{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "ad8e788e-fef5-40c8-a9ea-f3210e24a409",
   "metadata": {},
   "source": [
    "# Copule et chaîne de Markov\n",
    "\n",
    "Dans cette feuille, on s'intéresse à la simulation de vecteurs aléatoires. \n",
    "\n",
    "- Dans la première partie on simule un vecteur $(\\tau_1, \\dots, \\tau_n)$ dont la dépendance entre les composantes est donnée par une fonction copule, on parle de dépendance spatiale. \n",
    "- Dans la deuxième partie, on simule un vecteur $(X_0, \\dots, X_n)$ dont la dépendance est temporelle, c'est à dire qu'on construit $X_{k+1}$ à partir de $X_k$ et d'un aléa indépendant. C'est un exemple de chaîne de Markov."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "61091c92-5312-424e-ae72-038e28f9b48d",
   "metadata": {},
   "source": [
    "## Copule Gaussienne et instants de défaut"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "20cf86cc-75a6-4d46-8691-1541a15d3615",
   "metadata": {},
   "source": [
    "On considère la modélisation suivante: soit $\\tau_1, \\dots, \\tau_n$ des variables aléatoires exponentielles de paramètre $\\lambda_i > 0$ qui représentent $n$ instants de défaut (instant de défaillance d'un composant en fiabilité, instant de défaut d'une entreprise en finance, instant de mutation en biologie, etc). On suppose que ces $n$ instants sont corrélés par la copule Gaussienne $C$ de matrice de covariance $\\Sigma_{i,i} = 1$ et $\\Sigma_{i,j} = \\rho \\in [0,1]$ pour $i \\neq j$. \n",
    "\n",
    "Dans un premier temps on s'intéresse à la simulation du vecteur $U = (U_1,\\dots,U_n)$ correspondant à la copule $C$ i.e. pour tout $i \\in \\{1,\\dots,n\\}, U_i \\sim \\mathcal{U}([0,1])$ et $C(u_1,\\dots,u_n) = \\mathbf{P}[U_1 \\le u_1,\\dots,U_n\\le u_n]$. On peut montrer que $U$ se représente sous la forme \n",
    "\n",
    "$$\n",
    "    \\forall i \\in \\{1,\\dots,n\\}, \\quad U_i = \\Phi\\bigl(\\sqrt{\\rho} G_0 + \\sqrt{1 - \\rho} G_i \\bigr),\n",
    "$$\n",
    "\n",
    "où $(G_0,G_1,\\dots, G_n)$ est un vecteur normal standard de $\\mathbf{R}^{n+1}$ et $\\Phi$ est la fonction de répartition gaussienne standard (fonction `norm` dans le module `scipy.stats`). "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "36880c49-6287-4ab6-aee9-04942e01bcd4",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "from scipy import stats\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "sns.set_theme() \n",
    "from numpy.random import default_rng\n",
    "rng = default_rng()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "eac4c72d-349d-4a45-9fd6-8ec2b2991c86",
   "metadata": {
    "tags": [
     "question"
    ]
   },
   "source": [
    "### Question: simulation de la copule gaussienne\n",
    "\n",
    "Ecrire une fonction qui prend 3 arguments: `size`, `n` et `rho` et qui renvoie un échantillon de taille `size` de réalisations $(U_1,\\dots,U_n)$ obtenues par la construction précédente.  \n",
    "Dans toute la suite `n` est la dimension de la copule qui sera par exemple 10, et non le nombre de réalisations considérées. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 69,
   "id": "8799f229-e90c-4537-820d-6540ffabe72a",
   "metadata": {
    "tags": [
     "aremplir"
    ]
   },
   "outputs": [],
   "source": [
    "def copule_gaussienne(size: int, n , rho):\n",
    "    \"\"\" \n",
    "    Draw samples from a uniform distribution U(0, 1).\n",
    "    \"\"\"\n",
    "    sample = rng.standard_normal(size=(n + 1, size))\n",
    "    return stats.norm.cdf(rho**(0.5)*sample[0]  + (1-rho)**(0.5)*sample[1:])"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "854640e2-ea88-450d-bc2f-dc5c3e0ea194",
   "metadata": {
    "tags": [
     "question"
    ]
   },
   "source": [
    "### Question: représentation de la copule gaussienne \n",
    "\n",
    "Reproduire le tracé suivant à partir d'échantillons $\\big(U_1^{(j)}, U_2^{(j)}\\big)_{1 \\le j \\le M}$ de taille $M = 2000$ de réalisations de la copule gaussienne en dimension 2 et de corrélation $\\rho= 0.2$ puis $\\rho = 0.8$. Que remarquez-vous?  \n",
    "\n",
    "Compléter ce tracé en vérifiant graphiquement que la loi empirique de chaque composante $\\big(U_i^{(j)}\\big)_{1 \\le j \\le M}$ pour $i=1,2$ est proche de la loi uniforme sur $[0,1]$. Vous pouvez augmenter la taille de $M$.\n",
    "\n",
    "![](img/copula.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 79,
   "id": "b83ef8fc-354b-4183-bb14-a3038d6271b5",
   "metadata": {
    "tags": [
     "aremplir"
    ]
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Shape of sample:  (2, 2000)\n",
      "Empirical variance of first component:  0.08346991566604217\n",
      "Empirical mean of first component:  0.5129332024729779\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x15569138910>]"
      ]
     },
     "execution_count": 79,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x400 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sample = copule_gaussienne(2000, 2 , 0.2)\n",
    "\n",
    "print(\"Shape of sample: \", sample.shape)\n",
    "\n",
    "print(\"Empirical variance of first component: \", np.var(sample))\n",
    "\n",
    "print(\"Empirical mean of first component: \", np.mean(sample))\n",
    "\n",
    "support = np.linspace(0, 1, 2000)\n",
    "\n",
    "fig, (ax1, ax2, ax3) = plt.subplots(nrows=1, ncols=3, figsize=(8, 4), sharey=True, layout='tight')\n",
    "\n",
    "ax1.hist(sample[0], density=True, alpha=0.6, color='g', label='Empirical distribution')\n",
    "\n",
    "sample = copule_gaussienne(2000, 2 , 0.2)\n",
    "\n",
    "ax2.plot(sample[0], sample[1], 'r.', lw=2, label='Theoretical distribution')\n",
    "\n",
    "sample = copule_gaussienne(2000, 2 , 0.8)\n",
    "\n",
    "ax3.plot(sample[0], sample[1], 'r.', lw=2, label='Theoretical distribution')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "fe0bf92f-95e7-4698-ad77-178ca006f18c",
   "metadata": {},
   "source": [
    "On revient maintenant au problème des instants de défaut dont on rappelle que $\\tau_i \\sim \\mathcal{E}(\\lambda_i)$. On s'intéresse à la variable aléatoire \n",
    "\n",
    "$$\n",
    "    X = \\sum_{i = 1}^n \\mathbf{1}_{\\tau_i \\le 1}.\n",
    "$$\n",
    "\n",
    "C'est donc une **variable aléatoire discrète** à valeurs dans $\\{0,\\dots,n \\}$. "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7105f783-f2d3-4cc7-ac33-42e6c139dda6",
   "metadata": {
    "tags": [
     "question"
    ]
   },
   "source": [
    "### Question: simulation des instants de défaut\n",
    "\n",
    "Ecrire une fonction (avec les arguments adhoc) pour simuler un échantillon de $X$.  \n",
    "On utilise dans la suite $n =20$ instants de défaut et $\\lambda_i = 0.4$ pour tout $i \\in \\{1,\\dots,n\\}$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "f4b00f95-8a30-47c7-adef-9ef2af797597",
   "metadata": {
    "tags": [
     "aremplir"
    ]
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Empirical mean of defaults:  6.5962\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "np.float64(6.5935990792872134)"
      ]
     },
     "execution_count": 84,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "def instant_default(size: int, n: int=2, rho: float=0, lambd: float=0.4):\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",
    "        p = 1 - np.exp(-lambd)\n",
    "        return np.sum(copule_gaussienne(1, n, rho) < p)\n",
    "    \n",
    "    sample = np.array([one_realization() for _ in range(size)])\n",
    "    return sample\n",
    "\n",
    "sample = instant_default(20000, n=20, lambd=0.4)\n",
    "\n",
    "print(\"Empirical mean of defaults: \", np.mean(sample))\n",
    "20 * ( 1 - np.exp(-0.4) )"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ff4e517e-9a61-4de3-a094-effb296b8a4e",
   "metadata": {
    "tags": [
     "question"
    ]
   },
   "source": [
    "### Question: création d'un ensemble de scénarios `samples`\n",
    "\n",
    "Créer un vecteur `rhos` de taille 4 avec les valeurs $(0,0.2,0.6,0.8)$ et créer une matrice `samples` de 4 lignes et 20000 colonnes, dont chaque ligne sera remplie par des simulations de $X$ pour une valeur de `rho` donnée.\n",
    "Remplir cette matrice avec réalisations de $X$. Il faut que les éléments de la matrice `sample` soit de type entier `np.int64`.\n",
    "\n",
    "Cette matrice sera utilisée dans la suite pour le calcul de la moyenne et le tracé des histogrammes.  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "6b1ef28a-6110-406f-a248-d6e5759c06d8",
   "metadata": {
    "tags": [
     "aremplir"
    ]
   },
   "outputs": [],
   "source": [
    "rho = [0, 0.2, 0.5, 0.8]\n",
    "\n",
    "samples = [instant_default(20000, n=20, lambd=0.4, rho=r) for r in rho]"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a7da1000-dbf3-4703-a645-0416a2b280c6",
   "metadata": {
    "tags": [
     "question"
    ]
   },
   "source": [
    "### Question: calcul de la moyenne \n",
    "\n",
    "Calculer (mathématiquement) $\\mathbf{E}[X]$ en fonction de $\\rho$ et vérifier ce résultat en calculant la moyenne empirique de chaque ligne de la matrice `samples` des réalisations de $X$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 108,
   "id": "193b8cd7-9b4a-45b8-8fce-726817e95809",
   "metadata": {
    "tags": [
     "aremplir"
    ]
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Empirical means of defaults for different rho:  [np.float64(6.58715), np.float64(6.6223), np.float64(6.5811), np.float64(6.659)]\n",
      "Theoretical mean of defaults:  6.5935990792872134\n",
      "size of samples:  [(20000,), (20000,), (20000,), (20000,)]\n"
     ]
    }
   ],
   "source": [
    "print(\"Empirical means of defaults for different rho: \", [np.mean(s) for s in samples])\n",
    "print(\"Theoretical mean of defaults: \", 20 * ( 1 - np.exp(-0.4) ))\n",
    "\n",
    "print(\"size of samples: \", [s.shape for s in samples])"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "24a76c81-5cb5-43f0-8f92-7f474c1870dd",
   "metadata": {
    "tags": [
     "question"
    ]
   },
   "source": [
    "### Question: représentation graphique de `samples` \n",
    "\n",
    "![](img/empirical_X.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 109,
   "id": "1c663c8b-f2ab-42a2-9b41-9773d05bb238",
   "metadata": {
    "tags": [
     "aremplir"
    ]
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x600 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "support = np.arange(0, 20+1)\n",
    "\n",
    "fig, axs = plt.subplots(nrows=2, ncols=2, figsize=(8, 6), sharey=True, layout='tight')\n",
    "\n",
    "for rho, ax, sample in zip(rho, axs.flatten(), samples):\n",
    "    ax.hist(sample, bins=support - 0.5, density=True, alpha=0.6, color='g', label='Empirical distribution')\n",
    "    p = 1 - np.exp(-0.4)\n",
    "    binom = stats.binom(n=20, p=p)\n",
    "    ax.set_title(f\"rho = {rho}\")\n",
    "    ax.set_xlabel(\"Number of defaults\")\n",
    "    ax.set_ylabel(\"Probability\")\n",
    "    ax.legend()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 105,
   "id": "f0242936",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "np.float64(0.3296799539643607)"
      ]
     },
     "execution_count": 105,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "1 - np.exp(-0.4)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "99955b92-dc96-4c8f-9563-e023c24dfa99",
   "metadata": {},
   "source": [
    "## Simulation d'une chaîne de Markov: Urnes d'Ehrenfest\n",
    "\n",
    "On considère $d$ balles ($d > 1$) numérotées de 1 à $d$ et réparties initialement dans deux urnes $A$ et $B$. On note $E = \\{1,\\dots,d\\}$ l'ensemble des balles et on s'intéresse à l'évolution du contenu des urnes après un nombre $n \\ge 1$ de changements d'états. Un changement d'état est modélisé de la façon suivante: \"_on tire un numéro de balle selon la loi uniforme sur $E$ et à un tirage $i$ on déplace la balle numéro $i$ d'une urne à l'autre_\". Le contenu des urnes change au cours du temps et on note $A_n$ le contenu de $A$ à l'itération $n$ (de même $B_n$ est le contenu de $B$ au temps $n$). Ce modèle porte le nom d'[Urnes d'Ehrenfest](https://fr.wikipedia.org/wiki/Mod%C3%A8le_des_urnes_d%27Ehrenfest). \n",
    "\n",
    "Dans le programme de test on prendra $d = 20$ c'est à dire $E = \\{1,\\dots,20\\}$ et le contenu initial $A_0 = \\{1,\\dots,10\\}$. "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f6430dd0-2098-4e99-85b3-91d4465b6df8",
   "metadata": {},
   "source": [
    "### Approche naïve\n",
    "\n",
    "On commence par une approche naïve qui consiste à programmer l'évolution du contenu de l'urne. Si on s'intéresse uniquement au nombre de balles dans chaque urne, il est plus commode d'utiliser la propriété de Markov du système, aussi bien pour l'étude mathématique que pour la programmation."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e7effa6b-61d8-48d9-b41a-d685e139db0b",
   "metadata": {
    "tags": [
     "question"
    ]
   },
   "source": [
    "#### Question: pour manipuler le type `list`\n",
    "\n",
    "En utilisant le type `list` initaliser les listes `E` et `A_0`, puis programmer l'évolution du contenu de l'urne pas à pas (par exemple en utilisant les méthodes `remove` et `append`). Afficher le résultat `A_n` et `B_n` après `n = 100` itérations."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "ec797691-c22a-4586-8e9b-5e91f86f1389",
   "metadata": {
    "tags": [
     "aremplir"
    ]
   },
   "outputs": [],
   "source": [
    "d = 20\n",
    "E = list(range(1, d + 1))\n",
    "A = list(range(1, 11))\n",
    "B = [i for i in E if not i in A]\n",
    "\n",
    "n = 100\n",
    "A_0 = A.copy()\n",
    "for k in range(n):\n",
    "    i = rng.integers(1, d + 1)\n",
    "    if i in A :\n",
    "        A.remove(i)\n",
    "    else :\n",
    "        A.append(i)\n",
    "A_n = A.copy()\n",
    "B_n = [i for i in E if not i in A_n]"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6850ed86-fd79-4a46-be3a-9db1fadaacab",
   "metadata": {
    "tags": [
     "question"
    ]
   },
   "source": [
    "#### Question: pour manipuler le type `set`\n",
    "\n",
    "Reprendre la question précédente avec le type `set` et les méthodes associées: `add` et `remove`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "1cd2a51b-a62e-48ef-beb3-aab46c423343",
   "metadata": {
    "tags": [
     "aremplir"
    ]
   },
   "outputs": [],
   "source": [
    "d = 20\n",
    "E = set(range(1, d + 1))\n",
    "A = set(range(1, 11))\n",
    "B = [i for i in E if not i in A]\n",
    "\n",
    "n = 100\n",
    "A_0 = A.copy()\n",
    "for k in range(n):\n",
    "    i = rng.integers(1, d + 1)\n",
    "    if i in A :\n",
    "        A.remove(i)\n",
    "    else :\n",
    "        A.append(i)\n",
    "A_n = A.copy()\n",
    "B_n = [i for i in E if not i in A_n]"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b23a99ea-95d8-4690-8416-8e7e2c55e383",
   "metadata": {
    "tags": [
     "question"
    ]
   },
   "source": [
    "#### Question facultative\n",
    "\n",
    "Cette construction itérative nécessaire dans des dynamiques plus complexes peut être améliorée de la façon suivante. Si on construit un vecteur `sample` des `n` réalisations de la loi uniforme sur $E$, on peut en déduire directement la composition des urnes à l'itération $n$. En effet la balle $i$ n'a pas changé d'urne entre 0 et $n$ si et seulement si le numéro $i$ apparait un nombre pair de fois dans `sample`.\n",
    "\n",
    "Construire directement `A_n` et `B_n` à partir d'un vecteur `sample` de taille `n` qui contient les réalisations de la loi uniforme sur $E$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "4cf7abde-cfae-4cc0-9b02-df4b25fad5f3",
   "metadata": {
    "tags": [
     "aremplir"
    ]
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "id": "03408529-c663-4580-a43e-31fbeea7ae26",
   "metadata": {},
   "source": [
    "### Modélisation en tant que chaîne de Markov"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "265a3304-71c1-47cc-a699-b3db2e9568fc",
   "metadata": {},
   "source": [
    "On s'intéresse maintenant non plus à la composition de l'urne $A_n$ mais uniquement à sa taille. On note $X_n = \\mathrm{Card}(A_n)$. L'évolution de $X_n$ se fait de la façon suivante: si l'urne $A_n$ contient $X_{n}$ balles alors la probabilité de tirer une balle présente dans $A_n$ est $\\frac{X_{n}}{d}$. Ainsi avec probabilité $\\frac{X_{n}}{d}$, $X_{n+1} = X_n - 1$ (car on déplace la balle dans l'urne $B$), et avec probabilité $\\frac{d-X_n}{d}$ on a $X_{n+1} = X_n + 1$. La récurrence aléatoire suivante permet de construire une trajectoire $(X_0, \\dots, X_n)$ \n",
    "\n",
    "$$\n",
    "    \\forall k \\ge 0, \\quad X_{k+1} = X_k + 1 - 2 \\mathbf{1}_{ \\left\\{U_{k+1} < \\frac{X_k}{d} \\right\\}}, \\qquad X_0 \\in \\{0,\\dots,d\\},\n",
    "$$\n",
    "\n",
    "avec $(U_k)_{k \\ge 1}$ une suite de variables aléatoires indépendantes de loi uniforme sur $[0,1]$."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "958ec13c-0c4f-4139-bede-b4e92d688668",
   "metadata": {
    "tags": [
     "question"
    ]
   },
   "source": [
    "#### Question: simulation de $N$ trajectoires \n",
    "\n",
    "Ecrire une fonction qui permet de simuler $N$ trajectoires indépendantes $(X_0^{(j)},\\dots, X_n^{(j)})_{1 \\le j \\le N}$ de la dynamique précédente, et qui renvoie donc un `np.array` de dimension `(N, n+1)` qui contient ces trajectoires. A vous déterminer les arguments de cette fonction."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "cc970455-7426-4559-9932-d2876c974a0a",
   "metadata": {
    "tags": [
     "aremplir"
    ]
   },
   "outputs": [],
   "source": [
    "def ehrenfest(x0, n, N):\n",
    "    uniforms = rng.uniform(size=(n, N))\n",
    "    sample = np.zeros((n+1, N), dtype=int)\n",
    "    sample[0] = x0\n",
    "    for k in range(1, n + 1):\n",
    "        sample[k] = sample[k - 1] + 1 - 2 * (uniforms[k-1] < sample[k - 1] / d)\n",
    "    return sample.T"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f1b08152-72c9-4330-83b3-e45cec91099e",
   "metadata": {
    "tags": [
     "question"
    ]
   },
   "source": [
    "#### Question: affichage de trajectoires \n",
    "\n",
    "Reproduire le graphe suivant qui représente l'évolution de 5 trajectoires de $(X_k)_{0 \\le k \\le n}$ avec $n=20$. \n",
    "\n",
    "![](img/paths.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "id": "2eace689-3b2d-40c1-9b4c-8ccee3dd846a",
   "metadata": {
    "tags": [
     "aremplir"
    ]
   },
   "outputs": [],
   "source": [
    "trajectoires = ehrenfest(10, 20 ,5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "id": "a03ceffd",
   "metadata": {},
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 800x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(8, 4), layout='tight')\n",
    "for traj in trajectoires:\n",
    "    ax.plot(traj, lw=2)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d17c0fdd-dfcd-4f12-ab26-877cac031430",
   "metadata": {
    "tags": [
     "question"
    ]
   },
   "source": [
    "#### Question: représentation de la loi après $n$ itérations \n",
    "\n",
    "Représenter la distribution empirique de $(X^{(j)}_n)_{1 \\le j \\le N}$ pour $N=100\\,000$ et deux valeurs de $n$, $n = 100$ puis $n = 101$. Que remarque-t-on? Etait-ce prévisible? "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "7de88489",
   "metadata": {},
   "outputs": [],
   "source": [
    "n = 100000\n",
    "\n",
    "fig, ax = plt.subplots(figsize=(8, 4), layout='tight')\n",
    "\n",
    "for n, ax in zip((100, 101), ax):\n",
    "    ax.plot(traj, lw=2)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2308287a-fd8c-4a1c-bb2e-359ddfbca5a5",
   "metadata": {
    "tags": [
     "question"
    ]
   },
   "source": [
    "#### Question: modification de la dynamique\n",
    "\n",
    "On modifie un peu la modélisation précédente en considérant la règle suivante: _\"on tire un numéro de balle selon la loi uniforme sur $E$ et à un tirage $i$ on déplace la balle numéro $i$ d'une urne à l'autre **avec probabilité 1/2**\"_.\n",
    "\n",
    "Refaire les questions précédentes avec ce nouveau modèle.\n",
    "On peut montrer que si $X_{n} \\sim \\mathcal{B}\\bigl(d, \\frac{1}{2}\\bigr)$ (loi binomiale) alors $X_{n+1} \\sim \\mathcal{B}\\bigl(d, \\frac{1}{2}\\bigr)$. On dit que la loi binomiale $\\mathcal{B}\\bigl(d, \\frac{1}{2}\\bigr)$ est invariante pour la chaine de Markov. De plus pour toute configuration initiale $X_0$ la chaine $(X_n)_{n \\ge 0}$ converge en loi vers cette mesure invariante $\\mathcal{B}\\bigl(d, \\frac{1}{2}\\bigr)$. On veut illustrer cette convergence.\n",
    "\n",
    "Comparer cette loi binomiale avec l'histogramme empirique de la loi $X_n$ pour $n$ grand (par exemple $n = 100$, vous pouvez choisir $X_0$ fixé à 10)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "id": "2686f1b7-b496-4d2b-82dd-b85b98590ff9",
   "metadata": {
    "tags": [
     "aremplir"
    ]
   },
   "outputs": [],
   "source": [
    "def ehrenfest_modified(x0, n, N):\n",
    "    uniforms = rng.uniform(size=(n, 2, N))\n",
    "    sample = np.zeros((n+1, N), dtype=int)\n",
    "    sample[0] = x0\n",
    "    for k in range(1, n + 1):\n",
    "        sample[k] = sample[k - 1] + (1 - 2 * (uniforms[k-1, 0] < sample[k - 1] / d)) * (uniforms[k-1, 1] < 0.5)\n",
    "    return sample.T"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "id": "348ad0c1-7be4-47f9-8731-30ff57e37cff",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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sGAV3Gvh1REgAXpuXBbmcBTERQohnoQUEIYQQ4mZXb9Zg56kSfi2XyfDG/CyEBqrdPS1CCHkoWkAQQgghblTbqMfH2/McY1auNbVXuFvnRAghP4cWEIQQQoibmC1WrNqSg1a9mY+HpUZjzuje7p4WIYT8LFpAEEIIIW6y4WARisub+HVMuAbLH8+ATEZ5D4QQz0YLCEIIIcQNzhVU4cCFe/yaNYl7a8EgBGpU7p4WIYT8IlpAEEIIIRKrqGvDZ9/nO8YvzEpF3/gQt86JEEI6ihYQhBBCiIQMJgtWbb4GvdHCx+Oy4jBlSKK7p0UIIR1GCwhCCCFEQuv2FuJedSu/TowOwotzBlLeAyHEq9ACghBCCJHIsStlOHGtgl8HqBR4a0E2AtQKd0+LEEI6hRYQhBBCiATuVDZj3b7rjvFLj6TzEwhCCPE2tIAghBBCepjOYMb7W3JgMlv5eNqwJIzNinf3tAghRPoFxIcffoilS5c+8LGDBw/iqaeewrBhwzB9+nT88Y9/hF6v786XIYQQQryWzWbjFZcq63V8zKotPT8j1d3TIoQQ6RcQ69evx7vvvvvAx86fP4933nkHs2bNwubNm/G73/0O33//Pf7pn/6p6zMkhBBCvNj+8/dwvrCaXwcGKHneg0pJAQCEEO/V6XewyspKvPHGG/jTn/6E5OTkB/6/r7/+GmPGjOH/P/v/pkyZgr/5m7/B9u3bYTQaXTlvQgghxOPdLG3EN4eKHOPlczMQE65165wIIaS7lJ39A7m5uVCpVNi2bRtWrlyJ0tJSx/+3bNkyyOUPrknY2GQyoaWlBZGRkd2eMCHEczQZm3Hk3kmkR/RHWsQAt8zBarPh4IV7KK0RZTG7Si6TQR2ghNFg5p+TdB3dS6erN2thsYp78OiYPhiWGuPuKfkts8mCK2fvIi4+FEkp4e6eDiH+tYBgeQ3s18NkZmY+MGYLhzVr1iA7O7tbiwelm496FQr5A/8lXUf30nfupdFiwsrLq3GvpRx7Sw7hV6PeQv/wB08lpbDl6C1sOnpL8q9LSGek9w7HszMGQPGDTTZP/z73pTyUfduuoyivio9nzB2IzKEJ7p6WV6PXpn/fz04vIDrKbDbj17/+NW7cuMHzJbpKLpchIsIzytyFhtKxs6vQvfT+e/n+2bV88cBYbVZ8cm09/jjnHxAaECzZHC4VVmHzMVo8EM8WHa7Fb18Zjaiwrn+v0ntm95w9XuxYPDCHd19Hv9QYJPQKc+u8fAG9Nv3zfvbIAoKFK/31X/81zp49i/feew+DBw/u8ueyWm1oamqDO7HVIPsHbWrSwWIRJfhI19C99I17ebL0HA4Vn3zgY7W6evzHsdX4i+HLIZf1/A5KXZMe/7buPNojZOZNTMHojNhu3c+goAC0throtdlNdC+dWIfp2Agt5FYr6us7H2ZH75ndV1HahL1b8x74mMVsxYbPzuH5FSMRoFG5bW7ejF6bvnc/2dfv6AmIyxcQVVVVePXVV3luxCeffIJRo0Z1+3Oa7XWz3Y39g3rKXLwd3UvvvZelLeX4Mn+TY7xwwOPYf+cImo0tyKstxM6i/Xg0ZWaPzsFsseK9TdfQ3Gbi48H9ozBvQjKPve9OqCQ77WQPefTa7B66lz/W3ftA75ldo9eZsPu7HL4ZyQwelYSaihaU3W1EU4Me+7bmY86TWXyhR7qGXpv+eT9duk3Y2NiIl156CXV1dTxsyRWLB0KI59CZ9VidsxYmq3hwn5A4BjP7TMGyrBcgg/gBvLN4HwrqbvToPDYduYWie438Oio0ACvmZnZr8UAI8c28h4M7CtDcZODj+KRQTJw5AE+/OAIBGrF/WnyjFlfP3XPzTAnxPi5dQPz+97/H3bt38W//9m88abq6utrxy2KxuPJLEULc8MP4y4JvUdVWw8e9gxPxTOo8fs0qMM3tN1v8PtiwJvcrNBjEA76rXbxejd1n7/BrhVyGNxcMQrCWQhAIIQ+6dPouSm7W8WuNVoVZ8zN5eEZ4ZCBmzc9w/L7Th4tRbt+QIIRIvIBgCwTWNI5VXmKnEBMnTnzgV3m5SLYkhHgnVq71YtVVfq1VarA8eylUCueD++y+05AZlc6vm00t+DRnPSxW124cVDXo8MnOfMf4uekD0C8x1KVfgxDi/UpLGnD2aLFjPHPeQASHBjjGKanRGDa2N79m4U37tuZB10b9qgjpqG7lQPzhD39wXCsUCly9Kh4uCCG+pbjxDjYV7XCMl2Y8i5jAqAd+D0ucfinzefzh7H+h3tCAm423se3Wbp4j4QomswWrNl+DzmDm41EDYzFjRC+XfG5CiO9oazFi37Y8R4GFkRP6onfKj0vJj56cgsrSJp4P0dpsxP5tBXj82UG8+iMh5Od5R7FZQojbtJha8UnOOlhs4jRhRu/JGBKT/dDfG6wKwvLsJVDIFHzMkquvVue6ZB5f7b+BO5Ut/DouMhAvPzqQEh8JIQ/gpwnb8qBrFXlavZLDMWJC34f+XrZQmDk/A9ogcZJ673Y9LpwskXS+hHgrWkAQQn4S6+/wRd4GfqLA9AtLxvz+j/7sn0kJ6/PAqcMX+d+gRifikLvqVE4FDl8u49dqpRxvL8iGNqDH2tgQQrzUuWO3UXZH5DMEBasx44mMnz1RCAoOwKx5mWjfizh/vAR3i7v3fkWIP6AFBCHkJ+0tOYzc2gLH6QKrtqSQi9OFnzO11wQMixX9X3RmnajcZBE7gp1VWt2Cz/eIOTBLZqejV6x0zeoIId6hpKgWF0+JAgtsQcCSpgOD1L/455L6hmPUpGTHmIUytdgrNxFCHo4WEISQh7peX4Qdt/bwa1ai9eWsRYjQhHfoz7LQosUDn0asNpqP7zaX4tui7Z2eg95oxqotOTCaRE3siYMT+C9CCLlfc6MeB3Y4NxrGTu2HhN4d7zI9fFwf9Okf6egdwZKqqTkaIT+NFhCEkB9pNDTh09wveUlWhjWGy4hM69TnYJWaVgxaCpVchBodLz2NcxWXOlU29ovdhSivFZ3oe8UEY8mszs2BEOL72IP+3i15MOhFgYWU1CgMGd25Agts02PGXGelJta9+swRZxUnQsiDaAFBCHkAK736We6XvLM0MzAiFY8mz+jS50oKTsBzaQsd4y8Lv0NFa2WH/izLeTidJ36vRq3A2wuzoVb9cvgUIcS/nDp4C1Xlzfw6NFyDaY93rcAC6xUxe0GmI2fiytl7KL4u+t4QQh5ECwhCyAN2FO/FjYZb/Do8IIyHLrESrV01LnEUxiaM5NdGixEfX1sLvfnn44tvVzThq/3XHeNlj2XwykuEEHK/ovwqXLtQyq8VChlfALR3me6KuMRQjJ/e3zE+uLMAjfU6l8yVEF9CCwhCiMO1mjzsLTnEr9miYVnWYoSou5+w/FzaAiQGxfPrirYqfF24iYcoPUyr3oRVm3Ngtoj/f+bIXhg5MLbbcyCE+Jb62jYc3uXcaJgwcwBi4kO6/XmzRySi/8AYfm00WHh4lNlM+RCE3I8WEIQQrlZXx0u2tlvQ/zH0D3dWJukOtULN8yE0ChFffK7yEo6XnfnR72OLik925KOmUc/H/RND8ey0AS6ZAyHEd5hM4sHeZBT9aVKzYpE51DUFFlj409RH0xAWoeXjmsoWnNhf5JLPTYivoAUEIQQmqxmf5KxHm1kc1bNGcdN7T3Lp14gLjMHijGcc42+vb8Wd5nsP/J7dZ+/gcpGIOQ7WqvDmgmwoFfQ2RQh50LG9N1BX3cqvI6IDMWVOmksbS6oDlJizMBNKpXj/ybtcjus5HcvfIsQf0E9mQgg2F+1ASfNdfh2ticSSgc/0SJfn4bGDeY8IxmyzYPW1dWgziUXL9bsN+O6wyL1gX/nVJzIRGapx+RwIId4t/0o5Cq+Jh3mlSo45CzKhUru+wEJUbDAmzU51jI/sue5YtBDi72gBQYifu1B5GUfuneTXSrmShxoFqsTRfU9gXaqTQ/vw61p9Hdbmf4OGFgPe35oDqz0v4vHxyRjUL6rH5kAI8U4snOjYPmc40ZRH0hARHdRjX2/g4Hj+izGbrNhzX9gUIf6MFhCE+LHK1iqsL/jWMX42dT56hyT16Ndki5Tl2YsRpBRVla7W5OJPB75DY4uRjzP6RmDBxJQenQMhxPuwPg8s78FiT2jOHJaAtKy4Hv+6k2YNQFSMWKQ0sMTt3dd/sggEIf6CFhCE+ClWUnV1zjoYLOLBfXT8cIxPHC3J147UROClrOcd47rgK5AH1yMsWI3X5mU56rATQgjDHtgP7yp0lFSNjgvGhBnSFFhQqhSYvdAZJlWUV4XcS+WSfG1CPBUtIAjx0x/GXxduRllrBR8nBMXh+fQneyTv4adkRQ3E8LBx/Foms0E94DJeejwFYUFqyeZACPEO186X4lZhzUMTnKUQHhmIaY+lO8YnDhQ5mtcR4o9oAUGIHzpVfg5nKi44S6xmL0GAQtoH97omPS4fj4KlKZKPZWoDjjV8D6uN6q0TQpwqShtx6pAosMBMn5uO0PCey9P6Kaw3xKCRIsTTarHxcCqD3iT5PAjxBLSAIMTP3G0uw4brWxzjxQOfRnxQz8cR389sseL9LTlo1ZlhvDkECquotlRQfwO7ivdLOhdCiOfStZmwd0s+rFaRczB0TC+kpEa7bT7jpvVDXKJoVtfcqMeBHYWUD0H8Ei0gCPEjOrMOq3PWwmw18/HkpHEYGTdU8nlsPHQTN8ua+HV0YBhWDFoCGS/eCuy6fQD5tc7usoQQ/8QezA9sz0drs4GP43uFYvRk9xZYUCjkmDU/EwEaJR+XFNXi8hlRApsQf0ILCEL86IfxuvyNqNHV8nGfkF54MvUJyedxvqAK+86LH7hKhYw3ixscl4Z5/R8R84QNa/K+Qr2+QfK5EUI8x8WTd3C3uJ5fawNVmD0/kz/Au1tImAYz52U4xmeOFKPsDr1fEf/i/u9EQogkDt07jsvVOfxaq9RiefYSqORiF00qlfVt+GxXvmO8aEYqUhJC+fXMPlOQHSV+KLeYWvFp7npYrFRvnRB/dO92Pc4dv+0Yswf2oJAAeIo+/SIxYrzoZ8MimPZty0dbq6hoR4g/oAUEIX7gVmMJNhftdIxfynwO0VqRvCwVo8mCVZtzoDOIRcGYzDhMHebsOSGXyfFi5nO8xGv7nLfc/F7SORJC3I+FLO3fls8fzJlRk5LRK1m8L3iSkROTkdQ3nF+3tRj5nNtzNQjxdbSAIMTHtRhb8UnOOkd1o1l9pmJQdKbk81i/7zruVrXw64SoQLz0SPqPysYGqQJ5RSilTNRbP3j3GC5XXZN8roQQ92AP4Pu25vPkaaZ3SoRjp9/TsH417GQkMFhUsCstacD5+05NCPFltIAgxIexRQPLJ2gwNPLxgPAUPNFvjuTzOHGtHMeuisZLapUcby3Ihkb98PCpvqG9H8jNWJu/EVVtov47IcS3sXyC8nvi/YqFLM14IkPS/jSdFRikxqx5bI5ifOHkHdy5VefuaRHS42gBQYgP23P7IPLrREWjEFUwlmUthkIudvelcq+qBWv3FDrGL85JR1JM8M/+GVYdakTsEH6tt+j5CYrRQvXWCfFlxTdqHBWN2O7+7AUZPHna0yX2CceYKc7qUKxyVEuT3q1zIqSn0QKCEB9VUHcDO4v38WtWIvWVrBcQFiASlqWiM5ixaksOjGYRPjVlaCLGZyf84p9jO44vDHwKcYExfHyvpQzf3tja4/MlhLhHU4MOB3c4NxrGTuuH+KQweIuhY3qj74Aofq3XmXmTOYuFmmIS30ULCEJ8EAtZWpP7FS+JysztNxvpkQMkLxu7ZlcBKura+LhPXDBemJna4T+vUWqwInspVHKxA3mi7CzOlIvu2YQQ32ExW/kDt9Eg+tP0S4/GYHvHZ2/BNj1mzE3nJV6ZyrJmnL6vezYhvoYWEIT4GFb69NOc9Wg2iYTlzKh0zO47TfJ5HLxYinMFVfxaG6DkeQ8qZefCpxKD47Eo/UnH+OvCTShrqXD5XAkh7nPiwE1UV4j3q7AILaY++uMCC94gQKPC7AWZkCvE3K+eL8XNgmp3T4uQHkELCEJ8zLZbu3GzUVQCiQgIx0uZz/MSqVK6VdaErw/ccIyXPZaB2IjALn2uMQkjMD5hNL82Wk28k7beTPHFhPiC67mVyL1Uxq8VCpb34Ozy7I1iE0IwYUZ/x/jQ94VosJ/CEuJLaAFBiA+5Wp2L/XeO8GuFTIHl2YsRrAqSdA4tOhPe35IDi70e+pzRvTEiXeQydNUzafPRKziRX1e2VePLgu94iBQhxHvV17TiyG5R5IGZNDsV0XE/X2DBG2QNS8SAzFh+bTJasHdzHswmaopJfAstIAjxETW6OnyR/41jvHDA40gJ6yvpHKw2G1bvyEOtvQLJgF5heGqKczeuq9QKFc+H0ChEfPGFqis4Vnqq25+XEOIe7MF6zxb2YC0SjdOz4zBwcDx8AQu/mvpIGsKjxKlrbXUrju0rcve0CHEpWkAQ4gNMFhHaozPr+HhY7GBM7TVB8nnsOl2Cqzdr+XWwVoU35mVBqXDN20xMYBSWZjzjGH93YztKmkTJR0KI92Cnh0f3XEd9jQjtiYwJwqQ5qV6Z9/BTVGoF5izIhFIl3v8KrlbwX4T4ClpAEOIDvi3ajrvNpfw6VhuNxQOflvyHcUFJPTYdFVVH2Fd+fV4WIkPFiYGrDI0dhOm9J/Frs82C1Tnr0Gqi+GJCvEn+lXJcz61yPGizvAeVStr+NFJgC6PJc9Ic42N7b6C2SiSLEwJ/X0B8+OGHWLp06Y8+XlJSgqFDh+LevXvd/RKEkJ9xtvwijpee5tcquRIrBi2FVunaB/df0thiwAfbctGelvDEhGRkpUT2yNda0P8xpISK0Kw6fT2+yNvAO24TQjxfdUUzjt8XzjP10TRE2EN9fBELzcoYInrfmM1WHrbVXq6WEL9dQKxfvx7vvvvujz5+8+ZNLFu2DDqdCKcghPSMe03lWJf3rWP8XNpCJAX/cqM2V7JYrfhwWy6aWo18nJUcgXkTnF1ZXY110r4/OTynNt+ROE4I8VwGfXuDNbHTkD08EQMyRLKxL5s4a4AjObyxTofDu65TEQjinwuIyspKvPHGG/jTn/6E5OTkH51IPP300wgL854OkoR4I73ZgH8/8REMFvHgPjZhJMYljpJ8HluOFaPgTgO/jggJwKvzsiCX92z4VIQmHC9nLuIdtpntt/bgRj01bSLEU7EH5kM7C9DUoHeUOx0/vfsFFryBUinnYVrqABGmxXpD5FwUpWsJ8VZdKracm5sLlUqFbdu2YeXKlSgtFbHXzP79+/H73/8eERERePHFF105V+JGLERk681dKG68g6fTnkCfkF7wV2yn/fPdBVAo5Hj5kXQEakSnZClZrVYc/fQPmJ53G3Kr2JWP0JxHMaTt1GwwWZDUYsBr9rwHtoCo/b/bINKoexYL0nrD1Iomsxl3Qsfh1IlT2DTqW+hCu7azx3JG2MLHarV1eXdQrVBjXr9HkB2dAXfQ376N6g1fQtOvP6KfegYyOaW5Ec9w5ew9FN8Q7wyszwN7oFYo/ef1yRrkTXtsIPZszuXjkwdu8kVUXGKou6dGiHQLiOnTp/NfD7Nx40b+3zNnzsCVq3d3Yg+K9//XH+0uPuwIE/nw6hr8z7F/g9CAEL+7l+3hOvkl9XzMHjb/6pnBkicsn930KXqdvnn/zGBuEkmJUmL/ig9kOtQ1wyTh12dLt9L46ajXipyIuHNKnB9zHjZ7J1h3+DR3PX475q+QEBwn6dc1Nzai7L13YW5ogO7GdahCQxD9+Fy4g7d/n3sSX7iXZXcbcPpwsWM8a36G2/Ie3Hk/07JiUVnWhMtn7vKfHfu25OG5FaOgDZR+E8oVfOG16UkUXnY/Pb7dI9sRjIiQthHWTwkN1cIf5VXdwNai3Y5xg6EJXxR8jf85+S8h7+IOp7feyy++z3MsHpiL16tx+EoFnpw2QLI5FF48Ae2Oo84PBGqhVEj/rdyqNzlimVVKObQB0s+hODANNcHOXhc6ZTxGXhmAgrHSl0s0Wy3QmfU8pIxVh/r/Zv09NMoASb62zWJB7n/8G188tKv67lvEDstGWFYW3MVbv889kbfey9YWA/ZuyXec6k2Y3h/DR0vbn8aT7ufjTw1CTWUL7t2uR3OTgedDLFo2CrIeDvvsSd762vRUoV5yPz1+AcFW6U1N7i3TyFaD7B+0qUkHi8W/qr00GZrxn6dXO6rcsO7GFpsF1yoLsfbCFswbMMdv7uWVohpsPHCDX8tlMt40jfl8Zx4SI7VI7xPe43NobqxF8X/8GSH2W1c/OhWT/+J3kt/LtXsKse+c6MEQG67FP60YjSCJQ7nK7jTgxtrLLLiaj2U2K2wyOXTmgVhuGomMWaMkfW0aLUb8/sx/o6ylgie3rzq5Fi9nPy/J6VTVpu/QePWaGCgUgMXC3jxR8P/+A/3+6V+glDgnzZu/zz2NN99L9vN721dX0Nwo8h6S+oRj6NheqK9v9ev7OWveQHy1+jz0bSYU5Vdh//f5GDnB/Ysqb7yXvkThAfeTff2OnoB4/AKivfSZJ2D/oJ4yFymwRcPHV9ah0dDExwMjUjEneRr++9LHsMGG72/tR3JIH2RGpfv8vaxp1OGDLTmO8dNT+/Md+J2nSvhCYuWmq/jHV0YjNEjdo3kPF//rXxHTLIKE6mODMPtv/xGtOouk9/JsfqVj8cCaxL25IBsBSoWkc2hrNWL3JlY2Viweho/vA8vtIlwpE/f/yKlaRPcrRUTfBMlem3IosSJrCf54/r/5KcTp8gvoF5qMCUlj0JNac66iZvs2+yTk6PU3v0Ldzu1oy8/jJxJ331+FXv/j79ySD+Ft3+eezBvv5bnjt3G3WJzYaoNUmDFvIFvX8vcyf76fmkA1Zj4xEDs2iEX/6cO3EBMfgqS+Pb8J1RO88bXpySxecj+9I9CKuMXOW3txvUHE2YepQ/Fy1iKkRQzgSaIMW0SsyfsK9Xpn2IQvMluseH9LLlr1onb3sNRozBndGwsmpWCg/dShocXIcyPYjltPOffNKsTcquHXerUcaX/5K6g10vZ7KK9txWe7ChzjF2alom9853NhuoPd4/3b8tHaIqpPJfYJx6iJyRi7ZAbiFY38YyZ5AHZ/eR5mg/g9UokLiuVN/Np9c2Mr7jT3XC8cU10tyld/5DiFiV74FAIHZiB+xetQhInXpq4gH7VbN/fYHAh5mLvFdTh/vIRfs0O4WfMyERQsTUifN+idEuk4dWDfvvu25fFwL0K8BS0gyEPl1hZgd8lBfi2XybEsezFC1KKO9cy+U5AdJarMsC7An+Ssh8Vqga/acLAIxeXiFCY6TIPlj2fwsBSFXM67LYfZTx1YbsS2E85EQVe6cekIwg6cd4yVi59CTK/+kldcWrUlBwaj+LcelxWHKUMSIbXzJ0pQWiIWrYFBasyal8FzpVg+zpxlU6C1iPCIBlkoDq7eK/n8RsQNxZRe4/m12WrGJ9fWoc3k+p44NrMZ5R+sgrVFdLYNGjwEEXMe5dcsZCnh9Tf5iQTDTiRar111+RwIeZiWJgP2b3NuNIyalOy1u+s9acSEvuiVbF/ot5qwf2t+j25CEeJKtIAgP8K6+36e+7VjPL//oxgQ7mwMxhYUL2Y+h0hNBB8XN5Vgy83v4YvOFVThwIV7jnCdtxcOeqBsa1hwAN6Yn8V32JjtJ24jp9i1RUwbasvR8tkXkNt/rtSMz0TmhMchtXV7C1FaLR7Ok6KD8OKcgZJXn2K7mhdO3LerOT8DgcHOsLHAqDDMfLQ/ZDaxyLnZHIKcnacgtYUD5qJvSG9+XaOvw7r8b1zeOKr622+gvyVOCJXR0Yhf9uoDYUqBaemIftJ5GlK++kOYaqUosEv8Pfxi39Y86HUi1LJP/0gMH9fH3dPySGzjY+a8DASFiPewsruNOHusZzahCPG4BcQf/vAHrF279kcfHzNmDAoLC9Grl//2C/BGfMc0Zz1azSJxfXB0Fmb0nvyj3xekCsSK7CVQykRjnIN3j+FylT2J00ewcJ1Pv893jF+Y+fBwnfQ+EXhycj9+zR4RP9qWh7omkTTYXRaLGXl//gOC2sQDcW1iKEYv/WtI7diVMpy4JiobBagUIu9BLf7tpdLSpOehS+3GTEnh4Us/1Gt4Okb0cy5sTl5pRXXhHUhJJVdiefYSBCpFNY0rNbn8e8RVmi+cQ8N+cboiUyqR+MbbUASLE8L7sROJoKHD+LW1tRXlH67kJxeE9JQzR4pRUSpObINDAzBjrvQbDd5EG6jGrPmZjk2oS6fuoqSIFvrE89EJBHnA5qKduN0kHraiNJFYmvHsT7759w3tjSdTn3CM1+ZvRFWbiNH3dj8M1xnLwnWG/nS4zqNj+2JI/yh+3aIz4f2tOTx3orvOrn0X0fdEXH+bVoH0d/4eSlXPJWo/zJ3KZqzbd90xfunRdCRGB0m+q7l3az70OvHw27d/JIaOETv8DzPimSnopRb3zSJXYc93V2FokbaaW5Q2Ai9lPu8Ys1O6mw23u/15jZUVqFzzqWMc89wiaJKdJ4T3Y9+78a+s4CcUjP7WLVRv3NDtORDyMLcKa3jDuPbdddYsTqP1zh4HUkroFYaxU8UmFHNgR4GjchUhnooWEMThYtVVHL53gl+zkwV2whCo+vl6xJOTxmFE7BB+rbfosTpnLYwWKVuJ9Xy4TkJUIF6ck/6zu2isrOvyuZmIChVJzTdLm/Dt4fsbvXVe/qndiDwuKj9ZZUDgSy8gMjYJUmrTm/lCymSvCDFtWBLGZsZDaqxKSaV9VzMkNADTf2FXk+VDzF4xA0FWkR/QLA/B/tUHIDXWkXp232mOqmasyVyzUcypK6xGI8reXwmrTuRUhIweg7CpD2/q2U4RFITEN97hJxVMw4F9aD5/tstzIORhGut1OPS9M+9h/PT+1GW5E4aM7oWUVLEJZdCbsXdLHixeUImH+C9aQBCusq0a6/NFF3Hm6bR56BP6y+Fn7CHuhYFPIS4who9LW8qx8fpWeLP7w3XUKjneWjgIGvUvVzwO1qp4aI/C3hBo77m7uFDYte7QNeW3YVz3DdofkRunDkfayBmQEovZ/2xXPqrqxcMqC996fkYqpHarsBpXz5Xya7lChtkLO7arGRAaxHdA5VZxanFHH4qL393XgE8ic1NmIzVc7C42GBqxJvcrR1+Vzqr6ch2M90QJXVV8POJefLlD4SGa5GTEPPeCY8xOMIwV0jfbI76JlZxkD7xGgzix7T8wBtkjpC+w4M3Y9/G0xwciNFxsQlWVN+Pkwe5tQhHSk2gBQXgDrE9y1kFvESXkRsUNw8TEsR3+8xqlBiuyl0IlFw91J8vP4kz5BXijH4brvPzIQJ4w3FH9EkMfeMhmORSV9Z0LnTEbDSha+SdoDeIhszo5EiOffwtS23/+Hi4UVvPrwAAl3lqQzTtOS7+rWegYT5jRH7EJHd/VjM9MwdgsZ+nIc4UmlF8tgpQUcgVeyXrBUcWsoP4Gdt3u/GlI44njaDouFkAytRqJb/4F5JqOdywNmzoNIWPE97VVr0fZByv5iQYh3XVifxHvrsyERWox9dE0ynvoggCNkm96KBTi3uVcLOON5gjxRLSAINhwfQs/OWDiA2PxfPqTnX7zTwyOx6L0Jx3jrwo3OT6nt/hhuM5UFq6T1flwnenDkzA6I5Zf6wwWvL85B0ZTx8vcnvnsT4isED+MW4KVGPzOb6FQSNvz8WZpI7455HzQXjE3EzHhHX9YdQWzyYK9m527mgMyYpA1rPO7mkPmT0RKoAh/ssqV2LvjOnQNXQ8j6oqwgFAsy1oMmf1MaVfxfuTXOReqv8Rw7y6q1n/hGMctfQkBSZ0LZ2Pf03FLX4Y6QdxDdpJR9eWPC2AQ0hmFOZXIuyze65VKOeYsyIQ6wCt61Hok1lBu4qwBjvHhXddRXytt/hYhHUELCD93quwcTpeL/gJquQorBi2FRtm1Zj9jEkZgfMJofm2ymsSphtk7EsF+FK4TF4JFM5xv4p19UHvpkYGIjwzk4ztVLfhy/40O/dlrBzch5pz4vRY5ELF8OULCRXiYVJrbjDwJ3GKvR/7omD4YmiqScKV0nO1qVokH/fBILaY80vVdzemvzkKoVSwi2uRB2PvJQcm74aZF9MfcfnOcTRhzO9aE0arX8bwHm/20IGzyFISOm9ClOcg1GiS8+TY/wWCajh9D43HXVYci/qWuuhVH9zgXwpNmpyIq9sfVwEjnZAxJQFqW2IQyGS08PMzUiU0oQqRACwg/xk4INlx3dqhdNPApJATFdetzPpM2H72CEx15FV8WfOfy+vc9Ha6jDVDizYUsXKfrZUrZ53hrYTbU9pCfozyv4udPZMpLCoCN2x3jljnjkTJoHKRktdnw8XZWhlaEs6X1CsOTU5zVQaRSeK0C+VcqHLuasxdmdWtXU63VYM5zw6C0iofwMlMYzn11CFKb3XcqsqIG8usWUytPqv65Jozse6dizWcwVdpL6Pbug5hFi7s1h4DEJH4S0Y6dbBjuirwKQjqKPdju2ZIHs0ksxAcOjue/SPexjZLJc9IQER3oWKgd23PDK36WEv9BCwg/pTPrsfraWpjsCaYTk8ZidPzwbn9etULF699rFCIR7ELVFRwtlb6RV/fCdTIQ64JwnV4xwVg6J90xXrunEPeqHx46o9e14u6q/0KASfyAqE6Lw4iFKyC1nSdZI7w6fh0aqMLr81lSuLRvE7V8V9N5YjP5kTRExXS/bGx0/16YOMKZP3Hpjgx3zuVBSu1NGCMCRP+KW40l2Hpz10/+/oZDB9Bir5gk12qR8OY7kLugjG/ouPEImzKVX9tMJpR98B4s9spOhPwS9iB7ePd1NNhDa9j356T7wm5I96nUCh4OplTJHaFiBVep8AHxHLSA8NM3f1ZxqUonejb0DknC0wOc/Ry6KzYwGksznnGMv7ux3dFbwtP8MFznkTF9MCzVdSFDEwYlYPKQBH5tNFuxanMOdIYfN/K68PEfEV4rHuCawtQY9tZveSlSKeXfrsOW46ILKosUem1eFiJCuhbO1lVGgxl7N+fyqi7tR/np2d07FbtfxpwxSAsTizibTIEDe0vQWv3LYUSuFKwKwopBS6CwN2E8cPcoLleLcr3307GeDRu+cozjXlkBdawIa3CFmOdfQECfvvzaVFmJys8/pR1O0iG5l8pRlFfleNBlldGUKmkbS/qDiOggHrrZ7tg+Z7I6Ie5GCwg/xHo9XKoWXaO1vILSEqgUrm32MzR2EKb3nsSvLTaL6G5t8qxEsB+G66SycB17R2lXemFmGvrY44Ir6trw+e6CBx7ULn2/DjFXxQLLpJAh7o23EBj84w7LPam+2YAPt+WifVoLJqYgMzlS0jmwe3KE7WrWiYVUdGzwA8mErjJl2SxEQjSZ0ysCsfuzo7BapI0vTg7tgycHzHWM1+Z9g+o2Z/dZS0sLyj9YyTro8XHErDkIGT7CpXNgJxksH4KdbDAt58+h4cB+l34N4ntYedETB5wnttMeS0e4Pd+LuF5aVpyjeATrC8HyIVifCELcjRYQfqa48Q7vNt1uacZziNaK5jWutqD/Y0gJFTucdfp6fJH3dZfr3/d0uE5IoApvzM+GUuH6bwm1SsFzKrQBYofubH4VDl4UfQ3u3rgM9VZnSU/j/BnonToUUrJYrfhwaw6a2kQDwOx+kXh8fDKklstLFoo8FHWAfVezB8rGKgPUmLNkLFRWkeBfZQ3Dic+lf3Ce0ms8hsUOdjRh/CRnLUwWE2xWKyo++QjmOrGg0PQfgOinnCd6rqSOiUX8MmeoXPXGr6G7RbXnycMZ9Cb+AGu1iJ2GQSOTeM8H0rNY+eqY+GBHaevDuwrptJC4HS0g/AhL2mSVkdiJADOjz2QMicnq0fr3y7MXI0gldqdyaguw9/ZheIIHwnXQ8+E6cRGBWPZYhmP89YEbKLx5F5UfrILK/sO4Ors3hj22BFLbdOQWrt8TO/LsHrw6N5N31pZSVXkTThy4+cCuZlhEz5WNDe8ViykTYtmxBx/nVKpRdOQypE6UXDzwacRqRYWruy1l2HhjG+p3f4/Wa1f5xxTBIUh4/S1HF+meEDxsBCJmPyIGFgs/+WAnIITcjz2wHthRiOZGsfCOSwzBuGnSF1jwRwpWSOK+8ri3Cmtw9bzYhCLEXWgB4SfYzv/neV+j3iDivfuHJWN+v0d7/OtGaMLxcuYiR/37LTd2Ia+q4/XvpQjXmT8pBVkShOuMSI/F7FG9+bXFYsGNz/8doY2iKlBDlAYjXv8NpHbpRjV2nRHhU6yDNmsWFxLY/STdztDrTLzfg9WehzJkVC/0S+/5Xc3UKcOQFWsvMyyT48CRctSWSJukyEMIBzmbMN6+dAzVm7+zz0mG+Fdfhyqy51+b0U8+Dc0A0QDRXFeH8tUf8ZMQQtpdPnMXJUX2UzGtErPms4Zn9AghldBwLabPdRblOH3oFipKxcYPIe5A3/1+Ym/JIeTVFjqSOJdlL+YnBFLIjErHI8kzHPXv3z31CRoNoia/1H4UrpMSibkShus8PbU/+ieFYqT1DNLKxGLOoJKh91t/DY22+5WGOqO6QYdPduQ7xs9OG4D+SWGS72oe3FGAZnseSnxSKMZMTZHs6098eRZiZOKHsFGuwdd/PgiLSdr44qTgBDyXvhCBOgsePdEEmX1lGzl3HoKysiWZAzvhYCcdipAQPm7LuYq673dI8rWJ5yu704AzR8SJLTPjiQyEhIlKe0Q6KanRGDpGbEKxDZe9W/Khs/8sI0RqtIDwA9fri7Dj1l5+zU4CXsl6AeEB0j4oPpYyEwMjxA5ng74Jq6/+fP17ycJ1npA2XIflWMwbqMO0EmeZ0psTJyOhr+gNIBXWbZt13W6zV4QakR6DmSN7QWqXTt9FyU2Rh6LRqiTf1ZQrFJjzygQEWETidq0tFAc/3gOpjY0dhufO2xCkF7v+FYlBCHrUHlYkEVVEBOJffUOU4GL3YutmtBU4F5jEP7W1GrFvW77jxHbE+D7o00/aAgvEacyUFCT0Ej+/W5sNOLCd/dtQPgSRHi0gfFyDoRGf5nzJd/4dD/KR4kFe6vr3L2ctQniAqMN/vf4mdhbvc2u4zptuCNdpbqiGaf3nUNijQy70jsP2e31ReKde0nmwHIySimZ+HRuhxSuPZnS5y3N3djXPHnXuas6cNxDBodKWjWVCYqMwY2ZvyOwJ/gV1gSjYd07SObCH9dC7YiHVopVj21gtvr6xWfIHg6DMLEQ9MV8MbDaUf/Q+zA3SlrklnoPtcu/flo+2FhFqmdQ3HCMnSl9ggTjJ5TLMmp8BbaAIe7xbXI+LJz2zTDrxbbSA8GFsh/+z3C/RbBIJkRmRaY5QIncIUQfj1cFL+WKC2VNyEDk1+W4J13lman8MkDhcx2Ix4+p7v0dwi9j1r4rS4kDAdL6z98HWXDS2iDCennY6twKHLokEPJVSzvMeAjU9l6T7MOyBZN/W+3Y1J/RF7xT37Wr2HZOFYX2cMf/HztWjrliaJMWWq5ed4UJyOQ5MjoZOI8f5yss4VnoaUmOhU4GZoriCpamJLyJsEpe5JZ7h/PHbKC0RC8jAYDVmzsvgD7DEvYJCAvi/Rbuzx27j3m1pN6EIoQWED9t+aw+KGsQOLwtZeinzecfDu7sMiEjBC4MXOMZf5G1Ara5e2nCdtBjMsiczS+nchlWIuS12mfUBcqT95d8hva9oDNbYauSJ3e2JxD2lrKYVn+8WuTDMkllp6BMn4t6lwv6OLCSChUYwvZLDMXKCKPfrTuOWzkCSWuTmmOUB2P31RZh0PbuoM9XWoGL1x44xK9c6Y4qzEtd3N7ahpOkupCSTy3nytjIigo911wtRs2WTpHMg7ldysxYX7Dvb7HBy1rwMBAZJe2JLflqv5AiMnuQ8DWInRSykiRCp0ALCR12rycO+O6JkKls0LM9ewk8APMET6TMd5WNbzW34JHcdzFazdOE6j0kfrnP9/EGEH7rIr9kSQbX4GcQm9cPr87IQHix+KBfcacCW47d6bA4Go4UvpAwmsZs8YVA8Jg0RDYqkdO7YbR6+xAQFq3lCpifsarLO38/96nEEWlv5uFEWioOf9FyYnc1sRvkHq2BtE18vaNhwXk51eOxgTOs1kX/MzJswrkObxE0YlSGhPKkaClFooX7XTrRckbbMLXEfVqr1wPaCB+LuE/tI29yS/LLh4/ugdz/7Qr/NxE91e3oTipB2tIDwQTW6Onyet8ExXtj/MfQLc/8Obzv28P5y9vOI0oiQFbbDuum+5nY9Fa7DEpjdEa5TV1WKts/XQ25/X6+bkIWM8aKEbmiQmjewa0/k3nGyBFdvOjsSuwqLpf9iTwE/gWB6xQRhyWxnSUApdzUvnrpvV3N+pkftagZHheGRJ9Igt/dKudUSgqvbT/TI16r+5mvoi8WCURUTg/hXljsWtgsGsCaMffh1LWvCmL9B8iaM2gGpiLmvgV3FJx/DVCMa/RHfZbFYsXers9tx3wFRjso/xLOw94sZczN4SBNTfq/xgWpZhPQkWkD4GJPVzHcsdWZRVWZoTDam9Z4ETxOo0mJF9hIoZWKH88i9E7hYJZpn9Vi4zmzpw3VY3kPhyj/yEp1MTa8wjH7xbx74PWm9w/HUVGdDpo+356LW3qzJVY5cKcOp3Ep+HaBW8ATyAJU0ZXx/aldz7NR+SOgtbR5KRyQNS8PIAc57c/qaDlUFt136NZrPnkHDwf3OEqpvvA1FoLOMr1Ku5KWWg5SiCeO1mnwcuHMUUgufNYc3mmPYSUkZOzExUdlIX3bq0C1UlYkTW1aqdcbcdMlPbEnHsWTq2Qucp7isX0fxjRp3T4v4AVpA+JhNN7bjTvM9fh2tjcKSjGc89s2/T2gvPJ02zzFen78RlW3VPRKuMz47HpMGJ0BqZz//D0SVirj61kAFMv/iN1AofnwC8sjoPhg6QHQkbtWb8f7WHJgtrtlxZuFbX+5zlo195dGBSIgKcuuuZnJqFIaMlr5sbEcNe2oSegeIcr8WuQp7NuXC0OKaMCJjRTkqPv/MMY5ZtBiavj+ubBOpicBLWc4mjNtu7caN+p4LcXsY9t4R98oyfkLCGG4X85MT4ptuFlTjmr3DsVwh492PAzSi2g/xXPFJYRh7X1fwgzsK0dQgNhEJ6Sm0gPAhrGrL0dJTjh3MFdlLoVVq4ckmJo7FqLhh/FpvMWD1tbUwWkRyravCdZJigrB0tvS7aHkndiLqZB6/tsqA4FdeRHjUwxcxbG7L52Yg2t6c6VZZE745WNTtObTpTVi15ZpjMTJjRC+MzoiD1E4dfHBXc/rjAz12YdueDzHr1ZkItooKZi3yYOz7+ACs3ezObDUYUPb+StgM4oQpZOw4hE2e+pO/PysqHXOSp4s/a7Pis9z1aDKK+ygVdjKS8OY7/KSEaTx0AE1npa8ORXpWQ10bDn3vPLGdMGMAYhOkPbElXTd4ZBL6pYtNKKPBjL1b8mA2Uzd50nNoAeEjKlorsb7gW8f42bT56B0ifYJsZ7GHyOfTn0R8oKhGVNZagQ2FW1warsPyHth/pVRddgvm9d85xo3TRyJ12JSf/TNBGhXeWpgNpUI8WO+/cA/nCqq6tZD6ZGc+qhvEw2pKQiiemz4AbtnVvCB2NRUKGeYsZLua0uahdEVAcCDmPJUNhVWE7Nw1hOLSd8e69Tmr1q+FsVScEKoTExG39OVfXEg9njILaRHi363R2IzPcr+SPB9C06cvYl5wVoeq/PwzGMvLJJ0D6TlmkwV7N+fBZBQntgMyY5E1TPoTW9J17H1k6qPpCIsQm4bVFS04eeCmu6dFfBgtIHyAwWLExznrHDv3Y+JHYHzCaHgLjTIAKwYthVoujspPV5zHybJzXhuuYzLqcfO9f4fGKB7yqlOiMOq5tzr0Z5PjQ7FoZppj/Nn3+aio61rozN5zd3HJHgsbpFHizQVZPJHcrbuaMwcgJt57djVj0/ti3CCRh8CcL7Kg9PL1Ln2uxuNH0XTyOL+WBQQg4Y13IA/45cZ5rIraK1mLEKYOcXSWl7oJIxM2aQpCxo3n1zb7SQo7USHe79i+ItRWixPb8KhATH0kzaNPCMnDsY0ZFnamUIr3+dxLZbhu30wjxNVoAeHl2C7z14Wb+AkEkxAUh+fSF3rdmz+b96KBTznG31zfjHvNZd0K15k+PMkt4TpnP/k3RFaJH8YtwSoMefu3PCSmo6YOTcTYTDFvPcvl2HzNkcvRUTfuNWDjIefu04q5mYgOkzaczWSyYM99u5qpWbHIHOp9u5qDnhiPfsEibMgqU2D/ziK01Yu8lo4y3L3DTx/axb34MgISO35CGKoOwStZix19XHbfPoDcWmdCumT5EEtegjoxiY+NZaWoXPe55N2yiWsVXK3gvxilSo45CzKhkvjElrhOdFwwJs1ynjQf2X0d9fZwXkJciRYQXu5k2VmcrRD9BQIUaryavZT/1xuNjh+OiUljHdWkVuesdVST6ny4Tgiem54KqV058C1iLogHd4sciHx1BYLDRVxqZx7UXnwkHQlRYuf7XnUr1u/t+K53U5uRd7a22h/sHh/XF0PsCdpSOr63CHX2Xc2I6EBMmeO9u5rTl89CmE0sGtoUQdjzyeEO50NY2tpE3oO9elHY1OkIHTOu03NIjeiHef0ecYw/z/0adXppu8+yE5PEN9/mJyhM86mTaDx2RNI5ENeprWrBsb3OE9vJc9IQGSPtiS1xvYGD45E+SGxCmU1W7Nni3MghxFVoAeHF7jaX4psbWx3jxQOfRlyQyCXwVk8PeAK9Q8QOZ7WuFuvyv+3QDueesz8M18mGyn6MK5Wy23lQfOvsZ9H62CQkZ43p0ufSqJV4a+EgqFXi73D8WjmOXf3lExnWROjjbbmot3ckHdgnHAsmpUBq+VfKUXDNd3Y1VdoAPPL8cCit4r5WmMNwZv3BX/xz7LVb+fmnMFXZc3L6JiPmuUVdnseMPpMxKDrD2YQxZ32PNmF8GHVCIuJeesUxrv5yHfR3SiSdA+k+lmjLTgjbE23Z6WB6tvQntsT12EbNpNmpjsVgfU0bju65TqeFxKVoAeGl2kw6XrGo/eFhctJ4jIgbCm+nUqh4fwitUlQjulx9DYfvnfjFcJ1vD7s3XEeva8a9Vf8NtUm8QVcPjMfwec6HrK5Iig7CS48MdIzX7b2OO5U/X4Fn+8nbyL0tdqXDgtS807WiE+FTrlBT2cJjqttNeSQNEdHev6sZmZKESaNF11fmyj0FSk7n/uyfaTiwDy0XzvNreWAgEt94G3JV18tishCmFzOeQ5RGzON20x1sKfoeUgsdPRZh06Y7O2q/v5KftBDvwB4kD++6jsZ6nSPsheUnEd+hUil4PkT7xs313Cq+sUOIq9ACwkvf/Nflf4MafR0f9w3pjSdT58JXsP4VSzOec4w3Fe1AcWNJh8J1HhvrnnCd8x/8EeF1InyqMTwAw97oXN7DTxmXFc9zIhiT2Yr3t+RAZ3j4jnNOcS22HRddSFmkEFs8hAX/cpKuK7WXD7S072oOS0Balu/sag6cOQrpESIsyyaT48CBu2iuenjncN3NIlRvdHaEj1/2qqOfQncEqgKx/L4mjIfuHXd5E8aOiHl2EQKSxemWqboKlZ99QjucXiLnQhmvjsaoA8SDplLiE1vS8yJYQvyjzqIcx/cVobpC2jLQxHfRO4YXOnj3GK7UiJ3PQKUWy7MXQyX3/LKYnTEkJouHazCsZCUL1Wgxtf5suE5673AsnCx9uM7FHZ8jNleU5jQpZEh4820EBruuw/Kimanoa++gXVmv45WZfvigVtekx0fb8tD+0Scn98PAvs7dcimwObGKSw/sas7wvV3NKctmIxKiyZxBocWez07AYn4wvtjS3IzyD1axDnp8HDHnUQQPFf1OXKFvaG88lfrEA00Yq1zUhLGj2ElK4utv8ZMVpuXSBTTs2yvpHEjnVZY14eRB54nttMcGOkp/Et8zICMW2cPFJpTFYuNha+0NPQnpDlpAeJmbDbex5aYzZOHFzOcQpY2EL5rf71H0DxMdeusNDTxp9P769/eH64SycJ350ofr3Cm4AM32Q46xceEs9Oo/2KVfQ6VU4M2F2dAGiEXi+cJq3iOiHas6xU5hWnQiSXdw/yg8OrYvpMZ6PdwqFHko6gAl7/fgi7uaCpUSjy4dB7VFnDhV28Jw4nNnWVWb1Yry1R/CXC9OCLWpaYhe6Kww5iqTksZhpD1skTdh5KWcxWtAKuxEhZ2stKv+7hvoipxJucSz6HUmfkLINl8Y1g2+vfkY8V3jp/d3NAVsbtTj0M4COi0k3datn+4ffvghli5d+sDH8vPzsWTJEgwdOhTTp0/HF1980d05ErtmYws+zV3veIie3XcaBkVnwlcp5Aosy16MYJWIn8+rK8Se24ceGq7zxrwshEscrtPaXI+qjz6E0r75XD2kL4Y98kKPfK3YcC1WPC6SZxnWpfpmqdgF33ioCEX266hQDc8BkUtc7aiitIl3m243fW46QsN9d1czNCkGUyfHs9UCH+dWaXDj8CV+Xff9DrTl5vBrRUgoEl5/09HF2dWJkovSn0KcvQljaUs5vrnevSaMXcFOViIeeUwMLBaUf7gK5qbOlbklPY89MB7YXoCWJnFiG98rFGOmSH9iS6TH+kKwMLX2Bp7FN2px5axzE4oQSRcQ69evx7vvvvvAx+rr6/HKK6+gT58++O677/D222/jT3/6E78m3cMWDWtyv0KDQTwopob3w9yU2fB14QFheCXrBcggHoh3Fu/F+Xt5D4TrLJwkfbgOK+F5eeXvEdokmvfVR2sx8tW/79GvOSwtBo+M7sOvLVYb/vzdVew9U4Jdp+/wjynkMl59Kljb9STdru5q7tvq3NUcOqYXUlJ9f1ez/6QhyI4X//5sFXvkZBUqDh9H7dbNjo8lvPYGlOERPduEMXuJownjqfJzOFUukralxE5YtGnp/NpcX4/Sjz6AzR6+RTzDxVN3cOeWOBXTaFWYNS8TCokbSxL3CQnTYMZcZ1GO04dvofyeeJ4gpCs6vS1WWVmJ3/3udzhz5gySk0V4SbtvvvkGKpUK//zP/wylUon+/fujpKQEH330EZ56yvVH+FK5c/sWbhab0dZm5DGE7nC1qRA36+9CBQ0ClUGYEzkPpWUt8MadkLpGA5qb9Y5E218SiFhMCpuGU1Un+Xj9lU0wWQcjQKVE/6QwDO6vwV17mUypFO/fhvDbrdArg2BQyhD78tswGuQwGkRYS0+ZPSwRt+7U43ZFM99J/PCby2jv+rFgfDJigtT8iFpKR/fceGBXc7Qb8lDcZcKLM1H17ztRZQ2DSa7BwUNlGG4TOzNR8xYgMKPnTwgTg+PxfPqT+CJfJGxvKNyMPiFJSAqWrmmfTKFAwmtvouSf/g8szU1ozslF8YbvEPHo4/B3rLBAd2LOWRgg+x/7vm4vudqVfg/njt12jGfOG4jgUGlPbIn79R0QhWHjeuPSqbtgEUz7tuTiqWf7QxvYtRNSq0IGs7wN1uY2WN30bOQKbPPLKldDHRzq7ql4FZmtk4FwBw8exObNm/HrX/8aK1euRGlpKdauFR1WX331VYSGhuLf//3fHb//5MmT/FTixIkTiI7u/K6kxWJFU1PHmon1hK/+8D5qTGmAvQMsIeThtIEqPL9ilNc+mLDd2NBQLX+/Ye87HdVSXY+vVp2EXiGSifvU52Bogh59/sffQiZhTs7a3I04XnqGX8cGRuMfxv61oxyyVFrz8lDwnytxMXEOTPIAzJ4SiwFTXZc87m1u5FU9kHPgCUZPSvbr0KWufp/7CnZ6vmXdFZTeaeDjeGUppofsg1zmOa9RKZltShxono0acwzGDwGGPzHDr1+boaHaDp9MdnrZyfIa2K+HqaioQFqas2QYExsr4nPLy8u7tICQy2WIiHBfDXm9PhTwwURQQlxKBjy1dAR69/X+hH72BtoZ7P1pwVPp2LD5NmwyBe5EZGPU/ExERomkRam8MW4xSveXobjhLqraavD1jU34m3ErJO3+HTJ6OLZmPAl9m3jPPHC0AinDGhGdLKrA+BNWLvPAjgKPWjz0S4vG7HlZ/Oeqv+vs97kvmTveis/vtkFvC0SFOQnXdEMwJPAy/A3bPj/TOg7VZlFq/OQVK/qmX8eAMe7d9Aj1ktemSzP79Ho91Or2gAohIEDsRhoMIsShs9ibb1OT+xoUDRwUiLLThTDLxd+rNiYABrX0Cwo5LAiyWBBjsqBFEY46pZfW1pexZlgy0behCz9XLTITDPJG3qFZLfnCzobQ0gaoW0XcuyUwAOGZgyTdZb5fQ4sRzW0mxEVq3XAvnNgD6oCMGETEaFFf/2CpXW/Snd2fmOwBGH2zHmeuibDC7VuuIyg6VPLymKyk87+efhc6sx6n717EpqC9mN5nomRfn5XxrbUvHhijXIOv/nwIz//dY1AGPPizwZcZjWZ889kFmIwiDyQ2MQShYZouf3+xpmAmk6VblXMCg9UYMzkFjY3+3fDPE3Z53clSX4bWgx9gYnAEDjTPgQ1yXNMPRUKfCCSFde79m+1NOF+b8DqF1REorndubrB7seW7IjwfFYWgqCi/fG2G9uQJxM/RaDQwGu1JhXbtC4dAe63wruhq3KcrjJo/H3XyLajZKqqbKPRh6Pt//gnKsHBJ52GpKUHb1n8BLCKWVjP9dagGjIO3YfG8bMeWPWi689+1K2p3bEPtMVHnXhESgj6/+meoIqRN3vbke+kJc3AF9sbdlb/LsMeGo8aUzxt0sbj377/NwcKlwyQtZRuhjsSSjGfx8TVR/e7bwu3oHdQLKWEi+b4nXc+tRM7FMn6tUMigNLXBINeiHmE48NEezHjTP/Ih2EP+wZ2FqK8RD+qRMUGYt2gIf9DyhO9zX/k+ddf3uTezmQxo2/1nwGxAvKoCw3rV4uI91txShqN3U/HMzBGdCkH1tJ9BnT0hPLOWVc4TK58QtQ7NRi3aLFrsWnsMT7zxOBTKrn3P+str06U/2eLj41FVVfXAx9rHcXFeumPOdhfnL0DYEFHb39LYiPKPP5S8wogiui8CJjhL5uqPruE7CUQabfl5D1TXiX/1DbcuHojnYTvFrOtr+6lDTWULTuwvknweQ2OyMb33JH5tsVnwSc66HzVhdLW6mlYc2X3dMZ76aDoWPpkGmU28T15vDEbebpGf4evyLpfjRq74uadSK3g/lK4uHghx5cJWf/xzWOtL+VgekYRRz85Fn/6RD1TT84dTGVbUgOUmtRfFYY325i8dAY1cFCApbwnDuU3O3j5EggXEqFGjcOHCBVjue7g+ffo0UlJSEOWG4yBXYSEqaf/jrx3lGHUF+c6HSQmp0idDmTZBDMwG6Pe/x3cUSM8yN9Sj/KMPRMCkvbpOUGaWu6dFPFB7Az1Wbaz9YfJ6jrQVwpgF/R9Dv7C+ziaMeQ82YXQlFqazd3MezCbx+dMHxSFzaALSJg3B8PsK9Z242ISam75de57tah6/b9E47bF0hEd2/fSdEFcxFRyB+YaoZAiVBppZb0OuFqVdQ+ynDqyfz5nDor+SLy+kWCO9pgaxWGAN9lijvZCYGMyYGQ8ZxPvYpVsa3D570c2z9aMFBCvV2tLSgv/5P/8nioqKsGnTJqxZswavv/46vJ06PAy93nqLZXU7mkW1XL0i+Q6nZuKLkEf04mNrfRn0x9ZQR8kexE6a2OKBlaZkArOyEfn4E+6eFvFgUbHBmDw71TE+suc66qpbpW/CmHVfE8baQuwtOezyr8Pee9jfr77WGa4z6b6/+9jF05GoErXmWR7Zng2XYdRJW2ZYKga9CXs25znKWQ4akYT+A1l4CCHuxUKgDSfXOcaaSS9DEZ7o7AmyINORWH/l3D3cKqyBr7p67h5vpMewxnqswV77hk+f4UMwPLU9DF+Gg4dr0FQh/QaQXy4g2CnD6tWrUVxcjIULF+K9997j5V7ZtS8ITEtH9FPPOMYVn3wEU614IUpFpgyAdtbbfAeBMRed4jsLpGfUbP4OuuuF/FoZEYH4Fa+5LWmaeI+Bg+P5L4btzLPj8vaEWqlEaMLxctYiRxPGHbf24Hp9kaThOnK5HLOXT0egVSygmuQhOPjxPp/Ne2jvwcJ2NcdN7+fuaRECm7ENuv0rHfmTqszpUA0Y+8DviUsMxfgZ/R3jQ98XoLHefeXze0rFvUacvu+EhZ++/KC4wciFM5EUIjY9DNYA7N1wBmbTg7m9ROjWk9Af/vAHRw+IdoMHD8aGDRtw7do13jNiyZIl8CURsx9B0FBR4sva2oryD1bCZu56k6CukIcnQDP5FceY7SxYapxNgohrtFy+hPrd34sBa5T1+ltQhlCjGdIxk2YNQFSMOAFgO/SHd1+X/LQwIzINjyaLuuY22PBp7pdoNIjTNKnCdbThwZg9Nw1yq3ifLG4LxZUtx+FLrpy9h9s/3NWkLs/EE/IeDn8CW5NY5MtjUhAwbtFDfy/LA2g/MTMa2sMSfaebvK7NiL1bnT1ZWEM91ljvh+RyBWa9MBlBCnGqWq0Lw8kNvrfp4Qr0DteFMKL4ZSugihbfaPriW6j+5mvJ56HqPwaqLHvDE4sZun0rYTN4bwlNT2OqrkbFpx87xjFPPQPtAGdoBiG/RKlSYDbbkVeLHfmivCrkXiqXfB6PpszEwAjx2m02tuCz3C9hsVokDddJGDwAo9KdRf9O5xlQkXcLvqDsbgNOH3b+XWY88eNdTULcwXRtL8y3L4hBQBC0M9+CTKH6+SIQkfYiEFUtOL7/JnwBWzTs31aA1mZxkpDYOwyjJ/10M0VtRDhmPZbMy+czufeCceOYfxSB6AxaQHSBIjAICW++DZlS/EBsOLgfzefPSj6PgLHP8x0FxtZcDf2RTygfwgWsJhPKPlwFa5vYgQgeNgLhs+a4e1rEC7EdebYz3+7EgSJUlTdLOge5TM5DmcIDwvj4RsMt7CgW5YilDNcZ/tQU9NGI0w+rXIm9W/JhaPLuTY+2ViP2b8131MAfPq4P+vb33oIhxHdYKm7AcOYbx1g79VXIQ2J+uQjEgkxH6en8K+UodEMRCFe7cLIE927X82ttkAoz52f8YjPFhKwMjM5yPk8dOdmE+ru+XQSis2gB0UWavsmIWbTYMa5c8ymMFRWSzoHtJGhnvs13Fhjz7YswXdst6Rx8UfU3X8FwW8RJqmJiEffKckm7+RLfwnbmB41M4tdsx57lQ7AdfCmFqIN5UjVbTDB7Sw7hWk2e5OE6M1fMQIhVLKBa5cHYu/oArFarF+9q5qO1xb6r2ScMoybdV3aKEDex6pqgO7CKVQHhY/WQx6DsO7TDRSAmzXGeth91QxEIV7pbXIfzx0v4NfsxPmteJoKCO9brYsjj05AcIfIhTDY19n57GSa9bxaB6ApaQHRD2OSpCBkjmrlZ9XqUvf8erF3suN1V8pBoaKe96hgbzmyEueKGpHPwJU1nT6Px0EF+zU6Y2EmTohtNEAlhxk3rh7jEEH7Ndu4P7iiU/LSwf3gy5vd/1DH+Im8DanV1nfoc5XcbuxWuExAciDlPD4bCKhZQ94xhuLDRO4tAnD9RgtKSBn4dGKTmDya/tKtJSE+zWa3QH/oItlax465ISId61FOd+hwDBz1YBGLP5lzeHNPbtDQbsH97gWM8enIKkvp2vAkwKwIxffF0hKpa+LjOEIKjX1E+RDtaQHQD25WOW/oS1AmiHJqx9B6qvnSWSpOKss9QqIfOFQObFfoDq/gOBOkcQ1kZKj//zDGOeWEJNH1ELX1CuoPt0M+an8l37JnbRbW4fFb64/AZvSdjSLToYdJm1uGTnPUw2ZObOxKuwxpNdTdcJyatD8YPEaemzIVbNty7KCqdeYs7t+pw4cR9u5rzMxAYrHb3tAiB8dJ2WO7l8GuZNhSaGW9CJld0rQhErPg+bajT8UaR3hQizRrisfcrfZvYrGAN84aN7d3pzxMQHIzZ8wdCAfE+eb0yFHn7j7l8vt6IFhDdJNdokPDmO5AFiCOxphPH0Hj8qOTzUI9cyHcaGLbzoD/4Id+JIB3DTo7KP3gPNvsJUui4CQibNMXd0yI+hO3Usx37dmcO30LZHbGDLeWmx5KMZxGtEd1nS5rvYtONHZKH62Q/Pg79Q0Qok02mwP5dt9BWK0IFPF1Lkx4Htuc/sKuZ2Kfju5qE9BTzvRwYL2wRA9Y3asabkAeGd70IxIJMqAPsRSDyq5F7qQze4syRYlTcExupwaEBvGRrV0ORYwb0x4ThzuTz4+eNqC7yjSIQ3UELCBcISExE3IsvO8ZV69fCcPeOpHNgOwx8p0EryoxaSnNhvLhV0jl4K7arUrnucxjLxJujOjEJsUtepLwH4nJsx37E+D78mm3m7duWz3f2pRSo0mLFoKVQysVpyNHSk7hQeVnycJ3pK2Yj3CZ+wOsUgdjz6RGPz4dgu5p7t+ZDrxO7kX27uKtJiKtZ7RuHrGAzox6xEMrEDBcXgbgpeRGIrii+XsNztRj2PsUWQqxhXndkzZ6M1BjxfmWBEvu25sPY6r25Ia5ACwgXCR0zDmFTpvFrG6vi88FKWHTSNmJhOw1sEcHP1NlR5sVtfEeC/LzGY0fQfOokv5YFaJD45tuQ20+UCHG1kROTHXG4bS1GvrPfXptcKr1DkvBM6jzHeH3Bt6hsFbXiH5aE2BPhOsoANR55YSRUVnHqV2EJw+l1B+DJWP5HZal4iAgJDcD0buxqEuIqNqsZ+v2rYNOLh3tF78FQD7OHNXdTv/QYDL6/CMTmXOh10haB6IymBh0O7nTmPbAGeaxRnitMeWEmItTiHjeagnFwvfcWgXAFWkC4UMzzixBgj5k3VVaico30ZVXZjoN6ZHvClI3vSFhbOpco6U/0d0pQfV/eStxLLztyWgjpCWxHbOY850M429k/f1z6RpATEsdgVNxwfm2wGLE6Zx2MlgdPQ1qaDLx+ek+F60T0TcDkMc48iqulShSfvAZPdKuwGlfPlfJruULGe3x0d1eTEFcwnP0WlkpRPEUWFAnttNcgs1dcc4Wx9xeBaDLg4I4Cj8yHMJtZwnceb4TXXgGPNchzFZVWizlPDYZKJhZQxXVhuLbLO4tAuAItIFxIrlIj8c13ILdX7Wm5cB4NB/ZLPg/10Mf4DgTDdiRYOTe2Q0EeZGlrRfn7zk7iYdNmIHT0WHdPi/gBEQaU0X5YiAsn7/DEXCmxnfNFA59EQlAcH5e1VuDrws2OBwMRrpPn2G3sqXCdtBkjkBEpeq7YZHIcOlSKpgpRJtZTNNbrcOh7Z6L3hOn9EZtAXemJ+5luX4Dpqr18u1whmsVpgl1eBEKEAYmwx5Kbdbh85i48zYn9RaipFBWTWEM81hjP1SeEEX37YPI4ZxGI09dsqMhzbrL4E1pAuJgqJgbxy5xlVas3fg3dzSJJ58B2HvgORLDY2bNWFvHyrsSJPSRVfPYJTNUibCMgOQUxzz7v7mkRP8J28sdMcXZDZYm5LEFXSgEKNVZkL4FaIU5DzlRcwMnys5KH60xaNhtRMpFEbVBosefzE7CYu9ct21XMJou9jKWYz4CMGGS5cFeTkK6yNlVBf3j1A81lFXEDeuRrBYeyIhAZDyQpt+dFeYLrOZXIu1zOr1kjPNYQjzXG6wlpk8chM0mEMlmhwN6dxdA3ekcRCFeiBUQPCB46DBFz7PXWLRaUf7gKlhaxKpYK24HgTebs5dtM1/bAVGxvaU/QsG8PWi9d5NfywCAkvvEW5CoKRyDSGjqmN/oOEAt9lpjLmsyxnX8pxQfFYXG6s078N9e34uzl685wHbkMs1yQhPhzFEoFHnlxHNQWsYCqsYXh2BrPqLd+fH8RaqtEsmR4pBZTHnH9riYhnWUzG6HbtxIwilxLZb9RUGXN7NGv2adf5ANFIHZvzpV80+NhWKO7I3uuO8aTZqfyhng9acJzsxGtERssrZZA7FvPikB4xqaHVGgB0UOiFz4FbWoavzbX1aF89UeSl1VVxPZDwNhFjjHbqWA7Fv5OV3QD1d85T2Til78KVXSMW+dE/BN7EJ0xN93RjK2yrBmnD0lfHnBk/DBMShJNMeVtapzb5wxPmODCJMSfE5oQg2lTEyCziffJ/GoNrh9076ZH4bUK5F+pcOxqzl6Y1WO7moR0huHUl7DW2osbhMVBM3mZJAvbHxaB2LT+kuRFIO5nMlr4xgtreMewBnjtTfB6klKtxuznRiJAJopA3GsKw4Utogmtv6AFRA9hXYzjX3sTihCReNSWcxV13/9yvXVXU2XNgLLfaDEw6fiOBdu58Ffm5iZ+IsROhpiIRx5D8JCh7p4W8WMBGhWPL2aJuczV86W4WVAt+TyeSn0CfQJ7oXfRcMgtSreE6/SbMBiDEuwVXmQyHD1di/o7IixBarXVrTi6RySmMpPnpCIqxhn7TIi7mG6chCn/sBgoVNDOfAcytdYtRSBYU0wWzuSuUGTW4K6+VuRQscZ3rAGeVMISEjBtKjtBFguoC9eVuHvJM4tA9ARaQPQgVUQEEl5zllWt3boZbfl5ks6B7UhoJr8CWZhYkbMdC8PJL+GP2AlQxeqPYK6v52NtWjo/KSLE3WITQvhOf7vDuwrRUCd+KEpFJVdiSM1UaNvC+NigaYFsUI3k4Trjls5AnFzEE5vkAdi9/jzMBmk3PYwGMy9Xyaq6MBlD4pE+qOd3NQn5JZb6UuiPrXGMNRNfhCKqt/RFIOZnON4bWJ+YkpvSFz5gOQ838kRUhUotGt+xBnhSShkzAkOSRRiZDXIc2FeKlpoa+ANaQPSwwIxMRM1bIAY2G8o/+gDmBvEAKxW2M6Gd9TZgT5Q0FRyG6foJ+Ju6HdvQliv6YihCQ/niTqaQ9s2GkJ+SNSyR7/gzLGF372Z2LG+RNFynOEe8N1nlFtwZcAFbS77HrUZpS8zKFQrMWTYZGotYQDXIQnHok32S72o21ImHgujYYEycKd2uJiE/xWbSQ8/yHuxRBMq0SVClT3LLXBJ7h2P89H6O8YHtBWhulC4fgjW0Y/lJ7VjDO9b4zh3GPD0b8UFi00Nn1WLfVyc9pghET6IFhAQiH38CgVnZ/NrCQmg++gA2ewiNVBSRvaGZ9KJjrD/+OSx1IknSH7Tm5qB2u70zt0zGFw/KcNfVsyeku9huHkvQDY8KdITQHNtX5JZwnYgRZhgCW2C1WfFJznq0GKXtuBoUHY5Zj6RAZhPvk0VNwcj9/rQkXzv3YhmK8kUImTpAwfs9SL2rScjDFrbs5MHaUMbH8she0Exc4tY5sbLOaVmiDLRBb+Zln6UoAmHQm3jeA2tsx7BGd6zng7solArMWjQeWrnYdKhoDcOZb/fC19ECQgIyuRwJK16HMiKSj3XXC1Gz+TvJ56FKmwhV+mQxMBuh3/8e39Hwdab6elSs/lCUjWBxkvMXInCgsxwdIZ6CJeiy8oNKlXhrLrhagYJrIolXynCd56bNQP8wUWK2wdCINXlf8cWElHqNGIgRyc7xycvNqLnRs7Xnq8qbcOLAzQd2NcMipIktJ+TnmPIPwVxkX0SrNCLvQRng9k2P+c8PQai9CERVWTNOHbzV4wupgzsKHacdrMEda3TnbsHR0ZgxOwkyiPfJK7cDUXzGtytf0gJCIiyZOuGNt1hHFj6u3/09Wi5fknweAROWQG6Pl7Q2lEN/dI1HdpR0FdYkjpfRbRY1mwOzByPysbnunhYhPykyJgiT54gKbsyxPTdQW9UiabiOQq7AsuwXEKISpRDz665jz23pK4yMeG4qktQiNMAsV2P3xiswtoq5uhprmMfCxtorygwelYR+6VSdjbifpfr2A7mLminLIA/3jJwcbaAajz6d7SgCce1CzxaBuHz2Hk/cZlhjO5b3wBrdeYLeQwdhRJqzae+hw7VoLHdPEQgpeMZd9xPa/gMQ8/SzjnHFpx/DVC1ttRWZUi36Q6jErpr55mm+s+GrajZ9C32RCM1QRkYhYcVr/ESIEE+Wnh2HjCEJ/JqdDOzZksdPClwt99JPh+uEB4ThlawXIIN4MNhZvA8Fdc4wJynI5XLMXjEdQVaxgGqWh2D/6v09tKtZgOYmUZIxPikUY6e6f1eTEJuhFbr9KwGr+P5XZc+Cqr2yogcVgbg/T4h1be+JIhBldxtw5rDzhIM1tmMN7jzJiAXT0SvU3hTTFoC9G87DbPTNypf0JCWx8JmzETxiJL+2trWh7MNVsJrsZQslIg+Lh2bqcseY7WxYqt1Thq0ntVy6gPq9u8VAoeAnQIrgnm0uQ4irTJw1gJ8IMI11Ohzedd2lp4U8XGf/z4frpEcOwOMps/m1DTZ8lvslD2mSkiY0GLPnDYTc/gBVogvF5U3HXPo1Lp2+i5KbdeLraVWYNd9zdjWJn+c9HF4NW7NY5MtZb6cxz8ETZQ5NQGpmrLM3w+Y8mFxYBKKt1Yh9W/PbI5F5QzvW2M7TyOUKzFo8BUEKsYCq0YfixAbfzIegd0g3xAzGvbQMqlh74tHtYlR/85Xk81CljIQqWzwYsJ0NtsPBdjp8hbG6ChWfrnaMY555Htp+zjKZhHg60bgsk58MMCwsIOeiSKCUMlxnTvI0ZEam8+sWUys+zVkPi8QdV+Oz+2NMhqgix5wpMKI8x7n46Y6yOw04e9S5gTJz3kAEh7o3tpwQxnR1F8wl9lDngCAePSBTKD26CETEfUUgju91TREI9j61f1s+b1zHsEZ2rKGdp9KEhWH24ymQQ7xP5pWG4PqRU/A1tIBwA0VgIN8Nl6lUfNx46CCazkpTYeR+AWOehTxWPFTbmmugO/QxbBInSvYEq8mI8vdXwqoTsdLBI0chfMZMd0+LkE5jJwLTHhvoGJ88cBOVZU0uDdeJ+4VwHblMjpcyn0dEgKhadrPxNrbdsp/sSWjowklIDhR/d6tciX3bCqBv6l5uCHsgeWBXc0Jf9E7xvF1N4n/M5YUwnP3WMdZOex3yYNa0zHPxXgwL7ysCca2CF4LorvPHb6O0pIFfswZ2rJEda2jnyeIzB2LsIOccj55uRX3JHfgSWkC4iaZPX8S+4CzBVvn5ZzCUuWZ3saPYToZ25luQBYgwCcudyzBekf7BwNWqv/4Shjsl/FoVF8dPfKRuhkWIq/RLj8aQUb0cO3GsfCE7Qeiqy2fuD9dRYvb8jF8M1wlWB2F59mIoZOI0ZP+dI7hanQupzXh1FkKtoiBCqzwYez8+CKu1a5se7F7uY7uarWJXs1dyOEZO6OvS+RLSFVZdE/QH3mfdT/lYPewJKPsMhjeIjA7iJxHtju7tXhGIO7fqcOGkePBmP8ZZAzvWyM4bDHp0ClIi7U0xbSrs+e4qTPaNTV9ACwg3Cp04GaHjJ/Brm8GA8g/eg9UgdgWlwnY0NNNfZ9+afGw89y3f+fBWTadOovHIYX7NTngS33gHCi2VYSTebczUFJ7Yy7Q0GXBgR0GX8iFYuM6ZI8VdSkJMCeuLhQMed4y/yP8GNTppu8+qtRrMeXYolFbx0F9qCsP5DeL7vbPOHbvN7wcTFKzm98LTdzWJ77NZrdAf/AC2NvHaVCRmQD1iIbwJ6w3BciIYCysCsblrRSBamvQ4sD3fMR4zJYU3sPMWcrkc0xfPQJhKLKDqjSE48qXri0C4Cy0g3IjtiscufhHqJLG7aCwrQ+W6zyUvq6rsPQjq4U+Igc3Kdz6sbdImSrqCobQUlWvXOMbs3gb0FiVrCfFm7ISAJfayBF/mzs06nvjbrXCdLiQhTu01AUNjBvFrnVmH1TnrYLJIWwQiekAvjB8a4hhfvA3cPe98yOiIkpu1uHjq/l3NTK/Z1SS+zXhxCyylefxapg3jG3zeWDlwwswBiI6zF4Go1/HKTJ15tmEN6cRpq1h49B0QhaFjvO/nuTooiJ+aKCD+HjeqQ5G79yh8gfe9Kn2MPCAAiW++DVmA2AVsZjvox45IPg/18AVQJGXya7bzwXdAuhga4A5WvR7lH6yEzV4uLXTCJIRNnOTuaRHiMiyxlyX4tmOJv+1xwZ0N1+lqEiLb9FiS8TRitCIW+25zKb4t2g6pZT02FqmhYlfPJlNg/57baK3p2L1gDagObC9wjFn+R0LvsB6bKyEdZb57DcaL9u8nmQyaGW9CHug9O+4/LAIx574iELcKa3iPiI46fegWKstEuGJImAYz5qZ7bShyzIB+mDjSuUFx4qIJ1UWuKQLhTrSA8ADq+ATEv/SKY1z95Tro7TH8UmE7HJppr0Nmf7OylOXDeGEzvAHb1WAnD8ZykUOi7tX7gfwSQnwFS/Btj9Nnm3n7tuU5KpP8nHPHHwzX6U4SolapxYrspVDJRTWY46Wnca5C+qaYU5fPQoRNnJTqFYHY8+lRWC2WX97V3JoHg17sBianRmHIaHECTIg7WVtqoT/4IS+YzKhHPQ1lonPDwBuFhmsx/XHn34F1qe5IEQhWce7qebHYYA3q2EIkQCNOX71V5sxJSIsTf3cLlNi7tQCG5p5pECoVWkB4iJDRYxA+fYaze/L7K2Fpk7asqjwwjO94QCZeFsZL22G+exWervHIITSfEVWs5BoNP9FhJzuE+CJWKYgl/DK6VhNfRLSXY/3JcJ2Trg3X6RWSiGfTnHHZXxZ+h4rWSkhJGaDGI4vHQGUVeWOV1jCcWnvgZ/8Me4Cpum9Xkz3ceOuuJvEdNlZK/cD7sBnEA6WizxCohzwKX5CSFu1YpHekCARrQHd4lzMPc8KMAYiJd4YserPJi2YhMkC8/zSZgnHwy64XgfAEtIDwINHPPI+A5BR+bWJ9DD77RPp8iIR0BIx+2jHWH/yI74x4Kj3ro/H1l45x3MvLoY6Ld+ucCOlJ7OSAJfyykwSm7E4jzh4r7lC4zhgXhuuMTxyFsfGiKabRYsTH19ZCb5a2CER4nzhMGRctjmMAXC1X4dbxqz+5q9keQqFw7Gp6Zk194l8MZzbCWil6JsiCo6Cd+ipk9o08X8CSn+N73VcEYvvDi0CYTaIBndEgThIHZMYia5hIxvYFKo0Gs58eCpVMnBrfrg/DlZ2H4K185xXqA+SsahDbPQ8M4uPWSxfRsG+P5PNQDX4Uyr7D+DXbEeFN5iydr6DQ0yytrShjeQ9mMbfwGbMQMnKUu6dFSI9jJwjsJKF98/zSqbsoKar9+XAdloTo4nCd59IXIDFILNgr2qrwdeEmyTc9UqcNR2aMXgxkchw6Wo6mctG59/5dTZbEeX+Cp6/sahLvZrp1DqZr9p/zclZa/W3INCL52OeKQATai0DcqnMUMbjfsX1FvAEdEx4ViKmPpPncCWFE716YMl4sppizuTKU54ikeW9DCwgPo4qKRvyKVx3j6u82Qld0Q9I5sG9YzdQVkIVE87G16hYMZzbAk7CHlIrPVsNcU8PHmn79EPPMc+6eFiGSYScJ9zeAY6Vd2YnDT4br9EASolqhxopBS6FRiJDBc5WXcLzsDKQ28eVZiJaJfAijXIPdX5yCxSx2MU0mCy8jaTKKcWpWrKPEJCHuZG2shP7Ip45xwLhFUMT+dFNHbxYcEoBZ8zIeKKNcWlLvGN/fdI41opuzIJM3pvNFqZPGIKuXCFezQoF9u0qgq+9YEQifXkC0tLTgd7/7HSZOnIjRo0fjV7/6FWprPTcExhMFDx6KyMfmioHFgvIPV8Hc3L3us50lCwiCduY7fEeEMeXs4zslnqJ+zy60XhaJm/KgICS8/jZkSgpHIP6FxRanpIqKSOykgcUXs5OH+8N1ejoJMS4wBosznnGMv72+FXea7kFKCqUCj7w0AQEW0aSp1haGo5/u5dfH9xahzr6rGREdiClzfG9Xk3gfm9kI3f73AJN4zSr7j4Eqczp8Wa/kCIyaeH8RiHy0thh4o7lje5wbpex7NDJGRGL4qvHPzUKsVmx6tFoCse/Lo7Baf74IhM8vIP7qr/4KR44cwb/+679i/fr10Ol0ePHFF2G0l9ckHRM1fyG0aen82lxfj4qPP5S8rKoiJhkB419wjPVHPoG1sftt6bur7XohajZ96xgnrHgdqijxEEWIP2EPwtMeH4jQcFEGuqq8mccX3x+uM1GCcJ3hsYMxpZdoimm2WfDhlS/QamyDlELiozB9ei/I7N17C+oCsW/dKb6z6Q+7msS7GE6ug7VW9HKRh8VDM+llv1jYsiIQvVMinEUgtuTzjQ+zWXzfstPBtOw4+DqlSo1Zz41BgFzkjZU2h+HMt/vgTWQ2Fwas5ufnY8GCBfj4448xefJk/rHW1lZMnToV//AP/4CFCzvfTZHtptXVSVuN6GH1jCMiglBf3+p4kUvB3NCAkn/+P7A0idOHqHkL+C8psZeH/tCHMBfZqxxF9oZ60Owufz65Qo6gQDVa24ywWjp/Ly2tOpR+vgWWVvFwEjZ2CCIniUROf9Pde+kyMjkUiQN5V3Nv5q7vc1eormjG5rWXYLE8+HaemhmLGU9IU2nIbDXjPy6+j5Im8VA0JD4TQ6MGwfIzFaJ6Qt2OYtypjf3Rx9l9YB1y/fF1WdlWjUZDE1LD+7ntIdVmbIP5zlVA4saDnvi+WdlwB0W3jomCrXIlAobPgyy4c00dXUEhkyMjMg0h6mBJX5u6NiM2fnYBrc0PbiyzxnMLlw7jn1dKtbp6FDXcgtVeQldKjYUVKD7N7j/7vrRi7qwgpIwZ67afQZGRQTxnRfIFxK5du/DXf/3XuHTpEgIDAx0ff/rpp5Gamorf//73XVpANDWJIz53YTczNFTL58HmI6XW/HyU/L8/iPM+mQx9/vbvEJydLekcbCY9mr79R1jrRZ8Fd2G3oK4QMNqjudQhQORAUZqSuJdMG4LQp/8Z8hDvXUS48/vcFXIulj1w8sDCdZ5dNgJqtXShfbW6OvzfU/+JNrMb37OtNow+MwRtCmfX2syhcZgxVzTK9LfX5a2GEvz7+ff5Au/xfjMxb8AjcEe4TvOmf4GlRtr+Rp6oQq3Aql4RMHpId+lobRT+YexfIUjlfGaT4rVZfrcRm9ZecpSgVgco8fzykQiL1EJK1W21+P9Ov+vW96yYewMQVyYiTjTmBrz2TwvbC8tJjv17dnQB4dKfLLGxYtenvLwc/fv359cWiwUVFRWI6mKICStZyFa4noDdWKlFjB8JLHkBJWvX8yfo8o8/wJD//BMCJA3ZCULwM79G6ZrfwGZ0JmlKraXUuXiQq4Dw/rR48BQ2XTPvXp649J8hU3h3Loo7vs9dYeL0AaitasXV8/d499fnXxmFmDhpKw2x9+q/HLcMfzy2CjY37OZxchmuDslB1uUwGJShCNFXQ11yAhERo/zuddlsaMHq4+v44oHZeWs/BvdKx7AEaTehqnd+QYsHFrYkk2F9fJjHLB6YGl0tviz8Fn838Y0un0515bXJ3iuantDzSnFs833BoqFI7i8Kt0jFaDHhD+fWuXfDA0DfhqsIag1CbZCokhcSooFC4fmhli49gWB5DvPnz+eLhX//939HWFgY/vu//xuff/45xowZg08/dVYb6Ch/P4FgWO7D3Xf/Ey1Xr/CxNjUVyX//W8mThi0N5TCXFThqrneFTC6DVqOGTm+ErROhDW3F91D+7X77J5Eh8bk50Pb2734PXb2XLmUD9Jd2wNosqmEFDJmDwAmL4Y3c/X3uCmw373ZRLaKigyTfybvfneZ7qDJWQa83/myTu55kKq6AbeMlxLXcg8JmhuGFuRg2+1n4y+vSarPivYufILfWeSrFsJ3m/zX2bxCpFXHoPc1QcAxtBz8WA6Ua2rHPunWTwV3vm+xRa039ZVzSlfNxkjocU/pNd19IGWzYWrQbrSYRDvxk6uOYkzJN8vfMe7freV5SXKKztKlU1ud9h6P3TvHr2MBozOo7RfI5qG6VInTNdv5YVRuYhIxX5iJh7ES3/Qxy2wmEWq3Ge++9h1//+tc8B0KlUuGJJ57AtGnTIO/GittT4pHZP6i75hK37FXo//l3MNfVQnfjBiq++QYxzz4v7SSC46BI614MMYttDI0IgqUTMZOmulpUvu9Mmo5+8mkEz3wc/q4r97InaKL6om3rvwJWMwxX9kAWMwCqft672+vO73NX6NNPxFK78+/QJ6QXhkSkuzefJAE4X1ULxY7bfCjbuBN3+mUiMTnTL16Xu4oPOBYPIapg3j08v+46f2D88Mpa/M3wN6C0V9nrKZa6u2g78rljrJn4EpRpItne3943D987gUtlYvGgUWjw6vDXERPo3pDPcHUE3r/yKV9MbCnahT7BvZEa0U/S98z4XqKxpdTvE2crLjoWDyq5EiuylyIpWNryzmaW5/rdelhsNp4BkTl7FNJmz/KaPDyXn6Ox0KXvvvsOZ86cwenTp3neAwth6tOnj6u/lF9RBAcj4Y232ZKfj+v37kbLpQvwdaxJXPkHq2BtETWTgwYPQcScR909LXIfRUzKD6p1fcrrmxPibsPnvYzqgeKhQG2y4d6q/4ZeJ3pj+LLCuiLsLBZlbGWQ4eWsRViW9QKiNOLU4XbTHWwu2tmjc7AZddDvWwlYRKKsauAUqNy8eHAXdr833djhGC/NfNbtiwcmKyodjyRPd5xYfZa7Hk1G3//+KG+txFcF3znGz6U/KfniwcZK9H/0vqNITmBmFqLnzYc3kbu6B8SSJUtQUFCA8PBwBAcH4969e8jLy8OECf75xuFKWtYs7blFjnHFp6thrK6CL6v+9hvob93k18roaMQvexUyD4ofJYIqYxqU/ceKgUnH65uzxElC3ImdfA9/87doDBeN7sLr9Dj/wR/hyxoMjfgs90tHDsrjKbMxMDIVgapAvsuqlCkcO+IXq672XPW+o585yn7Lo/ogYLx3hjZ2Fzvx+SSH7TKLGv/Te0/C0Bhpc1B+zmMps5AeMYBfNxqb8VnuV3wx4av0ZgNWX1sLo1VUAxuXMArjEqSv5FizZRN018UJoTIiAvGvvu51zzYunS1bMLA3DtYD4saNG7h27RrefPNNjB07FuPGjXPll/Jb4dNmIHjkaH5t1elQ/v5KWE2++aDWfOEcGvbbd9GUSiS+8TY/iSGeh3cvn/wy5OFiF4fVN2d1zglxN21QKBLffBsmpYg1j829hws7nGE1vsRitfDFQ7NJnNhmRqZjTrIzrr1PaC88nTbPMV6fv5GXeHU1U94BmG+dFQOVFtpZ70CmVMPfsAfxL/K+Rp1edFzuF9YXC/o/Bk8il8n5CVUYK2sI4Hp9Eb4v9q5+BB3Fnk+/LtyEijax8cpOHZ5Nk7Y0PtNy5TLqd9lPABUKJLz+FpQh0ueAdJfLlzv/8R//wZOnFy1ahNdffx0jRozAn//8Z1d/Gb9+UIt/+RWo4kQCseFOCaq//hK+xlhZgco1zqR7dvKiSU5x65zIz5OpNNCw7uX2BwVTwVGYrh9397QIQVL/wTAtdPav0W4/hDsFvhcCuv3WHhQ1FPPr8IAwvJT5PH9AvN/ExLEYGTeUX+stBnySsw5Ge5iRK1iqbsFw6ivHWDN1OeShP+7L4Q/2lxxBTm0Bvw5WBWFZ1mIo5J5XXSdUHYJl2Uscr5Vdt535M77keNkZnKu8xK81igCsyF4CtUIl6RxMNdWo+ORj57PNU89AOyAV3sjlC4i4uDieSH3+/HmcPHkS//iP/4igIM8ow+or5Bot31GTqcWDWuORw2g6dRK+wmo0ooydrOhE9a2Q0WMQNlXEaRLPpohM4omS7fTHvuCJlIS429A5i1A9pC+/VlqAqo8+RGuz2Bn2BVerc7HvzmF+zR4El2cvQbA66KGbUIvSn0J8oHioL20px4brW1wyB5u+Bbr9KwGrCNdRDZoDVYp/Nvq8Xn8T227tduahZC5ChCYcnmpAeArm9XP2CPk87yvU6xvgK+403cO317c6xosznkFsYIykc7CaTChjOZ1tojly8LARCJ81B97KuwKuiENAr96IXbzUMa5cuwaG0lL4gqov18F4Tzx0quLjEffiy24rdUc6jyVKqgZOFQOLkSdSsoRKQtxt5Kt/j/poUd42tMmIyyt/D6vV++O9a3R1+CL/G8d44YDHebjMT9EoA7Bi0FKoWUMdAKfLz+NU2bluzcFms0J3+GPYWmr5WB43AAFjnoE/ajQ049Pc9Y48lEeTZyAjKg2ebkafyRgUnXlf7oazh4g3azO1YTX7u9jzUKb1mojhsYMln0f1N1/DcFucEKpiYhD3yjKvfrahBYQXC5swCaETJ/Nrm9GI8g9Wwqp3X6M3V2g8cRxNx4/ya3bCkvjmX/ATF+JdWFUmeZR4gGGJlCyh0oUtZwjpkgBNIJLf/h8wqMWPvpiiKpzf9BG8mclq5g96OnszrKExg/gD0i9JCIrDooFPOcYbrm/mpxFdZbzyPSx3RK8imSYE2hlvQdbDZWI9Nw9lPZqNIg9lYEQqHk2ZCW/ATq5ezHjWUa2ruOkOttz8Ht6M/dxZm78Rtfo6Pk4J7YMFA6TPQ2k+ewaNhw44cjoT3nwHikDvjs6hBYSXi31hCQJ69+bXxvIyfhLhrQ9qhnt3UbX+C8c4bulLCEhKcuucSNewhEntrLcBtVj8sYRKllhJiLvF9U6F7DlnucSQvadx86r35upsurGdN+5jYrRRWJLxdId3NUfHD8fExDGOhQirTqMzd34TijUYNZ5rL4spg2b665AHi34k/mZn8T7caLjFr8PUoTxB+Yd5KJ7sh9W6Dt093mPVuqRw4O5RXK3J5ddBykAsy17c4/1PfshYUY6Kzz9zjGNeWAJNn58+IfQW3vOqJg8lV6t5fwi5RsPHzWdOo/HIIXgbq17H8x7YSQoTNnkKQsdR6V9vxhInNVNWOMYssZIlWBLibtlT5qNmTDq/VliBpk/WoKne+3qXnK+4hKOlDzbD0io7d2L7dOo89A4RGzVVuhqsL/i2U5tQ1rYG6A+8z7Z6+Vg9fB6UvTynTKmUcmrysafkIL9miwb2sBqi9r7Kgaxa11OpD1brquqBal09jRUU2Hpzl2P8UtbziLSfrkjFajCgbNV7sBnEwjxk3HiETZK+43VPoAWED1DHxSPuleWOMavKpLfH2XkD9sOqYs1nMFWKmuEBvfsgZpF/1gz3NaqUETyRkrNaeIIlS7QkxN1Gv/Q/UBsvHu6CWs3Iee8PsFi8J967orUS6wudzbBYOUrWbbqzVAoVr0ajVYpNqEtVV3mPiI6wWS3QH/wQNl0jHyuSsqAe7l3NsFylVlePz/O+dozn93+UJyZ7q0lJD1brYjkERovoneANWAjZpznrHT0tHuk7HVlRAyV/tqla9wWMZSI/VZ2YhLglL3l13sP9aAHhI0JGjEL4zFmO7s1lH6yEpVVk+nu6hkMH0HJe1AyXa7U8NlCu8r+a4b6KJVKyhEqGJVjyREsfblREvINSHYC0v/g76DTix2B0ST3OffUevIHBYsTH95VfHRs/kjfE6qpobRSWZjznGLMu1cWNd37xzxnPb4alLJ9fywLDeeiStzXDcgWWaPxJ7jq02fNQhkRnYUZvkZ/orR5WrWuji6p19TTRVftLNBpFl+e0iAF4vJ+zjLNUmo4dRdMpsRiXBQSIaJEA0dTSF/jfd7oPi3n6OWj69efX5poaVHy22uPzIXS3bqF6g7NmeNwrK6CO9c+a4b6KJVLyhEqNaFTEEi1ZwiUh7hYV1xcBS5+318oBwo9cRuHZfd7RDKtVhFwlBsXjufQF3d7VHBKTxavwMKxrMkvMbjH99CaUmX0fX94hBjI5NDPfglzrfc2wXGFT0U6UNInKgdGaSCzJeNYndpl/WK3rZPk5nCo/D0/3ffF+FNYX8WvWIO8VN+Sh6O+UoOrLtY5x3EuvICCx8yeEnowWED6EZ/a/8Rbk9m7NrZcvoX6PM/7P01haWnjlKFhEabWIWXMQMnyEu6dFegBLqGS7kyzBkmEJlyzxkhB3GzhmNuoni5KOchug/+Jr1Fb+8u67u5wsO4uzFRf5dYBCbW+G5ZoT2/n9HkX/sGR+XW9o4CE57SEg97Oyk8RDzupVAaOfgTLe88uU9gSWYHzEHvLFknOXD1qCQJXvVA78UbWuwu5V6+ppebWF2H1bFOxgi4ZXshbzRnlSsrS1oZzldJpFSGTYtOkIHT0WvoYWED5GFRmFhBWvsfNHPq7Z9C3arnteR0mb1YqKTz6CuU7UDNf0H4Dop/yzZri/YImVLMGSs9l44iVLwCTE3UYt/kvU9BFNvrR6C66v/DeYTa7rzuwqrNrSNzfua4Y18BnEBbnuxJZ1SWaJv6xrcvvD2N4S0Zyunc1iFs3iDOJ0Qtl3GFSDnQ3I/EllaxXW3dd/gyWk9wnpBV/DqnVNcFTrMmF1TteqdfU01vhuTd5Xjv4bT/Sbg9SIfpKfEFau+QSm6io+DkhOQcyzi+CLaAHhg4KyByPy8bliYLWi/MP3YW4USW6eovb7nWi9JkrDKYJDkPD6W/wEhfg2lmDJEi0ZlnipP/ABT8QkxJ0UCiWy3vktWgPFe1BUWTPOfv4f8CRtJh0+ueZs7DWl13iMiBvi8q8THhCGV7Je4N2TmR239uC6PRyEMZzZAKu9mposJAaaqSt8Ilyns1j+CUssZvkozKi4YY6SuL7oGVatK1iE4FS11eDLTlbrkqL/xic563kDPCY7KgMz+0hf7ahh3160XLzAr+WBgUh8/S3IVSIEzNfQAsJHRc1bCO3ADH5taWxA+cfsQc0zElcbr+Wg6rtvxUAmQ/yrr0MV6Z81w/0NS7DkiZZBopSepbyAJ2IS4m5hkXEIXf4yLPZn4ejTBcg9ug2egD2ofZ67ATX2Zlh9Q3tj4QD7JlEPGBiZisfszc/Ybu6nLCHV0AQT6+eSY88RUSh5rxdZgHc3w+qqDYVbUNYqKgfGB8Xh+fQnfXohxap1LedlgjWO0K3DdztWrUsKrOFdcVMJv2aN8F7MfE7yvAdd0Q1Uf+c8kYpf9irvOO2raAHhww9qCa++AUWYOJbXFeSjdpv7KyiYGxpQ+Kf/dNQMj5w7D0FZ/lkz3F+xREvNjLd44iXDEjFZQiYh7tZ/yEQ0z3buIlu/3oLKuzfgbjuvH8Dlqhx+HajUYnnWEt73oSc9kjwDGZFpzpKYVz5D65FPHf9/wLjFUESLfAl/c7LsHE5XiGRiln/yavYSnnDs62ICWbWuZx3jjYXbcaPW/SXjL1ddw8G7x/g1a4C3PHsJglSBks7B0tzMoz0cOZ2PPIbgocPgy2gB4cOUYWFIeP1NwF5Wr27ndrTmuK+jpM1iwb0P3oepQcS9B2ZkIeoJ/6wZ7u+U8am8vGs7lpDJEjMJcbeRT72O6gFi1zDAaMXtVf8Jo0GU53SHovpirL/iPKV7KfN5RGl7vhkW271lX4uFNPF5tJRiX6joTqwcMA6qjKnwR/eay/DNdee/xwus1GlQHPzFkJhsR4laVq3rP0+uRovRfSXjWTjV2vyNjvFTqU/wEzop2Vio+OoPYa4XJ4TatHREL3QmnvsqWkD4uED+Qn5aDGw2lK/+CCZ74rLUarduRluBqBmuDI/goUv+WDOcCKpBj0CZPFwMDK3Q7VvJEzQJcSe5XI6hb/8WzaEibjmiug3nPv6jW+bCdv4/vroOFnslpNl9pyE7WoSmSoF1UV6evdjxoHA4IggFMfHQTPKdZlidoTPreAKxyZ6HMjFpLEbF+/Yu88OwJnn97NW6atrq8FnOVw+t1tXTWGM79u+ht4iE7hGxQzApaZzk86jbuR1tueKEUBESioTX3oRMIRbbvoye3vxAxJxHEDREdJS08tKpqxzlxaTScvUy6r631wyXy9HrrbegDPXPmuFEYA8gminLeSImY62+BcNpZydXQtwlKCQS0a+9DrP9J2TM5du4vFfa1yZ7IFuT+xUaDKIARlpEP8xNkb4ZVu+Ku3i0ptkx/iZShTqzSFT1JywPZV3+t6jWiQ243iFJeHrAE/BHrFoXW1iG2Kt15dQUYN8PqnVJYeP1rY6SsnGBMXhh4FOSL2xb83Kd4eEyGRJeewPKcBE67utoAeEH2C4/S+ZRRkfzsf7WTVR/60z06Wmm2hpUrP7YMU5+aSk/GSGEJWBqZ73DEzIZU+5+nqhJiLv1HTgSuiecYTqqTXtQelO6ENBdtw+goF7kX4RrQrFi8BL+4CYlS+0d6I9/gYkNOmS1iF3eNouBVx9q34X3F4fvncDl6mv8WqvUYkX2Up5Y7K9YaNvywYsd1bq2/6BaV087U34BJ8vFzwrW6I79e2jsCd5SMdXXo+LjDxw5nVHzFyIwIxP+ghYQfkIRFITEN95xlEpt2L8XzRfO9fjXZScd7MTD2iZiJFmjuMT5/rlrQx5OEd0XAeOXOMb6I5/C2iCqmxDiTsMefxHVmUn8WmW2oez9ldC1OXfje0p+3XXsKt7Pr9kD2l+NW46wAGlPbG1Gnej3YDHxR8RF4UMRrY1y9KPYdMN+ouwHihtLsKnI+fd9MeNZRGupcmBGVBqeznrsR9W6elpZSwW+KtzkGLMKWInB8ZCSzWxGxUfv8+RpJpCVz3+s5yqjeSJaQPgRTXIyYp57wTGuXPMpjJU9+6BW/c3X0BeLmuGsnFnicv+sGU5+nmrgFJ6YyZn00O1/Dzazwd3TIn6O5UOMePM3aIwQO5thDQZcfP/3sPZgSWzeDCvX2Qxr/oBHkBWbJnm4jv7IJ7A1VvKxPLovwscv4bu8rNsyc7T0JM5XXoavYwnCrL9Ae4w/6y0wOEb0siHAU5mP8YVEe87OZ7lf8p4MPUVv1tvzUEx8PCFxNMYkjIDUajZ/B92N6/xaGRnJG/j6W06nf/1tCcKmTkOIvaW6VafjO2pWY890XG0+ewYNB+27aEolEt54m5+EEPLQfIhJL0MeIRoVWevuQX98rbunRQg02hAkvfkOjEqx8RGTX4ZL2z/vka/FHrw+zV2PFpM4sc2KGog5KdMgNRZKaC4WZUqh1kI7823IlGr0DknEs6nOynnrC75FRavouOuLeB5K3leoN4jKgf3DkjGvn3923f65RfbyQS84qnXdaLiFHcV7e2xh+2XBd6hsq+bjXsGJeOa+16NUWi5dRP2eXWKgUPBGuIrgYPgbWkD44YNa3IsvQx2fwMfGe3dR9eU6l38dY0U5Kj7/zDGOWbQYmr7+WTOcdIxMFQDNzHcAez118/XjMBUcdfe0CEFiv2xYnnI+OGp3HkFJvutDQLfe3IVbjaIZVkRAuFuaYVmqbj5QzEA79TXIQ2Md4/GJozE6fvh93ZjXOrox+5o9tw/xcDImRBWMZdmLJc9D8QasWteyrMWO1+rekkPIqREVF13paOkpXKgSPYNYQzt35KEYq6tQ8akzpzPmmeeg7T8A/ogWEH5IrtEg4c13IFOr+bjp+FE0njjuss9vNRj4yYbNIJLuQsaOQ9hk/6wZTjpHEZEIzeRXHGP9ibU8kZMQdxsy6zlUD0/h10orUPPRR2hpdF1J7CvVOThwVyyYFTIFVgxagmB7lRup2PQtvJwy7CEoqsGPQpk87EebUCzmPMHe+6C8tRIbCjfz3WFfUlhXhJ32nXSWh/Jy1iLHLjv5sf7hyVjQX+RDMJ/nfY1aneiL4AolTXfx3Y3tjvGSjGd5YzspWU1GlLOoDZ3oCxM8YiTCZ8yCv6IFhJ8KSEpC3NKXHeOq9V/AcO+uSz531fq1MJbe49fqxET+dSjvgXSUasBYqDKni4HFxBM5WUInIe42avmvUR8jOtyGNJtwZaVr8iFqdLVYm++sjPdk6lwkh/aBlGw2K2/oaGsVD32K+DQEjH54M6wAhZrv/rL/MmcqnBVxfAErncti+dvzUB5PmYWBkanunpbHm957Em80x7SZdTx3xBXVulpNbbzyF2tc1/51htq/jpSqv/4KhjvihFAVF4e4l5f79bMNLSD8WOi48Y6TAZvRKPIh9N17UGs8fhRNJ8VphiwgAAlvvAN5gAhJIaSjAsYtgjxahLyxRE6e0OljO5zE+6gDtEh552+hV4sfnTG3anBu4wfd+pwm1gzr2lrozOLEdnjsYExJGg+pGS/tgOWuKFMr04RAM+NNyOwJ0w8THxSLFwY+7ewPcX0r7jaXwdvxPJScL9FsauHjjMg0zEm2b2iQn8UeppcMfAbRGlGhqqT5LjbfV72qq3koX+RtQJ2+no/7hfV94KRDKk2nT6LxyCF+LVOpeFVLhVYLf0YLCD8Xs+gFBPTpy69NlRWoWPNZlx/UDHfv8NOHdizXIiBRJMUS0hkyhYonbkItdntZQqcpZ5+7p0UIYpP6Q/HCk45x6P6zKLrU9VydjTe24W6LePCODYzG4oFPS76raS7Lh/HCZvtIBs30NyAPivjFPzcybigm2zv/mq1mng/BujV7M9bP4GZjMb9mIUsvZy6SPA/FmwWqtFgxyFmt68i9k7jQjWpd+0uOIKdW5FOwkD6WayF1HoqhrBSVX6xxjGMXL0VA797wd/Rd4efkKjWvjiS3r6Rbzp9Fw6EDnf48lrY2kfdgEqXVwqZMQ+gY6VvKE98hD42BduqrjrHh9AZYKqVrVETIT8maOBc14zL4tcIGNH/2BRpqRUfczjhbcREnys7wa5WbmmFZ2xqgP/C+oxmWeuQCKHt1vEzpk6lPoE9Ir/tCsTZ67Wnh1epc7LsjOiqzRcPy7CUIVlPlwM5iXbp/WK2rsgvVum7U38S2W7udeSiZixChkbbLs1Wv53kPLEqDCR0/EWETJ0s6B09FCwgCdWws4petcIyrN3wF3S3Ru6Ej2A+Lys8/halK1AwP6JuMmOcX9chciX9hCZzqIfbjapsFuv2reKInIe42+sW/QW1iCL8OajMj770/wmIxd64ZVsF3jvHz6QuRFCyq40nFZrXwxYNNJ5p/KXplQz2sc40+VXIlVmQvQaBS60gGP3T3GLxNja4OX9yXh7JwwOM8XIZ0zf3VuliVLpbDwKp2dVSjoZk3pmvPQ3k0eYaj34RU+LPN2s9hLBcnhOqkXvz0gQi0gCBc8LARiJhtL1NosaD8w5WwtHTsQa3hwD60XBA1w+WBgUhkJxoqkVxHSHepRz3FEzoZluDJEz3tTZ0IcRelSo30d36NNo0Ip4i+24Cz6/6rQ39WbzbgE/ZAZW+GNT5hFMYmjITUjOe+g6W8kF/LgiKhmf46ZF0I14nSRvKSs+023/wetxpvw1uwRF/279EefjU0ZhCm9Zro7ml5tR9W6yprrcDXHazWxftv5H6JJqPo8jwwIhWPpsyE1BqPHkbzmVOO6pWJb1JO5/1oAUEcop98GpoBotKEubaW1zq2/UKFEd3NIlRv3OAYxy97lXecJsRVZHKFSOjUhvIxS/RkCZ+EuFtkbG8EvvwCrPaUhchj15B/es/P/hn2APVV4XeoaBMhHezU4Zm0BZCaueQyjFe+FwOZAtqZb0GuEScqXTEoOhOz+kx1PACyCjysM7E32HRjO+40i8qBMdooLMmQPg/FF4lqXUugvq9a16nyX+6fsvPWXlxvuMmvw9ShvISu1Hko+tu3Uf3Vesc47uVlUMfHSzoHT0cLCOLAu0W/9iYUweKHSOvVK6jfbf8B8xCW5maUf7CKn1gwEXMeRfDQB2uGE+IKLKGTJXaySFiGJXyaS/PcPS1CkDZyBhqmiPc99uo0rt2AmvKf3n0/Vnoa5+1JpRpFgP0BS9pmWNbmaugOO5thBYx5Foq47jfDeqLfHAwIT3GUQmW9ANhiwpOdq7jEG5QxLPF3efZSaO3hWKT74oPisDjdWQ54w/UtP1utizWg211ykF+zRQNr3sca1UnJ0tqK8g9WwmYWIYnh02ciZORoSefgDWgBQR6gioxE/Kuvs/NHPq7Z/B3aCn7cUZKdTJSv/hDmelEzXJuahuiFD68ZTogrKJMyoR65UAxsNugPfgBrqyjtR4g7jVr0Nmr6itKVWoMVRSv/BLPR8BPNsLY90AwrNlDaE1sb762yCjC08rEyeQRUg2a75HOz6jisSk77Ax/r4rz7dueLckilorUSXxY681CeS1uA3iFUOdDVRsYP61C1LlaqlZVsbTe//6OOBalU2AlhxWerYaqp5mNNv36IefZ5SefgLWgBQX4kKCsbUU/YKyjYbCj/6H2YGxse+D113+9AW24Ov1aEhCLh9Tf5CQYhPUk9bC4UvQfxa5b4yRYRLBGUEHdSKJTIfufv0RIk3gMjK1pw9rM/PfB72kxtPM7ebG+GNa33RAyLFa9lKRlOfQ1rtShTKguNg2aqa5thhQWEYlnWC7xqDvN98X4U1N2ApzGYDfj4vsTeMfEjMC5hlLun5bN+WK1r3Q+qdbGFBQt7azW38fGQ6CzM6C19taP6vbvRevkSv5YHBSHh9bfp2UaqBYTZbMZ//dd/Ydq0aRg2bBgWL16My5e7XgOYuEfk3HkIzBSl/CxNTSj/6APY7KFKbfl5qN1qrxkukyHhtTegDP/lmuGEdBdL8NRMe40nfDIsAZQlghLibqERcQhfsQwW+0/V6HM3cO3wZmczrPwNqLU3w0oJ7eOWZlimotMw5dlPBBRKnvcgs/dacaW0iAGY20+carAqOqyrMwtp8hTswfXL/E38BIJJDIrnVbAo76HnsGpdrCxue3jYZVat655oOstsLtqJ2013+DVrRMdO56T+99DduI6a7zY6xgkrXocqKkrSOfj1AuL999/Hxo0b8S//8i/YsmULUlJSsGLFClRVdb4GMHEfmVzOQ5mUEWJhoCss4IsGc0M9X0y01wyPmrcAgRmZbp4t8Scs0ZM9+LDET4YlgppLxI4RIe7Ub9B4tMy+r//Nhm2oKCnEgTtHca1GhIIGqQL5g1R7oy2pWBrKoD/6mWMcMGEpFNE9V6Z0dt9pyIxK59ctplZ8mrOed3n2BAduncDp8gsPTfQlPSdaG4mX7q/WVbSTV+u6WHUVh++dcOahDFrCG9JJydzUhLIPVwH2wjGRj81F0KDBks4B/r6A2L9/P+bOnYuJEyeib9+++M1vfoPm5mY6hfBCShaa9NpbgFzuCFu6+6c/wtIsaoYHZmUj8vHO1QwnxBVYwmfA2GcdY92hj2FtEjGrhLjTiCdfRXVqLL8OMNlwe9V/YOeNXXzMwnpeckMzLJvJAP2+lYBZ5GUoUydAld6z4SEsAfalzOcRESD+rjcbb2PrLXEf3OlO0z18dtEZZ886f8cFiX8v0vN+WK1r9bV1WJ/v3PV/OnWeI9RJKiyns+LjD2BpEKHa2vSBiJpvz7cjP8nlWyBRUVE4dOgQlixZgoSEBGzYsAFqtRoDBw509ZciEtCmpiLm6WdR/c3XfGyqqOD/VUZE8uM9dlJBiDuosmfDUnED5uLzgLENbbv+HYrYfl3+fHKZDKYAJYwGM6xe2klXkEHZZwhU/f27aoil6hZMRaegypgGRYR0ibFyuRxD3/ot8v/x7xHaaERkrQELDtShMUiBpOB4RBYfQTmOdPzzyWSoVithNHbxdWkDLJU3YGtfYAcEQimzALecVZh60ktGLfLr7op495M7cEx7HHI3pl+y3gLTLKL/RlxQDBKLz6IcZyWfhyIoGFGPPwFFSNdL53orVq2ruKkExbW3MPB8GcJarI5+Iv1vXUW57Kqk87E0NPLQbEYRFsbDsmUKccJNfprM5uKe8zdv3sRf/dVf4caNG1AoFPzN9M9//jPPiegKi8WKpqYfZ+tLSaGQIzRUy+fB5uNv2Evk3nv/jeYL4sgXCgWSf/sPCLT3jOgMf7+XrkT3ErAZ2tD07e9gbRSxzMQp6LG/gTp5mF++Ni315fx1AZMeMm0YQp/9F8iDpN31v1N4EfX/77+gsnjzYpT0JG1aGpJ//RuvTdLtzvd5o6EJh/7tN0gr8qBeITIZ+v79bxHkpg1vhQf8TGdfn83DLQuIPXv2YM2aNVi+fDni4uJ4PsTOnTuxbt06ZGRkdPrzselRYpP7mVtakfO/fofWkhL0f/1VxD/imrJ/hHSXofI2ytf9Dla9B/0g8gByTRCSlv8bVOGiE6y/sBr1KF3zG5iq7zo+pumTiYTF/8ibEkrp+HdrYFu7HXJaQ5CfkLRwPpJffhH+pnL/ART9eRU8ScryV5A4b667p+E1XLqAKC8vx6xZs/gCYuTIkY6Pv/DCCwgPD8eqVZ1/sdAJhOdgTVWsRiMUgV2v2kH30nXoXj4Y493dnhDsfgYHB6ClxeDV91N3agNMxeK0UBGTgpAn/xdkEjcqc9drk/04azv4EYyFIiHzfpphc6Ed58ybkUpLQw3kOgMU9qR/yV6XRh1adv8XrC2iV486dTw0o6TveO1gs6HR2ASzmxOpWVREUlQMDDqL277PjVWVuPtf7zqasPb+y79CyPAR8DZd/T7X37mD4n/5J9hMIpQs5sUXEZqZDXdSaLVQhoXB33+mh3biBMKl52ZXrlyByWTCoEEP1rYeMmQIjh492uXPazZ7xg9z9g/qKXNxDzmg1rjkHtC9dB26l2wrRAUEdzMRUimHKiIIkLXC5sX3M2DKcphr78LWVAVLdTFaj62HZuKLfvHaNBYccS4elAHQTFgC/dE1rHsa9Jd2QBY7AMq+QyElTXAk0I1GukqlHNqIIOjrW1mx/A4vpPT73oPcXAe5BpDHpCBw9iuSLyR/KBLuPw1j9zM0Igj1nbifrqaNjkXMM8+j+uv1fFz68Ufo83/+CeoY70zm7sz3uUWnw92Vf3YsHsKmTEPE5OnwBJ7yc9TiJT/TXZrJFB8fz/9bWFj4wMevX7+O5ORkV34pQgghD8Hq+mtnvs3r/DOmvIO8/r+vs9SUwHBirWOsmfwKVOmTEDDmvmpdhz+Gtdn3q3WZru2F+bY9Zy0gSPR7cPPigTwofMZMBI8UjeusOh3K318Jq0k0tfNVbGFbueYTmCpFzlpAn76IeX6Ru6dFPGEBMXjwYIwYMQJ///d/j9OnT+P27dt49913cerUKbz22muu/FKEEEJ+Aqvvz+r8t2P1/y31ZfBVNmMbdPtXAhYzH6syp0M1YKy4HjQbymR7eIihFbr9q2CzV+HxRawymeHMN46xdtqrkIfEuHVO5MdYbmfcS8ugihOnMoY7Jaj++iv4soYD+9Fy4Ty/lmu1SHjzbchV1H/DW8ldHVvIGsmNHTsWv/3tb/Hkk0/yhQTLiWBhTIQQQqTB6vyzev+c2QD9/vd4roiv4eE6hz/hIVsMC9cJGLfogQc1zdTlkIWK8BBrdTEMp0RZal9j1TVBd2AVD9li1EMfh7KPtCFbpHNx94lvvAOZSpwONR45hKbTJ+GLdDeLUL3R+X0Xv+xVrw3ZIoLLizGHhYXhd7/7He8FcfHiRXz99dcYPdq/65ETQojU+IPzxBchjxBNmaz1Zf9/e3cC3VSV/wH8l6RN0xbaQoG2CKKgUJEdZBn2VRAYQBwYEWSRHT3jiIrLjNscdXQcV7RlE5DtPwoCoigissoii4qsUvalLaUtpUv2vP/53dekTZqUtKRZ+r6fczrmhZf0ze3Nzb3v/u79kWHXUnk//uoarsPhW33LhuuUDevaQubT+6g64WRYhq3zSSreTECT1Iy0HR4M9GXBTUQ0bEj1HilZo5T52RIyXrlM1Ym1oIDSOctz8aLxWvcPohpt2wX6suAWIQsYAEA1pQqPoMj+s4jCdeLYcmo3mU94n8QsJMN1Yup6HdZlu55O1YXplw1kvXREPFZFxpCu7wy/b1sLlRPbrTvFdO0uHksmk7wewmCg6jKwTV84nyw58m5gkXc3pTojRgb6ssAHMIAAAKjG1HFJYkGxnXH3crHgONTZDPmk35JSEq7T+gEKa9TW+7Aus4H0m6tHWJfl0lEyHVwnH/DMU98ZpI7yb+I8uDX1xowl7W3ybKEp/QplLqses4U5G7+moiNyZmnOup04dUbIJs4DZxhAAABUc+FNOlF4877ygdUiFhxLxkIK6XCdH+eRVJhTEq5z38gKhHXdJo5tuZfJsOuzkO6ocf4Tw4+pXCrimMOWwupXPGkrBJY6IoLqz3ic1Dp5tjB/3x7K27GNQlnR8WOUvX6tfKBSUeKU6RReq1agLwt8BAMIAAAFiOjyV7HAmPGCY8P2RSHbcb6VcB0O69I5hXX9ROaTlc9TFEiSzUIG3lXKkC+ONQ1biYXTEJq0iYmUMGGS4zhr1QoynDtHochyPZfS56eKBIIs/s/DKbr5vYG+LPAhDCAAABSAFxZzPgDOC8As5w6R+fdNFPLhOn2mVzhcRxNXn3TdJziOOX9EKIZ1GX9eTdbMU+KxqkY8RfaeSioVvtZDWc0OHSmub3/xWLJYKD31Y7IWhtZsoWS1isGDNf+GOI66twXVHjw00JcFPoaWBgBAITgfAC80tjPu+0IsRA7ZcJ32IyjstuaVei/OE1EmrMtURKHCzAPAw9/JB2qNnCxOdwspryFo1P3LaNI1biwem69lUcbihSE1W3ht7RrS/yEnFA6rVZuSJk8jlRrdzeoGf1EAAAXhvACOMBfJKvIGcP6AkAjX2ZLiHK7Tdohvw7o4n0QIdNRs4loXOI4jOv+VNPWaBPSawHd4kXHStFmkjpZnCwt//YVyvy8eLAa5gt9+pdzvNsoHGg0lTZ8pFk9D9YMBBACAwvBCW154zDhvgMgfYLNRMDP+vIasGX+Ix6ro2j4J1ykb1nVQ5JUIZpLFJGfdNunFcVjj+yj83n6BvizwsfD4eHHn3u7ami9If0qu/8HKnJVFGYvmO47rjhxFkU3uCug1QdXBAAIAQGF4wbFYeBwZI455QbLpl68ouMN1vq2ScB0R1tWrdFjX50Ed1mXcs5Jsxes1VLEJpOsxSewuBdVPdMtWVPuB4lk2m42uzPuELDeCc7bQZjaL67MVyWGANdq1p7j+AwJ9WVCFMIAAAFAgXnjMgwheiMxMB9eTpXhno6AO1+k0mjQJvr2rGdaojcgjURLWlSLyTAQbMycCPF68taeYPXmcVNrIQF8WVKH4YSMoMlneltd6/TplLEgNytnCrM9XkfHcWfE4vF4CJUx4DAPbag4DCAAAheJ8ARzOJJNEbgVeqBy04Tp3dqDwFvIONb7GeSRKwrpy5DwTQdRRs+ZcJsPOJY5jzmehiW8Y0GuCqqfidQRTppEmNrYkt8KG9RRM8vbupbytP5as3+B1D1FRgb4sqGIYQAAAKBgvqOYFyYwXKIu8AjYLBQPjnlXO4To9q+6upvuwrg0UDGwmPRVs+ojIYhLH4c26ix9QhrDYOEqaWjJbmPP1V1R4NDhmC4suXaIrixc5juuNGUe62xsF9JrAPzCAAABQMF6ILBYk14gXx5xXgPMLBEe4zla/huuUDetaJ/JOBBLvCnXt2/lky70iX2PthhTRdVxArwn8L6pZMtUZUZxtXZIofUEqmXOyA3pNNqORTr71DklGoziO+VNXiuneI6DXBP6DAQQAgMLxgmSxG1FxNmfOL2A+dzBg12PNdQnX6TrOb+E6Iqyr/YhSYV2pAQ3rMh3dSgVHijNlh+sosv8sUoVpA3Y9EDi1Bj5A0a1ai8e2ggJKn5ciks0FamCbvnQJFV24KI61tzWgeo88inUPCoIBBAAAiDwCnE/AzrBtoVjA7G+S2UCGzR87wnXCmnan8GT/3tXk/BJOYV2cfyIAYV3WrHNUtGu545hDuNSxiX6/DggOnIwtcdIUCouXZwsNp9Moa80XAbmWvJ3bKW/3T+KxWqej+jNmkToiIiDXAoGBAQQAAAicT4DzCggmPek3fywWMvvzrqZh51KyXbeH6zQgXbexFPCwrow//B7WJRkL5QXkxQOXiFYDKNz+twHF0tSoQfWn8yxUmDi+vnkT5R884NdrMFw4T1krSwa2SRMnkTYxya/XAIGHAQQAAAgcfiDyCsQmiGNb9nmRd8BfeItSS9qeknAdXvcQFhFEYV2H/DeQ2raQpPwscRxxW1OK7FIyOwTKpruzMdUdVVIfMpcsIlNmpl9+t7WokNJT+MaCPLBNGjyIYjt19svvhuCCAQQAADjwQmXuuPPCZXunnhc0+yNcx7h7heNY13MSqeMSgyysa4Ffwro4aZ7l/C/isSoimhJGPEUqjXzHGYDF9u5LNTt2Eo9tej2lp84lm8lU5QPbjMWLyJx11TGQuWPi+Cr9nRC8MIAAAAAnvGCZ8wzY8YJmzkPgr3AdDqUKb9yRgjKs64eqDeuypJ90CpeK7jedwmLrVtnvg9CdLUx4dAKFJ8qDbOPFi3R1VUlYUVXgcKnCX+RZOHVUNDWY9Tipw+UbDaA8GEAAAEAZTrkGLCYycMfZbKjycB11vcZOd/2DLqzrWtWFddn0N8SCbZLkBHbatkMpvJG86w6AK7UukurP4O2N5V25buzcQTeKFzb7mj7tlNOC7cTJU0hbp06V/C4IDRhAAACAW5xvgPMOMF7YzDMR3OH3JV5bYA/XoYhoiuw3K+jCdfwR1sVZr3nLWKnoujjWOG0nC+BexG0NKGFsSRhR5vKlZLx8yae/w5J/g9LnfUJktYrjWoMGU41WbXz6OyD0YAABAABucb4BzjvAC5qZJW1vSXI3H7CI3Y1K7mpG9p5G6uKdj0IirCvXd2FdpkPryXr5mHis4oR2faaLbTsBbqZ0AjfJZKIrKXPJZtD7bGCbsXA+WXLlXCiRTZtRneEP+uS9IbShdQIAAI847wDnH7Az7l5J1qyzvgnX+eGTknCdNkMo7HY590Kw4pAuzkvhCOva7JuwLsvF38l06Cv5QKUW2bDVUbG3/L6gHPUeHksRDW8Xj80ZGZS5dLFPZgtzvv6Kio4eEY81MTGUNHUGqTTyzmSgbBhAAABAuTj/QHiL/vKBzSIvJDYW+i5cJymZtB1CI1yH81JwfgpfhXXZCrLJ8OM8kfWaae8bSWFJzXx2vaAMaq2WkqbPInVkpDjO3/8z5W3dckvvWXj0CGVvWC8fqFRi8BAWF+eLy4VqAAMIAAC4qYhOo8UCZyblX5MXPley4+wUrhMZS7q+HK4TGnc1OS+FWA/hg7Auzm6t5yzXxgJxrLm9DWlbD/Lp9YJyaBMSKGFCyWzh1f+tIsPZM5V6L3NuLmUsnMe7HIjj+OEPUlTyPT67Vgh9GEAAAMBN8cJmXuDMC50ZL3zmfAUVZbl0pFS4jqo4XCe07mpyfoqyYV3nKvw+xn1fkC0zTTxW1axDkb2niCzYAJVVs30Hiut/v3xgtdKV1I/JWiAPUL3FSeJ40bQ1P18cR7dsRbUHDa6Ky4UQhpYKAAC8wguceaGzHecr4LwFFQrX2ZLqHK5TP5mUGNZlPnuAzL9vkg/U8uCMk8YB3Kq6I/9CuiZ3iceW7GzK+HSBCBv01rW1q8mQdko8DqsdT4mPTcWCfigDNQIAALzGC505P4Eg2UTeAltRXiXCdVqTtvUDVH3CurK8Duuy5WWSYduikvfp8jBp6t5ZpdcKyqEKC6OkaTNIXaOGOC48/BvlfrfRq9cW/HKQcjd9Jx9oNGJdhab4fQBKwwACAAAqhPMTcJ4CxguhxYLom9zhdArX4ZmMXqEfrlOZsC7OYq3/YS6RWd5mM6xJJwpv3scv1wvKEV47npImTxNhguza2jVUdPJEua8xZV2ljE8XOo7rjvorRTaWB8gArkK79QYAAL/jcAaRp6B47YL1ynEyHVrnZbiORg7X0dVQZFiXcfdysmVflF8bl0S67hNEtmsAX4tu0ZJqD/mzfCBJlD4/hSx58s5nrmxmE6WnfEw2vTywrdGhI8X16efPy4UQgwEEAABUGOcp4AXQnLeAmQ5tEPkMvArXKQ77qdZhXfobZc4z//ETmU/sKH6RlnT9HhdZrgGqSvzQYRR1z73isTUvj9IXzHM7W5j1fyvJeOG8eByekEiJEyZiYAvlwgACAAAqhfMV8EJomSTyGfBCaedwnY9dwnX6khLDuqw5F8mwc6njWNdtPGlq3xaQawVlzRYmTplGmuL8DfoTxyl7/Vqnc27s2U1527fJ52u1VH/GLFLrMLAFPw4g9u3bR82aNXP707dv9fzSAABQMs5bwAuiGS+Q1v/wCUlWizgu2rmMbNkXSjJaV+NwHTmsa5rIa8E4z4U9rEsy6UXWarKaxHF4ck8Kb9o1oNcLyhEWE0P1p80kKt5JKeebDVRw+Dfx2Hj5MmUuW+I4t94j4yiiQcOAXSsodADRtm1b2rVrl9PP3LlzxRfGzJkzffmrAAAgCPBCaLEgumYdcWy7epr0e/5H+Ye3ken4dvkkjZZ0/at/uA7ns9D1m1kmrMuwYzHZ8jLkc+IbUcSfHgnwlYLSRN7dlOqM/IvjOGPRfDJeuUzpqR+TZJIHtjHdulNs1+4BvEpQ7ABCq9VS3bp1HT/R0dH05ptv0ogRI2jkSPs0NwAAVCe8IFrsRqQOE8fGw5soa2OK49913TlcpwEpMaxL//0HZDnzs3yojaTI/rNIFaYN5CWCQtUaMJCi27QVj22FhXThtZfJlH5FHGsbNKR6Y8YF+AohlMitfRVJTU0lvV5Pc+bMuaX3CQsL7FINjUbt9F+oPJSl76AsfQvleWvCkpqQ1G0M6Xd8Jj9RHMakvacnRTZX1l1NTfvBJGWeIvP5Xx3lwKL7TCFt7cSKvRfqpU8pvTwbTJlKZ155icxZWSLjNFPrdNTw8SdIG6Wr0HspvSx9LdTKUyV5k/WmEnJycqhXr140e/ZsGj9+fKXfhy+vusbMAgBUJ9xeX133HhUe+0kcaxPupPrjXyd1eAQpjVWfT5cXPUOWvCxxHNtpKMX3mxDoywKggrTTdHjOC44BRLM5T1OdP3UJ9GVBiKmyAQSvfVi1ahVt2bKFdLqKjWpLs1ptdOOGvINHoPBoMCYmUlwHXw9UHsrSd1CWvoXy9A1eMFy07VNSW4oossdEohry2gglsly7QEU7lpKmVn2K6jFeJJ6rKNRL30J5ym4c2E9Z69dTXLduFH//wEq9B8rSt4KhPPn3ezsDUmUhTOvWraPhw4ff0uDBzmIJjorJf9BguZZQh7L0HZSlb6E8b5E6gqIHzKJataIpN7dQ2WUZ14Ci/vyieGjlW3W3UBaol76l9PKMatOeGrVpLx7fajkovSx9LVTKs0oCrU6cOEEXL16koUOLE+sAAAAAAEC1UCUDiAMHDlB8fDwlJydXxdsDAAAAAEB1GkAcO3ZMJI8DAAAAAIDqpUoGEFlZWRRXnDYdAAAAAACqjypZRL1gwYKqeFsAAAAAAAiw0MhWAQAAAAAAQQEDCAAAAAAA8BoGEAAAAAAA4DUMIAAAAAAAwGsYQAAAAAAAgNcwgAAAAAAAAK9hAAEAAAAAAF5TSZIkURDjy7PZAn+JGo2arFZboC+jWkBZ+g7K0rdQnr6DsvQdlKVvoTx9B2VZvcpTrVaRSqWqHgMIAAAAAAAIHghhAgAAAAAAr2EAAQAAAAAAXsMAAgAAAAAAvIYBBAAAAAAAeA0DCAAAAAAA8BoGEAAAAAAA4DUMIAAAAAAAwGsYQAAAAAAAgNcwgAAAAAAAAK9hAAEAAAAAAF7DAAIAAAAAALyGAQQAAAAAAHgNAwgAAAAAAPAaBhBEZLPZ6MMPP6Tu3btTmzZtaMqUKXTx4kWP5+fm5tLs2bPpvvvuo44dO9Krr75Ker3er9ccrK5fv04vvfQS9ejRg9q1a0cPP/wwHThwwOP5KSkp1KxZszI/QJSZmem2bL788ku356NeerZv3z63Zck/ffv2dfuagwcPuj2f30vJ5s2bR+PGjXN67vjx4zR27FjRfvbp04c+++yzm77Pt99+Sw888AC1atWKhg8fTnv27CGlcVeWP/74I40cOZLatm0ryvKtt94ig8Hg8T2sVqsoQ9d6+tFHH5HSuCvPf/zjH2XKhsu1PKibZcuSH3tqQ9etW+fxfSZOnFjmfNe/kRL7Qnv27KEHH3yQWrduTQMHDqRvvvnmpu+5YsUK8X3F9XLMmDF07NgxCigJpI8++kjq1KmTtHXrVun48ePSpEmTpAEDBkhGo9Ht+WPHjpVGjhwpHTlyRNq9e7fUu3dv6dlnn/X7dQejiRMnSkOGDJH2798vnTlzRnr11VelVq1aSadPn3Z7/t/+9jfpmWeeka5ever0A5K0bds2qWXLllJmZqZT2ej1erfno156xp9l1zr2/fffS82aNZNWr17t9jUrVqyQ+vXrV+Z1ntoFJVi+fLmUnJws6ppdTk6OaD+ff/55KS0tTZQn11tP5cr27Nkj3XvvvdLSpUvFa/79739LLVq0EI+VXJbcbt5zzz1SSkqKdPbsWdEG9OjRQ3ruuec8vg+XWdOmTcV3V+l6WlBQICmJu/JkDz30kPTuu+86lU12drbH90HddF+Wubm5TmXI30tjxoyRBg8eXG5d69Kli7Ry5Uqn1/J7KbkvlJaWJtpIrpf8eOHChVLz5s3F97YnX375pXj9+vXrpVOnTol+U8eOHcuty1VN8QMI7gy0bdtWdBbs8vLyxB9qw4YNZc4/dOiQaKxLNyY7d+4UHZGMjAxJyc6dOyfK5sCBA47nbDab6IS9//77bl8zaNAgafHixX68ytAxf/58aejQoV6di3pZMYWFhWKAVV7H7OWXX5amT5/u1+sKVlyHpk2bJrVp00YaOHCgU8ciNTVV6tatm2Q2mx3P/fe//xU3YTzhmzR886C00aNHS//85z8lJZfl7NmzpQkTJjidv3btWtGh9TRw/eabb6R27dpJSlVeefL3Dz/PNwu8hbrpvixdLVu2TAysPN0cZNeuXRPfS0ePHpWU5NxN+kJcl3hgW9pTTz0l6p4n3J6+/fbbjmNub3v27Cna30BRfAjTiRMnqLCwkLp06eJ4LiYmhpo3b0779+8vcz5PQdWtW5eaNGnieI7DRVQqlQh5ULJatWrR/PnzqWXLlo7nuFz458aNG2XON5lMdO7cOWrcuLGfrzQ0nDx50qmelQf1smJSU1NFeNecOXN8Uv7V3dGjRyk8PJy++uorMeXuWve4roWFhTme69y5s/hsX7t2zW3I6KFDh5zaXNapUye3ba6SynLSpEll6qRarSaz2UwFBQVu30/p9bS88rxw4QIVFRV5/R2Duum5LEvLycmh999/n2bMmFFu2XLd5O+gO++8k5Sk1k36QtxmutYxbjP5u5pv7LvKzs4W7Wnp13B726FDh4DWy5IWX6EyMjLEf5OSkpyer1evnuPfXOPSXc/VarUUFxdH6enppGQ88OrZs6fTc5s2baLz58/TCy+8UOb8tLQ0Eb/L57z++utkNBpF/P4zzzwjyl/p/vjjD9EQPfLII3T27Flq1KiRaLA5ptIV6qX3+MtvyZIlYr0Il48np06dEuXPcapcvk2bNqW///3vIv5UaThm3FPcOLeTXDal2T+/XPfq1Knj9G/8BcqdusTERK/aXCWVJd+4Ko0HDlxXW7RoQbVr1/bYTlgsFnrsscfEDbGEhAQaP348DRs2jJSgvPLksmHLli2jHTt2iMEYt5/8Oa5Zs2aZ81E3PZdlaQsWLCCdTifqXHm4/LmcX3vtNfrpp58oKipKxPvPnDlTfD8ptS+0du1at3WMb2rxWkbXz3p5/VT+zAeK4mcg7ItMXStzRESE6NC6O99dxfd0vpLxnZznn3+eBgwYQL169fLYuEdGRtIHH3wgBhFnzpyhRx99tNxFg0rAHQIui7y8PHriiSfE3QxeoDp16lS3C/pQL723cuVK8aU2evRoj+dwxzc/P190JngR5ieffCI6wrxQmAe+UII/q+7aT+au7tk/2962uUpuA5599lkxkH355Zc9nsf/zgs2eWHqokWL6P777xft7urVq0np+DuGBw3c0eJZx+eee4527dolOrA82+AKdfPmeCbs888/F4MH++e8vPLncuObLgsXLhQ3wL744gvRpiq5L2Rw02bajzky41b7qf6i+BkIHkXb/2j2x4z/KNyxdXe+uz8wn8+ja5D98MMP9PTTT4vdB9555x235/DuFnw3qPRo++677xbP8U4kvAuGUvH0JO/2o9FoHPWS70JyZ4E7Ca7Tn6iX3uMdQ7julf68u+I7PTw1zG0AT+kzno7mXS/4bibvcAWe6579S81d3bN3Oty9xl2bq9RO2pNPPkk///wzzZ07t9xZr6+//lrM5EZHR4vj5ORkunLlimgnHnroIVIy7rDybjU8k8h4poxDPUeNGkW///57mTAd1E3vvtu5fHinsJvhmQcOyYuNjXWUP7enPAPEg2PX2Uml9IUiIiLK1DH7sad+Z+lzgqVeKn4Gwj4ldPXqVafn+Zingl3xtJPrufxH5TtACLuRLV++XNw17927t7jrU95dCtepOi5DDitRwnTxzXCHwLWTywMsDqdxhXrpHZ7u5S2ahw4d6tU0tH3wwPhOJseauyt/JXNX9+zH7tpQ/nzzwMLbNldpuBw4bPHXX38VgwDXUAhX3EbYBw923FFDGyp/Zu2Dh9JtKHNXPqib3nWIuU5y++jNjTD74MGb8ldKXygpKcltHeO65y60rqL9VH9R/ACC79bUqFHDaW93joPkO40cj++Kn+OKz7FsdnyXiLVv356UjsND/vWvf4kvwHfffbfcOMf33ntPTLeXXjR06dIlEQN41113kZLxTAPfsXDNOXDkyBG3ZYN66R1evBYfHy8+9+XheGneh790PhgOKeEBiNLrpru6x4v/+C643d69e8XCSS5rV7yQkOu2vX7acV3nRYFKxiGLvH6B1+nwnu/uvoNK4+8qXsDumhuG767bO2pKxne5J0yYUKZsmLvPMermzblbAOwJh9Vx6I5r+fONmTvuuIOU2hfq0KFDmTrGbSbXPR70uuJ2lNvT0v0B/j7iv8XN2oiqpPgBBP9ROa6Zp5a2bNkiOgg8vcZ31Thejb8Us7KyHLGRPOXJf2Q+5/Dhw+KPzslCOCRC6XcoeKHvG2+8Qf3796dp06aJHVi47PiH48n5jjg/tk/D8XmXL1+mV155RbyWQ0Z4tM7ly0n9lIzvdPPuFjwFzI3E6dOn6c033xR3JXlaHvWycvjGgKdEhVyevCMb47LkO5c8/c6DNt5NhB/zjI5rh0TpOJSBQ25efPFFsT6EO7O88JfbADv+/HOnuHRyKU6ctHjxYlG33377bZGMjjvPSsafcR60/uc//xGzs/b2k3/sAzSug/zD+C4w797CN2O2b98udmrh9VK8iw63pUrHN6h4zRiHgfGOTFxGvIh1yJAhjp2rUDe9x2vD+Aafpxsw3H5yXS1d/uvXr6dVq1aJer1x40ZRnrx+gm/cKrUvNG7cOPE9zf1OrmOffvopfffddzR58mTHe5T+nNt3aOM6yQuwuZ3leszf/wENUwzYBrJBxGKxiP11O3fuLPY/njJlinTx4kXxb/xf3s93zZo1TnsbP/HEE+JcTqDE+8UbDAZJ6Tj5EZeVu585c+ZIe/fuFY/5v3acOIX32Oay5KQonIzq+vXrAf3/ESyysrJEnoKuXbuKpDNcTpyUhqFeVs7kyZOlJ5980u2/cXl++OGHjuPz58+L8uR62bp1a7FH98mTJyWl48+y6/7wv/32mzRq1CixLzzn1+A94l1fw8+75jfo37+/qNsjRowoN4mSEsqSv4e4LDy1ofbvJD6/dPnn5+dLb7zxhtgTnst/2LBh0ubNmyUlclc3N27cKA0fPlzkduK2lBPDlW4XUTcr9jl3zTdUGref/O+uSek435O9beB+gtVqlZTcF2Lbt28Xiea4XDjnBudzKc31c8444RwnluS6zEn8jh07JgWSiv8ncMMXAAAAAAAIJYoPYQIAAAAAAO9hAAEAAAAAAF7DAAIAAAAAALyGAQQAAAAAAHgNAwgAAAAAAPAaBhAAAAAAAOA1DCAAAAAAAMBrGEAAAAAAAIDXMIAAAAAAAACvYQABAAAAAABewwACAAAAAADIW/8PNrdQ7RYAlowAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 800x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "trajectoires = ehrenfest_modified(10 , 20, 5)\n",
    "\n",
    "fig, ax = plt.subplots(figsize=(8, 4), layout='tight')\n",
    "for traj in trajectoires:\n",
    "    ax.plot(traj, lw=2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "6699629a",
   "metadata": {},
   "outputs": [],
   "source": [
    "N = 100000\n",
    "binomial = stats.binom(n=20, p=0.5)\n",
    "final_positions = ehrenfest_modified(10 , 100, N)[:, -1]"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c204b7fe-c569-47de-9515-cff937fb6fc7",
   "metadata": {},
   "source": [
    "## Processus de Poisson \n",
    "\n",
    "On considère un processus de Poisson de paramètre (ou intensité) $\\lambda > 0$, c'est à dire un processus de comptage associé à un processus ponctuel $(T_n)_{n \\ge 1}$ où les variables aléatoires $T_n$ (appelées instants de sauts) sont définies par\n",
    "\\begin{equation*}\n",
    "    \\forall n \\ge 1, \\quad T_n - T_{n-1} = S_n, \\qquad \\text{en posant $T_0 = 0$}\n",
    "\\end{equation*}\n",
    "avec $(S_n)_{n \\ge 1}$ suite _i.i.d._ de loi exponentielle de paramètre $\\lambda > 0$.\n",
    "\n",
    "Pour tout $t \\ge 0$, on définit \n",
    "\\begin{equation*}\n",
    "    N_t = \\sum_{n \\ge 0} \\mathbf{1}_{T_n \\le t},\n",
    "\\end{equation*}\n",
    "et on veut simuler une trajectoire de $(N_t)_{t \\in [0,T]}$ pour un horizon  $T > 0$ fixé. "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ddbbba1c-f7fe-4f21-b09b-7a896565bae1",
   "metadata": {
    "tags": [
     "question"
    ]
   },
   "source": [
    "### Question: simulation de trajectoires \n",
    "\n",
    "Ecrire une fonction `one_poisson_path(lambd, T)` qui renvoie les instants $(T_0, \\dots, T_n)$ d'un processus de Poisson d'intensité `lambd` restreint à $[0, T]$. Par convention, on veut que le dernier point du tableau renvoyé soit $T$.  \n",
    "Reproduire le tracé suivant.  \n",
    "![](img/poisson.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "c643e305-2d27-4745-9773-e6a4aec39d6f",
   "metadata": {
    "tags": [
     "aremplir"
    ]
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "id": "5e324299-9b18-4156-b4e3-d5e8f578d823",
   "metadata": {
    "tags": [
     "question"
    ]
   },
   "source": [
    "### Question: simulation alternative \n",
    "\n",
    "On rappelle que si $(N_t)_{t \\ge 0}$ est un processus de Poisson d'intensité $\\lambda > 0$, alors conditionnellement à l'événement $N_T = n$ les instants de sauts $(T_k)_{k=1,\\dots,n}$ (tels que $0 < T_1 < \\dots < T_n \\le T$) ont même loi que le réordonnement croissant d'un vecteur $(U_1, \\dots, U_n) \\sim \\mathcal{U}([0,T]^n)$.\n",
    "\n",
    "Reprendre la question précédente en utilisant cette propriété. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "82292154-bec4-49aa-8578-751dee5cf756",
   "metadata": {
    "tags": [
     "aremplir"
    ]
   },
   "outputs": [],
   "source": []
  }
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