QCpy-0(FR)concepts_informatique_quantique.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "ff38af6c-5597-41fc-9f71-c322abb3160a",
   "metadata": {},
   "outputs": [
    {
     "data": {
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);\n",
       "    float:left;\n",
       "    margin-left:20px;\n",
       "    margin-right:20px;\n",
       "    margin-top:20px;\n",
       "    margin-bottom:20px;\n",
       "}\n",
       "div.todo{\n",
       "    font-size: 1.1em;\n",
       "    margin-top:40px;\n",
       "    background-color: #b2dbea80;\n",
       "}\n",
       "div.todo ul{\n",
       "    margin: 0.2em;\n",
       "}\n",
       "div.todo li{\n",
       "    margin-left:60px;\n",
       "    margin-top:0;\n",
       "    margin-bottom:0;\n",
       "}\n",
       "\n",
       "figure {\n",
       "    border: 0px;\n",
       "    text-align: center;\n",
       "    margin: 5px; /* adjust as needed */\n",
       "    display: block;\n",
       "    margin: auto;\n",
       "}\n",
       "figure img {\n",
       "    vertical-align: top;\n",
       "    text-align: center;\n",
       "    display: block;\n",
       "    margin: auto;\n",
       "}\n",
       "figure figcaption {\n",
       "    border: 0px;\n",
       "    text-align: center;\n",
       "    font-size: 11px;\n",
       "    margin: auto;\n",
       "}\n",
       "\n",
       "</style>\n"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/markdown": [
       "**Start at:** Thursday 18 July 2024, 14:35:53  \n",
       "**Hostname:** insa-20474 (Linux)"
      ],
      "text/plain": [
       "<IPython.core.display.Markdown object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/markdown": [
       "<p style=\"text-align: center\"><img width=\"800px\" src=\"./config/svg/pyPhysChemBanner.svg\" style=\"margin-left:auto; margin-right:auto\"/></p>"
      ],
      "text/plain": [
       "<IPython.core.display.Markdown object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import os\n",
    "import sys\n",
    "\n",
    "cwd0 = './config/'\n",
    "sys.path.append(cwd0)\n",
    "\n",
    "import visualID_Eng as vID\n",
    "from visualID_Eng import color\n",
    "vID.init(cwd0)\n",
    "\n",
    "__author__ = \"Matthieu CHARNAY, LPCNO (INSA-CNRS-UT3 lab, Toulouse, France)\""
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7d4b888a-034f-4dde-b955-ac55c7713d08",
   "metadata": {},
   "source": [
    "# Les concepts de l'informatique quantique\n",
    "\n",
    "Nous allons dans ce premier Jupyter Notebook approcher les principes fondamentaux de l'informatique quantique pour le néophyte complet.\n",
    "Il n'est pas nécessaire de connaître les modules spécifiques à l'informatique quantique, ni même de savoir bien coder en python pour suivre ce notebook. En tant que lecteur, vous serez guidé à travers les différents concepts dans une démarche \"bac à sable\" afin que vous en reteniez l'essentiel sans rencontrer d'inutiles difficultés.\n",
    "\n",
    "### Sommaire & rappels\n",
    "\n",
    "Nous verrons donc en 4 temps :\n",
    "\n",
    "- la superposition d'états et la sphère de Bloch à l'échelle d'un qubit ;\n",
    "\n",
    "- la superposition d'états à l'échelle d'un système de qubits ;\n",
    "\n",
    "- l'intrication quantique ;\n",
    "\n",
    "- les circuits en informatique quantique.\n",
    "\n",
    "Si vous jugez avoir de trop importantes lacunes dans les idées fondamentales de la mécanique quantique, vous pouvez lire le pdf ci-dessous. Celui-ci fourni une brève explication de tous les concepts clés qui vous seront nécessaires pour suivre ce notebook introductif à l'informatique quantique."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "d25fc6e8-4411-4731-bf4f-8ff8d7dc9389",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "        <iframe\n",
       "            width=\"1280\"\n",
       "            height=\"720\"\n",
       "            src=\"./QCpy-additionalFiles/theoryReminderSheets(FR)/Concepts_cles_mecanique-quantique.pdf\"\n",
       "            frameborder=\"0\"\n",
       "            allowfullscreen\n",
       "            \n",
       "        ></iframe>\n",
       "        "
      ],
      "text/plain": [
       "<IPython.lib.display.IFrame at 0x7f4dcc4573d0>"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from IPython.display import IFrame\n",
    "IFrame(\"./QCpy-additionalFiles/theoryReminderSheets(FR)/Concepts_cles_mecanique-quantique.pdf\", width=1280, height=720)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "164782d5-eb8c-4059-ab15-61339b8fc68a",
   "metadata": {},
   "source": [
    "<hr style=\"border:2px solid gray\">\n",
    "\n",
    "## La superposition d'états et la sphère de Bloch à l'échelle d'un qubit\n",
    "\n",
    "Le nom **qubit** se divise en deux éléments clés :\n",
    "- c'est un **bit** - à valeur binaire, pareillement qu'en informatique classique celui-ci a deux états accessibles : 0 et 1 ;\n",
    "- il est **quantique**, il peut se trouver dans une superposition de tous ses états accessibles.\n",
    "\n",
    "De fait, l'appellation « qubit » désigne tout système quantique à deux états pouvant être utilisé en informatique quantique. Il s'agit d'une appellation purement logicielle - software -, permettant d'unifier toutes les technologies matérielles - hardware - existantes sur le marché. Ainsi, lorsque nous pensons nos algorithmes quantiques, nous nous affranchissons des particularités physiques de telle ou telle solution technologique.\n",
    "\n",
    "$\\newcommand{\\ket}[1]{\\left|{#1}\\right\\rangle}\n",
    "\\newcommand{\\bra}[1]{\\left\\langle{#1}\\right|}$\n",
    "Nous utiliserons trois de ses propriétés :\n",
    "1) la différence d'amplitude entre les états $\\ket{0}$ et $\\ket{1}$\n",
    "2) la différence de phase entre les états $\\ket{0}$ et $\\ket{1}$\n",
    "3) la phase globale du système\n",
    "\n",
    "Les deux premières sont visibles sur ce que l'on appelle la **sphère de Bloch**.\n",
    "\n",
    "![sphere_de_Bloch](QCpy-additionalFiles/illustrations/BlochSphere.png)\n",
    "\n",
    "*illustration par Smite-Meister, licence : CC BY-SA 3.0*\n",
    "\n",
    "Il s'agit d'une représentation tridimensionnelle de la superposition des états du qubit. L'état du système $\\ket{\\psi}$ est représenté par un vecteur allant du centre de la sphère vers sa surface. La représentation se lit ainsi :\n",
    "- l'angle $\\theta$ varie suivant la différence d'amplitude entre les états $\\ket{0}$ et $\\ket{1}$ ;\n",
    "- l'angle $\\varphi$ varie suivant la différence de phase entre les états $\\ket{0}$ et $\\ket{1}$.\n",
    "\n",
    "Si on écrit $\\ket{\\psi}=\\alpha\\ket{0}+\\beta e^{i\\phi}\\ket{1}$ , ($\\alpha,\\beta,\\phi\\in\\mathbb{R}$) alors on peut donner :\n",
    "- $\\theta=2\\arccos\\left(\\alpha\\right)=2\\arcsin\\left(\\beta\\right)$\n",
    "- $\\varphi\\equiv\\phi\\pmod{2\\pi}$\n",
    "\n",
    "Si le vecteur est vertical tourné vers le haut, cela signifie que l'on se trouve dans l'état $\\ket{\\psi}=\\ket{0}$. Si au contraire, le vecteur est vertical tourné vers le bas, cela signifie que l'on se trouve dans l'état $\\ket{\\psi}=\\ket{1}$.\n",
    "Si le vecteur est horizontal, cela signifie que l'on se trouve dans un état de superposition à modules d'amplitudes égaux : $\\ket{\\psi}=\\dfrac{1}{\\sqrt{2}}\\left(\\ket{0}+e^{i\\phi}\\ket{1}\\right)$ ; le vecteur tournera autour de la sphère de Bloch en fonction de la différence de phase entre les deux amplitudes.\n",
    "\n",
    "**ATTENTION** : appliquer une phase globale au système ne changera pas la représentation du système sur la sphère de Bloch. On aura le même vecteur pour $\\ket{\\psi_0}=\\alpha\\ket{0}+\\beta e^{i\\phi}\\ket{1}$ et pour $\\ket{\\psi_1}=e^{i\\omega}\\left(\\alpha\\ket{0}+\\beta e^{i\\phi}\\ket{1}\\right)$ , ($\\omega\\in\\mathbb{R}$).\n",
    "\n",
    "### À vous de jouer !\n",
    "\n",
    "Vous allez ci-dessous pouvoir explorer la représentation dans la sphère de Bloch grâce à un code préfait à trou. Il vous suffit de rentrer l'amplitude complexe des kets $\\ket{0}$ et $\\ket{1}$, et le programme vous affichera à quoi correspond la représentation dans la sphère de Bloch.\n",
    "\n",
    "**Remarque** : l'amplitude du vecteur global $\\ket{\\psi}=A\\ket{0}+B\\ket{1}$ , ($A,B\\in\\mathbb{C}$) est automatiquement normalisée par le programme.\n",
    "\n",
    "Ce programme utilise la libraire *qutip* (Quantum Toolbox in Python), destinée à la simulation de systèmes quantiques. Nous ne nous en servirons ici qu'à des fins d'illustration, mais il s'agit d'un outil à connaître."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "49a01f4f-1350-4c0b-9eb5-e444f770964e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 500x500 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from qutip import *\n",
    "\n",
    "def plotKetBloch(ket):\n",
    "    fig=plt.figure()\n",
    "    ax=fig.add_subplot(111,projection=\"3d\")\n",
    "    sphere=Bloch(axes=ax)\n",
    "    sphere.add_states(ket)\n",
    "    sphere.show()\n",
    "\n",
    "##Rentrer les amplitudes sous la forme x+yj :\n",
    "amplitudeEtat0=1+0j\n",
    "amplitudeEtat1=0+1j\n",
    "\n",
    "##Traitement et affichage :\n",
    "etatTotal=np.array([[amplitudeEtat0],[amplitudeEtat1]])\n",
    "etatTotal=etatTotal/np.sqrt(np.real(etatTotal[0]*np.conjugate(etatTotal[0])+etatTotal[1]*np.conjugate(etatTotal[1])))\n",
    "plotKetBloch(Qobj(etatTotal))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3ac598b3-b0f5-40e3-b23b-dd0cea0eaa0e",
   "metadata": {},
   "source": [
    "Il existe de nombreux systèmes quantiques différents pouvant être utilisés comme unité primaire. Certains ont deux états accessibles, comme les électrons ou les boucles supraconductrices, et sont utilisées en tant que qubits. D'autres systèmes peuvent avoir plus d'états accessibles, on parle alors de qutrits (3 états accessibles, $\\ket{0},\\ket{1},\\ket{2}$) ; de ququarts (4 états accessibles, $\\ket{0},\\ket{1},\\ket{2},\\ket{3}$) ; et de qudits (au-delà de 4 états accessibles).\n",
    "\n",
    "Pour leur compatibilité immédiate avec l'informatique classique et ses algorithmes, les systèmes à qubits ont jusqu'ici été très privilégiés. Nous nous concentrerons donc sur ceux-ci.\n",
    "\n",
    "<hr style=\"border:2px solid gray\">\n",
    "\n",
    "## La superposition d'états à l'échelle d'un système de qubits\n",
    "\n",
    "Lorsque notre système comprend plusieurs qubits, on peut écrire son état sous la forme d'un unique ket (ou vecteur) : $\\ket{x_{q1}x_{q2}...x_{qN}}$ , ($x_{qi}$ état du $i^{ème}$ qubit). Le nombre d'états accessibles croît exponentiellement avec la quantité de qubits, en $2^N$. On note les états accessibles en fonction du nombre de qubits :\n",
    "$$\\begin{array}{lcr}\n",
    "\\mbox{1 qubit :} & \\ket{0} & \\ket{1} \\\\\n",
    "\\mbox{2 qubits :} & \\ket{00} & \\ket{01} & \\ket{10} & \\ket{11} \\\\\n",
    "\\mbox{3 qubits :} & \\ket{000} & \\ket{001} & \\ket{010} & \\ket{011} & \\ket{100} & \\ket{101} & \\ket{110} & \\ket{111} \\\\\n",
    "...\\end{array}$$\n",
    "\n",
    "On ne réfléchit plus alors à l'échelle des qubits, mais bien à l'échelle du système. À un instant donné, le système se trouvera dans une combinaison linéaire de tous ses différents états accessibles ; une mesure de tous les qubits du système le forcera à choisir l'un de ces états (avec une probabilité dépendant de sa proportion dans la combinaison).\n",
    "\n",
    "<hr style=\"border:1px light gray\">\n",
    "\n",
    "Par exemple, prenons un système à deux qubits, une série d'opération nous permet de construire l'état suivant : \n",
    "$$\\ket{\\psi}=\\dfrac{1}{2\\sqrt{2}}\\left(\\ket{00}+\\ket{01}\\right)+\\dfrac{\\sqrt{3}}{2\\sqrt{2}}\\left(\\ket{10}+\\ket{11}\\right)$$\n",
    "\n",
    "Une mesure de l'état des deux qubits nous donnera :\n",
    "- $\\ket{00}$ dans 12,5% des cas\n",
    "- $\\ket{01}$ dans 12,5% des cas\n",
    "- $\\ket{10}$ dans 37,5% des cas\n",
    "- $\\ket{11}$ dans 37,5% des cas\n",
    "\n",
    "<hr style=\"border:1px light gray\">\n",
    "\n",
    "En plaçant notre système dans une superposition d'états, il est alors possible de travailler sur eux-tous _à la fois_. Les opérations que nous appliquerons sur notre système s'appliqueront sur toute la superposition d'états.\n",
    "\n",
    "Dans le cas présent, les qubits sont *indépendants*. Cela signifie que l'on peut écrire l'état du système comme le produit tensoriel de l'état de chacun des qubits :\n",
    "$$\\left(\\dfrac{1}{\\sqrt{2}}\\ket{0}_0+\\dfrac{1}{\\sqrt{2}}\\ket{1}_0\\right)\\otimes\\left(\\dfrac{1}{2}\\ket{0}_1+\\dfrac{\\sqrt{3}}{2}\\ket{1}_1\\right)=\\ket{\\psi}$$\n",
    "$$(avec  \\ket{x}_0\\otimes\\ket{y}_1=\\ket{xy})$$\n",
    "\n",
    "\n",
    "Une mesure d'un unique qubit (ou d'un sous-ensemble de qubits) fera s'effondrer la fonction d'onde du système sur tous ses états compatibles avec la mesure réalisée. Par exemple si nous mesurons l'état $\\ket{1}_0$ sur le premier qubit, alors la fonction d'onde du système deviendra :\n",
    "$$\\ket{\\psi'}=\\dfrac{1}{2}\\ket{10}+\\dfrac{\\sqrt{3}}{2}\\ket{11}$$\n",
    "\n",
    "<hr style=\"border:2px solid gray\">\n",
    "\n",
    "## L'intrication quantique\n",
    "\n",
    "Il peut arriver que les qubits ne soient pas indépendants. Lorsque c'est le cas, on dit qu'ils sont **intriqués**. Cela signifie que l'état de l'un est directement lié à l'état de l'autre. Il est alors strictement impossible de décrire le système comme une simple juxtaposition de qubits ; il faut le traiter comme un ensemble.\n",
    "\n",
    "<hr style=\"border:1px light gray\">\n",
    "\n",
    "Un exemple simple est la superposition d'états suivante :\n",
    "$$\\ket{\\psi}=\\dfrac{1}{\\sqrt{2}}\\left(\\ket{00}+\\ket{11}\\right)$$\n",
    "\n",
    "Dans cette superposition d'état, les deux qubits intriqués ont systématiquement le même état.\n",
    "\n",
    "On note deux propriétés de ce système intriqué :\n",
    "- Il est impossible d'écrire le système sous la forme $\\ket{\\psi}=\\left(\\alpha\\ket{0}_0+\\beta\\ket{1}_0\\right)\\otimes\\left(m\\ket{0}_1+n\\ket{1}_1\\right)$ ;\n",
    "- La mesure de l'état de l'un des qubit permet de connaître l'état du système entier : mesurer $\\ket{1}_0$ sur le premier qubit impliquera nécessairement que le deuxième qubit soit dans l'état $\\ket{1}_1$ sans avoir à le mesurer.\n",
    "\n",
    "<hr style=\"border:1px light gray\">\n",
    "\n",
    "De manière plus générale, nous avons :\n",
    "- que l'état de qubits intriqués ne *peut pas* être décrit par un produit tensoriel des états des qubits individuels ;\n",
    "- la mesure de l'état de l'un des qubits intriqués fournit une information complète ou partielle de l'état du reste du système.\n",
    "\n",
    "L'information fournit par la mesure de l'état d'un des qubits peut n'être que partielle en ce qu'elle ne fournit pas nécessairement un état exact dans lequel le système se trouverait. Prenons à titre d'exemple un système à 3 qubits :\n",
    "$$\\ket{\\psi}=\\dfrac{1}{\\sqrt{2}}\\ket{000}+\\dfrac{1}{2}\\left(\\ket{101}+\\ket{110}\\right)$$\n",
    "Dans ce cas, il est évident que les trois qubits sont bien intriqués : \n",
    "- il n'existe aucun état pour lequel la valeur des qubits 1 et 2 soit respectivement $\\ket{0}_0$ et $\\ket{1}_1$.\n",
    "- il n'existe aucun état pour lequel la valeur des qubits 1 et 3 soit respectivement $\\ket{0}_0$ et $\\ket{1}_2$.\n",
    "- il n'existe aucun état pour lequel la valeur des qubits 2 et 3 soit respectivement $\\ket{1}_1$ et $\\ket{1}_2$.\n",
    "\n",
    "Pourtant, une mesure du deuxième qubit ne donnera pas nécessairement l'état du premier et du troisième. Si par exemple nous mesurons l'état $\\ket{0}_1$, alors la fonction d'onde du système s'effondrera sur les états compatibles avec cette mesure, on aura alors :\n",
    "$$\\ket{\\psi'}=\\dfrac{2}{\\sqrt{3}}\\left(\\dfrac{1}{\\sqrt{2}}\\ket{000}+\\dfrac{1}{2}\\ket{101}\\right)$$\n",
    "(Le facteur $\\dfrac{2}{\\sqrt{3}}$ sert à la normalisation de la fonction d'onde)\n",
    "\n",
    "La mesure de ce deuxième qubit n'a pas donné avec certitude l'état des autres, mais a modifié la probabilité de mesures de leurs différents états individuels.\n",
    "\n",
    "\n",
    "### À vous de jouer !\n",
    "\n",
    "Vous allez pouvoir tester l'effet de la mesure de qubits sur un système grâce à un code préfait à trou. Il vous suffit de rentrer :\n",
    "- l'état initial du système ;\n",
    "- le(s) qubit(s) à mesurer.\n",
    "\n",
    "Le programme rendra alors en sortie la nouvelle fonction d'onde normalisée du système (*ie.* le nouvel état normalisé du système)."
   ]
  },
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   "cell_type": "code",
   "execution_count": 5,
   "id": "f7b04d55-7ff8-4aee-965a-8a6e87b5e308",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
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     "text": [
      "Fonction d'onde initiale : sqrt(102)*(3*|001> + 4*|010> + sqrt(2)*|111>/2)/51\n",
      "\n",
      "Nous avons mesuré l'état des qubits [0, 2], pour des valeurs obtenues de respectivement [0, 1].\n",
      "\n",
      "La fonction d'onde du système est alors : |001>\n"
     ]
    }
   ],
   "source": [
    "import sympy as sp\n",
    "from sympy.physics.quantum.state import *\n",
    "\n",
    "def buildWaveFunction(tab):\n",
    "    wavefunction=0\n",
    "    normalisateur=0\n",
    "    for el in tab:\n",
    "        wavefunction+=el[0]*Ket(el[1])\n",
    "        normalisateur+=el[0]*sp.conjugate(el[0])\n",
    "    return(wavefunction/sp.sqrt(normalisateur))\n",
    "\n",
    "def buildCollapsedWaveFunction(tab,qubitMesure,valeurMesure):\n",
    "    wavefunction=0\n",
    "    normalisateur=0\n",
    "    for el in tab:\n",
    "        test=1\n",
    "        for i in range(len(qubitMesure)):\n",
    "            if(int(el[1][qubitMesure[i]])!=valeurMesure[i]):\n",
    "                test=0\n",
    "        if(test):\n",
    "            wavefunction+=el[0]*Ket(el[1])\n",
    "            normalisateur+=el[0]*sp.conjugate(el[0])\n",
    "    if(normalisateur!=0):\n",
    "        return(wavefunction/sp.sqrt(normalisateur))\n",
    "    else:\n",
    "        return(0)\n",
    "\n",
    "##Rentrer une fonction d'onde initiale\n",
    "# elle doit être sous le format [[amplitude1,'etat1'],...,[amplitudeN,'etatN']]\n",
    "# pour des amplitudes flottantes, nous conseillons d'utiliser le module sympy : sp\n",
    "definitionEtatSysteme=[[3,'001'],[4,'010'],[1/sp.sqrt(2),'111']]\n",
    "\n",
    "##Rentrer le qubit mesuré ainsi que sa valeur mesurée, tout deux au format de liste d'entiers \n",
    "qubitMesure=[0,2] #/!\\ l'indexation commence à 0\n",
    "valeurMesure=[0,1] #la valeur doit être soit 0 soit 1\n",
    "\n",
    "##Traitement et affichage :\n",
    "print(\"Fonction d'onde initiale :\",buildWaveFunction(definitionEtatSysteme))\n",
    "if(len(qubitMesure)==1):\n",
    "    print(\"\\nNous avons mesuré l'état du qubit n°\",*qubitMesure,\", pour une valeur obtenue de \",*valeurMesure,\".\",sep='')\n",
    "else:\n",
    "    print(\"\\nNous avons mesuré l'état des qubits \",qubitMesure,\", pour des valeurs obtenues de respectivement \",valeurMesure,\".\",sep='')\n",
    "fonctionFinale=buildCollapsedWaveFunction(definitionEtatSysteme,qubitMesure,valeurMesure)\n",
    "if(fonctionFinale!=0):\n",
    "    print(\"\\nLa fonction d'onde du système est alors :\",fonctionFinale)\n",
    "else:\n",
    "    print(\"Cette mesure est impossible. La fonction d'onde définie ne le permet pas.\")"
   ]
  },
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   "cell_type": "markdown",
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   "source": [
    "Mais comment concrètement pouvons nous placer un système dans une superposition d'états donnée ? C'est le rôle des **circuits quantiques**.\n",
    "\n",
    "<hr style=\"border:2px solid gray\">\n",
    "\n",
    "## Les circuits quantiques\n",
    "\n",
    "Les circuits quantiques forment de fait le gros de ce que l'on appelle aujourd'hui l'informatique quantique. \n",
    "\n",
    "En voici un exemple :\n",
    "\n",
    "![circuit_paire_bell.png](QCpy-additionalFiles/illustrations/circ_paire_bell.png)\n",
    "\n",
    "#### Comment lire un diagramme de circuit quantique ?\n",
    "\n",
    "1) Un circuit quantique est en fait une suite d'opérations agissant sur un **registre de qubits**. Dans le cas présent, ce registre est composé deux qubits, visibles sur la gauche : Q0 et Q1.\n",
    "\n",
    "2) La double ligne supplémentaire correspond à un registre de **bits classiques**, permettant de récolter, stocker ou exploiter des données classiquement. C'est notamment ici que l'on pourra stocker le résultat de la mesure d'un qubit.\n",
    "\n",
    "3) Le diagramme se lit de gauche à droite. Au fur et à mesure de l'avancée dans le circuit, les qubits subissent des **portes quantiques** qui vont modifier leur état. Une porte quantique peut s'appliquer sur un ou plusieurs qubits.\n",
    "\n",
    "<div class=\"alert alert-block alert-warning\">\n",
    "<b>Attention :</b> le diagramme est en fait une représentation <i>temporelle</i> et non spatiale (comme l'on aurait en informatique classique). Dans les ordinateurs quantiques, les qubits sont des éléments pris immobiles sur lesquels on opère des actions qui modifient leur état (par l'application d'un champ magnétique, d'un champ électrique... en fonction du système).\n",
    "</div>\n",
    "\n",
    "4) L'**état initial** de chaque qubit est $\\ket{0}_x$ (sauf dans certains systèmes physiques précis). À partir de cet état initial non intriqué, le développeur d'algorithme quantique construit lui même une superposition à partir d'opérations.\n",
    "\n",
    "5) Pour terminer, les qubits sont **mesurés** (valeurs stockées sur les bits classiques C0 et C1), le système choisit alors un état. Il s'agit du résultat exploitable de l'ordinateur quantique.\n",
    "\n",
    "#### Les clés de base pour le développeur d'algorithmes quantiques\n",
    "\n",
    "Nous donnons les éléments clés permettant au développeur d'algorithmes quantiques de construire ses circuits :\n",
    "- Toutes les portes quantiques sont traduisibles en **matrices** unitaires s'appliquant sur les **vecteurs d'état** du système ;\n",
    "- Toutes les portes quantiques à N qubits sont traduisibles en des familles primitives de portes à 1 ou 2 qubits - quasi-universelles à tous les systèmes physiques.\n",
    "\n",
    "Une __[liste de ces portes primitives](./QCpy-additionalFiles/available_gates.ipynb)__ est proposée par défaut dans la bibliothèque myqlm (pour écrire, simuler, optimiser et exécuter des programmes quantiques par le biais d'une interface Python). Les 4 colonnes vous donnent :\n",
    "- le nom commun de la porte ;\n",
    "- son appellation dans le langage de la librairie myqlm ;\n",
    "- le nombre de qubits qu'elle affecte ;\n",
    "- sa représentation matricielle.\n",
    "\n",
    "### À vous de jouer !\n",
    "\n",
    "Vous allez pouvoir construire votre premier circuit quantique ! Pour ce faire, il vous suffira de remplir le code à trou suivant.\n",
    "Vous devrez :\n",
    "- donner l'état initial du qubit - bien que celui-ci soit usuellement fixé à $\\ket{0}$, nous donnons une liberté supplémentaire pour le bien de l'apprentissage ;\n",
    "- donner la suite de portes quantiques à lui appliquer.\n",
    "\n",
    "Seront alors affichés :\n",
    "- le circuit quantique appliqué, précédé d'une porte quelconque \"Initialisation\" plaçant le qubit dans l'état initial précisé ;\n",
    "- les représentations matricielles des kets initiaux et finaux (tous deux normalisés), et la matrice du circuit quantique complet ;\n",
    "- l'état initial du qubit sur la sphère de Bloch ;\n",
    "- l'état final du qubit sur la sphère de Bloch.\n",
    "\n",
    "<div class=\"alert alert-block alert-info\">\n",
    "<b>Remarque :</b> seules des portes à 1 qubit peuvent être utilisées.\n",
    "</div>"
   ]
  },
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   "cell_type": "code",
   "execution_count": 6,
   "id": "9a5bce52-573a-4f31-a27a-abcf2fd5aeb4",
   "metadata": {},
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     "text": [
      "Nous affichons ici en quatre temps :\n",
      "- le circuit quantique appliqué, précédé d'une porte quelconque \"Initialisation\" plaçant le qubit dans l'état initial précisé ;\n",
      "- les représentations matricielles des kets initiaux et finaux (tous deux normalisés), et la matrice du circuit quantique complet ;\n",
      "- l'état initial du qubit sur la sphère de Bloch ;\n",
      "- l'état final du qubit sur la sphère de Bloch.\n"
     ]
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AAAAAAABAgMEBQYHCAkKCwwNDg8QERITFBUWFxgZGhscHR4fICEiIyQlJicoKSorLC0uLzAxMjM0NTY3ODk6Ozw9Pj9AQUJDREVGR0hJSktMTU5PUFFSU1RVVldYWVpbXF1eXwAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAL9mAGFjAAAAAAAAZ2QAAAAAAAAAYmjFAACbAAAAiwAAAAAAAAAAAAAAAGAAAAAAALm6vb67vAAAAADCAAAAAADAaQAAAAAAAAAAAAAAAAAAAAAAAABsbnNlcHFyAAAAbwAAAAMAAP/vq4X/tQAyAAAAAAAAAAAAAAAAAAAAAAAAAAABAAQEAAEBARhTVElYTWF0aEpheF9NYWluLUl0YWxpYwABAgABADb4awD4bAH4bQL4bgP4bwQe4Woz/wwCWQwD/Fn7Zvoe+cgFHAUnDxwAABAcBroRHAAxHE0hEgBVAgABAAgADwAWAB0AJAArADIAOQBAAEcATgBVAFwAYwBqAHEAeAB/AIYAjQCUAJsAogCpALAAtwC+AMUAzADTANoA4QDoAO8A9gD9AQQBCwESARkBIAEnAS4BNQE8AUMBSgFRAVgBXwFmAW0BdAF7AYIBiQGQAZcBngGlAawBswG6AcEByAHPAdYB3QHkAesB8gH5AgACBwIOAhUCHAIjAioCMQI2A+0EBAQVBBt1bmkwMEEwdW5pMDEyN3VuaTAyMzd1bmkwMzkxdW5pMDM5MnVuaTAzOTN1bmkwMzk0dW5pMDM5NXVuaTAzOTZ1bmkwMzk3dW5pMDM5OHVuaTAzOTl1bmkwMzlBdW5pMDM5QnVuaTAzOUN1bmkwMzlEdW5pMDM5RXVuaTAzOUZ1bmkwM0EwdW5pMDNBMXVuaTAzQTN1bmkwM0E0dW5pMDNBNXVuaTAzQTZ1bmkwM0E3dW5pMDNBOHVuaTAzQTl1bmkwM0IxdW5pMDNCMnVuaTAzQjN1bmkwM0I0dW5pMDNCNXVuaTAzQjZ1bmkwM0I3dW5pMDNCOHVuaTAzQjl1bmkwM0JBdW5pMDNCQnVuaTAzQkN1bmkwM0JEdW5pMDNCRXVuaTAzQkZ1bmkwM0MwdW5pMDNDMXVuaTAzQzJ1bmkwM0MzdW5pMDNDNHVuaTAzQzV1bmkwM0M2dW5pMDNDN3VuaTAzQzh1bmkwM0M5dW5pMDNEMHVuaTAzRDF1bmkwM0QydW5pMDNENXVuaTAzRDZ1bmkwM0Q4dW5pMDNEOXVuaTAzREF1bmkwM0RCdW5pMDNEQ3VuaTAzRER1bmkwM0RFdW5pMDNERnVuaTAzRTB1bmkwM0UxdW5pMDNGMHVuaTAzRjF1bmkwM0Y0dW5pMDNGNXVuaTAzRjZ1bmkyMDNFdW5pMjBEN3VuaTIxMTN1bmkyMjAydW5pMjRDOHVuaUVGRkR1bmlFRkZFdW5pRUZGRjEuMS4xQ29weXJpZ2h0IChjKSAyMDAxLTIwMTEgYnkgdGhlIFNUSSBQdWIgQ29tcGFuaWVzLCBjb25zaXN0aW5nIG9mIHRoZSBBbWVyaWNhbiBDaGVtaWNhbCBTb2NpZXR5LCB0aGUgQW1lcmljYW4gSW5zdGl0dXRlIG9mIFBoeXNpY3MsIHRoZSBBbWVyaWNhbiBNYXRoZW1hdGljYWwgU29jaWV0eSwgdGhlIEFtZXJpY2FuIFBoeXNpY2FsIFNvY2lldHksIEVsc2V2aWVyLCBJbmMuLCBhbmQgVGhlIEluc3RpdHV0ZSBvZiBFbGVjdHJpY2FsIGFuZCBFbGVjdHJvbmljIEVuZ2luZWVycywgSW5jLiAgUG9ydGlvbnMgY29weXJpZ2h0IChjKSAxOTk4LTIwMDMgYnkgTWljcm9QcmVzcywgSW5jLiAgUG9ydGlvbnMgY29weXJpZ2h0IChjKSAxOTkwIGJ5IEVsc2V2aWVyLCBJbmMuICBBbGwgcmlnaHRzIHJlc2VydmVkLgpDb3B5cmlnaHQgKGMpIDIwMTMgVGhlIE1hdGhKYXggQ29uc29ydGl1bVNUSVhNYXRoSmF4X01haW4tSXRhbGljU1RJWCBNYXRoSmF4IE1haW5JdGFsaWMAAAAAAQACAAMABAAFAAYABwBoAAkACgALAAwADQAOAA8AEAARABIAEwAUABUAFgAXABgAGQAaABsAHAAdAB4AHwAgACEAIgAjACQAJQAmACcAKAApACoAKwAsAC0ALgAvADAAMQAyADMANAA1ADYANwA4ADkAOgA7ADwAPQA+AD8AQAB8AEIAQwBEAEUARgBHAEgASQBKAEsATABNAE4ATwBQAFEAUgBTAFQAVQBWAFcAWABZAFoAWwBcAF0AXgBfAYcAYgBkAGYAgwCAAKEAfQCYAHIApwGIAJEBiQB+AIgAgQCCAIQAfwGKAYsBjAGNAY4BjwGQAZEBkgGTAZQBlQGWAZcBmAGZAZoBmwGcAZ0BngGfAaABoQGiAaMBpAGlAaYBpwGoAakBqgGrAawBrQGuAa8BsAGxAbIBswG0AbUBtgG3AbgBuQG6AbsBvAG9Ab4BvwHAAcEBwgHDAcQBxQHGAccByAHJAcoBywHMAc0BzgBvAIkAQQAIAGkAdwBwAHEBzwBjAdAB0QHSAdMB1AHVAdYAygIAAQAEAAcATwCRAPIBjwJYAyUDSwODA8MEmwTABMwE4QUBBRgFdwXQBjIGtgbtB0YHugfkCGwI6wkdCTwJWQl3CZUKEArVCvELDAt3C+sL/Qx7DRQNJw03DZUNpQ38DgwOJA45DlAO+g+CEBcQJhCoEPkRfhGNEgASDxJHEl8SlhK4EscS7xOHE/4UWxT/FWIV5Ba1Fz8XZxeUGBcYbhlFGeQZ/RqPGwYbaBv4HGUdAB14Hhoewx9SH8AgKyBBIK0g7yDyIaEiQiMrI0MjWCOQI7UkQSRjJOolhyXeJfMmECYrJlImZCaeJugnBCcfJ3cnmSerJ7onzShHKFcoZyi2KMYo3ilzKYgp9ioNKlgqZyr0K4ormSw9LMYtQC3bLiwunS8jL5kwMzCkMLcxMzGlMisydDMPMygzpjQPNF40sDUDNXg1/zZwNvM3pzg6OPE5gzoFOqg7BDtHO708RjyrPNM9Vj16Peo+QT6wPxA/XT/BQCZAOUBOQGBAckCMQKZBUkJmQnVCiUK8Q0RDtUSNRKdEwETP+IQO+5IO+z+A9fi8nwGy9QP3HfdFFcf3OKHBue2qzZOmi6mLrXucb4tli3lsfjZ1+yKDZmL7Ugik+yEVqHakbG9xc29sn3SpqaWjpx4ON/kanwH37vg5Fcb3FKbUi5uLm3uXeotyi3R8hXCGc4I8gycI+zAWxvcTptWLm4ubfJd6i3KLc3yFcIZzgjyDJwgOiIuf91XB9yPBAfiw+GQVLIvb92hOizv7aPsWi9v3aE6LO/toIYuAVeyLVfsjIYuAVeuLBTv7acmL2vdp9xaLO/tpyYva92nzi5bBLYvB9yPziwX7ORZV+yP7FovB9yMFDoufAfcP2fdH1gP4hfj3FWuiYZ1clgibz2mLekx5iwVCi2CCYV5xb3tsi1yLP7Bj7UwIRvu9BT2ja6yG9Ah7iHH7DwWva8J0xYAIdTCui6DkBeGLq5DCtbaso76Lxovgcq77CeEIw/eBBcp0n2aNQQiaiQX7GfckFVT7cwVOsHiqi7kIw7nA1B5s++MVkYYFz1OceYtRizRWWyGCCA73j3im97qnh6b3eqW6nxLb0vdRo8PT91KiE9+A+VX3aRXVaLZOKy4jID3AT88e4dn3A/cNH3SNFSFKJkZrc6iyHovPreO3upeZoJSbiwixpGhXH2H4fxVfBi8yfoNNi2aLc5VoqHChf5F2iwglMCf7BR8TN4A9vlDOHqyLpZampbu4q9aL0YubipaInKuAnYili8CLqpmwtgj8Hv0muosF9xb43xX7B04mRGl0p7Uei8Kcxqq8n6yWlbSfnHmYgpmEoIGPhItuCA73pnm8Wr/47KsS1+n3Ltz3BNATvPlcyhVzdHSCdItci2imY86ps6evp7W+1pWVvZAInPtQeAeziJaEi3WLaHpqTURsvGbiePDIqqecpqOwq56vi64IwGG0TilOPvsJHouAi2KSYSZfYHhnblpjcVOLVAgTXCrSU/cDHsuLw5zayQgTvLNWvXG3i8WLtZyrwAj7YvicFYtZdWI2Voepip+LpQjkrLSzpJl1Yx4TXDr8cxVbZmN1WYs8i1q/i9WL2c3Q7LEIr/sTrDmtYAgO+7b5Gp8B9y/4ORXG9xOm0oubi5t+mnWLbot6eoZ1hXOCOYMnCA77P/kdnwG10AP3wvkxFS83VFdkTFc2dSWLJIv7FK77FsskCJ2RBWbxgMiL7Iv3YL/3cfcs9yQIDvs/+R2fAfdw0AP3P/ksFa06mjqLJ4stefsHbCtpIWZINzIImHwF5tq/w7LOveGn6ovwi8GExX/DetV7slzfCA75Gp8B99z4XxW2ppyTupG2kJmbi6GLoX+cdIt+i4GHfHpVUomJX26LupGklasIkqOPmIuWCKJ+nXRygXpyHouCjX6Rd5ldj3mLYGSieJtqsHeifpN7i3eLfniLd4tzn3y0hgi1hq16nIEIl4QFYHF9hVyDYIR4eotzi3abgJ6LnIucl5ygp66XlKqelJCPjY6OCItYhnJ+Z4R2iICLggh1lnulp5Sbox6LlImShZ18tYehisAInX4FqnWZhKVqnnSXgpqLoYubl4uki6J4ml6Ra494lX+RCA73P4uf91zNAffFzQP44vdwFc37b/dwSftw+29J92/7cM33cAcO+5LSywOQ+xUVIAoO+z/3VMoB9673kxX7b4t9TPdwiwUO+5KA9wMBpvcDA/cethWqcaVtbXJya26kcqerpaOpHg77dnmf+RifAfgW+S4VQov8Dv1A1IsFDoSn+QenAava98faA/iF+D0V9zZS5CX7Mfsp+3X7f/sfwzfxHrWLtpm0qPLU2fc9i/cnCDzoFYv7FmT7OVElZkldaV2LW4tqvYvgi/a+91i/6a/Msqm4i8eLo1mLOwgOi58B+CX5OBU+e4eNM3gIdIaLfAWejKGMnYsIjgahmH94H4uEiIGGeAj7HPx8BYBldYA8hQh896uadgdfdZSiH4uVlrKSpAj3I/ibBY+ZjZWLkAiPiY6IHg6L1/ij1AH4AuED8PiPFa7OvqjHi9qLs1eLRot1iHiFfnNVXkxJRQj7Zvt0i3r39ou99xp6kgVzWXd8UIsI+0mQBvdQ91QF9wr3Daq5i86L6knVK4tdi2B/ZG1ocHRpc1AIDoSx+O+1EvfZ23DiE9D3RvjLFa+6rJ+2i8CLrmeLVIthd2hhbmBtYX0xewh7owcT4OvLWfsAH4tcf1txbHJvaHlqi3iLcZRxonCjeZF4iwhxenlyarJz0x/Ti8uevLbEva/Ri9qL1HC4R6UIjgcT0PcGs7Syi9WL01W9PYtBi0trakMIDouf9zLKAfhz+TgVYov8NfxDd0j3mota+0bai7n3RvCLmcoriwWa99YVK/vW+2iLi4/3xPfSBQ6EtfjE0gH38tAD+H/5LhX7lIsj+26LewXpfa95r26rcaBdi1aL+wQ2KDGLb4uBk3Ggc597k3uLCHR6eHRjunrG9zn3GfcS9zkfi/cbM8r7GKQIsuP3eosFDoSl+ByvAanX95/kA/id+UIV+yJ6RHAtQfsIMEf7Gov7Gwj7F8U39wz3IPcG9xP3K/FA1S8eb4tlhnF7CIeNBdH3E/cY7vcMmwj7KPwRFYtJdDhoV2tcanVdi1OLYbyL3YvUoeGpuaOwrp6yi9GLulmLQwgOg5/42dQB+K35JBWElfwJizn7HJqBBbvEpJvNiwj3a4uNiPwD/OrRiwUOhKH5EqISqc+z2fct1njPE+j3dff8FfsMaEBFiy0I+wvsWvH3EObY9wMei9RuuzXaCIwHE9T3DK+3t4vZCNxJwiAgQFMrHotVoGfNQgj3XPc9FYtUcGg0Yj3UeqqLtQjMsbbLy7ZXRB4T6FP8CxVGVkQ8R0S/3R6L4sbV5a0I9wL7Bpd5i1IIDnqf93a5+AulAdDj95jWA/f096QVe15bRktWQU5bcjx6CHgH9xihzKTbyfcP6tD3GIv3H4v3GEvh+wmLVYtWeGFlU1hmO4s7iyLJQeOLCLSLrpfArAjQ94gVi0FzLm9tcm9geWOLS4tnvYvki8qezq24p7Cso7qLyYuwWos4CA77P4D3A/d69wMSvfcDgPcDE9D3mfgUFSEKE+An++kVqnKlbWxycWxupHKoHquko6kfDvs/9973AxLxy3v3AxOg95n4FBUhChPA+3X8lRUgCg73P4GfAfjkgRWL0/w491P4OPdTi9P8kPt6i0kFDvc/9wzN9xrNAfji99QVzfyMSQf4jPtcFc38jEkHDvc/gZ8B+OT3cBWLzfyQ93qLQ/g4+1P8OPtTi0MFDn/0+LmhEvcY9FbL9yrVE9j3bPdCFZKnBZnEqbXVwvcI4pqvi8gI3lS0KT1SXkttl3ijo52fmx6Lk4qRhpaFmImRi5MIqaWdt76oZV8ei1d4XEpKMzOBbHknCBPgsvsfFRPQqHOlbh4T4G50dWofE9BtoXepHqekoacfDvg0ebL3CaxrtfenuPcaqhL3Ct73DNL4CrMT3/lCzxU+aFJ/SYsI+0D7BfcP90L3UPcH9xX3N/cw9xf7Dfsi+wBILk5ze5imH4uQjJaRogjI94BGi4FmBX6wc5psiwj7DT77LSMfEydMtGG9HrWLuKStuQgTz5Vdq3G6iwju4Pb3FPcs+xH3Iftc+1/7NPsu+1X7Uvcw+yf3XB/Si8aY6bcIEzf7FPf3FSRN+wJSZnWrvx6Lvp26qLGmrrKfpIsIqJZyZh8O9ouf92Kv+BafAfjIFiIKvfeaFftWi/cp95sFDvaLqfjlqQH3FvkhFSMK+xj7thUkCltrFSUKDvc3ebj4768B+UX5LBV2BoN7gYV3i4KLf4t3kmGaYY1qizyLP3BLXfsCPT77F4v7IYv7OfcAK/ctiwjyi9u25fUIeZoFNDFPbjmL+wOLS8yL9yCL9wKv9wbT2MLG0bHVi+OLvFOXIAidiAUO926LqfjlqQH3F/khFXsHyImaf4twi3yHeIRyCPsO/FEFe1CBhFOBCHv3lQf3CYvwpdTE7dfJ8Iv3EAj3Q/sJ6ftDHilGFZWuoY+xi8WLtX+qdLxmqEyLO4smZPsKREZNTz1tJotdi3WWi6UIi5iQn5zJCA72i6z3uK/3l6wB+Q75IRUmCg72i5/47KwB+Rn5IRX8hXsGzYWVhYtvi3uId4RyCPsP/E4FfFeBdVGHCHv3j5sHUI95louji5qSn5KkCMb3aQWwiaOKoYu6i6eHi2OLe4l9hWwInIbX9395kAVeMYiJ+zyJCMv3dwWSpZqRuYv3RIuifotCi4WLhoh1CKCJBQ73bnmw+PmtAflm99MV+597BquIBayImX+LeYt1hXN3SHU+hn9/f3V1ZX9ei/sVi0LZi/cXi/cDtPcDzN4Iu8jPsdqLyYu7dqploXCYZ41gCJ2IvPdZfJAFenN6gXGLgIuBjHSUX5xakmKLPIs/cEpe+wBAQPsTi/shi0emPrpbCL5Y1nLii+OL057Ytgi8908FmsSclsyPCA73bouf98a1952fAfmV+SEVJwoO+z+Ln/j5nwH4FPkhFSgKDk95q/j/nwGF6AP4f/khFfuSewbKhZmDi3CLfId3g24I+xP8WgWAY3lzc4tzi4CWi6eLlI6Ri5cIpHOgcHB5c2tWumjRHr6Lt5yosaWto7yg1wjy+AMFnMeTkcSTCA73N4uf+PmfAflm+SEVKQoOv4uv+OmfAfjD90gVd5EFb1F1amt2WmpshieLOYt0lYuqi5mPnJGiCPcM+EEFm8Skm8ePCJv7pXsHyYeagYtui3yId4NwCPsO/EoFeUyDglOFCHv4kQcO992Ln/j5nwH5/PkhFSoKDvc3fJ+Gn/j5nxITYPlr+SEVKwoToCwKDvdueaz4/qwB+U/4NhUtCiLKFS4KDvaLn/exsPetqQH3JvkhFS8KSE4VMAoO9277Ss/5f6wB0Ps9FbGgsJWzi5+LqYe2fcR5wIOxi9iLy6m9uJ+dnJ+aoAh7lgVTUWN4Q4tqi2aWYpVflV6VaYsIcovBxAXWkK6Uwaj3LNvz9zqL9zCL9xsz8fsdiz+LM24+SvsBLUv7Fov7D4v7Fck29wZ0CDA7goQ+VQj4q/kNFYskXvsjTS5TOEhiQItBi1nMi/CL77v3HsXixODJs9aL24u8UYssCA72i5/476kB9xj5IRV7B7WFj4qWhJKGkn+LgIt6hniEcAj7C/xDBXtQfXhUhAh794ebB1KRgZaLqYuVjZmWsgjC91/NhvcP+9j3J4uLmwVei3eidcYIMvd/Bc6arJeqo7SqpLyLuwjgQ8P7GB49TxWQnqCWqosI2bVgRi5FUvsLH3mLg4xyjwgOea74/Kx4nxL3F+P3EeITOPiQ+S8VdAZ9doKGdYt+i3+OdpMIE9h2lGqQbIsrizlQiyKLVZprx0uYfpd9mXwIsmEFuVmZbYtgCD9VVz43T9DtHouSi5KNlAh3jWn7dJ2LBZKim5Sfi5aLlImmgbl7poSqi/cHi+Lci/cGi8x1tjDnMOaDm4u8CMq2sNDsoU4lHp2IBQ6/i5/46q4B+Q35IRUxCg73bnm0+PafAfHlA/mR+SEV+1p7BsCGnICLbYuChGh7UAhL+30FXvs4TUf7BYs9i0+6i9KLoZjJpuoIyvd2BZ7QnJrPkgib+6R7B8mJnX6LcYt/h3yGeQhX+1EFcSx5SItViyzlRvcXi8yLvZq2sLavq8Wh1gje97EFsfcWj5DJmQgO9nmf+QufAflE+SEV+017BriGnIGLeIt4eWBsVgj7Zvv8SvhPBYqQi5CLkIutmJXKkgib+4R7B8OEjoai+yAI3fyLnov4Cfj7BZymm5eijAgO9915n/kLnwH6HvkhFftMewa9ipx7i3KLeIFzfnII+1D8AWP4MAWLjomRi5GLq5yWvpAIm/uAewfFiZaCkVgIk0r7QPvwX/goBYqSi5OLkIuxoJO+kAib+397B6uHlYmUgpl8j3qWLQjI/Jaei/dy+FmQi738WZ+L98H42AWowpWTsZcIDvaLn/j5nwH5I/khFTIKDr+Ln/j5nwH5DfkhFftRewaoiAWoiJaDi3qLcF9NIvsQCGRdbPcCBXPgf7eLmouhl5PHkQib+4N7B8ODkYOaVwjX+59Q+2EFeUt0fkmHCHv3tZsHZ44FZI59lIuki6CSpqLaCK/3D/dv96IFrLSTlaiVCA6/i6/42a8B+PL5ExUzCg77B/stpvmOpgH4G/krFftBi/tZ/cT3UIuSplOLBWt6lJ4fi46NlY+bCPcy+S8FkaWXl6iLCMkGDvt2eZ/5GJ8B99N5Ffu0+UBDi/e1/UAFDvsH+y2m+Y6mAfgS+SsV+1GLhHDEiwWsm4N5H4uHi4aHewj7NP0yBYRugX9tiwhNi4Rw90GLBQ45+RqfAfg698EV+0n4AU+L+0n8Ac+L9yL3tYyL9yP7tQUO+xG9AfiI+xEVvfyIWQcO+z/5GJ8B98v4gBX7B/cpBX6cf5F8i3eLe3+LdYt/kYGYgQj3ICEFDoiAvFuf+C2hEpzf91jUE7j4Y/cDFXBuBW1qfoOCi4OLhZGLkouftfdAuvc/jpWMjY2UCISOToSIiIBbBYOwbqBgiwj7Gfst+0n7Lz+3Y8Mf0YvFt9b3BXY5iYOLcggTWG6Xf6ces4ujntbmCBO4+wP3mRWLRG01XEdtYFxUWYtni3Oei8KLyq7ktcq1yLequIsIrqB0aB8OgKL4ELwB+BjgA/c397YV3/fGoN2GkAVZgmeFSIMIegfGiZCKi3WLgoh9hXMI+yL8n4uFBW3UdMT3L/c590L3MthatkgeRYtUZUf7BQj3dJsVi0FZKE9NZmVgdmCLbIt8louii8en7LfVttS5tbuLt4ulcotOCA5PgK/4H6ABqeH3gdMD9/L2FVVSZXJWi1KLa7WL04vkruDDxqips52zi6KLmYOLf4t4fICLeQh3lnenpaGgprpfrU4eTotSdVpkRFJXNIsuiyXBV+iL1ovAqsjYCA5+wFi7+BGiEpri903XE3j4nfk/FVaAZ4VLhQh6B8KJlIiLdot9jId8Vghe+zeKiwWFsnqeYYsI+xb7NvtB+zY/tWLMH8+LvqzG7oBZiXuLdAgTmHCaeaUevYu7tLzUCH+VBVVNgIJ6i36LhpOLl4ubrfcIqvcGCMf3b7L3LAUTePs/+9AV+ywj+0AvaHSmuR6L3r33Ac3Rp6iunKeLCKKjdmcfDk+AuPgUogGq4vd4zQP3+vcBFUNQbHtfi1OLZq+Lwouai6WVn/dHovTZi+EItW6lVvsq+yn7NPsvOMFV3B7ei8uxxNEI+273LxWt5M/YxIuni5J8i3OLbHhnbG1maGV5NXYIDvt2+2Og+Nqr93ihAfsnzvhH0AO0+EAVhGvmizP8OAV0+wBrVWGLf4uDkouUi5aUkIuYCKB8m3R2enh0aK1xuB7mi87ttfdNCNP31PcAi5GrIIsFqPcysNHDi5mLk4aLg4uCgYaLeghznnydop6goa9mpVoeTotiaW1galx6VHVECA77YqH346D3VrKZoRKTwqzZP9X3Lcdq2hP0APhr+AIVsk8HiIuGjYORcJ5qlGWLJosnRosli1eiZ8N3CBP7AFVydG2Lbot+lHydgClQeHCLWAhDzGfx9xnYy+Iei8ddtyuiX5ZwmIudi6Cen5yLjYuNi46KlImWipaLCBP0gOjn298fi5yLm4KdCEV5FYthfmJ3aXNicHlpiwhldae67sfUybCeeVYfE/kAcPxKFVhVYDo7XKvRHouikJuanpmdta2Ui5aHlYiYhwj2aq9vi10IDoK6ZZ/4Br4S97TajtkTuPhl9woVVUd/f3uLgouEk4uVi5abyZy/qemd1Yuki7B4qV2LTYs9SjH7Jgj3DfhThJEFUX5khE+ECHymB52ig3ofi32GeoNsCBN4+yb8vtaLBbP3Lpuus8i/2svIr4uii5CBi3yLh4h+h3sIVPtjBX5ahGyLfwgTmDQKDvt2gLr46p8BvNYD95z46xWodKVwcHd1bGuedqiloqKnHmH8eRU1Cg77dvtjoflx8wH7EM/3e/MD96v46hWnc6Vwb3J1bWyjdqmlo6KmHmr7NBU2Cg5PgL9inxITQPhh+EAV+0d7mQakl4SAH4t3WlstQwhgavcM+FyFkQVQfmSEUIQIe50HrYuahY15iXqIdH5bCPsh/KTWi7v3SLOrBZtfpU2daAgTgKtMn3ioi7OLpKS53wh8lgWGgoaChoN5bH+AfIt4i3SwZOcIZuMF9yf3F6qfuo4IDvt2gLYBtNgD96v5OhWFkAVQfmaEUIQIe50Hq5yBfx+LiIuFiIEI+x38oAWIgYp/i4OLZpx4q4vBi7Cpx+oIfZVyaAVuYnR7fIuBi4SRi5eLk46ckJ0IDvdugrpln/gFvxL39tjf143aE7z5VPQVfJd2cQVtZnl7eouDi4eQi5aLj4+dkaIIz/ePBYyQjZuLkouvdqZmi3eLeIZzfFpsYllF+wOm2JjDi56Lr3ejY4sITotFSTL7JQjF92WIjfs2bIt7pIsFppmEfB+Lf3w4Y/sZCBN8YPsk1osFu/cyma+tv8PgxsWti5iLlIKLe4t+cyFf+ywIcC7WiwWy9y6fvLzQvdG+uqmLlouUgot/i4aJfoZ3CFH7dwWBZIh6i4EIE5xtmXulHrqLt6zA1QgOgrpln/gGvhL3s9aK3BOw+GD3CRWEgoSChINuZnl7fYt/i4eUi5SLk4+cla8Iw/dfBROokaCPoIudi691pGCLS4tITyf7NAjO926HjQVWgG+HOnsIewe+ipmFi3eLhYqFioYIE2gr+/LWiwW69zKTorjOyui4vLOLmouUgIt5i3+FZ4NsCF/7NgUTkH1XiX6LgYtloXuki7qLpJ/P6AgOgKD4LqABpt/3pd8D+Gj3wRU3CjekFTgKDouAnvgatgH4EuUD92v4QBWMj4yQi4sIjYmNiB77MHWNfKGLBZuniHMfi4aGcYBjCPsH/EQFf1x+fGCKCHv3X5sHXHySoR+LmaLdnNGkfqCHoosI9yb3K/c29znZYrpBH0+LUmtVOgj3WHwVi0V2QltIX01balaLb4t3m4uhi62v9xWo1qLHxsHAi7iLnG+LUggOgMD4DaEBpOED+Hj4QBVCi3taBYG4cZxiiwj7Hfsw+0b7MkSwXsof2Iu+sNv3Ewgx+7YFgGZ6fEyHCHv3gZt8B2Z3l54fi46Mj4yPCMj4khWLOEn7H0dQcXRsfnKLZot7qYu6i9688s/Mq6mrnqiLrIulcItqCA77B4uf+CWfAfdE93MVwvdsiI37L3CLegWajZOMk4ufi52Gi3aLdomCfVcIOvu414sFvfc8nbO21a/Ip6ydi5KLjoeRgZR8k4CdiwipnKOpqXigbx90i215cXBiYGlWeGEIDvsHfp95oPgsonifEvcB1LnXExz4AvhOFX0Gg32Eh3yLg4uCjHiRCBNscpJ9jnqLQYtcYYtJi2ufXrZVslqcaYtri1pub1yLV4tptH3qCHuLBROMd/szm4sFkpuWkJaLlouZip6DCBNsooKaipyL3ovIvovei7J5slnFZLl8qIumi7Cjn66LvIupapU4CJsGDvt2gLz3+qsB97z4QBU7i6fyBYyNi5CLi4uQiI6Fi4eLhYiHhWdVSlprhHOGgoKLgIuLi4iMiAjWiz37vAWDa4Nsi4CLcp5/pou/i6qox+cIfpIFWkx7e3uLgouFjouYi46MkoyPCOL33N+LBQ6AwFi6+BOfErXY9z7ZE1j4YfcLFVhIe317i4SLh5GLlouXmbqQngja979BiwVa+xp9ZVxECBO4TS1dVmmLfIuGlYuai4+NlIyOCOT394eOBVJ+Z4RShAh9B7GLjoqUhpGIkIOLhIuDhXGDagho+x8FeUKCZ4t4i2ade66L0ou9wPcK91Zr+wB+SIt1CBNYbJ16qR66i6WfzO4IDk95n/g3nwH4C74D92PRFYX3G4XCfs529wCLkYKLhouEioOIa4RohF6ECH4HloyVi5WLsIuWepg/mD+W+xmLRghzB3qOgZEenIumrMLGnZ7Dy7jRrsGnxYu2CKZ0q2p2en52Hot7kn6de5h/kISLgYtcSvsCQ0EIDvc3eZ/4N58B+Oy7A/gn+D4VlomOhR6Gi4iJhoMI+1T7xAWH4333EX3PhKuKjYCLhIuCh36IbYNph2yGCH6nB6iLlIaUZpdbliCPNAiPMAWNZI2DlIuWi5ykr9Cer52snakI5PcsqPvKBY1xjYKSi5SLlJWmrAiUlgX3Hvc81fcJi8sIq3WjbXV6fHsei32Qf5t8m3yRg4t/i2BpVvsX+zgIDk+AwvfpwwH3h/f3FX3Pf51yi3SLaoROdQiAh457nZAFnpCXjZOLpIuSg5lPCKf7EDn7CAV2bXh4gIuFi4GOgZF+koGPgosId317d3Gee6ofqouflLfGCOP3C6j7CwWXWZp5q4uxi6WjxeUIfJQFg4GHhYJ/dG2AgX6LfYuCmISnCGv3GgWFo4mZi5K32K+3nYuji5R6nosIn5maoKF6mnMfX4tmZ0UgCA5P+2LC+NCfAfgWswP3h/dOFXrkVvc6fIsIhwZVg2qFd4eBiYCJgIkIegeWjpSMlouzi518nlqmR8L7dItji4CHf4V/g35eUHl4dHJ/g36LCHGLi6doiwh1enl1caB6qR/Ei/b3B/P3QN73Hrv3AovECKl1pG10enx1Hot7kYGffp5/koWLfYtfZkM2+yEIDvsHOqD4QMcB98jCA/gQ+DUVlvuvB2v7CJuHBZ++npS/iwj3HIv7yvwIlIIFm5iYkJuLpYurfrpuvWytfqiLCMOwr7OhfZp2H3uLe3qKeouDjYORf46FjYaLh4uCgIV7i3KLeJdxsWPGdZZRmAgOI77WgtYTQPgr+UMV+wWLXGluIQhb+0YFd0J1c0t6sn2ZfYtui3N/VXVACBOAdT+BX4tzi1Ssd+eICI6WBWWWfJ2LsIubkaSbyAgTQKXpndmLnYumep5knMycpqih3gi49zwFoNqlqMmbCA77eXmf+RifAfTNA/c/eRX5QEn9QAcOI/dk1oLWE0D3cfk4FbGAmniLZot9hW57UQgTgHEteT2LeYtvnHmyekl6cW51OAhe+zwFdjxxbk17CIiABfcEi7utqPUIu/dGBZ/UoaPLnGSZfZmLqIujl8Ch1wgTQKHWlbmLoovCap8vjggOsPdPy4/LAfhm99cVZlN6e2SLbotZqHmTZpxrmV6LXItfcWxPCK9ZBZ29r6Gqi7yLunKcgax4pH24i7mLrZ+4zQgO+5IOg9VDod2n91W196yoEpWhE3Td9/0VgmH3BIty+2AFb5Z4i3yLCFRqa2dko3K0H66LopixvQgTnM5Wp3+8i86LvK+lywiAlIGEBXB4e4Jni2CLXZNEqbTkkZul9wII9xOLkrX7EIsFufd3nsDEi6OLl36PbJBomYKciwikmZmmuGWqVB9Vi2B3Y1tXTXNJd/sFCBNkXvu0FXxpbnRwiwhzeJugpqGdqh+gi5eGp3cIDouf9zaz5bP3rZ8B+PH5IRX7UXsGpIgFqIiYg4t6imhaT/sE+xeDgYWEfXsIbu8FbuuBt4ubi6CUksuRCJv7gXsHzYOSgZpYCMr7bPsfi39j9zaLjoF0O/s3i39j9ziLcjcFeU10fkWECId796+Li5tnjgVijn6bi6WLoZOlotEI90aLl7P7Rouj3ZGT9zyLl7P7KYv3Sfd0BauzlpKrmQgO+zag94Wg95+g94CgEsDIc8SwyLXFq8VlyxP1APeN+CIVeZJ6j3mLUYtbVItHi1yjV7pVCNc0BbFfl3SLbQhWYWZPHhP7gGZpnJ8fi5GPj5aSn5eSl4uhCKZ6m21odnZoTsdc1+TOxtkei7OBoVbOCI2OBZeFkoqZi9KLur2L14u0fLRxqwj7D/cqBXqggqSLpQi+rqvEHhPyQK2lfXofi4WHhoKDfH6FgIt9CHGeeKarn6CtxVW0PzVOV0Iei1+cab1NCBP0gPcS+2UVZG5rZ1Eg9xbSsKiosB6si65zslcItlKZbotpCA77P/iQ7QH27fHtA/gp+MEVOQr7XBY5Cg77P/iovgH4L/jbFfvBi4BY98GLBQ4j+Bqt926tAfCy92SyA/gX+KkV20zKOztMTDs8ykvZ3crJ3B5kFk9cWlFTXL3Gx7q8xMS6WVAeDvs/+RifAfdI+IIVrov3P/UFl5KQlIuXi597m3eLgYuDiISECA6BwgH33OAD+IX4QBUzi0L7zQVoXl9yYIthi3Cmi7WLlYyYjZIIzvewM4s2/AoFhXCBb3lebVGDcotoCGyWfaK2p8LiHouTi52KnIqci5mLloudi5SNoJ5WqnTAi8CLu6fAyYh9ioSLgQhknnexHrKLpZm1tgiOlAVyd32Feot6i4KVi52LlI2Sj50IDvuS91v3AwHR9wMD90n3kRWqcaVtbXJya26kcqiqpaOpHg6AoPguoAGm3/el3gP4dvkRFWunKGAFY6xmnV6VCGh6BbV6pXquagj7D1WsbvcJvgWzV6FWlUYIiYoFeatynF+LCPsk+xz7NPssLcNd5vc69xP3Q/dXH4voc9BN0giO+54Vi0RwKV9KZlNgcV+LXItstYvCi9yg1rzPtca5qbeLtounZotSCA6CumWf+Aa+xsES97TajtkTvPhl9woVVUd/f3uLgouEk4uVi5abyZy/qemd1Yuki7B4qV2LTYs9SjH7JgjU96L3M4uawfszi6z3D4SRBVF+ZIRPhAh8pgedooN6H4t9hnqDbAhNi3xVyosFE2z7GPyI1osFs/cum66zyL/ay8ivi6KLkIGLfIuHiH6HewhU+2MFflqEbIt/CBOMNAoO+3aAuvgVnwG62AP3cfcHFWBSdnV6i4GLhZKLk4uVj5uQngjr9+qGjgUmeHiIZIgIewfBipSIi3eLg4d5hngIW/tDBXtPg22Ld4tln3ipi76LravA3QgO+3b7Y6H48p8B+xDPA/eK+EoVNgoO+z/5FZ8B+BX4gBUz9z1ai/sx+z2yi/cd890jBQ77P/kVnwH4PvkpFWaL+yEiMvRli+r7PbuLBQ77P/iAxgH4GfkeFXVNVmZOi0eLaa+GyghuBiSwVOYe4ovT0ZnjCA77P/iQ7QH3Y+0D98X4wRU5Cg77P/iQrfcXrQH3L633GK0D9/f48xXCXrhTVV5eVVO2X8TCuLjBHmkWZm5vZWZvqLCuqamusKluZh4O+z/4nMd7xhITgPgj+QQVgGp+gHCLfIt6kG2ZCBNAZZxyknSLV4tvbnc+CKgGlaubmqSLnIujhMF1CBOApYGdhpiLu4ussJnOCA72i5/3Yq/4Fp8B+MgWIgq995oV+1aL9yn3mwUO9oup+OWpAfcW+SEVIwr7GPu2FSQKW2sVJQoO9ouf+OysAfkZ+SEV/IV7Bs2FlYWLb4t7iHeEcgj7D/xOBXxXgXVRhwh794+bB1CPeZaLo4uakp+SpAj3GPhtBZKlmpG5i/dEi6J+i0KLhYuGiHUIoIkFDvaL6fi+nwH4ohb7GPkwcYv8JP0wBfhP6RX76ov3k/hEBQ72i6z3uK/3l6wB+Q75IRUmCg6/i6/42a8B+PL5ExUzCg73bouf98a1952fAfmV+SEVJwoO9255rPeb6feZrAH4oPhBFYFmZHdmiwgpBmeLg5eDuAh4Bos8azx2WAieBp64p5iwiwj0Bq6Xe2EfngaLyq3snrwI9zCAFYv3LDrs+ySKNos4ZkZPIzBC+yCL+w6L+ynfNvcWi9WL2qbMt/cL2+P3H4v3JggiyhUuCg77P4uf+PmfAfgU+SEVKAoO9zeLn/j5nwH5ZvkhFSkKDvaLn/kInwH4yBabB1aPgJZ93wgv+L1xi/ux/IQFQPsWfnpdggh7906bB1yNfJeLnoubk6OZpQj3efgu0fxCBYyCjIKLg4tpfXtMiAh7Bw733Yuf+PmfAfn8+SEVKgoO9zd8n4af+PmfEhNg+Wv5IRUrChOgLAoO9yeL6fdm4fdB5QH5PPkhFfyDi2H7L52HBaDDqZi/iwj3sQbIln5nH4uEioSKggiciQU4ahV5jgV2W4N2R4sI+yMGZnKMqx+LlYuTjpYIeI9T+2WdhwWgwaiSsosI9yoGxI9/ch+LgouFiX8InIkF6EsVeZAFbT5ag1GLCPvTBmZyla0fi5WLko+eCHqQX/tH+K2LBQ73bnms+P6sAflP+DYVLQoiyhUuCg73bouf+OWzAfmV+SEV/RJ7BsqFmYWLbot8hnWEcAj7CvxCBXlKf3xThQh794mbB0+TgZKLqIuSjJONkgj3J/in97GL+yX8nAV9Wnp0RIYIe/emmwdKkn2Si6eLk4yTjZMI9xj4dQWbxZaRxJUIDvaLn/exsPetqQH3JvkhFS8KSE4VMAoO9wiL6fifrwH5J/khFfyQfQb3VfvO+/L7yot8+LqLzfdYeI4FZz9mbj6LCPvFi/fA95n7NPea90aLBfcJsX9OH4uBinSJgQihiQUOv4uf+OquAfkN+SEVMQoOv4uf+Oi/XbcSEyD5HPjwFYedhpx6mH2VfI94izuLLPsMXPsWCIqIB42bi5qLmggTwPcJaOX7AB5di2x4YW0Ikn0FoJSSjZ2L24uoVYv7H4tkiWeDVghT+1kFeUt0fUmHCHv3tZsHZ44FZI59lIuki5iNmpOmCLP3IAUTIKv3Bez3lvcbi56Ll3+UfggO94GLn/j5nwH4kvjaFZSrq6LJiwicm/uzewbLkYF0H4uAg2uFdvsLiDVwU1tSWmxTi0mL+xH3Alf3DIp6Pm53T4sIgnv3vZsGR3KVqh+Llo6jk6D3Bo3jo8W8xbysxovMi/cT+wS6+w2QCIFtFemDuVaLOItOfF5eW15bUHxAiwgpFi2SX7yL3ovJl7a4urm7xqHWiwgO9ouf+PmfAfkj+SEVMgoO9z+Ln/j5n4WfEvcL4hMw+Z75LxV+BvsUi2w3cS1r+wT7E2lsiQjO94UFlKqfo8uLCJwGE1Cb+6p7lgfDkIF0H4uHiHuEcQhQ+20FS2Ctyx+LsKC6i60IE7DVZK9OHm57BqKefWMfi2hpUotUCPsG6mvxHlD7agV9V3B1SYsIe/e1mwdBe5upH4uUjpaOlwjG92YF9xWL9x++wfdImbuMwMiaCA73lovp+K+sAfeG6RX7FwZocJGxH4uVjZuNlQh6kGH7R/eji6P3OgVQnnLQi9eL1bDax8q/wcqs2Iv0i64/iyKL+xQz+xj7CnEIY/s696yLw/dCeZAFbj9iiFGFCPsUi5KwBfdFrvT3GIv3Hov3GkTr+zeL+wSLMm1DUDxKVjKLMoswsj73AGgIDruAoHjG+AagEqbdE7D4ufhAFTWLXSEFxmLHNh5Ni0hrX15TUmg2izqLN7BH7IvWi9C5vcgIE1CNTpdfsYu7i6q/odUIe5IFdlR7eH2LCHV/vrsfnQcTsFv0FYtwf3KHeHBTR/sbRYsIWHnFxPcz9wL3HMofy5g7Rx8OjYCe+ASr942gEvgV5GvTE/CC+xMVhXZ7YIJ9CNkGlJqVn5e2CLH3GQWlf56GoIu2i7WTsqHovt/3DYvoi9JZsGWOCIwHE+jHps/Ui9yL10ekVov7MYtG+z9k+x8I9PcBFaHfuuvUiwiuq30+UVwnYB99i3aRg4sIaIJ+gH+XgZ0fnIuak52LCBPwp5dzaPsaI/tD+wZvd5qhHw4t+AjKAfcnrgP4SvhAFSuL+0b7wQWQu5jbi8mL0X67WItZi2tAeksImwaewqagnYuxi5VPi0aLP38+iG9tR0gqi1aLapp6oovai5L3LpDmCA5fgKD4/rMBo9/Krvcq3AP4YPjwFbhEnlpLImsrHotVw2S4XfsUf/sM+xaL+xQIMMFY6fc09Pcn9xcei9lzqmKyTMgkr4vFi7HFn6+L5ItqQ8yLCKmUpqAfI/vmFTw9+0UvXGyvwvce6fch4q2scDQeDk+Ar/dQq/dDoBKp4XTd90bTE/D3/O0VVlJae1aLCGBdn8jX3aq6H6CLkoKdiwisl5Sdl3uUeR9yi3mEgYsIE+xgbJ2u596pxaKZgoAfi3h8got3CHOae6OeqJyou2CuSh77Hos2RIo/i22eb62FCBPwSnpYWItNi1emUPcMi9aLyqHI2AgOWftNzPcB3ETT+MqfEqm+5b7ssxNO97b5PxU8dmNki2EIZLJ4qh6MigX7CfsGLPshi/s0iynNd8OLCBOuOgoTXoSLeYp+i0WLZKSLz4v3F/cK9zzhxeST8MeLt4uagZV2i1iLNEtnYAhtkHmci6WLpKSmu50IDm2Ln/gGvgH3Ati/17ncA/co93gVlq6n44u1i6SCn2yLbYtlcm5nfHmAeYiGCJeBBZqdqbOdi5aLjoOLgot9hHSEcgg5+8XWi6v1BbP3GvcQ9yq+i6OLjHeLfIt+gFqIgQhA+6YFbyWGYItyi3mNfJSACNQGiJKGmIuZi6qY2ZzJCOL31QWSpo6Zi6GLsmqdZYtTi0ZPK/suCA5zgKD3xav3yqABpt/3v98D+IL4kxX3C1e7RB5ji2WCX2r7ATj7BftFi/triyG6SdyL0YvRqszh1e7H9ySL9zYI++/7OBWk5O33ceKLroudYotLi0B+Q3pRCIRrFXMpNftjK4tmi3i+i+SLypW/nr0IDvt2gLr4FZ8BvNYD93L3BhU1Cg5Pfp+En/glnxITYPct93UVwfdpiI4FWYFYgVmECH2nB5mehXkfi4SGcYJpCDX7ydeLx/dn6Ps0BROAnG2jacSLCBNgnouij6aUCJsHYot7lGnHCCn3QAXT1q2usYugi5V4oosIpZ+cqKR6oWYfg4uBiYOIVXU+TSn7EggOXXvKXJ/458oS96mzfK4TsPgz9w8Vd1J0eH2LbYuAqYvRCBOoi/cTn/cbi/cai+VuuGiLVItsQXxMCJsGn8OqnZmLqoudbIs+i2uJbol5CBNQ+8r8QOuL92X3zwWEJYJAi08IE5BIpHCnHr+LqsSd3QgOoYC6XssS973ZE6D4afcJFVdHfH57i4SLh5KLk4uVmr6Pmwja98A+i2r7DgUTYHpL+wH7T1CLb4t/oIumi5SNlI2UCNb3vkCL+xf8nQV7TH1ufXcI0gahpZG7svcqkHmXgZ6Lx4vCzuP3MAiMi2ojBYNzhGiLeggToG+geqceuIuposnrCA5peZ/4N58B+E/4RhVj+yM1+2f7YHgI9PgOiI37N2yLewW2iqGHi3WLh4qDioYIL/vhBYmGioeLh4t8mYSZi/ellfT3hKz3WggOWftNzPcB3ETTEqm+4rBxu+ezE0T3vPk/FTp2Z2WLX4txq3iaiwgTWl5mfmmLZ4txm3SgfShaQCqK+wSLKc13w4sIE7o6ChNahIt5in6LRYtkpIvPjNLf5dCiooSmhaGLCKzdlL6edZZsH2SLUn9hbnWbh56LnQinqM7D9b2msZ59l2oeZItRbV1sCBNEeo5/louai5iNr9KiCA6AoPguoAGm3/el3wP4aPfBFTcKN6QVOAoOi3mfftz3sNUSE6D4rPhAFfujBiaLV2VVMAibBrfBpoy/iwiRizn7ZQWBcXdqYYByhIZwi3yLc6N3pYuWi5mPlpPcy6X3Qrj3Dgjziz/7ZgWEeIFli3QIE2Bkm2e2HtaLutuayQh7BnNVcIR3i3aLgZ6LooufwPdAmb0I8QYOi4Ce+DCgAfgS5AOC+xsVhHGBdH12CNkGmqCVpJGjCK/3IQWifqGHoosI9yL3MPc19y73HSiLVh8giyf7BV37RQj30Pc1FYv7Cjr7TPsZiW+LdpuLoIukp/OdzKn2zNXDi7aLolqLUAgOWftNzPcB3ETT9/KfEqm+94KzE1z4WfgWFbNYmmn7K/tP+yv7SynNd8MeE6w6ChNMhIt5in6LCEVkpM/19wbV9wcfq4uugKWLCKigmbMfDoWAoPfs1QGm3/eI3wP4p/hAFftWBvtR+w37N/sbNL9V6fcg9xL3CvcCH4vWU4pjygj3Pgb7MvsZFTtF+xcrXGypx/ch9wn3BdAeq3ilWYtLCA4tgNf3tdUB9wzdA/g++EAV+24GJ4tGKnBKCJsGqL+5r8GLCMgGXCRY+wqLQotgnG+6i8uLxc6i2Qh7Bnpnampyi3GLgaCLqYuZi8zR9zMI9xkGDnGBoPgunwG42/eB3wP3qPg+FcWFp3mLQAgpQ/tu+wBef7C0Houij6WSpAi990kFkqOMnouUi6l7mm+LZYtdaFxECJiCBbS/mZOZi5OLj4eLgYuEiH2GeQhvLgV6VHxai2EIT61f7/cn9wz3UfcQ9wVIpCQeDvcKi5/4GqCBnxKm3/gf3xO492+VFUxentIfi/cP3PdC9acImwdoi2t9a3kpU0H7EIsli0mkYbx4pYG6irKLCFX7VtiLwPdWBaqLp4+lk/ciudX3MIvwCBNY9wFGnVIe+wKLVPsdavsJCOjTFabuqcm6i6CLoYWLP4slSvs0PmJ1f3KIdYsIDlz7Y8r4nsoB90KxA/iG+EAVLov7WPuSBY3tjZqLlYv3BHWrZ4tRi3REekoImwafxKabmYsIsJNaLR+LMvuz++3oi/dZ94gFhmyIUotni0mcTbmLxYuh05jMCHsGeFRyeH6Lbot7o4v3Eoufi6KMpQgO2/g5nxKs313cE8D5MPhNFXUG+yOLbvsCcfsFdzNjSF5rdXxzhXWLCPcH+DY/i/sH/DYFVm6p2x8ToIvFrvOLxAjFebdKHlaLinsFuYaVXYtkCBPAi0hlTotDi0qjZKh2pXivia+LCJSLVftW14vB91YF9wmL876x9zyf5KL3AuydCA73SoCgAabf+F/fA/hs+EsVewe1i7KEl1yPfIxvi3mLS3ozbFF1YmRcU4thi3S0i7aLkouSjZIIlZqYoZOZobGfyou4i6aAnnOLZottW31Xg22HbItyi32MdY18CHhUUVNei2uLcqSL0IvesPcAvcqxuridvosIm3kH+yGLJCBq+w2EcIhwi3CLKMxhy4vSi7CjsrqbaJ9n2YvLi9i2wO4IpbycvovBi7t/uGqncKJilViLCA5bgbP3zbb3tJ8BuMH3i7OYsAP4SPj9FcRUn1oeaotecnF4+xopWvtMi/szCCul+w/3DPcJ2fcQ9tVm5jQeL4tXRV1GnuOj3MDVlIqVi5WLwYvKkLigs52wsIu6CPuRJRWsw9ry04uei5h7i3mLcXZueXpYWliHR4sI9zD7ixVF+wT7PEBjd7eu1PP3Ndu0oWVmHg6/gaD5DqwB2Nuc3/c43wP4ovdiFXKPdpJ2kqzlme2L0IvpY/L7B4tci2F8amxrbXRdi0uL+wjkJvcLVwhr+wNWJjiLXot/sIu0i6KPpZKkCJ3HBZKjjJ6LlIupe5pvi2WLXWhcRAiYggW0v5mTmYuTi4+Hi4GLhIl9hXkIdkoFh36IdIt6i0+tX++L9weL2e659wKihaOHo4kIKPe9FYtbgzB1MvsEz3X3BIvJCNSm1cXJnDs6Hg7ni5/46L9duRL5AtIT0Pfv+CwVjqKMnoufi/cXYM4ni12LbHhhbQiSfQWglJKNnYvbi6hVi/sfi2SJZ4NWCFP7WQV5S3R9SYcIe/e1mwdnjgVkjn2Ui6SLmIyak6YItPcgBRMwq/cA9veb9xuLkouYiIuBi4VmiothCHGeeKa8mLKwtGyvVh77FYs3+yxd+wAIDvcPi58Bpt/4JN8D+HX5PxU+i0j7hnyLBftL+wT7aCYfi0ukXL96pIOyiLaLCFX7VtmLwfdWBfdZjPcB91mL9wiL0myvWp5vlnCMXYsIhXYVoIumipWFpXuecoteizhK+0U5Ym99e4lyiwg9FnSLeI17kWyXeqiLtQj3IfP3RvcIHg73tICg9+zVAfcT3/hf3wP51PhAFfz6Bi2LOiFxSQibBrC8tbzPiwiuBmljbVZ9WYRwiHCLcIsozGHLi9KLr6GzvZ1hoW3Vi8uL2LbA7gilvJy+i8GLoIinhp8Iywb7JhaOfo54i30IM2T7ZvsSYXS0th6LkouSjZKjsKzDi8EIpoOec1xrQFYei32LbY18fl1PSlqLYIt9uIu8i9mv9wG6yggO9275DawB92b7BhV8U32CVIEIe/eImwdSkn+Pi6eLn5GjlKsInMgFw5XBorys9wvb4/cfi/cmi/csOuz7JIo2izhmRk8jMEL7IIv7Dov7GdE59nsI9/n4hBUuCg74OKABpt/3pd8D5/thFdqLw/dcBbqVuKO2ts3Ms+OL14vjT786i2KLY4JkdiJTQPsHi/sEiz21WdiCCPeC9+MVOAoO9z37Y7j5lsUBwuf33eUD9yH7EBWyUM1zz4v3D4v3FdSL9zGLunHDQKj7E737U2uL9yKL9zj3RvcV9ymL6ouBS8CLCK6doKvAT5s/+2b7nPtJ+30fi/sM82v3A37cgcV/rm+heZVzi2+LPjxXK4tbi0aecq4IDk/7Tcz3AdpG4vf0nxKpvveCsxNc+Gf4XhWBZWso+xOCQ4Y+d1RZZWhxXYtQiz3NbcOLCBOsqYutlaaLCLmpgGRiZW9gH3KLgahtiwhwe3d1Zqx8rR+4i8atqbidpZWsi6WLwW/ANIsIE1xwi2d5dIsIVXSks9rYmOMfwou4jK+exKqszpX3BwgOwIuf98Wv95esAfkZ+SEV/IV7Bs2FlYWLb4t7iHeEcgj7D/xOBXxXgXVRhwh794+bB1CPeZaLo4uakp+SpAjF92b3YIuWr/thi8v3dwWSpZqRuYv3RIuifotCi4WLhoh1CKCJBQ564LD3k8MB+Gz4RRX7uov7Jv0D1ovL96f3SIuUsPtIi8f3k/dviwUO9yF5v/lDvxL3qudo5xPQ+Tf4hhWDmfyX+yX3NvdABeXqoqeLuIutdatRi1yLY3RQWgiTfAWhnbOcqIufi5p9i3aLeXdoeXUI+6r795V++JP3JPs2+0AFE+AzLX9zi1+LaaFmxYu6i7SixbwIg5oFdXljem6Ld4t8louli56gqpyiCA5ci5/3s9UB+FH4ERX7yov3tvfCJ4v7uvwM98qL+7b7x++LBQ73YIuf+N7HAaL4ixXIuM2oxZoIQ/uitovW96wFm46ajJmL9IvpT64s+1pi+yL7mmj7KAjpBqv3Hu/3jfc0p5NokF2LZIv7W/sf+4D7Xl8IdAf3jaH3X/eCi/e0i/dc+xX3Efs8i/sTi/sAZPsVIQgOo/gN0gPo+KgV7FvYR7wjCPtJMZRv90znBZhql2aSaQj7Sy+UcPdI5QWSY49li2aLVoRYfVeDbYB3f2wInYAF1PKr9wOL9wyLu4S6frVr9Tr3DftoywgOqH6fhJ/4JZ8S90+z0rUTePjD+EAV+wCL+6D7ioqMBaPFoNWLvAi9cKZidWx7bmGqi6Odk4dzHotTYvsDfXQI+yj7HPcBi/eQ93mMigVrTHtki1cIE5hUsmu3saCjop97nWh1cJOsHou7teSgrAgOl4Cg+C6gAffAucHfA/fN+2EVnZuaoYuji/cH+5Aqe/c+CI2MBaNitXu3i82Ly6TFxc3Ms+OL14vjT786izKLMlJXR1JBbiyLLwiL+2j3paaLTIuHioeJhwjy+KcVOAoO9255rPfCtfemrAH5T/g2FS0K/IpQFZ/CpsKuurzNyr7Vi9uLvFGLLYtohmCAXwiAYRV1QWk/XVJdU1JkSIs3i13Hi/cBi7ORuZi6CA5PgK/3UKv3QqEBqeED+Dj4TRV7BoiChYN/i3CLfJxbiwj7IvsN+zP7Iji6R+Yf74u3s8PPCHuVBVJSaXJTi1CLbbqL1IujjZ6TpAj3SIuRq/tHiwWb0dDz0IvVi51Okl0ImwYOT4Ch90Kr91CvAffc4QPn99cVxMStpMOLxoupXItCi3OJeINyCPtIi4Vr90eLBXtFRiNGi0GLeciEuQh7i3n7FZuLBY6UkZOXi6aLmnq7iwj3IvcN9zP3It5czzAfJ4tfY1NHCA73WbkB+I33hxX8i4uDXfiLiwUO+BX3WbkB+hL3hxX+EIuDXfoQiwUO+z/5Gp8B9z/LA/fB+S4VOwoO+z/5Gp8B93bLA/c0+EgVPAoOv/kanwH3Osv3JcsD+I35LhU7CvtunBU7Cg6/+RqfAfd2y/clywP4BfhIFTwK+1x6FTwKDvkanwH3R/szFbv3ZgWb0rLtpbF/ooedi7eLq42bkq63i6CHs3qeg5OJlosIp5uapqZ8mGsffIuCiXSBZnyBiWCKlryTnKe7nKiSmIudCKh8m3Bse3dmHouBjIOOeo94jICLgIt0iXiDX2CMgY1mmnWUgY59iwhqfH5wcJt8px+Wi5ONn5Sym5uPtIt+QXVcZGCLhouFjXuNeIx/i4GLVX4vdiEIhGqEaYVpCA75Gp8B9674PxV4N3dgZmcIjYIFlGSQfIt4i3WHbIRqCHEGeIt8j22Yc5V9j36LCG93enJznXumH5mLlY2klbKamI2yjIRfhHpuXHdshXyLeQhvm3mkpaGkqB6LkYqUiZaHoomfi56Lo46fkquyipiJsnyjgpaIl4sIqJ2bo6N3nW8ffot9h3OBbX58h3iLCHgGnt+ftrCvf7WHnouhi6GPqpKrCKUGnouah6l+o4GYh5mLCKefnKSjeZtwH32LgYhygmN8f4lkipK3kp2oup+qkZqLnQimep1zcXVybh6LhYyCjYCPdI12i3mLdol4hGdkjH+NY5pzlICOfosIb3l7c3KfeqcfmYuYj6OVqZiaj56LCA75lr0B+Ij5lhW9/IhZBw775YGfAffl+TgVWIv8W/1CvosFDvyM+QfBAfxZ+T0VVfeyB6ybiH8fi4R6dWtwCJ2D9xj1+xn1eYMFqG6geYuCCH52iW8eDtaAqfkQqwG7xfhHqQPY+BkVpniqgqmKfXV9dX91XDltOotUi1GzbrqLyovGxPT3Dwh2nAUq+wRUVFyLcIuCnouji87m9ye/3/dEpfcm9xWL9Iu5daBhizmL+xv7IiL7Lwhti2yNaqII90V4Fb/cwty8vaSlqKCni6KLl3+LeIsr+wcp+zFoCA5qgKn4Fqn3X6kBs9z3q9ID91f5BRWkk6GQpovxi6guizOLc4hzh3V2sGCWa4sI+yb7A/sj+yE2sT7t937I96P3KPc+TeX7Eh9pi2eFb3oI90r72hWLbIVpgmpvJVAnPosITIfHsfcf4fcp7qatdkofDvdIfbX1q/fZq/cDtQGLtfdoz83P9061A/iA+J8VeQaDgIWJf4uEi4KNgY59kHSOd4tTi1Rri02LapR3smehdstUi2cIZm5yYFpprLkei5OLlI6UCHaLefsdm4sFj5mUkZaLkIuRipuFp4GgiJ6Lz4vDuIvNi7N8plK+VLyEkoukCKmknLAewouVao5SCJ0G92pEFfdT+yv3L/tN+1j7LPsr+1f7VPcr+yz3VPdT9yr3K/dVHmEW+zv7Ffsb+zz7O/sc9xv3O/c89xz3HPc79zz3Ffsc+zweDvdYi+8Bi+/4iO8DiwTv7ycG+OwnFe/vJwYO+2CL7wGL7+/vA4sE7+8nBvdcJxXv7ycGDvwoi+8Bi+8DiwTv7ycGDviIFPiMFXmd+SGZBh4KA5Yl/wwJiwwKqgqikI6Oj5CQkJKPDAy1Cx4KBv8MEhwAMRMAHQIAAQAlADgAfwDDANkA+QF/AgECPQLHAz0DhwObA8oD8wQ+BF4EqAUrBWUFcgW5BgAGJwZNBl8Gkwa3Btvft7nDi8MIs3WtZ251d3Mei3iQfJ98m3+PhIuBi3B0blZpCAurcqRsbHNya22jc6keq6SjqR8LmwdWj4CWfd8IL/i9cYv7sfyEBUD7Fn56XYIIe/dOmwdcjXyXi56Lm5OjmaUIxvcD93CLn/sXBYyCjIKLg4tpfXtMiAh7Bwt7B8qGmYSLbot8h3OEcgj7DfxIBXpNgIFUgwh796QH9zb3Bc33Gh+L0mPANaUIjAe2lLCUqqCvo6eui8EI7ka++x8eC8r3dAWVr5WLsosI3K9pQShFVvsXHwvKi7aGn4Sxfqhfi00I+wM9UPsHYXKZpx6LmJq+n9cIC/yFewbJhZqDi3CLf4ZrhXcI+w/8TgV7UYKFU4EIe/iPB8n3NnuTBWVWc29relhwVX8pi1OLdJWLo4uXlrmk4wir9wTZiwWzi6aGloGQho2Ci3qLeYl/hnUIn4bP93x5jwVlNoB/MYsIPYvN930FkaGVj8SL9zGLrn6LT4t+inuJegihiQUL+4x7BsOHm32Lc4t7hHaEcQhd+zj7sYvB91oFmLumnsePCJv7o3sHyoWZhYtui3yGdYRwCPsK/EIFeUp/fFOFCHv3iZsHT5OBkouoi5KMk42SCM33iPexi0v7fQV+Wnl0RIYIe/emmwdKkn2Si6eLk4yTjZMI9xj4dQWbxZaRxJUIC/uLewbDiJt8i3KLe4V2hHII+wz8TQV8U32CVIEIe/eImwdSkn+Pi6eLn5GjlKsI9wz4QQWcyJSUw5IIC/txewajiAWjiJeGi4CLc1VZMkwI+y37AcD3VgWaw6uZv48Im/uiewfJiJx+i3CLe4R2hHII+xD8UQV8VoWAT4QIe/eLmwdUkHuTi6qLlo6Xk6cIzPeB9w/7awWda55ui3aLenx/bIgIboiLe/eni4ubBUyRgZFswQj7PPe59773dQWooaKapIsIC/s6i/vj/IBT+ID7SYuLewW9iKN/i3iLg4d6g3AI+wb8JQVr+wR7e1eFCHv3WZsHWI94m4uni5aPpJCdCPcK+EDJ/Laci/gM+MX7EvxfBXpNd3pKhAh796MHjJsFTI15mYuli5uSoJKkCPcP+E8Fmb6VmcSUCAv7WnsGxIaXgYtni3+JgIV2CCH8GPtj+If7NIuLewW6i6N4mmgI+wn8MwVn+xR9e1ODCHv3WpsHV495louni5iOn5GgCPcG+DoFC/d6/Lqdi/cm+I8FsPcVjY3KmQgLi/csOuz7JIo2izhmRk8jMEL7IIv7Dov7KeM29xaL1YvWpsy39wvb4/cfi/cmCAuLJV77OTcjXVNSZEiLN4tdx4v3AYvvtPcZ1O68zcq+1Yvbi7xRiy0IC3sHxISZg4twi3yHdn5cCPsI/DIFeUqCglKDCHv3iJsHVZF8l4uii5qSoJKmCMD3VQWlhaGJtYvki9GeubG0rabCi8EI60S/+yceC5GinZOni92Lu2mLMotKcF9fcmx5aIVNi3mLhotukAgL/KiLYfsvnYcFu/cAq5v3MosI+yP8owV8VXR8RoUIe/e0mwdojgVij3+Ti6qLoZOikaAI9x34fsWLBcyvb1Yfi36Ke4l6CJyJBQv7Y3sGtomdfot4i3+EfH17CPsl+ztQ9ycFgKaGm4uYi6SblMKSCJv7m3sHxYade55bCPL7kzgqBfsd+zRwbVOBCHv3aZsHW3mWoR+LmZSdmZsI9yv3QM77OQWTd5F5i36Lc3p/T4oIe/ejmwdHk36Uc8cIJveT9z33VgW9xauitpkIC5n8egde+yeehgWmv5ObqqCpn7uSy4sI9z+L/HP874t9+I2Lwfc9eI4Fc1pxaHB3ZW9bhzSLCPs1BgtxnHumHr6LrabI4ggLYFJzdnqLg4uFkIuVi5mQmJCcCOn364eOBSZ4d4hkiAh7B8GKlYiLd4uDh3mGeQhb+0UFfFOEaIt3i2abeayLvYurqcLfCAuHjgU3fFaDa4kIe6UHr5eCdR+LgYd2f1oIQ/u4BWn7HnRfY4t/i4WQi5KLmpeIi6EIoH+bcHR5d3NnrHK5HuKLxtS09zYIC+NPvzoeYotjgmR2IlNA+weL+wSLNMBX6YvNi8ukxcXNzLPji9cIC4s/by1dTGRVZW5fi1yLbKqLx4vap9q50bPHt6q3i7aLp2qLTggLpHSjcm91dnBvoHWnpqGhph4LqYutlaaLCLmpgGRiZW9gH3KLgahtiwhwe3d1Zqx8rR+4i8atqbidpZWsi6WLwV+xNIsICzZcXlSLUghipG2sqKGfph6LnIWWeJx8mYaTi5WLpqGmwK4IC9+6ucKLxAizcqpqbnV3cR6LeJGBnnqafZCDi4CLcXRwV2gICwAAAQAAAA4AAAAYACAAAAACAAEAAQDJAAEABAAAAAIAAAABAAAAAQAAAAEAAAAKACwALgACREZMVAAObGF0bgAYAAQAAAAA//8AAAAEAAAAAP//AAAAAAAAAAEAAAAKADAAPgACREZMVAAObGF0bgAaAAQAAAAA//8AAQAAAAQAAAAA//8AAQAAAAFrZXJuAAgAAAABAAAAAQAEAAIAAAABAAgAAQc6AAQAAAAzAHAAfgCUAJ4BBAEWASgBRgF8AZIBmAHGAgQCLgJIAmoCpAK6AygDRgOUA+IECARWBGAEcgSABIoEoATKBNwE5gTwBRYFIAUyBUgFZgVwBXoF9AX+BiAGJgZYBoYGmAbKBuAHDgckAAMAEv/iALz/2wC+/9sABQAiAA4ANf/eADf/5AA4/+oAOv/YAAIAvP/dAL7/3QAZAA0AEwAPABMAJP/cACj/4wAw/9sAMv/cADX/8gA2/9IAN/+/ADj/xQA6/+wAQv/7AET/7wBF//wARv/uAEj/4QBQ//AAUv/1AFX/+QBW//cAV//dAFj/4ABa/8oAvP+zAL7/swAEACL/7AA3/+cAOP/tADr/3gAEACL/7QAp//sALP/vADD/+QAHACL/7AAr/+UANf/3ADf/5AA4/+oAOf/mADr/2wANAA3/swAO/+AAD/+wACL/ygAr/8UAMP/gAEL/xABG/70ASv/dAEv/2gBQ/78AU//TAFb/1QAFACL/8QA1//IAN//7ADj//QA6//MAAQAi/+wACwAO/9YAJP/TACj/2gAw/9QANAAGADUAEwBC//sARv/uAFD/8ABW//cAWv/BAA8ADgA4ACIAKQAkAAUAKAALADAACgA0ABIANf/xADb/9wA3/9cAOP/eADr/6wBWABYAWv/xALz/sgC+/7IACgANAAEAD//8ACL/7QAk//sAKAABADD//gBC//gARv/yAFD/9ABW//UABgAi//AANf/7ADf/4wA4/+kAOf/mADr/3gAIAA3/oAAO/9IAD/+dACL/wgAr/7gAQv/KAEb/wwBQ/8oADgAO//AAJP/zACj/+gAw//IANf//ADb/6QA3/9wAOP/iADr/7QBC//wARv/wAFD/8gBW//kAWv//AAUAIv/9ADcABAA4AAcAOv/+AFX//wAbAA3/yAAO/8sAD//FABv/ywAc/9cAIv/fACT/8wAo//wAK//aADD/7AA0//8ANwAnADgAKQA6AB8AQv+8AET/vABG/7UASP+wAEr/8QBL/+8AUP+3AFP/rwBU/7cAVv+8AFf/uwBY/70AWv+8AAcADf/wAA//6gAi/9oATv/uAE//7QBR/+kAU//eABMADf/IAA7/4QAP/78AG//eABz/6gAi/8wAJP/jACj/6gAw/+EANP/vADUAHgBC/80ARv/HAEj/tQBK/+4AUP/JAFP/1wBW/9sAWv/wABMADf/YAA7/7gAP/9QAG//oABz/9AAi/9YAJP/rACj/8gAw/+kANP/vADUAHABC/9YARv/VAEj/xABK/+0AUP/XAFP/2wBW/+AAWv/0AAkADv/lACT/3QAw/+AAMv/bAEL//QBG//AAUP/yAFb/+QBa/78AEwAN/84ADv/RAA//ywAb/9gAHP/jACL/5QAk/94AKP/lADD/3AA0//EANQAeAEL/yABG/8EASP+uAEr/8ABQ/8MAUf/LAFb/ywBX/+EAAgBYAAUAWv/5AAQAS//9AFgAAwBaAAIAvP/qAAMAV//5AFj/+wBa//4AAgBJ/+YATP/kAAUAVf/xAFgAAgBZ//QAWgADALz/8AAKAEL/8gBG/+sARwAdAEoAEABLAA4ATQApAFD/8gBU/+8AVQASALwAEQAEAEL/4gBG/98ATf/eAFP/6wACAFr//AC8/+YAAgA1//UAS//pAAkADQAdAA7/3gAPABoAQgAMAEYABABI/+UAUAAGAFQABgBWAAgAAgBX//UAWv/2AAQAUQADAFf/+gBY//wAWv/9AAUANf/XAFf/9gBY//kAWv/5ALz/5AAHADX/zgBV//sAV//yAFj/9ABZ/+UAWv/4ALz/7QACAFX/+wBa//wAAgBE//4AVv/+AB4ADf/HAA7/1AAP/8IAG//nABz/7QBC/+QARP/nAEX/4wBG/+EARwAWAEj/6ABJ/+8ASgAIAEsAAwBM//AATf/rAE4AEQBPABAAUP/kAFEACwBS/+MAUwADAFT/7wBVAAwAVgALAFcAHQBYAB8AWQAHAFoAHwBb//8AAgBV//oAvP/zAAgAGwAFABwAEQA0//4AQv/9AEb/9gBJ//wAUP/4ALz/9gABALz/6wAMAA3/2gAOAAQAD//YABv/+QAcAAQAQv/yAET/8ABG/+wASP/bAE3/6gBQ//EAVP/oAAsADf/aAA4AAQAP/9cAG//4AEL/7gBE/+8ARv/rAEj/2wBN/+oAUP/tAFT/5wAEAEIABABE//0ARv/9AFD//wAMAA3/9AAOAA4AD//wABsABQAcAAwAQv/9AET//QBG//kASP/oAE3/9wBQ//sAVP/zAAUAIv/AADUAAwA3AAEAOAADADr/9AALAA3/wQAP/7sAIv+8AEX/wABQ/78AU//TAFT/zQBV/94AV//nAFj/7QBa/+kABQAi/7cANf/7ADf/+QA4//sAOv/rAAUAIv+1ADX/9wA3//QAOP/3ADr/5wACAAoADQAPAAAAIgAlAAMAJwAoAAcAKwAtAAkALwAxAAwAMwA7AA8AQgBEABgARgBKABsATABaACAAuwC+AC8AAAABAAAAAMw9os8AAAAAxVMQUAAAAADOoXRVA+gAAAD6AAABTQAnAaQAkAH1AAIB9AAgAvMAUAMKAEwA1gCEAU0AKgFNABAB9ACAAqMAVgD6//sBTQAxAPoAGwEW/78B9AAgAfQAMgH0AAwB9AAQAfQAAQH0AA8B9AAeAfQASwH0AB4B9AAXAU0AMgFNABoCowBUAqMAVgKjAFQB9ACEA5gAdgJj/80CY//4ApsAQgLS//gCY///AmMACALSADQC0v/4AU3/+AG8//oCmwAHAiz/+ANB/+4Cm//sAtIAPAJjAAAC0gA7AmP/8wH0ABECLAA7AtIAZgJjAEwDQQBHAmP/4wIsAE4CLP/6AYUAFQEW/9cBhQAMAaYAAAH0AAABTQB4AfUAEQH0ABcBvAAeAfQADwG8AB8BFv9tAfQACAH0ABMBFgAxARb/hAG8AA4BFgApAtIADAH0AA4B9AAbAfj/tQH0ABkBhQAtAYUAEAEWACYB9AAqAbwAFAKbAA8BvP/lAbz/6AGF//4BkAAzARMAaQGQ//kCHQAoAPoAAAH0AAoB9AAcAfQANQFNAGsBTQBjAZAAZQFNALQB9P/iAPoARgH0ABsB9AATARYALwEW/4QBTQBbAU0AeQFNAHUBTQDPAU0AmwFNAGQCY//NAmP/+AJjAAgCY//gAmP//wIs//oC0v/4AtIAPAFN//gCmwAHAmP/zQNB/+4Cm//sAov/+gLSADwC0v/4AmMAAAJs//oCLAA7AiwATgLlADICY//jAqMATQL6//oCKAAbAfr/2AGaABMBzAAYAbwAHgHGAB4B2gAOAeAAGwEWADEBvAAOAcr/9AIO/98B1gAUAcYAHgH0ABsB+AATAfj/2AHGAB4B8gAbAZoADAHeABMCbgAbAcn/lAJIAA8CrgAbAcgALQIsABMCVABOAnMAGwMYABEC0gA8AfQAGwKhADcBvAAeAi0ACAHnACAChQATAckAHwLEAAcCEABdAhX/8AIEABsC0gA8AbwAHgG8ABgB9P/6A3n/+gFNAKsBTQCXAiwApgIsAJcB9ABlAfQAFgH0AAAAp/9XAAD+OwJDADAB1wAoAqwAAAK8AAABLAAAAGQAAA==\"); \n",
       "}\n",
       "]]></style></defs><text style=\"font-family: STIXMathJax_Main-Italic; font-size: 16px;\" x=\"10\" y=\"37\">Q0</text><line stroke=\"rgb(0,0,0)\" x1=\"50\" x2=\"464\" y1=\"32\" y2=\"32\" /><rect fill=\"white\" height=\"24\" stroke=\"black\" stroke-width=\"2\" width=\"95\" x=\"60\" y=\"20\" /><text style=\"font-family: STIXMathJax_Main-Italic; font-size: 16px;\" x=\"68\" y=\"37\">Initialisation</text><rect fill=\"white\" height=\"24\" stroke=\"black\" stroke-width=\"2\" width=\"29\" x=\"165\" y=\"20\" /><text style=\"font-family: STIXMathJax_Main-Italic; font-size: 16px;\" x=\"173\" y=\"37\">H</text><rect fill=\"white\" height=\"24\" stroke=\"black\" stroke-width=\"2\" width=\"27\" x=\"204\" y=\"20\" /><text style=\"font-family: STIXMathJax_Main-Italic; font-size: 16px;\" x=\"212\" y=\"37\">T</text><rect fill=\"white\" height=\"24\" stroke=\"black\" stroke-width=\"2\" width=\"29\" x=\"241\" y=\"20\" /><text style=\"font-family: STIXMathJax_Main-Italic; font-size: 16px;\" x=\"249\" y=\"37\">H</text><rect fill=\"white\" height=\"24\" stroke=\"black\" stroke-width=\"2\" width=\"73\" x=\"280\" y=\"20\" /><text style=\"font-family: STIXMathJax_Main-Italic; font-size: 16px;\" x=\"288\" y=\"37\">RX [π/8]</text><rect fill=\"white\" height=\"24\" stroke=\"black\" stroke-width=\"2\" width=\"83\" x=\"363\" y=\"20\" /><text style=\"font-family: STIXMathJax_Main-Italic; font-size: 16px;\" x=\"371\" y=\"37\">PH [π/16]</text></svg>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Etat initial :\n",
      " [[1.+0.j]\n",
      " [0.+0.j]] \n",
      "\n",
      "Matrice du circuit quantique :\n",
      " [[0.76817776+0.31818965j 0.21260752-0.51327997j]\n",
      " [0.30865828-0.46193977j 0.69134172+0.46193977j]] \n",
      "\n",
      "Etat final :\n",
      " [[0.76817776+0.31818965j]\n",
      " [0.30865828-0.46193977j]]\n",
      "\n",
      "Nous affichons ensuite l'état initial et l'état final sur la sphère de Bloch\n",
      "\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 500x500 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 500x500 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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ggOO6MEwTtm2DCAIc2wYJAghAmEhWlIowSQW1lCWYGb0U4AVpzRDUiauzwrBq48EqpV3XhRMpeGOfYYZEkqRQroKelxcEUKmYXSIWg+d5MEwT+UIB75w+DdOysH3bNmzeujXMLQBQVBU6NThsIvd8H7l8PhTJy2Y7DsdwQ9cE7DwbgRXq8f8BLCwu4vDhw9A0DU888QTisRg3WAEhcKhxMEwzDKvFYkimUshS45BOpzs6jz5uTfSNQh8AQq+gVCqhXC7Dsyw4lhUWlyFcmbueB8u2w1g/Ky4joUaRRIXhBjIZqKraEaulnaItth0L6QDgcXdODY0miSNeA6E0TouGShzXhUtrAYIgAEQxrEVAGJoxaThJFAQYpon5+XkUcjkMZLPYsXMnZ+5o1BA0KrJbyecBQpBKpUKjA1TkRaRIhXU12jEKACpYTC1Br1exWMTLL7+MwPfxzMGDSMTjoa5TxNvyfR9lw0CpVILlONB1Hcl0GolUCqOjoxgYGOjnHd7F6BuF2xye56FYLMI0Tbi2jeLychgGCgJ4vs9ZOixWL4kiYrEYYrEYCA0/CABSqVRHxoCFSfhqt2pVG51ECS3uCjdb22TEjulRI2fbNhzHgW1ZocGgFNZcLoepmRkQAGODg5jYuBGpWAzJZLItSYlSuVyRbG4EliyXIr+FSIKdG786jykTDmyWU6gHy7Lw/PPPQ9M0HDx4sKFxAiGwHAfFQgGFchmqqiIzNIRMJoOxsTEkk8m+cXgXom8UblO4rotSqcRDRQszM7ANA6IoQpFl7g2IkoSYpkGLxRDXdV7Na9s2irQOIZVKQWlWb4DIap7+HdAJrZ1JpVmYhB+DrnQDuj0Tz2MVySyExFbhUTE9IDR8nuehVC5jeXkZFycnIQgCPN/Hxg0bkKQsKpEaRV3XodO8StVAAISyGLbjQKPMpqiHwwxTs0ePJZsFQQhzL1XGI8q8Ysab1Tu0g6XlZbzw/PPYs3cv9u3dW2kYGPsp4nH5vo98Po98qYTMwACS6TQymQyy2Szi8Xg/Kf0uQl9F6zaD4zhhWMCyUC6XsTg/D7NUgk6LuXjVbyyGRCwGTdNqJu6AhheAsA4hahDqGYB60z6fmFuhapKLUjaj1cCe57UVhgJCXSTWBIf1PrBp3sQyTVy5cgUjw8PYumULXnvzTYyOjECSJASEQKa/TcOAaVlIxGJIxONhTULknHVNQ6lchqIoyKRSledAfzPj4FOjxSQt2GsBTZJ7ETXWagiCgACATI25TA06v77MUFQl4ocGB7Fv3z6cPnUKo1R5NWpQRMoMixomVgS3TLWrPMeBbdtIJBL8p28cbn30jcJtAtd1USgUYJomisUicrkcXMeBBiCTSCAejyOZTFZMbnVBufsBrb7Vdb2lAajZBdrn3JPIit73vLCRDjUGjVbFzMORRLGipoEZAzbWIAhQNk24rgtBFHHtyhVcnJzE9q1bsW37dhRLJciCgEwqBVXXOevJp6qnfhDANAxuIOOxGJKJBOK6Hh5HEHjhWUVOgf6W6JhY2VjF2RAClxqKaAKd/Q6Y50N/bNroBwhZXXKkalykYSgOaij27tmDufl5vPbaa3jv931fhXEPCAEiLC9G99U0DaMjIygUiyjm8/Aj8uelUgmJRAKpBrUpfdwa6BuFdzkIISgWi6HrT39EAIogIEbpl9lMBnKbFa1mRNCu65VhlZfAVrWMqy8grCPwfB92pN9CPXC5DEXhk2y9GHv0GDyfQL0DEIIL585h6upV7N+/H9vvuANGucxzKTr1mEzTBABomobhwUHYjgODegwu7QVhmCZACK/RiNXxtPh4ql6rrn6WqRYU25bLa9BVP8+P+D4sy+IFgOynmZFgFNYDDz+Mbz33HI4dPYqHDxyoOy5gNYTHiAYDmQwMy0K5WIRAQpXaZCrF2WuZTKav2HqLom8U3sWwLAuLi4tYWlpCoVCAJAjQJQmKKCKVSiGVTLaVHGbhIFa3QAAkEwnIXWjnEIR9EPhESTn+JAjgREJBzAhEQ0ICnSgV1tpSksIeya3GTsdPggCGZXEWFQuLnHj7bSwuLODAgQPYsnkzynTyZwllAUAsFoMkSSiXy3BdF2VCQi0kXQcBDcuVyzBNE57nwXUcFMtl5AiB4zjh9U4kVpPU1UaxwdijRXpR9hIA7v3IrNYD4En0aJV4MyMRi8Xw4P3349XXXsPElSvYtHlz07oKVvhHEIYOVVlGvlCAWS7DNAwk02mk02ksLy8jFoshnU73NZZuMfSNwrsQvu9jbm4OMzMzKJVKEAlBnFYYZ9PpkIbYIkQEUQyrZUHj1kGAUqkEALxauCNEJjaRELhs8qKyGNGCNAZRFCHT/sbsJ5qvqD90UjOJBkEAy7ZhWhZPqDIZ7SOvvAKjVMITTz6JUaoP5LkuAFSyjGgBXCqVQonKWBRLJW4cNU2DpqoAlbswDIOHVhzXxVIuh+VcDulkEgOZTMW+o70ZCMCvO/+/4SVdLQ5kf7OCQIWeX9RIsOtcbSTSmQwmJibw5tGjGBgYQILlQJown1j4TRBFpDMZlA0DjmliyTBQWF7G4PAwgJCQwPSV+rg10DcK7yIQQjA3N4epqSkYhgHB9xGTJKTSaWQzGcTj8VX1zTqfjU4u1ZNv2TC4NlEiHm97TNHQiU/7BZiWBZdOvFGwyYyFOSrqEqr2VfdYdMycygqE7KqIMVBkGfFYDIZp4qWXXgIhBAcPHkQ6nebxeRYqiXpC7NiyLCOVTKJULsP3fR5HV2SZx+o1WtksS1LYZU0QwmI6z0OhVEK+UEAymQyb7VDjKlSdAzMGQp3vqhr1qpvBaMSSBJVWWwNoaCR27tyJ5ZUVHH7lFTz88MPQdB2qoqzmI5qMQxQEJONxmKII0zTh2Damp6ZCmY/BQQRBwENKfeG9mx99o/AugWEYOHPmDAqFAgTfhwpgIJvF8PAwVPogcukHimicvZqSGIVLk5gBIUi3SCJWGxPG7GHJSPYagAoPQJHlGpmGVl3RGh4fYftOo1zmmkSyJCEei0FRFF7ZG4/F8MSTTyJGY9+CIHBjJUlSKLVdDRK2/EynUijRUFKpWEScttDkbTwRxuxlGqKJ6TrKhoFCoQCLehKlYhHxeDw02FUNcdh5MCZRU/pqvZV8xLizEBQbk0qlPgBwqQvP83D3Pffg1VdfxeUrV7Bp0yYY1KPSVLVyMo/QaxHxJnVdD0NshsGFE8niIlaWlpDKZGBbFrKUwdTHzYu+UXgXYGZmBhcuXEBg25ABDA4MYGRkBLqq8lVvdGLhq9IW8XgGk0pia6paEfYgAESgZuImhHBNnWqPQJFlrpvEufjMGFQZgVac+7pUV0S8A4STezwW45Pg1elpvP7KKxgeGcEjjz7KGTds4nQjoSO/Krkd9UAEUeQeg0NVV5niKttWkmXAcfh3wKirpmWhQAsGLcvCtGFA03Vk02mkqprhVOcV2HWKXplW0tr1elCzeg1RFLlnk4jHMTc9jampKWzdsmU1/OU4ECWJbxclFzBjQwjhDZMS8Tj3pGzHQTKRQH55GfnlZVimiaGREWRoS9M+bj70jcItDMdxcOHCBSzMz0NwXcR1Hds2b4ZOV53Roi8ChCGFdusDKDwa8gkI4fuN5gcqtvU87hVEJ3RJkrhYXHTl69OYNEeLcfGEbCREFAWTZ2BFcaxwjE1i8/PzeO2VV7Bp0yY89NBDldpA9G/eKlRRYFNjWDGGcCDhWIWwH4MhirBsG0apBDGZ5AaISVkwvSV2tJiuI6brsB0HhWIxHLPrYm5hAcsrK8ik00g3UykVViU+SBC0JbRXswt6zlwRlu5rz969mLp6FflcDhs2buTfZ+D73Niq1LDLNGQWvX6MLZVMJFAslULar2EgmUjAcV3MTE2hXCphYsMGDI2M9OsabkL0jcItiqWlJVy8eBFGoRB6B4OD2LRhA59kg6rJIsrC6QSMhqlSkbtqBEEAm9I7o0aIcdq1iBYSibzHCqsaVSuTqEGjE1cjnSEgZFqVTROs30I8HoeuqmGdA4CVlRUcPnIEo2NjoUGgnopAq6BFsqo+ShB6NCy/QKIr8+r4uiAgHo+H4RLHQdkweNhIoscIqiilDJqqYmRoCNlsFoVCASU6iS6urGA5l0MmnQ77Uchy3YlfIGHntejqv1MDUZ1DytKk85mzZ7FlyxbI8TjisVgoBUJDgA4VGhSpWq6qqpz9BFQaBuYxMMMgCgIKuRwMw4BhmtjYqG91HzcM/W/jFoPnebhy5QrmZmfhmiZisoyJ8XEMZLN8wmIVrCxf0EnnropjUfefIKRkMhBKs2TJ0yiYR1Cvy1r1lC4KAu8hUI2oHAWT1I6+F10plwyjIuyToLILTDq7XC7jxZdeQjKZxIEDB1arfLFqqAhCLyEgoXpqhfYSKkNZBACq5K1jsViozuq6KJZKSDFdIEK46J8gCPAj+2W/ZVnG4MAAMuk0SsUiitRzWCkUkKNJ6XTEA+HfT9X3Gk1SN6K5NgM7n7179+L5734XMzMzmNiwYdXA09oLJ7IIYDIpSiT3wORAIAhIJZMoFIvwPA9lw0AiHockSSiWSrgyOYlioYAdu3ZV3F993Fj0jcIthFwuh6tXryK/tAR4HrLJJMZHRxGPJO5YIpmtqjs1B1EZCRY+UWgRlRtpzBKFIss8edlpnFgSxdX+AFGjhsjET9+rNgy2bcOg1cRAGLNn2kwMjm3jpZdfhqooeOLxx+uuStmIWQ6hVf0FK7KreE0QkEgkEJRK8FwXpXIZSZYfoJ6GAJqDQZWhYd8ZpXem0mmUymUUSyWuUZXL5ZBIJDCQzULXtLDSuYGx56EhdGcchgYHMTIygjNnz2LDxASXuyD02sjxOGKxWOgx2HbIZHJduNR7YP0qQA1sMpHg9R2GaSIRjyOdSqFsGFhaWIBRKmHn7t2cxtrHjUXfKNwC8DwP09PTWFlaglEsQiIEQyMjGIo2QCEERBBQHaENaJ+DViA04ctWm0xuOvB9EFFELp+v1MZhCcoqUbhmvPpGEIVQvyeIeDdBNOlcncimcWrXccAqf5N1qqt9z8PLhw/DdV0cPHgQWosKW49SbtsJZ9QtNqM5hmKxCD8IePJZAGqS6Oz/upXNdIWdSiZ5PweLrshLpRJ0XUcmmw1rLbDqIbD9VieWuwkr7d6zBy+/9BIWFhcr+jtzg01zNqypkE3DSwGVALEsi/erUGnlfJEm5YHQgCcTibD7nWni7ePHccfOndiweXM/AX2D0TcKNzkKhQKuXr0KxzDgGAbiqop0Oo1MOs0NAp8UqlaOQRurxApjwPaDUOXToNW5STrZsolArWIhRdHV4ywIYdMaQlomTl0at2feQywWg15HSoIQgldefRXFQgHPPP306qq9ClHpCL8Do9AIoigimUyiVCrB9zxYlgVd1xEEQQ1rh517s/ONx2KIx2KczsqqpsumyXMOIuuHsHry/BjVNGOWQ2n1PY2NjiIzMIAzZ85wo4Do/SSEFeIQBM7wiuk69yZd2tzItm3ItDYkGY+HRW62DVGSoFPGEyEEruvi4vnzKBeL2HrHHdD64aQbhr5RuEkRBAGmp6extLgI4rqA5yGTSkHXdSQSiTBUQ7dlMe5qtFwb1pk02Cp8YXERfhAgHotBpk10lDp5grWgug5BEgQENJxUo45Keyo7th16B5KEeDxefwInBG8ePYq5uTk88cQTyA4M1D8+IqEjKjDHpC/aGj/qT66SJCGRTHKPwbSshkapIhTVxDhoqorswADiiQRyuRxs20Y+n0e5XMbgwEBNnUO4u9r6Bp6UpouIRt+nIAjYu2cPXjlyBCsrKxiovoYszEj3Q+jfLIzoUwKCQVudFkslnnewHQcWJQXolCFWokqxCwsLsG0bE5s2YXh0tOH16GP90OeD3YTwPA/nzp3D0twcYFlIaFpY/arr0CmdkXPO63gIDNUTQg2LJvpeEMAwDKzkcigUiwgIgaooGBwYQDqV4rIQ0f2spRUHoWPn4Q8Kkb4mRlbQnuehUCyGoQdaJJVKpRqu6E+dPo3Lly7hoQcfxNjYWMMxRKuFuZfQgU4Py3nUg0xj6ZIgwHPditxHvf1wb6/qewkow4gV4WmahrGxsbB3sizDDwLMLSxgfmGhqcQ2A1dWjUhzB6hNpgPAhokJJJJJnD17tuG4uXFA5fcoiSLisRiyEY+WeRGEHs80DO5BJROJMBHv+ygWi5i+cgWTZ8/W5K/6WH/0jcJNBs/zcOHCBdjFIkTfx+jISBgeQUgLZdLWLL5L6mgGAZWrWB4Hprz5igIxKv+8ks/DNE3e/CYei2FkZIRXsrJJo2Iy78Jr4LTUZqGtyIrdtm0U83k+eaSSScRjsYbHnpycxDunT2P//v3YsnVr43FUFYCxCbVT8bZmV0BRFMQTiTBpTwvV2toXzbF4Eens6vNNJpOYGB9HOpGAIoqwLAvXZmaQp9eqrbFH8g3MOHi0pwMLK+7ZvRvT09MoUt2rlvus+l+WJJ5YjgoMWlRZlsmOs+9WEFaFF0vFIs6fPo1SsdjWsfvoDfpG4SaC53m4cO4cnEIBQhBgYnwcAl3VyVSMrSKp20L6gK3Iqg0BQI2BaWIlnw8btbP+CJrG+xArssxVTQGsFr91cW7Vk3BTUC/BMAxYlgWBjitN+x03wvTMDI4ePYqdu3Zhz+7dbRxm9UyYUeg0n9DKY9JUFRpVUjVNs+nKlxf1+T4COjlHBluzvSTLGBoawujoaJjwFwSs5POYmZtraYDqQQCV1RAEBLRGY9OmTVBkGZcuXeLn285+KkKbCI1tKpkMvScqIGhbFnL5PErlMt+G6WrZlO7sex4mz57F8sJCx+fTR3foG4WbBI7j4PzZs3BLJQgANk5MQJJlOLQ6N5VM1hiERpMRAXiMt65nQI1BmbrvkiQhmUohm83yfauquloFDdSEBzpB9X6abkvPq1gqwbJtgIQS1aw3Mmv2Un3mS0tLeJVWK997zz0dFemx5jVAbz0FYJWlpdAQCqNmRsGK5DxqDFhCl1V/040aHkPXdYyNjmIgmw1DSr6Pmfl5LCwttRVSqndOXJ5bkrBhwwbMTE/zNqftGvfofth5KIoSMqsSCei6DkIID1l6nhfmHTQNBKE3wT537coVzFy92vG59NE5+kbhJoDjOLh4/jw86qJvGB+HpmlhMg6AyiQFIqhHZWThHaEONRWErHoG1BjIdPWWzWahqWpYlOa6ACG8CKlbzwCIGCe0b1D8IOD8fAFhmESvqj0QhLCpPWuCUywWcejQIQwODeGhhx5qbRCqwjEsnyCKYlfa/00FAul7rPgLAIrFYrgKpoaAteGsoabSMbHxNvNIRFFEOp3GxPg4kvE4FFGEaRhhSKlQ6Pic+NgFAeMTEygWi1w6nfW9btVnmp2DAFSKHdLcyPDQEGKxGAhCY1kslVAul8Me4TSM5LouP8bC7CwunT9fo0nVR2/RNwo3GI7j4OLZs6FBEARMUIPgui7X9U9UMUtYpW4ULExUMz0RAss0sUKlBbhnkEwik8lUFHt5nhc+6IIQGoUuzykaKmpH+pkf3/f5ilGkjYCa9m2gtMjXXn8duqbh8cceg0irkZuG1qom8U7qEzqFQFf7vu9Dj8UgUHZVoViskSKp+3msTqjNZD4YJFnG8PBwGFJS1TCklMthena265DS+Pg4ZEnCtWvXat5nXg6XA6lTKQ5U5pDYNqIoYiCbRZIWX3q+D8d1UTKMMAkOwLLtitqIQi6Hi/0E9LqibxRuIBzHwaUzZ+BRvZyNGzZwzr1BNYd01u83ggpdIGCVGhgNEyF0v1dyOZRowxeRMmIymUwNt59JVwBhHPx6hIqicDwPhUIBnudBEsWKxGQznDhxAsVCAY8+9hg3ZNHjRg0UIaRu7Ua7lczNwPI30Uky2leZJYwTNKYe+D7/jluBhWEqxANbQNd1jI2N8ZCS57qYmZsLQ0odyp5IkoSx8XHMzc013S7ajyLw/ZqGQRXnQu89RZahaxpisVhYLS1JoaEkBGXa6tSJhNsEQYBpGDh/6hQMmovoo7foG4UbBMuycPHMGTimyQ0Co306th1OVLQ4KwoWZmCTXb3QheO6WKEJPJ95BrQXs67rtYVeACAI/OHrphEKT2qj89yDZdsoFQoICAmb2KRSNYawHqanp3H+/Hncfc89SKfTFe9VdCWLvCYAnIrJriELUTA5bz650R9S5yeIToD0t0+po9HPcbmRyOo4ThlkdtWE1wzdGOloSCmRSECRJBiGgWvXrqHQIaNnw8QElpeX4bK+1q3GS704n/5UNEsCKgrhYvSeFADIihJ2s5NlqLIM27axtLxcmRuh1NXJc+fqKtn2sTb0jcINgGVZmDx/Hh41CJsiBgEAbDpRxKokJFjYiCBCL43ADwIUy2UUikUQ34dE+d8NjQFzywHegSug+YROwMIx3UxchmmiXC4jQCimV51Qb/g5w8Abr7+ODRs3Ysf27R0dMzrOgJ4zQJPM1eGcBkaBvc62aXjudQrTFEXh3wdr29nWuKPkgQ4gyTJGhocxwkJKooilXA6z8/NtJ6LHJyYgCAJmZmcrXm8VHGTXKCCEe04146M1DRAEWJbF6amZTAaiKML3fawUCrBZyIju0/c8XDp/vqtkeh+N0TcK1xmWZeHi+fPwDQOiKGLjxETNJMwVPyPxdAJwWYF6HdIc10Uhn+d9d2OxGLLZbENjUM19Z6EjRVHail2zMQEtag6afJZJNgBAXNeRogVMLT8bBHj9tdcgyzIeeOCBjphG1WATsiiKa9b2rzeK6hAdg67rUBQFhIZJ2qV6RvfbafFgTNcxPjaGbCoFhXqk7dJXNU3D0NAQpqen+fE5oaHJ9a8poAS49xAN5XFlXYQLBUEQoGsaMuk0b3hkGAava2BjsC0LVy5ebLs2o4/W6BuF6wjDMHDh3Dn4hgFJlrF506aaRGpU/VKJxNSrJSHoiwgI4d6BTwgkUUQmleLy0ZWbRxLAVftyHAcghLfubIXua5nDVWOxWOQrv0QigVgHfZ/fOXMGC4uLePjhh5snoqtQbxINaJK5G9ZRNeoZtEZGQRCEsBBRFOF7Hu9u1wkqKKsdfCaTzWJsbAyKqiIgBDPz820xlDZMTGB+fp6ztQDw/BFQm8BnYbZGYI2WfEpzTdBEPGvWBISLlBiVWIEQ9roulkoVYygVi7h2+XLb16CP5ugbhesEz/Nw6eJFBJYFRZaxacOGuhNRtIiKVy0TEurUVD1gjusiT3VwgHAlmI00R4/2IYiGimrCTr7Pewm0EzpaS7jICwIUCgVOfU2lUpwB1c70triwgNOnTuHOO+/EUAdSy42K5xjzSFqjl8BQ1zDQfVdP4KIkIRmPhxW+plnTm6IuqvcRkQPpBJqmYXxkBMlYDIooYjmfx/zCQtMV98SGDQiCAPPz8zXvMa+hwgh2MJ6AesEaNfKmZfEcExAa7SRd6DAtJZvmNwQAuaUlzFEvpo+1oW8UrhOuTk3BtyzIgoCNDQwCEGkHySQB2GQVYRc18w7qNbZhoaJGoRl2TFlRmk6OvO6gy9oFz/NQLBTg0XxHJmLAwgM0n0Yc28arr72GoeHhtiqWq1FvzGzFKfWIjlo3hER/1zs7JSI/Xi6Xm66sBaDWW+yQlRSFJMsYof2SFUGAaVmYnp1tSPdMJpNIp9OYnplpul92r1V4FG2C9eQIggCu60ISViVdWF9s1hWPhZOYFz03M4PlpaWOj9lHJfpG4TpgcWEB5VwOCAKMjo01DVW4rhs2M6EPB5O5YHBcF/lI7kCv8g6i4LULLWLubBJoFjrqpu4gCtt1QyMWBFBkGel0urOQDSF448034fs+Hn744a4nwmp0I4TXKbhRaLAKj8XjYetOQlrSLBt9k2tRr81kMhgdHYUqywh8H9Nzcw21jjZMTGB2ZqZl2CoIAi5u2AmEiLfAKpolKrfC6leSySRitDdGNJwkAJi+fBm55eUOj9pHFH2jsM4wDAOL164hcF1ks1l+M9dDNAHM8gGMLlrhHQQB9w6SdbwDTlcFeNVvs2O6rosgCFqGjrqddmzHQSmivNouwyiKCxcuYHp6Gg8++GDHrRsbSYJEqZK9bCBf4621mLAFQUCCisG5rts88duqerpL46DTJHRM1yEJAhaXl7GwtFQTTpqYmAgpzysrDffFcgVsvJ0aLCYL73teWFNBw6fViXp2H0XDSYQQXLl0CSt9w9A1+kZhHeF5HmYvXULgedA1DQOZTN3tCFa7jrHwDaEPQUCrPNv2DsiqlDFDM8PAiqpEUaxZLVckpjs681U4nodyqQSCMI6dTCYbrvIbrT3z+TxOnDiBnTt2YGJioqtx1Dt/VrQmSdKaVtr1UGGE6L4beQpsDKx+wbAsnuuoRqtRdlMnwsdAw0npdBoKDWfNzM3BieQ6BgYGIAlCQ6PADAKvDWE/HVxfURTDQkRRDO95RrKgzwOrnpZluW44CUGAy+fP90NJXaJvFNYJQRBgYWoKnmWBABgdGWmocFqxomcTCC2IKhpGW94BUFlNXI1GD6XXgH3TbF/twvW80EOgIYF6OY+KY9ZbzXseXn3lFaTSaey/++41jKYWbDXb69BR9STIReFafE7TNCiaBhEhXbdefqGtyXUNBo5JTwwPD6+K683McCqoQNlLuXy+7udZDUfNkNCeTAeDRgUZXcfh3xN7PgiwKu8tCKE+VlU4KQgCTJ4/j6W+umrH6BuFdUAQBCjOz6OUz8P2PAwPDVWs6utVIkcrcIHVquR2cwetqon5Q1n1wPLVcpT+GvlMt/A8D0UWMpJlJFrVIDQI8Rx76y0YhoEDBw50FeJppoPE6KjtVE93irpGoY18TCIWC/WbaNOjro/f9SdDxONxjI2NQae5rfnFRSytrCAIAmQzGRTqGIWKsFGjcbUZTpJlOfSaRXG16jvCehMEYbXeIQgQ03UkI+GksmHAc11cvngRS3XYUn00Rt8o9BhBEMDJ57G8uAjH85BMJJCqasXIGEFA7UMiINTdLxSL8BlLp5V3gPYmAZ6riExOHtWokSVpVWW1zf01gkdjvMwgJGm8vJ3xRTE1NYVLly7hvvvvb9jOsh209JJ6mE+oQOQ7BtqjaAqiyA2oQzuVVeyy3WOv0csDwhqB0dHRMEQjiigWi5idn0cilUKhUKjINxASdohrN7zVjoFnVGWH5gqqv0dREELaNQkFB1m3O5mGkyzbhmmauHTxIhZa6Db1sYp+j+YeIggC+KUSFufnw+bkooiR4WF+Q/PfqL9i8n0fxXIZtuNAU1XoiUTTkEs3K3pmGBgv3Pd9gOojgbKd1gIvCHhvYqUDg1AN27Jw9M03sWXzZmzZsqXhdmxi8pnWf0R3iBX3AeATNMuTBHSczDhLTLufrLYaLRaLIECoE8QmWXYuQq2mUkWlecQrs20bjuPwvI0Qkf2ud21kWYYei8E0TZimWVFl3tGVpOPqtMAtClEUMTQ4CF1VsZTLwXNduJ4HjxCUSiWk0+m2DUIFIs9CIyqyqiiwLIv3mmh0H7Fni90LiUQCtm3DotpSge/jysWLACEYGR/v6PxvR/SNQo8QBAG8UgmFlRWYpgmPEEyMjtboyAP1E2+sDzF7T9U0LilcjbWGdwRBgChJcB2HGwdRFNe8svQjBoElAduljkanhSAIcPzECUAQsHffPli2vSrNzLT8yWqv4boxdOr1IGIUWI0FEQQEvh8WCtIJpZ5+Dhe9axAWEbAatkO9v6mBsR0Hjm1z4byKfYhiWPRFZTZEWncg0LF7vo9yuRwa17auZC0Eyl5by/ebSCYhqyqWl5bgx+MgAK5NTyOVSnVuENi4VgdY13Cx+5SJFjb16Ng9QO8JXdMgiSJKhgGPKtJemZxEQAjGuiQr3C7oG4UeIAgCeMUiHNNEbmUFjudx3aF6bm/1/zZNjoEQaJrG4/sedYmj6EW8n30+oFQ/SZI6SgLWQ0AI54uz1osNWUYkoipKlUV9OkkHQYCVlRVcunwZ+/buheM4vPo5moSvPhcxuvqmBq6CicXeQ3j9bWpomPFC5D32/bAJPJVIIE3DV9UV4lHPgv0dfZ810PE9Lwx3iGJobBjFkhmvOkbHDwIYpolSuQzbsiArCr8GkihClCT+u1U4RkTYVnUt37KmqhgbG8Py8jISuo6FxUVkBwYwNDDQdd1IK8MgAtyrYL1Amu2HnSPbNhGLoVgqwfM8GKaJq5cuAYRgbMOGrsZ7O6BvFNYIZhCI52FxaQme7yOm65x+Gg0b1XN/LcviPWpZq8JCoQDbdeE4DuQIJz+6Eu0FfN+HJMtrTrQyLaNocxwWouJy0swAVPceBngIwaf5jbNnziCdTmPDxo2Q6KpZjPwWq15rGF5rEjbxfD8M02haw/oM7tmJYvcVz4RwyquiqkhGNJ6Y50CCAAEoDTniBYmiCE9VYVkWypaFBD3fwPfhRZhqdLChgaDd49hvSRR5OEsEGntWbUIURQwNDSGdSqFE+x0sLi9jeHBwTbUePDRXZVjZ96QoCmzHCdVUm42vauEgyTLi8TjKhgGXGYbLlxEQgomNG7se77sZfaOwBjCDAN/HSi4XFs8IAsZGRvg2zaqKS+UyL1TSIuEiRVVh0yRjnLYrBHpnENgKmk3CqqqGHcJ8v+MJIyAE+XweFhXUi8ViKJdKYRK3zqTMDIAgCHzSkmicHQAunD+PcrmM977nPcg0qOto8ySbvs3lLdaxkrkGVWMSaXgETcaQpIsE1/Og017PHm3lGTCDGwRAJO7uVrHMmCchiSIE6hV223qUeXlDQ0NYWFqCiHBhM7+4iNHh4TUbBkZ0YAYhIGG/cFEU4TgO773Qcl9sMYYwRxOjORrGZJq+cgUgBBObNnU93ncr+kahS0QNguu6KNG+u+NjY5Aov7smAUlBaKiFyUvE43G+AvKDIJykDYOHVCQqKdwLRNVWPc8DoW62IAgApUI2g0fH5EXP23UhCALiiUQYm69iVsmSxEMdkiTVLRYjhKBcLuP0O+9g586dyGSzazvROvTbKJi30stK5npYW9o+NByxWAyBYcB2nLATX5UyLMFqX4jA9+FRg8HbZHoeAoB7FyzRLgkCJFmGJMuQ6ffS7HqwpjkAkM1m4bsukokEDMOA47o9MwxAeO+47PnQdd7L2nGcihayzXcWGgZREHjy3qJjBYDpqSkEhGDj5s1dj/fdiL5R6AJRgwAA+UIBvu8jHoshmUhU5BHqMoxojBMI49UaLbwh4c4hCkLYdcp1YVpWDaW1W7CCNACrYQqsFm8JggBEK6oRGo7oD0tMB0EAi668REEI1U5VlU/63axE3zp+HIqiYN++fWs/1yYGgVWKA+vvKQiUNkkP3NU+NFWFY9twEaqHxmKxmuJHSZIgAYAsIzplMkPBPAr2NwH4StyNGHJRkiBTIyFLUqg7xMJckWMyL86yLAwPD2NxaQmu62J2fh6jw8Nr7ncdBAF/RhRFgSiKMOlr7RoFtiBjDDRFliHoOsqWBdd1YQCYvXoVoij2Q0kR9I1CF/ANgxsE13VhGAZcQjA6MAAAqJdcBsJCsTxt2C6IItLJZK1KKP1cLBaD43lwHAe260LrokVmFNXTEXvgoqEb3/fhuS73AlzX5YwdFusVBAGyKMKhsV5NVZHJZit6P3SDmZkZXLt2DQcefrirdqBRsMRvs1wDO5f19hQAgER1rLpELB6HWyzCcd1w0m7zeouCAFGWax50gvD7ZpRNZvAD34fj+3CEsJ0m8/YkekyZenl6LAZd05DP57FhwwaMjIxgcXERnu9zj2EthoGpn6qyDEVVIbguYNtwqSxLRzRnFpJCKDSZEASUy2VuGKanppBMJpFaS7jyXYS+UegQvm2DOA5fdbMis5imcbG7aB8DBsd1OS9ekiSkk8ma5CVnsTB3V9dhmSaMchlKJtM1Q6jeZMRW/gDCJLHv85wCY8UweqQkinwikiQp7IzlebwOYa0Gwfd9HD16FKOjo9jYoxhvs0mjkbTHeoGbnTXUC8iSBF3TwoIsy1oTRRUIV9HMG/Dp5E/oStyj/TW4/pIgVPR6kKg3kUqnuQaSpqoYGRnBwsICvCDA3MICxkZGujIMtuPA87wwJBmL8byAABrCoguSts+16l6QafLZMAy+qJs8fx577767o6ZN71b0K5o7QOB58GnrRAHhyr9cLsMNAgxks2ECtc7nbMtCoVDgIl6ZdLoum4WFZtg+4rEYJElCsAbJg2hxUBAEsGwbxWIRiysrKBWLcBwnrFdgPRVEEToVrstmsxjIZpFOpRCLxSDLMizLCpPjhCCRTPbkITp79ixMy8J9997bVaFbp+DyFtfBSwDAi7TWml/QdZ2zutppodku2HUQRBGyokClOlWZTAbJVCpsHUqbPjGWmG3biMfjWMnnUSgUYJgmREHAyPAwZHrPzi0sNOzN0AhBEPAWrbquh54swmuoyDIgig3FAhuCUZMj9GRVVRGPx8PwGRWcvHThQmf7fZei7ym0iSAI4JXLq6s9QUA+n+deQpx20GLvse3KhsFvcsYwqitXwUS/Iq8JCKszC4UCbNuGqqptt8sEwHMCruvCcd2KAq3A9yGIInRV5RO+TKuaa0AfJsdxuHGKx+Nc934tKJVKOHPmDHbv3o1kKrXm/UVlwxuBJZnXTd6iDnph7ES6ci6WSrAsC6qq9uQcWGiluikOIwnIkgTQOD6L9fu+j3g8Dss0w9ATIXBoJ7RUIoEcfTbmFhcxNjzc9uLBME3uTUfvLwFhbsFlHm67yebwRGpeIoRAkWXEYzEYNDc2NzODZCqFDbc5I6lvFNpEYBhheAXhw+JFvISRbLZmEiKEhEVHkVaZiUYVymwlUye8oLAwkmWhXC5DbhFGYtWfjuPAcZwapU1JkqDShvEkCJBMpdoK//i+D6NchiCKiOk6YvF4S6ZSO3jrrbeg6XpXndTqQYgY5Ea43nRUtkJdq6cAhNIPqizDpivqRlXv7YB5LyxcyGiczSCKIp/gM5lMWIdBFxSu68IPAohUvymXy8HzfUxNT2N8dBSJFn24bceB67qAINSVd1FoCMnvJq/AIAgQCUFAPQdFURBHaIwcx8HFc+eQSqVu6/xCP3zUBnzbRsD6wdIbsUBXQrqm1dzsQRAgT1f3AJBMJJoaBCH8o+Hx47Q3bRCE/Y2rJ3oeFiqVsLyygkKhEGrG0O1UGkPNZjLIptOIx2JcMbWdPAUJApTKZfgkbJLD4rzRKuJuJrxr165hdm4O9993X88m6HbGwWiV1yt8BKAlRbYTxOLxMM5PPcBOQVBZOFct3NcudE0LmWi+j1gshnQ6jWQiAVVRwjBpJhPmLFwXl6emMLewAIP2oq42Po7jwGBhI02rez9EKbOt1FibgbB7lrGS6D1NAFi2jbePHw+N022KvqfQAoHnwTOMigfG8zyUymW4vo+RSKEaEN6s+UKBJ8pSTeLu0ZqBZqtuAUA6leJJ7WKxiHg8Dtfz4NKkXHSfoiBA0TSoirIaC646LguztGMUSoYR1ktIUqhWWlVJKwCQ6EPWTOAsCs/zcOytt7BhwwaMjY+H16vlp9pAi2NHhdPWQzL7ekAURei6zgXzZFlu+T1Gq4SbeQNcLLENaLoOEMIXPwA4IUFHuFiJx2KYX1yEYRhYWl5GEATQdZ0nj1VFAUG4UgctVNObhIZkWUZA73nWXKdbiJF7NuoxlMplnDpxAvc+8EDX+76V0TcKTVCRR4g8dIV8Hh6tS0hUyRYUi0UEvg9REJBOpxuyJBh7iYUVWt3aTE9oaXkZpXIZuVyOexDsfUVVobZBV/RZQlto3fTdtKwwVgw0zIcw8EQeImGJBjh9+jRc18W999zDP7tmtDFB+JEk81r1ntoFP0qPPAVBEKBrGhzH4Unfem1e+X1F6xLa3r8othUa1Gl1sRUxClEw47V540YsLi2hTBtGBQi9AeK6oWGzbciShEQiEXqhTb4XWZYrFkJME6nZZxrdh4TVEgUBCA0lxRBK1y8uLODy5CS2bt/e8jq829A3Ck3A8gj1vAQ/CJCNVN0SYLWBuCQhnUg01Msh1e56i8nC8zzYtg3bdSGIIq9edRwH2YGBsBEKY5C0c2IshtzCILiuC7NcBgEQpzr1baGqkputxhjvPZ/P4+y5c7h7//4wFNIrtBGiYSG16xk64teBhtl6Yopo0plJpaiKAokqinJPsMu4O2PotFqFS5IEVVVht2BCCYKA4aEhiEIobeI6DnRNCwvSqHosyxUUSyVOqKj3HSmyjDIAEskrMO+mGw0s0IUR20ZVFPieB8d1cfH8eWQHB9cmt3ILop9TaADPtuHTPEIU+Xw+dIE1DYmIOFepVIJHk2SZZLKxh1Avflvnpg0IgWlZyOXzyBcKsGwbhPYoGB4eRiadhq7roRQAnQzbffz9NkJHAc0jEISrumYufSuwql5WKHfsrbeQTiaxc+fOrvdZD+2EEqJ9ma836kmerAUyjd0DIcuNVS3Xvcc6hCBUCe41gKZpbdFjBUHA4OAgEvE4JEHA8vIy8sUiEokEMqkUEskkWLMcyzSRLxa5iF0UXMMJqHhPFMW63hCT9GgGbjzpdWPUX9/38fZbb912+YW+UagD33URVOURgHDFblB99oGIl1A2DM7HTjGD0IAGB9Q+rNHEset5KJZKWFlZgUH1jwiNtaZSKWSzWSSTyXD1QllQTGajXTCefkNPgYQNVIIggCTLLVkjnWB+fh5LS0u45957e9LDgaFVuIrhemke1UMvgkfVngDrTezS5je9RDvfja7rDcNHNfsTBAwMDISrcd9HqVSC6zhIp1JIJhLIZjLh+VB5ccdxUCqVkC8UYNJmOwCVvQAqcmlA/aJReuDmA6P3IetKyIrmAMAwDLxz8mRb5/duQT98VIUgCEIZizooFgrwgwBahHFksmIugDMvAFTo+QOrE0K9pG8QBLAdh3eZYpBEEZquQ4uEhxhkWUY6lUKRtkXMF4uIx2J1Y8vV4BXLDSZGxhARgNrE8hrx9ttvY2hwEGPj4xWx9mrPqZVURT20sy1jrVxXTyEyrk6pqVFDx+6ngH5/AL1HNA02vQ+VHulkAavXs1loJqbrKFPWUCsEtD+EputIUOaUaVmwaE5EEARomgZN0+BR8TvHceDTYj3LsqAoyqqKah0jKFblQ9pNmvMFGw0lSZKEmK7DtCzMzc4ie+kSNm/b1ta+bnX0PYUqBKZZt+EJIST0EjwPWRpjtG27spirKsTCJvIoDzwK13VRKBaxksvBMAxe0axpGtLpNDK0UU+9FT1BOLFlslluiAzW27nFgxDQxGO98JHjOGGxHSFIJpM9LfCamZnByvIy7rrrrspVaPU4aBKceRLV0uNrWXHzGoUb4CkA4L0NqhGg0gMI6A+vJWCfRe0KXtf1UAqdFir2drjN9aFUTYPdhlFwPS8MsVJW3vjYWFjZL0lYXFqqqXyWJQnxWAyZdBqxWAyiJCFA+MxYjoOSYcCghXMVIKttPtsJHXGIIheDZM+FqqqhDpcg4NzZs8jncu3t6xZH3yhEEDgOgjpl+YIgwLYs+L4PURQRj8fhuC5vjqPresMVOhNei05qrKy+EKllkGmYZiCbRaJFUpcbGYQ3cCqZRJx6Lq7noVAoNOWvkwYhFN/3US6VQBAK8q1VmK4ap06dwvDwcA2Ntymiq2xmLBhzik2S0aRoE8plEHnveoeP2HF5j2g28TM56moD0AFEykYSRLGn8hcMzRoZtQofEYTedLlcRkBX4CkqBDk0OAhNUSAIAhaXl+uu/AVBgKaqSCWTSFN6N/vuHNfFSj4P0zRrJn9GN+3Iy2XfEVYNQywiLXLqxIn2jcwtjL5RiMCrXvFEkremaSIgBPF4nLMkAHCdmHoQUHmBXddFoVDgTVMYNS+TTiOdTkNro4EId3OrXo/R/Ug0HlsslVCmkgHV8Fn4KLr6DoKQPUUL1NoJQ3WCa9euYSWfx5133tnT/QrVq+eqYjoSeT1KRwXbpvp6RyZn/j8L19AfUue16Hak6of3R6733TWZcJucdM1LGuX+s54D1wu6rsN13bqTpR8EKJVKfOGjUU0trrVEWUmKJCHwfSzSOoZGkCQpLJJLpZBIJHgy2HIcFIrFWuMQCbN1CsYSi+YXyuUyLl282NX+biX0jQKFZ1k1YaMoA8M0TXi+D13XUaD9lGVFCWPu9cAeXEGoMAaO63JjMJjNIt6EutoIjaYQWZKQSad5GMuyLOQKBdhVkwSrYo2GpUo0qV23QG2tIASnTp3C2OgohoeHe7dfvvvaB1+o+g1COCWWi6zR1ys/KPD3oleg3iqe1Hm93hRUcyVbFJB1gwpvoc3EbydoFEZixihawEYoc65Eiy1FQUAikQjzBlWflyQJw8PDkEQRrutiiaquthoLy+vpmsYLJ7lxsCzeM4Ilj9s8yRoDLdAxsoT+5clJrmX2bkXfKCBcXflVbjfjagOAY9u8daXnebzZfaqZfDEJm5cUikUUqQ5+1BiwlU4n4JIYTSAIApLxOJKJBERa2FMql5ErFHi8mcWq2fE7KVDrBlNXryJfKOCuHnsJHG0+9DdE3qIeuvEOomhwvpquh9/5OnoL1fktXddBaAEbk4koFIuw6f+KLCPVQl9LkWUMDQ5CEgRYpomVfL7lOHjRpigilUwiEYutGgfbRi6f54ylTr7vCmPNwpSEQFNVyLSj4tl33nlXh5H67CMAxHHqitExlOkqGnSFzZvTN3iwWYNwz3X5KlLXtDBh1uWE1I5BiEKjBUCmZYUrJ99HoVQKZQJo7FakXgwrUGuVy+hy4Dh96hQmJiYwQJsQ9Xb3pO0Y/I2io9b73kRBqNGwWitEuoI2TXOVqdNjA19d2KZrGgSEdTqsNwOwurput9eGruvIZjLI5fMoFouQ6aKrEdh3GKWpKooS9kegxsC2bTi2DVXTwha37VwL9p1EWIOMkRTTdZTKZSzOz2NhYQFjY2NtnduthtveU2jlJQCAaRgoGQYUVQVEEelUqi57xaWd1Qp0VR4Qwj2DZDLZfZOcLmOjLB6azWR4SMm2LBTLZVi2HTJCIgVqbfe+7QCXr1xBoVTqSYvNeuhk0rsRktnXGxqtFA6CYN2KrqJhVfZ3qVSCHwSQKBEj1UXzpWQyGTLeBAEruRzMJklzKWIUoqt7VleToKKPASGwaSjLtu3WK/wIC4mBkUVEUQyF8wjB5YsXu+5xcrPj3ft0tAlimjU9DKIGwXUclMtleJ6HWCyGTDJZw3H3fR+FYhH5fL7GGCQSCYi0hWG1692Ovkyj+oZOIIkikvE4Mul0aNhoYdDs3BxMwwiljnspN0FBCMHp06excePGimK/nh6jg23ZhNBK3uO6QGgtI9Hss43AcwuCAMuyep67YGDFZ9H4uq7rSKZSHfX8qEY2k+EedT2qKkO0YQ5ndqHSc2BhJZGu9B3bRqlYDENdnV4X6qnLsgxd01DI5zEzM1OXMXWr4yZ4Om4cfM+D3yL2urKyAttxoKoqsplMRXiF0e1y+Twc2qJTqzIG1ehkao9ST3sB5pLHE4mwHzPVePF8H6VyOZTp6CEuXbqEsmHgznXyEoD2DCtQOWHcUE8hMhmtl3HSNC3k9ffYW2AhmUKhgHKphIDm2USE4UoWSlor2qWqVsto1wvHMePAhPYIQm+5VC43VgGod0+xPBAh0DQNsiRhbmYGKysr62Z4bxRu65xCYFkVonTVD6lNW1f6hGB0cLBiBeR5Hsq0mI11cUrU8SKi4FTJyMqmERpRT9cMmhORZRmqpnFpbYdWmEqSBE3ToKvqmhhIQRDgnXfewaZNm5BOp1uOqRu002WNbxt50G94opmi0+pmjhbXi6momrQSeK25BabE6rhuRcxdVVWomgZEBOV6AUZVnV9YgOt5WFxexujwcM33JopiyDIKgpA80WSBwHIOjuPAtG34nodSsRgqBlDPKrLjuteYkTMCQhCLxVAqlbC8vIxYLNaYhXgL4uZ4Om4AgiAAiayiqh8a5h6ziXKQJkkJwsrhHKs1IASJRALpTKYt6YRmhUA127Z/Oh3BNAwQQpCIxzE0OMhprIznbhgGVvJ5rr3UDSYnJ2EYBvbt3dvbwUcQlepuhZuGeRTBen2/QLhyZ7mFrhrxkFXtoSLt5c0WFKxWIB6PQ5akdUmat0NVZd+l5/tts4FUVUWKydGQsBdEiYaHo2imuMp0knRdRyGX4zph7xbctp5CEImFVucRQAiMcjmMlwoC0okEFFmGS1tw+r4PEAJFUULqZ4c6OsxjCIKgvoRFD0NG1TBtGx6VA2d5BEmSkIjHEY/FYNs2LJqQs+jfiixD07S2V5y+7+Odd97Bli1bkOpB3+VG6GR12qiK+4aCxsPX47tmXP4gCGBTae12vzvHdeE6TsVEpygK9yyrIUlS195eMzCq6uLSEqeqDkRkrBlxw/O8tntAA+A5NEdRQnkZ30e5XA4b/NAC0ob3FkuwBwEURUGpUIBhGCiXy+t6r19P3JZGIQgCBE1WT5ZlwfN9uI4DWVEQi8dRNoyQDUHDTKl4PHSdu3TLBUGAKEnhZBWtLF5Hg+AHQUg/pe5v9QQpCAJ0XedVqpZtc/VNJpAny3LYzKeB3j0AXLx4EbZtt8846paV1cG2N6OnAETkGDpBm9dLU1XYjhP2B3Cchuwyj2omVVcmC6IIVVE4o6nhOXRSINYhmlFVBVEMpdC7FDdUFQVyKgXTNGHTvuau5yGm66HES7NzEkVevzA3M4NYLIZ4PH5DJNl7jdvTKNDJnYvURR4y27bx2uXXoMs6YAmwPQe2aCFmxaDKKpJ6kheGrbXqVwDCeCw1DJx62mNuOUO5XEaAUIe/Ff2UxWD9IIBD48m+73MDYSBcycmKAlVVefLW8zycOXsW27Zta9iXuhfgMhK+H3o0VG3TpvHiIAhCujFtSGRbFjdsApW8CGj/Ab4d1SFin3dpnckLL7wQtryUJEiCAFGWIYli2L1NkiBLUvg/7SEs0v9ZT2FRFGE7DmRJgm3b0GOxkALcweq2GzBvwaQ5AcbVZwqjruvCo+ca+RAUWebffzvehSAIvIvZeiCZTMKjbWhXcjnOAGLGdC2hG6ZlplDFVhIEMCj9PFada6iCIITd2oqlEgzDQKlUelc05LntjELgeQgoJa16Yi/ZRfzLv/+X8AMfMmTofgwL5gpmMIsAPkoowYELWZCRUGNQJR26pEGXdUwkJvCJ/T+NPUN72htINJEcicn2utiIwXKckIlCi3DahURjyLFYbDW0QCcTZiBM0wy7cCkKLl26BNdxsGdPm9ehDgidxNlkb9PJ3rIs2LQYzzJNmJZVw64hCFlWgihCjkzUAPiEx/oIK9TbESMTuBSZ2E3TxKlTp7Bt2zaoqhomNX0/NBwRIxJ4HmzPC/+m7wd1jAyfvGiVLGhCWFHVMLlPjUVM13kCVKd/R3ttd+JZaIoCW5LguS7K5TJEGqOP7oNNbuy6dOpNMVZOJ/2dO0U2kwn7mVgWFpeWMEQ1k4BVocOunx1BgCzLSCYSsGw79BgcB57rrnoN9UCvoaZpmJ2eRjweD+ssbnFv4fYzCrQgpt7t8/VTX4cfhInVOGKwPA8mTFiwUEaJqlsGcOEib3sAivyz51bO48TCCfzNR74MSewwx4DVB2s9ENAcSYDQHfd8v6sQlSRJiFGdeZbAZP1yfd9HybZx5uxZjE9MhKEqy4Iiy6HWUFWIjCUwi8UiCsUiyqUS7ynBdHQYs4ggdPV1TYNGw1updDrsCEcnT/a61qByNZfPgwQBUqlU21Xby8vLOHXqFLZs2VLRerVTBITwjn2aqsJxnFWDZ1koGwZsy0KhUMACfc2LhBUFEqqLRs9f03WkUimkkkmk0uma8w6oN+B7HmfKEUqKEBCGXphHIEcMTjcQIu0w2+3v3A2GBgfhzs/DtG3kVlYwPDTEPZ+ASs90g6jHzoyAaZqh12CaUH2f135UfjAkOiiyjGKphFKxiFgstqZ75WbAbWUUAs8DYQ2/q1ZDrutiUBmCiPDGkokC17ewgAWUECqiEtAbv8GUumLnkHcKGNRbyzlUNE+hN1eUrtpLMNlimTImSqXSmkNUoijyNp2EEDiui/Pnz8N1XWzdujWk/lkWjHIZhmHAsiwYpolysYgyzWsAVDI8mQzrO5LJMKdBV82s4YqmaTUPfCcrUhKhK97IwjVRFOtSF1l/CwZCCDya07Ftu9JrsiyYpomV2VlcOH+ef47z8ROJsNlSPI5EPM71kEQx7O3NxOmqDfWaziuSFxEQ3s/rcR8TAAPZLJz5eTi0Gl8URRDqla1lhS4g9IqDIIAsSUgmErAdBzZt9BMEAa91qAZ7FuZmZpCgVdk9l4u5jrh1R94FSINCNRZHvHfkHrx2+VVcs6YhQUSO5GGAlrKT1n2N7xra15ZBYPsDKpOlLL9BCAkLaHrw0Do0gQZCkEwkQtns8GBr3jc/huOgUChgcnISqWQS58+eRZ6qVUZd7EQigXQ6jfENG5BKpXgbRsbeaneS6rQpfTRsc1NKXFRNooIgQFFVKLQFazWI78OhobtioYBioYASNb55WmnLE+uCgGQigWQyCVXXYRgGRkdHexvmiBoFQYCI+oVk3YIgfEYJQuOXzWSQy+WQLxS4gGOvjsc8D1brIUlSqGgAoFQuIxGP1w2vKbKMUrkM13FQLBbXRefreuG2MgqMcVQ9lTABMddx8FMP/BN85pX/jLJnwicBXISeRQACUWg+ofza/b/c+aDqJJYFQQDpAaMjICRclSMMG8myDJ8mT7udGk3TxNLSEpaWlpBbWUGhWORxfT8IQu66LGMrpaOmKJ9dEASeh4iu8suGwem5ohDKWtdL1Fagw/hxEJkgbwRaFSI2okDy/ATNUXiRXAU7J1VVMTQ8jKHhYciyDEmWIUsSHNtGuVwOQ3SlEgqFAhYXF2HaNgS6wEkkk0inUhgcHMTQ0BAGBwe7MhTVdQqsFqcXBW2EXofoM5JMJsPwjmUhXywinUr1zDOpHreqKEAyyTsjMsNQfZ0E2hY1l8tBUVUkaSOhWxG3jVEIPK9GAREAXNtGnspUxBMJJBMJfPSej+Iv3/gyXISeRUB8iELzh+WpjU/gvrH72h+Q0LwzVHX1czcwTBM+lQ5mndk6YjcRgpV8HstLS1heWsLi8jJMKgKWSCYxmM1ibHwcqVQqDB05Dp59z3saTtiM8eT7Pjwqs+F5Xhg/J6udyFCVPBaogZBEMVzpiyJYB7Z2kqJ81XyjE4BV14VVZBOan2GTv08T1M248iK9FhJNDleHgxRFQSKZxGhEyZMxZCzbhue6KFK9rrNnzsD1PIiiiGw2i8GhIQxTQ6HTBjPNUI+SKtCwzlrAO+XVuZ8GBwYwNz8Pn2qTxXvYFIrnSOj/siQhkUhUGIZ4nc6Ekizz56NQKGBoaKhnY7qeuG2MAqEhFCaDC4QrkMWlJbiUw52mCbu7hvbj2MAJXDQv01Vp64lnKDaIslNGQm2PhtnOVL+WcJLnebBp+CYRj/MbnBuaOvvyaOXo0uIilpeWsLSyAt/zIIgiBrJZbNqwAUPDwxgcHIQeobQWSyUsLCzgwQcfbGsFL0lSKKdBKZkEYZgroNRQzuLxfZ4P8IIArOa0mkLJdHBYT2dRFCGIIjcaTIpkvZhdUUQnetZy0/e8MHlOCEqSxCUZoqvraKtQfmr0XKLMKGkNFcSapsF2HEiyjHQqVWFQC4UClpeXsbS0hJlr13D+3DlAEBCPxzE8NIQh+pOq+lx0/NVj7zbpHA0XNYIky8hmszxXZdl2z1R+2XUn1DATQkJRSWoYfBpuZiQH9hkBgEdzEEBIb18P5eH1xm1jFALXrZgIA98PtVXoQzI0NMQtv+u6OLjlaby8dASBRSC2EWz5yvmv4YWpF/Fzd/8sPrjzA5ClJpe2w0m+03ASIQRFGjZSNa1StTJSHFcul7kHsLy4iHyhEIr6qSqGBgexd+9eDA0OIjswALnJivz8hQvQNA2bNm1qa3w14wW4F1C9+qquJWBCfmziAH1o/SBAo3Upa/CuUTptTXctobLfM6MJG5SpZpgmZEXhdSQEEaMefa3B9xMEQdjESBDgVsspIJw8WSyeeUSMSlvPkHUrpS5JEhRZ5nkmPbK6TtOWsNu2bQMQFnAuLy9jaXkZS4uLuDo1FU6OtLcyMxIDAwMNC/BEQUDQYRiJfZftGPB4PA49FoPj+8gVCkhFWn2uGWzhFHleBGokLUqFtmybKyJzr0KWYRsGVFVFsVi8JY2CQN5tEn91EHge/GKRM09c18XK8jIMw4AkyxgZGakoJJqdm0OxXMaMP43/7chvdny8zalN+JX7fhHPbH66/s1NSBgy6QLtTAiGacIwTYiCgEwmw2PptuNgamoKV69dw8rKCly6okkmk2FcemgIQ4ODSDbrKFcFx/Pw9b/9W+zatavr/ssEaFtjiURW1IyKyH6z1XbFa0HYJ9inrVQ7kXXOFwo4cuQIHnr44Y4lDERBAKi3QgiBQSXK2fcR9WbYNWiXUcXOrRu4tF4hIASZVkKFEfi+j1wux/NJy8vL3NARSpl9/PHHMTg0VNn7m03yzc6H/q7OHbSDcqmEmbk5QBCQSqUw1OMEr9/gOjNWmCBJkGUZMV3nz6YWi2Fs40YQQkKvusf9ztcbt4WnQByH32yu6yKfy8GyLMiyjIGBgZrKUlbk9eCmB/Hjez6Gvzjzlw33LUBAde+vqeJV/NaL/wp3D+/Hrz3wK7hnZH9kMGuzwRUhpTr78nw/1GwiBPFEAqZhYHp6GjOzs1hcXETg+0ikUtiwYQM2TExgcHBwTZW1ly9dQhAE2H7HHd2fVCcrycjfrN9yOwh8P2TcyDJf2bNj8+5t0b8B3utY13WeLAdWCw55fQn7P/J+dDHAPBxRFJte67ZDXGu4h1jBHmvZ2a5mkCRJ3DtgyOVyOHr0KHK5HDzPwwvf+x5URcHExAQmJiYwNjbGi+GahZGi7LBOIUoS0qkUCqUSDNNETNcRbyMP0vb+aW6veu3MpD+YF1o2jLAHtSDAtqxQwZVWYdeosN7kuC2MQkBDBoHnwSiXYVkW77FcfQOxsn9CCFRFwa/c/4t4dfY1XMpfrtnvkD6A3z34f+APT3wJL157ueb9E4sn8cvf/DUc3PwUfvm+X8KWVHfhlXrgiWiAh6JYUVg+n8fKygqWlpZQLBQgiCJGR0dx3333YXBwkCcVM2sU8AoIwfkLF7Bp06aOqqTrnEz723YxIbLJloVm2gWbwFVFWX9JCtAainbOTxSBNSRxNVWFb5q8T0g3cBwHx44dQ6lUgq7r2LBxIzZu3IiZmRnMTE/jypUrECUJoyMj3EBEQylsol1zoEIIJbzj8Tg810Uunw81jXpUJ8CKSuuNUlEUJEQxzDN4HkzL4vOJVS5Di8fDdremuUr0uAXwrjcKAU0wB4SgRA0CgFDAKpmsmZCYl6DQFY4GDf/6sX+BX/jmr8ALKh/ET97zCewd2ov/ePDf49jcMfze0c/i1NLpmjE8P/UiXrz2Mn50xwfwybt/tv1ahhZgqw8fwMLcHK5cuYLp2dlQFVNVsWFiAnv37sX4+Dh/SFzXDXMHPYgazs7NoVQq4eGHHlrzvtoFq3JuFwHNOwA3Tgyv3WvNCxhb73Atw4GiqhBp1bTneR1PoKVSCYcOHYLv+3jqqadw+NAhKIqCwcFBDA4O4q677kKpVMLMzAymp6dx9OhRBDSUMjE+jvHxccRpfcFawfaQTiZRLJXgOA5y+TyGe8n8aWKEZUlCPBZDqVxG4LqwhFBUMpfLYcfoKApURbVvFG4isNoE1lKTtdWMx+P1+yw7DgJCwraVFHuG9uDn7v5ZfO6tL/DXtmW24AM7foT/f9/Yffj8+///+M7l7+Kzb30O10ozFft1PBd/fe4r+IfJb+Gn7vxH+Niuj0JXundzXcfB7OwsZqanMTs3B8d1oaoqhoeGsGXLFkxMTNSdBLvRz2mECxcuYGBgAIODg2veVzvoRkGWa0o1SNpeV7Q4fttGYY0QRRGKpiGwrFCorwOjsLi4iCNHjiAWi+Gpp55CLBaD63k1ktrJZBK7du3Crl274Ng2pmdmMDU1hRMnT+Kt48eRTCZ5CHNgcHDN342AsNp5YWEBFu2RkOyVICMhTRlfsiwjFouFlfuOE1Kfy2VOyXWoFMytUuV8a4yySwS+D+K6MA0DHtXp0ai2SSNWgMM6qVUlJH/6zn+Cq8Vr+PuL/4Ch2BB++/F/VaNxJAgC3rvtPXh681P463NfxR+e/G/I20UEJODJN8Mr43PHv4Avn/0KPnn3z+EHt78fYptaSb7nYerqVVy9ehULCwsIfB8Dg4PYtXs3stksZEWBLElIp9MNq36jnebWgkKxiLnZWTz88MNr2k8n6GbEN7pwrROsp/5VNTRVhU2l0QNay9IKV69exeuvv47h4WE8+uijfJLzfR9ygwQ+oQuszZs3Y/PmzXAcBwsLC5iensbkpUs4c/YsdE3DxMQEtm3duiYDoaoq0qkU8sUicvk8dE3ryUQsAGiV1pckCSrVtTJNE2I8jpWVFSRSKS7meKt0Z3tXGwW4bsgScBxOpxNFsWlBjud58Gk+IQpJlPAvH/tN/POH/m/Q5VjT6mZFUvDjez+GH9z+fnzp1J/iz0//BTxSSUVctJbwH1/7XfzF2b/Er9z7i3hk4pGGD0M+n8fk5CSuXL4Mz3UxMjaGe+6+Gxs2bIAeiyEIAuRWVsI2gTQhGq3MjBqHikT1GnDh/HloNJa8VghoL8kqNIjtNgM3CjdQ3qLn03wPDEczemo9nDlzBqdOncLWrVtx//338++KKa5Wewpc2py9QLdXVBXjExMYn5gAggBLKythmOnaNUxeuoRMOo07tm/H5i1b2qoIrqi/Aa12tizYrovlXA6jw8NtXpHmYAqwjZ4bAYBOmxp5ngfDNHHt6lXs2x+STEzT7BuFGw0SBLDL5bD1JGh3KCp21ayBBqNGKg0ScHGlfZc0paXwa/f/Mj6y60P4g+NfxDcm/6GGqTSZn8T//Xu/iQdGH8Cv3vdL2D24OxyH5+Hq1auYvHQJy0tL0DQNO3bswLbt22vik4Zpcl2YqDGLGoKo5yAAvLCqmxW07bq4dPkydu/Z0zMtoXZWh91MhTeDEB6719q50m3JQ/TIo9A0LSxybGIUCCE4evQoLl++jH379mFvVXtVz/O49DRjcDUrrGNFXgQARJEzmvbfdRfm5+cxOTmJY2+9hRMnT2Lzpk3Ytn07BgYG2vYeBFEMq50XFuC4LgpMBqMH4AuqKiZV9Gxjuh5KtwQByqUSlubnEU+luNz8rRBCuvlH2CWcchnlQgFEEKApCi8aauYlMO171PEUugJ9OCYSY/h/Pvab+Im9H8P/efSzeG329ZpN35x/Ez//zV/CwYlncDD+NMozYdJsfHwcjz76KMbHx+tObL7vw7EsEEKaJrOqvQe2Ou+GBshpqLTQ6Xqhm6rkm7XjWiO0lVfoUYipFT3V8zwcOXIEi4uLePjhh+sWJ/Lwkyy3V2dAazRq+P+CgNGxMYyOjcGyLFy+dAmXLl3C5OXLyKbT2H7HHaH3UDWp1rsfZEVBJp1GLp9HoViErmlds6xqhk8IAlQa+IpudYKAeCyGMu1vPnX5MvbcdReA0Fu4FVp2viuNgue6KOdyCADemzaIegnVoJMj67TF5ATWhDoP7u6BXfjMez6NV2Zexe8d/Swu5C7UbPP8zAt4ES/h2eGD+IUnfx7jA2M120RhmmZ4nm3GTwUhVAplJfydrjoDQnDh4kVs3rz5uhbldCtTwYzgrZBTaBs9zD00oqeapolDhw7BNE08+eSTGK4ThiEAD80qktQz5V1d17Fn717s2b0bc8x7OHYMJ06cwObNm7Gdeg/VY4kimUzybnwsjNSThQHV3GLeQj19MlEUQ8NQLsNxXUxfvYqJTZv6RuFGori0BN/zINOGMIVi2AynxktgkyK9mQPaunG9OycdmDiAL4zcj6+e/hr+8PQfIeflKt734eO5xW/jle++ip++85/gI7s/BEWsXel4ngeHaup0IgjG3GDuykeTzy28h9nZWZRKJRzocYK51Qq52ykwoOHAmyGn0JZRu47JZoDSU227gp6ay+Vw+PBhSJKEgwcPrsbCCeG9EgLKBPMou69Rorku6MKkUbUwhyhibHwcY+PjsEwTly5fxqXJSUxeuoSBbBbbtm/H+NhYwwT9wMAA5ufnw1ae5fLa6nIi++fPTJPvSZIkxGIxmKaJxYUFpLJZJJNJuK5706un3ho+dQewDAMBrURN0EYZhJBaLyFiDBgCOimumbrY5GYhhODq1at48Xsvgrzj4xPax/HB0Q8gLteGfopuEf/1rc/ip//uZ/Hc5W+DkMqHyDQMBAhjw1IHsUp2fmxvzDgIVJoBUSNRhXPnz3PNm15ivaZBPiHfBEahHVxvf0YUxdAwIJRumJ2dxYsvvohYLIaDBw8ikUyGshqEwCeEe5hsnMy77iZW3sm56rEY9u7dix94//vx2GOPQdM0HDt6FN967jm8c/o0yuVyzWckSUI6k4GAsLbCq9Kd6gTV3yGXJ2nyrCuKAlXTAEHA7LVrIISEagM3Od5VngIhBOVcDkA4UQqiyFs7tiMBHG0U0vOxAZiensapU6eQy+cxNDSEhw8cwIYNGyCKIj5p/xy+9Paf4Cvnv1rDVJopz+LfHvkd/MWZ/4lfufeXcP/Y/XBdFw4ttOu4rL/JDS1EtiFVxiFXKGBhfh4PHzjQ2fHaGRJaeApd1ChEO67d0PBRh/fV9apXYNApPfXS5CTOnT+PifFxPPjQQzXyFPVGzybajo2C0GXrTlHEOC2AMw0DFygr7+rMDLZs2oS9+/YhEcmtJeJxlGhRW7FUwkAPW2WKgtBSs0tTVbieh1KxiEKhAFmWke5Ac+pG4F1lFEzTROC6kBAaAYsmYBvmEqrRC6NQNdESAHNzczj19ttYzuUwNjKCgwcP1vRxzWgZ/NMHfg0f2f0hfP6tL+C7V5+v2fWZlbP4X57/FB6beBQf3/HTGNNHoet6x30CeAFbiweywkAAmLx4EYqmYcOGDR0dr81BNfSwuM5Tl0lmoV6jnuuJDthHQBsMpF6HlwQBF86fx+TkJLZu3Yr77ruv7WfAdd0w+dvFM8OYcN2eTSwex66dO7FxYgIzMzO4eOkSpqamsG3bNuzds4cvBDPpNBaXllA2DCSSSahdejXV4wzCk2j6fQiU6BIEARbn5pBKpTrSnLoReNcYBUIIivl8aBBofL2pl8C+yMiXykMN3Q+i4t+FxUW8feoUlhYXMTg4iKefegojNGHnNWBqbExuxG8/8a/w40sfw3899vs4sXiiZps3Zo7i3PR5PLHhcfyT+/8xEuisclNsEh5qhICGvbZt3VpDQ70evQq6SjIzo9DrwXSLds9hnfMKUYPjeR5ef/11zMzMYM+ePdiwaVNH13qtNMtuey4wEEIgShK2bduG3bt24cLkJM6ePYtLly9jxx13YPeePWHfb1WFSdvGDndRgV/v2wioxHcrCrEsy5BcF4ZpwqQ/faNwHVAqlQDXDYtyNC1s19fMS6hz43e7Iq3G8soK3n77bczNzyObzeLxxx/H2NhY5eTU4hh3Dt2J33vP/w8vTR/CZ499DlOlKf5eAnF4gY9vXvsW/m72G/iJvT+Gf7z3J5Bos4aC5Q86mXbmZmdh2za2bNlSu7+qc+l1GK7rJPNN0nGtm0LBZoa2471FEsTRsdi2jcOHD6NYKODRRx5BLJHgUjDtTvRrNgrC2lp3RutvJFnG7l27cMf27Th37lzo/Vy8iB27dmHbtm2waLWxZdsVTaLaPFDFM8sS7e2MWqStOovFIvK5HOLxONLp9I2XXWmAd4VR8H0fpWIRCiFc17xtL6EOuoo/E4JcLofTp09jemYG6VQKjz36KCYmJrpfqQoCntz4BB6beBRfn/w7fPHkH8GwyhACARAIDJggPsGX3v4T/M35v8Un9n8cH7jjR5o3+AHCZHKLIqNqTF29inQm05YGf42RANaWwF/DhFFvPDcKneQUmiqmtrge0QmWUyarPlMqFnHo8GH4noennn4a2WwWpmmGdS+u2/ZE73remtk0oiDA7/Y7pr0aokQCWZaxb98+3LFjB86fO4fz587h4oUL2Lx5MwYGB3ntQifghosupqJeKGvf2QyKooSNdwoFJGkI6WZtwPOuMArFYhECFeVSFQUlwwi9BFluz0tgNLsudd0LxSJOvf02rl27hkQigYcfeggbN21qalw6WR1JooQf3fEBvHfze/A/j/8l/u7CN5AL8hXV0Tk7h//vG/8Zf3n2y/ile34BT216suEk1KnUhet5mL56FXv37Wtr+5rjhQfl/zOl06ixaHY9OlVGZWA5hV5VXXeLblbBzVahpN4+O5AAWVxYwJFXXqkQtQPCictynJBRRHsDtILruh0x3+piDd4CoT/1xqqpKu666y7s3LkTZ86exeTFi7g6NYXRiQnEY7GuBfPqhbvauUdjuo5coQDTMFAoFDAyMtLV8dcbt7xR8DwPRqkElXoJftRLqMfdbxYeog9Wuys6wzBw6tQpXL5yBbqu44EHHsCWLVvWjekiBRI+sP1H8MzGp/GXV76Mv538es1qf6p4Ff/y5X+Nu4f341fu+yXsH76rZj8ii1m3+RBem56G5/vYvHlzT85DiP5u4FWEbwldsY74vth+brRRoL87OQ9mFKLnz/bTbdc1AJiamsIbb7yBkZERPHLgQEV9gSzLkEQRXhDA9by2qvpdx+lJ9T9rStMp+Iq9yTOnaRruuftu7Ny5EydPnMC1q1cxOzuLvbt3444dO9p+Xtm92aj1aCujJkkSVEXB4uIiYvE4hoeHbxovNopb3igUCgWIvg9FliHLMsqMcdSulxB5vd0iIwLg0qVLOHH8OCRJwj333INt27Y17WO8VpAggEXzJBPZcfyv4/8cH9vzYfz+8T/Ay9cO12x/YvEkfvW5f4pnNj2FX7z357E5tTqhs5V5y+IhiqmpKQwPD/MV5XpAFIRV+YCoV1FnBcyF8Sh7pRFuhsK1KOqG1YDQW0KlZ7CWlpuNcPr0abzzzjs1onZRqIoC3/fhum5bk71pmj1b8TaTp26ETirW47EYHnzwQYxMTeHK1BTeOn4c165dwwMPPNBWpbHQjILaihxA30vE45hfXES5VEKhUEAmk2l53OuNW9ooEEJgW1aYS4jFQi+BNtHp2Etg76P5is4wDLz55puYn5vD1q1bsf+ee7qjuHXoLlu2DT8IwtUGjUVuy2zHf3jqd3Bs/hj+67HfxzvLZ2o+98LVF/HS9CF8aMeP4mfu+mlk9Syv2G6H9WFaFuZnZ3Hf/fe3PdZeom61asQY1NNvYkaDNdipudaRfa5lpVZxbPq3UGdMJAh4mIOvNlF5n9UYPvr56tF1E3knhODNN9/ElStXcOedd2LPnj0Nt1UUBZZtw3EcxGKxlpOtYZqI9aiBjCAIvItgu+BGpM3PsLaiiqJgdGwMkxcv4tvf+Q7u3LcPO3ftanq+zZ5XAQCaMKlYMlwURaiahtzKCorFYt8o9Bq2bYNQLXhZkmC28hJaoFl8MuodyLKMx594AmNjY+tKHeTHDgJecxGLxWrGd9/offjs9/+f+O6VF/D543+A6XJlgx8/8PFX5/4a35j8Bn5y3z/GR3Z+BBBCPahWsdCrU1MgooiNdcTQrgdaGc66k3qUaUMfxJrtqryR6Oeir7MQTk3yFvS6RcdHKns/V2zPwkAd1CzUM4idmjDPdXH4yBEsLy/j4YcewqYWIUBJkiCLInxRhOu6TduQ2rR5TM96IgsCRElq20Pi+l3ojBySTCZRLpeRTCZx4MABXL1yBSdOnsTMzExDr4EgzFE1O4oA1Ijl8fci49MVBYZh1K3Cvhlwc/jVXcK2bR46AgCHars3vJHbuHFYEjYKwzDw8ksv4egbb2Djhg34vu/7vutmEIBwtR4EAWRZbshYEAUR7936LL70Q3+IX7//V5HWam/ssmfi8ye+iI9/42fx8rWXEQR+yxDSlakpTIyN1ahTXi90S1WMhiFaTRgsnCZE/6Y/dbdHh5Nzl+fQaHHSLkzTxPMvvIB8Po8nn3yypUFgkFUVohAKRDbdv2EAQE9bTdYY2iao6RPSJkRBCCmhhMC0LOy7804888wzsCwL3/7Od3D27NnKMBYh8H0fQhvjaidUqagqXNuGaZprkt5YL9zSRsFxHIgIL7Ln+wh8HwIa9EJo4wvlqw76xRIAk5cu4bnnnkOhUMDjTzyBBx58cNULuQ5JoiCSS2jHTVclFT++52P4Hz/8p/jJvT8BVar1mBbMRXzx7f+Gf/fKf8DrM683nGiKpRJWlpfr1iZcD6ylEVA0AXmjk3nt5qpqUGf7dveQW1nB89/9LoIgwMFnnsFQBz2LVUWBgJBZ1GzRYFAdn16FjwBwb6EdcO2uLr7fRDzO+6oUy2UMDg7iPe99L7Zv24YTJ0/ixe99D8ViEYQQ7iG0Q1hop3ZBliSIkoRSsXhTaiHdskbB9324tg2REMiKwoW5FFVtHFJoBWYUEK6yXqrnHUS3XcOk1e5tbFtWKDhW1UCnFVJqEr983y/hT3/oS3j/1u9HdUrWR4Br5Wn89uF/i//te/87zuXO1+zjypUrkBQFY+PjbR+3l2Ar925wszCPgKrwVAeotzJt546bmZnB9158EfFEAgcPHkSyQ3VQURQh014LzbwF0zBCGYce8+3b9hboZN0t2y+TTkNAGAlwPQ+SJOHue+7hXsNz3/42zkS8hnaf9obeQsSrkWUZRrl8U4aQbvwT0yVsKhmtyDJEhKEjAPUnzg7c0YAQXJ2exnPPPYdSsYjHHn+80jvoYH9rBiGwHQcgpPMKTIqxxBj+xWO/ic+//7N4aOwB/npA11kSRLwxfxS/+Nyv4t+/9h8xa8yFh0ZoFDZt2nTDeP5rucq3Um/mhuhi7BcuXMCRI0cwPj6OJ598sms5BdaHxHWchtsYhhGGjnp9jWkeqBWCDink1dB1HRpdRBYKBf764OAgnn3Pe7Bt2zYcP3EC36NeQyfPfd0tI16XqigwDQMGram6mXDLJppt5iVEQkdAh7ruVZhfWMDpd96B73m4Y/t23H3PPVBYm8EoWtHPegTbdcNYJm0KvhbsHtiFTx/8Xbw6+zo+e+yzmM2Hk7+IVVf9W5e/jReufg8f3vkh/MDoD6BUKuH+Bx5otMt1x1qu8M1Uzdxt+KjTvMXxEydw4cIF7Nq1C/tpb+BuodAQkhcE8H2/bo8R07J6GzqKoFGPhCiYLM1avMF0JgN7cTFsyOM40OlzJkoS9u/fjw0bNuD1N97At7/zHdx1113YsWNHy++ReS81k33kc4oso+T7KBaLIf33JtJCuqU9BYl6CsxLkGW569BRsVDAuXPn4NEw1NLyMt45fRrzCwvc4ABYc9iID6mNbVjoSNO0nkxugiDgkYmH8YX3fw6//sCvYkDLQqq6BRzfxZ+f+Z/49UO/jhPyaWQGrqPMb/U5ruE6M2bVWmoUooV0jKVV/S20+lai++gG7Ux4vu/jyCuv4OLFi7jvvvvWbBCA8F5RaMLZaRBCMgyjd8yj2gG0vrYRGnC30FSVU2+ZtxCQVcn1wcFBvPc978H27dvx1vHjePPNN9tjRzWphwJWuzvmczlebHuz4Jb0FFzXReC6UAFIsgyXJmsaho5aTKiLCws4fPgwdF3HHTt2hPG+UglXr13D+fPnIUkShkdGMD4+jrHR0Z6yLRrB87ywqxUhfPXSK4iihO/f/v24P3s/nrvyHP77pT+D4VUmvIpeGS+QF3D2m2fwyf2fwLObD9bkJdYbNXRZEgq71RtFxQQeKfxas9gaVlf69aaCdvbMRdtQe068crnqtWb7isK2bRw6dCgMdT72WGXea41QFQWu48BxXcTq1P0YhlG3TWev0EpBlZMJ1hjeTCeTsEwTruPAMM0a9qIkSbj77ruRyWbx5htvwLIsHDhwoCntXQBARLEiZBQOmvB9SqKIcqkEy7Juqjadt6RRcByHJ5j9COtIrjd5tjAIV6em8Prrr2N4eBh79uxBsVxGPB7Hnt27QQhBoVDA7Ows5mZncezYMQS+j0w2Gzb6GBvDwNAQpG5X8U1cZMu2eVe19VD5lAQBmqTiB7f9IH543w/ij0//d3z14tfgB6FXFJAAIkTMlGfx7175D/jLc3+FX7rnF3Hv8D09HwtHJCFbIe/AvDNWf9BiN0KkMvamCB+RSjHAisrlOtvyhCSoUYtuENlPsVjEoUOHEAQBF7XrJRRZDifmOsqpASGweli4Vg/MM2v0ffcqRKgoCpKJBPLFIvKFAkYbGDrWl/yVI0fwve99D088/njT5l0i6iwk6D0siiIkSYIRySvcDPcqcIsaBTZhCBHXVlbVjmOwZ86exdsnT2ILLfsvlUoQSiVeyi4IAjKZDDKZDPbs2QPbcTA/P4/ZmRlcvnwZZ8+ehSzLGB0bw/jYGMbGxuquqBqh0Q1PggCOZYVeQgf76wTM0BBCkFaz+Kf3/So+vPND+IMTX8AL116s8QreWT6Lf/b8/4rHJh7BL9z989iW3tqTcfAVPqsPoVXINRozHT4wvVpF9gKdTF7VxqNa5oOd18LCAo4cOYJYPI5nHn8cejze+zyXIHDZi2rlVIuGNtctfESP38zTYxXra5UxIQDi1Ch4nle3CQ4bwcjICJ555hm8fOgQvvv883j8iSeaKwfX8xYoZFkGCEGJUl/7RmGNYHQ9h7IjakJHzWiAhODYsWO4cPEi9u3di3379kEQBEiSBEEQGhaUqIqCTRs3YtPGjSBBgFwuh9m5OczNzeHNN98EAGSzWYyNjWFsfByDAwPN2S8NPAXbtnnf27Vo1TcDK7kPaKhFlCRsSm7Av3j4NzEyM4w3YkdxoXyx5nOHZ17BkdlX8UPbfgA/e9fPYEhv3bCkosq3Sc4naiTXOr1V15zcDOjmoeeigPSzBMDly5dx9OjRSlG7agMa/cwajEUj5dT1KFyrh4bSF7R+gBBSNwneLghCr0cURei6DtM0UTaMGqMQvTdT6TSeeeYZHD50CC+88AIee/TRhvpPzfqWMFbfzUZLvWWNgkirDJmeuqIotWJadR5C3/Pw2muvYXp6Gg8+8AC2bdvG35MlCWikjV4tNyCKGBgYwMDAAPbt3QvbcTA3N4e52VlMXryIM2fOQFUUbiDGxsZqYpUigBp5LUJg2TbIGmio7UIURcD3w/OlD9b09DRGgxF85pn/D97MHcXnj38BU6WrVUMk+Prk3+PbV76DH9v9Mfz4nh9HQg5XjGx123WtSOQYa8HNEj5ai7fDP0Z7KxBCcPrUKbxz+jS2btuG++67r77Ri+RWoq8JgsBzMu0mwBsppxqGAQKsq0giAE5PrX62eVGdKHZNOyaoVJxNJBIwLQsWVRBotqCIxWJ4+pln8MqRI3jppZfw0EMP1VcRJrU6Vwxs/0bfKPQA9It0PQ+iINQPHdW5UWzbxuFDh5AvFPD4449jvKooS5SkkIZXRwmx7uMTWelrqootmzdjy+bNCAjBSi7HcxFTr78OIGQyjI2NYXx8vGH816E0VCactZ4QJQmC61Y8GFeoImo8HseT8Sfw6Pgj+LvJv8cfnfpjrNi5is9bvo0/Pv2n+NuLf4eP3/lT+KFtPwhZasAAawOddoNrhOj53PA6hchk1vV1QXhPHj16FJOTk9i/fz9279rVmZFh15ZU6jPxMUXer4YqyzXKqYZpQlWUtfdSaGvotR41yyN26wmymqQodE3jbMayYSCVTEYHUTMGWZbx+OOP440338Srr70GwzCwe/fuiu+ZV0LXWWiyEG6Zel03C25to0C7F9VwfOuEjkrFIl46dAi+5+GZBkk5Fqoh1dzsZisqdrNEbhpREDA0MIChgQHctW8fLMvC7Pw8Zmdnce7cOZw+fRqapmFsbAzDIyMYGx3l0hxM5VXtEQ21GdiEySZRx/MwNzeHe++9l28ji3LY4GfLe/HnZ/8Cf3n2r2D5lRS6FXsFnzn6X/Dl81/Bz+//JJ7Y8FhXY+ehI0Iaexvt7CfiJdxUnkKXcF0Xhw4dwvLSEg4cOIBNvRInjBrhaDKfXTdK61VUFZZth3Rt+r2Y60lHrTPO6vybT8fWqVw9z9M0+F7isRhc14VZbRQabC+IIh568EEk4nGcfPttGIaBe++7r2Ix0ih3yMJHtmXxheDNgFvTKPh+yDpioSM2mSPipkW+lEKhgO9973vQFAVPHTyIRIM4qMgqKQUBPi17Z/ttishqq97No+s6tm3Zgm1btsAnBCtLS5idm8Ps7CwmJychCAIGBwcxOjqKWCKBRDyO2HVo1SfSHAozCvOzsyBBwD2oKBMmrsTxibt+Fh+440fwR6f+GH9/6Rs1D9ZUcQr/+vBv4+7hu/FLd/889g111qktGk5by2QepaPeaKyVIVMulfDSyy/DMk08+dRTGBgY6OXwKsHGWDVpyrIMiaqXerT9ZtkwwuT2dUJ1y07uKXSQT6gOF9VDPB5HsViER5WJGdGjKbVZELDvzjsRi8dx7OhR2JaFA48+yg2DgPrqqSyv53keDMO4aWS0b02jQAgP8VSEjqIsFgqH8rhZ68FW+kESlVn2fB8q22cbtQ4cLSoxJUHA8PAwhoeHsf+uu1AyDMzOzGB2bg7vnDkD13WhaxomNmzA+Pg4RkdH19wDtxFEhJOWFwQICMHMzAxS6TRisRhvYlON4dgwPvXgP8NHd34Inz/5RRyZeaVmmxOLJ/Dr3/0NPLPxKfzc3T+HTcmNbY2nV0lmLnFxE6y82Ll0YxRWlpZw+MgRSLKMg88+i0Qi0fPGO+2AydG7nsd7MpfLZYysY41CDQRhtbkSQk8hIKRtCZZ2DAIQ1g/osRgM00TZNLlRaMfj27ZtGzRNwyuvvIJTJ09i/913rw6/UQiJ3he5lZW+UVgTfB+O44Q9mWnYhaAq9igIIEGAI0eOwPM8PP30020JyrGVR0WHpW5WeS2MA0M8FsO27duxdetWLK2sYGV5GaViEQuLi7h8+XIYihoe5rmIVCq1phVwNG4sSlL4sPg+CICZuTlsaVNeeVtmO37niX+Lo/NH8fsn/gDnVs7VbPPCtRfx8sxhfGD7j+Cn9v0ksnq26T4rjHsPcMPzCejeU5i+dg2vv/YastksHnn00TXJt/QCTC3A8zz4QYBSqYTt27dXspzWcwCCsFrMRkkmQGtPoVW4qB6SiQRM04RlWTX1Ga0wMTGBu/fvx4kTJ5DKZLCVKgw3CiExynSpWGz7GOuNW84oBDTeD8oOqKvzTyfkt44dw9LyMp566qm2458SDR8xWmpXN3qLcFLlpuE2tuNAQMiD3rlzJ4AwdMAor6dPncLJkyeRiMc5o2l0ZKStRB97IKoTiRJlbnhBgOXlZViW1bEi6v2j9+O/vue/4PmrL+ALJ7+I2fJcxfte4OGvL3wF/3Dlm/jJPf8IH9n5IWhyg9oLGuMmbRrURvBvovBRp+dBCMH58+dx4sQJbNq0CQ89+CBESQqZdr2uQ+gA3Cj4PvL5PAJC+Mo2Oq4KGmyPr78Q7hh+EITaQmhs+NmIuvGsVFWFIssIXBeGaSLdYbXxjh07kMvlcPTNN5FKJjE42Ji2za6XcRMlm285owAa1yQIXb1GrKOLFy/i4uQkHnjwQQx3oCUvyXIYv/T93qxYI3HaZmA01KgMcSKZxI5kEjt27IDveVhcXMTs7Cxm5+ZwcXISoiBghMlvjI8jGUmMcQNASOMHVAi16wVCMDM9DVmWMdTkBm4EURDxns3P4skNT+CrF/4Gf/rO/0DRqVz5GK6BPzj5RXz1wtfws3d+HN+/9fsgibWrPIF6eGuZTsgtGj4iQYDjx4/jwsWL2LN7N+686y7+ubXIdfQCTO45CAIs5nIAgHSdoq0KA8Fe690gIIgifKpP1ih01G6oqBkSiQTcXA6GaSKZSHR2LwkC7r//fpTLZRw5cgTPPvtsGJKtugei18q8iYzCjX9qOgWrNkadm41Oggvz83jrrbewY+dObNu6taPdi6LIKYDX4xEUEBbg+Z4HQRQbatNLsoyx8XHce999eN/73of3ve992L9/PwghOHHiBL75zW/iH/7hH3Ds2DHMzM7C97zVatgmExIzrLNzcxgbG1uTpIYqqfix3R/DH//Af8OP7/4xKHUb/Czgd9/4NH7527+K12Zfq3k/Km/RLW4mhVS2GGg1Es/zQlG7yUncf//9uGv//kpq401wLgr1FvK5HHRdb5nr4mEb+p324gxEQeACldUTNStE60XeJRaLQRRFEN8PF2ydjlOS8MgjjwCCgEOHD4dqx1XfoR85D5vWRtwMuOU8BcKMQmTyliMTWalcxiuvvIKR0VHcHUn0tAuZTpLcU+jVwxjdT9WKj1Vlt6uGKggCkskkdu7ahR27dsFz3VB+Y3YW165dwwUq4jcyOhrKb4yPN6w8lWgjlZVcLowR9wApNYVfuucX8MEdH8Afvv1HeO7Kt2u2uZifxP/jpX+BB8cewC/e/fPYmQ1DZr242px9dBN4Cu0U0VmmiUOHD6NUKuHxxx6rG8IT0Bt661ogKwoEy0KxWOw4pFI3xNTNICIsJDHCDmS5sV4ZT1EUEYvHUSqXYRhGV0V6mq7j0UcfxfdeeAFvvPkmHn744Ypn36PjlSQJhBAY5XLHDZHWA7eeUfA8kCDgLe08z+NGwfU8HDl0CKqq4sCBA10lGiVJWs0prNfqLBIz93wfruN0VMHMHzDqCUiShImJCUxMTACEoFAsYo6Gmd46fhzk2DGk0mmerB4aGuKrLFmSsLy0hCBCRe0VxhPj+M0D/zs+uusj+NyJz+Po/LGabd6YexO/PPdr+L6t78Un7vwZDGvth/oaoZtm7uuOBmMp5HI4dPgwCIBnnn4amR6L2vUSkihCEkWUymVsWMO9Er1/meHuyEAweQtRrAgV9dqbSsTjKJVKsF2344QzQzabxYMPPohXX38dmXQau/bs4Swkj85lEiV8FIvFvlHoFIQQ+DQBzKiojMJJggCvvfYaDNPEs88+21Hryigk6iL7DfSPegZqGCzLQoCwQKiVhgtPGLcopkun00in09i1ezfciBdxdWoK58+d4yJ+Y2NjGBkdxdLyMlKpFLR1Et/bPbALv/vUf8Src6/h8yf+AJP5S5XnBYJvXX4Oz199AT+6/QP4Rzt/HEk1WX9nbeBmCh81G8vC/DyOvPIKEvE4Hnv88ear0RucU2AghMCxLCSS3X8/HJFz4tXsLbxzQg0CC4uuZ8hFURRoqgrHcVAul7umjG7ctAl7CwW8feoUUqkUxsfHV4kDgnDTyV3cWkYhCPhkrakqfM8LY+cATp46hdmZGTz+xBNr0iZnrlxNVfN6QBDCHriEQFPVhlW83BjUEwZrAUVRsHHjRmzcuBEgBLl8PpTfmJvD0aNHOZsjkUxiYWEBw8PD65KgFQQBj4wfwEOjD+Jbl7+FL779R1iyliq2cX0Xf37mL/CNyW/gJ/f+JD6w7Yfr5iWaIaoqejMYhXrV9QBw+dIlHD16FKOjo3i4hTY/QyNa4/WEaZqAIPRc86g6Qd3oPFl9goDr8/0mEgk4jgOT9jzo9tnYt28fCoUCXnvtNTz9zDO8/oEXyBKCcqnUs3GvBbeUUWCVzEC4smZxxKWlJbxz+jT23303xtfYZESiOueCIMBxnHUV/HJdN6TXSVJoFFBL5atoMrLWh0AQkM1mkc1msXfvXriOg/MXL+LkiRMolct48cUXoakqRkdHMUb7RfTae5BECT+w/QdwcPNB/NW5v8b/OPNnMCMNfgiAglvEZ0/8Pr564W/wiTt/Bs9sfLo99g7lr/u+j4CQ0D2PTDa8aU7U46qi65LI6yW6cjPK5dCDpPsRqOwCIr/531XvO44TVgHTUAEEIRS1O3MG27dvx3333tte7oMuGG60t1AqlSAKAvRYbN0WTSxBzSbg6PfmuS4EsjZl1E6g6zokSYLreTAtq6EaQksIAh566CF857vfxbGjR/HQQw/xokBGf79ZGEi3rFGQRRFElmH7Pk6dOoVkKsX5/WsCIVBVFZbjwLKsdTcKAKDRVSIvviO1Yl3rAUVVQXwfsizjsccfh+04yK+sYHZuDm+88QYAYGBggCerBwYGerY602Ud/2TfP8YPbf8B/MnpP8XXJr8OP/Ar+jjMGDP496//H/jL81/Gz+/7Odw1eGfYZpNeH0JXjew1ZhTKhgFBEFBeo1gbM8h+xEPtFKZlwaOig7bj4J3TpzE7N4ddu3dj+7ZtsCwLAq0XYb+Z1ErFtWaV+jfYKBSLRcSTScg0n7dekzOjJgOhRISI0HBzzaPrZBRYwtktFmEYRvdGAWFo+p6778ahl1/G/Pw8soODUOl1BCFwXbdCWuNG4ZYyCiykA4AXbc3OzmJufh6PPvJITxKLBGHxiiQIsCkraL1g0wSzqqq8ApuhguPdIATRC8zMzmJsbAySJCGVSmHDxAT23XknLMviUuAXLlzA6XfegaqqGKfJ6tHR0Z6ouA7oA/j1+34NH9j+AXzp5JfwyvRrkCBBgMB/L+eW8Z8O/79x99B+fPCOD2Ii0TjJSQiBSBkdMiUNVIcahMjKvlo0L1oXwFhhsVgMiXi81ptAVT0Iez8SwmKTvO/7OHnyJAqFAvbfdRdGx8bClqtNrg3TxhEEIeziRccsSVJ4r9+A8FihUEA6mQyLHj2vIYV6TaDXNrowYk8Gq75n3vz18JwSVA/Jdd26DXg6wfj4OAaHh3HuwgU8PDBQo69mlst9o9AJApqcEQQhfChkGRcvXkQykQiZNz2CpmkQRHFdG2p7nhfyrWlRUKNbm4Uh+Ps9pMmaloWVXI73lIiuhnVdx9atW7F161YEtOKZ5SKuTE1BEATuRYxPTCCTybT0IqLhHd/3+Qo8IARppPGr+34V7x+/gL8699e4WKxs8ENA8NbScRxbegtPbXwCH9n5EQzGBvjEySZPxhKRqZFbCxjbRJZlrmLbKQgJO2udOH4cjuPgySefRDabXfVymMfDPCD6O3q9wvMP739erQ1akU5ZeCzsua7GghDkczls37EDQMj2I0HQU+ovuwaNcmuscFVmRabrbRToAkPXdViWFUqGr8EoCIKAvXv24OXDh7GwsFCTsL8ZahVuKaPAYm+MNjo7PY18Po/77r0Xtm2v2cKy20vTtLBWwfPguu66CNLZjgOfkHDfQq00cDVqPIcePPjzc3MAIZiYmEDZMMIkXp3mIqIoror47d8P0zAwNzeH2bk5nD13DqdOn4au6xijuYiR4WFIVIO/evJvBFEQIMoy7hzbh70je/D6whv4o3f+GFeNayAIEG1K+TfX/hbfnH0OH9v5UfzYro9Ck1dXq5zNchPUKABALpfDsWPHoKkqnn322bZYOyynEVDDQYIAPiHwaAc0FkLxgiCkN9IwJLC+xsK0LLieh4FstlI1dQ2TJD3hinuj0eKCF3shPMfgOuRZ2HMZj8VgWdaaF4pBECCeSGB4aAjnzp7FVlZcS8/B7xuFzsBDR5Qh9PapUxgaHsbAwABs2w5pnWuZDCL8dkVR4HpeuN8eGgV2A9tU1iJKnSVoXbxV0wB+DaGludlZDAwOhm0ILWu1NWeLaxiLx7Ft+3Zs274dvudhYWEhlN+Yn8ckFfHLZLNhT4nhYcQTCT5ukUprSJIEWRQh0s5eIu14Rygb6qktT+KxTY/i7y59A3/8zp8g7+QrxmD5Fv7kzJ/i65f+Dj+996fwg1vfD0mUVo1Cx1ej97h29SrefOMNpNJpPPboo203uWfhLUkUwSLnhBAQReGGIGBeVxAg8H3uRTQyFkCYh5Noi1emZdQJ8vk8CCFIp9O8Rqhro1AnRNQKzEtgemeiICCg+xApPbXnjCQ6PlVVQ6q673ddswAAFg0Z7961Cy+99BImJycxNj6+qhDcNwqdwY94CpcvX0ahUOA1CY7rwqQ6Jb2AqqowbRuW46AHjOyKeLNHV9ACKntL1+sw1Qw8tBQpBqI7avnZIAgwOzfHk/OSJPEVfbMbno3fowU9nu9D1XVs2bYNW7Ztg2WaWFpawvLyMi5dvowLFy+GXsTYGCaoRlOj/UcndALa4OeOH8F7Nz+L/3nur/BX578MO6ht8POf3/ov+MqFr+CTd/0c7sncE+7jBnoKhBCcP3cOJ06exPjYGPbu29ez2LsAgNDwqSiKqFiu0BV3M2PhOQ7PlUnMSEhSGI5pcc0KxSIkWUY8kYDvebCFxv3M66IqH9MpvKp8IrDK9IqGlYMuqNuNwIyWJElQZBm+64b01C7qNIIgCAtVgwCDQ0PYsnUrzpw5g6GhIciKUhEuvJG4pYxC9AY8ffo0Nm3ahIGBAfi+D8d14ToOPE3rzopX3ai6pqFULMIyzQYfaHO3dN/RB8FxnHDSU5SKyatbV7iipWL0803CTEtLS3Ach1cxy5IE13XhBQGi0xdTpXVdNzQGdSYBJpamyDIvzhFFMRTxW1ribUmvXLkCUQj7SYyPj2N8fByJZLLl6i6hJPCzd34cP7L9h/Cl03+Cb175FgJUrqiulKbwr1/5N3go+yB+bPvHsG9sb+sLtw4gQYC33noLFycnsXv3bmzcuLEmmd3djiNFXo3ukTaMhUdre7wgCBcBjgNGpxBFkRsIiXpzURTyeaRTKZ7sFgQh3EcLaioLh60lyMPzCZTG2QhBO9epTVSHdHVdh02Tzd3AsqywEluSoEgS9u3bh6mpKUxNTWH7HXcAuPFSJsAtZBQCGu8WEBb+mKaJO++8E0B4g6qaBsuyYJpmVwnGarlmlSabXdftKpnWrPqYyVpo65CrqAkvrQ6owkDMzc1B13VepclWX4xh4dGGKvVWLiI1AswQNJLvlmQ5lPkeGwPuvRelYpFLgZ88eRLHT5xAIpGooLyysEa96zYcG8Y/f+B/wYd3fAhfOPVFvDpXK6h3NncOv3v007h7fD9+5u6fxobEhnYuW0/geR5effVVzM3N4YEHHsDWLVuQLxTCN9doFNY0WUSNBb3nmDoAM/Qe7WToBAEcGnYSBKHCSKzkcrzzmyAI4crZ9+FWU1Mj936vpjiPetYCldrgp4Y6BoD+X+NJd4qqOUHTdQiFAhzHaSvMWj1+JmvBOtbFYzHsuOMOXL5yBRs3bQopt31PoX14nhe2tSMEZ86exfbt2yukomO6Dse24XoenEiD8W6hKkr4pZOw10EnSexmTT183+c3eDWLodcVq80MxCylorI4qeM4KJVKPNkcBVtBKrIMWVG65qYnUynspPUk0VzEzMwMzl+4AEEIpcBHR0cxOjqKRINQ4PbMNvy7x/5fOLZwDJ8/+QWcy59fPWeaTXh59jBenHsJH9j+w/jJPT+JjFYr89xLmKaJw4cOoVQu44nHH8fo2BhX8wTWVn1bT0xurRAEAbKirDbvYWFBaiCYyi7rtoYgCDWPJibgOA5fFIiuC891AdbsqoeGIAoub1Pn3mvEQmJeekWPhzVAVRTe28LpcE5gvdeV6PMjCNi9Zw8uX7mCS5cuYXA9W612gFvGKLBCr5XlZdiOg9179lS8L4pi2EbPMGAYBpR0urMHqM4No6oqbNdtm9lEAN7svBEcqgVfHToCELKQWHepHiN6LUzLwsryMrZu24Z8LhcmJkEfaOqNqarKH/z1KFCSZBnjExMYn5gAIQSFQgEz09OYm5vD8ePH4fs+UqlUhYhf9TjuG7kP/+XgZ/D81RfwxVN/hHlzDiKYwFoAj3j464tfxTevPIef2P3j+PCOD0KTes+rZ6J2AHDw6aeRpqJ266LBtF7hhYj3x47Dcl+e72NlZQXE9xGPx2GaJu9nwPITMV1f1zxOlIpaD40kYth7AROe6yTfUOda65oGwzRhdcB2dF2XV9lrkYWgSL2tDRs3YmZmpu8pdAqmEbS8vIxMOl23kxrjEgdB0BFFtdFjpqkqyoYRWvkWYljttvxzWMHaDWiv6HkebNfF1ampUL8mHodHGRuKLCORSIAQgng8vj5FSQ0gCAJSqRSSu3eHIn6Ogxmq8nrt2jWcP38+FPEbHeXhKCYFzhr8PLHhcXzt4t/i7975Bizfqsg5lL0yvnjqD/G3F/8WP3Pnx/Heze+BKPRmApufm8ORV15BMpHA448/Dj1yX7IR9FStlYVG1rtwLWIkNAAz09MgAIaGh8MJjoZCXNeF63lh5S/tsdBr40CCIOxvQkjdUCWrVWn2/PH3WUiojZqaenvTdR2GacJpk5pKCKlooBUNObE5Y2hwEFNXrqBYKPTrFDoBS3AuLS5iYiNtBF/15QqgX5phwLJtqJrW3gPZ4GZin7erqH2VH22cO6iGT3ndAlCxYoiCq0X2ACw557gu57cDIXde03Wkkklo1CMQKZ+dcdEZBe+6TEBVkCMifsyLmJ2dxezsLI4dO8ZpkSxZPTA4CE3S8LFdH8WjmUfxjSvfxFeufhU+Kldd89YCfvfNT+Ovzv81fuGuT+LBsQfWNM7JyUkcO3YMY2NjePjhh2upy+wB7+H1EwDeivJ6gN3Xi0tLyGQyfDEW0NyDQ1lobJI0LQsSzTUpsrympk0MLNwqVuUTouikkI3Q7Zs9s408dhbyddukpjo0JwmgJocoILyOmWwWoihiYX4ee/bta+sc1hO3jFEgvg/LMGCYJsZGRsIX6zxsqqbBsW14vg/DMNZEUWVNbxzHqcuw6JRex1lHsrxurjaLAzM2VkVREMKbulQuY2RkpIZWx25wz/Mq5B4q5I3XyUjUxM2pwRcEAZlMBplMBnv27IHjOJhfWMDszAwuX76Ms2fPQlEULuKn6zo+uvPD+OF9P4g/Ov1H+M7V52uOdbFwEb95+F/gwZEH8fP7fw47Mnd0PNZTb7+NM2fP4o7t23FvA1G7dZPw7pC63CnYCjYai19aXAyVdilEUYROnw9RkhDQ58On+Qjf82CBUjkVZU0Ggi0Im07AHdyb/J5uch2FBp6CJElQFQW268KybSSbjMn3fV6PxBtoRY7H5g8BQCabxdz8fN9T6BTLtDfs8PBww21EhMVVpWIxlLwVxeaidk0eLkkUIcsyXM+DZdtcDKsezbQdOFGtoybohk7n05CZbdt1DQFvRk5CqYLNmzbV7IM9dD5lojBXt1obqNpIVG/TCwgNwgGqqmLTxo3YRL2IXC4XMppmZ7mIXyqVwqaNG/EL238eH77jQ/iDU3+ItxbfqtnXGwtv4M3vvonv2/xe/My+j2M0PtJyXIHv4/U33sDVq1dx9/792LlrV9NYNtCDa1N1HXpSxRvxsquNADsGg2EYME0TQ3V6ncu0alogBMlkEgFlI7nUMLCqdgthHkmjye1OrglrjduI5QaAexIdXRc68UuCUFNE12wvuq7DobnGRovOIAhgmCZAQrVXpV7YC6v3yMjQEM6ePRsm7W8wbhmjQAjByvIyBgcHVxkTDSDLMuLxOMqGAdOyuDR13f22OC4rYrOpUWgnmVwP0dBRy3xCBytBl96cLIENrFZkM0MQfQBzuRwC3+fUwigYy4iFnRoZr3qTRz1DUb1tI9SblNoB018aGBjAvr17UTYMXLlyBcvLy7h48SLeoSJ+Pzb6ETyz4yl8Ze5vcKV0pfLYIPjW1HN44dr38OEdH8I/2v3jSCj1H3THtnHk8GHkcjk8cuAANtYxrJX7Xh1nL9Hp3nilPFktHqtetTYb4/LyMgiAwTpGgWlOEYQGU5QkaJIEjTa+YjkHVh9heB5Ey4KiadDayD+wfAIIaamM2o2xZIzG6s8224+maUATaiohJEzG01V/LBZruXAYHhnB6XfewezsLO66556OzqHXuGWMgu/7WF5exo5W8tj0Zlc1DX4QhCJW5TKfKBtt3wiqqkLCauEJa/DRKVxWRUo1aZqeApobK0JpspZtV7AVFFmGpmlQm6zElhcXIYgisg3aPsqyzKmJnQh/NVplMjc9uiqq3gZdGIR6UBUF4+Pj2LBhA1LJJFZWVriIn3PVxg/g+3E1MY2X3EMoeJWyGU7g4M/P/QX+/tI38FN7/zF+eNsPV7xfLpXw8qFDcB0HTz31FAbqTJDV6JWnUDNB1dkfn/gj21eEgCo+3tl4FpeWkEgk6i6sWI9hVhinRu5tQRShahpUaiBs14VLPVnbsmBbFl+8NAoNeZ4HEYAgSS3rAtZylRstaupBVdWm1FTTsnhntXg8zvOapM7cwY6VSaehaRqmr11bw1n0BreMUVhcXITneRgdae3iM8RisfBmpO30kqlU7WqjxQ2gqSoEUQwn4CDomkliu24YOmqH1dPgGB4LEVnW6ioUYR5F17S2NOaXV1YwMDDQ8AGTZRmgOZleoJFXwccfXb2CTm40l9Dpqo/FY5lq6tDQEIaGhnDXXXfBpFLgm2dnsWVuE94I3sRb4nE4qHTXC24B//XE7+PF6Zfxz/f8MwBAPpfDyRMnoGoaDh482HYryl4ahSgBobpCmBmE6qvVKw9lcXGxachWliS4aE6nFGgOQlNVeK4L23W54KTruqGHoShQKMGBgYWOlDbu7W7vmyj4vdmCocSoqdUsR8u2ef+MeCxWU2hX73hs7KMjI7g2Pd312HuFW8YoTE9PQ5SkumGPKKofjlg8joCEDSxKpRJSqVRHonkKpZERz4Npml012QhI2DGKoJaB0AhR9oPjurAtC05EYkKiD1nbDCuKxcVFbGoS9ogmm9crqVzTPIY+gNFJj1N8WcIbtSvmRmOrdz1iuo5tW7di29at8IMATy8/jXPXzuOrU1/FMfc4AqEywXdi6SRO5E4AAI4ePYrBwUE89thjHYm/RbWcWmwY/opsy68FDVVWrzKDyHezntwwx3GQLxSw447GyXgmedHOQkIQBCiqCkVVw5U2DX0Gvg/T90PWoKryQrFW9QnV6IWctgAAVKCx0T2mUWpqVDXVcRw41BOK6XrFmAVRXGWjReBHFjIjo6N46/hxGIbBKdc3AreOUbh2DVtHRzvukSoIAm+S4QdB6DHQJiGtVhRsxRCLxeB4HsrlcldGwWUFa22EjvixgwAmleqNyumqsgxN17uqczBME6ZpYnBwsOE2EnXTCU0QdqsGuSYIkf5rkQmzGhWhPDoZMEPCv9tIeJCtIkVBwNDwMIaGhvDoPY/gwuIFfP7kF3A0f6xi/1fOX0EKaQwPD+Pxxx+v+O6iMgps1R6dPgiw2huBGrwKRkvUEETDbdWXQhQhVE22AtbXEESxvLwMIQjqJpkZZFkOr3+H/RUkSUIsHofO6K0stERzeCItjpM6KaDsgVfGvstmiWutippKsBpi1hSlLWXl6P0rCAJGR0dBCMHk5CTuuuuuNZ3HWnBLGAVCCPKFAlI7drS3cq1OookikskkiqUSPM+DUS43lFDgx0RoxQVa5FUulWCYJpfp7QTVkr9Nj0tIqOFE45JAeINqug5N0yCvgcq6vLwMQkhTowCEDznTyr8eRqFbd7/iW6AhFaA2X0FfDCdcdm9EJuUdwzvwH575HZxaOoX/fvbPcCl/GbuCHUgXU/CDALPz83jppZf+r/b+NMauND0PBJ/v7OfusUcwFjK4JZdMLsncMysXSXaNu9GSS5bV6JFhCCNYxrQgw5Ys27CB8diGNWjZaBmGejQCBLfcbmMasFUtqwTJmipVZVZlkblwyeSSZHJnBJOMPeLuZz/z41vi3Bt3jxvc8jwAQTLi3rOf792e93lpd/XEBHUq+H2ooxhuOS++n/pO2k69/GbXhkmw7DRWV1eh6nrLlBkhVObblyR4QQC1W8dNkmgtTNNozwPT3rIcBw7rewgSiY4cwu0aSynCRGrkWHBEqakVNls5DKlYX8PGzwb3imcCZFasN9k7vry8vM2z2B6eCqMAoKtipASgPlCTZBnJZJJSVV0XUrXalKoaojY8N3Qdkiwj9P2eUkge68ZuJ0lt2zaqllXzsBiGQesafUjjrLKCYbtOb0VRxIv5OFHvfTf7HX/d+GS+6M82v9B8AeXG4sjwUfw/s/8PfPLJJ1haWsL+Iwdw+coVHDhwAIVCAVevXsXlK1eQNE2Mssa5kZGRpl4sT/1EqZ8EQBiJhOrTnfUpu2ZH3Y6M0C+srq5icHCw7WKrKApc1qPQifPTCISRQVRVReD7WM/nRSRVqlQEkaJd7YzP5ugFja4pafJM6YYB27bpiNJMRvRuNN7w1i1z4xONQPmsmMeJp8IohPXeeZsiUDMoTMqhVC6jalkAs85RBGiQu2a6Sr2kkIIwFB2ZzYyC4ziosslnfH8J04SmaX3VQeIveDuokbrCo0DN1Y5GeNHfNbjnjTxzEllwu4VVreL06dMoVyp48803oSgKLl+5gqmpKeRyOfi+j5WVFSEFfufOHUiEiviNcSnwSAQqXvr6Rb6uSFyPLbWcJimqnYbv+1hdXcXhDrpsZVmGhP5p93BWUyKRgKqq8CL9D5qqUketSeTQ6zVqthhHqcXRz2iqCsu26aCfIEC6iQx8szkp/N1uGNk+Rjw1RqGGybGNC6dqGhJhiHKphGq1Ct/zNieDhc0VHhOJBCo9pJB46oiwEYn1v6tUKpuLLyEwTVN0ivbz8fB8HxsbG5ianm772Wjh0Pe8lk1DvaAmHw8gZLOqW6KTfgf+0R5SbPmIqN07b7+NTDaL9bW1ms/IsrwpBX7sGIqlEpYWF7GwsIDLly7h4sWLVAp8fBzjY2NQmNJuL4y1KK20ZrFixlGSpB0XT8vn8/CDAEMtmEccfESu3yeCguu6wpFKJZOCXi669V0XOmvK7LbO2AydUMG5YfAYc4r/XHQsdwHhNDToc3iceGqMAoDNhaGHukIUuq7TBpNKBY7rwi8WkUgmWz5cvaaQOCMjGlL7noeKZYneBb590zRrh+6w8+jHQ7KxsUFf8A4iBe6l8Ye/V6MQpZmCEJCQDaoPw1oj3OR+dksv7JjtU4eFhQV8+sknSKVSeP2NNzoTUiRUxC+dTmMfkwJfWl7G4sICHjx4gFu3bkGWZeQGBjA1OYmJsTGYvUiu1J1/yK5VUO/A7ABTbHV1FXKLnpYoaprYmCLpduAyZ4oTKmRJQjKRgOf7sCyL/u04cBxHEC+2Tf3twOHktbZKtSpqCCohPRlonuKSI8fdCQFmp/FUGAUAQsSqU7Sz+rquQ5ZllMtleK6LYrGIZCLRtFu61xSS53minhCy1vcojU3TNCRMszkraZuREccae8Ezmc7mCqiKIgbtdKqXWq+XE+1HiEZhOxUu99IXcOf2bXz2+ecYHx/Hyy+/3HNhXVYUTExMYGJiAghDbOTzmJubw+rqKi5+/jk+B5BJp0WaaWhwsKOIJmiy2G/5WbPIchvGYmV1FblcrqP3jg/k4dpH2zEKYRBQ+nUYbmHxKLKMVDIJ13VhWRb8METVsuDYtihW99Kv0MlnOQnEsW2EhIgopmpZYt5DPVplNsQ+o8qpO0AB7xZPhVEI672iPmwPYSgesFK5DN/zUCqVkEgkmjaYdZtCCkGNQhCGcJh3wR8QRVWRMM22ixBhbIjtekGrTCKk01Bb9Cu08ICikUCvUhWt0G2qcEtE2frDuHz5Mm7cuIG9e/fi2LFj/RMpJASpVAozMzPYs2cPTNPE8tISFthI0hs3bkCRZYyNjoqCdaPohKAPDWj1xqKOMtrsnnERvJnduzvelSzLINh+XcFxXUigBdhmPUWqqlJCBOvh8cMQFcsSHcZSlwXbTlJHlWqVNqaFoYjsPc8DWOTSLaLNljXHEUcK7dGLB9iWnUGIeEHS6TTK5TIcx0GlXIbv+5SZVLe/aArJsqyGMx2i8H0fnuOgUq2KFzxaPOv4XLZJP+zlBedGIagTxxPbDIItxqrvjW5dnjN/TtoZa9/zcO7cOXz11Vd44dgx7N+3b9v89mbHwhk1uyYnsWtyUkQRi0zE77MLFxACyGazYizp4OAgdQZabJ8vHl1fc0lqvfixbZfLZdi23bI/oR7dNLG1gsu87naNgoQQWldQVdiOA9u24QUBSpUKNMZi6vT6tEodBay/yQ8ChEEAM5GApqrwfb89KaNZkblJnbQvYofbxDNrFNgXWoZu0d8kk0nIsgyrWqWeRxAgmUjU5vjrUkjtjEKpVEKxXKYvC8uJ9jK8ZrsPSrlSgWVZDQXNmoGL49lM1KyREeuHEejEcHfq+XdyXI5t48xHH1FRu1dfpQv1TqDZM0sIcrkccrkclQK3bSwuLWFpcRF3797Fl0wKfGxsDGOjoxgZHW36zPTFCNdFEoQVsldWVhCEYUc1KI6oym4vc80B6oR009cD0OtgMM0v27bptERmJBKJRNtUVqt3y/M8lCsV8ZlUKiW2RwgR9bamhrAJe5B/nhACmbAu7B2cXNcNngqjAKCWktghJbVVtNBI2M4wDFpnKJXgOg5Kvo9kKlWT7+cppHKlgqEmKSSfzbMtlUpiuwPZbM/pie2mkNaZymVHL3i4qf0iyTIkxrLoJrLpBm2NXaeeXgdGoVQq4czp03CYqF0n9NxeEXToyGi6junpaUxPTyMMmRQ4o7yenZtDGIYYGBgQtYiBXK7vUU0UPKe9sLCAwYEB4a13ktYQ4niMht1tExtAowSCzc76biAxmXxFUVCtVuGy99CI1BoaHjcarxO2bdNJjgAUSYIZEbfjUJgKMSdldFqT4im2ms+zdS2OFDqAEABjsgHdLI5bmoFCOq+12RZUVUU6k0GpVILn+ygWizTdw16Odikk23GEZ+H7PgzDQG4bBoGja634CFbX1pBKpZqqnjaTDNY0DbbjwHFd7JgSS7uFBp01adVcmwbPx+rKCs589BH0LkXtekWnqawoaqTADx9GtVrFIqO83rp5E9euXoWm67SzemwMwyMjbWXkezr2IMDS4iL27tu3+TP2R2KpzGZqwQojKPi+35MjwSXgt+OEqKpKnTvGLrRsG57nwTTNhoamPnUkCsqsfqCqKp1B3eBeSswQ8ginRu+oRaZCDA6S5RpxS5+NNn2ceCqMgizLSOVy2NjY6IpuWF+oqxFZa7EYybKMTCZDC9Cui3KpBF3XYTDKaKMUUhCGqJTLYnSnRGhjnCTLPXd41p5M7yyk1dXVLbnhms7fJttVFYU+qMzAbZdm2AjtGrI6TZ218szv37+Ps2fPUq2jV1/tStSuV3RV9G4CwzAwMzODmZkZhCGdT87Hks7PzcEPAgwMDIixpNlsti9RxNraGhzPw/j4eM3Po/ei/r3i/+N1hZ4omkxvq5vUUTNIkiSYQZzCWiqVYBhGjXNU/2x5noeqZdFaWkiF7dpJyCuyTIcKdXjOQRBs0lEj51mtVmG7Lnbt2tXpae4InhqjsGvXLjx4+BA+gK6WpkaLaQeLDCEE6VSKDum2LFi2DcfzYBoGHeATSSH57IHjC5PJ0lDFIIBMSF9YLQTN6YmtEIYh8vk8pqamtkgvdwJFURCwZqF+G4V65c+G6NQYNjIKYYgvv/wSX3zxBaanp/Hiiy/2ZWZwJwgbMEu6+j6LjPkiTwiplQKvVvFgYQELDx7g+vXr+OKLL6AbBsZGRzE+Po7R0dGejd/CwgJ0TUOujSIxh6CAAiDs+gY9GAVnG6mjJgcmZjVUmGJA1bLgeR5lKPHeCuYsiuiAaZ4lE4mO0kGKooDYtkh9RWnYjcCNR31j4/LyMhRFwZ49e7Z33tvEU2EUJEnC5OQk5m7exPrqaktt93oIyiR6o3olTBO6qlI6GosOFOYNBUGA9fV18eLKzDtRFAVlJpLVN0E5QnpKIZUrFbieh2Qq1ZNkhqqqoou0o6aubtBJXajD863vgQiCAJ999hnu3b2LQ4cOUamGR8gBj6YEegEhpCVn3TRNzO7Zg90zMwiYHAUfSzo3N0eNyPCwMBKZTKbj819YWMDY+HjXaVqA5t5BiGDqdOMQuWyGeS8KwI3Aj16SJCSTSVqEdhw6CY5F+TLT+bJsWzDqNFWFbhgdp/4URaH086ghbJU6alRPALC0tITJqanHKpsNPCVGAQDGx8dhOQ6Wlpa6MgpAndfVg2GQFQXpdBq2ZaFarYrJZOVSCb7vY3BwEIam1RSiPCbO1k+VUcIkrTtBCLqgFvJ5AEC6xxy6pqpUimMbjJKmx9jJvejwnkXTGp7r4uOPP8by8jJePHUKu7ug4vYLPD2wE/MoOPi2JVnGCGMqvfDCC6iUy2Li3LVr13DlyhWYponx8XGMjY1hdHS0aZd6tVLBRj6PAwcO9HZMkgSZCdIFYQilw/Sf7/vUkPT7nWH7J4TAMAyo7HkOwhCFYpF2X7PGUlmWkWJRfjfg1FefS9q0uefRegKw6UCsrq/jG8ePd3uKfcdTYxRUVUV2aAhLS0s4cuRIV9+NDmvppJW9GXTDgKppKJfLCIIAvutiw3EwOjJSI4TGm9aAPkYKkW23W2bCMETAPlcslaBIUs/ehyRJtJAWhlSMrI/5+Jr5Ak0gUl3tGgXZImxZFj7+6CNUqlW8+eabGBkd7dPRdgdhpB5D0TCRTGLvvn3Yu28ffM/DyuoqFlkt4s6dOyCEYHhkBBPMSKRSKXF9FxcXQQCq79QjJFkG2CLPl1ceWTdbMLmOkMr0ovqF+poU7xPKF4uoVqsIggCKoiCbybRkKLWCLMtAGMJnJBaelmoEbvjE98De02IRrutidna2+5PsM54ao6AoCiYnJ/Hg7l36sHXx4PSzIYSzl7LZLKxqFZLvY219nfYhmCal5LEW/SiPuV+QIhPZosdUT2Xjj2SxWESyQ2mLZoiqVPbTKHRyRwghHaU9QtBzvXjxImRJwrvvvIP0Ns97O+i5t2ZzA20/0kkDm6woQsTv2PHjKBWLgtF0iYn4JZJJjI+NYXx8HA8ePsTg4OC2ivGSJNV2NpPNWRaCXl33nahR6Cfq9+M4DizLgkSoTAVnSfk9pFY5eA2EM5BUTduscdV9lsth8II8x/LKClRdfyxRbT2eGqPAi803r1zB6upqR7OaQ2yyUjZ/2Ltx8D0PpXIZXBVxanoaS0tLKFcqSKVScB0HiURC1DD6wjpqhTBE2MbgFQsFZLZJv+QSwfzFfdSIDj5phqXFRVy4cAGpVApvvvVW/+sfXSDardrrTO9On9JujU4qnUYqIuK3vLyMhcVFPHz4ELdv30YYhkgmk7hz+zbGxsaQ6EHEj8td1M80EMVosilvHrKeBv7ZnXhn+P2oVqtwfV80ROayWQRhCKtapdMRwxAJ0+zJkCuMlup6nhDcbERJbVZPWFlZwe49e/rqdPWKp8ooDA4OwgMtyHRiFABsGZnYK1zXRblcpsfChLAAoFQsAoTAdV1omoZKpQKLjRKsn9XQD0TlDwJsdqA2Q6FYxGyH16oZFEZN7fc0tn5Fb7dv38bnn3+OoeFhvHjy5GM1CABqF4JejUKH12Y7UbCsKBifmMD4xARw/Dju3buHs+fOQVFVfH7xIsIgQDqdxujYGCbGxzE8PNxROkxixeZWg27EERMiUq0qawTrNxzHofNTQJ9hwzBgaJo4BokQIWFfZvORuzXmiqLA9jxRSwSwxTDw3iUANYOCQlAa8IuvvLK9E+0TniqjQAjB4MgIFpeW8HybGaYhUJvDJKRpy3k7OK6LCjMIqqLUND4lUynRrJNKpWivguMIXRRZlvubcok+cO2Om826zaTT296vqqqirvCo5zY3bQIKQ1y6fBk3b9zA9MwM9u7d+3hmStch2jOxrfTRI2RLgRAUCgUYhoF3331XSIEvLCzgq/v3cevmTZqKGh3FKGueM5vUqXhql0/Ca3UNwjCks5mBpkKUvSCIzH0WpA82fZFHnvy4+PCtcqUC3/dRKZeplH4X119RVRA2n6XVMfHrEa2b5PN5eEHwRNQTgKfMKADArl27cPfaNTiu25a6Vi/W1os/Zds2qtUqALow1s92TmcyKLAiUeD7yGazqFQqqLJCW7FYhCLLtGmmh0EcADbTRL6/yQnvwDssFosIAaT7ZBQcx4Hrun2LgDopmjeD73k4e/YsHjx4gBeOHcP4+Dg8z9tRtk+n2HY9gX65w4/1r162sLCAsbExEEKgqCp27dqFXbt2IWQsNk55/eyzz4AwRDabpfWKOilwIkl0CFAQIPD9lnU113EQhiFkQqW3t9OkCdBCrmPbcByHRtRsETZNs+V6IcsykokENQxBgHKpRA1Ih7VLnvaqr01EZ3x4TeoJC4uLMAwDU1NTnZ/oDuKpMgqEEOzZswc3r1zBjS+/xNHnn2/42S1RAockdRUtWKwbEqBeTCMBPJlxoAvFIvL5PEZGRoQBME0TNu+mLJchWZYYzt3xghGh0/LvEHQm/1AoFkGAvkg6qIoiQv2+UVN79IZty8JHH32EjXwer732GiZ27aJpPPSew+8nGo5ZfMJRLpVQLBZxuAGzjxCCbC6HLBPxcxk1fGFxEffu3cP169ehMBG/cVbU5sXmIMJAagSbDZoSUUK0E7wL4+D5PjUGTCYjDEMokgTNNCFH+ntaGVCZSemXy2UEYYgSm5vSCUWVf8bzvC2qwjzS9Rqkjjzfx61bt3ByG7M8+o0n4yg6hCzLME0TR55/Htdv3MDe/fsbeq3NQtZOKJAcVcuCzQyCYRgt89SZdFqM9+S5S0WWkTBNmIZBjYtt087nSgWVapXqsRtGy8VVjKlsdC4NWEj1KLKJct0wtZqBq6aGfaKm9jp7oVQs4vTp0/A8D29/4xsYYKJ29c1rjxPNxizuBPp1tgsLCyCEdFSrUzUNk1NTmJyaAhfxW1xYwMLiIs6dOweASoFnBgaokRgdbfic8+gaALT6BTESbbVTMeUNaVyTSZFl6LouvPcQtV3ErWodkiQhydLAfhCgXKl0ZBh4rwJnJ0bvfcBo1Y1E8G7evAnXcfBTP/VTLbf/KPHUGQXP8/DCsWNYvn8fV69exYsnT9Z8hnsJDRcHQiChASOpDnbEIJim2VbuWlVVGKYJz/eRz+drhorz0NU0DFiMDuf7PtVkqVahG4bQSKInEJnJ22KB62QxKBaLfUkdcaiqKmbTPmqWBAGl7X105gx0lveOMmP6oTXUL2w3fdSfZFB3WFhYwNDQUNcCe1ERv0OHD8O2bSwtLuLBgwd4cP8+7ty+DU1RMMZ6IsbGxkRU4LAJhJqqNnWOOHNIULHZNXWZPDZPyXDhuoSm1Xji9dvqJPqQCEEimaTSGL5P2YWdppIabJ8A8CLRI9+O7Ti4fv06Dhw82NHI00eFp84oAICsqjh0+DAuXbqEAwcO1HTrtu0obBOW+kwQC+jMIHBk02lYloVSsQhFUbZ+j1DNd0PT4Liu0GCxbBu2ZUHTdeiGQWUCOkQ7r6dQKGCij+JaqqKgyphW/Z6y1g7379/Hp1zU7rXXtvDZH7fccBTbblzrhhDRh3vAqamHDx/e9rZ0Xcf0zAzGJyZQKpWQLxRQYEOF5ufnAQCDg4MYHRlBKpNBKplsW2AW+kQAPKZ6yoXzwiCg746mNY2IhdxFB9RmDolQ7SM+XKfC5rK3kt8GWOq6we89RueORglfXr+OIAxx4sSJjo7pUeGpNAq+72Pv3r24eeMGrly5gtdefVV8JmzRNcnRLB8fMP11gHrF3QzE0Q1DhKulcrm5rAShIl2apsFjxsFh09ksy4KmqqIdvyM0ycv7nodKudzXSIFTU7lq6qPIgYZhiC+vX8fly5cxMz2Nky++2Nhja9Is9Dggxiz2uGD3Y/xqN1hZWYHv+1tUUbcDXgNMp9OYmprCkaNHYTEp8MXFRdy8fRue59EoYmJCDBVq9Nzzmc2ObVP5DPZzXVWh6XpnM6TRfQRGCEEikaBqyUwq32w2WIvX/BqwHHnKFaxhDgAq1Spu3bqF5557DtknKEoAnlajwPRRjhw5grPnzmHtwAEMDg52pDsCoGm0wOcgyIy61i0y6TQK+TzKpRJIBy+YoqpIMf15Pnzcdl06o1aWxUPfLBwmYLWFBudSZKqt/TQKwCY11XHd7RmFDjy2IAhw4cIF3Lt3D0ePHMHBgwebesZPUk1hu41rj/ocHi4sIJFMItXHZ0XQccMQge9DkmUYponde/ZgZmYGG/k8NvJ5FDY2sLy8jLl79wAAw0NDGBsfx+jYGJKmScXrPE9It0gADE3rXg6jC92w2q/RfqNKtQrHdSEryhYWU1SSv9Gd48cvcYYVgC+uXoWqqjhw4AD0x91XU4en0yj4PqBpmJmexo0bN3D5yhV84xvf6Hg7jbyGqmXBZ5TGXro4Aao5I7FuznKl0jrSYEUxwryHdCoF3zRF5MB7H6qWBVlR6CzaBiGyBMBr4FkWGRun30ZBi1BT0WYcaSu0Mwmu6+LjTz7ByvIyXnrpJczMzDSXIojKezwJRoEf5yMqNG8nlRcGAR48eIBdExN9vXYid06oYmpUstxxHEiEYHhwEHtmZgBQIb7FxUU8ePiQivhdvQpNVTE0NITBwUEMDw0hkUhsrWXxY27jZGzn3FRVhe77sB0HVrUKmemBcUiyjDAIIBECD1vTR05UwoMQ5ItF3Lt3D8eOHYPMiuJPEp4qo8A9Uz7DlUgSjhw9ijNnzmBpcbFz8TNm0blH57juZmE5kdgWW8c0DFi2jVKphMFGevQRBlT9g8opcWEiAcdxxB/PdeF5HiqVClRFgcbm0fKXTmrQg1EsFqGzz/UTmqaBVCrwggCe7zeNYtqiRW2nUqng9OnTsCwLb731VltV3E5GcT5KBNuMFLrFdvayurqKarW6Ixx5WZZBPI8yjNhzGLIoE4BY4H3fB5EkDA0NYWBwEL7vY2NjA6tra1hdXcVX9+9TEb/hYTFQKMXTsx1QWHntYTvQdR0+6+ivVCp0TC+/v7yIDPb8Rfbls8FBAGMoAbh8+TISiQT2zs6CsG0/SXiqjIIsy2Lcn+t5UAnBxPg4hoaGcPnSJbz73nsdF/d4tOAHAaps9oFuGNtaRIMggJlIoMjpbOXyljQUVy9teWyEQNd16LpOOzMdhzItWGrJ9TyUQb12LUK9i6JUKu2YIJyqqggcB45tQ+lV+73JC7y+vo4zZ85AkmW8/fbbdA4AQ7O8cM3PHrNR2K7uUU8FczYisxfMz8/DNE1B7e0nor0KHB4zEnz6WKlYpMycyOKus0YuPmymXKlgYWEBS4uLuPLFF7h06RISiQTtixgfx8jIiKhhNLp+2+osj2zDNE0xTMuqVqnycHSfhGyZ/yGiBEWBJElYYdPzXjp1CjKjeOvbiLh3Ak+VUQBoz0CpVILjulCZ1O0LL7yA93/wA8zNzWF3p1OLmGdRYQJ3sqJsu1OX85OTySQ810W+UNg0CpF0UTeQJEn0Sfi+T6Ma24bvebBdF7br0jmxLNfJ+dL5fB4DHU7O6ha6ptEUUouW/nZotIQ9fPgQn3z6KTLpNN54440tHlRTzvoTxDzaru5RL0ahlyIqQGUovvrqK+zevXtHIiw5kj4CqLdeKpWoSimTl+b6XYqqQlPVhnWqZCKBfXv3Yt/evfB9H8srK3ReBJcClySMjoyI7upUvSO2zSiBI8pIcj0Ptm3DMIwtA5X4/4MwFCKSmqYhDENcunQJmUwGU9PT4nOPXaurDk+dUdB1HaVSCbbrIslErQYHBzE1NYULn32GbC7XMeeXa53w0XvbBdd6SadSyBcKsFlHtKHrnRfBW0CWZZiyDNMwqFFg6SXf94XnTiQJqqKgWChghuVr+w0xVKTBsPKOUbf43bp9Gxc//xwTu3bh5Zdeatws1CRFEJUSeNzYlu4R59E/omhnaWkJtuPsmLwCryPYtg0CysuvlMsIACTYOEyDjcvs9FrJskxlvsfGgOPHUSqV6NzqxUUhBZ5MpTA+NobRsTGMjow0JWP0AplJ1vDZzzx7IcAVCLApB85rEBcvXcLaygre/MY3RBFe1bRH0uTYDZ46o8AHYfhBIIbJh0GAkydPolgs4szp03jvJ36irfV1XRceG/+X7kLjpBV89uBxSQzX87C+vt5Xqh+HrChIKAoSiQTtd2Bd04HvY6NUovNiJQnFUgmqokBV1b7OWNZUFVYYwnGcbbGQuPd08+ZN7N+/Hy+88ELXi2lUcfNxQ9BRe3memnSvt/0aeosU5ufnkUqlkMlme/h2Y4RhCI8xhjzPQ6lYFDUDmzktScNANpPpS3SSSqWwf/9+7N+/H15ECvyrBw9w8+ZNSLIsps2NDA83FfHrBpqmifkiVctCKpmkTgCLjHgDrcskPFRNw927d3Hj+nUcO36cdnizqPdJYx4BT6FR4Pl2q1KBFxkmLysKXnv9dXz/+9/H6dOn8c4772xdBCNemGVZoqGsX4NwOOVNIgSZTAalUgkVyxKt8jsFRVGQSqWQME04XOKb9UM4rks9lmoVhBCoqgpVUaCo6rYK6pqu00jFdWH2kBYLQSOrT8+excMHD3D8xAns27u3zZeaLH39EKDrF56kY2kB3/Pw4MEDHDhwYFvHyuWguRHwfV+QKUIAIVssFVlGyDqXWzWBbQeKomBiYgITExMAKC374cOHePjwIT7//HN4nod0Oi3Gkg4ND/dMBjB0XegcuZ5Hu7LZ7/g14eni/MYGLly4gD2zs9i7d68wHABNxT5peOqMAkBTSJZl0YEWgCjwJEwTb7zxBj744AOcP38eL730Uu3DF2mR54qa/Zx5IFIHLFxMpdPIFwpYX1+nUhY7HCby1BFhBb6h4WHaYs+K02EQiJQTiXxeYYaim+Pj2vdi2lQXBXoul3zmzBnkCwUqasde5Jbn1yx9FP39Y8Z2mEc9JzjadOk3wsLCAjzPw/T0dFffC8OQRuk8GmCzu6O/l/hzxZod+bvGi8GPRPiNEKRSKRw8cAAHDxyA7Tg0zbSwgLn5eVy/cQOqomB0dFQYiW5y+7IsQ9c0qkhg20Iwkt8Fh0UJnFo9ODSEE8ePiwiBP6txpNAn8AKkx7wS7pkQAIMDA3jp1Cl8evYsMuk0njt0aMv3ufKpzvJ5UcbIdsCHj/MbzmW0bcdBoVhEro9heiMQQkBkGbZlQZJlmFyN1TDAJ1x5LHLwfB+h78PyfRBmJCRJgqqqwki0W2S5cXZctyujUCgW8eGHHyLwfSpq10VBvGGq5Anyznn6qCeJi0dYMJ+fn0cul+tIQVdEAr4P3/M2pSKCACGjRMuKAoXl1+t7EnhRVpIkJB7hIhh9GjRNw/T0tJACz+fzlNG0tITz588jBJDL5TDGjMTA4GBTw87XClXTYDuOiBZ4R7PPuq4938e5s2ehKApee/XVzWcicp9jo9AnKMwLCZgHrChKzYWenp5GsVTC5cuXkU6nsWtyUvwuGiXwG9JrTjaKkHVugnUuAnSRzWQyWF9bQz6fRzqZ7PvM5noQ0MKeUSfPTQihtQVFgWmaovWeRxG+51EP0LYBVhiUZFmkm/gc2ig0VaVGwXE6HmO4srKCM6dPQ9N1vP6Nb3SdVmvEQHoidY96iRQigm/doNtvuMxrPtJAJpurfEZTQmEQiHQQn0+gKApkRoeWWtSqiCTBCwIEngdF1/s+g7kp6p4J/o7z+5JjhJRDhw7BcRwhv3H37l18ef06NCYFzv9EmXDRZrVotABQJpXrOFBVFVeuXEGlWsW7775bO/M6co9jo9BH6LqOqmXBZXIL9S/G4cOHUSgU8Mmnn+LdZFIwkuqjBAAdq6e2gstb2fmgEIZ0KkVpeLaN9Y2Nto1Y2wUhBLZltX3YCCG0z4G9pHzUpstUUAPWdOP7PixAjDVVZJkaCFmGwoeFBEFHyqlzc3M4f/48BoeG8MrLL/e2QDRIlewY+2gblNKectWPKNJ58OAB/CDAxMQEXNel+W9mCAJmALjMPJdvUCKRgFz3jLcCIQQuKzA/MmXdZuk0nrpBrRPIo4jp6WkEIZUC55TX+fv3AdAMBO+LyOZy4v5GowXf82iE4Hm4d+8elpeW8MYbb9SoCtQ7C08aHRV42o0CmPog81JrOlsBvPzSS3j/gw9w5vRpvPvee0J6OxolbH6h+7wsR8CihBANFgNCkMvlsLK8jAKTst7pDkbHdbt+2CT20vIXl4fEPJIIggAIAjhhCOK6YlGwLQsOMySpdHrTaDAeOsBE7b78El988QX27N6N49tQhWy0FDWtKbSid0Z/x//N7n8oPlL3PLDaVVj37+h+eXFRTCHD9qPQtmizQPNGMR4N3rl3D7mBAcqgYQKQ0XOWJAmSLNOUEDMGvRosj805IGH46Dp3m7zHvOM4rLvfUUiEYHBgAIMDAzhy+DAsyxIDhW7duoVr165B1zQ6kpRpNPFogUfcy2trmJubw7FjxzBap7JQ/zzEkUIfoWkaQlmGz6x0I89MlmW8/vrr+MEPfoAzZ87gJFuM9Cbc4G6kdTkCVo/gueRGjB7TNGGYJvxyeccoqlFYlrXtaWuSJEHXNMGO4IwK8YdFFoqioGrbqHge5EgdghACWZJAJAlXr1zB/a++wuHDh3GI1Xh6bShqeHeibJd6ldxW9zP6uzqHotnnwwb/jhqPkPWq8OcrrPk6Sy1yYwmqXcU9chLSsavdIirZEvg+PN4x7Ps0dRO51o5tY3VlBQcPHKBT0RQFMhufKTOD3pepegDAUilhGD66tFEHIE0ihkYwDAMzMzOYmZlBGIZYXV3F0uIiFuqkwAcGB2EaBoqVCubm5jA9PU2ZRhGEdfc3mU4/MdPWonjyjqhDSJIEzTDgM/E4ngbhBWcOzkj6wfvv4+KlSzh69Ghz6xz1BDsAD7X5fukmGr/UA7kcrGr1kVBUbcvC0NDQtoTS6sHzyPUPccBGczq8s1qWqda978NyHFy6fBn5fB6HDh/G2NgY8vm80GviomlEkoQB4T+vv49Cv6aBh8cnW/VDzmA74EqeQOP0ET+v6PEHtR8QabroNnkkE7DGqCAINv/N/rZdF6Hv124vkgLiC/7CgwdAGGJ2714aTe7g9bJtm94XSdrxWhqAttE+N578OeH/7rQmJUkShoeHMTw8jCNHj6LKpcAXFnD37l0xAlhTVZw4fnzL97msBUe30iJTU1P46quv8N577+H73/9+y89evnwZJ06cgO/7+Nf/+l/j13/91zvez1NrFADW3SxJNJ8dGYdXj4FcDiePH8eFzz/HhQsX8NZbbzVNrxD28rV7VUThbesGGn5eUVWk0mkUCgWsra3tGEU1DENUmO77o1ggJc47r1YhybKYI1EsFnH23DlYloWXXnoJ2WxWRBg+HzNaH8YzowzmuXKjIfG/meEg7HPi/J4U9hFfwOnBdPG1UHj2Af93EFDPMgjgs39HPw9g0+sMQyESKbEITY6k8SRZFkZqYXERo6OjMHZYbycMAmoUCO0rehTMqrCD9zZ6X7oyDA0+Y5om9uzZgz179mB+fh4XLlwAJAl7ZmcbFt/rv5/rUobm1Vdfxbe//W3Klmrj8P3ar/0afN/Hvn378Ku/+qtd7eepNwpFZhSEB4Ct0UIIYGBgAKdefBGXLl7E+z/4Ad54880asTUBQiCjddE5RIP0RwcPfQ1FtVDYkRF8rusiDALojH0U1KdTdgCqpgFskhyf2XvmzBnIsox33313s9DGOO4OL2Rzr5ctevzfYP8mLWoC/H7LkgTLtsVYRh4x8O9xz5vnk+u9cf7zaNqrFaIjHfk0MP5vztghhIhu1jD6Of49RlkMmREIw3DL81aT3ojULqIGUiKESrUTAp/XAlocf6VSwcrqKl46darlOfYDtuMALEIhkiSUQncSnTzl9c9Up+9Gs1RTGIZUvv/yZeQGBjA0OoqBBu91vZKxrChdD9d57bXX8O1vfxv5fB7Xr1/Hc8891/Bz3/nOd/Dd734XAPBbv/VbXRf4n2qjoKoqJEVByKhzXJOnfoH2mReVyWbx3k/8BE6fPo33f/ADvPraaxgbG+tqnw0Ngvhla8MQpahu5PNIp1J9D6sdlsPlRoFsQ0GzUyiMieSGIebm5/H5Z58hk8ng9ddf3/QSySZNV1VVhE3OO5oiEYYi6j1HUiYhM3p8Vm9Dj68FE6WmjlBnRADaEQvQSXo1hehoZBLZhuf7qFYqkBhNkytmho2Ooa6oza+NSKHxRZ//m0dITRYxn10bbvSiBovj/v37kAnpqFFwOwiDALZlIQTVOKowxt+OjXDthiTSZP+tooVmvwvCEJ9duIC7d+9idu9epFIpKhLZIANQ/+1eHMLXXntN/Pvs2bMNjYLruvj7f//vAwDefvtt/OzP/mzX+3mqjQIA6KYJm3mpzYpZXM1TkWUkEgm8++67+OSTT/DjDz/EiRMnsHffvtovtKgtNNNl75Sfzimq/g5RVAXlljE9Ok2HbRe6puHO3bu4/uWX2DU5KUTtxMvUad6WEIClPpqBe+W8NyQMqQaTwXjwUe+6xkNnXrn4Xf1CX3fPPdaoFfCZAAxRVpW434QAvg/CDKTChi2JiKQuGiHMy5cAEFnevuGOXGdR3+L7Z+c9PzeHsfFxKDtc9OUCeDJjtFUtS0ho91N/qye0MCCNZp5HazpROK6Ljz76CGurqzh+7BgGh4exurICWVEEYUWK3O965HqQKn/ppZfE6IBPP/0Uv/ALv7DlM7/zO7+D69evgxCC3/7t3+56H8AzYBQMw0CViW0ZhlFTROLgqQU+d0BRFLz22mu4dOkSLly4gFKpRIXYIha+kXcQdFGEbgqysxRVbhSMSGPeThuEIAhw9epV3Lx5E5NTUzh18qToFG+E7V5DLpnAC6iq64IQAsMw2g6Bb3xAdUaDHaPreSCgE/UyEQG3Zh47V81UNa0rIgFPMW0LzRY79rN8Po+NQgGHjxzZUZps4PuwWCMX716WIka03+imUMwOoumvggZEhkbPcblcFkOgXn/9deiGQQ2eqiL0PEgsXSax9ab+ehNCMDA01PkxM5imiWPHjuH8+fP49NNPt/x+dXUV//yf/3MAwN/8m38TL774Ytf7ACgj7qmGrusgqoroRKcoQtD0EYAaD0mSJBw/fhzHjh/HjZs3ceajjzbz0gCNFqIsEHT2UHeyAHOKqixJWFtf7+AbncO2bUiE1ERNOxGy8+vhui7OnDmDW7dv4/CRI1RnpsF9qP1ynxeHHoq7NeC1Bl6UZZEKT+3VFG0j/Rf14HMDuhYa7MP1aHfmt+/cgWkYgg4tYWcmw/EogTe6ARDkgJ0wCt1us9UZi5pkg6I+x+rqKn7w/vsIwhDvvvceUuk0RIMfe3YkSRJrDsKtEjqJZLJnR5CnkD777LMtdZp/+k//KTY2NpBMJvGbv/mbPW0feAaMAiGE3hhsesn859wg8MJzo9B1//79eOONN7C0tIQPPvhATGEDah+gdrz6bh/OgVwOsiShalk0Z90n2LYNrYHERT8MA89T8xx/tVrFBz/8IZaWlvD6669j//79AFhdo9WG+nAsjbbwmLlHm2MZuzm/MOy5Z6NmMy1+57ou5ufnMTs7u5n6wmYxm4AuBNu9fgGbYxyitlOXF/j7NewmsuGuv9JJHwhfJ+rZgXPz8/jRj36EdCqFd995B4ZhCOE7jRlAno3gDkK9wgGArgvMUXCjUKlUcOXKFfHzL774Ar/3e78HAPgH/+AfYNeuXT3v46k3CgC1vERRELDJZBwEm6mjVk0i4+PjeOedd2DbNr7/gx9gY2ODbYBsGSfYCpwh0gk4RVWRJKyvr/fthbEsqyndthc/TTRFRQq+YRiiUCjgB++/j2q1irffeQfj4+N0ZgPToeIvS5ON9nAkdYhe50dAd+wEQiG1m0ihTwa71Rbm5ubge54Yb9kI0TqE1E3hNgLLsiCBLozR2d07lT7qaUpdB98Jw7CGMRWGIb64ehVnP/0UU1NTeOutt6CyWgmAzRG+ZFMB1mfqsQ0p8j2kjjiixeZoCunXf/3X4XkepqamRKG5VzwTRkGSJBiMH29HogUgUmRW1YahHEcul8N7770HwzDw/vvvY35urqu0RC+PezabpYUj38d6n9JItm03DE05nbFT8CJtwGik0fNbXl7GBx98AFVV8d6779YwKTRNAwgRAmHNtr1tREN89vfj7lMQA3Yew3E022MYhrh9+zYmJiY6lj6J0rsl+oO23/G5Zha2DqLnUu59NQqcWtwlOu4YZ9fAcV18+umnuHb1Kg4fOYIXX3wRRJLgOg58VnPio3IJqPPZqJudQ1YUZLehlnzgwAEMsiL12bNnAQB/+qd/iv/6X/8rAOA3f/M36ezobeCZMAoAYDIuPFd25ODWXkhBt3goDMPAO2+/jV27duHjTz/Fj0+fRqlc7u7h62JBkCQJgwMDUCUJ+UIBlUjqqldUW0QKnSJKAa3H3NwcfvzjH2NwcBDvvP32lklWhqaBYFNuuRH6smRGPezt1hT6gGiRuhuZiH4tk80Wu5XVVRSKxa0Mu063i4hD0WJR56lbrS5KADaN9XYEJ+s22HN02FEvA6t/fPXVV/jud7+LhYUFvPzKK5QCSgjCINhk+RkGjSqY48TrT7yhsB6ZTGbbTauvvvoqABopeJ4nupVfeukl/I2/8Te2tW3gGTIKmqZBY4shZz/wVAfB5rzYdg+TrCh4+eWX8fprr2F9fR3/v+9+Fzdu3my7/14lk81EAolkEoosY2V1dbNA1SNsy2paxGpVW6iJChpcozAMcfXqVZw9exYzMzN44/XXG1IbuRomAWA1SCH1M4HAz+RJSB7ViDF2E5H1KW3YbI+3b99GKpXCyMjItrbPdZukBh66kNhGY4E3rvfUr3PdSan0MAxRKpdx+swZfPzJJ8jlcvipv/SXMBmR37cdB0EYQmb6YAB1ggj7GSclNGrY64WKWg+eQrp06RL+zb/5N7h27RoA4Ld/+7f7Ei0/9ZTUKIxUCo5l0dCOtfFzrna3l2piYgJDg4O4fOUKLn7+Oebn5vDiqVONu6C3iaHBQTi2DctxsLy6SoeS9wirSfqII8oCif7d6jULgwDnzp/H3Nwcjh49ioMHD7Z8+DRdh23bcB0HgWnuXDqFe4xPQE0hjBSZO34xWXTRFxJAg59Zto0HX32F559/ftvbF/vgdRMwz5+QTa+5yYhXnj7qS6TAeoh6/3pzFpQfBLhz6xaufPEFFFXFa6++igk2lIcj8H04zOmMakf5vo+AGYSmPU5hKFI/2wE3Co7j4B//438MAPi5n/s5vPXWW9veNvCMGQXNNEVzh23bNfNPOQOp0xcwBK1DnDhxAjMzMzh37hz+4nvfw4EDB3D4yJHG85/RY2qEEAwODmJpaQnVahWFQqEn4+OzyVidtLULZdc218N1HHz08cdYW1vDyy+/3NH4Rj6K0fM8uI5Ta6R2gpbI/n6cNQXBNukiNdBPAb9GW7l39y4IIZjZvbsv+4iCp5Vc10XAo4QWESqwg70YXaDZMeQ3NnDuwgWsr61h7969OHL0KKV1133eYp3afIwtR8AiBa411QiJRGJLurUXvPrqq8K4ua4LXdfxW7/1W9veLsczkz4CAMiyyKfbtt17SB+GNaHu4OAgfvInfxKHjxzBzRs38L3vfQ/LS0v1X9rWoeuGgXQmA0WSsLq21rDnooMDF2M1G/86FFFBCLQ1CJVyGe9/8AEKhQLefPPNrub56rpOvci6gnMv0tBN8QRECBy9DNfZyaMPwhC379zB1PT0jslWh2GIqmUhJHTWeasJbMD2z3cn0ka+7+Py5cv43ve/D8918c477+D4iROb1yxC0OCzRXhxWRxXRLRQVtWmabJslwJ4zZDNZoUEPQD8nb/zdzA7O9uXbQPPmFGQZRlaIiFokXYkp93NUtTo0ZMkCYcPHcJP/aW/BNMw8KMf/Qjnzp2roV5ud7nLZbPQdR0SIVheWemapso7rhsZQC68JrjpbRav9bU1vP/++wiDAO+8807XchxctZYP6xHoMwMFqKVTPi7w1EjfZhF0i7r7ubS4iGql0tfFoh6WbdOxlJK0GSVI0pb3p1/3pR/biT73S0tL+N73vocbN27g8OHD+Mmf+AkMNqCLcq0tUUzX9RoDyGsHhBAoktTU2RquG7izHfDhPSMjI/gn/+Sf9G27wDOWPgIAoutUb8Xz4Nh2rWIqK3a1VcJssRin02m8/fbbuHvnDi5evoyFhw9x/NgxZHK5vkhgDA8P48HDh3BsGxv5PAa78C4asV+irJiaXaH5UKEHDx7g7KefIpvL4bXXXuup+5KwIpxlWbBtWzT19BuPm4bKEfSQPuobGwfYYmxv3b6NbC6HgT55p/Xw2PsVhCFSplmzEPK0mO/7/akn9SFtxBEyZ/HypUu4e/cuhoaG8NobbwjJ98a7p9RUPzKXOQqPGYUtvVCRc08kEn1TRf7000/xwQcfAAD+2T/7Z9uiuDbCM2cUFE2DbpqwmEie7/six96Jh9yRlAUh2DM7i7GJCVy8eBGffPIJhoaHsf/AgZp5rL1AVhQMDg5ibXUVGxsbSJhmxxRTzrbi9MEAm12rrc4lWnC+desWLl68iKnJSZxiona9Qtd1WGyOth+GkHdqAe+R+dXXQ+ixm3knUK5UsLiwgBMnT+7I9kNANG7pmtZwMQwRYfxth3XUT4MA4P78PC58/jkC38fJF1/Ent2726ZRA98XfTcGo6DW/57P/uD7qcfkzEw/TgEA7VgGgOeffx6//Mu/3LftcjxzRgEAZNOEXi5Tb8ZxagqvEvNgmoX5neYtCSFIGAZeeeUVLMzM4NzZs/jx6dPYs3s3Dh8+jGQy2fPxJ5NJVCsV+JUKlpaXMTU52ZEHGmWy+BEJg1bnAEDMMLh46RJu3bqFgwcP4ujRo9teZGVZhqKq8FwXjm3DNIwngj66ExCRwmNSAY3eq7t37kBWFExPTe3IvhzbFiSFThwWPvOhF3Q0OKfdNgB89dVXuHbtGtbW1jAxMYHjJ07AMIy22w/DEOVKRRSX1QYkDtfzaO2hyb3XDQOj22AURvH7v//7eP/99wFQRdSdUJ19Jo2CouvQTRNVy0IQBPDqiraEKR82elC7KmYxL2Z8fBxvvvkm7ty9i/vz85ibm8PM9DSeO3So58hhcGgIjuPAdl2srK5itAOeecCnmqHz/CvvNP3444+xsLCAkydOYLZutux2YOg6Sp4H23HoAvIEFYf7icfZzczBh/XcuXsXu2dmdmQEZsBy62EYwkwkOq6h8FpXwGoQnWI7VzMIQ9y/fx9ffvkl8vk8RoaH8dZbb2F4ZGTTGLS5X1a1KmbAN+sUdl0XJAw35S6iCENMTE72bBQrlQoePHiAYrGIP/7jP8a//Jf/EgDwt//238Y777zT0zbb4Zk0CgCNFlQ2JKWeydPsYeiF3SCBztlVVRW7Z2Zw4MABPHz4ENe//BL35uYwNTWF5557rut8oiRJGBgcxMryMkrlMhKmiVSLvCdvPAO6K3ZWLQtnTp9GvlDAG6+/jjGmotkvqKpKdep9H67rQlGUvrJIBIuqT3z/XhAlBOzEiNWOQQge3L8P27b7atijqFarAGj+vJuJXtz56PT6EEnqudnN933Mzc/j+pdfolgqYXxsDCdPnMDg0JBgCdVPQmsEx7bF2sENYP2zy7MRIbBZa4h8RtU0jG9jqNF//I//cUuK6JVXXul5VkIneHaNgq7DME0hile1LJh1oW5fGocIgRSRWZAkCfv27cPs7Czm5uZw/fp1fP8v/gJj4+M4dOgQhroQwzJNE+l0GvliEatra9DZEJn6cwgBMa2MHkZn55TP53H69GmEAN59990dacwjhEBXVVTZzN56CYS+7AOdUWx3Cr00rvlB0He2FCEEt+/cwfDw8LZrW43guq4YPJTqZsZz3TURi2sL56AXg+D5Pu7evYvr16+jUqlgcnISL7/ySo1DxvcboPV74rM1A6DRbjNnhktZyKw3R+wD9Lkcm5hoKcbZDufPnwdA63N79uzBz//8z+M3fuM3YO7gjO1n1ihIkgQ1mYRhmqhWqygVi4LuGR3YHUXPbBBC1RFtx6lhoezZswe7Z2Zwn+Uz33//fYyOjuLQoUMYGR7uaBHL5XKoMgbPyuoqJiKevGhA2/wBO5z2211cWsLHH3+MRCKBN954AwnTFLTVfkM3DFQtC77nwWOh+LOEnhrXduA48vk8VlZW8MrLL/d927wnAWEIo4OehEaol3Pn290uXM/D7du3cfPGDVi2jenpaTx38CDSjZycDt6RMAhQYRGRqqpCuqO+G5rwPhxSO7+Es5E0TcOubdZ1fvd3fxe/+7u/u61tdItn1igAgGIYSCQSVHLB81CtVmsmYgkPk2Ob7fOkwTaIJGF6ehrTU1N48PAhrl29ih/+8IcYHBrCoeeeo4t8q0WSEIwMD+Phw4ewqlVsbGwgl8uBj6KMfldIN7dZdO/cvYvPLlzAyMgIXn31VfFA79QgFInpITmuC6ta3baKYw2egBpF2INR2AlcvXoVyUQCuyI6Pf2CxZpBJVmGsY1JgfUUcVKvidQF28hxHNy6dQs3b96E53mYmZnBweeea0ny4HNWmh5fGKJSqYjaR312of4d4bR3njrio2IRhhifmOgqxfak4Jk2CpIkQUskYFQqsCwLjm1DU1WorLGKP3xRSmav6SQ+kctvFvYSgl27dmHXxAQWl5bw5bVrOHP6NLK5HA4dOoTJXbuaGgdFVZEbGMD6+jrW1teh6Tp9COs+H7apKYRhiC+++AJffvkl9uzZg+MnTtRo1bTqXdgu+EAS13W7Lja2Qi/KpP1Gt3MUdsKMFYtFPHjwACdOnOh7bcXzPCFJb6RSvaXpWnynJmro4NmzLAs3b97Erdu34QcB9s7O4sD+/R1JSLTbum3b8JgMdsI0tzxX3JEkhNDIl0l88DGwnOghyzJmdrBxcCfxTBsFADAyGZQ2NqAoCvwgQLlSQTaTEQ8pLzoH26wvSC06GWtACMbGxjA2NobVlRVcu3YNH3/0EdKpFPbu34/pqamGc4bT6TSsahVeqYSlpSU61KYuV9mqo9nzfVw4fx7z8/M4+vzzOHjgQNPz3YmIQWF0Pt+2Ydk2En3OiT7OHoVumUf9UguN4vr169B1HTN95MMDmz0JhKVIes2Pt7wy/Lq1qjEAWFtbw9zcHO7evQsiSdi3dy/279/fcXNluyfaZZppAK3nNWJvRbvnbZY60mSZdjJjM3U0ODS0o3n/ncQzbxQUVYWkaVDDECGbhlS1LJpDR+Rh3eYiyCMPblyCDjqnh4aH8eZbb2F9bQ1fXr+Ozz//HJ99/jl2TUxgZmYG4+PjNTzkgYEB2I4Dx3GwvLSEiYmJmn2ErHhZvzjZjoOPP/oIq2trePmVV1ry16O9C/1eaA3DoB3ObOZDX2sLjzGNFPTA+uonKpUK5ubncei55/qewnJsW6QptzWno929Zu9NVIkVAErlMubn5zE/N4disQjDMHDw4EHs37evYc9A8823fj4C34fF5plomtZy25y5xHW91IhR4tL3u5/SKAH4GhgFANBTKXjVKlRVpW3ulgVNVUWxrB9LE08fRfPLnXrbA4ODeO211+DYNubv38fc3Bw++ugjqKqK6akpTE1PY3BwEJIsY3h4GEtLS3A9D4vLyxgbGaltQkPt4lQqlXD6zBnYloVvvPVWRxpGBDT87fdMXVVRoKoqrS0ww/wsgF+nRrLRjwI3btyAoih91zniPQkIQ8rk28b58UbKLe9EGNZKZIB67PP37+PevXtYXVmBpCiYmpzE8ePHMTw83NNxtKolhGGISrVKZyRERDWbnQeHzWQ+dFaT47TwZDKJoS61wp4kfC2MgpFIoKwoCIIAmq7DdRyUK5Ua2h5PmfRaV4hOdQt8n3r4XaZhNF3Hvn37sG/fPpRKJczNzWFubg43bt5EMpnEzPQ0ZnbvFobBtiysrq9jmGm0c/VTfvSra2s4c/o0VE3Du++911Lf5VHB0HU4rtv/aCHCKnuU6HbiWr+PzrJt3LlzB8899xwkJgTZL/CeBLnLnoRuwPsRgjDE4sIC5ubm8PDhQ/i+j+GREbz00kuY2LWrp7QVn7UsrkmTa2NZFlU5IITWEVoxk8AMF6+NESKuDS8wT0xN7Uin8aPC18IoaJoGoqoILAsqk10IfF8sTAKcZ97jiyWzaUtRnjLQ20KQSqVw5MgRPPfcc1hdXcXc3Bxu3rqFq9euYWhwEGPj49A1DaViEaosI5vNbqaPZBn379/H2bNnkRsYwOs9iNoR0Gin39GCpmlQZBkei9j6mXfdwiZ7BOi6ca3P1/PmjRsghGBfj+M2m8FxXfqeAN31JLRB/f1ZXV3F/Nwc5ufnYTsOspkMDh85gunpaZim2fPzJ5y7yLvc6NlwWToWoHWEZlRboSnGtmNZlqCiSmyIkO+60E0TY32StHhc+FoYBUIItEQCtuPA930YhoFqtQrLtqGoat8aqni0ENRR7BqGzR0gYCyI4aEhDA8N4djx41h4+BBzc3O4evUqAKqtPpDLYf/Bg4IFc/fOHVy7dg2TU1M4depUz+fHBQT77X0bhoFyuQzbcaD3OVp41LWFbtlP/Tw613Fw+9Yt7N27lzo7vt+X7QdBgCrLr3cyJ6EjROoFlUoF8/PzuHfvHkrFIgxdx+7duzE9PV2r+MnrDF3eU945Xf+9+v8Hvi+ioUaNodHvyXXpJz59jUcJQRjC831MTk72pCr8JOFrYRQAuhDZqgrLspDJZCC7LnzPQ4WnkfqwoHCPIUrpjC533Ww9aDDfVZEkTE1OYmpyErbjYP7+fdy+dQu37tzB7Xv3MMj6F65du4YDBw/i+T6I2u2EUdA0DdVqFT4bbbitAmYUj6HY/DjrCTdv3UIQhjhw4AD9QR/OPwRVWQVo2qhfC5zjOHjw4AGWFhexuroKIsuYnpzE8WPHMDwy0tQxIKAGt5uIoWk9Lxo1RITuFFlueZ71BiEMQziui5DXE8IQnudBMwwMDg09lb0JUXxtjEIikUCpVKILkePANE2UikX4LI1UQwNlBqKm0aYDcG+xEeWw48WVMZjaQdc07N+7F3tnZ3Fvbg4PvvoKDx48gO95kFUVhUIBN2/exOjoKDKZTM/GYad6F0zDQLlSETOlt228gO6iskhvSnRGtfhuGAohRc/zxMQtsR92vNEBK48Srufh5q1b2LNnz+aC1gfHxrIswTZKJBI9S4f4noeVlRUsLy9jcXERhUIBru9jaGgIL546hcnJyc4jWJa66fQZbHb/o/e4Ui7XCN01u39Sg/eWq8RKhEDTdYRBAMd1se/gQaTT6cfexLhdfG2MAiEEqVQKedeFZdvQNE2kkaqWRQtZ0ZtJ2IDwOnZEy32wv5s9vBJPLbXYXgB09WJLhGB6ehq6piGRTOLatWvYOzuLQrGIS5cuIQgCGKaJsdFRjI6OYmR0tGvWDyFk89j7BE3ThPSFUz/HuQs0ulK8cBkdkxj4/ubP6pukIi9+9M5UqlXB01eYuGK9o2BZFlzPg67rYqEgsizkVCRZhoT+S2rfvXMHnuviwMGDfdumywgAAJDsQgEVABAE2NjYwOLSEpaWlrC6uorA92mOfXQUU9PTSKdSGBwc7LkI265m1NbxYsa/Ui7TBjVuEJqcZzMHg1NRNV0XUcLwyAhSqVRL0cqnBV8bowDQaKFcLsNj4my8y9bzfZSr1a3t8ZFOy048QUmW6YPUYvFspLTIwWdDd+ubKZKE0ZERFEsl2omZTOKFY8cQBgFWVlexxF7Ue/fugRCCdDqN0bExaiSGhzua4dv3+gLjvVdYtKBpWtfedsC8eT7EhzA11iAIapv4eFRQ8+VAOAEkcn+FXAkhUNj9lAmBzMZM1nfdBuz/hBC6bwBgXa7RRYz/LcsyZEmCIsvUYDAqc1fnHQS4ceMGZmZm+kbrDYIAlUoFBIBmGDVD6RsiDFEql7G8uIilpSUsr6zAcRzIsozR4WE8//zzGB0dRSqVAiEE+XxeNHb1Cn5/m12vds9mjUEAXQ96kRd3HIfWKRnFnSgKxnftQiqVeuqjBOBrZhR4tLDhebBdF1oQIJFIIF8owHNd2CyVUfeljhdpiReaWzycfMEJ6yOGHg0Ch6IoGB0ZgSzLqFQqWGNU1bHRUYyxea6O42BpeRlLi4t48OCBYK4MDQ9jdHQUoyMjGBgcbJof3w6bqhF0Fi0EngfHdbeMOYyCGwDP9+H7vlj8A98XnpuvaSIVxCdhSZIEif2b/4ywn7VTNeXpo2Qy2VBBNmRRZOD7MBMJyJIkohE+BS9g/yagUWDAjp/npAFaj5CZkVBkGXKboTT37t6FZVk42KcoIQRtgAMASVGaahvZloXllRUsMUNQqVRACMHg4CD27d2L0bExDAwMbDl2Mbtgm6oBaFJA5nW8llTSMES1Utk0CMlkS5prsy05jK3khyF0TYPn+5ienYWiKNsarPUk4WtlFABKOyuXy3CDALbjwDQM8bNqtUq9uHovqcNcLQ9DA8YCafZgEYAOOK/3OLeJFNelCcMaqiqHpmmiUM0LbUtLS1heXsaNGzfwxZUrUFQVIyMjGB0Z2VKPEOyqFt5aVyAEhq5TWW3WUCga8VhY7nkePNcVuXsOITdACJ3wJstIJhJi8X9k3cVsodJUtWVaxGcDkALfh8cMms+ekzAMac3C82CBRi5cirneSIRBgC9v3MDk5GTfUhWcpx+GIY082L48z8NqpC6Qz+eBMEQ6m8XExARGR0YwPDzcPqpA9/pQTdHgPenEIFQqFVEXamkQ2myrWC4DABK6DlmWkcxmkUgkRET0LOBrZxR4+mTNdWH7PvQggGEY8Hwf1UoFxVKJspN6yHvKzAPlC0CrQpqIGHiRsw9GQVEUKhmuqpAlCWtM86mRB0MIQSqZRGp2FntnZxGEIfIbGzSSWFrCpcuXaROeoiCXyyGXzSKTzSKbzSKbyYD0KUdusDnOHqcHEkJna7MXOJqI4wukLEmQFYX2hQQBUCpBIkRIE/TrerZDtMbS7nkhhMqrQ1EQjYcC36fPSxDAZ+cdAMKAVFmRlRuIBw8folIu47VXX+3LObhM7M6ybbiui4WFBeTzeWzk8ygXClQBlNUF9h84gNHhYRhdpKwINpu6ei1a12yP1fqiOl9tI4RqFQ6TnzDbRAitlAh83xcRVTKZhKJpGGNSNH1V/n3M+NoZBYDSUzVNo+MugwCmJCGRSMBzHLieh2KhgGw2W+tt8mihxcPNvVY/COB5Xlt2Bc85836E7YIA1GNVFCRTKZRKJSyvrEBukRLgkAjBwMAABgYG8NzBg/B9Hytra8hvbKCQz2NpeRm379wR9ZJEMlljKHLZLJ1O1ebFr3ndwpDWA3wf5XIZlUpl8+UKmUwz95gVpbH3vwPicp2iU++3lXmSWNpIBYCI0iaPksCNhOfBdV1c//JLDA8PQ9d1+EHQNRXW930UCgXk83nkNzawvrGBYrFIJ4wFAVRNQzaTwdjoKLIHDmBgcBDpbXjB0Rkd/e5eb8c04wbB9TyEQYBEMrlFRDIKqc32iqWSMO6armNs1y7hZD4rUQLwNTUKAFUdXV1dhe37MBQFEiFIptMoMppqoVhENp3ewkgCWheeFUWBw3og0CGjZjtd1PXQVBWu42BwYID2YVgWlpaXMT462hV/WpZljI2MYCwyG9oPAhSLRepJbmxgY30dN2/ehG3b4mXJ5XI0mmB/MpnMFs/M8zw66pC9rMAmNZQXAHnU0yv6MlWvDXgvSbvj7LbTWmYRka7r4Pr8fKpYuVLBkaNHhX6UzPSkeKE+uqhVLUsY9Y1CAfmNDZSKRZHaNJNJpFIpTM/MYGR4GLlcDoZh9PW6Rc+9X9vlEUI7g2BxgxCGME2zpUEAUCuQycHeTV6I5ym2weFhGIYBRVGeWjXUZvjaGgVd16HrOmzbRtn3kZQkyJKEVDKJYqkEz/NQKJWol1RPVW2xiKuKAkLIlhx4I/AoASxX3w/DoDJtIUmSMDQ8DH9pCY7jYGFpqWvDUA9ZkpBjUcHumRl6/IzJtbGxgXw+j0KhgKWlJdy6dUtEVal0GtlMRoTcGptmpbKFXzcMqJoGl7E61EhtoRfw1NxOQ0hmt4kIt3NXRdoJwK2bNzE1OYnx0VE4rgs3DOG7LsqlEizLQqVaRblcRqFQQKFQoLODwxCqqiKbyWBkZAT79+9HNpOBputilOSOsWYivSD8XPqJZoaBGwSeMuqUXtvIIPDtlysVIZiXzeWQHRgAgGcuSgC+xkYBADKZDFZWVuD6PuwwhC7LIJKEVCqFYrEI13VRLpeRajLvtpE3KisKSEjVEhsNk7FsG7/+a7+GfD6PoaEh/Na/+leb+WgmDkYA2K6L/9dv/iZu3LwJVVHwD//hP8ThQ4fanpOuaXAZa0aRZYyOjmKJGYaHi4sYGx3d1uSsKDhN1TAMjI+PYzwyKpSnKdbW1rC2toZ8oYCHCwti7i1fuE02Hc80TTGhLZVMIpPNwjQMGKbZUX2n/rV8FOJ4Ygxnu5RZD8cRstSaxfpobt26JTR6Pj17FpVKBVXLgst+xlNMpmkimUph98wMBoaGMJDL1RSPARqplVgqxGDXvV9olNIJ6ynCPW+ciH3QDYcNo7CoQUiYppil0uqYG+0reh7lchkkDJFIJDAyPg5CCHRdf+aiBOBrbhRUVUUul8P6+jqqngeZ5bF5EbbE9HmkcnlrdyfZHCUYfdgJIZBVFT4bcl7vmRu6jv/up38a/+E//AcsLS/jRz/6Ed599136S2Zk/CDA//t/+V9w4+ZNSITg//4//o8dGQSApo84QwLYNAzLy8uwbBuLS0sYGxnpm7REo07TkDGHJFnGwOAgcgMDCEGjKJ4rt6pVqj/FPFzLsigDzLLguq54UQlok5BpmkgkEjAMA2YiQVljrDbk+T6kuuv8KAQvhMRFC6PV6Dh4dFWtVsWiL65FpUIbKqtVupBFrq0kyyiVSjBNE0NsiItpmjAMQ3SFc2YTsNkv44dUu4fvu8yopIqqQuuAOdQNmnnuwDZrCjySbvIOclTrDIKqqk2ZfU2Ppo4yXq1WaVRFCEbHxkTaaIBFC88avtZGAaAUVdd1USqVUPY8JEGppYqqwjRN4ZERSWroFXCPNGoYFEURBdRG+Kmf/En8yZ/8CVZXV/HHf/zH+MY3vlGzsPzH//1/x7mzZwFC8Au/8At4tYtB7IqmwVlfr/2ZLGNkZGTTMCwvY3RkZMv82V4RlR23bZtKJfACYxjSVJ1hQGJsoTAMgSYvVLFYhG3b4tpVq1VU2ThVy7KwtrYG66uvYNs2wro+D56L541hPPUS5f8rrGFMYmweKcJk4t/nDKcSE0tbXlkRtSbRJ8EWV97FzLumo5/xfZ8yihjxgP+ORBY3Lt5mcmNnmsjlcuL/hmHg+vXrWF1dxTe/+c2WzBmP0Uo91rXvgbKL3GIRCtMxsm1bOB/9uv9ApFegwe/4kt2z1AppPhlRNBMSQg0Ci5IThiGaMpt14jejjYd1xqdUKiEENTJjbLDVwMDAM9Go1ghfe6MA0Lyg53nUU7NtmLpOc91M14R7chJot2dNzpqxIKJejMIWpGYdnLKi4Fvf+hZ+//d/H8vLy/jhBx/gvZ/4CQDAn/3pn+K73/0uQkLw3/43/w3+L9/8ZlfnorPcfD0UWcbY6CiWlpdRtSwsLi5itAfJi4YIqQx2xbLoCxiGAKsVGJpWk89tV3Q1TRO+50GSJGTS6aYMLp/ljUvlMtY3NhCwqExQOyMLsaB9+j5c1sEe+D489jPf80RfBD0durjxxrPPP/988/gJEcaEsM5k3lPADYqmacKwSJIEqc5Y8SKywXpkNE1r6rVubGzg4cOHOH78eMczBRRVRUpV6Wxl24brebRrf20Nvu9D03Xkstn+5cIJEQ16DRH2PqcELQwC/TWVFSmXy7UGgUeODaKEhjXBiJGOwrFtOI6DIAgwu2+fMAidqAA8rYiNAuhDksvlRH2hXC4jmUpBYjlXPwjgOA7K1Sok5nnK9It8A/RvZhgUVlfgQ723PM5hiLfffht/8id/goWFBfzxd76Dt995B2fPnsX/9//4PwAAb77xBv6v/8P/gJDxsjuFqqqiplAPiclhLHPDsLyM0eFhJLfBsXZdFxWmeBowr1fX9Z5kK4DNWc6u48CqVps2aMmEIJlI0H2pKogkIVffdUy612sKIj0Da2tr+NGHH+Ibb70lOr35OYm8vCTRmd/NttfEe+4EIYCLly4hnUp1NlWt7jnhVF7f91EulSgTB7T2YDGZl77QRNt04ov0Tpf74tPS2vYhWBZsRlKoMQjY6oA0MwjN6j4lJpyXzeWQGxhAOp3un6rvE4pnM/7pAZIkUbEuVUWgKLBY6gCgFElVURCGIQ0lmedZo4MTYRBx7zAMQzGzNQru+fy1n/s5AMDKygr+4A/+AL/3e7+HMAxx5PBh/PIv/zKNQrosUmqaJtIUzc5zZGQECdOETAiWVlZQjtQgOkUQBCiVy5SpxTpzk6aJTCazbdVT0zCAMITDuPkdoUUuuxtIkgRVUWAYhnj5VTZzI3pOHfUokM4lUhphcWEBK8vLeP6FFzq7nk3ONwxDBKANV0nThG4Y8FwXxQhDqVd08t1uawqCctrmc0EQoFIuw7VtSCwdVj9bOXp8W8gHhCBsYRB4s5rr+9i3fz9M06yZ1visIjYKEXCePVEUOI5DpyuBPkzJZFLMLS6VSiIk9useMm4YFEZN9RoYBf6N1155BTMzMwCA999/H67rYnp6Gn/37/29zVQB32aHLxR/KbwWi6kkSRhmEYJCCJZXV1FkKqDtwD2zjXxeDC1SVRWZdJoaA7Qo4HUISZbF8J2qZfW8aO0kUZD3KLRqHttOsTsIQ1y6dAkjIyM1rK5WCBs8I77vo8SMvqaqGBwYQCqZpEZOkmBZFkrlcsPntBU4y6iTaxzwz3bwDIdgctVtPuezSI0XgJPJZEO6teiRAARbif6AFZNbNasVi3AcB0PDw8gNDCCXy7U9/mcBsVGog2EYyOZyIFx+gS2uhPUw8GJpuVyuzT1Hu50J7WwmQOOXLRJdvPfee+LH2WwWv/Ebv9Gc5tbBS8XZJE6DukIUkiRhaGhIpMlWVldRKBZbfsfzPBSKRVSrVUG3zWazQnOIHiJpbRg6NG6GYQBsvKndwsC1W2h2ikPeUaSwDQ/87t27KJRKeOGFFzr/UgMqaLlcBgGENhRPb6ZSKSRYo1oYhqiUSlQqvINjblVUbnVcnXS7dxIhOI6DUrlMmX+yjFQq1XJqWk2Ewt7P+mLylu8xKXAiy9gzO9tQ6O9ZRWwUGiCVSiGZzQKEUKlttrBL7AGUCIHLPBWRL+VRQ6SugAaRQvSlW1xcxLe//W3xf9u22xcT2zyY3FtyOki7SJKE4aEhpFIpyJKE1fV15JsYBtu2USgWRaookUggk043pmO2OMZO02GEMXIIIYLN1BI73JNQD9HN3GymL9DzMbmehy+++AIz09PIduOd1rGxuOMisfpLPZ1T03Ua4akqIEnwXFfk0JvuAp1HCOJQOuxTaGs0wlCw0RCGtKDOIvhmVNj6ITkhT/u2Aa8v5gYHsXv37o6L/M8CYqPQBLlcDlo6LeoIfCarLMtIJpOQ2ILPqYrApgcVBAFtYmMPZJSayh/HYrGI3/qf/icUi0VRTLUsC9/5znfaH1wLb0o3DEHP6xTDQ0NIp1JQCMHa+jpVw+THG1I1Vd7RqciySBW1PkQ6mGeL99qFt6VrGvXEGbupyY7odltsZyfMRaeNa73gyy+/hOt5OHr0aMffqVno2D3zWQE4mUw2HyQjSTATCRoFs5QKb9zc8lnS/QQ+MdsCzRd9rr7bbjuVclm8hzpreqyJUOuMoqghRJ+RDgxPoVBAvlCAoqp4/vnnn8kGtVaIjUITEEIwMjYGlRU9y5UK5XiDUf7Y2D0/CFAqFrdEBLwlHnXUVM7l/9f/6l9haXkZhmHgH/2jf4RTp04BAL73ve9hva7PoNnxNXo9dVWFaRgoFgpdne/Q0BDVKSIEa/k81vN5qnVUKtG+AaYm260kAl/UewIh4oW02DFs+Ui7TaD/DzkfhgS0aFzr0ViUKxXcuHkTBw8c6Hkx4s1WIahwYSdT3xRVRSqVEsKD1XIZVqSew9Ok3Z6Vz4xC02FCLQq9Yht19QPev9Fq2E5U7TQ6brUVQqZvtL6+DkIIdu/eLWp+XyfERqEFJEnC8Pi44JFXKhUauoIuBulUihaf66IJACKPG4ah6BsIQRuM/u2//be4fecOJEnC3/nVX8Xu3bvx1/7aXwMhBK7r4o/+z/+zo+MjaOx5Z7JZFLo0CgAwMDCAbDYLRZKwtrqK+fv3BY0xnUr13Oy0HW9a1TRRtLeaRQsMzRaXfueCeXqFNFnoQvqhnrb9xRdfQFMUPNfjAB3LtsUAnyQTFuwUkiwjlUzSdJIsw3EcIQLXbcqII2Cy2fWOhCg8t8ntb6kfNCkoA5vPGXeYuEHq9DjLTDrfdV0kUymceumlDr/9bCE2Cm2gGAYyXD0SEHIMYUglMdLptBjLV65UatIcaiS/z4eY/K//7t/h4sWLAIBf+qVfwgvHjgEApqen8RJ7CN//4AMsLS21PziyOToyikw63ZNRAGjaLJlMwnVdFIpFbGxsIJVMbq9ZJxLa97KwcP1+mzWe1Wy6g+/3O30kUkfNUjI9GqH1jQ3Mz8/jyNGjPY2JdBljLgRtAuzpnjFPPGma4MKOpVKp5yFQXKqjJqIidAJeq3ROGIawLGuzfqAotH7Q4rr4EWmKbvpT+Dk6to1yqQTdNPH8sWPPfD9CM8RGoQNo6TQM06TzAiSJNrKxIjMhBIlkUuTYuVJlyF4ENcIG+sM//EN8/y/+AkEQ4Ge/9S28/fbbNfv51re+RfO2QYA//M//ubuDjKSTspkMpRn2MBPXdV3IkkQpfqxYvri83Hm/QLPDQ+8UUd7QJhEiPNdGaLZs9Tvrz2tEzVJHvSyfIYALFy4gnU5j9+7dXX/f8zyUWR3J0LS2NZ92UFUVaUaqCMMQlXK5J8PA51YLA9pBDYjXD7iDpek6TYM1McI8iok2pnV6rK7noVwqUVJJpQJd1zEwOIgDfRp1+jQiNgodQFZV6Ok0dMNAKpkEAX2YiqWSGE2ZSCTEgJio0eCh7oc//jG+/e1vg8gy3nnnHfzVb31ry36mp6fxMtM5+uijjzA/P9/VcXIPNZ3JACyl1Q14l64fBMhms5iZmYGmKPA9j078Yqmz7aDXBdpkSp++74vaTlf77WMKKWgTKfRSQ7l+/To2NjZw6tSpro/V933RZ6IpSleT0ZqCEEiyjCQb8RoAqFYqXRs8LntCJKmjOovveZt9EyxqMVnUUo8wDEWaLmoEQjRPJUbhOg6l7BIC27apSq+u49XXXuv8BJ9BxEahQ2iJBFTDgKKqSGcytMjMXkbuOeq6To0Go6wWSyUoioKbN27gj/7oj6AoCo698AL+b7/0SwDog1xfPP3Zn/1ZoTz6n//Tf+r+QAmhc5kJ6arYLJhUQSBCdcMwMDY2Bp1JViwtL2Mjwkzq/tB6TyFJkoQEWxyq1aqIgqKLxaMipbZqXAsbMK7aoVgq4YurV7F///6ulTd5ZznXZNruWMh6GQheOyNgHb7lcud5et6/A7QdcAPQKLVULiP0fdEX1LAhLWoAIvefNPh9M1i2jUq1KtRjHceBJEk4fvIkMi1kS74O+PqQb/sALZWCHym88kihVCzSATKqClXTkGYSxzxXefjIEfyLf/EvqHxCxIvjIW/AcqESIZicnMS//9/+t20dp6qqSJpmx3UFjxu3iEHgXp2iKBgbG8Pq6ioqlQryGxuwHQcjQ0M9qURux2PX2AAhz3VRrVS2Sg60KFoS9MdohBFD3ih9RDpkuojtATh//jwSpokjhw93fSzRXgQeTfUMUisZzcFp2OVyGX4QoBodm9oCPMcvtYkSeP2AEzUURYEZoZtGP9dq4ecRQqt6ghjAw+TZNV1HsVgEIQQzs7PY04nG1DOOOFLoApIkwcxmqfol4+urmoYgDFEslUS+u4aZxMT0fM+D47oNH1i+UNZ0Rm8T2VwOxTYdygBEvtj3fciM3VH/AhNCMDw8jIFcDrIsw7YsPFxc7LnOwLueewFXdfV8HxZbRDrdVj9SSFGp5qYpjS5w+/ZtrK6u4sUXX+yquMwNQie9CB1srC0TSFEUJNmzwdVXW24Sm41irSixruuiGGHuNaofRDXG2nUitwKX/LBdVxhRz/PgOA5yg4N4vpvu8WcYsVHoEpIsw8jl6KJQF+Lato1ioQDPdSkzKZUSIydtx4HjOE0X0mihLGB/tiNUlmbzpkVbf5PPVS0LrueBEEKb6Fq8cGk20lGRZVFnKPdYZ2jW3NYOkizTgj9LI/kNPNum++zlQOvgR1JH2zUy5UoFly5fxuzsLIaHhzv+njAIjO6Z7LAXoSkinP5WUBQFCd4cyWXSG4EZfa8R84iBzzyuRNJFiWSypn7A+wv4H77tVs9MoyPikUiJRfayJInGt3w+j0QigReOH//aso3qERuFHsALz5xSl0wmKVNDkkQqhhdlk6kUNE2DqqqwHQcb+XzLF1AsNMwoBPVqrB0iwxhIQYPcOwefgBYGARJsoW2H+jrD8vIy1jc2Oj6u+px1Lwurruuid6EaMUrtFrZ+jOcUdNQu5T22HAto2khnXbOdImB6Rtwg8IaznqPLLp8tTdehqCokWUa5rvAstIuYNx9E5NSjsB2H9gOw/h1N12v0i3hfBH/uu1EKDusMlcdSuDyy0RirSlVVrG9sQNU07D1wAKOjox3v41lHbBR6hGaa0CL1AYUphRqsA5prBfmeh2QyiUw6DQmAXa1ifX29rSplVOY37CF6yGQyCMOwNoXEowa2nTKjGXKj1Sl4nSGVTEKWJBTyeSwuLTWdNNcKImLoEmYiAYQhnSzWYRprixRCD2jFPKpfkFrh3r17WF5exsmTJztuMIsahDAMkeQGAd0bvE4ax5ohyZ573p0vtolNwwBs7VHgcx2sSgUIAsFuMk1TKKPWS12zf3R0XDUGKqRqvuVSSUzHSyWTNKqSJCr57nmYmJrC7j17ur4GzzJio7ANGJkM5Ag7grCwNM0kMAImE1Eul6n6ajYLSVFomqlYbMq5Fyyd+oWHLeZ8UWi1EGTSaRBCGhabiSShWqnAY2kjswfGCiEEQ0NDGBgYEHWGhYWFjuiijRbmbusMsizDYNGNZdt9q8W0Q7MehW4WZcuycOniRUxPT2OsQ1lsbhC4UUpHDEJXYIZgO7l5IknUMDAqp0gjRbYXBIEwkoQQ2Cx9w6mmhmFQcgbr+t+OgCAHn13CqdVCJ0nXkU6nhePjui4K+TxGx8exe/fuOG1Uh9gobBNGNrsllaCoKh02wzuaHQeFYpEyk9hiHUaiiZZ1BmxdRKMzkZullxRVRTKRaGgUwiCA7TgIWD56O95zOp2mdQZFgR8EWFhcbF9naGQU0H0qydB1KlHO5gJ0tDBvc+HhC2A9HbXTIm8I4MJnn0GSpI5lsXmBlLPUUqlUTx3P9EC7r+M0gpAfkSRa8K+7d9x4hgDKTEcJYQiZyXZrbCFudCS9pPn4u1BlzaMBayxNplJImKaI7FzXxfLyMoZGRzE6Ph6njRogNgrbhCRJMHK5LYsC73TmtYYgCGDbNjzXhabr0HUdkixTSmupJIbAb0EHC6VIL9XJAmey2YYzEmzbRgg2UawPksBb6gwrK3Rucg/6P11FDOwa82bCVnMXarbfoxGMCuFtoUt2eK5fffUVHj54gOMnTnTUdeyz8bCcKsqlorccW7sN9bF5j7OVuBaWy2YYR8FnntuWRetakgTDNDeZRWHrucvdwnVdGh3wOoWmIZPJ0K58Bt/zsLKyguzgIMYmJjobcfo1RGwU+gBZUZAYGAAaeIu81sAXAEIIbeG3baRTKfFzx7aFGFcjcHnhLSMF6yDSS0GAVDK5tYGNRSgBUz0V0UhPZx45z2idgaWtFpeWGqaTWu2r22ORZZkaWFZ07kWKIcpu2cJ24XUdQjZ597K8ydhpcz+isB0Hn3/+OSZ27cLk5GTbz/MIgYvHNTMI9DBbHAMhPQv0bd0UEecuy7KIFqJDnQTN1HFAJEnMPeDCkv1EGASolssoFIu0qM2jg0Siplblex6WVleRzmYxMTmJvXv3fq1mJHSD2Cj0CRIzDI1a7Anrxk1nMjDY/OJisYh8Pk81ZtLp2qihyaATEtleK8+Pq0QODg6iWCxSbReWYnKYVydJUt9fCl5nGGRD7l3XxcLCQvdRAys+d7qAGIYhpJIrDeZI8HsSAvBZ8xnvCeHF+7Du31G5ZZ7v9lgtR8iBR3PzjKLM/90IFy9eROD7OHniRNtz4nIPXCIixfpeGqElm40d+7YjhahDEtmfrmkAIaIHp1wuo1wu0+cMdGBVokEjWoOT6OpwwiCAZVkoFIsiQtQ0DZlsFqqi1Dw7vudhZXUViUQCE1NT2LdvX1Ol1RixUegrZEVBYmgIQIMXlRAokoRMNotMJiMofbzgbEYGxTuOI+bDNoLwptu86KOjoyCShIXFRbEAViwLfhBAa5C66EfEANCFYGJiQuRyC4UCHi4utpW+boROjoewwmUIeu0c10UIKiPiBQH8IBDGQMwH6KHRq6m8RYRXv+Xn7HcPFxYwPz+PF44do4OQWoDPDwAzQKkWYnANETEC264e8G01ITaoigKJFftX19aoIjDrjE+yuQfNtltzbztlGEWNAatTgBW+k4nElmc4CAKsrq1BTyQwOTODvXv3xgahDWKj0GcoioLE4GBtCoKDeVu5XA5pNsrSITwXiQAAKmhJREFU932RN3ZdF6Zpik5o7nU187J5cbZZDlZVVYwMD2NhYQEATUf4nocgCKCqqqhB1B9rv9JJIyMjGBoaEs1uC4uLWF1b6zjdIuY9t1kwCCFCkTYMQxRYGq5VKqmXYiZnt9QUeZuxniLHbFkWzp07h7GxMezevbvlvj2mmcXTVMkuDYKYYtaHYjJPFTXbVsjqZJZtw3YcuI4DhaXzNE2DoqrN712Lhspm+6o3BrKiwDRNpJNJqA2cnCAIsLK6ClXXMTE5idnZ2Zhp1AFio7ADUDQNycHBprRRSZKQZoJziixD03UhsFetVhGC5soJISJqsJtEDTVo8AKOT0xgmfUQ+J4HhFSbXuLpAGw2CwVhiACbBqLTiKQVkskkjRoSCciShFKphK8WFhqmeZqdE6n3KjnYgszrKJqq0usGOhCp7cLY5cLpNSoyt1mwgyDARx9/DEWW8fLLL9O+DNYNXX9OXkTGWZZlJDtJu3Cwa9SPBj3ekVyfKgrZ+QSRBbpiWVT2BZSRlEwmhbxFIxG8bp+kZsYgyXoOeAq0frs8QlAUBRNTU9i7d++2xQK/LoiNwg5B0TQkc7ktjCAO3TDoS8M8sXQ6TZt4JAkBix6itNNKuSxE9hpBLDJ1xejx8XF4QYCVlRUxiarpCElgs5Oa59iBrjpKG0GWZYwMD2N4eJies+9jeXmZHlObJj5Ezkm8+GEI8LRQhAsPgA6oB22cajenuhuWC5eABiG16aM21+bSpUvY2NjAq6+9tjVtwSMh0OIsNwhKDxFCt553q+3wZ4CzrcRz6Pu0G7lQoDIXrLCbYDOeFRb5eiwajdashJBdh4fRyhhEu58bIQgCOlJTkjAxPY3Z2VkxBz1Ge8Tl9x2EYhhIDA6ivLYGSZJq2BCEEKRTKaxvbMBxHGiaBsMwoGkaHMepaQriBgKgi4fGhqg0KhTzPfAFJZ1KIZ1M4uHDh9SLC0MoXejkiPRSGBFNi6QUullYE4kEdF3HxsYG8oUCHW9qWRgcGKBia50gCOAxDnqjY+Upl1KpBNt1oTiOmIC35fMdH/km717pcC4AANyfn8ftW7dw/MSJ5pLYhI4Z5fUWRZYpzbZDKnI7NloHG6EzlCO9L/XHx0UdHdsW2kISITB0HSqjIbusjmM7DkIW6USNZzfGwGbPP3/GZEWBweQ1+L4DAKHvN9zuxsYGAgBTzCB83aWwu0VsFHYYmmEAuRwq7EGNzvVVFAWGYaBqWahWqyIHW28cCKHzFWzHgcxYNo7jQFVV6Lre0msihGBiYgL3v/pK8LJ7EU+rkRzgNE2w4ishNORkn2m1oMmyjKGhIeimibWVFbi+j5XVVZQrFQwNDDRtyuIpIgBi3gSp2x9f0FRVhWGasC0L5WoVaVluHR11ALHvyHZaLcjFYhEXLlzA1PQ09jbhw3O2lOc4VMbZMGCaZke02q4TelEGEjf0QQDCxmI22ic3BryvBdhqDDhkWYYXBHBsG2EYUiJDFw5DR8YAm3Rh/tzVR2rra2vwfB9Tu3dj9549dLZIjK4QG4VHAI2lNCqMmikUNlno7TgOfPZCaexlkxoYB74YclZSEARwXVcYl0bGgRCC8YkJ3Lh5E8VSCbqmbXuBFGB0yZDVIsQLymsAfNHGVkNh6jomdu1CfmMDhWIRVrWKB7aNgVyuJtTnKYz6RYsvyNFCe/QThq7D9zyapy+X6aCYBumYTj3tLfIW3KtusPB5noePPvoIhmni5MmTDT/j+z4qlQrdLnsOeAe8jM0IrRlCevDiWBp/aNN419QG2H3jc5Ib5eNt24bjOJvGQJKoMWhSPJZlGWDML0VROqM7hyFc1xUzMsS26oyBSD1FjX+D67OxsQHX8zC5Zw9mdu/uemBRDIrYKDwiaIkEwjBENZ+vGaojSxJM00SpXEa1UhEMmqjXvcU46LqIFjzfh6qqwjg0GtjO5a5XlpcxMz3dc0dvPaKeuuD0s3OLLkQhAERTPpGFOJvLwUwksLa2BsdxsLq2hkq5jIHBQSiqKkTVtuw7sl+xaEQ+RwhBMpFAkTU1VarVhimq6HyEVtgyWKfZ58MQF86fh1Wt4r333mu4OHqui1KlQo0/KyjXfI7XUMIQfrMiOyDqPVHdp6aGpD6Ka7CoBkEAy7bhRoyBLEmCTdQKvM/GDwKorC7SDD4TMXRct6YTvN4YABBCefXHyaME3s2+vrGBMAyxa3oa09PTGGLU8BjdIzYKjxB6MglZVVFZXxcvkCzLME1T8OurliWKpcDmSyxJEgzDgK7rYjAIl89w2KxZWZZh2zY0XYfJIgfCDM/4+DjW1tYwPT1Nt4uIB9kHIyG2wCKgLRO8oi83X8Ai6Z7R0VEU8nkUSiVYloX7Dx4gxcQFOROr6b6b/I5r9PNOcdu2G0tLtDt/VmQFNo1Cswjj9u3buH//Pl559VWk6ifDAaJ+wGm0qUSiac9ESAhkQkQ0UWPAoim8TtJNzWoGoKkYy7bhRL11WRaRQattEtAZBmEQwPd9EMZuq7+mIXtOXdetIUsQSYKmadCYHDeHqHHU7ZM7CQHoM1e1LKytryOZTmN0fBxTU1NdzaaIsRWxUXjEUDQNqZERVPN5uNWqKCYnTJN6T7YNnYmNNQIhBKqqij4DHiF4bLIbX3SqlQp0NsVKU1WMjY3h/ldfUe8saggiqZd+xA81tYdWqZm6fDAhBNlcDolkEssrK3AqFRSKRRSKRWTSadHR28o4NNqXoihImCaq1Sqq1aqQZqg/5lYpJG68pUg9qNHYyrW1NVy8eBH79u/fImMRhiEqlYoYaKRpmhgoE903N9TRuQQSIbS4vrmxpsdad2KCWlp/fmEYwvM8uI4DJ8IA430G7YxB9Hj5PvjcbEFFZfuwHacmPQRQ+qrGtbeiBIzodag3LGybIASh76NQKKBcrWJkfBzDIyOYmZmJaad9QGwUHgMkSUJyYAC2psHK5+mLJcvQDAO2ZaHC5g83k5jmCpASC+11XYfv+7Btm+aCmXGxHQflSgW6pmFgYAAEwPrqKoaHhrZsO/q/fhiImu3XFYJbgTe9Vctl5AsFKnNcKKBYLiPN5lI08qw59Tfa6MePgKfXOO0zXb8NvmhKEqXfRmmZgBhVWlOgj9Q0wEgAH330EbIDAzj6/PM15+p7HkqVCgI2Ycw0TRGxbJFEiVyvqIHldM8tqL+mkTpPoxQRdx48JkMRve5GE0bb5ik3N568CZN/js9Brk8PacyhaXQPG6WKouDPves4WGWU0+k9ezA6NoapqameZobH2IrYKDxGiHTSxgbgeUgYBhzLovOHLYsOYq+DWIjof8QCIssyEomEmDtr2zbKlQpcx0GlWgUBpYQuLC1hdt8+aC1eIM6d5yH6drDFsEUX0wbn5vk+PdZkEgk2LD6fz8PzPBSKRWocUilkIoVjKWp0uJeN2vx6wjRR9Dz4rFM8KhkuvFLWxxFNb4XhpjxGNKURrWMEQYBPPvkEvu/j1VdeqaEeO5HrLzO6bLOFt9l14ZAbGIZoSo5IUm3BnyHwfeoo1M0Il0AFG7UWkSmPNjb/2/j47Mio2XK5vPl5SYLG9tGI9cZTUO0K61yXqlwuYyOfRyabxfDYGKanpzE4ONjimzG6RWwUHjMUTUNqeBhWPg+nWqU58EKBLiSsyNwUkcUwWvTl6SXObCqxPH0qlcLC0hLuz88jlUxSKeP6IidDdOHru4FocNx8ca3fRzKZhJlIoFIuo5DPw2Npg1KpRNNKbJj85oGHCEkDNVlCZbaLxWJjo9sqfeR5AJvd0GjhvnbtGpaWlvDWW2+JbYYhnQts2zYI6OLbTBiunkXVCryOFEW0M51vIQgCeK4Luz6HD5reEfMQGu2TGZhW4Oknz/Pgeh42NjZgOY6Q01ajxqZ+H/wa1hvlJgjCEL7nYSOfR7VaxejEBIZHRuIBOTuE2Cg8AZAkCYmBASi6DpLPI/R9lJhYHggRcwqaoSbHG1m0eHHaMAz68jLV0uWVFSiKAsu2scHm1JqGAdMwoDEV1yj6VW8Qxxs5bwLUqJM2gkToYJlEMolyqYRCoQA/CLCRz6NYLCIdaU4KwhAyvRCUwhvJ/XPpiDKTLieyDKMDcTReyJVleUuKY35+HteuXcPRI0fEwBY+lN73fRBCoOs6lSlvVhDvotAvGgjZohrtmA8ZxdN1Xbh1neKKokBTFDpfucmC34jaG4Xv+/DYtn3PE5/zfR+u44AEAbKZDBWma7IPCUDYRZonBJWVX1tbg6QomJmdxdj4OHbt2hWni3YIsVF4gqAlEpA1DUSWhUxDqVQCUilojEnUiThcI89eURRMTU1hfn4ea6urOPTcc7AtSwiZuY6DQqEgeh4M04Suqi0nfG3XWPB0DDcMvEmv2TYlQpBOp5FMpVAqFlEsFuH7PjY2NmA7DhJMKZMzhETHb2QbqqbBCAJY1SqsSgUSIdB4UbWu+L15oqFgC0Wb5h4+fIhz585hZvduHHzuOQCUHhnVXUokElvonO3SRM3A6w0SE0xESHs4PN8XzJ7o0cuM2aM2MQS8X6H+SPixBUFQEw3UDxIihEBRVXiVCnTThMwkvrccdzRF1MV5hwCKhQI2CgVkczmMsHRRLpfreBsxukdsFJ4wyIqC1PAwZFVFsLhIawOlEiQ2c4EL2bVk4QBbGCwANQy79+zBw4cPUSgWMT01JbzaarVKJ8Mx2WZOcVVVFaZpilRAdHGpP4JejUT0e9F8fKvIIZPJIJVOo1gooFgqUTZKsQjf8zA4NFRL6wVqmFCGYYgO2nK5DJJM0v6QOh2lKOpTLSsrK/j4448xPj6OUydPCnaR47r0HknSlv6DbtJE9cfONiDuq88KxpW6MaQSIYLZ02xCG7/GWyLCMBTaRTwaaHQdVNacJisKfJbOC4IA6TqDwDuQ+X5bpYjq032e72N9fR2ObWN81y6RLoplr3cesVF4AsHZSbKmYXF+HrZto1QuI8WKq1yIrNUCIzzkKN2PEAwPDWFwaAg3vvwS04yxkUqlkEqlRPNStVKB7Th0gahWYVkWZLYQ6Jom8tEKo2nW7BctGqgaHWOkB6DR7znqu3IBurhls1mkMxksLi7SmoPrYm11FYVCgUYVpklTGVEjCcBMJMT8hXKlQgXdeP67gTHiuXxCCDY2NnDm9GkMDQ3h5Zdfhut5VN2WRTlcx4pfm56MQeRY+TXiXrvHCua8AE5Ql8NvcR1rWGbMCPiRbdcbYkmSxNjWRjUI7kjIrOOZ35dOo4L6/gnf91Esl1HM56HpOqZmZzE+Po7x8fE4XfSIEBuFJxhGMonx3bvx8N49OLZN5RrSaRGKd2IcasAai/bs3o3z589jaXkZoyMj4tcSmxCXME0qdeA4NMVkWfB9H1a1CjtiIBSmKSSxv/n/RYMXaj3FRkfYjnXCEfWY6w2ERAiy6TR0Va3hxa+vr2NjYwMJ06TD4jVtk7IZBPQ8w5B2GDOjq3Dph7qiOF8Qi8UiPvzwQ6QzGbzyyiuoWhY816XpJdYTwRfmbo1B1BB4rksXarZgb6GusrQXkWU6aayu2M4lLDi45LXPtun7fuPpfoQIA6AoSktJlCAIqHaT58HgnfQNnJFW5xo1BiWmBOx5HlLpNKZ278bU1FQsaPeIERuFJxy6aWLX7Czu374NnzGJUqmUoI12ZRwYM2l4eBjpdBrXrl6tMQpRSJIkis9RYTQureHaNmyWmpIlif5h6SVJkoRxiBqO6KJOEIlmukS9gQiDAESW6djKdBrDuo5CsYhyuUwHGFUqKFUqUBUFqUQCCTbrOASQSiRQKpdp2qxc3owYWL5eXA9ZRqVSwYcffghd1/HiqVOoWpboa+Dd5jVeeaeeMqsLiCggooob/Rw3xDx14zKJ6vp9+aypMWAzNLwg2FIPiG6XN/RxI9CpEXOZcqoky5R11ENkEAQBiqUSSqUSLZoHAUZGR3H02DHkcrk4OngMiI3CUwBN1zG1bx8e3L5Nm9vKZSqvzH4vinhsgeLGodEryhlJs7Oz+PziRWxsbGwp3NV79VEWk+/7gt3iswXMDwLKhbdtodUjcYMgSZDYQiNJEk05yTLkNl5opyD0AKlMM1twJFlGLpdDJpuFbVlUV6papdFDPo+NfB5GIoFUIgEzkUCCMZK4AUklk5AlaXNWgyTBc118+OGHIABOvvgiNUSgVFM+LKmjRZFdX891hSGIMnnENa/z2CU2PAjAlgiAp5OiczgaIWqs+Z+uprpF9xuGKFUqVPadsatanjOPghoYAzDBQ1mW8dzzz2P/wYOxMXiMiI3CUwJN0zC+Zw8e3r0Lx7YB1oC1JS3DjIOQ6UZt8Raghdbx8XHcuHkT165dw+uvvbZlf40WIABiMeFLQDQn7UfSEr7v06EszJslACRFoRFFRDIi8H3BlJLYz8XsCfZ3W8YVIgwXbEYgEiEwTJPKUbP0RLlchut5gn0kyzLMZBJJ04TF5leXWSrJj3jXP/rRj+A6Dk6++KKQceCGshUC36c8e9+nEQFL39SDR1oqM5a8J4L3b7ieh4At+Hzhr/AZxQ3AozOlLoLrFCFQI4deb2gc26YaTpLUfCAQq88I4gOoMSiVSnTkKGsWVGQZA5kMjh4/jsFYt+ixIzYKTxEMw8DEnj1YmJ+Hw7pGzURCLII1naeAeOl8wuYdMCNBCJVq3js7i8tXrqBYKtUwR7Zsh6HR8sMXsCgrxI+kQTzPo1PcWE6bT+8KGYc/AF0oeM8CTzNFjZIwFOz3POrghkWSJMGLFwwifvy8R0FRkM1mkeXRQ6mESrUKPwhQKhRQLBTonN8ggK5pKLOUUgjgiy++gG1ZePHFF5FIJKCqKpKsUB3wgi9f/FkKpJXHjug58fMA6zNgNZGAec/NzCFvVpNY+kdiURmPxHqhvIrrRsjmtD32d/1zUGIzxdW6KCGaHqqJLJoYg3Qmg2w2i33PPddQQDDGowcJOxGkifFEoVKpYPnhQ9ilEiRCkEwmISvKpqfc4rs8tRQCyG9s4P0f/hCjIyN4+aWXOtp3Lw8LjxyiEYWQkGAKnVHtoiCyIIlFHxADiiRCG7cIMxQ8bVQpl0EkCdlMRni4IpXG/88+z39frVRQZlPa+Ha4mmqxUMCVq1ehSBKef/55pDMZqKoKmTGRuGQ194SjbCHxNzte7knLrPaxpeGwybXj9NaoEZRZEdljmky9QBTBe/iuZVlYWl2F7/sYHBigRqEJa8t1XVR4v01EfjydySCZTEI3DOw/dCjuTH6CEEcKTyESiQQmpqexvLCASj6PYqkEsz6V0eQl5YtxCKovtHt6Gjdu3sShQ4e28MwboSGDCKiJVhrRGjm1kSOIFFeJLNNBOszLjn6bG4owEm14fEFmf/Mu4yqTBgE2Pdaa9Af/E+H9833JhKDKFGY9z8Py0hKWl5dBCEFuYAAuk8ZwXXfTsLDFnET6R3gvCU+B1XQg196Ipgt+fSTUCF7ddWqELQt/5JnoNZIIwhAbhQJ834fGxBj5+XDYjkPTc+x68ciDGwMuTZLOZLBn//6WiqwxHj3iSOEpBh9Qnl9ehmdZtNEskagdLM/QLILIFwr4/g9+gEw6jTfffJNSL/t4jOLhiqaE6h45j7FkOLg+f9QYiL+ZIYgqovJ/F4pFIAyRMM3aRZh77vyzbDEX1Fa2aAds+l2pXMb8/DwtnAcBRkZGkMpmaWOYqsJgi6FhmtAURRhFsQDX/c11fvjv2y34ba8pSzMF4aY435Ymtx3C6sYGSvk8vDDE2OiokHB3HAdVZgh8zxPnHoZ0NGcykaCsOZbu2jUzg2EmCxLjyUJsFJ4BVCoVrCwuwi4WhcKo0LRvgxDAnTt3cO7sWew/eBCHDh0SU7N6TS90Cv7g8UIq2+mmZx3NazdZQINI1MA92GREWqImbRRF3fYsy4LDPNyLFy/CcV3s278fAKBrGvwggMJSP2A0UoASAHRdh8Fy60IJtFGUwqOLBjUg8f/I8W55Mdl3fdZDspP3RhxTpEZQqVSwsroKLwgwkM2CSJKY3xEGwabsOABd12GaJsxEYnMKWxgiMzCA6dnZuDP5CUZsFJ4RuK6LtbU1lNfX4TIFUMMwmqd7Iv8GgE8//RT35ubwyssvY3x8fAvfvuni2geEYQiP1R22g1KpBM916WChVosOO5+ApYQcxwHCEOv5PC5fvgxdVXHs+HEhZGfbtohmZEWBz6TJPc+jXbuRGoKu69DZAB1N03aEWsnTbjsJHlXx+227LhYXFlCuVCAxcT3+e04DNg2DGgI2PCiKODp4ehAbhWcIYRgin88jv7YGp1QSMxYapZPq4bgufvD978NxXbz+xht00H3di80F1KIU134ZCZd1224HVdZxzQX9OIRMcyTtJIwBO5eV5WVcuXJFSFdYlgUCIMkYMeVSiUYzYUiH5DDlWatahWXbousbiCyohCqkakxYUI00iPVqLIKQSlY36kbuGXWMIb4Pl/VSWJaF1dVVWJYFSZLooCNQJhg3Ak1VYMMQ2YEBTMXRwVOD2Cg8g6hWq1hbW4NVLCJ0HJr71rS2C/jq2ho++OADjI6O4sjRo1QCuUGqI4otefQe4bPFmuejuwZjDVWrVZrD5nMWIo83Hz7kOI4oAKuqintzc/jy2jXs3rMHJ0+ehOu6qFYqkFVVzAcIAWEAEIbQNI2Ofozk8V02DtW2bcqoihiJzcOkKRbRmcxkKhQma807wBueIjb7Qrb12jIj4LLBO4IVFhHC4/fc930hNR4CGBoaQiqZRMI0oTWadx2BLMuY3LMHQ3HvwVOF2Cg8o/DY4JNyoQCnUgEJAsEWqW9mi+L6jRu4ePEijhw9irHRUSRTqa2fjzYloTYVJQqukfxyJ0t8yDn+QNs0Uo1HGln4XcdBqVyGoihIMw+fD4OxbZsyh9h3NU2Dqij47PPPcf/+fRw9ehQHDx4EAYT+jm6aW2oztm1TaWxCO47rh/yETDSPf5bvlzetBb6/Kc1ByJb0E8AK0RHpCZXVMnjB3eOGs8WrG2IzTcgjF8/34fNjiSz8iHwOqL1fjuvCtm1IkoTRsbHOGGqEIDc4iF0zM3F08BQiNgrPMMKQji8sl8uwSiU41SpC3xdznZuxlM6cPo2l5WWceuklGIZBZR+aea9s8a9Z+CMF1jAMIfP0TeRzpP6zYMYgDOHzwiz7fSsefxRcxpmw3g0+cCaMDNrRmYKp53k4c+YM1jc28NJLL2FqakpsZ2NjAwhDJBuk0ABavymx5kE+Q2DLUJnIPuuvlx8EcLkKLVc+ZTWLaApKLOiAoOry3o4t222wH46mUR5QI6UhjJCq0q7vSoWeJyFIplJtDQI3BmOTkw1HycZ4OhAbha8BwpCOhiyVSqiwyCHwfWiqCt0wtnrDjoPvfe97MAwDx44dQxiGSLKZA/1EfQG7Xv7B7yJvztMhq6urVGWTL+ghVQxVNQ2GrkOSZZSKRfz4xz+G53l4/fXXMTg0JLbjeR5KxSIkSUI6nW56DL7vUxE3ZrCSqVTr2ctdnIfI57N0DjcgAM33R5v7arz7FhEgAYS6rRoxAI3qRny2RpXNatB1HZlMpimFlhCC3NAQxnftqqnlxHg6ERuFrxlsJsFdWF+HU6kAvg+ZTVtTVVUsXkvLy/jhD3+I2b17sXtmBn4Q0AJug3Gd/UIQhjXpF4A2aTVLd4Uhlb12eEQQhrRzNgyRSqfFOfHFLwgC3L59G1euXEEikcCbb7yBRDIptkcA2sBWrUJjDKJWhilgOkme71N5DMa+abQ41/RFtAAvUPPPer6/2RBICN3XDr2yfhCgwuQ9bMbIkhUFyVSqIcVZkiRkBwYwPjUVdyQ/Q4iNwtcUfMJafnUVdqWC0PchSxJ0XRfSzNeuXcOVK1cwMzOD2dlZBGEIhTOa+qBwugU8dRT9EVjqhP08YBGBxzzoaKRBJAmO4wiGTLQQms/nceH8eaytr2Pv3r14/uhRKA0inyKb3sY1jhoZhXpKLx9KBFBZikQi0XDb9Yt51EhEGUvcAAR1bKxO6i29IAxDOI6DSrUKsKiS1zV4v0H0GIQx2LULZmTCXYxnA7FR+JojCAIUi0UU1tZQjYiVSaDphq/u36dUzeFhHDlyhHrcYbhjUUN0EQ6Z2JxgxrDB8QCENy7LMjRFEdPgyuUybMehsh+mCd/3ce3qVdy4cQOpVAqnTp3C0OAgwmgdhC3CYRAgn88DALK5HMBTNdGibqTGEc37e66LSqUiiuW6qsJgfP3oZ5sh+hL6TaIBLizYT0SjgzAM6ThRJtOts3ka0c7sTC6H8cnJ2Bg8w4iNQgwAm7nkYj5P6w4RWea1tTVcvHQJhmHg6JEjUFiaSdW0lkXoThGEoSiyihkDTGq6htnDCteSLENj4yfr983ZQaqqolKp4PyFC7CqVRw+dAgHmuj0c+/cZqNIZcZeCpsswtyjb/Rzy7IEbRUA7WloQ90EqFHgAnvRWkE0kuCppH4gDEPYTJoCnPnF6i+B7yOZStHjDkOouo6B4WEMjYzEbKKvAWKjEKMhHNtGuVBAKZ+HY1nI5/P47LPP4AUBjh4+DF3XBTWSawFF1T+ji1dUpI5DjIes49yHLIVE6H/oYBg2h4EP7pHYZLSgrv4A0LTY2toabt68iYWHDzE8MoKTJ08Kimo9oiMweerITCSg63pTo8AOtHZsZ/QYfB/VSkVIdyiK0rSJkKeNmr2G3AAFYVjT99BN8boefJ6Ex669xMaTBuy8UqkUVE1DJpfD0MgI0vE4zK8VYqMQoy1c20a1WMTa8jLOnDmDjXwezx89ikQiAZelHcIwpGymXlJKhNQO3+GKoe2mmdV51WEYYm5+Hhc//xxBGOLY889jz+xsy+PJFwq4c+sWbt6+jQf37+P+V19hYWEBQRjirTffxN/6W3+r7eH/f37v9/Dhhx/i1KlT+Ht/9++KY7EdB9VKRXzOMAzoEemRoIUxqMeWwTyRPpCOfg5KpbWZcilPZ6maRtlNzPiMjo5iaHQUA0NDTdlUMZ5txHc9Rluoug5V15EaHMTQxAS+/+d/jouXLuHokSOYmZmhoy6ZcfA8j0o7aBrl7tdFARx80RcTwaJpIqCz3DnrfQg9Dw8ePsTNmzexsrKC8fFx7D9wAAO5HAgh+PYf/iG+/Ud/hH/zP//PGI7OpCYEv/IrvwIAVNDONMVQoG5w6sUX8eGHH+LypUtwXBeaqoKwCEpVVVQrFThsrkCVqdk2Sn01Q8PjaWboGkUuLDLgMtYAFawjoEKARJYxMjyMPbOzSHTQnBbj2UZsFGJ0DEmSkM7l8NM///P4/l/8BT755BPcuXcPB/fvx65duwQriOfWxbjKLiMHXtRs50VXSiXcuXsXd+/ehW3bGBoawltvvYVMJgPbtlsydeq3r6oqctkscrkcPvv8866O94Vjx6AoCmzHwRdXruDEiRMAIEaCJpNJKLaNSrWKIAhgM2VRVVGgMcPRKprpNZgXxiDCYlIVBSAEruNAN02MTk5iZGwMAwMDO0Y1jvF0ITYKMboGIQQ/+VM/hecOHcKZH/8YP/z4Y2QTCTx34ACmZ2Yov55JS1iWBY1FDt2kIxpKRwNAEODhwgJu376NpcVFKIqCmd27MTs7iwzLfdu2DYCyeGr6A+qK1gDwrb/6VzE7O4vR0VGkkkk4rovPfv3Xu7oehq7j6NGj+Oz8eXx67hyOHT++Je+vahoyqip6AFzHgRcEcMtlKpynadB0fUv00Kre0AhhENA0keNsKqmyfgMCwPV9JJNJjO7ahWQ6jVQqRTWcYsRgiI1CjJ4xNTWFv/7f//dYX1/HRx99hHOffYZLX3yBvbt3Y3bvXmiaBo81ljm2LWY5i9RSCxBC50rz1Em1UsFdFhVUq1UMDAzgxVOnMDk1tanXz8CNj890hvgENB6B8AI1IQQ/93M/h2qlAsuyoDB5B57yEuM2G4j9cUPDjc6JEydw4fx5XDh3DsEv/uKmUGDdOamqSgfTmCZsx4HDRpHajgPLtqEqCpUgURShd9QJPM+DY9tizkJURwmSBD8IkM3lkB0YQCKVQoqxi+LoIEY9YqMQY9sYGBjAX/krfwXvvvsuzp07h7OffILrt29jZnISw4ODtCahKLRvIAhQrVahsqK0wtIZHL7vo1Qs0t6JYhF5xoDKF4uQZRnT09OY3bsXuWy26fHwOchhnRx3tEEM2PTCbcdBCCqSV61WN48n0lnczFfnPz916hT+13/377CxsYE7t29j7759La+ZJEm0l4KxuIRwnu/DZbpKnN0ULcJHZzwHvk8HA7HvckYWL9xL7LPZwUFkBgaQTCaRbDdrIsbXHrFRiNE3mKaJt956C6+//jouX76MTz/5BHcuXULo+3RBY8qiCdNEgvH3DV1HwBqoSuUyKtWq8L51XUcqmcTA4CD27t+PqcnJxp3CDaCpKlUpZZ3GzSQmbOapS7K8LW2ngVwO+/fvx42bN3Hu/Pm2RoGjJnrw/Zr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      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from qutip import *\n",
    "from qutip.qip.circuit import QubitCircuit, Gate\n",
    "from qutip.qip.operations import gate_sequence_product\n",
    "\n",
    "def buildQC(*gates):\n",
    "    arg=gates[0]\n",
    "    qc = QubitCircuit(N=1)\n",
    "    typ=type((1,1))\n",
    "    for x in arg:\n",
    "        if(type(x)==typ):\n",
    "            y=(convertSyntax_myQLM_to_quTiP(x[0]),x[1])\n",
    "        else:\n",
    "            y=convertSyntax_myQLM_to_quTiP(x)\n",
    "        if(type(y)==typ):\n",
    "            qc.add_gate(y[0],targets=0,arg_value=y[1])\n",
    "        else:\n",
    "            qc.add_gate(y,targets=0)\n",
    "    return(gate_sequence_product(qc.propagators()).full())\n",
    "\n",
    "from qat.lang import Program,X,Y,Z,RX,RY,RZ,T,S,PH,H,I\n",
    "from qat.lang.AQASM import *\n",
    "\n",
    "GateInit = AbstractGate(\"Initialisation\",[])\n",
    "\n",
    "def afficheCircuitmyQLM(*arg):\n",
    "    gates=arg[0]\n",
    "    prog=Program()\n",
    "    qreg=prog.qalloc(1)\n",
    "    typ=type((1,1))\n",
    "    prog.apply(GateInit(),qreg)\n",
    "    for x in gates:\n",
    "        if(type(x)==typ):\n",
    "            prog.apply(eval(x[0])(x[1]),qreg)\n",
    "        else:\n",
    "            prog.apply(eval(x[0]),qreg)\n",
    "    prog.to_circ().display()\n",
    "\n",
    "def convertSyntax_myQLM_to_quTiP(gateName):\n",
    "    match gateName:\n",
    "        case \"H\":\n",
    "            return(\"SNOT\")\n",
    "        case \"X\":\n",
    "            return((\"RX\",np.pi))\n",
    "        case \"Y\":\n",
    "            return((\"RY\",np.pi))\n",
    "        case \"Z\":\n",
    "            return((\"RZ\",np.pi))\n",
    "        case \"PH\":\n",
    "            return(\"PHASEGATE\")\n",
    "        case \"S\":\n",
    "            return((\"PHASEGATE\",np.pi/2))\n",
    "        case \"T\":\n",
    "            return((\"PHASEGATE\",np.pi/4))\n",
    "    return(gateName)\n",
    "\n",
    "def plotKetBloch(ket):\n",
    "    fig=plt.figure()\n",
    "    ax=fig.add_subplot(111,projection=\"3d\")\n",
    "    sphere=Bloch(axes=ax)\n",
    "    sphere.add_states(ket)\n",
    "    sphere.show()\n",
    "\n",
    "def boiteNoire(gates,amplitudeEtat0=1,amplitudeEtat1=0):\n",
    "    etatInitial=np.array([[amplitudeEtat0],[amplitudeEtat1]])\n",
    "    print(\"Nous affichons ici en quatre temps :\")\n",
    "    print(\"- le circuit quantique appliqué, précédé d'une porte quelconque \\\"Initialisation\\\" plaçant le qubit dans l'état initial précisé ;\")\n",
    "    print(\"- les représentations matricielles des kets initiaux et finaux (tous deux normalisés), et la matrice du circuit quantique complet ;\")\n",
    "    print(\"- l'état initial du qubit sur la sphère de Bloch ;\")\n",
    "    print(\"- l'état final du qubit sur la sphère de Bloch.\")\n",
    "    QCmatrix=buildQC(gates)\n",
    "    etatInitial=etatInitial/np.sqrt(np.real(etatInitial[0]*np.conjugate(etatInitial[0])+etatInitial[1]*np.conjugate(etatInitial[1])))\n",
    "    etatFinal=np.dot(QCmatrix,etatInitial)\n",
    "    afficheCircuitmyQLM(gates)\n",
    "    print(\"Etat initial :\\n\",etatInitial,\"\\n\\nMatrice du circuit quantique :\\n\",QCmatrix,\"\\n\\nEtat final :\\n\",etatFinal)\n",
    "    print(\"\\nNous affichons ensuite l'état initial et l'état final sur la sphère de Bloch\\n\")\n",
    "    spinInit=Qobj(etatInitial)\n",
    "    spinFinal=Qobj(etatFinal)\n",
    "    plotKetBloch(spinInit)\n",
    "    plotKetBloch(spinFinal)\n",
    "\n",
    "##Definition de l'état initial :\n",
    "amplitudeEtat0=1+0j\n",
    "amplitudeEtat1=0+0j\n",
    "##Definition du circuit quantique :\n",
    "# Celui-ci est définit comme un tuple de string et de tuples (string,float) pour les portes demandant des arguments\n",
    "# Le format final est donc : (\"gate1\",(\"gate2\",argument),\"gate3\",...,\"gateN\")\n",
    "circuitQuantique=(\"H\",\"T\",\"H\",(\"RX\",np.pi/8),(\"PH\",np.pi/16))\n",
    "#Boîte noire pour le traitement et l'affichage des données et résultats :\n",
    "boiteNoire(gates=circuitQuantique,amplitudeEtat0=amplitudeEtat0,amplitudeEtat1=amplitudeEtat1)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2be34d20-2763-404e-8e7d-b59986555ad9",
   "metadata": {},
   "source": [
    "Les lecteurs les plus attentifs auront remarqués que ce programme se sert conjointement de deux librairies différentes :\n",
    "- QuTiP : pour le calcul des matrices de circuits quantiques et l'affichage des sphères de Bloch ;\n",
    "- myQLM : pour l'affichage des circuits quantiques.\n",
    "\n",
    "Ces deux librairies ne sont pas conçues pour travailler ensemble, ce qui a demandé un travail supplémentaire en code. Cependant, nous avons montré qu'à leur manière, chacune permet d'aborder les circuits quantiques.\n",
    "\n",
    "Par la suite dans ce jupyter notebook, et dans le module QCpy, nous nous servirons de myqlm.\n",
    "\n",
    "#### Comment prévoir le résultat d'un circuit quantique ?\n",
    "\n",
    "Pour prévoir le résultat d'un circuit quantique, il suffit de prendre une à une toutes les opérations agissant sur celui-ci et de calculer en conséquence l'évolution de la superposition d'états du système. Lorsqu'une mesure ou un phénomène extérieur rentre en jeu, il faut prendre en compte tous les cas possibles.\n",
    "\n",
    "Pour illustrer cette méthode, reprenons notre exemple précédent :\n",
    "\n",
    "![circuit_paire_bell.png](QCpy-additionalFiles/illustrations/circ_paire_bell.png)\n",
    "\n",
    "Prenons étape par étape l'état du système :\n",
    "1) initialement nous avons $\\ket{\\psi}=\\ket{00}$\n",
    "2) la porte de Hadamard (H) a pour effet de transformer l'état d'un qubit donné : $\\ket{0}\\Rightarrow\\dfrac{1}{\\sqrt{2}}\\left(\\ket{0}+\\ket{1}\\right)$\n",
    "\n",
    "   cela donne donc sur notre système : $\\ket{\\psi}=\\dfrac{1}{\\sqrt{2}}\\left(\\ket{00}+\\ket{10}\\right)$\n",
    "3) la porte CNOT consiste à appliquer une porte X (rotation autour de l'axe X à 180°) sur un qubit (marqué du cercle barré) en fonction de l'état d'un autre qubit (marqué du point noir). Si l'état du qubit de contrôle est $\\ket{0}$, rien n'est fait ; si l'état est $\\ket{1}$, alors l'opération s'appliquer.\n",
    "\n",
    "   L'état devient alors : $\\ket{\\psi}=\\dfrac{1}{\\sqrt{2}}\\left(\\ket{00}+\\ket{11}\\right)$\n",
    "\n",
    "<div class=\"alert alert-block alert-success\">\n",
    "<b>Remarque :</b> on retrouve bien là un exemple typique d'intrication entre deux qubits !\n",
    "</div>\n",
    "\n",
    "4) finalement, on mesure l'état de nos deux qubits. On a alors deux cas possibles : soit 1 et 1, soit 0 et 0 ; à probabilités égales.\n",
    "\n",
    "Via la librairie myqlm, nous pouvons reconstruire ce circuit, et retrouver le même résultat :"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "8016dcd4-5169-4518-80b5-46cf26b9ddd0",
   "metadata": {},
   "outputs": [
    {
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      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "prog=Program() #on instancie un objet de la classe Program\n",
    "qbits=prog.qalloc(2) #on alloue la mémoire pour 2 qbits\n",
    "H(qbits[0]) #on travaille sur un tableau de qbits au lieu des indices directement\n",
    "CNOT(qbits[0],qbits[1])\n",
    "prog.measure(qbits)\n",
    "\n",
    "circ=prog.to_circ() #on compile le programme dans un circuit pour pouvoir ensuite s'en servir\n",
    "circ.display() #on affiche le circuit en question"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "364d1038-9923-4fbe-ad13-b31b49a23eea",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Mesure n°1 : |11>\n",
      "Mesure n°2 : |11>\n",
      "Mesure n°3 : |00>\n",
      "Mesure n°4 : |11>\n",
      "Mesure n°5 : |11>\n",
      "Mesure n°6 : |11>\n",
      "Mesure n°7 : |00>\n",
      "Mesure n°8 : |00>\n",
      "Mesure n°9 : |00>\n",
      "Mesure n°10 : |00>\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/matthieu/Python3/TipQLM/lib/python3.11/site-packages/qat/pylinalg/service.py:172: FutureWarning: Option aggregate_data of your job is True, discarding intermediate measures\n",
      "  result = aggregate_data(result)\n"
     ]
    }
   ],
   "source": [
    "from qat.qpus import PyLinalg\n",
    "##on lance N fois la mesure de l'état du système :\n",
    "N=10\n",
    "qpu=PyLinalg()\n",
    "for i in range(N):\n",
    "    results=qpu.submit(circ.to_job(nbshots=1))\n",
    "    print(\"Mesure n°\"+str(i+1),\":\",results[0].state)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "77e7803c-b56e-4866-919e-fcce000a89a9",
   "metadata": {},
   "source": [
    "## Conclusion\n",
    "\n",
    "Dans ce jupyter notebook introductif, nous avons appris les fondamentaux de l'informatique quantique. \n",
    "\n",
    "Il existe de nombreux points que nous n'avons pas abordé : détail des technologies hardware ; alternatives à la programmation en portes (quantum annealing...) ; applications concrètes... Mais vous possédez maintenant les clés de compréhension pour vous permettre d'explorer cette nouvelle discipline."
   ]
  }
 ],
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