{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "3d22f9ad-4990-43fb-9b79-cd2c03883b2a",
   "metadata": {},
   "source": [
    "# Simulation de variables aléatoires\n",
    "\n",
    "## Notebook jupyter\n",
    "Le notebook est un document interactif, qui permet de mélanger du texte et des lignes de code (pour nous, c'est du code `python`). Il est possible d'exécuter le code, de le modifier, et d'ajouter (ou de supprimer) des cellules de code ou de commentaire. Vous avez la possibilité d'enregistrer les modifications par le bouton correspondant dans la barre à outils en haut. \n",
    "\n",
    "Pour lire ou éditer un notebook (fichier au format .ipynb) vous pouvez utiliser deux environnements qui s'ouvrent dans un navigateur web: \n",
    "\n",
    "- `jupyter notebook` la version classique qui ouvre un serveur sur l'adresse `http://localhost:8888/`\n",
    "- `jupyter lab` la version plus moderne avec du code javascript pour \"une IDE\" plus dynamique `http://localhost:8888/lab`\n",
    "\n",
    "Dans la cellule de code suivante, vous voyez des instructions en `python`. Pour les exécuter, il faut d'abord cliquer dans la cellule pour la sélectionner, puis faire `Shift+Enter`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "6b5cb3c9-d75d-45a2-9b38-6d23db106605",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "20"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "x = 17\n",
    "x      # pour afficher la valeur de x on utilise print(x)\n",
    "y = x + 3\n",
    "y      # la dernière instruction est renvoyée, pour éviter l'affichage on peut mettre un ; à la fin: y; "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2cc77fce-ae6f-46e1-832d-973f4a208b03",
   "metadata": {
    "tags": []
   },
   "source": [
    "Les variables `x` et `y` sont désormais définies. Dans la suite, vous pouvez les utiliser et travailler avec. Autrement dit, les notebooks sont un moyen pour excécuter du code progressivement. \n",
    "Exécuter la cellule suivante pour calculer le carré de `y`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "0636fb2d-ff25-416e-93eb-1508df57d497",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "y = y**2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "bffd550c-8cb0-4d71-8373-527328000fe4",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "400"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "y"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "43b7bcd0-660b-4a5d-9a05-daec70485e81",
   "metadata": {},
   "source": [
    "Au fur et à mesure que vous exécutez des cellules de code, vous voyez apparaître des numéros entre crochets à gauche de la cellule. Ces numéros vous aident à garder une trace de l'ordre dans lequel vous exécutez les cellules. Juste pour voir, revenez à la première cellule de code et modifiez la valeur de `y`. Puis, réexécutez la cellule. Cela change la sortie de la première cellule, mais pas de la deuxième (alors que la valeur de `y` a changé). Les numéros entre crochets vous permettent donc de vous répérer plus facilement.\n",
    "\n",
    "Parfois, quand on vient d'exécuter plein de cellules, on perd un peu le contrôle, et on ne sait plus quelles sont les valeurs actuelles des différentes variables. Dans ce cas, il vaut mieux de reprendre à zéro. Pour cela, sélectionnez **Kernel** en haut de la page et choissisez **Restart**. Vous pouvez observer que tous les numéros entre crochets disparaissent ainsi que toutes les sorties en-dessous des cellules de code. Un **Restart** du **Kernel** revient alors à supprimer tous les objets créés.\n",
    "\n",
    "Vous pouvez modifier un notebook comme bon vous semble. Par exemple pour ajouter une cellule, cliquer sur le symbole **+** dans la barre à outils. Cela crée une nouvelle cellule juste en-dessous de la dernière cellule sélectionnée. Par défaut, il s'agit d'une cellule de code dans laquelle vous pouvez écrire des instructions en `python`. Si la nouvelle cellule doit contenir du texte, il suffit de modifier son type par le menu déroulant en changeant **Code** en **Markdown**. Le **Markdown** permet d'écrire du texte, le formatage est très simple. Si cela vous intéresse, double-cliquez sur les cellules de type **Markdown** dans ce notebook pour voir comment ajouter un titre, mettre du texte **en gras** ou *en italique*, créer une liste etc. N'oubliez pas qu'il faut aussi exécuter les cellules **Markdown** en appuyant sur la flèche vers la droite dans la barre à outils."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "0d6df987-a11e-40ec-b640-dd80926fcba1",
   "metadata": {
    "attributes": {
     "classes": [],
     "eval": "FALSE",
     "id": ""
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "400"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "x <- 17\n",
    "x\n",
    "y <- x + 3\n",
    "y"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "89f1ed13-aeb9-4f25-872e-fc540d6c1aec",
   "metadata": {},
   "source": [
    "Pour des rappels sur le langage `python` et sur le module `numpy` nous renvoyons sur les pages suivantes:\n",
    "\n",
    "- [rappels python](https://perso.lpsm.paris/~vlemaire/4ma074/tp/outils/bases_python.html): parcourir rapidement cette page pour se rafraichir la mémoire sur python\n",
    "- [numpy array](https://perso.lpsm.paris/~vlemaire/4ma074/tp/outils/numpy.html): structure de donnée que l'on utilisera tout au long de ce cours: **à connaitre rapidement!** \n",
    "\n",
    "Dans la cellule suivante, on charge les modules que l'on utilisera pendant ces séances de TP. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "ffd70230-5922-4067-a67f-f9747f4b2f71",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "from scipy import stats\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns # pour des jolis plot\n",
    "sns.set_theme() "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "203a42cd-983a-44c9-9338-3cd70c49c3f7",
   "metadata": {},
   "source": [
    "## Nombres pseudo-aléatoires\n",
    "\n",
    "Depuis la version 1.17 de `numpy` en juillet 2019, le module `random` a évolué. Vous trouverez encore beaucoup de code sur internet ou dans des livres qui n'utilisent pas la nouvelle syntaxe de ce module, mais dans ce cours nous utiliserons cette nouvelle syntaxe. La différence majeure (en dehors des algorithmes utilisés en interne) est l'utilisation d'un **objet** que nous appelerons `rng` de type `Generator` qui correspond au générateur de nombres pseudo-aléatoires. Pour simuler une loi classique on fera appel à **une méthode**. \n",
    "\n",
    "Par défaut, l'algorithme utilisé est le `PCG64` à la différence du Mersenne-Twister qui était le standard auparavant. \n",
    "\n",
    "Exécuter les commandes suivantes."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "29e5839c-7d26-41f5-b365-08c93425a9d9",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Le type de l'objet rng est:  Generator(PCG64)\n",
      "Les méthodes utilisables avec l'objet rng sont:\n",
      " ['__class__', '__delattr__', '__dir__', '__doc__', '__eq__', '__format__', '__ge__', '__getattribute__', '__getstate__', '__gt__', '__hash__', '__init__', '__init_subclass__', '__le__', '__lt__', '__ne__', '__new__', '__reduce__', '__reduce_ex__', '__repr__', '__setattr__', '__setstate__', '__sizeof__', '__str__', '__subclasshook__', '_bit_generator', '_poisson_lam_max', 'beta', 'binomial', 'bit_generator', 'bytes', 'chisquare', 'choice', 'dirichlet', 'exponential', 'f', 'gamma', 'geometric', 'gumbel', 'hypergeometric', 'integers', 'laplace', 'logistic', 'lognormal', 'logseries', 'multinomial', 'multivariate_hypergeometric', 'multivariate_normal', 'negative_binomial', 'noncentral_chisquare', 'noncentral_f', 'normal', 'pareto', 'permutation', 'permuted', 'poisson', 'power', 'random', 'rayleigh', 'shuffle', 'spawn', 'standard_cauchy', 'standard_exponential', 'standard_gamma', 'standard_normal', 'standard_t', 'triangular', 'uniform', 'vonmises', 'wald', 'weibull', 'zipf']\n"
     ]
    }
   ],
   "source": [
    "import numpy as np\n",
    "from numpy.random import default_rng\n",
    "\n",
    "rng = default_rng()\n",
    "print(\"Le type de l'objet rng est: \", rng)\n",
    "print(\"Les méthodes utilisables avec l'objet rng sont:\\n\", dir(rng))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "088f068a-b3d8-435a-b8f2-b7f93dc01e0d",
   "metadata": {},
   "source": [
    "L'objet `rng` est défini une fois pour toute et tout l'aléatoire de notre code se fera par des appels à des méthodes de cet objet. C'est un peu comme si on fixait un espace de probabilité $(\\Omega, \\mathcal{A}, \\mathbf{P})$ (notre espace de simulation) et que l'on construisait toutes les variables aléatoires sur cet espace.\n",
    "\n",
    "Vérifions tout d'abord que les nombres pseudo-aléatoires produits $(X_1, \\dots, X_n)$ sont uniforméments répartis et qu'il y a indépendance entre 2 tirages $X_k$ et $X_{k+1}$ pour $k=1,\\dots,n-1$. On fait cette vérification uniquement visuellement en traçant l'histogramme de l'échantillon $(X_1, \\dots, X_n)$ et le nuage de points des paires adjacentes $(X_k, X_{k+1})_{k=1,\\dots,n-1}$ (ce nuage doit remplir uniformément le carré unité $[0,1]\\times[0,1]$).\n",
    "\n",
    "Voici le graphique obtenu avec un échantillon de taille $n = 100\\,000$.\n",
    "\n",
    "![](img/pseudo_alea.png)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "daeadd7f-1b75-4b38-b6ad-f561c7cc88db",
   "metadata": {
    "tags": [
     "question"
    ]
   },
   "source": [
    "### Question: `rng.random`\n",
    "Lire la documentation de la fonction `rng.random`. Construire un échantillon `sample` de taille `100000`. Reproduire le graphe de l'histogramme de `sample` et des paires adjacentes ci-dessus (le nombre de `bins` pour l'histogramme est 20 et la taille d'un point est `s=0.5` de transparence `alpha=0.2`)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "aabba307-8189-43c1-a5f9-be156a556a91",
   "metadata": {
    "tags": [
     "correction"
    ]
   },
   "outputs": [],
   "source": [
    "#?rng.random\n",
    "size = 100000\n",
    "sample = rng.random(size=size)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "2bdf38a0-e124-49aa-b3fb-f04f5e304fa7",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0.52052888, 0.07498209, 0.55250619, ..., 0.17577241, 0.88433058,\n",
       "       0.11341135], shape=(100000,))"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sample"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "f73a8209-9b19-47b3-8f2d-8009cd323a6d",
   "metadata": {
    "tags": [
     "correction"
    ]
   },
   "outputs": [
    {
     "data": {
      "image/png": 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JX1OYdmG6ZhiGYRibBRsVoeFOizgJpI1lmLkMKxAMwzAMwzAMwzjDQdQMwzAMwzAMwzjDCgTDMAzDMAzDMM6wAsEwDMMwDMMwjDOHRBYmhHlMT0cL9aioyEQ+92DlUBszj/fPn0NtzFHHi/PCih4ejPAzwJ1DbbyH4pgPtfEeimOuKMMz4JBQIDCJ3d1D3udVVVVQW1sj9fcP0+RkrmT8nzuH2ph5vH/+HGpjjjPe9vZGqqz881Mg+BngxqE23kNxzIfaeA/FMVeV6RnALkwMwzAMwzAMwzjDCgTDMAzDMAzDMM6wAsEwDMMwDMMwjDOsQDAMwzAMwzAM4wwrEAzDMAzDMAzDOMMKBMMwDMMwDMMwzrACwTAMwzAMwzCMM6xAMAzDMAzDMAzjDCsQDMMwTFn4yle+Qm95y1sCj+np6aH3ve99dOqpp9Jpp51GH//4x2lkZKRsfWQYhmHCOSQqUTMMwzCzy3e+8x367//+bzrllFMCj7vsssuEwnDDDTdQf38/ffjDH6bh4WH6j//4j7L1lWEYhgmGFQiGYRgmNfbu3Uv/+q//Shs3bqTDDz888NiHHnqI7r33Xrr99ttp1apV4rVPfOITdMkll9B73/teWrRoUZl6zTAMwwTBLkwMwzBMajz22GNUXV1NP/rRj+j4448PPPb++++nBQsWFJQHADemTCZDDzzwQBl6yzAMw7jAFgiGIaLKymi69PR0VvxjGMbMueeeK/65WisWL15c9FpNTQ3NmzePdu/eHasfVVUVkb4Xnn6+h2748WPU1T9KgyMTtGppCz22tZuOPaKdNj/XKz7/HS111NZcRxduyCk+37rjSTrQO0qvf8mRtP64JbR1Vz/d8pst4j0cc8SSlpLXwB0bn6PzT1+eb2Mz7e0eptamGmrPt43zAM7Fsd2DI7R5ex+1NdfSOScuod//aTddcM4RtHR+U6HtM9Ytok1bukW7+vnyWjh2eGySMkTU0lRDpx2zkH5+3w460DdCLz5pKe3tGlH6NTM28P27thauqbap/75uVTvds2mvuM7Y+CQNDE9Y50f2qXtglLr7R6kik6E3nbe6cA209asHdhb1D6/d/sfttPvAkDi/oa6KRsYmqaa6ki4+f03RnKxa1kK/fnAn1VRViHtaVVlBbz5vNXW2Nxau2zc4RvW1VeL9iooMvfTUw+jRLd2Fa+L3vd1DtKi9kd5y/pqiuZXzSZSlhtrqwj1AH/FzUUe9uFdnHb+40He8XlNTQfds2kNnrOuk8fFpcdwv7ttBWcrSKUcvpAee3E/DYxM0PU1UVZmhRe0NVFdTRaPjk2KewJL5TXTuyUvpVw/soD1dwzSvubawfsCd9z1HF71kNQ0NjdHtf9heuLZcH797ZBfd/KtnaH5rvWhHvrfzwGDhXuOeSUxrybam9XXQUFtVdL/1ezM+OU2vP3dmneEzh88e5u3RLV20p3tY3LPceHPr4YSj5tPDTx8oOr+yIkPf/eUz4nOK6//8vucpQxl640uPKlq38nOpjwfroXdwjDrbG2jZwiZxj15+5gp63dmr6NbfbqHb/rCdGuuqaGJqWhzzlvOPLnxW0Md5TTP3QK4ToM815qVnYFR8Nl58cm5dYw38+oGd1NRQTXU1lUSUEfOmf65lvzG+x7Z1i3u8qLWO0iSTzWb/7KWfqalp6u7Ofan4PnDa2hqpp2eIJienvc/Hlw7+HUyCadwxH2xUV1dSS0t95PuEtdXbO3zQKBGH2v09FMccZ7zt7Y2RlWkXPvjBD9LOnTvpW9/6lvF9xDs8++yzIl5CZcOGDfT617+e3vWud0W6Lh5zsGL4AuXh09+4j/b1uAVxQ1CZUr4L8PeRh7XSrv1DQigA+Ko5bFET1dVW0+btPQVh9+gVbULwOeqwVtq2s18IPyoQGE8+ehE9uHmfaHd0fKrofbQrL632o6G2kobHpsT7p67tpMe3dQnBenIKc0JUW11Z0hYE6smp3PVxDKQEzJ76LYfXIdjjOvi9qb6GBkfGhbCEtgeGx0U79bWVQgiHID+mXQdtLupooAO9I+Ic2zyWzjNRvntiXuSxNmmmtqaSDl/cUphvExA4cZy8T6XXnLmOFE4l55y4TJz783u3i+PUsQAIfphjOYdyTmWbGIN+Thz0ewVwL2qqMmItNDdUi2cXfse18fxaf8Iyev/FJ9PffOxn1DMwJs6BYorfcS5aRB/xrPz/3nACHbaomb7y/UcKaxXHAnkurjE0MiHWZGNtFS3rbDbO/0lrFtC2Xf2F8+TcSKqrKoSShPVUWIvaMUGgXzmldarkc4J5am6oof7hcXH/TjhqAd37+B7RNs5raaym7XsGi9rTz88artkp1vRo4TMkWdhWTyesXkh3PbRDrBn8lP2Sc62Oe2Jy2jpWtHWgb1T0eWh0nLbs6BP3B+1A2Vkwr54++NZT6ajD2mjOWCCwQ3T22WeXvP7v//7v9LrXvY6eeOIJ+tSnPkWbNm2i9vZ2etvb3kZ/8zd/UzhuenqavvjFL9L//d//0cDAgMi08dGPfpQOO+ywwjFhbRwM4EM2b15D5IfxwSaYJsFsKFzymp/9zgO0Y++A17nLFjXT+998sji/3Pcp6lylKRwyTFzq6upofHy85PWxsTFqaGiI3C4+n/39w97nfe+XTzkrD0AXevH35u29xX3JkhBKmuqrC68Nj07SE892C2H7qe29RqEEwsHGx/aI300irnpptR8jYzkBBS/J8yUQTFTlAV8pULRUwUcKL3qf8PpU/k38gICH81UhCO0MDOfa0pUH2SZ2yXWClIfc+8XzEiaA49pBygOAEKwrbXqfIBTje7e2qoL29eZ2/CHgtTVX0w9+u63QHx05x1l9TvO/JKk8qNdRwb2YzN8CVUnCtasrM7T6sBZ6z3/9unD/aqorhGKLv9X1gM/SF//vT7R8UTNt2dlXeF2eJx9L6jWGxibpqefM8/+np/cX3U9dWIYQPTE5rs2b60wU9wunqUsLv0J5wHtYI+rnA+dBEFeRbajnm9DXNKaksb5KfJfcuXG7eE3+lPQPjZWM2zbW2uoKoWDg++KxbV1Fny30G9fb3zsivr/+/jXryAdsqLrKCd4KxJNPPkm1tbX0i1/8omhHp7m5WaTfe/vb3y7M1Ui99/DDD4ufjY2NdOGFF4rjrr32Wrrxxhvp05/+NHV2dtJnPvMZESD34x//WJiqXdo4GMCXDG7CwSaYHqoKF+6R+mU4l92f4s4VrhllN5Zh0gbPBDxbVKBQ9Pb20sKFC2O1HcX6dN6py+n+J/YFCpZRGR4tVgOkoB+Euvvpis/hou0YTgmz9biSAjgEq7Ur2uihZ7qMx9l2jF2BUIx7oD7RMV0/+l1OefBlcUejECrh+hIH3aLhy8RUln5w11ba35dTisD4xDQNWawxEG6f3d1vfM92eduysg0dY5rfWkf784qaK1CGMB7XfmHOmuurqXdoZuMCVjt85nXFDmOIsn6yUKJG4dJmx2cJ4N7s3G/3qhF9zOasFGla3b0ViKeeekpk0jB9mX/jG98QwXLImlFVVSUC4bZv305f/epXhfCPB8H1119P73//+4VJGlx99dW0fv16uvPOO+mVr3wl3XzzzYFtHGzEEUwPJQ5GhQu+pbgeNPZyKj1JzRUzt10RD0UrEyzSn/3sZ8V3/ooVK8RryMoETj755LL3B77FRyxtpSfzu9cmAV51MfBxrYiyLA6R/SSjkJdzDZoOnAN81h62KA8giekzXR+vqS5ddTUVNDoeLrgNjcLFJ76AB/97CKhRlAeJqjxIIFSr7mIqca5lQlq/ZLuYS8R6+IA1YlIeRHsVWB/Fr8EVrbWxpmTscO0yKZxxRpyNOV2wstXDlWtkwrkfiCV59QtXxrtwUJ98T9i8eXNRhgw9gwYyZkDwl5xxxhmieNCBAwdo165dNDQ0RGeeeWbh/ZaWFlq7di3dd999QoEIa2P+/Pn+o2QOGg4mhQsuCLPp/nQwzdXBymxZxg4VK9PU1BR1d3cLCzbcl5Cl6aSTTqLLL7+cPvaxj4n6D3Bxfe1rXzsrKVwRmKi6MZhuoyoYJBFRiF30sYlpo4AFP+3RsalEBOEkCbOMxN35h1DpIrDahEfJgtY6GhydEC5FvvcK55qEbKk0qi5dE5NujfcOlrrrRWFwJHh3Ow4xjSOhlgHd+iXdhJbNb6Dn9w85K+U4bkFrLe3pMVssdOUB14GbFtaDjXJ+zioV6xFck9TPOdYeYoh25hMEuKK6Sc4ZC0RbWxu9+c1vpm3btoldon/4h38QcRF79uyh1atXFx0vLRXIoIH3gZ5lA8fI98LaiKpARM3Aof6Mcm7cAN+o7chAI1/kjmfUa0NwiRKXP1vzFWVdzLb7UxJzhfucxNgPBuJ+juNae7AuoUiU+7q4v3M9Rwa+01/ykpcUYuig9CBGDm6rb33rW4W77Mte9jL60Ic+NCv9Q1YTk49+mmAOqisrhFuLKpjjp4ub02xgk+1XLWmhHfsHixQiVZnA+PBdpLuKQIlC4G6Y24cPS+c30t++4hi6/rYnSgSx1sZq6h8K3tltaawRwbh6n0wfsaR352eTjmYEGU8UCf++CmHGY07kYVAe5O8urnu4DzblwXadMMUrruIbhmwf40N8jVQoxyeKP+fItoWMb74g89OcUSAmJydp69atdOSRR4psGk1NTXTbbbfRO97xDvr6179Oo6OjIo5BBQ8AGQSH6qLAdExfX04AC2sjCviCQlaSqER1UYnrGtPUFP3m48MKjTbquVGvjX6X2z0mifmaLcq9tiQH41zN5lzHURJn67pz8R4j9k1l2bJlwqqt0tHRQddccw3NBZAS8U9bDogg5zTAV2VlRQVVVeUskRC04V8uMxtBaHXZpY4SG1EOtu8dKFIOpKuNpKWhxrgDjN3i6prkNjigkEBpuOob9xvf7xuy70JLtuzqF+2kNf/YdQ5TEKEEwSLmo1hJF6SmuioajLCOuwbGE4nDCdrLKHIDzGeMWtJRT9v35RS9pNZ2Jn8t1/aiXLYib0Fx2buRh6A/6udc329CYHSUOBmZIndOKBBwK0I10crKSmFuBuvWraOnn36arrvuOmMGDSn0I4OGPAfHyN/lMfX1uYdsWBvlzMCBHUA8/AcHRyO5IER9gMdxjQEnHb2Q/uYv10Y6P865x6xsp0tf8wIqN3HmS4633EilZ7aUrTjXxW76wMCo9+42dlabm+tiuQNFue5sfY4l/f0jkSwQcZVLjHdC28lKMgPHoQDyrI+OTYrvGAQ9Jy2ko73pqWnCbcInsqkedQdyQh6WeZ8S2BkkVPq6NtjA9SGcJmW40i0LKxe30KZt3YW/1cBVFQhLtvdc0NN9mlzComBrB/cxzEUntG1DWl7ZtmRP9xAd3tkilBkT8Oc/YnGzFkSe2+eOG6gtSUNRLXIDzN//HQf8ZDbca8Q0BN1rtF1VUSE+cybmNdaI7Eaqq1pbUw31eLiaTXvOj4uLVpTPd0fKNSAiuTAhG5LOUUcdRb///e9FBo19+/YVvSf/hv8qLBjyteXLc0U65N9r1qwRv4e1EZUokegQeGZzZzvq7iMKnUQ9P+65synIxxnvoaL0xFVOpXsMhHjfzxRcauK65US57mx/jqE8zEb9CYz5UKh7kbYF4oHN+0Qdg7QRmVpGcsXc9HSfQaDAXRRM7hlQXmT++aTBDvvenmFjPQk5Tum6FdRn6ZorBTXhL67FNMi6FVH9T9TaF8sXNhZ2wnXU3XgX5UHW5AgTPDEPUOZ0wRVT89zegcI8QXlEoTJYrDAPF21YRT/QMkJJ1yFVsM55JyCuhJxI25XHhK8bGO4X6kWMTQQL+3ptBpW+4XGR+UlFFlg09SYTwZVLPz4NL1PsAfX0jwoXzEtftXZuKBCwNLzhDW+gL33pS3T66acXXke9Brg1HXPMMXTTTTeJwDhYKcA999xDK1euFGZpBMrB7QlWDKlA9Pf30+OPP04XX3xxIQtHUBvlJE6NgNna2Z4LHEyC/KE6V7MZgF3ua/PnmIljgUgjhauNrKOwaaox4OtaYjs0DeUBwD3H6KKTnen7vKacS5PNlUe6hqgG1KBjo6LWvtjVZa8DEjTfJouELOgXdp+gHNh2vXNtZoU7GBRbtYjejb94qmg+dNegGcUUta3taV/RR7iXwQqUpvIQ12qj97mzrT7Uahd0NcyVnjY2yKJRZeh/kCsagraTsoYFAR0JzzxUsU4TLwUC2ZeOOOIIkWIVQW4IpkbaVdRquOWWW4SA/7WvfU1UE0Vth0ceeYRuuOEGcSxAbAMUBaTpQ4G4pUuXijoQsDqcd9554hikag1qYzZggZhhDn74c8xEsUBs2tYldi0hSIUJ9GE76D64KA+ocFxXXSl2TuE3HlXZca0foFdgdiFMAFX9xUfGJ50CxeO40UBoxVhdc/pHvZ82wTgpFyAojlPTMzENYxOlmaV01yC9D1AjTNmlZFpa/bwo2NLAgqSUB9nnzTvibUz5pGG29X8uWH0zeQv07/+0e+6kca2oqKAvf/nL9LnPfY7e8573COsBUrAigFpmToLwjyrSF1xwAS1YsICuuOIK8bvksssuE65MV155pQiYhsUB8ROo/QCkEhLUBsMws8tsZY+K0sZs17yYrblikrFAqBV1fYVNtTYAMhIhUFJ3OfIVWlQ6WuoK/tFxLCUuykMm4jV8hoY8964pSRfMq6MDvaPG9vHpmTYoMBlF6HMJWnYlqV16KGhYC+o6sil3+mvqGtL99m39QxNQHkzv+/j9B+Fby2E2wRxiE6C6KuNsLQpTKtS5RQE4H0z3xfQaKqOPKZ/NTAWC5qvpgnOOoDkVA4E0qki5Z+O4446j7373u9b34Zb0gQ98QPyL2gbDMLND3OJ5B9t1D7U+M8Wcf/py8WDesbef9jlWxIXuh5ztEE4hkBxzeJt4fW/3MPUMlAprcXygbcGV9TWVNKIF5cZVWHx8wOHagQBq32sd6BsVmY5wbqhSk81XKjbUZlDFNFsryLOfFNkElEGyKGhB8wBrCuYqa3Fr0/uXJFBs4JITpoRlU1LM5HumY+T6c3ltKj9/cp8JypvMPaFOvVqfxUdhzFp+j1x3BPNemSlyhVKVB9Fv8WeG1h+3ZG5VomYY5tDlYAz+nq04hoOxz0xpJepzTlpKn7+pOLFHEPAdx+6t9O9+ekcvzW+tNwoDaQHlYd3KdtrdNVxi8VjSMRN4KxUeCBw2BYGkoGYQjm0CUa5qdM5NyAccbvMRh4AHi4ucR7lzHkYV+iLjBBz6HoRuDcCcQFnDbjXu98K2BjrQNxLq5+67sy2Pl2tKpjqVtUL0eTYpjxCW0X9T31QLjUu3KiszdMzyNhoZm7RmhHJVaIOQgj2+R194bCfdt3lfQWEpxHMYztMVhYzhNf24sPuhWlKSVMgylvb07wt570W6Z4fFMzI2IQphLk/RDZcVCIZh/qyDv2c7juFg7DMzw9d+uKkgXOgpU03uJdL1Q7oyQGBD9qFyA+HuRS/opNv++GyRD/rurlyBLghmORerCprK79lDyESArTw+qqUkSICO6u6D6yMjTtFrLuclKO6Z3IZkrArut80iJCwF+bgLgADoAY/q0XqmJ/wv3ZzCZEmp+MGlBbEyNuVE/jTt1Otg1x7peOFy5XJ8FOUB/UFGMKyl6aksPfZsj1B+dYUFc4l1YVufnW11tBfWw5jLICh7kw+YL7gcDWmKUBgtjbVeGddwT275zRa6/PXHU1qwoy3DMAzDGMAOntzxhAvD7u7hIsHMubpuyHHwu04aCFo/urtYeRB9yc78xHuqvz3GY5OTohYmBciuJM+PKsfhPFMBtYxl/nB/cM/kePTuoz8uI9LPQ+wEhEAfMNerl7YW/vZRHuKCGByAjEomIXsmoDqnIPu6XIUpD1FpqKsqyggG4RmuWbBCoShe4bjaqkDlFtWpk0iVGtRExqMdzJdUHlzbw3rDZgCsiml8V0Rl7vSEYRiGYeYQyKOOnUfpRqEqAj5Cia4/wKUDch0KVyG4GgJ2mtgEHATbqgSNyTcvvwqCx1saqsVusSr86USRjeBOs7CtNM4IY7G5qEB5ENYWh/b1YUOI9VWmMHe2DEFR9DL4x7ue53rfMF+woKSlEEhkdqcwEEyvdx2F9KBIqBW1ewbHhFIHZitfRjbl9nBPfvyHZ+mJ7d3iMxQG1vaaFW2pV6JmBYJhGIZhLGlc8TCezruAoLiXKqREFVjGJ3MB1tgV3r53IPX4CLiCmLqaVKYdF3AtCI+q8Kfj4iUCd6CMJlwhpkN9LZPfTe9sbzAK38esaCtxs8oEXE9FVraGsuOiSOC4IKHZVS9Tm0C628UdftaCuQCE3/UvWBz5fNP6wP0/dc1CoYjb5rK5IZfl09dyFEZFGRUWrDuM36VCe04JzIoYrjRhBYJhGIZhLGlc5Y4shHy4D6hCivw950aTiSQI+ez4yp1WX+BqEneXVLdWSDqa3a0nrilag0AcgD4WUddB+Ru/Yzcd/zIGa8gFZx8hlEHg4lqFY3XrCO4hrhumROA4CH8uykbGYx5t8RblAuvdNKQgK9J0Nkt/2tJV8nouKNxPGlePvnvTHpHBywYCzqHE+ViOoGiGMe35ocIYodj6fFdEZdvOfuGCmSasQDAMwzCMJY2r9CE37dhDIBFZcBIuiqXu2EqhBz/KWaQK14OwIwVCW4XfroHyWTGioN8VqBp3PbRTxLZAkIN1ZkVnMy1d0ChiJnRwXyGw26wjuosQ7hdc08KOizuOtJRNG7rwLTICaZ3KjdsuHGPOTesoG2F+9KORUtZGz8BYwXLkSr8h4NyFTMAMFKxlrn5cEUHziB+BC2aasALBMAzDMAYefma/2DW10VxfnUiApg1kuZGiEuSruEqKj8sFhJxxmRA/wQrK5ei/aac5owhxv31ktxBYMZ+IaYBQd+mrjqW6GrfElCZFQ4J2O1rrnHzVdbIR1odJFsW6bG8O30GXyOmyzW+msBaDgXuNqgio7dldxHLtSkU9ilsQrtk7MOZ9HrIh2VADuF2pzsfVZEP6GvSdYmrTF6QuhmK8qCPdGkSsQDAMwzCMgdv+sD3wfZHZJoHr2DYkYfGImz1SuldBqPZRAiDowG3L5/oQrOtqktv5zrmdzPwdmrI0/xOpaHWCTh0bn6JPf+cB513nsJ3sHfsHRXagpPeZdcVIuKYZBjYwMlGUMSwMNTOXiWzEVKxqe7b5RxYwNR1yVEVVV65dFBFZH8QECral1Ye66krnbErLFzV7Z15CP7A2fv3gTkoTViAYhmEYxkCU7EiuftZFR2WDd7Vj+alX5ApQmVxEXHaVc+1UCHemsKFBsB6bmCrafTfJPpgjm0yEeZDny8BRV+QIowihqEydlDUJ8wDlK5tw4C3uoevpYamDXUH8h4vffpD1Igx9bSaRqMBF2QyyBKDWRVoMjk4WpU8O+twhyYLLsSZcP99RYQWCYRiGYQx0tucy3fjIMBCGILQHoRdTC6rAbMLVqwHuOkG+5dillAR1GQIMUmi6AJkMrk8zlojShpEdySQTZfKVvKPsdicNYghcAml9iSPXy3ibqESRxYdHJ6mrfyTUfS7IeqEig9d1hSRjaAvKZFquc8LVKBstbkQUYaRw4vYdn7s4aXXVz3casALBMAzDMAaQR/2kNQuMQhsEiOb6KqP7kbr7i4esvtseVyZylSmyAdlgMp7CDgR+V4FIxhZgB9WUXWdX15CoB6HPHZrHzn1Su+cqGc/dbAT8dkfwq3cFSqZvLK1pWuDrHoRq2bKl89XRhfnR8WQEUQjoY/m2dIVkfmtdyVigVGOOypUt1TVuBHOSjdC+noI4TVCI7/XnHpnqNViBYBiGYRgDOw8M0p+ePmB8L5uvKBzm9gJxCcG5abgoRQW7mkmJ6HBH0ovDSUEdO6jzW81F3uDGkWYAuk5dbaUQ/KDQJF2ELQibNUq4l2jNZ1x2vjN+wb6Y/9bGGiG8uqTzFVmEEpZy5RRAKbO546BvprGUc42EpcaN6k5VnVcc9BTEenNJVpmGFXDp/CZKk7nzjcYwDMMwc4ibf/VMIkLk0OhkoIuSjJuYpUK63kITLC8SzI9eHA5uSBLfegW4nlS2XAQ2+Oe7uJ5AeAUvWNlONdXJpjg1IaqXi91z8/qBlUUXJlcvay0R3lULDoTpV73wcK94g76hMREcru74B9VcwFFJG4DC2sN4UFwxqE9zAWnBySRQuwSor0F3iKLW25Q9bBJwGleGYRiGmQVMu+dRH+5qPQcd+ZqP+IBdf1mHwrUPUYU/vQ1YXoJwqZZrAuOpraksKFsugmzv4BiNh8SPqHP00DNdwr0qTTCO+toq0X9b/Kvun46hHugfMwqCarG7H9/9LC2cZ3a1MU1XfU2VyAhV2ibNGbKKgjfXUOcJ6zIsTatELjnh5qi9ZgLrJEq8A5RK/TsAn1fUNkEdmzSZQ0uIYRiGYeYO5568VPgSB7kmmIqG6e4XaqVdCJV6qtMoVg5YNZBFprIi+DGuFsKLSlpuJBntdwRXuwiS6nmTU9Oh82d6Oy1rD4Q59Af3RweKQNB1B0fGjZlz1PHhtz099qrLJgVreKy0L0GJfbBk4mSL8qWcbkq+2IL9VTBX+vdANn+/hZtjXhGZP6/OaV5dp15+tPX1jfnsj6jE+8AKBMMwDMMYuGfTXpGFJsg1wWW3Xc+yVFtdSSsW5jI8gTAlwNYmBIWwFI/1Neac865CYqpyZKZ4PGHuTtJ9pFFxofLJXlVoJxPsxhOVsFobUASyoWlww8ejx9MsmFdntTQJ9xkHAV1tE8fPhcKBelpkoYCVMajahj4109lc7Y0gxQ8f0/29o9Z5VcfkOvVB84Dq27f8ZgulCSsQDMMwDGNgeKxUKIgLHvrnnLCEeodm2g5TAiBDRXU5seacz4Zn8MkfVkRmFneepfvIYIgLlcSmIOUUr+Ql5CTiZVxAsLE6NAimUSxNa5a1zgS8x0z52VBbmYrVor25tqBECAUsYgaktuZaSpOpmPc+ytm2S0apXh0FViAYhmEYxoDJVz7ooeny2JZ+7H0eLgaqL32YG4wr3rUnKmbOMwmKPkKLGoSdJMI6obicHb+qI9HK2K6k7f6TyWRKLCgmARZ1LIICzDfv6CuqQh1WvySI4bGpQltqK75N6v3NVUOPH1wcZEl0pZwWu0rlYj5ziEMXtjfQSWsWijTUacIKBMMwDMMYGDS4JZhEbukDjVShLg/7OHuVYW4waaEqMB0tdSVuNJDxbHnu8ZrqI64HYUPYi5vmVhbnUwXFrbsHYgWRu/ZJz8xjk3ehzCBrVBwwHqyBKoP1SFcqegbHvIKTk6q/obaCoHifW4CAeJ+1YHNF061bqJCeBEHrqbqygmoMfVe/EzIRqo773BbhCrh/iLbt6qO0YQWCYRiGYQygEJMpqLWkOnA2l3kIwtpcDggNozKvAASFZECwwa6wbr3A62q6SllxGOC1oFgRzFmUWIaiNvLCXVZTAIOE4jCriWufMG8mwVGnrrqSuvpHxS572LWD3K+gxJky9uivxaliHIarYiY+Ex7nYx0hDTA+d3p9ERO+YwxKehCGsNKEVGwfy68ZdXzqEtR7q7YHN7Ci9wwXs10+k4+FkRYcxEBwGleGYRiGmQXWH7eEVi5t8apKmw0pCIW4A9XNphyo7hAAO7wmAXYqrwBMT/vHXKBYWZVyHdc4hSTJGITRIPcXnziIIGEWQqyLsgElCm5xuYJqwdcOUkSFshYzZkG1ioTpAhBKVy1pKVq3VRUVsdzDgsYHBRVpbidTiClBsDNcu1zRrSEh4UpF48t4pkmGG5hEBItnSpWfJRYLFmaqq2+04HaJfnMaV4ZhGIaZBbbu6qfn9w6WCONhbihBQdHIyX/y6gVFsQyZlHeDdSEaCkKYX7k6BF0BMYHd/qSDiFWFhDyEseI0r8n0SS+WFweXisPlMGRBAThyaauYMNtM4xY01VXTjv2DRe5hWONp19OA9chl7fmANdo76BZ/BIE9jmUsa3ldHRHGZ1LEoIDoaxcKKBQ525yIzYz8Kfh5xJLgzY+4sALBMAzDMAbgAqAHX2azWTp5zYLIgbIInr57055CLEOYy5ALyMDjI2hB+LPJ+rpPOYTdIMVAXjZKbAau9XevOIbWrWwvakti2oEOG2XULD3lBLUrbLEiJa+lGJCdnc7S8/sGhWXBNme4BdJlzavQoeLCJqty+wIrhLr2kpoKk4KfSbAgYhjqPGJ8sEi5zs/dm3Y7KepHLW+jtGEFgmEYhmEMrFvVXiJQ49n9o7ufjZUnXy8M5uoWEdReUrv/+q7ndDa4c+plVaHR9Vo3/PRJeur5XveA5dkuApAH3QiLj1FRFTxbNWPTaxDu8S9ukLmpH2OT00KhhTtUUhv9sn3VhQ1rJGx5ulibklIMRVpk7XKIYbGtrXKsuemAlKyqxUp+V4T16clnuyltWIFgGIZhGEshuTQDUYOEMBc3l/LEEbifGyXuAYoPdpqxwx0kZEr5Mo6eBN/3pOJPsg71O1SiKnhYB3AVihtkrgb8d2gxAMh8ZOqeLtO7KDFRximCwvPn4Rq4R3GCnZ3SImdL59kWl7GkozGyK1Um/zNqilzEypjWGfqktj8bNUlYgWAYhmGYOUQuo1EyQbK+zEX3H+z0uxS9CwOuOCNjfkpOxhBQLGVBVeBMq3hXz+B4kTAYVFQQvvRBciqEWGSMGtUKJAa5L6noSow6Zlw36gyo48M1IMz3DafjPuQb4wLFARXSowrk2bwVCa6PSYJsXkLpodmDFQiGYRiGMXDGukXOx/oWewo9JoY8ilPLYcBI6xq6LF5fW0XzW+sTuaavHJjVrtneXFfSBrqbRmXrsKKCOgjux1zpcwkhGGOANQ3uSkOjyQQ/yzFnEo49QexBmLwdR12DEuVKEjv5Q6OTiad3hlUqaJOhsS79AoqsQDAMwzCMgU1bup38kqMUewo9JobAERZXIQq7NdWI4OWzj1sc+TrqNZLcf9eHDj/9Pd1DQhAuh2Em50KWKfU7R5GuA0Mlx2OHOajic7mAUDmvqbbI3QYyfi5GJj3/fltMRxrImKQ4/Ua64rTJBLxX61BbJgysuSA3x+bGWkobViAYhmEYxhJE3dZc6+yXXC7iustAfOobHBdpHhF/kARpi2SY7ji7wXqmK1vmKwSCN9dXGy0KtquP5Gs7zDb7eka83W2S3Bk31RuBoHvikR3OMQRha1vGJPkshaBry7eSCiKvrswEZrWSwetBweNhY8vkM3kFxfPs6Rqm3z2yi9KEFQiGYRiGsVggUNFVxSRn+GTjkejZnXxIwl0GLdz2x+107xP7yp4+NIyizE4JBT2j9oVKc32NMf8+BFTX9J3S718X2NuaalItFoiNZ5NQnKRSm/FcA6Z6BlBOkAb5uX3uSo2+ttGuOlT0yUfYx+dsOkBLkt1CYHlcJaKjpY4+ePHJ9NcvOcr5nKC+mRDuYvlYEdM6VT8v379rK6UJKxAMwzAMYwCVXJsbqoteMz3uo+ziz0Z2Jx0Edq5c3GwUFE1yTdJFvcpVwM1Wc8FUzdmnOJpahVydGgQ+R1Eq41pjfAvv6WR0tyTHJSovC19/dS3Jz8X8ltqS4mmucUAYpzpU9MnH+oDPWdg4RPphz3ZNc4DA5n//9gP0o99vK1FibFmlosTkBPUBnxdYfrD+zjo+unuiC6xAMAzDMIwBuPgsXdAUq42Mb4B1plS4gfChv56EKA/hBVV5pRATZhWJ4kKENl13ssN8w4MIslSg1/U1lUVzht3bJDI7STLaIPtTzCKUi8EpnVS98J6P9QZrdL6W3tUvsDt3bV1Yx5+bd/QViiZCsMVUpR0HFEZGUxoP9I16t1GRD1AHtXnrCxQWZPuSQJivra5MpSidqUYN5a0TUN627OinNGEFgmEYhmEsNNTlLBAIklXz4Lt6ICF1pleAtXKsdI8ZGTdncfFVIkzHIxZABmOqVpEohctMMZ0QsGTfF8wLFlDhGx6kbNgUMWQfwhwFgTgFfQrf/NLV1OhZ/M5VuYKVIC03MLj5VDkoP+hRq2M9BShAw54pbn1BfyDYpmV9c7GQmeoyCCuFdpxLHZbpvOIUdF28D8tMVGxKPT63SaeG9YUVCIZhGIaxcM5JS8XOLAo3qXnwbTKQ/sCXf0fxLsElEJxrKiIWJfON3AVW2d87SlVVxVYCCNXnn7Y8sLK0SbDRFSXsNqt97+4fC+9jvg19vlYsbLTuSO/tGY6UnenGXzxFQxGK37mC/sqMTjYhs1J7z7ZM9PNdgrbhooUMVi7EFXSN8SEBax5z4pu5KuwjZLKQ2a4jj7VZoVziSTJKW7b7EVfItylbiOkJ6iI2AC7csIrShBUIhmEYhrFw+x+2CfcGuDm47OZCIFHdS2RhrCQKw0axCuiYugHhR8o5DXVVtGb5PPrJH54NrCytCzayFkBQbIiPC5R6KITR7fuGrApT1B3tcmROyhUFzBoDtsX7U0ixmhUKWVD2nijuY6bYnCA3NZ8Yl6C1mJHxIVqX1U19zInP/KPfUe4yLA3qdfQ2THEwkqDZqIRlzeH6UePa4xqv2lrqhAtmmrACwTAMwzAGtu7qpy07+sTve7qHqcYgNOmeDhBWdF90uBskkZXHZImwAVkwisKBrDkPbj7grfBgtzlOZqkg9L4kEctdznDwjENwNoTthnwRuDRj1YOULRclBcox1lXQWjS1gjEd3tmSSL8zhrWHz6HJ4qH2Ux7nim02MJapgLlKqrZGxtUty3DIvu5hShtWIBiGYRjGwB0bnysILhAY4O7jssOo77xCiBmJ4V8eRR5B4GZSNR5k/IIMylX7g511ueOchG+7i6Klym5RM0O59jQpYdAmcKqpYGXwbRLWqjSA8A3LgY8iK0GQcdTAcl3ozxo+b/gchlavzmSoykGDCFO8TfenSVm3vl5LWGMmNytXN0XT9cqxhliBYBiGYRgDNTXJPSLxQC9nbQURNJydEbLjWgegPBVSqmZm0oaioFVSsgqEaeTQV+cpTN6LU1zOBVdhMMq9xTlqKtik2vXBRwEzKcuucQywzJkU8KjX9QF9FHM9nVN+wkYcRUEajBE/gjVmc+dCn+cqrEAwDMMwjIF7Nu0xvh5FprNV2IVgHybDuWbTUS+hZpFpb66lF6xsp6SQl4Grlo/VIUwYhqz0jZ89SVVKmej6vFsPhuMbdFtyfUqRbLT+hO12x4nBRepaE50dDYkpYKNlqsANRUfWUsDa9jE8qZnAQFyRfBZrLDrT0VpLacMKBMMwDJMa09PTdM0119D69evphBNOoEsvvZSef/556/FdXV30vve9j8444ww6/fTT6fLLL6e9e/fSbPDyM1eITELzmmqKdvB9BRCkGYXrh0kYhAAeJsMF5ehXBVBVll/YVl/4vXtglB56psuz10rKS01iiipzugjDmA9kwEEGKMwb/s75nMNNpLokGNlHmAu7/KolLYEWj6DqzFGmBPPostut90lmdgoKHIawDSuUiT1dyfnHl2t/HPddXgtJV33WYFAygLk45kwmvuWob3CcfvfILkoTViAYhmGY1Lj22mvpxhtvpKuuuopuuukmoVBccsklND5u9od+z3veQ7t27aKvf/3r4h9+f/e7302zwQlHLqAjlrZS/9C41067+nCH4DM0OhGrHxCWdnUNGd8zCaCZvNIQOxNMfhx6kbRygcB1BB9LYVFmw4ojzAUNZcuufqqvCS5IByUobsVnXyoyFcbMTjagVKZVyC6NoUM5R59lutsFeWVZvdT4xDSNjk8KZaqtaWZ3PePQX72afDmplJ8hx+MxDy6KdpjlCN9XN//qGUoTViAYhmGYVICScP3119Nll11GGzZsoKOPPpquvvpq2rNnD915550lx/f399O9994rrBTHHHMMrV27lt7xjnfQo48+Sr29vWXv/y2/2UJPbu/x3nFXH+4QeFHtOS4+KS9l/Yi4SP/rIGElKYES7UgrD4R87Brr101i5zdMOHPxZdezbIEgi0B8/EaOe5+E6zxqb+iY2hWWmRjXgbALRRhKEe5598BYSdpWWKVwjFSG4cYkhO28kq7PP/6Wwf0okGetw1HhX48iaN1n8v2RYDywCLnejijxF7a+zW+dsUKmASsQDMMwTCo8+eSTNDQ0RGeeeWbhtZaWFqEY3HfffSXH19XVUWNjI/3gBz+gwcFB8e+HP/whrVy5UpwXB1Tu9f3nsvEe5NZSHuFy9oCQl1SMp5rFyaUK8FwjyCIQRflSKyVHaTsJnttntnrZsgXZPge+6x9Cd5DFr2tgTCgU8hgE8ss5kn0QLoOyvbxiYrtWFGW7utqsdOAqupUsyUBol5lEpqmT1iykt/3l0d7feT4kU8OdYRiGYTRgaQCLFy8uen3hwoWF91Rqamro05/+NH30ox+lU045RbjO4Nhvf/vbVKEE1voCYaytrXQ3NYy3vepY+sr3H6Gnn+stEZQRpDgwNCEEmXlNtdQzYK+yXC4BUBRzo/Ih4xNM8lFNVYbGJ4N709pUI3y1S9uNtgvbVF9NgyNmdzGxoy3Sfeo1OjJ02MIm2rFvMPWMTjoL2xuM8QitjdXUNxTP7S0JfGdjUXsD7e0aLi3WlvT6z2ZFbFJzYzV19Y2JdYg0sVPICJbNWqvE24CL09DIhJMyjPWCYpFjhvgS22fB9DoUnZaGahoYzl0Xf8tYH/G+Zf5dhob0zc0NNXTC0Z2UJqxAMAzDMKkwMjJSUAxUamtrqa8vV6BNBQ//J554gk488UQRJzE1NSVcnt71rnfR//7v/1JTU1OkfmAHsL/fP3D0qWe7qKd/TLg5TGtSSXffmHiYo25Be0uwAhEXuFjABzzMlSiK/IvN/jhpMm2XDFMegEl5AFHleJvyAIEPFYdNO/7YHa+rrRR1M+DqEkbUeTYxYIlTSFN5SLL/OlCG0H6Ymxj2ApBpK2qdEvQf56pCvEmgdwU79iLOJ9/xoDlCsT/bOst4aPC4lHqfhXJryRTluzGAfpx09ALq7x8RSpUPLS31VOloATz47IQMwzDMQQFckoAeMD02Nkb19aX+uT/96U+FteEzn/kMnXzyyXTaaafRl7/8Zdq5cyd973vfi9WXyclp73/f+/UW2tczYtxBla8MjU7Slp39hWxISVZjhuKCduFi4ZIC1Re0CfkCu6oZRdj2YfXSVprrSMXLNEfwOd+8vddJebC1ocdwANy3sKJ44zGEXnU5+Ky4NALi1fgCl3U4nV9zLmQCrjmUUHYlKP+qcm4agxzjcEBChClNVpexEHEVNt/ToYzc8JPH6enne72/83xgBYJhGIZJBem6tG/fvqLX8feiRYtKjr///vtFvINqaWhtbRWvbd++ncrN8s5cP1xkHRn86CuABwGhBpYHkESVZ52MYqEp+IvnpZ0iATVj92PftmeA5goQ2pGKFSlgVTA+m9wcVofBFb0SN9ywoFyaQIpV1PWI49pTU11RCADG767g/sbRIUynRnH9aq6vdvpcZQOumY1QA0MnE1MJzViO72iuKXHFS3JzwUUpumPjc6leI/InZ9u2bcLMfOuttxZeg+n54osvFrm+zz33XPrmN7/pnQ88rA2GYRjm4ABZl6AMbNy4sSjT0uOPP06nnnpqyfGdnZ1CUYCFQjI8PEw7duygww8/nMrNY1u7xU8f+UgK/Elhu3SQEOhaedo0Lgjb2DmHW4+ktaFGBFhC4FOFvtqq6G4opj7HRe6umwTaCsuEJZH1RgK/fDkOk+dIZ1udOGbl4mYadqxcbFPcchmJcgHAvmsuyMUI/ddrbRSd69C+y63c3zfq/LnyUU+a6nL1Q0Ynwq07wt2K4pG1rN2ugdLUz/hbLkP5M4l1rwOlsq25ltatSq54ZGIKxMTEBL3//e8XX+ySnp4eevvb307Lly+nW265ReTt/uxnPyt+d80H7tIGwzAMc3CA2AdsCOF7/Je//KXIyoTCcFAUzjvvPBHjsH//fhodzdUseO1rX1uoBYFj8e+9732viJl43eteNyuF5Hx3axEYmSZSoAwSAoOy2LjIKxBu1cw0vUPjhdSgaqtjIcqDj3AUtIsNodsFZL9BLQdTVp3O9obUd4ChTAVZA/b0jIpjUNQPwfcuuFgpkrRNQYGcmIyQlaiqQtRvgGXFZoXD7LssiTgWEgRyI0bBpZZCErEgVZUZetG6TqF0q+M2jROfh1e98HDqaKmjxnyF9TQC9xHv0zs4Rpu25DZA5pQC8YUvfKEkmO3mm2+m6upq+sQnPkGrVq2iCy+8kN72trfRV7/6Ved84GFtMAzDMAcX+M6/6KKL6Morr6Q3vvGNVFlZSdddd534rt+9ezedddZZdPvtt4tjkXEJm0wIpn7rW98qNpRwHF5rbm4ue99fd/YqWr6o2er6gn9qvCFcZ3oSqPkQxLSLZBR4fvgxtkNkbn2An2uWtQbmwvdxrQkirpUDwtzOA0NWK4SNyhCFwyQkxgnm9b1WEFEz4eLeS93G55oQWnGf+obGrRaRbH79wUogwSWE8K1Weo+xxFFsENm4VBbMK63irg8tqiFgcipLd2/aI9zVMAf650xdcvL3o5a1Wi0kcWtqyD4tmFdP55++nOZUFibk7v7ud78r8nRDEVB9VxHwVlU10+QZZ5xBX/nKV+jAgQOimmhQPvBXvvKVoW3Mnz8/+kAj+KW6BvkwDMPMNfD9FeV7L2mgMHzgAx8Q/3SWLVtGmzdvLnoNm0cInJ4rIAuTi+sLhIPWxlpRAC2IE4/soKd39oUep97H4jzy0ZO1yiwxPmdDsJO74OiGKhghFz6UKH0uTLnwkwK7uL67tvJwXREJm0lYPkamischBd6pbGn9AFm4bC4QJ7OWxGcsGDsqtoOw01Cs79UvOpzuengXzW+tE2sFCh6UTtRscLXOmLhowyra+Phe0Z4Ehen0bGN6H9V17avATFkmSqyvbLFg/9N7nsulfm6sEZY9nWyItcMlFgppaZctTH/DxUuBgO/qFVdcIXaS9LzesCSsXr266DXsJgHsMrnkAw9rI6oCETUHOMMwzMFKU1Pprhvjx+8e2UWDAVlXVCAoHOjLpa0NYtO2Hi8BSS9C5VuUqqEW6UmnCrEMI+OTXn7/qgsN3IAwRpyPbmzalq6LhIkkXT7CWjK5QmUDqlVDGIZvf9JAkXGxwmDPE/UQkqhC7otNxZUKn66s/eQPz+ZTmc4I0VAkcHzU1MKIffjNQztpVxesTTNKAZQSiXzdpjwirmc05PMhNgsaZhQAKJSyejp+IjPZ1t0DNIl0U/mLQNGuq6miofz3iUl5CALz8qGLT6arvnF/6LGoLfHg5n3UNzhGH37LyTQnFIiPfexjInD6Va96Vcl78GE15foGCIhzyQce1kZUouYAx+4KP4QZhjkYGRwcpQmHQMKoOcAPBb5/19aCwA6BY/68OtrfOyMg6vniXQTzOLurwFd81mMZ4vCy05cLAQ1xBgcrth1m6XCA+4mPAI7x1VV6I7qvtTXVFLm+6evqjLWL6LeP7Daeqx6LegZha1DWaUjTUKK2DeUBQb1HHzZPxH5IbHMbVUGU9y9sbbY01AjBHq5mUjlWFRYX5QHz15v/LOFcKNZQfqBAQLHYvKO0xg3uS1XlTPVsEzZlS173szc9VGIdxAa57Z67bGjEwflJAZcluBj967/+qzXftynXN2hoaHDKBx7WRrlzgCdZfpxhGKac4PsrzRzghwJnHb+4aHd5UVvxcyjoETFXHGCTfIpBeUjLNQmovvFpYXNPwb1sqKsSQcAvWrfYWXlQ04VGVQ71uBn92vdtLk6DbDt2XJNbqg2bAXogfFxcAtyhxD6Sz2hmIm5pCpyOAGbVbckGBH8I+lJ5gGWgvbku8vqZms4pLXt7hkuUdCg16vzY0vrOtJVr3HR/oHjoliWMoaWxpmj+cE3cdrx2wlHR3f5dcP60IhNSV1dXUdwDgEKBADhk1TDl+gbI9z05OVl4DVmW1GPWrFkjfg9rg2EYhmHKxZYdM7uZXQNj1D0w6uyLD7cGm6vLwQLSjiJzkGT73gGnzEpylxY76wMjE4G7rupua1IpVX2rLaO/GJeMS7Ht9ptPntnBdvVR9yVqauCqqgxhXyBm3H0iAe6m4P9c4HSGUNEhzryZLC+4p/Nb6kT8Q9DnFNeN43aWydfkMK1dWTEba6u9uVYI+1t39yd6P1SLqETqsTIN9awrEEjDJ1PtSZCGDxk2Xv3qV9MPf/hDkZoVafkQNAfuueceUQCoo6NDZNCQ+cClAiHzgSPNH0Be8KA2GIZhGKZcqNWJdYt0mKtFEspD9HBpM/DvDku9ql5TVR6ksKULeiZFCgI8Dusfnii4sMByYRKc1Jewgy/bixIsLfE9DbvXJiHdRRFRd4VdhWCpgmU9+jeN+XM83tS32cZ073NWgPgrXC/Yhl3/t5y/hh7b1k37H98beG5VhHUm0wFPTuWK2YUpUWgf2aGQpQnXi1NAMAw5FKzdC845IrXriGu4HggLwIoVK4r+AQj2eA8pVwcHB+nDH/4wPfPMM6LA3A033EDvfOc7nfKBg7A2GIZhGKZcNORztc8aWuG2uIQpD8BXtDEJX5DnhBKRfw+CrOuuq1Q4XFKuJjU1SRf/swFLhSxe5jPPQvlKqA91NRWx522uuOdJMDeYV6RRRiYnCPTf+flTtGlbV2hF6qDPhO2zB8WhUnnTZW1n8+5NYcqDye0sCuXwwE8sWg6KxNe+9jVRofqCCy6gL37xiyJjE353yQfu2gbDMAzDlIMLN6yy+meXw18fblBBgoCtSrGv0gGhMmniCDC5ANfklZ2kx+A6zSLlbWWFUKySKl4Wek3L66Pj04lUX55rYF7ra6poLJ84QgY1j8SI2bHdKygPYw5KJ+6BTR/A94fpPi5f1FTy+cX6QYapKEkg0iTWN6Cev/u4444TNSKi5AN3bYNhGIZhykV9bZWozCye6ZmZ3O4QcPFgx45nWq4iYbUi9N1MCDYowucrpI6Nu7s1RcHXHUnWq/CNZQgijfgE19Zywwk/GsKmkvnTft2QA7ATX1VR4Zx1y2eeUW26q3/U+XjftYO+wGUrSjyMLZYhjjucieb6are5zdhnQLo4QrHEepduUFAUnt3TX3QKvmPwD7qInBWXehVqEog04Hx9DMMwDGPglt9sySkP0u0kn9oTv0sB56WnHCYEtqQp2YV0qC4MIckmJ2UCMuaECqwxKvXKfvlQkUGF70yibhhpBDe7IIvLuVwfFgqXXoZliITi6ZOy12eeEQhsMsuhMJqp4rPvrKMv+Gzh/mPNZRLaBEgS09zW11YWuR/lsiGFKy7YiIDSL7l70+6iGhhoAxsUyPSkqlQublNqEog0YAWCYRiGYQJQH9a67/OP7n7Wuao0shJhJxyCFtyTAlGENPy6ZH5jrOrCGEJlZSZyysxyZjWHUIV5knMdpKDZhuOSLcoV3Debu1gYaUxbuW4FihDqbNvdb1RgIFT3DY6LzF1JIJXhoLG6ruUpmHVSiDOQQDGH2536mcZ3g6vSCkvizBovHhSsMS4ua6bl3qNkjUsDViAYhmEYxhIDsWZFW9FrcCXwRQosyEoEoQIZWcICd1UhDcIIquu6AuEZ+e1NbaItvI9xpGE5SQpk1oEQCeHMtotrc4/BOWHBsz4Mjkx4Zc5xEfhmCxGPkbdEhfXS5Jqn3gpdqYIbjp65Ky6BSkI25/ITpiuOauMwpZSVyLagNKImCCwrmQDlqrIyk6u/kS8uJ49FatcwpJUC6wUZmtTEA4W+j085KSJHLW0teQ3fM2nCCgTDMAzDGDhiSQs11uWSfAA84FFszBcRL6EWisrHUPjgmsUIfXzRuk5jaklUrV21pEVkOEKwKQrjhQmR0vXJJqQlLSpDqYHQuCwvGGIcU5oAJYVKm3AJwW9IScEbF9+0m0111YGKps+cJWlJkevIVLDMdJ3A3X8oeYqwm3A3Z/oQ0Am8tevAUKh1TH87yK0InxGAQy7asIoqKytKzhexRpRvS1sbPisF18A6gYIAty0XK59NMTZVv05bkWUFgmEYhmEMbN3VT09unynGhAc8YiLmstsJ+vi7R3cbBS8Its/uGRDKC5SI/qHxkn7pcRIyz70u3IgSYPnYkDiIqrnK33AHQ9+f2zcjGKrKkAxil7EFtmDaKMW6bJYb351x7ETbKnZjx9xld1qSZPCvxOSCpPrhuyBjggptCstW8TFSqUhSudDbSuNzBSW2b2icrrvtCREwbronIyGJE9Qg8IzSb/xALYgoGZbQL5+sUicfvZDShBUIhmEYhjFwx8bnihQGuGwMhSgQQb7y5XJtyQYI1lIgxU9U6dWBK4XTNbTrRB2Za+Cwel3QVD9jGYqDas2AYI2qxi7xDlGF4t1dQyWFz9IC43CNE0hCT9GHJdtMUgeSbSURxmBqAtPlGtPkui6ySr+zmuUGL+zrGSEXfDcvHn76AKUJKxAMwzAMY+D805dTZ0e9ECogjIW5sqhuSqb3ZisTkA301XdHV91NVRWjOkPAbVRgBVh/XHAKysHRiUSuJawZMj0vkVAQXVyWouoAWB5l0h/EOKJYYmzpW+cSUPTiot8GrIEoVaIrlM+Dr7KEdK6yArvuRiYyUSmv+bY9v7We0oQVCIZhGIax0DOQc/NxESzUnUY1SFK+lzZRNsV9hZKKytL0qmLnvqJYnIgj36G9+zbvKwlEV92rkhKMZVs+84Cxyfsq5zxspx/vB1ktymGb0vuoCqdh9AyWWqt8ibImELNjsty5FnLzIWqGskpt7ZuPCW4cge365sMxK9ro7S8/OnTekEK2oNxXZGjhvDo6ac1Cesv5ayhN5m4KBoZhGIaZRb51x2aRnjFqAS7xXpKSbgi4ktxNT8JtBO0gfSzcbmR7etAowHsDIxNFwr4MHI/SDShrE1PF876wrd7oj54Evv3MWRCKA5HDCgpiGQRdo8KxiFwc9KU4EwocTjLWM+yy+8V1IA4p6pV9C9hF/cxMTE1TR0sd9Q7CRdB8TFDmJ2CKmdn8XA9t2tYdukYR24S1h/fbm2rpXa87jk4+djH19AzRpKNLYhTYAsEwDMMwBg705XyTgzYP5e6fK0kElK5Y2FhIxSmBi1WuEjWUiHz9hLpcRiNXqquKD4ZAstMhy40t736SwjCy7dgCk12xzYVtJ941oFrGjsTJmBQWCxJ33ZjWKa6ZVvYkE1AcfIPCy6F+I7NRHIW7IkOBygN57COot0O1egZ9jg8oijWUbBTALAesQDAMwzCMgdefeyS1NdeWPLylSwGEDmQz0pFVdE0kYRnYvm+oJNi5sb66KEBa+lfrgkuQwIhdZuS1j4vuxqW7oNgqYqctSJqEOIzXNmYXNxl17tLImCRB01FcbKAEQXmwWUdcuhzVtSctghS1KH31yWyUdlxLha2GS1A6W+29Z3b20tPP91DasALBMAzDMAbWH7eEFrY3lAgH6t+mrEwQJIMEmSAZJ+qOcO/geGwBS6ZITQpYRSD46O4vvjUwkgYBwXJHHgpgWFG/KDi4xVuBAGnM5pNPX+sDLFWumbVs2NZEOa0XKkGKWm11csH8gdmtyA2fOBM5NlfF1dYylMWvfP8RShtWIBiGYRjGwO8e2UVPPxdtJy/QnSHgvERiFzJ216qgfuHaao2AuEXM4IKBJiDEqi25KilrlrVG7oOtyjaE80XtDQVBUxWuk5SH3UXMUtAndR0UzV3+J6bFZbcdKUnTyv6l38colqUgfK0JOLzOQ4HwcVFTwb3Juh6bolUqqOVnnu8T8SNpwgoEwzAMwxj4/l1biwQ5VDh2AS47tswpPoXKfGVnKXBBYITgElcgjuKSo/cZTUAgjiJGoU5FWPCpBPEeKrZ6HdjdRWCqarGRJCnqqXPnex/0aZd/qsqUEGJd/eozuSBvSVCVbB/0yydd3wLja2uqEWvq7OMW09+94pjAWionHNlRFMwfhowVckUqbccd0e5UKySsLVjC0nIPw/pLOxaCFQiGYRiGMXDBOUcU/OPxwMcOq0sqSgjwNuHO1T2hobbK2xrR2lBT5DohszLF4cQjO0RWJVeyeSVJZoPC71GtCD4VpRHvobJ8QWNsC0qQ0tdssXBIOppn7oVtCFhPEIxdiRpjIWtdFNrxtEjAmuWyBGT3wmZ9XmON87rsGRwX7d775D763m+2UFtTrfXYrbsHqLO9wa1hS+ajIKTShirpWa8zzW2NjJfGKB1MsALBMAzDMJYYiJa8UI4Hfq6Ss9u5JlnPR5zFbu66leE7naqM3Ds0s6sug2bjCigPPdMVeozaB1xPKlDZvMKEHe9y+8sj0DypoGaT0jcQUq24a6DUwqEDIVqvd5EWahC1bwwKzvU5JczvH+sU68NHMYWw3zc0Lj6DwHSFodEJkXLYBC7lmzHNxnItC1omYjtxKl6H0dnRQBduWEVpwgoEwzAMw1g4dW1nYm1lPYXWnoExmtds33EFKbpYGwVOdTdeyol6H3TBHe5EzYp1RO6+JyXQzQYYOxQjPZ1umDCZ0e5xUO2IuYqszB6XMEUmSA8xBakL1z2L4h5Wp8NXqR4ZmypYZXysfBiTXPdJzKENuDAesaSF0oQVCIZhGIax8PuHd0Q+tzGmgIwaDF35Hde5kB1I3413VV6w0zyvsbrotfHJaRqfCBboXIJyMyGB1CjwlYagtrijUfjjI75j6fzGQnwMfkKgxLVN160JiIHxDeqN6p6m9iFKrE1YZfakLD9oRrrA6XPjYxFBb4ZGk1fUpvJ1NFCJulGLwQka02hekXGpbh+VlUtaKW1YgWAYhmEYA8hiMhywa1kRInwNJbDjKfL/x25FaW8WMqhipxkuRSoZByEQSkYQEH6DRDAIsq9dvzLR+gyyYB+UO+mCsq9nWPyEItE3nHPPGR6dNAqIQSlVoZzJ9STvOf5urq8uek3+jOqe1lhXXchShTbStmJhzrDrHsWNDXOC+ycL9QUpg0nFvPgwjSQBU9PCyoYCjy6Ypjvpnj9UBtc4ViAYhmEYxoBLFpMkhS+4RMxrKs30VOXoKy4L2GHH3yRMZWapKJjpktm8W0lUoa8qX3U7yGIBN5Nv/uzJRO8RlAJdIcFr8M/f0z1c6BN2pE1zXZSeNeB9eRhcpGRmIfla3OHANW5kzM//3iNcoQTMD+5FbUD2Jz2Llimbl1AkNKVMPSwJRTHo8xHmcrfjwLCxX2HtYq20OGZ4c2XxfPdg8qiwAsEwDMMwBoZDhCxdXoGQZSsCpmJ7GzvyEER9fMUzhSw5GSFAoUtQQpCNRheo8V7aWV+QdlPHdkm4AB3e2RzpOpNavQrsqJssFlHdRKIoWmqKUQRZh8013sc5umCK8UiB3Za1K36KXv/jkT3JhFQCw/oUFIOA2hwqcurC2kx6OeufXSiqsCwhoUFYTYep6ayYI7ix6a6CQWthXlMtzW+ti9Ntrb0a6mit5zoQDMMwDDMbIJWqr5AFa0HYRqjpbenj7SvgZyoy+Sw52cL5yFQDF5swFyATJosAFJGPvPUU57SbrsAF6Lm9A87CsM1agbHDZShJfO8DXGuizDcCf8e0dKJQKsIEfLV75fLc0Wtr5Pz/ZxQnvUaDa+wJCgbu2D9onP+s9hlB7QSbdS0usIjp8w5FFZ+lbbv7nVIw9w6Ni02AsPunBt8jFgjWK13hj2othMXqwc37uQ4EwzAMw8wGSIOoPsNz7kH2pzoEgLGQwGAbpx+zyCog4/VMmSrdmtxAUMzt6psfLnoNwckQ5uICC4HLCHJCtf3INP34bYKc7j4T1bqj9x2CqqvsCOtFkGtQkui76pgXCMqiv5lSa4+L9QdLfseBISfhHMq5zdUHV5KfTfw0pYjNhKyvoCJ1qvKURMXtCUXZhMKP9nUFFOspioufb52PqLACwTAMwzAGkAaxQhEqcgGT9oczBADsKEfht4/sFkIoBJ9VS1qoQXFrQdacugD/a1VWEtVyKVkwJj1n/bGHt1HP4JhTTIYJ+bp0+7KBuYCQnLSiFIbabZtioL4c1D3XnfiiazqdkVMgdQuGJEggjoIu5Ku77HGUJ1vVcB0ct2VXv1WRlJ9N/JzO5pQwdZ1lQ9b4kGNdhtpqP4UtTnB31HUPJYfrQDAMwzDMbBFTbs25XLgfj3gHFM1SLRlwUarI5Pz8TaKIKsiJarmUPLoMBIVHVZZ0P34IMIhvMMk/8BEvBAtniZYtaDJeE7vavYPjYvymduKmeQ16PyjdapSsR5mUsvNAqFfnRlU8oyqzaeObrjYK+EyIquh560x1VbjQr8+WTe6XQe1h4PN6xtpFhSxaOtIFLIiwO2hbHxeeexTXgWAYhmGY2UKmuwzzSTa9hx3gkfFJ74DVXQeGSjIvrV7WSovaGlJRDlQa6qpo1dLWkmDosI3QykzObaQ2L9QjfgSKkAlVMEO7u/LVgzN54VJNV9rVX1wHo15x19GDy2XBMNFGvhFbtwtpTC3vu7jUqNdV+2WsvEzRCDrPJOAGpR32Ja79wvZ5iZotCcHBvtmgZiqy+18zrJuZkPOx/o9d2V5UIV6lo7XOSbEJwqbobt7eQ2nDCgTDMAzDGEAWk/5hZbcxQKAwySfS9UemVtXrRuA1UwGqrEGAffiZLuG+kTajY5O0bVef2Pn3Ae4lEOjH8n7cEJr29Yw4BVoXhLz8uLMBAtxIXinBNJakca2uEBlz0EaYdcLVXcUFdOP4I+fTq190eOLuY2HF7KKmVzUpHxnPOidh2GT2qJaRvsFccLIpc1UYPgqhCdM0VCiTY4q5wDivu+0Ja5v7e0eFkhHHxckeL5O+9YkVCIZhGIYxcMfG54qEoKiPZAjCCESWArHcmYXAjRSOLkKgfm0IHdhtl25SSdV3yPXVf6wQ6iBEoZiW9D3H+KAgmYSrNIAw9eyegcLvPlmMggLVw0CMw/7eEbrj3ueK2lVjH4LCEUTlasdKxiqwzvhatyhAOcvmhWLZVcj5+nHlupc6WEdZJUh4SYdb0bakEO5Q2m5/e3Nt4bWgVMtBqHEaUZmvff6xltesaKe0YQWCYRiGYQycf/py70DUihC3DSGcK0JZ39BYpAxCCK5EMCd23A/0j0YKYo0quJpA4CqEqK6BMSFsyQracGWKKlwV9TWvKFkzAinzrLqduSCLlGVjjB3WIVVpgXKnBtwHtp112yGHm5S6W21zEYsD1lVQX6PPUnQQ1zGuzI9+78uFfo/2941GSt2rko1Rq0Tth/r5x1r+5X3PUdqwAsEwDMMwBhCEuNQS4KsjBTtfZaC1sVYESPsCIQr55pGjPqrygPMGY9ZP0HuuVjhGt7oHxiK3ZSwslskFT09rcps6BXrGKB24v/i6wBjbCYh70IX7oHWREyLDBVG0aYofwNJbMC88WD8J4wHccqCgJTF/+hhMih8+V4jrUOcH6xZ1GXTK6T5WW10hrDHqZy/J60vrYhim/Q3M5UtOXU5pwwoEwzAMwxj43SO7aMe+4gJXQTu3yC7kmyN+cGQiUlCpz6a+ySoSRenA2NTgauwMZ0P65TO2rONOK3Z942RJQuEuW1VkHyFQxmPEwed6tvnBFK9a0kqd7cVuPbr1TA/MjwqUXlwvChnPdK5YPxnFJSyjuNnpJGEbyXhYIya0xZ6UbQbjdI2LMBkvMDc/+f1WrkTNMAzDMLPB9+/aWiQAB7n74ChYBHxdGnCOjUwCO+Qi9WtCW6MYmyq4JZnxR00/mjYm5UuV1+AW5lq7QRJ1ipMSOh96ej/tzmezkhy9vI3OPm6xEEaxY64WLzOBtYKq0GHA6rW3ezjwGH3NyfkNdI8KqbfhWnQwyr0Ky9qVBrWWzQZRk8JiGTTpFSa9cGB4QsRwpQkrEAzDMAxj4IJzjij6O667jy9Rc8DL3ef/995z6PDOlsiBtiYGhv2yM0kBBwJa0Kaqrz9/3Kw6OoW6FPk0upMBlhPTMFwETwjoUE58LD6uAbZ6PQiwaVs3bXxir1CCTe8DtfnKigraYnANAlCoEMgsBW1Yg1yVB/xdHWKZg2VLzWqUFrhE1qK8QMmKkxHJl3HLBzM4BiVXR0X2Ez9tn++amnRFfFYgGIZhGCYCar2C2SBI0ECfLvv8b+npHb2JXEvKVb7eVrlq1LmK1CZLCDb6oWCECZhqH0BSVhVT2xhikW+7dq1sxPbra6tKrAQ+Fh/X67gqWlAKspo1zJZidSK/K+7i+oZj5HG4//g9TOFDat+oVZfVMYclPQi6BBStqDUqohDFjRCfpZzVMndyUH//8MieSP1y7kuqrTMMwzDMQezCFIR8dLvKASbhRn8FwamuAZRBwhQEPgQTJ7VTH1WuglCIvmCX1LRTCnkVr7v0s5AGN5/W04cwfSOrWAnUnXbxXgIyJfqOvP9x5dMgK4aMD3AlbvYfF5obzFWYkwJuheqY25pqI7eVROXuigQUW70N1Z1OKgwuVsW25uJikEnDCgTDMAzDWFyYVAEormxgCmItCUKGsB0iHQS5ttgEyLloJXHBZGlorK+ic09aVqKQ6e4n+FtOedYhI5X4nTK0cnFLIkqDLy5xF+iXTcGchS6H4lOQEKP3cfEyuRUijbAK2tPrN9jQP57zGv0F8GntJrhaylT3LX3tRVX0FmlB9UnDCgTDMAzDGFh/3BJqb6lNJP885AMXP3+4rZgEBlW4ieLacrBiEuQRvP3Te7aLHWNVZ9DdOfB3hcNNU68xMDJBjz/bnaoCpral9t+2A64eDzeiA32j+UDvPx8RDmP821ccQ4ctdEubbCOrLRi4jLU4KgK63m5LcOBjZcg6fk4rMxlxT4XLl6OyGXT/mxtq6MINqyhN/nxWH8MwDDPnmJ6epmuuuYbWr19PJ5xwAl166aX0/PPPW4+fmJigz33uc4XjL774YnriiSdoNkAaxOf3zqRxzcRwvLcJ/BAYYFEIa9o3EFoXcpLUNxDw6rtTnCTSLUr8HjIwNfOQa2Yl3xShcCtyLTioC4iI/ZA1FbJ64HFeQNRfl/U/4hbocxWEyxFXjDHe8NMnRDYp3wxYRe1kza5jPgRljML8uyjvmZD3peyvVqXf1TXkFYNhuv9y7tpbakQdmzRhBYJhGIZJjWuvvZZuvPFGuuqqq+imm24SCsUll1xC4+Pm3b2PfexjdOutt9K//du/0S233ELt7e1C6RgYGCh735EGUX2eyx1iPKJd3SLCgMAAiwIEnzgZYHQBVpdDZLEx6SoRRybELnhQnIbI1+95gaj9qfKYMx9XEIzPpVgaxoniea7+87qAKOoJGNKrIlhWFxDRnyRdq1wV4ijWrihLWcbCpBWbYRuu/rIxW5VUKgK6llGUg0Lhw/x906nIVJS053NvTXOUUdbX/h4/pSkKrEAwDMMwqQAl4frrr6fLLruMNmzYQEcffTRdffXVtGfPHrrzzjtLjodlAkrDpz71KWGBWLVqFX3yk5+kmpoa2rRpU9n7v25Vu3AF0MEj2lVghCDlXBQqhl9SWH/QdE//WGGHMrfDXdovF8UIQcamSsCo5YB2zzy2k04/ZpFX/8NGjl1+1DRQC/VhWpFuNQ1rSEdLHb3pL1aXCJ24l6pACKEvyBCAY8OsE7h3GBfmHsfC8mBaC7bid1FZNr+haHxJpDCF8Iwx2BTMJLNnhe/yZwpzD8V59fLSGhd4d32+VkYQMzEy9utm8z/V9YC4J9N9m84mm4ZYXl8um9GJKS4kxzAMwxycPPnkkzQ0NERnnnlm4bWWlhZau3Yt3XfffSXH33333dTc3Exnn3120fG/+tWvitooF796YKe17oGrsI/DbMeikFQ5g5shbMtsR+iScRczRMLD2yLlpiU2AYLW7x/dTfdv3ufs1uMK3HbUQn2yCwf6RmK3DWVKVQxwra//9MmSXWHcy4ba6pJdZV0ZyyiWhKa66iLB0ySrYly4N1Am4romme6ZSUDevm+oaHwYk0/QsWkc6DrGYCoyiMNxvaRcosI+gSIt61Q2HySfpa07Boxt3Ld5X8ln1PYxECl+A96v0tbBpOVetjfXeX32cT39+EyAJQ5ufmkXkvPLg8YwDMMwjsDSABYvXlz0+sKFCwvvqWzbto0OO+wwYZ346le/Snv37hXKxgc/+EFhjYhDlUOdAZ2uBATTIMZCKgNjN9dFloTsoAv0uQJT/hYNW6C3zFTk4maBy04n7IaClLRT08U1FGRfkkhVm0s1Wzx2W12Crv5RmtdUU7SzrCtj8i+9ojDO62itp10HBmNbFERtiboqGh2bCrzXqmtL2Bzjnyu+y0seXs4EAOJS2VxQ8cjYhPEY030IW+f1NZXis6KPpam+uijzlLUZFFY0fEYz8nVlPeH+wUKlr3P1TL3wIbLH/eULV0T63nOFFQiGYRgmFUZGcgI4XJBUamtrqa+vr+T4wcFB2r59u4ibuOKKK4T14Utf+hK96U1vottvv506Ojoi9QMP5LY2fzeXl79wJd38i81GIV5N/RkVk+Cv4roRbWrDJjBG7fdspDXVCRK4IWCp1gmXuW9rqaWuvpm0n+qU4f262ioRn2CKUTClJ4XrUZayge5kOM8ntam6s623i3splQescVXhEbv9hnElDZTcBW0N1Dsw5lxNvLamksY8K4/PRgX1IIYta9H13toCu4VLnKo85D+vqvIQtjmAcy55zTo64ehOShNWIBiGYZhUqKurK8RCyN/B2NgY1dfXlxxfVVUllAjESUiLA34/55xz6Pvf/74Ivo4CBKv+/mHv87bv7rMK8XEFamQy6h+esDaUhILiI4y6ovcLgdkHekeFsNpQV0nDo+UVDCXCrUQrCBe0m45xqMqDDnb2j1jcKmI9pAKhtm8iadcjFdP9yl0un41KEyiTWjph6xB92Ns97LxW0d4Zxy6iux7aFfmac4UK4ZdWrLglDeZBX3d6qlrTOQ8+uZ9OWb0gtKaMTktLPVU6pgfmGAiGYRgmFaTr0r59+4pex9+LFpUG2XZ2dgolQnVXguIBt6YdO3bE6svk5LT3v2NXtlPSyGcz4ggC3UoiyCTYAderKOvAV1oXeGTgqxNavzBP8qXxiK5E2FFd0Fpn7YOLPDOh9MMlGDhMrhoamaRHt3YJV5VCBp6QNhFEbiKsN75VtcNIIhga4H64CPKmY2xxFDj27kd2F/429TSK8jAbJTGms+6pgaNiqgsRpq+gR/c9vpt+89AO7+88H1iBYBiGYVIBWZeamppo48aNhdf6+/vp8ccfp1NPPbXkeLw2OTlJjz76aOG10dFRkZ1pxYoVVG42bSktKBZGJoLgahS2Isgl2AGHz32QAAZffV0AkYGvJlRlBP3MGlw2Vi1pETv+Ube9oUjt7xu19sF3Yx9C/7AWexAV9CsoVaxarXgkIH4kiOGxyfBYh4CUsmpmKhCkmKLuRBBQ5JBBCcooFE387Yo6zqC4FLjoSCUnqb37yorwWippMD4xHeu6UHxsimfU+cnmXay+f9dWShNWIBiGYZhUQOwDCsF99rOfpV/+8pciK9Pll18uLA3nnXceTU1N0f79+4WSAE455RR64QtfSP/8z/9M999/Pz3zzDMiFqKyspJe85rXlL3/izpK3axsZCwP/Ka6qkLtBRsmYascxbtM6FYAVRkx9fOEIzvoTS9dLQQ4PZBzthgcnQzdpfXZpQ+qSzAyPlnYhbYpbkgJCyXLdk39PBymKpUYS1D8h1fxsclpkVrUBNLkYjyIZYAyKoqw9bnVE/BZriKTUcI+SrKWii9q7YYoZC33HVYllzoiuBe2eAqgWwtd57mhtoouOOcIShPvKevq6qIPfOADdMYZZ9CJJ55I73jHO2jLli2F91ExFA8MVBA999xz6Zvf/KZ3VdKwNhiGYZiDA9SAuOiii+jKK6+kN77xjUIZuO6666i6upp2795NZ511lgiQlnzhC1+g0047jf7xH/9RnIeYCDwDUFCu3Pz6wZ3Ox1bYnqaZGSHARylI0Z3eiuqO4bqrCuH65/c9L6ojm9rxAfOj7ujbCMrF70qcmhsqLoXP+vMBvPo11ywrrUsAcBjalZWo44wFTajrrkYoJub1+NtHdgfGjRStD4sgDWXZpCjhXPV13+m3zVUQIk1yJng9V+bHNJ3g522BcMeroNqqGQXCVhfDpJTbFA81FiLsu+SwzmZaf9wSmlMKxLvf/W6RJQMp9r73ve8J/9S3ve1tIttGT08Pvf3tb6fly5eLYkA4FjtP+N21KqlLGwzDMMzBARQGbDr98Y9/pIceekg8O5YtWybew8/NmzfT6173usLxcHlCNep77rmHHn74YVGI7sgjj5yVvs9vrY8t8KsCmU1owm6zy26lTtJGClgQ4EaE/hyxuMXpnM3P9dI9j+8tei1qJWFYMXoVRcSGzMVv2vWNU3siquITdhaERFPhvc07SjORudQQ8EFvAi430lUsjg5lO7Wlvtr4OhQLpDiNWsH9qZ3Bc2UCVhQRhJwheulpK0qEbig0UrnPOqwN177v7xsVCrW6ll0zVMl+mdai2sewe7dlR9/cKiSHtHtLly4VlUGPO+44Eej2rne9SwTEPf3003TzzTeLXaVPfOIT4r0LL7xQKBd4YLhWJQ1rg2EYhmHKwbknL7X6jKvBtXGBgBmlJoDMPJQU8PWHP/3Lz1zhLPAkmXkoTlsQ7jrbGyIFEMv7iJ18jB9NBDWj33dVlpPF2HQg8Pn2LCknH5uwCfc6KF2uipOLYtg3bE4OgDUOoTrqTn8U9yTZDZx758bthtif0nigoLFjDGHuiHHB2sKmg5xrWORaG2u81w6Uz7QLyXkpEK2trfS5z32OVq9eLf7u7u6mG264QfizYocIPqswPSOLhgSuTs8++ywdOHDAqSppWBtRQTEN339pLxSGYZi0wPeX73ceUxpEbaoBACBgw8/4YCNI6YHQAl/yn9z9bCLVncsJhLstu/ojFZWTwimESYxfFMILECz1oGW9wrBN+ZobESIKGaKVi1uc03bGFfRhHXLNOCVdfuaaFJZmylbT/MGKEZY+WKJa3/D7+acvpzSJ/O33kY98RFgLECSHQj8NDQ3CkiCVC7XiKICvq0tV0rA25s+fX7YiQgzDMAcrTU3u2VMYM+tWtdMfHyutmE35B7paZRiZVIKCIVWwN6UGX0atGi37EbYzn/OnzwgFwWUnFy4upoxINkHmYMnbL5FzEQXcu6B0tTsPDNGKhY3U5eg9gjgHWF5mYw6x071pW7dzwcO4fcT6cXFRE8dmSASeb4Xrl1bgb47E6ofi01eMN+e6VFGSzcs2Z/kyFOIauJb6mcXvDz+zn5YvbKI5p0C89a1vpTe84Q30ne98R8QpIK4BmTRMFUdl4SCXqqRhbZSziFB1dSU/hBmGOSgZHByliYmp1IoIHQr4pHF1VR6AFCqkQA7lATuzqkLiKniGIS0oNdWVNDk1GWsX3HbuwaQ8gKjKg37vpPCms33fkHt7lEtpmlRQd9TK3NKFzZRJK6mu+cw7KlXv7SktUDfXlYdG5XOMvkoFPgyMM6e4u3+PqJsQpnn56R+306tfuJLSIvKTAi5L69ato0996lMiLuLb3/62CKiWwdASKfTDQqFWJdWPkVVJw9ooZxGhtE1VDMMwaYHvrzSLCB0KwAUgTX0KGXHgagCf+ZecvMw5SBPuHbU1FU7uHXLn+OTVC6hWywQT5IrjwlxzLyknuHdJiAioieCjPLjE3cxrqqEF8+pFPIarJ7Y4NuTgqIqi2qprfzAlSdTyiBq0HZUhpc8YahSXOpU4nvRnrOukNPGaWcQ83HbbbaLQT6GBigqhTCCQGrEQpoqjAFVHXaqShrXBMAzDMOXCtMnv8lB3OQbCBXYd93QP0a8e3FEQNqBUIBUk2tCDghFQOTYxFZhu0yT4IUWn7pvvu0Nd0i4dusQVDKNiEuL1tYbifnClmpzMuay5KB0I4s+mVEPBlj0orF9JKGhJ3CdpbfIlG/F6cj5FMH8EDUIGxT8TkuWrrAoEgpjf+973inR8komJCVFVFBmTUEX0gQceEMWBJEjFt3LlSuro6HCqShrWBsMwDMOUAz2LCXZpsfsvqt5SNOEnY1FSVIUASgVSQaINfXd6YGSiIEQa4xHkzzKbBzJlaD9ymtU/c1OJba2JNKZ5pQPr1hTArE6NLWGADSnc+ibPgoCMyuVpub5lEmpDVuG2FYuzZWdbMC+e67s6n6sc0ymrSDe0fT0jc0eBQHDz2WefLdK4ImvSU089RR/84AeFEoBUq0i5iqI/H/7wh0UF0VtvvVVkaXrnO9/pVJUUhLXBMAzDMOVyYWpuqClyC5NVerOzJN0EudbCXSM7S3EJekrZqMK+FQSJRg00V+IWxE+HriEoHkG8QUW9bKShr8ASJaxSEX1a4CplirGJs0yixm3oCrMrrkPP5o+VCkAU0Eb3gH/c7cj4FO3vNVfvxmcCFkRXt0hMr14rJEw5wXfAvKZakX76FS9cQWniHUT9X//1XyKVKwT/gYEBOuWUU0Qg9ZIluYp3X/va10RcxAUXXEALFiygK664QvwuQQ0IuEChKikCpmFxkFVJAawMYW0wDMMwTDlob6mlgXwlYZs7BOQaCHZBApXMYJOmYI/sQAiunson21e7g/6lnoLSM2AWglTY7rXMZBM2b8iXD+sM7gHuB4qWDY/lrDVy2IgBgQJoagsxDWp2JQTFoxCX7bJwM4NCI1yElLHj9/mtdcKClCSiRkV1pRBCxyLcx6Tqdbjcs5ljM7k4n4oMDTgoDEHB5HgP/1zd7grB7jEyR+l9MbVV6xgknTs/U1SxPQqDIxOB76MvYxNjtLCtnk44cgHNKQWiublZVAnFPxMoMPfd7343tCop/tkIa4NhGIZh0uaW32yh7XsGQoWdMOUBtDbUOKewlDuNLQ01tGP/oLOAkg0QFKMqD6456CW5uI0KqqnK0JAlM9VM9qnw9ly6DSFudGKqcA/wP5QJWA/UAn1BxfGgPCCYvX9oXJwr27EhFSSMZcl8pG0dzSkn+UrEabDrwFCqcSfN9VXCMoDg+jFFUG+ury7MiY8egvthU9hsxwe952vxSPo+mMYx5hFjkcS9cyk4WVmZof29I8IF89JXraW04Hx9DMMwDOOJKsy4CDYQwHy8TyDQvumlq71TjiZd/xQ7yL7Vndcsn2dVHuIIUvDhN/UFQpxJOXARtlR3Jghd2Ln1AWNBwDKuj75BmXGZLlgwcnEd7mJY2Ly53ia14JgKrAS4hlQeMB4oYdPZLK1Z1kpRKKcrnW34+hTPVkzMRJky3VVkcvUkFnXUp3udVFtnGIZhmIOUCzesogbHyrlhQMnw2UAdHZ+kT33zfm/LQVwvpYxBOPdLM5pxKk4WBfjwm/oSVR6EIDlfiSvA37D4RAV9w3y5TBcC5XHYZN7drKRvtj6rv2sHud4mU5FAE9lsVihhmPdndjlWxrMAn3wdqQwmpfSqo1Lb1JUYH6XmYAzAn5icFq5ev//T7lSvwwoEwzAMw1gY9yzGlxSugmjSnHZsJ61a6rfbrMpYPsoGdrfhNhRXgIw6TRAkEfAKJQ2CYs5/PHyX2EW49+mDiSWWeclqcR82a4IvyNKE9lTUWwllIogixcZx913WQIHSmTRq312XpG7dwt9JWVAqMnbLjy+u03XBOUdQmrACwTAMwzAG4EMctlvrK/skKSsl1ZQq2Nz72B7auss9fzxcJbCLHwbSdupuMO3NdSIodC7UbPURFCHcm1KiYh5NQr+akcrlnkFw3d01TFUh7k09g+Niffq6mIl+aAItXLD68skCTITdo6z2OxQSda0jkFoHyhrcv5Kuwh0VvR9J9iubzbkWSaLcs5nGgrOH4TLnnb6C1h+XS26UFqxAMAzDMIyBdavaja4XenC0jnSJkTKCKgfG2dGEIKqmFdWbiiqS5ITQmTZ9+jg5NS0CiMNAm7obDITHOFlp6moqUq80bJLzdncPU0NtqQKBeBWTzKnGsYRNbSYftAwh0BQQb64j4r+ocD9w34uqVScox9dWVxa1h4xVc8UbCOM1KfJ4vTZmdXYbmAqZQQqKm/q9YrVoWd5Qb5Nu1UD2MNzbh5/aJ7KIpQkrEAzDMAxj4J5Ne0MDH/sNu7YtDbm05FKus2WugcCiu40EAUHUFhgMBQA741GJmuUTQ3SRX23xC3GAoKS6HGH3NUyhgLg1ryl4zlWRzNRluDy5ZPiBcGerI2EDl0O2LsyVqshJYbKQLjbjrvjohoyO1lqjq1w2oC3XIGrMP+pnXLRhVYkFJerdj6p42Aw4HS11tKSj9LOCeVCzTwX2KePWB9NhUNzUoH/bvLgo8rZjUETuW3dspjRhBYJhGIZhImISMIdCcrWr5/qkdg3aFYcCgB39clLOHWWZEUhFj1fA7mtYDMP8eXU0FhDXkqSL2YpFzcJNKwlKBMVsTmEygSEgBbBNOezpnymQZgvS15Wop7SCZjYw/9v3DtCPfr+NKhKSMLMRFQZ13Op4oPyZPisZg6tVR7NZ2cw6dgqH+WwS+AJFE+6BpmV7oG8OVaJmGIZhmEOFVctaIgmULqlX48ipqsyH3P1JANcNIYh4dCyOxSOKoKRaX6K6LiFoOii9qyj2R8mwZVd/akpdNq8w2d5TFVNd4SwU1quuELEKUMx0Idegr+TacvDdxw47hHSfGglJECTUu9zTTEWuOKBK96Cbgl8ZsByjbBIEX6v4HoyM5dLvquBz/Ppzj6Q0YQWCYRiGYQwgDWJaeeyzCSkWtgq/KAbmA1w3UETMZ7xJZ6jyKIngVT9hroB7ogZUSzCUNK05uKUmuR/KAFxpoFDJQnFhHH9Eu/f1TUopgtAXIIVuggP39ZDDtaFAQZES9S4MDeCe4ZgwpqaD4yvi0Ka53JUGexcfj7GsXj6Pls5vojQ5+D6BDMMwDFMGjrUIS6rsanMjiUocP3HVGiEDNqMCAR270kHCUPfAWMD5uRObPOpo+MRhDI6aFSdffGQ9l7iDoGNwT0xxIBh3UgqlCSiFJuEaioMUjl3rjTz0TJf39TOGcUBxgZVCXtaU4lQEeCddGVEBgczoh60QIRQLvId76tqNaViwEt50QLYtH3BfN2/vpVt+s4XShBUIhmEYhjHw8NMHQgVd3Y2kHHEBEGiQP18lG2CNiAIyAPVjVzqbE+RMBAVFSzeupAT9pEAALYJ8JZXIiKMJr1CeTPcxSDCEW4mL8Oi7S552glMIzmllHpKIeTGsHVUw19cS7gkEYd9CijYWzCuORYHCorpYme6bfF/0Q3H7UpWJCg8FRz8yqe8KWzvDY+l+9liBYBiGYRgD81vr/R/kZdAgIOycvGZB4K6ob/YfExDeIDcFxQykQcbBxSfMGtDaWGOMk8Cc7e0ZFu4z0l9fKjsiiLYyI5QnX7FVL7S2YmFjvFz/DqB1/RJhaYdt7mtxxfQoI82o2aWy/nFEPtfpVXbxoUBGtRLoBR4zATOnji8orgRgrfgsF/VQWw9MqYaThBUIhmEYhjFw7slLvR7qvjUUXFAFELUrP7772cDd7JeecticybvvS+lutUH4sow9o/ysrykVoOA2g1gPUxrWutrKQKEfu+Lqu51tOSUEr+n3Ynf3SOoF0kwpdMPSDqfZFxWXtYc0r0WZkjLp9a2jtU4olK9+0eG04cSliVk2ppT+GyuHO14GayWoS3rIT2g9kUwuCUSasALBMAzDMJY6EEnKgL4CEgSSIgEkMxPnENatn/zh2cTdX9IS8FwwBR+byCqZb4QLlgewtARlDsKuuDqne3pGrcJzUAwKlJS0rRMz1zLHF8wFpqani4Tu+S11RYpHvUPwsmtGrv09w/Q3Lz+aFsyrp6/f/kSkz4bpOhlVwdemOegaONbnrrgqIrjfcMvD8UgCkSbp2jcYhmEY5iBleMxPADWRiWidgIChKy84H7vnYUAoS2PzuyKToamAQUBQhUtQGkRxaYm6y5zJp6jd1zMc6bpZh0rTSaf2DIw/MMwDBM2oxQNdcJk1NXMRuoiijOp5I4bAZhOq0pexXBvXuv4nT4g1HPWzYVIus0pbLu1CcdSLBNpApqrRcRRgzLmmHbVsHj31fG+gcopjqyqJmhuq6YJzjqA0YQsEwzAMwxgwZWZxAUG4ePiDbN4fXyVs9xnKg03AcJF9wtx7ohLmp+2jPKCdJOI0XK/lMwcYRXf/aKJ++GrbfQkqD2G770XVrJXXMxk/n/soINBfptsVGaryr+N3td9S8E7C/QqKH+qZmIDgjviWIOLMSdZhufi4tS2b30jZ/KxBeXns2W6nOcLnEEoGp3FlGIZhmFlg0NMFRlJTXUEnr15Q+FvfbT68s7lEeC4Kiowpt2Yt7kbFQZv+7kIQSpKybKCdsODsjIcLU5BLiNpn16w5rrvfPshLJ6mW+BRrU9dEfW1VYm5UevVmyb6eEaqqypRkYsLvIj2qdjzWfdyqzd0Do36WPu1v9A21H9S5wa8+6YiTAtW/VSuaqcihrkDCUoGej41P0R0bn6M0YQWCYRiGYQygkmtbc611R9PG0Ogk/faRYP/jGvgZKEiLRVKECVG2jVgImWnsvEdB7YXaJ1uwqkuvcW6Zwg+MQHEMK0yWKUP8ycDwRGL3Wa/eLMFuv08GL72CdhRwPZ+5yloUZTWrFobnk464wvH6WAdnH7dYWGn0wo+uldZ1BRIWimxekVi3yr/onw+sQDAMwzCMAekC4BJ34MOzewZK3FhcBRRXwSIqaVXeThJdXvWRrSE0J2FFMd2FsB19aXUJq+CdTanydspJoQQyYNtlnYbFioAoyt5QAp/XOHOVzbptCMBF8r7N++iDF59Eqw+bV6IYxLldUCSQBCJNWIFgGIZhGANwAegJqLYclTjpPX1cVsKYm7l5/JkNnWc6xn21HRYkLMetLE6aO5irYB50nGmnHxY7FOtLQuFBrQ7TXKFPQe37rAebS5uYI4faDBmDe5OwAFRWOGUOg0J5/W1P0JZdfca6HnMZViAYhmEYxsCijvpQIVuvDZAGaQkV2Yh9SUA2LAhfUS0qOBfuQLrrh1cbjseFuRwlha9eKfuPeYArjCtwbzl2ZUehmJ5Pn6TSgB+muIDu/jERh6Bb1CBQSwuNbd6xFtSsZaZaHbL/Poh2M24FAIssVSG1GQqZ0QzWQ7hiubqI7TwwJBQJU10PH/R0vVwHgmEYhmFmAeRRD3ue67UBTMCdIUhYC/PZjipUBCke+ntqlpywvpjiJ/T2bIqBHiwe1aKCdJwQusKy6gRmulJ+twFl6c0vXV22ug0+oP/o1pKORuo2WMpsXRYZfbZ10YH+Uf9r5icNPwYMrkLtzbUl1oFMPrEALDRqhjIVKCPThoKBtv7b7rusk6IfL/uNOUF2KLk+4wRczwZBNT2QfQnKpDwi7ToQrEAwDMMwjIFjj2gvEhqi7rwPj05Sz+BY2eMOghQP/T01S04UkBYUQhn+QUC07RInVdRM7hxHnTv1vKA2IKf+5qGd1NJQXXgt41ncLioubkC4b1t29QtXO7gOqZYI2/1ftrBJ3J801h2sBrq7VTafWCCTLx5n2rHHa1GVQb12SlDSA7y/p3uoRHF10Q9dYjYoX+cjDN+VAwUW6aBfeGxnqGK9dEGjcCXjOhAMwzAMMws8trW7SGgIkm+CdqgrKvxqJPiShItNXFEYu8sQyvAPwqItHiCpzD/lCAhWg957BscL91le2nRPIfOLlLJwsYp4X+T9dBGopQ6DlKld/aO08YngwFlpbYlq+YmzTuK66IS2n80pKmGZn/RpbaitjB1Hk83/hPKysK3e+XidtqYa43eJrB/yx8eC7y/Gv2P/EK1c0kLrj1tCacIKBMMwDMMYOOt4d7/yoABaKbAkuV+tChnY1Y8irKob3L4CVFjsgU/6ztnAJ2BVvbeYa2lFyVqqO4uUstmZWhK4Vz6pRRfNq3PvmyzCll9k4wbFAE3BhU4oP1mi7XsGrO2FXdd3ncyG55dvkoJhxB8koNhkxPqooG3a/PplCZs2VlDHa5hLeZ/D6lI8uqWLfvfILkoTViAYhmEYxsDerpFE20tq8xXCKAR4KZQizWyUwmdxPEaSzApUbjIRdsOlsoWd+7amWqNCYJtPuFv5CKjb9w0F9i1IIDXFF6CvI+OT1oBhFZdCe2HKqtqCPg4oX3p8DC4ZJxh+tqlQCgT2Do4bFQBX8Fm2nV1bUznzmQ9I+5zJp3H9/l1bKU0O3jvGMAzDMCmSdiGmqMjdbfzUK1rbsMmFEEjiVv919ecvVzajMKKId031NQXf+pww7j7XSbvtBDVnEixFIbSRSad+uLjajVrqWEglKxvSvu4+Jao/J1zfJCi7l4tVxNVqUJGPuwgCsQtRCgHqp4hMTS5rKZNzy+IYCIZhGIaZBTZt6S76Ww+arZrFzDwym4xe0dp+vLmvIhPS5IxAmNaI4HpRW+2vQCRdOM83m5KsXA3/cxQow++yUJlNKIyjMCSVIjctMH6bEAv3HRMuM97aWGsU7H1TtubaqqGLz1tjVIxx/1sawhVm11s47XAgUrr6WKAwZliSlsxvpCjgWtADOQaCYRiGYWbJAqEKiTIAGEIIdtMnPSVFV9nVNZ0q8sfrFa1tBPV1VIlXQMA3XCVm/k5OpRgZmywoYa6tugb7uigamQgKBKZNTp10e5Iz6es372ItKmdweBSC1oPpXkGIdxkSsgad9YLSmCO44viCz8TPNj4nBHeJ/BzDjUt9PYioK78iE89Sl8kHQ+PzHZXXbTiS0oYVCIZhGIYxcM+mvUYhEUGaoxFiDpDq1IUk3Tngcx4mNOuZpsbyYxNnJZjrE3ETVfkdZdeUmJSgopFNIHYjqnCYcZzKctq04Obii8nFyVR7Qc6Ti7COYzc/10u/fSRa3QLTnOnCt5x7FwXtxCM7cufk/0YAesZToaqtnimcZ+tnrihjpsRSp65RVxdFnZ/8fisHUTMMwzDMbGMqtJZJKTsMhOGkXHcg8AXFHqiVpWEd6OyoLwoKNXU5qlUiyP1FZa5uwq9Y2EgrF5ur+1Y4jAlKpynIWQJhErUcjO0bpjyKX72efSgJJcRUUM7HkoJjnVLW5lPkAvkTAnYUN6cgHnqmq6S2hW04lRnzePAZFt8ZyvtZY1HGbCrZzAaGJ+jmXz1DacIKBMMwDMMYuHDDqoJft6nQWtazirMPcTK56MAdwqWyNFy0uvrGioQ/VXDNaH3zVXIgHMcVemcTZEdC0TYTrnYNW5wAgCBss5DIe6LG4diUMbjByF30tImihMAqFmUZyBS5AD+hjLU3181qRrCJgKBzUaU+4sc4ic/J/NbwehRxYAWCYRiGYSzUVIU/yeNWcUYKS71CczbFQNsg4cTmc45zso5uQzYDxYH+UeuOalhe+6QxpSJ17UNUhRH3+PhVHVaXsvGJqaKYloxFKA27NnbzH91WnADAhHDNmQWFDlYxl8+Lnt61NCvRJO3pHqbZotLREhdliqF46JXI1RokUDbnNdUE9u3ck5dSmrACwTAMwzAGbvnNlqId1ig+4y5AaFd9y7GzL3P2QxBQXYbOPm4xve3lx4jdVxwXxZtI1JBwPLYQQOyhIdkODWojKK99Khj8z136AAtAVIUR9/j3j+4ucltRBXjd6GSdRwehziUd66L2hiIhVZ0NXbGYjYRjuQD2bCwXoDSZ0q5tm6OoPdTdunBP5X2dnJym/oD4EvQNMVxpwgoEwzAMwxh4ft9A4j7jJkw7+1J2gCCgujMhOPS7v3pauCXhuCjyE86znZaEnJhg3HVqwBISRfgMclkJA0J5iZKQ8FxNK/dR7t6bLFZQPi84+4iigP1sQL/UfiPuYNWSlsB4jqR28E2KkMlqolrwkswc5tPf6Wz5guBdCiEOj02k2gdWIBiGYRjGgGuKVJWM5/sQSiCMwZ1Ed2MyHb9974AoCuZ7XReE5SPkGNfrYKd+rtc0SAMUm7NlzomrLNjm3iRQ41JSQdLjkyFg19dW0ae//SB1NNd6r503/cVqOnZlOw3HtBpFFfTlPKqnN9VVzwj4KWmwqKUi434ytr7R7CP71lBbnep1DsGPN8MwDFMupqen6ZprrqH169fTCSecQJdeeik9//zzTuf+6Ec/ojVr1tCOHTtoNjj7BP9CTIHuJXCb0ZQECCXIztM7OG7cbdVfsbmm4NW4G6+2mAZVEch67NTP9ZoGQWD33rdmBIBy55s5pyS7VwapUUuFP+z4m1KD2uRlm4UFFi2sN7jIIDBcPyps1Bsf30s/vee5wnmm45H5CwXdglDjbaIsXcSTSCsL0sXKbExprbup6WmamMzSGWsX0atedLh3/EiU9RRVMcO8rFrWku51Um2dYRiGOaS59tpr6cYbb6SrrrqKbrrpJqFQXHLJJTQ+Hry7v3PnTvrEJz5Bs8nfvWJtURBnXCDY6AoAhDi4JeFnXPEiPYF9pme1HvNxMLgymYBgCCHR9l7SlGT3yhKNjE+WWDIQo6ErBWlMcVibT2zvLvLPNx0/NTVN/cPuFjyXcehT/8jW7qLPJxSSNGV0TH11VYbufWIv3XHvc0Xr25SRTF8r5YrXwHWQmer3f4pWV8MVViAYhmGYVICScP3119Nll11GGzZsoKOPPpquvvpq2rNnD915553W86BkfOADH6Bjjz2WZhMUYoqaItJXjsEuf5B44SO4J89Mz8Y858PklpU0EBqlsJ1UDAeKmpkEvnIpRVA01Qrh5d7FDsKhZEOsFKY29OZwf9TAdxEvlPL9kXFHY5q1rqWhpjgI3WOt4JYi7W5SdzaTr+x9wTlHUJqwAsEwDMOkwpNPPklDQ0N05plnFl5raWmhtWvX0n333Wc978tf/jJNTEzQO9/5zsT6ggrIvv/+9+dPR7oWXCmWLGgs2p0My+AUJpSpgruLDNlQV5mYQOIiMNrQLS6IjUh6Fx/z3d5SJ9zDCm41ZZSzIazpNDfkXJAyWu0GH9Q6I+rPIJIqQEjKPOpud+VgzYrWkteCxq+nfC0XmYy52FzWY+NgyfxG6h+ZjLxmTed95O9Opw0nLvP+zvOhvImXGYZhmEMGWBrA4sWLi15fuHBh4T2dRx55RFgtvve979HevXsT8wlua5sR6F2BJUQFSsDI+FToziLcN3buHwqNLYhKXW1VaADreECmpSSAoBplXKYsRhD+4uwcox/qfAPco7jtulJrqCmBSsCiHxEyN9XVVNDo+MzcYgxQSBBbMRmizWUTrqmGeZyKkXnKFVFnRLnMU9v7So4Jupenru2kjY+Zv1PSJOs4NR2ttaJIow6+YnZoazduH/Dn5296iL74gXMpTViBYBiGYVJhZGRE/KypKQ6mrK2tpb6+UgFheHiY3v/+94t/hx9+eGIKBIJG+/v9C05hV3tYebgjjSuE0jCZIW2hdXFHI23b1Rd4HZc6ACZaG6upbyg8/WMSShGExpbGGuob9M925cJhixpp+554wpkLe7qSKWYGSwWUDVV5kAwOTzgphONxzEURLC99Q2NUWVFhLUAYRwj24d7Hy688mLAprT39pcoDSOurAgp1f/+I2MzwoaWlniod06exCxPDMAyTCnV1deKnHjA9NjZG9fX1Jcd/8pOfpJUrV9Jf//VfJ94XFF7y/dfWnOu/6iEwFzILbThhSSKCB+QEPVBXVx7iOq8E+exDaPRRHtCWLUWqiXIoD0kSZKmYA8uuhJ6BMbGDDuUB98XmaoWMTKb7lpkFS4DJxSvpRAlBr2cU5dnm2uZbld0k78+fVyeUB9/vPB9YgWAYhmFSQbou7du3r+h1/L1oUWmWm1tuuYX+8Ic/0Iknnij+IeUreOUrXyniIsrNhRtW0cK2+iLhLWxzLpOCH7rO9bc9USIwof6AL9icDEs5GiSXZRxcx5LMPIO2ZH/LVWOinLEUrrw6QgrRtJH3BUHz+i0fG58yBoQHrYyocSMuljNdqY2aKCEqwoqpVNHWvy9cq7LLYZiMDAd6R0USiDRhFyaGYRgmFZB1qampiTZu3EjLly8Xr/X399Pjjz9OF198ccnxemamP/3pTyIb01e/+lVavXo1zQZtLXXUNzhWcNkJ8wiAAJVkJVzs3OpCvknwWtTWQCNjA0aBHf1Rq1nrVFUgsBn99nNNyhp811WCrqkDhcDH2yKKp45pLsPA2KorK4rSloYhj/c9zwUIv799eFeiGY6a66towFCc0Bfc7mmHWiYq+KQINzataGNY3IjIchSxn+VKp2pya8IPee/wGt7DZw5WEF9FpqOlTgRvm0CszPfv2kpnru2ktGAFgmEYhkkFxD5AUfjsZz9L7e3ttHTpUvrMZz5DnZ2ddN5559HU1BR1d3dTc3OzcHdasWJF0fky0HrJkiU0b968svf/jo3P0ebtPV7nQPCZmJoy+rbbkC4UJgHCVeDdsqvf+p5JkFcF/+lsllZ2Nge2YSOKIGvyE8/EEAmhGCBoPEww9FUeJCYlwObrjoxQC+fV076eEavyYBup3Bk3jWNeUy5WBO+haFoYukAaFFCehPIQFYy4f2hcKK9azoJAkDEobtyFDz4B+U31VUXV4oPOk0pEFCvIAYvyABrqqjiNK8MwDHPwghoQF110EV155ZX0xje+kSorK+m6666j6upq2r17N5111ll0++2301xkUUdpnIZp5xw+3qrLBYRz1QYRFs+czSJ/fe6gcnmmqII/hJhtu/2Vh6jgekvnN4p/kklNysJ8qn71YYpBOXaV0R+p7NmuBqFWFgY0IYZjGBPWDKxXtnGgcrR7atAMvez0nMVvNmN3dDckU6wBZgldsykPNlctNTgYa2RBay5eKeyzijXX0RxcIduEz/wNeipkQW0HuaoFdWl8YoqWzm+iOaVA9Pb20kc/+lE6++yz6aSTThIPhPvvv7/w/h//+Ed63eteR8cffzy97GUvo9tuu60keO7jH/+4yAsOH9f3ve99YgdKJawNhmEY5uAACgPckPC9/tBDDwl3pGXLlon38HPz5s3i+97E6aefLt6Xx5cbtZIrhCG4AulCEeSY0fGpIgEYwnnWw5UH1gmZNSlKRd4kULuIvP/zGs1CFl5PopgZduh3HRgKnpPJmcJgc6GAWk1VJTXU5hw3oroQqS4s+hu6+5hvMK0ESsgv7n+eksQmyNrWCdCtblF22bNhQcmZXFayM9d1hiqb+KxizXUNhFtw5sByIyg7px+zSBSZ8wXfJ7CgzikF4r3vfa94CPzXf/2XCHg75phj6O/+7u9o69attGXLFlH4Z/369XTrrbfSX/3VX9EVV1whHhySj33sY/T73/+evvCFL9A3vvENcR52qCQubTAMwzBM2px1/GLhkoKdZwhDUATw01QUrlwVisW1Um4fef9NbjIQqiani12FogbzYoc+bBzqLn4aFgZfAR1++i7uQ1EwzePoRKnLFawULgHGSDmcJLb1nfR8BGXZylj6BYvPj//wrJOVwN2KUyEE+CjJCcJw/cwMjUzQA5v302GLmun6D57rZGVR18m6Ve2UJl4zs337drr77rvpxhtvpJNPPlm89pGPfIR+97vf0Y9//GPq6uqiNWvW0OWXXy7eW7VqlQiW+9rXviYsDsjp/YMf/EBk0zjllFPEMVBEYGWAUgKLBJSKoDYYhmEYphzs7RoRqQ2ns5miwmlJC2dRsPrRZ8JdptTdYx8BEMKa7p5hEyyhbNRW5wrvzVV8AsZhAVGVGN+5C8Mk/JpqeUSp72EL5o4TiJwWQXEqQX2NosBDyLbNJ+YL1or5rXXCLU1dK/pa0LHFPEEBEBWrHfsq19dP73mOtu7qp5rqSqfA/Mr8uO7ZtDfVIGovC0RbW5swP7/gBS8ovIbMDfiHzBpwZdKF/DPOOIMeeOAB4eOJn/I1CXJ+I53ffffdJ/4OayMqvuW88S/JTBoMwzDlBN9fvt95TDHnn76camoqxY580tWkg1CfPLZ0pfrTUKaCDJIv9Ufa0Gh4wbigawYB+Wo2lYdMSKpXCGLrVrY5t6cLjAMjfnOXND6WHwichfoD2npIWsyxNYfrwLqAeKG5gkl5gHIg5wTvQuAP++y3NdUUzeOEpV1bxqQgMvkA+k3buguxNUFWEVxHxpoMj03OHQtES0sLnXPOOUWv3XHHHcIy8S//8i/0/e9/X2TXUFm4cKGoRtrT0yMsEFBCUIVUP0Zm28DPoDaQySPKg7StbSZYi2EY5s+dpiZ3czdj5oglLfS6DUfS/965OVY7Iqg6E5xKVUU9yjULqIuCo1/eJOhAEILbFnZdTd2trym2KoTtxpqIuvMtA5Bd9hKz2txhVxj9lF2FILZpm1+GLZWwMQftbieB735qVvkpMwrp3Qu6lxD8EZgbdqutb2cykbNgxc2K5IqMs0G7QWtU38zuH54I7UtUF7ysQSsbGZukxtpKGjLMp1orRcbrpEWs1h988EH60Ic+JNLxbdiwgUZHR0XaPhX5NyqRQgnQ3wdQKBBcDcLaiAK+tPv7/UvNV1dX8kOYYZiDksHBUZow+FAH0dJST5XlqtB1EAC3gZ/98dnY7eD5ryoPkFOgVEQpEZC7Pbld0rBc+fLa2by/v0uBKnQzSBnRrQphrhywbKGImHpUVLkP59VW5VzJfJUQfa4w/0nXaFCJqzxg7nwC612FbOxONzdWU1dfTuay3Uu9LoeL8hBEHA8Sq7CvKIRx0V2DsgGKs37NqZRTXO3vLbZcoJsm5UG/z2esKy3WmSSRnxS/+MUv6G//9m/phBNOEDm+pSKgC/ny7/r6epHn26QEQHnA+y5tRMW3nLfwe52NvGcMwzAJgO8v3+88phhkMekZKBW0fAOHWxpqijYRxe6vMt0Zj3ZxHgQWF+UByKPC3In0wNw4WY9gwRDuMRW5Xeckn6RSufFp0zSvFZlcmtikwHwFZSQKSmVqAvcXY6wz9FG6q8lbZLtVJhEGmZBMyoNpnal7CTZxCPUbXID+IBTnhLKIiaQGhj411lVFqmItlQcoEvinY/r8VGvXiTOupIO1cZ83bSnOcDonFIhvf/vb9E//9E/04he/WARES5ekxYsX0759+4qOxd8NDQ2iUBBck5AGVlcQcAziIFzaYBiGYZhygCwmJuHTdTNVCuEIhgwMACWi1sZiJcMHN6NReCpZVQGIs6sq3Z/KGTcShOl+qa4eNgHdBbk+XAq8oXLw6sP8CiLWVlWW9EfOK+YY68bnTjU3VJesabRvWucuBpqw4m+5YPqKQn/R1xqP+fUFbjt6TRFfRcLVMjWhKfF63CzmFJmc9DoxcWpHQAF1UXzRlbSzMHnfRWRguuqqq+jNb36zyKCkuhshs9K9995bdPw999wj6kVUVFSIzE3T09OFYGqwbds2ERtx6qmnOrXBMAzDMOUAO3iuyoJpF7go3WnAuSLwsboisjuGi7zj462TZoXfNDzkkg7MhYDubIFxuGcQJJGBB00+sb2HFsyrMwqBJiETSkmQIobUsj7eQQPDEyXHo/200hAfv6pDVAnXr+cC4kh88clypBM1JbFEV7plilm4f9VqaxRjUxXDoOWmrgtYFlxiSdCVOWWBgLD/b//2b/TSl75U1Go4cOAA7d+/X/wbGBigt7zlLfTII48IlybUc7j++uvpZz/7GV1yySXifFgZXvGKV4iKpBs3bhTHoq7EaaedJlyhQFgbDMMwDFOuLExHr2gTbhFhrieRg0vzgofJVcqXpPMGughUvp5OSQiqEL5kHAlAlqyzj1ucaObEKAHvJtClIxa3CMEPwi3u9QHNp13i6pZWLmxKlM8sP/RMl7cLm7xumkHo6nUkaSlR04b0xxjbpKLVBy0313WhjqYKWcbmUh0IZFyamJign//85+KfygUXXECf/vSn6dprr6XPfOYzop4DqofidzUtK6wXUEL+8R//UfyNitZQKCRHHXVUaBsMwzAMUw72dg/TkEPwcRzgc33msYvoj4/tDXSfkFlyEEg8jkJsmlyRtPzjIlD5Wk2SCC3UBUvM2e8e3S2UvLEELqAH1LpmmoJ1pSJTfC5O27Krv+g4tJRkRqKoQH5uQHC9xX3GNubUCxmWKf50upzVHw0kHcOPeBnE9uD7CspJ2nUgvBSIv//7vxf/goBCgH82EMvwyU9+UvyL2gbDMAzDzFYQdVRsRaDw2m8f2e0sWI1ZXIyipEf1TYeJYE+1sJZaYC+I5voqGnD0844CZMGgfrhmoRK+4yvbxM65VAoO72wuUQKsAe6UnvsXXJ8GRyaclA9YZ+DaFXSsiEnI5u6pqw9+FKXKV1BG302yvbym7X3XdiRp6A+V2rz4fr7ipKfFvUbMBeo/lEM34qAChmEYhjHg6wIAV6cg0kwbCuUhSpigr7AyNj4tskoV/g5RHqSbiK48QPGIki1HB7EELu24KA9yPh7eklMeAG6Zi/JgwyUzkytwfXK1XGAn2uVYWCAqPRdOTinIhgrvuPdSkBXWDsfgX5u7oLwm3kdAOiouBzEbBoap6WzhnmP8sqaEC/hM6H02ZYQKmru9PcOFNlYta6E0YQWCYRiGYQzABcAEshSZ4gPSdnUyCSKQL8ROawyXCNUVPCzuAUqQa0XdnEBkluKgeJTUZiB/ICiHCbO+gdtJCZ4Yf1hmJhfUyshhx/i6AUEpQSC2Dy7rDHOoFu7Dz2HH4N8wpRTuOV39oyL2ZTbJWF7HPYf1R2abcu2lCGbX2vfR7TB3qnvf7/8UbtWMAysQDMMwDGOgZ6BUUMZuN1x4XIVMuO64BiOHHZa1CHMyx74PaoabIlkzO2M1iBqTjF1TWGMgzKhtr1jYGLijGsX9CkpbeBVgSgwfq0lSQcAuukBUt5eg0+S6jZI5KyyLle/SwrqRFgxktPIhSjanuHM3Oj5VsAC5ZPTSj0BCALSvZ7ByBffugnOOoDRhBYJhGIZhLCkvSdsF9M2UA9cdN3/tnMAQBmQRk0DnIkCqwq9NuMWrsBpA6IqaHnVqeloI9vou+PZ9Q4FiF8bm47IRVWiOU0DO5/6nJbiWA9wG6UoURQELs4BkA9aAPm9yTYzmhek9PXYLmElYx1r3TdFqtvbls385Hq/OBeJM9HGhPfmZxHcMxindn2QWsKgqaFN9Na0/bgmlCSsQDMMwDGPgxScvzbkrJZ4g1U/gwm4+LBnSZ72pviZR4VcfXWVlhRC6bC4n2AkOmpGoKSlxni1OJKlYApOfeVpAKfRxD7MBITNujQJfcBuCXInS6o7uhqMWdwtLrYt5gkubCds9txkH0AzWnKrPSpcs2VSVohBkNeubDj5L+rgwHvl5wHxjjGOTdjcvKBwIpA8DvWqsr6KtMWJ3XGAFgmEYhmEM7O0aEe5K5UgrGeTmgN18GYSMbDlBPusQkIMqKUMw0i+ljy5svBCGos6Ii6uWCV2xyDjMJywN+lghFMO9xBUoS1FduXAdOZWumYNUYVhUiM4rXa7nlkvP8Ln/5eoT5sk3UYFtqeN1xDIENTdtOFla3zIOx5ouHRT4LqqdK1nhbPOKdvd0jdAtv9lCacIKBMMwDMNYCsmdtGZhogKQrdiZSE/p4WNv25GHgBzkew9B1LabLV+27fTWJ1DxWe7g6tMQtsOOar6q61GQANvaWEOd7Q1CGDMNJePhbgRlKQn90dfqMTmdLQmqDQO733CVCQLzfN7pK4SLS27HPnqsiyvlCnXOlFlpmc7aX8vqiQ4SuqZqwZvtsoOsQDAMwzCMlfiZglSC3DCyjj726ENQdh+bBQE72rk89fbrBzE2MRUqoErChFK9i2HHy3kxKRryNfyAknHE4mbaeQDxFu7jTLvqsS/OFgcoAPnJw+57WK0NtLt9T5/YKcec4j6UqW5bKHE+W7jv6jCWzG+M5fYl4x2SYCq97M1Wmhtq6MINq1K9BisQDMMwDGMpJPfg5v1FgomeZjEOUQWUKPIeMtdMo9BZDGkRp4YVHEPgNYblexmbkKXWDoBFQa0roFObL5wmi8DZSHvHPWmCsg5hPsJiA3Q2b+9NrBK2S4YhZ6QimMmN2SfjFeYBSgTWH+IE1HoIUWhvrqWO/LxD8XZVnG1z4tsVn1m1RH1Q2rACwTAMwzAWF6bWxmrr+3B7ycTw6y/Xzi+En4GRiVQL2al+/9mEA5FNWZPUuZOCoq3mRNC5XoHMlC42IRU1D+YSamxJ0vFBwmqQJVFrxDXjFc6RaVPxc3/vaCSLknp/cX20Q/lUqrICtqvyERe44ZmCsTH3LgX5kEEOGyBpwgoEwzAMwxg4YkkL9Q3lUrmaEMGtil+/JCwTqYsc0tlWl0gaUAh6sBogGHwuYBPCbIHfSCXqulseVoAsDvJegyib7k7VskcmRZyJVEolc8XFSAq2SzoaU+kT9D/xz7CjH5QYIKmsWtmA11XrVxj7HQstquirAy6K+Mzq6wb9qK4qViCyFhcmbICkCSsQDMMwDGMAaRBrqvylRbgKBeEihyDXvbqLGlWVmKkEbL8qCrwlTVuTOcjb1g2b8N8zGL+Ss0qUomglRHCud91NH8lbcOaS0qBy2MImryxWSVhtsPsfphzilvjULanN17gIazMpMiHvZw3HjE+WVmvPBcrbraKS0fFJ2nlgkNKEFQiGYRiGMYA0iOOT/pKciyDju4stexFVpgnaPX1+vz3gOCpJC/5JEceLKyxLVTmxKWg2wjJvubJpW3dggLp+zXLNFNa3j5WtOm/RyOQ/ryce2VGYI2ntiGrZqDZoqS5NmY7Rm4Jb0/7ekZLjMto9xlx8/66tlCasQDAMwzCMgeGx4IBhG9g5DAMyaBQXJd/8+3A5cemLKxCuROxHQruzLs3YlK1EA3hDEMHhjpfzCf4NIxNgqfAha1hvS+c3Uk2Aa1BcggTwJOdI4hqPgTU8PJr7bGfz87B190Chv1Fd4TIUbu0rOt4hdkpXeFEDxvT9kqsgX/zaWccvpjRhBYJhGIZhDIyNFysQriIPqlebdiF1XrCyPRFB3CZIQ56Au4MMQpbHBcnd6LYpaFmvMxEkI/mMCUItgoeDlAFkVwoTGIN85FWw02w7Fn2xKXVqUTgQNEe2Wh8+2ZX0YFp9OZnciMLmHZYTeQjae9npywtzWO7EVFhDSdQViQLWsHov93QP03hABWhXKir8FJkTVnV4W2iynoUw04QVCIZhGIYx0DM4U/XVVcqCYDY2PlXIzBSkSDyytSuRANAggQXuJjIIWR6HAMsz1i4yHl9bUyWCL6MKlBAKXaweEvh4j4xNUkWmNMuRFIhdgqiDdo1xL9An7DRv2tZjPRZCrWv2nqA+VVUGVwNX11eYrjE2OUUrF7eEul6hnfktSH1qv64a7I/2bvjpk4XxzndQZuKQMQUmO1hRbPMIhRMB9klYNRpqqxJJaztluUc2xe65fcm7DorrEVFLQw2tW9VOacIKBMMwDMMYmNdUnI5RFfabLYGMECJw2NhkropwUOpUX4EjKWCVGByZMF5ndGySfnHfjsi+6xAKez3jHzAPmCf9mhCI4wQ9S2EagjPc0aBMBd2PpKZdCPOt9aHHQXgP26yG1QBxB2FkC6lPpyMpnlEyB/kQdT0hhaqKtFSh77orjy1QXSqQ0kKgvg4OaGNP2jMuY3gNyo4aK4Vjmj1qTQSBWegfHqdNW8LXTRxYgWAYhmEYT8F0Jqln8iSVltIG6gpAKM1Yi8XZU9f6AmEMrjqqa5Br7AcEOxdvEJMihOuuW9lW+NslwDZuoLoE1aDhFhNHEJVBsa6BweUO626qq4ql6LqeinEVW1X8R4o1BDc4PTsaaoyYWkxCga9XXNzUNZxRlEc1GB2HDCVU3E9+xtgCwTAMwzCzQO+A5sKUB7u8QRWZTYIj4iKCgJC0akmLt9CJXcsgf3wT0n++Ut+S1RD1CAyHoI/YCXbpa011JbU01hS5Brm6CZkCQ02Y+gGhLawiddB1bWNznWvskMdJ1iTHPgcSPhkZHJ2Mpej6nToTuxElixbOhVKsW7Nsrn9RM3VVVmQK2bFsLlHyiqaaIklm98JnjC0QDMMwDDMLtEWsKKvLARA6p0KkEiglW3b1ewuMx67soFVLWiP0Mti9Coh6BIZDIDi6CshQVrbtGaA0kTvJcbIy6WfKsanpUvE75hqKXrlIyp0GCmpSLjLlRi3iZ0KPfUCsi/oazkXWJX25J5HFq0JpApXQ9fTFYVdIQ0GE0o/vLrZAMAzDMMws0NZcF9utAUGgueqxwY/bKLIM3BQQSPr0jl6jwOgiIDlnlqrM7a7i+GyAW4tph960s6r3LY4oJy0artlvTNjOVOM5IBzC9Wv73gFRKbwcJCVgQlmsqwlXIILWuc89CqsenSR67EPv4JhT4T6kW80keH+mDZdMK02u7Lfef8x5bXUl9QyM0T2b9lKasALBMAzDMAYu3LCKOjsaxO9R3TUQBIo0pWHnRxEUITjfvWmPMasQBEabQK0KHVmPa0GYFhVzM3a3lrBsNgvm1Ynz0TfXfpSx3EMJWctcoFK4K/MQwDuLY/AJlA5apy5rBQIsXIVwf5EJyMXlKyxQXmY0c0XWeHAZa5oeYlWVmdCNA2wARFG0dFcoCWJm5Gcwah0bV1iBYBiGYRgLe7uHrTvyLlYJ6cvuUlwuClF23bOO9QtUK4EYhzzOQ5pDDQMgT+nuH/NWxlwPR40HuK+YwPWjZnSCNUcUXQsRBm001lfT2sPbhSIh++LC2cct9kpNqgraaesrmEtYnOR1JVBmpasQFJZKhw9JWMwBXNR8lkw5w0YqAoY3v6U2NAge3wuYs7C6Ma73U/06QHraNGEFgmEYhmEM3PKbLVZhF8K2qyA85LgjmgSQ16LuduuuRkhVa3KDgsBnkwv1119y8jKRQlPWhlAVHldBz3WeUVdDTY1Z1Ea+364ZoKD4yJ1hWHPgUx7VCoVsO3B9QjuIn2jIC95hPPDUfnr5GStKXpcj0MeCqa3Mv5a2EI25hMUJ9/usF9grHuMYV4LW7Vyw4JiYDphoWKlcq1pjbQRZIrIRLahpwgoEwzAMwxjoHrC7fLgKBkG4CrMm9B1LubsNgd/VKBEmlPUOjVstHDZhWm/ytj9up76hcdEWlUGoRSB6UJ9cM0BNTuV2hiWIM/GpsWBTJNE//HSxXuGYXz6wo+R1OQL4upf2O3x8qpVCWhGignXwu0d3UxLY1q0tYD9nVZqjmoWCyzxDeQhzd/Lh9GM76YiUg/1ZgWAYhmEYA32eBdFUEPcg3XdsxAn6hTCrKiDLFjbRupXt1FRnLnBnwuXyuIaPiJZ1GGOQt0YaAmGUWdYVRPXvJHroYs0YGpkUVc2DlJww1xfjtZWfPhYCG3UGRcaFsFTAUKCCXLhElrBs1tnNC2s5jtIelazDPGN94X67xENgBHCpa9DiS2R6ZfDUcz201aBMJwkrEAzDMAxjYFF7LoA6Cks7GmlsYiq2EBkk8Mjd5kw+VuOZnX1FO/2QJXx86AEKbhVfH0Xz3PH1ea/SJMg4SlUQSQqOaWXW0cFMTAbMB4TOuFaRJED18SBsSgLuNeqEBH0+wrIpyVoZcp0HrXfEUugWGtdVkYReW19baa1gD0QFexEPkQnsB47bdWCIhrWEBZgH+flBFqY7Nj5HacIKBMMwDMMYeMv5a6i5YaYOgA+bd/Q5u8voyF1ICBwubg3ZfMCqLBAngXDmK5Bjx1u1AuhthgGBN0xYV9sPEpCTEuxQCdsWG2EjSA+a31pv3flPen87auD2XCLoFqvrS95L35TJWOML2xpEnI1N4UCb85SaHjNv2NvFLcZnEf0KW6YZJWGADWRHGnCo8o4xCMufnA+lm7Ifstihrft47/zTl1OaHPwrk2EYhmFSYsmChki7j3EESaR+lQJHWFpUExB6IMxAOHN1U1JB5eioY8NctTXZC/DJFK5J4dLUyPhkYOXwICUHrmg6e7qHxfxCiUjTIQYKpE/2LtM6PRhiBAC6uXJxzmc/SrA6AtURa2MDbWJd62llbdfC/X3FmYc7VwPPGuKSXNEtDpgLbD7IvqkZ0FQ6WusK1jB85mWiAlCOCuasQDAMwzCMJQvT5u29hYcxHuw5P+Pwc+M8v+M++5E60ieFo559Ce4PNuB7vf640qw76g4pBHZgqgEghaKoci1StbrmzZfXgPLgu6sNAQ7nm9JwQgGCqxjchyC0RamroWPq3/jElNc8mYTGpPSHtNWQ41d10LEr062cvG1Xv7NCjvgSJADwUeB6AxQYPUVy0H1Tv28kGe1v/L6/dybLE34esbi56Bh2YWIYhmGYWUAWYsIun8xu1JDfmYxambocoJ960TDdyiCzNsnjfXjw6f0lr6lNtDbW0hlrF9GSDnNNhqg56qE4PPFcr3MGLHVcUXa1cb68li2LDlxSXNOyBmHqH8Ib5BiiWhJcKjK7kPaG9kPPdAmBPU181nmunkUyo146v5He/vKjrTVKbNcpWr+akmk6BXMoX8eaZBcmhmEYhpkFpJBbUzUTS4Dd7B/d/WxB4IuqR0AYCFNCdJkxzm6yHo8RNa3qnu6hUHeg3V1DtGVnH+3qGrIeMxRQJdc2LxDqgmIyXOMFXKojuwYKY11gt9qEniUnKpgOF2EWSmKUqsZJoV4bO+6+409KYE9Ct4eCnUk4HXTv4FjgOg9blz7x8lA4OY0rwzAMw8wCZ6xbJAqIjU/ahVaxM+jYXpGrSzb3Ty1Yph+7uKOxKPg3CfkqE8MlCFRkZo61BUtLC0iQu0iQRSBqwbZc/8KPmc67J/kgMgZZFBSbAqFnyXEBQfO456qbnLVyeMbgdqW8iN98s3B5KcD536Xvv+oKh99typ4ICp4lC57tuvgMqO+NTU4lZnUZGZuib/zsyZKCknpfbJ+XsHso3JsqMkXHwfWO07gyDMMwzCywaUu3iAeQQc02nCsqG14bHZ80+tln84GhQWkfga8cpvYBCsA+xY/aREnQKSHvfkWkzEZJYho35tFFyRpzPK6kfYuiECeTasYwBgjeLm1iDEFCqEgDa3FhihsbIRRgbV50dynbHIug4JgWvMC+BbxXYdEgRLpi5cSg+hsuZLS/Tfdh2nCPTfFV+rxmTPUwprNFx2ENcQwEwzAMc9AyPT1N11xzDa1fv55OOOEEuvTSS+n555+3Hv/000/TO97xDjr99NPpzDPPpMsuu4x27dpFs8G6Ve3CAmFM/xiB2qpcdiSbn7sOZJ2ufns1bBAmB0tB0SSYQKjZ2zMceL4uSOEcCIywMPhmNkoS07jj7hiLtJiW2hlwCYljGbGRjSnQB/UJbSLg3SQzx7Vm+XbXNj5bN/A5gZKacbDY+FhZzIUNMyXWgaD5KbLyZIg62+pKjok6vS6Ko0vb2BzgGAiGYRjmoOXaa6+lG2+8ka666iq66aabhEJxySWX0Ph4qQ9+T08Pvf3tb6e6ujr61re+Rf/zP/9D3d3d4vixMXtmoLT41QM7hAUiTkVqlcnp6RJBJQg1hWR9TaXY8beJSrbXKysqjIJJIed+SB/SEDSjCstp10TAWDHnpow5EDydXdUC8vNDkTON33ee1SB4G2hzYHg8cN6C7oUeuI0/V+X96n2XBfri0ufcdUl8TqA8h11HJjcwkUkp9gIKS2NdlWgf62VPz2igBQ+fW/yMmg46SlwL7vnOA4OUJqxAMAzDMKkAJeH6668XVoQNGzbQ0UcfTVdffTXt2bOH7rzzzpLjf/GLX9Dw8DD953/+J61evZrWrVtHn/nMZ2jLli304IMPlr3/yPev7xIjk0rUQFXIKaZd1YxjEC/cEgoFpLSUjllPtxspM8HtwTd9vY8gpPcrE1EpwXlBKTVh3dGJkrkoF9xeeh6acrVEqe49OkEWJx9cg+CRmSfIRS2oL9lstiTzz9bd/ZEVwKA6DSpyybrM08Qk3L1KDxTCPaUD5jODlM4V4VaAl55ymPjOgGtZlPueDVBwgm4D4m++f9dWShNWIBiGYZhUePLJJ2loaEi4IklaWlpo7dq1dN9995Ucj+NgsYAFQlKRf0r396cbEGiis7047SKe48gw5JpGtEqTtCBY9g6Olwg2jYZiZS475erfcfD14fe5ni7ER+1q1iGuQWfKoSp2yXWyRM0N1cYx+1iP4oDaEmcft1hYQjB9iIOBkhcl8DhIOQxTBHDvWhq0OheOhdVMJCnQy11929pNO+3s4Mhk6OcG7n533PscbYkZzKzGT2DzQq7psDGedXxpvZYkYQWCYRiGSQVYGsDixcUPsoULFxbeU1m2bBmdccYZRa999atfFQrFqaeeGqsvVVUV3v/e9pdH05oV84SftcRHeJo0HCwtAmqbvi4USRYXTjsZTi6moEII5VEEYCks2c5duqDROh+VlZmieXblgFZDQwILSNrzhfEi69dvH9ktAmNlYT4sm6i1LMIUi0x+HnVgnYLVoDZGOtooKXNdgHUkSpV2G5gDX2XTBdfNBhv62kZ7WAcun6V9PSPe33k+xK9+wjAMwzAGRkZGxM+ammLXj9raWurr6ws9H3EQ3/72t+nKK6+k9vboVWqxk9vWZi9qZgPndA+O0w0/eZx6B8aMO34oMheWpcmEmnnJVxBKKF2+IImmsFON7DZmd6nc6xPD0QSpqamcG41NeN61f8ie5jTC3AL9Wqo7jItPfpx6BnCf0vsMRSJqu+pYoDTIW6TeKhyyt3uktC95JazSIq3mqrLj/tr7laSQn6RgLkHBtbG8gqbu9AetuXIybSwwGN4x3JuLXrI60veeK6xAMAzDMKkgXZEQC6G6JSEgur6+PnB38fOf/zx96Utfon/4h3+gt7zlLbH6AQGsvz8425CJysoK+toPN9HA8ITYnYSwVF9bJdyQJFGUB9sDX5cLfIUYtFFdXRkpBSUCQ1VBECLj8s5G2r7HXgxOHgfrgjonan+a6ovnSz83bHji/SA//ZSqMKtz79OKj5BvGr8ppa9oMgFpNsjlxlTLQqaBnZwyu26hX6ipobrXoB21KVVpKSeuMRDDo5Mlu/nYcJjfUitSHON3tb7FXKKyMiMUbBP4HljUWkc9PcGfX52WlnrxvecCuzAxDMMwqSBdl/bt21f0Ov5etGiR8ZyJiQn6wAc+QF/+8pfpQx/6EL3nPe9JpC+Tk9Pe/55+vlcIGACuMFe86SQackhd2qSlanVBl1GgrCzpsLvn2NqYmIi246sL26IOxf5wpQvH2RQE9AfvZRIowudLnEJlMrtO2qR1ibTcccKAsI16CiqzoTyEzW2bFgyv3+uVnc20sK1hpsAczVGy9reExWrK/zvPB1YgGIZhmFRA1qWmpibauHFj4TUEQz/++OPWmIYrrriCfvazn9HnPvc5etvb3kazyS2/2VLYUa6tqqTv/3ar0U0HwiqyK0kGtWBb3yxHALueKCTnfZ4mVLgoILasUrYiZL5kLcoVhBzUKZCB1olWJ47RdRfhu9yCJdL4wprjQlABOYmexcuVoENhjbO5FvnG7fhWSPdBJmYwgWsi29mOfYMFF6xy2B8yGfc0ty7WrgXz7BbepGAXJoZhGCYVEPtw8cUX02c/+1kRw7B06VKRlrWzs5POO+88mpqaEnUempubhYvTrbfeSrfffrtQIk477TTav39/oS15zGyBtJmTe3LZVCDwZpQgaexgDo5OWM+NsgsrRQNf7wnhZlVTWVBicD4EYgQyIxWsyb0DbjO6C1PYNdqba0UxOV9U5aq9pZZ+9+juGVchy+UhfNbWVBb86Z1dnyLiMg8+Pvg5BTI4hsHkwqYKl0311bSovYH2dg87z7utTd3CEjZarB+pkNiORR/V8UEHU6fRdx0/srU7VixJkIIwOJKzimUt99WmuKeZGjabdU9z63Kf61IKXi+6bupXYBiGYQ5ZUAPioosuEoHQb3zjG6myspKuu+46qq6upt27d9NZZ50llAbwk5/8RPxEHQi8rv6Tx5STCzesEukiJbLyMgQbXbgZDQgWjWKBiAr6pVtAIPyNKq5NWZPrk4e1AQqKLVORD/t7R41KAwQ1dcNaZCJS5tcYzF6VjD1A5PdP3LQQng0quB4DCaVh07Zu6hl0L6iotqnu5mc93bVWLW4JnRNZI0UW4YtrvJKF+6IUDwyyZEFBEJmMIpybtiUia3hNn3cR56TNiWntNNb5WTOiwBYIhmEYJjWgMCCmAf9MaVs3b95c+BtF5+YaeFjDpUEn6yFcwAIBAS5o19pmAQjamXZFBEQvaKTt+4YSyS6jKyhJE6V745MJuVsFFIGLynTWvx6FjShuZXCNaayvNu6sB7Um18rmHeaMaXDbg2KTsz7kCy96Lq6gXf2spXigUDAzRIfl13TJeRFvoFRYYJGbK3HT00o/sJlx3qmH0dZd/fT0jt4QK1hWHLd8YVNqfWMLBMMwDMMYuGPjcyIDUxKEubxEUR6QY99ltxxNSEErrvKQlt+/3Ln+cwOK47GHt9Mbzj2KGvPxH5n86xAIy2Gd6h8eFwUQfQlbKwN5V6DVS1uFixysBqb1GnRrfZejUGrygrVJeYhDVqmzoOOyPNcsa/W+pk/cDzYyfnT3s8ISFfZ98vBT+8X3V5rEWrpf+cpXStLrPfHEE8Ln9YQTTqBzzz2XvvnNbxa9Pz09Tddccw2tX79eHHPppZfS888/79UGwzAMw6TN+acvL6mkPJeAW085d0ohILleDgG/JuHINp1hqTKTDqhVXdN88VkREPSe2dlHS+Y3CiFbFVQhENZUp++rLtKtBkzvPC0rkSuj4zlXoKd29NHyRU1eGcZ8gKIMawfOqwoIgE4K01S5fM42Wyw1QB2yVB7FtULahUUEnyPf9Y80rutWRa+d40LkO/Gd73yH/vu//7votZ6eHnr7299Oy5cvp1tuuYXe/e53i+A5/C659tpr6cYbb6SrrrqKbrrpJqFQXHLJJSJPuGsbDMMwDJM2RyxpEYWmyk0mwPpQyFhUhj74CEgm5UbuuKtgTGrbGI5LtWK47rgIulJpCWszSq0Mia/OBkXhxp8/JQLx4xZa01OQulJlEdohmNrS8NroaNbSoBLRtt25BAOua7vgz+9ggmlvrhOuTLBwIAtaEkq9KbZAFM5LacMgq/w+v7U+1PJQW1Uh5qa1sUYoGSbXNVsTGALW9z2b9tKcUiD27t1Lf//3fy+E+sMPP7zovZtvvlkExn3iE5+gVatW0YUXXijS8H31q18V70NJgI8rguo2bNggUvxdffXVtGfPHrrzzjud2mAYhmGYcnHJa9aV/ZrSRcNEZ3uD2N0P8qmHABHX5z6bRDC3pWaG2rYcZ5jghvZcBF0IW2gpzMUj61ioS8dnXtUhbdnlJmCbzpc/ESfTUFctfvcNLpYZw4AUXsPicmygOruOqyUsq7jr5YL3w6+P2I2p6VymMJBEdiZU/FZBk2g1jcxPoLF2Rpk+0DcSqjiOTU6LuQnK7mbrqQyyHh5Lxv0yMQXiscceEwL+j370Izr++OOL3rv//vtF6r2qqpmJOuOMM+jZZ5+lAwcO0JNPPklDQ0N05plnFt5vaWmhtWvX0n333efUBsMwDMOUg1t/u4WuveURWtHZWAjcjAvqIATtuuK9oJ3FvT3DQjA3xUzI85DyNKkaDuUAwlSShc+EAhYiCOJeSisF5tWkv2QNbbjOa2tDlbgPcZBKlewG7jmEabjzmCpHuyLdZqIoDyDuJn0mwvG2NR8GdvJN7dkUhaRqkVRr61lNPOBTvV4Wd/Ophi3va0NtTtlMC2/bLGIS8M8ELAmrV68uem3hwoXiJ9L14X21Oql6jHwvrI358+dTFKoipAL7cw3qYhjmzx9RFTbC9x4zw0//uF08jLfvyQdrFnbLo9V2gJAsBQkImH3DpTv0ckdWzb1f5MseIETVVFeI3Ufbzv9cQh9fVGE2Kqq7ipTN9IxAcTaj9XsbJfuV7fpR6m8EgfXc2d4YWrhQzk/c6tLZhI9HPAEUKpNyh538kgrNlomVboM4Br+HKSyZgL7hXNv7WUumLJOLm9qOrT2kVR6fnCq5L0hDnSaJOneOjo6KwkEqtbW14ufY2BiNjIyI303H9PX1ObUR9UHa1tYY6VyGYZiDkaam2Su69ufCGes66a6HdpW8HlWAUgUcVcA0xTtEsSAg/WQ5BXH0+6wXLKY/PrbXyRVFJesgTaN9mVYVlhnfa6jKSlNddZGAhvmGoiUCcyvhyjMlXJaw0xumOAQpkHgPfVbbwGuvOPNwkUGHAgRB9AXzIs+FoKuujSiFzGCtaGmsCXShwlgOW9hEC+fV0UPPdFmvpf9tUnJng6mprHM/glyU5FtYAy6RKdmQtZH1zJRlS+ucDVFCZYFIFawbxHBJC8acVyBQJVQGQ0uk0N/Q0FCoIopj1IqiOKa+vt6pjShgMfT3D3ufhyh2fggzDHMwMjg4ShNK8TAXWlrqqbKcVc/mON190TatfEnK7VptR7jo1FTSsGeQrq/ygF3rqqoMYZ/UR5iEQP3A5v2FXW/44+NZre764jf5V1TlQQqYtiq/uaKAuTkK67+MGVC7oit/pm7WVFXSXQ/PKKK2q6AvcHEbGpssCIpq2xXazrhJoNT70zs4Flp8DtccHJmgZ/OV1vU+4n0Iqbrw3VhXXZhXF+UmrUrOcdaGibA+ysroExPTRbElAFm1fAPjAZrB+kJsRnN9tYh9mJyaimwR02M85rwC0dnZSfv27St6Tf69aNEimpycLLyGLEvqMWvWrHFqIypRtDB+kDIMc7ACYSzN3ScmGFthuCRwKS4HwTKKIGNDtwDg+r99ZHektiAoLZhXL3a9pQJhspzUQRgLyZbkIpQmdReM1p1Mhl79whUF64ItCxOKybkgXdxM91goO8rfapPy/ujnqGvQFjSNa6K2gM1r21Y4EEoH1rlULHxctOBqB4tZ2sqGsGLFrH+iuz3Jz1aFYb58PnP6PZ6ehhI7ZSxc6QsSLaRNohLyqaeeSg888ABNTc0M/p577qGVK1dSR0eHyLrU1NREGzduLLzf399Pjz/+uDjXpQ2GYRiGKQdnrLNvWiELDnZmTdl6IKgl6dqhpySF0KEHaZrIOgZnuwDhNIpQYtoIhRB7/e1P0JPbewLPDVMeQF1tJS2d35ho+k25dygC5x0U9Z/8cXvgMbLuQ5pWKZdd+LA++F4zl1Y153Llcm5W+XzA5z9okzypT4/IrqRa5vKfBdflgsNeceaKorohsrlsSCdD145uParIreck6B+eEJWoDxoFAilXBwcH6cMf/jA988wzdOutt9INN9xA73znO8X7iG1AgTikgP3lL38psjJdfvnlwupw3nnnObXBMAzDMOUgKI868tLD1US6yKiIarYB+eZ9wa6mnv/f17oBAVOeAeEtStYjKEUZZRwuQrtNyMLrpqDRKHOzr2fEOf2mi+Kl+rC7eIKYMuQg9iANJxLf9RPWf1n/IEkyIX1AwDMCwYstKJnIVbl9zsulkS211NhAHAHWlylmp6qyIjCdrq8ShO+NpKyG6G7alagTtXHAQvC1r32NPvWpT9EFF1xACxYsoCuuuEL8LkENCLgyXXnllSJgGhaH6667TqSGdW2DYRiGYWYbFzcLXVCJurPa41nsKwgI7tgF1gOLdaSSIJUV1bUCQmFaOfMhlEFBc3UL8/GBtyletgBV1yHqa2FkfNKcMad2xke+odYvRiXj2B/V5UbI7oaxSX97BI9nEwyKFsXhqopdpSoyGZpSOmC6XXHc/cJuv2lcYVmx8D7mbtueARGAblKyprPTJJ1lXNwKywHu/drD26m6uoLOP30mVGDOKRCf/vSnS1477rjj6Lvf/a71nMrKSvrABz4g/tkIa4NhGIZh0gZpEDdt67IKGlEEhji+2EkCAW9solR56OxooP09w0IoC0obqwttJmUqih+7qFRs2WaPKmS6ZHCKe1/004cMqXSxU37qmoWF2BHfAHfXLmL6pkLWqMmdKQm3O1xPbztM0Uxb+DaNSxYcDLqs6FN+YZiOm5qe6ftcUB4AArC37u6jwxY2p34tjhJmGIZhGIv7wktPWxG5uFQZEqEI32ybK1Ful9mvvZ7+Ue80tY11VfSqFx1e8jqu7esqJVxMEgz+zyQUUIqxyJgXvX0TJnmyvaWOHnx6P6VN3OB90zh1crEE/gvctFRl5WSn8yPGupjOyiagUE4npDgk8V2BqYFFEcor4otu+c2WJLpmv16qrTMMwzDMQcxze/oLwoT3M14UpTLssCeoWEyIAlKlUgyEZrio+OysoxCdunusB2/bgC84sirpoFu+u9pi9zzB7dxsUu5fWXM2Ip+e7u8dpWFLRqM4RBHkg7BlXZJAYUWwbxRFpaOlNDU+FEaXEWA9mqqDuzCbBoLa6oqypF0ttxWEFQiGYRiGMYAsJk8/P5MpKOspFOB4fTc/G+FBHxQkqioIap9QJE2XScJklHHN9aS2yk2BQC2Ab92xuei1eU01kRSlOEJQkoqZTlzZrCJvjUlDyIMgD+HaNP4oVqgwoOBFCfbF+AdGJsyZkrTXTF3GNZOYPlfFOCqV2o1wycDlUljRd66DssglASsQDMMwDGPgW3c8aXXnCdp9jSqw2QTg+toqIZCbrqMKpPU1VSUCl9qkSUYJ6qpPliQ96Ll3cFxYJoJIWrCdK37otp13WGPSUnJwr03jh/DaWJt+TQAXMH5VUMZUIAWvyc0t6q0Mm960vQorQixoIuuVoRNJ6g+Z/FwHZZFLAlYgGIZhGMbAgd5R63tBFoiowoBN7oDbCwRy23XgwgIhzCTwl6vImglTLIMqO61e2lqWOJFyU2XQEg70jSau5HQ0lyqVUVySkibolqq78VAwEcODNMiIo0liKWTzKXThwmezNCRZYFFHvb+wRCCAX/1br0uRBuXSo1mBYBiGYRgDLz55qXHHGIIAUqCm6TKjEiZ0TqLqeAR/9PqaXBE2tUiWCRd3LVfUXj69s89JmIozz0neI8iCLjvcpqrT8pVMgmPpGkgutW+StDa6KTbIjLVtd7+Yk6HR0rS3majz0j8qXPjgggfFWn2/nEaqKVFob0Zh8ontWbOsNdbaPmnNApFFLk1YgWAYhmEYA49u6bYI71lRCCstlxlfoddFCDf6lI9P0a4DQzQ+MUVBcbjYNV61pCXUd1xvw7dGRtTjbPMF5cgnw0/YNSALyq6ghgMUSXVO0I0l8xtjZ/cxWTB0d7UkEDUbolZvs4D5MMU52AhKgaq+DKtCUBumv2GRg2Ktvo8iinpRxrnInp6R0M9b0HpII1hfhxUIhmEYhjGwt3vI+LoaF5GGEcJXUJTyZpClADuxtlSWuF6YAePZPQM0phSSM/ajXCaZPHBTwZj1+UI/EDOyq2vIKYBV+uCLgGPHsaGGAywN6pygGzsPDAklQd/59pkZFAHT8XF7cdUJMG8+RfhKr5Mxugf57LSb5gXKWWm7yQjE/cPjQnF2xddiVOlgpXK53uh4zoISFaRxTbsSNSsQDMMwDGNgUXtj6DGNSJfq0FYmYLfeJvjb2pWvyx1KKVwGuTEh6Bt9ha95FCAUhsmFcesP+KYrhZuKHmchrAI1lSJmxNUyg8rX0iffdoppbnGto5aWuppAeXjry46mloaZnW6fmYnrox9DJ/Cis70hdhumeTEV2AuL43AV2rGG1YrqYfjGK2QNGaV8kOOA4muKaYLO5qKnYy2nXYmaFQiGYRiGMfCW89cYd0N1IdZFYNCPqVJca6QAG3ZO4dz8FnN7c53wN5fHhe38QjCDr7kPmZLiYRUJuc7kWnZpLpP/Z1JQ9CFjDnzGmFUEVt+5qchkaPOOPqOycdMvnxbpbZPGVjTQh7iB6zgdLm1wfXPtm8g+FO+yhwzzGmuK7hEUYolr1eu/eslRohBmmrACwTAMwzAG8ACu1VKjughjwo0hRFpSXWsGRvwE18n8FjOCnw9b2OR83nQEJ/qsXiU6ge3tnOtMrmWX5loUJWmuAGFZT12rYgoKVs+NqnS5ugcFuZO57KoH+d/jdLiHIQ5IL0Row1TrIUlKArAzOUG83DTU5tzqfMDnWM435qlveMZ6hnvu43Il2bXf7H6ZJKxAMAzDMIyBW3+7hfqHxrzPE8G2MaSlMOVDNt3VN0rP7xsUwcJxd6ZRp2DZgnCXraRxsUCksZMfF9yjBfPsgb1BRKm07VvVG4InlAiXVYG1o64fjG35gibhilVpia43uVmFuV5FXaJRTsPnb2h0wjkeJCkGRyed4m5U4FK1pKNRWHXgYqgG0dvcAnXLoPo3rISvOecIShtWIBiGYRjGwG13Pxu6Q55GTne06eLrDB9pCNd7e4YDd3/DwGVeu36lsLb4CHk21ysfohg00EcoTUlUFJbzjF1jn/Zgzekz1OaYK9WwIcSij1mDgGlSaFSlBusPrllQWFCjISp6emAoqVGI2gMI31hfUIKSuC1J3dqMoaEtu/rzRfUqnGKJdMtg8d9Zuu/xdIvIAVYgGIZhGMbAIi1INAmB2RWbr7PJPQKCXliGpEDhJ0P09dufoC07+7wyQAW58AReTomBiOIjX1tTSSevWUA1MbLU6PMMgXvcY+cY55jGn0ZqX31eMFc+Fid0af1xi4UAH1bzI0nUGAlYAnSXp7i4TgGUoCi3BQK9mnQgqVubzZqViN8+srvI2hZVGcX3wS2/eprShhUIhmEYhjFwyauOLaojYBIYo+5KRj3PVtcgTHANq01QkgrVo4OmQzMh19N3WX185OEq85M/PFsibDUZMkxlUnYtKkfQs94rkXbXs693b9ojrEwdAfUUkt5pV7voaqnDtV1iCOBetfbw9kj9km5NYeOES9HKxQ71Tyr8Z8xlPuIsx8Xz03dHZAWCYRiGYSzoaUJNu+HwOYbwKnzGHYUJH9kALcp2kfWpHPgIL6ZDs2XuH+6DKdVnNqGsRLJWhC8Q9JNQIuKCflx32xO00yG4NpvS/cLn5NUvOjxQQcC1XWIIsMuO2hAmi0rY/ZRuc2HjvOfxvfTYtu7Q74DptCpKRgBDh8Lzuhcfmfq1WIFgGIZhGAO3/GaLUwAkBBYIr8JnXAiMyfYD4onrjrOa8vFgQe1zVFEbVgnMu4xlcG0H58BVLUzoDApglrfb1gT6U+5gXl+g5EjXKMyFGjfhqjydfdxiUdzPxvJFTUIg9w0yBqJPmdK4gSlDEE2Qm5Ycm891w4LXs5QOUdLtZvOfhdv/8CylzRxf0gzDMAwzt4FrkyoglquQlwlUR54LO94+wHog046GCWOw9EBAVIWrnOCb3+WuqhAClKtQh3u1p2s4lhQob7etidbGWso6iK1J1NiIiiwUiJ+yGJocj0mANo3mgaf2i7EGVTOH0B8F0SfDBOuucFgLQdmg0IZrwgF8rtMyLsxrrCmkb7UpPHESNOzrHqa0YQWCYRiGYQxcuGGVcedYpPBUfMlxTGd7Y0lgcMl5SgyDPDJpWR9Cj7RWzEU1wtQnVI12dQOBpQcuJapwlRN8c4XdhgJcvIIqe6fphLLzwJDT+FBjI23lb+kCZPrJhK7VICD0Zi21LzBWG2FWtCRG7rKMYAGJW0wvLoOjEyJIG8pOGn05dW0npQ0rEAzDMAxjKSS3bGFz4W/puw3hFRllpLAH4RWCk2k3VAoH+JlV3EFkek3svifploS+QTCBK0nFLDzhw2ShJAR1myAqds8jXHvueLBDEW0oUVqTki+xHodHJ8U8uaQKtTFq2OFPoo9ZzQqjxv4kgfzsocmg3X1csznAFSsJJqeytG13zhpjy6AWZ+R3PbSDtka09rjCCgTDMAzDWOhorS/8jhztKhDEgnYPRWahQkXZClq3sr3IvUL6K4fhW4l2T/eQCLbWXanammpCd57jyGtCMHM4rly7v+XaZC4q6hXzogf6RkruW1IKDtZjz8BY7NolaQbNq5XOfWJ/XOZeVoMIaxLX9K0OH9QHW79kP2z9iTOnUEpcYrjiwAoEwzAMw1g456Slov4DhIBl8xtL/JVtwpi+c4rzn3q+N5E+hQn5thiMnsHx0J1nCDMiJWqKO7CYs6g7yy7n4ZBW+JgnUGjOhWyEsUGZMwmYUQKMJTKOpOi1uejHlgI55Tj3OTWRySsnmQhzingFV9euCkMHghS25vpqUWvClpkK9w/fP1Hu4/BYuhnbWIFgGIZhGAsPPrlfxBXI6rzIugSBAkIiHvqqsAjZAe5DEF7hiqIiCpVFLLymk3bWyMqKCjrpqAXewpZuoUmj5oLLeTgENSKEfzklg48A59JHKHOqS5wPEDpNgrIpziLqWgkbblp6iVReg4o2rlhYWuMA91t+Tk3Il32nA+McGJ1wdu2a8pzwgZEJETsi4jICChbKNLg+NNSm64bFCgTDMAzDWFiyoFRY6R0aF4ICHvqqwADhZV/PiBBmugdGD5rdX33HHDu1G5/Y6yVsoYkF82bcvZLCpahYEEm6/4ThG3OC9eObeAmKw/jkVGw3JNFWwHthzaelw2Ke4X5nU7ahWAyOTpVNqcbnG5WsXcjGvFbY+Wceu8ipHczRSWsWiiQQacIKBMMwDMMYQBDirb95xulYETCt+HBj93sO1ZcKxLRrOu7pSrO4I/nKt5jPZQuarO8V/T0HlLXpCAYm35S/UBziuDmpyo6cM1n/IQhY1UKtEmW4B1AsuvpHS69tceEKolwK/jxHFyj0B8HbpnuBAPDugbGS102WGszRsKPVJA6sQDAMwzCMgTs2PkfjE1NOO8siYDrBa+OaqnAQlpEGmZoWzKsTQoit8JePwGQai82FAs3uOjAUmMIz43j9jNaHHfsHi86DRQL9KOnfHFfW4OeeJBDWXQVTm7KjBvFms/ZKFXgdVjUoERVaCmNduYkjlKsKjS9iKB5mmYzhnri4CDUocTUVGbe4iJHxXCxC2OG4DwjeNin0yNq0aVt3yTVtlpont/dwEDXDMAzDzAaLOuqFX7/M3lJOOprrilyC5rfW0dtefrTV5QWZmvb3jgohxFY5N65F5IjFuZS2eoC1WnTMRjZ//bCdbr0d7LbjPJyF+BKMTc3UYzsvDmnspMOik2SdOMjKyxY20aolLUJIxT058ciOyO0FKcDy9f7hcXEcUhhnLO5lcdYYxgQlpaPFrKCoQLnW15Lt2jhMt07gUD3Tkjoe270aVrKmTYeMNZO3REqLURJrdC5ZNVmBYBiGYRgDv//TblG0LGrAry9qvQcIaeqOPv6+/vYnUqty7VJYDEHkAD7qYUK27lqRyf+LOpfZvJXDK61nhOvgnPktdYkXdIPS43rvcOmw+wFrE1Kyws0OQirm5bl9Q3T2cYspLdSpx682RTUOo+OTNOKQPWhSzKfb9XGYDDAPuq0oUqie41N/xYSs9RIFKIVRrFay9szCtnqOgWAYhmGY2eCs4xeLytEmP2O4cXinhMzEq/eQROCsDV/BPqwvumuFaqWIKlR5Dz+iK4zYYU/R6BTUNtIErz28PfR+wNoEBTOrZABCbMB9m/cFrjPbe+iTnqI4DLWParNQfiAABwXA2xQk7NargrwNeekg1zj5MpRB6dbnusyxvn3rr5jIRhS6m+qqvbKaSfB9hQKYH3zrqeJnmrACwTAMwzAG9naNiJ1Ok8vMgf5Rb4E2jiEjqYe1KtSpsRLldI1IOh7ARhyf/DR218OULwjwiLmBr7vv/ZCHhwXvW4uWZbE2KovqU0S5PkCtEdV1x0ScSti64tPSUGNc51KAhqIj7ydeD4vHcVkymQjrCqe4GhChxCLuxBfM+Y59g1QOWIFgGIZhGAPrVrWL3UsIV7rQ4WsNiOsRk4TnEnZ9pSAFAShNITkI0w6z3CVOeuPfRRDHtZO8Lnbf8c8VZN4BYxN+mbtwXpKeVhBYUZ8iqotbUoSNCV2Rh2C+kFa5pI2KTEkAPsCGgIzHcbYaGPqT9bhPa5a1ihgV2ymY26Ahm9zpRFyHqep1Xon49k+fpLRhBYJhGIZhDGza0l0QsoU/s7bt6CO8yUBgV6K60AT57mPXV7qdpOUOFbXfNdUVtGJRs3+hr7zPN4YdtWYE5kReF4HaUYVy6X+O3Xf8c2FeU00hmNflnuAa0oKD85A+99UvOtxvbTlW9NbXDtz2fBSjOIUMg8BHMihlqxq8LGIZaisL6zLMLUgok1rTocHSmeD3t+4eoOEAt6ya6kpqCciohcKBerdFXEfWUAk7Py/bdvWJ+Jg0YQWCYRiGYQycf/pyam6oLhI0M46ChWnH1lU4hkBywqqOSIJskO+8ELYpOUyyGK4RVEXYBgS+LREEHgjd+Idho2aEb7VenQN9I5G0INyrXDpUv/N6LTv+NnANVC6W7Okeol8+sMOv6F9F8DqxrbuugTGRVCAqmZA4BSgosELBZdCk4KivBPVffQfNLJnfSH/90jUik5nJ3UntAyrIN3pWcM6GTD7GE7SBgPsp3ZVM3xuoVu0agC/nBQH237pjM6UJKxAMwzBMakxPT9M111xD69evpxNOOIEuvfRSev75563H9/T00Pve9z469dRT6bTTTqOPf/zjNDIyQrMBfKgvec26wkMdwun8eaUpJvEu0k+qD/847kEQSJ7a0VcUKJrEzq9wxUpQgzAJNagvYMtNnyawPmzd3W+MV/FB7FrnFUXdoiHvg0lHSTqGpNZRCcNwVYXC9ZwgbGPBvMRa1wGvoW2kiZXtmxQEfB59l29tTSVt29VPv7zvOeruH6NBQ4E1eSXcWwSmuwRxR8Fl5kyxIe3NtU7tV2gfbqEMpwgrEAzDMExqXHvttXTjjTfSVVddRTfddJNQKC655BIaHzfvvF522WW0fft2uuGGG+jzn/883XXXXfSxj32MZgO4AHznZ08WHuoQTpH9xuR+c9GGVVSpSJZRxSy58xrk8qDia6WYS3nkkwJzAMFf3QmOGxuQzbu7qDUv8FouZap7O8G+7fbjx2ZBCTMBoRq1JqK6h5nGZpoTzK0Musb7KJInj+tsqxOuZbBQ+S5f3C9kJkJq2JVLWkqEbJWgz1yYZSuTYojIovaGnGtdSKwO+phR1v/rzz0yvU6xAsEwDMOkBZSE66+/XigFGzZsoKOPPpquvvpq2rNnD915550lxz/00EN077330n/8x3/QscceS2eeeSZ94hOfoB/+8Ie0d+/eWalEvb83fBcPguZNv3yaRi1pH4Me+hBQ4fIjjynEKCjHSMH1YFAIorgv2YDg56p0QdCFAIXfIezq8xJFAMbOPmpeuCAVFl3OzAYInFBE9LVRrtuZs6SES71IDwvBXbcq6ae6KGx1eSuaS9FBBEbL4/b0FNdEsRWxswHFZGB4gp7d0x+4poI+S1MwrQUEk2djVuEOuk/P7u4X4xe1LAKuoc5ZVVUFrT9uCaUJKxAMwzBMKjz55JM0NDQkFAFJS0sLrV27lu67776S4++//35asGABrVo1UwAJbkwIXn7ggQdi9QUPVN9/f/nCFTSvqdZJ0AxyIwkSmCCgQjgLCqLUEUXZHIWVsOw5cPGQ6AJQmDJgahkFrFxwEbZc/e1l2tCqqgx95G2n0rKFuYrZKnWefu2+SOHTZp3Q75e0lqS5cx0WqNzeYl7bGcPa1f38dWG7oW4mVijQGpBAOW5prfBVCqemst4xJ5KCO2HADZu2fNBxxsJ50QLQMWeqS5Up3kIEiRsqn2/fO+D9necDKxAMwzBMKsDSABYvLq6Ou3DhwsJ7KrAy6MfW1NTQvHnzaPfu3ZH7AdN/W1uj978Tju4Ubg8quvyworO5kPkE7520ZgGtWdEm/kYA9orOpqJzbOLH3776WKvw3VBXVVSzoamh2ihIoC+60N/UUEMNFuEZx44pVhM9s42qXJgoFIbLzLTn4o+Pne83vHSNs7JhA3OiyqMQtn790C56918dL+ZMguv87auOpTUr5gW6sLigz2VnRwO1NddSR2ttpEBbX4sDdtAzDsqdul5MLF3YaI1ncLX8SNAXtBcG1tM/vv545wJp8lbJkWCOMdcSKBHqOBPQTUL7Mm24kbUOn5NjVs6nT/3Di+ikNQvFmnFZhWFrSo755n97Jc0zxEn84v6d3t95qhtmGOWp5sIwDMMccsjgZygBKrW1tdTX12c8Xj9WHj82Nha5HyJAs3/Y+zw8TC9++TE0OTlN3f2jwg3ixScvpUe3dNPe7mHhm/yW89fQw8/sp5/+cTu9/MwV9LqzV4nYCbg/IYsTAj9/98gukREF7bzouMU0Pj5NizrqxTmwPpx9whI6cVUHtV7wArr21kdoX++osBwsbG+g9uY6unBDziJzy2+2iJ9nrFtEv3pgp+hDa1MN1dVUCcFWPa57YJQGRyboohevoqXzm8Rrw2OT4jicjxS1qHNxz6a9hWNfcvIy6uofp46WGvrtw7vognOOoKee7xW/wye9vRUB5BnqHxoTWV6a6quFcHTCUfPpsa3d4nhw86+eEUIlxvbik5aKgnw1NRX0h0f3CGH+0lcdK+YF+fExLwj2xHFbdvRTz8AoHegbpWw2KxSaJfObaNnCRrpn0x46Y10ndfeNFcaB8e48MEjfvmOzKMDW2dFILz5xCc1vqqEr3nRSYb5wHK6HOca9wTV3HcgV20JWHrQ3PTVNQ2NTopDaReceKeYFrFrWQj+/73mxhpDN5y3nH02/fmgH/e7hXbT+hCX0d69YK45Du3KOR8cnqXdwjBrrqmlodII62xvFGP7wyG5qa6kT2gQKEaJw22lrF4m5O/aIdnr46QNi3jC3EO7raiqEFQZKD3aHMRfnnry0cO9u/+N22tM1TJWVGVowL6eMYZ3CuvAXpy4T8/n8vgGx6w7BG1mqXnRcJz2xvY/+4pSl9NzeAbr5l88IhTRXhToj5hVjxvqFconMRc2NNdSPGhH5e461gv7JNtV1h/FDZIY7H47D2njgyX1CgXrTeavFPXj7K46mG3/+FMGj/+SjF4hxz2+tpxesaqdfP7izZO1grBgzPk8A9w/Zp5Ax6QWrOsQ5OF/ODT5bv//TbjGnmFso1g89tV9YCBbMq6PXnn2EuL9yreHeYp6z+d38Yw5voz8905Wb98rcGkTf0Caq08v1fM+mPeIzf8KRC8R84TUcI1IK11TSyUcvLIxNrsv3/NVxRetFfp5lf3oGx8R6wfeKOqe4L9XVGXpo8wGhLKBfuK+veOEK6ukZEp9zfO5wrZeeuqxwj/GeDy0t9c5KBCsQDMMwTCrU1dUVYiHk7wDKQH196e4zjjEFV+P4hoaGWH2B8B6Fow5ro/e/8cSi81/9wpVFxyxf2FR4Dcfh70tftbbw95lrO8U/HbUded6n//6F1r5c/vrjC7+b2jMdZ3tNnq+2AyEVu5AQOl555uGF9996/tHkg61vajtyvB9+y8lObdr6gDb068m21THL+6dfUx2zeo/VNvX7jb7I/qjtmubdZQwz7we+XdK3oDVgA+N9xfojxXiXdjRa29DH7IJt/Pp91z8P6rht11WP19eMeo48Tn3NdI+jzJ1pHUjk512/x+rY1PWlrxdbf8LWlGlO1Xsc9XvPBXZhYhiGYVJBuiPt27ev6HX8vWjRopLjOzs7S46FQtHb2yvcnhiGYZi5ASsQDMMwTCog61JTUxNt3Lix8Fp/fz89/vjjos6DDl5DbATSuEqQlQmcfLLbTjXDMAyTPuzCxDAMw6QC4hkuvvhi+uxnP0vt7e20dOlS+sxnPiMsDeeddx5NTU1Rd3c3NTc3C/el448/nk466SS6/PLLRe2H4eFh+uhHP0qvfe1rjRYLhmEYZnZgCwTDMAyTGqgBcdFFF9GVV15Jb3zjG6myspKuu+46qq6uFpmVzjrrLLr99tsLKRK/+MUv0rJly+itb30rvec976Gzzz571grJMQzDMGbYAsEwzP/f3p3H1tC9ARx/2qJ2QuwEkSD+oGItKvhDSPwjEilKELWF2NcIEf4Qe0hsQSKWiBBrQsSSEGuR2IqQCLU21lraUj1vniP3ui0/77399b69M+f7Sebt2+NMe587M8/Tc2fmDBA1OmCYNWuWXYrTgcKDBw+KtNWuXVvWrVv3H75CAECkOAMBAAAAIGwMIAAAAAB4ewBRWFhoT2GnpKRIUlKSpKenS1ZWVlm/LAAAAMB5MTmA2LBhg+zZs0eWLFkie/futQOKMWPG/PEBQwAAAAAcHkDoIGH79u125o5evXrZecTXrFlj5wY/efJkWb88AAAAwGkxN4C4f/++fPnyRZKTk4Nt1atXlzZt2khGRkaZvjYAAADAdXHGGCMxRM8yTJ48WW7evGkfLBQwZcoUycvLk82bN0f8MzXEwsLIw4yLE4mPj5cPn/Kl4EdhROsmVkiQapUr/OfrluXvZl1/r1uWv5t1w1cuIV5qVku0l35Gmt3j4+Pssxj8pqQ1QCUkxMuPEhwrXuVavC7G7Fq8LsacUMJ4I6kBMfcciNzc3OATTEMlJibKx48fS/Qz9c1ISCh5UdRi7LV1y/J3s66/1y3L38264dMPP1A6NUCLsUtci9fFmF2L18WYE6Icb8y9m4GzDsVvmM7Pz5dKlSqV0asCAAAAEJMDiAYNGtiv2dnZRdr1+3r16pXRqwIAAAAQkwMInXWpatWqcuXKlWBbTk6OZGZmSqdOncr0tQEAAACui7l7IPTeh7S0NFm5cqXUqlVLGjVqJCtWrJD69etL3759y/rlAQAAAE6LuQGE0mdAFBQUyIIFC+zMS3rmYdu2bVK+fPmyfmkAAACA02JuGlcAAAAAsSvm7oEAAAAAELsYQAAAAAAIGwMIAAAAAGFjAAEAAAAgbAwgAAAAAISNAQQAAACAsDGAAAAAABA2pwcQhYWFsm7dOklJSZGkpCRJT0+XrKys/9n//fv3MmPGDPtgu86dO8vixYslNzdX/Bzzw4cPZezYsdKlSxdJTk62D/l78eKF+DXeUEeOHJFWrVrJs2fPxK/xfv/+XVatWhXsr0+Bv3fvnnhJpDG/ffvWHsddu3a1+/W0adPk9evX4kWbN2+W4cOH/7WPH/JWtLhWA1zL/4oaQA0ojhqwuHTylnHY+vXrTZcuXczZs2fNvXv3zOjRo03fvn1Nfn7+H/unpaWZQYMGmTt37piLFy+a3r17m9mzZxu/xvzu3TvTvXt3M3nyZPPgwQNz+/ZtM2zYMNO/f3+Tl5dn/LiNA549e2Y6dOhgWrZsabKysoxXRBrv/PnzTbdu3cy5c+fMo0eP7LbWbZ6Tk2P8fBynpqaazMxMc/fuXTN48GB7XHvNrl27TOvWrW08f+OHvBUtrtUA1/K/ogZQA4qjBvQulbzl7ABCd6z27dub3bt3B9s+fvxo2rZta44ePfpb/xs3bthEogdYwPnz502rVq3Mq1evjB9j3rdvn+2fm5sbbHvx4oV9H3Qn9Fu8AT9+/DBDhgwxI0aM8FTxiDTep0+f2v1Xk25of00uXti+JYlZ/0236enTp4Ntp06dsm3v3783XqD5Zty4cSYpKcn069fvr8XDD3krWlyrAa7lf0UNoAYURw0wpZa3nL2E6f79+/Llyxd7WjagevXq0qZNG8nIyPit/7Vr16ROnTrSokWLYJueCoqLi5Pr16+LH2PWfhs2bJCKFSsG2+Ljf+4yOTk54rd4AzZt2mRP644bN068JNJ4L1y4INWqVZOePXsW6X/mzJkiP8NPMeu+XKVKFTl06JB8/vzZLocPH5bmzZvb9bzg7t27Ur58eXt5Rbt27f7a1w95K1pcqwGu5X9FDaAGFEcNkFLLW+XEUa9evbJfGzRoUKS9bt26wX8LpdfHFe9boUIFqVmzprx8+VL8GHPjxo3tEmrLli32ANRr6fwWr7p165Zs375d9u/f77lrIiON9/Hjx9KkSRM5efKk3a4arybduXPnFkk2fopZj9lly5bJwoULpWPHjjaJat9du3YF/ziKdX369LFLOPyQt6LFtRrgWv5X1ICfqAG/UAOk1PKWN96tKAjcQKJvZKjExETJz8//Y//iff/W3w8xF7dz5057kM2cOVNq1aolfov369evNjZdmjVrJl4Tabz6ycuTJ0/sp4zTp0+XjRs3Srly5WTo0KH2JjM/xqyXbeoNgu3bt5fdu3fLjh07pGHDhjJx4kT7fviNH/JWtLhWA1zL/4oa8BM14BdqQOnlLWcHEIHTst++fSvSrm9opUqV/ti/eN9A/8qVK4sfYw494NauXStLly6VCRMm/Osd/16NV+PT05ipqaniRZHGq4VCE+aaNWukR48e0rZtW/v/6uDBg+LHmI8fP27/CFqxYoV06NDBnsrVyxWeP39uP3H0Gz/krWhxrQa4lv8VNeAnasAv1IDSy1vODiACp3Sys7OLtOv39erV+61//fr1f+urG+XDhw/29JcfY1Z6HeisWbPsATZv3jyZOnWqeEWk8R44cEAuXrxoP5nQRaeCUwMGDLDx+3Gf1gISeqpak42e0vbKtIWRxqzXg+ofCFWrVg221ahRw7bpJ3F+44e8FS2u1QDX8r+iBvxEDfiFGiCllrecHUC0bt3a7kBXrlwJtumNYZmZmX+8vlPb9Hq60B3s6tWr9quOYv0Ys5o9e7acOHHCzhM9cuRI8ZJI49XrQI8dO2ZvrtJFP41Sem2oFz6RKsk+XVBQILdv3w625eXl2fmzmzZtKl4QacyaTPUYDj11q5ctaLH04iUL/8YPeStaXKsBruV/RQ2gBhRHDZDSy1vGYatXrzadO3e2U3iFzh387ds3U1BQYLKzs4NT2BUWFtp5gwcOHGhu3rxpLl26ZKc6mzt3rvFrzAcOHLDTf23dutW2hy6hU/v5Jd7iLl++7Kkp/EoS78iRI+287hkZGebhw4d2DvDk5GTz9u1b48eYX79+bfuOHz/e9tVFp8NLSUnx1LznAXPmzCkyhZ9f81a0uFYDXMv/ihpADaAGpEYlbzk9gNA3evny5aZr1652Pt309PRgotCvmjg0iQa8efPGHlzaVx9asmjRIk89UCfSmEeNGmW//9MS+r74aRt7vXhEGu+nT5/sfqz7c7t27ew21yLiJZHGrPNha8HQIqLrTJo0yVPb+G/Fw695K1pcqwGu5X9FDaAGUAPeRCVvxel//t9TJAAAAADc4Ow9EAAAAAAixwACAAAAQNgYQAAAAAAIGwMIAAAAAGFjAAEAAAAgbAwgAAAAAISNAQQAAACAsDGAAAAAABA2BhAAAAAAwsYAAgAAAEDYGEAAAAAAkHD9A/Ascwxfnj0MAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 800x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, (ax1, ax2) = plt.subplots(nrows=1, ncols=2, figsize=(8, 4), layout='tight')\n",
    "ax1.hist(sample, bins=20)\n",
    "ax1.set_title('Histogramme')\n",
    "ax2.scatter(sample[:-1], sample[1:], s=0.5)\n",
    "ax2.set_title('Paires adjacentes')\n",
    "plt.show()\n",
    "#plt.savefig('img/pseudo_alea.png')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "74efe4f3",
   "metadata": {},
   "source": [
    "## La loi exponentielle\n",
    "\n",
    "On considère la loi exponentielle de paramètre $\\lambda = 2$. On rappelle la densité $f_\\lambda$ et l'inverse de la fonction de répartition (la fonction quantile) $F_\\lambda^{-1}$\n",
    "\n",
    "$$\n",
    "f_\\lambda(x) = \\lambda e^{-\\lambda x} \\mathbf{1}_{x > 0} \\quad \\text{et} \\quad \\forall u \\in [0, 1[, \\; F_\\lambda^{-1}(u) = \\frac{-\\log(1-u)}{\\lambda}.\n",
    "$$\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "41a0c5bf-664f-40f9-b4d3-00ebb13185bf",
   "metadata": {
    "tags": [
     "question"
    ]
   },
   "source": [
    "### Question: 2 façons de simuler\n",
    "\n",
    "On veut comparer 2 échantillons de taille $n = 10\\,000$ de la loi $\\mathcal{E}(\\lambda)$, $\\lambda = 2$:\n",
    "\n",
    "- le premier `sample_numpy` obtenu par un appel de `rng.exponential`\n",
    "- le second `sample_quantile` obtenu par transformation par $F_\\lambda^{-1}$ d'un échantillon $(U_1, \\dots, U_n)$ _i.i.d._ avec $U_i \\sim \\mathcal{U}([0, 1[)$.\n",
    "\n",
    "Vérifier que la moyenne de chacun de ces échantillons est proche de $\\frac{1}{\\lambda}$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "a4c83a65-e98e-44a8-a36c-f55b51dc0c9b",
   "metadata": {
    "tags": [
     "correction"
    ]
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Empirical mean:  0.49105155646076837\n",
      "Empirical mean:  0.5053264934825978\n"
     ]
    }
   ],
   "source": [
    "lambd = 2\n",
    "size = 10000\n",
    "sample_numpy = rng.exponential(scale=1/lambd, size=size) # attention piège: il faut lire la doc! \n",
    "print(\"Empirical mean: \", sample_numpy.mean())\n",
    "\n",
    "unifs = rng.random(size=size)\n",
    "sample_quantile = -np.log(unifs) / lambd \n",
    "print(\"Empirical mean: \", sample_quantile.mean())"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e586765d-300c-4972-bfe9-79eedd75fb63",
   "metadata": {
    "tags": [
     "question"
    ]
   },
   "source": [
    "### Question: représentation graphique\n",
    "\n",
    "On compare graphiquement les histogrammes de ces échantillons `sample_numpy` et `sample_quantile` avec la densité de la loi exponentielle (de paramètre $\\lambda=2$). Ecrire le code pour obtenir le graphique suivante:\n",
    "\n",
    "![](img/expo.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "175556ee-849d-4a96-b5ed-de68aa7b0790",
   "metadata": {
    "tags": [
     "correction"
    ]
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "m = max(sample_numpy.max(), sample_quantile.max())\n",
    "u = np.linspace(0, m, 100)\n",
    "f_u = lambd * np.exp(-lambd * u)\n",
    "\n",
    "fig, (ax1, ax2) = plt.subplots(nrows=1, ncols=2, figsize=(8, 4), sharey=True, layout='tight')\n",
    "ax1.hist(sample_numpy, bins=50, density=True, label=\"Sample from numpy\")\n",
    "ax2.hist(sample_quantile, bins=50, density=True, label=\"Sample from quantile function\")\n",
    "for ax in (ax1, ax2):\n",
    "    ax.plot(u, f_u, label=\"True density\")\n",
    "    ax.set_xlim(0, 3)\n",
    "    ax.legend()\n",
    "fig.suptitle(f\"Exponential distribution with lambda = {lambd}\")\n",
    "plt.show()\n",
    "#plt.savefig('img/expo.png')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "821dc76d-5b0d-4146-8d36-e50b2e090f0e",
   "metadata": {
    "tags": [
     "question"
    ]
   },
   "source": [
    "### Question: utilisation de `scipy.stats`\n",
    "\n",
    "Reprendre les 2 questions précédentes en utilisant un objet `E` de classe `stats.expon`. Lire la documentation de cette classe et utiliser les méthodes `rvs` (avec l'argument `random_state=rng`), `ppf` et `pdf`. Le but est d'écrire un code qui pourrait s'executer avec n'importe quelle loi à densité (une classe qui contient un méthode `pdf` et non `pmf`). "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "f9714d39-bae1-41b3-8955-430ee12624fe",
   "metadata": {
    "tags": [
     "correction"
    ]
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from scipy import stats\n",
    "\n",
    "E = stats.expon(scale=1/lambd) # attention piège: il faut lire la doc! \n",
    "sample_scipy = E.rvs(size=5000, random_state=rng)\n",
    "\n",
    "unifs = rng.random(size=5000)\n",
    "sample_ppf = E.ppf(unifs)\n",
    "\n",
    "m = max(sample_scipy.max(), sample_ppf.max())\n",
    "u = np.linspace(0, m, 100)\n",
    "f_u = E.pdf(u)\n",
    "\n",
    "fig, (ax1, ax2) = plt.subplots(nrows=1, ncols=2, figsize=(8, 4), sharey=True, layout='tight')\n",
    "ax1.hist(sample_scipy, bins=50, density=True, label=\"Sample from scipy rvs\")\n",
    "ax2.hist(sample_ppf, bins=50, density=True, label=\"Sample from scipy ppf\")\n",
    "for ax in (ax1, ax2):\n",
    "    ax.plot(u, f_u, label=\"True density\")\n",
    "    ax.set_xlim(0, 3)\n",
    "    ax.legend()\n",
    "fig.suptitle(f\"Exponential distribution with lambda = {lambd}\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c48b03e3-6de1-4bf0-8238-d5f11bb57a88",
   "metadata": {},
   "source": [
    "## Illustration de la méthode du rejet"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c709d792-02bc-427d-8be6-a05f700cf5df",
   "metadata": {},
   "source": [
    "On propose d'illustrer la méthode du rejet dans le cas d'une loi bêta de paramètres $\\alpha > 1$ et $\\beta > 1$. On rappelle la forme de la densité de la loi\n",
    "\n",
    "$$\n",
    "  f_{\\alpha, \\beta}(x) = \\frac{1}{B(\\alpha, \\beta)} \n",
    "  x^{\\alpha-1} (1-x)^{\\beta-1} \\mathbf{1}_{[0,1]}(x)\n",
    "$$\n",
    "\n",
    "où $B(\\alpha, \\beta)$ est la constante de normalisation de la loi. "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "14bc87a5-0b6b-4cc2-bce3-529bed7dde02",
   "metadata": {
    "tags": [
     "question"
    ]
   },
   "source": [
    "### Question: illustration du rejet\n",
    "\n",
    "Le but est de créer le graphique suivant représentant la méthode du rejet pour une loi bêta de paramètres $\\alpha = 1.5$ et $\\beta = 3$ et une loi auxiliaire qui est la loi uniforme sur $[0,1]$, c'est à dire $g(x) = \\mathbf{1}_{[0,1]}(x)$. La ligne rouge represente $c g(x)$ avec $c = 2$, la courbe bleue correspond à la densité $f_{\\alpha, \\beta}$, les points bleus sont les réalisations acceptées (parmi 5000 réalisations) et les points orangés sont les réalisations rejetées.\n",
    "\n",
    "![](img/rejet.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "b307b859-34bd-45ca-8652-b4d87b90f1f3",
   "metadata": {
    "tags": [
     "correction"
    ]
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "alpha, beta = 1.5, 3\n",
    "c = 2\n",
    "size = 5000\n",
    "distrib = stats.beta(a=alpha, b=beta)\n",
    "\n",
    "sample = rng.random(size=size)\n",
    "unif_test = rng.random(size=size)\n",
    "accepted = unif_test * c < distrib.pdf(sample)\n",
    "rejected = np.logical_not(accepted) # ou bien ~accepted ou bien (1-accepted).astype(bool)\n",
    "\n",
    "xx = np.linspace(0, 1, 1000)\n",
    "fig, (ax1, ax2) = plt.subplots(nrows=1, ncols=2, figsize=(8, 4), sharey=True, layout='tight')\n",
    "ax1.plot(xx, distrib.pdf(xx), color='blue')\n",
    "ax1.scatter(sample[accepted], c*unif_test[accepted], s=2, alpha=0.5)\n",
    "ax1.plot(xx, 2*np.ones_like(xx), color='red')\n",
    "ax1.scatter(sample[rejected], c*unif_test[rejected], s=2, alpha=0.5)\n",
    "\n",
    "ax2.plot(xx, distrib.pdf(xx), color='blue', label='Density of \\nbeta distribution')\n",
    "ax2.hist(sample[accepted], bins=20, density=True, color='C0', label='Histogram of\\n accepted realizations')\n",
    "ax2.legend(loc='upper right')\n",
    "fig.suptitle(fr'Illustration of the reject method for beta distribution with parameters $\\alpha$ = {alpha}, $\\beta$ = {beta}')\n",
    "plt.show()\n",
    "#plt.savefig('img/rejet.png')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8ad3c29e-0b2f-4946-ae5c-4a5b46773dca",
   "metadata": {
    "tags": [
     "question"
    ]
   },
   "source": [
    "### Question: optimisation de la constante $c$ \n",
    "\n",
    "La constante optimale $c$ que l'on peut utiliser dans cet exemple (en considérant $g(x) = \\mathbf{1}_{[0,1]}(x)$) est $c^* = \\max_{x \\in [0,1]} f_{\\alpha, \\beta}(x)=f_{\\alpha,\\beta}(x^*)$. On peut calculer explicitement ce maximum qui correspond au mode de la distribution bêta\n",
    "\n",
    "$$\n",
    "    x^* = \\operatorname{argmax}_{x \\in [0,1]} f_{\\alpha, \\beta}(x) = \\frac{\\alpha-1}{\\alpha + \\beta - 2} \\quad \\text{pour $\\alpha > 1, \\beta > 1$}.\n",
    "$$\n",
    "\n",
    "Dans un cas plus général on ne connaît pas forcément ce maximum mais on peut l'approcher et trouver une approximation par un algorithme type dichotomie ou descente de gradient (méthode de Newton). \n",
    "\n",
    "Utiliser la fonction `scipy.optimize.minimize_scalar` (après avoir lu la documentation) avec les options `bounds=(0, 1)` et `method=\"bounded\"` pour trouver la valeur $c^*$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "c8758df7-f1e5-415f-b285-345e6937a795",
   "metadata": {
    "tags": [
     "correction"
    ]
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " message: Solution found.\n",
      " success: True\n",
      "  status: 0\n",
      "     fun: -1.878297101062972\n",
      "       x: 0.19999841528793666\n",
      "     nit: 11\n",
      "    nfev: 11\n",
      "Optimal value:  1.878297101062972\n"
     ]
    }
   ],
   "source": [
    "from scipy import optimize\n",
    "res = optimize.minimize_scalar(lambda x: -distrib.pdf(x), bounds=(0,1), method=\"bounded\")\n",
    "print(res)\n",
    "c = -res.fun\n",
    "print(\"Optimal value: \", c)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c132c2ad",
   "metadata": {},
   "source": [
    "## Loi binomiale: définition probabiliste _vs_ inverse de la fonction de répartition\n",
    "\n",
    "On veut comparer deux algorithmes pour la simulation d'une loi binomiale $X \\sim B(n, p)$, $n \\ge 2$, $p \\in ]0,1[$.\n",
    "\n",
    "- Le premier algorithme utilise la définition de la loi binomiale comme somme de $n$ variables aléatoires $(B_1, \\dots, B_n)$ indépendantes de Bernoulli de paramètre $p \\in ]0,1[$, $\\mathbf{P}[B_1 = 1] = p = 1 - \\mathbf{P}[B_1 = 0]$, \n",
    "\n",
    "$$\n",
    "  X = \\sum_{k=1}^n B_k. \n",
    "$$ \n",
    "\n",
    "- Le deuxième algorithme utilise l'inverse de la fonction de répartition de la loi binomiale. "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "bb82c513-e77d-4526-8b44-ebeaa2095461",
   "metadata": {
    "tags": [
     "question"
    ]
   },
   "source": [
    "### Question: algorithme 1.\n",
    "\n",
    "Compléter la fonction `binomial_from_def` qui implémente naïvement le premier algorithme et renvoie un échantillon de taille `size`. Attention cette première approche (la plus naturelle quand on débute) sera améliorée dans la suite. Ce n'est pas la façon optimale d'écrire le code en `numpy`.\n",
    "```\n",
    "def binomial_from_def(size: int, n: int=2, p: float=0.5):\n",
    "    \"\"\" \n",
    "    Draw samples from a binomial distribution B(n, p).\n",
    "    Algorithm: first implementation of sum of independent Bernoulli trials.\n",
    "    \"\"\"\n",
    "    def one_realization():\n",
    "        # code à écrire\n",
    "    # code à écrire\n",
    "    return sample\n",
    "```\n",
    "\n",
    "Vérifier que le code est correct en traçant l'histogramme d'un échantillon de taille $10\\,000$. Vous devez obtenir ce graphique:\n",
    "\n",
    "![](img/binom_def.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "5ee599c6-a934-43ea-91e7-a3cd93bf5ae8",
   "metadata": {
    "tags": [
     "correction"
    ]
   },
   "outputs": [],
   "source": [
    "def binomial_from_def(size: int, n: int=2, p: float=0.5):\n",
    "    \"\"\" \n",
    "    Draw samples from a binomial distribution B(n, p).\n",
    "    Algorithm: first implementation of sum of independent Bernoulli trials.\n",
    "    \"\"\"\n",
    "    def one_realization():\n",
    "        unifs = rng.random(size=n)\n",
    "        bernoullis = unifs < p\n",
    "        return bernoullis.sum()\n",
    "    result = [ one_realization() for _ in range(size) ]\n",
    "    sample = np.array(result)\n",
    "    return sample"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "8e293ca1-ab1d-4bfa-b7ff-78027f94661b",
   "metadata": {
    "tags": [
     "correction"
    ]
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "size = 10000\n",
    "n, p = 20, 0.5\n",
    "sample_from_def = binomial_from_def(size=size, n=n, p=p)\n",
    "\n",
    "support = np.arange(n+1)\n",
    "empirical_prop = np.bincount(sample_from_def, minlength=n+1) / size\n",
    "binom = stats.binom(n = n, p = p)\n",
    "\n",
    "fig, ax = plt.subplots(layout=\"tight\")\n",
    "ax.bar(support, empirical_prop, label='Empirical proportion')\n",
    "ax.scatter(support, binom.pmf(support), label='Probability mass function')\n",
    "ax.vlines(support, 0, binom.pmf(support), color='C1', lw=2, alpha=1)\n",
    "ax.set_title('Samples from a binomial distribution obtained by sum of independent Bernoulli trials.')\n",
    "ax.set_xticks(np.linspace(0,20,21))\n",
    "ax.legend()\n",
    "plt.show()\n",
    "#plt.savefig('img/binom_def.png')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "aee9a93c-a97a-421e-8cca-8edbb6106ba6",
   "metadata": {
    "tags": [
     "question"
    ]
   },
   "source": [
    "### Question: algorithme 2. \n",
    "\n",
    "Ecrire une fonction `binomial_quantile` similaire à celle de la question précédente: qui prend les mêmes arguments et qui renvoie un échantillon de taille `size`. Vérifier graphiquement que l'échantillon produit vérifie la bonne distribution.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "79ffc7b3-4cd0-4c2d-9292-d2991f5a2b88",
   "metadata": {
    "tags": [
     "correction"
    ]
   },
   "outputs": [],
   "source": [
    "def binomial_quantile(size: int, n: int=2, p: float=0.5):\n",
    "    \"\"\" \n",
    "    Draw samples from a binomial distribution B(n, p).\n",
    "    Algorithm: quantile function of the binomial distribution.\n",
    "    \"\"\"\n",
    "    binom = stats.binom(n = n, p = p)\n",
    "    unifs = rng.random(size = size)\n",
    "    sample = binom.ppf(unifs)\n",
    "    return sample.astype('int64') # attention au type renvoyé par la fonction quantile "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "e284afa0-c922-4eb9-89e4-270752e9945a",
   "metadata": {
    "tags": [
     "correction"
    ]
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "size = 10000\n",
    "n, p = 20, 0.5\n",
    "sample_quantile = binomial_quantile(size=size, n=n, p=p)\n",
    "\n",
    "support = np.arange(n+1)\n",
    "empirical_prop = np.bincount(sample_quantile, minlength=n+1) / size\n",
    "binom = stats.binom(n = n, p = p)\n",
    "\n",
    "fig, ax = plt.subplots(layout=\"tight\")\n",
    "ax.bar(support, empirical_prop, label='Empirical proportion')\n",
    "ax.scatter(support, binom.pmf(support), label='Probability mass function')\n",
    "ax.vlines(support, 0, binom.pmf(support), color='C1', lw=2, alpha=1)\n",
    "ax.set_title('Samples from a binomial distribution obtained by quantile function.')\n",
    "ax.set_xticks(np.linspace(0,20,21))\n",
    "ax.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e86c7583-1b18-4e4e-bd63-10b0d338b0e3",
   "metadata": {
    "tags": [
     "question"
    ]
   },
   "source": [
    "### Question: temps de calcul\n",
    "\n",
    "Pour mesurer le temps de calcul, on utilisera le module `timeit` de python. Dans l'environnement `jupyter` il est encore plus facile d'utiliser ce module grâce à une _magic_ commande appelée `%timeit`. Pour en savoir plus sur ces _magic_ commandes vous pouvez [consulter cette page de documentation](https://ipython.readthedocs.io/en/stable/interactive/magics.html).\n",
    "\n",
    "Pour mesurer le temps de calcul complet d'une cellule notebook on utilise `%%timeit`. Le résultat est une moyenne de plusieurs exécutions."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "fc5be755-f42f-4a5b-8006-547e11bd7f20",
   "metadata": {},
   "source": [
    "Pour mesurer le temps d'une seule instruction on utiliser `%timeit` en début de ligne. L'option `-o` permet de sauvegarder le résultat: les mesures des temps d'exécutions et les statistiques associées."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "daf24ad0-9500-4bf0-96a1-96d83b62a4d1",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "172 μs ± 3.38 μs per loop (mean ± std. dev. of 7 runs, 10,000 loops each)\n"
     ]
    }
   ],
   "source": [
    "size = 10000\n",
    "%timeit liste = [i for i in range(size)] # pas de sauvegarde du résultat"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "7235e5a0-e0ec-4532-a115-00e5b1a7687e",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "173 μs ± 4.76 μs per loop (mean ± std. dev. of 7 runs, 10,000 loops each)\n",
      "['__class__', '__delattr__', '__dict__', '__dir__', '__doc__', '__eq__', '__firstlineno__', '__format__', '__ge__', '__getattribute__', '__getstate__', '__gt__', '__hash__', '__init__', '__init_subclass__', '__le__', '__lt__', '__module__', '__ne__', '__new__', '__reduce__', '__reduce_ex__', '__repr__', '__setattr__', '__sizeof__', '__static_attributes__', '__str__', '__subclasshook__', '__weakref__', '_precision', '_repr_pretty_', 'all_runs', 'average', 'best', 'compile_time', 'loops', 'repeat', 'stdev', 'timings', 'worst']\n",
      "Mean time:  0.00017338997142921602\n"
     ]
    }
   ],
   "source": [
    "timings = %timeit -o liste = [i for i in range(size)]\n",
    "print(dir(timings))\n",
    "print(\"Mean time: \", timings.average)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2454a0fe-4871-4087-8c78-0d764c9edd83",
   "metadata": {},
   "source": [
    "Comparer les temps d'exécutions des 2 fonctions `binomial_from_def` et `binomial_quantile` pour différentes valeurs de `size` (par exemple `10000` et `100000`) et de `n` (par exemple `20`, `50` et `200`)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "8b7e5ede-ccb6-4662-b94e-ac3084de417a",
   "metadata": {
    "tags": [
     "correction"
    ]
   },
   "outputs": [],
   "source": [
    "#for n in (20, 50, 200):\n",
    "#    for size in (10000, 100000):\n",
    "#        print(f\"Timing for algorithm 1. with n={n}, size={size}\")\n",
    "#        %timeit binomial_from_def(size, n, p)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "2245a496-66ec-462b-a135-f9a249c0de43",
   "metadata": {
    "tags": [
     "correction"
    ]
   },
   "outputs": [],
   "source": [
    "#for n in (20, 50, 200):\n",
    "#    for size in (10000, 100000):\n",
    "#        print(f\"Timing for algorithm 2. with n={n}, size={size}\")\n",
    "#        %timeit binomial_quantile(size, n, p)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5da5597e-a686-43e8-95a1-b52e6fbdde9d",
   "metadata": {
    "tags": [
     "question"
    ]
   },
   "source": [
    "### Question: code plus efficace \n",
    "\n",
    "Le code de la fonction `binomial_from_def` n'est pas du tout optimal. En effet, en `numpy` (et dans la plupart des langages interprétés) lorsque c'est possible il faut simuler tout l'échantillon d'un coup sans boucle `for`. Dans l'algorithme 1., pour simuler un échantillon de taille `size` on a besoin de `size x n` variables de Bernoullis: on les simule donc d'un seul coup puis on somme uniquement sur l'axe 1 (c'est à dire l'axe de taille `n`). Cette réduction par axe donne un `np.array` de dimension 1 de taille `size`. \n",
    "\n",
    "Cette approche vectorielle est importante et sera utilisée dans la suite lorsque c'est possible.\n",
    "\n",
    "Ecrire la fonction `binomial_from_def_vec` qui implémente l'algorithme 1. de façon efficace et comparer les temps de calculs avec les fonctions précédentes."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "58b9c717-1eda-46ee-bffb-b5b6e799fae2",
   "metadata": {
    "tags": [
     "correction"
    ]
   },
   "outputs": [],
   "source": [
    "def binomial_from_def_vec(size: int, n: int=2, p: float=0.5):\n",
    "    \"\"\" \n",
    "    Draw samples from a binomial distribution B(n, p).\n",
    "    Algorithm: vectorized implementation of sum of independent Bernoulli trials.\n",
    "    \"\"\"\n",
    "    unifs = rng.random(size=(size, n))\n",
    "    bernoullis = unifs < p\n",
    "    sample = bernoullis.sum(axis = 1)\n",
    "    return sample"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "fd11d314-e2a1-4abd-a4ce-898549b4b711",
   "metadata": {
    "tags": [
     "correction"
    ]
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Timing for algorithm 1. with n=20, size=10000\n",
      "963 μs ± 19.3 μs per loop (mean ± std. dev. of 7 runs, 1,000 loops each)\n",
      "Timing for algorithm 1. with n=20, size=100000\n",
      "10.3 ms ± 160 μs per loop (mean ± std. dev. of 7 runs, 100 loops each)\n",
      "Timing for algorithm 1. with n=50, size=10000\n",
      "2.3 ms ± 70.5 μs per loop (mean ± std. dev. of 7 runs, 100 loops each)\n",
      "Timing for algorithm 1. with n=50, size=100000\n",
      "26 ms ± 653 μs per loop (mean ± std. dev. of 7 runs, 10 loops each)\n",
      "Timing for algorithm 1. with n=200, size=10000\n",
      "10.6 ms ± 497 μs per loop (mean ± std. dev. of 7 runs, 100 loops each)\n",
      "Timing for algorithm 1. with n=200, size=100000\n",
      "102 ms ± 1.96 ms per loop (mean ± std. dev. of 7 runs, 10 loops each)\n"
     ]
    }
   ],
   "source": [
    "for n in (20, 50, 200):\n",
    "    for size in (10000, 100000):\n",
    "        print(f\"Timing for algorithm 1. with n={n}, size={size}\")\n",
    "        %timeit binomial_from_def_vec(size, n, p)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "8e338275-a86c-4d6e-8898-389e7bde0781",
   "metadata": {
    "tags": [
     "correction"
    ]
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "40 ms ± 1.32 ms per loop (mean ± std. dev. of 7 runs, 10 loops each)\n",
      "5.57 ms ± 117 μs per loop (mean ± std. dev. of 7 runs, 100 loops each)\n",
      "45.8 ms ± 1.01 ms per loop (mean ± std. dev. of 7 runs, 10 loops each)\n",
      "10.7 ms ± 196 μs per loop (mean ± std. dev. of 7 runs, 100 loops each)\n",
      "52.7 ms ± 1.95 ms per loop (mean ± std. dev. of 7 runs, 10 loops each)\n",
      "25.4 ms ± 2.33 ms per loop (mean ± std. dev. of 7 runs, 10 loops each)\n",
      "156 ms ± 4.3 ms per loop (mean ± std. dev. of 7 runs, 10 loops each)\n",
      "48.7 ms ± 1.43 ms per loop (mean ± std. dev. of 7 runs, 10 loops each)\n",
      "170 ms ± 11.6 ms per loop (mean ± std. dev. of 7 runs, 10 loops each)\n",
      "103 ms ± 2.55 ms per loop (mean ± std. dev. of 7 runs, 10 loops each)\n",
      "183 ms ± 8.86 ms per loop (mean ± std. dev. of 7 runs, 10 loops each)\n",
      "210 ms ± 15 ms per loop (mean ± std. dev. of 7 runs, 1 loop each)\n"
     ]
    }
   ],
   "source": [
    "size = 100000\n",
    "timings_quantile = {}\n",
    "timings_from_def = {}\n",
    "grid_n = [10, 20, 50, 100, 200, 400]\n",
    "for n in grid_n:\n",
    "    timings_quantile[n] = %timeit -o binomial_quantile(size, n, p)\n",
    "    timings_from_def[n] = %timeit -o binomial_from_def_vec(size, n, p)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "id": "6f2d66a6-faa1-4e58-8f35-f8761f493a24",
   "metadata": {
    "tags": [
     "correction"
    ]
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "t_quantile = [ t.average for t in timings_quantile.values() ] \n",
    "t_from_def = [ t.average for t in timings_from_def.values() ] \n",
    "\n",
    "fig, ax = plt.subplots(layout=\"tight\")\n",
    "ax.plot(grid_n, t_from_def, label=\"From definition\")\n",
    "ax.plot(grid_n, t_quantile, label=\"Quantile function\")\n",
    "ax.set_title(fr'Average time in function of $n$, size={size}')\n",
    "ax.legend()\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.13.5"
  },
  "toc-autonumbering": true,
  "toc-showcode": false,
  "toc-showtags": true
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
