{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# FIGARO in a python script" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This notebook shows how to include FIGARO in a `python` script. If you are a casual user or you are simply interested in performing a DPGMM/(H)DPGMM reconstruction, you may want to make use of the turnkey command-line scripts already provided with FIGARO (`figaro-density` and `figaro-hierarchical`): please refer to the *Quick start* page for more details." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 1D probability density" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We will start from a simple problem: inferring a 1D probability density given a set of samples drawn from it.\n", "Let's draw some samples from a Gaussian distribution." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "from scipy.stats import norm, uniform\n", "import matplotlib.pyplot as plt\n", "from tqdm import tqdm\n", "from figaro import plot_settings\n", "%matplotlib inline\n", "\n", "mu = 30\n", "sigma = 3\n", "n_samps = 1000\n", "dist = norm(mu, sigma) \n", "\n", "samples = dist.rvs(n_samps)\n", "\n", "n, b, p = plt.hist(samples, histtype = 'step', density = True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "FIGARO contains a class designed to infer probability densities given a set of samples.\n", "\n", "In order to instantiate the class, we need to specify the boundaries of the distribution.\n", "We will assume that our probability density is bounded between 10 and 50. Moreover, we will make use of the available samples to set some reasonable priors for the mean and variance of each Gaussian component fo the mixture making use of the `get_priors` method. More details on this function are given below." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "from figaro.mixture import DPGMM\n", "from figaro.utils import get_priors\n", "\n", "x_min = 10\n", "x_max = 50\n", "bounds = [x_min, x_max]\n", "prior_pars = get_priors(bounds = bounds, samples = samples)\n", "\n", "mix = DPGMM(bounds, prior_pars = prior_pars)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The idea is that the algorithm *learns* the shape of the probability density from the available samples, one at a time: every new sample adds a piece of information to the inference. Therefore, we need to pass the samples to our mixture one at a time in order to draw a single realisation of the Dirichlet Process." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|██████████████████████████████████████| 1000/1000 [00:05<00:00, 169.04it/s]\n" ] } ], "source": [ "for s in tqdm(samples):\n", " mix.add_new_point(s)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now that our mixture knows the shape of the distribution, we can build the probability density:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "rec = mix.build_mixture()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Before starting again with a new inference the mixture must be initialised, otherwise it will remember the samples from the previous run." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "mix.initialise()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Please note:** the mixture we just inferred is stored in `rec`. Calling any of the following methods on the now empty mixture `mix` will raise an exception.\\\n", "Let's have a look at this reconstruction: `rec` contains the realisation we just drew, with some useful methods." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "scrolled": true }, "outputs": [ { "data": { "text/plain": [ "['cdf',\n", " 'condition',\n", " 'fast_logpdf',\n", " 'fast_pdf',\n", " 'gradient',\n", " 'log_gradient',\n", " 'logcdf',\n", " 'logpdf',\n", " 'marginalise',\n", " 'pdf',\n", " 'rvs']" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "[method_name for method_name in dir(rec)\n", " if callable(getattr(rec, method_name)) and not method_name.startswith('_')]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "`pdf` and `logpdf` take a 1D or 2D array and return, respectively, the probability and the log_probability of the inferred distribution, while `rvs` takes the number of desiderd samples and returns an array of draws. `cdf` and `logcdf` are the cumulative distribution function and its logarithm. These are, however, defined only for 1D distributions. `fast_pdf` and `fast_logpdf` take a single point (1D array) and return the pdf/logpdf for that specific point without relying on NumPy. These functions are thought for MCMCs and nested samplings. `marginalise` and `condition` makes use of the properties of the multivariate Gaussian distribution to analytically marginalise or condition the inferred distribution on some of its variables. \n", "\n", "An instance of the `figaro.mixture.mixture` class behave mostly like a `scipy.stats` class:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[0.10989248] [-2.20825284] [[0.50104709]] [[26.83161485]]\n" ] } ], "source": [ "pt = 30\n", "print(rec.pdf(pt), rec.logpdf(pt), rec.cdf(pt), rec.rvs())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We now want to evaluate the probability density over the interval $[x_{min},x_{max}]$. \n", "**WARNING: FIGARO uses a coordinate change that is singular at boundaries. The distribution is defined to be zero outside bounds.** This transformation is used to ensure that the conditions for the GMM to be a good approximant for arbitrary probability densities ([Nguyen et al 2012](https://www.tandfonline.com/doi/full/10.1080/25742558.2020.1750861)) are met. If you don't want to make use of this transformation, set `probit = False` while instantiating the DPGMM class." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "x = np.linspace(x_min, x_max, 1000)\n", "p = rec.pdf(x)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's compare the reconstruction with the samples and with the true distribution:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "n, b, t = plt.hist(samples, bins = int(np.sqrt(len(samples))), histtype = 'step', density = True, label = 'Samples')\n", "plt.plot(x, dist.pdf(x), color = 'red', lw = 0.7, label = 'Simulated')\n", "plt.plot(x, p, color = 'forestgreen', label = 'DPGMM')\n", "plt.legend(loc = 0, frameon = False)\n", "plt.grid(alpha = 0.6)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This is a *single* realisation from the Dirichlet Process. In order to properly explore the distribution space, we need a set of draws: therefore we need to repeat the exercise of training the DPGMM for every new sample we want. \n", "\n", "The DPGMM class contains a method that is a wrapper for the `for` loop we wrote before, `DPGMM.density_from_samples()`, which returns a realisation from the DP." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|█████████████████████████████████████████| 100/100 [00:30<00:00, 3.32it/s]\n" ] } ], "source": [ "n_draws = 100\n", "draws = np.array([mix.density_from_samples(samples) for _ in tqdm(range(n_draws))])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Each call to `density_from_samples` reshuffles the samples and automatically initialise the mixture at the end.\n", "\n", "With the set of draws we have, we can compute median and credible regions for the probability distribution." ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "probs = np.array([d.pdf(x) for d in draws])\n", "\n", "percentiles = [50, 5, 16, 84, 95]\n", "p = {}\n", "for perc in percentiles:\n", " p[perc] = np.percentile(probs, perc, axis = 0)\n", "N = p[50].sum()*(x[1]-x[0])\n", "for perc in percentiles:\n", " p[perc] = p[perc]/N\n", "\n", "n, b, t = plt.hist(samples, bins = int(np.sqrt(len(samples))), histtype = 'step', density = True, label = 'Samples')\n", "plt.fill_between(x, p[95], p[5], color = 'mediumturquoise', alpha = 0.25)\n", "plt.fill_between(x, p[84], p[16], color = 'darkturquoise', alpha = 0.25)\n", "plt.plot(x, dist.pdf(x), color = 'red', lw = 0.7, label = 'Simulated')\n", "plt.plot(x, p[50], color = 'steelblue', label = 'DPGMM')\n", "plt.legend(loc = 0, frameon = False)\n", "plt.grid(alpha = 0.6) " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The same plot can be obtained with the dedicated method:" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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pzuX68Xi8EMFv8A9aa6ONT1lKbRLKw55mytwSgrRa+cSIqwkzbvyL0aby+Np46uzsnFL/5uTJkyWB3fF4fMYVcPk0AdMxU+B3W1tbyfXj8TjHjx+fc7r4wcFB40b1IUop+vv7jTY+ZKm08fTD5JjlsBA4WqPMj82cMePGvxhtKo9vA8YhOzWWr8Hz3HPPEYvFaGpqKvEGDQ0Ncf78+ZLpvXg8XqjDE4vFOH36NJBdpTc5M3lra+uMBQzz6ech66U6efLknL1era2txo3qQyzL4rHHHlvpbhjKsFTaJLxscsw6q/xXnBQCVytcrQs5oAwzY8aNfzHaVB7fpipYzeRTFVy/fp0dO3aURPgbVh6lsnlqGhoajDY+Y6m0uZdO8+74GFtDobKvp5RHwvP4gbooEfOAMyfMuPEvx48fJ5FIUFVVxdDQEIcPH+bs2bNzKmC/VHR3d9PZ2UksFptzrqSl4vDhw5w+fZozZ84sOqRnrrXtzAhYRswctD8x8QH+Zam0mfBc5AwOJQuBB7jmMzBnzLjxJ4cPH+bjH/84v/iLv8hnPvMZjh8/TmdnJ2+99VbhmM7OTg4dOrSs/WhrayvM0syXU6dOLeraJ0+enFfd2aXAGE/LSEtLi5m28yGWZZkpVZ+yVNqMei7BaeKdIBsw7mltjKd5YMaNPzl9+jTPPfdciTaT43IPHDjAyy+/vOx9yafymS/nzp1b4p4sP76OeVrt9Pf3U1NTY1zcPkOpbOmP5uZmo43PWApt0kqR8DxCk853tCaQi2+SQqAxnqf5YMaNP4nH41y7do26urqCNtFolOeee65wzFKtTl8OTp06Nae8iX7DjIBlJF/nx+A/jDb+ZbHaTHgeKaUIF/3Au1pzIZHkgeOWHOsY42lemHHjP9ra2njhhRf4+te/XrI/H+/U3d3NgQMHaG1tLbzW1dXF/v372b9/P93d3Zw9e5ZTp05x+PBhIGvQnD17lkOHDtHd3V22jc7OThoaGmadcovH45w4cYKzZ89y+PDhkpXxXV1dnDt3jlgsxokTJzhx4kTJufnz8v9Pfi3fz8mvVQLjeVpGdu7caZ7QfIiUkl27dq10NwxlWAptUspDaY2V8zKNewoNjCrFoOexOfDwa8/VZmn3XFmz4+aXfxnu3l3pXsC2bfDbvz3v086cOcOBAwf41Kc+xac+9Sna29vp7OwseJva2to4fvx4ScxTvt7r4cOHGRoa4uDBg0B2hXhnZ2dJLdhXXnmFCxcu0NnZWTCuIBukPl2KoGKOHTvG4cOHaWlp4eDBg7S2tnLhwoWSfImxWGxKcPuhQ4d4+eWXC307cOAALS0thdiq1tbWwsr7eDy+7DFdkzHG0zLS29trpu18iFKKvr4+Nm7caLTxGUuhTbYsS9ZwcrTmnVSKoBAklCZRlAdH8LCEi2F21uy4WYDB4idaWlq4evUqZ8+e5fz587z55pscOHCAM2fOFAyPcjQ2NhKLxUqm9Kar5Zo/fjJzKZOWrwWbN3RaWlro6uqasW+xWIyzZ89y5syZwr5Dhw5x8uRJjh8/zokTJ0oWLkSj0bIl1pYTYzwtI5lMZqW7YJgGo41/Waw2SaUKmcVTSjPiedRZFhmtSRUZS7YQpkTLPDHjxr/84A/+IAcPHkRKSWdnJ6+88sqMBgpMNZai0WjJ1NxSkDeA8nkXh4aGpi27lidfyaOrq6uwr6enp2CILWVt24Wyhh4f/Mf27dvX1hPaGkFKafJv+ZSl0CZZVJYlpRVpDSOeR1orMjqbfRxAYooDzwczbvxHPB7n7NmzU7Q5fvz4rNU1lur6s9Hd3c2hQ4c4ffo0LS0ts6YUiMVihXqz7e3thX/Hjx8vrMpb6Kq+pcSMgmXEVLn2J0op7t69a7RZJnoSE/Rm0gs6d7HaeFqTLvI8pbVGAwmlabYsPK0LQeKWAMd8BuaMGTf+5K233iqrTUtLy7J7aGbzIMXjcZ5//nmOHj1KR0cH0Wi0YHBNt8Kuu7u7ZLpwcnvTvVZpjPFkMBgWjaMUXq5W3IDr0LtC0zuO1rhKl0zbCTS7ggFqpcRF4+ScTZYQuFoXPFEGw2rk1KlTJdNbwKwxRdMxkyeppaWlxGjJT8PNdE7+9eJ4pLzBlQ82L243FovR1tZGe3s7zz777JRVdHnvVUdHR8kqv3g8Tnd397J72ooxMU/LyNatW42L24dIKdm2bdtKd2NNcTWZIOV5tFRVkfA8auTCEikuVhtHKRw01TnjKaEUdi543BICR0NaK2qRSAQZnTX6LFPfblbMuPEnx48fR0rJ7/3e703ZD1kj5dixY4V0AEeOHCm778SJE5w/fx7IGjSNjY2FGrGdnZ0cPXq0EKydn3prb28vZPduaWkptJlfsdfW1saRI0fo7OzkwIEDAIV6tfmknXljaPIKunPnztHZ2cnQ0FBhmi7/2smTJwvpC/Letba2No4dO1ayim85MbXtloF8bZzvf//77N271xhQPkMpxZ07d3jkkUeMNkvEd0fj9GUybA2G6HUy7I5Usaeqet7tLFabIcfh/NgIGwNBpBD81USCUU/RZGeNubuOy6OhAB8Oh0krxYTn8tG6KFUma/asmHHjX4w2S4epbecDgsHgSnfBMA1Gm5lRuSm4PDNNbalcmZMqy2LAdUgrhbuIuJjFaJNUHkpnM4g7WpNUmkCRU6lGCh44LhmlsQSmvt08MePGvxhtKosxnpaRTZs2macAHyKlZPPmzUabGbiaTHA5MQHAiOvSPTZK/zRxTPk4oyppUSUtQlIuOHP3YrTRWnM/nSaUqwg85ikSWhEpaqtGSiaUZlR5WGQNrJQJgJ4TZtz4F6NN5THv9DJy8+ZNszLFhyiluHHjhtFmGlytGXQyDDoZkp7HzVSSO+kUcdcpHKO0Ju46aK3JKIVLtm5cnW1TbVkLXsW2GG0yWpPwPCLSwtWankympJ4d5AoCo0kojRACgSbhuTO0ashjxo1/MdpUHmM8LSNVVVUr3QXDNBhtyjPuubw/Mc645zHueTzIpBl0MoSlLMnGPeA4XJoYZ9B1cHPTdvmgawuBS9YAWwgL1SaTCxYPCEG/63HPcdlkT10TI4Ex5QEQEJIJz1vQ9dYjZtz4F6NNZTHG0zKyYcMG40b1IVLKtVdiYonoTae5kUpiC4ElBHHXJaOzU3LpojpwfZk0vZkMd9IpMjpbO07mjCcpBEpDTzIx7ymxxWiT1tlYK1sIUlqhgGCZVXRhIRn2FFprLLLHGmbHjBv/YrSpPOadXkZisRieear1HZ7n0dPTY7Qpw4TyqLEsmgNBqqRFUqlCkd200uhcEsph16EpEKA/k6HfcUraCEvJsOsw5nlkcvmf5spitEmrrBEncn0VlL9uWAoSniKls/mg0rl7NMyMGTf+xWhTeYzxtIxEo1GEyR/jO4QQRpsyKK1JeIqAyH4tVFmSUc+h3razsUJa4WjNhOeRVIpay0YBmUlf2JYQ7AiFcbXmQSbNu+NjfK8o4DxvgJVjMdokPK8wdVhc324yISFIkV2Jl70vbVbczQEzbvyL0abyGONpGWlsbDRuVB8ipaSpqcloMwknF/ydNzpsIdkaDFNj2dg5IyO7Os1DkzWS6i2bYddlsu0hhEBoSCnFmOvyIJNmIBcDFUsmeHt8tOyU3kK1cbUm7roEc4ZfQutCcszJ5O8lnfOouUUlWwzTY8aNfzHaVB7zTi8jxo3qTzzP4+rVq0abSTg6u2qunMfGzuVNcrRi3PMKXxxVlkWVZdEcCEw5R4hsEPeo55LKTfWNuC530mkGMxmGJ033wfy10VrTn8nw/fExBp0MNbn6dSmlsWd8CBcF40lpk+tpLphx41+MNpXHlGdZRsyTgD+RUppg/jLk67yVK1WSNTI0SU8x6DiEi9676mmyc1tCMOq5hKSk2bKZUB6xZIKkVlgiWxplMvPVZtB1uDgxhqM1G4NBbCFJKIWjFVUztCHQJJVCAh6mvt1cMOPGvxhtKo8xnpYRMwftT/LxAYZSHKVRMG2dNy0EfZk0CeVRb83+1WELwbDrsi0YIiglQ67DsOtQb9lMeB4Tnkd/JkOVZRUMsPlqk1YKRym2hMKFfUmlyQDRGcZeUAhGlUKKbFi5mia43PAQM278RywWK9R5a2lp4fDhwwAMDg4ClNSKm+n4np4ehoaGePnll6ctKNzZ2QlknQKQ/X3L16TL19HLt3/q1CkaGxvp6emZtu+tra0MDQ3R0dHB0aNHGRoaWvC5K/G5NMbTMnLlyhWeeeYZLFM3y1fkXdyPPfaY0aaI2aau6i2be+k0UkJwDk+49ZZNWMrCsRsDQRLKoyqXM2rUdbmdStEYCNBWW5cN3p6nNtk+lxpJSa3w9PRGIGSNp3FPZc/XxvM0F8y48R8tLS0cP36cCxcu0NTUxK/92q+VaHP48GEOHTrEmTNnSo7v7u6mpaWFI0eOlLTX2tpKLBYr2d/d3c0rr7zC66+/TltbW2F/LBbj0KFDxGKxKf1pamri2LFjdHd3l5yTp6uri7a2NhobGwuGVzQaXfC5K4Hx8S0jJl2+P5FSsnXrVqPNJGYznqoti82hEBsDoTm1J4QgLB9+kQelJGoHEEIgBQw4GaotizHPJZGL1ZivNmmlkJNspF7HZbaf9pAQpLUiqTQIgWdsp1kx48a/CCGoqqqaos3JkyeJx+OcOnVqTu0cPny44GHK8/zzz3P8+PEphkyx52oy0WiUl156iZMnT5Z9PR6PT9uHxZxbScwoWEbq6urMtJ0PEUIYbSbhKMWI68z6hWDlkmculjrLZkMwSJ1t4yjFRC7j93y1SU1KSZBSikHPo3aWH/igyAaMj+dW/Jk8T7Njxo2/CQaDZbU5dOjQFINoOvLTX3kD5fDhw7S0tNDe3l72+Pb2dhobG8u+dvjwYU6fPj1lfzwep6WlZcZ+LObcSmGMp2Xk/fffN6sffIjnebz33ntGmyKuJiYY9dw5TcctBVIIIgWvlOBBOk1KqWm18XL5pSaTVg9zOyWU4u1kioTSRCa7o8pcXwBDngs6GzRumBkzbvyL1prh4eGy2rz00kvE43G6u7tnbefChQu0tbUVjKiuri6effbZGc+ZzjDLT62dPXu2ZP/58+fLTsct1bmVwsQ8LSM7duwwLm4fIqVk165dRpsikiq7iq45EKz4taWAUdflZjLB41XVBW0ySjHheTQEAtxJpxjIZHg6FxsFcHF8jLR6mFphwPW46bhUy7l5x/JlWpoCFq4pqDora3Xc/L3PfQ2lVt54llLwh5/95ILOFUJQU1NTVpu8ITST4ZGf2jt//jxvvvlmYX8sFqO1tXXGa0/nlQI4ePAgb7zxRkkQ+lyn3RZzbiUwxtMyUl1dbVzcPkQIQXV19Up3w1doICjkjMv7l4s6y+ZeJk04F+ia1+ZuKsWgk6aFaoYdh7jnMua5RO0AaaUY81wyWlEns19jaaUICsoWAy5HUAiSSuFpyyTJnANrddws1GDxG4FAYF6/N+fPny+JhWpvb58SQL5YDh8+TGtrK/F4nGg0SiwWm7PnaDHnVoK19QjhM4yL2594nsfFixeNNjm8XLmUWttaEWM/YllsCYZIeR4J1+XixYu4rktGeYy4HnfSKQZdh0QuvQFQ2E55XsHzlJwhq3g5QjIb9+TkMqEbZsaMG/+itWZoaKisNnlvzeRYoWeffZaOjo7Cv3KGSVtbW9mUAV1dXZw4cYLW1lYaGho4ceJE2X61tLTQ1tZWiF/Kr/KbC4s5txIY42kZaWlpWXMu7rWAlJJHH33UaJMjk0sqOV0tuEoQlDJbHgbNo48+SiydojeTIaE8PK0ZdV0sIRjL/TiklCKtFFWWjcz1e1wpAvO4hwDgalC59rTxPs2IGTf+JR/MX06b8+fPA8wau1SO9vZ2urq6yu4/cuQIBw8epLGxcUaP1eHDhwsr5+abj2kx5y43ZhQsI5FIxEzb+RAhhNGmCEdrPFiU8eRpzaDrLdgAsYXA1YqM1ohQkAeZDOlcJvIR12FDIEitZTHiOLnCwh4BIWnMlYVRcyrJUorIJch0yZamMVN3M2PGjb+xbbusNidPnuT48eMLMj7yeZQmB27nyU+pzcRLL71Ed3c3Z8+enbcBt5hzlxtjPC0j7777rnFx+xDP83j77beNNjkcrXCVwprHlNdkrqYz/E0iwfvpdMmy//uOS3zO77NgIpPhe2+/zYTnsiEQpMkOkNaaGssiKLLJNdNaMzEpRYGjNS7lS8vMfMWH5VmM8TQzZtz4F601g4ODU7Q5ceIE8Xh8UbFM586d49ixY1M8UPF4nKGhobLnFE/1RaNR2tvbeeONN+ZkwC3m3EpiAsaXkT179hgXtw+RUvLEE08Ybch6bO6m07iwYI9CQiluOQ6ehmtphybLZlPAxtGaD9JpqoTgo9VVs7YTkIJBzyOwcycWOpvOwLKI5ALJA1Iy5nmklEfCcwnIYuMpm+Szap73IIG01rimOPCsmHHjP/LlUN588012797N5z//eYQQDA4OEo/HaW1t5dy5cyXHnz17lvPnzxOLxThx4gQdHR0zGiYtLS1cuHCBzs5Ozp07R1NTU+H4M2fOlBhVsViM48ePc+rUKeLxOJ2dnVOSaeZX9nV1ddHY2Fjow9DQ0ILPXQnDSmifT/Tnxcgvl8zX05krp06doqenp2wa9/3793P06NHCUsv8yoNiK30h1x8dHaW+vp6hoSFT386HaK1RSiGlXPfaTHge3xsbZdDNsDs8u4EDMOYpaq2HP6C9rstfTyTZYls8cD22BWyeiYQZ8jz+ciLJtoDFc1VVOFojmb5sSsLz6MukqZcWtiWptQNTjrmfTrGvppYbySRSQE2uxt6w5/EXEwk2WNa8ph/7XZdmy2K7bfFcXX1hGtAwFTNu/IvRZunI/36PjIxQV1c37XG+foSIxWLs37+f48ePc+TIEY4cOUJPT8+0kf3F5x0+fLhsqvliuru7OXToEA0NDTQ0NNDT0zPFcFrI9fO89957KLOKx3copbh48aLRhuzy/oTy2BoMl+zXWnM9neF2JlOyv9dxuZhKMZF770Y9j3uOiyabeLLBktxyHG5kMvS5LgmlSChNRmnOJ5K8n87wXirFzXS23buOw2huqqHKsqi3LOJXr1I17RSiYCCTwdWKgHj49eVona1nN8/7t3KZxgXG8zQbZtz4F6NN5fG15+nw4cOFYoF54vE4DQ0Ncw5M3b9/P+3t7WU9T4cPH2b//v1AdvXA5GWQC72+8Tz5G/OU9pB76RQXJ8bZEiytVzfuKb49MYElBD9SXUUkN1VzMZnihuPwQ1VVNNkW3YkkVzMOjZYkmpteG3BdbCFIak0ASCrNpoBN3POotyzuOy61UrLRthhRinrLoi2SNd601ijPQ1rl0yYMOQ4eGqU1zYFgwYt1x3F4K5HikcD8IhFGPA+B4ENBi6dratkaCs9+0jrFjBv/YrRZOtaE5+n06dNTspsWp41fLK2trYUcF+XyRyz2+iaw0r8YbbJMl98orTUZYMRTDOVzKylFr+uSUppYJkNSZV9rLjKcAKJWNulkvZQ029n4pz7XY8RT9LseTZZFXHkMeB4PHBdv8oPIDA8mUdvO5oNSqmT6L630gsLdbSHwcqsNjedpdsy48S9Gm8riW+MpHo9PWwQwGo3OqU7PXK/T1dU1pb2luP758+cL7cTjcdLpNEqpgmu1eNvzvJLtvGdrPtta6ynbwLy3Va7G2OQ+znfbr/fkum5hSnWt3NNCdUoqhaU0Ordf5/IdZXIeoBAQyzi8M5Hg/ESCEaWQWvHAcbjlOKQ8j4gQWYNHKdAaG9ggc9nKtSaYC+RukhKUR7UUbJCSuOPSaFmMe97D+3A9hq5ey/Yj96/QL6WQQrAtEGR7roxMfv+EUti56+ducE7bVm6Vnut5OLk++FEnP3z28rXt8n1aC/e0VnQq1mat3NNK6jQXfGs8xWKxaV9rbGxkcHBw0dc4d+5cSeHDAwcOFIyipbj+j//4j9PY2FiIqTp27Bh37tyhr68PgFu3bjEwMADAjRs3GB4eLlx7ZGQEgKtXrzI2NgbA5cuXSSQSAFy6dIlUKgXAxYsXcRynZN7bcRwuXrwIQCqV4tKlSwAkEgkuX74MwNjYGFevXgVgZGSkcM/Dw8PcuHEDgIGBAW7dugVAX18fd+7cAeD+/fvcv38fYNXd0/DwMA0NDViWtWbuaaE6pZSHevCA9Ohotv1bt8mMjZHWmk3377PZydDruExcv4GTTLHVttlz7x4ikyHuemy6eYuA54HWVF+/DlojPC+7DUjHofrmTRpti2bP5fEHD7KxUZkM+/r7sgV8x8cZunUbAGdinGBNDdKySMXjjN3L9j05OMR4b292e2CQ9EB2/I339pIcHGJUKZoGBwnk9Aj39mLn9Ijcv481MQFA1d27WMlkdvv2bYKZDB7AjZtMpNO+1ckPn73x8XFqamqwLGvN3NNa0SmRSBCJRLAsa83c00rpVC6jejl8G/PU3d3N/v37OXfu3JTCg62trbS3txcyj87ETDFPsVisxLN09uxZOjs76enpWdT183OmH3zwAZs2bSpYtJFIhEBuNY+UsmD1SinxPA8hRGE7P3c9n22gMO+d37YsqzAfPtft/NNLfrtcf+ey7dd78jyPVCpFVVVVQZvVfk8L0UlpzXfHR1Geota2EVJmPT1C8EE6wwfJJFuDQRJaI5TKpgwQApRiyFOELMmw4/JIMLdCTevs6/ntnOdppm1PCHodlx+uitAcDKA8Dy+TwQ6HCx6iQr+m2U4rxZ8nUwSUpsZ+2EeEmHVbAfc9xYcDFrvCYdrq6n2nk18+e0opkslkYdyshXtaKzoVa1N8/Gq+p5XSaXh4mMbGxlljnnyb52mmvA3TJeaaL5On5Nra2ojFYnR1dc1YQ2eu1x8cHKS1tRXLKr8GqDhfSvExS70thJjXdnG/FrPt13uCrOH8xBNPlLS9mu9pIduOUrhKE7QsRO61/P/J3BcVQmRzJxW/f1JSDQwrRYIig6k4ULV43wzbFtkM3z2Og5SSqIDRW7dpeLQVWfQeiaLrT95OKE1Ka2rzhlOuj8X9nW5bAtrzEFKSKTII8vhBp5n6slTbc7kPrfWCx41f72mt6DRZm7VwT37QaSZ8O23X2NgIPCxqWMxcUsLPRmdn55S4pfw1Y7HYklx/3759cxbCUDksy+LJJ59c99o4WuGip+RF6nVcRtXMRXZDOcNjo7345696S3Ij43DPcZCWRdOHHi8xnGZjQik8vfDyMgKBRuBqTdqfjnhfYMaNfzHaVB7fGk/RaJRoNDqtl+fAgQOLav/EiROFgol58tdqaWlZkutPTEwUpoUM/kFrbbQBHKVx9VTj6XquIO9sdeI22nbJKruFUm9l8zsN5wI4nWRyXtrEPW9RX2QaDULjasX7E+OLaGltY8aNfzHaVB7fGk+QLQo4OXgrHzQ2OQ5pvhw/fnxKpvCurq5CLZ2luP6tW7cKc6wG/6CU4saNG+teG1drFNnkliX7gdEFLv1fKBEpmFCapOcxdvduIa5pNlyt6Xc9qmT53o7Gk9y6NtvijqznadTzSOfiKQxTMePGvxhtKo+vjafOzs4p1ZxPnjxZEqgdj8dLVslNJp8mYDJtbW0lbcfjcY4fP87rr78+r+vPxN69e40b1YdYlmWmVMlO2002ObTOFsh1taZGVu7rISwEKa2ZEILGRx+d87TdiKcY14rqafr69l/e4jtvxsik3Rla0YCg0Q6QUt60ua/WO2bc+BejTeXxbcA4ZKfPzpw5Q2dnJ8899xyxWIympqYSj9HQ0BDnz58vmV6Lx+McO3aMeDxOLBbj9OnTQHaVXL78Snt7O11dXYXyLfkCi8UepblcfyZGR0epra01GV99htaasbGxda+No3XWbigikzOettr2FI/UciKFQAOjrks0lSJQXT0nbRK5eKdAmWM9VzE0kGD3nmb++5fe4eM/tYeG5uqp10bgaEW1FWDQUWS0JrIUN7XGMOPGvxhtKo9vUxWsZvKpCt566y2eeeYZ8zTgMzzP4+rVqzz22GPrWpsPEhPcTqXYGAwW9t3KOJxPJtli2wsOwF4o/a5LgxDs6e8jumtXyaq66biWznAxleKRMgV978SGiF0e4G/9xONce6+Pwd5xfuDjU1fR9rou22ybpyNhHmTSPFtXT1MgOOW49Y4ZN/7FaLN0rInyLKudxx9/3HyQfYhlWezZs2fda5NSHlaRfTTuKa5nMlQJWXHDCSAsJONAze7dczKcEkrR77pY00Rn3bw6yM7HmgDYsqOe/vtjZY+zydbhyz+xmzIt5THjxr8YbSqPMZ6WkXg8boJPfYjW2mgDpDxVYiTddRz6XI8Ga2W+FgICXKVIjI7OqE0+LuudZIpBz5s88wjAxFiagd5xtu2KAlBVE0QrTXIiM+VYS0BKZ4sNC0R2OtMwBTNu/IvRpvIY42kZGRwcNKsffIhSiv7+/nWtjZszQIqL644oRbUUFY11KiZfpDcxNDRjceC7rsv5RJJxpRj2PKJljL3bPUPsaG3CDjxMshdtriI+mJh63VyOJzcXAmY8T+Ux48a/GG0qjzGelpGZsosbVg7LstZ9bEBKeWS0IiiyXwGe1ox7iuAKBptagCMEcvv2aaftRjyPMU/R73mktKY1GMwWIJ7EgzujbNlRX7KvvjHCyFByyrG2yBmTaKSAjPkBKosZN/7FaFN5jPG0jAwNDZknAR+ilFr3XsGEp3C0LqxSS2lNWq+s8SSEQGtNajheNs+TozXvpdKMeR4jnse4UmVX2QGMDCZo3Fi6sq6huZqhvokpx9pC4JFdaWgJgbOOPxczYcaNfzHaVB5jPC0jZg7an5j4gKznCSgESSeUIq0htMLLnKXWOGPlA7tHPUXc88gAjZZFa5kVdkAhp1MwVJqJZdMjdfTdG8XzSn9gLMDVWeNMAG7ZKCqDGTf+xWhTeYzxtIy0tLQYN6oPsSxr3U+pppUqGfwTSgN6xeKd8tiWxdjmzWWn7UaVx4inSCtNUIhp89mMjaSoqQ9N2R8M2VTVhhiLp0r259vJ6Oz9m5in8phx41+MNpXHGE/LiAng8ydKKfr6+ta1NimlSoLFkz55LwJAengYz/NK9mut6XVdXDRx5ZWNc8ozHk9RWx8u+1p1bYiJsXTZ1xytkYCrjPFUDjNu/IvRpvIY42kZSSSmruwx+IP1rk16kvE0U/xQJakCvGSS0Uk/AmNKMeR6bLBsgogZY7PGRtLUTGs8BcsaTwJNSmkkAo9s2gLDVNb7uPEzRpvKYoynZWTnzp3ICtYHM8wNKSW7du1at9oorclohZ1LLqm1JqnUiiTGnEzYtundsIErjsN4UWzSiJeNyWqyLTYHZq4qNTYys+dpfHSq8WQLQUoppBAoDeb5fSrrfdz4GaNN5THv9DLS29tr3Kg+RCnFgwcP1q02rtZ4RTmeXCCtNYFpMnXPh2TCWVwDWrNzbIzbGYfrmQzpnEbDnjfnL6uxeHJaz9OmbXXcjQ3juVODxtOAIGtcesbzNIX1Pm78jNGm8hjjaRnJZKZmMzb4g/WsjaM1rtYFT1NK6VzagsW1mxjP8Cd/8O6U1WzzQmsCnkeTlNxyHL6bTBH3PHpdl2o5ewevvPuA+GCS+sbypX3rGiJU14WmpCyQQpBRCilAmWm7aVnP48bvGG0qizGelpHt27cbN6oPkVKyY8eOdauNoxWepuB5SmlFRrPoHE+jw0lcRzFwf3zhjUhJesMGamwbCTxwXN5PpRn1FLWz6KU8xdt/fZs9T29BzmBoNW2qYaCvtI8W4GQXHKIw03blWO/jxs8YbSqPeaeXkXv37hk3qg9RSnH37t11q42jNB4Pp+3SWqNh0WkKRoeTWLbkwZ2RhTeiFMHBQVCKZjsb29TveTTb1qz9Gx5I0Lihmqd+4JEZj2veVMNg7yTjSQgUGp2LeXL0+vxszMR6Hzd+xmhTeYzxZDCsMybnMUp6CrEEiSFH4yl2Pd7MvZsPk/X9dVcPd2JDC25zs20hNDOmJsgz1D8xJat4ORpzxlNxQkGLbIkaDXhoHJOuwGAwzMDMy1YMi2Lr1q3GjepDpJRs27ZtpbuxYiQ8tyQ0fHwBK+0mxtKMDifZ9Eg9Ugoe3B7h7vVhfugTjzIWT3L+Wzf4yMe2c7tnCMuSPNLSOLeGpSTT1FT4MywlkXGH+0PlczMVc//uGDXRMPd7p5ZgKcfNmyOEItks5Y7WjCnF1TFFyvNoarLZsCk4tz6vE9b7uPEzRpvKY4ynZeT27dvs3bvXGFA+QynFnTt3eOSRR9adNq7W9DoZqmQ2E7HWmtF55nh661vXuX55gFDEZvP2ep7+we38+R9fAbIB2T/yycf4H7//LpseqUMIGOwbp/fOCJseqZ+lZUApQoODpJuaQEpGRtP89u98H8edfTpiexj6M5D6y/tzOvbM/3OV1KRmv5L7PxyQvPlrP8a2aPnA8/XIeh43fsdoU3mM8bSMBIPmydWvrFdtHKXIKEVVroxDRmvSWhOcY5qCdMrlxgcDbN0Z5Qefb+Gbf/QBf/G1q2x6pI7eO6OEwtmvlG27G7j89n12PNZEdU2IP/+Tqzz53DYee3ITljXDl7sQaMuCfM29pIvjKv7+j7fQ3Fg+/QBkjcDv/PEHPP/3HsMOzF6i4v3v3mH/I3U0b60r7Ot1PZ4IBRkeSnLqj64xPJExxtMk1uu4WQ0YbSqLMZ6WkU2bNpmnAB8ipWTz5s0r3Y0VwdUaD7B4GCzuaE31TAZNEZfevs+mnQ20Pr2F/qEU2x5v5uK3b/L0j+7m8WcfKUyZ1W2sIfZ+P9FNtTTtiKK77/Hu39whFAmw+0PN019ACDKNU6f4mhvDbNk0fTxTYiJDMGSz/ZG6aY8p5kFjhHBAlrSpHIemUIja3Eo9k+uplPU8bvyO0abyGONpGbl58yb79u0zBpTPUEpx69atdbm0d3KCzJTWOHpuXwRDQ0nef/sBt5PwrfeGC/vDEj744+tTjq+xoOd8H+5bfUQk1Aeg7/7YzMaTUoT7+0lt2ADz0CY+kJg2t1M5ItUBUpMSeoaEYMjziObeG8esXCphPY8bv2O0qTzGeFpGqqqqVroLhmlYr9q4k9ISpNXc0xRcvdjLhAs/8cmZp9DKMTCU4ut/GuPmBwOEQhZPtG0lGCrz9SMEXihUmLabK3dvDLNlR3TOx1fVBLl3M16yLyIlY54i77tKG8/TFNbruFkNGG0qizGelpENGzaYpwAfIqVk48aNK92NFcFDU5yVIKUUzJKmwHE8vvVHH5AYzzDszj6FNh0pBc3b6hgZTHInNkzL3g1TDxICJxqdV7vKU9y7EefDz82c36mYuoYIH7zzoGRfWAhGydbQA0h53rz6sdZZz+PG7xhtKo/5ZV9GYrEYnvkC9h2e59HT07MutZmS40nrQoHg6bh5ZZChvgk0kF7ETJYC9j73CBu31TIxPk3qAaUI378P85gy67s/Rm00TKQqMOdzauvDjI2kSnM9CYGXK10DkFDr7/MxE+t53Pgdo03lMcbTMhKNRhE+qFRvKEUIsW61mRwEPT5LmgLPU1z7fi9/+yf38NyBR5ekD1U1IRLj5etwCdfFraqa17TdrWtD7Hi0afYDi7BsSVVNkJGh5JTXMsZ4Kst6Hjd+x2hTecy03TLS2Nhopu18iJSSpqb5/diuFfLFbyFrSCWVxp7m+zaTdvnun10n2lxF85YaHvQllqQP1bVBEmMZQkND7Pja19jy139NeGgoWxolEEC4LiLneRqob+a2aiGQ2AlMnSr0PMW9m/FZS7KUY/P2eu7fHiHa9DBWRPAw1imjNI5SBMwYBtb3uPE7RpvKY4ynZaSnp4ennnoKy5o974yhcnieRywWo6WlZd1pk1KqsNIuk0tTEJmmiO67f3OHQMjiuR/dvaRPtDtvXuG7tyb42JHf5Obf/Tt899d/nVQ+XkMpIvfvk9yyBaQk8b0rbPi//hs/c+RXcR7dzXuvvMJoS0uhreuXB2jaWE04MvcpuzwbttRy48pgyb6QEIzkpj5crUkZ46nAeh43fsdoU3mM8bSMNDU1Gc+TD5FSrttg/oxWhRxPGa1x0NSJqe+D1po714f55KEPI6cxrubLrqG7/Myv/Sf0jq3815af4X//n36Fn/r7z5QeJASZ+vrCtN3I1m186ZmfIPzzn+GJgRs88/nPk6mr43uf+Qyp5mauvPuAH/rEwqYT6xoijA6XTttVSclAzuvlaE2/k6HWNl+TsL7Hjd8x2lQe862wjJg5aH+Sjw9Yb2idLXib9zyltcabJsdTKuFg25LwPIKwp0N4Hj/0xd/muW/+Bd/498eJ7N/D/3R/jD/7w8skJzJEqosyIwuBV1NTtp3hffv41m/9FhvOn+fHfvmX6f75f4CT2Tav/E7FVNeGSI5n8DxVyHoeFIJ89qeAEIy67oLaXous13GzGjDaVB5jpi4jV65cMasffIjneVy+fHndaeORnYrKO5IyuZxP5Qz8ibEMVTWLL/cQ7uvj+V/6JSaamjn80/+C+CPbgeyU2fbWRvrvj5WeoBRVt2/PuNqu/9ln+frv/R7j1+7x6MBN7PTsRYPLIaWgqiYbf5XHArxcTH1ACBLKM5nGc6zXcbMaMNpUHmM8LSObN282blQfIqVk69at606blPLIaEUgN02X9NS0SQoS42mqa0OLul7j97/P3/7H/5gL//yf887fPzRlBV3DhiqG+ycFoQuRLQo8i8dWBYP8zY/+BPU7m2n/B/+AqvuzFwMuR1VNsGTlX9aQzBpLthRklCJtMo0D63fcrAaMNpXHvNPLSF1dnZm28yFCiHWpzYTnkdGaoBBoren1PEKT3oL7t+J8+2tXufAXN6mpn18W8WI2/+Vf8ty/+Td84wtfYHjv3rLHNDRXMzwwUbpTCLw5pioY6pvA/sEn+et/+2/50X/yT6jr6Zl3PyM1QRITk9MmZK9tI7OFk43xBKzfcbMaMNpUHmM8LSPvv/++caP6EM/zeO+999aVNp7W3EqlsMh+0Y4rzajnUV30pOo6Ht95M0Ym7eJkPFr2zFCDbgZ2/Mmf8MQXv8ibX/wi6TJFfvM0bqxmeCCB4xTpoBRVN2/OKUnm+Gia2vowo62tfOu3fosfPnKEhvfeKzlGa82Q6xVyN00mm3Oq/LSfJbI+qKQxnoD1OW5WC0abymOMp2XEFGn0J1JKdu3ata60SSvFhOdSn1s5NqI8UloTLnpSfXB7hObNNXz8p/by0uHnSgO558i2b36TR7/8Zf7s5Enc6plLuAQCFhu21NJ7e+ThTiFIbdo0q+dJa00q4RSyiic2b+Ybr7/OD/yrf0X9tWtorbnnuNxyXNJo7jrlA79r60OMTkmUOSkLu2eCxmF9jpvVgtGm8ph3ehmprq42blQfIoRYd9q4+ZV1uSm7O45DAFHyHgw8GGfTtroZWpmZjd/9Lnu/+EW+9R//Izowt1V6G7fV0XevKGhcCFQ4PKvxlE66BEMW0nr4FZZubORb/+k/8UOvvkro7l2kgO0Bm0bLIiAEqoz3adMj9fTeHUV5D71LVlEkWDZo3HieYH2Om9WC0aby+N54isViHD58mBMnTnDixAlOnTo1r/NPnTpFZ2dn2de6urro7Ozk8OHDHDhwoGzb+/fv5+zZs8TjceLxeKEfc8G4Uf2J53lcvHhxXWnjaIWrNRaChNbcGk6SGkxxv3ei8K/vwTielCX7iv8NDKWmbb/+6lWe+c3f5JuvvYYXnnus1MattaUr7pSi+vr1WaftEuNpqsp4xpKbNvHtf/fv+LFf/VXqhuPsDYd4PBQkLCg7dRcK24SrAkwUr7gr+v2xhSBlyrQA63PcrBaMNpXH13meYrEY+/fv5/r164UcFp2dnZw4cYIjR47MeN7x48cBOH36NB0dHVOO6erqoru7u3BcPB5n//79XLhwgZMnTxaO6+7u5tChQ4W/Ozo6Sl6fiZaWFuNG9SFSSh599NF1pU2+2K0QgjtDCf7gv76P65YaKK1VcP7GBDN9/QZsSVWk9GsjODzMD3V28s3XXpt1qm4ydQ0RJsbSuK7CtiUIQXLbtlk9T4N9E9QXlVUpZmzXLr7167/OT/yzf8bYH/w+NbZNjZSMK0W4jOZVNSEmxtPURrNGXz4Pls556tIqWyzYXudP9etx3KwWjDaVx9fG0/Hjx+no6ChJ/nX06FEaGhpmNJ5aWloKBs758+fLHnPy5EnOnDlT+DsajRa8UJ2dnbTkSkB0dHSwf/9+ANrb2wv750IkEjFuVB8ihCASWVhixdVKyvPQuY/iwEQG11X8/R9vobkxazA4GY/zXdf4X376QzO2UxWxqa97mMJAOA5/61d/le/+639NMl9iZR5IKahviDAymKBpU0122i44faxVPtbpxpUBnmjbOu1xd558khs/89M89ev/kvufO8aOYJDuZLKsEVRdGyzxPNm5aTuPrPGUUB6OUtjrvOzFehw3qwWjTeXxtZl6+vRpWltbS/blDamurq5FtX327Nkp03nPPvvslLZbW1vp6Oigo6NjXoYTwLvvvmvcqD7E8zzefvvtdaON1pp+xyGcy+80obMep+bGMFs2VbNlUzU1YYu66MO/p/tXbDgBPPdv/g09Bw8y+NRTC+5fw4ZqhvqzKQvG40lCV65NO233wbsP+O9feoe6hghbdkSnbTOjIf7ii+hwmIbf+z225mKfRsu0W1UTIjH2cMVdvlCyiyYgJI7WpLWJe1pv42Y1YbSpPL41nvIxRuUMlmg0Snd396LaP3jw4BTDbKa+5Kf55sOePXuMG9WHSCl54okn1o02Ga1JeB5hKdFaM+pNNQTGR1LUzjOv0/Y//VOk43D9p35qUf1raK5ieCCbLPM7f3ad80NB3v7OnYJBVcz1ywN8rL2VZ//Wrmlr7uUDvOssiwe//v+h/v/9Q2o+uEKTbZEqYzw1NFcx2Dte+Dv/qXB0tpSN0pQ9b72x3sbNasJoU3l8+07HYrFpX2tsbGRwcHDa1+fCmTNnpsRC5af42tvbC/vOnTtHV1dXwSt14MCBORtR4+PjjI6OFgzBdDqNUgqV+yIu3vY8r2Rb52JU5rOttZ6yDcx7WylVsl2uv3PZ9vM95adT19I9Tdf3tOfiorFyRlRS5QKn8wHUSjE2kqKmLpT1+BTtn267+s4d9n3xi3z31389u1/rh8fktpXWjHteqRdJF107t7+huYrh/glcx2N0OMn77/Ry5WIvb33zOjp/rtZkkhnSSYdHdtU/DOou08dhT9FiWzRJAZbF7X/3f7H1yKs0Og6upxh3vZLjN2ytzeabSmdTEli59jJKoTwPtOZOMsmDZHJZdVoNn708a+me1opOedbSPa2UTnPBt8bTbMTj8SVv8/jx4xw/frzE23Xy5EkOHjxINBqlra2Nw4cPlwSQz8Tu3buJRqM0NDTQ0NDAsWPHuHPnDn19fQDcunWLgYEBAG7cuMHw8DCQNRxHRrK5b65evcrYWHY10uXLl0kksk/oly5dIpXKrn66ePEijuOglOLixYsopXAch4sXLwKQSqW4dOkSAIlEgsuXLwMwNjbG1atXARgZGSkYrMPDw9y4cQOAgYEBbt26BUBfXx937twB4P79+9zPlcRYbffU39/Pd77zHZRSa+aeZtKp98EDPK1J9fUzOjBIOvclYY9nvS3h3l4mBsapqQ8TuX8fayLr8am6excrZzBU3b6NzNWQq4nF+OFXX+WvPvc5IvfuIXIGRvX166A1wvOovn6dMaUYTaawc30ECD94AICVTFJ19y4ADUFFYjTF3RtxmpvC/EirzScP7SMoNeOxXgACY2OM9TygcUM1oXicYE6D0OBgYTvc3481MoIGmvr7cXN6DDou9/+X/4Wn/tW/ZkfvA8by95e7J8uSNFYJxvqyx1fduwdkg+yHrlwlalkMplJ87913mfA8UqkUF3PJONfTeBoeHuav//qvUUqtmXtaKzqNjo7yV3/1Vyil1sw9rZROPXOsVCB0scnqI2KxGK2trZw7d67EEwTQ0NDASy+9NKdVb/v376e9vb2wqm46Dh06RGNj46xtztSvPKOjo9TX13P9+nUaGhoKFm0kEiGQy38jpSxYvVJKPM9DCFHYllIihJjXNmQt6+Jty7LQWs9rWymF1rqwXa6/c9n26z3lnzhs2y5os9rvaaa+92cyvJ0YZ7Md4Ibj0HVrmP/+xhU+/XN72bK5BpTizT+8zNM/tIOm5lxpFCGynpky2x/+T/+JTDTKlZ//+Yf7IesBKtruVYqolAw6LiLu8IXfu/TwmnkPlZSgNd/4w8sM9o7zgx9vYfuuerAsLn73Dsm0x5+e7+fTP7eXodtxtBB8uG0LuRuc0seU1oxpzY9EItRaEiFl1nslBFs6P0v3j/wI3T/6ozTYNsF8f4Xgwp/fINpUReu+jdx/MM4Xfv99PvOLH+ZHttUjpMTTmoFMmmfqotxPpxhzHD5UW0uTHVg340kpheu6BAKBgvdgtd/TWtGpWJvi41fzPa2UTsPDwzQ2NjIyMkJd3fR573y72q4xV9ahnIcpHo+XrMBbLKdOnSprOHV2dvLyyy/T1tY2pV8zTSvmqampmbHeUPH8tFW0kmept4UQ89ou7tditv18T3nX7Fq6p+m2vfznTwjuuR7Bor8BtBCMjaSpqQtnDZKHJ0/Zrr96lU1vvcWb/+W/TD2m+HMuBBlPEZISnYu1AhgYTpdNQ9CwuZaBB+PIqiAP+hLZc2yLex8MsiMM8YEEg/0JHvvwphn76HiKgICIbRXGncgd0/uv/xU/dOgQPfufJVlXS7BIg/qmKkbiyZL7yGiQuWNsIdBS0udkuJ9J42jN/XSa5kBwXY2npbgPv93TWtEpz1q6p5XWaSZ8azxFo1Gi0ShDQ0NlXz9w4MCSXCefALPYcMobZydOnKC1tbXEeMr3Zy4r7y5fvszHPvaxOYthqAxKKS5dusSTTz65LrRJKQ80JLVmzFNEig0OYCyeIhSyCYVn/joQnscP/vqv8+3f/M1Z8zCNeB4C2GTbDLseybBNwJb8P38y/UOHBD74g8slf28MZYul3Hy/j9REhsaNM4+7jNbUWIJAmf7pqir6/vm/oP3f/J+c/dxx6oukr6oJ0ntnpOT4CTU1SDzleUghaLRt4q5DRimCk97Ptcp6GzerCaNN5fGt8QTw0ksvTZl/zHt8ppsymw/d3d0MDQ2V5IzKr6w7ePBgIc9UMV1dXUSj0Tld/6mnnjIfZB9iWRZPP/30SnejYox5LkEpyGiNgy4Z9Epp/vLr19iyo37WdvadPMn1n/xJJrZtm/E4rTVxT7E5YLPRtrhnS9wam1/+pQ+TSM6/TlwkbPGX/+MDMmlvVgPP0ZoaMf0xiR/+Iar/n6+y85vfJH3g4RiuqgmSmMiUHDuhFI7WBUMs7XnEhaDetgkISb+TYcxzaZLzrwG4Gllv42Y1YbSpPL5+ZOrs7OTs2bMl+06ePDnFSzTTCrj8SrfJxGIxjh07RmNjI2fPni38K06Q2dbWVnL9eDzO8ePHef311+fU/2QyWbIKwuAPtNbrRhtPa8Zdj6CQpHW2vl2xOT/YO44Q8NQPPDJjOzU3b7L5O9/hys/93KzXHFWKWinZFw4RlpJGaZHWmvq60Kx5pLZsrGJbQ4AtG6sK+6L1Ydp/Zh/P//29s17bRVM9TQqDPD3/4l/ww7/1nwrB8ACR6iDJCafkuJTWDLkPV940BYIEhCAsLSwh0GiGnNJz1jLradysNow2lcfXnqeWlhbOnDlDZ2cnzz33HLFYjKamphJv0NDQEOfPny+Z3ovH4xw7dox4PE4sFuP06dNANuFl3su0f/9+4vH4FOMMKBhn7e3thfp3kDW4Tp48OWevVywWo7m52XiffIZSimvXrvHEE0+seW1SSpHRihrLJu56aEAWTWldefcBrU9sLCmwW46P/p//J9/91/961uk6gDGl2BcK0ZB7b6ssCcx+HgBaE7l7l4mdO0uuFQrbhMI1c2oiNMs0mqyp4W/+0ad56j/8B76XG9vBkIWT8fCKcmBpDb2uy6ZA9muy1i79uqy1bO6n02wLhala458jWF/jZrVhtKk8vjaeIOv9KY45mkxLS0thuWGeaDRaWF033eq5yedMR3t7+4KnCPft22c+yD7EsiyefPLJle5GRUgpj4zSBGzBhFIIHj6Zeq6i794YP9g+c7LYHV/7GvFHH+XGzp04rssGyyoxwFJKIYUgKARaawSCevvh5z4iJJKsF8yazfiSkonduxd0r/mn7tAs1wgIwbUXPsFHv/Jl6mIxRltasuUtqgKkEg89SUEhGC8T95SnWlrcc9P0Z9LsjJSvs7eWWE/jZrVhtKk8vp62W+1MTEwYN6oP0VqvG22ymbE1UgjiqmilHdlSKNGmKqwZvE5WIsG+U6fo/qf/lAmlCCIY9hRX05lCJu/bjkssk40XciC72q3oOhEpCAlRyC81I1ojU6mHiS/nc69aExKCqlk8TzYCWwj+8l/+Sz76f/wfhWtFaoIki+KeLAFJpfGm6YsQgmrL4l4mgzODkbVWWE/jZrVhtKk8xnhaRm7dulXIK2HwD0opbty4sS60GcutDnNyK+3y9e0ARoeSNG6snvH8j/yH/8D3Dx9mPBKhRkqqLUm/57LJtul3PdJKExSCQG5aLv938XUiQlAlBak5Gk/h3t4FGU/jStFoW9TMEvMUEGAhiO/YQf/TT7Prj/4IgKrqIInxogLBufdtJqOv1rIZ81zi7vwD4Vcb62ncrDaMNpXHGE/LyN69e820nQ+xLGtdTKlqrRlxHEJSklCKtNaEigyL4b5xNj0yfRK4mlu3iF65wu0XXsDVWaOoJRhkk2Wz2bbYFrAZ9DyCUhCUAldrJpSiybIIytK8M022xYSag0EkJYmdO0vzN82RtIZmyyrJeVMOW2Q9T67WfP+Xf5m9/+W/YKVSRKoDJUHjNuCgycxgPFlCIBFcTSa4OD5G3HVIK8X7E+Okc8n81grrZdysRow2lccYT8vI6OjomvryXCtordeFNiOey7jyiEiLpNLZZfdFr4/HUzRvrp32/P3Hj9OdC6jOaE21lGwJ2PxQdRWPh0NsCdgklCIARKXFXcfFQbMxMDWUclsgQFg8LNo7LVpjJRLz9jyNeYqQgAZr9jBOWwgCAlzAC4e5/Iu/yBNf/CKRSZ4nC3A1s043NgUCDOaSZ16emOBeOk1/JsN742NcSSbmdR9+Zr2Mm9WI0abyGONpGXnw4IFxo/oQpRT37t1b89oMOQ6uzmb5TmoFiIJXJiggVBXAtst/BWy4cAGnpob4hz4E5PIn5bxBNZYkIAQRKQlLSUhItgVthIB6abHJnmrA1EvJFjvA0GxFN7UmNDg4f+NJKbYFAjTZc3vyDktZiGW6/lM/xZZvf5t6lSqJecq/V5lZPGaWEGwPhYlIyZDrMOhkGPYcHmTS9KbT2SSla4D1Mm5WI0abymOMp2Xk8ccfN25UH2JZFnv27FnT2nha05fJEJHZexzzVEl+p5CE6rpQ+ZO15pnf/E26P/OZkt2TA7GrhSQiBBEp2B4IUCskIVk+u7cQgp3BAAEhSM9kjEhJYvv2eU/bKTTRIj1HXZeU8qYN9o4IgZt/SQje/mf/jLYv/8GURJkCnQu6nxkpBPV2gKZAgAeZNJuDITYFQ6S0IuGtjR+09TBuVitGm8pjjKdlJB6PGzeqD9Far3ltxj2PCeVRLbNFNUc8r2QJf0hCdX247Lm7/sf/oPejHyW1YQNxz2PYy+aHCk8yimosyc6gzfZggCopqbUk1TPEG9VZkiqR94JNg9ZY4+Pz8jx5ufQI+eSYjlIklMe45/Egk2bcmxrMHRYCryhtQ99zz7FxuJf0SOk0W1AI+jwPNcf+RKSV80JZBHI1/RKzedtWCeth3KxWjDaVxxhPy8jg4KBxo/oQpRT9/f1rWpsRx8FRioCUZLQmmQv4zpP1PE01noTjsPc//2e+f/gwAP2uR9xT2EKUBJvn2RsO80iukvvTkTD7wuUNMsjGGm0KWIwqNa1HCK0JjozMy3hKa024KEVBWiuqpMXTNXVsDARJlvH8BMp4tq787/+UTNJBF3nGaqUk7nmMzeOzUhywbgnJaBnjbTWyHsbNasVoU3mM8bSMtLa2GjeqD7Esi8cee2zNahN3He5n0oUpu7TWJTXaIGs81dRPnbZ77I03iP30T+NFIkDW81IrBVUi6zWaiYiUJavsyrErGGSzbXPfdcsW3kVKktu2zWvaLqU0VVIUckullKLWtmgMBNgUCuGU8XQFxdSc5+O7d1Pnpai/+P3CvrCUpDWMLHDqLSQFo647Z8+Vn1nr42Y1Y7SpPMZ4WkaGhobMk4APUUqtWa/goJPh3bExhlyHulzgdlprMjqb3wjAybgIAYFQaWC3TKdp/cpXuPKzPwtkp8OCUhC1LJpta1bDaC5US8lzkQitwSDD5aaztMYeHZ2X52lCKzbbNkIIBp0MY55HXW7VXZXMZkOf7OnKeuHEFKPG3tTI41/+csm+ADDoLmzqLSQlKeXNKW7K76zlcbPaMdpUHmM8LSNmDtqfrOX4gDHXZUJ5bA6GCqVQ8kvt8yVVJkbSpBVT8iF96Etf4srP/Rw6Nw2XyaU22BcOsS88TXD5AghKwaaAjSCba6kErbEnJuZsPGVy05EbcukREp5Hkx0o3GuVlV0NmJn0oxLMpStwJl0m1FjD3S07efbOe4V9VVIw4LmzrrorR1Bkp03XgvG0lsfNasdoU3mM8bSMtLS0GDeqD7Esa81OqU54HkEhS2rIpZUumaKaGEmRnvRbbiUS7PyTPyH20z9d2JfSmoiU1EiJPYeCwPOhybJotizuOC7jxVNiUpLasmXO03bjSlEjJXW5420pqbUsNgWDAISEzE29ld5wKJcV3aH0xyZSHeSdH36eX/7O2YIBVyUlSa3nFfdUuJ1cvb/kGkhXsJbHzWrHaFN5jPG0jJgAPn+ilKKvr2/NaaO1ZtzzCEyaXksoVTLQJ0bTU4ynvb/zO1z+B/8AXfTlm1KaxklFgJcKWwieioTYGbAZLtZBawLx+Jw8TymlGPEU22y7xFhsCgQJ5+K9hBA0BAKky3ieai1JctL+SHWQcRHkvY0t7P7Otwt9dbWesUjwTEghmFgDK+7W6rhZCxhtKo8xnpaRRGLtZBdea6xFbUa87JRdPlA8z5hSJSvtJnueAmNjPPLNb3Lj7/ydkvM8NHXTFA2ebIwshDrL4rFwiCoBI3njQmusdHpOxlO/6/FYKMgjwUDJfltOTqlgUdxbrTV9TobGXDB4MVXVAdIply989Kf5gd/9z4V+WAhGF2gABaVkxHXWxJTKWhw3awWjTWUxxtMysnPnTuQCanQZlhcpJbt27Vpz2ox7Ho7KZhTP42pNUulCsLhSmuREhkyRNbH3P/9nLv3Df1gyVeZoDYgpiTEhG1fUm0kzNs9iuOWMhwbLYmsg8LDunZSkNm2addrO1RpbCnYGAkQmHTt5ijEiLSQUgsYdrXGVxtEKASVB45GaIJmkw2i4hrsfeYZt3/wmAGEpsvmuFmAAhYQk6akZa+StBtbquFkLGG0qj3mnl5He3l7jRvUhSqk1WTrHzRk8xSSVJq0fep7GRlKEIoFCpI+VSLD129/m1gsvlJzX67o0WrJQkqWYlFJsCAYZm0ccT38mw410ip5kYsoUVq0lH3qGtCY4NDSr5ymjNUEE4SIvk6uz+aiCk1IqVFkWISELySodram2rGyJGlFau66qOkg6mTUK3/q5f8C+L3wBcnmkxpTiSro0A/lcCEqBswaCxtfquFkLGG0qjzGelpFMZv5ftIbKsBa1SStVEvsDkNSKjKZgPI0MJqguyu+050tf4oNf+AUoE9eUzxw+5TpaERISi2wZlJlQuQzbjlZsDATZHgox7GRKvD1hka0zdzPjMOS4CM+bm/EkREnW84zSBBAEJ/U5JCWPhMMklSLuOjhaEZTZbOghIUuMp1AkgJPO3lOqrp7BJ55g81//NREhGFeKB647fYLPabBz97cWatytxXGzVjDaVBZjPC0j27dvN25UHyKlZMeOHWtOm6zxVLovqTQaXQj6Hh9NE6nOrkSzMml2/OmfcuPv/t2ScxytsYWgYYaVOxuCQTYFQySUVzAKnDJPvfczaeKuQ1hKtofCfKiqhohllaQoqLck+8IhdgYDjAtINTfPOm2X1tl4rOJg9rxRFCpjCO4OR9hXXYOrNYOOQ0AIQpZFWOSnKLNIKQiGbexcE+8dPsyHX3sNIQSPBAKMKkXcU2SU5oNUekrA+ZiniJeJjdJCk1rlQeNrddysBYw2lce808uIqXLtT5RS3L17d81pk1beFM/TuPKQRVN5yYkMwUg2wPqpP/wK1w4dKllhB9nVeREhyk7ZKZ1NexCRFvuqa2iyA0x4HuOey4CToTeTLniVlNZIBFE7QLVlsTUUIpxLe1BssFRJyd5wiMdDQcJaYw0OwizaOFrTZJf229WaiCWn5K+C7Kq7LaEQj0WqaA4E2BwKERSSsGRKLFKkJkgw10SquZmxXbvYcP48wVwx4T7Xpc9zuZTO8P1kmhsZhweOywPH5TuJBOcTScYmZSQPCMn4Kjee1uq4WQsYbSqPMZ4MhjWAqzUZpbEmxTyNeKrEE5OccAiFbSzl8cTX/ohrL744pa1kLkVBoIwR4uSmy0Iym0uqORAgoxVjrsfGYIiItHiQSZPMFeWttW22h7MeJykEAZlNWlmuZEpESIKTDKtyqFwh4MnGndJMiXeazCOhMPuqa9kcDGW9T0IyuSeRmhDBomYu/sqv8ORv/RaQTZjZ67rcd1w0mtuOw1uJJG8lk7yTTDGuFKNKMTJpii4oJGPzKDBsMBj8jTGelpGtW7caN6oPkVKybdu2NaXNaC6zeKTIi+RozcSkNAXJiQyhSICffP/Pudz+yUI28Txaaxw0G+zS0i15MkoRyCWeBAhbFmgBaLaGQrTV1rEjHGFCeTTYAfZV17AtFC6UigGotu2yqQ6CUhCxbeINjTNO26W0JiIE1ZOO8dBlp+yKEULQGAhgiWxsVFiIQh6nPJGaYInxlNi8mdSGDTRdvEitlIzkpuai0mJbwGZHwCaaq+u31baRMCWtQUAI0kqRKWM0rhbW4rhZKxhtKo95p5eR27dvGzeqD1FKcevWrTWlzaibzZVdvEw/qVQhsDpPYiJDMGRx8GIXb//0S1PamdCaaiFptMvHO2W0otq2CtODYWlhS4HIrXKrsiz2VlXzXG09T9fWUV/GCKuzssbToDM1wLVRQKS/b8Zpu4RSVFuyUAg4jyabYXyuBGW2jbAQpIpKr0RqS40ngHd/5Vf48GuvEciVdUkoTbUUSJH9F85lYpdCEBaS4cnTdlKu+hV3a3HcrBWMNpXHGE/LSDBXIsLgP9aSNlprBl2H0KQpq6TSOeMp+7fnKVxH8cRf/hl/vrsNLzS1Xt2op9ho21O8OnkyWlNblISz2rII56bb8qvchBDU2nZJvqliqi2LLcFQ2RigasvGse2yq/+U1tx2XIY9xWbbmhrblAt0nyshIZAC6i2LRJFHqKomVHjP8ozv3AlaU3PrFhtsm60Be9rM6yEhSChVUgvPFtkixEuRXHQlWUvjZq1htKksxnhaRjZt2mTcqD5ESsnmzZvXjDZDrsOw41I9KfB72PMAUTAyUgmHSFWAtq/8Af/t6U9OaUdrjUKzITBDfSwNVdZDb5ItBDWWRa1lT0lWOR0Nts22cJigkFNigGosi0RDA+USIMQ9Rb2UbA3YbJxmWnFywPxMBKVEo9lgW2SKuhEM20gBnltq6LzX0cGHT56cQ7uCtNYkJ03RKbE0mdlXirU2btYSRpvKY97pZeTmzZvGjepDlFLcuHFjzWgzmss9VOzpSSrFLcehtiiJZGI8Q71OM7i7lbFQ9ZR20jobM1QvyxtPrtZYQhCZVLJlb3UNH6mtm3MNPCEEtZZNUJbGGgHUCtjc389EUf4oV2vGPMW4VrSEAny0KkLdJEMxn/l7PsZTQEhAUC2y6xHzbQghSCkYHSotdzHw9NPU3rxJcHh45nYhN0VXem8WrPppu7U0btYSRpvKY4ynZaSqqmqlu2CYhrWijdaauOsSnFTPbdDzmFCK2mKDaiLDtpvX+O7P/1LZtrLGk6RKljdA0koRkoKqScZVMJd+YD4EhSAg5JSVdQEhqKqqIlG0+4HrMuR5hIWgybLKJu700NhSzrrarpiQzBpNYSEITso0nvAg3jcx5Zz3f+mX2Ps7vzNju3lP32TP01pIV7BWxs1axGhTWYzxtIxs2LDBuFF9iJSSjRs3rgltBhyHIcehqsgT0+e6XEqmczE9D42a+NX7PJIaYnTLtrJtZbSm1pLTem9SyqPGsqdk8F4IAZldsTd59ZmQkvqmJrxcH7TWeBo22DZhIaedGnS0xkZMMSJnIixlzoiDiJSkioynMRf6746iJnmP7jz/PFv+8i+xUqkZ2w4KwT3HLYl7CghBSnnzzlDuF9bSuFlrGG0qj3mnl5FYLIa3yp801yKe59HT07MmtOnNpFFoIjlvUEIpPkilSWlNc5FB5XmKO9eHqfm7PzxtWxmtqZvhyzetNQ3TxBothMZAoFBvLo9WisD9ewS0wtWaYaWIWpKWYIDHQ8GyuacAXKUJSJGbipsbISmpkhZppWi2LBJFho6jIVwd4HbPUOlJQtBz8CCtZ8/O2HaDZXHf9biQTBam6kJSklJqSm2/1cJaGjdrDaNN5THG0zISjUbLZjs2rCxCiDWhjaMUcbc0UPxWxqHP89g4aTXa4OV7bB/tI/Xc09O2p5maOymPpzUSqLMDZV9fCBsCQSJSMjapPl5VbS1BkfUETSjFrmCA7bl/0+FoTVha84p5soRgczBEUnk02NaUZJmPPNZM7P3+Kef1/PRP0/rVr86YTiEgBFtti/uOy13HAbLTmxmlGC6TomE1sFbGzVrEaFN5jPG0jDQ2Nho3qg+RUtLU1LTqtUnlki7m43wySnPPcamTU6feBr91kR2PNU3b1sOyK9PHO4WFnLKibzHU2jZbQ2HGvIfFdoWU1DY0ELEkI7k4p+kSdpb0n9J8VnOlLmATEJIgYAlKAtijG6oZGUqQSZcadyoU4u6P/Rjbz52bsW1bCEJSMFCU8yliWTzIZFbl1N1aGTdrEaNN5THv9DJi3Kj+xPM8rl69uqq10VpzI5XEUaowlTXguYworyRIHMAbTxLzqqn6O9NP2WWDxZk2psjTGluKaafNFsqucIRqyyKZK2eilWLk5i02S0lSaZpte8apxOL+LSQWq9ays/XwtCaMKIl7klJQ1xBhdDg55bzLn/oUH/rSl2Ztv0pKhl2Pe46D1poaaTHmeYy65ZIx+Ju1MG7WKkabyrNkxtPo6Cg3btzg7bffZnR0dKmaXdWYJwF/IqVc9cH8Y57HgJNBiGweJ6U1txwHGzHF69T75b9gZyRDIDz9tFdCaWqkpGq6mCKtCUlrzukI5kpQShrsAOOel00VIASRxga2hII8GgqwMxiY01SEggUZdpbIFi5WOeNwcuqE+sYq4kNTjadMNEpiyxYa3n9/xvarhSCD5u1kij7PIyAlHoph15l3X1eatTBu1ipGm8qz4Hd6dHSUz3/+87zwwgtYlkVDQwMtLS20tbURjUaxLIumpiZeeOEFvvCFLyxln1cNZg7an6yF+IABJ0NaaTYHs1nCBzyPPsebUlZFeYoL41V86Gd+YMb2kjpbz26698TVumyKgKVgQzCILQTDrosQglBdHTWWxXNVVWyaR4C6PY9g8WLqLBtFtujvVOMpwmgZ4wng0j/6RzzxxS/O2LYQgi22jaPhTibrfQpLi4FMZtUVCV4L42atYrSpPPP+trlx4wYvvfQSu3fv5rvf/S4HDx7k/PnzDA0NoZQq/BsaGqKrq6vw+qOPPsrLL7/MjRs3luE2/MmVK1eMG9WHeJ7H5cuXV602jlI8yKSpLkpWOeYpPJgS9xP6i+9ST4ZAY+207WW0xhZMm7UbssZTeJmMp+ZAkC3BECml8DyP4VgMvYBkf9YCfzcsIUBAREjcSfZMfWOEkWmMp/iHPkSkv5/Q0FDZ10vasST9rkeyaOpuZJVN3a32cbOWMdpUnnmtO3799dc5efIk//yf/3NOnz4947H19fU888wzPPPMM7zyyisAnD17lo6ODj7xiU/wmc98ZuG9XiWYdPn+RErJ1q1bV602w67LmOexMfCwltWYp8oOZvtP/4LqH/nxGdtLKkWVkNRZM7wfgmlr1S0WSwh2RyIMOw6jyqN648ayte3yuFqTUaoktxW57OcLvT5ARAg8dMkTZdZ4SqC1LvtU/8Ev/AIf+tKXePdXf3XGa0SEYFh7jHqKzQEbB82Y59IQWLrVi8vNah83axmjTeWZs/H02c9+lubmZs6fP7/gix08eJCDBw/y+uuvc/ToUY4dOzbrObFYjOPHj9Pa2gpkp8I6OjrmfM1Tp07R09PD8ePHF9T2Yq5fV1dn3Kg+RAhBXV3dSndjwQw4GSQPf/S11owqb0qCyKp797gXbqB62/Sr7LLnKnYFAmWzhDtK0e9mQDOvHErzJSwtdkYiXBwfJ1pdPeO4uZ/O5rbaIcMIIQqxUgs1nmwhQGe9dpMn0oIhm3AkQHwwSUPz1AzOt59/nn0nT3LxV34FPYPnTgqBheB6JkOzbRFArLps46t93KxljDaVZ07G0/e+9z1efvllnnnmmSW56CuvvML3vvc93n77bZ5++ulpj4vFYuzfv5/r168TjUYB6Ozs5MSJExw5cmTG8/LG0unTp8saO3Npe6HXz/P+++/z7LPPYi3h8m7D4sm7uPfs2bPqtEkpxaCTKUkZkNCahFJTVsrt/b//b771+MfZ1hCZtr2hXLHdXdNUZB/zPBrsAEnPIzCP7N0LodaysdEMXuuhsWU3chptFJoqy8LVmoAQOLn/FzqtKEX2n4Wg3B1ub23k1rXBssYTUnLrk59k5x//MTf+3t+b8TrNtsWAl/U+BaRgzHWn9Wj5kdU8btY6RpvKM6dvm/z021LyzDPPzGg4ARw/fpyOjo6C4QJw9OhROjs7ZzyvpaWFkydPcvLkSVpaWhbc9kKvn2fHjh3GjepDpJTs2rVrVWoTdx0SSpXUl7ubcUhoTbjoR9hKpdjwve/RT4S6hvC07SWUojUUnBJo7mnN/Uyacc+l1rKptwOEltHzBFkPkCUEka1bENOVYcndewBRWHE45rlEpFXIsj5frNwKxeyTpJgSyL3j0SZu9wwVCgdP5urLL/P4G2/Mep2AyAakjypFSErGlUf32CjOKinmuprHzVrHaFN5luSd/sY3vrEUzUzh9OnThemyPHlDpqura9nbXuz1q2eZfjCsDEKIVamNoxQ3k0mCRTXrEkpxPeNQLWRJGoHdf/iHfPCTP0Uq6VBVEyrfns6WNKkvelLVWqO0ZsLzCApBcyDIo5Eq9lXXEFnmJ9qAEASkBeEwE8rD1VONinHPo8ayCFmSEc8lLCUWgh2h0KJiniRgCwgImDyZVhvNTg8mxstnBndqaxnZvZumd96Z9VoSwbjyiEgLWwgGnAzDqyRwfLWOm/WA0abyLNp4+sf/+B/T3t7Oyy+/XLL/zTff5O23315wu/F4nHg8XtZzFI1G6e7uXta2l+L6f/M3f8Pw8HChrXQ6XViNCJRse55Xsp1/yp3PttZ6yjYw722VW/U0uY/z3fbrPTmOw7vvvlvo32q5p0HXYdh1qM95WLRSjDouSa2JSvGwXIhStJ49yzt/+8epqQsh85E8SkGR9ySdCxSvzrUFcC+V4m46ScLzqJcW+6qrCUqJlevrcupkC4H0FH2XL5N0XYYyTqFfE47LvWSShPLYbAfYHQrzeKSKvZFq9tfUsi0cWbBOthAIpZG54sJe/n3UuvCeRZsixPsnSvcXbV/69KezaQsmnztpOwTEnayxFJUWQmsGnIzvP3sAruuWjJu1/B2x2u6pWJu1ck8rqdNcWLTx1NrayoULF6bEFT3//PP09PTw+c9/fkHtxmKxaV9rbGxkcHBwQe3Ote2luP4nPvEJGhsbaWhooKGhgWPHjnHnzh36+voAuHXrFgMDA0A2BcTw8HChfyMjIwBcvXqVsbExAC5fvkwikQDg0qVLpHKV3S9evIjjOCiluHjxIkopHMfh4sWLAKRSKS5dugRAIpHg8uXLAIyNjXH16lUARkZGCvc8PDxcSCkxMDDArVu3AOjr6+POnTsA3L9/n/v37wOsunsaHh4mHA4jpVw193TlyhUeZDLI8QTjt7P9TY+OMnznDkJoQqOjhPuzddi2/tmfMdLSwnBSE622COb6GxocLGwDyPFxGixJ8u490qOjeFqj7t0jlEhhSYG4cxedSFZMJyEEgcQEgVCQ5mCITHyYsXtZPYb6+6gaHqYlUgXDwzgDg+ytrmHswQPGcmNxoTpZQpC6fh0rkyEiBdX37hXeo+rr10FrGhojjF65m33fHIfqmzez2+k0VbdvM7ZrF8GRERq+/30ArIkJIrnPkj02Rri3F4D68THs3j6SSpEcHMIeHGIgk+Hm3bu+/ezldRobG8O2baSUa/47YrXd08TEBEIIpJRr5p5WSqeenh7mgtDTTeTPkd/4jd/g1Vdfnfb1kZERzpw5w6c//el5tdvd3c3+/fs5d+4c7e3tJa+1trbS3t7OyZMnZ21n//79tLe3l6y2m0vbhw8fXvD1R0dHqa+v5+bNm0Sj0YJ1G4lECOSWJkspC/ullHieV/jwe56HlBIhxLy2IWtZF29blpWdipnHtlIKrXVhu1x/57Jt7mnp7mnCcTg/MUZYSCJSIqQk6bp8eyKBJS1qpch6OKTkR//JP+HCkSP8xR1BdU2Ax5/cBFJmvR9CcL8vwRd+7xI/+dJjHNjVzM5cvFNSa9KuS7VtgxA8XVWNZVkV1Snluoy7LrZtcX50hKi0sCyL/kyaZ2vraAyGlkWn7w4PkURzz1N859YQ/+/pa3z65/ayZWMVCMH4aJpv/L/v8xP/81PYtiy812hd2H7k3DkaLl/m4j/9pyX7i7eVUjxwXH6wppqNlkRrzQPXYV9VNdtCYV9+9tbieDL3ZO5punsaHh6msbGRkZGRGVcwLtrz9Oqrr3L06FF+8zd/s2xZlvr6+gW1WxykPZmhOSSlW2zbS3H9W7duUV1dTTQaJRqNEgqFkFIWPjzF25ZllWzn567nsy2EmLINzHtbSlmyXa6/c9n26z1prQsu7tVyTwmy9ecillUIph4DJhBUSZHNiyQlkd5eZCbD+M6dDPaN07S5NvsDnr2RkvxJtpTUW1lDTEhJRivCts3emlr2VFdjF2Ucr5ROASG4c/kyVQhqLZsEGkcrglISsexl0ykcCKCAOmmhRC62K/eeIgQ19WGat9Ry89rQw/3FxwB3P/5xtn3rWwjPm/YYKSVKCoY9DyEl0rIISUm/6xT64rfPXn477znIj5u1/B2x2u6pWJu1ck8rqdNcWLTx9Pbbb3PmzBleffVVGhoaeO655zh69Cjf+MY3CvXuLly4MO92GxsbgWx80mTi8fiMxs1StL0U19+zZ09BHIN/kFLyxBNPrCpt0rknpvwAh2ywuKY0OeSe3/1dLv/iL+J5itHhJNFyy+tzhISgpug9yChNnW1TbVnUWPPKn7tk5LUJWBabg0ESnkdGZYv+LqTw71wJS5nLoj59wO0juxvovzd93U5tWdz9sR9j25/92YzXqhKSPtfFyzn9ayybEddlQvk779NqHDfrBaNN5Vn0O/1v/+2/5cyZM/T09PDGG2+wf/9+zpw5Q3t7Ow0NDezfv59Dhw7Nu928t2Y6L8+BAwcW3Oe5tL0U15+rBWuoPKtNm6TypgzWhFLIosxEwnXZ9Dd/w/0f+RHiAwnqGiJYM2QNr5KypJiux6Ss3StEXpvmYIgqadHvZKi3AwteTTcXQlKitCYiJMFpLhNtqiI+WL5US54r//P/zOP/7b/NeEytJRn2FH2uV7h2WmlGV8Gqu9U2btYTRpvKsujHywMHDhRyQO3evZuDBw8C2QCss2fPIoTg4x//+ILafumll6YEb+WDxibHIS1H24u9/nvvvcfHPvYx86H2GXkX95NPPrlqtBn3vCkZvkeVIlD0Q7/93DluHzgAQmSn7DbWzNhm/aSnVK3FspVgmSvF2lRbFrsjEUQKmpa5jElAZKfnIlIQnCafVU19mFQiw7f+xweMDiV57KlN7PnIlpJj0k1NONXV1Ny8yfjOndNcS6DRDHouWwJ2Yd+Q47A1NH1OrpVmNY6b9YLRpvIs+psyHo+XjXVqaWnhyJEjvPrqqwtecdfZ2cnZs2dL9uWTXxZf/8CBA9OmDsinCVhI23M5Zib27dtn3Kg+RErJk08+uWq0ySjFhOeWlF9xtWbC0yWFgB89c4arL70EwGDvBE2bqsu2l18jUlV0/0prpGBaw6FSTNbmkVCYttp6NgTKZ0BfKkIyW6JFApFppu6kFHz0x1po2lTDj/3kHnre6+f6BwNTjvvgU59iz+/+7ozXq5KSAdcrTN1FLMmw65BR/k2YudrGzXrCaFN5Fu15evXVV/nsZz/LRz/6UX7mZ36m5LV8nqeFxie1tLRw5swZOjs7ee6554jFYjQ1NZWkRRgaGuL8+fMl02vxeJxjx44Rj8eJxWKFIsatra2FsipzaXsux8zEXPNFGCpP8QoQvzPiuiSVKikEPKEUKa0KOZ9qbt3Cra4m09AAwFDfBE9+9JGy7SVz62vDk4wxW4iSabyVolgbIURJKZrlIigktsxmAK+Z4XOxdVeUrbuiAPzAx3fT/e1b7P5Qc8kxfc8+S9tv/AZWKoUXLu9JqpaSIc8j7ima7Gx29H4nk01O6uPP5WoaN+sNo01lWZKo0M997nO8+eabfOUrXykxoF577TVef/11Ojo65p2qIE9bWxttbW3Tvt7S0lLI1ZAnGo0WUhPM5CWare25HjMdly9fNtN2PkQpxaVLl1aNizvuOgAlGcTHlSKjdSE+5/Hf/30++PmfByCVdHBdj+ra8t6a8VxgcrGRMOK6NATsihgqM7FS2gSlJEC2Tl5kjgZk06YaUkmHxESGquqi91oIrv/kT7Lrj/6InlwYw5TrCYGroc91abItLJEtcDzheTQs8xTlQllt42Y9YbSpPEtmpj7//PNTPE+vvfYap0+f5nOf+9xSXWZV8dRTT5kPsg+xLIunn356VWjjak2/kympZQcw6ikEWc+McBw2nj9P7w/8AABDvRM0bpi+VIOeVP42rRQI2BGOlBhoK8FKaRMUgqCUOFplp/BgSo27yQgh2Li1lr47U8MWen7mZ2j98pdnPL9WCu45Lk7uOraQBUPZj6ymcbPeMNpUnmX38b344osLzvW02kkmk4X4EoN/0FqvGm3GPZeEp6gqWjXnaE2f6xLJxSftKAoUB7LB4pvKB4u7WmNNso/GPZdGO0CTvfIej5XSJj896GhNOOeRm4sZs+tDzbz/9n08rzRWya2uZrSlhcZcxvFyhIUgpRXJXJxTWEpGXNe3hYJX07hZbxhtKs+cjKfr169z9OjRJb3w0aNHF1X7bjUQi8UKGU0N/kEpxbVr11aFNgnPw0NjFwVy97oug55HXc6gKg4UBxjsm6BpY/lg8bTWBHOeJ61hwvNIK0VjIDCtp6qSrKQ21ZaFozSB3PvjzeF3aPMj9dQ3RvjyFy6QSZemGnj/l36Jvb/zO9OeGxACR0MqH8BvWSSUx5hPYyVX07hZbxhtKs+cjKfdu3fz0ksv8cILL3AzV9Npody4cYMXXniBAwcO8PTTTy+qLb+zb98+40b1IZZlrZrYgAnPY7JJ88BxCSCYGMuQ6P6AUSvMzUyQ+70T3L03xlDfOBkE93snpvy7+WCciXi25tS4chnzXFytV3yVXZ6V1CYsLRBg595wl7k9xX+svZVdjzfz7t/cKdk/8thjRHp7CZRZjQzZGDaN5lbGwdPZZKeKrCfQj6ymcbPeMNpUnjkHjD/zzDO88cYbvPTSSwgh6OzsnFf+pm984xu89tprjIyM8Nprr7F79+4FdXg1MTExQW1trS+e6A0P0VqTSCSoqqryvTbjnldi2KSUYsjzUOMuv/1f3+NXv/F/8/9t+QHO/162sGaVBU0B+J3TH8zYbiggscMWm4MhhpxMSRqElWQltQnLbMpRlbOZvDlOgQgheOZHdtD1lUv03Rtl49aH9bCuHTrEo2fO8P4/+kdlz220LO46LtuDHptsGxvBmE+TZa6mcbPeMNpUnnmttotGo3z961/nzTff5LXXXuPgwYOFIrlNTU2FsiZDQ0PE43EGBwfp6uqiu7ubtrY2PvvZz/Liiy8u1734jlu3brFx40bzNOAzlFLcuHGDPXv2+FqbuOsw7DolK+DGlCKpNDrtotMZPpG5xciRf8vTuS/M9797h+jGal7Y1TClvUHXo9G22BsKEQ5b1NUG2B4K42m94skx86ykNiEps6vgch4nNY/wkUDA4snntvHOd27z0R/bTbgqSChsc+uTn+QTP//zvP8P/2FJXcE8VVIy7HkMui6bbJuQlIx4bsET5SdWy7hZjxhtKs+CUhU8//zzPP/88wB8+ctf5q233uK73/1uIa9SNBqlpaWFxsZGOjo6aG9vXxeepsns3bvXfJB9iGVZ7Nu3b6W7MSsPMhlcpYkEHn6GBlwPBVhC8HzPd7nxfDtbNmeDw13H4zsDE/xPn3yUQGDq5851HJ6ORNgZDDDsOkSkJGrbPFlTi+2TH+qV1Cacq5+XD9j25jhtl2fb7gYGHozzp2feY8vuBh7NZR+/8ehe5Llvc/cj5VOejCvFuyKNFXaoq7IQVRYjrkujz1IWrJZxsx4x2lSeRed5evHFF9eVN2k+jI6Ommk7H6K1ZmxszNfapJWiP5Omxn5oBHlac99xqZGCJPAz3/8GF//Zb5H3MfXfH6NxY3VZw8nRmoAQ1OY8TGlPsTUYQgixNMneloiV1MYSghrLLqQOmJzSYTaEEOz+8Ca+caGPdM8w3/x+Nv/c1+1n+V9PvMYXfuJ/m/H83yc7nfp//KOnuBFIUG/X+cr7tBrGzXrFaFN5/PS9ueZ48OABW7ZsMd4nn6GU4t69ezz22GO+1EZrzf10igml2FyUVTyhNCmtqJWS0J3bjIWqSdVHC6/fvzXClh3l04KMK0WNlNRZMhvLI/BlMsaV1qbWsnBzxtPEcIqbliwpgTMbA0MpJhxNazTA3360lpYnNyHEE3zkyhv8k598hHRdXdnzeh2X6ITiv/6Pa1gZGHazwfxRH6SPyLPS2himx2hTeZbEeBodHeX06dP09PTw3HPP0dbWxq5du5ai6VXN448/bj7IPsSyLPbs2bPS3ZiWYdelJ5WkzrJKklYmtCKtoUkI9n7lDf7dR17gmdxrWmvu3xrhb/3E42XbTCrNlqCNLQTjnkuVtKiz/PfstNLaVFkWNVU2oYDkG19f2MrigC159sd280H3Pcb7xnn8qc3c+YWf5Yf//I+nDRwXjosYSgNgC4GjFCOOQ1op7qXT7ApHVtzYXWltDNNjtKk8i/72/N73vsf+/fuJRqOFArxCCA4cOMDJkyfZOU1l8fVAPB43blQforVmZGSE+vp6X2oTdx1craixSsurjLrZKBzLddn6/Xe48Ld+vGA8jY2kEAJq6kNl29Q8LASc9BSbgkFf1lBbaW2qLYtN9WH+XUcbsbE0H6TTNFnWvGLCqiI29XUhwiGLt755ncef2sytF16YMXC8WkruF+XoCUuLB04GL6PpzWSwhCBq2yv6eV1pbQzTY7SpPIv+9jx16hQ9PT0MDQ2hlKKnp4ff/u3fpr+/n5aWFr761a8uRT9XJYODgyZpmQ9RStHf3+9LbbTWDDoZwsKasr/P84gI2PH1r3P1R58v+RHuvz/Oxq11M5RkgZDM1k9ztKIxUL7u3Uqz0trkPXKRGpuPbY/SsrmWug0RtmyqnvO/+rqsAdu4oRrXUYyNpFDBIANPPcWGCxemua4gWbS8r862GXIcRlyXTcEgccchs8LZo1daG8P0GG0qz6KNp5aWlpKVdLt376ajo4MLFy7w1ltv8eqrr/LOO+8s9jKrktbWVjNt50Msy/JtbEBaKxKeKpQIyTOuNGOeR5WUPHrmDBd/8qdLXh8dSlDfFCnbZjyXsTogBJlcWoI623/3DiuvjRSCzcEQGaUICEGDJQsZwOeLEIItO+q5f2sEgA8+9Sk+9KUvlT3WEgIhstdxdXbqbmswxJZgiLC0yGhNUq1s5vGV1sYwPUabyrOsfvu2tjauXbvGa6+9tpyX8S15b5zBXyilfOsVnPA80lqV5F26mc5wPplkQms23LpFpr6eVF1pYPjIUJL6xvLG05Dnscm2CAlBSnlEpDWl0LBf8IM2EUsCAqU1UdsiswiHz5YdUe7figMwtmsX4aEhgiMjZY9tyGlyP1ccWAiBFAI7l3tqpZNn+kEbQ3mMNpVn0cZTR0fHrHXvWlpaFnuZVUk8HjeFGn2I1tqX2ng6G9+CphAoPup5XMs4jHuKjZbFnt/7PT74hV8oOW9kKMlYPEVD89R6duncKrvHQkGilkVaaaKBQEkgup/wgzZhaRGSIlskWAjEPPM9FbNxay3xgQSJiQwA1w4epPXLXy57bD6u6r7j8X4qVfIeRITkXjo956zny4EftDGUx2hTeRZtPMViMc6dO0dTUxO//Mu/zFe/+lVGJ9VyGhwcXOxlViUtLS3GjepDLMvy3ZSqpzVXkwlup1KFVVVKa95LpUlpRYNlEfE8Nrz9Nn3PPlty7p3YELv3bCAQnHo/Ka0JC0lD7l49NNU+9TqBP7QJS0lIWqSVIiJl1vOzwB8lO2Cx47EmbnwwAMCtT36SnX/yJ9mqzNMQ91yuZxziRV6EWttixHMZWUHvkx+0MZTHaFN5Fm08HTt2jJdffplPf/rTvPXWW7z44os0NDTw2GOP8fLLL/Pcc8/xsz/7s1PO+/znP7/YS/seE8DnT5RS9PX1+Uqbu6kUN5NJGgOBwpRdWmtGPcW4UgQF7PzTP+XWCy9MWa3Vd2+MjVtrp7SptWZMaRonrRabHE/lJ/ygTX5lW1J5hIUgiFhUsPYjuxu4dyMOMGvgOMBm2yapdSFWDcAWEjQkVjDuyQ/aGMpjtKk8i05V0NLSwquvvlqyr7u7mzfffJNz587R09NTSGXw7LPPsn//fp599lneeOMNPvOZzyz28r4mkUisdBcM0+A3bXqddM7j8dCwSWtNBk2zZSGE4NEzZ/jzf//vS85TniI+mKBxU82UNtNaExKwK5T1ZLlaYQvhmzp20+EHbertADdTKUJCEJBZ46lqgW01baphYjxNciJDpDrIB7/wC3zk3/97+id5EPNYQhAQggHXY3fxokgBSW9lg8b9oI2hPEabyrJo4+nw4cN89rOfpbm5mY6ODurq6mhra6Otra1gVF2/fp1z587R1dXFa6+9RjweXxe5KHbu3In0+Q/VekRK6askrp7WZJQmIEvHREppXK2ps21qb9wgHY2SiUZLjhkdShJtqsK2p37OklpTLSX1uc+gozQBhC/zO+XxizZ19sO4pxopGVjEdJmUgq07o9yODfH4k5sZ2727EDieqS+fEb5KSOKeR0ZpgrnPRVBIxlfQePKLNoapGG0qz6K/RXfv3s3nPvc5XnnllWljm/LpC06fPs3Q0BDXrl3jmWeeKXvsWqK3t9e4UX2IUooHDx74RhtXazytsSbVUktpBbl9j5cJFAcYejDG5u3lf4CTuSm7fHC4ozW2FPMqN1Jp/KJNlbSISIuU8qiVctE5lh7dt5Er7/aSSmZX0s0UOA4QloKU1kzoh+9DUGazw2dW6L3xizaGqRhtKs+SPYLW19eX5HuaiZaWlllX6K0FMpnMSnfBMA1+0sbVGg89pQjsmKeQgHCcsoHiAEO942zdFS3broemviiA1NWaKmn5dqVdHj9oI4Wg3rZJK02DZSERpNXCDaiG5mp2Pd5M97ezJV9uffKT7Pza16YNHA8IgaOzn4E8VdIiqRTxFQwa94M2hvIYbSrLivnvX3zxxZW6dMXYvn27mbbzIVJKduzY4RttHK3wNCXGk9aaEaUICcHOr32tbKC4BJy0R100PKXNvCeruugeM0pR4/PVOH7Spta2UVqz0bZosCTji3yq39u2hd47ozgZLxs4/uSTMwaOB4DeIkNJCoGF4E46uSJL0v2kjaEUo03lMe/0MnLv3j3jRvUhSinu3r3rG23KeZ5GlGLE86iWgkfPnuXaoUNTzquyoKYhXDZ+MJ3LUVSVi5dRWqOB6AoXl50NP2kTkbKQ4WmTbTOuFaOexx3Hpc91523AWJakcWM1ffeyqVw++IVfmDbjOECNlAx7Humi96LOtom77orEPvlJG0MpRpvKY4wng2GFSSmFmPQ73Oe4pHMZxdPRaNnA4qYAPPJo0zRtaqqkIJwzrFK5nEU11qLXiKwbipNl7goG2WjZjCrNzoCNIBuQP18ef3Izb33zOhf+4ibx7TtnzDgekoK01iSKrhOSkkyuVI/BYFg5jPG0jGzdutW4UX2IlJJt27b5RptxzyuZkdNac991qRaSD33pS2UDxT1XEZAQ3TA1qzhkk2NGcykOIJtpvMrKlmjxM37SJiwlQSnJKEVQCvaGg+yPhHkyEiYsJM4CjKctO+r5Oz//ERLjaa58vzcbOP6Vr5Q9NiAEroaJSd4ES8C4V/m4Jz9pYyjFaFN5zDu9jNy+fdu4UX2IUopbt26tuDaOUjzIpBlyMkSKsn47GjJaE3Ycmt95p2yg+MRoioxi2pQfCk1tUXxTSikabNv3KUL8og1kY9Ai0qLPyaC0ZoNtsyMYICAE1dbCV+AFAhZPtG3l1tXBWTOOCzSjk7xMISkZdhxUheOe/KSNoRSjTeUxxtMyEgwGZz/IsCL4QZsh1+G98XHGPa8kkDutNY7WPHbu69z85CenBIoDjA0lSU3zPZmtfyaI5OKdtNYgoMZeHVN2ftAmT41lEbVtxiZ5euqkJKn0ggO3GzdW47qK4XGPwSefZEN3d9njIkIy4HolNe0i0iKhvBXJNu4nbQylGG0qizGelpFNmzYZN6oPkVKyefPmFdcm4Xm4WrM5GCpJH5DUCkfDnrNn6Tl4sOy5I4MJEtP8dg55Hs2WJJq7v2Ru1d5qiHfyizZ5dkeqaAgEGHFL8yttDthEpFhQ3BNkPYY7H23ixpUBLs8QOF5jSeJKMVzkfQoKQVopBiu8NN1v2hgeYrSpPOadXkZu3rxp3Kg+RCnFjRs3VlQbrTVx1y1kjy7mZsah/nqMdGNj2UBx1/EYGUyQnMZ4yuSmmPJlWCY8j+ZAkGqfpykAf2hTjC0Ej0aqaAwESla9RaWkVkpSi8j9tHtPMzevDDC0bQfhwUFCY6NTjgkKgdKae85Dz5fIGcK30ikSFQwc95s2hocYbSqPMZ6WkaqqhVbDMiw3K63NuOcRd50pBk0652X4oT94o2ygOMD3z9+lYWMNM/1sRoqeQF2tfJ+ioJiV1mYyNZZNlbRKAsSFEDTYVi4L/MKorg2xeUeUq9/vpefFF9n3x39Y9rg6afHAcUkU/TDWWhYTnkdvJr3g6y8Ev2ljeIjRprIY42kZ2bBhg3Gj+hApJRs3blxRbR5k0tlcTLLUeEpojZNOs/niu/Tv3z/lPNfxuH55gEc/srlsuzqXzymfokBpjRCCKul/rxP4Q5tyVFsWmUmGUtSy8GBRCSufaNvK1e/3cvX5T7DnG18vGzheIwVjWtPnPjSXhRBUWRa9mUzFAsf9qo3BaLMSmHd6GYnFYngmH4vv8DyPnp6eFdMmoxS9mQx1ZabRhlyX1q/9Kbd+/MfLBoo/uD1C8+Ya7EB5Y8glO9UUyk0HZrQiKESJJ8rPrLQ201Fr22goCdyuy03dPXAX3teauhC7HmvmG1/r4daeJ/nI/StTjhFCUCXgdiaDW3T9sJSklEeqQlM1ftXGYLRZCVbHN+oqJRqN+n5p+HpECLGi2oy4LgnlTfEGpZTiZsblma9+hWvTBIrfjg2zbXfDtG1ntCbEw+SYGaUJSasQ/+R3Vlqb6WiyAzRYNiNF5VLqLIuWYBAPXWJUzZePfGw7dQ0R/vuP/BQ/+86flj2m3rIY9hQDbnHgeDZdQqWMJ79qYzDarASr4xt1ldLY2GjcqD5ESklTU9OKaJNSHnfSKdBMKdDb63rInh5UUxNOXV3Ja1prLnXfY2QwwSOzGU9SFJJhJpVHreX/YsB5VlKbmQhIybZwmJTySqbptgcCNFsW9xyXYc9b8BTersebuZ0O0pyIExwfm3p9IRDAtXSmYKhJIdBkP1OVwK/aGIw2K4Hv1y7HYjGOHz9Oa2srkPXmdHR0LPq8EydO0NPTw/79+2lsbJxy/sHck//+/fs5evQo7e3tAJw6dQqAI0eOzNqHnp4ennrqKaxVsMppPeF5HrFYjJaWlopqo7UmlkhwJ52iOTA1J8s9x+Gj/+33+eBTn5r62s04t3uG+Nt/bw/BkA2UDxROK82GQDYZZkYpJIItodBS38qysVLazIWoHcjlWFKFQP+gFHw4EubdZIoRpbjjutRJSf08+75hay0To2m+/NQB/t4f/yH3/+nU77hG22LI8xj2PJpzObsEVGzFnZ+1We8YbSqPr42nWCzG/v37uX79OtFoFIDOzk5OnDgxo/Eyl/N6enoKhtBk2traCsZTd3c3h4qKsnZ0dHDy5Mk59d88CfgTKeWKBPMPuy73nQybg6Ep02hppZhIpdjy/e/z3r/8l1POvXl1kD0f2UwoMvOqORdNg51te8xziQZsGuzVs9JupbSZC9WWxdZQiFgqUbJKssGy+MGqCG8lU/S5LgOuR22u/3P1+FmWpHFTDec/9FFe/cbnuf+/vjIl5i0oBJ6GS6k0P1hlEZSCoJAMOA71mQwbljlJop+1We8YbSqPr42n48eP09HRUTCAAI4ePUpDQ8OMxtNczyvnYj9x4kTBcIKssbQ/t+qpvb2dlpaWOfffzEH7k3x8QKXIr4C7k07haV02/iihNbv+5E+mDRQf6pvg6R/aMeN10kpjCUFNrv201myalIDT71Ram/lSZ9tk/T2lhKTkQ6EgNjDgedzLxSY1W5KQEHP6Hnjk0Sbu3hzhwWN7aH7nHQaefnrKMZtti/uuS5/n8ogMUGtZ9DsZriYnaAwEsJZRa79rs54x2lQeX5upp0+fLky75cl/QLq6uhZ13oEDB6ac193dTTQaLTGQWltb6ejooKOjY16GE8CVK1fM6gcf4nkely9frog2cdfhu2MjXE5M0JfJ0DiNF2jMU+z7yle4XiZQ3HUVmbRLpGpmD9Kw57HFtmmwLFytCAhB7SrIKl5MJbVZCFXSwhYCp0yQ9gbb5rmqCE9HwnwkEqLZshhTir453kt1fRhXw1f/1ot86L/+17LHWEJgI3iQS5oZkJINgSBJpRhf5vfM79qsZ4w2lce3xlM8Hicej5c1WKLRKN3T1IKa63kHy/xInTx5smw8VTwep6ura9prTodJl+9PpJRs3bp12bXRWnMnleJeOs39TBqNJljmmlprEleukGxunhIoDjA+kqKmLjyr98IFNts2lhC4WmORnepZTVRKm4USsSzCQk67ws0SgkcCAVqCQT5WHeGJcBhHa9JKl6QZmI77aXi/T6MH4wTGpgaOA1RLybDnFTKeB6TE0ZqJSfX3lhq/a7OeMdpUHt++07FYbNrXGhsbGRwcXNLzOjs7OX78+JT9586do6uri2dzle0PHDgwZyNKKcXY2FjBoEun0yilCin0i7c9zyvZzk8pzmdbaz1lG5j3tlKqZLtcf+ey7dd70lpTU1ODEGJZ72nc8+hLp9gSDFJjWTRJq3Afquie+h2HR373d7n28z8P+R9lrQvb/ffHaGiKTNlf+BtwlCKgFTWWRCuF6ylsIbFy/V8tOmmtqa6uXpA2lbgnWwjqLYtkLmVBXsv8ts5dU2uNpTXbAjabLYth16HX9XiQcbiTTmezhRdrmfvb0dCwqZqvfeJlWr761cL+4mMiUpB0PUbz11UKS0PcdZdVJ6BEm7X8HbHa7qlYm7VyTyup01zwrfE0G/F4fMnOi8VixOPxsnPGJ0+e5ODBg0SjUdra2jh8+HBJAPlM7Ny5k/r6ehoaGmhoaODYsWPcuXOHvr4+AG7dusXAwAAAN27cYHh4uNCfkZERAK5evcpY7gn08uXLJBIJAC5dukQqlQLg4sWLOI6DUoqLFy+ilMJxHC5evAhAKpXi0qVLwP+/vfeOr+u67ny/e59yC9pFZQErWMQiqpCUuyxbJu04sWMnpuxJPEns2KEyyUzKZGw+Zea9tJlxqEle8jJJJpTTxiWJLU5iJ05sh7TjEldJlESKnQDBAqIDF+W2U/Z+f9yLS4AoBEjg4gLc388HHx6efs7v7nPWWXvttSCdTnPu3DkARkZGuHjxIgBDQ0NFw3NwcJD29nYA+vr6uHr1KgA9PT1cv34dgM7OTjo7OwGW3DX19PTw3e9+lzAMF/SaBnyPdOtl3CAkJi2SFy+hggCtFAMXLqKVQgUBQ6+cZsXp04w88AAVV64AIHM54teuoUJF2+lutibyjdxKpYgVzhHALXwMiKEhGvr7iQtBpn+AdHc3jhD0dnUtKZ36+/uL2pTrb69KabJtlwm1JshmSV6+DICfSpEs/Ma8kRGGrl7DEYKdXo5HhpLsiEZwhofZMDjIkFIM9fUhe3vzOg4O4gzna9s119o8ZzWx/h//kWhvL07h3KPd3dgjI9hCUNfdzeBQfv1keztuNksy8Dm7gDoNDAzwne98hzAMl/0zYqld09DQEN/61rcIw3DZXNNi6dTa2spsEPpuagssIG1tbWzatIljx44V0wSMUVtby3vf+94pR73dyXZPPvkk+/fvn7Irby77H2N4eJiamhrOnj3LqlWrihZtLBbDKdQYk1IWrV4pJWEYIoQoTkspEULMaRrylvX4acvKezvmMq2Uyn85F6anOt/ZTJfrNYVhSDqdprKysqjNfF+TFoLnR4bJhQEJx81/rYchonAdWimElAyHIYN/9ddUjYzQ9oEP5L0MUub/1ZozL3Ux0JPi9ftbEJZVnN/Zm+FPP32GD//4dlatrKTfD6gQ8IaqSrJhSCoMqHMjPFBRuaR0uhttSnVNuTDk1PAQvWGIFNBk2Vi2nT9frRFSTpwunFcGuJTNscFxyAAdnsdlz2Ot6yK0prMnzZ/+1Vk+9GPbOPu9a+w//y1q37qX/oceyg8iUCr/rxAM+T4KwWsq41QJga81Qypkd7yShOsuiE5KKVKpVFGb5fyMWGrXNF6b8esv5WtaLJ0GBwepq6tjaGiI6inCKMYoW8/TWO6lqTxF03mJ7nS7z372s+zevXvS/EOHDk3qohvb/0zdg2OsXr2ampoaEokEiUSCSCSClLL44xk/bVnWhOmx+Ja5TAshJk0Dc56WUk6Ynup8ZzNdrtdkWRZVVVXFhjPf16SE4Go2w1AQUOU4xfly3HWMTV8LAu773Oe49p735F+MhX0jBEPJHJde6WbPo+vzhlNhfnGdsf+TfzE3uC4h0BV4DClFtHCuS0mnu9GmVNcUsSzur6lhR2UlESnxCtsJIYrG8YRpKRFSEpeSB+Ixqh2bFY7NtliUattmWKm8pmP7kZI9j27g75seZt1ff/bm6Mtx61TbNqPAVd9HSIlrWQRKkS0ceyF0klJO0GY5PyOW2jWN12a5XNNi6jQbytZ4GjM4BgYGplw+1Wi5O9nu+PHj0waYP/300zz//PMT5o3tdzYj706fPj3r/lND6QjDkFOnTi2YNj2+x/l0mkrLwhbTN7G0UmTOnMNrapoyUPzl71zl/letIVYxc/6eUGsk0GhbhFoTFRIBS6ae3XgWWpv5Iiot1kWixKRF7paCwbMlLiVrHYcRNdn5n6iP07y1kX+ObcKeInBcCEFCSjr9gEzha1oIwcgCBo0vFW3uRYw2paesn67vfe97J/U/jnl8pusym+t2M3mQxvJFjef48eMkEokZjz9GS0tL0bI1lA9SSjZv3rwg2oRa05nLEbUkVfbMaQKGQsWOT3+KS1NkFFehor8nxbpNk7Pf34qnNRGRfxkHWhMtDKd3xjwWS4iF1Ga+EUKQcJziqLc7odG2sQT4U0RP7NjTzOm12+l69htTblshBSNKMVh4YUalZMD376rO3kwsJW3uNYw2paes7/ShQ4c4evTohHlHjhyZELOUTCYnjYCbzXZjzBQctnv37gn7SSaTHD58mI9//OOzOv9YLFZ0BRrKByHEgmkz4PsMBj7Vs8ivlMukaTx/noGHH560LDmQobI6gu3c3oXsaY0r8skYfa2ISIkrJc4MXq9yZSG1WQiqLJucUlPmfZoNNZakRkqGw8nbR6I2r3vPA3wvXYXvTfYoSCGwoFgsuEJapFS4YN6npabNvYTRpvSUdQa9lpYWnn32WQ4dOsQjjzxCW1sb9fX1E7xBAwMDPP/88xO66Waz3RibNm2atgtu3759HD9+nEOHDgF5L9WRI0dm5XUCOHnyJK997Wtn3YdqKA1jLu5du3bNqzYjQcDFTH60iTPDF2B/EJLTiorPfZ7zP/hDU67T0T7IyrU1szqupzUNtoUlBKHW2FJQZzs4cuk9SBdKm4WiyrKocxy6fI+1keict7eFYL3j8HI2R24Kj5FbW8U2v5/Or7zMurdPjsuskJKeIMDXGkdKAl+T9H0SC1CSZ6lpcy9htCk9ZTvabikzNtqut7eX+vp68zVQZmit8X0fZ1ww93zQlklzLp1i9QwlUXqDgBPpLKNa8f6f/EmOP/MMkaqqSef3pc+8wmv3byJRH59yP53dqfxou/fvIKxz2RGJcF80QpeXY2M0xrpoDFfMrixIObFQ2iwkN3JZzqVTVFn2lKV3bofSmrO5HN+6luQLn7nAh9+/g1UrKorLxclz/NM3e3jDv30VVTUTDbRAa3qCkNdWxGiybQYDn6iQ7K2umfdSLUtRm3sFo838Mfb+XrKj7ZYD5gugfJlvbQKt6fY8Ki1rWsMpGYacyebwtOaB1lbCtWsnGU4AQwMZAGrqYrM8uqDCKqRA0Pks2BEpl+xDdKm1m5VuhCrLIn2HwbpSCNY7LrFpuln1A9t49MZJrp3unLTMFgKNprtQrqVSWoyqcMFKtSw1be4ljDalxRhPC8jp06eLeSUM5cP4ZG3zxXAQMBoGVE4T65RTipOZLINhSJNtse2Tn+TcT/3UlOtevzxI88baWRk/ntbYAuJjL14B7hKMdRpjIbRZaKQQNDouaXXnBkulJam3p3/5rdy1lo5XbqCmGJlXJSXd47vulL5jQ24mlqI29wpGm9KzdJ+yS4CdO3ea0Q9liJSSXbt2zas2/b6H0nlPwJTLw5C+MF+418lkqG5rY2DnzinX7bg8yJqW2lkdd1Qp6iyLhCWLKQvcJRjrNMZCaFMK6h2XmJQMBwF3GglRNcM1Z979NhoHe7jRPjhpWVxK0loXg84FkL0LQ246lqo29wJGm9Jj7vQCYnJulC/zqY2nFD2eR8UMbvP+IMQi76Vo+fu/5/IP//CU640MZfG9kNqGqWOdbsXXmvWugyyMtHOEILKEPU+wNNtNlW2zIRoj0Ipu3ysaUAO+z0gQ4ClFcJt8UPGC0aumML7CaJQ3Bh1c+k7bJOPMFoJAQ1+h3p4tBcPjanXNJ0tRm3sFo01pWdpP2TLn3Llzxo1ahiilOHPmzLxpMxQEjIbhtMZTVim6goCKwlfhxs9/nrZ3vWvKdTsuD9K8IXHbLruxvEAbXIeVhXxSvtK4hTQFS5X51qaUrI/G2FlRhSMEntZkVEiIZiDw6fc9ejyfjAoZ8P0pDZt4Qbcb/Rk6u1OT/nrf/AZk7wDnTvdOWsaozxXPZ7jwO+z1PPp8f16vbylrs9wx2pSesk5VsNR54IEHTBBfGWJZFg899NC87W8g8EEw5eimM9kso6FiWCnW2DZ1p08zvHEjYXyyZ0lrzdVLAzz8unUzHi/UmoFCF806xy12Ffpak7DseR9lVUrmW5tSIoSg3nGIS4uMCskqRb3tUGVZRISk08vR63nELAtfa9xbdGqocHFsyZe+3D7tMX7xpW/yt1Y11/yJzxXHlrzr326jJ+KwORIhJUKu5TI0zOPoq6WszXLHaFN6jPG0gGQymWK9IUP5oLUmm80SjUbvWhtPKXo9j0o52UjOKMV1PyClNLUyPwpv2yc+wZkPfnDKfZ1/uQshoWFV5YzH7A4Caguj6+xxp5/TiqolbqzPpzaLgRSCWsfhdGqUKstmQyxGre3Q7/t0ejlqbBtBvpDvrUV3Gmui/PrPPMR3B0ZpnGbU5prqi9QHmje9cwuRWD6XU99Als99sQ2yIZ1+wDrHpcKyGA7ypVvi8/SbWOraLGeMNqVn6fr3lwBtbW3GjVqGKKW4dOnSvGiTDALSKpzyBdUfhoyGilpLUmVJ7FSKyuvXSW7bNsU5ac6/3MXr37p5xodfqDUawTp36iSI8VlkNi9n5lObxaLGtmlwHNZGo9Ta+Xi0Csui2rZpcFwiMh+fNhWba+OsX1lJdWOcVSsqJv2l3v8jvP76y6T6U8V5DXX53E/VUtIbKjr8fK6nnNbzmm18OWizXDHalB5jPC0gO3fuNN12ZYhlWfOWibfHyyGY2GXna01PENCa84hIUYx12vS3f0vrj/zIlPsZ7E0Rr3SJV0ZmPN74Onbj8ZXCRhCzlnaTnk9tFos622FjNM7mWLzoPYpbFg9WVrMpFidu2fhTpByAfDHnFbbN8DSj5cJYjD1OkvaTN1C3lHSRQhAXgqu+TwBYCHo9b96uazlos1wx2pSepf2kLXNSqdSCjHgx3B1a63nRZtD36fM9qsZ5e4bDkOfTGb6bzjAcKhrGPcw2fOELtL/jHVPuq/Pa0G3LsWitGVWKiJC4TPROjYYhVZY14VyWIvOlzWLiSMmaaHRS7FmFZeFKSZVlEaDp8z2Gg8meoTWOgy0E2Wm8CAPvP8CqZDfdHcOTltVYksFQ0RsEVFoWA75PZp5GYS0HbZYrRpvSs7SftGXO1atXaWpqMl8DZYZSivb2drZt23bH2uSU4kI6hac1tVLSO5RlOO3zSjZHdxDQYFnYQtBdWH/V6ZNcX7eJ60MhDKUm7e9a2yAbdzblR05NQzIMCYFVts2NkZsvXa01aRWyMRpb0sHiMD/alDsRKVFKE0oYDv1JWenrrLz3qcsPWDnFyMmhzZt5sOcfONO2jVXrEhOW2UJgC2jL+TwSj5JWIQOBT/M83Mt7QZulitGm9BjjaQHZvn27+SGXIZZlsXOaBJWz5Wo2w2Dgs9KN0Dec49/9yfN4/vTxBh/74h/zq6/6Udo+fWbSMgm0xOHZL1+Z0zlEHEl13MkHBUuLevfWEOSlx3xoU+5EpYVrSSqkRVaEeFoRFTefE0IIVjk213wfpfWUgeMVr97J4PkOeNPmScvqLYvuIGQgVESlxfVslibHnbFY9Wy4F7RZqhhtSo8xnhaQ4eFhM9quDNFaMzIycsfapMKQXt+n0rKRQjCc9vF8xWv2raOhLkqTPdGTEB0eYvf3FI//wlt5fIr99VxL0t85wptetXbaY/paM6wUD0SjJApxTdVxh/rqCJ1ejg3R2IxJOpcKd6vNUqDasljpRqixba5ns+RU3sgZT51lUSkkKaWpsibfh+wPvZnRP/k22VRu0jJbCAT5uLv7oxF6fI/+gqF/N9wL2ixVjDalxxhPC0hXVxerVq0y3qcyQynFjRs32LJly5y1CbXmbGqEId+nqeDpGYv9Xd8YZ+uqyYV+7/+7T3Ltp97PqhUVU+7zwvPX2bKjadrlAJ1+wH22xUPxiV1z/b5HtWWzKnJ3L8Zy4W60WSoIIdgRr0AIwVAQ0JWbbADFpWSFY3PZ86iaahCA47BVDNPzpedx3vDQpMXV0qLLD9jkujhCcCWTIVCaJte94ySq94I2SxWjTekxAeMLyNatW80PuQyxLOuOYwOSgc9AEFDnOMVukEwhSDMy1RefUqw9doyrb33rlPu7+Eo32bRP88bpa9nllEIK2BpxJxhOWmtySrE+FiNhT526YKlxN9osJca8A1WWhc/UQb4rHRtb5EutTMXGd+zhTOfUtfQqpCClFJ2+T53tkFIhr6RGGAzuPOv4vaLNUsRoU3qM8bSAJJNJM/qhDNFa37E2vX7+VRezLJTWdPsBNwplMKZy4zZ/7WvcePRRtD156fmTXVx6pYdH374VOUMx36FC8d+6Wx6M6bFYp2ViOMHdabMUiUoLAVNeb5Nlscl1GJomrYG1YTW1forw0rVJy4QQVFiSjsJovgbHRQgx5ei+2XKvabOUMNqUHmM8LSD9/f0maVkZopSit7d3ztpklaLXy1FlWaSU4rlMhu+lM1zz8y+kqQJ77/v0pzn//vdPmt97Y4TW0z286Z33Ea+cPtA71BpPa9Y6zqT9j4QBTZEIsWX0tXmn2ixVYlIWCvtOfukJIVhhO0REPlv9VKxqqYfvnJxyWVwI0kqRLhhfMSnp9T28O7y395o2SwmjTekxxtMCsmnTJuNGLUMsy5pzbECoNTeyGVJhiCsk57Me1/2gMKx86v1UXrlCEI+TbWyctKz1bA/3PbiSWMXMI+T6wpB6y2KlM9FzNfaybXSWj9cJ7kybpUxUSiJCkpsm43itJVnjOPRN03WXeOMuLth1OOHk7jhXiHyW8cILtdqyGQlDhu7Q+3SvabOUMNqUHmM8LSADAwPmS6AMUUrNySuYCkNeGhnmci5LlWUzGCqu+j4rbZvIDMG32z/xCc795E9Omp/LBnRdG2Ld5voZj+tpTahhaySCc4vXKR2GVFoWNcuoyw7mrs1Sx5GSuGXhTdM1J4Rgg+sQEYLcFOtU18axoi6PdbwyaZkUAgH0BeM9o5rROyzZcq9ps5Qw2pQeYzwtIKYPujyZa3zAlWyGHt8jJiVVtk1XEAAad4YhwVY2S90rr9Czd++kZf1dozSsrMJxZ/5KTIYhTbZF0xSerZQKaHRc7GU2LPlejN1I2PaMXWkVUhITksw03qmabaupk1Mvq5SS7iAgV9i/KyTJO/Q83YvaLBWMNqXHGE8LSEtLi3GjliGWZc26S9VTigHfp8a2qbRshsKQDt8ncZttN37+87S9610whXEz2J8m0RCfcXutNTkNq6eIdQq1RiKod5Z+UsxbmYs2y4UKy5pmvF0eWwgabKsYu3Qr9ZubuLh2K+rE5ASslVIyqjQDhTp4UWkxGgZ3FPd0L2qzVDDalB5jPC0gJoCvPFFK0dPTMytt0ioko0JihSSGN/yArKZY7Hc6Wj73Odre/e4plw32pai9jfGU1ZqoyMe8TFqmFFEpl0VSzFuZizbLhUrLJm5JkjOkEaizLUKmHpXnuDajQynOXBpF3WJgWUIgge6CtykqJVmlGL2Denf3ojZLBaNN6THG0wKSTqcX+xQM0zBbbTKhQpF/CaWV4prvUzNDWgGAhhdfJHnffYTxyQaSUpq+zhEaVk5OpjmegTCkwbapmsJIyylFhWXNGG+1lLnX2k2FZbEpVkGgNf2+h5rCQKq1LCqFKAZ/38rF6pWsHO6l/cTVScuqpKTHD0grhSUEivxx7oR7TZulhNGmtCzPp2+ZsH79euQyfcEtZaSUbNiwYVbapMcF13Z4PqOhmtKgGc/2v/xLzn7gA1Mu6+kYpioRIxKdPrl/TilsIdjkulOWWvCUWjZJMW9lLtosJ1ZHIuyqqCIiJV2+R3iLAVUhJasce1rjCWDnuggXnr8+yTtVIQUprekL8t6mKsumy8uRnaOX4l7VZilgtCk95k4vIN3d3caNWoYopejq6pqVNkNhSERIfK25HgRUWHLG2lHRvj6ckRFGNmyYcvnZlzrZ+sCKGY85rBQJy5qyy26M5dhlB3PTZrnR6Lo8WFlNg+0w4E/uwquzLSwh6A+m7nLrecubaRjuo//G8IT5QggiAq54Hp7SxKVFKgynPMZM3MvalDtGm9JjjKcFxPPuzDVuWHhmo42vFOkwxJWCZBgyHCqqb/Nlt+0Tn+D8FOkJAG60J8mlfZo3TF+KRWtNVmvWOPaUSTd9pbCkKMZgLUfu5XZTYVk0R6IEWk/yIK2wbTa4LmmtJnmmALRlsb5Kk/7GS5OW1VkWvWFIZxAghch7uLzslF2EM3Eva1PuGG1KizGeFpC1a9caN2oZIqVk3bp1t9VmOAzIqLznqT8IUTBjagDpe6z8znfoeOyxCfO11pw5cYPv/Usbr3q8ZcZSLKNKUyEkDdbU3XqezqdIiC7T39VstVnOVNs2ESkmJc60heA+16XeshicJuA7/vbXcr43JJedmI7AEoKYEFz1PAKt8/nKgoDhOeR8MtqUL0ab0mPu9AJy48YN40YtQ5RSdHR0zKiN0pprhWr3WQ1XPZ+q2wSK7/jnf+LyO985KT3B2Rc76bg8yGPvuI+6xoppt9dak1Qh61yHymm67DyliEkLd5k+JGejzXInLiVxaU0Zk+RKwUbXJaP1lN6nig0r2Ju5zul/mlyypcayGAgV/WGIK/Nd0XPpujPalC9Gm9KzPJ/ABsNdkgwC+jyPWtuhN/AZVbfpstOaXf/wd1w6cGDC7DMnbnDlYj+P/uDWGQ0nyMc6VUrJenf6YHBPKyqnKDJsWD4IIah1HJJBwIDvF3ON+YUX40rbps6y6Jkm9mnNu19Ld+coqZHchPmOEGjyxawhH4Te7U0OTjcYDLfHGE8LyOrVq40btQyRUtLc3DyjNj2+R4jGEoIOPyAmxYyB4ns6ztK1feeE9ATnT3ZxvW2Ax394G9HY7UfHjSjFGscmPsN5KaBiGcc7zUabe4Fq26baslBoerwcUSkZKOSBcqVgeySCFEzpnUrdt4XXd5+l/fkrk5bVWBYdvs9wGFJh5RNmzpRfajxGm/LFaFN6zJ1eQK5du2bcqGWIUoqrV69Oq42vFP2eR6W0GAoVSaWovs3otp868QWef99PFP+fSXmce7GTR9++lcgsDCelNQJB/W28SkLnX57Lldtpc69Q77jcX1nFmkiU7RWVbIjF0FD0EjXZFitsm54wxJvCc7Tq9ffRca57UtB5pZRktKbTD7CFRAMdudysynoYbcoXo03pMcbTAuK6y698xnJhJm1GwpCUColZFoNhQKBnrmNXc6ODrBOhK1aLlwu41jrAt49dYuuDK4lVzO43kNOaiIAKMX2TDLVGCJZtcswxTLsplGRxXLbGK9gYi1NnO1RaFl1e3tARQnB/NMIa22YknML79NbHqEiPMHg9OWlZlZR0+Pl6dwnbpt/3GJpl4LjRpnwx2pSW5f0UXmRWrFhh3KhliJSSlStXTtIm0JqsUvkXFPnG0RmERG9TfHfXZ/6KP3/nk5z4lza++JlTtF/oY93merY9uHLW55TVmpiUxGfwKnla4QhBZAYDa6kznTb3Oq6UtMTixKQkU/AuxKRkteMwpdkjBHsSHpeOnZq0qFpKkirkhh8QlRa+0lzLZm/rfTLalC9Gm9Jj7vQCcuXKFeNGLUOUUrS3txe18ZTiUjrF94aSPD88xJVshoRtM6wUQ2FI5UwPpKERvhjbzICMsu2RZh5+3ToefftWtty/YsYYqVtJKUW9ZU2Z22kMX2lcKZe15+lWbQw3WelGqHdcUuPSFCQsi8g0P5n4e/eRHcrQ1zU6Yb4UgkopueR5jISKGifvfbpdvTujTflitCk9y/cpXAbEp6htZigPxmvTls1wMZOvCyUFNDguMWnR7QfktJ4xp9LLn/k+Q6ub6fGgsbmGdZvrZ30OSmtSStHlB9hCUGvPHFfl63xNu5kMrOWAaTfTU+c4+Nz0EFVKQc008XiqqpLXBp20f/3spGUJKRlVmgu5HFEhyWnFlWzmtkkzjTbli9GmtJT9mOe2tjYOHz7Mpk2bAEgkEhw8eHBettuzZw9PPfUU+/btA+CZZ54B4KMf/ehdHx+gsbHRuFHLECklTU1NQH60Uq+Xo8a2qRyXmDKtFFd9f8b0BN3XkvSnFdt/dDccvTTn8xgMVb67TgjWuQ4rbhMs7qt8csPlzHhtDJOpsmwcIfCUwpX5UkGNBaN7KsOn8r1vYfjzFxjoGaWuqbI4XwhBvSXpDgJGlKLedun0cjS6LivcyJTHNtqUL0ab0lPWT+K2tjb27NnD5cuXSSQSABw6dIinn356goFzp9udOHGCJ554ovj/gwcPcuTIkbs+/vjtd+3ahbVM65AtVcIwpL29nQ0bNjAchqSVYoUzMdiyw/MZCfOpA6bC90NOHTvLO5wuLkfuLFAzpzUrbYsd0QiVUt7Wo6RhWZdlgYnamHYzmQrLokJapFVYTJSaKNynzBTGU279Wh7r/3tOfr+JunfsmrAsJiV9QchAqNjgOthC0J7JUGs7UyZhNdqUL0ab0lPWxtPhw4c5ePBg0XABeOqpp6itrZ3ReJntdgcPHmTPnj0A7Nu3j5aWlnk5/hiJRGJOcS+G0iCEKGozEPgImGC4+FpzzQ+onKYI8Ohwlm/84wV2XbtA8Evvhuzcz0EXMkSvcpzbpkGAfPoEWwhiMxQLXg6M18YwGUsI6h2Hy5lM8ekdKdyr1DTxLtU/8kZufHuInbkANzLxkR+Rgk7fZ51jU2s7dHk5OnNZ1scmdwEZbcoXo03pKesn8Wc/+9lid9kYY4bM8ePH73q7TZs2cfDgQQ4ePDjJcLqb449RV1dnuu3KECkl9fX1hEC/501KOtkdBAypcNouu+e/3s7D1Tl+lHaCmpo7OoekUtRYkrpZGE6B1qRVSMyS90S3XX19vWk3M5CwHRCTu+ksIaZOmvnQLl7TfZZz/9o6aVmNlPSFIYOhygeSWzZXc1lGgmDS6DujTflitCk9ZXunk8kkyWRySqMmkUhw4sSJedkumUxy/PjxKeffyfHH89JLLzE4OFjcVy6XQylVHBExfjoMwwnTYw+uuUxrrSdNA3OeVkpNmJ7qfGczXa7X5Ps+Fy5cYMjzGA2DYioCrRS5IORyzsPVmqJZoxQUzqvvxjDpUY9/87mPc/pDHyrOLxxw0vpTTftKMRoErLFtKqVAjTvfW6dDrenIZhjwPBodF1m4N8tVJ9/3OX/+fPGclsM1zbdO1bZNFEiPOxbACtumz/PRYwbUuN/elkc303Ghl2R/6uZ8rYkACs2VnEcYBFRZFqNBwMnhIV4aHaEnl8MP8skQgiCYoM1y++0t5Wsar81yuabF1Gk2lK3x1NbWNu2yuro6+vv773q7Y8eOcfz4cfbu3QvA/v37i0bRnR5/PI899hh1dXXU1tZSW1vLxz72Ma5fv05PTw8AV69epa+vD4D29nYGBweLxx4aGgLg4sWLjIyMAHDu3DnS6fyosDNnzpDN5vuLTp06he/7KKU4deoUSil83+fUqXyOl2w2y5kzZwBIp9OcO3cOgJGRES5evAjA0NBQ8ZoHBwdpb28HoK+vj6tXrwLQ09PD9evXAejs7KSzsxNgyV3T4OAgQRAwrEKCgUGyhXNP9/bR09NNfxjSnEziFs492tuLMzSE1pqT/3qZ164IUfEYWgisVKqotywUEo5fu1acrrhyBVkovlpx+TLd2Rw9fsCW69dZaVmoIGDgQv58Q89j8FLeOxBksyQvX2Y0DKjxA2q7ulnhRpa9TkNDQ/i+j5Ry2VzTfOsUkRJxo4vRoeH8cW/cAEAMeVhnr3L92iCd3SmSL7fS3TFEZ3eKtsQqfvj0VzjxjXaSL16ksztFV+cIyRcvYo+G9GTSdF1qzdfVCxXDly/TlctxoqebE+fOFq8vl8shpVyWv72lfE2pVIpMJoOUctlc02Lp1No62UM7FULPJi//InDixAn27NnDsWPHiqPhxti0aRP79u2bENx9J9u1tbVN8CwdPXqUQ4cO0draesfHBxgeHqampoYrV66QSCSK1m0sFsNx8qU6pJTF+VJKwjBECFGcloWRNHOZhrxlPX7asqy8F2MO00optNbF6anOdzbT5XxNvlK8mBolp0ISlo2QEq0UJ9IZroeK1ZYEIfJ/SoEQtJ7ro/1cL//l23/BuQ9+kMFt20AIOnvS/Omnz/DhH9/OqpWVxfXHb4sQDHg+tpSsdR2aLUm8MLpOK4UsnO+t091BwMZolE3R2D2pk7mmqa/peibDydQIdY7L6HCOn3/mBDl/5hw/7zj3TdoeeA1nPYfxD33Hlrz7/ffxYF0FD1TEi789JQWpIP91vrsmQWXh/I1O5pqW8zUNDg5SV1fH0NAQ1dXV07ansg2gGB+kfSsDAwPzst2tXXK7d++mra2N48ePT9ldN5vjj6enp4fm5uZpRz+M758ev858Twsh5jQ9/rzuZrpcrynpe5w6f570qpWsiMaKQZZJrelWioQlYXzsgJRcudDHuZc6efyROuJ/38fgjh1MYixY85ZtIe92HhWwy3XYGp04FFyMO9/x06Na40hBveveMzpprbl48SJbtmyZsL+lfE0LoVNTJMIGFXI9l6W2Jsof/+xehtM+nX7AmZzHiikGO0h/C/J//zM73vEoiZX5l0LfQJbPfbGNiA/XwpBVQUCjbSMsCwnUOJLOXI72bIZt0Ritly7dtTb3kk6luial1IR2sxyuqRx0momyNZ7q6uqAfOzRrSSTyWmNpNlud+jQId73vvexe/fuSdu2tbUVu/LmevzxmHT55UOoNdezGWwpaU2nGE7UUO+42IUXTKA1F3MentY03qLZ0ECGl793ncd+aCuvf+YPOPOhD835+AOhIiElK6dJfXArWmtGwoCthbpm9wpSSlavXm3azW1wpWR7vIJQa7q8HCtqojTWRFkRKkZTKaJSUjHFPdQNMfQrZ1n14OMT5keFQGk4k83xSFwSH7dtvZMfhdfkuEabMsW0m9JTtnc6kUiQSCSm9fLs37//rrZ7+umnef755ycsG9umpaXljo8/nurqajN0tEwY8H3OZ9JcSKdIK8W62joqxyWl7A/ztb6abklUeel0D1//wjkefM1a6iOaxhdfpPP1r5/TsQOtyWjFpkhkQlqCqZIa9vse/b5Hj+9RadmsiETvqd+QEMK0m1kihGCFG0GT/zgAqLQkjbbN0BTFggHk46+i99rgxIEOBZpsi74w5ELOKwbPQt5Qs4Tgai5LvKrKaFOGmHZTesrWeAJ473vfOyl4ayxo7NY4pLluN5bDaTzHjx8nkUgU17nT449x9uzZWUfuGxaWwSAftB2XFg3SYrC1tTiyLdSa656PEBpn3MNnoGeU8y938pYf2cH6LfXc9+lPc+HHfuxm99ws6QtCmmyb5nFep6HA52ouS6BV8cWXDkMEUGXbNLkRtlVUUDFLF/JyIQxDTp8+bdrNLKlzHKotm5HwZnng1U4+pmkq47yhpZGOmhW4//LtScukEDRZFu2ezxXPn7Cs1nboz+V44dRJo00ZYtpN6Slr4+nQoUMcPXp0wrwjR45MCNROJpMTRsnNdrvdu3dPWCeZTHL48GE+/vGPz2k/M7Fu3TrjRi0DlNYM+j5RKYlZFo5tU9XcjChoc93zuer7NIzLoZTLBnz7WCv3722moiqCzOVY9+Uv0/7Od876uL7WdPoBCNgccYuGWToMGQ1DVrouV7JZruWyhFozFPqsjETZW1XDg5VVNDh3lrl8KSOlZMOGDabdzBJbCFa5bjFtAUCdJamQghE12fskLckDe1fzpVMZMilv0vJ8d5/gXC7H4Lh9WkIQsSzUiia08W6UHabdlJ6yjXmCfPfZs88+y6FDh3jkkUdoa2ujvr5+gsdoYGCA559/fkL32my227dvH8ePH+fQoUNA3qN05MiRCR6l2exnJioqKowbtQzIKEVGhVQUjCMhBE4sBuQNnHbfJyYk7jitzr3Uyap1Nazf2gDAls98hktPPIGehSeoM/AJtcDXmrWOzSrbpmncdmkV0ui4rI/GyISKiJTcyOWIWZKV7r1nMI1HCEFFRcVin8aSos5xicgMOZX/LUWkZK3jcCabo0LKYlzfGM2PtFDx1X/lwhdP0vTo9kn7S1gWNwKftpzH7tjNbuNq2yYp8pnMa8xLuqww7ab0lLXxBHkP0fig7ltpaWkp5mqYy3aQN6Bu1/02m/1Mx+nTp3nVq1416+h9w8KQDkNyWlNbeAmoMGTwUiu1mzcxoDSDoWJFobjq0HCOvp4Ul8/3sfvNLXR2p5C+z1s++7f81Z/8Jao7NWn/fQM367MMhSEukhpbEgIPxqITgm+BfFC649DouuwUlXgFD0Gj61KzzDOI344wDDlz5gw7duww7WaWVFoWCdumx/NZ4bpIIdjoOoXM4SGNUxScbvqxx3nucxeIJ6euLVQrLbqCgMFQUVdoG5bWZC62Mnr//dTcpoi1obSYdlN6TAtYQFpaWowbtQxIhQGgi1/QQkpqNqxHFDw+knz3x9Bwjv/1l69QLxU5BaeOXgDgR1/5Ch+vfZhPf/bitMdwbIkTtRhRigeiEVpcl7Cw3/EorRFAvGAkjXXNrXQjty0MfC8gpWTz5s2m3cwBIQRb4hV4apR+36fRdYlIySrboicIptzGW7eGtwx9ge+8UDXl8piUDKqQVs+j2opiC4GQEmdtM6N65nxShtJj2k3pMcbTAhKLxUy3XRkwGAS44uZDRQiBHYnQGwTcCHxqCsV205kAQkVdpcWr37YFy5aIMOTHn/xv/M0f/TkfjkSmOwTKtUjFLNY4NutcN3+MKdbztCIixKRAcGM45RFCECt0qRpmT6Vl0xKLc3J0hIwKiUmLOtsmIjyyShGd4qVa8eNvY+SfruCIqbt7Gi2bDj9gtRPQ7Dj5rqFYnP7AJ9B60oeBYfEw7ab0GDN1ATl50oxMWWw8pfL168YV/1VhSO/Zc7Rms4SaYrea1ppGF9ZsrmNNcxWrVlTwmue/RvcP/QBN6+pYtaJiyr8VTXHCSotNrsMD0eiEEXu3MhKEVFk2MfOFOCVhGPLSSy+ZdnMHNDgOa6JRBn0fpTUJKam3LYamCBwHyGzayMMDbWzwhqZc7giBLeCql9+fCkOyFy8x4vv0+5ODzQ2Lh2k3pcc8wReQbdu2GTfqIpMKw0lf3kJK1Ib19ISKevumUTUymMGVsGZLPkgcrdn2yU9y/id+Ytr9a63pCgKaLIsd0cik+CbIp0LwlKLP95AC1kWNR3I6pJTs2LHDtJs7QAjBhmiMeseh1/cQQtBsO3haT5m2AMB50x7iUYeh/vSUyxNSFmKnFEJK6jdvwpaSa9ksQXlW9ronMe2m9Jg7vYCYwL3FJ61CQq2xxhkraaW44AegmTDC7tr5PgZ9kDI/b+0//zM33vAGghlGsfSGIZVScn8sSmSqjM6FDNDDYUCVZXN/RRWN9/iIutth2s2dE5GSjbE4kE/OusK2qbUsktMkzcxt28wbXvgKF757hTCYvE5ESkKtafM8fK0RUpKwHQYCnz7jfSorTLspLcZ4WkBOnz5dLERoWByGgwBbTPyZX8nliF6+zArr5vy+rlEyox5DY/G1WrPjL/6Csx/84JT7VVrTHQRIYFs0Qu0UD67hIOCGl6NCWtxfUcXuqmpjON2G8ZXXDXdGwnaotGxGwwBXCjY4DqMzeJ+ON+9iS+9lLp3umXJ5k21zzfdpzebov3ARS+eTyV7PZosJXg2Li2k3pccYTwvIzp07jRt1EQm1JhkEE7rsRkPFNT9kdMPGCdqce7mTNVvqi/9fe/w43Y88gj9FVW1PazqCkKgQ7IpFaXYm157zlSKtQpocl+0VlTS57gTvl2FqpJTs2rXLtJu7wBaCNZEIaaXIKcVqx6bBkvRPEw9zvnEDP9z6LS6c6GB0eHLqAkcI6iyLC57P6IYN+dGqBe9Tv+9PsUdDqTHtpvSYO72AmOC9xSUdhmRUOMF4uub7pLSikptfzN0dwwz1Z2haW5OfoTU7P/5xTt+SDDWjFNd8n4EwZJVt8Zp4nDW3GE6+Ugz4Pt2+R5Mb4SHjbZozpt3cPasjUVa5EYaDgIiUbIq4+Dr/G56Ksz/xE7yl40XOnuiccnmFlMSl4GImy0AQYguBheBKNsPINOkQDKXFtJvSYoynBeTcuXPGjbqIDAUBnta4BeNpMAy54nnUCknF1augNb4X8tzXLvPIYxuQhW68+77yZW48+ih+1c0cOGml6AtDtroub6iI80g8RqU1sfkEWtPre1RYFtviFdwXixtv0xxRSnHmzBnTbu4SSwgaHRdfK7TWNNs2612HviCcsqutd+s23tx1kq7L/VN6nyAfPF537SrnsllySlHnOPQHHmdSo8VEr4bFwbSb0mOMpwXkgQceMEF8i4SnFNdy2WJKgJxSnMnmyKGpdGxSmzaBlJx+oYOVa2toas53zwmt2PuZT3Hmp3+6uC+lNX2hYlvEZXshvml8jhutNSNBQLeXo95xeKiyipZYnJjRfs5YlsVDDz1k2s08UGvbxKVFSoUIIVjvOtTbFjf8YMr4p3O/+B/Yd/X5ab1PSEmweTPdoeJ8zkMCK50IySAw3XeLjGk3pcckyVxAMpkMVVVVZlh6ielIZjg7MEJbNk297TIgslzxfFpzHo22RSc5ZBDQ05PmysUBHi6UYekbyPKOs9/k4hsfnzDCblQpqqVgwzRxS4OFwPEqy2ZVJIpj4g7uGK012WyWaDRq2s1dErMsVkYiXM6mqbTyo+4eicd4Lp1hIAxpGFdipW8gy7m61ezvOss/t+6hbV2CWMUt3c1aI4OA0LJ4QWdwaivZXl+BIwXdfo6VheSwhtJj2k3pMcbTAtLW1kZDQ4P5GighHckM+37362T8mfv/JbAxDtcycPLZ8wBYKuSTp/6Z5z72LJWF9ZTWJJViR2TqHE5Ka3JasauiigbHMVmX7xKlFJcuXTI1uuaJJtflei7LaBhQadnEpWSj6/J8JoPSmnjMxrEln/tiGwBfbtzH4y98nS9loPs2mQi+YEv++Gf3kKiOMOD7jIQh1abm3aJg2k3pMb/0BWTnzp3mh1xiBlMeGT/kgz/Uwv0ravDQnMvmGAwVjZYsfpV1tPYzmszy5j3NxW0f+Pz/IfOBJ6hsrCnOS4aKWmmxwZ08og7yAbgxIalz7GJsleHOsSyLXbt2LfZpLBtqLJu1kSit2QxxaSGFoNG2qJaSpFLUVUf4dx+4P1+aCIAdPP7fvs5LUc2b9rVQVTt1yY+u/gxf+NJlrozmWJGI0e/nk8Aa42lxMO2m9Jhf+gKSSqVMt12JSRVGnLQ0VrJldRWnMlnw4H7bLna5aaV48SuDvOYtm6hbke+ek57H3i99ji//9V8X96W1JqUUD8Ui05ZTGQ0DVrmRCeVfDHeO1pp0Ok08HjftZh4QQrA+GqPb80iFIVV2vjTQFtflZC7HYBhSWx2hpvpm3carh36Zn/7dP+WTVT/K2w7sLA6kQGtkLocaV+Pxhu+TVYoqy6Yjl2WFG5lUt9Gw8Jh2U3rMp/ICcvXqVTP6oYSEWnM9lx8pVGlZDIUh13yfesuaEKvUdXWImKWoa4wX52373/+biz/2Y8UXQ05prgUBVZak0Z7odcqEIb2ex2DgE2ptUhHMI0op2tvbTbuZR1wpaXLd4ocFwDrX4cFolJzWpG+516nmZjZVBDSoDOdPdt9coDXR7m4YF2ze64ecyuaISklKKS5n0tMm4zQsHKbdlB5jPC0g27dvN912JaTP9xgojPoJNbTlfLI6n6NmPBfP9LJpzzoozHeGh1n3z//Mpfe8p7hOfxiyznHYHYtRNS4lQaAVg2FAvePgCkmTG6HOnrpLzzB3LMsy3d0LQIPjIoUophQQQrDOdVjrOAxMkR/opV/+ZX7uS89w+Vwvp1/oQGsNUpJev77YbgDqbYtrvk+779NgO3R6OXpN2ZaSY9pN6THG0wIyPDycf+gYSkKP52GR9zB1BQHtvkfTLQ+T4WSGoYE061dGi1/QD/zhH3Lq53+++FIItUZDcWj3GJkwpNPzWOm67Kqs4jXVNTxcWWVG180jWmvTbhaAhG3T4LoMBhNTCqx1HGJCMHJL7btcXR25vQ/yE7FrdFwe5MaVJGiNlU5P8DzZQlAtJZc9H7/w//ZMxuR9KjGm3ZQe89RfQLq6uowbtUSkw5AB3ydW8BJd9X0qpSQiJ+ZjOvX9DjbvaCI2OABaE+/spPbcOTre9KbieslQUWPJCfXqQq0ZDHw2x+JsiVVgCYEo/BnmD6UUN27cMO1mnpGFki0CMcGwqbctGm2b1BT3+/SHP8yrPvFnPLR3FS995xqBFxDp759gPAFUS8moUlzzfGpth8EgoDM3daJNw8Jg2k3pMcbTArJ161bjRi0Rg4FPRoVECkWAM6Gi5haP0LmXuvByAVsfXEl67VqQkod/53d48SMfKa6jtCatNRtdF2ecYdTnezQ4Li3RmAmIXUAsy2Lbtm2m3SwA9bZDg+sydEs5lXrbImCyxyKMxbj4vvfx2Fc+R8OKSs681FVsN+MRQpCQFu2ez6hSVFiSjlyOnHmRlwzTbkqPMZ4WkGQyadyoJWA0DGjPZIhZVjF+o2JcWgLIe53azvay+/XrsKTAGh0lcfYslufRP26I76hSVEpB07juuqHAxxGCTbG46aJbYLTWpt0sEEIIVrougdYT7m+VzA+oCKa4560HDrD+S19i765arrcN0nWuc5LnCaDKkqS15rLnUykthsKAq9mM0bFEmHZTesybYAHp7+83btQS0JHLMaICokLSVggYr7zFyOnpGCESs6mpi4PWuEND7P4f/4MT47xOQSEhZrNjFxNiekqRUorN8QpqHRMYvtAopejt7TXtZoGosmwiUpDVN+9vtSWJCzFl1522LE79/M/zqj/9E/Y+up6XX+hChVNr02BJrvo+g0pRaztcy2VJmqLBJcG0m9JjjKcFZNOmTcaNusCkwpCuXI4ay6ErCCcFvo5x+oUOtty/Iv8fKam7eJGRjRsZXbcOyBtOnUFAs2OzwXEYCQK6cjmSQUCzG2GlG5lyv4b5xbIstmzZYtrNAhGXkoTjTEhb4AjBCttmdJoXb8eb3kTi/Hk26GHidRWcG5++YBwxKQm15ornE5OSQGuu5bImdUEJMO2m9BjjaQEZGBgwXwILTEcuS1YrIkJw3feJTBG/PTyYIZPyWbe5DgDheTz4+7/PS7/0S8BEw+mhaJSRMB8BsiEWY3dVNTsrKk3ZlRKhlDIe2wUk33UXwdeacJxR02TbgJg2TumFp57ikY99jNfsbuDiK91kUlOnI6i3LG4EAX1hSJ3t0OPlGAhM0eCFxrSb0mOMpwXE9EEvLCNBwI1clhrLZkhpBpWa1F0HcPl8H+s21xVjoHb8+Z9z+e1vx4vHGQpDOv2A1Y7NrmgUrTWOENxfWcnWeAV1joM0hlPJMLEbC0+D41Jn2yTHGTX1tsUqx6IrDPGnuPfJ++4jW1fHpu9/i+0PraL15c4p9x2VEq2h3fMLHxyC68b7tOCYdlN6jPG0gLS0tBg36gKhC10COa2IWxY9QYDSTPIQebmA9vN9bNrZBEC0r481X/saZ3/mZxgBPK3ZEnF5KBolLiXJ0GelGyFhEl8uCpZlme7uBcYWgnXRGL7W+AVPhS0ED0WjNNs2XX4wpbHz4kc+wo5PfIIt2+rxcyGV00hUZ1nc8ANuBAG1tk2v59HvG+/TQmLaTekxxtMCYgL4Fo4e36Mjl6XWdvCU5oYfUCEne4jazvayen2CeEW+hMruw4c58ZGP4AwPMxKGrHMddsWiRKUkpxSOkKyKmPimxUIpRU9Pj2k3C0yD47LCjdA/zvsUkZKHYlGabJuucHKgt1ddzZW3vpUdn/okmx9aRZMLgT85O3lEClwBl3IeASARdHjZCd2EhvnFtJvSY4ynBSSdTi/2KSxLUmFIazqNIyRRadEfhgyrkKpbuuzCUHHxlW7ue3AlAPUnTyJ9n96HH0ZkswgNjdbN2tjpMKTKsqi2TL3sxcS0m4XHEoIN0RgRIbmSzRQ9UDEp2RGN4CAm1bxDa9p/6IdY/8Uv0iSyjIZw5WzvlPuvK6QNuZTzqLEser2bpZMMC4NpN6XFGE8LyPr165EmL9C8orSmPZNmWIXU2nkjp8sPkIgJxX8Brlzsp7axguraGCjFnt/+bV546imQks6GRqpsm8S4unVZHVJfqAFmWByklGzYsMG0mxJQY9tsjsVoct0JHqg622KV7ZC8teadlGRWr+bERz/KY3/0e/R50HdjmIHe1KR9SyGotyyu+j6jGkTB+2RinxYG025Kj7nTC0h3d7dxo84zvb7HDS9Hg+0ghCAZhnQG/gQjCPIxUedf7mJbweu09a//mo43vYnMihX4SuEMDrDJdYiMq2cnENTYxuu0mCilTFmjEtIcjbElVoFETEhfsNrJj76b0NWmNe7AAD1792J7Oe7vvEDL/St44RvtKDXZKIpLiafhRuCb2KcFxrSb0mOMpwXE80x18fnEU4rLmQy2ELiFnDIXcx6eppjUcoz+zhEiUZuGlVVEe3tp+fznOfOhDwEwHITUKMXq8UV/VUhcWlSZLrtFx7Sb0pKwbdYXUnSMGVB1tkWVlIyMfxlrjQhD0Jqv/NIhPvL1T9C4Ik4katN6pmfKfVdLwQ0/wCcf+3Q9Z2KfFgrTbkqLMZ4WkLVr1xo36jzSWchYXFsYCdcX5NMMNNoTR5gIoP10D/fvbQbgkf/6X3nuP/9ntGURaE1KQN3qVTjjRqaMhiENrotr9FpUpJSsW7fOtJsSIgulhzbH4oyGAZkwxBGC1Y7NyHiPkpTkGhvz3Xe1dXxu55t5zaf/kt1vWM+ZEzdIT5H7qapQNPiG75OwbXp9E/u0EJh2U3rMnV5ATJXr+SOnFB1ejgpLIoUgqxQXcjkE4N4So1RjQ7wmQlNzNau+8Q28qir6H3yQUGu6g5DVUlKfTKIL2vhKIYAGU35l0VFK0dHRYdpNiZFCsDEaY100RjLMGzcrHZu4EFzzAzoDnzAMcfv7oaDN/7n/cda98H1WDvWw5f4VvPTtq5P2K4SgSkouez4eee9Tp5cz+YjmGdNuSo8xngxLgh4vx3AQFLvVLns+vUE4oYAvQBgo6hxYf18jVjbLQ7//+5w4dAiAriCg3rLYEY1gkze4lNb0+vncTrUmt5PhHkYIQYPjIBAorUlYFnviUfbGotRKi+4gnGj0CMGx//SrvPrXfo37HljB0ECGzqvJSfutKXT/XfE8qm2LPt9j+NZgdINhiWGMpwVk9erVxo06D3hKcT2XI2ZZSCEYCkPaPY/awv/H09HaTzqEipooD/2//y9nPvxh/Koq0krhCMHOaIQax6FiRRNCSnp8j3rHZks8Pmm0nqH0SClpbm427WaRqLBsokKSKXgwGm2bda7DjmiUGsfmak0CxmkzuH4j/bt2sfkfv8Ajj23ghW9eIZedmCNKCEGttLji+WQ1+FrR5eVKeVnLHtNuSk/ZR8e2tbVx+PBhNm3aBEAikeDgwYPzst3x48c5duwYyWSStrY2nnjiiUnr7Nmzh6eeeop9+/YB8MwzzwDw0Y9+9LbncO3aNbZv325+0HdJn+8xHAQ0uflElx2+T0ZDgz3xvvpeyI22Afp9WHX6JJUdHbzwq7+K1pr+ULHFdaizLbRSjHZ349XVEbMkW+IVRKXJzFsOKKW4fv06a9asMe1mEYhKSbVjM+j7VIyLCay3Lba5DheudZBtbJiwzcl//+9564//ODcefZR1m+t54ZvtvHbfpmI5JIBKSzLkK9o9n82OTWcuS3MkQqUZoDEvmHZTesr6l9vW1saePXu4fPkyiUQCgEOHDvH000/PaLzMZrvjx49z4sQJDh8+DOTr0O3Zs4cXXniBI0eOFPd14sQJnnjiieL/Dx48OGH5TLiFl73hzgm05no2S0RKLJFP3HfdD6iZIpv4mRM3qFtZhejp5fHfe5pv/eWfATCsFJVCsN692S0XWJIQ2BGvMKVYygzTbhaXetulM5dDaT3Bs1tvWdRGIrQqTbYQSN43kAXgSz/3K7zqI0/R9l9/l2tfv8ypE500rqmZsN9Aa06oNLlIhIqopDMSZUu8rF9BSwrTbkqL0GUcuffkk0+SSCSKBg7kjZza2toZAw5ns90TTzzBs88+O2G7Z555hieffJLW1lZaWlqK+9qzZw8A+/btK86fieHhYWpqahgaGqK6unr2F2yYRJeX4+ToCI2OiyUE7Z7PiUyWNbY14cu2r2uE736ljQfeuJGG//BfWPnEYwy//z2EWnMjCNkVcdkSvVl2pdPLsi4SY1u8YsJ+DIZ7nawKeWF4GIWm5pYPC1VID/K9vhE+96lzBMHNAOX/+I1Pcq5pI1/Z8QbWRKA9A9NFNrmO5Lc//BBvW9M0wcNlMCw2s31/l7XZ/9nPfnaCAQQUPUnHjx8vdqXdyXZHjx7l0KFDE9bbu3dvcZ2x7rtNmzbNqptwKq5cucLOnTuNG/UOCQteJ1vks4f7WnPN84gKJhg8YaB47uvt7H7DelZfPE3dUDen9/0Aq4BkqEhIyfpxX2W9uSxWdw+rN28xhlOZoZTi6tWrZtj1IhKVFmsiEc6kU1RbdrGNaKUYvdFJy6qVqIYqIj+xHT8bUl3QafS9v8FHfu6n2fJLP8Lpbs2qlMe2R9ZM2LfWmgt9ab75z1foS+Xo9nK0xOIlv8blhmk3pads73IymSSZTE7p6UkkEpw4ceKutjtw4EAxHmo25zLWzTcXgiBgeHi4eE65XA6lVHE46fjpMAwnTI95yOYyrbWeNA3MeVopNWF6qvOdzfTdXtP1TIY+z6NGCLTWXMrm6PUDai0LtC4OmT7zQge19XHWNkV4/PcO85tv+RkAcmFILgxpcR0cNFopMmGIAtZV11Bl2yW/puWo03xfUzQaXXbXtNR0qrNsKi2L9myGG9kM/b5HqBR2NIItBNtch1fXV1LZEKO+Mcaqxhgr1tTy0n//Ld71e/+NVz26jlzKQ6VyrFpRwarGGKua4qxeWcnaury+GklHJkOqkPfJ6HR31zTWbpbTNS2WTrOhbI2ntra2aZfV1dXR399/V9s9++yzkzxKzz//PMAEj9axY8c4fvx40Su1f//+WRtRu3fvpra2tvj3sY99jOvXr9PTk8/Ge/XqVfr6+gBob29ncHCweA1DQ0MAXLx4kZGREQDOnTtXLP545swZstl8vMGpU6fwfR+lFKdOnUIphe/7nDp1CoBsNsuZM2eAfPHIc+fOATAyMsLFixcBGBoaKt67wcFB2tvbAejr6+Pq1Xz+lp6eHq5fvw5AZ2cnnZ2dAAtyTS+dPMnl0RFiUjB0sZWkH3Alk2HztWvYQiB9n4orVxjsS3H5fB+vWy955Dd/k+//2E8yGM/HWqRHRmnp62Wd65AbHmb4egfJ0Kc+ncHxfaSUJb2m5ajTfF/T0NAQqVQKKeWyuaalqNPVixdpicZYGyrqunqokBY9Q0N4oymElOSGh6np6abZsUkPDuIWznd09WqG16/nvv9zlNftruPFf20nk/KI9PfjFs49UTjvgTAkef06lwrbGp3u/JpSqRTJZBIp5bK5psXSqbW1ldlQtjFPJ06cYM+ePRw7dmxS99ymTZvYt2/flIHbd7rd2PInn3xyQjB6W1vbBC/WWHffTDd4rM/0G9/4Bvfff3/R7R2LxXAKiRillEWrV0pJGIYIIYrTUkqEEHOahrxlPX7asiy01nOaVkqhtS5OT3W+s5m+m2vqSKc5lU6xwnVBKU7mfK74Ps22lR8qrTUqVBz/3Dm2PbSS17c+T/M3vsHf/Yen+NO/OssHf3w7oi7Cq2JRVkfcotcpheahaIyB6x20tLQUtSnFNS1Hneb7mnzfp729/Y60KddrWg46jWjFc8lBrK4e6tetLT7rUhpeymRI+gErIm6+hIvvs/+DH+S7v/EbPJeq4OqlAd7wts3EKlwQgs6uUf70r87yrvfdxxubq6mzJburE1QWrs3oNPdrCoKAy5cv09LSUjyfpX5Ni6XT4OAgdXV1SzfmaSxGaSoGBgbmfbsnnniCffv2TRrFd2v33+7du2lra5sx5mqMtWvXUlNTM20f9Pj51rigyfmeFkLMaXr8ed3N9J2eb6g13aGPa0ksKbkWhFwNAhrGDKf8CXPuZDfxKpetVQE7P/5xjn3qUzCUd7mOKs0626KxMMIuAJIqZFMsTsKNQF1dseGU4ppmM73UdFqIa7Isi7o71KZcr2k56FSjJSvcCB0V+fgkUTivSuC+aITvKkVGKWJSol2Xbx0+zKP/8T8y8slPojV85fPnePzd24kXDCgAW0CXUsSU4HI2w/0VlUWD2eg0t2uSUhbbzXK5pnLQaSbKttuurq4OyMcb3UoymZzWSLqT7Z555hnq6uomeaQOHTo0qYtubP8zdQ+OX3c6w8kwPUNBwIAfUGPZjIaK87kcUSGIjLuXw4MZLr3SzZ7XreX1hw7xvd/6LcJCnz9AVivWOjZO4WHc7/s0R6JsjMWxLIv6+nqjTRkipTTalCFCCNbE4riJGm6tYNdgWax1HAbCmyPvUmvWcPYDH+CRj32MbQ+tYsuuFXz3eCtq3DrVUtIXhvhC0JXLcjWbKdHVLD9Muyk9ZXunE4kEiURiWm/R/v3752W7o0ePkkwmJxhOY4bX008/XYyDGmNsv7NJWdDa2jrr4DNDHq01N3JZFPkcMxc9j2GlqbUm/lRPff8623ev5lX/+0+58cY3Mrh9O5AfSg0Ql5KVhS7SjAqxpGBtNIpdcCNfvHjRaFOGGG3Kl2ohcDs66cllGQ1vZhEXhRxqroCUumkcXfnBH8TKZmn+6lfZumsF0ZjDC/96pRiYawlBTEguefn4w6vZDENBMOm4httj2k3pKVvjCeC9733vpNiiMY/PTF1ms93uxIkTDAwMTOiqGxtZB3D48OEps5InEonbdtkB5kvgDujxPbp9j1rbocMPaPc8mix5S06nUZL9aV6XbKXu7FnOfvCDQD4JX2/hy3aT4xAv3PshP2BNJEpNIZuxlJLGxkajTRlitClfLMti6+pVbItXkFGKTi+HXzCWaovep5CB4OYL/Pu/9mvs+uM/pqKzk1c93sJgX5re60PF5XWWZFRprvshI4HiSjZD2hgAc8a0m9JT1nf60KFDHD16dMK8I0eOTPIS3ToCbjbbtbW18bGPfYy6ujqOHj1a/Dt06FDRq7R79+4J+0kmkxw+fJiPf/zjszr/RCJh8gjNgWTgcy6VKv4oWz2PmJATuutUqHju65d51Y5q9v7e7/Ktp58uxlD0BiENBQ9Vo5M3lLIqRAjyBU8L6wkhjDZlitGmfBFCsKKunpZ4BQ9UVLHSden2PTIFY2dbNMLOaISs1owWPmLCWIxvP/00j/7H/4gb+rzm8RYun+6h1r65zybb4qrn0xGGtGcznBodMQbUHDHtpvSU7Wi7MU6cOMFnPvMZHnnkkaL36NbRcHv27OHZZ5+d5FWaabva2top46IAxt+Ssfp3Y8d68sknb+t1Ghtt99xzz/Hwww/POgDtXkZrzenUKDe8HCvdCM/3DvNiMkOjJSeUiLjRNkCye4Tf+NRvcPxXfpX+ls0A+FozFCrq04o/+4eL/N6HHqaxMUZahayPxtgcu1n4d8zFvWXLFqNNmWG0KV9u1cZTisvZDJczaVa5kfzIKp3PQH4u51FvSaKFD5+1X/4ya/7lX/jOb/82V64O8a//eIE9j21g245GIO81vhEE7HBdEpag0XG4L15pso/PEtNu5o/ZZhgve+NpKTJ2869du0Zzc7P5GpgFycDnxMgwVZZN91CWXzpyYkLpB8i7STfG4O1f/z+0VzXyhe1vnHJfEUfy9IcfpqraYUssTnMkOsEA01ozMjJCVVWV0abMMNqUL1Npkw5Dnh8ewpaiWORXa82JTJbrvs9q52Z5l92//duMbNjAN978Tv76b86wtTHC2993P1bBWzwU5hPYvjYeYzT0qbUdHqisLhpghukx7Wb+WBblWZY61dXV5oc8CzylaMukCbUmIiWXR7IEgeJdP7CRxvpYcb32Mz1UX7jI6zY4ZH/5Z/nw2PZaM6IUu6IRai2LSNTCqrDYHI2zNhqbdDwhhKk5WKYYbcqXqbSJWxarIxEuZdJUSKs4VH6963AjCMgqVTR+XvzIR3j8Qx9iVdN6UqFNrNLl3Iud7NzbDORH3133A274AVsiEbq8HFezGbbE4uY5ehtMuyk9xqRfQM6ePWtGP9wGrTVXshl6PJ96xyWrFJ1+/p411sfypR1WVOCiGWjr5Sdf/AfO/bdfL85ftaKCSH2U7aur2N1cw8aVlci4ZF0kSvO41AXjCcOQ06dPG23KEKNN+TKdNqsjUSosi9Fx8+stizW2Q2+oiiNgtWXxzd//fR7/vcOsHO5j80OraDvXS19XPkO1EIKEZXHZ8xlVilrb4Vouy6AZgXdbTLspPcZ4WkBMkcbb0+N7XMlmqLVtLOCy5zOsJj4AvFzA9758nie/91lO/s7H0OP69DNKgYCNjosUgrQKqbAsNsZixRinW5FSsmHDBqNNGWK0KV+m0yZuWayNRBkJQ8KCoSSEYGvUpdGSdI0zfrxEgn/6tf/O//in36cizPHImzbyva+24eXy61RZkozWtHs+USnRGi5n0sVRfYapMe2m9Jg7vYBUVFQYd/MMpMOQ1nQaW0hilkVPGHLJ86i+JeDx1DfbeM2575P8v38Rv7KyOD+nFH2hYqPr0GTntxkNQxrdCFE5fdCkEMJoU6YYbcqXmbRZHYnS6Dh0eTm8gqFTISU7olEcIRgZlxxzcO16/uD1/4Z3/t8fZdWqSta01PH8N9qLA3XqLUm779MThNQ7Dn2+R2cuV5qLXKKYdlN6jPG0gBg36vQEWnMhk2ZEhdTaNqHWXPY8tIb4uAfA9fPdjLzSTsu79zK69mZNLaU1PUFIi+twXyQ/0mc4CLCEoMlxZzx2GIacOnXKaFOGGG3Kl5m0caVkZ2UlayNR+gK/aEDV2xYtrsugUkWvFMBza+/nwpv386pf/3Xu37ua1EiOy+fyBVtjUiKBC7kcoYYKyy6M6sswYrrwpsS0m9JjjKcFZKxIo2EiodZczqTpzGVpLORf6g4Cuv2Qevumx2ioZ4TTx87xA1ttkq96ZMI+eoL8uvdFXCTQ5eUItGJrLE6tPfM4CCklmzdvNtqUIUab8uV22kSlxfaKSla67oRM4S2uy0rboisICMYZUK+8491k6+t5+I/+kNe8ZROvPHed4cF8iZaGgif6sudRbdto4JXUCOfTqaJhZriJaTelx9zpBSQWixk36hTcyGVpzWaotR1sIRkKQ85lPWwB7lhhUDTtXz/PO2qHyP7g48Vtldb0BgGuEOyMRohJSa/vUWc7PFRVzdro7e+5EMJoU6YYbcqX2WhjCcEqN0KALnqaXCnYURgJ2xkExQBygJd/8ReJDgyw9/Of5YHXrOW7X2klDBSWENRKi0ueR5cfUOc4rIlE6fN9rmQzmAw7EzHtpvQY42kBOXnypHGj3kI6DLmazRKXkrhlMRyGvJTJMqJDGguxTkpp9nq9PBT04L//h4vb5pSmww+ICMmuWIQG28ZTComgJRYnYTvTHXYCYRjy0ksvGW3KEKNN+TJbbepsh0bHodvLFTOF11oWe+Mx6i2LwXHxTwjB93/t12g8cYI3nfs2NXVxTn7vGpAPHhfAyWyWvkKXfMIudOFlMxOMsHsd025KjzGeFpBt27YZN+o4Qq1py6QZVSE1ls1oqHgpk2UwDFlp2fkMxaFi+LNfJZZNo/7N24vbBlrTHYZsdF1eVxFjtePgK0Wv77HCdUncpqtuPFJKduzYYbQpQ4w25ctstXGkZEdFJS2xOGkV0ut5QD6AfGc0giNv8Y5Iybd+53fY+A//wDuCNjqvDnHpTA8AjbZNTmlOZ3OklCJuWVRZNhczaS4VcsMZTLtZDMydXkBMmvyJ3Mhl6fBy1NsOntacyeXoDxWrbBspBFprWo98iaySfL1qfdEFrbSmOwhYaVvcH8t31QH0Bj5rIlG2xOMTMojPBqNN+WK0KV9mq01UWmyNV/BAZRWWgOFCDFSDbbPVzQ/oSI2LXdK2zdf/8A/Z9dm/4X3VPZx/uYvOq0kAmmyLvjDkUs4j1JoKy6LWtmnLpDmfThkPVAHTbkqLMZ4WkNOnT6NMcCMAg75PayZNpbQIIF++wfNZYVtFw6fvf32OAeXQ9N43oscZQ91BSL1lsSsawSnMHw0DokKwIRqbMS3BVCilOHXqlNGmDDHalC93ok2D47I5FiejwmIX3tigkFGlyI7bl4pE+Nof/zF7P/cZ3h3v4bmvt5NOeUghaLIsWj2PM9kcvtZEpUW949KRy9Ln+/N7oUsQ025KjynPsoDs3LnznnajZlXIjVyOZOAzGoT4WhO3JC9msnQFIascG1sI0BrrDz7JS8563vih1zEw7BX3MRIqbAE7otFi/ielNcNBwOZYnKo5dNeNIaVk165d97Q25YrRpny5U22aI1E8rbmYSU+Yv9Zx8vFPoaLJtrCEQLkuX/+jP+Kxf//v6XjLj/GdY5d40zu3EbUkjcCJ/lE6ghQbXRdbQDIIGOjLsjVWgXOb86qtcGlOTC7XtBww7ab0GONpAbmXg/eyKuRMapQuzyMuLSJSEhMWr2RzdPpB0XDycz6df/g5zlS08Nr37SESc6BgPCmtGVSKXRF3YgqDMKDatlkzTfmV2RCGoXnQlClGm/LlTrQRBQ8xQFsmXUxjsMl1qY7HuOR53AgCVto2TsGA+tof/RHv+eVfpufhH+XFb8XZ+8YN5EZ9/v5T5/CDO/OuxByL47/y2LI1oEy7KS3GeFpAzp07x2tf+9p7ri96zHDq8XxWuREsIQi05pVsjnbfLxpOOudx7n/+E5HaBG9+/2uIRCf+HHtDxXbLYoN7M+mlX3D1b6monHN33RhKKc6cOcOuXbvuOW3KHaNN+XI32kgh2BiNUWFZ9PRmAdDACsem2pKcKTwbVlg2ESnQjsM3/+AP+Le/8Vv8gSdpbYgTr6/ADxQ/+AMbcGsi7Ii6NNo2o2EACLbHK4hOc16Xekb5pc+8xGDKW5bGk2k3pccYTwvIAw88cM/9kHNKcS6dosfzWeG6DAznGEj5tHke132fWsuiT3i4w0MM/9Vxss3rqf+hPQwM5WAoX4Khsz/v3q+1JA/ForiF0Tlaa/p8nxWRCCvcyB2fo2VZPPTQQ3d9rYb5x2hTvtytNkIIVrgR7ovHATjdPYQApIBKDdGcz1k/TUOhCw+g89/9Cu/8xCf4m69KEg+sA2B1fRyrPkJOSlbGY8SFoNPLUROLsCVecbeXuSQx7ab0GONpAclkMlRVVd0zics8pTifTtGVy9HkRhgYzvFzf/I8OX+im31tsovXj17j5bU7ODccR//V2Un7cmzJ7kQFldZNN3QyCKi0LDZFpy/6Oxu01mSzWaLR6D2jzVLBaFO+zJc2K6tixByLv/jHttltYD/CD5x/ju4gpAmXeMymyrLoCEJOZrI8GIuSsB2u5bLUOg4NtynPtBwx7ab0GONpAWlra6OhoeGe8D6lwpCLmTHDycUWgoGUT85XPPrWdWxsqMAVgrUvfJ/0sbN8fe8+XvvmLbx+nHEUaE1/GLLWcdhVE6e59qZ7PR2G5LRia7zqjoLEx6OU4tKlS+zYseOe0GYpYbQpX+ZLm+ZEjOO/8hjXhjN05rL0+j71toMUkNGac9kcyTCkwbLGpSDZwabvvcT32z3i7VeRD2xhtW3REQSEmSzbInmD6UI6RaRC3vUzYqlh2k3pubd+YSVm586d98QP2VOKi5kU3d6Y4STxtaatkBxvfUMF61dUsP0v/oJX2kb5yiNv403v3kEsfjMjuNaa60HIQ47N7li06FnSWpMMAzylaInGWOHe/VelZVns2rXrrvdjmH+MNuXLfGrTnIjRnIiRCUNeGh0ho8Kix2hdoepAX6iotSTxsSDoH349e15o5RtfvcyP9HQyvO+NNNs2PUHI82GWB6MRgiDkQjrF/ZVVRO6h4GnTbkrPvfPrWgRSqdSyr8EUas2ldIrOXI4mJ4ItZDFz+LVC/pXqdIrHfv7n+W62hmO73syb3rV9guEE0B+G1EjB9kikaDgpren2PCRwf0UVm2JzT4Y5FVrre0KbpYjRpnxZCG1ilpVPcgskg8LzwrJ4VTzGtohDfxiSUzeP17hnE+sevY8vns6y4/DvYIf5lCcKzdmch21Z9PoerenUPZV93LSb0mOMpwXk6tWryzppWaA1V7MZrnk5Gh0XCfQGAScyGa77AQ2Wxbaey7znF5/kL9/6Ab5dv5XH3rmNWMVE79FoqAiAbdHIhBinwcAnYds8VFnNqkhk3vrylVK0t7cva22WKkab8mWhtGlwXLbGKwm0ZsD30VoTlZKtkQgbHZeeIMAfZxRs2bOWyldv5y8aXs1jH/hp4p2dNFgWozrkhXSWLIKrXo72TJrgHjEmTLspPcZ4WkC2b9++bLvtsirkldQIF9Jpqq18fpaLOY/vpzMkQ0WzgEf/4hn+3Xef5Tc/8Ju0W9U8fovHSRfKroxqxX2uy+pxcQpKazylWRONzXv8gmVZ90yX6lLDaFO+LKQ2qyMRdlZUYgtBp++RCkMsYEfUZZ3r0BkEjI4zDB549Rr0htX8znv+I2/4hV9gwz/9E6sKhcHP5Tw8DZcyac6kRsncA/n2TLspPcZ4WkCGh4eXpRt1KAh4ZXSUrpxHo+sSAmdzOc7kPGJCsvX6Nd72kz/JldpV/N77PgKVcd74g1sn5HHSWtMThkSE4FWxGFsi7gTPUjLIJ8JscJwpzuDu0FovW22WOkab8mWhtVnhRni4qpqN0Ri+UnR7HsnAZ6vrsCMSYSRUJAuGkBCCR960kZQb4+n/cJj6kyd57Od/nlXDQ2jgoucTCMkNL8fJ0ZFiYs7limk3pccYTwtIV1fXsnKjhlpzI5fj5ZFhBgKfOseh3fP4dirDuZxPnQp57ZE/4dX/z//DJ3/h1/nb6Db6PMGWh1ZhjeuO87Xmuh8QE/k8Tiscu2g46YLrXqFpicVwFyDoUynFjRs3lpU2ywWjTflSCm0qLIv74hU8Ul3DA1VVNLsRPK1okHB/xCXQmk4/QGmNZUlet38zvb0ZPvW2n+KVD3+YNx88yCNf/CK+UryczZFWMBIEXEinAOjzPfxl+Nsy7ab0GONpAdm6deuycaOOBAFnU6O8khpBC6iwHE5mc5zM5rAF7HnpRX7k/e8n09DIH/7K07xwOcuDj25g9BaP+VhX3VrX4dXxGA2WxXAQ0JnL0eXluOHlsATsrKi8q0SYM2FZFtu2bVs22iwnjDblSym1iVkWK90IOyqr2FVRRaVlExGa+yMRaixJRxCSVQrHtXj07Vu5fnmQL4/U8qVPforaCxf4Nz/zM6xqbeVMziMnZHHk3YV0mhdGhrmWzUwoSrzUMe2m9JhUBQtIMplc0kkytdaMhCGdXo7OXJas1lRbNgOh4mIuzbDSbOrp4VX/43+gXJdjf/IMz50boa91gDe/azvJEW/C/tJK0R8q6iyLra5DqENueCFVls2WWAxFoWSDG6F6AfO0aK0ZGhqipqZmyWqzXDHalC+LpU2j61Jt21zNZriey7LWllRIwRU/oAmIxh0e/+FtfP9rl/mXY+3kfu4XqO/t5LHf+i16167lu7/4S8RV/kOsznbIacXp1CjVuSxbYhU0zkP6k8XGtJvSY4ynBaS/v5/m5uYl+TUwEgRcyWbo8T26hzIEWc2wyne3jaqQ2tEUb/3fz9BwuZVv/OwvcGXtZs5+5TrRCpftr15LcsSjbyB7c3+hYlQpNrkOK22LVKG47454BU1uhFgJ75FSit7eXqqqqpakNssZo035spjaRKRkSzxv6LRnM8hsFmXbdAQBdUDcsXjtvk2ceeEGX/ncWd74Q/fxLx//OM1f/Srv+uAHeP7RfTjhQ4Roam2HGstmIPA5kxplO5U0LXEDyrSb0iO0iTCbd4aHh6mpqWFoaIjq6urFPp05kQ5DOnJZOnJZcloRphS//MyJYomVuJfhx1/6Im+8/CLPvOpH+dbGh0nYUOdAnw9Dt8RlOrbkx35iB3alw46Iy0pLktOaNdEo66MxovdQIjuDwXD3jKVIaU2nafV9ekONK6DeshBC0HaulzMv3OB1+zdR11SJCEOq//zTrPr4J+n6mZ+g7mc/SH0hI/mA7wOa++KVrHRd47UxzPr9bTxPC8jAwACVlZXIJWAgeErRmctyNZclFYbU2A5V0uHl1BA5X/G21yZ475ePsvGl5zlx4Mf4xlt+lRV9aR54uYuqRJR12xuJV06MUfK0JusK4lUOOyMRKiVktea+eJy10cWrbK6UYnBwkNra2iWhzb2E0aZ8KRdtbCHYGI1RYVlYoyPUhIquIKQjCGiybVq2NRKLO3zry5do2dHE9odXce6H38NTyc3899GX2fiudzFw4D3I97+fuliMZOBzOjXKcBilznaose0FGaiykJSLNvcSxnhaQJLJJGvXrl3s05gRpTV9vs+VbJo+36fKslnpuPQqxcVUhv6LF/jVr/4Zb/7WAG0/9yT/8mv/F6MjHpe/d42h/gyvftNGVqyZaJ17WjMQhEQEbHIc6qXEFhpHWNwXj7NqkV3kWmuSySSJRGJRz8MwGaNN+VJO2ggh8gNKKoHUKJVS0BNqrvk+tZbFqnUJ9r9nJ899/TL/8vmzbHxwFb7lcP7Hf5KOn/0A6//u73j1gSfw3/QmrA9/iJHqatozGa6IDNWWzaZYfEnFQpWTNvcKpttuASj3bjutNf2BTyoMGQwCer0clhDUWDbDStPl5ZBf+jIP/vXfkHHj/HrN63jkIz9CXU2Ecy910n6hj/seWMmW+1dg2Te/cjyt6Q0CLCGotyxaXAdUiCUl6yJR1kajRKXpjzcYDPNHZy7H2fQoGhgINRc8DzQ02BYW0Ha2l5Pfv8714ZAffWI7zasqySlNT+Dz0Ne+zmv++q9w6uoY/MBPMfrIIwyGARrYEI2xqsTxmIbFZ7bvb2M8LQBjN//SpUts3LhxXt2oHckMgynv9itOQW2FS0N1hCvZDFezWUKtsIXEEpJRrcm8corVzx5l1Usv0fnGN3L53/5b2oMof/HpM7z54QZ6riZZu7mOHbtXE43dTF4ZaE1vkM9JsMqxaXFdXDTDYUCD47ApVkGtbZdNPIFSir6+PhoaGoyLu8ww2pQv5axNt5fjXCpFToUoKbnsBXQFAavsfPWDttYBvvalVhoTLq9+80aaVlfnc8qFioxWbO3o4NV/8zc0vPQio299K53vehe9TU3EpWRFJEKj41Jj28W6m+VGOWuz1DAxT2VAOp2e1/11JDPs+92vk/HvrNxA1JEc/vDDuJUWccvC0xbDFy/R8IUvsP3rX2dw0yauPPEE5/7Lf0Fp6L4+xLlT19kQhzBQ7H/PTuKVN13ZodYkQ0VaK1Y7Nhtdl1opGAgCtBBsjsVZF42VZXXz+dbGMH8YbcqXctVmhRvBFZL2bIZe32OTYxMBrgUBUSFwK1w6cvDqXSt47mvtNK2uYusDK6mvi+FrSWvzGi79yn+iLgzY/c1vsunXf4PNQ0P0ve2tXP3BH+RqYwMJ22aFE6HOdaiQVtl8DI5RrtosV4zxtICsX79+Xr8CBlMeGT/k99/3EJubKqddT2tNTikySjEaBiSDgEs9o/zZP7ZyZTjN5rPniXzxS6x56SWG1q7l+tvfztcOHkQ7DoN9aa58+yrXWgeoSsSoWVHJt88P8+YHVhYNp0BrBsOQnNbUWRbb3RirbItUGNIfhKxwI6yPREmUkbdpPFJKNmzYsNinYZgCo035Uu7a1DoO1bZNt+fRmknRZEuqLJeeIOR6oaxLTVMlb3uikXMvd/GvX75IRaXLjj2rWbW6mkBrhoTgy296E9E3v5kVnscD//Iv7PrV/4ydGqX/Na/h6r630LZjBwnXpcnJ558qB0Oq3LVZjhjjaQHp7u5ekNF2m5squb+5ZtL8dBjS6+Xo8T1SoSanQSqLdRdaWf3lr/Lw5/6Zlm9K+vc+xOUfeDun/q//C2lZjA7nuPpKH1cu9iOA9VvrecuP7KCiKkJndwr1rU4AskqRDBUKqLMkD0Rc6i1JJlT0+x41tsOWaJwmN4JdhkbTGEopenp6aGpqMi7uMsNoU74sBW0sIVgdiVBj21zLZbmRy1IpQBVSE/SGITVSsHPPanbsXs31tgFOfPMK0bjDjj2raVxVRb2wSCtFp+ty5a1vI3zdm3FHs+x8+QRb/+xT1F26wMjKVZzb+2r6974a1q4jYTtU2hYxaU149tVWuDQnFn5k8VLQZrlR9sZTW1sbhw8fZtOmTQAkEgkOHjw4L9vN1zrT4Xl3Fps0FzJhyFAY0O959Ps+XnKQ+pMnWXniJeIvvYQYGaF782Ze2bGbP/qBf8+P/vQjrF1ZSTbj03G+nysX+xkdzrFuUx2vebyFREN8wleUKoTEdQchllI0OhbNtkO1FGRUyHCgSNg2W+NxGhx3yQzxLYU2hjvDaFO+LBVtKiyLbfEKVrkRrmUzdJDv0lrv2PnamkFIlZQ0b6pjTUtd3oj616sIARu3NbJ+Sz0rojbJoSz/65NnCQIF1MCKd8EKWDXcyyPfOs2r/+Y3aR7qpb+ihq+t3saplZs537iBnJ031qKOxRd+6Q2sr41jC7GgHqqlos1yoayNp7a2Nvbs2cPly5eLQzAPHTrE008/zUc/+tG72m6+1pmJT33qU/z6r/86kcj81mhLhSEd6RSjly7hnz6NfeYsVefOUZ8cxK+s4vquXbzywAN0/Pj70VWVxISk58oQ9F7i8sudvPL1LF42YMWaanbsXk1TczVS3mzUgdaklCKlNL0Fd/dG1+GheJQgDAEFSFa7EVZFIiRsp2wDKafC933+/M//nKeeemretTHcHUab8mUpalNj21RVVDIQzwH5RJoJ12IoFPSHms4gwEJQ11LLW1tqGehJ0XaujzMvdLCiuZpIdRRLKX7oBzbSWB8j0Jq01qTVVmLyUTosi2EpqRzo59GTL/Lu0yepe+nL2F6Owao6/tZr5NLfD9L/mgewm5upc1yi0mLscWkLQUxaxKRE3sUzdClqs9Qp69F2Tz75JIlEgsOHDxfnJZNJamtrmem0Z7PdfK0zFWPR+gCDg4Nzzr2htSanNblMBq5eRba3w5V2ek6e45WvvcwDjRI76jCybi3JrfdxfcsWbmzezFBtLYGnUCM5GPHJDOcYSWbo6xolDBW9IwG796xi0331VCeiaCAkH/ityKcaSCkFCCplPt3AcF+G3/3EK/yXn7yfdSsraHJdmt3okkwkN8aYhneijWFhMdqUL0tZm1c6hnjH//xX/tuBXdTXRRj0fYbDkMEgZFgpRpQiACJCEJESO1AMdY7Q2zlKV8cIFRFJoj5GbUMFiYY4NfVxZLVLRgrytRc0AoEU4AC1tkVw5irf/6N/4smNAeu7r+J2daK1xk/Uktq8icy6dWSbmwnXr0M3N2PZDmPmkxQCV+YLGjtCoAvP6KDw3olKiS0kQoBEMDKUZNuKlbT19NBYV4tgsiEmyefHkoX9C5iwlhRiTqO5tdYEWuNrTWXMpikRRWnQaEINCk2oNbpwHEHeWNSF6wiUQgjBwJDHaMbHEgJLCMbbkKJwJbKwvSUEsnANdZWRBekSXRaj7T772c9OMFyAYqM9fvw4+/btu+Pt5mudOeP76MFB/MFBgq4uwq4u6OqC7m5EVxdhbw++HxAoRc51GVq9ioE1a+htXkPrGx/n05HX8+j7HqAibpEdypEdzhGMeGS/3UdquAOtNJU1USqrI1TVRFm5roZtjzQzkA749F+dJb6uhtFKm+EgQJL/EUL+hyyFoNG2qJMWFRY4QqILv+RG1+WhymrqnaXlZTIYDIbaCpeYY/Gfj56a87a2LfnRA1uJhJpUf5rerlEune4hNZzDdiSV1VEqayLEKlwsRyJci25bMuQ5fHfLXqJv38DaVVVURG1cW1KVTJJobaXi+nUqv/8c1X/7d8Q6OyEMQWuCeJxcYwO5hkaGGhpIN9STa2rEb2jEr2/Ar6wkFBSNCgRkh4YB+GpykFqhsQqGnEXeuLJEfl0LgSXzJolGF40aDQwOefynP32xWIprLji25CMf2EmiJoLQoES+fyLvZBBoDVoABWNKi7yxOTjs8T//8jR+MPdjuo7kd35mN+vr4sUyX1IIHMCVMm9oIYrvK4XOnwd5Aw/y77ix5Zr8fRsJgqkON4myNZ6SySTJZJKWlpZJyxKJBCdOnJjSeJnNdnv37p2XdW5nPP01ELz3Cfotu+jl8WyHVHUNo1U19Nc30FfbQDLRyOBDWxmqqCIdqyQIwc8FBNmQIBvk/zIBuT6flbU2V7/RTmVVhIqaKPHqCPHmaqLbI7jVEWTEwlP5rxSNRmnNkIDh4fwPQmlFrRBUWpKIELhCEJeCKsui3nHR5BtZ3LKISkn9aP5HuSkWX/LFM8cYC6g0gZXlh9GmfFnK2jQnYhz/lcem9aqEWuMpRbbw1x8E9AU+6TBERixkpc2I0sTqItibE1RqjUBDVhGOePkP2EyASvmoZJbQD0mNejS60P1CJ136Br4XEgYKy5HYrovtbMFatw17k8RyLWzHQloCKwyws1ncbJpoJk20K0W0rZ3Y6CncVAqrENuUPwOBFqCU5tDrf4SBP3iWvlgM5diEtkPoOCjHIbRtlO0Q2g7KtgltG19ahEISColCkM6FNGqPhrWVOFELLfL7H3NPje9rGYvdEoDvhXRdT/HVb18t5v8rriuKG+TvF+P/D5lMQEIq1mypIhK1i9vIcccdQ6Pz20nIZhVtF5J85sQVqhKR/G9SCixLYlkC25JYVt7wtYVESrAtiW1JXClwpcCRElsKHEvmDU0hsQR4oyOz+k2VrfHU1tY27bK6ujr6+/vveLv5Wmc6xrr0/r+f/f/406bVoG/OE1IgZP4zQDgSqS3kqERmFMIZQdppbFtgR2zsqI1bZxGLRpExh9Rwjn/90nUefddGauscpMwnuFRKk5U5/EyOeCYfLFkhJS4QtWwiQtATeHw+l2bVQIpmNK5l579KtCZiW1hCMKg1lmWhlGKgMH2pZwSVSzM6Mkwymb8GKSVKqdtOh2GYdxMXpqWUCCHmNA35kSTjpy3Lyrux5zCtlEIXrmlwcBDLskgmk7O6jqVwTXO9jnK9prvRplyvabnodKs2S+2a4lpRVTWTTqC1wLLc4vWFQpANA3ylCYHRwGc0VKS0JhkEjNghwzUWmQqbjLYIEISFLsCgP8eVs73UPVhDZW0UodRNb4wXokKNDjSBH5ALA7SnISz4RBRgRaAigo4n8ttMsD3GLIu8Z0d5Odr7htm+bgu2ACv0kWGIHfhYqSxibDrwsYMQx/eJhx5OGGAHAVYYIDyfrQMZamssXKkRhRCOfD9awYOUP3q+R6IwOwg0I8M5YiddpFXoy5hgcOUNvPzqY16e/Iww1GxPBVScy2+rx3YqbppaSgjGdqCFJBAWnpZszCqc6xGUbRNIi0BahFh40iKQkkDm54dCooVECZE3FAsGoxaCUFgoIVCFPhiBRuVG8+d4m4imsjWebkcymVyw7e52nZGRvOX63T/5xVme1dz4q9+/820/cofbvvYujlmurF+/frFPwTANRpvyxWgzN679fumOdeqfjpTuYMuckZGRYuzyVJSt8TRTQOLAwMBdbTdf60zH6tWraW1txXGcCUNTI5GIGQlhMBgMBkOZorVmZGSE1atXz7he2RpPdXV1wNQenpmqR89mu/laZzqklFPGShkMBoPBYChvZvI4jVG2kX+JRIJEIjGtl2f//v13vN18rWMwGAwGg+Heo2yNJ4D3vve9tLa2Tpg3Fsg900i32Ww3X+sYDAaDwWC4tyhr4+nQoUMcPXp0wrwjR45w5MjNoLhkMsn+/fs5ceLEnLabr3UMBoPBYDDcW5R1hnGAEydO8JnPfIZHHnmk6PUZXxplrITKs88+O8EbdLvt5mud48ePc+zYMZLJJG1tbTzxxBPzWh/PcOfMRps9e/bw1FNPFX87zzzzDDD5d2CYP44fP1782GltbWXTpk2T7rdpM4vDbLQxbaY82L9/P8eOHZswz7SbEqINd8yxY8f04cOHi/8fHBzULS0t+uDBg8V5ra2tOpFI6MHBweK8j370oxO2M8w/s9FGa51PNjvu79blhvnlhRde0M8+++yEeabNlAez0UZr02bKgcOHD+tbX9+m3ZQWYzzdBQcOHJg078iRIxrQra2tWmutDx48qD/60Y9OWGdwcHDSD98wv8xGG63z+hw5ckQfOXJkwnzDwnDw4EHd0tIyad749mDazOIwG23G5pk2s3i0trbqAwcOTKmLaTelo6xjnsqdo0ePcujQoQnz9u7dC+Td35CvszfmQh1jfH08w8IwG20ANm3axMGDBzl48KBJL1EC9u/ff9vBFqbNLA6z0QZMm1lsjh49yvve975J8027KS3GeLoLDhw4MOnHOp7Z1NkzLAy302Y8yWRyQqyHYeE4cODApAEX4wtwmzazeNxOm/GYNrM4HD16lAMHDkyab9pN6SnbJJlLgWeffXbSvOeffx7IpzK4m/p4hrvjdtqMcezYMVpaWop67d+/n8OHD7N79+6Sneu9yNGjR3nuuec4ceLEhMEeps0sPtNpM4ZpM4tDMplkYGCAlpaWScaQaTelx3ie5pnDhw9z+PDhWbmz77Q+n+HOmEqbI0eOcODAARKJBLt37+bJJ5/kiSeeWMSzvDc4cOAAhw8f5sknn+TQoUMzPvzHY9rMwnM7bUybWRyeeeaZOx45Z9rN/GOMp3nkiSeeYN++fcUhu3dTH88wv9yqzRi3Grm7d++mra3NxAiUiAMHDrBv3z727Nlz27JHps2Ullu1GcO0mdJz/PjxGePRTLspPcZ4mieeeeYZ6urqJsQM3E19PMP8MZU2kE+Ceqv7e0yz2XpCDHfP/v37SSaTRZ3AtJlyYbw2YNrMYnHixIkZu0VNuyk9xniaB44ePUoymZyU+dzUx1t8ptMG4Omnny7GQY0xppUZRbQw1NbW8vTTT0+YN/bgb21tNW1mEbmdNmDazGLwzDPP0NrayqFDh4p/Y8+zQ4cO8fTTT5t2swiYgPG75MSJEwwMDEzoDhobiXLgwAFTH28RuZ02hw8fnhRDcPz4cRKJhNFmARgzWm99yY61hz179gCmpuRiMFttTJspPVPFOT3zzDMcP358wkhI025Ki/E83QVtbW187GMfo66ujqNHjxb/Dh06VHwImfp4i8NstNm9e/cEbZLJJIcPH+bjH//4Yp32smasVMSt3Q9Hjhxh9+7dxZeEaTOlZ7bamDZTHkzVPWfaTWkp+9p25Uxtbe20oxjG39bZ1NAzzC+z1Was/h3kDa4nn3zSfKUtMM888wwvvPACiUSCtrY2WlpaJuUSMm1mcZiNNqbNLB5tbW0cOXKEo0eP0tbWxoEDB9i/f3/RuDXtpnQY48lgMBgMBoNhDphuO4PBYDAYDIY5YIwng8FgMBgMhjlgjCeDwWAwGAyGOWCMJ4PBYDAYDIY5YIwng8FgMBgMhjlgjCeDwWAwGAyGOWCMJ4PBYDAYDIY5YIwng8FgMBgMhjlgjCeDwWAwGAyGOWCMJ4PBYDAYDIY5YIwng8FgMBgMhjlgjCeDwWAwGAyGOWCMJ4PBYDAYDIY5YIwng8FgMBgMhjlgL/YJGAwGw1Lg6aefJpFIcOzYMZ566il2797N008/DUBraytHjhxZ5DM0GAylQmit9WKfhMFgMJQzhw4d4qmnniKRSHDixAmeeOIJDhw4wOHDhzlx4gR79uzh2LFj7Nu3b7FP1WAwlADTbWcwGAwzcPz4cR555BESiQQAiUSCtrY26uvrARgYGODAgQPGcDIY7iGM58lgMBhm4OjRoxw4cGDC/5944gkGBweLBpXBYLi3MMaTwWAwzIEnn3yS559/nhdeeGGxT8VgMCwSptvOYDAY5sDx48dNF53BcI9jjCeDwWCYJW1tbbS1tbF///4J848fP75IZ2QwGBYDYzwZDAbDDDz55JOcOHECyMc7Aezdu7e4/OjRo9TV1S3KuRkMhsXBGE8Gg8EwDUePHuWZZ56ZMC+RSDAwMABAMpmkra2N3bt3L8bpGQyGRcIEjBsMBsM0JJNJDh06xJ49e0gmk3z0ox/l+PHjPPvss+zZsweAgwcPLvJZGgyGUmOMJ4PBYDAYDIY5YLrtDAaDwWAwGOaAMZ4MBoPBYDAY5oAxngwGg8FgMBjmgDGeDAaDwWAwGOaAMZ4MBoPBYDAY5oAxngwGg8FgMBjmgDGeDAaDwWAwGOaAMZ4MBoPBYDAY5oAxngwGg8FgMBjmgDGeDAaDwWAwGOaAMZ4MBoPBYDAY5oAxngwGg8FgMBjmwP8PL3AX5rulT7QAAAAASUVORK5CYII=", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from figaro.plot import plot_median_cr\n", "fig = plot_median_cr(draws,\n", " injected = dist.pdf,\n", " samples = samples,\n", " save = False,\n", " show = True,\n", " )" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The draws are uncorrelated from each other. The autocorrelation function is:" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from figaro.diagnostic import autocorrelation\n", "acf = autocorrelation(draws, bounds = [20, 40], save = False, show = True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's look at the entropy to assess the convergence of the recovered distribution to the injected one.\\\n", "In order to do so, we need to draw a single realisation, saving it every time we add a new sample." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|██████████████████████████████████████| 1000/1000 [00:05<00:00, 174.63it/s]\n" ] } ], "source": [ "mix.initialise()\n", "updated_mixture = []\n", "\n", "for s in tqdm(samples):\n", " mix.add_new_point(s)\n", " updated_mixture.append(mix.build_mixture())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Once we have all the history of how the single distribution has been generated, the FIGARO package comes with a method that produces entropy plots:" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from figaro.diagnostic import entropy\n", "\n", "S = entropy(updated_mixture, show = True, save = False)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It is also possible to compute an approximant of the entropy derivative to assess whether the distribution converged or not." ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from figaro.diagnostic import plot_angular_coefficient\n", "\n", "ac = plot_angular_coefficient(S, show = True, save = False)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "When the number of accumulated samples is large enough to provide a good representation of the underlying distribution. the entropy reaches a plateau, and its derivative fluctuates around zero.\\\n", "Let's repeat the exercise with a larger number of samples:" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|██████████████████████████████████████| 5000/5000 [00:36<00:00, 136.74it/s]\n" ] } ], "source": [ "n_samps = 5000\n", "samples = dist.rvs(n_samps)\n", "\n", "mix.initialise()\n", "updated_mixture = []\n", "\n", "for s in tqdm(samples):\n", " mix.add_new_point(s)\n", " updated_mixture.append(mix.build_mixture())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's look at the recovered distribution:" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plot_median_cr([updated_mixture[-1]],\n", " injected = dist.pdf,\n", " samples = samples,\n", " save = False,\n", " show = True,\n", " )" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Entropy and angular coefficient:" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "S = entropy(updated_mixture, show = True, save = False)\n", "ac = plot_angular_coefficient(S, show = True, save = False, ac_expected = 0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "With this number of samples, the angular coefficient starts fluctuating around 0 after ~3000 samples." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Setting prior parameters" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The prior distribution for means and covariances is the Normal-Inverse-Wishart distribution, which requires 4 parameters:\n", "\n", "* $\\nu$ is the number of degrees of freedom for the Inverse-Wishart distribution,. It must be greater than $D+1$, where $D$ is the dimensionality of the distribution;\n", "* $k$ is the scale parameter for the multivariate Normal distribution;\n", "* $\\mu$ is the mean of the multivariate Normal distribution;\n", "* $\\Lambda$ is the expected value for the Inverse-Wishart distribution, a covariance matrix.\n", "\n", "The `figaro.utils.get_priors` method provides the user with an easy way to get the right parameters for instancing `figaro.mixture.DPGMM/HDPGMM` given their desired values in the natural space. The returned tuple can be directly used to instance `DPGMM/HDPGMM`.\n", "\n", "The following list describes the arguments that can be passed to `get_priors` and their effect on the parameters:\n", "\n", "* `bounds` specifies the boundaries of the interval our reconstructed density will be defined, as in instancing the `DPGMM` class. It is the only mandatory argument;\n", "* `samples` contains the samples that will be used to reconstruct the probability density. They can be used to compute $\\mu$ and $\\Lambda$ if specific keyword arguments are not provided;\n", "* `mean` is the expected value for $\\mu$ in natural space, must be a $(D,)$-shaped array. If provided, it overrides `samples`. The default value is the center of the `bounds` box;\n", "* `std` is the expected standard deviation for each dimension. It can be passed as a 1D array with shape ($D$,) or `double` (if `double`, it assumes that the same std has to be used for all dimensions). If provided, overrides `samples` in computing $\\Lambda$;\n", "* `df` corresponds to $\\nu$ and must be an integer value. It must be greater than $D+1$, otherwise the default value will be used (we recommend not to change this parameter);\n", "* `k` is the Normal scale parameter $k$ and it must be a positive `float` (we recommend not to change this parameter);\n", "* `a` is the shape parameter for the Inverse Gamma distribution used as prior for the (H)DPGMM reconstruction;\n", "* `scale` is a parameter used to determine the expected standard deviation in absence of the `std` parameter. If `samples` are provided, the expected std is set to be `std(samples)/scale`. Otherwise, if no parameters are set, the expected std is the box width divided by `scale`;\n", "* `probit` should be set to `False` if the probit transformation is not used, to ensure consistency (default is `True`);\n", "* `hierarchical` must be set to `True` while getting the prior parameters for the (H)DPGMM class.\n", "\n", "With the exception of `bounds`, all the arguments are optional. Moreover, the user may decide to call `get_priors` with only some of them: the method will return default values for the others. As a rule of thumb, the best practice is to simply call `get_priors(bounds = bounds, samples = samples)`, adding the specifications for the hierarchical inference or to disable the probit transformation, if needed, and play with either the `scale` or `std` parameter only. \n", "\n", "*Note:* A small fluctuation in $\\Lambda$ for subsequent calls with same argument is expected and it due to the fact that transforming a covariance matrix in probit space is nontrivial. In order to simplify the process, we decided to sample $10^4$ points from a multivariate Gaussian centered in $\\mu$ with the given covariance or std (still in natural space), transform the samples in probit space and use the covariance of the transformed samples as $\\Lambda$: from this, the fluctuations." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "One can directly call this method while instancing the `DPGMM` class:" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [], "source": [ "bounds = [-5,5]\n", "mix = DPGMM(bounds, prior_pars = get_priors(bounds))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Priors from samples:" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(0.04, array([[0.00060037]]), 3, array([-2.86732549]))" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" } ], "source": [ "samples = norm(loc = -3, scale = 0.1).rvs(1000)\n", "get_priors(bounds, samples)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "User-defined parameter values:" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(0.2, array([[0.25]]), 7, array([0.86138015]))" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" } ], "source": [ "get_priors(bounds, mean = 1, std = 0.5, df = 7)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Please note that $\\mu$ and $\\Lambda$ are different from the proposed values due to the coordinate change." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "FIGARO works also with multidimensional probability densities, as you will see in the following section. This method as well automatically adjust the default parameters:" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(0.2,\n", " array([[0.03178953, 0. , 0. , 0. ],\n", " [0. , 0.03178953, 0. , 0. ],\n", " [0. , 0. , 0.03178953, 0. ],\n", " [0. , 0. , 0. , 0.03178953]]),\n", " 6,\n", " array([0., 0., 0., 0.]))" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# 4-dimensional distribution\n", "bounds = [[0,1] for _ in range(4)]\n", "\n", "get_priors(bounds)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Multidimensional probability density" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Multidimensional probability densities can be inferred using the same functions.\n", "\n", "Let's generate some data from a bivariate Gaussian distribution:" ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "scrolled": true }, "outputs": [ { "data": { 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VCaOLIAj+I6EEwROO4zCjsNBvMaKC4zjMmzfPbzGixozCQgklCIIQNcRjIHhCa03jngjtluMErTV1dXUJ435v3NOYMLoIguA/YhgInlBKUVtb67cYUSEQFkkU93ttbW3C6CIIgv9IKEHwhOM4TJs6zW8xooLjOMyZM8dvMaLGtKnTJJQgCELUEI+B4AmlFHX19X6LERWUUuzatSthZtl19fUJo4sgCP4jhoHgCa01jY2SYxCLNDZKjoEgCNFDQgmCJxzHYeqUKX6LERUcx2HWrFl+ixE1pk6ZIqEEQRCihhgGgqGuGpobwv5ZaU3j5rXkjKJII4VSipqaGvLz87Ht+Hea7a6tJXeCSghdBEHwHzEMBGMU3PFd6GgLu4sN5AA6ORUrI3vURBspmpub/RYharQmSHMrQRBiAzEMBOMp6GiDs78P+QOHC6yMbMgdPzpyjRC2bVOYIMWaACZNnATiLRAEIUqIYSD0kD8FJoWOvSulqKqqoiB7XNxnrHbrUlCQEO73ml27GDthRkLoIgiC/8gvieCZ9vZ2v0WIGomkS0dHh98iCIKQQIjHQPCEbdtMm5YYBY4SSReAiRMmSChBEISoIb8mgieUUmzbti0hCukkki4AVQlU3lkQBP8Rw0AQBEEQhG4klCB4wrZtJk+e7LcYUSGRdAEoGD9eQgmCIEQN+TURPKGUory8PCFc1omkC8D2HTsSRhdBEPxHDAPBMykpKX6LEDUSSZfk5GS/RRAEIYGQUILgCdu2mTBhgt9iRIVE0gUgf9w4CSUIghA15NdE8IRSirKysoRwWSeSLgCV2ysTRhdBEPxHDAPBMxkZGX6LEDUSSZe0tHS/RRAEIYGQUILgCdu2KSgo8FuMqJBIugCMzcuTUIIgCFFDfk0ET7iuy6ZNm3Bd129Rhk0i6QKwtaIiYXQRBMF/xDAQPGFZFrm5uViW5bcowyaRdAHIyspKGF0EQfAfCSUInrBtm3HjxvktRlRIJF0AcnNyJJQgCELUkF8TwROu67Jhw4aEcFknki4A5VvLE0YXQRD8RwwDwRO2bTN+/HjsBJiZJpIuAHl5eQmjiyAI/iOhBMETgbh8IpBIugBktdbD9tKBd8rIhtzxoyOQIAhxjRgGgicC7vc5c+bgOI7f4gyLhNElIxudnIq14pbI+yanwmW3i3EgCEJExDAQPGHbNpMmTUoIl3XC6JI7Hi67jT3VO8jMzMAizMqEmgpYcQs0N4hhIAhCRMQwEDxhWRbZ2dl+ixEVEkqX3ALG5CZOsSZBEPwnzqdMwmjhui5r1qxJiOx30UUQBCE8YhgInrBtm8LCwvh3vyO6CIIgDISEEgRPWJZFZmam32JEBdFFEAQhPDLNEDzhui5FRUUJ4bIWXQRBEMIjhoHgCdu2mT17dkK4rEUXQRCE8EgoQfCEZVmkp6f7LUZUEF0EQRDCI9MMwROu67Jq1aqEcFmLLoIgCOERw0DwhG3bLFiwICFc1qKLIAhCeOTXRPBMXJcP7oPoIgiCEBoxDARPKKUoKipCKeW3KMNGdBEEQQiPJB8KnrBtm0WLFiWEy3qv1aWmIvI+0oVREPZ6xDAQPOO6bkIMprCX6ZKRbborShdGQRA8IIaB4AmlFMXFxSxatCjuY9p7nS65481g39ww8MGkC6MgCIhhkPjUVXsbECLgOA6LFy+Ojkw+s1fqkjteBntBEDwhhkEiU1cNd3wXOtoi75ucalzOYdBa09raSlpaGpZlRVHI0Ud0EQRBCI8YBolMc4MxCs7+PuRPGXjfCElnSik2btzIggULEsL9LroIgiCERgyDvYH8KTBp1rAO4TgOixYtipJA/iK6CIIghCcx0rKFEUdrTVNTE1prv0UZNqKLIAhCeMQwEDyhlKKsrCwhCumILoIgCOGRUILgCcdxWLhwod9iRAXRRRAEITziMRA8obWmoaEhIVzWoosgCEJ4xDAQPKGUorKyMiFc1qKLIAhCeCSUEK9EqXCRVxzHYd68eVE7np+ILoIgCOERwyAeiWLhIq9oramvrycnJyfuC+mILoIgCOERwyAeiWLhIq8opaiuriYrKyvuC+mILoIgCOERwyCeiULhIq84jsOcOXNG5VwjjegiCIIQHjEMBE8opaitrSUvLy/u2xWLLhHwkpsSJU+UIAixhxgGgie01tTV1ZGbm+u3KMNGdAlDRrbJSVlxS+R9k1NNK2cxDgQh4RDDQPCE4zjMmjU6YYuRRnQJQ+54M9h7We2y4haznxgGgpBwiGEgeEIpRU1NDfn5+QnhfhddwpA7XgZ7QdjLie9fRWFUaW5u9luEqCG6CIIghEY8BoInbNumsLDQbzGigugiCIIQHjEMYo1RrmjoFaUUVVVVFBQUJIT7XXSJArJ6QRASEjEMYgkfKhoOhvb29lE930giugwDWb0gCAmNGAaxhA8VDb3S0dHBPffcw9VXX01qauqonXckEF2GiaxeEISExtLSr3XEaWhoICcnh/qSj8nOygq/Y+CH9OIbR62ioVfq6urIy8ujtrY27tf/iy6jROUm+Mv/RHyeu78f9fVkZ4+uF0wQhP6Ix2A0+fu1kJo88D4+hAgEQRAEIYAYBqPJmZdC4dyB94nRZK1AYlu8J+uB6DLqREpSbGwcHTkEQfCEGAajQCBa05CaDWM8DPoNEWK3PlBXV9fr33hGdBklOi1wbfjP7wfcraGtA+j5ngiC4C+SYzAKVFRUMHXqVL/FEISYZuvWrUyZEiHpVhCEEUcMg1FAKUVlZSVZWVlYluW3OIIQU2itaWxsZNKkSbEdEhGEvQQxDARBEARB6EbMc0EQBEEQuhHDQBAEQRCEbsQwEARBEAShGzEMBEEQBEHoRgwDQRAEQRC6EcNAEARBEIRupPLhKCB1DAQhPF7rGMj3SBDCE816IGIYjAKVlZVS+VAQIhCp8qF8jwQhMtGoICqGwSiQ1dVqeevWrbHZVjZUjauONmhvhZQ00/ExQDRnaoOpreXHDDFYvnDXI4DMYIdMQ0MDU6dO7f6ehCPmv0eC4CNev0deEMMgDK+//jqNjY00NTXxxS9+cVjHCrg9s7OzY/MHLdQA3VQPKUlg25CZjeu6lKxbx7x583AcZ+TOG44oDryu61JSUhJZl1g3XBiELnFApPBA4O+ZmZls3bo1bnWO93sm8vtLJPmjEWaT5MMQPPzww2zatIlPP/2Ua6+9lkMPPZS333577+r+lpJmjIKUNMC09S2cPj0hatnbtk1hYaHoEqfEu84iv7+I/B7OMWJHjlNuuukmMjIyWL58OVdddRXr1q3Dtm3OP/98/v73v6OU8lvE0SE5FTJzut3mlmWRmZmZEElfokt8E+86i/z+IvJHRgyDPmzbto1TTz0VgJaWFgDeeecdDjroIH75y19y8803D9k4qKuro6Ghgbq6Ourq6mhra0Mp1X284G3XdXttB7wVg9nWWvfbBga9rZSivb2doqIiOjo6QsrrZTtWdHJdl08//ZT29vYh6RFLOnV2dvLpp592yxF8z+JJp8Hgui5FRUVD+mwsIPL7i8gfGTEMgmhqauLBBx/kySefBCA9PZ2Ojg7AhBeWLFnCr371K+64444hhRWmT59OTk4OeXl55OXlcf3111NRUUFVVRUA5eXl1NTUAFBWVkZtbS0ApaWl1NfXA7BhwwYaGxsBKCkpobm5GYDi4mJaW1sBeg3gRUVFKKXo6OigqKgIgNbWVoqLiwFobm6mZN06ABobG9mwYQMA9fX1lJaWAlBbW8vWrVuZPWcOtbW1lJeXA1BVVUVFRQUA27dvZ/v27QDD02ndut46tbUNTaeSkrA62bZNfn4+W7duBaCmpia0Tjt2sH3HDqPTtm29ddq1y+i0Zcvo3acQOjU2NpKUlIRt29TW1lJWVjawTtG6T1HWaTDYts3s2bPj2hUs8vuHyB8ZabvchdYay7L43ve+h1KKq6++mkmTJgFmVpaUZPI0ly1bRlFREa+//joLFizwdOyGhgZycnLYsmULubm53bOx9PR0kpOTAXOzA+/bto3ruliW1b1t2zaWZQ1qG8xMMHjbcRy01r23XTf0+13bSim01ma763HpK6+X7X46WZZ3nfroEVGnCNu9dAone5dF7kknxxn5+xQNnYZyn0ZYp6amJnJycqivrx8wOTfwPYq0nyDsjUTz+xGfJtMIEIjXnHzyyfz5z3/mH//4R/eMKCkpqdtz8OqrrzJ9+nQuvfTSQZ8jNzeX7OxscnNzyc3NJTU1Fdu2u388g7cdx+m1HZBvMNuWZfXbDug6mO2AHKs++QStdUh5vWzHik6BUEKAweoRSzoFZuaBATn4nsWTToPBdV1WrVoV165gkd8/RP7IiGHQh9NOO42bb76Za6+9lttuu42mpiYAkpOTu42DlStX0tbW1u0S3RuwbZsF8+ePrPuto80sk+xoG7lz0KXLggVx60oMJpF08Uq86yzy+4vIH5m9to5BIHQQ6r3LL7+crVu38uMf/xiAb3/72+Tm5pKcnExbWxtZWVkcccQRsb980WuSpFJmaeJAaI0z0l+k9lYjS3tr6CJCUSSq65d9rncQj2uxh0u86yzy+4vIPzDxaTJFgYBR0NnZ2e89gF/96ldcd911XHPNNfzqV79i8+bNAKSmmgErkESYEFhWxJfSmqI1a6K7XLPveYJrJ/T9WxQJTowblHwDvXzCsy4JRLzrLPL7i8gfmb0q+VBrzRNPPMHHH3+MZVn89Kc/BUzMJpwF9te//pUf/ehHfPWrX+WQQw5h+fLlPPbYYxx00EGe67b7ljTl9cHROqLHIJAoZgfFk+OVbl26EuaicEDv+0b52kVdFx/w+v0I7FdXV8eYMWPiVud4v2civ7+Ekz+a48xeFUq45557aGpq4pVXXuGNN97gP//5D2vXrh3QLXPRRRex7777smrVKu6++26qq6s588wz98pmLq7rYse5Cy5AcPZ8vJNIungl3nUW+f1F5B+Y+L0yg+SBBx5gypQpXHHFFTz11FPcdtttbNq0iRdffBEgZL5A4L2lS5fyve99j1dffZUrr7ySefPmjarsvtKVEKjaWiheuzZu3W/BKKUoLi4WXeKUeNdZ5PcXkT8ye0UoYefOnXz44Yecdtpp3e+1tray//77c//993PggQeG/WxbW1t3XsFQietQQlN9T3JiZo50EQxFHDRbimUGG0qQOgaC0B+pYzBIcnJyWL9+PZdddln3e2lpaZx88sk88cQTXHnllVxwwQU899xzVFZWdu/z3nvvceWVV7Jx40Y/xI4+Q1kO2JUQqJNTaWltjf2VGB7QWtPS0hI9XUZpmWUooq5LHBDvOov8/iLyR2avMAy01lRVVfHmm2/y/PPPA/DHP/6RnJwcZsyYQWpqKu+88w6f+9zn+PnPf87OnTsBGDt2LPfeey9tbaP/gz8itLea2W17q/fPdDVTUk4yGzdsiFv3WzBKKTZu3Bg9XYKXWY4yUdclDoh3nUV+fxH5I7NXhBLANDDatm0bCxcuZM+ePRQVFfGZz3ym++8bNmzgBz/4AS+++CIvvfQSRx55JGDcM8N1y8RMKKGjzQxeKWm96wR4WJXQjbjC+9PeGvq6hkKuXz8klBCD1FVDc0Pk/TKyIXf8yMsjRERWJQyBQBligDFjxnQbBYE+CHPmzOHGG29k2bJlPPHEExx55JForRPjByjYIMjMGdIhtNY0NzeTEcftSgN065KR4V2X4ME/Ja3335JTR7wgUziGpEuco7WmqakpbnWO+XtWVw13fNdbaCw5FS67Pa6Mg5i//hEYDfn3GsOgL4F1oIHmSEop5s2bx9KlS1m8eDFAXD40IQkOIQxxAFNKUbZlC/PmzYv7qmGqs5OyzZuZN3fuwLq0NvV4Ulr2GA/MnjrIye8/809J93BiDxUmA3jcTylFWVlZQtwXr8S7zjEvf3ODMQrO/j7kT+n3Z7dL/hljkrAfvc3sH0eGQcxf/wiMhvx7rWFg2zZr1qxh165dHHPMMd1rQlNTU1myZInP0kWJwOCSmt4z2x3i2lcnKYmFCxdGUTj/cByHhYHOmOHCK31RLrz7FHz4AsxdAqd+s/f+XozIwD5ez+kBx3ES5r54Jd51jhv586fApFn93naAWVPmQOWm0ZcpCsTN9Q/DaMi/VyQf9kVrTWtrK2eeeSY/+clPaG5upqmpieuuu44rr7ySWbP6fxnimpQ0GJPb3wU+CLTWNDQ0xG0mbzBaaxoaG40ukRIytYbit+HvPzH7fOcmM5jfe51xuXa0G2/CYFYkDCUJdCBdEuS+eCXedU4Y+Ylz+eP9+suqhOhiWRZpaWn8/e9/p7W1lRdeeIE77riDs846i0WLFvktXkyilKKysjJuM3mD6aVLoC9DKKOpZhv853p4/xnjVj3lGzAmz3gLDjoe/vULKP108CsSBjrncHTZS4h3nRNH/vgcWBPn+o+c/HttKAHgmGOO4fHHHycjI4Njjz02MRINRwjHcRKm4qPjOMybOzfwn/7u/PYWWPkAfLoSjvkC7L8UrD429OLjjKv1sT/AIafA4Wd4FyCKyYqJdF+8Eu86J4z8cRxKSIjrP4LslR6DYPbZZx+ysrLEKIiA1pq6urq4db8FE1GXLcXwzpNw+Jmw/7L+RkGAKfvCISfDW4+YHAQfSKT74pV41zlh5I/jUEJCXH8JJQh+o5Siuro6bt1vwSilqK6pCa/LnIPhWzfA2rfhvl9D9db++7id8OK9xqvwtesgLTP0sUa4KmIi3RevxLvOiSN/fA6siXP9R05+MQwETziOw5w5c+JyeU9fHMdhzuzZA+sycSZc8BNYdDTcfwO89C9oazZ/a24w7zXsgq/+AsZODH8cr1URh2hAJNJ98Uq865ww8sdpd8KEuf4jKH983llh1FFKsWvXrri1soPxrItlm/yCb91gPAR3/T9492n4x89g+kKTjGhH+HIGlohGSjQc4kqFRLovXol3nRNG/jh1xSfM9ZfkQ8FvAnGtQPXIUWWgqoNDQGtNXX09uWMyoLM9cj2BtEw4abkxEt5+HE78KkyeYzwBLU3mGHaIJEbonWg40Bc5Ja1Hx8Hq4td98Yl41zlh5E/tMgxqKiJ/KIZKJyfM9R9B+cUwiEd8aPPrOA6zZs70dn6lwp83uLiPk+yt4FJbi7fKjVp70texYFZhIbQ09hzXSQ59vGAmzICzvtelR7sxCJTbEyqItNJAK9Bh5HOSIb1LBq8VErXGsW1v98XLcxAn7aMdx4nrWiMJI39dtXnmV9wS+UMxVDo5Ya7/CCKGgeAJpRQ1NTXkjxvXXSVySARm/817IGectxlySpoxKKLgLQBQGmp27yI/ewx2wGMQSqf0MeEH6ECyYbA3I9JgGSnsMASUUtTs2jX8+xJHKKWoqqoiPz8/LnXu/i4lgvyX3R652VJNhTEeYqR0ckJd/xGSXwwDwTPNTU0wbtzwDpKSZoyCJCf0YB+qXHBSStSMggDduqR66HEwEFEKbwyHqNyXSESxjHM0aG5u9luEYZEw8ueO9z7Yx1DIIWGu/wghhoHgCdu2KSwsHP6BklMhNz+86z0KDZ8iETVdYoBR0yV4dYXPhkG837+9Tv6M7JgKOex1138IiGEgeEIpRdXOnRQUFAzffRVIyAuVjDfEJLzBoJSiqro6vC7Bs+PhehRGmIBbvSAvpycsMhID9yjcF68opdixY0d0nkUf6L5ne4v8uePNYB8jIYe97voPATEMBM+0d3T0fmMk3MtRLBc8EN26hNIh2GsR44YBdOkSWOY4UjP6UbovXmlvb/dbhGGx18k/mJDDKLDXXf9BEn/mkuALtm0zberU3haq1+I9I8UQiwL10iVgBNRV9WTlR7HJUbRkDke3LmkZ3uolJAC2bTNt2rS4nO2ByO83Ir+Hc4zYkYWEQinFtr4dvbwW7xkphmiYKKXYVrEVVbbG1CX4589M8aJHbjUDdnIqZOaMzAw5ii2XIei+OMkjJ3OMoZRi27ZtcV2gRuT3D5E/MhJKSFSCXeQjNXD77V7uG/fubB84tNHaBJtWYZW8x4SNH2ONmwj7HgLn/ADGTYZn74K//RjO/V/ILRgdmQVBEGIMMQwSleDZdBQGIdu2mTxpUhQEiyJ9DZNQmfN1VVDyLqz/ELaXQuFCrDkH45y0HMbk9j7eGd+BD5+He66Bz18BM/cfeZkDDDFfIybvywhj2zaTJ0/2W4whI/L7i8gfGTEMEpUoz0yVUlRs3cqUSZN6YlvBM/SklKCdXW/FfLQLXrxhqhO0h+Mp1/Q0sFJg+yZ48zEoK4K5S2DJyTBtPiSloOp3U1G5nSkF7T26tDZBagbMOci45B+9DQ48Hpae663Kn+Phq6SUuWaBcEXwNQsOMXitCEnXfdm2jSmTJ4ePOUaqaBhslATLNBA+Vj5USlFeXs6UKVPiMk6slKKiokLk9wmRPzJiGMQjXn6URyCEkJKcbM4dOH+4mgO243FgS/JYqtfuvV9HG7S3QUqf2beTDHtqjUGwZTUsORVOXt7/OlialCTHGBIbP4bVr8O2DTD7IDjhQpg0C750FTz5Z6jdAWd8OzohE9s2smvdv7hTsCHn9cvedS9SUlJ635fBEkM1CrySkuLRgIlRRH5/EfkHJv7MJcEXbNtmwoQJvS3UkczeH4j2NtN3oD0os39XJTx1J9z3ayiYChffCIedHlI2u76GCSWvYt9zDax50zRH+vZNkJwCD/wO6mtMmOGcH5qB8m/XmpBENAh3zYaY8BjyvgxFpjha0RAVnX1E5PcXkd/DOUbsyEJCoZSirKysdybsSGbvD0RKqmmJnJJqDIJHb4d//hzGD2AQuJ0m1+C/v0U/eht1TS2oL14JZ10Bsw80OpxwISw6xhgH5WshKdl4Cw45yRgHm4uGL3uUr1nI+zJUmbyGEXwmKjr7iMjvLyJ/ZCSUIHgmIzPTbxF6wghNtfDC42awPvwMOO0i4w53+uQi1FXDqpeg6HXYZzoceDy6YDrtrR2Qm9P/+PsfA/mT4Om74MDjYOl5cNCJMH4arLgZDj3dnM/HGHtfMjIy/BZh1Il3nUV+fxH5B0YMA8ETtm1TMN5D5bJAIltq+gjVAWiD9hb496+NZ+C0i3q8A60hGos8ezdkZsOFP++uvGY37qYgbwAjZ9Jsk2PwwO9g7mEwcQZMnQvf+I15r6kWjjk3Jlzvtm1TUDBCSytjlHjXWeT3F5HfwzlG9OhCwuC6LptKS3Fdd+Ado1zApx8pqSYkMGMRHPG5yIPzzAPMaoOgcqyuUmyq2I47kCtuTC5M3heqtvS8lzUWvvJTKC+B1x6InO0/Criuy6ZNmyLfF69EuTLjSBB1nUcZkd9fRP7IiGEgeMKyLHJzcrAiudBHOiFRa3jnSTj6HG/7zzsU1r3fq2GTZVnkZmVG1mXcRKju0yo2NQMuuNYYBy/d67txYFkWubm5kXXxit9lrj0QdZ1HGZHfX0T+yIhhIHjCtm3GjRsXORM2ObWnzWow0ZqJfvi88RaM81jUJ3sc5IyHrSXdb9mWxbicbOyIhsEkqNna//3hGgdRnJV7vi9eiYMVClHXeZQR+f1F5PdwjhE7spBQuK7Lho0b+7uvmhugemvk184ycN3IM9HAoBl4BQ+e7a2D8xYEmHcYrHuvRxel2FC+beBQAsDYiUb2UAzHOIhiuMV1XTZs2BA9t6JfK00GQdR1HmVEfn8R+SMjyYfxyGAGoSi5m2zbZnxuDrbbaQoDgRnY7vyhSe4LRun+521pgPmfgaPOgbauJEGtIaVPW+PAoNnSDOkZ5v+WDbYF7z0N0+eb+H9biETD1qb+xwOYdSDc90tY+mWwbeyWPYxPS8Jubhz4+jhJ0LIHmhpCz6DtJNNX4f7fwvN/g+MvHLgQU2eHWTWRlAwd7eZf1dn/uK5r/hbqGMFojW07jM/PN96PcM+FUh4LSYW4bzGIbduMHz8+rmd8UZe/rtoY6ZHIyB52+2O5/v4yGvKLYRCGBx98kNNOO4309PS4fYCiSSCu1YuPX4TC/eCzl/V+v60FkpN7v9fabDL633gYjv1yT6W+vtc2Nd0YA5ljzP9T0kwNgo42+OA5OP/H4cstp6aHNgzGTzFNkarKYPpCrDF55CZ5KWHsmnBC7Q6YOCv0PulZcF7XCoaX7u1tHAQXYkpO7dLZjlyV0gryZPQ9Rt9d+96XUD0XvFZFHE71xFHEsixyckIsNY0TQn6XhkNdNdzxXW+hqeRUuOz2YRkHUZd/lBH5IyMjXgjWr1/PO++8Q2ZmphgFXbiuS8mGDbhu16DV3mpm8Eee5e0AaRlmdl2xHl75T/jZbcCV3Xfg/PglmL6fce8PhXmHw9p3jS5KUVK2NXIoASB/Sv8ExL6ECysEF2IaKhGO4bouJSUlPW7FOEgeHC79dI4zoi5/c4MxCs7+vinwFe519vfNfl48CwMg199fRkN+GfVCcOutt7J69Wpc141qdam6ujoaGhqoq6ujrq6OtrY2lFLd5wjeDj6367rorsFmMNta637bwKC3lVJorZk0YQKgjVwfvYCevhCVN6Gf7GF1SklDffF/oGI96uX70G2t4fVob8Xt6ES3tUB7K/q9Z9BHfDaCTiqMHgrmHYZe9x5uRye2ZTEhf2z3OZXWPfIGbyuFGjcZaioGuE9d26kZuF+6Gt1lHLidneikFMjMxrWThn6f7CTIzEYnpYS8N5ZldZdHVUrhOilg26iklIj3I5aevcFg2zaTgpt5xRkjJn/+FNPnI9wrf0pUTiPX319GQ/74vDIjgNaaF154gUsuuYQ//elPXH311TiOE9WLP336dHJycsjLyyMvL4/rr7+eiooKqqpMHf7y8nJqamoAKCsro7a2FoDS0lLq6+sB2LBhA42NjQCUrFtHc7OJtRcXF9PaZlyJRatX09HRgVKKoqIilFJ0dHRQVGRK+ra2tlJcXAxAc3MzJSUmY7+xsZENGzYAUF9fT2lpKQC1tbVs2bKF7KwsdtXWsrWsFN57mpr5y6jYvh2A7Tur2L7T6FGxs4qqml1Gp22V1HTpUba1gtrWTjj3f2krXU3by8ZzEFKnlDSKS8to1RZ8/BK1eVPpyB5vdCpZj9pTT8eeeorWrjM6tbVTvNHI29zSQsmGjUanPXvYULoJcvJxx+Sx/YNXsSwL13XZst3IW1NXT/mOagCqdtVSUWVk376rjt1JY6C6gort26mqNvemvKKCmt27u3Qqp7br3pRWVlF/xhVQXkL9w3+gacs6qN7K5g/eoGXrRqiuYNO7r9G2rRSqt7L+7ZV0bC9DbdvI+jdeRG3bSMf2Mta/9zpUb6VtWymb3n0NqrfSUr6ekjWroaPN6LRxEwANDQ1UV1djWRa1tbWUVW6HzBxqGvZQXl5udKqqomLbNqPTjh1s37HD3Kdt23o/e7t2eX/2Skp6P3utxsgrKioa0rM3GCzLIjs7O66Xm4n8/iHyeziHDpj6ezmffPIJBx54IAC/+c1v+N73vtc9o7/jjjtwHIcDDzyQE088kSQv8ekgGhoayMnJYcuWLeTm5nbPxtLT00nuisUHZnyBbdd1sSyre9u27e4Bzbasnu3g9/tsg5kBd28rheM46K5ZsddtpRSdnZ1sWLuGfadMIumtR7A621CnXhxSdtXSBMnJ/XVSCiuw3dKE/eDvsaYvwD3uK9iOE1qPrSVYD92I++VrsLuWKKrytdiP3Q5Y0NmBlTMenZOPHpOHnT8JnT0elT0OJ28fdGo6qqwYZ/Vr6I0fo07+Jkyezdqtlew7fQopSUkorbsS+eze250dYCdh/+NadNZY9KKl2As+g0pOC7pPCku72KlpPbK3t6Af/QPUV2MBgS+YhUZjdW33vN8PrbEsK+hzoPfUoo+7AHvOweiMLHNvbJtObYyp+fPmmc9o3X3Puu+H60LXs9Tr/VDbjjPws+dxO/C8eXn2mpqayMnJob6+nuzsPomsIb5Hu3fvprKyknnz5uH0LYEdBwRcwVGTv3IT/OV/TLhgUphcmCjuF3X5ByvfMBkx+UeJcPIHvh+RvkdekOTDLg444AAee+wx/vvf/3LKKaeQnp7OypUrmTBhAunp6ezatYvTTz+d5cuX89vf/nZIJSlzc3MHvGHB3ongG95vu8uWG3CfwHaIY1qWNaht27ZJTk6mcFwOSdvWYW3+FL7+m17y9tvu+n8vnYK30zPhvP+FB2/EeflfcOLX+stesQ4e/j/43Hdx8iebN7eW4Dx+B5z1PZg6z8TSG3Zh1ddg1e6APXVYFRtw6qvNwNzWgrPPdNh/KdaJX8NJH4Our2HGpAkkB/QLSrrrtW3bZgXEd27DKivC+nQlvPof7ElzTC2FmQfgjJtk2kIHy56agXXe/3br0W3Xu51YTlL/9/vidoKT1Ovv1s4tWPf9GmYu6rk3XUbAjMLC7oE57P0I1incPoHr7uW5GuJ2uGdsMNi2TWGXzvGIyO8vIn9kxDDAhBEsy+LMM89k+vTpvP7662RmZjJ9+nTmz5/P4sWLAViwYAFf//rX2Weffbj++uv9FRpCZ6CPEJZlkdm+B577G3zparMCYLikZpgSw/+6Dl74hzEOAoPblmJ46Eb4wv+Y5kdgihQ9ejt8/rvGKACje/5k8+pc0H9VQtcg20+X9EEU8LFtU1p55gFmxUV5MZR+auTrbIfCRaZD48xFZpXCSLDPdNP5ceUDcOal3W9blkVmLDS3GkXiXWff5a+JkEwb4e++yz9MRP7IiGEAvWZa+++/PwCXXXYZ3/nOd5g/fz5gjIcLL7yQxsZGLr/8cr72ta8xb948X+TtJjgDfYQNA7etlbbH7yTtqHOwAwN1NAhlHJSv7TEKpi8w9QlCGQVecPo/4q5SFG/czIKZ03t5MbzJmw5zDjYvgLoqKP0Eit+CZ/4KeROMATF7MUyZG73lfy174JgvwJ0/gi1rYPpCo4vrUlxczIIFC+LSLToUXNelqKgobnX27Z4FKpKuuCXyvoEKpiGI92dO5I+MGAYh2H///bnhhhuYMWNGv79dcMEF/Otf/2Lr1q3+GwYpaT0egxHGfulfpOwzDevA46N/8GDjYMUtUFbUYxQAbF0Hjw3BKAiDbVnMnjo5cklkL+QWwOLjYMkppu5B5UbY9Ak8eSdMKIQzvj18o+3TlfDUnXD6JXDqt+Cpv8LFvwcnCdu2mT1njje3YigP0yh6naKFbdvMnj07rl3BvsifO97UMBhmISS5/v4yGvKLYRCGQCJiXV0dGRkZpKSkAJCTk8O8efOIiZzN5BDV8ILxWvHO7exfaCiYte9ibfyIpK/8xFTqi7SCs7PdVPiLRN+19l/8H3jmbvjc5WZQbWvu8hTcCqd8A/L2gT214Y+3o8ys+Y+A1dlBetZYaIqwY0M1JHswuiwHxnflQGTkGJf/gs/Aaw/BXVeZwTx7nClUlJ0f+Xh1VcbT4brw1qPmGpzwVXjhn/DlayCvAF76Nyw5BSt/MulpEWQMPAdtLSY/pa0FnK4CVMHv2Une7hv4WgjJsizS06MQyvIJX+XPHT/syody/f1lNOSPT5NpmHgd1FevXs23vvUtHnzwwe732tvbAdhvv/1GRDZPBBLkvLyGS+1OePYu3LO+z6rN23AtB5JSBn5lZENaZs8ruatVslK93+/r6UjN6O0VCIQPTv4GTFsQ+bwte0zZ4Qgvt72FVdtrcZNTTWgg3Mvj8WgLYWE4yabC435HwcM3Ga8HmKqNkV5oaGmEJ+6APbvhCz+CWYth7qHGUDjqHCh6DeqqcJVi1SefmGJN4Z6BQPJhcOfLwN/6vhcHuK7LqlWr4rpAjcjvHyJ/ZPYqw+DDDz8E6F7WFYn99tuPpqYmVq1aRWNjI5WVlfz+97/nRz/6EZMmeezuF890dsDDN8PSc7EnzmDBvkNwX+3cAvdcDe8+Cf/6BTQ3evtccE7BUJcutTWbAbRsda9ysTawYMo+gwslaG0aKn3yigkXePUYLTwSTvkmvPwvWPWKt89Vb4UHb4Qp+5rPBgyoJafAtg3Go3DoqfDq/diWxYIFC7zdl1ANkoLf62yPWtfHkcS2be86xyAiv7+I/B7OMWJHjjHefPNNfvWrX/HGG28AkY2DwLruZ555htNPP50XXniBt956i/POO4+FCxeOisy+89K9MHYCHHgCwOAS9ZQLrz8E/74ODj8TLv4/2HeJN+NgqImGAbQ2xsBL/wIsM9A+9zf44FmoKgetcGyPRsGeOih+G56/B9a8aVYdrP8AXrnPu4EwcabJmdi0Ch7/w8ADb9Fr8MxdcMwX4ZBTeodGklPN+yvvNx0jO9vh05XRS0CKo3LK8Zg0FozI7y8i/8DsNTkG7777Li+99BIAnZ2dLFu2rNs46FtBSncVuAn8bdmyZT5I7DNr34WNq+BbN4BloVyXopL1LPKSCVu91STLZY2Fi26ErDzz/pGfN//+6xfwlZ+FzmsYrlHQsBtWvQhYcPQXjAxgBrttG2Dt29DcSPXEBYxfcixOToiYf2cHbPrYDNItTTBtHhxxVs+x5hwMVVtg7TsmRDL3UDO7H4jMHKPTu0/BP38G5/zQJC4GUK4xZEo/NU2pxk0OfZzpC805P34Zln0JnrqT4vZUFhx82PB/LFLSjNEyCsmswyFQVXHRokVx+QMv8vuLyB+ZvcJj8NBDD1FdXc19991HRUUFt956KytXrgRCew4ChsLOnTu7S73uVbS3wrN3wzk/6K5XYNs2i+bt68199cFzJjdh8bGmQFCA5FSzjK+uyqw8CEZr0yhpOEYBwNq3TK5CsFEAZrCbsQiWngcHn8Q+2z7F/vC50MfYUQqvP2xm68d/BRYe1ftYlgX7FJrZe1qm6TLpZZbtJMFpF8O0+fDOk73/Vl0BH71gkguDDYZQ7L8MNn5kajdMX8DCpJbouBWTUvqHGmIQ27ZZtGhRXLuCRX7/EPk9nGPEjhwjaK2ZPn06V199NWeccQY33HADZWVl3HLLLQMaBxUVFXzuc5/jT3/6U9wmqXimsx2aGnpc3B8+bwbRCb2Xa3rqRggmLn7OD+Ctx+CvV5oZrlbGYLj/d2ZGvOCInv3bmuHxO+CTV+HCnw1vSeL+y0yb5HBFWuqqYNVLqNkHwzHnht5nylw49/+ZsMGL/4R17/V3/zfUGJe+ZcNxFwxult3WYlZdBLPPdDjkZHO+SOGJzUWmVkLXsdzUDO/nThDi/Tsp8vuLyD8wCW8YWJbFkiVLyM7OxnVdjjvuOG6++eaIxsGUKVNYtmwZhx56aFy6mwZFR5sZuNu71rS/8yQcfU6vXZRSFK/f6K3bpGWZLPqv/9rMuN96DG6+GFa9DN/4jYmPB9i5Bf7+UzNT/cpPI8+WI5E+BpacZvIJmup73tcaNn8Kbz2KmncYRZMPRdkD3NfssbDfkcbD0NRgii+te89cn3XvwRsrYPZBJn8ibZBVyMqLe2o0BLPsy9C42+QyhEO5sP59mHeo+X9dFRuq66PaBTTWUUpRXFwctzqL/P4i8kdmr8kxgJ6EjWXLlnHzzTfzgx/8gFtuuQWApUuX9ss1+O1vfxu3HbgGRXIqdLRDSqqZ1c9YBON6r7pwHIfFC+d3LafzSMBAmHkA7NgMBVN71s9rbeLkbz0CJy2HuUuipg7jJhnj490njVdAKxOmaK6HpefhpKSyeKLHVSWZOXDQCcbIWPeeqW5YMN14CQIGwWBKWtRXm7oRufv0/5uTBJ+/Av52DUycBQXT+u+ztQRyxpuX1lj1NSw49Ejv9QdCEVzkKMbzC6DrWewqUx6PiPz+IvJHJuE9BuEIGAcBz8Err7wCmDoFa9asAdg7jIKOtq6Es1QzWIfwFoAJybS0tg2tsJNlmcz87qI6zbDiZihaaUIH0TQKAszY3xREeu9peOU/kJZhjITMHKNLe8fgdMnMgYNONNUHh+IlCFC+1ngLwj1bOeONnM/9zYQc+lLybo/HpWUPOi2DFitpeAW32lvNvY+D1QjQ9Sy2tMRGkbEhIPL7i8gfmb3WMIAe42DLli3ccccdPPTQQ/zyl7/srnIY9ygV/tXeambBzQ3Q2QmtzfDeMybrPTvfeBCCXqqtlY0bN6LaW01OwkCvpjpz7FCvzUWmtWpqOpz+bUhKNtUMB3o17Dbu/Eiv1iZo3dPz2neJWfmw7yHm1d4CrXtQ7W1s3LYD1dZs3gv36miHzrbeLzS4fd7vaDPGTqRXa7NJupwyd+DrN2k2FC40qxTaW3uMtz21plDStPnm/7U7IGc8GzdsMK2Vu1pG93spFf5vWvcuchRNBjpn8GuQBolSyjyLcewKFvn9Q+SPzF4VSgjFsmXLuPPOO/nsZz/LihUrePvtt5kzZ47fYkWHgbJWO9q6fpiD9nv/GbjgJyHDBY7tsGjBfJO5HvG8rf1nxFqb5MK3HoUTv2qW/O2p83a8tEzI9NBffPp8SO+z35yD+u3mtLeyKNQyxb5kjfXmGWht8raf22kG9qPOGVjvvAlw8tfh378y9RgOPtG8/9GLRp9A4uLOMqy8AhYtWjTweYPaLockOITgh5dskIaB4ziRdY5hRH5/Efkjs1d7DAKumCVLlnDIIYfw0ksvcdhhh0X4VIIQmCVmZpuEvU9XQuF+/XILAmitaWoeovtq9w6z6qDoNTj/2p7OhD6htabJD1diw67w+QV9cZJMz4i3HjX5GQBFr5s+DAHqa9A542lqahqaLh1tsVHpcJCeCq310HWOAUR+fxH5I7NXGwaWZdHZ2cnvfvc7rr/+eo499li/RRo9gkvhtreaWPyRZ4XdXSlF2bZtg3Nf7d4BT/8V7r/BlDX+8jXDbuASDZTWlG3bjlKj/MNQsW7g/IK+5OSbpZ+P3m6KMzXVm2JLAeqr0dnjKduyZWhuxVipdDjIuglKKcrKyuLaFSzy+4fIH5m9PpSQlJTEZZddRmbmEJPJEoGPXxzQWwDGfbVwzmxv2e91VcbQ2FIMh5xkOgOmxE7RHMe2WTh75uifuGK9yeEYDHMOMisR7r8Blpzau0RyfQ32wiNZOCvE0kcvjGLb7mjiOE5clyUX+f1F5I/MXu0xCLBXGwVgMuVnDByz0lrTsGePN/fV43eYHgvf/K0ZzGLIKICALj64Em3HJBT+59fw5iPGg+B2Rv7c0nNNIuX+S/scz0ZXbaWhoWFouoRqqhQHaK2HrnMMIPL7i8gfGTEMBDj4JDPDH7CplKZyZ1Vk93tnhynSc+jpMWcQBFBaU1lVjRrtH4YTLoTv/hEOO8PM1F/6F9x6icm9GAgnCc64xIQWgjnxa/DWI+xa/X7cukWHglKKysrKuNVZ5PcXkT8ye30oQcCs+X9jhekaGKamgOPYzJs1E5wItuTuSlO9MIbrkDu2zbyZhf6cPCXNFHwKlDTevd2ECeprTI7HYFYF5ORjnfEdZjz3NzjocHD2Ds+X4zjMmzeMstk+I/L7i8gfmdj99RZGhlCZ6JYFR3wO3ng4rNdAa02dF/dVdcWAuQqjhtamFkFddb+se6NLY2y4EsdOhK9eZ7o5Pv0Xb6GFIPS+h9A64wD043/01gI6AdBaU1dXFxv3bwiI/P4i8kdGPAZ7G8FV7oJjy5P3NcWGwngNlNJU76olK2csjjPArLamAsYO0TBobjSDY8seUxcg8HKSumoKZEDaGPNearqpDNhUbwoq7akzRkBbc0/hJtsxSzGbGsy/YyfCuInorHHUJ+eRNX9/nJEKdzQ1GHkdD1+xzGw4/yfw2O3w4O9NdcXkZE+nUUqxdd+lzH79b/D+s3DoqcMUPPZRSlFTU0NWVlZc9jFRSlFdXS3y+4TIHxkxDBKZUBZlcCZ64O9upzEKDjoRXn/ItEbu49J2LJgzZQLoThhoUltVblY4BDcwCseWNRDoEtbeCh88Yzo6Tt+vp9pfoKpgyx7oaO2p69/RBkmpXcZCpvk3K88U/0nLMIZDYFDW2ny+cTc01mJXbmR6Uz28/BfTQTF7LGSNg8mze7eJtuz+cf2QOm/tuZZN9VC6ynhOtDafHzvRFC3KGw/ZAyzX3P8YUwTq3l/AuVf2liUUbidOpsOcmTNg3HdNM6oJhab8dF+8FJICfwocDRLHceK6CJnI7y8if2TEMEhkQsX5QzXKCRQ7OmAZfPQClH7a072vC6UUtc115OVlDtwHfFelSa5LTY8sX+NuM2C1t8Inr5imQVPmmr8lpwBZPfvtE6KhUKhz5wV1Zww2jNLHmFfBNFRNJbXZE8lzFHZLIzTWmhj/W48az8T0hTB+ikmkzPNQjKh2hznXlmKzPWWe6aegtWnPXFcFJe8Yo2HcJMifYl55+/SvMrnf0VD6Cfz3t/DFH8H4qeHP29mBUpraunrycvOxT7sIHr0NvvYryMgK2lH7M+B7PecgZVNKsWvXLvLy8ka0J/1IoZSitrZW5PcJkT8yYhgIPViWWRr30r9NOCHoBzuQY5CbOzb85wMrErI9zLIDBBsFg13jP0Q0UNehyU22zax8TC5MnAH7HgQ7ymDjx1D8Nkydawbmgdb519fAplWmquGUeaYnQ3D4YOxE8wJjGCSnmnBL0WuwZ7fxJCw6pvc1m3MwzNzfGAdnXmr6JoTTRUNdQz25OTnmczvLzHLIL/+4j3GQOARirLm5uX6LMiREfn8R+SMjhoHQm5kHwMoHYN37vbwGjuMwa/q0gVcb7K40g6BXK7ajDVa/MapGAZiwyKzMEDLajqnQOGmWyVfYXAQP32wG6XmH9Q4r1NfAp69CZSmMnwzzPxM5n8BJgn0KzQtMw6RtG8yKkCWn9vYOzF1iDJZHboVlX4L9jgp9SMdmVmFhzxtHnWOqGSawceA4DrNmzfJbjCEj8keBumqTRxSJjOx+1VZjQv5hMBryi2Eg9MayzLK5lQ/08hoopajZtYv8cePDu6+qK4yL3AvNjab2/z7TexsFHe1dYYSRQ2moaVPkp1jY4dzYuePNYDx2Iqx/H567x8zup+xr9NxeCguPgMM/Cxs/8pZk2JekFKP7mDx47ylYeJTpnBhg8hzTW+LB3xtD5IjP9XO7K6Wo2b2b/LFje+7LMV80/3YbB2MGL1sMo5SiqqqK/Pz8uHUF19TUiPxDpa4a7viutx4fyalw2e29jAPf5R8moyG/GAZCfybvaxL9dlVC/uTut5ubW2BcmM9oDWvehFmLIx9fKXjqL+bYwUaB1vDBs8a1Hinxbpg0dwJe7I/0MXDAsSb2v6UYXnvQJPed/f3oGTDjJsFnupaLTu2zPnnsBLjwZ/Dg/5kkzGO/3M84aG5uhrF9QjzHfNEYX+8+Ccd+KTpyxhDNzc1+izAsRP7hnLzBGAVnf3/giUhNBay4xezfx2sg139gxDAQ+pOaBslpoHsqa9m2TeHUKeHDBKtfN0sGDzze/DsQHzxrVkFM2bf3+w01ZvBrbhhRw8C2oDBUKGEgnKQeeVubjfzRpLnRLPMM5cHIyIYv/T+4/3fwyn96GQe2bVM4LUxi5uwD4aPnoytnDGDbNoXB4ZM4Y1Dye3GZ11QMW6bBEDPXP3+KCfsNkpiRf4iMhvxiGAj9CVE737hvqyko2Ke/+2pPLbz8b/jytf2z7PuyYzN8shLO/zGsfbv336q2Gvd6S+MwFRgYpaGqVVGQOkAoIRS7Ko23oLPD9JeYPsTmRaHYWWaWGoYjNQPO+9/exgFd96W6hoLxIdyK46dAzbboyRgjKKXYsWMHBQUFcesKrqqqiiz/YF3mGdnRE3IAPMsfo4j8kRHDYG8iUAMgJW1IjXPaOzr6v6k1PHMXHHIKFAywtA7MuZ+9B074iinq0/c41VvNrLx5ZA0DgPahlBnfVWnc/hNnwYfPmXyAaCwD1NoYBvseMvB+fY2Do78AQHtniPsCZqVDc2P/YlYBhvk8+El7e7vfIgwLT/J7dZlDyCS7kWSvuP4xzEjLH3/mkjB02ltNfL+9ddAftW2baZMn9bdQV79uPAaf+Wzkg7z6XzPLDtXJsaHGDFB5E0wxohHEtmBahj04bwGY2fe4ScZ96SQbr0E0aNxtQhWZOZH3DRgHFeth5f3YlsW0yZNDzxwsy8i7K4zXYBjPg5/Yts20adPicrYHQ5A/4DIf6DWKRsFed/1jjNGQXzwGsYTX2tfaY8GavvsFVz0Mxu3svV9nO6BNVcKu2v1KKbZvKWNiQdCqhD11pubBOT8wuQEBtm3oL0vFevNa9mXY0jWg1laZ84DJ8s/INrOkpnrjPQhg29Da0vt4HW0m7BAsd1tL1zEHRjU3sr2jiom0Yg90GVPSoWF3z/+rK0z748Za8+9HL0LuPibnQLkRz4vbaWoX9KW82CQZBv6WnBbZOPrsZfDIrejn/0bl/OOZWBAmQ3nsRFObYer8/n/rWwVTa29LTSM9f8GeiIFqQAwRpRTbtm1j4sSJcfnjrpRi+/btIr9PiPyREcMgkbGs/oZBqB/qvol0rc2ABY7TswzPUmbbSTKDh9Ymr+CgE8ySw2A6u8oVB2jYZdb8H3lW72V9lmWW6mltvA4LjjAzYjCligNypWXC/MN7PtdYC/dfD9MWmlh7YHVA6Seml0IkytaY1QZJGTCQYWA7PQ2h2luMXoHwwdiJsOFDI/e0+d6SJRtrIT9EH4nVb5ilkZO7ypwqN7JrPzkVzvoePP4Hslvb4LRvmPvVl4KpsHtH6IE8OXVkQgjBnogRMAwEQRhZ4s9cEkaeEI2FbNtmcvCstPht4zGI1LSnrQXeedyUW84J4+7cU2sGqLRMM4ClZUJbU+h9lYIX/wkHnWQ+s+JmY3gMAtuCyclqYG9BX2q2wbjJPQOsZcHBJ5oS0sPpctbRBjWVPUWPBkNqOtZ5/4+s2m3YK+8PLUf+5FHPWiclzRiPI2QU2LbN5HDhkzhA5PcXkd/DOUbsyEL80dFmugKGQClF+Y6dKKWMQbDyfjjlmwOvQlCuWUc/bb6pjRCOXZW9OzKmZUJLGMPgoxeMJ+HA4836/P2Ogodvgq3rIusXEEtDebuNGsx4Xl3Rq6YDYHRyks1Ki6FSucn0gRji8keVnMbWo7+KrlhnEhL7Ggf5XSsTvGS2R4vkVJMvMUIJjUopysvLzbMYh4j8/iLyR0YMg0Sho83E5oczALS3mdoF7aGPkZKUZFICXviH6cQ4foBMaa1h1ctmkJ972MD77d4O4yb2vBfOY7CzzCQ7Hv+Vnpn7wiONgfLyv2Dzp55n7ymDXUxQE6KqY8BrsP6DoXsNtm3oCSEMkeTMLPQXuxIS+xoH2ePM8s89HrpdxhEpKSNbHXOkEfn9ReQfmGEZBnfddRcrVqygocFDzWph+AQG/84QS1WikWGekmpaDScnm/ME4v0Y99WE/HHYuyvNDD9SCKG5wQzkB580cKKa22m8DmvfNjkCO7eYLHonxAx6a4nJUdhV2fNefTVUbjSJiGXF4IZZuheEbcGEwYYS3E4T8gimrsrkGbQ2De26u53G0xHoKDkEbNtmQsF47PRM+Oyl8OHz0BqUuFhfba5ZHLRT9opt20yYMCGuXcEiv3+I/JEZVvLh888/z0MPPYRlWcycOZMTTjiBk046ieOPP57s7NEptrFXETz493XThltxMBgCyWhbSyArz8w2u1BKUb5tO9Mat2JPnBm5kJHW5liReggkJcPi48zgWldt8gWmLwzd7viQU2D8NFOWOHucydxvaTRlmI+7wBgjSZEtaaWhvM1hWorr3Tg48ix47HbIn2pqMHz8kpnt738MzDnEW5vpvpStNsmNWXmD/2wX5r5UmqWk7zwBh5xsEjfBFGJ69HbTMXMUl7ONNEopysrK4nbJWcAVLPL7g8gfmWEZBg888AD19fW8//77vPjii7z44ovceeedWJZFbm5ut6HwxS9+UQyFaDDQ4B/NDPPit023wD5kpKdjlVWaJLxok5YJEzIHrv4Hpg7ClH1N46LsfLO/1fXlKP3E8+kynEG6/jNzTAjjuXvATjIGwVHnmBURQ80xWPsOHHjC0D4bREZGOmzfBKWfwjd/2/OHV/5jlkEecOywzxFrZGRkRN4phhH5/UXkH5hhmxs5OTmccMIJ/Pa3v+WDDz5AKcVzzz3Ht771LR588EEuuugi8vLy+NKXvkRj48hXtEtoAkldHmbFQ0YrM2At6G0Y2LZNwdhcrN2VoZfcjSZOEsw91JQntgb/CNsWFCQNMpQAZuXA6d+G866C/ZcNr4lS9VYTGhpCrfdgbNumIC8P+4V/mqWbAc/FuvdNzsXJ34hcc2AwuSkdbT0V+XzCtu24LWcLIr/fiPwezjESBz3hhBO44YYb+PDDD7nzzjt5/vnn2bVrF4WFhbzyyisjccqo8/rrr/P000/z4IMP+i3K6FKx3qzJ7+PKd12XTVu3oQPL9kYCt9Oc30u8vqXRJC0GvxprTSgi+BWioZOrYVObgzuUfMFxk6LTVXHtO6Y2wzBj/65SVL2yAp2SDvO6kjzrquD5v8Pnvhs5xDHY3JQYqJboui6bNm3CdT0UlYpBRH5/EfkjM+wCRw0NDWHDBAceeCAPPPAAF110EccffzwvvvgiF110ES+++GJMd7d6+OGHaWxsZMeOHfztb3/j97//PbfeeiuHH344ViwkcQ2mQqIXq7Kjje5KP6vfNLPxjt4JjpZS5DraDL6pGSYnIBz1u6C10Qz0uyvD79fZbgYZMLPQjR8ZN31jrekbELjWNdvgiT/2/tyOsv75C05y/4JFHW0wcXZPoSLAam8mNykDy+0cuMCRZcFWD2WP63dB7c7I+zlJMCbH5EZs22DCCKGuY2eHmcVHwnWxOjvJX/0S+ktXY2lt7tujt8ORZ8P4qeb6dnaEzwmx7a4E0CTz2UjLJpNTe1dLjMQIfF8CocqY+C4OAZE/ApHqbgyzLodc/8gMyzC46qqr+N3vfodlWZxwwgl8+9vf5qyzzgq7/wknnMAHH3zADTfcwPXXXz+cU48YN910E/Pnz+ecc84BjI6HH344559/Pj/96U/52te+NmQXTl1dHUD3+tP09HSSk80PsW3bqK4fWtu2cV0Xy7K6t23bxrIss21ZPdvB7/fZBlDB20rhOA5a697bGrOtXCh5D+vCn6EtG6U0jmOjlEJbDuMchc6bgErLNPIqDeiubdWjR/ZYSEnHdpJQeWYZom1ZuFpjBW3b46dhzTkY9f6zWGvewDr1ItzZB2H/+5dY46fgLlpqdLr+y7iWg637WMjKRVkOjnbRgMopwJk002xj4aDRrc1QugorMwedkooCnDFjyZt/sBnXbMtcdw12YLtLRrXpU7BMB8Ze7wdtu1pjtTRi5xbgauOCsyxCb6em4xZMx373SawFR+BOntPdr0Fp3bO9px4nNb3r3mgc2w69nWpjvfYQevGx2FPnmnvwyn+x8yejlpxqZLdtVFsLqKD75HZil7yDmjofssdhp6ea95UyOg307CWlYCWlmPsHAz97Xccb8Nkbwlps27bJzc0d9OdiBdu2GTduXOQdY5QRkz8ju6to2S2R9x1GN0m5/h7OMdwDbNq0ifvvvx+tNeeccw6O4zBnzhzOO+88lixZQmlpaa/9c3NzmTlz5nBPO2Js27aNU081S/FaWkx9/nfeeYeDDjqIX/7yl9x8881DLiwxffp0cnJyyMvLIy8vj+uvv56Kigqqqkx9//LycmpqagAoKyujttYsjystLaW+3swgN2zY0J2rUbJuHc3NpkdBcXExrW0m7lu0ejUdHR0opShavRqlFB0dHRStXg1A654Gij9ZBR1tNDc3U7JhIwDNGz6lNTkN8vahvqGB0rIyAGrr6indsoXt61fTmpVPeeUOAKp27aJip5F9e/UutlebCoQVzS67Wk2PhfI97dR0bZc1tlPbZgb30oY2Ghoa4aEbaf34FfZ84WqYfzglmzbTcuI3YOX9bPjo3R6dphxKh5OCxqIuYxwKmw4nhaIphxqdktIpzjX1AJpJosTKBaAxLYfq8XNg2zrqdTKlVg6uhqJt1ZTWmGtas6eF8lqz5LaqoZmKWrPcb3unw/ZWYwRUtGiq2sx2ebOmpt1slzVrajFJn6XtDvXKDIQb2pJo7NouaU2iWZvttRs2QdHrcMAyijZupqPTRWlN0cbNKK3p6HQpKjfXt7W9g+LSLUan1jZKykz/iMbmFjaUb4Mdm1HrP+T99Bm4rktDyce4a96C0y+hZvduysvLjU41NVRs3w5A9dpVdN5zDXz8Evqea2h84wnQmvKKCmp2m+etbMuWnmdv8+aeZ2/jRhprd0NzAyXFawb37BUVGZ1aWykuLjY6NTdTUlLCYHFdlw0bNsS1K1jkD0HueLjsdrj4xsivy24f8kobuf6RsbQeej3Xq666it/+ticLur6+nvvvv58XX3wRgCVLlnDllVd279vQ0MAf//jHfp+LFZqampg/fz5//OMfOeOMMwDo6OjontWfd955PP/881x33XVcfvnlnl05DQ0N5OTksGXLFnJzc8N7DIJm3VHxGHTNLPt5DPbUoTpdnOQkdEY2qq0Fx0lCP/93dGYu9pGf75rN9XgMlNZ0Pvd3UjKz4LDTB/YYlLwLrS3Y7z6BOv5C835fj0FVOfZHL2AddCLuEWdhJyUZ2TvasZOSsT56Ab3mTbjgp1g3XNDLY6CwsTHn6+UxyJ/a32OAmY07mz5Gj52IGjsRO3UMdYWLyUpLIcmxB/YYjMmO7DHYvtmzx0ChsTZ8iPW5y3GDZ9R9PQZZuQN7DFwX58HfoY48m7pJC8jLyYZ7rkEffib2oqN734+2FtAa+90n0R88hz7ufOz9jkbVVGA9dSdWWibqlG9B1lhs28JtbcZKScNOTe//XLU0YtGlU1ZuZI9BV/+GgTwGTU1N5OTkUF9fP+DqpcD3qK6uDq01OTk5cekO1lpTX18fWf7KTfCX/zED4TCTVKOJZ/n9Jsz1ixv5wxBO/sD3I9L3yAvDCiX89re/5fe//z15eXl861vfIicnh4svvpiLL764374zZ87kqquuQmvN//7v/w7ntCOC1prMzEzOOussnnvuOQ466CAmTZpEcnIynZ2dJCUlcf/997Ns2TJ+/vOfc/zxx7NgwYJBnSM3N3fAGxYconCCGuL02+4amAbcJ7Ad4phWajqOZeLElmV1HVNhrXsP6ys/M/tYFo5jdctlA0mNNVA4rztvwbYtAkH6YNntoOZNwa2NHcsyMe/it3C2lsChp8GRZ9Et7dp3cJ75K5x2MRx0Itb69+H9p81ng8IIDj0em8D7VtD7Zlv3bFsWTJmHVboKZ0wepI0hL7NnyadtWaZBkp3aS16jXn89+unUvU3EbfuTV+GIz5n3g+9N8HG63rcsq/v9fttr3zLhmoVHMtayTGGj1Ays/Y4y5wm+H7sq4ck/Q1Ye1jevxxpj6ibY46fCV6+D957C/se1sPQ8mH+4OU9nO6Sm93+uUtOhvRUnLb372gz4HPbZp/t567M9GCzLIifHQ4vqGCUQI45XRH5/GQ35hx1KuPLKKzn++ONZtWrVgPtdfPHF7N69mz/96U/MmDFjuKeNOgHL6+STT+bPf/4z//jHP7pdpUlJSXR0mIp6r776KtOnT+fSSy/1TdZhE6qW/eo3TJOjUIWFANdV7GlswO2MXFmw+xxtLabyXjAl70DtDjj2fCiY1vN+42549m5Y9iV48xEzoJzxHdNrIRqkZRj96qtxNZTs2I0baJagXHjkVlPFcCQp/cQsB502b/jHWvc+HHQirlKUrFuHXvUyHPPF0Ml+j95qumB+4X9MN8tgbBsOPxMu+Cm8+l+zisOywhfKCsR2R6gPghdc16WkpCSuXcEiv3+I/JGJynLFGTNmsHjx4mgcyndOO+00br75Zq699lpuu+02mppM1nhycnK3cbBy5Ura2tq6Y6Vxz55aePk+OOVbYXexbQvr4BOx333aWzZ6arppdPTOE9BmDCwadplqf0tO7b+MrnIjTJ1nCisFuiVmjYWjvzBEpULgdkJSKjYwKXdMTx2DrSVmpcWHL3pbDTAUtqyBHaXw+SuGVHuhH+OnQu0ObNtm0qRJRn4dIvelswPqa0zdhYHcpvmTTQVG2x7RBkjRIKBzPK9DF/n9Q+T3cI4RO3IcEki3uPzyy/mf//kffvzjH3P77bd3ryZITk6mra2NrKwsjjjiCIaRnhE7aA3P3GVK6RZMDbubZVlk7nsgVnIybPrY27EnzYbC/Yxx4HbCqpdgwRG9ejB0s32TiQOmZRo3dsAzceDxQ1AqDO2tkJqGZUF2WkpPfG7dB6Yt9H5HwluPDa+Ncii2rIGqcjjkVMjIis4xJ86C7ZuwLIvsrCysjCyzDDJAoHDRzjJT/TCaPyKd7cNv2DUMLMsiOzs7LuPDIPL7jcgfmb3eMOjs7OzeDr7Qv/rVr7juuuu45ppr+NWvfsXmzabsbWqqmUkFVhfEPUWvGffxZz474G6u67Jm8xbcwz87uMFz3yVmBvrqfwDL9EEIReUmM9hZlimwFGhYFI3ZdYD2VkhJx9WwpnIXrlKmZkLtDuOtWHCE2WfjR9E7Z8AoOODY4fWx6MvEmVBZitvZyZriYlTaGFMLIkB7q7lH20v7d4UcLj4XOXJdlzVr1sS1K1jk9w+RPzLDLnAUb7zwwgvs3LmT3bt3c8UVV5CUFPoSJCcn8+Mf/5iCggJ+9KMf0drayiGHHMLy5ct57LHH+PrXv25cuH7T0dZTcGaw7t/G3aaF8peuidgUybZtCidOwM7MhHceN16D2QdFPodlmUI+H78I+x4a2p2tlek3MLFrGeuYscYwyC0YnD4DoVzzcpKwgcJxZrUBGz6AWQf2FEs68ix49h7j7RguI2UUQJfb38Les5vC6dOxqopMNcgAgb4ajbtNmCCapKSZ5y7aOnnEtm0KCwvj2hUs8vuHyB+ZvcYw0FrzyCOPoLWmpaWFZ555hl/84hf84Q9/4MQTTyQ/Pz/k5y666CL23XdfVq1axd133011dTVnnnkmU6eGd7uPKgN1XHQ7w8eVtYYn/mQ6FmaPhfaWAU9jAZmWC267WU3w5iMwbX7o4wdkCmb/pV1/CzqPco1bevd20xEwKdn8f0yO6bQ4YQhJqnVhKhC2t5nBv74Ky3aMLm3tsOEjOOGrPbPfjCyYfxi8sQIm7+vNXd7R1rsVttYmb6FmGyw62rjxO9vN+YM8VGGpr+k9+w/HuMlYW9eRufBISB9jdA9cdycZ0pONYTJ3ScT7C5i2k1pH9gY5yb4ZBdAV1srM9O38w0Xk9xeRPzJ7jWFw6623Mnv27O76BBdddBHLly/nsssu49vf/jaXXHIJ06dP7/UZrTWWZbF06VKWLl3K5ZdfPqTlVVEneDAO7rjYd5AeyKIMhBCO/HzXoDmwXq7rUrytigXz5uHMPRTefxYqNsC+B/ffefaB3rwXyjUNoaq2wuTZPc2hssf1bqF84c+NfBXr4f1n4MxLTbKk2wmHn9GzkuKdJyAlTG+A+hpjfOTug5uZQ3EjLNANOAXTzMAZzISZ8J/fQEerCTFEYsJMmD7fbDfVmz4Frgtf+WnvnALlGm9IAK1h7dvG8xI80NZXR7wfABRMR1WsY42Vx8L0MdjbS/vf85oKs1ohUqljMM+PbXvLR/AxPuu6LkVFRSxYsCA2vo+DxHVdiouLRX6fEPkjE5++lCGwcePGbqOgtdXMDv/+979z0UUX8Y9//INf//rXlHVV+gtgWRZtbT0zxph8iFLSTEx+MDO4xlp48V747KURQwgBbNtm9rQpxn1lWXDU2WZWHY1EvcqNJr8gQNbYnhyDYKbsC3kTYM0bcOKFxgB5/h/w3jOR491B7aptYHbhVOzVr5ls/b7YNpzyTSh5t7d7PhKln8J9vzGehnN+MHCiodaw8n54/A5j7AyFgmlYFeuZPXs2VkZ2f1k7O6Bht1mmmUDYts3s2bPj2hUs8vuHyO/hHCN25Bjjvffe46677gIgLS2tO+nwhhtuYPny5dx777387ne/o7q6Z939+++/z5VXXsnGjRt9kTkqdLRBU1CbXK3hqTtNOCC4jkAELMsiPTW1J0GzcD/TZXBDFBL1tm/qHdMfM9bExkNx6Gmw9j0z4M05CD7/XTMTf/R24xUIZ6i0t3YvkbQsSG9pwKreaoyLUIybCDMPMLkRkYwftxNe+Q+89iCc+R049NSBZ90Bo2Dzp7D8V/DBsz1LOgfD2AlYuypJdyxjGPQNP+zaZvSI0x/AcFiWRXp6elxnlYv8/iHyRyaxfjFCEFhSeOqpp/Lss89212ZPSkrqNg5+/etf89WvfpU777yTDz/sKXKTl5fHvffe28trEHe0t5nkvvYuHQIhhK7qe15xXZdV6zb2ZMJGy2vgdkJ1BewTFMbJyjNejVBkZMHiY03YQGsz2B9+Bhx/gelwWPpJ6I6F7S3dHgNXw45XHkUtOLJ/h8ZgZh1grtuWAepV1FfDK/eZzoTn/xgmFA6sb7BR8KVrTB7F7IPgg+cG/lwonCT0PoVseO053LTM3h6DjjbYus7UO0gwXNdl1apVcZ1VLvL7h8gfmYQ3DAJW1fnnn8+LL77YyysQbBzceeednHfeeXzjG9/o/uzs2bPZsmULCxeGWWIXD6SkmiV/KV0x/+K34eATPYcQAti2zYKZfTJhC/czYYwHf99TlGiwdLSZ2gX3/RpWvWyO8/6zJpkuFNr0Z6CmsndC3bhJMH2ByTco/cQYHMGfaW3qrp9gAwWN27DmHjKwbJZtkiYHqtuw/n0j64lf9RbOaW81RsBnPt+jY+EiKB9isawZi5jZuhM7Kw9amnoMqq3rjPE0c39vx1n9hgnfDLFj3Whi2zYLFiyIa1ewyO8fIr+Hc4zYkWOMuXPnsmLFCv79739zzTXXdHc0DC53fN9993HggQfy9ttvd39uuM0ofCc5FTKDStguOdUMvEOY5Tt9H0TLgi/8yNQm+MdP4ZOVgz9uWiZcepvxPpSthjt/aDwGn7+i/77trbDyAdj4scmP6FsoybJg7ETIGmdWBARobTKGUNDAbWnlLSEvJT10RcEAi4833oLXH/ZeEfLL18Bz9xh9tYb3njKrQ4bCklOw175ljIKDToQ3VxjD45Fb4YQLzVLJgXA74YV/wtuPw1d+YmpOxAExme8zCJw9u00IrXKAV02F32KGJe6vv8g/IHvNqgSA4447jjvuuINLL70UrTU///nPmTJlSndFw9TUVA4++OD4Dh1EYub+8FoKrP+gfzb+ACilKNpYyqIF83s/lLYNh51uYvVP/QXWvQtHn2OSBL1i2yaeP/MAM1CGip3t2m5c8JP3NccfKARQMM3M8vMnm/0adpmVDgFdgLa2dlIVDPvrlZxqah988KwxDo4+J3LG/uQ5xqB66P/ggKVGZy81IUKg0sZQM3kR4998BGvpF+G2S43e3/hN2L4X3TQ3wCO3Gc/FV3/Rv0x1gOHUyhgBlFIUFRWxaNGiuPyBV7U74Y4rsFwPfUcCvSliiLi//iJ/RPYqwwDgW9/6Frm5uVx44YXs3r2bn/zkJxx44IHdFQ2zsrKYOXOmz1KOIJYFx5wLL/0L9j3E87Iz27ZZNHtmePfVuElmed77z8ADN8JRZ5lKgoNNkOm7v9bGXf/pStPsZ7qHjpap6T1eg32mG8MgqO2qDaSnpkTPX5acCmd9z8zSB2sc/Pc38LnvDnn5n23b5J/xdaw7f2i8Lt+83pRAdiJ4Q3ZsNkbBAcvgM2cOXGFyoFoZPmDbNosWLYpfV3DrHiy3A33W97Ai5YBkZENubK0qifvrL/JHZK8zDAC+8IUvMGHCBM4991x+97vfMXfuXK699loeeeQRzj//fCZPjnKluFhjiF4DV6mBx9KA92DiTFNnYP2HcMJXzPLDodDWDE//Faq2mFbMWYMoQR3wGuSONwNan1mXJtAwOkqkpg/NOPjun4ZdLMhNzcQ+8Hh46xE4+RuRP1BdAQ/eCKd+q2dVRke7KcJkO/0H/+BaGTGC67px+8PezfgpvQzWeCLer7/IPzB7pWEAcNRRR/Hmm2/y1ltv8dhjj/HHP/6Rk046aWSNAi9V5bzMHPtWFQyH64Zfqnb0F+Hlf8Ocg82PfgSXlHIVxRs2smjefBwnwgOZmQdn/9AkE/7nN3D4Z03XxL667SgFa3PoY9TthLefMEbG/kvNksumCNUAW5vNABcgPQs2FxlXedBSPpWUSltrK6kNtTjJAwx2DbuNcaJcqK8a+Nxbuv495BRTFbJhF+x3dG+dk5JhYojPtvdZqtjWbHIvIuG2oxrrzH3Z7xicf/7U5DyMye29X0dbT02F5kZ4+CaTLBm8VLOzvccrECgs1S13Ss97gefXx6VeSimKi4vj2BWscYL+jTfi//qL/JHYaw0DMO2iZ8yYwQUXXOC3KCODkxTeMJhzELz+kEnkK1wY8YfeARbvtzB8ZcFg8grMQLLsPNjvKHjqzybR7uwf9J51bi3pvzpCaygrgrXvwOLjTH2D3ZXhVykEM3GmOXeAqfvCygdh4RE9fRgAx7LIKC+G1LSBZ8F5BaZIkJMM+xSG329nWc92IOfgzUdg9eu9jYPODm+rQSbO7JUTEZamehzbYfH8ueb/+x9jQjnHnd97v5S0rq6VHfDY7ea6Lj6u9z62E76CZozhOE5ct3kPJPH2S+aNE+L++ov8EYnPJ1PoT6DNrtdWuJZlBu6V93vKptda09LWNvhW0/mT4cJfGCOl+K2B91UufPicaT609LzhNzLKyO5qJ927kJPWGqXVyLXNDhgHuyqNcTDcOg/vPQM3fcss6dzwUa9VEr3uy8EnG4Mq1NJRrU1y6JixsPTc/n9PSTMrEmIghyASgX4n8dr2XKN7/RtvxP31F/kjIoZBohBoszuYVrgzDzAzew9thpVSbCzbivIaxgjGtuHgk0wCYdgTuGa263aa5MhoLZsbP6XfCgYFtHV0okbydyEaxsHGj+HO/zF1Gb7yM5Mo+MYK+OP34b2noa0FpXTXfdEmXLDkVFMmuu/53nnCeDY+f/nAHoHBGpg+oJRi48aNQ3sWYwDV9eCpEX0AR474v/4ifyTEMEgUAi7gwSSIBbwGbzzSfyDpY2A4jsOiubOHHtMqXGSqBO7e0f9vAaMAzMA2yOJLg8WxLNJTUnDsEXaZD9U4qN1hcjNevBdO+Tp86SrIGWdWeXz9VybJcXsp3HM1zqv3sahgTE/exyEnmxyF1a/3HK/0E5Ov8aWrI3sEglcgxCiO48RtfBgSI5QQ19df5I9IfD6ZiUY0ZmnJqUNzBc88wAzYwXX23U74y5WmYFEXWmuahuO+sm0Tbw/lNWjYZVYeHHzyiBsFuJ3okvdQTfXoNA95C6nppsLi+g+GNutPToV5h5kkSK/398k7Ycb+cPHvu2o7KLjzR8ZQ0Npksn/ucvjadeiMbNR916MDZZtt2+QPrHvf/L+9DZ77O5z3v6a9diRS0swxYmgFQl+01jQ1NcWvKzgBQglxff1F/oiIYRAL+DlL21kGY/J6u+43fmwy+l97oDterZSibNv24bmvFh3TNXPuc4zcApPc5yGkMSyqK+D1FejWZtYfuRzlJfM/JR1OWm6SJ99cMfh7VLMNPnoBjvi8t8G2s8M0kDo0yHNSsd5Uedxa0mMcAGRkow49g7Il55j8gfJi87ePX4QDjzf7fPKyqf0weY43eYdqYI4iSinKysri2BUc/6GE+L7+In8kxDCIBUZrlhbKM7H+g/4dBle9DEd+znQyfPZu0BrHcVg4e+bw3Ff5k00tgrI1/f+2/zLj8g7Vbnm4tDXDqldgzVuw31HYi5cxb+6+3l25mTlw/IWQmWtKGX/0ojGedm6Blj3hPQk120y540NPN7p7oXanMZSCPSfFbxtvywXX9jMOHMdm5qHHYH3+u8Y4eKOrNPPMrgZQHzxvCkMlEI7jsHDhwvh1BSdAKCGur7/IH5H4fDITjdGapYXyTKz/AGYv7vl/XRVUlZv6BktONbUBPn0NrTUNe6Lgvlq0FIpChBPSMo3LfdXLJucgGrQ2webV8PojZoXC0WdD/iSjS/MgwyKOY2bhn/mc6T1RtxPWvAnP/x1ee8h0WHz/GVj7thm8K9YN3igAk48wNqjYgVZQ8i4s+IzxGvQxDrrvy8SZpoLixy8b74Rl9XgLxg6iPHUcoLWmoaEhfl3BCRBKiOvrL/JHZK+uYxD3DLaGfd8KdnvqzAx1UpCb+ZNXYdHRPZn8p18M9/0aVbiQyqpa5uSMxXGGkbS34DOw8r9mFt+XGftD9VZ4+i8wbjIUTIXx07zH9rU2+lRvhaqtxjAYPxUOP82ES7pQQGVNLXOmTMAZ7Jr9/Mn9B/rKjabWwZ5a091w5xZoaRi8UQCwe3tvw6BivTEaA30PAsbBv38FHW2oY86lsqqaOYXTcCbNgm/fbDppBrwF5/2/wZ0/DlBKsXPnTubMmROXs75EKHBUWVkZx9df5I+EGAbxSCC2FLxEMVRtfOXS6xY7yZCe3HOM9e/DrMUm8dDCVEr85FU45/s9Lv3UdDjgWJyn7mTeaReD7oROBqajPXxhpZRU0665+C3A6r/fgccbg2fXdtNdbtMnRr/xk00/hrGTIC2oq2J7G+zaZvIHqreaJXvjp5pKizn5PUvzgnqXO53tzBuvoXb7wHo0N3pLhlQKxowxRZj61r4Pbg2Njly9sarc9LAIGEPFb8P8w3sbRynpcP6P4d5f4Lz2APOO+aI5tnIhKcn8u+olmDbflIR2O71Vy9Q6/H3ru59XRqBYkuM4zJs3L+rHHS0SIZQQ19df5I+IGAajiWVF54cy8IMS7AEI9yMT7nwdbaaXwaKjTaley4Kyj8wMd1yfWe4hJ6NLP6Gl6C3SjzkbK5IOtgPJKeH/fuDxpuriWd/3NhCVrzUu9m0bzPr9tAzYZ4bxDtTtMIWQ5hwMy74M0yN/YfTWddR3aHLSUwbWZfxUUwchEuMmm/BCJJoaIu9XX21WHThJJoyw9h2zRLFvN8mMbLjwZ+j7fk3bqw+Seto3sQLXsr3V5EF89efG2zBQ2+hgovV8jjBaa+rq6sjJyYn8LMYgGo0V9G+8obWmvr4+fq+/yB+R+DRZBcNwchOaG02FwVmLe94ret0YCn2xbdQJXyXlg6dRdTVDFrebGYugrtrkM3ghMwf2XQLHng8X/ASOuwDGTYRDToILfgonfNU0gwr0A4iA0lC9p3lkCxwNhc4OE97Jzjf/37rOhEDCtbBOzUB96Wp0eQn6xX/2zOQ/fN5c43GTvJ03DooaBaOUorq6Oo6zyuN/VUJ8X3+RPxJiGCQKA/24h/rb9k2mJn9ql1u+vsa442ceEPLwTv4kkpachPPcXcMr8QvGo7DoGJOoN1gsy8TgFxxhPAV9Z9IecGyLOQV5I1/gaLB0r0jo+loWv2VyMgbAycgi/Zu/xK5YbxIS21vhnSdNoSOvA/1Qqmb6iOM4cRsfhsQIJcT19Rf5IxKfT6bQn4F+3EP9rfQTE8sOsPoNM9iGGWiV1uyacSi6tQk+fXXw8rU19zYoDlgGa9/13ikyiiit2bWnBRVrWcm7Ko0nBIz7v/ht0wBqAJRS7GpqRX35GrNa4e/XGm9BboHJv/DCUKpm+ohSil27dsXvjK/ruYu5588jcX/9Rf6IiGGQKAz04x7qb3vqercort1pEgPDoLWmrrkFddol8Or9oWsRhP1wn8p9YHIZxk4wtf9H+QdSa6hraRvt00Zmx2azCgOgrcUYchkD5ySYeHs9OiXdrFbInwJHfBYse8D72Ys4KGoUTCDHIJ6XmwX/G28kwvUX+QdGDINEYaAf91B/O/Vb8MGzUPqp+f+y8+DT10yiXwgc22bW5Ak4BVPhCz8y7Xu9GgfhKvedepFZ6vf6w6NqHDi2xazxubEVStDKFE0K1JRIyzRhhPeeHvBjjuMwa+YM41ZMzYCzvw8F002S42AG+kC4KQ7CCY7jMGvWrPh1BSdAKCGur7/IH5H4fDKF4ZM1Fs75ITx6GzTUwJhcOO0ieO5vJt+gD0prqmrrjftq8pzBGQfhKvelppuGQKNsHCitqWpsji1X7vZSkzyZM77nvaPPgXefDl3zoQulFFXVNcN3Kw4lz8CnpEWlFFVVVfHrCk6AUEJcX3+RPyJiGCQqHW3Q0jjwj/bUebD0XNO0p6PdLJM77Ax48s+9wwwAWtPcGnSsYONgV2X4c0So3OeLcaChub2DmCo8t/5Ds+QymLwJsO/BEb0Gzc1Nwz//UPIMfOzx0dwc3lgSRp64uv41FVC5qee1vZTOreuMMR54r67abykHxUhff6ljkKgEzwAHcikffJJZtvjivXDKN2D/Y0ynw8D/u9bJ2rZN4cSC3nUHJs+Bz5xp6vN/7ruhjx+o3Dcm1/w/uHJfWwsc84Ue4+CRW41xcPQ5I7qe3rYtCsflRN5xtAiEEb74o/5/O/ocuPsa07ciNaPfn23bpnD69OHLkJxqXoNxb/etpDlK2LZNYWHhqJ4zmtiB71QcrqGHOLr+GV3htBW39HrbBvot5E1OhctuNwXBYpzRuP5iGIwmWg88I3Y7vQ2IWoEd4dYF/2hHmoUf/ll48k/w4Qtw0AlwzLnw6K2mB8BRZ4NlGff79u0UTNS9f9DmHAxvP246+wVq8mvd4xIPVO5rb4OkrqJHgcp9//x5zzmSU41x8djtvc4LQJvHGWlnB+zpP3j2RbXsoarTpmBM+sA/zh3t3tzkHW3QGakcZNd+oY63vdRUTczINn93FWR07TcmzzS5evsJOPLzfRRxUXYSVdXVFIwfjx1uUB8pL0zAmBhllFLs2LGDgoKC8DrHMEpr7KB/442AKzvmr3/ueDPYB7eUx1z33bt3M3bsWPP9r6kwxkNzQ1wYBqNx/cUwiEcsO/LMLjXd+0wufxJ89jL47/VQuNAsd/vKT82s/v1n4IQLQWvaq2r6nzs13Xgd3n8WTv1mz/vBlfvO+3+mWmHwUsiMbPjC/xgDJHAOyzLV+oLPGxi4vXwBmhp6jI+B2KeQ9sZWmDhh4ON6nQ2nZxljJ0DtTtj0MeRPNWWJA+dIzYDkEKWr333KLEvMGmv+39kBwTXxjvg8/POnMP8wyB4HSV2Dse2Ak0S7q8y1HUiXaM5OY2Cm297eHnknYcSIm+ufO77/YK8UzW4KYydOGZyHLIYY6esfn1clkeloMwNc2EJFYf42HJJSYJ/pcPYP4NHbTUXCPvkAtmUxbZ8ws9JFx5iQwe4dvd8PVO6bPKdnZhmcsJaVC5//Xp+cgxB5CFHGti2mTZ4UXWu7die8/RjcczX86xemWNTK/8Ltl5rW1WVrQtds0ArWvW86S4Yjbx845BR45DZo2N1HF5tpU6fG9swtyti2zbRp0+JW50QIJcT19Rf5I59jxI4sDI32NjNYhCpOM9DfosHUuXDMF+GB35uBO2iQ1i/8k21VYbLfk1Pg4BPNzDeYUJX7ghPWklJg7D4hEhJH1jhQSrNtx87hZ/XWVcE7T8C9PzfGwJ46OGk5XP4Hsxz0a780fQ7GTjBGwl9+aFZ9bCnuMRK2bTQ5GLkFA5/ryLNM2OaRW005625dFNsqK+M2w3ooKKXYtm1b3OqcCKsS4vr6i/wRkVBCrBFomRuqOM1AfxuIwbRnPvhEUy75yT/D56/olSyYXV8LJ14Q+nOLjoEPf2K8BmMn9FTu+/qv+ugQImEtOCHxxXtNCCFUkuJIzrD21EJrn0zfjrb+16uzA8qKTNXG5gaYe6jp3VC4nwmz9CU737RfPvR040XY9DG89qAxKvY9xHhP5h3qTcZjvmj+/c+v4cs/howxg9dTEAQhAmIYxBoDJXQNNdkreJbu5fOnfBPu+5UJK5xxCaRmYF1wLVn3XgfP/90M3H27J9o2jMkxbYPHTghfuS9YB7ez9/vTF8JHL5hM/LTMHuPgnz83Kx+Ois5qBdu2mDxhH/Of3dvhzcdg86cm7BGMVv0He8syyzxP/CpMnm3+3tkR2ijoS/Y4OPRU82rYZUIIdVWmRbRX5i4xham2rIH5h2HbNpPHjzNLU70YfgmAbdtMnjw58o4xSiKEEuL6+ov8ERHDIAybNm1i1qxZ0T2oX93rBrusLCkZzr/WxMb/di2ceyUqO5+KIy9g6tqXsR74HZzxbcjp6gKoNbzyHzM7nrvEvBdcue/oLwx8vqpyePwOk3z37ZvNZwOkZvSsVoiScaCUZsfaT5i48S2sLWtgyalw8vL+12ckl+Jlj4Mlp5iXF7Q2RtMbD8PplxhPBRqlFBVbypgyPh8bj4ZfnKOUory8nClTpsRlnDgRViVUVFTE7/UX+SMSf1dlFFixYgUffvhh9A886KpyUUo0HEot/KRkOPnrprXx36+FstWkpKahT/iKqXXwwO96yid//BJUbzXx9eBBO1LlPuWaugX//qUprHTu/0JWXv/9AnUOtm00A+NwYrO1O7Feupd9nr8TPX4qXHwjHHZ6bDYQ0tqEZla9DA/cAJ+uNHkLc3uHHlLSMswKhVjUYYRISfGw+kQYMeL9+ov8AyMegxCsWLGCo48+GjANK6xoufwGVVUuKNFwNGaBHW09+QuB8yWnwkEnwvhp2CtuZsL+yyD/RJNPMG4yPP1XE1vfshrOu6p/eCG4cl9fr8HOLcYLkDUWvvW70AZBMMFFkIbiOajdaeQoX4t1wLE4p18SewOp1lC3EzavNkZQebFZhjhtAcw60OQi9Al32LbNhClTfRLYH2zbZsKECX6LMWQSIZQQ19df5I+IGAZBNDQ08NOf/pT//ve//OY3vwGInlEA1DW1QHJDdzZpeno6yV3r2m3bNu9bFrZt4yYlY7W3Y6em4routm1jWVbPNoR+P2gbbVzNAXeTUgrHcdBd73dvuy5OextauajWFpzkVPN+eytOZweqYBruhdfh/ud6UqrK4fivYE+ahTrv/2G9ej/WGd9GZWRD17mUUj3bR56N9bcfYx16Gm5SKpZysd9+HP3+03D8V7AWHYOrFHaXARZWV6WwU9JMQuSjt5kiSAuPQGnTFElrjWreg9O6x2wH3m9vRX/yKvbWEvSBx6OWfQnLstiyo5opkyaSnJTUfT+6ZQ/eDtYpxD6uUljKuIRdV2HbVpfswdsD3LPG3VC2Gr2lGGtrCThJ6Cn7Ys88AL30XFTWOBzdiW5vQzlJONB1/zSOY46xZcuW7kpoWmscx+kvb9dzNaCuAZ1cFyvwHEZ4xsI+e13PW8RnbwiZ1UopysrK4nbJWSKEEsrLy+P3+ov8EYm/qzJC/PKXv2TGjBncddddXHfddUybNq27reX69etZuzZ018HBML2wkJzcXPLGjiVv7Fiuv/56KrZto6qqCoDyrRXU7DLr1Mu27aC2w4XkVEo3l1Ffb6p3bdi4icaGBlCKkrVrad6zB5SieM0aWltaQCmKPv2UjrY2VHs7RUVFqM5OOtraKPrkE9hTR2tjPcVrzLr65j17KFm3HlJSaWxpZUOF6XtQX99A6aZS0Iramhq21O6h4ZSLaVUWHf+5HuqrqWrTbF1yNhRMZ3vNbrbX7Aatqdi+k6rKbdDRRnldE61T5sPbT1D50Zuov1wJFevYfNwl1O8zFzo72LB+PY11tdDRTsnaEpob6qGj3ei0pxE62inasJmO9g5UUgpF+30W6qvRz95D2+N/hmfuRj9zN+0v3AvP3I165m7an7jTbL/0b2qcMfDVX1A/5whKd+wCpcyAWl4BSlGzazflFdugqyFRReV2UIrtO6vYvn0HdHRQUbGNqp07oaOD8vKt1FTXQEcHZWVbqN1dA6qT0s2l1NfVgupkw6YNNDbWg+qkZP16mpsaQbkUr99Aa2sb7Kqk/j+/h3t/jq5Yz9bUfNSXf0zHN2/g08KjYdExtKZlU7xuPSSl0kwSJZu3AtC4Zw8bSjd13ad66uvrQWtqd++mrKwMtKampobyLVtAa6p27qSiogKA7du3s337dgAqKip6nr3ycmpqTPOssrIyamtrASgtLTXHBzZs2EBjo1kqWVJS0l2vvbi4mNZWEyYrKiqio6MDpZR59pSio6ODoqIiAFpbWykuLgZMvfeSkpIhfZcyMiJXuBRGjni//iL/wFg6XptSR5mioiLOPPNMzjzzTG688UZaW1v55JNP+Oijj3jttdd48803OfHEE7n22muZN2/eoI7d0NBATk4OW7ZsITc3d2CPAR5mbYDV2Y7b0oydlm7eD2ynpPXM2pRCdbRhd7ZDSprxBtgWGlDpWb1ncMnJ/WdzrS04bjsqKQWdnIpjWai2Fih6Dfu1B1Gf+y7MWNR/9tnWApbd837dTuw//wCdnoU+4ULs/Y7GVRpbdWAlp4aeXQdva4VrO5Fnoh3tOCmpIWelvbZtC4XdM7vetR02rcKeuwTVVX0wpB4h75PC0i52alrkGTXg7tqO/eYKrNJPUYedgbXkFHNv+uqUlORBD7vX+0qpuPQYNDU1kZOTQ319PdnZfVaxhPgeRdov5qncBH/5H5PfMinKCc7C4EmQ+xHN74eEEjDu3UWLFvHGG29w3333UVZWRn5+PlOnTuWII47gO9/5DitXruRLX/oSW7Zs4aGHHmKfffYZ9Hlyc3MHvGHBbqHgXtv9truWHjq21Z2c2L2dktazv2XhuB1mu6MNJz0D2luxgvaxLCv8dnoGkNHlJnfZVFpK4fg8nHmHQXY+9hN3mKTBw8/oJbtt293L92zbhrET4dLbsJKSsbpi5I5jgba6tiPorSNcj0h69Nl2OzuoKP6YqQ3lUPIOdlO9WSr5+kPYx30ZFh8fWo+Q98kGpSPfs12V8PrDOJuLTOOp0y8xoZHh6NQ1sJZt2ULh9Ok4qrN7JYUdlJdi9OhphhVKD8/P3jC3w+k0GFzXZdOmTRQWFo5oT/qRwlUKJ+jfeMN1XcrKyuL3+ov8ERHDALpnL1OmTGH58uXce++91NTUcPnll5OUlERSUhInnXQSL730EsuWLeOWW27h+uuv91fovksQwy2tC95vGE1vLMsiNycHKyUNOtthxn7wzd+aeP/7z8CBJ8Di48InEUaq7Dca1O6E4rexi99iyp46rAVHmJoNU/Y11QR3lMGr/4Xid+DM75jGRsOlyyBgc5FZ/XDGt6Oa9Nh9Xyxr8PUq4hTLssjNzY1q/s9oEpA7nuWP9+sv8g+MGAZdBC5yQUEBZ511Fvfeey8TJ07s/rtSigMPPJAbb7yRv/71rzQ2NpKVleWXuP0H+WgXReqDbduMGzfO/Cc1qGHQ2T8wRXo+XQl3/tA0DTrgWJh5wMhWKmyq79c1DdeFvhZ0ZyeUfmLKMzc3wPzDsU7+Os60+b2LEqWkmToMn/+uKTz01/+FpecaXYaiR802eGOFMQgOPwNOu8jcBye6X7le98WnNsijjW3b5Obm+i1GaOqq+z+XfbB3bTP/xunA1OuZi0NE/siIYdAHpRQzZ87kZz/7GWDcNo7TE99esGABTU1NcVtne6i4rkvppk3MnDGjx33V3mqW2OUWmN4AJ1xoBuBX/2u8CKddbAr5RJvytfDQ//WvVIimV1dCMIP69AVGtvFTITUd17Ip3VTaW5fkVMjNNzotOcUss3z0dih517seu3fA2rdNKejmBjj0NGMQBAbqEUjncV2X0tJSZs6cieNTG+TRxnVdNmzYYHSOJVdwXTXc8V1PtUeUk4xOy4zbUEL3MxdL198jIn9k9jrDIFJdguBY6xtvvEFlZSXHHXcceXl5OI7DYYcdxnHHHceYMXtXnXrbthmfn997eUzfGWpyqplhzzvcGAZ/uwaWfQn2XxY970H5Wnj4JvjCj4x3Ihi30/Q7CJQyzuzK5+hog/pdJgRi2djpmf11CcgfGFjzp8CFP4+sR+0OYwise6/bI2HCE3O8lUkeJrZtM358mK6XCUrM6tzcVZDs7O+b5ycMGk1jp0V23uDzlGKBmL3+HhH5I7PXGQaWZXkuWrRu3Touuugi1q9fT35+Pkoprr/+epYvXx6XluZwCMS1ehFuhmrbcPiZMPsgeOrPsPad6HgPAkbBOT/sbxQECNVoqr0NkpJMWCEzNbQuoQinh9thmiiVvGNCGnMPHVVjIBjPuiQQlmWRk5PjtxjhyZ8yYHa7BcSw9BGJ92dO5I/MXmMY/Otf/6KpqYlLLrnEs3HwzW9+E8dxWLVqFe+++y47d+7kC1/4AvPnhxmUEhjXddmwfj1zZs/2ZhR1tpkZ+5evgY9eNLPupecNPWY/kFEQqNqYlGR6K/Q1VgJGQqYxZNzODjZs2ORdl/zJcOEv4L2n4K9XGg/JvMNMDsLMA0yIoG/Vx8EwmO6XfQi41efMmbPXGKuu61JSUhK3Osf7PRP5/WU05N9rDINHH32UyspK8vLyOPfccyMaB4HcguXLl1NZWUlKSgppaWl7XQghgG3bTJo0ybv7qqPdZMjT2XvWXfKuibtn53s/+dYSUz75c5eH9hQEykd3tBvDoC99PBsD6hI8SAcT8B4ceDzYlvE+JKcYD4F2vesSimGsJhj0fUkA4l1nkd9fRP7I7BWGwUMPPURubi5VVVXccccdaK0577zzBjQOHMehs7OTpKQkJk2a5IPUo4jWERPjrI42sm1l4vRJEWbHSplBs6O9ayatIX+Sidm/9zT87cfGezDvcDPgDsTWEpMEeNrFUDC9d6vmAElJ5lyWHfrvfXVRiuzMzNB6BxIq21uNnk6fZyM13VyDbrRpBuUlGVUr0+yoL8G5GlqbYwWuS8BQCd43YDwohWXbZAdWx/TVpbO957jRXKkwmCTKEci8tywrrgscifz+Elb+morIH87Ihtzx0RdqEIzG9U94w6Cqqor169dz1113UVdXxznnnMMdd9wBMKBx8NZbb/HGG2+wfPlyCgpiYA1+MF4tRa/7efihd1uaKSndzLyZM3CyIwwyqelmQEgP8bejz4H5h8FjfzAJe6df0tO+uS/la81+n70MJnbFbBvrTJA2I6tngHS6Qghup6flgK7uoKSkhHlz5/Z3xQUP0kkpoa9he6sxQpTqWoKY3HsADBca0Dr0QNk3VyN4n4Ch0tIE6Zm9vQqWhasUJevWhdYl2BMxGksYhxESGQyu67JmzRrmzZsXt67gkpISkd8n+smfkW2e1xW3RP5wcipcdruvxsFoXP+EL4kcXIIVTE34b3zjG7S3t3PZZZdx3nnnde8XbBy8/PLLnHDCCWzYsIFZs4ZXJjPmS7l6eAR0eyvNDXVkZOeaIkeRjhdppqhceOsxeOcJOPbLpjhS8GeCcwomzzEDflNDzxrxjOyeVQcBPBoGWrk0t7aTkZExcJ6J1qENg74DYFfJ4W6a6nuuQWZO5OP1Jfh4A3kMtEZbFs3NzaF1CZZzNDwGTfU93o6A3h48Bl6/H4H96urqSEpKinz/RhuPpXW11uHvWRyQkPJ7qD9BTYUxHnwunRzu+ktJ5EEQXHZVKcW0adO45557+MY3vtHPcxDIKwA47rjj2L59+5BKHyciVkoameP28e4ajjR7tB34zGdh30Pg8TtMxn/Ae9A30TAQHkhJhY404zFIGeKMtKMNq72NzIBXYyhEqhcQzUJDEc5lWRaZmZlD+mzUGaUCSwPqHAeI/P4SUv7c8b6HCLwyGtc/PrMvhkigWUzAOEhJSeGOO+7g/vvv724+09bWU5xEjIIeXNelaPVqXNdjol2wG3sg8ifD8l/CjEVw91WmONLDN4VONAwUIcrJ7z3gdbQZb0Kv2H84udpwOzsHp8tgSU41M+Zwg3JHm5ldeyiEEwnXdSkqKho5XQZDJL2jREzpPAREfn8R+SOzVxkGENo4+OMf/8jjjz9Oc3MzN998c3f7WaEH27aZPXu290zYlDTjUvYyewx4D776C9hZDqdeBPvM8C5c8KqEiHKlYjvO4HSJNl6NJg/Yts3sOXPiNsN6KAz6WYwxRH5/Efk9nGPEjhzDBBsHd911F6mpqfzwhz/ksMMO4/TTTyc/fxBL6fYSLMsiPS2td0xxoJmvl9ljZ7uZ6Qc+nz8Zzv4eTJ03uFBBSqpJBvRSSyA5FSszi/SsHP/io4MxmiIQ8r4kOJZlkZ6eHrc6i/z+IvJHZq8wDELlV9q2TUdHB4WFhdx0001s3ryZW265hUWLFvkgYezjui6rPvmkt/tquDPfwEy/PciwSE41SYWDcUcHPhNpGWUXIXUZTaLocvddFx9wXZdVq1aNrs511Sa5cKCXl+Vu+CR/FBH5/WU05E/45EOlVLfLpa6urlcpyeTkZPbs2cODDz7Ixx9/zAEHHOCTlLGPbdssmD9/4F4JgyVU+eKRIlAdEbC1ZsGcWT26jNIyu5Eg5H1JcGzbZsGCBaOn8yCaI5GcalbMDMCoyx9lRH5/GQ35E9owCDYKfvCDHzBjxgyuuOKKXvu0t7ezfPlyZswYREx7L6XfmtnhZr0npYzeQBzwTrQ2Q2o6TmdH0N+CihoNRx6fDIx4XEs+XEZVZ4/NkQDPBXDi/Z6J/P4y0vLHp8nkgWCj4JprrmHjxo1ceuml/fYbO3Zs/BkFgYp9Xl5ROp7qWpXgS7tpr7qqrn8DqxQ62nr+FshDSB+D0hZFm8p6dElJM0sXhxvzDzYwRkPfrhodvt0Xn1BKUVRUNPo6B5ojDfTyYBT4Jn+UEPn9ZTTkT0iPQbBRcPXVV1NcXMwjjzxCUlJSr1oFQhceklhsx2HRokXYjhN5f69JMUnJ3vYLVUY43H6WBa1N5v+dHT29EwLVETGhhEWL88wzYlmmUmNqqDKNHgk8T6npPR6D4bj5BvF82mDuS0CX0cDnpC3btnt0jkNEfn8R+T2cY8SO7BOhjIKHH35YjIIoEDfJOh6y/kdEl5Q0GJM7OuWHg4ib+xJF4l1nkd9fRP6BSSjDQIyCEaBrSaJqa6F47dr4cL9FyPpXSlFcXBwfukQgkXTxSrzrLPL7i8gfmYQJJYhRMEJ0LUl06GDxAQf47kbuxRCT/RzHYfHixSMn1yiSSLp4Jd51Fvn9ReSPTMJ4DAJGwY9//GMxCqJJl1teJ6fS0toasiaEbwyxjoLWmpaWltjSZYgkki5eiXedRX5/EfkjkzCGAcBPf/pT3nvvPTEKoKcq4XAz5Lvc8spJZuOGDbHlfhtiBUGlFBs3bowtXYZIIunilXjXWeT3F5E/MgljGLiuy9FHH80zzzwjRgFEtR4/GPfVokWLYuuaDrGCYEzq0hePjZbiQpcoE+86i/z+IvJHJmEMA8dxOPHEE8UoCBDFevxg3FdNTU1x634LJi508WjYxYUuUSbedRb5/UXkj0zCGAbB7PVGAfTMpqNkGCilKNuyJW7db8EopSgrK4ttXTwadnGhS5SJd51Ffn8Ztvw1FZH7ZtRVR1foIEbj+ifMqgRhZHEch4Xz55tVCV4s1WiuXhhMBUcP53Usy+gCZlY+EF6KiAzGcvd6XTyWm3Ych4ULF3o/fwIQ7zqL/P4yZPkzupq7rbgl8r7JqXDZ7Z4qYQ6W0bj+YhjEI9FeMujheFprGhsbycrKGv12pV7PZ1nedAGjy5gxsdl6dRAy+XpffEJrTUNDQ9zqHO/3bK+VP3e8GeybGwber6bCGA/NDSNiGIzG9U/IUIIQfZRSVFZWxq37MJiIunhM/IsFEum+eCXedRb5/WVY8ueOj9wvI1KjrWEyGtdfPAaCJxzHYd68eX6LERUcx2He3LnhdwhuhjScHgqjQCLdF6/Eu84iv7+I/JERj4HgCa01dXV1cZvJG0xEXQbbbdFHD0Mi3RevxLvOIr+/iPyREY+B4AmlFNXV1WRlZcX9qg+lFNU1NWSlp+J0tvcvqewx8a+b4KWFg6ypMFwS6b54RSlFTU1N3Ooc7/dM5PdITUXkfTKyB52HMBryi2EgeMJxHObMmRN5x+D+BaPcZdArjuMwZ/ZsM8sPhAyGM6CnpPXoPMp4vi8JRLzrLPL7y4jLP8KrF0bj+othIHhCKUXt7t3k5eUN3Ac8ePY80gPlEJsoKaWora0lb0wGdsBjMBwG62GIIt26RLovCYRSil27dsWtzvF+z0T+CIzw6oXRuP5iGAie0FpTV19Pbm7uwDuO5ux5iC78XrrEeHJhJALxxoj3JYGId51Ffn8ZFflzx4/IUkUYHfnFMBA84TgOs2bOjLxjYPY8Guubh2iEeNYlDnAch1mzZvktxqgS7zqL/P4i8kcm/vxAgi8opaiqro7u2lmtvb9C0beJksdjKdeNvi4+oZSiqqpqYF2Ge51jDE86xzAiv7+I/JERj4HgmebmZsjPHx1vQDAeKxp6xrZpbmkx5Y6jEaPzufpbc3Ozr+f3g3jXWeT3F5F/YMQwEDxh2zaFhYV+ixEVRJf4xpPOddWRk7+84mXZ2SCI93sm8vvLaMgvhoHgiYD7qqCgIC4zkYMJhEUSRpcEuS9eUUqxY8eO8DrXVcMd341uwankVLMMLQrE+z0T+aPMIOsdjIb8YhgInmlvbx/dE45gTYRR12UESSRdvDKgzs0N5tk5+/vRq1s/hEI0AxHv90zkjwLDqHcw0vKLYRCCDz/8kPb2dlzX5aijjvJbnJigo6ODe+65h6uvvprU1FFasz9CNRF80WWESCRdvNJZsZFnHnqAr3/9G6QkJ/ffITADy59imtrEGPF+z0T+KDHYegflxdA8hc6ODp752z39n//GxqiJZul4LRg9Qjz00ENUVlZSWVnJnXfeyec+9zl+8pOfDGt5SENDAzk5OdTX15OdHR135GhTV1dHXl4etbW10Vs/G+nRG6zHwOOjXFdXR97YsdHVxSc83ZfBfMV9SKT0+v3o3u+q08lODWEQBDOEinKjxYh8l0YRkX+U8Rgaa2jrIOe3T0VlnBGPQRA333wzCxYs4IorrgDgkksu4cgjj2Tt2rX85je/4fjjjx/W8evq6gC6l5mkp6eT3GXx2bbd/b5t27iui2VZ3du2bWNZ1qC2A+cK3nYcB631oLaVUt2yBd7vK6+X7X46WdbAethJ2BnZ3nVyXU869ZVtsHrE2n1KSkrq/pzWuvueDUknxxl1nQZL0wlfZ9lXvsnKla+SNSYr9E5Rdv0Lgm/08Sw07mlk6dJl/Z//snXw26eicsoYyLyIHXbt2sXJJ58MQGtrKzNmzOCdd95BKcUPf/hDHnnkkWEdf/r06eTk5JCXl0deXh7XX389FRUVVFVVAVBeXk5NTQ0AZWVl1NbWAlBaWkp9fT0AGzZsoLHLZVRSUtK9bKW4uJjW1lYAioqK6OjoQClFUVERSik6OjooKirq1q24uBgwy15KSkoAaGxsZMOGDQDU19dTWloKQG1tLdu3b+9+v7y8HICqqioqKozbdvv27d37DEundet669TWNjSd1q0Lq5Nt28ydO7db3pqampHVaQTvU3NzM2eeeSa2bVNbW0tZWVlonbZtMzrt2MH2HTuMTtu29dZp1y7fdBoMeuxEPt5Rj54w04QKQr1i2CgIGEsxkfg2BER+H8gd3/1s6wkzQz//4yZF7XQSSuiivLycAw44gJdeeomDDjoIgM7OTpKSkqisrOTss89mx44d3HHHHZx++umDOnZ9V/nd1atXk5OTE5ceg7q6OmbMmEFZWRk5OTmj4zEI3u6jx3A8Bo21uyicM5fSdWsZu8/EuPYY1NbWMmvWLEpLS8nOzg7tMXDd0Hq0tUB7G3ZaOsrpeg598Bg0NTUxdepU6urqyMnJifg9WrvyWeYvPYUtW7bEhyu4D3V1dUyfPl3k94lElb9hw6dMPeToiN8jL4hh0IXWmm984xvsu+++XHrppd0XNmAcVFRUcMQRR5CVlcXLL7/MPvvs4/nYFRUVTJ06daREF4SEYOvWrUyZEn4VgXyPBCEykb5HXhDDIIibb76Za665hn/84x+cffbZ3bHbgHFQVlbGwQcfzFe+8hVuvfVWz8dVSlFZWUlWVhaWz1XyBCHW0FrT2NjIpEmTBnTvyvdIEMLj9XvkBTEMMBc08EPz7W9/m/vuu4+77rqLs846q9vV39HRQXJyMh999BFf//rXefLJJ2X2IgiCICQcsioBsCyrOx564403UlVVxbe+9S0sy+LMM88kLS2N5ORk2tvbWbBgAUuXLu02GARBEAQhkYijtMzo43YlZUFPhuqYMWO4++67+exnP8vXvvY17rnnnu4M9JSUFNLS0hgzZkx8ZbQKgiAIgkf2mlCC1pqXXnqJjRs3kpaWxvLlywFjHDiOE/IzV1xxBf/85z/5wQ9+wHHHHcfRRx/NU089xX777cf06dNHUXpBEARBGB32GsPgz3/+Mzt27OC+++5j48aNnHPOOTz44IMRP/e3v/2NjRs38vjjj/OlL32JL3zhC8ydO3cUJBYEQRCE0WevMAweeOABcnJyOPnkk9myZQt33nknN910E++88w6LFy8O+ZngNdgAe/bsYcyYMaMksSAIgiD4Q8IHyrds2UJmZmZ3RcPp06fzzW9+kzFjxpCRkdFv/+ACMJ2dnd3vi1EQnk2bNvktgiAkBPJdEmKBhPcYNDQ0cPfdd6O15oc//GH3+z/84Q+ZMWNGd2/rc889l9mzZ5OZmQnAW2+9xRtvvMHy5cspKCjwS/yYZ8WKFXR2dnLuuef6LcqgeP3112lsbKSpqYkvfvGLfoszLB588EFOO+000tPT9+qk2HjvihpP36V4//7E+3dmpK9//F2RQdLZ2cnq1au5++67ef/991FKccstt+C6Lk1NTaxevZpbbrmFE044gd///vfd9d9bW1u56qqrumvDC6FZsWJFd139eLExH374YTZt2sSnn37Ktddey6GHHsrbb78dN/IHs379et555x0yMzPj8gcuWjz00EO8+eabPPbYY5x55pksX7487mbf8fJdivfvT7x/Z0bl+uu9gLKyMv3uu+9qrbXevn27XrlyZfff2tvb9Ztvvqn3228/XVBQoNetW9f9tx07doy6rPFCfX29/t73vqcdx9FbtmzxWxzP/N///Z9++umne7132GGH6cLCQn3PPfdo13V9kmxoXHrppfqkk07SnZ2dcSd7tLjpppv0s88+2/3/0tJSPXHiRH3ooYfqF1980UfJvBFP36VE+P7E83dmtK7/XmEYhKOzs7N7e+XKlTotLU3/8Y9/9FGi+OC6667TY8eO1ZmZmfrXv/611lprpZTWWut169bp4uJiP8UbkB/+8Ifd283Nzd3bZ599tp4xY4a+8cYbY/7HQimln3/+eX3xxRdry7L0K6+84rdIvvLjH/+4e7ulpUVrrfWWLVv0IYccovfff3+9YsUKv0SLSLx9l+L1+5Mo35nRuv57pWEQ+OIF/7+pqUkfe+yxcTHD8JtPP/1UT58+XV9++eW6tbVV19XV6ZUrV+qbb75Zn3XWWbqgoEBfcMEFeu3atX6L2os9e/boqVOn6ieeeKL7vfb29u7tc889V+fm5urbbrut3zMSS6xatUpblqUty9LXX3+9bm5u1rW1tXrXrl36uuuu07/+9a/1008/rTs6OvwWdcTZsmWLzs3N1R9++GH3ewG9t23bpg877DA9ffp0/eSTT/ol4oDE03cpnr8/ifCdGc3rv1caBlprvX79el1UVNTrvfPOO0+Xl5f7JFF8EPCybN26Vd9www26pKRE19TU6NLSUt3R0aFbW1v1c889p/Py8vRRRx0VM+GYwBfliiuu0Jdffrnetm1b99+CfwyWLl2qx44dq9esWTPqMg6Gxx9/XJ9//vn6448/1lpr/cwzz+iPP/5Y//73v9dXXXWVtixLf/3rX9c7d+70V9ARRimlly9frn/zm9/ourq67vcD93Tr1q166tSpesGCBTHzLAaIp+9SInx/4vk7M9rXf68wDIKtJ6WU3rVrlx43bpz+2te+prU2ltgvf/lLvWrVKp8kjC8C13Pnzp36xhtv1FdddZWuqKjotc9HH32ks7Oz9VVXXeWHiGF56qmndFJSkv7Nb36jm5qaut8PtrwPPPBAvXTpUh+ki0zws/zJJ5/oP/zhD3r9+vX9XM7//Oc/teM4MXf9R4KbbrpJp6Wl6fvvv7/Xj2Rge/PmzXrs2LH6iiuu8EvEsMTbdykevz+J9J0Zreuf8IZBcLyltra2e/tPf/qTXrx4sV65cqX+xS9+0c97IHhj06ZN+uc//3mv6xzY/stf/qKXLFmiGxoa/BIvJLfffru2bVtff/31es+ePd3vB75cDQ0N+vDDD4/JWU9fPvnkE33iiSf2iqMHfgjvuOMObVlWTLihR4LgH/xLLrlEZ2Vl6fvvv7/Xj2Rg+8MPP9T7779/THsE4+W7FO/fn3j/zozG9U9owyD4C/b9739f33rrrf+/vfuPibr+4wD+PENhFHIom1lbGzIbGU7lR44trVTWtHIwwNVamaXyB8OtP4SAQm1uDUqILWyQpaVrwaGW1RzcGank2kVXBmlDOHGZBRieAxQK7/X9g+79vQNEIo/PfT48H3/B5+7m6968X29f93m/7/32GUyampqks7NTurq6tAhP94YvcvFezCki0tDQIAsWLPC5xasl7799Tk6OSi7vgrG/v19Ehhb5NDc3T3aIE+JwOHzeg+d9ulwuSUpKkrq6Oo0i8z9PH+zp6ZHU1FQJCwuT6upqtQhRRGRgYECuX78u2dnZ8vvvv2sV6pj0kEtGyp9Az5nR1ghMZvsb9thl7y2N8/Pz0draijfffBMmk0k9JzY2VqvwdEFEfNprOO/vADc0NODSpUtYsWIFIiIicMcdd2Dp0qVYsWKFprtGDg4OIihoqJt7v5edO3di5syZyM/Px+XLl5GVlYWoqCgEBwcDAMLDwxEREaFJzP/WkiVLAAAulwuhoaGYMWMGgKH3EBMTo5vvl4+X98Fnw09Fzc7Oxvr16/HWW29h3bp1iIyMVO2h5amoes0lo+ZPoOeMp601a/8JlxQBzLv6fuWVV2Tt2rVqvnF4JU5jG+/q1j179ojJZJJz586JyNDf4PXXX5fGxkZ/hjdCXV2d7N+/X8rKysb1/MrKSgkLC5OsrCzZu3eviIh8+umnAXPLebzt39TUJGlpaXLgwAF1bWBgQDZs2OCzUElv3G63WK1Weffdd9XfR2TsPM7Ozpbw8HDZvn27nDhxQkREvvjiC2lvb/d3uGPSQy4ZIX/0mjNut1s+++wz2b59u+zYsUNdH6uv+6v9Dbclsvedgry8PJw5cwYHDx5EUFDQmEcs0/8dOHAAfX19yMzMBHDrTzse+/btw1133YWBgQF0dHRg9erVeOCBB/wdLoChGA8fPgwRQXd3Nw4dOgS73Y533nkHycnJiIyMvOlrjx8/jh9//BE1NTVYu3YtnnrqKcTExExK3Dfz/fffIz4+HsD423/16tWIjY1FYWEhenp6sHfvXqSkpODBBx/0d7h+o/dTUfWSS0bIH73nzPvvv4++vj4cOnQIDQ0NmD9/Ps6ePXvL1/ml/f9TWRFgeKfg9khLS5OkpCSpqqpS18aqwr3b9rfffpOuri7p6enxa4zDlZaW+ny/V0Rk/fr1EhERIXl5eaN+Whz+ngKljzQ0NEhKSoqcPHlSXRur/b37fX19vRw8eFAsFov6xKlXVVVVakfD9vZ2ycvLk+DgYPV1s9EMn6uf7H44nF5ySe/5o/ec8e7rvb29Ul5eLtOnTxer1Soit15zIHJ7298whQGLgtvDYrHISy+9JMuWLZPly5fLJ598oh4bK9G03hgkKytL/ey98CwnJ0fuuece2bRpk5w/f37E6zyLdQLJrl27JCwsTFJSUnx2aBtrcAi0DWX+q/b29hGbErW2tsrs2bN9ti338M5/rfuih55ySe/5o+ec+eOPP+TLL7/0uXb9+nWZP3++OByOMV/rr/bX3wkSN+GZPigoKOD0wQR1dnaipaUFe/bswZEjRxAUFITy8nJUVVUBGFr8IqPMPJ06dQolJSXo7Oyc7JAVu92OPXv2AABCQkLUkdlFRUV44YUXsH//fhQXF6Orq0u95rvvvsPWrVvR2tqqScyjqampQVdXFz7++GNcvHgRZWVlOH78OIDR299zu7SjowP9/f2THq+/REREoKWlBSUlJepadHQ0nn/+edTW1qKsrAwFBQU4ffo0+vr6VP4HQl8E9JdLes4fvedMeHg4WlpakJWVpa6FhITg8ccfx+eff46tW7fi2WefRW1tLS5duqSeY7fb/df+fik3NPLaa6/JqlWreKdggtxut0+bXbhwQVauXCnLli0b89POsWPHxGQySWtr66TFOjyWwsJCSUtL8/n+sfcnr82bN8u0adPk6NGj6tq5c+fEbDYHzNeq3G632O12uXr1qogMtevixYslJSVFvv76a5/nefv111/loYcekpKSEsP0+T///FNefPFFWbBggdjtdrlx44aUlpbKli1b5I033pCNGzdKaGioREZGyrZt29RmL1r2RW96ySW9548RcubatWuSl5cnixYtktraWhEZ2k+hoKBAPvroIykoKJB58+ZJcHCwbNq0Se2A6c/2N0xhMDg4KHV1dSwKbhPPrdmbDWjD21fr7WZ/+eUXCQ8Plw0bNkhnZ6e67j24PfPMMzJ37lyf13kGlEDjad/6+vpxDXQ5OTnS0NAwqTH6m1FORdVDLhkhf/ScM1euXFH/wff09MipU6d8Hm9paZEnnnhCgoODfWL2V/sbpjDwxqLg9rjZgOZJsECZX/Q4duyYzJgxQzZu3Oiz37n3Tnhr1qwZkXSB7mYDnbdAmS+dDHo8FVUPuWSk/DFKzngXZmfPnpU5c+ZIbm6uiPg3fsOsMfDGNQW3x7Rp0+B2u3Hffffhgw8+wIwZM7B7924cOXIE165dQ2lpKS5fvqx1mMqKFStQXl6ODz/8EPn5+bh48SIAYPr06RgYGAAAxMfHq5/14tFHH0VpaSna29vx9ttvo76+HgDw119/4eeffwaAcX01S+/kn7liT36LCBISEpCUlIT7779fy9BuSQ+5ZKT80XvOuN1uAFCbG7ndbsTExOCRRx7B4sWLAfg5fr+VHGQYnk8758+fl+TkZJk3b57ExsbKTz/9pHFko7NYLBISEiKpqakjVvUWFxfLhQsXNIrsv6mvr5clS5ZIWlqaWCwWefXVV6WlpUXrsCaV3k9F1UMuGSl/9Jwzzc3NPtNnIiLPPffcpKw/YWFAPm52e8pzO7GpqUlMJpPYbLbJDOtfO3nypMydO1eefvpp2bZtm/z9999SXV094uQ6vbHb7XL33XeLyWSSb7/9Vutw/Ervp6LqOZeMlD96yxm32y3Xr1+XqKgoWb58ufT19Ulvb6/s2LFj0gpIQ04l0MS43W51e8rlcvk8Nn36dPT29sJiseCHH37AypUrNYhw/B5++GF88803ePLJJ3HmzBns3r0bCxcuxL333qt1aBMi/9xGT0xMREJCAo4dO4alS5dqHJX/DO+LJpMJs2bNws6dO3H69GmcOHECu3btQkpKChYtWqRxtCPpPZeMkD96zRmTyYSQkBDs27cP/f39sFqtKC8vR2pqKhYuXDg5MYgYa0tkmhjvraRffvllREVFYcuWLT7P6e7uxtWrVxEVFaVFiFPe4OAgSkpKsGbNGkMfADZaX8zOzlb/0TY3N2POnDkwmUxjbtWrFeZS4NB7znR0dCA0NBQigpkzZ07av8vCgEacRNnU1ITDhw+rhS8UOPr6+nDnnXdqHYbf6L0v6j1+IzJ6zvgDC4MpjodOUaDQe1/Ue/xEHlxjMIVxIKNAofe+qPf4ibyxMJiiOJBRoNB7X9R7/ETDsTCYgjiQUaDQe1/Ue/xEo2FhMAXxJEoKFHrvi3qPn2g0XCo7RRUWFsJut+Po0aMcyEhTeu+Leo+faDh+K2EKunHjBr766is89thjHMhIU3rvi3qPn2g0LAymOA5kFCj03hf1Hj+RBwsDIiIiUrj4kIiIiBQWBkRERKSwMCAiIiKFhQEREREpLAyIiIhIYWFARERECgsDIiIiUlgYEBERkcLCgIiIiBQWBkRERKSwMCAiIiKFhQEREREpLAyIiIhIYWFARERECgsDIiIiUlgYEBERkcLCgIiIiBQWBkRERKSwMCAiIiKFhQEREREpLAyIiIhIYWFARERECgsDIiIiUlgYEBERkRKkdQBEk6W4uBhmsxlWqxV5eXmIi4tDcXExAKCtrQ0VFRUaR0gU2HJzc9XPRUVFPo9lZGQgOTkZmzdvnuyw6DYziYhoHQSRv+Xm5iIvLw9msxkOhwMZGRlIT09HUVERHA4H4uPjYbVasWrVKq1DJQpIxcXFyMnJgdPpRHR0NK5cuQKz2QwAcLlciIiIgMViQXp6uraB0n/GqQQyPJvNhsTERDWImc1mOJ1OzJ49GwDQ3d2N9PR0FgVEN+F0OlX+OBwOAFC/A0BjYyMAMIcMglMJZHgul8vnU4xnYPPc8ly1ahUHNKIxuFwulS8VFRUj8sVqtWLevHk+xQLpFwsDMrzhtzatVivi4uI4iBGNU1xcHIChAsFms8Fisfg8brPZWFwbCKcSaMrhIEY0MdXV1QBGFtsOhwPJyclahER+wMKAphSn0wmn0zliELPZbBpFRKQfnikDb57cYbFtHCwMyPAyMzPVuoKamhoAQEJCgnq8pqYGs2bN0iQ2Ir3xTCt4WK1WmM1mTs0ZCAsDMrSamhpUVlb6XDObzeju7gYwNGfqdDpHDHZENFJiYiKcTqf63eFwoLi4mHcLDIb7GJChuVwu5ObmIj4+Hi6XCzk5OWrxVHx8PABwQxaifyEjI0NNJ0RHRyMzMxMVFRXMIwNhYUBERBNis9mQnJzss9kR6R8LAyIiuqXKykq0tbX5bIWcnJwMs9k84uuLpG9cY0BERLeUm5sLl8ulfrfZbGhsbMR7772nXVDkFywMiIjoltatW6cOGnO5XMjMzITFYuEUggFxKoGIiG7J6XSioqIC0dHRaGtrQ2Zm5og9DcgYWBgQERGRwqkEIiIiUlgYEBERkcLCgIiIiBQWBkRERKSwMCAiIiKFhQEREREpLAyIiIhIYWFAREREyv8A3vwaJfsuboQAAAAASUVORK5CYII=", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from scipy.stats import multivariate_normal as mn\n", "from corner import corner\n", "\n", "n_samps = 1000\n", "samples = mn(np.zeros(2), np.identity(2)).rvs(n_samps)\n", "\n", "c = corner(samples, color = 'coral', labels = ['$x$','$y$'], hist_kwargs={'density':True})" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The only difference with the previous case is that the mixture needs to be instantiated specifying the bounds for both dimensions." ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [], "source": [ "x_min = -5\n", "x_max = 5\n", "y_min = -5\n", "y_max = 5\n", "\n", "bounds = [[x_min, x_max],[y_min, y_max]]\n", "\n", "mix_2d = DPGMM(bounds, prior_pars = get_priors(bounds, samples, scale = 3))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The inference runs exactly as before:" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|█████████████████████████████████████| 1000/1000 [00:00<00:00, 2940.55it/s]\n" ] } ], "source": [ "for s in tqdm(samples):\n", " mix_2d.add_new_point(s)\n", "rec = mix_2d.build_mixture()\n", "mix_2d.initialise()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's compare the initial samples with a set of samples drawn from the recovered distribution." ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "mix_samples = rec.rvs(n_samps)\n", "\n", "\n", "c = corner(samples, color = 'coral', labels = ['$x$','$y$'], hist_kwargs={'density':True, 'label':'$\\mathrm{Samples}$'})\n", "c = corner(mix_samples, fig = c, color = 'dodgerblue', labels = ['$x$','$y$'], hist_kwargs={'density':True, 'label':'$\\mathrm{DPGMM}$'})\n", "l = plt.legend(loc = 0,frameon = False,fontsize = 15, bbox_to_anchor = (1-0.05, 1.8))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Multiple draws:" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|█████████████████████████████████████████| 100/100 [00:46<00:00, 2.16it/s]\n" ] } ], "source": [ "n_draws = 100\n", "draws = []\n", "\n", "for _ in tqdm(range(n_draws)):\n", " draws.append(mix_2d.density_from_samples(samples))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can visualise the inferred distribution using the `figaro.plot.plot_multidim` method:" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from figaro.plot import plot_multidim\n", "\n", "fig = plot_multidim(draws,\n", " samples = samples,\n", " save = False,\n", " )" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Hierarchical inference" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's assume to have a set of samples $\\{x_1,\\ldots,x_k\\}$ from some probability density $F(x)$. Around each $x_i$, another process generated a set of samples $\\mathbf{y}_i = \\{y_1^i,\\ldots,y_n^i\\}$ according to some distribution $f_i(y|x_i)$. \n", "To give a bit of context, $\\{x_1,\\ldots,x_k\\}$ could be the true masses of the black holes observed by LIGO and Virgo drawn from the mass function $F(x)$ and each $\\mathbf{y}_i$ could be the set of single-event primary mass posterior samples drawn from the posterior samples $f_i(y|x_i)$.\n", "\n", "In this section we'll see how to use FIGARO to infer $F(x)$ using $\\{\\mathbf{y}_1,\\ldots,\\mathbf{y}_k\\}$.\n", "In the following example, both $F(x)$ and $f_i(y|x_i)$ are Gaussian distributions." ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [], "source": [ "mu = 30\n", "sigma = 5\n", "n_evs = 100\n", "n_post_samps = 100\n", "\n", "mass_function = norm(mu, sigma)\n", "true_masses = mass_function.rvs(n_evs)\n", "\n", "single_event_posteriors = [norm(norm(M, s).rvs(), s).rvs(n_post_samps) for M, s in zip(true_masses, np.random.uniform(1,3, size = len(true_masses)))]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "First of all, we need to reconstruct the $k$ probability densities $f_i$. For each $y_i$, we can use the DPGMM class.\n", "A proper analysis would require to draw multiple realisations for each posterior distribution. In this example, for the sake of time, we will draw only a handful of realisations for each event." ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Events: 100%|█████████████████████████████████| 100/100 [00:26<00:00, 3.80it/s]\n" ] } ], "source": [ "n_draws = 10\n", "x_min = 1\n", "x_max = 70\n", "bounds = [[x_min, x_max]]\n", "\n", "posteriors = []\n", "for event in tqdm(single_event_posteriors, desc = 'Events'):\n", " draws = []\n", " mix = DPGMM(bounds, prior_pars = get_priors(bounds, samples = event))\n", " for _ in range(n_draws):\n", " draws.append(mix.density_from_samples(event))\n", " posteriors.append(draws)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Once we have the single-event posterior reconstructions, we need the HDPGMM class:" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [], "source": [ "from figaro.mixture import HDPGMM\n", "bounds = [[x_min, x_max]]\n", "hier_mix = HDPGMM(bounds, prior_pars = get_priors(bounds, samples = single_event_posteriors, hierarchical = True))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The methods for this new class are the same we used before." ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|█████████████████████████████████████████| 100/100 [00:09<00:00, 11.06it/s]\n" ] } ], "source": [ "n_draws_hier = 100\n", "hier_draws = []\n", "\n", "for _ in tqdm(range(n_draws_hier)):\n", " hier_draws.append(hier_mix.density_from_samples(posteriors))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In the same fashion, we can plot the recovered distribution using the dedicated method:" ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plot_median_cr(hier_draws,\n", " samples = true_masses,\n", " injected = mass_function.pdf,\n", " show = True,\n", " hierarchical = True\n", " )" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "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": "3.10.13" } }, "nbformat": 4, "nbformat_minor": 5 }