tp3(mini-projet)-Latifa_BenAmor.ipynb

{
 "cells": [
  {
   "attachments": {
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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "![page%20garde.PNG](attachment:page%20garde.PNG)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<h3>\n",
    "<span style=\"color: #2980B9 \"> I. Partie théorique :   </span>\n",
    "    </h3>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<h3>\n",
    "<span style=\"color: orange \"> L'intégration numérique :   </span>\n",
    "    </h3>\n",
    " \n",
    " Si f est une fonction continue sur un intervalle [a,b], bien souvent on ne sait pas calculer une primitive de f. Ainsi, si  l'on désire obtenir la valeur de "
   ]
  },
  {
   "attachments": {
    "intgf.PNG": {
     "image/png": "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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "![intgf.PNG](attachment:intgf.PNG)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "il faut parfois se contenter d'obtenir une valeur approchée à l'aide d'une méthode d'intégration numérique.\n",
    "\n",
    "La plupart des méthodes d'intégration numérique fonctionnent sur le même principe. On commence par couper le gros intervalle [a,b] en N plus petits intervalles [ai,ai+1], avec a1=a et aN+1=b. Puis, pour chaque intervalle [ai,ai+1], on essaie d'approcher"
   ]
  },
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    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "![intgf.PNG](attachment:intgf.PNG)"
   ]
  },
  {
   "attachments": {
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     "image/png": "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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    " <h4>Les moyens les plus simples sont :</h4>\n",
    "   <h3><span style=\"color:red \">- Méthode des rectangles à gauche : </span></h3>\n",
    "   \n",
    "   la formule composite des rectangles est donnée comme suit :\n",
    "       \n",
    "   ![c1.PNG](attachment:c1.PNG)\n"
   ]
  },
  {
   "attachments": {
    "vert.PNG": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Géométriquement, cela signifie qu'on approche l'intégrale de f par l'aire des rectangles hachurés en vert :\n",
    "![vert.PNG](attachment:vert.PNG)"
   ]
  },
  {
   "attachments": {
    "ee.PNG": {
     "image/png": "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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<h4> L'erreur de la méthode des rectangle à gauche :</h4>\n",
    "\n",
    "On montre facilement, que l'erreur est plus précisément inférieure à :\n",
    "![ee.PNG](attachment:ee.PNG)"
   ]
  },
  {
   "attachments": {
    "c2.PNG": {
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    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "   <h3><span style=\"color:red \">- Méthode du point milieu : </span></h3>\n",
    "   \n",
    "   la formule composite des points milieu est donnée comme suit :\n",
    "   ![c2.PNG](attachment:c2.PNG)"
   ]
  },
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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Géométriquement, cela signifie qu'on approche l'intégrale de f par l'aire des rectangles hachurés en bleu :\n",
    "![bleu.PNG](attachment:bleu.PNG)\n",
    "\n",
    "<h4> L'erreur de la méthode des points milieu :</h4>\n",
    "\n",
    "On admet que si f est de classe C2 alors l’erreur commise par la méthode du point milieu est majorée par l’inégalité\n",
    "suivante :\n",
    "\n",
    "![eee.PNG](attachment:eee.PNG)"
   ]
  },
  {
   "attachments": {
    "tt.PNG": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "   <h3><span style=\"color:red \">- Méthode des trapèzes : </span></h3>\n",
    "   \n",
    "   la formule composite des trapèzes est donnée comme suit :\n",
    "   ![tt.PNG](attachment:tt.PNG)"
   ]
  },
  {
   "attachments": {
    "marron.PNG": {
     "image/png": 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"
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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Géométriquement, cela signifie qu'on approche l'intégrale de f par l'aire des trapèzes hachurés en marron :\n",
    "![marron.PNG](attachment:marron.PNG)\n",
    "\n",
    "<h4> L'erreur de la méthode des trapézes :</h4>\n",
    "\n",
    "comme contrôle de l’erreur, on a\n",
    "![t1.PNG](attachment:t1.PNG)"
   ]
  },
  {
   "attachments": {
    "cc.PNG": {
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"
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"
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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "   <h3><span style=\"color:red \">- Méthode de simpson : </span></h3>\n",
    "   \n",
    "   La méthode de Simpson consiste en l'approximation suivante :\n",
    "  \n",
    "  ![simp.PNG](attachment:simp.PNG)\n",
    "  ![images.jpg](attachment:images.jpg)\n",
    "  \n",
    "  Cette formule est exacte pour tous les polynômes de degré inférieur ou égal à 3 : on dit que la méthode de Simpson est d'ordre 3.\n",
    "\n",
    "En général, pour appliquer cette méthode d'intégration, on découpe l'intervalle [a,b] en n intervalles de longueur (b−a)/n, et on applique la formule précédente sur chacun des sous-intervalles. On a alors, en posant h=b−a/n :\n",
    "\n",
    "![sii.PNG](attachment:sii.PNG)\n",
    "\n",
    "<h4> L'erreur de simpson:</h4>\n",
    "\n",
    "Lorsque f est de classe C4, on peut estimer l'erreur commise. En notant M4=sup[a,b]*|f|, on a\n",
    "\n",
    "![cc.PNG](attachment:cc.PNG)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<h3>\n",
    "<span style=\"color: #2980B9 \"> I. Partie pratique :   </span>\n",
    "    </h3>"
   ]
  },
  {
   "attachments": {
    "font.PNG": {
     "image/png": 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    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<h4>Problème :</h4>\n",
    "\n",
    "On considère les 4 fonctions classiques suivantes :\n",
    "![font.PNG](attachment:font.PNG)\n",
    "\n",
    "==>Le but de ce Projet est de comparer les 4 méthode d’intégrations numériques."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 255,
   "metadata": {},
   "outputs": [],
   "source": [
    "from ipywidgets import interact, interactive, fixed, interact_manual, widgets\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "from math import *\n",
    "from numpy import *\n",
    "%matplotlib widget\n",
    "import ipywidgets as widgets"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<h3> Méthode des rectangle à gauche :</h3>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 256,
   "metadata": {},
   "outputs": [],
   "source": [
    "class RectangleG (object) :\n",
    "    def __init__ ( self,a,b,n,f ) :\n",
    "        self.a = a\n",
    "        self.b = b\n",
    "        self.x = np . linspace ( a ,  b ,  n+1)\n",
    "        self.f = f\n",
    "        self.n = n\n",
    "    def integrate ( self,f):\n",
    "        x= self.x\n",
    "        y=f(x)\n",
    "        h =float(x[1]-x[0])\n",
    "        s =sum( y[0 :-1])\n",
    "        return h*s\n",
    "    def Graph (self,f,resolution =1001):\n",
    "        xl =self.x\n",
    "        yl = f(xl)\n",
    "        xlist_fine =np . linspace (self.a ,self.b ,resolution)\n",
    "        for i in  range( self.n) :\n",
    "            x_rect = [ xl[i], xl[i], xl[i+1], xl[i+1], xl[i]]\n",
    "            y_rect = [0,yl[i], yl[i], 0, 0]\n",
    "            plt.plot ( x_rect, y_rect ,\"r\")\n",
    "        yflist_fine=f(xlist_fine)\n",
    "        plt.plot(xlist_fine, yflist_fine)\n",
    "        plt.plot(xl,yl,\"bo-\")\n",
    "        plt.xlabel('x')\n",
    "        plt.ylabel('f(x)')\n",
    "        plt.title('Methode des rectangles gauches')\n",
    "        plt.text(0.5*(self.a + self.b), f(self.b) ,'I_{}= {:0.8f}'.format(self.n,(self.integrate(f)), fontsize =15))\n",
    "    "
   ]
  },
  {
   "attachments": {
    "cal.PNG": {
     "image/png": 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"
    },
    "ee.PNG": {
     "image/png": "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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<h4> <span style=\"color:indigo \">Remarque (Les caractéristiques de la méthode ) : </span> </h4>\n",
    "\n",
    "=> On remplace f par la fonction en escalier qui prend, sur chaque segment de la subdivision, la meme valeur à l'extrémiter gauche de ce segment que f. Cela revient donc à interpolerla fonction f sur le segment [Xi, Xi+1] par le polynome de Lagrange de degré 0 qui vaut f(Xi)\n",
    "\n",
    "=> Le lecteur intéressé par le calcul de cette majoration pourra se reporter au calcul similaire de l'évaluation de l'erreur commise par la méthode des trapèzes. Cette dernière, en 1/n2, est plus efficace : à précision égale, 100 points de subdivision équivalent, grosso modo à 10 000 points par la méthode des rectangles. Mais cela est très théorique. Tout dépend de la fonction et de l'amplitude de l'intervalle d'intégration. Sans oublier les erreurs d'arrondis.\n",
    "\n",
    "<h4> <span style=\"color:indigo \">Calcul d'erreur théoriquement : </span> </h4>\n",
    "on a :\n",
    "\n",
    "![ee.PNG](attachment:ee.PNG)\n",
    "\n",
    "![cal.PNG](attachment:cal.PNG)\n",
    "\n",
    "<h4> <span style=\"color:red \">=> donc l'erreur de la méthode des rectangle à gauche va étre inférieur au égal à 0.066 </span> </h4>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<h3> Méthode des points milieu :</h3>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 257,
   "metadata": {},
   "outputs": [],
   "source": [
    "class pointsMilieux( object ) :\n",
    "    def __init__(self, a, b, n, f):#initialiser les paramètres du classe\n",
    "        self.a = a\n",
    "        self.b = b\n",
    "        self.x = np.linspace(a, b, n+1)\n",
    "        self.f = f\n",
    "        self.n = n\n",
    "    def integrate(self,f):\n",
    "        x=self.x# contiens les xi\n",
    "        h = float(x[1] - x[0])\n",
    "        s=0\n",
    "        for i in range(self.n):\n",
    "            s=s+f((x[i]+x[i+1])*0.5)\n",
    "        return h*s\n",
    "       \n",
    "    def Graph(self,f,resolution=1001):\n",
    "        xl = self.x\n",
    "        yl=f(xl);\n",
    "        xlist_fine=np.linspace(self.a, self.b, resolution)\n",
    "        \n",
    "        for i in range(self.n):\n",
    "            \n",
    "            m=(xl[i]+xl[i+1])/2\n",
    "            x_rect = [xl[i], xl[i], xl[i+1], xl[i+1], xl[i]] # abscisses des sommets\n",
    "            y_rect = [0   , f(m), f(m)  , 0     , 0   ] # ordonnees des sommets\n",
    "            plot(x_rect, y_rect,\"g\")\n",
    "            yflist_fine = f(xlist_fine)\n",
    "            plt.plot(xlist_fine, yflist_fine)\n",
    "            plt.plot(m,f(m),\"r*\")\n",
    "            plt.xlabel('x')\n",
    "            plt.ylabel('f(x)')\n",
    "            plt.title('Méthode du point milieu')\n",
    "            plt.text( 0.5*( self.a+ self.b ) , f(self.b ) , 'I_{} ={:0.8f}'.format(self.n,self.integrate( f ) ) , fontsize =15 )"
   ]
  },
  {
   "attachments": {
    "eee.PNG": {
     "image/png": 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"
    },
    "tt2.PNG": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<h4> <span style=\"color:indigo \">Remarque (Les caractéristiques de la méthode ) : </span> </h4>\n",
    "\n",
    "- La méthode du point milieu nécessite deux calculs des dérivées (fonction f) à chaque pas de temps. C'est deux fois plus que la méthode d'Euler, mais ces calculs supplémentaires sont largement compensés par le fait que la méthode est d'ordre 2, c'est-à-dire que l'erreur évolue comme h2 lorsque le pas de temps est assez petit\n",
    "\n",
    "<h4> <span style=\"color:indigo \">Calcul d'erreur théoriquement : </span> </h4>\n",
    "\n",
    "on a :\n",
    "\n",
    "![eee.PNG](attachment:eee.PNG)\n",
    "\n",
    "![tt2.PNG](attachment:tt2.PNG)\n",
    "\n",
    "<h4> <span style=\"color:red \">=> donc l'erreur de la méthode des points milieux va étre inférieur au égal à 0.00074 </span> </h4>\n",
    "<h4> <span style=\"color:red \">=>L'erreur est deux plus petite que celle donnée par la méthode des rectangles à gauche</span> </h4>\n",
    "<h4> <span style=\"color:red \">=>L'erreur est deux fois plus petite que celle donnée par la méthode des trapèzes.</span> </h4>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<h3> Méthode des trapéze :</h3>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 258,
   "metadata": {},
   "outputs": [],
   "source": [
    "class Trapezoidal (object) :\n",
    "    def __init__(self, a, b, n, f):\n",
    "        self.a = a\n",
    "        self.b = b\n",
    "        self.x = np.linspace(a, b, n+1)\n",
    "        self.f = f\n",
    "        self.n = n\n",
    "    def integrate(self,f):\n",
    "        x=self.x\n",
    "        y=f(x)\n",
    "        h = float(x[1] - x[0])\n",
    "        s = y[0] + y[-1] + 2.0*sum(y[1:-1])\n",
    "        return h * s / 2.0\n",
    "    def Graph(self,f,resolution=1001):\n",
    "        xl = self.x\n",
    "        yl = f(xl)\n",
    "        xlist_fine=np.linspace(self.a, self.b, resolution)\n",
    "        for i in range(self.n):\n",
    "            x_rect = [xl[i], xl[i], xl[i+1], xl[i+1], xl[i]] # abscisses des sommets\n",
    "            y_rect = [0   , yl[i], yl[i+1]  , 0     , 0   ] # ordonnees des sommets\n",
    "            plot(x_rect, y_rect,\"m\")\n",
    "        yflist_fine = f(xlist_fine)\n",
    "        plt.plot(xlist_fine, yflist_fine)#plot de f(x)\n",
    "        plt.plot(xl, yl,\"cs\")#point support\n",
    "        plt.ylabel('f(x)')\n",
    "        plt.title('Méthode des Trapézes')\n",
    "        plt.text( 0.5*( self.a+ self.b ) , f(self.b ) , 'I_{} ={:0.8f}'.format(self.n,self.integrate( f ) ) , fontsize =15 )\n",
    "            "
   ]
  },
  {
   "attachments": {
    "t1.PNG": {
     "image/png": 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"
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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<h4> <span style=\"color:indigo \">Remarque (Les caractéristiques de la méthode ) : </span> </h4>\n",
    "\n",
    "- La méthode des trapèzes est la première des formules de Newton-Cotes, avec deux nœuds par intervalle. Sa rapidité de mise en œuvre en fait une méthode très employée.\n",
    "- la méthode des trapézes est plus précise que la méthode élémentaire, dite des rectangles, correspondant aux sommes de Cauchy-Riemann, consistant à remplacer la fonction initiale par une approximation en escalier.\n",
    "- A subdivision égale, cette méthode apparaît a priori comme plus précise que celle des rectangles, principalement pour une fonction à variation rapide (dérivée forte).\n",
    "\n",
    "<h4> <span style=\"color:indigo \">Calcul d'erreur théoriquement : </span> </h4>\n",
    "\n",
    "on a :\n",
    "![t1.PNG](attachment:t1.PNG)\n",
    "\n",
    "![tt0.PNG](attachment:tt0.PNG)\n",
    "\n",
    "<h4> <span style=\"color:red \">=> donc l'erreur de la méthode des trapézes va étre inférieur au égal à 0.00148 </span> </h4>\n",
    "<h4> <span style=\"color:red \">=>L'erreur est deux fois plus grande que celle donnée par la méthode des points milieux.</span> </h4>\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<h3> Méthode de simpson :</h3>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 259,
   "metadata": {},
   "outputs": [],
   "source": [
    "class Simpson (object) :\n",
    "    def __init__ ( self ,a, b,n, f ) :\n",
    "        self.a = a\n",
    "        self.b = b\n",
    "        self.x = np.linspace(a,b,n+1)\n",
    "        self.f = f\n",
    "        self.n = n\n",
    "    def integrate ( self, f) :\n",
    "        x=self.x\n",
    "        y=f(x)\n",
    "        h=float(x[1] - x[0])\n",
    "        n =len(x)-1\n",
    "        s = y[0] + y[-1] + 4.0*sum(y[1:-1])\n",
    "        return h * s / 4.0\n",
    "    def Graph ( self,f, resolution=1001) :\n",
    "        xl=self.x\n",
    "        yl= f(xl)\n",
    "        xlist_fine=np.linspace(self.a , self.b,resolution)\n",
    "        for i in range (self.n) :\n",
    "            xx = np.linspace(xl[i] ,xl[i+1], resolution)\n",
    "            m=(xl[i]+xl[i+1])/2\n",
    "            a= xl[i]\n",
    "            b= xl[i+1]\n",
    "            l0=(xx-m)/(a-m)*(xx-b )/(a-b)\n",
    "            l1=(xx-a)/(m-a )*(xx-b)/(m-b)\n",
    "            l2=(xx-a )/(b-a)*(xx-m)/(b-m)\n",
    "            P= f(a)*l0+f(m)*l1+f(b)*l2\n",
    "            plt.plot(xx,P,\"r\")\n",
    "        yflist_fine=f(xlist_fine)\n",
    "        plt.plot(xlist_fine,yflist_fine,\"b\")\n",
    "        plt.plot(xl,yl,\"ro\")\n",
    "        plt.xlabel('x')\n",
    "        plt.ylabel('f(x)')\n",
    "        plt.title('Methode de simpson')\n",
    "        plt.text( 0.5*( self.a+ self.b ) , f(self.b ) , 'I_{} ={:0.8f}'.format(self.n,self.integrate( f ) ) , fontsize =15 )\n",
    "                "
   ]
  },
  {
   "attachments": {
    "capp.PNG": {
     "image/png": 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"
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    "uu.PNG": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<h4> <span style=\"color:indigo \">Remarque (Les caractéristiques de la méthode ) : </span> </h4>\n",
    "\n",
    "- La méthode de Simpson consiste à remplacer la fonction ff sur chaque intervalle par une fonction qui sera un trinôme. En effet, nous allons l’approcher par un polynôme de degré 2 qui passe pas les points Mi[Xi, f(Xi))], Mi+1[Xi+1, f(Xi+1)] et par le point au milieu\n",
    "- La courbe de la fonction f est quasiment confondue avec celui obtenue \n",
    "\n",
    "<h4>==> En fait, il existe un unique polynôme de degré 2 qui vérifie les conditions.</h4>\n",
    "\n",
    "<h4> <span style=\"color:indigo \">Calcul d'erreur théoriquement : </span> </h4>\n",
    "\n",
    "on a :\n",
    "![uu.PNG](attachment:uu.PNG)\n",
    "\n",
    "![capp.PNG](attachment:capp.PNG)\n",
    "\n",
    "<h4> <span style=\"color:red \">=> donc l'erreur de la méthode de simpson va étre inférieur au égal à 0.000014 </span> </h4>\n",
    "<h4> <span style=\"color:red \">=> on peut estimer le plus petit erreur par la méthode de simpson on comparant par la méthode des trapèzes ou celle des rectangles. </span> </h4>\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<h3> Fonction Sim pour faire appel aux trois méthodes:</h3>\n",
    "\n",
    "- création d'une fontion qui fait appel à tout les classes"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 260,
   "metadata": {},
   "outputs": [],
   "source": [
    "def sim(a,b,n,f):\n",
    "    Trap = Trapezoidal(a, b, n, f)\n",
    "    Simp = Simpson(a, b, n, f)\n",
    "    Rect = RectangleG(a, b, n, f)\n",
    "    Pm = pointsMilieux(a,b,n,f)\n",
    "\n",
    "    #fig = plt.figure(figsize=(10,10))\n",
    "    ax = fig.add_subplot(221) \n",
    "    grid()\n",
    "    Trap.Graph(f) \n",
    "\n",
    "    ax = fig.add_subplot(222)\n",
    "    grid()\n",
    "    Simp.Graph(f)\n",
    "\n",
    "    ax = fig.add_subplot(223)\n",
    "    grid()\n",
    "    Rect.Graph(f)\n",
    "\n",
    "    ax = fig.add_subplot(224)\n",
    "    Pm.Graph(f)\n",
    "    grid()\n",
    "\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 261,
   "metadata": {},
   "outputs": [],
   "source": [
    "output = widgets.Output() \n",
    "with output:\n",
    "    fig= plt.figure(figsize=(5,6))\n",
    "\n",
    "fig.canvas.toolbar_position = 'bottom' "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 262,
   "metadata": {},
   "outputs": [],
   "source": [
    "int_slider = widgets.IntSlider(value=1, min=1, max=50, step=1, description='N')\n",
    "color_picker = widgets.ColorPicker(value=\"blue\", description='color')\n",
    "text_a= widgets.IntText(value=-1, description='a', continuous_update=False)\n",
    "text_b = widgets.IntText(value=1, description='b', continuous_update=False)\n",
    "select = widgets.Dropdown(options={'1/(1+x**2)':lambda x:1/(1+x**2),\n",
    "                                    'sin(x)':lambda x: sin(x),\n",
    "                                    'cos(x)':lambda x:cos(x),\n",
    "                                    'x**2-x+5':lambda x:x**2-x+5},description='fonction f') \n",
    "button = widgets.Button(description=\"Simulation\")\n",
    "\n",
    "# callback functions\n",
    "def update(change):\n",
    "    \"\"\"redraw line (update plot)\"\"\"\n",
    "    fig.clear() \n",
    "    sim(text_a.value,text_b.value,int_slider.value,select.value)\n",
    "   \n",
    "def line_color(change):\n",
    "    \"\"\"set line color\"\"\"\n",
    "    fig.clear()\n",
    "    sim(text_a.value,text_b.value,int_slider.value,select.value)\n",
    "\n",
    "def on_button_clicked(b):\n",
    "    with output:\n",
    "        fig.clear()\n",
    "        sim(text_a.value,text_b.value,int_slider.value,select.value)\n",
    "\n",
    "int_slider.observe(update, 'value')\n",
    "color_picker.observe(line_color, 'value')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 263,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "dcad1122b0e548159423fd3ba27627e3",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "HBox(children=(VBox(children=(IntSlider(value=1, description='N', max=50, min=1), ColorPicker(value='blue', de…"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "controls = widgets.VBox([int_slider, color_picker,text_a, text_b,select,button])\n",
    "button.on_click(on_button_clicked)\n",
    "widgets.HBox([controls, output])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<h3> <span style=\"color:red \">Conclusion :</span></h3>\n",
    "\n",
    "- Toutes les méthodes précédentes consistent à interpoler la fonction par un polynôme, puis à remplacer le calcul de l'intégrale de celle-ci par l'intégrale du polynôme d'interpolation.\n",
    "- Pour les méthodes des rectangles, on interpole la fonction en un seul point avec un polynôme constant (à gauche, milieu ou droite de l'intervalle); la méthode des trapèzes utilise l'interpolation de la fontion par un polynôme du premier degré ( $ P(x)=ax+b$ ) aux deux extrémités de l'intervalle; enfin, la méthode de Simpson utilise un polynôme d'interpolation de degré 2.\n",
    "\n",
    "<h4>==> on peut conclure que la méthode de Simpson est la méthode la plus précis. elle nous permet d'obtenir la plus proche estimation\n",
    "\n",
    "==> On peut construire ainsi des méthodes d'intégration numérique d'ordre quelconque, en augmentant le degré du polynôme d'interpolation. Il s'agit plus généralement des méthodes de Newton-Cotes.</h4>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<h3><span style=\"color:red \">Enregistrement de la simulation sous forme de vidéo :</span> </h3>"
   ]
  },
  {
   "attachments": {
    "simulation.gif": {
     "image/gif": 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NBphAuJCT+IwqEASJhlJYYJctKRBnsGxjMAJRmFS6dQYqMJcpYHzFxYIk0HoyOJkCgQZNaWEjlmKowICHmJoE+ZawaXkjloty5prb1Q8R2HmzeFLvl5tSeGIa+JpPlZqzKWKx2ZoFdpzKCXDFmZji1ZZAhl7ECZ3thWGumV/AiZcX/nadAddoA7ac4AlpzSmcz9lbyflSOwhTwpWdwTUQwyVV0/mdMZVc4emdwRme+Elip8VYpbWfh1Va3jFaj0VZAypZfkWgjOVYlpVYByqgDvqgg6WglcVZ+eCfEHqhGCpaqdVZmbWh+fmhIBqiIjqiJFqiJnqiKJqiKrqiLNqiLvqiMBqjMjqjNFqjNjoQjZCjOrqjPNqjPvqjQBqkQjqkPXoDdHCkSJqkSrqkPbCkTvqkUBqlUjqlVFqlVnqlWJqlWrqlXNqlXvqlYBqmYjqmZFqmZnqmaJqmapqlN0CkOdoD2BWncjqnc3oDeHCneJqnerqnPbCnenoFeooGc+Cn/oRaqIZ6qHmaBVFwp1pQA0CAqJDqpz4hBZFaqZaap436qHiAA29wqZ76qaAaqqI6qqRaqqZ6qqiaqqq6qqzaqq5KqDeAXT2wmrRaq7Z6q7iaq7q6q7zaq7iKA0KqBS3oBD3aA0GqBRgABTsKBkMgpGcgAuUwpDCABI3QBURABhCgABmgrMFaAVGQoy0gBHPgpjqqBR9ApFrAAh1ArkT6rNE6pLCoo2igdDkaA0TArviar/q6r/zar/76rwAbsAI7sARbsAZ7sAgbsDjgq6vZA8/wsBAbsRI7sRRbsRZ7sRibsROLA5HQsR77sR5bBiZADiBbBR6bCDjwB5GABkCA/gY0YAMqu7I0wAJEEAln8IJ/4LI2UA5oMAMNUANBoLJZALQgGwkwcASRoHRkAALl0AUeYLNAm7Mpmwg/8AeJwAJM4LEtsAQee7NBGwlDCwRgGwU0EARgywIZALRUiwU1EAUyu7Mdq3QeO7RmW7Qg67U5CwR527M/GwRUO7Ruq6hg+wY0EAEfYANvELcd0LFXm7V2+7iQG7mSO7mUW7mWe7mYm7mau7mc27me+7mgG7qiO7qkW7qciwMa+7BV8A2s27qu+7qwG7uyO7u0W7u2C7s5kJu6G4EuGwS7WwW5OXdVAH6dkAUS8ASdcAYT0AQzUARnIAFPYwSdwAJJICCL/iAG3joHneC0c0AHuwsDH1AD6koGFcADLIAEZQC9MtABnQADHgAD0mshubm1nEeKkjcO3GIFLYAEXWB1WLsIAtK9ZxABHRAGGkAHiLMFGjAO28u+2+sB3bu7upu+TrC+S0sOYLABnYC9UTAHA+wBCjwOR9sJW5sGLZAE2st5XeDA21sEEvzCMBzDMjzDNFzDNnzDOJzDOrzDPNzDPvzDQBzEQjzERFzEPZwDt8u6VbAPTNzETvzEUBzFUjzFVFzFVgzFOiAKWrzFXKzFWbAz5NDFVcDFMFADFRCWovC8UCAKGczGQ6C85XC0ZYB6FMAA5VAGIBDGokAGD/AB5dDF/qIAvuLbAWVQATXQAkTwBUSQxiJADp7QAhygxW28xVurxUe7xTCwBKLwBUWwwoGMBGy8AVqsxqKAB+AnCp6wAmvsyXvcx38MyFysyIyMxxgsyrScxhKwerl8yZVcyVvMyqEMy8I8zMRczMZ8zMiczMq8zMzczM78zNAczdI8zdRczdZ8zdgMzTpwxUxcBf3wzeAczuI8zuRczuZ8zuiczuOsA7vQzu78zu98avBcBe8cAyBQAkO2C8cgAeWwC2GwAbsQA0VQBhigAkKwC+nbz+18we9svP18DD/QztO6Cyt8wUs7gLuwtONABhRQAVDgzwDtzlsr0UbgzhOdGyu8/gsT/c/tvM8KrdGg0c8p7c4OvQtnAATw3M4YvbS07AUckNF5rM/8vBhxjATDMNIj7c4zvQuKnNNO/dRQHdVSPdVUXdVWfdVYndVavdVc3dVe/dVgHdZiPdZkXdZXrQPq/M3bxE1s3dZuLTuqENdyPdeqMLRlKw50bQVz3QUCUAYQoARaYAEJgAFNYAwtEGtFoBoLwABCoAqvtgJEoApHnQEhQA5cgAET8AHjoAo/2QSqMK2qUNEPYAEOoAST7QBMoBpLgEPlENNy3QJMENeqkQEVUA7YSgEa0LQd8NlIoAqqgQFE4NJyDQMY8ABIYAwrsCeafdmZvdl8XQ50Ldkt/pABqH3UF+AAHCDdlI0GEUDbvQ0GDFABDRDbXVABKuAEcb3Ccv0CvR3d7v3e8B3f8j3f9F3f9n3f+J3f+r3f/N3f/v3fAB7gAj7gBF7g9t0Dv0QF97DgDN7gDv7gEB7hEj7hFF7hD94D/K3X+Q0GH6AK5EsOBi7fTvvasR3i8r0FwcHfwl3f6q0KYtDhJh7jMj7jNF7jNn7jOJ7jOr7jc90DFr7gCv7jQj7kRF7kDI7h+00F+m0GLOAAFaAEOz6Pce0CDHAEOY4GOADiKq4C0E3fL9AARSDZKQAFPF7mZn7maJ7mar7mbB7gPv7jHupWDpu6E0sFdH7neJ7ner7n/nze537+54Ae6II+6IRe6IZ+6Iie6Iq+6Iyu6D3wUnHeVnOu53be6JZ+6Zie6Zq+6Zze6Z7+6aAe6qJusY/uUpHOVpOe55U+6qze6q7+6rAe67I+67Re6xFb6i116muV6ni+6rb+68Ae7MI+7MRe7MYu6LjOUrquVlPQA87+7NAe7dI+7dRe7dZ+7die7dq+7dze7d7+7eAe7uI+7uRe7uZ+7uie7uq+7uze7u7+7uW+7KZ1o/Re7/Z+7ysl7/i+7/ze7yaq7/4e8AI/8G8J8AR/8Aif8JBm8Arf8A7/8KrF8BA/8RRf8V4l8Raf8Rq/8U2F8Rz/8SAf8jzl8SJf/vImf/L5TqNvYAMmUAImgLgoH/MyL1UkX5DJ8GQCMa0mVQUmUAWqkA+qwPPveXk6P/NGD541b4k3/21Fr1gmwAclxQcmYKCY5wIFUH9Hn/WwmfSVmAwSIAMc0JBYLxA2MPT5UAU2cIFlAARNr/Vub4lcT4lejw4uwARtnw8m8PMmpQovbwN+//eAH/iCP/iEX/iGf/iF71N3//aMj3lxn4FzLwYa4AJjnw8lkFIlgPiav/mc3/mCr/iVz/FdUACk39cgcJkztfiN31qPj4Fz35BXX1J5f1J87/m2f/u47/egX/JdgH41ZfWhv/qs1foX+PplgACVX/YnhfYZqPoa/t/7A4HH62D1GGCEUDatMoAAAiAGCFAAYS8Qa+/8wu9WxB+bb/D0UT/1449io0/6RoDHYuABDckB0D+t8JsPdS/2LSH+679W5R+bAFHFRBVV+VQJrJJP4UKGDR0+hBhR4kSKFS1exJhR40aOHT1+tNjFyMIyIETmE+PhJAwkLJNFKBBz5EKWIG3exJlT506ePXlO8RlU6FCHb2yYKGHCxhuiTZ0+hRpV6sSTCkumzNeFw0kXLZHkc8HkYc2pZc2eRZt2IVC1bd2+hRtX7tyKVfOVXOeiwAIPZRDs9Yryb4GvNAvTRZxYsVS2ix0/hhxZcmKsWidfxpwZZGPNnT1//gYdWu8AsaFNn5bMGfVq1q1dv4Yd27Vq2bVt38adW/fujbR5/wYeXPhw4nN9F+9ZQvly5s2dP4ceXfp06tWtX8feHPl27t3bHvd+s0R4iuMxmiefXv16m+DZb0T/fmH8ivTl38d/333++vzz2Z8IQP8GJFC4/Qp8SMD1zLOgQQcfdFAhBRGksELYDrRQQv8YBKBDDz8EwAINMySxRNYwZA+v8hpKRgV0FEJGBHa84xBEEEX8z0Qdd/QMxfVUDJBFF2GUkUaFLLDxxhF5ZLJJx3wszq8COMgHhgJIK+kOmARYp4sFBGiIvmRYsMCAI2I8Q8YxiEAGAQM2mBG4GpPs/hDHCZ3EM0+zoCQOhpFcoEGDdcTQoKQXRvLTsjBZZOGJFtNMk501Y1giHzCOCG5OOu3Us1NPz+JzuLAUOikZCUpqQayU7JpPyBdheEKESNd8wQBbO8j0SDo95PRTX38lKlTh/KzSBEEJNRRRI1hdUqExHVUBUhnB6IBS4jRNsldgt+UWJ2GDe6kALq3EEgQtxe1yJobEJNPMGNmp9QI23TQz13yQ3DXEZrvlt1+Mvh3wTvKwtVFbfw9GGCKAN2T4XggfNjhhiRNemD+Bw7t43Yk3prjTjLv7eF+ORwa24vxC3g5llElmuUST8csuZplnprlmm1duOWcKX9a5Z59//laMZ6CHJrroqYQ2Ommll/bW45ufhjpqqaVjumr5kGYPZ4ut5lo9rBfEU+uux5bta/XEhplstZEzOz2073t7bblDa3tgidasMO6599asbowjAsMAXCnUm2/DUzNRjL9IWxSiHvAm/HDJyzYxjXWqPExkhiBHsPDJP6fLb+DCJazxhcZws1LOC/QcdNffEv23Ubsy/aHVCWz9dd3Rip23LmLCQF3NTyci792P79vjsJFnfrLeU16+eemfVN7J3KfH/qfqm7w+e+9veh657o38vvzvnJ46ffXXz85893l/P3750wt/fvvvpx5//ffHrf5r2QdgAAWoHP4VEHzbY9L4/gwoP/8NR4HceeAC3ddA4URQfBLEoEYoaC/uZdCDFtmgnKL3QRIqzETMapVD3pUhC5aweSGMDQpFhjo4sdCFN2QIDGHjJXG9SGMNyUKkbIhDHOrwNZZhFoBWaKEWElF3RnTNSbDyw4Ys0XhOdCEUW4NE4eVIhUViIhazeMIF9LB2C7Fi5MRIQi3ipokOXCMbEcijN8bxcG28TR05aEcJ4tE2ehQhHzHox9oA8jeGFKTaCCmbATbSkVFLZB8jOUlKUmSRlcTk7i6ZSU5+bpOveWQoRRmzTt7vk65B5G5SWcqinbI1q8wNLFkJNFeyRpZ5nCUD57ijW+ZSZ7VcTS8L/unL9wHzKYqjUkXUYCofSsRKZyTSjJBBAkthKo0PmcGLxiCEfMTAVku4FGx6EAmGmCCFxCyfMZ0iw4ew8yGjouLpEFDDbSajBpKaZ5wgUisBoM4ARJDRu7L5mjKRMx8NKABbhInOkamTKFJCwpbWYSV0Ka4AHYAJEiSADnIxQUqly4q4oBnEIm3hCeEkaZzCOYYKoAMMG4hBEGQlAmvl413hfE0DDBAJhPbgnAzNnkOJIhJi+YlYYemKqWRgBFMFalCF2ugUwVKan6KxSPes6RJxCgYOiKCZDnmB6ooHG4QWwKdVBar0hDoUkYwqJTVxQRM2SiqmSmCp+TAVXqQK/k+02jSg1IRVNNtkKwNUKqwQSUYLKuVXfbrGAmfta1qRt1ahEFVZcGUC7Vywgro6FVkgGJQHFsJXzd20UlkF41YB+lWaPIF4qpRsUIkjknCN6ythkRIHFKdRjl7Jo6DdK1VLKyOTVjOaCgnnS9mh3Ib40wACcCmmdLPQ2CKMsp65mD0b65GBTre607tuZzKG04+QN5bfVesudURd9PIrvJphLyjby7z3ZmaU98VvdOY72f32N53+BTD26htgArusNXxAcIIVvGAGN9jBD4ZwhCU8YQcX2MIZGbBEKLxhDnfYwx++cIgrkuGIfNjEJ0Zxh0W84oiQGCIphnGMZcwH/hbXuCEufsiMdbzjDdvYx/nAsUN4rAU3DaAJZRDBHyKMZCUruApoUAEUeFzhH9c4yA3ZMRpY0AQ+aOEDFGaygrtQhClDuMpWPvCOXZCEBCMZyREYQA0QIAAoRNnNIrBCC2xFBD0LIcpdsFUS/BLoHZ+ZxVdmyJRdYAAju1kCTejCBv7gAj9D4c5WqEKXPzBmKN9AApaWgKeh4OVCG1rEiF5ImflQhlCLgMlj5kMMKn3nP3jTAFspApRp8GU+sECmfyC1jk196jTPmNVS7rSrkwxrWUdZCyBA8gzIrBVOq0DUrL5BkoM942GHGNUK4TGgA01rZifBmxaAtqvdlAER/hC50uIWtLZ5ze1uW/jb+VB1vstcb3sXW9//jjG/C3xvgBccxgInMMENvnAQIxzACmd4xCns8If7W+IXpzLF9wtxjHd8wRrv771BPnLnkdzkJTt5yj0lcpW3PC4sd3nM1QJzmde8LDS3ec6fgnOd91woPPd50HcCdKEXvT1GRzr9kr707hCd6U+3JNSlHhynT93qa7l61m9Tda1Lnetdf/rXwb50sY8d6WU3e9HRnvagr53tPXf723Med7nXnO51j/nd8d5yve895X33u8kBH/iRD57wGjf84R2eeMULnPGNr/fjIT9syU/e0JW3fJUxn3kfb57zaP586HcuetIH/qv0p/eJ51Gf8NW3vmmuh71HVB/7+c6e9ui1/e2rm3vdS5b3vQfq74GPTuEP35fFN/4skZ/8Ui6f+Zx0/vMxGX3pU5L61Y/k9bEvSO1v347d9/4awR9+LI6f/EQ0//lvmH71l5D97f/g++GfQfnPX5L2X3398V9A/e9/f/33P/wBwAC0nwEkQF06wNAzwAScIAb8vAV0wO+BwAiULQqcvAm0wPTKwMbDwA3kLw88vA4EwScaQcITwRIEnRNEwclRwRW8IxfEuxaEwb2RwRmUmxq0QUXKQbbDwR3smh70QasBwiBkmiEkQqUxwiM0miRUQqJhwiakJSi8uieUwp6h/sIqzJkrxEKW0cItbCgvDDswZLouFEOJIcMytC40PDs1NLozZEP3ekOhc8M43JY5pMNfscM7/JQ81MNO4cM+zJM/BEQnEcRBZJJCNMQdQcRENJFFZEQSccRHtJBIlMSdqcS/u8STo8RMHJBN5ET+8MRPxI9QFMWrKUXEO0WKI8VU9BpWRLhVdMXwgMVYbDpajDxb7LZZxMXi0MVdHI5e9EWqC8YzA8Zh5I1iNEbdQMZk7B9mtLFldMbagMZojI1ppMbXsMZrbI1s1MbV4MZuPI1vBEe6GceBK0fWO8eKS0f/Esd1zIx2dMfLgMd4RBx6bK95tMfHwMd8XIx95MfE/vDHfwwdgYytgCTIlzvItDLIhHSLhWTImXtI4otIYnLIidwTi8ylisRIxthIVtLIjhw9kIQ+kRxJkpw+kzxJlLQ+lVxJlsw+l3xJmOQ+mZxJmvw+m7xJnBQ/ndxJniw/n/xJoEQ/oRxKolw/ozxKpHQ/pVxKpow/p3xKqKQ/qZxKqrw/qzSgj8RKidDKrTQhr+SfrgTLGxvL/ytL/RHLswQytTQltixAt5yftDxLuSxLuhxLuwRLvPRKvdxKvsRKv7RKwKRKwZRKwoRKw3RKxGRKxVRKxkRKxzRKyCRKyRRKygRKy/RJzORJzdRJzsRJz7RJ0KRJ0ZRJ0oRJ03RJ/tRkSdVUSdZESdc0SdgkSdkUSdoESdvsSNzcSN3ESN60SN+cSOCMSOF8SOJkSONMSOQ8SOUkSOYUSOf8R+jkR+nMR+q0R+ukR+yMR+10R+5cR+9MR/A8R/EsR/IcR/MER/TsRvXURva8RvekRviMRvl0RvpkRvtMRvw0Rv0cRv4MRv/0RQDdRQHFRQKdum8wMLhkjW/QPgN9Oga1gQRVUNOA0BqQ0An9jAq1UEjEUNDQ0A3NEAc1ug8F0Uns0M4g0RKtEBENuhRVUUs8UQmMURmd0QqsUfC6UQHLURzd0RfqUR/90Q8MUk0a0uNhUVY80lRM0lNc0lJsUlF80k+M/lJOnNJMrNJLvNLqKwAcqMcizZACUAAuhYwslb4CyIcwHVMvJREzPVMx7Uc1/dKFQNM3hdMKYVOFmFOAPLMUAzcU69MTSzVA/VMTG9SGwzdB1Z87xVM3Hcgq49NDFdRHhVRDfVRJ9dP9UdRF1VNHvdRKvdRJ9bBAjdRP/VT8ydR8AIc8lQv+9NRRRVRS7VRYJVRMfYhIUFW4YNVYddVZBVUVK9QFO4MUKAcz61VfLdYeo9WHwINbbcg9ZbAssIFoldalaLBfXbAcwIMsiAIqizAuAIFhzbgHSwQZGAJiPVY+OAM92wBwrdZj7QIQSIF4TQEMcIJ2LdYXoAADyIAV/qiAcrVXU40IKVAA43DWBZMBB0DYhKXXdhVXFsiACogAMmPYB+sCBBiAeg1XBzuDCPinBxPVBtsCB1ACYnWwKFMwLQgCe20wFZgBAygCLRCCGfDXj0vWfEAFPFWAnB3YVS3YWdVYFjiBBwhaIuBWB6vYARhZj7XWBMsCjiValWWwMxiBKNACB2gCqWVXBVtak00wlIXaBWNZfV2BcuVarU1WVCgAC1WAF8XVnk2wg01YhF1YBrNWLaCAEkgAW9EAFphZszVaN1mAhH1ami3WGUhYnepYuv1VNNCzBmiAA2CAx5U0xS1ZKevalFXcYo2yOeBcJSvbBOMfM0VbHDCA/nyQgtJFjFxdMGid1mh9g4ldsEQgMsL6pzmA3QWLgQOgXcH5WgWzNdr1gCYz22KVgQawgRloACGggQfoW9A91s/12sxd2RuQ1xQIgs9FsNAd3XxggBvgXrZtVk5dMDTg3PLt3Ns92TmDgkWTWMptsESAgQPIAMvNWI1V16x13mPFAmCz2kSQgqJlsM/dAswl3JWdATbjAzQYAeylsf1RgC1VCBwggHyoAtQlWPH13d1lNC5zXwYjMjpjXwBmMPiV322tXwZj3DfB3/x9sDNggQX4ABNG3wTjAgyo3hCg3+E1YARWYAbOIAZICAvmWQxuuFZ1sBiYX6U9V8ZdVyWGjjDkFQKSlVUFm4HqjVcSEN78XaA5IAAH+IHUddtQPdeJG+MJ+1gxLuPXleJXRVTNC2NfNWJKZeNdlWNedWMiFuM4RuMpLmI+NtY7/jE9hmM/5rAzzmNCRlZifONCLmMJW9pERmRktdQ2/jEyfURLZkRMTkRNNkROHkRPBkRQ7kNR1kNSvkNTpkNUjsMpCAgAIfkEAQQA/wAsjQK9AS4AVACnCgoSCwsUDAwVDAwWDQ0XDg4YDw8ZDw8aEBAaEREbEhIcExMdFBQeFRUfFhYhFxciFxciFxciFxcjFxcjFxcjFxcjFxcjFxcjGBgkGBgjGBgjGBgjGBgjGBgjGBgjGBgjGBgjGBgjGRkjGRkjGRkkGhokGhokGxskHBwlHR0lICAoIyMrJiYuKSkxLS01MTE5NDQ8NzhAOjtDPD1FPj5HP0BIQEFJQEFKQUJLQUJLQUJLQUJMQUJMQUJMQUJMQUJMQUJMQUJMQkJMQkNMQkNMQkNMQkNMQkNMQkNMQkNMQkNMQkNMQkNMQ0NNQ0RNQ0RNREVNRUZORkdOR0hPSUpQS0xRTU5SUFBTUVJVU1RWVVZXWFhZWlpbXV1dXl5eX19fYGBgYWFhYmJiY2NjZGRkZWVlZmZmZ2dnaGhoaWlpampqa2trbGxsbW1tbm5ub29vcHBwcXFxcnJyc3NzdHR0dXV1dnZ2d3d3eHh4eXl5enp6e3t7fHx8fX19fn5+f39/gICAgYGBgoKCg4ODhISEhYWFhoaGh4eHiIiIiYmJioqKi4uLjIyMjY2Njo6Oj4+PkJCQkZGRkpKSk5OTlJSUlZWVlpaWl5eXmJiYmZmZmpqam5ubnJycnZ2dnp6en5+foKCgoaGhoqKio6OjpKSkpaWlpqamp6enqKioqampqqqqrKysra2urq6wr6+xsLCysbGzsrK0srO1s7O2tLS3tLW3tbW4tra4t7e5uLi6ubm6u7u7vLy8vb29vr6+v7+/wMDAwcHCwsLCw8PDxMTExcXFxsbGx8fHyMjIycnJysrKy8vLzMzMzc3Nzs7O0NDQ0dHR0tLS09PT1NTU1dXV1dXW1tbX19fX2NjY2dnZ2tra29vb3Nzc3d3d3t7e39/f4ODh4eHh5OTk5+fn6enp7Ozs7+/v8fHx9PT09vb2+Pj4+fn5+/v7/Pz8/f39/f39/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+Ms0yCP4AMST7R7CgwYMIEypUiAHJwIUQI0rE8M+hxIsYC1Ks+DCjR4YFLX4caXAjQZEkR5o82TFlxpUsXXqE+W8dSpkRaf47dxMnyITkevo8qJNgOCRDF5pEdxKJU6RJE25EF4DWvyezokKkSDWZi3/hvmpl2PVfFWFms45FiCTAw2Qt/ll7sVZiFWv/YNSNOK6FGGd7AwseTLiw4cOIEytezLix48eQI0ueTLmy5cuYM2vezLmz58+gQ4seTbq06dOoLfvzx3g1a8WsV8MmKBvx63+1Dd/GvXtw79y+EQIP3Jt38bXHXQdPqJz4wuFjb792DV3rdNnVkRuPfRy5cuzdrQnXBg87dvnaAQEAIfkEAQgA/wAsKAJDAXEAjQCnCgoQDAwTDg4WEBAYEhIaExMcFBQdFRUfFRUgFhYgFhYhFxciFxciFxciFxcjFxcjFxcjFxcjFxcjFxcjFxcjFxcjFxcjFxcjGBgkGBgjGBgjGBgjGBgjGBgjGBgjGBgjGBgjGBgjGBgjGBgjGBgkGRkkGRkkGhokGhokGxslHBwlHR0mHh4mICAnIiIoJCQqJiYrKCgsKiouLCwvLy8xMTEzNDQ1Nzc3ODg4OTk5Ojo6Ozs7PDw9PT0/Pj9APz9CQEBDQUFEQkJFQkNFQ0NGRERHRUVHRkZIR0dJSEhJSUlKS0tLTExMTU1NTk5OT09PUFBQUVFRUlJSU1NTVFRUVVVVVlZWV1dXWFhYWVlZWlpaW1tbXFxcXV1dXl5eX19fYGBgYWFhYmJiY2NjZGRkZWVlZmZmZ2dnaGhoaWlpampqa2trbGxsbW1tbm5ub29vcHBwcXFxcnJyc3NzdHR0dXV1dnZ2d3d3eHh4eXl5enp6e3t7fHx8fX19fn5+f39/gICAgYGBgoKCg4ODhISEhYWFhoaGh4eHiIiIiYmJioqKi4uLjIyMjY2Njo6Oj4+PkJCQkZGRkpKSk5OTlJSUlZWVlpaWl5eXmJiYmZmZmpqam5ubnJycnZ2dnp6en5+foKCgoaGhoqKio6OjpKSkpaWlpqamp6enqKioqampqqqqq6urrKysra2trq6ur6+vsLCwsbGxsrKys7OztLS0tbW1tra2t7e3uLi4ubm5u7u7vb29vr+/wMDBwcHCwsLDw8PExMTFxcXGxcbHxsbIxsfIx8fJx8jJyMjKyMnKycnLycrLysrMy8vMy8zNzM3Ozc3Pzs7Pz9DQ0dHR0tLT1NTU1dXW19fX2NjY2dnZ2tra29vb3Nzc3d3d3t7e39/f4uLi5OTk5+fn6urq7Ozt7u7v8PDx8fHy8/P09PT19fX29vb49/f4+Pj5+fn6+vr7+/v8/Pz8/f39/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+Ms0yCP4AMSj7R7CgwYMIEypcyLChw4cQEWIgMjCixYsYM2o0iOEfxY0gQ4rM2NFjxZEoU6osaVKly5caWbaESbPmQpkzbeq0iTPnzp8rEbr7CLToyJ7/zBE1ypSkwnFLm0p9iJQgOCJTszpkmY4gka9ftYpVWDJdAFr/iswayzZhR7PKZvwDJ7etXYIY4P5j8mvv2rttiQSoqCzGv2s0ACsmyOTaPxuLFYuLISZa5MuYM2vezLmz58+gQ4seTbq06dOoU6tezbq169ewY8ueTbu27du4c+vezbu379/AgwsfTry48ePIkytfzry58+fQo0ufTr269evYs2vfzr279+/gw3WLH0++vPnz6NOrX8++vfv38OPLn0+/vv37+PPr38+/v///AAZ4kT/+NEdggcsVSGCCBC2YHIL/OHgchBFSSJyFEl6IUIbCWVihh7+BeKCGCY3Y4UIc+gYhggem2BuLC7oY4ocKghjiiDHa+KKDOSaooI8OBgQAIfkEAQcA/wAsWgHFANoAkQCnCQkOCwsQDAwSDg4UDw8WEBAYEREZEhIbExMcFBQdFRUeFRUfFhYgFhYhFxciFxciFxcjFxcjFxcjFxcjFxcjFxcjFxcjFxcjGBgkGBgjGBgjGBgjGBgjGBgjGBgjGBgjGBgjGBgjGRkjGRkjGRkkGhokGhokGxskHBwlHR0lHh4mHx8mISEoIyMqJCQrJiYtJycuKSkvKiowLCwxLi4zMDA0MjI1NDQ3NjY4Nzc5OTk6Ozs7PDw8PT0+Pj5APz9BQEBCQUFFQkJGQkNGQ0NGRERHRUZIRkdKSEhLSUlMSkpNS0tOS0xPTU1RT09TUVFVUlNXVFVZVldbWFldWVpeWltgW1xhXF1iXV5jXl5kXl9lX19mX2BnX2BnYGBoYGFoYGFoYWFpYWJpYWJpYWJqYmJqYmNqYmNqY2RqY2RrZGVrZGVrZWZsZmdsZ2dtaGhtaWpuamtvbGxwbW5xb29ycXFzc3N1dnZ2eHh4eXl5enp6e3t7fHx8fX19fn5+f39/gICAgYGBgoKCg4ODhISEhYWFhoaGh4eHiIiIiYmJioqKi4uLjIyMjY2Njo6Oj4+PkJCQkZGRkpKSk5OTlJSUlZWVlpaWl5eXmJiYmZmZmpqam5ubnJycnZ2dnp6en5+foKCgoaGhoqKio6OjpKSkpaWlpqamp6enqKioqamprKysr6+vsbGys7S1tba3uLi5ubq7vLy+vr/AwMDCwcLEw8PGxMTHxcXIxcbJxsfJxsfKx8fKx8jLx8jLx8jLx8jLx8jLx8jLx8jLx8jLx8jLx8jLx8jLx8jLyMnMyMnLyMnLyMnLyMnMyMnMyMnMyMnMyMnMyMnMyMnMyMnMycrMycrNysrNysvOy8zOzM3Pzc7Qz8/R0dLU1NTW1dbX19jZ2dnb29vc3t7f4eHi5OTl5+fn6enq7Ozt7+/v8vLz9/f3+vr6/Pz8/f39/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+Ms0yCP4AMTj7R7CgwYMIEypcyLChw4cQI0qcSLGiRYQYhgy8yLGjx48gQ4qkiOGfxpEoU6pcyfJjSZMbW8qcSbMmyJcwbercybMnQZw5fQodStQj0KBFkypdihHhSaZQowo9+m/dU6lYs7ak+i/dVa1gwxpVaO6r2LNoH3IlOG5I2rdwFeJUR3CIXbtx8+Z9qS5Aq39F/uodDLdkX2cz/o1LTLjxWQyH/zGpJVmw48tYhwTY6CzGP280MIsOy8TbvxujU2MtF4OMNtWwY8ueTbu27du4c+vezbu379/AgwsfTry48ePIkytfzry58+fQo0ufTr269evYs2vfzr279+/gw8uLH0++vPnz6NOrX8++vfv38OPLn0+/vv37+PPr38+/v///AAYo4IAEFmjggQgmqOCCDDbo4IMQRijhhBRWaOGFGGao4YYcdujhhyCGKOKIJJZo4okopqjiiiy26OKLMMYo44w01mjjjTjmqOOOPPbo449ABinkkEQWaeRx/vhzY5JK1qhkkk4SBOWMTf4zZYxVWpmli1teySVCXrK4pZZjplgmk18mhKaYC4WJYpVNMunmiXFCOaeZZD5Zpplo2rknnVP66eSTg04ZEAAh+QQBCAD/ACzDAJ4AowA6AKcJCQ4LCxAMDBIODhQPDxYQEBgRERkSEhsTExwUFB4VFR8WFiAWFiEXFyIXFyIXFyIXFyMXFyMXFyMXFyMXFyMXFyMXFyMXFyMYGCQYGCMYGCMYGCMYGCMYGCMYGCMYGCMYGCMYGCMYGCMZGSMZGSQaGiQaGiQcHCUeHiggICoiIiskJC0lJS4mJi8nJzAoKDEpKTIqKjIrKzMsLDQtLTUuLjYwMDcyMjgzMzk0NDk1NTo2Njo4ODs5OTw7Oz09PT4/Pz9BQUJCQkRDQ0VEREVFRUVGRkZHR0dISEhJSUlKSkpLS0tMTExNTU1OTk5PT09QUFBRUVFSUlJTU1NUVFRVVVVWVlZXV1dYWFhZWVlaWlpbW1tcXFxdXV1eXl5fX19gYGBhYWJiYmNjY2RkZGRlZWVmZmZnZ2doaGhpaWlqampra2tsbGxtbW1ubm5vb29wcHBxcXFycnJzc3N0dHR1dXV2dnZ3d3d4eHh5eXl6enp7e3t8fHx9fX1+fn5/f3+AgICBgYGCgoKDg4OEhISFhYWGhoaHh4eIiIiJiYmKioqLi4uMjIyNjY2Ojo6Pj4+QkJCRkZGSkpKTk5OUlJSVlZWWlpaXl5eYmJiZmZmampqbm5ucnJydnZ2enp6fn5+goKChoaGioqKjo6OkpKSlpaWmpqanp6eoqKipqamqqqqrq6usrKytra2urq6vr6+wsLCxsbGysrKzs7O0tLS1tbW2tra3t7e4uLi6urq8vLy9vr6/v8DAwMHBwsPCw8TDxMXExMbFxcfGxsjGx8nHx8nHyMrHyMrIyMrIycvIycvJysvJyszKyszLy83LzM3Mzc7Ozs/Pz9DQ0NHR0tLT09TU1dXW1tfY2NjZ2dna2trb29vc3Nzd3d3e3t7f39/i4uLl5eXo6Ojr6+vu7u7x8fHz8/P29vb39/f5+fn6+vr7+/v8/Pz9/f3+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7///8yzTII/gAxKPtHsKDBgwgTKlzIsKHDhxAjSpyoEMOQgRQzatzIsaNHhxj+XfxIsqTJkx5DisSIsqXLlyhVroRJs6bNiDJn3tzJ82ZOnT2DCi35E+jQo0glFk03MqnTpwoJ+JtK1V+5GH2gatValKC4plvDDu1KENwQsWiDyjxHcIhbt2nj+iR4LgCtf0Rmyd1rM2RdZTP+gQvMt7BLDH//MfmlWK/hxyWHBMCo7MW/azUga0bJ5No/HJtDkwz3Qkw00ahTq17NurXr17Bjy55Nu7bt27hz697Nu7fv38CDCx9OvLjx48iTK1/OvLlzyFOfh6UqXau/f9GrO72Onbv2o96zSn8X6r37ePIHxZ+/WZ6g+vU023eXD78lfer1YdKfn//lfvP92VcQd1X9FyBHBEb33oEmXVcVgAyi9KCCBkaoEX4UWhifgxrqh19AACH5BAEIAP8ALL0AnQASABQApwsLEg0NFhAQGBERGxMTHRQUHxYWIRYWIhcXIhcXIxcXIxcXIxcXIxcXIxcXIxcXIxcXIxcXIxcXIxcXIxcXIxcXIxcXIxcXIxgYJBgYIxgYIxgYIxgYIxgYIxgYIxgYIxgYIxgYIxgYIxgYIxgYJBgYJBkZJBkZJBoaJBsbJRwcJR8fKCMjLCYmLikpMS0tNTEyOTU1PTc4Pzo7Qjw9RT4/Rz9ASUBBSkFCS0FCS0FCTEFCTEFCTEFCTEFCTEFCTEFCTEFCTEJCTEJDTEJDTEJDTEJDTEJDTEJDTEJDTEJDTEJDTEJDTENETUNETURFTUVGTUZHTkdIT0lJT0tLUU1NUU9PU1FRVFNTVVVVV1dXWFlZWlxcXF1dXV5eXl9fX2BgYGFhYWJiYmNjY2RkZGVlZWZmZmdnZ2hoaGlpaWpqamtra2xsbG1tbW5ubm9vb3BwcHFxcXJycnNzc3R0dHV1dXZ2dnd3d3h4eHl5eXp6ent7e3x8fH19fX5+fn9/f4CAgIGBgYKCgoODg4SEhIWFhYaGhoeHh4iIiImJiYqKiouLi4yMjI2NjY6Ojo+Pj5CQkJGRkZKSkpOTk5SUlJWVlZaWlpeXl5iYmJmZmZqampubm5ycnJ2dnZ6enp+fn6CgoKGhoaKioqOjo6SkpKWlpaampqenp6ioqKmpqaysrK+vsLGys7O0tba3uLq6u729v7/AwsLCxcTEx8XGyMbHycbHysfIy8fIy8fIy8fIy8fIy8fIy8fIy8fIy8fIy8fIy8fIy8fIy8fIy8fIy8fIy8fIy8fIy8jJzMjJy8jJy8jJy8jJzMjJzMjJzMjJzMjJzMjJzMjJzMjJzMjJzMnKzMnKzcrLzcrLzsvMzszNz83O0M/P0dDR09LT1NXV1tfX2NjZ2tvb3N3d3uDg4ePj5Ojo6e3t7vHy8/X19vj4+fv7/P39/f39/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/jLNMgihAEk4+0ewoMGD/0ggGUjQnz+EBkn8W9jQIUSCEicOfGgRYkaND/91PPhRY8GRBUuarEjyoD+KLFO6VAdTZMiELv+hg+kw5ICePQmac9HHk1GjOA3eJIfkpMOP6UQimTpVqb+M6QC08ueklciKPSVmdfbCH7myFkeSGPuPiqy2WzneRAKAoTMX/sC9sMkXIhVw/mLwRWmwnAsx21jevOi0Y0AAIfkEAQgA/wAsiwCXAD4AGQCnCQkPCwsRDAwTDg4UEBAXEREZExMbFBQdFRUeFhYgFhYhFxchFxciFxcjGBgjGBgjGBgkGBgkGBgkGBgkGBgkGBgkGBgkGBgkGBgkGBgkGBgkGBgkGBgkGBgkGBgkGBgkGBgkGBgkGRklGRkkGRkkGRkkGRkkGRkkGRklGRklGRklGRklGRklGholGholGxslGxsmHBwmICApIyMsJiYvKioyLS01MDA4MjI6NDU8Nzc+OTpAOzxBPT1CPj9DP0BEQEFFQUJGQkJGQkNHQkNHQkNHQ0NIQ0RIRERJREVJRUZKRkdMR0hMSEhNSUlNSktOTExPTU1QT09RUVFSU1NTVVVVVlZWV1dXWFhYWVlZWlpaW1tbXFxcXV1dXl5eX19fYGBgYWFhYmJiY2NjZGRkZWVlZmZmZ2dnaGhoaWlpampqa2trbGxsbW1tbm5ub29vcHBwcXFxcnJyc3NzdHR0dXV1dnZ2d3d3eHh4eXl5enp6e3t7fHx8fX19fn5+f39/gICAgYGBgoKCg4ODhISEhYWFhoaGh4eHiIiIiYmJioqKi4uLjIyMjY2Nj4+PkZGRk5OTlJSUlZWVl5eXmJiYmJiYmZmZmpqam5ubm5ubnJycnJycnZ2dnZ2dnp6enp6en5+fn5+foKCgoaGhoaGhoqKio6OjpKSkpaWlpqamqKioqampq6urra2trq6ur6+vsLCwsbGxsrKytLS1tra3t7e5ubm6urq8u7u9vLy/vb3Avr7Bv7/Cv7/DwMDDwMDEwcHEwcHFwsLFwsLGw8PGxMTHxMTHxcXFxsbEx8fEx8jEyMnFysrHy8vKzc3Ozs7P0NDQ0dHR0tLS09PT1NTU1dXV1tbW19fX2NjY2dnZ2tra29vb3Nzc3d3d3t7e39/f4uLi5eXl6enp7e3t8PDw8/P09vb2+Pj5+vr6+/v8/Pz9/f39/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+////Ms0yCO4AMSz7R7CgwYMIEypcyPAghiIDG0qcSFEhhn9F+lTcyJHhxX81InYc2fGjP4gkU1Y0iVGkypcJWbaE2dGfP48EbxJESbOiTZ0xcxY8x7OnxJs2LQotSK6o0YU6kyKUWVCc06cIgUo1SLUguCJYoRrcStCkuZ1F0oINmxBoTrcfzQWY9Q8JXbZiD269aA7AMhv/wAHGq9DtW50Y5GqEMuwflLuE9bZNWiRAxD4o/FmLERnhp8+gQ39GCMXavxydJRc2/C9cDTHPUo8tGPUna9ltD/8ji7sh0p+7b/eenLS48OFjpRpHzrE48422CQYEACH5BAEHAP8ALH4AlwAZACMApwAAAAEBAQICAgMDAwQEBQUFBwUFBwcHBwgICAkICQoKCgsLCwwMDA0NDQ4ODg8PDxAQEBERERISEhMTExQUFRUVFxYWGBcXGRgYGhgYGxkZGxoaHBsbHB0dHR4eHh8fHyAgICEhISIiIiMjIyQkJCUlJSYlJicnJywnKCkpKSoqKisrKywsLC0tLS4uLjAwMDEyMzMzNTU1NzY2OTc3Ozg5PTk6Pzo7QDs8Qjw9Qz09RD0+RT4/Rj4/Rz8/Rz9ASD9ASEBASEBBSUBBSUFCSUFCSUJCSkJDSkNDSkNESkRES0VFS0ZGTEdHTEhJTUpLTkxNT05OUFBQUVJSUlRUVFVVVVZWVldXV1hYWFlZWVpaWltbW1xcXF1dXV5eXl9fX2BgYGFhYWJiYmNjY2RkZGVlZWZmZmdnZ2hoaGlpaWpqamtra2xsbG1tbW5ubm9vb3BwcHFxcXJycnNzc3R0dHV1dXZ2dnd3d3h4eHl5eXp6ent7e3x8fH19fX5+fn9/f4CAgIGBgYKCgoODg4SEhIWFhYaGhoeHh4mJiYyMjI6OjpCQkJGRkZOTk5SUlJWVlZeXl5iYmJiYmJmZmZqampubm5ubm5ycnJycnJ2dnZ2dnZ2dnZ2dnZ2dnZ6enp6enp6enp6enp+fn5+fn5+fn6CgoKGhoaGhoaKioqOjo6SkpKWlpaampqioqKmpqaurq62tra+vr7GxsbOzs7S0tLW1tba2tre3t7i4uLm5urq6u7u7vLy8vb29vb6+vr+/v8DAwMHBwcLCwsPDw8TExMXFxcbGxsfHx8jIyMnJycrKysvLy8zMzM3Nzc7Ozs/Pz9DQ0NHR0dLS0tPT09TU1NXV1dbW1tfX19jY2NnZ2dra2tvb29zc3N3d3d7e3t/f3+Dg4OHh4eLi4uPj4+bm5ujo6Ovr6+3t7e/v7/Hx8fLy8vT09PX19fb29vj4+Pn5+fr6+vv7+/z8/P39/f7+/v7+/v7+/v7+/v7+/v7++/7++v7++/7+/v7+/v7+/jLNMgjhAP8JHEhwoD9/BRMqLHgQ4cKHBBH6AwWxokNQDisqvHhQ40aBFDt6jAhSoMiR/y4azOhRpcmTGl2+ZAlR5kt9LUsyxBkTpMOGMB9ylEjTYkqMRFGmPBgy6b8MySyKBEWVqsAMR6Ki7Ogww7+sWxteFQhW6UALDXvwMisQbdq1Zt2+jQv0oFqlchu+uzsyb8N0fDX6bVguMEQDdYGGa+AxQsN1B03ssNGjhkcKB9cpoOXPRCulmDW/muAvXAnQ6xKc+CdCmL8iKFD2UACXlwl/1lawHdjEmr8XuwVaM8EFGMqAACH5BAEIAP8ALFIApwBoAB4ApwAAAAEBAQICAgMEBQUFCAcHCgkJDwsLEgwNFQ0OGA4PGg8QGw8RHRARHhASHxESIBETIRETIhITIhITIxIUIxIUIxIUIhMUIhMVIhQVIhQVIhUWIhUXIhYXIhgZJBocJR0eJiAhKCEiKiMkKyQmLSYnLicpMCgpMSkqMikrMyorMyosNCssNSstNSstNiwuNi0uNi0vNy4vNy4wNy8xODAxODEyODIzOTQ1OjU2Ojc3Ojk5Ozs7PD09PT4+Pj8/P0BAQEFBQUJCQkNDQ0REREVFRUZGRkdHR0hISElJSUpKSktLTExMT01NUU5OUk9PU09QVFBRVFFRVFJSVVNTVVRUVVZWVldXV1hYWFlZWVpaWltbXFxcXV1dX15eYF9fYGBgYWFhYWJiYmNjY2RkZGVlZWZmZmdnZ2hoaGlpaWpqamxsbG1tbm5vcHBwcnFxdHJydXJzdnN0d3R0eHV1eXV2enZ1fHd0fndzf3hygHhygXlygnpzg3pzg3t1g3x2g314g357g4B+g4KCg4SEhIWFhYaGhoeHh4iIiImJiYqKiouLi4yMjI2NjY6Ojo+Pj5CQkJGRkZKSkpOTk5SUlJeXl5qampycnKCgoaOjpKWlpqioqaqqq62tra6urrCwsLGxsbGxsbKysrKysrKysrKysrKysrKysrKysrKysrKysrOzs7Ozs7Ozs7OztLOztbOztrW1uLe2uri4vLq6vry8v72+wb+/wsDBxMLCxsTEyMXGycfIy8nLzs/Q09TV2Nna3N7f4OLi4+Tk5OXl5ebm5ubm5ubm5ufn5+fn5+jo6Ojo6Onp6enq6urq6uvr6+zs7Ozs7Ozs7O3t7e3t7e7u7u/v7/Hx8fPz8/T09PX19fb29vb29vb29vf39/f39/f39/j4+Pj4+Pn5+fn5+fn5+fn5+fn5+fn5+vr6+vv7+/v7+/v7+/z8/P39/f39/f39/f39/f39/f7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/jLNMgj+AP8JHEiwoMGDCBH685ewocOHEAnim0ixosWLGDNq3Mixo8eMEuHBa0eypMmTKFOqXMmypcuXJkVOFNgunTlxOL/p3Mmzp8+fQIMKHUp0KE5x5tK1m2kuotOI1aJKfUqVqrml/7BV3WpQqleuYBFiW4fvH7WwXDUxsfLJazW0cM2mg/cvWlyqTHLJsuL27V2u0czBw/fsr9MN7dB5WNbXcNVnggk7hliBYQWvkqZOjgh5cOHNDSv/uyw1s2bQDTtLRo1QdAUwZfS04hOszYwZrFNH/py7oGtOmoQMAVJIli5gvRGq5p1coOuFFb4NcwEEiIjmBpdjH/jc33V/FbL+GTOxnaD28pXBLxTBkD348gPPb0/vYWGO9tDhC5Tfe5nzhcYsdM1Ct+SnH3+obeKEB4Esk95CEEZYgX7/IAiaE7dcEwgHD0YoIYWq2dUbE7oslAsOHqY4oX6BDSZibpm4wMxCM6b4IYtz4eNXb4MwgY6NHipGYTXr0IVNMLe44korTDbp5JNQRhllFnc8NAwJUmap5ZZMKnlLMNhgJU41zCyzTDJopqnmmmy26aYZmTjEiRdu1mnnnWiayUw14gz2DzzrrJPOoIQWauihiCY6aC8fIJcQErooKumklAbq5z8fZeqRJUBcgxAmd2gqqkcUCjSIDb4U1A4iHPxS6qsdAmXyQSC8/JILJUPYwRysFHJTCRM9QBFIqrwOFBAAIfkEAQcA/wAseACtABMAHQCnBgYNBwgPCgsUDA0YDQ4bDhAdDxEfEBEhEBIiERIjERMjERMkERMkERMkERMlERMlERMlERMlEhMlEhMlEhQlEhQlEhQlEhQlEhQlEhQlExUlFBUlFRYmFhgnGBooGhspGx0qHR8rICEsIiMsJCUsJyguKCkvKiowKywxLC0yLS0zLS4zLS40Li80Li80Li80Ly80Ly80LzAzNjAzPDEzPzEzQTIzQTM0PzQ1OzU2NjY4Nzc5ODg7OTk9Ozo/PDpBPTtDPzxFQD1HQT9JQ0BLRUNNR0ZQSUpUS0xXS0xXS0xXS0xYTExYTE1YTE1YTE1YTE1YTE1YTU1YTU5YTU5YTU5ZTk9ZTk9ZT1BZUFBZUFFaUVJaUlNaU1RbU1VcVVZcV1ddWFleWltfXFxgXl5hYGFjY2NkZWVmaGhoaWlpampqa2trbGxsbW1tbm5ub29vcHBwcXFxcnJyc3NzdHR0dXV1dnZ2d3d3eHh4eXl5e3t7fH1+fn6Af3+CgIGDgYKFgoOGg4SHhISIhIWJhYaKhYaLhoeLhoeMh4iMh4iNiImNiYmNiYqOiouOi4yPjI2PjY6Qj42TkIuWkYuXk46XlZOWlpaWl5eXmJiYmZmZmpqam5ubnJycnZ2dnp6en5+foKCgoaGhoqKio6OjpKSkpaWlpqamp6enqKioqampqqqqq6urrKysra2trq6ur6+vsLCwsbGxsrKytLS1uLe1vLm1vru1wby0w720xL6yxr+xyL+vycCty8CrzcGozsGnz8Kn0MKn0MOn0cOn0cSo0sSp0sir08uu1M2x1NCz1dK21dS41dW61te81ti/1tnB2NzE29/I3eHL3+TP4ebQ4+fS5ejU5unW6OrY6erb6uvf6+vi6+vl7Ozo7Ozq7e3t7e3t7e3t7e3t7e3t7e3t7u7u7u7u7u7u7u7u7+/v7+/v8PDw8fHx8fHy8vLz8/Pz9PT19vb29/f4+Pj5+vr6+/v7/Pz8/Pz9/f39/v7+/v7+/v7+/v7+/v7+/v7+Ms0yCP4A/wkUeK7guYEIEw40eFChw38MGz5EyHCiwooWEdoocUQILGyTok2yeA7HLVpeQIrM9k0ixQ326HmwFnLSuWAyZFy88M/fhWZvRBZjda7Yzp4X2gQNaUMGpKM+y5yxdSuXwYUEefpcZepMESKHcuWCGJHnP7MX5HFTQYSIoIjn0AoUIfACvG4n4Mr9R5cvUr0CPQjkMRcp2W4FzXYT2E6gLX8+//kZ4oHMK7MOIfOEYqudng6YFWr+BwUX5Fs6Jo5upcIbZG8PIUf+x2gJPdkJZfuTOVAPnZ66g//j9gLhm1HAhQtcdQbhMxDQLB7RlXATkcYOPf1W+EfGs4T2Eht1+O5wFAg9up7dslTkzjeL8TAtEYJlD3mBAQEAIfkEAT0A/wAseQCyABMAGACnEhQmEhQmEhQmEhQmEhQmEhQmEhQmEhQmEhQmEhUmExUnFBYoFRgpFxkrGRwtGx0uHB8wHiAxICIzISM0IiQ1JCU3Jig5LC0+LzBBMTNENDZGNThINzpKOTxMOj1NOz5OOz5POz9QOj9QOj9QOT9ROT9ROD5SNz5TNT5UNT1VND1WMz1XMzxYMzxZMzxaMzxbMzxdMjteMjthMjpjMjpmMjppMTlsMTluMThvMThwMjdyMzhxNDlxNjtwNzxwOT5vO0BuPUNtPkVqQEdoQUlmQktlQ0xjRE5iRU9hRlBgR1FfSFJfSFNfSFRfSFRgSFVgSVVgSlVfS1ReS1NdTFNdTFRdTVVdTlZcTlZcT1ZbT1ZbUFZbUFZaUVZaUVZZUlZZUlZZU1ZZU1ZZU1ZZVFdZVFdZVVdaVlhbV1lcV1ldWFpeWlthW11iXF1kXV9mX2BnYGFpYWJqYmNrYmNsY2RsY2RtZGVtZWVuZWZvaWlybW13cXF8dXV/eHeCe3mEfXuHf3yJgX2Lg32Nhn+Rh4CTiH+UiH6WiX6XiX2Zin2bi3ydjHugjXuhjXuijXyijX2ijX6ijX+ijYGjjYKjjISjjIWijIeijIqii4yii4+ii5GijJWhj5igkpual56TnKGLoaOCqKN7r6J1tKJwuaJsvaJowqNmx6NlyqRkzqVk0aZl06dl1ahm1qhn16lo2Klo2alp2app2apq2qpr2qtr2qts2qts2qtt2qtu2qtu2axv2axw2axx2Kxy2Kxz1Kx4zqyByKyIxKyOwKyUvKyZuayetqyjtKynsKyqsK2ur62wrq6yrq60r6+1sLC2sbK3s7O4tba6uLm9u7zAvr/DwMDFwMHFwcHFwcLGwsLGwsPHw8PHxcbKycnNzs/S1NTX2dnc3t7g4uLj5OTl5ubn6Ojp6enq6urr7Ozs7e3t7u7u7+/v7+/w8PDx8fHx8vLz9PT19/f3+Pj5+vr6+/v7/Pz8/f39/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+Ms0yCOUA/wkUqIMThifEBipcKNAUimvRwjCc+O+WgnrzGjSiuPAWgX/+PnJU6BGkyJEC1X0M+QZPNWzbOKo0uSwZnhAhBv2LuXBmSJPxxl34F0JQz5UrJZiER87CUZMglfqTejLlygYgN0SF+k9dua4ryYF0B5KaSWiAPjRwo6wqw5DkqFBz54eB24Uh503hBvJahpEh9S27YA5kYY4//RFSMg+lv4wC/fnh41joQH96kAFehueyNwfgECfhe7lTCLJvPVHGGyiDN4X+6g1i8G2iP2QO/HT7do1TiD7oEMfjpMQDlT+vBwYEACH5BAEJAP8ALHQApgAYABgApwAAAAEBAQICAgMDAwQEBAUFBQYGBgcHBwgICAkJCQoKCgsLCwwMDA0NDQ4ODg8PDxAQEBERERISEhMTExQUFBUVFRYWFhcXFxgYGBkZGRoaGhsbGxwcHB0dHR4eHh8fHyAgICEhISIiIiMjIyQkJCUlJSYmJicnJygoKCkpKSoqKisrKywsLC0tLS4uLi8vLzAwMDExMTIyMjMzMzQ0NDU1NTY2Njc3Nzg4ODk5OTo6Ojs7Ozw8PD09PT4+Pj8/P0BAQEFBQUJCQkNDQ0REREVFRUZGRkdHR0hISElJSUpKSktLS0xMTE1NTU5OTk9PT1BQUFFRUVJSUlNTU1RUVFVVVVZWVldXV1hYWFlZWVpaWltbW1xcXF1dXV5eXl9fX2BgYGFhYWJiYmNjY2RkZGVlZWhoYWpqXG1tWG9vVHFxUHNzTHZ2RHh4Pnp6OHt8M3x9L31+K35/J3+AJH+AIoCBIICBHoGBHIGCG4GCGoGCGYGCGIGCGIOEGYWFGoeHHImIHoyKII+OJJGRJ5STK5aWL56dNaWiPKyoQrOtSLmyTby1UL64VMG7V8K7WMK9WMK/WMLBWMLCWMLDWMHEWMLHWcXKV8fMV8jNWMbOWcPMXL3KYbfHZbTHabHGa6/Gbq7Gb67GcK3GcqzFdKvFdqrEeanDfKnBf6nAg6m+iKq7jqu4lqy2nK60o6+zp6+xq7CwsLGxsbKysrOzs7S0tLW1tba2tre3t7i4uLm5ubq6uru7u7y8vL29vb6+vr+/v8DAwMHBwcLCwsPDw8TExMXFxcbGxsfHx8jIyMzMy8/PzdTU0NjY09vb1d7e1+Hh2OPj2uXl2+bm3Ojo3enp3erq3uvr3+zs4Ozs3e7u1/Dw0vLyzfPzyfT0xfb2vff3tvj4sPj4qvf3o/f3nPn5k/39jP7+if7+iP7+h/7+h/39hv39hv39hfz8hfv7hPr6gvn5gfj4gPf3f/b2fvb2fvX1fvX1fvT1ffP0ffLze/HzefDydPDxcPDvau/xbzLNMgj+AP8JHPjvmjZw4sqVEwdu2zWCEAde82YOncWLFs19exhR4LVy6UKKHBmyXLaO2syxW8myZUt13SBec0ezps2bNbVJtEevp8+fQH9y/Ba0aNFwBY0qBYqN29Kn9L6Jg7p0HJt8/RxBzQrUXj9PVOlx/dmPZ9Z+ihQNyjRorSBDmBxl3ad2kCdFV88ewqqInqVC/TIdkutoXz6xnvrhU3RWaz9R9DDxYdfOD+HIbRN/Y3z5cWQ+Fvlw9vyV3w1NjcVClhx6dFtFjsb9A6cUNDo+iBD1291TnMfaoTNlQlSoEKR+yAZqM2q7uTt9gsRA9Fa0ucU/FqN03BbUOro/5rYZdfQY7qdtPxbfcBwvENu3cfZAlyPnbT3BgAAh+QQBBwD/ACx0AKYAGAAYAKcICREJChMKCxUMDRgNDhoODxwPEB4PESAQEiEQEiIREiIREyMREyQREyQREyQREyQREyUREyUSEyUSEyUSFCUSFCUSFCUSFCUSFCUSFCUSFCUSFCUSFCUTFCUTFSUUFSQUFiQVFiQWFyQXGCUYGiUZGyUbHCYcHSYeHicfICghIikjJColJiooKCsqKi0tLS4wMDAxMTEyMjIzMzM0NDQ1NTU2NjY3Nzc4ODg5OTk6Ojo7Ozs8PDw9PT0+Pj4/P0BAQEJBQUNBQkRCQ0VDREZEREdFRUdGR0dISEhJSUlKSkpLS0tMTExNTU1OTk5PT09QUFBRUVFSUlJTU1NUVFRVVVVWVlZXV1dYWFhZWVlaWlpbW1tcXFxdXV1eXl5fX19gYGBhYWFiYmJjY2NkZGRlZWVmZmZnZ2doaGhpaWlqampra2tsbGxtbW1ubm5vb29wcHBxcXFycnJzc3N0dHR1dXV2dnZ3d3d4eHh5eXl6enp2fH9yfoVvgYprgo5ohJNlhpdih5pfiJ5ciaFZiqRXi6ZUjKlUjaxUjq9WkLVYkrlalL1blsBdmMJfmcRimcZkmcdmmshomshpmslrmslsmcltmclumMhvmMhwl8dxlcZylMR2kMF5jL58iLqAhbeDgbSGfrGKfK6NeqyQeKqSeaiVeaeWeqiXfKqYfaqZgambhameiqiekKefl6agnKWgn6ShoqShpKSmpqGqqKCsrKCtr6GusqSutqmxt6q1uKy2uK25ubG6urS8vLe9vbq/v7zAwL/JxbzGyMTKzcbP0cbV1sbY2sfa3svc4tTd5trh6t/i6+Hj7OPj7eXj7ejk7erk7e3k7e3k7e3j7e3j7e3k7e3n7e3q7e3s7e3t7e3t7e3t7ezt7ert7ejt7ePt7eDt7d3t7eHt7uTu7uju7unu7uvu7u7u7u7v7+/w8PDx8fHy8vLz8/P19fX19fX29vb39/f4+Pj5+fn6+vr7+/v8/Pz9/f39/f3+/v7+/v7+/v7+/v7+/v7+/v4yzTII8wD/CRz4z5/BgwgJKhyIsGHDhQP3SZxIseI+iPYyatzIUaPCeCBDihw5cuC5kyhTqlx5TiDLlyz/wZxJs6bNmyhhUAtHqhpNnj5THtt0E2hKYSd5Iiv1BgYuGDBm5bBiixQyUsqawrDUdKfVNtSEGarWKkiwXlasYqV2bqiwcKWGqa0mzNK5Wh7szSMxtxZURW9Nyb1K126tDAYzjLpa95wwwDCCKe3Z+HDixVahGiJ1TCZMxP4ygDETLNgwlC4/J641y8wQIH6GDTP5ErTteM5eAFFYO7FBFYkhsrT92yDE1ClBkzCIw99xgueenQT9zPjCgAAh+QQBLwD/ACwGAAYA7wIbAqcAAAABAQECAgIDAwMEBAQFBQUGBgYHBwcICAgJCQkKCgoLCwsMDAwNDQ0ODg4PDw8QEBAREREVGx8ZJC0cLToiPFApTmwvXYMyaZU2cqM4ea46f7c8hsE+jMtAktRBlttCmeBCnORDneZDnuhDnuhDn+lDn+lDn+pDoOtDoOtDoe1Cou9Co/JCpPRCpPRCpPRCpPRCpPRCpPRCpPRCpPRCpPRCpPRCpPRCpPRCpPRCpPRBpPRBpPRBpPRBpPRBpPRBpPRBpPRCpPRCpPRCpPRCpPRCpPRCpPRCpPRCpPRCpPRCpPRCpPRCpPRCpPRCpPRCpPRCpPRCpPRCpPRCpPRCpPRCpPRCpPRCpPRCpPRCpPRCpPRCpPRCpPRCpPRCpPRCpPRCpPRCpPRCpPRCpPRCpPRCpPRCpPRCpPRCpPRCpPRCpPRCpPRCpPRCpPRCpPRCpPRCpPRCpPRCpPRCpPRCpPRCpPRCpPRCpPRCpPRCpPRCpPRCpPRCpPRCpPRCpPRCpPRCpPRCpPRCpPRCpPRCpPRCpPRCpPRCpPRCpPRCpPRCpPRCpPRCpPRCpPRCpPREpfVLqfVRrPVWrvVbsfVgs/VitPVjtPVjtPVjtPVjtPVjtPVjtPVjtPVjtPVjtPVjtPVjtPVjtPVjtPVjtPVjtPVjtPVjtPVjtPVjtPVjtPVktPVktPVktPVktPVktPVktPVts+x5st+FsNKSrsSdrbmkq7Goq62qq6uqq6uqqquqqqqqqqqqqqqpqqqpqampqamoqKioqKioqKipqampqamqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqrq6urq6urq6urq6urq6urq6urq6urq6urq6urq6urq6urq6usrKytra2wsLCzs7O3t7e9vb3ExMTNzc3V1dXg4ODo6Ojt7e3u7u7v7+/w8PDx8fHy8vLz8/P09PT19fX29vb39/f4+Pj5+fn6+vr7+/v8/Pz9/f3+/v4yzTII/gD/CRxIsKDBgwgTKlzIsKHDhxAjSpxIsaLFixgzatzIsaPHjyBDihxJsqTJgxZSnlzJsqXLlzBjypxJs6bNmzhzDkypUqfPn0CDCh1KtKjRo0gp8rSQtKnTp1CjSp1KtSrIpVazat3KtavXr2AlYg1LtqzZs2jTqv3Ic63bt3Djyp1Lt67du3jz6t3Lt6/fv4ADCx5MuLDhw4gTK17MuLHjx5AjS55MubLly5gza97MubPnz6BDix5NurTp06hTq17NurXr17Bjy55Nu7bt27hz697Nu7fv38CDCx9OvLjx48iTK1/OvLnz59CjS59Ovbr169iza9/Ovbv37+DD/osfT768+fPo06tfz769+/fw48ufT7++/fv48+vfz/+6iP/9BSjgRMEsRMKBAyaooEIFKpTCgwtGKOE/DSakwoUTZjhghQit4KGGIPInzEIslBjiifgBs5AXLKLoIn3LrNjiizS+F6NCj+RY447sabMQJEDyKCR6PioEJCRDJklekQkdqeST4DGJkJNQVrmdlAdRaeWW1mFpkJZchhmdlwWBKeaZzJFJkJlotnmcmgOx6eacwsEpkJx05tmbnf/gqeefuPHpJ6CEziZokIUmetuhSCrqqKE/IvropK4xSumlrFmK6aanacrpp6J5CuqonYlK6qmYmYrqqpOpyuqr/o65CuusiclK662E2Yrrrn/pyuuvevkK7LB1CUvssXAZi+yyaSnL7LNkOQvttF1JS+21VlmL7bZRacvtt0l5C+64RIlL7rk/mYvuujepy+67MrkL77wtyUvvvSXZi+++IOnL778b+QvwwBYJTPDBERmM8MIMKczwwwc5DPHEAklMMcQWX8xwxhojzHHHBH8MMsAij8xvySbji3LK9K7MMrwuv8xuzDKjS3PN5N6MM7g678xtzz5jC3TQ1A5NNLRGH81s0kojy3TTxD4NNbBST81r1VbjinXWtG7NNaxef81q2GKjSnbZpJ6NNqhqr81p225jCnfclM5N96N2361o/t56F8p334D+Dbiegg9OZ+GGu4l44mguzriYjj/OZeSSW0l55VBejrmSmm8+ZOee8wh66DWOTvqLpp+OYuqqh8h66xq+DvuEss8eYe22K4h77gPuznuAvv/OX/DC60d88fgdj7x9yi9PX/POywd99PBNT7171l/fY6SNau80994vm334RIJPftTmQwXL+uy37/778Mcv//z012///Odr5jgscvGff6rpe4r/4DLA/1Vmf/0z4GUQGJcCKlAyDCTgAw8YQKc4cC0XnGCsKtiUDKbFgxpcTATfAsIQ1oqDSSmhWVRoQsOM0C0sbGGuUIiUGIbFhjIMzAsxmMMNGklS/gJMYA8Zs0O14HCIfSniB5EoQhoe5YhegSIT86JEtEhxinep4lmuiMViOdEoXNRKGLsol/3d74zz20AF/nEBSzQEjXDEHxkLM745QqeOdnQOHvOYpi/ykXB+/OPhAilIxRGykI07JCIhp8hFTq6RjrQcJCOZuUlSknOWvOTnMqlJ0XGyk6X7JChRJ8pRrq6UpnQdKlMZu1WyknaufOXtYilL3dGylr27JS6Bp8tdDq+XvjQeMIOZvGESk3nGPObzkqlM6TGzmdV7JjSxJ81pbu+H3bMmjfaozdVws5up+SY4O1XNcZpHnOYkDTrTGapyslM863znZ+Ipz1K5s57e/qEnPvV3z31eqZ/+zI4+A2qZgRKUMgY9KAQBqlDqJLShj3koRBsj0Yk2EZsW7U9FM4qYjXLUhQz9aB8xKtJikrSkyDwpSpep0pU6s6UujSZMY0rNmdL0mk0C4k1rmtNs7rQ9Hv1psEIqVOAEtahZJCpS96TUpe7mqE6dC1SjGpepUvUtVr3qWrKq1WY1tau04SpYzSLWsUbrq2aFTVnT+pW1srVaaH1rpuIqV9W4ta5ZuSteq6LXvU6lr37tFl0Dq87BEradNj3sHQ2r2HkytrH2TCxkR9rTyTr0sZbNDGAzWy7Mcragnv0sQkMr2oVKtrTE2SxqfaLa1eakta5t/hdpY0vE2dJWMbC97Uxyq9uY8La3L/ktcOtl2+HO8LTGDVRxk6vD5TK3V859bhKjK929CLe6IrkudvtF3e0mFbnefY12w8uR8ZJXI+Y9L0bSq96Cdbe9yXovfN3C3vlKpL72hQh+8+uQ/fK3YfL9L1kDLOCzgrfAofEvgiNG4AV7RcEOJgiEI1yxBlNYKxOmcIYjvGEHd3jBH0ZwiAs8YgGX+L8n5m+K87ti+7Z4vi+Gb4zbO2P11vi8NyZvjsO7Y+/2eLs/xm6Qqztk6Rb5uUdmbpKTu2TjNnm4TwZulHs7Zd1W+bZXpm2WY7tl13Z5tV9GbZhLO2bRlvmzZ+Zs/pozu2bLtnmyb4ZsnBs7Z8XW+bB3JmyeA7tnv/Z5r3/Ga6DrOmi5Fvqth2ZrotO6aLM2eqyPBmukuzpprVb6qpemaqajummndnqpn0ZqqIs6aqGW+qen3mmqb7pqmrY6pq92aaxXOmuU1rqktxZprj+6a472OqO/tmiwJzpsiBa7ocdWaLIPumyCNjugz/ZntPc5bXxWu57Xlme237ltdnY7nd82Z7jHOW5wlrub59Zmuq257mm2G5rvbma8lTnvY9abmPcOZr59ue9d9huX/65lwGU58FcWnJUHT2XCTbnwUTYclA/vZMQ1OfFLVpySF49kxh258UV2HJEfL2TI4wU58j+WnI8nz2PK7bjyObacjC/vYsyxOPMp1pyJN0dizoe48x72PIc/l2HQWzh0ExY9hEfXYNInuPQHNl2BTzdg1P839fxV/XxXJ1/Ww7d173Vde1+/XtipN/bold15Z19e2pG39uK1XXhv/13ceTf33NXddnefXd5ht/fW9V11fz9d4Ek3+NAV3nOH31ziMbf4yjVeco9/XOQZN/nEVd5wlx9c5gG3+b51Xm+fv1vo6Tb6uJXebadfW+rRtvqytV5sr/9a7Lk2+6zV3mq3n1ruobb7pvVeab8/WvCJNvyg8SkgACH5BAFfAP8ALCoBBgDLAdIBp5ubm5ycnJqampiYmJaWlpWVlZSUlJORkZKPj5GMjI+KiouJiYiHh4SEhIF/gX5+fnx8fHp7end8d3WIdXOac3J/cnFzcW9wb2psamN3Y12RXVqdWlqOWlxzXF1fXVpbWllZWVhYWFZWVlRTVFNRU1FOUU5LTktIS0hISERERUJCQkFBQUBAQEBAQD8/Pzo7Ozc5OTU3NzQzNDExMS4uLisrKycoKCMjJB8gIRgZGhISEg4ODgoKCwoLCgkTDQUsEQNOEQFtCwF9AwKBAgmDCBKHEhSGEhyBEjptFnBMH6UtIs0YIN8PHPEHD/sFBv0HB/0PD/0ZGf4qKv04OP1CQv1LS/5UVP5gYP1vcPt3eu9tfttLkMglrcIVvsAKv74Cv7kCv4UCxTsDzxQE1woG7RQS8yEf+Swq+jk3+0JA+0pJ+1NS+15f+2ls+V515k6DzkOJwj6KvjqKvTKTvi2gwEKaw1CZxVidyF+fyGWiyXGoynuryYepv5qlrKKjpKakpKilpamnp6mpqaqrqq6srLOxsLW2tLTCtbXMtrbSt7jNuLvDury8vL29vb6+vsDAv8HBwcLCwsPDw8PDw8TExMTExMTExMXFxcrKysvLzMzMzMzMzMvMzsbN2b7O6LfE8rHG66nF5aHD4Zq84Jav55ij7aSh67Wg4cWe2cqe1suZ1NGL1Np90eWLwvCYsfidqvykq/2rrf6wsf61tv7AwP7Kyv7MzP7Ozv7Q0PzR0PTV0ODdz9Hjzc3lzc3lzc3mzc7mztDn0NHk0dPe09TW1NTU1NTU1NXV1dfX19ra2tzc3N/g4N/i5ODl5N/j5OHl5OLm4+Xm5ebn5ubm5ufn5+fo5+nr6eru6uvt6+zs7Ozt7Ovt6+zs7Ozt7O3t7e3t7e/u7/Dv7/Dw8PDw8PLv8Pbs8Pnn8fzl6vrc6PTS7/LN8fHM8fDH8OvB8OPL9d7X+d/g+uLo+eTt+Onw+O/z+fT19/b29vj39/n5+Pr6+vz7/P39/f38/f38/Pz7+zLNMgj+AP8JHEiwoMGDCBMqXMiwocOHECNKnEixosWLGDNq3MixY0U98ux5HEmypMmTKFOqXMmyZcc38/Dhc0mzps2bOHPq3Nlyj8yZPIMKHUq0qNGjEvX8RMq0qdOnUKNWxBBPptSrWLNq3WrTA59CXMOKHUu2rNmzaNOqXcu2rdu3cOPKnUu3rt27ePPq3cu3r9+/gAMLHky4sOHDiBMrXsy4sePHkCNLnky5suXLmDNr3sy5s+fPoEOLHk26tOnTqFOrXs26tevXsGPLnk27tu3buHPr3s27t+/fwIMLH068uPHjyJMrX868ufPn0KNLn069uvXr2LNr3869u/fv4MP+ix9Pvrz58+jTq1/Pvr379/Djy59Pv779+/jz69/Pv7///wAGKOCABBZo4IEIJqjgggw26OCDEEYo4YQUVmjhhRhmqOGGHHbo4YcghijiiCSWaOKJKKao4oostujiizDGKOOMNNZo44045qjjjjz26OOPQAYp5JBEFmnkkUgmqeSSTDbp5JNQRinllFRWaeWVWGap5ZZcduklhMoQIs5bkkhSz5cbwZCDMvv8w0gOGHgjEDIYINPPP5gwcmY0MBjzECcjcPKQBAdY8xAjI9CQQw420JCAoRDtQwgCybQkQA4R3LkMBjEYclA0jRzzTz0HYPCQNQdI8BAmHmACUTX+BQRCIAwzBHAmBjBYIKdBBlhAzT98+ukQoII6RCikEA3gQKUD7dPmUQLYgEEx/xSSwgieGqRJBIOMWuqpqa7a6oUwMBBCNd6sgMEDcgagwgwpYFJMDDrUYAEnMGDQgg0BjHmJCTS8YIhIA8SQrwqCYvKBDDEEEA5By3gwQwkqIGCNPQioQIMImuwzSAo00ADImQQpmwwkGIhQsR8izCCDxf9IIIIINHggqDUMuDDDtMdgEHIOHxiDjAUxyOAAM9gwIMPGj1QkwAgWAGBPAShI4CknGMjwAgPJMJADDiUAcsALHtDwAbXRMOCyBc/8U4wHNZTggarVIACDDB4IK1D+PYHE4AIJIGDijyYhaJ2APwPZY0gMNLggADMQFJoACibU4AEjGkuwDzMeeKBzBPiEs0ANNCCMz+I0oKCJP5fgYIHLTXsHAyMucCJAAxawW8gF0VT7ATO9/hqNDQiIc4kKx3jjwiCKp1CMJCdcko8FMHASjQeW+POMCY88+w8GDjyDzAsOoIoANPsY4AAnIhDSDz723FnyspC0UPw/5NzzjzIYEBIzCo+ohwUcQA0GGAAc+HAAAyClCQ8AYBoNCAA+uGGBAxQiApf4hz1EQhEBXIABEHgECK2WjAX8YR/JcEABttWteiwAYc9wgATuAYAQMGMZEWBbAy5gj0ikQAL+fLNAPeoRAA/I7x+SIAEjwoEAGWDiGBZgxD+QcYFuCUQZFvDDP/whDsgVygEvsEYyrkUOY6DgEswQQQnqsYwQBAAZM7DGPvBRj2TIIBL3IIQMxGEJHTDiHoFwwXdg0IgELOAFmHAAuy7QKBqQThnBA9YMqFWPGXACEh9AhkBUYIgFOAAa/4BECTihx0bigHl7S4Eh2oSBR32gkTYIlAVQ4IBMcHB+J8OAFN2GgRnQQAcC2IcECPgPQUDAEB7AQcikpclkYAAB9bhECW4Qshs4QBIeKAEA2OS0CxSCAR54QCGsZggXNJIGDWDhqBBgKnwMwAPQWAADBDKIDzRCAv7+ewYDJMA/ZdLABiL41RYJYYI2WWIEmHhEDkJGgxggYCDYWEAMFoCJzUXOGgm4wD+eEYF5bmoQzMCAAPBXRGiYQJvLwAfmBPIMFWDiEjb4xz6QgYNBNmIZM3DBNBjALgwcYEwDiWSwRkUDTUACBJr8Byc9CUpRkrJOB6kHChjBykeBwA8kE8g+jkGAFywAGwUxGSQuAIkteqAB3LCHBwqQj2H+ShAPMAQGtEiQaVwArf+whNUKQo5IWOAEgOhmCWtAAEmQ0wIZHIg6SWWqfAjAA8yQJz0/4Ah8bnSfynDAAQ7iD4IaFKGPOME0EIIPZCDABBbwojUQoKpoPOChmwr+REhHSo4iahASEYgBIVa6UZdeggYyRUYObIqPQVgCHzz1BiFUUIx+5OMY9/ADBto21HoUFRwuIIQ9GOE8S5hAehJ4ASegkYI/nAkZQBUIBhoQjfGVDwE22wcbrWEN/SXgAcwaiFjJqkEPGOAehZABWyWAAkgIsAHTeMAFNGmNaFRDAhFghkCwcQEIgJUZ08AGN/ZhDQssoJvTMEYhlmFYQwzNAfXYRzWYUYwHaJGx/3CsB+4RgBBAA4cWiAbu7iGJH9YDACRYxj/AkV8kjqAR4jiAE4/hgQQ4txqgFIg9mLEPewgCBaplLbBe+4/YppEEbHSjPYRsDQk0wI6SyOP+Hn8b3OHKrhFA+Udy/+GHFzjyAdzYHg3u1SeiauIf/wrYwP5RMBhcIAUJC8EMamACvXXZAzIIQQosZo8DuIB0CKCTL1PAiHyElX78/YchULCzGAz4AyGo2c0Y8IIaNGwQLfAnP5PxuhqooBCPoBkNLiCqDl5gtAIp8T+w5kglkkMAExNbYx8LLLXJgG1ug9sIMKCq1crA1QkgCN9i0AIQtGpwICAdxwayjAvUYAYnYESWW8tlL3sAA5+7RzJgcG4PUON0jENBJlgH3Jm6OUcSWMCuQhPSwEYp4AMHTcHRxPCGO/zhEDfLC1ywgor7reIYz7jGN87xjnuc4zCg+Mf+R07ykmv8BS/AOA0MYBEB0ADjKDe5zGe+cRfAgOY4p3kLYoBxF8TgOyAQ6D80ccucICPhOVlG2wQSgD9YZBAEGEg0hLyTcDg6J/jIxEC4MQKgC53oPDl6UJQ+kKY/PeoCmTpPrB6UrG+968pBQQ6ASJB9PGAFzD3iQIKu2KLjROw8ITvTnQ4AG5wgdgNhRAhccD+DQF3qVNcJ23nidoFwfTnP+AOKCfIID4QjEh4Ah0H4LhCw7wTwOxH8P8wujkcgAPH7W8AglpEAWTke7cCKfE4mv5PK/+PyywHE5gfSAEDcYx8vqMbov+53muxDHp4YRSeqkvqlr97pw349QRr+gQBqDSDbt4d8TvZRjl2wwg+pOIf3buJ74CtH+Fn9hwUKMRMYKJ+eJljBDQhhif4bIhL9F4ACOIAEWIAGeICWIAl8kAdy0IAOKAd2wAeOgIAUWIEWaAmM0AgB+ADYxwnaNxCGgADK8A8F8GEDUQwWsAI7E4CNwAgX+IIwKAmEoAVKIAZkcINkIAZcoAX8B4M+aIGRYAgBaAhw937DJxDFd3zJt3x953yegAdyEAd74Anx0AnMEH12IAdwEAr0YBOqZ3bZB3vc533gVxCPl3a6txL7cA5ZwARhQAZocAqdcAqngAY5yARYcA420X5FmBzwRxCOgAHhgE1I9w+kN3T+zYcS9LAHEAgKXTgnu7I5DIgHVEYTX9iBH3hFCTB7tXcQZ5h7LmEPsiAFSyAGZlAKnsZ29WAKZiAGSyAFsLB+K8GHy+EzN9AC4mANEUAO+xABFccJeicQh2h6K8EMWTgKjzgQqCdTnpCFoRB/KnGJ/7BcNzADWDUInmIIIuACCfAw4YeGLcGGULAEaHAGnzAQk8cPn4AGYrAFUIAFiXgStOgdwxiPI7EPnhAHduAJ/GAQyygQ86AHcjAK89AS0lgRn6h2K3EOWBAFW8AG5kgQvKeOaJAGWhAFVqCHLDGP3VGPKrEPoiAHehAPCPGPApEPoyAHe1CQK3GQFJGQaWj+EujQkFpQCmZgCgXBe/+AD59gBmwAC1FQBRqpEhzJHR6JEvuQkiuZECapVSG5B/LQktYHhi+JewqJEgwZBa/wCWfQBvqQk1dHDzZpCqNoBeUwi1pneX24HUdpEiCpkixZkoXYLKIghVGZEi45ETCZEmwoBa/wDmugBiQJlgYBD2yABu8QC1FwBfqTEkXJlsyHEqEghXEplwoBknFAkHg5ldhXleJ3EvbwClGQBWIZkQahk1rFlW1gD0CZBbJIEo+pHW1JEp4AB1DJEE1JEPyQksiIEnkpEXtpEv4wC1JwBfawjm3Qj6d5dQJRmp/AhlEQC46Zlr+3lrIZmSURD3b+gAeDuRC5SRD6sAdxEApfaRK/GRHBWRK3UAVCCQ9tgJgIgZoD8Q5qsAb2gA5XIAW4gBKxmR2z2RHzgAd2UIm4OZcGQQ96AAee8JoccZ4QkZ4jwZBTQAv7oJoJIZ8CcQ+saAr7cAtTYAX2qBH9iR3/uRH8IJ786BDfWRDxgAd3IGEl4aAPAaEdcQ+wIAWu6Z5pAA8XypzzGZj1YA+KmQXySJ3uZ5TY6REh+YwPsaIF0Yy3SRIy6hA0yhG1QAXGqY5nUAoKgaECgQ8b+g8MKQW2YBIjeh0lmhG1uZRNaqAHAZJwIArQuBFT2hBVqhFsOKH/oKPdeRBeKhDwsAZp0IX+uPChngabRmqd/pmkGzEPd3AHfdoQTloQ+bAHCsqgGFGnDHGnGOEPsYCjzrKOXNqlPjoQPHmTGgSUsFASZ2odaWoR+2CpCxoRk1oQ8pAHlDgSmroQnHoRuGAFQrmnbbCjC/GnAgGYa+Bp+DkFQ9kRrVodr1oR+SinElGrT2oHbNqgnHl2n8kRoQmLAoGcDGGso2IKEdkPtICjiPp2XteEjWoHIDER1lp3o7CF5Umn24qQVhmTGHGlxvkP8/Ce7zCupUoQ75AGbNAmfbmfHvGs1BGtEhGrcECgtOqmCoGg+9gRu6oQvUoR5ZAFUzAL4aoGbYCpElmwA1GaA9uhxWn+shXhsNMBsRExrXOqoharEPCArXepERubEB07EbQwBVhwJ/ZQCqZZrCg7n2jQBgLxsVJACw2bqO1aeiEKEfNgB3mws9V6swkBp6JwqBnRswjxsxGRp7VwrGywBjW7nA0RD+/JkoV6BS47ETDrG4LQAjBQCIcaDtuYt3FGEDLrELEaB7NKEfNqEPWwBxnLs/mKNTAQASO4RYFwAirwU564rxxBC1SABW1SoWgwqgTbEPrQkzj5D+XwCk/rrFKbHOIQRt7wAtwgEAKAYsuQAsgCuIwqrXFArRVxuAbhDHcQpZm6rfeQAAYgDsbbJpjAAI6wDAggCJfbrRhhtoA6rDz+2hDk+qNr8CxxO7cRUbe8wQgXcCYhAIz/8AgSIA7sM5eByxBXm7UX4bsGIQpxCrYWIY3KgACe8gcHELshmAz+kADz9I2gqBGay7nhmgZM6xDZ25xGe46mi7pnuxHguxuD8AAigQGO4GnicAI1kAOGYL97l7sRi6Le651cuxCJu7gXIY3FgACOMI0IIGGa0ACFgAweAAHRC44Z8bFTMMH1UApoAMHYm7QGu7QDEbccUcG6Ib7ka74N0ABs5AK3Owj5t39DCIA/KIB8IAcSuMUDyAiPAMYCaAhxgAcuSMb9l4Eb6HT5u7/9K1OGEAIgMAKbdYIpuIL914JqLICu8KH+kNB/pqAGaaCBF/gIaWyBhQCRQoiBF/kHfSyAQTiEijocrWsN4AC7SCgA9iAOMXB/BdG+CfG+Wtu7KbwQcEqeLUy8CVAA5JC8BJEMA7BLZoi5GBGaITsQogoRDSwQo4uqAoEL6iqiq5scgZS30BAB9WANI+BzAZCIovymJpwR8nsQi3gHnrDKZdeBuBIBnICN3JAAKzACgyDC9GTLF3ELVsCYADmsA/sQvXysapCwAtGXzWoRTOwc0WwQ05qM8XvKDAGllSkRYrvDBWwR+QALU7CqI1uyvGzEBKGyWlULw4wR+dwc+0wQpLwR1fym9RoKyjkRBU3AV1kRuHAFZun+y6aABqULzxDdLFwJuudwBVNQtQ5x0cyR0Vo1zRrR0dasBy9aESNdy9JLEbIwBa8wEO6pBgMduhBhmGlwqPkwC1HA0BeB08uh0//Qzxzh0wch0BQx1ARBtgvBhlTAsP/wCQosEfG8N+ZKxOhQBVZwwguB1cqh0/SAtaWMEV5tEEm5hXRdEGI9EGStEJrrmhkqxETs0hLxDkgsZah7CxZdzEjqrg8xuIXL0QDtEAiKB9cbEYN9zkUdEbgssmi7Bv7MwC9NEG6LBlklzER61ZQNmZbtEJ4wkKlNzZtt23bQm6Cdr57JwxTxq/+awKD70BJxqkQsoWeJz7N9nbXNEHn+jQd7rdse8dehENgCEdr/UNhvGgtInbKKPRFtPZ9rLRD+QAtVLdvsSo8k3LU83RF9jRABmasQwd3ebRBsWAXoMJ9swAZ/y9gS0drJiA7Aqt0GYdfJEc237dseMd8I0YwO3hD4jc4SQQtVgNjh+rkUUd4nSbqJE9nO3d4d+d7WvJ3V3dO7fdn1CgqBXeGjfdOvkMsOnAbvzNarXRAHu8DBXNF0+9yLGt0IEatykNkPvuIPIQ96kAfO8BAwLtwRcdIpfaxrwAYhHREe3s5n0J0zPQUBDhEKjhzt2+C53dVI/hASXuYH8eQHHRGzQAWxveHHjeU5rpsg/qWyEAWm/eP+JF7ZVCvden0SEJ4Qu3mpFA7cemnhD/GxVDDBAOvOFZHl8swGBIEOQvuyQE6iJt4s4kmxJDHoCXGredAMh77N3ArlD6HOVwC2gJmckV7nGt0GWz4Q9kwRYX4cMnvbvGsSoJ4Qac4QbF7SDwHeSa3LHP7qFVGhwPwP6LrefK6WU4uICrHRKNHrCKEPLT63wc6vZZ0FVYDW9ADpyF4R9EnpAxHXVmDrmY6mmz64nl4S1o4QSm7fCbHtElELVYDAVG7lFiHpWt6dTnvPN73urrrpur62R64SYF3viA6cis4Q+6DQVp3Wxz7uFKGOy74PtaCVz16dy3G3eQu2hHACLcD+ADX7qvIAB3rQ1PB+5hH70Vcu2I3bzZFrDwCgAi/ATwYt7Ayx3/3dnOJu8RRR7gRxDlaQ7slN8MBxya8bu/+QDB5gsWnKD3kAB82A4BYR7wmBoNjM8KZevMcLy8vbCOFgvDvP7QmB7/r+D4DJBuZM5xcRsLPetKj782Cu9L/hxP9QvneSABiAAiggOAeRpinpCW/f8izhCcGb4virv//Av7GrDAVgCNOQAAFw9pEi8QSxyxfh7wKB8S3doRz/vXjvGxecwRssfyXADZyAAmBF2Ffcg5bwfwTYxXkwgZEMg2Kc+y+ogF4cyATIxv3HgW4DwzIsYfcwADKAAxgQZQL+gYIqiAEsmMiKbAVTIPuMIOumEMmIHMmCgAZqIICFQAVT8IOT7H+VLBx6z/f/0AAHcCafPPi5Ww92YAcpzusuTxErbOTbva1v/PgAcYDbv0YPIIFbgODfQob/BhFgGG1ZQ4oV/9GqgmUfw3dr2OSzGFJkOGMiTVKc1+bMPIblXklBd7IivkwMuY2QmVPnTp49ff4EGjSnuBfWwL0Y+A8SBnHLUlizCIIaQ032Gu7bI8cTP6FAkXnr+jNenjzOKi57xjDAn3/3EhQgl8DAxkYLNLldYPFhxIk698GaEqvhpzSlwv4jGVbfJzOmGO7DJeVVT5o2cR7GnFnzZs45A7n+gFEIWoR6+xyogMEIX9SpC6s2DCVHVL3OMpE9GIEpJDILNXhYgPYzGQQaPTAoW+jJzh6W/5RZyKHDQ7GFASRgiH5jRgROgxyA2MEjBwbq/yKZ0HGDQQGICyXuPJelSsyF9EqlcXc4cdh3ato0PMcKKyiraaGbakMwQQUX3EwqqqxaKJ449GiOQYpuyy0kThAI4AXgfjLGgAFQOG6hfUaBQxR9vMFAhUD8iMED5AzIAYVCAmkBA6iMCaEERjqUgLZLSgDhkQJeoKG9f97TqRYrNOKIDTZWC2u/rlJaqaUspDiHp8oMvMxCMcckU0wHXYOQHjvsiGejMv/BUDeTQPj+MCgMSqxvDzs8KcSEAP5ZZgETAvmngRkI/UeAEgr5B4BF/9kHARMe+eeASf/BhwEclGQyp1imgGWwwjCzUqjFGnuslihC3enLfw58M1ZZZwXqzH9ew0orrmKN8yQ6g6somRJ6ILbYHkbQpKE7kWNorDwiCKERQAspIYF/HjBBzkZEIKCfB0JAZqFCRPAjHAs8iGahzzjtS6ZysqACF4bsQ+MTUks67J00/mMInSqu8LLAV8OktWCDD17I1tdim23WXueskyJ8olGmYouVmYbKhZalSLkTQtBtGUZEcMAfaPHFRIQFyDmXmYUaCaGAZ+4kR1wT2NUJFyuu8CdKNu7+uRczLOnRUopyWhUYVoSXZrqiewpw4YYbXkCgZswUtocZOfYg2mHc5BTpV6E4bgifPmroIYcZQjighJJPXijllVteiJEQCJgZA6sLOQHnnGShYjKGCDMs6MNOdWwhf2iJQhakLWs68shJ+MObjcQJhASgD1O4GTjukKfgh8OOuCFhjS0WWWXxVAvaGfqop5ARcLAWW2259RZccck1F111XfD7JHvgrYWhekqpN7NSu9KX34XQoQKLx8GUvHrrNZOqDjq25z50WkcPSeyZKL644oxXZ5aiQVYIYnsIXpDNUEQVZdRRQyCVlFJLIcFU0+BNwsUVrgChf7xDSrQx3GH+hsaQc2BBCpuTiauUdj0KxuoAPdtHBDQWFqlwz4Pe81qGLHIPZXACBR4whDIQ2KplcCIEJChEMmpWCAzczxAv+IEQgpADINBBFDQ6QSHWp6N/8MhHfnBBkP4xpA88ggBI+p9IZkGFLIiqcAkMSz4YY6+F4GMWUaCFTiRIsAqWUUwRKIEmUoAAkFyNGh7knifUMUc61tGOd8RjHvVIx1REwASOyGMqXMADQvLgBYzYIx5TcYJC8mAGhFBHAFAQAHUEIgU/CE8PfWgd7OTAAslgCCY+oAMcQMBlCzlPetYTRYv44xVTmIXxkMdFLPJnXw1BhxSqmJMxmtGXY5IADwL+0LPMdBCOdOjCF5S5TGY205nPhGY0pTlNalYTmiH4gSa3J4q1CGUv7mmXSNCBBSt0aSEGZMMK9YMvoalkhee4AhXcdJJe/tKeCYqACC6xgmEW843HlGMiBTrQRKaiHQRFaELpGIgSBAEI2uQmW4LyzSWFMyQY2eVCCLeZ5XUFH1tkiD1eQh96Jo2M90QpZgzQj7ZgYINdMSYcQSirr/zDGiZAXQ8EoE4ERUJ7dBCCHLbZzYmysiKAYVVbZslRdmLmHWhwHmSiILiSQi6lV71e9o45U16BpR/ku5g45qmgURwzot40akPeVQV5nVNKXVNeUxXYBjS881+8NClW9Rr+lBKUayHkYCgEYdqadHShHbsSHVhkFYAHcGI16eCCBxBFVKBQtFMh0RnPBjcqpm7mo2ag5bukQECR1HOvp91JIBCwA6nBIAFideNCCnvYg9VUVpoQQApycIMakIAQ5qiORCubVoYAjqr4WGpnN/NU5+WDcbGsKvVQO12ZqCAfKXhpbP8xW8R+T7GxMkAgCEAoc7CCFcD9B2V/YlmLSuwVVAijW9cA17hyJh50hSA6ppDR0uaVuv8NyQVuwAMcFBgHPBXKmbhb2+++iRAq0EEOCpyDBaBXvT5hr0nQcQUrHE2jt+RMR8PyWVrCcwpjtYhpAbxiZbWxQYQ1bHcd1uD+WA2CEf8o73mDi1a+mASjDEFu8kIsV6dCNaSviEJb+2tVFjdZJ4JoQWhcrBQdYIKlFVFwjBmMsBxbWKKcwAAMIsCsYljABTGYgQH0Qtx/wIIKSYVHG9ZQIc2IOCz3RQOVpErVkKjYyX+2CFGs4Q2kMKQfIYgBJ65MkSzT1mC2NViXd+wWA4hDLmONRAMiseYeh2StSv6Ef2pj567cA6QLOcddTeJnQLe6bhegTQgUvRA/SHLWWIaxoxPLZfN62TkIuN8fBNKQATjAauojbgCvQKV8JHfItWFu0bJbNv+62toOeYBVMOAIkNRjBNgowa0ZnWsZ05TGs5J0etlSDAT+OOIfhEDAKQHFgD9xGpxSrEJG4zznURMZM3huIz5kEYXiLVm613Y1I2D9D1mztAGFwAcJxO0QE6zgBoSwhCVQ0YVVUCLjHwd5yEU+cpKXXOSMeITJVb5ylodcEl3ogsct8QC2KAPY/xB2Uv5hiAaUhyFlXsEMMPDxRjCC5JHYkhY+jjw3tNzpIH+E0Z/udEfsoQyl+HggoqD0kkfCEB83xEkR3mRBHyUpHkABCnIAA2Wg+B+NLndXea1jdbflLXGZi+ISwIApNyTDFomPFeijD2c/G9pncF6ABmTwgY3d2p8JzWhWKPFFNwTuWz5YuokKZjF3537GYAAhRPL3ijj+CUr/2Hc8EETqO9N1V6L1cIqr7Xja+4rcmI90r3dc1E5XxLiDE/Xq/Y0Ze5gCtIp7LuMnWHvm41q2Wn70uWWleeGu16j4eG98+VF4wx/eefrlr8Rm33zyJ+z20Z+7r3l/74qMs5wLSX2CWH9nNqRhV/CUZ5/HX/7mXx79mde9ulu/irKIH9Oo4BO+BCk+M8iPfxCpKDCnmdg//qs9/9s1AKS7C+sJ0muIWHgzEzEFNEicBEyQd0A8E7mFVdE/JqPA/ju/C8y9DKw+DGOleyAe+JMzeFCQ+aO/NHCTc5gC6ZE9FmzBCnxB70q/3Ruu3usXAfKwUGsDt1MuBKkH43v+B1TDghMbwoMrQiN8Pl1DQgxUvyVkv4YwwO0TMvkbPs0wwcJ5QJKiNiLswrGzwDCMwTG0PiZcCA9klfjbwTXMjHiov43YhxRMqjjkwjmkwyOcsSQUQDIkwIawQSooOChkEB4Miyo0gyv8ByAUQvGTQ0W0tjpsRDFUwjwsw+dxwn8gvDRUQwZ5BzMoHBNzO1YTRVcjRXNzRA3kCQ68iHzDQX5bEEzswY14QwkMxVsEtFyUO1N8RFSMRIZwM1axxEsExMxYwPyQKsEAxURUxlZjxjeBtIKhPh5LxUksnmZzxVeExRPsxCBERm/8xj8LxzIZR1opxwG8rA27gqNBJzr+Y8cFSQk00IdOvAItRMTGm8dRZERddEZe3AkONMCNshBiDAtTO74HjMAumsCFZLF6JJN7RLcAhEid4MBpxBTuC8gFgYcT3MZuVEiPXMaGbMY7PEUa7D18uEF0oq8/FBMsARpPhMnlk8mPpElxlL5YyUdI7JRxuoIuociKvEbNIDGDpIKhFLuitB4okzJxaQEXOIG2Y40vjDuk3MUvC7MxYwhjkIAVGDp7i0YnyYJ9qIc2SANassYxgQcj08iEJEqtrB5BI7SkWIbV8AMIEIex3C7og0FyJEm2oDRLyztsGIBAkMKFID1ZqILJ6Ig2IK1hnErNoAeVoAd/UBXo4sj+ZATMplG4WJs4QHiAY7O8o7THpHyTcrS5YBs2SLCAEECBBICKivi7fsi+fzAFzhITizycTygDxzgHXfLLrFxNphmEbPuHbXMxanABYxirQai4i8u4jeu4qSNPp0O58kTPlXu5mMs4mvsHdnM3eHMZQ/gAP3iGBhiAhgA6oSM6qSsEK6ACQjAENhDB9ETPqDPQ8iSEM1ADSzAEKpgCkPM6sJPO6USY1mS4W+MGFGCEvmMIkBwTkZy+x/w13RyIRmiAS/iHAsgL4fQbncECf/iENWiDghwT5TyM0TSDeRAtArJFC12asiu0fxAHG5k28yNL3HNMGbQ7uLg0QEEAQgj+B7mASyaZhc3chxAcweQMTc3gh1gsBS8iOCDrSCBFGMgTDdJwABx4AReIANn8UNoMSdssk3zkPO4YhPthhA94gQdoL4fwm/eShftaAx0kExw9jHhYAzXYB3SYKjJVTTNNKRAVExFVShLVx4n4NCi8zJW0kOPZxFQDmNSUR0m9Kkq1EEu9TUxlyolQNntQybwkk32IxTYQrSv7UVNFKVRlEFWtU1aFxvfAKHiQEtUrE0RVIAK1B1hIMlKNSV3VK15dEF8lk6UM1omYxqg81C71LOb8BFxQQUwpU2j9JWlVEGodE2vFSXAaHviyS7y8UW7djL1sA6EU10glVzMy1wT+QVcxUdcNZBd+nFHPjBVkzdE2MIMNmwJn/ct8LVc5DVE6rVZgXdeKkkstlRWDDQt+YE5TQLIuyVWHLaN9RZB+tZB/7UV20cxWkDNOfBONvTM1WIPkC1mRpSCSrQ2TZRCUjUhOUYb3YgX/6FTQlBX7MINkgM6atVnrwdnO0NkF4VmT5JRMkA83uMtZgdmuoFUzaIMqGBClXVrJaVrOeFoFidqcsKxZsIItkBKA3NZZwZIt6QewDdumGdvNKNsEOVuZsKxXqIItQM6ClVfO0KIyKIQko9u6XZq71Yy8RZC9PQnL0gIqCAP8oJVwCIQPeICQEAdAaAEdsAH++QlvcID+HNgBE/C5CEGDM2ikHIAKbjiBABiw1GAIt8ABHnCBZOmiCMgBHkCB9KkHDNCBY6kGxUUQxs0Mx60NyDUJiloGLVgCqPLQQ83czbUIbwgEBmiA0P0JS8OBQLCEEJgBnfsH+xgDHriCZTAEa9gIa6ABHTgAToCOcMGHANABP+AED3BdTGkAHSgETTABGwCafsAAHGiETICBFzDe2kBezFDezmDe0VMSXbCCMBDBgsFczT0JS+Ben1AGF2iAhUiGGsjPx3iH86UCV6GGHPCAhTgKCyBSD1kIcaCdf6gHHFCIfbCGHhCEf8AGHhA9OOGBBe6MBj6MB+aMCA4JiqKFLQj+AzYwVqyt3g3uYIqohwDIqR7AAQHYB07AgRv7h2nwAAygiHhQA0LKgRSQk2nQAQFYiHqQABf4B2rYgftxQA8IgX0oBh4oD3xwAQvYB0bggXAwERwgYs4w4rBA4s1QYriMBS44gyuSYg02CQ4WXYrYB3Eon4pZBnHwh0fAAU5YCGvAADI6njFQAgVQgRygjmjQgSC2hwWwgX0whh2Qk3uwgBboB0FujXwQgQ/YBz8YYhOJgUN+sST9P5t8xop1hTBQA5edZOsVCUv2iU8O5VEu5YqIBzQIgywwBLdckldeiFie5Vq+ZQtYgV3mgV4eAQ8I5mGGFBkw5pDgykJoo33+eIAVUIFiqLw4RebGxEdMvVNmWQYMqAEXcABgQbaFKAdWEIM2KEvqpeRpruKGuOIs3uIu/uKFEGMypgj7IIMtYAQMMIEwbuM3juM5ruNxxmM95uMu+uNAHuRCnueKEMwhfQQPEIdI8ABwUMwFS+Yl9bXIfNJliNLmhQiRmoIl0ILYi2YqvuSr0ORN7mTnAOGFUAYSrghaFYMlYAIc+IA5ZmEX/uMYloAZruEbVgib4mEfBuKFQAZ4rulXc02HA4R72Iei+GnGtEOh3rHcxLlhW4YLqIESIITpfYjheQIncIInwAKnLtgptoh+sAZOCAAcCIBiKF6e8N5AuAQQmAH+bHgVC4BhcTgABWiCJSCkJTgH99UBA5DfHKBf+8Vf/YUKfGiAHPjfAB7gAnYEBIaBufY768TOf7AAiPsHGNjscVuIdegCVmAHhZJuhDKo6bZugWoHEoXPd4s3TKmHT44AMEY2WpgCxmZsKTjEyJ5oigiHA2gkHXAAnyBd0zUBUf6HaviAECDSCAiP1YaCLIBd2eWBGBDve1iA3nUBgcEH3vVdUHpj4e0BEmgN4f4HDG24QrnrvA5OzPxOjLOEVUgmaxLxESfxEjfxZ2LPmau5m8u5hsAGA/AD/URnodOCKDBvJ4ACrkvQBEXQHd/xQpCCG3eCKQg7Ck8QIU0KR2D+CknoacXMh1Voh3W47ilXpIOi8iuvI2Rol25yCyfNO3wAmkxoADse7/I2b/TG4MGtDXi68f9uWCPHDDSVvAxagRWYOH9GE4RZ5M1AC7VAy87L00wIsxQQgM/ETAJQbMZ2bMh+2ZK4h0DIKRdYbgUxTSg483N4cziPFazRc4klkz6/SYB1wFiogsBh9EaHFHLYZGjo5wTxhwDSpS7JdE0vE05X0oIB9WUW9VS8XDVPkMSl9QWx9aDG9bQI9ZTVQ6z1dQQB9mBPkDat8xU46Gin9mq39mvH9mzP9hl4AW339m8Hd2uXgRiIdhpQs6AQABqI9hiQgXB393e39heYAXj+p3d4d4EaiPYzc/am8QBjN5gIUFGEEQBE4QxCOHeDwQQYRhhr0O99r55+RxiAX5qBrw2DR5iEXxqGd/jqIYTEPJhGkDeD0YTU1YxjAJuCiQbxNph6GISNd/mXh/mYl/mZX5BkQAEd+AMEGxNHCAEYMIANl5UCsAETkAQE4QYEwIEQcPBYiYYGgAEPsO9ZoYYYqGGaX3lxOG6d/1QMYIRw4PqhvURHQICir418EIdCYIClL5N8GOl6MAR3phV/SAYAsBarPxgJKAStZxBNcADqcABC0HsxyYSxVxBGSHtZwQY/UDP5VWhZqQe6t/u7z3tZeQQGCJcEAARPX5DBJ3v+BDF8tSeTaRCAGC8GCTiGgnn8uo98C+kHE5CB15eBDyhevA98BeF7vwf8guF8zAhm2JcBFACECj/8WEn8xS+dWEn91S8Y2nd8rheHr9d9wk+Qz5cVtseAemAEuKeV5Ff+WAEHD8ABGsCASScTmIGBAwD6WAkEFbgBGSD4zbAHP5iBGzCBIH6TpoeBD9DdWcGGELCBGwCIEP8GEixo8CDChAoXMmzo8CHEiBInUqxo8SLGjBovcnukaSPIkCJHkixp8qTCGzrIDTTEIwI+hJYYxWR2wxpETCiWQfQQQJzJeoGUYQzw4BjKhOIk9HDQ758yDy8YDcQGYEC9f9AYIfv+R26BBYjVEkCAaMkDpoz1Cj1IOI1APohCGdgjZKJfMRFJ9/Lti/HGjEFPQ8SAiRBsVps4H+rk+dAn0In7JjO0RsJQ0aN+CS7NccHYP0IqRFA9iCkCIa9gxZI1ixalJhpZJdY1sfk27twHbyAogQ8bjQsPYh54MQMFMk4qaURAdsMCjBuCYj5aQeNFpLgJrmN4wVNSCRkxBs0eqGzEjBEuBIir58AFjQ/J9gWAT8PQPYIBMIyIYeiseAKA8w8jJdAQmAU54DCDI4WUMIMMA3jzDwYekGCDB6A9cwENKKTQADNGHdPPIA+iUAg+loRQAw0MVENQP4CsMIMIHhRCTgL+MNBgAlWaSDDIP8hEEMA/nGBwIAPLSHADDTl4gMEJ/L1gAw41wNDCDDnwkAMJgSzgggc1ZKhVAzTIIEE0RX5AAwkelDVNjjJg0BVB5PghgwsloMXJBYUEKYEfBTFyAwYxpNDIP94MMMMMHiwjTgAe4FNIDUeqcMkyI/DA5oT/4DMohysw4gENJVgjjgEY1ObPJTR4ykgLeBrSjyY2/LPPMjrotiuvFt0Q2zIHOGDBcINgkFUgI3xlQWI6BHCPIzFUg00NjORDyAvPMOICMv4UugwzJBiD6wvjEhTCAt4UYwMC4jRQADb7NNBAMipAss899+yjn3/4TIPBI/5EUwL+I5yUQAg++NQzzWUDiRNTMh5QxZ8m4nwggD0QRKDMMiZYEOJRhjTAyT+GSGCJBQnU0489cQ0UCQaD4JNACoX4Uw8+9D2AjI9AChnAMhY0QE4+9VhjQQoeKI2CBClYgEkDLUggSAsOYDK1Vw2gwAkzDzxgTwEeQKOMBBEw44AE9jCSAgT1+BGBPfUIgMFTAzUigiPeLAADJnz6iQyggt7ghz2CoPCMISsoYw0DHkAqKSE2QCKOACP8E1t5r+IACTcS0IBMNRi0m+qqre6TTArW7IPMDNPUemuuvco+e0O/MpCADMlIMJwHTNLAojiI/cMMDi+Sk4O2pg5EAyYOODD+4NrLAGIDizTgQNNA9cxA8j8hsJeCDTTQYMMHUZ3AQDEx6TfnP4XEEL71gBzwQDIEWYZZkRjMQIMOgewj+oQigIBlfMAP+3qAA0B2jDKxqAYuMMQAUHABRoSjIEbpSiT6lI9BnMB6JvDIj4I0JEZE4BGcsYAHCNGAFGAgAE3CQQ94oAOVyCmFXmHABTx1AAws43YD8YPEJOCns0EgGRjAgfgw9KJ/5AMQItjXI0LQtz79KVAE2RY2/lEMDARiAGH5xyUUF6lJueAf/XhEDC4nm4J8Ko31AIRtxHGAC6BKVXZhFQ3u4QcdiE98kngdrnRFu0ESciC/WgYOVHCPCPD+TgDqG4jwFPOPeiCvQIuhQSYQCL0ULOMPGJgGQrTHPe+Jo2aPvBUnDiAD9uhHAkQpBAaKURAA0M9+DfNHCBAADnuUwA/eKgBQIpAAAv5hIAhUYAMYkCaC4AoQJbhA/QZywX9ksBCMwAAh/GEICxQshMawQABIaEKHSQADyXBADySArQYU4mkDuQcnLHADCexjWUzcYQ8T8MMgDtEBRXRAARDSxCf+I4pT9NM3rTgQLGoRA4IgwBfDuIwxFiIFt4KEDNSYuU+9YJKCsFwd61i6PAaCBAXph3JulQxBFrKlvfrVPvyAiX0wEh+B8M4+8FEMfxAAAyyRJCWfwY0aNCL+H4XIViNakAxvxWAZy5CBIWJSDHsUJAQJUBe73OUBZexDHMvwRjVi8oAGPKOVRHnGCfyQFWSIoxgHS1g9wlGCQuyjHiTwAz4IUQNfYgCY/xBmNSIQAad6TIGFsJE/8LEMbFQDKO2UBEEggU18IOBEhZhgPSBwAkYEDQH4AAQKgCa0ehTNGuWshiZKIIFt2egCFkgGNoqxjEyYQFX2zMcO7xG2aJDNbGi7RyPYRo4ChIAZiSIKQRwRgkeAI0eYUEYEFjCpFyiUQIO7xyAOZwgVLMMaC3AcRS26D4wWKQaLGQhHPQrSVIn0jqZDRg0swcT0TQMHyrCHA1jq0v3iBqb+BKnpPwggg98x4B7LgE9zbjJJ5BXUOtjRznUk4AKeWKKDNiABNApyHhl8QAUAaE8DYFCDGQQgYuJDASb8YdaBaOIDM6iBCWTJCBMciBD2MIBxHEGIFcjAAjTgq18BC40LyIAEKUhANUTUD0J0kAYWQMYC9kfd8sRoBTH4AAYMAY4GzMAFIsAAVSoqAw+AgEhGQpKSMBBWtDmCP9HRQQ5uEOca4OAGXVoNbjFAJjOhSU00qNGbcGelAxTETjFQQQjQkg9GvCAGbTKAHyxQDQFExwKGQpSiGOWox01KvOSdxgUu3Kn01uOj/wgp6dzrqk/BpwYhwMeNb6ACCOiXv7b+vjWuQ4KPuETDJ6eMSMJ4agFZ5jojy2hAjXZM1WIzu9nOfvZBikEqGjzAMRRBgAxgzIh9QXsi/TCEDAjBiBUsu9vmPje6061ui3xTAh4477rjLe9507vZ0ThAAsQBCAvUrd7+/jfAAy7wgRO84AY/OMITTsgXuGAFDo9Bwx0u8YlTvOIWvzjGKw6DiGe84x7/+MRf8AKJ08AAFxEADSQucpCzvOUVdwEMXC5zl7cgBhJ3QRoVrnOGgIAaBNFEuXuFjE7NbhlllWYxLTIIAhAkGtbuVThAQzt8ZIIg3LDczrOOkJ7/POi8Gvogja6fpFdk6U1/Oq+iPkiqWx3rWq/+NwpyIIHM7eMBK1BBMfpNEK6z2Ou7AjvtxI70fwDABicY5xVD4IJ2IcTsA3H67PIxiyuUY+pVH8jV3+7vZ/zBAZl7hAfCEQkPDMggfL+c33UD+KIf/R8BKKY4HoEAxENlAYNYRgIC0XimPx7tusGFFaLwCsu3XfP+BoTnC9IAQOjrBUssyOmB3qt9yMMTo+hEPH6tG8G7PumcmH1BGoEAWQ5Anwdx/D+SoYhfsL/97n8//OMv//m3PxZQcAL+8U8F+vO///5vvy8cQvEZH70hX+ZYAIr8Aww83yCYwArcACFYggQaQiRIoAVeIAZmoAZuIAdagiTwQR7IgQiOoBz+2AEfOEIHpqAKruBMNIIFPoD3gR9BGAICEEUBLEBBFIMFzAgGSOAhbMAQBKEQDiERFqERHiESBqEQFIEcfIAS4B8TgEAHFAERJKEVXiEWBmERDMIEuh0BxpsBKh/z7YPzHUT0pV5S7IMn4IEcxMEeeEI8dAIzWJ8dyAEchAI9bF/rvd5AfB/tiR/5mZ9BON41UMAGJML/JeL/JYIeiOAdAAAV4F8UaMEdiKAeIKIiZiL9+cIBGEEwYJ4XfqG6hWFyYUA4SIIHEN3e+Vzf3QY97EEJgkIeDgTg7QMzhCAeMAO3bQb38WGRyKB5JMDt5d7uDUQhbkCG+UU9gEIcyMH+KMjDP+DCFWiBK2BBFuzDPIxCG4YCP9xGPiSCJ4KiKMbbkdxAC4iDNUQAOdCUw3GC3g3EGW4GM9ThKMwiQazerXhCHYZC5vBFLxaTaACGWg0CZhiCCLhAAlTQ+fHeMSYjX8wDLOpBPBiE2jFTPDSiHtgjX3xjOP5D5o2jzsUjX6hhHNiBJ3SjQeDjQMxDI47CPPDiHpIdRRCiITokSuxDPITgKOjDQVRkQdRDKMjBHUxkX3DkJ3pkKIKkwYlkGoqCHEhkQqjkQOSDNu7BS/bFP14ETSLjXtjiHcCBJ+xiQfhkQfCDJ8CBHThDUYLjUX6kUiIcU57EPlTlVSKEVA7+xD445R5Aoz/GpFYyZE2m4TzagXElBFkWxD44gx3AQWEmhVGK41vCJSuiXlPKgVUuxF3ipSi4IV8mRVYqHWBypVwywx0Q5kIcJmI2w1eqpWOyJWRG5lJOpvShRCi4YV1GpSoeRF7GgUvuxWeWXWjaJEk0Ax6Y5mlKXUIkph3YAVGexGMiJWweXFySxFnuZUNkJkHwgzbWo2f6JWgaY2CaxEWaZEOgpkHYIhzcwW2SxHO6ZXQO3HSKRDzYAR40J2bmJkLowx7EQSjw5En85kwGp0lkI386hHkahFnGgR64TEm0Z1K+57/FJ0jMQ3HqokNgZ0HQgx6ApViOBIBOxFb+CidI1MNmjkKHGiZyLkQ+gIIznihIOCiEEpyEagQ/7OdJPgSGFkQ84MEdNCZJfKhEhChJmCUc7IF/lmeKLgQ9aGMomASMxqjAzWhGOCU/QkSOFoQ+WmdJAGlECOlIwIMd5MF6HidEQCQcsOZIPCmUApyUXkR1jul9QkRewoEo9CNIcClEeGlIyMMeGOdDHChC4KQd3IFGvqhrQueasqlsouFFzMMdDKVEXGlB5MMecOiPeidwgqdogsSS3qFEACpCJOgeuChGqGmi1lubUsQ+VGpYRip+MoQ85EEuXurY/aWmiuhFqGGRoiREgGooUWmaHqp7nuq8pepEeEIc1On+REiqQWQpnGIEnj6EnmpETuLBs5KpRMjDhtqnRpgqscqbsUbEPNiBHnRmRDArYo7CHR7pRkSrQ0wrRnSqJ1CErwaqM8BBHrBrRnjrt65buD7EqjImqTIEumaoHpBnSLhrQ8CrReiqidJrkj5EPniCHIhCSPBrv6bbvzoEsiorRRRsQYCplrYrpgborW5EtZprRNRrQkBkHKDpvgrrg2bsuW0sQ4xrHqjsub6qQ8ypKDCosZUsiApoRsirRbBsQswnHmhfRWAszc4O1cBAIbhMOByk1DKtzSrEqsZBq1YEyP5kn84rydZq/sDAxgyEPQCACryAKxXjPzRkRjjswCL+qUXoA8WOwkY47dPyiji8gDV4wwtww0AIgOctQ+ps3aJqRMfa6c5ehDPcwchCq1/eQwIYgDhU7r5gAgM0QjhUrtvCLUak7EUgbUIsaRz4qEXo7d7qBiNcQFaEgDsWlASIAyeIwKtmLULgrM66KkaIAp0CrUVkpTIgAGb8wQEIrjIUgCHACZEs5MlehNGObsRKhNIyrUSo7urixiB8DYU4QlyIwwnUQA4YAvDCY+Lmqo3O7YXyrFyErUZkZTEggCOEBgIY1z0MgAzgAAbgKsNGhNxiBOkmhN06Y8x25LBmL6+07uvG7rzUw4HBWwM+YAROYAWy4AbygRycoAVzICP+PMIGb6AhxAEeMMIHayAjuKAEwiBUEO8/GK/gNsIDQAI4LAAC5OAOzkAPWsIPbkAhlPAFGsJykrAPX+AjCPEQS2AjhOB/HLElPMICFIEfdCEC007fWgM4BO5ANADGiIO0IG7XNWqY7u6ysq+c+m5/Sm6tUm4B4IgB7EsjLIAmUC4OOu/bhidFRC8AT69ECGq+XgT2TrFfBALMFQI0RIDRqEcMBEDq4S4zpa9GfC1CvOIdiG3weqeRmC0nEGQ9DMDaxtLn2vEen+Uo8Kr0asQAW2zqyiwgmxsjD0THFqpFQDJCOOtFKCxD9K9DiK5GBLCS7ie3RsQfr/J+tbLugoT+LOumunJjJZNtptbxpkYEHmcEL2ttPOArKQOzKgvzszHy1nbtI5OxRGhojy7z4H2nM+MqQ+jqHlxzKectxaLyRASzNhcSI79ySBzzLNvBZVKELS8ELi+ELm/ENC+Emf6yQ8jzPA8S7tJDGIsEPiPzHapvQvSzQvxz6aorJQu0HlcETsKBHkj0QSB0Qs9O1nYzSDduSGgoHsADPwttkBItwFYnO+exSOBDUDbp9WbzSOda1t4tLGfEQ+czd0oERSeERR/EReKBGLdzSLAkHCx1Qoj0TvOKzTK0UpNEUEN0KJw0QRT1Jz8zQ0QzSAx0OlfzR2OzAc/sVNPz+fasI4/+RFYfBEvOakR4NR2DbkOo80xL80ZfhE3LAU5LrE6vNX9trE+XRFwfhD4O9UPY9SDCNEMkNVQztUg49bWG9GATtkv9q1VP9kUk9nmqKyhwtWMXxFFnj2ibBFnndTO44UlLtWbfRriuqhx4M1yD80Voax7ALEOUNkGctjrra0isdkP8dUaraGbHNiGF62GbBGgrth0wdm+7dJdCdtLKqkGPdV9nxDzkgR1cNkHAtnL3hbEydM6ixHMjKEaDtG8PxFGL9UgQd147g2s3hHiP916k6tZa6Emkt0HEah40g0O09z9YtMPutXajBInWtn0nN37LTqq+M+M6NG5nxGL/tEH+ELhFN0MenDdKyLdDdLcdYHh4O/iDU3Vb525DJ4V/G4Q+iLb6arh1Z+goIOyHb7dG2KJlzu19n7hJSOl+c/VnV3hGaCtdK4SMP69uijKCDzeOawQ+OOVxG0SP+zhJSKmE80WLQ/c+TzR15+mMD4QzdLhna/RDbuhSV7mVK0TUTi1BMFkLMADjzqg8eDR43zORx20yI/hnXvLZDoQxSMAK9OBX42o22nhSgDjAxkMc5MFeq/maH0QVA67gpl8qLoSE8kMewEEzCDlGbPlBiPOUd/XkVu7ltvE/YMMA+E9Fzzg/hAIcPCxfKLrEvnNUm3ikV4QCd0/sJgAGoACKqZj+GaY4QWijJ5Rvf+e54kKuGAsvC7vwP0CCBYQACiQAvP32jOtjRvoFrT/EK8qBQUN6rv8292KA9/6DBZQAN3ACCmTRbzsgBFogBWYgBucBCjJxCXcwvn/wB2YwJJgwCluCCsfv/BJC/ZZMAT1DAwyADfOgD24AD2MgI+BBHCzxvltwEV/8BjNCHMTBv2OgE0OxFI+7Ruw67D5FAxxAVnTxsH/xTy5nmVP4ZtRD2J6osxfv8f5DIzTAJfzDDRb6Tyazp/P1ZpilZWJ2WpO8RlTxFVe6ZHnV4bZ8KzZybTc5Yis7ynY4b/9DVqoxG+/LMiAAIXSuyd21Hauz9Z5Et8v+hbFTOa4rfUQIstQWcj3sgwOoAAxgj9RTJkEEpcduBqgrBC0XRJ9jACYTJIF8wAtUG9APBDPggYdvRjgEwge0BULoWwvogORQBDZEAA3sAA44yj/QQx7EAV/eg17xwA7UsEeeQADcAA/kPUFQLg7wgAt8BHpFgJagAHJNEgboQA+MwPPBvUIwJaPrwZ1fPW7MJZ2ya5Kf80DwKaJzO+Vb/kF4QyAwQANs/kQsgwgEQjEwggq4gD10NB7ogz9IQg5EgAAAQQ6YkDXwzwHEUw50BT4EgA74ASd4QA7gBD40AEDoKKTJhI17//phwNEoE4wX/yBGlDiRYkWLFzFm1Lj+kWNHjx85gqAWUZM9iPTs2Im3D2TLisi8uZQZkd4eO54kLnsWMcCfmYMIQLxGYQO0f/VGwRHFcqbMcIE+PMhoyQakpv0u4cD0T58nOaO8YUiRLxERFB/+UcvhASK4Fxb+iXsLURyOBEdxIPi3z1oPQf+w8SAEERmPpocRJ1a8OORIiCX37pHjiR9jjzAtd4yXJ4+ziDp5+pQJVChRaPs8wdmDLzPHp1GnVq1YL0AP27d74BAwMR8jHMkgIv2qwgFZIhVs/JumY/dRCS7S7jAE0Z6HEPuK8SgGEZ8LC/sY8QgHcR+O1ufRpz8vkqTJUHJE1VOP0ZIHSxP9wJDxSCP+uQg4MAAuIn8AQAEFQvCx54AUSjCkn3AWcAEFOfYgxoEXRmDkH2UkuMGD7TjBAIYIlPnnEg9eaGAkRkJwIYHxICLtn6GKYuaOPOSZ76LXpKJPNor2EUeZIYlUZhlxJmIGBRAkoicPOWgogKwiHMjhnmh0GOwfexawYR9jdtjqn3ssaKGf8BzLR4QP9vHDMPJi0FHOOTu6pwAXbrjhBQTIUYy9x+xhhkJ66KSovvsk8mYZC/jLyJ+nDBAQokgYwMSSSgtJ4JhMi/EDgWX8MIEGH3SgoQYIqkHggANiOCCcBAwQB1ZsEgiAmwQEWCYBQZZBAJCIZKSxEz1uKnQiHmP+s0omajxwwTHy4okjrymrxAdLLbn0EkwxyVzhTB7SHMGDNt/cSwZj0U2XhD+8YUmcQEg4CLE//9GkGTjuyDFdiA6lyBpGOSIkUokACMCaehwgZIEA7FlmAUMaCOAfBFrwIAUD6jEAhgV2DUAEAwxBYLo/DmDkAEn+GSABRhDYToAFgA1qRqL0gCMUptJF1kdlJ6INt9t0i4jZF4yaaJ9ObvgAn7KQU4654J6LbrotrcNOO+68A0888szb1+uv5x0pnjbOMEMOeHBOt9+J/m0UgRRciPuERiMSWNKJAxCnnwcAccAPvhggxAGJk6kVAw/cQMOGCBooJAAPDgAEAUf+/iHEVwQ0+cePXREocQAGYi7tiDhGqcxrnS+iimeJgiySyCMhmsYDGJaxiJsPbBilrLPSWqst7+J6QQK67MJLr3/6+iswLQsD2/n0DvBnrwhYS0ykeM4gQ/syPsnn67UlajvggSMq+OCEF2744Yj/4QQBB0oYg4wxeBijBkA8Blnkf0g2GWWVWeYymMVIZteQzB4I9TXUTaQf1uBEAHAQgGJU4yPT+EANLkENaljjINywAFz8IYkdpIACQMgBf6xBAx0YgBMWyAEy/oGPAOjAD5zwQA6sEcMG5GAgBTlIQnDgiIbA4HlFzEwESqCJFCDAe9ajRhvKoD3tpQEVqbD+4hWxmEUtbpGLXbyiH0oQAC2qwgMCsKIFXiADNb4AAFlcgAUIgUUAXMAPAcCAHxQAxzwGwgEWgJgFIkCD+tVvfg1glasSUABywMoatbqVAJSRgEH06lcEhIgn4nCH2oFtgRIJxwF4EEoe6MABHzGGKEOZg8FU4wMhgMg9BpGDUR6PGycIwA14EAMNvXIBsnRBJiKCjwjIEgWSqgcGdNADEjzLiM1EjAR4EADp+Ykaa5DiNbGZTW1uk5vdvCYhr0m/UMrPm+Ik5BjkJ05yqlN77DRnOmeQNBCJiET/qE+KpvEPRojABQsAR+j+4Yk6UKBoCjSG8/YhjzocIRgQ4cb+CJwZUWdGQASXWIE0qQnFa1LRix316EetWAhVgJSkJb2iAl6ATnSSAQ2f6MlPCmga54XjoM4jixEa+o+HSpSnzzNAP8aEgeqFDXtS5F4T9wUTSDQrbgXI4ZwiwYg2zE9+baDHS0cT06LM9KD3CMTPeuACCsrppjndaU/RmlaQsGdsYlCDO5Ca1JiAjR6mEAMaTEEorLokWDLl5EH3QQ7XKQMaQCVrInDqUIiqlbE6KoEfYESOQJRAXof5Ey6iIIuheg0z6QrAAzjBGnRYIQmV3GtL+rrVvz6vrIpt7GvTEwgE7CBPMEiAONI2k8tmdrNy3ZcmBJCCHNygBknQwjn+IHJakKS2oKerKdhaq9PFwpa6jFFBPlLQWydCBLOadV5n0WWAQBAgEP84xxWwgNx/KPcjzOUqaxFr1ulWl76HuQAucZBfHMhnu//ornbRBV5jEUIFOshBfndwAfWy1yPuXa1N4+va+k74MBiIKzW5y9vvznVfg9DQedObXNHwVavN3RdN4ZtY6VKYxegRRAtgUIi4QkIHmDDsRHbrXbAJ2GsgXrBoQjSiEn3GAxj4J0UcbNAUy7fFTWaMXKzhjRdwIyL9CEEMOHFjieQYwMbi8b58LOIxwUpWBmDKPv7gAgYceSJJdu6SJexkOTeFEReQTwiyDJE6oiDPFOHyhp/+F+b1+kQZ+yMZleslgAv4syJuPvFzvxbds86Z0qh9gEkw4Ajv1WME2ChBn3HsmP8C2nmCfmkxJlc5BDAjhgEIgB8YjeQSvxfCKp50pXHNkTrfOc+NwwcJQP2PQZhgBTcghCUs8YcoaMERyHb2s6EdbWlPm9rRZsQjqp1tbW8b2oWoghUKgewHENrQB6ByIwiQDFiz+R/FsMAKZoABZB9iAxsIN7fxne9nP4IR+vZ3vh+xgCL4AdmGmG+uEX4RKLsF0R4wUA5goIzc/uPPO+bw10ztk3skcpFm/ocgToACGtjgACZp86wfDN0IrzjhLb9IIFwQY2hEgL//ALaWI1L+8a99OV0Zh0iQI8CJQUxNc7E+eWlUq+RaM9nlTQ9bhnW884v3GL0/hinSTZwzSHtN0gd3+tc/onPOTh3MVRdzVrFOa5Xb2utgd7tGxO7bUpt90FefWdLfvPQ4v53vGYl7uniOLp+j/e5ZRxeK9c7yvi/eIn8PMNl7TncGd8TRWoez4hmf+ZyLWsMWD7TkR4xalCt97UzX/Okd72XICx70dqeR4Y2F+NLv/fSMT32hAm+swZM47SmP9MpvXfvF355OuS/U7kXfe9L/nu3C1zzx52R8OiF/uaPP++wx73y+Q19O0p8T9dtr/UdfPvjadzv3deR9OYG/weK3fOLLb/7+r6N/PurXEfsp7/7Db31fXZd/3+lPPexvPvCPIypv/8iv7f7P5QIwPQZQPQpwIw4w9vgvXfxvAc+P86Ju7D4vxOqO8F5P7ZjP9DDQ6RoQPR4wPSJQIyawUGRvBGmvBFvuBM8jBdFjBTOiBenkBbkO+BRQBnGNBlvDBs8DBzFCB+eEB/vPB4Gwul4sxpqoEFrABU5A4ipCCDODCFtj8IBuyI7hAl4gBQag5iQCCeVECS2QCZvwtaBMyhBtGVjDDyAASfxMA7sM91ZP91pv42IFVlgCHLhhHzThYRpN/ygwAdfwtXbtH/BMywDhAfqkDqHuDosvD4+v9QptZMxNIjj+YWUKUfmuDwazLxF7ahAu7R8yDamowQWMIW2GrdiOLdmWrdn+rRar7dpsMRenzdvATdx8AtUox3JYDSIWiQEiESLcDd7kzRLozd508Rmdjd+gcRoDbuAK7gdJsZkWsREdCgUY4cI2bxJJDWx8LhP5ZxOPwgAeAPbMUEfQEF0uMBvRauGmjC5QoBDuEAstQwszw+c2TpH8cEwIoJ4soh3n4x2NJR7lsadgTuZozgFw4AVcIAKOccvscBwxrvXah56EzhAYIQVqwAU8oBE+sfBEsAebbyErTR8Zgx8twwgvwiDVAyELRSFV0slYcjFckjFgsiAN0QUrEB7V8CblLCf+FWMnF6MnSzIEfQ8lSZAoW8woEwMpFUMpZQ0Uxw/+sBEqqUsqEYMqE8Mqj84km3IJU5Iro/IiPW/uPHDyDPAndzAoE3Io0ZLCvPIwwBIxxLIM4TIJ5bIm6bIu6+sumyIvD2MvAYopl88pY1Awu1Itpa4DrQ4E/WoxzfIpHfMxxXEtyVEjeY8sLTMNzzIzq4swZ8IwmwIxLQk0Q5ExR5E0G8s0ZQI1Z0I1ha0vz/Av6cQmYTM2IZMD2XIyP1MxW/MyG7M300o2XYI2ZcI2ZTI9aHI3AxM51Uo5W4I5XcI5cdMddXNOeJM60co6QQI7W0I7sfL9sC/+wJOnxPMjyBP+JMyTNbMyPbdyPY2oPS/DEqfPM5NPPtFTFNXTPtPjCWWMPB5gBVSgGHAOIvCzI97zI7iQnoZMn1oEAehwLIlzPgG0PgX0yV4gyurxHx7BA8QhEjyA3cLRvzovMoNTzPiwzFhCGRZgkhKgvK7SPxFQKzt0Trax1wDhHvbhQ6/wN+WuM9uS3DTx3FomZe7iRjP0P10zQHfUMkwR0zTtHywAH/8BBsYq1CCiFqIgC2rhFsi0TM30TNE0TdV0Tc80FmiBTeE0TuX0TGehCo603VJNGP8hZEqkAAZoLKOBKBLhFwi1UA31UBE1URV1UQ81EQ6BUSE1UiX1UH3hAEZzStH+o0eBqgF+NEifKkaIzdiQTQugwAlM9VRRNVVVdVVZtVVd9VVhNVZl1VStwBB8cUPKTUm3Q2UkIhnjDdn8YAOGYFiJtViN9ViRNVmVdVmZtVmd9VmHtQgG4RoxdT7oEdEcAQPEQRJOdEghohy0YBZsYU7JtVzb9E3NNV3LdRZgyEU5LiAjiUZtdCztIREGwBcmNV/1tVEfdV/9VV994RAiQkqrVTEashBmrh72IQJWYAWCLUXrxeQ4E2xA4+yAriP3lJ9epCT/IRo2qSz3BR+A6TgL9mvoBTIw8msq9gM/s2M/NjTTRWQHlkNLtlBOVmJZ1HlW1i0lUGZc9nmik07+ZJZkazZdbvZ5HvQjdjb0qi8iPBZou3NOhvY1i3ZfJLJhVyAksXZrubZrvfZrwRZsZ+AFwrZszfZsu1YGYgBracAAZkIAaABrY0AG0LZu7bZrX2AG7nZv79YFagBrXSBOqjaiPGAnnCcCLqGIBGBeGUNgngcT4OJ5rMGVBhetCvd5EFdxGXcxHNd5ILeIJrdy0YoQLvRrGmEYnUcTtiMzjkFMwCYadsl56mEQRLd2bfd2cTd3dVeikgEFdOAPyLBQHCEEYMAAPjVdCsAGTABlWoMbEAAHQuBuCiUaGgAGPIATvoYaYqB4dreI6kEcsjR45+SYGCEcMIARJm4HHQH+AZg3M/JBHAqBAaTXOxkBA+rBEMbFa/whGQCgSbu3iCSgEMRXTjTBAbYjYQaYTjKBfdODEeQ3XbDBD9y2hWBvfPv3f40ogBN4Ph6BAWAoAQBBP+djgdu3NRx4fuVkGgTAD9pNAo7ha+rhgjG4UPrBBNRIjT6AgjQ4XQr4gAlhg+WEhBOjTW5YBlDgV04YgiW4fSygguUkhv13hr9mh9GFfMXhfNNXgRk4Ux8YHuu3Hhghf70GiqX4a8DBA3CABjCgSwulEYj3AI4XXQJBBW5ABjZXMezBD+LJBLTEWKgXBj4gc7wGG0LABm6Acss4kRV5kRm5kR35kSE5kiV5kil2uZIt+ZIxOZM1eZM5uZObMBkwIBIw4QJcFznFwQ8soBoE4AGy2JNVshAuoAW0dD2XoQFEwAMq0pW5Eh9CAAMmFDz7wRBkoI91GS0NoAFKgBBwFjmNwQIkwAPiuJhV8hEsgBNAGRJauS6j4QBuCxAsYEGlGTECAgAh+QQBCAD/ACx6AJ0ALwAtAKcAAAABAQECAgIDAwMEBAQFBQUGBgYHBwcICAgJCQkKCgoLCwsMDAwNDQ0ODg4PDw8QEBARERESEhITExMUFBQUFRYVFhcWFxcYFxgZGRkaGhobGxscHBwdHR0eHh4fHx8gICAhISEiIiIjIyMkJCQlJSUmJiYnJycoKCkpKSorKyssLCwtLS0tLS0uLi4vLy8wMDAwMDAxMTEyMjIzMzM0NDQ1NTU2NjY3Nzc5OTk6Ojo7Ozs8PD09PT8+PkA/P0JAQERBQURBQkVCQkVDQ0ZEREdFRUhGRklHR0lJSUlKSkpLS0tMTExNTU1OTk5PT09QUFBRUVFSUlJTU1NUVFRVVVVWVlZXV1dYWFhZWVlaWlpbW1tcXFxdXV1eXl5fX19gYGBhYWFiYmJjY2NkZGRlZWVmZmZnZ2doaGhpaWlqampra2tsbGxtbW1ubm5vb29wcHBxcXFycnJzc3N0dHR1dXV2dnZ3d3d4dnp5dXx6dX57dn9+doGBd4KFeYOJe4OLfIWOe4iQeoqSeo2UeY+VeZCWeJKXeJOXeJWXeJaXeJeXeZiWeZmVeZuVepyUe52TfJ6RfaCSfqCSfqCTf6GTgKGUgaGUg6GVhKGWhqGXiKGYiqGZjaGakKGdlKGgmKKim6KhoKefpaybprGXqLaSqryQq8GOrMWLrcmJrsyHr8+GsNKEsdWBstl+stx7s996s+J4tON2tOZ0tOhztOlytepztel3tud7t+WAuOODueGGuuCJu96NvNySvNqYvtidv9aowdSxw9C5xc2+xsvDx8nJysjNy8fQzcfTz8bW0cXZ08Xd1cXf18Ti2cXi2cXk28jm3svo4M7p4tLo49bn5dnm5tzk59/j5+Li6OXg6efe6+vc6+vb7Oza7OzZ7e3Z7e3a7e3d7e3i7O3l7O3o7O3q7O3s7e3s7e3t7e3t7e3t7u7t7u7t7u7u7u7u7u7v7+/w8PDy8vL09PT29vb39/j5+fn6+vr7+/v8/Pz9/f7+/v7+/v7+/v7+/v4yzTII/gD/CRxIsKDBgwcjDEPIsKHDhEREPZxIsWCFf0SMVdz40ILAIXs4ijx48Z+/FAtHqvwXQaA/fxlXjozgj2BMmRsx1LSpESfFDAbt3fTpEKjBeEOJInzwsmnTcilCKkWYwalVbESmUm0676WQr1+1Jnw5D4EwfzIoiWVowd88BcNS+MOWYi1CC28XIinmD4lEuwV/wBU4rIQ/ZSoAO0SizF8MxQ2VleBCDLJlwOAMgZN2+aAvzZw7F/y8OZJogqSfnUYNKkab1QPdyZ49WzTt27Uh496te/ft3r5zAw5O2647gcSFK63FvLnz583FZptOvbp16mLvad/Ovft2sfzCKYsfT1782qYPX9pV75D9+Z0M3YtFHx/+e/sE5a/X7/SyVaui/YefVgEBACH5BAEHAP8ALJ0AZgB9AEoApwAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAEBAQEBAQICAgICAgMDAwUFBQYGBggICAsLCw0NDRAQEBMTExcXFxoaGhsbGxwcHB0dHR4eHh8fHyAgICEhISIiIiMjIyQkJCUlJSYmJicnJygoKCkpKSoqKisrKywsLC0tLS4uLi8vLzAwMDExMTQ0NDY2Njk5OTs7Oz09PT8/P0FBQUNDQ0VFRUZGRkdHR0hISElJSUpKSktLS0xMTE1NTU1NTU5OTk5OTk9PT09PT09PT09PT09PT09PT09PT09PT09PT09PT1BQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFFRUVFRUVFRUVJSUlNTU1NTU1RUVFZWVldXV1lZWVpaWltbW11dXV5eXl9fX2BgYGJiYmNjY2VlZWdnZ2lpaWxsbG5ubnBwcHJycnNzc3R0dHV1dXZ2dnd3d3h4eHl5eXp6ent7e3x8fH19fX5+fn9/f4CAgIGBgYKCgoODg4SEhIWFhYaGhoeHh4iIiImJiYqKiouLi4yMjI2NjY6Ojo+Pj5CQkJGRkZKSkpOTk5SUlJWVlZaWlpeXl5iYmJqampubm5ycnJycnJ2dnZ+en6GeoaOfo6Wfpaegp6qgqqugq62hra6hrq+hr7ChsLGgsbKgsrOgs7Ogs7SgtLSgtLWgtbWftbWftbaftraftraftraftraftregt7egt7egt7eht7ihuLKjvK2lwKmnxKWpx6Kqyp+szZ2tz5uv0Zmw05mx1Jmy1pa02Ja12Zm32Z652KG72KW+2KzD2rPI27vN3cLR3crV3dXa3uDg4OPj4+bm5ujo6Orq6uzs7O3t7e3t7e3t7e7u7u7u7u7u7u7u7u/v7+/v7/Dw8PDw8PDw8PDw8PDw8PDw8PDw8PDw8PDw8PHx8fHx8fHx8fLy8vLy8vPz8/b29vj49/r69/v79/z89/399f399P398P397P396f395/395f395f395jLNMgj+AP8JHDjQgMF/Bg0QXMiwocOHECNKnEixYkM1FjNq3Mix40SFHkOKHEmyYMmTKFNCBKmypUuSGF/KnKmRJc2bOBvazMkT586eQF/+DEq0IbujSJNKHFq0qcCkUNktdUp1YVSlEZlWDZq0ShWsK7duRerVK9KpYqlePeswIcKDaYmSLcs2rl2CXb/WvXt37VG+gP1KBUy4sOHDiBMrXsy4sePHkCNLnky5suXLmDNr3sy5s+fPoEOLHk26tOnTqFOrXs26tevXsGPLnk27tu3bTW/Vwy0Rmb1pvCEq+2evX3CHzwT263Sc4fB/y3c3H4hMead69qYL1E3QXvbp06o/d/9+nPxA7+ZxpxeI/rin9/Djvw+Ovr794PXy69+fPziy/wACOJ03BBZY4IAHGuhNcwf+o6B2BBkI4UASHhcQACH5BAEIAP8ALKAAVgB6ACMApwAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAEBAQEBAQICAgICAgMDAwQEBAUFBQcHBwkJCQsLCwwMDA4ODhAQEBISEhQUFBYWFhkZGRwcHB8fHyAgICEhISIiIiMjIyQkJCUlJSYmJicnJygoKCkpKSoqKisrKywsLC0tLS4uLi8vLzAwMDExMTIyMjMzMzQ0NDU1NTY2Njc3Nzg4ODk5OTo6Ojs7Ozw8PD09PT4+Pj8/P0BAQEFBQUJCQkNDQ0REREVFRUZGRkdHR0hISElJSUpKSktLS0xMTE1NTU5OTk9PT1BQUFFRUVJSUlNTU1RUVFVVVVZWVldXV1hYWFlZWVpaWltbW1xcXF1dXV5eXl9fX2BgYGFhYWJiYmNjY2RkZGVlZWZmZmdnZ2hoaGlpaWpqamtra2xsbG1tbW5ubm9vb3BwcHFxcXJycnNzc3R0dHV1dXZ2dnd3d3h4eHl5eXp6ent7e3x8fH19fX5+fn9/f4CAgIGBgYKCgoODg4SEhIWFhYaGhoeHh4iIiImJiYqKiouLi4yMjI2NjY6Ojo+Pj5CQkJGRkZKSkpOTk5SUlJWVlZaWlpeXl5iYmJmZmZqampubm5ycnJ2dnZ6enp+fn6CgoKGhoaKioqOjo6SkpKWlpaampqenp6ioqKmpqaqqqqurq6ysrK2tra6urq+vr7CwsLGxsbKysrOzs7S0tLW1tba2tre3t7i4uLm5ubq6uru7u7y8vL29vb6+vr+/v8DAwMHBwcLCwsPDw8TExMXFxcbGxsfHx8jIyMnJycrKysvLy8zMzM3Nzc7Ozs/Pz9DQ0NHR0dLS0tPT09TU1NXV1dbW1tfX19jY2NnZ2dra2tvb29zc3N3d3d7e3t/f3+Dg4OHh4eLi4ufn5+zs7PLy8vb29vn5+fv7+/39/f7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/jLNMgjGAA0I/CfQwL+DCBMqXMiwocOHECNKnCjRIMWLGDNq3EjRIsePIEOKTOhxpMmTKBuWTMmyZciVLmPKnAhzps2bCRHh3MnzX4ueQGcyC0q0Zc2iSDkOTcoU5NGmUCM+jUqV4dSqVQsSHIi1q0N/YP+B9ee1LEJPZtMeJKvWLNu2Xt/CxYp2ble5dqPizdt0L9+kfv+aHEt47FfBLgsXPoyYpWLCjBujfGy4YWDJHymHtYx5suaFhit3Bqn58uiTpU/PTK06ZumAACH5BAEIAP8ALKAAUAANABYApwsKEw0NFQ8PGBAQGhERGxMTHRMTHxQUIBUVIBYWIRYWIhcXIxcXIxcXIxcXIxcXIxcXIxcXIxcXIxcXIxcXIxcXIxcXIxcXIxgYJBgYIxgYIxgYIxgYIxgYIxgYIxgYIxgYIxgYIxgYIxgYIxgYJBgYJBkZJBoaJRwcJh0dJx8fKCAgKSMjLCUmLigoMSorMy0uNjAwODIzOjQ1PTY4QDk6Qjw8RT4/R0BBSkFBSkFCS0FCS0FCTEFCTEFCTEFCTEFCTEFCTEJCTEJDTEJDTEJDTEJDTEJDTEJDTEJDTEJDTEJDTENETENETURFTUVGTUZHTkdITkhJT0pLUExMUU5PUlBQU1JSVFRUVlZWV1hYWVtbW1xcXF1dXV5eXl9fX2BgYGFhYWJiYmNjY2RkZGVlZWZmZmdnZ2hoaGlpaWpqamtra2xsbG1tbW5ubm9vb3BwcHFxcXJycnNzc3R0dHV1dnd3d3h4eHl5enp6e3Z7fnt7fHx8fX19fn1+fn5+f39/gICAgYGBgoKCgoODhISFhYaGhoeHh4iIiImJiYqKiouLi4yMjI2NjY6Ojo+Pj5CQkJGRkZKSkpOTk5SUlJWVlZaWlpeXl5iYmJmZmZqampubm5ycnJ2dnZ6enp+fn6CgoKGhoaKioqOjo6SkpKWlpaampqenp6ioqKmpqaqqqqurq66urrGxsbOztLW1tre4uLq6vLy9vr6/wcDBw8LDxcPEx8XGyMbGycbHysfIysfIy8fIy8fIy8fIy8fIy8fIy8fIy8fIy8fIy8fIy8fIy8fIy8fIy8jIy8jJy8jJy8jJy8jJzMjJzMjJzMjJzMjJzMjJzMjJzMjJzMnJzMnKzcnKzcrLzsvMzszNz83O0M/P0dHR09PT1dXV19fX2NnZ2tvb3N7e3uDg4eLj4+bm5ubm5+fn6Ojo6Onp6erq6uvr6+zs7O7u7u/v7+/v8PDw8fHx8vPz8/T09PX19ff3+Pr6+vz8/P39/f7+/v7+/v7+/v7+/v7+/v7+/jLNMgiOAP+RePavoMGDAo8QRHiQxD+FDA06fLiQ4USKEQX42+jvRR+E/kj4+8cRYkOSB00WdDjSoD2VLBHCMxkTITqINRGSOyIQ5byCR4IG/Qdg4zwAr/41cXXwwL+jz2D8IyfVIICjev5RqaWVaUEaABY+c/HvW1WDMgxS+fZvBkiD5lyI0fY24sGWETmS3MgwIAAh+QQBBwD/ACyhAE8ADAAUAKcJCQ4LCxEMDBMODhQPDxYQEBgRERkSEhsTExwUFB0VFR4VFR8WFiAWFiEWFiEXFyIXFyIXFyIXFyMXFyMXFyMXFyMXFyMXFyMYGCQYGCMYGCMYGCMYGCMYGCMYGCMYGCMYGCMYGCMZGSMZGSMZGSQaGiQaGiQcHCUdHiYfHyggICkjIyslJi4oKDAqKjIsLTUvMDgyMzo0NT03OEA6O0M8PUU/QEhAQUpBQUpBQktBQktBQkxBQkxBQkxBQkxBQkxBQkxBQkxCQkxCQ0xCQ0xCQ0xCQ0xCQ0xCQ0xCQ0xCQ0xCQ0xCQ0xDRE1DRE1ERU1FRk1GR05ISE9JSU9LS1FNTVFPT1NRUVRTU1VVVVdXV1hZWVpcXFxdXV1eXl5fX19gYGBhYWFiYmJjY2NkZGRlZWVmZmZnZ2doaGhpaWlqampra2tsbGxtbW1ubm5vb29wcHBxcXFycnJzc3N0dHR1dXV2dnd3eHh5eXl5enp6e3t7e3x8fH19fX59fn5+fn9/f4CAgIGBgYKCgoOEhISFhYWGhoaHh4eIiIiJiYmKioqLi4uMjIyNjY2Ojo6Pj4+NkJORkZGSkpKTk5OUlJSVlZWWlpaXl5eYmJiZmZmVmp2bm5ucnJydnZ2enp6fn5+goKChoaGioqKjo6OkpKSlpaWmpqanp6eoqKipqamsrKyvr6+xsrOztLW1tre5ubq8vL6/v8HBwcTCw8XExcfFxsnGx8rHyMrHyMvHyMvHyMvHyMvHyMvHyMvHyMvHyMvHyMvHyMvHyMvHyMvHyMvHyMvHyMvHyMvIyczIycvIycvIycvIyczIyczIyczIyczIyczIyczIyczIyczIyczJyszJys3Ky83Ly87LzM/Mzc/OztDP0NLP0tXT1NXV1dbX19jY2drb29zd3d7f3+Di4uPk5eXn5+fo6Onp6enr6+vt7e3v7+/x8fLz8/T19fb29vf5+fn6+vr7+/v8/Pz9/f39/f3+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v4yzTIIdQAxOPtHsKDBf0gGHjToL+FChg4fEmyoUCJFiRNd9MH47yLGeBEf+msXcqE/dCUP+iuHxOA7gkhitiz4LkCrf05a+dtJsKazF//KAaUZAJI/KrOO3vw3AEALTf+ctfgHDgbBbjw7UgHnT4ZEcy3EbLO40x/BgAAh+QQBCAD/ACyfAEwADgAWAKcODhgPDxoSEh0UFB8VFSEWFiIXFyIXFyMXFyMXFyMXFyMXFyMXFyMXFyMXFyMXFyMXFyMXFyMXFyMXFyMXFyMXFyMXFyMXFyMYGCQYGCMYGCMYGCMYGCMYGCMYGCMYGCMYGCMYGCMYGCMYGCMYGCQYGCQYGCQZGSQaGiUcHCYfICkiIiwmJjApKTMsLDU0MDc5Mjo7Nj45OkI8PUU+P0c/QElAQUpBQktBQktBQkxBQkxBQkxBQkxBQkxBQkxBQkxBQkxBQkxCQkxCQ0xCQ0xCQ0xCQ0xCQ0xCQ0xCQ0xCQ0xCQ0xCQ0xCQ01CQ01DRE1DRE1ERU1GRk5HSE9JSlFKS1JMTVNOT1NRUlVTVFZVVldYWFlaWltdXV1eXl5fX19gYGBhYWFiYmNjY2NkZGRlZWVmZmZnZ2doaGhpaWlqampra2tsbGxtbW1ubm5vb29wcHBxcXFycnJzc3N0dHR1dXVydnpyd3x0eHx5eXp6ent7e3x8fH19fX59fn5+f39/f4CAgIGCgoKDg4OEhISFhYWGhoaHh4eIiIiJiYmKioqLi4uMjIyNjY2Ojo6Pj4+QkJCRkZGSkpKTk5OUlJSVlZWWlpaXl5eYmJiZmZmampqbm5ucnJydnZ2enp6fn5+goKChoaGioqKjo6OkpKSlpaWmpqanp6eoqKipqamsrK2vsLGxsrS0tLezuL68vb/BwcTDxMfFxsnGx8rHyMvHyMvHyMvHyMvHyMvHyMvHyMvHyMvHyMvHyMvHyMvHyMvHyMvHyMvHyMvHyMvHyMvHyMvHyMvHyMvIyczIycvIycvIycvIyczIyczIyczIyczIyczIyczIyczIyczIyczIyczJyszJys3Ky83LzM7Mzc/QzszMz9PM0NXP0tbU1NbX19nZ2dvc3d7f3+Dg4eLi4uPl5ebn5+jp6enr6+zs7O3t7e7w8PLy8vTz8/X09Pb29vj4+Pn6+vv8/f39/f7+/v7+/v7+/v79/v79/v79/v7+/v7+/v7+/v7+/v4yzTIImQBJPPtHsKBBgiSaDDx4kMQ/hQwNOvQHMeK/iRQXMpz4L2NEjh0rSuxY0ONIfwblifwXwB9Kg+xa9CkI0iC6ijVLkmuCkOQ7gk2C8kQ58R2AVv+gIO3o0qHRZy7+kYtKsOnTf1ZiYW3l0mUTAAuftfAHzsXLgjBe3NFnBdy/GGcJevO3zZW5FmK4uTT4om9VlHstMiUpuOvLgAAh+QQBCAD/ACyZAEwAEgATAKcLCxMNDRYQEBgRERsTEx0UFB8VFSAWFiIXFyIXFyMXFyMXFyMXFyMXFyMXFyMXFyMXFyMXFyMXFyMXFyMXFyMXFyMXFyMXFyMYGCQYGCMYGCMYGCMYGCMYGCMYGCMYGCMYGCMYGCMYGCMYGCMYGCQYGCQZGSQZGSQaGiQbGyUcHCUgICkjIywmJi8pKTEtLTUwMTk0NTw3OD86O0I8PUU+P0c/QElAQUpBQktBQktBQkxBQkxBQkxBQkxBQkxBQkxBQkxBQkxCQkxCQ0xCQ0xCQ0xCQ0xCQ0xCQ0xCQ0xCQ0xCQ0xCQ0xDRE1DRE1ERU1FRk1GR05HSE9JSU9LS1FNTVFPT1NQUVVTU1VVVVdXV1hZWVpcXFxdXV1eXl5fX19gYGBhYWFiYmJjY2NkZGRlZWVmZmZnZ2doaGhpaWlqampra2tsbGxtbW1ubm5vb29wcHBxcXFycnJzc3N0dHR1dXV2dnZ3d3d4eHh5eXl6enp7e3t8fHx9fX1+fn5/f3+AgICBgYGCgoKDg4OEhISFhYWGhoaHh4eIiIiJiYmJioyLi4uMjIyNjY2Ojo6Pj4+QkJCRkZGSkpKTk5OUlJSVlZWWlpaXl5eYmJiZmZmampqcnJydnZ2dnZ2enp6enp6fn5+goKCioqKjo6OkpKSlpaWmpqanp6eoqKipqamsrKyvr7CxsrOztLW2t7i6uru9vb+/wMLCwsXExMfFxsjGx8nGx8rHyMvHyMvHyMvHyMvHyMvHyMvHyMvHyMvHyMvHyMvHyMvHyMvHyMvHyMvHyMvHyMvHyMvIyczIycvIycvIycvIyczIyczIyczIyczIyczIyczIyczIyczIyczJyszJys3Ky83Ky87LzM7P0NLa2tzj4+Xr6+3x8fP29vf4+Pr7+/z9/f3+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v4yzTIIoABJOPtH8J8/fwUTFiSBZCDBgwgVLvzX8KHBiBJJEKwY8aDEfxo3OsPoUWFIkQlLTkxYsaBKkAr9tXyI8eRDcDMhEhwAUac3F30+CR0KMyXBbjkP2jRYkBuSlP5OfjOIpGrVixBDfgPQyp+Trh5Vatzq7IU/bmbDYvxA9h8VWf6otLpIlyIAh85c+NsGg+7LhDC2+QNAk+lHRSquaKNZMiAAIfkEAQcA/wAsjgBEABcAGwCnBQUIBwcLCQkOCwsQDQ0SDg4UDw8WEREYEhIZEhIaExMcFBQdFRUeFRUfFhYfFhYgFhYhFxchFxciFxciFxciFxcjFxcjFxcjGBgjGBgjGBgjGBgjGBgjGBgjGBgjGBgjGRkjGRkjGRkjGhojGhokGxskHBwkHR0lHh4mICAoIiIpJCQrJycvKSkxKyszLi41MTE4NDQ7Nzg+OjtCPj5FPj9GP0BHQEFJQEFKQUJKQUJLQkJLQkNMQkNMQkNMQkNNQkNNQkNNQkNNQ0NNQ0RNQ0RNQ0RNQ0RNQ0ROREVOREVPRUZPRUZQRkdQRkdRR0hRR0hSSElSSElSSUpTSUpTSktTSktUS0xUTE1VTU1VTk5WT09WUFFXUlJYVFRZVlZbWVlcXFxfXl5gYGBhYmJjZWVlZmZmZ2dnaGhoaWlpampqa2trbGxsbm5ucHBwcXFyc3N0dHR1dXV2dnd4d3d5eHh6eXl7eXp7enp8ent9e3t9e3x+fHx+fH1+fX1/fX5/e3+DeICHdoGLc4KPcIOTbYSYaoacYoinWoqxU4y6R4/JPpHUNZPeLpXmKpXrJ5buJZbvJJbwIpbxIpbyIpbyI5bxI5bxI5bxJJbwJpbwJ5bvKpftLZfrMZfoNZjmO5jiQZnfSJnaUZrVXJzOZp3JcZ/DfqG9hqO6jqW2mKOzoamvq6urrKysra2trq6ur6+vsLCwsbGxtLS0tra2uLi5urq7u7y9vb2+vr/AwMDBwcHDwsLEw8PFw8TGxMXGxcXHxcbIxsbIxsfJxsfJx8fKx8jKx8jKx8jLyMjLyMnLyMnLyMnLycrMycrMycrMysvNysvNy8zOzMzOzM3Pzc7Pzs/QzNDUzNHWzNLYztPY0tXY19fY2dra3Nzd39/f4eHi4ePk4OTn4OXo4OXq4Obr4Obr4efs4+jt5ent6Ovu6+3v7+/w8fHx8vLz9PT09vb29/f4+vr6+/z8/P7+/P7+/P7++/7++v7++f7++P7++P7+9/7+9v7+9/7++P7+Ms0yCNcA//0zN2oTpU2jzAlcyLDhP2yaKEmUqAmbw4vmIk6cqEnhRYajNooc9ZGhQZEcSy5EKVKlwJMsNbn8F5IlJZIuM7IsoKpePZcQRWpaAESZz5wFDybk8K/o0ZkMmdZz+hOqQKlNjVaFijXr05ldvW5VGVYs2H9j41F1aeCrQHYu/KhSRRatQ3RrP5Zd+A2I24ZY3aEFAmTh36ho3Q2QVQ8J47F6/ylW9qLet8qQL3JQLIjflV31rjx2CWSAslT8lLWotw2z1YVXttWDEQPGa4HiVsxYha1qQAAh+QQBGQD/ACyUAEwADwATAKcDDB8CDSACDSEDDSEDDSIDDSIDDSIDDSIDDSIEDiIGDyMIECIKECEMESIOEiIPEyMRFCMSFSMTFSMUFiMUFiMVFiMVFiQVFyQVFiQUFiQTFiURFiYQFicPFigNFyoMGCwLGS8LGzILHTULHzgLITwMJD8NJD8NJUAOJkEOJkEPJ0IPJ0IQKEIRKUMUKkMWLEQZLUQcLkQeMEUgMUUiMkUkM0UmM0QoNEQqNEQrN0YtOEcuOEcwOUcyOkc1PEg3PUg5Pkg7P0k9QEk+QUo/QUtAQktAQktBQkxBQ0xBQ0xCQ0xCQ0xCRExDRE1ERU1FRk1ISE5KS09NTVBMUVdMVl9KWmdIXnBGYXdEY30/Zoc7aY84bJc0bp0xcKMvcagtcqwrc68pdLIndbUmdrcldrkkdrojd70ieL8iecEhesIhesMge8Uge8YgfMcgfcggfckgfssgf8wggM4hgc8hgtEhg9MihdUihtciiNkjidwji94kjeElj+Qlkecmk+onle0nl/Anl/Anl/Eol/Aol/Aol/Aol+8pl+4plu4qluwrlusslektlegvleYylOM1lOA4lN08lNpBlNdHldNOlc5Vlspel8VkmMFqmL1xmbp4l7F+l6yFmamOm6iYnqKfn5+goKChoaGioqKjo6OkpKSlpaWmpqanp6eoqKipqamqqqqrq6usrKytra2urq6vr6+wsLCxsbGysrOzs7S0tLS1tbW2tra6uLe6uru8vLy9vr6/v8DAwMHBwsPDw8XExMbFxcfFxsjGx8nHx8rHyMrHyMvHyMvGyMvIyMvIycvIycvIyczIyczIys3Iy87IzNDHzdPGztbG0NnD0d3C0+G/1OW91uq71+241/G22PSz2fey2fix2fiw2Pmv2Pmv2Pmu2Pmu2Pmu2Pmt2Pqu2Pqu2Pqu2Pqv2Pqv2fq53frD4vvM5vvY6/ri7vjr8/vz9/v4+v37/P79/f7+/v7+/v7+/v7+/fn+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v4yzTIImQATqPlXaN2/gwgTJmChZpw/fwkjJvDnY9m/hxERXjioxCLGjBsvdrwIMWJIiCM/ajxYMmXJgycRulx5ESG8jg9LOsiZ0N2NTZ+C/ouZsB3Oh0SLKiF58h1HJUtJ+gv5jgEtf01mkVxZdRkOf+1YvrzwDsAyf1F8QdT6UYlZjBb8ScOxNeM/HNL84bCXyZ7df51sBIHG99bBgAAh+QQBBwD/ACxSAEAAaACCAKcAAAABAQECAgIDAwMEBAQFBQUGBgYHBwcICAgJCQkKCgoLCwsMDAwNDQ0ODg4PDw8QEBARERESEhITExMUFBQVFRUWFhYXFxcYGBgZGRkaGhobGxscHBwdHR0eHh4fHx8gICAhISEiIiIjIyMkJCQlJSUmJiYnJycoKCgpKSkqKiorKyssLCwtLS0uLi4vLy8wMDAxMTEyMjIzMzM0NDQ1NTU2NjY3Nzc4ODg5OTk6Ojo7Ozs8PDw9PT0+Pj4/Pz9AQEBBQUFCQkJDQ0NERERFRUVGRkZHR0dISEhJSUlKSkpLS0tMTExNTU1OTk5PT09QUFBRUVFVVU5ZWUtdXUhgYEVkZEJnZz9qajxsbDpvbzdxcTRzczJ1dTB3dy14eCt6eil7eyd8fCV9fSN+fiF/fx+AgB6BgR6BgR2BgRyCghyCgxyDhBuDhBuDhRuEiSKEjimEkjCGmjuHoUWIp06JrFaKsV2LtWOMuWiNvG2Ov3GOwXSPw3aPxXiQxnqQx3ySyX2Syn6Sy3+Sy4CQyoCNyICMyICLyICKx4CKx4GJx4GJx4GJx4GJx4GJx4GJx4GJx4GJx4GJx4GJx4GJx4GJx4GJx4KJx4KJx4SKx4WKx4iLyIuMyI+NyJOOyJiPyZ+RyaWXyqedy6eizKenzKerzaSx0J620pq81ZPA1o7G2IbL2n/Q23rT3HfW3nbZ4Hbc4XTi5HPp6nbw8Xv3+ID7/IX+/ob+/ob+/ob+/ob+/ob+/of+/of+/of+/of+/oj+/on+/on+/or+/ov+/oz+/pP+/pr+/qX+/rH+/rv+/sb+/tD+/tX+/tv+/uT+/u3+/vH+/vX+/vn+/vr+/vz+/v3+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7///8yzTII/gD/CRxIsKDBgwgTKjQojRmyY8WKHUO2LNrCixgzaty4UJqyYb5CigwZLJlFjihTqszorNhIX7V2vSTWbKXNmyuZgQy5alCkn4NWjQymDKfRowqd7aw1qNDPp4QG0RpZE6lVpNJchhxE6KlXQ4NGEoN2texNZSJXOfXqlZCqkcjMykUJaqcvn2zZhh35bK5fjKFG5h3cCpZhWKj+Kk5ISmStwXkLH261uHJBUyJ3QWYr2fAry6D/oRqJd/PekaEta+XZ1WsZPD/dvvSVuvKxl4MMuYaD59BpkcVqL0b2khbXp2V88Z760phwxctm+1KFN7nyWLOLPvcbLZh0mLTa/oiEg32ks+1/k30P6WYkeZFx0XMntr69e+zB+sr328y7dPv3LbOfYmj9N1stXQy4WDPEsOLgg2a8FIyACi4GTR4vAegLMvpVWNkzykDkixvFGKPMeR6mqOKKLLbo4oswxijjjDTWaOONOOao44489ujjj0AGKeSQRBZp5JFIJqnkkkw26eSTUEYp5ZRUVmnllVhmqeWWXHbp5ZdghinmmGSWaeaZaKap5ppstunmm3DGKeecdNZp55145qnnnnz26ec//gQq6KCEFmrooYgmquiijB5KUKOQRirppJQKKlClmGaqqaSAWmmpP54G2mmVn4ZqKamDmioqqqdSSaiqLaCyuqqrqcoaK62tTvmqrbD2yiurgG4q7LDEBkvsschymuyyzCJ6abPQNjtQQAAh+QQBCAD/ACyHAD0AGQAiAKcAAAABAQECAgIDAwMEBAQFBQUGBgYHBwcICAkJCQoKCgsLCwwLCw0MDA4NDQ4PDw8QEBARERESEhITExMUFBQVFRUWFhYXFxcYGBgZGBkaGhobGxscHBwdHR0eHh4fHx8gICAhISEiIiIjIyMkJCQlJSUmJiYnJycoKCgpKSkqKiorKyssLCwtLS0uLi4vLy8wMDAxMTEyMjIzMzM0NDQ1NTU2NjY3Nzc4ODg5OTk6Ojo7Ozs8PDw9PT0+Pj4/Pz9AQEBBQUFCQkJDQ0NERERFRUVGRkZHR0dISEhJSUlKSkpLS0tMTExNTU1OTk5PT09QUFBRUVFSUlJTU1NUVFRVVVVWVlZXV1dYWFhZWVlaWlpbW1tcXFxdXVpeXl5fX19gYGBhYWFiYmJjY2NkZGRlZWVmZmZnZ2doaGhpaWlqampra2tsbGxtbW1ubm5vb29wcHBycmt0dGZ2dmF4eF15eVl7e1V8fE98fEt8fUd9fUR9fUF9fT99fT19fTx9fTp9fTp9fzh9gDd+gDZ+gTd/gDiAgDqBgTuCgj2EhDqEhUKGhkWIiEmJiU2JiVGKilaLi1yMjGGOjmiPj26QkHaSkn2UlIaWlo+YmJiZmZmampqbm5ucnJydnZ2enp6fn5+goKChoaGioqKjo6OkpKSlpaWmpqanp6eoqKipqamqqqqrq6usrKytra2urq6vr6+wsLCxsbGysrKzs7O0tLS1tbW2tra3t7e4uLi5ubm6urq7u7u8vLy9vb2+vr6/v7/AwMDBwcLCwsLDw8PExMTFxcXGxsbHx8fIyMjJycnKysrLy8vNzc3Ozs/Pz9DQ0NHS0cjT0cDU0bnb2Kjh3pvm4pTq55Lv7ZLz8pP4+Jb5+ZL7+4/8/I39/Yz9/Yr9/Yr+/on+/oj+/oj+/oj+/of+/of+/of+/of+/of+/oj+/on+/or+/ov+/o3+/o/+/pH+/pT+/pv+/qP+/qv+/rX+/r79/sf8/s79/tv+/un9/vP+/vn6/v7+/v7+/v4yzTII/gD/CRz4bx8+evLgwZM3794+ghAJ7rPHDp3FixbV1XsYcWA+eBhDXnSHr+M/fBVFqlRnL2K+lBdNYiw5cB/ImCYHWmynb6A9jDkhWqQncB/MoB3R5ftnrZpFpElbNkUH1aQ8pk6rdoTnr6lWk72oVQsaSFLQXl3G5gxEyGxHar0GqTUZCF3bjvL83aO61uJdiPX87VNH9uJfj/7+1Sv8z2KiufP8Jd7nrq9Ax2PV5ZP8zx8+wh0T8W2M7vE9yYk7tww9ujG5P8k4C5SMr11E0QTV3dM3JDZByfqIEsQtcN5mf/l6Q0Sdz17Cf4neyat3HPWzIREle9q+/QHqfZJVY4j/p6KjP0+o/WWQvI8BLX9EZnWWnR31+vbJWPx7pn8+1Az4/cOEMALOghpUQzCQTGfJoLCfC191Np8/TDzjzwwR5tMJP4lFk4EYzaRWlYb8CHTPhvRFKFAnJ5ao4kAsbihQQAAh+QQBCAD/ACyHAD0AGwAfAKcAAAABAQECAgIDAwMEBAQFBQUGBgYHBwcICAgJCQkKCgoLCwsMDAwNDQ0ODg4PDw8QEBARERESEhITExMUFBQVFRUWFhYXFxcYGBgZGRkaGhobGxscHBwdHR0eHh4fHx8gICAhISEiIiIjIyMkJCUmJicnJykoKCopKSwpKS0qKi4rKy8sLDAsLDAtLTEuLjEvLzIwMDIxMTMyMjMzMzQ1NTU2NjY3Nzc4ODg5OTk6Ojo7Ozs8PDw9PT0+Pj4/Pz9AQEBBQUFCQkJDQ0NERERFRUVGRkZHR0dISEhJSUlKSkpLS0tMTExNTU1OTk5PT09QUFBRUVFSUlJTU1NUVFRVVVVWVlZXV1dYWFhZWVlaWlpbW1tcXFxdXV1eXl5fX19gYGBhYWFlZV5qalxubllyclJ1dkx4eUh7e0R8fj9+fzuAgT+DhUKGikaJjkmKkUmMlEmNlkmOmEmPmkmPnEqPnkuQn0yQoU2Vo0+ZpVGVqFaPrFuOsGCNs2SMtmiMuGyLu3CMvnSLwXiLw3uLxX6LxoGLxoGLxYKLxIOLwoSMv4WMvoaNvIeOuomPuIqRtYySso6Tr5CVrJKXqZSYp5aYppaZpZeapJiao5mbopqboZqcoZucoJucoJydn5ydn52dn52dn52dnp2enp6enp6enp6enp6fn5+fn5+fn5+goKCgoKChoaGkpKWoqKmsrKyvr7C0tLW4uLm7vL2+vsDBwcLDw8XExcbCxsvHyMnIycvJyszKy83LzM7Mzc/Nzc/OztDPz8/Q0M7R0c3T08zT08rT08jU1MbU1MTU1MHV1b7V1bvV1bjW1rTY2K/Z2avb26Ld3Zrf35Hh4Yvk5Ifn54Xs7ITy8oT29oL394P5+YP7+4T8/IX8/IX9/Yb9/Yb+/ob+/ob+/ob+/ob+/of+/of+/or+/o3+/pL+/pn+/p/+/qX+/qn+/q7+/rL+/rr+/sH+/sf+/s3+/tf+/t7+/ub9/er8/O/8/PP8/Pb8/Pj9/fr9/fv9/fz+/vsyzTII/gD/CRz4z59Bf/PcrUuXTl07efkIShx40B88cxLLaTT3LuJEgQfrofsoUGO5c/Q+HpyHkWTJjfIkhmzpcqDJlCAPjqxJ0OQ5fDkt8pxo0l3BgzSH2tR4Lw8uhEqJaozn1J/RqD01rqu6DmvWcuiqpvNKcJrZqjsnFir0T42fj2anAXiqjuTaQmrcSowr92k7u2vVlNO7tJy6gzE/3hVcDg61wvAO5ks6cLHJOY//max31N87xYE1l/uH2SS7oPnOqQ0tmjS1cubsUTRIj/I1bf/YFMaceLa/eBkF6n5ZrpsZXRMP0lNdUjhxc/LwDUEu0yC+q6Nziy7Hzp5Be9NVYhq8F28dunJs0KmDx/noP2JDhpKa/8CfwHwGBarYP9T+PwwG5bNALP8QQWBU9vkDoIDUEdMCVgdhwKBAtvzDxIH9GTTEAgX9o0sK771A1mwWEvMPDSMKJI8o/diTQhjACBQQACH5BAEIAP8ALIoAPAB8ACAApwEBBAICBgMDBwQECAUFCQUFCgYGCwcHCwcHDAkJDgoKEAwMEQ4OFBAQFhISGRQUGxYWHRgYHxoaIRsbIhwcJB0dJR4eJyAgKCEhKiIiKyQkLSUlLiUlLyYmMCYmMCYmMScnMScnMicnMicnMicnMycnMycnMycnMygoMygoMygoMygoMygoMygoMygoMygoMygoMykpMykpMyoqNCoqNCsrNCsrNSwsNS0tNS4uNi8vNjAwNzIyODMzOTU1Ojc3Ozg4PDs7Pj09Pz8/QUJCQ0VFRUZGRkdHR0hISElJSUpKSktLS0xMTE1NTU5OTlJSS1dXS1tbSl5eSWFhR2RkRGdnQGpqO21tNXBwM3JyMHR0LnZ2K3h4KXp6J3t7JH19In5+IH9/H4CAHYGBG4KCGoKCGIODF4ODFoODFYKDFIKDE4KDE4eIF4yNG5GSIJeXJZ2eK6GiL6WmM6mqN62wPrG1RbS6Sre+T7rCU7zFV77IWsDKXMHMX8LOYMPPYsbTZsjVaMLVbLvUcLfTcrDRdavRd6fQeaTQe6DPfZ3OfpvOf5nNf5fMgJXLgJPLgJHKgY/JgY7IgYzHgYvHgovGgorFg4jEhIfChYTAh4G+in26jXi3kXGylWismmCmn1WgpUqZqz6QrzOJsiqCtSeAtSZ/tSV+tSV/tSaAtiiCtiyEtzGIuDeMuTmNuT2OuEKPuEeRt0ySt1KUtlmWtmCYtWibtXGetXuhtYaltZKqtp6vt6y0uLy8vMDAwMLCw8TExcbGxsfHyMnJycrKysrO0crS18zX3c3b4c7d5dDh6dPk7Nfn79zr8uTw9ez0+PP4+vn7/P39/f7+/v7+/v7+/v7+/v7+/v7+/v7+/f7+/P7+/P7++v7++P7+9v7+9f7+9P7+8v7+7v7+6/7+6P7+5v7+4/7+4f7+3P7+2P7+1P7+z/7+yf7+xP7+v/7+uf7+tv7+sf7+q/7+pf7+nv7+l/7+k/7+kP7+jf7+i/7+if7+if7+iP7+h/7+h/7+iDLNMgj+AP8JHEiQWzp48ujRmxdPXTeCECNKnEixosWLGDNevMaNHb5+IEOC1OfuocaTKFOqXPnv2jVy9SSK7HfvHMubOHNqdJkOX0WR+tbpHEpUp0tyPi3OtFm0qVOMLrnFzBjyHrinWLMOdHmN3cCQ//iJjSjyndazTqP6FAko0aS3igBBFBkOrd2cXNOJ5HcI0r+3byEh4kcwpNe7iFVyhSey70DAkyQlKgxSXuLLFsmpAZCqpUt5IQH5JQgZklyBIadiXg2Rn6xreJRxpRdyckTIjL6CZc1b4NFDzbjWA0lYoppLgE//A8S8t3N2nD1fm0cc4tt/ar4gn6ScuXLnrK/+ueYarzrpt2r6aecu0Pt38InxvJbPVV1IRecnqRH4JZLufu3At5pmAJjiDFfd6AOSaI+h149AbpwW0jgCOsfVNe6EhIgkAgGW3oP/wCEXSPFUCB6C9xCXiF8e/gOSQCL2o484JlrI1TkKLshIiy4+2I+I6tR4IldCgSUWP2v8x48Wwgg5pEvn3POVQEmiJqM6zhDRpJO9XQiOWS5SaWU84lzzDzNactnlheGwI09Ma9QzTzsUcvVPMkSoaeOFLkVg5j/PCJQnEYTqWaEuiDZg5jMI7HKNDVcYWuOffj6zgDA33JmppBWaeU0ElgpzDRO+/MPELpwKyBURl5opDAsh/xiTQ6rw2elZS0wY808PtArp0j/LsDAFMb1OamuxZwUEACH5BAEIAP8ALI0ABgBoAlUApwQEDQUFDgUFDgUFDwYGDwYGEAYGEAcHEAcHEAcHEQcHEQgIEQgIEQgIEQkJEgkJEgoKEgsLEgsLEwwMEw0NFA4OFBAQFRERFhMTGBUVGRYWGhgYGxoaHBwcHh0dHh4eHyAgICEhISIiIiMjIyQkJCUlJSYmJicnJygoKCkpKSoqKisrKywsLC0tLS4uLi8vLzAwMDExMTIyMjMzMzQ0NDU1NTY2Njc3Nzg4ODk5OTo6Ojs7Ozw8PD09PT4+Pj8/P0BAQEJCQkREREZGRkhISEpKSktLS01NTU9PT1BQUFFRUVJSUlNTU1NTU1RUVFRUVFRUVFVVVVVVVVVVVVVVVVVVVVZWVlZWVlZWVlZWVlZWVldXV1hYVFpaUlxcT15eTGBhSWJjRmVmQ2dpP2ptO2xvOW5wOG9yNnBzNXF0NHN2M3R3M3V4MXZ7L3d9L3h/L3iBMHmCMXqENHqHOHuJOnyLPXyOP36WSICdUIOlWYWtYYizZ4q4bIy9cY7BdZHEeZPIfZTKf5XLgJbMgZbNgZbNgZfOgZjOgZnOgZnOgZnPgZnOgZnOgZjOgZbNgZPLgZHKgZDJgY/JgY7IgY3IgYzHgYzGgYvFgozEg43BhI29ho+4ipG0jZSwkJaslJirlpqqmJ2om5+nnqKloaSkpKWlpaampqenp6ioqKmpqaqqqqurq6ysrK2tra6urq+vr7CwsLGxsbKysrOzs7S0tLW1tba2tri4uLm5uru7vLy8vb29v76+wL+/wb+/wsDAw8PDxcXFyMfHysnJzMvLzc7O0NDQ0tPT1dfX2d3d3uLi4+fn5+3t7fHx8fT09Pf39/r6+vz8/P39/f7+/v7+/v7+/v7+/v7+/v7+/f7++/7++f7+9/7+8/7+7f7+5f7+3/7+2/792v792f792P791f790f78zP78yP78w/77v/77uf77tv76s/76r/76qf76of77lv79jv7+iv7+if7+iP7+iP7+iP39h/z8hvv6hPj4gvb2f/Lye/T0ffT0fTLNMgj+AP8JHEiwoMGDCBMqXMiwocOHECNKnEixosWLGDNq3Mixo8ePIEOKlIil5MiTKFOqXMmypcuXMGPKnPmxpEmaOHPq3Mmzp8+fQINGtIlFqNGjSJMqXcq06UmiTqNKnUq1qtWrIKFi3cq1q9evYHXaDEu2rNmzaNOqXcu2rdu3cOPKnUu3rt27ePPq3cu3r9+/gAMLHky4sOHDiBMrXsy4sePHkCNLnky5suXLmDNr3sy5s+fPoEOLHk26tOnTqFOrXs26tevXsGPLnk27tu3buHPr3s27t+/fwIMLH068uPHjyJMrX868ufPn0KNLn069uvXr2LNr3869u/fv4MP+ix9Pvrz58+jTq1/Pvr379/Djy59Pv779+/jz69/Pv7///wAGKOCABBZo4IEIJqjgggw26OCDtE0joTbksPMOPPC8004520DoYVkSTqMNOvIUZM+J86jT4YcsbhWiN/AkdKI98XzT4o1UhUhOiQrNOM85OAbJ1Is8MjQjOEImaVSI2sTo0IzxcKPklD6FiA5BM96Dzz0HzbgOlWDmxCSPM/KjSCVoKsKPQTN2E+abMen4z4z4KEKJQGhWIoki+mB54pVwBspSiOzMeaIikhCUJyWK+GnPO2sBoIyg64X4Tpl3FpSnJGsKNKOTZp1Dyj8SUqpeiPDM2OhBeRriKFr+7gAAwBTTmJoeqvbw0+lAaP7zxh557qrrrmXlQ8o0eZhiK3qW5krsP3m+UQewlXQ67LPLZptRiO04qymab9gzbbUCXcuWMNqWF2I5qioKrj3/1MHHQDMCmtax6ZIX4jbznMhPoni+C68dnc7oTb4IXxSiOqpmGq2h/9zBz4zuJGwxRfvGc6I+iEILrqfwSmzPPG5ebDJEIX7Tr7+GPAyyPRKXc/LMD4UIpKH25KNPPnLQeyI+agxD89AMhQhOPPQK1DPO85TTjBBCEy31QSFy8+WcSuPsTjcSLgP11GAXFGI36FxojxzxvIPOwaTWqowQYcdtUK3/bEC3M6X+I8RO3nL3LZAogFsgoTMJ0DLNCmX4rTippNrtjARRK8PC4n6HuMHjUQPzzxGzUC53iEJIwPgwKPyDjAueU17qEcj8M0Pqi4e4DApgFAM7wgEBACH5BAEIAP8ALJAAPAB2AB8ApwAAAAEBAQICAgMDAwQEBAUFBQYGBgcHBwgICAkJCQoKCgsLCwwMDA0NDQ4ODg8PDxAQEBERERISEhMTExQUFBUVFRYWFhcXGBgYGRkZGhkZGhsbGxwcHB0dHR4eHh8fHyAgICEhISIiIiMjIyQkJSUlJiYmKCcnKSgoKigoKykpKyoqLCsrLS0tLS4uLi8vLzAwMDExMTIyMjMzMzQ0NDU1NTY3Nzg4OTk6Ozs7PTw8Pz09QD4+Qj8/Qz9AREBARUFBRkFCRkJCR0JDR0NDSENESERESUVFSUVGSkZGSkdHS0hIS0lJTEpKTUxMTk1NT09PUFFRUVJSUlNTU1RUVFVVVVZWVldXV1hYWFtbVF5eUWBhTmRlSWdoRmlrQ2xuPm5wOnByN3J1M3R4L3V6LHd8Knh9J3l/JXyBIn+DH4GEHoOEHoWEHoeFHoqFH4+GIZOIJJmKJ56MK6WOL62RNLOTN7qVOsGYPsiaQsqcRMyfSM6hS8+jTtClUNCmUtCnU9CoVdCpVs+qWM6rWc2sW8yuXcqvXsixYMW0Yr63Zrm6abS8bLC+bqu/cafAc6LBdp3DeZnFe5bGfZPHfpDIgI3JgY3JgY3JgY/KgZDKgZDKgZPLgZXMgZbNgZjOgpXMhpHJjI3HkofDm4TBoIG+pn68q3u6r3i4tHa2uXS0vXOywXKxxHGvyG+uy2+szm6r0W6r026q1G6q1m+q12+q13Cq13Gr13Or13Ss13et1nmt1nyu1X+v1IOw04ey04yz0pW20Jy5z6S7zqu+zbHAzLfCy73Ey8LGysjIycnJysvMy8/PzNTUz9nZ0t7e1eTk2+vr4fHx5vT06fb27fj47/r68vv79fz89/39+f7++/7+/P7+/f7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/f7++/7+9P7+6v7+2/7+0f7+xP7+s/7+qP7+n/7+lv7+jP7+iP7+h/7+h/39h/v8hvn3hPf1g/X0guzyf+Xtet/od9vkc9nkdNnkddjldzLNMgj+AP8JHPiPG7ds6da1c+eu3bp05ghKnEixosWLGDNq3CjRYDZ17ybKkwdvXUSOKFOqXMnR4Dl3F0e+Q8eyps2bGg2mC4lxJDx1OIMKtemSp8aRNIcqXXrRI0yOMk8ynTrVIFCCI+XFozeP4sh1VMMq9Wg0qz9PltJ68idS3jmxcG/qFJiVnqdKAtNawuSpHlZ5V+MKTmkQ7L+snjAR1GvJ0992gyNf9APgHwBZBiGbxStRLya2dOU9lUyaoMF/hwxyg4m4ol7HA0eWni3QYD3MBvnt272vs6Uzlv7p5TdwN+3ZBlOr9seb+OLfaBg73+38OGl2rVRzY87b9xl50dP2Tt/Xzzppbre1pzs8Enbe3yOjd4oN2Lxkbn58cSvIzRw8s4q9dwZ7aSxC31v20VYYe/KgJWBocfQ2EjsJHmeQOe9kVU9iwv1Gnxz7kIRghchxgw48DJ6V1oAf7rMeiRZyE1hd9azxFz1iJAOjdQahY9Rh/7BBHzzpREOEjjsq2J9hQArJHjvnGATNkUnGeI46C8nDRkPqjGjQM0RUmeB+GBT0jzSnCUREmGKaN8ooDxgkzQHEcMPCF21WSCY30iyQTAvcPNNCnmNyg0GfyXDjxDGKEkOoeQYR4adByaTATTMuPAqjQU40888MmpL4ZQpbLBMqVQEBACH5BAEHAP8ALJIAPAB0AB8Apx4AAB4AABwBARkCAhQDAw4EBAYGBgcHBwgICAkJCQoKCgsLCwwMDA0NDQ4ODg8PDxAQEBERERISEhMTExQUFBUVFRYWFhcXFxgYGBkZGRoaGhsbGxwcHB0dHR4eHh8fHyAgICEhISIiIiMjIyQkJCUlJSYmJicnKCgoKSkpKSoqKisrKywsLC0tLS4uLi8vLzAwMDExMjIyMzMzNDQ0NTU1NTY2Njc3Nzg4ODk5OTo6Ojs7Ozw8PD09PT4+Pj8/P0BAQEFBQUJCQkNDQ0REREVFRUZGRkdHR0hISElJSUpKSktLS0xMTE1NTU5OTk9PT1BQUFFRUVJSUlNTU1RUVFVVVVZWVldXV1hYWFlZWVpaWltbW1xcXF1dXV5eXl9fX2BgYGFhYWJiYmNjY2RkZGVlZWZmZmdnZ2hoaG1oYnJpWXdqUHxsRX9uO4FvNINwLYRxKIVxI4VyH4V0HIR0GYR1GIN2FoN2FYN3FYN3FIN4FIN5FIN6FIR6FIR6FIV6FIZ6Fot7GpF9H5l+JJ6AKKOBLaeEMauHNq2JOq+MP7OXSraiVLerW7mzY7u7aLvAbbnCcbDDdaXCd5nCeZDCe43DfIrFforFfovGgIvHgYzHgY3IgY7Igo/IgpHJgpHJgpPKgpTKg5bLg5fIhZjFh5jCipnAjJq+jZu8j526kZ65k5+3laC2l6K1mKO1mqSznae0oKi0oamzo6u0pay0qK60q7C1rrO1sra2trC3vKm4w6K4ypi505K41oy32oe33IO234C24X224nu15Hm15Xi25ne26He26Xm36Hy46IG554e75Y295JS/4pvB4aPD36vG3bTJ273L2b/M2MHM1sPM1MTM08jO1czS2NHV29fb393f4+Hj5uXn6evs7vDx8vX29vr6+vz8/P39/f7+/v7+/v7+/v7+/v7+/f7++/7++f7+9/7+8/7+7/7+7P7+5f7+3P7+0f7+wv7+svz9pvz9nvz9lP39jP39ivz9iPj7h/X6h/L4hfD3he72hDLNMgj+AP8JHPivnEF18ebRs2ev3rx46whKnEixosWLGDNq3CjQYDl18vBJzEcS37yIHFOqXMkyo8d39iySzHcPXsubOHNe9BhP5MWZ+OLpHEqU5UufGWfaLMq0KUWP6mJunHmPndOrTj3KG0lSXz6KM+dhHTsUKlKS/kT9y5RJlL+JM9uRnduSp8CuojYNZMtJFD+CM7fSHczRo9h/JEVxksh2k9qBM+kRnkzx3Z1/VTyWk4xW70S+b++SlEq5NGJi/wot8xgzsUW2j0V/NV2aHrFyip7l2v2o9yPGmf7xqbQ202+BvmmbXmTA2L/duSAlJ8g2Ex84ldge931cOeFFxsr+gYcuvTdw6/mwG0feG5L3yYtW5wtvUKjrvWz5kIRDCTJJwe/RJU8ABhig2Tr4oLWYQNXp95Ugoc30ToC0GYZYPnkxmN+F/xDiT1gUVmjQOveQxI9ixVknWocf4uNOiCKWA49IaInSoH/5eCgUjDECSNI+/ezzB475tGENj8p5BM89kAk05IX5BPXNEEciaZpH7Bw225BhuWNQN1RaGWM78iyUzx8NyTNhQeX8w80QYgbY5j8YzAmOQQINoWec773i5wMGgXNALuWsgAafFLZZTp3gLFAlNywgKqdBGDRaZTX/MHGLpN55NMQCBf1jDQr/ZOMCpzDiyUQ2/8yAaogKHnWDghjXvOpUQAAh+QQBCgD/ACyVADwAcQAfAKcICBEICBIJCRMJCRMJCRQKChQKChUKChUKChUKChYKChYLCxYLCxYLCxYLCxYLCxYLCxYMDBYMDBYMDBcNDRcNDRcODhcODhcPDxgQEBgRERgRERkTExkUFBoVFRsYGB0aGiAdHSIfHyQhISYjIyclJSkmJionJysoKCwoKCwpKS0qKi4qKi4rKy4tLTAvLzMyMjU0NDc2Nzk4ODs5OT06Oz87PEA8PUI9PkM+PkQ+P0U/QEY/QEdAQUdAQUhBQUhBQklBQklCQkpCQ0pCQ0pCQ0pDREtDREtEREtERUtERUxFRkxGRkxGR01HSE1ISU5JSk5KS09MTFBNTVFPT1JQUVNSUlRUVFZWV1dZWVlaWlpjX1puaFd3blV+c1CGdlWNeVeWfFudgFujg1qph1qvilq0jVq5j1m+klnClFjHmlnLoFrPplvSq1zVsF3Xs17Yt1/ZvGDawmLaxmTayWXay2bazWfaz2fZ0GjXz2jVz2nTzmnQzmrNz2zJzGvGzGvDy2u/y2q9y2u7y2u6y2u4y2y2y2y0y22zym2xym6vym+sym+pyXCnyXGjyHOfyHSbyHeYyHmVyHuTyHyRyH2Px36Ox3+Nx4CMxoGLxoGIxIOEwoWAv4h6uoxytZJrsJdiqZ1XoaVUnqhRnKtPma5Ol7FMlrNMlbVMlLdNlLlOlLlQlblSlrlVl7pZmLpdmrpjnLppnrl0obl/pbmJqLmSq7mdrrmmsbmutLm3t7m4uLq5uru7u7y8vL29vb6/v7/AwMDBwcHCwsLDw8PExMTFxcXGxsbHx8jIyMnJycnKysvMzMzMzM3Nzc7Ozs/Pz9DQ0NDR0dHS0tLT09PU1NTV1dXZ2dnc3Nzf39/i4uLm5ufr6+vu7u/x8fH09PT29vb4+Pj7+/r8/Pv9/fv9/fv9/fv+/vr+/vb+/vL+/uz+/uX+/tz+/tP+/sv+/sP+/rr+/rH+/qf+/p/+/pz+/pj+/pT+/pH+/o3+/ov+/on+/of+/of+/of+/of+/ocyzTII/gD/CRz4z5w5dvDk/asnDx67cwQjSpxIsaLFixgzaixozh2+if7yvYO4saTJkygvmlNX76K/e+tSypxJs+LBjxhDtqvJs+fJlTg1+ovps6hRiQZblnyJ7qhTox0l+vOnrypFf/Ceaq1pMOi/qX0g/cuUCVIfkOm2qkV5cOBUfY4uDSR76ZG+iP7crd270VxWgVPjRiSLSSxBfwr5KqaYymBisHIl0v1zWOniy2xY/WNTUOlUwxPJSsJ7uTQbWv/0sfKF59+d15K9bBJIVg/BO6UxszKX2Zft13liyx6bac/AO61zK1Y3BsCoWb7OvsY92Is/2bWP21bOV/VmWm2/5foDTdvLV9mj3erlvpf5v8bmzuUT3ydyecBeDh1Wxz63uXeA+fMIJnOZB5gYyfkTT3/+nXOPePpAElkmBh6IR0hpMViaOevMJ94fo1GIF4LsaKicOTu5RZU+X+CljxfJmHjiOg8e1qJb+bDTDRExyrghOn8BduNX8aRlzjY8+uhfOu7IU48/X9gjjzv8DWRONkQo2Z85HwhkjjcFEZSlltzZgkFB3gSAizktcEEmg1x+6UAyLlzpwptbfuDNnOZIIUyfuODJnTlEzFlQMimYU80LgprYZzXmxNCohuZok8IWzkx6VEAAIfkEAREA/wAslgA8AHMAHwCnAAAlAAAmAQEmAQElAgIkAwMjAwMhBAQfBQUdBgYaCAgXCQkUCwsQDQ0NDg4ODw8PEBAQEREREhISExMTFBQUFRUVFhYWFxcXGBgYGRkZGhoaGxsbHBwcHR0dHh4eHx8fICAgISEhIiIiIyMjJCQkJSUlJiYmJycnKCgoKSkpKioqKysrLCwsLS0tLi4uLy8vMDAwMTExMjIyMzMzNDQ0NTU1NjY2Nzc3ODg4OTk5Ojo6Ozs7PDw8PT09Pj4+Pz8/QEBAQUFBQkJCQ0NDRERERUVFRkZGR0dHSEhISUlJSkpKS0tLTExMTU1NTk5OT09PUFBQU1NTWFlTXF5UX2JUYmVUZGhUZmpUaGxTaW5TanBSa3FRbHJPcHRNc3ZLdnhJeXpGfHxDf346hHw7jHo5k3o2l3o0m3oznngzoXY0pHQ1pnQ3p3Q5qXY8q3hArXpGr3pNsoFUsoVbsYdcsIpero1grZFiqJdko51nnqVrnKttmrBvmLRxlrhzlbt1lL93lMJ5k8Z8k8l+lcuAls2Bls2Bl82BlcyBlMyBk8uBkcqBkMqBj8mBjsmBjcmBjciBjMiBjMiBjMeBi8eBi8eBi8aBi8aBi8WCi8SCi8ODi8KDjMCEjb+HkbqLlLaQl7KVm6+Zna6cnqWgoKKkpKSoqqutrK2vra2wrq6xrq+yr6+yr7CzsLCzsLG0sbK1s7S0tbW0uLi2urq3vLy3vb64v7+4wsKzxMSuyMisy8uqzs6n0dKi1NSj1dea19qS2NyJ2t6A3OB53+J65OV86ut+8fGA9faA9/iC+fmD+vuF+/yG/f2H/v6H/v6H/v6H/v6I/v6I/v6J/v6L/v6N/v6Q/f2U/f2Z/f2e/f2h/f2l/f2p/v6q/v6r/v6t/v6u/v6w/v6x/v60/v63/v65/v67/v69/v3A/vzI/vzR/v7Z/v7i/v7o/v7t/v7w/v70/v74/v77/f38+/38+fz89fr77/n87fn86vn95/j94/X74fT74PX84Pb+4fb+4/b+Ms0yCP4A/wkc+A8evHfpwGGrVg2bN3TvCEqcSLGixYsYM2rcKNDgO3PSJjJjFo1cRI4oU6pcmdHgumoXR05Lx7KmzZsXDaYLiXFktHM4gwpd6ZKnxpE0hypdStEjTI4y3TGdytSgOZHNki2rODIc1a9BPRr9xwyYIYGTDAGjOJId2LcsdQ5klsyQI4KTGhlCJnEkULiAORoEN9dQo4mTIJ0lOBJb4McE4/CDhwwAgEkF4TkmC+wuxbxr5zJ7ChnwOjUB+K2Dwy9bFHwGnzJbXDFtX2alA5/jJ/ncKHzr6vCjRSvYv2DGJU6aJKYP2uQCked+3Pt38OHFj0MfuFxM83+ToP4j3z4dbHXgwomvla6cObPm4QeOLw9Y8urWrw2iEzi7vZiRYvjBGDNX0feWZJQBkFpm70TD2WHcMUcWM2QII9o6BpZnEDn8GQJJhGLwx8wZFo7ETYYaHjQNWcgYhpaEIpJIklsoTqeTg5yd1d2AJO5XY4p/8ZfMMcmMMaAyXuDyI306rTjXP0aKGA069Qyh5JI2wuOOV/xBKSI37BiUj5VYpsjOOQsxMwY115iDYUfw6DNEmSjC8w8GBf1Dj0EDDTEnnQaKIsoDBtGzwCvwrKAFoDXaiQE89CiACwtxssBonfBgECku8DBhS6euXGqgQUNIahAuKMDDiwuiLmkQEw+8/DNDqz+KiQIVutA6VUAAIfkEARYA/wAsmAA8AHEAHwCnAAAAAQEBAgICAwMDBAQEBQUGBgYHBwcIBwcJCAgJCgoKCwsLDAwMDQ0NDg4ODw8PEBAQEREREhISExMTFBQUFRUVFhYWFxcXGBgYGRkZGhoaGxsbHBwcHR0dHh4eHx8fICAgISEhIiIiIyMjJCQkJSUlJiYmJycnKCgoKSkpKioqKysrLCwsLS0tLi4uLy8vMDAwMTExMjIyMzMzNDQ0NTU1NjY2Nzc3ODg4OTk5Ojo6Ozs8PD0+Pj4/Pj9BP0BCQEFDQUFEQkJFQkNGQ0NGRERHRUVJRkZKR0hLSEhMSUlNSktOS0xPTE1PTU1QTk5QT09RUFBSUVFSU1NTVFRUVVVVVlZWV1hYWVtgWV5nWmFsWmNxWmZ5WWmBWG6MWHCRWXGTW3KQXnOKY3R6Z3ZsbHdccHlUc3pLdnxAeX03en40e38zfYIxf4Qwf4c3gIs/go1ChJJGhZdKh5pJh5xNh59OiKJQiKRSiKdVialYiaxbia9fibFjibRnibltibxyicB4icR9icaBicaBiseBiseBiseBi8iBi8iBi8iBi8iBi8iBi8eBi8eBiseBisaBisWBicWBicOCicOCisKCisGDi8CEi76FjL2GjbuHjrmIj7eKk7SPl7KVm6+anq+eoK6ho62lpa2oqK2rqqyurKywra2xrq+zr7C0sLG1sbG2srK3srO4s7O4s7S5tLS5tLW5tra7t7i8ubm9uru+u7zAvL3Cvb7Fvr/Iv8DKwMHMwcLPwsLRwsPUw8TYxMXbxMXexcXgxcXjxcXlxcboxcbpwcbrvMftwsfrx8jqyMjqyMnqycrpycroy8vozM3ozs/o0NHo09Po1dbo2tvp39/q5+fu7u7y8/P19/f4+vr7/Pz8/f39/v7+/v7+/v7+/v7+/v7+/v79/v78/v77/v76/v75/v74/v71/v7v/v7m/v7Y/v7O/v6//v62/v6t/vyj/v6b/v6R/v6L+/uH+PiD9fWA8fF87u545+l06+t06+t07Ox07e127+94Ms0yCP4A/wkc+M+bN3Pr3MGTJw/eO3boCEqcSLGixYsYM2rcaNBcu3kT54l0F3GjyZMoU5o0qE7eRZHz1qmcSbNmRoPrQGKEyc6mz58zWerUKFIm0KNIK3Z0aRJmyaRQkRpsJxEmPXoVR0bd+rPjUJH5Ev0jRChRPooi03FdG9SbUZH0EokVSFZuvarzqLLdu9KbO4Ei5Uoki2juQJHw+ComeOdYQXhgvBX0lhisYYJ1zx6ex3TxXm9tABzzVg9AZIPeXAa2WBevZ77tkjX2pguyQVu28unWjJnQmj5jCfH+p/u14tmUT+PePZyu7zZ9yPLebZwvctvellMf7HsedOEDt+pXX3v9tMGeq3uvEQmdoEi947k2fhx5MjqYYdX/Y89bpLr41Rn0V2CIDETWGoDNM8dZIr0DYIDe3CdSPYIFh2CCC6b1IIQ57TdPfge6p2A+PW0IYYke1qNiGyLSk4YuJo6H01D7/cNigvOwc80QMMZonEHo/AWYjQm+k45B1vDoI4TptLOQd/LE085/AhlUzRBLPigZBgX9g41BAw2BZZbxffLJAwZhg4Ar3qwwBpkbbukNNgvowoI31bAAp5beYECnLt4wASgTrOwZn0FD1GmQLih4M40LhsZoEBPT/DNDpCYiiYIW0GAKVUAAIfkEARcA/wAsUQGNACABLQGn/gIB/gIA/gIA/QIB/AQB+gcC9AgD6wgE3wYFywYGoAkKcQkLSggLKAYJGwcKEAcKBwYJBQUGBAQJBQUMCAgODAwODg4QEBASEhITExQUFRUVGBgYGhsaHR0dHx8fIiIiJSUmKiorMS40ODM6PDRAQDZERjZKRi5XRSVlRSJ4RR+LSR+eSiS3RR7EPxnLOhbQNBPXLRTfJRbnIBfsGRjvFxbzFRX4HBz7IiL8Li78NjT8PDn7QD34RT72S0H1UEXzVkz0YVXuY1zzZ2Tzb3X0dH/zcIPuZYjiXZPYWJXSR5TJQJXFNZvDIarBGa69FqyxEaSTC5tpB5BCBIMYA34GBHwGB3wHCn8LEYYRGYkZIYshKI0oLI0sLowuN4A3QHhAS25LVGhUXGlaZGxibXNqdHlxd4J1eY55eJ54d6p3d7B3erB5hK2BkaiLmaaRo6aWqaaWr6SPu599yppp05NU141I2YpC4IU15IMz6X8483lQ+nVg/XNu/XBv/G1u+mls/Wlq/WVm/V1d/FRU+0xM/kND/j09/Ts2/TIz/Swt/Sgq/CUo+yMn+CQq8CIw5SE61SJKviFhtCBqrR50px5/pRqMphaTqxCfsQyotwiyvAW6vga9wAjAwg/CxBvExiHGxSXGwCjFwy7FwjfEwT3EwULDwkbBx1HFzVfJ0V3O02PQ0GfOym/HxHnDyHzGy4DN1IPX1Yjc1I/h3Zrm4pzm4p7n4Kbn4K3o3Lrp3MLt1MjzycXzyMnkycrRxsfHw8bExMnCxs++xcq7zMa3zr+v1Lun17ef2rOX362P5KqO76OT+ZuW+qKf/rGx/ru6/sTE/srK/svL/s7O/dHR/NbV+djX8drW5t3W3N/V0uLQz+TPz+XQ1+bZ4Ofg4+nj5ezm6Oro7ufu8+Tv+ePp/OPl/eTm/ebo/ujp/Orq/evt++70+PD5+vH6+fL5+fT6+vf7+ff6+/n8+/r8/Pv8/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+Ms0yCP4A/wkcSLCgwYMIExpE4qShw28KI0qcSLGixYsYEcJzNujQsnMZQ4ocSbJkxCQOH5pcybIly3fMCgAAUIAQSJc4c+q0iDKlE4g7gwrFSY0QgAABADBaNrSp05Y+Gy55SrWqwl9YWyFAitQAJKxWw4pFGNUJk7Fom/pbq0sIjEhHkyKwBKTb2rR4qfZMCS6v35Zr8+nq8a/IsplJDc3CsUPXWn9/I7sUt9chL3mSM2N8rAuIQGmFFhFKpAjRNIGNH2tenZFdKlG5aH2iJe51LnqscyPkPETgOT6JnP3LBg2RIHcCfYRTrbs5wniqPt2KV2u2O3GkUolz7vzxuiIC5f41U8Qnn0B3zBYxFThkHnPu3PPFms3uX3VayHGJUrUd/urH8uwy0DSEEJIOQeQEckg1A+3yGGT+NVddLOsIdB9y9oFCYYSSPajLQOksk0gzBdHzTCKAmCeQY+9xmFku+/Vnn3UC0TMfLfW5iNeDFQqUjzOI9KEiQSEqQuJA9Dyoo2TYaUfQhQO9owootsSz5FgPDvlPgoYweFBRhRw4kJJX5rWObbgNBOVAromCS5plUkWmQPAwo8h6B4m3CB8FzRlnWFKCMl1Baw5UWyky/jmUn/+ANog6CpXDh2kEPQiholTZ+EktGD5JY0G5jOIkpkFZSqSIwimUT3GBwPkPo/6kCiVbLDkS+mlBtmjYY6w4+fkjIuVJpM4yiqQ6Zou86oQLKPwhVChB+cjyiSy1JmsSo+T40SVF1BRCCKSVImstS+KImqit+D0HCyi1vDNuSaYONE8zieApETzNqNenuO+SdOYo4miJbqcGsaOKKLe42u9FjFIjiE0WJXiIOfvetXBJ7qQCypsKPWtQbaTkcvFmyNaZCDMXzeMMeRVfOnJG88DyiS3udnwrQrpkd+7LCjEqDSGDEEyROZN6eazFPF8kLbUSeXzQLTEmHRGjwwaXUT4n8hkuv1IjdAsosOxqc7oR5UOLhtV2vbXL/zxTSCDzhJQOcNG0rLZE4ogyav7TNyckTyyg0FLz3QIxKs4yiDwzkjSHBBKO3YQfhB0pAVPkNEIGC6pw14w+Y4gfAl80bLGQR06Qa6DcVtHlCNU2Si6h88xoLnwcAk1J3Q7y4dqmDyRPdLcMPhHrrZeyN+fIOnNIsCQNu8iRR7N9t3ye4HgR8Qjp1yzySAtkCx+GnGZS7rsf3fs/rXhyyi8Ypd8K+xb9kv76XWMF1kA9INOIIPCXJAwfjGhFQezXv7vlAhTHW13fJmKjwAltYYwqAvio0ZLcCWhrkSsXokKCvYS4Y0q2wMzL/MQDWSzPJepITyxKJ7U2qS4jHUzImdy0OWsxKgjgE18FvQWe6KkNOv7SsRIHF1iR2qSifP1iFCuWF7vmMYMRrmDhyOYRC09waiQxVEiotpfE7v3DB9qShk66BQkh8C5pE0obRrLYMV110YulMATzcDKsRrBCiv06oCrENkSyiYQesgAF08blpxyYwnZBoYYhIrGDM14sbwns4wMx8g7A1aIvyWJUC+TYxJWE6BFBqNjIwvEacdRwjUTEyDoOdgteZLJFO7jEIRQnlGkgghJ45FU3UvGJXIiwJGzEWypKkQtXkopRb4HbUOb2iEb68F28gIUnaMaSYEokF9kR2TFbJIQVIAJ6QcmHNB7BglxiShaeGORKrCkRqKnCmIrykw4qIQjhBeU3kf7AgSN5ZYtP7NEl7IwIPc4WCyTEE1kuiATKnEIPaECiBaJMFi8QuDNgplIkldRQEv7kJyCsYBBicko5/lCJHOxTUb0YBcA6KZKASsRgoniFEuKErBhUwl5NkYczIKHPZ2IqCaXo5SlJ4lJhkqKHS9LkH8phFXL8oQVmNB+pUOGJ4OmkqHgrxSkMmtQWAYEFOHXKO5qBy5NeiQjVU2M1L1oSqJ1ipjpq0S5gcAkdVqUa+bzgq7jGISR4glZBwapEzAaKIMA1QoxywSpYGhR1yIIFoZRqmZbwiUgClK0liUcsRBFZxL5HFz9ogbHCYg1LmNM/pKAcYy3qR50YjBSH5f6On3bxglPAAy3oaMUMZOFTFylBCKIw5VAES5HamGIJ8GzOnL7jglekhR65aEFn9yo9+CRhCaHAhRCFQtzinoIFG5Xte3LxgyCMAy/hYEEOHlc4vuqGCaG4YlO6SxFcfFe83aPtKvLiDlvMQIDt9SJ8WMCKAgrFfQbeifyCsITw5oaAAxFGEGIAYLzAoQUQHYj9OKQEAvORu5htiTxkIQQlJFczc8IFVLeblnAEAQfW6G1zksCEU1TuKfStCDtgAV4kdug98JDFC5CKl3nsYgankHFueMEEU4RjqFf9RArCkBA4hIEDGBgBHD6ckXW8ggVIqBA2whCBMkfADJOU0/57rGGKHeg1L7rAcEjdGxldLCEIvrRKdaacEDOY4Re9KEMI4BC3kojDCMj9x5jL0I1e9KIdqxUKmfJhCxZE9S/hIIIMFkrd6koGHkpYAi7s6ZQ9U3lq6wiDGTBZElwYwcRjNsNtvSHgqrynHK0YcmZ2IQNLpAlWmUECE2TB5flK+dQ9A4cJzsDekuTjFklAwi/CcAEOgMAMtEbLnJ5h2jf7ZTAsoCV1dfMGJrSi2Xo+9mDPUAJhtASQS0DCG4bhCzOAgAzg8LRamOMOWazg0pIpQgz8oOS/MHkI6E43nyPyhhG8Ic0iWYe9O/ABgYTBBMTQ96KQNo1TuIDIkokBJf7EBGw4L0EJ3YDycNWtkIa7oR05KQMZkAtzE4jgDVhiTj7Imhtd8IAFnKazWFKCF1MnJB8ub4fGR5KLnvwjCiOAQs4tRg5W/Ds3RIABIVRU8vMZHSFuEIEZsAEOcKyj0C15wxigAAUpYEAKT5j6QJxBCRc0RwaSqFunWeMEeFjq74APvOAHvxZT+yLwZCbIGLBB+L+PmSAjEIY/3mACOPjDDR4oswXgPnUIvWMZk3BmbnawAq2NezV9b7zqVx/4C7H+9bBHAwjyQqZp/OHqusk6IsDV9bSkHvbAJ7zrg098wBMD2Wl5TzMkQRjn4H2hvY9cjjlqsd+EnjukH4R5ov5fFYf4ZfokIXpYyPSM2wMc6zBoBAVP7xdVUG7ppQ6xU2BhiTHAQSxKmscyItF87uBda9z3FO4nDvBnbK2FFiBwAnHwS7ZmMdXwB5Iges6hAyxwCFYSgE4xgAW4cgc4FrFQCriwgS5BJs0ACeXkH1nHCKkidAL4fnkBfiPRAQ7gBiIIGKoxLPzHIXhHcHuXFxr4gvLXFB8YguNnMdIwCNcXIRSoCAeCgUPxg0UXhEMxhDXIEqqRD8xggi6SgijjhEIBhWkBgyJBhVahJESTgy4yA5EwCAHWfi4YhR0oFmTYgHfxDIRACRLoHznAAozAIF64E2CIFmIYEnOoZpAxD/5ZmGE6kn5M8Yc6YQqjcD9pgWB+cQqk8D5VAWHFQAiRoANXMgOS4Ajss2F4EYhjMYgZUYhOoSTOUAiVUCY5UAqMoDgs+IRvGIZSKBSquG9rAQ/LAAnTpSMvACw9iBamKBaoiBG7uHGQ4TCR4ANxgmSI8A6OiBPHGBbJeBHLWCqq0QyG8IpxYkiMQCK1GBTXmG5xGBbbuBMPog58AIyK8gKGAAjFKBbnWBXZaBHrqBOqcYTPqCgzgApMWI0tcY9UkY8VsY85oRrMYAiXgCk5EASMwAwEyRIGiWO5GBQKOYKP8RvwiCkuUAiCwH72eIuCmJE7sZE2uBZ2+I+YMgOswP4I5lCRJnGR8ZeOVqGSVhgYDVkKsYIDQrAUNFkSNmmAEFcVOrkSHfmOwfgnLlAgQ0kSRcmBR0kVSQkvj2GHkwCNsfJffViOOTGVIIaTSAmCVSgSj4GFhmAKyYIDQyCUYOkSYhlYKKkTV0kSj1EOffCRvLIDg1AI+RCXBWmSp1iXOXGXI5GVhDAJ/RcrNtAKjEANgmmRhImMhokTiBkSj0EPy7CW7yKRyzCZKzGXO4GQFJGZGfEY2cKXySIDfxmYtdYUpBllZGmVZsmLrciY72IDMSmZsWmLBAiEtfkUqEky+ueZ/QKaokmUlYmNl+kSxWkRqgkIrGktMiAIgPmbX/7YnOhYlcR5m5K2Fq1YVv3Cm5GpnebInfj4nC0RnRWxFsfpkxejnOipE7OZE6Y5Ee5JEWtBDoAQCT8wMteZnWdZk+p5kOzJEvspEY/hDHfIAyNjnr4ZFpAoiWhBiXlhiZgYFPbDB+TEMy3ACH9goS0YnHDonU6xoFPjD+TQBy45MjPwmvVpjQeKkcOZouDJjv5gh3jIMzZwCl9ZoFJZozeJokKYo/yIhVqYNCEamkI6EveJE/kpESqaEGtxho0Jo5BACDMql0RqlH5Rpbuxo3eYhxeDA7JIDl1KmSaKizd6pESoo4moNjAAl1URpZf1plOIpL3yG8ynNjQwCYOwpv6j+aVUGaZ8aoPPMAiVAKFds4eMkA5PGhJ42hJTGhFiahBrwQyRoIhdEwOOQJF3aqhjaaR7GqcLOTcRSDg1QAmCQKjM2aYnqae6mKhWGA2DYFqE4wMhqg6TihGVula0qpG2ahKM1wydajoy8AjN8KsXEazrlKArkakEgQ3uAHpmKjUzYAmA4KwWAa0mcakKQa0DgQ3UcHu9MwTp53cl6q2sZaq1iqougQ1kZXe9UwOS4AzuOhHg+q6IKq8tgQ3LAI660Q2CZgEfQAbdgBHuAAcloAEcIHkGoQMpgGUXMAK/ABngAAJmFgEcwKb7ikXSahLk+g/eUAyswAJE0BzZIP4GcJANxFACJnBbFtEOcGAGbhCxXmQEKLAAjnZl2fAPG/sBZVd27tqvRDWyJVGy3nAMl+CJ8OEP8kAMIdALDLMW2KCzbKMLM1AJYkQMItAGQgsCs0eSUEqqdDmsKVmsJOENrbACiAUPcCAC2CCdj5G1ksc26+AWyyC3IYBzGxsBFCcGjFeoslqYamuXbDsSHadrUYsNJjAGV4u1WlsQ8bALrRoOYhACfQEOJAAHvTAMJuAB3mC4IdtSSksSJXsLLOADPqYbY2YCrMafd1u5BREOMsACZtABGfsP4RAGEAIOIXAGpiuc8EqsAHstr9ACKwsf2CAGJlC6k+sPeCtg7f5gBCqgATQIGb8LIb8ruQZ6uJaZuIe5uCHBDI8ACcjgvNCbbSRDvbZLEO3gBg+gAInAB0zVvQIBDmK3EqkAMOwQwAI8wARcwAZ8wAhMwLJBbAncwA78wANMrjLhH2M2Ar5QtDRbEfQQDr0AB9qbDdI7EO5AvwqAAAdwAI0gtCIgDNgwbRtQtyYBCpswwzRcwzZ8wzicwzq8wzzcwz78wzNMCskrNb8QAQTxAcRwEe7wBh1rAWVQEN8wAh0bAQsgtB3QARDQAWEQtCvRCqfQCmAcxmI8xmRcxmZ8xmTMCqTACmjcxm78xmVMoucTT73gd8V3x4CHDcuBx3z8IN0Qwv5zHMiCPMiEXMiGfMiInMiKvMiM3MiO/MiQHMmSPMmUXMmWfMmYnMmavMmc3Mme/MmgHMqiPMqkXMqmfMqonMqqvMqs3Mqu/MqwHMuyPMu0XMu2fMu4nMu6vMu83Mu+/MvAHMzCPMzEXMzGfMzInMzKjMjhUAQ7AAS7QGqf7A/hULipHA5AYAPabAPRTMrUbM2oXAQ4sM020AO2IA3onM7qvM7s3M7u/M7q7AzXoBPewHh9fMcbHAzGEAfBkG/3jMfwYLUvMwPkbAM1sAKQcABcsdAM3dAO/dAQ3dCCMAw4gRXCQEAYndEavdEcrdHEMAd4kAciPdJ4MAfF0NEonf7SKo0Vw5Bg4zIEBZ0DS8AESgAH0ADPOJ3TOO2gfnATgFHP//x6+WANcyDSdYAMwYANwhAMx0AHeVDS1xDUsBfQp5sbu5AD5FwEsysW5SAIPd0rQF0V7WAMeADVe1XNa0EP3SAHT30MDLiKVD0yPrcDQeACP6ADOLALb20VXf3VIxjWTxEORU0H86wQ9HANTk0HW70ocb0w6wAEObAL1WAIy4DNOrALKicUfe3TVgjYQ5EP11AHeIAMGRwR7XAMeWAHhQ3XvVDVmREPQ5DX8TDZy6AOPue6aLHZYA3OQUEP1mAHeFAMFxEPwRDSwfAU/tDY45IP4lwE9UHbkHLVQ/7wuk+h23/N2zrh23eQBxSNEfNgDXdwB+6mFsptLc3NXtAtEOfN1V7N2Urp2Tox1HZgB8cdEr5tB3kAw5JW3rwi3eWT3v9AD82tVkNh3T+N3S4h39xNEtqdB6vNjvxNKrqwA7g9EAD+D+9ABLLN1+292649EIi94CXx3XhQBwtbKhGuKJaN2QRx4b4L2SxOFQbe2QjOEt6ADHhgDCwhD9OAB3RwvAyT4nHiDkKw4S1O2eAyEIPBA95W4B1+3R+eDskw2pltEfBgDHkwB1WumUJ+JQKOA0XwQC4uELugA0JA3Tsx4+9d4yUxtXiQDKW9EuiA48cA4a3NK83NZWNO5v45QAQJFxRqfi3wvRLyTQcnjhPeQAd4UN+90uU6It1/LhB7/g/MDebFhhOBDi+DbhIhzug4MdR3UAeLfS2OziG6oANAgOb/MOn/EA8a3s1O7tcHfrroMOV1HhTyMAwlveXSWer+EQ49cNmdxOr/sLeRjXZp/uSz3hIq8+Z7jRPrQOeNfud/QuR5/ewWjuQK0RluFuvuLehsHhKhrQeHLhSJ7uAj6OvOMQ9EcAO7UJXETubPrOorkel4uekiUevB/RS+7eNxjpfq3hxFcANFcOnZXtsScdVEUO6Yruw07q7NngzIPhTwUAyjDRgBb9U44OcTEe8+kufJLusPvxLj/v7gTvENIO3pAE/tS3LVqU4RHh8ezQ3kFGHviYnvGKHvwm0VoF4HMEfqLO8i3cADjRFpq67tE7EOQ3DsOWHzaInzFhHxE/8U8EAMeCAHSpnxmcEOMD71CRHzA4HNbmb0FuH0mgn1FBEPzZAHemDyVYEOII0MgZDkXB70/iEPsb0L/64QYK/kPPDyLmH2qYn2E/EMepAHypAWoJ4IS7HyHy4UzE3wBP71SF8RZT7dge/wSskNwrANnv/5oB/6or8NyFAABXAIh0ATgzD6rC/6wfAGrR/7n18MBYAUMwEAhyD7sq8NGeciRUADQuDSEVEMjuAH3V0Rv9Duwd8SxAA0Sf7sEsOABlQw/dRf/dZ//dNvBWCAB4dQAAmwAFaA/eI//uRf/lRgBQpAAAGAAOBv/uWPBfcXIVctBAwP85VfEfMw8ywh+CHxBcGg+wCxTeDAgcHmHEpUoBEygg0dOgymZoubhxUfDiMEgEABPhY9DtTW5t9IkiVNnkSZUuVKlv907eChq2XKaoaWqZt50h2RHLvk5WxZTpCfc0CNHj05zxmePMucAVqGlOQ3NVyCSSVZTRAfZYcGYQUbVmzJdUB6zsNa8ybWcEJ07KI39p9QonLtkrxGR881uVStykU3Bw/fu4UNk4w3BMeueGDV4sSqy4ePXXLpFj0cFl0yPMbs+v69OjafNTx0GmdGHXZekRtF3IV9HHbXDiEyxV5OLZXe0mQ/+1YNPRZeMTzIch8/yrrIOrGxZecgEu72UMzIc+bdexf0XXR0BlsHr3IXjiHSm9uEDJZeERzLw+IOz1IcZ8/agd+lR5oO2vj9denwwbbz1hJrp/a+AQu+/lDaDY9kTvvsvrvcMQaPYxYMr5seeoprLOfEaqsnXrBSEMOS8qKDMPv+Kqy770zMrRshFvPNQ/Ts0gUIHnYZEakSYZyvs8O2Kyy/0jqE8TBeiLhhl9fs+nCsXXgAojIfqUtypAYfHFLCwtw5xsIsD1OOubuilBI6XK6sK0vsVCyMSMO6y/6jmzHvYi86w9AUa732kDjqxwXToQ81OQubRz8k7wRrlxyAEPDMGwuDh70ikjBK0Pi2hMdQLw0DU0hGwTpCBx10yecwPsdaZ4gcjFACKE3DQxFOww6ds448vBlVqiR4WIy/PSc1LMcdkIh1plmt20xUT1nMLFE85li015aW6KHJTjNbVa5deuBhiZyWPY4e4rhMDVfD2kEGj2KsBWoIG4pgJ7VuvdUhXGWxxLDW49TNNQ9w4G1JCRv0tJfYw/IpIgcZxGWJ3NQ2u+Pdfz+NljRqCVaJCRuAMC9hAlGLhz0aMF1J4mjPrTFdjDMLtT6OTWKihh1QPe5eu9ZhcgZAVf5S+bBr6kjROoAPc9FWjpegIVjkdLarrRqY6BGloAvzJpmKwTvaMCP3m3mkJGiwgTHroMbRh5OB5he8eCpMRtiLoT0OngqNC1uGeZ98WuHcZqPh55OutisYO5QZmOuXJxYMm5lfsEGIX8IrxhE/hgHvF5NRNokYQgYhhnI67oAjPmLE0EKkzImzQxiCDRYi5LP9zk0e1niomiTCxWqHswvj6zqzeIbJYw54kbAZ5/DQLqwdImo4ItK52s5tnnP5Vpxu69xp12JGeaHhBl2q7Xtk8NqiwQgzR9odrKGL7o+qKjYII6VsRoAggghI8AWpcMzAQAQw0AZ//AMddXgRPf6wIQL9WaAMIzHBGPR3gTOQpB1h0F8G3kASd4xAfxpw3UjCEQL9cSAbJ9FFDsrWMvAwr1hASF9J2ieVa8whD5hbkPzolxJfgKAMcDjDBUYgu5mAowwlGMMA/eEPI9UBHv7ohgY2MIYrnGGD4PgABMIAhxFYIHTukOAY4ACCCjgOHiWIwA83UAHpzIOEbXhDBSpgEnjwoGzYWx7trDObnuiOepnpXXHIZzQ1zK9+K/EHPODwgdJJBRtKLGA8iFG8cJSBA47LwjYK+A0IhGAk4KjACP4RjlCKMAL1W8cpR4KNNOaDlQ/MR+hMIi/3YMiFhmEYDnpgpRkaxXoOaoeJdP54SJX4IxxuAMHkSmJE/TVTfxUYQ0keScAC/qMdcsBDHEKgAQbuTzregEA0RzkCDuSjGxAww0ja8QEQzGMYEGgkPIQ4jzNEwE4jiUBJjGADHxAxPjVZgDJHMg8zkGAEZrgnUn4RBhGU4A3BTMkJYDCEEY1gAXOoTmYMBz8MDZMl+fBFBkqQFG8Iw6QnFcYvEvqPaVZzJAfEgwUi8AEzRAACJChgBR74j3WEQQPz+EUFNmhNEWxAHm6AQC9GAo8OfGAeEizJHEeyixvkwHEwAqhA/5GPb7RDHmSAg9yA8os29GKJLj3JG1BAgQn8IwQbEIPS7jIMOtgBh8Is5A5X0v6LD4jgqo5UYklGg4cHcMBOVwjDBqSjUxGa4KdBHWo7inrUpC6VA06FKkmkygsc1GB8ScrqSfyRD7CKNScLFYEYfJEqlZBgBSk4gzXEwIB0ZgYMgpEZXg25174q9STMdOYzxfkPf0wzKcNwgAc6hYUzZOAX4BRnOMhpTnSqk53uhOdS51nPhOZThWWDkIlCaxJ/wMEMJ5SKO+AxjzeY4a8pMUMKVvADFqRgp4ZZgxccFN6O5pWYJ+FrCMyKknmUFKUmVelIlmjc35YAA3L4B2IVy0lP/gMcFhAlKUU5SlWmsn6ubOUrt3pXG9jgTuMtyTDIsFqsnDUbZ9BqSkywAv4bqKCthwFHmJLhzxz6NyV8/cA/etELbKwvJ/PABhzaUAExwEGp3hjBSOfRiwg0gAxVuKmFs7jFLn5xDOEcYxn/ccYImAEOa2zjG+Mo1X98DBfSgHOc5TxnOtfZzneGczMQEdCzLvEXY/gFPZbYBhOUwNAm+EWfy+sGbPRZveU9r5KxQYw2ZOMNbujGG9rgBhJMIAWpGYYd6IDeLHkUJb/IJ0k0UFugVLIkERhpNzwggpG44w0P0B8JzBPBCVZQnRgU4FD/0cEPhnCUJIwAB3w7EhggIADPhna0pT1talfb2tA+AJ/P6o4wgIAEJYCDOxQ97jaIAASIznQv4BCGEf6EQRj0cIcbShAGYswjHGcogRgSbQYKpCYfw6iD6sYUvPDkIxx30EJ83Ixnhjfc4dJYhiL4QI5xV9ziF8d4xYlxAhV8OmwrCs7HRQ4WZyCCD40cecpbAppjBjcCflV5zE9S8onL3OYnAQ09wHFgYfRiWzePOc3JAXSiE5zoKhf60W9udKWLPOlNjznToT6zp0995FK3OryqnvWwYZ3ro9r61wnmdbGPKexl7xXZ0Q6js6/9Tmp3+4LaHvckwZ3u4UFGI0B391GdLnV859jcAR+/xQ0+S4I3fPZCnnizm3zojMer9iDPdsdPvr+St7zcK5954BWe8+BB/Odv5XnRH/4n9KWPEOZRb/rNr95lqnc9ak4fe7DYnfZImf3tkWJ73QMl970HCu+B35LfD3/lpDd+WIqffJUIn/koWf7zcY586R8l+tWfCvWxn5Prb9/52/9H97H//e2Lv/rkx775pY/+6qv/+eyXvvuZD//nyz/59Ge+/Y2P/+Trf/j8N7682zvwOwq/EzgCxAr/Az4AHD4F7D0GBD4H1D0I7D0JvD0K1D0LpD0MvD0NjD0OpD0PdD0QjD0RXD0SdD0TRD0UXD0VLD0WRD0XFD0YLD0Z/DwaFD0b5Dwc/DwdzDwe5DwftDwgzDwhnDwitDwjhDwknDwlZDwmhDwnTDwoZDwpNEI8Kkw8Kxw8LDQ8LQQ8Lhw8L+Q7MAQ8Mbw7MuS7ZViEQWgGBDSKYEiDv3PDOaTDkXsGPmAGaKjDltCGN2ADbTC8gAAAIfkEAQoA/wAsmgA8AG8AHwCnAAAAAQEBAgICAwMDBAQEBQUFBgYGBwcHCAgICQkJCgoKCwsLDAwMDQ0NDg4ODw8PEBAQEREREhISExMTFBQUFRUVFhYWFxcXGBgYGRkZGhoaGxsbHBwcHR0dHh4eHx8fICAgISEhIiIiIyMjJCQkJSUlJiYmJycnKCgoKSkqKiosKystLCwuLS0vLi4wLi4xLy8yMDAyMTEzMjIzNDQ0NTU1NjY2Nzc3ODg4Ojo7PDw9Pj5AP0BDQUFFQkJHQ0RIREVKRUZLRkdMR0dNSEhOSElPSUlQSUpRSkpRSktSSktSS0tTS0xTS0xTT1BPUlNLVVZIV1lFWVtDX2Q+ZGo7aG85bXc3cHw2dYM2d4k7epBEfplPgaFYhahdiK5ji7dsjb50jsR7jsV8j8Z9j8d9j8d+kch+ksl+k8l+lMp+lMp+lsp+lcl8lch7lcd6lcV4lcN2lcF0lr9ylr1vmrZqnrBloqlgpqJcqpZQroxHsoRAtX49t34/un9DvYFIwYNPwoNRw4JSxIJTxIJTxIJTw4JTw4JUw4JUwoJVwYJWwIJXvoNZvYNau4RcuYRft4VitYZlsodpsIhsr4lvrYtyq4x2qo56qI9+ppGDpJSJopePoJmUnpuZnZ2dnp6en5+foKCgoaGhoqKio6OjpKSkpaWlpqamp6enqKioqampqqqqq6urrKysra2trq6ur6+vsLCwsbGxsrKys7OztLS0tbW1tra2t7e3uLi4ubm5urq6u7u7vLy8vb29vr6+v7/AwMDBwcHCwsLDw8PExMTEw8XIyMjAysq7zc2w0tKi1daY2tuO3d6H4eOG5+iH6+yH7/GK8vWL9PaK9fiJ9/mI+PuI+fyH+/yH+/2H/P2H/f6H/f6I/v6I/v6K/v6L/v6N/v6P/v6R/v6U/v6W/v6Y/f6c/f6h/P2p+/2z+v24+v28+f3A+PvF9/zM9PrV9Prf8fro8Prs6fjx5fX03vT42fP64PX65/j67fn69fz79/z7+fz7+v37+/38/P37Ms0yCP4A/wkc+M+fP3fozP0bZ+5cO38EI0qcSLGixYsYM2Y0uM7bRG7d1EHUSLKkyZMa/cETd5Hbt3coY8qcefGgR4wg29HcyROlypsaucHsSbToRIMsS7ocabQpUX/rJHLjpq1aNorc0DndutMg0H9Tm635V6bMmmYfmXJdW/LgwKnV1pQZWNYstYjc2LHdS9KfVoFT5UasO5YgN4V8EwskVO8fIQAAihVEHHauxLpo3yZVzBbeHgD12HW6J/qev3GAuRWeWHY1YM572dVjXNBf6V7M/jHbfRnLF4Flcw8UDpst7YJ+JOPWzXswliy/gw8nXpwrbc+S/y3fTR04Fm7QpeMLbF7demPGI/3pBKvaOVjorrlFLW/+HGTI9Qx2Y9/MsnfAWdBhGDz0FeePOqkJ9h9geGTGzTkFGujPN+xRo2AZWBjWIEhqRZiYP+/sx99YGOLV4HoewqaeYdxQM02Ghl1jhTEpVgcihYbBCFg37czzA401quhXjm+dA5E/8vwYpITsmCMON1iEY846BA7kj49LFugPBgL5k09BBP2QJX2ePFBQPgfQ4s8KVYwZ4ZZeLmAMC1ey4KaWGOQjpz9NFMPnLHeW588PchZkDAr+GPNCoCnyaYw/NDDq4ZUoTAGkpEQFBAAh+QQBBQD/ACybAAYAWgJVAKcAAAABAQECAgIDAwMEBAQFBQUGBgYHBwcICAgJCQoKCgsLCwwLCw0MDA0ODg4PDw8QEBARERESEhITExMUFBUVFRYWFhgXFxkZGRwaGh4cHCAeHiIgICQiIiYjIygkJCklJSsmJiwnJy0oKC8oKC8pKTApKTEqKjIqKjIrKzMrKzMrKzQsLDQsLDQsLDQtLTUtLTUtLTUuLjUwMDcxMTkzMzo0NTw2Nj03OD85OUA6OkE7O0I8PUM9PkQ+P0U/QEZAQUdBQkdCQkhCQ0hDQ0lDRElDREpEREpFRUpFRktGRktHR0xISExJSU1KSk1LS09MTU9OTlBQUFFSUlJUVFRVVVVWVlZXV1dYWFhZWVlaWlpbW1tcXFxdXV5eXl9fX2FgYGJhYWdiYmljY2tkZWhnaWBrblRuck1xdkVzeD90ejp2fDZ3fTJ4fy54fyt5gCh5gSZ6gSN6gSJ6giB6gh97gh57gh17ghx7ght7ghp7ghp7ghp7ghp7ghp7ght7gxx7gx17gx58gyB8hCF8hCN9hSV+hih+hip+hi5/ijaAkUGCl0uDm1OEn1qFomGHpWeIp22JqHCKqHSLqXiMqX2OqIOQqIqSqI+Tp5CUp5KVppOUpJmUo52UoaGVoKWXnqeYn6iaoKicoaego6akpKSlpaWmpqanp6eoqKipqamqqqqrq6usrKytra2urq6vr6+wsLCxsbGysrKzs7O0tLS1tbW2tra3t7e4uLi5ubm6urq7u7u8vLy9vb2+vr/BwbzDw7jGxrbJybbMzLXOzrTPz7TR0bXT07fV1bnY2L3a2sHb28Xd3cre3s/g4NXi4t3k5OXm5ufn5+jo6Onq6urr6+zt7e3u7u7x8fDz8/L29vT39/b5+ff6+vj6+vj6+vj7+/n7+/n8/Pr8/Pf8/PP9/e/9/ev+/un+/uf+/uX+/uH+/tn+/tH+/sz+/sj+/sX+/sH+/r3+/rj+/rP+/q3+/qT+/p7+/pn+/pT9/Y78/Ir7+4j6+4f4+IX5+ocyzTII/gD/CRxIsKDBgwgTKlzIsKHDhxAjSpxIsaLFixgzatzIsaPHjyBDiiT4CZu2kShTqlzJsqXLlzBjypxJM+Knbdy41dzJs6fPn0CDCh1KlOCsnDqLKl3KtKnTp1CjVvSEVKrVq1izat3KVeKYajm7ih1LtqzZsyvDfJqFtq3bt3Djyp1Lt67du3jz6t3Lt6/fv4ADCx5MuLDhw4gTK17MuLHjx5AjS55MubLly5gza97MubPnz6BDix5NurTp06hTq17NurXr17Bjy55Nu7bt27hz697Nu7fv38CDCx9OvLjx48iTK1/OvLnz59CjS59Ovbr169iza9/Ovbv37+DD/osfT768+fPo06tfz769+/fw48ufT7++/fv48+vfz7+///8ABijggAQWaOCBCCao4IIMNujggxBGKOGEFFZoIUHiiMPOPPX8g4899LAzzoUkipUhPPkcpI8+8oxY4otWiYMOPgvpk886MObolDjrpMjQiu7oKCRRMvrokD44DqlkTxnSCJGN5SwpJU3iwDORPvNMqeVLGRoZkT5RbilmShpWpM87Y6YpkjhZUqRPh2rG2ZE4cF7ppJx4YiTOnVfm6adFvSSjECV5PJJQP38mKlEvyAyahyGGGtSPoIpW2lAvxjiqD6SSNmrppwmVmRCh/2wa6UD6WAnqqgWJM44+wKPmIdCmiKKKDqu4DiSOPLGiekit+tCT67CuekkQqb72s+I5wxK7DqwGIZssO802K06QBvnTR0H68KOGMNVa2yO326KqDzvYEAFuuLmKU06bs5ZbKj3MijONuuwSW8479eCjTx8fwnOrrs8QkS+74mAgkDgniUOQwQdXK8oD/zB8AC3irEBGxPkmzDADwrQgzjMtcIwwBtqALM4Tv6zMlsnWEgFyxcKQII4zMsAc8crOiFODzgeLEw0JYhADdJ4BAQAh+QQBEQD/ACyfAAYAVgJLAKcAAAABAQECAgIDAwMEBAQFBQUGBgYHBwcICAgJCQkKCgoLCwsMDAwNDQ0ODg4PDw8QEBARERESEhITExMUFBQVFRUWFhYXFxcYGBgZGRkaGhobGxscHBwdHR0eHh4fHx8gICAhISEiIiIjIyMkJCQlJSUmJiYnJycoKCgpKSkqKiorKyssLCwtLS0uLi4vLy8wMDAxMTEyMjIzMzM0NDQ1NTU2NjY3Nzc4ODg5OTk6Ojo7Ozs8PDw9PT0+Pj4/Pz9AQEBBQUFCQkJDQ0NERERFRUVGRkZHR0dISEhJSUlKSkpLS0tMTExNTU1OTk5PT09QUFBRUVFSUlJTU1NUVFRVVVVWVlZXV1dYWFhZWVlaWlpbW1tcXFxdXV1eXl5fX19gYGBhYWFiYmJjY2NkZGRlZWVmZmZnZ2doaGhsb2pwdm1zfW93iHJ7kXR/mXaCo3mHrXuLtX2NvH6PwH+RxH+SxoCTyICVyoCXzICazYCbzoCczn+dz3+ez3+ez36fz36g0H2i0H2j0Hyl0Huo0nuu1Hu22Hy823zI3nzU4nzc4XrZ4XjW3XXT2XPQ2HLL1nPB1HO10nKz0XOx0HOvz3SsznWpzXenzHikynqhx3yexX6bwYGYvYWVuIqUspCWr5OZrJebqpmdqZygqJ+ipqKlpaWmpqanp6eoqKipqamqqqqrq6usrKytra2urq6vr6+wsLCxsbGysrKzs7O0tLS1tbW2tra3t7e4uLi5ubm6urq7u7u8vLy9vb2+vr6/v7/AwMDBwcHCwsLDw8PExMTAxcrAxszCx8vIyMjJycnKysrLy8vMzMzNzc3Ozs7Pz8/Q0NDR0dHS0tLT09PU1NTV1dXW1tbX19fY2NjZ2dna2trb29vc3Nzd3d3e3t7f39/g4ODh4eHf4uTj4+Pk5OTl5eXm5ubn5+fo6Ojp6enq6urr6+vs7Ozt7e3u7u7v7+/w8PDx8fHy8vLz8/P09PT19fX29vb39/f4+Pj5+fn7+/j8/Pj5/fr3/v70/v4yzTII/gD/CRxIsKDBgwgTKlzIsKHDhxAjSpxIsaLFixgzatzIsaPHjyBDirRCUqTJkyhTqlzJsqXLlzBjytxIsuTMmzhz6tzJs6fPn0AV1rQStKjRo0iTKl3KlGbNplCjSp1KtapVi0Ovat3KtavXry2fgh1LtqzZs2jTql3Ltq3bt3Djyp1Lt67du3jz6t3Lt6/fv4ADCx5MuLDhw4gTK17MuLHjx5AjS55MubLly5gza97MubPnz6BDix5NurTp06hTq17NurXr17Bjy55Nu7bt27hz697Nu7fv38CDCx9OvLjx48iTK1/OvLnz59CjS59Ovbr169iza9/Ovbv37+DD9osfT768+fPo06tfz769+/fw48ufT7++/fv48+vfz7+///8ABijggAQWaOCBCCao4IIMNujggxBGKOGEFFZo4YUYZsicIhwqouGHPymSSB8C1aEHIiCmeBOHg9hBUB13/OGhijS2pMggdxhUhx0kluUhAOLUyJ6ILh4EI4pj7YOGP4qs0Y+Q6inSI0J14HGWIqY8CeV5jDDCUB2NlNUIkFuix0iYC9XhCFn99KOkP2Wa1+WXaH715ptxmqeIHgrFYeVY/cxojJZ5jqcIIjki1IYkhTaKkSJ/FHmQG45WShGHfSRq6aYZHfrnGpyGWlGHbIhq6kIBAQAh+QQBCAD/ACycADwAGAAYAKcAAAABAQECAgIDAwMEBAQFBQUGBgYHBwcICAgJCQkKCgoLCwsMDAwMDQ4MDhAODxAQEBARERESEhITExMUFBQVFRYWFhcXFxgYGBkYGBoZGRsaGhscHBwdHR0eHh4fHx8gICAhISEiIiIjIyMkJCQlJSUmJiYnJycoKCgpKSkqKiorKyssLCwtLS0uLi4vLy8wMDAxMTEyMjIzMzM0NDQ1NTU2NjY3Nzc4ODg5OTk6Ojo7Ozs8PDw9PT0+Pj4/P0BAQEFBQUNCQkRDQ0VDREVEREZFRUdGR0dISEhJSUlKSkpLS0tMTExNTU1OTk5PT09QUFBRUVFSUlJTU1NUVFRVVVVWVlZXV1dYWFhZWVlaWlpbW1tcXFxdXV1eXl5fX19gYGBhYWFiYmJjY2NkZGRlZWVmZmZnZ2doaGhpaWlqampra2tsbGxtbW1ubm5vb29wcHBxcXFycnJzc3N0dHR1dXV2dnZ3d3d4eHh5eXl1fIFwfopmgJVegZ5WgqZQg61LhLNGhbdAhr46iMY1ic0xitMtjNgpjt4nj+Mlkecjk+wjlfEilfEhlfIhlfIhlfIhlfIhlfIhlfIhlfIhlfIhlfIhlvIhlvIhlvIhlvIhlvIhlvIhlvIhlvIhlvIilvIjlvEllvEpmPAumu80m+07nepDnudLn+NTod9cotpopNRzpc57p8qFqMWQqr+erbior7axsrKysrK0tLS1tbW2tra4uLi5ubm6urq6urq7u7u8vLy8vLy9vb29vb2+vr6/v7/AwMDBwcHCwsLDw8PFxcXGxsbHx8fIyMjJycnHy87FzNHEzdTEztbCz9nE0t3I1N7S2+He4+jt7/Lz9ff3+fv5+/37/P78/f79/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v4yzTIIvwD/CRz4z5/BgwgJKhyIsGHDhQwdSjQIcaJFfwovXoyo0aJAi9iqXds48ZkpTihNPet4sBoqUShjijpFjeXLmDhDmer4DCZOnKKcaTz582cph76S+uJVlJODQThzKZ2aNFdTByigooRFdSrTog78ZUV5i2pDojjDih1ESmPPn2r9pVjlsCDCU6HSIhSSLKHdg9RM+XTacEhfih8bOiuFMu5BwxgJSqQ27YLDakMqSswgEWLihpwfeuZoMDRihQEBACH5BAEIAP8ALKAAQgAEAYYBpwAAAAEBAQICAgMDAwQEBAUFBQYGBgcHBwgICAkJCQoKCgsLCwwMDA0NDQ4ODg8PDxAQEBERERISEhMTExQUFBUVFRYWFxcXGBgYGRgYGhkZGhsbGxwcHB0dHR4eHh8fHyAgICEhISIiIiMjIyQkJCUlJSYmJicnJygoKCkpKSoqKisrKywsLC0tLS4uLi8vLzAwMDExMTIyMjMzMzQ0NDU1NTY2Njc3Nzg4ODk5OTk6Ozo7PTs8Pjs9Pzw+QD0+QD9AQUFBQkJCQ0NDRERERUVFRUZGRkdHR0hISElJSUpKSktLS0xMTE1NTU5OTk9PT1BQUFFRUVJSUlNTU1RUVFVVVVZWVldXV1hYWFlZWVpaWltbW1xcXF1dXV5eXl9fX2BgYGFhYWJiYmNjY2RkZGVlZWZmZmdnZ2hoaGlpaWpqamtra2xsbG1tbW5ubm9vb3BwcHFxcXJycnNzc3R0dHV1dXZ2dnd3d3h4eHl5eXp6ent7e3x8fH19fX5+fn9/f4CAgIGBgYKCgoODg4SEhIWFhYaGhoeHh4iIiImJiYqKiouLi4yMjI2NjY6Ojo+Pj5CQkJGRkZKSkpOTk5SUlJWVlZaWlpeXl5iYmJmZmZqampicn5eeo5Wgp5ShqpKirZGksJCls4+mtY6mt42nuYyou4yovIiqwYaqxH2qynKp02mp2XOq04Cry4qtxo6tw5Ouv5Wuv5ivvpuwvp6xvqKyvaazvKq1vLC3u7W5u7u7u7u7u7y8vL29vb6+vr+/v8DAwMHBwcLCwsPDw8TExMXFxcbGxsfHx8jIyMnJycjLzcbM0cXN1MTO18PP2cPQ28PR3cPS3sPS38TT38XU4MfV38nV38zW38/X3tPZ3dfa3Nvb29zc3N3d3d7e3t/f3+Dg4OHh4eLi4uXl5ejo6erq7Ozs7u7u7vDw8PLy8vT09Pb29vf39/n5+fr6+vv7+/z8/P39/f39/f7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/jLNMgj+AP8JHOiv4MCDCBMqXMiwocOHECNKnEixosWLGDMiLMjRoMaPIEOKHEmypEmFBa+tWvVv5TWPJ2PKnEmzpk2B/qaxPLhqmr+bQIMKHTrUn0qFq14SXcq0qVOK/nYi/fm0qtWrQ3v1kppwlVasYMOKFfm1YdmxaNOqZaiVK0KvvdbKnas2KsNVVOnq3VvVqNuBPZTxHUyYaM6/AocUXsx4ZsqV/xw0nkw5ZscMlTNrDlkQ8+bPoEOLHk26tOnTqFOrXs26tevXsGPLnk27tu3buHPr3s27t+/fwIMLH068uPHjyJMrX868ufPn0KNLn069uvXr2LNr3869u/fv4MP+ix9Pvrz58+jTq1/Pvr379/Djy59Pv779+/jz69/Pv7///wAGKOCABBZo4IEIJqjgggw26OCDEEYo4YQUVmjhhRhmqOGGHHbo4YcghijiiCSWaOKJKKao4oostujiizDGKOOMNNZo44045qjjjjz26OOPQAYp5JBEFmnkkUgmqeSSTDbp5JNQRinllFRWaeWVWGap5ZZcdunll2CGKeaYZJZp5plopqnmmmy26eabcMYp55x01mnnnXjmqeeefPbp55+ABirooIQWauihiCaq6KKMNuroo5BGKumklFZq6aWYZqrpppx26umnoIYq6qiklmrqqaimquqqrLbq6quHsMYq66y01mrrrbjmquuuvPbq66/ABivssMQWC1I1xiY7EivKNrumKs5uB22U5URr7bXYZqvtttx26+234IYr7rjklmvuueimq+667Lbr7rvwxivvvPTWa++9+Oar77789uvvvwAHLPDABBds8MEIJ6zwwgw37PDDEEcs8cQUV2zxxc3+UlJAACH5BAEoAP8ALFIBjQAfATsBp/0DA/0DBPwJCvkRFPAYIfYiIvomJPwpKf0sK/4vL/4zM/43N/w5Ovk9P/ZAQfZERPRNTvVVV/lbXf1iYf5lZf5nZ/5sbP5wcP5zc/53d/56ev5+fv6Cgv6Hh/6Li/qQj+6PjemNiOGMgduKctKLZsSPWL+UTbqZSbejQrOnPbOrObOpPbSoQLSoT7GpXrCrb62tf6ailJ+amZeclpCcj4qqioi/iInEiYXChX+/f3u9e3e7d3S5dHG4cW22bWqzamayZmOuY2OnX2WcXWeQXGd+XWFrXF9dV19UTlZKRkpFRkI7RDw8QTc2PTMtNSglLicgKSsbIigWGSsODyQKCxsHCA8EBQgEAwMDBAcIBQgTBw0xCg9nChCADBOGERmKFxuNGx6OHiCPICKQIiWSJSeSJymTKSySKi6TKzCVLTGXLzWYMjibNzqdOj2ePjKmXBq0lAu+uQzAwAe/wAS8vw2uvR6YvCiKuzSJvj+Nwk+Px12V0G+O2H+J54aE7YWD7m9t811a80xJ8Ts68y4v9B4g9BAU9AgL9QUG9woG8RMI6xwL5yoR4zMT3TwY2Ucd004j01cr0WIzzW44yIU0xaAqvrkfw8EWw8MWw8MWxMQZxMUcv8UfusYjuccovMksxMotysotysouyss1y8w6zMs9y8lFycdMyMdYycdiy8lozc1u1dBy19Rv2NZ32tt93eCI4OSb5eai5+Wj5+Gl5dyp49+w6OK46+DB6dXR6s7a6NTg4tri3Njc2dXY1tTW1NDV0MvRy8fMx8TJxMXTwsXcwsDfwLzevbrdurfbt7TZtLPTsrXHt7e+t7a5vLO1vLq1u8O0tce1sM+4rdq3sPC4tfq4t/26uf68vP6/v/7Cwv7ExP7Hx/7Ly/7Q0P7Y2P7c3P7f3/7k5P7n5/3q6vrt7fLw7u3w7ezv7Onx6eXx5eLu4uTp5OXl6unh7/Dd8vTb9fbf9vbl9/bq+Pjv+fr1+fr5+/z7/P39/v7+/v7+/v7+/v7+/v7+/v7+/jLNMgj+AP8JHEiwoMGDCBMW9MfQ1zmG/hRKnEixosWLGDMiZGjuF0ONIEOKHElSIUSHEEuqXMlyJcSOKVvKnEkz4R45c3LOkaNLlzNh7W7q3KmrptGjJf3Vw6VKFa57EZFKnQpSDp2rWO9o1VoHK1YcVMOKFRgNxAMFEio1QsQWUSNKIh4kqCBtrN2xe+Z4pcMHV7Ra0PLsnVP0ruGZ9T4IAAAgAIFIqgCrihRpMQABD8Yd3lxzz146lC6JviTYK2HOqEl6e8CYcYEP/mB6c9AaQAEPqXOXtGp62LtauN553ltYt/GK2gzUHmAhtkduylsLoHC8OsaupnX5Q5l3rx1n1sP+H1xd+3VEj98glMctvv1BSXhw0snJc/tDPvJz1sGDx737dyJYJgAE5ESllDWWBeCAOP41iMckqMCzzy2gvDJPRPZhOAsosNBTjyuU9NdgdfbQ8lYED3hQIEFKaSMBA540ssqI4jHzYCrwCEThKwNlKNCGHf5zzysh0mgcLpAIggtEUfXIZC6REIKLkcfl8uAq8Qjkz47zaInSjxzSE9E9sIQIHpWbveMHI6ow2aSTDN1jSyOC4INmakVJ4oo8Wm5ZYZf/+PgPkGJGhA8sk+Bx5p12zRmIPUxuBJGahczIqF1C6UUHT336aaGXD4HZYUr7xKLHfDpxeulRuUwySC3+kUr6US6PCELPqmINh9VpTHIJalSExrSPrledhitN99TSyB+BxiSrP/T0wYilx0pF7Hza9frnr6IW+tE/3e1aXLUs4SLJIEs6+6w/uUAyCJ/kHnUtYZH6GuiXg4bZ7EfhFjtuvCTdY6Ifbk7EZD2xsAmwUaWJG5O9ghK6L0P9YruwSri4mkusBkME5bsXy9QObw43CTG+Ek9csbEhh5RsIwSrK9HBCavSMkt82FEsfdkOdHKo+QbZKX6aXvXvzRe1ii7HFD2ZZD1Ik/QMHn3cMkor8TD9M7D6wunPK5nM8kwefLgTNUb7zAkI001DNI+0Np8Nkjt66JELPFdn/a3+z9veC3TKcII9Sz184MGM3Ba588erbLfNEK2S2Ik4RoXjYg/eWO/N96d+cy00i1+H/Q8ufNg9+US2PBIIPjJXxKQ8fhRSy+kWTc0Hn5hnfdDW3RrEkOAC1aIHH+3QjtA8fjQCS+Oue9zIJMZPRLceZv+TO0K8B32r74KPWbgz9kRfEC6R2Nr6RRC5Mwkh74iPED6F5xK+P9fv3nfEXRvUfUTv8JFHLu4TiMBkxDyLQMQetlhE3AJIENt1iSH1M0j2AFeQ/UVEeGUTXz2uAQECVOIW58OIxyhBgAZwQDMMnJ7ZIBLBgkwwfxUMW0rgp6jw0S4xAopAgd4EEobYA0H+jAlAA1AovnvEDyoszBv27ocyGBLEgvwrHQBp1w3WtMYAsFGJP8ChntYMoAMB9APVoPGPYZhxGNHwxCmigRBVbCIVbCwjNJoxDIG4URVxNEgqLqGKM5rxHzLIgx6eQTsQEKA2AohAHUsyjGkUAJEPMF6mrlKflLSQIC/8XAxnMTF/4GM4qTraxapYGyyyhIvLASPtSOavmFxyc4DCnyafKLpO8mEwolwYDhmTSHKw5IcDCOIQjcdKbLlSifbjnCy3p79aTowPRbPY2WxBwgd8wJctsQc3IuDB2RETl3t7pY6Y+DcnDgR4cIJmds5mj+StIoQiYQg+cMGIVESvmPT+Iog4/5FJZm5yIf5Qp7jO1ipBuENzLHlcJAZhw9Ph81/77CdC0Mkigfprmo9YG0Jd4g/kFSIWtMsFyXhWkIiS03P+pCUnF0I0rKjqZvRw50YTyq7nnc6IeNDFKEoBDx4KxKTKbOIsz+lM0LkiE6/Yg+mQZi5BvGOmHFXfIAAlN9vRY6c9PQhQYynUlBJ1pb47qiwCk8Gb1cIRMUMKtGJRKcSp0B9YRchWuaW9iRa1IGKFXx7A1zLkESIWUKVpLhwBvbPhVBdQiatWkSnBk/buIBQ1iFj94Q6lTvFi5AuEmKTCEPWx72xWZYhiDTLXzj22mWCVbCZkwZCxlXVhZ03+K2frUQuFIW167YDIaEvKWBc6tq6QvStBJusPI+71HgtTE+Oo8rhHSAJph0XiP3arz95i8rcUVGlCiEtZyy7sFpF4lE+N4o93UIIQ1QtZaD9C3YGUdpl2TS1eV7sv16b3WPtQ1jvF4g8E2vZiuI1Je39qXVjSNbtf3S59m2UP/zkDudV6x+JgNRZ2OTdkNETs3gZsvQKPM6jlHKpAIjtfWTipsks91i0gEQgI89e8hLhsvNZLEA6/t6vxVbCJnWRf/NLCEawYr1TucQsFkmuSm0oHD23sYX5i15wjFu5AxAq6BqOKpGhSLoXtYuHnVguf6TAIk7G2RBCjNMcIoTL+6G5pml3cacUtPow7zjulY4FZzDyVa5MlGlz5DnfBFY3mHNxMpX3MAq1CngqRjWznwYS5IGPOUjK5GmKvRtnPUwY0QSw6H0IbSbm22EyXv+xoPOdosWSe9IGh/A8S/3nHBeH0oNEE3kdxZs4xxtU+7gzpPKNa0o0182n/mWZND0TWnqbRj/2AmkUvkFEywA6q5HC4gnjiE3ksSBrX2MY3xnEYc1zkHbNNkD0+uyCo4ONBbuIVOeSAStCYRCNkkJpnPAJXdMtDO0YBilMfJNJlpvSZ+6zjhLRCE7Hw3zNc3KBaN3QzuL6vkQiX03vw29+m1nOqgy3wYWu32LA2yMH+Z6ELpd6CRv5Ydm4QyOhCi/EZ9YBrvxMCcFXfqwhIOG09ZNAELTwhNJgWiJoPsgRLzMIfziBbnRMigxgwQQtZkIIRBBIDGTwBC1hQwiLRMQMnaAEKTGCJlnUDuUSLJxZ44AM6InJxmvuatHtmIs5PS4Mm0AAYMnACEmhRcIQUnZP4sB28DsJzJtwdGED5Rz1owIQZ/CIYwjjHP8xRBCbI4BfCKIJLag213OC6fUbChR70vQ+BtB0hNee4l+YOXHsgoQjF84cRlkDuVyfk7wIhXB6e0QuE0AAKNLBTSpxxBHpH6hlHiEGzlK9FleuG5W2iET0Kh9iBnP7fb+ftxn3+G1TWp6wer4+9EaJASIRc4QpZuL3RtVRyPcjgCAep+xGYAIUjDIN1M1CCEZwABSMIwx/7QANLsH/9p3klUQ/W4AAEEALYlButUkIbQETigQ9+cAcwV2Mzh3rZV13bd13dl3PA9Q+VB3PD0ARWwHwHkQqVcG4EgXtawgyCNAMHUQRZ0AQzQHxa5w80kAVMEAPPgARIEAz1UARZ9wzPoARRcICKwUsS0ICcYQ/XkCALIIHWgXZqB2kZiH0Yx4HAxn1c5X350w5FIAVYAAVLEAUoqFohVxAuKBD20HVRAAUGUQRaQAOlNww5p4NQQG//4Aw5R3lPwHxHWBLcQButcQD+H5Ab4RABy8EB7XELgpRbWLiFNbaB7hV3H+hx9oAOi9cEZGR+6Kd+8lUEeoAHz0BVAkEDgSgQvXAEmsd45RcMR0AD98B4ZzIM8EcS1vBIXqQBufENB4BIEdAelPRvWZhxvxZwqweCgHMwR7AE3pSCKyiKBhEU81EQv2eH/yAMSEAD/3CExgcNRyCDMaAEyucPg0gShVgbiKiIjOhFjngn14eMcNeBBnZzzJg/wNAMiHcEUUAJQfcPQ2cQTTCNFTEDYBcDw2AEWvcP7TB7z4CLSAAM/9CKSuAM0IAEckgSu3QZTbhy1xBMjTGFjDKPvUaJBGaPH/aF+fg5eKgFWpD+BJVwCQE5kCRBA0UQBVKABPfHikYgBVJwBMIwEMDwk1JngPGEPJLgANbkhKhhD93ATZ5AhUZikpWIkh2mkk4mbCFIbAdhkwQxcihnLoGAisfxDutzISV5jCepcV3ogR3XlR/3lcYWlpoQkNXhD7XwCMwmHghTKWbXHlZpfZaYkm95j4KSBeiXfgQHcgZ3lyMCLX7gCCDVHoM1CYElmGx5lW6pjKb1D6qwgr6AZnS5hnaJl8bhD2Q5eOGBloSwWWgymKZXmFl5mCu5aiLWalImdHU5EGLpHwyxl33ZHn+5X7G5mYSJlTdWaaSpho+JmrkhmUDWILnwPJkZHrI5XbT+uZwDh1p9dxC/6R6qKQlO1SCuGXPHiZXaqZyYGJcIdmnfKXKQKZ56+QjM0iD0AAuFEGTp6XbsqZV85p2OiRDhKR5KMZmsQCPViZmBWR3ZmXpeiJuWpps12ZsCUaDWwRBNBXrmuT6QQiUPup3tKaHNWWLPSZ97eZ8jkp8f1aDHEaL/aZtb6Z6s5mqZZpq+OZ8G2k7TaSQLep0vipyzGaOeCV+NWZonaqCqOQkGRSWu+aE04gmbUHsDcW1U+g/bdqVuBEcCAW50ZEebgEcIYW4JkW4sOBBm2h5m5AePUFhGAg2UYAgy8EcjAqOdaXNGKqBISqA6mqE8Si00sg/VSQn+QKobdpqMeIpjR+qcfAqdh6GhTCpjNPIO5wIVNHKo9SijAeqVjAqefXocwZlRjDIPqyA7hZoamKp9mvpkuWmjvImjF/qpqcmjCXongsoIhOqiqCqk63mnqveZ70mh8VkQGKobkCoIkvpp58I6dcqrEAqXJLqoJtqo4RGqgLAqpGqqusoZqcqFRaqoetqp8umod9FfkwkLq3Krudog3XqJAMqqE+qqAmmh/1CsqXGsyeqky7qtm9GuhvmtzCmttketeVmf14or88AK2uof/lqbANudnDqtnkqu/GWujoCuupYLuHqq/eqsIvquXBms8gqWOUqxYXGsEscolDoIzOr+Hg3LnR6XYAM6sQVLC6JaLR4FK/x6Fy87osBao7s5r7Bar7LKGQxRD+dKLurKsYbRsyBLo60atCQbqyY7FRpKnil7Ke5QqUxrF067qiELtBU6tPYqailnnwATUwsrHl/7sDELnzM7rqmJgB0kAuUAMLRCAAygAQyCnR5LpIkasOEqsXKrG/XgAQJCAXdbLfeQDQmSAH3roH/rqxH6s1E7tkmaG9rQAOyYiNUyDu/IGAOwAX6rns+KmOAasQNLs9G5i41ILuGAAIgEAaXrn5QLrZYbr1JLr2VbrptbGwjguccCustButbRtoELsXMprsRatIahFB2QuIt7LPegDSL+GQCQW7saCLi/mqeqe6OZa7Qd5QdLaU3Ty7jeIAEE4AnisLNhgbzdm7rLS7jNW7Xk5Q+2EF5mCTDyMAmF8FTuOxXwW7neO7+rW7iowRCTOZwhg0CG0CYBLBVSeqX/YKUIkaXdxqVy9KWgGaZXSqYIkaYhrG6oYUbQIAmOwIc38wyOEAl0GqSm+7FgC7W6i7kEK761AAmA8HAhIw+UUAgHFcFHMcC4W8Ayu6esa7QUiFaGhQuLkApdK8CTi6jxK7jf+6rh+7zsEghKIjfuAAmQsA9CbBREjLpWbMDge8OPeraAUHpnMw+qYKqSG8PcS8Dye8TMe5oJfA9JKzf4kAv+i7CuxlHGt5m7JXrA9ZvATZW1LbO1hAClhjrFmeq2conH9KvHZhsLfHk6+WkIxhnJdHy7Zqy8lozImPyo8/AHjhCNiAMP1jnGM0HIMxqtg2vKJWu0+VuWtNO/QAzLMiHLm4rGWKzGXLYPC2w8RKYI0QfKtkvFdnzGpZzGSVyu7sDFS3c67vAIkRDFZCzJqkrJIru7ZOu8zGWzgCA5tDMPqWAIIMTM2yvKhWzEcIvECMxlSHux4vPHgezLLAHM8HrI0lzPFUaWHGo88iAJhICeuxrKzlzEdzzPeXzLz3vM7oMwD8zPKuHPYXu5w3rKY8EL7wAIj8DK1XEPv3AEUqD+BUcwmi3hDo7ACFiHdVKADv+ADk2gBCktA1FhD86A01nwDFFxD+UIdcAQFehgBFCQBVFgBOYgERpNwwA9zNMsFrywl4DQeeHhC0qgBMKwkExA0ywxD5SQCFLQC7zQDOlgJzZdBDKwhzv9DEUQAz/9EfcgAzQwA1lQ1AAIDEjAe84ABSBIc97srcn7tsIat4l8F73Qx+GBD9DgBHXkD8CwBDLIEn+cCFHQ1MHwEeiABP6ADk+gwi8x1xgCgL6Q1x9BKnLt1IPtrjNMy1cstFlMFe3wDJIQCIycG/fQDE4QDIHyC0wwdS39CFigk1wdEZ392aFtIBxB2hCxD6et15H+sg8yoAWszdCTXNiVDNGXLNFj0Q4U3R7A0ARGgA5imAWBvRL0IAOKMAPNsARSQJHJDdo67Sbm4NwMAd2oHSvpEAVIiXqt/a/aHc42PNVU0QvnQtLWUQ/O4ARYoAVMgAS52NKNIAn28AzBTRD07Saxgd+mvd8pYQ43zcNiFuAOO+Bi29HeLRZnBQgM1x73YA7o0AuvNxNibQi4AA0MqeHLXdodDtRMot/SzRE3rdCCjd3fjOIcjdgeTRUJSAAiEJlx8tjl1xJ/7AgEYABRMOE13eP7ct9A3ixCntrn0ARMEHOBCQqfUNCQRgpsPhDvIAqtgJUbYiEn8RAMASQy6gr+mFCZ4Nnnj+nnDKQQ5+AMw+ALeWcEL14S5kADMbAYVGAFBVDTSrCPUFAEwMAL/7AP5gAMw5AFd8cOm44OwfAMWRADwFA8Ze4EvdAOrs4ZrXAL7zDrwDHr79AKlzDoqIEONCAFWfAENGAOGE0QlEcFV2AFVHAZNe3gMY0FSfAPF97sWDB1byjtwQcN0o4FEmEKp3CmAmEKqODtqlAKqeDt6TYa6J7u3T6mpuDt/5AK6x7C8a7r9C4V9WALsm7rtW7r8IDV9f7vAB/wAj/wBF/wBn/wCJ/wCr/wDN/wDv/wEB/xEj/xFF/xFn/xGJ/xGr/xHN/xHv/xIB/yIj/yJF/+8iZ/8iif8iq/8izf8i7/8jAf8zI/8zRf8zZ/8zif8zq/8zzf8z7/80Af9EI/9ERf9EZ/9Ehfrhky7Ad/D9eguCZ/5/CE8d8QAa8R8sgzCIGAC/WADj4BFPaAPIIQCLeA5hx+9mif9mrPELwg6gtjD7wADNRQABBgAiYAAQXwAMAADOqw8c8wCG2BCIWwFVtRCG1xCHxg6H60+Izf+I7/+GfkDIYOMM2gA2NgAiqQ+Zqf+SewBmfQDBofO4F/CIVACKZPCIYQ+IjwKgfxDWa/9rCP9m3P9JxxD8BwApnPAiVgAgZgAHWPApnfAmlo8YBwCIGfCM4lCcrPCKq/CIf+VBut4QH+nlCzTy698ALBz0beMAEcAAIW0AH2IAy4rwIv4PYWLwiqLwi10A3UUA3dIPptYQh80A30X//WwAAccL7Uzw60PxY/lAEAQayFChZE3PD6l1BhQnM3wqBQ0WKaNgvlFl7EmFHjRo4dPX4EGTIjHkOITCI65MeeP1/n/M0LdNJkoT4Xwz3gYFFkSH+82PnbGVToTm8QCkB88evGQY0N1xBzoQKF0Q9DrV7FmpUjSUG3/jiKdGslS5cv/TyKJCuQIZoLb+bUmrHnz7h1P9rjBQyEAAAFVKgwAcEYD6YZG5pZNu2B1AcAAjgABmydXcqV6+I5JCjXPnAMPpT+A0o2tLYFF8LVA8SWj8K3OivPBWpZ9j97N7rc5oLkb4okt7usKaYxHQ7fuVWkMNH7tprJs50/18iM0KFAuhJ2/pxQdELSpmn/KWSo5r/WsmFDp3zuBhtlxZgdNyoCWLIgaowJ1zHmBjBqRv+SAKaYHNJACD0DnctlukDc0Q47nbb7p7twgLLHj/BqKs+y8w7USr2DimFBBRGuscCDf9ThwT78zEDmn28m6ICav2KwZxkCOcTRLl0EOQQQBv/xxx8HtWspNgmD/AcfC2n6BifXKNswR6s8HAYiaS5CUcWM0tGBxYXMmYagaGwsUEozd5rnj0FKAqQd7YIcEsgiuSv+bUIk91lSELRsqUdDn2I7Myj1xjhBhSuxTPG+Lbts8UtpIqrhxkAn7WgeQU46pBZ7gAxSSM8enDPCOjtNCM9CMPWjTyj/pHSnc5hJQQUYVF0oS0Ux4tLLi9h54ThJWwV2IQtlEqSWbo491poEspPTJTpN6zS2YU8axFhkkf3myZ2iDLYjdmBQwYUya010xUYv4sUEFV4Yt9tWAzlEJkYIAKBeewHYYBwinRXVu2j/SU2mRei91164hOLW3YzuKYagQzGy1VyN2IEIBoWDBSTek4q9tpsPDMhAnH2NrJPTTqc1qdqOu7HGAQ3IGSrhixfypeLmIC53UV0xMmcZgqb+mXnSdgaR6RBbxlIomwRCHvnZcN4MEiaNEfGDHozCgeDlmFkN+iJfojLoZkS1xJVRjWo8I1xau8ZxLT8AcUQQXMYCVGmmmyXZO6jNesQRQzS7OmuYEeaa7X/ADHcHN8Qml+yLcj33ohq/UNdiwzm0cMFvFPigHlKTXlpkvJ1eKNptGKgAkELatEnwrem6vBcUWIhmKcYViljnyBeqMQ1iIIrhcgPdGaSQXFzk3HNAE7JbdAglvKjT0yv4xu3WtSYc9q7tqaZQaTy8PaHcy95Zcht/+SUiaijQVnjK1tIU+c6XZz70pvt9Onp/pg8nl0EIOR5rXJc9+l2sGyRYlzn+wKeR8T3ObBnpnU96ZYIBVMV9lrEQ6+S3NtDd7Xkl0x///pHBH5FngEGRWavM4QtghEAARznBAgIAAR8sjoE5I9/uFFIjMiyDGgUwQQoKUC8GRCZ8FwzKLggBQO1srnMZad79oIeR/aHuafZIjUoSgjXsobBwwWqIb8AQKwoqpw3ByUgDFwI5jainOEkADAGU0wUzHBGJIVnLMzYVJCdysH4eDNUUMcI/oORCEITAxRZPuK0vAuscOGhDe8BlgheKQBlCYMOtxqbJNT4QVzkIw36EAYHFmGAEAcJBGdp1R5GAh3Wd6iMU7Tc6/GmEkEDJ3C5M2EVGai9Yj1xcMVD+gIIQWMMCH1iHDzJ5Q8d1snxrzAEZkvEPcEwgA+oigT9qpEpWCkUXSzxetGKJkSjSUpAXueU/7pFFe3BxcF70pSNx4AZmRAVoCknmMtOIQwc+UyHpiOY0E3IPXkTkF9tcZTc7cg9BGEIs0fLHOC9Szg/qbZBWJNWOCHELd76ugFppBy8gOlKSdgqY4HqBOaKVT2OU1FadMscvOgW5kgJUmtFCR69egNCS9jRa9giG8FITiGf8YxhHHcY/pmGAETxsISAogAQONQxoNCOp/wDBASLg1KciAALSQGpS+VAIQcigARKIxlCG4QxnXNUua4VGWOU617k2QwhiQMEKYiD+12YMwQwzoOsw+kqGGoS1rUftqxgKS1e7gmGxSJVGoV4Ayr0G1rJhtWrX3PGH6TDxXxuUJSD5dc6F3LJT+EjNINBSCz9+JIVY8UdIfTrbczQjVtMYKUtdmiiYyjRINCWpTZMBUYJGxAaqnK1PgfpRYBEPU3r8HGjJOcuK5u+iFXgaRA2JqtZ25LVXia1Ih6IOlKIjuixlpqL8EdPYsHFLAS2dP3KqghNwE2HLDZofSrIxW6zMGgd44nRFmzfrotOKe/MDIWQyiFisrBvZ2sh3rRJe5nqkZivgakLQu08trVemCXHvJ6WZEXYUaggJdS1+ZwYveRGsYADgwDsXQtH+QILwutbt1B/2a5KBvbheGmifdhqpFQoL5RdRgUH4NoyzDrMXxJ58HHwxYo+GtYAYMVPxxXRMrP527AMF0IC+BOy8GlvUwNiNb4IX3OCOWeMBGZBx6YaclSLvpB4yGsIQlKxMTuIuZx5uL5ShOWISR+UFWA5GhSkVMJMYQo8YucYBwhxaMo/WxmcuMJCkdpJUYUQcEYCzRiQcM9kG5cJhy8iSN6kdJ/8jxFEm9JSVAbz7JnpmCSJEIOI2t4xEetJjluKlS3vg+M7jLItIyaYu8ulQy2XOsC21SI4sq3nuWZ9MVm+rXz1ogU55GV+IiDlQmOVu2aOhuPgGAgIMaUn+i3mi1C1zphUiQv1xwwERgAQhirpsUMdZIaNGWLRBcud19aLaqeZzeln9YVcL+p9S9rYXDD1uWytMx32gR7rXfRFfu3vG8La0mYeNZiramwIJrg6/m03FZ4NX4B/5xeymAUxr91l8f9a2w0EMcfOVQZgqSKtItFnxbuFaFxFVd3c7Tulgi3zexMaIyb/BzoUw299CjieRX96RaQON5gi/9qqBlHN/7jzWPeeP2oRO7laZ2xC4uAfSN76QpQPbnMJ+Osmj7gAKgGMXh9x3Qqwu6pZPeOsbKYeMXsCOf3wdI6puXLYZvu2Hn513y1AlO6JiggkEWS5sp1QfDPGHefD+Mekaqfu7B0y6jNB77333Ry4VMnhnZ53Oh9fI71BwT8dfBPJ+bvLkde5qnl+em+tAwQkMYKIUE71VRofl6Xvdbqbf3ekJcf1FTA4Of6zTEFr8B+1Zbntoi7cpLBSBAdQFAcdEwBg/sOHjE85hyQe67MS3/A6XEYbEDOAoJKgXBTCiCAO9M2Got4s7oNA4paM+u6suW4I67eM77vMHjboFwes3wiM/lzM/niGO2wA3CpIj33CDoJK/sIu8hbM/HTK7bruIMMKNAoAAFXiAORKDIxo6RcMR0SM9UllA1GtA1as0AoNAvZNA2AsSEgq/DKw9HQy4DnQgN1AGZhimBwj+AAOQj0s6I7CzuRPBOeG7P+FqIxz4gv0gBggYABNAgRIIEIf4BVErQCnRhUIghKNDEheRPnb7NSFsOnnDvghciO3jFCz6PnsQv+gpPFKDwk4SAmmIChL4AGuogKpYhx/YwhPswtwBtCcLw+JTiEcKA2UIPwnQAHBBgXqokTB4w89zvjPBh3NLQIX4wenbw49bvVpqPUBUCEHkFAs8RDnbQMNbxH/SATdAKcZbiEq8RN+bP2xTQU5kQfxzwYUARVFUCHMoAVlJxVWkojjcwdErveWZRT30uA4aQta7MY3gRU7JIFxgwvFzQhTCvYY7A5l7PEtEI2ZEQeCrP2gUDk/+TIhqfMEQkYb948bo8Ub0aAfOQoQ6vENZzEOOC0JbPEdcTMeMWMcgIUTVioRZsBp4fI15TAfbUoF78j185EKFGzswjEYxzAiBdJSIMEg4bEUOGRpMEQuMGEeJrEVz7MMi9MN/WEdO8R9U+UhgjMdtmcd1OMZUQ0lMVMlNbLhOzL+AxIFQ5BmwUUWaTErL2LKNuQX/MoC5U4jUo8ifzEUjDMQJjJ5aUDBqYbOOqQZf6EqemMdfYAEWMMmTXMZkbEaxk0rKa8ExxEqegQg1OMjSScjnYLGTmBcfA4AO8Dyz9EnrC8rsW8u+wwj9EphKgMwM8DwO/KhgGIgk0whlzEf+v9zHmwu+FfzHqmy8q7RGyZERFkhNxazJA/lKk+iKlfmyDbi6f6DMP6pI0sq7oBzKhHDLNfMvCDCPw/sWFRgCITgi1ExJ+nvGqWxJgIzNwsQIdMjGQ2PFurSLfeCRk3AoZVsIazAA4ATCniROtLzI1wMHjKCHjDmJPzhK9KizhVCGiCAC6jzNp9THTPxC13wv2ITJKUuGWAmebsxN9OCDvxEER4AEGXCrhQiBApiADEsIqJKqjADRqaqqq8qqrdIIEPAqD/0HGUgACNhLhXCGSXgEZCMqDoGrDP2HGMgrGBgCN2gGjeirM5iBjOirvxLSISCshDiqtkqIxKoBIRX+AseS0i+IUiOtAS8giMBTCMTSUQPJBTrchW8wAGvoLvZ0T1osx/i0TKBUR7bMiG54AAmQhEI8kP78B1/olWlQBx0QUKfsS3z6yxRcSQQVsWn8RNk8m2WQuHCBUPLUCnpYk1y4BzI1U41A0+Aczn+gsZC7TF1MiORUCDmdgGAQhEKohTsVuHoIExfwBS7503sMVA0bVH7MTsGURsKcTfMJg2JQF/H8t8WsjH2Al1SJqDI90/bU1ImszAdMS+SEU4wg1W94BkIAHP6MtjvLS6CB1eokUNU00CajASxQAu1UiHYoAiz4ByzAgi1QUEVVCF/QAnbFAi1QRXOAiBGQAGD+mFd2/YcsKIJ/aAd6pVct+Ad0IFgsWIKBkgGCzYKEsAd6XVd1FZa/KT0XQVZMVdb3XFNOBTkifNY31cw4fYAJ+AZ8ED0fwVbzE4ZCuaduHdBZ/YffY81sG9dyDbFhYFcpcAIsyAIoQFSr9M48zYKCVUV7oAYUeIABoAAtyAImMAIkKAJxawcoMIKrfQIskIKDZVcngAKfLSpzYFctUIKxpQ12vVojKFKFCNNC2IV9SAhLTdY0Jcfqc9b5PML6JFmTbTyqew5/6AVmAAYRACLAAAABkIBjCIJY5cvbpNXV9EJxJVdzbbxxXVh/0Fmg1VWNqNcv6L97sQIt0AH3iA3+dEACoBhYLSgqUqkHI8CCKDgcnwWSevBZbfLX6JoHQjAESpXFjM2ITOVYu403N8XIaL2IaQWSHSkEP4Bb5zgHHfCNMACMAhjB23ADYIhZx53ZWq1ZVrtZykXXycVcLNBcheDXjMCCJ7iIei2OIaqXKyBYJwAK00VdrYWow2kCLGiC9WLXIziHeZUC2yXYfXvFlFgbudVYuuXJjqWoYTiCq+oOaTgCJiiCXhg5aB3ZhcCHZ0iCKUgCbrCHGEACJ0iEQbgFGVACKTACcWiGI4ACJXCGFn3hZuiJImACJqCBc/CFImgCJZiB7voHN0gGZlgBpQ2AAwgBYFgGIXAD7Z3+2W8VVMjVRHP43pzV2iJ4BnYtX4aQgRtmAijQgidgAh9eXy3wAjOMAHuhAq3t1yY42NNFBynAAvmNln3ghXoNknuABofVyHrNWn/9h5Sdh4tA4N/dWDW1WweG4AWwACTQIxqIAXH7Q7XcReNl0hlQDJN9hhngBXvgg3kNYykgAXCggRnoYhpAB3MYBhqgYXNAB3voBUh2ZXwIBlbmiGaACEiUxKrghSBo4uy9Tmccuyr2JGDoWYLd4otY0DL+AlEcB1LsDxjdFC6wX/od2ACGKLHFgiMIEm3+2bH9HHyY1394Bjp0B/opZIwAXkR2QEWmEwpAAmfwhxiggTLBzEr+zmCFoIGonYII8AYaOIIjcAIjEAQt6GEpiIIYMOUZwGGVqmUa7hRegOROAQYaiGGNWIOBmAb1TIhe/mVA1V6ajVybndxtQ4cZoIHMdcHzxYj0ZeZdNQdwaQF0+AdqDmDTrYeGxWaTYtfT7b4sNtiEqF1S2YcYwILp2F180EnfVedDrtt2fuBnQYJILgIj8AWFcIIpiIKgo0+MAGgZeAAniIaq7oVnoIFnQAItUC0n4INnUAItWAKIfuhOsQeUbodupgEakGSMsAEikBVkXAiPdmLrhErsHOaShrJOYQfXTWZz6OIbBmMxJuOF6NxdPZyocIGarmYkGNgsoIE7GVj+cqXrcTVYf6DdLPgXfNjahDgEjUjni1jnp+ZDIHHnfqEGI1CCI6jn4xRZvb0IGqiGB0joIpgBe/AFGigCJUiEf0gELEgEKJiBGVACGviJue4+GSgCujTtGSgC24tOFxCGjBBsYC5sYV4vYt6ZYdACKWiCotWCMQja7oRpGoCCr63XI/iHXiDff7jjLJiCfoWCN75mUkFYrU3bGNZmsmXXLLgHJiBfJShait0IaygAMy2pTC2pjiOp5umU2j4Sezhr9czqre5tjDBragjraFDof3CGvF7XiU0ERTDlJKCBXvCHub6HGCgCYAiSnK7gh1yI2oxRhRhvkA5mwKRixE7+bwmXAiV416GVV8oOcP0O8Dv2V/KNDSboWSi4wwInWIO1B9el1yyoh3tAAonFgrXtiM+4cGXN8Hbb8NDp8KjuFxlAAiaYgbvm7YwQAQdQgCGvhxlYgilAAm+g4iVQgme4hyJl1+VWBPVtgmfYB7eGAieQAWFAAihgAkd2BiVQ3yOABoy4B2o4AcsRb18ebCh+3HDtR8o91M01jBtoZggihhRQA0r5gAGQzDYHzjcPszgPmU4Z3pAt3nxeCOR1lyKX1ZDm3pG+1eFzSYxY5i+RdctWGAqXzAReVvj0WNG6qqxGgsTc867e229QGGVv3CMnVEADBibACC0I2MqL72n+v8ZqZxts97zYXmDh9VTiJXdpLVlzT3ZUJ+8CjUr2qodnaAIo2AInuGEjAOxcfUl45Rl77xp81/bgdcBhx9vM9O3jDfhzJ3gjL28kZ8nXnHeKf0GLDxqMN2QFpjtmZdO7xbQSL3eR/+hlV3dbLVR/TNCUH1pqn/WLL4Bsf/ltZ+CPRceaL/aPP/aQH/icT/eSX3ey284nt3aGYPmZcfmmhvmylPluL068m2QMdvpRhfpuQfdkVPXtleID9flXn/igr/ehb/miz3en3veN73di/3eQ59uoT3WZFekpPvmfh/WKt3uux/uMZ+fZpvkLtnmAD3y1H3mdp3qeD0xo507+etf6xb+YrodtvY95bu9UkO14fD77hEB2y5d6tif8Zjd8Q4U1oM/6w9n60G/8o9d4yOd4pv/7p6/8YFl7fGr7wod7V6/9xF950L/23fd6pOd31Af+vNWI1if+y596gzfszadK22+K3FcYERiACmDRDe3QFI0qDx1RJi3RD9UqFlXRr9IIF4VRjZiGBXiAIaeUZnADNQCIGf8GEhzYbMgZgQUNDjGjcOG/g2RqDBw2zNkwhmIoQowoBAxHiM2EfAm5sNkPLyY7smzp8qVLawU6lGNpzcAGciyvHdAwrmO2BBnEDfTn65y/gdoWXAjHchuDCk47cnNAARzLbg8mfIP+6fUrWF5B3BRjue5Hm7IQ1/lgY4ylOh5q3v7zZ+5X0n/pdJhBxjJdDjLJWJ7DEUYZS3M3viAG6/hxzJk1O97MubPnT4hBhxY9mndp06dRp0KsejXr1q6QVzsWS9YsWrUL2bqFK5euXbwD9/b9G3hwx8KHEy9uzPq4Y5k0beLU2ZGnT6BCidb1rJQp6YVQpbI0jbWjVq7Ix7d0LXt27I606UKMO7fo3by8/XYELJiwYeMLFTMm7z/ycpQ1d1l0mk3XGVLXhdbRdtkV5B1q4v03oXmwpaVeW+wt5B5u8e3GF30Q2QccRMLpVxB/J044oXKTQVSZcxBBl9lCm1FnVIL+/4DmIEENdmfVdxCFp9qK5FWoXnprZWjbe3V5qBeIvt0XXH7E9VdkkS0yZ9lzmEnHWXU57igad1QBGSGRWB535FpJzrZkRxzCpxuUvdX3G37DdZSimitqKSCXMnppIJg4foYdmTwOBCF4qfWJHJvoXahkbXHeNqd8Ud45ZYlV7lnco//9+eKAXRZY44FhHrogRD6aeVqjEoYKWaQFnTXpm5W2d6mTdM4nJYkLmWilirNCNupCMBJIY0E2Iriqov+4WtqZsaZp7Fe1EnTredvCuWuTuWVqp4h4UqknRHxiexyyBSlrKrMEOauqgtFOuxCjQjq6blhjdbutm7Z+uyH+r+J+SO5CI+ZZ7D/q8nusZFvGuNCMX95onY6IMjjaj7DqK+vDL2k7ELcY6kpwuE/+ummwBQ376ZUhJxcxoBMXVDGhF4upcascvxrkQkPKDNPI/5RMqYYFydnruCEmbG6n6O4H6tBgtUvQu4Ke2myqhtabaMdAFyR01eX5a+G/Rg+sdMEqa1oup8J6mi7VZcN09UBZUzwoqoViPObGZVLrcdD72g1R0UfnmjRBSxtcp9MFKXwuww4f3hLe/+h9M99c+70zq9r5PLjYBJF9eUGJB+ztyWyn7OvbT8ft8txTx4w6ZTSTGujeW8vb9d88iy44vtV+fC3qquMqcOuNtw3+O8KSQy231CjWjfuLuidbqtbxDjSv1xmHXtC9DxpfOMi4K5/2ekx2CH3kBE0edeXXY++u9u5y37v3/4Af/Ph6NLriEW5shsPe+kzGuIE4zm3Rk9/0aFc9gljufljLH9b2xznffQ94oLPXAM1XQNMdUH1nQ9LyWLfAfzQQfsBaGLEsmL0A7c5mBMFZ33QGLbD9DE0yTCDS3Iepg8VvNxEkyMvodjsZag6DedPgDTv3u8/tMHDRyhf6kHc5IC5OiEwj4gspF0MmXpCG2+PdBvv3vw/ykHQ+tCAXmbfCFjYtjPQbIxmbaEb9oTGKHPSfB6vYM+KJsHQDOR0CT9imFJL+bG3Oe10dWQZDmDEMe5nbnB/VGMivWTFsb7xfHFXoxcetDG4tQ2LtrLdEGYpgABWQBktCUIAJwLIjICiABGq5kFvmsiLQaEZG/gGCA0RAl7tEAASMWRAZJAAC02DJNBbwgGdasBluUMNDToKQbBLkIA5hiUQ4YhGMaGQl3fyIOQ1CknRGJCXstKQTNQfFgeDQczrk5CCveD4Dpi95ipQU+xzJwOdF0pSTVGIlcXfJef6jnlO8p/hASEiCYJGfWjxcKBvZvIFCEoySFCMl85i3eGKSnlLsIBXxOTx9jvCQJfTna1AY0I2ykKAeNShIESpSPbrojDY06R/XKMiVetL+Wj/8p61Wp9E52hRydqRe/VZpwYX2EaiaTGlE20hAQ/4DkSaM6SJnytSOOvWjdwypSKn604aeFJBYBVw+i3q8o4IVoAocpQOLqJcjDiSJtkso6tS6LIs9S6XkCyFF90nCfm4RqQBjpNpoSsebyu6UfU0lBe0nQ8HCi7D0ymone2hUODqWZEqN7FjfV9DKHvSvO+Vs9zwbPrgSVbRzJW1dkwrZ9lmKrKVkbU5dm1aSMtShKIUobQ870UUp1qWMxWhpjXZa3oJLtZSV3uxQOcGBVHCzxK0qW4O6SdDG1bZZpGvapLtbgdbUt7HDrmX/4VdVAvZysOWfbAEoUZZy1av+ME2v4uSIVxeaFap4JON905hfNobWjaMFZXQDLMreWresOD2rToe7xwyC17huRa7wlMvfTyYyt48V64BXC9/W0ve1312rh4VqWAEu9x8VXexF7ZZR1Kb4uhDM7mW32zDNTvXFg81ZYclbWwffFsImNu16JdvU3644uC3WcE/5COO2yljJIpbreXEL4Omyd7IWBi6GhZvHBGdywUP9snktil603ZXCQzxzldN85TUbubNI/mxyaTziB5d4zFFO7Z2p/OP4zjezUr0fm63q5hkPpHyJbWlXX9rYJ6sXxXb+Ip4XzWJH1/dwkQ7vVUEcwEojlrmY9u+mDe3p6ib6vaL+tjKpXbzhJ3aYy+MNNKtrfGPn5rhsO6YuyiqsaCMCWb6Y5S6RId3n2P55tiEWNJjlLGY6B/HTpLQ1sxn97CE/Gp67lmevxfvWawd70E0uNLe76O28PlWCUS213TwwAApkgyUemCU2WPIBXF6jIx8wgASscUhqVKMbA/kAMRVucGRKHCIfaGbFF/IBaWYcd8u45g1YsgwhpCHkEFGGEMxg8pMLgQwmB4YxmAGMgSQjCGJY+UKQEQQw4LwgxwDCF3pOEGOkROg7PTrSk670WWXDA9dwOFA+YA2oa0bqVC+INqy+8IYrResdybo1uMESsIv961Iv+/2KsYxlpFftN0hgm9vbvoy3DwTmMh9I3FlSDGXQvSN77ztE/p7epRO+8IY/POITr/jFM77xjn885CMv+clTvvKWvzzmM6/5zXO+857/POhDL/rRk770pj896lOv+tWzvvWuP3owXy97xwQEACH5BAEHAP8ALJ8ASAAVABkApwAAAAEBAQICAgMDAwQEBAUFBQYGBgcHBwgICAkJCQoKCgsLCwwMDA0NDQ0ODw4PEA8QEBERERISEhMTExQUFBUVFRYWFhcXFxgYGBkZGRoaGhsbGxwcHB0dHR4eHh8fHyAgICEhISIiIiMjIyQkJCUlJSYmJiYnKScoKycpLSgqLSoqLSssLC0tLS4uLi8vLzAwMDExMTIyMjMzMzQ0NDU1NTY2Njc3Nzg4ODk5OTo6Ozw8PT09Pz4+QD8/QkBAQ0BBREFBRUJCRkJDRkNDR0RER0RFSEVGSEZGSUdHSkhJSkpKS0tLTE1NTU5OTk9PT1BQUFFRUVJSUlNTU1RUVFVVVVZWVldXV1hYWFlZWVpaWltbW1xcXF1dXV5eXl9fX2BgYGFhYWJiYmNjY2RkZGVlZWZmZmdnZ2hoaGlpaWpqamtra2xsbG1tbW5ubm9vb3BwcHFxcXJycnNzc3R0dHV1dXZ2dnd3d3h4eHl5eXp6ent7e3x8fH19fX5+fn9/f4CAgIGBgYKCgoODg4SEhIWFhYaGhoeHh4KJj3eMnG2OqGSQs1yRu1aSwlCTyUuUzkKV1zuV3TaW4jOW5S+W6CyW6iqW7CmW7SqW7CuW6y2X6y+X6TGX6DWY5jmY4z+Z4EWa3Uyb2VKb1lmc0mGezmqfyXaixYSlwJSpu56rt6iwt7OztbW1t7a2ubi4u7m5vbq6vru7v7y8wb29wr6+w76+w7+/xL+/xcDAxcDAxsDAxsHBx8HBx8HBx8HBx8HByMHByMHByMLCyMLCyMLCyMLCyMLCyMLCyMPDyMPDycPDycTEycTEycXFysbGysbGy8fHy8jIzMnJzcrKzcvLzszMz87O0dDQ0tLS1NTU1dbW19jY2dvb293d3d7e3t/f3+Dg4OHh4eLi4uPj4+Tk5Ofn5+np6ezs7O/v7/Ly8vT09fb29/f4+Pj5+fn6+vr6+/v7+/z8/Pz8/f39/f7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/jLNMgjEAP8JHDjw0iWCCBMSNHhQoUOBDBs+TBiR1ESKDMv5u7jQILZ//jYSxBBNISZS5QaGHEmkJEKRBFcKxPCv5cuEIUXSrOlSIMyYK3fyVOkwp9ChIB+GPDoUpsicIR9ADbmiT6qrWLEOZPqvnU2oIGFy/Zeu5cqzOh2aI6Jyo8yxAsOx9el25kB1Aono1dv2rUB1C1j9K7KKI03A0Vj8C6f44gN1B1L8Y1JscuGJKRSYEshIsjYXHBEy0fZvRmiC5VKIsXYxIAAh+QQBCAD/ACyAAE4AKwAeAKcHBxAICBEICBMJCRQJCRUKCRYKCRYKCRcLCRcLCRgLCRgLCRgLCRgLCRkLCRkLCRkLCRkMChkMChkMChkMChkNCxkNCxkNDBkODBkPDRkQDhkREBoSERoUExsVFRsYGBwaGh0bGx8dHSAgICEiIiMlJSUmJiYqKisuLjAxMTU0NDk2Nzw4OT86O0E7PEM9PUU+P0Y/P0g/QElAQUlAQUpBQUtBQktBQktBQkxBQkxBQkxBQkxBQkxBQkxBQkxBQkxBQkxBQkxCQkxCQ0xCQ0xCQ0xCQ0xCQ0xCQ0xCQ0xCQ0xCQ0xCQ0xCQ01CQ01CQ01DRE1DRE1DRE1ERU1FRk5GRk5HR09ISVBKSlFLTFJOTlNQUFVTU1dWV1laWlxdXV5gYGBhYWFiYmJjY2NkZGRlZWVmZmZnZ2doaGhpaWlqampra2tsbGxtbW1ubm5vb29wcHBxcXFycnJzc3N0dHR1dXV2dnZ3d3d4eHh5eXl6enp7e3t8fHx9fX1+fn5/f3+AgICBgYGCgoKDg4OEhISFhYWGhoaHh4eIiIiJiYmKioqLi4uMjIyNjY2Ojo6Pj4+QkJCRkZGSkpKTk5OUlJSVlZWWlpaXl5eYmJiZmZmampqbm5ucnJydnZ2enp6fn5+goKChoaGioqKjo6OkpKSlpaWmpqanp6eoqKipqamqqqqrq6usrKytra2urq6vr6+wsLCxsbGysrKzs7O0tLS1tbW2tra3t7e4uLi5ubm6urq7u7u8vLy9vb6/v8DAwcLCwsPDw8TDxMXExcbFxsfGxsjHx8jHyMnIyMrJycrJysvHy8/FzNLDzdbCztjBz9rB0NzB0d7C0t/F1OHI1uPL2eTP2+XU3ebZ4Obf4ufl5efn5+no6Orq6uvr6+3s7O7t7e/u7vDv7/Hw8PLx8fPy8vTy8vTz8/Xz8/Xz8/b09Pb19ff29vj39/n4+Pr5+fv6+vv7+/z8/P39/f3+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/vz+/v4yzTII5gD/CRxIsKDBgwP9+UPIsKHDhAofSpz4b2FEihgPLqy4MaPHihA/euzIUSRGkiVNSvTEsmVLlQ9RcpQJkyBNhTRrgtSo8EMynTYZ9mzyE+jOnTgVNvBH1OhGnCn/Lf3XVKdFqBel4vRQFOamfipSlLy41CKKTjU34ZImMNpVgWU5qhhkVGDEjXFxouhqFarWpP7eVa078MPBcYMJGz7ILbHRxQezNSEsELI6gU0yZ6b8b7E6BrT+RZnFufC/z8lQ/MumunRn1P+yAItNunQTBkWTnfh3rbVrglmu/VPxu6C2E2KYuQ4IACH5BAEIAP8ALFAAWQA8ACAApwUFCwYGDAYGDQcHDggIDwgIEAkJEQkJEgkJEgoKEwoKEwsLEwsLFAsLFAwMFQ0NFg4OFw8PGBAQGRERGhISGxMTHBQUHBQUHRUVHhYWHxYWHxcXIBgYIBkZIBsbIh0dIx4eJR8fJiAgJyEhKCIiKSMjKiQkKyUlLCYmLScnLSgoLikpLyoqLyoqMCsrMCwsMS0tMS4uMi8vMjAwMzExNDMzNTU1Njc3Nzg4ODk5OTo6Ozw8PT09QD4/Qj9AQ0BARUFBRkFCR0JCSEJDSENDSENESERESUVFSUZGSUdHSkhJS0pKTEtLTU1NTk5OTk9PT1BQUFFRUVJSUlNTU1RUVFVVVVZWVldXV1hYWFlZWVpaWltbW1xcXF1dXV5eXl9fX2BgYGFhYWJiYmNjY2RkZGVlZWZmZmdnZ2hoaGtobW1ncW9ndXJmeWxlgGZjhWBiiltgjlVfklBelUtcmEZcmkFbnDxanThZnzRYoDFYoC1XoSpXoihXoiZXoyRWoyNWoyVZpSdcqCpeqi1hrDBjrTNlrzZnsDlpsjxrsz5stEFutUNvtkZwtkhxt0t2u059wFCBw1KExVSCw1aAv1p8uV96tWR8tGl+s3CBsnODsXaGr3qJrn6MrYKOq4iWqoyYqJGap5ueoKShmqukla2klLGlka6mla6nmK2onaypo6qqqqurq6ysrK2tra6urq+vr7CwsLGxsbKysrOzs7S0tLW1tba2tre3t7i4uLm5ubq6uru7u7y8vL29vb6+vr+/v8DAwMHBwcLCwsTExMXFxcbGxsbHx8fIyMjIycnJysrKysvLzM3Nzc7Oz9DQ0NHR0dLS0tPT09PT1NTU1dXV1tXV1tbW19fX19fX2NjY2dra29zc3d7e3+Dg4ePj5OXl5ufn6enp6urq6+zs7e3t7+/v8PDw8vHx8/Ly9PT09fX19vb29/f3+Pf3+fj4+fn5+vr6+/r6+/v7/Pz8/Pz8/f39/f39/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/jLNMgj8AP8JHEiwoMGDCBMO9OdPocOHEB8ybBixokWHnSZe3MhRYMZ/DDuKjNgJXBUAfyiOXHmwU6lI/14aY0mToEtv/7xFMgazJk2XMGVGUulTZMmTKXmGLCqS6MKlTDc6fTo1qsSEUK1GVElxIkMOybRuFagRKochYcU6bOgVpEoO/9CqVdg25FK4cdPONajRrd9/ePPulchWYGDBg7H2PYw48UPGjR0nhPxOruTJB81ZvmwQssBwmzkP9Cyw2xDRBQOnEzikdWvUBPGmY0Drn5FZsDv/m53sxb9uvnPH5v2PibDiuIWzZpA2mYp/1mIoR8jE2r8a0w9+UyGmWfaAACH5BAEHAP8ALAoAOwBSAOQBp1JSW2lqcoSEi56fpLW1ucLCxdTU1uPj5Orq6/Pz8/T09PT09PT09PT09PT09PT09PX19fb29vb29vb29vb29vb29vb29vb29vb29vb29vb29vb29vb29vb29vb29vb29vb29vb29vb29vb29vb29vb29vf39/b29vb29vb29vb29vb29vb29vb29vf39/b29vb29vb29vb29vb29vb29vb29vb29vf39/b29vb29vb29vb29vb29vb29vb29vf39/b29vb29vb29vb29vb29vb29vb29vf39/b29vb29vb29vb29vb29vb29vb29vb29vf39/b29vb29vb29vb29vb29vb29vb29vf39/b29vb29vb29vb29vb29vb29vb29vb29vf39/b29vb29vb29vb29vb29vb29vb29vf39/b29vb29vb29vb29vb29vb29vb29vb29vb29vb29vb29vf39/b29vb29vb29vb29vb29vb29vb29vb29vb29vb29vb29vb29vb29vf39/b29vb29vb29vb29vb29vb29vb29vb29vb29vb29vb29vb29vf39/b29vb29vb29vb29vb29vf39/b29vb29vb29vb29vb29vb29vb29vb29vf39/b29vb29vb29vb29vb29vb29vb29vb29vf39/b29vb29vb29vb29vb29vb29vb29vf39/b29vb29vb29vb29vb29vb29vb29vb29vf39/b29vb29vb29vb29vb29vb29vb29vb29vf39/b29vb29vb29vb29vb29vb29vb29vb29vf39/b29vb29vb29vb29vb29vb29vb29vb29vb29vf39/b29vb29vb29vb29vb29vb29vb29vb29vf39/b29vb29vb29vb29vb29vb29vb29vb29vb29vf39/b29vb29vb29vf39/f39/j4+Pn5+fn5+fr6+vr6+vv7+/z8/Pz8/Pz8/P39/f39/f39/f39/fz8/Pz8/Pv7+/r6+jLNMgj+AAc0gECwoMGDCBMqXMhwYYMB/yJKnDixAZSLGDNq3Mixo8ePIBtQHCkRAsiTKFOqhAKBJEmTK2PKTNnSJUWYM3PqzFjTZsmdQHX29PkPZ9CjNIn+RMr05FCfRptK1fjUZtSpWKu6vIpVqtaXXcOyVBqRq9ijX0eaPQs07U22U91OXAs3p9yldZHeLZuX6d6iffWSBRw46F+6hZOSRZzY6WDGjT8ejiz0MWW7li/LnKw5JufOKj+DRil6NMjSpj2iTs1xNWuqmV+rji27Ne3asBfj7ugad+/av2UHfz2cdfHUx03X1KcP6m7b/5g33/p84/Lo09VWzz2dOdjtGK/+R/T+FvxF8eOz8zU/NjpF8uvNo5cIHzLy8SOlxwc/n753+8rhR5J0AI7W30TMFQgaet1Jp4+CnYmnX32dAVBAaPg5iB1elAFgoWIaekcehFgB8M+HjmHX4IaEXWbiiRee5pKI+0X2IowyDqhfix1OhCJvtzV2Y0Q/WhdkYkMSGaORummW5D/wFBnekYU9+U8CUranFIlTWfkPAlImJ5aX/xwAQG5bViiRSCd66CGaRHEp1YsNAEDAiQQA2aSL/9RZgIlm6pmmk35CYSGe0A3qIop//mPAmUwqahoABpyYaJyvmRnAkjxR6ZunwIEqnKjEkWqcqfftyR+qAaq6nZj+C7JqoKyxulodrBHSmqutz+Gqma+XAUuZsJER25ixiSFbmLKBMduXs3lBW5e0cFHLlrVnYSuWtmFx25W3Wen6q7jBkjusucWie6y6ybK7rLvNwvusvNHSO6291eJ7rb7Z8rutv90C/K3A4fK6G7hxEZywwZ8yHKrDo0JcqsSnUpyqpK8q7JXGTSG8scWtYnwrx36RLBjIs6Jcq8i9moyWy4bB3JbMO3ncMc2VqbwrywfjjJnO4wJdrtDnEp2u0esi3a7S7zIdr9PzQl2v1PdSna/V+2Ldr9b/ch2w1wODXTDPDZP9sNkRoz2x2hWzfTGm7NlcstgLux0y3PL5PJP+3CfbnbLfK+O9Kt0fA76z4BkTfrPicxsetONDQ1605EdTnrTlS2PetOZPcx6151ODXrXoV5Oetelbo9616l+zHrbrYyM+MuN9y94y7S/jHrPuM/Nes96bAe+Z8CvxnTvsddves+85I1+48mVDf7b0aVO/tvVtY/+2c3ETjyHzPzu/uPiNa38393mDv7f3ipFfO/qDu3+8+X/THzj8icu/u/698/+7+sED4PAEWDz2kcaAKfJf8+x3OPzNToHhY+DjJBg5Ck7OgpXD4OU0mDkObs6DnQPh50QYOhKOzoSlQ+HpVJg6Fq7Oha2D4etkGDsH3g6C6yPg93AYQB4O0If+BdRh+2iYPBsuD4g7JOLzjBg9Jk7PidWD4vWkmD0qbs8q7NGSEse3xfJZ8XxY7J4QDzjGBHbxfWFMHxKH+MX6tfF+aYzfGef3xgbGMX9z3F8e+7fH/62RjH80Yx0nOMgKFvKCh8xgIje4yA428oOPDAybAhkSBFayjJek5Ecm2UedcDKSffnkHasjSuqwp5TfMQ8qtXNKS27SlR5ZZXlUCcuOyHIuWbwlh7ajyxqRspYc6SWPeAnMjQhTTpE5Zi6LqRFlthKTr4RmLJmZEWfSUpq2pCZGrAkebhITm8HU5kW8+UtwGlOcUCDnc9S5G3bixp21gads5PkaerLGnqn+wadp9DkafoLGn50BqGYEehmCUsagyUQnQhuz0MQ0tDAPlaRCJ2rOZlJUk9OsaDUv2smcRDSUHAVlXj460pCOcp0mNeU1MZpNjW4zpansJkxZudKOzoSkdcEpXHTKFp6exadiAWpYhNoVomLFqFNBqlSU2hSmMsWpSIHqUaQaFKoCxao7waonZzpLmbp0nFzF5TNZGs6vpjOsuywnWc9pVq16FK2+RGlb4TpMtdpUJm69KV2RydC9LnOugF2rRQN715jkFa9+HWthV3JYwya2piLN6WO9KtiNEjayO53sNyv70suetJ2atStmexpauXIWrJ5VKWUXq5LGMpauFmEQTwIGI5CG2Pa2uMXtQwYTEAAh+QQBNwD/ACwwAHQAGAAbAKcAAAABAQECAgIDAwMEBAQFBQUGBgYHBwcICAgJCQkKCgoLCwwNDQ4ODhEQEBMRERQSEhYTExcUFBgUFBkVFRoVFRsWFhwXFx0XFx0YGB0YGB0ZGR4aGh4aGh8bGx8cHCAdHSAfHyEgICIiIiMkJCUlJSYmJicnJygoKCkoKCopKSorKyssLCwtLS0uLi4vLy8wMDAxMTEyMjIzMzM0NDQ1NTU2NjY3Nzc4ODk6Ojs7Oz08PD49PUA+PkE+P0I/P0RAQEVAQUVBQUVCQkVCQ0ZDREZEREdFRUhGR0hISElJSUpLS0tMTExNTU1OTk5PT09QUFBRUVFSUlJTU1NUVFRVVVVWVlZXV1dYWFhZWVlaWlpbW1tcXFxdXV1eXl5fX19gYGBhYWFiYmJjY2NkZGRlZWVmZmZnZ2doaGhpaWlqampra2tsbGxtbW1ubm5vb29wcHBxcXFycnJzc3N0dHR1dXV2dnZ3d3d4eHh5eXl6enp7e3t8fHx9fX1+fn5/f3+AgICBgYGCgoKDg4OEhISFhYWGhoaHh4eIiIiJiYmKioqLi4uMjIyNjY2Ojo6Pj4+QkJCRkZGSkpKTk5OUlJSVlZWWlpaXl5eYmJiZmZmampqbm5ucnJydnZ2enp6fn5+goKChoaGioqKjo6OkpKSlpaWmpqanp6eoqKipqamqqqqrq6usrKytra2urq6vr6+wsLCxsbGzs7S1tba3t7i4uLq6ury7u728vL69vcC9vcG+vsK/v8K/v8PAwMTAwMTBwcXBwcXCwsbCwsbDw8fDw8fExMfFxcjFxcjGxsnHx8rIyMrJycvKyszMzM3Ozs7Pz9DR0dHS0tLV1dXY2Nja2tvc3N3e3t/f3+Dk5OXp6eru7u/w8PHy8vPz8/T09PX09PX09PX19fb19fb29vb29vb29vb29vb29vb29vb29vb39/f39/f39/f39/f4+Pj4+Pj5+fn6+vr7+/v8/Pz8/Pz9/f39/f3+/v7+/v7+/v7+/v7+/v7+/v7+/v4yzTIIuAD/CRxIUGC7dgUTKiR4EOHChwMbOoS4UOJEigUtXsRoUCNHhho3Ugx5cCCGYRBJlvyHIQjKiioRYvDnEmbMmTRfZozZDmfOhDx7+hv6E2RIk0SH1oxIEmnSov8kRpXK8qm/eEsbdtRa1Sq3pTtX+nyqDSxTsVaJYguC0Sc4pUHisqWIE9yCWf6GtPpY1e6wFf6wreCLwe8/JcP8KdnLMciCl8NO+KPWgm9BJdT8xbBM8NqJL8s+BgQAIfkEAQgA/wAsOgCLAGEBGQCnAAAAAQEBAgICAwMDBwcMCwwVDxAeExQmHBw6IiNKKClYLS5lMTJwNTZ3Nzh9OTqAOjuDOzyFOzyGPD2HPD2IPD2JPD2JPD2HPD2FPD2EPD15PT1rPT1ePT1XPT1RPT1MPT1FPT1APT1APT1APT1APT1APT1APT1APT1APT1APT1APT1APT1APT1APT1APT1APT1APT1APT1APT1APT1APT1APT1APT1APT1APT1APT1APT1APT1APT1APT5APT5APT5APT5APT5APT5APT5APT5APT5APT5APT5APT5APT5APT5APT5APT5APT5APT5AQD5ARj5AUz5AXD5AYz5Aaj5Acj5Adz5Aez5AgD5BhD5BiD5Cij5Ciz5CjT5CjT5Cjj5Djj5Fjj5Jjj5Pjj5Tjj5ajT5gjD5pjT5ujz51jz59jj6DjT6Ijj+KjD+MjkCMjkKOjUeSjU6Xi1WciFuhh2CkgGaoe2uscnGwb3e1bH67a4PAZYrGXI/LVJPOWpfRYZvUZ6PaaarebbDjcbTmdbjoer3tgMPxhsn1is34jdD7jtH7j9H7jtD4j83zkMrtk8bkmLzVnrHApqOkqpePsI+Bs4Vyt4Boun1dvH1VvHxOvX1IvH5EvYBDvYVCvYxCxY9CzJJC0JRD0ZdG1p1P4KZY5q9h6rRn67dq77xx8sB29cV7+MmA+86G/NCJ/tOM/tOM/tSN/tSN/tSN/tWP/teS/tyZ/uCf/uWn/umt/eyy/e2z/O61/PK7/PfD/PrI/PzM+/zN+/3R+v3T+P7Z+P7h9f7k7f7q3Pry0Pb3x/P7wfL9w/P+xfX+yvj+z/r+1Pz+1v3+2v3+4/3+6f7+7v7+8v7++f7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v///v7+/v7+/v//Ms0yCP4AnwgcSLCgwYMIEypcyLChw4cQI0qcSLGixYsYM2ocuK+jx48gP/4bSbKkyZMoU6pUCdLkPpQeV8qcSbOmzZs4c5J8qbPnyo47efocehLoTYEhk4YkyhSn0KZQo0qd+u8pVJFBsZY0WtUq1ZtcayJVStbr16hmz6pdqzbtUK1d4Y7kGpbtzLozx5ZNaleq276AA4P9GjNr4a1C8drdSzalXsZyBev8K7my5Z2Ew8akC7mz58+gPz72fLkn5dKo+56erLmly8Srp4ZW/G9059ROZ+vezbu3772Zny59HbSybsdPIKMqtA+Vn9iVi3F6wuikqEI5hb2BRtL5SOlPIP6dWaYLT7Way6kKG99Tlh+boqqXTH9TOzRdbrjLvE18LvSru6FkW1LLRYbbSO5JZd9IuvRBUoIklXceTfQ1FR9TENJ04XzY1bcdW5wFBhxQZZ00YEgFHnZgSRk2teA/xkz4T4sSotehhfIN1aJMG3Z3Y00vtgUbYIx1FZdSJp2oixVPWABNgQUK40WT6W14IXjU/YMKIV68N5J2sgjU4ZICVVejhOV94iSCAlmAzHRPPLdPfNqhssEyWDICEioCEbLdPmE+kUc1gVpgn4SACjRonXd6BGWb0Hwk5RONBtpomhZ8oqh9+5Dp5EfxfQTeBpTIKYqi1cypp6pzQjLloP7NMZfnSXkeap6WfW4HIYSnPoEdpvr9I4qrgp6HpZdWVieKJFbcWB6feUz63rH/5LnPpBYsV8wly1TLbadMfrpssyoOuN4yjjKnLSfYSYldstt2ax8qa5Ik5Xvn6sJevreiaUWOCHr5HbfCMuKut/J+iOCa9EIDYXoJ2kqol8sdzOHFPj64Jn73/TvShRLPKHDBJYkyLSfvmTySd8kKu+Z1WhYS7z9BfnyjxLIw7OSuKVcX75IAu8zdddIxN+e78l0oyqAlLfmuk+eSFG+CHRV9rRcyE/zzre7NCatWA3adbqzC3BozyQVPKtCdFX6p8HKy3LjcmebVyKKXgWZJ5/6HalPa7cryzUvQexFvJyGfA/lR89lqjxymfKjkGJ/dIOtKENMoFVOJfu5prp99LW94eCF939kr6QrTbLh5kbvtMN5+YFmm3SSJjkfZqXZqXuhB15jezHkz4nRHuK+cdbdTX17NhcMNmGJHUBZid5VJG5z62SW9CLfc0vdbt9kPEs600tZzt/jHgW/Xtsiq38f6j4tXzN6OwrItufBmV/46TS92vrnrvGPQ+xbkFdpJbEP24dnMIgQ+9AkQdx2RUACbdqvfcUsW44McdaZ3PIRByCMbWsqA9IUu6KlLZpyozsG8IyVGFA1j9vKCCsdDQpqNJ2qoGBTtAqYlfMkwbf4feuFJMHiehuUsWOzDWb3aZ5K55UdYI/PREf/BMcqp0HDsmQnMpJMyir2HhT9UmbCwsy7seEWI7ZMQEbXkJI5B8Y0MlNHHkIVCo8EMjMrqXQWxEy88eqRzKaQZ1o5GRRqyB4Q5CsmJCvWkE4KLSu2aUqZUOKVirU87msrSjAaiwSdQ4ntyTKIkP5HHF6kNcx/LFXcQl6XCua+InIzfuwRSqvmgCld+o6LZwhStD+XtR6T425emRKqT3RJbpBQWJQRCsUjeMnuVLF+NeuWnodHSmE16pUlEscw4vaRxw2xSMnskwCLykVvIZAQjH5kt5njqW79UFWI8ciLgZCw31/66HkxUlJK6mGUzLyERbYojUAPhphiTCCVRNIMZn5wPPvIJEVWQ5KPDcAYvoklOaGBoE6A8tDg18WdRAMoXlkBmRU1zkF+MUpj/nOSjGorokCZaUuNZFDYYpadGQcNRmkjqT73xj1W8IpKitjSg9nQNSoWkFZeaBKZalClIZVPTmN3UMCPtSD1LtFCSInWj/nHJPr/Kk6MK1S0CXSqIVOTUs0h0pVU90lQjk9HZMMWoBS1rS2oq0qym9Uh7TctR26rWjg51RW8FEEWxGtaz+nWrjelqXuVKmsY29DUAFWpjDZTYwqoGsTNFy3D8Old+BgWyi/VJY45j2bmM9a9mHSTtWQ3qWbeCdqpNSe08Q2tQrW7kt8ANrnCHS9ziGve4yH1CQAAAIfkEAQkA/wAsUgEGAKMBtAGn+wME/AID+gcH+g8R+RgZ+B8f+CMi+SUk+ycn/Soq/Sws/i4u/jIy/jY2/Tc3/To6/T09/kBA/kND/UVF/EpL+1JS+VhZ+Vxc/F5e/WFh/mVl/mho/mtr/m5u/nBw/nJy/nR0/nZ2/nh4/nt7/n5+/oGB/oSE/YqK94OB63551HZlsWNKm100j1UshVkqdlgualQ1XU08VEpCS0ZDQ0A/Ozs5Njc2MTEyKScnHx4eGxcXEQ8QCAcKBAQHAgIFBAkQBhYcByEiCzwkDlohE24aE34VF4YXGYoZHI0cH48fIpAiJZIlJ5MnKpQqLZYsMZYwM5gyN5kyO5s3PZ06Qp4/SJ0/TZo9VZRCX4xMaH5dbnFud256f3mAho2Eepd3a6dnZbBla7Rrcrdxd7l1ert5fr19gr+BhsCFisKJir2PfbWfXbSyPae+K6y/G7TBDr/BB7/ACL3AC57JEFrgDyH0CQz7AwT9BgX6EAjyHQ3pLhHdNxfZPCPdPzXpS0XqVE7kYFLecFnagVPUmUzLrEDEuzfAvi/Bwh7CwxTDwxPDxBfExR3FxyPHySrJyi/KzDXMzj7O0EfQ0lHS1FXU1VnV1l3W12TX12rYzW3Rv3TJtX7IqorQpJTeopTptpjp1I7i4Ing45Hj5Zrl5p7m5qHm5qbm5Kzn4rLn4bbo5bvr6MLv6sTv7Mfx8c3y89Hz89Xz9dvz99/0+eLz++Ps/uXm/ubm/unp/uvs/u7w/fDz++72+ez5+u76+vL7+fX8+vf8+/n8+/r8/Pv9/f3+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/f399fj18fbx7/Xv6/Tr6PHo5PHk4fDh3O7f1Oziz+bl1d/g4d/g89/g/d/f/t3d/tra/tbW/s/P/srK/sfH/sXF/sLC/sDA/r6+/ry8/rm5/re3/bSz+a+u7Kem06qkw6+mtb2pr8ursdOvtNi0t9q2uNy4u927vd69v9+/weDBxOHEyOPIy+LLzd7Py9LPxsjMw8PHwMDGvr/GMs0yCP4A/wkcSLCgwYMIEypcyLChw4cQI0qcSLGixYsYM2rcyFHhGmnMOoocSbKkyZMoU6pcyfLfGmYwW8qcSbOmzZs4cypUAzOkzp9AgwodSnTmy5hFkypdyrRp0S3VkDqdSrWq1asVtahZh7Wr169gw4odS7as2bNo06pdy7at27dw48qdS7eu3bt48+rdy7ev37+AAwseTLiw4cOIEytezLix48eQI0ueTLmy5cuYM2vezLmz58+gQ4seTbq06dOoU6tezbq169ewY8ueTbu27du4c+vezbu379/AgwsfTry48ePIkytfzry58+fQo0ufTr269evYs2vfzr279+/gw/6LH0++vPnz6NOrX8++vfv38OPLn0+/vv37+PPr38+/v///AAYo4IAEFmjggQgmqOCCDDbo4IMQRijhhBRWaOGFGGao4YYcdujhhyCGKOKIJJZo4okopqjiiiy26OKLMMYo44w01mjjjTjmqOOOPPbo449ABinkkEQWaeSRSCap5JJMNunkk1BGKeWUVFZp5ZVYZqnlllx26eWXYIYp5phklmnmmWimuVku41ggQQmn/KPJKeRYEIEJtqg5FT/9pCBAAAEAsEIed+wBAKAAOLAOP3oupYwy3VAAKKAEqLCOApMGUMAJjzaa1KPhGPDPpANcoM4Bk/4zwAadekqUMv7ImDNAAKNqioI6ktIaAAEptOqqUMqsEsgefwYgAAXb7IPOrIEOAMgryvw6VCyC5DFImxKckOc/v4hjJwmb5AHIL9IG5YsnegQCzKPRFsSuLJzkkUm5QKXChx+vOLQKIH2gQm9O1OqxyUPLoKIHIML8a9Mw6AaS8EOyVDvwjOz+lUs5FQxgiCkSsbLHHnbiCWPFfeWSDrMCVLDtQ7ukcKixEqzMIsl8dTNBpgacENE2FWRKgM4uXuPrXuMYkOkAHkTUDQJHZ/AiHFDD8UY1e9mMM9AP8ewz1i1GDQfVeuVywsspy9wQMMsCKkDMT3sNdl6uCLIHBdma7RAw4FgwQP4h2cDo9dd6KePJHoJktEsneUzs4t9v3wWLIH1wnJHHgAzTdtSN24XKHpVrFDEdkgfISRtxlA61G2BXkogqAz0qCiOh9EKQKo5cIouvk0DCikDKrPFG6aVPnZcunQi8ETKsFx7gKmwAcg0kjbhCsuqs867M67HPXvvt7f6T++7/sGvJIqZwwgYnvuBl7x+7cPRKIH3AAiAwgbChzzDQS98q9a1fD7vsA6Gd7XCnO+spY3yngBcb9nEXhulhEB0BhiesBSDzcYIX/8jf9FbXP+wBUCAC5N5AvmdABP4DFWzYxDXo8ihXwM9fHWnFvYIxNPwwz3kC0eD+OGg9D2pvgP7dI2H4HmVCZFgwfXFh1yn2EIgaXkQZu+AEHTxBs/v8on7VsFwGo7fB6g3RhwHcHgHBJ75FxOkfUVygXB51OD5QsXsZeZTHmujE+LABasB7gz8EYohD9IMfgBRIIRKhiYEAMhOHyEQ/CKIJQxTij4wSpCEW+Q9A8qMQiCikQNZgOqi9QQ1tAeQm+NAHfwRyI4D0ByD4sKhI0kcZd2RcDrm4Qy+67n8/FKFAhFjGM7rkb1+DI1pgNThBVBEjj/rFBDNRx/fAEg4DgRrYdNgu/vUQl2EE4ggLOMQDmnEga4BaNKshzLMo43H9OuYTH9WKPfxhGOWEzzOjCbgt6q+aPP78IjZBKMYgcrOX4BSnQILZls0FAhnNtMijPufLV96RntOkJT5t6b/sZVOX3vsnEb+5SYH+g6BqycU5KDCAFNzCJMNQxR4IAIES1II+wGgDNAdaT2oKxJr6tCg/tblLjXrTl+Gc6UfJGdIToMwCJyUJMM5BNgi8VD6jA97pInrPm+bzljr9RwjHWEKO/iMev8sjUdPijZtN6gBc64g2ejYpAphAPq9o3iocQYlY+Mqm/8ApVj+o1X5uk4wbbagyQKEIUVgQGGoph9FIFYKSdCMBmRLABeKzjED8Qx+yoGssCoJXvVaUr1v1J2B/WhDCjgIWa1AjWSWQKbSWZK0+e/4rfCzIi11olrMStSpFwbhTjPIysKVVxCgEdz5ZpEVsZENqSZaKMqfCBxbNW6Ft64rbqub1qp/NJVe7aUKCmFYZwrBgMNACrz04YAInSOpyv6G3QjzVPZW1n0Cmu1mCdBa7vO0rTzM62u4O5Lv/QK1qz8KHmSgPPp44X/vQeFv75va6u92nfn3rU/8KBMD/SDAnjGsWT/zjwBZiwxvwGAc3UGO+DR7IfSOc1dD+tasN/QeGrfG7qAkvLBH7R+gsJFNZMpi6DrauZ/Pr4p7216sXFm67guo2saCiwBrqcZN/XF8VP3jIEi4yf2Ec3OF21Mdh2YPiLiRlzKEYyFYWMv5+s+xXI3PZu0r+8pS/8rh/xLhCZZbmmas8SzWzGLRt3jJ3kSzjOP8SzF55MsJokuP15Lme9K1uFzvI5v3+lrRw9vKh59wVZHh4zDKBoXnY9QrSSdXEe5Z0LSnd4kBf2sKF1jSNpRoHawiDXfFkSp1zAohRgxeLoljEKPga6SBP+pqttnSFCY1hgZSiEaF4xRoAsQ9cX+XJ/3gYowVBh1WU51EW7MUohE3sFPf52DkFtLKPHONm/+PZoRCGhmGhTqZ4Wsw4QYW8vn1DaChj3MMmSLHTjO69ale0b/6voZ0NbWGE93y+SGhSqNWHO8vEFZwrTy9Saw14ArzcaD73qv6RrW4Ks7vLcIT3rWWRWn9IvCiKJtdNqEWHfH1HxCR+AzUe9XGBm9ueBc/uRbcL0EynvOGP6gcb4uC1GzPFw5zICTD0Pa/vuAGYpuRHJhChSIL04xCPLEgfIRnJQWqyklpPJCUF0shHnvIfhZikQCyJybMLJBOJyIQr5aR2S3Lyb2toij8CwQdQ12QTe4Cydx6983/0fCADF/lEWV1yogPX6ARR+RCZbGamKPonNLd5dxgfrcen2tgjT/fBXzzodi/83Q3fPDAzV5TBRV0nEpTTd0jveHL7PORAT73BB6KJQBNCBjjggRaEdkAu1EAHO7hBF6DhbpWzK6hyGEIQev6gBX8r4xrM/0cXduCD8vsgB1xQCDDYMYMd6CAGWuCILDoROaH0evHAbLzpqazqyZOckcanBV1QA8tHRJmkD9bQBdJ3Ca9nfY+CfURABELQfY8Cfp3SBTrABdCwgcyQawLBflqgD/4gAzmwESZDADmjXjgBC4SwAg5AAu+FHbFgakwHB27gDKXne5D3cytGeQDIU8rwPTJQgJjGDPCXCQ2IdI8ya8Azgd5XEBjYBR5YEGogA3v0D+tQAxohNsUiWSpYE8BQDijjADFYHVfUBvugOvlSMfsXecHnf6pHfG0WhLozhMxnQsHADjXQBQw4XI+yDzPAA4I4iMq3D5IgCf6esAZOWIFCIxAYuAM5YAPT54HKwA4y0AXOsEI4oBHfwFqTggBpRRPZwFaUIlvWoQyb0Aac0AuWkAhr2CltyINXtmZZVXzrZocbpQkz0AM70AXP8F2PwgzXoAmJZA3GaA3Q0AqH6AqbcAMzUG3fF35doAX+sA8KyAXOkBDgxQ434AM9MANbEEfnUABHMwI5wQ2QNSkCYAFT2BwJFgjt04qvmIMBt4PA14P/J4e3SITjYwrXoA8DqAZ9eHTxhmuvsIzQkAU/oAMl+A/sQEP/sBWPIgxdYIXauA9ZoAX9YImbiEydqCsBgADpkBOjCCij4lbtuBwoxAbRIBDy2E29V/6Pp0dwwid0bOdqdciPHKUMW5AFhKBkfxiIhCiIWmCIkuAKXZADNzAHnKAL/6AF7BAtEvmBMhCVCBEMFWkNVBlH2OAyanMBX0gTYcgsiVILKckcbzAQL8mGOjiTkqdbPqiPJoeLmMaTMfCTfqgMwkiMmXCMyKiMR/kMWqAFbEBPaSmRyrAMXTAD7JAQzMAFMqCV/zCCcYQKgBAIFYBeYQmG3qA3h4ANLxcdawmLbcl/qAeHw3eTlvZIM5AF7GANzGAJXLAJ1gCQONAFmJCEBUlqkhAJ+9APMnADXCAHcZB9QyAH4leUAHkD3acQ62ADIdgPMdCQT1RM1qYTj3Iuef6gCaEJHaNJjyDHZ28Il/momhhFCN1ofjXAD5agBTiwAzuwh7+om7fGm4RQA+bnA0EgBEMgBEKAnEkJn9LnbwrBDOxAA+43hIbTCW5UbzbRQkx0lt7pijAZi/c4i3+2em7WeiiXebHHm0fpeYDAPklRZwu2Hd8Zk+HZf+QZh71leZimcJrGcPHWTQcZokvhYSBGFJ/WHSlqoeKJjy5qZzRAiAMRCcvmejMKezUKoq7QFG7UFJbFHT9amm4opKn5D6lgCJmwD8bIekUnowSZME66FJb5BxymFIWDQShKoWwpk6ZJk6hpkxMGo7BWfR/6KDf6pEpRTEzRCxNkeNZRpf5weqUYGpcvinAcinkDoXllmhS9wKAexhSvQDhU6qakWaiy6GeIWqeKGqZJtqSOqqfLqBRnmqZKAQuWxVfXQagrepotmqVa9mrMRp82WqpJoaNO0QvxMqnZ4aq/F6SHWp6eCqaXJ6Ye2qSkiqNEEalROhWWqh3Aao/CyqnEOqtJ2qGNmqfKsKdJcaby4xSq+g9IhB3T6pbjCWGdiq0nx6g0SqbLyqdFEa1OoQsD46utiqngGawsqq7XipPtiqzbqqzdiqtD4QsMKqhK4Qp6sKPVca5x+pb+OqTsmnChOqa3yqxCsS9/IHriOqXZMUiLZEn/sHVdNxBfF3YEMXYkC/53hGRIaXeybOdIkDQQcUdJdJdJBYF3esdIaod2fFIIKjsUmrAHWAFBdvew+qqi/AqrEyurAGuxsYaxj0oUhWcVyPCkDjsdEGuo1kqxUbuoAvuuGSuvQbEv/+CxUwEL92euSwuk/YplyWZyUounBOutQSFSJKUCm8kUu5AJK5AAI1CGovm2VrqpQUdkYQuqU5us8FqwGpsTYoMyGdC3SREM40CWDEC4z9G1iFuTirtudWurVasT4RABmZIAI0kVtGABR0MCSjuPTEutcUuLlfepx3qxjlu2QYEO5EgqJVAV25COalMBsVuhh3uhXwu1oiu2ujuwj4u3P3G6qbu6U/7RukcTvNThucqbuJVGt87buNDLu0DBhWpTuVWBuZrLuc7BvdXqvXNrp7UqqtwqvT9RColAAJp5FcHQDRhAAIjwCYNquJravaD7vfKrpFQbr0EBDJ2Ab1+RtQ07wLILt04rt7drrDH6vGRbujmxL35gtl6heNtLwK8qp7FKpxUbvnYbvQarE34aFrsQLjtWuBWcvO97wPGLuxssvh3MwD/xCwlbFlvbvibctCj8tCq8uLnrw0zqwpF7Exyrtl9BSsf7picssRisoYLGuC1MvjBMr2QhwFx7xLR7wbbLxbSqwLvrwTWhDAjboGOBDK/QsA6aHO5buxk6dDx8p6QLxP438Sjg2p1NoQyxsEq/cMfHkcdovMeJqsF+TL93+8JvLDiEo8hUoQy9EC5vJKHCwchJvMV8DMnzu8CQK8I0ocmSislToad2TMifbMboiqVL3Lxe/MennBPKYJmAwD2e7CjKIAuE1wuwHBygrMVpPMobesuSDMWoPBOWbEys7BTZGajFDBzHnK6i/MjL3MRf7MYzMX990Mlk8SiwEKE2jLwFnMNzGrrgy8ymbL81cQoF5pQmks207M4JrK0/nMs5sQe3ZyIiC7Qly3Vr9w8pe9D/wLKnZHYwi0gyKyc0+3Y3O3eAVHc7m3d7x5cjC0j9ILQKPROqdLUngs/DCra27P7NuCzPm1E4VKwcJr28tfzOKt3MYDwTuYAOJGVSa/EL6bACBSACtGDEN7zOeryuTNzD3wzIMmG+xqIBlgsWwRAOZLkAQ80cMQ2/GdzNSr3SlMwS4gABmaIA1msWtuC6pGKOWC3LEavNyczNXVzT8fzVK+G7sZUW2YAp6kgBzZHVOrzVcd3VNg3OKhHWY13WZXHW5djXbO21Wq3G2equT3zTLZELKEA2UJ0WU02WCHDVy+HX7YzAfVzKbczUMvHACUAB6bUWwtANGaAAK1DExgHaKazPo83G40vYKkHCcFE44okctK3Etk3KuN3PLP0ZSQvcjf25ob3DxM3Pk63bU/4S3NtcrFwdyXMdxZ4xCHQgani83Abc3IC9xtA9qv5ME/gaF1q71kWdxW7tyNYd2Nhd2uctGr1Wrsrd3kiMzPC9wvBM38ftGR6W3MVB3W8d3+Qt2eYd4ClRCkrhDOuAoDjQD+1yDVqQAzygA1mgD9qIa93TDGqAoD/AB8EIjf8ADTiQnzogEMzQBe+5AzRwhXrJBTrAAzMgmcJw4TywA5EpGgbe30k937lt2nvxDOzQBS5O4dFi5PxgDSNYA9l4EB7+4WqA5D+wB6iglyaO4jmwgRsoEIj1mvqgBTuglcCAgewAiDjQgYrZD9cAiNT5GT+O1Ckt2Nn9zHiBa/ww4f41JAz9gAMMpBDHFAz88AN5YEwFgeI4oE6P0gw6wBXNkANSiAzQwAONSRDKoA8+4OPgzc61LdrPreD1S9d5zi57ruQEgQwWDuUe7gxdMJSCmAOX/g+EzgN8wAe+wAzVJhAo3gM5kAMxIJmtwwxqUObLoA88oA+PAgw0EH8E0QwXzun6fcahfOD+LdcATuqlrgyn3iquzgM9UAPK7uHL4Ax+eYzX4BO0zg86oAl1oAm63inQUAPsoA/slwMrlG38AO460JjC4A884H3BIAMxIBCKyQM+gAP5Dhpz/q91LuTGre0jYQ38UsiP0u3tUu7WYIkz8AwLMejs7g8ZZ+L9g/7iXTAQzGAN/HDhtgbwAi8DWTAQ5t4PM3AD0q7O7p3PoH7dpD3k9a0SIMsU3M7nwpTpNqAGrf7qsC7rA0HoOrAPhYMKJG89zqCg/cMMM6AFx57sy97s/aOXPHDzWLzf703nNG3n2a7dfIHx7qIPkkju5n7u1pDuTc/u+tBOBLAAIODZQwQNwonpeun1kS6FylDpl45rzBD2oUEJibA7vfD4/xAKihAKqAoLjhC5kMAIqvD4ACQJieBLjx8KEpYKtfMKkC8QkvAIqSAQnF8Ji+DgBHEJiZBVrwMK7cP5rBAJkuBFfSEM0KAPapADaqAP0LAMCbgP12CJN7Dw7jLl0f7i+/ugBv2uDi/jAy5w4jfgD9fADzKgA1r5mPzw5lrAA3t05v2uD8jHDMhw/NvffsuRCIlwCbwPCosA/6nh6irOBcc+AzWOAyHY4QChTODAf826+ECIMMBCHzv+QcuRg0cOGfqUFcwiUccMfxeVMeOig8cMa8qQXZuho0eOGNb+vYQZU+ZMmjVt3sSZU+dOnj1hZiqU6Z8mov+AZtIU86jQmIWCEk1qNChMopkU1Xwa9Z9TplC5yjyqVWrXql99nkWbVu1atm3dvoUbV+5cujAF9jqVqpXMV70E1gUcWPBgwoUNH0acWPFixo0dP4YcWfJkypUtX8acWfNmzp09f/4GHVr0aNKlTZ9GnVr1atatXb+GHVv2bNq1bd/GnVv3bt69ff8GHlz4cOLFjR9Hnlz5cubNnT+HHl36dOrVrV/Hnl37du7dvX8HH178ePLlzZ9Hn179evbt3b+HH1/+fPr17d/Hn1//fv79/f8HMEABBySwQAMPRDBBBRdksEEHH4Qwwsp26cSPP/zx5SUKLfQkQwk/VEyZXfy4ww476ujEH05INBFFXy7aTiBm1DGABSyyYOEACqL5C0TX+OEnEDr+MfFEOugosUg+NFGnySb7oa6fEyxYJw0srHAiyyyhsAILL/pRpwIofVTNJEDqINLEO/TAo8iX8lhhITlPyP5lIBib46YCA66QIoorsGChhRZsvCKKKLBYoYATyFTtGU7osOMlE/3QRBBII/2njj/46aabcxwwARc770SOmXQEKMCFPrGAYQp1YkqhHSOwkEIKFwQAYIJ8omGUtGr+OLKOJFHUx5o/hq2jjjk6YUabCUIdVTlm0iiiiEKvYOGFIqCwJ6ZnzCiCCBcKZbVaKHjttTMK++gDST9aoXCPP1DxMF4+PJElkDro6CQQeTu0Uzln0DDCClsLKEAFMJ6gJyZoyFCCDAoIUNUKL8p4Ypp0ORsxSTsC2UWgbR44AZeYxGHAA1pM8qSPIk/s5MUehxsVmjQMzuIEcjhIYQyGHf4mo4l1MNB5BYOvyDjgjS3r5NJJTekUnQVKPjnllQVq+uU+Pum0G25yEW5UZtoxGA07o/G5YZgebkKegZphx+Avpol2acr0fVmPAeQMYARbqlb5L7yLhJNvOoOzMxh3DCaD7oHQ/nntoN0eaGyDy6jbbsnOfNkPqLs5AQEQaAH86n+yLnLrTs+BoIRbEFcGmHOMlsIKKuj+RyDI1X6JbcpzV+aZm6vo4psNRNVcspZfRvEXgcZZYPTS/9rl2CJBFigbClyHvRsV+BwDjdtf0j1toNueeWwkrLhiBQJOIDX5EJWpxg9+BZE3lV+Ah156mFAOHIzslQd+BUMZ2uPeb/5MJQAD0IoFAmjB+IC3u/P97iVjI0ILpPCCvQUAAtKQ3/yg4QcXbaMBh+Nf9Ej3P6vNLBwO4EDL+uAJZCDwdb5pBrWIQKtbwaAIUrgH+ZRBQcmh707POEO4XmArAWjLCSAM4WGUIYw/oChkJqSTnfq3wpcA0HQveSEHstE0P+jDhqMiiG0G1oQvWOEFCFMYFOohRCL2bnIze0YZkkAGFWThUCowgxOoEUUpNu0P1xDZCes0kC1O705hzAYymgaIfWzvFmhMI20GVrArdKEcPBODHOloviJa8B95ZAI7MPC9KHShHYIkJGHWdYc+tGIgWFzk81ToSJhAUhm/OFMf/v4lMzSqsR1XmEIaYCSNUM5xgqS0oxFhgsp4/CMY87CCFb4Ay1gGpmMt8oTzlIFLITaShQHsJQyzIRBr+KFILrJLJmeTD1phbpnNHGXkomlKauYOGl6QwhK42c26oO5pUVMACnXpvy628JHqxJrT7DDDrn1tZrIRnjbx0SNmivKZ+nzIHY9YBiZUUyDXwEIUvjBIgtaFc0XSG99K8LcUMvQfXnShOnPXiTq8rHByglZtsCkFLzjuJR11ZvlA6js8ktSkApkGn8zQ0roM7qCgM4AIalHOXZ7zi/+A5E4lqjpPRYAEl5yNMujZp9txFJ8f5V1IpfmSfg4ko1jIx0Wpyv4WYLjzneG8CDkUoFWu2hSnDxVj7nbxUjvE7CXZqMBZ4+caZ9zsC2Ro6z09qtS4MnWkJQXeR9wRBSl8Qa97VUvTAuGvP+jvL4IlbE25eFOHpjOxAomXHjTlkn9AVrKusRMwFmeFNIjPqP9Aaj47K9JpOjW0YzMCn7KgAVHJE7U82Qcd/GCNbTAgi68d7FZly0sw6nQg4IDABoTkWN+ilTWj0getzjCwzB71rZytYFNBW7l2MIFsWDAA/JR23Z38wn7+GEZ3vxvY8BZ2toe1bTZCi94NoAJYnuhtZN27GoE0Ix0DaIEVXDAAAbigvsi97xChKVd+Ope/RABxFFywkP4HSOO0BLbJennxDwXn8h+wFe9CH1zb8t5WIBTWRif68IdqtHeyp1FGM9BQhIJZ4YE+nMJGNZtUFS+VuXR1sUAGFq4WvCAKLXBBEZpgYxzrJLvbfUmPCQJkB5MXrOY9cnq1gYz1YkPDTzaNMpxhBiU4kIEKk0I93LrZLi93rqcMc/DMgIQyVKAAf1LBGZhADUC3GSYGpoMqhhFn7/qYzuP1ak6NrAwk/6N6dODEn1sjaDSsDwsnMAfPwpDoRXO5jizW71MlrQRVpsCPXnDHpjvdZn8AAlKA8AdM1HGAFPQDSPz4B40usI6XAGnaVIqJOhBAJSBJWwEV4Pa11bGACv686h+boEMe9MCHTUSbNfxgRxmy2QWYsOMKTUhDuf/hbyakodv4/oISDN7vhAcc2y9hxxeQYPBrR/wIC/f3oZDAjod7eiYuA+f+eFzqOTcY1Q1FZ5ElfF49a+gP7+zErOMrhTPERBq7VvSWlZvfzwr7W0qAx0uCUQ8rROEJnPa4TJTRtDTZwQ+niFoCFvxjkwvZzmFl+Qa08RLUEYmineKGyUzTDLJ9IR82x3mvd17KYIf250F/STS8oFKkJ90uZ5KUHWIK1EuCN7ZWTzViV55nrXO9pzD56UJKUN0bb0YeVpiCGTQGk5vzWudw5Xlz9yuQt9ucT15Y9nWVoS+YOP4d6qArgN9K/ndlmBPlX8U64bd+OkhJ6uvnkIAIbJG5zsy8CVWY/FHTfnn8sr3nbic03F9S2S5dw+4w6aub6gBYZZQjAar3e5Bb39XXq3rwrG65qxkbM4HQogK65/1myK7NLwAf7Za3L6N/7VnN+zz5MWGGO6Cg0ucbfrXyUoWYsD7sYzDWcz3aSrk7W7VWg4lO2APd+oOS+Afz073QCj3JAAZ0MBriMgP3o7zhiz9fWzH6A7PNGzbl+4f8sxYpyIIMEDtPqwY66ANr4IYFSAewgYkB3L3sq7PAi7AJC7+X+IYIyID1AoYJPL+/GTDN8AYVkK9B80Dhgz8Uk78R/P4ySDPBzoOJ/EuCm3mB9/G4YTgwYajBGxTA69vBAtS+A4QwlQPCwoOJIdQAVPCDGULCClxCy2iGExAACBIxArCAMIhC5AJBKhRBL3u0uuK8+9tCdyACAmiBM1sIB4Ci61KtkClDHHwJHVy9NeQ+BIQ9PAM/OBTCCNCAbZgka6BAJbQuymiGJBoCF8gmFvChIqACfHi/nAvBtduntrMrRnwJKSOzF7ACA0izJahEqrIGGXQJZcjEMyRAqjPAT2xDBfw+BizFUxSG9YIsPGzFycgjKkCDlMqRE3gHMJiCbvnAKUwuzDO++kM+oIsJZziDI6g0A3AjFUADJWApqhLD6f4Lhtx5xhxEw07swe4TvDecvWzcBvqpQ09IQgvMjDyqgjPQpnTYgBOYhjBIx1xUO3fsxeP7RXmECXpMgmIjR3fgR9S6RPIZyE0sSB48OVD0PoWMCTlsSNoLBArwxsaLjDxaHytgB/LZyI5cR100RF4ENpFcRJJcvjNIAni4CGngEyxYSYJal33hLYG0QU38B06UScBDyB/MuoX8B5y8iF/QlzyYIb/4xsewq4w7AzspSnWUQqRsx+ILSXgcSRQ0SamMMnaIAibgxzy0m13og2HxhCPkSjMkyGg8NbGkyYQsy5s0xZxcLJhzywtMjLOxyC9ApIGoS48kvkbLvBK0P/6n/Ie/fBwsgAIs4DTD3Bie6pzT6wZ0OADHhEnIrLrtMywis0abjMPLvAgl0xpP6BqveUG4HAh4sIIqYIdRGc2j/Ei9XEq+bEq/hErAFAiqnIK5lM10qaK86aA5uaHdTENp9MTfTMDYG0WzRMvT6SnCiRO+GYHlbIyBiK8oGAMb+wtlmM67rE7TfEfUjEftjEqPCB6A+gJmCM9eoc0iebquOYECSCD0NMiZrEb3xMazJM7TATkT+bpuMAcKAAGaYs71Y4IvSEYA5Ui7JER2TLH5u0JFPMF53M47YYZ3aIIoAL237BWrmj7GrL4DuNCvjEk1PMjJJEvZs8xTvIjFmv5PO4jAgaAFCzjRyBCId8im52zRAI1RvJxRK0zESNPCp0zQRrSWKlgHIAURgYjBJZOXVWDM3CkHIz1PJOXNaWTPUFzAIPRQKNUQB+QDPiig8sNSFHWMX+iHlBqDMqiCL31R0txFkLxOA+1LHE3TC3IHIwAoLLAA5FkagQgG+1kFbkAA3bRTPIXG9IxM3xyy9hTFDo3Pl/AGCciAfbAfT0DULIWMcDCaMMgHSJVUoxTQ0qTRMs1CYFzNHG1EJZAHLGiCFoAfuxEIfemEXkDVGxyVOz1SsFRSDQVODgXUWv2HW80AVKSDKr3SEx2Va3A+w9hDBprFJorUmHBRYw3TAf5N1hZbVtVkzUaEsSayAgEIAAUIPkZRBlXQLkTa1lwSCG/NU3BVzyXd0Fkt1w+1VVzdhmFYL19o1zQ8KUQqjGYAFyXgExYggBiwRVy0CzCtPDGtQkT019REUKmEiRwiswKwAhhIsyRIWB/xhXZphWFwxlSF2CL91iStWHGV1T8lxUDNyY1NV2W4BmDphJB9V5IljGcgA5USsQFAABWoAioIopedVOpEVjKt2QPVVJwNRjSwxwqAIBmrtX78kF0IhHa5A/I7WlVV2oll2ldlw3HF2Kg1V3RtyKXrAz8IhEL1hF6wC3jlTLfw2iNgn3U4hw1IATAwW3yF2ULMSwLdS/5Mzc63vRMp27gLMAFvMDMsQAK8jRB/kKhNsDZ+UIcCqLaY4IcKzQBuk7YCwIB1uLZsM4BtO7hvA96XEDdy6zh1OLd08zZ2czfmZQAKUIfnvd7sBRLGqgNo6zZ/8IeOEwx26IIrsIIuqDgreIKF67a4cQL3Hbh/cziIu4KCO7iIU7iY0N/6hTiJozggsTj5jTgjCDiY8IcvMAI0+Ad+6IebiYIjGEoQidBJQYWoKQDAldhWzVDJvFiohU+NPVeOBR6Dmijk7JRy4IbKbYv9NAMHhSrPPVuiTNtjrVTrJEEstFnUzdlaewfgeYa5swLZhZDxhKnyDACqsYsNfkxX7f7Nwn3aa8xYQaXabSjhKbWDxAuAEMDPuli/L+AHupRh0K3hfV1bmvXF0y1JZ41bJPjhx7kCKPgCH6lgp7tg0CEAE8jTwOXgsITVqzvcEKbiEU7XEg7RE+6UEi0MZRguNPDPGP5ctNXXmOXXFbuBK+QHH4CJGljEhECIGgjYNn6HxIGHIvDkG5CRfbgxHZgshHCIZtDkf/ABVrYmHHAPg6oDfzAgZTiHAtBjfGViDPVjKPZTKUZcEVZc4OGFwUERyUUMeeCTJgCDRwbQMZZkGKXkM46rS340WU4ITpY0H5iIHWiILGDjgvDhxHkHIjjlVP6LaPCBHqCBeZaBi2gGGf6YZxpwZZhICFY2CX3IZ32O5fJYxnWVF1bYZV725T0OZj11Yj6N1WIWToa8k2QeCF7oBD7AAxQZtcGIBkT6BXVIqTAQg2kW40im4UkW3TEFKW62oOAhKS/wAXDuvGvIAh/AgXNW3VEeCMUpAixgAh7wgRwQFWbYB5iAZx2QyHlsiGYAHmbAgVn+z79YBoQwj1/og+nrBgNAB4jt5V9eYlZt4g7+Yx90w8oczkG26IHwBgpQgXbhVcEYIkQCVm1iBzIwadG05pTG5pWe2W3+MphmApmm6eRzhoPYAS3IUWXQB0927BxwBySI1h5oCBP4CFWOO8e25ZgIBnZoCAWFav6pVtApEmoeKA9lOJNs5Qau9uqFBmaxFuZw9eAWWocasAF/eCEXsG0tKAkks5MhrAAY0IEt4BF07YIZsAEaYAdh+IYV0AEc0BRO0IIb0IEVEK+16YIaqIEuuIbD1u4tuIbOngEa6AJn0IfppgG7sAYV8EMra6K8huQZzp3QldG/jgmX1i/CXkR2/mbWVAZo0IIc2IEe0IGIyIEb6AJ3kOABSIiFMIB2eGdXpmx5ZuoemAEhCm1aDi1hQAgWtg6e8oNd+IfV7mo7+WqGhm2HJmtiDp5r0ALcdoANyAZh0IJ1AAbfHoghxIBu6IIuKG5c7fGSEIh1aIEL6AYuAIIf2P4BHNABGRgTmLiGZ2CGZ+gCNVgGYUAGZ/iHLtiHLvCHa+iCddCHLpjg5SuDIkBZKWiBlS2CKsgrvUbp+S7jbL5h0v0H/P4sL/iHwi6ClKDsHTDnTUVnN7aTaakWIqBsHyixIjgC3LELYPBsh5CJHYARGYlqf4YJZDgIH/Bw6vAEZrwIEm9tsCafhqZYwqVGhwJwGBcjkGAHZGBAgcBJNfBxZTBuGbABLbAILtiB59aCKtqCfXCBHFhefKVyNcBudjBfawiGHj/vG6gBmXACchQABSBbsz1p+c7Xvq7vQwRsZdXvG1WGo86BxW5sx+5ngkGDdiBnRVeBNDiCvIqn//5uiJyNakmvnEufGQ73gXoej6yug33oaFE3cdcO66Xd0/WMaIFY9TDaAhyoiGXgdR1IbhkI41mvdXTtBmYAhh53cR+4AH7zhz/4ASXng5ibCWFQAy5wCSrHgSywhjFnB2vIAi5gBmYQhjL/h+HBgnRAB86V4WwnY5XudqXEc80L984b96FebAAXcAI3cASXW3e4BnLeAUH5h3i/E1LNZIcQs4bQByH6CH2/E373Se5AE5gg+IE48ddG+IdWeEdqeHViBi0o71hXBoznFcUVCH7gci4QgAt4FS6YgST5ATyYCWRgh2AXomfggi5YBnaQgcnnt5mYBjLoko6bhqCHc/5tp2+Z9fb7vkJr0GehnmWYn4GGwAGh7oEb0Ol0fpsps4F2j2chuAJ2Vmp47oHVRwhbVoZlsIbP/gtmiAHa34EZEAhhkOUeOHvwQAcCKHG2N/hST/FTf+JUD6C5FyOJX4dmmPiKv/jLpPW9x9WNRwZaB/Mi5zYusIGSL3lMgQlrYActCGNrMiBm6PGBsAYyv3mZGC6dB4hpYKjcU2ZQmUCC/xb+Qxhmij2G/6SFkVLP4EJpYqDUW2gw2pgn9CTeINNEHkaGPlT6sHFNho+YMWs4O5MEnjKGzdAgeXdQ2U4i/2Qu5OGkiA8d/6LJjJnD47OYOA7+a7ZSJQ+DwYZGS/4p8SvYsGLHki1r9izatGrHnsj181wBE7ckKit3oMRchuUSjLBFlZwCEbU8Khu3AAQtieIYeKCljJ2MHDe2KHhho4YWa8rAQdigraHBbxEubMGBQwY/dSxUcJlhIwY/ZeFa6KCxkAuQHz/s2PlqLQYOGjPYXeNCgwaXa8+60JDBLhi/GJcXAmt35czXhAUPaqc77WFEhhQtptTIkTBIkRKhmUSZc+GzMkzigVb2zIwSeBJr3nxflec79e10hDsSVddEEmspuCCDDTr4IIRmnUDACbi8FVdeHtmFl0R79fVXYIOBZhhiijHmmH/hOMBBNvVx5plEommwjX/eSJDBNv71KeMNBRdwE2GD2v3UHUMOQSTReBe9Z15HoKU3EkPsneRVfPPVd19++9mEk04ACogGgUCKOSaZZZp51jkUWngQXHLRtWGG/3joF0aACUYYiYkxFMMOOdTQBTQMqciii519xpCMNDJkI4468ujjmWgJyd1A93gHHpIVKZnRRk1+FBKUC/Gj1Fc8zCAffQdhqR9D/HG50E49fRlmpLXaeiuuYqVZ4YVuFglnh3zRmZOdIhqUp4mNeTVoiwe9eOhCidZ4Y44/PfpjrmFNahCRHn13pHialtcpeqBKNE0WPeiQA7s5zMAPqlfix+pCrvoXa4AHDVhgtv36+2+Du65pUP6bcdZ1V5xzgnjniIfpudBiyqa4YrMGPRtjBDNO26i1PXIBMEPbIlTppeBmJO6S5DppbpTtURmvqvNq2V+XsuoLJr8g67wzzwL3ajCwegm7sLGFOZwsioJSXCiMiGas6EKMVnvQo+rsLHK3DX0b3snkpXzeyuq1PKV/VaZq0Kozv/qfzQbtyzPccffrM5sYvolwsB/WGSKeRzMUcdILMcs0tP9Iuyi1jva4xdWVDklykVtn6jWnYH8q9kJSuseQ2fJm2eqW93p5M61ym346mXQTbPeveAutN7F8N1zi3ycuu7SzhmKsMeIcU91jF40T9LhCkWMaLuUTqXx5qP9o/v6ylTF/Xm/oNefrNs6oa7+9g6orU/DdHL4+7D/F9k07xLZPTGjuTUf79MZTG3St8NtxC7m3x3e9qfKWK/PkelxWNpihTWagoxmsRoe90nGvgQ4ki/fA1zrxLURhe2PYsfyWPokpjX0W053TeBe1xHUMUjrDGv60pr+JoKxynvofyzInQM4R0D4GpB4C2XY9oGTvgT78IUMiyDoNua6CQ7tg0ZBVOw4KDncfdJ/h4Nc7+e2oR9gCGQqLlz+TsTB5TCoX5pw3Q/jUMG0HXBu+ZpUzILKRe0L0FREpKKcjxg6DRkPfPwB3Ow9uBoTvE+E/pKY4E2LRcZTSogq5mKRx+f4PgGPbHBmjV8Dp/cNe1lNjGzO5vTcCrYhzhF35ZJdBPOpxfRXrIxQPN0Lfzc+K9SOepYynyBb274WOlCHZaChJG1LSkglsGw8ZqMlh8mxCKugHP5LJD2OuQyLLLEAGmskQdRQAA+tQ5j/UYYALSDOZ6jiABaS5EHUgIJzJnKYCKtBMZapjARWw2jQZQAF18COe8/yHMlPjgAnAE2TssAIU1JDPfz4hDc78pxMMyhB2XKEJaTjnPxjKBIUmkx1fUIJCF2JRjEI0ol9AgkGVadEjZNSjRngoQ/zxBSOgAZ/JVKkRsEPMme6Mk+FLGB1DaUclbjBw/xhc+wqnykCS8P53hARYFmO5Ra51kX9fDFvznjfAXZoRh2hUYDDXSNOtZsumE8QpKM03u4flUX0dPOXFQgg1orKyikf9V1JLxtRFfs2WMRRjLiN5Nl7Sq5LV++UO38bVwebKq3EEK/nEOkqylvKshNvdWgVZwisi1ZD3Q6SR5krLpzIvgHn9R+ek11df6hCThD1trQzbkKAZMayivCNjzdpEPqb1j5Etaivf6q+4ylKzXlweDMMoVV3utap+zWEaSadV1DIXSKo9mBwtWMckarCsTPypE1EpVCmukor0O6FlR4ZZySHPqcC9JV4hCdoy3vC4VwWmYJsr3wg9l7WfTOxreWpdnwL1if7bBaRkjUpZuIY3a5mdnHkbedfh6tVzo/1raZU73wk/qL6elK5OqUtK2WKXtn6MIoBx69YB77bAKTxweRlpV+GOcb1UbS9pk7vA5VK4xmhS089umjf87rS6jZ0tWj881ADnlsT94u1SEaxiMEa1xaGd5IORi9X42rjKZrFwdHOqWNgibY9BTiV32epdV4J3eIdUaiJ9m+AVN/mzT+ar2kQH3x5auc5jwTJiiXa+2F63v9qFbPwGaeRsITnNSq4rkz2r3jcbN8ZTprOdIy0RPO9Yz2Ptsikfq9ZAT/aVZ5broV2Y6EdCr7gwhrCMsyrpVQcRx3WD42ovrOX8+pjDfv6uLYhv29bvFtLMl0Uzive3ZKgqutQOjvMlJczqVVN6fJZeLKYdG1RAT1HQnv41qFOMaGKTeqqm7iWqHy3MZVu52a3lsYb5zN/s4nrIIuZ1ZX0tXmCTV9jb7my3iXvsM8o5sJAmd7ldvTpYQzfPSNxztIGsadtyWsDXnne27S1qbuNy0ewFt5TnPG6A19jc9302l5e4bg+DOcS7JnOv7Qfx3oa6lqOuuLFFi2zAmpbjAefVqzuZZdf2eMN9ZreQw0zkET/cwPVu6rDxDXNv79uq/a65zW3scQxvWb8/7vCX/6vrMev2yCYe7wrpOnGlpzfmUJ55hGcc9ZsP7HtDjP71ztGNcJF7eeG5bniRi37io4vd5RQvO9Nlzu9kq33tUhe42wluX6rT2ucjzzq1u2vtMqvc6GHf7HkX7OSLR/m9/t644Zk79Vn3XN11n/amq91pysMy4ki/d3DbbPEXY9zzUA+9fEfP83QnHOt2d/fJu07or9P78r9VMIvdzHm0p5rKuG+u7uV+abpnGvUMV73DWf9plmt77LEvduDPPniaK/v5uUe8BA9b6YNPv6en92/kxTz5lLee+xL3O9kZ7OJvd/7p5Tc/cxkTMikTMznTCUCTOGVTNV3TOWkTN4lKaoBTApKTOdXTOKXTOnmTO/VTNskTPdmT1eSTOuwTB/7+yz8F1EBZQUEdlBUklEQwlENBlERRFD9sVEnZYEdZFEi5VA1+AUm94Eqh1ELAVEspE0zJFACKHvq9XcGt33TNnftVH/ylnuStHv1tX5J1H/59X741mOA5HeGpWhIqIc4NnM4Z3BO23369359RofxZYbxV3t4Z35q9HODp2xe6l/8V3hieVvSBnNXZGtCV3NbNXxzWXxbeH2dx4dLhofiBIfnxYR8O1h+yH7RRn7RN4fVVYfZdIbbZ3+t5H3rpH6OdWsZ9Ho1NIjFVYhpeYhRmYhtu4ht24iFioaFp4SKO4ubRXv+FofOp4kyxYoZB4RpKYSzeHfblnfZ9YiKG4v4W6qLy8SLziVsqAmMmCWPV1drPkZzW4R3RLePKNWPf5aLmRSP/TaPGVaM1shE2Np7pGWO7Cd27oVwtMuMtKmLmJd/sneP4pZ0YrmMwLqHiydruEePV3VrQmRzXDVquFFqwOSM56qPZwVk/Nt+/AeQ1CuQZOuEwquFBDmI3JuM3emI43iNE5qPsTWSjhVs6YmRAlmHibaSzWWLIvaLCWR8ycqIykqTlzdLxsRn4OSJFQqI//qJLAlE7ll7vISQheiO8EZi89aSaJR0j3qEXPqIe+uJFHuUPJSXvYeJNamJOzuJO1mNJPuQ4omRQXuVQZmUk/iNXsqNG6thMtmJNFv4jLMajQhoiVMoh2PlkHf4dKS5fRVJjXGYkTKYf3KFhR7oiXoblMQLfQurdX04l7EHjPjadWxblVh5mA3mlQQoiN8bf0D1liUXlHAImVWKmSpqi7f2fZz4QaHqkaEKeG5YmPfYlIppkWiJfSoZfWzpaS8ZmV87lV3FkNjoeG+plIcKhbtoiWmKeb67l/mmmcKIicRZnYjLh4pHeV9qk7+GkZPLlafpl8anmZZZjZubhdd5edm6ScapfXTbmXX7kaN7mPApfQxKf6/UmUHZhdbInS2LnezrQbDqmfdqmLOKmfuKKQ/KddP5nI7LlSp6iexbo6Rxofdbm78lj8DGkg/7yJyj6px0OpjQW5nBiKHxu50DGHSBq4+N16F46Z3nuZnT+ZInuIj8SpUWCnorCjYYG4jYq6FgyKIjeyoPS4WqqZ2vW3h7C5Y+azoRsgDh0g5V2w4RowDhIBJYSQAaQg0QcIAaUw5X+wwlskzkshJWeADidQ5giQAWcg5UyxAkkQJz+w5WewAJQADqEqTyhQzcwRDr8KZ5eaTrsU5/qjDtUARS0Az48Kj4s6hO0g0REahW4IEO8Q0OlwaMuxDuAwUQtxKPCAxgsQUmRahJwKj4whDyAQar+A6S2KhK0FEPMAxgcARqs6kLQQxjgKqw+aj2EAUtFKbEWq7EylzicQIA5eMOVdkOymoM3cGmynkO0/s0JUGuZTmu1Wmk4XGu1Cs4JoAOzBiq4imuhdkO3mqughCuzrqu5Nmu3psO3Asw9uEM73AOk4kO93mul7iua1Wsa4KuuAmwsPSrAMtXBdupCHOyv6qs7pAFT4cM7QKyuwuo7oEFE5OvFMtWxZktAAAAh+QQBBwD/ACwtAHwADwAYAKcAAAABAQECAgIDAwMEBAQFBQUGBgYHBwcICAgJCQkKCgoLCw4NDQ8ODhAQEBMRERYTExgUFBsVFR0VFR4WFiAWFiEWFiEXFyIXFyIXFyIXFyIXFyEYGCEYGCEZGSEaGiEcHCEeHiEgICIiIiMkJCQlJSUmJiYnJycoKCgpKSkqKiorKywsLCwtLS0uLi4vLy8wMDAxMTEyMjIzMzM0NDQ1NTU2NjY3Nzg5OTs7Oz48PEA9PkM+P0U/P0c/QEg/QElAQElAQUlAQUlAQUlBQkhCQkhDQ0hERUhGRkhHR0lJSUpKSkxMTExNTU1OTk5PT09QUFBRUVFSUlJTU1NUVFRVVVVWVlZXV1dYWFhZWVlaWlpbW1tcXFxdXV1eXl5fX19gYGBhYWFiYmJjY2NkZGRlZWVmZmZnZ2doaGhpaWlqampra2tsbGxtbW1ubm5vb29wcHBxcXFycnJzc3N0dHR1dXV2dnZ3d3d4eHh5eXl6enp7e3t8fHx9fX1+fn5/f3+AgICBgYGCgoKDg4OEhISFhYWGhoaHh4eIiIiJiYmKioqLi4uMjIyNjY2Ojo6Pj4+QkJCRkZGSkpKTk5OUlJSVlZWWlpaXl5eYmJiZmZmampqbm5ucnJydnZ2enp6fn5+goKChoaGioqKjo6OkpKSlpaWmpqanp6eoqKipqamqqqqrq6usrKytra2urq6vr6+wsLCxsbGysrKzs7S0tLS1tbW3t7e4ubm6uru7vL29vb6+v8C/wMHAwcLBwcPBwsTBwsXBwsXCwsXCw8XCw8XCw8XCw8bExcfJyczR0dPc3N7l5ebt7e709PT29vb29vb29vb29vb29vb29vb29vb29vb29vb29vb29vb29vb29vb29vb29vb29vb29vb29vb29vb29vb29vb29vb29vb29vb29vb29vb29vb29vb29vb29vb29vb29vb29vb39/f3+Pj5+fn5+fr7+/v9/f39/f3+/v7+/v7+/v7+/v7+/v7+/v79/f37+/v5+fkyzTIImwD/CXz3TqDBgwcJFkTIUOFChgYdPoQocaLADMb+VbSYQYixjRMz4PMI0qDIkR83XsTHkqTKk/j+uawIU+BMhzVtpsTJMuY/fPJcmuz5k2UzkkN7Kl2G9B9MpSyZLoTZrKWQq0KmGl1ACx+RVg5XNltgbAW+ZSsYZhibcYkwfEtaIRRCVqCxE/iStYB4cEkyfDH4GlR24gsyhAEBACH5BAEIAP8ALC0AgQAlABQApwAAAAEBAQICAgMDAwQEBAUFBQYGBgcHCAgICQkJCwoKDAsLDg0NEA4OEg8PExAQFBISFhMTFxQUGBQUGRUVGhUVGxYWHBcXHRcXHhgYHhgYHhkZHhoaHhoaHxsbHxwcIB0dIB8fISAgIiIiIyQkJCUlJSYmJicnJygoKCoqKywtLy8vMTExNDMzNzQ1OTY2Ojg4PDk5Pjo7QDw8Qj09RD4/Rj8/Rz9ASEBBSUFCSkFCS0FCS0FCTEJDTEJDTEJDTEJDTEJDTUJDTUJDTUJDTUJDTUJDTUJDTUNDTUNETUNETUNETUNETUNETUNETURFTURFTkRFTkVGTkZGTkZHT0dIT0hJUEpLUUxMUk5OU1BQVVNTVlZWWFpaW15eXl9fX2BgYGFhYWJiYmNjY2RkZGVlZWZmZmdnZ2hoaGlpaWpqamtra2xsbG1tbW5ubm9vb3BwcHFxcXJycnNzc3R0dHV1dXZ2dnd3d3h4eHl5eXp6ent7e3x8fH19fX5+fn9/f4CAgIGBgYKCgoODg4SEhIWFhYaGhoeHh4iIiImJiYqKiouLi4yMjI2NjY6Ojo+Pj5CQkJGRkZKSkpOTk5SUlJWVlZaWlpeXl5iYmJmZmZqampubm5ycnJ2dnZ6enp+fn6CgoKGhoaKioqOjo6SkpKWlpaampqenp6ioqKmpqaqqqqurq6ysrK2tra6urq+vr7CwsLGxsbKysrOzs7S0tLW1tba2tri4uLq6u7y8vb2+vr+/wMDAwcHBw8LCxMPDxcTExsTFxsXGx8bGyMbHyMfHycfIycfIysjIysjJy8nJy8nKy8rKzMvLzcvMzszMzszNz83Nz87O0NDQ0tHR09PT1dbW2NnZ2t3d3uHh4uTk5ebm5+jo6erq7O3t7u/v8fLy8/Ly9PPz9fT09fX19vb29vb29vb29vb29vb29vb29vb29vb29vb29/b29/f39/f39/f39/f39/f39/f39/f39/j4+Pj4+Pn5+fr6+vv7+/z8/P39/f39/f7+/jLNMgjBAOXJ+0ewoMGDCBMmFDhQoUODGH49ZNjwoUMMOCQqpFjRIkIM/jJu5OgxIciQGg9yFFjy4EmUCFeybEnwJUyDMme2tBmyF86cHS3y9HcjWUGgOoX6W8oU3xCj/5AmdWiAqVVwEFhElVpSg0JuT6UGVehVYbYhQGn+K/tvHMEhcOGmpVl23AJa/5jMOspwa9+WXu0mU/EvG2GCf0kCFvwPi6/Gexf+LTlkAdRkKP5ZWzFyqloV1v61UEt6Gwox0ggGBAAh+QQBCAD/ACwKADsAkQHkAackIy0iITQlJD8xLEQ4MklBPE9GQ1RPSVdaUGBoV2R6YnCQcHmZeH2djIydmpuenJ2dnZ2Znp18oKVgn60tqbcNp70Gtr8Fu8AWucRAuNBSudRssdiIodKZkM6ogcnAZcPLa8LVc7/XlLTcq6bauKbUw7XXybzg0cHc0MvlzNjszOTk0u3L3fLR4fLX5/Dh6u3n7O/v7/Ly8PP08vb29fr29/v1+f3w/P7y/v71/v76/v7+/v7+/v3+/vz+/vz+/vv+/vn+/v7///7+/v7+/v7+/v7+/v7+/v7+/v7+/v7////+/v7+/v7+/v7+/v7+/v7+/v7+/v7////+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7////+/v7+/v7+/v7+/v7+/v7+/v7+/v7////+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7////+/v7+/v7+/v7+/v7+/v7+/v7+/v7////+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7////+/v7+/v7+/v7+/v7+/v7+/v7+/v7////+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7////+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7////+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7////+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7////+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7////+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7////+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7////+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7////+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7////+/v7+/v7+/v7+/v7+/v7+/v7////+/v7+/v7+/v7+/v7+/v7+/v7////+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7////+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7////+/v7+/v7///8yzTII/gBBCRxIsKDBgwgTKlwo8J/DhxAjSpxIsaLFixgzatzIsaPHjyBDihxJsiRFhihTqkxpsqXLlzBjypxJs6bLlThz4rTJs6fPn0CDCu2os6hRhEOTKl3KtKlTiEejRn1KtarVq1gxSt2qM6vXr2DD9uRKVqXYs2jTqs1Ytu3CtXDjyv3qtu7BuXjz6hVqt+/AvYADC27p1+/gw4gTXyzcV7Hjx4gZ24VMuTJeyXUta958FrNbzqBDW/XcVrTp00lJl0XNurVN1WRdy55NGPZW2rhze7R9W7fv3yd5TwVOnLjw4cWT5z5+VLlz2syNPp/eOnpR6thNW++avfvm7Tm9/ouvDH7n+POKy69Ez/6werPt4+99z1K+/bn0Ud7fDzc/Q/4AouXfWwEWSNeACRmoIFYIJrjgg081iBSEFC4l4V0VZsjXhQVp6OFPHHb44Yg1hUgQiSjKZOJfKbZY24ouxkjSig3JaONHNIJy444c5cjjj1rRCOSQwcFI5JEP+YgkkkouSWSTTgIJZZQ8TknlRzJkqeWW8Vl5ZUdbhilDl0J+GZKYXLbnpZkabXnAAWmytyabGGn55ptakmkknWCimaWeJvLpkZ135qlmmYJu5CachsqJaKIZ+fnnoXuCBAAKUUo6JqWBigRAAZhC6milHwHwD6iiojenRqaeGmqq/t6tmlGrrsIa66OlQoSqrdjJihGtDu3K63O+XgRssK8Om1yxFh37Tw3CKmscrh45+48M0UrrG7MVWfsPDNlqixu3FHn7zwsFiPubhP8YNBKtMwRbwLzpqqsbu+2e6KlDMwBQwj8G/Gvvug0myWJIpvaLwgDnMjzwtgUbrKOnCv9zwL8XP3xvxAaPVMClDqEQwD8La7wcxx23dACmDps8G75Q1VjSCwEkkKzL1aEsMXgkVAAKCRoUBMFBQHiAQ44SDm0dAjAMhAIN4KEQA7URTSzRwUuRcAAAAuAQEQQTFe11e2A3xfRDTz8lNVHWLVaRzFmVXaDcKgOgQLwPbcLA/rwo9CDR2SHToHYMbEfntkMTi+gV3QAyPjMEDODtUAkJxEA54REBTrLgQmmAwQWgX4ABB56HLroLFm13+F9wf+X4fq+TBLnk/zAAQQ2bEADD37sHPpQGpoO+AQXBX4D6222nnm9DrS+uYOwjzQ6RAiXU8I/uD0FwwMcQmOB9CSV4L/745Jdv/vnoZ1B8BRUUzwH63iePPPM6No8V9PLhH5L0D9mOO/aZ693mhLIJ4AXvA8QL3vGKxJzF1Ih+YoGABCdIwQpa8IIYzKAGN8jBDnrwgyCsYEz4N7nKXY53aOPcT2bAgc8FjwPqC54GWqADBh6HLfVj3miwhjirbeRg/g+cUJBgwsMf+tCBVTtikPRlkQQA4FMxgMECZLCJBfDNbwFMIVBaMAEKtO+FMTRdBSjAAutdTX6pS1wRmWK/kLBIZnBb40TaiCMl7saOwUli4WqiubTVpHShs0AHSmcB0I0OkIb0wAS+GDoMoE51QzzQTYKYsh7i8Yy1mdElMRmzPdKkjyqcSRhDdzwVfEAEglubCkAQgnhtYgWjBN0j0RizDtHvRJS0JRBFpMscumt5BgmhMIdJzGIa85hDO2OCJhTEW8JxIGcTyNPU2ENg7qyXt4yl8QRiSlSCQmqgWGUr82VA083ScMrsWC/zZUlnxtGdvmSd4qppMLCtc5fx/qQmPJvZund20pLAzKUu/1lNeRZUnxDskNL02E5sIjSgR/wL05wGtRwe1IfyZGKHtOkCbp4SauAUZ7wEUk5SQpQ3c8RoPg/a0F9KrJ3XhChDCWJPXLqUnwOFjzqZuDx6BvSiGErnT4cKwZMKRGlBZaa+/vPPiUqzom+0aC3ZmdGCcNSj3gwpK2cwkJLK0qiwSWkneSnVefaTnzF16UXbVdOMinWoO1UrDweaRHwKVI51baheqapGdznOrksNLNbmOjGnfhOqAs0rPNn5Dxa40JxYBenURErO4p2zgULlq1sXW0mAuuuz8+Rrvtp6y5TmU6VgfWkti1pXznIWiQYV/m1s3fmPvz7zLqBlLECb2rSnJpS1nl3pX7j4xUKeTkfdlGw4t5qvDTz2AhZggQ0gqUybyhS0apUpUYUIVFCQtq+Ddahmq8rT8aqUvD29Lk/fadP2olezC10tbsXroJ1F87DgBW5P9ymQGHSRBTQAwQdUcKLkfnOyzK0RCECgghX8dxO0vKNHTgAAn9HRITAAAgPGZpERHOt1YvsHEDrwjxNsQMRGu4gIvHYCDvyDBAMYAAtMfBW8fmRt2cuxGy+MxH+AUiY64AAFOCA4AaugmsklGeEoC5EFH1kFE5gACyLMNo8ALb0UubJGGMCCr0nkBASgAIs5AIQVg1nMFhHB/gAIYAICDGADRhPbinf4EgUMAHMIAMALHKI/B26yxz+OiZA7gDkjI/mjSv4Hkx/i5H9sogNDpnKP/iwRIDxxA06sAA48XGEcUBgAGnDiBjbsYQGwwNKXdggJuObliKQABykmwYxP/OoUl/jEJ1CApylAAhQYzQOydojYaPwYBNw5z6/qcxopjTyHBNokXsVAl/9haHYmWZXMbTKDHVIDDVhA0jUB2gg08I9xj7t2LGDABjRcAg2wGwGeRkCuPT2B/k1bxxEJcQlwEGwUj43YJ6DAhisigi63mDJ5Bhm+l/LsknDUIdV+yLWXnG1Gb9shwAM3TYDG5RJPYAQn5vLA/l/sbga0W8QMQIGuT1Bvh3QcIiCOM4kLLuw4uznGXaZ52F4eYsgo4GbK5knDSfJwag84IhNXdMUhfvF/ZBydQBE3uc0d8nSHHAIlLwG8TyDvlbcc3a3Ot9FO0OV+9xzgo+YwRHReYheHJug2GfpIih5xhyR90Uw/MsYvoPGZAA0Imd501VFdAQqnvdSn9rq9ww4RsQWb2GfHtZgDrvYS35wAnj7x250id5HQ/egQufvSqd30pyMtaSgp89G2suLTbwWpzDHsNLlig6uCwsgFMbBWW1kQJ3eV71TDGaBCJHwAkav41Dk+8okV/OWPR/nOX1bzo98d6FMfONa/PsRI/qX9W3G/+9nJPvihM/3xK0f85ncN+tPPmvWz/zTuf79o4i9/0NC//t8pP/5P9v39E6z//rcxABiA46J/BKh+BniA7ZeACgh/DNiA8/eAEGh/EjiB+TeAFuiAGJiBEbiBHEiBHviBF9gpIoiAIViC5FGBKJgeKriCkdGCLjgY9xeDcjGDNNgfMHiD85GDOpgXNtiDAsKDQFiDQjiEOHiCRggYP5iEB4KETOiDRfiEnRGFUhgWS1iFO+SEWHiEJLiFL6iFXpgWVxiGTTGGZGghVHiGVWGGajgUbNiGQfGGcAgiaTiHbFSHdqgUcpiHr4GHfLghYPiHa+iHgkiHgViI/k6xh4hIRIS4iH14iI6oh40YiTOhiJRYEpZ4iSORiZq4Y5DYiYbYhaCYFZw4ioUjiqaYhaiYilRRiqyIQ5/4ipU4ibLoiatYi2gYi7j4Eq64i6Z1i74IiMAYjEDRi8R4TRxyjHeoi8ooEsaojM94jNFIjNMYjNXoi9e4i9mIi9tYi90oi9/4iuHIiuOYiuVoiuc4iukIiuvYie2oie94ifFIifMYifXoiPe4iPmIiPtYiP0oiP/4hwHJhwOZhwVphwc5hwkJhwvZhg2phg95hhFJhhMZhhXphRe5hRmJhRtZhR0phR/5hCHJhCOZhCVphCc5hCkJhCvZgy2pgy95/oMxSYMzGYM16YI3uYI5iYI7WYI9KYI/+YFByYFDmYFFaYFHOYFJCYFL2YBNqYBPeYBRSYBTGYBV6X9XuX9ZiX9bWX9dKX9f+X5hyX5jmX5laX5nOX5pCX5r2X1tqX1veX1xSX1zGX116Xx3uXx5iXx7WXx9KXx/iTOB6TKDaTKFqTGH+TCJOTCLaS+NqS6PKS6RqS2TKS2VqSyXOSyZySubaSudCSufmSqhKSqjCSmlmSinKSipySerSSetySavaSax+SWzeSW1SSW3GSW56SS7uSS9ySS02Ix+NozCWSLBWZw2lIzIGYfHuZytRXzOGYrQGZ1j0ZzUCVYIcp3V/smM2jmc09mds8id4JmcFzKeNPGbR4KeT2Kd1KmeQ+KeUsKe0QmfP0KfVSKfzmmfO6KfN8KfNuKfMgKgMSKgLkKgLWKgKYKgKKKgJMKgI+KgHwKhHiKhGkKhGWKhFYKhFKKhEMKhD+KhCwKiCiKiBkKiBWKiAYKixoefy6mi/OGi+wGj9yGj9kGj8mGjw6ec5hkTOMop37mjkySeQIqM5TmkvMiiyNmjo0KcRnpHQmqkSqoqSFqcUXoeVfp8UyqcVyoeW+p9TNqkk/akQ9ql1ZelzUim4Wem0Kim0sim1Oim1gin2Cin2kin3Gin3oin4Kin4sin5Oin5gio6Cio8OpIqOxoqO6IqPCoqPLIqPToqPYIqfgoqfpIqfxoqf6IqQCpqQLJqQTpqQYJqggpqgpJqgxpqg6JqhCpqhLJqhTpqhYJqxgpqxpJqxxpqx6JqyCpqyLJqyTpqyYJrCgprCpJrCxprC6JrDCprDLJrDTprDYJrTgprTpJrTxprT6JrUCprULJrUTprUYJrkgprkpJrkxprk6JrlCprlLJrlTprlYJr1gpr1pJr1xpr16Jr2Cpr2LJr2Tpr2YJsGgpsGpJsGxpsG6JsHCpsHLJsHTpsHYJsXgpsXpJsXxpsX6JsYCpsYLJsYTpsYYJshoTEAAh+QQBCAD/ACxlAHMAIAAYAKcAAAABAQECAgIDAwMEBAQFBQUGBgYHBwcICAgJCQkKCgoLCwsMDAwNDQ4PDxAQEBIRERQSEhYTExcUFBgVFRkWFhoWFhsXFxwYGBwYGB0ZGR0ZGR4aGh4bGx8dHSEfHyMhISUjIyclJSknJywpKS4rKzAsLDEsLDItLTQuLjUvLzUvLzYwMDcxMTgyMjkyMjszMzs0NDw0NT01NT42Nj82Nz83N0A4OEE4OUI5OkI6OkM7O0Q8PEU9PkY+P0c/QElAQUpBQktCQktCQ0tCQ0tCQ0tCQ0tDREtDREtEREtERUxFRUxFRkxGRk1HR01HSE5ISU5JSk9LS1BMTFBNTlFPT1JRUVRTU1VVVVZXV1haWlpbW1tcXFxdXV1eXl9fX2BgYGJhYWNiYmRiY2RjZGVkZWZmZmZnZ2doaGhpaWlqampra2tsbGxtbW1ubm5vb29wcHBxcXFycnJzc3N0dHR1dXV2dnZ3d3d4eHh5eXl6enp7e3t8fHx9fX1+fn5/f3+AgICBgYGCgoKDg4OEhISFhYWGhoaHh4eIiIiJiYmKioqLi4uMjIyNjY2Ojo6Pj4+QkJCRkZGSkpKTk5OUlJSVlZWWlpaXl5eYmJiZmZmampqbm5ucnJydnZ2enp6fn5+goKChoaGioqKjo6OkpKSlpaWmpqanp6eoqKipqamqqqqrq6usrKytra2urq6vr6+wsLCxsbKysrOzs7O0tLS1tbW2tra3t7e4uLi6urq8vLy+vr6/v8DAwcHBwsPCw8TDxMXExcbFxcfFxsfGxsjGx8nHx8nHyMrIyMrIycvJycvKyszLzM3Mzc7Nzs/Pz9HQ0NLR0tPT09XU1dbW1tjY2NnZ2tvb293d3d/e3t/e3uDf3+Df3+Hg4OHg4OHg4OLg4OLh4eLh4eLh4ePi4uPi4uPj4+Tj4+Tj4+Xk5OXl5ebn5+jp6ers7Ozu7u7w8PDz8/P29vb4+Pj6+vr7+/v8/Pz9/f3+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v4yzTIIwQD/CRxIsGDBDMkMKlzIMEORhAwjNvz3UKLFgwIrXryYYaBGgv78bSTY0SPEgSFFjvxX0iTIfyFXtnQpUGXMjTMFztOoEmZPiTkFvqv48ybQhewe/vRpMejAcUWWMo3YMl7GIlijGkxJVWC8BbT+IZmFUiHXhR2/JjvxbxzbmgvPGsyg9t+UX3bJwmRotGCRBRCTkfhHLQXcwyn7RpxC7R8MxDEVW1RHQswzuImnriyYObLUlWc9b5YYeXTEzKYFBgQAIfkEAQgA/wAseQBzABsAGwCnAAAAAQEBAgICAwMDBAQEBQUFBgYGBwcHCAgICQkJCgoKCwsLDAwODg4PDw8SEREUEhIVExMXFBQYFRUZFRUaFhYbFhYcFxcdGBgeGBgeGRkeGRkeGhofGxsfGxsgHBwgHR0hHh4hICAiISEjIyMkJSUlJiYmJycnJigqJiksJiouJiswJywxKCwyKS0yKy4yLi8xMTExMjIyMzMzNDQ0NTU1NjY2Nzc3ODg4OTk5Ojo6Ozs7PDw8PT09Pj4+Pz8/QEBBQUFCQkJFQ0NFQ0RGRERHRUVHR0dHSEhISUlJSkpKS0tLTExMTU1NTk5OT09PUFBQUVFRUlJSU1NTVFRUVVVVVlZWV1dXWFhYWVlZWlpaW1tbXFxcXV1dXl5eX19fYGBgYWFhYmJiY2NjZGRkZWVlZmZmZ2dnaGhoaWlpampqa2trbGxsbW1tbm5ub29vcHBwcXFxcnJyc3NzdHR0dXV1dnZ2d3d3eHh4eXl5enp6e3t7fHx8fX19fn5+f39/gICAgYGBgoKCg4ODhISEhYWFhoaGh4eHiIiIiYmJioqKi4uLjIyMjY2Njo6Oj4+PkJCQkZGRkpKSk5OTlJSUlZWVlpaWl5eXmJiYmZmZmpqam5ubnJycnZ2dnp6en5+foKCgoaGhoqKio6OjpKSkpaWlpqamp6enqKioqampqqqqq6urrKysra2trq6ur6+vsLCwsbGxsrKys7OztLS0tbW1tra2t7e3uLi4ubm5urq6u7u7vLy8vb29vr6+v7+/wcHBwsLDw8PExMTFxcXGxsbHyMjJysrLy8zNzc7P0NDR09PU1dbX2NjZ2trb29vc3Nze3d3f3t7f3t7g39/h39/h4ODh4ODi4ODi4ODi4ODi4ODi4ODi4ODi4ODi4ODi4eHi4eHj4eHj4uLk4+Pl4+Pl5OTm5+fo6urr7e3u7+/w8fHy8vLz9PT19fX29vb3+Pj5+fn6+/v7/f39/f3+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+////Ms0yCMkA/fn7R7CgwYMIDQocmLBhw4ECHUpUSDDiRIkM/1m8mDCjRo8cC4LcGLIiQpIhQX4EmeEYxo4kMwxx+fDhxgz/Zta0WRBnTpoHMzJceLOgzqAVI6L855PgkD5IiX5E2JRgC6ArIWo9WFXj0ZVJpxrs6i/e16AQuSJdd1bkQrUU/51rK5FswXBDSjZt53WI37whfbZjQMtfkVklCz74N/jYC3/hXiQmyKDxPybBLiNO3IIBzWMb/jGDMRkhDGb/ZpQ+6KiFmGQEAwIAIfkEAQcA/wAsiABvAJIAIACnAAAAAAAAAAAAAQEBAQEBAgICAwMDBAQEBQUFBgYGBwcHCAgICQkJCwsLDQ0NDw8PEBAQEREREhISExMTFBQUFRUVFhYWFxcXGBgYGRkZGhoaGxsbHBwcHR0dHh4eHx8fICAgISEhIiIiIyMjJCQkJSUlJiYmJycnKCgoKSkpKioqKysrLCwsLS0tLi4uLy8vMDAwMTExMjIyMzMzNDQ0NTU1NjY2Nzc3ODg4OTk5Ojo6Ozs7PDw8PT09Pj4+QEBAQkJCQ0NDRUVFRkZGSEhISUlJSkpKS0tLTExMTExMTU1NTk5OTk5OT09PT09PUFBQUVFRUlJSUlJSU1NTVFRUVVVVVlZWV1dXWFhYWVlZWlpaXFxcXV1dXl5eYGBgYGBgYGBgYWFhYWFhYWFhYmJiYmJiY2NjY2NjZGRkZGRkZWVlZmZmZ2dnaGhoaWlpampqa2trbW1tb29vcXFxc3NzdXV1dnZ2d3d3eHh4eXl5enp6e3t7fHx8fX19fn5+f39/gICAgYGBgoKChYWFh4eHiYmJjIyMjo6Oj4+PkZGRk5OTlJSUlZWVlpaWl5eXmJiYmZmZmpqampqam5ubm5ubnJycnJycnJycnZ2dnZ2dnZ2dnZ2dnZ2dnZ2dnp6enp6enp6enp6enp6enp6en5+fn5+fn5+foKCgoKCgoaGhoqKioqKio6OjpKSkpaWlp6enqKioqampq6urra2tr6+vsbGxs7Oztra2uLi4ubm5urq6u7u7vLy8vb29vr6+v7+/wMDAwcHBwsLCw8PDxMTExcXFxsbGx8fHyMjIycnJysrKy8vLzMzMzc3N0NDQ09PT1tbW2dnZ3d3d4ODg4+Pj5eXl5+fn6enp6+vr7Ozs7u7u7+/v7+/v8PDw8PDw8PDw8PDw8PDw8PDw8PDw8PDw8PDw8fHx8fHx8fHx8fHx8vLy8/Pz9fX19/f3+fn5+/v7/Pz8/f39/v7+/v7+/v7+/v7+/f7++/7+9/7+8/7+8v7+8v7+8v7+8/7+9f7+Ms0yCP4A/wkcSLCgwYMIEypcyLChw4cQ60mcSBGixYsYM2rcOJCix3ocQ4ocSXLhx4olU6pcafHkRJYwY8oU6FLizJs4RdYEmbOnz4c7fwodejAo0aNDjSJdmlMp06dQo0qNaXOqVapVr2otCTLr1q8beXoFSzZiR54HA6j9pzZA2bJo/9ULtVDM27tx/4XKW9DtXbgF9/Id6Pcv2LyCB7M1TBax3LECCzPW6vgxX8mTiaLbzLlz5ccGMWcW2rk0OrQgE0MWPdqn6c78aEoUnJB165ydnzzp/MryXMiEb2verFs3Z0Ev54JOK3zoa86vqioHvrj5T87Fd282uFcuQtvWYxbm1r498Evm4Xs+L9+wLdu16WeuRxcQACH5BAEIAP8ALJcAfwATABUApwAAAAAAAAAAAAAAAAAAAAAAAAEBAQICAgQEBAcHBwoKCgsLCwwMDA0NDQ4ODg8PDxAQEBERERISEhMTExQUFBUVFRYWFhcXFxgYGBkZGRoaGhsbGxwcHB0dHR4eHh8fHyAgICEhISIiIiMjIyQkJCUlJSYmJicnJygoKCkpKSoqKisrKywsLC0tLS4uLi8vLzAwMDExMTIyMjMzMzQ0NDU1NTY2Njc3Nzg4ODk5OTo6Ojs7Ozw8PD09PT4+Pj8/P0BAQEFBQUJCQkNDQ0REREVFRUZGRkdHR0hISElJSUpKSktLS0xMTE1NTU5OTk9PT1BQUFFRUVJSUlNTU1RUVFVVVVZWVldXV1hYWFlZWVpaWltbW1xcXF1dXV5eXl9fX2BgYGFhYWJiYmNjY2RkZGVlZWZmZmdnZ2hoaGlpaWpqamtra2xsbG1tbW5ubm9vb3BwcHFxcXJycnNzc3R0dHV1dXZ2dnd3d3h4eHl5eXp6ent7e3x8fH19fX5+fn9/f4CAgIGBgYKCgoODg4SEhIWFhYeHh4qKioyMjI6OjpCQkJGRkZOTk5SUlJWVlZeXl5iYmJiYmJmZmZqampqampubm5ubm5ycnJycnJycnJ2dnZ2dnZ2dnZ2dnZ6enp6enp6enp6enp+fn5+fn5+fn6CgoKCgoKGhoaKioqKioqOjo6SkpKWlpaampqioqKmpqaurq6ysrK6urrGxsbOzs7W1tba2tre3t7i4uLm5ubq6uru7u7y8vL29vb6+vr+/v8DAwMHBwcLCwsPDw8TExMXFxcbGxsfHx8jIyMnJyc3NzdLS0tbW1tnZ2eHh4efn5+zs7PDw8PX19fj4+Pr6+vz8/P39/f7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v////7+/v7+/v///zLNMghVAPcJ/Cdw37+DCBMqBKWwoUODDiMehCjxYcWIFBUO2Phv4wCEGR1+VBiy4ciEJTU2TJnwJMiLLifCXDmTZE2UNwsSHCjyYk+fKoG2FJowDFGPHTcGBAAh+QQBBwD/ACyjAIQAdwAlAKcAAAACAgMEBAYGBgkICAsKCg4MDBANDRIODhMPDxUQEBYSEhkTExoUFB0VFR4WFh8XFyAXFyEYGCIYGCIYGCMZGSMZGSMZGSQaGiQaGiQbGyUbGyUcHCYcHCYdHSceHigfHyohISshISwiIiwjIy0kJC4kJC4lJS4lJS8lJS8mJi8mJjAnJzAnJzAoKDEpKTIpKTMqKjMrKzQsLDQtLTUuLjYvLzcwMDcwMTcyMjgzMzg2Njo4OTw7PD49PkA/QEJAQUNBQURCQkZCQ0ZDQ0ZEREdFRUhGRkhGR0lISElJSUpKSktMTE1NTU1OTk5PT09QUFBRUVFSUlJTU1NUVFRVVVVWVlZXV1dYWFhZWVlaWlpbW1tcXFxdXV1eXl5fX19gYGBhYWFiYmJjY2NkZGRlZWVmZmZnZ2doaGhpaWlqampra2tsbGxtbW1ubm5vb29wcHBxcXFycnJzc3N0dHR1dXV2dnZ3d3d4eHh5eXl6enp7e3t8fHx9fX1+fn5/f3+AgICBgYGCgoKDg4OEhISFhYWGhoaHh4eIiIiJiYmKioqLi4uMjIyNjY2Ojo6Pj4+QkJCRkZGSkpKTk5OUlJSVlZWWlpaXl5eYmJiZmZmampqbm5ucnJydnZ2enp6fn5+goKChoaGioqKjo6OkpKSlpaWmpqanp6eoqKipqamqqqqrq6usrKytra2urq6vr6+wsLGxsbKysrOzs7S0tLS1tbW2tra3t7e4uLi6urq8vLy+vr6/v8DAwcHBwsPCw8TDxMXExcbFxcfFxsfGxsjGx8nHx8nHyMrIyMrIycvJycvJysvKyszKy8zLzM3MzM7Nzs/Pz9HR0tPT1NXV1dbW1tjY2NnZ2drb29zg4OHn5+fu7u7y8vP19fb39/f5+fn7+/v8/Pz9/f7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7///8yzTII/gD9Cfwn0N+/gwgTKlzIsKHDhxAjSpz40CDFixgzatRYsGNBhBY3ihxJEqNHjyBLqlzJEuTJjwdDtpxJk+JLmARr6tzp8ObAmDyDCvUZUqbQoy2JpkTKlKVSoE2jknyaU6pVjj6XXt3qlKtXlUa/ir3oaazZiR9xnl3Ltq3bt1YT9IFLl8KQZHTfUvh3N2/bvXzx+j0LOPBgs4UNH/6aWPHirY0dP5a6YOG3vpOlJmDIDXNmpgnC/tPm+bPQzQ2zDTGNtPLBbgeHyJbN+ijgbgZo/SsyqzbTvbiTzfiXbbhv28H/MfmlvPfxoEMMCE7m4l+1Gs+j2qjmT0T2ptpcBoiJ9v1hQAAh+QQBCAD/ACy6AJYAHAAbAKcAAAABAQECAgIDAwMEBAQFBQUGBgYHBwcICAgJCQkKCgoLCwwLCwwNDQ0ODg4PDw8QEBERERMTExUUFBYVFRgVFRkWFhoXFxsYGBsYGB0ZGR0aGh0bGx4cHB4dHR8eHh8fHyAhISEiIiIjIyMkJCQlJSUmJicnJygoKCopKSspKiwqKiwrKy0sLC4tLS4vLy8wMDAxMTEyMjIzMzM0NDQ1NTU2NjY3Nzc4ODg5OTk6Ojo7Ozs8PDw9PT0+Pj4/Pz9AQEBBQUFCQkJDQ0NERERFRUVGRkZHR0dISEhJSUlKSktLS0xMTE1NTU5OTk5PT09QUFBRUVFSUlJTU1NUVFRVVVVWVlZXV1dYWFhZWVlaWlpbW1tcXFxdXV1eXl5fX19gYGBhYWFiYmJjY2NkZGRlZWVmZmZnZ2doaGhpaWlqampra2tsbGxtbW1ubm5vb29wcHBxcXFycnJzc3N0dHR1dXV2dnZ3d3d4eHh5eXl6enp7e3t8fHx9fX1+fn6BgYGFhYWJiYmMjIyPj4+SkpKUlJSWlpaXl5eYmJiZmZmZmpybm5ucnJycnJycnJydnZ2dnZ2dnZ2dnZ2dnZ2dnZ2dnZ2dnZ2dnZ2dnZ2dnZ2dnZ2dnZ2dnZ2enp6enp6enp6enp6enp6enp6enp6enp6enp6enp6enp6enp6enp6fn5+fn5+fn5+goKChoaGhoaGjo6OkpKSnp6irq6yurq+xsbOzs7aytruzuL62ur+8vL+9vcG/v8PAwcTBwsXCwsbDw8fDxMfExcjFxsnGxsrGx8rHx8vHyMvIyMzIyczJyczJys3Ky87LzM/Nzc/OztDP0NLR0dPS0tTT09XU1NbV1dfW1tfW1tfX19jX19jX19nY2NnY2NrZ2dra2tva2tvb29zc3N3e3t/h4eLj4+Tm5ufp6ert7e7y8vP29vb4+Pj5+fr7+/v8/Pz9/f39/f3+/v79/v78/v76/v74/v72/v70/v7y/v7v/v7t/v7s/v7s/v7s/v7s/v7s/v4yzTIIzgBHjfpHsKDBgwgPwluYsKHDf/AgRnxIkeBEhhUfTpSY0eFGjh0RfgQZsqA/kSM74kKZMkOyh4oSLhyZYcjLho9OsjSY4Z/NhjEbYiTY0+fNgystWpz5sahRhDpnkuRp8KfBiEynFnRK0OpShmBbIvQqlePQrQjXeT0oUCDCB0xnolPRR2ZZqgnNra3I9eC4ISWdpus6pDDgkEXTMbj1j4itkmgVJ2vxbxxlyP8ySP7H5Bfnx5CHMLiZDMW/ay8wI2Ry7d8M1QfLoRDzjGBAACH5BAEHAP8ALMoAngARABwApwAAAAEBAQICAgMDAwQEBAUFBQYGBgcHBwgICQkJCwoKDgsLDgwMDw0NEA4OEQ8PEg8PExAQExERFRISFhQUGBUVGhYWHRcXHxgYIBgYIRgYIRkZIBoaHxsbHh0dHh8fHyAgICEhISIiIiMjIyQkJCUlJSYmJicnJygoKCkpKSoqKisrKywsLS0tLS4uLi8vLzAwMDExMTIyMjMzMzQ0NDU1NTY2Njc3Nzg4ODk5OTo6Ojs7Ozw8PD09Pz8/QUBAQ0FBR0FCSkJCSUJDSUNDSURESEVFSEZGSEdHSEhISUpKSktLTExMTE1NTU5OTk9PT1BQUFFRUVJSUlNTU1RUVFVVVVZWVldXV1hYWFlZWVpaWltbW1xcXF1dXV5eXl9fX2BgYGFhYWJiYmNjY2RkZGVlZWZmZmdnZ2hoaGlpaWpqamtra2xsbG1tbW5ubm9vb3BwcHFxcXJycnNzc3R0dHV1dXZ2d3d4eHl5eXl6enp7e3t7fHx8fX19fn1+fn5+f39/gICAgYGBgoKCg4SEhIWFhYaGhoeHh4iIiImJiYqKiouLi4yMjI2NjY6Ojo+Pj5CQkJGRkZKSkpOTk5SUlJaWlpeXl5qampycnJ2dnZ2dnZ2dnZ2dnZ2dnZ6enp6enp6enp6enp6enp+fn6CgoKOjo6ampqenp6ioqKmpqaqqqqurq6ysrK2tra6urq+vr7CwsLGxsbKys7OztLS0tLW1tba2tre3t7i4uLm5ubq6uru7u7y8vL29vb6+vr+/v8DAwMHBwsPDw8TExMXFxsbGx8fHycfIysjIysjJy8jJy8zMztfY2eTk5fHx8vr7+/39/f7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v////7+/v7+/v///zLNMgiyAPft+0ewoMGDAgceXEhwoECGCxU+hFhQ4b+JFC1e1BgRIUeDHzEijCiyIKiTJyH0QQmqY8EMQ5Rt5Kgxw7+YG0c2tDlQWUmJ+3juwzkyodCbMkEm/JfB4UCiDSc2zYkUYlOHBJ9BNXgVo7OtBG0ybAZW7NghB806Izikbdu0BJ0toPWPyCyr/+QqY/GvGV+GGfT+YyJs8N2FQxYkVYbiHzMXFA0yYfZvRuSCzVCIWUYwIAAh+QQBCAD/ACzPAKcADQATAKcLCxQMDBUMDBYNDRcNDRgNDRgODhkODhkODhkODhoODhoODhoODhoPDxsQEBwQEBwRER0SEh4TEx8TEx8UFCAVFSAVFSEWFiIWFiIWFiIXFyMXFyMXFyMXFyMXFyMXFyMXFyMXFyMXFyMXFyMYGCMYGCMYGCMYGCMYGCMYGCQYGCQYGCQZGSQaGiUcHCceHikiIy0nKDEtLjcxMTo1Nj45OUI7PEU+P0g/QElAQUpBQUtBQktBQkxBQkxBQkxBQkxBQkxBQkxCQkxCQ0xCQ0xCQ0xCQ0xCQ0xCQ0xCQ0xCQ0xCQ0xDRExDRE1ERU1FRk1GR05HSE5ISU9KS1BMTFFOT1JQUFNSUlRUVFZWVldYWFlbW1tcXFxdXV1eXl5fX19gYGBjY2NlZWZoaGhqamtsbG1ubm9vcHFxcXNyc3R0dHZ1dXd2dnh3d3l3eHp4eXt5enx5en16e316e357e357fH57fH97fH97fH97fH97fH97fH98fH98fX98fX98fYB8fYB8fYB8fYB9foB9foF+f4F+f4J/gIKAgYOBgYSCgoWDg4aEhYeFhoiHh4mIiYuKioyLjI2Njo+Pj5GRkZKTk5SVlZaXl5iZmZqbm5ydnZ2dnZ2dnZ2enp6enp6enp6enp6enp6enp6enp6enp6enp6enp6fn5+fn5+fn5+goKCgoKChoaGioqKjo6OkpKSlpaWmpqapqamsrK2vsLCys7S1tra4uLm7vL2+v8DAwcPCw8XExcfFxsjGx8nGx8rHyMrHyMvHyMvHyMvHyMvHyMvHyMvHyMvIyMvIycvIycvIycvIyczIyczIyczIyczIyczJyszJys3Ky83Ky87LzM7Nzc/Oz9HQ0NLS0tPU1NXX19jZ2dnb29vd3d3f3+Dg4OHh4eHi4uLj4+Pl5eXm5ubo6Ojq6urs7O3v7+/x8fL09PX29vf5+fn6+vv7/Pz9/f3+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v4yzTIIdwBFNQD0r6DBg/5SHGl2sGFCfwsbGkz4DyJDiRQrRnSYYuLGiR09XiyYUSRIh+02lpyoLuLKieYWvpwY7khGf+sqHrTZEScAW/6a1ALps5kMf+FkgFwHoJk/KrueDtXYtGKzGP62KZVYkco2fzS4ViQXI8y1ggEBACH5BAEIAP8ALNAApAANABYApwwMFQ0NFw8PGBAQGhERGxERHBISHRMTHhMTHxQUIBUVIBUVIRYWIhYWIhcXIxcXIxcXIxcXIxcXIxcXIxcXIxcXIxcXIxcXIxgYJBgYIxgYIxgYIxgYIxgYIxgYIxgYIxgYIxkZJBoaJRsbJhwcJx0dKB4eKR8fKSAgKiEhKyEiKyIjLCQlLiYnMCgpMSorMywtNS4vNzAwOTEyOjMzPDQ1PTY2Pzg4QTk6Qzs8RT0+Rz4/SD9ASkFCS0FCTEFCTEFCTEFCTEJCTEJDTEJDTEJDTEJDTEJDTEJDTEJDTEJDTENETENETERFTURFTUVGTUZHTkdITkhJT0pLUExMUU5PUlBQU1JSVFRUVlZWV1hYWVtbW1xcXF1dXV5eXl9fX2BgYGFhYWJiYmNjY2RkZGVlZWZmZmdnZ2hoaGlpaWpqamtra2xsbG1tbW5ubm9vb3FxcXJyc3R0dHV1dnZ2d3d3eHh4eXl5enl6e3p7fHt7fHt8fXx8fnx9fn19f31+f35+gH9/gH+AgYCBgoGBgoKCg4ODhISFhYaGh4eHiImJiYuLi4yMjI2NjY+Pj5GRkZKSkpSUlJWVlZaWlpeXl5iYmJmZmZqampubm5ubm5ycnJycnJ2dnZ2dnZ6enp6enp+fn5+fn6CgoKGhoaGhoaKioqOjo6SkpKWlpaampqioqKmpqa2trbGxsbOztLW1tre4uLq6vLy9vr6/wcDBw8LDxcPEx8TFyMXGycbHycbHysfIy8fIy8fIy8fIy8fIy8fIy8fIy8fIy8fIy8fIy8fIy8fIy8fIy8jIy8jJy8jJy8jJy8jJzMjJzMjJzMjJzMjJzMjJzMjJzMjJzMnJzMnKzcnKzcrLzsvMzszNz83O0M/P0dHR09PT1dXV19fX2NnZ2tvb3N7e3uDg4eLj4+bm5ubm5+fn6Ojo6Onp6erq6uvr6+zs7O7u7u/v7/Dw8PLz9PX19vj4+Pn6+vv7+/z8/f7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/jLNMgiWAP9hePavoMGDAo8QRHgQwz+FDAt+EuDP3ws/Ef1h8FcQIkKNFTsuNKjxX8iHI006NMkRJcmVLP/N81iSJMd3EGva/IdOoc6CFTmSO6IzXseHR4iujAfg1T8mrkKWZPoMxj9yMKRioPqPSi1/VKKaPALgWcVnLvx9iwGUZUgq3/7RABqUpTkXYrTRbSm1ZUaOfhkG9RsQACH5BAEKAP8ALNEAoAAMABcApwsLEg0NFRAQGBISGxQUHRUVHxYWIBYWIRcXIhcXIhcXIxcXIxcXIxcXIxcXIxcXIxcXIxcXIxcXIxcXIxcXIxcXIxcXIxcXIxgYJBgYIxgYIxgYIxgYIxgYIxgYIxgYIxgYIxgYIxgYIxgYIxgYJBgYJBkZJBkZJBoaJBwcJh0dJyEhKiQkLSYnLykpMSwtNTAwODMzOzY2Pjk6QTw9RT4/Rz9ASEBBSkFBSkFCS0FCS0FCTEFCTEFCTEFCTEFCTEFCTEFCTEJCTEJDTEJDTEJDTEJDTEJDTEJDTEJDTEJDTEJDTEJDTENETUNETURFTUVGTUZHTkhIT0lJT0tLUU1NUU9PU1FRVFNTVVVVV1dXWFlZWlxcXF1dXV5eXl9fX2BgYGFhYWJiYmNjY2RkZGVlZWZmZmdnZ2hoaGlpaWpqamtra2xsbG1tbW5ubm9vb3BwcHFxcXJycnNzc3R0dHV1dXZ2dnd3d3h4eHl5enp6e3t7fHx8fX19fn1+fn5/f39/gICBgYKCgoODg4SEhIWFhYaGhoeHh4iIiImJiYqKiouLi4yMjI2NjY6Ojo+Pj5CQkJGRkZKSkpOTk5SUlJWVlZaWlpeXl5iYmJmZmZqampubm5ycnJ2dnZ6enp+fn6CgoKGhoaKioqOjo6SkpKWlpaampqenp6ioqKmpqaysrK+vr7Gys7O0tbW2t7m5ury8vr+/wcHBxMLDxcTFx8XGycbHysfIysfIy8fIy8fIy8fIy8fIy8fIy8fIy8fIy8fIy8fIy8fIy8fIy8fIy8fIy8fIy8fIy8jJzMjJy8jJy8jJy8jJzMjJzMjJzMjJzMjJzMjJzMjJzMjJzMjJzMnKzMnKzcrLzcvLzsvMz8zNz87O0M/Q0tHS09PU1dXV1tfX2NjZ2tvb3N3d3t/f4OLi4+Tl5efn5+jo6enp6erq6uvr6+3t7e7u7u/v7+/v8PHx8fLy8/T09fX29vj4+Pr6+vv7+/z8/P39/f7+/v7+/v7+/v7+/v7+/v7+/jLNMgiHAEk4+0ewoEESSAYaPPgv4cKCJAg6fPjPn0SFC/1ZbIjRoMaLFDVqdNEnpMV6EzNahJfSo0V0LQt+LIfEoDyJDZHUJCgPQKt/Tlp95AnA2Yt/5V6I/NdzIJVZ/6gI9YekaEVnLvyBg7G0okYq4PzFIGhRpD9zLsRsI7v049Cubjc+dEvR69CAACH5BAEIAP8ALNEAnwANABQApwsLEQ0NFA8PFxERGRISHBQUHhUVIBYWIRcXIhcXIxcXIxcXIxcXIxcXIxcXIxcXIxcXIxcXIxcXIxcXIxcXIxcXIxcXIxcXIxgYJBgYIxgYIxgYIxgYIxgYIxgYIxgYIxgYIxgYIxgYIxgYIxgYJBgYJBkZJBkZJBoaJBsbJRwcJR0dJiEhKSUlLSgoMCsrMy4vNjIyOTU1PDg5QDs8Qz0+RT4/R0BASUBBSkFBSkFCS0FCTEFCTEFCTEFCTEFCTEFCTEFCTEJCTEJDTEJDTEJDTEJDTEJDTEJDTEJDTEJDTEJDTENETENETURFTUVGTUZHTkdITkhJT0pLUExMUU5PUlBQU1JSVFRUVlZWV1hYWVtbW1xcXF1dXV5eXl9fX2BgYGFhYWJiYmNjY2RkZGVlZWZmZmdnZ2hoaGlpaWpqamtra2xsbG1tbW5ubm9vb3BwcHFxcXJycnNzc3R0dHV1dXZ2dnd3d3h4eHl5eXp6ent7e3x8fH19fX5+fn9/f4CAgIGBgYKCgoODg4SEhIWFhYaGhoeHh4iIiImJiYqKiouLi4yMjI2NjY6Ojo+Pj5CQkJGRkZKSkpOTk5SUlJWVlZaWlpeXl5iYmJmZmZqampubm5ycnJ2dnZ6enp+fn6CgoKGhoaKioqOjo6SkpKWlpaampqenp6ioqKmpqaqqqqurq66urrGxsbOztLW1tre4uLq6vLy9vr6/wcDBw8LDxcPEx8XGyMbGycbHysfIysfIy8fIy8fIy8fIy8fIy8fIy8fIy8fIy8fIy8fIy8fIy8fIy8fIy8jIy8jJy8jJy8jJy8jJzMjJzMjJzMjJzMjJzMjJzMjJzMjJzMnJzMnKzcnKzcrLzsvMzszNz83O0M/P0dHR09PT1dXV19fX2NnZ2tvb3N7e3uDg4ePj4+bm5ujo6Orq6+zs7e/v8PLy8vX19ff3+Pn6+vv7/P39/f7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/jLNMgiBAP+RePavoMGD/kgcIXgQIQl/CxsaTOgPIsOGCf9VjIiRRMGNFz96/GjRIcKSBT0JwNjuRR+RGP2pi5gxprmFNWOSO5JzXcEjQP/xHPkPwCt/TVxV1Ej0GQx/5GBMJOqPSq2qrj4emfjMhb9vUjUuFUtFowyJH8u5EKMNrdix/wICACH5BAEHAP8ALMgAkgAYACAApwEBAgMDBQYGCAgICwoKDgsLEAwMEg4OEw8PFRAQFhERGBISGRMTGhMTGxQUGxQUHBUVHhYWHxcXIBgYIRgYIRkZIhkZIxoaIxoaJBsbJRwcJRwcJh0dJx4eKB4eKB8fKSAgKiEhKyIiLCMjLSQkLiUlLyYmMCcnMSgoMSgoMigoMigoMigoMikpMikpMikpMioqMioqMysrMysrMywsNC0tNC4uNS8vNTAwNjExNzMzODQ0OTY2Ojg4Ozo6PDw8PT4+P0FBQUJCQkNDQ0REREVFRUZGRkdHR0hISElJSUpKSktLS0xMTE1NTU5OTk9PT1BQUFFRUVJSUlNTU1RUVFVVVVZWVldXV1hYWFlZWVpaWltbW1xcXF1dXV5eXl9fX2BgYGFhYWJiYmNjY2RkZGVlZWZmZmdnZ2hoaGlpaWpqamtra2xsbG1tbW5ubm9vb3BwcHFxcXJycnNzc3R0dHV1dXZ2dnd3d3h4eHl5enp6e3t7fHx9d35+cn9/bYCAZ4GBZIKCYoODYIODW4SEWoaGW4aGY4aGZoeHaoiIb4mJdYqKfIyMhI2NjY6Ojo+Pj5CQkJGRkZKSkpOTk5SUlJWVlZaWlpeXl5iYmJmZmZqampubm5ycnJ2dnZ6enp+fn6CgoKGhoaKioqOjo6SkpKWlpaioqKurrK6urrCwsbKys7S0tbW2t7e3uLi4urm6u7q6vLu7vby9ur6+t7+/tMDAscHBrcLCqcLDpcPDocTEnMTFlsXGjcXGg8fHe8jIc8jIcMnJbsnJbMrKacrKZ8rKZMvLZMzMY83NZc3NaM/PbdDQcdHRd9XVgtnZjt3dm+HhrOXlvejoxurqze3t1u/v3fHx5PPz6vb27/j48vv79P399f398/7+8P7+7f7+6f7+5P7+3v7+2P7+0v7+zv7+yv7+xf7+vf7+t/7+sP7+qP7+of7+m/7+lv7+k/7+kP7+jv7+jf7+i/7+iv7+iP7+iP7+h/7+h/7+h/7+h/7+h/7+h/7+h/7+h/7+hzLNMgj+AP8JHPgPFCpgxRIWE9YrFMGHA7eZk+evosWK9dBtgzjwm7uLIC3CC8dRHMWQKOuVe1iq2LGXMGPKfHkq4keUOCvG6ybQXM6f/tD923YSKE5v44z+NJdOac5165zidNdO6lSghJT9jPqTUCGtKN017ervK8p15LBWNAvy3LZ6ZNeCtfjtH7q4ci2qE7gNXk5CIM3W8zYwHFyUgAMrI/ewHM7EF+3RmQXxlEuZg0DWI3ctxh6I3e5ehOxPnbdt264NoQzRm7l1Hwm5W3eu7lDU1oZwjPiPwkBsAofoFr6bb++h2Aqs2kZkeXHeFLYln0VjmzUaz6FP/8eEMpNV2W8gDykwC/UsFduo2QiPeuNt7tT+6QgPEbcKMazpR2xPMCAAIfkEAQYA/wAsgQBEAKcApACnAAAAAQEBAgICAwMDBAQEBQUFBgYGBwcHCAgICQkJCgoKCwsLDAwMDQ0NDg4ODw8PEBAQEREREhISExMTFBQVFRUWFhYYFxcaFxcbGBgbGRkbGxsbHBwcHh4eICAgISEhIyMjJCQkJiYmJycnKCgoKSkpKSkpKioqKysrKysrLCwsLCwsLS0tLS0tLi4uLi4uLi4uLy8vLy8vNDAwNzExOTIzOjQ1ODU+NjZCNzdBODk8Ojo+Ozs/PDxBPT1CPj5DP0BEQEBEQEFFQUJGQkJGQ0NGRERHRUVIRkZIR0dJSEhKSkpLTExMTU1NTk5OT09PUFBQUVFRUlJSU1NTVFRUWFZaXFhfZVthbF1icV9jdGJldmNoc2dvcGt1bW19anCFbW2QcmyWdG2edW+kd3OpeXqwen61eoS7dIzEapfOZZzUY57WYaDZX6LbXaPdXKTfW6XgW6XgW6XhW6bhXKfjXajlXqvoYK7sYK/uYrHxY7PzY7T1Y7T1Y7T1ZLT1ZLT1ZrT0aLTxbLTudLbrfLjoiLjgk7fYnLfRqbXEsLC1squps6mltaiiuaifwqqcyKya0bGZ2LSX2beb2Lui1MGvzMS+ysfEycnIycnIysnJy8vLzMzMzs7Oz8/Pz8/P0NDP0dHQ0tLQ09PR09PR1dXT1dXU1tbV19nV2NjY2dnZ3Nzc3t7e39/f4ODg4eHh4eHh4+Li4+Pi5OPh6OTd6ubc6ufd6Ofi5ufk5ujm5ujo5+np6Onp6erq6uvr6+vr6+vr7Ozs7e3t7e3t7u7u7u7u7+/v8PDw8fHx8vLy8vLy8/Pz8/Pz8/Pz9PT09PT09fX19fX19fX19fX19Pb28vb27fb26ff35vf33vb42fX43Pb44fj44fj44/n55fn59Pr6+vv7/Pz8/f39/f39/f39/Pz8/Pz8/Pz8/v7+/v7+/v7+/v7+/v7+/v7+/v7+/f39+/v7+vr6+fn5+vr6+vr6+vr6+fn5+Pj4+Pj4+Pj39/fy9/f3+Pj2+fnz/PztMs0yCP4A/wkcSLCgwYMHc1VaxGhRpVwII0qcSLGixYsYM2rEiGoRqmnppnVEtbGkyZMoU6ocmGsRsXQwYRJbBHGlzZs4c16shCqmT1SVdAodSnQlI5A+YU5jVLSp06cSGSX1yRSq1atFj04NWRWr168qeW4FCrasWY0tX/qcWfOs27cIR4IU6RGu3bssFzZ8iLev37+AAwseTLiw4cOIEytezLix48eQI0ueTLmy5cuYM2vezLmz58+gQ4seTbq06dOoU6tezbq169ewY8ueTbu27du4c+vezbu379/AgwsfTry48ePIkytfzry58+fQo0ufTr269evYs2vfzr279+/gw/6LH0++fGtG6NOrD791q/f27bnDh+/Zj/37+PPr38+/v///AAYo4IAE5reSH4DNp2A6gSGokoN+LThfgwf+JaGCgEGIkoZ3XTjhXxyaFCJcHtIH4oHopKgiOv6Y4Q2Lh6AjySAsurjijSlCkg06tcQoiUCHzIjjkEQWaeSRSCZpJCfErMiIiiNetKIfONbyTxneiNOjP4l4U0sNWIoj5phkQvIPDpXU8M8gLrbozSPZkCnnnHTWaeedeOapZxf/NImOQKukSKWKGd3Yx5yf1OJiOJJkM2M4iS7K6CDh0CKGo2VEcogZikJySDjhuPkoqKSWauqppWZwCaqsturqq/6wgmrFP8LMysmYfeBIETqO7IgOrqfC4w+W8FDijabwCEssPDMmK0kalyYr7bSPHAIPLWlMq+223EqbwRCXdCvuuOSWK+6s/3BS6qFi3hhRir2SGY4e09Jj77De+HMIPXDei6U/NcwgsCH8EmzvwfduYTC+CDfs8MP2ZpAOuBBXbPHFGFfchSb0TKtHOGSueJCK8YoDKjx62GvPyvbgo08Z10hiCD6RzOwyzPjgM2POkqARRjY5B50znEFjK/TRSCcdNAYwCXGJ0lBHLfXUULNsj730gjqmyAWRnM3J8NCTR8v47GP2NC9fE0k208w4Ddowv+22JGTEXPfbeNNCg/7AODg6CN6ABy744Ew3bcngiCeu+OKMT2P2Pjnbk0fH8GgtDqEEqSjmySrnUfY+eEcjujOkk67INqWnrvrqrDsDZ+uwt144TEBYEvvtuOfeuujR4G02PmPbWznIl6eY+a8mhxP2yvjg8XY0pC+zTDLUV5+MJIJYr/323FePfffggz877ZaEb/756IMvPem9T4MHPit3bLnxAmlu8vJlT3MH9NMfc4wxxiiGAAdIwAIa8IAITKACDTg+2lVigRCMoAQHCED/JWMZzojGHRwHP/m1i34p2hz+QKfBZfxPgMQQhjCAwcIWuvCFMIyhDGdIQxg2MB32+EEiasjDHvqQhf4qJIYAjXGMZeyPg1er3Afrhzzl0SN/0ViGHexQhyrSgQ5zmIMc5BCHLnrxi2AMoxjHSMYyfhEC7sGBGczIxja2cYtZvGIV6zDFZDiDgx4sHhPvRw97kHAZARSGL3iRC1zg4ha3kIUsYsHIRjrykZCMpCQnSUlH3nAgPUhEJTfJyU0qEpGGzMUueAEMIR7jjvtIIshAKMKW7QN6xyjGYZIisZggxhfEOOU04KfEy/0jhE5s2TSiaAxgTAcXvChGMqKRSg+mSIXAGCQhDxmLV6xCFdOBBS58UYxlQM6Z6IDmIHdRyEW2YhWpmM4qYpELYRyDmfZQ4jNXOE5qwoIVqv4giXRSwYpb+MIYzkilPMNJT17sgprWVIUpplOKVcgimd682ioJGk2DIhSdpZhOKFIBi10QI6L0mCg0a0GGcsLinJcYxXQ+gYpW4EIYydhlx4o30pLiQhYnjcQaVCodTrQUF8CIKT5mmqJskPQUZDjFFl7wAjVsYQWFmA4nTMEKoArVmUZNalJLIYtJnCESagiFVKkK1GPIVJ5ZRWouIPGCFnw1rFItRVWBYdahopUSY0CqTmUhibeKtadyLetZV/mPLuQ1qTR4wRfEMIkURBWwc62rMwtKzpveM59/jQ4nAkvXwV6OsibFJyoyC53NRtaz4axoZXEqWtI+x7SCtf7rKkFr2dbG9bSy/axqQ4vZ28Z2srutbW8h+1t50pa1w9UsZyU7UD7iYxrOSEYxgIGLV/i2s7kFZtieG93pVve6zJ2oc6ErXepal7jYBed4u2te8KL2V07kbnm/i97wFm+98z2vcnGr3viS17v6Le1y34tfALs3u/Dd7n/bW18C+5e99N1vccX74PweuL8KhnCAXztgBBeYwRJOb3MrbOAGe5jEIBYwf0ecYQubGMNPXHCEVTzh+6J4xhxeMYVbXGLNklXEO45xNOYLi7HO9aoD/ZWCh2wMYeSiyD39aVDPWrwQLhmQTo7FdDzxU5hSeUUm6yPoTEiMXchipah4Rf47QTpRYIoZuscgBi9uMR1QpELNH21mmxPsx//6Ahca5ahHI5pkPpeNmNTVqCpikcyAxnPPzgWdM47h5OmMQhWy+Gc0EKzdPj53yGVm6Cr8+U4E/7KVhwakL6aTCpd6+dHt2mMwJW0MXzxZoaHwxCYykQlM+PrXwA62sIdN7GIb+9jITrayl/1rXmtiE5zgxCdGgQpV4DkZAp3oHiMdRTnjohX5LMUoQhEKUIDiE+hOt7rXze52u/vd8I63vOdNb3qbm9yhGEUpSmGKVFh7mwAdKvFA2MQRRiPOvrjFZVWRioY7/OEQj7jEJ07xilv84hjPuMYlroqOr2IVrYgFMv6VOQ1Y6/GXIeSjMCdNDF8cdJGwgMUrZk7zmtv85jjPuc53zvOe+/znQKd5zBkpi1vgIhekJMYyBf7BP22bcytPhjGIUVGD7uLqWM+61rfO9a57/etgD7vYx072rPOCF75IeymLUcRN55F+TGyiE5/4yugCMIAoJIbe9873vvv974APvOAHT/jCG/7wFKzgMS7IzNxWuWspBxvzSDg63Vn+8pjPvOY3zzreve13SYRH0w0C5s0pb3nMo5rqV8/61rv+9a63mvCIV2WnQz7lpq9XxnbP+977/vfA//20LNd025O+9KYvlbmWz/zmO//50Gf+qULGNYngyE6xyr72tyfP/e57/1V20pWUkKSn8pv//OhPv/rxlCSUKOn98I+//OdPf/pbJCAAIfkEAQkA/wAsjgCpAI0AMgCnAAAAAQEBAgICAwMDBAQEBQUFBQYHBwcHCAgICQkJCgoKCwsLDAwMDQ0NDg4ODw8PEBAQEREREhISExMTFBQUFRUVFhYWFxcXFRkeFBsjExwoEx0sEx8vEyAyEyE1FCI2FCM4FiU6FyY7GSg8Gyk8His9IS09JC89JjA8KDA6KjE5LTE3MDI1MjIyMjIyMjIyMjIyMjI3NTIyNzMzOjMzPDMzPzMzSDMzUDMzVzQ0XDQ0YDQ0ZjY1aTc1bDg1bzo2eEM3hFI6jV08k2U+mms/nHBBoHZInXpSnH9emoJqjH1vf3hzenZ0dXV0dXV1dXV1dXV1dXV1dXV1dnV2dnV2dnV2eXF2fml6hmSAi2GFkGCKlF2QnGOZoGmfo3KloHermnuwj4C5h4XBfYjLYozaRpDqMZD1Ho/+Ho/+Ho/+Ho/+Ho/+Ho/+Ho/+Ho/+HY37HY36HY37Ho/+Ho/+Ho/+Ho/+Ho/+Ho/+HpT+HpD+HpD+HpD+HpD+HpD+HpD+HpD+HpD+HpD+HpD+HpD+HpD+HpD+HpD+HpD+HpD+HpD+HpD+HpD+HpD+HpD+HpD+HpD+HpD+Ho/+Ho/+Ho/+Ho/+Ho/+Ho/+Ho/+Ho/+Ho/+Ho/+HpD+HpD+HpD+HpD+HpD+HpD+HpD+HpD+HpD+HpD+HpD+HpD+HpD+HpD+HpD+HpD+HpD+HpD+HpD+HpD+HpD+HpD+HpD+HpD+HpD+HpD+HpD+HpD+HpD+HpD+HpD+HpD+HpD+HpD+HpD+HpD+HpD+JpT+Lpj+NZz+RaL8Vqr6aLL4c7f2e773hcT5jcj5l8n5m836ns/7oc/6pM/6qdH6rdT7sdj8td39uOD+uuP+u+X+vOf+vuj+vur+v+v+we3+xvH+yvX+zPj+z/v+0fz+0/3+1P3+2Pz+3fr+5fn+7Pj+8vb+9vj++vn+/Pv+/fz+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v79/v78/v77/vvy/ffk/PXY/PTR/PDJ+uvA+ua2+uOy/OCu/OKwMs0yCP4Am0ipQrCgwYMIEypcyLAhwQX/IkqcuMGhxYsYDTapAqqjx48gQ4ocSbKkSY8ZJkYUwZLlyZcwY34cKBKPOY/jQNnsqG3ayZygkPlEFnHcTpkjU0Y0sBIO0qdQRRIMiWcduo54cm5DBqrbOp8lxVlFtu7rOK5nhUb9qNQAHA8RPayd+3QqSGhHhe7E86wnTq7abnYb1w2aOZvdnv09OjelW1AjIo5wSrfySbsgj1JDhgwoKL8dz3YcfJOkNqCi54p4DApOh7iWY5PE/PFoTtCffWora1WnOa4jB3tMLLtj5H9yiyvvSNvj3pydPeJO3Y1a6ZC4QaWW7Xry8uXNsf7eVMt4OlfhwjObk/iM8ff3xcOP3CpbLfz7seXXvE7XPf7/UekH4IAEIiVggQgmKFUVvDXo4IMQRvigShRWaOGFGGao4YYcqkSQhOv0w8yD/RjTYIkg8tbhiiy26GKHH6boYD1glOOgF9/I+OKOPPbIYYy81WMEDDF8I2I/MMBgRjklCskMPltYg2KKPlZpZZVAlrXPGLwdaWISUo6IDxdFjLiljlemqSaMDDo4ZAxhirgOmGCW1Y8wZeFTI5Vr9uknhVmeaMyRI4Ipp55GmMkln3822meg+/hApJHMyGmoMVBak+mUIDrqqZoEsUhjOSrh+Ompn4bKYokTsYrqq/5/qgrrrLRmKGutuOb6z6269voqrx3WY2pEwn7j67G2VvGiiCrtowyy0FYI7Jvf4COpMP8gCYMxxfaz5J3FRituRLzuEwaTxiT6T6JgRqQnqf2Mce4/7Y4bLa+uhltipDAIsyWx9TJrL7Tlnruluur+U2yN2YIxb70DHwssknBa2++6SXKL453ZChNuxBIr66LAEjkLMrLAcvixwsOe3GvKLsd8Icwy1zwRzRGZajK/2G6obc82xyqyhW/ya0y7EGPYjzVBe4rvt8KICIaeSTAjUb1OZpqt1RjDwHXTjw4tUbzzWsixRGOWGRGz9YA5prFgrwls20ybja2QF3PML0qRda8c95UTO0wqha5OhCjXzL797t+git3x4yrhnSTXmWotMMV1Mw6445rHjHPn9n4Ouriij05wE6bL3MTqGbXu+uuwxy67Rk0EBAAh+QQBCQD/ACzQAJ4AEAAeAKcAAAABAQECAgIDAwMEBAQFBQYGBgcHBwkICAoJCQ0JCg8JCxIIDBYIDRkHDRsGDh4GDh8IDx0MEBgREhUUFBQVFRUWFhYXFxcYGBkZGRkaGhobGxscHBwdHR0eHh4fHx8gICAfISMaIy4WJDcRJT8OJUQRJkAWJjsbJzYgKDIkKTAoKi0sLC0tLS0uLi4vLy8wMDAxMTEyMjIzMzM0NDQ1NTU2NjY3Nzc4ODg5OTk6Ojo7Ozs8PDw9PT0+Pj4/Pz9AQEBBQUFCQkJDQ0NERERFRUVGRkZHR0dISEhJSUlKSkpLS0xMTExNTU1OTk5PT09QUFBRUVFSUlJTU1NUVFRVVVVWVlZXV1dYWFhZWVpaWltbW1xcXF1dXV5eXl5eX19fX2BgYGFhYWJiYmNjZGRlZWVmZmZnZ2doaGhpaWlqampra2tsbGxtbW1ubm5xcXF0dHR1dXV1dXV1dXV1dXV1dXV2dnZ2dnZ2dnZ3d3d4eHh7e3t8fHx9fX1+fn5/f3+AgICBgYGCgoKDg4OEhISFhYWGhoaHh4eIiIiJiYmKioqLi4uMjIyNjY2Ojo6Pj4+QkJCRkZGSkpKTk5OMkph5jaFZh7Q2gsskf9cegeIdifIejv0ej/4ej/4ekP4ekP4hkfw1mPNzsOO5ytjP2eHZ3uLe4ePh4uPi4+Pj4+Pj4+Pj4+Pj4+Pk5OTl5eXo6Ojs7Ozs7Ozt7e3t7e3v7+/v7+/v7+/v7+/v7+/w8PDx8fHy8vLy8vLy8vLy8vLy8vLy8vLy8vLz8/Pz8/P09PT09PT09PT09PT09PT09PT09PT19fX19fX19fX29vb29vb29vb29vb29vb29vb29vb29vb39/f39/f39/f4+Pj4+Pj4+Pj4+Pj4+Pj4+Pj4+Pj4+Pj4+Pj4+Pn5+fn5+fn5+fn5+fn6+vr6+vr6+vr6+vr6+vr6+vr6+vr6+vr6+vr6+vr6+vr6+vr6+vr7+/v7+/v7+/v7+/v7+/v9/f3+/v7+/v7+/v7+/v79/f0yzTII0QD/CfyXL9/AgwgF2luYsGG7h+0aIvRGkaLEgdIyarz475jHj8cu+hpJcqREWyhTpmwYq6XLlwlFyZxJUxRCVThz6sTJwIvAO0CDCgUKoQSmf56SKl2aFII+o0yXDnT6FFPUpFP1aYXqCanUf1S3DmQqMOzWo16xgtXKtmrarmvb6itnNKFZtrnqHrzL9pXesnLbniqxl+2xrSUSEx6IQeAxBqP+EYmcsPHjUSz+ncpc+fI/JpFBJxwCWeAoFf9IueAokAmpfzNY/3OlYsxrhAEBACH5BAEIAP8ALM8AqQANABsApwAAAAEBAQICAgMDAwQEBAUFBQUGCQUIDwUKFAYLGAUMGwUNHAUNHQUNHgUOHgYOHgcOHQgPHAoQGg0RGRASFxMUGBUWGRcXGxgYHhgYHxkZHhoaHRwcHB0dHR4eHhwfJBkhLBYjMxQkOBMkOxIlPRIlPhMmPhQmPRYnPBknOR4oNiMqMicrMCosMC4uLi8vLzAwMDExMTIyMjMzMzQ0NDU1NTY2Njc3Nzg4ODk5OTo6Ojs7Ozw8PD09PT4+Pj8/P0BAQkFCR0JCSEJDR0NERkRFRkZGRkdHR0hISElJSUpKSktLTExMTE1NTU5OTk9PT1BQUFFRUVJSUlNTU1RUVFdXV1paWlxcXGBgYWRkZGdnZ2lpaWtra21tbW9vb3BwcHFxcXJycnNzc3R0dHR0dHR0dHV1dW91e2R1hVd0kUp0nT9zqDdzrzFztiZ2xR930Bt51xp62hp83RqA4xyG7hyM+B2P/h2P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6Q/h6Q/h6Q/h6Q/h6Q/h6Q/h6Q/h6Q/h6Q/h6Q/h6Q/h6Q/h6Q/h+Q/SCQ/SKQ/CSR+iiR9y6S8zaU7kKW50+Y4Fub2Wqe0H2ixpOnu6Srsq6urq+vr7CwsLGxsbKys7OztLS0tLW1tba2tre3t7i4uLm5ubq6uru7u7y8vL29vb6+vr+/v8DAwMHBwsLCwsPDw8TExMXFxsbHx8fIyMjIysnJysnKy8vLy8zMzM3Nzc7Ozs/Pz9DQ0NHR0dLS0tPT09TU1NXV1dbW1tfX19jY2NnZ2dra2tvb29zc3N3d3d7e3t/f3+Dg4eHh4eLi4uPj4+Tk5OXl5ebm5+fn6Ojo6Onp6erq6uvr6+zs7O3t7e7u7+/v8PDw8fHx8fLy8vPz9PT09fX19fb39/f4+Pn5+fr6+/z8/f7+/v7+/v7+/v7+/jLNMgimAP+ZMfOvoMGD/zYpRIhQ4UKGBR0+ZChx4sGKFiNi3NRwI8eCDt54/OjAhEiP/xz4MzlS5T+WG12+PFkxg7+C/oYk++fvZkGbPHvq7GnQZs+bOZMR/WfUpz98Q38y9AdPp1SEPdFZzQCxYLghTA3SKzikbNmw/+gloPWPyKyDXNUma/EvHN2icv8xEab3LdkEO/8lY/HPmouueq39m4G4HIsszgwGBAAh+QQBBwD/ACyPAKoAiwAfAKcAAAABAQECAgIDAwMFBQYHBwgJCQsLEh0QHCwTIzcSJ0AQKkoUMFESM1kTN2AUPGgWQXAWRHUXSoAXUpAYWZ0YY64ZarwZcMcZc80aeNYafN0bgOMbgucbg+obhewchu8cifQdjPkdjv0dj/4dj/4dj/4dlP4dmP4dnP4dn/4dov4dpP4dq/4esv4etv4euP4euf4etv4esf4eqv4en/4ekv4ekP4ekP4ekP4ekP4ekP4ej/4ej/4ej/4ej/4ej/4ej/4ej/4ej/4ej/4ej/4ej/4ej/4ej/4ej/4ej/4ej/4ej/4ej/4ej/4ej/4ej/4ej/4ej/4ej/4ej/4ej/4ej/4ej/4ej/4ej/4ej/4ej/4ej/4ej/4ej/4ej/4ej/4ej/4ej/4ej/4ej/4ej/4ej/4ej/4ej/4ej/4jkPwokfktkfYykvQ2k/I+lO5ElOpJledNluVTluJcmt9qmtpzm9d7ndaFodWPotGcpsinqsayrb+6qbHJtrPNubLNvbrKw87OydfQzuHT0OXR0ejR0uzT0+7Z1PDa1vHW2PPN2vbF3Pe+3vm74Pq64vq65Pu95vzB6fzH7f3Q8f3X8/7Z9P7d9v7i+f7n+v3v/f71/f76/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7////+/v3+/vz+/vn+/vb+/vP+/ez+/ef+/OP++dv+99X+9dD+8sv+8Mf+7sL+7MD/6r3+6Lv+6Lv/6LsyzTII/gDXCRxIsKDBgwgTKlzIsKHDhxAV+qsj0B6edRMF+oG00KJGjn4SJGiUMaLJkyhTFvSXoI1Af3ni8ckkMwLHhPZEtgkZ4VGeTPZ+blRJtKhRg4FKbsxob9LQdUEzrfNTR2YhPlQn8plU8WfJo2DDmlSayU+jgU+jrpOZh2JCs1B/ip1LVyJFj0+nghTZEmMdqQdlnl27ta7hw34xnoX7satUmXzcGsyrFrHlsBmHfk37U7BggyxFUpj09bJpsTIBG817uvXR0iphQ/znurZthv9o397Ne11u3b1V5hhOvLjx48iTK1+e/AAG5tCjS59OnfgjRMdhZCquvbr34QcW/jz/Tr68+eSS7hiHpOd89APrxLufT5+4JIF6rj8aeKe7JOyWLNJdfc35Jh+BCHo3YA76bQfJItcNZ0kl2C2YIHHw5XbghRwydxOEiET44IPDwbAOcZao12EOGWo43oowZpeJftg9GGEOlvyXg4UctuhijEBqhx+NOTzYXYA4CrgdjD4a+CKQUCKX3nrtMekbcJpsGOWWJS7ZJZAZEvRPJlpyaSaX8A2k2z+YlHnmm1YKlJuc6yCyAJzf/abnnnz26eefgAaKwG+a5MbAoYcGquiijDbq6KOQCpqbJgfs8Q8De8gZ6aacduppp4NSCkgC/yBC6qeopqqqqgiI+k8DK4C8aumqtNZqK6AMHBDrP6P+M4gCtwYr7LCvDvIPsMQmq6ynpkIQyLKqBgQAIfkEASoA/wAszgC2AAwAFgCnAAAAAQEBAgICAwMDBAQEBQUFBgYGBwcHCAgICQkJCgoKCwsMDAwMDQ0NDg4ODw8PEBAQEREREhISExMTFBQUFRUVFhYWFxcXGBgYGRkZGBodFxwkFh4pFCAwEyE1ESM6DyQ+DiRCDCVGCyVHCyVICyVICyZIDSZGDiZFDyZEEidCFCdAGCg+Gyk7ICs5JCw3KC41LC81LzEzMzMzNDQ0NTU1NjY2Nzc3ODg4OTk5Ojo6Ozs7PDw8PT09Pj4+Pz8/QEBAQUFBQkJFQ0NDRERFRUVFRkZGR0dHSEhISUlJSkpKS0tLTExMTU1NTk5OT09PUFBQUVFRUlJSU1NTVFRUVVVVVlZWV1dXWFhYWVlZWlpaW1tbXFxcXV1dXl5eX19fYGBgXGJoWGRvVWZ2TmiCSGqMQGuXOW2hMm6qLG+zJ3C5I3G/H3LEHHLIG3LKGnLLGXPMGXTOGXXRGXfUGXrZGn3fG4HmHIfvHIr1HY36HY78HY/+HY/+HY/+HY/+HY/+Ho/+Ho/+Ho/+Ho/+Ho/+Ho/+Ho/+Ho/+Ho/+Ho/+Ho/+Ho/+Ho/+Ho/+Ho/+HpD/HpD+HpD+HpD+HpD+HpD+HpD+HpD+HpD+HpD+HpD+HpD+HpD+H5D9IJD9IZD8I5D6JZH5KZH2LpLzM5PwOpTrQJXoR5bkT5jfWZraY5zUb5/OfKLHjKa/nKq3rq6ur6+vsLCwsbGxsrKzs7O0tLS0tbW1tra2t7e3uLi4ubm5urq6u7u7vLy8vb29vr6+v7+/wMDAwcHCwsLCw8PDxMTExcXFxsbGx8fIyMjJycnKysrKy8vLzMzMzc3Nzs7Oz8/P0NDQ0dHR0tLS09PT1NTU1dXV1tbW19fX2NjY2dnZ2tra29vb3Nzc3d3d3t7e39/f4ODh4eHh4uLi4+Pj5OTk5eXl5ubn5+fo6Ojo6enp6urq6+vr7Ozs7e3t7u7v7+/w8PDx8fHx8vLy8/P09PT19fX19/f39/j4+Pj5+fn6+vr6+/v7/f39/v7+/v7+Ms0yCIMAHz36R7CgQYEDDR5EqNAgHIYN/5l4KDCiRIoJG06EqBGjxY0VI4LMqHBkxHwgDfoj6A/ev2QrWfpbOROdkGQyZ/7TGU7Izpn0ZgoZOnQD0AW0/BGZFXPDP3oLksXwF24qwQ1QcTIR5o/JLIJCohJMBuOftRgWmVj7N8NiORhhnBEMCAAh+QQBCAD/ACzCAK0AGAAYAKcAAAABAQECAgIDAwMEBAQFBQUGBgYHBwcICAgJCQkKCgoLCwsMDAwNDQ0ODg4PDw8QEBARERESEhITExMUFBQVFRUWFhYXFxcYGBgZGRkaGhobGxscHBwdHR0eHh4fHx8gICAhISEiIiIjIyMkJCQlJSUmJiYnJycoKCgpKSkqKiorKyssLCwtLS0uLi4vLy8wMDAxMTEyMjIzMzM0NDQ1NTU2NjY3Nzc4ODg5OTk6Ojo7Ozs8PDw9PT0+Pj4/Pz9AQEBBQUFCQkJDQ0NERERFRUVGRkZHR0dISEhJSUlKSkpLS0tMTExNTU1OTk5PT09QUFBRUVFSUlJTU1NUVFRVVVVWVlZXV1dYWFhZWVlaWlpbW1tcXFxdXV1eXl5fX19gYGBhYWFiYmJjY2NkZGRlZWVmZmZnZ2drb2Rvdlxze1N1fk15iFJ8k1t/n2KCq2uEtniGvH+GvoCHwIGHwYKHwoSHw4WHw4aHw4aHw4aHw4aHw4aHw4eHw4eHw4eHw4eHw4eHw4eHw4eHw4eHw4eHw4eHw4eHw4eHw4eHw4eHw4eHw4eHw4eHw4eHw4eHw4eHw4eHw4eHw4iHwoiHwoiHwoiHwYiHwImIwImIv4qHvY2Guo+FuZKGt5SDtJh+sKCArqSJq6OVqKGcpaSgpaWlpaWmpqanp6eoqKipqamqqqqrq6usrKytra2urq6vr6+wsLCxsbGysrKzs7O0tLS1tbW2tra3t7e4uLi5ubm6urq7u7u8vLy9vb2+vr6/v7/AwMDBwcHCwsLDw8PExMTFxcXKysnOzszS0s/W1tLa2tXd3dfg4Nnj49zm5t3o6N/q6uHu7uPw8OXz8+f19en29ur4+Ov5+ez6+uz6+u37++37++78/O78/O/8/O79/ez9/eb9/eH9/dr+/tT+/sv+/sT+/rz+/rT+/qz+/qX+/pz+/pD+/oj+/oj+/oj+/oj+/oj+/of+/of+/of+/of+/of+/of+/of+/of+/of+/of+/of+/of+/of+/ocyzTIIxQD/CRz4r9u4c+nWrUuHblw3ghAHdisHz5/FixbhmXsYUSC4dRhDXlwnruO4iiJTwiMHERzKlDBLCuwGEqbNdRzL2dzp71zBlzxTfhsXdGe5T32SKl3KtGmfT0idSm3KidPUq0utXl3z5mrUqWvYdHXK6avUNf7EOv0ECivatGOXggIlaetFtXL/tQWLEe9TgaA08e3bVRKogXTPihR7mODepm8xxlPSUVzNviHhjes481xINhjRfeNM8Fu5hGnXqSsHrmNAACH5BAEGAP8ALIEAnACnAEwApz9LZD1DWURNaV9vlWCc02au6HGx5Yu32p66zq+7wcW9strAo+XSteXcxeTp4eHs6+Ds797s8Oft7+vt7u7u7u7u7u/v7/j4+P7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v////7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v////7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v////7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v////7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v////7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v////7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v////7+/v7+/v///zLNMgj+AP8JHEiQ4LSDCBMuQJDw4IIICQc0nEixosWLGDNq3GixgYWEDA8WHEmyYMICHA8yCIlwZcqXMGPK1Djg38dpAh0cRImwpM+GPBUGABBh4YIAASQ+ZCCRaQWJM6NKnapRgE2rDRAG7elT4DQFEE9OZGnUwLQFD6AyhfqQqtu3bq3+y6q14s+vYes2PBoAgVGGCxyQDbkQruHDMAfQ1UuRJEKwQCsyIPD3bFqVBtjmRcy5s8atE0c+3jwN9DSkRCs/XNp0wFPPsGNXNJ3Q5EXaF10m1C27d2zcXL3ehtkWIVTfyDsDFyl8ePLn0DMuZy49uvXrYjE2t1igu/fv4MP+ix9Pvrz58+jTq18PPuN27PDjv3wvv779xhu76t/Pv7///wAGyN9GFRRo4IEIJqjgggwu2JCAEEYo4YAaNWjhhRgqGNqEHHYYIYEZhiiigv88uN9FHqYYIIgjtihiiTgF55hGKtZ4YoUu5oghdczNmJ+NQIqGYwUNDBABgg48daSOIuLUXEkwBSklfRUZWOSSBS5gAJMubihklFMCuVEERRbpwABIZRbAAUbydUADSK3JZYIGOWmbTGHaOGaZAzhw5GRaPnUlnxFMNieCA/V4Z0x51rinYm0iRdmWAyhAQIEKJGCkoYcaeGNUjaY4JlNFBrrApIIaSSinnVbw6Uz+oXqYnwCQwpnUAAysGemaV7La6X3AUtTqr8EWe9CwhxprLLJzKlsss1xKFYACzh4GLZPSTlstXNfqKO1p1G5LVbc5fguuuOjKFgBC2qbrLmLrshvuu/RSFa+89eYb1b346ktVrP9RxO9BF7QLcIdwQRicjBNONPBBFhh8sIQJC6gojI6ya+I/Emg7McVvffkgR0Gum6hwDpT48Ych1zkyVz3VdnGKJgsXJ1Irs+yWbU/aBaOTM3tY8z8JnFZ0ziDv7LLMQDMtUtAdDr2uA/EirXDLSzsd2sY1BnDBQNoGcLTVK2IN4MVQRz2tQAqYPDTZ/lVctp0MTxlAVm/DTaGp0nr/R7UADfQdsNmCF64n4UJiXNvedhr+sdw+bt34XY5bDfnPFiXaNNPbVb7y5ZhTrjmPmKftuZSg16156E+bqPrpU6au+syLt7447KFe3rrIPHIeOu6xgg788F0JT/zxi06F/PJQIs788sY/T3x+/lYPaunWZ08j9tp377P34KPIffjhj04++Vmf733y6mfPe/vWRw6/v3fNr++r9qM7eP7VNsy/fP0JCAAh+QQBCAD/ACyuALoAKwAZAKcAAAABAQECAgIDAwMEBAQFBQUGBggICAoJCg0LCw8MDBENDhQODxcPEBoQERwREh4REiAREyESEyISEyMSFCISFCITFCITFCEUFSEVFiEWFyEXGCEYGSEZGiEaGyAcHCIdHiMfICUhIigjJCklJisnKC0qKjArLDMsLTUtLzcuLzkuMDovMTsvMTwwMj0wMj0wMj4xMz4xMz4xMz8yND8yND8zNT8zNT80NkA0NkA1N0A1N0E2N0E2OEE3OUE4OkE5O0I6PEI7PUI9PkM+P0RAQUVCQ0VEREZGR0hJSUlKSkpLS0tMTExNTU1OTk5PT09QUFBSUlNVVVZXV1lZWVxbW19dXWFfX2NgYWVhYmdjY2lkZGtlZWxmZm1mZ29naHBoaHFoaXFpaXJpanNpanNqa3Rqa3Rqa3Vqa3Vqa3Vqa3Vra3VrbHZrbHZrbHZrbHZrbHZrbHZsbHZsbXZsbXZtbXZtbnZtbndub3dvb3dvcHhwcXhxcnlyc3l0dHp1dXt3d3x4eX16en58fH9+foGAgIKDg4SFhYaJiYqLjIyNjo+Pj5GQkZOSkpWTlJaUlZiVlpmXmJuYmZ2Zmp6am5+anKCbnKGbnaKcnaKcnaOcnqOdnqSdnqSdn6Sen6Wen6WeoKWfoKWfoKagoaagoaahoqehoqeio6ijpKikpamlpqqoqKyrrK+urrKxsbWztLe1trq4uLy6ur68vcC+v8K/wMPAwMTAwcTBwsXCw8bDw8fDxMjExcnFxsnFxsrGx8rGx8rGx8vGx8vGx8vGx8vGx8vGx8vHx8vHyMvHyMvHyMvHyMvHyMzHyMzHyMzKys7MzdDOz9LQ0dTS09bU1djW19nY2dva2t3c3N7d3d/f3+Hg4OLh4ePi4uTj4+Xk5Obl5efm5ujm5+jn5+no6Ono6Orp6evq6uzr6+3t7e7v7/Dx8fLy8vP09PX19fb39/j5+fn7+/v8/Pz9/f3+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v4yzTII/gD/CRxIsKDBgwP9+UN4UBWTKbMYSkyocOJAJrhgVbEocWFFixnkwesAjyPChf8+SqwgkKXJgyhTxkTo0uXLgjNVHqzp5Q00adNupsQ5s2BNVqreGCHCaFpQjkVl0mzZ8p03FUSIKIJqUGHUfzUFimjZLtwJrl11UgUrti1bi19lFnXZQWAPtzY7MvxY8m04gesE0lo7MSZKrwpfRelgCF7enWi9ShUYhdY6QRoeG9QMU67HmE52CcR1YyLntBVTo2yFwpxA1yuhflQ9ENGSvhLhcRAqMDVBQX4sXuXtuSCeUxNZeSHOUNoHaxKRHGPOkBKRwAc3BafO0BAMaQXlHyHSQI27xFMfBDGrhuuREUDozE98F2mJECiEwMsnGBAAIfkEAQcA/wAsUgCoAG4AKwCnBgYMCAkQCgsUCwwXDA4ZDg8cDxAeDxEgEBIhEBIiERMjERMjERMkERMkERMlERMlERMlERMlEhMlEhMlEhQlEhQlEhQlEhQlEhQmEhQmExUmExUmFBYnFBYnFBcnFRcnFRgnFhgnFxkoFxooGBooGRspGhwpHB0qHR8rHyErISMrJCUrJycrKSksKystLi4wMjI0MzQ4NTY6Njc8ODk+OTpAOjtBOzxDPD1EPD5GPT9HPj9IPkBKPkBKP0FLP0FLQEJLQEJMQEJMQUNMQUROQkVPQ0VQREZQRUdRRkhSRkhTR0lTSElUSEpUSUtVSktVSkxWS0xWTE1WTE5WTU9XTlBXUFFZUlNaVFVcVVZdV1heWFlgWlphW1xjXV5kX19mYWFoY2NqY2RqZGRrZGVsZWVsZWZtZmZtZmdtZmduZ2huaGhuaGlvaWlvampwa2twbGxxbW1xbm5ycHBzcXF0c3N1dXV2d3d3eHh4eXl5enp6e3t7fHx8fX19fn5+f39/gICAgYGBgoKChISFhoeIiYqMjIyPjo+SkJGUkZKWk5OYlJSZlJWalZablpeclpedlpedl5iel5iel5mfmJmfmZqgnZ6jo6Onp6eqqqutra2vrq+wsLCxsbGxsrKysrKysrKysrKysrKysrKzsrOzs7Ozs7Ozs7OztLS0tbW2t7e3uLi5urq7vLy9vr7AwsLExsbJyMjLysrNzc3Qzs7R0NDU0dHV09PW1tbY2dnb3Nzd3t7f4ODh4uLj5OTk5eXl5ubm5ubm5ubn5+fn5+fn5+fn5+fn6Ojo6Ojo6enp6urq6+vr7e3t7+/v8PDw8vLy9PT09vb29vb29vb29vb29/f39/f39/f39/f39/f39/f3+Pj4+Pj4+Pj4+Pj5+fn5+fn5+vr6+vr6+vr6+vr6+/v7+/v7+/v7/Pz8/Pz8/Pz8/Pz8/Pz8/f39/f39/f39/f39/f39/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+Ms0yCP4A/+EbSLCgwYMIEypcyLChw4T/IkqciO/dO3UYM2rcyLGjx48gQ4ocqdHiwIkT1Y0D160ltpcwY8qcSbOmzZs4c+Js2Q3cOHUnUf4DJ7So0aNIkypdyvQoOKBFnzWdSrWqVabPzOEryuyq169glzIb945r2LNowzID924rymVp48ptuoyt24lw5+rd+9au0Lx8A8+t2/av4MNxCd+VCBixY6+KDT+ebDXyW8qYp1rGm7mz0s2MPYs2Cjpi49GoS/87jVq0atatO6vuGhstpihZODVtxnttYZS0a4eN8kpVlt29yS6O2Ez42Q7qwI1AxpQ3b3NlhT7T5QoVKlPgw/6LH0++vPnz6NOXxxARg3rw3l3pegZVaLdmyZAhK8a/v///AAYo4IAEFhgge/9gYCB/+iXTTDe/ofSOOeaMY+GFGGao4YYcdujhhx0iiMEYbsgyCy0fUtiWPyz6Q9FDMMYoI4wiZoIJHET0cIgttjDU4o8uOneWiO1h48sLPegoVJBMAhmkkF8R+U8K7UEjjAtLRsSkli1CCZaUVE7ZXpb/bFmmll5GGdEIEdEQUZgITmTmnGlWRVSCEQkTkVT/uDImmmcGSmedTKFyxQiCgBOnUew5mdSThCZ1hSvP6OHBokU1CuSjkS41BSwRvSJDUppyyWmnSW3yQjIRsYqUpnxmHgUpqkYV4sSdSIEjApezFsUirUrpUYdSR0r066O9AiuUHJcklYkZciYbrbJJ1WJCLkgpEUu00ppKLVKV9MCnUJYMi1KXvnb7rUSCxFALSuoU4gEu6c7647pKXWKCHrHg8gojRNwBG69OqouvRNNI4kQOVvTxLrKbShQQACH5BAEIAP8ALIoAugAjABkApwAAAAEBAQICAgMDAwQEBAUFBQYGCAgICwkKDQsLEAwNEw0OFg4PGA8QGhARHBASHRESHxETIBITIRITIhIUIRIUIRMUIRMVIRQVIBUWIBUWIBYXIRcYIRkaIRobIBscIB0dIR8fISEhIiMjIyQkJCUlJSYmJicnJygoKCkpKSoqKisrKywsLC0tLS4uLi8vLzAwMDExMTIyMjMzMzQ0NDU1NTY2Njc3Nzg4ODk5OTo6Ojs7Ozw8PD09PT4+Pj8/P0BAQEFBQUJCQkNDQ0REREVFRUZGRkdHR0hISElJSUpKSktLS0xMTE1NTU5OTk9PT1BQUFFRUVJSUlNTU1RUVFVVVVZWVldXV1hYWFlZWVpaWltbW1xcXF1dXV5eXl9fX2BgYGFhYWJiYmNjY2RkZGVlZWZmZmdnZ2hoaGlpaWpqamtra2xsbG1tbW5ubm9vb3BwcHFxcXJycnNzc3R0dHV1dXZ2dnd3eHh4eHl5eXp6ent7e3x8fH19fX5+fn9/f4CAgIGBgYKCgoODg4SEhIWFhYaGhoeHh4iIiImJiYqKiouLi4yMjI2NjY6Ojo+Pj5CQkJGRkZKSkpOTk5SUlJWVlZaWlpeXl5iYmJmZmZqampubm5ycnJ2dnZ6enp+fn6CgoKGhoaKioqOjo6SkpKWlpaampqenp6ioqKmpqaqqqqurq6ysrK2tra6urq+vr7CwsLGxsbKysrOzs7S0tLW1tba2tre3t7i4uLm5ubq6uru7u7y8vL29vb6+vr+/v8DAwMLCwsTExcXFxsbGyMfHycjIysnJy8rKzMvLzczMzczMzs3Nz83Nz87O0M/P0M/P0dDQ0dHR0tHR09LS09PT1NTU1dfX2Nra2t3d3eDg4OLi4uTk5Obm5ujo6Orq6+zs7O7u7u/v7/Dw8PHx8fHx8vLy8vPz8/T09fX19vb29/j4+Pn5+fn5+fn5+fr6+vr6+vr6+vr6+vv7+/v7+/z8/Pz8/P39/f39/f39/f39/f7+/v7+/v7+/v7+/jLNMgj+AP8JFGiKiRVYAxMqXMhwIZNgtqw0VBiuYriJCjXYa9fBG0aBFi9+FFjBn78KI/+FFPmx5MmUs2LOSvnPZQUvY3T1+tXQm0+PKW2uMqVmCJBGzpwpjMe0adOJNk1WUMftBRAgjBLy28q169aFKGsKFEESXTcWCf0JVPvPpFuTCsOGJfuPbti1eNuudRtXYAeBOMaSTJuXrWGB7Qb/6yawnECeYgce1kvZH60pHQS1u9sQ5eTPa6f8KqdnA2eGLvli9OdEmMBgNVq+ZTvRn6sW3wTmxlhy70e1ipYk/tiOA1zKtQXqoTOyqurVtN+M+rjKTFvatWlH64ANI5JivqFAJ9wExDFDT8z3Yl94fKAgGdEU2kO04Vra9grxDxzVQY+xa8FUMsQd4LCn31sNqYPJEj1A0Ud8Dc02G00jSYhdQAAh+QQBCAD/ACyHALkAFQAZAKcAAAABAQECAgIDAwMEBAQFBQUGBgYHBwcICAgJCQkKCgoLCwsMDA4ODhAPEBMREhcSExsTFB0TFR4VFiAXGCIYGSQZGiUaHCccHikeICshIi0iJC8kJjEmJzMoKTYqKzgqLDorLTsrLTssLTwsLjwsLj0sLj0sLj0sLj4tLj4tLz4tLz4tLz4tLz4tLz4tLz8tLz8uMD8uMD8uMD8vMD8vMUAwMUAwMkAxMkAxM0AxM0AyM0AyNEAzNEAzNUE0NUE1NkE2N0E3OEI4OUI5OkM7PEU9PkdAQEhCQklDREtFRkxHR05JSU5MTFFOT1NQUFVSUlhTVFlVVltXV15ZWmBbXGJeXmRfX2ZfYGdgYWlhYmpiYmtiY2xjY2xjZG1jZG5kZG5kZW5kZW9kZW9kZW9lZXBlZnBlZnBlZnBlZnBlZnBmZ3BmZ3BmZ3FnaHFnaHFoaHFoaXFpanJqanJra3NsbHNtbXRub3RwcHZxcndzdHl2dnt4eH17e359fYB/f4KAgYOBgYSCgoWDg4WDhIaEhIeFhYeGhoiHh4iIiImJiouLi4uMjIyNjY2Ojo6Pj4+QkJCRkZGTk5SVlZaXl5iZmZqbm56dnqCfn6KgoaShoqaio6ejo6ijpKmkpamkpaqlpqqlpqulpqump6ymp6ynp62nqK2oqa6pqq+qqrCrq7GsrLKtrbOur7SwsLaysrezs7i0tLq1tbu2t7y4uL25ub+7u8C8vMK+vsPAwMXAwMXAwMXAwMbAwMbAwMbAwMbAwMbBwcbBwcbBwcbBwcbBwcbBwcbBwcfCwsfDw8jGxsvJyc7MzNDOztLR0dTU1NfW1tnY2Nva2tzc3N7e3uDf3+Lh4ePi4uTj4+Xk5Obk5Obl5efm5ujn5+jn5+no6Ono6Orp6erq6uvq6uvr6+zs7O3s7O3t7e7u7u7u7u/v7/Dv7/Dw8PHw8PHx8fLy8vLz8/T19fX39/f4+Pj4+Pn5+fn6+vr7+/v7+/z8/Pz9/f3+/v7+/v7+/v7+/v4yzTII+wD/CRQYqokUVwMTKlTY5NgsKegiLpz4b0K+eha+SaSoMII/fxEibuQo0KO/fyJJJjT5r4mTSJImqfzHUlUoLkmODMJFkuVAedhQHPmnyJ69hT7/aRgYj1sIflA7Klyq8OPJlQItCBQi9d/VeiUFchPoTiBPmgL9xYpiQVC9CGnjeg3rNQoud3womLyKNK2TZF6P+bBKEa7XViLCfQznlW/Xk4qa1PsoV2G9CnL76CFMEduLxgPvcKJMURUa0AKdXYhGeuESZagFWjrirvXAS3rSOv4n6Iaz1vkSUYAWOyGnC3yUQTs2KQkfclZ3/6zUxMgTP7+jz4zOWWBAACH5BAE3AP8ALIQAtwAVABoApwYGDQcIDwkJEQoLEwsMFQwNGA0PGg4QHA8QHhARHxASIBASIRESIhETIxETIxETJBETJBETJBITJBITJBIUJRIUJRIUJRIUJBIUJBIUJBMUJBMVJRMVJRQVJRQWJBUWJBYXJBcYJBgZJBkaJBobJRscJR0eJh4fJyAhKCIiKSQkKSYmKigpLCsrLC4uLi8vLzAwMDExMTIyMjMzMzQ0NDU1NTY2NzY3OTc4Ojk5PDo6PTs8Pjw8QD09QT4/Qz9ARUBBR0FCSENESkVFTEZHTkhJUEpKUUtLU0tMVExNVU1OVk5PV09QWFBRWVFSWlJTW1NTXFNUXFRUXVRVXlRVXlVVXlVWX1VWX1ZWX1ZXX1ZXYFdXYFdYYFhYYFhZYVlaYVpaYVtbYlxcYl1dY15eY19gZGFhZWNjZmRlZ2ZmaGlpaWtra2xsbG1tbW5ubm9vb3BwcHFxcXJycnNzc3R0dHV1dXZ2dnd3d3h4eHl5eXp6ent7e3x8fH19fX5+fn9/f4CAgIGBgYKCgoODg4SEhIWFhYaGhoeHh4iIiImJiYqKiouLi4yMjI2NjY6Ojo+PkJCRkpGSk5KTlJOTlZSUlpWVl5aWl5eXmJiYmZmZmZqampubm5ycnJ2dnZ6enp+fn6CgoKGhoaKioqOjo6SkpKWlpaampqenp6ioqKmpqaqqqqurq6ysra2trq6ur6+vsLCwsLGxsbKysrOzs7S0tLW1tba2tri4uLm5urq6u7y8vb29vr6+wL+/wcDAwsHBw8LCxMLDxcPDxcTExsXFx8bGyMbGyMfHycjIycjIysnJysrKy8rKzMvLzMzMzc3Nzs/Pz9DQ0dLS0tPT09TU1NXV1dbW1tfX19jY2Nvb293d3d/f3+Hh4uPj5OTk5eXl5ubm5+jo6ezs7fDw8fT09fj4+Pn5+fr6+vv7+/v7/Pz8/Pz8/f39/f7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/jLNMgj+AP8JFGgKyRVYAxMqVIjkl60rCyMm9KDO3Ihw4sRJXGjBnz8LGTVuTNjxY0iRI/+V/FcmjS9gw1Kq9Phvlak0Qn4cGhZT4sqB5bqt+PEjjU+aAlN4tEAOHAtw4Dgi/Zci6dJzWBWWHCEQx8J6YAWaE2hBYNR/4wT2IivQHy0oIwSZK/vPX9u7KttC6TVOjwe6duviBawkpr9fNzwG5tjWlYtwHiFP1XpX0RFzgScPNCcCrx46SBcn7PYC7783ozQnXGV0arQS2EQrLHKsruhNP8bJFuiJTlvZgmREE60OkYdqvxeOKqEnmbVflYTcEalaYDlMR3ow6RPtd/WBisMGK5YpfnJAACH5BAEIAP8ALFIAlgDJADkApwAAAAEBAQICAgMDAwQEBAUFBQYGBgcHBwgICAkJCQoKCgsLCwwMDA0NDQ4ODg8PDxAQEBISFRUVHBcYIhkaJhsbKhwdLR0eMB4fMx8fNSAgNyAhOiEhPCIiPiIjQSMjQyQkRSQkRiQkRyUlSCUlSCUlSSYmSSYmSiYmSSYmSScnSScnSScnSCgoSCoqSCwsSC0uSC8wSDExRzIzRzM0RzU1RzY3Rzc4Rzk6Rjo7RDw9Qz4/QkBBQEFCP0JDPkJEPUNFPERGO0VHOUdIN0hJNUlKM0pMMExNLU1PKk9QJ09QJ1BNJlBMJlFLJlFMJlNPK1ZUMlhVOFtVPV1WQmBXTGRYVWVaX2peZ2xgbG1hcG5jc3Bjd3BlemxifmpigG1igXVkgHdnfnlre3tueH1yc4B0b4N5Z4eAVYuGSY+OQJKTR5eZSp2bS6OdS6OeTqOgU6ShXKWhZ6ShdaShe6Kjg6Gji5+glp6dnJ2dnZ2dnZ2dnZ2dnZ2dnZ2enp2enp2enp2jnp2mnpyqn5quoZizpJa1p5S0qpOzq5KzrpCzsI+zsoy0t4m0u4a1wIG1x3q003K032u06ma08WW082S09GS09WS09WS09WS09WS09WS09WS19WS19WS19WS19Wa19Gq18nS26oK34ZW51K67w7q8vbu8vbu8vby8vby8vby8vby8vby8vby8vby8vby8vb29vL29vL29vL29vL29vL29vL29u76+ub6+uL6+tb2+sby+rby+q7u+qLu+p7q+prq+pbq/pry/p73Apr/CpcHDpcTFpsbGqMjIq8zMsc/Pt9LSvdXVwtfXyNnZzt3d1+Hh3+Tk4+fn5unp6Ovr6+3t7e/v7vDw7vHx8PLy8fT08vb29Pj49/v7+fz8+/39+/39+/39+fz89Pn56ff33PLyyO3tsufnnOPjid3dedzccdvba9vbZtvbZdvbZNrbZNvbZNvbZNvbY9vbY9vbY9vbYtrbYNnaXtjZW9fXV9bVVdXTUdTRT9POTdLKSjLNMgj+AP8JHEiwoMGDCBMqLOinocOHECNKnEixosWLGDNq3AhxocePIBX6CUmypMmTKFN+HKmyJUiWLmPKnEnzIMyaNG/i3MmzZ0KdPlMCDUq0aMyhRkMiTcq06cKlTn9GnUrVZtWXV7NOhar1H9euYGd+zTo2rFmhZw2WTcsWa1uBa9/KtSo37ty7cOfaxau3L9+/T/0CHqxWMOHDXvVyXMy4sePHkBFLnky58lVOmDNr3sy5s+fPnEE5OkSoTh1ChRyBAs26dWfLMjnNmk27tu3buHPrpn0rGbt4wIMDZ4cu1+7jyGtzgh1TdvLn0GsXWye8evB1x6Jrp72ceUvn28P+40b227p5dsjEQ+/uPSV49eqLlTdPPzv84+zbn3x/X/st6vQFuI5x/eWWn34l8VdgHU1QcAIjwIBBym3JCJdPG+9Up489GAqXToEGIoiSgvfpUgUjs9ThRW63zBfPhRkG5w8c9OkC4m0HiggSifel0QhtEQKjBRQnMGjFPRheuE8bSKaRxhttpOEPhv44+U4+UFBAwY83zpKjjh7x2KODEIIBzIlyeEFKG1Ne2caS92S4zxszcrhPGlemsSQpKnbpJZgJ+lmbkISYKaEcicziT5tKUukknXBwyM8bwPmzjxt8rtjll4AmJKZ4Qk6oixaFRkgKooq2ueSSM8bjD6T+duKZj55tZOonp50e9Kl4cmi5ZZCHJurPO1Wm8eabTjrJhpSOylprn5vmuqOgyaUTYDxrrPMOG/StQ+2f0ob57XHWBogGOuigUY956nyLa7gD7fotMteemy59ybgL70LyUpuLi9XZiwZ9xei7r6fjHoeOueii0QabiwL3ocEH65rwbrkAaJ3A9/DTBhtrsGnHuO/u2++3xwAMnMANo5NOGlPsoAXFFRfk2s04b9ZIOjz3nA7L6KSBrhLaSLNBzkjXnFY5LvsMtNDkYPDNNxMoHe445qDbcroNi2O10uKUY845555zTjnjYCNQLV/vW4oVFZTBzUDfCFT3P3e3La2BFbVgI0bVerddRS1T10JD4F+T8sI0eDOOuNLf2FHE3HkfxE0Fj4P5jRhheBQNDJlrzgUgCwmiRehgOmPBMwoJgQzqOn6Dxw5q2xRG5bC3900ZMjhTkDd2TMB67rEDYoEYyDxTCx48hEEN7sTrvg0eRehgxRjOTB09oFN3r/32MwUEACH5BAEGAP8ALH4AqgAYABgApwgJEQkKEwoLFQwNGA0OGg4PHA8QHg8RIBASIRASIhESIhETIxETJBETJBETJBETJBETJRETJRITJRITJRIUJRIUJRIUJRIUJRIUJRIUJRIUJRIUJRIUJRYVJRkWJRwYJR8ZJiEZJSMaJCYbJSgcJSocJSsdJSweJS0fJi8gJi8hJzAiJzEjKDIlKTMmKjQoKzUrLDUsLTUuLzUvMDUxMjYzNDY2Njc3Nzg4ODk5OTo6Ojs7Ozw8PD09PT4+Pj8/QEBAQkFBQ0FCREJDRUNERkRER0VFR0ZHR0hISElJSUpKSktLS0xMTElNTkdOT0ZPUUVQUkRRU0RSVERTVUVUVUdUVklVV0xWV1BXWFVYWVpaWltbW1xcXF1dXWNfWWVhWWRiX19jaGBlbWBncGBodGBqd2Brel9sfV9tgF9ugl5thF5thl5tiF5uiV9uimFui2Jti2RsjGVrjGZqjGdpjGhoi2lni2pmi2tli2xlim1kim5kim9kiXBjiXBjiXFkiXJjiXVjh3ZjhnhkhXhoiHlsi3hyj3p2kXd7lXV+mHSBm3SEnXWHnneLn3mPn3yToYCWnoWanYednoifnoqhno2ino6inpCinZKinZSinZainJiinJuim56imqGjmKWkl6illa2ok7KniresjbavkLSzlbK0mbG2nbG3oa+4p664rK25say5tKy7uKu8u6m8u6i8vKa8vKW8vKS8vKS8vKC7wJ26w5e5yZO3zY630oq21Y620pW2zZq2yaK1xKe1wK61vbG1vbO2vbW2vba3vbi4vbq6vbu7vby8vby8vby8vby8vby9vb29vb29vb29vb29vb29vb29vb29vb29vb29vb29vb6+vsHBwcXFxczMzNTU1N7e3ufn5+np6ezs7O7u7vDw8PLy8vT09PX19fb29vf39/j4+Pj4+Pn5+fn5+fn5+fn5+fr6+vr6+vr6+vr6+vv7+/v7+/v7+/z8/Pz8/P39/f39/f39/f7+/v7+/v7+/v7+/v7+/v7+/jLNMgj3AP8JHPhPl8GDCAkqHBitocOHDxcyhEgx4sKKGB0qzMgx2sSOGQVCPBXIFURV0QbVgviPIkmTDkUxyuiClkqSJFd5GTGC0c5HKkXxfHTKxRegtXAGWgUs2qg2MlNyCpQ00FRRSJW6EjoC6sxBnNo0/EIpEFaVo9iQjCrKq1SqJK8+EkpFbaCiI6a0EJICKVeigTr+wDbsCUiMHOqt81DsMEUM/vxhcPw48mSMLTNClnwFy6ZNnDRmxrgZw6pPWIYAKcOJ08fKki2b6/YCiEKECEtHBmFZYrffwLvp9sfbn0SB75Ir3+whMg7jxwfuQ7dv3+ZukSUGBAAh+QQBSQD/ACxTAAYAogK4AKcAAAABAQECAgIDAwMEBAQFBQUGBgYHBwcICAgJCQkKCgoLCwsMDAwNDQ0ODg4PDw8QEBARERESEhITExMUFBQVFRUWFhYXFxcYGBgZGRkaGhobGxscHBwdHR0eHh4fHx8gICAhISEiIiIjIyMnJCQrJSYuJicxJykzKCo1KSo2Kis2Kyw2Ky02LC01LS42Li8yLy8wMDAxMTExMTEyMjIzMzM0NDQ1NTU2NjY4ODg5OTk7Ozs8PDw9PT0+Pj4/Pz9AQEBBQUFCQkJDQ0NERERFRUVGRkZHR0dISEhJSUlKSkpLS0tMTExNTU1OTk5QUFFSUlNTVFZVVVhWV1pXWFxZWV5ZWl9aW2BbXGJcXGNcXWNdXWReXmZbYGdYYWlVYmpSY2tQY2tOZGxMZGxKZG1JZW1IZW1HZW1HZW1HZm1HZm5IZm5JZ25LZ25NaG5WaWpeamdma2RtbGJzbWF5b2B/cWGFc2KKd2GNeWKMemaLeW+IeneLdYGMcomMbZGKc5aFd5l9fqB6gKV4g6t2ha90iLR0j7p1lr93nMJ6ocR+psaKr8mXt8mmwce/xLjRzLbc0bTf1rng3L7e48Tj5Mjn583n6dbn6dzp6uLr7Ojs7Ons7Ovs7e3r7e3n7e3l7e3i7e3j7e3l7e3o7e3s7e3t7e3t7e3t7e3t7e3t7e3t7e3t7e3t7e3t7e3t7e3t7e3t7e3t7e3t7e3t7e3t7e3t7e3t7e3t7e3t7e3t7e3t7e3t7e3t7e3t7e3t7e3t7e3t7e3t7e3t7e3t7e3t7e3t7e3t7e3t7e3t7e3t7e3t7e3t7e3t7e3t7e3t7e3t7e3t7e3t7e3t7e3t7e3t7e3t7e3t7e3t7e3t7e3t7e3t7e3t7e3t7e3t7e3t7e3t7u3t7e3t7e3t7e3t7e3t7e3t7e3t7e3t7e3t7e3t7e3u7u7t7e3t7e3u7u7u7u7u7u7u7u7u7u7u7u7u7u7u7u7u7u7u7u7u7u7u7u7u7u7u7u7u7u7u7u7u7u7u7u4yzTII/gD/CRxIsKDBgwgTKlzIsKHDhxAjSpxIsaLFixgzatzIsaPHjyBDihxJsqCUkyVTqlzJsqXLlzBjypxJs6ZNhSdR3tzJs6fPn0CDCh1KtGVOKUWTKl3KtKnTp1CZHo1KtarVq1izal06davXr2DDih1LVmDOsmjTql3Ltq3bt3Djyp1Lt67du3jz6t3Lt6/fv4ADCx5MuLDhw4gTK17MuLHjx5AjS55MubLly5gza97MubPnz6BDix5NurTp06hTq17NurXr17Bjy55Nu7bt27hz697Nu7fv38CDCx9OvLjx48iTK1/OvLnz59CjS59Ovbr169iza9/Ovbv37+DD/osfT768+fPo06tfz769+/fw48ufT7++/fv48+vfz7+///8ABijggAQWaOCBCCao4IIMNujggxBGKOGEFFZo4YUYZqjhhhx26OGHIIYo4ogklmjiiSimqOKKLLbo4oswxijjjDTWaOONOOao44489ujjj0AGKeSQRBZp5JFIJqnkkkw26eSTUEYp5ZRUVmnllVhmqeWWXHbp5ZdghinmmGSWaeaZaKap5ppstunmm3DGKeecdNZp55145qnnnnz26eefgAYq6KCEFmrooYgmquiijDbq6KOQRirppJRWaumlmGaq6aacdurpp6CGKuqopJZq6qmopqrqqqy26uqr/rDGKuustNZq66245qrrrrz26uuvwAYr7LDEFmvsscgmq+yyzDbr7LPQRivttNRWa+212Gar7bbcduvtt+CGK+645JZLJD3opqvuuuy26+678MYr77zumnsXvfjmq+++/NprF78AByywvv7WNfDBCCdMT8F0Kezww/gyPBfEkbwQQwyNVPIHKPFqzLG6l1zix8cQsyuxXA9fokcj9ERyCL0eqwuJIiXDe3JcEOPBSLoaT+LHHTE4YrHIoPT8xyVAx6AI0IyMDMnFjFRicQw7O3wzXCXjcXHGf0yyMiSDgKLzyEZfwrHLM4vsc9F+rO3yw1e/VTM9lbTd9cYz0wNJnNNF3w3K0zEckrYfj7xMz8obv2113G09XDfHavud994jRzLIJH9MLrgiapNtNyiKK8x44w8DTrXRf9O899NpXN61xWrU4IQKfAMedeKGiz76WnMHzIRAU/Te7u68C7+vBQNlYry6xKu1PMEDPZ9u82lJH3H01lOPlvX0EtRFHI6Eb7z2ZXE/r0FxCASI+DWTT5b58iYUg/rtuy9WQAAh+QQBQQD/ACwjAQYA0gG2AacCAQEGBQUMCwsWFRUiISErKis0NjY6PjsxTS8jaBgadhINgwoXihQljh09lCxKljVXjj1ffklmaVhlXVhlV1OAS0iwLjPgERb6AgT9AQH+AAH+Bgb9Gxv6MDD5QkH6TEv8VFT8XVz7ZGP8bGz6dnfvY43VRLLCJ8DHOsfESs2yZNaSgOJ5gOdoat9TRuZCLeE7HNkwFuAkD+YaDO0LBfEEA/ADA/gDBvwJEfodUugrkNYwusoqxcgTwsMEv8ACv78Dv78Gvb4Rs7ZBlphvgoF/hX6DlX6EqoCMr4eOpo2Rm5GZnpaeoJqjqKCmrqaqtKquxq6x0bG10LW8yrq6v72/wsHCxMTFxcfIx8/OwdfXud7Tr+HHquPBoNvMl9fakdPmlMfxnbj4q7r8ub39xcb+ysv+zc390NH31tfn29zf3d7c3NzZ2dnT1dXQ1dTK2Ne74trJ5dfP5tTZ5tzh5eHl5eTq5+Xy5eT85OT95ub95+n86ez35u/v4/Pv3vPu6PHx6/Xz8fT09PX09vT29/b6+Pj7+vv7+/z6+vr8/P3+/v7+/P3+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7////+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7////+/v7+/v7////+/v7+/v7+/v7+/v7+/v7//v7+/v7+/v7////+/v7+/v7+/v7+/v7+/v7+/v7////+/v7+/v7+/v7+/v7+/v7+/v7////+/v7+/v7///8yzTII/gD/CRxIsKDBgwgTKlzIsKHDhxAjSpxIsaLFixgzatzIsSNHFoEGeRxJsqTJkyhTqlzJsiXKIYQKFXJJs6bNmzhz6tyZk4XMmTyDCh1KtKjRoxl9ykTKtKnTp1CjciQSZ6nUq1izat3Kc8KSJ1zDih1LtqzZs2jTql3Ltq3bt3Djyp1Lt67du3jz6t3Lt6/fv4ADCx5MuLDhw4gTK17MuLHjx5AjS55MubLly5gza97MubPnz6BDix5NurTp06hTq17NurXr17Bjy55Nu7bt27hz697Nu7fv38CDCx9OvLjx48iTK1/OvLnz59CjS59Ovbr169iza9/Ovbv37+DD/osfT768+fPo06tfz769+/fw48ufT7++/fv48+vfz7+///8ABijggAQWaOCBCCao4IIMNujggxBGKOGEFFZo4YUYZqjhhhx26OGHIIYo4ogklmjiiSimqOKKLLbo4oswxijjjDTWaOONOOao44489ujjj0AGKeSQRBZp5JFIJqnkkkw26eSTUEYp5ZRUVmnllVhmqeWWXHbp5ZdghinmmGSWaeaZaKap5ppstunmm3DGqaMSFGCBUBtEFCAAEXUM9MQBAwhgwBJ2SBQMFQcIUMASfxzUhgQDDEAEGwNhMcEABBTRp0BVUIBpEYX+cwiiiioRiECF/CkoE0AF4oQB/gIc4EQiAv3BhJ4HgCWQHUoQECsVDrUxQREIBdIEoAVUMVAdEvg6wARtTPQHEYFSoMZBhDDhqwHACkRIr7HaiWoRgR6wxkCCQCoABaH+R6e4BrmhBBMH8DnQFU+4wYYSixISEaISVFGEAUocUhAdE+TqxAESFCosBVTQS8SpV1AwQRVKHFCEwYhOYEXGSgj0pwRXFHEAE/8E84QBRZSc6z+INFFAEVYQcQCwgixRgBJVSHAAvAoJS+xBfzhRRBHJDvTHE1WsQQUFBzQK0bQEMH3AAUANlKoASmBBbbSFMCFAE5YSUGgh5D6BBQUF+JtIs1RgYcABAb670AT2GkQI/t6bOhRMERPYSQgR0BbkBAVOCLQEBWAxwXjKdCob+T9oU+BG5W7880cR1m5u7T90SDDBH3QQfiobEkhwCOqq/+MG3q7D/s/aQy8k9EJWJG1QIlUQAHRDaiz6zyJtDKCr0hbXWu8/gSzPPAEhBwJ9ynYIkLgdAejaBgABEjCAAQthSndBB+hJwPgDGTAAAOy3D8D3gJ4vkPfgE0RAnQI9vUQigEf7zxMUaMK0JrCpVx2lAJhaCKzqRz5foU8gByCA+9qnqAMYIAD1ix/5BrAEgQjCZv+onq72RgHiCSBzlKvXIqgQAKkFgwAB4tzvDMI3grjhAAEYAKj0Voc1+PCH/muwQyHUQIEiCEIgTXgcQTjnP9oFgnB0yB8FlMAsCZzqfxQ4ihOGhTvd1UoJAgjAAfxHkEX8AYg/VIMgCOEEs+2KAhIoSB2M5y1+mVBcgztAIqgggFAhwmKLaIIABhIMBvpHhnfLG6rqgAWTMcFfDyGiEZGoxIEwUSBrMxUUpbiEKl7xT1rkokJyp6yBmJENAIwaRNjoxhDCUY50/AchkHZHb9lsj30UyB8nEMhBCqSQstmHMPdBkGEOMyqIVEgND0I4FFYqUQKIpjQnwIY/4C1UJhuCD7bZAzjIUJj64x+0hAlAARKugA8cyhZrhxBS3skAKCPI5qRJz6ohggoE/vCfHQ4wgRB0gAR4+MccO/iPD9JNhN6aQAnbcEJUqZCFLoRhbIxZTGMSsygWFWYbvknRgizTIIT7HSF6iMYgFuJvgZMlERAghB+41AfeNIAThLm4xjFuH8GY3OTQJtGirLOLpTRIGwZVEDOWdA1q/EfwUGbCC2RAAxvoAB7s8CzlEYF5zpNe9KYXQuuFMHsCYQP3ginMinaUKBndx0brZNGBEGINN5wAFdYgiEI44Qls2OjMpPYQgFkBaQpw6RAQMAQ4KGEAuRqZwxQasXpRzGJVWEL5eJLRog3rrP9IhB3coC0mtMEOi2BDEbDgNLada2pFqFoVEoUBDWgAABcg/oEd9KQEN3yNcmJrwuvciDbjra1tmYUbFq42m2MO5JhlFcgwJ2CHYWKBEGmNrnSnS92MrhUL0W3DAdx3gCsggl8CQCwTmltdix4qUQUYQkt/oIADFJYJRYCUpCiFyUtlig4X7ZQAMqWEJQyzDmoor4AHLF3LFiG6f1CC+3RIPEDtVwJtIPAwp1WuC7j2tQH4wB9Otq1uyRJcP9MauWJF34Kqi13FTa5y24rWtLbhD2ltCSHg4NIaw9SsOFZxiy36hwhntCWG0IIFWuvaDZCgOsZdMWYpm10YR1clgGDBem0MBxwfl8UYrayPsZySQnhBBjDYwFOjGtDpCHgo033x/j7sQAF6RnMJRzTJGligAx30IAhB4GaVldxWLgsFwRFmo5tj1S6SAEIFNIBBGs4ggn+WWUIDVnMiSArEQATDzxSBQw+26QM8YwEQ//gCCrRQFkDjNBAlrQOtOrIIM4TAAyIwAQ1ccEUMPfkfmKXodDMCByDU+Ac3DvWoySJdPmM6I4ggg5g1gIELmGARG7p1rpN864v0+tfBFjWpxXLsgixZI3oAwVOLfORoxxjXSUa3iqttkWtTWSDaHsu3ETLvi+ChAxeG6gc4JO10n5XdFFEEjbG953iHpd4H6XZFwp1vDpQ7Q8VW90X5fOUfW0QRXdDBr4Fd8GFzReEJTzdG/hShBhhgYMwdyIOGdi1xs0484hMJRhfUi+c8+6Cb8PZ4ViwOkXNXhOQwkIEJROABEqgc4j6neMUnbmyR+23mLdCCH1KQAj8UxOBYAThDtP4QRfgh6F7wUJ913PKle7usCE9IMLgwhKj/Y+pVv7rOr8J1hdSdIer4ugzCLnbjinzaZEdu2geiaU7/IAh7hrvVCYJ1uie9IXdHCCJc3QELxIDvKz/33/29+YvCvCDufmniqb74gTReKpEPOc8bgogxLBsDKee35gPPedq//PGE9/W73056uW8767hfSOoLggdxX9jhsrd455m+ZGoH/x+h57hAFO97rTxf+CA/CBrw/n3hDYAg+SxevsvPfvvVE2Tgu6c+4+eOerJTZPAGuXfDH4505due+Z1f+rz7wIONB1v9psd+UAF/DkGAAhEIKmByKHd09Wd/TFd2Sldx+ud0gSBlNZdnOMd7cbd+v9d+7vd+TocQhdAFM/ACZPBqRgd+4Xd/42dlErdkiLACOrACf7AFJ/AFqzZ9vceBwPeBIOiDBRFkMvACpdchjyd+ZueCTTdxGDeDVmeDOEgQAJhzHTiAIVgRg6cIWgADMFCF57GCBpgRAIeEEahk5DdMhbdNh7dnUJiDGliEwuaFL9h0OBGGBXiFhlAG/mQBMIB56bEPC2MAT4AIAnEF53Mz/oSoErpme2fYghKYY/vAA7onegLRhlK4gwHohfvgBhLAMgGmVBJQABrTNzVhh3fofobgek8FewyYHs1jBxsGY/9wBVZ0hR7RUfnniBBohpAoiQRXiTfohlMYh3qjBKZijNCmBkrwBLaoiEBoEd9WfOOWAci3HlRABEcUOLRyBQVgAA0TDCkBhuTXiEn4iI8YiZMoff9giQMxjKf3D+cCLE2gBI2iBnnCOIlYis0Ije63ffnmfezxBEXgLxJABYQYCITwN0VQayNhBQ75kA4pEA9ZEBNJEBBpkRU5EBkpkREpEDuwcUBQSl5wAipgBQTRBSiAAl1QECmAAn4oEJkD/ixPoARRVAiCcAgC42E0cZENuZH/4wEXRo0iwB7XKAj7oI3qxgajYxL99oBkuIvqNo4p038IwY46uIGZaBBroARUsA/zyFchNC82YYo9l27BsAYVcHIZEFWtiB6vGIvCZGn7wAQTw5Sz55QsWI68+IhcsAMXeHNsGIyXiJVUWIzHqASLsA+FAF2NdDwuQZZlqWJ+8AJCh4JtmR6B+AR1sJD0cgDWAm0l0ZRSqZfNx4hsoAMtgAVfcAJbYFxW+YbVFy+dWARu8ARx04kHsASQRBOQ+RAd1QcqMAMqICKiqYS7WJp4uQ9RNgRZkAir2ZrJ9ZruKIBGYX4dYVGBQIIu/gCaHxJxuUia37liiSCDXRAI+/CcrimY7YiJhdkUw4eFw5QIWhADL9AHxFmc5liGyHl2M8cCfiBM6Bmd6nmVcPiOWWadG2FMawADMSCH5uZn4Xmc35mGPwAEGViJFCWd7EmM7nl9GKGYZAACF2ABKvCAKhihT7mfAuGLu2d2GkqYHMoU70kRhaCKUOUBehAiY8iIuqii/8CilHiGL1qg1Llj2WcR0uha1Eh/4AeVKFp7yTkQQKqOLjeksSmjCLoRZ8B9RRYC3bmIPJqfEhqm/feLBjFMVsqDHfqMG4EGFqak1WiEfvekyYl/POoHH2mmZ7oPaZqVa5oSh6aAa4mj/g8KhlFqnIAXpYVggXimZ/TGp8GYXNPpoH+2jxlhCFwgAy5wgkWXo4WKi3RKjmUYlTNHg3fYhpK6oQaKZpaKEVv4AmkwqhbSlIcqpolKflygAyxQYlsHqTiYqjC6qkHRmxDhBy6wd3p5IbQ6mnupn5vXBy2QmuB4qpF6UZOKpWyKEYCwAsLJrMp6l7XarGPqlIbAAkOgBVkDeb6aCMBKpJTKZNlqEZiqqekKlRWyrIialxFIoUFwoeqKqtaqqkUKrya6EYUQoiOqia3KIN4Zqj2aZFMabNT6q2V1rUdBrAtRCGKwbBtAqN46Iezmo+J6qyuajhIrEexasQL7rjqB/rEKgQYfMI1xmqyQlnQiG5UPq2IRu2c/uA8We6AFqxFmwAH/OJSiCh9YdqR2J3g6drMpCrH+x7MTYUw/63Kep7RiuLATcQZvqgFLqnry4YAfCqZ2Gq44C57JtQZ52qI/WLVL+IJBe4taGxHAGWYZMKieerTtwbRwGxH4Oqp0WraUw6g2568gqHjG9Y58m6VyG7cXUQiZuqkomLd6yx6Ly2XLRV778FwS1rkEpmYWNXNdAAgt+Z/GpAKsaVEBiqbVKkyIa0zaNkzxdLmA9wT+JUwA5rm6W109ZlHq8Kqmu7ueWwjYJUxg6Ry0i25+C666eLYjC6VZoKu8yhE+S3qJ/iuAtDu38BmvEmGsl+eb2vsdDqi9f+ukYeqs+/AH0foG03qLr3tRivtjjEu93BsR2yoDwwm+9Sse5bW849u8gVsrw6QIMqgFkFS6SZa6YVi9VUdRWMcETTBgcOuYY7u/DrEIXBADLgBqkfkg5eu0eckDm6aGF4rAKqbAw/QFBfi+xPTAEQyq8mtRFMyPLqs1J1h5L8Cyqhe++dGwTeuwSVimbCuuSqbCkMfCMQrBJup0fjfDPVvDbbCxq+ix+ou1+3GEUOqtSCjEQWqcEmfEVwawrjt9DqxzSgzDaExOGjGjCiEGMQunTNqr8/sfWPzD5+u8ZcfFVJqf0MnE60q1/mbnwjE8yMPkxFProQ4RBkTbfUZbxTX8GxlDAOejBEaJyBcBpkcLwnW6olG7p0zXxwC6EPc0AQUgyRRgBYcAu6O2xHwblRllyBLBxgnhxjIbx9g3x8zhBFJjLBSQymjndJmZiH9zNW3ghgkBXcn1tHeMhGvbxWJ6ZWC8Ym24BLRZCFN3AjeVwqssm544TE9zAKaCi7Dsv1acEFZQAq21lh9AueqKy+Dxlqr0D1UwAYHQM8drVpybzPpqvmZLUW3glzUHmJ78qNGMbmLss/oXuyr2LYeZmMr4BMo4U028xu68EH+wAlwIAp16yI8MHEoAjotQBKv2yyZalP+AlEXg/gQJeQCFRn75fLWbnKwB3J9bgAJfwAcsiQLBK0yoC8rn2RBx8w8pcAJdqcpaILsRvJVd+ZX7QAVKEGFLEDKvTNGOKxGvugVZa8HIwTk3hJh0WBACSZAG+Q9E8AQzYQAtXVEocAJU19ZDfQIo4NYtCddy/dZx7dYnQNd4rddtvdZxjQIu4AJzzddUl9d33daGLdeJvddsTXUZUwEUQAGNjdirLExKLC9dOZP4NZNrsA9KQCxTXcFVDRF9sAL4m6BajRxEAABN0L72+g8mjdIqHQwsTRCpVDUOmddwnZIpqdu83du+zdu6vdvCbdi/HdzFDdctMATAbdzJ/dtr7dzN/g3dyI0CFXA+0p2SKkAFDzk0Sv0PXwnbT/0PUU0QeGJBEvCQVMDdENne7v3e8B3f8V0Fpu0CVSDf+J3f+t3eVcDeVqCTukEEdXIATQCa1gnPUkMFVmQFS/moKoACfcDDGLGaWpBxLNAnmqzFxvUEXlEEROA/xqQGdZBkDB0IyAiPyxjRoZnaCJEFMPACV0C/LE4cHy1LEjDSxBSCmbmZlmYyB+AGxlxRDx7hM24Rq6kCqNkt1aXhMV0FbrAPMaPkwyTi6caJLFObwPLN9EgSHe0HLRAD+SvjA8LTEC7hFSHCeOZSPWCScGt+AVyOUz7iRY7ac16jIloBKnDPom0d/k1wRa7Sy/o850Ohxz5QShmerzRVzftACFdQ1shF5fD6uFKsb7F6nWYeHGAkyeBsnrLcFIRu6ED8vMKEBZKFKQVAMohgUZDespf+D2fwxl47s3R+HQfg2h1dFJ8OuMt8f8u4jE+2DyJOsBdBBovcpSNx67rhK5Isyb5c0VCR6/zM5Ge4MJGy7EyQUcG+E63u6kAJx8e+7b4hAa69YmoB7Yduq8blBEWtz7iW7TlRw0KmlhvwAZXeuOuBueBOElngl5x2c2x+7qIuuMXk7lb71TI+2gvh5TFQApO74oIeHTxXziwBCOurCFmM6Ewu8MdF8G/7zBV8EYFg2i0w7lye/u/P0coSrxLBUMCVbMf9vOsu720c78p2bOlFvnYw4AL26YwIzx3Z+/AewXYsYJ8ki+4vH/MDT4pm6Hw9H5lNfxBa4AIvgNUrgezM8fN2ylxkTuTDhLo7DalgYAjGBAhx/fVD/fU9jZpbZkygK7xur+pyPpdLv262Z7v/FWBvP2Cljb9p1bt5//fEO2HSMb4mbxFonuYZWPSinvEAPPPMe/ATYecdUAEtUK8oYfVXH/FAjxGEvmeKj8dvDrgz3+Z4nNVPjyphwLEfsAePWfgL0vnoe/SML9OjX/UpbwawTo1h0PqYfyCwP67Sjugar1y1H46WXBBjUOxQNQIt0ekT/vL7nx/qwJ/0Y3n8BGEG3R7ru88Szi8h0H/xRj/7oq/03G/9AxHvd+t9rF/+zk4hWsDvnJb44L/4wt/45G/77a/wJqDRJLD+7J/yAPFP4ECCBQ0eRJhQ4UKGDR0+hBhR4kSKFSMGajHkzaJ9+wp27EgQpEeRIUuSHAjyo8qULFOqqWNR5siRDwOtkNFikcyZNE3yBBpU6FCiRY0eXRhshQ4tglwKrNnyJ9Sp/55arRqValaYSBv6fBiMCwwXfrw6BHtW7Vq2bd267TKERR+sKLfa1bp1pd26e/Fe3df1rVS+DbW8eLFlcMK8ix0/hhxZ7RYdLdboPfk362a+gJ82/g4c03Fjhn5ayFgh2a9q1q1dvy7Io0cQ2j96xMFMOPNe3idX6xYpePFVhYXGgLhQQYWh16RhP4ce/SiPH9Wr+4CT++5u392l/t4eXPRg5wcLhdmQQcMGEHuaE5ceX/58iNSt/8Cuva7mzpx7Aw/vpfHeKs+gMjxQT4MMOAgDtgLpgzDC+eyzLr++uAtQP8/6mwo04QisSqExONCgRA04IMFB+CRksUXYKLwuuwsB3O8/DTnj76MP23qwIDI8MHHBBt8L0UUjj3xsERjxk3HDHL27kcMnBRxuRYMW4aICDDLIgD33VCwSSTHH9KoLIYLwIU0fbotyyihtrJFGq3Zk/stKg7SA4YUSQPCAhC/BLIxMQQcFioshWuhjQ/Di/A7KGTP0cMA67SRIjRZiUIE+SgnltFOF/KiMjWAUxZDRNx3NK1LyNv2nD5xWCEZTVj2lVahgijjggDZ2EqiIAnKtI1a1TNMBC+ZIpRE0/1D9DDA6g6GCggOUCGSgKigw4IAlEqmI1UJwaqFaWcOstdyhqJggkCrShaoIJgghd6gUWtChC3GRhRTfR/dN1VlJ/1mjiCfUENhaJbCId6Ee/1GEixhcSEPCWc2lWKIinCgkGAP+aDfbIgTxSrbagujh3mWT1TflZrn6lwol2ghGCSU82udaAyawols7BRnjgwtO/viCxYUrJvohIp5A5J+NSfojEUIoeKIQpJb0ATd+cSz1ag4XVbWgJ5RQ4x+ZaSZEEESaKOKyiXZGT70NQvhz3ECLpjuhRA4wIO+bicBY4z9Q6ogJaqe+7wcgqhDICsULUjxnghp3PPHGGV/88coHmtzyy/+BnHEqqCCigAIGIOAACV6Oeeb9sFACcYk6T4iJDhJcMEUJM687d4kmEGTdQEgKZJFgJHCCEMLvq/pUlE9WPl+WDxKY4CfINv6JItpY204xSDQRRaEn1l33W3PdlYomCJEAbwnENaoQqq1WucP44ez3+YKCeUJaJf5Y4wks8jcABaggkbQcxBBguECQ/jowpAgVMHwPRIhPJHgUpQihcMnTGtfmxyz52c8vKqFJRCQYKLHAgAjp6RLcJDZBCLaQNV7QgRDUlKaSNc9UytoaB900p38ZZYQH2QJivHAcD4QhbnIbmguViBQuVCZRG1xeDhs1Red1hk4+ZCFBtOCCGHhBTD9cYhjdsoVD+WFUUKwi/Zh3Q3+tBYwDScNpYPXFLIrRjkSRjQ9GFgdu4VCNHZSiDetnxR4W5YeCEAOfThCDFjCHjg68YyR5QjWTrdFJWUMjGz3olQkKggTp0QAGQIAHQUFSkqekCCUzlMFS+ZGDGtwkUvLyI9otkFNJRGUuDaJKU7Eyin/84w5D/qOWxmzPRCey3aBwqUtm/oOXrqSiJgPpyzSKh5hXGQOQSpQBW94yYc0EpyGemclBAlOHmLwiUfJiiC5YYEspPCKZlgnOSCaCBWeaYQ9A1sv4CdOSWJPTMDn5lER0IQZ6AsEHjOipedJTjIlYygoAUc5XtpKcAF2lQGXpkkUYNDEVa6hDXeiHiAJCmub8ZUWjSVEqDRQlBc2TYkAKPpE+UGS1qeFJVVrNlf4TkDoqZFBGEohEdqACL+DCW9oQpgLWES0hNMgfKADVLKbFqTWFENX2yVJBrmya/URnUIECkkB8Uj0YEEE8z7LUuTX1qgozpVSpOsEfvhWr8tEqT7v6/tOdak2Y6QSKGkCSzVqKQakJg09IoUoQucKVZiEhzTfv+qILbtWrKNUrNf0aVqQItiPG7F4y2cJWxxpksXep6mn/IdfIslBfk42PGvKq055KCZM+hSUhO9uRPpgggdvsgGHdQlqFeDVEI3QJJFkbFbAw1ySmhC10tNCCIFQ2s2ANKG4tGkuh1EGwcZRBBVC4gbQedm5UtKtj7ZRc5OZGtdEdylyTGJch7KAHM+SBZfla29xidrMBvaJ8N+XdLebkDolUqFrXilim4ii1I5FaBI9r1QnDF4vOLdBNqxsEOSjivxn1qT+/ilF+0omukv2HGHxWARisIMKQIS5jGiyl/geDpBAIKwxxQPjcCltYnZAFcoYvOAjkFtnIRz4tkpW8ZOSaOMj7SRgo0apg80p4ySKU4I1BstwdN/fKPo7vk3ecEKoRmclnVnIb/oZmNivZyY+FM6UyAJsYf9DIBMwyjvfBZZLUOMjvBbNFugxlzUzADmVuc6IlqGZFN1qCMAEJE/SyspM8YQnbIwiKHO3oP7B105vWckc4Fuj4UFjIyBtElUDCaJryyMv7aqaN9Uzq+SCZzEOO9ZFdVORJ7SPU56X1mPIIhDTxINXBRiKgj9KRUCPb2c+GdrSlPW1qV9va18Z2trW9bW5329vfBne4xT1ucpfb3OdGd7rVvW52/rfb3e+Gd7zlPW9619ve98Z3vvW9b37329//BnjABT5wghfc4AdHeMIVvnCGN9zhD4d4xCU+cYpX3OIXx3jGn0MFABwAIVUAQMg7PpAriDzkHo/IItwg8gAY4CB1MPkABvKHmAskGHYwOQEEsogmmBzlGoc3x39eEJCL/OclFwABBgAAARAhImsQuQAAMIAnFKQOAQj50gGgc5pnHQABoMA/AhH1rzvhH4ggOwCAHm+hL8QKIzdIHSYAAJc/ROVbX+3cdU4QmMv8HziXOc1lvgg2MP3mTD+7BL6eCMWrfRFLX7tMDDCAug+kAAIQQN0JgHkCVJ4hk0965Q9AgABQ/l5pAxDAAH5lAKWrvgACiZYS/vEEvB3A7E3IVQEm0AaCGUACWIgPAaa+EAMgviCj//reB1J8k5tcAAfAugAEcoCvH3/4f596IZxw/bELQBDC9zshvl6IkEvA5mqPfEWsgLOC/EENRHDdIRbBeIw1ZBHuCoS7IpyIQHwNe3/4g0W4giKoArRpA9aZALFjgmmZPbApCERQgiJABCYogkCgwCaQDiWAu4R4u6HDAp8zCDuQAAIgwRIkgAJQgjUIAAFIwH9QA7zju+sDvEAoPr/rvkDAOpQTvwAgvwAYiGBAv/SbiPWLnIGwA/gjCEIoAioQloWwg4JxgiWgA4JwGewh/rkisAKZ+YMn9LgnoEDZoz0DIAI3GIg2EJg/WAJJc5kiyMANRIgOJIgjHIDoM7+HUEEWFIgXVD6B6DuBmMEaFIgbzEGB2MEe/MEgFLdBQjHWIMIQRMJeIYAJcIP7y5VcmYArMIiAGaCvYQMqfJmByL8iWIEXKIAViBYDKIIlcJmZEQRBIIQIXDO0oYM6UAKzq4IIhI4908ChOwg4PIgP9Lx/aIPmyzk1EL7Xc0EYHIg+xL4B0D7uY7rvu75CLL/zKzdFBDbJ8AkiDKEjdB1CJIIlYJ+DaAIKkAAqgEIp9EQrzD8icAEcsIEaCIADkBZtEYSxGYgq3If8kz00VENc/nwOXXTDXhzIgQDGghBBEyxBFLw7rlO8PfwHZgS81Ro+wjM8nJM+RCCCxWu8f1gE4TM348pGyJAgbqQJb/yHREiEYLi/Jsi/SjyAS7wS/NO/dfwHJRTFF7iBnbwBE5KAbDmAAjCAJyAEQkiEJSgCO9gHKyDAfwgGCrTAIsBA1xiJP9jFEKEDCcC8rJuAOlC8pJO6eXw6shsAJjACIxg+mPM6vOu6qfu6sBs7rwsAs0O7kJM6REzEDsIKqTA0kMACePk0RzNJkMifzmsCOsCVAyACNliyNvjJxdwHJqCCfVAC1jsAKqC9AiC9GuBMpluBJRiIscG9m7mCjkBKcem9/t+zNJDwrsDktKuUoKIzOQN4wuY7ADS7O5EjgAdwgAiYuj2jPpHzO4oUTpvDOd3cuZ4zupAEpEUEEZ9gNV1DCkJgAZ7cSaSCkjELyBHqtPZai0U4gw6AAAcwAoYTye1ctD9Yl0pUAqWErqAAhBbAAevEARYYx/OkSiPrTuk8CjxwJwsoz4VTMkCBzjXjT6J4g3dsASzoAhdwAS64zxNrNZfyToG4AuFrPhacUIVAhDmYgg1QEAVZECgQQlW7M0KrUJ4AhBVwgReYgfo0qVI60UBkAoUsHcZ0ToZAhClYgAVQAHfKAAyogAVggDkoUbcAo3LiNRWVT55kgVGT0SVF/q03AgpEiIIFcAAHsIAu2YARQAIGkIMjdbUD1Qpbmwgu0EmefIEuMIM2HYOIOZIku6wpHQpCgIIG6E0QIAEzGAERkAIwFdNem1FGGVCJWIH55MkZsIBj8hMjcSCuUraJQIQr4M0AHQhE+NMwDdRrIlP2OlCHUAQWQNTrZFMz6JkR0IMWoVKuQtGRRAjwBIEqeIAGaABNvdRM3dSz8E6WSlKaUoQVmAH6tE+BwIMQQFVVrSNWpVKI0AMRuIDxhIBafUBczdVleyNIlVBX/UFgfdAVyBN7GYhiPVYIGVRlldKF2NH0uIAI0FILkFaCwFRArVZDWtU5JYxlVQilmIEX/siCfyhWEkjVcDXWgK21crXXKX1PeJWCBUgAC2BXCxhSBpiCaZXXeRWKEMJWB0uv+wFWfiXWEABYghBXgpWPTt0vhI3UgSCEKGAAJGDXCyCvI2CAKKBYW7XYsWKJjKWxjf2HFW1RHMDOjw1ZgR3Xgj1Xcz1XhFjZBeDNCiiDPv1SmlXYir1ZnSnTg8WhOCuQ+LTOYRVakh1Zcr3ak81aFGWIleXNIxiIQYjamq1aQXMtrL2kVkWILkhTUm1TU/2Aof3Yoi1ZuT3ZOEnYZRxPtV3btp1am31bLDNZEesz/hRV61TUY9IAEUADkR1YJNoux73XhaiD8XwAm2XbmXXb/sXNnsa9LR6TzkO1zjXNWzHogBC4XKIlWemQU7Kd21UaiEUwgw9g11kVXcS9Vao13Yco1OvKWVvrAxegzxVgn96VXcz12+h4VMC1rc41iDwQAQvoTSZ4V4EYXakdXsUtXobYVev9jV7tCIyoT29FqnGE3tnt29pFT51NXf6wC0Swgg3AAO6NgP793n8I39It36dyK9zFqLjdB0QQ1SfFAz09oviVXvolktt1k7K9V5CwUoatgAeIgORYgAaY2MMl3cQtYAO24M3NrR0LVRxoAbN44EYlCAmm3VJLVvTd3JFYWQY4ggeAgAvgABE4ggYQXwEWXoGIV/IdOAHLUbi9/mEEvl6E9VkZwAEXAD5/heCCoOH5NS0M21DGrVcoXmGQWFrejICn9VIiJogBNuGD2wcnwBuksdDSucykEVTawmNp6giu5ckV2KcYjuAPiN4aFgk3+MkiECwXlIBfKQKxEiqDFeMcJuMoSNvDVWMSLuKzo1aDC4QDsIM/OIC/+YcrWJ8vBmO9Qlr83YcukIHWLdVskuGB2GJ/zdwklJlAkJmdUAMlmJ4mxrOjxeEoGgk6YFfDBV8kuORjLuHxRTjQAZkJwAJuuQKhlAA7aEIKfdxIBrGf2ofI5UkZWFQTEQFSmmFBll9ant7LGKAm2B8XDB2osWNsfuILzl0UtQMj/nAACBjhY05mI15mJN7kgrMe4znHpAkEQriVCjwLyLkc2JGczXFozsGdhy5C2GGBYFXTFWACJiCBDvgAsyMI2fEAkBaIJ/gAEBgggiDDTVSCKSwEQTiEKlhCtWBozJnoiMbpiZZoiM4cKjAC3myAgqACmUUCKiRqovvSqTQ4Z94HaO6jjmCDCYDSCxMwFc6unwoGb76BgjiQQZZlc57gglgDJZhMduYYkLADJZA0XQ3mPB6kRTiQB/DgoF5jZC5iNmbmg+vkTw7l9R0VJiCCcaRX1E2pX0JTF2iBPOECp+iIrj7nf5jlsLVlasllX4MXLCgYbLZq5AUkPBiBwo0C/rq25Ls+Yk0mXoKD46GsgwpcQHpUA16xVsLmbP5I0BngAjzY2z0YCcfWYrAmZJU+ZDd4AirAgp/UFuPR7MJ2688ghDHYgORwAC1x1+DtZ7wG6NM+4VatXm12HkB4xxVABNz2k93+B68WiMiu5dbYbnoO3LxY2gSogN4EYRFGCbat7tJO4uy2s+TlbgymikNo4IkSb90mCd4uZ/OWbNaY583mp6cYBJbt4Q8O4iGWgvq267r+Z9NW4gK+1rb2b6y46Be2igE3CQP/agRP78hIUfu9art4cKZ9gCIggxFI4woHCfsm7QzPb/1GWQZP5YFY0RcA2n4l1txWCRM/b9/m/mLVWHEPr+cHr2R+tvGOwHEMz+Qd1+8m7++59W6exAE/LvLxDgkkh2wlR2cKRlJIZm/OHYg5KOa6boAp34cqx2QCzu6aYPHZFgiccGU3/Qcxb2wPMO8yR/HpfU5g3nKMsoMjyOd9NuI4Hwk6V+YrD2gO5+81Z/A40eobAOdjGgE82G1Bf2z0NvQ0V3Mfn9tDcAPefAAjLQhIv/ELr/M2PuGqVu4f/4dNd10zCIMOkAoyJ3U0F1Qtx/QWF4g5gFYHcPWCkHNJ92dKx+7FHdti13M/YF4vB/ODCPRBD3aSXKw8X+6O4N1ijgJlL645l/VJt3NpT+FbP9j9IAT5ZAFv/n3QfdL2fXBsu+j2x2h3VH73kUCD+I4ANij3Zb93Z7duDS/fDk90x23gPxjwc893lNj30QB3cLeK5n5uH/5Pcy8uhMfvSq/aL/P39u6Iw34Df81tiRd1mqh4E+0vd6+KpVWA8ayA+XZ0hAB5HRf5myV5PDZXa7ftWIl4GZt4kHj5Q49ioH/3QYACBrD5DUARY14IHLdwno/2ef35iwcMQ5DPFUDuopewo+8IMyjvc05wpV96rq+KB28AHyaBGR+Bh7D6Wc9r02V4asfjIL8BEQ9zKsOKiT9xtE9xU69ntucLp5drkoYIqyeJhMfytw1jvWepLt/JL//jlS+uo0/y/kIX9o2CJMTPGmR3AKpvfLuO9JDP+k1dVtEHED5XUy/w81hmCDRgiaR3I6dy/QyhA3w+AoM/fSJOfazf8FxtfSffr03vdBP5dIioCdwH/eNveAwhBClgdeCne9SPdeJPuG8PKd348N1v0thv017/5bI387RHLewFY+mnfHtFdh/2eIlwfCpX/eL/N1PjCYw9fOQniTcAiBc3Bt7AsULQv4QKFzJsmHAfxH1mPoRAsxBPiBF6GEbs+M+jw5AcO5KEONKkQpAPIy5U+TEiIjIfIjg4AsXBHJE6FTaI0nHQPwZRGCKSwkDOzqRKlzJt6vQp1KhSlbKsSvJpyX0rUaZk/tmV60uwLj0KcmFwBQwXXBBO3TqxotaEGDWeDBvWq9OsV1vivctXbN+OaEJYqEnnZs6pPiMOQiKUqFGkbSdTrmz5MuaGVrWW/DvBTkQshPSSLm369L42f0qywMECEB4PJPZ0JONhBJ7aHkSg6VjGA9yOb3tHnKsHIpOtdjt/fbIkYh01qKdTJ/2nDURCYjZkuPAAggUPR3D+PNJAyk8k59P3TC+UZNGjEP9krm//Pv7Km5fHZTr9ZH9+fRXgWBFx8YILb/wT22yWQTRcR8bVtR9Y/qnkkoBbERhYX4REsUACFUDgQAUVLLBAA1Y42NhjC8UnWX4xyjgjjRqixJyF/qcB+NeGgPn4hwszcBHMgrLt4aBEFBEHkYQ8btbXUntpuOOAPFqp0CBL/IMETRVwQMIUR2TG4lAuRlYjmmmqORlqebV55ZRVyrmSIi0YxBaDR+qXZHBMhhBSVncFGGWBFRbaI6IJYZelA0h8p8QIJNhhHnr9UYrhTmR69GJCf1Cwl16CxhXqmqWaeqqoN0J5KJwZArKCCy/g0IIfCuWJJISDyohjhnH62itIiy7BAAQPJKHQpOtZqixEQC2lKUuc/uMpqIEyRyqq2WqLH7YYsjqngGy4QNANB9lq5GV8Elcjtr0Cy6GPcS0axQONOlSpQ4wxBS1MZ077qU4XQqnc/rYFG0xZu97Cm6icLMhArgtemDHxGP80mFlw7AYK7rvxXokdHeMdYce9Fd7lbFeNtceYY4v1e1SnnyrsMZUH23xzjlK6++2vHrVhJ7kyWKAB0USTkJvJDPHW15IPKhlhRsftw0QT1ZX0xELRkdZqxwzHiZ0cDzzQREj48lSpyc2q5/I+jf3D9j7SUqszz1/hfPdTShxAAAEHKCFIu5l5VHfXrfrcGsQSTxxGB7hhutDSYKGBCBUTFEBAAQOAcAbUGiFXtdVjaZ3wqgsb7lUbbIx4RGINmZ0Qs23v2zJ8/p4+6My64r17SE7Q908gTVBwyJMNOXGAAU8gklAwRRxw/kAbiSg1WvEc181qG1kINBAOXQBOc8CSL1GEG4X8YxsBoPvp+dSguyGBAUWooRAVFPgdSFZYPzT6xr8WDi5InmAEBxCwdQx53UhQthKVsQ0o7+lIUUSCl9zVjHcWvEwgDmCHPxzgd1WYQCCqIIHfAWofovEK4a5nujaY5QVpWYtd5KIbxxlKciTJ1fqkRrV9EEIJSgiEDxexDzUo4QlEdEL+UsI/XlEQgAtDxBgs8J3xGHAhCOSLAl/CwJ8MKG4SnGDpaqi7C5LxH0og0iKKIL2XxHAhVCACQiaABekVwQmECIYGv2hC6o3KdLfzml9YMIMWaAFdbXRXvpJGBSzs/qMMFujTPozzuX2sQQlU2EcTlEAfKigBO0tQwuP2MTonihGQh0IDCYqVhCXghCHJQlvbLqWvpjzwZXLQytxAcihdDqyMZCwCBdzgt0XYSFdPKAIh/iEBKiyPCE8wnwFIVsI9lGAMEzNDQsZAgjGU4Zpm0CY3vWkGMmyzm9ckZzjPGYZ0TowMYRBDGbbwAhl0QQyNs6Y3GQcCMeSzAx/g5zUZ989+DtQMSqBAESYwAA8AlGIfYN8/quYGS+7jCUqgQ0WVsIZ9KKEIgmIIIaSwhDjIoaRyiEMUoEBSk6IUCv8waUlbutKYpnSmJ43CSGGKUiNs4AJdwkAFegJTOUwh/gINQAJMw8QApJpUqUwtqVNhaoUjLHWocXDMLf8lpV2isJe+vCARANAEInEsIW+M4xz/Ucc75lEhT7AfAZ5gBSuQgANF08BC7qrXvfK1r34tGgZgQAMLYOCvhj1sXwEAAL+GgApzLULVKnnJTK6Gk54EZUTaQATkSWCuTnjAiUIr2tGStrSmPS1pQ/SACFzARKh9LWxjK1oGyNUKVPgqbutDBApg4QBNIKaoGpLBDXbQrBIIhBUmQELNNPJLZJhYQuoqAnxOTLrUrS4HpuvNuobguty9bhg4AAI7EdIM9hzBdcf5TnO2c73edCc83+tegyJ0AhX4Ansplga89PCH/kH8RyWNqAQn7KQOR3hAFGBKLwdAQcH1arCDGaxgCDRgCTCVAoUt3FTzHBg82UUCEmx60xDrNAokZqmJbYrSE8dUCixmKRTGmNsZT+WM/yCEBNZokl4eL3l1KEIgmvc8N6wxkWfggBgKkbQZlSAGLiDbPtBgJK6okGZVcMM/ENGES95FDXXoy/vi54Yn3LZ+flvuzVhULCOEIVI6IqUpV1UIRtK4zjPex5GTLGP8/AEtNMABF9qQEClfDM5/rBlEvLzkGQ8CCvU6Qh2K2b//9UzOdLYzpqPShEAkJBBOGJ6qFo1bIBGke1j+B6H1ZGg4j698N76CM6ui6EwvxA5M/ljtFKznx0qD7yFz3jOtg80QJQiAb/fbGq1XgAOIPcGaYrCYqnkdZ4hgYQkHGADmJHAFRJBk1sKWQ7GQwLUqTxt3vxY2upNyALL6L9hAI4jQ7hoGtqxa2kUsYqo+4m1as4EmrBv3rim9s3Onu+ANIUCx+UYA4k0a08pmNj7RALgKkvt4A8A235hQkn1j2g6OcsADDNhEaR+6JQQ3OMoTIgF2d8XgiONeF049coGDxAm3HRxnOG7nsH2nlbruNbk5cvKUEx0rhCuY9nLgghcm039B/zmBdP7RsmrLEG0o1hGQ4HOnB/zpKRl60cOeFBzprGCAMAsXUg1woAccWDrf/ljZt5UGf3t86zvrOt4NBXax8z2RnAm1qEuVBzutIBBqh3rJuS6Wt+8Y8MBWUwI2IEXWSt7uM/f6wC/d980z9++e9+qplO2CWh1e8eVee9S/PKHGP65Uk1qAAoplgdYu4AGRRny9Bf6RvXN+8xSiG0Q+A5E8KzkiY/gSbYyPfJIcfzYdGUMHSCA1iEC/BC+YASOjPGXVhK771FE0cpTzJB85ByKTggBGIzKHA8ehI+t/QPvdP574QyRkDrACe7q0gS/J4cv7uI73BaBp/Np89F7vXQuvmEqfwcAMAJohDJohmV7i3d3iqZ6TsF7rqUmWNMB3VJOb9RrN5Z25aZ4B/h4g2QUejZAaQXBB05UeBZ4e7j2E1PUP6Gmgoz2A/uge5qUQ75WgD9rMwxGEC2zBxDxbob3gBF6e1JWRG4TbBIYg2+kdCf4gFR7Muw1EvBXNvKFeEoZR6j3e3azBAB0BjOigCD7hPvRgFa6hqQThQAzhNUkcIEHhHI7FElqQIDiaA0SAyLXdDvqhGrKhIKLJyxUEC5JcF4KgHVrgV72B2BRLHyriGebe7k3hIF5ijWDBCygd01HiH5ZSS9wh3hjCFGCdo0RiHU4iIn6dJWKiK+LH2QEaGnRAGHCaJ6oiEqaEKN7NGfhbHZwiGuIiD7biKxbjZegB4RkeLdriKjZj/goFxi7aTORNngVIXsgFYxTCICuCoTF241MoWwv0AaotIzZqYy7KICPujoGhSLFUAO3ZXjkmYh0GojfWY1M0WQ4oyDjWYjzmnhKmI96ozIhUwP6RQP+ZIx2iIT3aI0OGxB+0gGAB2iEMGjneYjZyoS4C5N0MAhMQEAR4IAngYkJ64kI2pEl2yrhwzyHuIzOa4UXGoL5pJM543HfcljN6oTyOW0meZEO64Q3AoXn9Az9apDn+IzdmyxsUC9n4I04ypSLuJE/a4xXegAxcgLyZD1HmpOFE47Y0YU2gYj/e5FMSY1TyZCH+JBFODBooWViOJABxZbaIIQFdo1PijjAC/iJZlmVDKkJKqmTTYZ5bnmNMHmWpNNp3RABdiqVdvmQzViJh6uUrtkYLQKRaNF1gBqZR4k0hTIHYgFhiXuYnzmNeQqY3cgEO5AAbzOIW1iXFieQiPmaaNOEDIEFjfCZghqZOjiZpFqP2YF8wqCa9geZdgmJGwiaNJIAF/JQ1gmVWsqb1QOVuaouQQQ9wqVUBPE8dsNx9kICscMEDAqdWOqcEFidDBIOZ/ZBCVAEFGMABLEGR2UfIKIDYsNY7SpNitiZjZp5xRmepVE4IgdBDFAETUI+McAAMGIQtgqd43idMDhFArkERGFGEPkQVKEH2xYjKfEc18h9ohCeDNmYa/uomf25LHRVCMBjA7+xDEbBnEQRnfTykDNiAC4gjRa7mh95oZrpRJwWDD3GGehrABKhIfhjmAxTBOn1gUTYljlrafo5omjjT8qBoXPxBIhACBTzTffzB9hgiVirojWKmkg4mQ1jU/PRoQhCCIGhZEaxBfiTlbHro5Q3nCDapk95HIiCPAeTpBBCBE5iolHYFE6CnfUzlCzwBEzABCViMTSbEXM3VQjSqkDJqozIEpD7qpCpEpWLqpWqqo2IqFbxRAWRO30jAjprpSmCBElQBfjgBTUQAgXFqpP5Dpkpqp9JqrMrqpuJqrepqrM4qr1JqFThWnfLOBAjCB+FPpy1C/jBIgB3dh1kEjVUWTZJ5KJgSJzrqSoSqQYTGBSGMxjEJmn2swXg4gATQAZyGKW6anIgOq6lMZxssAhU0AY5xVktiBiFs6RtqQRyy5YJW62J+YXm+1ZmtwRNgwVsZAAUsambQJAQUi7kuaJzmp7dAJ7uqyZtkRjBMJaBhZbpCLLrO4JthRiGIgRTN5oE97JJaq78K3bpWLN9J5huwQFpkAVau7LmqrIPS6WWUgQiIjRMMwsne7L8KLcvqrMsKm7LlAOnRYnB2bMoOLXmeCgVInuxtwAcErcfirJwW7dFWoWnmgBsQiZfabNZC7bWaSsgsgAMM5AVQwIk8gH2S7dPm/qbRdu2MPSQMyAr2rdHYOq3cup1M0gjQNkCXXED0lVSHli1+JqkU1q3dfpWWkou51GjTbi3RbmXgzsggOMGIQMCRhoHTRizjzunjbt5ZuoC+FqFQVq7EoqtrQmPmyggbDFAE5JriNqjlbmPp9l1fYmG0SmvN/q3fvmap/OJ35ODc4m7rNu7uvuyyCWHqqiW/Ju/tvmXs4gdNzibKUq9gDi/FNu+MFULvOmD1du/rVqDjNsXIVoDYiM32yq3oUmuIpi/43o34zgplZsEDlm/8NufZogkZIKbJPsD7hq7rLi/p1q/B8YFZvMYsTuvljueXEi+NTG3JVqMUFXDumi8C/nOtAqcbCZhFCwDCOEIw/x4wQlJwjKwfiojN7LktBMQt/KKw/H7vB+MN3s7ADYwwRZow9/YviMIu/epEsrjwBtCiHCTuCWttB6vrEN+wAuIrFyxPCQfvDDNxCgvxjLxfkb7TCIAuFsvvBk9sy0Ix3pxu6j6bD1+x2Qon+sqI8eIgRnIvG3uwGdNY71Ll72rAGhtwGPuvmN7HyIrAAGnvHAvvGDPpHdPYGzwv9O5rGw/vBgPuEy8EGYwATRQL+h2yJDex09nwImuLaeKAIwMaFQOxG48uxcElVFhw51qABWyy8qpyBOtnKGtMV2UgQ7QG9vWBzLpAFlAxB9Ny+VJy/udRmS7/A9Cq7YhEgAXAcNyi8m0mMvPe8q5Uiy77MgPeAGpKDxogWfBK8/kSc88w3lUkoGa0wYGRiOGGQRKnoicPcw2XsTVLxe9lYB9IMRV/sw+Lc34i8hv/BX/83U6Iq9gYqRh8sR9ScyRP8vzWc4zcMxuFBBonhBiAswB6H/dlNEd3hDkP9ESHBCHcBATEWEdzNACedEeDMkTnyEDDy2fkcQxcwEKMgSGoNHVsNE4LIPhNjfixXkiHRfntwxQUwSXtdACmNFJ7HwH+X0vXBwJmYEX/gxmgwU0vtWnoNFZbjZcd8/gBmyhJx1ZbjVKPNXXM2VPnx8U2RD6XWjB7FqO1JHNaz7VI+PILtIAbCDNd73XvBQQAIfkEAQcA/wAshACnAD8AJwCnCgoVCgoWCgoWCgoXCgoXCgoXCgoXCwsYCwsYDAwZDAwZDQ0aDg4aDg4bDw8cEBAcEREdEhIeExMfExMfFBQgFBQgFBQgFRUhFRUhFhYhFhYiFhYiFhYiFxciFxciFxcjFxcjFxcjFxcjGBgjGBgjGBgjGRkkGRkkGholGxsmHBwnHR0nHh4oHx8pICArISIsIyMtJCUvJiYwKCgyKio0LCw2Li44MDA6MjM9NTZAODlDOztFPT5IP0BKQUJMQUJMQUJMQUJMQkJMQkNNQkNMQkNMQkNMQkNMQkNMQkNMQkNMQkNMQkNMQ0RNQ0RNRERNREVNRUZNRUZORkdOR0hPSElPSUpQSktRTExSTU5TT09UUVFVU1NXVVVYV1daWVpcXFxeX19gYmJiY2NjZGRkZWVlZmZmZ2dnaGhoaWlpampqa2trbGxsbW1tbm5ub29vcHBwcXFxcnJyc3NzdHR0dXV1dnZ2d3d3eHh4eXl5enp6e3t7fHx8fX19fn5+f39/gICAgYGBgoKCg4ODhISEhYWFgYeHfIiIeYmKdYuLc4yMcI2Nbo2ObY6PbI+PbJCQbJCRbZGRb5KScZKTdJOTd5SUfJWVgJaWhpeXjJiYk5qam5ubnJycnZ2dnp6en5+foKCgoaGhoqKin6SonKavmai0lqq5k6u+kazDjq7HjK/Kiq/NiLDQh7HThbLVhLLXg7PZg7Pag7TbgrTcg7TcgrXehLXdhbbch7bcibfbi7fbjbjakLjYlLnXmLrWnLvUo73Sqr/QssHOuMPMvsXLw8bKx8fJx8jJyMjKyMnKycnLycrLysvMy8vNzMzNzc7Oz8/Q0dHR0tLS09PT1NTU1dXV1tbW19fX2NjY2dnZ3d3d39/f4eHh4+Pj5OTk5eXl5ubm6Ojo6Ojo6enp6+vr7Ozs7e3t7u7u7u7u8PDw8fHx8/Pz9PT19vb2+Pj4+vr6/Pz8/f39/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+Ms0yCP4A/wkcSLCgwYMIExp00Eehw4cQI/4jMUSZxIsYH5L4VzGjx48CSfjjaBGkyYgiBXY8yTJhSpUlW8oc+BLmzJsg/I0cuPImy5w7Bb7r6RMk0ILpiBbNeLSgOKVLJTYtyG1IVI9H2akcwtXqVYxA2SEQ9s8J2a9Y/YlVVuMft7YHI2nKdgPtQRBr/2EppvdsQXSA0dk16AMBMoHKZvyzZuNgYMCDFWKx9g+H48CRFX6bIQbaZciZPT4eHTri6NOCSydEfVo1wlqwY8uO7fpguNu4c+OubfCd79/Af/MWiI84vuPIkx/nrbN5UITPSzvX6TB6aOr/sCe0nrm5QO4EwSZH9l5d/Hjz39EP1g5dvV3y7YcPhF+QvXz62fHfn+5c/kH+7tkVEAAh+QQBCAD/ACy3AKUADgAVAKcLCxQMDBUNDRYODhcPDxkPDxoQEBoQEBsRERwRERwSEh0TEx4UFB8UFCAVFSEWFiEWFiIWFiIXFyMXFyMXFyMXFyMXFyMXFyMYGCMYGCMYGCMYGCMYGCMYGCMYGCQZGSQaGiUbGyYcHCcdHSgeHikfICogICshISshIiwiIywjIy0kJC0kJS4mJy8oKDEpKjIrLDQsLTUtLjYvLzcwMTgyMzs0NT02Nz84OUE6O0M7PEU9Pkc+P0g/QElAQUpBQktBQkxBQkxCQkxCQ0xCQ0xCQ0xCQ0xCQ0xCQ0xDQ0xDRExERExERUxFRk1GR01HSE1ISU5JSk9LS1BMTFBOTlFPT1JRUVRTU1VVVVZXV1haWlpbW1tcXFxdXV1eXl5fX19gYGBhYWFiYmJjY2NkZGRlZWVmZmZnZ2doaGhpaWlqampra2ttbW1vb29wcHFycnNzc3R0dXZ1dnd2d3h3eHl4eHp5eXt5ent6enx6e317e317fH58fH58fX59fX99fn99foB+f4B/f4F/gIGAgIKBgYKBgoOCg4SDhIWFhYaGhoeIiYmMjIyPj4+SkpOWlpaXl5eYmJiZmZmampqbm5ubm5ucnJycnJycnJydnZ2dnZ2dnZ2dnZ2dnZ2enp6enp6enp6enp6enp6fn5+fn5+fn5+goKCgoKChoaGioqKjo6OkpKSnp6epqqqtra2xsbK1tre5ubu8vL2+vsDAwMLBwsTDw8XExMfExcjFxsjGx8nGx8rHyMrHyMvHyMvHyMvHyMvHyMvHyMvHyMvHyMvHyMvHyMvHyMvIyMvIycvIycvIycvIyczIyczIyczIyczIyczIyczIyczIyczJys3Jys3Ky83Ly87LzM/Nzc/OztDP0NLR0tPT1NXV1dfX19jZ2drb29zd3t7g4OHj4+Pl5eXm5ufn5+jo6Ojp6enr6+vs7Ozv7+/z8/T29vb4+Pj5+fn6+vv8/Pz8/Pz9/f39/f39/f3+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v4yzTIIoQD//fPgTKDBgwY9GCmI0CAoUAX8vfDTUKA/fx4ELqyob6A/jQwP6tPn4SJIhPNI/jP5b6PBeCpXfmwZMl69jBY/wnMJ7+ZBk+w29sSZ8yO6hUMRXvxIzkhSge40tjTi1Oc/dwBg/VMCa+ZTAM5i+CMnVuDTglNq/Zui9V9PIxb/OXPx75sMs/X0fWT57V8NvB1l/ivnQoy2ioJnIl6q+F9AACH5BAEIAP8ALLkAowAPABUApwoKEwwMFQ0NFw8PGRAQGhERHBISHRMTHhMTHxQUIBUVIBUVIRYWIhYWIhcXIxcXIxcXIxcXIxcXIxcXIxcXIxcXIxcXIxcXIxgYIxgYIxgYIxgYIxgYIxgYIxgYIxgYIxgYIxkZJBoaJRsbJhwcJx0dKB4eKR8fKh8gKiAhKyEiKyMkLSUmLycoMSoqNCwtNi4uNzAxOTIzPDQ1PTU2Pzc4QTg5Qjo6RDs8RT0+SD9ASkBBS0FCTEFCTEFCTEFCTEFCTEFCTEJCTEJDTEJDTEJDTEJDTEJDTEJDTEJDTEJDTEJDTEJDTENDTUNETURETUVFTUZGTkdHTklJUEpLUUxMUk5OU1FRVFNTVVVVV1dXWFlZWlxcXF1dXV5eXl9fX2BgYGFhYWJiYmNjY2RkZGVlZWZmZmdnZ2hoaGlpaWpqamtra2xsbG1tbW5ubm9vb3FxcXJyc3R0dHV1dnZ2d3d3eHh4eXl5enl6e3p7fHt7fHt8fXx8fnx9fn19f31+f35+gH9/gH+AgYCBgoGBgoKCg4ODhISFhYaGh4eHiImJiYuLi4yMjI2NjY6OjpCQkJOTk5aWlpiYmJmZmZqampubm5ycnJycnJ2dnZ2dnZ2dnZ2dnZ2dnZ2dnZ6enp6enp6enp6enp6enp+fn5+fn5+fn6CgoKGhoaKioqOjo6Wlpaenp62trrGxs7OztbW2uLi5u7y8vr+/wcHCxMPExsXFyMbGycbHysfIy8fIy8fIy8fIy8fIy8fIy8fIy8fIy8fIy8fIy8fIy8fIy8fIy8fIy8fIy8fIy8jIy8jJy8jJy8jJy8jJzMjJzMjJzMjJzMjJzMjJzMjJzMjJzMjJzMnKzMnKzcrLzcrLzszMz83N0M7P0c/Q0tHS09PU1dbW2NnZ29zc3d7f3+Hh4uPj5Obm5+jo6erq6+zs7e/v8fLy8/T09fb29/j5+vz8/P39/f39/f7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/jLNMgihAP8J5PBMoMGDBzkgKYjQoD9//zj8W9hQ4EN/EicyRAiq44CLLvw0hBiRpEaEJDk8NEjR4cB/KwW2hPkSJsl2LVM6JKmOok6LMc0tvFcTKMlxSIhGNLiOJpKnSWuuC/DqnxNXBpWqnPrshb9xL7IO5Oqvyqx/VbD+I+oPSYCC/p61+PcNhsB7F23CrPLtn4y7MVf6K9dCzLaKek0ivqj4X0AAIfkEAQcA/wAsvACgABAAFgCnCQkQCwsTDAwVDw8XEBAZEhIcExMeFBQfFRUgFhYhFhYiFxcjFxcjFxcjFxcjFxcjFxcjFxcjFxcjFxcjFxcjFxcjFxcjFxcjGBgjGBgjGBgjGBgjGBgjGBgjGBgjGBgjGBgjGBgjGBgjGBgjGBgkGBgkGRkkGRkkGhokHBwlHR0nHx8oIiIrJSUuKCgxKyw0Li83MjI6NTU9ODhAOjtDPT5GP0BIQEFKQUJLQUJLQUJMQUJMQUJMQUJMQUJMQUJMQUJMQUJMQkJMQkNMQkNMQkNMQkNMQkNMQkNMQkNMQkNMQkNMQkNMQ0RNQ0RNREVNRUZNRkdOSElPSUpQS0xSTU5SUFBTUlJUVFRWVlZXWFhZW1tbXFxcXV1dXl5eX19fYGBgYWFhYmJiY2NjZGRkZWVlZmZmZ2dnaGhoaWlpampqa2trbGxsbW1tbm5ub29vcHBwcXFxcnJyc3NzdHR0dXV1dnZ2d3d4eHl5eXp6enp7e3t8fHx9fX1+fX5+fn5/f3+AgICBgYGCg4ODhISEhYWFhoaGh4eHiIiIiYmJioqKi4uLjIyMjY2Njo6Oj4+PkJCQkZGRkpKSk5OTlJSUlpaWl5eXmZmZm5ubnJycnJycnZ2dnZ2dnZ2dnp6enp6enp6en5+fn5+foKCgoaGho6Ojpqamp6enqKioqampqqqqq6urrq6usbGys7O1tbW3uLm6u7u9vb6/wMDCwsLFw8THxcbIxsfJxsfKx8jLx8jLx8jLx8jLx8jLx8jLx8jLx8jLx8jLx8jLx8jLx8jLx8jLx8jLx8jLyMjLyMnLyMnLyMnLyMnMyMnMyMnMyMnMyMnMyMnMyMnMyMnMyMnMycrMycrNysvNy8vOzMzPzc7Qzs/R0NHS0tLU1NXW19fY2dna29zd3t7f4ODh4+Pj5eXm5+fn5+fo6Ojp6urq6+zs7e3u7+/w8fHz8/T19vb4+fn6/Pz8/f3+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+Ms0yCKIA/wn8R+LZwIMIBZJAYjBhQhL/GDr858+fQoESE1a0CBFjw4MWK3b0iNAixZEkB35a+WnAxo0v+gw0SbDiQXgZaUK0ObCdRJ0CeQpExxAoRaH/yCEx+s9dRSRQoRp1F+CVPyeuZg6ESPXZC3/kXmhV2NUfFVpms1IMiiTAs4rPXPz7BiPoUZs2qXz7JyPoxqNHy7kQs82vSbw0JwJOPPFlwoAAIfkEAQgA/wAswACeABAAFQCnCAgOCgoSDAwUDw8XEBAZEhIcFBQeFRUgFhYhFxciFxcjFxcjFxcjFxcjFxcjFxcjFxcjFxcjFxcjFxcjFxcjFxcjFxcjFxcjGBgjGBgjGBgjGBgjGBgjGBgjGBgjGBgjGBgjGBgjGBgjGBgjGBgkGBgkGRkkGRkkGhokGxskHBwlHh4mISEqJSUtKCgxLCw0Ly83MzM7Njc+OjpBPT5FPj9HP0BIQEFKQUJLQUJLQUJMQUJMQUJMQUJMQUJMQUJMQUJMQUJMQkJMQkNMQkNMQkNMQkNMQkNMQkNMQkNMQkNMQkNMQkNMQ0RNQ0RNREVNRUZNRkdOSElPSUpQS0xSTU5SUFBTUlJUVFRWVlZXWFhZW1tbXFxcXV1dXl5eX19fYGBgYWFhYmJiY2NjZGRkZWVlZmZmZ2dnaGhoaWlpampqa2trbGxsbW1tbm5ub29vcHBwcXFxcnJyc3NzdHR0dXV1dnZ2d3d3eHh4eXl5enp7e3t8fHx9fX19fn5+fn9/gICAgYGBgoKCg4ODhISEhYWFhoaGh4eHiIiIiYmJioqKi4uLjIyMjY2Njo6Oj4+PkJCQkZGRkpKSk5OTlJSUlZWVlpaWl5eXmJiYmpqam5ubnJycnZ2dnZ2dnp6enp6en5+foKCgoaGhoqKipKSkpaWlpqamp6enqKioqampqqqqq6urrq6usbGys7O1tbW3uLm6u7u9vb6/wMDCwsLFw8THxcbIxsfJxsfKx8jLx8jLx8jLx8jLx8jLx8jLx8jLx8jLx8jLx8jLx8jLx8jLx8jLx8jLx8jLyMjLyMnLyMnLyMnLyMnMyMnMyMnMyMnMyMnMyMnMyMnMyMnMyMnMycrMycrNysvNy8vOzMzPzc7Qzs/R0NHS0tLU1NXW19fY2dna29zd3t7f4ODh4+Pj5eXm5+fn6Ojp6urr7e3u8PDx8/P09fX39/f4+vr7/Pz9/f39/f3+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+Ms0yCKEA/wn8R+LZwIMIBZJAYjChQH/+FP5j6PAfxIgkBFJMGBFiRo0ND0a0+BEkwpEEUU4MaXEgCYgHN7aUCFOgu42fcn4a8PCiP3Uv+swk2BPlOYYoS14cSA5J0oHsICKZOvXpP3YCXvlz4mrgU6zPXvgj98LrQxJg/VGh9Y9K15ZSBTyD+MzFv28winbcS+XbvxhFe1r0V86FmG0VYapMvBRhQAAh+QQBCAD/ACzEAJ0ADQAUAKcKChANDRMPDxcRERkSEhwUFB4VFSAWFiEXFyIXFyMXFyMXFyMXFyMXFyMXFyMXFyMXFyMXFyMXFyMXFyMXFyMXFyMXFyMXFyMYGCQYGCMYGCMYGCMYGCMYGCMYGCMYGCMYGCMYGCMYGCMYGCMYGCQYGCQZGSQZGSQaGiQbGyUcHCUdHSYhISkkJSwoKDArKzMvLzYyMzo2Nj04OUA7PEM9PkU+P0dAQElAQUpBQUpBQktBQkxBQkxBQkxBQkxBQkxBQkxBQkxCQkxCQ0xCQ0xCQ0xCQ0xCQ0xCQ0xCQ0xCQ0xCQ0xDRExDRE1ERU1FRk1GR05HSE5ISU9KS1BMTFFOT1JQUFNSUlRUVFZWVldYWFlbW1tcXFxdXV1eXl5fX19gYGBhYWFiYmJjY2NkZGRlZWVmZmZnZ2doaGhpaWlqampra2tsbGxtbW1ubm5vb29wcHBxcXFycnJzc3N0dHR1dXV2dnZ3d3d4eHh5eXl6enp7e3t8fHx9fX1+fn5/f3+AgICBgYGCgoKDg4OEhISFhYWGhoaHh4eIiIiJiYmKioqLi4uMjIyNjY2Ojo6Pj4+QkJCRkZGSkpKTk5OUlJSVlZWWlpaXl5eYmJiZmZmampqbm5ucnJydnZ2enp6fn5+goKChoaGioqKjo6OkpKSlpaWmpqanp6eoqKipqamqqqqrq6uurq6xsbGzs7S1tba3uLi6ury8vb6+v8HAwcPCw8XDxMfFxsjGxsnGx8rHyMrHyMvHyMvHyMvHyMvHyMvHyMvHyMvHyMvHyMvHyMvHyMvHyMvHyMvIyMvIycvIycvIycvIyczIyczIyczIyczIyczIyczIyczIyczJyczJys3Jys3Ky87LzM7Mzc/NztDPz9HR0dPT09XV1dfX19jZ2drb29ze3t7g4OHj4+Pm5ubo6Ojq6uvs7O3v7/Dy8vL19fX39/j5+vr7+/z9/f3+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v4yzTIIgQD/kXj2r6DBg/5IHCF4ECEJfwsbGkzoDyLDhgn/VYyIkUTBjRc/evxo0SHCkiIxtuOY8aS6iJ4ESKxo7kWflhj9kTuCc13BI0D/8Rz5L8Arf01cVdRI9NkLnS8mEvVHpRZVVx+PTHzmwt83GCT9kaSiMYbEj+VciNF2VmNFsQUDAgAh+QQBCQD/ACyBAJEApwBXAKcAAAABAQECAgIDAwMEBAQFBQUGBgYHBwcICAgJCQkKCgoLCwsMDAwNDQ0ODg4PDw8QEBARERESEhITExMUFBQVFRUWFhYXFxcYGBgZGRkaGhobGxscHBwdHR0eHh4gICAhISEjIyMkJCQlJSUnJycnJycoKCgqKiosLCwtLS0uLi4wMDAxMTEyMjIzMzM0NDQ2NjY3Nzc4ODg6Ojo8PDw8PDw9PT09PT0+Pj4+Pj4+Pj4/Pz8/Pz8/Pz8/Pz8/Pz9AQEBAQEBAQEBAQEBAQEBERERJSElPTVFWUVlbVGBgWGZkWmtqX2luZmtxamt0cGt2dWt5emt8fmR9gF9+glx/hFx/hV6BhWaChHGEg35+g4R9g4qDg4+PhJSShpeSiZWSjJOQj5GRj5CRj5CSj5CVkZCZlJGhmI6qnYe2nnu/oXPKrG/RtmzRuWnNwGDMxFvLx1fLyFbMylfMy1zMzGLMzmnKznDIzXrGy4q9x6yxw8WpwdClwNWgv9qrwtS3xNDAx8zHyMrJysrKysrMzMzNzc3Ozs7Pz87Q0M7R0c/S0tDU1NHV1dPW1tbY2NjY2tfZ2tfa29jb29vc3Nzc3d3b3t/Z3uHW4OPS4+jM5u3J6fDI6vLJ6/HL6/DR6u3X5+ne5OTg4uLh4uLh4uLi4uLj4+Pk5OTk5OTm5ubo6Ojo6Ojp6enp6enq6urr6+vs7Ozs7Ozs7Ozt7e3t7e3u7u7v7+/w8PDx8fHx8fHy8vLy8vLy8vLz8/Pz8/P09PT09PT09PT09PT09PT09PT09PT29vb29vb39/f39/f39/f39/f39/f39/f4+Pf4+Pf5+fj6+vn6+vr6+vr6+vr6+vr6+vr6+vr6+vr6+vr6+vr6+vr6+vr7+/v7+/v8/Pz9/f39/f39/f39/f39/f39/f39/f39/f39/f39/f39/f39/f39/f39/f38/Pz8/Pz8/Pv8/Pf8/O39/d37+Mj797L89KD+/pP+/ov+/of+/ob+/ob8/IX7+4P7+4P7+4MyzTII/gD/CRxIsKDBgwgTKkQ4Th69evbs1aMnD97CixgzatzIsaPHj2fSyBlJsqSaMx9TqlzJsiXHePbwyZxJU+Y9eS5z6tzJU6G8ezWD0pzXs6jRox3jARXKFB9OpFCjRj0Dp6TVqyVRSt3KNee8pmDx0etKtmzHcUvDMo1ntq1bhPLUgiX6tu5benKb1rPL12y9vEzt9eU7rrDhw2z6HC6sZpPheF46LZ682J6+y5gza958mbLnz6BDi55siNbhM4ZXnvaMrrVr1/T6vEYXe7bt2ZY5Y65SR/fl28CDCx9O3LaTf6bHCaxUGHXqjYvP2F7zr8WmxGxatNjirjG9JZ3q/m1hFdmd+fPo09fbx769+31VeL9vby+9/fv48+vfjz/Jv1n+FeKac4ddNE5jhQ2Y3jxedOMgdn10o0YmkXVTTxgVNubghhx22A09871XBT7yzWePhyimqOKKLLbooH//FIKedK0tlhBjm7zmjhkcZpNNdi30AWE2avzhhY/ZrNGHj4kh6eSTSM4TonsjkljHfPNAqeWWXHbp5ZdIOjFINhya4c5rBRpkWGOtmdeNGT4+I+czzTRDTxgQNqMGJpE1U08ffTZW56CEFlonP4gmqig/VVq5qDyGRirppJRWaimhcz7jI4/muZYmQWtu4mY32ZhBZzPLLDMPC6xeJ2Qf/sU01ph4xYh3ihecFKPrrrz2Wgw9iy7aqKOI1uPrscgmq+yyzPaa6jJ1PgOng52i89xAhrXpDqnZSIvqMrsaI64w5JZLbmzmCoNuuuyyG6yiwxJLTLv01mvvvfjSK64xu6bajKk+dlPttf8kiI6b3dJphq7GkNtLL7pELPHEujQ2cRebUKzxxvO8i2i8Vs6z8cgkl2zyySY/TC6/xZjRjJxkDqycQNkeTCqd4JrRMMS44GKLLbUELfTQRBdt9NG1APsuyPs8oQfSUEct9dRS/9yzLr0IY8zC0GoqcI2F0TxOmzejWszWvfgcNC2zzALL23DHLffcdNf9dsfBgoxT/g562O3334AH/nfbtARtCy696FxM1zGDLTbZ2ZhtTOJmmFEGGWSMofnmnHfu+eege27GGnCUXjoVNNHDlkAkPBH667DHLrvsmJdRuRm6CLN4M41bOzPkcoIrjC5Bz9LKKqigcsoppphSyvPQRy/99NRXH/0p9NjzcUTzrE5QDdaHL/745Fff/PLJq7JKK7AUjovuy3h9Ztj/cItzw7rgQgssg/UPlSu0eF8xXvY1a/2jDwhMoAIT6L8GFgUVraiFLowRv8YVpm2wcEUrWqEK5ZVCFJWQhANHqBNSoMIVtegFtCw4DgxqcBUddF4oKOEIEtqQJZQohSpmgQsKPuNr/hd02ws9SIpKTKKGN0yiRxxRiVO4whbCiB8QWyjE43kQhJJohBK3uBFGUMIUEVShpuZHxQxa8RQfrEQkGMHFNl5EEZEgxSpoIcZskBGD8+jCJ1BhClLMMBCLcKMgEYIIR4QCFbPQxQDJ5Ds86pGPfkxMIAdJyYEYwpCogIUiedcN33Eij5DowiOooAIVhIEKKOhDJVdpiEZUIpObtOAnuxDKR1zCFHnYAhvCoIhVVrIQrswkLhYJxFmG8hNrUEEKdMlLX1KyEIx4JSyGycn5cUI8ocRDH0yBB2b20pmChKY0qWnBfzhhC7Us5Ra6gIdUgjOc0RQmMedXRRhC0oiO/vjmO7koTnlW01r1jGERj6jPfSqxn9OcJ0DNaM8+4rOgBr0hQskJxIDek6AR3eJEFdpChgr0oRk9aDwT+s+OvvCjGA2pREdKUXp69KL5VOlKx8nRBdoUgTK14UZLqjznpZESknAEIxJBiJyScKcWxNnZhlcL46GCFJMw6giRCkSbdQtcaaOFK1ARCqk6kKpktGozisFUWKBCFF5tIFh9J1ayEs+saE1r/9aaoG1Fzq21gKtc58pSjo7NrmMt61n3Ohi6/pVUgX3rYAnLF8O2VbBxZWxdHAtYvOpVspPta0kPe1fIYjazNN3sYxUb2c+ahbKItexiTXtazY6BBtga/m1eV8tasuz0DK44Uy04m9jZlra2XEFtZ0kL3LIgNQyddAdvVfvb4kYFqVA4QiEKJtvLOncrwAwtmZ7wD9S01RiKJcV1udJKacYSCkgIRMHGllrw2mIWqhDveKVyyUNqcpFhUG4xEtTeXrxXFaWYr1QOgclEEtN3db1qMbK6ClMIOCqFFMUOxXgGWljLFgl+hvD014pTPBgqiXCEhOkYvzCA6rAaxutWP4wUOMqRxD8UgnKzta37+desLD6KIiRRighG8RkfOLFYNwzfHBtlEZMwxRONwckmzLiuZTubLmixCiMXxYtO7OFmqWszG9vCFVbuSYEV+cMzGXC9Vk2x/jC+HN8sKuIQhBjEIARB5zrb+c54zrOe98znPvv5z4AOdJ3lPAhCFMIQiFiEIyQxYl1IkYyPG/LkaNEKrh6REYtQhCISkQhEePrToA61qEdN6lKb+tSoTrWqVc1pTStiEYtgRCMcMQlRnBCKvDMz/Qxm1/vpzxWnGKgkIhEJRxj72MhOtrKXzexmO/vZ0I62tKd9bGJLQhKToEQlQlEKCEqwGGV23HrHlubA/hp5ziMFKUTB7na7+93wjre8503vetv73vjOd7vV/TxTnAIVqmAfLSaYa7DNDM0H63VibbE/DR5vFRCPuMQnTvGKW/ziGM+4xjfO8Y5LfIOuCHn7xGqBOCb3jn5iIzfCIrcM/P0MaGujhcxnTvOa2/zmOM+5znfO8577/OdCe/nVekHBfyK4IDUblZwkN658Of3pUI+61Kfu9H3pyl9e6+TRkV6zhDsoYae6lNjHTvaym/3sZc9UwMyM4IOf2GDa6hGY5k73utv97ni/O4eqZXC3c73rCUePiwZP+MIb/vCIJ7x90PSpGy0mOPyJvOQnT/nKW97ywZkMdERTnM57/vOgD73ohzMa1Yzm9KhPvepXz/rWax4jAQEAIfkEAQ4A/wAsUgCRAMkASgCnAAAAAQEBAgICAwMDBAQEBQUFBwcHCAgKCgoMDAwPDQ0RDg4SEBAUEREWEhIXEhIYExMZFBQaFBQbFRUcFhYdFhYeFhYfFxcfFxcfFxcgGBghGRkiGxsjHBwkHh4lICAmIiInIyMoJiYqKCgrKystLS0yLy83MDA6MTE+MjJJMjJOMjJUMjJOOTlQQUFPSEhUUVFaW1tgZ2dnb29vcnJydHR0dXV1dXV1dXV1dXV1dXV1dXV1dXV1dXV1dXV1dXV1dnZ1dnZ1dnZ1dnZ1dnZ1d3Z0enZxg3hsj3ZpoIJfqoZbt41awZJayJVbzZhc0Jpe06Fl1aZr16px06t7yKGHvpmTtZSdsJKiqpCoo4+zmom6iIjFb4fTWIngSIrpNYvxJo76Ho/+Ho/+Ho/+Ho/+Ho/+HpD+Ho/+Ho/+Ho/+Ho/+Ho/+Ho/+Ho/+HpH+Hpn+Hpz+HqL+HqX+Hqn+HqX+HqL+Hpz+Hpn+HpX+HpD+HpD+HpD+HpD+HpD+HpD+HpD+HpD+HpD+HpD+HpD+HpD+Ho/+Ho/+Ho/+H5D8IJH5IZH2I5L0JJPxJZPvJpTrKJXoKZblKpbiK5fgLJffLZjcLpjbMJnZN5vaPZ3aRp/bTKHcU6LdVqPeWaTfWqTfWqTfWqTfWqXgWqXgW6XgW6XhW6bhXKbiXKfjXanlXqrnX6zpYK7sYbDvYrHxYrLyY7PzY7T1Y7T1ZLT1ZLT1ZLT1ZLT1ZLX1ZLX1ZbX1ZbX0Zrb0aLbza7fybrnxc77ye8b0f8r2gc/4hdP6idX7jtb7ktf8ltn9m9r9otz9qN/9reH9seX9tOb9tuX+uOT+uuP+vOP9wOL9xOL9yOH9zuL41d/73OT45ej16er07Ozz7u/y8fHy8/Pz9PT09fX19vb29/f4+fn5+vr6+vr6+/v7/Pz8/Pz8/Pz8/f39/f39/f39/f7+/P7++v7++P7+9/7++/7+/f7+/v7+/v7+/v3+/v7+/v7+/v7+/v79/vzw/vng/vjX/vjS/PXK/vjPMs0yCP4A/wkcSLCgwYMIEypcyLChw4L3Ikqc+LCixYsYM2rcyPGilY8gQ4bsSLKkyZMoTU5cyfJeypcwY8rs2LKmxJk4c+rEabOny51Agz68RbSo0aNIkypdyrSp06dQo0o9KvTirao+fVZ9eXXrUKFZs3o92XUsw7I7w2o1SxItW4Ruc6rt+bZj3LoE786caxPvRr1+AcfkW9OvRsF1ZwlFx7ixY8Yapj1+bDij4soFYwk9x7mzZ84aXEz77BnzRc2mB6IGSq6169etNdxzIQ2269QVV6d+JXSc79/AfcueLS24b9wPeSN3JRSc8+fQnWeQSDs6OOQOmSNvVfWb9+/gv/5Npx4NPHaH3JGzqtqtvfv33cZTr+L+fMP16rdu28+/v/z529h3H3areKXNgQgiaAFL4bggYEMFIhfhVtlUaGGFC7L0IITYqZIKKiCecoopppBCyigopqjiiiy26KKLDGgoUApevGjjjTjm6KKJJIoIIiqpqPIPYUSqhc455IwzkDfcBPhPNthgc801/1BJpU5TZplhRBtWVOSXPTGGZDjOedPNNtrUsAMRbLbp5ptwxinnnHImYNAHeOJJ55589ulnnzWAKShLRyZJ5jdMbpMNEYMW2eVLO/yUGqMs9cNFRPxocU8/vUQERTM+ZRrRFKBKYYIJx1j66EmMIkfpRP79mHBJRJzmY8U7+SyxAqg28XPqJaauwIwW72T6DqmrltQqbq9KRI2lozbD6T38UPMppsTe80QvuR5jxRS9cGoFNdi+o2qyHS07aUvQ3jPFO1IcI9G11GabaxKd2vSEvMaiy5G6pjUrEbSi0nvPtU+cKuumXLxTU7cR2UqNvxsBjJnAtF7aj7zxzsursffYCm5NBvdLcUYWV4Yxw+6COq2nHxPbLcQrxXrqCs9ycbJGKRu2Mku2OtxotDujLGnAar3c6LlFX9SzXz8PTVfTGD2NV9RSF0a100df7MfXYIct9thkl2322WinrfbabLcNttV1EXG2MNWMPQc2Yd/t9v7efPft995wvyW329JsIXYyyfyt+OKMA961ymNLE1EydAsTET1b6C1N3e9Io3fjoIcuuh+BszU42HNsA3bleCcjDd1fv2NN3amPbvvtfJdu1ulgJxPR69XA7rrrX89BD9jWGI778syXrftYvOeNTeV1uw67H9Zs7kftzXfv/fNeRT+H0JQHX73neHfuR+efe+8+7lhn7VOh44DzzZnaZHONNdGrXfjhiXufAEcXP/nZhH72w5/++Le39m0PbwOMIOgKaMCWIPB+aFpg/yTIQQlSsIIrQeA/FLi/DXbwhO4jAnZUuLUVuhAjEhtIDFuYEhYyKyMbKwinaFjDFxIkYf4485Ws/mEzbo2rH5aA1yVmyENl+VAgljJXL/b1j319SiD9koIVGvaPKzbRia7SYS8EEkNO2ewS58pVMwQSry+C8YYEiaKlqEjFf9gqi1ngohfd+K8nstEEuxLiJap4KiNSQwqDRCQT+cgzPz4kh3EcIyP7GEYYjkuGl5xkxRypyfBxspNVseGkFlKFie3wjA5BJSgTIsqAKQSIRbziHhWCrFUqpJUX02ESERkvLWRqCscYiBe7xQ8krLGNhESVLRGCS5UZRItcREg/BjkQfmAhCcH8RxvVaM2JLbMgzfSZQdSYEETacQlDnCYRFbYrMmbymwMJJ9Semcd3HGSHBVXJ1BKy2cZumgyeApHn1QpiTnMWJFcKy2Yxm7FQbWYzVu0EaDw/KVGZCDRuFQ3KRQWXUaBs1HQd3clHzVKDkOqkpMiRAQ3+xNKWuvSlMI3pnmogg4AAACH5BAEIAP8ALMUAnQAMABYApwAAAAEBAQICAgMDAwQEBAUFBQYGBgcHBwgICAkJCQoKCgsLDAwMDA0NDQ4ODg8PDxAQEBERERISEhMTExQUFBUVFRYWFhcXFxgYGRkZGRoaGhsbGxwcHB0dHR4eHh8fHyAgICEhISIiIiMjIyQkJCUlJSYmJicnJygoKCkpKSgqLCgrLiksLyotMCwtMC8vLzAwMDExMTIyMjMzMzQ0NDU1Njg4Ojo6Pzs8QTw9RD0+RT0+Rj4/Rz4/Rz8/SD9ASD9ASD9ASEBBSEBBSEFBSUFCSUJDSUNESURFSUVGSUdHSklJS0pKTExMTU5OTk9PT1BQUFFRUVJSUlNTU1RUVFVVVVZWVldXV1hYWFlZWVpaWltbW1xcXF1dXV5eXl9fX2BgYGFhYWJiYmNjY2RkZGVlZWZmZmdnZ2hoaGlpaWpqamtra2xsbG1tbW5ubm9vb3BwcHFxcXJycnNzc3R0dHV1dXZ2dnd3d3h4eHl5eXp6ent7e3x8fH19fX5+fnt/g3qAhnqBh3uCiH+DhoSEhIWFhYaGhoeHh4iIiImJiYqKiouLi4yMjI2NjY6Ojo+Pj5CQkJGRkZKSkpOTk5SUlJWVlZaWlpeXl5iYmJmZmZqampubm5ycnJ2dnZ6enp+fn6CgoKGhoZSjro6jtYykuI+ltpimsaenp6ioqKmpqaqqqqurq6ysrK2tra6urq+vr7CwsbGxsrS0tba2uLi4urq6vLu8vry9v72+wL6/wb6/wr/Aw8DAw8DBw8DBxMHCxMHCxcLDxcbHydbW2OPj5Ojo6evr7O7u7u/v7/Dw8PHx8fLy8vPz8/T09PT09PX19fX19fb29vb29vf39/f39/f39/f39/j4+Pj4+Pj4+fj5+fn5+fn5+fn5+fr6+vr6+vr6+vr6+vr6+vr6+vr6+vv7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/z8/Pz8/Pz8/Pz8/Pz8/Pz8/Pz8/Pz8/P39/f39/f39/f39/TLNMgiZAPnx+0ewoMF7CA0qZMeQnUKDwsJJfEhwSDBsGCn+GwJMmkeNQHY5GwlS17KTGnvYQsZS445axmJqZCGIlE2K2nLIIkbMoD+C/pL982KnoL+j/44WMyIM6NGfSIkZSXrU2VEjWLFiqLpAlr8jXgli+OdsgTAX/oihFVu2aRNg/prIImjELEFhK/4Ne6GxybB/MzQSWyHm77+AACH5BAEHAP8ALMUAoAAMABkApwAAAAEBAQICAgMDAwQEBAUFBQUGBwcHBwgICAkJCQoKCwsLDQsLDgwMDQ4ODg8PDxAQEBERERISEhMTExQUFBUVFRYWFxcXGRgYHBUYIRkZHRsbGxwcHR0dHx4eIB8fIR8gIiAhJSAiJyAjKSAkKiElLCElLSEmLx4mMyIoMSIpMyEqNiQsNSQsNiUtNiUuOScuNykvNyovNy0xOC8zOTI1OjQ2OzY3Ozk5PDk6PTo6Pjs7Pjs8Pzw8QD0+Qj8/RUBAR0FCSkFCS0FCS0JDSkJDSkRESkVFSUZHSUhISUlJSktLS0xMTU1NTU5OTk9PT1BQUFFRUVJSUlNTU1RUVFVVVVZWVldYWFlZWVpaWlpbW1tcXFxcXV1dXl1eX15eX19fYGBgYWFhYmJiYmNjY2RkZGVlZmdnZ2hoaGlpaWpqamtra2xsbG9vb3JycnNzc3R0dHV1dXV1dXV1dXV1dXV1dXV2dnV2d3R3enJ6gW6Aj2qJoWKVvVCUzl2g1lyh2Fyi2Vyi2lyi21yi21yi21yi21yi2l2i2V6h11+g1GKfz2edyG6avXqWq4iRmI+Pj5CQkJGRkZKSkpOTk5SUlJWVlZaWlpeXl5iYmJubm56enqKioqSlpqenqKusrrCxs7W2uby8v8DBxMbGycnKzMzNz9DR09PU1tjY2t3d3uDg4eLi4uPj4+Pj4+Tk5OTk5OTk5OXl5ebm5ufn6Onp6urq6+zs7Ozs7Ozs7Ozs7Ozs7Ozs7O3t7e7u7u/v7+/v8PDw8PDw8fHx8fLy8vLy8vLy8vLy8vLy8vLy8vLy8vLy8vLy8vLy8vPz8/Pz8/Pz9PT09PT09PT09PT09PT09PT09PT09PT09PT09PT09PX19fX19fX19fX19fb29vb29vb29vb29vb29vb29vb29vb29vb29vb29vb29vf39/f39/f39/f39/j4+Pj4+Pj4+Pj4+Pj4+Pj4+Pj4+Pj4+Pj4+Pj4+Pn5+f39/f7+/v7+/v7+/v7+/v7+/v7+/jLNMgifAO/d+0ewoEF5CA0qHMdwnMKC1SJGfPgPmcWLD31p3OjrYahcIEMqXNFHkMmTCnt8asWypcIRXuzInKmwCKmC/nLWvElQJ85/NnP6/CcUKE+cRe/ZROqPaNNgSzP41OmPls0MCqmuKoKVYDWiRcKG7VqNAah/Rs4SxFqWlIx/q96ubfuPyai6alEY6EOwj1RUXR+uQOUPBcV/fl/w/RcQACH5BAEIAP8ALI8ApgCLAB0Apw4PGQ8QGxESHBQUHRQUHhUVHxUVIBYWIRgYIhoaJB4eJyEiKyMkLiUnMCYoMikrNTMyOzU4QTo9RzxBTT5GVD9MXkVVcEpfg05pl09xqE53tkt6vkR+yDuC1S6I5x2P/h2P/h2P/h2P/h2U/h2Y/h2c/h2h/h6l/h6o/h6r/h6u/h6w/h6x/h6s/h6f/h6a/h6Y/h6R/h6Q/h6Q/h6Q/h6Q/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/iSP/iqP/jiW/EKb+0+g9lum82Sp8m6t8nev9H6v+IGx+oa4/YvB/ZHL/pXQ/pjU/pvU/JvS+Z7R86XP7a7M57XK47zH2sXF0M3DxtPDvNvEseHFrOTFp+fHp+rKquzOsu7Uu/Pexvbn0vXs3vHt5e/x7e308ur4+Oj6++b6/OH1/eHy/eLw/uTw/unx/vHz/vX2/vn6/vz8/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+//7+/v7+/v7+/zLNMgj+AP8JHEiwoMGDCBMmdOVKocOHECNKnEixokNHGC1q3Mixo8eDrUK2+kiypMmTF1KmPMlyI42XMGPKnEmzps2bOHPq3Mmz500WuGDWogH0ZSZQOYfSwIQUkz9/tYr6nEq1qlWZLPzte8liaK1JNGb5Q3pT7D6nY2eBVcv0qtu3cGdmksq0KItKR2GqpZEp6Kxas/oCnUVJ7ySpcRMrnio10yRMSvmSDQs2bK2gNjMp3bu4s2ebUofmNYo001OtRHFVpvlXb+HPsGPbHQoZ5mjKL/9iljsZN00AHGILt1q0LeLbe1u3xorrNCXEMwE0CD68+tWvidvWBPBvuvXvjHf+u4UeXaB38OjT3+T+9Lz69+8BnO5OHb7n0/jz69/Pv7//pwjkNwEo/xVo4IEIJqifKabld0ok+D2o4H8BCkjghBhmqOGB/YgSS36jiLUhfhXip8uAI6aoIn/9UAABBrMwaAoEEGgQy4MtZrKKBbVIuGKJ+LmC4opEqrgKhE/JCOEotTDozyoYUGDakUQCiV8rQxapZYajQMCjjKYxyeRTp3Tw1Co2/tgfllu2meGDYPrDpJNojjIlkiqWmMtTE/TZp5uAGrgKjTDGyeSDO9aSqI95PpULAKL4M0GkgVY6Yocf4hdilf48CsoD/rQCqqWkvomnP4zm6ak/FRBYAaUmpcYqq38TAHAhKA6MBcGsvPbaX6v+7Orrli2d1IoDFoBS7LIKBQQAIfkEAQcA/wAsjwCqAIsAIACnAQIFAgQJAwULBAYNBQcQBwkSCQwWCQ0aCg8cFRMgIBcjJxolLR4rMSIxMyY1Mig6MSs/Li5EJC5KHDBQEzNYEzhgEzxoFEJyF0mDGVKVGl6qGWy9GnLKGnjVGnzdG4DkG4LoHIXtHIr2HY78HY/+HY/+HY/+HZT+HZj+HZz+HZ/+HaL+HaT+Hqb+Hqj+Hqz+Hq7+HrH+Hq7+Hqj+Hpv+HpP+HpD+HpD+HpD+HpD+HpD+HpD+Ho/+Ho/+Ho/+Ho/+Ho/+Ho/+Ho/+Ho/+Ho/+Ho/+Ho/+Ho/+Ho/+Ho/+Ho/+Ho/+Ho/+Ho/+Ho/+Ho/+Ho/+Ho/+Ho/+Ho/+Ho/+Ho/+Ho/+Ho/+Ho/+Ho/+Ho/+Ho/+Ho/+Ho/+Ho/+Ho/+Ho/+Ho/+Ho/+Ho/+Ho/+Ho/+Ho/+Ho/+Ho/+Ho/+Ho/+Ho/+Ho/+Ho/+Ho/+Ho/+Ho/+Ho/+Ho/+Ho/+Ho/+Ho/+Ho/+JJX+Kpr+MJ/+NqP+O6j+QKz+RK/+SLP+VLn9Xb78ZcP8bsP3dcb1esv2ftH5gtP5h9b5jNj5kNj5k9f4ldj4l9j4mNn4odv5qN35sOD6ueH7w+D8zeL81uP72uP73uT64eX65Ob55uj56ev57O367u778O/88/P9+Pj+/Pv+/v3+/v7+/v7+/v7+/v7+/f7++/7++f7+/P7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v79/v78/v77/v73/v7y/v7t/v7p/v7n/v7k/v7j/v7h/v7f/v7e/v7e/v7d/f3d/Pzd+/vd+fnc9/fc9fTb7uvY6ePU4NnP2dHL1MzIyr3CwrK7vq63v6iow62uybKuzrm11MK52cm94c+96da879u78966+OG5Ms0yCP4ARwkcSLCgwYMIEypcyLChw4cQFfobJLDcvFETBdKLtNCiwHsc7zlwwChjxJMoU6os6M9BHoH+GHGbh4obvQscE5YbmUckTpoWUYFcSbSoUYPvTILMyG7Sxoo0R9EbZJMRPXyDJtKbBBWVyaNgw55UKpTRwKejgo6yOVUhPbNqxcqdmzCjR7RSOdIb6RLjBlQIqwq0yZWu4cMZY466Z1ZjTrVsKR7EG/ewZbEZh35FG7SqYJZ8M0z6ern03JmAjw5N+M+065SkV8Y2+K/169u4G9a2nbu3b4G7ef+eu6O48ePIkytfzry58+fQo0ufDv1QpeQxOh3PTt05Ag7dw/6LH09+hyRDyB89Kn8cwQTw7OPLfy5J4CPrhwSCMsRd0nVUknAnHwL/vDffgQgWJ+AO+Gn3iCTWFYdKJdctyB6BBcKX4IblPSIQhJVE+OCDCoJiXCXoxYdhhhy2SF52+F33YIQ7VOLfDhaWt+IoBrroI3QxpHZfiDIGqB2AOwCYI3kYDtTjj1CKd1566w0oHItRZjmdhUsyOZBtnzyp5ZhkGocAcLb904mYZbYJ5Yq1AZcJm26WF9ydeOap55583qnAnQS1E0GfhBZq6KGIJqpon3/W5kltEUQa6aKUVmrppZY26okB8vwTwTyYhirqqKT+uSk8D/zTTqqkturqqzCMnuppPJ6CCuutuLYagQHw1AaPA/+8M2iuxBYragTv/AOBscw2qygmDlzQq7O3BgQAIfkEAQgA/wAsxQC3AAwAGACnAAAAAQEBAgICAwMDBAQEBQUFBgYGBwcHCAgICQkJCgoKCwsLDAwMDQ0NDg4ODw8PEBAQEREREhISExMTFBQUFRUVFhYWFxcXGBgZGRkZGhoaGxsbHBwcHR0dHB4hGyAnGCEuFiMzFCQ4EiQ9ESU/ESVAESZAEyY/Fic8Gic5HSg3IikzJisxKCwwKy0wLy8vMDAwMTExMjIyMzMzNDQ0NTU1NjY2Nzc3ODg4OTk5Ojo6Ozs7PDw8PT09Pj4+Pz8/QEBAQUFCQkJFQ0NEQ0RGRUVFRkZGR0dHSEhISUlJSkpKS0tLTExMTU1NTk5OT09PUFBQUVFRUlJSU1NTVFRUVVVVVlZWV1dXWFhYWVlZWlpaW1tbXFxcXV1dXl5eX19fYGBgXGJoWWRvUmZ6TGiERGqQPmyZOG2jL2+uKHG5IHTHHHbPG3jVGnvbGn7hG4TqHIn0HY36HY/+HY/+HY/+HY/+Ho/+Ho/+Ho/+Ho/+Ho/+Ho/+Ho/+Ho/+Ho/+Ho/+Ho/+Ho/+Ho/+Ho/+Ho/+Ho/+Ho/+Ho/+Ho/+Ho/+Ho/+Ho/+Ho/+Ho/+Ho/+HpD/HpD+HpD+HpD+HpD+HpD+HpD+HpD+HpD+HpD+HpD+HpD+HpD+H5D9IJD9IZD8I5D6JZH5KZH2LpLzM5PwOpTrQJXoR5bkT5jfWZraY5zUb5/OfKLHjKa/nKq3rq6ur6+vsLCwsbGxsrKzs7O0tLS0tbW1tra2t7e3uLi4ubm5urq6u7u7vLy8vb29vr6+v7+/wMDAwcHBwsLCw8PDxMTExcXFxsbHx8fIyMjJycnKysrKy8vLzMzMzc3Nzs7Oz8/P0NDQ0dHR0tLS09PT1NTU1dXV1tbW19fX2NjY2dnZ2tra29vb3Nzc3d3d3t7e39/f4ODg4eHh4uLi4+Pj5OTk5eXl5ubm5+fn6Ojo6enp6urq6+vr7Ozs7e3t7u7u7+/w8PDw8fHx8vLy8/P09PT19fX19vb29/f4+Pj5+fn5+vr6+/v7/f39/v7+/v7+Ms0yCI4AHz36R7CgQYEDDR5EqLAgQoEN/z2E2HDNxIYmLD7EqJGhwowXP3akaBDkRoVCkhH0589gS4LJWL78J/NfvpQua/qDh5MmS5800aXE8BMoy3BCMBSkR1OIU6dK/9FbQMsfkVkvlU5N5uJfuK4EMWz9x0QY2VkEhSxQ+S/Zin/WXkQka+3fjLnlVoRxRjAgACH5BAEIAP8ALI8AtgCLAB4ApwoPHgsQIA0RIQ4TIhIVJBUYJhgaKRoeLRwiMh4kNR8nOSIrPSQuQiczRyg2TCg4UCU5VSM8WiNFaSNSfiNgmSNzsCV9viaFyieM0yeQ2CeU3CaX3yaa4SWc5CSf5yOi6iKl7iGq8iCv9x60+x22/h2v/h2i/h6W/h6Q/h6Q/h6Q/h6Q/h6Q/h6Q/h6Q/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/h6P/iOS/TSa/EGf+0uk+lqo7Wqo3nSm0n6jxImjvJCit5Whs5mhsZygsJ+hr6Gir6qmr7Kxtre8wL7L1sHV58Tc88Tg+8Xi/cXm/c3o/dfs/uTw/uzw/u/w/vTy/vr6/v39/v7+/v7+/f799/788/767P756f756f767/79+f7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v/+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v////7+/v7+/v///zLNMgj+APcJHEiwoMGDCBMqXMiwocOHEBsmcmTQkx+CFiNq3Mixo8eGnRJRKohI0seTKFNu7ISoAQVJExM1aGCBkkWWjj5JgJRRpc+fQAV6+jMw5kVEkCbu+1SoEMWhQaNK9dhyZ0yKSJEKxSCQ6cipYMM2tHh1H1KlTBE9JSq2rVuhM1+WRWpRJyS7Pd/q3Usw5NeBJX3+40vYYd59h1H+G1y4ceHFjB1LbltgEeTJQVlo3sy5s+fPoEOHBqDggujTqFOrXs0aNSREnF+3Bg3gX+nZuHPr3s2ChKTOvnlrrm3btPDjyEVDEgjbpKXeAiuxeE0iGp9Hz2XzJl48uffvJCz08SFRCdJv85AebZbEh8WjSuKnq98Oufv3+7zJb5ZNnoRAS/pplp5mj/xGX3234afgbOGNV955Bk5XUnsFxjfggYMtluCCHKb2iEDqOTdddBJi5152sB040D+XbNjhi7oFx5mM9BE0WCUuwqgja9oJmOJ2Kwo02CQ57mjkkcMJyRhjRCKJX31QRinllFRWCWUBkFky2ANccmnll2CGKeaYZJZpJZb/WAJAIvs8wKaZcMYp55x0YqnmIgv8M0medPbp559/FnDnPxFYFkEigCaq6KJWPgCAZf8sosA/jDDA6KWYZkooI/80oOmnoNJJpASQhoppQAAh+QQBGQD/ACzFAMEADAAVAKcAAAABAQECAgIDAwMEBAQFBQUGBgYHBwcICAgJCQkKCgoLCwwMDAwNDQ0ODg4PDw8QEBARERESEhITExMUFBQVFRUWFhYWGBoWGR8VGyUUHSsSHzERITYQIjoOIz8NJEMLJUYKJUgKJUkJJUoJJUoJJUoKJkoKJkkLJkgMJkgNJkcPJ0URJ0QUKEIXKUAaKj4fLDwjLTooLjgrMDguMjcyNDc2NjY3Nzc4ODg5OTk6Ojo7Ozs8PDw9PT0+Pj4/Pz9AQEBBQUFCQkVDQ0NEREVFRUVGRkZHR0dISEhJSUlKSkpLS0xMTExNTU1OTk5PT09QUFBRUVFSUlJTU1NUVFRVVVVWVlZXV1dYWFhZWVlaWlpbW1tcXFxdXV1eXl5fX19gYGBhYWFiYmJjY2NkZGRlZWVmZmZnZ2doaGhkaW9ga3ZbbH1YbYNQbo1Jb5VBcKA6cag0ca8ucrYpcrslcr8icsIfcsUccscacskZcsoZcssYcssZcswYcswZc80ZdM4ZddAZdtMZeNcafNwbf+IbhOsciPEdi/Ydjfsdjvwdj/0dj/4dj/4dj/4ej/4ej/4ekP4ekP4ekP4ekP4ekP4ekP4ekP4ekP4ekP4ekP4ekP4ekP4fkP4gkP0ikPskkPopkfcvkvI2k+1CleZRl9xim9FznseHorufp66pqamqqqqrq6usrKytra2urq6vr6+wsLCxsbGysrOzs7S0tLS1tbW2tra3t7e4uLi5ubm6urq7u7u8vLy9vb2+vr6/v7/AwMDBwcLCwsLDw8PExMTFxcXGxsbHx8jIyMnJycrKysrLy8vMzMzNzc3Ozs7Pz8/Q0NDR0dHS0tLT09PU1NTV1dXW1tbX19fY2NjZ2dna2trb29vc3Nzf3+Di4uLl5eXp6ers7O3v7/Dy8vL09PX29vf4+Pj5+fn6+vr7+/v8/Pz9/f39/f39/f3+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7////+/v7+/v7///8yzTIIewD37ftHsKBBTAgNKvzXJ+FCgiYaYnoIUSLFfxEdPsw4kSLHix89Wnx4LuTCcRkNDvwnENy/ZAUFDhT4z5sQggLJDRTCkyfLfeQW0NpHZNbKDEAXJJuxzxtTghmCwmQibB+TWQSFKCWYTMY+azMoMrH2rwbFbzLEOCMYEAAh+QQBCAD/ACy6ALgAGAAfAKcAAAABAQECAgIDAwMEBAUFBQcGBgkHBwoICAsJCQwKCg0LCw4LCw8MDA8NDRAODhAPDxEQEBERERITExMUFBQVFRUWFhYXFxcYGBgZGRkaGhobGxscHBwdHR0eHh4fHx8gICAhISEiIiIjIyMkJCQlJSUmJiYnJycoKCgpKSkqKiorKyssLCwtLS0uLi4vLy8wMDAxMTEyMjIzMzM0NDQ1NTU2NjY3Nzc4ODg5OTk6Ojo7Ozw8PT4+PkA/P0E/QEJAQURBQUVCQkZCQ0ZDQ0dEREdFRUhFRkhGR0lHSElJSUpKSktMTExNTU1OTk5PT09QUFBRUVFSUlJTU1NUVFRVVVVWVlZXV1dYWFhZWVlaWlpbW1tcXFxdXV1eXl5fX19gYGBjZmJmbGNpcWRrdmZue2Jxf1t0hmB3jmJ5lWV8nGl/pW+BrXaDsniEtXiFuHqFunuGu3uGvHyGvX2Gvn6Hv4CHwIGHwYOHwoWHw4aHw4eHw4eHw4eHw4eHw4eHw4eHw4eHw4eHw4eHw4eHw4eHw4eHw4eHw4eGw4iFwomFwoqDwouCwYyCwY2BwI6AwI+Av49/v5B/vpF/vpF/vZF/vZGAvJGAvJGBu5GCupKDuZKFuJOHtpOKs5SMspaJrp2Hq6OGqaeHpquIpLCNpK+To7CYpa6fpquoqKipqamqqqqrq6usrKytra2urq6vr6+wsLCxsbGysrKzs7O0tLS1tbW2tra3t7e4uLi5ubm6urq7u7u8vLy9vb2+vr6/v7/AwMDBwcHCwsLDw8PExMTFxcXGxsbHx8fIyMjLy8vQ0M/U1NHZ2dLe3tLi4tPm5tPp6dPs7NLv79Ty8tH29tP4+Nf5+dr7+9z8/N/8/OL8/OX8/Of8/Oj8/On8/Or9/ev9/ef+/uT+/uH+/t7+/tz+/tr+/tf+/tL+/s7+/sf+/r7+/rP+/qb+/pb+/pL+/pD+/o7+/o3+/oz+/ov+/ov+/or+/on+/on+/oj+/of+/of+/of+/of+/of+/ocyzTII/gD/CRz479u5dezatWO3Dt03ghAHfktHz5/FixbvqXsYUSA4dxhDXoRHrqO5iiJT3ksHERzKlDDLSQQJs2Y8julq6vS3ruDLnSkNAtWZbt3QmuxACVrKtKnTp4IiSYJKlWqkqkvNuMGqCasgM2i2Qo0UyqsZf2GhZhpl1mJap6NGIcJ61q1YpqP+sa1a1y7TUAJHNeIbMi2ivIHnQu17MSzigXufMraYb0nHcvFEngl5D520jgWNYtx8kR1HaP+QdZzIDuQZd+zUgSv4rbYzIqAlYqDtrSCR379zC/yGobY3BrS+FZklnCDxb8eRsfjnbHrz4Riif2MibDvz6/+IGDBQnRrFv2UuwEfcvuzbDPURn6EAo0xgQAAh+QQBBgD/ACy6ALgAGAAYAKcAAAABAQECAgIDAwMEBAQFBQUGBgYHBwcICAgJCQkKCgoLCwsMDAwMDQ4MDhAODxAQEBARERESEhITExMUFBQVFRYWFhcXFxgYGBkYGBoZGRsaGhscHBwdHR0eHh4fHx8gICAhISEgIiQgIycfJCogJSwgJi0hJi0jJy0lKC0nKSwrKyssLCwtLS0uLi4vLy8wMDAxMTEyMjIzMzM0NDQ1NTU2NjY3Nzc4ODg5OTk6Ojo7Ozs8PDw9PT0+Pj4/Pz9AQEBBQUFCQkJDQ0NERERFRUVGRkZHR0dISEhJSUlKSkpLS0tMTExNTU1OTk5PT09QUFBRUVFSUlJTU1NUVFRVVVVWVlZXV1dYWFhZWVlaWlpbW1tcXFxdXV1eXl5fX19gYGBhYWFiYmJjY2NkZGRlZWVmZmZnZ2doaGhpaWlqampra2tsbGxtbW1ubm5vb29wcHBxcXFycnJtc3lkdYZcd5JSeqFKfK1Dfrg7gMMwgdEoheAihukfiO4eifIdivUdjPgdjvsej/4ej/4ej/4ej/4ej/4ej/4ej/4ej/4ej/4ej/4ej/4ej/4ej/4ej/4ekP4ekP4ekP4ekP4ekP4ekP4ekP4ekP4ekP4ekP4ekP4ekP4fkP0gkP0hkPwjkPomkfgqkfYwkvE5lOxDleVRmN1im9Ntncx6oMWJo72ap7Srq6usrKytra2urq6vr6+wsLCxsbGysrKzs7O0tLS1tbW2tra3t7e4uLi5ubm6urq7u7u8vLy9vb2+vr6/v7/AwMDBwcHCwsLDw8PExMTFxcXGxsbHx8fIyMjJycnKysrLy8vMzMzNzc3Ozs7Pz8/Q0NDR0dHS0tLT09PU1NTV1dXW1tbX19fY2Nji4uLr6+vy8vL4+Pj7+/v9/f3+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v4yzTIIeQD/CRz4z5/BgwgJKhyIsGHDhQwdSjQIcaJFfwovXoyo0aLAjhtBihxJUiSmkyhTqlzJsqXLlyod6IEJ04GJmTRbOvB3MyfLnTxx+kQJNOjKfzUR9kQpMKlSoQNfFj3YU6HLqQa5magoMYNEiB8den0IlqPBsRQXBgQAIfkEAREA/wAsgQCcAKcATACnR0ZVVkplaldweWh8eHiZcY66b6bXcK7la7PvarbycrnviMLrmsvqqdPquNjlx9va1d7R3d7J5t/C7N687+PN7ern7Ozs7O3t6+3t7O3t7e3t7u7u7u7u7u7u7u/v7/Lz9vb3+Pn4+/z5/Pz3/P32/f30/f3z/f3x/v7w/v7v/v7u/v74/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/P7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/////v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/////v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/////v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/////v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/////v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/////v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/////v7+/v7+////Ms0yCP4A/wkcSJDgtIMIEypUOMFAwgkKFkqcSLGixYsYM1qE4CEhAYQFQ4osmDCBRoUQaKBUebKly5cwKQ7413GawAgHTYIcOVKhzof/ADhQAQCAwwFFHTRUMYCBCgFKI8acSrVqRQE0sUJA+HMnz3/TBjTwqVAFARoNm4ZlcPYgxGlm1Ta0SrduVaz/tnKdyPOgWLIPHcJtC3FCUQYTGLgVbJal3ceQMQ7Qu5dvSIR/S5Y9G1ex2mkN33YGLTiy6dMXuy687HesZoaHiRqVLXQp1KdRUeveDdjyQIuqNaZcybu47uAKDVZEjnEuwrfGo0dm7jW19OvYMVLfaT279++VK/4KTJ2gvPnz6NOrX8++vfv38OPLn3/+4njw+PPDvK+/v3/xGX0l4IAEFmjggQgmSGBGHDTo4IMQRijhhBROmJyCGGao4YAMVujhhyBGuNqGJJaYYYchpqhihGAlZOKLMC6I0Yo00thiizbFqOOO/FlU448hHsQfj0TCiCIFBGAAIQQVJAnkijniWOSUJB7ppIMNPVnjiFR2qWBGGCAZAQEVIGUUUgskaRgAC1BQFJtasvhblF7WWSCYYpKp5AQFNNTkAwOEOQCgGPAZJ4Rz2qnonRiFScCYGERQVJ8G/FlAg2KpeemhDi7qqYFgTvDoowZwwKefBBBKwaCactrpp/6wfhVgAKNKCgABj7KpZlFttuoqB7EGKxKKvz4p7LFzXlRsnMgiS+yyNTZ77LPQriitsNRWm+K1wWarLYjcxurttx6GC6tdCHp1n7nmopsunUKyG6678taLIb325gvqf/z26++/AAdMFQAPCAzwkNzpVlTBBjccHQDTEOywwzieBnFQDE+scWQXY7wxfgjHu1vHHn9sclUkl3zyyi6lrDLLFhEAQLIauxyCxDBbVEBNNdl3rcv/fCCxvgLiO6xNQrooY7wEAv1PBUMT3RNFBDwyDQsB9sUX07LS2bTXA0ENttQ9LoQUBBWLp5zaN6aNdI5Kfy0QCDbN/BvZR8v0z8NHGLHGNUnwJux2gReDIFTEDoyNd9kKIfWA274lq3XFN46o7lcQG/4AxGIvPvVEVU9Dd9+A/71u6XC/HbeAAGgeccGHe+63VYC3vXbCLop8OeZDbz4NBE4vTlEBHxxUPOnyArBV8HhTfTvb7EItwFayo74QAFZrVL3sFNnNeOTbS31V9lmHT3aAOafv0vfqty8R++7Hr7v89Ctd//1M40//8/qnb33/LJsdAAMowAF+TGsGPGDREkixfTHwXxt6IMgIFBAAIfkEAQgA/wAswwDEAA4AEwCnCgoQDAwTDg4WEREZEhIbFBQeFRUfFhYhFhYiFxciFxcjFxcjFxcjFxcjFxcjFxcjFxcjFxcjFxcjFxcjFxcjFxcjFxcjFxcjGBgkGBgjGBgjGBgjGBgjGBgjGBgjGBgjGBgjGBgjGBgjGBgjGBgkGRkkGRkkGRkkGhokGxslHBwlHR0mISEpJCQsKCgvKywzLi41MjI5NTU8ODg/OjtCPD1EPj9GP0BIQEFJQEFKQUJLQUJLQUJMQUJMQUJMQUJMQUJMQUJMQkJMQkNMQkNMQkNMQkNMQkNMQkNMQkNMQkNMQkNMQ0RMRERNREVNRUZNRkdOSEhOSUpPS0tRTU1RTk9SUFBTUlJUVFRWVlZXWFhZW1tbXFxcXV1dXl5eX19fYGBgYWFhYmJiY2NjZGRkZWVlZmZmZ2dnaGhoaWlpampqa2trbGxsbW1tbm5ub29vcHBwcXFxcnJyc3NzdHR0dXV1dnZ2d3d3eHh4eXl5enp6e3t7fHx8fX19fn5+f39/gICAgYGBgoKCg4ODhISEhYWFhoaGh4eHiIiIiYmJioqKi4uLjIyMjY2Njo6Oj4+PkJCQkZGRkpKSk5OTlJSUlZWVlpaWl5eXmJiYmZmZmpqam5ubnJycnZ2dnp6en5+foKCgoaGhoqKio6OjpKSkpaWlpqamp6enqKioqamprKysr6+vsbGys7S1tra3uLi5uru8vb2/v8DCwcLEw8TGxMXIxcbJxsfKx8fKx8jLx8jLx8jLx8jLx8jLx8jLx8jLx8jLx8jLx8jLx8jLx8jLx8jLx8jLx8jLyMnMyMnLyMnLyMnLyMnMyMnMyMnMyMnMyMnMyMnMyMnMyMnMycnMycrNycrNysvNy8zOzMzPzc3Qzs/R0NDS0tLU09TV3Nze5OTm7e3u9PT1+fn5+/v8/f39/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+Ms0yCHsAMTjz5++fwYMIMRwZWBBhwn8LCTo8iOGfv4gNHVYsiHHiRoMdH2YMafDjQZImDY4LmdKguI4tDYLDGFPmEYIfxVk8cuQgToviArTy12RoxopBnb3wB27p0aT+psyKahRkAIbOXPjzBkPixH9TvPmTYfHrP3AuxGzzGhAAIfkEAQcA/wAsugDEABUAEwCnCgoQDAwTDg4WEREZEhIbFBQeFRUfFhYhFhYiFxciFxcjFxcjFxcjFxcjFxcjFxcjFxcjFxcjFxcjFxcjFxcjFxcjFxcjFxcjGBgkGBgjGBgjGBgjGBgjGBgjGBgjGBgjGBgjGBgjGBgjGBgjGBgkGRkkGRkkGRkkGhokGxslHBwlHR0mISEpJCQsKCgvKywzLzA2MzM6NjY9ODlAOztCPT1FPj9HP0BIQEFJQEFKQUJLQUJLQUJMQUJMQUJMQUJMQUJMQUJMQkJMQkNMQkNMQkNMQkNMQkNMQkNMQkNMQkNMQkNMQ0RMQ0RNREVNRUZNRkdOR0hOSElPSktQTExRTk9SUFBTUlJUVFRWVlZXWFhZW1tbXFxcXV1dXl5eX19fYGBgYWFhYmJiY2NjZGRkZWVlZmZmZ2dnaGhoaWlpampqa2trbGxsbW1tbm5ub29vcHBwcXFxcnJyc3NzdHR0dXV1dnZ2d3d3eHh4eXl5enp6e3t7fHx8fX19fn5+f39/gICAgYGBgoKCg4ODhISEhYWFhoaGh4eHiIiIiYmJioqKi4uLjIyMjY2Njo6Oj4+PkJCQkZGRkpKSk5OTlJSUlZWVlpaWl5eXmJiYmZmZmpqam5ubnJycnZ2dnp6en5+foKCgoaGhoqKio6OjpKSkpaWlpqamp6enqKioqamprKysr6+vsbGys7S1tra3ubm6u7y9vb7AwMDCwsLFw8TGxMXIxcbJxsfKx8jKx8jLx8jLx8jLx8jLx8jLx8jLx8jLx8jLx8jLx8jLx8jLx8jLx8jLx8jLx8jLyMnMyMnLyMnLyMnLyMnMyMnMyMnMyMnMyMnMyMnMyMnMyMnMyMnMycrMycrNysvNy8vOy8zPzM3Pzs7Qz9DS0dLT1NTW3t/g5+fo8PDx9vb3+vr6/Pz9/f3+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+Ms0yCKEAMTj7R7DgP3/+DCr8h+HIQIUIEy4kiOGfQ4gHJS6saPEhQYkIJ3LsWFBjSIUjSR40eLJgSpIaP8Z82TGmTJcLx12EeJLmv3A7WYb0+Q9c0JIIifr7dmRi0oLiCB6ZOnVlxogcxQVo9a9JK5AhW1bU6uzFv28vEkZUqxED2X9UZsH9Gpat1AAPnbn45w3GyboT4Xr7F4On1YXgXIjZxvNkQAAh+QQBCAD/ACxSAKgAdAAvAKcAAAABAQECAgIDAwMEBAQFBQUGBgYHBwcICAgJCQkKCgoLCwwMDQ8NDhEODxMPEBURERgREhsSEx0SFB8TFCATFSAUFSEVFiAWFyEXGCAYGSEZGiEaGyEaHCEbHCIcHSIdHiQeHyUgICYhIiYjIygkJSkmJyonKCwoKS0pKi8qKzAqKzErLDIsLTIsLTMtLjMuLzQvLzQwMDUxMTUyMjUzNDY1NTY3Nzc4ODg5OTk6Ojo6Ozw8PDw9PT0+Pj4/Pz9AQEBBQUFCQkJDQ0RERERFRUVGRkZHR0dISEhJSUlKSkpLS0tMTExNTU1OTk5PT09QUFBRUVFSUlJTU1NUVFRVVVVWVlZXV1dYWFhZWVlaWlpbW1tcXFxdXV1eXl5fX19gYGBhYWFiYmJjY2RkZGVlZWdmZmdnZ2hoaGlpaWlqampra2tsbGxtbW1ubm5vb29wcHBxcXFycnJzc3N0dHR1dXV2dnZ3d3d4eHh5eXl6enp7e3t8fHx9fX1+fn5/f3+AgICBgYGCgoKDg4OEhISHhYSJhoSKh4SMioeOjIuOjpCQkJKTk5WXl5qam5+dnqKfoKWhoaeio6ijpKmkpKqkpaulpqylpqymp62np62nqK6oqa6pqa+qq6+srLCurrGvr7GwsLKwsLKxsbKxsbKxsbKysrKysrKysrKysrKysrKysrKysrKzs7Ozs7Ozs7Ozs7Ozs7Ozs7O1tbW2tre4uLm7u72+vsDAwMLBwcTExMbHx8rKys3MzM/OztHPz9LQ0NPS0tXU1NfW1tjZ2dvd3d7f3+Dh4eLj4+Pk5OXl5ebm5ubn5+fn5+jo6Onp6enq6urr6+vs7Ozu7u7w8PDy8vLz8/P09PT19fX29vb29vb39/f4+Pj4+Pj4+Pn5+fn5+fn5+fn5+fn6+vr6+vr6+vr7+/v7+/v7+/v8/Pz8/Pz8/Pz8/Pz8/Pz9/f39/f39/f39/f39/f39/f3+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v4yzTII/gD/5RtIsKDBgwgTKlzIsKHDhP8iSpxIUWC8eOsyatzIsaPHjyBDihxJcuPFgRVT/ltHLly3l9tiypxJs6bNmzhz6typ82W3cOTWoVQ5MRzRo0iTKl3KlGk4oUqrNZ1KtapVotXO5VM67arXr2CJTiMXT6m0sGjTXpUWLt5WpNHUyp2bNFrbt0fj0t3LN6Jdt3X7Cp77Fy9RvYMTgy0cWPFURDuszHHMGK7jqUJy0QJC+W7jy0strAu34ZbiynlBM6Xgzx+FzoAtq1bK2jVswyoRzz5amwIYM7hy6eqL+vDupL07XTIzBEghXcMJe5Z9nGjv1hS2IXMBBAgh6bGP/p6tbh176xHYry1LMZdteKLjyae87g99feztyeJO2VX+/NYbtIbDefjJNc05ZSVVTTG3zDILLBBGKOGEFFZo4YUSggLha/8sE5FU/+ASEQUYljihg7cUUw1USXUzzTPOOMPMjDTWaOONOOao44yUNLHBHcdwaN2ORNoY4zPTdPMeUfGccw45UEYp5ZRUVmnllVJKgUs1emAgpEoUYClmlU4uSdRDaKaJkBPR5VIDUhSo+ZB/VH3iwjMR4ckbnf4psoRRSIWjAZ/+6UFHUsjA0FdrhCr1hiRIdWLGoow2ehQwHhBzFBK7LPpPpZaq5AgQIFb0yKGefupPqEQJQgMwdRStowgGwwi2akSgskqRJB7oscswuTQyxB267XUrrsfqOpE2jizRAxR9wJpYsqoqSye11VpLHratYavtZd52++1u3qpa7ripppQrutNKdGu367JrK7KrxivvYPWKa++9lDLq77n8ziVutfsGjG+9Bs8Gb0QBAQAh+QQBBwD/ACx/ALAAGQAbAKcAAAABAQECAgIDAwMEBAQFBQUGBgYHBwcICAgJCQoLCw0MDA8NDREODhMPEBYQERgREhsSEx0TFB8TFSEUFSIVFyMWFyMXGCQYGiQaGyUbHCYcHigdHykeHyoeICofICsfISwfIS0gIi0gIi0gIi0hIy0hIy0iJC4iJC4jJS4kJS4lJi8mJy8nKC8oKS8pKjArLDEsLTEuLzMwMDUyMjY1NDc2NTc3Nzc4ODg5OTk6Ojo7Ozs8PDw9PT0+Pj8/P0BAQENAQURCQkZDREdFRUlHR0pISExJSU1JSk5KS1BLS1FLTFFMTVJNTVNNTlNOTlROT1RPUFZQUVdRUlhSUllTU1lUVFpUVVpWVltXV1tYWFxaWlxbW11cXF1eXl5fX19gYGBhYWFiYmJjY2NkZGRlZWVmZmZnZ2doaGhpaWlqampra2tsbGxtbW1ubm5vb29wcHBxcXFycnJ0dHV2dnd3d3l4eXt6en17e358fIB9fYF9foJ+f4N/f4R/gIWAgIWAgYaBgYeBgoeCgoeCg4iDg4iEhImEhYmFhYmGhoqHh4uIiIuJioyLi42MjI6Ojo+QkJCRkZGSkpKTk5OUlJSVlZWWlpaXl5eYmJiZmZmampqbm5ucnJydnZ2enp6fn5+goKChoaGioqKjo6OmpqeoqaqsrK6wsLKysrW0tLe3t7u5ub27u7+8vMG9vsK/v8S/v8XAwMXAwMbBwcbBwcbBwcbBwcfBwsfCwsfCwsfCwsjDw8jDxMjExMnFxcrGxsrHx8vIyMzKys7MzNDMzdDNztHOztLOz9LP0NPQ0dTR0dXT09bU1djX19rY2dva293b3N7d3eDf3+Dh4eHj4+Ll5ePn5+To6OPp6ePp6ePq6uLq6uLr6+Lr6+Ls7OPs7OPs7OTt7eTt7eXt7eXt7ebt7efu7unu7uru7uru7uvv7+vw8Ozy8u309PH29vP39/b5+fj7+/r8/Pv9/fz9/f39/f3+/v3+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v4yzTII/gD/CRRIigaWUwMTKlw4cIktVVgYSlxYQR48DDImavw3wZ+/CQN7mQonaePAjh9DjixpkqPHCWCw0An1iCSvlignmCIlZAiQOHhumsz58h21GECAGBr60uMIfxzbWXuRrupEov6e/nv6sarXdAtRYvCIA6rWCV+9CrwmEKU1j+ygvoKKNm26Uk8w3LmG0qNfgXTtpnvyit2dCn39Qv0X2O6OXh5t2VD8lzFHVJgzo/IUI5tHz5QXt7VGurS1f4qUwAtd+R+8C/Fiy44n8M4cyoBFU5Ohr7dvfQPfjMq9WLQpMwtFI9PgjLhCI8AUeky4CQi73Ak9zUkuWqAgGsmwLMtbVIEZ94WjNNwJxsxWpSF1wJ5f+A6Tkh5R9CCTON1ka+LdacTaf/6FllBAACH5BAEIAP8ALHwArgAVABoApwYGDQcIDwkJEQoLEwsMFQwNGA0PGg4QHA8QHhARHxASIBASIRESIhETIxETIxETJBETJBETJBITJBITJBIUJRIUJRIUJRIUJBIUJBIUJBMUJBMVJRMVJRQVJRQWJBUWJBYXJBcYJBgZJBkaJBobJRscJR0eJh4fJyAhKCIjKiQkKSYmKigpKysrLC4uLi8vLzAwMDExMTIyMjMzMzQ0NDU1NTY2NzY3OTc4Ojk5PDo6PTs8Pjw8QD09QT4/Qz9ARUBBR0FCSENESkVFTEZHTkhJUEpKUUtLU0tMVExNVU1OVk5PV09QWFBRWVFSWlJTW1NTXFNUXFRUXVRVXlRVXlVVXlVWX1VWX1ZWX1ZXX1ZXYFdXYFdYYFhYYFhZYVlaYVpaYVtbYlxcYl1dY15eY19gZGFhZWNjZmRlZ2ZmaGlpaWtra2xsbG1tbW5ubm9vb3BwcHFxcXJycnNzc3R0dHV1dXZ2dnd3d3h4eHl5eXp6ent7e3x8fH19fX5+fn9/f4CAgIGBgYKCgoODg4SEhIWFhYaGhoeHh4iIiImJiYqKiouLi4yKjo2JkI6Jko+JlJCLlZGNlZKQlZOTlZSUlpWVl5aWl5eXmJiYmZmZmZqampubm5ycnJ2dnZ6enp+fn6CgoKGhoqKio6OjpKSkpaWlpaampqenp6ioqKqpq6urraysr62tsa6tsq6us6+vtLCwtbGxtbKytrOytrS0trW1tra2tre3t7i4uLq6ury8vL29vr6+v7+/wcDAwsHBw8LCxMPDxMTExcTExsXFx8XFx8bGyMfHyMfHycjIycnJysnJy8rKy8vLzMzMzc7Ozs/P0NHR0dTU1NfX19nZ2dvb297e3uDg4OLi4uPj5OXl5ufn6Ojo6erq6uvr6+zs7Ozs7Ozt7e7u7u/v7+/v8PHx8fLy8vPz8/T09PX19fb29vf3+Pn5+fr6+vv7+/z8/P39/f39/f7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/jLNMgj+AP8JFGgKyRVYAxMqVIjkl60rCyMm9PCO3YhH4sRJXGjBnz8LGDVuTNjx4yNrb2CMHFjy3480sIDRWvmvpSpTSYT8uCJK0saWA9dlS/HjByGJQP+l8GgB3bYUjkSS9DgwhcClHzNKFVhyhEAcC7UK5MbV4zaB5QT24qoVlZIReriV9CeQ7j+7FrQq6VVOj4e5dQPX1GpkmMdfNzza5ah1lItuHiFTjZg34z80R9jZnayQHYhZoAXCoTN5ccJsLbapHthmFOeFqtC0mz0QWglqphUWMYavd8JNP8rlFuiJTt3cgmREM/2ukYdpxxeOKqEn2bRflYTc8RY9ojpMR3oPMOkD7fjrhYrTK6ap/nVAACH5BAEIAP8ALHoArgAUABgApwUGDAgJEQsMFw0PHA8QHhARIRASIhETJBETJRETJRETJRETJRETJRETJRIUJRIUJRIUJRIUJRIUJRIUJRIUJhIUJhIUJhIUJhIUJhIUJhIUJhMVJxQWJxUXKBUYKBcaKRkcKxodLBweLR0gLh4hLx8hLyAiMCEjMCUlMisnMzAoMzUqMzgsNTwuNz0wOj0yPj00QT43Qz44Rj46SD48Sz4+Tz4+Tz8/UEA/UUA/UUFAUkNBU0VDVUZFVklIWEpLWEpLWEpLWUpLWUpLWUpLWUtMWUtMWktMWkxNWkxNW01OXE5PXE5PXU9QXlBRXlBRX1FSX1FSX1JTYFJTYFJTYVNUYVNUYVNUYVRVYlRVYlRVYlRVYlRVYlRVYlRVYlRVYlVWYlVWYlVWYlVWYlVWYlVWYlVWY1VXYlZYYldZYlhaYlhbYllcYlldYlpdYlteY11fZl9faWJgbGRhbmVhcGhic2tkdG9mdXFmdXRodndpeHlqeXttfHxwf35wgn9whIFwhn5winxxj3hwlXVymnJzoHB0onB1pG91pG91pXB1pXF2pnR2pnd2pnt2p4B3p4Z4p415qJR6qJV8qJZ+qJeAqJiFqZqKqZyPqZ2UqZ+YqqGcq6Kfq6Cirp+kspmmt5Wou5Cpv42pwoyrxYyuyIyvyoyxy42yy4+zy5K0y5W1yZm2x562xKW4wK65u7G4ubO4t7O4uLO4urS4u7S3vLS3vbS2vbW2vrW2v7W1v7W1wLW0wLa0wLa1wLa1wLa1wLa1wLa1wLe2wLe2wLe2wLi3wLm5wLy8wr+/xMHBxsPEyMbHy8vLz8/P09LS1tbW2dra3d/f4eLi4+Tk4+Xl4+Xm4uXm3+bn2+bn1uflzOfjxOjgu+netends+ncsOrbr+rarurarurarurbr+rcseretuvgvOvjwevlx+vozezr1Ozs3O7u5u3u6+3t7O7u7e/v7u/v7/Hx8PLy8vX19vn5+fz8/f7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/jLNMgj8AP8JFNjJiJlX794NXMhQoJFkt8wkbEjxHwd79T5UQyepIkMK/vxReIfO48eQFCRpM7kQpMgbcATB4vUOnEeXFDx10pHDhokUicCVaojzn0h601LYsMGn1LqTIo2aMEqBXrUULlJBpSC1q8iJLUN+MCrD60iF/6r9e+dSrT95RpFRTdhJyYc/1VzeTKgEmbw/HfRWPPtDWchkMULufccphbuQ7owu/jdHSD3FHut1gAVL4J0+mCsmrabWM6fQDT3RqVdvYDMQ0FAv7LFMn76FmmzIk/2PE2h/DQPBaBbanqAOz3j3BvFn2bNkmXL0eQy8Ij1NQmg0CUS8usCAACH5BAEHAP8ALHoArgASABkApwAAAAEBAQICAgMDAwUFBgYHCQgIDAoKDgsMEg0OFQ4PGA8RHBARHhESIBITIhIUIxIUJBIUJBMVJRMVJRQWJhQWJhUXJhUXJhYYJxYYJxYYKBYZKBcZKBcZKBcZKBcaKBgbKBkcKhodKhweLB4gLSAiLiIjLyMlLyUmMCcoMCkpMCorMCwsMy0tMy4uNDAwNjMzOzY2QTg4RTk6Rzs7Sjw8Sz09TD4+Tj4+Tj8/Tz8/UEA/UEBAUUFAUUJBUkRDVEZGVUhJV0lKV0pLWEpLWEpLWEtMWUtMWUtMWUxMWkxNWk1OW01OXE5PXE9QXU9QXlBRXlFSX1FSX1JTYFJTYFJTYFNUYVNUYVNUYVRVYVRVYlRVYlRVYlVVYlVWYlVWYlVWYlVWYlVWYlVWYlZYYldZYlhaYllbYllcYlpdYlteY1tfY1xgY11hZGBhZ2JiamVjbWdkcGplc21mdm9oeHFoenNqfXVsfXZtfXhvfXhwfXlzfXp1fnt3fnx4fn16f318gHt9gnl9hXZ+inB+kGt/l2V/nmF/oF9/ol1/pFx/plt+qFt/q11/rGGAqmaCqG2DpnSFpH6GoIeJm5CMl52SlKmWj7ObjLufir+iisGmjMOqjsOrkcOsk8KslcGtl7+tmr2tnbmsobSsp7CsrKyrrqipr6qrsaussayts66utK+wtbCwtrGxt7Kyt7KyuLOzuLOzuLOzubS0ubS0urS0urW1u7W1u7W1u7a2vLa3vba4vra5vra6v7a6v7a7wLa7wLe8wLm+wbrAwrzBwr3Dw8DFxMLIxsXMx8jRyc3WzNHaztTe0dji09zn1d3n2N3n2t7n3N7m3t/l4N/l4d/k4t/k4+Dj5ODj5eDj5uHj5+Hj6OLj6OLj6OPk6eTk6eXl6ebl6ubm6ufm6ujn6uno6+rq6+zs7O3t7e3t7e7u7u7u7u/v7/Dw8PHx8fLy8/Pz9PT09PX19fX19vb29vb29vb29/f39/f39/f3+Pf3+Pj4+Pr6+/v7+/n5+jLNMgjaAP8JFLiu4LqBCBMKNIUkDCuFEP8hMZYrzMGICCv08/eBHMaPIBNSckYp2raQ/3S0sTPs0osXjD6eMuWDR45JmRZ1AgkBn7YLOXL4QfkPQjxxKiJCEFgi4sWBHwTKYDqwILmCA8UJdCeQ2EBTSz4I8hhyCTF3gi4sBSnkWL9/xmKEDNSi3NtyH/stFUTEX0h/GgT64fP2ozYXA+uYKhzxVJyBykI0Y5ywH5BjCCvlcEf5X79+lfgoHARD2efT/SZdYAbRVAhBx5gZo8SjzzmM9ioRsfFEkDKEAQEAIfkEATMA/wAsegCvABIAHACnAAAAAQEBAgICAwMDBAQEBQUFBgYGBwcHCAgICQkJCgoLCwwODQ0QDg4SDw8UDxAWEBEZERIbEhMdEhMdEhQeExQeFBUdFRYcFhYcFhcdFxgdGBkdGhodGxseHR0eHx8fICAgISEhIiIiIyMjJCQkJSUlJiYmJycnKCgoKSkpKioqKysrLCwsNS0uOS8wNzAyMDE0MTI2MjM3MjM4MzQ5NDU6NDU6NTY7Njc7Nzg8ODk8OTo8Ojs9PDw+Pj5APz9BP0BCQEFDQUJDQkNERERERUVFRkdISEhLSUlNSkpPSktRS0xSTExTTE1TTU1UTU5UTk9UT1BUUFFUUVJUUlNVVFRWVFVXV1dXWFhYWVlZWlpaW1tbXFxcXl5fYGBhYWJkY2NmZGVoZmZqZ2draGhsaWluaWpvampwa2twa2xxbW1zbm51b3B2cXJ4cnN6c3R8dHZ9dXd+dnh/d3mAeHqBeXuCenyEfH2FfX+Gf4CIgYKJgoOKg4WMhIaNhYaOhYeOhoePhoiPh4iQh4mQiImRiIqRiIqSiYuSiYuTioyTi42UjI6VjY+Wh5CbhpGdi46fko2ek5CelZael5ifmJmhmpujnJ2knp+mnp+mnp+mn6Cnn6Cnn6Cnn6Cnn6CnoKGooaKpoaKpoqOpoqOqo6Sqo6SrpKWrpKWspaaspqatpqeup6ivqKmwqaqwq6uxrK2yrq6zr7C0sLG1srK3tLS5tba6t7e8ubm+u7vAvb7Dv7/EwMHGwcHGwcHGwcLHwsLHw8PIw8PIxMTJxMTJxcXKxcXKxsbLxsfLx8fMyMjMyMnNycnOysrOysvPy8zQzM3Qzc7Rzs/Sz9DT0NHU0NHU0dLV0tLV0tPW09PW09TW1NTX1NXX1dXY1dXY1tfZ2Nja19rc2trc29vd3Nze3N3f3d3g39/h4ODi4eHj4uLk4+Pl5OTm5eXn5+fp6enq6+vs7Ozt7e3u7+/v8PDx8vLz9fX2+fn5+/v7/Pz9/v7+/v7+/v7+/v7+/v7+/v7+Ms0yCP4A/wkUGK9gvIEIExI0qLDhP4MFHSYERyiiRISPcliJdRFhEF62rEAiByneK4kV8NnbkIbksFfxhjm6yIYkORcwDkH6JhGiT4lexOjyNQyiQwquUokZAgTQsKIEE1IQSKGeOhhAgPD5SVWgCKr12qng+m/qv69nB/o0u0FgDq8DZ82KJddsO4H0BOoaSMrJBjnpzDr0R2GKLnp0MghuSPjJMH/+eNm4SBgWDHeQ3VGeikiJPcj+Bq8UWOfNP9AJQV8dyGbUadCwIbsSM1BaB56xIQtUggxhJSB5G1oynVBPjGkJ8QnKwK3hqA50knnjJWmInHcS601S4iPKHWkIAwECACH5BAEOAP8ALFIAlgDJACkApwAAAAEBAQICAgMDAwQEBAUFBQYGBgcHBwgICAkJCQoKCgsLCwwMDA0NDQ4ODhAQEBISEhQUFBYWFhgYGBoaGhsbGx0dHR4eHh8fHyAgICEhISEhISIiIiMjIyMjIyQkJCQkJCQkJCUlJSUlJSUlJSUlJSYmJiYmJiYmJiYmJicnJycnJycnJycnJygoKCgoKCkpKSoqKioqKisrKywsLC0tLS8vLzAwMDExMTMzMzU1NTc3Nzk5OTs7O0E8QUU8RUk7SUw7TE86T1E6UVM6U1U6VVY6Vlc7V1s9WmFCWmZHXWtJYG5QX3BTXnRYW3ddV3piUXxoSYBxO4V8KIiBI4uFHpCHIZSJJJmLKJ2NK5+NLaCNL6KMMaSPNaWQOamWP6uaRK2dR6yeSaqgTKmiUqekWKWlYKSmZqWmbKSmdKKogKGriZ6rkJ2rlpyqm5ypnJ2mnJ2knZ2hnZ2fnZ2enZ2enZ2enZ2enZ2enZ2enZ2enp2enp2enpmeoZGepoqfroOiun2oynKv32my7WW082S09WS09WS19WS19WS19WS19WS19WS19WW19Wu173e354u42aO6yrO8wLi8vbq8vby8vby8vby8vby8vby8vby8vby8vby8vby8vby8vby8vby8vby8vby8vby8vby8vb29vL29u729u729ur29ur29ur6+uL+/tr+/tMHBscLCrsPDq8PDqcXFpcbGocfHnsnJmsrKlsrKlcvLlMvLk8nMkcfNkMbOjsXPjMPQi8LQicHRiMHSh8DSh77ThrzThbzUg73Vgb/UfcLUecTTdMfScMfSbcnRasrSZsvSZM3SYM/RXNHQV9HPVNLPU9LQU9PSVtTVWtbWXdfZYNjaYdrbY9rcY9rcY9vcY9vcY9vcY9zcZNzcZNzcZNzcZN3dZeDgaOfnb/DwePX1ffn5gfv7hP39hf39hv7+h/7+if7+jf7+k/7+mf7+oP39p/39rP39s/39uv39wf39xP39x/z8yvz8zfz81Pz81vz81jLNMgj+AP8JHEiwoMGDCBMqLKinocOHECNKnEixosWLGDNq3AhxocePIBXqCUmypMmTKFN+HKmyJUiWLmPKnEnzIMyaNG/i3MmzZ0KdPlMCDUq0aMyhRkMiTcq06cKlTn9GnUrVZtWXV7NOhar1H9euYGd+zTo2rFmhZw2WTcsWa1uBa9/KtSo37ty7cOfaxau3L9+/T/0CHqxWMOHDXpv641dPXrx48ujt8/eTo+XLmDNr3pzU3z137UKLFm2PMuLTVfvBW8e6tWvW7/qhnk1wke3buHPr3s17USBixoILHz68GKTeyJMrx0175qJS0KNLn069enVY2sBp3869u/ZZ1sP+ix9PfVFzmc/Jq7fOKrv399y1tVpPf7358y7T16+vC77/7b/sJ6B19+Gnkn4Djtfefwy6kuCDpRRoIEoIQlgdLQwymIuFA0o4oUkVcljKGiigEIUz34jBDYMprrgdMpK04kQkIqrn4YckhWhhK08AUko0ZGSoXYvcTfNHjfTdiCNIOlqIhY/ZgJOiNWGEgYU0XHjxTBgoimGNGNeEUUUVZYSBwh8zplEiILSUiIKPSEa45ElNOonCFF1aw4Uz04zBjTRgWJGFNF6C6Qw41ZBhpIxuLBEJLUs0GskafsQp55wl1cnhNV5QUyg305gBzjRXlJNNFp9OM6aif8hIKXTrUbjhhCSvxqkkpgppOiCkNCoThqdfgiqqquuoU8UYX4Y6KquMOgqprLRWaiuuOVpaipoo+JCnisqqGtqxX+pZxRdiMHNmmmvSMmutSN5K7UG6QsjKf1V8Cx8s1pLn7rsFxQthL/7V204VW3QhzcHaHZOvvvx+5O+DC74ncBXQQNNFFliEIU0cC4+3b8MCPfzgLPBN/K0651QRxT9NdBzexyCL/CAuEn9rczs+CESCywSCvJDMI7u3nckDu7MPQTxXB3PDQD/Yyi/cET2FaQMlXZ7PuS6n9XKPAOIGMfXCc849VNe29dnJYZ1QQAAh+QQBVQD/ACxTAAYAogK5AKcAAAABAQECAgIDAwMEBAQFBQUGBgYHBwcICAgJCQkKCgoLCwsMDAwNDQ0ODg4PDw8QEBARERISEhQSExYTFBYUFBgVFRcWFhgYGBgZGRkaGhocHBweHh4gICAiIiIlJSUmJiYoKCgpKSktKyswLCwzLCw2LS05LS08Li4+Li5BLi5ELy9HLy9KLy9NLy9OLy9OMDBPMDBPMDBPMDBOMDBNMTFMMTFLMTFKMjJJMzNHMzNFNDRENTVCNzdAODg+Ojo9PT0/Pz9BQUFDQ0NERERFRUVHR0dJSUlKSkpMTExNTU1OTk5PT09QUFBRUVFSUlJTU1NUVFRUVFRVVVVVVVVVVVVWVlZWVlZWVlZXV1dXV1dYWFhaV1pdVl1fVV9iVGJlU2VoUmhtUW1zUHF4TnZ+TXuDS4CJSoWLSYeNSIiOSImPSIqRR4uSR4yTSIyTSI2USY2VSo6WS46XTY6XUZCXVJKXWZWYYJmYZJyYZ56Yap+abJ+dcZ2gdpukfJiog5exjYy5loK/nXzDonjEo3nGpnzIqoHJrou6rJanqqKYqKyLprWBpr15pcV2p8t0qtRzrtx1seB6tOOAt+OIveSTxeWizuWz1+bF3ubS4+TZ5ODe597k6d3s7Nrt7dfs7NDt7NDt7NHt7dnt7d/t7ent7e3t7e3t7e3t7e3t7e3s7e3t7e3t7e3t7e3t7e3t7e3t7e3t7e3t7e3t7e3t7e3t7e3t7e3t7e3t7e3t7e3t7e3t7e3t7e3t7e3t7e3t7e3t7e3t7e3t7e3t7e3t7e3t7e3t7e3t7e3t7e3t7e3t7e3t7e3t7e3t7e3t7e3t7e3t7e3t7e3t7e3t7e3t7e3t7e3t7e3t7e3t7e3t7e3t7e3t7e3t7e3t7e3t7e3t7u3t7e3t7e3t7e3u7u7u7u7u7u7u7u7u7u7u7u7u7u7u7u7u7u7u7u7v7+/x8fH09PT29vb39/f4+Pj5+fn6+vr7+/v7+/v8/Pz8/Pz9/f39/f39/f3+/v7+/v7+/v4yzTII/gD/CRxIsKDBgwgTKlzIsKHDhxAjSpxIsaLFixgzatzIsaPHjyBDihxJsiCWkyVTqlzJsqXLlzBjypxJs6ZNhSdR3tzJs6fPn0CDCh1KtGVOLEWTKl3KtKnTp1CZHo1KtarVq1izal3aJefWr2DDih1LtuxAr2bTql3Ltq3bt3Djyp1Lt67du3jz6t3Lt6/fv4ADCx5MuLDhw4gTK17MuLHjx5AjS55MubLly5gza97MubPnz6BDix5NurTp06hTq17NurXr17Bjy55Nu7bt27hz697Nu7fv38CDCx9OvLjx48iTK1/OvLnz59CjS59Ovbr169iza9/Ovbv37+DD/osfT768+fPo06tfz769+/fw48ufT7++/fv48+vfz7+///8ABijggAQWaOCBCCao4IIMNujggxBGKOGEFFZo4YUYZqjhhhx26OGHIIYo4ogklmjiiSimqOKKLLbo4oswxijjjDTWaOONOOao44489ujjj0AGKeSQRBZp5JFIJqnkkkw26eSTUEYp5ZRUVmnllVhmqeWWXHbp5ZdghinmmGSWaeaZaKap5ppstunmm3DGKeecdNZp55145qnnnnz26eefgAYq6KCEFmrooYgmquiijDbq6KOQRirppJRWaumlmGaq6aacdurpp6CGKuqopJZq6qmopqrqqqy26uqr/rDGKuustNZq66245qrrrrz26uuvwAYr7LDEFmvsscgmq+yyzDbr7LPQRivttNRWa+212Gar7bbcduvtt+Bm68+45JYbbnX9pKvuuuueGx0+8MYr77z4uOucJPjmq++++dqL2jkAByzwwAQXbPDBCCes8MIG+6sXwxBHLPHEFDucF8UYZ6yxxBbjtfHHIId8Tsd3iWzyyRCTbBfKoMhAAgmXgLKHwjITrMkofmCCcsMq03UyzpecA0ojDNcs8CGQ7Ixwzz6fPEglAcv8CR9bkJCIy5jkLPUem/jxsiNeV5LzIS9X0nLZJzM9186DvBzzHp+wcckhMw/yxwldIAI36NeaCN0I0jhj0gYmoAw++NBpqx2X0kIPvvc5SJ9jiBCYIILF44a8/DckgRN9ziCXzIy4yYovbnLhOgf+eOSGVIDPPBrsHfkhmwd+uON+J166WyiTXfbWkCfd+rgV7P2Jy4DsoYkMYmPiu9miey7y7m8xnnAFxFvPMfVtaX8w9v5U4AUYl2Cis/cHc989+gSDX0EiioAxhBB/mM/+wOqzdf/A7hMfDycjEMI//rA/gOVvLQUMWP/84QHiCUQECTygWhIIsAU20B8EiaAEzULBc4BPA+MCAgYzWMANQkYSkcAX+EgxLhNiJiAAIfkEASIA/wAsIwEGANIBtgGn/gIC/gEB/gcH+BET8xcc7Rgj8yAo+iUp+ykr/S0t+zEx+TU0+zc2/Ts7/j9A/UJD/UZH+05O9ldW+V1c+GBf/WRj/mho/mtr/m5u/nFx/nR0/nd3/Hx7+oGA94WF8H6I2FeXvyOqvRGywAnAwhHCwxXDxR3FxyPHyCnIyDHIyDbIyjrKzEDMzEbMz0/P0lTS01fT01vT0GTRvnXOqnzYmHzgh3fnem3pbl3nYEznVkbpQzvuMzDzIB/4CQn4AgPzAwP6Dgr4JBPpOBbWQyLOWDO0akuTeF9xcGRsbWBmdF5SeFg9d1cwZFE/VlFLSUhIQ0NDQEBAPDw8Njg4MTQzKi4uJyguISAmGxgdFhMTDw4NCwkJBgUGAgMCBAQBBRsCCmMDCngEB38EDYMKE4gSGowZHY4dIZAhJpImKZMoLJUrL5cuMpgwN5kxOpo0PJs4Qpo5SZk7Tp1FV6FQX6hbZK9jZ7JnarRqbbVtcbZwcrdydLhzdrp2ebx5fL18gL+AhMGEicGIjr+MkLeMmaqSnpyWm5aUlZKSk4+OkomFi4N+goGCc36IOZiqFay6Bri+Ar6/A7/AFcLEMMTFYcDCg7a4na2up6unrqapvKeru6uvubKzt7y1tc60s9eztdm1uNu4vN28vt++wd/Bw93Ew8vFw8PFw8PEw8LDwrzDx8bHy87Ky9PLzeLNz9/P0N7R09rV0t3b1ODe1+He3uTe3uze4e3h4+nj4+rl2+/o5fLo6vLr7fHt8PLx8ev19OL28tv18dHz78nx7cDu6rvr5Lvm2bDm0anq26Tn4Z/m4Znk4ZHi34Xf3Hvc3IDY55TK96e4/a2u/rO0/bm5/Ly7/b69/sDA/sLC/sTE/sfH/snJ/svL/s/P/tTU/tjY/tvb/t3d/uDg/uLi/uPj/uXl/ufn/unp/urr/e3w/PD1+u759/D49vP49/b4+Pn4+vn6+/n7/Pv8/f39/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+Ms0yCP4A/wkcSLCgwYMIEypcyLChw4cQI0qcSLGixYsYM2rcyLEjx0q52nkcSbKkyZMoU6pcybIlykbuYrqcSbOmzZs4c+rEWSmmu51AgwodSrSoUY2UfB5dyrSp06dQORrJJTOq1atYs2rdmaTSpq1gw4odS7as2bNo06pdy7at27dw48qdS7eu3bt48+rdy7ev37+AAwseTLiw4cOIEytezLix48eQI0ueTLmy5cuYM2vezLmz58+gQ4seTbq06dOoU6tezbq169ewY8ueTbu27du4c+vezbu379/AgwsfTry48ePIkytfzry58+fQo0ufTr269evYs2vfzr279+/gw/6LH0++vPnz6NOrX8++vfv38OPLn0+/vv37+PPr38+/v///AAYo4IAEFmjggQgmqOCCDDbo4IMQRijhhBRWaOGFGGao4YYcdujhhyCGKOKIJJZo4okopqjiiiy26OKLMMYo44w01mjjjTjmqOOOPPbo449ABinkkEQWaeSRSCap5JJMNunkk1BGKeWUVFZp5ZVYZqnlllx26eWXYIYp5phklmnmmWimqeaabLbp5ptw5ujPnAjNaac/A91pp0R60mlQn3nqGeidAvWJ5z+GFgooooIqSmhDex60KKONRjQpQZNmWuml/EX656aJQmTooYMKOiqlpi6a6KmshrqQp/4FacopQ6diuuqtgLraH6yS+hkrr6/u+eigjlKKqrGt5oprqnhGCmyvpNbpq63TQkrnsMUi66ew13J7aLX7SRFFFAuNS25B5o6LbrrssiuQuQVVcci3qqpaiFFTqKsQvAalu267AL+r70BSUEFvs9vW2yi4+vHCMLXUAjtqqLwWcsnBj1J8iVGwPExsqeBOrHBBvDiBsbMKe+rxfQ5HC23EzyaUcbUWn5zwwhsX1bHLn0arK60ou1yyzUQ7qjLPqz2RBSMiDYTPIlFAAUs8ULUcLNLGwiyyo7TcYmfNhVjxRCp6cuJEFIj0knHORO18tbQui7zwnO6sQufQxQY98/7csd1yySJNC5RKErygQnhRlEgSyeKRSFJJ4ow3nkvPcP8qd7dzdv31xb2gggjZjNKSyCW0ILIxt2zj1E41EjzggTn/wOKONRM48PrLuIOsLMJ02z0n3toenLW3isr2d+D/LHJJO/hIgQvikUAiPSSRUDLJ9NJHMrnRl2Mts6Gaz1mzP6t8jnAqiHRsCCKozpm6Te1EMwAAAQiAwAw0gCAA/QJAADv3l7OUoepmp6Ex64CE+llrjkcQJGziJ1N4nkAu8YQoXEETp8ggJ1CRwQ568IMgDKEIRYiK62EPEo5wxAkhUYkRuvCFMOwgJ1LRQeXNqXypyNMmEBELfxwiEf6KgsURokAFJHQwFZyIoRKXmMFMMCAAUAxAAYwwhAJEMQAEwAATtwhDVCRRgyYblqyOhi3XMHAgymOe83ICOcY9IoUnfEQRGrHCRlhPcYyTxPY8cqfwRQuHBEEfLP6xPqNUgwBXFIAEPoDIKAqgAi25EwFXppwzCo5wpzgcTiYRPewVQYXYi0QlTIi9RjQClNPT3kj05EeCAHIgsTBd6d63E3kcowhWjOIBPpCJCNAPigQIgTFWoqdJek85SKjCFaLQC1wwohdPGxcrqLbJTmYvF5SwJvVGqU3tCYMSJ1RlR/rUSoFgAgpXoEIhenEJTvzDbGjjxVDaoQwhCCEE8/6rXwS8sQr58a8AQxACDSiJkT5NUkLxIOU1IfeIxTmOoQ7NhT+yGco9WmRiiOpaWNZBAyHswBirm4Dr/je72nmgHMUgghBqMA8+1qpC2ETlNQWSjBMsQx0EGUYKmvGLgVAUe7Gg5kUpptGspGMaEjDAEYpQDIgEowj3rF0HypERjFYIH6YwpUypt72a3jSnO+2pQH46PUdUwhcXqZU/inqVdERDAFAUQATOEZFghMCRD6BqWhXYoDZK7xGmSNwjGio5mtoUpwPRKU99KonBOvSUhI2oAFXFVqtwAwK/DMABPBCRb0TgigTg7F5n1SCFclUgMSjBMAriVcQKRLFiHf4IDFggDIGsA5wVFZVaKxuVahzgigPIQES28VtHQnK0lYKQacWZ2tUSpLVgXSxBZlvbsXbTolcj6i2yQg0DXHGznfVlFEOL3OQ+aLnbay5rDxvd2AqEuj69rkPkVijePoWjRgAA/+YaEXf4E4oL0CtFrBohWqAXtapd71cTG9aCwNe6oZSFtX621u1aBR/HGEIOoNE6D9BVIu7AxgQWEIIhHKMi5pUQLiixVeYm+LnsZbB0ZUvb+J5QFvLILu/iZt+mCCMHPDjxRoQxhB249yEpjpAvKHHKxhJWjwh27kCgK+MjP/gfgiXsIxpRihxbbm7VqrBV1lGDlXaEHccQAv4OdJtkCLGDyTTAKQtQEIyCqBfGC35tg6dbY4LIwATE+MctuYyPL++NxxaGyjGIoIMjZyQYQB7mhNu8IL9CAsr/mHOdCXLnKcdYzzN+b58H8udAY7gRkZWcWnklZqgA4wYCHck8MpwDoSrkpcoN5/Y0becXezrP/4Ctg0ctkFILBB+4TaUsVh3mHhtl1kPAgZc94osy02DSZXTQgTNN515L2bDAFjafq0tqQNtY2cxGNFR+/FGTCIMIO1gH0EjLoG3zmtO+Brdrg71nGpO72OaGMLopxmpnDyUd0ohAAUDwYZJwlAgGcMBU4UbvBdm72/j+9j+oDGorE/sfxhZ49v6WTfBmJ/ooboVr/STQcI+4Qxq/FIADBKy7mC2oHRff9EA6re/2DvvfIA84lrtJcmyVsdVL0QYEvhuNkoBDvMAULcguhI9KOGKwT941xnee741/mt+h/seVAR7osSpusJB4xLKPVapYGTwo0yguFAeggZJ0AwGJnADM1nOJKExhE+8QSMn8/kCSpKIRNhBGCmBw5HtzXeMcB7vHgR5yRjWjBMmgQSPOynajuf3kRsmGA5judKhjkbN8JU8vnMcLKciTkIvoBS2gsIuRzKIRRQCGOhbf+K1HWcH7Fre/C1L5OV0+GeqwQSNMEQ+jFxz03AOgS4pxV/6xvCQvzycAGv5QDlyfhxNIaIc/nLAKqqHimaxwwus58g4mFwMeu2d8QRz/ezwHv9+iprzQjY95f3yTy85ncj2TQARFEvGQYSEgARDgYSfhDtkwAQYgAtfmfebBQEmQCoHXC09QBVjACYHXETXQCDSAVvHXezpXf792f2E3dkFXdpbXf/5wDJtHC7BydPblD6yABFOwCDT4D/FAQVBwCL3QEsWQAzvQVC0RDPC2DhRYHuAnEuRHNYuwCOxAC1FQexxhCY2AA1/xD6lwAiyQQwSRAiYghgPRAiRghgIxAyUwA2r4hTCghpmWAnLYAm04EBkkAyQwAxmECpWweTR0CgThQQVxCjNkEP7tgAhCqIg5pgqJkAqzRC2XYAh2ggs02D2Xg2FDYAOYaCi8sDOdaCdoJlCheDnGtH7OsXq70HoOkzyG0A69QAUSdBGTgEfSg2klOH++9w8853Xhhn9i93EhZyfHZycUlUcS1nn1BX0IwQnpEw+IsAgsEQw4cIQ0oYQ6IA+pNx7+0Hd/dwvPhAtnMwWFgDwVsW25SBD0x4tdF3nCl3/EF3DECIMTRXSehyn2xQrmcwmIsF2rsAibAAtJII0DIUREZEQZhERcJEI1oGEL2UFe9JCnsAk4IFASCUIRqUHS0T0ZgY68p4snyI6Q93XvGIz6F2jZRlbUk4w2CH2xxAndeP4IDiMPZuMETnAIK+ELNsADymATRJYDx6RtuiYQ6TgQ69iL7giMLFhqKaaSkcCSz4eIitgLjEgQsGAI7qQSi5YDHzgT/vALONADSGghHil/6riLSEmSSimMgJZtQxdh95gnPbYKOsgIrNBOvIAIUeAEl9CVJ9EODXltNDEns6ZmGFKWJuhtwOdz4xaPxBAzTgmVAlgUxVAEOgAMNWEnT8UDaFUh8jAJDZV1RPmRZxmSafmLKzhqc8KUDwNRaSeZ6kYUmlgDXqknoyiYFKJ5NLAMJpAM8EAQRSkQR9mOapma5LaabVmAMsh5LVkUr9ZukWQo2FghvoB7v5AMvfmbA/4RnNxmmsSJmpMXKKwZlLYVgqaAD81JFIuGAy0VnX2ikz0gaRKifO+Hnb4JnKRplGj5nSoYnooyng5RDJRACUUXm0LxDoFZm30yD8JgmBKyCoiHVvapnaNplvrpnSMJnj8nnslJnsemeZbgDlEpFOkADQVgAAzonoICDCEgAg3AATS3IPLAZLPQUhOKnxYqnPuZof25oZQCoA7xC3+oCiMKFOngASonABPQcigxMe8wDUnKADGaILopbxuXnTiamBm3mFW2oXcCpA5hDJvnC5MJFNnwAKSnEhgVDqY3AB2gILW4OLfYVVi6nfmpoxjKpR3npTbXEO2XapLAkm9HE/7SIHcBMAAcQEzAcneJJAFwOpRXep92mqPdqZj2x5j+5pYRkWwjt4xCcaZp2qTPwqaZNQBSdyDbdqOTqqWPp6eS93OaChGR6alBIQwg4EhLmhKa+qTaJ6WPmluRSqH/wJ3DyaOYmn99+hCzmlHMeBOLVgQKmKInQWnvoA0TUAAh8AwWB6mqWqGsioI916WKQl3J6hDLinQ6AQ8JqqaUNhAM6qAJkqp16q0gaakpiKlzQq4FyBDnOqjTlwM6EJIl0YQFAQxFwAPCaiDX41iFFaxZWq9beqniyij66qEMUQlOdouC2qw1sWg3oKgVNxAc1QNCdiDxgHtoGJLdOqx3Wv6pEXuvE5uvtFWuENECN7B8csmxM8EO66qr20gQwaBh7OGNgDcQmlBBicAOEKF5xwADJKCy88qylFqsrip8MisMNLu0Y0qrOlGEjQay7ToQBssDfmkeq4cLrCgQAomKDtEOuOcLegi1kkqvpWmv4boITjADe2YnLuAEV7AFSJBoRiAFWaAFVGAIWAgRIZAEV9AFSPA86GoxUaAFWIAEg4QIWtAFmtsFVPAV7NB3WXAFiYCTF7FoNgC2YWtbNNADM6AeT/gPUfgPiIAET/AEqmBrCxGCIBW3rBW1xLqjXIq3ertYdwICR3AIUhC4AyECl8AKsIAIVWAIzRARIbAISP5gBUkQC8w6EIWQL4kAC6ugCs/TDrhQvgLpBLTwD4UgBYtwl1BQBRfBs0PQuj77swURtDmgHhaIgf+ABOq3Ck+QuP9AQRaEQRqECodXBJtwCi0wAoHYQWzohh70hWH4QWT4wBmEhhh8ChFMQ+AXBYdwAnH4QSxAh1DgBJiQwW2YkE/gBCGwhx80AyYwAxx0RCsQhpuwgYegQQ+MBFdwCNNmEJzwBImAD7yABEnwPPhwCFZwEV7raKsUqwsxtuZIHq8bu4twCCIRQQ5hnoHHu8/luy1LtRIrvGGFLU6gvAURD5sgBdJbEKrwBFvABVtQx3V8gQPBC0lABZUADEi3CP5TkARSgAVYUAWMkL7/0A6FcAVagAS0sAtI/HqGAL8WYbrsuq8HMbL0ex6qmLb/YDiyR3sNgQuNcAOdCcZTJsZTC7xlnLdnDCtpfHIz8ARcoAWJIMAC0Q638AwhMAOwEAvAjAs6p8dV0Ahkw1aLsAVTcAhIkAUnDMT/oArJNJBAfAjk2Aum8ARYYBHyi5smIcUNgb/6S3jgCE2LAAVT4IENoXyqoJ2oTFOq/K0iGbyuzFO8EsvPdQurkAjkOL0SocdPYEezgMxZkD7R6ARUIJP/QAtIQAWJgAj3gguLgAVdcAVPAAUW8cSimrUJMbZl2x+HZ8qk9rS9O7dSK8+nif5YZmzPPIPPB8EISeACcCzHdGzHW4DHgpcESPCHkJhoi1AFzYsIhuAEVdCP/4ALSEC5avwP7sALnysFlUwEHzuwIesQI9uT/hGn2YNp7+ywqwqxrdrKw/sL4OLSBsEILlwQuszLvgzMsSDMeazTP+VQspAIP/y8eJvQ8rTIi8ALD22VPtzIR/RFMZQKNzAENXCRLpSRih1CmCAERbBFjJ2V5rFtXb2yv5unYv3KA+ECIZAKT5AEnBAL7CADRmAIsAALiWAFiyADEdECxoAKTpAEkAUJjBDQsmAIVyAFhYAEWNDCQIwPiVAF5YgIQAQLmxC+OvgEFeG1mEkSoAjODv5hsDuAu/lh2SQdxiad2Xbriypdz2RNKi5gBZvbBVJgCjLAuFqQBbyNyw0RAlJQ3lRAR2EgBY0gYVOIBZRryHd5CEmABVKQvIO0Ck6gBVrwBJtASw/hsSYR3RytEL6wuiX7HIbSDsh7BbudNh2B3XIrrNz9suHqMLCFyWzmD8DwAi9QZ4NjBV9g0XT0lDURDz07Eg5O4gmBD8FgZtFxM3zJC4XGTk5QxWBmcxxe0h4+xqwMsyLO2S5FJygeDIWwCKuQTVsW0DA+ddG3EdRojSVR4xbLEMAAb+eRMh5T5Np95Kus2fcKCw5jDFBQ03ZcCC2gEsvaPpjz4AqBcArHcP4l8YlVDRG/AAIisAAwCh2YIxCHQDXysAgfTTwVV4sMy9XZncrbjeRq3nNs7g/EkAJt7da98ALjhCdPLhCo0AiNZUqNk4zBoy0ZcaT7Uz8UwKQb4edf/hDxUA0DEFcKMKXJsSh4C8CI0OiHzi0LIQMrEN52Erd6MqF3UoJ6oml60lzLflj+kOkjficVi5yPeSfFeCfIgALL0Hx2cuIpPiebkASGcARPkAmU4+i1nhDX4ACZhQBNx0d+PhLjIAGl+qYUDiuMwAWFYN2rfil24gS4sJrHrifKfifMbifOfifQfifSzvDUbu2vbCfZ7g/jyX/JoCffHu53Qu7BYCebMP4FUBACxfA1eTPsPuM+lDgnlig30WCoblqKnUjrNn8534B3jhQBpug7/sC2uOHrTqAKURDwA3gzeD4TrVXt8lSSSyl0AnF8BfHx1DQnIi8Q534IR+AEcmjnO2bjCBHv817vHPE7g4Tv+h5FbtrvWZPoiYwEP5H0BAsUTZ/2UM+WLjj1mFf14H71Jj7qn7wK/9AMRoAJ0EKAS38Qrh5XsR7qQV8St659u74ic3L3e9qYfib1hd/3BGH1BJH1BNEMLDCWM0F9IuA6so5ieiL0HBEP23CtIRAObk8pPS4QQF7FWnH5FZ/5w7f5e9/5yeD3ID/uTx7lqxB4zrC4Cq6VRP5wumffJ67fESM74cthKPyoBRg+BWlTaGPB+zdV7b4Pj8BfEFT/+X8f8k++CoagzRj+BJrw0Soh40PgzVUl/SiB4/DaHNMCBe/g/wDxT+BAggUNHkSYUOFChgT9+Ut2Ypk6f7AEDkvR7FdBGCyEFZRhgljBZiWSFUSGYlm8hw+BvXgR7NAlQ5f+NWNRrOFOngOD4dChsyfDlkV5DUUqEBiRHUmdPoUaVepUqg6LPkRyZcsVrlfaVQUb9WHEiRUvZtxIsONHgiFHEix5kmDKlUVfxsQEJUuWK1iyHArb8xgRHPjCXn14NLBBXzV6CF0cWfJkykMfGkTyrvLmhGMlUv60+A+jRo4eQYokaRKlyngCXcIMJvASp5s5OR88NqRGYMT+FFOOd0wIjdvFjR9HfinKlE2aB6LKoqo18oYtyYI+S1qt6bao4aqey5rg3dhwbSP3ZWPHscO9by/NQV3+fPpQe0nBxUvK73hOpqyarj6DirqOoNHSGmit094aKK7VVhoPNpLOO64YHXLwBayrkPuliB7WETBEEUf8hxMkvnICQNkKeUJFEv+5qsCBDiyNrYHcSk2ugegK8B/yJoTMuMFs0LAo6tihoQdlXmSySc4uWeSrJFLRrBcndkmxRxGNlDE7BAVSsDsGBXIwPAgH+tG8IG+Lp4YhiKvKSPmAEf4CByfvxDMsE1FUcZFN3MmSoEueiOIKTU45xQUVUkG00RZGYLTRU2YoYYZIEU3lBBYuRTQFEzg9pQUSQKXU0lM4YTRTGEBlIQVQW6hU0lNkIGEGWWcwYQZUJE1lhU1llWGFTBpd5LafgoqzJfqWIiJPZ5916r5d9FMsiSeeyGKKWOQR8KEYShhG2X+6FA2tGhfM8cEe02yQwuKMIWweqdybzxcceigPWn33TUg55m5hpJeBAu3Wn2/DvWzczww0dzsbBcLxOx0F4jHCmIBELrfdxKJXPniOCQJOfkcmGVpvwRWXXBodRldidS3Ol0x3B2IFiSkWoUUgWJBYjgrAnv5Kb715O55ziPhKRjppJk9G2B+BVG44Qe5u9K5B8HYUD00J1TSoHUQO6eVrbp9bBBWoiskBw6ERq69DHsZWOm65qWM65YVnjBrMqSGumsyrKc5aqa3bXfOfWBCh7ZJDfvvHkEUEfmqwG6bqzWn61knSmLk353yzuhOGWjupH/4nYqsn/qdirS/muiBWEEnln0sQuWUgWhIppCBYjoiCCiQaTYUTWRu1YQgbhkc+eeWXR0X45Z+HXlZULBHCCOWbb5S2zrfnfqGWDrZ7IoZF15t00/1GXXXBWSfcoMMTX3ygTRZhBapfbthBc47ZFnCpIroHYAAt8z1wFSR0X/pHmP6oNqab/C11gfPR4GRWOK+BTWwCiQciFuEcpxijCDgAEVQ2RKJf5OBDAkRhCgdUlIMZ8G5eOpeY0mWmdUmwNoX7xypsxghWzOYfsFgEJqIypP0ljETsUEYPZqBCJqbQSC0kyAFjuMAZYu1M64vZDYsjDzeJzClyYhKd7NREMnIvGOKC4kCkyDIZuoyGMMOYsXCwAxzyBIxhJEKzyrhHpT2EBSg4Y8LS+LQXlot8Cdxb6frWwPRBkF0TfBdhtLQTor3IXj0ABh81STI/AhKNBYxiIVc2upad7mWryyJO6hiZwWxsgPxr0jtAtsRN1tJk/vhjIC03SIWJD2+HVCDfGP5YJivWkH2Q3Ew6ohGBAnwAHUip3J3icQ0RFGAD5LBlNu/USV0KhJdrJGUbTflGVMaRMunwgAACEAABVOCZPYlmk6Y5gHUKIAHY1GY+R8TNTw7Dhb6EIRup6MZiwrF1lLGGAwCwzgAkIBqvHCGTyiGBha5zABzQZ0br05Jc9vOf6hgfAoOpyGE6UH0RPKYWKxMNAjA0AAPwADzjyaRwJMClAoiARnVKN34KEpRqFGXeEGm+RRITcFdEaSpnFpmEVrShD7VjJUk0UadedKdXvU1RclmQbwYVmIk8HyNPiUVzTgad6mSnO6NqxDzNc6EAuCdW5TqZq2yVIF0FqCFFCv7WoprUkTZUJWeOEYICQCAa76zOHdvKjQkUIASrnOv2YAnLyfzCSHYdCF5B+su9ErWkjUTqI1VqFTBStiE0IIIrKanYZwUnZJFVoT/81RyBbCIKUnjCtjYDA8smDLPe/Ckh8zrK8pUSfWNNalldE1FxDYUdNiACe9bK1n0Bw2iwTeF98rMfgdDCHf4oxOPoqo4U8FZcv/2HZkM6RWFW8ajGVGrhJsvahaAtB1nsTERH5jbDYDeAe/oHwR4CpV5YbjH+IK95fQtIrga3l5sNaDgHOs6ClvOgA1GWEU27EMn113tShVZjHuPfzfUGSu3wx5Q4iIsowEIeBg7MKTL1K/5ECcRTsSOIqHA8kFLt+B+q8vE/WhVkWNHyRrUqCK50RZBebQokwiLWJaTa3JbQpCW4oEVLUFuDynXZy1/uDS9gAWYyl/kqrqVBUdyxipYwjsQlO5E/CMaLJ3DiHdTVUIJ7azn0qpez7CWpex8YWsAudb4wwnNCnhvd1W5YX9Y92pu3Jy1qPaQXT2hOoqnyED2fl8F3dTA4iyvO45KTrBdeLph7Yl/8HqTLSOuQHiW9vdkCrBeLuIIUoiDeA3O6vHsWSJ9D7dXOGlespk4uqhfTYaK8umQibvWsZ92STi84i36O8KgnXOoKn7p9lNlyYkGsr4+9VtrnTjWCf10QYf77M5TDFepIw2rUQcNXuYFZtHQVQt+kQRrd54ZHUfTM7k9ndtjw/qpnBX1S0QbWIDW7Wc50xogoJOEUPGH1h5s7t1j/279jMUEyAn6ZgROk3R9dr0DbS9D3GvTbBKlg2A7BrV3UxMM7YfYKHa00aHsctiAXecJKPpCTvxvCegX0vP1K6JQ6nCDvk138UHEEJzwBEbjgSbh1rt/NldvIPscq0EcukKEHu+DAdTdQEV5sUh+728l+Oc1gJzva/WMTTrjELRZhCILsrne/wxSqcKCb6BXe8NJz3uEVDz1NCKEIiMIeorQHdm2KXejrNvnZ03vwoxN3qMamN8MLXTioK/7uKKlYhCr+cYhE7ORYOJxp536RR8rL1fKWK7uQNY9tpKs80Cyvt8uRCfOvyZxbtEDEJXjxtZ3A6wZwIy3XN3dJBNY+n9YJ+dj/kfuiq73z8ebrZ5Hb8KXmcIc9pA0nnCAFnOE8ta6OPedkGYSvW7/y2A867jFP9N1zPuUSXjkKazkLi7uwiIUu2jrp4xwxsj99ipHsIwju67+0E67vSzjQWzp7U7aqSAWgWBMF7J7Zk7UGrCVdcppkgMCBkMBr878/8z2lAy0NLECwwIQP+goM47fu8QUTCiESLKOHoJVuGpcUJLv9MzsWpMAH+z9tC0BuG0BvG77AqAEiIBJEA/5BybgEJyiWg+gF5cgCKzAbgbiFrNgCLEiC0OiJXiiEKNCCLKiBINC3gbmFJMiCLaAC2vCaKtACLYgC7cEHXkgCLNiCKsgdgWgHJMgCLXACrPPBffKHIEwZItw+I9Q9JEQ5FwTA3xPA4CPAKAQLXLiBN7HCK4yMLNxCg+CFS0iERQDDgUhFVIiFVPAPN2MINVyERMCCTRAC1fqHXZCCKXACVYgFVLCId9gEToCFndECi3CHJABDWjiELdiEf4iHJLiCVFiFKZCCRnRESAQdSVzBBktCUfu8tgu9v2q68psKWsiB/BnFHCxFLVyIU2hFg4gHVLgC1UOKe8SCVCCC//4hCFywgingIC7EgtxphypovX94Byooll3YApv4oS7gxi15RBIQQhQUuQikxO6rwCUsx21zuyeEO0+sCnjBgQyJv8owxXmsR4LAB1pAAu4iCF5IhC3AyZzcimnEIFToRw9hh4A0w0CkAkTQknYohGX8h2bEj3jgBC04BXngBC9QDHzAgoosmIvMSHDsyAm8xGwLySYcSU6EwtEKCyJytttoSYWgxzAUiOXbAi6QAjQcCHnghVjAy7yMBVoIyp7EglXInIDcAi1AAlUoBCxYyHgwhS3wAiyYPCvpAi+IyH+Qh0vYgoHAByrASvooCm+0HI2EB47kLYKzRKMDSXnrq/4YFD6zBIspTLO0fBJ5ZMuXpEwxu7snoMWG4EdYCIYgUC1csMPWaIdFqIKBaAdYUIWsKMZEqIJNWAVE0IJUqMzLFIjM3EykmC3nwIdFiAIogIVJQoir8Myn4crRzLzS9L7TDL+FQ8f4Wox1UI9jgM3YPEWEaEuEgIUpKERXvEmdxMkr4Elq9ElY+IUhAEiBwIUscAKBeIdLyIKC/Ad2gAIk6EUt0J53sBappMrqvMrr5AntohaBSIUk6AVUSILcXK5g2TOnCUIDKk8E8kglxEQm1EQnJMuSZE2qgIYCMAAPQAdNK461TIj7PAhYoAK+Iwi71Mu85MuB2E1fCAERSP4ADRiHf8AFLKACbhnO4iwICU0CfADOC7WWXtwCIZpID+UJAAuURbiEdsAH/MivGEiBYFCHOq3TGBgBYbDTOl0GE1iGX9hTYEiBmNhTdViBExiGQn0BEiCGQl0Gr6LTPX2BFWjUPY0BE0CGQi0JZShUZUABZihUYXCBF0jUPXU6sEArAbgAxJoPIS2IeNiFVSiEKygEWMAFeYCFRFiFWFC/KoiFoYgHXJDVLMCETECrLmCCcdgFKsgCRoCFS7gCRPiH4TwFWtChLYiddpACKoDFpOS7arzGbJwCNN2JE/sHFfsHJKCtKWBE+DuBEYDXeJXXeaXXerXXe53XZhiGYP44hmIIBmYwAXwV2IEl2HhdAch6CgB4EVetyUPogoftgixYBFzVi604Q6TohUSA2MhkKC/Qgg0IME6ggkE0yn/ohUDkAix4AhyLyUAk2f46RC3YgkUk14ZQ0z5p0zdtV9khFENBlBlwgRkQ2qENlqE12hUw2qFdgRhI2hlogaBN2hhogaaVgRKw16lN2qdtWhfAWqOVga412haQgabV2qbVhEupT/sjB5tiKAGAgJqdD0qjyRHthVM40fzyh1VAMSCdDHUgBmIQBn7112AAhtCEW+Q4hwmoKpA9XOqotYDZziiIAlYAz1TT241rXOpoB8v0zyjY2cmIh2wYgIUSAP4EqNLM1ZeWuFy+Rd3KwIdeWNJYuIXKXYx46IYKmNLTbd3d5d3e9d3fBd7gFd7hJd7iNd7jRd7kVd7lZd7mdd7nhd7old7ppd7qtd7rxd7s1d7t5d7u9d7vBd/wFd/xJd/yNd/zRd/0Vd/1Zd/2dd/3hd/4ld/5pd/6td/7xd/81d/95d/+9d//BeCR6UIKhb/S2rl9c7T5khN6GbcA3l3MxUEDPuDwrKRosmD3aGAHRl0ILggOhsetG8UOTpgMu4wLZhsO1uCC0MYoKAjJlVyBcOEX3okYZmEYjuF/oOHb0jXJ5VIS9uGVJJEpkOGEcGGDoOEWzuEkruEiJohttf4cBuYfKE7hhYAFXoCxEH7HK6bgEdoQxKCFW2iJ3DESzO0yiWySMdNiEYaxDTOzVCsIXnCCJ47iOTbgKVaIKtbijftgN9ZjtmqJLw7jEGauLpatO0FjjYs+FN5iOb5iOGbkBaZjKkvj1sUWRrjB6uRO76RdJsFjnYvg+bTCUI7gTwbkhygEKSsEK1jZq1C/KECEAiNhMyaReJgGC/hRRC5gNVY1UXbFOE43cYFiLp5k1L0Fcx2IEeUFE0XREAkaHTiG4+SFZn5mXsbiRS5hPx7hoihl8JKyEp0717idS0A+m4jlJvGGCDiAaBhmN87lRPayan5LXw7lHx5jDGbdxv41ZoFgUzeF0ybxBR3wASAAgiC4AUtIhR0I6IGugb11mjJLQGxu6KvY5lN+iOdMhaJIBUQYM0OQVsSQZep4h2nQgHToxU1YgiVQAiU4aQrImXiwBgx4JjO7Z11WMzZzGkcm5BO2Z1LM3HxO1z/5B3YdiEEplEORvF1ZvKSWHhwIAoF26qd2ah6ggUygaqoGFaUuPFQhloGw6KLYBESIBX9gveXyO98BnsTD6sXLBAhYgDmIAzhYAzWQ67leAzeIAzlYAgLQgLTG6sg7lTiWYGCOZEVGXZ/eZ51lZvXIgWPAn4R26h8wgiGAaiDogSIoAAI4AiJw5kvmjT8GY7ayaP4m0+jGkdYRcYcdXYI4YAM2iIM4mAOVXoAFQGm3Vm3WXoICeABXsAW6UjP09WlktttlLg5fQOinDoIeaGqn3gFMsIEeeGrkBgIfcGzf7Mv28OyNC+2BOBxxTr4R6YVOkAM4sG0mYIIwYINNoIAOyIQL2IA/EAMwYILUZgO7RgM22O3I4OnuRYIquIIo6AVcgFzunNxNvo3mfmoe6NfiHuhjWIVZAGiB9s11MAUFF+j12IYL7wZWfQov/myCyIsroIJC6ML0cwJXFm7OeAdp2IBVmAM4aIM4WAIAEAAC6AA6WANRIAhd6IMzIIQIAIABYII4cAM3mANOCF1bppzKWf4zOw6MeNABqBaCAnipzC6Caf6H9PhHK7+B5BboKHcpH/2iDH4WbpCAIH9xPpgGCvAAargADuCDG8/xPlAD9PYAa7iADLiEOHjxRJgAAoipIkKMNVtnJh+KXMABx65wY7jwaDgAKiUIa1CADBCHgXAM46aBC5eGBuiAc0gKIIaW0xaAApADN4CDJWCCN6iFHH9zHB8IHVeDUCgId+iEF28DJigAAACABrjvTu8yQSd0qcCHY9gBINCBHkhoOLzBasjdR4/0SReIf0b0ILABXwgHCNh0Xu+yL9aXXhAEMSgDPY8D8g4DN2gFVYfzVpdzWCeIXQAEMSADIQ/38l6DXf6HqEBns193iqAx9ghPjyHY7IFQdkcfCEiXdILA8ugSdh/YARzQ7GOo7unqDUCGFl4QhBd3AyYYAAOocTYYBXNndYFwdXUfiF3wAzMghDJ3cTr4AzVIdWhSLH/wdXwfCuJ2bCv/BgbwAJIG+GUf+GYviGtggAsIhys/dKembpnyMol/llegAziIA0XwgGm4gA/QA473+Dh/9YIgeTTYhAnoAE0Ad5ZHeq6D+XuX+Z4wcOVW9G2IhgTIeYIIeN39B4J39oEAeqEXiEpX7mO48G3IcASOJ39Q+jyBhaaXA1m2harv+FZfdawXeYHYelAQCHl4BTlogzl4/GYzrbIf9P6zL4gcQHQvZ6gOMAe453mBoPufD/qh/4ctf2rRXycwL+COEXwwdhZWmAO7xoOWF4jEt3rGP3eQT3et9wM0kHzbsfw5oEtr3vyY93yGmAUegOr8uXAPOIANKAfTF3jU93mCuHvW1/sK5/ttkAYH4ABOT0B4rv3Opw93UIXcnwM6kAPe/wffX3yQb3x0z/p1L/7jFwh3AAhPcdzMyVQB3b+EChP6a+jwYcOF//y5W+VPIsaMGjdy7OjxI8iQIkeSLGnyJMpcO3wEAeIyyLF2Cakl2FBuYbUEGsYttKYggziJ1xhcCJfQFw4fLoH0OCbvX7gIHM5hhMjQ4UJ/tG5dRP7p9SOrOW7olAokp9ZCW3rYjFqoi88aUW77qAklcZcfNKAWuutERiwTAh40QizcVSFFi18XM27s+DHkyCh9rbQBzMYQHTEV0rSJUydPhT6BCiVq9GgNIkRw9ODhNOpUxIVlR0S89bDkk70+LFACh0kBAUzOpl3bVuHbuHPr3s27V2FfMAWYuGECAAADWxINW81aEXfu8OLHky//lV1lX/+8KYiWbmHnmwpz7uz5M+jCoUUXYmtgAdwxrR0DG1UTGUYbblpxZZ5IvQhSRhy/FTBAE2G80UpxbLkFl1zI0WXXQnjptRAvgYgBBhPUpRhGGtoheNhD233HII012nijY/6+2LBDD0DcoN567b3HWU3yJURfaAmNhp9C+p2WUH//4VNDazkQoRk7BnLXHUO34cgRL4LA8dsCAhzgAR1uHJeQWhoix+FyICok4nMJ7fKHGYREMF0bcwCCBloIZoWVd4p9eSiiiX5J2VI+HONOQuy5B1+Rn9Un2n2l7adQlOD8g48NPb5kAztbzmbbgooudMsgccShiAfSXNABHmpmuOY/yXWYkC4fNjfinH+cwckEHlATRxtxAPrioLUhNqOq0Uo7LWOhLgWEDsZss000CExKpGfzgWYfafmZxp9/nv5D5bU7HLPtNt2gY2pWXkoLTyeuXpJWrbi2iauucf5a5/4/d57xnDyuxMHGHLVw1yx4iYFHLcUVW4wRDi0tJUQBAXgcgAcFzlSpuJcqmam5m0KZbkI2aOySECJ8HEAH88JIaJepRktKhIMEyma/t26onIfMhehciMLW2U6+cRDysKCFTnwx1VWresPL2Gq7jQcHcGAOpeEeOS6m5TZ5Lqcs/xNgu+9uI80DG5yTIM4T2atqWHCgQZxCtgTdt3FD75qrr0cDa6fSC+FiBxxzwHJg1M8aajXllePYzg7XwgTpP9Mg8HXYRv6DJLlMJuQkuv8dldRSpDpbVd0KTo0jLHXAQUcefANtK+Bu8gpn0XLaiXSwB/PlSRtjQX7V6xNBa/459NGLhw/WN+CQ2aMKeQ46uKKTXrbp/6CetuqoESFEEDuwMjvzCd59qDvRLBHHHJwAovs/fvPOZuBvEs1r4eZEPMQZTyJjkIMbFHGQGEWOIc+THgQVdYkoTGET70gIL5xAwU1wDjJU2sEvvJGAbyVke2DrnqWS9I8laepJ/+gUYrLhgApk7EccYWDOJsYKJExhEbRISDsKAQUpMOKHkNEGBfTFi/v9LH9/45/vcgU8ABpNgIcrWOIkgoamFcADONRSxB4YwTHeqBdSwAUvpMCLhBhiEb2gBRR2EZlY8KAHwcCHCEnYuc+dcGRiGx3ZTma206FtZeVriAwrIIyM1f4gHhv5ouwk0g5EHKIXlHyKKhKRCl5Q0jG7EUAB5PAbAUjgDvjTn7/697v/Ea6Kw7uiwQj2D0+AYQAFiAMTBACABdiCbs2TGBmDeSNOIKEd/nDCKhyJCkb0ghVOWONj3rGS7OVxSCXkY+hSWLoWpk5diJzhN4SxA9eIQwIZgeT7/hELRHDCH5c4xBppcYhN4AIRhWhMLwAhhjIwQUIVEsOF+LW//KlSiqzslSsLNkAsFjAhDjpRitqwIjS4qH0ympwwM0qeSyxCJklIxQV78YQqYIETF3xM9YBUzYWYMJslUyELU+ZCGBookd/wB5V0AAsJyG07sUsnK/6Rin9cAv4Rt/hHOwxBhSsg4aiMudMb9uCqBZzJE3N4AykEmsooBix4A0taQ/2xxDIMQgIDYEIblhCIM8ACYhdln0bj2hhiygSZjlzEIthBiyjI0TGVaM2+EpIJA3BgqAr5gAEosImFIHYCiz2sASSgiYUYIrKTpSwCJLuQQiQgAplIyClOkQkFePYUqNCBD3DwAMdKJLShXcgpOJGKU0gkFv/gBFHhKdRFoIIXiUDEXOlwBlEm4gMRyAAn5qAGQiwkuWlgrkKSi4ZBNHcOZ6BudIWL3eyaYbu3rQNZQRtb8CYCAhUohKvAG1jxvha2qOAEbeUq38iYcRdp5MVFFmGIdvSCCv64YIyOdhCEIAjjKZEaoTX3yD0/ei+QK0TZ2VT2QpY5xKYN+QVqhYAlt6IKPJOs5CWFmohVTDIRjdmFICIkiIXU4g5Y1arQ/Dc4hApPobBU2kOWaIZP2KlWcWArhyUH1/kSmSTu3OAtmIkLDU6hEDL5ii940KhjnHQ9CGYpNlH40m3KtJtasvA/kLKUIJCqgZHMyip4yAhWXIITvTDEEJHQVsboIsV0WAWLXZzVvj2RoFydYitrTCewgiLHgNhx3+SwBjnM2aJSKzKkF2Oqup3EZdfKFryicQA9tlTLYzPZgwcpvkJO+D8PsWlCjiHlpfBAGfCK17zqpbMXQW0xof6QQxzWm5AWv5jPA/2X4ARmOILF0tCITog8XqGvIDsQo5F+NrVQe60hdGxmHkCI9rLMYG2Cj5vkA8epwdmyrMVsZgHgALZzSDvG5aGiu9YzjHsHMEDT+KvFK7RDdMxjheAiTXRgtvOcDe2BK8rSS9FBMeDlAQJ0QGQK7uM/4sNtQYZvfIYEd0RQvbZVu6TV8JLGPzQA8TPbSCBtaLdEeL3n3W113gcN4CuJjeN8AwIj7hBIAhsY8CETvOcMYttLqKy9AzQcywuOOMk+DVMIE1LCnaqNxpGiFJfYMCHjmIDIZc1zybBClI1z9z9UHm8ounzGMLexzA+W44zcfAz0m/7zF3fu87l/SR4r0cEQciCMKneO6A7v9La33O0uM+TpCtF4mFNzPtco5OpZ73CN4jc/O/BhDmAXu69bHmyvDpvQQ775X9I6AZv9Uox0Pz15XHaDYmw6wX0veraPLnHBU9zbDXl6VxC/ECpV3fEjTyd5spFEORDiD5ZPObwzH+NVmj2hg763R25+hk+4qotxBybqsz+eKPcAGN1ovUSm4XejQ3z2SudyhE9z+3Sd+h8V+EZGuHGDpuDjH77Xunk+GcrfnPX4ee41yy2fQTWfoA2QP8RS9HlCGNgSLl2HAjjMW2mfBObGDThKO3yfHr3e32kb0v3R99Qe4a2fqVWYuP5lhKrtQDDYH9b93qyFRy/8AUThUgFUiBxgyP+tnBP9WkF1FRUVILA0BAJ2xEOhCBOkwQIwQRiYQRPJ3QQ2YWMIQw+A0D9goOuJH+xdk+wlHSCBWkyl31Xg3jdxBPX0gA24w/1BHnnsQh/IwSDgGhMgQCJclQ0qBOYFoLxtXg/aGxBmkUeQQVmdVRyYkxk0WrNtnRMeIkfYHYE9BRWG3/jFXvlp4QeGWsWdi0PgXkhgmGucobqlYR/EQR44jTRYgAfYQUDd4Nj5WdkJmxXh2x42lEcQiwYoQlp5wiBGICLmIkmoHpA0Iks9IhZGogc6WBc2XTg8hOGJBO8Vwwrin/4nmkEcyAFuhZ0pzuG7AWAOap6MsWLMPUQQioQtDMQc3OKj6aI5doQv3AAP+ED3KYQvDt0VPpxLnd/gpR8yqo1ItMP87YBqHEOWdOJ4oJiK0WE1Ih82opIA8mCgDYw38mFItAMnwEEckKOQnaNFZkSUjdkxONIUgt8vxiPgdWCDcSHTjVpRYAVNjYSqjVmZ2U0L5oZA1kGj1UJBoqLy3eE2cl4rNiQshsQuKFccECITXiRR/oPBuQTCbYumZaAVbmAWDiNJipqToCQ+isRKshoNwMs0PE55lMIc5BqL1SQdJp8dkh0eLuSwNeRJJAz9WONQFqVFSttSUJu1pVsJAf6jPHraFi6dVJpGbaSkSFjLxsjMx2iAXebGO+SLHRjRronlNeIgQuIk83Ej2nmjV+yCHLDBv5UjXFrkUWJLwnGNYBxmU5LfPO4l+k3EVH5bSVxlx2XlNkxDBJhHJ+DaILgbTZ7iWB5knwFbTuZhWjaGO4BCNBIi9nXmOf6CqAABTHCkNJwJaeJlSJofatZjQ0xlVwBmSKTj1PlASzJImEyk/zWmbj5mKvrmZOpkzDkG6LXBZhYicloklfBA3gkDR/7Dc16bI4IkB1LnJHbhdfrlJf5D+ZCEL9TAEPjIL9hIvuDaeFJjeYYdWWZjQtIbzB3gQn1F20XIY71lfB6iPP7UkTFs2pMlRH5GJ38+5UjyJZME6EleYlWShAQYQVPUCC1IFR/0wYPmplvWIYVK5gCyIhBmqFeAXh6MRUV+qDBNUAVVmSY8QRQkwj+ChMvYgDaQ6EKc6H46pTCuKPq56DHC6GKEgBBUHUfsUA8xJiwwQhQkQXx9RF/QzyXoKG46poTypg7+2ctV0ZBekYbaYijEwRskggTMi+kpafSYERqpUULAQhJAUz7WkfdhqUJo6Udy6Wn+J8o4BHY+hgTkQI1yxIdZ0iE8xS4YwiXUn0ioghLEgSCo4Y7aqY9GplnmJCJ0QRV8CESgQhf0ahdIgUL8ga/26hSIxM2FwbBqgf4XPQ8UJMGwZsE/xIMqJGsvLEQ79CoXKEQ8cMGwIup40NU/2NU/IAISPMETqMJ9egTW1MAFUqqJQueWmqZeaippPMRqQgYN8AAOLOhGrBNuvdMaocIROMETIMJ/dcQsZIAALIAM9l+dRuis9uYOAs+t5mpd7OqwAmtCCOsWXIEWdIEWJEFIHOuwesF1GEA7JQQuXEGvboEVcMEV/AMv+KoV9KoWKMS1YmtCvAO3dkEWYEEXeKt4cJRHgdQ/IMEzrcIT9FVCXAKUXoEmuBYnoEIq9EAPXIJoEcAHzJZrfQABWMAmuFZoea1iiS1ilW3XGoBjma1lxdZsVZZkie0pGP5CZkWta3FWabnWaOVtaGXCAvBt3zIABGQCa9zAKWgCBEhA2J7CIiQEKyDCUBXVUW2CE1zCLejXQsDCEUQBFSBBaHECHYjBGUQIcFRIG1iC2F6CohGC3CbXcomtc7Gu1M7BdMGudQ2CaS1CF1yBdrUuHZgBHeDq54IX7mLCE3QBFhAv7NqBH8KuHojBiXhBF3iBcIQBGWDtKWyCz6qCRMzszf5DL4AsEE2Bz3ZBtv7DO/Sq0JYHuIrrIhyCTEzBwaorTMgEBpYofsLrpcpr4NEjxcWIxUGGqumAbWmEv+bWGqXCInDvIZgYR+zCHsgBH8ggHM5BDYYlxE4orari5v5VrK56Y174wa9ihG+BrMhm7rCmMBb8AxkIQid8rBcMQAasGL+lcBbY1sziai987M3iQyx0wRZca7bGw/EO6/muL31JgX0x6j+gQhK8URx9BC20Br/eb5bqLzxi6ryOyym46ZL4QyFMARWkwlAwgRRMgZx1hAQoARYwwvyuB+VG6S0cAhZgwRU4AREMgRVQARZggMweQhVUgeUmwRVMQRUgQi8cwhVcgSHwwiJUgRRAwX45ahVEwZzsQZ84TTSQYh1cMEFmMJ5qY3p68D+EAkTgxT+IsMYmBBhkLEbgAhJgQRZ8QRYs8hVUQeMmBC1sAcgugAVIBC74Ki/77D/IA/4sJKtDAXEvCDH69izIqi8SSwaTbkKS9QI+LAIUTIFJfQTWCF1HRgP+WmoW869IalMXn8IX8wItIAEZM8B/xAMSXALfYQQFcIMhGMIbZ8IhBNVCTIASIMIxRIERpIISKME3FIIhANc/sEMqJAEVVEEiXMIlbEISxBkryMMqJAInwAI7hcgeQMgdGFEtdLI18qhBQqbE6mmHePDF4pAqLwQZOAEWcGvIlsQtsOwXtEEu1/AN/0MwQ2sOPzPI9gIvQwFSmW8zQzM+BG00U0zVSmFCWHGlYvFdpmiXmrMX30dDwHI7F0U7LAInqCpHIPQbI0ESOIETWFBCQEASYEIvMP7CENQABSzBJiTCE1ABMikEJ91TEyMCninE4250EkDynKiuq9IhSWNwj2pwSq/iuOLqB2PES2fEKuyuRBxzCvvqCifETfss/QAz8qosyHKC9yazFoRvZnPBO9QsUy91U0/LL8wfEGxGVLtr/urn/kJipnJxVgPFVrOzfiCBFTjBRS/Cz05BFDgB924WPi+EEiTBKnDCIsRXASgCLFyzDwiBHTNCEixCIkhBIshRPBTCIhQwKvi1QliSG7UDO8TDeglkHjhV2CX2Jy92KFco0bC0KWfEZGNEZces4sTyLNfyIuOyQnQ2FswBG8iB4vjsf/20zIov+IJsOzhBFlx4Fv70aszmcEK49muryi9wXHPWNjhfMW6Ps25vcX2c8xf7A1dfwz94NRIUQrV2BFkvBBLAEy4swmJBgBYcgiPFghH06g/4wBXcUxIgwnVfAiP8dV//dTscwiLIt0R4JVgitieTp32jdJ46tn7jBixEgfn2ahYkwSxAAcheAS97ARWMRBhMwcfabBa0AbKuMC4MM9ASc1Cz9vfiLFKjr6+yLFN/eKJgzaWFZjQQQIlP9YlXtRb3L2qyuFa7OHCbhjwswiX0gnFjAXIrt0TcuEIggpKrAm/9AwQwwWdtHBD8AKsHwftGKS5ggucuxHnjWVIxQgG7A/7+Q77UwSuwGH1r+f5Jn+fE5jdkJxSvpvAU0IITpPAqhwSypvAXpEGdJ4QUOHNPtwMSDOsWTKOfH3E8GDGhww5ERLkULLIUIPJjyKVL0OXHNLo4Ozo5+ydvo7NWUy4WUIEiJAATTIEUpDFHTAASVMFwq4ImKEA9H8ITQMEltMM2LMESUC0h++oPAIEQLNUToAIsOMEVRMET7MslLBXDc8JItenUOoG/72wnzMFtAnuWQ+iWE7tKI0a93Yg80MJEjnuN1IZDVC4v1F8vXIIT7DoYdcWpZIShH1xoesAAwDtVa+C8SyLZ4FeLR0aMbAMETIAiLMIqqBqrd8EPMB6ztM+QQTAd4Gaww/yw3/5krabn49S8zhPlqRw9RoS4RjrnaJo4ij56OW8ZLPACKjiBFnD6ITCteaxDBY7KOtDaRdB9Rpg92r+8SdtkWXKwjInV45xChqfwFjhB3EdaRBAKkBfzIsyzlpy+40tEbNfnfUpD3jP63kc9VPLE3/tDMVr9RWD9BCQEKqzCOqRGERzD4tMG6od+2e/B2bt8ScsqY3e54GC+VtDBF9ixLT9BKXw+pJ3KIiBTwZo+Vny/8XdENyi6OzyE61+b+UMnRDTlQ5jQQ8THQyCJP9R+i3OqgIogxn3T+z2ENjwABXgDQPgTKHAbhAnd/G1KYmgRFgz/IEYc+G9iRX8RMWLctf6Hjq2B/mrVkdPqYy07byiWvPOG1EdbeNyMcqmHjcyBuvisEeWPFyx/uvqoCfXR3y4/aEB93PXnTNKBvACZ+fSxV6AynqgKukr03aeMX8GGFTuWbFmzZ9GmVbuW7EeMjLgUigfW4kWiFyUKdIJLYDcC0dx9lEbAAzrBBwoTnXagw7mP0xBwMPeRWoIN5T5WS6BhnD9YvPxZU5BBHNFrDC6E+4itgQVwH7M5qPDto7YHFLwRLXhQ4KYpThpgwOyvEMS6Ke3iNS7wkiGBGzuWFElyoMk31KuvbDnwZcyZNT/i1MnTJ1ChRI0iVcrUqUCoUqlaxTqwl9b5A7uWeeWebf5///8BDFDAsu6CaBEnVIlCrq8KRG6isfwCTDDCDBtIGsQqHGixxh6LbLKBKrsss806+yy00Ur76LTUVmvttYFim62223L7aDeEFDpkESaEy+iu5NwaCzqPqpuupJOwE6gW7VyCySaBbKHpyZ9y2qmnn4IaSqmj2iuKvY/em4o++bLa6qP8XhlQzTXZbJNNgZCD6JC52kHCHbp+JMpNNznzDCLRSMtoxXAwYs01jGL8BiPbcFvunxv/QWWVf8JRokcfC9RzTzXFs7K8LDNKDxSN2MMoTIyqugpV+zJCc9NXYY1V1llpHcsfzfqE5U8UBUWN0IgMBQdR2RSNiFFvMv6CNKJxJri0Vlk75Qki80IJlUtSmzI1Kq8iStWTVVXFyNVnyS33WTiRc+ISXiDq5RIn2jF3U4FwLXHXQDEatFAXh51tURrd2k2RRVZ55x9wJGACE3lfjTYiaq1FCttRIzq1W/nA/VbcT/Rj2OOP1fzxEkS0uOKKKRDpBR+Q16SXRM9As+YffCPSF1h+I0r0X9x0MygTQ57A4gorsrBgHJbZ7BQjiDW6NqKlsq14W1Qx7pbVjTtGWuutCVTuHyjeAZvrlm992URAxek1tX0PzZnYnWuEczckmrvkH2adHbs/KnVaGtSmJX66VKmlojrcdq+OaFy9Gd/6RySu2MJkk/7jbZwtl3ONmdd8fWVbWLf9NRZgGw1KBIossjBZiyPKsXwtgZR++O+nnYYIaoohsrjdqhE/HKLFXQ9eXnQxQsJg4S8vO9d70+Z87Zvbhkhn0RtN6VGDuvnnEk7ubrZ15M2CvUq/hYoY939u17bwi32vz/d/gAdffsYviWKKTY6HCJUsVJlL74HqpRy0qe1XEAlWv4oFkWMlC3sYwdv3MMIKJExhEbTACC2SgAR2jS0845Nd+QB3vvQRjlu7a1/ifsexNM2PhWPrhRRwwQspbPAf8XDCFFbhP66NiDMYGaDzCviPA4Iugf9YIEaUBZEHZqQdiDhEL5woD4jg4xJSWP4EDR13Ew9Oa3a2qx36Bpe7qbFPY70rYwqz1kI1sowTSIiXE3IIkUsU4glx5NpwMHe0iPywZp2D3uek9zbqIQuJDVyW9zISC0Rw7xKH2OAqCoGERGCRZeDRYt8+WK0QTkx9JfyHtzLWKhWukZQfu8Qi4pWEVBisF07YBRx1qDU8/qNePtxcH59nQJwFMnQKpBEDD+JAREYQEanQHiJuAb9CLHOSWouSJcWHSS6CkHaBs10Y/6G7T/LukyiE3yhLGc5ytfGNcVzEJtwBS4xc4glRuIImTnGKTAzAA6mIZzw/MAAL2POeHyCABTZxT3wSgAIB7acBCirQDxhgAgbFp/4BJABPTtjTEBCFp0ANgYCICrQQCYhAJgSaCQV8NKQLIGlIGQABkN5TExCQgEEXARFFMtKR/0iFIWBxiWZGBBZHiAIVkBBPTswhDpwQ6CXkwAZCHFUOa1iqQIeqhqcKdQ5pmOophoqGQUB1DmfYKiqMygk6eFWgWKWDGbZ6T07UoQxpFSpb3YpVO5AhrpzAAxkCUVZUDIIMlxCqOAErqxfuQoYbTMITnpCFKcRCiiDzR4iGA5Fa7vGWELGZLqP3j+n5snoRSWL38vaPJj4xitpDbBWscIjKgeyZU4rdNDVZTRFiU5ugtNr74hdY3e6pfve7BSN6ERF1OvaxloksLf5JZEuaWdaPmAWkZgXJWUJ61pBKHCZGVjFBRrBiexHRKSU91lrlvPYfTJMtJ0louDO674zfTONu4Rvf8BVXRAD8Rw8pu9x/XFaIu4RuL434y0IG85ChnV9rl7bF8nYRfV8coRjXZ8L1ejO38rXwhVMCWR7qkXkE9BwC4QbM7BUYgiz0B4IfpmDzetGaYIwahD1pWzOK8r0YtnF8BaJhACY3v83DZRCHyMsiHpG6BLaugZEHJSklWJoLpiaLZ/vibI5RwqHE2gpvnOXd5ti46Jpsh4H4YSKGeMAjPnKJ5afkmjBZFOSLLZTRC2P1Wllx4NTyncMJoi5H5Mv/4CNzc/7Z38xuNsCdhchnlzi/74yCzW42X5ynHOFtnhC3dsbzpU2s58tgpM9/3m9zBf1cQhP50NUFLZqFt+hGZ/LRgpNybbnJXhpjGdO1Ft6HuLxpPvMYzD8Ws5DJXGQzn1p+3uHOklPc5BU3uMUPjnSMY01hS9ua2ozD9T8gy2le+7mynw50kP87ZAELW5hI1lt3poTiaamYwaKCNKwp3d4KV5veIJMMurK9a/z2GtBA9u+ox11qIxNbeOhWdbLbzOpNuvp88J5wpWtcb4mbyx+QuTde8i3ZbXuav+AGuKGvN/BEB8/gx14zwh298Gu+msqTfri8pz1xmdNKIBb/EEQyjv7cfXNbvx3/d3QLPV2BD3vkrjN4RNRdXnY/mdlRbnjLZdxNiNN65lWPVc09RJl/6FrjO+c4qD0OdFKHnOjXNbqTMJJ08i7b3Qzv5JxvC/OIW53ubcL6xXNd4k532+eDFnvAyV5uVP8P3WlH9rqV3W4H0xbq0Z563SG/p7vjmr563zjfwf5zAI8d0WZnHJTQjvTDKz3xTG/7yp8u6ajL+sqRd33IJo9v42rb65j/tubFDfLOm1tr3Ak9RNS+9Dc3/d2Nj/esX598AGko6xHJ+d57nnm/bx7wux98730fE8OfHPEJh22rUf92MtIZjVRX/vnnO3mMPP/y0b/99HMv9P7Ak9hyTdK+6LlPeu87efind3Hqoe34Wg/9CLAsHIP5JGP9Zk/fOIznfKzffi3cgm3oBI9xWML+GA3/MrD7Uu683C69xi/ukK8AS6lBHIR4XoVD4MTmFJDrdK4Bv+79RO3vdM/Uiu4ElcME92RJLjD7NvAfgq/0+m/xWE71HE/uzI8EFa238AciNiEKpOAJGEtWGOMAIYIFnW8Buw4Gbc/f4G8C5+/MfESCKMiC/gEWkEAKoMAQVmtTeHA7QO/+gG/01k7xmo3xjFAA62zulBB8XiiGZggiaCEwCmERgutVKq4KlQMLcU4LX1C5HtDbvHAGqa8GRc7zRguKDkGKeP6BF+RhFRKBe2DlDTFw+36wDk2PCAEQ7mZsAPuwhcjpH4aLOQzRa94kEVXwCj2kBS2v9txvEkFskESsAjFiprSnplJiFRbJFtvkDdPu94CQDoUP/P5P/KpMBF3xFevvLk6pHfxBlfIHF6IAFuSBGdVkoBKqn/6hoDBioRqqHS0KIyoqojIio+gxIjrqozBCpPQxIjLBpDIhIzIhpQIyIlrqpeJpES7BH1ihmPxhZJKpXRChFl8Fq+ZAqjBiqKwqI+dAqzjSqzJyrAYhI8QKrTISrk6yrTJyrkYyIuwKrzJir/pKG9XIjfxhuHjhCTjhHVDwFjfkANUvC10Q+iKx7/4oMf6Gkf4yYhkbaYPaQUduoSfJxhmRDhqDcP/YThWt0eXIz72SkCZdZ7AKSyB64QnwRyphDxeBsuJ2USh7kQt/MQI/Tv6sj4mcSBPLsR0MgRFoAS0HJDtY4hnlMBrzDxWH8A6LMABfbgTBUn6Y8Ld6YRGuQAqiwBAlT0MUES8YEdsckSg97I+CUbqSUgwzIrumYLu2hxOeoAqiQJXchCioEvisUhqFkBqdzeG6ct4as+oeQxEjYjPZzxeLUvqOEgzrkrgAkxQE8wevsgPh7APlLARbcQ+/cjdlzi1+EiOAszPbbzhlMDSDbjQJjmGuAza1YzlNcdW+T+WqEQSvcf46y886IS9DLiI7f7MtG3Eou/MznQs8Oc8GPe9ZrCNJQOI8q3Iwm1PhPDD83JMrsZE65XPm/OFCEgNd7FMXE9AtaQ8uvRMYx0wYy4wYzWVAzTMwD5Q5aRMr7dDptnL1pI0PIxTTBIJCK+Q3q1A78ZMz9VM4+TPU/LP6AJT3ZIVEVcJEZRNBU9Q5iQ86n40VpQ4JY1TiZhRDFOMfGgNHMzQ/3xISezTsKpEug/T6ZoVEMSI2gXA2C3Ma2fM2jW8xszFKbW1KKxQzr/Q+s1RHt7THuhT3jDNMh2dAM8JMC08D1ZP/bBMPFTM3Yw5OL01O6VMtsdQceHFDuTTMQPNDRf4zRJWSXJQESQLVQI8URdO0NtcUUZ2U9SCUUePUUYnnQv9hO3eUQ/f0C0GU3DaV5qrDU8sUVM8USUdVRVMRMVdROp+UMVUVzw4jMbTzRu1UUjWUASvV1y4V2GqVAm91Vo7kOj7VSHtVVE9RTRe0PaPzPYv1TY/1xuiTRjPCVWE1T/lNEuWSBsH0EoW0TUYiW1thW5XzRNMT5RT0ORl0XB0UPr3yXO9sTv9BXZe1TjHUWbWUUvXUUvsTU8NTU0kzVkLiXnNVW3eVWwd1Dn9VSf2PTfPQTVPVYC9sQikEXRTWRhn2VXM0OGVVYn2UYv+TXsWUTTI2SQC1Y/c1VPuVA/7/dUkDtkmJFVXjE2UtbEZXFi9a9gqZtWEnFVojVlonlloz1VYvdhSNZGPz1WfRk1D9dT3DlWQT9UGTVmlxTGXndEL/oTDWNWph9k5lNlohcFolsFrDcDwRcWfLVFcjQlDR9FtJtWxN9WhftDrVtgTZNl0xJG5ftl0h9l2N8kctsezqdfmKZCT+lmMDl1c/ljAJF1gPk0Ub1EUfb3G3jGnb9mlfVW4ll2oplzgtd14xN2cDRDo4N3ABFyIE11dHV2S18nSP0FhVN88spGkhwnXZNWa5k0dp1kuR0mL5dk2iY3O/1nd79x9+11sLNSuFtUWL11yPl1yY8HjwYRGiAP4KYCGWxiIwkldZl/dxF/YcInVqt9Bu4RVv51I8b/AfyLCCXNIJoiBlyGJIdDd7uXd7uzdo9U94w5d49TBty7dc/rCwICIVkqAXUCEJwAsj/CFC4PciBgNuI4J5Ydd5Y1V/K9dmgRRn7ZK0NvEfaCERLoEWEMFuhIQjiERJpqNzFZh7QXdwv3dFi69kFRVGKzhWYlGdFLId8AGGxKIv/gJ+l5dCMAKFI1eF3dUBZ7U49fY4I8IYm9KmEEFXDAERDpiHExiI9TVsQTZ4h3ZkD5dckbZgl7hcuvEfwPEfkKAJpwAXptgftoEwsmEbtgEiPECfrAGREdkDCKACqsGRH/45kqmBkiF5AqYBkw9AkzlZAqRhG6Jhkj3gAECZkkUZASIglB05GjwqGig5GkYKlltZASCAlls5pXB5G6YhAkKrIY0JIv9hExAhFv7hEBLBVnQBD+TAE1rhmVvBE5KqE6A5mudgDQShmq1ZDbIZmj2hqrr5mT+BDtAgnFthnMu5FUbhEloBFMbKnNu5DszAnEOBrcxZFOygDAKhmkdhrvYZmkfhDvBKm1tBKxQ3jzelic3pEqBYir2rnd4JnwYgACg6ADCiojE6ozV6ozm6oz36o0E6pD8aIU8hpv6BjGsqFc74H9IYI3rqp4LqFC4BDsSgpm36pnE6p3V6p3m6p8t9+qeBOqhruq/+CqFnRSwD0aY2+BQ8eJDR4QM2GZH/xAOi2pGtgapReRuumpWt2gO4GpG3WhsoOaxFeZKvOhrEmpKvwQPQWq2joa0d+RreOq0RWa7hOq7nGpWnQVdiGC9POodxWIfFwh1AAZ5JwROouZoPG56f2RMY27FJQZshW7IFIbLXubErm6Anu5o325szm7M/G5o/IbSrWRSN+lkeE7jSNwqigBXcF4QFYhW80S+rzjRRk3s4gYAR4YNPu7dvUbZp27eFu+oCAgAh+QQBCAD/ACx6ALMAEwAYAKcHCA8LDBcNDx0QESEREyQREyUREyUREyUREyUREyUREyUREyUREyUSEyUSFCUSFCUSFCUSFCUSFCUSFCUSFCYSFCYSFCYSFCYSFCYSFCYTFSYTFicUFycVFygWGCkXGSkZGysaHC0bHi4dHzAeIDEfITIgIjMhIzQiJDUkJTYmJjgoJzoqKDsrKTwtKz4uLEAwLkIyLkQ0L0Y2MEg3MEk4L0o4L0s5L0s5L0s5L0s5L0s5L0s5L0s5MEs5MEw5MEw6M0w7Nk07OE08Ok48O049PE49PU89Pk8+Pk8+P08/QFBAQVBAQlFCRFFER1JGSVRIS1VKTVZMT1dOUFhPUlhRU1dSVFdTVVhUVllVVlpWV1tXWF1aWmFcW2RdXGdfXWlgXmthX2xiYG5iYG5jYG9jYXBkYXBkYXFkYXFlYHJlYHJlYHNmX3RnXnVnXXdoXHhqWntqWXxrV35sVYFtVIJtVIJtVIJuVYNuVYNuVYNuVYNvVYNvVYNvVYJvVoJvVoJwV4JwWIJxWYJxWoJyXIJzXYJ2ZYR3bIR5cYV7dYZ8eId+e4iAfYqDf4yEgYyGhI6Ih5CKipGMjJORkZaUlJqYmZ6cnKKgoKaio6ilpqumpqynp62oqK6pqa6pqq+qq7CrrLGsrLKtrbOurrSwsLWwsbaxsbaysriytLmytLqytbuytbyxtr2xtr6xt76uuMGsucOousilvMyivdCfvtSdv9abwNmZwNuYwd2Xwd+WwuCVwuKUwuOOweWHv+iCvep/vet9vOx+vOx/veuDvuqIwOmQwuaUw+WUw+SVw+OYw+Gbw96gw9qnwtaswtKwws+3wsu7wsm9wsi/w8fAw8fBw8fCxMfCxcfDxcbDxcbExsbExsbFx8bFyMbGycXHy8XL0MfP1MrU2s7c4tXg5dri5t/k5uLl5uTm5+Xn6Ofo6enp6erq6urr7Ovt7e3u7u7v7+/w8PDw8PHx8fHy8vP09PX39/f5+fn7+/z9/f3+/v7+/v7+/v7+/v7+/v4yzTII4wD/CRSoqw+ULHkGKlxIEEa1VTgYSvyniwK+eyDETVx4jMI/fx43KnznEaTIkSUphDkzrZq1jSQ/Uvik6QyTJJD+vVwY0yRIe+dc/EvyiGfKjyZk1kPHwqhMpFBNovwI4uOMqCGDBfsXrCS6j/M+SpOZDpMUEInMhZwI8h4VafMUdVgrESQ/KS/9VYshEqS/US7WfRS80WckKPdO+rv3QaA/RYgUn3sx0N8hTH0/qakcLoRGtk+4KfRnKUlYhqQjL/TnCEa40fggdfi8GlMIRd3EVaPEJFG7wvYqQTEyZdHrgQEBACH5BAEHAP8ALHsAigA0AEEApwAAAAAAAAEBAQEBAQICAgMDAwQEBAUFBQYGBgcHBwgICAoKCgwMDA0NDQ4ODg8PDxAQEBERERISEhMTExQUFBUVFRYWFhcXFxgYGBkZGRoaGhsbGxwcHB0dHR4eHh8fHyAgICEhISIiIiMjIyQkJCUlJSYmJicnJygoKCkpKSoqKisrKywsLC0tLS4uLi8vLzAwMDExMTIyMjMzMzQ0NDU1NTY2Njc3Nzg4ODk5OTo6Ojs7Ozw8PD09PT4+Pj8/P0BAQEFBQUJCQkNDQ0REREVFRUZGRkdHR0hISElJSUpKSktLS0xMTE1NTU5OTk9PT1BQUFFRUVJSUlNTU1RUVFVVVVZWVldXV1hYWFlZWVpaWltbW1xcXF1dXV5eXl9fX2BgYGFhYWJiYmNjY2RkZGVlZWZmZmdnZ2hoaGlpaWpqamtra2xsbG1tbW5ubm9vb3BwcHFxcXJycnNzc3R0dHV1dXZ2dnd3d3h4eHl5eXp6ent7e3x8fH19fYF9f4R9gYh9g4t9hY58hpB8iJN8iZV8ipd7i5h7jJp7jZt6jp16jp56j596j6B6kKB6kKF6kaF6kaJ6kaJ7kqJ7kqJ8kqN9k6N+k6N/lKOAlKGCl5+Fm56Hn5uKo5mOp5aRrJOVsZCYt4ycvYihw4SlyoCq0nuv2Xmw3Hex33ax4XSy5HGy52+z6W6z62y07Wu07mq072m08Gm08Wi08Wi08mi08mi18mi18mm18mq18Wq18Wu18G2172627nG27XO27Ha36nq36H+45oK55YW65Im74o284ZK935a+3pzA3KHB26fD2bHH2brL2MLO2MrR2NHV19fX19nZ2dvb297e3uDg4OLi4uTk5Obm5ufn5+fn5+jo6Onp6erq6urq6uvr6ens7Ofs7OXt7eTt7eHt7eDt7eHt7ebu7ufu7uru7uzu7u7u7u/v7/Hx8fT09Pf39/n5+fr6+vr6+vv7+/v7+/z8/Pz8/P39/f39/f39/f7+/v7+/v7+/v7+/v7+/v7+/jLNMgjoAP8JHEiwoMGDCBMGWPhvYYCEECNKNPhwosWLCCti3IhRI8ePET2CHEmRpMmSJ1M2VJkyDMuTIl9yjCmzY82RLm9+pKlTIs+eBx02ZAi0qNGjSJMqXcq0qdOnUKNKnUq1qtWrWLNq3cq1q9eikcip8yQ17Niy5KK9kRYVE4w2b6Sqm6tOLt27dZni3ZsXKd+9Sf/iDSyYLuHCfXvaEmirsePHjoFmm0y5smXKQONp3sy582ag+0KLHk1aNFB/qAX6i7j6dGrWrV1LfF2UNkLbPVHHPog7d2/Vu43qLqg7uPDiyJsi/30zIAAh+QQBCAD/ACyoAHwAcgAeAKcAAAAAAAAAAAAAAAABAQEBAQEBAQECAgIDAwMDAwMEBAQFBQUGBgYHBwcJCQkKCgoMDAwNDQ0PDw8REREUFBQVFRUWFhYXFxcYGBgZGRkaGhobGxscHBwdHR0eHh4fHx8gICAhISEiIiIjIyMkJCQlJSUmJiYnJycoKCgpKSkqKiorKyssLCwtLS0uLi4vLy8wMDAxMTEyMjIzMzM0NDQ1NTU2NjY3Nzc4ODg5OTk6Ojo7Ozs8PDw9PT0+Pj4/Pz9AQEBBQUFCQkJDQ0NERERFRUVGRkZHR0dISEhJSUlKSkpLS0tMTExNTU1OTk5PT09QUFBRUVFSUlJTU1NUVFRVVVVWVlZXV1dYWFhZWVlaWlpbW1tcXFxdXV1eXl5fX19gYGBhYWFiYmJjY2NkZGRlZWVmZmZnZ2doaGhpaWlqampra2tsbGxtbW1ubm5vb29wcHBxcXFycnJzc3N0dHR1dXV2dnZ3d3d4eHh5eXl6enp7e3t8fHx9fX1+fn5/f3+AgICBgYGCgoKDg4OEhISFhYWGhoaHh4eIiIiJiYmKioqLi4uMjIyNjY2Ojo6Pj4+QkJCRkZGSkpKTk5OUlJSVlZWWlpaXl5eYmJiZmZmampqbm5ucnJydnZ2enp6fn5+goKChoaGioqKjo6OkpKSlpaWmpqanp6eoqKipqamqqqqrq6usrKytra2urq6vr6+wsLCxsbGysrKzs7O0tLS1tbW2tra3t7e4uLi5ubm6urq7u7u8vLy9vb2+vr6/v7/AwMDBwcHCwsLDw8PExMTFxcXGxsbHx8fIyMjJycnKysrLy8vMzMzNzc3Ozs7Pz8/Q0NDR0dHS0tLT09PU1NTV1dXW1tbX19fa2trc3Nzg4ODi4uLl5eXn5+fp6enr6+vs7Ozu7u7v7+/v7+/w8PDw8PDw8PDw8PDw8PDw8PDw8PDw8PDw8PDw8PDw8PDw8PDx8fHx8fHy8vLy8vL09PT19fX29vb39/f4+Pj5+fn6+vr6+vr6+vr7+/v7+/syzTIIwgD/CRxIsKDAMAj/IQxjsKHDhxAjSpxIsWJBARYzatzIsaNAjB5DihypESTJkyhTKlTJsiVHky5jynQIc6bNmTVv6mSZc6dPkj1/xoxHtKjRl0J3Gl0aD2nSm0yPbgz6VKVRKFCklqxqsyhWrEX9if0n1t9EqlxPRi060KxEAXD/wUWb1qPXr2wFuq1b92rWvGT58l1LtK3gvoQNH17ccC/jx4EhQ/YkGbLjyoIvY66reTNXyp4zhxY9umpZsmNL/wwIACH5BAEJAP8ALLkAbwBhACAApwAAAAAAAAAAAAEBAQEBAQICAgMDAwQEBAUFBQYGBgcHBwkJCQoKCgwMDA4ODg8PDxAQEBERERISEhMTExQUFBUVFRYWFhcXFxgYGBkZGRoaGhsbGxwcHB0dHR4eHh8fHyAgICEhISIiIiMjIyQkJCUlJSYmJicnJygoKCkpKSoqKisrKywsLC0tLS4uLi8vLzAwMDExMTIyMjMzMzQ0NDU1NTY2Njc3Nzg4ODk5OTo6Ojs7Ozw8PD09PT4+Pj8/P0BAQEFBQUJCQkNDQ0REREVFRUZGRkdHR0hISElJSUpKSktLS0xMTE1NTU5OTk9PT1BQUFFRUVFRUVJSUlNTU1RUVFVVVVdXV1hYWFlZWVpaWltbW1xcXF1dXV5eXl9fX2BgYGFhYWJiYmNjY2RkZGVlZWZmZmdnZ2hoaGlpaWpqamtra2xsbG1tbW5ubm9vb3BwcHFxcXJycnNzc3R0dHV1dXZ2dnd3d3h4eHl5eXp6ent7e3x8fH19fX5+fn9/f4CAgIGBgYKCgoODg4SEhIWFhYaGhoeHh4iIiImJiYqKiouLi4yMjI2NjY6Ojo+Pj5CQkJGRkZKSkpOTk5SUlJWVlZaWlpeXl5iYmJmZmZqampubm5ycnJ2dnZ6enp+fn6CgoKGhoaKioqOjo6SkpKWlpaampqenp6ioqKmpqaqqqqurq6ysrK2tra6urq+vr7CwsLGxsbKysrOzs7S0tLW1tba2tre3t7i4uLm5ubq6uru7u7y8vL29vb6+vr+/v8DAwMHBwcLCwsPDw8TExMXFxcbGxsfHx8jIyMnJycrKysvLy8zMzM3Nzc7Ozs/Pz9DQ0NHR0dLS0tPT09TU1NfX19vb297e3uLi4uTk5Obm5ujo6Orq6uzs7O3t7e/v7+/v7/Dw8PDw8PDw8PDw8PDw8PDw8PDw8PDw8PDw8PHx8fHx8fHx8fHx8fHx8fHx8fHx8fLy8vPz8/X19ff39/n5+fv7+/z8/P39/f7+/v7+/v7+/v7+/v7+/v7+/jLNMgjSAP8JHEiwoMGDCBMqXMgwYbuHECM2nEixokWGETO2u8ixo0eHGiF+HEnyYkQoUCSWXMkSIUSUKEW2nDkzpMx/AXLi1EmzJ8WXMG8ODOCz6E+gKgkSNcpUoc2HBpc2nVrw6caCUqlqrZh1q9eFXb+K9UT2X1mxaA36Exg27de1ON3KhdtWrlZPAsPYTUt3L9q+ft+yDSxWZ866hGnCTdzSn+PHkAcuZrwSsuXFkymTvBxZYGbNHzk/lgy6smjMpUuejjw6dcfVrlnCjq36NO3aogMCACH5BAESAP8ALLwAcAAJABUApwAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAEBAQEBAQMDAwUFBQgICAwMDBAQEBUVFRoaGh0dHR4eHh8fHyAgICEhISIiIiMjIyQkJCUlJSYmJicnJygoKCkpKSoqKisrKywsLC0tLS4uLi8vLzAwMDExMTIyMjMzMzQ0NDU1NTY2Njc3Nzg4ODk5OTo6Ojs7Ozw8PD09PT4+Pj8/P0BAQEFBQUJCQkNDQ0REREVFRUZGRkdHR0hISElJSUpKSktLS0xMTE1NTU5OTk9PT1BQUFFRUVJSUlNTU1RUVFVVVVZWVldXV1hYWFlZWVpaWltbW1xcXF1dXV5eXl9fX2BgYGFhYWJiYmNjY2RkZGVlZWZmZmdnZ2hoaGlpaWpqamtra2xsbG1tbW5ubm9vb3BwcHFxcXJycnNzc3R0dHV1dXZ2dnd3d3h4eHl5eXp6ent7e3x8fH19fX5+fn9/f4CAgIGBgYKCgoODg4SEhIWFhYaGhoeHh4iIiImJiYqKiouLi4yMjI2NjY6Ojo+Pj5CQkJGRkZKSkpOTk5SUlJWVlZaWlpeXl5iYmJmZmZqampubm5ycnJ2dnZ6enp+fn6CgoKGhoaKioqOjo6SkpKWlpaampqenp6ioqKmpqaqqqqurq6ysrK2tra6urq+vr7CwsLGxsbKysrOzs7S0tLW1tba2tre3t7i4uLm5ubq6uru7u7y8vL29vb6+vr+/v8DAwMHBwcLCwsPDw8TExMXFxcbGxsfHx8jIyMnJycrKysvLy8zMzM3Nzc7Ozs/Pz9DQ0NHR0dLS0tPT09TU1NXV1dbW1tfX19jY2NnZ2dra2tvb29zc3N3d3d7e3t/f3+Dg4OHh4eLi4uPj4+Tk5OXl5ebm5ufn5+jo6Onp6erq6uvr6+zs7O3t7e7u7u/v7/Dw8PHx8fLy8vPz8/T09PX19fb29vf39/n5+fv7+/39/f39/f7+/v7+/v7+/jLNMghEAP/9U0BwYEGBAhUgXDiQIUKFDhsK9Efxnz+LDC9CXKjRYceMEjmGRPhxoad/YTyOnLhSocuD/05GvDgzIkaOFSnSDAgAIfkEAQgA/wAsvgBvAAcAEQCnAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAQEBAgICAwMDBQUFCQkJDQ0NEhISFxcXHBwcHx8fICAgISEhIiIiIyMjJCQkJSUlJiYmJycnKCgoKSkpKioqKysrLCwsLS0tLi4uLy8vMDAwMTExMjIyMzMzNDQ0NTU1NjY2Nzc3ODg4OTk5Ojo6Ozs7PDw8PT09Pj4+Pz8/QEBAQUFBQkJCQ0NDRERERUVFRkZGR0dHSEhISUlJSkpKS0tLTExMTU1NTk5OT09PUFBQUVFRUlJSU1NTVFRUVVVVVlZWV1dXWFhYWVlZWlpaW1tbXFxcXV1dXl5eX19fYGBgYWFhYmJiY2NjZGRkZWVlZmZmZ2dnaGhoaWlpampqa2trbGxsbW1tbm5ub29vcHBwcXFxcnJyc3NzdHR0dXV1dnZ2d3d3eHh4eXl5enp6e3t7fHx8fX19fn5+f39/gICAgYGBgoKCg4ODhISEhYWFhoaGh4eHiIiIiYmJioqKi4uLjIyMjY2Njo6Oj4+PkJCQkZGRkpKSk5OTlJSUlZWVlpaWl5eXmJiYmZmZmpqam5ubnJycnZ2dnp6en5+foKCgoaGhoqKio6OjpKSkpaWlpqamp6enqKioqampqqqqq6urrKysra2trq6ur6+vsLCwsbGxsrKys7OztLS0tbW1tra2t7e3uLi4ubm5urq6u7u7vLy8vb29vr6+v7+/wMDAwcHBwsLCw8PDxMTExcXFxsbGx8fHyMjIycnJysrKy8vLzMzMzc3Nzs7Oz8/P0NDQ0dHR0tLS09PT1NTU1dXV1tbW19fX2NjY2dnZ2tra29vb3Nzc3d3d3t7e39/f4ODg4eHh4uLi5eXl6Ojo6+vr7u7u8/Pz9/f3+vr6/Pz8/f39/f39/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+Ms0yCCIAFwj8J3CBv4MGD/5byLChw4cQI0qcSLGixYL+MCo86C8gACH5BAEHAP8ALLMAagAYABgApwAAAAEBAQICAgMDAwQEBAUFBQYGBgcHBwgICAkJCQoKCgsLCwwMDA0NDQ4ODg8PDxAQEBERERISEhMTExQUFBUVFRYWFhcXFxgYGBkZGRoaGhsbGxwcHB0dHR4eHh8fHyAgICEhISIiIiMjIyQkJCUlJSYmJicnJygoKCkpKSoqKisrKywsLC0tLS4uLi8vLzAwMDExMTIyMjMzMzQ0NDU1NTY2Njc3Nzg4ODk5OTo6Ojs7Ozw8PD09PT4+Pj8/P0BAQEFBQUJCQkNDQ0REREVFRUZGRkdHR0hISElJSUpKSktLS0xMTE1NTU5OTk9PT1BQUFFRUVJSUlNTU1RUVFVVVVZWVldXV1hYWFlZWVpaWltbW15eVmBgUWNjTGVlR2dnQ2lpPmtrOmxsNW5uMXBwKnFxJHJyH3NzGnR0FnV1EXZ2DnZ2Cnd3B3d3BXd3BHd3A3d3And3AXd3AXd3AXd3AXd3AHd3AHh4AXh4AXh4AXh4Anh4Anh4A3h4BHh4Bnh4CXl5DXl5EXp6Fnp6G3t7IHx8J319L35+OH9/PoGBRIKCS4SEUoWFW4eHY4mJbIyMdY6OfpCQiZOTk5SUlJaWlZiYlpmZl5qamJycmJ2dmZ6emZ+fmp+fmqCgmqGhm6Ghm6KinKKinKOjnaOjnaSknqWln6WloKamoaenoqiopKmppaqqp6urqa2tq66urrCwsLOzq7e3obq6mL29j8DAiMLCgcPDe8XFdcbGccfHa8nJZ8nJY8rKYMrKXcvLWsvLWcvLWMvLV8vLVsvLVsvLVsvLVsvLVcvLVcvLVcvLVcvLVszMV8zMWMzMWc3NW83NXc7OX8/PY9DQZtLSbNPTctXVeNfXftnZhtzcjt/fmOPjpOfnsO7uw/X10vr63fz83/392P39zv7+wf7+s/7+qv7+o/7+nv7+l/7+j/7+if7+h/7+h/7+h/7+h/7+h/7+h/7+h/7+h/7+h/7+h/7+h/7+h/7+h/7+h/7+h/7+h/7+h/7+h/7+h/7+hzLNMgi5AP8JHPgPXDhy5tChM1dOHDiCEAd6ujWMmcWLFo/hAhVxIDh0/kKKHBky3cOI4dSRXClSnTiI4FSynOkvnEeQLPXo9KdTj0iTAsfRFOlzJbmCMocWXWlwKNGZ48g5DbmUpDlzU3nOVJi1KkmcTr2OxDpVbMlyXWeeE5eW5biYZWc+lBqWZTmBoIJh3GsREd9jpjwmzbnyJUG2K3vy3OlvXMdw6aa67CiQVC6+GHUFpuxxXMKS5952DAgAIfkEATAA/wAsUgBqAMkAWACnAAAAAAAAAAAAAQEBAgICAgICAwMDBAQEBQUFBgYGCAgICQkJCwsLDQ0NDg4ODw8PEBAQEREREhISExMTFBQUFRUVFhYWFxcXGBgYGRkZGhoaGxsbHBwcHR0dHh4eHx8fICAgISEhIiIiIyMjJCQkJSUlJiYmJycnKCgoKSkpKioqKysrLCwsLS0tLi4uLy8vMDAwMTExMjIyMzMzNDQ0NTU1NjY2Nzc3ODg4OTk5Ojo6Ozs7PDw8PT09Pj4+Pz8/QEBAQUFBQkJCQ0NDRERERUVFRkZGR0dHSEhISUlJSkpKS0tLTExMTU1NTk5OT09PUFBQUVFRUlJSU1NTVFRUVVVVVlZWV1dXWFhYWVlZWlpaW1tbXFxcXV1dXl5eX19fYGBgYWFhYmJiY2NjZGRkZWVlZmZmZ2dnaGhoaWlpampqa2trbGxsbW1tbm5ub29vcHBwcXFxcnJyc3NzdHR0dXV1dnZ2d3d3eHh4eXl5enp6e3t7fn5+gYGBhISEhoaGiYmJi4uLjY2Njo6OkJCQkZGRk5OTlJSUlZWVlpaWl5eXl5eXmJiYmZmZmZmZmZqbmJyflp2jj6GvhqW+d6zXbrDlabLtZrPxZbTzZLT0ZLT1ZLT1ZLT1ZLT1ZLT1ZLT1ZLT1ZLT1ZLT1ZLT1ZLT1ZLT1ZLX2ZLX2ZLX2ZLX2Zrb2brr2kcr4x+T78/n+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/////v7+/v7+////Ms0yCP4A/wkcSLCgwYMIEypcyLBhw30QI0p0SLGixYsYM2o8iKqjx48gQ4ocSbKkyZMoU6pcCXKjS4qoXlaUSLPmPpk4cxaMqbOnQJ4+D9ocGjGoUYxAj75MqpSo05tKoy5kKhVpwxkunQbYum9rAJpVw+4Uq5HqQawbn0L8apMsWbNuGcItiDaj2rVE41adqxch34F1Md7tmrev0r+GCSL+F/jiYLZtExtdLHlxY4uPC0v2STmx5bR3IdfcHLSz4c8aMw8lzZm1QtR2Q2t2LdN0X9iCZa+mjdO2Xt+OdUfmvZS4QeCYhY827hL526rKJzJvPn0gy+srlWDfzr27yOpu1feKLgq+vPl/Q7125QrxvHvwg9u/n88ckv37+PHT38/cKf//AAYo4IAEFmjggQgmqOCCDDbo4IMQRijhhBRWaOGFGGao4YYcdujhhyCGKOKIJJZo4okopqjiiiy26OKLMMYo44w01mjjjTjmqOOOPPbo449ABinkkEQWaSSQ8SWp5JJMDvZhk1BGKWWSHU5p5ZVYQqWhllvKt2WVXmbIpZhhYjimmeSJCWaZFp55oXRqcginmWu6SaGdFc75Zp0b4nlnmnTKCeiegrKZJ59fFupnhItKqGebiMbZ56CQFqpolphmqtalmnbqqaF5fipqp3WOauqUHgYEACH5BAEeAP8ALJwAbwABAAoApwAAAAEBAQICAgMDAwQEBAUFBQYGBgcHBwgICAkJCQoKCgsLCwwMDA0NDQ4ODg8PDxAQEBERERISEhMTExQUFBUVFRYWFhcXFxgYGBkZGRoaGhsbGxwcHB0dHR4eHh8fHyAgICEhISIiIiMjIyQkJCUlJSYmJicnJygoKCkpKSoqKisrKywsLC0tLS4uLi8vLzAwMDExMTIyMjMzMzQ0NDU1NTY2Njc3Nzg4ODk5OTo6Ojs7Ozw8PD09PT4+Pj8/P0BAQEFBQUJCQkNDQ0REREVFRUZGRkdHR0hISElJSUpKSktLS0xMTE1NTU5OTk9PT1BQUFFRUVJSUlNTU1RUVFVVVVZWVldXV1hYWFlZWVpaWltbW1xcXF1dXV5eXl9fX2BgYGFhYWJiYmNjY2RkZGVlZWZmZmdnZ2hoaGlpaWpqamtra2xsbG1tbW5ubm9vb3BwcHFxcXJycnNzc3R0dHV1dXZ2dnd3d3h4eHl5eXp6ent7e3x8fH19fX5+fn9/f4CAgIGBgYKCgoODg4SEhIWFhYaGhoeHh4iIiImJiYqKiouLi4yMjI2NjY6Ojo+Pj5CQkJGRkZKSkpOTk5SUlJWVlZaWlpeXl5iYmJmZmZqampubm5ycnJ2dnZ6enp+fn6CgoKGhoaKioqOjo6SkpKWlpaampqenp6ioqKmpqaqqqqurq6ysrK2tra6urq+vr7CwsLGxsbKysrOzs7S0tLW1tba2tre3t7i4uLm5ubq6uru7u7y8vL29vb6+vr+/v8DAwMHBwcLCwsPDw8TExMXFxcrKys7OztXV1dvb2+Li4ujo6O7u7vPz8/b29vn5+fv7+/z8/P39/f39/f7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v///zLNMggHAP0JHEgwIAAh+QQBEAD/ACyYAHAAAwAHAKcAAAABAQECAgIDAwMEBAQFBQUGBgYHBwcICAgJCQkKCgoLCwsMDAwNDQ0ODg4PDw8QEBARERESEhITExMUFBQVFRUWFhYXFxcYGBgZGRkaGhobGxscHBwdHR0eHh4fHx8gICAhISEiIiIjIyMkJCQlJSUmJiYnJycoKCgpKSkqKiorKyssLCwtLS0uLi4vLy8wMDAxMTEyMjIzMzM0NDQ1NTU2NjY3Nzc4ODg5OTk6Ojo7Ozs8PDw9PT0+Pj4/Pz9AQEBBQUFCQkJDQ0NERERFRUVGRkZHR0dISEhJSUlKSkpLS0tMTExNTU1OTk5PT09QUFBRUVFSUlJTU1NUVFRVVVVWVlZXV1dYWFhZWVlaWlpbW1tcXFxdXV1eXl5fX19gYGBhYWFiYmJjY2NkZGRlZWVmZmZnZ2doaGhpaWlqampra2tsbGxtbW1ubm5vb29wcHBxcXFycnJzc3N0dHR1dXV2dnZ3d3d4eHh5eXl6enp7e3t8fHx9fX1+fn5/f3+AgICBgYGCgoKDg4OEhISFhYWGhoaHh4eIiIiJiYmKioqLi4uMjIyNjY2Ojo6Pj4+QkJCRkZGSkpKTk5OUlJSVlZWWlpaXl5eYmJiZmZmampqbm5ucnJydnZ2enp6fn5+goKChoaGioqKjo6OkpKSlpaWmpqanp6eoqKipqamqqqqrq6usrKytra2urq6vr6+wsLCxsbGysrKzs7O0tLS1tbW2tra3t7e4uLi5ubm6urq7u7u8vLy9vb2+vr6/v7/AwMDBwcHCwsLDw8PExMTFxcXGxsbHx8fIyMjT09Pe3t7p6enx8fH39/f6+vr8/Pz9/f3+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v4yzTIIDgD/+RtIcKBAfwcTDgwIACH5BAEJAP8ALJQAdAAEAAEApwAAAAEBAQICAgMDAwQEBAUFBQYGBgcHBwgICAkJCQoKCgsLCwwMDA0NDQ4ODg8PDxAQEBERERISEhMTExQUFBUVFRYWFhcXFxgYGBkZGRoaGhsbGxwcHB0dHR4eHh8fHyAgICEhISIiIiMjIyQkJCUlJSYmJicnJygoKCkpKSoqKisrKywsLC0tLS4uLi8vLzAwMDExMTIyMjMzMzQ0NDU1NTY2Njc3Nzg4ODk5OTo6Ojs7Ozw8PD09PT4+Pj8/P0BAQEFBQUJCQkNDQ0REREVFRUZGRkdHR0hISElJSUpKSktLS0xMTE1NTU5OTk9PT1BQUFFRUVJSUlNTU1RUVFVVVVZWVldXV1hYWFlZWVpaWltbW1xcXF1dXV5eXl9fX2BgYGFhYWJiYmNjY2RkZGVlZWZmZmdnZ2hoaGlpaWpqamtra2xsbG1tbW5ubm9vb3BwcHFxcXJycnNzc3R0dHV1dXZ2dnd3d3h4eHl5eXp6ent7e3x8fH19fX5+fn9/f4CAgIGBgYKCgoODg4SEhIWFhYaGhoeHh4iIiImJiYqKiouLi4yMjI2NjY6Ojo+Pj5CQkJGRkZKSkpOTk5SUlJWVlZaWlpeXl5iYmJmZmZqampubm5ycnJ2dnZ6enp+fn6CgoKGhoaKioqOjo6SkpKWlpaampqenp6ioqKmpqaqqqqurq6ysrK2tra6urq+vr7CwsLGxsbKysrOzs7S0tLW1tba2tre3t7i4uLm5ubq6uru7u7y8vL29vb6+vr+/v8DAwMHBwcLCwsPDw8TExMXFxcbGxsfHx8jIyMnJycrKysvLy8zMzM3Nzc7Ozs/Pz9DQ0NHR0dLS0tPT09TU1NjY2Nvb297e3uHh4eTk5Ojo6Ozs7O/v7/Ly8vT09Pb29vn5+fr6+vz8/P39/f39/f7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v///zLNMggGAP0J9BcQACH5BAE3AP8ALJQAbwABAAoApxwcHCIiIicnJyoqKi0tLS8vLzAwMDExMTIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjMzMzMzMzMzMzMzMzMzMzMzMzMzMzMzMzMzMzMzMzMzMzMzMzMzMzMzMzMzMzQ0NDQ0NDU1NTY2Njc3Nzg4ODk5OTs7Oz09PT8/P0JCQkVFRUdHR0pKSkxMTE9PT1JSUlNTU1RUVFVVVVZWVldXV1hYWFlZWVpaWltbW1xcXF1dXV5eXl9fX2BgYGFhYWJiYmNjY2RkZGVlZWZmZmdnZ2hoaGlpaWpqamtra2xsbG1tbW5ubm9vb3BwcHFxcXJycnNzc3R0dHV1dXZ2dnd3d3h4eHl5eXp6ent7e3x8fH19fX5+fn9/f4CAgIGBgYKCgoODg4SEhIWFhYaGhoeHh4iIiImJiYqKiouLi4yMjI2NjY6Ojo+Pj5CQkJGRkZKSkpOTk5SUlJWVlZaWlpeXl5iYmJmZmZqampubm5ycnJ2dnZ6enp+fn6CgoKGhoaKioqOjo6SkpKWlpaampqenp6ioqKmpqaqqqqurq6ysrK2tra6urq+vr7CwsLGxsbKysrOzs7S0tLW1tba2tre3t7i4uLm5ubq6uru7u7y8vL29vb6+vr+/v8DAwMHBwcLCwsPDw8TExMXFxcbGxsfHx8jIyMnJycrKysvLy8zMzM3Nzc7Ozs/Pz9DQ0NHR0dLS0tPT09TU1NXV1dbW1tfX19jY2NnZ2dra2tvb29zc3N3d3d7e3t/f3+Dg4OHh4eLi4uPj4+Tk5OXl5ebm5ufn5+jo6Onp6erq6uvr6+zs7O3t7e7u7u/v7/Dw8PHx8fLy8vPz8/T09PX19fb29vf39/j4+Pn5+fr6+vv7+/z8/P39/f7+/jLNMggHAHUIHEgwIAAh+QQBBgD/ACyUAG8AAQAKAKcAAAABAQECAgIDAwMEBAQFBQUGBgYHBwcICAgJCQkKCgoLCwsMDAwNDQ0ODg4PDw8QEBARERESEhITExMUFBQVFRUWFhYXFxcYGBgZGRkaGhobGxscHBwdHR0eHh4fHx8gICAhISEiIiIjIyMkJCQlJSUmJiYnJycoKCgpKSkqKiorKyssLCwtLS0uLi4vLy8wMDAxMTEyMjIzMzM0NDQ1NTU2NjY3Nzc4ODg5OTk6Ojo7Ozs8PDw9PT0+Pj4/Pz9AQEBBQUFCQkJDQ0NERERFRUVGRkZHR0dISEhJSUlKSkpLS0tMTExNTU1OTk5PT09QUFBRUVFSUlJTU1NUVFRVVVVWVlZXV1dYWFhZWVlaWlpbW1tcXFxdXV1eXl5fX19gYGBhYWFiYmJjY2NkZGRlZWVmZmZnZ2doaGhpaWlqampra2tsbGxtbW1ubm5vb29wcHBxcXFycnJzc3N0dHR1dXV2dnZ3d3d4eHh5eXl6enp7e3t8fHx9fX1+fn5/f3+AgICBgYGCgoKDg4OEhISFhYWGhoaHh4eIiIiJiYmKioqLi4uMjIyNjY2Ojo6Pj4+QkJCRkZGSkpKTk5OUlJSVlZWWlpaXl5eYmJiZmZmampqbm5ucnJydnZ2enp6fn5+goKChoaGioqKjo6OkpKSlpaWmpqanp6eoqKipqamqqqqrq6usrKytra2urq6vr6+wsLCxsbGysrKzs7O0tLS1tbW2tra3t7e4uLi5ubm6urq7u7u8vLy9vb2+vr6/v7/AwMDBwcHCwsLDw8PExMTFxcXKysrOzs7V1dXb29vi4uLo6Oju7u7z8/P29vb5+fn7+/v8/Pz9/f39/f3+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7///8yzTIIBwD9CRxIMCAAIfkEATkA/wAslABvAAYACgCnAAAAAQEBAgICAwMDBAQEBQUFBgYGBwcHCAgICQkJCgoKCwsLDAwMDQ0NDg4ODw8PEBAQEREREhISExMTFBQUFRUVFhYWFxcXGBgYGRkZGxsbHx8fJCQkKCkpKywsLS8vLTAwLTExLTIyLTIyLDIyLDIyLDIyKzIyKzIyKzIyKzIyKzIyKzIyKzIyLDIyLDIyLDIyLjIyLzIyMDMzMDMzMTMzMTMzMTM1MjM4MjM8MjM+MjNAMzNCMzNBMzNAMzM+MzM8NDQ5NTU1NjY2Nzc3OTk5Ozs7Pj4+QUFBRERERkZGSEhISkpKTU1NTk5OT09PUFBQUVFRUlJSU1NTVFRUVVVVVlZWV1dXWFhYWVlZWlpaW1tbXFxcXV1dXl5eX19fYGBgYWFhYmJiY2NjaWVlb2dndGlpeWtqfmxrgm1tiW9uj3BvlHJxmHNxnHNynnRzonV1pnV5qXZ8q3Z/rXaCr3aFsHaJsXeMsXeQsXeTsXeXsHebr3edrnefrXehrHejqnelqXenp3eppXeqonetnXevmXexlXeyk3eykXezj3izjXizjHizi3myi3myinqxiXyviH2th4CqhoOniIakiImjiouijI2hjo+hkZGgk5SflpeempqenZ2dnp6en5+foKCgoaGhoqKio6OjpKSkpaWlpqamp6enqKioqampqqqqq6urrKysra2trq6ur6+vsLCwsbGxsrKys7OztLS0tbW1tra2t7e3uLi4ubm5vry4xL63ycC2zcK10cS01caz2cey3Mix38qw5Muu6c6t7dCr8dKr89Sq9dWq99aq+Neq+diq+dmr+tus+t2u+9+v++Cx++Gy/OKy/OKy+uK0+eK29+K49eK58+G78OG+7OHC6OHG4+HL3+HO3OHS2OHW0uLczeLiyePnxOPtv+TyvOT2ueT5uOb8u+j9vun9w+z+yO7+zvH+1PP+3vf86Pr57vz28v309f3y9/7w+P7v+f7u+v7t+/7r+/7q/P7p/P7n/f7m/f7l/f7j/f7iMs0yCDEA/wkUaONfMhs2ztm4JwddNUY0/BWCd49PC4kULWKs2IKhQ4gGbfBAV3Dgv5IDbQQEACH5BAEIAP8ALJkAbwAtABAApwAAAAAAAAEBAQICAgMDAwQEBAUFBQcHBwgICAkJCQoKCgsLCwwMDA0NDQ4ODg8PDxAQEBERERISEhMTExQUFBUVFRYWFhcXFxgYGBkZGRoaGhsbGxwcHB0dHR4eHh8fHyAgICEhISIiIiMjIyQkJCUlJSYmJicnJygoKCkpKSoqKisrKywsLC0tLS4uLi8vLzAwMDExMTIyMjMzMzQ0NDU1NTY2Njc3Nzg4ODk5OTo6Ojs7Ozw8PD09PT4+Pj8/P0BAQEFBQUJCQkNDQ0REREVFRUZGRkdHR0hISElJSUxKSEtLS0xMTE1NTU5OTk9PT1BQUFFRUVJSUlNTU1RUVFVVVVZWVldXV1hYWFlZWVpaWltbW1xcXF1dXV5eXl9fX2BgYGFhYWJiYmNjY2RkZGVlZWZmZmdnZ2hoaGlpaWpqamtra2xsbG1tbW5ubm9vb3BwcHFxcXJycnNzc3R0dHV1dXZ2dnd3d3h4eHl5eXp6ent7e3x8fH19fX5+fn9/f4CAgIGBgYKCgoODg4SEhIWFhYaGhoeHh4iIiImJiYqKiouLi4yMjI2NjY6Ojo+Pj5CQkJGRkZKSkpOTk5SUlJWVlZaWlpeXl5iYmJmZmZqampubm5ycnJ2dnZ6enp+fn6CgoKGhoaKioqOjo6SkpKWlpaampqenp6ioqKmpqaqqqqurq6ysrK2tra6urq+vr7CwsLGxsbKysrOzs7S0tLW1tba2tre3t7i4uLm5ubq6uru7u7y8vL29vb6+vr+/v8DAwMHBwcLCwsPDw8TExMXFxcbGxsfHx8jIyMnJycrKysvLy8zMzM3Nzc7Ozs/Pz9DQ0NHR0dLS0tPT09TU1NXV1dbW1tfX19jY2NnZ2dra2tvb29zc3N3d3d7e3t/f3+Li4uXl5ejo6Orq6uzs7O7u7vHx8fPz8/X19ff39/n5+fr6+vv7+/z8/Pz8/P39/f39/f7+/v7+/v7+/vv+/vn+/vf+/vX+/vT+/vP+/vT+/vX+/vb+/vj+/vv//zLNMghaAOf9G0iwoMGDCBMK/BdgYcOEECNK/DcvAMF8EzNqrHhRo8eIHAdi/EjSYMh/I0uqPJlSJcmTC12+tDgwpkyPMG/O1OnyJM+PPn9upCnUYy0lRYESTQrRocOAACH5BAEHAP8ALKwAbwAaABwApwAAAAAAAAAAAAAAAAAAAAAAAAEBAQEBAQEBAQICAgICAgMDAwQEBAUFBQYGBgcHBwkJCQsLCw0NDRAQEBISEhUVFRYWFhcXFxgYGBkZGRoaGhsbGxwcHB0dHR4eHh8fHyAgICEhISIiIiMjIyQkJCUlJSYmJicnJygoKCkpKSoqKisrKywsLC0tLS4uLi8vLzAwMDExMTIyMjMzMzQ0NDU1NTY2Njc3Nzg4ODk5OTo6Ojs7Ozw8PD09PT4+Pj8/P0BAQEFBQUJCQkNDQ0REREVFRUZGRkdHR0hISElJSUpKSktLS0xMTE1NTU5OTk9PT1BQUFFRUVJSUlNTU1RUVFVVVVZWVldXV1hYWFlZWVpaWltbW1xcXF1dXV5eXl9fX2BgYGFhYWJiYmNjY2RkZGVlZWZmZmdnZ2hoaGlpaWpqamtra2xsbG1tbW5ubm9vb3BwcHFxcXJycnNzc3R0dHV1dXZ2dnd3d3h4eHl5eXp6ent7e3x8fH19fX5+fn9/f4CAgIGBgYKCgoODg4SEhIWFhYaGhoeHh4iIiImJiYqKiouLi4yMjI2NjY6Ojo+Pj5CQkJGRkZKSkpOTk5SUlJWVlZaWlpeXl5iYmJmZmZqampubm5ycnJ2dnZ6enp+fn6CgoKGhoaKioqOjo6SkpKWlpaampqenp6ioqKmpqaqqqqurq6ysrK2tra6urq+vr7CwsLGxsbKysrOzs7S0tLW1tba2tre3t7i4uLm5ubq6uru7u7y8vL29vb6+vr+/v8DAwMHBwcLCwsPDw8TExMXFxcbGxsfHx8jIyMnJycrKysvLy8zMzM3Nzc7Ozs/Pz9DQ0NHR0dLS0tPT09TU1NXV1dbW1tfX19jY2NnZ2dra2tvb29zc3N3d3d7e3t/f3+Dg4OHh4eLi4uPj4+Tk5OXl5ebm5ufn5+jo6Onp6erq6uvr6+zs7O3t7e7u7u/v7/Dw8PHx8fLy8vPz8/X19ff39/j4+Pn5+fr6+vv7+/z8/P39/f7+/v7+/v7+/jLNMghpAP8JHEiwIEF/CP8h9GewoUOFDyMaZCixIkSLEilifKhxY8OOHguCDDlwJMmLJw+mFDlwgMt/LgdsHKmEZC2DMkOOzGlxocKEAnmu/BdmaEujQZHCVCp0ZdOUT09GJTk1ZFWLMWG+JBkQACH5BAEIAP8ALJ4AewAVAD4ApwAAAAEBAQICAgMDAwQEBAUFBQYGBgcHBwgICAkJCQoKCgsLCwwMDA0NDQ4ODg8PDxAQEBERERISEhMTExQUFBUVFRYWFhcXFxgYGBkZGRoaGhsbGxwcHB0dHR4eHh8fHyAgICEhISIiIiMjIyQkJCUlJSYmJicnJygoKCkpKSoqKisrKywsLC0tLS4uLi8vLzAwMDExMTIyMjMzMzQ0NTY2Nzc3OTk5PDo6Pjs7Pzs8QTw9Qj09Qz4+RD4/RT8/Rj9ARj9AR0BBR0BBR0FCSEJDSENDSERESUVFSUZHSkhISkpKS0tLTE1NTU5OTk9PT1BQUFFRUVJSUlNTU1RUVFVVVVZWVldXV1hYWFlZWVpaWltbW1xcXF1dXV5eXl9fX2BgYGFhYWJiYmNjY2RkZGVlZWZmZmdnZ2hoaGlpaWpqamtra2xsbG1tbW5ubm9vb3BwcHFxcXJycnNzc3R0dHV1dXZ2dnd3d3h4eHl5eXp6ent7e3x8fH19fX5+fn9/f4CAgIGBgYKCgoODg4SEhIWFhYaGhoeHh4iIiImJiYqKiouLi4yMjI2NjY6Ojo+Pj5CQkJGRkZKSkpOTk5SUlJWVlZaWlpeXl5iYmJmZmZqampubm5ycnJ2dnZ6enp+fn6CgoKGhoqOjo6SkpKSlpqWlpqamp6enqKioqampqqqqqqurq6ysrK2tra+vr7GxsrKytLO0tbS1trW2t7e3uLe4ubi4urm5urm6u7q6vLq7vLu7vbu8vry8vr29v76+wL+/wcDBwsHBw8LCxMPDxcTFxsXGx8bHyMfIycnJysnKy8rKy8vLzMvMzczNzs3Ozs7Pz9DQ0NHR0tPT09TU1dXV1tbW1tfX19jY2NnZ2dra2tvb29zc3N7e3t/f3+Dg4ODg4eHh4uLi4uPj4+Tk5OXl5ebm5ufn5+jo6Onp6erq6uvr6+zs7O3t7e7u7vDw8PHx8vPz8/T09PX19fX29vb29/f3+Pn5+fv7+/z8/f39/f7+/v7+/v7+/v7+/jLNMgjIAP8JHEiQoL+D/w76K8iQoayGEAsujEhxIkWIFi8y9KQRY8eGGT8KDCmS5EeTHVFqVHmRZUWRIxEqhEmzps2bOHPq3Mmzp8+fQIMKHUq0qNGjODEks/lARZ+aGP4VWQozqlSqH61eFWlBob8fvD529Qq241iyYS+eVXivLMW1Ct+5hQhXIbq5DOsqDPcj4ll5B38IFuz3oDwFsfwFOaWx62FeKfyFS9H48b8kw/wlYUzxh4K0vEr4s7aCZhJr/mDQtFaCS7CLAQEAIfkEAQcA/wAsUgCmAGgAHwCnCwwXDA0ZDQ8cDxAeDxEgEBIhERMiERMjERMkEhQkEhQlEhQlEhQlEhQmEhUmEhUmExUmExUmExUmExUnExYnExYnExYnFBYnFBYnFBcoFRcoFRgoFRgoFhkpFhkpFxkpFxopFxopGBsqGhwrGx0sHB4tHR8tHiAuHyEuICIuIiQwJCYxJigzKSo1Ky03Li86MDE8MjQ/NTZBNzlEOTtGOz1IPD1JPD5KPT5LPT9LPT9MPT9MPT9MPT9NPj9NPj9NPkBNPkBNPkBNPkBNPkBNP0BNP0BNP0FNP0FNQEFNQUNOQkRPQ0VPREZQRUdRR0hRSElSSktTS0xUTE1UTk9UUFFVUlNWVVVXV1dYWVlZWlpaW1tbXFxcXV1dXl5eX19gYGFiYmJkYmNlY2RmZGRpZWVqZWZqZmdqZ2dqaGhraWlrbGxvb3BzcnJ2dXV5dnd8eHl+eXqAenuBfH2CfX6Efn+Ff4CGgIKIgoOJgoSKg4SLg4WMhIaNhIaOhYaOhYePhYePhYePhYeQhYeQhYeQhYeQhoeQhoeQhoiQhoiQhoiQhoiQhoiQhoiQhoiQh4iQh4mQh4mRiImRiIqRiYqRiouSioySjo+VkZKXlJWam5yfoKGjpKWnqKipq6ysrq6usLCwsbGxsrKysrKysrKysrKysrKysrKysrKysrKys7Ozs7Ozs7Ozs7OztbW1uLi4vb6+wsLDyMjJzc3O0dLT1tbX2trb39/f4uLi5eXl5ubm5ubm5ubm5+fn5+fn5+fn5+fn6Ojo6enp6enp6urq6urq6+vr6+vr7Ozs7e3t7e3t7u7u7u7u7+/v8PDw8fHx8/Pz9PT09fX19vb29vb29vb29vb29/f39/f39/f39/f39/f39/f3+Pj4+Pj4+Pj5+fn5+fn5+fn5+fn5+vr6+vr6+/v7+/v7+/v7+/v7+/v7/Pz8/Pz8/Pz8/Pz8/f39/f39/f39/f39/f39/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+Ms0yCP4A/wkcSLCgwYMIEypcqNCfP4YQI0qcSFGiposVEebbyLGjx48gQ4ocSbKkyZAE88WL166ly5cwY8qcSbOmzZs4X67cKLBdOXHegmobSrSo0aNIkypdyrQp06DexJVrx1NcxqtYJTLbypUZRXFU/0HLSraswa5dJ0JDl++fMrNwsXKScgUUWq4SlZWL9w9Z3L8UpcR6deUuXojIxMXLdwywY4gX2okLEczwVojHFDN+zDlhA4cNLB9WmHlx486oCX72F1q014WlN6eevboBGDOxYsm6yzD26dmoa3viZEbJkECyZEn0DTx17X+steVyMWSInojMm3eu7TAF6Gi7Wv5g1/xbu2Pu/rynh95gvGnznFeHcDij+8P2mMnD/xtM4OpdDj3jUCyguSfbfmR1QkUIcQSzmkMQRohfb/ohSBYVsTwTRwYPRiihgX5ZmBUUsgwYg4coTrhQYouFKOJVnLgwjEMzovghYnvl89qLV90RhTg2eijOBxExgw5f0NwCiyuusOLkk1BGKeWUVFZppZVZuMFQLitYySQst0ATljfMDBNMML+kqeaabLbp5ptwximnGZws5IkXcZ45DDPeLPZPPOigU86ghBZq6KGIJqrooowOOssItij0RCyNBurnPydlqummI2kyxDMIbeKGpjwCdkcMtBTUDiMZ1FKqiBucjBCHLLXEkokSb5T36n7VaBKFDVXMkSpWAQEAIfkEAREA/wAskgCtABYAHACnBAQJBgYLBwgOCAkQCgsTCwwVDA0WDQ4ZDg8bDxAdEBEfEBIhERIiERMiERMjERMkERMkERMkEhMkEhMlEhQlEhQlEhQkEhQkEhQkEhQkExQkExUkFBUkFBYjFRcjFhcjFxgjGBkjGRokGhskHB0kHR4lHx8mICEnIiMnJCUoJycpKSkqLCwsLS0tLi4uLy8vMDAwMTExMjIyMzMzNDQ0NTU1NjY2Nzc3ODg4OTk5Ojo6Ozs7PDw8PT09Pj4+Pz8/QEBAQUFBQkJDQ0NFRERHRUVIRkZJR0dKR0hLSElMSUlMSkpNS0tNTExOTU1OT09PUFBQUVFRUlJSU1NTVFRUVVVVVlZWV1dXWFhYWVlZWlpaW1tbXFxcXV1dXl5eX19fYGBhYWFhYmJiY2NjZGRkZWVmZmZnZ2doaGhoaWlpampqa2trbGxsbW1tbm5ub29wcHBycXFzcnJ1c3N2dHR3dHV3dXZ4dnZ4d3d5eXl5enp7e3t8fHx+fX1+fX5/fn+AgICAgYGBgoKCg4ODhISEhYWFhoaGh4eHiIiJiYmJioqKi4uLjIyMjY2Njo6Oj4+PkJCQkZGRkpKSk5OTlZWWl5eYmZmampucnJyenZ2fnp6hn5+ioKCjoaGkoaKloqOmo6Ono6SnpKSopKWopKWppaWppaappqaqpqeqpqerp6irqKirqKmsqamsqqqtq6yura2wr6+ysbGzs7O1tbW3t7e5ubq7u7y9vL2+vb6/vr7Avr/Bv7/Bv8DCwMDCwMHDwMHDwcHDwcLEwsLEwsPEwsPFw8TFw8TGxMXGx8fJysrMzM3O0dHT1NXW2NjZ29zd3t7g4eHi4+Pk5eXn6Ojp6enq6urr6+vs6+vs7Ozt7e3t7e3t7e3t7e3t7e3t7e3t7e3t7e3t7e3t7e3t7e3t7e3t7u7u7u7u7u7u7u7u7u7u7u7u7+/v7+/v8PDw8fHx8vLy8/Pz9PT19vb2+Pj4+fn5+/v7/Pz8/f39/f39/v7+/v7+/v7+/v7+/v7+Ms0yCP4A/wkcODCdwXQEEyoseHChQ4YNHy48iFDiwFNNrMiiaHGgiGC1rFAc+bDDvXoiqI1cqbCCP38VVspM6BKmTJYEa1YAY6aXsGM3ab6s8OqUmSFADh0DyjHnUH//KtCT1gIIEEJNBabTCfWEwArypq3I+m/r039e0X4lu1WgCKg4BKaNGZFaWZf/pkF9J3DX2oOqnIjQQ63mQ7oGfex6p8eDYYcVZkmeheTYy2A1XkJdWIGaZ2qvWlR7OVozZ3uo7f1LxKSe5tcJ64XgR3ugHjoJTQ+U9kK3wDegcr/298rMy4TMRjgTrhlJMoeXgPBdqAn3Q0EymCW8h8hDM4ugRhboSeYsGKUheLB1/DfPEpMeUPpoXxgQACH5BAERAP8ALJkAbwABAAoApwAAAAEBAQICAgMDAwQEBAUFBQYGBgcHBwoKCg0ODg8RERMWFhgcHBwhIR8kJCIoKCQrKyYtLScvLygwMCgxMSkxMSkyMikyMioyMioyMioyMioyMioyMioyMioyMioyMioyMioyMioyMioyMioyMioyMioyMioyMioyMisyMisyMisyMiwyMi0yMi4yMi8yMjAyMjAyMjEyMjEzMzEzMzIzMzIzMzIzMzIzMzIzMzIzMzIzMzIzMzIzMzIzMzIzMzIzMzIzMzIzMzIzMzIzMzIzMzIzMzIzMzIzMzMzMzMzMzMzMzMzMzMzMzMzMzM0NDQ0NDU1NTY2Njc4ODk6Ojw8PEBAQEVFRUpKSlBQUFVVVVtbW1xcXF1dXV5eXl9fX2BgYGFhYWJiYmNjY2RkZGVlZWZmZmdnZ2hoaGlpaWpqamtra2xsbG1tbW5ubm9vb3BwcHFxcXJycnNzc3R0dHV1dXZ2dnd3d3h4eHl5eXp6ent7e3x8fH19fX5+fn9/f4CAgIGBgYKCgoODg4SEhIWFhYaGhoeHh4iIiImJiYqKiouLi4yMjI2NjY6Ojo+Pj5CQkJGRkZKSkpOTk5SUlJWVlZaWlpeXl5iYmJmZmZqampubm5ycnJ2dnZ6enp+fn6CgoKGhoaKioqOjo6SkpKWlpaampqenp6ioqKmpqaqqqqurq6ysrK2tra6urq+vr7CwsLGxsbKysrOzs7S0tLW1tba2tre3t7i4uLm5ubq6uru7u7y8vL29vb6+vr+/v8DAwMHBwcLCwsPDw8TExMXFxcbGxsfHx8jIyMnJycrKysvLy8zMzM3Nzc7Ozs/Pz9DQ0NHR0dLS0tPT09TU1NXV1dbW1tfX19jY2NnZ2dra2tvb29zc3N3d3d7e3t/f3+Dg4OHh4eLi4uPj4+Tk5OXl5ebm5ufn5+jo6Onp6erq6uvr6+zs7O3t7e7u7u/v7/Dw8PHx8fLy8vPz8/T09PX19fb29vf39/j4+Pn5+fr6+vv7+/z8/P39/f7+/jLNMggMAJMkoYGiIA2BSQICACH5BAEIAP8ALIwApQAYABgApwAAAAEBAQICAgMDAwQEBAUFBQYGBgcHBwgICAkJCQoKCgsLCwwMDA0NDQ4ODg8PDxAQEBERERISEhMTExQUFBUVFRYWFhcXFxgYGBkZGRoaGhsbGxwcHB0dHR4eHh8fHyAgICEhISIiIiMjIyQkJCUlJSYmJicnJygoKCkpKSoqKisrKywsLC0tLS4uLi8vLzAwMDExMTIyMjMzMzQ0NDU1NTY2Njc3Nzg4ODk5OTo6Ojs7Ozw8PD09PT4+Pj8/P0BAQEFBQUJCQkNDQ0REREVFRUZGRkdHR0hISElJSUpKSktLS0xMTE1NTU5OTk9PT1BQUFFRUVJSUlNTU1RUVFVVVVZWVldXV1hYWFlZWVpaWltbW1xcXF1dXV5eXl9fX2BgYGFhYWJiYmNjY2RkZGVlZWhoYWpqXG5uVHFyTHR0RXZ3Pnh5OXp7NHt8L319LH5+KH5/Jn+AI3+AIYCBH4CBHoCBHIGCG4OCG4WDHIeFHImGHYuGHY2HHo+IH5GJIZSLI5aLJZiMKJuMKp6MLqOMMqeNNqyNOrKNP7eORLiORbqOR7uPSLyPSb2PSr2PSr6QS76QS8CTTMKUTcKVTcGUTsCTTr6QUL6RUb6RUr6RVL2SV72SWryTXbyUYLuUYrqVZbmYaLiXa7eYbreZcraadrOefLGigq+lh66ojK2qkKyslayumqyvn6yxpa2yrK+yrrGxsbKysrOzs7S0tLW1tba2tre3t7i4uLm5ubq6uru7u7y8vL29vb6+vr+/v8DAwMHBwcLCwsPDw8TExMXFxcbGxsfHx8jIyMzMy8/PzdTU0NjY09vb1d7e1+Hh2OPj2uXl2+bm3Ojo3erq3uvr3+zs4O/v3fDw2fHx1fLy0PPzyfX1wPf3ufj4svj4q/j4pPn5nfv7lPz8jf39if39h/39hfz8hfv7hPr6gvn5gfj4f/b2fvX2ffX2ffX2ffX2ffX2ffX1e/X1evP0d/H0c+7ycerububqbOPoauDkaNzgZdncYtfYXdncYTLNMgj+AP8JHPjvWjZv4MSJC/dN2zWCEAde40aunMWLFsl1exhRoKp+IEOKFJmqY7aKGFNiJLcN4jVy5mLKnEkzZjaJ49Dp3Mmz505yHLuxG0q0qFGj3/5ZO8q0Kbtr25xKJdoN3NSp4cJdnXpvHqV3W5miktqPkKF+Tuvs+7rvz5999SL90bOPnyGnq7zqm/Su3qS97/CYO6dHHlNxs/SGGtpPH6fAFvE09RZLL1+/jiGXk8wU279WbN3CfYwn8qFD+/bpGwpO4DWnpTeDPDRokCR9yAZqaxq7Nzp6fsRA5Ma0t8U9FqN03G3UeLk95LR1dP2taGw9Ft1wnO7am9bSCrkEbScYEAAh+QQBBgD/ACxSAGsAyQBUAKcAAAABAQECAgIDAwMEBAQFBQUGBgYHBwkJCQsKCg4MDBENDhQODxcPEBgQERoREhwREx4SFCATFCEUFSIVFiMVFyQWGCQXGSUYGSYZGicaHCcbHSgcHikdHyodHyoeICsfISwfISwgIi0gIi0gIi0hIy4hIy4iJC4iJC4jJS4kJS8kJi8lJy8mKC8nKTApKjAqKzEsLTEtLjIvMDIxMTMzMzQ2NjY3Nzc4ODg5OTo6Oz08PD89PUA9PkM+P0U/QEZAQUdAQUdBQkdCQ0hCQ0lDRElERUpERUpFRkpGR0tHSEtJSUxKS0xMTE1OTk5PT09QUFBRUVFSUlNTU1RXUllcUV1gT2FlTWVpTGlsS2xvSm92S3R7THiBTnyFUH+JUYGNU4SRVIiVWYqYXI2bXo+dX5CeYZGfZJOhaZShbZSidJWie5aigJehiJmhjZqgkpuflpykm5yooJuroputpJuupZuvpZuupZupo5yjoJ2fnp2enp2dnZ2dnZ2dnZ2dnZ2dnZ2dnZ2dnZ2dnZ2dnZ2dnZ2dnZ2dnZ2dnZ2dnZ2dnZ2dnZ2dnZ2dnZ2dnZ2dnZ2dnZ2dnZ2dnZ2dnZ2dnZ2dnZ2dnZ2dnZ2dnZ2dnZ2dnZ2dnZ2dnZ2enp6enp6enp6enp6enp6enp6enp6Toq6DqMZ3rdhssehns/BltPRktPVktPVktPVktPVktPVktPVktPVktfVktfVktfVktfVktfVktfVktfVktfVktfVktfVktfVktfVktfVktfVktfVquPJ2v++Fx+yQzuqZ0+ig1+el2uap3OWx3+W85OTD6OLJ6uPN6+PQ7OPS7ePV7eTY7eTb7eXg7efl7ejp7evs7e7t7e7t7e7t7e7t7e7t7e3t7e3t7e3t7e3t7e3t7e3t7e3t7e3u7u7u7u7u7u7w8PDx8fHz8/P19fX39/f4+Pj5+fn6+vr6+vr7+/v7+/v8/Pz8/Pz8/Pz8/f38/f39/v79/v7+/v7+/v7+/v79/v79/v79/v79/v7+/v4yzTII/gD/CRxIsKDBgwgTKiz4qaHDhxAjSpxIsaLFixgzatwIcaHHjyAVfgpJsqTJkyhTfhypsiVIli5jypxJ8yDMmjRv4tzJs2dCnT5TAiXoL6jRowr9KV3KdCjSkE4FFn1KFSnTq/6iVhWpsN/Wrz2xNgVLUqtXsmhlil2qNe1As27jplyrtG1cuHLzkqSbVS9CvH4DJ+Rr163WqYITFySs+G3SxpD/MYZ8OHLjyY0LW97smDLnzx41oxUN2jNljqhTq17NunXp17Bjy55Nu7bt27hz697Nu7fv38CDCx9OvLjx48iTK1/OvLnz59CjS59Ovbr169iza9/Ovbv37+DD/osfT768+fPo06tfz769+/fw48ufT7++/fv48+tvznc/Wr5M+bfVRgI+lc+BCCaoIIIFGhXPgxBGKKGE5eFi4YUYZqjhhhx26OGHIIboIXS4NDbOiSimqOKK45xU4nMvCsbijDSaFGNzN/pF444q2kiiYjwG2WJJOS5XZF5C8ugjjIpFM04ayiS54pLOHSmXKTvi0QQVdtRI5I+JzTAMlHbMIOY4ZmagjB1UeEmSlcjB6RaWUIYRpZ12UhDPOhlMMyOVOCpGpzKlnPjGMWlEI4FSErgZkpzGQYrWoHaOY2eii/rT6J9fMqnYmGuaOcyTijJqxRXJKBPliS6CmdiOXZlKgAcpVxDxQxuqtuopkDPGymg60sTwA0qSEldsWr0yqtQIjKZ0rHDPosWir/4wi5iuVW62YqYZKIXDtdgGytk4fo6T6TRKxRQtcOv61q67IsYr77y4+EAkvdAFBAAh+QQBEQD/ACzxAgYABAAGAKcAAAABAQECAgIDAwMEBAQFBQUGBgYHBwcICAgJCQkKCgoLCwsMDAwNDQ0ODg4PDw8QEBARERESEhITExMUFBQVFRUWFhYXFxcYGBgZGRkaGhoeHh4mJiY0NDRBQUFKSkpPT09SUlJUVFRVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVWVVVWVVVWVVVXVVVXVVVXVVVXVVVXVVVYVVVZVVVZVVVaVVVaVVVaVVVbVVVbVVVbVVVcVVVcVVVcVVVcVVVdVVVdVVVdVVVdVlZdVlZeVlZeVlZeVlZeVlZeVlZdVlZdVlZdVlZcVlZcVlZbVlZbVlZaVlZaVlZZV1dZV1dZWFhaWlpbW1tdXV1fX19hYWFjY2NmZmZqamptbW1wcHBzc3N0dHR1dXV2dnZ3d3d4eHh5eXl6enp7e3t8fHx9fX1+fn5/f3+AgICBgYGCgoKDg4OEhISFhYWGhoaHh4eIiIiJiYmKioqLi4uMjIyNjY2Ojo6Pj4+QkJCRkZGSkpKTk5OUlJSVlZWWlpaXl5eYmJiZmZmampqbm5ucnJydnZ2enp6fn5+goKChoaGioqKjo6OkpKSlpaWmpqanp6eoqKipqamqqqqrq6usrKytra2urq6vr6+wsLCxsbGysrKzs7O0tLS1tbW2tra3t7e4uLi5ubm6urq7u7u8vLy9vb2+vr6/v7/AwMDBwcHCwsLDw8PExMTFxcXGxsbHx8fIyMjJycnKysrLy8vMzMzNzc3Ozs7Pz8/Q0NDR0dHS0tLT09PU1NTV1dXW1tbX19fY2NjZ2dna2trb29vc3Nzd3d3e3t7f39/g4ODh4eHi4uLj4+Pk5OTl5eXm5ubn5+fo6Ojp6enq6urr6+vs7Ozt7e3u7u7v7+/w8PDx8fHy8vLz8/P09PT19fX29vb39/f4+Pj5+fn6+vr7+/v8/Pz9/f3+/v4yzTIIDwD/ARlIsKBBLgT/iRkYEAAh+QQBCAD/ACySALEAFgAvAKcGBgsHBw4JCRAKChELCxMMDBQNDRUODhYPDxcQEBkRERoSEhsTExwUFB0VFR4WFh8WFiAWFiAXFyEXFyEXFyIXFyIXFyIXFyIYGCIYGCMYGCMYGCMZGSMaGiQbGyUcHCYdHSceHigfHykgICohISsiIiwiIiwjIy0kJC0kJC4lJS4lJS8mJi8nJzAnJzAoKDEpKTIqKjIrKzMsLDQtLTQtLTQvLzYyMjkzNDo1NTw3Nz05OT86O0A8PEI9PkQ/P0ZAQUdBQklCQklCQ0lCQ0lDRElERElERUlFRkpGRkpHR0tISEtJSUxKSk1MTE5NTU9PT1BRUVFSUlJTU1NUVFRVVVVWVlZXV1dYWFhZWVlaWlpbW1tcXFxdXV1eXl5fX19gYGBhYWFiYmJjY2NkZGRlZWVmZmZnZ2doaGhpaWlqampra2tsbGxtbW1ubm5vb29wcHBxcXFycnJzc3N0dHR1dXV2dnZ3d3d4eHh5eXl6enp7e3t8fHx9fX1+fn5/f3+AgICBgYGCgoKDg4OEhISFhYWGhoaHh4eIiIiJiYmKioqLi4uMjIyNjY2Ojo6Pj4+QkJCRkZGSkpKTk5OUlJSVlZWWlpaXl5eYmJiZmZmampqbm5ucnJydnZ2enp6fn5+goKChoaGioqKjo6OkpKSlpaWoqKirq6utra6vr7Grsbils8GftcintsWxuMC5ub26ur+7u8C8vMG9vcK+vsO/v8S/v8XAwMXAwMbAwMbBwcfBwcfBwcfCwsjCwsjCw8jDw8nDxMnHxsnKyMnNysnRzsnU0MrX08va1czd183g2s/i3NHj3tPj39bk4Nnk4dzk4+Hl5eXm5ubn5+fo6Ojp6enp6enq6urr6+vr6+vs7Ozt7e3t7e3t7e3t7e3t7e3t7e3t7e7u7u7u7u7u7u7u7u7u7u7u7u7u7u7u7u7u7u/v7+/w8PHx8fLz8/T19fb39/j4+Pj4+Pn5+fn5+fr5+fr6+vr6+vr6+vv7+/z8/Pz8/P39/f39/f79/f4yzTII8gD/CRRorqC5gQgTKrTBqqDChwmVRTIIsaJEhxUhXjyY8eFGgxg7ghxJsSLJkyZPjkypsuTDliAVcoTp8h9NlANZ6dzJs+dOhNOCCh1KVCjCe0iTKl2aNKG/p1CjSn2qkGpHq079XdVaFetDrwihQgSblevAqFunkv06taPbt3Djyp0LUcMwugI1ELlLV8O/vX0FApbrVzBfuIUNx02s+C3jxh0f/6M3OKPkf+wq14VITbPCywKhEbE88J1gIqhHVyz8joCrf0VUOf7XetiMf9Buu9VQ+58TX75ldyRCgO+wF/+Q2aDrBNk/HHSjvRBTTGBAACH5BAEHAP8ALJwAzQAOACsApwAAAAEBAQMDBAUFBwcHCQkJDAsLDgwMEQ4OEw8PFBAQFhERGBISGRMTGhQUGxQUHBUVHRYWHhYWHxYWIBcXIBcXIRcXIRcXIRgYIhgYIhgYIhgYIhgYIhkZIhkZIhkZIhoaIhsbIxsbIxwcIx0dJB4eJB8fJSAgJSEhJiMjJyQkKCYmKSgoKyoqLCwsLS8vLzAwMDExMTIyMjMzMzQ0NDU1NTY2Njc3Nzg4ODk5OTo6Ojs7Ozw8PD09PT4+Pj8/QEBAQkFBQ0JCRUNDRUNERkRERkVFR0ZHR0hISElJSUpKSktLS0xMTE1NTU5OTk9PT1BQUFFRUVJSUlNTU1RUVFVVVVZWVldXV1hYWFlZWVpaWltbW1xcXF1dXV5eXl9fX2BgYGFhYWJiYmNjY2RkZGVlZWZmZmdnZ2hoaGlpaWpqamtra2xsbG1tbW5ubm9vb3BwcHFxcXJycnNzc3R0dHV1dXZ2dnd3d3h4eHl5eXp6ent7e3x8fH19fX5+fn9/f4CAgIGBgYKCgoODg4SEhIWFhYaGhoeHh4iIiImJiYqKiouLi4yMjI2NjY6Ojo+Pj5CQkJGRkZKSkpOTk5SUlJWVlZaWlpeXl5iYmJmZmZqampubm5ycnJ2dnZ6enp+fn6CgoKGhoaKioqOjo6SkpKWlpaampqenp6ioqKmpqaqqqqurq6ysrK2tra6urq+vr7CwsLGxsbOztLW1tre3uLi4urq6vLu7vby8vr29wL29wb6+wr+/w8DBxMHCxcLCxsPDx8PEx8TFyMXGycbHysfHysfIy8fIy8jIzMjJzMnJzMnKzcrLzsvMz83Nz87O0M/Q0tHR09LS1NPT1dTU1tXV19bW19bW19fX2NfX2NfX2djY2djY2tnZ2tra29ra29zc3d/f4OLi4+Xl5unp6ezs7PDw8PT09Pj4+Pv7+/z8/P39/f7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v///zLNMgi6AP35+0ewoEGCAgcePDhQ4EKDCh0+/KeQYkWGEC8W1CgR4sKOCD+C1IiwI8mSESdaDMkyocSIDkFStBiTY8KVI182PLmxoUqaPH8KHUq06EQNyYZqGJL0p4Z/TJ0SjHq0INWFT602PZhVK9aFVwl2LYgu7NiC5q6eLUiO6tqC4oaILXhu6pC7cv9lPXdg1j8isrj+45vMxT9xhg1qIPyPya/Gga0eaJqMxb9rL34yufZvxs9xLMQ8IxgQACH5BAEIAP8ALIgA5QAiAD4ApwAAAAEBAQICAgMDAwQEBAUFBgYGCAcHCQgICwkJDAoKDQsLDgsLDgwMDw0NEA4OEA8PERAQERISEhMTExQUFBUVFRYWFhcXFxgYGBkZGRoaGhsbGxwcHB0dHR4eHh8fHyAgICEhISIiIyQkJSUlJycnKioqLSwsMC0uMi8vNDExNjMzODU1Ojc3PDg5Pjo6QDs7Qjw8Qz09RD4+Rj4/Rz9ASD9ASEBBSUBBSkFCS0FCS0FCS0FCTEFCTEFCTEFCTEFCTEFCTEJCTEJDTUJDTEJDTEJDTEJDTEJDTEJDTEJDTEJDTEJDTENETUNETURETURFTUVGTUVGTkZHTkdIT0hJUElKUUpLUUxMUk1OU09PVFFRVVNTV1VVWFdXWllaXFxcXl9fYGJiYmNjY2RkZGVlZWZmZmdnZ2hoaGlpaWpqamtra2xsbG1tbW5ubm9vb3BwcHFxcXJycnNzc3R0dHV1dXZ2dnd3d3h4eHl5eXp6ent7e3x8fH19fX5+fn9/f4CAgIGBgYKCgoODg4SEhIWFhYaGhoeHh4iIiImJiYqKiouLi4yMjI2NjY6Ojo+Pj5CQkJGRkZKSkpOTk5SUlJWVlZaWlpeXl5iYmJmZmZqampubm5ycnJ2dnZ6enp+fn6CgoKGhoaKioqOjo6SkpKWlpaampqenp6ioqKmpqaqqqqurq6ysrK2tra6urq+vr7KysrS0tLa2t7i4ubq6u7u8vb29vr6+wL+/wcDBwsHBw8LCxMPExcTFx8XGyMbHycfIysjIy8jJy8nKzMnKzMrLzcvLzcvMzszNz83Nz83O0M7P0c/P0dDQ0tDR09HS09LS1NPT1dTU1tXV19XV19XV19bW19jY2dra3Nzc3d3d39/f4eHh4+Li5OTk5uXl5+bm6ejo6unp6+rq7Ozs7u7u8O/v8fDw8/Hx9PLy9fPz9fX19/b2+Pf3+fj4+vn5+/v7/Pv7/Pz8/f39/f39/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/jLNMgjoAP8JHEiwoMF//vwdXMhwYUKFDSMyVJhQosWCECtevAgRYceNDT9qBDkR40eSGA2OREnwpEeXKGE+ZNnS4cqYE2Fu7JjxoU6OAmfepElR6E+QPj0qpTlwptKhTJtSjGoTKtWrWLNq3cq1q9evYMOKHUu2rNmzaNOqXcuWKwZhXzEMgdsVw7+5dQXi3WpXL92sff1qDSwYK+HCVA//e7c3quJ/5xrTfPwvnGSUlP9xG+J44Dq9Q0JzZtp3HYNY/5ygvmrXtLATmmGzdv0Py67aq6MOYUBXmIl/1lJ0xWLt34qu30yIWXY1IAAh+QQBJgD/ACx3ABABHQAuAKcAAAABAQECAgIDAwMEBAQFBQUHBwkJCQwKCg4MDBANDREPDxMQEBURERYSEhgTExoUFBsVFR0WFh4WFh4WFh8XFyAXFyAXFyEYGCEYGCEYGCEYGCEZGSIZGSIZGSIaGiIbGyIbGyIcHCMeHiMfHyQgICQiIiUjIyYlJScnJykpKSsrKy0sLC4tLS4uLzExMTMzMzU1NTc2Nzk4ODs5OT06Oz87PEA8PUI9PkM+PkQ+P0U/QEY/QEdAQUdAQUhBQUhBQklBQklCQkpCQ0pCQ0pCQ0pDREtDREtEREtERUtERUxFRkxGRkxGR01HSE1ISU5JSk5KS09MTFBNTVFPT1JQUVNSUlRUVFZWV1dZWVlaWlpbW1tcXFxdXV1eXl5fX19gYGBhYWFiYmJjY2NkZGRlZWVmZmZnZ2doaGhpaWlqampra2tsbGxtbW1ubm5vb29wcHBxcXFycnJzc3N0dHR1dXV2dnZ3d3d4eHh5eXl6enp7e3t8fHx9fX1+fn5/f3+AgICBgYGCgoKDg4OEhISFhYWGhoaHh4eIiIiJiYmKioqLi4uMjIyNjY2Ojo6Pj4+QkJCRkZGSkpKTk5OUlJSVlZWWlpaXl5eYmJiZmZmampqbm5ucnJydnZ2enp6fn5+goKChoaGioqKjo6OkpKSlpaWmpqanp6eoqKipqamqqqqrq6usrKytra2urq6vr6+wsLCxsbGysrKzs7O0tLS1tbW3t7e6uru8vL6+vsC/v8LBwcPCwsXDw8bExMfFxcjGxsnHx8rIyMvKyszKys3Ly87Ly87MzM/MzM/MzM/NzdDNzdDNzdDNzdHOztHOztHOztHPz9HPz9LPz9LQ0NLQ0NPR0dPR0dTS0tTT09XU1NbV1dfW1tjX19nY2Nra2tvc3N3e3t7g4ODi4uLm5ubo6Ojs7Ozv7+/y8vL09PT29vb4+Pj6+vr7+/v8/Pz9/f3+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v4yzTII1gD/CRxIsKBAf/4MKlxoEGFChhAb/kMYseLBgw8tMsxIUePCjBNBehwosuNIkg1FelTp8OTFlCorxgw5c+PGmh9R0jSp8WFLniMTOhSKE+LQkEhdtkQK1CXGiU5hFo1KtarVq1izat2qUIMwrRqIfMWq4Z9YsgLPWi2bdixVtm2rwo0bdS5dl3b/sVN7Mu8/dHw9+v1XLrDFwf/GEek7MF1aIpAXj2SbLgGtf0dm1f1XWRiLxJ+dauj8Twqv0ppdEkkwVpiKf9xcYJXC7R8MrORUiHnmNCAAIfkEASgA/wAsdwArAQwAFQCnAAAAAQEBAgICAwMDBAQEBQUFBgYGBwcHCAgICQkJCgoKCwsMDAwMDQ0NDg4ODw8PEBAQEREREhISExMTFBQUFRUVFhYWFxcXGBgZGRkZGhoaGxsbHBwcHR0dHh4eHx8fICAgISEhIiIiIyMjJCQkJSUlJiYmJycnKCgoKSkpKioqKysrLCwtLS0tLi4uLy8vMDAwMTExMjIyMzMzNTU1NjY4ODk7Ojs+PD1BPT5DPj9FP0BHQEFJQUFKQUJKQUJLQUJLQUJMQkJMQkNMQkNMQkNMQkNMQkNMQ0RLRERLREVMRUZMR0dMSElNSkpNTExPTU1PT09QUVFSU1NTVFRUVVVVVlZWV1dXWFhYWVlZWlpaW1tbXFxcXV1dXl5eX19fYGBgYWFhYmJiY2NjZGRkZWVlZmZmZ2dnaGhoaWlpampqa2trbGxsbW1tbm5ub29vcHBwcXFxcnJyc3NzdHR0dXV1dnZ2d3d3eHh4eXl5enp6e3t7fHx8fX19fn5+f39/gICAgYGBgoKCg4ODhISEhYWFhoaGh4eHiIiIiYmJioqKi4uLjIyMjY2Njo6Oj4+PkJCQkZGRkpKSk5OTlJSUlZWVlpaWl5eXmJiYmZmZmpqam5ubnJycnZ2dnp6en5+foKCgoaGhoqKio6OjpKSkpaWlpqamp6enqKioqampqqqqq6urrKysra2trq6ur6+vsLCwsbGxsrKzs7O0tLS0tra3uLi5urq7vLy9vb6/v8DBwcHDwsPEw8TGxcXHxcbIxsfJxsfKx8jKx8jLx8jLx8jLx8jLx8jLyMjLyMnLyMnLyMnLyMnMyMnMyMnMyMnMycrMycrNysvNy8zOzM3Pzs7Q0NDR1NXW3t7f6uvr8vL09/f4+vr7/f39/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/////v7+/v7+////Ms0yCHgA9+37R7CgQYEDDSpkJlChwSIMEzr8B7HhRIoRL2K0OLGiRIceNYacyG2kQ20VDxIUmO0fs4II/zXEVmTlvm0Di+jUKfPmAlr7kMxKiMEnMxb7sCEliGHbgpdPeO17MotgkacEmaHYd83FxSfX/s24mA2FmGoEAwIAIfkEASAA/wAsSwEGAKoBxQGn/QAA/QAA/QAA/AIC+gUE+AcI9woM+hAR/RgY+xsa+x8d+iEh+CQk9Cgo5C4w3Dc16Tw+9kRG+EpM+FFT91pb+Wdo+3Jy/Hl5+n5++oKC/IaG+oiI6Y2MzJSSsZuaopydnZyamJeYlZaTkZKRjY6NioqIhImEgYh9fIp7eI12c5Vyb6RsarBpZK9kYq5gYapdYaVZZZtTaJBLa4tJZ4pCZIo+WY85U5I3S5Y4RZk4Ppo2NZkwMJUpJooeIn0YFVsPEDULCxcHBwoMCgsMDxARGhoaJiYmMTExOjo6P0BAP0dHSE1TTFVdTGNpO3p8K4+TEqSpCLC0BLa6A7m8Ary+Ab6/AL6/Ab6/A7+/CL/AFb7DIbrFK7XGK6fIKpLJJHbPHU3VFindDxnjCQ7iCwbgAwPlAgLrAQH2AAD+AAD+AQH+BQT8DQv7FhX5HRv4JiL2LSj2MivzOC3vPivoRjPmTzPcV0HdX0fXZ0zVbVHWcE/Tc0zRfkrLjELAmDKvpyaksSCevSWowSGuwx61wxq9xBnDxRvExiDGxyrHyDLIyDTIxjvGxELCw0vGxVTKy1zP0GLU02bW1WvX2HDa23bc3X7e237e1X/fzIPhwYflto/qp5XvoZjxoJvuo6LgqKvOsLK8srG3tLG1srGzsLGxr7Cvr6+usq6tv6ur06uq5Kem8aWk+qOi/KKi/aSk/qen/qqq/q+v/rCw/rKy/rS0/ba3/bu8/cDA/sbH/cvO/M3V+Mrb8sHk7LTq66/q7LPr67js48Lp2srn28/i2tDc19LX1NPU0dPQytjKydXJx9HIxcrKxMbLw8TJw8PHw8TLvcbUsM/WpdrYr+Xgu+jhyuvj1+ne2+bd3Obc3ebd3ujf4erh4+zk5u7p6e3s6uvu7Ojw8eLz9OD09+P0++jw/ert/ert++zw+e/z9/H1+PL2+PT3+fb4+ff5+/f5+/n6+/r7/Pv8/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+Ms0yCP4A/wkcSLCgwYMIEypcyLChw4cQI0qcSLGixYsYM2rcyDHip27rOoocSbKkyZMoU6pcyRKhl3YwW8qcSbOmzZs4c0b0BLOdzp9AgwodSvQnz5hFkypdyrSp039NqiF9SrWq1atYLTYBcSqr169gw4odS7as2bNo06pdy7at27dw48qdS7eu3bt48+rdy7ev37+AAwseTLiw4cOIEytezLix48eQI0ueTLmy5cuYM2vezLmz58+gQ4seTbq06dOoU6tezbq169ewY8ueTbu27du4c+vezbu379/AgwsfTry48ePIkytfzry58+fQo0ufTr269evYs2vfzr279+/gw/6LH0++vPnz6NOrX8++vfv38OPLn0+/vv37+PPr38+/v///AAYo4IAEFmjggQgmqOCCDDbo4IMQRijhhBRWaOGFGGao4YYcdujhhyCGKOKIJJZo4okopqjiiiy26OKLMMYo44w01mjjjTjmqOOOPPbo449ABinkkEQWaeSRSCap5JJMNunkk1BGKeWUVFZp5ZVYZqnlllx26eWXYIYp5phklmnmmWimmRYXWWSBRZtbsNMZOrBIEEEr5rTIxRVW9GlFFuyw2Sac3ZTkz6GI+lOMN4kiOhY6GhgwgAAFVJAnOrFMIAGeJzXqj0Ce0renn39GswWffmZRjaCDalFNRv6eKspoqGLZAsGkAgjAAAfjbCAppZYa6uk3xsQ636mkUvGFFKRaQYUXWqDaJxbOYOTMtdheC0q22Y6FAQK55moAIHM8EK4AC2BQErfYisJutfKNmuonyPqpbBTNYlENPqy26SpCsQa8aMABW2Urrro6wogB5xoQSCa8yDLBnXnCOmyxtMYnb5+AbvznqtI6+8UXUVRBqqoAE9zowCo3ahWkv1Zqzi23hjuuGYAUkGsBFFRcEcHEFqxxm1PAGWjIqnqcRR544HvyqoP6W03LibJM9aFX0Wknp+j4Omml46jiwLkNtGKRykELHV8kjIwzkKBFZ7FFN0q/ygUWyXqxBf7eqU59tazGqg0WpppyGosCDT8gDD4TtQyqymu3XVAkhYjzNtFS/3N3siQ3q6rQiRIU+uPGonVLBAiP28YexdAy8QY+H1S6Q4Knx7bbBFFuOUG+GOKLO2/zzTE1dYPu6ECj/wP5WV3HTEEwfJCR8849p5wx7bPbLnnulRfU+++Xx52Fq5vb60UXUReUvPLHs//3o7NMzCk+tTiAcNnWuwxR7efdPnn3vPMd8AZCjkRAYncHwULnTkYN0n0Kee0jnQP1l5ZZLOBcB7hA/tbXEP6Zx3/cQ6BAvjdAgRTwgOFrFfFMlqoGuu+BDlQf1iYYwbPgAnU264A6ZJe9Dvawf/7bG4juvCdAgpwQgYdaBCLEgajyTWsa8Hih6GrYPg+SZR2tOMCkCAAIMtghGLV4nTkIFhErkgeEQgTgQEhoRAPuDlFKZOKhnOgsL0AhauODFwer+EOzrMN1EdjALjwhvQJ8bQJjvN5D+lgeNApkiAEEHwHd+MI4NlF4VsDC+TynRyrO8IUUdEs8VPEAhDGgFZ+0WCqBiLs0ivAfbJzkARtlyUNJQwtZiBv5MJmFTq6Sj2ZESy0uGK4DWACGGuHgB4P4SDWOsIiylOMqFUJHLIAihlNEpvtACZdc4DBXp9SmKsV5Rmb+A5JrhKbyjljDhdDxWeiLmhZcuM1sgjKUZ/5hRxa/9oBMMK4j+CxnK5v5yliu043tpCYmNQmFfE0Dgto8HhnXwo4wRoACdXiDJ+QhEmWOx5HndCYs1ekPdk5TIbfMpb9AwQUWPhGiMoRhMMmCKGHcoQ15kBNAExoekKLzmZI86CxPupBKFKIXD6zmQyVoTxoSlaaNCoYeyPCH15UjmYoEj09FatCSIvSpCTEqUgWi1HgwFaZOJSdUPTUMCjCMUhO4KkZmmp2tFhSahzKpWhUi1qRi8lmeAEc90XpPsIYlYN481wLMNldGcseuRAQfovQqkb6SFZe69MIX7ijPpQIzoGUJ2C0YgEELjNOj3YFsJIE3WYxYdiDASP4EJdwWD090waFndapaEPtNdG3gtDx9rDl/OtLfJYocrj0qMmM724FIY6Ge/aVjwRIwfWqRUg/gww4vQlfsqDadxg0uRF4rEOa28rmkwkJ0I4o11FK3dOywBQUigIHo5bSx7hXuQEN61/DuNSLk/Yd5nQtdxnnygfnNSoLBkQcy5MGs4yRPIxYBr4E0ghCoKIgjCJEJbG1kwx0mSCb+4YgKv9MLIegWQTz8D26FVrwD+UYexvCH+W5ArhRJcF2Hq8ZDkdCw41UuQQYskJS2yo7iG996IQpaq+hYIMIAxFsLIIFdnA3G3uUxEv3x4/8CWMiwle1+CxKOlqZ3yWkNi/6KGZIKCJwrARWwyJq1qmUIdnkjASZyQtDrJ/WetbtLebJARotBCnAXyNf5ro8FiGiH5FnMC+HzSwcLaKUI+h+6kADCFJCBQzeaOormMqO9HOSxhrm5KIXun6fblEv/gx2uuG4BIBAMT5PaOqG+s0Yejeo9/9UL0IjHZ11NFGKz4xYUgEAX8XAMW/e0zu7TdUZ4PeaCpDSznG3VNCpdbCwrJBwN7oOz6bxfSCLKFyShtkSGwQXcFlbB3lbIMPDwBk14+tnl7h6xS71cSEtE0plcb5OZsu+C4CMYc5BDrX8Wb+lAtuCOBnN5/R0RgPu5sLceCsQL8o0QeLHa2Pt0dP7suvGGqPvfqsZ4xoGS1Yk8QxN1eEAENIDj/Q0c1FouOUNOXvG/SmOHodO5TLiNkGO8wpCUikDNfdjy6pBc5BPhOUSuTTQvBHZ0QmcJ0Q+SCk2HSwG/tXnTcd7KQ+mu4RSRekXA8QkvJFkL2956S+RekA6QtphxFvvNHR5Es1cO7VGXuIApfpF0RMOlAce4pVndkK4jLAFhXyTjoYNGv0vzJGq3iMUfSveVdH4gx4CFrPtZxsk/p/L+ODvUKyt4PWNk84pPiukZ4g5kX7QOCi991omDetWvPO2tJ/xFYP95lOweIfH4hRe3q/fU9j31f1/9l0098V6/3uftKH6nAP4vkXR0Ygx8aBz3ldP76P8+8NQfvPWHj9mqe0Ids5/J+CUSjD3AARMSOX5wQIioSLAk8xsRDnrwBZ6QDnt3E/qXEAc3B3QAcgoxf8jBf2b3f8G3fh0RDm2HR3BXFAmYEOmwCWTgB/OVAUuXEB3YG/5zgnwleKEgfCIBDofXJ09wBEJgBCLwDQfRBExQBESgBKIQRYjiDEpwBKLwKcVwAkcwBEzADaaAXyzxDVK2RUrHdOdHfpKjgmHFgi4oEug1g0rwBE5wBCIQRQQxAkXABM6wDE3gg+zDDSlgBEtQhP9gDCNAAkywhE14ZdJXEbowAW8WeQsBgcYxYS7WEiBWYf7/EAIkhogksTlMkARQgAVcwARK8AEF0QRH8AGfIgpMAAIC0Q4koAInwARFiCjgkAJ4OG4qkQsN0DB5xxBYmBu3E4sIEWAtaIEioQRQEAVKwARRoF4iwATXVIZFoALcIIRE0AQCUQo6aATJ6D6nmIp62BJ9+HiA+ICCyHttk43Al3636IAbwQVUAAVJ0ARSoF4fwASkUBAgsIZCIARHYAok8A/HoIMm0ARLsATQiIpMqIdVeBHuEAvXRQBTGHLaMYt7eBG2uIUdcUvkaI5T0AUmwASjUBAjYARMEAIqcARL0AT3qALOEIz5+DjR2I8Ml5AV4Q64QAEOAAjiJnkoOf4cCEkTC4mLI9EISZAC3eAJX5CPoKANBZEEw2iHR6ACSvCOSCkEKcBR/1CSeZhjMXkR4LAHb4B/IfePxGF22xiV6IdM36gSj3CHyxAPn3AEupgFBHECSeAM1/APJcAERlACx2AM7bgESYAE8ygQp1gESHAEFTFnMuEMn0AGdcCICsFi1aGV48CNXUkQX6kSfoAETeAMJXAETkAFBVECZwgKb4gESQAqlKkCS6AEn6gNzoCPoJCX4seVFvGBbhB+V2kdismYrOeNDDkSkPABSkAERuAE+MKO+EgEQ8CbKSAQopAOIeCMTCAQx8AESVkEJ5kTwYAHcSAMsZmYqbeVWP6pkBUIjm5Biw4hD8HgRRAWiLTJG7PJmtPXbzYJF+DpEOHgCW4wYkwnm9m5mOrJb7zzmXcxdjIxDHVQBxNDgtj4nq6RnttpEXkWCI5gDHWhfRqRDqvwVgQAASWYZgQCgN8ZfyZRjeGCABqwQeepHhraFhCaEbrQijZjaDzkn/tRomxxohjhobkCoiKan+kBo2showBJCwNpoTeaoO+hozt6gCyhkizpkgU6oiTanXbBpBfIB2+AbktqIESaFgZKEfggDORZpQVypWiRpRQRn/NpnkI6pE5KF2JKEQA6B8hlglB6HmB6FnEqEuugCa/ppQMypy+GoyURDtRpnXB6pv7twadrRagpEQ/juQd6GiCGOhZ1ShLhwAdzAAEQgAEluKbb8aiHFakj4Q608CsVmql+ah6HKGKLOBeaahHlMAEIgwCdFlMZmqZxsap8qKLUYxC2eh2c+l6IuhKt+qohGlO/ih696hW7ShHvUAs/eqGeGh7HCm+lehLvkAtJ+pK6+qzfEa1Yoa0mAahwsHDEKiDcahWASRWCSQZ4cBDnyh/lWhXJmhGT+gaCKquOSqsbOq0rIQ9cuq7Zqq/g8a5U4a0oMaluYJXZVKzlIbBOEa8asaVkcAdM2VT/wbCtRrAFKwllaq8Vi68xirEoMQxzUAfliU3+YbEEB7AykQ7ySf6fTAYgKCt7RuoU4fAHgAABFyBXLjofMdttO9sU8GALotoA5cCj0OqxYcqhRRGsxYQBRhuwSEunSksUKXouBTABT7utUWsWWTsTTJsrB5ABXdsdPatxUzsUQTuQRDu23FG2ZuuwHAEP1toAgFAH6XBPJ7u1XKuyN3GnbeAIL9sfbhsUcGsS4lAHc3C3uaUfg8tyIDsTfgu4Jsu4enuoa3G4iTu5+XGqAzFiJWaifJsT7OAJf6u5+NG4OlG4KHG4cqC4j0sdqJsTqnsS7KAJpTtYlJt+rpe0oasTrHu3s4scsYsTr2sTo1u6wXscw2sTyXsSNXuzOdu71rG8NdG8Jf4BD7cwtEXrrpXbqdKbE+VAAQiTQd87HdRLE8VrE+WAq5QiAeUrHecbmIjZFqhQM+JCAdfyot37FdZ7vbcwkAxQtArrHfE7d+lrE/GQCxVAtxJ7wM1RwFr3vkDBsm2QCQ7MHBCsEtlwwTghDoTJwcqRwSmxwRI8wXzQBphQws4hwihBwgNMFfjgwXcAwsK7v1lBwk/qDSpABEKwBBtsEEpgAkYwBEaAAj4BD6KgBEUwBHL4D/BgCrspBMcgU/4QD0f5lM/BwibBDThcF9/whh7Hlz5BEN5gBEVgCthgCkXsxP9wAh/AxFgDDx9gAiIgxe3lD/hAAlcMvzZ8FVyswv46kQ1GAAKTWgZFsI4E0Q1n+CnpgI8E8Q1w/CmHgg/FYMeSjA/HUATcIARYvMJ9bBV//MJOAQ/OUATGwK9kYAQnMMYCUcZGcAzxcAxHoJr/AMmlyD6UbMmHkg5GQArywMl8rLu3+RV/bBftYApFwCjg0AdD0ASs/A/eEMRImQII5g+2LFO5PMXKEw9NoIy/3MkP/MlVUcx1cczJXMXE0MPP/A1HYAQfcAwfYASqac2RjMuVPMWfosZ3+83BzJ7e2a3kTBekbMqHwg1FYAThUBBFcAKfKAJFMLHXLMl4fM+Hws1J+Y79PGTD3K3+EMp2Icgg4A/yYAxCQAYPQBAGbf4Cn9IOIVAE5RnRiJLNk9wNxlDTxyAEI8DH6OYOxvAN7uALiTAJr+SroSzKTfHFRuAuSmwABaHIZ3wNaqyM+AAOx+AMOH0M3PAP+OANx2AKnHwMhZIo/DwdhFDWZl3WUtvRLvygOkwEPahpHKcEb0jEKSBY8DAKF62M8BACF20CpDPW0KEwjpAJhE3Ygu2yYoEoRf0lKzMrgCwsak3DarJTkf3Yk00SBd3Fl73ZnN3Znv3ZoB3aoj3a+QHFSGAKOoUPJqAESbAMZLgSzsAESHCDh2IMS3AESQACOKgSF7kE1RLTo/CIIqC4E2EMKYAEKUAMoPmIJrDbK8ENJoAETP6Az99wkeVYDM+NBPL8Qt/QBEmwBFmtG+mgBNkQzUDZYk1wjOnNEo3sDN3tDPjgD8ZwAs3WEt/gDCTw24dCDCVACtdQAqVAESxdAukgAiXAUdswAh+Q4Ja4EkjcBOsgCk0gD9b8ASUgE/BQDCAwj4hyzM5MCsqoG86QAt4AFc4QRSTwAemAD0qADSyxDCfgoCdgCiFh20fABGP54vn9OKIwAsWQxyJAEdogAk1oCiWAg/g9xR/A0CvxDR8Q5MtgjLV8kUpAAs+MEumw4SR5AhXZDUiwG6VwAjioAqLgEyhA4/6gBG0J2yWA3SXwATjIDusQDx+AAg66Esuw4+xjCv4jAJQlEOQTUQwjIAr/IAolAJSg0Ob+sOQswQ0hYInHkALYDQ/p0A7YgAINrhJZnpeH8g0g+Q9evhsjziiTCQ/+kOIr3uIvHuNtTOPusw0pYJgmkeed1OM/TgKALhFDbgr+YOTf4A9JvuhMrhJODuVSjijrQAoowN5azj7gwOWg/uXiTd7foATnfZrcwAzrvRLtDQ6TGd/rYOqigAL1rRK0/jjFUAKjgA0lAM4OMeDIeeD/oA0Kzg0j4IkOLuERPuH+AA/r4A/b8OfMzun+cMwq0A6jEOK6YdqmsA1irtqs7dotAQqyLQLEMALGIApLgARKAApXbhIfkARGEI/p8P4B8E0Kwi1YFGEMKoAEKnAMo8DrsZ0EJlDijR7dOM4MIrANKOCZKUDcKOENcImR8XCE1uzd4E3aSr/0TN/0Tv/0UB/1Uj/1VF/1Vn/1WJ/1Wr/1XN/1FwIOnBAHdyAMrw0a7uAKGxAS6Bs0+QEOcLAGaKAGbAANUQT2cjD2ZT8StPKzWXE6DRALBOEOsKAB6JAS1lws+cEJbIAGjK8GcuAJn/D2cT/3dc8Jdy8M74BVjX22SaEMMjADoA/6NPAAFVAoN9QAsEDZEt3pGHPHlh0ccgD3jD/7tM/4bXAHeOAGcC/3niDrEfEuzrAtwF+IWTECOsADyJ/8PLADOoADNv5QA5//ABNQkc7AARXg+w0x/M7gLsAfH4o/+47vCXEg+41f+3EvB8aQC7kADHlw+R+fsCpjNVSTFdegAjNQAicQ+jIgAzVgAzhw/ADBg4eOGzVmQHDw6t9Chg0dMvQXUeLEiN+MUcQY8eFGjh09fgQZUuRIkiVNnkR5EhycNWjWsIEGj1MbNDXV2PFFp2XNmmvEzCHTUg2bTe04ZkRazBtSpCmdPmXYjcULVRVaxarAwYUODxAIOJgxo8YNHQJ12JiRQlm3f+5kYUB3lKlEi3MnQsWbV+9evn3xgssz544weP/AxREKU2YbNTbj2JGz0ybOXMDyyLEDzajdiUo5M/71G/qf1BfcGlpzkaODVVlZWfj4YbAGjh0DbajwIKGBq4afJfb2rVH0cOLFjRPXpSCWO4aABRM2HBnNUGjv/t1hw9PlHEBkzkwn2i74QozkPx/HS9o0Q9Q5kDXE1mJHVwIFGlCQYSMHjx03ZjwggAK2gvMHuPHQQzBBBRd0KLnlGpolgQ3OaS6wO4Kx7p+ZGgNvDQ4n8yUXEXVhBzSIfjOPMwZPUu+01N5jKD4dVmuFFqu4ee0GGWjrj4YVunmHlgvQuetE4VIs0MCmVmSySSdTcpA5hiKcsCFaFNDAnOakG2qTb3TSjowHBCBTgFZKTLJIJI2060mRWmTvRfha0P4BRoa0YWGHDyAw4IEZeLThBAgaaEXNfww19NA23WS0UUejhFBCChm6MsuGnKsjGKM4ceNDNejwpJjA7HAIURSRnMvRjuBcqD07/5Hx1X/wnNGqWiqwYAQa9suhBgAn6CbJNdksdVFVj0UWQUinlNRKLLVsqBYGMoB2ocTiYEyNxro0StEjvRV2TROTXYjVf1yds06HaH0VRx98oOGGHXawAYcc2CI2XzaXJLdff/dadiEqJ12o0moXkpZa8jAFph12sOPpU2NEzEWXdcJNtMjzjjUX3RjplJVdiLZhgYc9+6RBh/5WwKYWC4g8FdxihSvvX5tvRingfwZ21tJop/6FNiJbGsCgnIjyyI4nMwAhoMxW1lFy5jQ3drRjOT9WtyGRFSVZB1Qq2OBW/GjDoQYICo0547QTxblttx/SmWdKn3UoYS0lGrroiDj90CVQR4WGHX2H9Y3jqdZr9eqFYl2XhTon6vrVb0iAl7ZeFQAW45hl3nfztz+/Oe5m5/aZIbsnyttof8DRSVs2OLGDpm1fN2bYfEFj+0mr3Us3ZMeRgfz3hqSC7YGxdsjhhhgQ53xwfkGH/l/RqyT94H9Ox5tooxfCVDMNabKJDlJuGZFIqTvPyPDSXOQda98flyjyh0yOgAAFjsdhhW1uhfnb5sFNX/QEiKzpEewfBqsb0P5+kzqPIE07ZhiT0+ISNfRRRH3M89jiQNY4+EVEfg9BBQU2YIsKVEAFtCnIAtDmP1OlaoAvZFQBe3Ywf2BvIQzsCN+0I4Y8HGNUmhCc81RUtcOx71WM09rvgieSdojABzXIwQ58RYAIcCNc/xsiDLXIJBlW70Q2/AcOOQIOO3hoKHZgiRmH0okgYvE343LT7o64wSR20B/bGAnxfqCElJ3FBzpgnhtduEVCKqiLBaObebAntH8U7SPg6MQc6hA4Y9ghadOhAyYoVjHz3S6LK5Jj73qzNZTwAAQR6JMNkLeC2lGQcBYsZCzRc8gDJlJRi/SHGEcCMZ6IqUxk2sAEX/75yQWF0n2jFJ5TQpiB1dCANjX4wC1eJkhhwVKW1xwOLRGoSAVmDyWdeMOH2qAJis3iH6XjXOGYZEwNZk1RpMRLO05hAx3ooAaEoqaSrohNfuZFm4mUCBidIowyastDbMhDOP6hiwigU2MBzB2C2AkrOkoEnlBpRwh+8ABV2gBAEDiGFV0JwH6WVC//tNRETpeXb0SyDpoQBh3YEIdOcKIOL22jmiDquQRNNFYUuehTunGC4kGxP+/aAfNaaE2TNrUkKL1bQIEmmnjwbXacgBo138hTiRYxTu1rJ/AmElSo9OCUX1HlDeRljZE+z6lvBQlUKWI34nAqYpmkmC46if6qAILSq4kDK0Xt6A9t/MOdewnhBm5RgV3pAAbJaOsg4TpZuClHSgIbHSKzdBe6DseBvYwgMIUJwL4yyKcgA2oyh9OOZXT0A7iowDmW6lbKUlauwumsaDgRTp64gZy5MKfCiFXaYv71XIoTrFgtygL0tKMUONBBryQ0W+LWdrKpQAAHnNEQDhygAqLgLgK+64ztLqQDCfgucUABJjV4SAx7cEYqIJBehpCXvP+wb36bNAoY5KAUDXnuDkAAYByYMr/lRY8zVrBRedXgAANwQCkQjN8DV9i6Fz6kPwx2pNyKpqU31UQn4MAGO+ThppvIajprZlrjZjC5+0SPN0xQ1P7+1MAHPFAqilZ84cl2MSIbFlaHjxMOS141qw/dcU9bjNyfNsmsEuhTDgjCA7bqi6k8fquPNfysuf5DuAkC510zkddOqtM4pz3sik4hwsXKKwancOWVsdxULQNZql9G0EzCBIhfamBSByoOO/2BxEZlQwb9AUEuYrvUOffYspGi3o+5rFIGrAicH/KtiGjRyKCZmTiCJjSjnIu8HDwAARuYbaOz/GhmRXrLm4XxgsBxBzN6KA6biEc5JoCBTq84on0xZkRC7aZ2fMAHHJUiAQYAgW1o7teqLqQMJbLhRkHyxCJuAydsWgcU87WaXAX2kt0zkWE/yRsloHENfnBjPP5WENr9lLak0XksYUTGyN623afFrdxB01FVPRDBBAxQAx3g4AZU1ie43w3DAk5km+TabcTkMOYRyfYuz96LHMntb1WtWbG72gEMquxtjC8cdA2fti2Tpede8rlMGbC4RkqeF41LpNzHSkeAV5BiYpp8gCgv0MNXDocPTVzT/7iA6qobmpoLuwU4c66bqxJzOPr856zG7IR+I3RkzZoN2kLD69LxD10nnbT+E03TB9025/rg0DVgAKqNZfWrP6jVFtes9breiZt2Qg4IBUfZy4HvM+8b7TZr+wEeYE8DDKABzeYr3RmOdX8MTFhc/xeRSWxibqvj7LHmi8ZB1w7Kbf70Aclbdw/anWTJn5zVEbF8kjD/r3Qg7aqep2241/dV4EUP4BP4Cllu0IORy7n1b1sW7CXl8HPq3WacgIPEKV5xjGgjkDTf9wDXrAFcUECVMij+zI/fr+RXfvkpn/fNWF4TMri8TBegOmFFGvq/+sPFA4zHMeQFA54rfPzSez3z07qUgx7oK7rfyoVakAALULqIsD7QSwlWsT/keqF2SAY3uwUKiL//cz27U74BfCHA+LrGyDY0KQcKYECaeUDdW4+IuL8BajtVqoFTMz4OBEAPFEDZ0iJrq4PLyLZ08IcTTEGIWEH62z0XpEAYLAUfUDweqIECcDxt8D8bPBZIkf4IuYmlmHqdbxDC7SGPIsy4IpKIFxSgJnqXB3gAHrCBJPCBHpBCCKTCKny0K8ysWBIHS7oDvuu8NAFDvVCPiSDDAfq9AkjDG7CBc6nBOHwUy5oILJSlWVOj1/G8Q+lD7CsNQExCGFqzDLiF0yuL//oHIRACJNgIJBAChhgCU/CWb1gIIiiQdBBFUSwCOFREk4iSRqxDWQozm5ADBKyFYqBFk/jDMcxEQvIGEsiBHlgIISACZjQF1mIIbjhFITACUSQCRfmGIThFV/wHWJzGWazFvcAu7bKvf+gu+sKmPAAf9nM/AaAA8OIL/vKv/AqwAesnUZABHxCCInAGUViCff7sxwkDR29gxkNhBxSIRW48lHaoRnAMR39iRI1wRFnaBKLjxd9SwOG4RGJsqiIgBVEMAhXQhQfYR9YKF2r8hmq8Rn8gSCL4BmYskIhgyH0MxocMiVtMkol8mwoogSVIgg8YuxtKASRIAhK4AzKIxTuAhmVogiMoggrYhRFIAiMYAhXIhhQwAiQwAhKQB21AASNQAlMwgSNIAiQ4ghGIB1LwSYfYSBd0qhL4SCEAAhwAkJJchiTxBlIUxX/gRoJMRVY8kZl0SJt8CpzMOgP6HAloAmcohhMABYY4gRHghmUwAVAwASOoAzpoAzpgghHYBQpYgrv0hxA4ghDAB6bUyv4TMAUmAAFRYIJ/OIFmcwYTcIZjKAF4bIiNnKx2iMshEIABEAAhGAIGIIWTZMZT/IdvOAJq9AdWdEWJEMyaJEyPuMW7EyAHKIFswAcU+ACG8IAQwAZQKIFlGIEiKIImuIM2EAMS0AUmYAJg9IcS+AdmYIh0CIEPOIYTYAIlOIHCWogQOIF0GAUS2AZVZIjDkU5CKoIQEMUhcICmEcU29M+HYEZjmMZY/IchIAaZbMjDm06R8IfqPMzrJAEr4k6GuIUmMAIjAIF2wIUImAAmKIE8EAPhJII52AQgPAEUAMImMgImOAZn6MxvMAESwId/2IYSAAF/MIUS+AYDXQgErf4tEvgBZqSAAdBGIhiBhxhMIjiGFCCCMG1GmuRQMv3Qk4gIw9yZXHwb7NTOE2WIEuiGZTiB7ZIACvCAETgGFCiDMyiDMiADTiiGJiCBiVgHEyiB2RQFfwABEgBCUTCBY/iHAW23cjGuyarSBhVOI7iBhpDGUKxGNnHOAmkHJhhTvlSCMzWJNI1I2PsH6oGeCKjTxnzMhWiCEACHxhSFF6WAEyhREyADNPjTMpADPFCCEPCHeIgHf4AHEiCBY2xRZ8UHeBgBEyiMYyAB3ByNS4WrHjABhtjHg/MBhlBO5AzFFACXUe3GWLxQVS0JVl0OXIRV0OFJnwRKhkgFFSDKEf44N/NkAhL4hyKIxT51AyM4gg/wh24wgbJUgdpBTRUARmMoAVOIiLRcy0MhjXeDh2TAAWV0VwaBV3fAxY8l2ZKFipD1UJNV2ZUFiRBlRJaF2ZiV2Zml2Zq12ZvF2ZzV2Z3l2Z712Z8F2qAV2qEl2qI12qNF2qRV2qVl2qZ12qeF2qiV2qml2qq12qvF2qzV2q3l2q712q8F27AV27El27I127NF27RV27Vl27Z127eF27iV27ml27q127vF27zV273l2771278F3MAV3MEl3MI13MNF3MRV3MVl3MZ13MeF3MiV3Mml3Mq13MvF3MzV3M3l3M713M8F3dAV3dEl3f7SNd3TRd3UVd3VZd3Wdd3Xhd3Yld3Zpd3atd3bxd3c1d3d5d3e9d3fBd7gFd7hJd7iNd7jRd7kVd7PMQUlQAJTCCJ8MAElSIJlKAwEEVIkEIFviAhjWAKyBAHANI4RMIIl2C6JwIdRYIIkEIGgPAljGMoUIAbyENIkMAHxPQ5uMAEkANKKIN8kaIJiQA9u0EqAnYhvaIIkWILrM9p0UIJs8AYl8E9naAJuoGAGFo10WEwEdgZ88AdjOAFJTZBvcAYSON+IIAa4vIYSAEWTyKgSSAcRKAF5QNIR+IBtsGEEgQdRaIJ14GF5aM4PkM8EgYdiaFRvaQdTaALebAKmdf6GFPCGf1jMwiABoMQHJcAGBKHT2lFNqPHeI2CCZYgHLTZh8xCFESgGfCABEUAJbRABVWxSVizhY/CHDzgBBPmGD2DjZVAB0/gG8lUCEuiW40iHI1YUcDiBURgNUlzaUjgBVlQBUTAKFDCFi1GCa8DeEhDgEvgAVmSHdYiHD0CBVjqOZShjRTGFESisEmDjkyiGEQAvUSiBwhJPYLRjBOGG+/yHLxVgeEiHdsAGOCVkQ64IFdiubmBkpX3ipZhif6jidLjiLEaPLYbNSvaWbUiBCSsOUy6viDjjNF7jNn5jJnVSf5jjOr5j9MjjPe5jb1kHUkABBClkgD3kRF5kprB14Gz4BgleiAtmhgqW58UEh8X04HWAB38QBRQQ4VI+5YgohhIYBWyYWJR4Yfuc4VmxYW4YAXs8jh3u4R9m1otJ0lYeZnqWSVNQgXYYhSZm2uZ93m14ZOmlXutNEFBgAiQYAWIYAWPwRyRQAlAY5OL4gKk8AlNIhw/oYFJYXxEAh5QwBn1VgWMYBYqtXxOIYlze3zBmBhHYBhQgyhRw3+LwBiZYUSaIh8ZszgReYKYNCAAh+QQBBwD/ACx3AC0BDgATAKcHBwoJCQ0KChANDRMPDxYRERgSEhsUFB0VFR8VFSAWFiEWFiIXFyIXFyMXFyMXFyMXFyMXFyMXFyMXFyMXFyMXFyMXFyMXFyMYGCMYGCMYGCMYGCMYGCMYGCMYGCMYGCMYGCMYGCMYGCMYGCMYGCQYGCQZGSQaGiQaGiQbGyUcHCUeHiYfHycjIyonJy4rKzEvLzQyMzg2Njw4OT87O0E9PkQ+P0Y/QEdAQElAQUlBQUpBQktBQktBQkxBQkxBQkxBQkxBQkxCQkxCQ0xCQ0xCQ0xCQ0xCQ0xCQ0xCQ0xCQ0xDQ0xDRExERE1ERU1GRk1HSE5ISU5KSk9LTFFOTlFPT1JRUVRTU1VVVVZXV1haWlpbW1tcXFxdXV1eXl5fX19gYGBhYWFiYmJjY2NkZGRlZWVmZmZnZ2doaGhpaWlqampra2tsbGxtbW1ubm5vb29wcHBxcXFycnJzc3N0dHR1dXV2dnZ3d3d4eHh5eXl6enp7e3t8fHx9fX1+fn5/f3+AgICBgYGCgoKDg4OEhISFhYWGhoaHh4eIiIiJiYmKioqLi4uMjIyNjY2Ojo6Pj4+QkJCRkZGSkpKTk5OUlJSVlZWWlpaXl5eYmJiZmZmampqbm5ucnJydnZ2enp6fn5+goKChoaGioqKjo6OkpKSlpaWmpqanp6eoqKipqamqqqqrq6uurq6xsbGzs7S1tba3uLi5ubu8vL2+vsDAwMLBwsTDxMbExcfFxsnGx8nGx8rHyMvHyMvHyMvHyMvHyMvHyMvHyMvHyMvHyMvHyMvHyMvHyMvHyMvIyMvIycvIycvIycvIyczIyczIyczIyczIyczIyczIyczIyczJyczJys3Kys3Ky87LzM7Nzc/OztDS0tTX19ni4uPq6uvx8fL29vf5+vr8/Pz9/f3+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7////+/v7+/v7///8yzTIIggD37SPx7J/BgwgFkjhSEGHCfyT2MXR4cB9EgRMpWiTxD2PDhxw7SvxocGPFkSAToiwJUWW4jCZVfpsYU6U3hjVVdjti0iI4gQeP8Ly4D9yAV/uauKp40eizF/u6vThJwum+KbWuLhV5ZMAzgc9c7OMGg2LJq9z+xTArspsLMdoMBgQAIfkEAQgA/wAseQAtAXkAEwCnAAAAAQEBAgICAwMDBAQEBQUFBgYGBwcHCAgICQkJCgoKCwsLDAwNDg4PDw8SEREUEhIVExMXFBQYFRUZFRUaFhYcFxcdFxceGBgeGBgfGRkfGRkfGhofGhogGxsgHBwgHR0hHh4hICAiISEjIyMkJSUlJiYmJycnKCgoKSkpKioqKysrLCwsLS0tLy8wMTEyMzM1NTU3Njc5ODg7OTk9OztAPD1CPT5EPj9FP0BGP0BHQEFIQEFJQUFJQUJKQUJKQUJLQUJLQkJLQkNLQkNLQkNLQkNLQkNMQ0RMQ0RMRERMREVMRUVMRUZNRkdNSEhOSUpOSktQTExRTU1RT09SUFFTUlJUVFRWVldXWVlZWlpaW1tbXFxcXV1dXl5eX19fYGBgYWFhYmJiY2NjZGRkZWVlZmZmZ2dnaGhoaWlpampqa2trbGxsbW1tbm5ub29vcHBwcXFxcnJyc3NzdHR0dXV1dnZ2d3d3eHh4eXl5enp6e3t7fHx8fX19fn5+f39/gICAgYGBgoKCg4ODhISEhYWFhoaGh4eHiIiIiYmJioqKi4uLjIyMjY2Njo6Oj4+PkJCQkZGRkpKSk5OTlJSUlZWVlpaWl5eXmJiYmZmZmpqam5ubnJycnZ2dnp6en5+foKCgoaGhoqKio6OjpKSkpaWlpqamp6enqKioqampqqqqq6urrKysra2trq6ur6+vsLCwsbGxsrKys7OztLS0tbW1tra2t7e3uLi4ubm5urq6u7u7vLy8vb29vr6+v7+/wcHBwsLDw8PExMTFxcXGxsbHx8fIx8jJyMjKycnKycrLysvLy8vMzMzNzs7Pz8/Q0dHR0tLT09PU1NTU1dXV1dXW1tbX19fX2NjY2dnZ2tra29vb3Nzc3d3d3t7e39/f4uLi5eXl6Ojo6urq7Ozs7u7u8PDw8/Pz9fX1+Pj4+vr6/Pz8/f39/f39/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+////Ms0yCOwA/fn7R7CgwYMIEypcyLChw4cQCWZIxlDgwIgYM2rcyDHDEYoKBwrkSLKkyY0Z/n0MSXDkyZcwY/5LqRLkwYv/XMrcyRMizZoIceYU2rOoUYkGVxokqvOo050/CSptGZTo06slo0q1adUi1q9ZEapTanVoWbBoGWolaG7lWa9p4zZcS1Dcx7ND5epVSJcguCM4L1psurfwT3RSjygG3HIk4cKQaaJbQOtfklkFRXp9DHlvysnJWPwDJ7qxY82dU2cA/U9KsNaYzTbOmxrykQUgk6H4Z81FSJG1gxOUYu0fjN+chesNh0KMM4IBAQAh+QQBCAD/ACzmAAYADwJAAacGBhAGBhEHBxEHBxEHBxIHBxIHBxIHBxIICBMICBMICBMICBMICBMICBMICBMJCRMJCRMJCRMKChMKChMLCxQMDBQNDRQODhUQEBYRERYSEhcUFBgWFhkYGBoaGhwcHB0eHh8hISEiIiIjIyMkJCQlJSUmJiYnJycoKCgpKSkqKiorKyssLCwtLS0uLi4vLy8wMDAxMTEyMjIzMzM0NDQ1NTU2NjY3Nzc4ODg5OTk6Ojo7Ozs8PDw+Pj5BQUFDQ0RFRUVHR0dJSUlKSktLTE1NTU5OTk9PT09QUFBRUVFSUlJSUlJTU1NUVFRUVFRUVFRVVVVVVVVVVVVVVVVVVVVVVVVWVlZWVlZWVlZWVlZWVlZWVlZXV1dXV1dXV1dYWFhYWFhZWVlaWlpaWlpbW1tcXFxdXV1fX19gYGBhYWFjY2NlZWVnZ2dpaWlra2ttbW1wcHBxcXFycnJzc3N0dHR1dXV2dnZ3d3d4eHh5eXl6enp7e3t8fHx9fX1+fn5/f3+AgICBgYGCgoKDg4OEhISFhYWGhoaHh4eIiIiJiYmKioqLi4uMjIyNjY2Ojo6Pj4+QkJCRkZGSkpKTk5OUlJSVlZWWlpaXl5eYmJiZmZmampqbm5ucnJydnZ2enp6fn5+goKChoaGioqKjo6OkpKSlpaWmpqanp6eoqKipqamqqqqrq6usrKytra2urq6vr6+wsLCxsbGysrKzs7S0tLS1tbW2tra3t7e4uLi5ubm6urq7u7u8vLy9vb2+vr6/v7/AwMDBwcHCwsLDw8PExMTFxcXGxsfHx8jIyMnJycnKysrLy8vMzMzNzc3Ozs7Pz8/Q0NDR0dHS0tLU1NTW1tbZ2dnb29zd3d7f3+Dh4eLi4uPj4+Xk5Obl5efm5ujn5+no6Orp6evp6evq6uzs7O7u7vDw8PLy8vTz8/Xz8/b09Pb19ff29vj4+Pn5+fr6+vv8/Pz9/f3+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v4yzTII/gD/CRxIsKDBgwgTKlzIsKHDhxAjSpxIsaLFixgzatzIsaPHjxyziARJsqTJkyhTqlzJsqXLlx1FjoRJs6bNmzhz6tzJc6PMLD2DCh1KtKjRoz1/Il3KtKnTp1CNKo1KtarVq1izMpSptavXr2DDih1LtqzZs2jTql3Ltq3bt3Djyp1Lt67du3jz6t3Lt6/fv4ADCx5MuLDhw4gTK17MuLHjx5AjS55MubLly5gza97MubPnz6BDix5NurTp06hTq17NurXr17Bjy55Nu7bt27hz697Nu7fv38CDCx9OvLjx48iTK1/OvLnz59CjS59Ovbr169iza9/Ovbv37+DD/osfT768+fPo06tfz769+/fw48ufT7++/fv48+vfz7+///8ABijggAQWaOCBCCao4IIMNujggxBGKOGEFFZo4YUYZqjhhhx26OGHIIYo4ogklmjiiSimqOKKLLbo4oswxijjjDTWaOONOOao44489ujjj0AGKeSQRBZp5JFIJqnkkkw26eSTUEYp5ZRUVmnllVhmqeWWXHbp5ZdghinmmGSWaeaZaKap5ppstunmm3DGKeecdNZp55145qnnnnz26eefgAYq6KCEFmrooYgmquiijDbq6KOQRirppJRWaumlmGaq6aacdurpp6CGKuqopJZq6qmopqrqqqy26uqr/rDGKuustNZq66245qrrrrz26uuvwAYr7LDEFmvsscgmq+yyzDbr7LPQRivttNRWa+212Gar7bbcduvtt+CGK+645JZr7rnopqvuuuy26+678MYr77z01mvvvfjmq+++/Pbr778AByzwwAQXbPDBCCes8MIMN+zwwxBHLPHEFFds8cUYZ6zxxhx37PHHIIcs8sgkl2zyySinrPLKLLfs8sswxyzzzDTXbPPNOOes886O+uMPxz7/rPHPPg8tUNEYC/0P0hYrvbTTE0PN9FoL2FIr1E+3tUAPydCKddBsLeDPD7XMivXTZ5Mltj8WBCBr2mCntbY/AbgNa9pZpwVAh9B02+2q0kLzjXdYc/tc96uBFz213ILTjcnfaBM9+FhiR+7OD12zynfWi59VeeTmYK450opPTnjiRYMj+t1Eh4260Nn8EOvmVAutjs8/5J67xJWrQwEtY89Ssdi+qxKAP9mwMLzvXV8gjD9ECD9xBxNk3sEJ/lDjgsY9UPPPDBp/goIazrQaEAAh+QQBBwD/ACxNAX4A/gB+AacGAAAFAAAEAAAEAAEEAAMEAAQEAAYFAAoFAQ4GARMGAhYGARsFASAFAScEACwEADQDADcDAUQCAU4CAWADAncDA4UDCI4EBIgEBHsEBGQFBVEGBkYHBzkICDgJCTgLCzcNDTUPDzMRETETEy4VFSwWFioXFykZGSkbGycdHSYeHicgICghISgkJCsnJy0qKi8sLDIuLjMwMDUyMjc0NDk3Nzw6O0A+PUFBPkFEP0BIQDxOQDZYQi5gRCloRyV1RR2AQxWKTRKWWA2aWgueXAmhXQikXwamYAWoYgWsZQSvaAOyawO0bgK2cAK5cwK7dgK8eAG+egG/ewG/ewG+egK+egLAcwTDbQfFZgnGYAzGXA7BWRO7Vhm2VR6wVSOoViifWC2TWjWFXT12YUVwYExrX1FnXlVmX1dlX1llYFxlYl9lZGNlZWdmZ2hoZGprYW1uXXBwWXJyUHR1R3d4Pnp7NX1+LIB/JoCAIoGAHoGAG4GBGIKBFoKBFYKCEn6CEX2GGHyLIHyQJ3mYNXSfQW+lTGuqVWiuXWWyZGO2amG6cWC/eF/Cfl3Gg1zJiVzNj13Pkl3RlV3TmF7XnF7aoVzdpFzfpl3iqWDkrGTosmvuuXL0v3j4w376yIT8yoz9zZL9yZT3wZfruJjarJfGnJiwi5ujgKCUcqeKaayHY66CXq5/WrB7WrF9WrN+Wrd/W719XcN4W8dyXsttYc5oY9BiZdJcaNRYbNJUb9FQctFLdNJFdtM8edUxfNQqf9MngdMmhNQmhtYti9kxj9o2k9w7l95Amt5End5JoN5Mot5QpOBTpeBXp+BbqeBhrOBnsOFss+Nyt+d3uul9v+yCwvCFxfOHxvWKyPOPyfCVy+yazemg0eqk0+mn0uiq0eSv0uK00+G71ODB1t/H2N7N2d3W3d7g4t7m5Nvo6N/t7eDx8OL19OP49+T7+uL9/Or+/O7+/fL+/vX+/vf9/vj9/fn7/ff2/fTv/fLo/fPj/vbe/vnY/vzS/v7S/v7S/v4yzTII/gD/CRxIsKDBgwgTKlzIsKHDhxAjSpxIsaJFOBYzatzIsaPHjyBDihxJsqTJkyhTqlzJsqXLlzBjypxJs6bNmzhz6tzJs6fPn0CDCh1KtKjRo0iTKl3KtKnTp1CjSp1KtarVq1izat3KtavXr2DDih1LtqzZs2jTql3Ltq3bt3Djyp1Lt67du3jz6t3Lt6/fv4ADCx5MuLDhw4gTK17MuLHjx5AjS55MubLly5gza97MubPnz6BDix5NurTp06hTq17NurXr17Bjy55Nu7bt27hz697Nu7fv38CDCx9OvLjx48iTK1/OvLnz59CjS59Ovbr169iza9/Ovbv37+DD/osfT768+fPo06tfz769+/fw48ufT7++/fv48+vfz7+///8ABijggAQWaOCBCCao4IIMNujggxBGKOGEFFZo4YUYZqjhhhx26OGHIIYo4ogklmjiiSimqOKKLLbo4oswIocGOv7NKE9/NubD34z59GLBfjPOYsGQ+rVQCi9DEolfkEkqaR+PPiYpzn0z/pPPLLzUQg49N9ZX5T/ncBEKl/J0Od+XYY75T5lmxoemmPQIVCZ9b47JZpvwVSlPmlxSiU6ZfOIpn403wjmnl38KZKig9qnJaH12PhrjpJRWShkJpfhHgg3j9EeCPDh0ut+n/4Q6apc4YJQfqQK9YMqq/mbKA4Oo9rG6Jqiv2jfCnWXSY4Oq9Nk65z0tACufsF2ikwIMwcZqpjk4NCuQPWXiYK210tqjADjy5JBprfJoOw4K8pjDbK3i/iPDlDp8S58NCogKBwr/lBMDfzOU8w8N/JXyghvkWCrwwAQXbPDBCCes8MIMN+zwwxBHLPHEFFds8cUYZ6zxxhx37PHHIIcs8sgkl2zyySinrPLKLLfs8sswxyzzzDTXbPPNOOes88489+zzz0AHLfTQRBdt9NFIJ6300kw37fTTUEct9dRUV2311VhnrfXWXHft9ddghy322GSXbfbZaKetNnbuGCGABToKZIkAEnAj0Ces5NMO/hAC/DLQFNb804kAAljzCQCEW4CP23U71IjdArX9dtyd+D144f/M3fjcAizDWuX/AC5QO3/4A3rbcFuyjDuG2D24Naxzgzfl1rQDy0NtNy4Q6KLv/Us7quitCj6lg96IP6G1XfsfkBA+udyBd+L5P5/k8g/w+agevPSs+0N6JYE/Xv3owR/+fOaeV8434dacw8/jA1kSvedTnJLLJ6YgDrshpq/OOOSeIZ3oDiI/wU1vfMA7ByvwEbzQYQ5wBdxbBZAnuOj5TXXky8cACwI/6BmwctWbHen8cTi4jXB2oAEd5942hbeBz4B3sx7wKuG8ZYhuCtVYXwXGUboRdo8gg9IbyOP+MI71Ye4fHczc/FpIuFNE4x+sG0feUHi9BgZQFRssCO8Cd73i+a2K+YBfAZWIve5hD31KHEgnzPBFgyRxizEcYQJlqAoF5mN8AfwDN0gHQIJIznKem9sEM2g+uHmQc57D4x8JwkeEwO9xi4yh4NjnQMwJkoLWoaJ+DsfFuwQEACH5BAEIAP8ALJkBBgBcAfYBpx4AAB4AAB4AABsAABgAABIAAA4AAAkAAAUAAAMABAIACAEACwAADgAAGwAADgAADQEBCwICCAQEBQgICQ0NDxISFRcXGxoaHx0dIx8fJiMjKiMjKyQkLCUlLSUlLiYmLyYmMCYmMCcnMScnMScnMScnMScnMicnMigoMigoMigoMigoMykpMykpMykpNCoqNCoqNCoqNCsrNSsrNSsrNSwsNSwsNS0tNi4uNi4uNi8vNzIyOTQ0OzY2PTk5Pzs8QT4+Qz9ARUFBRkJDSENDSENESURESUVFSUZGSUdHSklJSkpKS0xMTE1NTU5OTk9PT1BQUFdSU1tTVV5UVWBUVGNQV2RMWmRKX2NHY2ZFZmlDaWtAa209bW85b3E0cXMuc3UmdXckd3gheHkfeXodenwbfH0Zfn4Yf38WgH8VgoAUgoAUg4MYhIYchIojhY0phZAxh5I4iJM9iZRBipVEi5VIjJNMjZFOjo5QkIxSkYlTk4ZUloJWmH5Xm3lZnXNboF9co1Zdpllfp2diqWZkqmVnrGVqrWRtr2NxsVp3tVR/u1KGwFOHwFiIv2CHvGOGuWWHuGeHt2qItW2Ks3GLsXaNr3yPrIORqIuUo5eVnKaYkq2YjbKYibaYhbqYgr6Xe8GXdsSYcsaYbcqca82faNGhZtikYt2lXd+mW+GmWeKmWeGmWt+nXtynYtqnZdmoaNioa9apb9SqdNKrec+sf8yuh8mwj8W2m8G6pb27srq6uru7u7y8vL29vb+/v8DAwcXHwcnGwM3Iv9HLvtXNvNnPut3RueDTuOPVt+XWtujYterZtOzatO3bs+/csvDdsfLcrvTbq/fbp/naovvZoPvYnfvan/vbofvepPrfp/rjrPnns/jpt/brvPXtwvfyyvX11vD44On56dLx8cDp+K/i/aLa/prW/pTS/pDQ/o7O/o/P/pTS/p3X/qbd/rLi/sDq/srv/tXz/uP3/ev6/O/6+/P6+/b6+vj7+fz9+/7++/7+/P7++/7+/f7+/DLNMgj+AP8JHEiwoMGDCBMqXMiwocOHECNKnEixosWLGDNSrDQPn8aPIEOKHEmypMmTKAcqoofPY8qXMGPKnEmz5kR1LV3a3Mmzp8+fQA1Kyhm0qNGjSJNGJESupdKnUKNKtSnlEq6pWLNq3cq1q9evYMOKHUu2rNmzaNOqXcu2rdu3cOPKnUu3rt27ePPq3cu3r9+/gAMLHky4sOHDiBMrXsy4sePHkCNLnky5suXLmDNr3sy5s+fPoEOLHk26tOnTqFOrXs26tevXsGPLnk27tu3buHPr3s27t+/fwIMLH068uPHjyJMrX868ufPn0KNLn069uvXr2LNr3869u/fv4MP+ix9Pvrz58+jTq1/Pvr379/Djy59Pv779+/jz69/Pv7///wAGKOCABBZo4IEIJqjgggw26OCDEEYo4YQUVmjhhRhmqOGGHHbo4YcghijiiCSWaOKJKKao4oostujiizDGKOOMNNZo44045qjjjjz26OOPQAYp5JBEFmnkkUgmqeSSTDbp5JNQRinllFRWaeWVWGap5ZZcdunll2CGKeaYZJZp5plopqnmmmy26eabcMYp55x01mnnnXjmqeeefPbp55+ABirooIQWauihiCaq6KKMNuroo5BGKumklFZq6aWYZqrpppx26umnoIYq6qiklmrqqaimquqqrLbq6qv+sMYq66y01mrrrbjmquuuvPbq66/ABivssMQWa+yxyCar7LLMNuvss9BGK+201FZr7bXYZqvtttx26+234IYr7rjklmvuueimq+667Lbr7rvwxiuvWeGII2e9/cSJb75v1vtPP/y26e+/mbg58D+ZaCKwvQIlHHCaBzs8zJq89ALMxZdo0o8xBUPMMMIK34NJx2dGrPA/w2zRA5omDwQwywz34zDAL5dsL8Azr7mvzBo/bPPLCf/rc5n4NqxwzW5q/C+cPQ8979NQRy311FRXbfXVWGet9dZcd+3112CHLfbYZJdt9tlop6322my37fbbcMct99x012333Xjnrff+3nz37fffgAcu+OCEF2744YgnrvjijDfu+OOQRy755JRXbvnlmGeu+eacd+7556CHLvropJdO3gXAyHnBEKnDecE/rLsuUOxuvj5762zafnubuu++Zu++pwn8P/fQjubw/9RjvJnI/yPO8mQ27/wQxw9kz+xDZE/9mbbbQ4Eu/xQBvpqvew+MDc6jT775/zDxS/vjozkEBa0Ds8I/xOAAJxPE/MMDnOJYARYmpiqaAQwbixBaP6qBAASoox+qQEAD3AFBCbojggj4ByMMyMGXMdCBA/mGABCQQBGS8B8MnGAFEbDBf6jigfygAgICQY98GRBEL1sgCWkWQ3dgIxD+31hDPKqxiCDG4x+LoJkn4lGzGwqkhz+kh0BUwYgeioKCV7RDPBDYjyXSTBQOhOADX2hDpzmog/0QRRWpcIkRWhAYXHwYP+yAiyR+gw/ZsCMfpFiNDeaLigtUhAD+0UBg7HGOTFxgFe0wDk3IMIH/6mMMLfgNeJDREzKkYQcp5MQYUoERAslhP+I4EHrMsY7/uGMe+3FHKXoxX60UxQOF1kpE8guM6uhhGtUhkAkaMYpi3CUE/chBTpZxlDTEhhtVSEqBmJKOelxlK+P4RXesARhuRIAhn5lIWe4yEzV84b9syco9BtOLfWwi0iDUSTukApRCExo1oQhEIRLRiERoVCQHqxGFJJaRnlL8xxVdqA5vXlGIQcRFMv1JRkCSsZgS6mAMc0kFXt4Qgf9AZAopGMEGMLGjH31gDr+hBgrSTCAbTaMPR0hDEybxg2OUIBMJ2o9JalKBZsxRFBFyUjIpk5cH6emNAgIAIfkEAQgA/wAsmwHfATcBJQCnAAAeAAAkAAAeAAAdAAAcAAAaAAAXAAASAAAOAQEJAQEGAQEDAQEBCQEBAQEBAwMDBQUHCAgLCwsPDQ0RDw8TEBAVEhIWExMZFRUbFhYdFxceGBgfGRkgGhogGxshGxshHBwhHR0iHh4iHx8jISEkIiIkJCQlJiYmKSkqLCwtLi4wMDAzMjI2NDQ4NTY6Nzc8ODk+Ojo/OztBPDxCPT1EPT5FPj9GP0BHP0BIQEFJQEFKQUJKQUJLQUJLQUJLQUJMQUJMQUJMQkJMQkNMQkNMQkNMQkNMQkNMQkNMQkNMQ0NMQ0RMQ0RNRERNREVNRUZNSkJRTj5VUjtYVjdcWzRfXjFiYi5lZStoaShrbCZtbyNwcSFydB90dh12eBt4ehl6exd7fBV8fRN9fhJ+fhB+fw9/fw5/gA5/gg2Agw6AhA2AhA6AhxR9ixx3kShxmzppo0liqFNdrl9atGpXuXNVvnpUwoJNxYZLxohMyY1Sz5VW151Y3qRb46th5q9n6LJp5rBn461j3qhd2KNZ059XzZtVxpVcvY5jtIZqr4BwqXt1pHZ7m2+Ck2mJi2SPhF+UgV6WfV2YeV2adF2ccF2eal6hZl6iW16kT16kSV+mSWKnTmirTm6xSHO1Rni7RX2/RIDCPoPEOobHO4rKRZHQTJjWU57dWaPiXKfmX6roZK3rarHubrTwdLjzeLv1fb/4gsP6g8X8hsf8iMr9i83+jc7+j9D+kdH+k9P+ldX+mNj+m9r+ntz+oN7+ouD+pOL+pOL+pOL+pOL+pOL+pOL+pOL+peL+peL+peL+peL9puL9q+D4sN70tt3vudvrvNrov9nmwdjkxNbgxtTdx9PaydLZztXa1dnd2tzf3d/h4uPk5+jp7Ozt8fHy9/f3+Pz89/7+9P7+8v7+8P7+7/7+6P7+7P7+7/7+8v7+9f7++P7++/7+/f7+/v7+/v7+/v7+/v7+/v79/v77/v72/v7x/v7q/v7l/v7k/v3g/vva/vvW/vrT/vrR/vrQ/vrQMs0yCP4A/wkcSLCgwYMIEypcyLChw4cQI0qcSLGixYsS4cHDyLGjx48gQ4ocSRKjxo0lU6pcybKly5cHN2qESbOmzZs4XaKcmbOnz59AgwpE+Y+n0KNIkyq9SLRo06VQo0pV+tTo1KtYs8J86lSr169gP3I9Gbas2bMLuTpVi7atW6xsyb6dSzcq26518+oFSnTnybt7AwtO6Vcm4MGIE4tda1ix48cg/3a1Crmy5YdyZ1K+zLlzWpmeQ4s2uKGa3NGoPW8oUm2ivwYMRA21F4dBpnIa7SArykcWvNf/RMG7M1CWwDvGY56kbRu3TNq7+QwEfvs1gwDl/jD451t7gN2pRf5v+MdaIh9U0DX+kY2c9vfhDHyfhy7Q3qJy/7QnL/gX3vp/yP3Fx3f+qJGfKL3B01s/qGjkDyTlPFgOI+X0A0p44glUnkH9mJFdJnYwIKIouinoGzwW/qNbP8jo5s80Cer2T4IzGldgIcb9pkY5tOUhom2E7HdSP5iseKGEGvWmXWz9MNIAdyj9gQqGoY2nYWsG/RHKjpLJ2JtTfDDQYG7IJOmbl77Zhx9yCZpJpHNm5jfmQEb+BiGKmJRz3nCr5FkgfgOCRyVnVl55EHIA/khimV8qOOWe8JRoYqTRdTelddc5Z+F5YYqYSZByFtUPbLZpcySEf9ymGR+rNGgPheb1wTroZYUaStAfpnBJ1nxx7GainGSa6Sh9Xw7U5j+0QVHmX/8h+peLAq1n4UkB2pHMjg/++eestBq0YX63pQrnb7BNKaV1AThlx1AJAtegioLWyBMfsjHGnHDTkjnjP9jdsZ2Y1pm7XXci7sctZLUK9M23NMmF6MEQY5SwQN0wrBNPd9wW8cYVTSzQNhZzLPJUHgukTREjp3xVod5oWMTLKKss81JWeiNBa0xgOfPOSY1nczUp/KNN0DwXLdQGP/8DRWtLG+20T0XcLFA1KPxzjQpPZw0UFNf804LWYOe0DQpWWCNQQAAh+QQBBwD/ACyjAuIBLwAiAKcJCQ4LCxAMDBIODhQPDxYQEBgRERkSEhsTExwUFB0VFR4VFR8WFiAWFiEXFyEXFyIXFyIXFyMXFyMXFyMXFyMXFyMXFyMXFyMYGCQYGCMYGCMYGCMYGCMYGCMYGCMYGCMYGCMYGCMZGSMZGSMZGSQaGiQaGiQbGyQcHCUdHSUeHiYfHyYgICchISgjIykkJComJisoKCwqKi4sLC8vLzExMTM0NDU3Nzc4ODg5OTk6Ojo7Ozs8PDw9PT0+Pj4/Pz9AQEBBQUJCQkRDQ0REREVFRUVGRkZHR0dISEhJSUlKSkpLS0tMTExNTU1OTk5PT09QUFBRUVFSUlJTU1NUVFRVVVVWVlZXV1dYWFhZWVlaWlpbW1tcXFxdXV1eXl5fX19gYGBhYWFiYmJjY2NkZGRlZWVmZmZnZ2doaGhpaWlqampra2tsbGxtbW1ubm5vb29wcHBxcXFycnJzc3N0dHR1dXV2dnZ3d3d4eHh5eXl6enp7e3t8fHx9fX1+fn5/f3+AgICBgYGCgoKDg4OEhISFhYWGhoaHh4eIiIiJiYmKioqLi4uMjIyNjY2Ojo6Pj4+QkJCRkZGSkpKTk5OUlJSVlZWWlpaXl5eYmJiZmZmampqbm5ucnJydnZ2enp6fn5+goKChoaGioqKjo6OkpKSlpaWmpqanp6eoqKipqamqqqqrq6usrKytra2urq6vr6+wsLCxsbGysrKzs7O0tLS1tbW2tra4uLi6uru8vL29vr6/v8DAwMHBwcPCwsTDw8XExMbExcbFxsfGxsjGx8nHx8nHyMrHyMrIyMvIycvJyczJyszKys3Ky83Ly87MzM/NzdDOz9HPz9HQ0NLR0dPS0tTU1NXV1dfX19jZ2dra2tvb29zc3N3d3d7e3t/f3+Dg4OHh4eLj4+Tl5eXn5+jq6urs7O3w8PHz8/T29vf6+vr8/Pz9/f3+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v4yzTII3AAxKPtHsKDBgwgTKlyIYcjAhRAjSvyH4Z/DiRgzUiR4UaNHhRU5PvxIkmBIkSVLnkSZ0uNKli0xvvynrmNMiTP/nbN5k6HCcjx7IsxJMNwQoT4JpuM4pOlRpAlDpgtA6x+RWVAhVpyqbMa/cF6zguT6j4mvslhv+vMHcUiAh8pi/MNGo+dathiZYPtnw+6/tRjHxRATze9fvGIhIgaceCHiw40VPoYc+eBkypUJXr6bWXNCzpkva2YcWfTo0AXx3iXdWDVg1pXZrsYcmvNr01lB3+78WTZvhLP/BQQAIfkEAQgA/wAsngLiAREAEwCnDAwUDg4XEREaExMdFRUfFhYhFxciFxciFxcjFxcjFxcjFxcjFxcjFxcjFxcjFxcjFxcjFxcjFxcjFxcjFxcjFxcjFxcjFxcjGBgkGBgjGBgjGBgjGBgjGBgjGBgjGBgjGBgjGBgjGBgjGBgjGBgkGBgkGRkkGRkkGhokGhokGxslHx8oIiIrJSUuKSkxLS01MTE5NTU9Nzg/OjtCPD1FPj9HP0BJQEFKQUJLQUJLQUJMQUJMQUJMQUJMQUJMQUJMQUJMQUJMQkJMQkNMQkNMQkNMQkNMQkNMQkNMQkNMQkNMQkNMQkNMQ0RNQ0RNREVNRUZNRkdOR0hPSUlPS0tRTU1RT09TUVFUU1NVVVVXV1dYWVlaXFxcXV1dXl5eX19fYGBgYWFhYmJiY2NjZGRkZWVlZmZmZ2dnaGhoaWlpampqa2trbGxsbW1tbm5ub29vcHBwcXFxcnJyc3NzdHR0dXV1dnZ2d3d3eHh4eXl5enp6e3t7fHx8fX19fn5+f39/gICAgYGBgoKCg4ODhISEhYWFhoaGh4eHiIiIiYmJioqKi4uLjIyMjY2Njo6Oj4+PkJCQkZGRkpKSk5OTlJSUlZWVlpaWl5eXmJiYmZmZmpqam5ubnJycnZ2dnp6en5+foKCgoaGhoqKio6OjpKSkpaWlpqamp6enqKioqamprKysr6+wsbKzs7S1tre4urq7vb2/v8DCwsLFxMTHxcbIxsfKx8jKx8jLx8jLx8jLx8jLx8jLx8jLx8jLx8jLx8jLx8jLx8jLx8jLx8jLx8jLx8jLx8jLx8jLyMnMyMnLyMnLyMnLyMnMyMnMyMnMyMnMyMnMyMnMyMnMyMnMyMnMycrMz8/S1dbY39/i6Onq7/Dx9PT29/f4+vr7/Pz9/f3+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+Ms0yCJUASTj7R9CfP4IIE/4jgWTgP4MHFSIk8a/hw4cRJVKs6CyiQYkLEVosmHFiwpEYFW4siPKjSYQHW2ZcebHbSIgEaUbUdvOjToTZevr7iRAbEphDEW6LiaQpEogGN24D0Oqfk1YfXYac6uzFP2wvss7k+o+KLH9UsB50iQSAQ2cu/F2DIRZk2Wv/YqQsmTCbCzHWMLoMCAAh+QQBCAD/ACydAuEBDQAUAKcLCxIODhUQEBgSEhsUFB0VFR8WFiEWFiIXFyIXFyMXFyMXFyMXFyMXFyMXFyMXFyMXFyMXFyMXFyMXFyMXFyMXFyMXFyMXFyMYGCQYGCMYGCMYGCMYGCMYGCMYGCMYGCMYGCMYGCMYGCMYGCMYGCQYGCQZGSQZGSQaGiQbGyUcHCUdHSYgICkkJCwnJy8rKzIuLjUxMTczNDo2Njw4OD46OkA7PEI9PkQ+PkU+P0Y/QEc/QEdAQUhAQUhBQUlBQklBQkpBQkpCQktCQ0tCQ0tCQ0tCQ0tDREtDREtDRExERUxERUxFRkxFRk1GR01HSE1ISE5JSU9KSk9LTFFNTVFOT1JQUFNSUlRUVFZWVldYWFlbW1tcXFxdXV1eXl5fX19gYGBhYWFiYmJjY2NkZGRlZWVmZmZnZ2doaGhpaWlqampra2tsbGxtbW1ubm5vb29wcHBxcXFycnJzc3N0dHR1dXV2dnZ3d3d4eHh5eXl6enp7e3t8fHx9fX1+fn5/f3+AgICBgYGCgoKDg4OEhISFhYWGhoaHh4eIiIiJiYmKioqLi4uMjIyNjY2Ojo6Pj4+QkJCRkZGSkpKTk5OUlJSVlZWWlpaXl5eYmJiZmZmampqbm5ucnJydnZ2enp6fn5+goKChoaGioqKjo6OkpKSlpaWmpqanp6eoqKipqamsrKyvr6+xsbKztLW2tre4uLm5uru7vL29vb++v8C/wMLBwcPCwsTDw8XDxMbExcfFxsjFxsnGx8nGx8rHx8rHyMrHyMvHyMvHyMvHyMvHyMvHyMvHyMvHyMvIyczIycvIycvIycvIyczIyczIyczIyczIyczIyczJyszJys3Kys3Ky83Ly87LzM7Mzc/NztDOz9HP0NLQ0dPS0tTT1NXV1dbX19jY2drb29zd3d7f3+Di4uPl5eXn5+jo6Ojp6enq6urt7e3v7+/x8fHy8vP09PX29vb4+Pj5+fr6+vv7+/z8/Pz9/f3+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v4yzTIIcwBJNPtHsKDBfySKHFxIwt/Cgw0fGowokSDFihclZny4UR5EhwfbTQR5EF3BjQXL/fNH8R3BIjBhsnT4DkCrf0la+ds5s2YzGP7KAT3p098UW/+m3HwJoNnOZi78gRtKkCfBKeD+ySB50JwLMdq4HuQJMiAAIfkEAQgA/wAsnQLhASoAEwCnAwMGBAQIBQUKBgYLBwcMBwcNCAgOCQkPCQkQCgoRCgoRCwsSCwsSCwsSDAwTDQ0TDQ0TDg4UDw8VEBAWEhIYExMZFBQZFRUaFhYcFxcdGBgdGhodGhoeGxsfHBwfHR0gHh4gICAhISEiIyMjJCQkJSUlJiYmJycnKCgoKSkpKiorKystLCwuLS0vLy8yMDA0MjI2NDQ4Njc7OTk+OztAPDxCPT5EPj9FPz9HP0BIQEFIQEFJQEFKQUJKQUJKQUJLQUJLQUJLQkJLQkNLQkNLQkNMQkNMQkNMQ0NMQ0RMQ0RMRERMREVMRUVNRkZNR0dNSEhOSUpPS0tQTU1RT09SUFFTUlJUVFRWVldXWVlZWlpaW1tbXFxcXV1dXl5eX19fYGBgYWFhYmJiY2NjZGRkZWVlZmZmZ2dnaGhoaWlpampqa2trbGxsbW1tbm5ub29vcHBwcXFxcnJyc3NzdHR0dXV1dnZ2d3d3eHh4eXl5enp6e3t7fHx8fX19fn5+f39/gICAgYGBgoKCg4ODhISEhYWFhoaGh4eHiIiIiYmJioqKi4uLjIyMjY2Njo6Oj4+PkJCQkZGRkpKSk5OTlJSUlZWVlpaWl5eXmJiYmZmZmpqam5ubnJycnZ2dnp6en5+foKCgoaGhoqKio6OjpKSkpaWlpqamp6enqKioqampqqqqq6urrKysra2trq6ur6+vsLCwsbGxsrKys7OztLS0tbW1tra2t7e3uLi4ubm5urq6u7u7vLy8vb29vr6+v7+/wcHBwsLDw8PExMTFxcXGxsbHx8fIx8jJyMjKycnKycrLysrLy8vMzMzNzc3Ozs7P0NDQ0dHR0tLS09PT1NTU1dXV1tbW19fX2NjY2dnZ2tra29vb3Nzc3d3d3t7e39/f4uLi5eXl6Ojo6urq7e3u8PDw8vLz9PT19/f3+Pj4+fn5+vr6+/v7/Pz8/f39/f39/f39/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+////Ms0yCMUA/fn7R7CgwYMIE2pIlrCgwIENI0bUYIRhw4ECJWo8qOFfxYsEM27c2NGjxYMQ/4kcObHgR5QGV7JEWJLgS4coU840WNPmSZUIZe7819Mnzpw6dxb9p+5l0pBCWS79V+7jU6hXNU79J65iVpVfWzYEZyQlxIdRSRY8Z9OI27JYwQ7lSfAcA1r/lMzCiVbuXIId7SZj8Q8cYawYE/8lKviflGCO94I9q/ivEQYWk6H4Z83FRYyLEUqx9i/G57R/w6EQ84xgQAAh+QQBBwD/ACy7AuEBDgATAKcHBwoJCQ0KChANDRMPDxYRERgSEhsUFB0VFR8VFSAWFiEWFiIXFyIXFyMXFyMXFyMXFyMXFyMXFyMXFyMXFyMXFyMXFyMXFyMYGCMYGCMYGCMYGCMYGCMYGCMYGCMYGCMYGCMYGCMYGCMYGCMYGCQYGCQZGSQaGiQaGiQbGyUcHCUeHiYfHycjIyonJy4rKzEvLzQyMzg2Njw4OT87O0E9PkQ+P0Y/QEdAQElAQUlBQUpBQktBQktBQkxBQkxBQkxBQkxBQkxCQkxCQ0xCQ0xCQ0xCQ0xCQ0xCQ0xCQ0xCQ0xDQ0xDRExERE1ERU1GRk1HSE5ISU5KSk9LTFFOTlFPT1JRUVRTU1VVVVZXV1haWlpbW1tcXFxdXV1eXl5fX19gYGBhYWFiYmJjY2NkZGRlZWVmZmZnZ2doaGhpaWlqampra2tsbGxtbW1ubm5vb29wcHBxcXFycnJzc3N0dHR1dXV2dnZ3d3d4eHh5eXl6enp7e3t8fHx9fX1+fn5/f3+AgICBgYGCgoKDg4OEhISFhYWGhoaHh4eIiIiJiYmKioqLi4uMjIyNjY2Ojo6Pj4+QkJCRkZGSkpKTk5OUlJSVlZWWlpaXl5eYmJiZmZmampqbm5ucnJydnZ2enp6fn5+goKChoaGioqKjo6OkpKSlpaWmpqanp6eoqKipqamqqqqrq6uurq6xsbGzs7S1tba3uLi5ubu8vL2+vsDAwMLBwsTDxMbExcfFxsnGx8nGx8rHyMvHyMvHyMvHyMvHyMvHyMvHyMvHyMvHyMvHyMvHyMvHyMvHyMvIyMvIycvIycvIycvIyczIyczIyczIyczIyczIyczIyczIyczJyczJys3Kys3Ky87LzM7Nzc/OztDS0tTX19ni4uPq6uvx8fL29vf5+vr8/Pz9/f3+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7////+/v7+/v7///8yzTIIggD37SPx7J/BgwgFkjhSEGHCfyT2MXR4cB9EgRMpWiTxD2PDhxw7SvxocGPFkSAToiwJUWW4jCZVfpsYU6U3hjVVdjti0iI4gQeP8Ly4D9yAV/uauKp40eizF/u6vThJwum+KbWuLhV5ZMAzgc9c7OMGg2LJq9z+xTArspsLMdoMBgQAIfkEAQgA/wAsvQLhAQ4AEwCnBwcKCQkNCgoQDQ0TDw8WEREYEhIbFBQdFRUfFRUgFhYhFhYiFxciFxcjFxcjFxcjFxcjFxcjFxcjFxcjFxcjFxcjFxcjFxcjGBgjGBgjGBgjGBgjGBgjGBgjGBgjGBgjGBgjGBgjGBgjGBgjGBgkGBgkGRkkGhokGhokGxslHBwlHh4mHx8nIyMqJycuKysxLy80MjM4NjY8ODk/OztBPT5EPj9GP0BHQEBJQEFJQUFKQUJLQUJLQUJMQUJMQUJMQUJMQUJMQkJMQkNMQkNMQkNMQkNMQkNMQkNMQkNMQkNMQ0NMQ0RMRERNREVNRkZNR0hOSElOSkpPS0xRTk5RT09SUVFUU1NVVVVWV1dYWlpaW1tbXFxcXV1dXl5eX19fYGBgYWFhYmJiY2NjZGRkZWVlZmZmZ2dnaGhoaWlpampqa2trbGxsbW1tbm5ub29vcHBwcXFxcnJyc3NzdHR0dXV1dnZ2d3d3eHh4eXl5enp6e3t7fHx8fX19fn5+f39/gICAgYGBgoKCg4ODhISEhYWFhoaGh4eHiIiIiYmJioqKi4uLjIyMjY2Njo6Oj4+PkJCQkZGRkpKSk5OTlJSUlZWVlpaWl5eXmJiYmZmZmpqam5ubnJycnZ2dnp6en5+foKCgoaGhoqKio6OjpKSkpaWlpqamp6enqKioqampqqqqq6urrq6usbGxs7O0tbW2t7i4ubm7vLy9vr7AwMDCwcLEw8TGxMXHxcbJxsfJxsfKx8jLx8jLx8jLx8jLx8jLx8jLx8jLx8jLx8jLx8jLx8jLx8jLx8jLyMjLyMnLyMnLyMnLyMnMyMnMyMnMyMnMyMnMyMnMyMnMyMnMycnMycrNysrNysvOy8zOzc3Pzs7Q0tLU19fZ4uLj6urr8fHy9vb3+fr6/Pz8/f39/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/////v7+/v7+////Ms0yCIIA9+0j8eyfwYMIBZI4UhBhwn8k9jF0eHAfRIETKVok8Q9jw4ccO0r8aHBjxZEgE6IsCVFluIwmVX6bGFOlN4Y1VXY7YtIiOIEHj/C8uA/cgFf7mriqeNHosxf7ur04ScLpvim1ri4VeWTAM4HPXOzjBoNiyavc/sUwK7KbCzHaDAYEACH5BAEIAP8ALL8C4QEVACYApwAAAQICAwMDBgQEBwUFCQYGCgcHDAgIDQkJDgkJDwoKDwsLEAsLEQwMEQwMEQ0NEg4OExAQFRERFhISFxMTGBQUGRYWGxcXHBgYHRgYHhkZHhoaHhoaHhwcHh0dHx4eHx8fICEhISIiIiMjIyQkJSYmJycnKSgoKikpLCkpLSoqLisrLywsMCwsMC0tMS4uMS8vMjAwMjExMzIyMzMzNDU1NTY2Njc3Nzg4ODk5Ojs7PDw8Pj09QD4+QT8/QkBAQ0BBREFBRUJCRkJDRkNDR0RESERFSEVFSUZGSUdHSkhISklJS0tLTExMTU5OTk9PT1BQUFFRUVJSUlNTU1RUVFVVVVZWVldXV1hYWFlZWVpaWltbW1xcXF1dXV5eXl9fX2BgYGFhYWJiYmNjY2RkZGVlZWZmZmdnZ2hoaGlpaWpqamtra2xsbG1tbW5ubm9vb3BwcHFxcXJycnNzc3R0dHV1dXZ2dnd3d3h4eHl5eXp6ent7e3x8fH19fX5+fn9/f4CAgIGBgYKCgoODg4SEhIWFhYaGhoeHh4iIiImJiYqKiouLi4yMjI2NjY6Ojo+Pj5CQkJGRkZKSkpOTk5SUlJWVlZaWlpeXl5iYmJmZmZqampubm5ycnJ2dnZ6enp+fn6CgoKGhoaKioqOjo6SkpKWlpaampqenp6ioqKmpqaqqqqurq6ysrK2tra6urq+vr7CwsLGxsbKysrOzs7S0tLW1tba2tre3t7i4uLm5ubq6uru7u7y8vL29vb6+vr+/v8DAwMHBwcLCwsPDw8TExMXFxcbGxsfHyMjIycnJycrKysvLy8zMzM3Nzc7Ozs/Pz9DQ0NHR0dLS0tPT09TU1NXV1dbW1tfX19jY2NnZ2dvb29zc3N3d3d7e3t/f3+Dg4OLi4uTk5Obm5ujo6Ovr6+7u7vHx8vX19ff39/j4+Pr6+vv7+/z8/P39/f39/f7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v///zLNMgjEAP35+0ewoMGDBgUORMgw4T+BDSMuhBgR4cKHFysSzEhR48ODHStm3DiSYUmFGktiVFmQJcqGLDFKbEnypcmaMlOuHBgSJkqIPS1SBBrT50ePCW0iNZgh2dKDGYg4fUowwz+pVP9ZvTp16VauT7+CRSp2rMayZiOiVYe1Itp/5to2fPtvnFyEdP+BI6K24DmCRAIH7vvvHANa/4rM8mjVcLIWeiGfdfyvibDKiysSYTA1WYp/1l5kbWLtH42s4lKIcUYwIAAh+QQBBwD/ACzIAvQBFwAnAKcCAgQFBQcHBwoJCQwKCg8MDBENDRMPDxUQEBYRERgSEhkTExoUFBwUFB0VFR4VFR8WFiAWFiAXFyEXFyEXFyIXFyIXFyIXFyIYGCIYGCMYGCMYGCMYGCMYGCMYGCMZGSMZGSMZGSMaGiMbGyMbGyQcHCQdHSQeHiUfHyYgICYiIicjIyglJSknJyooKCsqKi0tLS4vLzAyMjIzMzM0NDQ1NTU2NjY3Nzc4ODg5OTk6Ojo7Ozs8PDw9PT0+Pj4/Pz9AQEBBQUFCQkJDQ0NERERFRUVGRkZHR0dISEhJSUlKSkpLS0tMTExNTU1OTk5PT09QUFBRUVFSUlJTU1NUVFRVVVVWVlZXV1dYWFhZWVlaWlpbW1tcXFxdXV1eXl5fX19gYGBhYWFiYmJjY2NkZGRlZWVmZmZnZ2doaGhpaWlqampra2tsbGxtbW1ubm5vb29wcHBxcXFycnJzc3N0dHR1dXV2dnZ3d3d4eHh5eXl6enp7e3t8fHx9fX1+fn5/f3+AgICBgYGCgoKDg4OEhISFhYWGhoaHh4eIiIiJiYmKioqLi4uMjIyNjY2Ojo6Pj4+QkJCRkZGSkpKTk5OUlJSVlZWWlpaXl5eYmJiZmZmampqbm5ucnJydnZ2enp6fn5+goKChoaGioqKjo6OkpKSlpaWmpqanp6eoqKipqamqqqqrq6usrKytra2urq6vr6+wsLCxsbGysrKzs7O0tLS1tbW2tra3t7e4uLi5ubm6urq7u7u8vLy9vb2+vr6/v7/AwMDBwcHCwsLDw8PExMTFxcXGxsfHx8jIyMnJycnKysrLy8vMzMzNzc3Ozs7Pz8/Q0NDR0dHS0tLT09PU1NTV1dXW1tbX19fY2NjZ2dna2trb29vc3Nzd3d3e3t7f39/i4uLl5eXo6Ojr6+vu7u7x8fHz8/T29vb39/f5+fn6+vr7+/v8/Pz8/Pz9/f39/f3+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7///8yzTIIyQD9+ftHsKDBgwgFDkTIMOE/gQ0jElwIUSLDhQ8xWiyoseLGiQc9btQ4kWREkwo/msy4MmTDlBJbZrSIkaJCmSBZzlTJcqDImCkh/nxZUSjOkz4/JoSptKnTDcmcHtwwJKpUghv+Vb36L6tWq08Lbg0rFuxHr2Wbok17FmG6sRbXFiwHN6LcguLqMrxbENyQuAXPERxCmDDgf+cK0PpHZJbSrImTwfgHbvLZyP+YCMvseOOQAlaTufhnLQZXJtb+zeAazoUYZwQDAgAh+QQBCAD/ACzTAggCEwAZAKcAAAABAQECAgIDAwMEBAQFBQUGBgYHBwcICAgJCQkKCgoLCwsMDAwNDQ0ODg4PDw8QEBARERESEhITExMUFBQVFRUWFhYXFxkYGBsYGB4ZGRsbGxscHBwdHR0eHh4fHx8gICAhISEiIiIjIyMkJCQlJSUmJiYnJycoKCgpKSkqKiorKyssLCwtLS0uLi4vLy8wMDAxMTEyMjIzMzM0NDQ1NTU2NjY3Nzc4ODg5OTk6Ojo7Ozs8PDw9PT0+Pj4/Pz9AQEBBQUJCQkZDQ0VEREVFRUVGRkZHR0dISEhJSUlKSkpLS0tMTExNTU1OTk5PT09QUFBRUVFSUlJTU1NUVFRVVVVWVlZXV1dYWFhZWVlaWlpbW1tcXFxdXV1eXl5fX19gYGBhYWFiYmJjY2NkZGRlZWVmZmZnZ2doaGhpaWlqampra2tsbGxtbW1ubm5vb29wcHBxcXFycnJzc3N0dHR1dXV2dnZ3d3d4eHh5eXl6enp7e3t8fHx9fX1+fn5/f3+AgICBgYGCgoKDg4OEhISFhYWGhoaHh4eIiIiJiYmKioqLi4uMjIyNjY2Ojo6Pj4+QkJCRkZGSkpKTk5OUlJSVlZWWlpaXl5eYmJiZmZmampqbm5ucnJydnZ2enp6fn5+goKChoaGioqKjo6OkpKSlpaWmpqanp6eoqKipqamqqqqrq6usrKytra2urq6vr6+wsLCxsbGysrKzs7O0tLS1tbW2tra3t7e4uLi5ubm6urq7u7u8vLy9vb2+vr6/v7/AwMDBwcHCwsLDw8PExMTFxcXGxsfHx8jIyMnJycrKysrLy8vMzMzNzc3U1NTj4+Pv7+/4+Pj8/Pz+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7////+/v7+/v7///8yzTIIewD37ftHsKDBgwQFDkTIMOE/gQ0ZLoQY0eDChxcrZqSo8SDHhhkThvSIUGHEkRhRPgT5saBKjBJdijRZcibMkykHZkim0aTADEJ4spy4L8O+oBUtZniINOlDowObJl1aUGpEqlWFXkVoFSHWgtG6GvxaEJpYgmQLPgsaEAAh+QQBCAD/ACzaAhYCDAALAKcAAAABAQECAgIDAwMEBAQFBQUGBgYHBwcICAgJCQkKCgoLCwsMDAwNDQ0ODg4PDw8QEBARERESEhITExMUFBQVFRUWFhYXFxcYGBgZGRkaGhobGxscHBwdHR0eHh4fHx8gICAhISEiIiIjIyMkJCQlJSUmJiYnJycoKCgpKSkqKiorKyssLCwtLS0uLi4vLy8wMDAxMTEyMjIzMzM0NDQ1NTU2NjY3Nzc4ODg5OTk6Ojo7Ozs8PDw9PT0+Pj4/Pz9AQEBBQUFCQkJDQ0NERERFRUVGRkZHR0dISEhJSUlKSkpLS0tMTExNTU1OTk5PT09QUFBRUVFSUlJTU1NUVFRVVVVWVlZXV1dYWFhZWVlaWlpbW1tcXFxdXV1eXl5fX19gYGBhYWFiYmJjY2NkZGRlZWVmZmZnZ2doaGhpaWlqampra2tsbGxtbW1ubm5vb29wcHBxcXFycnJzc3N0dHR1dXV2dnZ3d3d4eHh5eXl6enp7e3t8fHx9fX1+fn5/f3+AgICBgYGCgoKDg4OEhISFhYWGhoaHh4eIiIiJiYmKioqLi4uMjIyNjY2Ojo6Pj4+QkJCRkZGSkpKTk5OUlJSVlZWWlpaXl5eYmJiZmZmampqbm5ucnJydnZ2enp6fn5+goKChoaGioqKjo6OkpKSlpaWmpqanp6eoqKipqamqqqqrq6usrKytra2urq6vr6+wsLCxsbGysrKzs7O0tLS1tbW2tra3t7e4uLi5ubm6urq7u7u8vLy9vb2+vr6/v7/AwMDBwcHCwsLDw8PExMTFxcXGxsbHx8fIyMjJycnKysrLy8vMzMzNzc3Ozs7Pz8/Q0NDR0dHS0tLT09PU1NTV1dXW1tbX19fY2NjZ2dna2trb29vc3Nzd3d3e3t7h4eHn5+ft7e3z8/P4+Pj7+/v8/Pz9/f3+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7///8yzTIIMwD9+ftHsKBBgQMNHvwnUGHBhA0dJmQ48eHBigwVRiSIkaJFgxiSRcSIYYjIgST/mRQYEAAh+QQBTgD/ACzgAh4CBAADAKcAAAABAQECAgIDAwMEBAQFBQUGBgYHBwcICAgJCQkKCgoLCwsMDAwNDQ0ODg4PDw8QEBARERESEhITExMUFBQVFRUWFhYXFxcYGBgZGRkaGhobGxscHBwdHR0eHh4fHx8gICAhISEiIiIjIyMkJCQlJSUmJiYnJycoKCgpKSkqKiorKyssLCwtLS0uLi4vLy8wMDAxMTEyMjIzMzM0NDQ1NTU2NjY3Nzc4ODg5OTk6Ojo7Ozs8PDw9PT0+Pj4/Pz9AQEBBQUFCQkJDQ0NERERFRUVGRkZHR0dISEhJSUlKSkpLS0tMTExNTU1OTk5PT09QUFBRUVFSUlJTU1NUVFRVVVVWVlZXV1dYWFhZWVlaWlpbW1tcXFxdXV1eXl5fX19gYGBhYWFiYmJjY2NkZGRlZWVmZmZnZ2doaGhpaWlqampra2tsbGxtbW1ubm5vb29wcHBxcXFycnJzc3N0dHR1dXV2dnZ3d3d4eHh5eXl6enp7e3t8fHx9fX1+fn5/f3+AgICBgYGCgoKDg4OEhISFhYWGhoaHh4eIiIiJiYmKioqLi4uMjIyNjY2Ojo6Pj4+QkJCRkZGSkpKTk5OUlJSVlZWWlpaXl5eYmJiZmZmampqbm5ucnJydnZ2enp6fn5+goKChoaGioqKjo6OkpKSlpaWmpqanp6eoqKipqamqqqqrq6usrKytra2urq6vr6+wsLCxsbGysrKzs7O0tLS1tbW2tra3t7e4uLi5ubm6urq7u7u8vLy9vb2+vr6/v7/AwMDBwcHCwsLDw8PExMTFxcXGxsbHx8fIyMjJycnKysrLy8vMzMzNzc3Ozs7Pz8/T09PX19fd3d3i4uLo6Ojt7e3y8vL19fX4+Pj6+vr8/Pz9/f39/f3+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7///8yzTIIDAD9+fv3T+DAg/4CAgAh+QQBBgD/ACxSAH4A+QFEAKcAAAABAQECAgIDAwMEBAQFBQUGBgYHBwcICAgJCQkKCgoLCwsMDAwNDQ0ODg4PDw8QEBARERESEhITExMUFBQVFRUWFhYXFxcYGBgZGRkaGhobGxscHBwdHR0eHh4fHx8gICAhISEiIiIjIyMkJCQlJSUmJiYnJycoKCgpKSkqKiorKyssLCwtLS0uLi4vLy8wMDAxMTEyMjIzMzM0NDQ1NTU2NjY3Nzc4ODg5OTk6Ojo7Ozs8PDw9PT0+Pj4/Pz9AQEBBQUFCQkJDQ0NERERFRUVGRkZHR0dISEhJSUlKSkpLS0tMTExNTU1OTk5PT09QUFBRUVFSUlJTU1NUVFRVVVVWVlZXV1dYWFhZWVlaWlpbW1tcXFxdXV1eXl5fX19gYGBhYWFiYmJjY2NkZGRlZWVmZmZnZ2doaGhpaWlqampra2tsbGxtbW1ubm5vb29wcHBxcXFycnJzc3N0dHR1dXV2dnZ3d3d4eHh5eXl6enp7e3t8fHx9fX1+fn5/f3+AgICBgYGCgoKDg4OEhISFhYWGhoaHh4eIiIiJiYmKioqLi4uMjIyNjY2Ojo6Pj4+QkJCRkZGSkpKTk5OUlJSVlZWWlpaXl5eYmJiZmZmampqbm5ucnJydnZ2enp6fn5+goKChoaGioqKjo6OkpKSlpaWmpqanp6eoqKipqamqqqqrq6usrKytra2urq65ubnLy8vd3d3q6urz8/P4+Pj7+/v9/f3+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v7+/v4yzTII/gD/CRxIsKDBgwgTKlzIsKHDhxAjSpxIsaLFixgzatzIsaPHjwjpgBxJsqTJkyhTqlzJsqXLlzBjypxJs6bNmzhz6tzJs6fPn0CDCh1KtKjRo0iTKl3KtKnTp1CjSp1KtarVq1izat3KtavXr2DDih1LtqzZs2jTql3Ltq3bt3Djyp1Lt67du3jz6t3Lt6/fv4ADCx5MuLDhw4gTK17MuLHjx5AjS55MubLly5gza97MubPnz6BDix5NurTp06hTq17NurXr17Bjy55Nu7bt27hz697Nu7fv38CDCx9OvLjx48iTK1/OvLnz51n9SZ9Ovbr169iza9/OvTt26Mm9pIsfT768+engjZ9fz749+fTE/ZVFD1+4fLL06wO/Pza/ft/8iUXdf78FGNaABPZmIFgIJrjbgl816GBuEHol4YS3VdjVhRjWpiFXHHY424dbhShibCRqZeKJr6UYnX8syuYiVivGyNqMV9Voo2o4WqXjjqj1WNWPQJomJFVEFknakVPBqOSN7kUp5ZRPwjbllViaV2WLWXbp5XdbuvblmGOG+VpAACH+FU1hZGUgd2l0aCBTY3JlZW5Ub0dpZgA7"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "![simulation.gif](attachment:simulation.gif)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "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": "3.8.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}