{ "cells": [ { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Complexité du tri" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "Pour évaluer la complexité d'un algorithme de tri, nous allons mesurer \n", "\n", "* le nombre de comparaisons \n", "* le nombre d'écritures dans le tableau. (ou d'échanges si c'est plus pertinent). " ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "skip" } }, "source": [ "Pour évaluer expérimentalement ces valeurs, nous réécrivons l'algorithme de tri pour qu'il les compte." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [], "source": [ "def tri_a_bulles(T):\n", " nb_comparaisons = nb_echanges = 0\n", " \n", " N = len(T)\n", " for k in range(N,1,-1): \n", " for i in range(0,k-1): \n", " nb_comparaisons += 1\n", " if T[i] > T[i+1]:\n", " nb_echanges += 1\n", " T[i],T[i+1] = T[i+1],T[i]\n", " \n", " return nb_comparaisons, nb_echanges" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "skip" } }, "source": [ "Pour visualiser ces mesures, nous écrivons une fonction d'affichage avec la librairie matplotlib. Elle affiche également en pointillé les fonctions linéaires, linéarithmique et quadratique pour faciliter l'interprétation des mesures. Cette fonction sera importée d'un fichier annexe pour les tris suivants" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "slideshow": { "slide_type": "skip" } }, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib\n", "import matplotlib.pyplot as plt\n", "\n", "def affiche_complexite(X,C1,C2,titre):\n", " \n", " fig, ax = plt.subplots()\n", "\n", " X2 = [ x*x for x in X ]\n", " XlogX = [ x*np.log2(x) for x in X ]\n", "\n", " plt.title(\"Complexité du {}\".format(titre))\n", " plt.loglog(X,C1,label='comparaisons')\n", " plt.loglog(X,C2,label='echanges')\n", " plt.loglog(X,X2,label='quadratique',linestyle='dotted')\n", " plt.loglog(X,XlogX,label='linéarithmique',linestyle='dotted')\n", " plt.loglog(X,X,label='linéaire',linestyle='dotted')\n", " plt.legend()\n", "\n", " text = \"{:>5} |{:>10} |{:>10}\\n\".format(\"N\",\"Comp.\",\"Ech.\")\n", " text += \"-------------------------------\\n\"\n", " for i,(x,c1,c2) in enumerate(zip(X,C1,C2)):\n", " if i % int(len(X)/7) == 0:\n", " text += \"{:>5} |{:>10} |{:>10}\\n\".format(x,c1,c2)\n", " \n", " props = dict(boxstyle='round', facecolor='wheat', alpha=0.5)\n", " font = matplotlib.font_manager.FontProperties(); \n", " font.set_family('monospace'); font.set_size(14)\n", " ax.text(1.05, 0.95, text, transform=ax.transAxes, fontproperties=font,\n", " verticalalignment='top', bbox=props)\n", "\n", " plt.show() \n", "\n" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "Enfin, il convient d'effectuer les mesures pour diverses tailles de tableau et éventuellement divers contenus. \n", "\n", "La fonction qui suit teste 50 tailles allant de 10 à 1000 selon une progression géométrique (facteur multiplicatif constant). \n", "\n", "Générer le contenu du tableau est sous-traité à la fonction genere_tab passée en paramètre. " ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [], "source": [ "def evalue_complexite(algorithme, genere_tab, nom):\n", " \n", " C1 = []\n", " C2 = []\n", " X = [ int(x) for x in np.logspace(1,3,50) ]\n", " \n", " for n in X:\n", " T = genere_tab(n)\n", " comp, ech = algorithme(T)\n", " C1.append(comp)\n", " C2.append(ech)\n", " \n", " affiche_complexite(X,C1,C2,nom)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "Evaluons d'abord la complexité du tri d'un tableau au contenu généré aléatoirement." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def tab_aleatoire(n): return np.random.uniform(0,1,n)\n", "evalue_complexite(tri_a_bulles, tab_aleatoire, \"tri à bulles\")" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "Nous voyons que tant le nombre de comparaisons que le nombre d'échanges ont une **complexité quadratique $\\Theta(n^2)$** pour trier $n$ éléments. \n", "\n", "Pour être plus précis\n", "* le nombre de comparaisons est exactement $n(n-1)/2$ \n", "* le nombre d'échanges varie selon le contenu mais est de l'ordre de $n^2/4$\n", "\n", "Il sera souvent pertinent d'effectuer deux autres tests pour évaluer la complexité de nos algorithmes. " ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "Le premier test consiste à trier un tableau déjà parfaitement trié." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "image/png": 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D//79cfHiRcTHx8PR0fGjOn/++WcMGzYM169fh729PXx8fARdyzWpGiuXy0VZWRnExMTw+PFj3L59G6dOncKOHTtw586dOu8Fw7R1GUUZ2PJ0C8aajIWluiVmdJ0B967uUJBQqP9kBoQQeu32Y1sej3e/rT+t/bXH7/2v+jxymD5h8E23oQ6xsQkp8pdu3O8s6riYul08vHKXrpZaYeW2tLRkrQ/6tiYNShYppRNr2X8dwPVGjagFcXJygpubG3744QeoqqoiIyMDvXr1wqlTpzBlyhScOHECvXv3/qQ6eTwezp07hwkTJuDvv/8WnJ+bmwttbW2UlpbixIkTaNeuXY3nZ2dnC455enrWWCYmJgbm5uYwNzfHgwcPEB4ejr59+2Lv3r2YNm0aMjIy4O/vj40bNyI8PLzGOvLy8lBQUICvvvoK9vb2MDQ0/KT3yTBtSeUvllJcKTx5+wTdNLrBUt0SchJyog6tVVFXVXxfVlYutvPwFcO5/zcyWtTxiEpY1GtZr1uPeo8e1ttv25rZTwDAsZdl+oyJQ+IryyQkvZOaOnfDsBdhcUY8SjldjPRiDm5eeM3UpEMeAMh2dF3R06ZLcHBojIljL8tnaenZ8i/D441GDu0VcHDLj/cqu+qnjBnofc3nkV1OXoG8lVmn8AuHVlxRVVYoFdFbb/U66mnnGxroFNR2/NDJG/pb9p7vn/gmTUdSQrykaxf9qCtHVnvJyUoLksrvl/7V46yXfx9QkLHD+/rvXD/3UfNEXzuR/urW0ruhzczM8Ouvv6Jfv36wtLQUdO0ePnwYFhYWOHbsGLZt2/ZJdcrKyiI0NBQ2Nja4c+cOli9fDgBYs2YNevTogUGDBqFz59p/eVyyZAmWLl0KBwcHlJfX/AvL1q1b0bVrV1haWkJaWhpDhw6Fm5ub4EGdAQMGYMOGDdDS0qr1Orm5uXBxcYGFhQX69euHP//885PeJ8O0FYdeHsJM75mglEJGXAZX3a5itPFoUYfVKhEAXzl1f3r0rE/3egt/wU5f9u3I4/E4U8YOfFVbmWnzNn6VkPROa8f6OccPb110OCMzR2HK3P+NqFrGQE/7/Q+zRl/9586TXoYGOqlLvh935fy1e33LysoFXWJetx52X7d0xqVd6+cejY570/67Jdv6NeV7a8tu33umtmD57skdO2innNm/bN+ejfOPy8lIFefkFgga7tKzcpUTkt6pntm37PAgR5snR87cGhz0PErkXRMiXRu6od3QojRt2jRMmzat2r6aumOrtvLp6+vj5cuXNR4D+InhmjVrqu3z8PCAh8fHc5h/eG7Pnj0RGRlZrS4AcHR0FHRJ//XXXzW+l40bN2Ljxo3V9lU9DwB27NgheP348eMa62GYti63JBey4rLgEA6UJJWgKauJovIiSItJQ5zL1kcXxs9zJzzrNsjD8VFQuJKoYxGVxOQ0RQAw76xf45OdSSnvJZ+GRHZduWjK6a/dBiQBQG5e4U2Pn7ZNfxQUrtTDunMWAIwf0S/CxsIo6/dtJzFxZP9wOyuTrNVbjovHxCcLBqGPdel7f+rYga8B4ElwZMDx8z79Afg0+Zv8QtkO+X5B1e1Bfa0fn93/mw8A/L7tZO/2OurJV46svlF5fNRXvVOqlieE0L93/3JTQU6m3NrC6N9L/wT0833wXMvawqhxn/L9RCJNFgkhrgBcWRcnwzCtRUxWDKb+MxW/9fwNQ/SHYJTRKIwyGiXqsL4YBnpahbYWRqGbd5+1tTI3/KQZNr4UdQwxBwAEPY9SppSSPj3M31Xuc+5n/RYAgl9Gq1Qmi/JyMmXKSvJlla8VFWTLACAn77+WLEuzjqlVX+8/USKd+CZVqn07jaLGfE9txf5NP3hqaSgL7p22hqrgdeKbVA0bC+M6h1coysvmKMjJlAOAgpxMubi4WGl6Ro5000XcMCLthqaUelFKv1VUVBRlGM0qLy9P1CEwDPOJSspLEJsVCwDQV9DHUIOhMFAwEHFUXy4Pd9cnd++HdCsuLuWKOhZR0Gunng0AoREJ8jUdr+mBxYp58UAIqXfSdR6P1vjkJqX8/bz6slWmVt26Gmb16WGeUfmnrvGLNeFyCO/DfZWfiyi17cfNGIZhGmCR3yJ4+HiglFcKLoeLZfbLYKJiIlSdxWXlOPogHhn5JY0T5Bdk9LA+ySrKClk37j4RzVQYIjbOtV8ch0N4R87cMq3puI2lcSYhhP776IVm5b4bdwO1AMDCtGNmTefUJiQ0VqPy9fNXcepSUhJFHXQ1q7UqRsclyzwKClcqKi5hOYMQ2rfTSH0RHtdB2HqKiks4j4LClaLjkpttTjvWDc0wDPMBHuXBO94b/dr3g7SYNGZ0nYHCskKIEeG/MsvKebgQ9AbbbkfhTRZ/ho2pPfWFrvdLM/qr3k+2H7w0XNRxiIKpSYe8oQO63794PaCvsqJcodtQh9gY/tQ5XS57rrqhq61WbGNhFLrj0OWButpq+ZKSEuXrtp4YbNJJN8bepssnraBw7tq/PW0tjd5yuBx61svPwbGnZdCHZWYt2er8MDDM8s65jdsqu7iZmsW+TpEtKSkVJNVi4lyecUfdAgD4Zf7EeyPdV3qMdF8x2MPdNaiktIzjecrb4q913/vraKkWN/QaIaGxCgPGLJ5vb9Ml5PbZDZea4n18iD3gwjAM84GX719isf9irOi5AmOMx8BKw0roOnk8iqsvUrD1ViRi3+fDUlcRf4w2R29DtUaI+Mvz05zxL/eduO5cWFgs8vFaonBqzy+3v/9lR/6F6/fsD568MURGSrKwV3ezF5XHPbctvj513oZhHj//NYVSSjobto/dt2nBtU+9zpD+toE/rzs4Kje/UM7StGP4ng3zfRv1jbQxbtNXzq66rSAnk5vy/PQWAHDq3e39tjUexzbvOTdg3My1thISYiXmnQ2iFeRlap6IuQUhdU3W3FxsbW3p06dPq+0LCwtDly5dRBQR8znYZ8a0ZveT7yO1IBUjDUcCAB6lPIKdlh04RLieN0opboelYpN3BMLf5sJEUx4LnY3hbKpZ76T/9SGEBFJKbRtYVnFgn25bLh9ZnSjURVsBttxf/Srv0dG/luwfPaxPkz9IxJb7a11S32dKuE1fJfvsZfR8QMQti1+SlStXQk5ODosWLRJ1KAzDfIYzEWfwOvc1hncaDg7hoId2D6HrDIh+j403IxCcmAV9VRlsm2AFFwsdcDkiH6/OMAzTYGzMIsMwbVJ8djz+DPwTy+yXQV1GHb/Z/wZ5CXmhWxIBIDAhE5tuRuBBbDq0FaWwfpQ5xtjoQpzLng9gGKb1YVPn1OP48ePo3r07rKysMGvWLJSXl+PGjRuwtraGpaUlnJycBGVfvXoFR0dHdOzYEdu3bxfsHzlyJGxsbGBmZoZ9+/YJ9svJyeHXX3+FpaUl7O3t8e4df8qsmJgY2Nvbw87ODsuXL4ec3H9Lhm3cuBF2dnawsLDAihUrAAD5+fkYNmwYLC0t0bVrV5w+fbqpbwvDtFo8yp+ZgkM4CEkLQXQWf9ozVWlVSHAlhKo7NDkbMzyfYPTu+4hKzcVyF1PcXeSIid31WKLYjHQ0VYrcvnLwE3UcLVkP685Z+bFeq5qjCxoAhvS3DR/gYBXfHNdiGl/r6Ib+52fg7Yv6y30KLXNg6B91FgkLC8Pp06cREBAAcXFxzJ49G8ePH8eyZcvg7+8PAwMDZGRkCMqHh4fj7t27yM3NhYmJCTw8PCAuLo5Dhw5BRUUFhYWFsLOzw+jRo6Gqqor8/HzY29tj3bp1WLJkCfbv349ly5Zh/vz5mD9/PiZOnIg9e/YI6vf29kZUVBQeP34MSimGDx8Of39/pKWlQUdHB9eu8cc2t9TlExlGlCilWPWAP4RtZa+V0FPQw60xtxplxZXo1Dz8eSsS116kQEFKDIsHm2C6gz5kJFrHV+yXpn07jSI2Nq5lWTx7XLioY2A+H/smq8Pt27cRGBgIOzs7AEBhYSEePXqEvn37wsCAPyGvioqKoPywYcMgKSkJSUlJaGho4N27d9DV1cX27dtx8eJFAEBiYiKioqKgqqoKCQkJuLi4AABsbGxw69YtAMCDBw9w6RL/afivv/5aMA7S29sb3t7e6NatGwD+BN9RUVHo06cPFi1ahJ9++gkuLi7o06dPM9wdhmkdsouzoSipCEIIlKWUQSkFpRSEEKETxcSMAmz1icLFZ0mQFudi7gBDfNOnIxSl2ZJ/DMN8OVpHslhPC2BToZRi2rRpWL9+vWDflStXcObMmRrLS0pKCl5zuVyUlZXB19cXPj4+ePDgAWRkZODo6IiiIv58p+Li4oKnISvL1xfP0qVLMWvWrI+OBQYG4vr161i6dCmcnZ2xfPnyT36/DPOl8U/yx4++P+L4V8dhomKC+dbzG6XedzlF2HEnGqeevAYhBDMcDODh2AmqcpL1n8wwDNPKiHQQDSHElRCyr6V2mzo5OeHcuXNITeUvnZmRkQFLS0v4+fkhLi5OsK8u2dnZUFZWhoyMDMLDw/Hw4cN6r2tvb4/z588DAE6dOiXYP3jwYBw6dEiwZOCbN2+QmpqK5ORkyMjIYPLkyVi0aBGCgj6aU5Vh2ozs4mwk5SYBACzVLTG803AoSjbOuOiM/BL8fj0MfTfcxcnHrzHOtj38F/fHMhdTligyDPPFYpNy18HU1BRr166Fs7MzeDwexMXFsXPnTuzbtw+jRo0Cj8eDhoaGoPu4JkOGDMGePXtgYWEBExMT2Nvb13vdrVu3YvLkydi8eTOGDRuGygeAnJ2dERYWhp49ewLgPyBz/PhxREdHY/HixeBwOBAXF8fu3bsb5wYwTCvDozxMvj4ZWrJa2O+8H4qSivit529C15tTVIoD/8bh0L045JeUwc2qHRYMNIaearOttsUwDCMybFLuFqigoADS0tIghODUqVM4efIkLl++LOqw6tWWPzNGdIrLi+Ed7w2Xji4ghMA30RfastpCr90MAAUlZThyPwF7/GKQXViKoV21sHCQMYw05RshcuGxSbkZhmkKbFLuViAwMBBz5swBpRRKSko4dOiQqENimBbreux1LL+/HLryuuim0Q2O7R2FrrO4rBwnH73GjrsxeJ9XDEcTdSxyNkHXdi13mi9hDf36F5cHgWEWldtZERd/r3x95Mwtvfm/7ZpcuT3/GzevVYunVpuiwqD7lNmZ2XlKANCpg3ZCoPeuE1WPT1+wqc/FfwIET9/5nPnfTltLY8EYpKchkYoDx/30feW221CHfw9vXfRv1TpsnGdPiklI6QAAyopyWXGPj+2qenzFxqPm2w5cdK3c3rZm9vFp4wa9rlpGycTtl8rXPW26PP/n79+vNvQ+sHvB7kVbuBc1YS2LTKNhnxnTHHiUh2ux16AspYze7XqjlFeKkNQQ2Go1qIGtTmXlPJwPSsL229F4k1WIHgYqWDTYBHb6KvWfLAKN2bIYEZ0om5qeJRh42aeHuWBAdmZWrtjLiHiFym0jg3Z5WhoqJVXPfxIcoVhUXMIFAAU5mVJLs065VY/HvX4rnZSSJljn2c7KJEtKUoJXuV1UXMJ5EhyhVLmtq61eaKCnVVi1jpDQGPmcvAJxAJCSlCi3szKpNuD9bWqGRFTcG8HEtF1N9HOUleSrPTn476MXgg9TQ1Wp2MSwfX5D7wO7F+xetIV7AXzcssiSRabRsM+MaQ7lvHKMvjIahsqG2NRvU6PUyeNRXH2Rgj9vRSLufT4sdRWxaLAJehuqCb1+c1Ni3dAMwzQF1g3NMEyr8yz1GY6EHsHGvhshzhXHPud9UJNWE7peSiluh6Vik3cEwt/mwkRTHvum2GCQqWaLThIZhmGaE1sbmmGYFotHeeAQDvJL8xGeEY6kvCQYKBpAQ0ZD6LoDot9j480IBCdmwUBNFtsmWMHVQgccDksSGYZhqmJT5zAM0+IUlhViwd0F6KndE+5d3eGg4wAvNy+Ic4RfGSUwIQObbkbiQWw6dBSl8Mcoc4yx0YUYW7uZYRimRuzbUQTc3d1x7ty5Tzrn0qVLePXqlWB7+fLl8PHxaezQGEaksov5Y7GlxaShJKkEGXH+PIaEEKETxdDkbMzwfILRux8gKjUXK1xNcXexIyZ012OJIsMwTB3YmMWyAI/SAAAgAElEQVQWpLy8HFwut8Zjly5dgouLC0xNTQEAq1evbs7QGKbJHX91HLtCduGfUf9AUVIR/+v7v0apNzo1D3/eisS1FylQlBbHkiEmcO+lDxkJ9vXHMAzTEOzX6XqsW7cOJiYmGDhwICZOnIhNmzbB0dERlU9vv3//Hvr6+gCA+Ph49OnTB9bW1rC2tsb9+/cB8AfRz5kzB6amphg2bJhg+UAA0NfXx+rVq9G7d2+cPXsW+/fvh52dHSwtLTF69GgUFBTg/v37uHLlChYvXgwrKyvExMRUa528ceMGOnfujN69e2PevHlwcXEBAKxcuRKbNv33tGjXrl0RHx8PADh+/Di6d+8OKysrzJo1C+Xl5U19KxnmIyl5Kcgo4s9A0UO7B8YZjwOHNM7XUmJGAX48EwLnP/3gG5GKuQMM4b+kP2Y7GrJEkWEY5hO0mmRx+o3puBR9CQBQyivF9BvT4RXjBYA/vmn6jem4EXcDAJBbkovpN6bDJ4HfTZtZlInpN6bDN9EXAPC+8H2DrhkYGIhTp07h2bNnuHDhAp48eVJn+cql/4KCgnD69GnMmzcPAHDx4kVERETgxYsX2L9/vyCJrCQlJYV79+5hwoQJGDVqFJ48eYKQkBB06dIFBw8eRK9evTB8+HBs3LgRwcHB6NSpk+DcoqIizJw5E15eXvj333/x9u3bet9XWFgYTp8+jYCAAAQHB4PL5eLEiRP1nscwjSm7OBsjLo/Avuf7AABGykZYYLMA8hLCrY7yLqcIyy69wIDNvvB6nowZDgbwX9IfPzqbQFFa+DGPDMMwbQ379boO//77L9zc3CAjwx83NXz48DrLl5aWYs6cOYIELDIyEgDg7++PiRMngsvlQkdHBwMGDKh23vjx4wWvX758iWXLliErKwt5eXkYPHhwndcMDw+HgYEBjIyMAACTJ0/Gvn376jzn9u3bCAwMhJ2dHQCgsLAQGhrCP13KMPXJLs7Go5RHcNZ35q/bbP8bbDWFn0wbADLyS7DHLwZH7sejnEcx3q495g4wgpaiVKPUzzAM01a1mmTx8JDDgtfiHPFq29Ji0tW25SXkq20rSylX2/6U+dlqmmtNTEwMPB5/UvWioiLB/j///BOampoICQkBj8eDlJRUnfVUkpWVFbx2d3fHpUuXYGlpCU9PT/j6+n5WjB/GWTVWSimmTZuG9evX11s3wzSmAy8O4HjYcVhrWkNNWg2unVzrP6keOUWlOPBvHA7di0N+SRncrNphwUBj6KnKNELEDMMwTKvphhaFvn374uLFiygsLERubi68vPjd3vr6+ggMDASAak81Z2dnQ1tbGxwOB8eOHROMA+zbty9OnTqF8vJypKSk4O7du7VeMzc3F9ra2igtLa3WNSwvL4/c3NyPynfu3BlxcXGIiYkBAJw8eVJwTF9fH0FBQQCAoKAgxMXFAQCcnJxw7tw5wdjJjIwMJCQkfPoNYph6FJUV4UjoEURm8lvZp3edjtMupxtlQu2CkjLs9o1B3w13sf12FPoYqcF7QV9sGW/FEsU27lFQuJJsR9cVoo6D+Y/T2CUjJ8/5w1HUcTCfp9FbFgkhjgDWAAgFcIpS6tvY12gu1tbWGD9+PKysrNChQwf06cNf33vRokUYN24cjh07Vq1Lefbs2Rg9ejTOnj2L/v37C1oM3dzccOfOHZibm8PY2Bj9+vWr9Zpr1qxBjx490KFDB5ibmwsSxAkTJmDmzJnYvn17tQRVSkoK+/btw7Bhw6CmpobevXvj5cuXAIDRo0fj6NGjsLKygp2dHYyNjQEApqamWLt2LZydncHj8SAuLo6dO3eiQ4cOjXsDmTavuLwYe0P2oqC0AMbKxlCRUoGKlHDrLBeXlePU40T8dSca7/OK4WiijkXOJujaTrGRomaawquIBDmPn7c7x71OaZeemavi9pWD3/EdP/tWLePtF6i+cMUel8Q3aTryctJ508Y5+65bOj1ERCG3GUkp7yW7D5kzu6CoWDor4uLvlfudxi4Z+TAwzLJq2cH9bR9cOLjCu/mjZADR/Yw0KFkkhBwC4AIglVLatcr+IQC2AeACOEAp/QMABZAHQApAUqNH3Mx+/fVX/PrrrwD4TxcD/Na858+fC8qsXbsWAGBkZFRtf2U3LyEEO3bsqLH+yqeTK3l4eMDDw+Ojcg4ODtXmWfT09BS8HjJkCMLDwwEAvr6+gmRRWloa3t41/0yPHz++2lhJhmks3vHeCEgOwKpeq6AoqYiLIy5CU1ZT6HrLynm4EPQG225H4U1WIbobqGD3ZGvY6QuXfDLNIyevQExBXqZw2jhnv8Onbvav4Th3+vyNkzroaiaf3vvr/qs+jwy2Hbg4wsSwfebUsQNfiyLmtmLy938MU1VRyCxITpP+8Jhxx3axJ3YuvVi5raIsX9K80TGVRPkz0tCWRU8AOwAcrdxBCOEC2AlgEPhJ4RNCyBUA/1JK/QghmgC2AJjUqBEzDNPi8CgPBASEEKTkpyAsPQy5JbmQl5AXOlHk8SiuvkjB1luRiH2fD0tdRfwx2hy9DdXY+s2tiL1Nlyyvo2v+AYAT52/3/vD43qNXjbJzCxRO7Fq610BPq3DIALvUgMcvjQ+dvGHLksWms+bPE2bZOXmyroPsg3cd8dL58LiYmFi5qUmHPFHExlQnyp+RBiWLlFJ/Qoj+B7u7A4imlMYCACHkFIARlNLK5q9MAJK11UkI+RbAtwCgp6f3aVGLSGXLYkvm6OgIR0dHUYfBtCHJecmYf3c+5nabi766fTGpyyRMNZ0qdCJHKcXtsFRs8o5A+NtcmGjKY+8UGzibarIk8QsU+DxKR1NdOdVAT6uwcp+FaccE3/vPLUQZ15csJDRGfrenl/PFwysPX75xX7+mMrEJKe01uo5dJC0lWWRraRyxb9MCX1VlhdJmDpWBaH9GhBmz2A5AYpXtJAA9CCGjAAwGoAR+a2SNKKX7AOwDAFtbWypEHAzDiEB2cTYUJRWhLq0OJUklwX4xjvBDoQOi32PjzQgEJ2ZBX1UG2yZYwcVCB1wOSxK/VJnZebJyslIFQc+jFAZPXDprolt/PxUl+YL8gkL2tFIT4PF4cJ+/ceQY1z4BPaw7Z12+cf+jMv0dLKNGDun1spO+Ts7DwDCtvceuDRo1Y5WC38XN50UQcpsnyp8RYb7Va/rWppTSCwAuNKgCQlwBuBoaGgoRBsMwzW3NgzV48u4JLg6/CHGuOPY772+UegMTMrHpZgQexKZDW1EK60eZY4yNLsTZ2s1fPkpBCIG0tGS5spJ8toqSfGFWdj6bJLOJzFu2q0dpWbnY1tUej2srs2zBpNDK1185dU+Vk5UqWbX5+PjI2KR/jDvqFjRPpIyACH9GhPkGTgLQvsq2LoDkT6mAUupFKf1WUZE9xcgwLV1ERgRKy/m9T/3a98NY47HggVfPWQ0TmpyNGZ5PMHr3fUSl5mK5iynuLnLExO56LFFsI5SV5PNz8wpluhjp5UcGHN63ctHUF5nZudKyMtIsKWkCT0MiDRKS3ukqmbgtUzAaseyvQ5dcS0vLxBWMRizbsPN055rOGdC7WwoAhITGKtV0nGlaovwZEaZl8QkAI0KIAYA3ACYA+PpTKmAtiwzTOoSlh2Hc1XH4zf43jDMZh766fRul3ujUPPzpE4lrz1OgICWGxYNNMN1Bn63d3AZZmxsmX731qHfc67fSlWOynr+K7WCgp/VJjRBMw+zdMP/a+8wcwXMFJ87f6Xzh2r99zx9asc/MuENOTec8fhahBgCWZh2zmitO5j+i/Blp6NQ5JwE4AlAjhCQBWEEpPUgImQPgJvhT5xyilIbWUc1HKKVeALxsbW1nflrYLVtoaChiY2Ph6ir86hQMIypv8t4gPjseDu0c0FmlM36z/w2D9etefrKhEjMKsO12FC4EJUFKnIu5AwzxTZ+ObO3mL9yVmw+0AKC0rFwsPSNH7srNB1o6WqqFtpbG2d9Nc43atv9izqTZ611XLJpy9+qtRwZRcckGO9fP9RRx2F8kS7NOuQAEKz3c9n+WB0Lg1LvbewBIfZ8pMXPR1gFjXfqEGnXUzX38LFxt464zQ60tjEJZF7RoiPJnpKFPQ0+sZf91ANc/9+ItvWVRTk4OeXl5SE5Oxrx586pNhl2b169fY926ddizZ88nX2/Pnj2QkZHB1KlT4enpCWdnZ+jo8Gcy0NfXx9OnT6Gm9nkrX3zzzTdYuHAhTE1NP+t8pu1Z93AdIjMjcWP0DYhxxDDOZJzQdb7LKcKOO9E49eQ1CCGY4WAAD8dOUJWrdeIE5gsy0eP3WZWv/R++sPF/+MLG3qZLyO2zGy4pyMmUH9q66MTCFXtcx85cM0teTiZ33v+NvDJt3CA2bY4IiIuJ8eJfv9VcsHy3RXFJmaSivExOD+sur3b/b66fqGNrq0T5MyLSvp7W0rKoo6PToEQR4E8D9Pfff3/yNcrKyvDdd98Jtj09PdG1a1dBsiisAwcONEo9zJcrqygLR18dxTSzaVCUVMRP3X+CJFeyUZ5uzsgvwR6/GBy5H49yHsU4u/aYO8AQ2oofzQHMfMHyY71W1XV8sKNtWqjfgUPNFQ/zn99/mRH8+y8zgiu3lZXky0Lu7D0iypiYj4nqZ4QNDGqA+Ph4uLi44OXLl/D09MSVK1dQUFCAmJgYuLm5YcOGDQAAb29vrFixAsXFxejUqRMOHz4MOTk5rF69Gl5eXigsLESvXr2wd+9eEELg6OiIXr16ISAgAMOHD0dubi7k5OQErYiTJk2CtLQ0Hjx4AAD466+/4OXlhdLSUpw9exadO3fGypUrERcXh5SUFERGRmLLli14+PAh/vnnH7Rr1w5eXl4QFxeHo6MjNm3aBFtbWxw+fBjr16+HtrY2jI2NISkpiR07dsDd3R0uLi4YM2YMgP9aVgFg48aNOHPmDIqLi+Hm5oZVq+r8zmdaodTCVBx+eRjGysYYYjAEHRSEX/4xt6gUB/6Nw8F7ccgvKcNIq3ZYMNAIHVRlGyFihmEYpjmI9DFDQogrIWRfdnZ2vWUTpkxF1gX+ikO0tBQJU6Yi+8oVAACvsBAJU6Yi5zq/R7w8N5e/XbHUXVlmJhKmTEXunbv87bQ0oeIODg7G6dOn8eLFC5w+fRqJiYl4//491q5dCx8fHwQFBcHW1hZbtmwBAMyZMwdPnjzBy5cvUVhYiKtXrwrqysrKgp+fH3788UfBvjFjxsDW1hYnTpxAcHAwpKX5rS9qamoICgqCh4cHNm3aJCgfExODa9eu4fLly5g8eTL69++PFy9eQFpaGteuXasWe0pKClasWIGAgADcunWr2hKCtfH29kZUVBQeP36M4OBgBAYGwt/fX6h7yLQMR0OPYmfwTgCAsbIxbo65iSEGQ4Sut7CkHHv8YtBnw11sux2F3oZquLmgL/4cb8USRYZhmFaGdUN/BicnJ1RO92NqaoqEhARkZWXh1atXcHBwAACUlJSgZ8+eAIC7d+9iw4YNKCgoQEZGBszMzAQPv3zK+syjRo0CANjY2ODChf+mshw6dCjExcVhbm6O8vJyDBnC/8/e3Nz8o7WnHz16BEdHR6irqwuuHxkZWed1vb294e3tjW7dugEA8vLyEBUVhb59G+eJWKZ58SgPHML/PTE2OxaZRZmgFfN3achoCFV3SRkPp568xl93opGWW4x+xupY5GwCc102PRbTfHQ0VYrcvnJgY+takCH9bcNVlRWKRB0H83laTTd0h2OCZalBxMWrbXOkpattc+Xlq22LKStX365IlD6XpOR/g/G5XC7KyspAKcWgQYNw8uTJamWLioowe/ZsPH36FO3bt8fKlStRVPTfz4usbMNbWSqvW3nND/dzOByIi4sLlkLjcDjVylWqbak0MTEx8Hj8efMopSgpKRG8Xrp0KWbNmlXjeUzrEZIWgqX/LsXugbvRQaEDfrX/FeIc4Z9ALivn4cKzN9jmE4U3WYXorq+CnV9bo7uBSiNEzTCfpn07jaLjO372FXUczH8Wzx4XLuoYmM/XarqhWzp7e3sEBAQgOjoaAFBQUIDIyEhBYqimpoa8vLwGPygjLy+P3Nzc+gt+oh49esDX1xfp6emCsY+V9PX1ERgYCAC4fPkySkv5EzAPHjwYhw4dEoxffPPmDVJTUxs9NqZp8CgP2cX8n7F2cu2gKaOJglL+zBfCJoo8HoVXSDKct/pjybnnUJGVwJEZ3XF6lj1LFBmGYb4QrBu6kairq8PT0xMTJ05EcXExAGDt2rUwNjbGzJkzYW5uDn19fdjZ2TWoPnd3d3z33XfVHnBpDNra2li5ciV69uwJbW1tWFtbo7y8HAAwc+ZMjBgxAt27d4eTk5Og1dPZ2RlhYWGCbnU5OTkcP34cGhrCdVkyTY9Sihk3Z0BBQgHbB2yHmrQaDg853Cj13glPxSbvSISl5MBYUw57JttgsJlmrS3XDNNcHgWFKw0Ys3h+fU9fM83HaeySkdqaKlmsxbd1IpRSUccAW1tb+vTp02r7wsLC0KVLFxFF1HZ4enri6dOn2LFjh9B1sc+sZaCU4lX6K5ipmQEAzkaehYyYDIZ1HNYo9d+PeY+NNyPw7HUW9FRksHCQMVwtdcDlsCSxuRFCAimltg0sqziwT7ctl4+sTmzquGryKiJBzuPn7c5xr1PapWfmqrh95eD3YeKwfMMRi+PnfHqnZ+Yqy8tJ541x6Xt/6xqPJ596LZYsAtk5+WKjv1k9LCY+uV1aerZaD+vOz2+f3XCp8vgvvx+y2nbg4ogPzxMX45ZmRV76HQC8/QLVV2061j/u9dt22bn5CvO/cbtcdXqdT8GSxcbh7ReovnDFHpfEN2k68nLSedPGOfuuWzo9pLGvk/o+U8Jt+irZZy+j5wOtaMwiwzAN80/cP/jp359wePBh2GrZYqzx2Eap99nrTGzyjkBAdDq0FKTwu5s5xtrqsrWbmQbJySsQU5CXKZw2ztnv8Kmb/T88fuTMLb3Ne865fTv5q2tjXfvFXPN5pLf94MXhujpqOYs8xkaIIubWrKS0jHC5HN5Y174Pvbwfdvvw+OLZY19OHu0UXXXf19+vH6WiKC8Y/5SZlSuhqaGcNdTJLnTjrrMjmyNupnY5eQXc6fM3Tuqgq5l8eu+v+6/6PDLYduDiCBPD9plTxw5s0om5RZostvQVXNoCd3d3uLu7izoMRkhh6WEo5ZXCQt0CA/QG4Df732ChbtE4dafkYLN3JHzC3kFVVgLLhnXBZPsOkBLnNkr9TNtgb9Mly+vomn8A4MT5270/PH711kNjXR315D9XezwFgF52ppl3A4JNTl/2s2HJ4qdTV1UsvXlyvRcA3A0I6fzhcWUl+TJlJfm8yu3nYbHy0XHJ+tvXzhY8DTp+hOOb8SMc3wDApt3nPmqFZJrX3qNXjbJzCxRO7Fq610BPq3DIALvUgMcvjQ+dvGH7RSeLX9KYRYYRlXJeOX70+xE6sjo4MPgApMSkGmVpvti0PPzpE4Wrz5MhJymGRc7GmO5gAFlJ1iHBNL7S0jKuuBi32vQN4uJiZbGvU3RFFVNbsmXPeStlRbks9/HO8aKOhalZ4PMoHU115VQDPa3Cyn0Wph0TfO8/b5yWgTqwb32GaYXe5L3BmYgzmNdtHrgcLjb32wxd+cb5P/VNViG2+0ThXFASJLgcePTrhG/7doSSjESj1M8wNXHobpZw+96z7vuOXTP4ZtLQuFOXfXVfhscblZSWsX94TYzH48HHP8h6YF/rIA6HDStpqTKz82TlZKUKgp5HKQyeuHTWRLf+fipK8gX5BYUyTX1tliwyTCsU+j4UJ8JOwFnfGWaqZuiiKvyDRam5Rdh1NwZ/P+L3Zkyx74Dv+xtCXV6ynjMZRniLZ48LfxIceX/R6n2TFq7cy1FSkM126G4W4ns/pEEP8DCfb++xax2zcvIV5890a/QHJZhGVLF4grS0ZLmykny2ipJ8YVZ2vlRzXJoli00gNDQUsbGxglVaGEZYpeWl2Bq0FYZKhnAzcsPADgNhrWkNNWk1oevOKijBHr9YHLkfj5JyHsba6GKukxHaKUk3QuQM03Bn9i27XVRccjciOlG2i5Fe3tR5G/oryMk0/oSzTDUnzt+xMemkG9Otq2GOqGNhaqesJJ8fHZ/SrouRXn5kwOF9ADBt3oa+sjLSBU19bTYpdx3k5OQAAMnJyRgzZkyDznn9+jXWrVuHfv361Vt2+fLl8PHxESpG5svGo/wVdcQ4YghND0V8TjwAgEM4QieKecVl2H47Cn3+dxd7/WMwyFQTPgv74Y/RFixRZERGSlKCZ2nWKZfD4eD+k1CzzkZ68aKO6UsWGZsk8zws1mTUsN7PRB0LUzdrc8Pkd2mZGnGv3wq+oJ+/iu1goKeV3NTXZg+4NICOjk6DV17R09PD33//3aCyq1evrnF/eXk5uFz2pGlbdyP+BnY+24lTLqcgKy6L/c77G2VpvqLSchx/mIBdvjHIyC/BIFNN/OhsjM5aCo0QNcPU7srNB1oAUFpWLpaekSN35eYDLR0t1UJbS+NsAPhx5V6bwf1tX3MIoev/OtU7O7dAYem8CQGijbr18vYLVC8qKuEWFhVLcgihV24+0FJWkivp08M8o7LM5t3nrCQkxEvmf+P20RPnefmF3Dv3gtUBgFJKklLSFK/cfKBlqK+TZ2rSIe/D8kzT+m6aa9S2/RdzJs1e77pi0ZS7V289MoiKSzbYuX6uZ1Nfm3VDN0B8fDxcXFzw8uVLeHp64sqVKygoKEBMTAzc3NywYcMGAIC3tzdWrFiB4uJidOrUCYcPH4acnBxWr14NLy8vFBYWolevXti7dy8IIXB3d4eLiwvGjBkDfX19zJgxA97e3pgzZw7s7Ozw/fffIy0tDTIyMti/fz86d/5o9gPmC1NcXoxyXjlkxGXQTrYd9BT0kFuSC1lxWaETxdJyHs48TcRft6PxNqcIfYzU8KOzCazaKzVS9AxTt4kevwsWmPd/+MLG/+ELG3ubLiGVk0U/CgrvePjUzUHlPB63vY568t4N84849e72XnQRt27T52+clJWTr1i5PdHjd+NOHbQTnt/d51m578bdp9a9bE2fy8lKl394fmhEgnzVz+z8tXuO56/dc6xpQnWm6SnIyZQf2rroxMIVe1zHzlwzS15OJnfe/428Mm3coCadNgdoRcnixc1B6NxTG116aaO8nIcrW4Nh2lsHJj20UFpSjqt/haBrv3YwstVEcWEZru96DosBuujUTQOFeSW4sfclrAbpwcBCDfnZxZBV/PxB+8HBwXj27BkkJSVhYmKCuXPnQlpaGmvXroWPjw9kZWXxv//9D1u2bMHy5csxZ84cLF++HAAwZcoUXL16tcbxjFJSUrh37x4AwMnJCXv27IGRkREePXqE2bNn486dO58dM9PyFZQWwO2yG4YaDMUCmwUwVzfHTqedQtdbzqO4EvIGf96KwuuMAth0UMaf463Qs5NqI0TNMA1X34oq9678ebau48yneRN8amt9ZRKeHq91+a4e1p2z2vIqOC3RYEfbtFC/A4ea+7qtJllsSZycnKCoyP9lzdTUFAkJCcjKysKrV6/g4OAAACgpKRGspXz37l1s2LABBQUFyMjIgJmZWY3J4vjx4wEAeXl5uH//PsaO/W/ljcr1ppkvSzmvHOGZ4TBTNYOMuAxGGY1CN42PFlv4LJRS3Ax9i83ekYhKzYOZjgIOu9vB0USdrd/MMAzDNFirSRbdfrQWvOZyOdW2xSW41bYlpcWqbUvLSVTbFqZVEQAkJf87n8vloqysDJRSDBo0CCdPnqxWtqioCLNnz8bTp0/Rvn17rFy5EkVFRTXWKysrC4A/55WSkhKCgz9rCU6mFdkVsguHXx7G9VHXoSWrhVmWs+o/qR6UUvhHvcemmxF48SYbndRlsfNrawztqgUOW7+ZYRiG+URs9s1GYm9vj4CAAERH85faLCgoQGRkpCAxVFNTQ15eXoMelFFQUICBgQHOnuX3yFBKERLCpr/6ElBKEfAmAIk5iQCAMUZj8Hvv36Eho9Eo9T+Oy8D4vQ8x7dBjZBaUYNNYS9xc0BfDLLRZosi0GTqaKkVuXzn4iToO5j9D+tuGD3Cwihd1HMznYWtDNxJ1dXV4enpi4sSJgi7jtWvXwtjYGDNnzoS5uTn09fVhZ2fXoPpOnDgBDw8PrF27FqWlpZgwYQIsLS2b8i0wzSC7OBs/+P4AN0M3LO2xFNpy2tCW0xa63hdJ2djoHQH/yDSoy0tizQgzjLfTg4QY+32QaXvat9MoYg9gtCyLZ48LF3UMzOcjlFJRxwBbW1v69OnTavvCwsLQpYvwq1IwzYd9ZjV7lf4KAW8CMNOCP0NUSFoIuqh0gQRX+FXMot7lYrN3JG6EvoWSjDg8+nXC1J76kJZgUy+1BYSQQEppg1Y4IYQoDuzTbcvlI6sTmzouUXsUFK40YMzi+ezhjJbDaeySkdqaKlksiW8dUt9nSrhNXyX77GX0fKAVjVlkmNbKP8kfJ8JOYIzxGChLKcNSXfgW4tfpBdjqE4mLwW8gKyGG+U5G+L8+BlCQEn4eRoZpCj8s32175eYDu/SsXGUxLqesUwedxD+W/Z93fwerdACYPOcPx4vXAz5azUBDTSkt7vGxXc0fcevn7Reo/svvh5xj4pP1CCG0fTv15JDbe49WHs/JK+DOWLBpQMDjUPP8wiIZFSX5zNVL3L2mjh0omIply97zxnuOeDm+TcvUkJKUKOrvYPns9N5lt0Xzjhhvv0D1hSv2uCS+SdORl5POmzbO2Xfd0ulNPk6NJYsM08gyizKx4ckGjDIaBTstO0w1nYrJXSZDTkJO6LrfZhfhrztROP0kEVwOwcw+HfFdv05QkRW+lZJhmpK2pkregm9H3bLq2imjsKiEu3rzccfJ3/8xJe7xsW0SEuJ0y8pZ93+ZO7FaF9PQSb+497Q1DRNVzDwc73AAACAASURBVK1ZRHSi7KTZ6907G+nFHdiy8IiGmlKR/8MXWlXLjJy2YnhETGKHRbPHXnOwM3sXEZOk0E5bVbB03N6jVzuu2Hh0/KivHPymjBl4oZzHI9FxyWz2fhHJySvgTp+/cVIHXc3k03t/3X/V55HBtgMXR5gYts+smuA3hRadLNKKRbOZlq8lDGcQNR7lgUM4kBaTxov3L2CjaQM7LTvIiMsIXXdGfgl2+0bj6IME8CjFxO56mDPAEJoKzbKGPMMIbcn346uNWSsrK/cbO3ONx/2nr1Qce1mma6gpl2ioKZdUHj9zxa/d+4wc1Xn/N5ItQ/cZ1mw9YSctJVl099zG82JiXAoAVVdueRgYpvToWbjFrj/mHa6c1NnepktW1Tp2Hr7S196mc8iR7Uv8K/cNdkRac70Hprq9R68aZecWKJzYtXSvgZ5W4ZABdqkBj18aHzp5w7bNJotSUlJIT0+HqqoqSxhbOEop0tPTISXVdhOXgy8OwjfRF0eHHoWUmBQujbgEMY7wP145RaU48G8cDv4bi8LScrh108WCgUZoryJ8AsowopKWni2+54iXjZyMVL55F4Ocmsoc/Psfa0N9nfgPEximYZ6Hxup3MdaLdx7/88iX4fGGioqyOdPGDbq3bMGkUAC4cvOBvqSkeHFEdKKKrvXXI0Ep6WZuGOm5bbGPqrJCaUFhMScu8V37nramkeb9v3V/l5appq2pkrr25+k3XQfZvxP1+2uLAp9H6WiqK6ca6GkVVu6zMO2Y4Hv/uUVTX7vFJou6urpISkpCWhr7JaY1kJKSgq6urqjDaFbZxdmQE5cDl8OFpqwm9BX1UVhWCBlxGaETxcKScnjej8cevxhkF5biK3MtLBxkDEMN+UaKnmGa3/XbjzW+nv3/7N13VBTX2wfw72wvLLD0jiBFBEQBRUBRRBELChYsaNSo0dg19sQYjb13BXvvDdEoFsTeCzYUpEjvdSnb5v2DQNRXf5oALur9nOM57MydO88swj7M3PvchcNkMjlbR0s990DIr9u1xeqy99tl5eRz7jx86TBuWGC4KuL8FhQWS9RS0nMM2rg3ebh5+cTd4edvN1y45kAv24am+b39vdIysvPVlEqacST8Sov504eckJSWs+et3Ntt0LglVPjueWfik9IFSqWScfzMdc/BfX0vurs2Tl8Vesxj2KQVA55Ehqx9+y4w8WXkF5YI1YS80gfRseod+80Y0S/QO0pLU1QqKS2r87sH9TZZZLPZsLCwUHUYBPFBCYUJCD4djBluM+Df0B9dLbuiq2XXGvdbIVfgwJ1krIuMQ3ZxBbxtdfGLry0cjDU+fTBB1HNeLR1zT+2auykpOVO4duvJVqNnrOt+56+1O99fl3jphsMOFIOiJwwPJOMV/yOapimhgFd6dOvv5xgMBrr7eWRcvf3Ebs/Ri016+3ulKZVKSiaTs3+dEHy26jF0bHzK1Z2Hz7cHcEahUFAA4ORg+XLJrOEPAMDdxe6UtcfgaTsPnbckpXBU4O+heXw+VyHWFBVqaYrKCgolX+SRXp0UYaMoSkhR1H2Komr+6UkQ9US5vBwv814CAMzVzRFgHYBGWo1qpW+5QolD95LRblkUZoc9g6WOEEdGumP7kBYkUSS+GWpCvqK1m2PegF7tk88fXnwoLSPHYNXmY//vhygs4pZLS2e7J2JNkVwVcX4LhAJ+qZ6OZi6D8c/HvJ6OZn5OXqEIALTF6qUA0KKZbW7VfisL4/yKChk3O7eQbWasVwYA5ib61fsN9LSkAj6vNCU9hzziUAGxpkhSXFImsLM2k7y6vj30j8k/PMkvLOYLBfzSTx9dM5+VLFIUtY2iqCyKop6+t92PoqiXFEXFURQ1/a1d0wAcqs1ACULVZl6biVEXRkGqkIJBMTC1+VRYi61r1KdSSSM8Og2+q65g6pFoaKtxsHtoCxz4qSVcG2jVUuQEUf+wmJWTLiSS8nfqPZ06f0s/JS3baEjfjmRiSw1YmBlk5OQVit/elpNXpKGjpVEMAG7OjTIA4OHTuOo2ickZGlwuu0JXW0Mm1hTJdbU1clLScqr35+YXsUvLKgQmhjrFX+o6iH84O1qlZWbn6yW8yeBXbYt+Hm9uYWaQVtfn/tw7izsA+L29gaIoJoD1ADoBaAygH0VRjSmKag/gOQAyAJb4qimUCpx6fQoSmQQAMNRhKBZ5LaqVYto0TeNSTCa6rr2GMfsegsWgEDLQBSdHe6K1tS6Z1PUdoGkatFKp6jC+mO6DZ/ut3x7W8Mbd5+KwczcNOvWfGUgxGHTPrq0T3m4XsivcRV9XnNXb36vOPwC/ZUP7+z3MzS/WCh69qO3V20+0Js3e5JqUkmka3KPdEwDo1bV1qqGeVuafK/Z2DDt302Df8UsmB09e9nR3aRxd1Ucnnxb3b95/7jRv1V77KzejtfqPWugn4HHKBvZqH6+6K/t+jRzkH6shEhQFj1rof+7yPd2xv65vEZuQZjGkb8d7nz66Zj5rzCJN01coimrw3uYWAOJomo4HAIqiDgDoDkANgBCVCWQZRVFnaJr+fn4jEt+Ml/kvMfPaTPzm9hv6NOoDex37Wun35utcLIt4iftJ+TDTEmBlHyd0czIGk6zd/N2QJibizY9Dof/rTIh8fFQdzhdRVlbBWbBmf9fiklIRh82Smhrppm9cNHa3q5NNYVWb/IJi1s17LxyDurch6zrXUM8urdNexL45unnPX96nIm620har500b0+doULc2qQDAYDCwf9PM/aOmr+nyw9jFP3K5nAqXJtYx21f9cqGqj/ULxtwqLCzhr9160m/ZxiNcE0Od9NBlE/cY6GmRyS0qoK4mUGxbNXnvpNmb/HsP/3OESE1QPG5oQFjVmNO6VJMJLsYA3l42KgWAG03TYwCAoqjBAHI+lihSFPUTgJ8AwMzMrAZhEETtoGka11KvIV2SjiDbIDTWboydfjvRVK9prfT/KLkAy869xLW4HBio87Ag0BG9XU3AZpL1m791tFSKlImTIHR3h9aAYLCNjMBzagKm+vdT3zji4KKwT7URa4rkuS+OLv4S8XwPfpsQ/KyqVM6HNG9qW3j37Pp9H9vPYDCwb+PMSACRdRIg8a91bOua/Sxqy7Yvfd6aJIsfug1SXZmZpukd/+tgmqZDKYpKB+DP4XBcahAHQdSaU/GnEFcQh57WPcFkMOGs71zjPmMyirA84hXOP8+ElpCD37rYYUBLc/DYZP3mb1nujh2gK6TQGfETKA4HUCor/wGgOByYrFyp4ggJgiA+T02SxRQApm+9NgHwr8aY0DR9CsApV1fX4TWIgyD+s8TCRCy9txSzWs6CgdAAM1vMhJAtBJNR80QuMUeCVRde4eTjNKhxWJjUwQY/trKAGrfeVqwiaqD07l2UPX4M7WHDAADl0U+glFZU7zfdSJY3Jgji61STT627AKwpirIAkAqgL4D+/6YDiqL8AfhbWVnVIAyC+PcUSgWYDCa4TC5i8mIQXxgPA6EBNHmaNe47raAMay/F4tC9FLCZFEZ4NcTINpbQFJD1m78l8uxslERFQaNHD1AMBkpu3ED+vv0QBweDwefDaOkSUExy91gVjPS1ygM7e5Jxj/WIn7drjLZYvVzVcRD/DfU5a/pSFLUfQFsAOqic5TybpumtFEV1BrAKABPANpqm5/+XIFxdXel79+p8Mg9BAAD+uPEHpAopFrReAACQK+W1sjRfTkkFNkS+xp7bSaBpGv1bmGG0txX0yPrN3wRaqUT506fgWFiAKRKhMCwMaVOnocHRI+Db20NRUgIGh1P5yPkLoSjqPk3Trp/ZVqN962YrTu6cm/zp1gRBfM+ycvI5gUPmCB8+jRsPfP5s6H4f2X4GwJlajI8g6kR+eT7EvMpyYQZCA0gVUtB/V8OvaaJYWCbD5ivx2HY9AeUyBXo6m2CcD1m/+VuglEhAy2Rgamqi/NkzJAb1gdGSxdDo1g1q7drB8nQ4OJaWAACmmpqKoyUIgqgbKp2GSVGUP0VRoYWFhZ9uTBD/0fXU62h/uD2e5lTWlB/pNBLjnMfVuJZhqVSODZfj4LUkEusi4+DdSA8RE9tgaW8nkih+xWhpZVUQZWkpXrVqjbxduwAAPHt7GC1fBjUvLwCVySG3YUNSE7Meuv0gRlNo6T9b1XEQ//DpPTVgwJhFbVUdB/HfqHSkPZngQtSVgvICFEoLYa5ujqZ6TdHLphd0+Dq10neFXIH9t99gXeRr5JSQ9Zu/JW+GDQdTXQTjFSvAEAigN3Ei+M0qSydRDAY0unRRcYRfL+OmfScUFEn+3w9JcI9250OXTbwBAD9OXN7q5r3ntqkZOYYiIb8k9dGBVV8+0vqvvELK6PfzgvYPomNtCookGkIBT9LSxe755mUTI7XF6rL32y9Zf7DRnOV7+nh7Ot0N3z2v+mngniMXTBesOdAhLTPXgMtmSR3tLGK3r5p8ztRYrxyoTPBu3X/h9HZfHb1dbx7bOjui7q+S+JCIqPu6k2Zv6pqcmm0kUuOXDAryvTx/xpDHdX1elSaLZIILURdomsags4Mg5omxw28HhGwhZrjNqHG/coUSxx6kYvXFWKQWlMHNQgubBjiTZfm+Yrlbt0Jy8xbMtmwGAAg9PMDg/zPGVOuHgaoK7ZsTeWxZqFymqH6aden6I4Np87YEDwrq8KJqW3l5Bbutp9Oz+KT0rKcvEhqqJtL6r7ikjJmYnKn/8yD/ix6ujTNj4pI1/li2O6DvyPm88wcXv1PP8vnLJLX120+119PRzH57e1pGLnfcrA3Bbs0aPd28bMLxpNQs4fR5WwMHT1jmd/HwkhNV7WwsjeP3rp9xvOq1llhECnKrSFFJKXPI+KXB5ib6aQdDft0cfuG2xeotx7vbWpnm/9C7fZ0W5iZ3FolvQpm8DGcTziLAKgAURWFq86nQE+jVSt9KJY0zT9OxIuIV4nMkaGKigUU9HdHKSoc8gvzKSG7dRv7ePTBesQIUmw2KzwdTXR20TAaKzYb2j0NUHeI3y8bSpPTt15Pnhto2NDdM8mzhkF+17e8C0BgxZZUHSRY/TldbQ/bw/MbdVa+93JvkPXwad+tQ2BUvAO8kiz+MW9J9cB/fqONnrr1Tz/jm/efaFRUy7typg642b2pb6Ankn7l458mNu8/t3m7HYrEUjW3NS+r0gojPErIr3LqwuFR974YZIRZmBmV+7ZpnXb/z1Gbb/rOudZ0skqUjiG/CxTcX8fuN33E/8z4AwNPYE9Zi6xr1WbV+c5eq9ZuZZP3mr40sMxNZq1dDllm5VL1SUoLyV68gS08HAGj17w/jFctBsdmqDPO7k5tfxL714IVjt47uD1Udy7ciJ69IyOdx3ilNM2HWxuYURdFzpvzw5P32rd0ccoQCniRk92kHqVRGxSWkCe4/fmXl2sQ69u128UnppnoOvSebuw4Y03Po3A65+UXkh0VF7kfHGunrirMszAzKqrY1aWyZlPAmw6iuz00eQxNfJSWtRNjrMGhwNOBt5o1ODTrBRM2k1pbmI+s3f51oqRQlV6+CY2YGrrU1lCUlyA0JBc/ODmxfX6h5e0OtXTuS6KvY8o1H7EEDE0f0fK7qWL4F0S/iRZHXHzkH9/SpXpYv8voj7QMnIr3OHVgY+qFj9HTE0n0bZuz4ceLyflp2PX1omqbcnBs9PhDya/Xa0N6eTrEBfh5PGzYwKrp1/4VByO7THXr8OEc96vjyo1/iuoh35ReWCNWEvNIH0bHqHfvNGNEv0DtKS1NUKiktq/MZleQxNPHV2vdiH0xFpvA28waTwayVRPFxcgGWRbzE1dgc6KtzMT/QAUGupmT95npMlpkJZXExuFZWoOVypE6cBHFwMPSnTQXH0hI2N2+AqVE5r4JikO9jfXDi7A3nFs0aPf3QZAzi38nKyef0Hj6vr71tg7jVf466CwByuYIaOXV1jx+COkQ62Tcs/tBxhUUS1thf13d3aNQgfsTALvdTM3KFS9Yf9OszYn77w5tnXQAq15auat/Zp0WWmpAnnbN8T59X8Sl/vT+sgPgC/i73xudzFWJNUaGWpqisoFDyRQr5knXHiK/Gg8wH2PJkC1Z6rwSXycXG9huhxaudySUvM4qxPOIlIp5nQixg49fOdhjoTtZvro9omoY8OxtsvcoxqUk//ABOgwYwCwkBQyBAg4MHwG1YOdyNoqjqRJGoHyKi7usmpWSazv5lwDlVx/K1yy8oZrUPmt5PXU0g+WvfgupJKemZudyU9ByjTbvC9TftCu8MAAqFkhn/JsNMx76XQ86zI0sWrzvokJtXpPUkMnQbi8WkAaC8Qnr+9yU7++YXFF8Wa4rk75+vXatm6XOW78HjZ/GaJFn88sSaIklcYrqxnbWZ5NX17aEAMGjcEi+hgF/n3wuSLBL1XtXSfApagcSiRKQWp8JS0xLafO0a952UK8GqC7E48SgVQg4LE9vb4MdWDSDikWE59Qktl4NiVf66Sps2DWWPHqPhubOgKAqGf/wBlq5udVuend3HuiHqgQ3bw5z1dDSz+3Rvm6rqWL5mRSWlzPZB0/oyGZTywqHFhwR8rrJqn6G+dkXYrrnr324/avraQEM9rdw/Jg+MAoCCIgkPFGgGg6pexo3NYippmqYkZRXMDyWLdx6+1AEAJ3vLgrq7MuJjnB2t0sLP326V8CaDXzVuMfp5vLmFmUFaXZ+bjFkk6q0KRQVGXxyNFgYt8FOTn9DcoDnCAsJqZWm+jMJyrL0Ui4N3k8FiUvjJyxIjvRpCLCTrN9c3BUePImvpMlhdugiGQACNbt0hbOkOKJUAkwmhu7uqQyQ+U1FJKfPa3WdOvbq0vvqh/fcev9JIy8jlZ+UUiBQKJTPs3E0DAOjW0T3jy0Zav5WWVTDa954aVFgsEe5ZN/1ganoOLzU9BwBgZWEk4XDYtE+rZjlvH8Nls2RqQl55Ww+nXADo2sEtfveRCx16DpvrO3F4j3vpWXn8tVtPtLM0N0wyMdSpyMrJ5wyfvKpd766tn1lbmhTfeRijs3TDoU7OTayfkbuKqjFykH/s6s3Hi4JHLfSfPXlgZPj52xaxCWkW6xeO3VHX5yZjFol6J688D1o8LXCZXJiombzzqLmmiWKeRIqNl+Ow62YSlDSNfi3MMKadFfTJ+s31Rvnz58iY+ycM588Dt2FDcCwtod65E5RlZWAIBFBr5anqEIn/aGXIUbuKChl34k89oj+0f9q8Ld5vF4Hu9/OCEQAgiT8150vF+DV48iJB/dnLJBsA8Ok9dfzb+y4dWbrazbnRJ+/8dfZpkfXntEEHNu4Mb9tt8GxXLpslbWxr/nr9grHnAYDNYikT32ToT/h9Y5MKqZyrIRIUuTnbPd+4eGxU3VwV8SnqagLFtlWT906avcm/9/A/R4jUBMXjhgaEDQrqUKdlcwCAomn6063qmKurK33v3j1Vh0HUA3tf7MWaB2twpseZWnnMXKW4XIYtVxOw9VoCSqVyBDQzxsT2NmRZvnpAUVSE7LXrIGrnDaG7O2QZGUgZMxb6M2dC4NxM1eHVaxRF3adp2vUz22q0b91sxcmdc5PrOi5Vu/0gRrNdrynjSZJZf/j0nhpgqK9VsGfd9MuqjoX4tKycfE7gkDnCh0/jxgNkzCJRD6SWpILL5EKHrwNPI0/kluWCw6ydx8HlMgV23UzExsuvkV8qQycHA0zqYANrfVGt9E/8ezRNo+j0GTCEAoi8vcHg81H011/gmJpA6O4OtoEBLI4cVnWYBEEQxN9IskioVIm0BD1O9kBXy66Y5T4LDTQaYJzzuBr3K5UrceheMtZeikVmUQXa2Ohisq8tHE3IzFhVkCYnQ5acDKGHByiKQu6WLWAbGkLk7Q2KzYb15cjqCSwEQRBE/UImuBBfXH55Pm6k3UAXyy5Q46hhjuccNNWtnWLaCiWNk49SsepCLN7klaJ5AzHW9G0GN8vae6RNfBqtVKIiLg48GxsAQNaKFSi9dw/WUVGgGAyYhoSApatT3Z4kikRtMtLXKg/s7EnG1tUjft6uMdpi9fJPtyTqIzLBhfjidj/fje1Pt6O5QXPoCfTg18Cvxn3SNI1zzzKxPOIlYrNKYG+kju1DmqOtDVmW70tRlpWB4nJBMRjIDQlB9tp1sL5+DSyxGLpjxlSuxfx3UWy2fu2s200QH2JqrFdOxsbVL1NGBcWoOgbivyN/zhN1rlxejn0x++Bm6AZ7bXsMsh+ELpZdoCeoecJA0zSuxeVg2bmXeJxSCEtdIdb3d0YnBwMwyNJ8X4zk1i0kjxgJ8z27wXd0hMjPD2xTMzB4lbPMq4pkEwRBEF8fsvYVUefkSjm2P92OqOTKp0IaXA001Kx58nA/KQ/9Nt/CwK13kFMixdJeTRAxwQtdmhiSRLGOyXNykNinLwpPhQMAuLa20OzdG0xR5cQhroUFNLp2AYPPV2WYxHfq9oMYTaGl/2xVx0H8w6f31IABYxa1VXUcxH9D7iwSdeJc4jlcenMJi1ovghpHDce7H4cOX+fTB36G52lFWB7xEhdjsqCjxsWcbvbo28IUXBZZmq+u0DSNrCVLwTY2htaAYDC1tMDQUAfFrZy1zhKLYfDbryqOklClpRsONdp/PNI1KSXLuLxCynu/3t/E3ze6hp272Ty3oFjMYjLkDc2Nkhf9NjTC27NpblWb5ZuO2G7ceaptdm6hjoDHLWvpYvds97ppF9SEfIVqrqr+unzjsfaUuaEd45MyTGnQVBM7y1c710w5Y26i///GBS5Zf7DRnOV7+nh7Ot0N3z3vTNX2DyXUR7f8vtGvXfMsABgwZlHbq7eeOhQUlWhwOewKO2uz+PULx0Y4NGpQUrdXR3xMRNR93UmzN3VNTs02EqnxSwYF+V6eP2PI47o+L0kWiVqjpJWgQIGiKOSX5yO5OBlF0iJocDVqJVFMyJFgxflXOPU4Deo8Fqb62WKwRwMIOOS/cV0oiYqCNCUFWsHBoCgKFS9fglZUrgBGMRgwCw1VcYREfVJQKOHa2zZIdnNu9HrX4Qu+7+831NcqmfBTj/NNHRrmlZVLmXOX72k7YPSigQl3dq/mcNj01dtPtP5YtjsosJPHlVGDuz1+/Oy11m+Ld/QcOW11BRl/+K7yCilj0Lil/fR1NXP3b5q5Lb+gmDNz4Xb/viPmd795es3Bt9s+f5mktn77qfZ6OprZH+pr9JBupwYH+b6qem3ZwLB6dZYGJvr5bSY0Oe1oZ5GfmZ3Pm7VkZ8c+I+YFPYvasq3uro74mKKSUuaQ8UuDzU300w6G/Lo5/MJti9Vbjne3tTLN/6F3+zotzE0+ZYlakSHJwKiLozDaaTR8zH3Q26Y3+tj2qZXJJWkFZVhzMRaH76eAy2JgjLcVhntZQoNP1m+uTbLMLJTevQuNrl0AAEXnz6P09h2I+/cHRVEw3bqFTBYiPqrq7sbR01eNdh2+8P/2Tx3d550JDnK5Iqr38D9/vnHvuVZbD6fcq7efGtA0TW1bOfkKi8WkW7rYFRw6dSX21esUwy90CV+Na7efauXkFWpvXj7xoG8bl2wASM3IvTRr8Y5+L+OShbZWppKqtj+MW9J9cB/fqONnrrl8qC9NDbXyxrbmH7xTOG/6u3esXiel35y1eEe/wiIJS0Nd+P/WjibqVsiucOvC4lL1vRtmhFiYGZT5tWuedf3OU5tt+8+61nWyqNIxixRF+VMUFVpYWKjKMIj/iKZp5JXnAQB0+DowEhpVF9NmMpg1TixySiow99RztF16GccepGJgS3NETfHG5I62JFGsBTRNozwmBrRMBgAoOhWGtMmTIcvMBADoT5mChn+dqf4+kkSRqC3ZuYXsTTtPuagJeBJHO4siAOjg5ZzKZDAU81fvs1cqlbj3+JXGy7hk81YtHGJVHW99U1YhZQKAkM+tTtj4PI4cAC5df6RftW3CrI3NKYqi50z54cnH+lq75YSfrn2vKXathw5duuFQo4+1S3iTwT96+qqTvq44iySKqnE/OtZIX1ecZWFmUFa1rUljy6SENxlGdX1uUjqH+M/m356P66nXERYYBjaDjXU+62ql36JyGbZcicfWawkokynQy8UE43ysYSImS/PVFC2TgVYowODxUBIVhZSRP8Ns+zYI3d2hERAAtXbtwNav/KxhapAC5kTtOnPxjl7/UQuHyWRyto6Weu6BkF+3a4vVZQDQvKlt4fqFY3b9Mic0aNnGw4FKJc3o5ut+dcWckWQt2Pd4uTnmqgl4kvmr93vs3zjzXF5BMXvL3r88ACAzO18IAJHXH2kfOBHpde7Awo+OF+nTve1F3zbOiWw2S7nvWKT9H8t29xEK+HtGDfZ/XdVmZegxmznLd/eSyeRsM2Pd1PBdf+6u+yskPiS/sESoJuSVPoiOVe/Yb8aIfoHeUVqaolJJaVmdfziS2dDEv/Ii9wUqFBUAAB8zHwxoPKDW+i6TKrAp6jVaL47EmktxaNtID+cntcGSXk4kUawFsqwsvPLwROHx4wAAoZsbDP6cC26jypsJLB0dcC0tVRki8Y3zaumYe2rX3E0hS8ZvM9DVyh09Y133EkkZEwBexL4R/rpoR3ffNi739m2cGTr7lwEHI288ajph1sbmqo67vtFQF8rnz/zxyOPn8VbGzfrNbOozclJTh4aJAMBgMGi5XEGNnLq6xw9BHSKd7BsWf6yfbSt/udY3wDulZ5fWaUe3/n7eoVGDl9sPnHV7u82Anj4JYTvmbFo5Z+QuimIoh09Z2amOL4/4GJoGRVHg87kKsaaoUEtTVEbT+CKPfMiYReKzxebHIig8CNNbTEewXTDcjdzhbuRe436lciUO3n2DNZfikF1cgba2lUvzORiTO1s1QdM0UsaMBdfSAnq//AKWri40g3qDa1uZHDL4fIh791ZxlMT3RE3IV7R2c8xr7eaY183P45CZc/9pqzYfa/TbhOBn81fva87lsqW7102LAgD/kBmF0gAAIABJREFUDi0zk9Ny1A+cjGy96s+f76o69vpmWP9OicP6d1r9Mi5ZKNZUk8XEJqsdOHHZx8xYrzg9M5ebkp5jtGlXuP6mXeGdAUChUDLj32SY6dj3csh5dmTJh/q0bWiSfvX2U/u3t+lqa8h03Zvkebk3yXN1ssltHTBp4qGwKOOgbm1Sv8R1Ev8Qa4okcYnpxnbWZpJX17eHAsCgcUu8hAJ+6aeOrSmSLBL/U3JxMl4XvEZb07awFltjrsdctDdvXyt9Vy3Nt/LCKyTnlaFFAy1sCHZG8wZatdL/9yj/wEFIExOhP30aKIoCW18PTE0xgMoxh/pTpqg4QoKoxGIyaQCQSMrZAFBcUsajKIp+tw1DKZMryADl/6FqMsvkOaGOHDZL6u/bMk1DJJSH7Zq7/u12o6avDTTU08r9Y/LAjy6DmJSSpaOjpV7wsf0sduX3rKiklHxPVMDZ0Sot/PztVglvMvhV4xajn8ebW5gZpNX1uUmySPxPy+8tR3R2NDyNPcFmsBFoHVjjPj+0NN+OIQ5oQ5bm+9fKX7xA8aVL0Bk1ChRFQZqYiPLnz0ErlaAYDBj8/ruqQyS+EwlvMvhPXiRoPHmRoA0Atx+80M3Mzue1dGmUp6cjlnYfPNvPt41LbDMHq7ycvELu8k1HPCkGg+7ZtXUCAHTwco67cOWB24gpqzwGBfm+eB6bpHH41BVPp8aWL1V7ZfXTum0nrdSEfJm9rXnB8TPXLcLO3fTs1tH9etUYUJ9WzXLebs9ls2RqQl55Ww+nXKCypmVKWraoQxuXNwI+V7Hv2CXb+9Gx9gtn/rgPALJy8jnDflnZLsDPI8betkFBYnKGcNG6g+3URYKibr4t6zw5If6/kYP8Y1dvPl4UPGqh/+zJAyPDz9+2iE1Is1i/cOyOuj43SRaJd+SX52P70+0YZD8I2nxtTHadDA6TAzajdv6QvBabg6XnYsjSfP+RsrQUJdeuQa1VKzAEApQ9eoTckFBo9ugBtqEh9KZOqV5/mSC+pM17ztiu3nK8e9XrGQu29QeAtfNH7/yxn19iWVkFZ8Ga/V2LS0pFHDZLamqkm75x0djdrk42hQAw5sfucWkZuScPnLzsfuDkZW8Bj1vm4mQds2X5pP9fh4dAdm4hf/7qff4lknI1DXVhYVC3Npc3LRl/43OP57BZihNnb7TYfjDCFwD0dTSzZ00MPjx2aEAcAHA5HGVObqH6rwu395CUlQt4XE55Q3PD5N1rp+3W0xFL6+q6iI9TVxMotq2avHfS7E3+vYf/OUKkJigeNzQgbFBQhzotmwMAFE3Tn25Vx1xdXel798iEt/ogsTARPcJ6YH6r+ehkUXvjmB+8yceycy9x43UujDR4mNDeBj2cjcFiksTmU+S5uaCYTDA1NSG5dQtvBg+Byfp1EPn4QCmpLKfGEApVHCWhChRF3adp2vUz22q0b91sxcmdc5PrOi5Vu/0gRrNdrynjJfGn5qg6FqKST++pAYb6WgWkwPrXISsnnxM4ZI7w4dO48QC5s0gA2PlsJ3LLczHJZRIaaDTA+V7noc3XrpW+YzKKsOzcK1x4kQltIQez/Rujv5sZWZrvE5RSKRgcDuS5uYht7QW9SROhPWwYBC4uMNuxAwLXyvq6JEkkCIIg6lqtJ4sURdkBGA9AB8BFmqY31vY5iJpTKBVgMioTttSSVGSXZkNJK8GgGLWSKCblSrDy/CucfJwGNQ4Lk31tMMTTAkIu+fvkf6FpGkl9+4FjbQWjefPA0taGwazfIHCrrGZBsdkQtnT7RC8EQRAEUXs+65OboqhtALoCyKJp2uGt7X4AVgNgAthC0/QimqZfABhJURQDwOY6iJmooejsaEyJmoL1PuthJbbCtObTqhPHmsooLMfaS7E4eDcZLCaFEV4NMbKNJTQFnFrp/1uUs3kzyp8/h8nKlaAoCmre3mDp6VXvF/frp8LoCOLrY6SvVR7Y2fOjs36JL8/P2zVGW6xeruo4iP/mc2/z7ACwDsCuqg0URTEBrAfQAUAKgLsURYXRNP2coqhuAKb/fQxRDyiUChRJiyDmiWEmMoO5ujlkyspl3mojUcyXSLEx6jV23kiEQkmjXwszjG1nBT11Xo37/taUPniAwhMnYfDH7H8mo9AArVCAYjKhM3KEagMkvpikp7kwd6idIR/EP0yN9crJ2Lj6ZcqooJhPtyLqq8+aXUDT9BUAee9tbgEgjqbpeJqmpQAOAOj+d/swmqY9AAR/rE+Kon6iKOoeRVH3srOz/1v0xGehaRrDIoZhxrUZAABNniZCfUNhp21X475LKuRYfSEWrZdEYvPVeHRpYohLv7TFnwEOJFH8m6KgAPkHD0FRUFm+TJaaiuILFyBLSwcA6AwfDpNVK0ExyTjOb93N468RseVp9WtJYYUKo/l23X4Qoym09J+t6jiIf/j0nhowYMyitqqOg/hvajKAzBjA27PqUgC4URTVFkAPAFwAZz52ME3ToQBCgcrZ0DWIg/gAmqbxOPsxnHSdQFEUAq0DwWFyQP+9XFBNlcsU2HMrCRsuv0aeRArfxvqY3NEWNvqiWoj+6ydNTATF54Otrw9pcjIyZs8GU10E9U6doO7nB/XOnUly+B14GpWCl7cz0WOKc2WRdC4TbP4/v3YbexqpMLrak5SSyRs5dXX76BcJDUtKytTURYJin9bNHm5ZPukai8Ws/v2+9+hF04VrD7RPTss2YrOYMif7hq8uHl5yomr/8k1HbDfuPNU2O7dQR8DjlrV0sXu2e920C2pCvkI1V6YakdcfaY+ftbFrRmaeXoVMxtERq+cF9/S5PnfqoOiqNk28fxr8Oind/O3jhvb3+2vNvNF3PrYfANp6ON09vWfemZkLtjV9u9RRFTaLKSt4dWIBACSnZvF+nLTcN/pZvE2FTM4x0tfKnD623/kferev81ItxIdFRN3XnTR7U9fk1GwjkRq/ZFCQ7+X5M4Y8ruvz1iRZ/FDGQdM0fRnA5c/qgKL8AfhbWVnVIAziQyKSIjA5ajJCOoTAw8gD3Rp2q5V+5QoljtxPweqLsUgvLEcrKx1M7miLpqaatdL/14qmaShLSsAUiaAoLMTrLl2h/dNw6I0fD569PSzCToJrbQ2gcpIK8W1KiM7BrROv0XOKCzh8Ftg8FoQaHMilSrC5TLh2bqDqEOtEXGKaWlFJKX/a6KAzLk2sc27ef6G3YM3+wKGTllM710y9AgDnLt/THTVj7Q9tWjo+WPzbsDMCPld+PzpWp6qPq7efaP2xbHdQYCePK6MGd3v8+Nlrrd8W7+g5ctrqiu/tkTKHzVJ2atc82qulY5qOlkbFsTPXLFaGHu1uqK9V8vMg//iqdu6ujR+t+XPUxarX+nri6lvVJ3fOPVhWVlH9F2lCcoawz4j5IwL8PF4AwJRRvZ8O6OkT9/Z5+49e2ENLQ1S9lvSQics7xsanmq788+cDpka6pfNW7fOcMGtD/3atmq40MdQht8W/sKKSUuaQ8UuDzU300w6G/Lo5/MJti9Vbjne3tTLNr+sEvibJYgoA07demwD4V1XdaZo+BeCUq6vr8BrEQfztWc4zVCgq4KzvjHam7TDHYw6a6zevlb6VShpnnqZjRcQrxOdI4GSqieW9neBhpfPpg78DiUF9wDYxhsnKlWBqaMB4+XLwnZoAACgGAzwbGxVHSNSF7DfFiNwTA++BjaBrKgJXwIKamIdyiQwcPgu2bgawdTNQdZh1zqdVsxyfVs0OV732bOGQf+Vm9OPrd5/ZAbgCAEvWH/JsYKqfHLbrz7+q2nl7Ns2t+vrq7acGNE1T21ZOvsJiMemWLnYFh05diX31OsXwi15MPeDZwiHfs4VDftVrN+dGD4+fudb88o3HFm8nizwuW9bY1rzkQ31ULQdXZWXoMSdNdWHh0P5+CQAg1hTJxZqi6mOjX8SL4hLSGqyZN6p6bkJ8YpqxV0vHJ/0D26UAwNwpg6626zXF+c7DGC0Tw1bptXfFxOcI2RVuXVhcqr53w4wQCzODMr92zbOu33lqs23/Wde6ThZrUhH5LgBriqIsKIriAOgLIOzfdEBRlD9FUaGFhYU1CIMAACWtxIxrM7Dm4RoAAJvJRg/rHmAza3YXi6ZpRL7Mgv+6axiz7yFYTAqhA11wYpTHd50o5oSEImnwkOrXmj17Qt3Xt/q1ul9HsA2/u8+4b56ksALHlt1H3P0sAABfxAGby4RCpgQAGFlpwn+sE9R1+KoMs17ILywRCvm86tmvMbFvGthZm6W06DSmn5597ymNvYYO3bLvrwZV+zt4OacyGQzF/NX77JVKJe49fqXxMi7ZvFULh1iVXEA9oVQqsXHnKcvM7ALdZg5W79yQuf0gxl7HvtdUS7cffv5x4vJW5RXSj36mn7t8z7ldq6aPGB9Z4WnFpqNNxRpqBYP7+CZWbWtkbZZ0P/qVVVxCmkAqlVEhu087aGqoFXh7OJGJBipwPzrWSF9XnPX2HwJNGlsmJbzJqPPxLJ9bOmc/gLYAdCiKSgEwm6bprRRFjQFwDpWlc7bRNP3s35yc3FmsmeTiZOx7sQ+TXCeBzWBjeZvlMBTWXoJyLzEPS86+xJ3EPJhq8bEiyAndmxqD+R0uzVf64AHy9+yF0aKFoDgcMDU0wNbXBy2TgWKzIe7bR9UhEnVAqaRxen00jG004dzRHHwRBwwGBervz1s1MReBvzirNsh66MzFO3qPn8c3mjt10MGqbcWSMrWIqPstenRudfXX8f0jdxyMcPpldkiws4PVWucm1kXNm9oWrl84Ztcvc0KDlm08HKhU0oxuvu5XV8wZ+d0u79XYa+jQ5LQcI4oCPTy481/Tx/Z9UbWvk0+Lx1YNjAqMDLRLL1x5YLrj0PkOktIy7sGQ3y6+38+2/Wcb5BUUi8cNC3z0ofMolUpcuPLAub2X84O3k8lDob+dDfzxjy5OPiOmUBRFa2qoFexdP32PWFMkr5MLJv6n/MISoZqQV/ogOla9Y78ZI/oFekdpaYpKJaVlgro+92clizRNf7DQG03TZ/A/JrF8ChmzWDPxBfE48uoIOlt0hqOuI6zF1rXS7/O0IiyLeIlLMVnQFXHxZ3d79GluBg7r+1maT56fj6Lw0xD5+oKtrwdFQQFKHzyANCUVXEsLiPv2IQniN+ry3hhQFIU2/W3BYFDg8plgcSr/7zMYFAImkeTwf3n+Mkntpymr+nZq1/zmhOE9qu8K0jRNmRrppm1ZPuk6AHRp75Zp0qyfw5Z9ZxtvaGJ960XsG+Gvi3Z0923jci+oe5uYF6+SxCtCjnaeMGtj8ao/f76ruitSnT3rph/OyM7nnYq42XDnoQgfZ0errOCePskAsPi3YQ+r2nVp75ZZLpWx9h+PbKdUKi++f/dw56HzzjaWxvFV63C/L2T3acuCIonG+OGB70yUmPLn5uavE9ONl83+abeRvnbphp2nmv8wdnH/W6fXhhoZaJMxi1/a3xNU+XyuQqwpKtTSFJUVFEq+SNkRlX760zR9iqbpnzQ0NFQZxldDppRh8Z3FOBBzAADgZeKFc73OwVHXsVb6T8yRYNz+h+i85iruJeZhSkdbRE1pi4HuDb6LRLEiPh7SlFQAgCI/H5nz50Ny4wYAQK1NG1hFXgLX0kKVIRJ14N5fiQhf989nJJvHApv3z0x132EOaOJt+qFDiffEJaQJug787QcH2wbx79/hEvB5pcYGOtVjFFksJi3WFBVkZueLAGD+6n3NuVy2dPe6aVH+HVpmTh3dJ6a3f5trB05Gtv7S11FfODexLurs0yJr4+LxN5s5WsWsDD3m9bG2bs0apctkcnZcYto7d5kS3mTwHz6NaxzYudXDjx279+glF9uGJq+bOVgVVW0rKill7j16sf3YoQEXfx7kH9/dzyPj9O554WXlUt7K0KP2tXOFxL8h1hRJikvKBHbWZpJX17eH/jH5hyf5hcV8oYBfWtfn/vYzgG+AQllZNYLNYCOhMAFpksphKxRFQYunVeP+MwrLMePYE/isiML555kY1bYhrk5th9HeVhBwvt3l+WiahuLv8bLKsjIkBAQib+dOAADX0hINz52FZmAAAIBiMmul5BChei9vpePg/DtQKirHGXJ4THAFLCiVlRVePHtawaMHedrxbyWlZPI6Bc8c2MDMIO3M3nnh7+83NdLNyMjKE1e9ViqVKCgqUdfXFRcDQHFJGY+iqHfKqLGYDKVMriDlAwAwGAy6Qir76HvxNCZRh81myawaGL2TOCzbeLgJh82Sjh8e+MGi2K/iUwTRL+Jte3R5N5nMLyhmKxRKJpPxz/eEwaBoBkXRZeVS8j1RAWdHq7TM7Hy9hDcZ1YOio5/Hm1uYGfyrycX/hUozAfIY+tMiEiOw4v4KHPI/BHWOOtb7rK+1pfneXnVFSdMIdjPDmHZW0BN9H8W03/wwCBSPB7PNoWDw+TBetQq8xv8UKueY/78SZcRXKOVlPq4efAX/sU5QE/PA4bMg0uKholQOvohTedfQW9VRft3SMnK5vn1nDBQJ+ZJVf/58MSY2Wa1qX9Vs3aBuXvfnLN/TZ+LvG117dGkVv2nX6SalpRWCH/t1fAEAHbyc4y5ceeA2Ysoqj0FBvi+exyZpHD51xdOpseVLVV2XqsyYv7UpDZryatkkVUMkkJ04e8Pi5r3nTgN7tT8PVJYZ2rgz3CnAz+OVmbGe5MLVB8a7Dp/39vVyvvP+I+i/Lt5xcXdt/ERdTfDBWpXLNx5pyuGwpeOHBb7zPpub6JebGeumrt12sp2OtkaZqZFu6erNx13KKqS8wM6er+vs4omPGjnIP3b15uNFwaMW+s+ePDAy/Pxti9iENIv1C8fuqOtzqzRZJBNcPqxcXg65Ug41jhrM1c1hI7ZBqawU6hz1WkkUJRVybL2WgM1X4lEilSOwqTEmdrCBqVadj5FVqbxdu1F0+jTMD+wHRVHQ6NEDFOufHwFRO5IxfAsKMktxfvtzeAQ2hLGtGDwhG0INDirK5FATAxZOurBw0lV1mN+Us5F3DVPSso0AwL3L+Elv75PEn5oDAFNH94lJTsv561BYVKttB8511NfRzF4ya9j+qnF0Y37sHpeWkXvywMnL7gdOXvYW8LhlLk7WMVuWT7rw5a9ItYRCnmzX4QueobvPdFQolEyxplpBcE+fC2vnj74NAEI+T/7oaZzluch7LWRyOVusoVbQtUPLW+sWjLnxdj/7jl8yycwp0F3Zv9Oxj53rbOQ9Zw/XxtEfKny+b+PMQ+N/29BhwqyNfaUyOcdQT5y16Ndh+31aNcup/asmPkVdTaDYtmry3kmzN/n3Hv7nCJGaoHjc0ICwQUEd6rxIOkXTql88xdXVlb5377ud8PaOMnkZup/oDh8zH0xrMa1W+66QK7Dv9husj4xDTokUHRrrY7KvLWwNvs1VV8qePUPejp0wnPMHGAIBCk+dQknUlcrXQqGqwyNqibRcjjMbomHjZoDGnkaQlskRvv4xmne1gGmjmg/TqM8oirpP07TrZ7bVaN+62YqTO+cmf7r11+32gxjNdr2mjK9KVAnV8+k9NcBQX6vgeyuw/rXKysnnBA6ZI3z4NG48QB5D1wsKpQJPcp6gqV5T8Fl89GvUDw46DrXYP43jD1Ox8vwrpBaUoaWlFkJ/aARnM/GnD/6KKEokKI6IgKBFC3BMjKEskUBy4wYqEhLAt7eHhr8/NPz9VR0mUUM0TePc5qfQ1BOgZUBDsLlMsDhMMJmVY0o5fBZ6THZRcZQEQRDfDjIbuh4IjQ7FkLNDkFpSORN3iMMQNDeo+corNE3j7NMM+K26gsmHH0NLyMGuH1tg//CW30yiKMvMgjQlBQCgLC5C+syZKLlY+dRK0NwV1leiwLcnE/e+dtePxiFia2UZV4qiwBWwq2csUxSFrmOcYNuSFEEnCIKoC9/uVNd6jKZpXE29ChORCSw1LNHLphesxFYwEtZeEfYbcTlYfO4lHicXwFJXiA3BzujkYPBNzOhVlpWBweeDlssR360bRD4+MFowH2xDQ1ieCgPn7zvV1EdWKiDqv+jIZMTdz6q+Q8jhMaEQ/PPryntAI1WFRnwFjPS1ygM7e0apOg7iH37erjHaYvXyT7ck6iOSLKpAsawYU69MRReLLpjlPgu6Al10MO9QK31HpxRg6bmXuBqbA0MNHhb3dERPZxOwmN9G4pT6y2TIMjLQYO8eUCwWjObPA8fSsno/17p2CpMTX1b8o2zcOhmPXtNcwOGxwOGxINTgQi5VgMVhonkXUt+S+HymxnrlZGxc/TJlVNAHS/cQXwcyZvELeZrzFJHJkRjbbCzUOerY2nErbMQ2tdZ/XFYJlke8xF9PM6Al5OC3LnYY0NIcPHbtlNlRlaIzZ5C//wDMdmwHxWRC2LoVFAUFoP+uZC9q317VIRL/QWZiESL3xKDDkMbQNlYDV8CChg4P5RIZODwWGrkbopE7eaxMEARRH5Axi1/I3Yy7OPLqCHLKKisO2Gvbg82oeV3TtIIyTDsSDd+VUbjyKhvjfawRNaUthrW2/CoTRWlKCjIXLYY8P79yA4MJMJlQFBQAADQDAqA9ePA38Tj9e1KSX4GjS+4h/mE2AECgzgFPyIZcWlkY29hGjC6jnaCuzf9f3RDEZ7n9IEZTaOk/W9VxEP/w6T01YMCYRW1VHQfx35DH0HWkoLwAC24vQIBVADyMPdCvUT8E2QZByK6dki15Eik2RMZh160kgAYGe1hgtHdDaKtxa6X/L4WWy1F67z7YxkbgmJpCUVCI/L17IfT0hFrrVlD36wh1v46qDpP4l5QKJcLXPYZpY20062AGgTobTDYD+DvHF2nxEDCxmWqDJGqVcdO+EwqKJO/85T9v+pD9E3/q8QqoXDP65+lrfBPepBvn5hdrBXb2jHr7UfGAMYvaHj9zvc37/erpaGYn3Nm9oc4v4Av61HsRef2R9vhZG7tmZObpVchkHB2xel5wT5/rc6cOiq5q06n/zK5PYhIti4ol6gI+t9TZ0frlluWTLlSt2bx43UG7rfvPts7JLdQCABMj3fTfJvS/ENStTWpVH3uOXDBdsOZAh7TMXAMumyV1tLOI3b5q8jlTY73qsYUrQo7abNp5qm1Gdr4ej8sp9/Z0evj+Uo7ElxMRdV930uxNXZNTs41EavySQUG+l+fPGPL400fWDEkWa5lcKQeLwYKQLURsQWz10nw8Vu2silJSIcfWqwnYfDUepVI5ejqbYHx7a5iIv56C2rRUCkVREVg6OlAUF+PN0KHQHjoUepMmgmffGNY3roMp+jZrP37LLu16ARabAa9+tmAwGeAK2WBzKh9eMJgMBEx0VnGERF0L6OQZ9eu4ftVFc02Mdcuqvi4qKWWpiwRlg4J8o7YfOPf/KuCv+GPEjZlj+71TcLdT8MzB7q6NX9Rt1F/ep94LDpul7NSuebRXS8c0HS2NimNnrlmsDD3a3VBfq+TnQf7xANDIyjSjX2C7aNuGJkVxCamiWUt2du0/amGXy8eWHQMAsYZa+bD+fldcnGxyOGyWcsn6Q24/T1szwNnReq2VhVFpWkYud9ysDcFuzRo93bxswvGk1Czh9HlbAwdPWOZ38fCSEwAQsivccvbSXX16dPaMGtir/TGFUknFJaSpf9l3i6hSVFLKHDJ+abC5iX7awZBfN4dfuG2xesvx7rZWpvk/9G5fp4W5SbJYi7Y93YazCWexv8t+sJlsHPE/UmtL81UV1F53KQ65Eik62lcW1LbW/zqSqqoxhgAQ36MHuJYNYbJmNVhiMcy2bwPfobKuJEVRJFH8Stw9nYDMxCJ0He0EAOAKWJV3D//WcVjt1Qolvg5qAp60anm/97V0sSs4tevPvwBg79GLrd7fr6cjlurpiKVVrw+FRRnn5BVpjxsa8PD9tl+7T70Xni0c8j1bOORXvXZzbvTw+JlrzS/feGxRlSyunPvzvbf2F9x6EHP/cFhU66ptPw3skvB2n9YWxhcbthzUIiLqvqGVhdHrm/efa1dUyLhzpw662rypbaEnkH/m4p0nN+4+r17zdP32MK+WLo0e71wz9UrVto5tkV1b7wPx74TsCrcuLC5V37thRoiFmUGZX7vmWdfvPLXZtv+s6zedLH4LE1wKygsg5AjBZrBhomaCxtqNUa4oh5AhrJVE8f2C2u6W2pjqZ4tmX1GdxOwNGyC5dh0N9u0FAOgMHw6mlnb1fmGLFqoKjfgXXtxIR3RkMnrPaA4GgwKHxwJfyAatpEExKHj2IjPRv3cnzt5wP3rmWistDbWC7n4e95b+/tOD/9rX1n1/OVs1MEps6WJXUJsxfm2USiVCdp+2zMwu0G3mYHX1Q22iX8SLIq8/sjcz0Uv70P4SSRnzt8U7mrNYTLm7q102ALR2c8gRCniSkN2nHZwaW954k5rNv//4lZVrE+tYACgtq2AkJGeaurs2fuXo/dPgzOx8HUN9rax504ec8+/QMrPurpj4mPvRsUb6uuIsCzOD6jv2TRpbJl2+Ed2krs9N1oaugTdFb9AnvA9+cf0FvWx6wbeBL3wb+NZK3zRN4/zzTCw99xKxWSVwMFbHop6OaGWlU+8nd5Q9eoS8vftgOH8eGBwO2Pr64DZsCFoqBcXhQKN7d1WHSHyG5Bd5uHooFt0nNIVQgwuugAV1HT6kpXLw1Nhw8jFVdYhEPRLQyfOmm7Nduqa6UHri7A2rTbvCu9A0qGWzf7r/b/vKysnn3Hn40mHcsMDwuoj1a9HYa+jQ5LQcI4oCPTy481/Tx/Z955H8hFkbm28/eM5XLlewGtuYx4btnHv07f0p6Tlch7bDf5HLFSyhgCfZuHjczmYOVkVA5Z3cfRtm7Phx4vJ+WnY9fWiaptycGz0+EPLrBQCIT0oXKJVKxvEz1z0H9/W96O7aOH1V6DGPYZNWDHgSGbL27bvAxJeRX1giVBPySh9Ex6p37DdjRL9A7ygUdamTAAAgAElEQVQtTVGppLSszsehkcfQ/1KZvAzxhfGw17aHqcgUfWz7oJle7Q7UvxWfi8VnY/DwTQEsdYRY37+yoDaDUT+TRKVEguKLFyFo2RJsPT3ICwoguXUTsqQkcK2todmzJzR79lR1mMQn5KVLcGH7c7TqbQUjazF4amyItLioKJVDqMGFZVNdWDbVVXWYRD21fuHY21Vfd+vonpGTV6h29PRVt/+SLC7dcNiBYlD0hOGB39x4xX9jz7rphzOy83mnIm423HkowsfZ0SoruKdP9drek0f1jg7o5BH/8Olr7dWbj3UYNWNt22NbZ0dU7TfQFUtP7Zq7KSMrn7d5zxnXGfO3BbR0tttqaW5YVlgkYY39dX13h0YN4kcM7HI/NSNXuGT9Qb8+I+a3P7x51gWFQkEBgJOD5csls4Y/AAB3F7tT1h6Dp+08dN6S1E1Ugb+Hc/H5XIVYU1SopSkqKyiU1M6EiE8gyeK/NOv6LNzNuIuIXhHgMrmY4DKh1vp+mlqIpedeIupVNvTVuVgQ6Igg1/pZUFtRWAhlRQXYenqQZWUhbeo0GPwxG+K+faHWujWsL18Gxfz6Svd8TypKZTi9IRp2Hoaw8zCCUJMLNpcJZWU1G+iaiuA/tqlqgyS+Wk3sLNKv3Iz+T7OawiJuubR0tnsi1hTJazuur4lzE+siAEWdfVpkxSWm6a4MPeYV3NNnb9V+E0OdChNDnYq2Hk65Wpqi8lHT1wx5/jLpRtW4URaLSbd2c8wDgJ5dWoWZuw4Yt3DNAefNyydeX7zuoENuXpHWk8jQbSwWkwaA8grp+d+X7OybX1B82cxYrwwAzE30c6vOZ6CnJRXweaUp6TlkYLkKiDVFkrjEdGM7azPJq+vbQwFg0LglXkIBv7Suz13/spB6Rq6U40TcCRRJiwAAwx2HY0XbFeAya69ETWKOBGP3P0TXtdfwKLkAMzo1QtQUb/R3M6tXiSL9dxZBS6WI82mP3E0hAACuhQUsjh2FZlAQAIBiMkmiWA/RNI0zG6NxOyweAMDhV66UUjUphctnIfAXZ5jYfj3jYYn6KzYhVUesKfrX4w1Pnb+ln5KWbTSkb8dvbmJLTTAYDLpCKvtocV4Wk0EDlTOtP3I8KIqiS8sr2ABQUCThgQLNYFB0VRs2i6mkaZqSlFUwxZoiua62Rk5KWk71L4Tc/CJ2aVmFwMRQp7j2roz4XM6OVmmZ2fl6CW8yqgvSRj+PN7cwM/jgWNXaRO4sfkJ8YTxmXZ8FiUyCYLtg2GrZ1lrfWUXlWHMpFgfuJIPNZGC0d0P85NUQGvyaF+uubemzfoc8KwumIZtAcTjQ/+1X8Gz+WYGG17ixCqMjPubqoVcoL5Ghw4/2lY8v1Njg8Cp/7CmKQtcxTiqOkPgW7D160TTqZrRpl/Zu8Tpa6hUnz920OBd5z+3Hfn4Rb7cLO3fTAABkcgUrN69ILezcTQMjA+0yVyebwqo2IbvCXfR1xVm9/b3q/ANQlf7XezFj/tamNGjKq2WTVA2RQHbi7A2Lm/eeOw3s1f48AFy/81S8dtvJZv4dWsbaNDQpevIiQbxo7QFfQ32tjKoJQf1HLfR2drRKa9HUNrtcKmNu2B7mnF9YrNmjs+crAOjawS1+95ELHXoOm+s7cXiPe+lZefy1W0+0szQ3TDIx1KkAgE4+Le7vO3bJZ96qvQlebo7p89fs9xTwOGUDe7WPV9X79j0bOcg/dvXm40XBoxb6z548MDL8/G2L2IQ0i/ULx+6o63OTZPEDrqRcQXJxMoLtgmEjtsHeznvhqONYa/0XlcsQEvUa264lQqZQom8LU4xrZw099S8y9OCzlFy5gsLwcBgtXgyKosC1agiWrk51CRzNgABVh0h8wKMLbxD/KBs9JrsAALgCNkD/s997oN1HjiSI/04g4Mkv33jscDj8ahulQsnQ1lLPGxbc+dySWcPeGa/Y7+cFI6q+vnLricuVW09cWrrYPa6q65dfUMy6ee+FY1D3NlFf+hq+tP/1XgiFPNmuwxc8Q3ef6ahQKP+vvfuOq7Js4wD+u8/ehw0yBVHcE0eOXKmY4ig1zcxsmNu01Cx7Hb1qZsvSUlxlObOhuHOQG0Vzi4IEgogMmeewzjn3+8cR4i0xkPFw8Pp+PueP88zr4dwHLu7nua9bbG+nyRj5fM+DXy2cGA4AWq3KdCs20W36vFWtcvPylSql3Ni4gU/M5/PHFRfL5hbOvlr7a6+MLINeLBKZ3VzsUxbNfnXz8/26JALAsz3bJX84a/SWb77b1W3AK3MD5VJJQeMAn1srFk3+regYKxZNOp2ZmaP8au2OoE++2S73rON0N+STaT+4uTjQ4BYB6DQq87ov3tk4fe7K4KFvfPimVqPKnvLaoJ2jh/Wq0rI5AMA45/++VVWd/K/SOW9ERUUJFsffzTk+B1fTruLH4B8hEVVePp1XaMaGU7H4OuwWMoyFGNDCHdN7NUBdp8qZ1aUizBkZyNq3H/rg/hCp1cj46SekhayGz8YfIHFyEjo8Uopb55MRvjMGQ99rC6lMjOsnExF/7T56jG4EiQ1O90jKhzF2jnMeWMZt9c90afXZju8WxP/71rYt/HykXY8hM6YaYkLnCx0Lseo5dOagOq4OGSVnqiE1V3JqumzwmPnqP65ETwWodA4AIDYzFovPLMac9nPgpfPCzHYzoZQoKy1RNJkt+Ol8Ar44GIW7mXno2sAZM/oEoKmHsHNim9LSAJEIEnt75EdFIWnePEicnaDt2RP6QYOgf+65Gl+m50mTFJOJIz9Eos/rTeHgroZcLYXeRYW8nEJIHcRo1NEdjTq6Cx0mIYSQWuSJvg1dcmq+uKw4xGfHw0vnBZ2scmYz4pxj/9V7WLo/ErdSDGjpZYfPhrXEU/Uc/33nKlJ0G9mUno6ort3gPHECnMaPh7J1a/ju+BXyB88h0gCVmiH7fh72hVxBYF8f+LZwhkong1ovg6nQDADwDLCnASmEEEKq1BObLM47OQ9ZBVn4rNtncFY5Y/fg3ZU2NR/wt1qJzmqsfKk1+jRxE7SnLuGtaRCpVXBfuBASe3u4zZkDVVvrHSwmFkMRUHmDd8jjMZssCP3qIuo2c0TLZ7yh0skglYvBHtTY1DkpMWBq5db1JKS2cXd1yBv8bKda/9yjLQnqHhjpaK/LEzoO8nieqGQxNTcVTkrr83c+Oh8YCg3FPW2VlSheS8zCkn2R+P1mCtx0Cnz0XDMMaSNMrcTsQ4dgPHMGrrNnAwDkfr5gyuIR97Af/kK1x0T+6eD6a5CpJHj6hQYQS0RQaqSQyq3tUSwRYdA0Sg4JKQ8vD5c8ejauZqEi3rbtiUkWTyaexMRDE7G291q0dm2NMU3HVOrx4+8b8emBG9hxMRE6hRSz+zbE6I51oajGQQbmrCzkHDkCXf/+YGIx8qOikRP2O5zfegsipRLOU6ZUWyykdOE7Y5CakIN+E6zTeSo0UsgUf7WTPm80FSo0Qggh5B9qTsXnKpCel45bGbcAAK1cWmFkw5Hw1HpW6jlSc/Ixb+dV9Pg0DHuvJGFc13o4OqM73uxar1oSRXNODixGa/F2w4kTSJz1LnIvXAAAOL46Bn779kJUojeRVL9rxxOx5b9nwC3WygMKtRRKrRRFlQg6D62PdsF+QoZISK0Sfj7STu0XPFfoOMhfeg6dOeilSR91EzoO8nhqbc8i5xyv7n8VKokKG/tthFKixDtt36m04+fkm7DmWAxWH41BnsmCYYGemNqzAdz01VcrsSAhATHP9oPrB3NgP3QoNN26oe62rVA0s9aEZDJZtcVC/nL7ahqObYvC4LdbQ6WTQa6WwM5FiYI8E+QqKVr09BI6RELKbdArc/tcvRlXNyn5vouvl1v8pSMh35Zcn3A3VT5ywuJ+l67FBIglYnOX9k0vbF35/m8ymbS4Ptv0uSsDt+wI62ww5Kl9vFwTViyeFFo0HR0AHPj9nPP0uSv7x99JcddqlDmjh/UOWzh7zMVqvMxqN37Wsqc2/Hiw90vP9/xt1dK3ThYt/8/H3zX/YfvBzmnp2fZajTJnSP+nT37x4fizRevDTl50nLEgpE9MXJIXB2fNG/nd/O7LGXt8PF3zAOC9RetaLlvzy8CS5/Ko43S3aJo4ALh49Zb29bc/C74Zc8dXKZfl9e/d4fSaT6efKLnPqElLuh4Ii2ibX1Aoa1jfO+a7ZTNCA/y9DFX3EyGPItR3pEp6FhljgxhjqxljOxhjvaviHA9jLDRi241tMFvMYIzh3Xbv4sNOH1bqOQpMFnx3MhZdPz6CLw5GoUt9Z+x/62ksfq55lSeKnHPceWcGUr5aDgCQenjAcexYKJtbZ+EQKZVQNm9O5W6qWdqdHGxdeAZ3b1knoVBqZdC7KFGQa53Wtl4rFwSNbWYtkE2IjSo0mcX9erY/3ySg7kOL4r44flH/2Ph77quWvrVh3tujfj56+nKrsTO+6Fy0fvm6Hf4hP+x59sXBPY5tXvnearlMUjhq0pIRBQWFDACycoziMVOXjtRpVIatq95fPahvp9PL1vwycMOPB72r6xqr277DZ10OhJ1rqVErc0ou/27bb96frtw+eGBQxzN7Ny36evSw3mFrN+8N+uSbHwMAIC+/QDR6ytIRjDG+eeV76775aMr38YkpLsPfXPh/yaFUIi48u3f5p0WvfZsWfV9y/fBxi4bl5hXIv/9q1trxrwTv37bz9+5zl24onoHi7Xmr2oQeONVp+rghu9cvm7E+PSNbO3zcwueq8mdCSifkd6TMPYuMsXUA+gNI5pw3LbE8CMAyAGIAazjnH3HOfwXwK2PMHsAnAA487JiV7didY/jw9Ifw1nmjQ50OaF+nfaUd22LhCL2UiE8P3MTt+0a093XA6r4N0dq7asuWGE6dQn5UNBxeHgXGmLWkzYPBMowxOE+aWKXnJ/+UZyjE7hWX0KSLOxo+VQdqOznkKknxbWZnby36T6Rp9EjtsvuH/+4BgP6j5jjfNub933/GMXF3lecvRzeZP+PlrcMGdL0DABEXb57cHxYRCOAYAPzw06HAZo18b3wyd+w5APBwcwztGPzW9PVb9vu++XL/mFUbdtXPzDbqNn49e5Wvt1tuUI+2ySfOXGmwbvO+wJeHPlPlM1RUtxxDrnjynBWD//P2qN3vLVr7fwnYrt9ON/B0d078fMH4CADo2LZx+pETFwK27vi9zTvjh944Hn7FIfV+puPqT6dt7d21TQoA3ElKO/zBkm9H3IiOVxf3/DGGxgE+Of84OazTDd6+k+y5LWTOyn7PtL83oM9TSSfPXvXdvuto2/kzXr4MADv2nWzbvVPLc7MmvXAdAAyG3H1vzlz26rHwyw4le4RJ9RDyO1KensVvAQSVXMAYEwNYAaAvgMYARjDGSk4SPOfB+iph4Rb8HPUz9sXuAwD08umFzf02o0OdDpV6nmNRKQhefhxTt1yASibG+jFtsWVshypJFLnJBGNERPH77EOHkbZ2LXhhIQDAfclHcJ4wodLPS0rHOceuFRcRHmqdDlWukkCmlEAstX59FGopBk1rDff6dkKGSYhg9odF1OGcsyH9u8QVLeveqWVcVrZRd+1GnAYAYuOT3Fs2rVe8vkWTetn2dtr0MxduuAPAuUtR7q7O9sm+3m65Rds0b+wX9+ftpFpZZf6VqUt7BNTzjH/YVG2FhSaxVCI2lVwmlUpM8YnJbgCQm18gBgC1Ul68jVIhMwHA4RMXXIuWmUxmiUfL4W/VafHCtC4Dpw2JuHizeCaIY+GX3eVyaX6/Z9rfK1rWrlXDuIS7qXUsFguycozipJR0l6cCGxV/ZsMHdU8QiUSWIycu1srPpKYT8jtS5mSRc34UwN//k2gHIJpzHsM5LwCwBcBAZrUEwF7O+fnKC/f/MTD8dPMnHIi1dlyKmAhNnSpvJOnlhEy8tCYco9aeQYaxEJ8Na4E9U7qge4BLpd7q5RYLuNlaZDl92zbEvTQK+besA3OcJ0+C/8HfwKR0C7M6Hd18AwfXXwNg7cFV6WSQKyXF74Mnt0D9QNdHHYKQJ8a9lHQ1Y4x7uTvnBXQa80aXgdOGeLg5GgEgNuGeCgAMxny1k73OOOm95e1dmgydcf5SlE6jUhjvZ2SrACA9M0etUSuM5y9F6ZybDJkxZc6Kdg52WqPBmKsS8tqqwvot+31On49stO7ztw8+bH2ndk3i4hLueYZ8v9vXYrFg0y+HPa9ExtY3GPPVAPB0+2ZpGpXCsHDZ5o6ZWQbJn7eTlGs27u0IWD8LAGje2Dd1xoShP4d8Mm3zB9Ne2pmclmk/aMy80ekZ2RIASL2fpVYpFca09CypR6sRU4e8vqCXi5Od0WQyS5JTM2Sx8UkqzjlzdXYwPvfa/N6erUZMzcw2SJQKWW5KWmat+0xsgZDfkYoOcPEAUHKe0QQA7QFMBvAMAD1jzJ9zvvLvOzLGxgIYCwDe3o93u50xhhU9V0Avr9xp8+LSDPjkwE2EXkyEvUqKD/o3xksdvCGXVP7o5vyYGNx+9TW4zf0PtN27Q9enDyTOzpB6Wkdti/XCTgn4pDh/IA5xl9Mw+O3WAKzlbIp6DgGgx6hGQoVGSI3HOcAYuEgkgoO9LsvRXpdt4fwf/1EzxuBgp821t9NkqFUKMwdYyYMwxqBUys32dtpMBzttbkamofpGDFaTpOT7sjkfrR88Z9rInS5O9gUP22bGhGGRZy/cPPnOgpCR0+etEtnp1Jmd2jW5GHbyYiAA6HVq08L3Xt0+d+mGgR6tRrQRi0TmIcFdfo+Mjq8nEok4YO0FhPVvMgDc69m5ZVJg0KTpX38X2uD9qS9e45yDAZBKJRZ7vSbL0V5n4CU+s6LHah58ZgYHO22mXCa1gIMeiheKgN+RiiaLD2s0nHP+JYAvH7Uj5zyEMXYXQLBMJmvzuAHYKSrv1l9qTj6WH47GxvA4SEQiTO7hjzee9oNOUXm9etxsRsry5ZD7+kI/YABknp5QtW4Nsd56HRJHR+h69aq085GHi4q4h7O7/sSw99tCIhVDoZZCYy+H2WSBWCKiUjaElIObi73BYuGiuIR7ilO7lm0FrIM0AKCup6sRANQquSHlfqbqm4+mnF4wc/QlADAY85QOdlojANjbaQ3RsXc9GtX3NhSN2B095eOn1SqlUZirqhpn/rjhkJFl0M/675oXZ/13DQDAbLaIN/1yuOeRExea3jz5bQgAbAuZcygvv+DIjeh4daP63jkvT/m4u06jyi46zusv9o19/cW+y25Ex6vt7TSFkVHxmi2/hvX09nDJfth5A/y9DHqtKisu/p4dADg76g2G3DyVTqMyXwlbvR4APljybXOJRGxycbIrUKkUZsYYT0pOUz0YIX3CZDKz3PwChbOjvlZ9JrZCyO9IRUdDJwAoWQfEE0BiWXfmnIdyzsfqBe49M+SbsOxgFLp+fATfn47DsEAv/D6jG97uHVApiWJBwh3kHLdWI2BiMQzHjiP3yhXre5kMHp99ClVrmqWjKt2NzsCm+eFIT7I+961QS2Hvpka+wfrIT+NO7uj1ahOIJbW69CghVaJPt8C7jDG+fdcxn6JlR05c8NFpVNlFAyx8PF0TL1y5Vbz+4tVb2vSMbPt2LQMSAaB1M//EeynpLn/eTiouDHvpWoyPr7dbmf+m2IJunVqk7NywYMUv6+etLHppNcrsoO5tT234ata2ktsq5DJLiyb1skUiEU6evdqkYX3v2L8fL8Dfy+DiZF+wZtPeZjKppCC4d4eH/rwSk9LkWTlGrY+XawYAdG7XNDE/v1C++2B48fM0Z/6I9PGs43RXJBJBp1GZXZ3tk09FXC/+zLb8esTTYrGIundqUas+E1sh5Hekoj2LZwHUZ4z5ArgDYDiAF8u6M2MsGECwv79/BcN4PIVmC7acjceyg1FIzclH36ZueKdPAOo5ayp8bHNODsQa63GSly6F8dw51P89DEwsRt3Nm+gZxCqWlZqL/auvoG0/X9Rt7gSlTgatvRymAgsAwKuRA7waOQgcJSG241j4ZYf0jBxZZrZRlVdQKNu5/5SbQiEz9+7aJsXPp05uq2b+175c82svL3fnnJS0TEXob6c7BvfqUFw3cNSQZyLeXbj2xRkLQlp379QyYe7S755xdtSnjhne508AGDc6OGrZ6l+yRk5YHDz3nVFHdv0W7hv1Z6LvisWTvxXsoquATqMy9+zcKrXkMrFIZHGw0xo7tGmUUbTs7Xmr2vTpHnhbxBhf/NWWzpnZRt3sKcOLayAuX7fDX6NWFjYJ8Mn4Zc8J3537T3Ua0OepE472ukIAeHHC4u4dWjdMCGwRkJpwN0W1ZPnW7jqtOmvcy/2jAGBgUMckbw+XhFn/XfOshfM9f1yOdj517nqLaWOf31F0joF9nopYt3lf7yXLt95uUM8z48PPNwY18POIoZHQwhDyO1Ke0jmbAXQD4MQYSwAwl3O+ljE2CcB+WEvnrOOcXy3rMTnnoQBCAwMD3yhf2BXDOcfeK0lYuv8G/kw1oF1dB4S83KbSRjdnbN+OpAUfwj/sCCQODnCeOhVMJrOWvQEoUawCpkIzQr+8CL+WzmjR0wtqvRwypQRMbH1Sws5FheApLQWOkhDbNfHdrwbcirtb3Ms0YvyiN+106sw7F7Z8AQCbv3kvdOSExf3HzvhitEQsMj3dodkfIUvfOl60/aRXB0bfik3cs/Gnw11Xfb9bXdfTNWHDlzM3FxXt1mlU5nVfvLNx+tyVwUPf+PBNrUaVPeW1QTsfNlr4SRB+PtJv/Zb9vcwWi9jL3Tlx1cdTvyuZZKakZSoXLtsUnGPI0+h16sxhA7qGrfx4anFynmPIlS9atnmAMS9fqZTL8ur7ecb9tOY/G4qSSQDY9M3sH994+/PglyZ89LpCIcsbGvx0WFHZHAD4bP64iOS0DM2nK7f3yy8olDeq731r/RfvhFbfT4GUJOR3hBVNOSakwMBAHlGiXExVCo9Jw+K9kbgQn4EGrhrMCmqIHg0rNrq5ICEByR8vheObY6Fs0gT50dHIDN0Fh5dHQeLoWInRk5IOrL0KpUaKLi80AADsC7kC7yYOaNyJqjqQJwNj7BznPLCM2+qf6dLqsx3fLYj/961tW/j5SLseQ2ZMNcSEzhc6FmLVc+jMQXVcHTJ+WP5umNCxkH+XnJouGzxmvvqPK9FTAYGn+6vO29BR97KxZF8kDl5PhptOgY+fb47n23hCLCp/ksgtFhjDwyFSq6Fs3hxirRa5Vy6jMDERyiZNIPf3h8u0t6rgKp5sp365hft3Deg3oTkAQKWVQaH5qwkHja28skmEEEIIsRI0WayO29D3svLw+W83sS0iHmqZBDODAjCmoy+UsvKVweGcw5yRAYm9PcA5Eme9C2Xr1vD84nOI9Xr4HzpE0+xVsitH7+DqsTsY9l5bMMag0Eih1svAH5QP6DysvtAhEkIIIbVere1ZzM4rxKrfY7DmeAzMFo5XOvpiUg9/OKhlj3W8xJmzkB95Hb47d4KJxfAKWQVZ3brF6ylRrLjYy6k4/mMUnp/ZBkqNDAq1FHauKhTkmSFXStCqV62dIpYQUoncXR3yBj/b6Xeh4yB/CeoeGOlor8sTOg7yeGpdz2KByYJN4XH48nA07hsKMKCFO97pHQBvx/IVODecOoW01Wvg+c3XEMnl0PXtC1NgIGCxAGIxFA0bVlbIT6zUhGwcXH8N3UY2hJufHkqtzFrOxmiCUiODfxsX+LdxETpMQoiN8fJwyaNn42qWGROGRQodA3l8giaLlYlzjj2Xk/Dx/kjEpRnxlJ8jZj/bEM09y1a025Kfj5zDh6Fs3QZSVxdwswWmlBSY7t6FrG5daHt0r+IrqP1yswuw++tLaNbNEwHt3aDWy6HUyopnCnCtqyt+HpEQQgghNUOtuA0dHpOGRXsjcTE+AwGuWqwf0xbdGjj/661hbrHAYjRCrNHAlJSEO9Omw3X2u3AYPRrqTh3hF7qzQnE96biFY9fyi3Crp0fbfr5QqKWQq6SQPJhGT6mVYeBbVIycEEIIqcls+jb0P0Y4D2mO51uXbYQzt1gQ0z8YqsBA1FkwHzIfH9TdugWKptYRtfQM4uM5sjESlkILer7SGEzEoLaTQ66yNjMmYgie3ELgCAkhhBBSHjZ9G3r/1SSEx9zHzKAAvNrJFwrpo0c4Z+7YgdzLV+A2530wkQh2Q4dC5v3XbIXKFpTIlNe5fbG4ffU+Br/dGoC1nI3FbCle3+PlRkKFRgghhJBKYNPJ4mud/fBie59SRzhb8vNhOH4cmh49wBhDQVwcci9dAi8oAJPJ4DjmleoNuBa4EZ6EiD2xGD6nHcRSERRqKXSOCljMFojEIrQf4Cd0iIQQQgipRCIhT84YC2aMhWRmZj7W/kqZ+B+JIucc3GwGAGTt3YuEiZOQe+ECAMBp4kT4btsKJnu88jlPosSodGyadxoZyUYAgFIrhaOHGnlG64xRTbp4oOcrjSESC9qUCCGEEFJFBP0LzzkP5ZyP1ev1lXK8wnv3cKtPELJ27wYA6Hr1gtfaNVA2t46wLZqbmZQuM8WIrQvPIO5KGgBApZND66iEqcB6a9m7sSOCxjaDWi8XMkxCCCGEVBOb7w7K+OlnZO60jlqWODtbp997MB+zSK2GplMnShIfobDAjJ+XnsOlIwkAALVeDoVaCtGDQUJ2rioET24BJ0+NkGESQgghRCA2/cwiAGTu3Akml0E/YACYSASPT5YKHVKNty/kMjR2CnQeVh9SmRgqvRwypTWhlsjEVM6GEEIIIcVsPln0/HIZRDqd0GHUaCd/ikZGshHPjrfejlfbyaHUSYvXB41tKlRohBBCCKnhbL4ot7iSnnesTS4dScD1k4kY9l5bMMag1MpgKjCDcw7GGLoMayB0iIQQQgixEbVqgMuT6s+LKfj+g1PIM1hHKCu1Uti7qVGYbx0V3qq3N54eEUCFxgkhhBBSbqbz/lIAAAg+SURBVDY/wOVJlHI7G5sXhONebBYA67R5ju5qFOSaAAD1A13R+7UmkCls/ikDQgghhAiMkkUbYMwqwI+Lz+Lm2SQA1mcO1XZycAsHALj56fHs+ObQOSmFDJMQUrNxy4PfGYQQ8igWCwcHL56OjZLFGshi4djxxR84u/tPAIBSI4VCI4PkwXSGKp0MA6a0hJsf3b4nhJRZblaOkecYcqmWGCHkkRKT0hSFheb7Re8pWawhDn9/HYc2XAcAiEQMGns5lBrriGUmYgie3AJ+LZ2FDJEQYsM454XpGdl/HDl50UnoWAghNdvR05cdYuOTTha9p4faBBKx508k3EjHoGmtAViLYXP+1y2inqMbCxUaIaSWuhV3d9ey1T83EzHm2vWp5qkatdIsdEyEkJojJS1Tuuu3024bfz6UZMzNP1u03OZL59iKyNN3cW5vHIb/px3EYhGUWhl0jkpYLBwiEUP7AX5Ch0gIqeU453GMscXJqeuCHey0LfU6NROLRPQgIyEEhSYTy8jMKUxJyzwan5iyk3OeVbSOlezNEkpgYCCPiIgQOoxKlXAjHWEbIzFgSkvonJSIu5qGyJN38fTwBlBqZUKHRwipBRhj5zjngY+5rwyACgDV1CKEAIAFgIFzbvr7CroNXUky7hmxb/UVdHyuHrwbO0Klk8HeVYXCAutdHp8mjvBp4ihwlIQQYsU5LwBQIHQchJCajwa4PKaCPBO2L4nA5bAEANZyNiqtFCKR9Z90hzpq9JvYAo7uGiHDJIQQQgipEOpZLIc931yCzlmJzkPqQ6aQQGMnh1xl/RFK5WIMmNpK4AgJIYQQQioXJYuPcHxbFLLv56HvuGYAAK2DAmqdvHh90JvNhAqNEEIIIaRaULJYwsVD8bgRnoShswPBGIPKTgaOvwYAdXmhgYDREUIIIYRUvyc6WYz5IwUnforCsPfbQa6UQKWTwaGOGqYCC6RyMVr39hE6REIIIYQQQT1RA1zuxWZh07zTSLmdDQBQ6mRw9tIi31gIAKjf1hXPjGkMqZxmwyKEEEIIAaqgZ5Ex5gfgfQB6zvmQyj5+eRgy8rH760to1dsb9QNdobGTQ+uogMVivbVcp54ederRc4eEEEIIIaUpU88iY2wdYyyZMXblb8uDGGM3GGPRjLF3AYBzHsM5f60qgv03FrMFv3x6HhF7YwFYew6VWhmkMmtPodpOjuDJLeFaVydEeIQQQgghNqest6G/BRBUcgFjTAxgBYC+ABoDGMEYq/YJjQ9+ew2HN1wHAIjEIuicFFBqpNb3IobgyS1Qt7lTdYdFCCGEEFIrlOk2NOf8KGOs7t8WtwMQzTmPAQDG2BYAAwFcK8sxGWNjAYwFAG9v7zKG+08aOzlE4r9mq+o5utrzVUIIIYSQWqsiA1w8AMSXeJ8AwIMx5sgYWwmgFWNsdmk7c85DOOeBnPNAZ2fnxw6iw6B6aBfs99j7E0IIIYSQ0lVkgMvDJp/nnPM0AOPKdADGggEE+/v7VyAMQgghhBBSVSrSs5gAwKvEe08AieU5AOc8lHM+Vq/XVyAMQgghhBBSVSqSLJ4FUJ8x5ssYkwEYDmBneQ7AGAtmjIVkZmZWIAxCCCGEEFJVylo6ZzOAUwACGGMJjLHXOOcmAJMA7AdwHcA2zvnV8pycehYJIYQQQmq2so6GHlHK8j0A9jzuyemZRUIIIYSQmk3Q6f6oZ5EQQgghpGZ7ouaGJoQQQggh5SNoskgDXAghhBBCajbGORc6BjDGUgBkACgta9Q/Yp0TgNSqiKuKPeqaavK5KnKs8u5b1u3Lst2jtqH2VXPOVRvb17+tr0gb8+GcP/6sBoQQUhac8xrxAhDymOsihI69sq+3Jp+rIscq775l3b4s21H7so1z1cb29W/rbbWN0Yte9HpyXjXpmcXQx1xnq6rzmirzXBU5Vnn3Lev2ZdmO2pdtnKs2tq/ynIsQQmqcGnEbuiIYYxGc80Ch4yC1E7UvUtWojRFCarqa1LP4uEKEDoDUatS+SFWjNkYIqdFsvmeREEIIIYRUndrQs0gIIYQQQqoIJYuEEEIIIaRUlCwSQgghhJBS1bpkkTHmxxhbyxjbLnQspPZhjA1ijK1mjO1gjPUWOh5SuzDGGjHGVjLGtjPGxgsdDyGEADaSLDLG1jHGkhljV/62PIgxdoMxFs0YexcAOOcxnPPXhImU2KJytq9fOedvAHgFwAsChEtsTDnb13XO+TgAwwBQOR1CSI1gE8kigG8BBJVcwBgTA1gBoC+AxgBGMMYaV39opBb4FuVvX3MerCfk33yLcrQvxtgAAMcBHKreMAkh5OFsIlnknB8FcP9vi9sBiH7Qk1gAYAuAgdUeHLF55WlfzGoJgL2c8/PVHSuxPeX9/cU538k57whgZPVGSgghD2cTyWIpPADEl3ifAMCDMebIGFsJoBVjbLYwoZFa4KHtC8BkAM8AGMIYGydEYKRWKO33VzfG2JeMsVUA9ggTGiGE/D+J0AFUAHvIMs45TwNAf8RJRZXWvr4E8GV1B0NqndLaVxiAsOoNhRBCHs2WexYTAHiVeO8JIFGgWEjtQ+2LVCVqX4QQm2HLyeJZAPUZY76MMRmA4QB2ChwTqT2ofZGqRO2LEGIzbCJZZIxtBnAKQABjLIEx9hrn3ARgEoD9AK4D2MY5vypknMQ2UfsiVYnaFyHE1jHOudAxEEIIIYSQGsomehYJIYQQQogwKFkkhBBCCCGlomSREEIIIYSUipJFQgghhBBSKkoWCSGEEEJIqShZJIQQQgghpaJkkRBCCCGElIqSRUIIIYQQUipKFgkhhBBCSKn+B2+UI/O92OTIAAAAAElFTkSuQmCC\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def tableau_trie(n): return range(n) \n", "evalue_complexite(tri_a_bulles, tableau_trie, \"tri à bulles\")" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "Le nombre de comparaisons ne dépend pas du contenu du tableau.\n", "\n", "Le nombre d'échanges est uniformément nul. " ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "Le deuxième test utilise un tableau en ordre décroissant." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def tableau_inverse(n): return list(range(n,0,-1))\n", "evalue_complexite(tri_a_bulles, tableau_inverse, \"tri à bulles\")" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "Le nombre de comparaisons est inchangé mais le nombre d'échanges est égal au nombre de comparaisons. \n", "\n", "Tous les tests de comparaisons renvoient `True`, il y a échange à chaque fois. " ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "Notons que cela ne change rien à la complexité du tri à bulles qui est toujours dominée par celle du nombre de comparaisons.\n", "\n", "La complexité du tri à bulles est donc **quadratique, indépendemment du contenu à trier.**" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Complexité spatiale\n", "\n", "L'analyse précédente ne s'intéresse qu'à l'utilisation d'une ressource: le **temps de calcul**. \n", "\n", "Dans certains cas, il est aussi pertinent de s'intéresser à une autre ressource importante: la **quantité de mémoire** utilisée. \n", "\n" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "Pour le **tri à bulles, cette complexité spatiale est constante,** $\\Theta(1)$. En effet la mémoire supplémentaire nécessaire pour trier le tableau inclut\n", "* les deux compteurs de boucle\n", "* un élément temporaire utilisé lors des échanges\n", "\n", "la quantité de mémoire est donc indépendante de la taille du tableau à trier. \n" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "\n", "Ce sera aussi le cas le tri par sélection, le tri par insertion et le tri de Shell que nous verrons par la suite. Nous renviendrons sur ce problème pour les **tri par fusion et tri rapide**. " ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "\n", "\n", "\n", " \n", "\n", "
\n", " \n", " \n", "

\n", " ASD1 Notebooks on GitHub.io\n", "

\n", "

\n", "© Olivier Cuisenaire, 2018

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" ] }, { "cell_type": "raw", "metadata": {}, "source": [ "" ] } ], "metadata": { "celltoolbar": "Slideshow", "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.5" } }, "nbformat": 4, "nbformat_minor": 2 }