{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# INTRODUCTION À L'APPRENTISSAGE SUPERVISÉ (Machine Learning)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Introduction" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Dans une première partie nous allons aborder succintement les notions mathématiques et informatiques nécessaires pour une bonne compréhension des explications données sur l'apprentissage supervisé qui fera l'objet de la deuxième partie de cet enseignement. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# PARTIE I" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Les fonctions de plusieurs variables" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Exemple en physique:**" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$$v(x, t) = \\dfrac{x}{t}$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$x$ indique la distance parcourue par un objet et $t$ la durée de déplacement. $v$ est alors une fonction à deux variables réelles. Les deux variables sont $x$ et $t$. Il est important de noter que les deux variables sont **indépendantes**.\n", "\n", "$v : \\mathbb{R^+}\\times\\mathbb{R^+}\\longrightarrow\\mathbb{R^+}$
\n", "$v : (x, t)\\mapsto v(x, t) = \\dfrac{x}{t}$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "** Définition :**" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Soit $(x, y)\\in E \\subset \\mathbb{R}^2$\n", "\n", "On appelle fonction de deux variables définie sur $E$, le procédé qui consiste à associer à chaque couple $(x, y)$ de $E$ un réel unique. On note généralement : $f(x, y) = z$\n", "\n", "On peut se représenter z comme une *altitude* définie en chaque point du plan de base." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Représentation graphique d'une fonction à deux variables dans un repère en trois dimensions" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Définition : **" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Soit $f$ , une fonction de deux variables définie sur un domaine $E$. L’ensemble des points de coordonnées $(x, y, z)$ avec $z = f (x, y)$, pour $(x, y)$ parcourant $E$ est appelé **surface d’équation** $z = f (x, y)$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Pour représenter une fonction de $\\mathbb{R}^2$ dans $\\mathbb{R}$, on représente les points de coordonnées $M(x, y, f (x, y))$." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Exemple :** Représentation de la surface d'équation : $\\quad z = x^2 + y^2$" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "from mpl_toolkits import mplot3d\n", "import numpy as np\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# La fonction à représenter\n", "def f(x, y):\n", " return x ** 2 + y ** 2\n", "\n", "def affiche_3DXY(f, ddx, ddy):\n", " # L'intervalle de définition pour chaque variable\n", " x = np.linspace(ddx[0], ddx[1], 50)\n", " y = np.linspace(ddy[0], ddy[1], 50)\n", "\n", " # Calcul des valeurs de z = f(x, y)\n", " X, Y = np.meshgrid(x, y)\n", " Z = f(X, Y)\n", "\n", " # Paramètres de l'affichage 3D de la surface\n", " plt.figure(figsize=(10,10))\n", " ax = plt.axes(projection='3d')\n", " ax.set_xlabel('$X$',fontsize=14);\n", " ax.set_ylabel('$Y$',fontsize=14);\n", " ax.set_zlabel('$Z$',fontsize=14);\n", " surf = ax.plot_surface(X, Y, Z, cmap='jet',\n", " linewidth=0, antialiased=False)\n", "\n", " # Affichage de la surface\n", " plt.show()\n", " \n", "affiche_3DXY(f, [-6, 6], [-6, 6])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Dérivées partielles, notations" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "La dérivation d’une fonction d’une variable peut être généralisée. Les dérivées partielles d’une fonction de deux variables x et y se calculent de la façon suivante :\n", "\n", "* par rapport à x : on considère que y est constant et on dérive la fonction comme fonction d’une variable x.\n", "* par rapport à y : on considère que x est constant et on dérive par rapport à y." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "La dérivée partielle de $f$ par rapport à $x$ se note $\\dfrac{\\partial f}{\\partial x}$, la dérivée partielle de $f$ par rapport à $y$ se note $\\dfrac{\\partial f}{\\partial y}$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Exercices : ** Calculer les dérivées partielles $\\dfrac{\\partial f}{\\partial x}(x, y)$ et $\\dfrac{\\partial f}{\\partial y}(x, y)$ des fonctions suivantes" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "* Soit $f_1$ la fonction définie sur $\\mathbb{R}^2$ par $f_1(x, y) = x^2 + y^2$\n", "* Soit $f_2$ la fonction définie sur $\\mathbb{R}^2$ par $f_2(x, y) = x^3 e^y$\n", "* Soit $f_3$ la fonction définie sur $\\mathbb{R}^2$ \\ ${(0,0)}$ par $f_3(x, y) = \\dfrac{x^3y^3}{x^2+y^2}$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "On rappelle la loi de Boyle Mariotte, valable pour une mole de gaz parfait : $P V = RT $, où $P$ désigne la pression du gaz, $V$ son volume, $R$ la constante des gaz parfaits et $T$ la température du milieu. La pression P est donc une fonction des deux variables T et V" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "* Calculer $\\dfrac{\\partial P}{\\partial T}(T, V)$ et $\\dfrac{\\partial P}{\\partial V}(T, V)$\n", "* Même question si l’on considère à présent la relation de Van der Waals, avec les mêmes conventions que précédemment, et avec a et b réels :\n", "\n", "$$ \\left(P+\\dfrac{a}{V^2}\\right)(V-b) = RT$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Gradient d'une fonction" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "On appelle gradient d'une fonction $f$ en un point $M$, et on le note $\\vec{\\nabla}\\,f$, le vecteur dont les composantes sont les dérivées partielles de $f$ calculées au point $M$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Pour une fonction à deux variables on écrit :" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$\\vec{\\nabla} f : (x, y)\\mapsto (f_x'(x, y), f_y'(x, y))$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$$\\vec{\\nabla}\\,f (x, y)= \\begin{pmatrix} \\dfrac{\\partial f}{\\partial x}(x, y)\\\\ \\dfrac{\\partial f}{\\partial y}(x, y)\\end{pmatrix}$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**À faire : ** Quel est le gradient des fonctions suivantes au point $(2,5)$ \n", "\n", "$f: (x, y)\\mapsto x^2 + y^2 + xy$\n", "\n", "$f: (x, y)\\mapsto xe^y - 2xy$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Quel sens donner au gradient ?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Pour une fonction de plusieurs variables, la direction du vecteur gradient correspond à la ligne de plus grande pente au point considéré, c’est la direction qu’il faut suivre en partant du point pour avoir le plus grand taux de variation de $f$.\n", "\n", "La norme du gradient donne la pente de la surface (plus grande pente) au point considéré.\n", "\n", "Les points critiques d’une fonction $f$ de plusieurs variables sont les points où son gradient s’annule" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Courbes de niveaux" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Définition : **\n", "\n", "Soit $f$ une fonction définie sur un ouvert $E$ de $\\mathbb{R}^2$. On appelle courbe de niveau de $f$ associée au réel $k$ l'ensemble des points $(x,y)$ de $E$ vérifiant $f(x,y)=k$. Cet ensemble est éventuellement vide." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Exemples : **" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "# La fonction à représenter\n", "def f(x, y):\n", " return x ** 3" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def courbes_niveaux(f, ddx, ddy, dim):\n", " # L'intervalle de définition pour chaque variable\n", " x = np.linspace(ddx[0], ddx[1], 30)\n", " y = np.linspace(ddy[0], ddy[1], 30)\n", "\n", " # Calcul des valeurs de z = f(x, y)\n", " X, Y = np.meshgrid(x, y)\n", " Z = f(X, Y)\n", "\n", " # Paramètres de l'affichage 3D de la surface\n", " plt.figure(figsize=(dim[0],dim[1]))\n", " \n", " #Les courbes de niveaux\n", " cont = plt.contour(X,Y, Z, 10, colors='grey')\n", " plt.clabel(cont, inline=1,fontsize=10,fmt='%3.1f')\n", " \n", " # Affichage de la surface\n", " plt.xlabel(\"X\")\n", " plt.ylabel(\"Y\")\n", " plt.show()\n", " \n", "courbes_niveaux(f, [-6, 6], [-6, 6], (10, 5))" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "affiche_3DXY(f, [-6, 6], [-6, 6])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**À faire** \n", "1. En comparant le graphique des courbes de niveaux et celui de la représentation 3D, expliquer pourquoi les courbes de niveaux ne sont-elles pas régulièrement espacées. Un dessin sur papier est conseillé...\n", "2. Choisir une courbe de niveaux et calculer le gradient en un point de cette courbe de niveaux. Conclure quand à la direction du gradient par rapport à cette courbe de niveaux" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Des exemples plus compliqués**" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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JYn0wGOSBBx5gYGCAcDgsFk3QdXV18cYbb+iO5XQ62bp1KxMmTCAUCnH27Fm8Xi8+nw+XyyV9GCR/VRRFwWw262aCGo3GC1ojSkpKaGlpGbXc5/PxzW9+c9Ty6upq/vEf/1H8r1mL/pxn++zZs+zatUt83/nHGWoN/DxDjUOjn8OgcP2smebV1dV8/etfx2AwYDAYUBQFg8EgOmUNDQ1iqFMrUxRFiJQ5c+bQ2NioE1pDz3XhwoUsXDj6JKympiaamppGLZ80aRKTJk0atVyKJcnFpru7m46ODiKRCJFIhHA4TD6f5+677wYGh8aPHj2Kw+HA7/czadIk3XDz7bfffsnOXpdi7AtCiyzvcDiGxdWaOnUqP/rRj4Ty1xbNwtDW1qbrMRsMBrxeL9/4xjfw+Xx0dnYSCoXwer14vV4cDocUa5Jxh5bf9LPYu3cve/fupVgscsstt5DJZHjmmWe48cYbxTvjcrlIJBJin0QiIWbIpVIp8X4kk0nd+6JZwhwOB6lUSvyfTCY/c1KE0+lk6tSpo5ZrzuOjcb4YlkjGO+FwmLNnzxKJROjv7ycajRKNRrn33nsxGo3s3buXDz/8EED4XJeXl4v37pprrmHLli2jjhRdyu+LFGNjRElJCZWVlSNGUp4/fz6TJ0+mv79f9CAikYhoHD7++GPee+89sb3ZbMbr9XLnnXdisVg4ffo0iURCTCqw2WxSrEnGLQsWLGDBggXAoAvAk08+yebNm4UFCgatVL29vSQSCVwuFwcPHmTTpk3AoO/RsWPHmDp1KgcOHGDy5MnifdA+p0yZwssvv8ySJUvI5/N0dHRInyWJ5Dy0zAFD26VIJMKtt96Kx+PhyJEjvPnmmwAijV1VVZVwh1i+fDlLly7F4/GM2BEbGqbocmNcB329XMlms+Il0ARbIpFgy5YtKIrCM888w6FDh8T2JpOJ0tJS7rrrLgBaW1vFNHOPxyP8SiSSLzsvvvgiH3/8MT6fDxi0Gn/nO98BBp3w33jjDVRVZcaMGcJ/rre3l2effZZcLofP5+P666/HarVy7NgxOjs7ufLKK1FVlddee42TJ08CsHjx4gum9ZJILiU0y1Q8HufYsWNEo1FisZiwbG3evJna2loOHTok/CBtNhs+nw+v18uaNWvw+XxiprjMJfw/fN6gr1KMXYKk02kh0rSXSVVVMUP00Ucfpb29XbdPbW2tcJLctWsXhUJBiDWPx4PD4RjX0/wllw5aiA3t76E9bC0Ku8lk0j2v6XSaYrEownrA/4Qd0QL+5nI5kskkgEyPJblk0Gb7mkwmkskk+/fvF+2CJrg2bNjA7NmzaW9v59FHH0VRFJxOp6j/ly9fTmVlJalUilgshtfr1cXgkozOZRGBXzIyFxoCBfjGN75BPB4XL2Q0GtWN0X/00Ud0d3fr9mloaBDxhV5++WWMRiMul0vkcvP7/bjd7i/uoiSS/2aoo/35jNYb1wTXUM4PO6IN90sk44VMJkM8HsdsNuPxeERYpXg8TiwWIx6PE4/HWb16NcuXLyeXy/HGG29QUlIiRkVqamqEpbmqqor77rsPl8s14jDiZ/lBSv58pBi7DDGZTPh8PvECns/dd99NJpPRibWhY/lnzpyhv79fF7pj3rx5fPWrX0VVVX72s5/hcDiEUHO5XNTW1lJRUfGlCBwqkUgkX2aKxSKJREIIKpvNxsSJE1FVlccff5xYLEYsFhN18KJFi7j66qsxmUwcPHgQp9OJ2+0mGAzidrvFJDKPx8MDDzwwqlVLdkjGDinGJMMYmjJoqJO0hhZhO5PJiMpCm1yg+eXE43Ha2tpIJBKoqkpzczMVFRUkk0l+8pOf4HQ6cTqduFwunE4nc+bMoa6ujlwuR29vLy6XSw6NSiSSS47zrVaJRAK73S6C7f785z+ns7NTt09jYyMTJ05EURRMJhNlZWVMmjRJdHi1etpoNPKjH/1o1O/W0khJvnyMKzHW09PDoUOHmD17Nvl8nkgkgt/vlw32GGG1Wocl5rZYLCK3HAz28JLJpDB5GwwGvvKVr4hKKBqNcu7cOWpqaqirq6O3t5df/OIXwP+EB3G5XKxZs4ZJkyYRi8U4duyYEHJStEkkkrFmaDy79vZ2enp6SCQSop6zWq1cf/31ADz55JO6NFEAkydPFmJs2rRpTJkyRTeyoKXsgcE0UZIvH4VCgb6+Pnp6euju7qanp2dYbtULMa7EmNlsFuPVHR0dPPLIIxiNRkpLSykrK6OsrIxZs2bpHlzJ2GIwGHQpVOx2O6tWrRp1e5/Px4033qjrNWo+ETD4u7/00ku6fRRF4bbbbmPixIm0t7ezZ88eEePN6XTicDioq6vDarWKWUMSiURyIbLZLMlkkmQyycDAgIgpt3//fo4fPy7KkskkiqKI7Ba7du2itbVV15kcGrOupaWFQqEwameyubn54l6o5E9CVVWi0agQXMuWLcNoNPL666+za9cuYLDdCwaDulyrn8W4EmM+n4+GhgYAAoEAmzdvFjfk5MmTHDx4kNraWjweD0ePHmXnzp1CpJWXl1NWVjaiI6/ky4PNZqOxsXHU8ilTpnD//fcLkaYtmv9bMpnk3LlzJJNJnU/b3/7t32K1Wtm1axf/9V//JcSatqxZswabzUZfX58YdrXZbNjtdplTVCK5BBgavqG3t5eBgQEhphKJBBs2bMBsNvPOO+/w7rvv6vK3Ajz44IOYTCZCoRCdnZ04HA6CwSATJkzA6XSK469bt44NGzaMarHX2jDJl5+BgQEsFgsmk4njx4+zY8cOenp6dG3L9OnTCQaDzJ49m+rqasrLywkEAp8roPVQxm0r43A4hqUCSaVSulmBqqpy6NAhMpmMWHfffffh9Xppb2+nv7+f0tJSgsGgHEcfJxiNRjHdeiRmzJjBjBkzgP8JVZBMJoVTakVFBfPmzRPr+/v7OXv2LGvXrgUGc5+9//77umOazWZ+9KMfYTQa+fDDD2lvbxdCTVtmz54NDL68RqMRi8UiLXASyReAqqpkMhkGBgZIpVIMDAwwMDBAQ0MDDoeD9vZ2du/erStLpVLcfffdBINBDh8+zGuvvSaOp1mwWlpaMJvNVFRUsGDBgmHWdU1YrV69+oI5YOXIzPgkmUxy9OhRent76enpEUPNt9xyCw0NDSJlWVNTkzDulJWVCe1QXV1NdXX1n/3941aMjcTQKbfTpk1j2rRpqKpKLBYTN1d7UQ4ePMi+ffvE9m63m7KyMm6++WYURaG/vx+r1fqZKVEkX160mUFDZwdNnDhRl0f0fJYsWcKUKVNERZ5KpUin06KXk0wm6ezsJJVKkUqlgMHnThNjL730Eq2trRgMBjENPBAIcNNNNwGDuddisZiYIFFSUoLL5WLChAnAYDwss9n8J/eqLhf6+/t58cUXOXPmDM3NzSxfvhxFUYhEIjz99NPk83kMBgPxeJylS5eybNkydu3axZ49e8Qw9ZVXXsm0adOGHbunp4eXX36ZTCbDkiVLmDdv3hhc4eVBPp8nnU7rltLSUjweD5FIhD179pBOp8lkMqJ8zZo11NXVcfToUZ588slhx9QStKfTabq7u7Hb7Xg8HiorK7HZbKKjPmPGDKqqqrDZbDidzmEZSqZOnXrBNFeS8YmqqiSTSXp7e8XS19fHggULmDVrFvF4nBdffFEESW9oaKC0tJRAIABAfX099fX1X9j5XVJibCQURRGWlClTpoj1GzduZNmyZbofJZvNipdy27ZtHD9+HLvdLpzUq6urmTt37lhdiuQicCGrGwz6e2jJsovFomgwNObPn09NTY0QcqlUSjc0/umnn3LixAmKxaJYV1VVJaLIP/bYY3R1dWEymYRYmzhxIhs3bgTgrbfeIpfLYbVasVgsWK1WAoGAEJjd3d0YjUZRfqlZ6KxWK2vWrKG1tVW33uv1ctttt4mwKT/96U9Fkux0Ok1jYyOLFy8WM4VH4vnnn6elpQW/38/TTz9NXV0dfr//C7+m8YI2DFcsFgmHw2QyGbLZrPgsLS2lsrKSdDrNjh07xHrtHVm8eDGzZ8+mu7ub//t//++w42/atIn58+eTTCZ5//33xfNvs9koKSkRz3FFRQVr167VuRLY7XYR51DriI/GZ73jkvGNZoDR2na/38+0adNIpVL87//9v8V2VquVYDAo/i8tLeX73/8+Xq93TOrMS16MjYbBYCAQCBAIBEb0UVq+fDmTJk0SQu3w4cP09fUJMfbII49QLBYJBoNCPZeXl8sYLZcRBoNBNAQaDQ0NF/QJueWWW1BVlVwuJ3r8Q1m6dCnRaFSUZTIZ3fGPHTtGKBTS+bPMnDlTiLFHHnlEJw5hUCBu2rQJVVX55S9/KaLQa4mqGxoamDVrFoVCgZ07d4r1ZrNZTKMPBoMUCgVCoRAmk0m3jcFguGiVl3a/29rahn2nNsnj3Llz+Hw+MctXm0QydCLJ+fT29mI0GmloaEBRFCZPnsynn37KkiVLxoWYPT9+nxYHMJfLicVut4t8mx9++CGpVIp8Pi/Kq6urmTdvHqqq8thjjw0TWwsWLGDdunXk83n+7d/+bdg5rFixgsrKSorFIvv27ROdAU1UadZet9vNqlWrdNbhkpISYYGoqqrioYceGvW+e71errjiii/iNkrGEfl8nnA4TKFQEAHOH330UTo6OnT149y5c5k2bRp2u52NGzfi9/sJBoO4XC7dM2Y0GkeNvXkxuGzF2Gdx/nCW1oBqVFVV0dXVxbFjx9i/fz8Ac+bM4brrrkNVVf7whz+IrPSBQIBgMIjT6RwXFbvki0VRFNFQnZ+14Hw/yPO5++67gUGrXC6X01lzAbZs2UI6nSabzYqGtKKiAhh8hu12O9lslng8Ti6XI5/Piwool8vx1ltvDfvOlpYWmpubSSaT/Md//Mew8rVr13LFFVcQCoXEDGej0YjJZMJoNNLc3ExjYyN9fX289tprolxbFi5cSFVV1Z90Dy+Uxu3AgQNMnz5dCBNNZO7fv5+amhquuuqqYZH6w+EwgUBAWH/Kyso4c+bMBc/h3LlzxGIxVFWlWCyiKAozZ84E4OTJk4RCIVGmpWhauHAwK8qhQ4fo6+sjn89TKBQoFArY7XZWrlwJwBtvvEF3d7coKxQKBAIBrrvuOgAef/xxurq6RFk+n6e+vp5bb70VgF//+tdEIhHd+U6bNk0Ml+/YsUPMAtREtyaWtHVDratWq5W6ujpgUPRu2bJFrNc+HQ4HMCiYf/zjH49632w2GytWrBi1XNaREg1VVRkYGBDP1h//+Efa29sJhUIizd/QVH6lpaWUl5eL0axgMCj2BcT792VEirHPidaAaqxbt078nUqlCIVCooLPZrOEQiE+/fRT8vm82G7FihWsWrWKbDbLe++9J0RaIBCQEwgkfxIGgwGr1TrsubmQr4vBYODmm28etdxqtfLggw8KkTbUogKDKYW2bt0q1mvbaP5uZrOZxsZGnUAoFArivSgUCiSTSZ0AKRQKF5w9+1mM1HAfOXKEO++8U5TNnTuXRYsWAfDuu+/y1ltvsXbtWt2+Wpwobd3nEQTvvfeebrjUYrEIMbZv3z4OHz6s297pdOrE2LFjx3SideiQieZ4rglWi8Wi84mtra3F6/Xq9tcsSwDr168X915bhlpYv/e974n8nSNdq5b6bCQURRE+khLJX5O2tjYhtrTF4XBw//33A4jYXTU1NcyZM0eMTGlo7hzjEZko/AtEG7vWHqrKykpqamro7u7mZz/7ma5373Q6ufrqq5k+fTrJZJL29nZ8Ph9+v18KNcllzd69e9m7dy/FYpGbb74Zt9vNjh07MJlMLFu2TCcm2tra+OMf/8g3v/nNEUVGJBLhiSee4J577kFRFGEJO336NDt37uTGG29EURQ+/PBD4vH4BWPi9ff3k8lkUBQFg8EgXB9gUEwVCgVdmcFgEB06zZImrUCSy4n+/n7OnTtHf38/4XCYUChEJBLh/vvvx2Aw8NJLL7Fv3z58Ph/BYFAMKS5YsGCsT/3PRiYK/xIwdPKA5kwMUF5ezj/90z/R399PX1+fEGuaU+mZM2f4/e9/L7a32+34/X6uvvpqKisricViRKNRfD4fDodDVuiSS5oFCxawYMECXcBeg8GA0WjtGqHHAAAgAElEQVQc9uwfPnyYWbNm6dZnMhnRoTl16hQej2eYBayqqorOzk5yuRwWi4UDBw7orN8jcSH/ks+ahS0zRkguRbSZrOFwmP7+fiG6brrpJlwuF4cPHxauEE6nk0AgwJQpU8SkpDVr1rBhw4bLcja5FGNjhDZ9dqiJVWPy5Mncdddd4kHWHmqtQfnkk0/Yvn07MDg0olnQrr76apxOJ/F4nHw+j8fjkZW+5JJBURSSySQ///nPSafTKIrC+++/z7333ovVaiWfz3PkyBERM05j+/bt9PT0oCgKNpuNDRs2AJBIJNi2bRs33HADJpOJlpYWfvWrX6EoCrW1tX9RzCCJ5FKkUCgQiUSGtU0rV66kvLyco0eP8txzzwGD76vX68Xn8wl/66amJqZOnYrP59O5/WhczkHZ5TDlOCSRSNDZ2Uk4HNa9EHfeeSdWq5XXX3+dnTt3YjAY8Hg8ItbWxo0bMRqNRKNRFEXB6XRKsSYZd2hhQbQZhEMzJORyuWHO+ZlMhkKhgKqqGI1GUeFrcYecTqc4bjQapVgs4nQ6pXuA5LKjWCwSi8WIRCJiiUajNDU1MXHiRE6ePMmvf/1rsb3JZMLv97NhwwYmTpxIPB6nu7sbv9+Px+O5LC1c5yOHKS9hnE6nLmba+TQ1NREIBAiHw0SjUSKRCKdPnxYvxptvvsmhQ4d0Yq20tFRYDLTJCFKsSb6MXOiZPF+IAaOKKq1DMvS4Yzm1XSL5otHyKp4vthoaGpg5cybRaJR//dd/1e3jcrlEsNOKigquvfZaMRpzfoSAzwohIxkdKcYuQbQ0DaOxePFiJkyYIF7ESCRCT0+PKH/hhRc4ffq0TqzV1taKafcdHR1YLBY8Hs+IjZ9EIpFIxobe3l6i0SixWEz4F1dWVrJ48WIKhQIPP/ywbnuXyyXaC7fbzaZNm8Roitvt1lmebTabDHz+BSHF2GVITU2NCP44EqtWraK3t1cn1obGLHrqqaeIRqPA4MvpdrtpbGwUkemPHDmCzWbD4/EMe5klEolE8udz+vRpMeqhCa5AIMD69euBwSweyWRSbO9yuUSsLZPJxHXXXYfT6RxRbBmNRubPn39xL0gCSDEmGYG6ujoR4HEkrrvuOqLRqK4y0IaOVFXl6aef1qX7sdvtLF68mObmZlRVZefOnbjdbpxOpzBrX2ppeyQSieTzoAUU1xzajx8/TmdnJ9FolHg8TjQaxeFwiIC+r776Kh0dHQAi/+bQiWCbN28WAaVdLtcwv605c+ZcpCuT/CmMKzGWTqeJRCIy5dAYcyGhBnDvvfcOM5NrOf6SySRvvPHGsH1WrVrFihUrSCaTbN++XYg0TbCVl5fLpO0SiWTcoKoqmUyGeDxOMpkUGV0++ugjjh8/TiKRIB6PE4/HsVqt/MM//AMwGFfvk08+EaMOHo9H53Zy7bXXYjKZRh11uFA6NsnFQcvfqo0gfR7GlRgLh8O8/PLLIjr022+/jdvtpqKigrKyMjkc9iVAURSRAmoknE4nP/7xj4lGo6IySiQSIop7KpWis7OTTz/9VJd+6tprr2Xu3Ll0dnbyzDPP4Ha7Rc/P7XYzZcoUPB6PmDUnnwWJRPJFkcvlSCQSYonH48yfPx+TycTu3bvZvXs3sVhMV4c99NBDGI1GQqEQ3d3duFwuampqcDqdurRo11xzDVu2bBnVH/dC/sCSsaOtrY3W1la6urro7u4mn8//Se3QuAptMWfOHHX79u1UV1eTz+f5l3/5F5EU2WAwEAwGWbJkCfPnz0dVVdLptC6FiGT8oKqqyKEYj8dFYteuri7eeecdYXVLJBKoqsqtt97KpEmTOHLkCL///e8pKSkRVjWn00lLSwt+v59IJEI4HMbpdOJ0OrHZbHJ4VCKRCJLJJJ2dnTqxlUgkWLt2LW63m127dvHKK68M2+/73/8+Pp+PQ4cOcfToUWHd11wyJkyYIGenj3MGBgbo7Oykq6tLLLfffjt2u5133nmH999/n4qKCioqKigvL6e8vJyqqqrPFdpiXImx8+OMqapKf3+/uDnd3d3MnDmTpqYmwuEw/+f//B+8Xq+4ORUVFdTW1srhrkuIYrFIIpHAZrNhNpvp6emhtbWVRCJBMpkUvdZvfOMbBAIBPvjgA1599VWxv8FgwOl08u1vfxuPxyNyo9ntdux2Ow6HA7vdTnl5uaxIJZJxRi6XY2BggGQyidfrxW63Ew6H+eijj3R1RCKR4Prrr6euro7Dhw/z9NNPi2NYLBacTidbt26loqKCc+fOceLECdGhG7rIjt2lgaqqRCIROjs7qa2txeVycfDgQZ599lmxjcfjoaKignXr1uHz+cjn8yNmBfm8ccbGtRi7EIlEgv379wv1GgqFANi6dSszZsygu7ubjz76iLKyMpHlfaSIwJJLi2QySV9f37Be74YNG7BYLLz99tu88847nP9ePPjgg5hMJt58800OHz4sRJr2uWbNGhRFoaenh2w2K9bLiQkSyV+XfD5PZ2enEFnaZ2NjI3V1dfT09PCf//mfDAwM6IYJN2/eTFNTE6dPn+axxx7DbrcLy7nD4WDp0qWUl5eTTCYJhUJCYMl24dJGS7MWi8V499136e7upru7W4y6XXfddcyZM4f+/n5aW1uprKykoqLic4+6XfZBX51OJ1/5ylfE/9lslu7uboLBIAB9fX3s27dP97L6fD5uvvlmgsEg0WiUXC6H3++XFpFLCIfDIaZ5j0RLSwvNzc2kUilRyadSKTH2HwwGqa2tZWBgQESbVlWVq666Chj0Y2xtbRXHMxgMlJaWcs899wCwY8cOwuEwJSUllJSUYLPZ8Hq9NDY2AhCNRjEYDNhsNun3JrkkUVWVeDxOOp0mlUqRSqVIp9P4/X4mTJhALpfjhRdeEOXa59KlS1mxYgUDAwP86le/0h1TiwRfV1eHzWajrq5umHW7qqoKgNraWh566KFRO0mfVUdIxieqqtLT00NPTw/d3d3i70WLFrF8+XIUReHAgQOUl5cze/Zs3XAjDOqDZcuWfWHnd9nU9haLhdraWvH/zJkzmTFjBv39/bofRosevGfPHt59911MJhPBYJDy8nLKyspYsmSJTPFwiaMoiqjINfGu0dTURFNT06j7rly5knnz5oke+8DAgE5UadkQ0uk06XQagMrKSiHGnnzySTo7O4HBBsZms1FfX891110HwOuvv042m8VqtYolGAyKRPTd3d0YjUZRZjabLynLXCQS4YUXXuDMmTM0NzeLShTgF7/4BYVCAaPRiKqq3HHHHRiNRorFIs899xzd3d34fD6uu+66EaPyt7e38+abb5LP51m5cuUFs1xcjgxN1B4Oh0mlUmQyGbE4HA5xz1577TUSiQSZTEYIrsmTJ4tYWP/6r/9KoVDQHX/BggVMmDABo9HIuXPnsNlslJSU4PV6KSkpEY2iw+Hg5ptv1lmnhzq7u1wu8b6MxKX0PkiGo6oqsVhMtOsul4umpiaKxSI///nPKRaLwse8trZW1PFOp5MHHnhgzJ6Py0aMjYSiKPj9fvx+P9OnT9eVzZ07l0AgIERaW1sbn3zyCVdccQUAr7zyCl1dXbphztLSUjlh4DJntOTvGtdee634u1gskslkyOfzYl1LSwuxWExnMRiaokcL+JhOp0UstxkzZggx9uijjwqRB4PP+Pz587nmmmtEudlsxmKxYLFYMJlMTJ48mcbGRorFInv27BHlZrMZs9ks8swVi0UGBgbE+rGwGFssFlavXs0nn3wyrGxgYICbb74Zt9tNsVgUnab3338fl8vF2rVr2b17N7t27WLFihW6SldVVbZv38769euxWq0899xz1NbWjtvExdlslkwmQy6XI5fLkc1mAUSH9NixY/T395PNZsU2NpuNFStWALBt2zY6Ozt1YquiooJvfetbADzxxBP09fXpvnPy5MlCjJ06dYp0Oo3VasVms1FaWirC2yiKwjXXXIPZbBaCy2azCWuUwWDg+9///qjXZjQapVCWoKqqGL3QZpg+9dRTnDhxQgwxAsKP3Gg0cuONN+LxeAgGg8OMKmMt0i9rMXYhRgrPkMlkxA/mcDgoFAocOHBAVHSlpaXce++9AHzwwQdiiCoYDErnTskwtOHIoUydOvWC+9xxxx3i73w+r6t0ALZs2UI6nR7WiAJCoKRSKSKRiGiIbTYbjY2NZLNZtm/fPuw7m5ubaWlpIZFI8NOf/lSsNxqNmM1mVq9ezcKFC+nv7+epp57CZDJhNBrF5+LFi5k8eTKRSERYm4eWT58+/YICdiiaxfLEiRPD3ieDwYDb7R5m9Tp06BBbt27F6XSyaNEifvvb37J8+XJdZdzW1kYgEBCxoMrKyjh16pSwWI5ELBYjk8lQLBZRVZVisShC7ESjUcLhMMViUVc+efJkzGYz3d3ddHZ2ks/nKRQK4lM7r9bWVtra2nRlxWKRm266CYB33nmH1tZW3f4Gg4H7778fgOeff54jR47oztflcvGDH/wAgN27d3P8+HFRZjabKS8vF2JMVVWsVisul0tYWYfWh+vWraNYLOostEOf5bvuuuuCv6NMqSP5vAy1yH788cecOHGCvr4+ent7SaVSBAIBvvvd7wLg9XqZPXu2GMkqKyvTdag+q34dS6QY+xMYWsmvWLGCFStWiFkXfX19OrP73r17dT3HkpISmpqahJn+1KlTeL1ePB6PFGmSPwuTyTTMr+xCFgODwSCieI+EFnhSs5RoFhWPxyPKN27cqLOm5HI50UgrioLb7RbiQLP6aX6ZAwMDtLa26gQGDPrhfV4xpjHSxKNCocBjjz2GwWBg0aJFYjg5FouJQNEul4tYLDZs31AoRGlpqRjCKCsrIxwO6xqC83nllVd0/oEAf/u3f0swGOTIkSO89tprw/b5u7/7O8xmM62trezYsWNY+eLFizEajXR1ddHa2jpMuGrnY7VaRdBPrXxoozNv3jzq6+uFFdNsNuvKtWE8s9mMyWQado0bN24c8Zo1ZGBRyRdBPB6no6NDiK3e3l5isRg/+MEPUBSF48ePc/ToUUpLS0UnbmjctbVr147h2f9lSDH2F6IoCj6fTzeUBINR6BOJhHig+vr6hJk+n8/z61//GlVVMZvNojGaOXMmU6dOFb1o6ZsmuZgoinJBx2Wr1crChaNPCvJ6vXz9618ftbyqqoof/vCH4n/tOf9LOiND973ttttwOBykUimefPJJ/H4/tbW1wwTVSAJLE2HaekVRLijEAJYuXcqMGTMwGAxiX83ndMaMGVRWVooyrVy7v4sXL6apqWmY2NKGfleuXMnKlStH/e4lS5awZMmSUcs/SyzJ8D6SsSKXy9Hf3y8EV19fH1dffTU2m409e/bwzjvvAIMdp2AwyIwZM8jn85jNZjZu3MhXv/rVS9KAIcXYF4RWMbtcLuHPo2EwGPjmN78pHsS+vj5OnTpFeXk5U6dOJRaL8fDDD+P1esVwaSAQYPLkyULQSSTjHUVRPleHY+/evezdu5disSh8wjTL2FDBpL0bVquVadOmcebMGRFXUAsAnc1mdYF+tf3tdjtdXV3if23440JoWSNGwuPxCIviSGjDrRLJpUixWCQajRIKhQiFQjQ2NuLxeIbF6oLBTpwWK3Lu3Lk0NDRQWlo6or/mpTzD/NK9si8xBoNhxGTcWgNjNBpZsWKFeJDb29vJ5XJcf/31+P1+zp49y0svvUQgEMDv9wuxVl5eLmPiSC45FixYwIIFC3TCy2Aw6AIsnh9w8dSpUyxduhSASZMm8fHHH7No0SIOHz5MfX29zgKmbbNjxw7WrVsHQGtrK7fddttFvU6JZDyhOdCHQiHR+dDS1fX39+vcdlwuFx6Ph8rKSpqbmwkEAgSDQQKBgK7NGmmU6XLhkg36eimhqiqJRAKLxYLVauXcuXO88847hEIh+vv7xay622+/nQkTJnDixAkOHjwoxJr2gMuZnpLxTjKZ5Be/+AWpVEr4Tt17772kUimeeuopYLBX3tDQwKpVqzAYDMTjcf7whz+I2X3XX389Ho+Hrq4u9u3bx9VXXw38j1M8wLRp02hpaRmry5RIvhRoggsGJ60NDAzwyiuvCEOBNoFo7dq1XHHFFUSjUV555RWdkSAQCOBwOC7JocXPw2Ufgf9yoVAoEIlECIVC1NXVYbVaOXDgAG+++SbxeFy37f3334/H4+Ho0aOcPXtWiDSfz4fb7ZbBbSXjAm12ova3FmNKm9WsJYofOgSaTqeF9UzrlBQKBVKpFE6nExi0rkUiEVRVxefzXdJDIhKJRrFYJJvNUlJSgqqqvPHGG/T399Pf3084HCabzbJ06VLWrVtHPp/n3/7t34aJrYqKCvEeSfRIMSYhm83qXqqlS5diMBh488032blzp7CoweBY/I9//GMMBgMff/wxsVgMn8+H3+/H6/XK4U+JRCIZp2jBkAE+/PBDuru7RdsQiUSYPn06W7duBeCnP/0pFotF11mvra2lurp6LC9h3HLZp0OSDAbI1DLHD2X16tWsXLmSaDQqXsiBgQFhGfv444+HTdmvqKjg7rvvBuDAgQPkcjk8Hg9erxev16uLgC2RSCSSi0c+nxeW3I8//piOjg6i0SiRSIT+/n78fr+IUfjRRx8RiUTw+XxUVVUxc+ZMampqxLHuv//+y3ZIcSyRYuwyxWAwjOosuXXrVlKplM6qNvTl/OCDD+jq6tLt09DQwC233ALAzp07MRqNQqx5PB5KSkrkCy6RSCR/IqqqitnAAJ988gknT54kGo0KwWU2m0VA30OHDnH8+HHhVN/Y2KjrkH/729++4BC8rKfHBinGJMMYmptxJNP0d77zHeLxuKgIotGoLj7VBx98MMxframpic2bNwODeescDgdut1ssLpdL+uhIJJLLjlwuRzwex+v1YjAYaGtro7W1VSe28vk8Dz74IEajkRMnTnDgwAHR2a2pqcHr9YrZxlu2bLlgTlpZz345GVe/SjqdJhKJyKj1Y4zBYBC9rpFiLf3d3/0dAwMDQqhFIhERAyqXy7Fv375haXyuuOIK1q5dSzab5emnn8blcunEWnl5+QUDkkokEsmXjVwuJ0RVdXU1JSUlHD9+nF27dhGPx0UeWoD77rsPr9dLZ2cnR44cwePxEAgEmDRpEl6vVwQCX7duHRs2bBi1DZT+vWOPqqqEw2H6+/s/9z7jSoyFw2EefvhhfvCDH+ByuTh9+jSpVIrq6mo5k+NLhBZp3OFwDLOsmc1mHnjgAdLptKiMYrGYSIeTTqeJRqOcOXNGVFIwmAtv6dKlhMNhnnnmGTweD263W9c7lM+ARCK5WBQKBRKJhKjHampqcLvdtLe38+qrrxKNRkVYCPif0EO5XI5kMonX66W2tlZ0OLUgp8uXL+crX/nKqN8rM7N8OTl79ixHjx6lo6ODjo4O0un0n/RbjavZlE1NTeqjjz7KvHnzAPjDH/7Axx9/DIDb7aaqqora2lqWLVs2lqcp+Suhme+13IJer5fe3l5R0Wnme4AbbriB6dOnc+LECZ599lkx9Kktc+bMwev1ks1mKRQK0odNIpGMiBZbS6t74vE48XichoYGampq6Ozs5Le//S3JZFK335YtW5g9ezadnZ289dZbYvRAWyoqKoYlsZeMP5LJpBBcHR0dXHvttdjtdt555x127NhBWVkZVVVVVFdXU1VVRWVl5aUf2iKbzdLZ2Sluyrlz5ygpKeGuu+4C4LnnnqNYLFJVVaXdFDnr7xJCVVVSqRTRaBSv14vNZqOrq4tdu3aRSCRERZpKpbjzzjuprq7mo48+4oUXXsBkMunE2tq1a3G73YTDYeED53Q6dalzJBLJ+KdYLHLq1CmdVSuRSDBt2jTmzJlDJBLh4YcfHrbf+vXrWbJkCfF4nLffflvUHVrHz+/3yyHCS4xMJoOiKFgsFk6cOMELL7xANBoV5cFgkK997WuUl5eTyWREntmhXBahLSwWy7C0QpqlROPUqVMcOnQIGBw+W7BgARs3bgSgq6uLQCAgBdo4ZehEA42KigquvfZa3Xb5fF6E7aipqWHdunWiAo7FYnR2dgrBdejQId5++23ddzgcDu69915sNhutra2cOXNGiDVtOLaiokKKNonkIpPP50kmkySTSUwmE2VlZQC8/vrrxONxkskkiUSCZDLJzJkz2bBhA6qq8pvf/EYcw2Kx4HK5RDvicrlYv369Tmg5nU4x5ORyudi0adPFv1jJF0qhUODcuXM6A09fXx+bN2+mqakJl8tFTU0NixcvFsadoZbOv9TqOa7F2EgMVaXa7L14PC4sZ1ry30wmw89+9jMURSEYDFJRUUFFRQVTpkwR/kuSS4Ohz0RpaekFf9/58+czYcIEXSWeTCbFi3bu3Dk+/PBDneg3GAw89NBDALzyyiu0tbUJsWa323G73cIHpLu7m3w+j91ux2azYbVapYiTSNAnfe/q6iIejzMwMEAqlSKVSuFwOFi8eDEAjz32GF1dXaTTabH/tGnTuOmmm4DB3KKqquJ0OvH5fNTU1FBbWwsM+lzdfvvt2O12XC7XsEbUaDSyZMmSi3HJkjEimUzS2dlJV1cXpaWlTJs2jVQqxSOPPAKA0+mkqqqKWbNmUVlZCQy2HV/72te+sHMa18OUfwm5XI7jx4/T1dVFV1cXnZ2dxONxNmzYwOLFi4lEIrz66qtUVFRQWVlJRUUFLpdLNpwSVFUlm80KoZZOp5kyZQowGN365MmToiyZTFJSUsJ9990HwOOPP05bW5s4lqIoVFdXi4CMb775JolEApvNJgSbz+dj0qRJACQSCUwm02Ur4iKRCC+++CKnT5+mubmZ5cuXoygKAwMDPP/880QiEQAWLVrEwoWDIwO7d+9m7969WCwWVFVlxYoVTJs2bdix+/r62LZtG5lMhkWLFjF37tyLem2XEplMhlQqRSaTEYKqWCwya9YsAN59913OnDkjygYGBvB4PCKw9C9/+UvOnj0rjqcoCvX19dx6660AvPHGG2SzWZ112u/3C8uYRAKDdXUmkxGpnn7/+99z9uxZXeilhQsXitGy48ePU15ejtPp/KvVr5fFMOVfgtlsZvr06UyfPl2sSyaTwhSdSCTo7e3lk08+EeV2u50bbriBuro60Qj7/f7LslG8nNESVFutVhGyQ2PRokUsWrRIt25oh+eqq65i0aJForc/MDAgZlEBhEIhzp49SyqVEta3iRMnCjH2yCOPEA6HAcQ5TJ06VVQm27ZtQ1VVrFYrJSUlWK1WysvLRQiS3t5eLBYLJSUlmM3mcZeP1GKxsGrVKt17CYN+QMuWLaOsrIxischjjz1GbW0t5eXlQiwvXLgQRVFE8Mzzef7551m2bBl+v5/nn3+eurq6EYMiXw5oDuzpdJpMJiM+tXt48OBBjh07pisvFot897vfBeDll18W7iEadrtdiLFIJEIsFsNms+HxeESnQ2P9+vWoqio6JedPuFmzZs1FuAuS8UYoFBJDjZqhpby8nG9961soiiJEvTYSVlFRoasPGhoaxuzcL1sxNhJD41jV1NTw3e9+l0wmQ3d3t/hxvV4vAIcPH+aVV17BYrFQUVFBWVkZ5eXlzJkzRzpxSnQMbURGSk81lBtuuEH8ncvlGBgY0Im5lpYW4vG4roEcKgjb29tFuZZ7dO7cuUyYMAFVVfmP//gP3fFMJhNLlixhzZo15PN5Hn30UcxmMxaLBYvFgtlsprGxkalTp4oYceeXBwIB3G63mOqvJenWPv+anRXNR/DEiRO64zqdTl1ok2AwSDQapby8XMTF097dkejr6wMGh7oMBgP19fV8+umnLF68+EvT2dJ+N0VRxLORz+fJ5/PkcjlyuRxVVVVYrVZ6eno4ceIE2WyWXC5HNpslm82yevVqnE4nhw4d4oMPPtCV5XI57rvvPpxOJx988AF//OMfh51DU1MTFouFcDhMR0eHEP2BQEBYHxRFYe7cudTX12O1WoWgGurbec0111zwWmUeRMmFSKVSdHd309PTQzweZ/Xq1QC8+uqrHDt2DKPRSHl5OTNmzBDD04DIv/llRIqxz8BqtTJhwoRhwU2nTp2K2WwW6vvQoUPs2bOHOXPmAIMpgdrb24VIKysrIxAIyBgxks+N2WzG4/Ho1s2ePfuC+/zN3/wNMNhw5/N50um0zvp1/fXXCxGnNcBaXrpisUhJSQnZbJZYLCbKg8EgU6dOZWBggFdeeWXYd65du5YrrriCcDjMv//7vw8r37RpE/Pnz6erq4vf/e53QqhpS0tLC/X19X/SvRnNvUIbQj537hwbNmwABp289+zZw/79+6mpqeGqq64aNuMpHA4TDAbF/xUVFZw5c+aC59DW1kY4HKZYLIqlvr6eqqoqEokEu3fv1pUVi0XmzJlDTU0NoVCIHTt2CDGlLatWrWLixImcOnWKZ599lkKhIMoKhQK33norkyZN4ujRozz99NPDzumOO+6gpqaGc+fO8eqrrwKDPo2acF6+fDlOpxOTyYTdbhfrtU/tvsycOVOEYtAsrJo1FQY7BS0tLaPeG82SK5H8JeTzefr6+igvL0dRFHbt2sV7772nG2a02+00NzdjMplYtWoVa9asIRgMjjurvxRjfybn53VUVZV4PC6sYqqq0t/fz/Hjx4WFwuFw8Pd///coisKxY8dQFIWysjLpiyb5q6MoCmazWTdTWFEUZs6cOeo+FouFb3zjG6OWu91ufvjDHw6zpmjvgdPpZNOmTToBkc/nhQOsxWKhvr5+mAD5az77iqLwxBNPcOWVV+JyuYBBy+CCBQsAeO+993jrrbe46qqrdN9bKBR0lbeiKKMKPo29e/fS2tqqW7d+/XqqqqoYGBjg3XffxWAw6Jba2lpqamrIZrOcPXtWJ0pNJpM4J7vdzqRJk3TC1Wg0CutedXU1X/3qV0W59ltrk1NmzZpFY2MjFotlxA7g+S4a5/NZFlyJ5Iugr5PDbL4AACAASURBVK+P1tZWenp66O7uJhQKUSwW+d73voff78fhcFBfXy+MHOf7d1VUVIzxFfz5XLYO/BcLTdn39PQIx2CAn/3sZyLZts1mo6ysjIaGBjHrLpvNyuFOiQTYt28fe/bsoVgscvPNN+N2u9mxYwcmk4lly5bpRNVTTz1FMBikubl5RBESiUR44oknuOeee4TgUhSF9vZ2PvjgA2644QYURWHPnj3EYjFWrlw5qljUnNIVRRFiy2QyjbseuURyMUkmk/T29tLb2yuGGq+66ipqa2tpbW3lqaeewuPxiBGl8vJyGhoadL614wnpwP8lwWQyCUfBodx2223iQdQ+NcdsgIcffhiDwUBpaSnBYJDS0lJqa2vHtfKXSP4c5s+fz/z583WhDwwGwzB/tO3bt+NyuVi1apVu/6Edm9OnT+N2u0WZtn91dTUdHR3k83nMZjMHDx5k9erVF7TajTYRQCK53NFGinp7e+nr66O6uloMn/+///f/xHbaBKNCoQAMOtA/8MADl2WmAmkZ+xJSLBZ5//336evrEz2IbDYrkmnncjkef/xxAoGAiJtVWlqK2+2Ww52SS5pkMskvfvELUqmUmNV677330tvbyy9/+UtKS0tFCIuVK1fS0NDA888/T09PD4qiUFJSwrp16ygtLSWZTLJt2zbh1Lt371727NmDwWCgsrKSq6++Wlq5JJILoKoqkUgEVVXx+/1kMhl+85vf0NfXRyaTEds1NzfT0tJCNptl3759wsBwObRZn9cyJsXYOEDrZSiKgsvlIhaL8cwzz9Db26tLRKul60gkEuzfv19Y1bxer5w4ILlk0HrRqqqiqipms1k47iuKQrFYRFVV4S+VSqUoFAqoqorRaBSz+orFIvF4XEySKBaLwkfF4/GM22ERieSvzVCr9HvvvUd3d7eweuXzeZqamti8eTOqqvLEE0/g9XqFkSAYDOJwOC550TUaUoxdJiSTSWFBq6uro7S0lLa2Nh5//HGxjaIo+Hw+rr32WiZMmEAsFqOvr0+EJLhcXxKJRCKR6Glvb6erq4tQKEQ4HCYUCuH3+0XA3X//938nm83qXGiqqqqkC80oSJ+x/8/em0ZHed15/p+qUpVqV6lUJZVK+4IWJEAgBAQDBtuxwSbGjZ3F22SSduK2k44dJ07cfTLz7t99el7MmZxJ96TbOZlx2nFMTztux8HGseNgA7YxGBCbBJLQUtqrJJW22queeaH/c6NCgPECQtL9nPMcqLrPU7olPc+93/u7v2WJoGafnl2fs6Kigh//+McEAgFGRkbEoeZRO3/+PHv37gVmfNqcTic5OTls374du93O9PQ0MBPRJYWaRCKRLB5UB3p1XhgdHSWZTPLggw8CcODAATo6OjAYDOTk5FBYWJiW9+3RRx+VOy3XACnGFilGo5HCwkKRQ2o2dXV15OTkpK18hoeHRRqEw4cPc+DAAZHMURVrmzZtQqfTkUgkPvdknhKJRCL57CiKwtTUFGNjY4yNjTE6OkowGOSee+5Bo9Hw1ltvceLECWCmDqfT6cTtdoutyDvvvBODwXDZrUUpxK4NUowtQUwmE2VlZZdNtFlbW4vZbBZiraenh3PnzrFlyxYAfv/739PS0iJyrTkcDlwul8jlNNu/QCKRSCSfL/F4nGAwKATX2NgYN998MyaTiXfffZf9+/eLczUaDQ6Hg3A4jNlsZt26ddTX1ws3lYuDVC4u8Sa5PkgxJplDfn6+SNSpkkwmhcCqqqrCaDQyNjbGyMgI7e3tOBwOIcaef/55AoGAEGvZ2dnk5+eLYtoSiUQiuTKRSETsXIyMjLBq1Sqys7M5efIkL7/8ctq5BoOB1atXYzKZWLZsmaj1qS6WZ1ecuHhsl9wYSDEmuSpmm6aXL1/O8uXLxWtFUYhEIuJ1dXU1NpuNsbExOjo6mJycpLy8XIix//N//g+AGCgcDgcej0dm/JZIJEsGNZp3bGyMYDBIQUEBbreb3t5eXnzxReG7q5Kfny8Wttu2bUtb7M727/V6vXi93vn4SpLPgBRjks+MRqNJS4C5bt26tPZYLJaWcyYnJwe/3y+EGsyUrNm1axeKovDP//zP2Gw2HA5HmmXtSoWeJRKJ5EZCURTC4bAQW9nZ2Xi9XiYmJnjuuecIBoOiVB7M1HhVc29VVVWRk5MjfHadTqewbqkpIyQ3LqlUSpRzuloWpBj73//7f6PX6ykqKqKoqIiCgoIlmbF3oWAwGNJKO33pS18S/08kEgSDQeG3EI/HcTqdBINBent7hcVty5YtbNu2jVAoxPPPPy8saqp1LT8/H6vVen2/mEQiWbIoikI0GmV8fJzx8XGMRiPFxcUkk0meffZZxsbGiMVi4vwNGzbg9Xoxm814PB5qa2vTFpxqvju73c7dd989X19L8inp7++ntbUVn89HX18f8Xj8EyWNXnBiTFEUcnNz6enpEU6KGo2GjRs3ctttt6EoCuPj42RlZUkn8gVARkYGLpdLvDYYDHzlK18RryORCGNjY8LyFo/HsVgs+P1+zp8/LxKAfulLX2LNmjUMDg7y8ssvY7fbsdvtZGVlYbfbqaioEIWjJRKJ5OOIxWJMTEwwPj7OxMQEBoOBuro6YMYgMDg4mCa2li9fTnFxMTqdjtzcXEpKStLEVnZ2NjAz5qlVHyQLD0VRGB0dxefz0dPTw6233orFYqGzs5ODBw/i8XhYvXq1MBb91//6X6/qcxecGNNoNNx1113AzETd29uLz+cTe+Tj4+P89Kc/xWq1il+GWtNxthOjZGFgNBrTHE6zsrJEPpzZIdzqQKcmuJ2YmKC/v19UKHjooYew2Wy0trby6quvCpGmCrZVq1ZhtVpJJBJoNBoZvi2RLGISiQSTk5NCaI2Pj6PVarnpppuAGb/W7u7utGsKCwuFGCsoKCA/P1+MH1lZWWlRiLt3775+X0ZyXRgaGuLtt9/G5/MRDoeBmflp9erVWCwWGhsbaWpqStsF+iQsugz8oVCIM2fO4PP58Pl8BINBAO69917q6+sJBoMMDg5SVFQkkqBKFi/xeJyJiQlsNhsGg4G+vj6OHTvGxMSEGISj0SiPP/44brebw4cPs2/fPsxmM1arFZvNhtVq5fbbbxfpPqanp7FarVit1k/94EkkkmvH8PAww8PDTE5OMjU1xdTUFMlkkvvuuw+AF198kXPnzqVdk5uby2OPPQbAkSNHiEQiYtGWlZWFzWaTC/olwMTEhNAPvb29NDU1sWrVKgKBAC+++GKakcflcn3sDtySzcBvNptpamqiqakJgMnJSXp7e0WG+nPnzrFv3z4AHA4HXq+XgoIC1qxZI2vRLUL0ej05OTnidUFBQVo2aYBoNCoS3hYWFrJ169a0Qdzv9wtL2bFjx3jvvffEtQaDAZvNxl/91V+RkZHBuXPnCAQCQsRZrVZRJUEikXxykskkoVCIUCiE2+1Gq9Vy4cIFzp07J55R9fjRj36ETqfjyJEjqAt3nU6H1WolKytL5EBsbGykuro6zUI+e2Glzh+SxU0kEiESieBwOIjFYvzsZz8TQWUZGRkUFBSI+8LlcvHd7373mvVl0Ymxi7HZbNTW1orXjY2N5Ofn09vbS39/P319fbS0tIgcWUePHqW/v19M2rm5uZ/ICU+y8Jgd/HEpsTabdevWUV5eLsTa5OQkkUhErJhbWlpobm5Ou8ZoNPLjH/8YgDfeeIP+/n7MZrM4srOzWbNmDQBjY2NotVosFotchUsWLWoOrenpaUKhkPh3w4YNWK1WTp06xf79+wmFQmlpc5588kmysrLo6+vjxIkTYtHj9XqxWq0kk0l0Oh0bN26kqakJm82G0WicY72QOQ+XJgMDA/h8PjH3BwIBampq+OpXv4rBYGD58uVkZ2dTWFiIx+O5ru4qS260z8jIoLi4mOLiYvFeOBwWE/LExAStra0cP35cnF9WVsYDDzwgzr3Uwy1ZGqj+IZdj165d7NixY872iIrRaESr1TIyMoLP5xOrfVWM/fa3v6W3txeYseqpdUfvueceAN577z1isRhGoxGTyYTRaMThcIgcbYu9VFUwGOTVV1+lp6eHLVu2sGnTJvFd+/v72bt3L5FIhLVr17JhwwY0Gg3RaJSXX36ZsbExCgoK2Llz5yUXWC0tLRw+fJhUKsWOHTtkcswroCgKsVhMWBbC4TCRSASv14vdbicQCIitvtlia/fu3RQXF9PW1sZvf/vbtM/UarXU1tZitVoxm814vV5MJhMWi0UsXNTdi02bNrF58+bL9k/1IZUsTVQn+76+Pqanp/nCF74AwGuvvUZvby8Wi4WCggJWrFiRVtd5+/bt89XlpSfGLsXsHFm33HIL27ZtY2xsjL6+Pvr6+pjtV/erX/2KiYkJCgoKxBZnQUEBZrN5ProuucHQaDRkZmaSmZmZFiWqcvPNN3PzzTeL1+qkpqLee+q2TCgUwm63i/bm5maGh4fTPrOqqor7778fgJ/+9KeEQqE0sVZdXS0mrv3796PX6zEajWRmZmIwGHA6nbhcLhEQoaYiuREFncFg4JZbbqG1tRVIL731yiuvcNddd5Gbm8tzzz1HRUUFubm5vP322xQXF3PnnXfy9ttvc+rUKVauXJn2/UKhEAcPHuT2228nHo/z2muv8Z//839etIEc6t86Go0Si8XEoea2mp6e5v333yccDhONRoXYuummm1i+fDn9/f384he/mPO5u3fvZsWKFUxPT9Pc3IzJZMJsNmOxWMjNzRWL3pKSEr72ta+JNrPZTGZmpvibVFRUUFFRcdn+34j3pmT+OXnyJM3NzfT39wuLqtlsFguzu+66C5PJhN1uv+HuISnGLoFGoxGJ9lasWJHW1tTUJMycbW1tANTX13PvvfcCcOjQIdxuN/n5+TKVguRjUcWbSnl5+RXPf+yxx0ilUsIiMXuLFGDjxo1MT0+ntauDjqIoHDhwIC3RJMD69evZvn07iUSC//7f/7t4X6/XYzAY2LhxIxs3biQSifDSSy+RmZmJXq8XYm7ZsmUUFRURjUY5d+4cGRkZaUdOTg4Wi0X4/sxu+6QDomohuXDhQtq1Q0NDmM1mCgoK0Ol01NbWcv78eXJzczl79iyPPfYYZrOZ1atX8/7771NfX58mtFpbWykqKhKr5HfffZehoaHrnsl8tricnJwkHo+TSCTEYTKZRMLPkydPivZ4PE40GsXr9VJbW0symeTFF18UIksVXWvXrmXr1q2Ew+G0v7XKtm3b2LJlC4lEgvfff18IelVUqfeaw+HgtttuE+3qOapFqqSkhGeeeeay31P105JIPgmKojAxMcHAwEDaoT7fExMThEIh6urqhKFktpO9x+OZ529weaQY+4SsWbNGbClFo1EGBgaE8/f09DRvvfWWONdqtZKfn09TUxPLli0TFrYbTZFLFhZarVaIkotRzfGXQqPR8JOf/IR4PE44HBYTtfo56spx9uQdi8VEyH4ikWB6eloks5x9fVFRERMTE3Nq5kF6DriLrSk6nY7du3enlde6GhRFQavVimcpGAzicDjEa6fTSXd3N5FIRAhHmKn+oEZYz8bv9+PxeEilUmi1WlwuF8Fg8Ipi7KOPPmJgYIBUKoWiKKRSKex2O7feeisA+/btIxAIkEqlxJGbm8vOnTsB+Nd//VdGRkaEmEokElRWVgor5z//8z/PKYkze+G3d+/eNKuqRqNh7dq11NbWotVqCYfDGAwGsrKyhLVTnYwyMzPZuXOneN9gMJCZmZmWePQnP/nJZccqi8Ui0kBIJNcCdatxYGCAkpISbDYbzc3NvPLKK8DM/e5yuSgvLycejwMz29ebNm2az25/aqQY+wxkZmZSWloqXlssFp555hmGhobSVLtqLh0cHORXv/qVKMStHk6nUwo0yXVBo9HMqYigkpGRwdq1l4/AtlqtfPvb3057T1EUschwOp389V//tbDiqAJDteRkZWVx1113pVl6EolEWrTrpyWVSl3yGUqlUmkWMI1Gk2Z9uvh69X2dTjfHgngxvb29tLW1odVqxZGbmyvaVcukVqtFp9Oh1+vFwg0gLy9PpEtQj9llbu644w5SqZRo0+v1adb2v/qrvxKfe7GlUaPR8Mgjj1y27zqdTgQtXQo5Hknmg4mJCd577z0GBwcZGBgQi4177rmHVatWUVJSwp133kl+fj55eXlpz9NCZ97FmEaj0QFHgT5FUXbOd38+K5mZmXMCBFQyMjJYvnw5g4ODHD58WDh2P/zww5SXlzM8PEx/fz8ejweXyyWj6SQ3PBcLmNmJLy/GarVeUexdjmPHjnH06FFSqRQPPPAAdrudi/Mj2mw2pqamRF+mp6eFL1IoFEp732QypW3dqrVVo9GoeB0KhdJ8SS/Frl27rtiuBl1cjttvv/2K7Re7SFyMdFKXLETi8TjDw8PCaDE4OEh9fT3r169Ho9Hw0Ucf4fF4WLVqFfn5+Xg8HrHIyc7OXrRpR26E2f4JoAVY9A4Ebrdb1GVMJpP4/X4GBgbEVkhrayt/+tOfgD+bYPPy8rjzzjsxmUzE4/FP5WcjkSxkVNeA2RYt1dqkvvZ6vQwPDxMKhbBYLDQ3N4tKHfn5+XR2dlJRUcGpU6coLy9PsyABVFZW8sYbb7Bu3ToURaG3tzethqpEIvlkKIpCMBhkaGiIjIwMKisrSaVS/MM//IMwRGRmZpKfny8WPjabjb/5m79Zkumk5jUDv0ajKQSeA/4/4KmPs4xdTQb+hUwqlWJkZIShoSGxchgZGeHxxx9Hq9Wyd+9eTp06RV5eHrm5ueTl5ZGXl0dRUdF8d10iuS5MT0/z7LPPEg6HRfDD448/TmZmJmfPnuVPf/oTiqJQXV3NbbfdhkajYWhoiN/97nckk0lsNhu7d+/GZDLR3t7O4OAgmzZtQlEUXnvtNQYGBlAUhRUrVrBhw4b5/roSyYIgkUiInZw//vGPdHV1MTw8LLYZS0tL+frXvw7Ahx9+iM1mIy8vj+zs7EVvXLjaDPzzLcb+Hfh7wAb88FJiTKPRfBv4NkBxcXHjxfXClhKtra10dHQwNDTE0NAQsViMrKwsnnzySQAOHjxIPB4XIi07O3tJrjAkixt1Va36q832G4lEIiiKgsFgSPMVm56eJpFIoNfrRcBCNBolHo9jtVrFtWNjY8BMaZzFmtZCIvksqPm7VIPB0NAQer1eZKd/6aWXmJycFPNQXl4ebrd7yZaOu+HLIWk0mp3AsKIoH2k0mq2XO09RlH8B/gVmLGPXqXs3JDU1NdTU1AAzE9H4+DhTU1OivauriwsXLgh/moyMDOrr64VvS2dnJzabDafTKUWaZMFyJZF0uZJmlypHpeaDm32tTPQqkcwseEZGRvD7/fj9fsbGxrjnnnvQaDQcOHCAEydOiKjjkpISPB6PcCNQo30ln4z59Bm7Cbhbo9HcCRgBu0ajeV5RlIfmsU8LBo1Gg8PhwOFwiPceeugh4vE4gUBArFjUUHVFUXjhhRdIJBLiIcrNzaWuri5N4C12k7FEIpFIZlAX9UNDQ5SVlWEwGPjggw/4wx/+kBYkk52dLfwxb7rpJjZs2IDL5ZLW48+Red2mFJ2YsYxdcptyNovdZ+xaoigK/f39+P1+AoEAfr+foaEhVq9ezc0330woFOJnP/tZmmlZNS8vpvBhiUQiWcr4/X4+/PBDsc0YjUYB+MY3vkFxcTE9PT20t7fjdrtxu93k5OTIOeAzcMNvU0quLxqN5pJFsFUxnkwmqa2tZWhoiGPHjokkemrCzmAwSHNzs3hAnU6nXBVJJBLJDUYymRQLbr/fL0TXbbfdxvLly4lEIiIQbOXKlWmLb+CyqZkk15YbwjJ2tUjL2PVBURTGxsZEOZisrCxaWlr4t3/7N3GOVqvF6XRy77334vF4RBkKuYqSSCSSa08sFksTXYWFhdTU1BAMBvnpT38qzsvJySEvL4+mpiZKS0tlJZjrjLSMST41s2tzqtTW1vI3f/M3BAIBMQAEAgERmXbq1ClRCio7OxuXy4Xb7Wbz5s0YjUbpjyaRSCSfgnA4jN/vR6vVUlhYSCqV4n/+z/+ZVtZLq9Vy0003UVNTQ1ZWFvfeey8ul+uSi2M5Dt+YSDEmuWoMBgNer/eS9frq6+txOBxpPmldXV1s27YNgDfeeIOzZ8/idruFUMvJyaGsrOx6fw2JRCK5oUilUoTDYRH1+/bbb+Pz+fD7/aI+aUVFBQ899BBarZaamhpRNN7tdpOdnS3cRjQaDfX19fP2XSSfDinGJJ8LWVlZInJTRS26DFBUVCRWeMePHxf5nX7wgx8AM2ItGAzidDrJyckR/86uxSeRSCQLldm7A62trXR3dzM6Osro6ChjY2M4nU4ef/xxAIaHh0kkEixbtkwIrtl1T++44455+Q6Sa8eCEmPDw8O89NJLlJaWsnLlSumbdIMzO5dZXV0ddXV1wMygNDExIVZ8MCPcAoEAbW1tIqmn1+vlW9/6FgBvvfVW2vZpTk4OFotFmtwlEskNx/DwMD6fj5GRESG4QqEQP/jBD9BoNLS0tHD27FmcTicul4uqqqq0IvFf+9rX5rH3kk+LoihiV6irq4vR0dGrvnZBiTGDwUBXVxctLS2sWrUKgDNnzhCNRiktLV0SpRUWAxqNZo4lbceOHcCMKJuYmGBkZCTtms7OTgYHB0mlUuK9+vp6kWDwnXfewWKxiNxrDodDFlqXSCTXhKmpKQYGBggGgwSDQcbGxhgZGeGb3/wmmZmZnDx5kkOHDqHT6cQCUq3NqNPpuOuuu0QSVcnCZXYwxLFjx/jjH/9IKBQCZnaLPokbzoKarRwOB0899RQTExNioj1x4gTt7e0A2O12ysrKqKyslHvmCxStVjsnmS3At771LVKpFMFgkNHRUUZGRsQ58XicAwcOCIuaypYtW9i2bRuJRIJ33nkHh8NBdnY2DoeDrKwsmZpDIpFcknA4TF9fnxBb6nHPPffgcrloaWnhtddeA2YqQjgcDnJycohGo2RmZrJ+/XrWrl2L3W6/ZLWTpVoaaKGjKAojIyPC8tXV1cWDDz5Ifn4+drudyspKSktLKSsrmzOHfRwLSozBn60qKg888ACBQED8Ytra2ohEIkKMvfXWW7jdbkpLS+f4NEkWFmo6DXWVqaLX6/nbv/1bpqamxCo1GAyKAuoTExMcOnSIi9O43HXXXaxdu5bJyUmOHj0qRGBWVhY2m01ug0ski5RYLIbP55sjtm699VZKS0vx+Xz85je/AdIXiOqCr6amBo/Hg8PhwGq1zrFwSV/XxYGiKMKaOTQ0xPPPPy9KENpsNsrLy4XYrqysTJuXPikLToxdjEajEQ6OTU1NKIoiMgpHo1GOHTtGOBwGZlIulJaW0tDQIJPaLTK0Wi12ux273T7nb+t0OvnJT37CxMRE2sCrRoWOjo5y4MCBOWLtq1/9KjU1NQwODnLkyBHx+eqRnZ0tt0IlkhuE2RNnLBbj9OnTTExMMDExweTkJBMTE2zcuJFVq1YxOjrK888/D/x5ge9wOMQYUFRUxDe+8Q0hti62btlsNim4FiFqjs3u7m5h4GloaGDbtm1CP6iH0+n8XLeZF33SV0VRGBoaEr/Y7u5ubr/9dlavXs3o6CjvvPMORUVFFBcX43a75R7+EiWZTDIxMcHY2JgYwFesWEF2djatra28+uqrwhdA5ZFHHqGgoIDW1laOHDmCzWZLE2tlZWXSuia5rnxcPr+Fmu8vlUqJgB+bzUYymWT//v1zxNaGDRu45ZZbCIfD/Lf/9t8AsFqt4plcvXo1VVVVxONx+vr6cDgcl91KlCx+1PvKZrOhKAr/+I//KPyVzWazCBasrq7+1D9DJn39/9FoNHg8HjweDxs2bCCVSgkn8GAwSEdHBydPngTAaDRSXFzM7bffTk5Oznx2W3Kd0el0ZGdnk52dPaetpqaGmpoaEomEGPQnJibEPZJKpYjFYnR2djI5OSlW10899RR6vZ53332XDz/8EKvVisViEf/ecsstZGRkMDo6SiwWw2KxYLFY5MQgEaRSKaampgiFQiQSCcLhMCaTicLCQkZGRjhz5gypVIrJyUlKS0tZsWKFEFzqv36/nzfffJP+/n5qa2vZtm2bSNY8nySTSaanp5menmZqaorp6WlMJpOY+F588UVGR0eZnp4WC6FVq1Zxzz33oNVqOXr0KJmZmdjtdjweD8uWLRNWcaPRyBNPPIHNZrukb6her6e0tPS6fVfJjUE8Hqe3t5eenh58Ph8+nw+n08mjjz6KRqNh1apVZGZmUlpaet2NM4tejF2MVqsVk115eTk/+MEPGBsbo6enRxxGoxGAw4cPc/bsWWE5KyoqwmQyzWf3JfNIRkbGJQXb8uXLWb58OfDnyXNyclIkcMzLy6O6ulpMOiMjI4TDYb74xS8CcOjQIY4dOyY+z2w2k5WVxbe//W0ATp8+TTAYxGKxYDabMZlMWCwWuWBYAoyPj3Po0CH8fj9ms5muri68Xi8PP/wwPT09fPDBB2zduhWDwSAchtUJRKPRkEgkOHv2LHl5eTzwwAPs37+ft99+m507d37uVrJkMkksFhNjpBraP1tsWa1Wtm/fDsDPf/5zAoFA2meUlZUJMZaRkUFOTg7FxcViAePxeMR3+9GPfnTZ/ms0mk/sQC1ZfExPT9PX10dVVRUAr7zyCmfOnAEQtTlLSkrE+Zs3b56XfsISFGMXMzt3VUNDQ1pbZmYmyWSS999/n0OHDgGQn5/Pt771LTQaDbFYTEbFSNKY7bumUl1dPcfMPXsi3LBhAxUVFWmT1uwUHmfOnKG1tTXt+uzsbL73ve8BsGfPHgYHBzGZTJhMJsxmM263my1btgDQ3t5OKpUSbSaTCaPRKC1wC4Ds7Gx27twpXr/77rti6zszM5PKykrWrVsn2i8WWOq2u5oKyOv1cuTIEeDjy+KoPpbhcFgcyWSSTZs2ATNZWKpu+AAAIABJREFU4tva2kRbLBZLuy8PHDjAhQsXgJnoQavVSkFBgfj8m266iUQiIYSWajVWue+++67Yv4W43Sq5tkxOTtLe3i4sX+qW45NPPklWVhbr169n1apVFBUVCaPLjcKSF2NXoqGhgYaGBuFf0NPTQygUEoPAr3/9a4LBIMXFxRQUFFBYWIjH45FO3ZKPZfZEogagXI6vfvWrxGIxpqenCYfDc3zXioqKMBgMoi0YDBKLxUT7G2+8MccCUV5ezsMPPwzAv/7rv4qQfPUoKipizZo1wEz6GJ1Ol9ZutVrTJk7JtUOtZOHz+ejq6uJLX/oSMCPG2tvb+dOf/kRGRgarVq0SiwBVlCWTSSKRiHjfarWSkZHB1NTUx/793nnnnTSLLcxs76liLCMjA7vdTl5enlgIzHZq37lzJxqNBovFcknfyYsXvxLJJyEej9Pf309vby+1tbU4nU46Ozv53e9+h8lkoqioiNWrVwvLKiAi7G9EpGq4ClT/got9DFauXElnZyfd3d2cPn0agKqqKu6//35gpuRFXl4eDodDruIknwmDwYDBYLikT9vGjRuveO0DDzxAKBQiFAoJK4a6hQoz+fkmJyeJRqNMTk4Si8XQ6XRCjO3du5dEIpH2mY2NjWKr6+/+7u/IyMhAr9eLf1evXs2GDRuIxWK8/PLLaW0ZGRlUVlZSVlYmot7UNr1ej06nIycnB7vdTiKRYGRkRLgX6HQ6tFotJpMJvV5PKpUimUyK9uv9nKkRfOqRTCZJpVKYzWa0Wi2hUEhYOtW2VCpFYWHhVVsm1fOmpqaIRqPiHnC73TQ0NGA2mxkfH+ett95i586dadb6jIwMksmk8GNUX1/N76mpqYna2lphTTWZTGRmZop21fJ6OS51r0okn4XJyUneeecd+vr6GBoaEve11WrF6XRSVVXF448/jsvlWnBzrhRjn4HGxkYaGxuBGZN+X1+fGKzC4TB79uwBZnyAVMtZTU1NWo0xieRac7nABJVdu3Zd8frvfe97xGIxotGoOFRLSyqVYv369cTjceLxOIlEgng8LvyGkskko6Ojl2wvKytjenqaV199dc7P3LFjB+vWrWNkZISf//znl+xzQ0MDfX19/PKXvxTvq6Ls3nvvpaamhs7OTl566aU51993332UlpZy7ty5S/78Bx54AK/Xy6lTp3jjjTeAdOH1yCOP4Ha7OXz4sGifjbotcuTIEfbv3z+n/cc//vEVt0kURSEWi5FMJjGbzUSjUQYGBli2bJlot9vt3H777QCEQiHeeOMNOjo6qK2tFZaxzMxMjEYj4+PjZGdno9Vq0/wZr4TqnyWRXG9CoRB9fX309vbS19dHRUUFX/jCF9Dr9Zw5cwav18umTZvEvKrez0aj8YbbfrxapBj7nLjYTygzM5NHH31U3Ey9vb20tbVhNpvJzc1lfHyc999/n5KSEkpKSm6I6CaJ5FJcKZ+STqfjtttuu2y7yWTisccem/O+uqLNysriySefFCItHo+TTCZxOp2i/ctf/vIc65O63ZCVlcWtt946x/KkXm+xWKipqZnz89XB22azXbJdFZMOhyOtXbXOqQN+UVER27Ztm2O5U9tra2txuVyiXT3nSilPFEXh3Xff5fTp0zidTu6//35isRhdXV3cfffdwFx/KaPRSDQaFZGDqjVNXQgeP36c0tJShoaGxN9zoaa5kCw+4vE4er0eRVF49tlnGRgYAGbu89zcXHFfG43GKwZuLGQWfZ6xG4lIJCJWq+3t7ezZs0ds/7jdboqLi9m8ebOsFCCRSNLw+Xy89NJLPPnkk0JEBYNBjh07hlarZWJiAkVRhLP/yZMn0ev11NfXE4lE+P3vf09fXx82m43du3fLSEPJvKEmVlV9IHt6ejCZTDzyyCPATNUc1W/V6/Uu+CA5mWfsBmS2+bSyspJnnnmG/v5+uru76e7u5tSpU9x8883AjNN0W1sbhYWFFBYWkp+fLwMDJJIliDp5NTU1AX+2iqnWAr1ej9frpaKiQrxXUVEhxguj0chf/MVfoNFoZASt5LoTj8cZHBwU1uxXXnmF5uZmYObeLCkpSSuofSVL+2JGWsZuINSoKZjJcfb+++8zPj4OzAy8BQUFfP3rX0er1QqzrkQikUgkNwpTU1N0dnbi8/no7e1lcHAQRVH4wQ9+gNVqpb29XdQOzs3NXZRbjrORlrEFyOxV6/r161m/fj2Tk5P09vbi8/kIh8PinBdeeIHR0VGKioooLCykqKgIj8dzyWzTEolEIpF83sTjcQYGBvD5fNTV1eFwOGhvb+eVV15Br9dTUFDATTfdRFFRkQhu+yzFtBczUozd4NhsNmpra6mtrU17v76+Xqw+1IzClZWVPPjggwB0dHSQm5sri9lKJBKJ5HNjcnKSgwcPCquXmqDabrfjcDioqqri0UcfJTc3V26LfwKkGFugXJxWo7e3Vzg6RqNRnn/+eWAm2szr9ZKfn09VVRV5eXnz1meJRCKRLAympqbo7++nv7+fgYEBKisraWpqQqfTcfz4cbxeL1/4whfE7owaoWw2m2V2gE+BFGOLALvdLmojwoxD71/+5V/i8/nEw9TS0oLBYCAvL4/x8XH+8Ic/4PV6hVBbqLlZJBKJRPLZUJNCu1wuFEXhZz/7GaOjo6Ld7XYLC5jZbOaZZ56RVq/PGSnGFiFarVZEYapEIhHx/4mJCfr7+zl79qx4z+l08hd/8RcUFhYSjUYB0rJtSyQSiWRx0NPTQ09PDwMDA/T39wuH+m9+85toNBrq6uowmUxisX5xegkpxD5/pBhbIsy2fBUVFfHEE08QCoXEw9jf3y/qdzU3N/P666/jcrmE9Uw9ZICARCKRLAzUyg39/f2Mj4+zY8cOAN577z3OnTtHdnY2BQUFrF27Nm3xfsstt8xXl5csMrWFZA6Dg4OcO3dOiLSpqSkAnnnmGTIzMzl9+jSjo6Pk5eXh8Xiw2+2LPjxZIpFIblQURSEYDJKVlYVWq+Xo0aMcOnSIYDAozsnKyuI73/kOer2esbExjEajqDQhuXbI1BaST43H40mrSzc5OYnf7xfblh0dHZw4cUK0q4n7vva1rwEQDAaxWCwyD5pEIpFcA8bHx2lra2NoaEgcsViM73znO7hcLkwmEwUFBaxevZr8/Hy8Xm9aPVJZxP3GQ4oxycdis9nSUmTs2rWL7du3pw0Esy1je/bsYWhoiJycHPLy8sjLy6O4uJiSkpL56L5EIpEsOBRFYXx8nMHBQTHObty4kcLCQgYGBti7dy+ZmZnk5eWxatUq8vLyRBRjXV0ddXV18/wNJJ8EKcYkn4rMzEyKi4spLi6e07Z161b6+/sZGhqit7eXM2fOUF9fL8TYnj17yMrKwu12i0OayyUSyVJEURRCoRB+vx+r1YrL5SIQCPCLX/xCBFPBTJDV9PQ0AOXl5TzxxBNkZWVJF5FFghRjks+d6upqqqurxetIJEIsFgMgFosxOTlJR0cH8XhcnLNlyxa2bdtGPB7n+PHjuN1uXC4XVqtVDjYSiWTBoygK8Xgcg8FAMpnktddew+/3EwgECIfDAGzcuJEvfvGLZGVlsWLFCuGXm5ubmxbRaDAYFnwBbUk6C0qM+f1+fv/737Ns2TKqqqrkJL1AMBqNIprTYDDwyCOPCBO83+/H7/eLSJ5AIMDrr7+edq3b7Wbr1q2Ul5cTi8UIhUJyRSiRSG5o2tvbGRoaEmNcIBCgurqa3bt3o9Vq6e7uxmKxUFtbK3YI1KTcer2eu+66a56/geTTEA6HuXDhAu3t7QQCgau+bkGJMZ1Ox6lTp2hvb6eqqgqAtrY2seUlJ+eFg0ajweFw4HA4WLZsmXjf4/Hw1FNPpQ1gfr9fpNTo6uriN7/5DXq9HpfLJSxoDQ0N2Gw2FEWR94FEIrnmRCIRRkdHGR0dZWRkhEAggF6v5+677wbgrbfeYmhoCJvNJsYo1VVDo9Hw3e9+dz67L/mcOX/+vCgTpSgKRqORioqKq75+QYkxp9PJj370I4LBIBqNBkVReOWVV5iensZut1NZWUllZSXl5eUyYekCRaPRiICB8vLyOe15eXns3LlTCLWuri5OnjxJdXU1NpuNo0eP8u677+J0OtOOqqoqGd0pkSxSYrEYH374IV1dXeTn53PLLbd8LouyiwVXOBxm+/btAPz2t7+lra1NnOtwOCgqKhKvv/zlL2OxWGR1k0VIKBSio6ODjo4ONm7cSG5uLslkkmQyyebNm6msrKSgoOATJcdd8HnGJiYmaG9vp729nQsXLhCNRlm3bh07duwglUoxMjKC2+2epx5LrgfRaBS9Xo9Wq+XChQucOnVKDKBqjrQf//jHGI1GDh48yPnz58nJySE7O5ucnBxcLhe5ubnSoiaR3IBMT09z8uRJYrEYNTU15OXlzbGAX7hwgQ8++IDGxkZ6e3tJJBLccccdV2Upj8fjBAIBAoEAo6OjbN68Ga1WyxtvvMEHH3yQdm5WVhbf+9730Gq1dHZ2EolEcDqdZGdnSx+uRU4oFOLDDz+ko6ODvr4+FEXBZDKxa9euNB/pi1kyecbsdjtr1qxhzZo1JJNJent7RT6Vvr4+fvnLX+JyuaitrWX58uXk5eXJSXeRMdsKWl5enmZRi8ViIsEhzPigabVaOjo6mJycBGb82J555hkADh8+zMTEhBhgnU4ndrtdlv+QSK4ho6OjfPTRR0xPTxMKhaiurqaxsZFkMsnhw4cZGxsjOzubffv28bWvfS3tmU8mk7S0tLBixQqqq6spLi7mH//xH7njjjuuONafOnWKt99+Oy0xKsCqVatwOBxUVlZitVrJyckR48Fs63pZWdnn/4uQ3DAoikJvby/JZJLS0lJ0Oh2HDh0iLy+PLVu2UFlZidfr/dzmhgUvxmaj0+nSclnl5OSwY8cOWlpaOHjwIAcOHCA7O5sHHngAl8s1jz2VXC/U4ugqa9euZe3amUVKLBYT1jN10Pb5fLS2tpJMJsU1Ho+HRx99FJgRa4DY/nQ4HLJElETyGRkeHqa5uZkdO3bgcDjEbkYqlaK5uZnvf//7ALz66qs0NzfT1NQknlmdTsfQ0BBr164V1gqTyUQgELjiOG+xWCgsLKShoUH4ns4WXBUVFZ/I50ey8EmlUvT09NDS0kJLSwuTk5OiZmdmZiZPP/30NbOALioxdjFms5l169axbt06pqenaW1tpb29HYfDAczU5/L7/VRXV1NeXi7NzEsMg8GQVmkA4L777iOVSjE5OSm2OmeLrSNHjjAyMiJeazQaVq5cyT333APARx99hMViueRKWiKRXBq73U5FRcWcRKUjIyMUFBQQDocxmUxUVVXR1tZGOBzGbDaTSqXQarVoNBqmp6eFQDObzYyPj19RjF1sRZcsTWKxmJj7//3f/52WlhYyMjKorKyktrZWBAsC11QjLGoxNhuLxUJjYyONjY3ivVAoREtLCydOnECn01FeXk5dXR2rVq2ax55K5hutVktWVhZZWVlztiK+853vMD09zejoKGNjY4yOjorSIslkkr179zLbD9NqtbJ+/Xo2bdpEKpXiww8/FJ9tt9uxWCxy21yy5NHr9fT39/PCCy+QmZnJunXrKCoqIpFIkJmZSSgUwmQyYTQaRZJUs9ksnjWHw8HY2BjJZBKdTofBYBBuCDLCWnIxo6OjnD9/nnPnzuHz+fj+97+PxWJh7dq11NfXU1lZed2NM0tGjF2K2267jW3bttHT08O5c+fEH0cVY4cPH6aoqIj8/Hz5MEuAGUuY1WrFarXOqT6g0+l4+umn04Ta2NiYsMROTU3xxhtvzLnm9ttvZ926dYRCIQ4fPiyEmirapMVWstix2+2sXbsWo9GIXq/nrbfeYtOmTXi9XmAmUCsnJweNRoNeryeRSAAIq3VZWRm9vb0sW7YMu92O1WqVVmnJHHw+H7/73e9E/i+3282GDRuEqJ9PS+mSFmMw8zCXlZVRVlbGHXfcIbLCqxOnoihYrVaqqqqoqqqivLxcPuSSy6IW6C0oKJjTZrPZePrppxkfH2d8fJyJiQnGx8eFT1swGOTAgQNcHOG8e/duVqxYgd/v5/333xdiUD3y8vJkKhfJvDI+Pk4wGGRqakociqJw2223XfG6SCTCyMgIGRkZrF+/Xrzv8/no6upi2bJl6PV6enp6KCsrY3JyknA4LLYfI5EIBoOBuro6QqEQL7/8MtFolKKiIpYvXw4gF9JLlGg0SkdHB+fPn2fZsmXU1dWJtEmNjY1UV1ffUAXTl7wYm41GoxFWCKvVyg9/+EPa2to4f/48p0+f5tixY+zatYuGhgYikQiJRAKr1TrPvZYsFDQaDWazGbPZTH5+/px2r9fLT37yEyYnJ4VgGx8fT7MOtLW1MT09nSbYvv71r1NaWkpLSwtvvvmmEGkWiwWr1UpjYyNWq5VQKEQsFsNqtZKRIR99yeWJx+NMTU3hcDjQaDR0dXXR1dWVJrYikQjf+c530Gg0/OlPf6K5uVlcr9FocDqdVxRjkUiEN998k76+PtauXZsWaKPX60WUY3l5OceOHWP//v0MDg5SXl5ORkYGfr+fM2fOsHz5cnJzc1mzZg1ut1sUz5YibOmhKApHjhzh/PnzdHZ2kkqlMBqNwjfY4XDwn/7Tf5rnXl6aBZ9n7HqRSCTo7u7G6/ViMpk4fPgw+/btw+v1UlVVJcJc5QAgudakUinC4bCYFAsKCjAajXR3d/PRRx+lTZjhcJi//uu/xul08t577/Hmm28CM+lAzGYzJpOJBx98ELPZTHt7Oz09PSIaTfXRKSoqQqvVSt+bBYj6N5uenhY1EGcfGzduxGQy0dzczOHDhwmHw0K0A/zoRz/CZDLxxz/+kYMHD2I2m9OssnfffTc6nY6BgQHC4bB432QyfeJ7pbm5GZ/Px8TEhNi+z87ORlEUenp6OHv2LEVFRSxbtkxagiXAzFjY29tLMBhk5cqVAPz85z8nkUhQVVVFdXW1GL/mi6vNMybF2KdkZGSEs2fPcu7cOfr6+oCZIIEnnngCvV4vHEklkvkkmUyKaDO/34/P50uzbITDYb785S9jMBh4++23OXjw4Jxt0v/yX/4LWq2WvXv30tzcnCbWLBYL9913HwAtLS2Mjo6KIsYGgwGTyURpaSmASMBrMBjQ6/VS2F0GtaB0LBYjMzMTvV5PKBSiv7+fWCyWdtTV1ZGdnY3P5+O9996bI7a+8Y1v4PV6OXbsGK+++mraz9FoNDz22GO43W7Onj3LiRMn0v6uVquVuro6DAYD8XgcnU53zSa1WCxGR0cHU1NTuFwuXC4XNpvtmvwsycJmfHxcJHrv7OwkGo1iNBp5+umn0Wq1RCKRG6rqwZJJ+jpf5OTksHnzZjZv3sz09DQdHR2MjIwIf7IXXniB6elpKioqqKyspKioSG4NSa47sxcEajHiy3HLLbewbds2otGomMwjkYiYgCsqKtDr9WmTvRqxBnDy5ElaW1vTPjMrK4snn3wSgP/4j/+go6NDtOn1evLz8/nGN74BwN69exkbG0Ov16PT6dDpdLhcLjZv3gzA+++/TygUEm06nQ6n00lNTQ2AyA83u91ms4nv3NPTM0doWiwW4X/U3d0953dis9lwOp0i/1AqlRJlT5LJJC6Xi7y8PGKxGMePH09rSyaTVFZWUlJSwtTUFH/84x/Tro/H46xbt46qqioGBgb49a9/TSwWE36rAPfeey/19fUMDg7y61//ek7/3G432dnZJBIJRkdHMZlMOJ3ONMEMUFlZycMPP5z2vsFgEIJ4+fLlwsfqUlxrP1mDwUBtbe01/RmShUk8Hqerq4vS0lL0ej0fffQRBw4cwG63s3z5ciorKykrKxPj1I0kxD4JUh18DlgsFmEiVamsrOT8+fN88MEHvPfee+j1etavX8+tt946T72USD4ejUaD0WjEaDTOcW6tqakRwudSfOUrXxEWHfWYLX42bNhAdXV1WrvZbBbtiqIQiUSYnJxMEywqzc3NDA8Pp33msmXLRJ9ee+21NHEIUFdXJyx3L7zwAtFoNK29oaGBXbt2AfDcc8/NEWvr169n+/btJJNJnnvuuTnfefPmzUKM7du3L61Nq9ViMpkoKSkhkUhw4cIFIRK1Wq2woMNMXqyampo0q6LBYBD+gl6vl29+85tz2tUFXllZGY899thl/zZ2ux273X7ZdonkRkFRFPx+P+3t7XR0dNDd3U0ymeShhx6ioqKCxsZGVqxYgcvlWlTWdblNeY2JRqN0dXXR3t6Ox+OhsbGRaDTKs88+S1lZGRUVFZSVlUkfCInkKlEURYg1+HM5rLGxMeLxeJplymQykZubC8xYvlKpVNpnWa1WYTnr7Oyc87Psdjs5OTmkUim6u7vTrG5arRaLxYLFYkFRFMLhcFr7YpooJJJrSTgcJpFIYLPZ6O/v59lnnwVmLL/q7lJxcfGCzGQgfcZuYILBIK+//jqdnZ3E43G0Wi1FRUXcdtttFBYWznf3JBKJRCK5ZqRSKfr6+ujo6KC9vZ3+/n7Wrl3LnXfeKUpglZeXk5WVNd9d/cxIn7EbGIfDwf33308ymcTn8wlzrKr6W1tbaW5upqysjNLSUtxut1xlSyQSiWRBoigKExMTQlz9r//1vwgEAmg0GrxeL5s3bxbuBlqtltWrV89nd+cFKcbmEZ1OR2lpKaWlpWn5eCKRCAMDA8IZ2mKxUFpayq5duxakmVYikUgkSwfV76uzs1PkqDMYDDz55JNoNBo2btyIwWCgvLxcBJksdaQYuwFpaGhg1apVBINBcTOrUWYA+/btIxwOU1paSllZmSi3I5FIJBLJ9UZRFEZGRkTJqj/84Q988MEHwMxOUE1NDWVlZSLv3VK0fH0cUozdoGg0GrKzs8nOzmbNmjVpbalUivb2dk6ePAnM3OwNDQ3cfPPN89FViUQikSwhFEVJMxZ0dXUxOTnJo48+isfjoa6ujtzcXGks+ARIMbYAufPOO9mxY0eaGViNEkulUvziF7/A6/WKLVBZskkikUgkn4Xx8XF0Oh1Wq5ULFy7w/PPPAzNuNKp/s5o+pbCwUAajfUKkGFugaDQacnNzyc3NTSuwq5YkOXXqFB999BEA2dnZfPGLX5RJFSUSiURyVQSDQTo6Oujq6qKnp4eJiQluvvlmtm7dSmFhITt27KCsrGzR5fuaL6QYW2RYLBYeeOABUqkUAwMDdHd34/P5RHLNzs5OXn/9dSoqKigvL6ekpEQUR5dIJBLJ0kRNuOx2u0kmk/zTP/0T8Xgcm81GcXExRUVFVFZWAjO5/datWzfPPV5cSDG2SNFqtRQUFFBQUDDnfZvNxpEjR/jggw/Q6XQUFRWxe/duWQtOIpFIlgjJZFLk+rpw4QJ9fX14PB6+/e1vo9Pp2L17Nzk5OdLydZ2QYmyJUVJSwsMPP0w8Hqenp4cLFy7Q29uLxWIBYP/+/fj9fsrLy6moqJDOlxKJRLIIUJ3u1TJn//Ef/8Hp06dFrq9NmzZRUVEhzr9S6TPJ548UY0sUvV5PRUVF2sMHMw+sz+fj7NmzADidTurr69m2bdt8dFMikUgkn5JQKERnZ6ewfo2Pj/P9738fu91OY2MjtbW1lJWVyVxfNwBSjEnS2LZtG1u3biUQCIgHeGpqCpgRar/5zW/IycmhpKSE4uLitELPEolEIpk/JicnycjIwGQy0drayp49e4AZH6/y8nI2bdok8lWWlpbOY08lFyPFmGQOGo0Gt9uN2+1mw4YN4v14PE48Hufo0aMioV9ubi6bN2+mvr5+vrorkUgkS5Lx8XG6urro7u6mu7ub0dFR7rzzTpqamigoKGDbtm2Ul5fj9XrRarXz3V3JFZBiTHLVGAwGvv71r5NIJOjv7xcDgE6nA2BwcJD/+3//LyUlJeKQPmcSiUTy2VEUhdHRUeLxOB6Ph0gkwv/4H/8DAKPRSHFxMY2NjZSXlwNgs9nYsmXLfHZZ8gnQKIoy3324atauXascPXp0vrshuQwDAwPs37+fnp4eIpEIAFlZWdx///3k5eWRTCbRarUyMkcikUiuAr/fn2b5mpqaoqKigoceegiAkydPkpubS15enhxXb1A0Gs1HiqKs/bjzpGVM8rmRn5/P/fffj6IoDA0N0d3dTU9PD1lZWQAcPHiQo0ePCn+zwsJC8vLyhGVNIpFIliqJRIKBgQHGxsZYuXIlAHv37qW7uxu73U5ZWZnYcVBRz5MsfKQYk3zuaDQaPB4PHo8nrTqA1+ulrKyMrq4uzpw5A4DZbOaHP/whGo2GgYEBzGYzdrtdrvIkEsmip6enhzNnztDb28vg4CCpVAqtVkttbS16vZ7t27eTmZmJw+GQY+IiZ0GJsWQyOd9dkHwGli1bxrJly1AUhfHxcXp7e5menhaDzO9//3v6+/uxWq0UFhZSUFBAaWmprHEmkUgWNJFIhL6+Pnp7e+nr6+NLX/oSNpuNvr4+jh8/jtfrZcOGDaKmoxrx6PF45rnnkk+LOs9dLQtKjA0PD/Mv//IvNDQ0sGLFCpkbZYGi0WhwOBxznPt37tyJz+cTg1Zrayu1tbV85StfAeDNN9/E5XJRUFCA2+2WK0WJRHLDkUqlSKVSZGRk4PP5+N3vfkcgEBDtbrebqakpbDYba9euZf369TLScRExNTVFc3MzJ06cYGJi4qqvW1BizG63oygKr7/+On/4wx+oqamhoaGB8vJyeTMvAvLz88nPzxevQ6EQ0WgUmFlZHjt2TAQGZGZm4vV6Wb9+PdXV1aiBKFKgSSSS64Vq/RgYGBBWr/7+fu644w4aGxuxWCw4nU5WrFhBYWEhXq8Xo9EorlctYJKFTTKZ5Pz585w4cYK2tjYURaGoqIgvfOEL/O3f/u1VfcaCjKYcHBzk+PHjnDp1inA4jM1mY9WqVTQ0NJCTkzPf3ZRcIxRFYWRkRAx6fX19bNiwgZUrVzI0NMSvfvUZIBooAAAgAElEQVQr8vPzycvLIz8/H4/Hg9PplEJdIpF8ZpLJJIFAgMHBQSwWC5WVlUQiEf7hH/4BAJ1Oh8fjoaCgQIgvyeJmcHCQEydOcOrUKUKhEDabjZUrV9LQ0IDL5QKuPppyQYoxlUQiIdRoe3u7UKMNDQ3U1dWRmZk5j72VXE8CgQCHDh1icHCQ4eFhUqkUAA8++CCVlZUMDw/j8/nweDzk5ubKFalEIrksqiM9wL59++jp6WF4eFj4Lc92n2hubiYnJwePx0NGxoLabJJ8CkKhEKdOneLEiRMMDg6i0+morq6moaGBioqKOYv/JSHGZjM5OcnJkyc5ceIEgUAAvV5PbW0tDQ0NlJaWyu2rJUQymcTv9zM4OEh1dTUmk4lDhw7x1ltvATNbmS6XC4/Hw/bt2zGbzWmDr0QiWTpMTU0xODjIwMAAQ0NDIqr7L//yLwH4zW9+QyKRIC8vD4/HQ35+Pjk5OXK8WEKkUina29s5ceIE586dI5VKkZ+fT0NDA/X19VcsC7jkxJiKoigiQuXMmTNEo1EcDofYxpQZ4ZcmiqIQDAYZHBwUx/DwMN/97nfR6XS8/vrrtLa24vF4yMvLw+Vy4Xa703zYJBLJwiUajRIIBPD7/YyPj3PzzTcD8G//9m+0tLQA4HA48Hg8FBYWctNNN81ndyU3AIFAgOPHj3Py5EmmpqYwm82sWLGC1atXk5eXd1WfsWTF2Gzi8TgtLS2cOHGCzs5OAMrKymhoaBB5XCQSgNOnT3P+/HkGBgYYGRlBURRsNhtPPfUUAO+++y6RSETU7HS5XGmOuBKJ5MYgFAoRCAQoKChAp9Nx9OhRDhw4kBbZptPpePrpp8nMzKS3t5dEIoHH45HPtIRIJMKZM2c4ceIEvb29aDQali1bRkNDA1VVVZ84SbkUYxcRDAZFuGkwGMRgMLBixQqampquWuFKlgbJZJKRkRFCoRClpaUA7Nmzh7a2trRcd5WVlTz44IMAdHV14XA4yMrKklviEsl1xO/3C/+doaEhpqenAXjsscfIzc2lpaWF1tZWYe12u91kZ2fLbUaJQN1RO3LkCGfPniWRSOB2u2loaGDlypVYrdZP/dlSjF0GRVHo7u6mubmZ06dPk0gkKCkpYd26dVRXV8vSPJLLkkqlCAaD+P1+/H4/FouF1atXoygKf//3f088HsdoNIpIzurq6rTSJRKJ5NORSCQYGRkRvl0DAwNs3bqVsrIy2tra2LNnj6jRqAqu4uJiGcQluSKJRILTp09z5MgR+vv7MRgMIhrS6/V+LgtrKcauglAoxPHjxzl69CjBYFAk4VPzw0gkV4OiKPT394tJQl2h33TTTWzbto1wOMwvf/lLsb05e6tTRl9JJH8mFosJvy41wXMgEOCf/umfRC7BjIwMPB4PW7dupaKiQlir5UJacrUEg0GOHj3KsWPHCIfDuFwu1q1bx8qVKz93AS/F2CcglUrR1tbGkSNH6OjoQKfTUVdXR1NTEwUFBXLbSfKJSSaTJBIJMjMzGR8fZ9++ffj9fkZHR8WksnPnThobGwkGgxw5ciRNpMkVvWQxEw6Hicfj2O12EokEe/bsEY71Khs2bOCOO+4gkUjw7rvv4na78Xg8MpJR8qlQFIXOzk6OHDnCuXPnAKiurmbdunXXNOOCFGOfkkAgwJEjRzhx4gSxWAyv10tTUxP19fXSiiH5zCQSCUb/H3t3FtT2neb//i32fTOLWcy+iVUgYWw227ETJ+4kjhO7OtWdSjo3PT37TJ2am3Nqzt2pOtUXPdVVM1UzU/2vLD3pTuIk42TidjYnMRgwi5AQIAFmsw0YEDY7SGj5nQsf9I873g0Wy/OqciVYCD22Qb/P77s835s3sVqtJCcnExUVxcDAAH/84x89vdHg1mkTp06dIiUlhbm5OWZnZ4mNjSUkJERuDsQDUxRlU3y/GAwGrl+/jtVqZXp6msXFRQoKCjh16hQA7777LmFhYT9a1yWjXeJx2e12Ojs7aWtrY3p6mpCQEMrLy9HpdERGRm7460sYe0x2ux2TyURbWxtWq5Xg4GDPP6C0xxDrze12MzMz41mPNj09zeHDh4mIiKC5uZmvvvoKgICAAKKjo4mKiuKFF14gNDSU2dlZHA4HUVFRskN4h3I6nfj4+NxxxOjKlSu0trYyNzfH4cOHycjIWPfXHxkZ4fr168zOzjI7O8vMzAyhoaG88cYbAPznf/4nN2/e9ISt2NhYUlJSZE2l2DB3GljZu3cvhYWFT3Rg5UHDmAz13EVgYCAVFRXodDpGRkZobW2lqamJpqYm8vLyqKioICMjY1PcdYqtz8fHh127drFr1y7y8/Nve6ykpITY2Fhu3LjBzMwMs7Oz3Lx5k4CAAABaWlq4dOkSAKGhoURHRxMdHc1LL72Ej48PMzMzAERGRsr0zhazurrK+Pg4MzMzrKyskJ+fT0xMDHCrM/zg4CCBgYEsLS3x6quvkpCQcNtomMvloqOjg9TUVOLj47l06RK+vr6kpqY+VB3Xr19nbGzstrDldDr5y7/8SwAuXbpEX1+f52YhJiaG3bt3e57/+uuvExgYKO+XYkOtLTlqbW1laGjIs+Ro7969JCcne7u8e5Iwdh8qlYqMjAwyMjKYm5vzLPpb2ypdUVFBaWmprPERGyY0NJScnBxycnLu+LhWqyUpKclzkZydnWV6etoTvL755hvMZjMqlYrIyEiio6NJSEjg6NGjAIyNjQEQFhZGWFiYTA1tIpOTkxiNRnx9fVEUhYsXL1JRUUFiYiIzMzOUlJRQW1t723NUKpUnkA0PD+Pv709+fj6RkZEYjUbGxsbuGcZWVlb44IMPmJub8zRFNhgMtLW14ePjQ1RUFFFRUURHR3te57nnnuPFF18kODj4joFL+neJjbS2Ga+trY25uTnCw8M5dOgQ5eXlj9WW4kmSMPYQIiMjOXz4MAcOHKCnp4fW1lbOnTvH+fPnKSoqory8fN22wwrxoGJjYz2H0t5JVVUVWVlZnqA2OzvL5OSk5/EvvviC0dFRz8fBwcFkZmZy8uRJAFpbW3G73YSHhxMWFub579rInNg4ERERHDt2zPN3/f777zM8PExiYiKhoaGeaWmXy3XHED0zM0NwcLDn8+Lj41lcXLzr5wOeG8vU1FQcDge+vr7U1NRQXV1NeHj4HUdXn8TaGyF+aK1NlcFg8PQGS09P55lnniE/P3/LzQJIGHsEfn5+lJaWUlpa6mkUZzKZ6OjoID4+nvLyckpKSggODvZ2qUKQnJx8zyH6559/nrm5ORYWFlhcXGRhYYGIiAjP483NzczOzt72nLy8PF599VXg1nEycGv0Y+1XcnIyWVlZwK2Rt8DAQIKCgggODpaRt4ewFnIURUFRFEJDQz0XmcjISC5cuIDJZGLXrl1UVlaSkpJy2/MDAgKw2+2eG8SwsDBmZ2dxu913/Xfw8fHhF7/4xW2/98PvByG8aWFhgc7OTgwGAzdv3iQwMBCNRkNFRQXx8fHeLu+ReS2MqVSqPcC7wG7ADfynoii/9VY9j2rtQvfss8/S3d2NwWDgiy++4Ouvv0atVlNWViZry8SmlpCQcM9TKP7u7/6OlZWV28La2tC/oiisrKywtLTEysoKNpsNp9OJTqcjKysLt9vN7373u9u+np+fH9XV1Rw8eBCHw8FHH310W5ALDAwkLS2N5ORkVldXGRgYwN/fHz8/P8+vyMhIzwHvq6ur+Pn54evr+8R/zhRFweVy4XA4cDqdnl8xMTH4+vp6NmX88DGn00lZWdkDb7ZYmwo0mUzYbDZKS0sBKC8vR61WEx8f7zny59ixY0RGRnrCVlhYGC6Xi5WVFU8QXlpako0eYktZWwtmMBjo7+9HURTS0tKoq6ujoKBgW3w/e3NkzAn8H4qidKhUqnBAr1KpvlYUxezFmh5ZUFAQOp0OnU7HxMSE53DR7u5uoqKiKCsrQ6PRyB2m2HJUKhUhISGEhIT8KLSpVCrPjrk1TqfztjYdP/vZz7DZbJ6wZrPZPAewr66uMj8/z9TUFCsrK9jtdgCOHDlCcnIyi4uLnD59+kc1HTt2jIqKCqampviP//gPz++vhbXnn3+ewsJCxsbGOHPmzB2fn5GRwcjICGfPnv3R48ePHyclJYX+/n6+/vrr2/5sTqeT1157jYSEBPR6/R2f/zd/8zfs2rULi8Vy2/PX3O9sXJfLxeLiIm63m+joaKampujq6kKn03lG3MPDwwkPDwcgMzMTq9XK5OQkkZGRnlGv2NhY/P39uXz5MpWVldhsNk9g3SxtL4S4m5s3b2IwGDAajSwuLhIaGkpVVRVlZWXs2rXL2+WtK6+FMUVRrgPX////X1CpVBYgGdiSYeyHdu/ezXPPPceRI0fo7e3FYDDw3Xff8f3335OdnU15eTk5OTkyXSO2pR9uG/fx8bnrxgO4tTnhL/7iLzwfu91uHA6HZyouIiKCX/3qVzidzttGn9ZCYVhYGM8888yPRp6io6OBW9N0d5q6WFsXdbfH19ZoBQUF3fb4Wthbezw5OZnDhw/fNmrn5+fnGTksKioiLS3tR4+HhITc9e/E5XJx/vx5+vv7ycnJ4eDBgxgMBvLz8z07bd1uNyqVyhOmFhcXsVqtVFdXoygKk5OT+Pn5ERsbS2FhIefPn6e7u5uAgACOHTsGIEFMbEpOpxOLxUJHRwcjIyOeg7rLysq29XVzU/QZU6lU6UA9UKQoyvyfPfZL4JcAqamp2itXrjzx+tbDnRJ+aWkp5eXl2y7hCyHWT3NzM9988w3PPvsss7Oz+Pv7c/DgQa5evcrnn3+Or68vPj4+7N+/n6KiIhwOB319fYSHh3v6eE1MTLC6ukpUVJSMzotNaWJigo6ODrq6urDZbNtmRmnLNH1VqVRhwAXg/1EU5ZN7fe6TbPq6UdxuNwMDA3R0dNw2911WVrZt5r6FEOvDbrdTX1+P3W4nJCSEoKAgoqOjUavVOBwOz1owed8QW5HNZvOstR4fH8fX1xe1Wk15efmGHlH0JG2JMKZSqfyBz4EvFUX5zf0+fzuEsR+6066Q4uJiSktL5UxMIYQQ285aSwqj0UhPTw9Op3NbdyHY9GFMdStpvAPcVBTlHx7kOdstjK25U7+UmJgYiouLKS4ulmlMIYQQW9rk5KRnU9v8/DwBAQE7oj/nVghjNUAD0MWt1hYA/6eiKH+623O2axj7IZvNhsVioauri+HhYeDWIuHi4mKKiooIDQ31coVCCCHE/c3NzdHV1UVXVxdTU1P4+PiQnZ1NcXExeXl5O2J6fdOHsUexE8LYD83Pz9Pd3U1XVxcTExOoVCqysrIoLi4mPz9fOqALIYTYVGw2G2azGZPJxNqGu5SUFEpKSigsLLznTuLtSMLYNrPWZ6irq4u5uTkCAwPRarVUVlZu6Z0mQgghtr4bN25w6dIljEYjTqeTXbt2UVJSQnFxsafVzE4kYWybUhSFq1ev0tbW5jn8ubCwkH379pGUlOTt8oQQQuwQa+udL126RF9fH76+vpSUlKDT6UhMTNy268AexoOGMTmbcotRqVSkpaWRlpbG7OwsLS0tnt4saWlp7N+/n9zcXPkhEEIIsSFcLhdms5nm5mauX79OSEgIdXV1VFRUeBoei4cjI2PbgN1up6Ojg5aWFubm5oiJiWHfvn2UlpbKujIhhBDrwmazodfraWlpYWFhgdjYWPbt20dJScmOWIz/KGSacgdyu91YLBaam5sZGxsjKCiI8vJydDrdjp6zF0II8eimpqZob2/HaDTicDjIyMhg//79ZGdnyyzMfUgY28EUReHatWtcunSJ3t5eFEUhKysLnU5Hbm6u59w/IYQQ4k6cTidmsxm9Xs/Vq1fx9fWlqKiIffv2sXv3bm+Xt2VIGBPArfYYBoOBjo4O5ufnCQ8Pp6ysjPLyciIjI71dnhBCiE3kxo0b6PV6jEYjKysrxMTEoNVq0Wg0O64txXqQMCZu43a7uXz5Mu3t7QwMDKBSqcjNzUWr1ZKVlSWjZUIIsUO5XC76+vpob29neHgYHx8f8vPz0Wq1ZGRkyFTkY5DdlOI2Pj4+5OXlkZeXx8zMDB0dHRgMBvr6+oiKiqK8vJyysjLZCSOEEDvE7Oys51qwuLhIZGQkhw4doqysjPDwcG+Xt6PIyNgO5nK56O3tRa/Xe+6G1Go1Wq2W9PR0uRsSQohtxu12MzAwQHt7O5cvX0alUpGTk4NWqyU7O1tmSdaZjIyJ+/L19aWwsJDCwkKmp6c96wR6enrYtWuXZ51AcHCwt0sVQgjxGBYWFjAYDOj1eubn5wkLC6Ourk7WD28SMjImbuNwODw7aK5du+bZQaPVaklJSZHRMiGE2CIURWF4eJj29nbPzvrMzEzPznpfX19vl7jtyQJ+8dgmJydpb2/HZDKxurpKfHy856wxOQ9TCCE2p5mZGTo7OzGZTMzMzBAcHExZWRlarZaYmBhvl7ejSBgT62Z1dZWuri6MRiOjo6MAZGZmUlJSglqtli7/QgjhZSsrK5jNZjo7O7l27RoAGRkZaDQaCgoK8POTVUneIGFMbIgbN25gMpkwmUzMzs7i7++PWq2mtLSU9PR0WfwphBDrZHl5+YF6e7W2tvLVV1/hcrmIjY2ltLSU4uJiWQu2CUgYExtqrct/Z2cnPT092O12wsPDKS4uprS0lPj4eG+XKIQQW1J/fz/19fX4+fmh0WgoKSm5543ulStXMJvNlJaWkpiYKGt7NxEJY+KJcTqd9PX1YTKZGBgYwO12s3v3bs/6MuldJoQQD+7DDz+koKCAlJQUzp49S2ZmJvv370dRFAlaW4y0thBPjJ+fn6dFxtLSEt3d3ZhMJr766iu+/vprsrKyKC0tJS8vD39/f2+XK4QQm5bVaiUwMJDk5GSioqKorq7m3LlzVFZWyjKQbUzCmFhXoaGhVFZWUllZidVqpbOzk66uLj7++GMCAgIoKCigvLycPXv2eLtUIYTwiuXlZb777jscDgd5eXmo1WrPY4GBgczOznoW3KenpxMQEMDAwAC5ubkyOrZNSRgTGyYuLo4jR45w+PBhRkZGMJlMmM1mjEYj6enp7N+/n5ycHHljEULsGIqi0NLSgtvtprCwkAsXLqAoCmq1GpVKRUREBP7+/vT396PVagHIz89Hr9eTm5vr5erFRpEwJjacSqUiIyODjIwMnnvuOfR6Pc3Nzfzxj38kOjqavXv3UlZWRmBgoLdLFUKIDaVSqejp6eGNN94gPDwcp9PJ8PAwoaGhpKWlAaDRaDAYDOTn5xMaGkp2djZXr17F5XJJo9ZtSiagxRMVEBDA/v37+fu//3teeeUVwsLC+PLLL/nNb37DuXPnuHnzprdLFEKIDbVnzx6GhoYASElJITw8nJGREc/jBQUFhIeHc/HiRaanp2lvbycjI0OC2DYmI2PCK9aOWSoqKmJsbIzW1lba29tpbW0lNzeXvXv3kpmZKVOYQohtRVEUkpKSmJiYoLS0lPDwcHbt2sW1a9dYWVnxnAV88OBBzGYz//3f/01MTAx5eXlerlxspC3V2kKj0ShGo9HbZYgNsrCwQHt7O3q9nqWlJeLi4ti7dy+lpaWyC1MIsW2Mjo6i1+s9Z/729/fT1dXFiRMnGBkZISgoiKSkJOBW6yDpnr/1KIrCjRs3iIuLe6DWFltqmnJqaoovv/wSl8vl7VLEBggPD+fQoUP8wz/8A8ePH8fX15ezZ8/ym9/8hq+//pq5uTlvlyiEEA/M7Xbf8fd3795NbGwsDQ0NAJ4ZAB8fHxYWFjy9GRVFkSC2Ba2urnLmzBn+/d///YGfs6VGxnJycpTXXnuNlJQUTp48KUc9bHNrXf5bWlqwWCzArV1FlZWVpKamyhSmEGLTURSFwcFBWlpaCA8P58UXX7zr53388ccsLi4yOzvLsWPHZLfkNmC1Wjl9+jRWq5UDBw5w6NCh7dmB/5133uGzzz7D19eXEydOkJOT4+2yxBMwNzdHa2srHR0d2Gw2du/eTWVlJUVFRXLnKITwutXVVYxGI62trdy4cYOwsDD27dtHdXX1XZ/jcrmYnZ1l165dT7BSsVFMJhOff/45AQEBvPzyy2vrnrdnGGtvb+fGjRucPn2ayclJampqOHTokHQm3iFWV1fp6uqipaUFq9VKaGgoWq2W8vJyGSkVQjxxN27coL29HYPBgN1uJykpicrKSgoLC2X34w7hcDj44osv6OjoIC0tjVdeeYXw8HBgB5xNea8/vNj+FEVheHiYlpYW+vv7AcjMzESj0ZCfny8L/oUQG8Zut9PT04PRaOTatWuoVCoKCgqorKwkJSVFllDsIPcbHNr2YWxNZ2cnZ8+evW1YUOwsMzMzGI1GOjs7mZubIzAwkKKiIsrKykhKSpI3RiHEY1MUhStXrmA0GjGbzTgcDnbt2oVGo/G0qBA7S09Pz32XTe2YMAa3Fsx9+OGHTE9Pc/DgQWpra2XacgdaGy0zGo1YLBacTidxcXFoNBpKSko8O5SEEOJBzc7O0tnZidFoZHZ2loCAAIqKitBoNDIKtkM5nU6+/vprWltb77uhcEeFMbi1lujs2bOYTCYyMzN5+eWXCQ0NfcIVis3CZrN5phFGR0dRqVTk5OSg0WjIzc2VtRxCiLtyOBxYLBaMRiPDw8MAZGRkoNFoUKvVsgxiB5udneX06dOMj4+zb98+jhw5cs/ryY4LY3BrZMRgMPCnP/2JkJAQXnnlFc9ZX2LnslqtGI1GTCYTi4uLhISEUFxcTFlZGQkJCd4uTwixCSiKwtjYGAaDgZ6eHux2O1FRUZSWlqLRaIiKivJ2icLL+vr6OHPmDIqicPz4cdRq9X2fsyPD2JqJiQlOnz7NzMwMhw8fpqqqSoaSBW63m4GBAYxGI319fbjdbhITE9FoNBQXF3uOIRFC7BwLCwuYTCaMRiPT09P4+flRUFCARqMhPT1drh0Cl8vFt99+S1NTE4mJiZw8eZKYmJgHeu6ODmNwa7fLZ599htlsJjc3l5deekkutsJjeXmZrq4ujEYjExMT+Pr6kpeXh0ajISsrS9YcCrGNuVwu+vr6MBqNDAwMoCgKe/bsQaPRUFhYSGBgoLdLFJvE/Pw8H330EdeuXUOn03H06NGH6m2548MY3Bp2bmtr48svvyQ8PJyTJ0+SkpKygRWKrWhiYsIzjbmyskJISAj5+fmo1WoyMjJkfZkQ24DD4WBwcBCLxUJfXx92u53w8HDPNKQ0XhV/bnBwkE8++QSHw8ELL7xAcXHxQ38NCWM/MDY2xunTp1lYWOCZZ55h7969MvQsfsTlctHf34/ZbKa/v5/V1VWCgoLIy8tDrVaTlZUl3f6F2EJWV1e5fPkyFouF/v5+HA4HQUFB5OfnU1hYSGZmpoyCix9xu91cuHCB+vp64uPjOXXqFLGxsY/0tSSM/ZmVlRXOnDlDf38/BQUFnDhxQi6s4q6cTudtd9E2m42AgAByc3PZt28fycnJ3i5RCHEHiqIwMjJCa2srAwMDOJ1OQkNDPaPd6enpMtot7sput/PBBx8wPDyMRqPh2LFjj7V7VsLYHSiKQlNTE9988w3FxcWcOHFCRsjEfblcLoaHhzGbzVgsFmw2G1lZWdTV1ZGamurt8oQQ3Hp/HxgYoL6+ntHRUUJDQyksLEStVpOamiojYOK+nE4nf/zjHxkZGeH555+nrKzssb+mhLF7aGho4Ntvv0Wn03Hs2DEJZOKB2e122tvbaW5uZmlpibS0NOrq6sjIyJDvIyG8QFEU+vr6qK+v5/r160RGRlJdXU1ZWZnMfogH5na7+eijj7BYLBw/fhyNRrMuX1fC2D0oisI333xDU1MTVVVVHDlyRC6k4qE4HA70ej2NjY0sLi6SkpJCXV0d2dnZ8r0kxBPgdrsxm800NDQwNTVFdHQ0tbW1lJSUyDSkeCiKonDmzBlMJhNHjx5l37596/a1HzSM7cjbBpVKxZEjR1hdXaWpqYnAwEDq6uq8XZbYQvz9/dm3bx86nQ6DwUBjYyN/+MMfSExMpLa2lvz8fAllQmwAt9tNV1cXFy9eZHp6mtjYWE6cOEFRUZFMRYqHpigKf/rTnzCZTBw6dGhdg9jD2JFhDG4FsmPHjrG6usp3331HYGAglZWV3i5LbDF+fn5UVFRQXl6OyWSioaGBDz/8kPj4eGpraykoKJALhBDrwOVy0dnZycWLF5mZmSEhIYGTJ0+iVqvlZ0w8EkVROH/+PO3t7VRVVVFbW+u1WnbkNOUPud1uTp8+TW9vLy+++OK6LNgTO5fb7aa7u5uGhgamp6eJjo5Gp9Oh0WgICQnxdnlCbDnz8/N0dHTQ0dHBwsICSUlJ1NXVkZubK6PP4rE8ifXjsmbsITidTt5//32GhoZ45ZVXKCwsXPfXEDuLoiiYzWZaW1u5evUqvr6+FBQUoNPp2LNnj1xEhLgHRVEYHBxEr9fT19eHoihkZWWxb98+srKy5OdHPLaWlha++OILSkpKeOmllzbse0rC2ENyOBz813/9F6Ojo/z0pz8lNzd3Q15H7DxTU1O0t7djMpmw2+3ExcWh0+koKSkhKCjI2+UJsWksLS1hMBjo6OhgZmaGkJAQysrK0Gq1REdHe7s8sU0YDAY+++wz8vPzOXXq1IZOc0sYewQ2m413332Xqakpfv7zn5ORkbFhryV2ntXVVbq7u9Hr9YyPj+Pv709RURE6nY6kpCRvlyeEVyiKwpUrV9Dr9ZjNZtxuN+np6Wi1WvLz86U9hVhXPT09fPzxx2RmZvLqq69u+PeXhLFHtLy8zNtvv83s7Cyvv/66nGUpNsT4+Dh6vZ6uri4cDgeJiYnodDqKiooICAjwdnlCbLiVlRU6OzvR6/VMT08TFBREaWkpWq2WuLg4b5cntqH+/n4++OADUlJSeO211x6rs/6DkjD2GBYWFnjrrbdYWVnhjTfeYPfu3Rv+mmJnsnZfOkoAACAASURBVNlsdHV10d7eztTUFAEBAZSUlKDT6UhISPB2eUKsK0VRGBsbQ6/X093djdPpJCUlBa1WS2Fh4RO5OIqdaXh4mPfee4/4+Hhef/31J7ZERMLYY5qdneWtt97C5XLxi1/84pEPCRXiQSiKwujoKO3t7fT09OByudizZ4/nIiVTNWIrs9vtdHV1odfrmZiYICAggOLiYnQ6ndzsig03OjrK73//eyIjI/nFL37xRHe2SxhbB9PT07z11lv4+fnx5ptvEhUV9cReW+xcy8vLdHZ20t7ezs2bNwkODvZM38hNgdgqFEVhYmLCMx2/urpKQkICOp2O4uJiAgMDvV2i2AEmJyd5++23CQ4O5s033yQ8PPyJvr6EsXUyMTHBO++847V/SLFzKYrCyMgI7e3t9Pb24na7SUhIQK1WU1BQIOtqxKazFsDMZjMWi4UbN27g5+dHUVERWq2W5ORkaUshnpjp6WnefvttfH19vTagImFsHY2OjvLuu+8SFRX1xIc4hQBYXFykq6sLi8XCtWvXAIiNjfUEs4SEBLnICa9Ym2K3WCxYLBZmZ2dRqVSkp6ejVqspKioiODjY22WKHWazLDWSMLbOfrj474033pAhduE1CwsLngvflStXUBSF6Oho1Go1arVaRh/EhnO73Vy9ehWz2Uxvby8LCwv4+PiQmZmJWq0mPz9fblqF12ymTXgSxjaAN7bFCnEvS0tL9Pb2YrFYGB4exu12ExERQX5+PgUFBezZs0fO7RPrwuVyMTIy4glgy8vL+Pn5kZ2djVqtJjc3V5oYC6/bbO2pJIxtkCfdME6IB7WyskJ/fz8Wi4WBgQFcLhehoaGeYJaWloavr6+3yxRbiNPpZHBwEIvFQl9fHzabjYCAAHJyclCr1eTk5EhfPLFp2O123nnnnU3VuF3C2AZaO0pBo9Fw/Phxb5cjxI/Y7XYuX76MxWLh8uXLOBwOgoODOXDgABUVFTJaJu7J5XJx8eJFmpqaWF1dJTAwkLy8PNRqNVlZWTIrIDYdRVF47733GB4e3lRHGj5oGJNhnUdQVlaG1WqlubmZ6upqaTcgNp3AwECKioooKirC4XAwMDBAe3s7X3zxBd3d3bz44ouyG1Pc0djYGJ999hlTU1Oo1WrKy8vJyMiQUVWxqV25coXBwUGOHj26aYLYw5Aw9oiqq6tpa2ujsbFRRsfEpubv7+9ZVG0ymfjyyy/5j//4D7RaLdXV1URERHi7RLEJ3Lx5k4aGBjo7OwkLC+PVV18lLy/P22UJ8UAuXrxIaGgoWq3W26U8Egljjyg0NJTy8nLa29s5ePAgkZGR3i5JiHtSqVSUlpaSlZXF+fPnaW9vR6/Xo9FoqKmpkabGO5TVaqWhoYHu7m58fX3Zu3cvBw8elMX4YssYHx9ncHCQw4cPb9kpdAljj6Gqqgq32y3rb8SWEhYWxvHjxzlw4AAXL17EaDRiMBgoKSmhpqaGXbt2ebtE8QRMTEzQ0NCA2WzG39+fffv2UVVVRVhYmLdLE+KhXLx4kcDAQHS6+y7N2rRkAb8QO9z8/DyNjY10dHTgcrkoKiqitrZW1pRtU2NjYzQ0NNDX10dgYCB79+5l37590hdMbEnT09P827/9GzU1NRw+fNjb5fyILOAXQjyQiIgInnvuOWpra2lubqatrY2uri7UajV1dXVykPM2cfXqVerr6xkcHCQoKIiDBw9SWVkp05FiS7tw4YJnZHcrkzAmhABuTV8+/fTTVFdXc+nSJVpbW7FYLOTm5lJXV0dycrK3SxQPae180/r6ekZGRggJCeHw4cNUVFTIKSJiy5ucnKS7u5uamhpCQ0O9Xc5jkTAmhLhNSEgITz31FFVVVbS0tHDp0iV+97vfkZWVRV1dHampqd4uUdyHoigMDg5SX1/PtWvXCAsL45lnnkGr1UqTVrFtfP/99wQGBlJVVeXtUh6bhDEhxB0FBQVx4MAB9u3bR1tbG83Nzbz11lukp6dTV1dHenq6nIG5ySiKQl9fHw0NDYyPjxMREcGxY8coKyuT00LEtjI+Pk5vby8HDhzYFgfRy0/nE2S327HZbNIGQ2wpgYGB1NTUUFlZiV6vp7GxkXfffZc9e/ZQW1tLdna2hDIvc7vdWCwWGhoamJycJDo6mhdeeIHS0lJp1iq2pe+//56goKAtv1ZsjYSxDaAoCiqVyvPfNQsLC5w9e5YTJ05Io02x5awtktXpdBgMBhobG/nDH/5AYmIie/fuJS8vb1vcoW4li4uL9Pb20tLSwvT0NLt27eKll16iuLhYWu6IbevatWtcvnyZp556attsQJEwtgGamppwOp3U1NR47kpdLhexsbGEh4czNDSERqPxcpVCPBo/Pz8qKiooLy+ns7OTxsZGPv30U3x8fMjIyPB0+9/qC2o3q/n5eSwWCxaLhStXrgCQkJDAyZMnUavVEsLEtvf9998TEhJCZWWlt0tZNxLGNsDExARDQ0NYrVYyMjIoKiry7FxKSUlhcnLSyxUK8fh8fX0pLy+nrKyM8fFxzGYzFouFzz//nLNnz5KWluYJZjIS/HhmZmY8f79jY2MAxMfHc+DAAdRqNfHx8TJVLHaEkZERhoaGeOaZZ7bVZhQJYxuguLgYgEOHDnHhwgXMZjOpqanY7XaGhoY4evSolysUYv2oVCqSk5NJTk7myJEjTE5OekZuzp07x7lz50hJSUGtVlNQUCDHLj2g6elpTwCbmJgAIDExkaeeeoqCggI5KUHsOIqi8N133xEWFralu+3fiXTg3wDz8/P8/ve/56//+q9xu92Mj49jMpmIjY0lKSmJxMREWVQrdgSr1eoJZj8MFGvBTALF/6YoClNTU54AZrVaATxBVq1WEx0d7eUqhfCewcFB/uu//ovnnnuOvXv3erucB/KgHfgljG2Q8+fPU1NT45metNvt9Pf3s7S0xNTUFBqNRvo1iR3lblNta0FjJ061KYrC+Pi4J7DevHkTlUolU7xC/BlFUfhf/+t/sbCwwN/+7d9umVYtchySl2VkZDA6OkpWVhYARqORvr4+CgsLWVhYwGQySRgTO0p0dDTV1dVUV1czNzdHb28vFouFCxcucOHCBWJiYlCr1WRnZxMfH78tz0pUFMVzQ9bf309vby9zc3OezQ9VVVWy+UGIO7h8+TJjY2O88MILWyaIPYzt9yfaJFZWVhgYGPCEscTERIxGI1qtlj179vD55597uUIhvCcyMpLKykoqKys97RksFgtNTU00NjYCt04CiIuLIzY2lri4OOLi4ti9e/eWCWmLi4tMTExgtVqxWq1MT09jtVqx2WzArQ0QWVlZHDx4UNqCCHEPa2vFoqOjKS0t9XY5G0LC2AZJSkqiubnZ83FgYKDnzTY+Pp6goCAcDgf+/v7eKlGITWFtMa5Op2N5eZnx8fHbAkxPT48nwAQEBPBP//RPm/7OeHFxkX/5l3/B7XYD/ztYFhYWeoJlcnKynA8pxAO4evUqExMTHD9+fNuut97c72hbWHR0ND4+PrS0tJCZmUlbWxsFBQW43W58fHw4evTojlsfI8T9hISEkJ2dTXZ2tuf31qb2GhoaaG1txeVybfowZrPZcLvdHDx4kIqKii0zmifEZmS32wGIi4vzciUbR7oDbqCjR4+ysLDAJ598gsvlIi8vz9OQcdeuXZv+giLEZqBSqQgLC9uSLTFiYmIkiAnxmHbv3s3x48e39W5iSQMbKDk5mfj4eI4cOeLtUoQQQogtKSIiYtufWiMjYxtsbU2Y2+32rB8RQgghhFgjYWyDffrpp9hsNnx8fOTMOCGEEEL8iExTbrCKigrP6NjKygrz8/M4HA7PLqrtvCBRCCGEEPfn1TCmUqmeBX4L+AK/UxTl//VmPRshKSkJuHV4eH9/PwsLC6yurnLjxg0CAgLIzMykpqbGy1UKIYQQwlvuGsZUKtWfgL9SFGVkI15YpVL5Av8GPA2MAm0qleozRVHMG/F63tTd3c358+cpKioiPz+fuLg4zxEnv/71r6mqqpIpTCGEEGKHutfI2NvAVyqV6h3g14qiONb5tfcCA4qiDAGoVKr3gePAtgtjra2tvPHGG7dtzVcUhZmZGRITE5mfn9+S2/aFEEKIJ81ut2Oz2YiMjPR2KevmrmFMUZQPVSrVWeD/BtpVKtXvAfcPHv/NY752MnDtBx+PApV//kkqleqXwC+BLXuWo9vt5vr166hUKux2O8vLy8zOztLT00Nubi7h4eHeLlEIIYTYVBRFQaVSef67ZmFhgbNnz3LixAnPLNNWd781Yw5gCQgEwvlBGFsHd2o/r/zoNxTlP4H/BNDpdD96fCt46qmnuHTpEgaDgdjYWOx2O35+fuzdu5ecnBxvlyeEEEJsOk1NTTidTmpqajzHILlcLmJjYwkPD2doaGjb9B+715qxZ4HfAJ8B5YqiLK/za48Ce37wcQowvs6vsSlkZmaSlpbG4uIiVquViIgIYmJipAO/EEIIcRcTExMMDQ1htVrJyMigqKjI04kgJSWFyclJL1e4fu6VBv4v4JSiKD0b9NptQI5KpcoAxoBXgZ9t0Gt5na+vL5GRkdtqjlsIIYTYKMXFxQAcOnSICxcuYDabSU1NxW63MzQ0xNGjR71c4fq56xY+RVFqNzCIoSiKE/gb4EvAAny4ka8nhBBCiK1j9+7dTExMEBMTw/Hjxzl06BBLS0tERUXx/PPPb9l15Hfi1XkyRVH+BPzJmzUIIYQQYvOJiIggPz8fu91OYGAgKSkpxMXF0d/fz+joKB0dHWg0mm0RyqS5lRBCCCE2pYyMDEZHRz0fG41GDAYD/v7+LCwsYDKZvFjd+pEwtoHm5uYwGo0sL6/33gchhBBi+1tZWaG7u9vzcWJiIisrK2i1Wp5++mmmpqa8WN36kTC2ga5fv86nn37K3Nyct0sRYstSFIWFhQVmZ2e9XcpDu3nzJktLS94uQ4gtKykpCavV6vk4MDCQ4OBgAOLj4wkKCsLhWO+e9E+e9FbYQGuJfW0rrhDi3paXlxkbG2N6ehqr1YrVamV6ehqbzQZAQECAp9/QZhYUFISPjw/ff/8933//PSEhIcTGxhIXF0dcXByxsbGkpKTIe4MQ9xEdHY2Pjw8tLS1kZmbS1tZGQUEBbrcbHx8fjh49eltD2K1KwtgGsdlsNDc3k5OTQ0xMjLfLEWLTWlxcpLe3F7PZzMjICIpyq7dzaGgocXFxFBUVeQLM7t27t0R/vrCwMP7xH/+RiYkJT6C0Wq309PR4gqWvry9ZWVmo1Wry8vI8d/tCiNsdPXoUi8XCJ598wu7du8nLy/Oc57xr1y4vV7c+Nv+72hZ16dIlbDYbBw8e9HYpQmw6c3NzWCwWLBYLV69eBW69qVZXV5OdnU1cXBwhISFervLxhIWFkZ2dTXZ2tuf3FEVhaWmJqakpLl++jMViob+/Hx8fHzIyMlCr1eTn5xMaGurFyoXYXJKTk4mPj+fIkSPeLmXDqNbuQrcCnU6ntLe3e7uM+1pZWeG3v/0tGRkZ/PSnP/V2OUJsCjdv3vQEsLGxMeDWmg+1Wk1BQQFxcXHbYrrhYSiKwvXr1zGbzVgsFm7evIlKpSI1NRW1Wo1ard42Z+8JsR7c7lunMq6NjG12KpVKryiK7r6fJ2Fs/Z0/f56LFy/yq1/9ioSEBG+XI4TXWK1WT9BYO7okKSnJEzS2yxTDelAUhampKc/f19qi5ZSUFM/fV3R0tJerFMI7Pv30U44ePUpQUJC3S3koEsa8ZGlpid/+9rfk5eXxyiuveLscIZ4oRVGYnJz0BIrp6WkA9uzZ4wkUUVFRXq5ya5ienvaMJF6/fh241ZG8oKAAtVpNbGyslysU4skZHx8nISEBX19fVlZWmJ+fx+FweDbBxMXFebnCO5Mw5iVfffUVly5d4q/+6q/kzVLsCIqiMDY25gkOMzMzqFQq0tLSPAEsPDzc22VuaTMzM56/37UGmHFxcZ4p3vj4+B03xSt2pomJCfr7+1lYWGB1dZUbN24QEBBAZmYmNTU13i7vRx40jMkC/nW0sLBAW1sbJSUlEsTEtudyuejs7OTixYvMzMx4FqFXV1fLIvR1Fh0dTVVVFVVVVczPz3uCWUNDA/X19SQkJFBTU0NBQcGWWUsjxMPq7u7m/PnzFBUVkZ+fT1xcnGdN5a9//Wuqqqq27Pe/hLF11NDQgNvt5sCBA94uRYgN43Q6MRgMNDY2Mjc3R1JSEnV1ddKe4QmJiIigsrKSyspKlpaWsFgstLS08PHHH/P9999TW1tLcXHxlr0oCXE3ra2tvPHGG7ctdVAUhZmZGRITE5mfn9+yyyAkjK2Tubk5z6GlsshWbEcOh4P29naamppYXFxkz549PP/882RlZckUmZeEhoai0+nQarVYLBbq6+s5c+YMFy5coKamhtLS0i3RJFeIB+F2u7l+/ToqlQq73c7y8jKzs7P09PSQm5u7pZdDyJqxdfI///M/dHZ28rd/+7dERkZ6uxwh1o3dbqetrY3m5maWl5dJT0+nrq6O9PR0CWGbjKIo9Pf3U19fz/j4OBEREVRXV1NeXr4lmuUKcS9DQ0NcunQJgNjYWOx2O35+fmRnZ5OTk+Pl6u5M1ow9QTMzMxiNRrRarQQxsW3YbDZaWlo8DYyzs7Opra0lNTXV26WJu1CpVOTl5ZGbm8vg4CD19fWcO3eOhoYGqqqq0Gq1BAQEeLtMIR5JZmYmaWlpLC4uYrVaiYiIICYmZlvcaGz9P8EmcOHCBXx8fKitrfV2KUI8tuXlZZqbm2lra8Nut5OXl0dtbS3JycneLk08IJVKRXZ2NllZWYyMjFBfX89XX33FxYsX2b9/PxUVFXIuptiSfH19iYyM3HYDHxLGHtP09DQmk4l9+/Zt6flqIRYXF2lqaqK9vR2Hw0FBQQG1tbXs3r3b26WJR6RSqcjIyCAjI4OrV6/S0NDA+fPnaWxs9GwCkE0XQnifhLHH1NjYiK+vL9XV1d4uRYhHMj8/T2NjIx0dHbhcLoqKiqitrd20TRTFo0lNTeXnP/85Y2NjNDQ0cOHCBS5dukRFRQX79+/f8meBCrGVSRh7DHNzc5hMJnQ6nfRUElvOzMwMjY2NGI1GFEWhpKSEmpoaOaJom0tOTubVV19lYmKChoYGLl68SEtLCzqdjqqqKsLCwrxdohAP5ebNm1y8eJFnnnlmyx2XtEbC2GNoamoCoKqqysuVCPHgFhcXOX/+PJ2dnfj4+KDRaKipqdmy/XnEo9m9ezenTp3CarVy8eJFLl26RFtbG1qtloMHD27Zi5rYeex2OwaDgZiYmE3Zhf9BSBh7REtLS3R0dFBSUrLtFhKK7UlRFEwmE1988QUOh4OKigqqq6s9HazFzhQXF8eJEyc4cOAADQ0NtLa2Yjab+clPfkJeXp63yxPivhITE8nKyuLSpUtUVlbi7+/v7ZIemoSxR9TY2IjT6ZS1YmLTczgcDAwM0N7eztDQEHv27OGFF16QNWHiNjExMRw/fhydTsdnn33G+++/j1qtpqysjMzMTGkeKza1mpoa3nnnHfR6Pfv27fN2OQ9NwtgjMBgMNDc3o9Fo5AxKsSnZ7XYuX76MxWLh8uXLOBwOgoODefbZZ9m7d680axV3lZyczC9/+UsuXrxIU1MTFouFwMBA8vLyUKvVZGVlbcmRB7G9paWlkZWVxddff01MTAy5ubneLumhSAf+h9Td3c3HH39MVlYWr7766rZoNie2h5WVFfr6+rBYLAwODuJyuQgNDSU/P5+CggLS09PlvELxUJxOJ0NDQ1gsFnp7e7HZbPj7+5Obm4tarSYnJ0eayIpNw2638+677zI5OcnPf/5zMjIyvF3SA3fglzD2EPr7+/nggw9ISUnhtddek7tD4XVLS0v09vZisVgYHh7G7XYTERGBWq1GrVazZ88eCWBiXbhcLkZGRjzBbGlpCT8/P7KyslCr1eTl5cmif+F1y8vLvP3228zOzvL666+TkpLi1XokjK2z4eFh3nvvPRISEnj99dele7Xwmvn5eU8Au3LlCoqiEB0djVqtpqCggKSkJJmGFBvK7XZz9epVLBYLFouFhYUFfHx8yMzMRK1Wk5+fL33LhNcsLCzw1ltvsbKywhtvvOHVxtUSxtbR6Ogo7777LlFRUfziF7+QNxnxxC0uLmIymbBYLIyOjgK3dsGtjYAlJCRIABNeoSgKY2NjmM1mLBYLs7OzqFQq0tPTUavVFBUVSZd/8cTNzs7y1ltv4XQ6efPNN722vlvC2DqZmJjgnXfeITg4mDfffFOOPBJPjKIoDA8Po9fr6e3txe12s3v3bk8Ak92QYrNRFIWJiQnPiNn09DR+fn4UFhai0+lITk6WmwbxxNy4cYO33noLX19f3nzzTa/0UpQwtg6mp6d566238PPz89o/pNh5lpeXMRqN6PV6bt68SXBwMBqNhvLyctm9K7aUiYkJ2tvb6erqYnV1lYSEBHQ6HcXFxbLUQzwRk5OTvP32214bUJEw9pjWhjhdLhdvvvmmHBEjNpSiKFy7dg29Xk9PTw8ul4s9e/ag0+koKCiQXbtiS7Pb7XR1daHX65mYmCAgIIDi4mJ0Op0cRC823OjoKL///e+JjIx84kuNJIw9hs20+E9sbzabDZPJhF6vZ2pqisDAQEpKStBqtSQkJHi7PCHWlaIojI+P097eTnd3N06nk+TkZHQ6HYWFhbJDXWyYkZER3nvvPeLi4nj99def2M5fCWOPaLNtixXb0w8vSA6Hg8TERHQ6HUVFRdK3SewIKysrmEwm2tvbmZ6eJigoiNLSUrRarayHFBvih+2pfv7znz+R91oJY4/AZrPx7rvvYrVa+dnPfrYpGsaJ7WN1dZXu7m70ej3j4+P4+/tTVFSETqcjKSnJ2+UJ4RWKonD16lXa29sxm8243W7S0tLQarWo1WqZohfrqqenh48//pjMzMwn0rhdwthDWl1d5b333mN0dJSf/vSnW+4oBbF5TU1N0d7ejslkwm63ExcXh06no6SkRJpkCvEDS0tLns0rMzMzhISEoNFo0Gq1xMTEeLs8sU0YDAY+++wz8vPzOXXq1IY2xpYw9hCcTifvv/8+Q0NDvPLKKxQWFq77a4idxe12Y7FYaGlp4dq1a/j6+lJYWIhWq2XPnj2yvV+Ie1AUhaGhIdrb2+nr60NRFLKysqisrCQ7O1t+fsRja2lp4YsvvqCkpISXXnppw76nHjSM7fjxX7fbzccff8zg4CAvvviiBDHxWNxuN93d3TQ0NDA9PU1MTAxPP/00Go1GmgUL8YBUKhVZWVlkZWUxPz+PwWBAr9fzhz/8gaSkJGpra8nLy5NQJh5ZZWUlq6urfPvtt/j7+/OTn/zEq99PO3pkTFEUzpw5g8lk4tlnn6WysnLdvrbYWVwuF52dnVy8eJGZmRni4+Opq6tDrVbL2ZBCrIM//xlLSEigtrZWfsbEI1MUhfPnz9PY2EhVVRVHjhxZ90AmI2P3oSgKZ8+exWQycejQIQli4pE4nU4MBgONjY3Mzc2RmJjIT3/6U7lrF2Kd+fr6Ul5ejkaj8Yw+f/TRR8TGxlJTU0NxcbGEMvFQVCoVhw8fxm6309TURGBgIHV1dd6pZSeOjCmKwjfffENTUxPV1dUcPnxYLpzioTgcDtrb22lqamJxcZGUlBTq6upkPYsQT8jausz6+nqmpqaIjo6mpqaG0tJSfH19vV2e2EIUReHTTz+ls7OTo0ePsm/fvnX72rKA/x4aGhr49ttv0el0HDt2TC6e4oHZ7Xba2tpobm5meXmZ9PR06urqSE9Pl+8jIbxAURT6+vqor6/n+vXrREZGUl1dTVlZmbTFEA/M7Xbz0UcfYbFYOH78OBqNZl2+roSxO1AUhcbGRs6fP09xcTEnTpyQC6i4L5fLxfDwMGazGYvFgs1mIysri7q6OlJTU71dnhCCW+/vg4OD1NfXc+3aNUJDQykoKKCgoIDU1FSZwhT35XK5+MMf/sDIyAjPP/88ZWVlj/01JYz9mZWVFc6cOUN/fz8FBQW8/PLLMpQt7srhcDA4OIjFYqGvrw+73U5AQAB5eXlUVlaSnJzs7RKFEHegKAojIyO0trYyMDCA0+kkNDSUvLw8CgoKSE9Pl/d+cVd2u50PPviA4eFhNBoNx44de6xjuiSM/cDY2BinT59mYWGBZ555hr1798qImPgRl8tFf38/PT09XL58mdXVVYKCgsjPz0etVpOZmSnTHkJsIaurq1y+fBmLxXLbz3ReXh6FhYVkZWXJiJn4EbfbzYULF6ivryc+Pp5Tp04RGxv7SF9Lwhi37pBaW1v56quvCA8P59SpUzKiIX5kYmICg8FAV1cXKysrchctxDbkdDo9o929vb3Y7XbCw8MpKSlBo9E88sVWbF+Dg4N88sknOBwOXnjhBYqLix/6a+z4MGaz2fif//kfzGYzubm5vPTSSwQHB29whWKrWF5epqurC6PRyMTEBL6+vuTn56PRaMjMzJS7ZSG2sbVRcKPRyOXLl1EUhZSUFDQaDUVFRQQGBnq7RLFJzM/P89FHH3Ht2jW0Wi3PPvvsQ82Q7OgwNjExwenTp5mZmeHw4cNUVVXJtKTA7XYzMDCA0Wikr68Pt9tNYmIiGo2G4uJiCetC7EALCwuYTCaMRiPT09P4+flRUFCARqORXdICuBXev/32W5qamti9ezenTp164LNSd2QYUxSFjo4Ozp07R0hICCdPnpTdbgKr1YrRaMRkMrG4uEhISIhnaiIhIcHb5QkhNgFFURgbG8NoNNLd3Y3dbicqKorS0lI0Gg1RUVHeLlF4WV9fH2fOnEFRFI4fP45arb7vc3ZcGFtdXfV01M/MzOTll18mNDT0CVcoNgubzUZ3dzdGo5GxsTFUKhW5ubloNBpycnJkHZgQ4q4cDge9vb0YjUaGhoYASE9PR6PRUFBQ8Fi768TWCuQanwAAIABJREFUNjs7y+nTpxkfH6eyspKnn376nteTHRXGrFYrH374IdPT0xw8eJDa2lpZ87MDKYrC8PAwRqMRi8WC0+kkLi4OjUZDSUkJYWFh3i5RCLHFzM3NYTQa6ezsZGZmhoCAAAoLCykrKyMlJUWmMXcgl8vFV199RWtrK8nJyZw6dYrIyMg7fu6OCWOdnZ2cPXuWgIAAXn75ZTIzM71UnfCWmZkZz5vl3NwcQUFBFBUVodFoSEpKkjdLIcRjUxSFK1euYDQaMZvNOBwOdu3ahUajobS0lPDwcG+XKJ4ws9nMp59+iq+vLy+99BK5ubk/+pxtH8YcDgfnzp3DYDCQlpbGK6+8Ij8MO4iiKAwNDdHS0sLly5cByMrKQqPRkJ+fL/3AhBAbxm63YzabMRqNXL16FZVKRUFBAZWVlTJatsPcvHmT06dPMzExQXV1NU899dRtM3PbOozduHGD06dPMzk5SU1NDYcOHZJpyR3C4XDQ2dlJa2srVquV0NBQtFot5eXldx0mFkKIjXLjxg30ej0dHR3Y7XaSkpKorKyksLBQ1qbuEA6Hgy+++IKOjg5SU1M5efKkZ3Bo24axd955h88++wxfX19OnDhBTk6Ot8sST4CiKJw/fx69Xo/NZiMxMdHzhiejYEIIb1tdXaWzs5OWlhZu3LhBWFgYWq0WnU4n61V3CJPJxOeff46/vz+vvPIKmZmZ2zOM5eTkKK+99hopKSmcPHlSRkK2ieXlZUJCQu77eX/84x/x8/OjsrKSPXv2yFSAEGLTWTuwvKWlhYGBAXx9fSkqKqKyspLExERvlyc2mNVq5fTp01itVg4cOMChQ4e2XxhLSkpS3n77bQ4fPizDv9tAf38/9fX1+Pn5eXY83mu62e12y3S0EGLLmJ6eprW1FaPRiMPhIDU1lcrKSvLz8+W9bBtba7XV09PDP//zP2+/MKbRaBSj0ejtMsQ6+fDDDykoKCAlJYWzZ8+SmZnJ/v37URRFRr2EENuGzWbDYDDQ2trK7OwsERERVFRUoNVq5eSPbUpRFG7cuEFcXNwDhbEttdhG1gZtH1arlcDAQJKTk4mKiqK6uppz585RWVkpd4xCiG0lKCiI/fv3U1lZSX9/Py0tLZw/f54LFy5QUlJCZWUl8fHx3i5TrCOVSvVQh89LuhEbZnl5me+++w6Hw0FeXt5tR0cEBgYyOzvrCdjp6ekEBAQwMDBAbm6ujI4JIbYdHx8f8vPzyc/PZ3JykpaWFkwmEx0dHWRmZrJ3715yc3PlvW8HkiEIsSEURaGlpQW3201hYSGNjY2YzWbWpsUjIiLw9/env7/f85z8/Hz0er23ShZCiCcmISGBF198kX/8x3/kqaeewmq18v777/Ov//qv6PV6nE6nt0sUT5CMjIkNoVKp6Onp4Y033iA8PByn08nw8DChoaGkpaUBoNFoMBgM5OfnExoaSnZ2NlevXsXlcskGDSHEjhASEkJtbS1VVVVYLBaam5v5/PPP/z/27jy4res+9Pj3YiVAgiRAgAS47xRJcRFJUastWXZsS94SN01tJ42TdLJMtjqts0z6pv/1zbSd6SSdpu1zkzTznKZJGtuNrTTeY0mxLUvcKVEUxX0FuIAACQIgCOC+P/hwIkaSI9uSuJ3PDCYhLgAeyuS9v/s7v/M7vPrqq1RXV1NXVycbyW4DMhiTbpq8vDwGBwfFyWR2dpbh4WERjFVVVdHf389vf/tbGhsbaWlpoaioSAZikiRtO4kWGNXV1QwNDdHe3k5nZyetra3YbDZqa2upra3FarWu91Clm0AGY9JNoaoq2dnZuN1usW9bRkYGY2NjhEIhsYLo8OHD9PT08Nxzz2Gz2aioqFjnkUuSJK0fRVEoLi6muLhYbLvU1dXFG2+8wRtvvEF+fj61tbVUV1eTlJS03sOVbpBN1driahuFSxvX+Pg4ra2tNDY2kpubS19fH93d3XzkIx9heHiYpKQksrOzAYhGo3K1rCRJ0jX4/X66urro6upidnYWrVZLRUUFdXV1lJSUyBmFDep6O/DLq5/0vqiqyujoKJ2dnezbtw+Hw3HFa5xOJ3a7nVOnTvHoo4+KmgeNRsPi4qJY9quqqgzEJEmS3kVaWhq33XYbBw8eZGpqis7OTs6dO0dPTw9ms5mdO3dSV1eHy+WS9WWbkMyMSe/J3NwcnZ2ddHd34/P50Ov1PPTQQ1RXV1/19aqq8swzzxAIBPD5fBw7dozy8vJbPGpJkqStJxaL0d/fT1dXFxcvXiQWi2G320V9mdwycP1tyb0pZTC2PiKRCN3d3XR0dDA+Pi5qGmpra9mxYwcGg+Fd3x+LxfD5fGRkZNyiEUuSJG0v4XCY8+fP09XVxejoKLDav3HXrl1UVVXJ2Yd1IoMx6QPzeDy0tLTQ1dVFJBIhMzOTuro6ampqsFgs6z08SZIk6Srm5+fp6uqis7OT+fl5TCYT9fX1NDY2ypviW0wGY9L7srKyQk9PDy0tLYyPj6PT6aiurqapqYmcnBxZiyBJkrRJqKrK0NAQra2t9Pb2Eo/HKS4uprGxkYqKCln0fwvIYEx6T2ZnZ2ltbaWjo4NwOExGRgZNTU3U1dXJjWwlSZI2ucXFRdrb22lra8Pv95OSksKuXbtobGyUtWU3kQzGpD8oFotx4cIFWltbGR4eRqPRUFlZSVNTEwUFBTILJkmStMXE43H6+/tpbW2lr68PRVEoKyujsbGR0tJSNBq5S+KNJFtbSNc0Pz8vsmBLS0ukp6dz5513Ul9fT0pKynoPT5IkSbpJNBoN5eXllJeX4/P5aGtro729nb6+PtLS0mhoaGDXrl2yLvgWk5mxbSIej9PX10drayv9/f0oikJ5eTlNTU2UlJTILJgkSdI2FYvFuHjxIq2trQwODqLRaKioqKCpqYmioiJ5ffgAZGZMAmBhYYG2tjba2tpYXFzEYrFw6NAhGhoaSE1NXe/hSZIkSetMq9VSVVVFVVUVXq+X1tZW2tvbuXDhAjabjcbGRurr6zGbzes91C1LZsa2IFVVGRsb4/Tp0/T29qKqKqWlpTQ2NlJeXi5rAiRJkqR3FY1GuXDhAi0tLYyOjqLVaqmurmbfvn04nc71Ht6mIQv4t6F4PE5PTw+nT59mYmICk8lEQ0MDjY2NWK3W9R6eJEmStAlNT0/T0tJCZ2cnkUiEoqIi9u7dS1lZmZzC/ANkMLaNhMNh2traOHPmDH6/H5vNxt69e6mrq/uD3fElSZIk6XqEw2FaW1s5c+YMCwsLZGRkiGuNXq9f7+FtSDIY2wZ8Ph/vvPMObW1tRCIRCgoK2LdvH+Xl5fJuRZIkSbopYrEYPT09vP3220xNTWE2m2lqamL37t1yRf7vkcHYFqWqKqOjo5w9e5aenh4URaG6upq9e/eSnZ293sOTJEmStonE9ejtt9/m4sWLaLVaampq2L17Ny6XSyYFkKspt5zp6Wm6uro4d+4cfr8fo9HIvn372LNnj1wVKUmSJN1yiqJQUFBAQUEBc3NznD59mo6ODjo6OsjIyKCmpoaamhpsNtt6D3XDk5mxDWxhYYHu7m66u7vxeDwoikJpaSk1NTVUVFTIejBJkiRpQwmHw/T09NDd3c3w8DAAubm51NTUUF1dTXJy8voO8BaT05Sb1NV+kXNycqitrd2Wv8iSJEnS5uT3+zl37pxIKGg0GkpKSqipqWHHjh3bouhfBmObiKqqjIyM0NbWxoULF4hGo9hsNpHizcjIWO8hSpIkSdL75vF4xEzPwsICBoOBnTt30tDQQHZ29patL9vQwZiiKH8PPABEgAHg06qq+v7Q+7ZaMLa4uCjm171eL0ajkZqaGurr67f0L6e0faiqKn+PJUkSEsmHzs5Ozp07RzQaJTMzk4aGBmpqarZcl/+NHozdDbyuqmpUUZS/BVBV9Zt/6H1bIRiLx+NcunRJbMyqqioFBQU0NDRQWVm5LdK20tYTjUbRaDRX3d1hZGRE9MC78847KSoqWocRSpK00YTDYc6dO0d7ezuTk5NotVoqKyvZtWvXltkTc0OvplRV9eXLvjwNfHQ9xnEreb1e2tvb6ejoIBAIkJyczP79+9m1a5echpQ2rEgkwuTkJPPz84RCIXbs2CFWRr344osMDAxgNBpZWlrikUceISsra002LBaL0dbWRn5+PpmZmZw+fRqtVkt+fv56/liSJG0ASUlJNDU10dTUhNvtpr29XXQNSE9PZ9euXdTX12+LjgHrXjOmKMoLwM9UVf3xNY5/DvgcQH5+fuPIyMitHN4HsrKywoULF2hvb2d4eBhFUSgrK2PXrl2UlZWh1WrXe4iS9K7GxsZobW1Fq9WSOFckegj953/+J7m5udx2221XvC8RkPX399Pb28ttt91GWloazz33HE6nk3379l3ze8bjcYLBINFodM3DarWSnJxMIBBgaGjoiuPV1dXYbDbcbjdnzpwhGo0Si8XE5x4+fBiHwyEydb/vrrvuwmq1MjAwQFtb2xXH7733XiwWC4ODg1y8eBGdTrfm0djYiMFgYGZmhrm5uTXH9Ho9DocDjUZDJBJBVVUMBsOWuPOXpBspsSdme3s7Q0NDoovArl27KC8v33TXzXXPjCmK8ipwtd1E/0pV1V/+/9f8FRAF/uNan6Oq6lPAU7A6TXkThnrDud1u2tra6O7uJhwOY7VaOXLkCHV1ddsiwpe2jtTUVI4dOybaqPz0pz9laGgIl8tFcnKymFaPxWJXPUnOz89jMpnE6zIzMwkEAtd8Paz+/fzbv/3bFc8//PDD1NTUMDs7y7PPPnvFcYfDgc1mY2lpif7+fnQ63ZrvEYlEgNWpkenp6SveH41GAQiFQlc9ngjsZmZm6OrqEkFgQm1tLQaDge7ubk6dOnXF+7/97W+j0Wh4/fXXeeedd4DVzEBSUhImk4nPfvazKIpCV1cXbrdbPJ+UlITZbKakpASA5eVltFotOp1sEyltPTqdTixe83q9oq765z//OcnJydTV1dHQ0LDlZpTWLTOmKMrjwBeAO1VVDV7PezZyzVhi7rutrY2pqSkx993Q0EBhYaG8A5Y2NVVVUVWVX/3qVzgcDvbu3cuJEyc4ffo0VquVjIwM9uzZQ25urni9oih0dnYyMTHBHXfcgclkorOzk/Hxce6+++5r1kcGg0HOnz9/RebJ6XRisViIRCIsLCxckXnSaDS3/O9MVVVisRjRaBSj0YiiKAQCARYXF6/I3O3YsQNFURgeHmZycpLl5WXC4TDhcJhoNMof//EfA3D8+HE6OzvXBHrJyck8+eSTwGpAnMjMJYI1h8Mh3t/T08PKygoWi4WUlBQsFgtJSUnyHCRtWvF4nP7+ftra2kStdX5+Pg0NDVRVVW3oWuuNXsB/L/APwCFVVWeu930bLRhTVZWJiQlaWlo4f/480WiUrKwsdu3aRW1tLSaTab2HKEkf2OWBVV9fH/fffz8mk4nFxUVCoRCZmZm0tLRw6dIljh07Rlpamsh8DQwM0NPTw4EDB7DZbJw7d46enh4+9rGPrfePteFFo1ERrK2srOByuQDo7e1lenpaHAuHwyQlJfHggw8C8NRTTzE1NbXms/Ly8vjMZz4DwEsvvUQ0GhWBWkpKCjabDbvdfmt/QEl6HxYXF+ns7KS9vX1NF4KmpiaysrLWe3hXWPdpyj/gnwAj8Mr/v1s7rarqF9ZpLO9ZNBrl3LlznD17lsnJSQwGg0idyv24pI0iFouJfj7Jycn4fD5ee+01IpEIjz766B98byAQIB6PY7VamZ6epru7m6amJnGTYbFYsFgsABQXFzMzM4PH4yEtLU1MD9rtdvR6PZcuXWLPnj2Ew2Hx9yHbXrw7nU5HSkrKFRsv79ixgx07dlzzfY8//rjIziX+9/IbQ7fbjcfjIRQKiecqKytFgPyv//qvGAwG0tPTsVqtpKenk52dvSEvdNL2Y7FYOHjwIAcOHGBkZEQsjGtpaaGgoIDm5mYqKio2XW3Zeq2mLF2P7/tB+Xw+WlpaaGtrIxQKYbfbOXbsGLW1tRiNxvUenrTNqKrK0tISqqpisVhYXl7mxRdfxOfz4fP58Pv9qKrKkSNHuO2229BoNExMTGC1Wt81EIrFYrz22mv09fVRVlbG4cOHaW9vXxMExONxFEURnxEIBJiZmeHAgQOoqorH40Gn02G326murua1117j3LlzGAwGjh07BiADsZvEaDRiNBqvWVPz+OOPA6s3lYFAgEAgIOrPVFXF5XIxPz/P6Ogo586dQ1VV9uzZw7333ks0GuVf/uVfSE9PF8Ga1WolJyeH9PT0W/YzSpKiKBQWFlJYWMg999xDe3s7LS0t/Nd//RcWi4WmpiYaGhquuJnZqNZ9NeV7sR7TlKqqMjw8zJkzZ7h48SIAFRUVNDc3y1ow6aZTVZVIJILRaERVVV566SW8Xi8+n4/5+Xmi0ShNTU3cd999xONxvvvd75KamioyGlarlby8vA80BfX222/z6quvcu+99+Lz+dDr9Rw+fJjR0VGOHz+OVqtFo9Gwb98+du7cycrKChcvXsRisVBQUACsZmMikQjp6elyEcsmEovF8Pv9aLVa0tLSCAaD/M///I/4/QsGV8t9P/ShD7F//358Ph//+Z//ueb3z263k52dLcs2pJsu0cfz7NmzDAwMoNFoqK6uprm5mZycnHW5Xm/omrH361YGY8vLy3R1dXHmzBlmZ2cxm800NDTQ1NREWlraLRmDtP309/czNTXFzMwMs7OzzM7OUlxczCOPPALAP//zP6PRaNZc7HJycsjJybkp41leXubkyZMsLy9jNptJSkrCarVSWVnJysoKoVBozWpJaXuJRCLMz89jNpuxWCzMzc3x8ssvMz8/j8/nY2VlBYCPfvSjVFdX43a7eeedd7Db7TgcDux2O+np6VdtFixJH8Ts7Cxnz56lo6ODSCRCdnY2u3fvZufOnbd0JbIMxt6nq/0HbG5uprq6Wi4llz6waDTK3NycCLZmZmZQFIWPfnS17/EPf/hDxsbGSE1NFRervLw8qqur13nkkvTeJKbRZ2dncTgcJCcn09fXxwsvvEAgEBCv0+l0fOYzn8HlcjE9PS1eb7PZNl3dj7Tx/H5ixWQyicTKrZhal8HYe5BIbZ45c4bBwUG0Wu2a1KYkvVexWEwUtM/Pz3P48GEAfvGLX3D+/HnxOpvNhsvlEsGYz+fDZDLJGkRpSwuFQuJmZHZ2lttvv52kpCR+85vfcPLkSQA0Gg02mw2Hw8FDDz2E0WgkHA5jMBhkJk16z65VcrR79+6buvWSDMauQzAYpL29nbNnz+L3+0XRX2NjI8nJyTfs+0hb28rKiqibOnfuHG+99RbT09OiSahGo+HrX/86SUlJDA0NsbS0hN1uJyMjQ07vSdJlIpGImJ6fmZlhZmYGn8/H5z//eRRF4fnnn6e7uxun04nT6cTlcpGdnY3TebX+4pJ0dX6/XyzGCwaD2O12du/eTV1d3Q2/EZbB2DUkouPE/lfRaJTCwkJ2797Njh075B2X9K6CwSBjY2PiQuF2u5mZmeHzn/88WVlZnD9/ntbWVlwuFy6XC6fTidVqldMtknQDXLp0iYGBAdxuN1NTU0QiEWw2G1/5ylcAOH36NPF4HIfDgcPhIC0tTS6ykq4pGo1y/vx5zpw5I9pU1dbWUldXd8MK/mUw9nt8Ph8dHR10dnbi8/kwGAzU1NTQ3NxMZmbmDR6ptJlFo1G8Xq8IuGZnZ9m9ezcFBQX09/fzH/+xunuXxWIRd+gNDQ1yab8k3UKqquL1egkGg+Tl5QGrPdI8Ho94jV6vp7a2lvvvvx+AgYEB0tLSsNls8sZbWmNiYoIzZ87Q09NDNBrF4XBQV1dHXV3dB2qPIYMxfrdRd0dHB0NDQwAUFRVRX19PZWWlnCKSWFpawu12k5KSQlZWFnNzc3zve9/j8r8Lq9XKXXfdRVVVFcvLy8zMzGC320lKSlrHkUuSdDXBYHDNNGdGRga7d+8mFovxv//3/yYej6PRaLDb7bhcLqqrqykrK1vvYUsbRDgc5vz583R0dDA+Po6iKJSVlVFfX/++NirftsGYqqqMj4/T0dHB+fPnWV5eJj09nfr6eurq6mT2YpuLx+O88cYbuN1u3G43i4uLADQ3N3P06FFisRgnTpwQ0xyyrkuStoZ4PC7KChKLa9xuN3v37uXAgQMsLi7ywx/+UGS7E4/U1FQ51blNzc7Oihm1QCCA2WympqaG+vr6665T3HbBWGK/qs7OTmZnZ9Hr9VRVVVFfX09BQYH8Y9pGEisZp6amxNYvVquVhx56CIDvfOc7GAwGXC4XWVlZorZLNqWUpO0nkSmbn5/ntddew+12Mzc3J45/5CMfoba2Fr/fz8jICE6nE7vdLqc5t5F4PM7AwAAdHR1cvHiRWCyG0+mkvr6empoazGbzNd+7LYKxaDRKX18fHR0d9Pf3i53c6+vrqaqqku0BtoGVlRWmpqZYXFwUvbh+8IMfMD4+DqzWjGRlZVFaWsqhQ4eA3518JUmSriYSiYjMWXl5OWlpabS3t/P8888Dq73RMjMzcTqdHDp0SO4qsY0Eg0G6u7vp6OjA7Xaj1WqpqKigvr6ekpKSK64tWzoYm5qaoqOjg+7ubkKhEBaLhbq6Ourr66+5H5u0dQwODtLT08PExAQejwdVVTEYDHzrW99CURR6enqIx+M4nU5ZqCtJ0g0Ri8WYm5sTKzkTwdqXv/xlzGYzb731Fj09PeTk5JCbm0tOTg5Wq1XOymxhbrdbxCLBYJCUlBQRiyS2oNuSwVhlZaX653/+53g8HrRaLTt27KC+vp7i4mJ5wd2CgsEgExMTjI+PMzExwR//8R9jNBp54403OH36tNgGKDc3F5fLRUpKijzxSZJ0y6iqKs45nZ2dtLe3Mzk5KbaBSk1N5YknnkBRFObm5khOTpYLf7agWCwmZukuXbqEqqrk5uZSX19PU1PTdQVjm2p/n4WFBbRaLceOHWPnzp2yxmcLicViqKqKTqdjYGCA//mf/8Hr9QKgKAqZmZksLi5iNBo5cOAAhw4dkoGXJEnr6vJzUKINQjweZ3p6mvHxcYLBoHjNf//3fzM+Po7dbheZs/z8fNlaaQvQarVUVlZSWVlJIBCgq6uLjo4OXn755ev+jE2VGdu1a5fa3t6+3sOQPiBVVfH7/YyPj4us19TUFB/+8IfZuXMnHo+HN954Q5ywsrOzMRgM6z1sSZKk9214eJjR0VGR7Q8Gg1RUVPDII48AcOrUKex2Ozk5ObIGbQtIXOesVuvWy4zJLuabk6qqzM7OAuBwOPD7/Xz3u98FVgthE5uxJ+r9srKy+JM/+ZN1G68kSdKNVlhYSGFhIbB6TvT5fESjUWB1M+sTJ06ILdTS09MpLCwU3QCkzUdRlPfUSmtTBWPS5uHxeBgeHmZkZISRkRGCwSA7d+7kj/7oj0hLS+OBBx7A5XKRmZkpg2xJkrYVRVGwWq3ia6PRyLe+9S3cbjdjY2OMjo5y8eJF8vLyKCgowOv18pvf/IaCggIKCgqw2+2yTGOLkcGY9IHFYjHcbjd+v5+qqioAnn32Waanp0lLS6OsrIz8/HxxV6goCg0NDes4YkmSpI1Fp9ORm5tLbm4u+/btQ1VV4vE4sLqx9fDwMOfOnQPAbDZTUFDAXXfdhc1mW89hSzeIDMak98XtdtPX18fo6Cijo6OsrKxgNBrFZusPPvggycnJcscDSZKk90FRFDFrUFRUxF/8xV8wPz8vZhtGRkZEL82WlhYuXbokMmdOp1POOGwyMhiT/qBoNMr4+DhDQ0McPHgQvV7P+fPn+e1vf0tmZqaoaygoKBAtRnJyctZ51JIkSVuHoijYbDZsNhu7du1ac0xVVebm5ujr6wNWm10XFhby6KOPyunMTUIGY9JVBQIBzp07x8DAACMjI6ysrIgNU3Nzc9m7dy/79u17120gJEmSpJtv9+7d7N69m0AgILJmy8vLIhD76U9/iqIoFBcXU1JSIpvRbkAyGJOA1eBrcHAQh8OBy+XC7/fz0ksvkZGRIbZ5KCgoEA0Lk5OT13nEkiRJ0uVSUlKorq4WW8PBatYsNTWVvr4+ent7gdXVmnv27GHv3r3rNVTp98hgbJtSVZXBwUEGBgYYHBzE4/EAsHfvXlwuFy6XiyeeeIK0tLR1HqkkSZL0fimKwrFjxzh69Cher1ec8xMlJaFQiJ/85CcUFRVRXFxMXl6erDdbBzIY2yZUVcXtdrO0tERpaSmw2hE6FAqRl5fHkSNHKCkpwel0AqDRaGQgJkmStEUoikJGRgYZGRk0NzeL55eWllAUhd/+9recOnVK1JsdOXJEXA+km08GY1uY2+1mcHBQ9K0JBoOkpaXx53/+5yiKwic+8QmsVqvsbi9JkrRN2e12PvOZzxAOhxkeHhYzJjrdanhw4cIFzp8/T15eHvn5+TidTllvdhPIYGyLiMfjeDweRkZG2LNnD4qicPbsWdra2rBarZSVlYk0dOIPKSsra51HLUmSJG0ESUlJ7Nixgx07dqx5PhgMMjY2xvnz5wEwmUwUFBTwR3/0RyJgkz44+S+5iS0sLHDhwgWGh4cZHh4mHA4DUFJSgsPh4Pbbb+eOO+4gJSVlnUcqSZIkbUaNjY00Njbi9/sZGRlhaGgIv98vArHjx48TDocpLCykqKgIm80mM2fvgwzGNolEH5mhoSEKCwtxOBy43W5efPFF0tPTqaysFHufJTaZlTVfkiRJ0o2QlpZGbW0ttbW1a57XarWMjo6KzJnFYqGhoYHDhw+vwyg3L0VV1fUew3VrampSW1pa1nsYt8zKygrd3d0MDw8zNDREIBAA4EMf+hD79+9nZWWFpaUl2eVekiRJWjeqquL1ehkaGmJ4eJisrCxuu+02YrEY/+f//B9ycnJE5iyRLNguFEVpVVW16Q+9TmbGNpBAICAKJ6urq1G2rsGtAAAgAElEQVQUhV//+tcYjUaKiorEL3Nig1m9Xi8DMUmSJGldXb5Ss6npd3FHKBTCbrfT29tLR0cHADabjXvuuYfy8vL1Gu6GJIOxdTY6OsrFixcZGBgQvb6Kioqorq5Gp9Px5S9/mdTUVDkHL0mSJG0qKSkpfOxjH0NVVTwej8icmUwmAAYHB3n99dcpKSmhtLSUnJwc0f9su5HB2C3m9XoZGxujrq4OgLfffpu+vj7y8/O588471/T6Aln3JUmSJG1uiqLgdDpxOp3s27dPPB+Px1EUhVOnTnHy5EmSkpIoKirigQceEAHbdiGDsZtseXmZoaEhBgYGGBgYYH5+HkDMnd977718+MMfxmg0rvNIJWlziMfjxGIxYrEY8Xhc7I+6uLhIKBQSx2KxGAAFBQUATE9Ps7S0tOaztFot+fn5wGpfvlAotOa4Xq8nNzcXgKmpKSKRCFqtVjwMBoMoFQiHwyiKIo7JbLYkvbvS0lJKS0sJhUIMDg7S39/P1NSUuB6eOnWKYDAotuPT6/XrPOKbRwZjN1ii031qairJycn09PTw/PPPo9frKSoqYu/evZSWlsoVj9KWo6oqKysrRCKRNQ+Xy4Ver8fj8TA6OnrF8bvvvhuj0UhrayttbW1Eo9E1AdVXv/pVdDodL730Eu+88w6XLzpSFIW//uu/BuD1118XdSkJRqORb33rWwCcPHlSrPhKSE1N5Wtf+xoAr732Gv39/WuO2+12vvSlLwHw4osvMjo6uuZ4dnY2n/3sZwH40Y9+JEoNEmMrKSnh4x//OAA//OEPWVxcFMFa4pxw5513AvDKK68Qj8cxGAzikZmZKYLJ8fFx9Ho9BoNhzf/KoE/a7Ewm0xV7agLMz8/T1dXF6dOn0el0FBQUUF1dza5du9ZppDePDMZugKWlJZH5GhgYYGlpiWPHjrF7924qKir45Cc/SX5+vtzvS9rwVFUlHA4TDocJhUKEQiFcLhdmsxmPx0NHR8eaY6FQiI9+9KNkZmbS1tbG8ePHr/jML33pS9jtdgYHB3n55ZfF84mA4/DhwxiNRnQ6HWazGZ1Otyb7lFBUVIRer19zTKvVoqoqiqLQ1NREWVnZFccTDh06xO7du9eM7fLjd911FwcPHlxz/PKmlkePHiUYDK4JFC/PaO/fv5+lpaU1xy9fYJOXl0cgEBDHVlZW1tTH9Pb2sri4yMrKiniuvr6egoICVFXl3//934nH42vGt3v3bo4dO0YsFuOpp57CZDJhMplISkrCZDJRWlpKcXExsViMkZGRNceNRqMM5KQN7cEHH+To0aOMjIzQ39/PwMAAIyMj7Nq1C1VVefnll8nNzaW4uHjTT2vK1hbvg6qqLC8vk5SURCgU4u///u9RVRWz2UxJSYkoRkxOTl7voUobVCQS4cyZMwwPD+NyuThy5MhNuTDGYjFUVUWn0xEMBunt7SUQCBAIBAiFQoTDYQ4cOEBhYSGDg4M8/fTTV3zGY489RllZGb29vTz77LPigp54HDlyBLvdjsfjob+/f01mx2AwkJeXh8FgYHl5mWg0isFgQKfTyUDgGi7PMGo0GsxmM6qqMjAwQCQSWZN9dDqdlJSUEIlEeO6559YEyaFQiNtuu43bb78dv9/Pd77znTXfR1EU7r33Xpqbm/H7/Rw/flz8N01JSSElJYXCwkKsVqsIArdrcbW0ccRiMbRaLQsLC/zzP/8zy8vLKIpCfn4+5eXlVFdXb6gZp+ttbSGDsesUjUYZHh6mr6+Pvr4+HA6HmH5oa2vD6XTicrnkBUZiaWmJrq4uIpEIO3bsICsrS2RvEgYHBzl9+jSNjY2Mj48TjUa55557rnjd1cTjcYLBoAiq0tLScDgcLC0t8eKLL4rnA4EA4XCYo0eP0tzcjMfj4V//9V8BRObEZDJxxx13UFpais/no729fc0xk8lEZmYmSUlJ1zU2aWNJ/DeLRqNMTEyIIC2R3SwrKyMvL4/Z2VmeffZZwuEwS0tLRCIRAB5++GFqamoYGRnhRz/6EWazWQRqycnJ7N+/H6fTyeLiIjMzMyQnJ5OSkoLZbJa/K9JNF4/HGR8fp7+/n76+PjweDx/72MeorKzE7/czPz9Pfn7+ut5EyGDsBnr99dd55513iEQi6HQ6SkpKqKysFCsipe3H6/XS2trK0tISwWCQiooKGhsbicVinDhxgvn5eaxWK2NjYzzyyCNrprNisRgvvvgi+fn51NTUEAqF+N73vseTTz75rt9zZWWF7373uwSDwTV1UwcOHOCuu+4iHA7z1FNPiYtl4oJZVlZGdnY2sViMQCBAcnKy3FNOeleJhtImkwmj0YjX66Wrq4tAIMDS0pII9h9++GHy8vLo7u7m2WefFe9XFIXk5GQ+/vGP43Q6mZycZGhoiLS0NPFISUmRmTbphvL5fCQnJ6PX6zl16hSvv/46SUlJlJWVUV5eTmlpKUlJSbd0TLLp6/ugqiozMzP09fXR39/PY489hsFgwGKxUFNTQ3l5uahbkba36elpOjs7OXr0KOnp6TgcDmD1Tq2zs1MUhb/wwgt0dnaye/dukSnQarV4PB6amppQVVVkoGZnZ7Hb7df8njqdjsrKyjXZiZSUFNEEOCkpia9+9avXfL9Wq91Q6Xtp4/r9htI2m+1dt7cpKSnhU5/6lAjSEgFbolRjeHiYV199dc17FEXhiSeeIDU1lYsXLzI2NkZaWhqpqakiYEtKSpIZNum6Xf4729zcTEZGhpjN6u7uRq/X841vfAOdTkckEsFgMKzjaNeSwRirKzbeeecdLl68iM/nA8DlcrGwsIDdbr+i6FeSUlNTKSkpuWL1z9zcHDk5OYRCIUwmE+Xl5Vy6dIlQKITZbCYej6PRaFAUhaWlJXGhMZvN+P3+dw3GFEXhvvvuu6k/lyS9H2azWaz6vJr9+/eLzab9fj8LCwsiiwEwMTHB22+/fcUChf/1v/4XWq2Ws2fPMjU1hdVqxWazYbPZsFqttzzLIW0eRqORqqoqqqqqxHTm7OysmBV4+umnCYfDVFRUUF5eTm5u7rpmardlMBYKhbh06RIZGRnk5OQQiURoaWmhuLiYAwcOUF5evu32z5LeG71ez+TkJD/5yU8wGo00NzeTl5dHNBrFaDQSDAbFqjVVVQkGg6IQG1bv4Obn50UxqsFgYHFxEUDWZklbktFoJDMzk8zMzCuOHTlyhDvuuINAIMDCwgJ+v5+lpSWx2tXr9dLX17emT1xKSgp/+Zd/CcDp06cJh8MiULPZbJhMJvl3JAGrC0/y8/NFT0FVVdm5cycXL17k7bff5s0338RsNnPw4ME1TWlvpW0TjC0tLdHb28uFCxcYGhoiHo+ze/ducnJyyMzM5Bvf+MaGSllKG1tqaipNTU0kJSWh1+t59dVXOXjwINnZ2QAsLCyQkZGBoijo9Xqi0Sjwu1YKRUVFjI+PU1ZWRmpqKikpKXL6W9rWFEXBYrFgsVjIyclZc+yee+7hnnvuIRKJMD8/j9frXdMCJNH24HKFhYU8/vjjAJw5cwadTicCNYvFIgO1bUxRFPbs2cOePXsIh8NiAUCiPcbS0hLHjx9nx44dVFRU3JIM7JYOxpaXlzEajaiqyve//318Ph9Wq5W9e/dSWVkp/uAVRZGB2DYUiUSYm5tjdnaWmZkZZmdnuf3229dsR/X7wuEwc3Nz6HQ69uzZI54fGxtjeHiYsrIy9Ho9o6OjFBUVia7wienHcDiMwWCgurqaYDDIc889x/LyMnl5eVRVVQHIi4QkXYPBYCArK4usrKw1z3/iE58gGo3i8/nwer14vd41F9ATJ04QDAbF1zqdjoaGBo4ePQrAxYsXsVqtWK1WeVO0zSQlJbFz50527twpnvN6vUxMTNDb24tGo6G4uJjKykqqq6tv2m45WyoYi8VijI2NcenSJQYGBggEAvzFX/wFGo2GY8eOYbFYyMrKkhe7bWR5eVmcnL1eL0VFReTm5jI+Ps4PfvAD8TpFUbDZbGtO2L8vHA7zyiuvMDExQVNT05oLgl6vF/WGxcXFtLW18cYbb+B2uykuLkan0zEzM8P58+epqqoiMzOThoYGHA4HRqNR/l5K0gek0+mw2+1Xrbv8y7/8S/x+/5pzQeKma3l5mZ/+9KfitampqdhsNpqamqiuriYWizE7O4vNZpOB2jaRl5fH1772NSYmJujp6eHChQu88MILFBcXYzQamZycJB6Pk52dfcPqzLZMa4u2tjZeeukl0SgxPz+f0tJSmpub5R/QFnd5wJWWlkZubi5LS0v8y7/8yxV7EX7oQx9i//79hEIhWlpasNlsOBwObDbbe2730NnZydjYGAsLC2i1Wu6++26sViuqqjI6OkpPTw95eXmUlZXJvUclaYOKx+NMT08zMzOzJlhrbGykvr6e2dlZvve97wFgsVjIyMjAarXS2NhITk6O2FFBzq5sXYlOC4l6x5///OdcuHABk8kkmryXlJSQkpJyxXu3bJ+x06dPi+xXf38/Dz74ILm5uQwPD9Pd3U1ZWRlFRUXy4rcFBYNBlpeXRcDzk5/8BI/HIwrfARoaGnjggQdQVZUXXnhhTUGvzWa7YSfMSCQisq+Ju3GLxXJDPluSpI0jUVN0eaDm9Xp54IEHqKioYGBggB//+Mei+bLD4cBut1NRUSF3YdmigsGg2Ni8v7+fpaUlsrKy+MIXvgAgMqn/f+X81usz5vV6+bu/+zuxp1tBQYFYCl1YWEhhYeH6DlC6odrb25mYmBA1XcFgkNLSUj7+8Y+jKAo6nY6ioiLsdjsZGRnijhVWpx0ffPDBmzY2g8FAZWXlTft8SZI2hkRN0e9LJDKsViuHDx8W56nh4WGi0Sgul4vk5GR6enpoaWnBbreLYM3hcMhdCjYxs9ks6sxUVcXtdhMOh4HV3XqeeuoptFotJSUl1/2ZmyoYi8Vi1NXVUVpaSlFRkUwLb3J+vx+Px7OmgF6j0fDpT38aWJ0G9Hg8OBwOKioqcDgcYrUiwJ/8yZ+s19AlSdrmEoGUzWbj0KFD4vl4PI7P5xMNllVVJRKJ0NnZKbaZAnjyySdJTk7m0qVLzM3NiYxaamqqDNI2EUVRcLlca75+6KGH6O/vZ3Z29vo/Z7NNU26EjcKl9yYcDuPxeHC73Xi9Xu69914UReHZZ5+lu7sbgOTkZBwOB06nk3vuuQdYnQrU6/XyxCRJ0qanqqrYw3Nubk7syvH888/T3t4uXmcwGMjOzuaTn/wkiqLg8/kwm80y+bBJbdmaMRmMbVyqquL1eklPT0er1dLe3s6JEyfw+/3iNSaTia985SuYTCbcbjeRSASHwyH6u0iSJG03S0tLYnZgenqalZUVHnroIQD+/d//ndHRUaxWK06nk6ysLPLy8iguLl7nUUvXY0vWjEkby8LCAr29vXg8HjwejziJfPaznyU7O5vk5GTy8vJEGwin00lKSorIdL1bPy9JkqTtIjk5meTk5KvWPd92221MTEwwPT2N2+3mwoULlJWViWDsmWeewWQyif5rmZmZMou2CclgTHpXidT65OQkbrcbj8dDc3MzRUVFzM7O8utf/5qkpCScTicNDQ1kZWWJWony8nLKy8vX+SeQJEnavEpLSyktLRVfRyIRUSwej8dZWFigr69vTT3awYMHufPOO1FVlf7+fnFzLG1cMhiT1ggEAsTjcVJTU/H7/Xz/+98nEAgAv2uMGgqFgNXGeE888YQsOJUkSbpFDAaDyHwlFjypqorP5xO1uYndZbxeLz/5yU8ASEtLIzs7G5fLRVVVFRkZGev2M0hXksHYNqaqKgMDA0xOTjI1NcXk5CQLCws0NTVx3333YbFYKC0txel0kp2djdPpXNNAV6/XiyyYJEmStD4URRHbOe3YsUM8n5aWxqc+9SkmJyfF48KFC6Id0OTkJG+++SbZ2dkiULsV+zBKV5LB2DYRCoVEwKXRaNi/fz+KonD8+HH8fj8ZGRkUFBTgcrlE3YJGoxFFpJIkSdLmotPpKCgooKCgQDwXDofRarXA6kzI5OQkPT094rjNZuOxxx4jIyODYDCIVquVTdRvARmMbUHxeFzsl/Wb3/yGc+fO4fV6xfGCggL2798PwGOPPUZqaqq8G5IkSdoGLj/XJ+p6g8GguFmfnJwkNTUVgLfeeos333wTu91OdnY2OTk55Obm4nK5ZGnKDSaDsS1gYWGBsbExxsfHGR8fZ3Z2lq9//etoNBo0Gg1ZWVns2rVLpKEvbyOR2GtLkiRJ2p7MZjMlJSVXdIzfsWMHer2eyclJBgcH6erqIikpiW984xsA9PT0oNFoyMvLkwsEPiAZjG0ysViMqakpsXz5rbfe4pVXXgFWU9LZ2dk0NDSwsrKC0Whc0xlakiRJkq5Xbm4uubm54mu/38/8/LzIip08eRKPxwOsbguVm5tLWVkZNTU16zLezUwGYxvc8vIyg4ODIvM1OTlJLBbjE5/4BCUlJRQXF3PvvfeSm5uL0+kUtQCSJEmSdCOlpaWtWbT1Z3/2Z0xNTTE+Ps7Y2BhDQ0MoikJNTQ2qqvLzn/8cu91Obm4ueXl5mM3mdRz9xiaDsQ0kHo/jdrsZGxvD5XKRn5+P1+vl5z//OVqtluzsbJqbm8nNzRV7NDqdTtk8VdowVFV911qSP3RckqTNQ6/Xk5+fT35+PrD69x2NRoHVRILf7+fixYtiU/XEPp61tbXiOXk+WCWDsXUWi8V46623GBkZYWxsTDTuO3jwIPn5+WRlZfFnf/ZnOJ1OdDr5n0u6teLxOIFAgGAwSDQaJRQKYTKZyM3NZW5ujvPnzxOPx1lcXKSwsFDcESuKIv53ZmaGV155hcnJSSorK7njjjvkHbIkbUGKooj2R0lJSXzuc59jZWWFyclJMbuTWEAwNTXF008/TUFBAfn5+WI1f2Lx2XYjr+63UDgcZmJigrGxMXQ6HQcPHkSj0dDS0oLRaKS2tpaCggLy8vJEKlij0ayZs5ekW8nv9/Pmm28yMzOD2WxmeHiY7Oxs/vRP/5TR0VFOnz7N4cOHMRgMpKenA7+701UUhWg0Sk9PD1lZWTz22GO88cYbvP7669x///0ySyZJ24Ber7+ivQas1jhXVlYyMjLCxYsXgdWGtp/61KdwuVyEQiG0Wu222dpJBmM3yeUXmhMnTnDu3DlmZ2eB1YtUWVmZ+P9f/vKX1zRTlaSNwmq1cv/994uvT548KX5XjUYjpaWlNDc3i+O/H2DNz8+zsLBAXV0dANnZ2Zw9exa49vREJBJhbGyMeDxOLBYjHo8Tj8fJycnBarUSCATo6ekRzydeU1VVhcPhYHZ2lpaWFnE8obm5mczMTKampmhtbb3i++7fvx+bzcb4+DgdHR1XHL/99ttJTU1ldHSU3t5etFqtWLGs1WppbGzEZDLhdruZmJgQzydeU15ejk6nw+v1srCwgFarRa/Xo9fr0el0YicLGaRK20FmZiYPPvggAIuLi4yMjDAyMiJ2Bjh9+jSnTp0iMzOTnJwc0VbD4XBsyb8PGYzdIAsLC6K1xMTEBF6vl6997WtoNBqi0Sg2m42amhpR73V5rxcZiEkbWaJv3djYGMPDwzzwwAPAajDW39/Pb37zG3Q6HXV1daI/USKgiMVihMNh8XxKSgo6nY5AIEBKSspVv5/P5+PHP/7xFc8/8MADWK1WfD4fv/71r684brfbcTgcLC4u0tHRgUajQVEUceKurq4GVk/8vb29V7x/165dwGo28GrH9+zZA8D09DRnz569ItjbuXMnJpOJS5cu8frrr1/x/q9//evodDra29v57W9/e8Xxv/qrv0Kn0/Hiiy/S2toqgjS9Xo/RaOTzn/88AG+//Tajo6NrjptMJg4fPgzA6OgowWAQo9EoHklJSbL1gLRhWSwWdu7cyc6dO8VziX2NJyYm6Onpoa2tDYPBwDe/+U0URaG3txdFUcjJybnmuWQzkcHY+xCPx/F4PNjtdvR6PadOnRInX61Wi8vlorq6mmg0isFg4M4771znEUvbUTweZ3l5mWAwSCgUIhQKYbVasdvt7+lzEjUcgUCA5eVlrFYrAA6Hg/r6esxmM36/n1dffZX7779/zbSCTqcjFouJYt3E1+92Z2u1Wvn0pz99ReYpccJ1uVw8+eSTa44lAi+AoqIivvWtb13z88vLy3nyySeveby6uloEblfT1NREU1MTsBp0qqpKLBYTNZ179uyhrq7uisxd4gassbGR4uJiYrEYKysrRKNRVlZWxEro4uJidDqdeD4ajYp/P1jdTcPr9a55r9FoFMHYm2++SV9f3xX/pl/96lcB+NnPfsbU1BRGoxGDwYDRaCQzM5O7774bgLa2NlZWVjCZTJjNZkwmEykpKXLrM+mWSmTDYPXvbG5uDp/PJ85HJ0+eZGpqCoD09HTy8/MpKytbE9BtJjIYuw4rKyuMj48zOjrK2NiYKLT/5Cc/SVFREaWlpRgMBnJzc8nKypKF9tINF4lEWFpaQqPRkJaWhqqqnDlzRgRZiUdFRQVNTU2EQiH+7u/+7orPOXTokLhovxtVVYlEIsRiMcxmM8vLy0xNTYnpdVVVSU1NFRfwYDDISy+9xMDAAJWVlSIzlsjK+P1+rFYrGo2GxcXFd83SJFZoXYtWq90wWZ5E5u3youPLN3K+mvT0dFFfdzUVFRVUVFRc8/iRI0c4cuTINY/fd999HD58mOXlZSKRCMvLy2vGl5eXh9FoFMfC4TCBQEAcP336NDMzM2s+s7i4mD/90z8F4N/+7d9YXl7GZDKJR35+Po2NjQD09vaKbJ3ZbCY5OVlm/6UPRFEU7Hb7mhvJT3/606Ktxvj4OAMDA8TjcRGM/fKXv8Rut5Ofn4/L5drw1+WNPbp1srS0xNjYGFarlaysLDweD//3//5fYHWeu7a2Vqx0hNU7dZfLtZ5Dljah5eVlAoEAgUCApaUlMXVXVVUFwNNPP43X62VpaYmVlRUA6urq+PCHPwzAK6+8QiwWw2g0igtfYll5UlISt99+u7hYJjIc7xYEJKiqysmTJzl37hw2m41HH32USCTC8PCwqPH4/cxWUlISy8vLIruTuPibzWZycnJob2+nsLAQj8eDxWIR32cr1n6st9TUVDEtfDWJrdCu5Qtf+MIVQf7lwWVBQQELCwuEQiECgQAzMzNrgq1nnnlG/B4mNDU1cd9996GqKr/4xS9EkJaSkkJycjJZWVnYbDb5OyFdt6u11UicJ8PhMGNjY6L2U6vVkpOTw759+9ZspL6RKJenvze6pqYmtaWl5YZ/bjwep6uri9HRUUZHR5mbmwNg79693HPPPcRiMQYHB8nNzV2zlZAk/b7LLyaDg4PMzs6uCbgsFosoiP/e974nFnUkXJ6B+O///m/i8fiai5bD4RCp+2AwSFJS0i1ZCj42NsYzzzzDE088IX5Gn89HW1sbGo2GhYUFVFUVP1tXVxd6vZ6dO3cSDoc5fvw4ExMTWCwWHn744esKCqXNR1VVZmdnCYVCYno8EAjgdDopKytjeXmZH/zgBwQCAUKhkHhfImMbCAT4x3/8xzW/88nJyWKl+crKCtPT06SmppKcnLxt2yBI1yeRWElc2/ft20d1dTVut5vnnnuOvLw80VbjZk3DK4rSqqpq0x963bbLjCXqvYaHh9FqtTQ3N6MoCq+++irxeJy8vDx27dolUpuwGlUnpmek7SsajbK0tCT+aHt6ehgdHWVhYUE8jEYjX/rSl4DV2p3BwUEURcFsNouLS8KhQ4eIxWLi+ZSUlDX9txIZsGu5Vb26VFVlfn6e3bt3A7/LiiWyYHq9nuzsbEpKSsRzJSUlYlogKSmJj3zkI1dM50lbj6IoOByOax43Go188YtfBFZ7LAaDQQKBgPhdVhSFxsZGkSmen59nbGyM3NxcCgoKmJmZ4fvf/z6wmn21WCxYLBaOHDlCUVGRWJWXyA5aLBa5K8k2lpyczI4dO67IhsXjcSwWC93d3WJldWpqKo8++ihOp5NoNIpWq72lWdptkxnr7OzkwoULjIyMEA6HASgsLOTxxx8HVldDWiwWmSLfpmKxGH6/H5/PR1FREYqi0NnZSU9Pjwi0gsEgOp2Ob3/72yiKwi9/+UsuXLiAxWIRJ3+r1crtt98OrK7K0+l0mEwmGYRI0g0QCoXW3AAtLi6ysLDA4cOHyc/Pp7e3l5/97Gdr3pOcnMwjjzxCbm4ubrebS5cukZqaSlpaGunp6aSmpsq/z20qHo8zPT0tMmf3338/SUlJnDhxgjNnzlBYWCgedrv9fcUH15sZ23LBmKqqTE9PMzw8zOTkJB/+8IdRFIXnn3+ekZERCgoKxD/uu9VVSFtLPB5nYWGB+fl5cnNz0ev19PT08M477+Dz+VhcXBQr1r7+9a9jNpt58803OXfunLjDTgRctbW1aDQaYrGYvOuWpA1kZWVF9La7/HH77beTnp5OS0sLv/rVr9a8R6PR8MUvfpGMjAyGhoYYHR0ViyysVispKSkyWNtm+vv76e7uZnh4mIWFBWB14c1Xv/pVFEUhFAqRlJR0XcHZtpumHB0d5Z133mF4eJhgMAis/uMFAgEsFgv33XefvHBuYYkteXw+Hw6HQ3SLP3HihDg5J4Ktz33uc7hcLvF1UVGRuEtOT08XxcoHDhzgwIED1/ye8vdJkjYWvV5PZmYmmZmZVz3e1NREbW0ti4uLIhM+Pz8vbsxHRkY4ceLEmvdoNBq++c1vYjAYuHDhAjMzM1itVnG+SElJkTMqW0xpaSmlpaWiRGN4eJilpSXx3/npp58mEAisyZxZrdYP9Huw6YKxRL+R4eFhhoeH2bdvHzk5OYRCISYmJigrKxP/OJcXCcsL5+YXj8fx+XwkJSVhNpuZnp7m5Zdfxuv14vf7RQPORx55hIqKCtF0ND8/X5w409PTsdlswB/uJyVJ0tZjMBjIyMgQnd4vd/jwYQ4ePIjf72d+fh6fz2hBFroAACAASURBVEcgEBA3aJcuXaK9vX3Ne5KTk0Xfuq6uLsLhMBkZGdhsNtLS0mRWbRNTFAWbzSauGQlNTU0MDQ0xODhId3c3APX19Tz00EPAaonKe10QsKmmKUtKStQvfvGLoieOxWLh2LFj7NixQ+4Av0XE43HRLDcUCnHixAm8Xq9o+BePxzl69CjNzc3Mzc3xzDPPYLPZ1typZmdny1WvkiTdFCsrK/h8PvGIRqPs27cPgB/96EeMjIyI12q1WkpKSnj00UcBuHjxInq9noyMDLH9lbR5JZJDQ0NDpKenU1ZWxuLiIv/wD/9AWloahYWFfOQjH9l605QrKysUFRVRUFBAUVHRmrSg/KXefOLxOK2trXi9XhFwzc/Ps3fvXj70oQ+h1Wppa2vDZrPhdDqpqqrCZrOJDWczMjL43Oc+t84/hSRJ24ler8fhcFx11ejjjz9OIBBgbm5OnNMuvzH81a9+xeLiIrC6G4XVaqW6uppDhw4BMD4+LmpU5TVt47taM1qdTsfRo0cZHh7G7XZf/2dtpszYzeozJt08Xq+X6elpZmZmmJ2dZWZmBpfLJfY3/Nu//Vuxd2fiUVJSQnFxMSAbg0qStHX4/X4RpCVuQnNycrjtttuIxWL8zd/8DaqqYjAYRMBXVVVFWVmZnP3ZpLZdAb+0fqLRKHNzcyLYAsSWOz/72c+Ynp4GVvu4OByONXcRX/7ylzGbzdc8wcgTjyRJW0VaWhppaWkUFRVd9fjHP/5xcS6dnZ2lv78fu91OWVkZCwsL/NM//RN2u12cRxPb/WyFjbK3OxmMSdctEokwOzuL3++nsrISgOeff56Ojo41Gxnn5uaKYOzo0aPo9XrsdjtGo/GKz9woewxKkiStp0R9WUlJyZrnE+dWjUZDU1MTs7OzjI6OisLxhx9+mJqaGtxuNydPnhSBmsPhICMjQ+4LuknIYEy6wuXp8N7eXjo6OvB4PPh8PvH8t7/9bXQ6HQUFBVgslmv+8RcWFq7HjyBJkrQlJGYHLBYL99xzj3g+cXOc6BoQDAbxeDz09vauuTn+zGc+Q15ensi2ZWVlkZ6eLmcdNhgZjG1zy8vLuN1uPB6PeExPT/PFL36R9PR0/H4/c3Nz5OTkUF9fT2ZmJg6HQ7QKqaurW+efQJIkafsxGAxkZ2eLr4uLi/nKV76ypmxkenpaLDQ4f/48b7zxhnhvVlYWWVlZ3HXXXRiNRlmfu85kAf82sby8LGq6ZmZmqKurIzMzk/Pnz/OLX/wCAJPJJP5A9+3bd9M2TpUkSZJurUgkwvT09Job7/n5eZ544gk0Gg3Hjx9ncHBQ3HAnHok9mqX3Z1MU8CuK8iTw94BDVdXZ9RzLVrGyssLMzAwmkwmr1crMzAw//vGPxZYOsFqb4HK5yMzMpLCwkMceewyn0yk7SUuSJG1RBoPh/7F35uFVnPe9/8zZ93Oks2hHSCAQSIgdZAwYsDE2eKm3NCa1kxTHSXxv2iZ1nTRu+1fb57a9ebI0ce+ts9RN8jh2zXXAS3y9YIyxCRixI8wmFqH16Gg5+z73D915o0GA7cQ2CN7P88wjad6ZOTNHM/N+39/v9/5+VFdXU11dLdaNtYbV1NSQSqXo6+vj2LFjqKpKSUkJf/ZnfwbA1q1byeVyYsAeCARkMvWPkcsmxhRFqQFWA2cv1zlcDeTzed59910x0hkcHERVVZYtW8aqVatwu92iyKk20ikpKRFZoZ1OJw0NDZf5KiQSiUTyaTN28D179mwRdlIoFBgcHCSVSon27u5uOjo6KBQKwOiEglmzZvFHf/RHwGgpqZKSEpkj7ffkclrGvgs8Bmy6jOcwIUin0zrzcn9/PxUVFdx6660YjUbeffddHA4HZWVlNDU1UVZWRlVVFQA2m4277rrrMl+BRCKRSCYKRqNxXFLb9evXC5Gm9UVaKEuxWOTnP/85hUIBm81GWVkZoVCIxsZGkTNScmkuixhTFOUOoEtV1f0fpKAVRXkYeBhg0qRJn8LZXT6KxSKRSIS+vj5yuRxz584F4Mc//jGRSARA3OjaQ6AoCo8++igmk5yLIZF8FIaHh3nhhRc4e/Ysy5cvZ+nSpWJE393dzUsvvUQ6nWbBggW0traiKAqZTIbnn3+eoaEhqqqquO222y5Ye/DIkSPs3LlTlO+ScTeSqwFNpAWDQZqbm3VtDzzwgDAW9PX1sX//flwuF/X19SQSCX7yk58Ikaa5OktLS6UV7f/zifXgiqK8DpRfoOlx4NvAzR/mOKqq/jvw7zAawP+xneBlplgsipf4zp07OXTokBBhMJocUBNjN954IyaTibKysguagKUQk0g+OhaLhVWrVvH+++8D+viZTZs2sW7dOkKhEE899RRTpkwhFAqxZcsWJk2axNq1a9myZQsHDx6kpaVF90wmk0m2b9/OzTffTC6X4+WXX+YLX/iCjK+RXLUYDAZqa2tFqToYfZ40l2Yul6OiooK+vj6OHj0qUm/ceeedzJkzh2g0yqlTp6ioqCAQCFyTxdU/sV5cVdWbLrReUZRZQB2gWcWqgT2KoixSVfXDF3KaQORyOfr6+ujp6aG3t5eenh4ikQiPPfYYRqORRCKB0Whk3rx5lJeXU15erstSryVYlUgkHx8OhwOHw0FHR4dOTPX19eFwOKiqqsJoNDJjxgyOHTtGKBSivb2dr371qzgcDubOncuOHTtobm7WCa3333+fmpoa0TFt27aNvr4+XRoCieRqR1EUYSjw+Xzcd999wO8mmfX29opKBB0dHWzaNBqxZDKZRD+4bNkyPB7P5bmAT5lP3aSiqupBIKT9rSjKaWDB1TKbUsvb1dPTQ0tLCw6Hg507d/LGG28Ao+kjKioqWLBgAblcDqPRyKpVqy7zWUskvx+qqpLL5cjn8zqrLkBPTw/JZFK05/N5bDYbjY2NALz33nsMDw+Ltnw+j9/vZ/ny5QD8+te/JhqNUiwWKRaLFAoFJk2aJBJf/vjHPyaRSIj2YrHIvHnzuPHGGz/yNRgMBiHIhoeHdUkxS0tLOXPmDOl0GrPZLCpJ+P1+kQh5LOFwmPLycmH9DgQCDA8PX1KMnT17lmPHjmEymXTLrFmzsFqtDA4OMjQ0JNabzWZMJhM+nw+DwUCxWERRFOnykVzxmM1mKisrdc9DS0sLlZWV9PT0CKPFgQMHRAH1HTt2cODAASoqKsRSVlZ2VVUXkP6tj4H+/n62bdtGT08Pg4ODYn0wGGTKlCnMmDEDv99PRUUFXq9XvjAll42xrrhoNEo0GiWbzYqlUCgI9/i+ffvo7OwUbZlMBovFwvr16wF49tlnOXLkiO74fr+f//7f/zsAr7zyCmfP6idLV1RUCDG2d+9e+vv7deJiLLlcjkKhgMFgECLIZrOJ9vLycnK5HAaDQSzl5ReKjPhoaMLmQuvHWsAURblgoszzhZHRaKRYLF7yM3t7e/ntb38r3Doa06ZNw2q1cvDgQZGwcyzf/OY3sdlsvPHGG+zYsQOLxSIWq9XKhg0bMBgM4n85ts1qtTJ//nxgVEBms1nRZrPZMJvN8l0l+VQwGAyEQiFCoZCY0Tn22XK5XDidTt5//3327t0LjFrQvvWtb2E0Gjl9+jQGg4GKiooJK9AuuxhTVXXy5T6HD0OhUKCvr4+uri66u7vp6upiyZIlzJkzB4Bz585RUVHB7NmzqaiooLy8HLfbDYx2UH6//3KevuQqJJlMMjQ0RDqdJp1Ok0qlSKfTtLa2YjKZ2L9/PwcPHhTrteXxxx/HYDDw9ttvc34SZYPBIMRYV1cXx44dEx201pFrTJs2jWAwiNlsxmKxYDKZsNvtov3WW28ll8vpLD1j9//Sl750yc5ec2tcjNtuu+0jfV8Ae/bsYffu3RSLRdavX4/H4+H8xNdut5t4PC7OLZFI4HQ6cTgcJJNJ3Xq73S7+1joPu91OJpMRfyeTSd33ciEWLVrEokWLUFVVZynUarfOnTuXuro6XVs+nxffZ319PUajkUwmQzabJZfLCaEKo2Lr6NGjog1GJwNpYmzr1q20t7frzsnj8fD1r38dgFdffZX+/n5sNhs2mw273Y7P5xP79/T0oKqqaLNarddk3I/k42Psu2HWrFnMmjULVVWJRqP09PQQi8XE4OjNN9/k7NmzKIpCWVkZlZWV1NXVjZtkcCVz2cXYlYiqqgwODlIsFgkGg6TTaf7n//yfYtSqxZM4HA4AQqEQf/EXf3E5T1kyQVFVlVQqRTKZJJlMkkgkmDx5Mna7nTNnztDW1ibWJ5NJ0uk0Dz/8MH6/n3379vHaa6+NO+asWbPwer1ks1nS6TQOh4PS0lLRkWruswULFjBt2jSdtcRisQgRsW7dOtatW3fRc9cGIhfjg6xUl8PqMm/ePObNm6cbdRsMBoxGo/i7srKS/v5+kskkTqeT/fv3i++hoqKCU6dOMWXKFA4ePEh9fb3YT/s5depU/u///b9CXJ07d47bb7/9Q52foiiYzeZxo3uPx3PJ2JkLFZgey+rVq1m9ejUwarnTxJrG8uXLmT17trCAplKpcRMO0um0TvyXlZUJMfbCCy/Q09Oj276+vp4HHngAgBdffJFcLofD4RDCNhAIiBnymtVVWuIkl0JRFLxe77jqMPfddx9dXV3CWNLe3k4sFhNi7Pnnn8fpdFJVVUVVVdUV6aGS5ZD+PydOnKCzs1P8Q9PpNDNmzOAzn/kMAG+99RaBQOCK/UdKrgzGFllPJBKcOnVKCCltuf7666msrOTo0aM888wz4ywzn//855k8eTLt7e289tprovNyOBzYbDauv/563G63qD9nt9uF0JLupQ9PIpHgySefJJVKoSgKVquVRx55BKvVSnt7O2+++SaqqjJ9+nRuuukmFEWhr6+PzZs3UygUcLvd3H333djtdk6cOEFvby9Lly5FVVVefvllYS2aNWsWra2tl/tyP1a0mXKaa7mrq4t4PK6zwrrdbiHWfvnLXxIOh0UMIcDMmTOF9fOf//mfyWQy4j53OBw0NjayePFiAHbv3o3dbsflcuFyuXC73Torq0QyFlVVyWQy2Gw2CoUC//Ef/0FPT48wqDidTpYuXUprayuqqpJOpz/Qev378mHLIV1zYiyfz9Pd3c25c+fIZDKsXLkSgCeffJKenh5CoZBQzzU1NeMS30muTVRVJZlMEo/HsdvteDwe4vE4b7/9NvF4nFgsRjweJx6Ps3btWubMmUNnZyc//elPxTHsdjtOp5NbbrmFKVOmEIlE2LdvnxBb2k+/3y87mk8J7eWsqiqqquosUul0GlVVsVgsOitRIpEgn89jNpuFdTyTyZDL5XC5XGLfoaEhYNRyLtNa/I5cLkcymQR+N9njt7/9LYlEQjdwaWhoYNmyZeRyOf7xH/9x3HGWLl3KjTfeSDabZfPmzTqh5nK5CIVCIlREIhkbatTV1UVDQwNNTU1EIhF++MMfUlpaSlVVFZWVldTU1FBeXv6xPLdSjJ3Hnj172Lt3L93d3SKYNhgM8tWvfhVFURgaGsLpdMpO8Bokk8kwMjJCNBplZGQEv9/P5MmTSafT/PznPxciS7tvVq5cyfLly4lGozzxxBO6DsDlctHU1ER1dTW5XE7cV3a7XcbQSCS/B6qqCqGmPYvxeJyqqiomT55MNBrlqaeeIh6Pk81mxX5r1qyhtbWVgYEBfvGLX4x7TmfMmEEoFKJQKFAoFOS7/xolHo+zb98+IdJisRgw6vqcOXMmw8PD9PX1UVNTIwZfH4UJUSj846ZYLNLf309nZyednZ2cO3eOL33pS9jtdtLpNAaDgeuuu46amhqqq6tFcCxASUnJZTxzySdFLpcTIkv7WVJSQktLC6qq8i//8i+6+msA8+fPZ/LkyVgsFhwOB6FQSDfq1mKhPB4P3/rWty762WazmVAodNF2iUTywSiKIp6/srKyce0ej4evfe1rAGSzWWGl9vl8wO8SksbjcSKRCGfOnCGVSonZe2fOnOHnP/85NpsNr9cr4vNaW1sJBAKkUilSqRQej0cm2L4KcblcLF26VPwdjUY5d+4ckydPBkarabz66qvA6GQ8TT/MmjXrYxXwE9oypgksi8XC+++/z/PPPy9GRi6Xi0mTJrF69WrxUEquPmKxGENDQ4yMjAjB5XQ6RX6a733ve4yMjOj2aW5u5p577gFgy5YtWK1W8RL2er24XC7pVpJIrmLy+TyKomA0GhkcHKS9vV28P7RB2+c+9zmqqqrYu3cvmzdvBkZjjbR3xS233ILX62VoaIh4PE5JSQlOp1PGa15l5HI5uru7hYGns7OTVCrFt771LSwWC/v372dkZISamhqqqqrGCbSr0jKWz+dFvpxz587R39/PXXfdRUtLC4FAgNmzZ1NTU0NNTY0Msr9KSKfTDA4OMjw8zNDQkEiyqc1ue/bZZzl37pzY3maziazOACtWrEBRFCG0zh/dyoS7Esm1x9h3QGlpqc4ycj6TJ0/mjjvu0FnYI5GIGLAdOHBA5IAzm834fD58Ph/33HMPVquVSCRCLpejpKREJAyWTBzMZrOu1JOqqoyMjAjRdfr0afbt2weMWnHLy8uZMmXKR04+PaEsY5WVleqXv/xlrFarEF0zZsyQQfYTmFwux/DwsBBbQ0NDJJNJ7rrrLgCee+45Dh8+LLa32WyUl5fz+c9/Hhgto1EsFoXQki87iUTyaTIyMkJfX59uwBiNRnnooYdQFIXNmzeLRKV2u52SkhL8fj933XUXiqIQDocxGAz4fD5pkZ+gpFIpYTU7d+4cNptNZGK4KgP4m5qa1DfffJNgMCitXhOIbDbL4OAgkUiESCTC4OAg69atw2w28+qrr7Jjxw6xrVbi5ctf/jImk4kzZ86QTCYpKSnB5/PpMrBLJBLJlc7AwAD9/f1isDk8PEyxWOTBBx8E4Be/+AUnT54ERuPfSkpKqK6u5qabRss7j4yM4HA4Jmxm+Wudq9JNabfbZUD0FYiqqsTjcfGyGRoaYv78+bjdbtra2njxxRd122sZzktKSmhubqa8vFyILZfLpRPammlYIpFIJiKBQIBAIHDR9lWrVtHc3DzOQ6Ch5WjThFpJSQmTJ08WZYNSqRQ2m00aKCY4E0qMSS4fWpoGbZk6dSqBQICTJ0/yq1/9inw+r9u+trYWt9tNVVUVq1atorS0FL/fT2lpqS7A8fyCsRKJRHIt8UHvwBUrVhAOh8W79+TJkxSLRWbPno2qqnzve99DVVUh1EpKSpgyZQpTp04FRvNrSffnlY8UYxJBoVBgeHiYwcFBfD4fwWCQgYEBfv7znxONRnXbWiwWAoEApaWlLFy4UPci8Hq9IkC2vLz8YyneLJFIJNciM2fOHLdOCy9SVZVVq1YJ9+fQ0BAdHR2YTCamTp1KOp3mn//5n/F6vaJGst/vp76+/pLWOsmnjxRj1xiqqhKLxSgWi/h8PrLZLBs3biQSiTA0NCQSmy5fvpyVK1ficrmYPHkypaWlYikpKRGlI0pKSrj55psv5yVJJBLJNcXYuqpaySgNrVSV9vuyZctEzG5nZyfZbJa1a9cSCAQYGBjg2WefFV4LTayVl5fLyVCfMlKMXaWMNU1v3bqVcDgsgudzuRxz5szhzjvvxGw2k0gkCIVCzJgxQzyM2qjJZrOJmY0SiUQiubJRFEV4Jux2uyj5B7+rZqC1F4tFSktLiUQiHD9+XIi4+++/n2nTptHZ2cmuXbuEUNPi32S1go8fKcauAs6dO0dvby/hcJhwOMzAwADBYJAHHngAgPb2dgqFAn6/n7q6Ovx+v4hRUBSFhx566HKevkQikUg+BbRqBhqhUIjPfvazwKgwGxkZYXBwkIqKCmC0Duu5c+c4fPgwYzMvfOUrX6GsrIyuri76+voIBAIEg8FPrNj2tYAUYxMAzbWoia1wOEwul+Puu+8GRrPInzp1SsRx1dfXU11dLfbX6m9KJJLfMTw8zAsvvMDZs2e54YYbuP7661EUhWQyyaZNm0SC4YULF7JgwejM9F27dtHW1obFYhEuoOnTp4879sDAAC+//DKZTIaFCxcyZ86cT/XaJJKPisFgEHG/Go2NjTQ2NpLP5xkaGmJgYIBwOExpaSkwOtB/9913xfYul4tAIMD69esxm80MDw9jMplkZYIPgRRjVxCqqjI8PCysW9dddx2KovDiiy+yZ88esZ3dbqesrAxVVVEUhbVr12I2m/F4PBe84eVDIJGMx2KxsGrVKt5//33d+mKxyJIlSwiFQhSLRZ566ilqamooKysjnU7T0NDAggULUBTlopaATZs2sWTJEkpLS9m0aRO1tbWy/q1kwmIymQgGgwSDQWbMmCHW33TTTSxYsED0WeFwmFgsJnKivfHGGxw6dAibzUYwGCQQCFBRUcHChQsv16VcsUgxdplIJpNYrVaMRiNHjhzhnXfeob+/n1wuJ7Zpbm7G4/HQ1NREeXm5eBgcDodOYMlZMRLJR8fhcOBwOOjo6NA9T1pRao1AIMDIyAhlZWUYDAa8Xu8l690ODAwAMH36dAwGA3V1dRw7doxFixbJgZHkqkJRFGFNmzZt2rj2xYsXU11dLcTa0aNH6e7uFmLsV7/6la5oe1lZGaFQ6JpM7i3F2KdAIpHgxIkT9PX10d/fT39/P7FYjA0bNlBdXY2iKJjNZubOnStuykAgIEbd9fX11NfXX+arkEiuLAqFAvl8HlVVKRaLFItFTCbTR36RX6wKiaqqZLNZurq6uPXWW4HR+ri7d+9m3759VFdXs3r1al2dQ4DBwUHdAKm8vJzOzs6PeHUSycSnurpaFzIDoxVZNAKBAGfPnuXgwYNkMhkAGhoaWL9+PQDvvPMOXq+XUCiE3++/qvOlSTH2MaEVD+3r6xOia968edTX1xMOh/n1r3+N0WgkGAxSX19PKBTC7XYDv/PLSyRXKtp0+Ww2i8ViwWQykUwm6evrI5fLkcvlyOfzFAoFpk2bhsvloqenh/fff598Pi+WQqHAqlWr8Hg8HDlyhF27do1r/8IXvoDH42HHjh1s27ZNCK1isYiqqvzVX/0VdrudN998k3feeUd3nosWLRLC6Q9FURSefvppli9fLp7VOXPmMH/+fGC0o9iyZQurV6/WWbwKhQIGg0F3nA8qO9fe3s57772HyWQSi9Fo5Oabb8bhcHD69GlOnTqlazOZTLS0tGAymYhEIsRiMSwWC2azWfy02+3SGie5ohg7E1Mr+aSqKtFolL6+PtGez+d58803xQxPo9FIIBBg0aJFzJs3T8RSu93uq+Iel2Ls9yCfzxMOh4UfPRqN8sQTTwhlD+Dz+URgb1VVFY888gh+v1/3kpZIPkmKxSKJRIJ0Ok06nSaTyZBOp6msrKS0tJSRkRF27txJNpsVgiqbzbJ06VImT57MmTNneO6558R6TVB87nOfY+rUqZw5c4Znn3123Od+8YtfxOVy0d/fz7Zt28YJCO050SxaFosFh8Oh2w4gGAzS0tKCwWDAYDCgKAoGg0G0NzQ04HA4dO1lZWWX/E727NnD7t27KRaLrF+/Ho/Hc1Gh9OyzzzJp0iRd8P1Y92RraytPP/00q1evFtejKAoOh4NkMik6iHQ6/YGzzLTvIplM6oSp1hGdPXuWbdu2jduvqakJk8lEW1ubrsarxt/+7d+iKAqvvvoqhw4dEkLNYrFgs9m4//77Adi/fz/9/f2i3Waz4XA4xCAxFouhKApWqxWTyXRVdH6SKwdFUfB6vXi9XrHOZDLxrW99i0gkojNyaH3o0NAQ//qv/4rNZqOsrEwkGJ8yZYoYPE0kpBj7EKiqyq5du+jt7aWnp4dwOEyxWGTu3LnccccduN1uZs+eTTAYFD7vsQnzzGYzwWDwMl6BZCKijRaTySSpVIpUKkU6naasrIzq6mrS6TSvvPLKOLG1ZMkSFi5cyODgID/60Y/GHXft2rWUlpaSTCbZvXu3roM2m81CADidThoaGkSb1q654CZNmsTnP/95zGYzZrNZiCmn0wlAS0sLLS0tF+24Z86cecHs4hpTp04VJV0uRG1t7UeuXTpv3jwxqh6bONNoNOrO8ze/+Q1ut5tVq1bp9tcsgzAqkDwej2jT9q+qqqK7u5t8Po/ZbObAgQPceOONlxQwTU1NNDU1XbR9+fLlLFu2TAg0TbBp57Jo0SIaGhqEcNYEttZxlZeXk06nde1jS5idPn2aQ4cO6dZ5PB4hxjZv3syJEyfE92Wz2SgvLxfpc7Zs2UIsFsNqtYqltLRU7D84OIjJZMJut8uC15IPjclkoqys7IKDLJvNxq233iqEWltbG/l8nvvuu4+ZM2fS29vLe++9R3l5ORUVFZSVlV3R957yQebzK4kFCxaou3fv/sSOn0gk6Onpobe3l97eXux2O+vWrQPgBz/4AdlsVqjviooKqqqqLhnIK5HAqIVKE1PJZBKLxSJKRG3ZsoVEIqFrb2xsZOXKlRQKBf7+7/9+3PGWLFnC6tWryWQy/Nu//Rs2mw2r1Sp+Njc3M23aNLLZLAcOHBjX7vF4rskA2fNJJBI8+eSTpFIpYfV55JFHCIfD/OQnPyEYDIoUFitXrmTq1Kls2rSJ/v5+FEXBZrOxZs0agsEgiUSCl19+mfvuuw+AtrY2du/ejcFgoKKigrVr104Iq3ixWCSbzZLJZMjn8/j9fgBOnjzJ4OCgEPzpdBqHwyHE6n/9139x7tw5MpmMsHzW1tbyhS98AYAf/vCHRCIRYLSDdTgcTJs2Tbxf33jjDTE71W6343A4KC0tFcJ/rHiWSC5EsVgkEong8XiwWq0cOXKEzZs3k06ngdHBUiAQ4LOf/SylpaUkEgkMBsMnnhtNUZQ2VVUXfOB216IY0+K7hoaGqKurA+CZZ57RTXH3+XxMmTKF2267DRh1NVitVvlCkOjo7u5mZGSEeDxOIpEgkUjg9XpZunQpAE888QThcFi3z4wZM/jMZz4DwHe+8x1U5c9zIgAAIABJREFUVRUdkN1up6GhQcQl7d27V7iM7HY7VqsVh8NxRY/wJhJjy8aoqorZbBaB+4qiiDg1i8WC0WgklUpRKBRQVRWj0YjD4QBGO4JYLCbcLFrHUCwW8Xq915T4VVWVTCZDoVAQVtJjx44Ri8V0Vt5gMMiSJUsA+P73v8/IyIjOZaxVCVFVlX/8x3/EbDbjcDhwuVw4nU4aGxuZNWsWqqpy9OhRnE6naJMZ4iXwu75e82r19vZyzz33YLFYeOONN9i+fTter5eKigphaGloaPhYB05SjJ1HV1eXmFbb3d1NKpXCaDTy13/91xiNRg4cOEAikRD/EJlJ+NpC60BisRiZTEbMAGpra+PcuXNCaCUSCdxuNxs2bADgySefpLu7WxzHbrdTX1/PvffeC8D27dvJ5/M6seXz+eSIXyI5D+0Z1ASb1WolEAhQLBZ56623SCaTJJNJEokE8Xic2bNns2zZMpLJJP/yL/+iO5bZbGbVqlW0traSTCZ5/fXXhVDTRFswGBRiUXLt0d3dTUdHh/CERSIRbDYbjz32GIqisHPnThFjW1VVJQZeH5UPK8auupixVCpFd3c3XV1d9PT0cNttt+F0Ouno6GD79u2EQiEaGxuprKykoqJCdIQtLS2X+cwlnxT5fJ5YLCaWZDIp8ty8+eabHDp0iGg0KuJlnE4njz76KAAdHR10dnaKl3gwGBTZpwFuu+02FEXB6XTicDjGTb3WLGQXQwoxiWQUzfV7vhXRYDDo6iuej9Vq5eGHH9ZZp+PxOKFQCBjN6Xjs2DGSyaTO8nb77bczb948ent7ee6553C73Xg8HlwuF263m8bGRnw+n242n+TqobKyUpQFhNF40KGhIfFOPn369DhvWWNjI2vWrAFG+5Xz09r8IUxoMablK7FYLJw+fZrNmzczNDQk2v1+P7FYDKfTycKFC2ltbZXunauMdDrN4OCgEFrRaJRYLMa6deswmUzCFH0+c+fOFbErlZWVTJs2DbfbLV7IGloM0MXQarhJJJLLg9FovORzGAgEePTRR0XspibWNOu0wWCgrKyMWCzG2bNnicViFAoFAoEAPp+P48eP88wzz+BwOMQ7wu12s2zZMkpKSojH48TjceGOlgOsiYnFYtFNFPjjP/5jMpkMPT09dHV10d3dLf63qqry/e9/H5vNJkRdVVUV5eXlv7dAm1BuytmzZ6s//vGPheVrYGCAO+64gzlz5jAwMMCWLVvEF1NZWXlNxWlcraRSKXp7exkZGdEtt99+Oz6fj3fffZfXXntNbK8Vwn3ooYfweDycPHmSrq4undByu93ypSmRSC6IqqqkUimRTy8cDtPe3q6zrsdiMR588EGCwSA7d+7klVdeAUY7dC1Fw5133onL5WJgYIBEIiHePR+nNUVyeSgUCmzfvl2EPcXjcWA03c2aNWvI5/Ps37+fqqoqKioqrj43ZTgc5uWXX8bhcFBVVcXMmTPFiCgQCIigaMmVjxYrFY/HOX78ONFoVFi1otEoa9euZdKkSXR0dPDcc8+J/VwuF16vV1hFp0+fTmlpqXjROZ1OXfDllClTmDJlyqd+fRKJZGKi5YrTCAaD3HDDDRfdvrGxEbfbLQaK0WiUkZER4YXZu3evrpi2w+HA4/GwYcMGTCYTHR0dRKNRPB6PWOQEhCsbo9Eo7gkt+WxXV5eoP9vf38+LL774kVzbE8oy1tzcrGqzH6RV48pFS2BpNBpJJpPs27eP4eFhRkZGxM+1a9fS0tJCZ2cnP/3pT4HRWC3NerV8+XKqqqqIx+OEw2G8Xi8ej0eOKiUSyYQiGo0SDofFgDMajZJKpYTxYOPGjRw6dEi3j8/n48///M+B0YS8yWQSn88n6qLKygpXNqqqMjQ0xODgIA0NDXI2peSToVgsioSTuVyOHTt2iFGhJra0JJXRaJTvfve7WK1W3ctk1qxZVFdXi+B6ab6XSCTXIrlcThfvOjIyQqFQEJaX//zP/+TUqVO6fSorK/nSl74EwI4dOygUCrr3q8vlkmLtCuGanU0p+cPR6hCaTCZUVWX79u0MDg4yPDzM8PAw0WiUefPmsW7dOoxGI1u3bhUpG0KhEA0NDSI1hNvt5pvf/OZF4/dMJpMw7UokEsm1htlsprS0VDdLeywPPPAAqVRKDHaHh4d1bsz9+/fT19en22dsse3XX38dm81GSUkJJSUllJaWynjqKxApxq5Rxua3OnDgAH19fQwNDYmltraW+++/H0VRaGtro1AoUFJSQk1NDV6vl0mTJgGjM5G+/e1vX9SqpU1Xl0gkEslHR4thczgcF5w1+pWvfIVMJqPzTLhcLmD0PX/gwAFisZhun0WLFnHrrbeiqipvvvkmPp9PCDW32z0hqkVcbUgxdg1w+vRpuru7GRwcFGLLbrcLM/fu3bvp7u7G5/NRWlpKTU2NsGwBfO1rX7tkIKJ0L0okEsnlw2q1EgqFRG41DUVR+MY3vkEmk9ENtrXtEokE77zzDsViUexjNBpZvXo1ixcvJp1Os3fvXkpLS4VlTaaH+mSQvehVgFbuIRKJEIlEGBwcJJlM8tWvfhUYFVuHDx/GbrdTUlJCZWWl7qG9//77sVqtFx0NyWSHEolEMnGxWq2iusxYXC4Xjz/+uCgPqAWda9uFw2FeffVV3T5er5d169bR0NBAPB6np6cHv9+Pz+eTFrU/ABnAPwHQps5qYktb7rvvPsxmM6+++io7duwARqdN+/1+/H4/t912G0ajkVgshtlslu5CiWQMw8PDbN68mc7OTm644Qauv/564bp/8sknKRQKGI1GVFVlw4YNGI1GisUiv/71r+nr66OkpIS77roLq9U67thnzpzhjTfeIJ/Ps3LlShoaGj7ty5NI/mC0nGuaSNOW1tZWKioqOHToEBs3bgRGQ1ZKS0vx+/2sXr0av98vark6nc5rdkKBDOCfgGQyGcLhsBBbCxYswOPxsGvXLpFUEEbdgn6/n2QyidfrZf78+cycORO/33/Bmpput/vTvAyJZEJgsVi48cYbdSVPNJLJJOvXr8fj8Yg0LTA6c83tdnPzzTeza9cudu7cybJly3Qdjaqq/OY3v+GWW27BarXy61//mpqaGjkYkkw4xsarVVVVjWtvaGjgi1/84jhDgfa87N27l9deew2r1SqMBKWlpVx33XVYrVZZm3cMUoxdBpLJJOFwWARLnjlzho0bN+qCLBVFoa6uDo/HQ319PWvXrhU3s8fj0d3Afr//clyGRDKh0TqZjo6OcR2CwWDA4/GMs3odPHiQ++67D5fLxcKFC/nlL3/J9ddfr3Plnzx5Er/fz+TJkwEIhUKcPn2axsbGT/yaJJJPE6vVyqRJk8SErvOZOnUqRqNRhM90dnZy+PBhUbP31Vdf5ciRIwSDQQKBAMFgkGAwSHV19TUn0qQY+4QYmx4iHo+zdetWBgYGCIfDJJNJANatW8eCBQtwu93U1dWJGzIQCFBSUiJe8NoNKpFcTWjPSKFQIJ/Pi58OhwObzUY2myUSiVAsFsWiqirBYBCn00kikeDcuXO6ttLSUl3x3w97HudTKBR46qmnMBgMLFy4kNmzZwOjCTx9Ph8wanGORqPj9o1EIgSDQYrFIgaDgVAoxODg4CWtAIVCAVVVMRqN11wnJLl6udCkgrEFtisrK4nH4wwMDHD69Gny+TxOp5NHH30UgLfeeotEIiH6wGAwiMPhuCqfESnGPgaKxSInTpwgHA4LwTUwMMCiRYtYtWoVJpOJw4cPEwwGmT59uriptE6jtLSUu+666zJfheRaRkvkm8vlMBgM2O12VFXlzJkzZLNZcrmcWEKhELW1teRyOV577TVyuZxOTDU3N9PS0kI8HueXv/ylrq1QKLBixQoWLlzIwMAATzzxxLhzuf3225k3bx7hcJgf//jH49rvuecempub6e/v51e/+pWubeHChR9ZjGmMfcE/+OCDOJ1OUqkUzzzzjJhlfL6gupDA0kSYtl5RlA90x+zevVuEIhiNRkwmE0ajkYcffhiv10tbWxu7d+8W67Vt7r77bqxWK0eOHOH06dOYzWaxWCwW5s2bh8FgIBwOk0gksFgsum2cTufv9V1JJL8vY2ffz5o1i1mzZgGjz83IyIio8wijA5ujR4+K8ncAdXV1PPjggwAcOnQIm81GMBgc5zGaaEgx9hFIJpP09fXR398vAni1eJGNGzeSzWZxOp0Eg0FmzZolTLc2m43HHntsQt8okiuTZDJJOp0mk8mIxWazUVtbC8D27duJxWK69pqaGlauXAnA9773PRKJBPl8Xhxz7ty53HHHHQA89dRT4z5z8eLF4viHDh3CZDJhNpuFQMjlcsCoqNBKWI0VEJpb3eVysWrVKp34MJlM1NTUAKODlM9+9rMoioLBYBACRxtpV1ZW8vDDD+vaLxQzOZa2tjba2tooFosiJkyzjI0VTFoCTqvVyvTp0+ns7KSmpgaHw0E6ncZut5PNZnVlabT9HQ4Hvb294u9UKvWBoQTV1dWsXLlynJVQc5PabDY8Ho9Yn81mSSaT4rP7+vo4cOAAuVyOQqEgjjt//nwAfvvb37Jnzx7dZ5rNZr797W8DsGnTJo4ePSrEmtVqxev1ct999wGwZ88ehoeHsVqtYnE6ndTX1wMQj8cxGAyiuLZE8lExGAwifYbG3XffLSawhcNhwuGweCZUVeXFF18kk8kAv0vv0dLSwoIFo/HymUzmghNsrkTkU3MBcrkcAwMDJJNJUWT6Zz/7GWfPnhXb2O12mpqagNGR7xe/+EW8Xu9FOwMpxCQXIp1Ok0wmSaVSpFIp0uk0iqKIe2vbtm309PSItkwmQyAQ4HOf+xwwKpb6+/t1xxw7cty3bx+JRELXiY69F5ubm1FVVWdN0VziiqLw+c9/XmdJ0TpqGO3MH3vssYtem91u5/77779k+7Jlyy7ZPn369Iu2W63WCybBvBTz589n/vz5OuFlMBh07sF8Pq/7+/Tp07S2tgJQX1/P4cOHWbhwIYcOHaKurk5nAdO2eeutt1izZg0AR44cEf+Pi1FVVXXBAGmNpqYmcU9ciBUrVrBixQpg1MKgWTG1c7r++utpbm4W67PZrM49W1tbi8lkEkIvk8no2o8dO8bRo0d1nxkMBnnkkUcAePbZZ+ns7ARGRbgWS/THf/zHwGhskCZibTYbdrsdv99PXV0dMJqex2KxYLPZ5LtSokNRFFFAXeuPtfVf+9rXhEjr7++nv7+fVCoFjAqx//E//gcej0e4S8vKyqitrcXr9V6uy7ko13Rqi/Oz0B89epS+vj4R3+F2u/nGN74BwK5du8jn85SVlREKhWTtL4lAVVVhqUgkEqTTaaZOnQqMBnyfPn2adDotBJfRaOShhx4C4Omnn+bYsWO6440tEvx//s//oa+vT3Rg2qyk5cuXA9De3k4ulxtnsdBeNnK20sVJJBI8+eSTpFIpFEXBarXyyCOPkEqlePbZZ4FRYTN16lRWrVqFwWAgFovx3HPPkU6nsVqt3HPPPXi9Xnp7e9mzZw9r164FRkX0kSNHAJg+fboQShMZVVXJ5XLCwqrF7wEcPXqU4eFhIeQymQwej0eI7V/84hf09fWJVAcA06ZNE2L9O9/5jnBPaff6zJkzuemmmwB45ZVXMJvN2O12nE6nSOFzsRJCEkk6nWb37t1CpIXDYYrFIrfeeiuLFi1iaGiILVu26ISa1+v92N+XHza1xTUjxrLZLL29vWLp6+sjEonwV3/1VxiNRl555RWOHz+u+8eEQiECgcDHfBWSKx3tmVAUhaGhIXp7e0kkEiSTSbHccccdmEwmtmzZwrvvvqtzDQH87d/+LQaDgZdffpn29nbsdruwCrhcLuEGPHnyJPF4XGcxsNvtopyJ5JNFC/zXfteyi2sxKqqqCheqRjqdFtYzzRJeKBRIpVLi/5bP5xkeHkZVVUpKSqTrbgy5XI50Oo2qqng8HmB00JJIJHQW4urqahYtWoSqqnznO98hlUrpMsVrJX3y+Tz/9E//hMPhEELN4XDQ1NTE9OnTyefznDhxQqx3Op3SAncNUigUiEQiOJ1OnE4nnZ2dbNy4kZGREbGNxWLh/vvvZ/LkyaJ4eygU+oOqDlzTYiwej9Pb20tPTw/z58/H4XCwfft23njjDWDU/VFeXk4oFGLFihXYbDZpQbjKUVWVTCZDPB4nHo9TUVGB1WrlzJkz7N27V6yPx+Mkk0m+9rWvUVJSortvYPRhdTqdbNiwAafTydGjRzl79qyuI3A6nVRUVMhs1BLJx4j2DGsDIs3Vmc1m2bp1q1ivDZwWL15Ma2srg4OD/Ou//qvuWIqisHbtWhYsWMDIyAhbt27F5XKJxe12EwwGPzAGUTLxyWQyIg68v7+f66+/Hq/Xy86dO3nllVdQFIVAICAqGMyfP/8jxaFdE0lfVVUVCRl7enrYsmULvb29utkY1dXV1NXVMXPmTILBIBUVFbjd7nHCSwqxiUmxWBQiKhaLid+bmpoIBAJ0dHTwwgsvEI/HdUHqX/jCF6itrSUWi3Hq1ClcLhder5eqqiqcTqcYCc2ePZupU6eKUfX5Fo7p06dfMq5JIpF8PCiKgs1mw2az6dyTFouFm2+++aL7eTweHn74YSHStJ9ayZ9EIiEs1GONE/feey9NTU2cOXOGTZs26cSay+WipaUFn89HJpMRk7fkAGziYbVaqampEROHNJqamvB4PMKbdubMGQ4ePCgmB7z77rucOXNGiLSKioo/yM05ocRYNptlz549OlfjLbfcwty5c0XZnylTpogvp7y8XGS9Li0tlfEFE5BcLse5c+eIxWLCbByLxZg3bx5Tp07l3Llz/OxnPxu3n5azzeFwUFNTM+5FWlZWBowGsDc3N1/0891ut6xgIJFMYEwm0yUnelRWVvKNb3wDVVVJJpNiQKe9IywWC1VVVcTjccLhMKdOnSKdTlNXV4fP5+PIkSNs2rQJg8GAy+USweY333wzXq+XoaEhRkZGcLvduFyuCTO771rH5XIxY8YMZsyYIdalUiksFgswagwaHBzk+PHjQsSPjfc9c+bMR3JvTig3ZWVlpfrlL38Zi8UixFZzc/M4RSu5sslkMhSLRex2O7lcjl27dgmrlia6Fi5cyHXXXcfw8DDf//73xb5WqxWPx8Py5ctpbm4mmUzS3t4uXnQulwun0yljdCQSySdGPp8X6VQikQgdHR1ioBiNRolGozz44IN4PB7efvtttmzZIva1WCy4XC42bNggKkD09vaKgZ/b7cbj8fxBcUqST49cLkdfXx+9vb1ks1mWLFkCwP/6X/+LSCTC3/zN31x9MWPNzc3q22+/jc/nk27FK5RcLicCIgOBAKqq8tJLLzEyMsLIyAjRaJRMJsOCBQtYt24dhUKBv//7v8disQhB5Xa7mTlzJjNmzKBQKNDZ2SlHlRKJZEISi8UYGBgQA01t4Hn33XeLST7vvfeebh+DwcDjjz+OwWDgvffeo6+vD6/XK6xuXq9XenqucCKRCMPDw0ydOvXqE2Mfd2oLyUcjn8+LUR8gau9t2rSJnp4eotGoyPEyffp0PvvZzwKjIwSDwYDX68XtduP1eqmurhaJQ7PZrDD9SiQSybWENjFBE2nRaJR0Os3ixYsBePnllzl06JB4t8JoHNzXv/51YDTtx/Dw8Dihdqm8dZJPj2sigF/y8aJZtbR8QTNnzgRGxdbx48dJJBJi24qKCh5++GFgNIje6/VSU1MjXghja2l+5StfueTnSiEmkUiuVcZOTLhQDeK1a9eydu1acrkc0WiUkZER3WSkYrHI0NAQZ86cIZ1OA1BTU8Of/umfAqM53rLZLD6fTyxlZWVSrF1hSDF2DTFWbMViMebOnQvA66+/LjK1azgcDiHGSkpKmDZtGl6vV5jKtWLJgKyrKZFIJJ8wZrMZv98/rrSWlmgYRuNxo9GoLh9baWkp4XCYzs5ODh06hKqqNDU1ce+99wLwxBNPYLPZ8Pl8eL1efD4fVVVVYrap5NNBirGrCFVViUajDA4OMjg4yJw5czAajezYsYN33nlHJ7ZgdCah2WzG5/Mxbdo03chprNjSsr1LJBKJ5MrFarWOs66NFWvFYpFoNKpLdFxVVcXw8LBOrF133XWUl5eTzWb54Q9/qOsXSkpKqK2tlTFrHzNSjE0wtMzeg4ODTJo0CZvNRnt7O1u2bGF4eFiXCX7y5Mn4/X58Ph/Tp0/XjXx8Pp+YcajlTZFIriWGhoZ44YUX6Ozs5IYbbuD6669HURSGh4fZuHGjmDEXi8VobW1lyZIl7Ny5k927d2O1WlFVleXLl18wz1x/fz8vvfQSmUyGxYsXCyu0RHI5MRgMuoG2wWDgzjvvFH8Xi0VisZjIl5bP55kyZco4sXbLLbewePFiBgcH+dWvfkVpaako8l1aWkplZSUOh+NTv76JjBRjVyDpdJqhoSE8Hg9Op5Ouri5ef/11ka9G44EHHqC+vh673U4oFGL69OnioSgtLRWlRs7PlSKRSEatCDfddJOoIanh8/l48MEHUVUVg8HAd7/7Xerr64HRZ7OxsZFFixaJWJ8LsWnTJlasWEFpaSkbN26UlgTJhECbaKXhcDh0Yq1QKDAyMiJmtReLRUpLSxkaGuLkyZMilu0zn/kMM2bMoLOzk61bt+qEWklJCYFAQKYfOg/5bVwm8vk8hUIBq9VKNBrlzTffJBKJEIlESCaTANx5553C1ZjP56mtrdXd1FpSwrq6Ourq6i7n5UgkEw6tqsLJkyfHpcrRcjx1dXVRUlIiXD8Gg+EDEwGHw2GMRiNTp05FURSmTJnCsWPHWLx4sUzJI5nQGI1G3aAiEAiIWfOqqhKPxxkcHBTPSz6fJ5PJ0N7erpsN+qUvfYnKykpOnjzJ4cOHCQQCIh6upKREVwv2WkGKsU+BfD7Pnj17hNjS8o+sXLmS5cuXYzAYOHHiBH6/n8bGRjF6qK6uBqC8vJwNGzZc5quQSD55VFUVFiltyr9W9kz7aTabsdvtFItFBgcHdW0Oh0M3sv+wn3kx9u/fz4wZM4TbplAo8O6777Jv3z6qq6tZvXr1uOScg4OD+P1+Ue82FArR2dn50b8MiWQCoSjKuIFKXV0dDz30EDBqVR4cHGRoaIhAIACMhgocPXqUvXv36o7zl3/5lzidTjo6OsTz5Pf7L1jK8GpBirGPiXPnzjEwMKATXHV1ddxyyy0YDAZeffVVjEYjfr+f6upqZs+eLaxZLpeLv/zLv7zMVyC51lFVlUKhICy2AAMDA6TTaXK5nFhsNhtTpkwBENUTCoWCsPaGQiGRI+n5558nkUjo2uvr67npppsA+MEPfkA6nRafWygUmDdvHrfffjsA//RP/zTuPFtbW1mzZg25XI4f/ehHurZFixZx6623/l7Xf6GXfHt7Ow899JBomzNnDgsXLgRg+/btbNmyhZtvvlm3b7FYxGAwiHUfpvPYs2cPW7duxWg06pb7778ft9vNoUOHOHjwoFhvMpkwGAysWbMGi8VCR0cHXV1dmEwmzGazWBobGzEYDAwPD5PJZMR6bTvpKpJ8WthsNiorK6msrBTrFixYwIIFC0ilUqLfHBwcFPFmBw8eZN++fWJ7s9lMKBRiw4YNKIpCV1cXiqLg9/snfEJw+SR+SDQTbDgcZmBggHA4jM1m48YbbwRg48aNDA8PYzAYKCkpwe/3C/VvMBj4+te/jsPhuGpVveTyoBU+zmazZLNZYUnSYgQPHDhAT0+PKGaczWax2WzcfffdADz33HN0dHSQz+fJ5XLAqCX2y1/+MjAqprq7u3WfWVNTI8TYe++9RyQSwWQyYTKZhEt97PllMhmMRiMWiwWj0agL7G1oaEBVVZ0A0fIfKYoihI4mbgwGg3DPm81mkcVcayspKbnk99XW1kZbWxvFYpH169fj8XiEZUyzZGmcPHmSQCCgs7SNDX5evHgxTz/9tPhb29/pdOpmLqdSKWw22yWffZ/Px9SpUykWi0K0FgoF4a7JZrNEo1GxXttGK5B94sQJduzYMe64f/d3fwfA22+/zZ49e3RtJpOJxx9/HICXXnqJ48ePYzKZsFgsWCwWPB6PuE/27dvH0NAQVqtVtLtcLhFLF41GURRFtMn3nOSjYLfbqa6uFt4gjTvuuIMVK1bojBy5XE7cX2+88QanTp0CRusIB4NBJk2axA033ABMrITiUoydh6qqjIyMEA6HSSQSzJkzB4Bf/vKXnDx5UmxntVpFhwRwzz33YLfb8fl8F/R3O53OT/7kJRMCrfNXFIVYLMbQ0BDpdFq3LF26FIPBQFtbG4cPHxbrs9ks+Xyeb37zmyiKwmuvvaYbOcLovamJsePHj3Ps2DEsFovoSMe61aqqqrDb7TqLiTbxA2D16tXkcjmdtWVs0PpXv/pV4cK7EJ/73Ocu+V18kBXruuuuu2ibwWBg1qxZl9z/fObPn8/8+fN1wstgMGA0GscJiEOHDtHc3Kxbn8lkxAj89OnTeL3ecRawyspKenp6yOVyWCwW9u/fz5o1ay55XvX19ULYXIh58+Yxb968i7avXr2aG2+8UWfBzOfz4pwWLlzIlClThOjO5XI692x5ebnYRxPtWgJRgCNHjnDs2DHdZwYCAf7bf/tvwKioH+uKNZvN1NbWiv//Sy+9RDKZFMlNtRQM2n3a09ODyWQS7SaTSQo6CYqiiPyWF3o+1q1bJwwkmpGkr69PtP/v//2/SaVSBINBAoEAwWCQmpqaKzLh7TUrxrSsxVoCvffee4+9e/cyMDAgLAQmk4mWlhYMBgOzZ89m2rRp4p/qcrl0L4vzFb3k2kCzWCSTSVKpFMlkkmQyydy5c3E4HLz//vvs2rVrnNj6i7/4Czwej3BPnc/ChQtFIfV8Po/L5cLv9wtRpYmJuXPnUl9fr7NYjDXX33333Zfs1C4lduB3Ja8uxqWE2JWMoigkEgn+/d/C9406AAAc+ElEQVT/nXQ6jaIo7Nixg0ceeQSr1Uo+n6e9vV1YnjR+85vf0N/fj6Io2O12ISbj8Tgvv/wyn/nMZzCZTKxYsYKf/vSnKIryqbz8FUURlsULzfAsLy+/ZBJPTaRejPvvv59isUgul9NZYDWWLVvGyMiIzkI7NnYomUzS398v7v98Ps+0adOEGHv66aeJxWJie4PBQEtLi5jJ98wzz2AwGLDZbDgcDux2O1VVVaKkWiQSwW63Y7fbpYi7hrhQEtyxLFq0iP7+fgYGBjhy5Ah79uxhzpw5VFVVoaoqTz31lJjdqfXtPp/vsrzXrpnalP39/Rw7doz+/n76+vqIRCIUCgUeffRRnE4nu3bt4tixY+Kfov1jZK6Ua4NisShcfslkklAohNPpZGBggLa2Np3QSqVS3HXXXVRXV3PgwAGef/75ccd76KGHqKqqor29nd/+9rdixK8tra2tOBwOMZnj/PZrcTbR5UDLVK5NHBgbQ6VZBMeSyWQoFArCtaoJH1VVSSQSuFwucdyRkRGKxaIscH8Bxs4mB+jo6CCVSukGLMFgkJaWFlRV5Wc/+xmpVEo8h6qqivjAfD7PP/zDP4hj2+12HA4HixYtYtGiRWSzWbZu3SrWaz+1QbXk2kBVVZLJJIVCAY/HQzqd5tlnnyUcDhOPx8V2N9xwAytWrCCTydDW1kYoFKKsrGycAebD8mFrU15VYiyVStHX10d/f79YbrvtNkKhEHv37mXz5s14vV5CoZAQXDNmzJAvyquYfD5Pb28viURCLPF4nKamJiZNmkRPTw+/+MUvRDoRjXvvvZempiZOnTrF008/LdIgaC/ypUuXUlZWJpIhauu1bWTcjETyyaDNsoXRoHDNijnWOp1KpWhsbKS5uZmRkRF+9KMfCY+Hxpo1a2htbSUSifCzn/0Mp9OJy+XC6XTidDqZNWsWlZWVZDIZIpGIWC8nPVx9pNNpwuEw4XCYiooKKioqOHfuHD/5yU/ENlo+z1WrVjFp0iRyuRyFQuGiuQY1rmoxlsvlGBgYoK+vj6qqKoLBIKdOneI///M/xbY2m42ysjJWr15NVVUV2WyWYrH4gV+c5MqmUCgQj8dFvqdsNsv27dt1YiuRSLBo0SJaW1sZGhriBz/4ge4YFouFNWvWMG/ePKLRKNu2bRMvWm0JhUI4HI5xQd0SiWRiksvldGKtpKQEn8/H8PAwb7/9tm6wlkgkuPPOO8WAbGzfYrVacTqd3HHHHdTW1tLf38/hw4dFWgeXyyV+TlQ3vmQUzb0+1shzyy23UFVVxeHDh3nuueeEgUezoDU0NOh0xlUpxqZMmaJ+/etfZ3BwUMQr3HjjjSxdupRkMsm+ffvEl3I15yO5GtFEViwWIxaL4XA4qK2tRVVVnn76aaLRKLFYTFiwNBdFoVDgH/7hH3A4HLqR7cyZM2lsbKRQKHDy5EnR5nA4xrmeJBKJ5Hy0gVgymaSzs3PcgG/ZsmWEQiEOHTrExo0bx+2vhSocPXqUtrY2nVBzu93U1dVNmJl+kvFocWiaSBsYGKBYLPLnf/7n+Hw+Dhw4wPHjx7n33ns/lBibUPbWXC5HMBikqalJqFAtG7DD4WDJkiWX+QwlFyIejzMyMiKEVjQaxel00traCsC//du/0d/fr9unsbGR2tpaFEWhWCzi9Xqprq4WL7OKigpgNCP03/zN31x0BGo0Gpk2bdone4ESieSqQxvMOxyOC9Yf1WhubmbGjBkkEglisZgYVGp9Uy6XIxaL0d3drUt58o1vfAOLxcK2bdvYtWvXOMvasmXLMJlMIp7J6XRKA8MVRCAQYNmyZeLvQqFAJBIRqXCSySRDQ0Mf+ngTyjL2hwTwSz45urq6CIfDQmzFYjGsVit/9Ed/BMCTTz6py1WlKApTp05l/fr1AGzbto1isSheRm63G6/XKydPSCSSq4pisUg8Hicej1NeXo7BYODo0aMcPXpUiLh4PE4qleLxxx9HURQ2b97M3r17MRgMQqiVlJRwzz33AKMJx3O5HG63G4/HI61tVxgf1k05oSxjkk8HLUBW83ufOHGC06dPC1dhLBajWCzyZ3/2ZwC88847otiyzWbD7XaLxJwAK1eupFAoCKHldDp1lqzly5d/ilcnkUgklweDwYDH49Hl8ps+ffo4y1uxWBRWsLlz51JeXq4b7I6dcPTWW29x4sQJ8bfVaqW6upo/+ZM/AUYT9ubzeZGvy+v1yklrVyBSjF2D5PN5otGoyKdy4sQJjhw5wsjIyP9r796DmzrPxI9/X0uyLNuyZUnYgC9xIPaCgRgCgaRLHAiXNuVS6GXIZTe0O01ImkCy0+02m0z/brrJ/H6baXfTYXbbmc6207RpmpCWZAlsk1KGBeqACQ7FTiGJDRhkbAlfdLXe/UM+71o1JrQTfGzr+cxobOkcSY+O5fc8571y+fJlM1/Q008/jdPp5P333+fIkSOUlJTg9XqZPn06Xq/X9KlYvXo1q1evxuv1XrE/1k033WTDpxRCiMlp5MVqdXU11dXVY+67bt06ent7TRcQq2XCcvDgwVHdQGbPnm2Stbfffpu8vLysZM3r9cr0OuNMkrEpKBqNEg6HzSShZ86c4ciRI0QiESKRiOm3sGPHDsrKyrh48SKnTp2itLSUQCDArFmzKC0tzRok8elPf3rM/gpW3wghhBDjy+fzZS3T9ae2bdtmEjXrHDByRZhjx44RDoeznrNgwQKzFNYrr7xCYWGhSdR8Ph9lZWVSu/YJk2RsEkokEvT29uL1eiksLOT8+fP89re/pbe31ywIDLB161Zqa2uJx+OEQiFKS0upqKgw/1RWM+Ttt99+1cEPMvpQTEXvvfcev/vd70in07hcLtatW2dmqe/o6GD37t0kEgmWLFliViqIRqP84he/IBKJUFVVxYYNG644eOT48eMcOnSIdDrN+vXrJ+TyKyI3jKz1ulIN2+OPP25WErGSNasTejKZpKOjg0gkwtDQkHnOpz71KdasWUMikeCVV14xCaE1XYjP55Pzxp9JkrEJKJVKEQ6HcbvdeL1ewuEwb775JuFwmN7eXqLRKACbN2/m5ptvJp1Oc+nSJXw+HzU1Neafory8HMiMTJwzZ86Y7ycjdEQu8nq93H///RQWFvLHP/6R3bt3s3XrVhwOB7t27WLz5s0Eg0F++MMfMnv2bMrLy9m7dy/19fUsWLCAPXv2cPz4cbN+raWvr4+DBw+yadMmEokEv/rVr3jwwQdlzikxYeXn5xMMBgkGg1mPu1wutm/fbmavj0Qi9Pb2mtYQax6utra2rGTt7rvvZunSpYTDYfbt2zcqWSstLZVm0D8hyZhNYrEYQ0NDFBUVEY/HeeONN+jp6aGnp8cMZb7rrru44447yMvLo6uri7KyMmbMmGG+2DU1NUBmseevfe1rdn4cISadkbUEN9xwg2mquXDhgukbmZeXx9y5c2lra6O8vJxTp06xdu1a3G43ixYt4sCBA2b9Wssf/vAHZs2aZQaxuN1uurq6mDlz5vh+QCE+IUopMyH2yO+xz+fjscceQ2tNf3+/qTCwaoIHBgY4e/Ys7733nll6DGDLli3MmTOHc+fO0dzcTFlZGX6/39xycUSoJGPXidaaVCqFy+VCa83bb79tkq2enh6i0ShLlixh3bp1uFwuzpw5Q2lpKTfddJNJtqzFx0tKSti+fbvNn0iIT5bWmnQ6zdDQkLkVFBTgdDpNs0k6nTb7aa0JBAK43W76+/vNJIsjt9fU1PxFq2wcO3aMG2+8EYfDQTgcprS01NQYl5WV0dHRQSwWIz8/3zS/+P3+UX1tILNo9YwZM8wAF2u/qyVjVvx5eXlSUy0mHaWUGS0/8iKnsrKSHTt2kE6n6evrM11prGQtEolw6tSprPnXAB566CFmzJjBhx9+yAcffIDf7zcJ21RdDF6SsU/IiRMn6Orqoqenh97eXnp6eqitreXee+9FKUVLSwuQKdgbGhrw+/0m2crLy+OJJ56wM3yRY7TWJJNJUqlU1s+ioiK8Xi/JZJL29vZR22tra6mqqqKvr4+33nrLPG4lU8uWLaOuro6LFy/y8ssvZyVaQ0NDrFu3jrlz545aYsZy3333UVdXx+nTp3nxxRdHbbf6QZ4+ffqKC7Rbhfifo7Ozk0OHDrF161Yge1oB+L9m/HQ6fU1Njdbzrefl5eXxcfM5HjlyhDfeeAPITFRs3bZt20ZpaSm///3vOXz4MA6Hg7y8PLP9nnvuwe12c+LECdrb23E6nbhcLpxOJ06nk6amJvLy8ujs7KS3t9c87nK5cLlc5qQYi8VM3zmn0zklT3bCPiP7rY00d+5c5s6dSzwezzp3Ws2gHR0dvPXWW1nPKSgoYMeOHXg8Hs6cOUM4HMbv9xMIBCb1xLiSjF2jUChEV1cXly5dMjeXy8VXvvIVAA4fPszZs2dN9l5TU5PVaXf79u3SZ0T8RdLpNLFYjHg8jsPhMHMUtbW1EYvFSCQS5lZeXk5DQwNaa372s59lbUskEjQ2NrJixQqSySTf/va3R71XU1MTK1euJB6P8/Of/3zU9tWrV1NVVUUqlaKtrc2c2K3kIJVKAeB0OvH5fFmJhTXHEmSaN5qamrK2OxwOpk2bBsDMmTP5/Oc/b2qKrJ9WP8hZs2bxwAMPjNoeCASueiybm5tpbm4mnU5z//33E4/Hefnll9myZQterxfI9CWzugpAZgWJoqIiCgsLiUajprAfGBjIKvytmrCioiKi0ai5PzAw8LETGFdVVZn5+EberBFrhYWFTJs2bdR2673D4TAfffRRVuKcTqe58847ATh69CjvvPNO1nu6XC6eeuopAHbv3s27776btc3n85nuD3v37uX8+fPk5+ebW2lpKcuXLwegvb2dWCyGy+Uy2wsLC81JVdZ4FVfjdrvNAt0jLV++nGXLlhEOh02rUiQSMbXfLS0tpqLDep2Kigq+/OUvo5Ti/PnzplyY6AMKJBkblk6n6e3tNYlWd3c3AwMD3HPPPUBmlvgTJ04AmRNJMBjMmtj03nvvxe12j5lwSSKWm1KpFPF43CRTSilT4LS0tBAOh822eDxOIBDgrrvuAjIrF4RCIZLJpHm9OXPmsGXLFiAz5NwazGFZuHAhDQ0NKKW4fPkyeXl55OfnU1xcTH5+vklWnE4nq1evzqpJcblcJhkqLCxk27ZtWdusn5Cp4f36178+5uf2+/3mf+dKysrKWLly5ZjbS0pKWLBgwZjbi4uLKS4uHnP7WBYvXszixYuBTEf7F198kU2bNmX9L1dWVhIKhejv78fr9XL8+HE2bNgAZJKm9vZ26uvraWlpYfbs2SbJsH7W1dXx61//mmXLlpFKpTh37pypBR9LZWXlVUdcNjQ00NDQMOb25cuXm8TIMrKGb9WqVdx+++2kUqmsZM2ycOFCKisrzbZEIpHVwVprTSKRoL+/3yT2I5Ox/fv309HRMeozffWrXwVg586d9PT04Ha7KSgowO12U1NTw5o1a4DMxNFW8mlt9/l8ZnRrNBolPz9fOn3nIKtcssqmkTZs2EBTUxM9PT3mvJ1Kpcz3fs+ePXzwwQdApkwJBALU1NSwYsUKIHNB5fF4JsT5OeeWQ4pGo4RCIbq7u+nu7mblypW4XC727NnDwYMHzX4ej4dAIMADDzyAy+UiFAqhtcbv9+N0Sg6bS6wVCaLRKIlEwpy429rauHDhAtFolGg0avoUbd68GYAf/ehHnDlzJuu1pk+fzrZt24D/WybK5XKZk1B1dTUbN24E4De/+Q2JRMKcnNxuN36/nxtuuAGAixcv4nA4TE2Ey+WaEIXKZPHaa6/R2tpKWVkZkLlgevDBB4FMJ/y9e/eitaahoYFVq1YBmRryX/7ylySTSbMkjdvtpr29nfPnz9PU1ITWmj179pi//dKlS7nlllvs+ZDjZGBgYFQtrcvlora2FoBDhw6NuvCoqKhg7dq1ADz//POj+t/NmzePL37xiwA888wzxONxXC4XHo8Hj8fD/PnzWb58OVpr9u3bR0FBgdlWUFBAIBDImi9RauZyTygU4uLFi1ktWqWlpXzpS18C4Lvf/S6RSAS/308wGMTv91NbW/uJTlR+rcshTclkzBrZ0d3dzfTp0/F4PLS2tvL6669ndRR0OBw8/PDDBINBs75iIBAgEAjIuohT1MiC+dKlS4RCIQYGBhgcHGRwcJBoNMrnPvc5lFLs3buXo0ePmiYnyFSDP/nkkwC89NJLtLa24nQ6zUnA7/ebmqtjx46Z2bCtZKuoqMjUklgnF0mg7KO1Nn9brXVWzUsymURrjdPpzPobWf2rnE6nGfVl1ThZzSfJZNKUNSUlJfI3vgZDQ0NZtcgja3IPHz5MLBYjFouZi59Zs2axdOlSkskk3/nOd7KmVoBMbeGqVauIRqM899xzWYmax+Nh0aJFpr9Sa2uraYq2frrdbkngprijR48SCoXo6emhu7ub3t5eGhsb2bhxI1prvve975mWMKt2rry8HI/Hc83vkRPJmDWKyuFwcOnSJQ4cOGBqvWKxGJBpPqyvr6ezs5Pm5mZzQIPBIKWlpVJITnLpdJrBwcGshKquro78/Hza2tpoaWkxj1v7fOMb38Dj8bB3714OHDhgXsvlclFUVMSjjz6K0+mkpaWFzs5OU4hbN2sduXg8Tl5e3oTviyBELkgmkyZRi0ajeL1eAoEAsViMAwcOZNVgDw4Octttt9HY2MiFCxf4/ve/P+r11q9fz+LFiwmFQrz++usUFRXh8XhMslZXV4fP5zPNuoWFhZK8TXJDQ0Mkk0kKCgpIJBLs3r2bUCiU1V3kzjvvZMWKFUSjUfbt25eVU3i93lHfgSm5UHgsFmP//v10d3ebpGvt2rUsWbKEoaEh2traCAaDzJ8/32Sy1nDyqqqqj+23ISaWaDRKV1cX/f395jYwMMAdd9xBIBCgpaWFV199ddRItYcffpiKigoGBga4cOGC6UhcVVWVVWAuWbKEefPmUVhYSGFh4aikqrGxkcbGxjHjk+VAhJg4rBGiIxfhhszoO6uZ+UqCwSCPP/541gXdwMCAmaLBqvU8d+4cg4OD5kL/vvvuw+fzcfr0aX7605+awRtWf8Y1a9ZQXl5OT08P586dM48XFxdLrdsEZQ0kgsxEuJs2bQIyFT+XL18mFAqZpacikQitra3m+wCZc8KmTZuYM2cO/f39nDt37prfe1LVjM2cOVNv27aNkpISk2zNmzeP6upqGa0zCQwNDZlmO4/HQyQSobm52SRZVsK1fv166urqaG9v5yc/+Yl5vsPhoLi4mC984QtUV1fT1dXFyZMnzWSEVhOD9OsTQlwvQ0NDDA4OUlBQgMvlore3l7a2tqxybGBggE2bNjFt2jSOHDnC7t27s17D4XDwyCOPEAgEaGtr49SpU1nJmtfrZcaMGTJgYYLTWjMwMGAqh0KhEIsXL6aiooITJ06wa9cunn766YndTKmU2g48BqSAX2ut//HjntPY2KgPHz4sNRITjNaaaDTK5cuX6evrw+fzMW3aNPr6+njttdfM44ODgwB89rOf5dZbb6Wrq4udO3dmXU0WFxezZMkSKisriUajXLhwQa4mhRCTViKRIBKJZNXw9/f309TUhNvt5tChQ+zfv3/UxKff/OY3KSgoYP/+/Zw8edJMqur1eikpKWHhwoUopUilUjgcDikbJ5h4PE5vby8zZsyYuM2USqmVwOeAm7XWcaVU+bU8zxp1JsaPVZsViURMUhUMBqmvryeRSPDCCy/Q19eX1XnW6jjrdDrp6+ujtLSUyspKSkpK8Hq9ZjRgRUUF3/rWt8YsRDwejxmNJYQQk1F+fv6YUzMALFu2jGXLlpn+r/39/aYFATLTuBQVFRGJROjs7GRwcJD8/HwWLVoEwK5du7KStZKSEvx+v5k6pqenB6fTSXFxsfSRHkdut9tMzXIt7GrLeQR4RmsdB9BaX7QpDnEVWmueffZZ4vF41uMLFy6kvr7eDF0vLCw0iZbX6zUTPXo8HjONw5XIlZwQQmTk5eWZVoCRJ/FFixaZxAsyfdisVgbIzD1YXFxMX18ffX19nD17lkuXLplkbNeuXXz44YcEg0EeffTR8ftA4s9iSzOlUuoY8CrwGSAG/IPW+sgY+z4EPDR8dz5wYlyCFJYg0G13EDlGjvn4k2M+/uSYjz855uPvr7TW3o/b6brVjCml9gJXqqN7evh9y4DbgFuBnymlZukrZIZa653AzuHX/P21tL2KT44c8/Enx3z8yTEff3LMx58c8/GnlLqmmeqvWzKmtV491jal1CPAy8PJ12GlVJpMxh66XvEIIYQQQkxEdvXmewW4C0ApVQ/kI1WnQgghhMhBdnXg/wHwA6XUCSABbL1SE+UV7Ly+YYkrkGM+/uSYjz855uNPjvn4k2M+/q7pmE+qSV+FEEIIIaYamXRECCGEEMJGkowJIYQQQthoUiZjSqntSqlTSqlWpdQ/2x1PrlBK/YNSSiulgnbHMtUppZ5VSv1BKXVcKfVLpZTP7pimIqXUZ4bLkveVUk/aHU8uUEpVK6V+o5Q6OVyGP253TLlAKeVQSh1VSv3K7lhyhVLKp5R6abgsP6mUun2sfSddMvYnSynNA56zOaScoJSqBtYAH9kdS454E5ivtb4ZaAP+yeZ4phyllAP4V+BuoAG4VynVYG9UOSEFfF1rPZfMXJOPynEfF48DJ+0OIsc8D7yhtZ4DNHKV4z/pkjFkKSW7/H/gHwEZ8TEOtNZ7tNap4bv/A1TZGc8UtRR4X2t9WmudAH5K5kJPXEda6/Na63eGf+8jc4KqtDeqqU0pVQWsA/7d7lhyhVKqBGgC/gNAa53QWofH2n8yJmP1wB1KqUNKqbeVUrfaHdBUp5TaCJzVWrfYHUuO+jvgdbuDmIIqgY4R9zuRpGBcKaVqgUXAIXsjmfL+hczFdNruQHLILDIT2f9wuHn435VSRWPtbNc8Y1f1SS2lJK7dxxzzp4C14xvR1He1Y661fnV4n6fJNOv8eDxjyxFXWqleypFxopQqBn4BPKG1vmx3PFOVUmo9cFFr3ayUWmF3PDnECdwCbNdaH1JKPQ88CXxrrJ0nHFlKafyNdcyVUguAG4EWpRRkmsveUUot1Vp3jWOIU87VvucASqmtwHpglVxsXBedQPWI+1XAOZtiySlKKReZROzHWuuX7Y5nivtrYKNS6rNAAVCilPpPrfXf2BzXVNcJdGqtrVrfl8gkY1c0GZspZSmlcaS1fldrXa61rtVa15L5gt0iidj1pZT6DPBNYKPWetDueKaoI0CdUupGpVQ+cA+wy+aYpjyVuar7D+Ck1vr/2R3PVKe1/ietddVw+X0P8N+SiF1/w+fIDqXUXw0/tAp4b6z9J2TN2Mf4S5dSEmIy+R7gBt4crpH8H631w/aGNLVorVNKqceA/wIcwA+01q02h5UL/hr4W+BdpdSx4cee0lrvtjEmIa6H7cCPhy/2TgNfGWtHWQ5JCCGEEMJGk7GZUgghhBBiypBkTAghhBDCRpKMCSGEEELYSJIxIYQQQggbSTImhBBCCGEjScaEEDlJKVWtlDqjlPIP3y8bvn+D3bEJIXKLJGNCiJykte4AXgCeGX7oGWCn1vpD+6ISQuQimWdMCJGzhpflaSYzmfSDwCKtdcLeqIQQuWYyzsAvhBCfCK11Uin1DeANYK0kYkIIO0gzpRAi190NnAfm2x2IECI3STImhMhZSqmFwBrgNuDvlVIzbA5JCJGDJBkTQuQklVmB/QXgCa31R8CzwHP2RiWEyEWSjAkhctWDwEda6zeH7/8bMEcpdaeNMQkhcpCMphRCCCGEsJHUjAkhhBBC2EiSMSGEEEIIG0kyJoQQQghhI0nGhBBCCCFsJMmYEEIIIYSNJBkTQgghhLCRJGNCCCGEEDb6X2xGjV8SDDx0AAAAAElFTkSuQmCC\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def f(x, y):\n", " return x**2 - 6*y**2\n", "\n", "courbes_niveaux(f, [-6, 6], [-6, 6], (10,10))" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "affiche_3DXY(f, [-6, 6], [-6, 6])" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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6OrgSf5wIL8rKYcrko9FocOTIEWkbJEEQoFAo4PP5IIoiamtr5S6R6I4YxojuIS8vD1evXsXi4iLS09PlLofuIRyWohnGGMxjV1paGo4dOwan04m5uTm43W64XC5kZ2dLCzkTxRqGMaJ7CE/in5ycZBiLA9EOY0B0FpWlyBEEARaLBRaLRe5SiLaFc8aI7iErKwsKhYKT+OPEboQxDlUSUSQxjBHdg0qlQnZ2Nifxx4nd6owREUWK7GFMEASlIAjXBEF4R+5aiLaSm5uLyclJnhYfB9gZIwAIBoNYXl7m7yzFBdnDGIAfAOiRuwiiu8nLy9u0vQrFrmiGsfByGQxjsW9qagr//M//jJs3b8pdCtE9yRrGBEEoBHASwGty1kF0L7m5uQDAeWNxgJ0xAv74uxr+3SWKZXJ3xv4FwP8FILTVDQRB+K4gCFcFQbg6Ozu7e5URbRB+Q+e8sdgXDkrRWPSVYSx+TE5OQqfTwWw2y10K0T3JFsYEQXgOwIwoiq13u50oiq+KotgkimJTVlbWLlVHtJlGo0FGRgbDWBzwer1QKpVQqSK/cg/DWPyYmppCbm4u14OjuCBnZ+wQgBcEQRgG8F8AjgqC8EsZ6yG6q7y8PA5TxoForgHGMBYfQqEQpqenOURJcUO2MCaK4o9FUSwURbEYwNcAnBNF8c/kqofoXoxGI9xut9xl0D243W7o9fqoPLZSqYRarebrIMb5/X4Eg0GYTCa5SyHaFrnnjBERRZTL5YLBYIja46ekpMDlckXt8Yko+cREGBNF8bwois/JXQcRxT+Xy4WUlJSoPX5KSgrW1tai9vhElHxiIowRxQsuIBn71tbWotoZMxgM7IwRUUQxjBFtE8/Kin2iKGJtbY2dMQLA31mKHwxjRJQw3G43RFHclc4Yu6REFCkMY0SUMMLDh9HujAWDQW4WHsMYlCneMIwRUcIIDx9GM4yFu26cN0ZEkRJXYSwU2nLXJCIiKSBFe2kLAJw3RkR3tZP1CCO/X0gUTU9P4xe/+AVqa2uxZ8+eqB79Et0Jhz9i2250xsKPzc4YEd1qaWkJ3d3d6O7uxuLi4rbvF1dhzGg0wuVy4d1338V7772HkpIS1NbWoqamJmorbhOF8cys2LcbnTEOU8YP/s7SblhZWcH169fR3d2N0dFRAOvb5x06dGjbjxFXYcxkMuGv//qvMTMzIyXP3//+9zh16hRKS0tRW1uL6upq6HQ6uUslIhm4XC5otVoolcqoPQeHKYnI5XKhp6cH3d3dGB4eBgBkZ2fj6NGjqK2tRXp6+o4eL67CGLB+pJOTk4OcnBw88cQTmJqaQldXF7q7u/HWW2/hnXfeQXl5OWpra1FVVQWNRiN3yUS0S6K9xhgAqNVqqNVqdsZiGKcTUDS43W4pgA0NDUEURWRmZuKxxx5DbW0tsrKy7vux4y6MbSQIAvLy8pCXl4fjx49jfHxc6pjdvHkTKpUKFRUVqK2tRWVlJdRqtdwlE1EU7UYYA7jwK1Gy8Hg8uHnzJrq7uzEwMIBQKASLxYJDhw7BbrcjOzs7IsPhcR3GNhIEAYWFhSgsLMSJEycwOjqKrq4uXL9+HT09PVCr1aiqqkJtbS3Ky8uhUiXMX52I/sDlcsFisUT9ebglElHi8vl86O3tRVdXF/r7+xEMBmE2m/HQQw+htrYWeXl5EZ+PmJCJRBAEWK1WWK1WPP300xgZGUFXVxd6enrQ1dUFrVaL6upq1NbWorS0NKrzSyixcPgjtq2traGgoCDqz5OSkoLV1dWoPw8R7Q6/34/+/n50dXWht7cXgUAAJpMJTU1NsNvtKCgoiOoJIQkZxjZSKBQoKSlBSUkJnn32WQwNDaG7uxs3btxAe3s79Ho9ampqYLfbYbPZoFDE1dJrtIt4ZlZsE0URLpdrV4YpDQYDpqeno/489GD4O0t3EwwGMTAwIGUCn88Hg8GAxsZG2O12WK3WXXsNJXwY20ipVKK8vBzl5eU4efKk9J/Q2dmJL774AkajUQpmRUVF/EUmiiMejweiKO7anLHw/pR8nyCKH6FQCMPDw9JomcfjgU6nQ21tLex2O4qLi2VpyiRVGNtIpVKhqqoKVVVV8Pv96OvrQ1dXF65du4YrV64gJSUFZWVlKC8vR1lZWVTXLaL4sLa2xs5pDNuNNcbCwvtTer1eLqUTg8IBmSdZEACsrq6iv78f/f39GBgYgMfjgUajkaYrlZWVyT5dKWnD2EZqtRp79uzBnj174PV6cfPmTfT19aGvrw8dHR0QBAEFBQVSVy0/P59Hw0lmaWkJHR0dqKurk7sU2kJ4teu0tLSoP5fZbAYAOJ1O5ObmRv35aGd0Oh1KS0tx5coVPPzwwwzMSSYUCmF0dFQKYFNTUwDWF46vrq5GRUUFKioqYmqFBYaxW2i1WtTX16O+vh6hUAgTExPo6+tDf38/zp8/j/Pnz8NgMEjBjF2z5PDRRx9BEAQ8/vjjcpdCW1hYWACAHS+2eD/Cz7GwsMAwFqOOHz+OV199FZ988gmOHz8udzkUZSsrK5u6X16vF4IgoKioCEePHkVFRQVycnJitpHCMHYXCoVCWi7jiSeegMvlwsDAgPQf3tHRAQAoKChAWVkZysrKUFBQIHu7kyJramoK7e3teOSRR6SOCMWexcVFqNXqXZkzFl4+Yyd7z9HuysvLQ11dHS5duoQDBw4gNTVV7pIoggKBABwOBwYGBjAwMCCdUGMymVBTU4OKigqUlpbGTVeUYWwHUlJSNnXNJicn0dfXh4GBAXz88ce4cOECNBoNSkpKUFpairKyMqSnp8dsEqftOXv2LHQ6HQ4fPix3KXQXi4uLu/b7ptPpYDAYpG4cxaajR4/i+vXr+Oijj/ClL31J7nLoAYiiiJmZGQwODmJgYAAjIyMIBAJQKBQoKirCsWPHUFFREbFFWHcbw9h9UigUKCgoQEFBAR5//HF4PB4MDQ1JKf3mzZsA1ueWhLtmJSUl3NA8zgwNDaG/vx9PPvkk/+9i3MLCwgNtR7JTFouFnbEYl5aWhubmZly6dAkPP/wwsrOz5S6JdmB1dRWDg4NSAAuv7ZeZmYn9+/ejtLQUxcXFCbHtIcNYhOh0OtTU1KCmpgbA+gfDwMAABgcH0d3djS+++AKCICA/P1/qmhUWFnJIM4aJoogzZ87AbDbjwIEDcpdDdxEKhbC4uIjKyspde8709HQ4HI5dez66P48++iiuXbuGs2fP4utf/7rc5dBdbDX0qNfrUVZWJn12JuKQM8NYlKSnpyM9PR3Nzc0IhUIYHx+Xwtknn3yCjz/+GBqNBsXFxVLnjEOasaW7uxuTk5N48cUXuX1WjFtZWUEwGNyVrZDCLBYLurq6EAgE+PqIYQaDAYcPH8bZs2cxMjICm80md0n0B+Ghx/Bn48ahR6vVimPHjqG0tDQq2w/FGr6D7ILwmHZRUdFtQ5qDg4Po7e0FsD6kWVpaKrVejUajzJUnr0AggLNnzyInJwf19fVyl0P3sJtnUoalp6dDFEU4nU5kZmbu2vPSzh08eBCXL1/GmTNn8PLLLyf8B3ssW15extDQkDT8GB56zMrKwv79+1FWVgabzZYQQ487wTAmgzsNaYZfmNevX8e1a9cAANnZ2SguLkZJSQmKi4vj5qyQRHD16lU4nU5885vf5Bt3HJArjAHrJw4wjMU2tVqNJ554Am+//TauX7+O2tpauUtKGi6XC8PDwxgaGsLQ0JD0u2owGKRhx9LS0oQcetwJhrEYEB7SbGpqks7SDL9wv/jiC1y+fBmCICAvL0/aZ7OoqCjpjhx2i8fjwYULF1BSUoKysjK5y6FtWFxchEKh2NU39PCQKM+ojA8NDQ34/PPPce7cOVRXV3O+bpR4PB6MjIxIn2EzMzMAIE3LaW5uRklJSdye9RgtDGMxZuNZmocPH0YgEMD4+Lj0wv7888/x6aefSmughcMZTwaInE8//RRutxvHjx/nm0WcWFhYgMVi2dXtqlJSUqDRaBjG4oRCocDx48fxxhtvoLW1lSflRIjf74fD4cDQ0BCGh4cxMTEBURShUqlgtVpht9tRUlKC/Px8bid3FwxjMU6lUsFms8Fms+Hxxx+Hz+fD6OgoBgcHMTw8jJaWFrS0tEi3Cw9r5uXl8YV/H5aXl3Hx4kXY7Xbk5+fLXQ5tU3iNsd0kCAKXt4gzFRUVsNlsaGlpQUNDA7RardwlxZ1gMLipQTA2NoZgMCg1Eh599FGpQcATW7aP/1JxRqPRSGdfAoDb7d7UEj579iyA9W2diouLYbPZYLVaGc62IRAI4IMPPkAoFMLRo0flLoe2SRRFLCwswGq17vpzp6enS8MwFPsEQcCTTz6J1157DefOncNTTz3F98V7CAQCmJiYgMPhwPDwMBwOB/x+P4D1XQ4OHjyIkpISWK1WTp15AAxjcU6v16O6uhrV1dUA1hfJ2zhZMrz4rFqtRmFhIaxWK6xWKwoLC/mL8weiKKKnpwdnzpyB0+nEkSNHdnWJBHowa2tr8Pl8svyfWSwW9Pb2IhQK8UM9ThQUFGDv3r24fPkyhoeH8dRTT6G0tFTusmKGx+PB6OgoHA4HHA4HxsfHEQwGAawvttrY2CidVMaFsCOHYSzBGI1G2O122O12AOvDbuFfKofDgZaWFgCQTggIhzOr1bore/rFmsnJSZw+fRojIyPIzs7Gn//5n/ONOc7IcSZlWHp6OoLBIJaXl5GWlrbrz0/35/nnn0dFRQU++OAD/Md//AcqKytx4sQJZGRkyF3arltZWcHIyIj0GRFeaDW8SHlzczNsNhuKioqS8jNitzCMJbjU1NRN4ezWo54rV67g4sWLAICMjAwpmNlsNqSlpcXlBPZAIABRFKFWq7e8jcvlwtmzZ3Ht2jUYDAacPHkS+/btY3cjDskZxjZuGM4wFj8EQZA2k7548SI+/vhj/PSnP8WBAwfw2GOPJewyQqIoYn5+HiMjIxgdHcXIyAicTieA9dGToqIiPPbYY7DZbCgoKODoyS5iGEsyOp0OFRUVqKioALB5PsDo6Ch6enqkdc6MRqN0RGSz2ZCdnS17WFlYWMDi4iLMZvNtazvNzs7igw8+QH9/P06cOIGDBw9uWa/P50N3dzcefvhhHDlyJGHffJNBeAK9HGEoHAAXFhZQUlKy689PD0alUuHw4cNobGzEuXPncPHiRXR0dOCJJ55IiIOzYDCIqakpKXw5HA6sra0BWF/ny2az4cCBA7DZbMjJyeEZ+TJiGEty4dOPw5OfRVHE7OzspiOn7u5u6bZZWVnIyspCZmYmMjMzkZaWBrPZDL1eH/UumsPhwLlz5wCsH8U9+eSTmzb+1Wg0eOqpp5CVlQWFQoFAILDlkZ3FYsEPf/hDhrAEsLCwALPZLMuZW6mpqVAoFFzeIs4ZjUa88MILaG5uxunTp3Hq1ClcuXIFjz/+eMxP4RBFEWtra3A6nXA6nZibm8Pc3BxmZ2cxNzcnzfeyWCyorKyUDq65/V5sYRijTQRBQHZ2NrKzs9Hc3AwAWFpawsjICCYmJjA3N4fh4WF0dHRsup9arUZaWpoUzsxms/R1WloajEbjA//inz9/Hk1NTbDb7Th9+jSuX7+O1NRUKVCZTCYoFAoYjUa43W7pTWgrDGKJYWZmRra5PgqFAhkZGZidnZXl+Smy8vLy8O1vf1s6oefXv/41gPWt6vLz85GXl4eCggLk5eXt2uT1UCiElZUVLC0twel03vHPQCCw6T5paWnIyspCaWkpCgoKYLVaYTKZdqVeuj8MY3RPZrMZ9fX1m/Zo9Hq9WFhYkI7GlpaWpDeHsbExuN3uTY+hVCqRmpoqBbRwR0GhUEAQBCgUCmRlZUnDp7fy+XxITU2V1gWqqalBd3c35ubmUFhYCFEUpbCn0+ngcrnuGcYo/q2trWF6ehqPP/64bDVYrVZ0dnYiGAxymCcBCIKAPXv2oLKyEmNjY5iYmMDk5CQmJibQ09Mj3c5isSA/Px/5+fnSlIlQKARRFG/7804/2+o24RNCwu+ry8vLCIVCm2o0GAxIS0tDdnY2KioqNh0IZ2Rk3HW+LMUmhjG6L1qtFnl5ecjLy7vj9V6vd8sjuf7+fmlz2I3q6+u3DGPBYBA6nU4KWAaDAYJ0uqCdAAAgAElEQVQgwOVy3XZbvV4Pv98vrYVDiWtoaAgAZD0DtrS0FK2trZiYmEBRUZFsdVBkqVQqFBcXo7i4WPqZ2+2WgtnExATGxsakaRyRZDKZkJaWhqKiottGGsxmMyfWJyCGMYoKrVYrDXfeyZ2OFu82WVapVEKlUkmTTxUKBdRq9R0Dl8FgQCgUkjplXAMqcQ0NDUGj0ci6W0L4w3pwcJBhLMHp9XqUlpZuCv8ulwtOpxOCIEiXjR3/jX9u9zrO5Uo+DGMki41vPtuhVquRkpKCiYkJ7Nu3T1p1vbGxUXo8URQBrA9Trq2tYWRkBF6vFzk5OZuGMSlxDA0NwWazyTo8aDAYkJubi6GhITz22GOy1UHySElJiekJ/hQf2C6guCAIAqxWK6ampuBwONDT0wOVSoXU1FRcvXoVU1NTEAQB169fx89//nNMTEzgk08+wdWrV+UunaJkaWkJCwsLMbFIb0lJCcbGxjg0TkT3hZ0xihv5+fl4/PHHcebMGVgsFhw6dAgqlQo5OTlITU0FAFRVVeHHP/7xbfdlVyzxDA4OAkBMrO9VWlqKzz//HA6HQ9o3lohouxjGKG4IgoDy8nKUl5dv+vnGeTo8my15DA0NISUlZct5ibvJarVCoVBgcHCQYYyIdozDlEQUd0RRxNDQEEpKSmKi66nRaFBUVCSd3UlEtBMMY0QUd+bm5rC6uhoTQ5RhJSUlmJycvG2NPSKie2EYI6K4E0vzxcLCtbA7RkQ7xTBGRHFnaGgIaWlpsFgscpciKSgogEajYRgjoh1jGCOiuBIKhTA8PBxTXTFg/eQRm83GMEZEO8YwRkRxZWJiAl6vNybWF7tVSUkJ5ufnsby8LHcpRBRHGMaIKK6EO0+x1hkD/lhTeE4bEdF2MIwRUVwZGhpCTk5OTG5Bk5OTA4PBwKFKItoRhjEiiht+vx8OhyMmu2LA+sLEJSUlGBwclPZKJSK6F4YxIoobo6OjCAaDMRvGgPWhytXVVczNzcldChHFCYYxIoobg4ODUCgUsNlscpeyJc4bI6KdYhgjorjgcrnQ2tqK0tJSaLVaucvZksViQXZ2Ni5evAi/3y93OUQUBxjGiCgunDlzBj6fDydOnJC7lLsSBAHPPPMMnE4nLly4IHc5RBQHGMaIKOaNjIygvb0dDz/8MLKysuQu556Ki4tRX1+Pzz77DLOzs3KXQ0QxjmGMiGJaMBjEqVOnYDab8dhjj8ldzradOHECGo0G7777Ls+sJKK7Yhgjoph28eJFzM7O4plnnoFarZa7nG1LSUnBsWPHMDw8jM7OTrnLIaIYxjBGRDHL6XSipaUFVVVVqKqqkrucHdu/fz8KCgrwwQcfwO12y10OEcUohjEiilnvv/8+AOCZZ56RuZL7IwgCTp48ibW1NZw7d07ucogoRjGMEVFMunnzJm7evInHHnsMZrNZ7nLuW15eHpqbm3H16lWMj4/LXQ4RxSCGMSKKOT6fD++99x6ysrLw0EMPyV3OAzt69CiMRiNOnTqFUCgkdzlEFGMYxogo5ly4cAFLS0s4efIklEql3OU8MK1Wi6eeegqTk5O4cuWK3OUQUYxhGCOimDI7O4vPP/8cjY2NMb3t0U7V1taitLQUH330EVZWVuQuh4hiCMMYEcUMURRx6tQpaDQaHD9+XO5yIkoQBDz77LMIBAL44IMP5C6HiGIIwxgRxYyOjg6MjIzg+PHjSElJkbuciMvIyMDhw4fR1dXFjcSJSMIwRkQxQRRFtLS0ID8/H/v27ZO7nKg5fPgwzGYzWlpa5C6FiGIEwxgRxYS+vj4sLi7i4YcfhiAIcpcTNSqVCgcPHoTD4cDk5KTc5RBRDGAYI6KYcOnSJZhMJtTU1MhdStTt3bsXarUaly9flrsUIooBDGNEJLvZ2VkMDg6iubk5IZayuBedToeGhgZ0dnbC5XLJXQ4RyYxhjIhkd+nSJSiVyoSeK3argwcPIhgMorW1Ve5SiEhmDGNEJKvh4WF0dHSgrq4uIc+g3EpmZibKyspw+fJlzh0jSnIMY0QkC7/fj/fffx+vv/46TCYTjhw5IndJu+7YsWMQBAGvvfYaWlpaEAwG5S6JiGQgiKIodw3b1tTUJF69elXuMojoAY2NjeHNN9/E/Pw8mpubcfz4cWg0GrnLkoXb7cZ7772Hzs5O5Ofn48UXX0RWVpbcZRFRBAiC0CqKYtM9b8cwRkS7JRAIoKWlBZ9++ilSU1PxwgsvoLS0VO6yYsL169dx6tQpeL1eHD16FA899BAUCg5eEMWz7YYx1W4UQ0Q0NTWFN998E9PT02hsbMRTTz0FnU4nd1kxY8+ePbBarXjnnXdw5swZ3Lx5E1/60peQnp4ud2lEFGXsjBFRVIVCIXzyySdoaWmBwWDA888/j8rKSrnLilmiKKKjowPvvfceQqEQnnzySTQ1NSX0QrhEiYqdMSKS3dzcHH73u99hYmICdrsdzzzzDAwGg9xlxTRBENDQ0ICSkhK8/fbbePfdd3Hjxg288MILMJvNcpdHRFHAzhgRRZwoirh48SLOnTsHtVqNkydPora2Vu6y4o4oimhtbcUHH3wAhUKBp59+Gg0NDeySEcUJdsaISBaLi4t46623MDIygsrKSjz//PMwGo1ylxWXBEFAU1MTysrK8Oabb+Ktt97CjRs38Nxzz/HflCiBsDNGRBHBLk50hUIhXLp0CWfPnoVGo2G3kSgOxHxnTBCEIgD/H4BcACEAr4qi+K9y1UNE9295eRlvv/02BgYGUFpayvlNUaBQKPDwww+jvLwcb775Jn7zm9/gxo0bePbZZ6HX6+Uuj4gegGydMUEQ8gDkiaL4hSAIJgCtAF4URfH6VvdhZ4wotvh8PnR0dODDDz/kmX+76NYzVE+cOIGamhqoVJx5QhRLYr4zJoriJIDJP3y9IghCD4ACAFuGMSKSnyiKGBkZQXt7O65fvw6fz4eioiK8+OKLXBNrlygUChw5cgSVlZX43e9+h9/+9rfQ6/Ww2+1oaGhAfn4+AzFRHImJOWOCIBQDuADALori8i3XfRfAdwHAarXuHxkZ2fX6iGh9Yn57ezva29vhdDqh0WiwZ88eNDY2wmq18sNfJqFQCIODg2hvb8eNGzcQCASQlZWFhoYG1NfXw2QyyV0iUdKKm+2QBEEwAmgB8PeiKP72brflMCXR7vJ6vbh+/Tra29sRPhAqLS1FQ0MDqqurk3Y/yVjl8XjQ3d2N9vZ2jI6OQhAElJWVoaGhAVVVVVCr1XKXSJRU4iKMCYKgBvAOgNOiKP7TvW7PMEYUfaIoYmhoCO3t7ejp6YHf70d6ejoaGxtRX1/PiflxYn5+XupkLi8vQ6vVora2Fo2NjSgsLGQnk2gXxHwYE9bfCV4HsCCK4t9u5z4MY0TRMz8/j7a2NnR0dPDDO4FsFa4bGhrQ0NDAcE0URfEQxg4D+BhAJ9aXtgCA/1sUxXe3ug/DGFFkeTwedHV1ob29HWNjYxzWSnB3GnYuKSlBY2Mjh52JoiDmw9j9YBgjejCiKMLlcmFiYgIdHR24ceMGgsEgJ3wnoa1OyKirq0Nubi70ej27oUQPiGGMKIn4/X6srq5idXUVKysr0td3uoR/58NLITQ2NiIvL48fvElKFEU4HA60tbVJS5UA68tnGI1GGI1GmEwmpKSkSF+Hfx6+cH0zojtjGCOKU6Iowuv1wuPxSBev1wu3271lwPJ6vbc9jiAImz5Aw18bjUZkZWXBarXyQ5Q28fl8GBkZwfz8/B1fZy6X64730+l0twW08EWn09120Wg0DP+UFGJ+0VeiRCOKIgKBAHw+H/x+P/x+P3w+322h6k5fb/z+TsFqI41GIwWs3NxcpKSk3LFbYTAYoFAodulvT4lAo9GgoqICFRUVd7w+FArB5XJtCmjhTqzL5cLKygrGx8exuroKv99/1+fS6XTQarWbQtrG7+90nUajgUajgVqthlqthkqlYqijmDA0NIT3338ffr8fe/fuxeHDh3f02mQYo4QVCoUQCAQQDAYRCAS2/XU4SG0MVLeGrPDPb73tdgiCcNuHTXp6uvT9Vh9Qer0eKSkpnGRNslEoFDCZTPecVyiKInw+H1ZXV+954BH+mdPp3PT9doWD2caQdqfv7/RzpVIJlUoFlUq17a95gEN38s477+DrX/86MjIy8Oqrr6KyshI5OTnbvj/DWJITRRGiKCIUCiEUCklfb/VnpC7BYFD6c6uvt7r+TtfdKVRFYgh+qzdxg8GAtLS0u77Rh7+/dYhGrVbzaJ4SmiAI0Gq10Gq193X/cJi7NcCFD4Bu7T7felAUnkN5p4OqB6VQKO4Y1sJBTalU3vb1xu+3us2tX0fyIgjCbV/f6U++L92fiYkJWCwWpKenQxAE2O129Pb2Ijs7e9uPEVdhzO12o62tTfqQDQeJSH0die+3e912L+Eg9CA/u9ufseJeb1S3fh9+8wv/fCdHtvf6WqVSQaPRcAiESCYbw1wk10ETRXFTQNtp13zj1+Hvwz+79SAxEAjA6/Vu62Ay1t6LtwpsG0Pbxsudfr7dn+30AmDb10Xqe6VSiQMHDmz5b7aysoLU1FTpPqmpqRgdHd3Rv3tchbHFxUW89dZbu/Jc9/MfF8kX1p2OWHbygg8/7r2OhHZy1HQ/R2RbHeWFX+Dh6xl6iCjaBEGQ5p3FkvDB8a0BLVKXnYx+3G1UJBKNg2AwuK1GRPjfZaeXW++31fc7odFo7hrGIjEKE1dhLCcnB9///vfvGGTu9PW9rr/XfYmIiKJt48Ep7Y6djJLdi8lkwvLyspQdlpeXYTKZdpQl4iqMKZVKWCwWucsgIiKiOBbJ5kt+fj4WFhbgdDphNpvR1dWFL3/5yzt6jLgKY0RERESxRBAEPPPMM/jlL3+JUCiExsZGZGdn4/z589t+DIYxIiIiogcQXp9PFEWp2/bYY49t+/5cMIWIiIgoAjYOe+5kCJRhjIiIiEhGDGNEREREMmIYIyIiIpIRwxgRERGRjBjGiIiIiGTEMEZEREQkI4YxIiIiIhkxjBERERHJiGGMiIiISEYMY0REREQy4t6URElIFEUEg0H4/X74fD6Iooi0tDQAwNDQEFZXV+Hz+aTrU1NT0djYCAB4++23sbKyAp/PJ13Kysrw7LPPAgD+67/+C4FAACqVSrrYbDbs3bsXANDS0gKFQgGVSgW1Wg2VSoXs7Gzk5+dDFEWMjY3BZDLBZDJBqVTK8w8UJYFAACsrK1hZWYHX60UgEAAA1NTUAABu3ryJmZkZBAIB6aLRaHDs2DEAwEcffYSxsbFN15vNZnzjG98AALz33ntYWFiARqORLunp6Th48KD0+H6/f9P1BoNB+r8PhUJQKHiMTrTbGMaIEowoinC73VheXsbS0hKWl5cBAM3NzQCAN954AwMDAwgGg9J9CgsL8fLLLwMA3n//fczMzGx6zLKyMimMLS8vw+12Q6PRIDU1FRqNBhkZGdJtg8EgvF4vXC4X/H4/AoEADAaDVNv58+dvq/mhhx5Cfn4+/H4/fv7zn0s/NxgMSE1NxYEDB7B37174/X50dnbCZDIhNTUVJpMJer1+R3vARZPT6cTMzAyWl5el0OVyufC1r30NgiDg1KlTaGtr23QfjUYjhbGuri50dXUBgBRkzWazFMY8Hg98Ph9UKhUMBoN0fVgwGMTa2hqcTqcUlHNzc6UwdvbsWczOzm56/rKyMvzZn/0ZAOAnP/kJXC4XUlNTkZqaCrPZjOLiYun/fm5uDkajEVqtNmb+zYkSgSCKotw1bFtTU5N49epVucsgkpXP54PT6dwUtrxeL55++mkAwK9//Wv09PRsuo/ZbMbf/u3fAgA+++wzuFwu6HQ6qTtiMplQXl4OYP0DF4B0nVqtjmiHKtyV29jdUavVSElJQSgUwsDAgBRkwqGmvr4edrsds7Oz+OlPf7rp8ZRKJZ577jk0NjZiaWkJFy9elMJaSkoKBEFAdnY2DAYD1tbWbguaAJCTkwO9Xo/V1VXp779RXl4etFotpqen0d/fj+XlZayurkr1fec730FKSgo++ugjXLhwQbqf0WiEyWTCSy+9BI1Gg+HhYSwuLiI1NRVarVYKXJmZmQAAv98PQRCgVCqjEnZWVlbg8XikjqfP54NOp4PVagUAXLx4EUtLS1hZWZFeW+Xl5Xj++echiiL+/u//HsFgUAriZrMZdrsdjY2NEEURg4ODMJvNUkgnSnaCILSKoth0r9uxM0YUg0RRhNPpxPT0NKanpzE3N4cvf/nLUCgU+PDDD3HlypVNt09NTcWJEyegUChgt9tRVFQkfSiazWakpKRIt33kkUfu+tzhYBAtgiBIIeRWCoUCFRUVW943IyMDP/jBDzYFtZWVFWRlZQEAlpaW0NraCr/fv+l+X/va11BVVYWxsTG88cYbtz3ut771LZSUlGBoaAi//e1vb7v+O9/5DvLz8zE2NoYPP/xQCiMmkwk2mw3hg9rGxkZUVFRIQfDWEFtcXIzi4uIt/35qtXrL6yIhPPy7lYceeui2n4X/bqIo4stf/rIU0sIHA263GwDgcrnwy1/+UrqfTqeD2WzGoUOHUFdXh2AwiNXVVaSmprKrRnQLdsaIZOZ2uzE9PY38/HxoNBp88cUXOH36NHw+n3Qbi8WCv/iLv4DJZMLY2BicTqcUtIxGY8LNrXoQoijC6/VieXkZa2trABCxzlh4fp1Wq4363yPeBAIBjI+PS2FtaWkJS0tL2LdvH6qrqzExMYGf/exn0Gq1yMnJQXZ2NnJyclBZWYnU1FS5yyeKiu12xhjGiHbZwsICWltbMTMzg+npaaysrAD4Y3fG4XCgu7tb+rDKzs7mkA/FvdXVVfT09Eiv+5mZGXi9Xul1Pzg4iEuXLm163WdkZPBAg+IahymJZOTz+TA6OoqJiQnpw+fIkSOw2+1wu924dOkSsrKyUFJSIn345OXlAQCsVqs0h4coURiNRukkEmC9g7m8vCyd3OH1erG4uIj+/n6EQiEA6/MBX3nlFVgsFkxNTcHj8aCgoCDqw7lEu41hjCgC1tbW4PP5kJaWhtXVVfzTP/2TNNcmLS0N2dnZ0Ol0ANaHvH784x/ziJ+SmiAIm84ErampQU1NDQKBAObn56XuWfg2V69eRWtrK5RKJfLz82G1WmGz2VBeXs45aBT3OExJdB+WlpYwMjKCkZEROBwOzM3NwW634ytf+QoA4OOPP0Z+fj4KCgqkEEZE98/tdmN0dFT6nZuYmEBqaip+8IMfAACuXbsGjUYDm80Go9Eoc7VE6zhMSRQhoihibm4Oi4uLqKysBLC+Vtf09DS0Wi2sVisaGhpQWloq3efRRx+Vq1yihKTX61FZWSn9Dvr9fiwtLUnXf/zxx1hcXAQApKenw2q1oqamRro9USxjGKOENjk5iba2NoiiiL1790rzsu5ldnYW/f39cDgccDgcWFtbg0ajwY9+9CMoFAo8/fTT0Ol0yM7O5orlRDJQq9WblmF55ZVXMDU1JXXObt68Ca1Wi8rKSgSDQbz11lsoLCyEzWZDdnY2hzYppjCMUcL64osvcOXKFdTV1UEURbS0tOCRRx7Z1uT4zs5OfPzxx7BYLKioqIDNZoPVapXewO+2VhQR7T6lUomCggIUFBTgkUcegSiK0npzy8vLGB4eRmdnJ4D1NdBsNhsOHz6MwsJCOcsmAsAwRgmsuLgYRUVFyMrKgiiKOHXqlLRA5b0cOHAAzc3Nd10gk4hilyAI0pIwFosFP/zhD+F0OuFwODAyMoLBwUFpb9CxsTF0d3ejvLwcNpvtjgsSE0UTX3EUt3w+H1pbW7G6uoqmpiZYLJZN16enpwOAtGn1/Pw8ysrKAKzPA7vbMAUnABMlFkEQYLFYYLFY0NDQgI0nr01PT+PKlSu4ePEiVCoVSkpKUF5ejr1793IZDdoVDGMUt95//334fD4UFhbiN7/5DV588UVpW5yNVCoVZmdnpVPiAXC+yH0Ib2ezsrKC1dVVZGdnIz09HXNzc7h8+bK0PdDGTabZYYis8M4CaWlpUKvVcDgc6OzsRCgUkvbBNJlMKCkp4ULB97DxPWD//v2or6/H8PAw+vr60N/fj9HRUTQ1rZ8E19PTA5VKheLiYoYzigq+U1JccrvdcLlcePbZZ2E2m+F0OtHa2irtz3irvr4+pKenb1rXiNaFQiFMTk7C5XJhbW1NuhQXF6O8vBxOpxM/+9nPpK2Fwp5++mkcPHgQgiCgs7MTHo9n0/Vf+cpXYLfbMT4+jo8++ggmkwk6nQ46nQ5arRZ79uxBamoq1tbWsLS0BK1WK12fLCdF+Hw+zM3NwePxwOPxwOv1wuPxoLq6GhaLBQ6HA+fPn5f24gxvkfXyyy+jsLAQCwsL6O7uhkKhgMvlkh73Bz/4ATQaDT777DN89tlnUkgzGo0wGAw4cuQINBoNFhYW4PF4YDAYYDAYkjrAqdVqVFRUSHujulwu6XV44cIFTE1NQaVSwWazoba2Fna7ncGMIoZhjOKS0+mEyWSSPpz279+PM2fOYGFhAZmZmdIwZPjP6elpHDp0CIuLixgaGkJpaSnS0tJk/lvsnlAohJmZGens0PHxcdTW1uL48eMIBoN47bXXNt1eqVRCo9GgvLwcBoMBNTU1mzovRqNRGgbOyMjAj370I/h8Pik0LC8vo6ioCMD6EgRutxszMzPweDzSpOr8/Hykpqair68Pb7755qbnTk9Px1e/+lVkZWXB6XTC5XIhMzMz7vaEDAQCmJycxPz8PObm5qTLsWPHUFNTg4mJCbz++uu33S8tLQ0WiwWCIMDv9yMrKwtlZWVS5zE8JN/Q0IDGxkYA651Ll8uFlZUVaa5jVlYWKisrpY7m5OQk1tbW8PjjjwMALl68uGnTeZVKBbPZjL/6q7+CWq2G2+2GTqdLyk5ySkqK9PXLL7+MkZER9Pf3o7e3F2+//TaGhobwJ3/yJzJWSImEi75SXFpbW8Nbb72FRx99VDob6o033sDevXtRXV296bY9PT34n//5H+Tn5yMUCqGurg779+9P6C5AOBhlZGRAFEX8y7/8C5aXlwEAqampKCoqQnV1Nex2OwCgt7dX6o6kpKRAo9FE7QM4FArB6/VCo9FAqVRieXkZExMTUmdoeXkZ8/PzeOGFF2AwGNDS0oLz588DWJ/Ll5mZiczMTDz55JPQaDTw+XxQq9WyBYZQKASn04m5uTkpdJWVlWHPnj1YXFzET37yEwCAQqFARkYGMjMz0dzcjJKSErjdbjgcjk1dQa1WC61WG7Xu4Mb5kuF6N3ZFA4EAnn32WQDAr371K4yNjaGoqAhFRUWwWq3Iz89P6uFnURQxOjoKjUaD3NxczM/P480338SBAwewZ88e7qxBm3DRV0poBoMBaWlpGB8fR3p6OgwGA7KystDf34/q6mr4fD709PSgoaEBer0e9fX1eOSRR5CdnS136VHhcrmkrtfo6CgmJyeRmZmJ733vexAEAYcOHYJer4fVar3jUO1uLoypUCig1+ul78NzzLbS2NiInJycTWHnxo0bUmA4ffo0Ojo6pKCTmZmJrKws1NbWAljvzIX3OgzbeKadz+fDrQelCoVCGoIKXx8KhbCwsID5+Xno9XpUVFQgGAziH/7hH6Sz8oD112a4a2g2m/G1r30NWVlZSEtLuy1g6fV6VFVV7ejf70FtDK0ZGRnIyMjY8rb19fVISUnB6Ogoent7Aayfpfztb38bAOBwOJCVlbXp/zPRCYKwaXmc1dVVuN1u/Pa3v8UHH3yApqYmNDU1beqsEd0LwxjFHY/Hg56eHiwuLkKj0WBgYAB1dXWwWCzSitxqtRpjY2Ow2+0oLi5OqHXBRFHE/Pw8xsfHUV9fD0EQcPr0aXR2dkKlUknrLNlsNuk+Bw4ckLHiB2M2m+8616+yshIajQbz8/OYmJhAd3c3LBaLFMb+8z//EyMjI5vuk5eXh+9+97sAgF/84heYnJzcdL3NZsNLL70EAPj3f/93LCws3PacFRUVUCqVePTRR2EymZCZmYmMjAxp42tgPdTtdtiKJLvdLnVPXS4XRkdHpUDp9/vx+uuvIxQKISsrS9rgvri4+K7hOtHYbDa88sor6O/vx6VLl3D+/Hl8/vnn+Lu/+zvOKaNt4zAlxZVQKISWlhYsLS2hrq4OoVAIn332GdRqNWZnZ/GNb3zjjmdUxrvl5WV0dXVhdHRU2hEAAL7//e/DYrFgamoKgUAAeXl5ST9MEggEsLq6Ks0J7OrqkoZow4xGI+rr6wEA7e3tmya/A+vdunAIuXbtGtxut7Q0QmZmJiwWS9L/O4dCoU3d2NHRUXi9Xhw/fhyHDh3C2toaurq6UFtbm1Rdorm5OUxMTEivr3fffRfFxcWorq5OmhNT6I+2O0zJMEZxb2xsDC6XC+Xl5Qn1ARkeGlMqlejo6MDvfvc7ac+98PydjIyMpJxcTbEnFAphdnYWBoMBJpMJvb29eOONN6BUKlFbW4vm5mYUFBQk1et1bW0NP/vZz+B0OmE2m9Hc3Ix9+/Yl1bBusmMYo7g0MTGB3Nzcex5BiqIIURQT8kjT4/Ggvb0dV69eRUNDAw4fPoxAIICVlZXbFraNFLfbje7uboiiiObm5qg8ByWf2dlZXL16FW1tbfD5fMjNzcW3vvWtpAojoVAIvb29uHTpEoaHh6FSqfDNb34zoaZO0NY4gZ/iRjAYRE9PDy5duoSxsTF89atfxZ49e+56H0EQEu4Ie2ZmBpcvX0ZHRwf8fj8KCgqkjZBVKlVUgpjL5cKpU6cwPz+P7Oxs1NXVbfu+oVAIc3NzGB8fh8/ng1KphNlsltZpGhgYQDAYhEKhgFKphFKpREpKijRhfGFhAYIgSNeFJ80nw5l6oVAIgUAAwWAQwWAQoVAIer0earUaHo8Hi4uLm64LBoMoKCiAXq/H4uIiHA7HpuvCJxTEWsjJysrCM5TLASMAACAASURBVM88g6NHj6KjowOjo6PQ6XQAgOvXryM3N1c62SFRKRQKVFdXo7q6GtPT07h69aq0+HRvby9EUURlZWXCvZ/RziT+ux7FrEAggM8//xxXrlzBysoK0tPT8fTTT0tbFiWDjcsMnDlzBkNDQ6irq0Nzc7P0hh1Ner0ey8vLOHny5LY2UN/otddeu23ie1lZmRTGfv/730snVITV1NTgT//0T6X737pXaENDA1588UUAwCeffILs7GwUFhZumhQfj1ZXV6FUKqHX6zE0NIRf/epXm87ABIBvfOMbqKiowPDwMP77v//7tsd46aWXYLPZ4HA4Nq3LFva9730Per0eAwMDGBkZkTbNjoWtvbRaLZqbm6WuayAQwNtvvw2v14uKigo0NzejvLw84QNJTk4OTp48KX1/8eJFDA0NwWKx4MCBA9i7d2/craVHkcFhStp1Pp8PGo0Goiji3/7t35CWloYDBw6goqIi4d+Mw1ZWVtDa2opr167hL//yL2E2m7GwsACdThfx4DE6Oor+/n7U19dvWsYgHATfe+89mM1mac2k4uLibZ0E0d7eDkEQkJ+fD4PBIHXBwpO1Z2dn4ff7pQ5PMBiEwWBAXl4eAKC7u1u6PtzhyczMRHl5OVwuF/7xH/9RWnIiIyMDhYWF2Lt376azRGNReEeDsbEx6eJ0OqUdC1ZWVvDpp5/CZDJJXUGlUomysjKYzWasrKxgfHx803UKhQLZ2dnQarXwer1wuVybrltdXUVmZiYUCgUuXLiA8+fPS/92qampKCgowFe+8hUolcp77su6W5aXl9Ha2oovvvgCq6ursFgseO6551BaWip3absmPCpw+fJlae2yo0eP4uDBg3KXRhHCOWMUc5xOJ1paWtDf34+/+Zu/gVarlYJZMhBFEQ6HA1euXEFPTw9CoRDKy8tx4sSJqJ0B2traira2NuTn52NlZQXV1dWor6/fNOeut7cX77//vnSm4Pz8PPbt23fPoeJo8/l8mJiYkALN6OgonnrqKdTX12NmZgbvvfceCgsLpYtcZ+ytrKxgbGwM/z977x0c1Z3naz/drYwyklBGGYQESiiRTLIBgzE5yRgbT/B6wtZO7a2ZvVt1/7hpa+fena2tO7Mz13dsBptkg00w2JgcJFAAFAiSUEBSS60cWq3U6Zz3D719Fg3YRqjVLejzVKmMdXTO+anVfc7nfMPn6+zsTFxcHHq9nn/+539GFEW8vLyIiIggPDyc+Ph4Ke082RiNRlpbW2lpaUGj0aDT6SSrjqNHj9LV1SVFzsLCwggKCrJb/aXZbKaqqoqSkhJef/11goKCJCFvi+jwVKGlpYXi4mJmzZrFnDlz0Ov1GI3GKRHZlHl+ZDEmM2XQ6XRcu3aNO3fuoFAomD9/PkuXLpVqRxyFgYEB/vVf/xUXFxdSU1PJzMyc9HqZb775htDQUFJSUigvL+fu3bvs3LlzTITE0gU3Y8YMYDTi1dTUxLJly6bUjeBxAdnU1MTZs2dpa2uTIkD+/v5s27aNGTNmYDAYcHJymjSBcfv2bR49ekRzc7OUio2NjeWtt94CoLa2lqCgoCnpt1VUVERtbS0tLS1SmjgyMpJ3330XgMbGRsLDw+3amXz8+HEqKioICwsjMzOTpKQkh6glfJwrV65w48YNsrKyJNNmmRcPuYBfZkrQ29vLv//7vyMIAmlpaSxZsmRK3qAmg97eXgoLC+nv72f79u14enqSl5dHRESETcwgh4aGMJvNkmFqcnIy5eXltLS0EBkZKaWqlEqlJMRgtL5HEIQp16n6eNNGZGQkP/nJTzAajWOiZ5b3VmFhoVRz9vjv8e6776JQKCgoKKC6unrM8Z2cnHj77bcBuHr1KnV1dWO2+/j4sHnzZmA0xdrd3U1ERAQ5OTmEh4cTHBws/WxcXJz1XwArkZ2dTXZ2NqIo0tfXJ6VEYTTFevDgQVxdXZk/fz4ZGRl2EeRr1qwhJCSEW7duceLECc6dO8eCBQtYuHChzddiL+bOnUtPTw8FBQXcunWLnJwccnNz5ZqylxRZjMlYneHhYdRqNQkJCfj5+bF06VLmzJkzabYMUw2dTsfVq1cpLS0FICkpCbPZjEqlsmk9jIeHByMjIwwPD0t+Zf7+/rS2thIZGTkmMqZUKtFqtWg0Gu7cuUNsbOwLUTTv7OzMzJkzn6gji4yMJC0tja6uridGHcHoMPK/jrQ8/v9KpfKJ7Xq9Xnqtdu7c+VyCWhRFjEbjlEjNW0xsH/9cKhQKtm7dSnFxMVeuXOH69eskJSWxZMmS7x2bZG3c3NzIyckhOzub+vp6SkpK0Ov1wOhrqNfrX/rI+vTp09m0aROLFi3iypUrXL16lc7OTrZu3WrvpclMAnKaUsZq6PV6ioqKuHHjBmazmV/96lcOF1qvr6/n8OHDCIJAeno6S5YswcvLy27rKSwsZGBggNzcXKZNm0ZpaSnV1dXs2LEDGLW2mDZtGv39/Rw8eJCgoCASEhLkgcdWxuIbNzQ0xNKlS0lOTp4SRfTfR1dXFyUlJZSVlfHee+8RFBTE4OAgbm5udnlvWB4eqqqqOHHiBAsWLCAnJ2dKCFtboNFocHJyIigoiL6+Pqqrq8nIyHC49O2LhpymlLEZRqORkpIS8vPzGR4eZtasWSxbtsxhhJjBYECr1RIYGEhYWBgpKSksXLjQrpFAo9FIbW2tlLqrq6t7opsS4PDhw+zatQtvb2/ef/99uwoEy4PhVBcpT8NoNEp+an+NTqejoaGBJUuWEB8fjyAIU6aj8fsICAhgzZo1rFy5UooCnj17loaGBjIyMpg/f75NU5iW12v69OlERUVx+fJliouLWbx4sUOIksebGe7fv8+FCxe4ceMGS5YsITU1VX54esGRI2MyE6a7u5s//OEPxMTEsGzZMsLCwuy9JJtgMpm4ffs2169fx93dnQ8++GBK3GBFUeTmzZu0tLQwa9Ys3N3duXnzJoGBgdTV1bFq1SrJC+zxfca7dpPJRGNjI7W1tQwODkrWFRYfpbNnz6LRaJ6wrrD4jH3yySe0traO2f74gO7q6moCAgLw9/efEq/r03j06BGXL19Gq9WSmZlJamoqnp6eY4Rlfn4+JpOJpUuXAqOvm5OT0w++5hcuXODhw4eSfYVKpcLDw0OKahYUFKDRaFCpVHh7exMfH09ERMSk1vrV1dVRVFRETU0NSqWSpKQkcnJy7NL1qFaruXTpEg0NDWPeN47Co0ePuHTpEs3NzVI5iGUepszUQY6MyUwaZrOZ8vJy2traeP3115k+fTo/+9nPbFpTYk8EQaCiooIrV66g1WqJiopi+fLlU0YwKBQKcnNzx6zH2dkZjUbDxo0bnyqWn3XtAwMDUjTk+PHjPHjwQBIDKpXqifojJycnXF1dJTHx+PaYmBgCAwOlbUqlUtpuNpv54osvMBqNeHt7ExMTQ3R0NDExMVOqw7Oqqork5GSysrI4efIkxcXFLF++HPgPgatSqaivr+f69evcu3ePWbNmkZ6ejq+v7/cKMi8vLwICAsaI1cfp7++no6MDs9mMVquloKCA4OBgfvrTnwKj0TprN4rExsYSGxtLd3c3JSUllJaW4u3tTWhoKKIoYjabbRahioiI4O2336a+vl4y0DWZTNTV1TmEo310dDR79+6ltraWS5cu0djYKImxFyHyKjMWOTImMy50Oh2ffPKJ5FO0Z88em3QGTiXu37/PsWPHCAkJYcWKFcTExNj8wtfZ2fmD3mSPDxqfCIIgUFlZKUXb/u7v/g5vb2+ampoYGRkhOjra6u8BURTp7e2lvr6eR48e8ejRI4aHh3nllVdYunQper2eBw8eEBERYbdh6d3d3dy8eZN58+YRGRlJdXU1d+7cYcuWLTg7O0s3xEePHvHZZ5+xbt06oqOjuX37NhqNhh07dljtpjkyMiKJEouP3L/8y78QGBjIggULJs3d3tLU4O7uTk1NDadOnWLDhg12m6Jx584dvvrqK6Kioti1a5fDXJsebwxRq9WcO3eOvLy8l77J4UVAjozJWB2DwcChQ4fQarVs376dWbNmOeTTV2JiIjt37rTLxABRFLl8+TLXr1/n7bffJjo6+jt/1hKVeV4sEdCCggJ6enqYPn06K1eulCIf4x2fNB4UCgX+/v74+/szf/58RFGkra1N6vBsbm7m1KlTwOhIJ4vxa0pKimTlYQuGh4elNYWGhnLr1i20Wi0BAQHSe2PGjBnS2B+LZcT+/futanjs5uY2xqTXZDKRmZnJnTt3OHToEMHBwSxatIjExESrpjEft1nw8PDAw8ODgwcPsmrVKrKysmz++UhNTcVsNvP111/zxRdfsG3btiln0TIZKBQK6b00MjKCRqPh6NGj7Nq1S64le0GQxZjMM3Pq1Cna29slIeJIiKLI2bNnSU9PZ8aMGSQkJNh8DQaDgRMnTlBZWUlaWtqkiiEY9Sn7+uuvCQoKYuvWrcyePdtuNzaFQiGNUYLRFOfPfvYz1Gq19FVTU0N8fDw+Pj7U1dVRXV1NcHDwmJtRcnIyKpUKjUZDZ2fnE+dJSUl55jVNnz4dg8EgGad6eXlhNBoxGAzSz4iiiIeHB2FhYbS0tBATE4NarSYiIgKTyTRpnYDOzs688sorLFq0iIqKCgoKCjh27NgPCviJEBYWxt69ezl+/Dhnz56ls7OTNWvW2FQMKJVKMjMzEQSBs2fPcu7cOVavXm2z808F4uPjeeONNzh58iSnT59m/fr1DvnQ/KIhizGZZ2bhwoXEx8c7nBCD0WLq4uJifH19xxik2pLjx49TXV3NqlWryM7OtvoFdnh4mOLiYtrb29m2bRteXl789Kc/HRPlmSooFAoCAgIICAggLS0NGF2/JVLT1dVFWVkZRqNxzH6zZ89GpVJx9+5dCgsLnzjus4qx7u5uOjo6cHZ2pqenh8DAQNzc3BAEgcHBQennTCYTzs7OrFq1inv37nHu3DkUCgUrV660iY+bSqUiLS2NlJQU6uvriYqKAkaHsDs5OZGenm5VQejq6sr27du5dOkS+fn5xMbGkpiYaLXjPyvZ2dn09vZSVlbGggULHMZo2kJqaiq9vb1cu3YNb29vli1bZu8lyfwAcs2YzA/S2Ng45YczTya3bt3izJkzzJ8/n9dff91uwqS9vZ3+/n6ri2GdTkdhYSG3bt3CYDCQkJAg1T29yAiCQH9//xjTV19fXxQKBUNDQ5KJ6OM8ix1JR0cHV65cQaVSERkZSXNzMykpKQQFBXHu3DmysrIIDw9/ootSp9MhCIKURrVXkbUoihw+fJiamhrc3d3Jzs4mKyvL6lY0LS0tdu2sFgQBrVbrMGbTf40oipw6dQpBENiwYcOUe6ByFOTZlDJW4caNG5w/f57t27cze/Zsey/H5tTU1HD48GHi4uLYsWOHzdN0AwMDlJeXs2DBgkm5mNbX13Po0CEEQSApKYlFixbZJPJnMpnQarX09fWh1+uleqevvvpKag6xDNi2p2nus1BZWUlhYSG9vb1kZ2dLI3set7CA0e5HS0pVo9GgVCpJTU0lLS0NQRBoaGjA19cXHx8fm6T21Go1+fn5PHz4EBcXF9atW8fcuXOtfp6WlhauXr3K5s2b7TLKx2L1EhkZSXh4uM3Pb08EQZDGiE3FEWeOgFzALzNhSktLOX/+PElJSXapkZoK3L59m+DgYLZs2WLzC9ng4CCffPIJfX19zJ4922rWISMjI3R0dEg3p4yMDLKzs606tNxoNEpiS6fTSanES5cuUVpaysDAgPSzjxef+/r60tHRQXFxMTdv3gRG5zzm5eUB0NPTg6+v75S4qVhGXCUmJhIbGzsm3WcymWhra8NkMhEVFYXZbOb3v/+9lLa0+HJZ7Cp0Oh2ffvqptL+3tze+vr7k5uYye/Zs9Ho9LS0tVhVrERER7Ny5k/b2dmmOJ4x2SD5tXNTz0t/fT21tLYcOHSIvL8/mjvkGg4Fbt25RUFDAj370I4eKlFk+J1qtlgMHDvDqq6867LV8qiNHxmSeSlVVFZ9//jkxMTHs3LnTYTtyzGYzer3e5nMah4aG+OSTT+ju7mbXrl1WK7rWarUcOnQIwCqO+6IoUl1dTWxsLM7OzhQVFZGfnz9GbAH8wz/8Ay4uLty5c4fm5mZJVPj6+uLr64u3t/eYtZhMJlpbW2lubsbFxYWMjAxEUeSf//mfEQSBsLAwwsPDpejZVJijWVtbS319Pc3NzZLZbVhYGD/60Y+AUUsUPz8/ZsyY8cTnyWg00tLSQl9f35ivnJwcZs+ejVqt5uOPP5Z+3svLC19fX1asWGHVEgJRFDl48CBGo5EdO3ZYLXV57949vvzyS2bOnGkXy4muri4+/vhjPDw8eO+99xxmOogFvV7P/v376ezs5K233nLoshNbI6cpZZ6bgYEB/u3f/o3g4GB2797tMLPfLIyMjPDtt9+ycuVKpk2bZvPzDw8P88knn9DZ2cnOnTut5tnU3t7OwYMHMRgMbNu2bcJDy7VaLadPn6a2tpYPPviAwMBAqqqqePjwoSSyLF9eXl4TFn5ms5nKykrUajXNzc20tbUhCAKLFi1ixYoVGI1GysvLiYiIkMxkJwOz2Ux7eztqtZre3l6pW++zzz6jpqaG0NDQMULRGmlWvV5Pa2urJNIsUceVK1cSFhbGgwcPqKqqYvXq1RMWpvfv3+f48eP4+fmRl5eHr6/vhNcPUFFRwfHjx4mJiWHHjh02F2SNjY18+umnhIWFsXv37pd+fNJfMzg4yL59+xgYGOCdd94hODjY3ktyCGQxJjMhqqqqmDlzpsM9QZrNZg4ePEhjYyO7d++Wus9sSV1dHZ999hlbt261WrF+fX09n332Ga6uruTl5U2oLkwURW7fvs358+cRRZEVK1aQmZlp89Sh0WhEo9Hg6enJ9OnTaWxs5C9/+QsALi4uhIeHExwcTEZGBv7+/rS3t3Pv3r0njpOZmYm3tzcajYbKysontufk5DBt2jTq6+u5du0aLS0tkuO7l5cXP//5z3FxcWFgYAA3Nze73OQLCws5f/48bm5ubNmyZcKR1MbGRo4cOYJKpWLXrl1WG3dUVlZGdXU1mzdvtsvrZInQ7dq1i7i4OJuf395otVo+/vhjzGYze/futWppgszTkcWYzLjp6uqiv79/whGTFxVRFDl58iTl5eW8+eabpKam2vz8lujR0NCQ1VJvlu45rVZLXl7ehNv8P//8cyorK4mOjuaNN96YMjU4Ftd+S+RMrVbT1dVFXl4e0dHR3Lt3j+PHjz+x33vvvUdoaCh37tzhzJkzT2z/m7/5GwICAiguLpYib5bI11+nV+1Je3s7Z8+eZf369Vb5m3R2dnLw4EGcnJz44IMPrCa2Le/z4eFhXFxcbF4C0dPT49AipKuri2+//ZYNGzbYJfLvaMhiTGZcWJ6YAH7xi184XAgf4PLly1y7dk0auWNLDAYDhw8fJiMjg+TkZKsc8/ERKXq9HlEUn3s8iiAIwGhB8P3799Hr9aSlpU0ZISIzFmvZZuh0OoaHhwkKCrKqFYfJZOLPf/4zfn5+bNmyxS41qTU1NfT395ORkWHzc08VzGYzRqNRHps0icjdlDLPzNDQEAcOHECv17Nnzx6HFGJ6vZ67d++SlpbGK6+8YtNzG41GDh8+TGNjo9VuDIIgcObMGdrb29mzZ8+ELAXa29s5deoU8+bNIzs7m6SkJKus0cLAwACNjY10d3ezZMkSYHTGoF6vJyIiguDg4Bf+PWkRMmazmaNHj6LRaJg2bRozZ84kKipqQiUBFssCS3cnPPvg96et8XHR5eXlJdW8nTt3DhcXF5YuXTphUebk5ERaWhpnz57lyy+/ZPPmzTZPc9+5c4fq6mqmTZvmkLY9oihy7NgxBgYGHLI2eKrxYl/hZCaMXq/n4MGD9PX18dZbb40ZOeNIuLq68qMf/QhXV1ebRnuMRiNHjhyhoaGBjRs3WiUqZjAYOHbsGDU1NSxatOi5hYzZbObatWvk5+fj5uZmVb8vtVpNeXk5jY2NdHV1AaN/g5ycHFxcXKiqqqKmpgYYdZEPCQlh1qxZLFq0yGprmCxEUaSvr09KlTY3N+Pn58fWrVtRqVQYjUaioqIYGBjg9u3bFBUVsXjxYpYvX47RaGRwcPCZi+Ytx3jllVckIaZWqxEEgZGRERISEr7z/Ww2m1Gr1URFRY3xoHraz4uiyMjICIWFhfT397Nu3boJR7Oys7Mxm82cP38elUrFhg0bbCrINm7cyP79+/niiy/Ys2ePw3mQKRQK5s2bx9GjR/n8888dumt+KiCLMQfnzp07tLa2smPHDodsd25paaGsrMwqXWjjxWw28/nnn1NfX8+bb77JvHnzJnzMgYEBDh8+TGtrK2vXrmX+/B+Mjj8VjUbDiRMn6OzsZN68eaxateq5X5+BgQEaGhpoaGhgyZIleHt709bWxt27d4mMjCQ1NZWoqChCQkKkm/GuXbvQ6XRjBI1FtAF89NFHeHt7S/VbISEhdruRGI1Guru7pe60Q4cOUVtbC4zOiAwLCxvjRL97927p3yaTSWpCgFEhNZ7uRU9PT7q6urh69SqZmZmSsBkZGcFoNFJZWcmGDRueuq9KpaKoqAhBEIiJiaG/v1+yElEoFMTExEjCTKFQsH79enx8fLh69Sr9/f1s27ZtwiauCxYsQBAELl68iLe3NytXrpzQ8caDi4sLu3bt4qOPPuLQoUO89957VvPye1FITExk3bp1fPXVVxw/fpxNmzZNCQ8/R0SuGXNwRFGktbXVat1SLxI9PT189NFHuLi48KMf/cjmxayiKHLx4kX8/f1JT0+3yjEPHDhAY2MjW7ZsYdasWc99nIaGBo4fP87atWufyySyr6+P/Pz8MZEvFxcXtm/fTkxMDEajEZVK9VwXfpPJxIkTJ2hubkar1QKjwmL58uXSzX1gYGDS5hH29/fT2NgoicT29naUSiW/+c1vUKlUVFRUSCnWoKCgcf2OJpMJlUr1TNFZSzrRYDDw5ZdfAhAaGkpiYiI+Pj64uLjwxz/+kS1bthAYGPjUfaurqykuLiYhIYG6ujoCAgIYHBxkcHCQ0NBQli9f/sR5S0tL+eqrr6TB4NaIJJeUlDBr1iy7zJC0XAfmz5/vsDMcCwoKuHDhArm5ubz22mv2Xs5LhVzAL/OdiKLI5cuXSU1NddiuosHBQT766CNGRkZs/kRsNpvp7++flC7Enp4ehoeHn2smYENDAxqNhgULFgD/Mc7nhxgcHOTRo0c0NDQQFRVFcnIy/f39/OEPf2DmzJlSXdTjkS9rodPpJFEUGxtLbGwsra2tfPjhh3h7exMcHCxFzBYuXEhYWBgtLS0UFBQ8caylS5cSFBREY2MjRUVFT2xfuXIl/v7+XLt2jcuXL0tRr/DwcMLDw4mLi7NLdE4URS5dukRQUBCxsbFSBNMyQ3PDhg3fWQ9kNpu5dOkSoigSGxtLYGAg3t7e6PV6/vSnP/H+++8/NfpVW1uLwWCQJidYC0EQqKioICUlxablAv39/VbxwnuRuX79OvHx8bL/mJWRC/hlvpMLFy5w48YNXFxcXogaHGtjMBg4dOgQOp2OPXv22FSICYLAl19+SWNjIz/72c+s4uNWWVlJXV0da9eufS5xrdfrOX/+PLdv38bf35/MzEycnZ1/UIiJokhxcTEXL16UujYtQ7C9vb359a9/PekpDy8vL+bMmTNGFHh6erJq1Sqam5vp7OyUvm80GqX/dnd3P3Esy3a9Xv/U7RZvsZSUFOLj45kxY8aUSOnU19fT2tpKbm6uJMTu37/PtWvXmDdv3vcWZldXV9PX18fChQvHTAZoamoiPj7+O/d93KPr7t27eHl5WcWT78GDB5w8eRKNRsOaNWtsJo4sEbmuri5u3rzJ2rVrp8Tf1pYsXrxY+rdGo3HIbIk9kcWYg5Gfn8+NGzeYP3++NNDY0ejs7KS7u5stW7bYtGhXEAROnDjBgwcPeO2116wixIqKijh79izh4eEYDIZx1/DU1NRw+vRpdDodOTk5LF++/Jmd0U+cOEFFRQVxcXEsXbr0iciXvW5mXl5e5OTkfOf2qKgo/uZv/uY7tyckJHxvatbHx0cSnVMBi2eXh4cHw8PDXL58mf7+fpYuXUpiYuL37ltVVUViYqJ04+3v7+fmzZvU1NSwbNmyHxRDgiBQUFBAV1cXGzZsmHADSlJSEi0tLRQWFqJSqXjttddsGq1Sq9XcuXMHURR54403HDJSZpmUsGHDBlJSUuy9HIdBFmMORFdXFxcvXiQpKYnXX3/dIS80AGFhYfzt3/6tzacLVFRUcPfuXZYvX05ubu6Ej9fc3MzZs2eZPXs2mzZtGvd4mfb2dg4dOoSvry979+4dtzBNT08nJiaGefPmOex7aSoQExNDaWkpX3zxBRqNhpiYGFasWCFFSb/PHywkJIRbt24REBBAeXk5bW1thISEsGvXrmeKsiqVSvbs2cORI0f44osvCA8Pn9D4JIVCwWuvvYbZbKawsJC4uDirjQN7FtLS0ujt7eX69evMmTPHIV3658yZQ1lZGadOnSIhIcHhprDYC1mMORBDQ0MADm3WOTw8zPDwsF1c4wcHB4HRln5rYBnGvWTJkuea8xcYGMivf/1rVCrVc+1vqQeTsT+bNm1iaGiIkZGRJ9Luj3/WH7ewAMjNzUUURQoKCnBycmLlypVMnz59XCag7u7uLFy4kKampnHZcnwXCoWC7OxsSkpKpM+MLUlJSeH69evS9dLRcHJyYt68eTx69IiRkRFZjNkIWYw5EMHBwfz4xz92uPbtx7lz5w4XLlzgH/7hH2xucujn50d8fPyUqUVRKpXP5bxtNpv513/9VxYtWvS96UAZ26FQKJg2bRrTpk2TImGCIKBQKFAoFLS1tVFYWIizszPh4eFj0k8LFix4arOGKIqIomiX96unpydv3lsfcwAAIABJREFUvvkmERERNj+3jIw9mBp3BRmb4OLiQmho6IS9gWSejzlz5rBr1y6rucnHxMTwy1/+8gnbgmelq6uLc+fO0dfXN+59BwcHpYJ3mamBKIqo1Wq++uorYFRsKxQKaYKCm5sbqampXLlyBY1GM2ZfJycnKRIkCIIk5JRKJXq9nubmZkZGRr7z3EFBQaxdu3bCUTELrq6upKam2iWC7e7uzpIlS5gxY4bNzy3juMiRMQdiYGCAqqoqEhIS7OLnI2NdXFxcJhTd6+vr4+bNm8yZM8dqN1EZ+6FQKIiIiHhC7Le2thIbG8uKFSuA0TKF2traMd1y7e3tfPPNN7zzzjtjImG1tbUcPHiQWbNmYTabycvLe+q5fX19n9tg+GkYjUZaW1uZPn26zf3/PDw8HNZvzMLcuXNJTEyURyTZEDky5kD09PRw5syZMe3+MrajpKSE3/3ud1aLKHV3d5Ofny/VjsnIwGhR/uDgIL29vQCMjIxI0c+2tjb6+/uJiYkZs8+MGTOkyQBarZYbN25w+vRp6urq2LZtGzt27ECpVFJWVvbUc46MjNDa2orBYLDK79Df38++ffuoq6uzyvHGg8U02JEjvyqVyuaj4RwdWYzJyNgIg8GATqfDWkbLnZ2dXLx4EZ1OZ5Xjybw81NfX8+233wKQk5ODk5MTJ06c4OLFi7i5uT01ta1SqdBqtRw6dIj29nbmzp1LR0cHDQ0NwKi7v1qtfur5mpqa+PDDD1+KB73e3l7+5V/+hcrKSnsvxW5oNBrOnTvnsE0M9sCuYkyhUKxWKBTVCoWiVqFQ/Maea5FxDGJjY3n99dflgbgTQKFQMHfu3OeuVZOZfObOncvIyAhXr17l/v37hIeHMzIyQkBAAFlZWd9ZN9rV1UVgYCAbN25k5syZrF27lurqak6ePEl3dzepqak2/k1k7EFHRwc3b95Er9fbeykOw3fWjCkUiq+BD0RRbJiMEysUChXwB+BVoBkoUSgUp0RRfDAZ55ORgdGOUnncx8RQKpVs2rTJ3suQ+QE2bdrE3bt3efjwISEhIcyZM0caRv9d3mNBQUG0trYyODiISqWirq6OlJQUUlNT6e7uJiQkxNa/hoyMQ/B9Bfx/Ac4pFIr9wG9FUbR2Aj0LqBVFsR5AoVAcAd4EZDEmM2kMDAyg0+mmzCgbexIbG8t/+S//xd7LkJkkvL29nzpl4/tMYL28vJg3bx5ffvkl06dPp6+vj8zMTPz8/OzS2Sgj4yh8591IFMXPgTTAG7ilUCj+XqFQ/MryZYVzhwGPFyA0///fG4NCofiJQqG4pVAobr0M9Qj2JCQkhJ///OcO7d1TXl7Ohx9+KM0ZtCUBAQEkJSVNGRFo8aAab5Gu2Wzmf/7P//nUYdsyU5PH6xR/6O+9ePFiVq9ezcyZM1m+fDnx8fGTvbwn8PLyYtu2bbKpsIzD8EPWFkZgEHAFvADBiud+2hXhicpmURQ/BD4EmD9/vnUqnx0UZ2dnhzZ8tTezZs1i1qxZVjteXFwcf//3f/9cxq0wWhdSVFTEokWLxh31MBqNCII1Lwcyk8l4BLdSqSQwMHBcNYHBwcFs3LjRatEzFxeXH5yrOVl4eHjw6quvyilZGZvyfTVjq4HfAaeAdFEUrd1W0Qw8HqIJBzTf8bMyVqC/v5979+7JvlIvCU5OThMykO3v7+fOnTukpaXJKSiZp/J9Kc3H8fb2lurRrIHBYKCpqYkZM2bg5eVlteM+C+7u7ixYsMCm55xqpKSkyEPCbcz35Uv+EdgqiuJvJkGIAZQA8QqFIlqhULgAOxgVfjKTRF9fH+fPn6e7u9veS3FICgsL+ad/+iereTHJ1hYyk82zRtSGhoZobGy0WvedTqfj4MGDPHr0yCrHGw9ms5nu7m6H7iR83hIGmefn+2rGFouieH+yTiyKogn4OfAtUAl8Ppnnk5GxN2az2WpCDGTTV5mpQ3NzM3/5y1/o6uqy91ImTF9fH7///e+prq6291LshmWsluwzZjvsOg5JFMWvga/tuQYZxyI+Ph4vLy+rzYd0RBQKBRkZGXJNjYzMS0p3dzd37txh0aJFeHh42Hs5DoF8R5JxKIKCgggKCrL3MqYECoUCZ2fncacilEol69atm6RVycjIyDgeU6PHXkbGRmi1WhobG+VOQEZ9xv7zf/7PhIU94SjzvYiiKH3JTC2am5u5d+/euPfr6+ujrKyM4eHhSViVjIzMDyGLMQciLCyMX/3qVw7t3XPv3j3+8pe/2MVnbMaMGaSlpU0ZnzEYHYo83tdCEAT+63/9r1y/fn2SViXzvJSXl/P11+Ov/NBoNJw8eZL+/v5JWNX48fb25q233iI6OtreS3FI5Act2yOnKR0IlUqFl5cXAwMDeHh4TClRYCss9Q/l5eVkZmba9NxxcXHExcVZ7XgJCQn84z/+43PP2RwcHOTs2bP09PSwZs0awsPDn2k/hULBtGnTuHnzJt7e3qSkpMhdV3ZGEASKi4spLy/H399/XPvW1dVx7tw5lErlc9cHhYaGsn379nGf+2mIooggCMTGxk74WM+Dj48PW7ZscehaKQ8PD5ycnJ7bw1Bm/CheJAU8f/588datW/ZexgvN0NAQ//f//l8SEhJ4/fXXHe4mKggCn332GTU1NWzbto3Zs2fb9PyiKHLx4kU8PDys5mVkNBo5d+4cS5cuZdq0aePat6amhtOnT6PT6cjOzmb58uU4Ozv/4H5dXV2cOnUKtVpNbGwsa9eulb3K7MTQ0BCHDx+mubmZ+Ph41q1bh7e39w/uZzKZOHPmDGVlZUyfPp3169cTGRk5rnP39fXR3t5uNTNjURQ5d+4c9fX17N279zsHmk8WAwMDeHp62vScUxWdTmdzj7eXEYVCcVsUxfk/9HNyZMzB8PDwIDk5mRs3buDh4cGyZcvsvSSbolQq2bx5M5988glffPEF7733nk0Hh4uiSF9fHwUFBahUKrKzsyd8zLa2NsrKyqivrycvL29c0Yn4+Hg++OADzp8/T2FhIdXV1WzduvUHOyUDAgJ49913KSkp4cKFC3R3d+Pn50d7ezu1tbVERUUREhJi8+iryWSira0NtVpNc3MzPT09/PSnPwXg0qVLT9gVuLq6snfvXgC+/fZb6uvrx2z39PRk9+7dAJw5cwa9Xk94eDgRERF2mW9qMpnQaDQ0NDTg7e1Namoqzs7OaLVaNm3aRHJy8jM/YKlUKgYHB1m0aBGvvPLKuDuMW1tbOXToEKIoEh0djYuLy/P8ShKWB5XCwkKysrImfLzxUl1dzbFjx9i5cycxMTE2PfdUQBRFvv76a2JiYkhMTJSFmI2RxZgDsnLlSoaHh7l27Rru7u7k5OTYe0k2xcXFhZ07d3L9+nUCAgJsem6lUsnGjRsxm82cPXsWpVI54XRpREQEb7/9NocPH+ajjz5i586dz5xyhFFBsm7dOpKTkzl//vwzRwYUCgVZWVkkJydLN86GhgYuXLgAjL7OkZGRREVFkZmZOSk31/7+fjw9PVEqlRQWFnLhwgXMZjMwmm56XFR6eno+MQ7s8Sigl5fXE9vd3d3H/Luqqoq7d+9K+yYlJfHmm28CoNfrJy2Sc/PmTWpqalCr1VKNX0pKiiTGfvGLXzxTRHNgYIALFy6wbNkyfHx82Llz53NFx2trazl69Chubm7k5eVZ5W975coVCgoKyMjIYPXq1TaN2jc3N3Ps2DGCgoLG9dl5mbhw4QK3bt3Cw8PDbqOoHBk5TemgCILAsWPHqKysZPv27TZP100lhoeHEQRh3Cm+iWA2m/n88895+PAh69atIyMjY8LH7O7u5uDBg+h0OrZv3/5c9WmW8TeiKPLll18yd+5cEhISxnWMgYEBGhsbaWhooKGhAa1Wy69//WtUKhV37txheHj4uSJnZrOZ1tZWmpubaW5uRq1W09/fz49//GNCQ0N59OgRNTU1REREEB4ePilP9qIootVqpcibp6cnixcvRhRFfvvb3+Lu7i6dPzw8fNzRM5PJREtLi/S6rV+/HoDDhw+j1WqJiooiKiqKyMjIcdU0iaJIRUUF3377LQaDgY0bN5KUlDTu3x+gtLSUr776ihkzZrBr1y6rvM7FxcV88803pKWl8cYbb9hUiHV3d/Pxxx9LUVJHTFMWFBRw4cIF5s+f75DlK5OJnKaU+V6USiWbNm3i8uXLREVF2Xs5dkMURQ4cOADAnj17bJYaUalUbN26laNHj1otmjJ9+nTee+89Tpw48dz1W5aL8ODgIB0dHRw+fJi5c+eyevXqZ775e3p6kpSUJN3sR0ZGpCaDuro6Hjx4APxH5GzWrFnMn//ktUqn06FWq6Wh1Y2NjXz66afAaLfdX4uu6OjoSe++UygU+Pr64uvry9y5c6Xvm81mFi1aRHNzM/X19VRUVACwaNEiVqxYgclkoq6ujvDw8KeK/srKSkpKSsZEvoKDgzGZTDg5ObF9+/bnTolqtVpOnz5NbW0tERERrF+/fkIR4a6uLmJiYti6davV3ruJiYkMDAywbNkymwqBkZERDh48iCiK5OXlOaQQu3PnDhcuXCA5OVkWYnZEjozJAKNF4N3d3Tatn5oqPHz4kCNHjhAXF8eOHTtsWgf0+CBmaxcPi6JIZWUliYmJz3WBNZvNXL9+nevXr+Pm5saaNWtISkqa8MX68chZY2MjgYGBbN26FYCTJ09iNBppbm5Gq9UCsGTJEpYtW4bBYKC2tpbw8PBnKlC3F49HzwIDAwkODqapqYl9+/YB4O/vT1hYGAMDA6xfvx5fX19u377NrVu3mDlzJlFRUcycOXNMinQinDlzhvLyclasWEFmZuZzvb/NZjNarRZ/f3+p2/F5u3gfp6amhtjYWLt1douiyNWrV4mLi3PY9OS5c+fo7Oxkx44dVvmbyozlWSNjshiTAUZvgpWVlezZs8chx9zcvn2b06dP2yVNAqO1VgcPHuTNN98kOTnZKsd8+PChFNl68803n/tC29HRwcmTJxkaGuKDDz54ptqk8WA2m1GpVBgMBv785z9jMBikNF94eDjBwcEv/PgqS/rRkmJtaWlh2rRprFu3jrCwsDGi3Bp0d3djNpsJCgpiZGSE4eHh546W6vV6jh49SltbGz//+c+tZndQVFTE2bNnWbNmDVlZWVY55rMiCAI6nQ4fHx+bnncqIQgCSqXSquJa5klkMSYzLrRaLR9//DFms5l33333iUJmR+DSpUtcv36d1157jdzcXJue22AwcPDgQdRqNVu3brVKAa0oiuTn53Pp0iWio6PZtm3bc99IBUFAq9Xi5+eHyWSisrJyXJ17MrZBEARu3rzJlStXCAsL45133pnQ8XQ6HYcOHaK9vZ1169aRnp5ulXWWlJTw9ddfk5iYyObNm20qBERR5PTp01RVVfHBBx/YtFZ0qtDS0sLx48fZvn07gYGB9l7OS40sxmTGTVdXF/v27cPZ2Zm9e/dO6VTQZCCKIteuXSM9Pd0ubd16vZ4DBw6g0WjYtm2b1bybysvLOXXqFAEBAezatWvC0YBbt25x5swZoqOjeeONN6aUv1hPTw9qtVoqsO/s7GTOnDls3rwZgN/+9rfo9fox+6SmpvLGG28A8N//+39/wn08KyuLVatWIQgC+/fvJzg4mIiICCIiIvD29p4ygrS9vZ1Tp06h0WiYNWsWa9eundD7uLOzk4MHDzI0NMTWrVuJj4+3yjotUeiEhAS2bdtm84hMfn4+Fy9elOr5HI3Ozk727dsnNSzIFhaTi1zALzNuAgICyMvLY//+/Rw/fpw9e/bYe0k2RaFQ8MorrwCjEYbu7m6bPjW6urqSl5fHgQMH+Pzzz/nJT37CjBkzJnzclJQUvLy8OHbsGN3d3RMWY5bOz/Pnz/PHP/6R5cuXk5mZafObqtFoRKPRMDAwIDULHDlyhM7OTlxdXQkPDyc2NnZMHWR2dvYT459CQ0Olfy9YsOAJMRYREQGMmqsqFApKS0spLi4GRu0wVq1aRVJSEmazGVEU7ZJSbWho4NNPP8XNzY3Nmzdbpbbv2rVrmEwm3nnnnTGv0UQYHBzk3LlzxMXFsXXrVpu/Z+7evcvFixdJTk5m+fLlNj33VECr1XLgwAGUSiW7d++WhdgUQo6MyTxBY2PjUz2ZHIlvv/2W0tJS9u7dS1BQkE3PPTIyQmlpKTk5OVaNujzug2UNd22tVsuZM2eoqakhKyuLNWvWSK7ulo5Dy5eXl5dVirQfPXpEVVUVarWa9vZ2BEHA3d2d//Sf/hMKhYLGxkbc3d0JCAiYtKJws9lMe3u7VP81f/58IiMjqaur4/Dhw4SEhEidnhEREVa74TU1NdHT00NfX5/0FRwczOrVqzGbzVy5coXc3NwJj/F5vIZvaGgIX19fq6zfQmtrK4GBgTYXrS0tLezbt4/w8HDeeuutF74OcbwMDg6yb98+BgYGePfdd63yoCfzw8hpSpkJI4oiZWVlzJ071+EuXFqtlj//+c+oVCree+89uz1Bdnd3o9PprGo/UlNTw2effUZmZia5ubkTSkeLokh1dTUeHh5ERkbS39/P//t//4+BgYExP7dy5UoWLlyITqfj0qVLPyjWTCYTra2tqNVqWlpa2LBhA87Ozly4cIHi4mLCwsIksRMeHj4l5gh2dnZSWlpKc3MzGo1GMp/96U9/SnBwMN3d3ej1embMmPHUiFBLSwsdHR309fWh1Wrp6+tj2rRpUqfpH//4Rzo6OoBRaw9fX19iYmKkaO5E6enpIT8/n/b2dqvbvNy7d4+hoSGbF+o/jsFg4OLFiyxdutRqnaovEnq9ni+//JKFCxeOe+yVzPMjizGZCWNpx7fU3DjaYPHW1lb27dtHQEAA77zzjs3HswB8+umnqNVq8vLymDlzplWOOTIywtmzZ6moqECpVJKSksLChQutMuTZgslkkgRFX1+fZICq0Wg4fPjwE2Jt8+bNJCcn09bWxunTp2lra5PEjK+vL3l5eQQEBKDX63F2dp7y78XHDWqzsrJQKpV88803FBcX4+TkRGhoKAqFAkEQpHFMhw4doqamBvgPsRUaGsqqVauA0bFXLi4u+Pj4WDW919bWRkFBAffv30epVJKRkcGrr75qtQewBw8ecOzYMSIjI3n77bdt/rcbHBzEycnJ5nMupwomkwlBEOxy/ZKRxZiMlbhx4wbnz58nIyODtWvXTpliZVtRU1PD4cOHSUxMlCIUtmRgYID9+/ej1Wp56623rPpE29vby40bNygtLcXd3Z2/+7u/s9mN8q/FWlxcHD4+PtTU1JCfny/ZWkRERLw0Rpw6nY6mpiYp2qdUKvH392f9+vUoFAq6u7tRKpV4e3vbrJaqvr6eTz/9FBcXF+bPn09ubq5VX++qqiqOHj1KWFgYeXl5NhdERqOR/fv3o1Ao2Lt3r8NdvwRB4PPPP2dwcJB33313yj/EvIzIYkzGaly4cIGCggKH7T4qKysjICDAbqaQOp2O/fv3o9Pp2LJli9W62iwMDAzQ2dlJdHQ0giBw+vRpUlNTX/hUhiAIDA8PS9YFfX19TxTnu7i4SNt7e3ufOIarqyseHh6SkauPj88LfUMXRZG6ujr0ej1JSUkIgkBRURGpqalWT91VVFRw8uRJQkJC2L17t82FmCAIHD16lKqqKocc+SaKIqdOnaKsrIzVq1eTnZ1t7yU5JHI3pYzVWLFiBUNDQ9y4cYPU1FSHK+xPTU2V/t3e3m7zwlcvLy9pEHhhYSFxcXFWFQSenp5SNKS7u5vq6mpKS0uJjIxk8eLFxMbGvhACZHh4WJpZaYk+JSQksGXLFgD+9Kc/PdXWwjLo+//8n//zhFjLzs5m9erVmEwm/u3f/k3q0rRYW4SFhb0Q6S9BEKiqqiI/P5/W1lZCQ0OZM2cOSqVy0jz1RkZGiIyMZPv27XZ5jc6dO0dVVRWrV692OCEGo4PXy8rKWLJkiSzEXgDkyJjMMyEIAq2trYSFhdl7KXbj3r17fPHFF2zZsuW5hyxPBIPBgNlsxt3dneHhYVxcXCYlnWUwGCgtLeXGjRv09/cTHBzMzp07p5TvnCiKdHV10dfXJ0UKLQXuCoVC8gKbNWsWMTExwKitgSAIY47j7+8vWVeUl5c/cZ6AgADCwsIQBIHS0lKpqcBSSL9q1SpycnIYHByUZj/6+flNKfFaW1vL2bNn6e7uZvr06SxcuJB58+ZNyntHr9fT0dFBREQEoigiiqJdUmMWLzOLmHY0ysvLOXHiBKmpqVIaXMY+yJExGauiVColIVZZWQnA7NmzHepDPnv2bCIiIjh+/DiiKFrFy2k8WApwRVHkyJEjiKLIypUriYiIsOo6XFxcyM7OZv78+VRUVFBVVSV1kz58+BBfX18CAwNt/rfv7Ozk4cOHNDQ00NzczMjICK6urvz6179GoVCwcuVKnJ2dCQ0NfWqx8uODvZ9GSkrKd26zFLZbGBkZoaWlRRq43djYyIkTJwDw8PAgIiKCqKgo5s2bZ/NOT1EUaW1txd3dHT8/P5RKJc7OzmzZsoXExMRJEUeW9Of58+fp7+/nb//2b3Fzc7Pb9SEuLo7c3FxWrlxpl/Pbm4iICNLT0+XB3y8QcmRMZlyYTCY+/PBDOjs7CQ0NZfny5cTExDjMB35oaIhPP/2UtrY2QkJCeP311+1SS3bv3j3OnDnDyMgIwcHBZGVlTboFiSiK/O///b8ZGhrCx8eH+Ph44uPjiY6Otvq8SlEU6enpob6+ntTUVJydnbl48SL5+fkEBARIacKIiAimT59u9/efIAh0dnZKzv9NTU309vbyy1/+Ej8/PxoaGujt7SUmJmZS5iGOjIxQX19PTU0NNTU1DA4OsnDhQlauXCmlXifjNdLr9ZSXl1NcXEx3dzeenp5s2LCB2NhYq5/r+xBFkQcPHnDv3j22bt3qcIXqoihSWVnJ/fv32bJli90/DzL/gVzALzNpCIJAeXk5V69eRavVEhkZyZo1a8Y4nb/MCILA3bt3uXLlChs3biQyMlIaumtLDAYDFRUVFBcX09nZaZOBy/39/dTW1lJTU0NdXR1Go1FKBel0Og4cOIBKpUKpVEr/zc7OZvbs2Wi1Ws6fPy993/Iz8+bNIzw8HK1WS1lZGX19fTx69AitVgvAnj17iIqKQqfTAbwwruGWgn+Ar776ijt37gCjqdHo6GiCgoKkv1dxcTFdXV2YzWYEQcBsNuPj4yM1zJw5c4auri5pmyAIBAcHs379+jEi2c3Njbi4OOlrsuYuWt7vHR0d/PGPfyQsLIysrCzmzJljU09CS0Tu0qVLkplsXl6ewwwAF0WRmpoaLl++TFtbGwEBAezevXtKlRQ4OnKaUmbSUCqVpKWlMXfuXEpLS7l+/brkCWUPUWJrLN5cc+fOlX7Xb775hv7+fpYvX26zAn+LHUFGRgYNDQ3SyJrS0lJqa2vJysoiMjLSqk/J3t7epKenk56ejslkoqmpSRJHCoUCf39/STBYRIOlTstgMEj+YY+LCotxa19fH1euXMHNzY3o6GgWLlxITEyM5H/2oogwC48LgnXr1pGdnU19fT2PHj3i7t27TJs2TRJjdXV1qNXqMULWaDRK+1u8oiwpR6VSKQkthULBqlWr8PX1JTw8fNI+f6IoUltbS3FxsTR2KSgoiA8++MAuw6YHBgY4duwYjY2N+Pr6smHDhjGfyZed/v5+jh49SnNzM35+fmzcuJHk5GSH+f1fNuTImMyEsYxPATh58iRDQ0MsW7bMYSJlAAUFBVy/fh29Xs/cuXNZunSpVU1Ux0NxcTGXL19mZGSEGTNmSClMa6cSJ4PJTKlNJV6k31Ov11NWVkZxcTE9PT14enqSlZXF4sWL7bYeV1dXBEHg008/JTExkfT0dIeZEjI4OMi0adMwm80cOHCA5ORkUlNTbT7nU+bZkNOUMnYhPz+f/Px8ycdo6dKlUpHzy87w8DAFBQUUFRUhCAJvvPHGGFsMW2I0GqUUZkdHB7Gxsbz11lt2WYvMi82lS5e4fv064eHhUirSHjf+np4erly5Qn19Pb/4xS9eCEsRa6LRaKR05C9/+csX4uFKRhZjMnZkeHiYmzdvUlRUhNFoZP369XYTJfZAp9Nx7do1FixYgJ+fH+3t7RgMBsLDw20eCRFFkcbGRgCioqIYHh7mzJkz0nDrly2lIYoifX19kt9YX18fu3btAkYfFOrr68f8vJubG9u2bQPg8uXLqNXqMds9PT3ZtGkTABcvXsRkMklp1ZexLsdsNlNfX09RURFZWVkkJCSg0+no7++3i62NKIrU19dTUlLCw4cPUalUZGdns3jxYocRYx0dHVy+fJmqqirc3d1ZuHAhWVlZshh7QZBrxmTshru7O8uXLyc7O5uCggKio6MB6OrqwsXF5aW8iT2Ol5cXa9eulf6/oKCAu3fvEhwcTGZmpk1ThgqFYsyQ8Y6ODurr67l//75kAxEWFkZ2dvYL+XcxGAw4OzujUCgoKSnh6tWrDA4OAuDs7ExISIj0s2azGZPJNGb/x/9fEIQntltqIWH0IaOsrIzCwkJgtH4uKSmJ1157Tdr/RRS3giBw7tw5WlpaaGtrw2Qy4enpicFgAEbfz/aq12ttbeXAgQN4eHhIIuRFqx2cCO3t7fzpT3/C1dWVpUuXkpOT4zAi1NGQI2MyNuPgwYM8evSI+fPns2jRopdm5uAPYTAYuHv3rpQydHNzIzc3lyVLlthlPUajkaqqKpqbm6Ub8C9/+Uu8vb0pLS2lurpaEmlhYWG4ubnZZZ1/jSiK9Pb2SlEvy9rff/99goKCqKqqoqqqirCwMCIiIggKCrK6ODKbzbS1tUnn9/X1ZcWKFYiiyO9+9zupiN7yNZW6+gYHB9FoNLS0tNDS0oKnp6c0feDf//3fcXd3JzQ0lMjISBISEuySimxvb6e4uBhnZ2dWr16NKIo8fPiQ2NhYh6kJ6+vro6W27dyxAAAgAElEQVSlhaSkJERR5NatWyQnJ1t9XJWMbZDTlDJTjr6+Pq5du0ZZWRkqlYqUlBRycnIcpqZMFEXUajUlJSUEBgayZMkSBEGgrq6O2NhYu0VVTCaTdKMrKSmRbBYsBAYG8v7776NUKunv78fDw8MmN0aDwYBGo8HX1xdfX19qamo4dOgQMNpJGhYWRnh4OOnp6fj6+k76er4Po9HIlStXaG5uRqPRSBG2V155haVLl2IymWhtbSUkJMQmr53RaKS7u1tqovnss8+oqqoCRqOlgYGBxMfHS6aooijarZnAbDZTWVlJSUkJTU1NODk5kZaWxuuvv26X9diLlpYWioqKuH//Pi4uLvzqV7+SU5EvAbIYk5mydHd3S6m7V155hUWLFiEIAgqF4oXoLrMm1dXVHDlyBF9fXzIyMkhPT7e5Y/vTGBkZkaIog4OD0kiZTz75hMbGRoKDg6XIWXh4uDSvVKvVSjYMFnsLd3d3qbO0pqZG+r7ly2LiKggCN27cQKvV0tzcTHt7O6IosmLFChYtWsTw8DD3798nIiKCwMDAKZsSNJvNtLe3o1arCQ8PJywsjKamJvbt24dSqSQkJITw8HC8vLxITk7Gx8eH3t5eGhsbJVsLi8VFZGQkbm5uDA4OotVqx2xXqVR4enqiUqno7e3l0aNHtLS0oNFoaG9vR6VS8Zvf/AaVSkVpaSlDQ0OEh4cTEhLy1AkF9uL8+fPcuHEDPz8/5s+fT1pamkNFgVpaWjh79izNzc24uLiQlpbGggULXsiyAZknkcWYzJRnaGgIlUqFq6srFRUVXLlyhaysLNLS0hymLsJsNlNVVUVJSQmNjY2oVCqSk5NZvXr1lEkPPs7Dhw9pbGxEo9Gg0WgwGAzExMSwe/duAP7X//pfDA0Njdln3rx5bNy4EYD/8T/+xxN1WRkZGaxbtw5BEPhv/+2/jYl6WYrlX/Sb88jICA0NDZJDvyV6ZjG0raio4Pjx40/s9+Mf/5jQ0FBu3brFmTNnntj+s5/9jICAAK5du8bly5dxc3MjLCxMSjPHxcVNKcsDS0NJSUkJWVlZzJw5k97eXrq6uoiLi3OYh7GhoSEMBgO+vr50dnZy5MgRsrKySE1NdZhrn6MgizGZF4r6+nouX74sPR2mpqaSlZUlRVwcgY6ODkpKSmhubuYnP/kJCoVCchWfivUygiBIrvGWQvl79+5JheyW6I23t7eULtNoNCgUijHRHVdXV9zd3RFFUUqZvuw3ZUuzgJOTE0qlEoPBwNDQ0JiIoSAIBAYG4uLiglarpb29/Yntc+bMwdXVFZ1Oh8FgwN/ff0q+dnq9noqKCkpKSujs7MTNzY01a9Ywb948ey/NprS3t1NYWMjdu3eZNWsWW7duBeybJpaZXGQxJvNC0tLSQnFxMffu3SMgIID333/f4S5SlguzyWTid7/7HQDp6elkZGTg5+dn59XJyIwPURT5/e9/T09PDyEhIWRmZpKcnOxQ9VC1tbXk5+fT2NiIs7Mz8+bNIzs72y6TC2RsiyzGZF5odDodOp2O0NBQ9Ho9Bw4cICUlhXnz5k2pepfJRBRFGhoaKCkpoaqqClEU8fPz49VXXyUxMdFh6+xkpiaCINDR0UFTUxNqtZqOjg7pYerBgwd4e3sTFhbmMO/XkZERXF1dUSgUXLx4kbt375KZmUl6evoLn3aXeXZknzGZF5rHvY10Oh1ms5kzZ85w8eJF0tPTyczMtHsH3WSjUCiIjo4mOjoarVbLgwcPaGpqkgr8GxoaOHbsGBEREURGRhIZGWmzbr2pTm9vLxqNhv7+fh5/4MzNzUWhUFBfX09bW9uYfZRKJTk5OcBoo0FnZ+cT27Ozs1EoFC9FWqmzs5Pe3l60Wi2enp4kJiaOa3+j0Sg1GpSWlvLtt9+i1+uB0c9vZGQker0eNzc35syZMxm/wpSkq6uLoqIiysvL2bJlCwkJCSxevJhly5ZN2aYTGfsjX7VlpjwBAQH8+Mc/Rq1WU1RUxM2bN7l58ya/+MUvHCZt5+PjQ25uLrm5udL33N3dmTVrFmq1mocPHwKgUql4//33CQgIYGBgAJVK9VI+hYuiyODgIF1dXXR1ddHd3U1XVxdbtmzB1dWV27dvU1BQ8MR+OTk5KBQKKisr+esou5OTkyTG7t27R0VFxZjt3t7e0vZjx47R1tZGQEAAAQEBTJ8+nRkzZtjFpf5pdHV1UV1djU6nIycnZ8yDi0VI3rp1C51Oh6enJ7W1tahUKuLi4r5XMIiiyPnz52lqaqK1tZW3336bmTNn4u/vT3JysvRQ4OPj88KL1fFgGaJeVFREXV0dKpWKuXPnStcnR4nmyzw/cppS5oVDq9VSXV1NVlYWANeuXWPatGkkJyc7bCfS4OD/196dB8d13Xei/57e0AsaQGPf9wYIAgRAggQXSSQlbqYoS55YsSeObdmJRh7X2JmJX+Ikdt6fqco4U+PElXgSJ/JLJbKSlzgKqdjauEikKEvgioUACGEjmlhIAMTaDfR+3h9g3weQIAmS6L69fD9VXUAv6P7xErj3e8859xyX0j20f/9+aDQavP322zh37hyys7NXtJ7F0oEyEAhgampKCV0NDQ1ISUm56+pCvV6PjIwMfOELX4DNZsP09DQ8Hg/S0tJW/FsNBoMyHm/57Pohod8fn8+HYDB4z+fPnTuHoaEhJQgGAgEUFhbit3/7twEAb775JgAoQS0zMxM2my1iLSNvvvkmNBoNTCYTZmdn8cwzz9y3JfmDDz6A2+3G3r17H3gV79/8zd/AYDCguLgYjY2NCXWRzZ0CgQC0Wi2CwSB+9KMfIRAIYNu2bWhqaoLFYlG7PIoCHDNGCSEYDOLVV1/F6OgoDAYD6urq0NTUhPz8fLVLU93o6Cj6+vpw/fp1XL9+HR6PB8nJyfjOd76jLB/k9XphNpthNpthsVhgtVojMmt8IBDA3Nwc3G433G43PB4P3G43CgsLkZmZieHhYfz7v/87pqenV3QzfulLX4LdbsfExAQGBgaUlqmUlBTVAmYwGMTs7Cy8Xi9ycnIAAK+//jpGR0eVpZkAoLa2Fi+++CIA4PTp0zAajTAajUhKSoLRaITNZkNqaiqklJBSPnJwGxoawoULF3D48GGYzWa89tprqK+vX/XKxZs3b+LatWsYHBzEli1bUFVV9cD3j4cu2schpYTD4cDFixcxNDSEb3/729DpdJicnITNZouqqURIfRwzRglBo9Hg5ZdfxsjICC5evIj29nZcunQJhw8fRnNzs9L6kYg7yPz8fCWUhgZXO51O5UB66dKlu8ZNlZWV4atf/SoA4Kc//Sn8fj+sViuSk5NhtVpRUFAAu90OYKk1zmQyKaHB6/UiGAzCaDTC4/Hg/PnzmJubUxaanp+fx1NPPYVt27Zhenoaf/VXf3VXzUeOHEFmZiYsFgtyc3NRW1u7oisw1DKVlZUVNVeiaTSau7rLQ4uTLy4uKl2ooTGQHo8HZ86cuavl7YknnsD+/fvhdrvxgx/8AAaDAUajEVarFSkpKWhsbLxvWAqFpLGxsRWrWuTl5SmhNvR/H/o+NLYuGAxifn5+Tf/eRA1ik5OTuHDhAnp7ezE1NYWkpCTU19fD5/NBp9MlzEoiFB4MYxTzhBDKWoCHDh1Ce3u7sjh5X18f3njjDZSXl6OyshKVlZVRtV5gpGg0GmWur5BXXnkFPp8PLpcLCwsLWFhYWDHdQF5eHqampjA7O6vMxN/Q0AC73Q4pJf78z/8cgUAAFosFPp8PHo8Hu3btwoEDBwAAJ0+ehNFoREpKCqxWK7Kzs5XQkpKSghdeeOGu1qHQeqU2m02ZgymWmUwm5XczJCkpCd///veVVsFQy2BoxnWNRoM9e/Yoz83Pz2NiYmJFK9tqQiEpKSkJs7OzyglIamoqJicn4ff7lf/f0Gs3bNiADRs2YHx8HBcvXkRvb6/y/5uooSvk1q1b6OvrQ1FREfLz8+FyuXDx4kWUlJTgySefRG1tLceC0bphGKO4YjQalbFkwNKBqK6uDn19fcrafFlZWfjqV7+aMAuV34sQAgaDAQaDYdULIQ4fPrzifiAQUGbPl1Li4MGDcDqdmJ+fh16vV66gA5YCwfe+9717ziUVmtg3UWk0GqV7+E5JSUnYu3fvQ7+n1+uF3++H2+1GMBhUplYwGAxwuVz3ndfLbDbD4/HA6/U+9OfGi2AwiL6+PuU2PT0NANi7dy/y8/NRVFSE7373uwk1PxpFDsMYxbXc3Fx89rOfhZQSk5OT6Ovrw/DwsDK49p133sH09LTSapYoV2c+itCM+cBSmNi2bdt9X8+DVuT4/X6cPHkSDocDmZmZSEtLg8PhwKZNmyClVKacWG52dhbXr1+HEEJZoDvUDZoIrWKhfYLT6VRa0o8ePQq/34+ysjLs2LEDlZWVyrqqGo2GU1NQ2DCMUUIQQqw6zshkMuHTTz9VpobIyMhAfX09du/erUaZRI9Ep9OtaMkMTd0xNjaG6elpZUqOiYkJvPXWW3jppZewuLiIjo4OJCcnIyUlBTU1NXEfoGdmZnDt2jU4HA4MDAxgdnYWNpsNv/M7vwONRoOXXnoJGRkZnKuPIo5XU1LCk1JiampK6Z7IyMjAZz7zGUgp8Xd/93fIyspCcXGxMp9SIrQaUGwKjfWSUqKjowPT09PIzc1FdXW12qVFnJQSExMTuH79OrZs2QIhBI4dO4bW1lYYjUaUlJQoLeLxPoE0qYdXUxKtkRACGRkZyMjIwPbt25XHQ4Oqe3t70dbWBgCwWCzYv38/Ghsblavh2HVB0SJ0oiCESLhFuIGllRe6u7sxNDSE69evY3FxEQBQWlqKjIwM7Nq1Czt27EB2djZPqiiqMIwR3YPRaMQXv/hFSClx69YtDA0NweFwKFe9DQ8P4/XXX1cmVC0pKUF+fj67OIgiwOfzYXh4GENDQ9i4cSOys7Nx48YNHD9+HOnp6aiurkZJSQlKSkqUlq9omQ6F6E7spiR6ROPj4zh37hwcDoeyjqFWq8XLL7+M3NxcLCwsQKPRPHBGcyJam4WFBZw9e1ZZjinUOv38889j8+bNyhQriX6lNEUPdlMShVl2djaee+45AEsHCYfDoVzNBgC/+tWv8NFHHyE1NRU5OTnIzs5GTk4ONm7cyK5Nonvw+/2YnJzEzZs3MT4+jps3b6KkpARPPfUU9Ho9Ll68iNzcXOzatQvFxcUoKipSTnj0en3cX4RA8YlhjGgdmM1mZQLNkJqaGiQlJSkHlL6+PhgMBtTW1gIA3n//fczMzCghLTs7G1arlWNZKCFIKTE7O4ubN29CSqn87fzFX/wFnE4ngKWW5qysLGVKFb1ej+9+97sJuaIGxTeGMaIwKSgoQEFBgXLf7/djbm5OCVtutxvXrl1De3u78pqioiL81m/9FgDg008/hdlsRnZ2Nmf6ppjm8/mUFqsPP/wQvb29GB8fV+Y/y87OVsLY008/DYPBgJycHKSnp98VvBjEKB4xjBFFiE6nUyaQBJZmuD98+DAWFxeV1rPQ4H8pJY4dO4aFhQUAS8sDZWVlobq6Glu2bAGwdAFBaM1IHqBWcrvdmJubU7YfsLT9Q8sSjY2N3TURqsFgUNbyHB0dvWs2+uXP00p+v1/53XU4HBgaGsLc3BxmZmYwPj4On8+H3//934cQAvPz8xBCYNOmTcjJyVFahUNCv99EiYRhjEhlJpNJuepruZdffnnFuJnJyUnMzMwAWDr4vfrqq8prQ4tJNzU1YfPmzQgEAujp6UFKSgpSU1NhsVjiapzaxMQExsfHVyxCLqXEiy++CAD4+c9/jv7+/hU/k5GRgW9961sAgHfffRdDQ0Mrns/Ly8Mrr7wCAPjFL36BsbGxFc+XlpbipZdeAgD87d/+LTwej7LdrVYrCgsLldYdp9MJk8kUFyE5tIh4cnIytFothoaG0NXVhbm5OczOzmJubg4ulwt/+Id/iKSkJPT09OBXv/oVTCYTUlNTUVJSguzsbASDQWi1Wjz77LNq/5OIog7DGFEUEkLAZrPBZrOtGIe2/Pnf/M3fXHFAXN4FOjs7i3/9139VXq/RaGC1WrFv3z5s2rQJ8/PzuHz5srI2ZeiWn5+P5ORk+Hw+LCwsKI+vd6gIBALw+Xzw+Xzw+/3KLTs7G1qtVpkhfX5+Xrm5XC787u/+LoQQ+Pjjj3H58mUAS91WKSkpKybu3LlzJxobG2GxWJRtsnzKkUOHDq3aMhby3HPP3dUytnwdyfLyckxNTWFubg5DQ0OYn59HXV0dNmzYACklfvSjH8Hn8yktl1arFTU1NWhsbISUEgMDA0hKSoJOp1NuJpMJSUlJCF3hvp5jBwOBAIQQ0Gg08Hg8mJychNfrhdfrhc/ng9frhd1uh9VqhcPhQEtLi/K75XQ6IaXEN7/5TWRnZ+PmzZtobW1FamoqUlJSkJubi9TUVKXup556Cnv27GHXOtFDYBgjikFarRaVlZX3fD41NRXf+MY37gprVqsVwNLkmO+///5dP/frv/7r2LhxIxwOB1577TXlcY1GA4PBgC984QsoKyvDtWvXcPr0aRgMBmUskN/vx8GDB5Geno7u7m6cPn16RdDy+/145ZVXkJ6ejpaWFhw/fvyuz//Od74Dq9WKwcFBnD59GhaLRQkz+fn58Pv90Ov1ePLJJ7F9+3ZYrVaYTKa7gktFRcV9t19eXt59n39Qd+S+fftW3JdSKouoA0thL9RiNz8/j9nZWczPzwNYmkx4+bYN2bNnD/bu3Yv5+Xn88Ic/hFarXRHW9uzZg82bN2NmZgZHjx5d8RwAbN26FaWlpRgbG8Mbb7yhhC2v14tgMIgvfvGL2LBhAxwOB15//fW7Pv/LX/4yrFYrPB4Pbty4gdTUVJSXl69oXQWAbdu2obm5+Z7bhlO5ED08hjGiOKTVapGbm4vc3NxVny8uLsYf//Efrzhg+3w+ZaH0rKwsfPazn13xvNfrVcKclFLpvvJ6vRBCQKfTwefzAVhqZUpLS1sRGHQ6ndJaUlpaikOHDt31fOhAvnPnTjz55JP3bJFbPvYuGgghlFAqhEBTU9M9X6vX6/H1r39d2eahoBr6vzIYDNi9ezcCgcCKILt82wNL4+JCzwFQxsclJSUhJycHer1+RatnaMqV/Px8/MZv/MZdraKhlj+73Q673X7ffysRrS9O+kpEREQUBmud9DV+RvQSERERxSCGMSIiIiIVMYwRERERqYhhjIiIiEhFDGNEREREKmIYIyIiIlIRwxgRERGRihjGiIiIiFTEMEZERESkIoYxIiIiIhUxjBERERGpKGYXCn/zzTfhcDhgMpnw4osvIjU1Ve2SiIiIiB5aTLaMtba2QkqJb3zjG9i2bRtOnTqFWFrwnIiIiCgkJlvGurq6sGvXLuj1etTX1+O9996DlBJCiLteK6WE2+2GEEJ5frXvV3uOiIiI4o+UUmnECX1/5/3H/f5hxGQYm5ubQ1pamnLfYDBgcXERFovlrtd6vV784Ac/eKTPWUtoW8vjj3vTaDSP/Njyx9fy9UHPredNq9VCq9Uqn0FElIiklAgEAggGg8rXx72F3kdKueLrao89zNflt9Uee9jXrtcttB3XGrIiwWAwrPm1MRnG7mwFu9+BXKvV4tChQw+VgB/l/oMeX+sv0Wq/sMv/qB72F34tf1jRQAihhLNQQHvQ93fe1+l0ytf7ff+g1+n1euXGkEgUP6SU8Pl88Hq98Pv98Pv9CAQCq35/v+fu/H75LRSEVrt/r++jaT+8lhP3R20kWP4+AO7ZgLC8lrXc7nz949xf63Oh7+/3vFarxfe+9701bfuYDGNWqxVOp1MZtO92u2EymVZ9rU6nw44dOyJZXky5M7jdL7zd+f2DzsjW+rr77cTutWPzer13PXfnjjIYDD729tHpdDAYDCsC2p33V3ssdN9gMMBoNMJoNCIpKQlGoxEGg4Ehj+g+pJTweDzweDxwu93Kzev1wufzKbc776/22PL7fr//sWvTaDR3ncgtP0EMnSQaDIZ7nkw+6ARz+ese57Zaj8f9Ahb3S+qJyTBmt9vR1taGgoIC9PT0oKioSEna9HDuTPHxJBTWHuaMN3S7144+9PjCwsKqO/u1EEIowWx5SLvf96FbcnLyQzV9E6lBSgmv1wun07kiTN0ZrkL3V3t8re51IpScnKzcv/OkKvTYo7SgM7BQOMRUGMvJyQEAbNmyBW+88Qb+8i//EgaDAb/2a7+mcmUUjUJngXq9PiKfJ6VUglwopHm93lUPNnceiGZmZtZ8IDIYDEhOTr7nzWq1Ijk5GWazmScptK6CwSBcLhfm5+fhdDrve7vfyclqJyRpaWmrnoQsv39noNJqtQxHFBdEtPRVr8XWrVvlhQsXAEDpwgKWupKI4kWoi+bOELe4uKgc6O48IK4W4IQQsFgsqwa2zMxMlJSU8G+HVvB6vRgaGsKtW7fuClfz8/NYWFhY9eeMRqNyEpCcnAyLxQKr1QqLxQKTybRqqGKIokQghLgopdz6oNfF7J441OpBFG+EEMpBa618Pt+qrRPz8/NwuVxwOp24efMmXC6XchJjNBpRV1eHxsZG5Ofn8+CYoKSUGBoaQltbG7q6uuD1egEsDVsIhau0tDQUFhau2gprsVgY6okeE/+CiOKAXq+HzWaDzWa77+uklFhYWMDIyAg6OjrQ2tqKCxcuIDMzEw0NDaivr0dKSkqEqiY1TU1Noa2tDe3t7ZiZmYHBYMDGjRuxadMm5ObmwmQyMaATRUjMdlMS0eNzu93o7OxEW1sbrl+/DiEEysvL0djYiOrq6oiNt6PI8Hg86OrqQmtrKxwOBwCgvLwcDQ0NqKmp4f830TpbazclwxgRAQBu3bqFtrY2tLW1YW5uDklJSaitrUVjYyMKCwvZShKjgsEgrl27pnRD+v1+ZGRkKC2hXNeXKHyiOowJIf4MwGcBeAH0A/i6lHLmQT/HMEYUflJKDA4Ooq2tDd3d3fD5fEhPT0dDQwMaGhp48I4Rt27dQmtrK9rb25VwHRojWFBQwHBNFAHRHsYOAjglpfQLIf4nAEgp/+BBP8cwRhRZoW6ttrY2DA0NAQDKysqUbi3OeRZd3G43rly5gra2NgwPD0MIgYqKCjQ0NGDDhg0caE8UYVEdxlYUIMR/AvCilPI3H/RahjEi9UxPTyvdmMsHfDc0NKCkpIQtLSoJBoMYGBhAa2srrl69ikAggKysLKUb0mq1ql0iUcKKpTD2HwD+Xynla/d4/hUArwBAcXFxU+jsnIjUIaWEw+FAa2urMhVCUVERPve5zyE9PV3t8hLK2NgYjh49ivHxcZhMJqUbMi8vj+GYKAqoHsaEECcA5K7y1PellMduv+b7ALYC+DW5hkLYMkYUXbxeLzo6OnD8+HEEg0Hs378f27ZtYxAIs0AggLNnz+LMmTMwm804ePAgampq2A1JFGVUn/RVSrn/fs8LIV4C8ByAfWsJYkQUfQwGA5qammC32/Hmm2/i7bffxtWrV/HCCy9woH+YTExM4OjRoxgdHUVdXR2effZZmEwmtcsioseg1gD+zwD43wD2SCkn1vpzbBkjil5SSly6dAnvvvsuNBoNDh06hMbGRraSrZNgMIhPPvkEp06dgsFgwJEjR1BbW6t2WUR0H6p3U973Q4XoA5AE4Nbthz6RUv7XB/0cwxhR9JuensaxY8cwNDSEqqoqfPazn0VycrLaZcW0qakpHDt2DA6HA9XV1Xjuuee4TYliQFSHsUfFMEYUG6SUaGlpwcmTJ6HX69mK84iklLh48SLee+89aDQaHD58GPX19WxtJIoRqo8ZI6LEJYTAjh07UFlZiaNHj+LnP/85uru78eyzz8JsNqtdXkyYnZ3Fm2++iYGBAZSXl+P555/nODyiOMWWMSIKq2AwiI8++ggffPABzGYznnvuOVRXV6tdVtSSUqK9vR1vv/02gsEgDh48iKamJraGEcUgtowRUVTQaDR46qmnYLfbcfToUfzzP/8zGhsbcejQIRiNRrXLiypOpxO/+MUv0NPTg+LiYrzwwgucu40oAbBljIgixu/34/Tp0/joo49gtVrxwgsvoLy8XO2yokJXVxd+8YtfwOv1Yt++fdi+fTs0Go3aZRHRY+AAfiKKWsPDwzh69Chu3bqFbdu2Yf/+/Qm7zuXi4iLeeustXLlyBfn5+fjc5z6HrKwstcsionXAMEZEUc3n8+HkyZNoaWlBeno6vvzlL8Nms6ldVkSNjY3h9ddfx8LCAnbv3o0nn3wSWq1W7bKIaJ2sNYyxDZyIVKHX6/GZz3wGL730Eubn53HmzBm1S4q4kydPQkqJl19+GXv27GEQI0pQDGNEpKrS0lLU19ejo6MDLpdL7XIiZnJyEv39/WhubkZeXp7a5RCRihjGiEh127dvRyAQwKVLl9QuJWJaWlqg1WrR1NSkdilEpDKGMSJSXVZWFsrLy3H+/HkEAgG1ywk7t9uNtrY2bNq0CRaLRe1yiEhlDGNEFBW2b9+O+fl5dHd3q11K2F2+fBk+nw/Nzc1ql0JEUYBhjIiigt1uh81mw8cff4xYusr7Yfn9frS0tKC4uJhjxYgIAMMYEUUJIQT27NmD0dHRuB47dvbsWczOzmLPnj1ql0JEUYJhjIiiRn19PUpKSnDixIm4vLLy1q1bOHv2LOrq6rjyABEpGMaIKGoIIXDkyBF4vV6cOHFC7XLWlZQSb731FnQ6HQ4ePKh2OUQURRjGiCiqZGVlYefOnWhtbcXQ0JDa5aybzs5ODAwM4Omnn4bValW7HCKKIgxjRBR19uzZg9TUVPzyl7+Mi6kuPB4P3n33XeTl5WHbtm1ql0NEUYZhjIiijl6vx+HDhzExMYFPPvlE7XIe26lTp+B0OnHkyBFoNNztEtFK3CsQUVSqrq5GdXU1Tp8+jZmZGbXLeWRjY2M4f/48tm7dioKCArXLIRv0KZMAACAASURBVKIoxDBGRFHr8OHDAIB33nlH5UoeTTAYxC9/+UuYzWbs27dP7XKIKEoxjBFR1EpNTcWePXvQ09ODnp4etct5aJcuXcLIyAgOHjwIo9GodjlEFKUYxogoqu3YsQNZWVl4++234fV61S5nzZxOJ06ePInS0lJs2rRJ7XKIKIoxjBFRVNNqtThy5AhmZ2dx5swZtctZs+PHj8Pr9eLZZ5+FEELtcogoijGMEVHUKykpQUNDAz7++GNMTEyoXc4DXbt2De3t7di1axeysrLULoeIohzDGBHFhAMHDsBgMOC9995Tu5T7klLi7bffRlpaGnbv3q12OUQUAxjGiCgmWCwWNDU1YWBgAB6PR+1y7ml6ehrj4+PYsWMH9Hq92uUQUQxgGCOimFFeXo5gMBjVyyQNDg4CABcCJ6I1YxgjophRVFQErVarBJ5oNDg4iOTkZGRmZqpdChHFCIYxIooZer0excXFURvGpJQYHBxEeXk5r6AkojVjGCOimFJWVoabN2/C5XKpXcpdbt68iYWFBZSVlaldChHFEIYxIoopoaATja1jHC9GRI+CYYyIYkp+fj6SkpIwMDCgdil3GRwcREZGBlJSUtQuhYhiCMMYEcUUjUaD0tLSqGsZCwQCGBoaYhclET00hjEiijllZWWYmZnB9PS02qUoRkZG4PV6GcaI6KExjBFRzAmNyYqm1rFQLQxjRPSwGMaIKOZkZmYiOTk56sJYXl4eTCaT2qUQUYxhGCOimCOEQFlZGQYHByGlVLsceL1eXL9+na1iBL/fD5/Pp3YZFGMYxogoJpWVlcHlcmF8fFztUuBwOBAMBjmlRZybmppCf38/Jicn73puYmICP/vZz/Anf/InuHDhAoLBoAoVUqzSqV0AEdGjWD5uLCcnR9VaBgYGoNVqUVxcrGodFD4OhwOnTp0CsLQSxIEDB5Cdna08bzAYcOjQIWRlZUGj0cDv98NgMKhVLsUYtowRUUxKTU1Fenp6VMw3Njg4iMLCQuj1erVLoTD54IMPsHXrVnzta19DZmYmurq64Ha7leetVqsylnFxcRGBQEDFainWsGWMVCGlRDAYXPXrwz4HAOnp6Rw4nYDKysrQ0dGBQCAArVarSg0LCwu4ceMG9u7dq8rnU/h5vV6kpKQgKSkJAFBTU4POzk5MTk6isLAQUkplLVKj0QiXy7WmMOb1epWf1Wg0K75SYmEYo7DweDyYmZnB7Oys8jX0/czMTFjWFUxPT0d+fj7y8vKUr6GdJ8WnsrIyXLx4EaOjoygqKlKlhmvXrgHgEkjxLBAIwGg0KgHLbDZDCLHqfsxkMsHn861pEP8//dM/Kb8/y1mtVqSlpSE1NRWpqanK96Gv7P6MPwxj9Eg8Hg9u3bq1ImAtD1zLm+8BQKvVKjuWqqoqWK1WaLXaVc8IV3vsfs9JKTExMYHR0VFcv34dV65cUT43MzMT+fn5yq2goAAaDXvn40Xo6sWBgQHVwtjAwAAMBgPy8/NV+XwKP61WC51Oh4WFBQBLq0Do9fpVA5fZbEYwGFRat4LB4D33OVu3boXdbl/R0u/3+zE3N4fZ2VkMDw+jq6vrrosBzGbzinAW+j4tLQ0ZGRnsLo9BDGN0X1JKzM7OwuFwYHR0FJOTk5iYmMDc3NyK1xkMBmWHUFhYeNeZXHJyclib3qurq5XvXS4XRkdHMTo6irGxMQwODqK9vR0AkJWVhUOHDqGioiJstVDkmM1m5OTkwOFwqFaDw+FASUmJat2kFH56vR4WiwWjo6PYsmULpJSYmppCY2MjACgnhcBSN+XCwgKGhobg8XiQk5Ozohtzudra2gd+djAYhNPpvKunYWZmBhMTE+jt7YXf71/xM2lpacjKykJmZiYKCgpQXFwMq9W6DluCwoVhjFaQUmJ8fBwOh0O5hYKXXq9HZmYmSktLkZWVhYyMDOVszGg0Rs04B4vFArvdDrvdrjw2Pz+PwcFBfPDBB3jttddQVVWFgwcPIiMjQ8VKaT1kZ2erFsaCwSBu3bq14neNYpfb7YbRaLzrcSEEiouL0dnZqewXdTodUlJScOHCBRQWFiI3NxddXV04duwYTCYTJiYmUFpaiiNHjjxWTRqNBikpKfdcfF5KiYWFBczOzmJ6ehqTk5PKSfPAwIDStWqz2VBcXKzcMjIyomafTQxjCc/v92N0dFTZwVy/fl3pYrRarSv+eLOzs2O2i89qtaK+vh4bN25ES0sLzpw5gx//+Mdobm7Gnj17Vt0BU2xIT09HR0cH/H4/dLrI7tLm5uYQDAaRnp4e0c+l9eV0OnHy5En09PTgW9/6Fsxm812vyc/Px969e3H8+HHYbDY88cQT0Ol0yMnJUYJSdXU1/uiP/uiunw1n6BFCwGKxwGKx3NVVHggEcOPGDWX/3tvbi7a2NgBLrcrL9++5ubls3VURw1iCcbvduH79uvLHOTIyopw5ZWZmYuPGjcofZ1paWtydOel0OjzxxBNoaGjAqVOn8Mknn6C9vR179+5FU1NTzIbNRGaz2QAAMzMzyMzMjOhnT01NAQDDWIzy+/345JNP8OGHH8Lv92P79u33DCRCCFRWVqKysnLF48vHKkZbmNFqtSgoKEBBQQF27twJKSVu3bq1oufj6tWrAJZ6PgoLC5X9f2FhIS8UiCCGsTg3Nze34g/v5s2bAJaavvPy8tDc3Izi4mIUFRXBYrGoXG3kJCcn4/nnn0dzczPeeecdvPXWW7hw4QIOHTrEq+JiTCgITU1NRTyMTU9PA/j/AyHFBikluru7cfz4cczMzKC6uhoHDhyI+2ELQghkZmYiMzMTW7ZsAbA0hGP5MeL06dPKa/Py8la0niXSMSLSGMbijNPpxODgIAYHB3Ht2jXlYKHX61FUVIS9e/eiuLgYBQUFPOsBkJubi5deeglXr17Fe++9h3/8x3/E7t278fTTT6tdGq3R8jAWaVNTU9Bqtfccz0PR6T/+4z9w+fJlZGdn4ytf+UpCn4BZrVbU1tYqFxO43W4MDw8r4ez8+fP45JNPACz1npSVlaGsrAylpaWc23EdMYzFuMXFRQwNDSkBbGJiAgCQlJSE0tJSbNu2DSUlJcjNzWUX3D0IIVBTUwO73Y6jR4/i7NmzaGxsZGtHjDCbzTAYDMqJRyRNT08jLS2Nf1sxZHh4GJcvX0ZzczMOHTrE/7s7GI3GFd2xfr8fY2NjGBoawtDQEFpbW3H+/HkASyezoXBWUlLCE/zHwDAWY7xeLxwOhxK+xsbGACy1fBUXF6OhoQFlZWUMX49Ap9Ph0KFD6OnpwalTp/D5z39e7ZJoDYQQSE9PVyWMTU1NcbxYDJFS4sSJE7BYLHjmmWe4j1wDnU6HoqIiFBUV4cknn0QgEMDIyIjS+3Lu3Dl8/PHH0Gg0KCgoQGlpKcrLy1FYWBjxC2piGbdUlPP7/RgeHlZ+8YeHh5VJBIuKirBnzx6UlZWhsLAw6gaPxiKr1YodO3bg7Nmz2LlzJyfyjBE2mw3j4+MR/UwpJaanp1FSUhLRz6VH19vbi6GhIRw+fJirczwirVarjCHbs2cPfD4frl+/rjQQnD17Fh9++KES4kItZ/n5+Qy/98EwFmWCwaAyUeng4CAcDgf8fr8ymHLnzp0oKytDcXExZ1kOkyeeeAIXL17EiRMn8JWvfCXuriiNR+np6ejp6bnvbOfrzeVywev1smUsRgSDQZw4cQLp6eloampSu5y4odfrUV5eroy7c7vdK3pvTp06BWBpYvCSkhIlnOXk5HDfugzDWBSYmppCf38/BgYGMDg4CI/HA2BpMsumpialP55zYUWG0WjE7t278e6776K/v/+uS9kp+thsNgSDQczNzSEtLS0inxnqFmUYiw1tbW2YmJjAiy++yF6EMDIajaiqqkJVVRWApZOWa9euKb07vb29AJbGeoZCXEVFRcJfBMMwpgK3243BwUElgIV26qmpqdi4cSPKy8tRWlqK5ORklStNXNu2bcO5c+dw4sQJVFRU8Awuyi2/ojJSYSx09SYv9Ih+Pp8P77//PgoKCrBx40a1y0koFotlxdWac3NzGBwcxMDAAAYGBpS1hDMzM1FRUYGKioqEvBiAYSwCQgMeQ+FrZGQEUkoYDAaUlZVhx44dqKioQHp6Og/6UUKr1eKZZ57Bv/3bv6G9vR0NDQ1ql0T3sTyMRWqagqmpKQghIhb+6NG1tLRgfn4en//857mPVVlKSgoaGhrQ0NCgLL83MDCA/v5+XLx4ES0tLdBoNCguLlZazfLy8uL+/41hLAxCA3vv7HoUQiA/Px9PPfUUKioqUFBQwObyKFZbW4tf/epXeP/991FbW8srg6JYSkoKtFptRK+onJ6eRkpKCn8votzCwgLOnj2LqqoqXmwRZYQQyMnJQU5ODnbu3Am/3w+Hw6EcO0+dOoVTp07BZDIpway8vBypqalql77uuBdZJ4uLiyu6HmdmZgAAaWlpqK2tRUVFBcrKyjhJXgwRQuDAgQP4h3/4B5w7dw67du1SuyS6ByEEbDZbRMMYp7WIDR9++CG8Xi/27dundin0ADqdbsXFAE6nU+nO7O/vR2dnJ4ClLs1QOCstLY2LLk2GsUcUDAYxOjqKvr4+9Pf339X1uGvXLlRUVMBms8V982o8KysrQ2VlJT788ENs3ryZYTqKpaenR3QW/unpaWzYsCFin0cPb2ZmBufPn0dDQwOys7PVLoceUnJyMurr61FfXw8pJSYmJpQGj0uXLuHcuXPKNE+hiWpj9SpNhrGH4HK50N/fj76+PvT19WFxcREAUFBQwK7HOLZ//3789V//Nc6ePYsDBw6oXQ7dg81mw+DgIKSUYd8Zu91uLCwssGUsyp06dQpCCC5vFgeEEMjOzkZ2dvaKLs1Qq9nJkydx8uRJJCcnK8GsoqIiZmYhYBi7j2AwiJGRESV8jY6OAli6JNdutyv/2WazWeVKKZxycnLQ0NCAlpYWNDc3x+V4hXhgs9ng8/ngcrnCfiUyFwiPfmNjY+jo6MATTzyR8NMmxKPlXZr79+/H/Py8cqzu7u5Ga2srhBArWs1yc3OjttWMYewOHo8HPT096O3tRX9/PxYXFyGEQEFBAfbu3Qu73Z4QV3bQSk8//TSuXLmCDz74AC+88ILa5dAqll9RGe4wFuoOZctY9Dpx4gRMJhOefPJJtUuhCLBardi8eTM2b96MYDCI4eFh9Pb2oq+vT7kQIDk5GRUVFaiqqoLdbo+qidMZxrA0B82nn36Kzs5OfPrppwgEArBYLKiqqlJavzhWKLGlpqaivr4eV65cYRiLUqFWqpmZGRQXF4f1s2ZnZwGA01pEKbfbjYGBAezevTtmuqlo/YSmxiguLsa+ffvgdDqVVrOenh60tbXBYDCguroadXV1qKioUH14UcKGMb/fj/7+fly5cgU9PT3w+XxITk5GU1MT6urqUFhYyNYvWsFsNiMYDKpdBt2DxWIBsDSVQbi5XC5otVqubxilpJQAwCEkBGDpQoDGxkY0NjYiGAzi2rVruHLlCrq7u9HR0QGj0YgNGzagrq4OZWVlqqyhmVBhLBAIYHBwEJ2dneju7obH44HJZEJ9fT1qa2tRUlLChUyJYpTRaIQQAi6XK+yf5XK5YLFYeMJGFGM0Go0y1uzIkSPKKgBdXV1obW2F2WzGxo0bUVtbi+Li4ohlgrgPY6EUHApgi4uLSEpKWpGC1W6epNgQOtum6CSEgMViiUgYW1hYUFriKHrxb5buR6vVwm63w263w+/3o7e3F52dnWhtbcWFCxeQnJyMjRs3RqS3LC7DmJQSDodDaYZ0uVzQ6/XYsGGDMgErZ82mR8GWkOhmNpsj1k3JLjCi+KHT6VBTU4Oamhp4vV5lHPnFixdx7tw5Ze3ourq6sFzEFzeJREqJkZERpblxfn4eOp0OVVVVqK2tjborJ4ho/VksloiEsYWFBWRmZob9c4go8gwGA+rq6lBXVwePx4OrV6+is7MTLS0t+Pjjj2Gz2ZTFz9drktmYDmNSSoyNjaGzsxOdnZ2YnZ2FVqtFZWUlamtrUV1dHRfLJBDR2pjNZoyNjYX9c9gyRpQYkpKSlIXNFxcXlWD20Ucf4ezZs8jIyEBtbS3q6uqQlZX1yJ8Tc2EstMp7qAVsamoKGo0GFRUVePrpp1FdXc1LmYkSlNlsDvuYMZ/PB5/PxzFjUYzDCSgcTCaTMpeZy+VCd3c3Ojs7cebMGZw5cwbZ2dlKMHvYOQhjKozNz8/jxz/+MSYnJyGEQFlZGZ544gnU1NRwHjAigsVigcfjQSAQCNuFOaGwx5YxosRlsViwdetWbN26FfPz8+jq6kJnZyfef/99vP/++8jLy0Ntbe2a3y+mwpjT6YTFYkFzczM2btzIM1OKKF6ZFf2WzzVmtVrD8hmhMWnc/0Q//s1SJFitVmzfvh3bt2/H7OysEsw++uijNb9HTIWxnJwcfO1rX1O7DEpg7P6IbqHWKpfLFbYwFmoZYxgjojulpqZi586d2LlzJxYXF/EHf/AHa/q5mJrhlBOyEtH9RGIWfnZTEtFaPMzwKaYbIooby1vGwoXdlES03hjGiChuhAJSOMNYaF1KTpsTvTicgGINwxgRxQ2TyQQhRFi7KUNLIfGAT0TrhWGMaI14ZVb0E0KEfa4xTvgaO/g3S7GCYYzoIbA1JPqFe31KLhJOROuNYYyI4orFYmHLGBHFFIYxIoor4V4s3OVysWWMiNaVqmFMCPF7QggphMhUsw6itXA6nVx2KwaYTCYsLi6G5b0DgQB8Ph9/D6KcXq+HVqvF/Py82qUQrYlqYUwIUQTgAACHWjUQPYyxsTHk5eWpXQY9gMFggMfjCct7h943KSkpLO9P60Oj0SAnJwc3btxQuxSiNVGzZeyHAL4LgJe7UNTzer24desWcnNz1S6FHiApKQmBQAB+v3/d35thLHbk5ubixo0bvKKSYoIqYUwI8TyAESll2xpe+4oQ4oIQ4sLExEQEqiO6W+gMm2Es+oWCktfrXff3ZhiLHXl5eXC73ZiZmVG7FKIHCttC4UKIEwBWO3J9H8D3ABxcy/tIKX8C4CcAsHXrVp7ikCpu3rwJAOymjAGhoOTxeNb9qkeGsdgR+lu9ceMGbDabytUQ3V/YwpiUcv9qjwshNgEoA9B2e86mQgCXhBDNUkp28FNU2rp1K+x2O6xWq9ql0AMsD2PrLdTaxjAW/bKzsyGEwNjYGGpqatQuh+i+whbG7kVK2QEgO3RfCHENwFYp5WSkayFaKyEE0tLS1C6D1iCcYYwtY7FDr9cjKyuLg/gpJnCeMSKKK5EIY1wkPDbk5uZibGxM7TKIHkj1MCalLGWrGBGtF7aMUUheXh6cTiecTqfapRDdl+phjIhoPbFljEJCVz+zdYyiHcMYEcWVcIexpKQkLhgfI0JhjOPGKNoxjBFRXNHr9QDCG8YoNhiNRthsNraMUdRjGCOiuCKEQFJSUlgmffV6vQxjMSYvL48tYxT1GMaI1iC0pAqXVokNSUlJYWsZ43ix2JKbm4vp6Wm43W61SyG6J4YxomVmZ2fhdDrvWtdQCAEpJccKxYhwhjG2jMWW5TPxE0UrhjGi2zweD/7lX/4FFy5cQGtrK3p7ezE2NobZ2VkAwE9+8hPMz8+rXCWtBcMYhfCKSooFEZ+BnyhaDQ0NYXp6GmazGePj47h+/To0Gg2Sk5Oh1WqxsLDA5ZBiRFJSUli6pRjGYk9ycjKsVitbxiiqMYwR3WaxWHD48GFs2rQJAOB2uzE+Pg6n04mWlhblDJuiX1JSktKiuZ4YxmITZ+KnaMcwRnRbXl4eMjIyEAgEoNVqYTQaUVxcDAAYHh6G2WxWuUJaK4PBsO7dlFJKDuCPUXl5eejr64PX6+X/H0UlhjGi2zQaDYxG44rHQldPNjc3w2QyqVEWPQKDwQCfz7eu7xm6qIMH89hTXFwMKSWGhoZgt9vVLofoLhzAT3TbndNWhK6eFEIgNTWV3VMxRK/Xr3sYC71faFJZih3FxcXQ6XTo6+tTuxSiVTGMEd0mhMDCwoJyxWRoGoupqSnuxGOMXq9HIBBAMBhct/dkGItder0epaWl6O/vV7sUolWxm5IIwLVr19DW1gaDwYBgMAiNRoOMjAxs2rQJCwsLapdHD0mnW9q1+f3+detWDHVTht6bYktFRQXeffddzMzMIC0tTe1yiFZgyxgRgHfffRdFRUUoKytDVVUVcnNz4XQ6cfz4caSlpXGcSYwJtV6tZ1clW8ZiW0VFBQCwdYyiEsMYJbzJyUn4fD5s2bIFGzZsgN1uR319PRobG2E2m3Hq1CkugxRjGMboTpmZmUhJSWEYo6jEMEYJLyUlBcXFxTh27BiGhobgdruh1WqRnp6OzZs3Y2RkhMsgxZhQYLpzWavHwTAW24QQqKiowMDAAAKBgNrlEK3AwQ+U8AwGA3bv3q0sgySEgEajgdfrhZQStbW1apdID4ktY7SayspKXL58GSMjI8ocgkTRgGGMCEBaWhr27duHmZkZTE5OYnFxES6XC9nZ2SgrK1O7PHpIoUH26xnGOIA/9pWVlUEIgb6+PoYxiircqxDdJoSAzWaDzWZTuxR6TGwZo9WYTCYUFhaiv78fzzzzjNrlECk4ZoyI4g7DGN1LRUUFRkdHOWUNRRWGMSKKOxzAT/fCKS4oGjGMEVHcCWfLGMeMxbb8/HyYTCaGMYoqDGNEt7ndbrz66qsYGBhQuxR6TOEawK/RaKDVatftPSnyNBoNKioq0Nvbu67LZRE9DoYxott6e3sxPDzMbqg4EK6WMf5uxIeamhosLCzA4XCoXQoRAIYxIkV3dzesVisKCwvVLoUeE8MY3U9lZSV0Oh26urrULoUIAMMYEYClA21vby82bNjA2fbjgBACWq12XQfw+/1+jheLEwaDAZWVlbh69SqXOqOowDBGBKCvrw9+vx81NTVql0LrRK/Xs2WM7qmmpgbz8/MYGRlRuxQihjEiAOjq6oLJZEJJSYnapdA6YRij+6mqqoJGo0FnZ6fapRAxjBF5PB5cvXoVtbW10Gj4JxEvtFrtui4I7ff7eSVlHDEajaiqqsKVK1d4VSWpjkceSnhdXV3w+/1oaGhQuxRaRzqdbl3DWCAQ4JixOFNfXw+n08npbEh1DGOU8Nrb25Geno6CggK1S6F1tN4D+AOBAFvG4ozdbofRaER7e7vapVCCYxijhDY7O4tr166hvr6eV1HGmfVuGePVlPFHp9OhtrYW3d3d8Hg8apdDCYxhjBJa6Iy4vr5e5UpovbFljNaivr4efr8f3d3dapdCCYxhjBKWlBLt7e0oLi6GzWZTuxxaZ+EYwM+WsfhTVFQEm83GrkpSFcMYJayxsTFMTk6yVSxO6XQ6tozRAwkhUF9fj8HBQczNzaldDiUohjFKWO3t7dBqtdi4caPapVAYcGoLWqvQCVlHR4fKlVCiYhijhBQIBNDR0YGqqiqYTCa1y6EwYMsYrVV6ejoKCwvR1tbG5ZFIFQxjlJD6+/uxsLDAucXiGMeM0cOor6/HxMQEbty4oXYplIAYxightbe3w2QyobKyUu1SKEzWM4wFg0FIKdkyFsdCK3BwID+pgWGMEo7b7UZPTw/q6up4cI1j69lNGQp1bBmLX2azGVVVVejo6ODySBRxDGOUcLq7u+H3+3kVZZxbz5ax0PswvMe3+vp6uFwuLo9EEccwRgmnra2Nyx8lgPWc9DX0PmwZi2+h5ZHa2trULoUSDMMYJZSZmRkMDQ2hoaGByx/FOZ1OBynlunQ5sWUsMYSWR7p69SqXR6KIYhijhBKaR4hdlPEvFJzWo6uSLWOJo6GhgcsjUcRxz0IJY/nyR2lpaWqXQ2EWCk5///d/D43m8c47fT4fALaMJYLCwkJleaTGxka1y6EEwTBGCWN0dBSTk5N47rnn1C6FIqC8vBx2u31duimTkpKQlpaGoqKidaiMolloeaTTp09jdnYWqampapdECYBhjBJGW1sbtFotamtr1S6FIiA7Oxtf+tKX1C6DYlAojLW3t+Opp55SuxxKABwzRgkhEAjgypUr2LBhA4xGo9rlEFEUS09PR1FREZdHoohhGKOE8Omnn2JxcZHLHxHRmjQ2NuLWrVsYGRlRuxRKAAxjlBDa2tqQnJyMiooKtUshohiwceNG6HQ6zjlGEcEwRnHP5XKht7cXmzZteuyr6ogoMRiNRmzYsAFXrlxZt8mDie6FRyaKe1euXEEwGORl6kT0UBoaGuB2u/Hpp5+qXQrFOYYxinttbW3Iy8tDdna22qUQUQwpLy+H1WplVyWFHcMYxbXx8XGMjY1x4D4RPTSNRoNNmzaht7cXTqdT7XIojjGMUVxrbW2FRqNBXV2d2qUQUQxqbGyElFJZSo0oHBjGKG4Fg0F0dHTAbrfDYrGoXQ4RxaCsrCzk5+ezq5LCimGM4lZ/fz+cTie7KInosTQ0NODmzZu4ceOG2qVQnGIYo7jV1tYGk8mEqqoqtUshohhWV1cHjUbD1jEKG4YxikuLi4u4evUq6urqoNVq1S6HiGKY2WxGVVUVOjo6EAgE1C6H4hDDGMWlzs5OBAIBzi1GROuisbERLpcL/f39apdCcYhhjOJSW1sbsrKykJeXp3YpRBQHKisrYTab2VVJYcEwRnHn1q1bGB4eRkNDA4QQapdDRHFAq9Vi06ZN6OnpweLiotrlUJxhGKO409bWBiEE6uvr1S6FiOJIQ0MDAoEArly5onYpFGcYxiiuSCnR3t6OiooKWK1WtcshojiSm5uL7OxsdlXSumMYo7hy7do1zM7Ocm4xIlp3Qgg0NDRgZGQEk5OTapdDcYRhjOJKa2srkpKSUF1drXYpRBSH6uvrIYRAa2ur2qVQHGEYo7jhdrvR1dWFuro66PV6tcshojiUnJwMu92OtrY2BINBtcuhOMEwRnGjs7MTfr8fmzdvVrsUIopjABOFmwAAB4hJREFUmzdvhtPpRF9fn9qlUJxgGKO40draqizqS0QULna7HWazmV2VtG4YxiguTExMYHh4GI2NjZxbjIjCSqvVor6+Hj09PVhYWFC7HIoDDGMUF1pbWzm3GBFFzObNmxEMBtHe3q52KRQHGMYo5oV2iFVVVUhOTla7HCJKANnZ2cjPz0drayuklGqXQzGOYYxiXl9fH5xOJxcFJ6KIamxsxM2bN3Hjxg21S6EYxzBGMa+1tRUWiwV2u13tUogogdTV1UGr1eLy5ctql0IxjmGMYprL5UJPTw82bdoErVardjlElEBMJhNqamrQ0dEBn8+ndjkUwxjGKKZdvHgRwWAQTU1NapdCRAmoqakJbrebi4fTY2EYo5gVCARw/vx5VFRUIDMzU+1yiCgBlZSUIDs7Gy0tLRzIT4+MYYxiVnd3N5xOJ7Zv3652KUSUoIQQ2L59O27evAmHw6F2ORSjGMYoZrW0tCA9PR2VlZVql0JECWzTpk0wmUw4d+6c2qVQjGIYo5g0OjqK4eFhbNu2jTPuE5Gq9Ho9Nm/ejO7ubszOzqpdDsUghjGKSefOnYPBYODcYkQUFbZt2wYAOH/+vMqVUCxSLYwJIb4thOgRQnQKIX6gVh0Ue5xOJ65cuYKGhgYYjUa1yyEiQlpaGjZs2IBLly5xmgt6aKqEMSHE0wBeAFAvpawF8L/UqINi08WLFxEIBNDc3Kx2KUREiubmZiwuLnKaC3poarWMfRPAn0opPQAgpRxXqQ6KQfPz87Db7ZzOgoiiSklJCfLz8zlujB6aUGNeFCFEK4BjAD4DwA3g96SUq3a0CyFeAfDK7bt1AHjKEVmZACbVLiLBcJtHHrd55HGbRx63eeRVSymtD3qRLlyfLoQ4ASB3lae+f/tzbQB2ANgG4F+EEOVylWQopfwJgJ/cfs8LUsqt4aqZ7sZtHnnc5pHHbR553OaRx20eeUKIC2t5XdjCmJRy/72eE0J8E8Abt8PXOSFEEEuJfSJc9RARERFFI7XGjB0F8AwACCGqABjAplMiIiJKQGFrGXuAnwL4qRDiCgAvgJdW66JcxU/CWxatgts88rjNI4/bPPK4zSOP2zzy1rTNVRnAT0RERERLOAM/ERERkYoYxoiIiIhUFJNhjEspqUMI8XtCCCmE4GyrYSaE+DMhxFUhRLsQ4t+FEGlq1xSPhBCfub0v6RNC/KHa9SQCIUSREOJ9IUT37X34f1e7pkQghNAKIS4LIX6hdi2JQgiRJoT4+e19ebcQYue9XhtzYYxLKalDCFEE4AAAh9q1JIjjAOqklPUAPgXwRyrXE3eEEFoAfwXgMICNAH5DCLFR3aoSgh/A/yWlrMHSXJP/jds9Iv47gG61i0gwfwHgHSnlBgANuM/2j7kwBi6lpJYfAvguAF7xEQFSyveklP7bdz8BUKhmPXGqGUCflHJASukF8M9YOtGjMJJSjkkpL93+fh5LB6gCdauKb0KIQgBHAPyd2rUkCiFECoDdAF4FACmlV0o5c6/Xx2IYqwLwlBCiRQhxWgixTe2C4p0Q4nkAI1LKNrVrSVC/BeBttYuIQwUAri+7PwyGgogSQpQC2AygRd1K4t6fY+lkOqh2IQmkHEsT2f8/t7uH/04IYbnXi9WaZ+y+1mspJVq7B2zz7wE4GNmK4t/9trmU8tjt13wfS906P4tkbQlCrPIY9yMRIoRIBvBvAP6HlHJO7XrilRDiOQDjUsqLQoi9ateTQHQAtgD4tpSyRQjxFwD+EMD/fa8XRx0upRR599rmQohNAMoAtAkhgKXusktCiGYp5Y0Ilhh37vd7DgBCiJcAPAdgH082wmIYQNGy+4UARlWqJaEIIfRYCmI/k1K+oXY9ce4JAM8LIZ4FYASQIoR4TUr5ZZXrinfDAIallKFW359jKYytKha7KbmUUgRJKTuklNlSylIpZSmWfsG2MIiFlxDiMwD+AMDzUsoFteuJU+cB2IUQZUIIA4D/DOBNlWuKe2LprO5VAN1Syv+tdj3xTkr5R1LKwtv77/8M4BSDWPjdPkZeF0JU335oH4Cue70+KlvGHuBRl1IiiiV/CSAJwPHbLZKfSCn/q7olxRcppV8I8S0A7wLQAviplLJT5bISwRMAvgKgQwjRevux70kp31KxJqJw+DaAn90+2RsA8PV7vZDLIRERERGpKBa7KYmIiIjiBsMYERERkYoYxoiIiIhUxDBGREREpCKGMSIiIiIVMYwRUUISQhQJIQaFEOm379tu3y9RuzYiSiwMY0SUkKSU1wH8HwB/evuhPwXwEynlkHpVEVEi4jxjRJSwbi/LcxFLk0n/FwCbpZRedasiokQTizPwExGtCymlTwjx+wDeAXCQQYyI1MBuSiJKdIcBjAGoU7sQIkpMDGNElLCEEI0ADgDYAeB3hRB5KpdERAmIYYyIEpJYWoH9/wD4H1JKB4A/A/C/1K2KiBIRwxgRJar/AsAhpTx++/6PAWwQQuxRsSYiSkC8mpKIiIhIRWwZIyIiIlIRwxgRERGRihjGiIiIiFTEMEZERESkIoYxIiIiIhUxjBERERGpiGGMiIiISEX/Hy1HZ/ePXLsDAAAAAElFTkSuQmCC\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def f(x, y):\n", " return ((x**2-1) + (y**2-4) + (x**2-1)*(y**2-4))/(x**2+y**2+1)**2\n", "\n", "courbes_niveaux(f, [-6, 6], [-6, 6], (10,10))" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "affiche_3DXY(f, [-6, 6], [-6, 6])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Descente de gradient" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "La **descente de gradient** est une méthode d'analyse numérique permettant dans certaines conditions de déterminer le minimum d'une fonction. Prenons un exemple de fonction à une variable pour commencer.\n", "\n", "Soit $\\quad f : x\\mapsto x^4 - 5x^3 - 3x^2 + 20x - 2$ avec $x\\in\\mathbb{R}$" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# La fonction à représenter\n", "def f(x):\n", " return x**4 - 5*x**3 - 3*x**2 + 20*x - 2\n", "\n", "# L'intervalle de définition\n", "x = np.linspace(-2, 5, 100)\n", "y = f(x)\n", "\n", "#les points\n", "plt.plot(x,y)\n", "\n", "#affichage\n", "plt.xlabel('$x$')\n", "plt.ylabel('$y$')\n", "plt.grid()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "L'idée est de construire une suite de valeur notée $(x_n)_{n\\in\\mathbb{N}}$ nous permettant d'approcher les points critiques de $f$ : $\\nabla f(x) = 0$.\n", "\n", "$$x_{n+1} = x_n - \\eta\\, \\nabla f(x) = x_n - \\eta \\dfrac{\\partial f}{\\partial x}(x)$$\n", "$$\\boxed{x_{n+1} = x_n - \\eta\\, f'(x)}$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Le critère d'arrêt est donné par $\\Delta x = |x_{n+1} - x_n| <= \\varepsilon$, ($\\varepsilon\\in\\mathbb{R}$) " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Exemple : **" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$f'(x) = 4x^3-15x^2-6x+20$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Soient : $\\eta = 0.001$ et $x_0=5$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**À faire : ** \n", "\n", "1. Écrire une fonction $x\\_suivant(f, x, pas)$ qui prend en argument la fonction dérivée, la valeur de $x_n$, le pas ($\\eta$) et qui renvoie $x_{n+1}$ \n", "2. En utilisant les données ci-dessus, calculer la valeur de : $x_5$, que se passe-t-il ?\n", "3. Dessiner le cas ou $x_0=5$ et $\\eta = 0.02$ pour les 3 premiers itérés\n", "4. Que se passe-t-il si on augmente encore la valeur de $\\eta$ ?\n", "5. Conclure quant à la valeur du pas." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Une implémentation Python de l'algorithme de gradient à pas fixe." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "446 -35.16647271868813\n" ] } ], "source": [ "def f(x):\n", " return x**4 - 5*x**3 - 3*x**2 + 20*x - 2\n", "\n", "def gradf(x):\n", " return 4*x**3 - 15*x**2 - 6*x + 20\n", "\n", "def descente(x, pas):\n", " return x - pas*gradf(x)\n", "\n", "# les données\n", "x0 = 5\n", "pas = 0.001\n", "epsilon = 1e-12\n", "\n", "# Initialisation du critère d'arrêt\n", "prec = x0\n", "deltaX = descente(prec, pas) - prec\n", "# Nombre d'itérations pour atteindre un minimum de f\n", "compt = 0\n", "\n", "while abs(deltaX) > epsilon:\n", " suiv = descente(prec, pas)\n", " deltaX = suiv-prec\n", " prec = suiv\n", " compt += 1\n", "\n", "# Affichage des résultats\n", "print(compt, f(suiv))\n", " " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**À faire : ** Écrire une fonction $descente\\_gradient$ dont vous choisirez les paramètres renvoyant un minimum d'une fonction donnée." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# PARTIE II" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Apprentissage automatique supervisé et préparation des données" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "L'apprentissage automatique est la science qui permet de programmer un ordinateur pour qu'il apprenne à partir des données dans le but de faire des prédictions sur de nouvelles données.\n", "\n", "Dans l'apprentissage supervisé ont peux distinguer deux étapes : \n", "* une phase d'apprentissage avec les **variables explicatives** encore appelées **données d'entrainement** comportant les données à étudier et les solutions désirées (**etiquettes**).\n", "* une phase de **prédiction** qui consiste à prédire l'étiquette d'une nouvelle donnée\n", "\n", "**Remarque :** **Features** en anglais ou variables explicatives en français sont les variables accessibles, que l'on peut mesurer. \n", "\n", "Quelques exemples classiques d'apprentissage supervisé : \n", "* **La classification :** on peut imaginer mesurer une température et une pression et vouloir déterminer l'état solide, liquide ou gazeux de l'espèce chimique considérée, ou bien encore décider des e-mails à conserver ou à rejeter comme spam.\n", "* **La modélisation :** un exemple simple est la regression linéaire que nous étudierons à la fin de cette deuxième partie." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Apprentissage avec Perceptron" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Soit $f$ la fonction de transfert suivante : \n", "$$\n", "\\forall x\\in\\mathbb{R},\\ f_H: x\\mapsto \\left\\{\n", "\\begin{array}{cccl}\n", "0 & \\text{si} & x < 0 \\\\\n", "1 & \\text{si} & x \\geq 0 \\\\\n", "\\end{array}\\right.\n", "$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Perceptron : ** L'objectif est d'implanter un perceptron à seuil (neurone simple à seuil) pour résoudre les problèmes de tri entre deux **classes** (ensembles d'élement) **linéairements séparables**. Un cas typique de classification." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Fonctionnement du neuronne artificiel" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "** Description**\n", "\n", "\n", "L'unique fonction de ce neurone est de fournir une sortie égale à $1$ ou $0$, on parle alors de neurone activé pour la valeur $1$ et de neurone non activé pour la valeur $0$. \n", "\n", "Pour cela on effectue la somme $S = b + \\sum\\limits_{i=1}^n x_i\\,\\omega_i$, avec $b$ le poids associé à l'entrée de biais du neurone artificiel. La valeur de l'entrée de biais est fixée à 1. Connaissant cette somme on décide d'activer ou non notre neurone en fonction d'un **seuil d'activation** $\\theta$, fixé au préalable. \n", "\n", "Pour décider de l'activation de notre neurone on peut utiliser la fonction de transfert HeavySide notée $f_H$ de type seuil qui renvoie" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "| heaviside :$\\hphantom{000000000000000000000000000}$| Graphique :|\n", "| :--- | :--- |\n", "|$$ y_H=f_H(S)=\\left\\{\\begin{array}{cccl}0 & \\text{si} & S < 0 \\\\1 & \\text{si} & S \\geq 0 \\\\ \\end{array}\\right.$$||" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$$y_H = f_H(S) = f_H(b + \\sum\\limits_{i=1}^n x_i\\,\\omega_i)$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Remarques : ** \n", "* Soient $W$ et $X$ les vecteurs associés aux poids et aux valeurs d'entrées alors on peut écrire que : $$S = b + \\sum\\limits_{i=1}^n x_i\\,\\omega_i = b + W^TX$$\n", "* La valeur seuil de la fonction Heaviside est à définir en fonction des besoins" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "| heaviside :$\\hphantom{000000000000000000000000}$| Graphique :|\n", "| :--- | :--- |\n", "|$$ y_H=\\left\\{\\begin{array}{cccl}0 & \\text{si} & S < \\theta \\\\1 & \\text{si} & S \\geq \\theta \\\\ \\end{array}\\right.$$||" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**L'apprentissage supervisé ou comment permettre à l'ordinateur d'entrer dans un processus d'apprentissage ? **\n", "\n", "\n", "L'algorithme consiste à donner des valeurs d'apprentissage au perceptron et comparer la sortie de la fonction Heaviside notée $y_H$ à la sortie attendue que l'on peut lire dans les valeurs d'apprentissage notée $y_v$ (**étiquette**).\n", "\n", "La différence $\\Delta y = y_v - y_H$, introduit une notion d'erreur permettant par la suite de corriger (ou pas) les poids attribués à chaque valeur d'entrée du neurone\n", "* Si $\\Delta y \\neq 0$, on adapte les poids $\\omega_i$ et $b$ en les incrémentant ou décrémentant d'un pas d'apprentissage noté $\\eta$ fixé arbitrairement ($\\eta$ un réel tel que $\\eta\\in]\\,0, 1]$), l'ajustement se fait de la manière suivante : \n", " - $\\omega_{i}= \\omega_i + x_i*\\eta*\\Delta y$\n", " - $b = b + \\eta*\\Delta y$\n", "* On répète ces étapes $n$ fois avec le même jeu de données d'entrée et de sortie. \n", "* Plus $n$ est grand plus le perceptron apprend. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Minimisation de l'erreur : mise à jour des poids\n", "\n", "\n", "Afin de mesurer l’erreur commise sur l’ensemble d’un jeu de données, il est nécessaire de se fixer une fonction de perte\n", " qui mesure le coût d’une erreur lors de la prédiction d’un exemple.Pour cela nous allons nous intéresser à la fonction de perte liée à l'erreur quadratique \n", "\n", "\n", "$$E(y_v, f_H(b + \\sum\\limits_{i=1}^n x_i\\,\\omega_i)) = \\dfrac{1}{2}(y_v-f_H(b + \\sum\\limits_{i=1}^n x_i\\,\\omega_i))^2=\\dfrac{1}{2}(y_v-y_s)^2$$\n", "\n", "\n", "La mise à jour des poids revient à minimiser la valeur de sortie de la fonction d'erreur que nous pouvons approcher grâce à la méthode de **descente de gradient**. Cet ajustement des poids se fera pour chaque n-uplet de valeurs en entrée du perceptron.\n", "\n", "\n", "$$\\Delta \\omega = -\\eta\\nabla E$$\n", "\n", "\n", "$$\\begin{pmatrix} \\Delta\\omega_1\\\\ \\Delta\\omega_2\\\\ \\dots\\\\ \\Delta\\omega_n\\end{pmatrix}= -\\eta \\begin{pmatrix} \\dfrac{\\partial E}{\\partial \\omega_1}\\\\ \\dfrac{\\partial E}{\\partial \\omega_2}\\\\ \\dots\\\\ \\dfrac{\\partial E}{\\partial \\omega_n}\\end{pmatrix}$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Commençons par évaluer $\\dfrac{\\partial E}{\\partial \\omega_i}$ pour une fonction d'activation quelconque de classe $\\mathcal{C}^1$ notée $f$.\n", "\n", "\n", "$E = \\dfrac{1}{2}(y_v-y_s)^2 = \\dfrac{1}{2}\\left(y_v-f\\left(\\sum\\limits_{i=0}^n x_i\\,\\omega_i\\right)\\right)^2\\quad\\text{Pour simplifier les notations le biais est inclu dans la somme des }\\omega_ix_i$\n", "\n", "\n", "$\\dfrac{\\partial E}{\\partial \\omega_i} = 2\\times\\dfrac{1}{2}\\left(y_v-f\\left(\\sum\\limits_{i=0}^n x_i\\,\\omega_i\\right)\\right)\\times\\dfrac{\\partial }{\\partial \\omega_i}\\left(y_v-f\\left(\\sum\\limits_{i=0}^n x_i\\,\\omega_i\\right)\\right)$\n", "\n", "\n", "$\\dfrac{\\partial E}{\\partial \\omega_i} = (y_v-y_s)\\times\\dfrac{\\partial }{\\partial \\omega_i}\\left(f\\left(\\sum\\limits_{i=0}^n x_i\\,\\omega_i\\right)\\right) \\quad\\text{avec}\\quad (f\\circ g)'(x) = f'(g(x))g'(x)$\n", "\n", "\n", "$\\dfrac{\\partial E}{\\partial \\omega_i} = (y_v - y_s)\\ f'\\left(\\sum\\limits_{i=0}^n x_i\\omega_i\\right)\\,x_i$\n", "\n", "\n", "$\\Delta \\omega_i = -\\eta\\,(y_v - y_s)\\,x_i\\ f'\\left(\\sum\\limits_{i=0}^n x_i\\omega_i\\right)$\n", "\n", "\n", "$$\\boxed{\\Delta \\omega_i = \\eta\\,(y_s - y_v)\\,x_i\\ f'\\left(\\sum\\limits_{i=0}^n x_i\\omega_i\\right)}$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Nous obtenons une relation de mise à jour des poids pour un n-uplet donné en entrée du perceptron. Pour le biais il suffit de fixer le $x_i$ correspondant à $1$ ou $-1$ suivant les cas." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Remarque : ** La fonction HeaviSide est constante par morceaux ($y=0$ ou $y=1$) donc le terme $f'\\left(\\sum\\limits_{i=0}^n x_i\\omega_i\\right)$ peut être remplacé par la valeur 1 ou -1." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Exemple " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Des données purement numériques avec une zone d'activité occupée par les points rouges et une zone d'activité occupée par les points bleus. Une fois l'apprentissage terminé tout nouveau point placé sur la carte doit pouvoir faire l'objet d'une prédiction d'appartenance à la zone rouge ou bleue." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "from random import randint\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x1, y1 = [0.03, 0.14, 0.4], [0.08, 0.36, 0.17]\n", "x2, y2 = [0.67, 0.53], [0.69, 0.67]\n", "plt.grid()\n", "plt.plot(x1, y1, '*')\n", "plt.plot(x2, y2, 'ro')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Pour cet exemple l'idée est de réduire à son strict minimum le nombre de variables explicatives. Cela permet d'observer le fonctionnement du neurone de notre perceptron dans un plan.\n", "\n", "\n", "La **Table d'apprentissage** correspondante aux **variables explicatives** qui serviront à l'entraînement de notre neurone. \n", "\n", "\n", "\\begin{array}{|c|c|c|}\\hline \n", "x_1 & x_2 & y_v\\\\\\hline \n", "0.03 & 0.08 & 1\\\\\\hline \n", "0.14 & 0.36 & 1\\\\\\hline \n", "0.4 & 0.17 & 1\\\\\\hline\n", "0.53 & 0.67 & 0\\\\\\hline \n", "0.67 & 0.69 & 0\\\\\\hline\n", "\\end{array}" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Soit $b = 0.5$, $\\forall i\\in\\mathbb{N},\\, \\omega_i=0$ et $\\eta = 0.2$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Méthode : **\n", " \n", "* On lit un n-uplet \n", "* On calcul sa sortie\n", "* On met les poids à jour si nécessaire : $\\omega_{i}= \\omega_i + \\eta*\\Delta y*x_i$ et $\\quad b = b + \\eta*\\Delta y$\n", "* On recommence au début tant que l'apprentissage n'est pas satisfaisant " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**À faire : ** Compléter le tableau suivant : " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\\begin{array}{|c|c|c|c|c|c|c|c|}\\hline\n", "\\text{Itérations} & \\text{n-uplet} & b & \\omega_1 & \\omega_2 & S = b +\\sum\\limits_{i=1}^n x_i\\,\\omega_i & y_H = f_H(S) & Y_v & \\Delta y \\\\\\hline\n", "1 & (0.03, 0.08) & 0.5 & 0 & 0 & 0.5 & 1 & 1 & 0\\\\\\hline\n", "2 & & & & & & & & \\\\\\hline\n", "3 & & & & & & & & \\\\\\hline\n", "4 & & & & & & & & \\\\\\hline\n", "5 & & & & & & & & \\\\\\hline\n", "\\end{array}" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Équation de la séparatrice : ** $b +\\sum\\limits_{i=1}^n \\omega_i\\, x_i = 0$\n", "\n", "\n", "$$\\omega_1x_1 + \\omega_2x_2 + b = 0 \\quad\\text{ssi}\\quad x_2 = -\\frac{1}{\\omega_2}(\\omega_1x_1 + b)$$\n", "\n", "\n", "Si on remplace par les valeurs que l'on a trouvé à l'itération 5 (on est pas sûr que ce soit fini) on peut écrire : \n", "\n", "$$x_2 = \\frac{1}{0.106}(-0.134\\,x_1 + 0.3)$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Représentation graphique de la séparatrice" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**À faire : ** Compléter le code suivant pour obtenir une représentation graphique des valeurs d'apprentissage et de la séparatrice" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "# A compléter avec la fonction separatrice\n", "\n", "x = np.linspace(0,0.6,100)\n", "y = separatrice(x)\n", "\n", "plt.grid()\n", "plt.plot(x, y)\n", "plt.plot(x1, y1, '*')\n", "plt.plot(x2, y2, 'ro')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Implémentation du perceptron" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [], "source": [ "# La fonction de transfert\n", "def heavyside(x):\n", " if x < 0:\n", " return 0\n", " return 1" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [], "source": [ "def perceptron(f, e, n, eta, b, data):\n", " '''\n", " f -> function : fonction de transfert\n", " e -> int : nombre d'entrées du perceptron\n", " n -> int : nombre d'itérations pour l'apprentissage\n", " eta -> int : le pas d'apprentissage (arbitraire : 0 < eta <= 1)\n", " b -> int : poids du biais\n", " data -> list : les données que l'on cherche à prédire\n", " '''\n", " errors = [] # liste des erreurs à la prédiction\n", " w = np.zeros(e) # Tous les poids à zéro\n", " w[-1] = b # poids du biais\n", " fin = len(data)\n", " for i in range(n):\n", " if i >= fin:\n", " x, s = data[i%fin] # lecture circulaire de la table d'apprentissage\n", " else:\n", " x, s = data[i]\n", " x = np.array(x)\n", " result = np.dot(w, x) # somme pondérée\n", " error = s - f(result) # différence entre prédiction et résultat\n", " errors.append(error)\n", " w += eta * error * x # mise à jour des poids (biais compris)\n", " return w, errors" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [], "source": [ "# Les données pour l'apprentissage du perceptron\n", "\n", "data = [\n", " ([0.03, 0.08, 1], 1),\n", " ([0.14, 0.36, 1], 1),\n", " ([0.40, 0.17, 1], 1),\n", " ([0.53, 0.67, 1], 0),\n", " ([0.67, 0.69, 1], 0),\n", "]" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[0.03 0.08 1. ]: 0.270 -> 1\n", "[0.14 0.36 1. ]: 0.165 -> 1\n", "[0.4 0.17 1. ]: 0.139 -> 1\n", "[0.53 0.67 1. ]: -0.029 -> 0\n", "[0.67 0.69 1. ]: -0.075 -> 0\n" ] } ], "source": [ "# Les tests de vérification\n", "\n", "w, errors = perceptron(heavyside, 3, 20, 0.2, 0.5, data)\n", "for x, _ in data:\n", " result = np.dot(x, w)\n", " print(\"{}: {:6.3f} -> {}\".format(np.array(x), result, heavyside(result)))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Représentation graphique de la séparatrice :**\n", "\n", "Dans cette simulation je fixe plusieurs valeurs pour le nombre d'itération $n$ d'apprentissage. Cela permet d'observer comment se déplace la séparatrice dans le plan des variables d'apprentissage.\n", "\n", "**À faire : **\n", "1. La séparatrice est-elle unique ?\n", "2. quels sont les paramètres qui influencent la position de la séparatrice ?\n", "3. Quelle(s) solution(s) peut-on imaginer pour améliorer le taux de réussite des prédictions ?" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = np.linspace(min(x1), max(x2), 100)\n", "def separator(x):\n", " return -(w[0]/w[1]*x + w[2]/w[1])\n", "\n", "plt.grid()\n", "plt.plot(x1, y1, '*')\n", "plt.plot(x2, y2, 'ro')\n", "\n", "for n in [5, 10, 15]:\n", " w, errors = perceptron(heavyside, 3, n, 0.2, 0.5, data)\n", " y = separator(x)\n", " plt.plot(x, y, label = str(n))\n", " \n", "plt.legend(loc=4) \n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Projet : Regression linéaire avec le perceptron (4H)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Soit une série de points dont on connait les coordonnées : " ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "k = 100\n", "X = [np.random.uniform(1e-3, 3e-2, 20), np.ones(20)]\n", "Y = k*X[0]+np.random.uniform(-0.3, 0.3, 20)\n", "plt.plot(X[0],Y, 'o')\n", "plt.ylabel(\"$Y$\")\n", "plt.xlabel(\"$X$\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Objectif : ** Tracer une régression permettant de modéliser le nuage de points." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Pour cela on dispose d'un neurone avec :\n", "\n", "* Une seule entrée en plus du biais : $x$\n", "* Une fonction d'activation linéaire : $f(x) = x$\n", "* La sortie attendue : $y$ (dans laquelle j'ai ajouté un peu de bruit)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "On peut accéder aux données d'apprentissage avec l'instruction Python suivante : " ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "print(X[0])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "1. Quelles sont les valeurs d'apprentissage attendues pour les différentes valeurs de X[0] ?\n", "2. Modifier le code précédent pour obtenir seulement 5 points sur le graphqiue.\n", "3. Tracer un tableau permettant d'observer l'évolution lors de l'apprentissage des grandeurs caractéristiques de notre neurone sur les 3 premiers itérés.\n", "4. Écrire un programme permettant d'afficher le résultat de l'apprentissage supervisé du neurone pour les 5 points.\n", "5. Combien d'itérations sont nécessaires pour obtenir une régression qui semble correcte ?\n", "6. Modifier votre code pour afficher le résultat de l'apprentissage supervisé du neurone avec un nuage de points quelconque." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Regression linéaire avec numpy" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "z = np.polyfit(X[0], Y, 1) # 1 pour le plus haut degré du polynôme\n", "p = np.poly1d (z)\n", "print(p) # affiche le polynôme" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "À l'aide du code ci-dessus comparer la droite resultant de l'apprentissage du neurone et celle calculée par numpy." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "christophe.casseau@ensam.eu" ] } ], "metadata": { "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 }