb1cL7mH6q5CmKGzW6ArV441oxrJHql4uxb99Hoh/g8F2n+5rnqU7PTTBjH7+42MQgTbHZDrJQcvLJWfuZQZ12NfogvHncRJxwGJbi6VMT5ujfzHIuZBMEGEcMoSjCKJJKsHSxmlWEQmQlhGxmwpb5+3tbioyjGBRoDOdnd7oVp7+LZBs5WPaxW3RRdzzfNlxYLuLZ88CnKza0e7u4Mn+hINVmtQYRP7rcghFzzDgMUnIrG+eKPXhf/xf/wfyrqg7kLLd2rqHKw0Hy2hHHEiURlg4QhTDgSxnOuF9LmRX/UYxiNxJpUGsnrcc40nlD+bxfsDN32dQyzwFjjOopm0yssk6ZCAs+i+H6rjzgRuLTk4/Wz851U/TDBh7caoHQ6X4jrVEKF2PfUx6npgZSgqOgPgyDBKGGwFFVmv+T/eYtxga62vVN0gVkbmPQ1CYHtXoitXggmJNS8WpFuIURZBlY8C/WCjYWig7K7vzjx/Zb2TzUMgg+uLExtFjkX+I3iRB/3WP0kSqiNTDeIcWd7gC8fd9ELYhBCcKHupbx8zzbGUP/9Rru/qPH6dqOHB80hKJU3kOOeXjxsDfHNuvSR/+mMc/tJ1Q1idIaxQoBz1lzq8yDmaVLqZBUcE+frHlYr3pFPi2Y10ZNe87POV8YFHraGuLnVhxASCb+x9vSnLsMowe/uNLHTDxHEHJcWCs8k6qwrSji+2+ylKZdV38LLZ0rgkALyjIO8t3uFQUmq+/HVPx2g9jxRLE66gphhvRPgUWuUTha1DWvRMXBre3AkTXPMOH55U+p93r9c33fSqAafKAXeu1Q/sD/9qWicX7rxpviv/ud/ni6klEqvY8824FgUnik9jifVpYzzubhujAtpdafs7vJxpvqwGMovUYtISorOUPEs1VATcEA9DkcYM8SMy1CUCf/mvHig6OiRDxAzkSLA02gfW70Aj9sBLJPg5TNllFLKR2ZpN41H/ceHbWx1959QFyZMITsS3ekFya70QB0BO4pkmILvGKi4Fi4sFHCu5h3LDUII6QTRGUrfaP2+mFQqkU31dcE2ESQM32z00OxHCBIGIQSqvoUoGXc4sUyKhYKdpiAeB8rw2YM2tnshFksO3jo/fdOz0ZEcMcei+NnVxefSjmlWhQnDF486eNAcYRAmacM8nSttSl9p5eTx4qb25BJC4JuNHh61RqAUeP3s/BOpg9YwSvDb281dPvLz/u5GJ8BGNxjTUexVni1FwHoKVnLNEzs3gpilzzfvRetaBlbKEoEOYwXIKEeDPMJ5eamAK8fM091P7fRD/OF+C19v9LBW8fDza4vHSuc5bAkhcGdnIL19BzGGUYKlooPlkjN2TLU+Sd8bJehkwLXpi3XkkCWEQEO5eTX6IdrDCPcaQ1R9Gz++XMNrc4J5s0oLmWsFG+9ePJjDlM5QcC0D71+uHeg9PxWN81vvvCv+2f/9r9LR3KSQDJCNT8k1U2pB2bXg2Yaya+GqoRaphUvCBRgTKoVQfp2wLNUvZjJlsB8lGAYJgkSK8kaxRKmnlUlJZltnGjBV8AlTDh1RIi3whAAMKv2lTR2UQglci6LoyETAasFCzbfhWRSMS3uXD283MYxYyt17Eu2k5GZhHLoRO+xYPEp4+j5okV3CpI91axhhpx8hYjzlgl1bLuGV1dKx+xM/qTa7Ab7d6CFKuAxPqXko+xbawxiNfrRrQ2AaJG3aqqqBO+wmIIhlWE3CxMxRUj4W96WV4qmMKX7QHOL7rR44BzyL4tJSAZxjZrQ7IINw5Dktr4/TyjE8aAkh8PV6D4/bsml+81wVC8fsnyyEwEf3WugM47kDfIKYYasrnXu6owzBtUyKxaItxdjKkiu15lI+9sVcotjTrn6YYKMzwkYnnCkeAzILsmvLxWdSt3CvMcCHt5t41Bri7QtV/OsvrzztpzRWYcKw04+w0wvRGkaSr845HrelMNwxKZbLDl5bq2Cl4qL4DLhX/FDqfnOA//frLTQGEZaKDs7VPaxVPVxaKByoz2Bc4Jc3dxAnHG9fOPj6xbnAx/flulQrWHj7fG3fk5RT0Ti/99574qOPPkq/HkVMNW+ygetOcUcA5GKcR67K7sEcEkSusY45xzBM0B1JJWpnFKfCxIjJpEIuVMS2GjPKgBUjRclNSpSIbxzpniYqpIr/3A1iRAlPb1AGJYgS2eAHCUOkEI6YibEbzoPWEIMgwVrNwyur5TEet6/oI4cZz2naSupUMYzT0WaeB71W9fCjlSIuLBRQ8+2ngqTGjOPWdh8PmyMAkm97Y62MkmthGCVo9KU4sTOKp4pDfcdA1bOfGAqyVz1qj/D14y4sk+KDKwtTz0eJBLVhGgQ/v7b4zDQLR1m9IMYXj7oYhAkoBa4sFnFxwQchBGHCxkSH3WA6NccwCEqOmfpLl70fJl863zQblODN8ycTW6zRIcei+OmVhSeepw9bcoyaTvEMgqWigzMVF3XffmZpAnuVEFKPsdMPQQhRQVoGXEt+PIwjz0nVZw/a+JffboGC4N96/zxWnjLqPIqYotkFu7z/PduQKbQFOam6vT1INy4rZRdXlwvPrO/zaSrGBX7x/TYSJrBcdkAJSWk0lALnaj4uLRT2df5rmkXJNfGTKwuHen5BLJ3HwpjP5cwxWaeicX7tzbfFX/yLX2RpegaBberPpQdnJkxK9kSmPVvGC5c96UFbmghyOExNJgYNI0lzSFgWhMKFTDsEMBGoIkWNo4irZkGKqwZBglGc4L5q9s5WJdpsGyqUJY3VlIs1AaQtXcLRGoT4fquPhAucrbqghKZx5fq4WQaBZ0mOl26odXPt2+ZYiqJGfp50gwsThs4wxqP2CN9t9PCoM0opMwXHwJmKi/M1H4tFB/WijdIJc1pbgwhfrXcxihgIAS4vFnBpoTD2uvL2azocZJL2o1Hp6oxQkFn18b0mWoO9UbqP77XQGkS4tOjj2vLpDJFgXODmVh8PmjItrFawcWNtt22dds/J04Zm+ag6Fk2jw6u+/Pg8NmT7qW82unjYlEjzW+drJ9I0d4MYv78j0wHnQYf0TRGQvq5nKod3qXhRR1OcC/wfnz3Gza0+Vqsu/u33L5z4+6JpO1u9cIwGQylQ820sl10sFOxda0PCOO42hrjfHIDzgzdtL2p/td4Z4ctHXZQ9Cz++LO1T+2GCO9uD1GrRMAiuLBZwvubPtQb/5lYDgzDZN+VrVnWGMT6+3wTn2DNHYVqdisZZ29HNqrwAUBvcW4Z0tYgUZ1lzjwnBLt9nnZyjb7hFd3/2cE8q3dRr83EtCJxWeiStm1fboPjsYRvr7RE820DVtzGImIr4Vg25Si7kQsAyaIp23G8O5Y6r5qLqWVLIGGv+neRhRxPBKvkyKIFnU3iWqQQVkk9uGLKR1oiKjiu3FdqigwT0vzBi+G6rj+82+2gPIwwjBteiWC5JYY1jGVgo2FgoygCUk+ChJYzjZg59LrkmbpytzEwe0nHiqZfxKNrVuBEClFTDVvVkMMi01zKMEnx4WzqjzBIBdkayMZkl6DxNtdMP8dXjLqKEwzQkf38erqXm4Oc3OJOTJ0qhmujMyvA0Ifg6dfKk6BmAvBY+vNPAMGQzU73ylW+an7WkuhclqxfE+B9/fRdBzPFn1xfx48uHQ/zmqSjh2OxKzviYe4lBsFiQPtoLBXsuMCKIGW5t97Helk2baRBc3kfT9qL2VxrYmeYB3gti3Nzqo9GPAEgHrJdWSnvqLTrDGL+/24RlUvzptaML5NHe8gDw6lp57jCuU9E4v/HWO+LP//pvZABIIq3m4ty/ec3uBSQ1YhRLqzrdOOapDRalsEwZ5FDzbeW6IIMwjgqZBmbEdQbJLrpGL4hxa3sA16L48eU6qr4N16KgIBBERoZrH8pBzlauM4pxZ2cA0yB463wVVd9GyZXUDEc1vzGTx0A7hGinD42Yx4o+wnJph0wI2IZsoh0ziyF3jL15ZYTIZMbOMMJmN5SIYcKQMKDimqgVZFogJQRV38JiycFy0UG1YME2ZIN+HChIcxDhq8ddBDHbRRl4Us0TCuLbRsqV1lHwlJKUskEI8Ma56SIuLeo8yKjpeaswYfhmvZcGHqyUXby8WtpXk6tdPPJJkHn0Chj3BNdOHs/rpkTbNlEqz6HFE2ia5d+V/tC+Y+Anlxf2vC615zzwoml+1uuju0384vsdVH0Lf3Z96cA+vHtVPrxqpx+Oie/1JOIwtJ1eEOP7rT6aqmlzLQMXF3ysVY/eceWHWqOI4Vc3d0Ap8KcvLc1co3f6Ib7b7KXC33rRxvWV0lRwSgv6jsKDebL0xp0QaeE7zzp5KhrnSY7zZGkBYKIcNWRjLcV9+l+a2c74GF9SCIGhCgmRXo/T0/cMSuA7iubhWqh4JiqeDcfK0Uc0lURRKSyD7IuCkAa6BNKDsh/E+P3dFtrDCCsVFytTxCV570nflgmAgnP87m4LO/0Q9YLctU/7vZISWxWcjJ6RvwiCiXAZ7cvLFNdbR4EnSlBpEAKDUtgmgaWpNJRCQIxtbrgQaA9jbPUCBLHc/IQJV/QbAhl6nh33smei6MhjXnQsWAZJj7H29E7jclNPb7kB0l/v9T4kjOO7zT4etyX6XPUt3Fir7NsLNmFcodGyke6O4l0bIYOSdLrRGERo9EP4tol3LtZ2We8MQolMA8BPr5x8EtvTKE3vYVzAsSheXS0fCkWNGUd7GKMzitBSm5vJjbZjUcldV5ubknO4hM+TqHy4yevnTi4wJ0/ReP9SHRV/tuj3XmOA7zdleMWzmE73osZrECb4yy82cLc5wKurZbx1vnYkLhtCyJTYDaV90fdfQoB6wcZqxcNS6WhpO42+pCnqjbNtUlyo+zh7TE5PP6TSaaTzCII5F3jUHuHWdh8Jk3qvszUPV5eK6fuQMI5fKAu6eQNP9lsaZDAowbuXak+0qftBNM77Lc4zd404GW8CIxVp3R7FaA2iVJw0itmuG24q+rMpfMuEa0uv5TwVxDKzplrzsjVHWX+c1Wg/bo/w1eMubJPg7Qs1jGKGYcgweELaUWsYYaMToOJZ+Pk1LUAjY/Zys7wu81SRonIoyYvgGBc5ZDpBP2QY7hHuAiCNHvcsCtcyU2oHEzL1615jgLaylhMCcC1Jt+kMYwwjhkS9V1zI51d2LfUcDRj0yYsgIZANdG5zkw/RsSiFYRD0RjFu7wyQcA7bMPDqagkXDuFqwblAP5K2eZpKMJlqeb85QHeUoOSZeP9SHcslF2Uvc4zQ0aP7NYN/nmsYJfjqcRdtNb49X/dxbbl4JDdW7QneTicF0VR6R9GR+gcpKjafKW9pHc9OCPD62QqWjzncRBfnAr+7Kx1fnkTRuLszwE2V+HYaPMl/KPXp/Ra+We+BCSmqevfC3pujvaozkkLxjU4wdr8puSZWKx5WKs6x0vKEENjuh7izPUiF6qZBcK7m40Ldf8GBPkAJIfCrmw0EMcM7F+fXU0QJx+2dPh61RhDqPv7ymTKWSk7a51R9C+9dqh/b8/7ycRcbnQC2SfH+pfqewNipaJxffeMt8X/9P7/EQsFB2Xs6N7AwZmipG21rIDmuvVE8YWOXIa+6YZZOGvOFtugGzzYlSvrNRhdCSG7O+Zqfcootg6S0kTCRaLlO1NJcoSDmuFD3x05s26QqTttMFw3Gp1M98qVR0pISVU4200AWoqJpHk8KdyFECjU10s2YXOSGYQJCCAyDKAGhjV6QoDmIsNMPEcYyMjdhkjZSUFOAkiu5qwnnmQOK2gg9KSwlXwnjeNgepU1bxTNxeakI35JovvaLzntHa6RbN+R6AjEN7Y4SLsMetOhwFOObzR56owSOSXFtpQiLUlAqN2UEwLebPRiE4N2LNSyVHZiUSm9wipRmRIj8nAuJ7nMtRs1RbWIdPawsnfSmkXGhOPMYE7Fy9cbpZ0+InAXol2OQzDdb+5VrGzH9M/lLlUA/T/mVQeXj6Z/XIUWWCiB61A5wvzkEJcrSa6mIxZKjuP0yPl1z+/Vzz74nv+YC6XHQ35dTAPnahJBi2q4SHPaCGGHCQUFA9PElgGFQVFwL9aKNum+hVnAO5Kpy2NIo7knEaE+Wbtg928BPr8ymaGi3DeBF0/y8VXMQ4ZN7LWx0A6yUHDiWgR9frs9NZ+oFMbZ6ITY7wRhI4NsGVioyMOZpTM4a/RB3GwO0BnJdNyjB2ZqHC3X/uaVqPY1q9EN8er8Nzzbws6v7T7fthwm+Wc9AkTMVF/0gRj88/tAvzgX+8LCNZj+Cbxt471J95ubpVDTOeXGgYRDUc9zjp2k9w7hAX7lfaK5yPt1K29gxLkcUruIXOyaBberQE0lTiBI+hnxt9gKstwNFrC+O0RcA5Jq1zGHEMSmagwj3GwNYFsXraxVELIupndZAEpKPGzdUM0MQM8l97o6SqT6l2mS+qIJgCo78fBJB4FxSYfIc6r0a6mEsm/+IcbiWgYJt4OpyES8tF2Eb0pavMYjQHEToTlgVORbFYtGRIkM/E5XoCUPMBOJEceOVj3c6eWA89QiNmcBWVy60UcJhUoLzdX/fKUa6zFwTrYWrml5iGhRxzPDJgxbawwSWIRd0IZA23eudETa7IYqugWtLp9NhY1YNowQPmiOM1DlYck2crXrHerNjXEjqVpwFEU16txtUXndVxZOuF2wslaTy37ONY3l+mhcPADfOlrFaObmGtB8m+N0dKWjdC2nSCZnA/sQ4L+rZqQ9vN+TaCrk59m0D71yszTyne0GMzW6Ire54s2ybVKYrVtwDr51HXe1hhLuNIXaUloJS4GzVx8WFFw30PPXFow42OgGuLBVw5YAceCEEHjQlfWMQJbi11cfFxQL+9uurR6ojm1YJ4/joXgv9IEHFt/DW+epU6s6paJzfeudd8b/883+JZj/aNer2bCN1Y8g3S0+rtK9xP8hs8XrB3j7T2mO66EgEqx/GchwSMVw/U4JnG6kThgxR2U0bASTS9vV6FzETuLzop5HGkgoiXUZ0YyiFgRKdnYaO6mjtomPCtSTVQ6PKs5ppYBzV1ule01L48jHfspmWzbV2G+mHCba6AbrpiA1Yq3i4vFhErWDBtyVqHiYsDTHJjwMpBSqejcWijcWicyCUI4hl0t12PwTjAktFB5cWpXCQTZk0JEwKVzXarZvxeSrmHDc3+wgTjrJn4mLdR6JQ4IRzfLveQ8IFztd9lD0TBiEAAShUKqVCcvPIt5Gi0UQ17dn7bI1RVuTPSLQYafy8BhQFkG5QBLLExVQ0ynLothKRIvc7+ZqGEmt0Oz2WjI/5picJR3MYYbMj49MpkeLBtaqXot0EMlCIEomMU4WOawRco/P6dU1DSvQamH8+WeSzpDm1h3LaNAiksHiyTLWhLHkWFgo2looOSp5ypVFCWu8A3ulbvQCfP+xAiJMX2Qkh8Pu7LXRHMc4qP/hplQ/4ub5SwoWFF5zm57G01ZjW7/SDBK5l4O0LVRQcE0IIdEcJtvsBtrrh2D3ZMimWSzLNr16wnxl602T1ghi3twepGPlFA/3kihnHL77fBufAn7x0eKenYSQ59be2B1go2Hj/ch0/OrM/QfhBKogZPrrbQhAz2CbF9ZXSrsndqWic8xznIGZoDCK0BhEag2jMq1k3S9ra7Gmn1eVrMrSlN8Nn2rUMNAYheqMEq1UXP75cnxqjrUfuEeMqCEWGe9za6sM2ZVKVFkTu9dZyJUjUUbGJGtsLgbShzlMPqr6FWsGGZxogaZALxyBM0JuBahuUpJZ/RUf6ZxccY+omJ2E8dfkYhAk2usH4AqcEJcslNx2zSMqHbM5jJhDECYJ4/HXrDdZCQS7o8/JlhRB42BqlSXe+beDG2crcCIrQFAm1YUmbQi7R7+z7Av0wxuePughjhqpvYzV3Meu4dc82cH3KBGKyKAUMSmFpSokhhZuaWqLRb0krImoSIqcWT3vzOauiRJ7jj1pSxGmbFC+tFHGm7J74DVq74jT6IZpDSSPa6UcYhPLcy4tCXYvCt1XokC03oq6dNdFFR/qoF53paYitQYRPH7TAuYxtPg63g71K00Ncy8BPr9Rnnh+f3m+h0Y9QL9p458LB4nJf1NMvzgV+dWsHYczx2tmyileOECQMI3GxWgAAIABJREFUqxUXgXKl0mWbFEslBytlFzXfemab5WnVC6T71FY3a6APk353mku7UxwmDjtfXIWoPG4Hcu2zjSMRhM9TwyjBl4+7qQ1irWDhR2fKqePHqWuc8yWEQFfdvBr7GN0/KzWKdGhLnIa3DKJkzPPUVdQHXyX9FR0jRXLzN9mYcfzq5g4SJsZGqUJkzbVOGtSodaSs/UIVI55fDBPOMYo5RpEU/g2jrAnXyKZGMAuOtFyr+zY8y4BtSLFdEHP0gtnotG/L16KR7ZJrzlys2sMI36x38aA1UhsCAd82UPFMWMb032FCIFSpjAYhcJXXtGGQdIM1bwBLP0zwxaMO+oFMuru6VMSF+ny2dfupzjDGJ/dbYFzg4oKPiwuF1Dbw18og/spyATXfSRHtmHPVhGfx8oe5nA0jS0CzNa87zz/OheLoDdU8wThHVd0gxrcbvXTRK7kmri0XT8TD+Emlr+lGP8RmN0RjICOZ40QgZDy1ePSUC46vHHE0ykIp4FmSNuXbEt37brMHSgkuLRRmor3HVYMwwW8VReOtC7OtnB62hvhmvQfTIPjplYUXTcdzXnd3BvjycUfZxLn4+F4T3VECg8pQi4Wig6WS/Pe8NcvTajK8gxBgteLh0qL/IolQ1e/uNNEdxXjt7NFoK7THcsEx8eb5yrEJwmeVEALrnQDfb/URJzLj43zdx5XFAizTOL2N82TFjKcismmj+6pvY7HgYLH0dLnRs2oYJvj1rQaagwgV38KZsivpCzMcKwyDoKxEe41+iJ1+iNWKd2BlKue6kZb2fWEaHiNFdqNIJgJqlxEdKjMtKlxzp6WFnJmKHoWAauQZDDJOFQDkqE830RqhziPu/TDB3R25wAkhqQMVz8JC0QbnQFdZ5+XRfAEpgJRJjNKlQ8efe5Zs+lfKrqT7TEmnyh+f73NJd/WijVdXdyfdHba2eyH++LC9ayyv1cfzRBwzRR/J6A+5r3MUE8ZFateo3+95fdEny9ABRDku91hKJc3eb0P9TF5cuZ9FUi96t7b7aRBNvWjj2nLxiVZDJ1mcC/TCBN2ct/QwStINbJDIaY+AkNeDonp4toGYcdzc6iNmAlXPwpXlgrKeNOFYNNvc5EKIjhIcEELg43sttIcxVqsubqxNt54aRgl+e7sJxsWRpX69qJMvxgVawwiNfoTNboCP78kN/I/OFOGaBhqDCIwL1HwbP75SPzHf8JOsyfsLUbSwS4uFmeFYP4Tqhwk+vNWAaRD86UtLR9LQ6gmVpnUJIXCvMcSt7T6EkH77r50tHztzQE/r844ff3Z9+YfTOOdLCHnDavRlI51PJgLkm7JcljvmZ+FGO4wSfHKvjSBmKHsW3r6Qkda1wG6o6BA6dlg3DEHM8N1mD1wAPzpTxGLRRcmVbhUFx0DJsfbtSbxXMS5ko6U8r7tBguZQHuP2KEZ3KMWSU/ppmUZo0TTsRDe/mstLMMnDJSpG2UbNt1D2pBUdpcB6O8R6ZzR1gQsUSq4DXQZRgmEom/2ESyS8HyTohjHiRMA2aNpIV30LZyouViseFku7kwy3eyG+Wu8iTjgsU46W9kpFOkjlhWBvnJOWY0IIfHSvhc4wxrm6h5fPHA/6GDP5voYJH2+4VaOdiSg5okR7ec8fRDSrKAVsw0gFr2O2jZNWjgrhZlzgQXOIu41ByidfKbu4ulx4JjfHgIqkV44q8mMWfMS49JofhQz3mkNwLlD2LFxZKuxKPJ1WhkHgmoakg+Q41a6VHbt5m2s9mrVNig+uTt+o5c/JeXxdX9SzVb0gRmsQY2cQoj2Mxq7hjU6AIGa4ulLAz64uwjYovl7v4XFbxrvfWDu9m6RhlODuzjC9vwAyKv7SYuGZETqeZOmE0r00DvupIJYhKoQAf3JtaczdohvE+OJRB8OQHet0d7Lyk8x/48aZH2bjPFlRkqHRO/1wTLTl2YYcOxUdVJ/C2GkQJvjkfgthzFFVSs95bm5aGPfrmzvY6UcoOMbMIATTINJOLmcrN41PeVSl0Yum4qO3VAjFKGKq8coEdVqg6FiyaQIAoSzVJAoqV/O8+M02KDxHum6EMUPIpDVdwTawWvFxeWk6QqB9qLX1WC9IsNMLlV+35FXnEXTHpKj4FpbLDtbKHtZqHqqehYQLfLXeTROqLiz4uLZUPFK6grb1ohR4+3wNtYKNXhDjd3MGUJx05Xn3iaKM5N1LdMOt33OWFwIeoPHWvtzyWhHY7slrm0BSS87WPFxelA20OQXhflZKCHlO6ia6OYjwx4dtDCMG3zZwdamY2h/qaHvtdR4nIgt3SqZPfyYr/zj6n7YW1ILSmHH84YGcerx+roLViptOBfITIm1RN88U5EU9/QpihqZyJWoOol1+/iXXxELRwWLRhkkJPrzd3JUQp5soQoDrK6c7DTKIGe41hnjUHqbr02LJweUfUAPNucAvbu4gTjjev1w/ktet722z8gkYF/h+q4eHTalnqRVkKNlxU8CEEHjcCXCu5r9onCeLq6ZuqxdiuxeOLR6WSbGk+Fv7EZEdtHpBjE/vtxElHLWChTfPzdc06/pmo4uHzRF8W/ptSleOzPZNJ/9NCzzRVI+CokNoT+XjNIYPE5WMGCq/5yhDz1POLsv4utohQaOeQkhUbjRBEdGpfcOIpWKss3UP15dLuFD34dvKClCNuPMbBh3VLFFoZa3UC7DdDzEI2djfIQQo2AYWiw7OlF1wIbDdjySfvuDgzfPVI0X39ftrGtLHueRaaWpcwTHxk8v1Zz7lbt7StJGUk684wfmvM67+dNFrxDg2OiO0hlLvYFCCxaKNpZIzhthOC8WRiDZJke38Ju24It8nSwiBTx+0saVGxZcXCxjGDN3RbmceSoGSq+Lc1T+DEgQxywS/ik6lKSGzHHkm687OAJ1RjIpn4fLi7hAg0yCpWNMgBK+drWCx5KSBTo5JUxeRF1HHT6e0w1NnFKtpYJTGH+tyLIqab6fOVJPTtU/ut9DMjdN15b26z6l19rSsQ9MqTBjuN4Z42Bql94MfSgOd5yJ/cHXh0I8nhMCvbzUwitieuglATne/Xu9KW1iD4MZa5cinu9PqVIsDj6KEEOiMYmyrJjpvrWNQggV1010sOkeOpnSDGJ/cayFhAvWijTfPVfd1k9GeqZQC712q70k50XZaGmXt5qgekyV5xgYKjgnfkop/X9EYjguhHk0Ep/RVMuFYVLdqpjmkkhuCK4GjwDBKJL85iNEZSgqGPqV9m2K55GKx6ChRluReu5YBx8rcJOwJzqhJCEYxw2YvwOP2CBudADv9CEHMUhqKQQlsg6A5jGEbBBXfxo3VMs7X/dRJ5DC7ZCEEPn/UwVY3hGPJxCPLoPjt7QaGEcPV5eLUxua0l3YryQsk85uu7kiq5XeUlSAlJBUycWBfoTi6KFXNNs0F3OScZ0xKcg139v39XNM6KdIyKX6cS7fSm7u2aoI6oxiDMNn1+65loOyZaSNdcq1dfz/ObUD0ZkRbC3IusNMP8c16DyDAjbWy2rhm9oCMSYu+bzd7CGOOpZKzZ3CBbWY0qMxhRK4rLxDqoytJm8tRgILdLkeGQWSjXLBRK9hP5O3qe4zvGPjZ1cWx/7feGeHr9S44B2oFG2+cq5z69zNKOO43B3jQ/OE00H940MZOLzwyi0kdsuNaBn5+7ckhKmHC8PV6L/XevrRYwNWlwrEyA05F43z9tTfFP/5f/yodtWpPWh23nH/u+rO8h6seL+pRpE4qS31fkXm7jqIkHWP1wmTMF1baoDlYLjvwLHOmH+w81RnF+PS+bJoXSw7eOFvZ1479KDxTp6G/s4JSgCztL7XWcjKLreNAqXWzoGkV3SCZirwBmRuBbcgx8yBK8LA5wsPWCP0wQcIFDCK9qV2TglAC1zLg50SC0/ymdRy6Rqptg2KUMLQHUkTTV/ZjgzDBo/YIIWPwLANrVQ9XFgvwLHMXTWaWt/Ws4lzg0wcttAYxfMfAexfr6IcJPrnXAqXAT68sPLN83qdd7WGEm1v9VK3tWgauLBWwUnIQ54JvdMqkbsbziLeknxxCNEnzKDYZ425rEaVtUKx3AtzZGcA26Fw0nJjxsfjwzijede0SAhQdExXfUgmb5lR7S10J4/jN7QbCmM/0i9bxtfd2BrAtA2+crahkSp4GOoUJRxAxBE8Qmzq6kXaMdOpVdM1T34AdtoZRpnV5kr1pxbPSzVTZtfZ1n+Fc4Jc3dxAlHO9elHSxfHWGMT57KCemvm3gzfPVp5IMeNI1q4G+ulR4pmxwD1thwvDL73cASO/mo4hI1yEq+7HWnBQO1go2XjtbPrbI9lPROF/40evi7//jP095fvl/upGWn9PUNosewW4kH4/cD5MUwZTjehNVX6I6rmUot4AsDU6L2yZDJQgBNrsySlgIKTh4ba0MU4nldJRyPrxisvJq98WSg7fO7+YIHaaCWDarw1Cmpw1CmZ42y1YOkKPbgmOmFluulY1qJ6kRR/H8Uvs+hVJPBuPoEhDoBwxb/RGSRIoQpd+3hYJlggNZWAkXEkGkGaroWjTdoE0rbQUXJhzDiGGjM8J2LwQTgEUJlisOKq6FomOpY2OkYSNawKldRArO7IYhZhwf3W1hECapT65egI7KV/M0104/xM2tPvoqUMe3DZyr+VitunM3aTphcswGMI0xz5ruyc/nabg7CiEHgEsLPhaKzsw1ZZxeQtLNnUGAkIl0NN8NJCo9ubRTKtcvvYkrqQ2dQQm+3ejhQXOIim/hvYu1qddtaxDh43stEAK8f3nvSZf2edf0EZ3EOG2ilC/HonJio+hj2mHnebc9m6fy7kape1Gi12BJu5kGbpgGScO0dKN8FI2FpobNEn8GMcMfHrTRDxKYBsHrZyvPhDXkSVSUcNxrDMYoHKtVF1eXiqfCklF7uC+VJA3xsJUPUfn5tcV90xpbgwifP+ogSjgci+L1sxVU/ekppoepU9E4X3/tTfGP/slfIlGjRJ2oxjkHckEQek0lkEiwtsMyCIFhyMbVzDXYurHNOztwIbI0M56lm0WMoz2M0BzGqV+0/Fmg4BioejaqvrXnTbgXxHjUDtIGtFawcKG2t1rUoOOiHdMg2OoG2OyE8ByKdy/U4TtGKpKS6Fa2kThKfiHjkhKR3fhY6lix1+ibEMAxDXg2VR/HU9Qc8/AewFr0pxvpnvqo6ShcCLQGktceJjw9lsslGwsFF5SSXeeTjkzPYs2NdCPEhUR9JtHvIGHY7ga4uT1AL4gBIQNbHMuQHG0ImFQ6H5Q9EyXPRtE2YRlyk+RahvK1NuApZN9T/OwgZvjtnSbihOOVtTKWig5+c7uBOOEv4o3nKCFEGqijEyoNSrBadXG+5h8bUpaKJjU1IsfdjhlHexjjy0cdhIxjpeRioWgf2IebUqhmWzbVlABhIkOO4kTaQMZM7EqN1EvQ/cYQvmPgT64tYrXi7bouGRf48LbkJx4mdheQ70cQ89TxRlO0JgW6uvRmM98cPk+TFs5FavmoNxPaPz/7yOZKG7VNmm54yp4MlTquRi2IJepI6W4HBF0J4/jycRfbvfAHIRqcrDBhuLszxMOWBMQoBc7XfFxaLDzX0xPt3fzG+cpM44H91P3GEN9t9g4VkqQTfdvDGIQALy0ffUrpqWic3333PfH//eo3GbrDRXozyhCezBprlnBoWlEKuKlozFBNJ4WhUF+TUhCSedQCmV/0dk/6RSdcRwRzeKl3sQUCgphz9MMYD5ojtAYRmJCUgeWSg6JrpfHDOtqXc6Sxxfp7QiBt7ocRw+O2VJquVT14UxZL/bOAbFoJITB1pHIesc8142Y+VU578BJ5U9XPMd1g5FAi+fhIG4MwYel7oS3L4kTIn0N2g85/rYVajuKH6o927msjd4PXGyMy8TiTj2uoZniUE0mNogRbvRBbPRlMoY9P3Zfx3BIRBgCSbpr05kP/fQr5fMueBVfF0kqPYoqYS6RIB9k8bo8wCFnKddabJq5sx+JEckv1MZBIoETu86I1z6EouzaGUYJHrRGKrol/7foShjHDl4+6sEyKD64sHKuw87SUEALb/TC9JnXVizbO13wsFk8uKjiIGX5/t4kw5mNeydptZJLDnca6c3nuRLn1b150m3EurwWFAmue8+P2SFLHijbOVDxYBkHZlUmh9YL0wNd8/7Jn4ceXjkeYKlSaqRY2D0KZujptqqRpUEUno3sct8B5WummWDfDGiXWAs3JgKm9ihCkeovUVtA04No0BRtOuhnTnrsvrRRxcWG6pkIIgVvbA9zVk5PFAq4tn2zK5dOuYZTg1lYWpGIaBJcXCzhf85878WSYMPziO7lh+lvXlw8NwnEuRYFBzA7diHMucGu7j3sNmamwVHLw6lr5yK6LI2ucCSH/jhDifzqSZ7XPev2td8Rf/PXfQACqIdZIMMYaOpH7XtZMywY7TBgiJtRYPVvIdJMtH1tM9R7WpZsbW41HLYXoSq4wwyhhMPQPAvBsioTJxDAK2ZQulx0sF525bsyySRXgkPZsYcLw3ZYU5NQKUuCR+epm4p5U6CPEgXmZujRthFICixJQtanQqL1suDFGk5n0mx1LL2QCUcJyqJuYa6NjmQSOaqYdlU6oucfz+NtOVpRwNAYhHrVlnKwer8s0wgy9EUKixFQh0YLI9yLjyGfNv6EQ44JKePRtE/0wwVY3ABMCJcfCalWG2nRGmVAzTDi4ECDQwSXyYBhUbg4okZsbz5LCxZ1ehFHMUPFNXF8po9GXoonLiwX89EodRWd/PMYfcvWCGA9bUvipUU7HoliteFiruseKaCaM46N7LfSDBLWChbfP145k8pK60iR8jE6SIpu5zzUvdqM7wr2dITgEVite6sqRr1AJZV3LwKurZZypuKh4tuRq52gkmQd7RiWxcpSTg5amznVHmd5hVjOqBc4SDMklXObEm3rzDYxvuPU9ZNd6ypHjcI+jxdP4xZOlG2JNX3PVOuZYGeddgzfPGiVFOyv4toGfXVvc82fXOzKoSQjg4oKPl1ZKJ/Qsn53qjGLc3OqnG3PXMnD9TPFIUNuTqvXOCF8+6mKhaOPtA6LD0x7Pdwx8cOXJosB5aqsX4MvHXTAm4FgUN9YqaWryYeooG+e/BPANgP9ICDGb7HoMdf21N8V/+0//6lgem3GJYGsRUMJ52nAKIIcIA4ypxXHi/c4WXIkIa7REXzQmpThb8/DqWgmX6gUUXBOeZeaQzMnH04LEjBtNKfDV4y52eiHKvoW3z1fHbrI6BETfCvRjaroBFwJxkvnoxrkUuUjHNav/FzHltcy45ASn6K5CXNWDy6ZSPwGA51Du/Lg4dR+gmcuAlbvZQvMg1Q0p0vZZiURvg4RB8AxFz290ANnA6hQ1z1KNdU6ApX+WcYyh+Pq9HUQMG+0RNroBgljGW0vOtgFCKLhqqPT5IITkNkOI9Hir/dzUxidiHJ1hDFONmq+vFFFyM7/wMJFBLV3VTHdDaR+YJfxlzgeUABxAcxBCCKmQ9yyKbdU8L5YclB058Sh5GQ+/XrBRcW0UXXOM2qM1AlRtjn6oFTOJuD5sjVIaBwBUfQtrVQ/LJefIU/n+8KCNRj+Cbxt4/3L9qYx0uXIg+fXtBqKE4+XVEsquhYQJBHGC1jCW/5S39CBiKLtmyiskRDYFvm2kThmOSUEmF0lV2pkkH2wjRbdGLugmE1A+6eaq9RiDlObxZOrYcZSmozkWTQNonNzHaTaYz1MJIUWCYczxzsXaE5uTrW6ALx53wLmMMf7RmR9e8wzs1lYsFG386EzpuaAYff6wg81uMFMkvN/68HYD/SDBK2vlPV149lujiOGLx5005O7Soo8ri4fLVDjKxpkC+C8BfADg7wghtg/8rPZZr7/1jvjzv/qb1MVickRPafY93eSBTDR8+d+huiFF5rChG9Q9nDI4FwhUBLWOoh7nqckggvZQCn36QQLGOVzFUQVkiEfRNVH1bNQVNcAxNQJB08/zyWmmQVNbIMMg+OnlhSP1Ct6rtFBFU1GinAuBRl8mnQj2e9OadB3I0zUkWkVAQMCEfB46FVBvUp7095ycUDHvoOHl3hdANrAPmkM8aI3Sxyy5Js5UXDgmxSDSLiSS360nArKhlpswpoJbAGl5xhTVI0wY7jdHCGIGSoC1qo/lkrLHU8/NNEiKGAYxS5uAfih55dpTOuEc3SCRIkTGUSvaGAYJ2iO5cFQLNmw1HciXPrauZUj3AsdA0bFgKe9ii1I4FoFtGlPpPJRkvHk9XdD/P+9ck3ewyT/O89CYCyHQHsZ41FYizxz6v1x2sFrxUDuCkKS87dz7l2pP9Uaqx/B7Jf99v9nDvcYQBiW4vlJEcxChMYjQC+J0g6eRWQDpteaqdUwI6XYzT0BLvsxcEz3La3uXOJwQREw63URsOqUlZtmkUv0HAOnka1Kgrc9h01Cb9Bxa7MzZ5D/vdWu7jzvbA6yUXbx+7skJkdu9EJ8/aoNz4GzNw8tnSqf+GE0rIQQetka4td1HwgQoBS7UC7i8WHhmPc6FEPhX320jYQI/u3Z416adfog/3G/DsSh+fnXxyO8FQgjc2Rngzs4AQsj79uvnKgd+3kfOcSaE/JuQDfR/DeAPAL4QQgwP9OzmrOP0cT7qut8YqDhmgVrBwsWFAoKYYb0zwkY3RHMQpSNUCKRo4F6KcS4knwcCuLJcxLmat8s7Vn90nwL/bdfzVc32ZGBFOtbMUWj2a/NFKXIbDSUsJERj0SmKHmieYcz2pIEYBoFvSVqFp5ppgwDNYYTNTtY4FRwTlxZ9rJTcNOo5HzDTDyXtYlLYIxF/GeQiBHC/OURHiRpWqy5Wym6KztkmVdZR2oN33GUj1lHNyn7q0/stbHYD+I6JCzUft3cG6AURDCpDDYZxgjiWXOogZmBCNvMCcqqhG3w5Tjdg02zzYuamBXauSZEBF/L7+3Wu0bxzfd7qv6GdI6a55ow133TcXvK4b8IJ49jshVhvj1I7O0C+TytlF2fK7oGSG/OJkO9cqB2LKnze2ugE+OJRB6ZB8MHVhakuDJ1RjI/uNgFIv/i8Xy3jAr0gs8PrjKb7wxddMz2nPRWKou3/Uk/pRAa0REmWPnkYkaRB8xSIca/2PIUkL5J8UbMrH5P882vzWZM1+iE+eyib59Wqi1dXyz/Y4xwmDDe3+lhvS/6zaxm4vlLE8jMYW94eRvjobmsuas489fG9JlqDeE+O/FFUexjhy8ddjCImN/lnSgdCt4+0cSaE/G0A/x6AcwB+DeBVADcAtIQQ1/b97Oas56FxFkLg+60+7iuy+izFeZgwbHVDbHYDGf2taCKEkNRv06R0rOm82xigoSK1ry0XZ45BdRmUpGLHPIqtOcm25iIq+sTTRgI1kq2Rocw/N+NkhvH8inM9NtUbCgHlkALZVHMVBR0nDFDc82nFuUA3TNAahAAk0lTyTFxdKuLKYgGFKZsdHTSjG+pJUZMQAls9ya0WECg7NtaqDkAUlcUkY++vbxtjyvmSa6aUgSBm+M2tHQxChgsLPkxK8HtlWbdQtLFQcMb+bphIQZhu9INYIviUAFDTGL0OeHZmJagRPymYlKiiECJnn0iyzw2kn2vkGUCa+niUpZsjS28ec57IelqR+b5nzflBzvlBmGC9E2CzG4xROTzbwErZxUrZmcu/VfP8AOCNc5WnetMcRQwf3mmAMTFzfMq5wG/vNDEIk7n5qoFKOtT+0r0g3rU5NgyCkiMdMkquPLcnvc2168YoZuk0T0/2wkRev0GSn4CJ1B6SKxrZrPvaru8KKFE4GaOX2Tn3Jb1xzDsyZSWnlZObPpo7//IWpc9r6TCMa8tFXJozeKk5iPDZgzYYFzhTcXFj7YfbPAOyuftmo5fSN+pFG9dXSk8MoznJ0haEFxZ8XD8kR70zjPH7u00YBsGfXFs8dmAvZhzfbvSw0ZEblKWSg1dWy/sSDB8lVeMOgK8A/DdCiL+e+H/nhBAP535W+6xnvXFmXOCLRx1s90JQCryyWsZq5cm7nFGkkOhOMNZcFV0TZ8oSjQxiht/daYILjjfOVWGZdIZ3rEgFK/ulSuTTz6aJaFJ0WzUl+kbwNCrJBSyEOdpMGi88p1AnfTzlTsCRiSkpVVxxIpSnM0F7GGO7HyJQaJqpRvfn634qJtTK9/yGRT9nGeIiExt7QYL19gj3GkMkXMA2KC4t+jAIQch41ugLkT5WXgDp20ZqyTWIEtxvDOFYFD+9soBBmODT+20QIhsz2zQwipi0EVQI/CjiqbtHzDhGivIyiqVXbJhwCEixIoHik6vXbJsGHJPANozUyWAvn2tANkmOSeEYFIYS1xpKVGoZsolNFK0lHflzkQol+eT3hTg0h1U33dmYP2tuzBzSrq+BPC1gEDFsdmUTnUdXHYtioeCk8cWTN4hGP8QfHrQhBI6MN3jQ4lzgo3stdEcxlssO3jg33aNV30B928BPriykTZ+mFHGloWBaoKyoRJwj1YtESYZKd0cxeqEUxCJtbrNG1k15wjSdoB3Ek5+r8yRh2t0nE01qx5LJ82y/NZYjoECISZeivGBaHzuaE1PnzzNbXVeWScY44M8SDWS7F+KzB214toGfXZ1f4NUeRvj0QRuMCSyXHby2tr/Ar9NWk/QNQoBzNR9Xlp4N+zrNR377QvXQntx/fNjGVjfEpUUf15ZPjuu+0Qnw9YYUDtomxSur5bnjuo+ycX5ZCPHNfE/5aOtZbpzDhOGzBx10RzFMg+DNc9Vd6UrzVGcYY70rm2iNqgoh8KA1gmcZeOtCFa+slud6LI3U5q2R8glpk7Z+B0ECJ/1irYkmIx9d7Sg08KRKW0Ol6W8sRxfJ0UT092fxLgVkrDNTvDQuBFrDGJvdAP1ABkvoWPaVsoOCbY2hrHmrQ9vIBEKOKfnM/SDG5486aA1iBAnDQlGGpaSvQwiEMZd+0UJzMUXqha1FWLd3+ojCga0sAAAgAElEQVQSjrWqh/cu1rHTD7Ddi+A7Bn5yebpFnebr66Y5bahVmmRnFKehN/r/5w+TUM2sAGCbBK5lwrMoPMtUTicAFwSci1SHoJvU1IkkJ2SdJqTSkxLtOjB5DmlP99RBR28kc++1bPDkec7UpOEg57x23NHiUn2GDCKGzjBGL1SoKkGqnSg6kp5Q86XLyc0tmXq1XHaxVvXGApWAnM0iGRcI54XCAMbQz5SfnkND56Ed3Nzq4e7OELZJ8faFKgSQCqT1sWsNI/zxQRsxE7i+UoRjGrLx5PPZ3u1V+Q2bDkWJ2O4HpVRuFGVIkE7dNHN6lEyfIvnIWWJsvuGePBx5r37ZYPNUkBuoycwoStT5LwXDgfLA1pxuYDypllKJUJs5MTSV2mcwrtBvImAQmmu6KQyDjG3g8o22fk32xPWQfp6jrJ3EGiuEwK9uSkux/TZVnWGMTx/ItNzlsoPXz1aemQ3B06oo4bi908ej1ghCSDeYK4sFnKt5T+3YaN9ugxL8retLh9rgDKMEv77ZAKXAz64unngoTBAzfPlY3mMBybV/abn4xGvlmfNxJoS4AP4GgAPABPDPhBD/2V6/s/bSDfGf/nf/O+oFC0tFFysVF0tFGwXHTBeQp7F7FULgd3ea6AUJPNvAW0cQN8q5wM4gxFZX7uzXOwEci+LllRLqRRvLJRfLZefIoia164b2W54motmdirb/G6dBSbq450Na9Ogy7+xg6EYhRwEwjJxQjR6t0EyjZxrFHoZaeChFgNM4m/0wwXpnhOYgSlEtKbqzYJskbYo0Sp93+dCNDiCb441ugLZy3Vgo2jhb9SEUrURPEeQYWKXDJbLpCBIGIQgY53jYGqXCrZpvSySDC6xVPbx/qT6WDjfvMRkTvsYM3TBBexChk1qCxRiE0znklACeEojpho4SyQ3XmxeNBDIhUrvGTFQoXy+lgKkaDdsk8CyVTulIkWd+DdANxazXmPdElm4tiZpUyNc3Hk6hxb7Ze6AbxqkbLSEQMZEi+2GSNeeMC3SDCCalqBdsXFzwU163tnfM87nTTUZu1J82UU+gaem/p+05QZAKWHUz3g9i3NkZghDg2lIRZW83xYQLge82+whihqWSs4vGkaKmutFLpwgktU/UzWz++qU0E21nVo7yek+Y9G/Op4FO8262TIqqZ6HqW6h6NkpuFiEeqs3gIJKNb+YnnyHN+jw4bCVcTvdijVprRDv3ORcCJqXwbIqSY8F3DEAAiZ6iaEScZ/qM7PkqfQTGzw/dbKeUErWOeiq1VQuftQhaJ7keVSN2e7uP29uDPScVs6ozivHJ/RYYe0HbyFcviPHdZi9t8IquiesrpSOxVttvPWqP8PXj7pGkEmsR9FrVw6tr8wF/R11CCNxvyrhuzuVG/MZaZU99yrPYOBMABSFEnxBiAfglgP9ACPHhrN9ZvvKq+Lv/+biFtEH1jdlUyX1SZLdYslHzHXVDHUewjnrkpU8w1zLw/uXakeam94IYH95qoDOKsVp1pdevdsMjQNW3cabiYqnoPJXQi13xwyyz9ctzkrUgcL9q+ieVRpYmuYSTbg5jCM4UZMfI//8ZDZdOTIwmELmECXRGER60RtjqBinC6ZqGDLhxDCQCu6g1CeMy9ARIUdxhlKjULRnzfbFekHxmqtFbKOSXI2QstRA0VPPR6IfY6IQAAc5WPXAhsNMPYVKKC3UfaypauuiYqPh2ioSWvb3TLp9UCePojKRlWXsYSV7rMMIwYrJx4EI2CUw2EZYh7bps5SLj2XIUn6KdfHLDlnH9JdqrLAFVEE/q4Y6Mz6rtEMcEhYRIdJbSFCHXvGgzx5V+Uoqndm2QyLBsR/VvCGTOKoxLd51GP8LXGx0MQgbLoFgqOfAs6RVe9S34tjkWWJTSFnLe9HmqAVffSwOSOJSHO08bMWkhmW08x89ljkftERgHar6FetFOUUs/tynZ7oXKX9rGz64uoOhYT0UXwbhIJyDtUYT2MPNuDhOG7kiiwqYhr33XlM3iPOf0NDcYvRakNAlzXGAohcjZWpa/beYTVQfReHIpIDcwhJI0DrtgGxCCTIAV4+uq1AaIHNVkfA3SgEesNnWaZ01za6D+vKAoXjXfQtW3UfNt1AoW7H3et7RIEJAiwf2iiJ1hjE8enL7mOX9PzE809UYqZuObOD0BA/SmVh6bx51Reo5XfRtrVXfqMSYYn0jpTah2f9FTumkT4b16IU2tOCydLEzkecI58MHVhWNLZp23ekGMLx930Q8SEAJcXCjgymJh6lp27I0zIWQVQFMIER7gd33IxvnfFUL8dtbPXXv1DfEP/vu/SG/O3TBGEDLFU1P+wbmxp0Y3fcdMbbd8WzbSvm2i6JooWAZc24RtEiWAksiYZ2WoKIFESNITM5dQxxjHhyr++PVzFayU3TEE5TAlhMDv70r+4bm6h5fPlJEwju1+iM1uiOYgHGui6wUbK2UXSyXnmeBHTat0EVGLh140WM5TWnNZdWMw5qGd50+Kwwe7zKo8sp3dfJB+nnd1SJt1Iq3ypOgzlFQACNiGgTMVF3XfRiLEGC0ij3hxxcXsBzHuNAYYRAxCCCyWHBRtUx0fNQ4mGUWGkOx3E8Zwa2eAUcSxVHLg2wbaowiP2zLYo+KZsAwDlik5xqnFlynpFWXPRMmRIsSiY6Z83/wonCgaAiHjkwDt0KH50BAy/VJGKatGIpQ8awBgqvnVCJt2hLEMiahTKgWd2sM7ReESGZ4TMpVQqSYkGXKX0UemFc29FqpQXkcdA308CrYB3zFVAp2BgmugYFlpE5W6guSEhprTOhnwwbnApw/a6noVWCm72OoF6AUMQSLRUItSLBRt+DZFxDBma6nTLrWN27w83Mlpjd4wUAo8bgcYRAmKjomLdV9tAEgaYmQYBP0gwYPmEIZB8NJyEZ5lwjRImlqn0UwtINUuGSdRvSDGveYQ93YG2OqGGERJqjsAsrW/4llYLNqoFWxUfRtVz4JjGWMo7Uk0awmT1pE7/RA7vXAMQacUqBccrFVcLBadqTfwWXag0RSAoh8mCPIiSrXJlgEt088dQrQA2UTBllSYUk6I7FnGLvcbQgg+e9DGdi/E1eUiLs8pEsxXnvP8PLhthAlDoKhs+pjntTYH0RbNKi5ksulWV7o65e/x9hHe363cplBbK1qU4NMHbVAQ/On1RVR9+8DXttZHLJUcvHlI5PqoinOB2zt93N2RJg5F18Sra2WUJ4TdJ9E4/wsAVwH8b0KI/3jO3zEAfAzgGoB/JIT4+3v9/GQAioBENvshkzZgowTdUI6PB6E6iTmXN2gmP+oGQC6chky/y3mA5nfotvIRdhR3THM3LZOkTcu24pEWHWMX4Z3o3Z+0KsilU+U4d0B2A0/5efLjdjfEg+YQtkXw1vkqLMPIPKzV6LU5jNDoR+iOYogUYQKqno2lkoMFhUQT9cfyDggapR3nAx6+4T/J0tzEvGBMc17zwiDdcOimm+V+Jvu+ADsC3qZ+Xq1hhK1eKAVQAEwDWCi6WCu7KHkSuaOAQp1JpsCDRA/vNvrY7kbggqPs2Vgu2eBcos4cAlyjmkKjjvL1NgcRHrdGoJRgpewgYgIbnQBN5QqyXLTBFAIec8nX5FyJQ+m4CFRylYmiQRgpV1PkkNBsczPv0ckhZypRM1G8Vn29UKVINIh8Dp4tUWkZq6yS4EwKm+rnKtFiQgBDncNCIEXnmIA6D7JGI9DBOipumqlJCeMiRXT1XlyKJEnKHc4j2PlriRICUJE25gLAenuEXpDApATnah5s0wABUo9uzYsmRFpTrZQc1It2avWnr0mD6o1ORuXQy3X+/RDp+YE06Cg/6dlWbi4GJfjRmVJ6E05yCNkwYvhus4eIcSwVHZQ8C5xzEEpg5igXeUTfpASubaCg3qeCY6hQFFP5px980qcnGs2BvKbyjiaGQbBUlJMdxoGQSZ5+dxTvmnDJBtFMHTzK3v6oS0dV/TDBTi/ETj/cZXG4VpXc98N45uaFj/l1L0rkcemMYrSHSqgZxOiHyZ7rnq0oUDLURfpyFx0TQcJwd2eIkmfivYt1qU9Q/1/fN5+0OWkPI3x6X7ptrFU9vLL6dH2etSPSIMwJqbW+Y457gw73MWnmNa4/N+lslx8CMnYN68/lMR5gvRMo1xeC83Uf52seDIOmAWQ6HIwLpT3REwpFL8voSjy1epwloO+HCW5u9eFaBl5WoTXSu3wi1Ee913oTPfm+JYzjlzd3kDCB9y/VD2TbeZzVGkT4al3a1k1Dn0+EqqHoF68KIb7c5+9VAfw5gH9fCPHFxP/7ewD+HgCcPX/x3d/84avxm4T6OZ3kpmO4tTCsNYzQGkRoDWN0RlHK1dS8TX3zlshMPiwlG75mim/5NzTCKCBvQgYBLiz4KLlWGgFtmTkrOMW93M9iECUc3272wLjA5cXCmGfqtEo4R1sthoMwGRMc6aCVirK4m6c0wp429mR8HJQ/XnkUVnIaM2Q2H06THl/VEOU3LM+SPVM+ZZFPNKbT3B1iPu5THcRcIqKKE9wYRNhUI28tRvIsA2XXgmdn9m4ipR9k53MviNFI41op1io+HJOmuzDBAQ6uflc3sRyPWiMkHFguSboShMDjToBRzGS6m2OO+WqztLnUqJZy87AoLCMTIBUcEyXXSMV/jkEhQCb4s/ljmUta1M0osuY4E2/JYxsmPG3gIiXe02Nnff1QIkWEvj0eZnPQ84fzLC0z4SJ77xKGMM651OSnIdCOJwAXXK05AFOf6+fdC2JECk1fKbtpvHIqmFXo5yBK0BrEYMrr2zElnUNTsPRUIE9J0s1qfqOTIt85Oz7TIDBAwCDQGkT4/d0m4kTg+pkiKp6dRXPr454wfPGoi+4oRsk1x/xWNdqZim6TvNCWj22eZHOf0WVsg8J3lMBPifzKnomqZ6Go1k65GZDJq3lPaG3ZpcvWx6fkoO7bU1FaIQR6YSJFm8rJJr826iIEirokfdMrnnWiQTRhwrDZkZuZwf/P3pvGWJZk52FfxN3e/jJfLrVXdXVX792z9DQ1CzeTkmFYhm3BFE0YBijINiWThEgalmGYgCXbMA3YIAxKHGrxD9laIFGiaFmAYdikJIqiOJwhZ1+6p6u7uvaq3N9+9xvhHxEnbryb72W+qsqq6p6ZA8xkdlYub7k34sR3viUpn+dq08M5HZD0uCkxRSEwjHL0oxTjaPb1miS50iBYax5NPTyX4d4ghsPUIazX9FBzDzdQtnVfiVqXDiJRmuPb22NwMFxca+D1c51DwU0nXVkhlGWotg2lkKmjEGPP5aZRrIqW6aDwuKa9U93M7o7VUN93OZ7daOLcysMLCKUstSb29IKCjtZaPjbataVyFjiHntDpCX/NxcEkwa2DCKtND5+41Huox/i4qxAqH4MshJuBQp+7de9EXTX+NoCfklKmJ/Koy9/7lwCEUspfXvQ9j+qqIaVSv5eCJhXNGqW5aRYM90hvpHYCIW3uJNi4M4gwCjM0aw42Wod9WOm1lBJg2lmhrrmDDZ3aVve1C4G+EekGeGdrhP40xWanhpfOdFRjIssTpX1QmGlOJJDmhUn0GkWZ2sz0z7ZqHrp1F92aD2aU3qUn7+OiPixTNvJtI+CErh2X8shZieAbdJ0TtaZ0KaDXiugg8xpWap6pWTIItoVs09eWPWtGaY7tcYL9SaIaU6g0QRqHcsZmGnNqhKO0wNYwQlYor+XNToBuXUcdm/+bdacYRBl2RzFqPsfltRY4Y0iLArf2I4BJPLPeROBwCKjnn+vGMNWoq0rGLGYcSZR1mNr4aETfqrnYbAeaZ19Dr+mjETgzDg/zqAuF9fqXn0vrWiyFiROy70tyjCLlh20faqiBrXl8RhTV8B24nJtUOGHdP3ZMvC1SI6TbfI2X15cQpZWZaSAKiVwKFEVpu0YHrPvDCP0wA2fApV4TNZ+Da3M/gfJxgwFcv42TpMD+NEGaC30/cKy3PGy2a8aFhbjVD1Pva7HomZUarmy0LQvKknpyez/EvUGMZuDiU8/14HKGQsCEkcwKhGfFwiTkm2qrOZtyks1rSKTlcGK9Fwp4UGhWzVMBQJ2aq51rFO2JDhIPcugWQjXT4zjDKFrcTHua5tGte1jRYURP4mA/DDPcGYRmPA+opvPsSh3nVupPhR8qJYk1y1jzcawcZLJc2altj2J06h7Wmr5ap3hp0+c7as/zjmmEx0mO63tKuLXW9HF5oznjylTlmT+ITV+UqskONcrjODdWnNXyNUDQClxzOK/p1NmnZb9q1yBM8e7OxERLt2suXjrdOVE09y/+d/8LPvnH/yT++BsvoNf0sb29jV//h/8If/bP/edmSmc7dpHzkl1SSry1NYIQwGvnuji3UldUIP3aPg1N1lE1CFO8dW+E0KDPDTx/qnNijfP/CODfBvBjUsob1tc/AuAXpJT/yTIPkjG2ASCTUg4YY3UAvwXgf5ZS/t+LfuZx2dFlhUCoY43DNMckKTCO5ydfcQYEnoM0L3B1ewLfZXj9XBcOZwgTgSjLjVk/cROJb3Zcg8WZGvFkhcDOOIHvcrxwqo2mjaxpdwKDMDncBGZQqIlRrDMgyyX2pwl2xgkGYQpI3WRyYJWEhe1Zdw5poZ92k05cY2o86N+qdAlyLKDPS89dgdxCNQtbKKF/FtbfIRSVQksKUf49MfN4lm/4Ce22G/NDsewMxt2BULNFyXUOY3DdMobadUpEhd4fQgVJsCiEwO4kxf1hjCQrDLq/1vRxpquS6HzXmUGZkqzAN+4ONZIssNYKcH61of1xK0KUQiDPBd7eGiPNBZ5Zb2BFN9p3BiH2xilaNRdXrGAeSQ2MEAYNzgthYs3jXNnhjeMcUZojK2A4t/SaESraDhSKuNr00K55Jka8tE7jJQ3K2PQttpur1jw/7HnND6CoD+2aQj9a1mb4uEfBV7dGuLY7hZASL53uoO47M4hOWmiOZHGYEykhMYoy7IwTTJMCkEpM1mt46DUDeK7tvMHN4bDqVEGoeKZR9Gu7E0ziAnXfwfObrbm+yKM4w/u7U+O0ocJ9YBDjeSIj+3PXssNjIDqQGgnHmcDOKMb2OMbuOMHeJMXBNEGYCmRFYZB6QIm+ycKx7imEOvBn7dfspomQ7aqQb1HapY0K5hp5HGh/6UGUHRph26j0St1Hp+4+VlQ6LwS2RjHu9hXNh+pJotDHFU0G7g9jfP7aPnIp8MJmG1ElpZVoA67DjPC05qmGmDE2g3bujWO8sz1Gmkt06h4u9eo4zh+eMZTvsaZBJLlAbPnSCwm9LpeTUIczpXPS1J2m9qM/SXH/46ztUYx3teMNAJxdqePKZuuRG9Jf+au/iv/i538Ol668iM//3u+Cc4Yf+ZEfwVtvvYXPfvaz+Nmf/dm5P5cVwkwopkmBG/tTvH1vBNfhhu5hl+9ytHWSKOURPO1muoo+/5uvnj7x5MBfAfDzADwAvwCgDeCvSCn/zjIPUDfafxuAAwW4/CMp5f9w1M88aR/nJFdcp3GskC46pUpIvLs9QZgWONUNcKZTV2plvSm3AteMJIn3k+uLaqw3/EmSYRoXmOhmPUpLa67re1OkucBqw0e77h5qCu1wBmqaqxvZPF5ZLgRGUY5BlGKs/YeJh90OtMq66RvVuM2LJrSbYDqbvlI214+GWM80zKJEgO1G3fC57K+h/GjzwyBZ+f3kvgBZItZgYIRIQ1MMWBWB1Kg1odt8FumeHZtzq7km27jZcbVNTaFR/u44RT9U/GMl4lJj6NPdGtaa/sz7eHcQ4R19im8E2k5nDo1HSomb+1O8dW+MwON44+IKcgFEWY4vvH+AOCtweaOJbs2fGbVnxdEHPCEVdYGQJ7qepkmBLBdICnq1FYLqMEVZ6tY8JdCq+9pFYnHzari8dgNUaYY8t0wHJDR4ohv7cVwiS/NcXGik2KopISQ11ic1YiWbLs6Bj5xfwfoxHre2DaJBb3MVQ783TnHzYIqDSapdMyS6NW9pK0rHYfA5x62DKUZxjsDjePVMF3WPW5wa9W4lWYGv3x0iyQROa6FaJh5e7FTI0ks71gIqJqFDQsp7plVTDYvvMjBwCKEOFJNEIddxVpSHcFkG3xBlxtGcUsO/PcaOECh5qLNrZslJzQqpQBDTfAk4c+gHtOFToufj8KcdRhnualSXrmfP5TjbreH8agN1/+k3ep+7tocwKfCxiyvoNXxDe1DTInXAnXcdeS5HK1DUsaavDrZpUeCteyPEmUDN43jxdAeMwUqMtA+gwhIel7zk6m3vcjZjzUdJlYFFnZo5ZLmlA9fTPqAcVYWQuL43xa2DqdGpXNlsPRJ946tXb+BP/cl/CzevXcXGxgYAYHd3F6+88gp+53d+B5ubm8f+Dikl/uDaPsK0UGmINVdPKo6mxNR95TREU1g7IfdJ1jDM8K37Q3z/lY0TbZw7AP4nqNjtHQD/oZTyXz3yoz2mPggBKFkhcG1noqJDpcTzp9rKtH8ByZ5zoO65M810w3fQ9N1DN2ReCLy9NcK7WxN4LsfLp9tICzWunlLim7b3IpoA2Q/lFsIrJMAo7Y42B5dSrADH4YBUnKmRbuLthrfhO4bvV3uI0ze3Gk3bs9VGeW26BWCJwrjVjBpUrfw9RpBkuV441jj9uCJLp1wo1FsKq2FHia5XkXNCV4nrV00de9TKheYYThNM08KINuuejnLu1rDSUJZxCj2cIskEXM5web2Jy+tNM7qmQ5MQEp+7pkIKyPEFKO0TA4/j08+uzSxM8zhvJRd6VlxCn5OnsQqxUJzSfphiFGfaDUKWkcf6sOG7HJ26h66mDq3UfQQ+19zg5cI7qGY8sq0m23OYjrJXTWisvZoXjWjr2lXADtl40Ebo1n6Iq9tjMKbGk6dOKEp7FGe4uRdiexQbKs9Kw8NqQ/nY06RBKf3pvVMN562DEP1pBoczPH+qNfeelpC4tjtFnBZYbfp45UwbvutopFadru37Vt+12ulBmPE3ic3UZGKO97LDFJ1G09Xqmk4DqDXAblpIgORwOrgrG700l4e81e2JCXHVHf37quJvOnA/SBVCGgcUclGQUpZrkF6P6r5jbN7Wmio5sn5CyHReCNwfxrg7iAznmzHgVKeGZ9abTzWq+freFNd2JjjdreG1c91D/07oNE2JKDly0aFMak0GZ8Bq08ennl0zB9Bpkms9T4qh1vRk1hpdCGmsFZXbi2p+6b54UO9u1wrzokkHcZmrk4wn5dJSrWmS453tMQ4mikHbqXt48XT7WG3UvPra7QGu3riDn/4PfhT7e7sAgI2NDXzzm99cqmkGFBr+jTvDI5Mlo7Qw18JQA5Pz9tJGoPRAT7qZLoSE6/ATo2r8NQD/DoB/AOB/B/CXAfgAflJKGZ7A411Yz7/6Ufk3f/O3UXc5At9BMIfbNM+EyuZ+0kf7a/QbmIZYS/4sOV6Un6uI2gOkucSLp1vY1BtjphdzhZAIZY+UKn4fCeSYtfE4nGn7H0+fuD0wBnzj7gAcHG8+s4qVxnzTcxPSoaOly9AGS/S4ZNw0oalhWoYN2O4BnZqH090AG+0akeUPvX7V1+q7rWbcOwgNk2WyGn3NdvOwXTyUq4U0aWxxKnAQJuhPM+PIAWBmU3Y5w/1hbIQiDd/BxbWGaYoYU/zcg0mCO/0IDd/Fa+c6ymKRMVzdHiPOClxcaxiuK4nLKDZ42fS5qs8yIadxpgRee5MUO6NYub8kSug1j+/quwytwEO7pn1m6x6agQtPu1DYBy31HNX9+CDFNdBaFOXjpnuHM4rf1h8ddY+uNHx0aq5+bIupHnQgAYBXznZwthIWchIVpjlu7IXYGkXmsOtwhvVWgFMd5aJjI61v3RvifaKMnOkgcLk5+NhJi/cGEW7shfAchhdOtxfyUXMdGhPlasJA/GTIMj7a8I4doOV76DbUa9cKXM21n51w0AFt2YbGc7nisetxP2ekU4CxY4uyxS4RZFVHgELgluE8QpbXhe3Bm86h1KSavhRayYfzNv6ax9Gp6aAW7Ztc97lp6mlyYiPgx91zwzDD7b46SNGWvdEO8MwSQvLHUVGqvHodzvCDz68v3djEJuimOCTQyws1fR1EyrN7oxOo941z1HzVENdcxTvumCCc4z3pydrPBgjofU7y2WtyGYqlXXT4owNgiWKzuRO0k24At0cxrm6PzYHyQq+B5zaaS/8dISR+9+ou9nZ38LM/9qPY3X24xpmiul8608b51eU8oKWUmGgwTwl6M0zTw/cxY0Db3E+KOvW4KB4nKQ788wD+jpQysr72XwL4MwD+tJTy6qM+2EV14YXX5M//6m9ajwUzalZaDEnt/zhOfvdHEbaHCRq+g+dPtY5N8CpEOaZMiPOs7a/sl5ozddGHaYFe08cz602zOTR8bcflOeCcmyaVXgO7MTdWXoBp5uykLBOUIFRYQvXxCykxjknNnhv/SBq5rzUDrLd9rLcCNHx3rljjg+oh/WEpmzO+P0lxuz/F/UGMOBPm6w3dREsAN/dCRFkBMIlT7Tp6TQ90HJRSzuU6T9Mc725PwDnwwqn2kZOF2cCYWcpJmf7IDYXItT6nTcThiq4U54qytDdOcG8YYWsUY3eU4GCa6pE8dIiHup4DRwl1VuoeVpoKoW4EJa2C/g7nTAnvGDl7MB2JrWgIlFS4COEirjg1QSp6XE13GANsxwrf5egEXrlZN3zEaYFbByEcDrxytvtIgQHLVJwV2BrG2BknGEWlnRk10WstH/uTBPeHMVyH4aPnF8ci54XA71/bR5oVeOVcB92ap5EgRcUZxqkKH9H8dkJ07SbR4UyvUa4eifND7go2BcdzuIUKct28qoaxkNJ45MaHPh6t7ncdRZmre9yskcT1jvX7uwhUoAlPMyg58eRhzBibodRU0wFVk11gEhcmoGUUK4vUqu82/Z1WUPJqq25H1eCKeVQCz+EQWoS6NYrN64LV/gsAACAASURBVLLa9HF5vfnE0+a+eOMAgzB75ENjkhW4P4xwux/hbj/Et7cmygNdAuvNAKtNz1A72nUHa81AObTUTp52RRNKErjaFJF52pIHpTXNo6WR246t+3gQVy46cNw6CCElEHgcL55uY7N9/PRrf5LgX3zlXfzX/+mfxvV333koqsbeJMFXbw0QeBzf/9z6I4FpRMEjquwoUtaJ1Ta1GbhYbXraPcw7MfrSk/Bx/lEA/5uU8spD/YIl6uXXPyb/xj/+LUSZQJzlWuW/+PsDTymym76D+pzRID3VqrXdjPBN83aFVhZ/7XYfUjK8fKaNdm0OtxSzPFzb9cL43epEsTAtEGbK1WN/kuLGXohCCpxbrcNhh2984uVVo4UDfaJdJoa3WuSmQe4Gmfa6pRRA2kCjrEBRse1r11RgxmrDRyvwSncLDvhOmdRoez/S436aY60PY1EE+/1BjH0r+IZzoFv3VOhBKuBwhtWmj5dOtRF4HIWUuHMQ4u37Y9R9x3CdcyHw9r0x7g0jIxQkr1c75vckIokBzASGEKpme6YzqZp55QaTYH+qxrBRWijnDFmGqzico+5yNGqOjlr2UPOOVtcHWhUfWHQWrg8CjGEGacwtpJFEiFFaIMzUa5wWs43XOFaousuV+8HFtTo6NQ9dnQhYoomlaHTGOo6XoSoPU1FaYGccY3tUNtF7etLAGfDKmQ7O9xrGIooBM5HT7+9NcHMvRN13cGmteTRa6zATCkPJj8QDzaxmgniolAS5jJ0VVTkan20SfYs2QkmUSaYU/WGaI9Rr1KIKPK6dVpSosvS/lXodnh8b7zjM2OfRqHge1W5eCSEwTtT6fjBJsR8mGEa5ohUYyhhMGJF9oJgn3lxUhRTohxn60xSMKQ75atPHcxstNAPHiJdJb7FMNP2D1p1+iG/fH6PX8vHGxdWlfy4rlG3sIFQ+3VXrQZczTJIc/TBVHsarDXQbHiZxPjeKHYCZ5tL79ajJqMsWodnlvSAPU94spPtBaH5lUIlyKqGGe8ZX2Xo/x3GGt++PzZqw0Q7w4un2kfSzq9tj/Oqvfhaf/aVfNI0ygKXEgVR0gHr+VGvGyvKkqhBSp9Smiq4TZYfWlsDjponuNjy0g+Xu12qdJOJ88Yh/vgTgpv58IKUcLf8Qj68qx1noBS/UggBCi8gaZdFTCTyuucZumYC1hBfsN+4MsT2KcapTw+vnD/O4HrYKIfH77+0hSgtc2WxirRlgrIUOU+3yEWqRjC2UA6x4YVKhayW6LRp0uRpBElppEsiK5fi5UqpNKkxyDMIM/SjDJMpmOL6MM2PZ0/AcM+qmVDmK/yT/ZmpeAl9NBzzHMdSAqgVRYKFU32u21Yh4exRjZxyjPy3RxlGsUK6W76Lb9PDy6Y5y3ljAdU5zgc9dU+b0H7nQnYtI2LZ8yglFU06kZcdmUU7o+2ajZR8uVCYXSvgzMFHembGOLNM8oa8ZnXzYcNHyXWXdxhk8T3kYO1r8taiosa55pcCMPve4TjDUm900zTGYqgX7+t4U7+1MEGWFEYrZ91TgcjR919jjqanRAlGkoxIMqaEpx7kVpF/fJ3aCG1WUFvjWvSG+emuAKCuw2VEC00WVCYFv31d+8c9vtozdWaCt/ZqB0mOQ9/ejiN/yStNAXtmxZW+V5Ms32ABmELpAj2ttS0C6DqtOD9Wi94eodBJAUajUy3nuSg5nxhGAXAGWfW3sePphdHjjJ7EzCdnoOnR5SXOhj3nlUJILgf1Jit1xglwo+8qNdoBT7drR153F4bW9lu0Dr2t9Pi9uPSsEfu/dXQgB/MDziyO4CyFNvsLBND2EICowQPHDe01Fk2KM4fZBiHe2xgBgmjIlui+t5sZzNDtUNc8xk4SORqbnhXY8yZp/T5QphIY+siT1EoBJ9/RdlQDYDzPcG0RgjMF3GV7YbOPyehPBnH6HRJ5f+f9+HX/mP/6PDLq8s7OD3/iN3zi2aR6EKb54ow/XYfiBK8tTdh6lhJAYxXQ/Ke57FfBxODMTwtWGaqiXOTCeZOP8dQD7ABoAqpxmEtNLAP/Hsg4by9aDiAOllIZrbNScuhE9LiHJjpKlxWua5nj73hgOZ/j0c2snqp6+tjvB9d0pWjUXn7zcW3gjF0JqB44CU42yRNo3dZE4EdAjb9cxo9QGeUn7rg6wmI22JoRdSEris9A4GldmQiGDE7X4JdbpmTGg4Tmo+Tr4hUREFnfQHvVS82MWaX441IGsrkxKmc2l5CVHcB6fjKgD34n86zgrsDtOsD2KMQgzZEKFnwyjDA3fwYVeA9/3TA9pXuCdrYny5n22vMZoM6p5Dj793Npj86o142xtTWYfukrfamU5aAu8bCFmLpS4L7TEQYMwM3aPBAQ7DGX4kG6CiU+qDmHMpHAWevpTjVKv2g/6mnpA6Wl138EwzHBzfwrf43jpVBubnRrGsULGDqYp+mGqnXLKA4fQtlhqFMuMNzOAh3akMWEnLsc0yfH+7hSOFo2eX62XSYmZEtM5jqJd1V3H2BNutgN85MKKaiCfol8tiVMJqavyTe2Ge1n+KU3q5MwUUcIWWc87hJCwu+ZxMzWU2lUmSg+/WYGnvJ8J6WwtedAQQhrRHIkrw2SOsNLyllbOA6VIigARQvmnSYFrexNsDWIISHgOx8VeA926p9I684c7qNhVnSL5Dsf7exOMogxXNlt4Zr1p1vEkK4Vgg8pBgXOgo113VnUs+qK12tYRvHCqjYtrhylRQqgDj21Xuchhh6YJhpoTeGjV3A9MGBdVVbRdItmH6Uzz3s+sUPvCQKPPDd/BxV4DzZrqAXyXQ0iJt7ULEx18bHeRZQ4YX7nVx/4kxbMbTTxr2Z0+ySIhqhGQRofvJ84VT5o0Qyt1b+6ad5KN81ellB9jjH1ZSvnGAz6nR6qTcNUgM/dJoppOQqijtEC84KITUuKdrTGyQuDZjSaeWW+ZCNm6bhDrnvNQo6AwzfH59/chBI4UBB5XeSE0+m49J/0xyY9GW+z0NfPRc1DTvqnHlZQSozhXHq2jGEMddUv/8xxlOaWU9C4koDfEQgkoCxUcYY8us6IoQ2msZltKOScljc9ERVcDN6iqDTehdgZhsdT3rjP7bza/94NacVZgZ5RgZxzj5n6I2/0QeSH1eLOOMC0QuByffK6HZ9bUoialxBeuH2AS57i80cRzT2mxW7aqDUKaCwyiFAeTDHvTBLvjGMNITWdivZnkudCHq5I+5OpriOKD6f0G0yiQFr4RqidsBwU9Ot4dJ3A4w2Y7wJluXaGyNRct7Z7TClwVMiSY2cgX+U0TjYC4vr6nD5x6kxTSmhSJcnJkIyvTJMc1HSCx2Q6O5ZkmuYrVdjjDa+dWDLJnRMyYdb+x7xEbhSTBqe13/iRQPNXEWghdNiuQNomPx9CNpFSx70kuTKARNdjeoefLDULLAAMyVDUrVL6r1r5OTVE9uksi05RqR44DQy2Qs4sxFR9OVnid2uGmbxCm+PbW2NAf1tsBXjjVmvGgTq3Xiq6p3D6w2u5CliB03vMdRimu74UqtKVbV24rSWbEwCSMb9dc9Eyj7CPwuLmWSuBk1hec9leihADAi6fbS+kJqJki6tVYx4zPmyYAqrE03u/atvJRIuOfVFGDrdJrDwtwd8cJ3tuZaCGrwGa7hs12AMaYoXetNrxDFAsSPZZTYMea9nAEjoOkKPDVWwN4jmq8P0haJ9onBprOVJ1yMKYoj72mj7VmgE6d1sKTa5x/GcBnoGgZ/y2ArwH4ppQyeZQntkw9bjs6WogjSyUdZ4WJn/Rcjhc2WwtvHlcnqhkxn6aCNPzFkdt0QjuzUsOrZ0+O/mGXEsYUBp2OtJKZnudRb7nDWZmc5DsGbau5ixtrQkEPpikOwnRm42JMWeWsNnyst3x0NE/c5oUlc5Al+pyirwu9uZGDRUkbEMbdgjiCnJXoiC2weZgmmGvHBY8rv+UqOr7IQo++5lqo5uOknVCAwpdv9nFzP9QTAbXZrTR9vHymg1U9tmIMePveCI7D8JnnFo9YPywVZ4VaIDUiPYxShVTr6dM0yREXAh5nCDRX0HMZAGVV5rlqIygpQsxMWtJcYncc49aBCqIhseJRlCfOZidZFMCg1RUQwhZSkse3QoUJvewssMcj8VI/TPBHN/pIMoH1VoDL682ZECKyXzQHUSFxbWeCg2mKXtPDxd7JchFn/c5Lu0hqnBRXfRbVV4dWbuhdRoBq/bc9EVh2gmQi3Il3XeFiU8hPtTElXQtRSWLdnEOqZMOZKZdeJ11t+0m+8fN4ynXfMSNj5bCx3P0WWTHkg/Dw5g+o9bWpRY2EpDV8B3f6Ed7bnWidCvDcRgsXe41HWn/sKdJAJ9XujRN8/v19RKnA+V4djsPU39RWfQ3fQTt4ODsxat5ch6E/TXF3EMHlHFc2W7jQa6iUQrdci+n9OWqdT/LCRG6P9cdwwVTacZg5EJNwtBmcnBDxSVVWCLy7PcG9gVrDGr6L5zaa+PbWGDujBBfX1GQiLR6MKnJjf4pBmOHsirJHVEj14YCrxx1Nvkxlmi5F+8QoymbuJcdh6DV8fOzi6on6OD8H4HegAkxeB/AqgBSqgf6Jh3wux9bT8HGeJDm+8P4+pAQ+dmEFvsfVIpoKk0pEnOqjNk/GMMOfrHsOxnGO67tT1AOOH3p+48T8Ph+kqKkO0/J52Ij1ceIwzjVibTwzdWNNI3LOMI5VjHB/DpGfLtC1ljrpHbeJECfMVjbb6BKp8ec97kKImYYbeiF2uBLTcD47puccxqM40zzek44kN424paK3NwDyc7ZFmYQA2vSWoxrxrWGMr98dYHcU41v3RghcB29cWkHdK6+32/0QWS5weaOJj19c/UCkOJ1UZYXAKMqUzZFuPDLdRNGkSQnDJByukF/illLjU/MVV3kc5bgzULZtl9dbOLNSR16otSC0UrMULayMnj5SSyBVMiYAnY4pADD4rqJNBG5p81bXoqcVPa5fbfrgTOkvCiFxqlvD6+e6xzZEozjDH75/AAmJ73umB4czE/NOaKsdU27z2Qn5Tg06WdouUiz9kyq7QTeIpTWNmpfiSU4VVQqXocLp9Z0a5WrKYy6EEqiTYLQyIqcpFQk+lYiS6TRFpg9P5b1V81QjTZzeZQ+uhZAmjv6oBE3P5Vipe2gGDvYmKcZRBsYYug0PL5/pPLD/s5Qqtnww1YfTStLi7X6IYZjhyqkWPnJuBb2Wb/4GZQ9kRQXRNtOUUpxMtK7M+ne7dscJ7g6UudeFXmMhl58EkaUguPxI6ycdWn3LASgp1Hs8SVVzvYgOaXOniaLzJNJJH7X2Jgnevj8yqPv+JEGv6eMHX9g4dA2S6PEQmKX34VGU4Su3+iikSkr1l2iKOUfFG7sSr050S+fxh9CQQPVgqkS8JDo90eRAAGCMvWBbzzHGWgBek1J+/iEf+7H1pBtnKSW+dLOPQZjh3GodL5/pHPn9iaYehFnJPV6EZqS5wDvbSpRzvlfHejPQLiAazbXESbSJPw2aQFZY8eF6M7Eb7GUaa1vxS3GoYVpgmmbIcjnT8JFvbq/pY7XpPXT8aSGkGd+Wj1l9Hh9By7GLuOH2exG45YhaNRuKk5vlFEZTIuA0xqWGgviUlAD3sIlsR5UtHKNmy9HWbLcOVDjHMMyw0a7h4xe7AJhGWzLNjQVePt1R0xIrxalT/3CiK4uK0DvilY7jrHTPSQtE+l5WhxS1OY6jHAehChg4063hQq9h7MQo9awZuIcOHIWQJjV0SqmhejMOtVYhyUrFvQrmUdcJuVPk+toiJxBqzgDgYKocPXrNAC+dbmNFh6JUxbX2xvSNu0MMwwwX1xp44dThONxHLfs+AMoEUCHL0CEzKbLvCyNELcMsisq/2VqMkyhbN1EepLV2wmXmYOs5ip5BTkTqMcFYFw5CxWufJnT9FIf9yqVaJ4yjC0paQFM7sHQbHtZagaEyPMgBlprpYZSZ0XR175mkOfYnCTzO0aw5eOVMFy+dbi9s9GzxFYEf1bUr8LgRXXEGvHVvhJrv4AeurJ9YA0nNW24oIwI3tDg3L6Sy22z4MxZxDytMtovQawnlRkPc4lTfs8wCMex7s1XzTDNNDfXT0g4sqqwQuLo9xrvbE7y3M8F6K8CPv3neiISXrW/dG+L+IMbZlRqubLYrmgRb6Dh7CF22yGnHJ1cxj5s+KdAg3bI87GUqzgrsT1OcX208Xju6J1FPunEmIYLvcnz6ubVHahqokaOG+ks3+9ifJGgGLs6vNo7lIQOl8p9GvjbSG7hPJxo0N421OIRWLzPiSQthYlKTrFDKX2sE2m24ONWpYbNde+BN5KiyuWCmwc6s5jorFvLfqGzRpf1eLBv7C6CCspRBELT4241Cyb2EEdTZY/hlFqKdcYwvvH8AISUu9Bo41anhdCdAIYCrOyPsjFL4LtMhCuWGQMhew3PRrKmEPYqrbupgC5uq4lgbybJBKk+zhFAoGnFKR1FmUIdCCFzbnWJLRx6f7dbR09H0jTkevDXPQafuam9Z9fG469Y+dIc6BGCkG/sopSZS6BRRdY+Nkwy3DyIkuYDvMPRavmn8am6Zgtipa46m74CBYZzkuLYzgeswfOzCChq+axpD353l9HoOt7QE890UnmbNHFSlNAdYuoeqDi/UdNEUaRFXd9maDbwoebhCKpu7WFMBiAYw1YEp5m9KadJhc/0cfIehWVMWWir0yMepToDNTg2n2gGagftA91KY5mYkPQzVdZ0Loa0ty6S51851cLpTQ8N3IKET+rQfdbX5JICDKCfVSSG5RL1xafWx+0lTaiFjwEtnOjhX4faTHkDI2UNa6byinElmQoHyci0+qiSkofuofU/nNGhdBdEEiVrU9B20tYC0U1f+9HXfnbnnlqGYnHT90fUDfO7aHlYaPs6v1nGx18Dl9eWCU+JMhd8AwGeeW1+aelSdHtO0mMACO5xmWRGwbdPnaS2C/TXK+1j2APPYfZyfRL320TfkN7/25Sfyt2yrrtfOdXG6ezLRuQDw3s4EN/amCDyOTz27phXf5Q0404TqmO3juMjArKUWeYHaKPbTGL3TgcHwBLNS/UvPlxYnCYkwUfHi4yRHmJT0F643qG7dw0Y7wEZHWSx1ap4RfJ10Y0Y0luqhgFT1i6Kb7fJcjpr1XhzytH6Am/i4WmgdJ2a//tXbfRV+woCVug/HYTi/Uofncnz9zgBCAM9tNgHJZpLRyA6xWooHPzstqc9xZqjaqNlCIFug6RkEkBth5tNo2LJC4GCquMP3BhHiTODcSh3dugcJxS2OswIMahTMOMCkes+r3Naa5+hDhrJ1a/jKX36Z915o5NlMfjLVjH397hD9aYJCAKe6AdJMYKLvH/KINf+T0iDn/WkKCeD8agMXew14epPxNMf4uLLFs9Rw21HZ1bCOZZLwnmbZYSZFUTbeufWRIuap8c7F0YE6R5WERJqpJivSXv6hjo2m9dL4/EqpXlen9MBv1RStY6MVYK3po6nTLAlUOW5Kl+bCTFpu7k3x1dsD48hDvwdQnO2m76ARuNjsBDjdCdBrBksJHMkp6nFqd+yi5hnAiTo6kIaARJPEkV/0Of037Xmqmc4NIDMP/fZcRd9Rrj1KrOx7pY853WdOZa10LPoJZ9C0PmYadjuV8rj77wvv76Mfplipe5hoB4rA43jhVNvYly6qd7bGuH0QLoxbf9Si94AE4aZPqlhZPohlX9WC0ba8tWkidd/98DfOL7z2Ufkv//XnH0uUbbW+eXeIrWH8wGbux1V/muJLN/sAgE9cWsXqkqdxstdTosX8UIO9jDUTRc0GVmNNDQ/999MYxVdpFdRYR0lhwjD6YTZXtFH3HTMOW2v5aPruoYODfXOc5AZuiy4j61DwoJ60lHbW8LVnrnZlqLmLPX8fpSjZSUiJlYaHUaQU92stH1Kq0f9mJ8BLpzsGDSfUZmqhoeM4w1gr02esDKHQHIYyetllfObU/zDXmeEqWnxV2+3Abrxdp0S6H9aOMMmVSnwc5/Bcjo+dX4Hv8tI2LDqMxlFDzRlKAaDEwgY58FQyIgVsdOrHe8tmhcDX7wzQn2ao+w4+cWkVjqZAxTpQaRDl6GtLvEGoHquiSOXYHiVwOHCuWwfjzPAIfZch0MJfhwOcccOnJ3EfTRQepJjexOlvlE22Xn+s0esHCc1epuzACzuiu5ool1v2YfPWBAJOlPODCp2aJrlKUbQahKwQcDlDTduKtgIXvZaPbt1Hu6aoHo4RqWvvcN9Fw3PgOSqkZpIUM5zovBC4eRDi/iBGkit60uluTfGi9XpEbiJE3SJLvEVgTJjm+Nx7+3Achh96fuPQNXNcQ1q1RrWdTuaFiwHAzijGrYMQkMo95Jm1UvzIGA7tj/SfChXmh6Zl1IBSMi/ns04zDNBJpeXfYNAiWGgBuzURyQsVqDSKlNPIKFJTiDQXkGYCUoIdYCgPoC6Dx5XjjvKkV39cysNWsoU1oaQivr/N81dIuHpdvr01BufAxy/0kBUF7g0iRLkAB0Ov6eHyRguNOUhyXkh8+VYfQkh85MLK3O9Rj5RZr49+4fRrzyoOPua1pPfOvLblz5D4njIiHK5eC5P0WBSlINiiiaT54gPMvDpxjvPTqBde+6j8G//4t/CJiz10G4dT+06qDqYpvnyzD86BTz27NmPd8yiV5gJfuL6PJBMnbv1FqFT1JEZNnI3sHlWHm+tZP9yn1VznhdpUdkYxtsfKdkzFNAvjlQuUjXRLI3v2GJ0xmA2b0BtS+c5Eh5+QGGHGLst6H+zgh6Oaa65DbWqWm0m9cth5mIOAlBJ/cG0fYVrg9XMdpIXEtd2JWbT3pyk2mgE+fWVtbjpmtZK8wDQp1ekqtCefQeNIYCakoj4ApSiSxpjkmkDNGnCywsx5/t+2iIwQHM/hyIoCb99XUeWtmos3L62iNee1oEjYYVjypaueofTcSxGngqbTfP5zchyGjnHSUHQYEhvFWYGv3h5gEucIPI5PXFpdan1SXsEZ/tlb29iZJOjUVADANMkPeau7vHRAoJComQZJb+i2A4jj6M0RTCGq+fLjbruqgUeH0gP1/bnIcvLDUIfdg+ZwQHXzTRSAUP9vmioqD4lPqdGl9Yts3to1D77DUEhFhyO+NddroD0V6NZ9rDV9eC7D7jjVjQlwplNHq+aq2PUomztho/WW7EtrrmNSOL90s49hmOHSunJpqNLRHkcNoxQ3D0IIoegnz6w1HiiB8UkX3SuRvT9kZax7VbArdZAZIOEwdZjxHWYCxNTerL6PaCjHiXWnSY6dcYK6z3G6o0FJLQDtT1MUUu2dvYaPXstXCZRa+zGMVGpqq+bimbVmSU3hqrnnnMOxnKUIFX+cZfva26JP224WgKG/FaIMHap6xv/wi5sf/sb5tY9+XP7KP/h/4bscf+xy77HYZgkh8fnr+wiT4sRNvL92e4DdcYKVhodPXFp94uPLvBCIdRMXWzep4fQu4XkK6ObaGs0HFdT6SVnNUPTmwTTF/iTBwTRBnM0KQ1xHUSVoszgqPc4uolgYhxBtv0dUmJN8fiQgJa73RNNUjqOCkFVgiSw5xg7xOM9RCj5ZaXh485kekrzAu9sTbA1j3B1EGEUZPnK+ix9+cfORnheNoskrnSYmy2ycVdU1RQY7FXszBjaTiln1oSVF/rJL2yTJcWN/iryQaPgOLm80jVjMto1TKLeFdOuvkWdsmCmaC4UvVDfwZuBo/1qF7OaFXOgtSzSXOwcRHM7Qa3n4zLPraDyAiGd7FOMbd4Zo+A4+9ewaOGdI8gKjqAzfGIRKUW779ZKPNHHYA9c53Ezbj9VaH+j76PVT7xsUKjRzwBdL6TzsomATQxWxxqzkahE4jrGO+7A12mSXR+t1otcJO3Vvaxhjb5oY9JjWPg6dIKcpQU3f1cmUDpqBo1IuCTW2XhchJXYnMUZhDtdhWG16eOlUF62aizBV4tiBngCSt7Tdl5Huo+FzpLlKMVxp+nhxjgDVbnDowEoce7on5rkJMfO32CE0EgBGUYav3R0gLyQ6NRevnuvOPMfqsigkZihNpcWp0Em9s6g3vU50rVIwzjwk3P5Zu7cqv1c1bUAVlWVadK727KqFYlFIg8qS8xIFODUCx8TC00GUpkYSzHD/1fNU1nR7kwSnuzWst4IZ6lKSKfT5QCfUcs50A+3B5Rzv7U6QZgIXevWFIIuU5WQmzotyjdb7s+2C4zsOHEddQ0Rt87hjNDZKKzPnPSMq4iMcyAg0NOCax/Hi6c6Hv3F+88035d/8zd9Gf5qiU/fMiPKkSgiJb94bYmeUoBE4+NTltRMbHVKj4joMn7y8tjSB/kmX3VzbCKktnFu6ua4g176j1a8WonSSorHjMuyFlGpRD1ScsIroZTOcQjptPgztZR5X6lGeXyGkoYDYTiZE2TmK00VoNcXJNzwXNZ8bBFFKid97bw9FIfHHnu0ZP+3+NMU37g7wpZsDFELi08+t4Y2Lqyd+vdJ1VuW92/z3h1FdE2/NKLD1VMFzOczWydghKyyKDb+1H+K6bppbgYuLvQaEfryPsjSmuUCU5zNoIgNZqCnE3Xe4Flpx+K4DhwGZkIhT5UtNj6sZOLi83oTvqvfTtsE6Khb7SzcP0J9mx4ZGxFlh7Pso7c3ekHKhngMAc3CgTVtKaRIcFxVdm9Wplq+50BKqecjIPaEoXzOaLj0Mv1i5ZNiotTV1qjiPfJCCjuwDaJjkBn2OMjXmj0xKWoa9SYL+NEWSFQYpVE00V1OMhoeW58D3HMPRp4lOLlS35zkcqfa5lVIhi2utAD0tzjZrnKvebyGVbSfRLajB4Yzh/b0pGJSV6/leHWvNAGvanu5xAkfTJMdXbw8QpQUavoOPXVw5scnxB6FIlB/pUJdpUhgP6qPWqdmsCXWI+uqtAThj+MwRE0YK0tmfJCoMinO0AgfbwwQ1cxPrvwAAIABJREFUX02+CitheBhl6E+Vs8sozhGnpfj1gQ7HDIbGaOtCHDsAjTMLTS4PVNDTLwAm05rWJ9L70D5AmpBqfUdQNV56/WPyH/4//xI3D6ZwGMOlteaJkdHtptl1GN64tGqaiUetSZLjD6+rdMDXz3ePJdt/0MsODpgn9kuyY3xrrSL+IwWKKEL+LMI7T2i2TAmrke5rnmf1cTUCR/mnNnys6I3BUCxsK7uKpd2ymzap7qvjUTsePLAS7R5kM8msxZNszYyjyTGOIIHHsTdO0A8znO/V8ZFzK2Y87zCGf/3eLr50c4Bm4ODKZguX1pq41Gs8UdTO5r6X6utyrG0HWjwIjWMeUskZcOsgxDDK4HKGyxtNXNlsGQtF1+HlImshJtTckYDMtlKbEWpWqCZke1eO3wukczrOwFVhGnvjFA4DOg0XZ7oNgwTbYTuE6Aaeg27dRbfua+W+Crn54o0+HM7wg8+vP/D7GKUFxtovmDju89AdQpsJ4SWhZ1ZII3ZeRsRj05SIr1v3nBnrKSlng5PskJPqyHURt3hRKXS2HPdW+dk2beQkqF2ZpqKRGDdMys8Lq+EgZFMI9ZFeb3qMjsPApBqh74zV9GhnlGBgpbnS7wr0wUtRgVxD7ZDaKjDLBQ7CFFFWwNG+z8/0mmjVFZpZ03Hx5KhTghGlW9D13Slu9yOsNj1cskJ2KJ68jA9fHLP9sGVrFB7nlPqDVEJIhDrgLJwBW7S4u3IPRFmOd7Ym8FyGj19YVVOwCjXTniIPwhTXdqfoT1Pc3J9iHOf4+MUVvH6+i0lcqIlEmB5aGxhTtJ6mRf3yXY68kIizXCV3Wn1EqMGCKC1QSGGaXaKSVUESOswdRcuhnweTZkIhURoPKJ91hWxLBjgAvv/55agaH+gjmZASu+MEnDFc1b6Dd/sRXjnbwUrDe+hTbLVppgCIk6i8EPjGnSGEAM6u1D/0TTNQNh1HGefbY8Z5sbi2AjnLBTIASBdTE4g6YXMfq80ofU7XAOcMq03fCDAP+ZGGio8aJhHuHCgj/ZbmCJLN0iIufZX2kugDxDw7I9q8j6t5HGxq3BZF0HoOn3utElodpnlpc5aWDi1JJuC7HAfTFIMohRDS0Fjod7cCFwfTBLf3Q0ziHDf3p3h+s41zK/UnIuJyuNqMl0mhp+utKgQha6NqkEIihDlcxHmB63tTJJmykLrYq6M/zfBH1/vm99sHPCOssXjZhHiXPL5SwEK0EkBzFUXZ/ORSGAHUNCkMXWKoEd/+NMXWKIaUQKvmoClcHExT7e2uYrkF07SHSDk1zDu0DsIUUVrgzEodozhDt+ah2/DQ8N1DqI1BDK3n6DoMG21liUY1jXMM4lSJnXSMseLf2uNpAEyi6Ss0fFX/TUDqEBp5KLyImuBqGeEQVGNbOri4ZpOv+w46OmGxihpTqAUp8+3m2uYdZ4WAyCRGEhpNFTNCL4rltsv2mTXXBuMoJAndKNxGWmsDHfzU2JzQsXLMr0f4jJlJ3cxky+FwOIcQmLmeqdZbNay3amq0LSQOQhXucBCmmKY5OEq+J2OA73NsNH106r6alHEGDoZ+mOLOQYhYu3HUfUcFryDTU4aSdlFySxXfvV334Awjld6Zq2snzQWchGEa59gZqcBhzoFW4GGlUTbSjzrlClwlnP2aFtJ+/c4Qb15a/dAJUB+kOC/TDeeVbXs5TQpc2x2rg2ngWPtUNvdn6XBE1MA7mtKXFQJfuTVQTi/tAJ4GvyjUp13z0PAeTvib5IURYpM1ojkACpimOsnVREZxuxXAIayoeKLvPa5wpg804vzxNz4h/6/f/lcYhBlu7E/x7rayn7m83kS37sF1GFYaPlYbHla0yvi4N0sIiW/cHWJ3XDbNysP20UsIia/c7qM/zdAIHHzy8toHagT4QahqkpRxBshm3SqWRYuo+bSbadvLkbiPnsPhMoZJmqMfKp70MEoP/Z12zVXNt/YsfVBuM3G7qHlTH6VBTrNCmsPFMs21XYSc0mZlj5yrvE9bTEUOLWGa40s3+9gaxtjsBFhp+OqErxeX+6MI20PlwFDzHEyTAp5W1j+3qSJ7aSGtP+TC+DSKuNBpIXCvH+GteyPlhexyPLfZBGesFMzR4vuYxExUXI8YueYsFkJiaxThXj9CUgi0Aw/1gBsPYBqRq/WamYOWcqZQTVqkefOTJMP7e1NlW9fx4fGyIfFcjroOEWh4jkIswWaaxMLid9JjVJxKwGF8Jr2PxE7Kkks1wplG0hnK+G2HM2PNR/Z8Ng+1EArNp2AYu9GlA/dx5bkKNS7XAcfQd47TOpRWdKUjAvE+06xArBEy8uwtpB3aAiM6qhZDydsleguJVQOPo+kplL2hnTAaGgE0/F7r52xR4KE1T3O7F9HhJnGGmwchbms3jYlOuARg7vFOzUO34aLheRAQuLEXIkpzpEJivemj1wzM76sCJZkQKugGEnuT1PBgL/YaAINCFZPCpGpKyDLQwlUOIL62cKQApk7teBu8eZUVAn94/QBRWuDsSh2vnD06yOw7uX7t134NP/7jP47NTaVd+Wdfvop/+n/+Jn7xL/4CVhq+Alrm6Z/0tT6KMgxj5R9/MFVTMNdRfHSaHjy33sRLZzrY7NbQeMhp8aISBhAi+tIsIHRU++poKgfXB0JyP4Fe7+OsMPszHeB/8jOXP/xUDTsARUqJt+6P8M07Q4RZgY12gFrFv9LhDJ26h1VCD+uz46DH2TRLKfH1O+p3Bx7Hm5d6H1he8we9bHcKGx2yI7fNpvqAzadpOD21wWSFQJQKY/lHNmckRGsFrk419LFS9058UbCN4ONstlEglCp7yGaOGm0a67sOxzTJ8O72BHXfwZuXevBdbk7xUZbjSzf6iDOBy+tNhGmOe9qyClAhCGdX6gbdIMTPtsKq+c6JL54nUUJIvLc7wa39EICy33r5TGfhwZYOeLlupqlRIvunqqCIAmqqdlE0cqR/ryZISkjsT1LcH6qwFcaAcyt1rLdUk1LouGei5YTaWWFeqVG8gzgvsDdKUA8cnFmp62ZaIU5FIUtEVKpEPELQycaPlOjV5ouETKU9l/5oi7j0j6R6E1YOAoraYhdnytmkoX2Dm/pARk4k1GAyBkCS20p5GE0LidxqrG3Emni+nDPT4LsuQ0OPoe2m07bEIkcCO+GQuO72S0Ex49RkC416qe9T4UEkYqPn6VlUFtcpxdT0mtJrwkB0DGdmymbz+Ocdjh+kCiGxP02wNYxxaz9EP0w1n1rF0Le1/VwrcLA/VZOLZuDgQq+BF061kBWYATvivFyHpZTYn6a4ujWGhMTFXnPGcsx1OOr6sKd8rXUjlAvlAGIBA4GjrBt7Ld+i13nmtTyqRnGGL944gBDAy2cPh6R8pxQdqGmNsa3z/vpf/2v4ub/wF/DKK6/gn//zf4FcSHz/D/0wbl27il/+X/8Kfvpnf8Ycxkm8WAg15b8/jLA7Scx9fHVrDCmByxsN9Jo+8kK5kY3jDHQFNwMHm23FaW8Gnhayc9RoQnTCNpT03Kmqv/Fh/sZ3RADKvORA8lsGgHbdxal2TfFjovSQLRTnQKfmYaXho1tzcbuvTk0n3TQDKnL03iCC6zB84tLqUrZe36tHL9N8WiN74j7ayBVRKo663IWQxlqNlM0up82OadW5j/VWgI1WgPVmgJr/5KLRCTlddKCgBoI+XzSmentrhCQTuLTWwGqFF7EzjnFvEKPhO7iy2YSUDDvjGPcHEeJcNY4Ut9uqOcoiSZ/sHS3eUImDDpo114Q0EEpNHLonWeM4w7fujTCJczAGvHDqaLHckyghJPamCd7ZGmMc5ZBSotPw8OxGCw3PMRHVM424Hv1nhVDpdElu3BXCNFf8PTDcPJgizgTOrtRwqlPTIkKFapL/80RHgSe5AGSJahq6CQc8ztCsOWj4HppadOo7DgTUYYIOA9UDQtlQ0ohVGvcYStSzJx12+S6lpSpKhvqbxzeHEipFMCkEolSlL06tMJ8s16+n/bik0RApe0STPFYJRfAUV9Nz2QzH0tZokGDYtuDiTDcjUiAXQEGiVCkNZ54ipXOTgKgOYvYhhB1qCcqi9DTPKZttW8RMvNCjQmlGcYbdcYLtYYStUaK57YqKA6kcbIZRBs4kfNfB5bUWVptqHF/zHTOxodCeKM3x7ftjTJIcqzoOnoqAALJYo6dJQAWJDhOD7MNQh4iy162rPX2t5aFd841mgahGRJXanyS4sReCc+CVM120a+pxEOI/S4Gzw0aWE4sKYR1CRXmwNpMI6zA9E0FfaXbNYVxILWYzErfZa1xqGzXybj6GitDf38V/9Wd/DDevXcVKbw1CAqP+Pk5fuoK/+nf/CVbXNsz3hlmOg2mK/rTUBRGdhjNgf5Kg4bt46YxySyGUdhLn2B4n2JskaloklMMLxY+TEw83hydmqFf2xJTu+5l0ZD0pssOy6GBP/v4ltexkgJrv2MZZSok7/Qjv7U5QaLHM5fUmLvYayITAMCw5rZM4h5AS4zjH3jTBJM7Rqbn4vstruLBax0rDP5Gmh5IBOQfeuLiKlWVImt+rJ14Uu1022Yf5sTSKJUsdaqQncW44VVSkAG4bnrSvEC1ndpRqLw5P0hObGu1Z4ZrAnYMQV7cnaPgOXj7TMfHERCP52p2BSc2j+FxlW5VgZ5SYBT5wOVYaHnzXMWN64s0JasZ0iIljcYAdR0V5N4JSOU2K75bvoeYrqg1xR6mxedCSUuLGfojrexMIoRDzV892H6sn/DIVpQXe3Rkbvmfdd/D8qRY22w+vh6Br9V4/xuff30cqBJ5db849KHou1yNxxY0MXMdwrlWzmWOSzBf1cQ40fXfG3qzpHx3gMq+KQmCUKD/sQaR408SfpKaCGgzPYaWnuc/hMG6mTXEukOYFUn1gTPLC8CFL1F8fODOiX5QOK8TNJkqEQd1NgiXT3rQlp7l05DissziJIqqIfV9WBah2I0ZI9aKHQIcvdUiQkJJBQBpONf085wzQAkyizdHhfJKoxkpIwPc4TrdraNVo8sTV/eyTNSbDMM6xNYxR9x2cX2mUvHZN7zATCKngUUH0GCln7OaUIFdNxGhtBph+3uraaAaeoXh064oKxMEgJHB3GGJ/ksJxGC71lMfzjNODhH4t1H/S6yoh1WtqhZ04jjXy19OE0i6TDp0ljYnz0rv+qMPPoxYJhvVwxkKQJQ72dvFT//6/gcHBPgCg1e3hl3/9t/HqcxchIXEwSbE/TRClwlw/rcDFetvHWjOA6zBc3RpjFOc4v1rH6W7dhMtQk08Tl/1piu1hhHGSI9PJmy7nWp/h6P1XLh2pTU0xUZA8Xkbdu1xz663JGFl4OlZjTYcjl88elBZlOCzbOH+gxYHzijGGC70GNtoB3t2eYHsU472dCe4PY7x8po3NTk2R030HW8MId/qRSmTSTfZmp4a9cYK9cWJ4Oit6BNStPzin9dZ+iBt7UzAGvH5u5XtN8we4GGNaiHc04jkTZGKJl6I0x/40VcmGkxRjHf4xjhWlgTEopFXzOOdFLBNCVG2o7U24Gk39sKUaz8PPda0ZYBQrb+X1VnAozfLyRhPfujuC7zJ83zM9AMzQFqI0x62DELf7IdJMLZycM1xaa6AVuBrxJks9/fpZFJswL3R4TbrwcZPqmRAmEk02fIWk2alf1ShvEr4lmcC1vQmmcQ7GGM6t1vD8ZhuMK9cbbm9wZhN8fJtbIST2Jmo8vj9NIIR6f55ZV+4lj/q3OWdo1zzkMsS51TourTVwZbOFMC2MkI9QxCwXSjQ2Kd8D11E0t07Nw4VewwhQCSEex5k6PJrfl+NuXwlsFUWuDHBpBgqhnfec7DhdKdWhweEB2jUPG21fOXiEOYZxilGkEu+q/GbPZWj5iidNLhytoLzPbH9Wm+ZAvtvGT5js8CSQFqVbTWQ5n4QaQVVNtvr91IxPtTUYieUoLtl3Sx4z3dOAamqEVgJSc2YLA6X+Js4Bz3VQI7HlghJSHXTDTCinAoujSkFRsXYYKY62iAegqSWax66S65QY0XOBFlNrGk04toYhekXNTG0LKTBJ1OHN4eq+zQoBpGqKsNEOZv5WLgSipMAkK52BorQAz+20QHUo4FoQW/PU2phmBaJcIEwVBWhnnJTvjQAYB2ou+YqXOoHdUYzNdg0ChBarx20+F+VB6ihNGVGBlJhSNcfUQM8kEWqQgIOZSG2iKtTMR4WskmWcWsvs5vvwGkXuLza6vqh2dthMT+M6DD/84gYanQZu7E/NXuU6DGe6dZxdqc1My6O0QH+a4VQX+IErGwu93O0axRnuDSJsDWPkhTqgMQ70GgFOrwTo1X0tElaHKGPBmpFTVGm/SpQyEgimeY5RXP43XSuMqevWtUJYbFRauf1wMxmtNtykjVi2PnSIc7X2JmrcGWmHhrrvmM+pOnUPay0fG60AaSF0NK2KEK4+/UbgYKWu3BVW6t7MmKla94cRvnV3BAB49VwHZ7rfmTyq79X8SnOBQZSqg9gkwSBUiBkFSeRC6k3cQeBwuHozepBkKxM7zdmhRqDqNPIgI6truxNc351itenjE5dmI+allPijG32MogzPrCubtmrlhcDtfoRbB6FBJts1Fxd6DZzq1OBwZpA+4mzTAmgHwEwTLfhIaAHNkeRqDEnpkDZCxKtOJNZr4jkKvbI5w57LcHG1sRR1ipwxXENXKN0m7M2LWU23ozc5m5dLn0NKDOMMO6ME+2EKSSNQxnCqU8Pzp1po+K4Rjj0qapkVAr/37i6EAD5zZXECapyVEczk3zwPXXYdpv2iPbQ0Ol1zVSOi/J5VwlyU5mYjm7n2GSG3ZZiMY3MQligJaZpA2mCltNAo3QC3a55R9a80lFD8JClBZB9H167d7B0X5MJYqQdoaI918luvV9xAaCpGk5vMQtJtS9AwLQxyt4xXruMwuNTIcQYHqsGAVFHR6l4t3U6KOb8wyQWmcYHbgym2BjEEgJavPKIZlNcvZyUCO9J0oEbg4my3pik4anzvaOQXKOkyYIC0/KEzzWUn2sYsmqrdTwRQQCAvyoTGXKjoaHBFXZIAxkkGjyng7MJqA52aa+LmA7cEKLi+D7kEwEiQa1MtFH0EpGuQs9MNolGU/sHzHWMWvk/mwFWxQiTut6W/IWTVTPUsT2PGGPr7u/ipn/j3cO3qt7G6to68EBgPDnDu8vP4b37176O7toF2zcXZbh1rrXL6bqPjNw8muHMQY6Md4MXTZagNsxp2mnaQ5gHm/dFc+lGMQVj2Wg4HNjs1bLQCdOrezKTEvuyIylQ22Jb3vxYvkrbA+ItX3geisxSaQiak0phkonQ3AnSsN+P47//Ua9+ZVI15VQiJ63tT3DqYKiTHYVjTXNS1lr8QYSyNu8kOajZAA1Cbx2pDuyw0PbS1Bd7eJMHXbg8gpeJMXlx7upzJ79XTr5yupzDDUI+fD3HQCJX2XRN8QYbsiUZjyzS8B4+dJgGOESRZyFfZaKgI6C/d7IOD4ZPP9mYU8wAwDDP80Y0DcA58+tn1hULXvBC4O4hwcz80LiGuw3B2pY7zq/WHCiGg5to02Dp2eKK9biXUBlv6faqPo1gdiLNcwnGAjVaAZzdapjmRKJEms8DS5+LBjPoXlYREmBToRykG4Sxa2rQO5fN4u9S4L2rSCV2y0XIS5zEwbA9j3DyYotvw8MqZ7oydG9OdiS3kK/+dIUxV+MlYpwoq14VCby6YEUHanFDayAshjRiQGl2iQJjnh5I32a65atJXVw1v4KmDj4lEd8vRrOvYG7SKDR9Eioo3jtXUZ959Enhco+CuQdOXQZWMfaAs+al2Y2C/fgqxljPuQHEmKl7whaFfGE9wUWoR6Mlx/TdIPBg4HGrrUs/f5rhKKCK0pwWHnuPA9+j1K5ssz0LSbD6unNf0WfeCQqsLpFlpIUj0mCQX2B3HuH0QIUxzOA5D07cPpmVq5u5YBWistXxwxg0lxNOHsk7Nx2pT0X5q1iG4SoeR0nLyyMtQKCHkofuERKRxrv3uNbf+dj+ClMCpToBWTflSNwN1iOk1PKw2AzMtafjq36pe+1V+clV/ME+bYNYzy4IxTosZ2mCqnUmUTSFmmkGaTND1yK1DI01SbLcloob807//t/DZX/pFXHruBfzML/9dvLs1xj/5pT+H/Tvv48d/7i/jJ37yPztS5yWlxLfuj5AXEs9vto4EEY+rtBAY6HwFG9gMXI6VpjJzqJo9LFuFto+kfYA+GnqTJe7OC/p+adYMO5HwL/27r373NM5UZKOyjC3dvBJC8aGHkeLdDaPskFcmQf/3+hHqvoOXzrTxwqnvXrub79XiklJirHmc5E0ZposFrL2mcoKxESjb3WHWUaR04aANmFwBlq37wwjbowSduosXT3dM6IPvqKCD63tTHExTbLYDvHK2c0ioQY0O52SnFuPOQYhxnJu/0Wv5OL9ax0YrOBEeaCFkGRqhAyTuDSLc2FNhJoDiPZ5fraNbLykoXFvs1cmtwOG6WeMmWtpYkkn9WhalR2ip4C5RKClLdGmSZNifpNibpKrh1Buf7zrKLrNBTZtqtGwUq6oOV3+m/HtmIzX/WPleqN/x3s4YSS5wbrWOpu+anyERU1FFY6wNf942UIhZr2O1uc//XrIwVHaFavTsuRyccb2RSWNBOc+tg6g4DV9x3+vu8rxpCatxNTHvqqmqludw9fu90p+WGnN6T5ct4x+rn1upJ1AbtOInizKxT9+jmRDW4fjw6+kwlON+h5mAChLaNnVT1/CdY232Hlc5DsMoynDnIISQEnVfCVBHkaJeEDJ8fxAhLQQ22gHWmoEKAsqEGt9b76/DmdY8OGjplDvbZ75sCsvpm8uZ8ck2SaT5YVqKkMoOdHuY4PZBiEJInF2pw3WYWU9Jk9HUj6GpH0PgOibIoxGUX59Hw3vUIhqTHU2/KKaeDjh02KEmnYpobr/59/4Wnv/Un8AYDeVG5sbY+/rv4s//9M/MeIfTj5briZrmv7c9QT1w8JHz3Znvo8+pqbf/2+aF20X/HSY59iYp9iYJstx6zC4zk612zUPLd8G4trU09BUAmAUWDj0u+29W/nb1sammuaSEvHym+93XOD+OitJCJ9EpBKkfpnh3e4JCSKw1fTyz3kRHp3aRr+GDcGW+V99dRfSOQagmHXaTSdUIHLQ1KteuuWjV3GN52VR2o02btm1vZ38epTm+cmuAtBC4stlCs4IOp4XAO1tjFELiymZrock+jeFpU4uzAvuTFAPdyHIO1F0H6+1A2xUFCNySy01j9wdprKVUtklXd8YYTjPd0EkjVgtzgXGUKTqIHq0fFQG7KJ2KHue8yoQwSvQ4K3dr3+WmWa57y6M0hFhRA2dS4+yvVXix1HhPkhw3D0K4DsOVjZaVlFVujNR4z2x2+m/T6JeDglBKCgqFpJA9nO19aiNmovLCEjpW9yi4RKHKEkCcCUyT3KQLKnvV2dFvXSN/xFcNPBUONPOcFmxf5C9t4qrTfGFYDNn4BZ6aAKn0Ri1Ys5r+TCOuREeZ59u8qBiDoVLRgZPQQiO20u813bv0OtubPk0YCPX23FJ8ZbsRUMof/RxxcJmhFZWcWbsJMUI3VjYr9L7bIjiqvUmCr98ZQAjgVKeGV892kOQCe5ME+9MUt/anuLo9gecwvHKmA8dh6NQ8eA6DEMAkzbE/STHROqTMvN7CIKoULb+MuwqgJlHq/Srfs1yoBLr7wxhhmqMZuDi/WoPvKM/sOC+zA+xwHodzNLVlorJWc8y9FXjqoEcotXmcj3H/r6bcVnntFDpWCIn7wwh7kxSAxL1BjE7dw5uXVtAMvJI25Cv6DAm07X3mizcOMAgzvHSmjfOrJz9Rl1KiH2bK+m6cHNIycA5jjaj2wocTIj9Ifce6ajzNirMCv//eHvYnqRY8+IjSw6tnI3CM6PBhVeffq++OygphDmT9aWrERtWisTM5GXRq7okgHu9uj3FjT3GdXzzdNrxKQs9u7E9xcz9EzeN4+UzHKPsNenaEQjoXAv1phv1pgtia3HBWLoj28yj5wZojBwsRBZBkBaZJgUmSYRBlxn7Sd9S9uNYK4HIOZindqYSQZaqgtv0iZwXFpZYlP9BqUADFH6SgBhL4cAa8vztV4kimGqJey8d6059JNJ3X7Novl7RgZHodiQLAMEvXsKu6nLy3M8FgmuHCWh0Xe80ZOofjsEPCJZfPiphOIkLa9oue6M8X+azXfUfzp5XIT6FtwsR7VyczVL7LDSrVClx060oITq8fvcb2ekthB3FWGBpVf6quoVGUIsnLaQ3xR2uuCiMhsW91ZA9oSy3OjC2dR/7DxEtd0g7uqCIrPzsgyogYs/kUFSo7+S0whw87jfBkOOCDMMVXbg9QFBK9lo+Pnl8xUzMhJH77rW1sjWKsz6FNNgMXay11z3AGjPTEd6xpk+TckAsJ3+Fo6Pe9EThgID50SXtJi/l+97n2Qx9HGb69NUaY5mjXFOBFhxqaILnW/RK4Djgr7eaA0pc70P71gctneMH2NUpOI+b7nkAfsD9J8LXbQ4xipblpBi7u9yMwzvDcZuvI7AO6ZqSUeHdngkbg4Ede2ECnfjIOZEfVNNHTfj2hnSaHQSWHM9NEt2vqoEKR3idR32ucT7jSXOCLNw4QpgVWmx4+dmEVDmdIc8VrHWpqxzCaz5MmNJr+90ELiPhefTBKCImJduqYaBeEsUZjqtXUjUO38fC2YEle4HPv7aMQEp98tndIRFcIiT+4to84KxYiD9SE2tZ3RgyoUaRRlGFvkmJ7FKEfZsp5QwcnELqn1EGq0SSBnc1rrCJ8LmcmLt12IyEE3NWoXuApvih575JbCYlrHJ28lxrLrNlIaKHRUA4Y66zr+1OkmUCr5uLyehOn2gEaGskhdPVJeVbTgR4Avv/K+hP3yT6qklwfduIc40Q5cyziJKvIddWo1jz+K24oAAAgAElEQVRuuMZKmKca8ypiXAh1/agpQUkzUo4TwiTVLSpK1VTNaW7SPU0sOaf00TJSeK2prLrIju1pFaGPKlGtMGEi5F19XGAS53RAKGkrD9vkjeL/n703jbXsStO03rXHMw93jogbk8Ph2U4701lDFkWRKhqqWt2kBMoW/aMlRIn8U4VogZAAwS9+0VKDQGW3SEGpq+huGrKaphCU1EKNoaqrKrPSU6btsB12zMOdz3z2vNfix1prn33Onc6NuKP9PbJ1h7hxzo67z9n7W996v/eN8eH9DqKEo1l28PrFUfH8sO3hs5U+6iUbr5yvY2sYYktFgeeP0TSkT/6sSm5N+Kip0PHjbf+ekmOiWZYSt2bJyYqnvN995nWf8/XfHIS48biHmKdYqhWRcqGcVNJsTkP/fnVKJGOjIUZX6e/ltUAuYrW22DQMlNTORRY8pXcaLJaTM8nXeUV1rA+jHkhSji83BnjYkm43lYKFl8/XsNEPcXtjiAvNorIf5WPuMXohNoxG95kHbWnjN1d1sNyQ1/yCSrbMa8DL7v4uVU9KnPJseLnny2Hm/M5eHtOUO1tazqTnWvK7JXoA22B6gY0x2ZwAMF8tUOF8WCQpx/v3O+j5MSoFC9+63NzVto7zcV1r14+3nWzGpFeiTqOrl+wje/ERZx8hZNdJv556frKjI4zeBs0v0KZZid9c6+P+loeFmovXlhvb/nytF+Cjh13YloHvXJvd07JR38xlKIe8gQ/DROr0Enkzj9QFsRvIroIsokYDSgKjLWLti8rAYFpA2ZbSlapro1G2lc4RWdDGyL7o4IOVu5EPnfGjBLc3h+gHCQyDYaEqh54AZBfp/La3aTBZSDvSkSKLLFfbonntno63HvcRNmCa2hpsFN2cL2pubwxwe2O46/k7bXAu4MVpZnHXD6XF2eQ8CYAsUEUOzgExlxHYXq7zupNrgW2yTL5Qck00Sw5qqjstNe7myJHGGncsSLlAP4jH3m873bC1H3b+/XacPu37ESajLvVIMzvqvu8VYy5ft2oRqNwn9Efps769sB6GCd6710aU8LHOc8oF/vSLDSSpwGvLdSzUpF855zJYZWsYYnMghz3zlBwp75pR98lhlCpHrJ0L6Yry05fD/Hs3pz5b7eFhy0fJNfHtyzNI1Y7HIEzQGcZoKXmmnnPS8w96IZhfjBmGLKYNJl1KEi7U+9rIvOx1+mXeYzi/41NyLVQLcqda7io6aBTlbsw0C5j2MMKNlR78KAVjwNW5Mq7MlmEYLJNcvHaxvq9XfJjI3/GffrEBP+J4bqkqdenR7s4xlsmynaOyqwpqRy5+D7vDHiV8zFpz2kXitPyVl5eocD4MOBf44EEH7WEkY4qvNA9c5Aa5oqezmw2eY0oLPJJ3EFOgb+7aEmynBRogX1da3lEvyYGLyW35IE7x57c2wTnwS9dmd9Qy64uv9gcOdAx0roCZZvtYd7m0N7NtGmBMAILl5AfaKF+gpLb0a8qb/aA6aB0YkY+7zvuC5kMlJifmRwN8+vscn6/10fViOJaBa/MVMCY13XpKPp/kGClt5a6/CzUUty1QQ3XF97It1A4cTAA3VntIU4EXzlVRLzqZLdVIkzpumadlHDo4QVuIjelfJ7TNB9WgH+Qc6WKuH8hdifZQFkYdT84A7GXnJRPHjMyJQjt3FCwzC0gwjVG8ddExM6cNvd07TbEbJqkMaQniPS388namp/06nqR87P2b7z5Ge2znA7pYHEk+tJSJC47PVvsApOXY68sNGAbDg5aHz1f7cCwDv7zL4juIU2wNoyyUI1/YGwbQKDmYK7uYqTgoOyZ6QYL2UHauO140dt3Rzal8RkN+JyblAj+5swUvTHFxpjRmtZZHCDFmv9hX51+/t2MVFjMIk8wVgwuhimNjbHDPze12afcPrUve7ZppW0y50MjXrR6cK7tWtru2OQhxZ3MIgzE0SjZeu1BHs+yAqR27P7m5AQD4l5+bn+q1rlOQl+oFvHJBDgVy5ZqjUz91WNIwTHZdgOV3kHR3uqKkFUdRUGd+0MrRRnpI5wehR4Et+QaHHjhkDPjW5RkqnJ8WIQQ+etTFei+EYxl480rziey1JknVSrujVs5dL962nUjyDuKgaH/eXq5TNvm60hox/ZqqFqS8QHdg9MVSdwV9taW3Pgjw3t02Es5xda4Mx9x98eiogSXdXZUuBlK2cJo6cgdBCIFPHvew2g1gWwa+PXEt0EW3thDUF+tILTCGYYJBNL6dHqtwAK2D1sW6LuylUb8y9GdyYE9LEfTvcXMY4mHLR8E28cIuN//DQiehmWxUXOcHzTL/aoz7ujIAofbYVcN1elBVF2hZxx0sZ80mn6NgmVDfBoBscZNwsaMjtMDoz/QAYcylk4OOp87fuOXi7ODDuEGcZu+13exMR7tAVjajcJqkNLuhdeG+cqoaL0r4njrZIE7x5fpAbX07ePVCAyXHxBfrA/hRisuzJby23NhzN0wIeY/cHETYGoTbhqhd28Bs2R2TanX8WA7rehF6/vbmVMGWcpuGalClnOO9e21wDrx+qYG5yrgl517HNozkQq+fkxHoa+3o2plkRZptSvmWkXPv0Rrpoi2diXRCY99P0AvlblyU7F6UupaRHYNtGlhuSgtQvVC0TGndeG/LkwW1+p3nbeu0Nt9Su1pBkuIvbsmUwV++trsXfJ4xX/5IzjjIY9/5NWIYQNG2lIPJSLNesA5Pq/ykkMb5KeFc4MaKvFGaJsObl5tThSg8Cdq2rDPcW95RL9qYrciLRa0w3RYO8fVlGjs83RFJOcfn6wOAA88vVeHa4wMvAHC/NURrGKNetPHCuaq66FvZhHbBPhqbptOAlrOYJsO3LjezZL2nIa81HKVmjdtO7QZjgGsauLk+gBACr1yo41y9AMcy4ZhMpqOJ0XBlyrd3X/Ld9VFnLGdvxXPBAbvY0OXJd48DFVoQ5HTiu2EZ40l/o6j6UZFrGCMpi+6Qg0Fun+vnS9IsKIELaeumO/MGRo4gSSrUwCaDEByOZahdEOnaAcZQUG4OFVVM14q2GmAbD7vJk7cz3WsXKD/oW1OPfdYWlCkXmYPDuLsDz5yobq72kXCBWtHCldkyopTj5lofnAPPLlRQL9pq2HbUsS6o4UU9wKh/L1JCEGNzEKI1jLYVZXm9c6NkwzIM9Pw427nYSdphWwb8MEHbi9Eo2fjuC/MoHMAFJ492tukF8nrbUzI0/Z6RDi+JXNCpl03RGbdd1M2yRkne36sFC3Ei0AkidL1E7cDE6IeyKH/Q8tELYgghMF8toOyYSIXIQlRcy0BLDZxfmilNFdD2oO2h58dZQJO1S8x1Vmyboy76JHpgeKiK6kEog6520ykDowVBITfQOhpmfbpB22mgwvkpiFOOnz/soD2MYRoMr19sbIslPmr2k3dYJpMr7oocpjgLXQziZEm5wNYgxCMVh7oxCNEeRtlW+Kbq7FQKJpZqRTRK0ph+tuxgruqi7Jj4+HEPFmP49tWZY39PnBR3Noe4tT6AYQCvX2xi5hj+3doFJB9Hm/cojhOOrWGEBy0Prm3ghaXqmEepTqrT2lQ9OOOq6N8nufGMYm/TLIpbu5wMlKY95aPoaO1wAUB1uVg2xJmPRwfYmBVfPoxDCPFEWvUk50GtP4YqoCUv/ch758aJ9PAWQnbQ7VxhoL2ERzZeVmZht5MDitr9HUvK9CIp6eFCZB10pj4pOnIbu+rqrrf0c2fIp8HtEIqTi2fWPwP9uOoYkPv+JPq48/r8SZeV0a7I6HxOE1G/NQjxk9stDKMEZdfEpZky7mwOcW9LygquL1T2fR1KH+txm0jHZEhSaWXnR/J1OLnIL7lmpnfWHelBmGSODW0vQhhzCAjc2hhgEKRolh28cakhi9dD2OVNuRgr3rv+KBBJ64aD3AJZO1rkbff0ALi0vJWLtyjleO9uG+v9ECnnuDRThmWybBEOjNxIPl7pIog4rs6VUHYt2KYJ22IwId12LJX2GHOBQRBnMpsXl2oH6v5mCbcTwVt6SDvv/a+HvvX7Ur8/9tPd55/LMUfXst1Cc7T8TL8vprnmUeH8hPhRig8etOGFKVzbwDcuNg6lu/S0xClH24vkNPIw2hYrrreh6iqJK2+JRXz9SLnAIFCaTKXP86LtVndMD5uBIUxSfPK4C86B55Yq2zyITUOGHrS8CHNlB995dg7VKdPYziqr3QAfP+oCAF5drmOxtvdwzXERxin+v5sb6PoxLs+UUXLNsa31vdAa4MIuhbVehO/UMdptiE+jC8tKpmu0nnoXQhdu6Q7FdRbBzMcT1nQy2GTsrk7Fy+t5PeXxPEqllFIS7cqhh+kEoHSlMtHPYAZKjoFaQUZ864J6L9su3ZXXRY6eE5jsyBtq8ZMP3HBPYXNkcicgr8tnALwowRdrAyRcoFG28cxsGZ+vDxAnHIu1ApbqrnS0SeXCRXvP65TCSW/wSfTTRYm0i9PzBXqw1lbpi9WC3K1dqMhIdtc24UcpOn6EjX6Id++24EccS3UXcyqsyWAMFa1ZL9uqQ67OgdAfhDqO8WTPfPy0JutKq3TZ/A6gENqBJkEshPRTZ8jeQ7aaMYg5x2ongGUwNMo2fuHqDOpFZ8zr3Y/l63mzH+Dde20IIXB9sbrrAlQGv1hY7fro+QkuzhTxyoU6GGNZ2qUOL8q8sfX3+MGDt3Z6ft21ZpAR8PnUv2whzUepjFbOUvMgdQ5j+p5n7GjR+fql5lSF88n66Zwyun6Mnz2Qljpl18IblxqnppNrmwYWqoVsKtZTxvFbQzkYEcQpVrspVrsBALlSb6htn2ZJxs0+rVcrcTrRk8YDFS3bC+Idp6AZQzYUVS8pH8yJG/2FZhErnQDzVRfLzWI2vdwPZKFRdEz0WjIlz084ZkoObL2tPWFrdRRT1cdJlHB8ttoDIOUrp6VoBoDNYQSDMVxoFvHtq82x3/Ok968OR9Dfi3PBIABGQ0rxyI5PNUVHXb5cJ0d3xvJpavrjUXi9am9lY0dF8+GRL2on0ymz36H6/lDp1ZNUoBdE6Idx1p2uqRkC3e1slhwUHTMLOOG5Il9ADp0OwxR9X1r29fwYXjxK35P2iGlW4GR2Zo4FxkbplfLfoP4t+c/3KD61FSTPLTgmu/y62ABGHXL9M9oRJ52MtBz9bVxoFnF7Y4i1bgg/SjFfcXFrY4hBOICp9K6ALLpl53D0t3VhNhbmxEfFm/6zfN0mhMgkAdrNJ/8rMBng2IYculPXraproRcEuLslbdgqBUvJQcZfc45pjGlzn/YapzvFQ/16yzl2CCHwsC2TFwG5WG4NY5gGUHYsLNRcfL46yJxjyhNWgmv9AD0/wWzZydyMQpU2qxMJozTNUi4ftX2YBkPbi/DZWl/usNgTHuCWlk6YKNij3Yp8WNPkAHaSW7imXEDw0cI2EdIxxwDb0X/fyH+tSjEdEhSqmHKhtrhSdbr0+yvbrcnt7uSdifKWpAc+b096wr9qrPcDfPKoh5RLE/dXL9RPte6s5FgozVi4OFPKhhU6Kt2w68vCaWsgO9SA7AzUs0J6e7QzcTbQOspezi5rcvcBkDe6str2lUEjNiqF/Qubq3NlrHQCbA1DvHiuhtncwEyccvSDBM2yg48fdtHzY8yWHcQJRzuRbgh59BBIKaeBziyu7NOvhf5ivY9EhTpcnDn85KwnhXOBu5tDAPJ8Td64DVVglVUFkpd9+LH0VNa+8x1Pvn7ybiDaCcQ0mPTkFgY4TMiQGKBgy9eRgJZu8Cy05jDDCI4bxlj2Gp2U42i/57yTzFDpY9tehF4gA3mCJMVaL8VaLxz7+65loFa00VSF9ExFWqzJgsTGuboxdr9JVBiMnk3oKicHjV4QVVxLujEVHdSUfdlhoIvt/YpC3QXM7wTsRD+Is5TSZtHBUr2AlU4AxzTx0vkqAJbzc8eYt+5ex8hV0aRDUHRMdZRoL2dZIA7CRAXeSN05FwLDcBSyYagFyCBIMAhiNGMXS40C0jQfOy/gMWAYGTCNCJbJ4JoGasqtqORaKDoGLGZkCxFN/teoZSVSpWRmISx6GHY05D2yXBsECVqDSHVnZTy5H3MYjIMLjlRwDIJEWXnK3Yq1XoCUC1xoFMCyRcn2RmDCpfa8pt06TAYvTNHn2wNINNrucdJVZRr9MWMMllwJw8EoXIanQMT5tt+bln7pbrMcpEbm854V3XpQ2cwFPxnyubJAqtyuFOdAoqRnUvK052GPQYUzgPtbHm6uSW3P+UYRLyxVz1R3ljGWdfyWm/J7QZyi48XoqJSsYZigPYzRHsa4gyEMA6i4UjulvX8PavdFHC2cCwx1GEo4nqiVxzRYNsRU1ZZF7nbbuWkoOTLJa2sQYaXr4/JsOfsz2zSUbrCZSUGema/gXL2QbePnu3WhilXeKQEKkN2WfFRwIZdqpj+e1OuxPYyw0glgGDhyt4qDstoL4EcpSo6J2bKDfhDndLyj2N2R3GDnQUMGhmbJwXxVdzKlxELrAwFkmmpfWe75sSxKoiTe9fjyYQRZHLReOO0RYX6aYYxJSYuz8w5k5kIRSUu1LRU53fFi9AKpp93oh9jojwpq02AoOkbWKawUZAe04Ix+d2XXxFzFQdE2EaciN/cSZTtM/SDBQ8jQC8tkuXRReX1/koyAad93evByP0qOhV951sL79zsIEw7XltcZKQEALs3uP7h2GMhdhRRdL8bGIMqGDXuB1B93/RgP2z46XoQ45bi2UMZCtaAivxmiVKhrmrLvizn8bohNI8qkA9WCJcNy1AJJ+umbo8FX0zjQtXmt5+Mnt1u4MldC0bEwU7KzMCguRGYDylRJbpkMrm2g68dgDJgpO7BzLl1SyjlqnLX9SA1sCnz7ygxs00DChZR86LTKMM0WjoGS0GSLAyGvE8NIHoP2rdfX9aLy/dazDLr7LHXYowHlvEXoQc5nvrMtdyOUj382CI2RU4/SPOviWy4QRy5B0/K11jgnqfSc1PKGawsVXJ0r7/O3ziZRwtHx5YV8t2jnvHVSxZUdypJtnqlFxFlF+zLrG2E/iHdNWNOR7vr/w9azb/RD/OxBB0XHxHeuze742K1hhPfvtWGaDN+5NrtzJyPl8GK5/ZjJBpI004zuN/TFGLKBktFQ2Whga9yB4eA3pN3gXODHyuP1mfkynpmvPPVjHhQtG8gPtWk5xU/vtjAIE5yrF1AvTjeo6ObSDPOaZl3QHvS4sm3wOM1cFfQg434DPpbJxrpUOmRDH99JLpiOAqE6mVtD6U/cGkRoeTGGgfT+1al2XEjfXulUY6BkmyjmhsX061xHfJsGy+Q1ergKwDbP7aJjZpIRLRs5KQZhgvdVSAqYQJoi83Y+SVlknPJst3al4+PDBx0EcQrLNHBxpgiDMZVQqXzW1cBblAh0/BCDYOSDPVn3WdkO0Eiznpc/5a9l2g1Dx7cPghifPO5BCCmje2GpCsYYvGg06NjxxuOp45RjpevjQctHxbVwZa4E1x6PBpeyPXn/eNj2EMQpri9W8dzi/k0CvfsyjKRLhpSZyMXEXhZ0mfVcbgaiuEN9IcS4tEO7+ox58ue+1tINHZY0+nMp5dEWobuRL9r/+usXaDhwL7pejI8fd+FHUjv24rkaluqnR8N41CRq2137j+qEpEn0drvOhded7bOuXz1JdKx2T3ktT1oX5dEes5WCdWzWVUII/PmtLfhRim9cbGC+urO/6YcPOtjsh1mU60HR26hhTouYL8j2C2HYCe1+oGO380MgOq1LR+Bm8dw5vRsDw/3WELc3hii7Jn7p6iws09h3KnvSxzn/Ud8E9BBNMtFhyYckJEqLGCV8x9dDy4twf8uDaxl44VwVlmFkYTKyU29smzgvWMe7+NU2e3paXnetQlVk77dgmhxe1P8WV33umE/uDHKa0KEq+hrcGoYIopETSKSj5pXFWDbI6YwXQXkiFcgR66GuhGdhNpZKnyy5JuYqLuarLuYrLqrHbG06DBO8f7+NMObYHIZoFG3MV128cbF5apo0Xpjgz29vYaMXIkxTLFYLO153HZUeqXdWXEu6d7S8GG0VK65t6BI1YMeFyCRsesfNtbcHHvWDGHc2h+ACWKwX8MxcKZNb5FMvZWohsiCWfpDgo0ddbA0inG/IuagwThFxAQMjh4mCbcALU3yxPoBpMLy2XMdcxc3tWFgH3h06qAUdyznK5D2dD3teQsewa138zkU5x/XFGhXOOyGEwL0tD7c2BhBCxnS+eqGe6QG/zuS1VfpFv5N+FhhN4uo0oKOM2TzLBCpyehim6IdxZt81WTxoTXItH8TgHvzCdVjc3Rziy/UBZisO3rjU3PFnhmGCH9+WZvm/+MzOiYNPA+cCMR9NdGsPXn0BzBcYexWbByFMUnyuvGavLVRQzf2b9JBU3n5M6zKfZqp8N/I3RnmzZLjxuIckFXh1uY4rc+VTPYexG1GS8/5VmlQ/Gh9e3A/G5OBi1j1XOnr99Vn8vQBy6LvnJxiEOlZYJhRq2zzdReMQY/Zslim7oPp9oBGQg6LDQBZVg3B7KJJjGWqY0caM8kLWbjn2xC7PYRUzXpTg/Xsd9MMYD1s+Ls4UsVQv4rUL9VNTPCcpzwpQwwBqBVvaqhkGwpSjl7OXy+MoPbu+jlvMQJhK6WTbizBU5yAvK0i5yBbBOojkfmuIJAUaJRvLjeLU91UBgU9XeghjjiuzZQhIpw0uAFtZxkm5ArDa9RHEHIt1F8vN0thijDHZJdZWeLXizsmz0/4u82mDurDerb4AlKuMivDWNUbFPZoBZA3Z0e1AEKf45HEvG2K6NFvCs/OVU/NGPY0kKcdQrWSHajU7TSqQ1ucVHSn30J2is6hv3As9eKWtwPIfB+HuRYCOwtY6xGrhdA1rRgnHv/hyA5wD33l29wQpnTi4V4F9XOjiQk/e57f3Mnsj/bXq/sY52yMhBD5f66Pnx2iUHFyeLY2GlKa4TOoI63yH22DjHe3853oiffLz3WQn2hpvLwnNV4Ek5QgSng3Ahbnuq5av7Fdca6/XyVAVxzRQcIys03cWCmzd0BgEI03zTh08Q7ktyC1wQ4XhGFlKoxygS5WPsSziul6McIffpW0yqVN1DJRUyFF+J0d79uY72dqr1zLYtqJ7p9ezH6V4/34braH0lr88U8aFZhGvKiu004C+Jjxs+WPfLzpygLTsmNlAX1cN8+1UTFsmy+KyXctAKuSOlB7WzQdT9YMYd7aGEAK4OFPCK+dr8pw6JizDyDULtDPGSO6TcIGeF+OL9QFcyxjbCQwTeU8aqAZOz4+x0g1gMODSTAmWKd8XjjVKJtXXJNsYBaA0ijZmKw7qRanffhrpT6rmeLwwVV7wssnkxzvLFAGMxXhX3FEC4WHcP6lwnmCjH+LGSg9xwmFbBl4+X5s6YpPYTpTwkbdrNBoM289D1lQX1fzNbHIgrGCbJ15ECiEy26NMX6pu3PpmruUEe72F9AWzoqzftOTlLNywP3ncxUonwOXZEq7von2LEo4/u7WJNBV441JjzIXjrLHWC/DRwy4sk+GXd9Bt6ynuvIMAY8gK5aO82Qsh8Be3pe76xfM1XGgczzDVaYVzgSAZl4LkP067A2CaTFlsGVlgTH77/LRKQrJ4Zh37rFw9JtHFdFUt0HfqGvb8GJvDMMsIaA8j+HGKNNUDV3JxaTCmYqKNrECflBfsRT6yXRdkKef4Ym2AfhhjvReq2OgSnl+SMiTTZNskVbponwxqOUrk0KccJGwNo23FsWsbmdRAD58lqqkyCHZvNBWUlVzBMiAAdLwYN1a6iGKBsmviQrM41gXW95N8F7bsjrtlfLnex5frAyzVC7g2X8l26cJkNDAcxAl+ereNzX6IgmPCMhniiXhvK/vdGwBGFnCabKFvG6gX7NzwoZN1zm2VOOioMJT8edzrfaUtNfMR3v1g5ywCjd51yopqx5rKSSoPFc4KIWQy0N1NDwAwU3Hw8vnaE00aE/uTHwjT7go6lCFK99c3avJa1clOnu7Q6SlZg+XSs/Z5j4xHDI9P9Ga6QCUNmPatkR+80s4QRVu+gU+LD/iT0PVj/PROC5bJ8KvX53e9AGlZR6Vg4RevzpzKQmM/4pTjx7e3EMYcL5yrYrl5euzngPFu8y8/M0u7ZPuQBTckAmGajkl6dKx5kKTbYpgn0XprV2nHJz2t81KakyZJuQrYGAUfPWkx7Sk3n54vJSO9QEZW54ezOEQWcKNdWQCWC8jgWTBJnO4+oBVzjjsbQ7SH0uVioVbAUq2A5ZnijjruPEy5IWj/X8MYX8hO3hvyOztZIa4KOp00B0y6N4+eS4scekGiEgFl2qoQ21MdAVnMLdZcNEoOGJA5JPWDZFtXtR8muLM5AOfAfNXFtflyFkKiQ2EMYMddW+2lXy1Y+HJ9gCTl+KVrs1nuwyS6KVItWPj2lRkIAF0/wlovwEY/xNYwznzK9U6dfB7pDyflJYAXpdmf5X9PBcvEfp7+plr8jM6DkUlh8rsXpl5wqbCdSA0ie1GCga4zwhRcWc2NeRgyNSfkyjROPaPl2vJ3yNXPa+vD2YpLAShRwvHx4y5agwiMAc8uVHBppnQmb+xnBcs0UDONXdMW9Q1tNPwy8trUNlpBkqpBit31T8eBqYp3fXPcybfStQ7HyeE0onVtPT/Gai/Ytct5aaaEh20fgyDBo45/6orOabi9MUQYc9RL9qnr5sYpx5frAwDAlbnyV/b1dphYWhbmAMDuya9xOnIDCaLRgKp0gOETYTG7W/AZBrY5hYzHAMui+yh30izTQKMkk/E0eghcd6V1Ma2/97gzOv6KK3W5NTUYNl9xs9AfIWQHUBflHU9aYwoB1RGU12o5xCxT+mpqTkPfb/NFd5oLykg4x6vn6/j4cRcP2z4etX2EqexyX5wp7iix0l1wISAfZ0/H56PFNg3EibSFC9XrJ0pl1Hr+sFzLQF2+1IAAACAASURBVF0FkhUdEyZjEEw2bFrDCF+uDxClHBXXQpik+HSlv+25Ys7VYk8m7OmdUVmAGmAGcG/Tg2FI20rpYGGjoDriBduEHyW4szmEaTDMVxu4uS5nOvROWr3ooOLa2eJJv3bihCNOkXkpG0zqr23TABdyB2gQJKM5nj6yITwAsA02Zsun3wu6HMv7gOd9vHdrYDEdZKIWSKlQntA6JIdzJIkAY0wV3aNIeWYwlGwDRdsaG66elq9s4dz1Y3z0sIsgTmFbBl67UEezPJ11E3F06BtaaZ9ToTVb+QusNtuXetTRG4vrtKs9DPg1entPv4EMY/Tm0xZAtinjWqlAAZabRdzwYzxsebsWlIbBcH2xgo8ednFrY4jF2s4T6KeVrh/jQcsDY8jsnk4Tn6/2EcQpqgUL505ReuFXgVHa387FdcrFmM46r7WOMhmXXOj7SjayV4FtqtAMd7LAzt28D1MeYpkGmmVn7N63WzHdUwEhj9pSz2sY0rJMz2HUCjYWa27mPpWkPNNLd1QIjAwQSfC4Ix9D+xrXcvaZu2lizzeK+OhRF7PlAe61hvDCFI5p4Pr53S3S8gEsOmJdFtTaqQZj94ZR8MX4zMOoq7rz/UPfVnQhp5PyAPW4tlw06PuULi6HoYz17nqxHIiLfDzu+HBtA4u1AmZKDvyYqyLXwsWKg+WmXCyEMUeYjuwodQT8pAyJgSFSuw0dL8bGIIRjMnAuVHd95CAkAKx1A5gGw/JMEVHKVSE7GjR1zNHrT3v3z5SdMY30IEwQxAJeNAq9ksFBLi7OyEWB9n0eRtsdkhLOwdi4PMoyAA6oneCRG1HKR79THYKSnzvRISkmY7Asphxn9LkS2Xs3SFL46r0rg3bUDkEWnjL9e+4rWTg/6vj4fLUHzoF6ycarF+pnesv864jeBiVOlqVaAV+sD6R1oRejXtq5wFisFfCw7MmAnc3hVH6gpwEh5AQ6IDvn1V0KqJNitRtgVd3oXjlFjgNfF0buQXv/nC6w8/MPQTzh/pJKaYiX7t3BZgzjA43WePfaUYX3kw5b71RMx6nU4mpXpV4gEyW7XoyuNzrOvNe/Hm7Wcw2ci7G/r1NNO57sUGsKtvSVrhdt1EsjmYihLNEsk4EL4O7WEKkQMAyGa7t4qU8bwHLc6MJd5L5uezHWewHWByHimMvUO0N2Yp+dr2CxVsC1+TK2KVomavlEL+byNp6JtPX8cn2ARsnOPN4DHa2dyJ+/3/YQpikKzIQfpXjU8mGZTDaMVIFtWwZKrpl5LleVVZzrmKNFn2kiSjm6OmTNi7PUR6b+XUv1AmbLLmYrDgwDIwmRH6PvJ9skHrbJUCvZaBbla7OhrFd3u+Zp16VUuZMkapciznWdk5wTTcJHPxMmHF6YwItHu9z7zWflObbCmTF2EcAfAFiEfCn8UAjx3x7mc3Au8NlqP1vtXmgW8fzi2UoBJIjThGEwXGgUcHfTw4O2h3qpvuvPPrdYxV/eaeFBy8P5RvHQ7emOgvstD4MgQdExTyToZC+COMVnq7Kov75YIcvMU8yowN77HOlh40mJWuZnruQhYcynupFriUjexUIHaejdM9c0YVtsz0Lb3qWYzjTOyms6jDnaaoBQ49pG1k2uFWycbxRwyZRyrSjhWRGt/w/iFKvdNAseMw02lmB7bb6iQl8E7m55iFMOg7EzFU7GmNRO51msmVisFSCEwONugPfutvDpSg+OJV1y3rjUeKqdBiEECvYGwpjjW5ebYAyZC02UcNzZHKLkWoAALs+WEKqY8ihJM8/vKBWZBnsNo5RLg8nXiJUPoDKNLPmyVrAghIAXywVYoGQ9D9s+TMZQKVpYrBawUHXx4lINBmPoh0kWJ9/x5OtiGKQYBj4etv3MojVbZBXtMXcnw2BwjadriGqpi95x+J0p/95xXokTAP+REOJ9xlgVwHuMsf9bCHHjMB58GCb4+FEX/SBRMbk1nD9lWkWCOItcaJRwd9PDej9AmFR2HYSqFmycbxTxqO3j5lof3zxhe7r98KMUtzeGAIDnl6on7uSSRwiBTx53kaQCc1X3TOrGie3oomOvDjbnchBs1KkeSUSiZHw+JOV5icj+TLoaydS6kdWYnRvSsk0DzZIz5pST9/rv5orp9TjEem9UaBUdU/kYy4GsC40irs1XIITAMErR8VQcuR/Di1K0hzHaw1FX2rVlQVa0TdzeGMKPUvz6i4u4coaK591gTEbSm6q7W3ZNdPwIa73wqULYuspXulq0MDcRWiWjxD1cX6hm7keTA7SxKqRD5WbRDxJ4ynM5iNPM7i5UjloJH7fp1MW17BIDcSLtD4OEgwGjgU0DqBUsNMsuZlRnuVGykXJLuXMl6CuPZ6bkFEwNXrqWoYLAHNSVv7StpCV5s4DR38sNh2J7rDZjTL3WD/a7PrbCWQixAmBFfd5njH0K4AKApy6cH7Q8fKEE7kXHxKvL9V01awRBHIyiY2Ku6mKzH+JxJ9iz83NtvoK1XoDWIMJ6P9h1qvs08NlqDykXWKoXTp015b0tKXtxLAMvnjsbshficDAMhoIxXRT62LC1cl+I1XyI/jrv+3vQQhsYDUlPhqHUizZmyzYipe/W7gZRmiIN5PfyxbRO2dNuHs8uVFCwzW0Jij2VYmuZBhZqLjYGIT6438HtzSH+ykuLeG25gXrxdPneH4TNQYifP+zAtUx89/l5CAGs9UJ8/KiLjh/huYUn2yXfHMjf9eS1LEk5PnnUhRAyu0IvhKYdoNWPoa3s9G6JH8kCe6CyHfw4RcxHmmTbFNLmUSWJDsIYfiyL6TXDgGV6sAwG1zLla6nioFa04ZgGqq6Nsm3Bi0aR3l6UIN7BBUcPPmoXj4Jt7qlX1sX0Th+n5UT2/hhjVwC8AeAnO/zZDwD8AAAuXbq05+MEcYobKz20BnLb6FyjgOcXq1+5kA2COGmWm0Vs9kM8avu4Mru7M41jGbg2X8Hnq318sTbAXNk9lVKp1W6ArUEEy5SDjaeJXhDj9qZ00XiJrDOJPZh22Foz6Wo0nsapw4OkjZy2lEtTAT9N4WO6YttSyXdhOHrMOOWAyFnHqY+uLVP2GkUbzbKNq3MllGwLCefoBbKYbpYc/PmtTax2Q/zT9x/h/paHC81iLhp676HD08RaT9pKCiGlpHoYudn2cFMFrXS9GK8u13cNndqNTVUHzU6YINxcG8CLUlQKFp59QjnaNK+zvM4/CwNTTjV+bkAw4TyTZ/T8GH6cYqMfYqMfwDINVAoW5ioOZssOzjVcOFYJjil9rv0oRV8NtPYDuVjjQmTPuTGQseIF20LJNbIANts0ICAHQ/WQoeTJ3FiOvXBmjFUA/BMAf1sI0Zv8cyHEDwH8EJA+zrs9znovwI0VGT9rWwZeXKpigSbOCeJImC07KDkmvCjFxiDcs5O83CziYdvHMExwr+WdOm1inHLcXJNWT9cXq6eqME25wMePuuAcWJ4pnrpOOHG2OWihDWDky5yILIVQD13pwSydwqmLcMs0ULTHb99RwuHHSdZF9KN018jqsmOiWrRQL9ioFmz82nPz+LMvN3Fn08Of3FzHs4tVnK8Xx/yYC46JprJ7myk7mCk5cE6RKcDDtofPlMXcZKjUcrOEWtHGRw+l3PQnd1p4YamKc/Xp5KaBSiA0DYamOrlCCNxcG+Bxx4dh4MiHi/fT+ecL63wyaNeLsd4PsDGQceRJKrDaDbHaDTP9e7PkYKlWQKPkYLFWkIFirgnbMDJ3mK4/kv5MondIGiUbVX2MbDzMasrMJADHXDgzxmzIovkfCiH+tyd5jDjl+Hy1nw0WzFYcvHiuRq4ZBHGEMMaw3CzJrkjb37NwZozh+aUq3r/Xxt3NIc7VC6fq/fnF2gBRwtEo2Tj/FJrCo+CL9T68MEXJNXF9gSQaxMmjpRk4oJtrysWYRlu7G+Rt4PwoQTeIlTuDTEGME64iwWMAckisYMvBOj9KsdoLcW9zCMtkWKwW0FWR1ZNFOGNA0TZRK9pKImKhYJl7hm2MwlRGelmtzbVNHT99cKtSHRIFANcWKjs2E2oFG79wdQafrfSx1gvwyaMetgYRXljafxd9Sw1rzpQdGIYMofnokcywMAzgpXP1Ex/WnqawHoYJVro+HncCrHZ9dH0pBWkPY9zeGKLsmpm9oQ4d0zsOFxpFvHiuBi7EaOgwN5AaxCnWeqOB1GpBDh7qnYvSARoox+mqwQD8jwA+FUL810/yGL1AejP7UQrTYHh2oYKLMzQ0QxDHwblGAbc2BmipzsBeDgIzZQfzVRcb/RBfrg/wyoXd3TiOk/YwyjowL56rnSrP5vV+gIetUXforGo4CQKQxUnRMVHE9AVJfniwPYywNYwwCOQgGucCry3bcFZ7uL05xBdrA1jMwKsX6ii5JtJUoBcmWedxqJJrvSjFalc+vquG8cquraKqjX3TCXfCMKQkZTx90NgWD24aDA9aHh53AhhM7nDViza6Xpwl55m5n7VNA68u1zHbcbIGYdeP8cr5+q5WoACw2Zf65tmKg2GY4GcPOvCiFI5l4LXl+lgozmlFdpdlIfv8Ug2ANH3YGkRY6flY6wYYhimCJMWjto8klbHktaIcQLUMA4wBFddCvSR3Kq5XXZRsE37C0fEi6eziSb/x9V6IlU6Q7ZzYpzQA5VcA/C0AHzHGPlTf+8+EEH88zV/ODwBWChZevVAneyaCOEZs08BSvYBHbR8P2h5eUBe33XhusYqtYYjVboCLzdKeF/7jgHOBT5W92+XZ8qm6frSGET5+JO/u1+YrNNxMfC1hjGWxyNpJJuVC6lqVD/D5RhHNB218vtLH3a0hGAOuzJalm0TFxdW5MmpFG2XHRJLK7vXWUIaQxCkHVx7LQSS9jbUOtuCYmduF/hkdoKJDUuTwm4wPjzhHtMe/RUDgYdvHlkouvjRTUlrecNe/ky+mAYEHLQ9BnOLjR10sz5RwoV6AbRmwDEMV2jL949b6AAJAZxjhvfttiFTWSS8ot6BBmGTx4/s5TZw0+WRILgRqRQuVQhVXZkrY8iJsDSK0BhG8KEGYcKx1Q9xLhoCQ/7aCIxdEQgXiCIjMB71gS+tGAyyL7R6qYdnJYJm9YGKfpLWT5M033xQ//slf4lO1dQFI3d+TTp0SBPF09IMYP7ndgmky/Oqzc/tuIX65PsDdzSGqBQu/cHXmRDu8tzYGuLMxRMk18UtXZ0/NNaTrxXj/fhspF1ieKe67ICGIrzthnOKf3VjFRw+6ME257T5TcjE/YcM2CmyR2lbTZFkoi97Cn6TkmGODh5WCtW33Rxd3OlgjX+zJ1L8UN9cGWO+HAIRcDBftrBiU6Xi5+HFVjE8ihMBKN1CPAxWhbcHJJU12vAiPOwESpS0HgGbJxsWZ0tRpeIahLN+QK6oZxnvxLP+p/ELsM1y3UzdfQED9lyUs6oG9dAfN+24ESZr5jHtRogb/RGbTaJoMlrK/M9j4fcoyZcS89A93UCuYsAwDv3ht7j0hxJv7PffpabnsABcCf3mnBS9KYZoMLy7VnsrnkCCIp6NakNPv7WGMlW6wr1Tq6lwZK10f/SDBSjc4MW/1QZjg3pb0bH5xqXZqiuZ+EOODB+3MFu/5M5K4SBAniWub+LXrCyhYJla7ARplaWNWsOWumB/xrDCeDGzRhfGlmRIcS6YU6rjqQRjn5B2yWaeDOHQIR6MkgzhMw8ROm1b9IMZHLQ+2aeDSbAmvLzfGgmV2Ix/GoQtJLgQEBzYGAT5b6SOIU3Ax0gP3fI7bG0Pl9+6g7Fg43yjiXKOguuWjqHHsEFmdfeTAyGHiZJupeemK/t9QenNDdeNZ7nODyX9nNiDoJYhSPuqwGwIFS9rVOZahhhTHVylexGEYpzA58EmQZtjSRuW1J7BnIQji8LnYLKE97OJBy8Nys7hnF1nPInzyqIdbGwMsVN1jt4vkXOAT5VRxvlGc6iYGAG+99Ra+//3vY2FhAQCwvr6OH/3oR/jt3/7tQzkuL0rwwf0OklRgvuri5fOnS3NNEKeZesnGlbkyDMYQcw7HNBDEHOu9EK+oLIdRYIt2XUh2LIwrrhw4O1cvwDQYkpSrZDvZzRwE8v9HbZlKbJksK6T1/5Zp4KGyleNcFtuvLk8/lLdXGEe9ZOPybBmtYaSOX7qSrHR9bPQjuJaBl8/X8Mpy/cDe+WLCWYIrFYL+mBcl7FVS569ckz+nlQ26q60vczqoBECmCz+Ma+AgTLDZD7E5CNH1YwgBZY2YouxaWG66KDgmIAT6gbS428mNYzdOdSUqIG90py3ViyC+zsxXXRRsaU3XGkZjyWI7sVQr4EHLR8+PcXfLw7MLx+ubfHdriH6QoGCbeG5Kz+a33noLv/M7v4O3334b77zzDgDgu9/9Lm7ckHlNT1s8B3GK9+91ECUcMxUHr16oU9FMEAfk2nxFaoYjYKleRC+Qg1/v3m3h0kwZV+fKWKgWsmJSCBkp3QsSdD3pBzxUEdP9IMkeV9ugzVcdlGzZHAgTnsWGRwnH1kDqbQFZZLaGEaKEo+xauL5QwcuHPOBrmwYWJyx3373bgmOauDxbwrWFinQ/OSA6lc94giHJ04rWyV+ZK8tzNQyx2Y+wOQwxDGVgCyATKuerLp5fqh7IdeRUa5y/8cY3xc8+eP+kD4MgiAnubA5xa32AuaqL1y829v35jhfh3bttGAbwnWtzx2ZP1wti/PROC0IA37zcxMyU3eb19fWsUJ6fnwcAbGxs4KWXXsI777yTdaGfhDBJ8d7dNrwoRaNk441LTWoMEMQT0hpGeP+evLZ86/IMVro+HrZkZ7jkmHh+qbrn4l4PH+qO9G7aZ8cyMms71zIgBODHKR51fHzyqIsg5jANhuVmEc2Sg7JroVlW8o6ic+gBLV1fXtssk+FfmmLehJC7j20vwqZKtg1zkg3LZPjuC4tnX+P8JKsngiCOnguNIu5sDrDZD+FFyb4yqkbJwVK9gNVucGz2dJwL3HjcgxDAxZnSVEVzknL0gwSeUcbv/sP/Hf/mr38HGxsbAIDm7Bze/kd/hD4rIe36KNomSo4FZ0obIy9K0PZi3N/y4EUpqgUL37jYoKKZIJ6CmbKD840iHnd83Fzr483LTSzVCvh0pY9hKOVQS/UCri9Wdgw7Mg2GRskZs2zbKQY8Srjc/leDegnn6Pkx+mGCRtFBuWHi2kIZcSrQ9eOss/kQsoh3LAON0qiQrhasp5q1eNDyAMhrMRXN02EYDLMVF7MV2WXu+nHmdKK70NNwqgtngiBOJ44ltw1XOgEetn08N8VQ27MLFaz3A6x2Ayw3i0fuLXp7c4hBkKDkmLvKQ4I4RduL0B7KjpMXJZmmr60m4jVCCKz3AsT2cOwxHMtA2ZUBC2W1RVh2TCRcbt+2hhHaXjTW3Si5Jt641KTmAEEcAtcXK9gahuh6MR60fFyaLeEXr87gXsvDnc0BVrsBNgchnl2o4EJj77kMAHAtE/NVc8ylw4uknGNzEOLL9T7ubnmIE3l9mK8aqLgWNgcRqgUbF+pFGAYD5wJBwtFRhfd6L8R6TxbehiGHresqcrxWtKfeidNhHoyBsiyeAq1Pf3ahAi+avnA+1VKNN998U7z77rsnfRgEQexAL4jxl7flVuGvXp+fqnOq7elqRRvfvtI8Ml1v14/x7l0p0XjzSjMr0nWh3BpG6Hgx/ImBED0olHgd/Lvf/+u4+dmnY1KN5154EX/wh/8XSvUZ+LGMDp7WQsm2DDRLtoyPrReoaCaIQ2SjH+JnDzowDYZfemY2k0b4UYrPVnuZHrnkyhTCxVrhQLrWIE5xd2uIxx0/sz4ruhZmSg4YAzpevGPX0jKlN7WpCumEC4Rpiijeft0o2ObYwOFuXekv1vq4t+VhqV44NeFSXwUYY2dfqkEQxOmlVrBRL8kUrJWunwUW7MWV2RJWunJQcLUX4Fz98O3pOBf45HEXQgCXZkuoFWw86vi4tzWEF44XyqbJ0Cw5aJbk9qn2bH3rrX+Mm599mmmagdFw4Lv/7x+PDQcGcYp+ILdlB+p/L0pgMP3YDpplmW5FA4AEcTTMV91MDnZjpYdvXmqAMZle+MalJtZ6AW6uyUj7OxtD3NkYouxaWKy5WKwVxgKRkpQjTLiMak442sMIa70g242ar7q4MlveFuoUp1K+0fFjZW8nI8Q7XrzteB3LgFw7MwgIxPr5ctHQ+a50rSCt8CyD4VFHyj+o23wyUOFMEMQTc7FZQtfr4kFrusLZMg1cm6/gxuMevlwfYKFaOHSN762NAbwwhWvLCNw/u7WZySQsU+oZZ0oOGmUZirBTMasL47wd3TvvvLOjHV3BNlGwx7d18/ZLBEEcD88tVvE//PDv4Vf+1b+G+YqLS7OlMRvJ+YqLthdhrRdivR9gGCa4vZHgtgpGMhhDEKdIdthFYgxYqhdwZa68a6faNo1MQ6sJ4lTpnVP0wxjDUH4dJeO+wYZKvdO+xJzLMI+uJ2OiNb0gRmsQ4VyjAKifOy2+9F8XSKpBEMQTw7nAv/hyE1HC8a3LzamN/v/yTgv9IMHV+TKuzR+ePV3Hi/Dj21vYHERoluxsGKhSsHBltozFmkvFLEF8RdE2kpevPYe/+/v/BN9YbuJ7f/Vfw40bN/C7v/u7Y4tezgVanuwkb/TDsWLZMICCZcK1ZTpfyTFxrl48NGcMIQT6obTE0xZ3k7IxQHaldZAHFwJRwvHJ4x7ChOPqXAn1ogPDQJaOWFfDhzsNQRL7M61UgwpngiCeCh1lvVBz8dry/tZ0wMiezjQYfvna7KHY0w3DBP/nzx/jcSfAXMXBuXoRDRWSMLeP1zRBEGefvI1kY2YWAEOntbmvjSTnAr0ghmEwuJZxIoVnmKTKEm9kjZfy8fqsG0R42PJRsA28cK4GIbBjd7zomGNJhyQTmw7SOBMEcSxcaBRxd3OYWfqUpxi4aZQcLNYKWOsF+Hy1j9eWny4AZL0f4I8+eISun6DsmHj5Qh3PzJWP3LmDIIjTw8LCAt555x288sormY3kzOzcvt7rhrKkO0lcy8RC1dwW1qI70l0/xpcbIeJUYKHqZI4ehiE70gBk8h8X8KMUfi4d0VRJh42JpEPiyaDCmSCIp6Jgyyn11W6A9++38a3LzX19nQFpT7c5lB6anzzuPVHkNOcCN9f7+OefrsGPOJplG9/7xgXMVanDTBCETPVb7fp4isyiE4ExhmrBRrVgY7mJzE86TDleWqplCYhxwsHztpkQMBiDweTQYZoCScLRGkRoKWcR7R7UKDlZV/q4Qqm+ClDhTBDEU/PCUhVhkqI9jPHevemK56Jj4o2LDXxwv5N1Rg5SPA/CBD970MaH97vwY47LsyX8tdfOH3pCF0EQZwMt1djY2MD8/Dy4ALY2N/Bv/Oa/jnfe+X9w9eL5kz7EJ+bOxhCWYeCZ+Qqu53zzvSjJwlq6foxBGINzIM0GlGUnGhBgYEi5ABcCfSF9qR+ox3FtA42ig0ZJekpX3acLaPkqQ4UzQRBPjWUa+MZyAz972DlQ8dwoOXjj0qh4Zgx46dzexbMQAve2PHyx3scXawNwIfDqhTr+lRfmaSiGIL7G/OhHP8KNGzfGbCS/86u/hls3P8Nbv/cP8Hf+i//4TBaDd5QUzjQZLk1Y0JUcCyXHwlJdSjw4F+gH4xKPfIS4aTAwAenqwTDylk4YwphnVnimwVBT3egGyTvGoOFAgiAOjSTlWfHs2sbUso32MMKHDzpIucC5RmHX4nm9H+DW+hB9P8atzQEKtoln5sr4xWcOZ8CQIIizzVtvvTVmI/l4ZRV/97//ffzm3/h3sDxTxAtLtRM+woOx3g/w8wddAMA3LjbGbC+nZacI8fxQoYC0vgsTDi4EeCrAGEPZkc4igOxcV5WXtPaV/qrt7pGrBkEQJ8JRFM+tYYRbGwN0vRgJ51jtBqgVbcxXXbx5eeYrdwEnCOLw6AUySZRz4LWL9WwA77TTD2K8e7eNlAs8u1DBlbnyoT22lngMwhi9QMo24py3dMw5vDBBlAowSJ/psmNlhTQg01BrBQs1VUhXC9aZbmCQqwZBECeCZRp4/WITHz5oH0i20Sw7eP1iAx8+6GClE4CBoeSY+HSlh/VeiCBJkXKBmbKDC40iXNvENy81qWgmCGJPagUbz85XcXOtj08e91C8bKJasPf/iydImKT42YMuUi6y4JXDREs8gNEiIohTmX6qpB5tL8o60ynn8GKOwTBUg4eAbTD4UZLFmQMjrfR+seFnGSqcCYI4dEyDjRXPf3FrC0XbRNExUXYtFG0TJfU5AEQpR5xwRCnHbNnBR4+6uL05QM9PssdbqLmYKzuwLQMV18aL56pTWd/lmdzGzaeKEQTx1eXSbAldP8ZaL8AH9zv49pXTu1PFucBHD7sI4hT1ko2Xzh2PvESnoGrfe22J1/FkEd324rGudJRwDMJEJaUycAi4pgk/HI8N/6oFtFDhTBDEkaCL548fdbHRD+FFKbwoHetO7EbJMdH1Y9QKFi7PlXBtvoJ60UHZNVG0zSfyfNapYm+//XY2OKTDEgBQ8UwQX3FePl9DlHK0hxE+uN/Gm1dm4FjbB95OeoH96WoPHU9K3V5brp9YxzZviXdRDSUOw7xWOsEgNMBVLa210p0ghhACAoABBj9M0fFiYEv+XMkxR4OHJQdl58mu6ScFaZwJgjhyOBfw4hRelMALU1VEJ/CiFIwBtmnANg24lqE+Z3AsA3MV99A0c/lUsfn5eQDAxsbGvqliBEF8dUhSjnfvtTEIEtSKNr55qTHmFqEX2HlnDn3dmIztPgrub3m4udaHaTB860oTtVMuKeFcYBAl6Km0w14QYxgm0KVlwjm8KEUQczBIX23XMlC0R4OHlikDaGZKDhplaYV3EoU0DQcSBEFMsL6+PpYqNj8/j48//piKZoL4GhEmKd6924YfpZipOHh9uZF1dU9qgR2nHA9aHu5siLBKgAAADY1JREFUDiEE8OpyHYu1szHEOEmScvSCZBQfHsQIY9mWFhDw4xReKItpIQRMg2XSPds0skK6qTrSx+UpTcOBBEGcKU56e5QgiK8HrmXijUsN/PRuG61BhBsro+TSnWK75+fnj6xoDuIU91seHrV9pDKpBM/Ml89s0QzIAfGZsoOZ8ijGPIhT9IIYfVVQ94NEeklDzrgMwgQrXR9xKgvpsmOh5Mi5GMtkqLjKBq9ooVawUTpBeQcVzgRBnDjHoT+eTBUDZCfpu9/9Lkk1COJrRsmx8PrFBt6/18ZqN4BrGWOJfEdNP4hxb8vDWi/IZA0zFQdXZstjBedXBT14uJD7FQdxKgvpYBTWkqYiK6RbwwheJ4HBZCFddmUxrbvSNeXcoX2ld9KrHwVUOBMEceJ8//vfx9tvv40bN27glVdeATDaHv3+979/KM+xU6qYLs6ps00QXz/qRRuvLdfx4YMO7m15sEwDZT480gV2149xZ3OIzX4IQAaLLNULuDxbOvUWeYeNLqZ1qIsQAsMoRdeP0fEidP0YXpgi4Rx+zOFFsphOhYBjGCi50p2pYJswGMuGDmVn+uhiw6lwJgjixDmO7VFdGOflIO+88w4VzQTxNWa24uLl83V8/KiLW+sD/Okf/YMjWWAPwgS31gfYUAWzaTCcbxRxaaZ0am3xjhvGGCquhYpr4UKjCEBqv2UhrfTSfoyUy660H0mrPD8OwIVAwTZRUranBXsk8dDyjlrRPhQHDxoOJAjiVECDewRBnBRrvQCfPO6Cc+Cdf/o/4d//rb+FpaVFAE83b+FFCW5vDLHalb7GpsGw3Czi8mz52KQFXyWEEOiHCbreyBJvqLyk/UQOHQ6jBEGcgoGh6IwX07ZloF600VTDh7WCnXWlyVWDIIgzA1nFEQRx0rSGEX72sIM0FWiWHXxjuT5mVXcQgjjFnc0hHnd8CCGDQM43irgyWz7TsdSnkURporUdXs+P4UUjiYevrE/9KB0NHromyo6FgiML6UbJwbMLVXLVIAjibED6Y4IgTpqZsoNvXW7iw/sdtIcR3rvXxuuXGgdKuhuGCe5teVjt+eBcapjPNQp4Zq5CkowjwjINNEoOGqXRUGWccgzU4KEeQPTCFFEqtdKDMMFaLwTnAmXXPFAKLRXOBEGcOKQ/JgjiNFAr2Pj2lRl8cL+NfpDg3bttvHGpgZKzd7nU9WLc3RpmGmY99Hd1rnygoow4HGzTQLPsoJlzKNH+0vnhwyBOMQwTDMJ06scmqQZBEARBEESOMEnx4f0O+kEC2zIwU3JQsA24lgnXNlBQHwdhgntbQ7SHMQApyThXL+LybGnfYps4WYQQGIRJNnz46nKDpBoEQRAEQRAHxbVMfOtyEz9/1EVrEGGtF+z586bJcLFZxMWZ0oGkHcTJwRhDtWCjWrCx3Jz+71HhTBAEQRAEMYFlGnjjYkNt6XMEcYowGX0ME+ncsNws4kKzCPsJBwmJswUVzgRBEARBEDvAGBsbOiMIWh4RBEEQBEEQxBRQ4UwQBEEQBEEQU0CFM0EQBEEQBEFMARXOBEEQBEEQBDEFVDgTBEEQBEEQxBRQ4UwQBEEQBEEQU0CFM0EQBEEQBEFMARXOBEEQBEEQBDEFVDgTBEEQBEEQxBRQ4UwQBEEQBEEQU0CFM0EQBEEQBEFMwbEVzoyx32OMrTPGPj6u5yQIgiAIgiCIw+I4O85/H8BvHOPzEQRBEARBEMShcWyFsxDiTwC0juv5CIIgCIIgCOIwOXUaZ8bYDxhj7zLG3t3Y2DjpwyEIgiAIgiAIAKewcBZC/FAI8aYQ4s35+fmTPhyCIAiCIAiCAHAKC2eCIAiCIAiCOI1Q4UwQBEEQBEEQU3CcdnT/M4C/APA8Y+whY+y3juu5CYIgCIIgCOJpsY7riYQQf/O4nosgCIIgCIIgDhuSahAEQRAEQRDEFFDhTBAEQRAEQRBTQIUzQRAEQRAEQUwBFc4EQRAEQRAEMQVUOBMEQRAEQRDEFFDhTBAEQRAEQRBTQIUzQRAEQRAEQUwBFc4EQRAEQRAEMQVUOBMEQRAEQRDEFFDhTBAEQRAEQRBTQIUzQRAEQRAEQUwBFc4EQRAEQRAEMQVUOBMEQRAEQRDEFFDhTBAEQRAEQRBTQIUzQRAEQRAEQUwBFc4EQRAEQRAEMQVUOBMEQRAEQRDEFFDhTBAEQRAEQRBTQIUzQRAEQRAEQUwBFc4EQRAEQRAEMQVUOBMEQRAEQRDEFFDhTBAEQRAEQRBTQIUzQRAEQRAEQUwBFc4EQRAEQRAEMQVUOBMEQRAEQRDEFFDhTBAEQRAEQRBTQIUzQRAEQRAEQUwBFc4EQRAEQRAEMQVUOBMEQRAEQRDEFFDhTBAEQRAEQRBTQIUzQRAEQRAEQUwBFc4EQRAEQRAEMQVUOBMEQRAEQRDEFFDhTBAEQRAEQRBTQIUzQRAEQRAEQUwBFc4EQRAEQRAEMQVUOBMEQRAEQRDEFFDhTBAEQRAEQRBTQIUzQRAEQRAEQUwBFc4EQRAEQRAEMQVUOBMEQRAEQRDEFFDhTBAEQRAEQRBTQIUzQRAEQRAEQUwBFc4EQRAEQRAEMQVUOBMEQRAEQRDEFBxr4cwY+w3G2OeMsS8ZY//JcT43QRAEQRAEQTwNx1Y4M8ZMAG8B+E0ALwH4m4yxl47r+QmCIAiCIAjiaTjOjvMvAPhSCHFbCBEB+McAvneMz08QBEEQBEEQT8xxFs4XADzIff1QfY8gCIIgCIIgTj3WSR/AJIyxHwD4gfpywBj7/CSP5wiZA7B50gdBPDF0/s42dP7OLnTuzjZ0/s4uX/Vzd3maHzrOwvkRgIu5r5fV98YQQvwQwA+P66BOCsbYu0KIN0/6OIgng87f2YbO39mFzt3Zhs7f2YXOneQ4pRo/BXCdMXaVMeYA+LcB/B/H+PwEQRAEQRAE8cQcW8dZCJEwxn4HwD8DYAL4PSHEJ8f1/ARBEARBEATxNByrxlkI8ccA/vg4n/MU85WXo3zFofN3tqHzd3ahc3e2ofN3dqFzB4AJIU76GAiCIAiCIAji1EOR2wRBEARBEAQxBVQ4HzH7xYwzxlzG2P+i/vwnjLErx3+UxG5Mcf7+Q8bYDcbYzxlj/5wxNpWdDXH07Hfucj/3bzHGBGPsaz8tfpqY5vwxxv6Gev99whj7R8d9jMTuTHHtvMQYe4cx9oG6fv7VkzhOYjuMsd9jjK0zxj7e5c8ZY+y/U+f254yxbx73MZ4kVDgfIVPGjP8WgLYQ4lkA/w2A/+p4j5LYjSnP3wcA3hRCvAbgDwH8neM9SmInpjx3YIxVAfwHAH5yvEdI7MU0548xdh3AfwrgV4QQLwP428d+oMSOTPn++88B/K9CiDcgXbbePt6jJPbg7wP4jT3+/DcBXFf//wDA3zuGYzo1UOF8tEwTM/49AL+vPv9DAL/OGGPHeIzE7ux7/oQQ7wghPPXljyH9yYmTZ5r3HgD8l5CL1eA4D47Yl2nO378H4C0hRBsAhBDrx3yMxO5Mc/4EgJr6vA7g8TEeH7EHQog/AdDa40e+B+APhOTHABqMsXPHc3QnDxXOR8s0MePZzwgh/v/27h5UjjoKw/jzSgQRrbwIKYRUASEpAhaxMuAHYnFtLBSCRlJbSLCyiEQ70cZGEUEQERREFkRs/ALRIrWCBJUQsBDBiyL4eSxmERFy9yTendk7PL9qiy1eOOzu2fmfmfMHsAPcNEo6rXKla+JPA++tNZG6VtZuebx4S1W9O2YwtXQ+e4eBw0k+TfJ5kt2ukGlcnfo9BZxMconhaVuPjRNNe+BKfxtnZeNWbkv7UZKTwG3AHVNn0WpJrgGeB05NHEVX7wDDUfEJhpOeT5IcraofJ02lroeAV6vquSS3A68lOVJVf00dTNqNV5zXq7Nm/J/3JDnAcGT1wyjptEprTXySu4Ange2q+nWkbNrdqtrdCBwBPkryLXAcWHiD4MbofPYuAYuq+r2qvgG+YmikNb1O/U4DbwJU1WfAdcDWKOn0f7V+G+fKxnm9OmvGF8Ajy9cPAB+UD9feFCvrl+QY8BJD0+yM5ebYtXZVtVNVW1V1qKoOMcynb1fV+Wni6j86353vMFxtJskWw+jG12OG1GV16ncRuBMgya0MjfP3o6bU1VoADy+frnEc2Kmq76YONRZHNdbocmvGk5wDzlfVAniF4YjqAsMw/oPTJda/Nev3LHAD8Nbyns6LVbU9WWgB7dppQzXr9z5wT5IvgD+BJ6rK07oN0KzfGeDlJI8z3Ch4yotGmyHJGwx/SreWM+hngWsBqupFhpn0+4ALwC/Ao9MknYabAyVJkqQGRzUkSZKkBhtnSZIkqcHGWZIkSWqwcZYkSZIabJwlSZKkBhtnSZIkqcHGWZIkSWqwcZakGUjyYZK7l6+fSfLC1JkkaW7cHChJ83AWOJfkZuAY4AZLSdpjbg6UpJlI8jHDCvgTVfXT1HkkaW4c1ZCkGUhyFDgI/GbTLEnrYeMsSftckoPA68D9wM9J7p04kiTNko2zJO1jSa4H3gbOVNWXwNMM886SpD3mjLMkSZLU4BVnSZIkqcHGWZIkSWqwcZYkSZIabJwlSZKkBhtnSZIkqcHGWZIkSWqwcZYkSZIabJwlSZKkhr8BYktQpN7xs8EAAAAASUVORK5CYII=\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "#plot the function posterior\n", "xx = np.linspace(-0.1, 1.1, 100)[:,None]\n", "plt.figure(figsize=(12, 6))\n", "for i, s in samples.iloc[::20].iterrows():\n", " f = m.predict_f_samples(xx, 1, initialize=False, feed_dict=m.sample_feed_dict(s))\n", " plt.plot(xx, f[0,:,:], 'C0', lw=2, alpha=0.3)\n", " \n", "plt.plot(X, Y, 'kx', mew=2)\n", "_ = plt.xlim(xx.min(), xx.max())\n", "_ = plt.ylim(0, 6)\n", "plt.xlabel('$x$')\n", "plt.ylabel('$f|X,Y$')\n", "plt.title('Posterior GP samples')\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "## Sparse Variational MC for multiclass classification" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We now consider the [multiclass classification](../advanced/multiclass_classification.ipynb) problem. Here the marginal likelihood is not available in closed form. Instead we use a sparse variational approximation where we approximate the posterior for each GP as $q(f_c) \\propto p(f_c|\\mathbf{u}_c)q(\\mathbf{u}_c)$\n", "\n", "In the standard Sparse Variational Gaussian Process (SVGP) formulation, $q(\\mathbf{u_c})$ is parameterised as a multivariate Gaussian.\n", "\n", "An alternative is to directly sample from the optimal $q(\\mathbf{u}_c)$; this is what sparse variational GP using MCMC (SGPMC) does. " ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "gpflow.reset_default_graph_and_session()\n", "from gpflow.test_util import notebook_niter, is_continuous_integration" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We first build a multiclass classification dataset:" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "# Number of functions and number of data points\n", "C, N = 3, 100\n", "# Input\n", "X = np.random.rand(N, 1)\n", "# RBF kernel matrix\n", "kern = gpflow.kernels.RBF(1, lengthscales=0.1)\n", "K = kern.compute_K_symm(X) + np.eye(N) * 1e-6\n", "# Latents prior sample\n", "f = np.random.multivariate_normal(mean=np.zeros(N), cov=K, size=(C)).T\n", "# Hard max observation\n", "Y = np.argmax(f, 1).reshape(-1,).astype(int)\n", "# One-hot encoding\n", "Y_hot = np.zeros((N, C), dtype=bool)\n", "Y_hot[np.arange(N), Y] = 1" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(12, 6))\n", "order = np.argsort(X.reshape(-1,))\n", "\n", "for c in range(C): \n", " plt.plot(X[order], f[order, c], '.', color=colors[c], label=str(c))\n", " plt.plot(X[order], Y_hot[order, c], '-', color=colors[c])\n", "\n", "plt.legend()\n", "plt.xlabel('$X$')\n", "plt.ylabel('Latent (dots) and one-hot labels (lines)')\n", "plt.title('Sample from the joint $p(Y, \\mathbf{f})$')\n", "plt.grid()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We then build the SGPMC model:" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "with gpflow.defer_build():\n", " m = gpflow.models.SGPMC(X, Y, \n", " kern=gpflow.kernels.Matern32(1, lengthscales=0.1) + gpflow.kernels.White(1, variance=0.01),\n", " likelihood=gpflow.likelihoods.MultiClass(3),\n", " Z=X[::5].copy(), num_latent=3)\n", " m.kern.kernels[0].variance.prior = gpflow.priors.Gamma(1., 1.)\n", " m.kern.kernels[0].lengthscales.prior = gpflow.priors.Gamma(2., 2.)\n", " m.kern.kernels[1].variance.trainable = False\n", " \n", "m.compile()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The chain of samples for $\\mathbf{u}_c, \\theta$ is initialised at the value maximising $p(Y|\\mathbf{u}_c, \\theta)$:" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "opt = gpflow.train.ScipyOptimizer()\n", "opt.minimize(m, maxiter=notebook_niter(10))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Sampling starts with a 'burn in' period:" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [], "source": [ "ci = is_continuous_integration()\n", "burn = 0 if ci else 100\n", "thin = 1 if ci else 10" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [], "source": [ "hmc = gpflow.train.HMC()\n", "samples = hmc.sample(m, num_samples=notebook_niter(500), \n", " epsilon=0.04, lmax=15, logprobs=False)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Statistics of the posterior samples can now be reported:" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plot_from_samples(m, samples, burn, thin)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You can also display the sequence of sampled hyperparameters:" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'hyper-parameter value')" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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hoS4pKansxRdf3B4XF1c5ceLEDmlpaZktWrTwNG/e3DNy5Mh9iYmJfq3I0L179/KHHnpoT+39ffv2PfbEE0/sGDVqVLdjx46FmJmuvfbaki+//DIsIiLCU3vedOfOnSvefvvtwsGDB6dERUUVTZ069csxY8Z0SUtLy/B4PNa5c+eyJUuWFNa+T13y8vJirrrqqn/7oNz1119/5PHHH985ePDglMWLF2955ZVXtt15552JTzzxREJFRYV997vfPXCqUfG6ZGdnH3/ooYd2DRw4MNXj8Sg8PNzNmDHji9TU1JPzkVeuXBn5wAMPdAoJCVFYWJh75plntteu7+abby55++23YxMTE3tGRkZ6nn/++SJJWrhwYezMmTO/qH3fDh06VDz33HNFt9xyS7fqaSSPPPLIrl69epXVbltt6tSpX37ve9/rlpKS0jo7O/tImzZtyi+44ILKyMhIl52dfSQlJSXzmmuuKbnhhhtOOb3m0KFDoUOGDEkuKyszSXrsscd2SNLMmTO/uP322xNTU1PbhISE6Kmnnto+fPjwklmzZsV369Yts1u3bsd79+79de3r1dV3UVFRnjvuuCPJ4/GYJD366KM7a59bH3Pu7JoSnJOT41asWNHUZQAA0CjMbKVzLqfmvjVr1hT17t17X13nnE+eeeaZuJ07dzabMmXK7kDeZ+TIkYljxozZN3DgwH8LasHAn/qOHTtml1xySdr69es3nol7Hjt2zMLCwlx4eLjef//9FuPHj0/0Nd0m2K1Zs6ZN7969k0517Kz40B8AAMCpjBs3ztcStmfMq6++ur0x7vNt+VNfZGSkO1NhWZIKCwub3Xzzzd2rR3Ofe+65ojN17WBDYAYAAECDZWVllW3cuPGsHVFuiKb80B8AAAAQ9AjMAAAAgA8EZgAAAMAHAjMAAADgA4EZAAB8K5MnT26fnJycmZqampGWlpaxePHiFuXl5Ro/fnzHxMTEnmlpaRlpaWkZkydPbl99TmhoaHZaWlpGSkpK5uDBg7sdPnw4RJLMLHvYsGFdq9uVl5erVatWvQcMGJBcve+1116L6dmzZ3r37t0z09PTM+68885O1ce2b98e3q9fv5T8/PzomuecabNmzWo1efLk9pMmTerw8MMPtwvUfU6lY8eOWcXFxT4XbKiuz+Px6Pbbb+/cpUuXnqmpqRkfffTRNx7WceWVV6Zs3bo1/HRruvvuuzu8+eab0ad7nWBHYAYAAA32/vvvt1iwYMEF69at27Bly5YNS5Ys2dKtW7cTEyZM6FhcXBy+cePGgk2bNm345z//uam8vPxk3qh+NPZnn31WEB4e7qZNmxYvSZGRkZ7NmzdHHjlyxCTpjTfeiGnXrt3Jh50sX768+T333NPlz3/+8+dbt24tWLdu3Ybk5OSTD9V48803YwYNGvRvT7BriPLy+p+tMn/+/NghQ4YE/D7fVnV9c+fOjd22bVvzoqKi9TNnztw+bty4LtVtjhw5YgcPHgzr3r37aRVSUVGh3/3ud1/eeOON//ZAl3MNgRkAADTYrl27wuPi4ioiIyOdJCUkJFS0bt268uWXX45//vnnv4iKinKS1KpVK8/06dO/PNU1+vfvf6SwsPDk45cHDRpUMnfu3Ask6ZVXXokbPnz4yTWWp0yZ0v6ee+4pvuiii45LUlhYmCZPnry3+vh7770XO3To0G88Ue6DDz6ISk9PzygoKIgoLS0NGTFiRFJWVlZ6enp6xl/+8pcLJGnGjBmtr7nmmuRLL7009fLLL++Rn58f3adPnx65ubndunbtmjl06NCu1Y/T9ng8KigoiOrXr9/RmveZNm1amyuvvDLlyJEjVlBQEHHFFVekZGZmpmdnZ/dYtWpVc0kaPnx40ujRo7v06tUrbezYsZ0mTZrUYcSIEUl9+vTp0alTp6xf/epXbauv98wzz8RlZWWlp6WlZYwePTqxoqLiG/1WWloacvXVVyf36NEjIyUlJXP27Nmtatf31ltvXXDrrbfuDwkJ0cCBA78uLS0N2759e7gkvfPOO9H9+vU7PG/evJjBgwd3q75uzdH5W2+9tUvPnj3Tk5OTMydOnNihuk3Hjh2zxo4d2zEjIyP9hRdeaDV8+PCk//3f/20lSffee29Cz54901NSUjJHjRqVWN1vffr06TF27NiOWVlZ6UlJST3nz5/fUqoK3GPGjOmUkpKSmZqamvHrX/+6rST9/e9/j7rkkkt6ZGZmpvfv3z+luu6mxDrMAACczd78r87asyGq/oYN0DbjqG58eoevJjfeeGPp448/3iEpKaln//79S0eNGnWgTZs2lQkJCSdqP6b6VMrLy7VgwYKY66677uRo7Q9+8IMDjzzySMLIkSMPbdy4MeqOO+7Yv2zZspaStHnz5sif/exnX53qWhUVFdq6dWvz7Ozs4/n5+eGStHDhwhZ33313l7y8vMKUlJQT48eP7zhgwIDSuXPnFu3bty80JycnfejQoaWSVFBQELV27dqCdu3aVebn50dv3LgxcvXq1duSkpLKs7Oz0xYuXNjy+uuvP7Js2bKojIyMoyEh/xpvnDJlSvyiRYtiFixYUBgZGel+/OMfJ86aNWt7VlZW2eLFi1uMHTu2y8cff7xFkoqLi5t9+umnm8LCwjRp0qQOhYWFzZctW7b50KFDoenp6T3vu+++vQUFBRHz5s2LW7FixaaIiAj3/e9/v8uzzz7bevz48fur7/n666/HtG/fvnzp0qWFkrR///5QSapZX3FxcXhSUtLJx2knJCSc2L59e3hiYmL5O++8E3vTTTcdGjx48OGf/vSniaWlpSExMTGeV155pdWIESMOSNL06dN3tWvXrrKiokKXX355j08++SSyb9++xySpdevWFRs2bNgoSQsWLIitvsd9992358knnyz2/nx0nTNnTuzo0aNLvP+NbN26dRtfffXV2EcffbRDbm7ulmnTpsV/8cUXzTZs2FAQHh6ur776KrSsrMzuuuuuLm+//XZhhw4dKmbPnt3q3nvv7Th37tyi+n6mAonADAAAGiw2Ntazfv36DfPnz49etGhR9G233db97rvvLq7Z5ve//33rmTNntjt06FDYRx99tDE5Obm8rKwsJC0tLUOS+vbte3jChAknH/Hdt2/fYzt37oyYPXt23KBBg0pq37MuS5YsaXHxxReffCR0YWFh83HjxiUtXLhwS1JSUrkkLV26NGbBggUXzJgxo70klZWVWWFhYTNJuuKKK0rbtWtXWX1+VlbW19XTFTIzM49u3bq1mSTl5+fH5Obmngz4c+bMad2hQ4cTCxYs2BoREeFKSkpCVq1a1XLEiBHdq9ucOHHCql/fdNNNB8PC/hW9rrvuukORkZEuMjKyIi4urnznzp1h8+fPj16/fn1U79690yXp+PHjIW3btv3GEPPFF1987MEHH+w8duzYjsOGDSvJzc09cqr66rJ8+fKWzz777M7w8HBdffXVpXPmzIn90Y9+dHDx4sWxTz311E5JevHFF+P++Mc/tqmoqLC9e/eGr1mzpnl1YP7hD3948FTXfffdd6OnT5/e/vjx4yGHDh0Ky8jIOCapRJJGjBhxUJIuv/zyr++7775mkrR48eKYn/zkJ3vDw6sGkNu1a1e5fPny5p999lnkNddckypVjZrHx8cHbg6LnwjMAACczeoZCQ6ksLAwDRky5PCQIUMO9+rV69js2bPbFBcXNzt48GBIq1atPBMmTNg/YcKE/SkpKZmVlZUm/WsOc13XzM3NPfTII490fu+99zbv2bPnZE5JTU09/sknn0Rddtllx2qfk5+fH5ubm3syYLdt27a8rKws5OOPP45KSkoqkSTnnObNm1fYu3fvsprnfvTRRy2ioqK+MSIeERHhql+HhoaqoqLCJGnx4sWxeXl5hdXH0tLSjm3YsCHq888/D09LSztRWVmp6OjoirreX8uWLeu9j3PORowYsf/pp5/eVVcf9erVq+zTTz/d8Ne//jX25z//ecf333+/9MknnyyuWV9CQkJ5UVFRs+pziouLmyUmJpZv2LChWUJCwonmzZs7SRo1atSBp556qm2bNm0qs7KyjrZq1cqzadOmZk899VS7lStXboyPj68cPnx40vHjx08Oq0dHR//bXxCOHj1q99xzT+Inn3yyITk5uXzSpEkdap5Tfb+wsDBV/yycinPOkpOTj61evXpTXW2aAnOYAQBAg61ZsyZi3bp1J+cfr1q1KjI5Obnslltu2XfHHXd0OXr0qElV0yXKy8vrDEi1jR07dt+99977ZZ8+fb4RjB944IHd06dPT1i7dm2EJFVWVuo3v/lNvCR9+OGHMTfccMPJkdWYmJjKd99997OHH364Y35+frQkDRgwoHTatGntqufV/uMf/4hsyPvdv39/aGVlpdq3b39yJPrCCy88+vTTT28fOnRoclFRUXhcXJynU6dOJ1544YWTc4r/+c9/Nug+ubm5pfn5+a127doVJklfffVV6JYtW5rVbFNUVBQeHR3tGTdu3IFJkybtXr16dVTt+oYOHXropZdeau3xeLRo0aIW0dHRlYmJieVvvfVWbM1pMN/5zncOFxQURM2ePbvNzTfffECSDh48GBoZGemJi4ur3LFjR9jSpUtjVY+jR4+GSFL79u0rSkpKQv72t7+1qu+cgQMHlj733HNtqj8E+dVXX4X26tXr+IEDB8Lef//9FlLVXwJWrFjR3O8ODBBGmAEAQIOVlpaG3nXXXV1KS0tDQ0NDXVJSUtmLL764PS4urnLixIkd0tLSMlu0aOFp3ry5Z+TIkfsSExP9+rN69+7dyx966KE9tff37dv32BNPPLFj1KhR3Y4dOxZiZrr22mtLvvzyy7CIiAhP7XnTnTt3rnj77bcLBw8enBIVFVU0derUL8eMGdMlLS0tw+PxWOfOncuWLFlSWPs+dcnLy4u56qqr/m01iOuvv/7I448/vnPw4MEpixcv3vLKK69su/POOxOfeOKJhIqKCvvud7974FSj4nXJzs4+/tBDD+0aOHBgqsfjUXh4uJsxY8YXqampJ+cjr1y5MvKBBx7oFBISorCwMPfMM89sr13fzTffXPL222/HJiYm9oyMjPQ8//zzRZK0cOHC2JkzZ35R3S4sLEwDBw4smTdvXuvXXnutSJIuu+yyYz179jzavXv3ngkJCSeys7OP1Fd3mzZtKm+99da96enpmfHx8RW9e/f+ur5zJk6cuHfLli0RaWlpmWFhYe62227b+9///d9758yZs/Wuu+7qcvjw4dDKykobO3bsVzk5Ocf97cNAMOdc/a2CSE5OjluxYkVTlwEAQKMws5XOuZya+9asWVPUu3fvfXWdcz555pln4nbu3NlsypQpuwN5n5EjRyaOGTNm38CBA+sNgk3Bn/qOHTtml1xySdr69es3NmZtZ4s1a9a06d27d9KpjhGYAQAIYgRmoHH4CszMYQYAAAB8IDADAHD28Xg8Hr8/SAfAN+/vU53rhxOYAQA4+6zfu3dvLKEZOH0ej8f27t0bK2l9XW1YJQMAgLNMRUXFj3fv3v387t27e4rBL+B0eSStr6io+HFdDQjMAACcZbKzs/dIGtrUdQDnC/5VCgAAAPhAYAYAAAB8IDADAAAAPhCYAQAAAB8IzAAAAIAPBGYAAADABwIzAAAA4AOBGQAAAPCBwAwAAAD4QGAGAAAAfCAwAwAAAD4QmAEAAAAfCMwAAACAD/UGZjNrZ2Z/MLN3vdsZZnaHPxc3s1wz22xmhWZ2/ymOdzGzJWa2yszWmtl3Gv4WAAAAgMDxZ4T5j5IWSOrg3d4i6e76TjKzUElPSxosKUPSKDPLqNXsIUmvOecuknSLpGf8KxsAAABoHP4E5jbOudckeSTJOVchqdKP8/pIKnTObXPOnZA0R9KwWm2cpBjv61hJX/pVNQAAANBIwvxo87WZtVZVuJWZXSqpxI/zOkraUWN7p6S+tdr8QtJ7ZvZTSS0kDfLjugAAAECj8WeEeZKkPEndzewfkv4k6adn6P6jJP3ROddJ0nck/dnM/q0mMxtjZivMbMXevXvP0K0BAACA+tU7wuyc+9TMrpLUQ5JJ2uycK/fj2rskda6x3cm7r6Y7JOV67/NPM2suqY2kPbVqmCVpliTU6FwvAAAVJklEQVTl5OQ4P+4NAAAAnBH1BmYz+2GtXRebmZxzf6rn1OWSUsysq6qC8i2SRtdq84WkgZL+aGbpkppLYggZAAAAQcOfOcyX1HjdXFUB91NVTc2ok3OuwszGq2qFjVBJLzjnCszsUUkrnHN5ku6RNNvMJqpqjvTtzjlGkAEAABA0/JmS8Y35ymZ2gapWvKiXc+4dSe/U2vdwjdcbJPXzq1IAAACgCXybJ/19LanrmS4EAAAACEb+zGH+m7xLyqkqYGdIei2QRQEAAADBwp85zE/WeF0habtzbmeA6gEAAACCij9zmD9ojEIAAACAYFRnYDazw/rXVIxvHJLknHMxpzgGAAAAnFPqDMzOuejGLAQAAAAIRv7MYZYkmVlbVa3DLElyzn0RkIoAAACAIFLvsnJmNtTMPpP0uaQPJBVJejfAdQEAAABBwZ91mB+TdKmkLc65rqp60t/HAa0KAAAACBL+BOZy59x+SSFmFuKcWyIpJ8B1AQAAAEHBnznMh8yspaQPJb1kZntU9bQ/AAAA4JznzwjzMElHJU2UNF/SVkk3BLIoAAAAIFj4M8L8n5Jedc7tkvRigOsBAAAAgoo/I8zRkt4zs7+b2XgzaxfoogAAAIBgUW9gds790jmXKem/JCVI+sDM3g94ZQAAAEAQ8GeEudoeSbsl7ZfUNjDlAAAAAMHFnweXjDOzpZIWSWot6U7nXK9AFwYAAAAEA38+9NdZ0t3OudWBLgYAAAAINvUGZufcA41RCAAAABCMGjKHGQAAADjvEJgBAAAAH3wGZjMLNbMljVUMAAAAEGx8BmbnXKUkj5nFNlI9AAAAQFDxZ5WMI5LWmdlCSV9X73TO3RWwqgAAAIAg4U9gft37BQAAAJx3/FlW7kUzi5TUxTm3uRFqAgAAAIKGP0/6u0HSaknzvdsXmlleoAsDAAAAgoE/y8r9QlIfSYckyfvEv24BrAkAAAAIGv4E5nLnXEmtfZ5AFAMAAAAEG38+9FdgZqMlhZpZiqS7JC0LbFkAAABAcPBnhPmnkjIllUl6WVKJpAmBLAoAAAAIFv6MMP+Hc+5BSQ9W7zCzEZLmBqwqAAAAIEj4M8L8gJ/7AAAAgHNOnSPMZjZY0nckdTSzGTUOxUiqCHRhAAAAQDDwNSXjS0krJA2VtLLG/sOSJgayKAAAACBY1BmYnXNrJK0xs5e97Rr8pD8zy5X0e0mhkp53zk09RZubVbXWs5O0xjk3uiH3AAAAAALJnznMufoWT/ozs1BJT0saLClD0igzy6jVJkVV86H7OecyJd3dsPIBAACAwPq2T/rr6sd5fSQVOue2OedOSJojaVitNndKeto5d9B77T1+1g0AAAA0im/7pD/nx3kdJe2osb3Tu6+mVEmpZvYPM/vYO4UDAAAACBpN/aS/MEkpkq6W1EnSh2aW5Zw7VLORmY2RNEaSunTpcoZuDQAAANSvoU/6e0VSqfyba7xLUuca2528+2raKSnPOVfunPtc0hZVBehvcM7Ncs7lOOdy4uPj/bg1AAAAcGbUG5idc0edcw865y7xhtYHnXPH/bj2ckkpZtbVzJpJukVS7Q8Lvqmq0WWZWRtVTdHY1qB3AAAAAARQvVMyzCxH0n9LSqrZ3jnXy9d5zrkKMxsvaYGqlpV7wTlXYGaPSlrhnMvzHrvOzDZIqpR0n3Nu/7d9MwAAAMCZZs75/vyemW2WdJ+kdZI81fudc9sDW9qp5eTkuBUrVjTFrQEAaHRmttI5l9PUdQDnM38+9LfXOxoMAAAAnHf8CcyPmNnzkhap6oN/kiTn3OsBqwoAAAAIEv4E5h9JSpMUrn9NyXCSCMwAAAA45/kTmC9xzvUIeCUAAABAEPJnHeZlZpYR8EoAAACAIOTPCPOlklab2eeqmsNsklx9y8oBAAAA5wJ/AnNuwKsAAAAAglS9gbl6vWUzayupecArAgAAAIJIvXOYzWyomX0m6XNJH0gqkvRugOsCAAAAgoI/H/p7TFXzmLc457pKGijp44BWBQAAAAQJfwJzuXNuv6QQMwtxzi2RxCM6AQAAcF7w50N/h8yspaQPJb1kZnskfR3YsgAAAIDg4M8I8zBJRyVNlDRf0lZJNwSyKAAAACBY+BxhNrNQSfnOuQGqeiz2i41SFQAAABAkfI4wO+cqJXnMLLaR6gEAAACCij9zmI9IWmdmC1Vj7rJz7q6AVQUAAAAECX8C8+veLwAAAOC848+T/pi3DAAAgPNWvYHZzFIkPS4pQzUeje2c6xbAugAAAICg4M+ycv8raaakCkkDJP1J0l8CWRQAAAAQLPwJzJHOuUWSzDm33Tn3C0n/EdiyAAAAgODgz4f+yswsRNJnZjZe0i5JLQNbFgAAABAc/BlhniApStJdkrIl/UDSbYEsCgAAAAgW/qySsVySvKPMdznnDge8KgAAACBI1DvCbGY5ZrZO0lpVPcBkjZllB740AAAAoOn5M4f5BUnjnHN/lyQz66+qlTN6BbIwAAAAIBj4M4e5sjosS5Jz7iNVLTEHAAAAnPP8GWH+wMyek/SKJCdppKSlZnaxJDnnPg1gfQAAAECT8icw9/Z+f6TW/otUFaCvOaMVAQAAAEHEn1UyBjRGIQAAAEAw8mcO80lmlh+oQgAAAIBg1KDALKljQKoAAAAAglRDA/OqgFQBAAAABCmfgdnMQs3spept59z/C3xJAAAAQPDwGZidc5WSEs2sWSPVAwAAAAQVf5aV2ybpH2aWJ+nr6p3Ouen1nWhmuZJ+LylU0vPOual1tBsuaZ6kS5xzK/wpHAAAAGgM/gTmrd6vEEnR/l7YzEIlPS3pWkk7JS03szzn3IZa7aIlTZD0ib/XBgAAABqLP+sw/1KSzCzKOXe0AdfuI6nQObfNe/4cScMkbajV7jFJT0i6rwHXBgAAABpFvatkmNllZrZB0ibvdm8ze8aPa3eUtKPG9k7VWpbO+3jtzs65t+upYYyZrTCzFXv37vXj1gAAAMCZ4c+ycr+TdL2k/ZLknFsj6crTvbGZhUiaLume+to652Y553Kccznx8fGne2sAAADAb36tw+yc21FrV6Ufp+2S1LnGdifvvmrRknpKWmpmRZIulZRnZjn+1AQAAAA0Bn8+9LfDzC6X5MwsXFUf0Nvox3nLJaWYWVdVBeVbJI2uPuicK5HUpnrbzJZKupdVMgAAABBM/Blh/omk/1LV/OMvJV3o3fbJOVchabykBaoK2K855wrM7FEzG/rtSwYAAAAajznnmrqGBsnJyXErVjAIDQA4P5jZSucc0xWBJuTPKhndzOxvZrbXzPaY2Vtm1q0xigMAAACamj9TMl6W9JqkBEkdJM2V9EogiwIAAACChT+BOco592fnXIX36y+Smge6MAAAACAY+LNKxrtmdr+kOZKcpJGS3jGzOElyzh0IYH0AAABAk/InMN/s/f6ftfbfoqoAzXxmAAAAnLPqDczOua6NUQgAAAAQjPxZJWOlmY0zswsaoyAAAAAgmPjzob+RqnpoyQozm2Nm15uZBbguAAAAICjUG5idc4XOuQclpapqibkXJG03s19Wf/APAAAAOFf5M8IsM+slaZqk30r6q6QRkkolLQ5caQAAAEDTq/dDf2a2UtIhSX+QdL9zrsx76BMz6xfI4gAAAICm5s+yciOcc9tOdcA5d9MZrgcAAAAIKv4E5l1mNlpSUs32zrlHA1UUAAAAECz8CcxvSSqRtFJSWT1tAQAAgHOKP4G5k3MuN+CVAAAAAEHIn1UylplZVsArAQAAAIJQnSPMZrZOkvO2+ZGZbVPVlAyT5JxzvRqnRAAAAKDp+JqSMaTRqgAAAACCVJ2B2Tm3vTELAQAAAIKRX0/6AwAAAM5XBGYAAADABwIzAAAA4AOBGQAAAPCBwAwAAAD4QGAGAAAAfCAwAwAAAD4QmAEAAAAfCMwAAACADwRmAAAAwAcCMwAAAOADgRkAAADwgcAMAAAA+EBgBgAAAHwgMAMAAAA+BDQwm1mumW02s0Izu/8UxyeZ2QYzW2tmi8wsMZD1AAAAAA0VsMBsZqGSnpY0WFKGpFFmllGr2SpJOc65XpLmSfpNoOoBAAAAvo1AjjD3kVTonNvmnDshaY6kYTUbOOeWOOeOejc/ltQpgPUAAAAADRbIwNxR0o4a2zu9++pyh6R3A1gPAAAA0GBhTV2AJJnZ9yXlSLqqjuNjJI2RpC5dujRiZQAAADjfBXKEeZekzjW2O3n3fYOZDZL0oKShzrmyU13IOTfLOZfjnMuJj48PSLEAAADAqQQyMC+XlGJmXc2smaRbJOXVbGBmF0l6TlVheU8AawEAAAC+lYAFZudchaTxkhZI2ijpNedcgZk9amZDvc1+K6mlpLlmttrM8uq4HAAAANAkAjqH2Tn3jqR3au17uMbrQYG8PwAAAHC6eNIfAAAA4AOBGQAAAPCBwAwAAAD4QGAGAAAAfCAwAwAAAD4QmAEAAAAfCMwAAACADwRmAAAAwAcCMwAAAOADgRkAAADwgcAMAAAA+EBgBgAAAHwgMAMAAAA+EJgBAAAAH8KauoCm9Mu/FWjDl6VNXQYA4ByS0SFGj9yQ2dRlADiDGGEGAAAAfDivR5gZAQAAAEB9GGEGAAAAfCAwAwAAAD4QmAEAAAAfCMwAAACADwRmAAAAwAcCMwAAAOADgRkAAADwgcAMAAAA+GDOuaauoUHMbK+k7Wfwkm0k7TuD1ztf0Y+njz48ffThmUE/nr4z2YeJzrn4M3QtAN/CWReYzzQzW+Gcy2nqOs529OPpow9PH314ZtCPp48+BM4tTMkAAAAAfCAwAwAAAD4QmKVZTV3AOYJ+PH304emjD88M+vH00YfAOeS8n8MMAAAA+MIIMwAAAODDeR2YzSzXzDabWaGZ3d/U9QQrM3vBzPaY2foa++LMbKGZfeb93sq738xshrdP15rZxU1XefAws85mtsTMNphZgZlN8O6nHxvAzJqb2f+Z2RpvP/7Su7+rmX3i7a9XzayZd3+Ed7vQezypKesPJmYWamarzCzfu00fNoCZFZnZOjNbbWYrvPv4fQbOUedtYDazUElPSxosKUPSKDPLaNqqgtYfJeXW2ne/pEXOuRRJi7zbUlV/pni/xkia2Ug1BrsKSfc45zIkXSrpv7w/b/Rjw5RJusY511vShZJyzexSSU9I+h/nXLKkg5Lu8La/Q9JB7/7/8bZDlQmSNtbYpg8bboBz7sIay8fx+wyco87bwCypj6RC59w259wJSXMkDWvimoKSc+5DSQdq7R4m6UXv6xcl3Vhj/59clY8lXWBmCY1TafByzhU75z71vj6sqqDSUfRjg3j744h3M9z75SRdI2med3/tfqzu33mSBpqZNVK5QcvMOkn6D0nPe7dN9OGZwO8zcI46nwNzR0k7amzv9O6Df9o554q9r3dLaud9Tb/Ww/sn7YskfSL6scG8UwlWS9ojaaGkrZIOOecqvE1q9tXJfvQeL5HUunErDkq/k/QzSR7vdmvRhw3lJL1nZivNbIx3H7/PwDkqrKkLwNnPOefMjOVW/GBmLSX9VdLdzrnSmgN19KN/nHOVki40swskvSEprYlLOquY2RBJe5xzK83s6qau5yzW3zm3y8zaSlpoZptqHuT3GTi3nM8jzLskda6x3cm7D/75qvpPit7ve7z76dc6mFm4qsLyS86517276cdvyTl3SNISSZep6k/c1QMANfvqZD96j8dK2t/IpQabfpKGmlmRqqaiXSPp96IPG8Q5t8v7fY+q/uHWR/w+A+es8zkwL5eU4v1keDNJt0jKa+KaziZ5km7zvr5N0ls19v/Q+6nwSyWV1PgT5XnLO+fzD5I2Ouem1zhEPzaAmcV7R5ZlZpGSrlXVfPAlkr7nbVa7H6v793uSFrvzfPF559wDzrlOzrkkVf1/b7Fz7lbRh34zsxZmFl39WtJ1ktaL32fgnHVeP7jEzL6jqrl8oZJecM79uolLCkpm9oqkqyW1kfSVpEckvSnpNUldJG2XdLNz7oA3GD6lqlU1jkr6kXNuRVPUHUzMrL+kv0tap3/NG/1vVc1jph/9ZGa9VPVhqlBV/YP/Nefco2bWTVWjpXGSVkn6vnOuzMyaS/qzquaMH5B0i3NuW9NUH3y8UzLudc4NoQ/95+2rN7ybYZJeds792sxai99n4Jx0XgdmAAAAoD7n85QMAAAAoF4EZgAAAMAHAjMAAADgA4EZAAAA8IHADAAAAPhAYAbOAmaWZGbrA3yPoWZ2v/f1jWaWcQavfaF3Gcd/uxcAAMGOwAxAkuScy3POTfVu3iipQYG5xlPiTuVCSScDc617AQAQ1FiHGTgLmFmSpHclfSTpclU9VneYc+6YmS1V1YMmrpDUQtIPJT0gKUvSq865h7zX+KGkeyU5SWudcz+odY/bJeVIellSvqQS79dwb5OnJcWr6sELdzrnNpnZHyUdV9VDLf6hqgdf/F5Sc0nHJP1I0ueSCiVFeut+3Ps6xzk33vveXlDVg3H2quqhDl94r13qram9pJ855+Z9+14EAODb8TUiBCC4pEga5Zy708xeU1WQ/Yv32AnnXI6ZTVDV43izVfVUtq1m9j+qCpwPSbrcObfPzOLquolzbpmZ5UnKrw6oZrZI0k+cc5+ZWV9Jz0i6xntKJ+91K80sRtIVzrkKMxskaYpzbriZPSxvQPZe7/Yat/z/JL3onHvRzP6fpBmqGuGWpARJ/SWlqerxwgRmAECjIzADZ4/PnXOrva9XSkqqcSzP+32dpALnXLEkmdk2SZ1VNfo81zm3T5Kccwf8vamZtVTVqPbcqif8SpIiajSZ65yr9L6OlfSimaWoaiQ73I9bXCbpJu/rP0v6TY1jbzrnPJI2mFk7f2sGAOBMIjADZ4+yGq8rVTWtofYxT612Hp3+73mIpEPOuQvrOP51jdePSVrinPuud6rF0tO8d833YnW2AgAggPjQH3B+WCxphJm1liRfUzK8DkuKliTnXKmkz81shPdcM7PedZwXq6p5ypJ0+6mudwrLJN3ifX2rpL/XUxsAAI2KwAycB5xzBZJ+LekDM1sjaXo9p8yRdJ+ZrTKz7qoKsnd4zy2QNKyO834j6XEzW6VvjmwvkZRhZqvNbGStc34q6UdmtlbSDyRNaMh7AwAg0FglAwAAAPCBEWYAAADABwIzAAAA4AOBGQAAAPCBwAwAAAD4QGAGAAAAfCAwAwAAAD4QmAEAAAAfCMwAAACAD/8/YgRrfee8PFQAAAAASUVORK5CYII=\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "hyperparameters = ['SGPMC/kern/kernels/0/lengthscales',\n", " 'SGPMC/kern/kernels/0/variance']\n", "\n", "plt.figure(figsize=(8,4))\n", "for i, col in samples[hyperparameters].iteritems():\n", " plt.plot(col, label=col.name)\n", "plt.legend(bbox_to_anchor=(1., 1.))\n", "plt.xlabel('hmc iteration')\n", "plt.ylabel('hyper-parameter value')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "## Fully Bayesian inference for generalised GP models with HMC" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You can construct very flexible models with Gaussian processes by combining them with different likelihoods (sometimes called 'families' in the Generalised Linear Model literature). This makes inference of the GP intractable because the likelihoods are not generally conjugate to the Gaussian process. The general form of the model is: \n", "$$\\theta \\sim p(\\theta)\\\\f \\sim \\mathcal {GP}(m(x; \\theta),\\, k(x, x'; \\theta))\\\\y_i \\sim p(y | g(f(x_i))\\,.$$\n", "\n", "\n", "To perform inference in this model, we'll run MCMC over the function values and the parameters $\\theta$ jointly, using Hamiltonian Monte Carlo (HMC). The key to an effective scheme is rotation of the field using the Cholesky decomposition. We write:\n", "\n", "$$\\theta \\sim p(\\theta)\\\\v \\sim \\mathcal {N}(0,\\, I)\\\\LL^\\top = K\\\\f = m + Lv\\\\y_i \\sim p(y | g(f(x_i))\\,.$$\n", "\n", "Joint HMC over $v$ and the function values is not widely adopted in the literature because of the difficulty in differentiating $LL^\\top=K$. We've made this derivative available in TensorFlow, and so application of HMC is relatively straightforward. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Exponential Regression\n", "We consider an exponential regression model: \n", "$$\\theta \\sim p(\\theta)\\\\f \\sim \\mathcal {GP}(0, k(x, x'; \\theta))\\\\f_i = f(x_i)\\\\y_i \\sim \\mathcal {Exp} (e^{f_i})$$\n", "\n", "We'll use MCMC to deal with both the kernel parameters $\\theta$ and the latent function values $f$. First, generate a dataset:" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "X = np.linspace(-3,3,20)\n", "Y = np.random.exponential(np.sin(X)**2)\n", "\n", "plt.figure()\n", "plt.plot(X,Y,'x')\n", "plt.xlabel('input $X$')\n", "plt.ylabel('output $Y$')\n", "plt.title('toy dataset')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "GPflow's model for fully Bayesian MCMC is called GPMC. It's constructed like any other model, but contains a parameter `V` which represents the centered values of the function. " ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [], "source": [ "gpflow.reset_default_graph_and_session()\n", "\n", "with gpflow.defer_build():\n", " k = gpflow.kernels.Matern32(1, ARD=False) + gpflow.kernels.Bias(1)\n", " l = gpflow.likelihoods.Exponential()\n", " m = gpflow.models.GPMC(X[:,None], Y[:,None], k, l)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The `V` parameter already has a prior applied. We'll add priors to the parameters also (these are arbitrary, for illustration). " ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [], "source": [ "m.kern.kernels[0].lengthscales.prior = gpflow.priors.Gamma(1., 1.)\n", "m.kern.kernels[0].variance.prior = gpflow.priors.Gamma(1., 1.)\n", "m.kern.kernels[1].variance.prior = gpflow.priors.Gamma(1., 1.)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Running HMC is pretty similar to optimising a model. GPflow only has HMC sampling for the moment, and it's a relatively vanilla implementation; for example, No U-Turn Sampler (NUTS) is not implemented.\n", "\n", "There are two things to tune, the step size (epsilon) and the number of steps $[L_{min}, L_{max}]$. Each proposal takes a random number of steps between $L_{min}$ and $L_{max}$, each of length $\\epsilon$. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We initialise HMC at the maximum a posteriori (MAP) parameter value." ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [], "source": [ "m.compile()\n", "o = gpflow.train.AdamOptimizer(0.01)\n", "o.minimize(m, maxiter=notebook_niter(15)) # start near maximum a posteriori (MAP)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We then run the sampler:" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [], "source": [ "s = gpflow.train.HMC()\n", "samples = s.sample(m, notebook_niter(500),\n", " epsilon=0.12, lmax=20, lmin=5, thin=5, logprobs=False)#, verbose=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Then we compute the posterior prediction on a grid for plotting purposes:" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [], "source": [ "xtest = np.linspace(-4,4,100)[:,None]\n", "f_samples = []\n", "for i, s in samples.iterrows():\n", " f = m.predict_f_samples(xtest, 5, initialize=False, feed_dict=m.sample_feed_dict(s))\n", " f_samples.append(f)\n", "f_samples = np.vstack(f_samples)" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(-0.1, 5.791237916968663)" ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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ZJWWjAreiVEE4kSWRsxs2cBuaIJFV1ZPlogK3olSY40iOhJK0eIvpOFGfAl6DobEMWTXrLgsVuBWlwsKJLGnTatjZNri53ABD0UyVR9KYVOBWlAqyHcmRUII2n7faQym79iYvJ0ZSDZ09Uy0qcCtKBQVjGbKWg9do/Jeergmc/CasUlqNf/UoSo2IZ0wODsdp83uqPZSKafN76I8kVU53ianArSgVkDFtXhocI+AxGup8ybkYuoblSIKxbLWH0lAWzxVUB6SUDIykSKo0qoZi2g57T44hgCZv425IzqTN7+FoJNGQx7RViwrcNcKyHfafjvHKqTFOj6WrPRylhI6GEiSzFq2LaIlkIo+uYduSU6Pqui4VFbhrQMa02TMYJZTIsqytiaGxDLZqidkQpJQE41namxo/i2Q27U1ejkWSZEyV110KKnBXmZSSfafGyJgOXQGf28vYkcTSZrWHppRA1nJwHDme17xY6ZrAo2scjySrPZSGoAJ3lUUSWcbS1qRMA5+uc3pMpVA1AjXDPKPVZ3AqmiGWUZOSc6UCdxXZjqQvlKTFN7n0OeDTCcYzajOnAaSyNqKBOwDOhxCCJo/OsbCadZ8rFbirKBjLkJ6m0VCh1edoMleNYSklFMuYiyr9by7NXp1oKteQed3pnM1IMoeU5d+fatwuNzXOtB2OhBO0N02fadDk0TkVTbOkzV/hkSmlFE2b+BZBlWSxhBBICcmcTXtT/T8vjiPpH0kyNJYhZ0kcKdm6vrvsfWjq/5mrU6ejaSxbzjgbC3gNomlTrZHWMct2yJi2mnFPoSHqYvNdSjlrTYXjSA4OxzkWSuEzdLqavRU7GENdUVVyMpqes/RZ4C6nKPUprd50p9Xk1QknaruS0nYkB4biPHMswlD07PxzKSWHg3GGxjL0tHgr/uasAncVpHM2WcuZ85fd3uSlP6K6q9WrjKl+b9PxGRqxjFkz69zRVI7dJ0YJJ7LYjiRnuZWuw7EMnU1eXhmKMTiaGr99KmfRF0xwaixNd7O3KpvPNbXG7TiSlGmflWXRaIo9GaTQXe1UNM26nuYyj0optXjGxNDU3GgqIQTUyDp3xrTZe2oMIQV7T45haAJD0zAdh+5mHwDdAR+HhuLEMxaJjEkyZyPyf1+tjKGauqoyls2+U7GGX9eNJLL49OI2L9xZd1KdJFKH1MbkzEQNrHMXljsEgrYmD93NPpq9Brom6JhQ6aprgu4WH5FEDiEE3c0+upqrF7ShiMAthFgthNgphNgnhHhFCPH75RxQNJVr6OoqKSXhRK7oZkO6JhBCcFL1eagrUkqSGWtR9N1eiCavTqjK69yDo2lC8eykvSZD16bNCNGEoL3Jg8+ojSZhxVxVFvBHUspNwLXAx4QQm8o1IK+ucSqaZixV+7vOC5HK2diOM68S6Da/hxMjqYb/JNJIspaDLWXFsgzqjc/QiFdxnTueMekLJugK+Kry+OdqzsAtpTwtpXwh/+c4sB9YWa4BCQHNXoPDw3GcBmy0lMiYzPdfpWsCXQgGRlJz31ipCen8OmgtenTvab71TH9FCkVmMr7Ona38ZERKyaHhOAGvXrc9ZOb1OU4IsQ64Cnhmmu99VAixSwixKxQKndOgAl6DeNZicDRFMJ7heDjJsXDinO6zVoQTOfwL+LjV1uRhcDRd9MamUl3JnIWowdCdyln8+5NH+fZzA/QFq/uaEkJUpW9JKO72Bwp46zcJoujALYRoAb4H/E8pZWzq96WUX5JSbpFSbunt7T3ngXU0eTgaTrLvVIzB0TT9kfpfKnAcyUgyt6CqKk0IfIbG0VCi7DMlKSXHQgnSufp+vqtpLGXi89Te+vaewbHxlsFPHY1UdSxNHp1gvLLr3KbtcCgYp2OGiuV6UdSVJYTw4Abtb0opv1/eIbkMXaO72Ud3s4/2Jg+S+m91msxZ2OfQ4rPV7yGcyBIt8/r/qWiGQ8EEB4ZiDblcVW5SSqJpE28NVky+eGJ0/M+/PhKp6nJJYZ27knUKg6MpbGfmiuV6UUxWiQC+DOyXUv5T+Yc0vSbDqPi7c6nF0xbnulfV6vNwqIzr/4msxaHhOEtb/YylTfpHGjfDp1zSpo1pORg1GBxePBEFQBNu9e6JKu6bFNLp4hVYLpFSMpYyOR5O0e6v/0MtirmyrgPeA9wghNid/+9NZR7XWZq8OiPJ2u8qJqXkeDh51ixCSkkokT3n5jN+j04qZzM4mi75bMmyHfadGhvftOkMeDkWThFNqS6F8xFLm9Tg8janommGYhlafAav37AEcGfd1eTTy7tcYtkOp6Npdh0f4YUTI3W9ITlRMVklv5RSCinl5VLKK/P//VclBjeRJtwqwlrfnMtaDkdCCV4ajI4XzTiOm+gfSeZoKkHXsM6AlyOhOH3BREln3sfDSdI5e3zTRhOCVp/BK6diqux+HoZj2ZL8nkutsExyxeoOfuOCHgB+fSRczSG5fUvi2bJ9gjwcTLB/KIYQgp4Wf11vSE5Ue5/lZmFoGpFEbc/+MqaNoQmylsPLA2Okczb7T8c4Fc3QU6K+BrrmVm8NjqZ5+eRYSYJqPGNyYiRFZ2Dyx0i/R8e0HcJ1vkxVKZbtEE2X5g261F7IL5NsXtPBFas7CHh1jkdSnJqmiVKl6JrAlpJ4GSZkYymT02Npepp9NVM4Uyp1FbgDXvdkmGpuqMylcOJJm99D1nZ45liEcCJLd4lLZN0ZhI9YxuT5/pFzLlg6Fk7S5DGmHWOrz8PAaKqmn/dakchaSEnNnXpj2g4vnxwDYPOaTjy6xqvWdQHVzy7RhSj5oSGOIzk8HKfZO/01Xe/qKnB7dI2s6ZCq4TS1aCY3nk3Q5vfQ5vfQ1Tx9ddYD999LJHwm5z0SDvHA/ffO6/E6mrwYmsbzJ0Y5Gkos6HT4aCpHOJGjxT/9x0ivoZE2bWKZ2l6mqgUjyVxNNpY6cDpG2rRZ3RWgp8W9Hl+zvhuo/nJJs89gqMTti0PxLPFsfedqz6b2rrC5CCbNLmtt7TWWntyfYqa0owfuv5fPfOoTfPiu24iEQ0TCIT5812185lOfmHfw9nt0upu9nBhJ8eyxCKdG00U/L1JK+oYTNM/RO8WjaQyNqX4pcwnGsgSK7ENTSePLJKs7xv9u85pOvIbGoeEEv+qrXvD26BoZ0yaVK83EwLQdDofiM54u1QjqLnAHPAanY2kGRlI8dyzCr/rCHBqujc2z+Zx4cvP2O1h/0UaOHDrAnTdt5c6btnLk0AHWX7SRm7ffMe/H1vJdy7y6zqFgnKeOhukvollXKJ4lVsTMpMVv5I9nqv7zXKvSOZuMVZsn3rw44G5Mbl7TOf53fo/O265yu1f8w08P8MTBYFXGVlCqOo2BkdSsp0s1grr7HOH3aISTWVJZmyavO9McHssSjGW5aGkrva3Va7eYmUdQ6+7p5b4HH+bOm7YyGnFnO53dPdz34MN09yy88tRraHQbPvcE+WCCjiYv7YEzM49UzmLPiSim46BrGjnLoW2GJZKJNCGQwGgyy9L2pgWPr5FVIh95IfqCCY6EkvgMjUtWtk363juvWYMDPPjcAP+04xAZ0+GWS5ZW/DUU8BicHsuw7ByvrUTWoj+Soqu5/nO1Z1N3b0lCCHpb/HQEvPgMHSEEHQEvAa+btvbssRGCsUxV8r1rqURc1wStPg8HhmLj6962I9l/Oga4/YabvQad+eexGM1egxMjapNyJsF4baYBfvOZfgDedNnys37XQgje/eq1vHfrWiRwzxN9/Mn3XuLZYxGcCv6e/R6NaOrczlgtNI/ye/SG78pYd4F7Jh5do6fFh64J9p2O8fTRCIOjqYoG8PmceFJY0x6NhOns7qGzu4fRSHh8zbsUmrxusc7J/LFL/ZEksbRFi9/dadc1Ma9iBL9HJ5G11CblNM6lD005HRiKsat/FL9H422bV814u3dcvZqPb7uAVp/BgaE4n/7xfj7+rRf45jP99AXL3x9HCIEQ7iEjCzU8lmEsZTb8CVrQQIG7wGfo4ydZ9AUTPJ3frKtEz41YpvgTT3Y88sPxNe3vP/YU33/sqfE17x2P/LBkY3KLdZKciqY5Hkme80dIv8fgeFiVwU+VNm1kDfbf/tYzJwC47fIVc27W3XLJMr78vlfxoevPo7vZy8BomgeeG+APvrObD31t16RzF8vBTTtdWEVw1rI5HEo09IbkRA371lRoUmXaDvuH3GaGKzrLtzYrpSSeseY8ub3g7vd/BHA3KQtr2vc9+DA7Hvnh+PdKQdcEfkPnlVNjdAa85xxYWnwGoUSWaCpHR6Cx1xHnI5Wz591nvdxeOTXGiwNRmjw6d1xZXAv9Jq972zdftpw9g1GePTbC00cjhOJZduwb5gPXnVe28XoNjVjCJJ4t/nUE7qedI/kWtY28ITlRw/8rPbrm9tyIJMu6bJK1HGx7fjOuu9//kUkbkd09vSUN2gUtfoPeFn/JqsdavAZ9w+X/+FxPoqlcTXUDlFLyzfxs+/YrV9DW5JlX3YBH19iytov/7/UX8IlbNgJuoU65f+ceXWN4rPicbiklR0MJhmPZSedENrraudLKyKO72RPBWPnKtjOmfc6d/8qplI11mrw68ZxFuMpnBtaS0Rpb33507xAvnxyj2adz+5Urz6luYNPyNtr8btZHubsJtvjcxyl2kjUwkuLEaIruBs8imWpRBG6A9iYPRyOJss26C6Xui0Wrz+BIKLmgSs1GY9oOqSLz9yuhL5jg3l8cBeB3X3cBLT7jnOoGdE1wzXluefzTx0bKOnZdc5vJjSRzOI5kKJrm6SPuPtXE2b7jSE6Npjkccs+NXEyvPVhEgduja1i2LNusO5Yxa+aFWwk+Qydj2rxyaqxm85crpZZaMCSyFn//k/1YjuSNly7jdRe5S3GFuoFC9lIhm6nYuoGt57vl8U9XoA1sk0fnxGiK546PcGA4jq4JDgzHefnkGBnTZiSZ4/n+EQ4Ox+lq8jZEm9b5WjyRBrd3SLlm3WPp4jNKGkV3s49kxua5YyMcGIrV/dFyC5XMWDXRfjuayvHZnx1kOJZlfW8zH77+/JLd9xWrO/AZGn2hBKEyd4oMeA0SGWu8Gtjv0elt8RHPWDx1JMKegVHAbbJWi4dVVMKi+ld7dA3bkew+EWUkmSvZRkvOqq2PypXU4jfoafERjGXZe2qs5g+6KIfRVK6qbUP7I0k+/9+H+eBXn2NX/yjNXp0/u/XiST1zzrVuwGfo4+XyT1egm2AhYE/U5vfQ3eylp8VfU/sJ1bDoIk1XwIcjYc/AKC8OREmWoA/wcCyz+J7ICYRwT8tJZiz6KnCYcS2RUjKaMqsWSH6yd4jfe+BFduwfxrIl16zr4m/uuIxl7f5JtytF3cDWfDfBp49Vrw3sYlvLnknD5nHPpsmr0+R1qwBfODHKVWs6F1xtlbMcjkeS88o7bVSdAS+nomnafJ6y5szXkqzlYNlOWdZZ+yNJvvnMCa49v4vXb1gyKdVUSskDzw3wrWfdlL9bLlnGnVetZEXH9M97KeoGXrW2C10T7D05Rixt0rZIil1q0aIM3AUtPoN0zubF/lGuXNNB6wKC79CYW5W5WNfaJhJC0BXwcXA4TkuTsSjezFI5uyznS8bSJv/nkX0E41meOhrh0b1D/PZr19Pd7GUwmmbnwSA79g2jCTdz5NZLl815n1MD9HzrBlr8BpetbGf3QJRnjkW4edPcj6mUx6IO3ODOvgF2n4hy1dr5zbxzlkP/SIr2RZT4P5dCpebgSIpNK9qrPZyyi6VN9BJ/fLcdyT/89ADBeJbVXQHiGZMDQ3H+4Du7J93Oows+8YYNbF3fU9LHn81rL+xh90CU/3p5iJsurnwXQcWlpom4wdujaxwajs9rfbYw216M6UizCfh0woncotioHEmVvvDmq08dZ8/gGB1NHv76tkv44m9dzR1XrsCjC5p9OhuWtnLjxiX83Vsvr2jQBnjtRb20+gz6QgkODsUr+tjKGYt+xl3Q7DMIJzJEUyadRVRhmbaabc9EE24RRTxjFfVc1qusZRPPmHSW8Bp45liEH7x4El0T/OmtG+ltdY8Z+9D15/P+15yHJqq7QeczdG65ZBnffWGQh186xcblbXP/kFJyasY9QbPXw5FwcVnvs/PQAAAgAElEQVQR4XgWxyltKXkj8eoawXhpzxGsJVK6jY00IUoaSB/aNQjAe69dy6UrJy816VppH2uh3njZMjQBvzoSOac2rMrCqcA9QZNXJ562GJ3jxHTHkfRHUoui7+9sZmtaFPAahOLZhi2JD8WzDMcyJW1sdCyc5OBwnIBX502XLS/Z/ZbaklY/W8/vxnYkj+4dqvZwFiUVuKdo8RkcCcZn7d89ljZJm/akAofFZq6mRbomMG1JogEPXUjnbA4MxUq+TPaTV9wguG3DkpovMLntihWAO2Z1DmnlLd7IMwO/RyeetYkkZ/4IODCaqskjqiqpmKZFHl0jlGis5RLHcY/H0oVW0krZdM5m5wH3sN5bL6n9NLtNy9s4v7eZsbTJk4dLc2KTUjwVuKfR7vdwcChO1jq790YqZzGSyBHwliZwJ7MWe0+OVfR8v1IopmlRi89gaCxbkdOHKqHQ+3kkmSt58cmTh0OkTZuLl7Wyrqe5pPddDkIIbrssP+tWyyUVpwL3NApLIIenSQ88Hc2g66XZJHKk5H//6BU++YOX+asfvdJwGz26JrAch0SuMZZLBkfTZev9XFgmKaaQplZcf2EPzV6dg8NxjoUT1R7OojJn4BZCfEUIERRC7K3EgGpFe5OXYCzH0ITTOFI5i5PRNK2+0sy2dh4IcnDYzYV9cSDK//j2i/yqL1yS+y63YpsW6UIQKuMBFpUSjGU4FIyXpfdzXzBBXzBBi8/gugsqm5d9LvwenW0blgCoTcoKK2bGfT9wa5nHUZM6Ax4ODscJxjK8PBjlmaMjePT5nYw+k1TO4qtPHQfgA69Zx+Y1HcSzFn//kwM8nl/rrGXFNi1q9Xs4GU3X9QbWWMrklVMxOsvU+/mRl04BcMPGJVXtMrgQhU8ITxwMka6hvuSNbs58Ninlk0KIdeUfSu0xdM09aPd0jCZDp7vZW7LZ1kO7BhlNmVy0tIU7rlrJW69ayXdfGORrT/XzxZ8f4eLlrSxvr91GTcU2LdI1gZSSYDzDqs5AVcZ6LlI5i5cGo7T4jLK07Q3GMjxxKIQm4M01nAI4k7XdzVy8vI39p2M8eTjELXWwsdoISnYlCiE+KoTYJYTYFQo1zi5zs8+gp9lHs88oWdAeGsvww90nAfjIb5w/XsTx9s2ruO6CHtKmzWd/dqjmS8aLPey41e/heDhVdzndWcvmpcExPLpWtvS87714EtuRvPbC3hk7+9W6QhaM2qSsnJIFbinll6SUW6SUW3p75z4KabGyHcm//bwPy5Fs29DLxmVnSoaFEHz89RfQ0+J22HvguYEqjrR0PLqGaTtzbr7ajmRgJMWu/pGqv2nZjmT/6Ti2I2kuU6HVSDLHjn1usHv71avK8hiVcN0F3bTk+5f0BdUmZSWorJIK+9pTx3nhhPvR+31b1531/Ra/wR/efBECeOj5Ab77/OC0aYn1ptVvcCycnLGdwFjK5Pn+EfqCCeJpi6FYdfO/j4USjKayZW1N+8PdJzFtydbzu1nbXfspgDPxGTo3bHQ3Kf8z/0lSKS8VuCvosf3DfD/fQOiTb9xId4tv2ttdtrKdu1+1Gke6neJ+++vP89NXhupuqWEin6GTytlntRNwHMnxcILnT4yCdM8R7GjycCyUrNobViieoX8kRXdg+t9PKcTSJo/uPQ3Ab25ZXbbHqZS3XLECQxP8/FCIIyE16y63YtIBvw08BWwQQgwKIT5U/mE1npdPjnHPzj4Afue167l8Vcest3/nNWv469su4fzeZiLJHF/Y2cff/HgfqTrOiW7xGewZjHIkmCBj2mQtm1dOj3Es7OZGF3qjG7qGBAZH0hUfYzpns/90jM5A6Taip0pkLf7150fImA6b13RywZKWsjxOJS1t87P98uVI4P5fH6/2cBpeMVkl76zEQBrFiydGCSWyXLK8nRUdfkLxLN969gQ7DwZxpDszKabIQgjB5rWdXLmmg18eDvPFJ4+wq3+UP/3eS/zl9kvG233WE7/H7Xt+KppmYDSFkU+t65nmk0d7k4cTIylWdDSNB/Rys2yHfafH8Gh6WTJIpJT8si/Mvb84ymjKxNAEv/XqNSV/nGr5zS2r2bF/mN0DUV44MTp+uLBSeou7vV2JDYym+KuHX6GwotEZ8BDPWFj5wxZuu2wZH7zuvHndpyYEr72olwuWtPB/HtnH8UiKP35oDx+4bh1b13fXXd6vrgk6Al4cKbEdOWOA1ITAo2scjyS5eJaez+mczcBokhUdgQV3a3QcSTiR5UgoQc526CrDEkk6Z/O5/z7Er464B+1evKyVj227oK7Xtqdq9Xt4x9Wruf/Xx7n/18e5cnXHpHMya9loKsejL5/msQNBBLCqs4mVHU1csqKdLes6Z3ydZS2bsbSJI93raDSVI2c5ZW8SJspxIveWLVvkrl275vUz7uGnJwh4DM7vrc+Pjn/36H5+fSTC6s4mYhmLsbSJAF53US/vevWac87LjmdM/u7RA7x8cgyAgFfnNy7s5YpV7aztbmZlR9OkAhEpJc8dH+VHe04STuTGNwZ9Hp02vzHeb2MsbRJLmySy7vJF1nQQArqbvfS0+Fja7ueyle1csaqDrgoejCClJJTIcumKdpZOObXcsh1OjqY5FkmCBK9HY/OazhlfMKejaZI5i86Al2afgSYE6ZxNMmsxGE2RzNq0+o2yvBGeHkvztz/eT/9IioBX5/2vWcctlyyrm6A2H1nL5ne+8QLhRJa3b17FnZtXLugs10qJpnJ87al+dh4MYs2whxTw6mw9v5sLlrRg2g6mLRmKZegLJuiPJJn6Y//1e9cv6Ng+IcTzUsotRd22VgL3vlMx3vT5XyCAi5a2cu353Vy+qp01XYGab3EJcGg4zh89tAevoXHve7bQGfAwOJrGa2gsbfPPfQdFMm2Hx/YPs2PfMIenpF4ZmmBNV4B1Pc2s6GjiV31hjoWTJXtsgHXdAe5+1Rpes767Ik39LdshmjbZvLaT9vwbTSxjsu/kGFnLoT1fzRjPmHh1jctXd0xqtyulpD+S5Gg4iVfXsZzJaYaaEDR59LJdYy8PRvnMowdIZC1WdjTxv958cV0WIs3HEweDfHbHIcA9F/M163t42+aVnNdTWxOyZ4+N8C+PHyaan2Bdc14Xt1+xgs5mLyejafojKZ46Gpk1xVET0NXsRRNuRbUjJV/74DVsWDb/k4HqMnDvPTnGZ392kF/2hTHtyWNa2ubj4uVtbNuwhCtWddTkqTP/64cvs2dwjLdvXsX7XrOuLI/xwP33TqpU3HO4n6998wE6ttzG8UiSYPzsPOmugJe3XrWSq9d2UoizWcshljYZS7sZHm1NHtqbPDT7DJo8Oj5Dw5GSSCJHOJHleCTJnsEx9uaDJcDFy9v48PXncdHS1rL8WycqbGRevbaLkWSOQ8Nxmr3GWWvf0XSONr+H9Uta8OoahiY4GkowMJoef3FVUixt8jvfeJ541uJV6zr5o5s3lC0nvNY8cyzCf718mhdPRJG4S2TvfNVq3n716qq9foPxDMOxLJFElj2DUR7b77aWuHxlOx/bdsGMBVCDoyl+cTjMaCqHV3fb+XY2e7lwSQvn9TRPetMfSeZ49fldC5oI1GXgBre8+BeHQhyPpHjm2AhHgglORtOTPsJ0Bby86rwuzutpZl13gPN6mgl4q/ti2D0Q5VP/uZdmn85973kVLf7Sj6dwcMH6izZy34MPA/Dhu27jyKED/Pmn/5G73/8RUjmL/kiKY+EkAyMp1nY3c8PGJSU78KEw2//mMyfGg/7bNq/iPdeuLfuLMZ4xsR2J5Ug6AzP3DImmctj5a1oTYEtJdxkaQxXjX5/o49G9Q1y+sp1P33FpQy6NzGU4luF7LwyON6G6aGkLf3jTBlZ2Vq5K9FQ0zVd+dYxnjo1M+ntDE7x361puv3JlyX43izZwP3dshK7mM5tDlu0wOJrmqaMRdh4McnpscmGGrgkuW9nO1vO7efV5XTPmRpeL7Uj++KE99IUSvG/rurJVwBW68R05dIDObreD3GgkPB7IJ5ael1sya/HQ84P84MVBHAmXrGjjE2/YUPbnPmPa83pBOFJWLVj2BRP84Xd2o2mCz999FWu6Gnt5ZC67B6J87r8PE05kCXh1/uzWjVxVxqyTRNZiYMRd6nh4zyksR+IzNM7vbRnfu7lx45KS9z5XgXsaUkoODSfYfzrG8UiS45Ekx8JnNgcEcPmqdrZtWMLW9d1ln4lLKblnZx8/3TdMV7OXf3/31WVdj4+EQ9x501ZGI27r187uHr7/2FMVDdoTvXJqjH/46UFGkjnamzy8+9VrufHiJWVJpasnjpT8yXdf4uBwnDuuXMmHrp9fJlGjSmYtPv/4YX59JIIm4Hdfd0HJ+o9LKTk4HOfxA0GePTZCJJmb9P0bNy7hvVvXlX1zvVKBu64W3IQQbFjWyoZlZ9ZVx9Imzx0f4emjEZ7vH2XP4Bh7Bsf45/8+TMCr0+o36G72sXlNB68+r5u13YGSfWz+zq4BfrpvGK+u8clbN9bFJmopXbKinc/ddSWf3XGI3QNR7nmijwd3neBtm1dxyyXLFm0Af3y/22e9M+DhndcUXxU5dQ8jEg6d1W2xls01/mafwZ/eupGvP9XPd18Y5J4n+jgaTvDereumTeW0bIdYxsKRko4mD8aU6ylnOew/HWP3QJSnjkY4GT1TsOU1NFZ3NrG2u5ntly3nwgrsxVRSXc2455LIWPyyL8zOg0EODMXOStMBWNLq46o1nVy1uoMrVnUseD36sf3DfO6/D6MJ+LM3XszW87sXdD/FqqWlkqkcKfnl4TDf2TVA/0gKgAuXtPBnb9zIktbSZdTUOtuRfPeFQR549gSWI/mjmy/i9fmDBuZSzB5GLZvv+HfsG+KeJ45gO5I2v8F7rl3HhmWt7Do+wnP9owyMpEhkJ1cJt/kNmn3GeA3AWNqclMjQEfDw+ouWsG1DL2u7m6uyCaqWSs6RIyWprE0sY3JiJMWzx0d47tgI0fSZXhmagKvWdHLjxiW8+rzuojfxfnE4xP/92UEcCb/z2vN58+Urznm8c6mHF7YjJc8cjXDfL48RjGdp9Rv88c0b2Ly28SvoToyk+H+PHRpPHbvt8uV85DfOL/rTXS2/MRdjIeM/GkrwpV8c5ZVTsWnvUxNuUY8mGC9ymer83mauWNXBlfmJWLUzzlTgLgPbkRwJJXhxIMruE6PsH4qPN25q9upsXd/N9Re4BS1TP5YV7DwY5J8fO4Qj4a4tq3n3tWvLMtbp1MtH6XjG5LM7DvF8/ygC+O0KvblVy/P9o/z9T/aTMR16W3383g0XcuXq2XvRTGe+exi1dj0sZA9GSsmvjkT4xtP9pHM2V6/t5FXrOrl4eRutfs94ILYdSSxtksxZGJqGrgkCXr3m0ivVGncZ6JrgoqWtXLS0lbu2rGYsbfLkoRCPHwjSF0rw2P4gj+0P0uozuP3KFdy5edWkddod+4b4l8f7kMC7rlnD3a+qbFe3qS/ImQ4uqLZWv4e/3L6JB58b4FvPnuCLTx6l1e/htRfV9qxxIR7bP8y/PH4YR8JrL+zhY9suqEh6auET2INf//JZn8Dg7GulVgkhuP6CHq6f46xNXRN0NnvprGDlbi1bVDPu2QyMpPhlX5hf9IUZyK/TLm/38+Hrz2MkafKTV05zJORWIb7n2rUN0YpzqnLM4L7/wiD/8evjGJrgL7dvKmsKWCXZjuQ7u9w3JoC3b17Fe7euXfDG93yXGmptaaXWxlMtlZpxL85t/2ms7grwzmvW8K/v2szf3HEpqzubOD2W4dM/3s89T/RxJJSkxWfwO689v2GD9mc+9YnxU9oLL8TPfOoTPHD/vQu+37detZI7rlyB5Uj+7tEDHByKl3DU1dEfSfKn33uJbz17Ynwp6H2vWXdO2UrFHr5c0N3Ty30PPkxndw+jkTCjkTCd3T1VC5LzHb9ybhbVUkmxrljVwefuvoof7TnFIy+dZkmrj1svXcZ163tKVoVYa27efgcPfv3LHDl0gDtv2gqcmTHdvP2OBd+vEIIPXHce0ZTJE4dC/PkPXuZ3X7eemzYtLdXQKyaRtfjP3Sf57vODWI6ku9nLx2+4gC1ru875vos9fLlW1fv4641aKlHGlbPAx7Qd/v3nR/jpvmEA3rBpKdet76F/JMmJkRTxjIVpSyzH4dIV7fzmlur1tJgqGM/wo92n+Nm+YdKmeyrPLZcs4wOvWVe1zTG1NFGb1Oak0lA8usbHb7iQjcva+LefH+Fn+4b5WT6IT/XS4BiHhuN84pYNVetDI6Vk78kxHnn5NE8fjYynol25uoO7tqzm0pXzb9tZShOXJqZuTqpZbuNTgVsBzszgCmul4M7gPnzXbSWdwd20aSnn9TbzlV8ew5aStd3NrO0K0Bnw4NE1Ujl70mk/n9q+qaJFPImsxRMHg/xk79B4MZGuCV53YQ9vvWol62ukV7xamljcVOBWgMrM4ApZK+t7e/nbt142nrXyptdNvu8Ll7bw1w+7p/38j2+/yO1XrOAtV66kxWcQimd5+miEYDxDe5OXzoCH5R1NbFzWOu+GUumcTSiR5VQ0zalommPhJL8+GiGXb13bEfDwxkuWccslyyrevKwY9ZIeqpSeCtwKUP4Z3Hzyjpe3N/F/334Fn91xkF39o3z7uQF+tOcUy9ub6JvhBPGeFh/bNvTymvU9tPoNvPnZ++6BUV4ciHI4mEDXBF5dQ9MEo8ncWSXVBVesaueWS5Zx7fndi7bfilLb1OakUhEL3Uzbe3KMbz93gpcG3ePafIbG1Wvdk9FjaYvRVI79p2PTHiIxF48u6Gnxsbzdz4qOJla0N3H12s4ZG+orylzU5qTSUAp5x1OzVuZaP790ZTt/u/IyDg3HGUubXLay/awXhSMlr5yK8fiBYQ4MxclZDjnLQROCTSva2Lymg0tWtKNrgpzl5A9jcE/9KecBC7VWkq40DhW4S0i9UMtntiPSNOEepnFZlTM9JmqUknSlNqkFvBIpV+Vho5iatVKo+Cs8X43m5u13jFcO3nnTVu68aev45u+5FDSVgpSSVM7CtJ25b6zUJDXjLpGFVB46UhLPWO7J4xIQ5A/r1WcsPnGkREq35WU1zlFcqMWWd7zQpaFykFLiSLe/SjzrtjXuavaSyrltjws0BJrmnlZuaGJ8Y7Zwzen57ynVpwJ3icz2Qu3q7sF2JFK6h92atoNpOzgSVnT4WdUZQAKxlEkokSWZnw1N3TcWgKYJNCGwHYmTv4Hf0PF7Zg72GdMmY9rjgV4AQoDA/VoixwtMLMdh4r247ycCkAjB+JgKQyt8D8R4q83pMjFU3vG5sWyHrOWMXxcS9/cG7u9g/M8TfkcFAsYzai5Y0kJvqw+f4e4TZEybVM7Gyl+Tpi3dvzNtUqaFlO6huoamjR/YjMDNzhFiPJgbmpj3REItLS6cCtyzKPbCklJi2u7Hz4kvGiklo6ksWiCHJjQMXdDk0ekIeGj2GnS1eCdttLX4DFbkT78u3Ce4s2tNuLOhAseRpEybZMYkkswRSeawbfdFVfCDb3yF1916G2tXrWBNV4BIOMjDP/wB7/7QR9wXf+Gszvz9G5rA79HxGhoeXUMIcOSZGddEhRm/IyVO/vT1WNokGMuOz+I8mjZ+fzD/vON6fmGfS0GTZTtkLIecZbsBWoLfo9Ee8NDiNdxAmQ+cXkPDZ2gY+Td0kf+9FLLFpGTSdTOV36MXnQFRuOYSGZNE1iJnO5iWJG3axDL2+BtIwGPQ5J39PtUewLkpKnALIW4FPgfowH1Syr8v66hqwGwXluVIbn/XB8hNWCPMxUf5vfe8lehImO6eXgQQDof4Xx/5TXbu3MmSJbP3G55KCIHXmPkFp2mCFp9Bi89gaXsTUrovoIzp4EjJff/+b3z+bz7Jju99nSee2AmOyXvetp19+/bR0+rjYx/72IKel9n0tPg4v7eFVM4imbWJpnJEUzkiSTeQN3l0mjx6UTOzhbyw5xvoy3n7+SwNTXzjt6XE0DR6Wrx0BAI0eQ38Hm18hlys8U9XJVzZmHjNTeU4kpztEEubDIymiSSy4z+jCYEuBJrmfjrQNcGNb7p93kuL37r/S9z4xttp73I/wYZDQR5/9Efc+e4Puf/W8cdzH6cwISk8ByL/vBT+vp7NGbiFEDpwD3AzMAg8J4T4kZRyXzkGJCWTNk0KT3a513QL64COdJcgfuMNt7Huq/dx5NAB3nrjtQBERyKsu2ADN77pLfS2+mjzGwR8BgGvwRf/7SGOHDrApk2b2LlzJwDbtm1j3759PPTQQ2UJlBMJIQh4DQL5PvMffM+7+PpX7mXfvn1ceumlAIRCITZt2sQ73vGOso7FHYdBb6ubj5+1bMZSJkOxDCPJ3PjiiqG5M0U9v546calnvnsG8w30pby9g+Su935k0jX0lnd9gKzlsO1Nb8Hb0oEj4bP/8T0e/8mPuPkd72UklUXK/FKTkDR7DVZ1NdHd4qPVZ9TV/gW4AdOvubP3JW1+ElmLZNZy0y/zzcNMx52hW7bE19bJP/7Hd/ngba8bX1rs6OrmH//ju9DUxkjyTF6+BH7wza/w+U9/kge/9mW+/ODDeA2NP3z/nRw+eICOgIf3fui3sRwH23E/sVj5pUTHYfyMSiklduE17kjkNP8OUbg4x6/SM6bevrBMeGbZML8EWYFf3ZwFOEKIrcBfSSlvyX/9SQAp5d/N9DMLLcDJWQ6vnBobP04MwHLcX7Qjz6ztnT3Gyet6YsL/Fn5i4prs1PVA991ZYugahhDomobXo5EcjbB926uJhN0Lq7e3lz0vvczyZdO3JL3nnnt4xzvewZIl7gGxwWCwIkF7JsFgkEsvvZRQyM3a6O3tZe/evePjqwbbcddQ06ZNKmuRyrnrqemcjWk7E1bMYSQS4oO3vY7oSASAjq4evvbjJ+npWYKmMb7GqgnBaCTER+5+y7wOIvjQb97G0cOTb3/ehRu45xs/pL2rByv/Yne/F+IP3vc2jvcdpKPLPRi68Eb++a9/n66eJeNrvYbuXkO65r45acJtsmVMeIPSNXfpy6u7Sx31FqhLYWhomMsvv2z8+uzp7eXZ53fT09uLhEkz9ZFwmJtuvIF9+/bR2+v+LgsTEfcT7fyvaZlfAnTkmeDrxpgzS4PuUhPo+Wtt4uROjv/Zva3Ij3muZaKZlLoAZyUwMOHrQeDVCxnYXLyGVtQJKXK6J00Uvjf5iS98TyDG14rhzM8KQf7iOPuFE/Rkz/pINduu+tQAvWTJkqoF7Vqla4Jmn3taN1P6fxQ+bpu2g+1ITnuz6Jo24WfdU4naW73kLHcGlzMdTEeiBdrzM7jXT5jB9fDZ//geoqmdkWR28pt+Uxv/9NXv8v7tZ27f2dXDv3/rR6xYvhRffnnCZ7iB1ljdyc6dj3PN5isnvRE+86snq/pGWK+CwSA33ngDoVBoUiDefuvN0wbi5cuWsnPnzrMmIgsN2jBh2YTi3zR1Afo8bl8uJducFEJ8FPgowJo1a0p1tzM91ryf8Knm+tlgMMi2bdvOurC2bdt2ThdLpdTj+Cd+3A4Gg7x9+61EwpPH/763b3fHv/Ls8Q8NSTz6md+rRxdctbaTJUvcgw60CeubmoBQiEm3N3TBFWs6WLJk+kKebELt5ZfKQw89xL59+6q2tFj33NnrzP8BW4GfTvj6k8AnZ/uZq6++Wta7L3zhCxKQmzZtksPDw3J4eFhu2rRJAvILX/hCtYc3p8U2/onf7+3tlb29vZN+vtK3V+b2hS98YdJzNzw8POO1uRief2CXnCMeF/4rJnAbwFHgPMAL7AEume1nGiFwSzm/C6sWLabxzzfQl/v2Smkthue/pIHbvT/eBBwCjgB/MdftGyVwK/Vlvm9U5b69UlqN/vzPJ3CXpa2rECIE9C/wx3uAcAmHUypqXPOjxjU/alzz04jjWiulLKofQlkC97kQQuySRabEVJIa1/yocc2PGtf8LPZxqe6AiqIodUYFbkVRlDpTi4H7S9UewAzUuOZHjWt+1LjmZ1GPq+bWuBVFUZTZ1eKMW1EURZlFTQduIcQfCSGkEGJ+PVHLRAjxaSHES0KI3UKInwkhVlR7TABCiH8UQhzIj+0HQoiOao8JQAjxDiHEK0IIRwhR1QwAIcStQoiDQog+IcSfVXMsEwkhviKECAoh9lZ7LBMJIVYLIXYKIfblf4e/X+0xAQgh/EKIZ4UQe/Lj+utqj6lACKELIV4UQjxS7seq2cAthFgNvAE4Ue2xTPCPUsrLpZRXAo8Af1ntAeXtAC6VUl6OWyj1ySqPp2AvcCfwZDUHMaE18RuBTcA7hRCbqjmmCe4Hbq32IKZhAX8kpdwEXAt8rEaesyxwg5TyCuBK4FYhxLVVHlPB7wP7K/FANRu4gf8H/AnTd3KtCillbMKXzdTI2KSUP5NSWvkvnwZWVXM8BVLK/VLKg9UeB3AN0CelPCqlzAEPALdXeUwASCmfBEaqPY6ppJSnpZQv5P8cxw1IK6s7KsgXGSbyX3ry/1X9dSiEWAW8GbivEo9Xk4FbCHE7cFJKuafaY5lKCPG3QogB4LeonRn3RB8EHq32IGrMdK2Jqx6E6oUQYh1wFfBMdUfiyi9J7AaCwA4pZS2M659xJ5rOXDcshar1qRRCPAYsm+ZbfwH8Oe4yScXNNi4p5X9KKf8C+Iv8gRIfB/53LYwrf5u/wP2I+81KjKnYcSn1SwjRAnwP+J9TPnFWjZTSBq7M7+X8QAhxqZSyansEQojtQFBK+bwQ4vWVeMyqBW4p5U3T/b0Q4jLcToR78qeCrAJeEEJcI6Ucqta4pvFN4L+oUOCea1xCiPcD24EbZQVzPOfxfFXTSWD1hK9X5f9OmYUQwoMbtL8ppfx+tcczlZQyKoTYibtHUM3N3euAtwgh3gT4gTYhxDeklO8u1wPW3FKJlPJlKeUSKeU6KUycvH8AAAEYSURBVOU63I+1mysRtOcihLhwwpe3AweqNZaJ8oc5/wnwFillqtrjqUHPARcKIc4TQniBu4EfVXlMNU24s6YvA/ullP9U7fEUCCF6C1lTQogm3LNwq/o6lFJ+Ukq5Kh+v7gYeL2fQhhoM3DXu74UQe4UQL+Eu5dREihTwBaAV2JFPVfxitQcEIIR4qxBiEPcwjh8LIX5ajXHkN24/DvwUd5PtO1LKV6oxlqmEEN8GngI2CCEGhRAfqvaY8q4D3gPckL+mdudnlNW2HNiZfw0+h7vGXfb0u1qjKicVRVHqjJpxK4qi1BkVuBVFUeqMCtyKoih1RgVuRVGUOqMCt6IoSp1RgVtRFKXOqMCtKIpSZ1TgVhRFqTP/P2VKDAKg0nYFAAAAAElFTkSuQmCC\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "rate_samples = np.exp(f_samples[:, :, 0])\n", "\n", "line, = plt.plot(xtest, np.mean(rate_samples, 0), lw=2)\n", "plt.fill_between(xtest[:,0],\n", " np.percentile(rate_samples, 5, axis=0),\n", " np.percentile(rate_samples, 95, axis=0),\n", " color=line.get_color(), alpha = 0.2)\n", "\n", "plt.plot(X, Y, 'kx', mew=2)\n", "plt.ylim(-0.1, np.max(np.percentile(rate_samples, 95, axis=0)))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You can also display the sequence of sampled hyperparameters:" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "hyperparameters = ['GPMC/kern/kernels/0/variance',\n", " 'GPMC/kern/kernels/0/lengthscales',\n", " 'GPMC/kern/kernels/1/variance']\n", "\n", "plt.figure(figsize=(8,4))\n", "for i, col in samples[hyperparameters].iteritems():\n", " plt.plot(col, label=col.name)\n", "plt.legend(bbox_to_anchor=(1., 1.))\n", "plt.xlabel('hmc iteration')\n", "plt.ylabel('hyper-parameter value')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You can also inspect the marginal of the posterior samples:" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, axarr = plt.subplots(1, len(hyperparameters), sharex=True, figsize=(12,4))\n", "for i, hyp in enumerate(hyperparameters):\n", " ax = axarr[i]\n", " ax.hist(samples[hyp],bins=20)\n", " ax.set_title(hyp);\n", "plt.tight_layout()" ] } ], "metadata": { "anaconda-cloud": {}, "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.8" } }, "nbformat": 4, "nbformat_minor": 2 }