{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "aeea6313-eb65-4299-a5b9-5e0cbfe94257",
   "metadata": {},
   "source": [
    "# Quasi-Monte Carlo"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "839c9a67",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-01-08T17:03:38.520704Z",
     "iopub.status.busy": "2026-01-08T17:03:38.520473Z",
     "iopub.status.idle": "2026-01-08T17:03:39.053034Z",
     "shell.execute_reply": "2026-01-08T17:03:39.052524Z"
    }
   },
   "outputs": [],
   "source": [
    "import math\n",
    "import numpy as np\n",
    "from numpy.random import default_rng\n",
    "rng = default_rng()\n",
    "\n",
    "from scipy import stats\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "sns.set_theme()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6e416927-7158-4779-adee-b70db69bdf11",
   "metadata": {},
   "source": [
    "Le principe d’une méthode Quasi-Monte Carlo est de remplacer les nombres\n",
    "pseudo-aléatoires $(U_k)_{k \\ge 1}$ par une suite déterministe\n",
    "$(\\xi_k)_{k \\ge 1}$ qui remplit *mieux* l’espace $[0,1]^d$. On mesure la\n",
    "qualité de répartition d’une suite dans $[0,1]^d$ par la notion de\n",
    "discrépance.\n",
    "\n",
    "Supposons $X$ une variable aléatoire à valeurs dans\n",
    "$E \\subset \\mathbf{R}^d$. Supposons qu’il existe $\\Psi: [0,1]^q \\to E$\n",
    "telle que $X \\sim \\Psi(U)$ où $U \\sim \\mathcal{U}([0,1]^q)$. Par exemple\n",
    "si on note la fonction de répartition $F_X(x) = \\mathbf{P}[X \\le x]$ et\n",
    "$F_X^{-1}$ l’inverse généralisée de $F_X$ (connue sous le nom de\n",
    "fonction quantile) alors $X \\sim F_X^{-1}(U)$ où\n",
    "$U \\sim \\mathcal{U}([0,1])$ (ici $q = 1$).\n",
    "\n",
    "Avec cette représentation de $X$ on a \n",
    "\n",
    "$$\n",
    "    \\mathbf{E}\\big[\\varphi(X)\\big] = \\mathbf{E}\\big[ \\varphi\\big(\\Psi(U)\\big) \\big] = \\lim_{n \\to +\\infty} \\frac{1}{n} \\sum_{k=1}^n \\varphi\\big(\\Psi(\\xi_k)\\big),\n",
    "$$\n",
    "\n",
    "où $(\\xi_k)_{k \\ge 1}$ est une suite à discrépance faible (Halton ou\n",
    "Sobol) sur $[0,1]^q$. Si $\\varphi \\circ \\Psi$ est à variation finie on a\n",
    "le résultat de Koksma-Hlawka pour contrôler l’erreur mais en pratique\n",
    "cette inégalité est difficilement appplicable car on ne connait pas la\n",
    "variation finie $V(\\varphi \\circ \\Psi)$.\n",
    "\n",
    "> **Warning**\n",
    ">\n",
    "> La suite $(\\xi_k)_{k \\ge 1}$ n’est pas une suite de nombres\n",
    "> pseudo-aléatoires car on ne demande pas la propriété d’indépendence de\n",
    "> $\\xi_{k+1}$ par rapport à $\\xi_k$ (et plus généralement\n",
    "> $\\sigma(\\xi_j, j \\le k)$). Ne pas faire un code où l’on remplace\n",
    "> naïvement les appels de $U_k$ par $\\xi_k$.\n",
    ">\n",
    "> Par exemple si vous simulez un coupe de Gaussiennes indépendantes par\n",
    "> la méthode de Box-Muller à partir d’un couple $(U_{2k}, U_{2k+1})$\n",
    "> **vous ne devez pas** remplacer ce couple par\n",
    "> $(\\xi_{2k}, \\xi_{2k+1})$. Il faut augmenter la dimension de la suite\n",
    "> $(\\xi_k)_{k \\ge 1}$\n",
    "\n",
    "## Koksma-Hlawka\n",
    "\n",
    "Soit $(\\xi_n)_{n \\ge 1}$ une suite sur $[0,1]^d$ et $f$ à variation\n",
    "$V(f)$ finie. Alors où $D_n^*(\\xi)$ est la discrépance de la suite\n",
    "$(\\xi_n)_{n \\ge 1}$ définie par\n",
    "\n",
    "Une méthode de Quasi-Monte Carlo est similaire à une méthode de Monte\n",
    "Carlo où les nombres pseudo-aléatoires sont remplacés par des suites\n",
    "dites à *discrépance faible*, c’est à dire dont la discrépance vérifie:\n",
    "\n",
    "> **Important**\n",
    ">\n",
    "> Si $(U_n)_{n \\ge 1}$ est une suite *i.i.d.* uniformément distribuée\n",
    "> sur $[0,1]^d$, alors (par la loi du logarithme itéré) La discrépance\n",
    "> est donc de l’ordre de $\\sqrt{\\log(\\log(n))} / \\sqrt{2n}$.\n",
    "\n",
    "> **Note**\n",
    ">\n",
    "> La borne déterminisite donnée par le résultat de Koksma-Hlawka permet\n",
    "> de donner un intervalle de confiance mais il faut connaitre la\n",
    "> variation $V(f)$ de la fonction et même en connaissant cette quantité\n",
    "> l’intervalle est beaucoup trop grand par rapport aux observations\n",
    "> empiriques. D’autre part une méthode fonctionne même lorsque la\n",
    "> fonction est à variation infinie $V(f) = +\\infty$.\n",
    ">\n",
    "> Dans le cas d’une méthode “randomisée” Random Quasi-Monte Carlo on\n",
    "> peut répliquer $K$ fois l’estimateur ($K$ petit, par exemple 10) et\n",
    "> déduire un intervalle de confiance empirique (cf. section 3 sur les\n",
    "> options basket).\n",
    "\n",
    "## Suites à discrépance faible\n",
    "\n",
    "### Suite de Van der Corput $(d = 1)$\n",
    "\n",
    "La suite de Van der Corput repose sur la manipulation des coefficients\n",
    "de la décomposition $p-$adique de $n \\ge 1$:\n",
    "\n",
    "-   Soit $p$ un nombre premier qui sert de base à la décomposition\n",
    "    $p-$adique\n",
    "-   Décomposition de $n$:\n",
    "-   Construction de $\\xi^{(p)}_n$ appelée dans la suite VdC en base\n",
    "    $p$:  \n",
    "\n",
    "**Discrépance:**\n",
    "\n",
    "**Important**\n",
    "Montrer que\n",
    "\n",
    "$$\n",
    "    \\lim_{n \\to \\infty} \\frac{1}{n} \\sum_{k=1}^n \\xi^{(2)}_{2k} \\xi^{(2)}_{2k+1} = \\frac{5}{24}\n",
    "$$ \n",
    "\n",
    "alors que si $(U_n)_{n \\ge 1}$ suite *i.i.d.* uniforme sur $(0,1)$\n",
    "\n",
    "$$\n",
    "    \\lim_{n \\to \\infty} \\frac{1}{n} \\sum_{k=1}^n U_{2k} U_{2k+1} = \\frac{1}{4}.\n",
    "$$\n",
    "\n",
    "#### Implémentation naïve\n",
    "\n",
    "L’idée la plus simple consiste à décomposer $n$ en base $p$ pour obtenir\n",
    "les coefficients $a_0, \\dots, a_r$ puis de construire $\\xi_n^{(p)}$.\n",
    "\n",
    "> **Note**\n",
    ">\n",
    "> Voici un code que l’on peut obtenir sur le site\n",
    "> [rosettacode.org](https://rosettacode.org/wiki/Van_der_Corput_sequence#Python).\n",
    "> Ce site est utile et instructif pour trouver des algorithmes\n",
    "> correctement écrits dans plusieurs langages de programmation."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "id": "5675262f",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-01-08T17:03:39.054148Z",
     "iopub.status.busy": "2026-01-08T17:03:39.054050Z",
     "iopub.status.idle": "2026-01-08T17:03:39.055656Z",
     "shell.execute_reply": "2026-01-08T17:03:39.055321Z"
    }
   },
   "outputs": [],
   "source": [
    "def vdc(n, p=2):\n",
    "    xi_n, denom = 0, 1\n",
    "    while n:\n",
    "        denom *= p\n",
    "        n, remainder = divmod(n, p)\n",
    "        xi_n += remainder / denom\n",
    "    return xi_n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2d457d31-1a46-4ddf-be01-5ff800c2cc39",
   "metadata": {},
   "source": [
    "Si on veut construire les $n = 100\\,000$ premières itérations, on itère\n",
    "les appels de la fonction `vdc`. Cela ne semble pas optimal et en effet\n",
    "le temps d’exécution moyen est **très lent**."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "id": "66c4471e",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-01-08T17:03:39.056519Z",
     "iopub.status.busy": "2026-01-08T17:03:39.056469Z",
     "iopub.status.idle": "2026-01-08T17:03:51.858702Z",
     "shell.execute_reply": "2026-01-08T17:03:51.858340Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Temps d'exécution pour 1000000 itérations:\n",
      "1.11 s ± 12.8 ms per loop (mean ± std. dev. of 7 runs, 1 loop each)\n",
      "407 ms ± 3.88 ms per loop (mean ± std. dev. of 7 runs, 1 loop each)\n",
      "Pour comparaison, un échantillon de 1000000 nombres pseudo-aléatoires:\n",
      "2.29 ms ± 26.1 μs per loop (mean ± std. dev. of 7 runs, 100 loops each)\n"
     ]
    }
   ],
   "source": [
    "n = int(1e6)\n",
    "print(f\"Temps d'exécution pour {n} itérations:\")\n",
    "%timeit np.array([vdc(i, p=2) for i in range(n)])\n",
    "%timeit np.array([vdc(i, p=11) for i in range(n)])\n",
    "print(f\"Pour comparaison, un échantillon de {n} nombres pseudo-aléatoires:\")\n",
    "%timeit rng.random(n)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f5abf999-043d-4297-bd48-a79bde73431d",
   "metadata": {},
   "source": [
    "#### Représentation des premiers points pour différentes bases\n",
    "\n",
    "On affiche les premières itérations de la suite de VdC pour les\n",
    "premières bases $p=2, 3, 5, 7$. La construction montre une certaine\n",
    "régularité, visible lorsque $p$ augmente."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "id": "1bfa1ef0",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-01-08T17:03:51.860003Z",
     "iopub.status.busy": "2026-01-08T17:03:51.859947Z",
     "iopub.status.idle": "2026-01-08T17:03:51.973378Z",
     "shell.execute_reply": "2026-01-08T17:03:51.972976Z"
    }
   },
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 800x600 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "n = 150\n",
    "fig, axs = plt.subplots(nrows=2, ncols=2, figsize=(8, 6), \n",
    "                        sharex=True, sharey=True, layout='tight')\n",
    "for ax, p in zip(axs.flat, [2, 3, 5, 7]): \n",
    "    xi_n = [ vdc(k, p=p) for k in range(n) ]\n",
    "    ax.scatter(np.arange(n), xi_n, s=10, marker='X', alpha=0.5)\n",
    "    ax.set_title(f\"base p = {p}\")\n",
    "fig.suptitle(f\"The first {n} iterations of the VdC sequence.\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "dcea0755-d07c-4fd2-8fdc-0c33632e52fb",
   "metadata": {},
   "source": [
    "#### Implémentation améliorée en `numpy`\n",
    "\n",
    "L’idée est de construire directement une plage d’itérations de la suite\n",
    "$(\\xi^{(p)}_n)_{n \\ge 0}$. On note $[r]_p$ le vecteur des $p^r$\n",
    "premières itérations et $\\xi^{(p)_{[r]_p}}$ les éléments de la suite de\n",
    "Van der Corput associée \n",
    "\n",
    "$$\n",
    "    [r]_p = \\big(0, 1, \\dots, p^r-1) \\quad \\text{et}  \\quad \n",
    "    \\xi^{(p)}_{[r]_p} = \\big( \\xi^{(p)}_0, \\xi^{(p)}_1, \\dots, \\xi^{(p)}_{p^r-1} \\big)\n",
    "$$\n",
    "\n",
    "**Note**\n",
    "\n",
    "La construction du vecteur à $p^{r+1}$ éléments $[r+1]_{p}$ se fait à\n",
    "partir du vecteur $[r]_p$ en posant: \n",
    "\n",
    "$$\n",
    "   [r+1]_{p} = \\big( [r]_p \\;,\\; [r]_p + p^r \\;,\\; [r]_p + 2p^r \\;,\\; \\dots \\;,\\; [r]_p + (p-1) p^r \\big)\n",
    "$$ \n",
    "(la concaténation de $p$ vecteurs de taille $p^r$).\n",
    "\n",
    "En `numpy` on peut utiliser le broadcasting pour construire\n",
    "efficacement $[r+1]_{p}$ à partir de $[r]_{p}$. On a $[1]_{p}$ qui\n",
    "correspond à `np.arange(p)` et voici comment construire $[2]_p$ puis\n",
    "$[3]_p$\n",
    ">\n",
    "> ``` python\n",
    "> p = 3\n",
    "> coeffs = np.arange(p).reshape(-1, 1)\n",
    "> u1 = coeffs.flatten()\n",
    "> print(u1)\n",
    "> u2 = (u1 + coeffs * p).flatten()\n",
    "> print(u2)\n",
    "> u3 = (u2 + coeffs * p**2).flatten()\n",
    "> print(u3)\n",
    "> ```\n",
    ">\n",
    ">     [0 1 2]\n",
    ">     [0 1 2 3 4 5 6 7 8]\n",
    ">     [ 0  1  2  3  4  5  6  7  8  9 10 11 12 13 14 15 16 17 18 19 20 21 22 23\n",
    ">      24 25 26]\n",
    "\n",
    "De la même façon on peut construire les $p^{r+1}$ premières itérations\n",
    "de la suite de VdC à partir d’une transformation simple des $p^r$\n",
    "premières itérations. Plus préciseement on a \n",
    "\n",
    "$$\n",
    "  \\xi^{(p)}_{[r+1]_p} = \\Big( \\xi^{(p)}_{[r]_p} \\;,\\; \\xi^{(p)}_{[r]_p} + \\frac{1}{p^{r+1}} \\;,\\; \\dots \\;,\\; \\xi^{(p)}_{[r]_p} + \\frac{p-1}{p^{r+1}} \\Big)\n",
    "$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "id": "652a700a",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-01-08T17:03:51.974307Z",
     "iopub.status.busy": "2026-01-08T17:03:51.974254Z",
     "iopub.status.idle": "2026-01-08T17:03:51.976498Z",
     "shell.execute_reply": "2026-01-08T17:03:51.976149Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0.   , 0.5  , 0.25 , 0.75 , 0.125, 0.625, 0.375, 0.875])"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "def van_der_corput_r(r: int, p: int):\n",
    "    \"\"\" Produce the Van der Corput sequence from 0 to p**r-1. \"\"\"\n",
    "    coeffs = np.arange(p).reshape(-1, 1)\n",
    "    seq = (coeffs / p).reshape(-1)\n",
    "    for k in range(2, r+1):\n",
    "        seq = (seq + coeffs / p**k).reshape(-1)\n",
    "    return seq\n",
    "\n",
    "van_der_corput_r(r=3, p=2) "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "97bb2533-1aa2-4094-8334-7f81544c2734",
   "metadata": {},
   "source": [
    "On écrit alors une fonction `van_der_corput` qui génère la suite jusqu’à\n",
    "l’itération $n$ donnée. Il suffit de déterminer $r$ tel que\n",
    "$p^{r-1}\\le n < p^{r}$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "id": "e59bb8ee",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-01-08T17:03:51.977460Z",
     "iopub.status.busy": "2026-01-08T17:03:51.977413Z",
     "iopub.status.idle": "2026-01-08T17:03:51.978890Z",
     "shell.execute_reply": "2026-01-08T17:03:51.978566Z"
    }
   },
   "outputs": [],
   "source": [
    "def van_der_corput(n: int, p: int):\n",
    "    \"\"\" Produce the Van der Corput sequence from 0 to n. \"\"\"\n",
    "    r = math.ceil(math.log(n) / math.log(p))\n",
    "    seq = van_der_corput_r(r, p)\n",
    "    return seq[:n]"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d3d95dc0-0882-4fa1-98f8-5493804d6986",
   "metadata": {},
   "source": [
    "Avec cette implémentation purement `numpy` et non `python` on obtient\n",
    "des temps du même ordre de grandeur que les nombres pseudos-aléatoires\n",
    "(générés en interne en `C++`)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "id": "a663f851",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-01-08T17:03:51.979738Z",
     "iopub.status.busy": "2026-01-08T17:03:51.979693Z",
     "iopub.status.idle": "2026-01-08T17:03:56.344206Z",
     "shell.execute_reply": "2026-01-08T17:03:56.343770Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "3.39 ms ± 31.2 μs per loop (mean ± std. dev. of 7 runs, 100 loops each)\n",
      "3.09 ms ± 24.4 μs per loop (mean ± std. dev. of 7 runs, 100 loops each)\n"
     ]
    }
   ],
   "source": [
    "n = int(1e6)\n",
    "%timeit van_der_corput(n, p=2)\n",
    "%timeit van_der_corput(n, p=11)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4f01242c-ac5d-4e13-a9c1-94189c562cb6",
   "metadata": {},
   "source": [
    "### Suite de Halton\n",
    "\n",
    "Soit $d$ la dimension, et $p_1,\\dots, p_d$ les $d$ premiers nombres\n",
    "premiers.\n",
    "\n",
    "La suite de Halton en dimension $d \\ge 2$ est définie à partir des\n",
    "suites de Van der Corput dans les différentes bases $p_1, \\dots, p_d$\n",
    "\n",
    "**Discrépance:**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "id": "9f0fdfd1",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-01-08T17:03:56.345166Z",
     "iopub.status.busy": "2026-01-08T17:03:56.345105Z",
     "iopub.status.idle": "2026-01-08T17:03:56.346810Z",
     "shell.execute_reply": "2026-01-08T17:03:56.346528Z"
    }
   },
   "outputs": [],
   "source": [
    "def halton(n: int = 10, d: int = 2):\n",
    "    \"\"\" Halton sequence in dimension d from 0 to n. \"\"\"\n",
    "    \"\"\" Warning: only for d < 25\"\"\"\n",
    "    primes = [2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, \n",
    "              43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97]\n",
    "    result = [ van_der_corput(n, primes[k]) for k in range(d) ]\n",
    "    return np.array(result).T"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "id": "734b408f",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-01-08T17:03:56.347709Z",
     "iopub.status.busy": "2026-01-08T17:03:56.347660Z",
     "iopub.status.idle": "2026-01-08T17:03:56.349537Z",
     "shell.execute_reply": "2026-01-08T17:03:56.349204Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[0.        , 0.        , 0.        , 0.        , 0.        ],\n",
       "       [0.5       , 0.33333333, 0.2       , 0.14285714, 0.09090909],\n",
       "       [0.25      , 0.66666667, 0.4       , 0.28571429, 0.18181818],\n",
       "       [0.75      , 0.11111111, 0.6       , 0.42857143, 0.27272727],\n",
       "       [0.125     , 0.44444444, 0.8       , 0.57142857, 0.36363636],\n",
       "       [0.625     , 0.77777778, 0.04      , 0.71428571, 0.45454545],\n",
       "       [0.375     , 0.22222222, 0.24      , 0.85714286, 0.54545455]])"
      ]
     },
     "execution_count": 33,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "halton(n=7, d=5)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "82eaf295-3ba0-4a7a-a7a1-76977d7f38ec",
   "metadata": {},
   "source": [
    "#### Représentation graphique\n",
    "\n",
    "Attention pour la suite de Halton ainsi construite on a un effet\n",
    "indésirable qui apparaît lorsque la dimension augmente."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "id": "842f8158",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-01-08T17:03:56.350405Z",
     "iopub.status.busy": "2026-01-08T17:03:56.350346Z",
     "iopub.status.idle": "2026-01-08T17:03:56.352220Z",
     "shell.execute_reply": "2026-01-08T17:03:56.351811Z"
    }
   },
   "outputs": [],
   "source": [
    "sample = halton(n = 1000, d=20)     # faire avec n = 5000..."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "id": "3a25df25",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-01-08T17:03:56.353023Z",
     "iopub.status.busy": "2026-01-08T17:03:56.352961Z",
     "iopub.status.idle": "2026-01-08T17:03:56.423416Z",
     "shell.execute_reply": "2026-01-08T17:03:56.423082Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x450 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, (ax1, ax2) = plt.subplots(nrows=1, ncols=2, figsize=(8, 4.5), layout='tight')\n",
    "ax1.scatter(sample[:,0], sample[:,1], s=10, marker='o', alpha=0.5)\n",
    "ax1.set_title(\"The first two dimensions: p=2, p=3\")\n",
    "ax2.scatter(sample[:,-2], sample[:,-1], s=10, marker='o', alpha=0.5) \n",
    "ax2.set_title(\"The last two dimensions: p=67, p=71\")\n",
    "fig.suptitle(\"The first 1000 points of the Halton sequence in dimension 20\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "35594e78-6b79-438a-b6c9-83bf8c4b4c5c",
   "metadata": {},
   "source": [
    "#### Utilisation de `scipy`\n",
    "\n",
    "Dans le sous-module `qmc` du module `stats` de `scipy` vous trouvez de\n",
    "nombreux algorithmes pour le Quasi-Monte Carlo. En particulier il y a\n",
    "une classe `Halton` pour générer une suite de `Halton`. Le constructeur\n",
    "demande la dimension du problème `d`. Lorsque l’objet est créé, la\n",
    "méthode `random` prend un argument `n` et renvoie les `n` prochaines\n",
    "valeurs de la suite de Halton.\n",
    "\n",
    "Pour plus d’information il faut consulter la page d’aide:\n",
    "`?stats.qmc.Halton`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "id": "0fe364b3",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-01-08T17:03:56.424413Z",
     "iopub.status.busy": "2026-01-08T17:03:56.424346Z",
     "iopub.status.idle": "2026-01-08T17:03:56.426322Z",
     "shell.execute_reply": "2026-01-08T17:03:56.426068Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[0.        , 0.        , 0.        , 0.        , 0.        ],\n",
       "       [0.5       , 0.33333333, 0.2       , 0.14285714, 0.09090909],\n",
       "       [0.25      , 0.66666667, 0.4       , 0.28571429, 0.18181818],\n",
       "       [0.75      , 0.11111111, 0.6       , 0.42857143, 0.27272727],\n",
       "       [0.125     , 0.44444444, 0.8       , 0.57142857, 0.36363636],\n",
       "       [0.625     , 0.77777778, 0.04      , 0.71428571, 0.45454545],\n",
       "       [0.375     , 0.22222222, 0.24      , 0.85714286, 0.54545455]])"
      ]
     },
     "execution_count": 36,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "halt = stats.qmc.Halton(d=5, scramble=False) \n",
    "# on discute de l'option `scramble` dans la section suivante\n",
    "halt.random(n = 7)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "24e49203-bd92-4eab-adb4-5f3a4cfedf5f",
   "metadata": {},
   "source": [
    "> **Warning**\n",
    ">\n",
    "> Le nom de la méthode `random` est très mal choisi: ce n’est pas\n",
    "> aléatoire, mais on comprend que cet appel renvoie les `n=7` premières\n",
    "> itérations de la suite, avec modification de l’état interne. Si on\n",
    "> appel de nouveau la méthode `random` sur l’objet `halt` on obtient les\n",
    "> itérations suivantes.\n",
    "\n",
    "> **Note**\n",
    ">\n",
    "> On peut vérifier que les 2 algorithmes déterministes (le notre et\n",
    "> celui de `scipy`) construisent la même suite par exemple en calculant\n",
    "> l’erreur $\\ell^1$ totale (qui ne contient que la somme des erreurs\n",
    "> d’arrondies):\n",
    ">\n",
    "> ``` python\n",
    "> halt = stats.qmc.Halton(d=5, scramble=False)\n",
    "> n = int(1e6)\n",
    "> np.sum(np.abs(halt.random(n) - halton(n, d=5)))\n",
    "> ```\n",
    ">\n",
    ">     5.3544276098166554e-11\n",
    "\n",
    "#### Perturbation\n",
    "\n",
    "Pour atténuer l’effet de ligne en grande dimension qui est du à la trop\n",
    "grande régularité dans la construction des suites de Van der Corput on\n",
    "peut “agiter” un peu cette construction. Plus précisément on perturbe la\n",
    "construction en considérant une permutation des coefficients\n",
    "apparaissant dans la décomposition p-adique.\n",
    "\n",
    "L’algorithme de perturbation implémenté via l’option `scramble` est issu\n",
    "de l’article [A randomized Halton algorithm in\n",
    "R](https://arxiv.org/pdf/1706.02808.pdf)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "id": "a65d65e6",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-01-08T17:03:56.427283Z",
     "iopub.status.busy": "2026-01-08T17:03:56.427235Z",
     "iopub.status.idle": "2026-01-08T17:03:56.429564Z",
     "shell.execute_reply": "2026-01-08T17:03:56.429169Z"
    }
   },
   "outputs": [],
   "source": [
    "halt = stats.qmc.Halton(d=20, scramble=True)\n",
    "sample = halt.random(n=1000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "id": "1eb7c810",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-01-08T17:03:56.430434Z",
     "iopub.status.busy": "2026-01-08T17:03:56.430386Z",
     "iopub.status.idle": "2026-01-08T17:03:56.495743Z",
     "shell.execute_reply": "2026-01-08T17:03:56.495369Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "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.scatter(sample[:,0], sample[:,1], s=10, marker='o', alpha=0.5)\n",
    "ax1.set_title(\"The first two dimensions: p=2, p=3\")\n",
    "ax2.scatter(sample[:,-2], sample[:,-1], s=10, marker='o', alpha=0.5) \n",
    "ax2.set_title(\"The last two dimensions: p=67, p=71\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0ae42c0a-2d55-4325-9533-507d10f1698a",
   "metadata": {},
   "source": [
    "#### Retour sur Van der Corput et on l’agite!\n",
    "\n",
    "On revient sur le code précédent et on applique cette idée de\n",
    "permutation des coefficients. Dans notre approche, cela se fait en\n",
    "utilisant la fonction `rng.shuffle` qui applique une permutation\n",
    "aléatoire aux coefficients `coeffs`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "id": "816138e3",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-01-08T17:03:56.496624Z",
     "iopub.status.busy": "2026-01-08T17:03:56.496574Z",
     "iopub.status.idle": "2026-01-08T17:03:56.498592Z",
     "shell.execute_reply": "2026-01-08T17:03:56.498247Z"
    }
   },
   "outputs": [],
   "source": [
    "def van_der_corput_r(r: int, p: int, scramble: bool=True):\n",
    "    \"\"\" Produce the Van der Corput sequence from 0 to p**r-1 (with scramble option). \"\"\"\n",
    "    coeffs = np.arange(p)[np.newaxis]\n",
    "    if scramble: \n",
    "        rng.shuffle(coeffs, axis=1)\n",
    "    seq = coeffs / p\n",
    "    for k in range(2, r+1):\n",
    "        if scramble: \n",
    "            rng.shuffle(coeffs, axis=1)\n",
    "        seq = (seq + coeffs.T/p**k).reshape((1, -1))\n",
    "    seq = seq.flatten()\n",
    "    return seq\n",
    "\n",
    "def van_der_corput(n: int, p: int, scramble: bool=True):\n",
    "    \"\"\" Produce the Van der Corput sequence from 0 to n (with scramble option). \"\"\"\n",
    "    r = math.ceil(math.log(n) / math.log(p))\n",
    "    seq = van_der_corput_r(r, p, scramble)\n",
    "    return seq[:n]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "id": "91cc7d49",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-01-08T17:03:56.499314Z",
     "iopub.status.busy": "2026-01-08T17:03:56.499269Z",
     "iopub.status.idle": "2026-01-08T17:03:56.604169Z",
     "shell.execute_reply": "2026-01-08T17:03:56.603767Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x600 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "n = 150\n",
    "fig, axs = plt.subplots(nrows=2, ncols=2, figsize=(8, 6), \n",
    "                        sharex=True, sharey=True, layout='tight')\n",
    "for ax, p in zip(axs.flat, [2, 3, 5, 7]): \n",
    "    xi_n = van_der_corput(n, p)\n",
    "    ax.scatter(np.arange(n), xi_n, s=10, marker='X', alpha=0.5)\n",
    "    ax.set_title(f\"base p = {p}\")\n",
    "fig.suptitle(f\"The first {n} iterations of the randomly permuted VdC sequence.\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "id": "f7b15634",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-01-08T17:03:56.605092Z",
     "iopub.status.busy": "2026-01-08T17:03:56.605040Z",
     "iopub.status.idle": "2026-01-08T17:03:56.607412Z",
     "shell.execute_reply": "2026-01-08T17:03:56.607036Z"
    }
   },
   "outputs": [],
   "source": [
    "sample = halton(n = 1000, d=20)     # faire avec n = 5000..."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "id": "6ae68fd4",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-01-08T17:03:56.608233Z",
     "iopub.status.busy": "2026-01-08T17:03:56.608184Z",
     "iopub.status.idle": "2026-01-08T17:03:56.677234Z",
     "shell.execute_reply": "2026-01-08T17:03:56.676899Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x450 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, (ax1, ax2) = plt.subplots(nrows=1, ncols=2, figsize=(8, 4.5), layout='tight')\n",
    "ax1.scatter(sample[:,0], sample[:,1], s=10, marker='o', alpha=0.5)\n",
    "ax1.set_title(\"The first two dimensions: p=2, p=3\")\n",
    "ax2.scatter(sample[:,-2], sample[:,-1], s=10, marker='o', alpha=0.5) \n",
    "ax2.set_title(\"The last two dimensions: p=67, p=71\")\n",
    "fig.suptitle(\"The first 1000 points of the scrambled Halton sequence in dimension 20\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f3a02051-3424-4fa6-bff0-b4ba71180128",
   "metadata": {},
   "source": [
    "#### Allons voir le code utilisé dans `scipy`: `cython` inside\n",
    "\n",
    "Si on cherche dans les sources de `scipy` on trouve à la ligne 373 du\n",
    "[fichier sur\n",
    "github](https://github.com/scipy/scipy/blob/de80faf9d3480b9dbb9b888568b64499e0e70c19/scipy/stats/_qmc_cy.pyx#L373)\n",
    "la définition de la fonction `_cy_van_der_corput_threaded_loop`. En fait\n",
    "ce n’est pas une fonction écrite en `python` mais en `cython`. Le\n",
    "langage `cython` permet d’écrire des fonctions `C` qui seront compilés\n",
    "et utilisables facilement en `python`. C’est une des approches pour\n",
    "interfacer le `C` et le `python`.\n",
    "\n",
    "Vous pouvez voir plus de détails sur la [page de\n",
    "tutoriel](https://cython.readthedocs.io/en/stable/src/tutorial/cython_tutorial.html).\n",
    "\n",
    "> **Note**\n",
    ">\n",
    "> On peut comparer les temps de simulation entre le code `cython` de\n",
    "> `scipy` et notre code maison en `numpy`. Notre implémentation est plus\n",
    "> efficace.\n",
    ">\n",
    "> ``` python\n",
    "> n = int(1e6)\n",
    "> halt = stats.qmc.Halton(d=5)\n",
    "> %timeit -o halton(d=5, n=n)    # version optimisée en numpy\n",
    "> %timeit -o halt.random(n=n)    # version scipy (cython)\n",
    "> ```\n",
    ">\n",
    ">     17.2 ms ± 108 μs per loop (mean ± std. dev. of 7 runs, 100 loops each)\n",
    ">     163 ms ± 854 μs per loop (mean ± std. dev. of 7 runs, 10 loops each)\n",
    ">\n",
    ">     <TimeitResult : 163 ms ± 854 μs per loop (mean ± std. dev. of 7 runs, 10 loops each)>\n",
    ">\n",
    "> **A retenir:** Un compilateur peut vous faire gagner un facteur 10 ou\n",
    "> 100, mais c’est aussi le cas pour un changement d’algorithme!\n",
    "\n",
    "### Suite de Sobol\n",
    "\n",
    "L’algorithme le plus populaire pour les suites à discrépances faible. La\n",
    "génération d’une suite de Sobol est très rapide car toute l’arithmétique\n",
    "se fait en base `2` (à la différence de la suite de Halton). De plus la\n",
    "représentation binaire d’un entier `n` peut se faire en utilisant le\n",
    "[code de Gray](https://en.wikipedia.org/wiki/Gray_code) qui permet\n",
    "d’avoir la modification d’un seul bit entre 2 entiers consécutifs.\n",
    "\n",
    "L’algorithme de Sobol dépend de paramètres à définir (un peu comme les\n",
    "paramètres d’un générateur de nombres pseudo-aléatoires). Il est très\n",
    "important de bien initialiser ces paramètres (les directions).\n",
    "\n",
    "On recommande d’utiliser uniquement des algorithmes déjà codés, testés\n",
    "et éprouvés! Il ne faut pas recoder son prore algorithme qui sera\n",
    "peut-être invalide.\n",
    "\n",
    "#### Utilisation de `scipy`\n",
    "\n",
    "La classe `Sobol` du module `stats.qmc` s’utilise de la même façon que\n",
    "la classe `Halton`. On peut voir que l’algorithme est très rapide. Le\n",
    "warning indique qu’il vaut mieux travailler avec $n$ qui est une\n",
    "puissance de 2."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "id": "29d53c81",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-01-08T17:03:56.678117Z",
     "iopub.status.busy": "2026-01-08T17:03:56.678055Z",
     "iopub.status.idle": "2026-01-08T17:03:56.682736Z",
     "shell.execute_reply": "2026-01-08T17:03:56.682412Z"
    }
   },
   "outputs": [],
   "source": [
    "from scipy import stats\n",
    "Sob = stats.qmc.Sobol(5, scramble=False)\n",
    "nbig = int(1e6)\n",
    "#%timeit Sob.random(nbig)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "id": "7c2287bc",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-01-08T17:03:56.683608Z",
     "iopub.status.busy": "2026-01-08T17:03:56.683560Z",
     "iopub.status.idle": "2026-01-08T17:03:56.685123Z",
     "shell.execute_reply": "2026-01-08T17:03:56.684790Z"
    }
   },
   "outputs": [],
   "source": [
    "n, d = 2**10, 20\n",
    "sob = stats.qmc.Sobol(d=d, scramble=False)\n",
    "sample = sob.random(n=n)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "id": "bcd39c23",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-01-08T17:03:56.685891Z",
     "iopub.status.busy": "2026-01-08T17:03:56.685847Z",
     "iopub.status.idle": "2026-01-08T17:03:56.765374Z",
     "shell.execute_reply": "2026-01-08T17:03:56.765004Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x450 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, (ax1, ax2) = plt.subplots(nrows=1, ncols=2, figsize=(8, 4.5), layout='tight')\n",
    "ax1.scatter(sample[:,0], sample[:,1], s=10, marker='o', alpha=0.5)\n",
    "ax1.set_title(\"The first two dimensions\")\n",
    "ax2.scatter(sample[:,-2], sample[:,-1], s=10, marker='o', alpha=0.5) \n",
    "ax2.set_title(\"The last two dimensions\")\n",
    "fig.suptitle(f\"The first {n} iterations of the Sobol sequence in dimension {d}.\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "54f2148b-1a41-42df-9aef-1e39e60f3a8c",
   "metadata": {},
   "source": [
    "La même chose avec la version pertubée (option `scramble=True` activée\n",
    "par défaut)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "id": "a77aaf53",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-01-08T17:03:56.766292Z",
     "iopub.status.busy": "2026-01-08T17:03:56.766240Z",
     "iopub.status.idle": "2026-01-08T17:03:56.768355Z",
     "shell.execute_reply": "2026-01-08T17:03:56.768016Z"
    }
   },
   "outputs": [],
   "source": [
    "n, d = 2**10, 20\n",
    "sob = stats.qmc.Sobol(d=d, scramble=True)\n",
    "sample = sob.random(n=n)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "id": "208fce4a",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-01-08T17:03:56.769171Z",
     "iopub.status.busy": "2026-01-08T17:03:56.769126Z",
     "iopub.status.idle": "2026-01-08T17:03:56.836529Z",
     "shell.execute_reply": "2026-01-08T17:03:56.836185Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x450 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, (ax1, ax2) = plt.subplots(nrows=1, ncols=2, figsize=(8, 4.5), layout='tight')\n",
    "ax1.scatter(sample[:,0], sample[:,1], s=10, marker='o', alpha=0.5)\n",
    "ax1.set_title(\"The first two dimensions\")\n",
    "ax2.scatter(sample[:,-2], sample[:,-1], s=10, marker='o', alpha=0.5) \n",
    "ax2.set_title(\"The last two dimensions\")\n",
    "fig.suptitle(f\"The first {n} iterations of the scrambled Sobol sequence in dimension {d}.\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "17b68a05-fe6d-47fd-bdb3-f898a9fe80f1",
   "metadata": {},
   "source": [
    "## Intégration code C++ via `pybind11`\n",
    "\n",
    "On a vu précédemment qu’il est possible d’écrire un code très proche du\n",
    "`python` qui sera compilé pour de meilleures performances: c’est le\n",
    "langage `cython`.\n",
    "\n",
    "Une autre approche vient du projet `pybind11`. Imaginons qu’on dispose\n",
    "d’un code `C++`, une librairie écrite et optimisée en `C++`. Le projet\n",
    "`pybind11` permet d’écrire assez facilement un module `python` qui\n",
    "permet d’accéder à ce code `C++`.\n",
    "\n",
    "Nous allons illustrer l’utilisation de `pybind11` pour interfacer\n",
    "(utiliser) la fonction `sobol` de la Gnu Scientific Library (code `C`\n",
    "orienté objet) dans un code `python`. Voici les différentes étapes:\n",
    "\n",
    "-   Comprendre la documentation de la section Quasi-Monte Carlo de la\n",
    "    `GSL`\n",
    "-   Encapsuler ce code `C` dans un code objet `C++` (pas obligatoire,\n",
    "    mais permet de faire des rappels de `C++`)\n",
    "-   Utiliser `pybind11` pour accéder à ce code `C++`\n",
    "\n",
    "> **Note**\n",
    ">\n",
    "> Tout le code (que l’on va détailler) se trouve dans le répertoire\n",
    "> `sobol_module`:\n",
    ">\n",
    ">     sobol_module\n",
    ">     ├── CMakeLists.txt\n",
    ">     ├── include\n",
    ">     │   └── sobol.hpp\n",
    ">     ├── python\n",
    ">     │   └── module.cpp\n",
    ">     └── src\n",
    ">         └── test.cpp\n",
    ">\n",
    "> -   le fichier `include/sobol.hpp` contient le code de la “librairie”\n",
    ">     `C++`\n",
    "> -   le fichier `src/test.cpp` contient un code `C++` pour tester la\n",
    ">     “librairie” `C++`\n",
    "> -   le fichier `python/module.cpp` contient le code `C++` pour\n",
    ">     interfacer le `C++` en `python` via `pybind11`.\n",
    "\n",
    "### Création d’une interface `C++`\n",
    "\n",
    "Voici un code possible pour créer une classe `sobol` qui **encapsule**\n",
    "le code `C` de la `GSL`. On détaille le rôle des constructeurs, du\n",
    "destructeur, des opérateurs d’affectation et des 2 méthodes:\n",
    "\n",
    "-   la surcharge de l’opérateur fonctionnel `operator()`\n",
    "-   la méthode `get`\n",
    "\n",
    "``` cpp\n",
    "#pragma once\n",
    "\n",
    "#include <vector>\n",
    "#include <gsl/gsl_qrng.h>\n",
    "\n",
    "class sobol {\n",
    "    public:\n",
    "        sobol(int dimension) : dimension(dimension) {\n",
    "            q = gsl_qrng_alloc(gsl_qrng_sobol, dimension); }\n",
    "        sobol(sobol const & o) : dimension(o.dimension) {\n",
    "            q = gsl_qrng_clone(o.q); }\n",
    "        sobol(sobol && o) = default;\n",
    "        sobol & operator=(sobol const & o);\n",
    "        sobol & operator=(sobol && o) = default;\n",
    "        ~sobol() { gsl_qrng_free(q); }\n",
    "\n",
    "        auto operator()();\n",
    "        void get(double * data) { gsl_qrng_get(q, data); }\n",
    "\n",
    "    private:\n",
    "        int dimension;\n",
    "        gsl_qrng * q;\n",
    "};\n",
    "\n",
    "sobol & sobol::operator=(sobol const & o) {\n",
    "    if (this != &o) {\n",
    "        dimension = o.dimension;\n",
    "        gsl_qrng_memcpy(q, o.q);\n",
    "    }\n",
    "    return *this;\n",
    "};\n",
    "\n",
    "auto sobol::operator()() {\n",
    "    std::vector<double> result(this->dimension);\n",
    "    gsl_qrng_get(q, &(*result.begin()));\n",
    "    return result;\n",
    "};\n",
    "```\n",
    "\n",
    "Voici un exemple d’utilisation de cette classe. Le fichier\n",
    "`src/test.cpp` doit être compilé sans erreur.\n",
    "\n",
    "``` cpp\n",
    "#include <iostream>\n",
    "#include \"sobol.hpp\"\n",
    "\n",
    "using namespace std;\n",
    "int main() {\n",
    "    int d = 2;\n",
    "    sobol S(d);\n",
    "\n",
    "    for (int n = 0; n < 1e2; ++n) {\n",
    "        auto xi_n = S();\n",
    "        cout << n << \":\\t\" << xi_n[0] << \"\\t\" << xi_n[1] << endl;\n",
    "    }\n",
    "\n",
    "    return 0;\n",
    "}\n",
    "```\n",
    "\n",
    "Pour compiler ce code (via `cmake` et `make`) on peut utiliser le\n",
    "fichier `CMakeLists.txt` suivant:\n",
    "\n",
    "``` cmake\n",
    "cmake_minimum_required(VERSION 3.9)\n",
    "set(CMAKE_VERBOSE_MAKEFILE ON)\n",
    "\n",
    "project(sobol_module LANGUAGES CXX)\n",
    "\n",
    "set(CMAKE_CXX_STANDARD 17)\n",
    "set(CMAKE_CXX_STANDARD_REQUIRED ON)\n",
    "set(CMAKE_CXX_EXTENSIONS OFF)\n",
    "set(CMAKE_CXX_FLAGS \"${CMAKE_CXX_FLAGS} -Wall -Os -ffast-math\")\n",
    "set(CMAKE_MODULE_LINKER_FLAGS \"-Wl,-w\")\n",
    "\n",
    "include_directories(\"${CMAKE_SOURCE_DIR}/include\")\n",
    "\n",
    "find_package(GSL REQUIRED)\n",
    "include_directories(${GSL_INCLUDE_DIRS} ${GSLCBLAS_INCLUDE_DIRS})\n",
    "set(LIBS ${LIBS} ${GSL_LIBRARIES} ${GSLCBLAS_LIBRARIES})\n",
    "\n",
    "add_executable(sobol_test src/test.cpp)\n",
    "target_link_libraries(sobol_test ${LIBS})\n",
    "```\n",
    "\n",
    "L’outil [cmake](https://cmake.org/) est utilisé pour produire un fichier\n",
    "`Makefile` compatible avec l’OS et l’environnement installé. Le fichier\n",
    "`Makefile` étant produit, on utiliser l’outil `make` pour effectivement\n",
    "compiler le code (avec les bonnes librairies). Les étapes usuelles sont:\n",
    "\n",
    "``` {bash}\n",
    "mkdir build    # on crée le répertoire vide (contenu de la compilation)\n",
    "cd build       \n",
    "cmake ..       # on appelle cmake sur `CMakeLists.txt` du répertoire père\n",
    "make           # on appelle make pour la compilation \n",
    "```\n",
    "\n",
    "Pour garder que les sources, on détruit le répertoire `build` (dont le\n",
    "contenu est propre à chaque environnement/ordinateur).\n",
    "\n",
    "### Intégration via `pybind11`\n",
    "\n",
    "On consulte la [documentation de ce\n",
    "module](https://pybind11.readthedocs.io/en/stable/basics.html). Un\n",
    "premier exemple est donné ci-dessous:\n",
    "\n",
    "``` {cpp}\n",
    "#include <pybind11/pybind11.h>\n",
    "\n",
    "int add(int i, int j) {\n",
    "    return i + j;\n",
    "}\n",
    "\n",
    "PYBIND11_MODULE(example, m) {\n",
    "    m.doc() = \"pybind11 example plugin\"; // optional module docstring\n",
    "\n",
    "    m.def(\"add\", &add, \"A function which adds two numbers\",\n",
    "      py::arg(\"i\"), py::arg(\"j\"));\n",
    "}\n",
    "```\n",
    "\n",
    "Le code `PYBIND11_MODULE` est une macro `C/C++` qui permet la création\n",
    "d’un module `python` dont le nom est `example` et le contenu est `m`\n",
    "(`m` est un objet dont on va définir des méthodes). Dans l’exemple\n",
    "précédent `m.doc()` permet de définir une documentation et `m.def`\n",
    "ajoute dans le module python une fonction `add` dont le code de la\n",
    "fonction `C++` se trouve à l’adresse `&add`.\n",
    "\n",
    "Ici on va utiliser un code un peu plus riche et on fait appel à\n",
    "`pybind11/numpy.h` pour manipuler des array numpy dans notre code `C++`.\n",
    "Pour plus d’information voir la\n",
    "[documentation](https://pybind11.readthedocs.io/en/stable/advanced/pycpp/numpy.html#vectorizing-functions).\n",
    "\n",
    "Le module créé s’appelle `sobol_module`. Dans ce module se trouve une\n",
    "fonction `sobol` et le code est donné par une *lambda function* qui\n",
    "prend 2 arguments `n` et `dim` et renvoie un array de dimension\n",
    "`(n, dim)` qui contient les `n` premiers termes de la suite de Sobol en\n",
    "dimension `dim`.\n",
    "\n",
    "``` cpp\n",
    "#include <pybind11/pybind11.h>\n",
    "#include <pybind11/numpy.h>\n",
    "#include <pybind11/stl.h>\n",
    "#include \"sobol.hpp\"\n",
    "\n",
    "namespace py = pybind11;\n",
    "\n",
    "PYBIND11_MODULE(sobol_module, m) {\n",
    "    m.doc() = \"Sobol GSL module integrated via pybind11\"; \n",
    "    m.def(\"sobol\", [](int n, int dim) {\n",
    "        sobol S(dim);\n",
    "        auto result = py::array_t<double>(n * dim).reshape({ n, dim });\n",
    "        auto buf = result.request();\n",
    "        double * ptr = static_cast<double*>(buf.ptr);\n",
    "        for (int k = 0; k < n; ++k) {\n",
    "            S.get(ptr);\n",
    "            ptr += dim;\n",
    "        }\n",
    "        return result;\n",
    "    });\n",
    "}\n",
    "```\n",
    "\n",
    "> **Note**\n",
    ">\n",
    "> Pour la compilation il suffit de modifier le fichier `CMakeLists` et\n",
    "> d’ajouter les lignes suivantes (on suppose que `pybind11` est bien\n",
    "> installé).\n",
    ">\n",
    "> ``` cmake\n",
    "> find_package(Python 3.11 EXACT COMPONENTS Interpreter Development)\n",
    "> find_package(pybind11 CONFIG REQUIRED)\n",
    "> pybind11_add_module(sobol_module python/module.cpp) \n",
    "> target_link_libraries(sobol_module PUBLIC GSL::gsl GSL::gslcblas)\n",
    "> ```\n",
    "\n",
    "Dans le répertoire `sobol_module` se trouve maintenant le\n",
    "sous-répertoire `build` qui contient\n",
    "`sobol_module.cpython-311-darwin.so` une librairie (module) qui peut\n",
    "être chargé pour utilisé la fonction `sobol`. Un appel possible est le\n",
    "suivant"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "id": "87fcc52f",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-01-08T17:03:56.837462Z",
     "iopub.status.busy": "2026-01-08T17:03:56.837411Z",
     "iopub.status.idle": "2026-01-08T17:03:56.842569Z",
     "shell.execute_reply": "2026-01-08T17:03:56.842233Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[WinError 3] The system cannot find the path specified: 'sobol_module/build/'\n",
      "c:\\Users\\lione\\OneDrive\\Documents\\PROJET_EL_KAROUI\\EL_KAROUI\\NUMERICAL_METHOD\\TPs\\tp7_qmc\n"
     ]
    },
    {
     "ename": "ModuleNotFoundError",
     "evalue": "No module named 'sobol_module'",
     "output_type": "error",
     "traceback": [
      "\u001b[31m---------------------------------------------------------------------------\u001b[39m",
      "\u001b[31mModuleNotFoundError\u001b[39m                       Traceback (most recent call last)",
      "\u001b[36mCell\u001b[39m\u001b[36m \u001b[39m\u001b[32mIn[48]\u001b[39m\u001b[32m, line 2\u001b[39m\n\u001b[32m      1\u001b[39m get_ipython().run_line_magic(\u001b[33m'\u001b[39m\u001b[33mcd\u001b[39m\u001b[33m'\u001b[39m, \u001b[33m'\u001b[39m\u001b[33msobol_module/build/\u001b[39m\u001b[33m'\u001b[39m)\n\u001b[32m----> \u001b[39m\u001b[32m2\u001b[39m \u001b[38;5;28;01mfrom\u001b[39;00m\u001b[38;5;250m \u001b[39m\u001b[34;01msobol_module\u001b[39;00m\u001b[38;5;250m \u001b[39m\u001b[38;5;28;01mimport\u001b[39;00m sobol \n",
      "\u001b[31mModuleNotFoundError\u001b[39m: No module named 'sobol_module'"
     ]
    }
   ],
   "source": [
    "%cd sobol_module/build/\n",
    "from sobol_module import sobol "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "f44094e2",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-01-08T17:03:56.843432Z",
     "iopub.status.busy": "2026-01-08T17:03:56.843387Z",
     "iopub.status.idle": "2026-01-08T17:03:56.845270Z",
     "shell.execute_reply": "2026-01-08T17:03:56.844905Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[0.5    , 0.5    , 0.5    , 0.5    , 0.5    ],\n",
       "       [0.75   , 0.25   , 0.75   , 0.25   , 0.75   ],\n",
       "       [0.25   , 0.75   , 0.25   , 0.75   , 0.25   ],\n",
       "       [0.375  , 0.375  , 0.625  , 0.125  , 0.875  ],\n",
       "       [0.875  , 0.875  , 0.125  , 0.625  , 0.375  ],\n",
       "       [0.625  , 0.125  , 0.375  , 0.375  , 0.125  ],\n",
       "       [0.125  , 0.625  , 0.875  , 0.875  , 0.625  ],\n",
       "       [0.1875 , 0.3125 , 0.3125 , 0.6875 , 0.5625 ],\n",
       "       [0.6875 , 0.8125 , 0.8125 , 0.1875 , 0.0625 ],\n",
       "       [0.9375 , 0.0625 , 0.5625 , 0.9375 , 0.3125 ],\n",
       "       [0.4375 , 0.5625 , 0.0625 , 0.4375 , 0.8125 ],\n",
       "       [0.3125 , 0.1875 , 0.9375 , 0.5625 , 0.4375 ],\n",
       "       [0.8125 , 0.6875 , 0.4375 , 0.0625 , 0.9375 ],\n",
       "       [0.5625 , 0.4375 , 0.1875 , 0.8125 , 0.6875 ],\n",
       "       [0.0625 , 0.9375 , 0.6875 , 0.3125 , 0.1875 ],\n",
       "       [0.09375, 0.46875, 0.84375, 0.40625, 0.28125],\n",
       "       [0.59375, 0.96875, 0.34375, 0.90625, 0.78125],\n",
       "       [0.84375, 0.21875, 0.09375, 0.15625, 0.53125],\n",
       "       [0.34375, 0.71875, 0.59375, 0.65625, 0.03125],\n",
       "       [0.46875, 0.09375, 0.46875, 0.28125, 0.65625]])"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sobol(20, 5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "426c01e3",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-01-08T17:03:56.845999Z",
     "iopub.status.busy": "2026-01-08T17:03:56.845955Z",
     "iopub.status.idle": "2026-01-08T17:03:59.390121Z",
     "shell.execute_reply": "2026-01-08T17:03:59.389737Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "3.13 ms ± 31.9 μs per loop (mean ± std. dev. of 7 runs, 100 loops each)\n"
     ]
    }
   ],
   "source": [
    "%timeit sobol(1000000, 5)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "908c7c48-aaac-401c-92a7-54749c25c025",
   "metadata": {},
   "source": [
    "> **Warning**\n",
    ">\n",
    "> Pour aller plus loin, il est possible d’intégrer une classe `C++` en\n",
    "> `python` via `pybind11`. Lire la\n",
    "> [documentation](https://pybind11.readthedocs.io/en/stable/classes.html)\n",
    "> et appliquer à la classe `sobol` du fichier `include/sobol.hpp`.\n",
    "\n",
    "## Application aux options basket\n",
    "\n",
    "On adapte le code de la séance précédente pour faire un code QMC et\n",
    "comparer avec le code MC."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "7d0d74d1-beda-47bf-a639-f686c3d3925e",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-01-08T17:03:59.391078Z",
     "iopub.status.busy": "2026-01-08T17:03:59.391027Z",
     "iopub.status.idle": "2026-01-08T17:04:00.117191Z",
     "shell.execute_reply": "2026-01-08T17:04:00.116814Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "/Users/lemaire/cloud/dropsu/cours/dufe/tp_qmc\n",
      "/Users/lemaire/cloud/dropsu/cours/dufe/tp_basket_pytorch\n"
     ]
    }
   ],
   "source": [
    "%cd ../..\n",
    "%cd ../tp_basket_pytorch\n",
    "%run tp_basket_pytorch_sujet.ipynb"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "a5b2b88a",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-01-08T17:04:00.118461Z",
     "iopub.status.busy": "2026-01-08T17:04:00.118396Z",
     "iopub.status.idle": "2026-01-08T17:04:00.120596Z",
     "shell.execute_reply": "2026-01-08T17:04:00.120227Z"
    }
   },
   "outputs": [],
   "source": [
    "def monte_carlo_by_steps(sampling_function: callable, \n",
    "                         steps: np.ndarray,\n",
    "                         proba: float = 0.95) -> dict:\n",
    "    \"\"\"\n",
    "    Effectue une estimation de Monte Carlo par étapes successives et calcule \n",
    "    les intervalles de confiance pour la moyenne à chaque étape.\n",
    "\n",
    "    Args:\n",
    "    - sampling_function (callable): Fonction qui génère des échantillons.\n",
    "    - steps (np.ndarray): Tableau des étapes successives.\n",
    "    - proba (float): Niveau de confiance pour les intervalles de confiance.\n",
    "\n",
    "    Returns:\n",
    "    - dict: Un dictionnaire contenant les moyennes, les variances et \n",
    "    les intervalles de confiance pour chaque étape.\n",
    "    \"\"\"\n",
    "    alpha = 1 - proba\n",
    "    quantile = sps.norm.ppf(1 - alpha / 2)\n",
    "\n",
    "    means = np.empty(len(steps))\n",
    "    variances = np.empty(len(steps)) \n",
    "    prev_step = 0\n",
    "    \n",
    "    sum_, sum2_ = 0.0, 0.0\n",
    "    for k, step in enumerate(steps):   \n",
    "        samples = sampling_function(steps[k] - prev_step)\n",
    "        sum_ += samples.sum()\n",
    "        sum2_ += (samples**2).sum()\n",
    "        \n",
    "        means[k] = sum_ / step\n",
    "        variances[k] = step / (step-1) * (sum2_ / step - means[k]**2)\n",
    "        prev_step = steps[k]\n",
    "\n",
    "    ci_sizes = 2 * quantile * np.sqrt(variances / steps)\n",
    "    return {\n",
    "        \"steps\": steps,\n",
    "        \"means\": means,\n",
    "        \"variances\": variances,\n",
    "        \"lowers\": means - ci_sizes,\n",
    "        \"uppers\": means + ci_sizes,\n",
    "    }"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "a5741cad",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-01-08T17:04:00.121465Z",
     "iopub.status.busy": "2026-01-08T17:04:00.121417Z",
     "iopub.status.idle": "2026-01-08T17:04:00.417128Z",
     "shell.execute_reply": "2026-01-08T17:04:00.416703Z"
    }
   },
   "outputs": [],
   "source": [
    "K = 100\n",
    "step_size = 100\n",
    "steps = step_size + np.arange(0, 500000, step_size)\n",
    "r_mc = monte_carlo_by_steps(\n",
    "    lambda size: sampling_payoffs(K, size, bs, rng), \n",
    "    steps)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "07ae8b28-d316-4d0c-b7e7-8c2b292099b2",
   "metadata": {},
   "source": [
    "> **Note**\n",
    ">\n",
    "> Il suffit ici de modifier la fonction `sampling_payoffs` en remplaçant\n",
    "> l’appel de\n",
    ">\n",
    "> ``` {default}\n",
    "> rng.standard_normal((size, bs[\"d\"]))\n",
    "> ```\n",
    ">\n",
    "> par\n",
    ">\n",
    "> ``` {default}\n",
    "> stats.norm.ppf(qmc_algo.random(size))\n",
    "> ```\n",
    ">\n",
    "> où `qmc_algo` code une suite à discrépance faible sur $(0,1)^d$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "a6b3b978",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-01-08T17:04:00.418188Z",
     "iopub.status.busy": "2026-01-08T17:04:00.418130Z",
     "iopub.status.idle": "2026-01-08T17:04:00.419671Z",
     "shell.execute_reply": "2026-01-08T17:04:00.419381Z"
    }
   },
   "outputs": [],
   "source": [
    "def qsampling_payoffs(K, size, bs, qmc_algo):\n",
    "    Gn = stats.norm.ppf(qmc_algo.random(size))\n",
    "    samples = phi(bs, Gn)\n",
    "    payoffs = np.maximum(np.mean(samples, axis=1)-K, 0.) \n",
    "    return bs[\"actualization\"] * payoffs"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "2856932d",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-01-08T17:04:00.420427Z",
     "iopub.status.busy": "2026-01-08T17:04:00.420380Z",
     "iopub.status.idle": "2026-01-08T17:04:00.423410Z",
     "shell.execute_reply": "2026-01-08T17:04:00.423075Z"
    }
   },
   "outputs": [],
   "source": [
    "qmc_algos = {\n",
    "    \"halton\": stats.qmc.Halton(d=d, scramble=False).fast_forward(1), \n",
    "    \"halton_scrambled\": stats.qmc.Halton(d=d, scramble=True).fast_forward(1), \n",
    "    \"sobol\": stats.qmc.Sobol(d=d, scramble=False).fast_forward(1),\n",
    "    \"sobol_scrambled\": stats.qmc.Sobol(d=d, scramble=True).fast_forward(1)\n",
    "}"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7cf288e4-abed-4a2c-843a-ed10b6c71f3c",
   "metadata": {},
   "source": [
    "> **Warning**\n",
    ">\n",
    "> On appelle la méthode `fast_forward(k)` pour démarrer à partir de\n",
    "> l’itération $k$. Ici on part à partir de l’itération $k=1$ pour\n",
    "> supprimer le point $0 \\in [0,1]^d$ qui pose problème lors de l’appel\n",
    "> de `stats.norm.ppf` !\n",
    ">\n",
    "> En pratique on remarque qu’on peut avoir une convergence plus rapide\n",
    "> pour Halton en supprimant les premières itérations."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "516aa035",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-01-08T17:04:00.424258Z",
     "iopub.status.busy": "2026-01-08T17:04:00.424210Z",
     "iopub.status.idle": "2026-01-08T17:04:03.124272Z",
     "shell.execute_reply": "2026-01-08T17:04:03.123927Z"
    }
   },
   "outputs": [],
   "source": [
    "r_qmc = { \n",
    "    name: monte_carlo_by_steps(\n",
    "        lambda size: qsampling_payoffs(K, size, bs, algo),\n",
    "        steps)\n",
    "    for name, algo in qmc_algos.items() \n",
    "}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "f02492e0",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-01-08T17:04:03.125389Z",
     "iopub.status.busy": "2026-01-08T17:04:03.125329Z",
     "iopub.status.idle": "2026-01-08T17:04:03.192407Z",
     "shell.execute_reply": "2026-01-08T17:04:03.192021Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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6detC165d4fXXX4d169ZZPSZBECWlUFCiFSt24CCEZVqxzB+/QRwqEdwARQnUBEEQZRXyxFXIw749oazhJ5bSRrmN1Za4BqAop7mqS+aaghJEiZSG8+fPg0KhgO3bt0PTpk0F60aOHAlvvfWW8A38/Ji3IDcXXWjS3LhxgykhixYtgoCAABPvRaNGjSAyEpM1dbRt25Yd7+LFi1DWaMnlTXg9GDurIzhYwQYhrkQrN/BwtcJxXUREMPuPrnFMyJMCy5PrlAxdgzl8YEdr8lwQrotIovAkwlcQ9uLBhp9YRpuDK9OKchrlNvaGwG1QDmNvH3PgdiijOfmO/7m+EoRvYPe3jXkK+JCiYcOGgteoLKxduxYaN24MMTExkvvgNm+88QYLQULlQMyDBw+gfPnygmUJCQns//37900UF4IgXOFtuGO2rjgOHHz4gwgm5CmVKtbtFMHu06hI4HIx/v5yNoBlZVkuBUsQBEFYA8OUqkiuQUMPvzQrGno4wsICmVGH60adnV3AevaEhASYKBR4HNwX5TrhG7hMRVSpVDB16lS4cuUKy38wx2effQaBgYEwevRoyfWYRB0RESFYhtsjRUVFDp+fOQuoJSjkgvBdsPAAegvRwxDMq95hvUERpzAg1hLzcFtHfpuO4IuhVJ7+me29NyjkgvDtMKUkfTntQF4fHzS6Ym6D+ekfpzCIFQpzkMz2HZntEqUBQ4cmTZoEx48fh6VLl0KTJk0kt8P1mNSMSdNyuXRyTlBQkEnuAqcshIToXGz2gu41KUsnQRCWwNJ+YjB2tqL+Of5OOUsUlgDEWNkKFo6HTY3i9M3pivSDW2Sp/zZtGRS9DU/8zI7IbfRcEYRve4n5zT9B7zXWdZU2GoTkegWjULRODCfj8/TyG59XIJntQzLb6UpDcnIy8xrcvXsXVq9eDa1atTK7LSoL+fn50KdPH8OygoICVsp1z549sGvXLhaadPnyZZP3QMqVK+fQOWo0WsjO5ndYtA2M4+ZatxMEIY6dRSuWnz52HB9Kkas8FlV9UdM5flMj4/b5+UUsH6qgwHXFDjjXOrrf1WrfaIRUks+M+5WltcsRuZ2TUwjRLjsjgvB0UvUymGsyxydDr0RUsNAo1CiftVotFBYWs1AmV8lTktmaMpfZTlUasrKyYPjw4czTgCFJ9erVs7j9lClTWKUlPtj3oXv37vDiiy+y16h0bNu2jR0zLExXqeXo0aMQGhoK9evXd/hcHemWKJWkSal1BIGWK04waSR6Pyj1y7GccrhIUeBjzGXgkvYwWTozM58NRK4CBzhf657qqZ/Z3nNWq0lCE4QpqACgAZTroaWR8ABjnoJW76mwXllJJpOxnIfgYDT+KiE31/HwcW+VX97wmZ2qNMyfPx9u374Nq1atYonP/J4L+BpDkDIzsfY7QFRUFMTGxrKH4IT8/VmlpEqVKrHXWGIV+0FguBMqGdjo7eOPP2aVmsSVlgiCKAtwQm9uUo9dpvlYSpjjBqjyJonVlpQGTNpTKHTb4LYoXLG0oKuVDYIgCM/FXNPdPJFhx9rkH0NRqwqWoPJgTWng8iBQ2UAZjhWdioqKITvbtmbAhIcrDdihGRu5YTUk9DaIOXDgAFSuXBnGjx/PXq9fv96m42LSMyoh2CBu0KBBTKEYMmQIjB071lmnThCE24ADTbI+WQ+7m0ayAQhDA3EwEbu9saIHP2mPDyoOaWm5LKyF8FXouycI1//GEnm5EDq5jUUvMDwQQ5b4oCxH2SxFYKACwsK0LvVSEGWoNCxYsMDwHL0IZ8+etbqPNWXh4MGDJsuqVasGX3/9Nbh9y1GCIJxAAS9+FkVUKCvHypV25cr7WavExIU35edTE0jClgALgiAch5PZmFQdaShEgI+cnAIoLFSx51wzOXPY4qUgyg7qykEQhBuD8bXCijnSysJtffUlP/32uoogOACR0kAgZN4hiNJAbfA2cISHB0N4uFQuXKg+7y1evwyVBWnPMeEeuEfhVw8mKQ9/HARBuNaCJVW5gxt4cJ1G3zeC616tKx+IxQtQyaCqZwRBEKVFpgWZnaZfh8pFtr7nDz7P0b/WGYZs8SQTpQ95GkrI7SxjsjdBEK4Ee0Jw8bFhequUONFZwxusMKFOVyI5OFgBubmUYOfL8D0N2YX5EBHkWJ8fgiBs5bY+MBDlNBauUZipnofGH9MgQgxlEudEEGULeRoIgvAQ+IMHdqe2NpigF9CoKISFkdvbl1UFvtKQozSW9yUIwlVoeIYdpYVy2/xfKXqLdXlo1JzR/SClgSAILyZJ73lQsfwGLO2HcP8J34H/lWspw4Eg3JQcfaPQNENiNOE+UHgSQRA+AFq7/Fl5VuyQGRBAoo8gCMJ9KTR4iIuLVRAdLSyIQZQN5GkgCMIHeGCwWpHC4KPIaLgjCM8Bqyrp+vKQwuA+kBQlCMJH4CdC61zfCHoevBX8bFznVZ9HYbk+PEEQ7lj8go+uf0NERDB4M4GB7usJp9GEIAgfIUWUSI1xs2C2o7Q3gA3x0EqHpWcJHtS0gSA8ALUoP+2B1xt6QkMDmFLkrmXCvffKEwRBSJZj5UqyKg0DUGRkMMhkMq9JkEYlgV8tiqqQCBUFSoQmCE+Bk9mFvERpY5NPbzKIBAUpICQk0FAm3B1xXx8IQRBEqXScjmN5DnFx2PsBQK3WQHq6sDSgQiFng1NxsRo0Gt3sExUM3K+oCGNvdeA2uFytLl1TdnR0COt8rVN6ZCZKAp4nrkPFiCAIwnPJQDMIe8ZvAJeSolMmODAsE+WdVgugUhk9FgEBclCpNAY5zsl3lO2lSUhIABsvlEo1O1d8BAYqTJQItbp0z8sapDQQBOHDoHKATb6Mjb7Q84Du4YICJRtgOMsPR1paLhtw4uKEHUtx0MHBB8nIyGMDU2mAXhJ/f7mZOF/szIqDY7TJ+foyOJEgCMIT0eqbxlURLEUFAht4otyNihI2buTksbjLNG7PhQFpNBpIS7PWR8I5yOUyQ1hssGR6hu7zuaOHmJQGgiB8HMx1qKb/j1ad8iwRzVwyWmysziMhhlMYEMwjQCUCFQ++J8IZoLPANgUAP0++/jnWOqeShQRBeANokMkDrRY9qA/08hvLs0pPss1VX+Jv7+enMxYh2dnOb/4YERFk4kmQJpGXw1EO3A1SGgiCIAyCmqvQESgaoDiLfayZ/arx4m3DDUqEQhHMvBLonbAVXYiTjCUxsyPmFEJQEIpqXXiUQuFnxmWfzRPrETyFgQvDSgWttgrIfLT0KDkXCMKbSOXloGGVpYom63VpuzGi5XdZOVetNg5kMk6ZwC7UMQZDEXok7PUW+/nJmNLBhTpptVom+zHsKC+vyIzCwB93YngyHPQ5HIn65dKGqrKAlAaCIAgBD3iKgEbvKuZQ6QeiCFE1JlQqovT/MwWucxxMcOCwNABZ8h7wXdR8b4aRZAAoEJ0jDoKEgIIcAH9ulkEqBEF4D8X6CTbK4EgAuMOrvITGE5ShwfqJuM7zK5Nh2e1QvbzOMVEuMOzTWrhSdHQICw0VI5bTkZHCcCmALP2Dj2fIbFIaCIIgJOFbgTi4Ch58K77UIICKhsYwiKF7nEvUQwWBi6nnKjbZX/Y1T29JI2xGrQLwd8+KJARBOAPOaMNHrZeXYgVAK5Lxt/T/UUZUYOFKlnISNMyLIGXEsXdM8SxIaSAIgnA6nFchU2/50jUkwhwHcZKeKdl6TwZawsRhTXF6hUWstBD2QH4GgiCkpYKuFDcXppSVlS/hKRArJTrlQavFCna6/j9G0MMR4jGeBGuQ0kAQBOFSMIwp3mJytVFZwNwE4P0XQ94FuyDtgCAIu0GvQ1X2zLLCAPpQKB3SFa0xdNT5idVlhW9mxBEEQZQa+RLxq8X6xz29spBjQVEgCIIgStfawIUrcXBe32T9o0iU7+YbkKfBCShVxRBAsbIEQZglU29twoFGDCkLpe10yCnyHssfQRCukhh39f+5pOo03nrflCHkaXACI7YuAQ11CyIIwiJSCgNRFrz/20a4kCy2JBIEQfDBSkvu1ZG5rCGlwQmoNGpQa+jGIgiC8BR+/u9YWZ8CQRCER0FKg5OgfDuCIAhPgqQ2QRCEPZDSQBAEQRAEQRCERUhpcBaU00AQBEEQBEF4KaQ0OAkNuboJgiDcGMki6gRBEISNkNLgLCg8liAIwo3FsugVyWyCIAi7IKXBSZCngSAIwnM8DVqy9BAEQdgFKQ1OQktmK4IgCIIgCMJLIaXBSZCnmyAIwt0gyUwQBOEWSsOKFStg6NChgmUHDx6EAQMGQPPmzaFz586wcOFCKCwsNHuMgoIC+OCDD6B9+/bQtGlTeP755+H06dOCbZYvXw716tUzebgT5GkgCIJwX0h9IAiCKBn+ju64YcMGWLJkCbRs2dKw7MSJEzBu3DiYMGEC9OzZExITE+G9996DzMxMmD9/vuRxZsyYAefOnYOPP/4YypUrB2vXroUXX3wR9uzZw14jly5dgr59+8Kbb74J7grFxxIEQbgvVDuJIAiilD0NSUlJMGbMGFi8eDFUr15dsG7Tpk3Qpk0bth7XdezYESZPngw7duwApVJpciy1Wg0BAQEwa9YsaN26NVSrVg1ef/11yM/Ph5MnTxq2u3z5MjRs2BDi4+MFD3eCPA0EQRDuC3kaCIIgStnTcP78eVAoFLB9+3ZYtmwZ3L1717Bu5MiR4Ocn1EPwdXFxMeTm5kJMTIxgnVwuF3ggcJuVK1dCaGgoNGvWjC1DZePmzZtQs2ZNcGdoQCIIgiAIgiC8FbuVBsxTwIcU6A3gg8oChhs1btzYRGEQ8+WXX8Inn3wCMpkM5s6dCxUqVGDLr169yjwSe/fuZcuLioqgVatWLFQpISEBHMXf3/50Drnc/D7kaSAIwlOwJMvcGXvlttxPZjY8SUMV7wiC8BDkbiKzHc5psIZKpYKpU6fClStXWP6DNXr16gUdOnSA3bt3szwHVDI6derEQpOQ4OBg+PTTTyEtLY3lPwwbNgy2bdsGQUFBdp+bn58MoqNDwZlQTgNBEO6OTD9zjogIBk/DEbkdFxMGGjPe4Ovp9512bgRBEK7EXWS2S5QGDDOaNGkSHD9+HJYuXQpNmjSxug/mM3DeiosXL8KaNWuY0tCvXz+mTPA9FXXq1GHLsFJT79697T4/jUYL2dn5du+nUMghLExaSSFPA0EQ7g4a11FxyM4uALWam07bPmiVpbXLEbkdHugHWWbWKTVqp5wXQRCEq3EXme10pSE5ORlGjx7Nch1Wr17NQonMkZeXB3/88Qe0bdsWoqKiDMvr1q3LFAIOcWgThiXh9g8ePHD4PFUq+y4+Z+kyBykNBEF4Cjj4OCIDyxp7z1mjNp9tRjKbIAhPQe0mMtupKkhWVhYMHz4c0tPTWUiSJYUB0Wg0rFoSllflc/bsWahduzZ7jnkOPXr0EAj4O3fuQEZGhmEbd4ASoQmCIDwHUhoIgiDK0NOAlZBu374Nq1atYt6BlJQUwzp8jdWSsGcDgp6C8PBwGDRoEMtVKF++PFStWpWVbT1z5gz7j3Tr1o15LLAs64gRIyA1NRXmzZsHLVq0gMceewzcBRqACIIgPAcNmXoIgiDKRmnACkeYxIwVk9DbIObAgQNQuXJlGD9+PHu9fv169n/atGkQGRkJs2fPZgpBo0aNDBWXEPz/1VdfMcWif//+rK9Dly5d4K233mKVltwF8jQQBEF4DmToIQiCKEWlYcGCBYbn6EXAsCJrcMoCByoB2AAOH+Zo164de7gzNAARBEEQBEEQ3op7FH71AqjkKu9aaLWgosokBEGUNdSLwWZIZhMEYQ1SGpzEnN83Q35xkbMO59E8+/1CGLJlEVxIvlXWp0IQBGGWf5Nu0tUBgJ2XjjOZ/fovq+h6EARhFlIanERKXhZsu3gUfBm1RgP5ykLD61mHvoPdl0+47P0WHN4CgzYvYI/lx3eTpYwgCLNoJVLgPvhNV3DDl8kpKoBvTutKnN/JToVN/x6GzMI8l7zXg5wMg8x+4YfFkF6Q45L3IQjCNZDS4ET4E2ZfZObBDTBi6xLBsrWn9sPVNNd0Xj15/5rh+aEbZ2H/tdMueR+CIDwfKlZhyt4rJ2HUtk8Fy3668D+Y//v3LvkO3tq3xvBcqVbBmO3LXPI+BEG4BlIaCKdxOe2u5PLSsib9/N8xgxVLpaZurwRBGCGlwZTVJ/dJ3iI3MpNccuvUjq1osgzDolBmUzgrQbg/pDS4eFDCCXN6vve7YKf/+o3ZdejylgItTdjgj+P4nUvwxfFdkF2Ub/X97mSZHjMtP9vwfMgPi2DBH1vYg/8eBEH4JrYqDcVqFSRmJnt9RbxTPE+treA1KVIVG17j2Lbkr5/hfHKi1X01Wq1kDgmXgI3hrD+e/xNG//w5JOfp+jkRBOFekNLgwgpKKAzR/TpmxzI2EHkr6M6+kn7P7HqMkRVTqFKymNbBWz6EXGUhnH1wAxb/uRV+u/EvvLTtM8goyLX4np/89bPV8zp57xp7vLFntY2fhCAIb0VjY1+feYe/hzf3fg1/JJ4HbwVzC+Yf3mJxm9P3r5ssW3psJwz98SP4/ca/TIbj2Pa/Wxdh9qGNbJkl0nlGHXNsPvcHZBXmwbidX9rwKQiCKG1IaXAhBcVKw/M8L813QMuTlFIgBgcYVA5wEo8J03xXNMbUYvUpPkdv/2fxeJUiYtl/nAY8Va+1xW3v5qRZPT+CILwbW/0G5/Wyad/VU+CtTNi9wuo2R25dYPIdlQcuMZpTpJYd3wUHrp0RbI/LLJFdVGB4Pq+raQNYMXyPBkEQ7gEpDS4cldynX7XrkFKGQhSBsKTXaKgXV9mwLC0/BxYe1oULPbflQ/jnntE1LhUGsObUfqZc8EnNy2KhTgXFRQalokvNZpCUa92VfTlVOt+CIAjfIFDj3eFGJWVE867wWe9XDK/R4v/X7f+Y5+Xlnz+HXZf+Fmy/7vQBk2OcvHfVZOL/X8ptFiL69q9rDcvLh0dbPZ+RoqIaBEF4eEdowvYGb946XO25etJk2ZqnJ4FMJoNHqzaAS6l32LIpe1cLlIBfr52ySSGJCAoxvB67c7nJNtcy7sMLTTvB8buXLR5rxoH1TJGpqPdQEAThW1TSyMGe9F5fati5adBb4CeTMY8wx5kHNwQGHSklQcyP5/8HLSrWNrxedmwnHL1zyWS7sIAgq8cq1qjhh/NH4JlG7W38FARBuBryNDgR3xlijCj85IbnTcvXgBkdBzOFAelcs6lhndhrYAv8Ch6pZuJhX2v9BNTneTQsMemXr+w+B4IgvAQbJqq+AD+/LlQRCP0bPsIUBiTIP0Cw7Vk7m9+Jc9ukFAYpyoVFGZ4nhEYann9/7ggVsiAIN4KUBheC1SK83Wr108W/2P9K4bEwveOz0KR8dcO6ALn9jqzxbZ4yPJ/Ly3O4nZUiuX3VqARQWHifx2s8BK4CY30xmRsTAQmCcG/slsDeKbLhSppxYv/105Ng8EMdBOvffmxgiY5vrerUe48/x/5HB4UZliWERpnNd7iXmw7OIr+4CF75eSksPbrD66tjEYQrIKXBhezjh+B4oXzC3AJ8WEo2/uLJVy0eAz0TfBRyo+eCT0qeqadhyqNPS247v9twiA+JgE97vwx1Yio6vQHfg1xdV1OM9cWysVhy0BFPCkEQrsY+wctPvlVpvbPXC5Y25eC8wnxaVKxlcf/Ng94SvI4MNIaQIrf15bCx8IUY9EY3jK/Cnner3dywfFK7vlArujyMbNHNJHTp+3//gJKCORWv7fgCRvz0CWQU5sLhxPOG0FmCIGyHlAZnIrJc8OP2NV6oNWDMK0fvui0lt4niWZPElA+LZp6JOV2GGlzlTcrXgJjgcMM2XL3uexJKSevK9QzPZ3UaAoFyBfN21IqpAMueGgsVwmOgU40mMKRJR6thTlKgJeqzozvg4z+3GpahV2HCLtPKI5jcfZVnwSMIwvPIKtJVCUK8sUGkM6zrqGh8N/BNiAwKZa9fbd3b4D1Afr+pK716L9tUZk9u1xf8/HTTjj71WkOVyHh4vPpDEB4YDPO7j4CedR5m699+7BnDPoH+CrvO70jiBSajOVmPYwiW9k4Ryf73Dm6AjWd/t+vYBOHrkNLgRMTimN9rgLPIe0vY1TenD8LH/9tmWDag4aOS2/pLeA4Wdh8B/Rq0hU96jWav68ZVgu+ffRvW9J/MKi9N7zjIsO3y47vZ//s5Qhc1KgZ8GiZUhfXPvMEsWeL379egHdSIKsdeiwcOS9zISIIjiedZXC72oribnca8Cub4/NhO9p/c3gThjmjtqgZ320xTSk/lz1sX4PkfFju072dPvAJ96reBz58Yw177+8nhq77jmdzGxOfG5aoZtt1x6Tj7f08ks5EQnhchwF8BH/UcBWPbPGGyHR5zSJPHDQnRdp3r0e3MGzx2xxfMA2yp58NWfXgtQnKbIKxD1ZOciEZrPkRl28WjML6tMV7fk8G+CuJSq2gpsoWuNZtBjejy7GGO8ADjsa6lP2BKyilRo6EZHZ+165zjQiNYYjUe52FedQ8Ea5BjSUEELV1o+Vrx9y8QFWz0kmAvCmv9KFCxeeOXVWyyEawIhHX9JxvWnUu6Ce//tomFVPE9JARBuA97vbQ3A1rbP/1ru0mJVVtBrzBWqbOHHy/8KXht7/7xoREG7y6GL/HBCf70/d/A1fT77PV3z7wJC4/8ANWiEkw8wNYYsmWRoSv1qr4TDBX7UOHA/ZtXqAnvdDAasgjClyFPgxO5nv7A7DquOY45sNeAp3SNLkmjuu68OFZz8CfrWALw29MHDa9X9hnHYmpD7ayEwiWlq0VWK1QEOIUB2XPlH1ZPXKdgGHtJSCGuNMK3TqJnid8bAhUGBLte44C36p99sE+iXC1BEGUHxr7bIwfTC3LAEzh0/azJstaV6pjdHg0nHOhhsAUMBeW4mZFk6J+DXmGU2bYeh6OcPjkaDTB8sO/Ds98vNCgMyNR9a1i47Pb/jlk9brPyNQWvOYUBeennzwzPt5w/wv6joUmpKoa/716GxUd+Io8E4dOQp8GJpBcaw5Hs8UL8l3IH3jv4LbOSLOoxEtzdxS0mLkRnEbKFWBu3fbRqQ8N77bxsbCqEcbRSyXvWaFO5Lvxz7yocuH4G6sVVgsdrNGHJzI6AoVUdqjWGqKBQ5ornu7jFvSHQff/9OWEiHw54HNgAD793VGqupd+HyhGx8G9SIqvMFBIQyCqbYCgAQRAlw6ZofjtEy4v65mOr+0202dNaFmDlub0SBoo4XmlTMfxwUFs7Mw9r1hkO3ThrmMRzPN2gnUMyG/MdOAPMnN82sXy1zef+YKGiYrDppzUw7w3z3FBu82WwGFR4sovyBe/zwo8fGZ5P3fs1LOo5ij3HMCgsV5tbVAgn71+Fm5nJzINjz5hIEJ4EKQ2lZIE/n3yLddjkksf4HE48x/4nZiaDO4PVMMQuboSfBGcNW5r6cInVUgqKI4MPEhdiHCC/OL4baouqKtlKtch4Q6wt0qVmU7NKA1c2lp8wLubNvV8zxWLtyV8lG+Wh5QzXczzIyWDXMMyNJykE4anwQyMRzGlqX62RxX1QbvNj+t2NN/asNln2mJXPNLx5F5i2/xv2XJwnZg70/mL5a7HHvJmN+4vhJ0BjvwjsTi2lMEiBygFf8cHwJan8Oin4Co8UiVkpzNuQV1wkWRTj+J3L8GWf1wwFPXKLCtjYaUsXbIJwdyg8ycnssxATu+vyCTNfgmMT4dIGXbRisKSpNWH4SJUGdk/6I0Rl/EpKbIixIhPy+p5VNu2HJWFxwOEPGHwSwqLg22emwKp+EyT3t6QwcOAAJKUwcGD1pm/PHGLhTBN2r4CR2z6Feb9/DzP2rxe41gmCsPRDk16MISdcWBJ6/vhg9TRrWPIiuyvj2jxpNYeBo2aM+fwzMTES1fIw4dkZWCpCwadD9cawRF9kg0OsMGC41Df9X2dGH0dAjwqGSZljzPZlrFAIhmihvEa5jaGw6N1G7wRBeCrkaXAyq/7ZazZuX6psqHgijXH0zStYrpNdVoirWIxp1QseqWpUCMzxQrNOkJKfBb3qSJdllQJdyM7EluOhAsTvaLpp4FRDeUCOXnUeNtkPm9jhAz0CXKO3NSd/hayifJvODRUCS0h1VT39QJcYfvT2JWhfrSHYCiooWEe9UkQsyEWfjSB8MTzp+N3L8G9yIrOoO9KEE6umYSUhTwCVopdb9rBqvEFPZucaTUCl1QiasFkjSV8iu7TABGm+MvFyy57QtVYz9hxzKMzlOODnD1IEwCutesETdVvByfvXQOEnhzWn9tv0vl/+/YtJfwoxR2//xx4cnJcEvRN877EtpOZlsRw68jATZQ0pDaUIui0xVlJsRecL8PWnD7mv0iByO3e20UqD8Z1zuw6z672kanMv6DYCHAUFLj4wsVoMKgf4HWAVDQ5sMsRXGFb2HQ83Mh5AU1ESnRhOicImdYuO/CRYN7vz87DoyI/MVT35kX7wib5kLVei0BEwWc8epQEtXmj9wtySj3qMFJRAJAhfhZNtXMEEcd1/8W+MX54Tw07dGcy3yCkqYM8xZ4rLFbDGmNa9S/zezzZ+rET74xhz8PoZk+Vf95vIZJdYnnMKA/LcQx1ZI7m6sZUsvkflyDj2wO9UrDRgKGpSbgbLhcOqe5gXx2GrUaikYI4FFzKFzVIt5aIQhKshU2Mpc+DaGYvhSZhU5a5g9+PShJ//gJYZe9zkYlApwEQ4KVA5wPXL+7zGXlcMj2GlV8WeClTmbP1+IgOFng08/wbxVeDD7i/C0ifHQLsq9eEhM3HQ7avqJiiNE6zHSWPcLr8fiCUwBIOraJKWnw0jti6hTtYEwZO7UlWGsO6/GE9q1alUqWzu9lxSlvR+WWDkGdBIun+PrWBjzkESigda3PE7w74+sfrcgbW8EtcIelKx34Ot1nmx92XDM1NY0YsXW3SDeV2Hw9T2A2BmJ+n8vSfrtmL/Rz/cw6b34lfWsyfHYuzO5Sy3gyDKCvI0lDJSbmH+MndWGvZfO20xTMfZYFUStPDUiXUsaVkMKh2YnzDkB6NHoS2vZwIqBva6jc0Rz7MGfdzrJcNzvpXo3cefM6ngxCXsTWjXB66k3WO1yK0x7dd1BoXHHBg2JRUTjHXIhzfrwq4xJumP32VshITeiKVPjKEwJsIrkBVkA4Sb86zJBGF/3pLHgJb4IrUxF61pOceSkm0FDS7vd34e0gpySmTk4UCv/DONHmWyeeWJPZLbWJN9jhAfEsGSuhEMPa0dq2sm2iihGvNeXODlM7SoUAuGNe/CHmiY+eqfvVaPj5X10HttKWwWcwj5VZs40EP9iV4pQ4/26n/2Cc4H8zkqRsTa/ZkJwhZIaShlpFQCodLgvs6faxnGuthofXE1eF347mZngBPyj3u+ZEiEfslGy5C9RAeHwbyuw1i4Q+WIOLPbPVWvtSA8iZ+wJ6Us4YCAA01yXpbBAoUDNLrWL6Xegf9S70Kfeq3x4sHJe1dZovR/qXdgt5kkfGTd6QOSy9EbgVZWDKVyNTjY4sCH5XC5wZogSotcpS58x1akwpjcEb4XErs5Oysp2RL146s4/Zg4DnBKg7iBmzPBifyF5FvME2yOKY/2Z8nNHN1rtxB4rbvVag6/XjMWRGlVqQ688cjTkFtcCC9tM/aBYNUSI+NZOdwutZqxMF7s9ZRfXMhy1fbxjiEF9hOSYtIvXznN+GWNW5nJLEyMSsz6DjQ6uwCMe8REUylwYtS3QVuzigTGzbsj+cVFcCMjySVJyqUNxq9irKq/n5+h+6crqG2Dh2Ros87wZL3WcCHlFjSMr2qyHgd6DCkKDQhkVkPOglRZNPhfTLkNsw59x55/d/Y3q++LDZewL4Q10BXe9PoZm/NX7FESspUFzE2/+M+fBKV27elUSxC2Ymmav/TYTlZ1x1Y8wdOAig3fWFAuTNcszVN5v/ML8NuNs/BCs84uew8c26wV98Bwp28HvAGX0+6hbYZ5H8T9KjCpvnp0AuvBhD2HUJlArwkakLieEr9ePcXmCmqtBn60oZRslYg4Q/NQW8rsYiiss4tdZBbkMmPeaF5D1EC5AtY/84ZT34dwX0hpcAHnkhJZXwYppLoM8z0N/FJ37pQkOOIndIja1t3aE8BYVXcBvRI4sEiBA73UYI8N3zCGl/teOIXBFjB8AK2BmMDJF/58etRuYWgIhZVCDt88xwY99Dpw92tybiZTusSdsbFfCXo3cODkN6bDnBh09aNXZPCWDyXfFyc5pDQQ7g4/EdpdWXp0BxyR6HXjqdSPr8we7gB6bMz15sAiHq0r12XPE/RdrTkW9xwFr25fBhmFuaxql61g8vpH+oZy5pqSohcavQxcQ78hWz6EqpHx8PqjT7O+FVzPCJTDMaIS5Hg/Y3lw9OLgeCSW2QgmpONYIAbD39AAhYYowvshpcEF5CgLWIKWrch4voZybqg0eIOS4I3Yc48h6EJ+/ZF+Bg8I5jCgxezn/46xql6ckoA9J9B6xO8iy8XMphfksFyHq2n3DM2fNg16C9Lzs1mSnhgctDAGmOtDMbZ1b9ZczxKp+dklcnfjQIf5G1gBi9zmhCvwhPAkb1IYvAXMWZz8SF947+AGm/d5s31/QUVFDD1CIw6Gnm3Qe5Xffmwg80LzKzxp9X2FNp79nSkO6N3lwqqwISsqPZwCUiOqHNzI1EUSIBPaPmXoUdK/4SNWm+odu3O5xErDzxePsjHp8RoPleg4hGshpcENBhR+7jNXJ/xeTjpM2r2SPS+t+ERzYEIu4Z7gpF8qWQ7BClB7rvzDnqNAx8ofYq8AWswGNm7Pno96uLtg3TsdBsL8w1sEy17d8YVkkrVUhRnkVlYKe3CYUxhW9hkHL29fyp6P3fEF1IutBFcz7sOLzbuxBkyW3OxqjQb+SDwPqflZ8P25I4blJ+5egUU9Rro0BprwTaRkPFprn/1+oaGIA5Y6LSu4ZnWE+2Ep5wO9s1xDULTwT+swCBommIatcqF04lBnNJRg+BNXJY/r8/P+oY1wLjnRsOz93zYKqgnyFQZxU0NzCsOKPuPgi+O72Pluu/gX7L78N8j95MxINL7tUxaNWvhbwZDcjII8k7EDu3+j0kJ4odKwYsUKOHLkCKxfv96w7ODBg7Bs2TK4fv06REdHQ48ePWDixIkQFCRdtaKgoAAWL14Me/fuhZycHGjcuDG8+eab0KyZMQH2zp078MEHH8Dff/8NISEh8Mwzz8D48eNBbmNb+NIGdQD7aiDJTAYjTmFwB9adEibK2hP7S7gWcWJj+2qNIKcon1VEwtwNHEQcBa1bqLCac4dzmFMYrMGd6+iWPSAqOAwqhEXDfX231Etpdw3NEvde+Qc+4lWg4oPNmyw1x5t3+Hs2uPlyh3rsQPtC005uXZnN00KOpLbFpokcU/d+7ZKqPraCvWAI9+W9xwfD+79tMrzG8NQG8ZUFSdWOVu3DPDhsIMfvPM1XGDjsCWnl07N2C2aEwjAm7IXBKTmsJLtaxTwdGDaLHbexgZ4YDJ3CnAtzHEk8D+PbPGm1AaG3cjXtPuy5cgIGP9TBLXtyOJwls2HDBliyZIlg2YkTJ2DcuHHQrVs32Lp1K8ycORN2794Ns2fPNnucGTNmMMXj448/hu3bt0PdunXhxRdfhKQkneZbXFwMo0bpYvk2bdoEs2bNgo0bNzLFxJ3RelF8LD/Gkeu6SbgPq/pOYP8xyW5cmydhesdnmcLgLIY27QTOZu3Tk5g1Cc+Vi/vF7qxSYPLf6fvXWa4En1X/7LPaTRvzcQqLTRv6+QKYc4JK185Lx+Hj/20FX0frRDksToTGfVef3Gd4jRXNyrpwBR8sW0q4D43LVTfksX32xCswsV2fEisMfGZ0fNahSTd6dS3lAaIRaeTD3aGjPoSougUv7trTB1h1JT73stMsKgwcXNEVX2Ta/nVwOPE8C/d1x7mh3UoDTubHjBnDvAPVq1cXrMNJfZs2bdh6XNexY0eYPHky7NixA5RK04FbrVZDQEAAUwRat24N1apVg9dffx3y8/Ph5EldDDR6IO7duwcffvghUyi6du3Ktlm3bp3kMd0Fc182l5DEB916lva7lWkM7ygL0N3IVxi4xCjCPcBkZBTm2A/CFdZkrO6Eg5qY+d2Gm91n/YA3YFK7vobXbz/2DIu75VzwUp2o0Q2PZWrNeQxe3LqEeT2wgsrkX76CfbycCylkeovrsJ8+tuot8TawdOM4Xs8N7EbvjgOQp4SVYuliPumihooYIudOnaHzigsFHr0BDUlpcDdQpqLcdkXxk4SwKPjyKVNPF3qeu9dqLrnPKy17mRhusMEdx7ONO5jsg1WhMAdOCkycnrL3ayZ7sd/Qrkt/GxK1LfXH4MrJ4n4peVngK+QWFcBskffHXEGdssTu2d/58+dBoVAwrwBa++/eNXY2HDlyJLuJ+OBr9Bbk5uZCTIxwwozhRfPnzze8xm1WrlwJoaGhhvAk9F40atQIIiONbpq2bduybS9evAhNmzq3FKSrByDs4MuvSIAU8wYkrFGvUgsHqBV//wJzu0lPpkqDrKJ89h/dZc7um0C4P2ixQqtYqCKIub/RvYydVvEeRlc1l+Tcp34bFgbDwVUQwY6tzfTdtK3l52CS9ie9RrOGdRPb9YUFfwhzKszlRWwe9Bb7XaEbfuEfP8CAho+wZoTcvYusPbkfRrTwznKu6IXB5PVCdTFkFuZK1nDn4u37NegBvaq4vs+Kp6Gx4IvAMDhMCOUQX19UKjAPzd2KV2DVHYoP900wQuDT3i+zwhJymR97jUbLIlWxoAeEWCZjeW2c8GOYE85HrMlsrKq3ceBU+OC3jWx8QDkk7jGBeZHi3MhvBrwO/jI5FKiUMEqfoN2nfluBx+61ncvLPKfTVSjVKlCpVewaYw4KKlZ4Lfhg7gkAPgCWd5OuOOj2SkPnzp3ZQ4qGDYVlI1FZWLt2LctTECsMYr788kv45JNP2ARl7ty5UKGCLhP/wYMHUL68sLNkQoLOJXb//n23VBrQwom1l82BP0hMUpVCrVGb/uDSyzYRGSvreEN/BqJkNKtQk/3n9yAZ0aIbHLrxL7NsYe8LPlhu1RGBj8dfN+B19hytWPyGSGLQm8HVVcdSh1g9hHvPShFxgnyL3VdOwPDmXZiMyVcWQpAi0Cvi/MXxy9bYdnEvKQ0SWPLEbPr3sEBpsOaJ4I5XVnHZ2YU6mR1NMtunQSVBHN2AchLD1X44/yd81vsVk33GtOrFHvaAhSpmdX7e8PrUg+sWvQRo5OF+G+HyYIPMRm8dX2lAzicnsl4YaExVadUmxTw8kau86oNSYHNB7JHEp0hVBAqZfRUTXYHL4kxUKhVMnToVrly5wvIfrNGrVy/o0KEDy4HAPAdUMjp16gSFhYUQESEsvxgYqLtwRUXCuE178Pe3P51DLtftY83Nr7VSveLrk7+aVRpw8MHwi5KCjcB+u/EvtKxYu8TJNHf0CX5lWQ2EcE9w0u3Kxj5oxcIB5W52GszY/w3k8WK1u9ZsZrERU/tqDaF2TAVIyc+CD/RJhz//d5Ql7nFu39mdn4cGLuhgW1r8ffeyRYVhXf/JrKQzhmhxDH6oj0GWeRr2ym2N3PZJu1W5bkEJwFr1YtBqaG9ZZAwjC/JXQJPyNaCkZb+RsACS2YQpgxo/xh6uYtmTr7LfCyZbY+NRsYfB3O8IS65ijh4aXV/RV9ObfWgjLO4xkoU6IejNwON7Kvdy0i0qDFjVCkN10/evNxQEQcKCQkGt1nin0oChQ5MmTYLjx4/D0qVLoUmTJlb3wXwGzluBYUdr1qxhSgNWXRLnLnDKAlZScgQ/PxlER7vWam7J02BxP40GboqShxwBazP/cuUf2HrhL1jRt2TVY7ikPj+ZZ040CM8HvQ9r+k+2e7/y4dHswfHd2d8F62ce3MDK1oqrUHmylYpjavsBEKyftBo9Pqggeebv2BG5rfLLhywnhCdxSfXcfYIJoweunzGsk7Sq2plDgt12ue7o2PukJF4wtCIjiVklH0sIwhFQMUCjjCM5esgTdVvBLn2+J6cwcL81LPNtrXO3O1GsVsHzPyy2uh3mH3Eldj/oOlS/FD1FWIzGPbziTlcakpOTYfTo0SzXYfXq1dCqVSuz2+bl5cEff/zBchSiooydEzHhGUu3IhiadPnyZZP3QMqVK+fQOWo0WsjONsY624pCIYewsCCrVTh04Um2DRhiK6GUm9sRUGFAsPNkSVCqjBY0bABDEJ4IJlibm2i/s/8bQ7fVknL2wU0WzodejpKCljr0rKDlGYXO/uunoUpkHLO8iakVXR7mdRvOBmocoNCaJdWfAsUSzkWzswvstlpFRASXqYfCEbmtycl3WvUkzhCEMpqvMLD3kdhXZafhiB+GqlQXlygMg+v3UzNaGNpLEJ4CVu3jlAYx2LzTWUpDTlEBex/Mg8P8AmfkKmg0Ghae+1/qbVY0AUtfm+tPhOXGuYI35cOEHcT5uIvMdqrSkJWVBcOHD2eeBgxJqlevnsXt8cJiJaT33nsPBg8ebFh+9uxZqF27NnuOSse2bdvYMcPCdBf36NGjLFm6fv36Dp+rSqVxyNJlCyw8ycYBgwubMJyXRg0tK9VhjanKGhwIMTaRg7u5CcLTwARr7GSdlp8tSPZDMLEbqw3VjLE8wcJ4WxxUMOQEJ5hYnchc3C72lni303MsAdFSYzopLiTfgi3nj9hVOeOdDoMMLn88R2sN7XDwcUQGljX2nrNGXbLeC4Jj6df/cfO8yTpWo16EvQagpUd3Go+nUjmkNOA5Yl4cJrsiOJYQhCeCRXQwt+LLv38xLMNiG1iUAJn7+2ZWstua0RMr6MWEhLPX2El76THj76xH7RawV1/IA5vYYegURlTYWyEyJS+LGRKsdc7m80GXFwRzqqpR8R4hs52qNGAlpNu3b8OqVatYTkJKirFUKL7GakmZmbpOhehZCA8Ph0GDBsGnn37KPApVq1ZlZVvPnDnD/iNYYhX7QWC405QpU1ijN+zpgJWasFyrO4KDj63hSeJJh0qjgQhRHGqdmIpQFg1G5vy+SVDv2xuSRgnfZcqjT8M7v65jz/s3bMdyIrAmtlQ1HH4C9/RfvxFYgTG+FutoW0r0w1jUF35YzKrXoMUMY9Qt/X6wpwK/RKqtDaJwgJPqGEvo4SsCMsdLrvLXo5IplUMmFWpqDxUjYuFa+n3d8dRKiAD7wm/RCIf3N7+7r705FQThTnSs/pBBaeCq83FKA+am8UtpYy4EF9p0OfUuzDhgbDr8fJPHmaGIrzAgnMLAMexHXe7XhLZ9oHFCVYuGUq1WCyO3LhHk2dkyBmUW5kO3Ws08tnmd05QG7LmAScxYMQm9DWIOHDgAlStXZp2cEa6L9LRp01g5VWwAl5qaysqrchWXuKRnVEJwPSoYuO2QIUNg7NixUGbYMLgEyB2Lkb6bk2ZioXJWyJIlcIBDlza61BBuMkUQ3gJ2McWqHQgKbK6pnBQ4GGE9c3ElM3F8rTVwgok9Jka16A496phv3mSvwoCDJzaIIpyHtZwGS97jXZdPmCyzV25j5S9OaTh9/wZ0ry1dT19sSeXyLLZe/EugMCAKvTwnCE8EvbRowME5FWd06VSjCRySKBbz0s+fsTLfWExAzIazv7GHrWDVPVS411rIozt255JdCgPSslJdjze+lkhpWLDAqOWhFwHDiqzBKQsc6C3ABnD4sJQk/fXXtg/U7jD41I4ux9qhO0JSns4b42hsrCO8d/BbyCjIZTXysSQbQXgjYusOJpwO1vcvECOlMIh5p8NAqBaZAGN2GDvUY5dUcTEDLCPIKQ2Y91AhPBruZKfC/MOmfSg4cND6ut9ENvnkJoY4UGHokSsaQvk6tlRPMsel1Dsl9jTwlZIIGyrVYadv7Ig+rcMg5snafO4Pi8ckCE+FP9F+tXVvVpnsqKgkKSKlMIhBwyg2reP61iA478GGoXwwygJDm8ICguBBTgakF+Swyk3YO8IS2FQvJCDQEF6IXbAxx8xbQgWpta8LQEF9VW8xMr+NUXO2BsaoOqKhWxu0MGETcydaVapraLyCli4KdyB8BfwNLug2goUnYenVp+q1hg+P/GiyHTaxqxqVACtP7DEsa1GxFjSvUIs9H9asM3xz+iAs7jGKVWtCSxWGP6GXgQNLCD5e/SFmETYHHqdtlfrs94jJzRjXG8DLiWhT2XKeGGEea9kNmEBuzQuM4QpWC2HIZEzBsNfTwA+P4jy+YvC4f966CNWjE9j9hsz/YwtrriVFdSpeQXghk9v1hWf1SgN6A0b89InJNnVjK0Hnmk3gq3/2CuZCrAy1TMbKtqIC0KvOw6w6H8pebIoYHhBs8Epg+BH2AsLEa3P0qN2CjQXhASEsTJHLn+CHHeLDWyClwQGsDRoBfv5w5NYFi9ucfXDD0CzLHDL9eznSaRQTMNWgsVhf/Itju+Dk/Wuw6p99gkmUlEXt3ceNieoE4U1gAjQ/h+H9zi8wzxvfcsQNBNgRHX8fGHZUOSLOsM2T9VqzB8eUR/uz/2jR4krtoSfPksJQKTzWcIy4EGFvGsL1HE48Z3E9Vq2ypVkhJz+5Xgm2wp/YSCVWI2eTbgoaFor341MtMh7CqLcO4YXgfIb/W8Sy2S/8+JHh9cstezJZjWAuA4JFMLBIBFchCb0G/GPw5Tc/lMmSwoCMbNHNY/MTHIGUBhcQEhBkdZu84kKr2/Cn7thmvJyFclxSSgMHWrykSomhwsCt57iQchvyi02T+h6i+GnCR6gfX5kNJlxBA7HVFwcI9DrYAv7usFY59oOQAj0PqKijBXtQo/ZOOX/CflBeYiiCGCzriDXhpcqZ2lIZz56O6PziGea8Hn/YEfL6TsdBNm9LEJ4Mhm9yvzWcz0h56rB6nq1gFSUuKdqcovDPvassVMqXFAaElAYHsDZomIt9RbcXZ33CLq32gPF0tigN3A8Gwxr4A5Ct9Yc3/XuYueoIwtfBwcBfVvJEUgx7GtLkcfhOb73CSh59G7R1whkS9mBJagcpAiTl9rCmnU2UBht1BtvPS6tloUlY/Yij2ExoE5aMlCJRoiFodBCVyCZ8D3OhffaA+Qgr+owzdKVulFCV5Q4pePOonnUeBl+ElAYXIE4+G9S4PcsbwMGHC0/AhEZrzUnw5ue8ALYoGal5WfDG3q+hQ7VGgq0LVcUm3o9zSYlmj3M3O83wHCc7Hao3svreBEGYp1+Dtixfwt6eDUTpwCbtPKUBSy6iHBfHJ7sCTIbHpPjGCdUMy25kCKsgIdmF5hvbvcmr6PVMo0ehYXwVn7OAEoQziQ4OY7lCJLOF0AjmAsT1vp9p1J5VPGlavoZh2V8Smf9iUPBzsK6wVth9+QQUFBex2sN8V/tBUXkytGy9/5tpV1lzk52YYNcPnATh7dDg476ggsCX29jRu0N1XdlvS55mc9sgmAhvC6cfXIfU/Gz47ea/hmW/SlTums9LqrfEoMaPUTlegnACJLNNIaXBEay4p82FJ1mrSlQvtpLgNQ5iXEIkNn2zhr+ZECSxu86c61uqKgBBEIS3gzJbIbctrEFrRTHAJlRcyJMt72sr1zIe2LwtQRCEKyClwcXhSa3sqM0bKgohQmsXVlxB8m1InA40ozSIByaVldKCHFQLniAIXwANNNhfw14CRDIXKxZxoaRSeQZizJVlxeMQBEG4G6Q0uACNBUXAEljrl8/jNZoYKmrM+X2z2TJ8HOaSnTGJmo/SRk+DtzQjIQiC0FrIC0PDyhfHd9t2kQT9FIRDKFbK4kKL/k26Cf+lmDZ942NOpqcX6oxF9jKQKnARBOFCSGlwQfUkvqcBS6XaCrq62+qbN83pMtSk+dvvN4wxr1Jgd1ApOG+FrU2MOOwp8UoQBOGp2NM5mS/9Mdn47ccGsucDGj7CCk5gJ1kOfr8Pe2R2TlGBzXKaDyZBEwRBuAqqnlQKidC2gmVSX3/0abPN2LB1ujnE3gRL68zlNLCGcPrBc1GPkXacOUEQhDtimyx2tIoqinr0EG8e9JZD1YoOXD9jdh0aexJ4hpvwwGCmTPCZ1WkIzDr0nWE9VUwiCMKVkNLgANYGGLWN4T/mMCf4i1TFZvdZe3K/ybJQRSDkFRcxZQMVmcLiImYJy+UNPJsGTjX0dPjtxlmDix6rPREEQRDW5T9fZo9r8yQsPbbT6mXjy2E+wf4BTGbjA6vghelDXAP8dMP1W489Aw9XrG2y32utn6SviiAIl0JKgwv4++4Vq9vwy68i5mxU6PL+8cL/2PPzyYkwEKS7xiZmpZgse6fDIJhxYD2Lm537+yb4NymRua9P3b/O1leJiBM0getQ/SEoVquhXpywihNBEISv0rVWM9h/7bRkKFOcRB+HNpXr2aQ0SHl8x7Z+Arac+4MpDL9eOw37rp6ETjWasPEhTe8xFheoeL/zC5Can2WSE0cQBOFsKKfBCdhajxvpri9jWiumAvsfqO+/sLD7i5Lb8y1YF1JuC7qG8rmfk262sgfGxqLCgPxw/k+4ln5fsiQg5lB0q90cqpKXgSAIL/YQPJwtbeWXokO1xoIcL04G42Re3DSTL9M5+D1zrHmko4JCDQUtUGFADt04K+i1I66SVz++MrSvRg04CYJwPaQ0OAIvZwFbjTetIPQaWPIgcNU2jiSeh+N3LhsGIM4FLaaKqPTet2d/s/k0A/SDF4YoSa43U22JIAjCW3kyJQeeSTafA4ZoNFooLFJDSobSUJACi1ps/+8YFOrDRCtFxNr0fq9uXya5XKqKHfaKsCaXzVXJIwiCcDUkfUoIdmrm6nLbgp9+2+S8LFj850+G5XJRAzZzPRZ2XjoOw5p1tum9AvTHNFeF43zyLZvPmyAIwhsIwEITVrZZue0u7PozlT0fPzxcstoRFo6whSK1dC6aUiJHLT0/16pSQMYegiDKCvI0OOMiWqiaIU5q5ucQ2NKu3Fp5V47HazxksixALnSTEwRB+Cx2FDfiFAZk6ZY7FmW2pqgQkndshLz/jCFEYqRClKRyGmJDwq2WWiVPA0EQZQV5GhxAUKcbZBaVBvE6c14Jc1Yrqa7M6CYX91BQ6CtrRAeHsVJ9veu2ZK5uV6PVqEFmxktCEBbvHfSiabWgykpH7RoUUbaFexBESZDZXV9VWmbLiotBU6yEm4unsde5Z/+GkLqNISCunMm2I7cuge+ffVuwTEo5aBBfBW5a6STt7+byVq3WQlaeCnLyVTBu0SXD8s+n1INq5YOoLCxBeDCkNDgBS7Wx40IiBa8LzOQXmPM0YMI0Vlo68+CGYdmS/22D+d1HCLbjupDitliBAzGXNM2vCuIoqXt+hOx//jS7PqJle4jt2odpWDn/nmATQ5kiACKatwV5SJhdE8tc3D8nC0LrNoY7Kz802UYeEQXBVWtBXO+B4CdK7nYEjaoYtMXFIA8OsWl7dUEeaJRFIA8OhfSDOyH75P8MeS+VX3mLTYZl/sKfmiorA7LPHANNfp7F6ygmIKECFGekgbZY2LMjof9wSPl5A2jVKgiuURfiej0D8rAIptDhdxVavwm7hrgfbpN+YAfbTx4aDpVenMSuobaokG2jTEuCghtXIAc/hw3g+xXcuAyuwi8oGOKeGASa/HxQptxnFl11brbdx4np2hcimrUBv8Agg8KL3zP3Gim6fxvU+bmgTE2CgISKABo15F/7D/wUgaApLgJ5UAjbD69T3qV/IaRWA8i7oPvtlX/uFQiISwB5OCr0WtAqlaBMSwZ1Xg4EV6kJMswxkstBqywCZfI98I+MBnV+Pptkiu8Pwo3QSsv3zP3b4ebW7wXL8i+fY4/XAv1hWZUYi4fFjtEcYoXC3cktUEFokByKVdhTCODaXV1i+Zufma8cOH6xUYGY92otiI8OgNhIBSj8KeCBIDwFGqkcQBwyZCmn4cl6rQSv9+kn92Isxcd2rN5YoDTcyU4zu22YIshqKBTHqBbd2aS88NY13aS83kOCSXfK7u8h59RRqPH2hyCT+7PJ9M2Fb4EtZJ84wh5iMn7bDREPPwoFt65BQGw5yPvvDITUbggB5SpC5p+mvSbE+0qhzs6E3HP/sAcS98SzkLprM7gS/AwxXZ5ik+WkLV+b3e7OioVOfV9lsq7ylZjkn9YZnuM53f5inmB9zumjkvvhhPbW0g9KdE6uVBgQTWEBJP9o/HyOkr7/Z/ZwJpzCgDzYuAJKBT85KGLjoTjlAShi4iGmax/I+H0Pe47L/cMjoTgjFQLiykPYQy3ZJDb3vzOQd+EMhNRpCQl9JoAvYquDoUFuEejqFumRSRtfLEnXSkXWuznnSIQsrd15D1QPqoF/eV21OzFTHu0PzuLExWyIDPOHOlVC2DiAeRwRIf7wXI/yhm1+P5kB4aFyaFEvAv44lQEffit9XvYybfk1m7b7Ymp91mOoWvlguHwrj9li6lYNkTTU3bxfIFBMKsUHwt0UaSPdt7MbQ3CgH1N69h5NgzU770GNikFQpVwQPFw/gj3w2nCkZRWDslgDcVEKuJdaBNsPp8C+Y6YVCzka1giFxrXCoF3jSPjzbCbcSS6C5HQlXL9nrNo1pn9lqFU5mClf0eH+EBbib5LLSM36CHeDlIaSIsMQJPPDh615BeYSoRHx8ZUa0wGpckQc3MlOhWYVatr0frr39IPrc183vMZOD5VeegP8I2Mg6Yc1UJh4lS2/sWAqOBPOso6THiT/6gX2cBauVhi4z2CPh4CQJqLFIxDerC0U3UuE9N/3gKYgDwIrVoWie5SkbxaN2vDbKU5PgaTvV7PnyqS7Jpum7NwkeJ1/+Tgkb/8UAruOp1vSDFWLiiFZngZ31LpwOZmfdLNOuahIhb3pEzHBOo9rh+qN2SRxwTc34X9ns8C/ivnxJEYRxHIoOO+YKjsD/IJCmOFHEVsOigIj4bl3zzEVaXztS1Bfcw0qvfwm7Ps7m02Qv/rZ9B4R890+3b3lDBT+Mhg3sAocOZMJf1+w3zs49sP/HH5vcwoD8sJMvEZCbtwrZI/DpzKhpFy4kcce3+9PMrvNlz9J58o4G3+5DIIC/CC3QA1PPhrHPDyNa4Wydd/svg//XsuFFW83gPKxgZCbr4KQIDn4+dnf3ZzwDUhpcAKWfl+2/PTQmmApL0IcuiSuqMSPjxXXCLcEX2HguLvqI7CHisPGQXF6qmFyUv7Z0Wwik/brNnAF0R17QWSrx0CrVrOB88H3q8EvKAhU2VlQdMfojSkrYjo9ARGtHoPi1GQW75y0ZTWzlEuB4UNxPQew8B7w8wOtSgXyoGC2TqvV6EJnAgIN22NYTNG92yxESbBcpYKCm5dBHhoBAeUrsYlE+v7tLIzHLzgUotp1AnVuDgRV0zV/CqpcA/yCg0Em84PC29ehKOk+ZP11kFmls44egsh2nSD6sR4sz6C0LF2BFSoz740UeL/jRAnPBT1eeG0cCUMrvJsIqbu3sNAgjtCGzZm3AEOF4p96jlnpMYwIvzt1ThbzgGF4FF4rvM4YuuQfoa/XX6xk23LXCM8RPXYYnobbB9eqD4roOCYgMLRKlZ0JfoGBIA8JBf+IaFDlZoNWVQzph3axMLLirHSDMuBKgqs1BsuBi74NXps3I3fBh1lPwl11jFkhLheJ4SnpQ2BxzHfsudQuT71xGgID/GDeq7WhTpVgKNSHGB48mgN7vz9jk0skY+1ncFNl+dv7lIuKSgfAUSHxw7ehnmjdR1m9IUsTDHUUD+CeOhqi/fLhQnFFiPbLg3QNKjPiXDwt+IEGavknw+jwg7AqpxNcUlU0ee/qFYJgyeR6kJFTDKmZxVC/um5y2unhKFBlZbLf2dmrubB0y214kCYMsZQGL4ajMsi4rz+ooYI8AzI1oaDU+kMRmB8n8bOWl2dCjiYIYvzy4KmQk3C8qBa8EKYzEv1S0AQeC7wEYX7mlZJcTSBbf15ZCfxlajijrAYhsiKoKM+AG6oEOFdcmZ1HrjbY8J5IjF8uYG2vTE0IWxIiU8KzoUchVFYI3+e1hTRNOMhBA8Ugh3BZAeRqg0ANlnNcVGotUxiQnbwEfz6j510ER6ldOZh5q6LC/WHjPqGShN6bQqUGOrWIgYcbRECxSgM/HExmpYwTHxRC5YRA5oWxBiqeHVtEQ4C/DH48lMyUHaRNowhoUjscDv2Tzn5b6CG6fCsfwkPkEBHqD20bR0K9akLPVFGxhh0HlegAhR/cTy2C/EI11KosDEdGz5Jao6u0FhQoF3h/lMUauH63ALLzVNCkTjicv54LyRlK+OdiNvOG4bXIyVdDbr6aecbwnDnwfBpUD4UDf6dDGJ5niD87zn3e7wGVbfwsGAaYeL8IhvRoAI80TAB3QKaVmoF6OWq1BtLT8+zeLyBADpGRIVBYfAuG/TSfLVs/4A24mn4PZh/aKLnP0ifHQEKoMWl50OYFJtso/OSwYeCbZt/377uXYdERY3lWqRjYF3/6hPVj+LjXS5BQrGGWJ5zkjL5utIY/+yALMhRyyPL3gya5RVCrQLoUoC1UGPoayyMwR+6FU5C8dT17Xm7gSJaPgMrE7eW664bIAoMgtHZDyD0vCAaA+D5DILhabUg7sB0iW3dklmdbJ6/ph/dA5h/7ILBCFag4bLxhgonXAifBGA7FYsxr1AP/6Fjw81eAuiCfxZSLJ6LmXMSqnGxI2bUZCq5dZKFVsd2fBkW05SRerUYD6twsNlkkCFeB9zv7r1IxhQQVGcxb4e5trbYKU2gyMvJAZWXyKSYmJhTkcj+Pktua7BTI26STrWsrRMJ/oYHwTFI2tMwphLdrSw/CXdNyoWtGPns+MX0Y+IengKKBLvSRz9D7mdAoTzfQHy2qBRvzdErvy2EHoFHAXZPjv38tGQJ4o+3W+HA4FhkMxXdrgepuHbaslv8DqFf9TzgUo5tsT7qVBv+EB0OgRsOmhp305+UpoIFDKqTSLySU5XPZS4Y6BPYUNIVAmYpNrCP8CiBNEwavhB900hl7J0eLajOlJV8bCGeUVeGuKhri5bpeJQNDj0F5eZZh2+35LZiSlGNQaFBOyKBZwE24qYpnildVeSrUVCTDk8GnwN9M+J4UV4rLQZYmBGorkiDKz3gvp6rDmEKUog5nimkFf52353hRTWgdeJ09/72wPhwsbAStAq5BDf8U9lmCZUoo0AZAkdYfGiruQoxcd0/hZ0xUxTHFOFRWBLHyXOgYJPRa5WkCYHdBMyjW+kOnoPPsc+A1SVJHsM95QVkJugafg3+VVZjxAO+1eop7ECErgGuqckyJfjjwBkT52dYo8rYqhn3mcL9CKNQq4IYqDm4UJ0CInxJS1eHwTOhxuK+KgkuqClBfoTNs4feC1+wfZQ0YMeFlUNgpf10hs8nT4AQshSeJqRgeA/dE3ZsthSax9RLHv52VYmj8hl4GroGb5twpuHPoF+OG+oFLptVC81zzGn1st36S3oEa0z6CG/Pe0G3TYwCENWzGLKXWCGvYHELrNwUZz0uCMdc1p3/MJuP8iXhCvxckj1Hu6WFgLzEderIHB/cuXKJpWCNdR24+5hKezSkq/uERUGHwaLvOC68DKQyEq0GFgP1HJUERwJLzCSGHChtA//FPAfzypeSl0fB+92jNbSa7Aycktluf0wEW+OnysNAKzLEytwvMjxKGhSGby0XA0AfGEB1UGJDeQWegS8xfhuW/gvE7K69UwxNpuR77FZrLwXJEYUCi5fnwXJjxWhG20TbwquRzKfqEnGQPV1BHIR2uFSfPZY96CuH9wikMCE76xRN/czQNuMUelgj1U8LA0OMmy8vJs9mjTaAu76aKv2nuSk0FBnPbB/84QbJiaKC4zx58UFniFCb+NcNHkOxFUIMxwqCsIKXBxYnQ4nUvPdwD3v9to02VkywpJW/sWc28DZicfOjvA4blBb/9InC8xilVkBrgD3XzpV3BaCXHcB8ksnUHdjy0xGNoBoaxIDjRdwS+wiBYXkohLwRBEBw3g3SS8b462hBiJgVfus+J3sL+nwBTr0SRJgBmZA1k24tDRN7JHAzBsEew7HxYEFwMKYQGIll8OjwIuvA8CPFKY85aUNWaoG4/EH7YnwS//acCBagg0q8ApkfpEvrRYvlWxmAIABVowI+FF71e6S8IyUuChNHvwM+/XIV2d7YwJRLD74Kr1YLET96jm8IGMPQQwz0T+gxh4abomcbwquKUJFDEJQhCRAX3D3r5tBoWSonDP75G5QlDH/2CQ1i4au75U5B+YLtJfldog6YsZBRDH/OvXIDi1CRWgc8/Kgay//4D8q9dhKDKNSHzz18huGY95k0svGWcWHs6GHKM3tHSAn8z6DEoLeThkWxuxUqMxyaAKjNNFwXBg90jBUZ5EFipFkS26QfFAcEAdnqHXQEpDQ7w121j0i5Ofy3lI4gJCwgy/RKseCrMeTKwlGnK9u+gMDQQoIKutKtCFGw28l4mnIgIhkcydTdhxeHjWZnH5J+/hXL9h0NIrfrC9/JXgF9kDCgiLZcLJAiC8CQK9W56vxDLCblS8bo4kU8JEA2XWpkhhKN+tRD4L9F66NDVkAATpaG+PsSJA0NHc9SB0KpLf6hYrhpbNnl0OZik1UJegZpV2Tl+vDrs3voPDBzVFX6sFsbi1rEvQrkYnMh2MBzr+eHojW4nOL6UEQhDLjXKQgiI1SlHmJuDIW2s/PLNqxBUuToLGeUouHmFTWzzLpxmYadYbpjLx0Iw5DPn7HHIOX0Myg96SRC+yXkfMKcLJ0i2GpFwso15QbkXTkNAQnl2jv5hEaysMXqQ8dzZhFMuZ+OYI6DRDBHvz3KT9ARWrGLxGOjV5n8iVNiCKum+R3ZsRQBEtX2cPaQIrq4LVYvt/JRgeVS7zuyBxDzey+bPhJNSFQuN1SnKygf3QBYYyJQYTWE+C19kCg63vVYLOaf+YtcZi6FgrhuW6Y54uD3zymNeF+Zgsdw6Xrlqm8+nBJWh8PtBb6pM34NKHLUgfh9WmtzPz+77gZ0j9qDSX5eyrWYVgzNHyHCT0ERSGhzgZqYwWTG7yPyXKb7FQhSm1glrpVHNKSX3dnzHvApBZvoxYC7Aw8MnwMP6Jlr8WvA13jTmFhAEQfgKssACu9syBGokVAmtUW5Peq4qjFlgPXTiWkhDjNSGwhotAUAXPtEyR3c+1Sa9z2L9UW2pLWEowgkLV5azdetq7MERoABW9cZRMOQSIIL3WmeECqpUnT3MTWxD6zSSPB5OLqPaPM4eYnCy6QhYkCAgKBhiLOzvyCRWsL+DyoY7g+M+v3EmX+mR8pbgfYZeD3y45HxKMPEWfz+WjsUKZ5jxBlmDHZenSFF0hBFSGhxBlDuOHZjNor+p8y6fY+5FZQ2jtYZDLhHehJVy0n/7hTVFU7bAAcaUYnRxYZ8FvdJRsbBYkHhMEARBmIKlJc1xUlkdesF5wTJ/iXohgQo5bFjYxNCc7JtZjSAsWM6qoiz7QbqcZsN6EVBzqN7Sry+KEd+uC1Rp3BrkoVzTSwrfJAjCPSGlwQEEw4dMZjUnAV21XAOw3FtXAWrqEpg5/EQxbcidFR8yty+SXJCJmoUJZ8MCoW12IWyP1w0294IUrPIQKQwE4f1gOcAzV3LYpPXc1Vy4djcfLiXmQ2auijWmwlLQn75ej223dud9+P1UBkbQwxOP1oBnO5mvfOYLXLlt3tvQpnkCwGGh0uAn4WiYP7aOoJtxdLjOCoolFs1x8MZZGNO6N9zjNeiMb/kYKIIoYZ0gCPeHlAYnEBFofpBAm1Havq2G11LqhTYvh5Xk5BKH1YUFBoWBkXQPoKJp4t6ZhFjo27MnZJ/cYVgW/pC0V4IgiLIBJ+3Y6OnctVz4bq9pH4ZXB1Rm3WL5tbw7NIuCw6cdbzKVlaszRAybLZz8IvdSPLcaT2n01lGEmoa4+OljqPn4m6l6V7NSCIzuWwm+lS4cxDiXbKzsEsALgyAIgnBnSiStVqxYAUeOHIH163X1+JGDBw/CsmXL4Pr16xAdHQ09evSAiRMnQlCQdKxhYWEh237Xrl2QkZEBNWrUgNdeew26dOli2GbGjBmwZYuuigVHpUqV2Hu5Ay0qmoYccWACTe65fywqDdgkCBO47q1fKtncqVa+EprkFEI5pQp+jeVc2ACZwYG6mFKe0kAQhH2o1VpIzVJCQnQAKFVa+PdqLsxeZV9FkopxgXAv1XqTIimW/2gaylIShcEaEwc3BzCTB+Ur3Esz/12hUyGwUjUoupsI4c3bQVyvARD42yYA3kQfseRh7tMhHoKudofzybfgr9umuQ783LYAuffF0RME4Z04rDRs2LABlixZAi1bGi3bJ06cgHHjxsGECROgZ8+ekJiYCO+99x5kZmbC/PnSibdz5sxhisfs2bOhevXqTHnAY6xduxbatGnDtrl06RKMGTMGXnjBWM9fLmH5KYuSq1z1pK/7TYRijRpe2b5UsG3yT98AX13yk4iNxWWJH88w+374SYck6Sp+8JUGLpeiTeV6cOzOJehQnfIYCO+wzKdlFkNslAJSM3WdQ/E3Vq18EOz6MxX6dYyH8FB/KCjUVZKRVNQL1DDk3XOlds6OKgwlwV8ugyWv14XNvybBQ7XDoEOzaHa9KpcLYnIJvQ3rf7kPlROCWAfih2qHC5q7+S4y+ILlHPQAWVA+BDX5w+T+wU73rDGevs+FRkJuS/XP4dO9dgv2aHv7P/jkf9sEx+dX0bMW3koQBOGxSkNSUhLMnDkTjh07xib5fDZt2sQm+jjBR3D95MmTmacAlYKAAGHH3YKCAti2bRvMmzcPOnbsyJaNHTuWHfvHH39kx0IBe/XqVXj55ZchPl6YC1BmSMS3hgUay83xUd5NFCgNUl5xe4aMlbUeg5ev/WHSURqpHuUebcYJz8Faybqb9wuhQmwABAUalfQ7yYXw6kKd9fTHBU1AqdJAUICcWeiDAvygekXdpLVAqWEGbZzo46T1zJVc9pzj+Z7l4cjpTHj56Urwze77LB7fFvhhPJ5Ci3rhEBOhgHGDqoBcFBtz/W4+K6XZuFYYq7GAD1ScHqQpoWp569Vgpg41yuHQYKMcio5QwIRnqzr5k3gTMtAWmuYSoIKAJSWFjfHsVxo42lWpD18HhUJWoU5RU2s0oNKo2fM6MRUdPnuCIAi3VxrOnz8PCoUCtm/fzsKK7t69a1g3cuRIk/Kh+Lq4uBhyc3MhJkZY+x8nK19++SU0btzYZJ/sbJ1l/datW5Cfnw81a9YEd8RSYzcppBLqpJYh5QaNgqTvV7PnoQ2aQUynJ3T1rkVKg1Kji1+m2FjCHFydaawcuetIKnz1s/F3i+DkdOyAyhAfHcDmR6PmGnuRWGLA22cdvugb9uhC8aYv13XeLEtqVw6Gq3d0ybEv9CoPTzwaB2HB/jZfW1SO5HLHqt5gDDwHp7/hsWxRGAgH0FpZLeFVkKq4aq1UNp+n6rWGb88cMshrpVonsxVl6DEnCIJwudLQuXNn9pCiYUOsQW0ElQUMM0KlQKwwIJjn0L59e8Gys2fPwtGjR5l3Arl8+TL7j3kThw8fZoK6Q4cOzIMRHh4OjuLPq3phK3J9cyBxR2hLyEy6R5viZ+Z42FCm3DMvQvapoxDX42nWhEWKYv0AREqDZ/EgrYjVVo8INf0Z3npQCBM++g96PxoHLz5ZkVVpwWTZvEI1i4EvFxMAv53EajgAz3YtB5v3Jxn27dshnh372Hmd4l0pPhDuplgOn8H3e3vZVXAHQoPlUK9aCJz8L4e9blQzFBpUD4UfDiaz/xdv2hZa80LP8vBst/IuPlud8cPT5n6cLPM07JXbagfkvKR8dyA8iQ9fNqO85pQGymcgCMKTZLbLyjaoVCqYOnUqXLlyheU/2AImT2MSdJMmTWDQoEEGpQEVhYSEBOaVQM/Dhx9+yI67bt06u6w9HH5+MoiOLp0SdzLeWKOIiYcY7PJ4eqdJvwUE29RXGvk6JH40Xfc6PBIC4spBaL2HzB7/nX1r4VqGzmJLA5B7gRbL7Dw1RITK2cRSo9HCrK+uw6nLusmwmGVv1ofXFgmTJnf8kcoeYvgTZ77CgPx8mFd5C8CqwuAIqKjs/DOVhdXYQov64ZCSUQzvDK8OVcoFwfnrufC/s5nMyh4frYD4qADm5cA4fXMMf4JCOUoK58mIiJAOp3RnHJHbxZADlvs/m2KrScgepYHP6J8/h2qRulDbHKXlRnMEQRDuJLNdojRgKNKkSZPg+PHjsHTpUqYEWOPkyZMsn6F8+fJMOcAQKOTVV1+FIUOGsEpMSN26dVluAyoV//77LzRt2tTu88PJW3a2/S25FQo5hIWJQgasRCTwVyf0HwaB5SqZKA13gxQQ9WhXiO7Yi00uK495m1U3saW7JacwIHeyTSeXRMkoVmng1KUcaNkggk1azJH4oADGLbpUovcSKwyuZOU7DVgtf66L7N8XsuD91TcESgHmHHD5DpxygF4Ajhd6me/MmlugguAAudmQnUY1w9iDKF3QYI5faXZ2AajVGrsHrbK0djkit9VZUpNy+8PIpBQJTM63FbEXODFLp9hfS7dQl5UgCEKPu8hspysNycnJMHr0aJbrsHr1amjVqpXVffbt2wdTpkxhCsAXX3whCDtCTwKnMHDUqaNrYf/gwQOHlAZEpbK/5CA3abQ9OEmY5MwUBjPEPN7b8Dwg1nJC85AmHeG7s7+bLC8oVtpxZgTHpcQ8NiluUT/CsAwTUbE6z3OiCjwfTawDb3x6pVQuXo2KQXDjXqHkumkjqrOKOf9czIGrd/JhUNdyEBIoh1+Pp8G231OYd6F53XDo9UgsnLyUA11bxUC9auattK0aRsKOj5qZXc9XFmzB1nwAomzAwccRGVjW2HvOGhsGWU6REiywAXu83O2rNYIv//7F5u0JgiDcUWY7dWTPysqC4cOHM08DhiTVq1fP6j7YawHzE7Avw+LFi00qLGGIEyoimBvBgR4GpHZt8/0RXIqNg4o4PMlZNE7AaimmSkOrSjplylfBif/gGf8yr8Bbw6qzSj5YdhK9Bbv/l8oq9cx9tbYu2RcTEos1difyOkNhQMWjWKUVWNq/23sfNu5LgicfjYNej8QZkmDxM73x6WWmBHw/7yEI5lUxQjq2iGYPjp7t4tiDT7uHTBsDEgRReuFJ5vLN7PFWEARBeJXSgL0Ybt++DatWrWKJzykpxthqfI29FbBnAxIVFcWUjLfeegsaNWoE06dPZ685MDwJt8HmcBi2hGFOffr0gRs3bsD7778PTz75JNSqVQvcvXqSK4YEcwNN7Rjz4SLeTlGxhikMyImL2TDwHWllYOQc26oCOQpW3nm2a3m4nVQIB/5Oh/6dEiAwwA+0Gq2gbKmYIT0qsIeUhf/Ltxu49JwJwreRCVQFWwtdOJrTwOfllj1LfAyCIAiPUxrUajXs3r2bVUxCb4OYAwcOQOXKlWH8+PGCakhYWvXMmTOsIhKf1q1bs23QA4FN5FauXAlfffUVC1166qmnWM5EWcFVvnCkepIzUGulXVT++n4N3gRWAYqL0iXIpmUpYcT7wkk/VtY5f921jaraPRQJg7uVg4kf6yp5Ic3qhMHpK7mG7q+j+wpDzzDZd8STlLhLEO6GLFCU56B1zLrjSBEOMVS8giAIn1EaFixYYHiOXgQsl2oNVAQ4cPKPD2v06tWLPdyFiymJhufWxhrsweAXFAwRLdo57f1rRZd32SBWluTmq5hlPSldCaPnXbRpH2coDDNfqglVywWx3gRPto9j51C3agi0ahAhaHy2w0LMP0EQnoFfqJV6SjbaeewNLepcowkcvCEcIyk8iSAIT4KyFR3AXAddyW0BoNrkD0DmxAk9KgeYWHck8Tx4GskZSthyIAnOXM6B+2muSdzu1zEeosMVrNZ/WlYxtG8axZLYMYcBw5iw8zB238WkIoXCDwIVuu9mBykFBOGDWA9PupwmbIboCM837WSiNNjjtSYIgihrSGlwAD87YllxOHKmwsDRp15rOHX/GuQppavruBu/n8yAxRuMHpqSgh17d/1pLDGLzc7wMq94u4FZpS5A4ccemCitW+DZnhmCIJyASEdwQe0KRmhAEMs7u8ors9oooaqL3o0gCML5kNLgAIJJqRWvQ3zvgeAKqkeXg6/7TWR1vqft/wZGtegO7oyjCsPcV2vB9OXX2POalYLhraHVoVxsAMj9ZDCmf2VD/XZLPRQIgiDMUzqyA0OR5nYdBhqtFibuXgEhikCID42kL4YgCI+BlAYH8OMPMiZFvoVENreey+BoXCsqL7VjK8LmQW/ZFTLlLLiSpRj+8/qQqpCZo2KT97AQOeTmqyE2UgFvfnYZ/kuUbsiESgCa9a7f0yUmPtM5AX44mMyeV4wLhBXv6KoG7bASNkQKA0EQjqItDAUZP89BoqQ2lkx1RigRymm5TAafPzGmTGQ2QRBESSClwQESwqLhbo4uNMYZgn9mpyEl2r+sBp85X+s6CB85k8ketjDx2SpQLjaQKRSoGIjp2yGe9TDgeikQBEE4E02BsMmhVu1vNTypU40msPfqScPrpuVrlOgcSGEgCMIToaBuB1DwGvU4Ivw7VG8seB0XYuxE7I5g+M/kTy7BU2+choycYrasoEgNpy7n2H2srq1j4aFaYZIKAxIVriCFgSAIl6HJiRG8jglXmCgIYh6r1kjwulFCNRedHUEQhPtCSoOLOkLHKVWw5mnpXhKvtuoNPes87Lb9FbA3AioI63/RJext2PsArt7RhRANm3WelSYdNE3XSM0eWtQPd/q5EgRBlIQAXkGEpU+MgcblTBWCunGVYF7XYYbXVCqVIAhfhJQGFxEVGsGqZUgh9/ODqpHxgtdlTW6BCpb/eAeyclWGHgnf70+CS4l57D+f5HTzpVIfbxHNGpvxWT2jIbw6oDK8+TxZ5wiCKGNENh++rzghLMrsbpUiYiX3IQiC8BUop8FJqAsLIPufPw2vVfmWm45hBQ3Dl2BHCVdXhR89N+Mce777f8YypsiUz65Y3DcuUgHzxtbWlzw1P5T2fiTOSWdLEARhH0qteW9uoEIOoIu6tLnUNuUkEAThi5DS4ABSwUmpe36AvPOnAGon6Laxkuug5SsNZRye9O2eBw7v++U7DQzN0QiCINwRjYRvYM6YWnDxZh5cVfwHt6ULvAmQ85UG8jUQBOGD0GzPSRRcvyRcYE1p4Kke8jJUGrb9nsw6NFujRsUgeKFXeahdJdiwDPskkMJAEO4MyiES81I0rRMOg7uVt9lrwM9jIE8DQRCuw73yXPmQp8EB+BN+Dk2B0FRlLVWa72koi6S6tCwljHj/gtn1YwdUhi9+vMOeY7UjDEFCnu1avtTOkSCIkqHVVgYZs5Djb1lNlxMAOreMgaEjG9vtNeArCpQITRCEa8CCMVjhLQsAbCtlX5qQ0uAiZP7+NisepWm1KlZpYOO+JLPehYSYAHhnWHWoXSUEelEeAkF4MH56hQHBwguOhyF6E0GBcogM45fNtm0/vpym8CSCIFxDJO8/KQ0+gzw03OZE6NLkp0Pmw5HWvteINV0jCMLTCQMAY7UfAOyLUs3mCbIv4YgCQOFJBEE4FzRkVBIt4ypOls18UQoKdnUEC99fkFrD/jeJEX/5ZUd6djHsOpICarXWbNLzt7Mbk8JAEB5PgN61bVQYcnIKy/SM3A2xiiDVl8HeYxAEQTg+DcdSz8Y5Y2pqrttKHApPchr4pWph8q10uBISAE90ag7ugFqjheGzz7PnX269K7nNV9MaCNz1BEF4EuhFMM01Uqs1kJ6eZ3geHBwAxcUqCAuT7h/j3ZgfdHvVaQlhAcHQMKGK7Ucjlw1BECVC2liBCgPmvKam5kB4eDBoNDrZ7S7QTNHJ7odItQZa5hRCSHwFcAc27rMcx7zjo2aldSoEQbhkMoyeBVOys3Vd3JHiYjUUFxeAvz85l8Vgc83HazxE9yZBEKVEsORSNO5wRXLwH8pwlNmkNHhZ9aSi+7cFr4Nr1XcbS9TmX6XzF5rUDoPhT1Qs9fMhCPPghFYX3ldyMDwnw4nHc0fvApbl03WWV6nUkJtbxP4jfn5+bAAiTHEPyUwQ3oAzZXao3vhqQ9MUj5U8EfpQJB2oFCiVKqYgoHKgUrm/zCZPgxNI3v6d4HX5QS9BWXLwRDp8svGW2fXtHoqEaSNqlOo5EYR5UJBG65+jZ6yoBBcrRm/F8dcnA3tjqVFxkjNAXp6SeRM4SGGwgBMMOvyS2QThe6B8RaMj/pYw/j6tBMcK1j+44jHZeoOPNyEDgKomS4uKVIbnnqAwIKQ0OIDJcCEaQGR+1kMAwgOk3VPOwJLCwCkNBFH2BOsnwCG8ZRibn+iUmH6jQuItA1A5vWVPGN+akpJTZmfk9khN7p0w4Q8N8MW8EIII1MugBN6lCHNAacBjVPEBmR0KAHEm3pPMzHyBkceTIKXBEcSDDk9JiOna16ZDPFqtIfybnAiN4k21z5Jw9Bw2BDHllacrQfnYQPjvZh50elg6BpogSo9Y/WBjCZyYFdptdUdQICsUcv0AhA8M0/OkKkKWBlVhkjNRerzSshdcSr0DbSvXo8tO+BhyC8YZNGQo9QYc/G9JMcey7tKh0Ua5jUnCKN9SwbMor78GYkK8xsBDSoMT8PM39jYILG9bqVV/PzmMa/MkOIuM7GI4cyUHPvpO2svQsUU0hIf4Q8sGOIEifBtOwJe2exaVAEzOrawfgIwuWoztDA5W6Cv7iKtKJOv3k/ocQoWhsLAYgoIUBlevbgDirPT2ejDKsouz8fpIQWVUyyY8qUutpuxBEKU/VUOZpikDb3Ch3mIulLU4AcafUlwchhWJC78U6OW2GJmJwoC5WGFhuol2fn4RREZynudQvYXeE3IcIgW5ClJg7oI3QEqDEwYdfiK0VlO6P2qMre0z5YzFbVZPb8gUBoIwtqhHAZYioTyg25kfOpdYwiY1afrJPRevii5ZuUGIajRayM0tNCgPYZLOhwT9uWKug0x/7grBQMW34OBx8NiBgf6gUPA/SyzPjY4DksaMMlISqjl43eR6ZUooXgoKlBAYqIC0NF3dbvxMaI3D60Y4BiVCE54HX56Ka/gH6Y0iHPfQZl8C2YUyMcusVwEn+Wq12kqkX7Be7sv0cpY7n6ompUURLAWNMs1UrsXzZCmXp5bpogn/fQeMadVMluDYg8YqDEFC45VcLgO5XE5Kg09jISZWJrdsIXQmpy/nwLsrrpldH6CQwZZ5TcDPj4ZJb+4NYh8xPAHMTbrv64UmCnZxrk2cfqCSep9A/T4aC3WnxaFDcsNkGAcfPjhg5OUVQWiolHtXVyVICrHLl7PooPLADUzx8eG8AQc/ExeTnqFPvHMEvpsdrwO/mzp3LXL0ljJroVGmeUZodcMEZ/514ifOEY5B6hbhWTI7SiRPY/VGFG4SzZc7oJdJaMiUMmDK9aGPxbxtFaIcAi4x2RTsHSCe/mCYZEwMGmF0FBUVM0OHqffBCBpB+MUE+EnAnDzHMqM6D0ScXompyJOViSW4/qhgcWNMBu/6VtArTMH6ghzWwqz8JJdmZQkNUdhUV632HrlN5mcHsHQblWapVUsKA/LjAnKjeypabTTIZIH6wUEtmowW8ia99ghPcwnwnHA3DhQYLhQRga9xMAgFrRbPQQkyGedyDuBZovAcjIOGLYgVBo78fCULMYqNDYP09FyQy/147mpTrMWIcgMTKim6Wtc6a76RaL3lzhYPIX4fKt73wXeziwdujnD9Q6qKk1x/DD/BgINKDyr65E0gCE8iWC+3cSJaIGFAyNPLSXsqxAWbkdumRhT02BobN1bRG0MiRGNEZZE3gpNbXPU6sFvWYn4VrkPFAWU3yvD4eHPyUFrxkAKVD53SoBuDhETZ6HGQ6x+cB0GcQyr+3NwYWN5CTkWkSdlUVHrwOrhJpX2XQkqDs5GVTvMkayX/Jj5re3dToiRg6Ey6fjJpjRBefKZUjCoKLPxey/GET2WeVYnbNsiBOtk4yOgm3yjccDJuVAxMrUDiCasuxj5YokQqJ4iF0hIn6Th44OSfP1Dg+1mLx8f35gYodINzz9FbgN0xs7ML9a5sjV1KCr9BDp4DupAx/0E3ccdJva3J1iqB6DQqJFj6tIh5A/iWN+N9gh4d851AccDlvCSkMLgOHxjXCYtE6hV4cZiPFIH6bTn5rhCF/igEBgSd3E7QT8ojRVWFQnnyE2W6NWSiKkU6o0JkpKnMxpDFggLdeRkVhwjeOeJn4M8J8HxNCymgrNV5ZXWTdpS1mGtmizziF2bgZDbKQRxrUN6ibEOjqq3Fy/A9uRw1Dgz5iYoK0V9bVIo0NpY45RvajLlvUp9b+H2l8jz04vWm3l9fqMRMSoOzKQVVs6hYA4vW35RUFD7drMuveJwqJJUCXEJvJb3iYMnqzVkn8vTb8a303E9ROECYWpWkrB4RViwuKBhRyIYIBC83CGRl5TNLPobChIQEskkvtw6Vh4AAfwgP5yspUhNemVVPAidM+V2K7aWklSe4z8oNGtgITTdwcNU6+NzieWEUZsUmd054zTCsChUI/KwZGXkGl7tuMArQH0tYLpUDFSBKbi4dZKQ2+DBBonAfNOJYMj5wcvouL6+AX4nNXINUbrlUhbMQG4w9XL8Z02ppKJdxMq7L21IYCkkgqDigLBIag8ydo9CwIa7GxslwThlxBNMKb/bNqlEmcpN7fC40looNo4n66xoiERYbJDgnvJ7omcEkbhzzEC5vDK+fUYGQNvBwoJz3NUhpcAgLOQ2l4GkYOvMcFBQJBc5HE+tC3aoh8EiTKAgO9HObjtTeiVSjFhTyRXo3aHm9FYRf9YH7vriQH/5+qHDYUvcdYzullBG0hiWJYmbN9y7gW42USp0lH7tRotLAr/DAWXoQoeKgA4UtJub6+xvzFDAGny/YMafAXaLI8bPyrfmWMS2FLLZOoRLCgV4VfEjF6BrLCAaYHI8UBYIoLYzeVmF+QKJejipEhhn+GMqvimhPJTahIQgNFTp5WYV3DH6eQzUTT6ZY1qBcRrmKMhuVBjT48EElQtpybpzoRkeHiqogoQdAa3jtTuGR+NmDggKYvMTPbB7TCT7nVedA2c81vsSPyzdE8T+v+BrxSfGCsqklgZQGZ+PipOPkDKWJwrDjo2aG5yFBpZeI7buY661RwUzVh2ieq1gs9ML1SoNprwFxgpk4htK4zs8mq4hU2JEtSCkOONk1xq+Gm81TcLfOuVKTdH7ytdRgwX1Wc/tbAz07xnKyuuuEChZReghuQ7Kn+OhUJ8SG2vpo5Ci00jAS9AqGqdeQXz6UD8oVnLyahoNy1ezE52qc5IoTax3xrJqb8HIeCrGcdheFgTP2KJXCa8CX0xj6qiv76rzJPY6vfMULlb2MDE8o/ermSsOKFSvgyJEjsH79esOygwcPwrJly+D69esQHR0NPXr0gIkTJ0JQkLQltbCwkG2/a9cuyMjIgBo1asBrr70GXbp0MWxz8eJFmDt3Lpw7dw5iYmJgxIgRMGzYMHAHCm/fEC5woadBrdHCqDkXXHZ8wn6FgR/Pbko1fZiLtd4YOGigIuhniCM1h7C0KFelgittZx4MfynJQMCF82AlCPEAg5NiTwYHZvQG4OfDj4bKFQ5IXNUxTmEoCejiLyxUuZ0SRRDeT7DA4m+ayxUo8iLcs6IwcCE/aQbLPhoeOAu2rtSz0XjHhSriAyee0dEhvFwpc8UpdJTEE4mTbZRlKMf4nk9uoo1eU0+uxoaFMnDc4zwGmOuB4bT8UKOSYmvSti/hsNKwYcMGWLJkCbRs2dKw7MSJEzBu3DiYMGEC9OzZExITE+G9996DzMxMmD9/vuRx5syZwxSP2bNnQ/Xq1ZnygMdYu3YttGnThikSL774InTu3Jltc/r0afY/NDQUBgwYAGUB/ybKPn1MsE4ebL7Si6N8+8t9yMlXQ4t6ptr0oK78+sy+SJRe8Kr0cadR+kl0Cm+CjxN3R3/53DXPkZycixNsrSkZOHn38/Njwgit27p9jd+rWGHA4wcF+bPl4ogzXBYZKdMLSlPvB74Hup2dZTUSDzwcOOH2dPifAa+XswYdPqQwEAQ3SUdPrFw/QefKYGKhgBC9ZzZTX2bTERT6cSBFMkTIujysKFmVCCf/uC9X3IHzDufkFAjnBNkF+upveSychi830TCBskV3DFPvMu6LRgxnTVSlex/o5jAlyVVwB9CAxR/XHfXIWIIUBicoDUlJSTBz5kw4duwYm+Tz2bRpE5vojxkzhr3G9ZMnT4YZM2awiX5AgHByVVBQANu2bYN58+ZBx44d2bKxY8eyY//444/sWN9//z0oFAp4//33wd/fH2rVqsWUkZUrV5ad0sC7UXPPHjc8D6nbGPwjLHcFdMS7sHm/Ll599/9ME2H7dTRfv9774Yf9+OsHC85yw59El+dVrrEXznWsFQh5tD6bKxsqjF0VTuK5+EoURtYVDp0nw1IoCwpKfuwq5/nAAQvfgyaqhG9jOmGiROiypryZCTo/byCqBEpDOV5xgzzJEE18cHH7nEeRKwbBB+Uo56XlJv9o/eeHaoonlsLqb6aGFnNKC44pnmz5J3wDu5WG8+fPs0n89u3bWVjR3bto3dUxcuRIZkXlg6+Li3GChRn/wtg9tIJ++eWX0LhxY5N9srOzDd6L1q1bM4WBo23btiw0KjU1FeLipJJDXYu5QSeixSNOf68ipfkKC5j87NudnsWxo+ZqQ+PEHN3RJbFExJpUX+DgBgj0BOjuf2zmwq/AYNxGbK03Wp0cd0Xz42jxuSVlhiAIouwQj1dc7wJzk3/sC2Ov2Z2/fahkM0m+JxGVBjTmoLcR5TdX7ICfA8afzOPknlMaHPXi8uPlMbSJX0SBINwZu2ecGCaEDykaNmwoeI3KAoYZoVIgVhgQzHNo3769YNnZs2fh6NGjzDuBPHjwAOrWrSvYJiFB5268f/9+mSgNfE8Dn+L0ZIBa9Z36Xv87a76cJlZL8m1UIsXBUoMavGfQU5NnR31sU+UQlQUp6xFncZJap4u9lIZvlXIUHBCxVb1tVYEIgiDcZcphKbQxSO8xtrVSUZRk5SHEkiFF53nQnQffO2xJIXBGBR3MBcP8B1IYCE/CZWZqlUoFU6dOhStXrrD8B1vA5GlMgm7SpAkMGjTIkCgtDmsKDNRNFIuKHLeoWi7dJQ2/dJcUfoHSrddLwi6JkCQEy6oSoaKEYH+T5GRhBQmuT4Iltzleb7QAGd3PfBd2YaHS7nsHPWr+/q4t2cIl6zpyX/PvbWv3uDdBn9nzsPf+Vkvcz1Q8qSwpZ5DRaNGXySJMwjmlqv6YJ4rXqE06qRhDNG29b3QNI/3YOTgqS20Fz8t6GVHzkPzyDeRuNja7RGnAUKRJkybB8ePHYenSpUwJsMbJkydZPkP58uVZyBKGQHHeCKVS6LrjlIWQEMcs7TgBNFeDt0S4oDfC1dumITWYED38CX55T1/EeOvqFAYj/DwB4eBj7nb358XT4n+hFYlTGJDQ0CAItfPWccm95iKkOkR7O/SZPQNH5HaxNph1TCHcC3EuF9/Cb6ow8PsY8OGXmFZaNNrYe9/YrrSUPSS/fIMINxmbna40JCcnw+jRo1muw+rVq6FVq1ZW99m3bx9MmTIFmjZtCl988QWEhxtjwVGJwGOK3wMpV86xykFoOc7Otr9MJJZRM7ZoN8XVDdXiIhXQvW0sPNfdWjk4X8DPUG0CQ4K4QQFDdPD7RSsWxopyXTNDQiwlHPMT8JBwgyWIKyeKgxrGsXprB0iuhjh3PX0B+sz2fc94f5SltcsRua2WqqhCjS/LDK1WA8XFGiabcWLOGWT4dffxOcpbrBqnUOAUBR/iSj9ieW4cEzm5j+AxMVcMPRneBskvGqfKQmY7VWnIysqC4cOHM08DhiTVq1fP6j7Y1wErLGFfhsWLF5uEIqHSgVWZ1Go1yOU6awTmPGA/h9hY05JlJS0faQlOwJmtSCN3rg4mfp817zVy6vE9G13+Aiav8WNP8QeSlZXHBg0ueU2l0tXQNu1qLNXZ2QgqDNx9gv+dUa/f3cHr5Mhvw5Ohz+w52HtvanxkYuEZyEEmwxKk2PNFw8JKOY8DvsaQIPzPVSrC9bqmXbgNX/ZabmKJsp+7T3yhey/JL99A7SZjs1NVEOzFcPv2bVi0aBFLfE5JSTE8cNKPYM8GfHBKxltvvQWNGjWC6dOns9fc9tw2WFYVlRBcf/XqVfjpp59YcvUrr7wC7kZoHedO6jNyjImtvR5xXEHyPnCyHyRQrDjFgdOqxaXrjIoFXykVKgze6kUgCIIoeyoLQpHECcDYjIxvADLazPihRULDD1ayIwii9HCaaRyVgt27d7OKSehtEHPgwAGoXLkyjB8/nr3GLtKHDx9mpVXPnDkDHTp0EGyPZVZxG/QmrFq1inWEfvrppyE+Pp4lWOPzssJcTQUZryysMxg++7zheWyEuXKivobQO8ANLNhgB93d5roTG93TmAtyW9+BWYizmqARBEEQfJkdKmiWxpe31ptDBuuNPahkhEskLhuPayl8mCCIklOiWe6CBQsMzzF0CMulWgMVAY6nnnqKPayBidSbN28GX0LcyK33o6VfWtb9wEZ20glqaKXi19UWI1yO5VSN6ZEYdoRxsNw26N7m2tETBOFdUPWk0gQn8Zh7qBJ18tWRmpprsQElhmTovMdo7MkwyH9cjmVUcVdUHHT9oLwvb4Eg3A2aGbkpy3+8I3jtG03c/PSDjMpMNYwQi65p2z0FWLI33uAiR4WBA2NgsQQeKQ0E4T2QD9GVBOllt5SXlytWohu/sNCC4HuxoDCYro+WlP1pabrnri6RShCEk3MafAcaglxDOf1k3no5Wazz7YwqP9YGLYIgCMKSAYaT29ZDg8S5ZtbwlUpuBOEpkNLghognso82xQY23k6AKEm5ksWgAkfyD6Tc1+TSJgjfwtWlsX0Lfvlvx0qgO1PJIAjCtZDS4ABSxunwFo844esAyMpVQZ8pZwTLxj2jqzrh3YjrbovDsYJNPA32gq5xcYUkUhoIwoshR2IpY14hwxKqjigNWVkFgnLXXCI1QRClDykNTiKuh3OqOb0w85zJsjCvzWeI4FmnpEZ3udnByJGoIq7+ty/U7iYIgnA+WMUPjVjmxqRIs3vm5Bhzx+wBC1NggzauYVtBgff3yyEId8VbZ6OljsyPP8F1HkvftN4gz3OJ5jXrKTJYlgIDudsSFYp7+ue6eFlnTfhTU0lxIAiCsI+KvPDRdMNSnNTrmmei0pApMPqgh9cZYUboceAarBIEUTaQp8EBtKXo866SEORDCXW6AYazKOmsWhxhTn039FRQDjRBEISjxBgUBmGYp1yw3pn9b6iXDkGULaQ0uDmeaVmJ0HsPyoNWK+y6bERu0aJkhJxhBEGUDP60VUadGsxMBVBmx+r/S8tnrdbUY4B9ErDKkXFCX0lQIpvyxgjCe6AZmRux9bdk8K6wo0AwLVQSoh+QYkTNeyzdopVEXZ0JgiAcg4onmTP08D266OVV856j3I6SvHacx1ZX9U+mf3DHIwjCmyClwQ1AYTvlsytw+ZawOc6Yp8VlRz35NlPpBxJjgx4kKysfQkMDWUdPflUM7PYZFhYoGHz4TdgIgiBsJTTYONRRWKIU4mp0qCQUivIYdGAxiby8QoiMDBGEJmVk5ENcHKd0COU8QRDeASkNbkB2ntpEYdg89yEICXJNcrVrkfIaoPKTiEO3RIM2LWRnm5bQw3U6pcFo2qLBniAIR/DEIM/SldnYnI1PuD7R2fTKcWWrxUUp0PiFoUpoACIIwjshpcENugirJRLFPFNhSDDppyCkSNCPwbaKGsZEcEqCIwiixDkNpEHwCBQ1aOODF8o+BUA8NFJHZ4LwLsgkUMacupQDw2efB+8g2CT0yEiU3nrl2ICCoUk0ABEEUXJIazCisCCzq1rsuyCFOOlZ3EyTIAjPhjwNDiBzoqnqvZXXTJbNfbUWeDq60qn8ASRS4KnB+Fd7PAf5+fZ3gCYIgiBstxuizMaS1wEB3NQgXKAAYD6DJXTFKnSKCDXRJAjvgzwNDvBo1cbgSprUFlrkPYMKgldc6BE/uZkjNTXXJq8BZ6XC/AaCIAiH4Rl6utRsSheSIRckLHNyVljyGgwKgDWFQXcM6tZMEN4MeRocIMhfF5dfuwTW74zsYtiw94HJ8pFPCStVeA7GXIW0tFzBIBIWZsxLkFIizIGDFFmrCIJwJqEKXSNJQtdHgZPZfM9vfn4RhIQ4dp1IZhOE90JKgzMuYqT95eWGmcljePpxTCb2NCIFHgZLYUe2JT8TBEE4A+cWrfAeZIZeOYhYZvO9CpRLRhAEB4UnOaV6kq8n1mGSs20DDFVAIgiitCHVQUy0zXl71B+HIAgO8jSUAGerCo82sa9ShbtRWFjM3NpSy4OCFKyGN2EEr4da7R6eF41GBoWFclAqsUqVb0yx6DMbv2e53N936utTzVV9qVUdmZnCHkFIUVExhIcH+YSnwZ3ksD2Q/KJxSl4GcpuUBjcahOpXFzY/8zSwO6gUcrnupvaZSYkNnqrs7HQoKDDmfrgDqal+PqfY0Wc2EhwcBhERMU6tDke4dw6aOJeBg+9M91alwV3lsD2Q/PINUi2MzaUtt0lpcACtC5rDPde9HPRsFweeh9xqrgIqEzExoRSapIcbqMLCoiEgINBtJmlyucxnvAwc9Jl18gg9TLm5GeyaREbGlvXXQpQStoSLOrmXqdvgrnLYHkh++QZyibG5rOQ2KQ0lQv8lau2zxBQVC7/8wAA/GNJDWLLUc5BZLYvKWaqw/revo9GoDQNVWFgEuBP+/n42lVX0Jugz68BJE4IDUHh4tFd7BT1vauh8tFo1FBX51m/dU+SwPZD88g38zYzNZSG3SWlwAlHtuti1fWGRsGtmkVLj8UnQ1ow0umZvpDSo1WrBj50g3AXunsT4bj8/YwllwvuQyeQQFCQ3G1Lq7d2cSQ4T3kJAKcttUhocQugpCK5Rx669C0QWnnke3QFal4ch7P5sCpVaFeKJrnDCu/Hme9JLI2wcpKIh2dkSvuB19OZ7nvANZKV8D5PSUAJk3Ehk55d2+JQuBg3ZPPchCAnS5QUQBEEQroWmiQp2HXJzTSvdEQRBWMJ7A1dLEzuVhm/3GDtBe7bCQLcPQRCEJ0I9cwiCsBea9TmAaW83WYkqJ3kuVcr6BIgyYty4l2Hu3FmS63A5rreV1atXwDPPPGV4/eDBA9i/fy+UBsePH4OpUyfDU091hy5dHoUXXhjIzicvL9fkM7Vv3xLeemuy5HHwfHG9+HMXFBTA2rWrYOjQQdC1a3vo27cHvPPOFLh06T+Xfi6VSgWbN29w6XsQnkhIWZ8A4WQ8XRbv3r2DyU7+o0OH1tCzZyeYNGksXL5sKiv/++8CzJw5Dfr16wWdOz8Kgwc/DZ9//gmkpaWafB483vDhgyXf+9y5f9l6/mfm5Of332+EUaOGQrduHeDJJ7vC5MmvwcmTJ8CV4Pzwl192QkZGOrgrpDQ4AZkdDu/0bG9JBjYm8lLHUMKZzJ07E44d+8vlF3X9+jXw+uvjoWbNWvDxx5/DN99shhdfHA0HDuyD0aOHQ0pKsmB7f39/+PvvYyYKBXLgwK8msaWZmZnw0ktD4eDBX2HUqFdg3bpNsHDhJxAYGAhjx45y6QD066972CBKcPC+G5+NY0evdlhZnwThQZSWLEZ+/nmP4fHDDztgzpyFbPKMMjo/39iAcPfunTBmzEgIDQ2FefMWwYYNW2D8+Nfh7NnTMHLkC3Dt2lUTuY3Lbt1KNHnPgwf3mcjtoqIimDBhDDO6PPPMs/D119/CkiXLoXr1mkyJ2bdvj8uuwenTJ5miV1hovkBBWUNKgzOwYww6fTkHvOMDl/ephDmi9CgNbxwOMCtXfgHvvjsbxowZB3Xq1INKlSpDly7dYeXKdayRzvz5Hwj2qV+/IatU8eeffwiWoxKBA2uTJs0Eyz/6aAEolUpYtmwVPP54F3Z8PMbMmXOgceMmbL2rmul5l0eTcA6VsWwHXUzCLeVIbGyc4ZGQUA5atmwNkydPhczMDDh58m+2zd27d2DhwnkwcuTLMHXqdGjYsDFUqFARHn30MVi27CuoWLESzJo1zVAdC4mLi2cT/kOH9pt8tkOHDkDTps0Fy1ev/hKuXbsCX3yxCnr1ehKqVKkKtWvXgYkT34CePZ+ATz9dJFBifE1ul0hpWLFiBQwdOlSw7ODBgzBgwABo3rw5dO7cGRYuXGiz1rRz5062j5jly5dDvXr1TB5lhbYEtTiWbLoFnk+44BWVUnWOsChSqsvk4WpBdf36VZg6dRJzNz/+eFsYOLAvbNz4reS26EpHawu6aDmXcVFRIXz11XK2X+fOj8CIEUPgt98OCNzbzz7bz/C/U6d2zOKEioE5fvxxM9SqVQd69Ohlsi4sLIx5HI4f/wsSE28KLFaPPdbRZPD544/foVat2mzA4khPT4PDhw/BwIGDITxc+HtBy9abb06D999fYLbyRXFxMXzxxWfM/d6t22Pw8ssj4Pjxo4b1OCji+v79n2Cfd8iQAbBt2w+G6zFv3mz2HF3vrnapuzOcrHb/obh0ycx0zaTH0/FmOeyustgSAQG6EqJyua5mz/btWyE4OAiGDBkmue2YMePhxo3rzCPMp1OnLkxB4IPnhEabZs1aCMKSdu7cDr1794Fy5YyGUY6XXx4Lixd/xrzFUuB3uGHDOnZ9MNwVr8++fb8Itvnuu/UwaFBfdm0GDuzDwldxP5TT6OFAcDleQ3fE4epJGzZsgCVLlkDLli0Ny06cOAHjxo2DCRMmQM+ePSExMRHee+895qafP3++xePt378fpk2bBnFxpl2RL126BH379oU333wT3AnDcC+Te40WaRtGLb642HKpVcK2+2L+tyfh6t2sMrlctStHwjvPGwWnM0GDAcaCtmrVFr788muQy+WwY8c2WLYMZUcrZuHng+5mzDFASxNamZBZs6azHIApU96BypWrsNCbd999G+bOXQQdOjzOtklKegDbtv0I7777AYSEhDArPrp5N23aKjkxP3PmtGFfKR5+uDX7/++/p6FateqG5Z07d4Pp06dCfn4ehIToyg1jOFPXrt3h6tUrhu2uXLnMJvYPPdRU8vj4OSyB556YeAPee+8DiI9PgD//PMwG+3nzFsMjj7SHrVu3sEFw9ux5hvWLFy+AGjVqQ5cu3SA3Nxc+++wj5uqPiIi0+F6+hq8GJ/Ehue2+cthVJTTdVRab4969u8wwgpN3bmJ/9uwpaNSoMTPgSPHQQ02YN/jff89A27aPGJajB3nNmq/g9u1bzHOA7N+/Dzp16io4p3v37kB2dpZZuR0XF88e5kDvNeaA4PXCcQOVLpTLKI/79x8IR44cZmGx778/D6pUqQ7nz5+FOXNmMm8Jji1z537IxpevvlrHwma9QmlISkqCmTMxzu0YVK9uHEyRTZs2QZs2bWDMGJ22hOsnT54MM2bMgNmzZxu0Rj54MefMmcO8DLVq1YKcHNPwncuXL8OgQYMgPt78l1WW+Cl0JeysceGGsFlOnSqempRmvG0on8F3ZzJoQeFbmTgwJIcTupgIPHDgc9C//yA2gCAY3//dd9+wOFPxQIUTXBwQ0JITHR0NN2/eYJZ8zAXAyTK3P07Q16//2jBQoYXozTffMRxv8ODnWcJxWlqapCEiKysTwsKEHgA+UVG6poUZGcbyyEirVm0gKCgIjhz5A7p37wnZ2dnwzz9/M1c5X2nAgQcJD7e/2+ydO7fZwLNmzQbe53mBHR+vG16Hu3fvMotbhQqV2OcbMOBZqFq1OlStWhUCA4OYtwRBVz9B8GU2KQzeJYc9XRZzoEeVA4/h76+A1q3bwPTpsyA4WBdWhwZovkdXDHZEjoiIMEkkrl69BpuEo5d42LCRzKCD12v+/MWCnA2U54jYO2wLBQUFsHnzdzBr1lzD9cGQ1AcP7rNrjEoDKiUBAQooX74ilC9fnj3i4hKYYqRQKAzjRVRUNJPjXqE0nD9/nn247du3w7Jly9jgxTFy5EiTNtb4Gl3tqBzExMSYHO/OnTtw//592LJlC/M2bN261eSmv3nzJtSsWRPcFb8g2+JE07OFzXQGdysHngcqflEsJAm7PHuN86QMQUsHWpiUxWWTGxKg8HPIutW+fQd49dUJJsuXL/8MsrJ0k2YcbFBYokXqypVLbELMTa5tiefnktrE+QLNm7eAL79cJlhWrVoNw/PQUN2kWaWSbmCFQpkbIKTgJv1ixYILUcIBB5WGw4cPsrhatPaLj4/gdbDmVRBz+fIl9n/s2JcEy3Eg5c4HrymGP/Xv35sNzqjMoDUtOtpUxhK+Do7JulCLtLRcKrXqZXLY02Uxx5o137H/OOHHEKj09HR4+eXXmBXeVrmN3qLc3BxJgxBa8lFuo9Jw6tQ/zPiDuWV8pYGT25z8t4ebN6+DUlkEs2dPF8yDUUHBeSyGdnXv3ht27doOzz3Xn+VZoNzGfDdUHjwFu5UGzDmQyjtAGjZsKHiNysLatWuhcePGkgoDUr9+fVi3bh17jkqDmKtXr7KLvnfvXpg7dy7LbG/VqhULVUpIEA7UZUFYY9vDOj5cL8zeb9XQfitk2VOB/VUo5KQwOBEcLAIDPKtnB4bnSE2IcTk3UGEJvFdeeZENWI8+2oG5xhs0aMhi8W1DWivFQU7sopbyZJoLCcSBD13H5sBBBUGFQAxOzt9++w2WDIdVkzA0SQwmPOP5YXgTutPFnDhxHLZs2cg8FGJvgFarG8AxsY8LgeLgBiN0sW/evA1OnTrB4nf/978/WCzttGkzWfIe4Zxqd94Bjr062UK9GbxPDnu6LObgzh//f/jhEhg9ehgLp0KPa2SkzvOLScuY14CTcKn3uHDhPAvDkpK5qDSsWvUlU5ZQbuNrMejFiImJZeFNKOfF3Lx5Az79dDGr1iQOH+J+W5irxg9p5VAoApj3AJWjc+fOMrmNCguOA+ixwTw6T8Bl1ZPQKjZ16lS4cuUKC2dyFAxNQtA99emnnzLF4fr16zBs2LASlaXy9/ez+yGXm14urdoxq8ScV2p5dAt7PHdHrqEnPLjvGf87/9ju+Z1zt6Kzb0m0aqFlaPnyr2HEiJegY8dOhhBEc4MI/3eBycqIOJEOcxLQ5ewomKB869ZN2LnzZ8Nn/vLLpay8Hw4YGP+K8bH16tU32bdFi5YQEhLMEgTxPB5/vKvJNujexnjZLVs2mZRoxUEW41qxBCAOUGJq1KhlGORxAOUeaKHikuPwuGg1w4F/7NiJrFzsww+3YvkViDnZYsv3jPeo1L3rDtj9m5OQ2b6HcRJc1rLVXeS2u8phV8psd5XFUqAX4L335rCCEh9/vNCwvG/fp5k1H+Unx9atP8Crr45kYaIrVixlnolHHjGGOnFUrVoNateuy2QkeoiljD1olHniCUxC3slyM8R89903cPHiBYH3gwMVBcwTwf34cvuvv/6EjRvXs2NjGBmeLxqtUFFYuXItPPVUP4ty29bvWUpuu1UitCUwFGnSpElw/PhxWLp0KTRp0sThY/Xr1w86dOgg8FTUqVOHLcNKTb1797b7mH5+MoiOFlrw7IH/A8u7iD8g00x+MWq9FsoREeaSS1+qlOQaegIREc4vT1hYKIfUVN2g5S4TMT5SirEUKNw4xdHSugoVKkBhYQH8/juWtmvGqhEtWfIR206txrhVP/Z7RLhjYbwtxoGmp6dA7dq1WDk9HDhwPVrYf/11Lxw58jvMnbtQcn/+5+AmEGKaNWsG48ZNggUL5rLwR6yi1K1bdzYgvvrqKFat49tvNxn25X8mf/8ANuBi0luLFi0gLi5G8ppMnDgZXnllFAszGj16DNStWw+Sk5Nh/fq1rKnQZ599wTx2YurWrcM+MybQTZnyFrNoHTy4H779di3MmDGLHT87O5NV3cBrhfIQr+vVq5j7NYStxxrmyNWr/zE3OIaUYulCDBWQy4Mkv2eNRsYGtsjIEDZouxuOyG2lOhgwmEHr+XPEEoDGtSCfkNm2ym13l8P24dmyWGofpEGD+jB06AhYs2YV9OzZm4WFVqlSBaZPnwkffDCTGVX69evPivH8/fdRmDjxVbbfZ58th+DgQMljd+3aDdavX8dyKxo0aCC5zahRL7HjvfbaS/DKK2NZTggqWz/9tAX27NkFc+YsgPBw099RVFQEPP30M7Bq1XIIDw+DJk2asopIGCI2bNiL7PgYovXFF59CREQYNG3aApKTk5jHGxO9cT133OvXr0BsbAy7/vg5g4NDDHkoZS23nT5zxUFx9OjRLNdh9erVLJSopIhDmzAsCRMVsVuhI6AbKTvb/pJzOMCHhRm/FHvGoZ8OCRtFxUfbljztbmi1SpDJAkCt1rCcBm8EhRsOPPj58HM6E7SSoKVZrda6VX8LtGLg58bPa0ueCirO+JD6DPx1HTp0hueeGwqffvoxs7ijhebJJ/uyKhLnz5+DPn36G9y63LH69h3Amgo9//yzsHPnrzBr1jxYsWIZzJ37PotXrVmzNsyZ8yF06NCJ7SPeH+G+N/xv7jo/++wQqF+/ASuBN2HCWMjLy2OVQnA5urnfeGMiTJjwBosXFn/eTp26wc8/b4XOnbsblom3iYqKhS+/XMMm+0uXfspkI3og0IOxYsUaVvvb3LnNnj0fVq5cxpSanJxsqFixMrz99rvQo8cTbJ/hw1+CoiIlfPTRQmaNQ49Fv37PwPPPD2frmzV7mIVWjR79IqtigmEIWMYPw5f69Okr+T3jPYn3ZlZWPhQUmFZFw9+ErUqlK3BEbqulZJTPKRDGLzojQ1iMw1fltrvKYUdkNiss7MGyWGofjqFDRzKDyaJFC9gkG40h3br1gMqVq8KGDd/A1Kmvs/wDDPHs0+dpJgtnzZoBr7zyGvMYiI+NchvzLwYNes6wTLyNv38gfP75SuYdWLduLSQl3WdhRXXr1ofPP1/BQqTM3TPjxk1moVQrVy6H1NQUNp6gRwFLxOI+WMoVi2usXv0VUxhwPMCcBsxHwfXVqtWCdu0ehRkz3mb5HM899wI88UR3GDXqZdabQmpstiS3XSGzZdoS1AF9++23mXKwfv169hpj5wYPHsw8DatWrbK7l8Lnn3/OEqHRg8DxySefwJ49e9iDc91g8nSXLl3gq6++Yh4He8GbNz3dfuEZECBn2tyh67/A8r+3Q/28IhhxPwtqTv/Y6r5PvSF06e34SJhM5ClotRVBo5GzOt/eGh+LGj9a5HCAdfaAUlyshLS0+xAbW4HFOLoTOkuIZw6gzv7MKBYx0Rgt89hkyBc+s7V7MyYmtEyVBkfktjrzHuR/Pw1UwaEwo5LOivfNgNchyN+9fnuuBUvuRjGZ7c2Vk+yR2+4sh+2BZDZI5ouhQoOTcW/B38LYbOledoXMdqqnAXsx3L59mykM6B1ISUkxrMPXGO+FJbP4JQ2t0a1bN+axmDVrFowYMQJSU1Nh3rx5LCzgscdM49Y8gRkvOjf+rzSRyRTMxeatCgNBIGig6NhRuuADQXgWurHWmxUGguDwNiOPu+E0pQErHO3evZtVTBo+fLjJ+gMHDkDlypVh/Pjx7DXnnbAGVl5CjwImQffv359lzKOX4a233iqzROKSTpczc1XgybeLJydwEwRBEARBEKWsNCxYsMDwHL0IZ8+etbqPJWUBFQpOqeDTrl079nAXuIguR6fOQQGemnilS9rMy1OW9YkQBEHYjIYnrP18L6kBCgos18gnCIKwBU+dvZYpWs7XYKPLQVw5qWYl51flKR24jtwUmkQQhAcgJap8ylOqswsGB3tm4Q2CINwLUhpKgK1DT7FKOHJVKed+5Qzt8TRQF2iCIDwJvgT2LU+DL31WgiBcjec3CygDNIbwJC2EN7ceNlXMy3r/8m3TZlGegFZbybcMdARBeA0Cs43PyLEQnneYIAii5JCnwSHEzd1s8zRgD5FK8Z7pZZDJ+PolhScRBOGZyHxGazD2N6JqdwRBOANSGhyAC8/Bi6cptN7gTFms8zQoFN5xubGZCEEQhKfA7wjtO9XfjN3G09Nzy/RMCILwDrxjFuvmidCcp6FI6amNs4yDLNX6JgjC0+CLal9RGfhQHhpBEM6AlAYXl1zFbcd++B94NsZPiq3KCQLZt+8XePnlEdC1a3vo1u0xeOmlYbBt2492XZzdu3dA+/YtS3RBbT3G338fg6lTJ8NTT3WHLl0ehRdeGAhfffUl5OUJrbBz585ix3vrrcmSx9m/fy9bP27cy4LlBQUFsHbtKhg6dBC7Jn379oB33pkCly659vevUqlg8+YNLn0Pb8J3PA060tLIy+DteIos5tbzHx06tIaePTvBpElj4fJlU1n5338XYObMadCvXy/o3PlReOaZvvD5559AWlqqYLvVq1ew4w0fPljyvc+d+5etf+aZp0zk5/ffb4RRo4ZCt24d4Mknu8Lkya/ByZMnwJVotVr45ZedkJGRDp4EJUKXwGply9Bz9FwWeIubOzMznyxWBGPnzp/h008Xw8SJU6BJk2bsV3H8+FG2DIXgiy+OdqsrtX79GjaoDB78AowePQZCQkLZYPT11yvh11/3wqefLof4+ATD9v7+/kzJQIUiNDRMcKwDB341mXhip/vXXnuJ9asZNeoVqFOnHuTkZMOmTRtg7NhRsGjRp9CiRckGZHP8+useNog+++zzLjm+r8ls70EFSiXlM3g7niaLkZ9/3iNoDHzrViJ8/vnH8Prr4+H773+GkBBM4gc2qV64cA707v0UzJu3CKKjYyAx8TqsXv0VM958/PFSqFWrtkBuX7t2lR2vatVqgvc8eHCfidwuKipiCkJS0gN46aUx0LhxE7Zs167tTImZMeN96N69p0uuwenTJ5mBasuW7eBJkKehBJ4GW7iU6A2Wed1totF4angV4Wy2bv0BnniiLzz5ZF8mnKtWrQ7PPDMYBg0awqw27sTZs6dh5covYNq0WTBmzDg2oa9UqTJ06dIdVq9ex+7r+fM/EOxTv35DCAgIhD///EOwHJWIY8f+0g/ORj76aAEolUpYtmwVPP54F3Z8PMbMmXPYQITrXfX7sUce+SpaTl3wKS+DDNRqktnejifJYo7Y2DjDIyGhHLRs2RomT54KmZkZcPLk32ybu3fvwOLF82HkyJdh6tTp0LBhY6hQoSK0b98Bli37CipWrASzZk1jSgdHXFw8VK9eEw4d2m8iIw8dOgBNmzYXLF+9+ku4du0KfPHFKujV60moUqUq1K5dByZOfAN69nwCPv10EeTnu2YOp/VQuU1KQwlyGnTDj+VB6HZSIXiLp4F0BteBAkRbXFQ2DweEl5+fDM6dOwvZ2dmC5S+8MAJWrFhjeF1UVAhffbUcBg7sC507PwIjRgyB3347YHK87du3Mvczhg1hCNGDB/ftPoY5fvxxM9SqVUfSYhQWFs4scceP/wWJiTcFFqvHHutoMvj88cfvzLKFAxZHenoaHD58CAYOHAzh4eGC7dGy9eab0+D99xeYDYspLi6GL774jH1+DC3AMAO0FHLgoIjr+/d/Ajp1agdDhgyAbdt+MLj7582bzZ6j693VLnVPxTc9DX4eOzEpKzxNDnuaLLZEQEAA+y+X+xvOIzg4GIYMGSa57Zgx4+HGjevMI8ynU6cuTEEQG47QaNOsWQtBWNLOnduhd+8+UK5ceZP3ePnlsbB48WcQGBgoeb5arRY2bFjHrgVeK7wWGCbG57vv1sOgQX2Z3B44sA8LX8X9UE5PmDCGbYPLUY57ChSeVAJkWn0dVQvUqxYKxy8If8yeh+5HQwOQa8Drmr99LmiSrkJZIC9XB4L7TLNrHxTkGGf69NO9WNgNWnAefrgVs67zJ86zZk1nMf1TprwDlStXYaE07777Nsyduwg6dHhcMLH/4IMFoFAEwCeffAjvvPMGfP31BjbRtvUY5jhz5rTF7R5+uDX7/++/p6FateqG5Z07d4Pp06dCfn4eC2dCDhzYB127doerV68Ytrty5TKb2D/0UFPJ4+M5WwJd1ImJN+C99z5gIVJ//nkYpk6dBPPmLYZHHmkPW7duYYPg7NnzDOsXL14ANWrUhi5dukFubi589tlHzOUfERFp9Xr4Mr6Tz4Cf01c+q3fJYXvvUU+Sxea4d+8uM4zg5J2b2J89e4p5F9CAI8VDDzVh3uB//z0Dbds+YliOHuQ1a76C27dvMc8Bsn//PujUqavg2t67dweys7PMym30WuDDHCtXfsFCpNBDguMGhhuhXEZ53L//QDhy5DALi33//XlQpUp1OH/+LMyZM5N5S3BsmTv3Qza+fPXVOqhZsxZ4CqQ0lKC5G3N6yyw7axKiFeD56CwAhOvwtNrxKIDj48vBli0bmaXnr7/+ZMtRSL/zznssfOfmzRvMMr9w4Sds8otgvD9OuNev/1owyLz77gfMLYzMmDEbnnuuP5w4cZxNkm09hjmysjKZR8EcUVFR7H9GRoZgeatWbSAoKAiOHPmDeSnQkvfPP38zVzlfacCBBwkPjwB7uXPnNht41qzZwMKmEMy7wON/99037DPfvXsXgoODoEKFShAXFwcDBjzLQhCqVq0KgYFBEBamy7lAVz9hueSqp/3OnFFulbAdT7w/PEkWc6BHlW/x9/dXQOvWbWD69FnMu8DliaHMM4efnx9ERESYJBJXr16DTcLRSzxs2Ehm0EFvyPz5i1loKQfnmRF7h22hoKAANm/+DmbNmmu4FhiSil4ZlNuoNKBSEhCggPLlK0L58uXZIy4ugSlGCoXCMF5ERUUzOe4pkNLgELzwJD/LSoPGK7zDnnNDeyJo/WCWfpWybE7AP8AhC2zjxg+xB7p9r169zAarH3/8HqZMmQibN29lCWmIOP6/efMW8OWXywyv0YrPDVLcYIcC9caNawbBbu0YlkChLHbd8+Em/WLFggtRwgEHlYbDhw8yyxc/YZo7PpKVlWXVqyDm8uVL7P/YsS8JluNAyp0PDkAY/tS/f2+mWKAyg9Y0TAok7Mtp8LwpYclkNuU0eL8c9iRZzLFmzXfsP074MdwpPT0dXn75NWaFF8rtLIueodzcHEmDEFryUW6j0nDq1D/M+IO5ZXylgZPblt7DHDdvXgelsghmz57OlBcOVFAwtw3DuLp3780SqlHpwjwLlNuY74bKgydDSoMDcI4G9vO28iPnN0L7ZFJd8EwKQaXyBo+J+8IGC4V07KS7kZycBOvXr4WhQ0ewJDYUmnXr1mePxx57HIYNe5a5as01MsGBje9y5gtdDq1Ww9zjth7DEjjI6c5HGhxUEFQIxODk/O2332DJcFg1CUOTxGAYAJ4Lhjc1amR6DLTSoRUQPRRibwB+TgQT+7gQKPF1wYF78+ZtcOrUCWZJ/N///mCxtNOmzWTJe4QltD4anqRDpaJEaG+Vw5wsXrPma4+RxRyccQX/f/jhEhg9ehirYoQe18hInecXw6wwrwEn4Vy+A58LF85DYWGhpMxFpWHVqi+ZJxflNr4Wg3lpMTGxLLwJ5bwY9M5gBarx4183CR/S6K3BmKvGD2nlwOuF3gNUjjDfBOU2Kiw4DqB3xh0rWtkKJUKXpLkbOoFF5RjFbP09hf1v91Ak1K6iKyPmefiRxYowgHGkO3ZsNUn64rt6URhj8jGXhCbOMUAXMgdai7BSBgdaxTAuFAW1rcewBCYo37p1k1l9OL78cikr73f27BkW/4rxsfXq1TfZF2OEQ0KCWek/fM/HH+8q+ZkxRGDLlk0mPR9wQMW4ViwBiNdETI0ausEIa47jAMo98Fy55Dg8LlrNWrVqC2PHToRvvtnMYpYxv8IXJ8IlS4T2lWuFQ7tXuLkJC+Bk2pNksRToBXjvvTmsoMTHHy80LO/T52lmzUf5ya8UNXr0iyxMdMWKpcwz8cgjxlAnDqwiVbt2XSYj0UMsZexBBemJJzAJeScruSoGw4wuXrwg8H5woKKA5bVxP77cRg/Pxo3r2bHxO8HzRaMVKgorV66Fp57q5/FymzwNDlCcrYt9xq88rvvTNlVP+utfT+3XgLdIAMjlxrJmhG+DOQDPPz+cuZXz8vKgc+euzEqOlhmsDsEl4yEo0LHcKApIFKooMI8c+R3ef3++4XgoYN977x2WUIZgmb3mzR+26xiWQLf02LETYNGieaxCUrduPdk5nzlzCl5++UUm/Net2yS5ry5EqROsXLmMJehx+Q9iXnttEuvH8Oqro2DUqDFQp05dSElJYR4BtDR98skyyUECB2P8fIsWzYfXX38LatSoyRSEb79dyzwJCJYhXLv2Kza44kCInwFDELCsIsLFAP/330WoUaMGiw/GfTDXwZNiZV2JYfrsmeO0A+hCLwjvBkNsPEkWmwPlJX6OdetWQ7duvVhZVfQEYE4GFopITU1hSgTK4L//PgoTJ77K9kO5ivkBUuC1QPmLycxcvpiY4cNHsUp1GB46evSrLCkaw5Vwsr9nzy5WfIKTr3zCwsKgX78B7LqHhoayMQY91suXf8aqViGo8Cxb9ilbj9cvOTkZTp06Cc2a6a5lcHCIoZAGelewNwUaj3A516fCHSGlwQE0yiJD9ST/COlJBKLihSZ5Lrqb19+fEusIIyhgcdDYsWMbq+6DbuLy5SswN/DQoS8atkOhu2LFMliw4ANmxapZszbMmfMhdOzYSTDw9ejRm1XpKCwsYAMTN2jZegxrYHJxvXoNWOfk118fxwZYdOcPHvw8nD9/jlUrmjDhDTZYicEKRWjNk7JWcWCC8ooVa9lkHwcOHCDQ0oceDFzOjxMWgwMuKiWo1GBDuIoVK8Pbb79rCD1CVzaWZf3kk0XMGoeWw379njFc5xYtWrHQqldfHcmSGBs0aMjK+KHSgU2RCCN+vqM1ED6Cp8lic+AEHg0m6G1o0eJhpvxg2BB6DTZs+AbeeWcKm9BjiCcqECgLP/jgPXjlldeYx0AM7osVjrBfhTnQELN06UrmHfj223WQlHSfGVowvOvzz1eY9HXgg2FLeL0wDAqVGhxP0KPAlYh98sl+LM8NlTcMI8PxAHMaXn11AluPpbvbtXsUZs58h+VzPPfcC9C3b08m7/E47opM64N1NDE5LD09z+79AgLkEBkZApsOfw4/3b8ArbMKYMLTr0JAvHRiS3p2MQyffd7wesdHwgQiz8DYVTElJQd8AX9/P4iODoWMjDynxwQXFyshLe0+xMZW0MeJutfn9rUYaPzMxcVqlmiMnZ+xyZC3Y+57tnZvxsSEglzu51FyW51xF/K3TIe0sHBYVD4YghWBsK7/ZPBuIgyeBlfIMG+Q2+4sh+3BV2U295kxXwyVF5yMezP+Fr5nS/eyK2Q2eRpKmNNgKRE6r8CTQ3rwc+lqHCP5+WVUUYIgXAy62jt27EzX2ZsxlFz1brTaiiCTUdEKwjfwBSOPu0GJ0CWqnqQFmYWSqwVFRqXhkSae1nRJOPAUFRWX2ZkQBEE4JRHaQ5MPbYUUBoIgXAkpDQ7AlUnUlVw1fwnzC43upLeHmZblcm8qlPUJEARBOLl6kjdjuZIfQRBESSGlwQG0/CcWLFe7/kw1PPd2CxdBEIS74zslVwmCIJwPKQ0lyGnA4UfmZ34QOnrOU8usIsJ68wRBEJ6Kb4QnUQgpQRCuhZQGB+AKTlkLT/JsyNVNEIR34BvhScaO4nl5uv5ABEEQzsRbZ7wuRVCl1qstV7qSfQRBEF6BV8vrcENpbKXSkyv3EQThrpDS4Ag8T4PMqzwN3IDqzQMrQRC+htZrm7t50/hDEIS7QxLHATT88CQLOQ2eRTleXwadm7uwkGJkCYLwfG1B65X2kGAAqELtlgiCKDVIaXAAjUrf6EzrTZ6GIN7zKPaXlAbCHM888xS0b98SNm36VnL9okXz2PrVq1cIlt+7dxcWL57P9u/c+REYOLAPfPLJh5CWZqw05gqysjJh585thtfjxr0Mc+fOcul7nj17Gs6cOe3S9yBsg1MavKt6EnZ+RnAM8tyuxkTJIFlsHZLFzsNbZrylSuGd6+y/H2oNcjl4F9gkXPeZiospLpawcKf4+8Nvvx00Wa5SqeD33w+aVKpBwT1y5POQmpoC06bNhA0bfoCpU6fBuXP/wquvjoLUVNcpDsuWfQp79uw2vJ43bxFMnDgFXMnYsS/B3bu3XfoehH14V/WkIJ5nWNdXJzeXEqB9EZLFliFZ7DxIaXDkooVyFh4snmT9Ejaqaaxq4f5UKusTIDyEli1bw/nz/0JycpJg+cmTJyAoKBgSEjDkTYdSqYRZs6ZDixatYP78j6BFi5ZQoUJFaNWqLXzyyTLIzc2Fr78WeiVcVrwAbbQRkRAWRhXCfAWt3sPgTSqDEeN4JLrNCR+BZDFRmmZlh1mxYgUcOXIE1q9fb1h28OBBWLZsGVy/fh2io6OhR48eMHHiRAgK4oe/SLNz5074+OOP2TH43LlzBz744AP4+++/ISQkBJ555hkYP348yMvIyi8PjwTIK9TnNFg/h/goch0T3keDBo0gMfEm/PbbARg0aIhh+YED+6Bz525w8OCvhmX/+98fTLlYuPBjE2tvREQEfPTRZxATE2v2vVJSkmHp0k/g2LG/wM9PDg891ATGjZsMVaro8nAyMtLho48WwqlTJ6CgoBDq1asHL7/8GjRv/jALQ/rll51sOwyZOnLkBAtPQqVl5sz3YffuHbBu3Wp47rmh8M03X7NQpnbtHoVJk96EL774DP744zcICwuHUaNegSef7MuOk52dDcuXfwZ//fUne+/w8Ah47LGOzHuBsg7fB5k3bzacOvUPTJ8+C5KSHsCKFcvgxInjkJ+fB02aNIOxYydC7dp12LZ4ngUFBZCXlwvnz5+D4cNHwvPPD3fqd+areGfJVZXJEK5Wa8rsbIiywxtkMcpIksVe7GnYsGEDLFmyRLDsxAm8AcZBt27dYOvWrTBz5kzYvXs3zJ492+rx9u/fD9OmTTNZXlxcDKNGjWLPN23aBLNmzYKNGzcyxaTM0HsXFFGxZt3dhUqj8K5f3V09Df6g1SZI6o55eUVlcka+ClrCi9TKMnmIrfD20KlTVzh0aL/g93r48G/QtWt3wXb//XcRgoODoXbtumYHvXLlykuuw4n0+PGvsOeff74Sli5dAZGRUfDyyyPYAIZgnoRSWcTWf/PNJqhSpRq8884bbF+cyOPA2bhxE/j55z2S7/HgwX04dOgALF78KcyZ8yH88cfvMHTos1C3bj1YvXo9tG37CHz00QKmUCDz5s2Cy5cvwdy5i2DTpq0wYcLrsGfPLti+/Se2nnufCRPeYO+PSgKGYOFgvWDBR7B8+dcQGBgE48aNZu/NgYN+q1ZtYNWqb6Br1x52fReEb4QnabU4oQuSlNsUUuqbctiXZDEadEgWe5CnISkpiSkDx44dg+rVqwvW4aS+TZs2MGbMGPYa10+ePBlmzJjBFIeAAFOLO4YlzJkzh3kZatWqBTk5OYL1e/fuhXv37sH3338PkZGRULduXUhLS4MPP/yQvY/UMV0N9+P2U5h/762HdD8g5LFmusRi9yMUZLJgyZAksliV7v308ckv4HpWIpQFNSOrw+stXnVoXxwANm5czwaM+PgEOH78KPMw1q1bX7BddnYWs9Y7Mmk7cGAv5ObmwLvvfsBid5G3336XWfC3b9/KPAB3795l8qNSpUpsMj5x4hvQrVtP8PPzYwNkYGAg2zc2Nk7yPdRqNUye/CZUr14DatasDXXq1AOFwh8GD36BrX/22edhx45tcPv2LTZI4sS+WbOHoVat2mw9Wsp++GEzXLt2lb3m3gdDoPCxdesPTOFYvfpbdn2QWbPmwKBB/eCnn75nHgcEPRZDhgyz+xoRtnoaPF9pkMkwrI5C67xVDjuq2PqKLH7uuefZe5Es9hCl4fz586BQKGD79u3M2o83CMfIkSPZjcEHX6PGi8pBTEyMyfEw9Oj+/fuwZcsW5m1AD4XYe9GoUSOmMHC0bduWHe/ixYvQtGlTKG2M9gDzP7p7aUZLvcLfXQcqhdk1RUXo+iZKD3e9RyxTv34DqFixEkuIHjhwMBw8uA+6dBFatpCoqGg2WOHAbO9gdenSJRYO1KtXJ8FyzJNAlzzy4ouj4YMP3oVDhw5CkyZNoXXrdtC9e082QNlK5cpYvlIHhhjxrW3ccfA9kaefHghHjhxm7vQ7d27BjRvX4f79e1CtmtCQwoHKBFrcOIVBd8wgaNiwEVy7dk3yHAgXyGzP/JnZFByQmZlfqmfinXjuDeI7slgX6k6y2EOUhs6dO7OHFA0bNhS8RmVh7dq10LhxY0mFAalfvz6sW7eOPUelQcyDBw+gfHmhqywhAUNqgCkbjioN/v72R2bJ5bp91EUF7L+lI/B/igoH3qt0EOaZFBQoITg4QHB9uM/M/fcFXPmZNRpTIY2CGy1MSk3Z9MUI8FOAn77fCI4h9nrJ0cKFbvE+fZ6GP/44DF99pfs988G4V8wXwJCeevWEli9kw4Z1bNI9Zco7Juu0Wg1UrVoNFiz42GQdWq6Qjh07wcMP74Fjx/7HcgY2b94Aa9Z8BStWrIGaNWvZ9Dk4yxmH2ADCodFoYOrUSXD9+jVmQcOBGa15H34418LRtWaP5e9vzIuyZ2B1BG6OYOl7lstlDsnH0sDe85JxBhuZtzR3M39/4CSQ5LZtcttd5bA9k3ipTb1dFos/syfLYmfK7NKU2yVKhLYEll2cOnUqXLlyheU/OEphYSFLzuHDfZlFRY7F3eMEKTra8TwDZcp9gKgQUCbfM7sN/+Z23/k25l0YfyScwoCIr09EhE4g+BKu+MyFhXJITfWT/IEreN9FWWGPooS/I/wM3bp1h2+/XQt79uxkLulatWqabNO2bTtmBfvmm9WwYMFiweCYnp4Omzd/B+3bd5AUerVr12b5AlFREcxKhqhUxfDuu9OgS5du0KHD4/DFF59Dr15PQI8ePdkD5cYTT3SHY8f+hLp167DzwPfkjo/PuXPgFCb+e3PrpSZh169fgaNH/werVq2Dxo0fMpzP3bt3oHLlyoLjcJ+/Tp268MsvuyA7O9NgQEH5denSRejV60m2jfg9S/t7xokUDs6RkSE2Fa4obRyR20pVMGQLPA2erjSYvzekrg3Jbc+Uw/biDbIYX9siizm8RRaXdGwubbntEqUBQ4cmTZoEx48fh6VLl0KTJk0cPhZeBM4NxcEpC1hJyRE0Gi1kZ9vvylUo5BAWFmRTJQ6+Rui+yXfC8KSMjDz2w8Lrw79RceDJzi7wmTwHV35mTBBDi4ZarQWVyn2uJ96i+Lnx89rqacD7BD9DzZp1mDsZKw298MKLgs/FbSOTyVnsK1qFpk59neUIYEnWq1evwMqVX7Df8ujRr0pek65de8E336yFt99+E159dQLLEUDLFVYuGjVqDPj5+cOFC+fh9OlTrOJRbGwsG0gKCvKhYcOH2DGxBGxKSgrcunWbDZholeVyk7j7nf/e3HpuGXcf4P+oqBhWue3XX/dBREQUc/WvW/c1a1CHsonbJzg4hFWRS0tLhy5derBtpk2bCq+9NhEUigBYs2Yl5OcXwFNPPc32Eb9naX/PeE/ivZmVlQ8FBaY9WvA3UZYeR0fktjq7wMuqJwnjwHNyClkMOI4xJLdtl9vuKocd+S17iyzGddZkMX8q5emy2FljsyW57QqZ7XSlITk5GUaPHs1yHVavXg2tWrUq0fEwNOny5csm74GUK2esA28vjtwMnBbMjTwyC7Or2pVD4NA/GeC+hNh1TfCGdYcfUGniis+MP3B3hLuVHS3ggW5xLFsqrtTBB3szYNUgtITNnj2DJQbHxcXDo492gGHDXoToaOkQRhyYli5dCcuWLYE33hjHvhd0q2N/B0yWQ95/fz589tnH8Pbbr7OSpVWrVof33vsAmjZtztajBQkriQwdOgg2bzZ2hnYEPOfp02ezvhJbt25h5QkfeaQ9PPvsEJbnwDF48PPw3XffQGLiDVi48BP4/PMVsHTpEpg4cSxbj/G+y5evZgOnO33P7jyRsve81CqtUGlwWwOOLZhawJVKlUBZEENy27PksD2Y+w17sywWf2ZPlsXOHptLS27LtCWo8/X2228z5YDr05CVlQWDBw9mnoZVq1ax+rz28Pnnn7NEaH6fhl27dsH06dNZPwiuGdPmzZth4cKFcPToUYeqJ/2/vfsAb6pe/wD+Jt2FblYZIhuRbdkKghURQZDloMIFARniRDYXuMp4KJQllwIXRBkXrlq5cMGHewER/TPKuKIiu6CFK6MTSlfanv/z/tKkSTNImiY5Ofl+nifQJM3J+eWk7++857f4i56R8cDu1/n7+4gmoGXr/0QnwoIoNj2Hxk382OzvHkhOp5U7U6lVo6q0cKJ2hhV5qW/TZ8LNc9zsza0Qcj2RqGzOLLNGU0jp6X9QVFS0uMIht3J7yzHWQZlt/25GRlZxa0tDReJ2ccZNyv1yFqWEh9L6aoFUN7QaJTw/hjwTdwcx7qp7967xbIM6iNslHhuH7YH45R18rdTN1r7LzojZlbq1RYsWUWpqKsXHx4u+YtwEpbtxEyrLysoSN1vFxsZS9erVRXenCxcuiMHSvAAcz9TkjulWbW3q1l38CQpwZ584nnHq4e/PzbkVSaIAAOTNOFrLv52Bx1FZGoBZdn0vOzuP0tJyXLZXAACV2j2JkwJeyI1nTBo50nQV04MHD4qBKbySMzNcRdoaHvTMrRa8zsOwYcPE1KuvvfYaTZyobVZyJ6tJQ2nW4L7WcD604aVN2hkWf4v7xGJ6VQBQMs/pnqSdGZDI3FoBJUbdkgAAPCppWLx4sf5nHozy008/PfQ11pIFTih0SYWh+vXr06ZNm0gudKHbWvWz+/s08f+Jczx3hzsPreW1GJijq1ACAMidZDwczUMZD9wHAHA1+cwn5UlsqHlSb+eTe+kGiZufPk6SCkXlg1YGAPAasm5peFh1rN13HmsFAOAOSBocaeqW9QWfwoe2NOTnu2cRGwAAV9KFankv7mbLomRl01ICALgakoYKOF266Feuj5wrIN3VKNP51rV80TUJALzC737aqu5a1m2Sr4clA75IGADArZA0OOD7cPOLy2lkNW2lpcWQjBcDAgBQqv+EWh/bJQ8PuwilxoUeAHArJA0OkCz0jy0olEPSoLJ6iLWziCBpAADwFJi3AgDcCUmDE2gMVpucO6YhuZMkWT7EqIAAAOTI3AUpFVoaAEAZ6zRAmaKisqQh5jHjFTxdX+mUr3yqkyQFyXsSES+lVqvEzdW4mxq6qgG4m+HfvtpgPFqgfjY8tdrSGDWoLIjDAJYhaXCAysKl+kJZjGkoXQFVxRWOoWB9wuDr64MpV2VUUfGS7+5YfIrX6rB3RfAhQ/rTrVt/0FtvvUuvvBJn8nx8/EL65z+TaNSosfTGG2/qH//f/27S9u2f0/HjRykjI52ioqpR165P0ogRo8XPlqSnp9GqVQl0+nQyqVRq6tUrlsaPn0xBQdpJCdgrr7xEN26kGr3u+ef70axZ88TPW7Zsph07tlBAQCBNnPg2xcY+p/+97747RFu3fkYbNnxmU/ltLceTT8bQzJlzqW/f/jZtF7yZYauwPxHllf4cpX/Uz8/8FNqgnDhs7wUcxGLEYldC0uAE+4+nk/uZC3p+JtP3gXwqK21FxYsCunIqXD9SqapVqIXD19eXDh8+ZJI0FBUViZPw8hXvTz/9SFOnvktt27YXJ9LR0bXpxo3fKTFxDU2Y8Ab99a8bqVo108SBt/fee5PEzwsWLKXAwEBasWIJTZ/+Aa1c+VfxeF5enjiRX7JkBTVr1lz/Wk4QWErKVfr88020fPknlJWVRfPmzaSOHbtQZGS42H5i4ic0bdpsm8pd0XIA2K5KadLAf0Oopr0pDlek1VcJsTg0NBSx2AMgGjnA0mnWpd8tzVjkzgooqPT/Mvn5RW7bI7BEY7DGhrzFxHSkEyeO0Z07t6lGDd1igkRnzpyiwMAgfSXBCgsLad68WdS+fQdasGCJvhLjyqpZsxailWDTpnU0deosk/c5evQHUdFs3foFPfpoA/HY/PmLaPDgfvTf/56mdu2eoGvXrookuGXL1qLyKe/atRRq2LCReJ4FB1ehmzdTRdKwe/fXVK9efVGBPowj5QA38Nh+mByrs4mottGjhYWI2a7hOXFYKbE4NPRxxGIPgIHQTh7T4D7l12EwThiY8fMA9nnsscepVq1oOnz4oNHjBw/+m3r1etbo6tbRo9+LCm3UqDEmV724Ylm2bBWNHPmG2ffhK2Dh4eH6SopxxRgWFk4//nhG3L969QpFRkaZraRY7draK2nclYgrrZyc+2Ibubm54qrX+PFv2VRmR8oBrqcOi6bgFt08rjqWJD5pDTD5jexsXZclgDKIxYjFroKkwQnqR5cfR+Bq3O+VBzvrZtswPcxFRRhQB47r2TOWvv32gP6+RqOhI0cOU2xsb6Pfu3DhvBh/0LhxU4uVXs2atcw+V61adbp//z7l5paNu+Cf79+/R5mZGfqkgbc/e/ZUGjDgORo58hX6xz+267vg8fZ5XwcOfJ5GjXpNjLPgsQc8jqFz567iypctHCkHuJ5KrabqL77jIR99DYPWBP7eoiMAeE8s5jFiiMXyh6TBAZYavh9vWFX8Xy3cXQsKReh/0iYNpnvq44NDD47jFoVffvmZ7t69I+4nJx+niIgIatq0rC8ru3cvm6pWDanQAEOuSEJCQmjRoo/Edh48yKH4+EXiOY1G212Dm8S5Mnv66WcoIWENDRw4hDZsSKRNm9brtzNlygzau/cgffPNtzR8+EhKS0ujpKQvRKXF+x0XN5RefXWQUcVbniPlALBMZeZ+GD4w8JpYvGvXl4jFHgCXMhygstC7p6h0nYYGtctmdnGdQKNmbW0PJNPgUCSLGZ7A0zVv/hjVrl1HDMIbOvQVOnTo3/TMM8ZXtlh4eISoZDiJtbeyCg0No8WLE+jjj+fRCy/EUkBAAA0e/DI1a/YYVa2qTdCXLl1FBQUF+vuNGjUWFdpnn22k0aPHkVqtTZK5wtPZuHEdDRjwktj+X/4yhxYtWiq6OI0ZM4Jat25rdjYnR8oBYLka9jOKzX5++G6Bd8Xi/v0Riz0BLjc7QOVjfvq74tKkwdfHHYG/pj4X1Gi4C5JkMp7hwYMCuncPfWOh8q5w8dV5rii+//6I0VSmOq1atRbPX7p00ew2tm37jJYu1V6xMocHze3YkUS7d++nvXsP0IQJk8UMHXXq1BHP+/n56SspnYYNG4uZPLjpvLzr16/R//3fEXr99T/Rb79dK93HNlSnTl2qW7cenT//q9n9cLQcAKbq6LsmlbUOm9YtGM8ASo7F3OKAWCx/SBocYSFL//Rf/xP/H/uZZ79wLx+R2Bh3k8rNLcRiXlBpeM2En38+S/v27RFXuurXf9Tkd2JiOlF0dB1xtan8AHzuC7tz53YqLjY/zobXXpgwYTRlZmZSRESkmAnk7Nn/iqtlvF3e3rBhA4yav9n58+coKipKDJgub+3aVRQX96fSZnq10fTDRUUakiTzLXGOlAPAFgEBvuI7Wf5CD2ZOAmXH4qqIxR4ASYMDLLUj5BXIo+tPfr4r55kGb9WkSTNxdT4xcbXZ5nDd1acZM+ZQcvIxmjlzipj1iK9O8UC9yZPHU3BwMI0bN9Hsa3mGprS0dDEfeGrq72IawfnzZ9MLLwwQ78tN7N2796S//30rHTz4H7p584ZYWI4H1r3xxniT7fF7p6Sk0EsvDRH3H3nkEZH/f/PNv0Q/YH6P5s1bVHo5AGyh675hCLEcbIFYjFjsbBjT4ACVxbRBHriiCQ721w965i5JmDVJ7vw88v24WZyvXJWfqcNQ+/YxtHbtJtq6dbM46c/OzhKzcXTr1p1GjBglrlxZWrgoPn4FLV8eT6NHD6eQkFDq0+cF0T9Wh6dM5StV69Z9IgYC8pzj77wzhV588SWT7a1Zs5LGjZsgEgDGV8tmzpxHy5YtFlfYPvhgOlWvXqPSywHwMGlp9ykgwI9CQspm4MvKykXLsMt5ZhxmiMWIxc6kkrxwsv7i4hKxXLu9/P19KCwsmIbtnCDuB6h9acvQKSa/Nyn+Av1+K59aN65KCyY0JtfhJOYR8VNenoZycvKpevUQoz6x9jZx+/qqKSKiCmVmPvCawdPOLLNGU0jp6X9QVFQ0+fn56x/nlUAjI6u4ZXAthwD+e+B98JZjbHisUWbr300d/n66c9a1isbtyMhgevXLsnU4/vHydJITSeLWMu3nevfufQoPDyY/v7IxDfyYvRC3Szw2DtuzIjTil3fwtVJPWYvbzojZaGlwgKWwUr9WoEgaOrV09ZR5hl8YbeDhlgVfX20FhD6x8sUVhe7E3R3vzTd3vDeAtys/fiE3t0BcnGJ84Qe8Kw4DyBmSBkdYiCvFpX/4Pi4PPGULsujajwoLy5IGkDdUGgDeRpscGDK8osgtxuBaiMMAlmEgtBO4d8pVrfKtq5hiFQBA/lWwF/YYBgAPgaTBoQ/PfFJQXHqhyJ2LLgcF+RtVQGj2BACQmyiTR3Q5A2I2AMgNkoZKxqtBnzqvXcDEtf0irR9KLF4LAOA5ELMBQG6QNFSyYz9l6X92bfck4/fimX8MBz972wwxcocuCCA3+E66V15eockinOBc+M6Dp5Nc3J0RSYMDzE3Lll9YdnKuKXJP31Se/UGXJPD/PGUfmrrlQbtCNydzBe7eFQAjuu+kjw/mx3A1jtM5OWUxgWM2kgbnQRwGpSh0cdxG7eCAyADTmS8M04S7Wa68UqQyms8c5Emt9qGgoKqUk5Mp7vv7B7hlTnBzSkpU+kH83gJl1l6p4oqHv5P83TS3IjE4F0+zCq4j5zhsD8Qv71Bipm52V9xG0uCAQY+0Nnns3oOyxdNqRpoukOQ82oCHykf+QkO1KwbrKiy54KBTUuJdCSfKXIYrHt13U2l6N+pM/756nOqEmA48loOCAvsW3QTlxmF7IH55B7WVutnVcRtJQwXULJLotq+Kgn1Nl37fvv+W/udurcPJ1UkDKh/54ytaYWFRFBISQcXF8jhZ8PHhfQqm7Oxcr2ltQJnLjjM3bSu5hSE8KET8/1iNeiQnkqShvDzvStTlQo5x2B6IX6infNwQtx1KGtatW0c//PADbdmyRf/YoUOHaM2aNZSSkkIRERH03HPP0TvvvEOBgYEWt7Nt2zbatGkT3b17l1q2bEmzZ8+mFi1a6J9fu3YtrVixwuR1Fy9eJPfgL6vK7OJuVYJ8KOu+NgD5+bp+IDSm+PYc/MeuVruyNcr6MvX8N5qXV+w1g+ZRZu84zvKmQsx2MznFYXsgfnlH/PKVWd1c4RSFT/TLn8ifOnWK3nrrLXr22Wfp66+/prlz59K+ffto/vz5FrfDv7dkyRKRWCQlJVHdunVp1KhRlJGRYZQcDBgwQCQohjc5Mpxl1bV9JLWHErNBAAB4BpUKjf0A4DnsThpu375N48ePp6VLl9Kjjz5q9NyOHTuoU6dO4nl+rkePHvTee+/Rnj17qLDQ/KDgxMREiouLoxdffJEaN25MCxcupKCgIPriiy/0v3Pp0iXR8lC9enWjm7upzDQ1lLitxSxA+/7u2wEAAFkzF7PdRzuTGi70AIBik4Zz586Rn58f7d69m9q0aWP03OjRo2natGnGb6BWk0ajoZycHJNtpaen0/Xr16lLly76x3x9fSkmJoZOnjwp7nOywb/TsGFDkh0z9U/9Wpa7YTlXidcNYgUA8FzaCkQOXQ4AAGxhd9tor169xM0cw3EIjJOFzZs3i3EKkZGmo7tv3dIOGo6OjjZ6vEaNGnThwgXx85UrV6i4uJj2799PCxYsoIKCAurQoQN9+OGH4vfcwsrFfB78fPZyDtWIMB0kbT9OQIr5k7Thd+V0BQ0AwBv5lLb65toxDg2twwDgGZzWobKoqIimTp1Kly9fFuMfzMnLyxP/+/sbD0IKCAgQyYGuaxLjLksrV64UrRMJCQk0YsQI2rVrl9UB1pao1SqKjKxi9+t0QxTmDviYilUqCvcP4r03+p0e7WtRu2bNKdBfXQkfry7xsCVp8BFjKCpSLlvKHBYW5DUD9lBm8go4zvbHTXeqaNzm1/Vp8hw9Vb87BflxvOa47Sz2xGyV02IrvtukeDjG5BVUMovZTkkauCvSu+++S8nJyfTJJ59Q69am6xkw3Ql/+fEOnDBwksAGDhxI3bt3N2qpaNKkiXiMZ2rq27ev3fvHJ9c8XVlFVQuxPJ4iOJBv2vEFlcfP5i+XI+WyRsnTMVqCMnsHHGfP4EjcrupfRdxcx08W3z98t5UPx9g7qGVyDlbpe3Hnzh0aPnw4/fjjj7Rx40YxGNoSXbckfk35bdSsWVN/v3zXJu6WFB4eru/eBAAAAAAAHpI0ZGdn08iRI8V0qdwlicceWBMVFUUNGjSgEydOGHVr4qlbda9dvny5WOvBsN/njRs3KDMzU8y2BAAAAAAAHpQ0LFq0iFJTUyk+Pl60DvBibbobD2ZmWVlZ4mY449Knn34q1mvgQc8zZ86k/Px8GjJkiHie13y4efMmzZs3j65duyZmVZo8eTK1b9+ennrqqcrcfQAAAAAAcOaYBk4KeCE3njGJWxvKO3jwoFi4jU/4mW4V6WHDhtH9+/fFQnGcTPBMS5xE6Lok8f0NGzaIQdCDBg0Sg6afeeYZMbWraxdPAwAAAADwTioJ870BAAAAAIAV8hiODQAAAAAAsoWkAQAAAAAArELSAAAAAAAAViFpAAAAAAAAq5A0AAAAAACAVUgaAAAAAADAKiQNAAAAAABgFZIGG5WUlNCqVavEKtRt27alsWPHitWv5WjdunX0+uuvGz12/vx5iouLE/veq1cv+vzzz+0unyu2YSteCPDPf/4zde/eXawO/uqrr9KpU6f0zx87dkwsBtimTRvq06cP7d271+j1BQUFNH/+fOrSpQu1a9eOPvjgA8rIyDD6HVdswx7p6en04YcfUufOncX7jRs3jq5evarYY1werwjP5U5KSlJ0mW/fvk3NmjUzuenKrcQyOwNitvyOM+K2d8VtxOwk5R1jXtwNHm716tVSp06dpG+//VY6f/68NHr0aKl3795SQUGBrD6+rVu3Ss2bN5fi4uL0j2VkZIh9nzFjhnTlyhXpyy+/lFq1aiX+t7V8rtqGrUaNGiX169dPOnnypJSSkiLNnz9fat26tXT16lWxbd5uQkKC+Plvf/ub1KJFC+no0aP610+fPl2KjY0Vrz979qw0cOBAafjw4frnXbUNe7z88svS0KFDxXvx9iZPniw9+eSTUm5uriKPsaHCwkJp0KBBUtOmTaWvvvrKpfvr6jIfPnxYvP727dvSnTt39Le8vDzFltkZELPld5wRt70nbiNm31FkzEbSYAP+0Nu1aydt27ZN/1h2drY4Sd2zZ48kB7du3ZLefPNNqW3btlKfPn2MkobExEQRpDQajf6xZcuWiS+UreVzxTZsdf36dXHyeOrUKf1jJSUl4gR+xYoV0pw5c6QhQ4YYveb9998Xf0S6z4oTKz450+HEg7d55swZcd8V27BHVlaWeO3Fixf1j3Fg4PfjJEJpx7g83saIESOMkgallnn9+vVS//79zT6n1DJXNsRs+R1nxG3vituI2VpKO8bonmSDCxcu0IMHD0Q3FJ3Q0FBq0aIFnTx5kuTg3Llz5OfnR7t37xZdYQxxt52OHTuSr6+v/jHu4nL9+nVKS0uzqXyu2IatIiIiaP369dSqVSv9YyqVStzu3bsn3sdwP3Tvc/r0aU6Sxf+6x3QaNGhANWvWNNpXZ2/DHmFhYbRs2TJq2rSpuM/doDZv3ky1atWixo0bK+4YG+Jt79y5kxYvXmz0uFLLfPHiRWrUqJHZ55Ra5sqGmC2/44y47T1xGzG7jNKOMZIGG9y6dUv8Hx0dbfR4jRo19M+5G/dPW716NdWrV8/kOd5HDlLl95398ccfNpXPFduwFf8x9OjRg/z9/fWP7d+/n3777TfRn8/S++Tl5VFmZqboM84VWEBAgN37WpnbqKg5c+aI4MDjIxYsWEDBwcGKO8Y6nAROnTqVZs+ebfK+Si3zpUuXxMnF8OHDqWvXrmK8zpEjRxRd5sqGmC2/44y47R1xGzG7q6JjNpIGG/BJHjM8SWV8wsiDYeUuPz/f7L4z3n9byueKbVTUmTNnaMaMGdS7d296+umnzb6P7n5hYaHY1/LP27Kvlb2Niho5ciR99dVX1K9fP5o0aZJoZVLqMZ43b54Y/Ny/f3+T55RY5qKiIkpJSaHs7GyaPHmyaFHjQWs8eJIH1SuxzM6AmC3/44y4rcy4jZi9XtExu6ydAiwKDAzUn+jpftZ90EFBQbL/5Hify5+k6r4kfLXDlvK5YhsVceDAAZoyZYqYQWnp0qX6P4Ty76O7z/tibj/K76srtlFR3KzN+GrV2bNnaevWrYo8xrt27RJNqnv27DH7vBLLzE3HJ06cIB8fH/37tWzZki5fvkwbN25UZJmdATFb3scZcVuZcRsxW/kxGy0NNtA1+dy5c8focb7PfdjljpukzO074/23pXyu2Ia9OOjy1diePXtSYmKiPmvmfTH3PvyHERISIvaDp/4r/wdkuK+u2IY9uLsKN2vzlWgdtVotEgjephKPMbem8DSz3HrErQ18Y3PnzqUxY8YossysSpUqRoGfNWnSRHSJU2qZKxtitnyPM+K2cuM2YrbyYzaSBhs0b96cqlatKq4AGvbb+/XXX6lDhw4kd7yPPPi2uLhY/9jx48fFwN2oqCibyueKbdhj+/bt9NFHH4l+3wkJCUbNbjExMZScnGz0+/w+3BrBJ9pPPPGEmNNYN5hZN580/4Hr9tUV27AHD1R6//33RXOnjkajEZ8vD5pV4jHmlqN9+/aJq1e6G3v77bdFK4sSy8xXp/j7Yfh+7JdffhEnGkosszMgZsvzOCNuKztuI2Z7Qcy2a64lL8Zz7Xfs2FE6cOCA0Ry4PBex3EybNs1oytW0tDSpQ4cO4vHLly+LKSt5ft6kpCSby+eqbdiCpzZ9/PHHpUmTJhnNY8+3e/fuSZcuXRLPx8fHi/mIN27caLI+Ak9f2qtXL+n48eP6NRYMPzNXbcMeY8aMEZ9ncnKymHqV358/z5s3byruGFtiOOWqEstcXFwsDR48WOrbt69Y/4O/NwsXLpRatmwpjrkSy+wsiNnyOs6I294ZtxGz0xR1jJE02KioqEhasmSJ1LlzZ7EWwtixY6XU1FRJjsonDYxPaocNGyZOPnr27Clt2bLF7vK5Yhu2WLt2rQhE5m5cdvbdd9+Jxd/4fXjdir179xpt48GDB9KsWbOkmJgYceNAzoufGHLFNuzBCdHcuXOlbt26ifmXOShwYqLEY2xLBaTUMt+9e1csHMjHmYM6L+rHCYSSy+wMiNnyOs6I294ZtxGzJUUdYxX/Y3u7BAAAAAAAeBuMaQAAAAAAAKuQNAAAAAAAgFVIGgAAAAAAwCokDQAAAAAAYBWSBgAAAAAAsApJAwAAAAAAWIWkAQAAAAAArELSAAAAAAAAViFpAAAAAAAAq5A0AAAAAACAVUgaAAAAAADAKiQNAAAAAABA1vw/jHxTrzPpOwoAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 800x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, (ax1, ax2) = plt.subplots(figsize=(8, 4), ncols=2, nrows=1, \n",
    "                               sharey=True, layout='tight')\n",
    "\n",
    "ax1.plot(steps, r_qmc[\"halton\"][\"means\"], label=\"Halton QMC est.\")\n",
    "ax1.plot(steps, r_qmc[\"sobol\"][\"means\"], label=\"Sobol QMC est.\")\n",
    "ax2.plot(steps, r_qmc[\"halton_scrambled\"][\"means\"], label=\"Halton RQMC est.\")\n",
    "ax2.plot(steps, r_qmc[\"sobol_scrambled\"][\"means\"], label=\"Sobol RQMC est.\")\n",
    "for ax in (ax1, ax2): \n",
    "    ax.plot(steps, r_mc[\"means\"], label=\"MC estimator\")\n",
    "    ax.fill_between(steps, r_mc[\"lowers\"], r_mc[\"uppers\"], \n",
    "                    facecolor='lightyellow', label=\"MC 95% CI\")\n",
    "    ax.set_ylim([12.05, 12.45])\n",
    "    ax.legend(loc='lower right')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1eaa3b89-454d-4dfc-991c-135db6bf176b",
   "metadata": {},
   "source": [
    "### Avec variable de contrôle"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "ceaf4e48",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-01-08T17:04:03.193458Z",
     "iopub.status.busy": "2026-01-08T17:04:03.193405Z",
     "iopub.status.idle": "2026-01-08T17:04:03.195123Z",
     "shell.execute_reply": "2026-01-08T17:04:03.194784Z"
    }
   },
   "outputs": [],
   "source": [
    "def qsampling_payoffs_control_variate(K, size, bs, qmc_algo):\n",
    "    Gn = stats.norm.ppf(qmc_algo.random(size))\n",
    "    payoffs_X = np.maximum(np.mean(phi(bs, Gn), axis=1) - K, 0) \n",
    "    payoffs_Y = payoffs_control(bs, K, Gn)\n",
    "    payoffs = payoffs_X - payoffs_Y\n",
    "    return bs[\"actualization\"] * payoffs"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "58a7b381",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-01-08T17:04:03.195879Z",
     "iopub.status.busy": "2026-01-08T17:04:03.195830Z",
     "iopub.status.idle": "2026-01-08T17:04:08.149998Z",
     "shell.execute_reply": "2026-01-08T17:04:08.149595Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 800x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "r_mc = monte_carlo_by_steps(\n",
    "    lambda size: sampling_payoffs_control_variate(K, size, bs, rng), \n",
    "    steps)\n",
    "r_qmc = { \n",
    "    name: monte_carlo_by_steps(\n",
    "        lambda size: qsampling_payoffs_control_variate(K, size, bs, algo),\n",
    "        steps)\n",
    "    for name, algo in qmc_algos.items() \n",
    "}\n",
    "fig, (ax1, ax2) = plt.subplots(figsize=(8, 4), ncols=2, nrows=1, \n",
    "                               sharey=True, layout='tight')\n",
    "\n",
    "ax1.plot(steps, r_qmc[\"halton\"][\"means\"], label=\"Halton QMC est.\")\n",
    "ax1.plot(steps, r_qmc[\"sobol\"][\"means\"], label=\"Sobol QMC est.\")\n",
    "ax2.plot(steps, r_qmc[\"halton_scrambled\"][\"means\"], label=\"Halton RQMC est.\")\n",
    "ax2.plot(steps, r_qmc[\"sobol_scrambled\"][\"means\"], label=\"Sobol RQMC est.\")\n",
    "for ax in (ax1, ax2): \n",
    "    ax.plot(steps, r_mc[\"means\"], label=\"MC estimator\")\n",
    "    ax.fill_between(steps, r_mc[\"lowers\"], r_mc[\"uppers\"], \n",
    "                    facecolor='lightyellow', label=\"MC 95% CI\")\n",
    "    ax.set_ylim([12.24, 12.29])\n",
    "    ax.legend(loc='lower right')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "9834b0b6-0359-4c6d-9fa0-bbe0aede4f48",
   "metadata": {},
   "outputs": [],
   "source": []
  }
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