{ "nbformat": 4, "nbformat_minor": 0, "metadata": { "colab": { "provenance": [] }, "kernelspec": { "name": "python3", "display_name": "Python 3" }, "language_info": { "name": "python" } }, "cells": [ { "cell_type": "markdown", "source": [ "# **Visualisation des Distributions Discrètes et Continues**" ], "metadata": { "id": "ODFUJKYjmLzC" } }, { "cell_type": "code", "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from scipy.stats import poisson, norm\n", "import seaborn as sns\n", "sns.set_theme()\n", "\n", "# --- Définir la distribution discrète : Poisson ---\n", "x_discrete = np.arange(0, 11) # Valeurs possibles de X (entiers de 0 à 10)\n", "lambda_poisson = 3 # Paramètre lambda de la loi de Poisson (moyenne attendue)\n", "# Calculer les probabilités (pmf : probability mass function)\n", "y_discrete = poisson.pmf(x_discrete, mu=lambda_poisson)\n", "\n", "# --- Définir la distribution continue : Normale ---\n", "x_continuous = np.linspace(-3, 3, 500) # Intervalle continu pour X (de -3 à 3)\n", "mean, std_dev = 0, 1 # Paramètres de la loi Normale (moyenne et écart-type)\n", "# Calculer la densité de probabilité (pdf : probability density function)\n", "y_continuous = norm.pdf(x_continuous, loc=mean, scale=std_dev)\n", "\n", "# --- Créer la figure contenant les deux graphiques ---\n", "plt.figure(figsize=(10, 6)) # Définir la taille de la figure\n", "\n", "# --- Tracer la distribution discrète (Poisson) ---\n", "# Créer le premier sous-graphe (1 ligne, 2 colonnes, 1er graphe)\n", "plt.subplot(1, 2, 1)\n", "# Barres pour la distribution discrète avec légende\n", "plt.bar(x_discrete, y_discrete, width=0.4, color='green', edgecolor='black',\n", " label=\"Probabilité: $P(X = x)$\")\n", "# Titre avec paramètre λ\n", "plt.title(f\"Distribution Discrète (Poisson, λ={lambda_poisson})\", fontsize=12)\n", "plt.xlabel(\"$x$\", fontsize=10) # Étiquette de l'axe X\n", "plt.ylabel(\"$P_X(x)$\", fontsize=10) # Étiquette de l'axe Y\n", "plt.xticks(fontsize=8) # Taille des valeurs affichées sur l'axe X\n", "plt.yticks(fontsize=8) # Taille des valeurs affichées sur l'axe Y\n", "# Ajouter la légende pour indiquer la signification des barres\n", "plt.legend(fontsize=8)\n", "plt.grid(alpha=0.3) # Ajouter une grille avec transparence\n", "\n", "# --- Tracer la distribution continue (Normale) ---\n", "plt.subplot(1, 2, 2) # Créer le second sous-graphe (2e position)\n", "# Tracer la courbe de densité\n", "plt.plot(x_continuous, y_continuous, color='black', linewidth=2)\n", "# Mettre en évidence une zone sous la courbe normale\n", "plt.fill_between(x_continuous, y_continuous,\n", " where=(x_continuous >= -1) & (x_continuous <= 1),\n", " color='green', alpha=0.5,\n", " label=\"Probabilité: $P(-1 \\leq X \\leq 1)$\")\n", "plt.title(f\"Distribution Continue (Normale, $\\mu={mean}$, $\\sigma={std_dev}$)\",\n", " fontsize=12) # Titre avec paramètres μ et σ\n", "plt.xlabel(\"$x$\", fontsize=10) # Étiquette de l'axe X\n", "plt.ylabel(\"$f_X(x)$\", fontsize=10) # Étiquette de l'axe Y\n", "plt.legend(fontsize=8) # Ajouter une légende pour la zone mise en évidence\n", "plt.xticks(fontsize=8) # Taille des valeurs affichées sur l'axe X\n", "plt.yticks(fontsize=8) # Taille des valeurs affichées sur l'axe Y\n", "plt.grid(alpha=0.3) # Ajouter une grille avec transparence\n", "\n", "# --- Finaliser et afficher la figure ---\n", "# Ajuster l'espacement entre les sous-graphiques pour éviter le chevauchement\n", "plt.tight_layout()\n", "plt.show() # Afficher la figure\n" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 601 }, "id": "ydz4xIKylXXL", "outputId": "ce926cb3-dd8f-4e2e-d378-cc911cb2edca" }, "execution_count": null, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
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\n" }, "metadata": {} } ] }, { "cell_type": "markdown", "source": [ "# **Visualisation de la Distribution de Bernoulli**" ], "metadata": { "id": "w9lxXz9EZK2A" } }, { "cell_type": "code", "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "# Paramètre de la distribution de Bernoulli\n", "p = 0.7\n", "\n", "# Valeurs possibles de la variable aléatoire\n", "x = [0, 1]\n", "# Probabilités correspondantes\n", "probs = [1 - p, p]\n", "\n", "# Visualisation\n", "plt.bar(x, probs, color=['blue', 'green'], edgecolor='black')\n", "plt.title(f\"Distribution de Bernoulli (p = {p})\")\n", "plt.xlabel(\"Valeurs possibles (x)\")\n", "plt.ylabel(\"Probabilité P(X = x)\")\n", "plt.xticks(x)\n", "plt.ylim(0, 1)\n", "plt.grid(axis='y', alpha=0.3)\n", "plt.show()" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 480 }, "id": "wz9P8bgpC-S-", "outputId": "fd97543e-ee94-44a7-dff8-506264daafd9" }, "execution_count": null, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
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KzZs31/Tp05WYmKjAwEDFxsZq+/btioiIcNpMud27d9dHH32kESNG6ODBg/Lz88vx8n83Nze99dZbGjRokNq3b6/OnTurUqVKOn36tPbs2aOyZctq3rx5+e7v0KFD1qN+ly5d0rfffqvPP/9cjRo1sh4FLFu2rN544w29+uqr6ty5s5588kn5+vrq5MmT2rlzpxo3bqwxY8Y45flL0rBhw7Rr1y716tVLvXr1kru7u1auXKn09HT9+9//tq4XHBysypUr6z//+Y/i4+Pl7u6u1atXq3z58i49GvToo4/Kw8NDu3btspmH54aMjAz169dPYWFhOnbsmD7++GM1adIkz0HRknPHBDVo0EChoaGaNm2akpKSVKNGDa1du1aJiYkaP368zbojRozQ3r17czy6tHHjRnl6eqpt27a57isjI0PfffddroPhcXsgBOG2NHPmTEnXL+stV66cAgIC9Nprr9l177Ab9xdavXq1zp8/r/Lly6tZs2Z68cUXrf8jLFGihCZNmqRp06bpjTfeUGZmpiZOnOhwCBoyZIh+/fVXLViwQJcuXVJQUJBef/1161Ed6fqRi5EjR+qDDz7QhAkTVK9ePc2bN09vv/22zbYKUpubm5veffddzZw5U5s3b9aaNWtUpUoVvfrqq+rfv79DzyUnpUuX1uLFizVu3DgtW7ZMpUqVUocOHRQSEqKBAwfarNu8eXOtXLlSc+fO1bJly3T58mX5+fmpfv36OX4552TTpk3atGmTpOsDmu+++24NGDBAUVFRNuN6OnTooIoVK2rBggVauHCh0tPTValSJTVt2rRAV/fZ47777tNHH32kqVOnav78+bJYLKpfv76mTJliM0dQiRIlNHv2bI0dO1YzZsyQn5+fIiIi5O3tbfdpJUfcmF5hy5YtOb7OY8aM0caNGzVz5kxlZGSoXbt2Gj16tNNPDedn8uTJeuedd7RhwwalpKQoMDBQ8+bN04MPPmhX/4sXL2rHjh169NFH8zzCs3v3bl24cEFPP/20s0pHEWSyMPwdACDp+++/V9++fbVlyxbVrFlT0v/dlPjTTz+1uRXN7e7555+XyWTSnDlzCrsUuBBjggAAkqSmTZsqODhY77//fmGXUqji4uK0Y8cO7hlmAEXqdNiJEye0cOFC/fjjjzp69Kj8/f2th7TzYrFY9N577+njjz9WcnKyateurVGjRqlhw4auLxoAbiNGD0DS9bmbDh06VNhl4BYoUkeCjh49qp07d6pGjRq5zuCZk/fee08zZ85Uv379NH/+fPn5+al///75zmILAACMq0iNCfr7dPgjR47UL7/8ku+RoGvXrqlFixbq3bu3XnrpJUn/d4+fkJAQvfHGG64uGwAAFENF6kiQI/do+uGHH3Tx4kXrTRml6zO7Pv7444qJiXFmeQAA4DZSpEKQI27MbOvv72/TXqtWLZ08ebJAN9QDAADGUexDUGpqqjw9PbNNfuft7S2LxaKUlJRCqgwAABRlRerqsKLGYrFwF2GDMJlMvNfAbY7PuTGYTCa7J/Es9iHI29tb6enpunbtms3RoNTUVJlMJvn4+Di8bbPZovPns9+/CLcXd3c3lS/vpQsXLisry1zY5QBwAT7nxlG+vJfc3Q0Sgm6MBTp27Jj1xojS9bFClStXznZvooLiPw3GwvsN3P74nOOGYj8mqHHjxipbtqy2bNlibcvIyNAXX3zhtDtgAwCA20+ROhJ05coV7dy5U5KUmJioixcvKjo6WpLUrFkz+fr6KiIiQidPntTWrVslSSVLllRkZKRmzZolX19fBQQEaPny5bpw4YIGDBhQaM8FAAAUbUUqBCUlJWW7V8uNxx9++KGaN28us9msrKwsm3UGDRoki8WiRYsWWW+bsXDhQofv6A0AAG5/RWrG6KImK8us5GQGRt/uPDyuD5g8f/6SMjMZMAncjvicG4evr5fc3e0b7VPsxwQBAAA4ghAEAAAMiRAEAAAMiRAEAAAMiRAEAAAMiRAEAAAMiRAEAAAMiRAEAAAMiRAEAAAMiRAEAAAMiRAEAAAMiRAEAAAMiRAEAAAMiRAEAAAMiRAEAAAMiRAEAAAMiRAEAAAMiRAEAAAMiRAEAAAMiRAEAAAMiRAEAAAMiRAEAAAMiRAEAAAMiRAEAAAMiRAEAAAMiRAEAAAMiRAEAAAMiRAEAAAMiRAEAAAMiRAEAAAMiRAEAAAMiRAEAAAMiRAEAAAMiRAEAAAMiRAEAAAMiRAEAAAMiRAEAAAMiRAEAAAMiRAEAAAMiRAEAAAMiRAEAAAMiRAEAAAMiRAEAAAMiRAEAAAMiRAEAAAMiRAEAAAMiRAEAAAMiRAEAAAMiRAEAAAMiRAEAAAMiRAEAAAMiRAEAAAMiRAEAAAMiRAEAAAMiRAEAAAMiRAEAAAMiRAEAAAMiRAEAAAMiRAEAAAMiRAEAAAMiRAEAAAMqciFoLi4OD377LNq2LChgoODNXnyZKWnp+fb7/z58xozZoweffRRNWzYUO3bt9fy5ctvQcUAAKA48ijsAv4uJSVFERERqlmzpmbNmqXTp09r0qRJunr1qsaMGZNn33/961+Kj4/XSy+9pLvvvlsxMTF644035O7uru7du9+iZwAAAIqLIhWCVqxYoUuXLmn27NkqV66cJCkrK0tjx45VZGSkKlWqlGO/s2fPas+ePZo4caI6d+4sSQoKCtLPP/+szz77jBAEAACyKVKnw2JiYhQUFGQNQJIUFhYms9ms2NjYXPtlZmZKku644w6b9rJly8pisbikVgAAULwVqRAUHx8vf39/mzZvb2/5+fkpPj4+13533323WrZsqXnz5un333/XxYsXtXnzZsXGxqp3796uLhsAABRDRep0WGpqqry9vbO1+/j4KCUlJc++s2bN0vDhw9WuXTtJkru7u0aPHq22bdveVE0m0011RzHD+w3c/vic44YiFYIcZbFYNGrUKB0/flxTp06Vn5+fdu3apQkTJsjHx8cajArKZJJKlHB3crUoatzdrx8QLVHCXW5u/HUEbkd8zo2jICG3SIUgb29vpaWlZWtPSUmRj49Prv127Nih6OhobdiwQYGBgZKk5s2bKykpSZMmTXI4BFksUkZGlkN9UXyYzdfHjWVkZCkry1zI1QBwBT7nxlGQocBFKgT5+/tnG/uTlpams2fPZhsr9He///673N3dFRAQYNNeu3ZtffLJJ7py5YpKly7tUE2MqzYW3m/g9sfnHDcUqYHRISEh2rVrl1JTU61t0dHRcnNzU3BwcK79qlSpoqysLP3666827QcPHlSFChUcDkAAAOD2VaRCUHh4uLy8vBQVFaVvvvlGq1ev1uTJkxUeHm4zR1BERIQef/xx6+OQkBBVrlxZQ4cO1fr167V7925NmTJFa9euVZ8+fQrjqQAAgCLOZCliE+nExcVp3Lhx2r9/v7y8vNSpUycNHz5cnp6e1nX69u2rxMREffnll9a2EydOaPr06dq3b5/S0tJUtWpVdevWTX369JG7u2ODm7OyzEpOvnTTzwlFm4eHm8qX99L585eUmclYAeB2xOfcOHx9vawD4fNT5EJQUUIIMgb+OAK3Pz7nxlGQEFSkTocBAADcKoQgAABgSIQgAABgSIQgAABgSIQgAABgSIQgAABgSIQgAABgSIQgAABgSIQgAABgSIQgAABgSIQgAABgSIQgAABgSIQgAABgSIQgAABgSIQgAABgSIQgAABgSIQgAABgSIQgAABgSIQgAABgSIQgAABgSIQgAABgSIQgAABgSIQgAABgSIQgAABgSIQgAABgSB6OdDpy5Ij27dunuLg4nT9/XiaTSeXLl5e/v78aN26s2rVrO7tOAAAAp7I7BCUlJenjjz/WunXrdPLkSVksFpUoUUI+Pj6yWCxKTU1VRkaGTCaT7r77bj399NPq2bOn7rzzTlfWDwAA4BC7QtCUKVP08ccfy8vLS6GhoWrRooXq1q2rSpUq2ax3+vRpHTx4ULGxsVq1apUWLVqkPn366OWXX3ZJ8QAAAI4yWSwWS34r9ejRQ4MGDVLr1q1lMpns2rDFYtH27dv1/vvva8WKFTddaGHIyjIrOflSYZcBF/PwcFP58l46f/6SMjPNhV0OABfgc24cvr5ecne3b8izXSHIqAhBxsAfR7hKQsKfSk5OKuwyIMnd3U3e3qWVmnpFWVl8zosCX98Kqlq1mgu2a38IcmhgNAAgbwkJfyqoRWNdu3qtsEsBiqSSpUpq964fXBKE7OVQCJo6daqGDh2qEiVK5Lj87Nmz+u9//6t58+bdVHEAUFwlJyddD0CdJXF9CGDrnHRtzTUlJycVvxC0cOFC7dixQ2+//bbq1Kljs2z9+vWaMGGCzGYONwKA7pRUubCLAJAThyZL/PDDD3X16lV1795ds2fPVlZWlpKSkhQVFaURI0aoXr162rhxo7NrBQAAcBqHjgQ1bdpUGzZs0JQpUzR37lx98cUXOnPmjNLT0zV27Fj16NHD2XUCAAA4lcO3zShdurSGDh2qunXr6rffflNKSoqGDBlCAAIAAMWCwyHoq6++Uvv27RUXF6dXX31VQUFBmj59uoYNG6bz5887s0YAAACncygEjRw5Us8//7xq1Kih9evXq3///lq0aJHGjBmjmJgYtW/fXtu2bXN2rQAAAE7jUAjasmWL/v3vf2vZsmWqVu3/Lm3r2bOn1q9fL39/f7344otOKxIAAMDZHBoYvWbNGtWqVSvHZdWqVdPSpUu1dOnSmyoMAADAlRw6EpRbAPq7vn37OrJpAACAW8LhgdEAAADFGSEIAAAYEiEIAAAYEiEIAAAYEiEIAAAYEiEIAAAYksMh6OLFi3rmmWd06NAhSVJKSorNYwAAgKLM4RCUkZGhvXv3KiUlJcfHAAAARRmnwwAAgCERggAAgCERggAAgCERggAAgCERggAAgCERggAAgCERggAAgCERggAAgCE5HIJKliypp59+WhUrVpQklSpVyuYxAABAUebhaMcyZcpo4sSJ1sdly5a1eQwAAFCUcToMAAAYEiEIAAAYUpELQXFxcXr22WfVsGFDBQcHa/LkyUpPT7er7+nTpzVixAg99NBDql+/vsLCwrRhwwYXVwwAAIojh8cEuUJKSooiIiJUs2ZNzZo1S6dPn9akSZN09epVjRkzJs++Z86cUY8ePXTPPfdo3LhxKlu2rI4ePWp3gAIAAMZSpELQihUrdOnSJc2ePVvlypWTJGVlZWns2LGKjIxUpUqVcu07ZcoU3XXXXXr//ffl7u4uSQoKCroVZQMAgGKoSJ0Oi4mJUVBQkDUASVJYWJjMZrNiY2Nz7Xfx4kVt2bJFvXr1sgYgAACAvNgdgnbu3Gn3Ri9fvqwJEyYUuJj4+Hj5+/vbtHl7e8vPz0/x8fG59jt48KAyMjLk4eGhPn36qG7dugoODtaUKVOUkZFR4Dr+zmTi53b/4f3mxxU/AOxTmJ89u0+HRUZGKjQ0VK+99lqeEyJ+/vnnmjBhgs6dO6fXXnutQMWkpqbK29s7W7uPj49SUlJy7Xfu3DlJ0ujRo9W9e3e98MIL+umnnzRz5ky5ubnp5ZdfLlAdN5hMUokSHFm63bm7X/+/QIkS7nJz49sLzuHhUaQOtANFkoeHm9O/ZwsShOwOQS+99JLmzp2r2NhYDRs2TL1797ZZnpCQoDfffFNff/21ateurdmzZ9tfxU0ym82SpBYtWmjkyJGSpIceekiXLl3SokWLFBUVpVKlShV4uxaLlJGR5dRaUfSYzRZJ19/rrCxzIVeD20VmJr9LQH4yM81O/561WOxf1+7/qgwePFgbN25UgwYNNG7cOHXv3l1HjhxRZmam5s2bp/bt2+uHH37Qa6+9pk8//VQPPPBAgQv39vZWWlpatvaUlBT5+Pjk2U+6Hnz+LigoSOnp6Tpx4kSBa7nBYuHndv/h/ebHFT8A7FOYn70CXR1WrVo1vf/++/rss880ceJEde3aVRUrVtSpU6fUtm3bfE+V5cff3z/b2J+0tDSdPXs221ihv7v33nvz3O61a9ccrgkAANyeHDpp3bJlSzVt2lSZmZk6efKk7rvvPo0aNeqmb54aEhKiXbt2KTU11doWHR0tNzc3BQcH59qvSpUqCggI0K5du2zad+3apVKlSuUbkgAAgPEUOAStW7dOYWFh2r59uyIjIzVy5EglJCToySef1NKlS2W5iePA4eHh8vLyUlRUlL755hutXr1akydPVnh4uM0cQREREXr88cdt+g4fPlxffvmlxo8fr9jYWM2bN0+LFi1Sv379VKZMGYdrAgAAtye7Q9CJEyfUr18/jRw5UjVr1tTatWs1fPhw9evXT5999pmaNWum8ePHq2vXrjp48KBDxfj4+GjJkiVyd3dXVFSUpk6dqq5du1oHO99gNpuVlWU7kKpVq1aaNm2adu/ercjISK1atUovvviihg0b5lAtAADg9may2Hnopn79+ipdurReeeUVdevWLcd1tm7dqrfeekvnzp1Tr1699J///Mepxd5qWVlmJSdfKuwy4GIeHm4qX95L589f4ooeOM1PPx1QmzYh0mBJlQu7GqCIOSlpgbRtW4zq12/o1E37+npZpz7Jj91Hgtq2bastW7bkGoAk6fHHH9fmzZvVs2dPLV++3N5NAwAA3HJ2Xx02ZcoUu9bz8vLS6NGj9fTTTztcFAAAgKu5bErTunXrumrTAAAAN82uEDR//nxdvHixwBu/ePGi5s+fX+B+AAAArmZXCNq0aZMee+wxvfHGG9qzZ0+2K7P+LiMjQ7t27dJ///tfPfroo9q0aZPTigUAAHAWu8YEbdiwQRs3btSiRYu0YsUKeXp66r777lPVqlXl4+Mji8WilJQUJSQk6OjRo8rMzFRAQID++9//qmPHjq5+DgAAAAVmVwgymUzq2LGjOnbsqEOHDmnbtm06cOCAfvzxR124cEGSVK5cOfn7+2vQoEFq3bo1Y4IAAECRVqB7h0lSnTp1VKdOHVfUAgAAcMu47OowAACAoqxAIWjlypUKCwvTAw88oIcfflgTJkxQenq6q2oDAABwGbtD0LZt2/T666/rr7/+UmBgoCwWi5YuXarXX3/dlfUBAAC4hN0h6IMPPlD16tW1detWffrpp9qxY4fCwsK0ceNGh+YQAgAAKEx2h6Bjx46pR48euvPOOyVJHh4eGjx4sDIzMxUXF+eyAgEAAFzB7hCUnJysihUr2rRVqlRJknTlyhXnVgUAAOBiBRoYbTKZXFUHAADALVWgeYIWLVpkcxuMzMxMSdI777yjcuXK2axrMpn07rvv3nyFAAAALmB3CKpcubIuXLhgnSH67+1nzpzRmTNnbNo5agQAAIoyu0PQl19+6co6AAAAbilmjAYAAIZECAIAAIZECAIAAIZECAIAAIZECAIAAIZECAIAAIZUoMkS/yk9PV0HDx5UUlKSGjduLF9fX2fVBQAA4FIOHwn68MMP1bJlS/Xq1Usvvviifv31V0nX7zHWvHlzffrpp04rEgAAwNnyDUEbNmzQH3/8YdO2evVqTZgwQQ8//LDGjx8vi8ViXebr66uHHnpImzdvdn61AAAATpJvCEpNTVV4eLh++ukna9sHH3yg1q1ba+rUqXrsscey9albt66OHj3q3EoBAACcKN8Q1KdPHz333HMaNGiQ9u7dK0k6ceKEQkJCcu1Trly5bPcYAwAAKErsGhjdt29fNWjQQPHx8ZIkb29vnT9/Ptf1f//9d/n5+TmnQgAAABewe2B0/fr19dRTT0mSQkJCtGrVKqWmpmZb7+jRo/rkk0/UqlUrpxUJAADgbA5dIj9s2DB1795d7du312OPPSaTyaR169Zp9erV+uKLL+Tn56fnn3/e2bUCAAA4jUOXyFeqVElr1qzRww8/rC1btshisWj9+vX66quv1K5dO61atYo5gwAAQJHm8GSJFSpU0Pjx4zV+/HglJyfLbDbL19dXbm5MQg0AAIo+hxLLqFGj9OOPP1of+/r66s4777QGoJ9++kmjRo1yToUAAAAu4FAIWrt2bbYJFP8uISFB69atc7QmAAAAl3PJuaszZ86oVKlSrtg0AACAU9g9Jmjbtm3avn279fGqVau0a9eubOulpaVp165dqlevnnMqBAAAcAG7Q1BcXJyio6MlSSaTST/++KN++eUXm3VMJpPKlCmjBx98UCNHjnRupQAAAE5kdwiKjIxUZGSkJOn+++/X+PHj1aFDB5cVBgAA4EoOXSJ/5MgRZ9cBAABwSzGpDwAAMCS7jgTdf//9cnNz04EDB+Tp6an7779fJpMpzz4mk0mHDh1ySpEAAADOZlcIioqKkslkkoeHh81jAACA4squEPTiiy/m+RgAAKC4YUwQAAAwJLuOBDl6C4ynnnrKoX4AAACuZlcIcmTiQ5PJRAgCAABFll0h6O+3ywAAALgd2BWCqlSp4uo6AAAAbikGRgMAAEOy60hQ37595ebmpoULF8rDw0PPPPNMvn1MJpOWLFly0wUCAAC4gt33DjObzdZ/WyyWfNe3Zx0AAIDCYlcIWrp0aZ6PAQAAihvGBAEAAEOy+3RYTr766ivt3LlTiYmJkq5fRfbII4/osccec0pxAAAAruJQCEpNTVVUVJS+//57ubu7y8/PT5K0e/durVy5Uk2bNtWcOXPk7e3t1GIBAACcxaHTYePHj9e+ffv0yiuvaO/evfrqq6/01Vdfae/evXr55Ze1b98+jR8/3tm1AgAAOI1DR4K2bdumXr16acCAATbtZcqU0cCBA3Xq1CmH7zcGAABwKzh0JMjDw0P33HNPrsv9/f3l4XFTw40AAABcyqEQ1LZtW0VHRysrKyvbsszMTG3ZskWhoaE3XRwAAICr2BWCDh48aPPTsWNHpaSkKDw8XJ988on27t2rvXv36pNPPlF4eLjS0tLUoUMHhwqKi4vTs88+q4YNGyo4OFiTJ09Wenp6gbaxePFiBQYGKjIy0qEaAADA7c+uc1ZdunSRyWSyabsxI/TPP/9sXfb3WaL79u2rw4cPF6iYlJQURUREqGbNmpo1a5ZOnz6tSZMm6erVqxozZoxd2zh79qzmzJmjChUqFGjfAADAWOwKQRMnTnR1HZKkFStW6NKlS5o9e7bKlSsnScrKytLYsWMVGRmpSpUq5buNKVOmqFWrVjp58qSLqwUAAMWZXSHo6aefdnUdkqSYmBgFBQVZA5AkhYWF6fXXX1dsbKw6d+6cZ//vv/9e27ZtU3R0tF5++WUXVwsAAIqzInUJV3x8vLp06WLT5u3tLT8/P8XHx+fZNysrS+PGjdOQIUNUsWJFp9X0j7OAuM3xfgPArVWYf3cdDkHXrl3T559/rkOHDiktLc3mLvOSZDKZNGHChAJtMzU1NcdZpn18fJSSkpJn348//lhXrlxRv379CrTPvJhMUokS7k7bHoomd/fr1weUKOEuNzdSEJzDw4NbMwL58fBwc/r3bEFClUMhKDExUc8884wSExPl7e2ttLQ0+fj4KC0tTVlZWSpfvrzKlCnjyKYdkpSUpJkzZ+rtt9+Wp6en07ZrsUgZGdmnAcDtxWy+PqA/IyNLWVnmfNYG7JOZye8SkJ/MTLPTv2f/do1WvhwKQZMnT9bFixe1atUqVa1aVS1atND06dPVpEkTffjhh/roo4+0cOHCAm/3RqD6p5SUFPn4+OTab8aMGQoMDFTTpk2Vmpoq6fp8RZmZmUpNTVWZMmUcnryxIC8mij/ebwC4tQrz765DyeDbb79Vz549Vb9+fV24cMHa7unpqYEDByouLk4TJkzQggULCrRdf3//bGN/0tLSdPbsWfn7++fa79ixY/ruu+/04IMPZlv24IMP6r333lNISEiBagEAALc3h0LQ1atXVaVKFUlS2bJlZTKZbI7gNGrUSG+//XaBtxsSEqJ58+bZjA2Kjo6Wm5ubgoODc+332muvWY8A3TBhwgSVKlVKL730kgIDAwtcCwAAuL05FILuvvtunT59+voGPDxUqVIlHThwQE888YQk6ffff1fJkiULvN3w8HAtXbpUUVFRioyM1OnTpzV58mSFh4fbzBEUERGhkydPauvWrZKk2rVrZ9uWt7e3ypQpo+bNmzvyFAEAwG3OoRD00EMPafv27XrhhRckXZ9HaMGCBUpNTZXZbNaGDRvUqVOnAm/Xx8dHS5Ys0bhx4xQVFSUvLy917dpVw4cPt1nPbDbneN8yAAAAezkUggYPHqyff/5Z6enp8vT01JAhQ3TmzBl9/vnncnNzU/v27TVq1CiHCqpVq5YWL16c5zpLly7Ndzv2rAMAAIzLoRBUuXJlVa5c2fq4ZMmSGj9+vMaPH++0wgAAAFzppmeMtlgsSk5OliT5+vpmu9EqAABAUeRwCPr99981c+ZMff3117p69aokqVSpUnr44Yf1wgsvKCAgwGlFAgAAOJtDIej777/XoEGDZDab1bp1a9WsWVPS9fl6vvzyS8XExOj9999X06ZNnVkrAACA0zgUgiZMmCBfX18tW7ZMd999t82yU6dOqXfv3po4caJWr17tlCIBAACczaE7/P3+++/q1atXtgAkXZ9DqGfPnvr9999vujgAAABXcSgEVa5cWenp6bkuz8jI0F133eVwUQAAAK7mUAiKiorS0qVLdfjw4WzLDh06pGXLlunFF1+86eIAAABcxa4xQW+99Va2tgoVKqhz585q1KiRatSoIUk6fvy4Dhw4oPvuu08HDhxQ+/btnVstAACAk9gVgpYtW5brsh9++EE//PCDTdtvv/2mo0ePavTo0TdXHQAAgIvYFYKOHDni6joAAABuKYfGBAEAABR3N3XbjD///FMxMTE6efKkpOtXjYWEhKhatWpOKQ4AAMBVHA5BkyZN0ocffiiz2WzT7ubmpoiICI0YMeKmiwMAAHAVh0LQokWLtHjxYrVt21b9+/dXrVq1JElxcXFavHixFi9erEqVKqlfv37OrBUAAMBpHApBq1atUqtWrTRjxgyb9gYNGmj69Om6du2aVqxYQQgCAABFlkMDoxMTE9WyZctcl7ds2VKJiYkOFwUAAOBqDoWgChUq5HnZ/JEjR+Tr6+twUQAAAK7mUAgKDQ3Vp59+qgULFujy5cvW9suXL2vBggX69NNP9eSTTzqtSAAAAGdzaEzQv/71Lx0+fFjTpk3TzJkzVbFiRUnSmTNnlJmZqebNm2vo0KFOLRQAAMCZHApBpUuX1pIlS7Rt2zabeYJatmypRx55RK1atZLJZHJqoQAAAM5U4BB05coV/fvf/9YTTzyhjh07qk2bNq6oCwAAwKUKPCaodOnS2rVrl65eveqKegAAAG4JhwZGN2nSRPv373d2LQAAALeMQyFozJgx2rdvn6ZPn66//vrL2TUBAAC4nEMDozt27KisrCwtWLBACxYskLu7uzw9PW3WMZlM2rdvn1OKBAAAcDaHQlDbtm25+gsAABRrDoWgSZMmObsOAACAW6pAIejatWvavn27EhISVL58eT3yyCPWiRJRMAkJfyo5Oamwy4Akd3c3eXuXVmrqFWVlmQu7HEjy9a2gqlWrFXYZAG5zdoegpKQkhYeHKyEhQRaLRdL1y+XnzJmjFi1auKzA21FCwp8KCnpQ165dzn9lwIBKliyj3bu/IwgBcCm7Q9DcuXOVmJiofv366aGHHtKJEyc0d+5cjRkzRtu2bXNljbed5OSk/x+AlkmqXdjlAEXMYV271kfJyUmEIAAuZXcI+uabb9SpUyeNGDHC2nbnnXfq5ZdfVnx8vPz9/V1S4O2ttqTGhV0EAACGZPc8QadOnVKTJk1s2po0aSKLxaKkJMa2AACA4sXuEJSenq6SJUvatN2YGygzM9O5VQEAALhYga4OS0xM1MGDB62P09LSJEknTpyQt7d3tvXr1q17k+UBAAC4RoFC0IwZMzRjxoxs7WPHjrV5bLFYZDKZdPjw4ZurDgAAwEXsDkETJ050ZR0AAAC3lN0h6Omnn3ZlHQAAALeUQ3eRBwAAKO4IQQAAwJAIQQAAwJAIQQAAwJAIQQAAwJAIQQAAwJAIQQAAwJAIQQAAwJAIQQAAwJAIQQAAwJAIQQAAwJAIQQAAwJAIQQAAwJAIQQAAwJAIQQAAwJAIQQAAwJAIQQAAwJAIQQAAwJAIQQAAwJAIQQAAwJAIQQAAwJAIQQAAwJAIQQAAwJA8CruAf4qLi9Nbb72l/fv3y8vLS506ddKwYcPk6emZa58zZ85o8eLFio2N1R9//KE77rhDDz74oF566SVVqVLlFlYPAACKiyIVglJSUhQREaGaNWtq1qxZOn36tCZNmqSrV69qzJgxufY7ePCgtm7dqi5duqhBgwY6f/683n33XXXr1k2bNm2Sr6/vLXwWAACgOChSIWjFihW6dOmSZs+erXLlykmSsrKyNHbsWEVGRqpSpUo59mvSpIm2bNkiD4//ezqNGzfWo48+qnXr1ql///63onwAAFCMFKkxQTExMQoKCrIGIEkKCwuT2WxWbGxsrv28vb1tApAk3XXXXfL19dWZM2dcVS4AACjGitSRoPj4eHXp0sWmzdvbW35+foqPjy/Qto4dO6akpCTVqlXrpmoymW6qO4CbwOcPuP0V5ue8SIWg1NRUeXt7Z2v38fFRSkqK3duxWCx66623VLFiRbVr187hekwmqUQJd4f758bDo0gdgAOKJA8PN5d8/m4VPudA/lzxOS9IqCpSIchZZs2apW+//Vbvv/++ypQp4/B2LBYpIyPLiZVdl5lpdvo2gdtNZqbZJZ+/W4XPOZA/V3zOLRb71y1SIcjb21tpaWnZ2lNSUuTj42PXNlatWqU5c+Zo/PjxCgoKuumaCvJiAnAuPn/A7a8wP+dF6nitv79/trE/aWlpOnv2rPz9/fPtv3XrVr3xxhsaOnSounbt6qoyAQDAbaBIhaCQkBDt2rVLqamp1rbo6Gi5ubkpODg4z7579uzRSy+9pG7duikqKsrVpQIAgGKuSIWg8PBweXl5KSoqSt98841Wr16tyZMnKzw83GaOoIiICD3++OPWx3FxcYqKilLNmjXVqVMnHThwwPrzxx9/FMZTAQAARVyRGhPk4+OjJUuWaNy4cYqKipKXl5e6du2q4cOH26xnNpuVlfV/A6l+/PFHpaWlKS0tTT179rRZ9+mnn9akSZNuSf0AAKD4KFIhSJJq1aqlxYsX57nO0qVLbR537txZnTt3dmFVAADgdlOkTocBAADcKoQgAABgSIQgAABgSIQgAABgSIQgAABgSIQgAABgSIQgAABgSIQgAABgSIQgAABgSIQgAABgSIQgAABgSIQgAABgSIQgAABgSIQgAABgSIQgAABgSIQgAABgSIQgAABgSIQgAABgSIQgAABgSIQgAABgSIQgAABgSIQgAABgSIQgAABgSIQgAABgSIQgAABgSIQgAABgSIQgAABgSIQgAABgSIQgAABgSIQgAABgSIQgAABgSIQgAABgSIQgAABgSIQgAABgSIQgAABgSIQgAABgSIQgAABgSIQgAABgSIQgAABgSIQgAABgSIQgAABgSIQgAABgSIQgAABgSIQgAABgSIQgAABgSIQgAABgSIQgAABgSIQgAABgSIQgAABgSIQgAABgSIQgAABgSIQgAABgSIQgAABgSIQgAABgSIQgAABgSIQgAABgSIQgAABgSIQgAABgSIQgAABgSIQgAABgSIQgAABgSEUuBMXFxenZZ59Vw4YNFRwcrMmTJys9PT3ffhaLRQsWLNCjjz6q+vXrq0ePHjpw4IDrCwYAAMVSkQpBKSkpioiIUEZGhmbNmqXhw4dr1apVmjRpUr5933vvPc2cOVP9+vXT/Pnz5efnp/79++vPP/+8BZUDAIDixqOwC/i7FStW6NKlS5o9e7bKlSsnScrKytLYsWMVGRmpSpUq5djv2rVrmj9/vvr3769+/fpJkpo0aaLQ0FAtXLhQb7zxxq15AgAAoNgoUkeCYmJiFBQUZA1AkhQWFiaz2azY2Nhc+/3www+6ePGiwsLCrG2enp56/PHHFRMT48qSAQBAMVWkjgTFx8erS5cuNm3e3t7y8/NTfHx8nv0kyd/f36a9Vq1aWrJkia5evapSpUoVuB43N5N8fb0K3C8/LVo0VVxcnCQ/Sdecvn2geLtPUpzuvvtueXqWLOxiHGb9nHupiP13EygCzJJGyCWfczc3k93rFqkQlJqaKm9v72ztPj4+SklJybOfp6enSpa0fSG9vb1lsViUkpLiUAgymUxyd7f/xbRX6dKlswU2ADeUlHRHYRdx0/icA0Uf/z8BAACGVKRCkLe3t9LS0rK1p6SkyMfHJ89+6enpunbN9tRSamqqTCZTnn0BAIAxFakQ5O/vn23sT1pams6ePZvnYeUby44dO2bTHh8fr8qVKzt0KgwAANzeilQICgkJ0a5du5Sammpti46Olpubm4KDg3Pt17hxY5UtW1ZbtmyxtmVkZOiLL75QSEiIS2sGAADFU5EaGB0eHq6lS5cqKipKkZGROn36tCZPnqzw8HCbOYIiIiJ08uRJbd26VZJUsmRJRUZGatasWfL19VVAQICWL1+uCxcuaMCAAYX1dAAAQBFWpEKQj4+PlixZonHjxikqKkpeXl7q2rWrhg8fbrOe2WxWVlaWTdugQYNksVi0aNEiJScnq3bt2lq4cKGqVat2K58CAAAoJkwWi8VS2EUAAADcakVqTBAAAMCtQggCAACGRAgCAACGRAgCAACGRAgCAACGRAgCAACGRAiCYcXFxenZZ59Vw4YNFRwcrMmTJys9Pb2wywLgRCdOnNCYMWPUqVMn1alTR+3bty/sklCEFKnJEoFbJSUlRREREapZs6ZmzZql06dPa9KkSbp69arGjBlT2OUBcJKjR49q586datCggcxms5gaD39HCIIhrVixQpcuXdLs2bNVrlw5SVJWVpbGjh2ryMhIm9u0ACi+WrVqpTZt2kiSRo4cqV9++aWQK0JRwukwGFJMTIyCgoKsAUiSwsLCZDabFRsbW3iFAXAqNze+5pA7fjtgSPHx8fL397dp8/b2lp+fn+Lj4wupKgDArUQIgiGlpqbK29s7W7uPj49SUlIKoSIAwK1GCAIAAIZECIIheXt7Ky0tLVt7SkqKfHx8CqEiAMCtRgiCIfn7+2cb+5OWlqazZ89mGysEALg9EYJgSCEhIdq1a5dSU1OtbdHR0XJzc1NwcHAhVgYAuFWYJwiGFB4erqVLlyoqKkqRkZE6ffq0Jk+erPDwcOYIAm4jV65c0c6dOyVJiYmJunjxoqKjoyVJzZo1k6+vb2GWh0JmsjB9JgwqLi5O48aN0/79++Xl5aVOnTpp+PDh8vT0LOzSADhJQkKCWrduneOyDz/8UM2bN7/FFaEoIQQBAABDYkwQAAAwJEIQAAAwJEIQAAAwJEIQAAAwJEIQAAAwJEIQAAAwJEIQAAAwJEIQAAAwJEIQYEAJCQkKDAzUmjVrCruU20bfvn3Vt29f6+M9e/YoMDDQeouGvIwcOVKtWrVyZXk5MpvNat++vd59990C9/3f//6nbt26uaAq4NYhBAFF3JAhQ9SgQQNdvHgx13Vefvll1atXT+fPn7+FlaG427Rpk06dOqU+ffoUuG9ERISOHDmi7du3u6Ay4NYgBAFFXMeOHXX16lVt27Ytx+VXrlzRl19+qZYtW6p8+fK3uDrcsHDhQi1cuLCwyyiQhQsXql27drrjjjsK3NfPz0+tW7fWokWLXFAZcGsQgoAirlWrVvLy8tLGjRtzXL59+3ZdvnxZHTt2vMWVFZzFYtHVq1cLuwyX8PT0LFY33z106JCOHDmisLAwh7cRFhamffv26c8//3RiZcCtQwgCirhSpUrpiSee0LfffqukpKRsyzdt2iQvLy+1atVKFy5c0Ntvv60OHTqoUaNGaty4sQYOHKgjR47Yta+4uDgNHTpUzZo10wMPPKDOnTtnO90xa9YsBQYGZuu7Zs0aBQYGKiEhwdrWqlUrRUZG6uuvv1bnzp1Vv359rVixQpIUGxurnj17qmnTpmrUqJHatm2radOm5VtjYGCg3nzzTW3YsEFt27a11vndd99lW/fQoUMaOHCgGjdurEaNGikiIkIHDhywWScjI0OzZ8/WE088oQceeEDNmzdXz549FRsba13n7NmzGjVqlEJCQlSvXj21bNlSzz33nM1z/eeYoBvMZrOmTZum4OBgNWzYUEOGDNGpU6fyfZ5ms1mLFy9Wu3bt9MADD6hFixYaM2aMUlJSbNb7+eefNWDAADVv3lz169dXq1atNGrUqHy3v23bNpUoUUJNmza1tl29elWhoaEKDQ21CasXLlxQy5YtFR4erqysLGt7ixYtJIlTYii2PAq7AAD569Chg9auXastW7bYjN+4cOGCvvnmG7Vr106lSpXS0aNHtW3bNoWGhqpq1ao6d+6cVq5cqT59+uizzz5TpUqVct3H0aNH1bNnT1WqVEmDBg1SmTJltGXLFkVFRWnWrFl6/PHHHar92LFjevnll9WjRw91795d99xzj44eParIyEgFBgZq6NCh8vT01IkTJ/TDDz/Ytc3vvvtOmzdvVt++feXp6anly5dr4MCB+uSTTxQQEGB9Pr1795aXl5cGDhwoDw8PrVy5Un379tWyZcvUoEEDSdLs2bM1f/58devWTfXr19fFixf1yy+/6ODBgwoODpYkvfjii/r999/Vp08fValSRcnJyYqNjdWpU6dUtWrVPGt99913ZTKZNGjQICUlJWnJkiXq16+f1q9fr1KlSuXab8yYMVq7dq06d+6svn37KiEhQR999JEOHTqk5cuXq0SJEkpKStKAAQNUvnx5DR48WN7e3kpISNDWrVvzfQ3379+vgIAAlShRwtpWqlQpvf322+rZs6emT59uDVNvvvmm0tLSNHHiRLm7u1vXv+OOO1S9enX98MMP6tevX777BIocC4AiLzMz0xIcHGzp0aOHTfvy5cstAQEBlq+//tpisVgs165ds2RlZdms8+eff1rq1atnmT17tk1bQECAZfXq1da2iIgIS/v27S3Xrl2ztpnNZkuPHj0sTzzxhLVt5syZloCAgGw1rl692hIQEGD5888/rW2PPfaYJSAgwBITE2Oz7gcffGAJCAiwJCUlFeRlsFgsFktAQIAlICDA8vPPP1vbEhMTLQ888IAlKirK2vb8889b6tata/njjz+sbadPn7Y0atTI0rt3b2tbx44dLYMHD851fykpKZaAgADL+++/n2ddffr0sfTp08f6+Ntvv7UEBARYHn74YUtaWpq1ffPmzZaAgADLkiVLrG0jRoywPPbYY9bH3333nSUgIMCyYcMGm33ExMTYtG/dutUSEBBg+emnn/KsLSchISGWF198McdlU6dOtdx///2W7777zrJlyxZLQECAZfHixTmu279/f0tYWFiB9w8UBZwOA4oBd3d3tWvXTvv377c5BbNp0ybdeeedCgoKknR9XIqb2/WPdVZWls6fP68yZcronnvu0aFDh3Ld/oULF/Ttt98qLCxMFy9eVHJyspKTk3X+/Hm1bNlSx48f1+nTpx2qvWrVqnr44Ydt2ry9vSVdP41iNpsLvM1GjRqpXr161seVK1dW69at9c033ygrK0tZWVmKjY1VmzZtVK1aNet6FStWVPv27bVv3z7r1Xbe3t46evSojh8/nuO+SpUqpRIlSmjv3r3ZTkXZ46mnnlLZsmWtj0NDQ+Xn56edO3fm2ic6Olp33HGHgoODre9FcnKy6tatqzJlymjPnj2SZB3QvGPHDmVkZBSorgsXLljfh3964YUXdO+992rEiBEaO3asmjVrpmeeeSbHdb29vbkqEcUWp8OAYqJDhw5avHixNm3apCFDhuivv/7S999/r759+1pPUZjNZn344Yf6+OOPlZCQYDN+o1y5crlu+48//pDFYtGMGTM0Y8aMHNdJSkrK83RabnI6XfTkk0/qk08+0ejRozV16lQFBQXp8ccfV2hoqDXE5aVGjRrZ2mrWrKkrV64oOTlZ0vWr5u65555s69WqVUtms1mnTp3Sfffdp6FDh+r5559X27ZtFRAQoJYtW6pTp066//77JV0Plq+88orefvttBQcHq0GDBnr00Uf11FNPyc/Pr8C1mkwm1ahRQ4mJibn2OXHihNLS0qzh9p9ujA1r1qyZ2rZtq9mzZ2vx4sVq1qyZ2rRpow4dOtg1SNtiseTY7unpqQkTJqhr164qWbKkJkyYIJPJlOs2clsGFHWEIKCYqFevnvz9/fXZZ59pyJAh2rRpkywWizp06GBdZ968eZoxY4a6dOmif/3rX/Lx8ZGbm5smTJiQ6xeeJOvRmP79+2c7anND9erVJSnXL7y/B66/y2ncS6lSpfTRRx9pz5492rFjh77++mtt3rxZK1eu1KJFi2zGnbjagw8+qK1bt2r79u2KjY3Vp59+qiVLlmjs2LHWyQD79eunVq1aadu2bfrmm280Y8YMLViwQEuWLFGdOnWcXpPZbFaFChX0v//9L8flvr6+kq6/FzNnztSBAwf01Vdf6euvv9Zrr72mDz74QCtXrpSXl1eu+yhXrpxSU1NzXf7NN99Ikq5du6YTJ07YHFH7u9TUVKZmQLFFCAKKkQ4dOmjGjBk6cuSINm3apJo1a6p+/frW5Z9//rmaN2+uCRMm2PTL74vqxhdciRIlrFf85ObGKZTU1FSb0yknT54s0HNxc3NTUFCQgoKCNGrUKM2bN0/Tp0/Xnj178q3hxIkT2dqOHz+u0qVLWwNC6dKldezYsWzrxcfHy83NTXfffbe1rVy5curSpYu6dOmiS5cuqU+fPpo1a5bNjMjVq1dX//791b9/fx0/flxPPfWUFi1alGtQya1Wi8WiEydO5HiF3d/3tXv3bjVu3DjPwdM3NGzYUA0bNtTw4cO1ceNGvfLKK9q8eXOeMzr7+/vbnFr9uyNHjmjOnDnq3Lmzjhw5otGjR2vjxo05zieUkJBgPWoGFDeMCQKKkRtHfWbOnKnDhw/bHAWSro8d+ucRny1btuQ7nqdChQpq1qyZVq5cqTNnzmRbfuMUk/R/R4T+fkn65cuXtW7dOrufx4ULF7K11a5dW5KUnp6eb//9+/fr4MGD1senTp3S9u3bFRwcLHd3d7m7uys4OFjbt2+3+aI/d+6cNm3apCZNmljH6fxzPIuXl5eqV69urePKlSu6du2azTrVq1eXl5eXXbWuW7fOZrbv6OhonT17ViEhIbn2CQsLU1ZWlubOnZttWWZmpvUITkpKSrb3297XsWHDhjp69Gi29TIyMjRq1ChVrFhR//nPfzRx4kSdO3cuW7CWpLS0NP3xxx9q1KhRnvsCiiqOBAHFSLVq1dSoUSPrvCz/DEGPPvqo5syZo1GjRqlRo0b67bfftHHjxlxPZfzd66+/rl69eqlDhw7q3r27qlWrpnPnzunAgQP666+/tGHDBklScHCwKleurP/85z+Kj4+Xu7u7Vq9erfLly9t9NGjOnDn6/vvv9cgjj6hKlSpKSkrSxx9/rLvuuktNmjTJt39AQIAGDBhgc4m8dP1S9huGDRumXbt2qVevXurVq5fc3d21cuVKpaen69///rd1vXbt2qlZs2aqW7euypUrp59//lmff/65dSqC48ePq1+/fgoNDdW9994rd3d3bdu2TefOnVO7du3yrdXHx0e9evVS586drZfI16hRQ927d8+1T7NmzdSjRw/Nnz9fhw8fVnBwsEqUKKHjx48rOjpa//nPfxQaGqq1a9dq+fLlatOmjapXr65Lly5p1apVKlu2bJ4hS5Jat26tuXPnau/evWrZsqW1/d1339Xhw4e1ePFilS1bVvfff7+ioqL0zjvvKDQ0VI888oh13V27dslisah169b5vg5AUUQIAoqZDh06aP/+/apfv362QbdDhgzRlStXtHHjRm3evFl16tTR/PnzNXXq1Hy3e++992r16tWaPXu21q5dqwsXLsjX11d16tRRVFSUdb0SJUpo9uzZGjt2rGbMmCE/Pz9FRETI29vbrkn6pOuTKCYmJmr16tU6f/68ypcvr2bNmunFF1+06xYODz74oBo2bKg5c+bo5MmTuvfeezVx4kSb0zL33XefPvroI02dOlXz58+XxWJR/fr1NWXKFOscQdL1SQ6//PJLxcbGKj09XZUrV9awYcM0YMAASdJdd92ldu3aaffu3dqwYYPc3d3l7++vd955R23bts231iFDhujXX3/VggULdOnSJQUFBen1119X6dKl8+z35ptvql69elqxYoWmT58ud3d3ValSRR07dlTjxo0lXQ9LP//8szZv3qxz587pjjvuUP369fW///0v3+Bbr149BQYGasuWLdYQdPDgQc2fP199+vTRQw89ZF138ODB2r59u0aPHq3PPvvMeho0OjpaTZo0sR4dBIobkyWv0ZIAUMQEBgaqd+/eGjNmTGGXUuytW7dOb775pnbs2JHr5fK5OXv2rFq3bq1p06apTZs2LqoQcC3GBAGAQXXs2FGVK1fWRx99VOC+S5YsUUBAAAEIxRqnwwDAoNzc3LRp0yaH+r7yyitOrga49TgSBAAADIkxQQAAwJA4EgQAAAyJEAQAAAyJEAQAAAyJEAQAAAyJEAQAAAyJEAQAAAyJEAQAAAyJEAQAAAzp/wHIx9ipHXWZpgAAAABJRU5ErkJggg==\n" }, "metadata": {} } ] }, { "cell_type": "markdown", "source": [ "# **Visualisation de la Distribution de Binomiale**" ], "metadata": { "id": "WNoYopAxaWx-" } }, { "cell_type": "code", "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from scipy.stats import binom\n", "\n", "# Paramètres de la distribution\n", "n = 5 # Nombre d'essais\n", "p = 0.8 # Probabilité de succès\n", "\n", "# Valeurs possibles de X\n", "x = np.arange(0, n + 1)\n", "\n", "# PMF (Probabilité)\n", "probs = binom.pmf(x, n, p)\n", "\n", "# Visualisation\n", "plt.bar(x, probs, color='green', edgecolor='black')\n", "plt.title(f\"Distribution Binomiale (n={n}, p={p})\")\n", "plt.xlabel(\"Valeurs possibles (x)\")\n", "plt.ylabel(\"Probabilité P(X = x)\")\n", "plt.xticks(x)\n", "plt.grid(axis='y', alpha=0.3)\n", "plt.savefig(\"binomial_distribution.png\") # Sauvegarde de l'image\n", "plt.show()" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 480 }, "id": "kTVwq9c5JHAN", "outputId": "7cbc8390-c943-449a-c4b4-0dcce611cf4c" }, "execution_count": null, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": {} } ] }, { "cell_type": "code", "source": [ "import numpy as np\n", "\n", "# Fixer la graine (seed) pour le générateur de nombres aléatoires\n", "# Cela garantit que les résultats des simulations sont reproductibles.\n", "# La graine \"8302\" est choisie arbitrairement (Numéro de notre cours).\n", "np.random.seed(8302)\n", "\n", "# Paramètres\n", "n = 5 # Nombre d'essais (ex : nombre de tests indépendants)\n", "p = 0.8 # Probabilité de succès pour chaque essai\n", "simulations = 10 # Nombre de simulations à effectuer\n", "\n", "# Simuler une distribution Binomiale\n", "# Pour chaque simulation, le résultat est le nombre de succès obtenus.\n", "outcomes = np.random.binomial(n, p, simulations)\n", "\n", "# Afficher les résultats\n", "# Les résultats représentent le nombre de succès obtenus pour chaque simulation.\n", "print(\"Résultats des simulations Binomiales :\")\n", "print(outcomes)\n" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "1HBEYPk6iIKx", "outputId": "4c584974-021f-4b4b-f128-0ea8be772732" }, "execution_count": null, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "Résultats des simulations Binomiales :\n", "[4 3 3 3 5 4 3 4 4 3]\n" ] } ] }, { "cell_type": "markdown", "source": [ "# **Visualisation de la Distribution de Poisson**" ], "metadata": { "id": "LD-_hKzIabGV" } }, { "cell_type": "code", "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from scipy.stats import poisson\n", "\n", "# Paramètre de la distribution\n", "lambda_param = 4 # Taux moyen d'occurrence\n", "\n", "# Valeurs possibles de X\n", "x = np.arange(0, 15)\n", "\n", "# PMF (Probabilités)\n", "probs = poisson.pmf(x, lambda_param)\n", "\n", "# Visualisation\n", "plt.bar(x, probs, color='green', edgecolor='black')\n", "plt.title(f\"Distribution de Poisson (λ={lambda_param})\")\n", "plt.xlabel(\"Valeurs possibles (x)\")\n", "plt.ylabel(\"Probabilité P(X = x)\")\n", "plt.xticks(x)\n", "plt.grid(axis='y', alpha=0.3)\n", "plt.show()" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 480 }, "id": "N6c4n8YWntNa", "outputId": "eeee5061-6fda-496a-e17d-bdad08e68516" }, "execution_count": null, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": {} } ] }, { "cell_type": "code", "source": [ "import numpy as np\n", "\n", "# Fixer la graine (seed) pour le générateur de nombres aléatoires\n", "np.random.seed(8302)\n", "\n", "# Paramètres\n", "lambda_param = 4 # Taux moyen d'événements\n", "simulations = 10 # Nombre de simulations\n", "\n", "# Simuler une distribution de Poisson\n", "outcomes = np.random.poisson(lambda_param, simulations)\n", "\n", "# Afficher les résultats\n", "print(\"Résultats des simulations Poisson :\")\n", "print(outcomes)" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "hY0TC6TBBpI9", "outputId": "13eafe1e-76de-4091-9dad-fc11f7254d04" }, "execution_count": null, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "Résultats des simulations Poisson :\n", "[7 5 6 6 3 1 5 4 7 2]\n" ] } ] }, { "cell_type": "markdown", "source": [ "# **Visualisation et Simulation de la Distribution de Catégorique**" ], "metadata": { "id": "pPuyIBCcaiyY" } }, { "cell_type": "code", "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "# Paramètres\n", "categories = ['A', 'B', 'C', 'D'] # Catégories\n", "probabilities = [0.1, 0.4, 0.3, 0.2] # Probabilités associées\n", "\n", "# Visualisation\n", "plt.bar(categories, probabilities, color='green', edgecolor='black')\n", "plt.title(\"Distribution Catégorique\")\n", "plt.xlabel(\"Valeurs possibles (Catégories)\")\n", "plt.ylabel(\"Probabilité P(X = x)\")\n", "plt.grid(axis='y', alpha=0.3)\n", "plt.show()" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 481 }, "id": "JXyb6HhpAlbi", "outputId": "50f0a8d7-783b-4cef-dd21-ec095252cd92" }, "execution_count": null, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": {} } ] }, { "cell_type": "code", "source": [ "import numpy as np\n", "\n", "# Fixer la graine (seed) pour le générateur de nombres aléatoires\n", "np.random.seed(8302)\n", "\n", "# Paramètres\n", "categories = ['A', 'B', 'C', 'D'] # Catégories\n", "probabilities = [0.1, 0.4, 0.3, 0.2] # Probabilités associées\n", "simulations = 10 # Nombre de simulations\n", "\n", "# Simuler des tirages selon la distribution catégorique\n", "outcomes = np.random.choice(categories, size=simulations, p=probabilities)\n", "\n", "# Afficher les résultats\n", "print(\"Résultats des simulations catégoriques :\")\n", "print(outcomes)" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "uyYMjfpWBYmd", "outputId": "b49cce41-80f3-4ef4-e57f-cb867e0b79a2" }, "execution_count": null, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "Résultats des simulations catégoriques :\n", "['C' 'C' 'D' 'C' 'B' 'B' 'C' 'C' 'C' 'D']\n" ] } ] }, { "cell_type": "markdown", "source": [ "# **Visualisation de la Distribution de Multinomiale**" ], "metadata": { "id": "bG9i_AOcau9G" } }, { "cell_type": "code", "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "# Fixer la graine (seed) pour la reproductibilité\n", "np.random.seed(8302)\n", "\n", "# Paramètres\n", "n = 10 # Nombre total d'essais (Nombre de simulations)\n", "probabilities = [0.1, 0.4, 0.3, 0.2] # Probabilités des catégories\n", "categories = ['A', 'B', 'C', 'D'] # Noms des catégories\n", "\n", "# Simuler une distribution multinomiale\n", "outcomes = np.random.multinomial(n, probabilities, size=1)[0]\n", "\n", "# Affichage des résultats\n", "print(\"Résultats des simulations multinomiales :\")\n", "print(outcomes)\n", "\n", "# Visualisation\n", "plt.bar(categories, outcomes, color='green', edgecolor='black')\n", "plt.title(f\"Simulation Multinomiale (n={n})\")\n", "plt.xlabel(\"Catégories\")\n", "plt.ylabel(\"Nombre d'observations\")\n", "plt.grid(axis='y', alpha=0.3)\n", "plt.show()" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 517 }, "id": "UCgHgPBoCnnt", "outputId": "f4e303aa-5457-45e3-8eb7-088d38600c89" }, "execution_count": null, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "Résultats des simulations multinomiales :\n", "[1 5 1 3]\n" ] }, { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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xY4aSkpLk5+enL7/80qnQWq1aNb388suaNWuWzp49q6ioKJUuXVpnzpxRXFycnnrqKQ0ePDjP94eEhCgsLEzff/+9w6D2/DA6RiYlJcX++JD9+/dLuvEYDn9/fwUEBKhfv372ZceNG6dhw4bp2WefVefOnXX06FHFxMToySefzHHp/XfffSebzcadfe9yBBmYzrhx4xQbG6udO3dq7dq1ysjIUJUqVfT0009r2LBht72Xhiu89tpryszM1Jo1a+Tj46MOHTpo3Lhxd7zte2hoqGbPnq333ntPM2bMULly5dSnTx8FBgZq0qRJDssOHz5ciYmJWrhwoa5evarIyMhcg4x04yqdkiVLasGCBZo5c6ZKlSqlqKgojR07ttC3hTPKli2ruXPnavr06fr3v/+t4OBgvfLKKzp16tQdg0z58uU1ZcoUffTRR3r11VeVlZWl5cuXF/h+Ne7aZt7e3vrwww81bdo0ffTRRypRooTatWunvn373vFSe0l64YUXVKNGDS1dulTz5s2TJFWqVEnNmzfP9aaDt3riiSf0/vvvKy0tLdeBs4Xl8uXLev/99x2mLV68WNKNXs6bg0zr1q01d+5czZ07V1OnTlVgYKCGDBmSa09ZbGysHnroIVWrVq1wPwCKNIvN6Ag4AICppKSkKCoqSmPGjDH9k6PPnz+vtm3b6t1333U4zYu7D48oAIC7hL+/vwYPHqxFixb9LVfJFaZly5YpLCyMEAN6ZAAAgHnRIwMAAEyLIAMAAEyLIAMAAEyLIAMAAEyLIAMAAEzrrrghns1mk9XKxVm38vCwsF2KIfZr8cW+LZ7Yr7nz8LA49by1uyLIWK02Xbx41d1lFCleXh4qW7a0kpOvKTPT3PeTwP9hvxZf7Nviif2at8DA0vL0vHOQ4dQSAAAwLYIMAAAwLYIMAAAwLYIMAAAwLYIMAAAwLYIMAAAwLYIMAAAwLYIMAAAwLYIMAAAwLYIMAAAwrSIVZDZs2KDw8PAc/82cOdPdpQEAgCKoSD5raeHChfL397e/rlixohurAQAARVWRDDJ169ZVYGCgu8sAAABFXJE6tQQAAJAfRTLIdOnSRXXq1FHbtm310UcfKSsry90lAQCAIqhInVoqX768Ro4cqQceeEAWi0Xbt2/Xe++9p6SkJL3xxhsFatticVGRxRDbJqczZxJ04cIFd5eRb56eHgoI8FVycqqysqzuLseQoKAgBQeHuLuMIo1jtnhivxpjsdlsNncXcTszZszQsmXLtGPHDlWoUMFQG1arVSkpaS6uzNw8PT3k51dSV66kmfYXXmFJSEhQo8gHdD31urtLuSuV8C2hn/b+opAQwszNOGaLJ/Zr3vz9S8rD484njopUj0xuOnbsqMWLF+vQoUOGg4zNJmVkcHrqZlbrjfyakZHFwXOLpKRzN0JMD0nl3F3NXeZP6fqG60pKOqdKlaq4u5oihWO2eGK/5s3ZbpYiH2RcpWj3O7kX2yYP5STxu9Rt+F7mjW1TPLFfjSmSg31vtmXLFnl6eur+++93dykAAKCIKVI9MoMHD1aTJk0UHh4uSdq2bZvWrVunAQMGqHz58m6uDgAAFDVFKsjUrFlT69ev1x9//CGr1aoaNWpo0qRJ6t+/v7tLAwAARVCRCjKvvfaau0sAAAAmUuTHyAAAAOSFIAMAAEyLIAMAAEyLIAMAAEyLIAMAAEyLIAMAAEyLIAMAAEyLIAMAAEyLIAMAAEyLIAMAAEyLIAMAAEyLIAMAAEyLIAMAAEyLIAMAAEyLIAMAAEyLIAMAAEyLIAMAAEyLIAMAAEyLIAMAAEyLIAMAAEyLIAMAAEyLIAMAAEyLIAMAAEyLIAMAAEyLIAMAAEyLIAMAAEyLIAMAAEyLIAMAAEyLIAMAAEyLIAMAAEyLIAMAAEyLIAMAAEyLIAMAAEyLIAMAAEyLIAMAAEyLIAMAAEyLIAMAAEyLIAMAAEyLIAMAAEyLIAMAAEyLIAMAAEyLIAMAAEyLIAMAAEyLIAMAAEyLIAMAAEyLIAMAAEyLIAMAAEyLIAMAAEyLIAMAAEyLIAMAAEyLIAMAAEyLIAMAAEyLIAMAAEyLIAMAAEyLIAMAAEyLIAMAAEyLIAMAAEyryAaZq1evqmXLlgoPD9d//vMfd5cDAACKoCIbZD744ANlZWW5uwwAAFCEFckgc/z4ca1atUojR450dykAAKAIK5JBZtq0aerdu7dq1qzp7lIAAEARVuSCTGxsrI4eParhw4e7uxQAAFDEebm7gJulpqZq+vTpGj16tPz8/FzatsXi0uaKFbYNiiK+l3lj2xRP7FdjilSQmT9/voKCgvTEE0+4tF2LRfL29nRpm2bn6XmjM87b21MeHhw9N/PyKnIdlXcdLy8PjtlbcMwWT+zXvDkb7IpMkDl79qwWL16sefPmKSUlRZJ07do1+/+vXr2q0qVLG2rbZpMyMrgC6mZWq03Sje2SlWV1czVFS2Ym28PdMjOtHLO34JgtntivebPZnFvOUJC5cuWKUlJSVLlyZfu0pKQkrVmzRunp6XrssccUERGRrzbPnDmjjIwMvfDCCznmDRgwQA888IDWrVtnpFxJzm+QuxHbBkUR38u8sW2KJ/arMYaCzBtvvKEzZ87Yg8WVK1fUq1cv/fHHH/Lw8NDy5cu1cOFCNWnSxOk269Spo+XLlztMO3TokN5++21NmTJF9evXN1IqAAAoxgwFmX379qlXr17215999pnOnTunNWvWqFatWho4cKDmz5+fryATEBCQ5/J169ZV3bp1jZQKAACKMUOjGv/66y9VrFjR/nr79u166KGH1KBBA/n5+al79+46fPiwy4oEAADIjaEgExAQoD///FOSlJaWpn379ql58+b2+Z6enkpLSytwcU2aNNGRI0c4rQQAAHJl6NRSw4YNtWrVKoWGhurbb7/V9evX1bZtW/v833//3aHHBgAAoDAY6pEZM2aMvLy8NHLkSK1bt04DBw7UfffdJ0nKyspSbGysGjdu7NJCAQAAbmWoR6Z69eqKjY3V8ePH5efnp+DgYPu81NRUvf7666pdu7bLigQAAMiN4RvieXt75xpW/Pz8FBUVVaCiAAAAnFGgO/vGx8crISFBly9fznV+9+7dC9I8AADAbRkKMqdPn9bYsWN18OBB2fK4FaHFYiHIAACAQmX4zr5Hjx7VpEmT1KhRIwUEBLi6LgAAgDsyFGT279+vIUOGqH///q6uBwAAwGmGLr8uW7as/P39XV0LAABAvhgKMr1799bnn3+urKwsV9cDAADgNEOnlmrUqCGr1apu3brpiSeeUKVKleTp6Zljufbt2xe4QAAAgLwYCjKjR4+2/3vGjBm5LmOxWHTo0CFjVQEAADjBUJBZvny5q+sAAADIN0NBJjIy0tV1AAAA5FuB7uwr3bi779mzZyVJVatWVa1atQpcFAAAgDMMB5m4uDhNnz7dHmKyBQcHa8KECWrbtm2BiwMAALgdQ0Fm586deumll1SlShWNHj1a9957ryTp+PHjWrdunUaOHKkPP/xQLVu2dGmxAAAANzMUZD744AOFh4crJiZGpUqVsk9v27at+vXrp6efflrz5s0jyAAAgEJl6IZ4R44cUffu3R1CTLZSpUopOjpaR44cKXBxAAAAt2MoyJQoUUKXL1/Oc/7ly5dVokQJw0UBAAA4w1CQadKkiZYvX64DBw7kmPfLL79oxYoVatq0aYGLAwAAuB1DY2TGjh2r3r176+mnn1ZERIRq1qwpSTp58qQOHjyooKAgjRkzxqWFAgAA3MpQj0xISIg+//xz9e/fX5cvX9aWLVu0ZcsWXb58WQMGDNBnn32m4OBgV9cKAADgwPB9ZIKCgjRp0iRNmjTJlfUAAAA4zVCPDAAAQFHgVI/MxIkTZbFYNHXqVHl6emrixIl3fI/FYtFbb71V4AIBAADy4lSQ2bNnjywWi6xWqzw9PbVnz547vsdisRS4OAAAgNtxKshs3779tq8BAADcwdAYmcTERKWlpeU5Py0tTYmJiYaLAgAAcIahINO2bVtt3bo1z/nbt2/n6dcAAKDQGQoyNpvttvMzMjLk4cEFUQAAoHA5fR+ZK1euKDk52f760qVLuZ4+Sk5O1pYtW1S+fHnXVAgAAJAHp4PM0qVLNW/ePEn/d2l1XpdX22w2vfzyyy4pEAAAIC9OB5nmzZurVKlSstls+ve//63OnTurbt26DstYLBb5+vqqbt26ql+/vsuLBQAAuJnTQaZhw4Zq2LChJCk1NVXt27dXWFhYoRUGAABwJ4aetTRixAhX1wEAAJBvhh8aKUn79u3Tb7/9ppSUFFmtVod5FotFw4cPL1BxAAAAt2MoyFy6dElDhgzRwYMHZbPZZLFY7JdkZ/+bIAMAAAqboZu9vPPOOzpy5IhmzZqluLg42Ww2LVq0SF9++aV69+6tOnXq6Ntvv3V1rQAAAA4MBZlvvvlGvXr1UqdOnVS6dOkbDXl4qHr16po8ebKqVq3Kk68BAEChMxRkkpOTVatWLUmyB5mrV6/a5zdv3ly7du1yQXkAAAB5MxRkKlSooD///FOS5OPjo6CgIB0+fNg+PykpSRaLxTUVAgAA5MHQYN/GjRvru+++07BhwyRJHTt21KJFi+Tp6Smr1aply5bpkUcecWmhAAAAtzIUZAYOHKjvvvtO6enp8vHx0ciRIxUfH6/3339f0o2g89prr7m0UAAAgFsZCjLh4eEKDw+3v77nnnu0dOlSJScny8PDQ35+fi4rEAAAIC+GxsjEx8fnOj0gIIAQAwAA/jaGgkyXLl3UtWtXffjhhzp16pSrawIAAHCKoSDzz3/+U4GBgZo9e7Y6dOigHj16aOHChTp79qyr6wMAAMiToSDTu3dvLVu2TN98841effVV+fr6atasWYqKilKvXr20bNkyJSUlubpWAAAAB4aCTLZy5cqpX79+iomJ0Y4dOzR+/HhZLBbNmDFDbdq0cVWNAAAAuSpQkLlZ+fLldd999yk0NFQlS5bM8TRsAAAAVzN0+XU2m82mPXv2aMuWLYqLi9Nff/2lgIAAde7cWZ06dXJVjQAAALkyFGR++uknffHFF/ryyy914cIF+fn5KSoqSh07dlSzZs3k5VWgfAQAAOAUQ4mjX79+KlWqlFq3bq1OnTrpkUcekY+Pj6trAwAAuC1DQeb9999Xq1atVKJECVfXAwAA4LR8D/ZNTU3VG2+8oZUrVxZGPQAAAE7Ld5Dx9fWVp6enSpYsWRj1AAAAOM3Q5dft27fXl19+KZvN5up6AAAAnGZojEznzp01ZcoUDRgwQE8++aSqVq2aaw9N3bp189Xuzp07tWDBAsXHx+vKlSuqWLGioqKiNGLECPn7+xspFQAAFGOGgkz//v3t//7pp59yzLfZbLJYLDp06FC+2r106ZIiIiLUv39/lSlTRseOHdOcOXN07NgxLV682EipAACgGDMUZN5++21X1yFJ6tatm8PrJk2ayMfHR6+//rqSkpJUsWLFQlkvAAAwJ0NBJjo62tV15KlMmTKSpIyMjL9tnQAAwBwKfAvec+fO6eLFi6pWrZpKlSrlipqUlZWlzMxMxcfHa968eWrTpo2Cg4Nd0jYAACg+DAeZuLg4zZw5U6dOnZIkLV68WE2bNtXFixf17LPPavjw4WrXrp2htlu3bq2kpCRJ0iOPPKJZs2YZLdPOYilwE8UW2wZFEd/LvLFtcjpzJkEXLlxwdxn55unpoYAAXyUnpyory5wPWw4KClJwcIjb1m8oyGzfvl0jR45UgwYN1KVLF82dO9c+LzAwUBUrVtSGDRsMB5mPP/5Yqampio+P1/z58zV06FAtWbJEnp6ehtqzWCRvb2PvLa48PW9cee/t7SkPD34q3szLy2UPhYdBXl4eHLO34JjNW0JCgh5u9qCup153dyl3pRK+JfTT3l8UEuLaMONsYDcUZObNm6dGjRppxYoV+uuvvxyCjCQ1aNBAa9euNdK0JKl27dqSpIYNG6p+/frq1q2btm7dqg4dOhhqz2aTMjKyDNdTHFmtN+4BlJGRZdq/AgpLZibbw90yM60cs7fgmM1bUtK5GyGmh6Ry7q7mLvOndH3DdSUlnVOlSlVc2rSzt6ozFGSOHTumCRMm5Dm/XLlyLuviCw8Pl7e3t06fPl2gdrh3X97YNiiK+F7mjW2Th3KSXPu7FPngru+loT50X19fpaam5jk/ISHBfrVRQf3yyy/KyMhgsC8AAMjBUI9MkyZNtHHjRj3zzDM55p0/f17r1q1T69at893uiBEjVK9ePYWHh6tkyZI6fPiwFi1apPDwcEVFRRkpFQAAFGOGgszLL7+sXr16qWfPnurQoYMsFot27dqlH374QWvXrpXNZtPw4cPz3W5ERIS2bNmijz/+WDabTVWrVtWTTz6pwYMHy8fHx0ipAACgGDMUZEJDQ7Vq1Sq9+eabev/992Wz2bRo0SJJUmRkpCZPnmzoVNALL7ygF154wUhJAADgLmT4PjL33Xefli5dqsuXL+vUqVOy2WwKCQlRYGCgK+sDAADIU4Hv7HvPPfcoIiLCFbUAAADki6Grlr7//nstXLjQYdqnn36qVq1aqVmzZnrrrbeUlcU9IAAAQOEyFGTmzJmjw4cP218fOXJEkydPVmBgoCIjI7VixQr7mBkAAIDCYijIHD9+XPXq1bO//uyzz+Tn56eYmBi99957evLJJ/XZZ5+5rEgAAIDcGAoyqamp8vPzs7/+9ttv1aJFC/n6+kqS6tevr8TERNdUCAAAkAdDQaZy5cr6z3/+I0k6deqUjh07phYtWtjnX758mfu+AACAQmfoqqWuXbtq3rx5SkpKUnx8vO655x61bdvWPv/XX39VjRo1XFUjAABArgwFmaFDhyojI0M7d+5U5cqVNX36dAUEBEiSLl26pL1792rAgAEuLRQAAOBWhoKMl5eXRo8erdGjR+eYV6ZMGe3evbvAhQEAANxJgW+Id+HCBZ09e1aSVLVqVQUFBRW4KAAAAGcYDjLff/+9/v3vf+vQoUMO0+vUqaMxY8aoWbNmBS4OAADgdgwFma1bt2rUqFEKCgrSc889Zx/Ye/LkSX322Wd6/vnn9d5776ldu3aurBUAAMCBoSDz3nvv6b777lNMTIzD/WSkGwOB+/TpQ5ABAACFztB9ZBISEtSjR48cIUaS/Pz81LNnT505c6bAxQEAANyOoSATGhqqixcv5jn/woUL3EcGAAAUOkNBZuzYsVqzZo3i4uJyzNu6davWrl2r8ePHF7g4AACA23FqjMzQoUNzTCtbtqxGjhypChUqqFq1apKk06dP69y5c6pRo4ZWrFjBlUsAAKBQORVkjh49muv0ypUrS5L9PjKenp6qXLmyrl+/nud7AAAAXMWpILN9+/bCrgMAACDfDI2RAQAAKAoK9IiCvXv3aseOHUpMTJQkValSRa1atVJkZKRLigMAALgdQ0EmPT1d//jHPxQXFyebzWZ/8nVycrKWLFmidu3aadasWfL29nZpsQAAADczdGpp3rx52rp1qwYNGqRdu3Zp79692rt3r3bv3q1nn31WX331lebNm+fqWgEAABwYCjKbNm1SdHS0xo0bp3LlytmnBwUFaezYserevbs+//xzlxUJAACQG0NB5vz584qIiMhzfkREhM6fP2+4KAAAAGcYCjKVKlXS3r1785z/448/qlKlSoaLAgAAcIahINO9e3d98cUXeuONN3TixAllZWXJarXqxIkTmjx5smJjYxUdHe3qWgEAABwYumpp6NChSkhI0Lp16/TJJ5/Iw+NGHrJarbLZbIqOjs71sQYAAACuZCjIeHp6avr06Ro4cKC++eYb+yMKqlatqpYtW6p27douLRIAACA3BbohXu3atQktAADAbXhEAQAAMC2ne2TatGkji8XiMG3btm0uLwgAAMBZTgeZ6OjoHEEGAADAnZwOMiNHjizMOgAAAPKNMTIAAMC0nOqR2bhxo6HGu3fvbuh9AAAAznAqyEyYMCHHtOzxMjabLdfpEkEGAAAULqeCzK1XJ6WkpGj8+PHy9/dXv379VLNmTUnSiRMntHLlSl29elXTp093fbUAAAA3cSrIVK1a1eH1xIkTFRgYqMWLFzv0wISHh+uxxx7Ts88+q2XLluntt992bbUAAAA3MTTYNy4uTlFRUbleju3h4aF27dpxjxkAAFDoDAUZm82mkydP5jn/+PHjOcbOAAAAuJqhIBMVFaXVq1dryZIlSk1NtU9PTU3V4sWLtXbtWrVt29ZlRQIAAOTG0EMjX331VZ05c0YzZszQrFmzVKFCBUnSuXPnlJmZqQcffFCTJk1yaaEAAAC3MhRk/P39tXLlSsXFxembb75RYmKiJKlFixZ69NFHc30uEwAAgKsZCjLZoqKiFBUV5apaAAAA8oVHFAAAANMiyAAAANMiyAAAANMiyAAAANMiyAAAANMqcJA5d+6cDh8+rGvXrrmiHgAAAKcZDjJxcXHq0KGDHn30UUVHR+uXX36RJF28eFHdu3dXXFycy4oEAADIjaEgs337do0cOVJly5bV8OHDHZ6rFBgYqIoVK2r9+vUuKxIAACA3hoLMvHnz1KhRI61evVp9+/bNMb9BgwY6dOhQgYsDAAC4HUNB5tixY+rYsWOe88uVK6cLFy4YLgoAAMAZhoKMr6+vw1Ovb5WQkKAyZcoYrQkAAMAphoJMkyZNtHHjRmVmZuaYd/78ea1bt04tWrTId7tffPGFhg0bppYtW6pBgwbq1q2bPv30U4cxOAAAANkMPTRy1KhR6t27t3r27KkOHTrIYrFo165d+uGHH7R27VrZbDYNHz483+0uXbpUVatW1YQJE1S2bFl99913ev311/XHH39oxIgRRkoFAADFmKEgc++992r16tWaNm2a3n//fdlsNi1atEiSFBkZqcmTJys4ODjf7c6fP1+BgYH2102bNtWlS5e0ZMkSvfjii/Lw4P59AADg/+Q7yGRkZOj48eMqU6aMli5dqsuXL+vUqVOy2WwKCQlxCCL5ldt769Spo3Xr1unatWvy8/Mz3DYAACh+8t3F4eHhoSeeeEJfffWVJOmee+5RRESEHnjggQKFmLzs27dPFStWJMQAAIAc8t0j4+npqSpVqig9Pb0w6nHw008/acuWLRo/fnyB27JYXFBQMcW2QVHE9zJvbBsURe76XhoaI9OvXz/FxMSoZ8+ehXaZ9R9//KHRo0erSZMmGjBgQIHaslgkb29PF1VWPHh63uiM8/b2lIcHPxVv5uXFWCx38/Ly4Ji9Bcds3jhm3a8wjllng5GhIGO1WuXj46N27drpscceU9WqVVWyZMlbCrBo4MCBRppXcnKynn/+eZUpU0Zz5swp8CBfm03KyMgqUBvFjdV645L2jIwsZWVZ3VxN0ZKZyfZwt8xMK8fsLThm88Yx636Fccw6e+cVQ0FmxowZ9n9/+umnuS5jNMikpaVpyJAhSklJ0dq1a+Xv72+kxBy4FU3e2DYoivhe5o1tg6LIXd9LQ0Fm27Ztrq5DkpSZmamXX35ZJ06cUExMjCpWrFgo6wEAAMWDoSBTtWpVV9chSZoyZYq+/vprTZgwQVeuXNHPP/9sn3f//ffLx8enUNYLAADMyVCQyXbp0iV99913Onv2rKQbAadp06YqW7asofZ2794tSZo+fXqOedu2bTN0kz0AAFB8GQ4yc+bM0YIFC3Jchu3t7a3nnntOo0aNyneb27dvN1oOAAC4CxkKMvPmzdO8efPUqlUr9e3bVzVq1JAknTx5UjExMfrwww/l5eVl6HlLAAAAzjIUZNasWaPWrVtr/vz5DtNDQkLUsmVLDR06VKtXrybIAACAQmXoBi1XrlzRI488kuf8li1b6urVq4aLAgAAcIahIPPggw/q4MGDec4/ePCgHnzwQcNFAQAAOMNQkPnnP/+pAwcO6K233tKpU6dktVpltVp16tQpvfnmm/r55581ZcoUV9cKAADgwKkxMg0bNpTlloceZGVlacWKFVqxYoX9EQJW643bRPv4+Khbt27at2+fi8sFAAD4P04FmcceeyxHkAEAAHA3p4JMbjeoAwAAcDeefQ4AAEyrQI8o+PHHH5WQkKDk5GTZbnnspdGnXwMAADjLUJA5dOiQXn75ZZ0+fTpHgMlGkAEAAIXNUJB59dVXdfHiRU2ZMkURERHy9/d3dV0AAAB3ZCjIxMfH66WXXtJTTz3l6noAAACcZmiwb/Xq1bkcGwAAuJ2hIDNy5EjFxMQoKSnJ1fUAAAA4zdCppfbt2+v69evq0KGDHn74YVWqVEmenp45lnvttdcKXCAAAEBeDAWZvXv36p///KdSU1P19ddf57qMxWIhyAAAgEJlKMhMnTpVfn5+mj17th544AH5+fm5ui4AAIA7MjRG5vTp0xo8eLCaN29OiAEAAG5jKMjUqlVLKSkprq4FAAAgXwwFmfHjx2vt2rU6ePCgq+sBAABwmqExMosXL1bp0qXVq1cv1apVS5UrV5aHh2Mmslgsmj9/vkuKBAAAyI2hIHP06FFJUuXKlXX16lXFx8fnWIYb5gEAgMJmKMhs377d1XUAAADkm6ExMgAAAEWBoR6ZbHv37tWOHTuUmJgoSapSpYpatWqlyMhIlxQHAABwO4aCTHp6uv7xj38oLi5ONptNAQEBkqTk5GQtWbJE7dq106xZs+Tt7e3SYgEAAG5m6NTSvHnztHXrVg0aNEi7du3S3r17tXfvXu3evVvPPvusvvrqK82bN8/VtQIAADgwFGQ2bdqk6OhojRs3TuXKlbNPDwoK0tixY9W9e3d9/vnnLisSAAAgN4aCzPnz5xUREZHn/IiICJ0/f95wUQAAAM4wFGQqVaqkvXv35jn/xx9/VKVKlQwXBQAA4AxDQaZ79+764osv9MYbb+jEiRPKysqS1WrViRMnNHnyZMXGxio6OtrVtQIAADgwdNXS0KFDlZCQoHXr1umTTz6xP57AarXKZrMpOjpaQ4cOdWmhAAAAtzIUZDw9PTV9+nQNHDhQ33zzjc6ePStJqlq1qlq2bKnatWu7tEgAAIDcFOiGeLVr1ya0AAAAt+ERBQAAwLSc7pHp2rVrvhq2WCzcSwYAABQqp4NMmTJlnFruzz//1MmTJ2WxWIzWBAAA4BSng8yKFStuO//8+fNasGCB1q5dK09PTz3++OMFLg4AAOB2CjTYV7rRA/Pxxx9r3bp1yszMVNeuXTVs2DBVq1bNFfUBAADkyXCQye6BuTnAvPjiiwoJCXFlfQAAAHnKd5A5f/68Pv74Y33yySfKzMzU448/rmHDhhFgAADA387pIHPu3Dl7gMnKylK3bt00dOhQAgwAAHAbp4NMu3btlJ6erjp16mjIkCEKDg5WcnKyfv311zzfU7duXZcUCQAAkBung8z169clSb/99ptefvnl2y5rs9lksVh06NChAhUHAABwO04Hmbfffrsw6wAAAMg3p4NMdHR0YdYBAACQbzxrCQAAmBZBBgAAmBZBBgAAmBZBBgAAmBZBBgAAmBZBBgAAmBZBBgAAmBZBBgAAmBZBBgAAmBZBBgAAmBZBBgAAmJbTz1r6O5w6dUqLFi3SL7/8omPHjik0NFSbN292d1kAAKCIKlJB5tixY9q5c6ceeOABWa1W2Ww2d5cEAACKsCJ1aqlNmzbauXOnZs+erbp167q7HAAAUMQVqSDj4VGkygEAAEVckTq1VJgsFte3eeZMgi5cuOD6hv8Gnp4eCgjwVXJyqrKyrO4uJ9+CgoIUHBzi7jJQiDhmHXHMoqgrjGPWGXdFkLFYJG9vT5e2mZCQoIebPajrqddd2i6cU8K3hH7a+4tCQlz/g9HLi55Bd/Py8uCYLWY4Zou3wjhmnQ1Gd0WQsdmkjIwsl7aZlHTuxg/EHpLKubRp3Mmf0vUN15WUdE6VKlVxefOZmeb7a7e4ycy0cswWJxyzxV5hHLPOXu9zVwQZyfkNkm/lJLn+uISTuLCt+OKYLZ44Zosvd+1b+uMAAIBpEWQAAIBpFalTS6mpqdq5c6ck6ezZs7py5YpiY2MlSZGRkQoMDHRneQAAoIgpUkHmwoULGjVqlMO07NfLly9XkyZN3FEWAAAooopUkAkODtaRI0fcXQYAADAJxsgAAADTIsgAAADTIsgAAADTIsgAAADTIsgAAADTIsgAAADTIsgAAADTIsgAAADTIsgAAADTIsgAAADTIsgAAADTIsgAAADTIsgAAADTIsgAAADTIsgAAADTIsgAAADTIsgAAADTIsgAAADTIsgAAADTIsgAAADTIsgAAADTIsgAAADTIsgAAADTIsgAAADTIsgAAADTIsgAAADTIsgAAADTIsgAAADTIsgAAADTIsgAAADTIsgAAADTIsgAAADTIsgAAADTIsgAAADTIsgAAADTIsgAAADTIsgAAADTIsgAAADTIsgAAADTIsgAAADTIsgAAADTIsgAAADTIsgAAADTIsgAAADTIsgAAADTIsgAAADTIsgAAADTIsgAAADTIsgAAADTIsgAAADTIsgAAADTIsgAAADTIsgAAADTIsgAAADTIsgAAADTIsgAAADTIsgAAADTKnJB5vjx4xo0aJAaNGig5s2b65133lF6erq7ywIAAEWQl7sLuNnly5f1zDPPqEaNGpozZ46SkpI0ffp0paWl6Y033nB3eQAAoIgpUkFmzZo1unr1qubOnasyZcpIkrKysjRlyhQNGTJEFStWdG+BAACgSClSp5a++eYbNW3a1B5iJKljx46yWq3avXu3+woDAABFUpEKMidOnFBoaKjDtICAAJUvX14nTpxwU1UAAKCoKlKnlpKTkxUQEJBj+j333KPLly8bbtfDw6LAwNIFKS2HZs0a6fjx41JpFbE4eBewShovVa5cWT4+JVzePPvWjQpx37Jf3YhjtvgqxH3r4WFxarkiFWQKi8VikaencxvEWb6+vjl6j1A8sG+LJ/Zr8cW+vbsVqewaEBCglJSUHNMvX76se+65xw0VAQCAoqxIBZnQ0NAcY2FSUlJ0/vx50jYAAMihSAWZli1b6rvvvlNycrJ9WmxsrDw8PNS8eXM3VgYAAIoii81ms7m7iGyXL19W586dVbNmTQ0ZMsR+Q7yuXbtyQzwAAJBDkQoy0o1HFEydOlUHDhxQ6dKl1a1bN40ePVo+Pj7uLg0AABQxRS7IAAAAOKtIjZEBAADID4IMAAAwLYIMAAAwLYIMAAAwLYIMAAAwLYIMAAAwrbvioZFw9Pjjj+vIkSOKiYlRo0aN3F0OCmjOnDmaO3eu/bWPj4+Cg4PVo0cPDR48WB4e/L1idtu2bVNMTIz+93//V9euXVOFChXUokULDRo0SDVr1nR3ecinm49Zi8Wi0qVLq0qVKmrcuLH69u2re++9180VmgtB5i5z7NgxHTlyRJK0adMmgkwxUbJkSS1btkySlJaWpj179mjWrFmy2Wx64YUX3FwdCmLmzJlasGCBHnvsMU2dOlWBgYE6ffq01q9fr9GjR2vjxo3uLhEG3HzMXr16VUePHtXatWu1bt06vfnmm+rWrZubKzQPgsxdZtOmTfLw8FDjxo0VGxur1157Td7e3u4uCwXk4eGhBg0a2F8//PDDOnr0qL766iuCjInt3LlTCxYs0IsvvqhRo0bZpzdu3FhPPPGEvv76azdWh4K49Zht3ry5nn76ab3wwgt69dVX9eCDDyokJMR9BZoIfc53EZvNps2bN+vhhx/WoEGDdOnSJX377bfuLguFpHTp0srMzHR3GSiAxYsXq1y5cnrxxRdznd+6deu/uSIUphIlSuj1119XRkaGPvnkE3eXYxoEmbvI/v37dfbsWXXp0kUtWrRQmTJltHnzZneXBRfJzMxUZmamrly5om3btumrr77SY4895u6yYFBmZqb279+vhx9+mF7Tu0itWrVUsWJFHThwwN2lmAanlu4imzdvVokSJdS+fXt5e3vrscce0+eff66rV6+qdOnS7i4PBXDt2jXVrVvXYVqnTp04rWRily5dUnp6uqpUqeLuUvA3q1y5sv788093l2Ea9MjcJTIzMxUbG6tHH31U/v7+kqSuXbsqNTVVW7dudXN1KKiSJUvq008/1aeffqpVq1bp1Vdf1bfffqvXXnvN3aWhgCwWi7tLwN/MZrOx3/OBHpm7xO7du3Xx4kW1bt1aycnJkqSwsDCVL19emzdvVvfu3d1bIArEw8ND9evXt79+6KGHlJWVpenTp2vQoEEKCwtzY3UwokyZMipRooQSExPdXQr+Zn/88Ydq1Kjh7jJMgyBzl9i0aZMkaeLEiZo4caLDvL/++ksXLlxQUFCQO0pDIQkNDZUkxcfHE2RMyMvLSw8++KB++OEHZWZmysuLH9d3g2PHjikpKUnR0dHuLsU0OLV0F0hNTdW2bdsUFRWl5cuXO/z37rvvKjMzU1u2bHF3mXCxY8eOSZLKli3r5kpg1KBBg3T+/Hl9+OGHuc7fuXPn31wRCtP169c1depU+fj46Mknn3R3OaZBxL8LbNu2TdeuXVP//v3VpEmTHPMXLlyozZs3q3///m6oDq5gtVr1888/S5IyMjL066+/av78+apVqxY3PTSxRx99VM8995zmzJmj+Ph4de7cWWXLltWZM2e0fv16paSk6NFHH3V3mTDg5mP22rVr9hviJSQkaPr06QoODnZvgSZCkLkLbN68WVWqVMk1xEhS9+7d9dZbb+n06dOqVq3a31wdXCEtLU29evWSdOOURKVKlfT4449rxIgRXLprcmPHjlXDhg0VExOjSZMmKTU11f6IgsGDB7u7PBh08zFbqlQpBQcHq2nTppo7dy6PKMgni81ms7m7CAAAACMYIwMAAEyLIAMAAEyLIAMAAEyLIAMAAEyLIAMAAEyLIAMAAEyLIAMAAEyLIAOgyNm4caNWrlzp7jIAmABBBkCRsm3bNk2ePFn333+/W+uYM2eOwsPD3VoDgDvjEQUA8nT69GktXLhQu3fv1rlz5+Tt7a2wsDB17NhRvXr1UsmSJZ1uKyYmRr6+vurRo0eey5w5c0avvvqqZs6cqQcffNAVHwFAMccjCgDkaseOHRo1apR8fHzUrVs3hYWFKSMjQ/v27dNXX32l6OhoTZ061en2unTporJly2rFihV5LhMXFyer1ar27du74iMUSGZmprKyslSiRAl3lwLgNuiRAZBDQkKCRo8erSpVqmjZsmWqUKGCfV7fvn116tQp7dixw+XrjYqKcnmb+XXt2jWVKlVKXl5e8vLiRyRQ1DFGBkAOCxcu1LVr1/Tmm286hJhs1atX1zPPPCNJWr9+vQYMGKCmTZuqXr166tSpk1atWuWwfJs2bXTs2DHt3btX4eHhCg8PV//+/e3zk5OT9eabb+rRRx9VvXr11K5dO3388ceyWq0O7fz1118aO3asHnzwQTVq1Ejjx4/X4cOHFR4erg0bNjgs+/333+vpp59WgwYN1KhRIw0bNkzHjx93WCZ7HEx8fLz+8Y9/qHHjxnr66acd5t3qs88+U48ePRQREaHIyEiNHj1a//3vfx2W+f333zVy5Eg1b95c9evXV8uWLTV69GilpKTcadMDyCf+3ACQw9dff62QkBCnxqmsXr1a9913n9q0aSMvLy99/fXXmjJlimw2m/r27StJmjRpkqZOnapSpUpp6NChkqRy5cpJklJTU9WvXz8lJSWpd+/eqly5sg4cOKB3331X58+f16uvvipJslqtGjZsmA4ePKg+ffooNDRU27Zt0/jx43PU9N133+n5559XcHCwRowYobS0NK1cuVJ9+vTRhg0bFBwc7LD8qFGjVL16dY0ePVq3O9s+f/58vf/+++rYsaN69uypixcvauXKlerbt682btyogIAApaena/DgwUpPT1e/fv1Urlw5JSUlaceOHUpOTpa/v79zOwGAc2wAcJOUlBRbWFiYbdiwYU4tn5qammPas88+a2vbtq3DtM6dO9v69euXY9l58+bZGjRoYDt58qTD9JkzZ9rq1KljS0xMtNlsNtuXX35pCwsLsy1dutS+TFZWlm3AgAG2sLAw2/r16+3Tu3XrZmvatKntr7/+sk87dOiQrXbt2rZx48bZp82ePdsWFhZme+WVV3LUlT0v25kzZ2x16tSxzZ8/32G5I0eO2O6//3779N9++80WFhZm++KLL3K0CcD1OLUEwMGVK1ckSaVLl3Zq+ZuvXEpJSdHFixcVGRmphIQEp06lxMbG6qGHHlJAQIAuXrxo/69Zs2bKysrSjz/+KEn69ttv5e3traeeesr+Xg8PD3uvT7Zz587p0KFDio6OVpkyZezTa9eurWbNmmnnzp05aujdu/cd69y6dausVqs6duzoUGe5cuVUvXp17dmzR5Lk5+cnSdq1a5dSU1Pv2C6AguHUEgAH2b+Ir1696tTy+/bt05w5c/Tzzz/n+MWdkpJyx1Mpp06d0pEjR9S0adNc51+8eFGSlJiYqPLly8vX19dhfrVq1RxeJyYmSpJq1qyZo617771Xu3btsg/ozXbrqabc/P7777LZbHleUZU9MDgkJESDBg3SkiVLtGnTJjVq1Eht2rTR448/zmkloBAQZAA48PPzU4UKFXTs2LE7Lnv69GkNHDhQoaGhmjBhgipXrixvb2/t3LlTS5cuzTFYNzdWq1XNmzfXc889l+v8GjVq5Pcj5Jszl1hbrVZZLBYtWLBAnp6eOebfHIwmTJig6Ohobdu2Tbt379a0adP00Ucfad26dapUqZJLawfudgQZADm0bt1aa9eu1YEDB9SwYcM8l9u+fbvS09M1f/58ValSxT49+zTLzSwWS65tVKtWTdeuXVOzZs1uW1OVKlW0Z88epaamOvTKnD59OsdyknTy5MkcbZw4cUJly5Z1CB3Oqlatmmw2m4KDg3Pt7blV9tVZL774ovbv368+ffpo9erVGj16dL7XDSBvjJEBkMNzzz2nUqVK6bXXXtOff/6ZY/7p06e1bNkye8+E7aYrfVJSUrR+/foc7/H19VVycnKO6R07dtSBAwf07bff5piXnJyszMxMSVKLFi2UkZGhdevW2edbrVbFxMQ4vKdChQqqU6eONm7c6LC+o0ePavfu3Xr00Ufv9PFz1b59e3l6emru3Lk5rmyy2Wz666+/JN0YY5Rdc7awsDB5eHgoPT3d0LoB5I0eGQA5VKtWTTNnztTo0aPVqVMn+51909PTdeDAAcXGxqpHjx4aOHCgvL29NXToUPXu3VtXr17VJ598oqCgIJ0/f96hzbp162r16tX64IMPVL16dQUGBqpp06YaPHiwtm/frqFDhyo6Olp169ZVamqqjh49qi+//FLbtm1TYGCgoqKiFBERoRkzZuj06dMKDQ3V9u3bdfnyZUmOPT7jxo3T888/r169eqlnz572y6/9/f01YsQIw9vk5Zdf1qxZs3T27FlFRUWpdOnSOnPmjOLi4vTUU09p8ODB+uGHH/Svf/1LHTp0UI0aNZSVlaXPPvtMnp6eeuyxx4zvFAC5IsgAyFXbtm31+eefa9GiRdq2bZtWr14tHx8fhYeHa8KECXrqqafk4+Oj2bNn67333tOMGTNUrlw59enTR4GBgZo0aZJDe8OHD1diYqIWLlyoq1evKjIyUk2bNpWvr69WrFihjz76SLGxsdq4caP8/PxUo0YNjRw50j5A1tPTUx999JHefPNN/b//9//k4eGhdu3aafjw4erTp4/DOJdmzZpp4cKFmj17tmbPni0vLy81btxYY8eOVUhIiOFt8sILL6hGjRpaunSp5s2bJ0mqVKmSmjdvrjZt2ki6cUqpRYsW+vrrr5WUlCRfX1+Fh4drwYIFatCggeF1A8gdz1oCYGpxcXEaPny4Vq1apYceesjd5QD4mzFGBoBppKWlObzOysrSihUr5Ofnp7p167qpKgDuxKklAKYxdepUpaWlqWHDhkpPT9dXX32lAwcO6JVXXnG4MR+AuwenlgCYxqZNm7RkyRKdOnVK169fV/Xq1dWnTx/169fP3aUBcBOCDAAAMC3GyAAAANMiyAAAANMiyAAAANMiyAAAANMiyAAAANMiyAAAANMiyAAAANMiyAAAANMiyAAAANP6/9J4z1goJEHRAAAAAElFTkSuQmCC\n" }, "metadata": {} } ] }, { "cell_type": "markdown", "source": [ "# **Visualisation et Simulation de la Distribution Uniforme Discrète**" ], "metadata": { "id": "DE3HXko8a1Iq" } }, { "cell_type": "code", "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "# Fixer la graine (seed) pour la reproductibilité\n", "np.random.seed(8302)\n", "\n", "# Paramètres\n", "a, b = 1, 6 # Borne inférieure et supérieure\n", "values = np.arange(a, b + 1) # Ensemble des valeurs possibles\n", "n = 1000 # Nombre de simulations\n", "\n", "# Simulation\n", "samples = np.random.choice(values, size=n)\n", "\n", "# Visualisation\n", "plt.hist(samples, bins=np.arange(a - 0.5, b + 1.5, 1),\n", " density=True, color='green', edgecolor='black')\n", "plt.axhline(y=1/(b-a+1), color='red', linestyle='--', label=\"PMF Théorique\")\n", "plt.title(f\"Distribution Uniforme Discrète de {a} à {b}\")\n", "plt.xlabel(\"Valeurs\")\n", "plt.ylabel(\"Fréquence\")\n", "plt.xticks(values)\n", "plt.legend()\n", "plt.grid(alpha=0.3)\n", "plt.show()" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 480 }, "id": "72MFqPpKOMy3", "outputId": "6dfe6eef-7bdf-4ff1-b07f-51685539c715" }, "execution_count": null, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": {} } ] }, { "cell_type": "code", "source": [ "import numpy as np\n", "\n", "# Fixer la graine (seed) pour la reproductibilité\n", "np.random.seed(8302)\n", "\n", "# Paramètres\n", "a, b = 1, 6 # Borne inférieure et supérieure\n", "n = 10 # Nombre d'échantillons à générer\n", "\n", "# Simulation\n", "samples = np.random.randint(a, b + 1, size=n)\n", "\n", "# Affichage des résultats\n", "print(\"Résultats des simulations (Distribution Uniforme Discrète) :\")\n", "print(samples)" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "y2ccR7nUYxFF", "outputId": "f7809e47-7d3f-4080-bc4c-9202bf32511b" }, "execution_count": null, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "Résultats des simulations (Distribution Uniforme Discrète) :\n", "[6 5 3 4 5 6 5 5 6 2]\n" ] } ] }, { "cell_type": "markdown", "source": [ "# **Visualisation de la Distribution de Uniforme Continue**" ], "metadata": { "id": "dhqpecmfbEnr" } }, { "cell_type": "code", "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "# Paramètres\n", "a, b = 0, 10 # Bornes de l'intervalle\n", "x = np.linspace(a - 1, b + 1, 1000) # Points pour la visualisation\n", "\n", "# Fonction de densité\n", "pdf = np.where((x >= a) & (x <= b), 1 / (b - a), 0)\n", "\n", "# Visualisation\n", "plt.plot(x, pdf, label='PDF', color='green')\n", "plt.fill_between(x, pdf, alpha=0.3, where=(x >= a) & (x <= b), color='green')\n", "plt.title(\"Distribution Uniforme Continue\")\n", "plt.xlabel(f\"Valeurs : $x$\")\n", "plt.ylabel(f\"Densité de Probabilité : $f(x)$\")\n", "plt.axvline(a, color='black', linestyle='--', label='a')\n", "plt.axvline(b, color='black', linestyle='--', label='b')\n", "plt.grid(alpha=0.3)\n", "plt.legend()\n", "plt.show()" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 480 }, "id": "q9aBA53JcITR", "outputId": "5bcdc8ed-683e-469a-bfed-b81c1360eef0" }, "execution_count": null, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": {} } ] }, { "cell_type": "code", "source": [ "import numpy as np\n", "\n", "# Fixer la graine (seed) pour la reproductibilité\n", "np.random.seed(8302)\n", "\n", "# Paramètres\n", "a, b = 0, 10 # Bornes de l'intervalle\n", "n = 10 # Nombre d'échantillons\n", "\n", "# Simulation\n", "samples = np.random.uniform(a, b, size=n)\n", "\n", "# Affichage des résultats\n", "print(\"Échantillons générés (Distribution Uniforme Continue) :\")\n", "print(samples)" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "3wi2ZU8ujZ_R", "outputId": "1b644594-d613-47bb-ba33-8fe083d57fef" }, "execution_count": null, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "Échantillons générés (Distribution Uniforme Continue) :\n", "[7.34601402 7.74717143 9.33120209 7.81422027 2.38767725 4.07153266\n", " 7.41344326 5.05593044 5.39814388 8.21514903]\n" ] } ] }, { "cell_type": "markdown", "source": [ "# **Visualisation et Simulation de la Distribution de Normale**" ], "metadata": { "id": "e5hjObKxbJGx" } }, { "cell_type": "code", "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from scipy.stats import norm\n", "\n", "# Paramètres\n", "mu = 0 # Moyenne\n", "sigma = 1 # Écart-type\n", "x = np.linspace(-4, 4, 1000) # Plage de valeurs pour X\n", "\n", "# Calcul de la densité\n", "pdf = norm.pdf(x, mu, sigma)\n", "\n", "# Visualisation\n", "plt.plot(x, pdf, color='green', label=f\"$\\mu={mu}, \\sigma={sigma}$\")\n", "plt.title(\"Distribution Normale\")\n", "plt.xlabel(f\"Valeurs de $x$\")\n", "plt.ylabel(f\"Densité de probabilité $f(x)$\")\n", "plt.legend()\n", "plt.grid(alpha=0.3)\n", "plt.show()" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 480 }, "id": "8a46LTjbi4xz", "outputId": "95d12e9f-9856-4acf-d677-7c87f9bca06d" }, "execution_count": null, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": {} } ] }, { "cell_type": "code", "source": [ "import numpy as np\n", "\n", "# Fixer la graine (seed) pour la reproductibilité\n", "np.random.seed(8302)\n", "\n", "# Paramètres\n", "mu = 0 # Moyenne\n", "sigma = 1 # Écart-type\n", "n_samples = 10 # Nombre d'échantillons\n", "\n", "# Générer des échantillons\n", "samples = np.random.normal(mu, sigma, n_samples)\n", "\n", "# Afficher les résultats\n", "print(\"Échantillons simulés :\")\n", "print(samples)" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "g8hyVO7YkQCB", "outputId": "0ca4c04d-1c82-47ef-a9e3-28c449289885" }, "execution_count": null, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "Échantillons simulés :\n", "[ 0.86706276 0.74044938 -0.51435286 -1.44717604 0.0395389 1.706135\n", " 1.3075181 0.16191484 1.10469746 -2.46412949]\n" ] } ] }, { "cell_type": "markdown", "source": [ "# **Visualisation et Simulation de la Distribution de Laplace**" ], "metadata": { "id": "78fvKqKSbOW-" } }, { "cell_type": "code", "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from scipy.stats import laplace\n", "\n", "# Paramètres\n", "mu = 0 # Paramètre de localisation\n", "b = 1 # Paramètre d'échelle\n", "x = np.linspace(-5, 5, 1000) # Plage de valeurs pour X\n", "\n", "# Calcul de la densité\n", "pdf = laplace.pdf(x, loc=mu, scale=b)\n", "\n", "# Visualisation\n", "plt.plot(x, pdf, color='green', label=f\"$\\mu={mu}, b={b}$\")\n", "plt.title(\"Distribution de Laplace\")\n", "plt.xlabel(\"Valeurs de X\")\n", "plt.ylabel(\"Densité de probabilité f(X)\")\n", "plt.legend()\n", "plt.grid(alpha=0.3)\n", "plt.show()" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 480 }, "id": "Tik9X_h_lkAO", "outputId": "1a5460a1-dbfc-49a6-d4b8-0c45a36bcc23" }, "execution_count": null, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
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\n" }, "metadata": {} } ] }, { "cell_type": "code", "source": [ "import numpy as np\n", "\n", "# Fixer la graine (seed) pour la reproductibilité\n", "np.random.seed(8302)\n", "\n", "# Paramètres\n", "mu = 0 # Paramètre de localisation\n", "b = 1 # Paramètre d'échelle\n", "n_samples = 10 # Nombre d'échantillons\n", "\n", "# Générer des échantillons\n", "samples = np.random.laplace(mu, b, n_samples)\n", "\n", "# Afficher les résultats\n", "print(\"Échantillons simulés :\")\n", "print(samples)" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "NwQnChW3sYre", "outputId": "11c852a4-a693-4c9f-83c9-2f05a9daee91" }, "execution_count": null, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "Échantillons simulés :\n", "[ 0.63337526 0.79725134 2.01171125 0.82746529 -0.73911688 -0.20541841\n", " 0.65911037 0.01124912 0.08297819 1.03010299]\n" ] } ] }, { "cell_type": "markdown", "source": [ "# **Visualisation de la Distribution du $\\chi^2$**" ], "metadata": { "id": "VRv6WSNbbVg7" } }, { "cell_type": "code", "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from scipy.stats import chi2\n", "\n", "\n", "# Degrés de liberté pour les distributions Chi-deux\n", "df_values = [2, 5, 10, 15, 20]\n", "\n", "# Valeurs x pour le tracé\n", "x = np.linspace(0, 40, 500)\n", "\n", "# Tracer les distributions Chi-deux pour différents degrés de liberté\n", "plt.figure(figsize=(10, 6))\n", "for df in df_values:\n", " plt.plot(x, chi2.pdf(x, df), label=f\"Distribution $\\chi^2$ (k={df})\")\n", "\n", "# Personnalisation du graphique\n", "plt.title(\"Distributions $\\chi^2$ pour différents degrés de liberté\")\n", "plt.xlabel(\"$x$\")\n", "plt.ylabel(\"Densité de probabilité\")\n", "plt.legend()\n", "plt.grid(alpha=0.3)\n", "plt.show()\n" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 577 }, "id": "J4Lh7eso3cLi", "outputId": "e46c6b3a-2b4c-4be6-d15e-2b63f3af84f3" }, "execution_count": null, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": {} } ] }, { "cell_type": "markdown", "source": [ "# **Test $\\chi^2$ d'Ajustement (Exemple Numérique 1)**" ], "metadata": { "id": "f8Zt7MPPc_-h" } }, { "cell_type": "code", "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from scipy.stats import chi2\n", "\n", "# Fréquences observées et attendues\n", "categories = ['A', 'B', 'C', 'D'] # Catégories\n", "observed = np.array([50, 30, 10, 10]) # Fréquences observées (exemple)\n", "expected = np.array([40, 25, 20, 15]) # Fréquences attendues (exemple)\n", "\n", "# Calcul de la statistique de Khi-deux\n", "chi_square_stat = np.sum((observed - expected)**2 / expected)\n", "\n", "# Degrés de liberté\n", "df = len(categories) - 1 # Nombre de catégories moins 1\n", "\n", "# Valeur critique pour alpha = 0.05\n", "alpha = 0.05\n", "chi_square_critical = chi2.ppf(1 - alpha, df)\n", "\n", "# p-valeur\n", "p_value = 1 - chi2.cdf(chi_square_stat, df)\n", "\n", "# Visualisation\n", "fig, axs = plt.subplots(2, 1, figsize=(10, 10))\n", "\n", "# Graphe 1 : Fréquences observées vs attendues\n", "axs[0].bar(categories, observed, alpha=0.7, label='Observées', color='blue')\n", "axs[0].bar(categories, expected, alpha=0.5, label='Attendues', color='orange')\n", "axs[0].set_title('Fréquences Observées vs Attendues')\n", "axs[0].set_ylabel('Fréquence')\n", "axs[0].legend()\n", "axs[0].grid(axis='y', linestyle='--', alpha=0.7)\n", "\n", "# Graphe 2 : Distribution de Khi-deux\n", "x = np.linspace(0, chi_square_critical + 10, 500) # Plage de valeurs pour Khi-deux\n", "y = chi2.pdf(x, df) # Densité de probabilité pour Khi-deux\n", "\n", "# Tracé de la courbe de distribution\n", "axs[1].plot(x, y, label='Distribution de Khi-deux', color='blue')\n", "# Coloration de la région de rejet\n", "axs[1].fill_between(x, 0, y, where=(x > chi_square_critical), color='red', alpha=0.5,\n", " label=f'Région de rejet ($\\\\chi^2 > {chi_square_critical:.2f}$)')\n", "# Ligne indiquant la statistique de Khi-deux calculée\n", "axs[1].axvline(chi_square_stat, color='green', linestyle='--',\n", " label=f'Valeur observée $\\\\chi^2 = {chi_square_stat:.2f}$')\n", "axs[1].set_title(f'Distribution de Khi-deux (df={df})')\n", "axs[1].set_xlabel('$\\\\chi^2$ Valeur')\n", "axs[1].set_ylabel('Densité de probabilité')\n", "axs[1].legend()\n", "axs[1].grid(axis='y', linestyle='--', alpha=0.7)\n", "\n", "plt.tight_layout()\n", "plt.show()\n", "\n", "# Résultats imprimés\n", "print(f\"Statistique de Khi-deux : {chi_square_stat:.2f}\")\n", "print(f\"Valeur critique (alpha={alpha}) : {chi_square_critical:.2f}\")\n", "print(f\"p-valeur : {p_value:.4f}\")\n", "if chi_square_stat > chi_square_critical:\n", " print(\"Décision : Rejeter H0 (Les fréquences observées diffèrent significativement des attendues)\")\n", "else:\n", " print(\"Décision : Ne pas rejeter H0 (Pas de différence significative entre les fréquences)\")\n" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 1000 }, "id": "orrfK4am3tgI", "outputId": "ca917da3-6c34-4203-d1f8-5f43fe251662" }, "execution_count": null, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
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}, "metadata": {} }, { "output_type": "stream", "name": "stdout", "text": [ "Statistique de Khi-deux : 10.17\n", "Valeur critique (alpha=0.05) : 7.81\n", "p-valeur : 0.0172\n", "Décision : Rejeter H0 (Les fréquences observées diffèrent significativement des attendues)\n" ] } ] }, { "cell_type": "markdown", "source": [ "# **Test $\\chi^2$ d'Ajustement (Exemple Numérique 2)**" ], "metadata": { "id": "saW5QUCBdOa7" } }, { "cell_type": "code", "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from scipy.stats import chi2\n", "\n", "# Fréquences observées et attendues\n", "categories = ['1', '2', '3', '4', '5', '6'] # Faces du dé\n", "observed = np.array([12, 18, 20, 15, 17, 18]) # Fréquences observées\n", "expected = np.array([16.67] * 6) # Fréquences attendues (distribution uniforme)\n", "\n", "# Calcul de la statistique de Khi-deux\n", "chi_square_stat = np.sum((observed - expected)**2 / expected)\n", "\n", "# Degrés de liberté\n", "df = len(categories) - 1 # Nombre de catégories moins 1\n", "\n", "# Valeur critique pour alpha = 0.05\n", "alpha = 0.05\n", "chi_square_critical = chi2.ppf(1 - alpha, df)\n", "\n", "# p-valeur\n", "p_value = 1 - chi2.cdf(chi_square_stat, df)\n", "\n", "# Visualisation\n", "fig, axs = plt.subplots(2, 1, figsize=(10, 10))\n", "\n", "# Graphe 1 : Fréquences observées vs attendues\n", "axs[0].bar(categories, observed, alpha=0.7, label='Observées', color='blue')\n", "axs[0].bar(categories, expected, alpha=0.5, label='Attendues', color='orange')\n", "axs[0].set_title('Fréquences Observées vs Attendues')\n", "axs[0].set_ylabel('Fréquence')\n", "axs[0].legend()\n", "axs[0].grid(axis='y', linestyle='--', alpha=0.7)\n", "\n", "# Graphe 2 : Distribution de Khi-deux\n", "x = np.linspace(0, chi_square_critical + 10, 500) # Plage de valeurs pour Khi-deux\n", "y = chi2.pdf(x, df) # Densité de probabilité pour Khi-deux\n", "\n", "# Tracé de la courbe de distribution\n", "axs[1].plot(x, y, label='Distribution de Khi-deux', color='blue')\n", "# Coloration de la région de rejet\n", "axs[1].fill_between(x, 0, y, where=(x > chi_square_critical), color='red', alpha=0.5,\n", " label=f'Région de rejet ($\\\\chi^2 > {chi_square_critical:.2f}$)')\n", "# Ligne indiquant la statistique de Khi-deux calculée\n", "axs[1].axvline(chi_square_stat, color='green', linestyle='--',\n", " label=f'Valeur observée $\\\\chi^2 = {chi_square_stat:.2f}$')\n", "axs[1].set_title(f'Distribution de Khi-deux (df={df})')\n", "axs[1].set_xlabel('$\\\\chi^2$ Valeur')\n", "axs[1].set_ylabel('Densité de probabilité')\n", "axs[1].legend()\n", "axs[1].grid(axis='y', linestyle='--', alpha=0.7)\n", "\n", "plt.tight_layout()\n", "plt.show()\n", "\n", "# Résultats imprimés\n", "print(f\"Statistique de Khi-deux : {chi_square_stat:.2f}\")\n", "print(f\"Valeur critique (alpha={alpha}) : {chi_square_critical:.2f}\")\n", "print(f\"p-valeur : {p_value:.4f}\")\n", "if chi_square_stat > chi_square_critical:\n", " print(\"Décision : Rejeter H0 (Les fréquences observées diffèrent significativement des attendues)\")\n", "else:\n", " print(\"Décision : Ne pas rejeter H0 (Pas de différence significative entre les fréquences)\")\n" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 1000 }, "id": "7NjOPwh49IO1", "outputId": "fb178c11-f50e-4e55-ba3a-6c8da49bb1bd" }, "execution_count": null, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
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\n" }, "metadata": {} }, { "output_type": "stream", "name": "stdout", "text": [ "Statistique de Khi-deux : 2.36\n", "Valeur critique (alpha=0.05) : 11.07\n", "p-valeur : 0.7975\n", "Décision : Ne pas rejeter H0 (Pas de différence significative entre les fréquences)\n" ] } ] }, { "cell_type": "markdown", "source": [ "# **Test $\\chi^2$ d'Indépendance**" ], "metadata": { "id": "Hoo1X7STdeM6" } }, { "cell_type": "code", "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from scipy.stats import chi2\n", "\n", "# Fréquences observées\n", "observed = np.array([[150, 100, 50],\n", " [250, 150, 100],\n", " [100, 50, 50]])\n", "\n", "# Totaux\n", "row_totals = observed.sum(axis=1)\n", "col_totals = observed.sum(axis=0)\n", "grand_total = observed.sum()\n", "\n", "# Fréquences attendues\n", "expected = np.outer(row_totals, col_totals) / grand_total\n", "\n", "# Statistique de Khi-deux\n", "chi_square_stat = np.sum((observed - expected)**2 / expected)\n", "\n", "# Degrés de liberté\n", "df = (observed.shape[0] - 1) * (observed.shape[1] - 1)\n", "\n", "# Valeur critique et p-valeur\n", "alpha = 0.05\n", "critical_value = chi2.ppf(1 - alpha, df)\n", "p_value = 1 - chi2.cdf(chi_square_stat, df)\n", "\n", "# Résultats\n", "print(f\"Statistique de Khi-deux : {chi_square_stat:.2f}\")\n", "print(f\"Valeur critique (alpha={alpha}) : {critical_value:.2f}\")\n", "print(f\"p-valeur : {p_value:.4f}\")\n", "if chi_square_stat > critical_value:\n", " print(\"Décision : Rejeter H0 (Les variables sont associées)\")\n", "else:\n", " print(\"Décision : Ne pas rejeter H0 (Les variables sont indépendantes)\")\n", "# Visualisation\n", "fig, axs = plt.subplots(2, 1, figsize=(12, 12))\n", "\n", "# Bar chart pour fréquences observées et attendues\n", "x_labels = ['Non-fumeur', 'Fumeur léger', 'Fumeur intense']\n", "for i, label in enumerate(['Exercice Faible', 'Exercice Modéré', 'Exercice Élevé']):\n", " x = np.arange(len(x_labels)) + i * 0.2\n", " axs[0].bar(x, observed[i], width=0.2, label=f'{label} (Observé)', alpha=0.7)\n", " axs[0].bar(x, expected[i], width=0.2, label=f'{label} (Attendu)', alpha=0.4, hatch='//')\n", "\n", "axs[0].set_title('Fréquences Observées vs Attendues')\n", "axs[0].set_xticks(np.arange(len(x_labels)) + 0.2)\n", "axs[0].set_xticklabels(x_labels)\n", "axs[0].set_ylabel('Fréquences')\n", "axs[0].legend()\n", "axs[0].grid(axis='y', linestyle='--', alpha=0.7)\n", "\n", "# Courbe de distribution Khi-deux\n", "x = np.linspace(0, critical_value + 10, 500)\n", "y = chi2.pdf(x, df)\n", "\n", "axs[1].plot(x, y, label='Distribution de Khi-deux', color='blue')\n", "axs[1].fill_between(x, 0, y, where=(x > critical_value), color='red', alpha=0.5,\n", " label=f'Region de rejet ($\\\\chi^2 > {critical_value:.2f}$)')\n", "axs[1].axvline(chi_square_stat, color='green', linestyle='--',\n", " label=f'Valeur observée $\\\\chi^2 = {chi_square_stat:.2f}$')\n", "axs[1].set_title(f'Distribution de Khi-deux (df={df})')\n", "axs[1].set_xlabel('$\\\\chi^2$ Valeur')\n", "axs[1].set_ylabel('Densité de probabilité')\n", "axs[1].legend()\n", "axs[1].grid(axis='y', linestyle='--', alpha=0.7)\n", "\n", "plt.tight_layout()\n", "plt.show()" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 1000 }, "id": "nlg_zv36sabd", "outputId": "0998ca6a-76f8-4050-c7d2-4f16c71b20b2" }, "execution_count": null, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "Statistique de Khi-deux : 6.94\n", "Valeur critique (alpha=0.05) : 9.49\n", "p-valeur : 0.1389\n", "Décision : Ne pas rejeter H0 (Les variables sont indépendantes)\n" ] }, { "output_type": "display_data", "data": { "text/plain": [ "
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\n" }, "metadata": {} } ] }, { "cell_type": "markdown", "source": [ "# **Test $\\chi^2$ de la Variance**" ], "metadata": { "id": "-eEVIL-GeEsv" } }, { "cell_type": "code", "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from scipy.stats import chi2\n", "\n", "# Données\n", "n = 20 # Taille de l'échantillon\n", "s_squared = 4.5 # Variance observée\n", "sigma_squared_0 = 5 # Variance hypothétique\n", "alpha = 0.05 # Niveau de signification\n", "\n", "# Statistique de test\n", "chi_square_stat = (n - 1) * s_squared / sigma_squared_0\n", "\n", "# Degrés de liberté\n", "df = n - 1\n", "\n", "# Valeurs critiques\n", "chi_square_critical_low = chi2.ppf(alpha / 2, df)\n", "chi_square_critical_high = chi2.ppf(1 - alpha / 2, df)\n", "\n", "# p-valeur\n", "p_value = 2 * min(1 - chi2.cdf(chi_square_stat, df),\n", " chi2.cdf(chi_square_stat, df))\n", "\n", "# Résultats\n", "print(f\"Statistique de Khi-deux : {chi_square_stat:.2f}\")\n", "print(f\"Valeurs critiques : [{chi_square_critical_low:.2f}, \"\n", " f\"{chi_square_critical_high:.2f}]\")\n", "print(f\"p-valeur : {p_value:.4f}\")\n", "if(chi_square_stat < chi_square_critical_low or\n", " chi_square_stat > chi_square_critical_high):\n", " print(\"Décision : Rejeter H0 (la variance diffère significativement de \"\n", " \"l'hypothèse)\")\n", "else:\n", " print(\"Décision : Ne pas rejeter H0 (pas de différence significative)\")\n", "\n", "# Visualisation\n", "x = np.linspace(0, 40, 500)\n", "y = chi2.pdf(x, df)\n", "\n", "plt.figure(figsize=(10, 6))\n", "plt.plot(x, y, label=\"Distribution de Khi-deux\", color=\"blue\")\n", "plt.axvline(chi_square_stat, color=\"green\", linestyle=\"--\",\n", " label=f\"Valeur observée ($\\\\chi^2 = {chi_square_stat:.2f}$)\")\n", "plt.fill_between(\n", " x, 0, y,\n", " where=(x < chi_square_critical_low) | (x > chi_square_critical_high),\n", " color=\"red\", alpha=0.5, label=\"Régions de rejet\"\n", ")\n", "plt.title(f\"Test de Variance (df={df})\")\n", "plt.xlabel(\"$\\\\chi^2$ Valeur\")\n", "plt.ylabel(\"Densité de probabilité\")\n", "plt.legend()\n", "plt.grid(axis=\"y\", linestyle=\"--\", alpha=0.7)\n", "plt.show()" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 650 }, "id": "JFIVvyJzJUHu", "outputId": "2babece6-2f62-4889-c1c9-5128ad09df1c" }, "execution_count": null, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "Statistique de Khi-deux : 17.10\n", "Valeurs critiques : [8.91, 32.85]\n", "p-valeur : 0.8338\n", "Décision : Ne pas rejeter H0 (pas de différence significative)\n" ] }, { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": {} } ] }, { "cell_type": "markdown", "source": [ "## **Test $\\chi^2$ de la Variance : Calcul de l'intervalle de Confiance**" ], "metadata": { "id": "AZQWKkCKfxf2" } }, { "cell_type": "code", "source": [ "import numpy as np\n", "from scipy.stats import chi2\n", "import matplotlib.pyplot as plt\n", "\n", "# Taille de l'échantillon et variance de l'échantillon\n", "n = 20\n", "s_squared = 4.5\n", "alpha = 0.05\n", "\n", "# Calcul des valeurs critiques de la distribution Chi2\n", "chi_squared_lower = chi2.ppf(alpha / 2, n-1)\n", "chi_squared_upper = chi2.ppf(1 - alpha / 2, n-1)\n", "\n", "# Calcul de l'intervalle de confiance pour la variance de la population\n", "lower_bound = (n - 1) * s_squared / chi_squared_upper\n", "upper_bound = (n - 1) * s_squared / chi_squared_lower\n", "\n", "# Affichage de l'intervalle de confiance\n", "print(f\"L'intervalle de confiance à 95% pour la variance de la population est \"\n", " f\"approximativement ({lower_bound:.2f}, {upper_bound:.2f})\")\n", "\n", "# Tracé du graphique\n", "fig, ax = plt.subplots()\n", "x = np.linspace(0, 50, 1000) # Adapter la plage et la densité pour correspondre à la forme de la distribution\n", "y = chi2.pdf(x, n-1)\n", "ax.plot(x, y, 'r-', label='PDF de Chi2')\n", "ax.fill_between(x, 0, y, where=(x > chi_squared_lower) & (x < chi_squared_upper), color='gray', alpha=0.5)\n", "ax.axvline(x=chi_squared_lower, color='blue', linestyle='--', label='Valeur critique inférieure')\n", "ax.axvline(x=chi_squared_upper, color='green', linestyle='--', label='Valeur critique supérieure')\n", "ax.legend()\n", "ax.set_title('Distribution Chi2 et Intervalle de Confiance')\n", "ax.set_xlabel('Valeur de Chi2')\n", "ax.set_ylabel('Densité')\n", "plt.show()\n", "\n" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 498 }, "id": "tDQvGW0ukj2b", "outputId": "f4e8f4ac-4b89-49d1-b235-35f10cece55b" }, "execution_count": null, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "L'intervalle de confiance à 95% pour la variance de la population est approximativement (2.60, 9.60)\n" ] }, { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": {} } ] }, { "cell_type": "markdown", "source": [ "# **Visualisation de la Distribution de $t$ Student**" ], "metadata": { "id": "x5TWLvSEgGq-" } }, { "cell_type": "code", "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from scipy.stats import t, norm\n", "\n", "# Degrés de liberté pour les distributions t\n", "df_values = [1, 5, 10, 30]\n", "\n", "# Valeurs x pour le tracé\n", "x = np.linspace(-4, 4, 500)\n", "\n", "# Tracer les distributions t pour différents degrés de liberté\n", "plt.figure(figsize=(10, 6))\n", "for df in df_values:\n", " plt.plot(x, t.pdf(x, df), label=f\"Distribution t de Student ($k$={df})\")\n", "\n", "# Tracer la distribution normale standard pour comparaison\n", "plt.plot(x, norm.pdf(x), label=\"Distribution Normale\", linestyle='--', color='black')\n", "\n", "# Personnalisation du graphique\n", "plt.title(\"Comparaison des distributions t de Student et normale\")\n", "plt.xlabel(\"x\")\n", "plt.ylabel(\"Densité\")\n", "plt.legend()\n", "plt.grid(alpha=0.3)\n", "plt.show()\n" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 573 }, "id": "odovyz3Y1--8", "outputId": "2ff0da43-9ecd-4c19-93ea-144df5bf5968" }, "execution_count": null, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": {} } ] }, { "cell_type": "markdown", "source": [ "## **Visualisation du test $t$ de Student pour la Comparaison de Moyennes**" ], "metadata": { "id": "Xv5mFa_dgLj-" } }, { "cell_type": "code", "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from scipy.stats import t\n", "\n", "# Données de l'échantillon\n", "data = np.array([28, 32, 35, 30, 29, 31, 36, 27, 34, 33])\n", "n = len(data) # Taille de l'échantillon\n", "mu = 30 # Moyenne hypothétique\n", "\n", "# Calculs\n", "sample_mean = np.mean(data) # Moyenne de l'échantillon\n", "sample_std = np.std(data, ddof=1) # Écart-type de l'échantillon\n", "t_statistic = (sample_mean - mu) / (sample_std / np.sqrt(n)) # Calcul de la statistique t\n", "df = n - 1 # Degrés de liberté\n", "\n", "# Niveau de signification\n", "alpha = 0.05\n", "\n", "# Valeurs critiques de t\n", "critical_t_low = -t.ppf(1 - alpha / 2, df)\n", "critical_t_high = t.ppf(1 - alpha / 2, df)\n", "\n", "# Calcul de la p-valeur\n", "p_value = 2 * (1 - t.cdf(abs(t_statistic), df))\n", "\n", "# Affichage des résultats\n", "print(f\"Moyenne de l'échantillon : {sample_mean:.2f}, Écart-type : {sample_std:.2f}\")\n", "print(f\"Statistique t : {t_statistic:.2f}, Degrés de liberté : {df}\")\n", "print(f\"Valeurs critiques : [{critical_t_low:.2f}, {critical_t_high:.2f}]\")\n", "print(f\"p-valeur : {p_value:.4f}\")\n", "\n", "# Décision basée sur la statistique t\n", "if abs(t_statistic) > critical_t_high:\n", " print(\"Décision : Rejeter H0 (différence significative).\")\n", "else:\n", " print(\"Décision : Ne pas rejeter H0 (pas de différence significative).\")\n", "\n", "# Visualisation\n", "x = np.linspace(-10, 10, 400)\n", "y = t.pdf(x, df)\n", "\n", "plt.figure(figsize=(10, 6))\n", "plt.plot(x, y, label=\"Distribution $t$\", color=\"blue\")\n", "plt.axvline(t_statistic, color=\"green\", linestyle=\"--\",\n", " label=f\"Valeur observée de $t$ = {t_statistic:.2f}\")\n", "plt.axvline(critical_t_low, color=\"red\", linestyle=\"--\")\n", "plt.axvline(critical_t_high, color=\"red\", linestyle=\"--\",\n", " label=\"Valeurs critiques (Zones de rejet)\")\n", "plt.fill_between(x, 0, y, where=(x < critical_t_low) | (x > critical_t_high), color=\"red\", alpha=0.5)\n", "plt.title(f\"Visualisation du test $t$ de Student ($k$={df})\")\n", "plt.xlabel(\"Valeur de t\")\n", "plt.ylabel(\"Densité de probabilité\")\n", "plt.legend()\n", "plt.grid(True)\n", "plt.show()\n" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 664 }, "id": "AxsXe-o3zWqZ", "outputId": "3b63c629-037b-4141-aa85-cf2b47998b38" }, "execution_count": null, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "Moyenne de l'échantillon : 31.50, Écart-type : 3.03\n", "Statistique t : 1.57, Degrés de liberté : 9\n", "Valeurs critiques : [-2.26, 2.26]\n", "p-valeur : 0.1516\n", "Décision : Ne pas rejeter H0 (pas de différence significative).\n" ] }, { "output_type": "display_data", "data": { "text/plain": [ "
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zzz8mfxaF7Sc/1apVw9GjR/HFF1+gQoUKCA0NNYw6FaetTDmmwsyZMwdZWVno2rUrQkJCoFKpcPLkSfz666+oWrUq+vXrV+Txmvp5leRxPcncz6t69eqoU6cOjhw5ggEDBhhev379OnJycgyl/hs0aICZM2di2rRpqF+/vqGSq6XXiB0/fhzLly9Hu3bt4OfnhzNnzuCHH37A008/ne8I2/nz55GSkoLOnTubvS8iKnlMxIio1OjduzdOnTqFRo0a5VsEIDd3d3cMGTIEhw8fxt69eyGKImrUqIEPPvgAQ4cONSzn7++PZcuWYf78+Vi4cKHh3kQJCQl5koB3330XEokEP//8M3JyctCsWTOsW7cOo0aNMus4TI3N1P01atQIEyZMwObNm/HXX39Bq9UWWAGvdu3a+Oabb/Dpp59i1apVEEURjRo1wsKFC/PcQ6w4wsPDsXbtWsybNw9Lly5FpUqVMG7cONy/fz/Pl3BzPoMnFXTsnp6eKF++PL777jssX74c+/btw7fffgs/Pz/UqlXLcLNlUz+LwvaTn9dffx03b97EihUrkJmZiffee6/ARMyctjLlmArz9ttvY/fu3Thw4AC2bNkClUqFKlWqYOjQoXj99dcN1z4Vdrymfl4leVxPMvfzAoD+/ftjyZIlyM7ONlx/pR+hy33PtX79+uHcuXOYP38+wsLC0LJlS7Pj06tYsSKkUinWrl0LhUKBatWqYeLEiRgxYgRksrxf4Xbv3o0qVaqgTZs2Fu+TiEqOIJbUFd1ERERETio9PR1dunTBlClTMHDgQHuHk4dSqUSnTp0wevRoREZG2jscIjIBrxEjIiIiKoKPjw9GjhyJtWvXGio5OpLvv/8eMpkMQ4YMsXcoRGQijogRERERERGVMI6IERERERERlTAmYkRERERERCWMiRgREREREVEJYyJGRERERERUwpiIERERERERlTDe0NkKRFGEVusYxSclEsFhYimN2L62xfa1PbaxbbF9bYvta1tsX9ti+9qWo7SvRCJAEASTlmUiZgVarYhHjxT2DgMymQT+/l5IS8uEWu149zhxdmxf22L72l6hbaxSwf2rdQCA7JdfAVxc7BChcyutfVilUeGri7q+8XK9V+AitXLfMLHvldb2dRRsX9ti+9qWI7VvQIAXpFLTEjGHm5oYGxuLV155BU2aNEG7du2wYMECKJVKs7axfv16hIWFISoqKs97SUlJGDduHJo2bYpWrVrh3XffRUZGhrXCJyJyTkolfKZNgc+0KYCZ51wq3ZRaJab9NQXT/poCpdYGfYN9j4jKKIcaEUtNTUVkZCSCgoIQExODpKQkzJ8/H9nZ2ZgxY4ZJ27h//z6WL1+OcuXK5XlPpVJh1KhRAIBPP/0U2dnZ+Pjjj/Hmm29i1apVVj0WIiIiIiKigjhUIrZ582YoFAosW7YMfn5+AACNRoNZs2YhKioKFStWLHIbCxcuRKdOnZCYmJjnvT179uDatWvYtWsXQkJCAAByuRwjR47E2bNn0ahRI6seDxERERERUX4camriwYMH0bZtW0MSBgA9evSAVqvF4cOHi1z/xIkT2L9/P958880Ctx8WFmZIwgCgXbt28PPzw4EDB4odPxERERERkSkcKhGLi4szSpIA3YhVYGAg4uLiCl1Xo9Fg9uzZeO2111ChQgWTty8IAoKDg4vcPhERERERkbU41NTEtLQ0yOXyPK/7+voiNTW10HU3bdqErKwsjBgxotDt+/j4WLT9oshk9s9ppVKJ0f/Juti+tsX2tb1C2zjXOUwmkxg9J9OU1j4sE437hqV/77RaDdRqDYAny0trkF2zpm4ZaACtKt/1NRoJsrOzodGooNWy6py1sX1ti+1rWyXTvgJkMikkEqnVtuhQiZilHj58iKVLl+Ljjz+Gq6trie9fIhHg7+9V4vstiFzuYe8QSjW2r22xfW0v3zbOder09/cCvBznnOZsSlsfds1VyNDfzwterub1DVEUcefOHaSkpEDM7xY/ohYPVnyue5yRDCgK/mE0KcmsXZOZ2L62xfa1rZJoX0EA/Pz8ULlyZZPvFVYYh0rE5HI50tPT87yempoKX1/fAtdbsmQJwsLC0KJFC6SlpQEA1Go11Go10tLS4OnpCZlMBrlcnm+p+tTUVFSuXNniuLVaEWlpmRavby1SqQRyuQfS0rKg0fDXFmtj+9oW29f2Cm1jtRqyzdt0DzPVgNL+90Z0NqW1D6u1amzuresbmelqKCXm9Y3k5AdQKDLg7e0HV1e3fL68iBBcvXWPvL0B5P/lRhAe37A134SOioXta1tsX9sqifYVRRFKZQ4ePkxGdrYK/v7l811OLvcweWaEQyViISEhea7VSk9Px/379/Nc25VbfHw8jh8/jpYtW+Z5r2XLlvjiiy/Qvn17hISE4OrVq0bvi6KI+Ph4tGvXrlix2/vmcblpNFqHiqe0YfvaFtvX9vJvYwnUnbo9fsrPwGKlrw9L0Kn6//uGFlCbMe1Hq9VAoUiHt7c/vL3zXnpg4O9m0vZkMkkpa1vHwva1LbavbZVE+7q66s5VGRnJ8PLyg0RSvKnoDpWItW/fHitXrjS6Vmz37t2QSCSFJkrTp083jITpzZ07F+7u7pg8eTLCwsIM2//pp59w/fp1BAUFAQCOHDmClJQUdOjQwTYHRUREVEZpNBoAj7+8EBE5O/35TKNRQyIp3iVRDpWIDR48GBs3bkR0dDSioqKQlJSEBQsWYPDgwUb3EIuMjERiYiL27dsHAKhbt26ebcnlcnh6eqJ169aG17p3745Vq1Zh3LhxmDx5MrKysrBgwQJ07NiR9xAjorJNpYLb91sBADn9BwEuLnYOiByFSqPC99d0faN/7UFwkZrfNwq9lkKrhZCSDAAQ/fyBYv7CTERkS9a4NkzPoRIxX19fbNiwAbNnz0Z0dDS8vLwwYMAATJo0yWg5rVZr+JXNHC4uLlizZg3mzJmDyZMnQyaToWvXrpg+fbq1DoGIyDkplZCPfx0AcL93XyZiZKDUKjH+d13f6B3a16JErFCiCOmNBACA2tfPutsmInJgDpWIAUBoaCjWr19f6DIbN24scjsFLVOxYkXExMRYEhoREREREZFVcPyfiIiIyARr165CREQLRES0wNNPt0T37h3w8ssvYtGij3H9erzRsh99NBPDhw8yedsHD/6JH374zqx4ntyHufu0JB5r7sNUd+4kYu3aVVAo8la+JnJmDjciRkREROSo3NzcsGTJSgBAVpYCsbH/4aeftuPnn3dg6tT30b17TwDAiBGjkJWVZfJ2//rrT1y+fBH9+g00eR1z92GOguKx5T4LcuLEP9i06Su88sroEt0vka0xESMiIiIykUQiQYMGDQ3PW7ZsgxdeGIi3356I+fNno0GDRqhatRqqVq1mk/2LogiVSgVXV1eb7aMw9tjntWtXEBwcWuxS4USOhj2aiIiIqBjc3NwwceJbUKlU2LnzRwB5p/DFxcViypTx6NmzMzp3bochQ/rhm282GJb99dediI+PM0x9/OijmUbbOXLkECIjh+CZZ9ri8OGD+e5D78iRwxg+fBA6dXoKr776Es6fP2f0/tixY/D22xONXrt27QratGmGkydPmBRPbgcO/I4RI4aiU6en0KfPs4iJWYScnByjZfTrnTx5Aq+8MhRdukRg9OiXcfnypULbtk+f7vjhh+9w+fJFQyy7d/9S6DpEzoIjYkRERETFFBwcgsDACjh//my+77/zzmQEBARg6tT34e3tjVu3buL+/XsAdNP9UlKSkZBwHTNmzAEA+Pv7G9Z98OABPvvsE0RGjkTFipVQsWKlAuN4+PAhFi36GK++OgY+Pj74+usNePPNsdi8eTv8/QNMOpai4snt0KEDeO+9d9C5cze89tpY3LhxHatWLUdS0l3MmbPAaNlHjx5iyZJPMGzYCHh7e2PVqmWYPn0Ktm79ETJZ/l9J5879FJMmRaNXr+fRubPuxuLBwcEmHQeRo2MiRkREgJsbUtdsMDwm0509K8H8+W54+FCAtzcQGSlF795aWPFWM3blJnXDmm4bDI+tQRSBzEz9EwmECiG6h1kSoJB2k8kAtbr4+/f0hE0+nwoVKuLRo4d5Xk9JScGdO7cxYcKbiIhoDwBo1qyF4f2qVavBz88fd+/eMZr2qJeenoZPPlmK+vUbFBlDWloqZs+ej+bNWwIAmjRpjn79emHLlk147bWxJh1HUfHk9uWXq1G/fkPMnPkRAKBNm6fg5uaOhQvnIjb2P4SG1soVWxpiYlYjJCQUAODu7o7x41/DhQvn0bhxk3y3X6lSJWRmKtCmzVNFxkLkbJiIERERIJNB+fwL9o7CqYgi8Omnrvj0U1doNI+/1f/1lzt69ZIiJiYb3t52DNBKZBIZnq9lvb4hisBzz3ni+HFprlflVtu+KVq1UuPnn7OsnoyJopjvzV59fX1RqVJlrFq1DOnpaWjevCUqVKho8nZ9fX1NSsIAwNvb25CE6Z+3aNEKFy+eN3l/psrMzMS1a1cRHT3B6PXOnbth4cK5OHv2tFEiVr58oCEJA3SjiABw/35Sgfv4779rAIBatWpbM3Qih8BrxIiIiCzw9dcuWLDADRqNgD59VPj222y8/z4gk4n45RcXTJniDlG0d5SOSRBKZ8Pcv38PAQHl8rwuCAIWLVqGmjWDsWjRx+jXrxdGjhyO06dPmrRdf/+82yyIn1/eKYQBAQF4+PCBydswVUZGOkRRzHPM3t7ecHV1RVpaap7Xc5PJdDcHVyqVBe7jv/+uwt8/AOXKlbdS1ESOgyNiREQEqNVw3fUzAEDZs7duDhgV6Nw5CaZP103TmzYtB5MmKSGTSTB4MNCyZTZeeMEdP/zggqee0uDll1V2jrZ41Fo1dsXp+kbPkN6QSYrXNwQB+PnnrFxTE0UI///CLsp9C50zKJNJoFZri7V/wDZTE+PiYnH//j306PFcvu/XqFETc+Z8DLVajXPnzmD16uV4551J2L79V3h6eha6bXNiTUlJzvPao0ePjBIZV1c3qFTG/TI9Pd30nfyft7cPBEFAcvIjo9czMjKgVCohl/uavc0nXbt2laNhVGpxRIyIiICcHPiOioTvqEjgiWpnZEyjAcaOdUdOjoCuXdWYMMH41/yICC2mT9e99u67brh927kvFsvR5GDU3kiM2huJHI11+oYgAF5e///PQwv5vTjI78XBy0P7+HUb/mftJCwnJweffbYQrq6u6N27b6HLymQyNG3aHMOGjYBCocCDB/f//7pLoSNDpsrIyMC//x43en7ixD+oV+/x1MYKFSrgxo0EiLmGbP/55+gTcRYdj6enJ2rXroM///zN6PXff98HAGjUqImlh2Fw48Z11KzJ4hxUOvEnTyIiIjP89JMMly5JIZeLiInJQn63NoqOVmLfPimOHpXhs89csXAhk9vSQqvVGsrBZ2VlIi5Od0PnxMTbmD79A1SuXCXPOv/9dw3Lli1G587dULVqNWRkZGDjxnWoXLmK4b5cQUFB2LXrJ+zbtxvVq9eAr69fvtsqilzui/nzZxtVTRRFEYMGDTEs07FjZ+zc+SMWL16Ap5/uiPPnz+ZJpkyN59VXx2DatCn48MP30a1bD9y4kYDVq5ejY8dORteHWcrT0wvnz5/FyZMn4OrqhvDwugVWWCRyNuzJREREJlKrgYULXQEAr7+uREAB1cAlEmDaNCX69JFh0yYXjBunRI0apfO6qLImJycHr732CgDAw8MTlStXRvPmLTF37ieoWTMo33XKlSuHcuXKYePGdXjw4D68vLzRuHETzJgxG1KprmjJc8/1wcWLF/DZZwuRmpqKHj2ew7vvzjQ7vnLlyuH118djxYoluH37FoKDQ7BoUYzRdVxt2jyFN94Yj23btuDXX3eiTZt2mDJlGiZOfMOwjKnxRER0wOzZ87Fu3RpMm/Ym5HI5nn/+BURFmVahsShRUdFYuHAuJk2KhlQqxd69B62yXSJHIIgiLyUuLo1Gi0ePFPYOAzKZBP7+XkhOVlhlDj0ZY/vaFtvX9gptY4UCgcGVAQD34+/o5m9RHt99J0N0tAf8/UWcOJEBH5/H7+XXvgMGeODgQRmGDVNi8WLnHBVTqBQI/kLXN+JH34GXi+l9Q6VS4uHDOyhXrjJcXFzzX0ijgezcGQCAumFjQCrNfzlY7xoxyh/b17bYvrZVUu1b1HktIMALUqlpV3/xGjEiIiITrV2r+6P72mtKoySsIG+9pbvGZts2F6Sk2DAwIiJyOkzEiIiITHDpkgQnT0ohk4l46SXTKiG2aqVB3boa5OQI+P57FxtHSEREzoSJGBERkQk2bdIlUt26qREYaNqsfkEAhg1TGa1PREQEsFgHEREBgKsr0pZ+bnhMxnJydNeHAY8TK1MNGKDChx+64dw5Kc6dk6BhQ+e6RsRV4oqlnT43PLY6QYCmRk3DYyKisoKJGBERAS4uyBk8zN5ROKx9+2R49EiCSpW0eOYZjVnrBgQAPXqo8eOPLvj2Wxc0bOhcRTtcpC4YHG7DviGRQMxV0Y+IqKzg1EQiIqIi/PKL7nfLF15Qw5JbGA0YoBtF27VLBtYqJiIigIkYEREBgFoN13274bpvt+5mWWSgUulGxACgZ0/L2qZ9ew08PUUkJkpw9qxz/elVa9XYd3039l3fDbXWBn1DFCGkpUJISwWzVCIqS5zrrwEREdlGTg58hw2C77BBuguiyODwYSnS0gSUL69FixbmTUvU8/AAOnXSJTG7djnXVQE5mhwM2zUIw3YNQo7GBn1Dq4U0LhbSuFhA61zXzxERFQcTMSIiokL8+qsucerRQ13YvYaLpB9N02+PiIjKNiZiREREBdBqgd27HydixdGlixoymYjLl6WIi2N1QCKiso6JGBERUQEuXJDgzh0JPD1FPP20ZdMS9fz8gKee0m1j716OihERlXVMxIiIiApw4IBuLmJEhAZubsXf3jPP6EbV/vqLiRhRSdi4cR0GDOiNlJQUe4dClAcTMSIiogIcOKBLmDp0sE61wA4ddCNihw9LoVRaZZNUQt5+exIGD36hwPe3bduMiIgWuH37lknb++ijmRg+fJC1wrM5Z4sXAK5du4JvvvkK8+Z9Aj8/P5vtJz09HRERLbBr189W2d6dO4lYu3YVFIoMq2yvMLdu3cTChXMxYsRQdOjQ2qzPeNeunxER0SLPf59/HgMAGDt2TL7vR0S0wP79e2x1SE6FP8kRERHlIzsbOHZMNyLWvn3xpiXq1aunRfnyWjx4IMHJk1K0aWOd7ZLtde3aHbNmvYdLly6gbt36ed7fv38v6tdviKpVq9khOnqSUqnE7Nkz8NZb01C7dpi9wzHLiRP/YNOmr/DKK6Ntvq/4+FgcOXIY9erVhyhqobWgcumnn8bAy8vb8DwwMBAA8OabU6FQKIyW/e67Tfjzz9/RokXr4gVeSjARIyIiwNUV6fM+MTwm4PhxKbKzBVSqpEWdOtYpqy6RAE8/rcH27RIcOOAciZirxBXznv7E8NjqBAGaqtUNjx3V0093hIeHJ/bt250nEbtzJxHnz5/FxIlT7BRd0URRhEqlgqsT/vu2JHZXV1d89dUWG0ZlO9euXUFwcCgkEttPXGvXrj2efrojAN2o5+XLF83eRlhY3XxHHIODQ/K8NmvWRbRq1camI5TOhFMTiYgIcHFB9sgxyB45BnBxsXc0DuHgwcejYdbMD/TTHA8edI7fQl2kLhjZcAxGNhwDF6kN+oZEAjEwEGJgoC5TdVDu7u54+ukO+P33/XlGDfbv3wOpVIrOnbsBAM6fP4t33pmEPn2eRZcuERgxYih27/7FpP2cP38W48e/hi5dItC9ewfMnPkukpMfGd4fO3YM3n57otE6165dQUREC5w8ecLwmn4q4ZEjhxAZOQTPPNMWhw8fLHC/Bw78juHDB6NTp6fQp8+ziIlZhJx87il45MhhDB8+CJ06PYVXX30J58+fM3o/Li4WU6aMR8+endG5czsMGdIP33yzwaxjzC/2bdu2oEOH1nj06KHRttLSUtGxYxvs2PG9yds3d7kn/fTTdgwY0BudO7fDhAmv4/btm/ku9+T2Z8yYXuT2+/Tpjh9++A6XL180TOMzte9YoiSSPb1z587gzp3b6Nq1R4nt09E5x18BIiKiEqZPlNq3t871YXr6aY4nT0qQng74+Fh1805DoVIU+J5UkMJd5p5nWZkogVptnARJBAk8ZB4mbffJZc3VtWt37N37K06d+hfNm7c0vL5v3260aNEa/v4BAIC7d++gYcPG6Nu3P1xd3XDu3BnMnz8boiiiR4/nCtz++fNnMW5cFNq0aYdZs+YhOzsLX3zxOaZOfROrVq0zO94HDx7gs88+QWTkSFSsWAkVK1bKd7lDhw7gvffeQdeu3REVNRY3blzHqlXLkZR0F3PmLDAs9/DhQyxa9DFefXUMfHx88PXXG/Dmm2OxefN2w7G/885kBAQEYOrU9+Ht7Y1bt27i/v17Zh/jk7HL5b5Ys+Zz/PHHfvTv/6JhuT///B0A0KlTF7O2b2lbHz78FxYs+Ag9e/ZG587dcOXKJbz//tQ8y1m6/blzP8WkSdHo1et5Q2IfHByc77KiKEKjKXpUXSaz7df94cMHITU1BRUrVsbzz/fF0KEvQ5rPTRf37dsNDw8PPP10B5vG40yYiBEREaDRwOXo3wAAVZunUKw7F5cCGRnAmTO6X4ojIqw7fbBaNRFBQVpcvy7B8eNSdOrk2NMTNVoNjt7R9Y02lZ+CVGKdvhH8ReUC3+tSoxs2PbfN8Lz+ulBkqjPzXfapKhHY0XeX4XmLjQ3wMPthvss2CWyKvQMPWBgx0LJlG/j5+WP//j2GRCwu7j/ExcVi6NCXH8ffpbvhsSiKaNy4Ke7dS8KPP/5QaCK2cuUyhIfXxdy5CyH8fxg2JKQWXn75RRw5cght20aYFW96eho++WQp6tdvUOhyX365GvXrN8SHH86FWq1FmzZPwc3NHQsXzkVs7H8IDa0FQDf6NHv2fMOxN2nSHP369cKWLZvw2mtjkZKSgjt3bmPChDcREdEeANCsWQuLjjG/2Nu0aYf9+/cYJWL79+9Bq1ZtIJf7mrV9S9t6w4a1aNy4KaZP/wAA0Lp1WyiVSqxfv6bI46xTpw6GDh1Y6PYrVaqEzEwF2rR5Cg0aNCzgE9P59dedmDt3VqHLAMB33/2EypWrFLmcucqVK4+RI6NQr14DCIKAQ4cO4IsvPsf9+/cwefI7Rsuq1Wr8/vt+tGvXHh4elv8YUtowESMiIiA7G34v9AIA3I+/A3h52Tkg+zpxQgqtVkCNGlpUqSJaffutW2tw/boEx445fiKWrcnGCz/q+kb86DvwkpTdviGTyfDMM12wf/8eTJ78DlxcXLBv3x64u7ujfftnDMulpaXhyy9X4a+/DuDBg/uGUQtfX98Ct52dnY1z584gOnqC0ShH9eo1UKFCRVy6dNHsRMzX17fIJCwzMxPXrl1FdPQEo9c7d+6GhQvn4uzZ04ZEzNvb22gk0NvbGy1atMLFi+cN+6tUqTJWrVqG9PQ0NG/eEhUqVLToGPOLvUuX7vjgg2m4e/cuKlWqhAcPHuD06ZN4771ZZm3f0rbWaDS4cuUS3nhjvNHrHTt2NkrEivNZ/vffNQBArVq1830/t3btnsaaNV8VuVz58oFFLmOJ1q3bonXrtobnrVq1gZubO7Zu3YSXXx6J8uXLG947fvwYUlKS0bXrszaJxVkxESMiInrCP//oRn1atbJNktS6tQZbtrgY9lMWxY++o3ug0UB2QXedkbp+Q0AqhVQwbpcLr8QCAGSy/Kcm5nZi+PkC9/nkspbo2rU7tm//DseO/Y2IiA7Yv38v2rVrD09PT8Myc+fOxPnzZzFixCgEB4fCy8sL27dvw++/7ytwu+npadBoNFi6dBGWLl2U5/1795LMjtXfv1yRy2RkpEMURQQEGC/r7e0NV1dXpKWlGl7z8/PPs35AQAASEuIBAIIgYNGiZVi9egUWLfoYWVlZCAuri3HjJqFJk2ZmHWN+sbdrFwF3dw/89tseDBsWid9/3wdXV1dDsQlTt29pW6ekJEOj0RimYeZug9yK81n+999V+PsHoFy58gUuoyeX+xpVKyyIracm5tapUxd8++1GXLt2xSgR279/N3x9fY0SN2IiRkRElIe+bH3r1rZLxADg5End/cScsJBdsXm5/H9kTaKBTKqbqqR28cp3Wqx+WZlMArVQeAVLw3ZtpGHDxqhcuQr27dsDP78Aw1Q8vZycHPz99yGMHTsJAwYMNrwuioWPrHp7+0AQBAwf/grat++Y531fXz8AgKurG1QqldF76enp+W7TlCIz+v0+WUQiIyMDSqXSMOUP0CUiT3r06JFR0lCjRk3MmfMx1Go1zp07g9Wrl+OddyZh+/ZfTT7GgmJ3c3NH+/Yd8NtvezFsWCR++20v2rV72jDVzdTtmxNHbn5+/pBKpXna6tEj4+cFbV8qlUCj0Ra4fQC4du2qSaNhgP2nJpoqJycbBw8eQPfuPUo0KXQGbA0iIqJcVCrg339tOyJWq5YWAQFaPHokwblzEjRvbp3y+GR7giCgS5fu+O67b+Hu7g5fX1+0afOU4X2VSgWtVguXXNVHMzMVOHSo4IqFAODh4YEGDRoiISEe4eFvFLhchQoVcPz4MYiiaLj26J9/jlp8PJ6enqhduw7+/PM3DBs23PC6fvSuUaMmhtcyMjLw77/HDdMTMzIycOLEP+jXb2Ce7cpkMjRt2hzDho3A1KmT8eDBfdSoUdOkYyxMly7d8dZbE3Hs2BFcuHAOL70UaXjP1DY0dbknSaVS1KkTjoMH/8SLLw4zvP7nn7+ZtP38RnSfdOPGdTRq1NSkeOw9NTE/+/fv/X87Pb5326FDB5GVlclpiflgIkZERJTLhQsSZGYK8PUVERZmmwRJEHRJ3u7duuvEmIg5l65du2PjxnXYtetn9OnTz+hXfm9vb9StWw9ff70efn5+kEpl+Prr9fDy8kZKSuGly994YwImTHgdM2ZMQ+fO3eDj44P79+/h+PFj6NmzN5o1a4GOHTtj584fsXjxAjz9dEecP382TyJgrldfHYNp06bggw/eRdeuPXDjRgJWr16Ojh07Ga4PA3RT4ebPn21UNVEURQwaNASA7vqmZcsWo3PnbqhatRoyMjKwceM6VK5cxXCja1OOsTAtW7aBr68v5s37EN7ePmjTpp3ZbVicOCIjX8XUqW9i7txZhqqJe/bsyrNcftt/+PA+jh07Wuj2PT29cP78WZw8eQKurm4ID69b4CiSr69foaNrpsjOzsaRI4cA6Kp9KhQK/PHHfgC6Yiz+/rrpqL/+uhPz58/GZ5+tQNOmzQEAkyePRbNmLQx95NChg/jpp+0YOHCw0Sjpvn27UbFiJaOknnSYiBEREeWin5bYqpXGpre10iViLjh2TIo33lAVvQI5jJCQWggNrY3Y2Gv5/sr/wQcfYeHCufjoo5mQy30xYMBgZGVlYvPmrwvdbsOGjbFixRqsXbsK8+bNgkqlQmBgRbRo0RLVquluet2mzVN4443x2LZtC379dSfatGmHKVOmYeJEy0aYACAiogNmz56P9evX4Pff34RcLsfzz7+AqKixRsuVK1cOr78+HitWLMHt27cQHByCRYtiDNeXlStXDuXKlcPGjevw4MF9eHl5o3HjJpgxY7ahnLkpx1gYmUyGjh0748cff8Bzz/UxGnk0Z/uWxhER0QFTpkzDV199if3796JevfqYNWsuxowZUWQcFSpURPPmhW8/KioaCxfOxaRJ0ZBKpdi7t/CR1OJKTn6Up/y+/vnSpSvh769LGPWl8nNPsa1RIwg7d/6E+/eTIIoiqlevgfHj38SAAY+rWqalpeHYsSMYOHCIYQSXHhPEoiYtU5E0Gi0ePSr4viUlRSaTwN/fC8nJiiKHvsl8bF/bYvvaXqFtrFAgMFhXTrysV00cNcodP/3kgnffzcGECUqT1zO3D//zjwTPPeeF8uW1uHBBYdWbRluTQqUwlJqPH33HrGuwVColHj68g3LlKsPFpYAL4TQayM6dAQCoGzYu9NYJpkztIsuxfW2L7WtbJdW+RZ3XAgK8IJWa9iseR8SIiAhwcUHGjNmGx2XZqVO6RKB5c9uWlW/USAuZTMSDBxLcuiWgenXH/F3UReKCGW1nGx5bnSBAU6Wq4TERUVnBRIyIiABXV2SNnVD0cqXcvXsCbt6UQBBENG5s20TM3R2oX1+LM2ekOHVKiurV1Tbdn6Vcpa4Y29SGfUMigZjrXlNERGWFDWe/ExEROZfTp3V/FmvX1sLHx/b7a9LkcRl7IiIqWxxuRCw2NhZz5szBqVOn4OXlhT59+mDixIlwLeImK1OmTMHZs2dx7949uLi4oE6dOnj99dcREfH4zuW3bt1C586d86zbuHFjbN261erHQkTkNDQayM6eBgCoGzUp9Dqd0kw/LbFp05K5jqNZMw02bHicADoijVaDs/dPAwAaBTaBVGLlviGKQFam7rGHJ6cnElGZ4VCJWGpqKiIjIxEUFISYmBgkJSVh/vz5yM7OxowZMwpdV6VSYcSIEQgKCkJOTg62bduGMWPG4KuvvkKLFsYlQidPnozWrVsbnnuV4YvSiYgAANnZ8O/+DICyXaxDn4jpR6psrUkTXcJ3+rQUGo1j5r/Zmmx0/17XN+JH34GXxMp9Q6uF7OoVAEUX6yAiKk0cKhHbvHkzFAoFli1bBj8/PwCARqPBrFmzEBUVhYoVC55DvmTJEqPn7du3R+fOnfHjjz/mScRq1qyJJk2aWDt8IiJyYqL4eGSqWbOSScTq1NHC01NEZqaAa9ckCA9nRTUiorLCoeZCHDx4EG3btjUkYQDQo0cPaLVaHD582KxtSaVS+Pj4QKXivVmIiKhoCQkCHj2SwNVVRL16JZMQSaWPR99OnXKoP8lERGRjDnXWj4uLQ0hIiNFrcrkcgYGBiIuLK3J9URShVquRnJyMtWvXIiEhAS+++GKe5WbOnIm6deuibdu2eO+995CSkmKtQyAiIid1+rRuSlz9+lq4uZXcfvXTE1mwg4iobHGoqYlpaWmQy+V5Xvf19UVqamqR62/btg3vvfceAMDT0xOLFy9G06ZNDe+7urpiyJAhiIiIgFwux5kzZ7By5UqcP38e3333XZ67s5tDJrN/Tqu/eZypN5Ej87B9bYvta3uFtnGuc5hMJjF6XlacO/e4UIcl53RL+3CzZlrD/h3hb8mTZKJx3zAnRq3WhMIbuYtzFFKoQ/+WIOimkZJ1sX1ti+1rW/ZoX6lUKPY526ESseLq3LkzwsPDkZycjN27d2PixIlYtmwZOnToAACoUKECZs6caVi+VatWqF27NqKiorBv3z707NnTov1KJAL8/R3nwna53MPeIZRqbF/bYvvaXr5tnKswrb+/V5ks1nHpku7/bdq4wN/f8h/mzO3DTz+t+//Fi1L4+HhB5mB/mV2Vjx/7+3nBy9X0vpGdLcWDB5LCv7DkmgUqk0kASeFfbOzxY82bb05AQsJ1bNv2Y77vb926GYsWLcC2bT+iWrXqRW6vTZtmGDduIoYNe9naoRabtdr3iy9WYtOmjfjjD92lJYmJifjll5/Qt29/BAYGGpb7998TiI4eg3XrvkbduvWssu+StG3bFvzyy89Yt+5rALrPtjBNmzbH559/URKh2Ux6ejq6du2A996bieeee96usTz5b8mU/ltQXzxz5jTefnsyfvjhJ3h5eRe4vlYrQCKRwNfXE+7u7sWK36FO93K5HOnp6XleT01Nha+vb5HrBwQEICAgAICuWEdqaioWLlxoSMTy06FDB3h6euLChQsWJ2JarYi0tEyL1rUmqVQCudwDaWlZ0Gh4wbe1sX1ti+1re4W2sUIB//8/TE5WAMo8q5dqogicPOkJQEBoaBaSk83vg5b24XLlAG9vT2RkCPjnn0zUretYP5crVArD4+QUBZRm5KhKZQ60Wi00GhFqdQFtotUavoyo1doCL5oQBF0bazTaEh9R6NKlO2bNeg/nzp1D3br187y/d+9u1K/fEJUqVS34OJ9QaJvYgbXbt1evPmjTpp3hGG/duoW1a1ejbdsI+PuXMyxXq1YdrFy5DtWq1XSo9jBFdnY21q1bg0mT3jbEvnLlunyX/euvP/DNN1+hbdt2TnecT9LHr9Xavw+vXLkOlSpVhkajNbn/FtQX69dvhODgEHz99UaMHBlV4PoajQitVovU1ExkZeUt7CSXe5j8g4ZDJWIhISF5rgVLT0/H/fv381w7Zor69evj4MGD1gqvUPbuiLlpNFqHiqe0YfvaFtvX9vJtY0EKxZSpAAC1IAXK2Gdw+7aAR48ESKUiatdWQ622fFuW9OF69TT45x8ZTp8WULt2yVRsNJWglWJKi6mGx+Ycm0Zj2jd6baXKRS6j/3Jlj2ldTz/dER4enti3b3eeROzOnUScP38WEydOKfnATCCKIlQqVZH3Y7VW+yqVSshkMlSoUBEVKhRc7VrPy8sbDRo0LN5O7eS33/ZCrVYjIuLxD/75Hcvdu3fx44/b0apVGwwZMrwkQ3RKOTnZcHMzbaRJ397W6r+9ej2P5cuXIDJyJGRFTE+wxo8pDjUZvX379vj777+RlpZmeG337t2QSCRo166d2dv7999/Ub164VME/vjjD2RmZqJhQ+c8CRARWYWrKzLfno7Mt6cDRXxhK43OndP9OaxTR4tizjSxSMOGj68TczSuUle83Wo63m41Ha5SG/QNiQTaSpV1yVgR0xLtxd3dHU8/3QG//74fWq3xF6/9+/dAKpWic+duePDgAebOnYWBA/ugU6d2GDz4BaxatRxKZdFDzH//fQijR0eiU6d2eO65Lvjkk3nIysoyvL9r18+IiGiRp8DYiBFD8dFHMw3PP/poJoYPH4QjRw4hMnIInnmmLQ4fPgi1Wo3ly5egX79eeOaZtujTpzvefnsSMjIyCo3r/v17mD17Bnr37oZOndph6ND+2Lr1W8P7Awb0xqJFH+Obbzagf//n0LlzO6SlpWHt2lXo2lU37/bkyRMYP/41AMCoUS8jIqIFIiJaGN6LiGiBy5cvGrapUGRg9uwZ6Nq1PZ57rgtWrFiCTZs2GtYxpz0A4Pz5sxg//jV06RKB7t07YObMd5Gc/MhomY0b1+PFF/uiU6en8NxzXTBhwhtITLxdaNv8+utORER0KPQLu0ajwYcfvgcXFxd88MGHEHJdB5mTk4OYmEXo0+dZdOr0FEaMGIoDB/4wWl//eZ48eQKvvDIUXbpEYPTol3H58iWj5URRxKZNGzF4cD8880xbDBzYB1u2fGO0zL17SXj//an//yyfwsCBz2Pp0k8LPUYA+Omn7RgwoDc6d26HCRNex+3bN/NdbteunxEZORidOj2Fvn17YNWq5dBoCv9hSd9PLl48j6ioV9Cp01P4/vvvAADXr8dj6tTJ6N69A7p0icBbb03A7du3jNaPiGiBTZs2Gr1W2L+lwvoiALRv3xEZGek4cuRQke1iDQ41IjZ48GBs3LgR0dHRiIqKQlJSEhYsWIDBgwcb3UMsMjISiYmJ2LdvHwDgzz//xI4dO9CxY0dUrlwZqamp2LlzJw4dOoRFixYZ1ps/fz4EQUCTJk0gl8tx9uxZrFq1Cg0aNECXLl1K/HiJiMgx6BMgfUJU0ho21H1ZOX/eMRMRArp27Y69e3/FqVP/onnzlobX9+3bjRYtWsPfPwCxsf9BLvfFuHGT4OPjg5s3b+DLL1fj4cMHmD79gwK3/ccf+/HBB9PRs2dvjBwZhYcPH2DlymVIT0/DrFnzzI71wYMH+OyzTxAZORIVK1ZCxYqVsHHjOuzY8T1ef30cgoNDkJqagn/+OQqVquAkMTU1BVFRrwAAxox5A1WqVMXNmzeQmGj8ZfjAgd9RrVoNTJgwBRKJBB4exr9mhIWFY/Lkd7Bo0ceYPv0D1KgRVGj88+Z9iGPHjuK118aiSpUq2L59G65d22N2OwC6JGzcuCi0adMOs2bNQ3Z2Fr744nNMnfomVq3STSP89dedWLPmc4wa9Rrq128IhSIDZ86chkKhKHC7OTnZOH/+LJ59tleh+1+/fg3OnTuDhQuXoFy58kYjKB9++B6OHTuCMWPeQI0aQdi9+xe8997bmDfvE6NRtkePHmLJkk8wbNgIeHt7Y9WqZZg+fQq2bv3RkAQuWfIJfv55B15++VXUq9cA58+fxeefx8DNzQ19+w4AAMyZ8wEePLiPiROnwN8/AElJd3HlinFC96TDh//CggUfoWfP3ujcuRuuXLmE99+fmme5zZu/xuefx2DQoKEYO3Yirl+/jtWrV0Cr1eL118cVug+VSoVZs97DoEFDERUVDbncF7dv38Jrr72KkJBQTJ8+ExKJgK+++hITJryOTZu+L3CEt6h/S0X1RS8vbwQHh+D48WN4+umOhcZtDQ6ViPn6+mLDhg2YPXs2oqOj4eXlhQEDBmDSpElGy+nmmz/OsKtXrw6lUolPP/0UycnJ8Pf3R1hYGDZu3IhWrVoZlgsNDcW3336LrVu3Ijs7GxUrVsSAAQMwfvz4IocfiYhKNa0W0qtXAACaOmEOOzJhK/oRMX1CVNJyj4iJYqHFA0ucVtTiarKub9TxD4NEsFLf0H/JFUUgJ1v32M1df7ESjIYm9cvKJHmnzUokgIdH3mXz8+SyZmjZsg38/Pyxf/8eQyIWF/cf4uJiMXSorlBAaGgtjB070bBOw4aN4e7ugY8++gCTJ7+T74X9oihi+fIl6NSpK6ZOfd/werly5fHWWxMQGTkKISGhZsWanp6GTz5Zivr1Gxheu3TpAlq1ao1+/QYaXuvYsXOh29m8+RukpCTjm2+2oXLlKgBglITqqdVqfPLJUngU0LZeXt4ICgoGAISEhCI8vOCiHPHxcThw4A+88857eO65PgCAVq3aYvDgfoXGWpCVK5chPLwu5s5daBiNCgmphZdffhFHjhxC27YRuHTpAkJDa2P48FcM6xX1JfzatatQq9WoVat2gcucOXMaX331JV58cRjatHnK6L3//ruGAwf+wJQp09C3b38AQJs2T+Hu3Tv48ssvjBKxtLQ0xMSsNvQDd3d3jB//Gi5cOI/GjZvg9u1b+P77rZgyZRr69NG1U8uWrf9/DdsXeP75fpBIJLh06QKioqLRuXM3w7Z79Hiu0OPcsGEtGjduavghoXXrtlAqlVi/fo1hmcxMBdauXY2hQ19GVFT0//ffBi4uMsTELMbQocPh6+tX4D7UajXGjHnDKK45cz6AXC7H4sXL4fb/+4k0aNAYgwb1wc6dPxr1Yz1T/y0V1Rdr1aqDixcvFNou1uJw2UdoaCjWr19f6DIbNxoPQYaGhmLFihVFbnvgwIEYODDvB0dEVOZlZSGgfWsAwP34O2WuauL58/YdEQsL08LFRURqqoCbNwXUqOE4BTuy1Flov1nXN+JH34GXi3X6RmBwwdeF5XTphrRN2wzPy9cPhZCZf1Es5VMRSN2xy/C8XIsGkDx8mO+yqiZNkbL3gEXxymQyPPNMF+zfvweTJ78DFxcX7Nu3B+7u7mjf/hkAui+C3333LX76aTsSExOhVOYY1k9MvIWQkFp5tnvzZgLu3r2D8ePfhDrXxYlNmzaDRCLBlSuXzE7EfH19jZIwAKhTJxybNm3E2rWr8NRTEQgLqwtJET+4/PvvcTRr1sKQhBWkadPmBSZh5rp8+SJEUTS0KQBIpVK0b98BW7ZsMmtb2dnZOHfuDKKjJzzxA34NVKhQEZcuXUTbthGoUycc27dvQ0zMIrRv3wn16zco8gf6hw8fAAD8/PzzfT8tLQ0ffvgeatWqg9deG5vn/TNnTgEAOnUynpHVqVNXxMQsQlZWlqFNy5cPNOoDwcG6ugn37ycBAI4fPwYA6Nixk1EfatGiFb75ZgPu3UtCpUqVUadOOL799mtIpTK0bNm6yAqfGo0GV65cwhtvjDd6vWPHzkaJ2LlzZ5GVlYlnnun8xP5bIycnB3FxsWjatHmh+2rbNsLo+fHjR9G5czdIpVLDNn18fFCnTpjRNNbcbtywzr8lX18/w+draw6XiBEREZWkR4+AW7d0X0gbNLDPiJirqy4ZO39einPnpKhRoxjVQshmunbtju3bv8OxY38jIqID9u/fi3bt2sPT0xMAsHXrJixfvgRDh76MZs1awMfHB5cuXcSiRR8XeJ2Y/hqn6dPzL/aRlHTX7DhzV4LTe/nlVyEIAnbv/gXr1n0BPz9/9Os3EK+8MtrouqXc0tJSTfrimt/+LPXgwQPIZLI895X19w8we1vp6WnQaDRYunQRli5dlOf9e/d0iUzPnr2RmZmJn37aji1bNsHb2xvPPvscXn99bIFFI3JydJ9nQfegXbBgDtLS0rBkyef5JnXp6Wn/P07jquABAQEQRREZGemGRMzb27iUukym26e+T6WmpkAURfTqlf9lNklJukRs1qx5WL16OVavXoFPP52PGjVqIioqGh06dMp3vZSUZGg0mjxtr69QrpeamgIAePXVl/Ldjr6dC+Lu7m74N/R43ynYuvVbo+sR9fTHnzdeXRzF/bfk4uKCnJycohe0AiZiRERUpl28qBsNq1FDiye++5WoBg10idiFCxL0Kvyyk1Lhfvwd3QOtBrLz5wAA6gYNAYlUNzUxlwcXYgHo7jOWp0rZE6M6D0+cL3inxZxy27BhY1SuXAX79u2Bn18A7ty5jQkT3jS8/8cfv6Fdu/ZGIyDXr8cXuk39F/FJk97OM4oF6EZDABiuiVGrVUbvp6en5Vknv7zK1dUVI0dGYeTIKNy6dRO//PITvvxyNapUqVrgdU5yuS8ePLhfaPwF7c9S5cuXh1qtRlpamlEy9mRxDVPaw9vbB4IgYPjwV9C+fcc8+9JPl5NIJBg0aAgGDRqC+/fvYf/+vVi5MgZ+fn4YMWJUvnHqY8vIyEC5cuWN3vvpp+3488/f8d57swocdZLLffM9zkePHkEQBHh7++S7XkHbEgQBK1asyTcxrFGjJgBd206f/gG0Wi2uXLmEDRvWYsaMadi06XtUrVotz3p+fv6QSqV52v7RI+PnPj66+D/6aKFRTQe9okZU8/shQC73Rdu27fKdgvhk0vZ4HV0cRf1bKkpGRkaeBNlWmIgREVGZdvGi7st5vXr2LRtft64GgAsuXy4j1+fpp79qNI+v2/L0ypOEGS2b3zViBS1rA4IgoEuX7vjuu2/h7u4OX19fo2t/cnKy83wR3rv310K3WbNmECpUqIjExNvo339QgcsFBuq+4F6/Hm/4Qnn9enyRow35qVatOqKiovHjjz8gIeF6gcu1aNEKmzd/jbt376JSpUpm7yc3fbvoR5IKor9m5+DBPwzXiGk0Ghw8aDyl1JT28PDwQIMGDZGQEI/w8DdMijMwsAKGDHkJ+/btLjSJ1ic3iYm3UbNmkOH1hITrWLr0U3Tv3rPQQh6NGjUBoCsuob+uS/+8du0ws6Z66q/bS01NRURE+yKXl0gkqFu3PkaPfgOHDh3E7du38k3EpFIp6tQJx8GDf+LFF4cZXv/zz9+MlmvQoBHc3d1x/34SOnR45snNWKRFi1aIj49F7dphkOZ3TshHUFCwSf+WiuqLd+8mGj5fW2MiRkREZdqlS/pEzL73TgsP1+2/zCRiTqpr1+7YuHEddu36GX369DOadtayZWt8991mfP/9FlSvXhN79uzCrVu3CtmaLrkbO3YSZs16F9nZWWjbNgIeHh64e/cOjhw5hDFjolGjRk3Ur98AFSpUREzMIkRFjYVCkYGvv94AX1/TfrmfNu1NhIXVNXzJP3z4INLT09CsWYsC13nxxaHYvfsXjB07GiNGjESVKtWQmHgLN27cyHPdUFGqV68JqVSKX375EVKpFDKZNN9CCcHBIWjf/hksXboISqUSlStXxvbt2/KMfJnaHm+8MQETJryOGTOmoXPnbvDx8cH9+/dw/Pgx9OzZG82atcCCBR/Bx0eO+vUbwsfHB+fOnUFs7DX06zegwOOpUqUqypUrjytXLqFtW90tllQqFT74YDpkMhmefbYXzv9/pFdPJhOgVoto0KAhatWqjQ4dnsGyZYuRk5ODGjVqYu/eX3H+/FnMm1d0SfncatSoiX79BmLOnBkYMmQ46tVrALVajZs3b+DUqROYN+9TZGRkYPLksejevSdq1KgJtVqFbdu2wtvbB3XqhBe47cjIVzF16puYO3eWoWrinj27jJbx8fHByJGvYcWKGNy7dw9NmzaHVCpFYuIt/PXXQXz00YJ8C9UUZuTIKIwa9TImTx6H559/AQEBAXj06CFOnTqJxo2boGvXZ/OsY+q/paL64uXLlzB48LA827cFJmJERFSm6acm2jsRq1tXt/+4OAmys2GX+5lR0UJCaiE0tDZiY6/l+TI4YsRopKSkYM2aVQB0RQ0mTpyCd96ZlN+mDDp16gIfH29s2PClYQStUqXKaN36KQQE6K6/kslkmDv3E3z66Ty8//47qFatOsaNm4xlyz4zKe6GDRvj99/3Y/Pmr6HRaFC9ek3MmDEbLVu2LnAdX18/fP75WqxatRwrVsQgOzsblStXxgsvFJygFMTPzw+TJr2NTZu+wp49u6DRaHDo0Il8l502bQYWL16Azz9fCldXVzz77HNo0qQ5VqxYYljG1PZo2LAxVqxYg7VrV2HevFlQqVQIDKyIFi1aGqYNNmzYGD/9tB0//7wD2dnZqFKlKsaNm4Tnnutb6DE980xnHDv2t2H64oMH9/Hff1cBAJMmRRe4nv64Z8yYjVWrluObb9YjLS0NNWoEYc6cj00a1XrSxIlvoUaNmvjxxx+wfv0aeHh4okaNmnjmGV1lTFdXV4SG1sL3329BUtJduLm5Izy8LhYvXgY/P78CtxsR0QFTpkzDV199if3796JevfqYNWsuxowZYbTckCEvITAwEFu2fIPvv98CmUyGqlWr4amnnraoMnm1atXxxRcb8MUXn2PRovnIyspCuXLl0bhxU4SGGleqzD210ZR/S4X1xStXLiMlJbnIiqLWIoiiPe5RX7poNFo8elRIudwSIpNJ4O/vheRkRbHv9E15sX1ti+1re4W2sUJhqGJXlqomajRAaKg3MjMF/P13BmrVsvxPYnH7sCgCYWHeSEkR8NtvCrtVcHySQqVA8Be6vmFu1USVSomHD++gXLnKcHEp4GbQGg1k584AANQNG+c/NfH/8r1GjKzGkdt369ZNWLp0UYHJmz389981vPrqMGzd+iMqVSq4CqieI7evM8rMVKBbtw6YNm0GevV63irtu3z5Ely5cglLl64scJmizmsBAV6QSk2b2cARMSIiAlxckKmfalRAFbDSKCFBQGamAHd3EcHB9v1dUhCA8HANjh6V4fJlicMkYi4SF7zRZLzhsdUJArQVKhoeEzmLWrVqo1279vjuu28xbtxke4dTpiQkXMfu3b8AQKH3pTOHQpGBn3/egfnzzZsaWhxMxIiICHB1hWLmHHtHUeL00xLDwrSFDcSUmPBwLY4edazrxFylrpj5lA37hkQCbZWqtts+kQ298cZ4/PWXZfemI8utXLkMFy+ex+uvj0NoaN7781kiKekuRo9+DU2aNLPK9kzBRIyIiMosRynUoae/TuzyZQfICokcyKBBQzFo0FB7h5FH9eo1MHTocHuHUebMm/eJ1bcZElIr35uu2xITMSIiArRaSG7d1D2sVr3Y91tyFvrS9brS8fb3OBFznPbXilrcStf1jWo+1SERrBybKAL6mx27unJ6IhGVGUzEiIgIyMpCuRYNAZStYh2XLjlGxUS9sDBdQnjzpgTp6YCP6fd0tZksdRZafK3rG+YW6zCJVgvZpQsAii7WQURUmjjOT25EREQlKCsLiI/Xjb7o7+Flb/7+QKVKuliuXCk9f6JZoJmISgtrns9Kz1meiIjIDLGxEoiiAH9/EYGBjpMo6JNC/WidM5P+f3RLqcyxcyRERNahP59JpcWfWMipiUREVCZdvar7LbJOHY1DXZYUHq7Fn3861nVilpJIpPDw8EZGRjIAwNXVzejmqwAAjQZaie41jUoJaAtOQLVaARqN4yTNpQ3b17bYvrZl6/YVRRFKZQ4yMpLh4eENiRWupWYiRkREZdLjRMwxpiXq6QuHlIZEDADk8gAAMCRjeWhFSHIUuoePkgBJwVmxRCKBVutYn1dpwva1LbavbZVU+3p4eBvOa8XFRIyIiMok/TVYjpaIPZ6aWDoSMUEQ4OtbDj4+/tBo1HkXyMpEwBu9AQCPfvsL8PDMdztSqQBfX0+kpmZyVMEG2L62xfa1rZJqX6lUZpWRMD0mYkREVCZdu+aYiZg+ngcPJLh/X3Co69eKQyKRQCJxzfuGUgX3hAQAgIvUBXDJZxkAMpkE7u7uyMrSQK12rM+sNGD72hbb17actX2ZiBERESCTIeuVUYbHpZ1SCcTF6RKxsDDH+qPt5QXUrKlFQoIEV65IEBho33ucySQyvNJglOGx9XdQtvoeEZEez3hERAS4uSHj40X2jqLExMdLoFYL8PYWUbmy44041a2rQUKCBJcvSxARYd9EzE3qho/b27BvlLG+R0SkVzomoBMREZkhd6EOR6qYqFfarhMjIqK8OCJGRESAKEJ4+FD3sFw5OGR2YkWOWjFRT5+IXb5s/3uJiaKIh9m6vlHOvVze8vPF30GZ6ntERHpMxIiICMjMRPl6IQCA+/F3dBcqlWK57yHmiOrW1SdiEoiifXOTTHUm6q3T9Y340Xfg5WLlvlHG+h4RkR7nPBARUZnjqKXr9UJCtJBIRKSnC0hK4ggREVFpxESMiIjKFI0GiI117ETMzQ2oWVNXRERfZp+IiEoXnt2JiKhMSUgQkJMjwMNDRPXqjlcxUa92bV2S+N9//FNNRFQa8exORERliv76sNBQLaT2r4VRoFq1mIgREZVmPLsTEVGZcvWqLvty1GmJevoRMU5NJCIqnXh2JyKiMkU/IhYW5tiJGEfEiIhKN5avJyIiQCZD9otDDY9LM30iph9xclS1a+tK69+6JYFCYb+q7jKJDC+GDTU8tv4Oyk7fIyLKjWc8IiIC3NyQHrPS3lHYnFbrPCNiAQFAuXJaPHwoQVycBA0b2ideN6kbYjrbsG+Ukb5HRPQkzncgIqIy4/ZtAZmZAlxcRAQFOXYiBugKigC8ToyIqDTimZ2IiABRBBQK3X+i45Z0Ly59QhMaqoWLi52DMYEjlLAXRREKlQIKlQKiLfpGGel7RERPYiJGRERAZiYCgysjMLgykJlp72hs5soV57g+TM8RCnZkqjMR/EVlBH9RGZlqG/SNMtL3iIiexESMiIjKDH1C4yyJGEvYExGVXjyzExFRmREb+3hqojPQj4jFxkqgdY6QiYjIREzEiIiozHC2RKxGDRGuriKyswXcuiXYOxwiIrIiJmJERFQmpKcDSUnOlYjJZEBIiP2vEyMiIuvjWZ2IiMqEuDjdn7zy5bXw9bVzMGbQT0/kdWJERKULz+pERFQm6EeU9ImNs3CEEvZERGR9MnsHQEREDkAqRU7vvobHpZGzXR+mZ+8S9lJBit6hfQ2Prb+D0t/3iIjyw0SMiIgAd3ekrf3K3lHYlLMmYvYuYe8uc8fa7jbsG2Wg7xER5YfzHIiIqEx4nIiJdo7EPPrE8d49CVJT7RwMERFZjcMlYrGxsXjllVfQpEkTtGvXDgsWLIBSqSxyvSlTpqBbt25o0qQJWrZsiWHDhuHQoUN5lktPT8f06dPRqlUrNG3aFOPHj8e9e/dscShEROQgRPFxIuZs14j5+ACVKvE6MSKi0sahzuipqamIjIyESqVCTEwMJk2ahK1bt2L+/PlFrqtSqTBixAisWLECCxYsgJ+fH8aMGYMTJ04YLTdx4kQcPnwYM2fOxCeffIL4+HiMHj0aarXaVodFROT4FAoEVpAjsIIcUCjsHY3VJSUJUCgESKUiatZ0rkQMsO/0RIVKgQor5KiwQg6FygZ9o5T3PSKigjjUNWKbN2+GQqHAsmXL4OfnBwDQaDSYNWsWoqKiULFixQLXXbJkidHz9u3bo3Pnzvjxxx/RokULAMCpU6dw6NAhrF27FhEREQCA4OBg9OzZE3v37kXPnj1tc2BERGRX+tEw3Q2S7RyMBWrV0uKvvx4fBxEROT+HOqMfPHgQbdu2NSRhANCjRw9otVocPnzYrG1JpVL4+PhApVIZbV8ul6Ndu3aG10JCQlC3bl0cPHiw2PETEZFj0k/pc7ZCHXr6mzrr74VGRETOz6FGxOLi4tC/f3+j1+RyOQIDAxEXF1fk+qIoQqPRID09HT/88AMSEhLw4YcfGm0/ODgYgiAYrRcSEmLS9gsjk9n/j6NUKjH6P1kX29e22L62V2gb5zqHyWQSo+elQXy8rix67dqizc7XtuzDtWvr/h8XJynxvzcy0bhvWH3/JvY9niNsi+1rW2xf23LW9nWoRCwtLQ1yuTzP676+vkg1oVTUtm3b8N577wEAPD09sXjxYjRt2tRo+z4+Pvlu//z58xbHLZEI8Pf3snh9a5PLPewdQqnG9rUttq/t5dvGuabr+ft7AV6Oc06zhoQE3f8bNXKBv7+LTfdliz6s/1MWHy+Fn58Xnvg90aZcc9XL8vfzgperlfuGmX2P5wjbYvvaFtvXtpytfR0qESuuzp07Izw8HMnJydi9ezcmTpyIZcuWoUOHDjbdr1YrIi0t06b7MIVUKoFc7oG0tCxoNM45/caRsX1ti+1re4W2sUIB//8/TE5WAEUXq3Uqly97AJCgSpUsJCfbpn/Zsg/7+QFSqScyMwVcvJiJKlVKrgR/7gIdySkKKK2dx5rY93iOsC22r22xfW3LkdpXLvcweWTOoRIxuVyO9PT0PK+npqbC19e3yPUDAgIQEBAAQFesIzU1FQsXLjQkYnK5HHfv3rV4+4VRqx3nH5VGo3WoeEobtq9tsX1tL982zvVcrdYaPXd2SiVw/bpuCCk4WAO12rZJjC36sCDoCo3Exwu4dg2oUKHkPh/1E31DLVh532b2PZ4jbIvta1tsX9tytvZ1qEQsv2u10tPTcf/+fYSEhJi9vfr16xsV4QgJCcGRI0cgiqLRdWLx8fGoU6eO5YETETk7qRQ5XboZHpcmN24I0GgEeHmJqFjRuW7mnFtIiBbx8RLExUnQrp2mxPYrFaToUqOb4bH1d1B6+x4RUWEc6oq29u3b4++//0ZaWprhtd27d0MikRhVOjTVv//+i+rVqxttPzU1FUeOHDG8Fh8fj4sXL6J9+/bFC56IyJm5uyNt0zakbdoGuLvbOxqryl0xsSSvrbI2e1VOdJe5Y9Nz27DpuW1wl9mgb5TivkdEVBiHGhEbPHgwNm7ciOjoaERFRSEpKQkLFizA4MGDje4hFhkZicTEROzbtw8A8Oeff2LHjh3o2LEjKleujNTUVOzcuROHDh3CokWLDOs1bdoUERERmD59Ot555x24ublh8eLFCAsLQ7du3Ur8eImIyPb0995y1tL1eo8TMSfOJomIyMChEjFfX19s2LABs2fPRnR0NLy8vDBgwABMmjTJaDmtVguN5vG0jOrVq0OpVOLTTz9FcnIy/P39ERYWho0bN6JVq1ZG63722WeYN28eZsyYAbVajYiICLz33nuQyRyqKYiIyEpKSyIWHMx7iRERlSaCKIrOO2HeQWg0Wjx6pCh6QRuTySTw9/dCcrLCqS5UdBZsX9ti+9peoW2sUKB8/VAAwIMLsaWqfH2fPh44ckSGzz/PQv/+apvtx9Z9+Pp1Aa1aecPNTURCQgYkJZSPKVQK1F+n6xsXXomFl4uV+4aJfY/nCNti+9oW29e2HKl9AwK8nLNqIhER2Y+Qaf/bcNiC/hqxWrWc+8tPtWoiXFxE5OQIuH1bQPXqJfc7aqbatn2jtPY9IqLCcH4DERGVWunpwP37uj91+musnJVMBgQFcXoiEVFpwTM5ERGVWvHxuj9zgYFa+PjYORgrCAnRjYIxESMicn48kxMRUamlT8T0hS6cHQt2EBGVHjyTExFRqaVPWIKDS0ddKv30Sn2CSUREzotnciIiKrX0CYuzXx+mpz8OfUl+IiJyXqyaSEREgEQC5VMRhselRXy87ubHpWVqoj4RS0gQoFbrCnjYmkSQ4KkqEYbH1t9B6ex7RERFYSJGRESAhwdSd+yydxRW93hqYulIxKpUEeHuLiI7W8DNm0KJTLn0kHlgR18b9o1S2veIiIrCn56IiKhUysh4XLq+tCRiEsnjEva8ToyIyLnxLE5ERKWSPlEpX14LudzOwViRfnoiKycSETk3nsWJiAhQKFCubjDK1Q0GFAp7R2MV+kQsKKh0VEzUK+lETKFSoO6Xwaj7ZTAUKhv0jVLY94iITMFrxIiICAAgefjQ3iFYVWmrmKhnj5s6P8y2bd8obX2PiMgUHBEjIqJSqbRVTNRjCXsiotKBZ3EiIiqVSlvFRD19InbzpgCl0s7BEBGRxZiIERFRqVRapyZWrCjC01OEVivgxg3B3uEQEZGFmIgREVGpo1AASUn6Yh2lKxEThMejfKycSETkvHgGJyKiUkc/GhYQoIWfn31jsQWWsCcicn4WV01MTEzEypUrcezYMSQnJ2P58uVo2bIlHj16hBUrVqBfv36oV6+eNWMlIiJbkUigatLU8NjZ6ROx4ODSVbpeLzS05BIxiSBBk8CmhsfW30Hp6ntERKYqMhG7du0aateubfTaf//9h2HDhkGr1aJRo0a4ceMG1Go1ACAgIAD//vsvMjMzMXfuXNtETURE1uXhgZS9B+wdhdU8TsRK17REvZIcEfOQeWDvQBv2jVLW94iITFXkGXzPnj0YP348lLlKMy1cuBA+Pj7Ys2cPFi5cCFE0/sWxQ4cO+Pfff60fLRERkQlKa+l6Pf1IH6cmEhE5ryLP4P3798fdu3cxYsQIpKWlAQCOHz+OIUOGICAgAIKQt2JTlSpVkJSUZP1oiYiITFBaKybq6Y/r9m0B2dl2DoaIiCxSZCJWuXJlbNq0CQ0bNsTXX38NABBFEe7u7gWu8+jRI7i6ulovSiIisq3MTAQ0b4CA5g2AzEx7R1NspX1qYvnyInx8RIiigOvXbTsqlqnKRPONDdB8YwNkqmzQN0pZ3yMiMpVJZ2+ZTIZp06Zh+PDhAIB69erhwIH853Or1Wr88ssvaNy4sfWiJCIi2xJFSG/egPTmDUB07gIXmZnAnTulOxEThJK7TkyEiJvpN3Az/QZE2KBvlKK+R0RkDrPO3j4+PgCAMWPG4K+//sIHH3yAa9euAQAePnyIv//+G6+++iri4uIwZswY60dLRERUBP0Ikb+/CH9/OwdjQ48TMd7UmYjIGVlUvr5Dhw6YN28e5s6di61btwIA3nrrLYiiCG9vb3z88cdo2bKlVQMlIiIyhX6EqLSOhunpj08/DZOIiJyLxfcR69u3L7p164a///4b169fh1arRY0aNRAREQFvb29rxkhERGQyfWISFFS6EzH9vcRiY5mIERE5I4sSsePHjyM0NBQBAQHo0qVLnvcfPXqE2NhYjooREVGJu35dN1WvtFZM1NMfH0fEiIick0Vn75dffhmHDx8u8P2jR4/i5ZdftjgoIiIiS5W1qYl37khYbJCIyAlZNCL25A2cn6RUKiGVSi0KiIiI7EAQoA4LNzx2ZqW9dL1eQADg5yciJUVXwr5ePdscrwABYf7hhsfW30Hp6XtEROYwORFLTEzE7du3Dc/j4uJw/PjxPMulpaVh8+bNqFKlinUiJCIi2/P0RPJf/9g7imLLygISE0v3zZxzCw7W4tQpKeLjbZeIebp44q8hNuwbpaTvERGZy+RE7IcffsCyZcsgCAIEQcDKlSuxcuXKPMuJogipVIpZs2ZZNVAiIqKi6EvX+/qW7tL1evpEzNb3EiMiIuszORHr0aMHateuDVEUMXHiRAwfPhwtWrQwWkYQBHh4eKBu3booX7681YMlIiIqTO5piWVhlpt++qW+QAkRETkPkxOx0NBQhIaGAgDmzZuHFi1aoHr16jYLjIiISlBmJvy7dwQAJO/5E/D0tGs4loqPLxsVE/X0iZgtR8QyVZnovq0jAGDPgD/h6WLlvlFK+h4RkbksKtbxwgsvWDsOIiKyJ1GE7Mplw2NnpU9ISvs9xPRKooS9CBFXki8bHlt/B6Wj7xERmcukRGzatGkQBAGzZ8+GVCrFtGnTilxHEATMnTu32AESERGZSn+NWGmvmKgXHKxLXBITdSXsOZhEROQ8TErEjh07BkEQoNVqIZVKcezYsSLXEcrC5HwiInIo+pGhsjI1MSBAhK+viNRUAQkJEtStWzaOm4ioNDApEfv9998LfU5ERGRv2dnA7du6HwH1I0WlnSDoRv9On9ZVTmQiRkTkPFjvloiISoWEBAlEUYCPj4hy5cpGIgbkvk6MM1GIiJwJEzEiIioVcldMLEuz4/WFSWxZsIOIiKzPpKmJ4eHhZl/zJQgCLl68aFFQRERUwgQBmuo1DI+dkb5iYlkp1KFn68qJAgRU96lheGz9HTh/3yMisoRJiVh0dDSLbxARlWaennj073l7R1EsuW/mXJbY+l5ini6e+He4DftGKeh7RESWMCkRGzdunK3jMIiNjcWcOXNw6tQpeHl5oU+fPpg4cSJcXV0LXOfevXtYv349Dh8+jBs3bsDHxwctW7bE5MmTUbVqVcNyx44dw8svv5xn/Z49e2Lx4sU2OR4iIioZZXdE7HEJ+6wswMPDzgEREZFJLLqhs62kpqYiMjISQUFBiImJQVJSEubPn4/s7GzMmDGjwPUuXLiAffv2oX///mjcuDGSk5Px+eefY+DAgdi5cycCAgKMlp83bx5CQkIMz/39/W12TEREVDIe30Os7BTqAHQl7OVyEWlpAq5fZ+VEIiJnYVIitmPHDgBAnz59IAiC4XlR+vbta1YwmzdvhkKhwLJly+Dn5wcA0Gg0mDVrFqKiolCxYsV812vevDl+/fVXyGSPD6dZs2bo2LEjduzYgVdffdVo+dq1a6Nhw4ZmxUZEVKplZcGvz7MAgJQfdzvdsEpODnDrlr50fdlKRARBd53Y6dNSxMdbPxHLUmehz3Zd3/jxhd3wkFm5bzh53yMispRJidjUqVMhCAJ69uwJV1dXTJ06tch1BEEwOxE7ePAg2rZta0jCAKBHjx744IMPcPjwYfTr1y/f9eRyeZ7XKlWqhICAANy7d8+sGIiIyiStFi6nTxkeOxt96XpvbxGBgWVrRAzIfS8x61/PrRW1OH3/lOGx9Xfg3H2PiMhSJiViv/32GwAYrtPSP7e2uLg49O/f3+g1uVyOwMBAxMXFmbWt+Ph4PHz4EKGhoXneGzNmDFJSUhAYGIhevXphwoQJcHd3L1bsRERkP/rS9cHBZat0vZ5+FJAl7ImInIdJiVjughf5PbeWtLS0fEe3fH19kZqaavJ2RFHEnDlzUKFCBfTq1cvwuo+PD0aNGoWWLVvCzc0NR48exZdffom4uDisWrWqWLHLZPb/4yeVSoz+T9bF9rUttq/tFdrGuc5hMpnE6LkzSEiQAtAVrrDX+diefbhWLd3/r1+XWv34ZaJx37B6+5rY93iOsC22r22xfW3LWdu3WMU6NBoNLly4gFu3bgEAqlWrhvr160MqlVolOEvFxMTg6NGjWLNmDTw9PQ2v16tXD/Xq1TM8b9u2LSpUqIAPP/wQZ8+eRaNGjSzan0QiwN/fq9hxW4tczvn1tsT2tS22r+3l28a5CtP6+3sBXo5zTjPF7du6/9evL4O/v33rUNmjDzdpovv/9etSq/89clU+fuzv5wUvVyv3DTP7Hs8RtsX2tS22r205W/ta/Nfqhx9+wKJFi/Dw4UOIom4+viAICAgIwKRJkzBgwACztymXy5Genp7n9dTUVPj6+pq0ja1bt2L58uX46KOP0LZt2yKX79GjBz788EOcP3/e4kRMqxWRlpZp0brWJJVKIJd7IC0tCxoN59lbG9vXtti+tldoGysU0NePTU5WAMo8qzu0S5fcAUhRuXIOkpPVdonBnn24fHkA8MLNm0BiosKq9S4UKoXhcXKKAkoX621btwPT+h7PEbbF9rUttq9tOVL7yuUeJo/MWZSIbd68GTNnzkTdunUxduxYBAUFAdBdl7Vlyxa8//77UKlUGDJkiFnbDQkJyXMtWHp6Ou7fv29Ubr4g+/btw8yZMzF+/HiLEsHiUKsd5x+VRqN1qHhKG7avbbF9bS/fNs71XK3WGj13BvoiFTVrauzef+zRh319YShhHxsLhIdbb//qJ/qGWrDysZnZ93iOsC22r22xfW3L2drXokTsiy++QIsWLbBu3Tq4uDz+aaxNmzYYMGAAIiMjsWbNGrMTsfbt22PlypVG14rt3r0bEokE7dq1K3TdY8eOYfLkyRg4cCCio6NN3ucvv/wCACxnT0RlnrZcOXuHYBGlsuyWrtcTBN2xnzmjK2FvzUQMAMq527ZvOGvfIyIqDosSsQcPHuDVV181SsL0XFxc0KtXLyxcuNDs7Q4ePBgbN25EdHQ0oqKikJSUhAULFmDw4MFG9xCLjIxEYmIi9u3bBwCIjY1FdHQ0goKC0KdPH5w+fdqwbEBAAGrUqAEAmDJlCmrWrIl69eoZinWsX78eXbp0YSJGRGWblxceXoq3dxQWuXFDgFYrwNNTRIUKZa90vZ4+EbN2CXsvFy9cetWGfcOJ+x4RUXFYlIjVrVsX8fEFnzTj4+MRHh5u9nZ9fX2xYcMGzJ49G9HR0fDy8sKAAQMwadIko+W0Wi00Go3h+ZkzZ5Ceno709PQ8o3AvvPAC5s+fD0B3I+eff/4ZX375JVQqFapWrYrXXnsNY8aMMTtWIiJyDPqS7WW1dL1eSAhL2BMROROLErH3338fUVFRqF69Ol588UXDPbiys7OxefNm7N69G6tXr7YooNDQUKxfv77QZTZu3Gj0vF+/fgXe7Dm3qKgoREVFWRQXERE5prg4XeKhT0TKqqAgJmJERM7EpESsd+/eeV6TSCSYP38+Fi5ciAoVKgAA7t27B41Gg8DAQEydOhU//fSTdaMlIiLbyMqC75D+AIDUb7+HVcvu2VjuEbGyzFYjYlnqLAzZqesb3z73PTxkVu4bTtz3iIiKw6REzM/PL9/XatasafSarW70TERENqbVwvXvQ4bHzuRxIlZ2rw8DHh//7dsCsrOB/09WKTatqMXfiYcMj63OifseEVFxmJSIPTkVkIiIyFFwaqJO+fIifHxEpKcLSEiQICysbLcHEZGj40RyIiJyWkolcPNm2S5dr6cvYQ88Tk6JiMhxWVSsQ0+lUiEuLg7p6ekQxbxTQlq2bFmczRMRERXq1q3HpesrVizbUxMB3ajg2bNSxMeX4fKRREROwqJETKvV4tNPP8WmTZuQnZ1d4HKXLl2yODAiIqKi6Ed+goLKdul6PY6IERE5D4sSsZUrV2Lt2rV48cUX0bx5c7z99tuYMmUK5HI5Nm3aBEEQ8NZbb1k7ViIiIiOsmGhM3w4sYU9E5PgsOlNv374dPXr0wKxZs/D0008DAOrXr49BgwZh69atEAQBR48etWqgRERkW6KnJ0RPT3uHYRb9yA8TMR195URrJ2KeMk94ymzXN5yx7xERFZdFZ+q7d++iTZs2AABXV1cAgFKpNDx//vnn8eOPP1opRCIisjkvLzy4fhcPrt8FvLzsHY3J9AlHSAivDwMeV47Ul7C3Bi8XL1wfcxfXx9yFl4sN+oaT9j0iouKyKBHz8/NDZmYmAMDLywve3t64efOm0TJpaWnFj46IiKgQHBEzVr68CG9vEaKoK2FPRESOy6JrxOrVq4dz584Znrdu3RobNmxA3bp1IYoivvrqK4SFhVktSCIioiepVI9L15f1e4jpCYJx5UT+KSYiclwW/Vw2aNAgKJVKw3TESZMmIS0tDS+99BJeeuklKBQKTJ061aqBEhGRDWVnQz50AORDB8Bqc9ps7OZNARqNAA8Plq7PzdqVE7PV2Ri6cwCG7hyAbLUN+oYT9j0iImuwaESsc+fO6Ny5s+F5rVq1sH//fhw7dgxSqRRNmzaFn5+ftWIkIiJb02jgtn+v4bEzyF26XsJZeAb60UFrFezQiBrsv7HX8NjqnLDvERFZQ7Fu6Jybj48PunTpYq3NERERFUqfiHFaojHeS4yIyDkUKxH7448/cODAAdy+fRsAULVqVXTo0AHPPPOMVYIjIiIqCBOx/OlL2F+/zkSMiMiRWZSIpaWlITo6GidOnIBUKkVgYCAA4MiRI9iyZQtatGiB5cuXQy6XWzVYIiIivceJGK8Py00/InbrloCcHMDNzc4BERFRviz6ueyjjz7Cv//+iylTpuCff/7BH3/8gT/++AP//PMP3nzzTfz777/46KOPrB0rERGRAUfE8hcYKMLLiyXsiYgcnUUjYvv378fQoUMxcuRIo9c9PT0xatQo3LlzBzt27LBGfERERHkolboRH4CJ2JP0JezPndOVsK9Tx94RERFRfiz6qUwmkyE4OLjA90NCQiCTWa0OCBERkZGEBAm0WgFeXiIqVODUxCexYAcRkeOzKFvq3r07du/ejcGDB0MqlRq9p1ar8euvv+LZZ5+1SoBERFQCvLxw/16avaMwWXy8bjQsOFgLQbBzMA7ImiXsvVy8cO8NG/YNJ+t7RETWYlIiduHCBaPnzz//PD788EMMHjwYgwYNQs2aNQEACQkJ2LJlC1QqFXr37m39aImIiPB4pEc/8kPGOCJGROT4TErE+vfvD+GJnxxFUTcV5Ny5c4b39K8BwPDhw3Hp0iVrxUlERGTAQh2FYwl7IiLHZ1IiNm/ePFvHQURE9pSdDXn0GABA2vLVgLu7nQMqHBOxwlmzhH22OhvRv+n6xvLOq+Eus3LfcLK+R0RkLSYlYi+88IKt4yAiInvSaOD28w7d46Wf2zUUU+ivfdKP/JCxChV0JewVCgE3bkhQu7blCatG1ODn2B0AgKWdbNA3nKzvERFZS7HnLCgUCsTGxiI2NhYKhcIaMRERERUoO5ul64siCLmvE2M1EyIiR2RxjfmzZ89i4cKFOHnyJLRa3cleIpGgefPmeOutt9CwYUOrBUlERKSXkCCBKArw9hYRGMgRsYKEhGhx/rz0/6OHGnuHQ0RET7AoETtz5gyGDx8OFxcXDBgwAKGhoQCA2NhY/PLLL3jppZewceNGNGrUyKrBEhER5b4+jKXrC8bKiUREjs2iRGzx4sWoWLEiNm3ahMDAQKP3xo0bhyFDhmDx4sVYt26dVYIkIiLS00+147TEwlnzXmJERGR9Fp2dz5w5gxdffDFPEgYA5cuXx6BBg3D69OnixkZERJQHKyaaRl/IhIkYEZFjsujsLJFIoNEUPN9cq9VCIuGJn4iIrE9/b6ygICZihXmyhD0RETkWi7Klpk2b4ptvvsHt27fzvJeYmIhNmzahWbNmxQ6OiIhKiKcn7sffwf34O4Cnp72jKRRHxEyjL2Gv1epK2FvKU+aJ+NF3ED/6DjxlNugbTtT3iIisyaJrxCZPnoxhw4ahR48e6Nq1K4KCggAA8fHx+O233yCVSvHmm29aM04iIrIlQQC8vOwdRZGysoDbt/WJGCsmFkZfwl5XOVFA7dqWbkeAl4sN+4aT9D0iImuzKBGrV68evvvuOyxevBi///47srKyAAAeHh54+umnMXHiRNSqVcuqgRIREemnJcrlIsqVYyJWFH0iphtFZAl7IiJHYnYiplQq8ddff6Fq1apYvnw5tFotHj16BAAICAjgtWFERM4oJwc+UyYAANI/WQK4udk5oPyxdL15rFE5MUeTgyl/6vrGJx2XwE1q5b7hJH2PiMjazD4zu7i4YMKECTh16pRuAxIJypcvj/LlyzMJIyJyVmo13LdsgvuWTYBabe9oCsTrw8xjjXuJqbVqbLmyCVuubIJaa4O+4SR9j4jI2sw+MwuCgKCgICQnJ9siHiIiogLFx+uGwfQJBhWOJeyJiByXRWfmqKgofPPNN4iLi7N2PERERAXiiJh59O1065YApdLOwRARkRGLinWcOXMGfn5+6N27N1q1aoWqVavC3d09z3LvvfdesQMkIiLSYyJmngoVRHh6isjMFHDjhoBatVjghIjIUViUiH399deGx0eOHMl3GUEQmIgREZHVKBTA3bu6RIxTE02jL2F/4YIU8fES1KrFyolERI7CokTs8uXL1o6DiIioUPrS9X5+IgIC7ByME9EnYixhT0TkWHj1LhEROQVOS7SMNUrYExGR9Vk0IqZ39epVHDhwALdv3wYAVK1aFe3bt0dYWJjF24yNjcWcOXNw6tQpeHl5oU+fPpg4cSJcXV0LXOfevXtYv349Dh8+jBs3bsDHxwctW7bE5MmTUbVqVaNlk5KSMGfOHBw6dAguLi7o2rUrpk2bBm9vb4tjJiJyep6eeHAxzvDYEekTCU5LNI++cqKlJew9ZZ64+Eqc4bHVOUHfIyKyBYsSMaVSiRkzZuDHH3+EKIqG+4dptVosWrQIvXv3xpw5cwpNnvKTmpqKyMhIBAUFISYmBklJSZg/fz6ys7MxY8aMAte7cOEC9u3bh/79+6Nx48ZITk7G559/joEDB2Lnzp0I+P8cFpVKhVGjRgEAPv30U2RnZ+Pjjz/Gm2++iVWrVlnSFEREpYMgQCxf3t5RFCouTle6niNi5inuiJggCCjvYcO+4QR9j4jIFixKxBYuXIgdO3Zg6NCheOmll1CjRg0IgoCEhARs3LgR3377LXx9ffHuu++atd3NmzdDoVBg2bJl8PPzAwBoNBrMmjULUVFRqFixYr7rNW/eHL/++itksseH06xZM3Ts2BE7duzAq6++CgDYs2cPrl27hl27diEkJAQAIJfLMXLkSJw9exaNGjWyoDWIiKgkcGqiZfQjiDdv6krYm/kbKRER2YhFP4/99NNP6NOnD2bMmIGQkBDIZDJIpVKEhITggw8+QO/evfHTTz+Zvd2DBw+ibdu2hiQMAHr06AGtVovDhw8XuJ5cLjdKwgCgUqVKCAgIwL1794y2HxYWZkjCAKBdu3bw8/PDgQMHzI6XiKjUyMmB9zuT4f3OZCAnx97R5IuJmGUqVtSVsNdqBdy8KZi9fo4mB+8cnIx3Dk5GjsYGfcMJ+h4RkS1YlIip1Wo0bty4wPebNm0Kjcb8ykxxcXFGSRKgS7ICAwPNvnl0fHw8Hj58iNDQ0EK3LwgCgoODeXNqIirb1Gp4rFsDj3VrALXa3tHkkZEB3LvHa8QsIQhAUJCuzSy5TkytVWPd+TVYd34N1Fob9A0H73tERLZi0dTEiIgIHDp0CEOHDs33/b/++gvt2rUze7tpaWmQy+V5Xvf19UVqaqrJ2xFFEXPmzEGFChXQq1cvo+37+PgUe/v5kcnsX41KKpUY/Z+si+1rW2xf2yu0jXOdw2QyidFzR3Djhi6egAAR5cs7Vmx6jtyHQ0NFXLwIxMdLIZOZd1NnmWjcN6z+987EvufI7VsasH1ti+1rW87avhYlYhMmTMDEiRMxduxYDBs2DDVq1AAAJCQk4JtvvkFiYiIWL16MlJQUo/VyTzm0pZiYGBw9ehRr1qyBZwlUYJJIBPj7e9l8P6aSyz3sHUKpxva1Lbav7eXbxrmuG/L39wK8HOecBgB37uj+Hx7uWOfb/DhiH27QAPj5Z+DWLTf4+7uZta6r8vFjfz8veLlauf3N7HuO2L6lCdvXtti+tuVs7WtRItazZ08AuvL1v/32m9F7oqj7pS33SJTepUuXCt2uXC5Henp6ntdTU1Ph6+trUmxbt27F8uXL8dFHH6Ft27Z5tp+RkZHv9itXrmzS9vOj1YpIS8u0eH1rkUolkMs9kJaWBY2GU3esje1rW2xf2yu0jRUK+P//YXKyAlDmWd2uTp92AeCKoCAVkpMdLLj/c+Q+XK2aDIAbLlzQIDk526x1FSqF4XFyigJKFysHZ2Lfc+T2LQ3YvrbF9rUtR2pfudzD5JE5ixKx6OhoCIL5F/wWJSQkJM+1Wunp6bh//36ea7vys2/fPsycORPjx4/HgAED8t3+1atXjV4TRRHx8fEWTaXMTa12nH9UGo3WoeIpbdi+tsX2tb182zjXc7Vaa/TcEVy79rh0vaP3D0fsw8HBagBu+O8/wezY1E/0DbVg5WMzs+85YvuWJmxf22L72pazta9Fidi4ceOsHQcAoH379li5cqXRtWK7d++GRCIpMlE6duwYJk+ejIEDByI6OrrA7f/000+4fv06goKCAABHjhxBSkoKOnToYNVjISIi64mN1f26WKuW8/yBdSShobp2u3NHgowMwNvbzgEREZFlVRNtZfDgwfDy8kJ0dDQOHTqE77//HgsWLMDgwYON7iEWGRmJrl27Gp7HxsYiOjoaQUFB6NOnD06fPm3478aNG4blunfvjtq1a2PcuHH4448/sGvXLkyfPh0dO3bkPcSIiByUKAL//af7c6VPKMg8/v5AuXKWV04kIiLrs2hEzFZ8fX2xYcMGzJ49G9HR0fDy8sKAAQMwadIko+W0Wq1RefwzZ84gPT0d6enpGDJkiNGyL7zwAubPnw8AcHFxwZo1azBnzhxMnjwZMpkMXbt2xfTp021/cEREjszDAw9PnDM8diRJSQIUCgESiWgow07mCw3V4uFDCf77T4JGjUxvRw+ZB068dM7w2OocuO8REdmSQyViABAaGor169cXuszGjRuNnvfr1w/9+vUzafsVK1ZETEyMpeEREZVOEgm0NWraO4p86acl1qghws28gn+US61aWvzzz+P2NJVEkKCG3IZ9w4H7HhGRLXF+AhEROTT9tEReH1Y8oaG6qsbmJmJERGQbDjciRkREdqBUwmvuhwAAxfQZgKtrESuUHF4fZh36RFbfnqZSapSYe0zXN6a3ngFXqZX7hgP3PSIiW+LPYkREBKhU8FyxFJ4rlgIqlb2jMaIfwWEiVjz69ouNleD/t/w0iUqrworTS7Hi9FKotDboGw7c94iIbMniRCwjIwOrV6/GyJEj0bdvX5w9exYAkJKSgnXr1iEhIcFqQRIRUdnF0vXWERSkhVQqQqEQkJRk/XuBEhGReSxKxO7evYu+ffti6dKluHv3Lq5cuQKFQgEA8PPzw+bNm/MU1CAiIjKXUgncuKFLGpiIFY+rq67gCWD+9EQiIrI+i87ECxYsgEKhwI4dO7Bx40aIT8xx6NKlC44cOWKVAImIqOy6fl0CjUaAl5eIihXNmE9H+bL0OjEiIrI+i87Ehw8fxvDhw1GrVi0IQt7pDdWrV8edO3eKHRwREZVtuQt15PPnhswUEvL4OjEiIrIvi87E2dnZCAgIKPB9/TRFIiKi4mDpeuviiBgRkeOw6EwcGhqK48ePF/j+/v37Ua9ePYuDIiIiAoC4ON0wGCsmWoc+EeOIGBGR/Vl0H7HIyEhMnToVYWFh6NGjBwBAFEUkJCRg2bJlOH36NGJiYqwaKBER2ZCHBx4dPGZ47Cg4ImZd+na8cUNATg7g5lb0Oh4yDxwcfMzw2OoctO8REdmaRYlYnz59kJiYiCVLluCzzz4DAIwaNQqiKEIikWDSpEno0qWLNeMkIiJbkkigCa9r7yjyYOl666pQQYS3t4iMDAHXr0sQFlZ0u0oECcIDbNg3HLTvERHZmkWJGAC8/vrr6NOnD/bu3YuEhARotVrUqFED3bp1Q/Xq1a0ZIxERlUHJycDDh7pELDiYiZg1CIJumueZM1L8959piRgREdmGxYkYAFSpUgUjRoywUihERGQ3SiU8P/sEAJA5cYruplN2ph8Nq1xZC29vOwdTiugTMVOvE1NqlPjsX13fmNh8ClylVu4bDtj3iIhKQrESMSIiKiVUKnh9Mh8AkBk9wSG+DPP6MNswt2CHSqvCJyd0fSO66QTrJ2IO2PeIiEqCSYlYeHh4vvcLK8qlS5fMXoeIiAh4nCiwYqJ1sYQ9EZFjMCkRi46OzpOI7du3D//99x8iIiIQHBwMAIiLi8Phw4dRu3ZtFusgIqJiyX0zZ7IefXvGxvIO2URE9mRSIjZu3Dij51u2bMHDhw/x888/IyQkxOi92NhYREZGokKFCtaLkoiIypxr13SJWO3aTMSsKTRUC0EQ8eiRBA8eCChfXrR3SEREZZJF8xLWrl2Ll156KU8SBuhu9jxs2DCsWbOm2MEREVHZpFIBcXG6P1F16jARsyZPT6B6dV3ypU92iYio5Fl0Br579y5ksoIH02QyGe7evWtxUEREVLZdvy6BWi3A01NE1aocsbE2/Sjj1atMxIiI7MWiM3Dt2rWxadMmJCUl5Xnv7t27+Pbbb1GnTp1iB0dERGWTPkGoXVsLC2pFURH0iRhHxIiI7Mei8vXTpk3DqFGj0L17d3Tp0gU1a9YEAFy/fh2//fYbRFHEggULrBooERHZkLs7kvf8YXhsb7w+zLb00z1NGRFzl7pjT/8/DI+tzsH6HhFRSbEoEWvRogW2bt2KJUuWYP/+/cjOzgYAuLu7IyIiAuPGjUNYWJhVAyUiIhuSSqFu2tzeURhcuaJLEMLCmIjZQp06GgCmJWJSiRRNK9qwbzhY3yMiKikW39C5Tp06WL58ObRaLR49egQACAgIgETCaQ5ERFQ8HBGzLf2IWGKiBBkZgLe3nQMiIiqDip01SSQSlC9fHuXLl2cSRkTkrJRKeCxbAo9lSwCl0q6haLWP7yGmH7kh6/LzAwIDTbtOTKlRYtmpJVh2agmUGhv0DQfqe0REJcniETEiIipFVCp4f/g+ACDrlVGAq6vdQrl9W0BmpgAXFxFBQayYaCt16mhx/74EV69K0LRpwSOPKq0KHx7R9Y1XGoyCq9TKfcOB+h4RUUniEBYRETkU/QhNSIgWhdwphYqJlROJiOyLZ18iInIouUvXk+2YUzmRiIisj2dfIiJyKPrEQJ8okG08TsSkdo6EiKhsYiJGREQOhYlYydC37/XrAnJy7BwMEVEZZHEilpGRgdWrV2PkyJHo27cvzp49CwBISUnBunXrkJCQYLUgiYiobBBF4No13QgNpybaVsWKInx8RGi1AuLi+LssEVFJK/LMm5SUlOe1u3fvom/fvli6dCnu3r2LK1euQKFQAAD8/PywefNmbNy40frREhFRqfbggYDkZAGCIKJWLSZitiQIj0fFWLCDiKjkFVmP6rvvvkN6ejqmTZtmeG3BggVQKBTYsWMHAgIC8NRTTxmt06VLF/z5559WD5aIiGzE3R0p238xPLYXfUJQvboIDw+7hVFm1K6txb//Sgst2OEudcf2Pr8YHludg/Q9IqKSVmQi1rVrV4wdOxZJSUlYsGABXF1dcfjwYURGRqJWrVpITk7Os0716tVx584dmwRMREQ2IJVC1e5pe0fB68NKmCkl7KUSKdpVtWHfcJC+R0RU0oqcixAWFoYffvgBGo0G69evBwBkZ2cjICCgwHX00xSJiIjMwUSsZIWFaQAAV65waiIRUUkz6czr4+ODmJgY9OrVCwAQGhqK48ePF7j8/v37Ua9ePetESEREtqdSwX3tarivXQ2oVHYL43EiprFbDGWJfkQsNlYCTQFNrtKosPbcaqw9txoqjQ36hoP0PSKikmbWT2BVq1YFAERGRmLXrl1YvXo1MjIyAACiKCIhIQFvvfUWTp8+jREjRlg9WCIishGlEj7TpsBn2hRAqbRbGPopcqyYWDJq1BDh5iYiJ0fAjRtCvssotUpM+2sKpv01BUqtDfqGg/Q9IqKSVuQ1Yvnp06cPEhMTsWTJEnz22WcAgFGjRkEURUgkEkyaNAldunSxZpxERFTKpacDd+5wamJJkkqB0FAtLl6U4to1CYKDORJJRFRSLErEAOD1119Hnz59sHfvXiQkJECr1aJGjRro1q0bqlevbs0YiYioDNCPhlWooIWvr52DKUPq1NElYleuSNGtGxMxIqKSYlEilpiYiICAAFSpUiXfKYjZ2dl49OgRqlSpUtz4iIiojLh8WZeIhYdzNKwk6dubBTuIiEqWRWfdzp07Y9++fQW+//vvv6Nz584WB0VERGXPpUtSAEDdukzESpI+Ebt0iYkYEVFJsuisK4pioe+rVCpIJDyhExGR6fSJAEfESlZ4uG464tWrBVdOJCIi6zN5amJGRgbS0tIMz1NSUpCYmJhnubS0NOzatQuBgYEWBRQbG4s5c+bg1KlT8PLyQp8+fTBx4kS4uroWut4333yDgwcP4syZM0hOTsaSJUvw7LPPGi1z7NgxvPzyy3nW7dmzJxYvXmxRvEREZB36qYl16zIbKElBQSI8PERkZQm4fl1AaGjhP7YSEZF1mJyIrV+/HsuXLwcACIKAuXPnYu7cufkuK4oiJk6caHYwqampiIyMRFBQEGJiYpCUlIT58+cjOzsbM2bMKHTdH3/8EQDQoUMH7Nixo9Bl582bh5CQEMNzf39/s2MlIipV3NyQ+s1Ww+OS9vChgHv3WDHRHiQSICxMi9Onpbh0SYrQULXR+25SN3zTc6vhsdXZue8REdmLyYlYu3bt4OnpCVEUsXDhQvTq1Qv169c3WkYQBHh4eKB+/fpo2LCh2cFs3rwZCoUCy5Ytg5+fHwBAo9Fg1qxZiIqKQsWKFQtdVyKR4NatW0UmYrVr17YoPiKiUksmg7Lrs0UvZyP60bAaNbTw9rZbGGVWeLg+EZPgueeM35NJZOgaZMO+Yee+R0RkLyYnYk2bNkXTpk0BAFlZWejatSvCwsKsGszBgwfRtm1bQxIGAD169MAHH3yAw4cPo1+/fgWuy2vSiIic1+NpiRwNswfddWIuhs+BiIhsz6Ly9WPHjrV2HACAuLg49O/f3+g1uVyOwMBAxMXFWW0/Y8aMQUpKCgIDA9GrVy9MmDAB7u7uVts+EZHTUang9r1uelhO/0GAi0uJ7l5fqIPXh9mHPgHOLxFTaVT4/pqub/SvPQguUiv3DTv3PSIiezEpEVu2bBkEQcDrr78OiUSCZcuWFbmOIAiIjo42K5i0tDTI5fI8r/v6+iI1NdWsbeXHx8cHo0aNQsuWLeHm5oajR4/iyy+/RFxcHFatWlWsbctk9v8VUSqVGP2frIvta1tsX9srtI1z1JCPfx0AkPxCP0BWstfqXLmiK11fv77oEOdTSzhzH27QQPf/uDgJ1GoJcv82mSOqMf53Xd94IawfZNbuGyb2PWduX2fA9rUttq9tOWv7mpWIjR49Gq6urjZLxGytXr16qFevnuF527ZtUaFCBXz44Yc4e/YsGjVqZNF2JRIB/v5e1gqz2ORyD3uHUKqxfW2L7Wt7+bZxrsK0/v5egFfJndNEEbh8Wfe4dWt3OHv9JGfsw35+gL8/kJwsICnJC02aPH7PVfn4sb+fF7xcrdw3zOx7zti+zoTta1tsX9tytvY1KRG7rP8LWcBza5HL5UhPT8/zempqKnx9fW2yzx49euDDDz/E+fPnLU7EtFoRaWmZVo7MfFKpBHK5B9LSsqDR8DoLa2P72hbb1/YKbWOFAvr8JzlZASjzrG4zt24JSE31hEwmokKFTCQnl9y+rcnZ+3B4uDuOHJHi2LFs1Kz5eIqoQqUwPE5OUUBp7ZmDJvY9Z29fR8f2tS22r205UvvK5R4mj8xZdI2YrYSEhOS5Fiw9PR337983KjfviNRqx/lHpdFoHSqe0obta1tsX9vLt41zPVertUbPbe3CBd20xFq1tJBItFCri1jBwTlrHw4P1+DIESkuXBCM4n/ysVqw8rGZ2fectX2dBdvXtti+tuVs7Wu1iZRZWVnYtm0bNm3ahNu3b1u0jfbt2+Pvv/82unH07t27IZFI0K5dO2uFauSXX34BAJazJyKyk4sXdYlYeLjz/PEsjfTtf+mS1M6REBGVDRaNiE2fPh1nz57Fzp07AQBKpRKDBg3CtWvXAOiKYmzYsMHoeixTDB48GBs3bkR0dDSioqKQlJSEBQsWYPDgwUb3EIuMjERiYiL27dtneO3cuXO4ffs2Hj16BAA4c+YMACAgIACtWrUCAEyZMgU1a9ZEvXr1DMU61q9fjy5dujARIyKyE32lPiZi9lVY5UQiIrI+ixKxY8eO4fnnnzc837lzJ65du4ZPPvkE4eHhGDduHJYtW4YVK1aYtV1fX19s2LABs2fPRnR0NLy8vDBgwABMmjTJaDmtVguNxrjE8TfffIPt27cbnn/55ZcAgFatWmHjxo0AdDdy/vnnn/Hll19CpVKhatWqeO211zBmzBiz4iQiIuthIuYYdPcSA27dkiA9HfDxsXNARESlnEWJ2IMHD1C1alXD8/3796NBgwZ47rnnAACDBg3C2rVrLQooNDQU69evL3QZfWKV2/z58zF//vxC14uKikJUVJRFcRERlWpubkhds8HwuKRoNMDVq7yHmCPw8wMqV9bizh0JLl+WoGVLXWLsJnXDmm4bDI+tzk59j4jI3ixKxDw8PAzVDdVqNf755x+89NJLhve9vLzyrX5IREQOSiaD8vkXSny38fECcnIEeHiIqFlTLPH9k7HwcF0idumS1JCIySQyPF/Lhn3DTn2PiMjeLJoIXr9+fWzduhUXL17EypUroVAo0KlTJ8P7N27cQLly5awWJBERlU76whBhYVpIeGmS3emnh/I6MSIi27NoRGzixIkYNWoU+vfvD1EU0b17d6N7cO3btw/NmjWzWpBERGRjajVcd/0MAFD27A3ISubuJrw+zLHop4fmTsTUWjV2xen6Rs+Q3pBJrNw37NT3iIjszaKzXcOGDfHrr7/i5MmTkMvlhqqEAJCWloahQ4cavUZERA4uJwe+oyIBAPfj75TYl+FLl3h9mCPRV068dEkCUQQEAcjR5GDUXl3fiB99x/qJmJ36HhGRvVl8tgsICECXLl3yvC6XyxEZGVmsoIiIqGzgPcQcS506WkgkIh4+lODePQEVK/K6PSIiWynWz04ZGRlITExEWloaRDHvybply5bF2TwREZViGRm6Yh0A0LAhEzFH4OEB1KqlxdWrUpw/L0HFihypJCKyFYsSseTkZMyePRt79+7Ncz8vABBFEYIg4NKlS8UOkIiISqcLF6QQRQGVK2tRvjxHXhxFgwa6ROzcOSk6d2YiRkRkKxYlYu+//z7++OMPDB8+HC1atIBcLrd2XEREVMqdP6+7PqxBA46GOZIGDTT44QcXw+dDRES2YVEidvjwYURGRuLtt9+2djxERFRGXLigT8Q46uJI9Inx+fNSO0dCRFS6WfRzl7u7O6pWrWrtWIiIqAzRf9HniJhjqV9f93nExwvIyLBzMEREpZhFI2LPP/889u/fj2HDhlk7HiIisgdXV6Qt/dzw2NbU6sel6+vX54iYIwkMFFGpkhZ370pw8aIETZu7YmknXd9wldigb5Rw3yMichQWJWLdu3fH8ePHMXLkSLz44ouoVKkSpNK8Uxjq169f7ACJiKgEuLggZ3DJ/bj2338S5OQI8PYWERTEQh2OpkEDXSJ2/rwUrVq5YPD/2rvv+Kiq9H/gn3unpJFJgRBagCRCCFJCkWIoggSJgIgibWWjQAyKqJT9KYigK6vIylcpriJlAVdAlCYhhCIIhCrSBKRIAoQWSsokk0wy5f7+GDIwpCczmZLP+/XKi8mZe+88c/IwM8/cc85tYcPcqObcIyJyFJUqxEaOHGm+feDAgSL3c9VEIiIqTeFCEI8/boDINSEcTuvWBuzcKTfP4yMiIuurVCH26aefWjsOIiKyJ70eyt07AQAFvfoA8ipdZrJMf/zB+WGOrPDv8scfMuiNeuy+asqNXo37QC5aOTeqOfeIiBxFpV7tBg8ebO04iIjInvLz4fO3oQCAOyk3bf5hmEvXO7bCeXt//ikiNz8ff0sw5UZK7E3rF2LVnHtERI6iymMObt++jXPnziE3N9ca8RARkYuTJC5d7+iaNpXg5SUhP1/ApWQOTyQisoVKv7ru3LkT/fr1Q8+ePTF48GCcPHkSAJCeno7nn38eO3bssFqQRETkOm7eFJCeLkImkxAWxjNijkgUH5wVO3uWhRgRkS1U6tV1165dmDBhAvz8/DB+/HhI0oMVr/z9/REYGIj169dbLUgiInIdhcMSmzc3wt3dzsFQiVq3NhXJZ8/wws5ERLZQqULsq6++QseOHbF69epiryUWERHBFROJiKhYvJCzcyj8+/CMGBGRbVTq1fXixYuIjo4u8f46derg3r17lQ6KiIhc1x9/cH6YMyj8+7AQIyKyjUq9unp4eCAvL6/E+1NTU+Hr61vZmIiIyIXxjJhzCAszQiaTkJHBQoyIyBYqtUZs586dsXHjRsTExBS5786dO1i7di169epV5eCIiKiaKJXI/vRz821bUauBK1d4RswZuLub5vH9eV6JmDr/hxbhRihFG+RGNeUeEZGjqVQh9s4772DYsGEYMmQI+vXrB0EQkJSUhEOHDuGHH36AJEkYP368tWMlIiJbUSigHfOazR/mzP2FHxo2NMLPz+YPR1XUqpURf/6pQL3UNzBmaIFtHqSaco+IyNFUarxBSEgIVq1aBV9fX8ybNw+SJGHp0qVYtGgRmjdvjlWrVqFRo0bWjpWIiJzciROmt502bXg2zBkU/p1OnuTwRCIia6v05eubNWuG5cuXIysrC1euXIEkSQgKCoK/v7814yMioupgMEBx6AAAQNflSUBmmyXLT5wwHbddO84PcwYREUZAMOBw2j7sv65Fl/pPQiZaOTeqKfeIiBxNpQuxQj4+PmjTpo01YiEiInvRauE7uD8A4E7KTcDLyyYPc/y46UN2RATPiDmD1q0NEN3ykDHoaQzeBKTE3oSXaOXcqKbcIyJyNBUuxAoKCrBp0ybs378fV69ehUajgZeXF5o0aYLu3btjwIABUHKyLRERPSIjA7h82TTEjYWYc/D0BJo3M+KcvQMhInJBFSrEzp8/jzfeeAM3btyAJEnw9vaGp6cn0tPTcfbsWSQmJuKbb77B119/jdDQUFvFTERETqhwWGJwsBG8wonzaNvWwEKMiMgGyl2IaTQavP7660hPT8fEiRMxaNAgBAYGmu9PS0vDxo0b8fXXX2PcuHHYtGkTPD09bRI0ERE5nwfzw3g2zJm0aWPED7n2joKIyPWUexmk9evX4+bNm1i0aBFee+01iyIMAAIDAxEXF4evv/4a165dw4YNG6weLBEROa/jxzks0Rm1afvg7yVJdgyEiMjFlLsQ+/XXXxEZGYnOnTuXul3Xrl3x5JNPYteuXVUOjoiIXEfhGbGICK6Y6ExahD34e125LNgxEiIi11LuQuzChQvo1KlTubbt0qULLly4UOmgiIjItdy8KeDWLRGiKKF1a54RcyZyxYPbJ09xaXkiImsp9xyxrKwsBAQElGvbOnXqICsrq9JBERFRNVMokDPjY/Ntaytctj4szMjVyZ2MQlTgicxP8NsROU63dgeGWHl8oo1zj4jIUZW7ECsoKIBcXr7NZTIZdDpdpYMiIqJqplQi7823bXb4EydMAzC4UIfzUcqU+HvoO/jtSw+c0usB5Fn5AWybe0REjqpCy9dfv34dZ86cKXO7a9euVTogIiJyPQ8u5Mz5Yc6oXTvT3+2PP2TQ64Fyfi9LRESlqNBL6bx58zBv3rwyt5MkCYLACb1ERE7DYID81AkAgL5NBCCz3lwgSQJOnuTS9c7KYDQgW/U7PB7zRN6lDjh/XsTjj1uxoLZh7hERObJyF2KffvqpLeMgIiJ70mrh90wvAMCdlJuw5kSulBQBmZkClEoJ4eE8I+ZstAYtotf3Al4G8K8cnDghs24hZsPcIyJyZOUuxAYPHmzLOIiIyEUVLlvfqpURSqWdg6EqO35cxN/+Zu8oiIicX7mXryciIqqMB/PDOCzRFRQW1kREVDUsxIiIyKYKV0xkIeYazp4VodXaOwoiIufHQoyIiGymoODBQh0dO7IQc3Z16hih1ws8K0ZEZAUOV4hdunQJr776KiIiIhAZGYk5c+agoKCgzP2+//57xMXFoUuXLggLC0NiYmKx26WlpWHChAlo164dOnXqhPfffx85OTnWfhpERATg1CkRWq2A2rWNCA218oWAqdp1uF9MHznCQoyIqKocqhDLyspCTEwMdDodFixYgIkTJ2Lt2rWYPXt2mftu2rQJGRkZ6NmzZ4nb6HQ6jB07FpcvX8bcuXPx4YcfIikpCZMnT7bm0yAiovsKP7A/8YQBvKqJ8+vYwVSI/fYbCzEioqpyqEsyrlmzBhqNBgsXLoSvry8AwGAw4KOPPkJcXBwCAwNL3VcURVy7dg0bN24sdptt27bh4sWLSEhIQEhICABApVJhzJgxOHXqFNq0aWPtp0RE5BwUCmimvGe+bS0PCjEuW++sFKICUzqacqOzYPr+9rffREgSrFNc2yj3iIgcnUMVYnv37kXXrl3NRRgAREdHY+bMmdi/fz9eeOGFEvcVxbJP7u3duxdhYWHmIgwAIiMj4evriz179rAQI6KaS6lE7v+bZtVDStKDQqxTJ84Pc1ZKmRL/r5MpNwoKAHd3CenpIv76S0SzZlYosG2Qe0REzsChhiYmJydbFEmA6YxVQEAAkpOTbXJ8QRAQHBxsleMTEdEDKSkC7t4VoVRKaNuWhZgrUCqBdu04T4yIyBoc6oyYWq2GSqUq0u7j44OsrCyrHN/b29smx5fL7V/TymSixb9kXexf22L/2l6pfWw0Qjx/znQzrAVQjlEGZfn9d9NbTESEEbVquf7f1VVz2CgZcT7dlBth/i3QpYsRBw+a5onFxFihwC5n7rlq/zoK9q9tsX9ty1n716EKMWcligL8/LzsHYaZSuVh7xBcGvvXtti/tldsH2s0QGQn0+2cHMCr6q9pJ06Y/u3ZU+ZQr5G25mo5rCnQIHKBKTdypubg6aeV+OIL4OhRBfz8rDCnq4K552r962jYv7bF/rUtZ+tfhyrEVCoVsrOzi7RnZWXBx8fHKscvbqn6rKws1K9fv9LHNRolqNW5VQnNKmQyESqVB9TqPBgMnBhvbexf22L/2l6pfazRwO/+zYwMDVD2VUPKtHevBwARbdtqkZHh+kMTXTWHNTqN+XZGpgbh4QDghQsXgIsXNahTp6oPUL7cc9X+dRTsX9ti/9qWI/WvSuVR7jNzDlWIhYSEFJmrlZ2djTt37hSZ21XZ41+4cMGiTZIkpKSkIDIyskrH1usd5z+VwWB0qHhcDfvXtti/tldsHz/0u15vtPi9MjIygPPnTW9E7dvrodfXnGuIuVoO6x/JDW9vI8LCDDh/XoaDB0VER+ur+AAVyz1X619Hw/61LfavbTlb/zrUQMoePXrgwIEDUKvV5rbExESIoljlQqnw+OfOncPly5fNbQcPHkRmZmap1x8jIqKKOXrUtJBDaKgRderUnCKspihcBZMLdhARVZ5DFWLDhw+Hl5cXxo8fj6SkJKxbtw5z5szB8OHDLa4hFhMTg6ioKIt9//jjDyQmJmLv3r0AgJMnTyIxMRFHjhwxb/PMM8+gWbNmmDBhAnbv3o2EhARMmzYNTz31FJeuJyKyIi5b79qeeIKFGBFRVTnU0EQfHx+sWLECH3/8McaPHw8vLy8MGTIEEydOtNjOaDTCYLB8c//++++xYcMG8+/Lli0DAHTq1AnfffcdAEChUGDJkiWYNWsWJk2aBLlcjqioKEybxuuXEBFZEwsx11b4dz15UoRWC7i72zkgIiIn5FCFGACEhoZi+fLlpW5TWFg9bPbs2Zg9e3aZxw8MDMSCBQsqGx4REZWhoAA4fpyFmCsLDpZQp44Rd++KOHlShs6d+XcmIqoohyvEiIjIDhQK5L7xlvl2VfzxhwitVoC/vxGPPeY8k6apeApRgTci3jLfBgBBMBXZCQkijhypYiFmxdwjInImLMSIiAhQKqH5cJZVDnXggOmtpVMnAwTBKockO1LKlPjwyaK50bmzAQkJChw8KMOECVV5AOvlHhGRM3GoxTqIiMj5JSWZhiV268bhaq6s8O978KAMOp2dgyEickIsxIiICDAaIV69AvHqFcBY+eGEBQXA4cMsxFyJUTLiqvoKrqqvwCg9yI3HHzfC398IjUbA8eNV+DhhpdwjInI2LMSIiAjIy0Ptjq1Ru2NrIC+v0oc5dkyG3FwBdeoYER7OD9WuIE+fh47/a42O/2uNPP2D3BBFIDLSVGwnJVVhpoOVco+IyNmwECMiIqvZt+/B2TDOD3N9hWc9C4ejEhFR+bEQIyIiq+H8sJqle3c9AOC332Q8mUVEVEEsxIiIyCo0GuDo0cJCTG/naKg6hIZKqFfPiPx8Ab/9xrNiREQVwUKMiIis4sgRGXQ6AQ0bGhEcLNk7HKoGgsDhiURElcVCjIiIrKLwg3j37pwfVpP06GE6+7lvHy9NSkRUESzEiIjIKgo/iHNYYs1SuHLiiRMisrPtHAwRkRPh11dERATI5ch7daz5dkVlZgKnTpm+2+NCHa5FLsrxaqux5tuPCgqS0LSpEZcvizh4UIa+fSv4969i7hEROSu+4hEREeDmhpzP/q/Sux88KIfRKCA01IgGDTg/zJW4ydzwWY/Sc6N7dz0uX1Zi3z55xQuxKuYeEZGz4tBEIiKqssLrhxUuZ041S/fupuKrMA+IiKhsLMSIiAiQJAh370K4exeQKn5G60EhxmGJrkaSJNzNu4u7eXchlZAbTz5p+rufPSvDnTsVXKmlirlHROSsWIgRERGQm4s6LUNQp2UIkJtboV1TUwWcPy+DKEpcqMMF5epz0fK/IWj53xDk6ovPjbp1JTz+uKkY27WrgmfFqpB7RETOjIUYERFVyY4dpunGHTsa4Odn52DIbqKiTEX4zp2cfk5EVB4sxIiIqEp++cX0wTsqisMSa7I+fUyF2O7dcuh0dg6GiMgJsBAjIqJKy8t7cCHnwg/iVDN16GCEv78RarWAo0e5aAcRUVlYiBERUaXt3y9DXp6ABg2MaNnSaO9wyI5kMqBXL9NZ0R07WIgREZWFhRgREVVa4fywPn30ECq4WB65Hs4TIyIqPxZiRERUKZL04AN34Qdwqtl69dJDFCWcOydDaiorcyKi0vArKyIiAuRyaIeNNN8uj/PnRaSminBzk9CtGxfqcFVyUY5hYSPNt0vj5wc88YQBhw/LsWOHHKNHl2PVjkrkHhGRK+ArHhERAW5uyF7wTYV2KRyWGBlpgJeXLYIiR+Amc8OCp8ufG1FRpkJs585yFmKVyD0iIlfAoYlERFQpO3eaFmTgsER6WOHqmUlJMl6fmYioFCzEiIjINOFLozH9SFKZm2dlAUeOcNn6mkCSJGh0Gmh0GkjlyI3wcCMaNjRCqxWwf385Vk+sYO4REbkKFmJERATk5iIguD4CguujPKcxdu+Ww2AQ0Ly5AU2a8MOzK8vV5yJ4cX0EL66PXH3ZuSEID4rz7dvLMQOigrlHROQqWIgREVGFJSSYPmA/8wzPhlFR0dGmvEhIkMPAdVyIiIrFQoyIiCpEq32wUMeAASzEqKju3Q3w9ZVw546IQ4d4cWciouKwECMiogr59VcZNBoBDRsaERFhtHc45IAUigdnxX7+mQs0ExEVh4UYERFVSHy8AgDQv78eAq/ZSyUYNMi0dH18PIcnEhEVh4UYERGVW0EBsG2b6QxH//4clkgl4/BEIqLSsRAjIqJy27dPhqwsAXXqGNGpE09zUMk4PJGIqHR8ZSQiIkAmQ/7A5823S7Jhg2lY4nPP6UvbjFyITJBhYOjz5tsVMWiQDqtXKxAfL8cnn+QXnzPlzD0iIlfDQoyIiAB3d6iXrix1E632wbL1gwdzWGJN4S53x9JnSs+Nkjw6PDEyspizqOXIPSIiV8ShiUREVC47d8qRk2NaLfGJJzgskcrG4YlERCVjIUZEROWycaPpg/SgQXqIfPegcuLqiURExeNbKRERARoNAuqqEFBXBWg0Re5Wq4Ht202F2PPP66o7OrIjjU6Duv9Roe5/VNDoiuZGWR4enpiUVMwcsDJyj4jIVbEQIyKiMm3erIBWK6BZMwPatuVFnKn8FIoHZ8XWrlXYORoiIsfBQoyIiMr0ww+ms2HDhvEizlRxw4aZCrEtW+TIybFzMEREDoKFGBERleryZQGHDskhCBKGDOGwRKq4Dh2MCAkxIjdXQHw8F+0gIgIcsBC7dOkSXn31VURERCAyMhJz5sxBQUFBmftJkoRvv/0WTz31FNq0aYNhw4bhxIkTFtscPnwYYWFhRX4mTpxoo2dDROT8fvzRNJysRw8DGjSQ7BwNOSNBeHBWjMMTiYhMHOprqaysLMTExKBp06ZYsGAB0tLSMHv2bGi1WsyYMaPUfRcvXoz58+djypQpCAsLw/fff4/Ro0dj06ZNCAoKstj2008/RUhIiPl3Pz8/mzwfIiJnZzQCa9aYPjgPHcqzYVR5L72kw+zZSiQlyZGSIiA4mEU9EdVsDlWIrVmzBhqNBgsXLoSvry8AwGAw4KOPPkJcXBwCAwOL3S8/Px+LFi3C6NGj8corrwAAOnTogH79+mHp0qX48MMPLbZv1qwZWrdubcNnQkTkGn79VYbUVBE+PhIGDOBFnKnyGjWS8NRTBuzeLceqVQq8/37Zo12IiFyZQw1N3Lt3L7p27WouwgAgOjoaRqMR+/fvL3G/Y8eOIScnB9HR0eY2pVKJqKgo7N2715YhExG5BpkM+X36Ir9PX0D2YInx//3PdDbspZd08PCwV3BkTzJBhj6N+6JP476QCcUsP18BL79sOqu6erUCusITrCXkHhGRq3OoM2LJycl48cUXLdpUKhUCAgKQnJxc6n4ALIYbAkBoaChWrFgBrVYLd3d3c/trr72GzMxMBAQEoH///nj77bct7iciqnHc3aFe9ZNF0+3bAhITTW8ThR+gqeZxl7tj1YCfyt6wHPr10yMgwIjbt0Xs2CHHs8/qi809IqKawKEKMbVaDZVKVaTdx8cHWVlZpe6nVCrh5uZm0a5SqSBJErKysuDu7g5vb2+MHTsWTzzxBNzc3HDo0CEsW7YMycnJWLRoUZVil8vtf3JRJhMt/iXrYv/aFvvX9irax2vXKqDXC+jY0YA2bQAHG0ThcJjDZZPLgZEj9Zg3T4mVKxV47rnyX5OO/Wtb7F/bYv/alrP2r0MVYrbWsmVLtGzZ0vx7165dUbduXfzzn//EqVOn0Mb0SaPCRFGAn5+XtcKsMpWK44dsif1rW+xf2ytPH+v1wH//a7r95psyh3qNc3TM4dK99RYwfz6wa5ccd+7I0bx5xfZn/9oW+9e22L+25Wz961CFmEqlQnZ2dpH2rKws+Pj4lLpfQUEB8vPzLc6KqdVqCIJQ6r7R0dH45z//idOnT1e6EDMaJajVuZXa15pkMhEqlQfU6jwYDOX/lpHKh/1rW+xf2yu1jzUa+IYFAwAyz6dg8y4VUlPdUbu2hL59c5GRYYeAnYyr5rBGp0HYYlNunI9NgZeiakW5nx/Qt68btm2TY+5cHWZ/kGGRe/Aq/viu2r+Ogv1rW+xf23Kk/lWpPMp9Zs6hCrGQkJAic8Gys7Nx586dIvO/Ht0PAFJSUtCiRQtze3JyMho0aFAt87/0esf5T2UwGB0qHlfD/rUt9q/tFdvHeiOEXNMXSnq9Ed9+a3p7GDWqAHK5EXoumFhurpbDer0RufoHuaEXqv7cRo8uwLZtcqxaJcfUt4zweyj3UEbfuVr/Ohr2r22xf23L2frXoQZS9ujRAwcOHIBarTa3JSYmQhRFREZGlrhf+/btUatWLWzdutXcptPpsH37dvTo0aPUx9yyZQsAcDl7IqL7/vxTxP79cshkEl55hYt0kPX17GnAY48ZkJMj4KefeIFnIqqZHOqM2PDhw/Hdd99h/PjxiIuLQ1paGubMmYPhw4dbXEMsJiYGN27cwI4dOwAAbm5uiIuLw4IFC+Dv74/mzZtj9erVyMzMxJgxY8z7TZkyBU2aNEHLli3Ni3UsX74cffr0YSFGRHTf4sVKAMCAAXo0aMCL7pL1iSIwdqwO770nw5IlSkyxd0BERHbgUIWYj48PVqxYgY8//hjjx4+Hl5cXhgwZgokTJ1psZzQaYTAYLNpiY2MhSRKWLVuG9PR0hIeHY+nSpQgKCjJv06xZM2zevBnLli2DTqdDw4YNMW7cOLz22mvV8vyIiJzBzz+b3hrGj+cFd8l2hg/X4d//ViL1mkMNziEiqjaCJEn8urOKDAYj0tM19g4DcrkIPz8vZGRonGp8rLNg/9oW+9f2Su1jjQYBwfUBAF7IQbtIN2zYkGeHKJ2Xq+awRqdB8GJTbqTE3qzyYh0PmzNHif98rocGtQAAd1JulrhYh6v2r6Ng/9oW+9e2HKl//f29yr1YB7+GIiKiIng2jKrD6NE6uLvx+2AiqpkcamgiERHZiSjiUqPuSL0mIqyFhKef5je2ZCIKIp5s0M1825rq1JEwdLgRv67oCR+VhEYivx8mopqDhRgREUGt80B79R6oIWDpP/IgCFyvnkw85B7Y+HyCzY4/bqIMnVbvRoFawKYTueja1VD2TkRELoBfPREREZZ8I0KtFhAWZkD//izCqPo0aCBhxAjTZRLmzhbsHA0RUfVhIUZEVMNlZAD/+cp0LaeJEwvA0WFU3d56qwBy0Yi9Bz2wfx+LMSKqGfh2S0RUwy38txH6PB3uCbUROy0I0Nh/FVhyHBqdBuHLghG+LBganQ1yQ6NBRN+mSBfrwBMa/Gu6EVzPmYhqAhZiREQ12K1bAhavMC0X7i+lQ0y/Z+eIyBHd097DPa3tckO8dw/e+gx4Cnk4+qcKiVts9lBERA6DhRgRUQ322Uw9tDo5OvuctXcoRIhrvBkAMGuGAJ3OzsEQEdkYCzEiohrqj1MCVm30AQDM7PCznaMhAiY0S0SAWxYuXquFFd/yEgpE5NpYiBER1UCSBMyYbIAkCXgp9Dd0Cki2d0hE8FHkYnrkDgDAnM/dkZFh54CIiGyIhRgRUQ206ScJ+0/6wEOWj4+f/sXe4RCZvRJxDK19ryJT44bZM3hNMSJyXSzEiIhqGLUamDHdtFz9pA670EiVZeeIiB6QiRLmRJkuIL18rQ+OHeVy9kTkmliIERHVMJ9M1+NWhgeaed/EpCf3328VYAgIgC6iHXghMXqYKIiICGiHiIB2EAUb5IYoQhfRDobGTQDBVHR1b3IFI5sdgiQJ+McECXpeY5yIXBDfbYmIapADSUYs/l4FAPi/ZzbDTX5/6JdcjvzBQ5C5fQ/g4WHHCMnReMg9sP2lPdj+0h54yG2QGx4eyNy+B5op7wEymbl5Vp+d8FPk4I9L3lg4lwt3EJHrYSFGRFRD5OUBr47UQpIE/K35IfRqmmLvkIhKVNdLg896mZazn/OFN06d5BBFInItLMSIiGqIT6brcSHVEw080vFZ3232DoeoTCNan8KgJsegN4oY9yqg1do7IiIi62EhRkRUA/z6C/DVf03XDFvQbxN83R/5RKvXw33V/+DfoRWQm2uHCMlR5epy0eG7VujwXSvk6myQG7m58O/QCrU+fB+PTgYTBGBe/y0IdMvAucuemDaJlRgRuQ4WYkRELu7uXQETXjetkvh62wOIbnaxmK0kiDnZkKVeNV1kjOg+CRJSs68iNfsqJNggNyQJstSrENPTi727jmcuvuq3HgDwxdfu2LfH+iEQEdkDCzEiIhdmMABvvmpAWqY7wn2uY27/XfYOiajC+jX7C6NbJgEA4kbLcOsW54sRkfNjIUZE5MI+/9iAXYd94CnTYuXgH+Gh4Drg5Jxm992Jx32v41aGO0aPAPLz7R0REVHVsBAjInJRmzcAc//jCwBYGLUOj9e9bd+AiKqglrIAm17+EX6KbBw9Uwv/7y2OoiUi58ZCjIjIBR05LGD8m6ZrPr3e+lcMbXXazhERVV1o7UysfG4NRBiweoM3lv6HlRgROS8WYkRELuavvwSMGqGEVidH/8YnMDtqu71DIrKap0NT8K9I0/XFPvi4FnYm2jkgIqJKYiFGRORCbt8WMGKwiIwcJTrWvoT/Dl4PmVieswYCjH5+0Ie1MK0ZTnSfAAFhfi0Q5tcCAmyQG4IAfVgLGOrVL/cub3Y5jJHND8FgFDF6jAeS9jJnicj5sBAjInIR6enAyOeBK2meCPZKw9qhq+Gp0JVvZ7kc2peGI2PfEcDT06ZxknPxVHhi34gj2DfiCDwVNsgNT09k7DsCzbQZgFxerl0EAfiq/2Y82/gktDo5Rv3NDb8d4UcaInIufNUiInIBt28LeCFaxKm/aiHALQsbhq1EXS+NvcMishmFzIiVL/yEXvXPQJOvwIihCvxximfGiMh5sBAjInJyN28KGBwt4myKF+q5p2PriCV4zL/4i+MSuRJ3uR5rXvoBXQMuQp2rxAvPKXHoIIsxInIOLMSIiJzY5RTg+X4iLqZ6opHHXWwbuRQt6tyt+IH0erj/uAZ+3TsBubnWD5ScVq4uF91Xd0L31Z2Qq7NBbuTmwq97J3h98k9AX/Hr3Hkpdfhp+PfoHPAXsnKVeOlFd8T/zGKMiBwfCzEiIieVtFfAM08rkXLTE029bmPb35YitNJnwiSIGRmQnz/HizORBQkSzmecw/mMc5Bgg9yQJMjPn4Ps1s1KH8LHLR+bR65E/8YnkK+XY0ysF5Z+wzwmIsfGQoyIyAktWwS8NNQTGTlu6FA7GTtGLUET30x7h0VkN54KHb4f8iPGhO+DJAmYOkOFdycYodXaOzIiouKxECMiciIaDTDpdSPe+8AbBqOIoaFHkPjyf1G/Vra9QyOyO7loxJfPJmBGly0AgP/+4IOBfQSkpHCoIhE5HhZiRERO4vejIvpEyvC/dT4QYMQ/u27G0uc3wENR8Xk1RK5KEID/1y0JGwYvQW2lGicv1ELUU0r8vN7ekRERWWIhRkTk4HQ64N8fGzFggAcu3fBEA497+PnFpZgUeYDXXiYqQVToJeyP+QpdAi5CnafE2HHeGD1cwq1b/E9DRI6BhRgRkQP7dbeIp7qI+PcCHxiMIoaE/IbDYxaiV3CyvUMjcniNfNTY+vJy/KPDdsgFPeJ3qdCtixLfLZNgNNo7OiKq6ViIERE5oCtXBLw61Iihw7xwMdULAW5ZWNbveyx/YT383G2x+oAAYy1vGIIag6fZ6GECBAR5N0aQd2MIsEFuCAIMQY1h9Pe3/rFhuvDzzF67kTRqITrUToY6V4nJ76nwTHdgz6/MdSKyHxZiREQOJDVVwJQ3jHiyiwe2/OoDmWDA661243jslxja6rTtHlguh3bky0j//TTg6Wm7xyGn46nwxO+jTuP3UafhqbBBbnh6Iv3308j58F+AXG7949/Xqm4adsUswezuG+Etz8XJi954aWgtDBtgxMkTLMiIqPrZ7hWPiIjK7a+/BHw9V481G72hM8gAAL3qn8XsvtvweMBtO0dH5BpkooQ3Ox/GsNanMWdvJJac6YbdR3ywuy/Qs2MW3viHHE89ZeRJYSKqFizEiIjsxGAAdmwTsOwrA379zcfc3qveGbzXcx8ig67YMToi1xXgqcG/+23HG11+w6zdPfFTckfsOeqDPcOAViHZeCUWGDwU8Pa2d6RE5MpYiBERVbMzZ0Ss/16P9RuVuH7XAwAgwIh+jf7AxMgDeDLoavUHpdfDbcNPUBw5hMxNiYCHR/XHQA4pT5+HQRv6AQA2DU6Eh9zKuZGXB99B/SCmp0PXqo11j12GYN8MLB28ETOyfsXCg52w4s+uOJ3sjSlTgRkz9XiubzaGj1GicxcjZLJqDY2IagAWYkRENmY0AqdOidjxsx7xm2X484qX+T5/RTb+/vhhjO14DE19M+wYpQTZnTuQ3bkDLidHDzNKRpy4c9x82/oPYITihOn4usdbW//45dDEJxP/7rcdU3vuw3cnIrDyVAecz26INfF+WBMP1PXR4tm+WvR/SYGuTxqhVNolTCJyMSzEiIhs4NYtAUl7BezfkY9f9nriVoa7+T6lqEO/Rn/gpdZnEN3sAtzlvCAzkSPw98jD210P4q0uB3H4ehBWHmuLn1Pa4nZWLSz/0R3LfwRquevQrWMOej4jR8+nBYSGSpxTRkSV4nCF2KVLlzBr1iwcP34cXl5eGDRoEN555x0oy/j6SZIkLF68GKtWrUJ6ejrCw8MxdepUREREWGyXlpaGWbNmISkpCQqFAlFRUZg6dSpq1aplw2dFRK5MqzUNNzxxFDh5qABHjyvx143Cs16mf2vJ8vB0o7OIbv4X+oeds9ES9ERkDYIAdGmUii6NUvGlYSv2Xg3GxtNh2HK5Ne5ofZCY5IfEJAAfAP7e+ejYOg8dusrQ8UkZ2rUzgB8piKg8HKoQy8rKQkxMDJo2bYoFCxYgLS0Ns2fPhlarxYwZM0rdd/HixZg/fz6mTJmCsLAwfP/99xg9ejQ2bdqEoKAgAIBOp8PYsWMBAHPnzoVWq8Vnn32GyZMnY9GiRTZ/fkTk3AwG0/W9Ll4UcfGMHn+d0eP0WTnOXq4FvaHwaiCmwkuEAW39r6BHUDJ6PXYF3YNS4CY32C94IqoUpcyAPsF/oU/wX5gvJeDU7fr45a9g/JIcisN3QpGe7YbtB9yw/QCAuYAgSAipn4sWzXRo0UpAeIQCLcIlNG3KIY1EZMmhCrE1a9ZAo9Fg4cKF8PX1BQAYDAZ89NFHiIuLQ2BgYLH75efnY9GiRRg9ejReeeUVAECHDh3Qr18/LF26FB9++CEAYNu2bbh48SISEhIQEhICAFCpVBgzZgxOnTqFNm2qd5IwETkWg8E0pPDaNRHXUoHrlw24lmLA9VQJqTfkSLnpiXxd8TP2A5RZaB9wGe3q3UCHoDR0bXQFvjzrReRSREFCROANRATewOTI/SgwyHDqdn0cvtoAv6U2xKG0EFzLq4NLN7xw6QawZc/D+xrRsI4WTRoWoEkTCU0fE9EoVIF69YF69YwIDJR4Jo2ohnGoQmzv3r3o2rWruQgDgOjoaMycORP79+/HCy+8UOx+x44dQ05ODqKjo81tSqUSUVFR2LFjh8Xxw8LCzEUYAERGRsLX1xd79uxhIUbkIiQJ0GgAtVq4/3P/dhagzjAiPU2Pu2kS7t0F7twVcTddhruZCqRnK2CUSr/OvZtYgObeNxHml4bmAffQst49tK93HUGqTM4TIaphlDIDOta/ho71rwGdTW1pmlo4e6cuzqbVwdm0AJy9Vw9nMxtCY/BA6h1PpN7xRNKJ4o9Xy12Hev4FCKyjQ0CABF8/wLe2AN86MvjWlsHXX4CfnwRfX9OPt7cET09ALP1li4gclEMVYsnJyXjxxRct2lQqFQICApCcnFzqfgAsCiwACA0NxYoVK6DVauHu7o7k5OQi2wiCgODg4FKPT1RTSZLpx2gs+mPZLhTbbjAAej2g0wnQ6QpvA3q95e86nQCjUYCbUkJmpoj8PAn6fAkF+RK0eUZoc03zsPJyAW2ehLw8QJsnIE8LaLUC8rQitPkC8vJFZOfKkZ0nL7OgKolc0KOhRzoa17qHRt6ZaOyThUZ+2QjyzUao3100VmVCJkpW7mnHILm7Q/LyKntDqnFqu9e26fGNtWsD2nybPkZ1CfTKQaBXDno1ffC5QpKA27m1kJLpj5R0P6Sk+yAlwxfXs31xK1eFm3l+yNZ7IkerwF83FPjrRsUe00Oph5e7AZ7uBnh5GOHpYYSXpxGenhK8PCV4eADuHgIUSkDpJph+3AUo3AS4uYtQuAnw8BTh5w/odDLIZAKUSkCpBGQyQCaT7v/76I8EUQTkctPvovigXS5/+PcH9xPRAw5ViKnVaqhUqiLtPj4+yMrKKnU/pVIJNzc3i3aVSgVJkpCVlQV3d3eo1Wp4F3N1xrKOXx5yuf1fXfbslPDvGfegVRfg4Y+JEop+TS9Jj/5ezDbFPMaj+5X3+CVt9+iDVOVYxW9XTFs5nmtJ2wiCDpIkmXeo/jikCvythCL3ShAgSQKM5fyRYI+8tt41iuSCHj6yHPjINVDJc+GryIFKkYc6btmo45GDup45qOOhQYBHNuq6q1HHXY26buqSC628+z9OShAFQCGHTKeHaLR8jkKuBvmvjEbeJ3Mc643BichkosW/rsJH7o2Lr9nw4uI+3si6eAXKVf+DYtMGCDevF7tZafnrDBoCaCgC3eoAqFP0/hydG27l+eJGni9u5vrhbq4n0rWeyNB6IrPAE+n5XsjQeSNdVwsZOhXS9d4wwjRUOq9AjrwCOaC2RqTuZW9SBQKMEARAgGTxryhIlm0wzbcr/FcUirYJAHD/X1GQitwnFHPfI8E8/I/lXYKER+8Vinm3LW4kREnbCWIepEdztwL7W3O7qh7T0QhyGf4WK2DsW871+sv3WysQRQF+fvb/FnnP9hwcOGfbby2JSiMKRoj33zBFmG4rRCMUMgMU4sM/RtO/5Wj3lOvg8dCPp7zgwW2lHh5KAzwUOnjI9fCQ66BSauHjZvrxkOsq+AbiAWsWgo6q2PUCGtQDmjSBuwO8ljk7lcr1c8gmHmsKRJQ9RcBV17twA1AbwOPIAlD2l8OSBOTpFcgpUEKjUyJH5waN7v7tAiU0+XLk5CtMbXol8g1yFBjk9/+Vmf41ykptzzfIYTCKMEgCDJIIgyRCbzT9azAW31bWF3gSxAdfWDpfPU0OzPidBpOme9o7jApxqEJMpVIhOzu7SHtWVhZ8fHxK3a+goAD5+fkWZ8XUajUEQTDvq1KpkJOTU+zx69evX+m4jUYJanVupfe3lmmfyDBgOJCZmQ+D4ZFvu4v71kMo/XdTWzm/bbFim7WPX5zKxCGTCahVyx0ajdaifx27P4r+/USx5B9BePh3qYz7i95XMgGml5uSX3JkMhEqlQfU6jwYDFW/aGz+/R96oFx9nKGp3qBciLVzuMbp1M30UwL2b/EUAHzv/1RF5frXeP/nAUkyDUsvHJpuMDwYqm4wmEZrFA57L89P4ZD3kn+Ecm1fkevUFzeypaLtj7aJoggvLzfk5OTDaCzaZ5U9bunbFv/GXNXjOiKZTMBTT3k5xOuDSuVR7pERDlWIhYSEFJmrlZ2djTt37hSZ2/XofgCQkpKCFi1amNuTk5PRoEEDuLu7m7e7cOGCxb6SJCElJQWRkZFVil2vt/+bglwOPP00kJGhd4h4XI1cLsLPD8jIMLB/H1L4pmstBoOR/WtjxfZxXh58Rpjm6GatXgd48KxOZblaDufp8zAi3pQbqwesg4fcyrlRwdxztf51NNbq38J5YWRi+gzhxs9oNvKgf53r9cGhBlL26NEDBw4cgFr9YJBzYmIiRFEstVBq3749atWqha1bt5rbdDodtm/fjh49elgc/9y5c7h8+bK57eDBg8jMzETPnj2t+2SIiJyJ0QjlgSQoDyRV7KtjcnlGyYgDN5Jw4EYSjJINcoO5R0Q1lEMVYsOHD4eXlxfGjx+PpKQkrFu3DnPmzMHw4cMtriEWExODqKgo8+9ubm6Ii4vDsmXLsGLFChw8eBCTJ09GZmYmxowZY97umWeeQbNmzTBhwgTs3r0bCQkJmDZtGp566ikuXU9ERERERNXGoYYm+vj4YMWKFfj4448xfvx4eHl5YciQIZg4caLFdkajEYZHxkLFxsZCkiQsW7YM6enpCA8Px9KlSxEUFGTeRqFQYMmSJZg1axYmTZoEuVyOqKgoTJs2rVqeHxEREREREeBghRhguvbX8uXLS93mu+++K9ImCALi4uIQFxdX6r6BgYFYsGBBVUIkIiIiIiKqEocamkhERERERFQTsBAjIiIiIiKqZg43NJGIiOxD8nSuC2FS9fGU2zY3mHtEVBOxECMiIsDLC3cv37J3FOSAvBReuPyaDXODuUdENRSHJhIREREREVUzFmJERERERETVjIUYEREBWi1UI4dANXIIoNXaOxpyIFq9FiPjh2Bk/BBo9TbIDeYeEdVQnCNGRESAwQC3ndvNt4kKGSQDdl7dbr5t/Qdg7hFRzcQzYkRERERERNWMhRgREREREVE1YyFGRERERERUzViIERERERERVTMWYkRERERERNVMkCRJsncQzk6SJBiNjtGNMpkIg8Fo7zBcFvvXtti/tldiHxuNkKVeBQAYghoDIr+nqwxXzGGjZERqtik3grwbQxSsnBsVyD1X7F9Hwv61LfavbTlK/4qiAEEQyrUtCzEiIiIiIqJqxq88iYiIiIiIqhkLMSIiIiIiomrGQoyIiIiIiKiasRAjIiIiIiKqZizEiIiIiIiIqhkLMSIiIiIiomrGQoyIiIiIiKiasRAjIiIiIiKqZizEiIiIiIiIqhkLMSIiIiIiomrGQoyIiIiIiKiasRAjIiIiIiKqZizEiIiIiIiIqpnc3gFQ+e3fvx/r16/HyZMnkZqair/97W+YMWNGke0KCgrwxRdf4Oeff4ZGo0G7du3wwQcfICQkpMzHOHbsGD777DP8+eefqF27NkaMGIHY2FgIgmCLp+TwwsLCSrxv3759qFu3brH3Xbt2DU8//XSR9rZt22Lt2rVWi8/Zvffee9iwYUOR9sWLF6NHjx6l7pudnY1PP/0UO3fuhE6nQ/fu3TF9+vQS/yY1jcFgwLJly/Drr7/ir7/+giRJCAsLw9tvv42OHTuWui/zt6hLly5h1qxZOH78OLy8vDBo0CC88847UCqVpe4nSRIWL16MVatWIT09HeHh4Zg6dSoiIiKqJ3AnsHXrVvz88884c+YM1Go1mjRpglGjRuHFF18s9b2nd+/euH79epH2U6dOwc3NzZYhO5X169dj6tSpRdpjY2MxZcqUEvdj7pbPqFGjcOTIkWLv+7//+z/079+/2PuYv8W7cuUKli5dipMnT+LixYsICQlBfHx8ke1+/PFHLFmyBDdu3EBwcDAmTpyIXr16lXn8tLQ0zJo1C0lJSVAoFIiKisLUqVNRq1YtWzydMrEQcyL79u3DuXPn8MQTTyArK6vE7WbNmoWEhAS89957CAwMxDfffINXXnkFW7Zsgbe3d4n7XblyBWPGjEFkZCTeeecdnD9/Hp9//jlkMhnGjBlji6fk8H744Ycibe+++y48PDzK9YF/0qRJ6Ny5s/l3Ly8vq8bnCoKCgvD5559btIWGhpa53zvvvIO//voLH374Idzc3PDll18iNjYW69atg1zOlzatVotvv/0WgwcPRmxsLERRxNq1a/H3v/8dS5cuRdeuXcs8BvPXJCsrCzExMWjatCkWLFiAtLQ0zJ49G1qtttgvwx62ePFizJ8/H1OmTEFYWBi+//57jB49Gps2bUJQUFA1PQPHtnz5cjRs2BDvvfce/Pz8cODAAXzwwQe4desW3nzzzVL3feaZZzB69GiLtrKK45pqyZIlFp8BAgMDS92euVs+M2fORE5OjkXbihUrsH379jJfZ5m/RV28eBF79uxB27ZtYTQaIUlSkW22bNmCDz74AOPGjUOXLl2QkJCAN998E99//32pXxTodDqMHTsWADB37lxotVp89tlnmDx5MhYtWmSrp1Q6iZyGwWAw3+7Vq5f00UcfFdnm5s2bUnh4uLRmzRpzW0ZGhhQRESF9++23pR7/gw8+kHr16iXl5+eb2+bOnSt17NjRoq0mS01NlZo3by4tXry4XNtt3bq1miJzTu+++67Uv3//Cu937NgxqXnz5tK+ffvMbZcuXZLCwsKkLVu2WDNEp6XX66XMzMwibf369ZPi4uJK3Zf5a+mbb76RIiIipIyMDHPbmjVrpPDwcOnWrVsl7qfVaqX27dtLc+fONbfl5+dLvXr1kmbOnGnDiJ3LvXv3irRNnz5dat++vcX73qNKeh8kS+vWrZOaN29ebD+XhLlbNb1795ZiY2NL3Yb5W7yH/8+X9Bmhb9++0qRJkyzahg0bJo0dO7bUY2/evFkKCwuTLl26ZG7bt2+f1Lx5c+nkyZNVjLxyOEfMiYhi2X+upKQkGI1G9OvXz9zm6+uLyMhI7N27t9R99+7di6efftri25hnn30WarUax48fr3zgLiQ+Ph6CIGDAgAH2DqVG27t3L1QqFSIjI81tISEhCA8PLzPPawqZTAYfH58ibWFhYbh9+7adonJOe/fuRdeuXeHr62tui46OhtFoxP79+0vc79ixY8jJyUF0dLS5TalUIioqinn6EH9//yJt4eHhyMnJQW5urh0iIuZu5R07dgzXrl3DwIED7R2KUyrrs25qaiouX75skZuA6fPqwYMHUVBQUOK+e/fuRVhYmMVUncjISPj6+mLPnj1VC7ySWIi5mOTkZNSuXbvIB7DQ0FAkJyeXuF9ubi5u3rxZZB5ZSEgIBEEodd+aZMuWLXjiiSdQr169cm3/4YcfIjw8HF27dsX06dORmZlp2wCd0JUrV9ChQwe0atUKL7zwAnbu3FnmPsnJyQgODi4yfyQkJIS5Wgq9Xo+TJ0+Wa74owPwtlJycXKTPVCoVAgICSs23wvse3Tc0NBQ3btyAVqu1frAu4vfff0dgYGCZ8zY2b96MVq1aoV27doiNjcX58+erKULnM2DAAISHh+Ppp5/GokWLYDAYStyWuVt58fHx8PT0LHae7aOYvxVXmJvBwcEW7aGhodDpdEhNTS1130dzWhAEBAcH2+2zAydSuBi1Wl3sPDCVSlXqvLLs7Gzzdg9TKpXw8PAodd+a4ty5c7hw4QL++c9/lrmtUqnEiBEj0K1bN6hUKpw8eRLffPMNTp8+jR9//BEKhaIaInZ84eHhaN26NR577DFkZ2dj9erVGD9+PObNm2dxVvdRJeW5j48PTp8+bcuQndqSJUuQlpaGV155pdTtmL+W1Gp1kddGwJRvpb02qtVqKJXKIhPvVSoVJElCVlYW3N3drR6vszt69CgSEhLw7rvvlrpd79690aZNGzRo0ACpqan45ptvMHLkSGzcuJFzmB4SEBCACRMmoG3bthAEAbt27cKXX36JtLS0Euc4MncrR6/XY+vWrejduzc8PT1L3Zb5WzmFr7mPviYX/l7Wa3JJnx3s9TmXhZgdZWdnl2uIUFBQUI2fvGktVenzzZs3Q6FQ4Jlnnilz/7p16+LDDz80/96pUyc0a9YMcXFx2LFjB5599tkKx+4MKtq/MTExFu29e/fG8OHDMX/+/FILsZqqKvm7f/9+LFiwAG+88QZatWpV6v41NX/J/m7duoWJEyeic+fO+Pvf/17qttOnTzff7tixIyIjIxEdHY2lS5da5G9N1717d3Tv3t38e7du3eDm5oYVK1Zg3LhxXGnWivbv34/09PRyTV9g/hLAQsyuEhMTLf4jliQhIaFcq8gBpm8EHl29BzB9C/DocMWHFX5DUHhmrFBBQQHy8vJK3deZVLbPJUlCQkICunfvbjFPpCJ69uwJT09PnDlzxmU/yFY1p0VRRN++ffHvf/8bWq22xG9cVSoVbt26VaQ9KyvLZXK1OJXt3zNnzmDChAkYMGBAmavQlaQm5G9JVCpVkddGoOx8U6lUKCgoQH5+vsWZBbVaDUEQXDpXK0OtViM2Nha+vr5YsGBBueZFP6xu3bro0KEDzpw5Y6MIXUd0dDSWLVuGP//8s9hCjLlbOfHx8fD19UW3bt0qvC/zt3wKcy87OxsBAQHmdrVabXF/cUr6jJyVlYX69etbOdLyYSFmRy+99BJeeuklqx4zJCQEd+/eLfIBobhxsQ/z9PRE/fr1i4yRTUlJgSRJ5Z5T4ugq2+e///47bty4gX/84x82iMp12CKnixMSEoKDBw9CkiSLeWIpKSlo3ry5zR/fXirTv1euXEFsbCzatWuHWbNm2Sgy11bc3MPs7GzcuXOn1NfGwvtSUlLQokULc3tycjIaNGjAoV0P0Wq1iIuLQ3Z2Nn744YdSL7VCtsfcrTitVoudO3fiueeeq3HDt6tTYW4++rk2OTkZCoWi1GGdISEhuHDhgkWbJElISUmxWPyrOnGxDhfTrVs3iKKI7du3m9uysrKQlJRU5gVye/TogV9++QU6nc7clpCQAJVKhXbt2tksZmewefNmeHp6onfv3pU+xu7du5Gbm4vWrVtbMTLXYjQakZiYiGbNmpX6Rt+jRw9kZWXh4MGD5raUlBScPXu2zDyvSW7fvo3Ro0ejfv36mD9/fpU+HNTk/O3RowcOHDhg/sYVMJ2dFEWx1Dfv9u3bo1atWti6dau5TafTYfv27czTh+j1erzzzjtITk7GkiVLyry+VUnS0tLw+++/18gcraiEhATIZDK0bNmy2PuZuxW3a9cu5ObmVnq1ROZv+QQFBaFp06ZITEy0aE9ISEDXrl1LncrTo0cPnDt3DpcvXza3HTx4EJmZmejZs6etQi4Vz4g5kevXr+OPP/4AAOTl5eHq1avmRCycT1OvXj0MGTIEc+bMgSiKCAwMxKJFi+Dt7Y3hw4ebj7Vx40ZMmzYNy5cvR6dOnQAAY8aMwebNmzF58mSMGDECFy5cwNKlSzFx4sQaPUdNr9dj27Zt6NOnT4nFQcuWLfH888/jk08+AQDMnj0bgiAgIiICKpUKp06dwqJFi9CqVSv06dOnOsN3WNevX8d7772H/v37o0mTJsjKysLq1atx+vRpLFiwwGLbR/u3Xbt26NatG6ZNm4Z3330Xbm5u+OKLLxAWFoa+ffva4+k4HK1Wi9jYWGRkZOD999/HxYsXzfcplUqLD2DM39INHz4c3333HcaPH4+4uDikpaVhzpw5GD58uEXREBMTgxs3bmDHjh0AADc3N8TFxWHBggXw9/dH8+bNsXr1amRmZmLMmDH2ejoO56OPPsLu3bvx3nvvIScnBydOnDDf17JlS/N80of7Nj4+Hrt370bPnj1Rt25dpKam4ttvv4VMJsOrr75qp2fimMaMGYPOnTsjLCwMAPDLL7+YL+5eOLSLuVt1mzdvRoMGDdChQ4ci9zF/yy8vL8+8lPz169eRk5Nj/qzbqVMn+Pv7Y8KECZgyZQoaN26Mzp07IyEhAadOncL//vc/83GuX7+OqKgovPHGG+Yh+c888wwWLVqECRMmYNKkScjLy8OcOXPw1FNPoU2bNtX/ZMFCzKkcPnwYU6dONf++b98+7Nu3DwAsljydPn06vLy8MHfuXGg0GrRv3x7//e9/LYZ6GI1GGAwGiyuWN2nSBEuXLsXs2bPx2muvwd/fH2+99VaRq77XNElJScjIyCh18q3BYIDRaDT/HhoaitWrV2Pt2rXQarUIDAzEkCFD8NZbb0Eu5387APDy8kKtWrXw9ddf4969e1AoFGjVqhUWL15sMbEcKNq/APDll1/i008/xYwZM6DX69GtWzdMnz6d/Xvf3bt3ce7cOQDA66+/bnFfw4YNsWvXLvPvzN/S+fj4YMWKFfj4448xfvx4eHl5YciQIZg4caLFdoWvqw+LjY2FJElYtmwZ0tPTER4ejqVLl3JVtIcUXott9uzZRe775Zdf0KhRoyJ926hRI9y+fRuffPIJsrOz4e3tjS5duuCtt95i3z4iODgY69atw61bt2A0GtG0aVNMmzYNo0aNMm/D3K2arKws7Nu3DzExMUUuqwIU7V/mb8nu3buHt99+26Kt8PeVK1eic+fOGDBgAPLy8rB48WJ8++23CA4OxsKFCy1Gb0mSVORzrkKhwJIlSzBr1ixMmjQJcrkcUVFRmDZtWvU8uWII0sMREhERERERkc1xjhgREREREVE1YyFGRERERERUzViIERERERERVTMWYkRERERERNWMhRgREREREVE1YyFGRERERERUzViIERERERERVTMWYkREVGNcu3YNYWFhWL9+vb1DKZdRo0ZZXHiXiIhcBwsxIiJySOPGjUPbtm2Rk5NT4jaTJ09Gq1atkJGRUY2ROa/Nmzdj+fLl9g6DiIjAQoyIiBzUc889B61Wi507dxZ7f15eHnbt2oVu3brBz8+vmqNzTvHx8Vi5cqW9wyAiIrAQIyIiB9W7d294eXlh8+bNxd7/yy+/IDc3F88991w1R1ZxkiRBq9XaOwwiInIgLMSIiMghubu7o2/fvjh06BDu3btX5P74+Hh4eXmhd+/eyMzMxGeffYaBAweiXbt2aN++PcaOHYtz586V67EuXbqEt956C506dULr1q3xwgsv4JdffrHYZsGCBQgLCyuy7/r16xEWFoZr166Z23r37o24uDjs27cPL7zwAtq0aYM1a9aUGsMPP/yAPn36oE2bNhgyZAiOHj1a7HYFBQWYP38+oqKi0KpVK/Ts2RNz5sxBQUFBqccfNWoUfv31V1y/fh1hYWEICwtD7969S92HiIhsR27vAIiIiEoycOBAbNiwAVu3bsXLL79sbs/MzERSUhL69+8Pd3d3XLx4ETt37kS/fv3QqFEj3L17Fz/88ANefvllbNmyBYGBgSU+xsWLFzFixAgEBgYiNjYWnp6e2Lp1K8aPH48FCxYgKiqqUrGnpKRg8uTJGDZsGIYOHYrg4OASt/3xxx8xY8YMtGvXDjExMUhNTcXrr78OHx8f1K9f37yd0WjE66+/jt9//x1Dhw5FaGgoLly4gBUrVuDy5cv4z3/+U+JjjBs3DtnZ2bh16xamTp0KAPDy8qrUcyMioqpjIUZERA6rS5cuCAgIQHx8vEUhlpiYCJ1Oh4EDBwIAwsLCsG3bNojig4EegwYNQnR0NH766SeMHz++xMf417/+hfr162PdunVQKpUAgJEjR2LEiBH4/PPPK12IXblyBUuWLEH37t1L3U6n0+GLL75AeHg4Vq5caY7hsccewwcffGBRiG3evBkHDhzAd999h44dO5rbmzVrhpkzZ+LYsWNo3759sY8TGRmJlStXQq1WY9CgQZV6TkREZD0cmkhERA5LJpOhf//+OH78uMXQv/j4eNSpUwddu3YFACiVSnMRZjAYkJGRAU9PTwQHB+Ps2bMlHj8zMxOHDh1CdHQ0cnJykJ6ejvT0dGRkZKBbt264fPky0tLSKhV7o0aNyizCAOD06dO4d+8ehg8fbi7CAGDw4MHw9va22DYxMRGhoaEICQkxx5qeno4uXboAAA4fPlypWImIqPrxjBgRETm0gQMHYvny5YiPj8e4ceNw69YtHD16FKNGjYJMJgNgGrK3cuVKrFq1CteuXYPBYDDv7+vrW+Kxr169CkmSMG/ePMybN6/Ybe7du1fq0MaSNGrUqFzb3bhxAwDQpEkTi3aFQoGgoCCLtitXruDSpUvmArS4WImIyDmwECMiIofWqlUrhISEYMuWLRg3bhzi4+MhSZJ5WCIAfPPNN5g3bx5efPFFvP322/Dx8YEoivjkk08gSVKJxzYajQCA0aNHl3j2qnHjxgAAQRCKvf/hou9h7u7u5Xp+FWE0GtG8eXPzHK9H1atXz+qPSUREtsFCjIiIHN7AgQMxb948nDt3DvHx8WjatCnatGljvn/btm3o3LkzPvnkE4v91Gp1qdcYKzzjpFAo8OSTT5Yag0qlMh+z8Dbw4IxWZTVo0ACA6WzXw2e6dDodrl27hhYtWpjbGjdujHPnzqFr164lFoalqcw+RERkG5wjRkREDq/w7Nf8+fPx559/WpwNA0xzyR4987V169Yy53fVrl0bnTp1wg8//IDbt28XuT89Pd18u/DM2G+//WZuy83NxcaNGyv0XB7VqlUr+Pv7Y82aNRZL0G/YsAFqtdpi2+joaKSlpWHt2rVFjqPVapGbm1vqY3l4eCA7O7tK8RIRkXXwjBgRETm8oKAgtGvXznxtr0cLsaeeegpfffUVpk6dinbt2uHChQvYvHlzkTlWxZk5cyZGjhyJgQMHYujQoQgKCsLdu3dx4sQJ3Lp1Cz///DMA06qDDRo0wPvvv4/k5GTIZDKsW7cOfn5+VTorplAo8M4772DGjBmIiYnBs88+i2vXrmH9+vVF4h80aBC2bt2KmTNn4vDhw2jfvj0MBgOSk5ORmJiIJUuWoHXr1iU+1uOPP46EhAR8+umnaN26NTw9PXktMSIiO2EhRkRETmHgwIE4fvw42rRpU2Rhi3HjxiEvLw+bN29GQkICWrZsiUWLFmHu3LllHvexxx7DunXrsHDhQmzYsAGZmZnw9/dHy5YtLZa9VygUWLhwIT766CPMmzcPAQEBiImJgUqlKnHOVnkNGzYMBoMBS5cuxZw5c9C8eXN8/fXXRRYQEUURX331FZYvX45NmzZhx44d8PDwQKNGjTBq1KhSr1UGmJbl//PPP7F+/XosX74cDRs2ZCFGRGQnglTaLGYiIiIiIiKyOs4RIyIiIiIiqmYsxIiIiIiIiKoZCzEiIiIiIqJqxkKMiIiIiIiomrEQIyIiIiIiqmYsxIiIiIiIiKoZCzEiIiIiIqJqxkKMiIiIiIiomrEQIyIiIiIiqmYsxIiIiIiIiKoZCzEiIiIiIqJqxkKMiIiIiIiomrEQIyIiIiIiqmb/HzOyUzGnoT++AAAAAElFTkSuQmCC\n" }, "metadata": {} } ] }, { "cell_type": "markdown", "source": [ "## **Calcul de l'Intervalle de Confiance Pour une Moyenne aved la Distribution $t$ de Student**" ], "metadata": { "id": "oSx4-gPHhBCJ" } }, { "cell_type": "code", "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from scipy.stats import t\n", "\n", "# Données\n", "data = np.array([28, 32, 35, 30, 29, 31, 36, 27, 34, 33])\n", "\n", "# Statistiques de l'échantillon\n", "n = len(data) # Taille de l'échantillon\n", "sample_mean = np.mean(data) # Moyenne de l'échantillon\n", "sample_std = np.std(data, ddof=1) # Écart-type de l'échantillon, ddof=1 pour l'estimation de l'échantillon\n", "alpha = 0.05 # Niveau de signification pour un intervalle de confiance de 95%\n", "df = n - 1 # Degrés de liberté\n", "\n", "# Valeur critique de t pour un intervalle de confiance de 95%\n", "t_critical = t.ppf(1 - alpha / 2, df) # Bilatéral\n", "\n", "# Calcul de l'intervalle de confiance\n", "margin_error = t_critical * (sample_std / np.sqrt(n))\n", "confidence_interval = (sample_mean - margin_error, sample_mean + margin_error)\n", "\n", "# Affichage des résultats et création du graphique\n", "print(f\"Moyenne de l'échantillon : {sample_mean:.2f}\")\n", "print(f\"Écart-type de l'échantillon : {sample_std:.2f}\")\n", "print(f\"Degrés de liberté : {df}\")\n", "print(f\"Valeur critique de t : ±{t_critical:.3f}\")\n", "print(f\"Marge d'erreur : ±{margin_error:.3f}\")\n", "print(f\"Intervalle de confiance à 95% pour le temps moyen de livraison : [{confidence_interval[0]:.3f}, {confidence_interval[1]:.3f}]\")\n", "\n", "# Création du graphique\n", "plt.figure(figsize=(10, 6))\n", "plt.title(\"Illustration de l'Intervalle de Confiance à 95% pour le Temps Moyen de Livraison\")\n", "plt.xlabel(\"Temps de Livraison (minutes)\")\n", "plt.ylabel(\"Densité de Probabilité\")\n", "x = np.linspace(sample_mean - 10, sample_mean + 10, 1000)\n", "y = t.pdf(x, df, loc=sample_mean, scale=sample_std/np.sqrt(n))\n", "plt.plot(x, y, label='Distribution de $t$')\n", "plt.axvline(x=sample_mean, color='red', linestyle='-', label='Moyenne Échantillon')\n", "plt.axvline(x=confidence_interval[0], color='green', linestyle='--', label='Limite Inférieure CI')\n", "plt.axvline(x=confidence_interval[1], color='blue', linestyle='--', label='Limite Supérieure CI')\n", "plt.fill_between(x, y, where=(x > confidence_interval[0]) & (x < confidence_interval[1]), color='gray', alpha=0.5)\n", "plt.legend()\n", "plt.grid(True)\n", "plt.show()\n" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 680 }, "id": "n5aEcKkfwSLD", "outputId": "f0266836-83d1-4692-a075-964db2ba491a" }, "execution_count": null, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "Moyenne de l'échantillon : 31.50\n", "Écart-type de l'échantillon : 3.03\n", "Degrés de liberté : 9\n", "Valeur critique de t : ±2.262\n", "Marge d'erreur : ±2.166\n", "Intervalle de confiance à 95% pour le temps moyen de livraison : [29.334, 33.666]\n" ] }, { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": {} } ] }, { "cell_type": "markdown", "source": [ "# **Visualisation de la Distribution $F$ de Fisher**" ], "metadata": { "id": "zulfbWe2ha-8" } }, { "cell_type": "code", "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from scipy.stats import f\n", "\n", "# Définir différents degrés de liberté pour la démonstration\n", "degrees_of_freedom = [\n", " (1, 1), (2, 1), (5, 2), (10, 1),\n", " (10, 10), (10, 20), (20, 10), (20, 20),\n", " (30, 30), (100, 100)\n", "]\n", "\n", "# Configuration de la figure\n", "plt.figure(figsize=(12, 8))\n", "for d1, d2 in degrees_of_freedom:\n", " # Ajuster l'échelle de x en fonction des degrés de liberté\n", " x = np.linspace(0.01, 10, 1000) if max(d1, d2) < 10 else np.linspace(0.01, 5, 1000)\n", " y = f.pdf(x, d1, d2) # Calcul de la fonction de densité de probabilité\n", " plt.plot(x, y, label=f'd1={d1}, d2={d2}')\n", "\n", "# Ajout de titres et de légendes au graphique\n", "plt.title('Distribution F avec Divers Degrés de Liberté')\n", "plt.xlabel('Valeurs de F')\n", "plt.ylabel('Densité de probabilité')\n", "plt.legend()\n", "plt.grid(True)\n", "plt.show()\n" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 727 }, "id": "NoPEvoJ_4GvS", "outputId": "59232c37-a909-4a32-c756-7ff61d5d6445" }, "execution_count": null, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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HDx5E165d1cmCqtf1rbfe0pqLrvL8YogvgmrxsaKSrGe9iPsp6tls1qwZ9u/fj+joaBw7dgy//vor1q5di8jISPWLBEPI5XLEx8ejbt26BsdbWkXdl1KphLe3N8LDw4s8p1q1aupzy/qdL4m5PHfFUcX33nvvoW3btkXWef53Zrly5fRqXyQSYfny5UX+LEu7Ej4R0YvGZJ6IyIxt27YNANSLhxVHLBajZcuWaNmyJcLDw7FkyRLMmzcPp06dQqtWrYy+H3hCQoLGZ0EQkJCQoPEP/OJ6wJOTk1GzZk31Z31ic3d3x4kTJ5Cdna3RO3/79m31cVPbu3cvevbsqbGSf15enkavvEpISAgWLlyIffv2wdXVFdnZ2ejatav6uIuLC+zt7aFUKnWOEKhVqxYuXrwIuVxu1C2/FAoF/vjjD9jZ2akXKCyOMe9HF2dnZ7z99tt4++23kZOTg8GDB2PBggVlSub37t2L3Nxc9fdNn3jd3d0RFxcHQRA0nml9dhKoVasWrl+/jpYtW+r8Xuj6zhcXo1KpRGJiokZvvOr7o2LMvydDPP/7BSjsLVd9v1W/P2xsbMoUX3E/41q1akEQBNSoUQO1a9c2uH0ioheNc+aJiMzUiRMn8MMPP6BGjRp46623iq2XkZGhVebr6wsA6u2sVPtXl3Z4uS5bt25Fdna2+vOePXvwzz//oF27duqymjVr4uLFixpbasXExGht7aRPbO3atYNCodDaOmzNmjUQiUQa1zeVonry1q9fD4VCoVXu5eUFb29v7Nq1C7t27ULlypXRrFkzjba6dOmCvXv3Frk117NDnd944w2kp6dr/WwAw0ciKBQKfPnll7h16xaGDBmiNb3hRd5PSdLT0zU+29vbo1atWlrbt+nj+vXriIqKQsWKFTFo0CC9423Tpg0ePHigsTVaXl4efv7551LHEBwcjAcPHhR5Tm5urnq6Q2m+80VRfT/Wr1+vUb527VqNz8b6ezLUgQMHNOa8X7p0CRcvXlTHX6lSJTRv3hw//fQTHj58aHB8qt89z79oe+ONNyCRSLBw4UKt744gCFrPHxGRqbBnnojIDBw+fBi3b9+GQqFAamoqTp06hWPHjqF69epYvHhxiUNEFy1ahLNnz6J9+/Zwd3fHo0ePsGnTJlSrVk3dk6pagO3HH3+Evb09KlSogEaNGmn0kOujYsWKGDhwIHr37q3ems7Dw0Njsa++ffti7969eP/99xEcHIzExETs2LFDa/irPrF16tQJgYGBmDdvHpKSklCvXj0cO3YM0dHRCA0NNXj7NWPq0KEDtm3bBgcHB9SpUwcXLlzA8ePH4ezsXGT9kJAQzJ8/H+XKlUOfPn205jxPnDgRp06dQr9+/dC3b1/UqVMH//77L65evYoTJ07g9OnTAAoXitu6dStmzpyJS5cu4fXXX8eTJ09w4sQJDBgwAJ07dy4x7qysLPVIkNzcXCQkJGD//v1ITExE165dMW7cuFLdv7HupyRdu3ZF8+bNUb9+fTg7O+Py5cvYu3dvkYv/FeXs2bPIy8uDUqlERkYGzp8/j4MHD8LBwQELFy5E5cqV9Y63f//+2LBhAyZOnIh33nkHlStXxo4dO9Tf3dKMQOnRowd2796N6dOn49SpU/D394dCocDt27exZ88erFixAg0bNizVd74ovr6+6NatGzZt2oSsrCw0bdoUJ0+eLLIn3Bh/TwkJCert9J7l5+dX5BaHKrVq1cKAAQMwYMAA5OfnY926dXB2dsb777+vrjN9+nQMHDgQ3bt3R79+/VCzZk2kpqbiwoULSElJwfbt23XGV79+fQDAvHnzEBISAhsbG3Ts2BG1atXCxx9/jG+++QZJSUno3Lkz7O3tce/ePRw4cAD9+vXDsGHDdLZPRPSiMZknIjID8+fPB1A4bNTZ2Rne3t6IiIhA7969dfaGdurUCUlJSfjtt9+Qnp4OmUyG5s2bY8yYMXB0dFS3O2vWLHz77beYMWMGCgoKMHPmTIOT+Q8++AA3btzAsmXLkJOTg5YtW2L69Onqni4AaNu2LSZPnozVq1cjKioKDRo0wJIlS/D1119rtKVPbGKxGIsXL8b8+fOxa9cu/P7773B3d8cnn3yC9957z6B7MbYpU6ZALBZjx44dyMvLg7+/P1avXq2RiDwrJCQE3333HZ48eYLg4GCt466urvjll1+waNEi7N+/H5s3b4azszPq1KmDsLAwdT2JRILly5dj8eLF+OOPP7Bv3z44OzvD39+/VPObU1JS8MknnwAonBNcpUoVNGnSBDNmzNBr73Zj3U9JhgwZgoMHD+LYsWPIz89H9erV8fHHH5c6wVL1TNvY2MDR0RFeXl4YM2YM+vXrp95nXN947e3tsXbtWnz55ZdYt24dKlSogJ49e6Jp06YYM2ZMqeZsi8ViLFq0CGvWrMG2bduwf/9+2NnZoUaNGhgyZIh6yHdpvvPFiYqKgkwmw44dOxAdHY3AwEAsW7YM7du3N+i+S3Lnzp0iF6jr06dPicl8z549IRaLsXbtWjx69AiNGjXCtGnTUKVKFXWdOnXq4LfffsPChQuxZcsWZGRkwMXFBX5+fvjoo49KFV+jRo0wbtw4/Pjjjzhy5AiUSiWio6NRoUIFjBgxAp6enlizZg0WLVoEoHDNgtatW6NTp06lap+I6EUTCS9yFSAiIiKiV9iaNWswc+ZMHD58WGN1dSIiorLinHkiIiIiI8jNzdX4nJeXh59++gmenp5M5ImIyOg4zJ6IiIjICEaPHo3q1avDx8cH2dnZ2L59O27fvo25c+eaOjQiIrJCHGZPREREZARr1qzBr7/+iqSkJCgUCtSpUwfvv/8+QkJCTB0aERFZISbzRERERERERBaGc+aJiIiIiIiILAyTeSIiIiIiIiILw2SeiIiIiIiIyMJwNXsdBEGAUmneywqIxSKzj5FebXxGydzxGSVLwOeUzB2fUTJ3lvKMisUiiEQinfWYzOugVApIS8sxdRjFkkrFkMnskZn5GAUFSlOHQ6SFzyiZOz6jZAn4nJK54zNK5s6SnlEXF3tIJLqTeQ6zJyIiIiIiIrIwTOaJiIiIiIiILAyTeSIiIiIiIiILw2SeiIiIiIiIyMIwmSciIiIiIiKyMFzNnoiIiIiIzIpSqYRCUWDqMMiKKJUi5OZKkJ+fB4XCdNvTSSRSiMXG6VNnMk9ERERERGZBEARkZqbhyZNsU4dCVig1VQyl0vTb0tnZOcDJyaVUe8mXhMk8ERERERGZBVUi7+Agg61tuTInO0TPkkhEJu2VFwQB+fl5yM5OBwBUrFipTO0xmSciIiIiIpNTKhXqRN7BwcnU4ZAVkkrFKCgwbc+8rW05AEB2djocHWVlGnLPBfCIiIiIiMjkFAoFgP+SHSJrpXrGy7ouBJN5IiIiIiIyGxxaT9bOWM84k3kiIiIiIiIiC8NknoiIiIiIiMjCcAE8IiIiIiKiFywrKwvBwR0RETEdISHdAQBnzpzEzp07cO3aFSQnJ6F3776YMOHTMl8rPT0da9euxNWrlxEX9zekUin27z9S5naf9f333+DIkUP49dcdAIDY2KvYsuVXXLz4F1JT/0HlylXQoUMQQkOHwc7OrkzXio7eh4MH9+Patav455+HGDVqHAYOHFL2m7Bw7JknIiIiIiIygZMnTyAu7iaaNPGHg4Oj0dpNTX2I6Oh9kMlc4OPja7R2SxIdvR/37t3FwIHvYM6c79G37wBs374Fn346vsxtx8REIzk5Ca1atTFCpNaDPfNEREREREQm8NFH4zBmTGGye/78WaO16+VVFzt27AMArFy5FHFxN43WdnEGDQqFTCZTf/b3D4CjoxM+/3wqrl+PLdNLhc8/n6newm3btt/LHKu1YDJPRERERERkZNu3b8G6dauQnp6GBg0a4cMPx2jVKcse4yUxdrupqf9gzpwonD17Go6OTujb9/+06jybyKt4e9dTnw8Ynsy/qJ+TpWMyT0REREREZksQBOTLlSa7vq2NWO+txI4dO4LZs79CSEh3BAW9gRs3YjFt2mSDYygo0L0fuVgsfmFJ7+TJE/HPPw8QFhYOBwcHbNiwFg8fPoBEIinxvEuXLgAAPDw81WVKpRJKpe6/T6mUqaou/AkREREREZFZEgQBMzecR1zSvyaLoU6Niggf5K9XQr927Uo0btwUERHTAQCBgS2Rn5+PNWtWGBRDhw4tdNZ5993hGDZspEHtl+TkyeO4fv0avv9+MV5/vRkAoGnTAPTu3RVOTk7FnpeRkYFVq5ahbdv2qFmzlrp89erlWL16uc7rHj1qvGkH1orJPBERERERmS/9OsVNTqFQ4MaNWIwaNVajvEOHIIOT+RUr1ums4+pa2aC2dbl27QocHBzUiTwAODg4ICCgOf7++3qR5xQUFGD69AgAwMSJ4RrHevTojdat276QWF81TOaJiIiIiMgsiUQihA/yt6hh9hkZ6VAoFJDJXDTKXVxcijlDtzp1vHXWeVFD7B89SoWzs/Z8+OLuRxAEzJwZidjYq1i0aDlcXV2fO69Ske2R/pjMExERERGR2RKJRChnW/LcbHPi7CyDRCJBenqaRnlaWloxZ+hmymH2lSq5IiMjXau8uPtZuPA7HDx4AHPmfI+6dbVfQnCYvfEwmSciIiIiIjISiUQCb28fHD58CP37D1KXHzoUbXCbphxm7+tbH9nZ2Th37ox6qH12djbOnj2tNWd+/fo1+PnnTfjssy8QENC8yPY4zN54mMwTEREREREZUWjoe5g8eSKioiLVq9nv3btLq15Kyn3Exl4FAOTm5iIpKQkxMQcAAB07dlbX8/Hx0zsGVTvx8XegUCjVn31966NaNTcAhXvQr169HL/8sh1ubtWLbKdFi1bw9vbB559PxQcfjIGjoyPWr18De3t7jXr79u3B0qUL0aVLMNzc3HHlymX1MXf3Guqt61xdK+v94uHOnduIj7+t/nz7dhxiYg6gfHk7tGzZWq+2rAmTeSIiIiIiIiNq06Y9wsLCsW7dKhw4sA9+fvURGRmFESOGatQ7f/4soqIi1Z9PnTqOU6eOAyj7MPPnt8JTfY6ImI6QkO4ACl8g2NrawsHBsdh2RCIRZs36BnPnzsScOTPh6OiIPn36Iy0tDUeOHFLXO3PmJABg797d2Lt3t0Ybz17TEAcP7tcYmr9nz07s2bMT1aq54ddfdxjcrqUTCYIgmDoIc6ZQKJGWlmPqMIqlFASs2XMDDWq7oLlPFVOHQ6RFKhVDJrNHenoOCgpMt3gNUXH4jJIl4HNK5s4Yz6hcno9Hj+6jUiU32NjYGjlCKsqoUe/jtdfqICxssu7KVkAqFZvF71Bdz7qLiz0kEt0LGr6YJQ/ppYm79y+OXkzGnpMJpg6FiIiIiIgshFwuR1zcTQweHGrqUMhAHGZv4ZRPB1YolBxgQUREREREpWNjY4N9+/40dRhUBuyZt3CqPS85W4KIiIiIiOjVwWTewome/i9TeSIiIiIiolcHk3kLJ2I2T0RERERE9MphMm/hVMPslRxmT0RERERE9MpgMk9ERERERERkYZjMW7j/FsAzcSBERERERET00jCZt3CqOfNczZ6IiIiIiOjVwX3mLRzXvyMiIiIiMn9ZWVkIDu6IiIjpCAnpDgA4c+Ykdu7cgWvXriA5OQm9e/fFhAmflvlaZ86cwh9/bMXVq1eQnp4GN7fqCAnpjn79BkIqNU4K+P333+DIkUP49dcdAIDY2KvYsuVXXLz4F1JT/0HlylXQoUMQQkOHwc7OrkzXio7eh4MH9+Patav455+HGDVqHAYOHFL2m7BwTOYtHbN5IiIiIiKLdPLkCcTF3USTJv7IzMw0Wrvbtv2OvLxcDBs2ElWrVsPVq1ewcuVSxMffQUTEdKNd51nR0ftx795dDBz4DmrWrIU7d25j5cqluHbtCubPX1KmtmNiopGcnIRWrdpg27bfjRSx5WMyb+HEqjnzJo6DiIiIiIj089FH4zBmzHgAwPnzZ43WblhYOJydndWf/f0DIAhKLF++GKNGjdM4ZiyDBoVCJpNpXNPR0Qmffz4V16/HwsfH1+C2P/98JsTiwhniTOb/w2TeSnDOPBERERGR+di+fQvWrVuF9PQ0NGjQCB9+OEarjipBNbaikvW6detBEAQ8epSqdzKfmvoP5syJwtmzp+Ho6IS+ff9Pq86zibyKt3c99fmA4cn8i/o5WTom8xbuvwXwTBsHEREREdGLIAgCUJBvugCktuodpErr2LEjmD37K4SEdEdQ0Bu4cSMW06ZNNjiEgoICnXXEYnGJSe+lSxdga2sLN7fqel9/8uSJ+OefBwgLC4eDgwM2bFiLhw8fQCKRlHjepUsXAAAeHp7qMqVSCaVSqfOaxprbb834E7Jw6q3pONCeiIiIiKyMIAh4vP0rKB/EmSwGSdW6sHsrQq+Efu3alWjcuKl6fnpgYEvk5+djzZoVBsXQoUMLnXXefXc4hg0bWeSxu3cT8euvP6JHj7dRoUIFva598uRxXL9+Dd9/vxivv94MANC0aQB69+4KJyenYs/LyMjAqlXL0LZte9SsWUtdvnr1cqxevVzndY8eNd60A2vFZN7Cqde/Yy5PRERERFZIBP16xU1NoVDgxo1YjBo1VqO8Q4cgg5P5FSvW6azj6lq5yPKcnGxMmTIJbm7VMWLEKL2vfe3aFTg4OKgTeQBwcHBAQEBz/P339SLPKSgowPTpEQCAiRPDNY716NEbrVu31TsO0sZk3tJZ1u82IiIiIqJSE4lEsHsrwqKG2WdkpEOhUEAmc9Eod3FxKeYM3erU8dZZp6gh9nK5HBERk5CVlYUlS1YZtEVc4Rx77fnwxd2PIAiYOTMSsbFXsWjRcri6uj53XqUi2yP9MZm3cKo3lVwAj4iIiIiskUgkAmzKmTqMUnN2lkEikSA9PU2jPC0trZgzdDNkmL1SqURk5FTcuBGLRYtWoGrVagZdu1IlV2RkpGuVF3c/Cxd+h4MHD2DOnO9Rt672SwgOszceJvMWTr0AnmnDICIiIiIiABKJBN7ePjh8+BD69x+kLj90KNrgNg0ZZv/tt1/j+PEj+OabBfDyqmPwtX196yM7Oxvnzp1RD7XPzs7G2bOntebMr1+/Bj//vAmfffYFAgKaF9keh9kbD5N5C6deAI/ZPBERERGRWQgNfQ+TJ09EVFSkejX7vXt3adVLSbmP2NirAIDc3FwkJSUhJuYAAKBjx87qej4+fnpdf926Vdi69TcMHDgENja2uHLlsvpY7dq1YW/vAABYuXIpVq9ejl9+2V7sKvctWrSCt7cPPv98Kj74YAwcHR2xfv0a2Nvba9Tbt28Pli5diC5dguHm5q5xTXf3Guqt61xdKxc7v784d+7cRnz8bfXn27fjEBNzAOXL26Fly9Z6tWVNmMxbuP8WwGM2T0RERERkDtq0aY+wsHCsW7cKBw7sg59ffURGRmHEiKEa9c6fP4uoqEj151OnjuPUqeMAyjbM/PTpkwCATZvWY9Om9RrH5s9fAn//AACFLxBsbW3h4OBYbFsikQizZn2DuXNnYs6cmXB0dESfPv2RlpaGI0cOqeudOVN4zb17d2Pv3t0abURETEdISHeD7+fgwf0aQ/P37NmJPXt2olo1N/z66w6D27V0IoFZYIkUCiXS0nJMHUaxHqQ/RvjSk3CsYIPvx3K4CpkfqVQMmcwe6ek5KCjQvaco0cvGZ5QsAZ9TMnfGeEbl8nw8enQflSq5wcbG1sgRUlFGjXofr71WB2Fhk00dykshlYrN4neormfdxcUeEon2gobP013jJfrzzz8xePBgtGjRAg0aNEBQUBBmzpyJrKwsnef+8ssv6NKlCxo2bIi33noLMTExLyFiM/B0mL2Sr2SIiIiIiKiU5HI54uJuYvDgUFOHQgYyq2H2GRkZaNSoEYYMGQJnZ2fcvHkTCxYswM2bN7Fq1apiz9u5cyemTZuGDz74AC1atMCuXbswevRobNy4EU2aNHl5N2AC6k0yOMCCiIiIiIhKycbGBvv2/WnqMKgMzCqZ79Gjh8bnwMBA2NraYtq0aXjw4AGqVq1a5Hnz589H165d8fHHHwMAWrRogb///huLFi3C8uW6tz2wZFzNnoiIiIiI6NVjVsPsi+Ls7AygcBhIUe7evYv4+HgEBwdrlIeEhODEiRPIz89/0SGalIjZPBERERER0SvHrHrmVRQKBQoKChAXF4dFixahU6dOqFGjRpF1b98u3KKgdu3aGuVeXl6Qy+W4e/cuvLy8yhSPVGq+7zxUCyMoBcGs46RXl+oZLc0iHkSmwGeULAGfUzJ3xnhGlUqR7kpEBlL1gYpE5jNDWSIRlSmHM8tkvmPHjnjw4AEAoG3btvjmm2+Krfvvv/8CAJycnDTKVZ9Vxw0lFosgk9nrrmgiuYrC/xWJYNZxEjk52Zk6BKIS8RklS8DnlMxdWZ7R3FwJUlPFZU5wiEpiDi9FlUoRxGIxKlasgPLlyxvcjlkm88uWLcOTJ08QFxeHxYsX44MPPsDq1ashkUheeixKpYDMzMcv/bqllZOTCwBQKoH0dPPdQo9eXRKJGE5OdsjMfAKFwvRbgRA9j88oWQI+p2TujPGM5ufnQalUQqEQzGL7MLIuIlHhc6pQKE3eM69QCFAqlfj338d48kShddzJya5ULx3MMpn38fEBADRt2hQNGzZEjx49sH//frz55ptadStWrAgAyMrKQuXKldXlmZmZGsfLwpx/mSif7kknCPylR+ZNoVDyGSWzxmeULAGfUzJ3ZXlGFQozGftMVkmVwJs6kX9WWV9cmX6MgQ716tWDjY0NEhMTizz+2muvAfhv7rzK7du3YWNjg5o1a77wGE1JNbPIjJ5JIiIiIiIiesHMPpm/ePEi5HJ5sQvg1axZE56entizZ49G+a5du9CyZUvY2tq+jDBNhqvZExERERERvXrMapj96NGj0aBBA9SrVw/ly5fH9evXsXLlStSrVw+dO3cGAERERGDr1q24du2a+rwxY8YgLCwMtWrVQmBgIHbt2oVLly5hw4YNprqVl0aVyyvNabwIERERERFpyMrKQnBwR0RETEdISHcAwJkzJ7Fz5w5cu3YFyclJ6N27LyZM+LTM1zp//izGjv1Aqzwo6H+IjJxZ5vYB4Pvvv8GRI4fw6687AACxsVexZcuvuHjxL6Sm/oPKlaugQ4cghIYOg52d4Qsj5uRk48cfN+LkyWO4ezcRNja28PWtj5EjP4KXVx2j3IulMqtkvlGjRti1axeWLVsGQRDg7u6Ovn37YtiwYeoe9sJFMTQXCejWrRuePHmC5cuXY9myZahduzYWLlyIpk2bmuI2iIiIiIiIdDp58gTi4m6iSRN/9ZpfxhQRMR21anmqPzs7Oxv9GirR0ftx795dDBz4DmrWrIU7d25j5cqluHbtCubPX2Jwuw8epGD79t/RtWsPDB8+Cvn5edi8eQNGjhyKFSvWw9Oztu5GrJRZJfMjRozAiBEjSqwza9YszJo1S6u8b9++6Nu374sKzWyphtmzY56IiIiIyLJ89NE4jBkzHkBhb7qxvfaaF3x8/IzeblEGDQqFTCZTf/b3D4CjoxM+/3wqrl+PhY+Pr0Hturm546eftmls4ebv3wx9+nTHli2/YPz4T8ocu6Uyq2Se9PfflHlm80RERERE5mL79i1Yt24V0tPT0KBBI3z44RitOmKx2S9hBgBITf0Hc+ZE4ezZ03B0dELfvv+nVefZRF7F27ue+nzAsGS+qCH6FSpUgLt7jaftvrqYzFs49Wr2zOWJiIiIyAoJgoB8pdxk17cV2/y36HQpHTt2BLNnf4WQkO4ICnoDN27EYtq0yQbHUFBQoLOOWCzWejkQFjYOmZn/olIlV3Tu3AXvvz8S5cqVL6aF4k2ePBH//PMAYWHhcHBwwIYNa/Hw4QNIJJISz7t06QIAwMPDU12mVCqhVOrejk0qLT5VzcrKwp07t9CsWWCp4rdWTOYtnL6/WIiIiIiILIUgCPj2/A+4/W+CyWJ4raInJvh/qNe/u9euXYnGjZsiImI6ACAwsCXy8/OxZs0Kg2Lo0KGFzjrvvjscw4aNBAA4ODhg4MB30KSJP8qVK4dz587gxx83ICHhDmbP/k6va588eRzXr1/D998vxuuvNwMANG0agN69u8LJyanY8zIyMrBq1TK0bdseNWvWUpevXr0cq1cv13ndo0eLn3bwww/zIRKJ0LPn23rcifVhMm/hnv2dIggCk3siIiIisjKW9e9bhUKBGzdiMWrUWI3yDh2CDE7mV6xYp7OOq2tl9Z+9vX3g7e2j/vz6681QqZIr5s2bjWvXrsDPr0Gpr33t2hU4ODioE3mg8GVBQEBz/P339SLPKSgowPTpEQCAiRPDNY716NEbrVu3LfX1n7dz53bs2LEFU6bMQJUqVQ1uxxowmbcigqCZ3BMRERERWTKRSIQJ/h9a1DD7jIx0KBQKyGQuGuUuLi7FnKFbnTreOuvomn/fqdP/MG/ebNy4cV2vZP7Ro1Q4O2vPhy/ufgRBwMyZkYiNvYpFi5bD1dX1ufMqFdleaZw4cQyzZ3+FoUPfR3BwN4PasCZM5i3cs79YChfBYzZPRERERNZDJBKhnMTW1GGUmrOzDBKJBOnpaRrlaWlpxZyhm77D7I2pUiVXZGSka5UXdz8LF36HgwcPYM6c71G3rvZLCEOH2V+5chnTpn2K4OBueP/9D0oZvXVjMm/hnk3duQgeEREREZFpSSQSeHv74PDhQ+jff5C6/NChaIPb1HeYfVGio/cCAHx99duqzte3PrKzs3Hu3Bn1UPvs7GycPXtaa878+vVr8PPPm/DZZ18gIKB5ke0ZMsz+zp3b+OSTj+Hv3wxhYeG6T3hFMJm3cJwjT0RERERkXkJD38PkyRMRFRWpXs1+795dWvVSUu4jNvYqACA3NxdJSUmIiTkAAOjYsbO6nr57xX/++TS4u9dAvXo+sLUtXADv5583oW3bDhptrVy5FKtXL8cvv2yHm1v1Ittq0aIVvL198PnnU/HBB2Pg6OiI9evXwN7eXqPevn17sHTpQnTpEgw3N3dcuXJZfczdvYZ66zpX18o6Xzw8Kz09DRMnjkG5cuXQv/9AXL8eqz5mb2+P2rVfK3Vb1obJvIV7fgE8IiIiIiIyrTZt2iMsLBzr1q3CgQP74OdXH5GRURgxYqhGvfPnzyIqKlL9+dSp4zh16jiAkldz16V27dewb99u/PjjRsjl+XBzq44hQ97FkCHvatTLzc2Fra0tHBwci21LJBJh1qxvMHfuTMyZMxOOjo7o06c/0tLScOTIIXW9M2dOAgD27t2NvXt3a7QRETEdISHdDbqXO3du4+HDBwCAceM+1DjWpIk/Fi5cZlC71kAkMAMskUKhRFpajqnDKJZcocTIOYcAAEsmtoetTcl7PRK9bFKpGDKZPdLTc1BQoHtPUaKXjc8oWQI+p2TujPGMyuX5ePToPipVcoONjeXMkbdko0a9j9deq4OwsMmmDuWlkErFZvE7VNez7uJiD4mk5AUNAUB3DTJrYo0F8IiIiIiIiHSTy+WIi7uJwYNDTR0KGYjD7C0dh9kTEREREZGebGxssG/fn6YOg8qAPfMWjqvZExERERERvXqYzFs6LmZPRERERET0ymEyb+E05syza56IiIiIiOiVwGTeijCVJyIiIiIiejUwmbdwmvvMmy4OIiIiIiIienmYzFs4kYiT5omIiIiIiF41TOYt3LOpvJJd80RERERERK8E7jNv4TR65pnLExERERGZpaysLAQHd0RExHSEhHQHAJw5cxI7d+7AtWtXkJychN69+2LChE/LfK309HSsXbsSV69eRlzc35BKpdi//0iRdY8ePYzlyxfj7t0EVKlSDUOGDEXXrm+VOQaVN9/sgL59B2DYsJEAgK1bf8Offx7ErVtxyM3NhadnbQwZMhRt23Yo03XkcjmWL/8BV69ewY0bscjNzcUffxyAs7Nz2W/CTLFn3gqo8nnm8kREREREluPkyROIi7uJJk384eDgaLR2U1MfIjp6H2QyF/j4+BZb7+LFC5gyZRIaNGiIuXPnIyjof5g16wvExBwwWizPW7duFapVc8PEiZPx1Vdfw8urLsLDw7B79x9lajc3Nxfbt2+Fra0tGjVqaqRozRt75q2ACIWJPLemIyIiIiKyHB99NA5jxowHAJw/f9Zo7Xp51cWOHfsAACtXLkVc3M0i661duwJ+fvUxaVIEAMDfPwBJSfewcuVSdOzY2WjxPGvVqo0aveXNmrVASkoyNm9ej+Dgbga36+joiN27D0IkEmHXrh04ffqEEaI1b+yZtwZPu+aZyxMRERERmYft27egT5/uCApqjXHjPkRS0l2tOmLxi0nHStNufn4+zp8/q5W0d+78BuLj7+D+/WS9r3vkyCEMHPg2OnVqheHD30Fs7FWtOkUNe69btx5SU1P1vt7zXrXFwdkzbwVerUeWiIiIiMi8HTt2BLNnf4WQkO4ICnoDN27EYtq0yQa3V1BQoLOOWCzW6+VAUtI9FBQUoFYtT41yD4/aAICEhHi4uVUvdXs3b97A1KmfIjCwFcaMGY/k5GR89lk48vPlOs+9fPkCPDw041AoFDpHHut7z9aGybwVKHwDJXCYPRERERFZHUEQIOTnm+z6IltbvXt8165dicaNmyIiYjoAIDCwJfLz87FmzQqDYujQoYXOOu++O1y9yFxpZGVlAoDWXH1HRycAQGZmph4RAhs2rEGVKtUwc+ZcSCQSAEC5cuUwa9YXJZ63b98eXL58CVFRczXK+/fviZSU+yWeGxzcDVOmzNArTmvCZN4KqBfAYy5PRERERFZEEATcnfUVcm/FmSyG8nXqouanEaVO6BUKBW7ciMWoUWM1yjt0CDI4mV+xYp3OOq6ulQ1q21iuXbuK1q3bqRN5AOjYMajEZD4u7ibmzp2JkJDuaNeug8axr7+eB7m85Jc4FSs6lyVki8dk3gqofq0IXM+eiIiIiKyNhc2DzshIh0KhgEzmolHu4uJSzBm61anjrbOOvsPNVT3wOTnZGuWqHnsnJye92nv0KBUymUyjzN7eAba25Yqsn5JyH2FhY+HrWx+ffDJF67inZ+1SDbN/lTGZtwIiMfemIyIiIiLrIxKJUPPTCIsaZu/sLINEIkF6eppGeVpaWjFn6PYihtm7u9eAVCpFQkI8AgNbqssTEuIBQGsOuy6VKrkiPT1doywnJxv5+XladTMyMjBhwmjIZDJERc2GVKqdlnKYvW5M5q2A6leL0qRREBEREREZn0gkgqhc0b275kgikcDb2weHDx9C//6D1OWHDkUb3OaLGGZva2sLf/8AHDoUjX79BqjLDx7cD0/P2notfgcAvr71cezYEYwZM1491D4mRvueHz9+jLCwsZDLCzB//lLY2zsU2R6H2evGZN4KqF8UctI8EREREZHJhYa+h8mTJyIqKlK9mv3evbu06qWk3Fdv35abm4ukpCTExBwAAI0t43x8/PSOQdVOfPwdKBRK9Wdf3/qoVs3taZzvY+zYkZg7dxY6deqMv/46h/379yAycqZGW336dEe1am5YuHBZsdcbPDgUw4eHIjw8DL169UFychJ+/HGD1jD7KVMm4ebNGwgP/wwpKfc1et8bNGio/rOXVx297/nEiWPIzX2C69evAQCOHTuMChUqwNPzNdSu/Zre7Zk7JvNW4ek+8yaOgoiIiIiIgDZt2iMsLBzr1q3CgQP74OdXH5GRURgxYqhGvfPnzyIqKlL9+dSp4zh16jgA4OjRs2WK4fmt8FSfIyKmIySkOwCgceMm+Oqr2Vi+fDF27tyGqlWr4dNPp6JTJ82953Nzn6BSpUolXs/b2weffz4LS5YswJQpk1C7thdmzIjCxImjNeqdOXMKAPDll9O12ijrPX/zzSyNlwMzZ34OQP8pCJZCJHA/sxIpFEqkpeWYOoxiSaVifDj3EHJyCzBzRAtUdalg6pCINEilYshk9khPz0FBASeDkPnhM0qWgM8pmTtjPKNyeT4ePbqPSpXcYGNja+QIyVBJSffQv39PLFu2Bn5+DUwdTplIpWKz+B2q61l3cbGHRKJ7cb9Xe/k/a/F0nL2S72WIiIiIiMiILl26gGbNAi0+kbdGHGZvBSxrsw4iIiIiIrIUwcHdEBzczdRhUBHYM28FVFtlsGOeiIiIiIjo1cBk3gqoVrPn8gdERERERESvBibzVkCdzJs2DCIiIiIiInpJmMxbARGzeSIiIiIiolcKk3kroFoAj6vZExERERERvRqYzFsBEZezJyIiIiIieqUwmbcKXM2eiIiIiIjoVcJk3gqI2TNPRERERET0SpGaOgAygqfj7DlnnoiIiIjIPGVlZSE4uCMiIqYjJKQ7AODMmZPYuXMHrl27guTkJPTu3RcTJnxa5mulp6dj7dqVuHr1MuLi/oZUKsX+/UeKrHv06GEsX74Yd+8moEqVahgyZCi6dn2rzDGovPlmB/TtOwDDho0EAGzd+hv+/PMgbt2KQ25uLjw9a2PIkKFo27ZDma4jl8uxfPkPuHr1Cm7ciEVubi7++OMAnJ2dtepevnwRCxd+h5s3/4ZMJkOvXn0waFDofwuLWwj2zFsBC3vmiIiIiIgIwMmTJxAXdxNNmvjDwcHRaO2mpj5EdPQ+yGQu8PHxLbbexYsXMGXKJDRo0BBz585HUND/MGvWF4iJOWC0WJ63bt0qVKvmhokTJ+Orr76Gl1ddhIeHYffuP8rUbm5uLrZv3wpbW1s0atS02Hr37t3FhAljUKmSK2bPnod+/QZg5cql2Lx5Q5mubwrsmbcCqjdI7JgnIiIiIrIcH300DmPGjAcAnD9/1mjtennVxY4d+wAAK1cuRVzczSLrrV27An5+9TFpUgQAwN8/AElJ97By5VJ07NjZaPE8a9WqjRq95c2atUBKSjI2b16P4OBuBrfr6OiI3bsPQiQSYdeuHTh9+kSR9TZtWoeKFSsiMjIKNjY2CAhojoyMDKxbtwp9+vSHra2twTG8bOyZtwKqjnmB2TwRERERkVnYvn0L+vTpjqCg1hg37kMkJd3VqiMWv5h0rDTt5ufn4/z5s1pJe+fObyA+/g7u30/W+7pHjhzCwIFvo1OnVhg+/B3Exl7VqlPUsPe6deshNTVV7+s9rzTD5E+ePI62bTvAxsZGXRYU9Aays7Nw5cqlMsfwMrFn3gqonlmm8kRERERkbQRBQIFcabLrS23Ees+lPnbsCGbP/gohId0RFPQGbtyIxbRpkw2OoaCgQGcdsVis18uBpKR7KCgoQK1anhrlHh61AQAJCfFwc6te6vZu3ryBqVM/RWBgK4wZMx7Jycn47LNw5OfLdZ57+fIFeHhoxqFQKHR2Vup7z0+ePMHDhw/g4eGhUe7h4QmRSITExHj4+weUuj1TYzJvBURgNk9ERERE1kcQBGzdcAEpSZkmi6FaDSf0HNREr4R+7dqVaNy4KSIipgMAAgNbIj8/H2vWrDAohg4dWuis8+67w9WLzJVGVlbhz/T5ufqOjk4AgMxM/X7mGzasQZUq1TBz5lxIJBIAQLly5TBr1hclnrdv3x5cvnwJUVFzNcr79++JlJT7JZ4bHNwNU6bMKHWMWVlZALTv2cbGBuXLl9f7nk2NybwV+K9nntk8EREREVkZC1vsWaFQ4MaNWIwaNVajvEOHIIOT+RUr1ums4+pa2aC2jeXatato3bqdOpEHgI4dg0pM5uPibmLu3JkICemOdu06aBz7+ut5kMvzS7xmxYrOZQnZ4jGZtwLqZJ65PBERERFZEZFIhJ6DmljUMPuMjHQoFArIZC4a5S4uLsWcoVudOt466+g7/17VA5+Tk61Rruqxd3Jy0qu9R49SIZPJNMrs7R1ga1uuyPopKfcRFjYWvr718cknU7SOe3rWLtUwe304Ohb2yGdna96zXC5Hbm6u3vdsakzmrYJqNXtm80RERERkXUQiEWxsJbormglnZxkkEgnS09M0ytPS0oo5Q7cXMcze3b0GpFIpEhLiERjYUl2ekBAPAFpz2HWpVMkV6enpGmU5OdnIz8/TqpuRkYEJE0ZDJpMhKmo2pFLttPRFDLO3s7NDlSpVkZgYr1GemJgAQRC01g8wd0zmrcALWgSTiIiIiIj0JJFI4O3tg8OHD6F//0Hq8kOHog1u80UMs7e1tYW/fwAOHYpGv34D1OUHD+6Hp2dtvRa/AwBf3/o4duwIxowZrx5qHxOjfc+PHz9GWNhYyOUFmD9/KeztHYps70UNs2/RohWOHDmMUaPGqV8iREfvg4ODIxo2bKx3e6bEZN4qFPbMK9kxT0RERERkcqGh72Hy5ImIiopUr2a/d+8urXopKffV27fl5uYiKSkJMTEHAEBjyzgfHz+9Y1C1Ex9/BwqFUv3Z17c+qlVzexrn+xg7diTmzp2FTp0646+/zmH//j2IjJyp0VafPt1RrZobFi5cVuz1Bg8OxfDhoQgPD0OvXn2QnJyEH3/coDXMfsqUSbh58wbCwz9DSsp9jd73Bg0aqv/s5VVH73s+ceIYcnOf4Pr1awCAY8cOo0KFCvD0fA21a78GABg48B3s378HM2ZEoFevvrh1Kw6bN6/H8OGjNLarswQigWOzS6RQKJGWlmPqMIollYoxdcUpJKZkYdL/NYGvp+FzcYheBKlUDJnMHunpOSgoMN18N6Li8BklS8DnlMydMZ5RuTwfjx7dR6VKbrCxsTVyhC/f1q2/Yd26VcjIyICfX32MGjUWI0YMRUTEdISEdAcA7Nq1A1FRkUWef/To2TJdv02bordYe/b6hdf5E8uXL0ZiYgKqVq2GwYOHolu3HhrndOvWGa+/3kwryX/en3/GYMmSBXjwIAW1a3thwoRPMXHiaPTtO0A9BaC4uApjKds99+nTvcih+aopCFKpGAUFSly+fBELFsxDXNzfcHaWoVevvhg8OFTvLQgNpetZd3Gxh0Sie/g1k3kdLCGZn7biFBJSshD2f03gx2SezAz/AUrmjs8oWQI+p2TumMxbr6Ske+jfvyeWLVsDP78Gpg6nTFTJvKkZK5nnbGsroHqDxNcyRERERERkTJcuXUCzZoEWn8hbI86ZtwLcZ56IiIiIiF6E4OBuCA7uZuowqAjsmbcCIqizeSIiIiIiInoFMJm3AqKnf4vM5YmIiIiIiF4NTOatgGrNRa5lSERERERE9GpgMm8NuAAeERERERHRK4XJvBUQc8o8ERERERHRK4XJvBVQLYDHYfZERERERESvBibz1kA9ad6kURAREREREdFLwmTeCjCXJyIiIiIierVITR0AlZ2IC+AREREREZm1rKwsBAd3RETEdISEdAcAnDlzEjt37sC1a1eQnJyE3r37YsKET8t8rfT0dKxduxJXr15GXNzfkEql2L//SJF1jx49jOXLF+Pu3QRUqVINQ4YMRdeub5U5BpU33+yAvn0HYNiwkQCArVt/w59/HsStW3HIzc2Fp2dtDBkyFG3bdijTdWJjr2LLll9x8eJfSE39B5UrV0GHDkEIDR0GOzs7jbqXL1/EwoXf4ebNvyGTydCrVx8MGhSqzqssBXvmrYDqmeOceSIiIiIiy3Hy5AnExd1Ekyb+cHBwNFq7qakPER29DzKZC3x8fIutd/HiBUyZMgkNGjTE3LnzERT0P8ya9QViYg4YLZbnrVu3CtWquWHixMn46quv4eVVF+HhYdi9+48ytRsdvR/37t3FwIHvYM6c79G37wBs374Fn346XqPevXt3MWHCGFSq5IrZs+ehX78BWLlyKTZv3lCm65sCe+atgKW9QSIiIiIiIuCjj8ZhzJjCZPP8+bNGa9fLqy527NgHAFi5cini4m4WWW/t2hXw86uPSZMiAAD+/gFISrqHlSuXomPHzkaL51mrVm2Es7Oz+nOzZi2QkpKMzZvXIzi4m8HtDhoUCplMpv7s7x8AR0cnfP75VFy/Hqt+qbFp0zpUrFgRkZFRsLGxQUBAc2RkZGDdulXo06c/bG1tDY7hZWPPvBUQcWs6IiIiIiKzsn37FvTp0x1BQa0xbtyHSEq6q1VHLH4x6Vhp2s3Pz8f582e1kvbOnd9AfPwd3L+frPd1jxw5hIED30anTq0wfPg7iI29qlXn2URepW7dekhNTdX7es96NpFX8fauBwBITf1HXXby5HG0bdsBNjY26rKgoDeQnZ2FK1culSmGl40981aAW9MRERERkbUSBAGKgnyTXV8itdV7JOyxY0cwe/ZXCAnpjqCgN3DjRiymTZtscAwFBQU664jFYr1eDiQl3UNBQQFq1fLUKPfwqA0ASEiIh5tb9VK3d/PmDUyd+ikCA1thzJjxSE5OxmefhSM/X67z3MuXL8DDQzMOhUKhM7/Rdc+XLl0AAHXbT548wcOHD+Dh4aFRz8PDEyKRCImJ8fD3D9AZr7lgMm8F/pszb9o4iIiIiIiMSRAERP/0HR4l3zFZDK7VX0On/uP0SujXrl2Jxo2bIiJiOgAgMLAl8vPzsWbNCoNi6NChhc467747XL3IXGlkZWUCgNZcfUdHJwBAZmamHhECGzasQZUq1TBz5lxIJBIAQLly5TBr1hclnrdv3x5cvnwJUVFzNcr79++JlJT7JZ4bHNwNU6bMKPJYRkYGVq1ahrZt26NmzVoAChchBLTv2cbGBuXLl9f7nk2NybwVETjQnoiIiIisjAiWtT6UQqHAjRuxGDVqrEZ5hw5BBifzK1as01nH1bWyQW0by7VrV9G6dTt1Ig8AHTsGlZjMx8XdxNy5MxES0h3t2nXQOPb11/Mgl5c8IqNiReciywsKCjB9euE6ABMnhpfuBiwQk3krIOakeSIiIiKyQiKRCJ36j7OoYfYZGelQKBSQyVw0yl1cXIo5Q7c6dbx11tF3/r2qBz4nJ1ujXNVj7+TkpFd7jx6las1bt7d3gK1tuSLrp6TcR1jYWPj61scnn0zROu7pWbtUw+yfJwgCZs6MRGzsVSxatByurq7qY46OhT3y2dma9yyXy5Gbm6v3PZsak3lrwGH2RERERGSlRCIRpDZFJ4TmyNlZBolEgvT0NI3ytLS0Ys7Q7UUMs3d3rwGpVIqEhHgEBrZUlyckxAOA1hx2XSpVckV6erpGWU5ONvLz87TqZmRkYMKE0ZDJZIiKmg2pVDstNXSY/cKF3+HgwQOYM+d71K2r+RLEzs4OVapURWJivEZ5YmICBEHQWj/A3DGZtwKq94QcZk9EREREZFoSiQTe3j44fPgQ+vcfpC4/dCja4DZfxDB7W1tb+PsH4NChaPTrN0BdfvDgfnh61tZr8TsA8PWtj2PHjmDMmPHqofYxMdr3/PjxY4SFjYVcXoD585fC3t6hyPYMGWa/fv0a/PzzJnz22RcICGhe5DktWrTCkSOHMWrUOPVLhOjofXBwcETDho113aZZYTJvBURi1Wr2Jg6EiIiIiIgQGvoeJk+eiKioSPVq9nv37tKql5JyX719W25uLpKSkhATcwAANLaM8/Hx0zsGVTvx8XegUCjVn31966NaNbencb6PsWNHYu7cWejUqTP++usc9u/fg8jImRpt9enTHdWquWHhwmXFXm/w4FAMHx6K8PAw9OrVB8nJSfjxxw1aw+ynTJmEmzdvIDz8M6Sk3NfofW/QoKH6z15edfS633379mDp0oXo0iUYbm7uuHLlsvqYu3sN9RSAgQPfwf79ezBjRgR69eqLW7fisHnzegwfPkpjuzpLYFbJ/O7du7F9+3ZcvXoVmZmZ8PDwwJAhQ/D222+XOE+lU6dOSEpK0iq/dOkSypWznCE5hlL3zDOZJyIiIiIyuTZt2iMsLBzr1q3CgQP74OdXH5GRURgxYqhGvfPnzyIqKlL9+dSp4zh16jgA4OjRs2WK4fmt8FSfIyKmIySkOwCgceMm+Oqr2Vi+fDF27tyGqlWr4dNPp6JTJ82953Nzn6BSpUolXs/b2weffz4LS5YswJQpk1C7thdmzIjCxImjNeqdOXMKAPDll9O12ijLPZ85cxIAsHfvbuzdu1vj2LP3XKNGTXz77UIsWDAPkyaNg7OzDO+9NxIDBgw2+NqmIhLMaHPy/v37w93dHZ07d4ZMJsPx48exYsUKfPTRRxg9enSx53Xq1AkNGjTAe++9p1HeuHFjvfeEfJ5CoURaWk6Z2niRpFIx5v92GWdjH+DdEB+0baTfcBiiF00qFUMms0d6eg4KCpSmDodIC59RsgR8TsncGeMZlcvz8ejRfVSq5AYbG1sjR0iGSkq6h/79e2LZsjXw82tg6nDKRCoVm8XvUF3PuouLPSQS3QsamlXP/OLFizVWeWzZsiUyMjKwevVqjBo1qsQVGl1dXdGkSZOXEKX5Ef03aZ6IiIiIiMhoLl26gGbNAi0+kbdG+u1f8IIVtV2Dr68vsrOz8fjxYxNEZBlUe28ylyciIiIiImMKDu6GefMWmToMKoJZ9cwX5dy5c6hatSocHIpe5VBlx44d+Pnnn2FjY4OAgACEhYWhXr16RolBKjWrdx4aJBKxumdeJBKZdaz0alINESrNUCEiU+AzSpaAzymZO2M8o0pl2abHEpXkv5zJfNYak0jKlr+ZdTJ/9uxZ7Nq1C59++mmJ9Tp16oRGjRqhevXquHv3LpYsWYKBAwdi69atqFmzZpliEItFkMnsy9TGy1Khgq3FxEqvHicnO1OHQFQiPqNkCfickrkryzOamytBaqq4zAkOUUnM4aWoUimCWCxGxYoVUL58eYPbMdtkPiUlBePHj0dgYCDeeeedEutOnTpV/eeAgAC0bt0awcHBWLlyJWbMmFGmOJRKAZmZ5jvEXyIRQ/x0a7qcnDykp5vvYn30apJIxHByskNm5hMoFKZfcIToeXxGyRLwOSVzZ4xnND8/D0qlEgqFYBaLlJF1EYkKn1OFQmnynnmFQoBSqcS//z7GkycKreNOTnaWtwCeSmZmJoYPHw5nZ2csWLCgxIXvilKlShW8/vrruHr1qlHisZRfJgqF0mJipVcPn08yd3xGyRLwOSVzV5ZnVKEwk7HPZJVUCbypE/lnlfXFldkl87m5uRg5ciSysrLw008/wdHR0dQhmT3V/A8zei6JiIiIiIjoBTL9hIFnFBQU4OOPP8bt27exYsUKVK1a1aB2Hjx4gHPnzqFhw4ZGjtA8iZ5m8+b0lomIiIiIiIheHLPqmY+MjERMTAwmT56M7OxsXLhwQX3Mz88Ptra2CA0NRXJyMvbv3w8A+OOPPxATE4P27dujSpUquHv3LpYtWwaJRIJ3333XRHfycqm3mWc2T0RERERE9Eowq2T+2LFjAIBZs2ZpHYuOjkaNGjWeLorx3yIBNWrUwMOHDxEVFYWsrCw4OjqiRYsWGDt2bJlXsrcU6p55E8dBRERERERFy8rKQnBwR0RETEdISHcAwJkzJ7Fz5w5cu3YFyclJ6N27LyZMKHknr9I4c+YU/vhjK65evYL09DS4uVVHSEh39Os3EFKpZgp49OhhLF++GHfvJqBKlWoYMmQounZ9q8wxqLz5Zgf07TsAw4aNBABs3fob/vzzIG7dikNubi48PWtjyJChaNu2Q5muI5fLsXz5D7h69Qpu3IhFbm4u/vjjAJydnbXqXr58EQsXfoebN/+GTCZDr159MGhQqDqvshRmlcwfPHhQZ53169drfG7SpIlW2atG/cgxmyciIiIishgnT55AXNxNNGnij8zMTKO1u23b78jLy8WwYSNRtWo1XL16BStXLkV8/B1ERExX17t48QKmTJmEbt16YNy4iTh37gxmzfoCFSpUQMeOnY0Wz7PWrVuFwMCW6NmzDypUsMPBg9EIDw/DlCkzEBzczeB2c3NzsX37Vvj6+qFRo6Y4ffpEkfXu3buLCRPGoFmzQAwf/iFu3bqJJUsWQiyWYODAIQZf3xTMKpknw7BnnoiIiIjI8nz00TiMGTMeAHD+/FmjtRsWFq7RI+3vHwBBUGL58sUYNWqc+tjatSvg51cfkyZFqOslJd3DypVLX1gyv2rVRo3YmjVrgZSUZGzevL5MybyjoyN27z4IkUiEXbt2FJvMb9q0DhUrVkRkZBRsbGwQENAcGRkZWLduFfr06Q9bW1uDY3jZzGoBPDKMejV7zpknIiIiIjIL27dvQZ8+3REU1Brjxn2IpKS7WnX03YK7tIoaWl63bj0IgoBHj1IBAPn5+Th//qxW0t658xuIj7+D+/eT9b7ukSOHMHDg2+jUqRWGD38HsbHaW4UXF1tqaqre13teaYbJnzx5HG3bdoCNjY26LCjoDWRnZ+HKlUtljuFlYs+8NVAn86YNg4iIiIjI2ARBAMqwF3eZScV6z6U+duwIZs/+CiEh3REU9AZu3IjFtGmTDQ6hoKBAZx2xWFziy4FLly7A1tYWbm7VAQBJSfdQUFCAWrU8Nep5eNQGACQkxKvrlsbNmzcwdeqnCAxshTFjxiM5ORmffRaO/Hy5znMvX74ADw/NOBQKhc7OSl33/LwnT57g4cMH8PDw0Cj38PCESCRCYmI8/P0DSt2eqTGZtwJiC1uogYiIiIioNARBQPbuOCj+eWyyGCRVKsDhzTp6JfRr165E48ZN1fPTAwNbIj8/H2vWrDAohg4dWuis8+67w9WLzD3v7t1E/Prrj+jR421UqFABAJCVVThH38HBUaOuo6MTAOg9h3/DhjWoUqUaZs6cC4lEAgAoV64cZs36osTz9u3bg8uXLyEqaq5Gef/+PZGScr/Ec4ODu2HKlBmljjErKwuA9j3b2NigfPnyRl234GVgMm9FOMyeiIiIiKyOhfVbKRQK3LgRi1GjxmqUd+gQZHAyv2LFOp11XF0rF1mek5ONKVMmwc2tOkaMGGXQ9Uvj2rWraN26nTqRB4COHYNKTObj4m5i7tyZCAnpjnbtOmgc+/rreZDL80u8ZsWKzmUJ2eIxmbcC6jnzpg2DiIiIiMioRCIRHN6sY1HD7DMy0qFQKCCTuWiUu7i4FHOGbnXqeOusU9Rwc7lcjoiIScjKysKSJatgZ2enPqbqgc/JydY4R9Vj7+TkpFeMjx6lQiaTaZTZ2zvA1rZckfVTUu4jLGwsfH3r45NPpmgd9/SsXaph9vpwdCzskc/O1rxnuVyO3Nxcve/Z1JjMWwHR09eV7JknIiIiImsjEokAG4nuimbC2VkGiUSC9PQ0jfK0tLRiztDNkGH2SqUSkZFTceNGLBYtWoGqVatp1Hd3rwGpVIqEhHgEBrZUlyckxAOA1hx2XSpVckV6erpGWU5ONvLz87TqZmRkYMKE0ZDJZIiKmg2pVDstfRHD7O3s7FClSlUkJsZrlCcmJkAQBK31A8wdk3krwCnzRERERETmQSKRwNvbB4cPH0L//oPU5YcORRvcpiHD7L/99mscP34E33yzAF5edbTq29rawt8/AIcORaNfvwHq8oMH98PTs7Zei98BgK9vfRw7dgRjxoxXD7WPidG+58ePHyMsbCzk8gLMn78U9vYORbb3oobZt2jRCkeOHMaoUePULxGio/fBwcERDRs21rs9U2IybwVUw36U7JgnIiIiIjK50ND3MHnyRERFRapXs9+7d5dWvZSU++rt23Jzc5GUlISYmAMAoLFlnI+Pn17XX7duFbZu/Q0DBw6BjY0trly5rD5Wu3ZtdQIdGvo+xo4diblzZ6FTp874669z2L9/DyIjZ2q016dPd1Sr5oaFC5cVe83Bg0MxfHgowsPD0KtXHyQnJ+HHHzdoDbOfMmUSbt68gfDwz5CScl+j971Bg4bqPxf1AkKXEyeOITf3Ca5fvwYAOHbsMCpUqABPz9dQu/ZrAICBA9/B/v17MGNGBHr16otbt+KwefN6DB8+SmO7OksgEjg2u0QKhRJpaTmmDqNYUqkYGw/cxN6TCejVtja6t65t6pCINEilYshk9khPz0GBKee7ERWDzyhZAj6nZO6M8YzK5fl49Og+KlVyg42NrZEjfPm2bv0N69atQkZGBvz86mPUqLEYMWIoIiKmIySkOwBg164diIqKLPL8o0fPGnzt0aNH4MKF80Uemz9/icb2a0eP/onlyxcjMTEBVatWw+DBQ9GtWw+Nc7p164zXX2+mleQ/788/Y7BkyQI8eJCC2rW9MGHCp5g4cTT69h2gngLQpk3xW7+V5Z6BwpcORQ3NV01BkErFKChQ4vLli1iwYB7i4v6Gs7MMvXr1xeDBoXpvQWgoXc+6i4s9JBLd6wEwmdfBEpL5TdFx2HMiHj3b1sZbTObJzPAfoGTu+IySJeBzSuaOybz1Skq6h/79e2LZsjXw82tg6nDKRJXMm5qxknn9lv8js6R6f8TXMkREREREZEyXLl1As2aBFp/IWyPOmbcGqq3pmM0TEREREZERBQd3Q3BwN1OHQUVgz7wVEHM5eyIiIiIiolcKk3kroErluZo9ERERERHRq4HJvDVQd8wzmyciIiIiInoVMJm3AqotFDhlnoiIiIiI6NXAZN4KcMo8ERERERHRq4XJvBUQPR1nr2TXPBERERER0SuBybwVUPfMM5cnIiIiIiJ6JTCZtwLqOfMmjoOIiIiIiIheDqmpA6CyU3fMc5g9EREREZFZysrKQnBwR0RETEdISHcAwJkzJ7Fz5w5cu3YFyclJ6N27LyZM+LTM1zpz5hT++GMrrl69gvT0NLi5VUdISHf06zcQUqlmCnj06GEsX74Yd+8moEqVahgyZCi6dn2rzDGovPlmB/TtOwDDho0EAGzd+hv+/PMgbt2KQ25uLjw9a2PIkKFo27ZDma4TG3sVW7b8iosX/0Jq6j+oXLkKOnQIQmjoMNjZ2WnUvXz5IhYu/A43b/4NmUyGXr36YNCgUHUnqaVgMm8FVM8cc3kiIiIiIstx8uQJxMXdRJMm/sjMzDRau9u2/Y68vFwMGzYSVatWw9WrV7By5VLEx99BRMR0db2LFy9gypRJ6NatB8aNm4hz585g1qwvUKFCBXTs2Nlo8Txr3bpVCAxsiZ49+6BCBTscPBiN8PAwTJkyA8HB3QxuNzp6P+7du4uBA99BzZq1cOfObaxcuRTXrl3B/PlL1PXu3buLCRPGoFmzQAwf/iFu3bqJJUsWQiyWYODAIca4xZeGyTwREREREZEJfPTROIwZMx4AcP78WaO1GxYWDmdnZ/Vnf/8ACIISy5cvxqhR49TH1q5dAT+/+pg0KUJdLynpHlauXPrCkvlVqzZqxNasWQukpCRj8+b1ZUrmBw0KhUwmU3/29w+Ao6MTPv98Kq5fj4WPjy8AYNOmdahYsSIiI6NgY2ODgIDmyMjIwLp1q9CnT3/Y2toaHMPLxjnzVkAs5j7zRERERETmZPv2LejTpzuCglpj3LgPkZR0V6uOWPxi0rFnk2WVunXrQRAEPHqUCgDIz8/H+fNntZL2zp3fQHz8Hdy/n6z3dY8cOYSBA99Gp06tMHz4O4iNvVrq2FJTU/W+3rOeTeRVvL3rAQBSU/9Rl508eRxt23aAjY2Nuiwo6A1kZ2fhypVLZYrhZWPPvBXhnHkiIiIisjaCIKCgoMBk15dKpXrPpT527Ahmz/4KISHdERT0Bm7ciMW0aZMNjqE09y8Wi0t8OXDp0gXY2trCza06ACAp6R4KCgpQq5anRj0Pj9oAgISEeHXd0rh58wamTv0UgYGtMGbMeCQnJ+Ozz8KRny/Xee7lyxfg4aEZh0Kh0JnflOaeAajbfvLkCR4+fAAPDw+Neh4enhCJREhMjIe/f4DOeM0Fk3krwNXsiYiIiMgaCYKAPXu2459/HpgshsqVq+LNN9/SK6Ffu3YlGjduqp6fHhjYEvn5+VizZoVBMXTo0EJnnXffHa5eZO55d+8m4tdff0SPHm+jQoUKAICsrMI5+g4Ojhp1HR2dAEDvOfwbNqxBlSrVMHPmXEgkEgBAuXLlMGvWFyWet2/fHly+fAlRUXM1yvv374mUlPslnhsc3A1Tpswo8lhGRgZWrVqGtm3bo2bNWgAKFyEEtO/ZxsYG5cuXN+q6BS8Dk3krwH3miYiIiIjMg0KhwI0bsRg1aqxGeYcOQQYn8ytWrNNZx9W1cpHlOTnZmDJlEtzcqmPEiFEGXb80rl27itat26kTeQDo2DGoxGQ+Lu4m5s6diZCQ7mjXroPGsa+/nge5PL/Ea1as6FxkeUFBAaZPL1wHYOLE8NLdgAViMm8FRE83p1MymyciIiIiKyISifDmm29Z1DD7jIx0KBQKyGQuGuUuLi7FnKFbnTreOusUNdxcLpcjImISsrKysGTJKo0t2lQ98Dk52RrnqHrsnZyc9Irx0aNUrXnr9vYOsLUtV2T9lJT7CAsbC1/f+vjkkylaxz09a5dqmP3zBEHAzJmRiI29ikWLlsPV1VV9zNGxsEc+O1vznuVyOXJzc/W+Z1NjMm8F2DNPRERERNZKJBJpLFZm7pydZZBIJEhPT9MoT0tLK+YM3QwZZq9UKhEZORU3bsRi0aIVqFq1mkZ9d/cakEqlSEiIR2BgS3V5QkI8AGjNYdelUiVXpKena5Tl5GQjPz9Pq25GRgYmTBgNmUyGqKjZkEq101JDh9kvXPgdDh48gDlzvkfdupovQezs7FClSlUkJsZrlCcmJkAQBK31A8wdk3krwFyeiIiIiMg8SCQSeHv74PDhQ+jff5C6/NChaIPbNGSY/bfffo3jx4/gm28WwMurjlZ9W1tb+PsH4NChaPTrN0BdfvDgfnh61tZr8TsA8PWtj2PHjmDMmPHqofYxMdr3/PjxY4SFjYVcXoD585fC3t6hyPYMGWa/fv0a/PzzJnz22RcICGhe5DktWrTCkSOHMWrUOPVLhOjofXBwcETDho113aZZYTJvBUTqremYzhMRERERmVpo6HuYPHkioqIi1avZ7927S6teSsp99fZtubm5SEpKQkzMAQDQ2DLOx8dPr+uvW7cKW7f+hoEDh8DGxhZXrlxWH6tdu7Y6gQ4NfR9jx47E3Lmz0KlTZ/z11zns378HkZEzNdrr06c7qlVzw8KFy4q95uDBoRg+PBTh4WHo1asPkpOT8OOPG7SG2U+ZMgk3b95AePhnSEm5r9H73qBBQ/Wfi3oBUZJ9+/Zg6dKF6NIlGG5u7hr37O5eQz0FYODAd7B//x7MmBGBXr364tatOGzevB7Dh4+yqBEgAJN5q6DumWcuT0RERERkcm3atEdYWDjWrVuFAwf2wc+vPiIjozBixFCNeufPn0VUVKT686lTx3Hq1HEAwNGjZw2+/unTJwEAmzatx6ZN6zWOzZ+/RL39WuPGTfDVV7OxfPli7Ny5DVWrVsOnn05Fp06ae8/n5j5BpUqVSrymt7cPPv98FpYsWYApUyahdm0vzJgRhYkTR2vUO3PmFADgyy+na7VRlns+c6bwnvfu3Y29e3drHIuImI6QkO4AgBo1auLbbxdiwYJ5mDRpHJydZXjvvZEYMGCwwdc2FZHA7twSKRRKpKXlmDqMYkmlYuw7dw8bdl9Hu8ZuGBrsa+qQiDRIpWLIZPZIT89BQYHS1OEQaeEzSpaAzymZO2M8o3J5Ph49uo9KldxgY2Nr5AjJUElJ99C/f08sW7YGfn4NTB1OmUilYrP4HarrWXdxsYdEor243/N01yCzJ1btM8/XMkREREREZESXLl1As2aBFp/IWyMOs7ciTOaJiIiIiMiYgoO7ITi4m6nDoCKwZ94KqPa9FLiePRERERER0SuBybwVEHNvOiIiIiIiolcKk3mrUJjNK5nMExERERERvRKYzFsBkapnnl3zRERERERErwQm81ZAlcwzlSciIiIiIno1MJm3AiJm80RERERERK8UJvNWQDXKXsm96YiIiIiIiF4JTOatgUh3FSIiIiIiIrIeUlMHQGUnFnE1eyIiIiIic5aVlYXg4I6IiJiOkJDuAIAzZ05i584duHbtCpKTk9C7d19MmPBpma8VG3sVS5cuwu3bt5CVlQmZzAXNmgVi+PAP4epaWaPu5csXsXDhd7h582/IZDL06tUHgwaF/jeVt4yGDh2IunW9MWXKDADAwYMHsG/fLty4cR1ZWZmoUaMW+vTpj65d3yrTNbOzszFzZiRu3LiOtLQ0VKhgh3r1/PD++yPh61tfo25q6j+YN282Tp8+BalUivbtO2LMmPGwt3coy62+dEzmrYD46UbzArN5IiIiIiKLcfLkCcTF3USTJv7IzMw0WrtZWVnw8PBE9+49IZO5IDk5CWvWrMD169ewfPk62NraAgDu3buLCRPGqBP9W7duYsmShRCLJRg4cIjR4nnWTz9tRLVqbhg9+mM4O8tw5swpzJ79FR4+fID33hthcLtyeT5sbcth6NBhcHNzR3Z2Nn75ZTPGjv0QK1euR61aHgCAgoICTJgwGgAwffqXyMvLxaJF3yMycipmz/7OGLf40jCZtwL/9cwzmSciIiIishQffTQOY8aMBwCcP3/WaO02b94CzZu3UH/29w9A1apVMX78aNy4EYuGDRsDADZtWoeKFSsiMjIKNjY2CAhojoyMDKxbtwp9+vRXJ/3G9PXX8+Ds7Kz+/PrrzfDvv//ip582YujQ9yEWGzYTXCZzwfTpX2qUNWsWiK5dg3DoUDTeeec9AEBMzAHcuXMbGzf+glq1PAEAjo5OmDBhNK5duwI/vwYGXd8UOGfeCqh65pXsmSciIiIiMgvbt29Bnz7dERTUGuPGfYikpLtadQxNXA3h5OQMAJDL5eqykyePo23bDrCxsVGXBQW9gezsLFy5cknva1y+fBHvvTcYnTq1wpAh/XDixDGtOs8m8ire3vWQk5OD3Nwnel+zJHZ2drC1tdW6Zy+vuupEHihM+p2cKhYZrzljz7wV4Jx5IiIiIrJWgiBAUMp1V3xBRGIbvedyHzt2BLNnf4WQkO4ICnoDN27EYtq0yQbHUFBQoLOOWCzWejmgUCigVCqRnJyEH36YD29vHzRq1AQA8OTJEzx8+AAeHh4a53h4eEIkEiExMR7+/gGljvHRo1RMmDAGXl518PnnM5GVlYVvvpmF3NwnqFvXu8RzL126gMqVq6BCBXuN2AUdI49FIhEkEolGmVKphFKpREZGBjZvXgeRSIw33+yqPp6YGK91zyKRCB4eHkhMjC/l3ZoHJvNWQPWd1fWwExERERFZEkEQ8ODmauTn3DNZDOXsa6JK3aF6JfRr165E48ZNERExHQAQGNgS+fn5WLNmhUExdOjQQmedd98djmHDRmqUjR49ApcvXwQA+Pj4Ye7c7yGVFqaA2dlZAAAHB0eNc2xsbFC+fHm95/D//PNmiEQizJ07Hw4OhQvJValSFePGfVjieRcvXkB09D6MHv2xRvm4cR/iwoXzJZ7bpIk/Fi5cplG2YsUSrFu3CkDh0Pu5c7+Hu3sN9fGsrCytewYKh9obc92Cl4HJvBXgnHkiIiIislYiC9uHWaFQ4MaNWIwaNVajvEOHIIOT+RUr1ums8/wq9QAQHj4NWVnZSEq6i40b1+Ljj0dh8eKVL2TV9mvXrsDf/3V1Ig8Uzod3cqpY7DkPHz7A9OnhaNo0AH36/J/GsU8+icDjx49LvGaFChW0ynr37ot27TogNTUVf/yxFWFh4/D994tRr56Pnndk/pjMWwHOmSciIiIiayQSiVCl7lCLGmafkZEOhUIBmcxFo9zFxaWYM3SrU6fkYepA0fPvVfPC69dvgICA5ujTpzu2bduCgQOHqHuns7OzNc6Ry+XIzc2Fk5OTXjE+epSKGjVqapXLZLIi62dlZSEsbCwqVqyIr76arRW/u3vNUg2zf56ra2X1i41Wrdrg/fffwcqVS9Qr1Ts6Omrdc2E8mahSpWqJ1zM3TOatgDqZZy5PRERERFZGJBJBJDH+quovirOzDBKJBOnpaRrlaWlpxZyhm6HD7J/l4lIJlStXUS/EZ2dnhypVqmrNE09MTIAgCBoLxJVGpUquWvcMAOnp6VpleXm5+OSTj5GdnY2lS1dr9OarGDrM/llisRje3vVw6dIFdVmtWp64fTtOo54gCEhMTEBAQGCJ1zM3TOatAIfZExERERGZB4lEAm9vHxw+fAj9+w9Slx86FG1wm4YOs3/WgwcpSEm5j+rV3dVlLVq0wpEjhzFq1Dj1XPro6H1wcHBUb19XWr6+9bF162/Izs5WJ+fnzp1BZua/GvUKCgowbVo4EhLisWjRclSuXKXI9gwdZv/8ta5du6J1z/v27cbdu4moWbMWAODs2dP4999/0bJla533aU6YzFsBVc+8wK55IiIiIiKTCw19D5MnT0RUVKR6Nfu9e3dp1UtJuY/Y2KsAgNzcXCQlJSEm5gAAoGPHzup6Pj5+el1/zpwoVKzoDB8fPzg4OCAxMR4//rgRLi6V0K1bD3W9gQPfwf79ezBjRgR69eqLW7fisHnzegwfPkpju7rRo0cgJeU+fv11R7HX7NdvILZs+QVhYWMxeHAosrKysHLlUlSsqDln/ptvvsbx40cwevTHyMnJwZUrl9XHvL3rqfe213dkwLZtvyM29ioCApqjUiVXpKU9wrZtvyMxMQETJ/63k0DHjp2xfv1qTJ36CUaM+Ai5ublYtOg7tGrVxqL2mAeYzFuF/4bZM5knIiIiIjK1Nm3aIywsHOvWrcKBA/vg51cfkZFRGDFiqEa98+fPIioqUv351KnjOHXqOADg6NGzBl/f17c+tm/fgt9//wVyeT6qVq2GFi1a45133kXFis7qejVq1MS33y7EggXzMGnSODg7y/DeeyMxYMBgjfZyc3Ph4lKpxGu6urpi7tz5+O67OZg2bTLc3WtgwoRPsWzZDxr1zpw5CQBYuPA7rTZ++WU73NyqG3TPtWu/hj//jMH333+D7OwsuLhUgq+vH5YvX6exNZ5UKsU33yzAd9/NwYwZUyCRSNC+fUeMHTvBoOuakkjgfmYlUiiUSEvLMXUYxZJKxbiVko3IFSfhUdUR099tZuqQiDRIpWLIZPZIT89BQYHS1OEQaeEzSpaAzymZO2M8o3J5Ph49uo9KldxgY2M5c+StXV5eLt58syOmTv0cQUH/M3U4ZSKVis3id6iuZ93FxR4SifaChs/TXYPMHufMExERERHRixAbew3Vq7ujY8cgU4dCz+Eweyug2sWBgyyIiIiIiMiYmjTxx8aNv5o6DCoCe+atALemIyIiIiIierUwmbcC6mH2zOaJiIiIiIheCUzmrQBXsyciIiIiInq1MJm3Aupknj3zRERERERErwQm81ZANcyeC+ARERERERG9GpjMWwEugEdERERERPRqYTJvBbgAHhERERER0auF+8xbAS6AR0RERERk3rKyshAc3BEREdMREtIdAHDmzEns3LkD165dQXJyEnr37osJEz4t87XS09Oxdu1KXL16GXFxf0MqlWL//iNF1j169DCWL1+Mu3cTUKVKNQwZMhRdu76lUUcul2PZsh+wd+8uPH6cgwYNGmHChE9Qq5ZnmWMFgMOHDyEiIgy//LIdbm7VkZqaip9/3ojTp08hKekeHBwc0LhxU3zwwWhUq+ZWpmtdv34Nv//+C65evYzExAS0bNkas2d/p1VPEARs2LAWW7b8goyMDNSt640xYyagQYOGGvVSU//BvHmzcfr0KUilUrRv3xFjxoyHvb1DmeIsjTL1zCcnJ+Ozzz5Dly5d0Lx5c5w5cwYAkJaWhi+//BLXrl0zSpBUsqe5PJjLExERERFZjpMnTyAu7iaaNPGHg4Oj0dpNTX2I6Oh9kMlc4OPjW2y9ixcvYMqUSWjQoCHmzp2PoKD/YdasLxATc0Cj3nffzcGOHVswYsQofPXVHMjlcowbNwrZ2dlGi/lZN27E4s8/Y9CpU2fMmvUNRo8ej9u34zB8eCjS09PL1PalSxdx8eJf8Pb2QdWq1Yqtt2HDWqxatRT9+w/E7NnzUKmSKyZMGI2kpHvqOgUFBZgwYTTu3k3E9OlfIixsMk6fPonIyKllirG0StUzf/PmTdStW1ejLC4uDoMGDYJSqUSjRo2QmJiIgoICAICLiwvOnTuHx48fIyoqyvhRkwauZk9EREREZHk++mgcxowZDwA4f/6s0dr18qqLHTv2AQBWrlyKuLibRdZbu3YF/PzqY9KkCACAv38AkpLuYeXKpejYsTMA4OHDB/jjj22YMOFTdOvWAwDg6+uHt9/uhm3bfsOgQaFGi1ulUaMm2LjxV0il/6WrDRs2wttvd8OePTsxYMBgg9vu06c/+vUbAAAYPXpEkXXy8vKwYcNq/N//DUb//oMAAI0bN8WAAb2xefMGhIVNBgDExBzAnTu3sXHjL+pRCo6OTpgwYTSuXbsCP78GBsdZGqXqmd+7dy/Gjh2L/Px8ddmcOXPg6OiIvXv3Ys6cOVorqbdv3x7nzp0zbrRUJA6zJyIiIiIyL9u3b0GfPt0RFNQa48Z9iKSku1p1xOIXs4RZadrNz8/H+fNn1Um7SufObyA+/g7u308GAJw+fRJKpVKjnpNTRTRr1gInThzTO7aCggJ8//03CA7uhC5d2mPmzM/x5MljjTqOjo4aiTwAVKlSFc7OMqSm/qP3NZ9Vmp/NlSuXkJOTg06d/rtnGxsbtG/fESdP/nfPJ08eh5dXXY3pBs2aBcLJqaJBPxt9lerpefvtt5GSkoKhQ4ciMzMTAHDmzBkMGDAALi4uED1dgO1Z1atXx4MHD4wbLRVJvQAek3kiIiIisjKCICBfoTTZf4Zs/3zs2BHMnv0V/P0DEBU1F6+/3gzTpk02+GdQUFCg8z+lUqlXm0lJ91BQUKA1793DozYAICEhHgCQmBgPmcwFTk5Oz9XzRGJigt73smTJQmzZ8gsGDhyCzz+fBaVSiSVLFuo8LzExAenpafD0rK0uEwShVD8bff8OVfde1M/mwYMU5OXlPo0pHh4eHhp1RCIRPDw8kJgYr9c1DVGqYfZubm7YtGkT5syZgw0bNmDUqFEQBAHly5cv9py0tDTY2toaLVAq3n/D7E0cCBERERGREQmCgKXX7yExO9dkMXg4lMcInxpFdmAWZ+3alWjcuCkiIqYDAAIDWyI/Px9r1qwwKIYOHVrorPPuu8MxbNjIUreZlVXYSfv8XH1Hx8KkXdWJm5WVBQcH7cXcHB2dkJn5b6mvV9jmv9iy5RcMHjwUQ4a8C6DwZzN69Aj888/DYs8TBAHffTcXrq6V0blzF3X5X3+dw9ixH+i87vz5S+DvH1DqOLOyMmFra4ty5cpplDs6OkIQBGRlZaFcufJPfzbaax0U/mwyS309Q5V6NXupVIrw8HBkZWUBAPz8/PDnn39i0KBBWnULCgqwc+dONG7c2HiRUrEkT5N5Q94aEhERERGZs9Kn0OZBoVDgxo1YjBo1VqO8Q4cgg5P5FSvW6azj6lrZoLZfplu34pCXl4d27TpolLdv3wkXLpwv9rxVq5bh3LnT+OabBbCzs1OX+/j4lupnU6uWh846lkjvrekcHQvfPIwYMQIffPABpk+fjq5duwIAHj16hOPHj2PJkiW4ffs2PvvsM+NGS0UScZ95IiIiIrJCIpEII3xqQG7Cf+faiEV69cpnZKRDoVBAJnPRKHdxcSnmDN3q1PHWWUff+feqHvicHM0V6VU99qph9Y6Ojlp1VPWcnCrqdc1Hj1IBQK+fzfbtW7B69XJMnjwNAQHNNY7Z2VUo1c9GIpHoFaejoxPy8/ORl5en0TuflZUFkUikzokdHR2LXNE/KysTVapU1euahjB4n/n27dtj5syZiIqKws8//wwAmDRpEgRBgIODA77++ms0a9bMaIFS8VRz5gUU9s7r88vmVScIAm5mPsajXDkauTjC3ka/LzoRERERvVgikQi2Esv5962zswwSiQTp6Wka5WlpacWcoduLGGbv7l4DUqkUCQnxCAxsqS5XzRf38PAEUDhvPC0tDZmZmRrz5hMT4/Xu8a5UyRUAkJ6ehsqVq6jLi/vZ/PlnDL75Zhbef/8D9Ur6z3pRw+xV956YmIC6df97WZCQEI+qVauhXLnC6ea1anni9u04jXMFQUBiYgICAgJLfT1DGZzMA0DPnj3xxhtv4Pjx44iPj4dSqUStWrXQpk2bIudV6LJ7925s374dV69eRWZmJjw8PDBkyBC8/fbbJSaogiBg+fLl2LRpE9LS0uDr64vw8HA0adKkDHdnOVRz5oHCRfAkTOZL7XBKOvbeewQAOJKSjlF+NeFgU6avBRERERG9wiQSCby9fXD48CH1tmYAcOhQtMFtvohh9ra2tvD3D8ChQ9HqrdoA4ODB/fD0rA03t+oAgObNW0AsFuPPPw+ie/eeAArn058+fQpDhw7T65peXnVQrlw5HD58CN7ePuryP/88qFX3/PmziIycgu7de2Lo0PeLbO9FDbNv0KAR7O3tERNzQJ3MFxQU4PDhGLRo0Vpdr0WLVti3bzfu3k1EzZq1AABnz57Gv//+i5YtWxfZtjEZnLWcOXMGXl5ecHFxQefOnbWOp6Wl4datW3r1zq9Zswbu7u6YPHkyZDIZjh8/jmnTpiElJQWjR48u9rzly5dj/vz5CAsLQ7169bBx40a899572LZtG2rWrGnQ/VmSZ5N5TpsvvfQ8OQ4kFSbyUpEIGfkF2HfvEXrXfvFDYoiIiIjIeoWGvofJkyciKioSQUFv4MaNWOzdu0urXkrKfcTGXgUA5ObmIikpCTExBwBAYys4Hx8/vWNQtRMffwcKhVL92de3PqpVc3sa5/sYO3Yk5s6dhU6dOuOvv85h//49iIycqW6nSpWq6NatBxYt+h5isRiVK1fBunWr4ODggB493lbXO3/+LMaO/QAREdMREtK9yJicnCqiZ8+3sWHDGpQrVw7e3j44cGAvkpLuadSLj7+DiIgw1KhRE126hODKlcvqYzKZDO7uNQAAFSrY6/2zSU9Px4ULhVuoZ2Rk4MmTJ+qfTcuWbVC+fHmUK1cOgwe/i9Wrl8HZWQYvrzrYsuUX/Pvvvxp73Hfs2Bnr16/G1KmfYMSIj5Cbm4tFi75Dq1ZtXvge8wAgEgxcNc3X1xezZ89G9+5F/0Xt2rULEydORGxsbKnbTEtL05ovMW3aNOzatQtnzpwpch5IXl4eWrVqhUGDBmHChAkACvdMfPPNN9GuXTvMmDGj9DdVBIVCibS0nDK18SJJpWKUs7NF/ymFvxyWTGwPWw4VL5V991Jx6H46XnO0w//cK2Hp9XuQikSY3KQ2Kkj5MzQWqVQMmcwe6ek5KCjglgtkfviMkiXgc0rmzhjPqFyej0eP7qNSJTfY2Fj+rlhbt/6GdetWISMjA35+9TFq1FiMGDFUI9ndtWsHoqIiizz/6NGzZbp+mzZFDyt/Ptk+evRPLF++GImJCahatRoGDx6qNaQ9Pz8fy5b9gL17d+Hx4xw0bNgY48d/oh6ODgDHjx/FJ598jLlz56NFi1bFxiWXy7Fo0XfYs2cXBEGJdu06IiCgOb744jP88st2uLlVL/HnEhzcDVOmzCj9D+IZUqkYp0+fLnZovur6QOHo7w0b1mDLll+RkZGOOnW8MXbsBDRo0EjjnH/+eYjvvpuD06dPQSKRoH37jhg7dgLs7Ysfqa7rWXdxsYdEonsNBIOTeR8fH8yZM6fYZH7r1q2YOnUqrly5Ykjzaps2bUJkZCTOnTtX5ND9EydOYOjQodi6dSt8fX3V5TNnzsT+/ftx8KD2kA19WEIyb2dfDn3DdwIAfpjQDuVtOUxcF6UgYPbFeGTKCzDAqxoayByw8Goi7j/JR7daldGqqrOpQ7Qa/AcomTs+o2QJ+JySuWMyT8uXL8bhwzFYt+4ns13DSyoVm8XvUGMl83plfcnJyUhKSlJ/vn37Ns6cOaNVLzMzEz/++COqV6+uT/NFOnfuHKpWrVrsHPzbt28DAF577TWNci8vL6xduxa5ubkoX758meMwZ5Jn58yb/tm0CMmP85ApL0A5iRi+zvYQiUR4vXJF/JH4D66kZTGZJyIiIiLSw+XLFzFkyHtmm8hbI72S+d9//x0LFy6ESFS4PcOSJUuwZMkSrXqCIEAikSAysuihEaV19uxZ7Nq1C59++mmxdTIzM2Fra6uxZQBQuJWCIAj4999/y5zMS6X6bfPwMkkkYvVq9gAglojMOl5zcSf7CQDAy6mCeiRDg0oO+CPxHyTm5EIOAXYcam8UqreKpXm7SGQKfEbJEvA5JXNnjGdUqWQSaMnmz9fOC82JKmUSicxnnTFJGXM3vZL54OBg1K1bF4Ig4OOPP8aQIUMQEKA5F0MkEsHOzg6+vr5wdXU1OLCUlBSMHz8egYGBeOeddwxup6zEYhFkMnuTXb80np0p4eRkh4oO5UqoTQAQ/3cyAKCRm7P671cGe1T9OxkPcvKQolDCv7JTSU2Qnpyc7EwdAlGJ+IySJeBzSuauLM9obq4EqaniMic4RCUxh5eiSqUIYrEYFStWKFPHs17JvJeXF7y8vAAUzkkPCAh4IavFZ2ZmYvjw4XB2dsaCBQuKXPhOxcnJCfn5+cjLy9Ponc/MzIRIJELFihXLFItSKSAz83GZ2niRJBKxxi/NtPQcKOUFJozI/CkFAXHp2QCA6jZSpKf/tyaCl6MdHuTk4WJyGmqXszFViFZF9YxmZj6BQsF5IGR++IySJeBzSubOGM9ofn4elEolFArBLOY1k3URiQqfU4VCafKeeYVCgFKpxL//PsaTJwqt405OdsafM/+sXr16GXpqiXJzczFy5EhkZWXhp59+gqOjY4n1VXPl79y5Ax+f//YqvH37NqpXr26U+fKW8MtELBJBKQiQy5UWEa8pPXiSB7lSgK1YBBcbqcbPq2aFwuclMesJf45GplDw2STzxmeULAGfUzJ3ZXlGFQozGftMVkmVwJs6kX9WWV9clTqZDw8Ph0gkwhdffAGJRILw8HCd54hEIkRFRZU6mIKCAnz88ce4ffs2Nm7ciKpVde/37e/vDwcHB+zevVudzMvlcuzbtw/t2rUr9bUtnVgMKBWFIwmoZEk5eQAAtwrlNNYbAIBaDoXJfPLjPMiVStiUMCqEiIiIiIzPwM22iCyGsZ7xUifzp06dgkgkglKphEQiwalTp3Seo+9KhpGRkYiJicHkyZORnZ2NCxcuqI/5+fnB1tYWoaGhSE5Oxv79+wEA5cqVw8iRI7FgwQK4uLjA29sbmzdvRkZGBoYNG6bX9S1ZYVIqQMlffjqpknl3e+1RG862UjhIJcguUCA5Jw8ejpybSERERPQySCSFiw/n5+fB1pZrQJH1ys8vzEckkrJtKV7qs5/fr72s+7cX5dixYwCAWbNmaR2Ljo5GjRo1ns6j0ZxXMHz4cAiCgFWrViEtLQ2+vr5YuXLlC5nPb67ET7en45tM3e4/zgUAuFfQ/j8JkUiEmg7lEZuRg6THTOaJiIiIXhaxWAI7OwdkZ6cDAGxty3GbMzIqpVJk0ukcgiAgPz8P2dnpsLNzKHFtuNIo26sAIyvNC4L169drlYlEIowcORIjR458EWFZBNVwcY6y1+1hbj4AoKqdbZHHq9rZIjYjBymP815mWERERESvPCcnFwBQJ/RExiQWi6FUmn7dETs7B/WzXhZmlcyT4URPe+Y5Z75k2fICPC5QQgTAtXzRyXy1pz32D57kv8TIiIiIiKhwN6pKcHSUQaHgDk1kPBKJCBUrVsC//z42ae+8RCItc4+8SqmTeR8fH72HuYhEIly7dk3voEh/T3N5zpnX4Z9cOYDCufG2xWz3UM1OlcznQSkIWovkEREREdGLJRaLIRYX3fFCZAipVIzy5cvjyROF1ewKUupk/qOPPuKcFTOmHmbPnvkSPXza2165mCH2AFCpvA2kIhHylQIy8grgUp77zRMRERERkXkpdTI/ZsyYFxkHldF/C+CZOBAz98/T+fJVihliDwASkQiV7Wxx/3EeUp7kMZknIiIiIiKzw020rYSIw+xLJe3pMPtKOhL0ak977lM4b56IiIiIiMxQqXvmt27dCgDo0aMHRCKR+rMuPXv2NCAs0heH2ZdOWn5hMi8rV3IyX9WuHIAsPHzCFe2JiIiIiMj8lDqZnzx5MkQiEUJCQmBra4vJkyfrPEckEjGZf0lUw+zZM188QRCQnleYzLvoSOZdn/bcP3rak09ERERERGROSp3MR0dHAwBsbW01PpN5UPXMM5cvXnaBAnKlABEKV7MviWoYfmqeHIIgcPFHIiIiIiIyK6VO5t3d3Uv8TKYl5j7zOql65Z1spJDq2NvRpZwNRADyFEpkFyjgaFPqrwoREREREdELV+YMRaFQ4OrVq7h37x4AoEaNGqhfvz4kEkmZg6PS4z7zuqXnFQAAZOV0P/Y2YjEq2kqRkV+AR7lyJvNERERERGRWypSh/P777/j222/x6NEjCE+TSJFIBBcXF4wfPx59+vQxSpCkm2oYOJP54ql65nUtfqfiWt72aTKfD09HuxcZGhERERERkV4MTuZ//PFHzJgxA76+vhg9ejQ8PT0BAHfu3MFPP/2EadOmQS6XY8CAAcaKlUrw3zB7EwdixtL0TOYrlbdBXGbhvHkiIiIiIiJzYnAyv3z5cgQEBGD16tWwsfkvOWrRogX69OmD0NBQrFixgsn8SyJmz7xOaaVcyV7F9Wm9VK5oT0REREREZqbkVcBKkJqaiuDgYI1EXsXGxgZdu3bFo0ePyhQclZ5qPTeBC+AVKyNfNWe+tD3zhTs3PMrNf2ExERERERERGcLgZN7X1xd37twp9vidO3fg4+NjaPOkJ/bMl0wQBGQ+TeYr6tiWTqXS06Q/7en2dERERERERObC4GR+2rRp2LNnD9auXYvc3Fx1eW5uLtasWYM9e/bgs88+M0qQpNt/ybyJAzFTjwuUKHiakDvZlG6nBeenq97nKwU8UXAxAiIiIiIiMh+lnjPfvXt3rTKxWIxZs2Zhzpw5qFKlCgDg4cOHUCgUqFy5MiZPnozt27cbL1oqlmoBPPYgFy1TXtgrby+V6NxjXsVGLIaDVILsAgXS8+SoIOV2i0REREREZB5Kncw7OzsXWebh4aFR5u7uXuagSH/qrenYNV8k1RB7p1IOsVeRlbN5mswXwN3+RURGRERERESkv1JnNuvXr3+RcVAZPe2Y55z5Yqh65ks7xF7FuZwUd3OAjHyuaE9ERERERObD4DnzZF64z3zJ/jW0Z962cBG8dO41T0REREREZsTgfeZV5HI5bt++jaysrCLnazdr1qysl6BSEHE1+xKph9nb6PfIqxbBU21rR0REREREZA4MTuaVSiW++eYbbNq0SWM1++fFxsYaegnSg2pNNybzRVMNsy/ttnQq7JknIiIiIiJzZHAyv2TJEqxcuRL9+/fH66+/jk8++QRhYWFwcnLCpk2bIBKJMGnSJGPGSiVQbU0ncAG8IpVlATwASGfPPBERERERmRGD58xv2bIFwcHBiIyMRNu2bQEA9evXR79+/fDzzz9DJBLh5MmTRguUSqaeM89cvkj/GjrM/mnyn6dQ4kmBwuhxERERERERGcLgZD4lJQUtWrQAANja2gIA8vPz1Z/feustbNu2zQghUmmIuTVdseRKJZ4oClcG1Ldn3lYihv3T/eXZO09ERERERObC4GTe2dkZjx8/BgDY29vDwcEBd+/e1aiTmZlZtuio1NTD7DlnXktWfmGPulQkgp1E/0deploEj/PmiYiIiIjITBg8Z97Pzw+XL19Wfw4MDMTatWvh6+sLQRCwbt061KtXzyhBkm4i9T7zpo3DHGU9XfzO0UaiXvVfH862NriXk8dF8IiIiIiIyGwY3DPfr18/5Ofnq4fWjx8/HpmZmRg8eDAGDx6MnJwcTJ482WiBUsn+mzPPbP552U/nujvoOV9eRdUzz2H2RERERERkLgzumQ8KCkJQUJD6c506dXDgwAGcOnUKEokETZs2hbOzszFipFLgnPniZT/tmXewkRh0fsWn29P9y2SeiIiIiIjMhMHJfFEcHR3RuXNnYzZJpcSe+eJly1U984Ym84Vfk0wm80REREREZCbKnMzHxMTgzz//RFJSEgDA3d0d7du3R8eOHcscHJWeWDVnnj3zWv5L5g173FXb2TGZJyIiIiIic2FwMp+ZmYmPPvoIZ8+ehUQiQeXKlQEAJ06cwE8//YSAgAAsWrQITk5ORguWisee+eJlFzwdZi8tW898lrwACkGAxIBF9IiIiIiIiIzJ4AXwvvrqK5w7dw5hYWE4ffo0YmJiEBMTg9OnT2PixIk4d+4cvvrqK2PGSiWQPE3mFeyZ15JVxmH2DjYSiAEo8V8vPxERERERkSkZ3DN/4MABDBw4EMOGDdMor1ChAt5//33cv38fW7duLWt8VEqSp/unKxRM5p9X1mH2YpEIjrZS/JtfgMz8AnVPPRERERERkakY3DMvlUpRu3btYo+/9tprkEqZ9Lws7JkvXvYz+8wbSjVvnivaExERERGROTA4me/SpQv27NkDhUJ72HFBQQF2796NN998s0zBUekxmS9avkKJ/Kc/E0PnzAPPrGgvZzJPRERERESmV+qu86tXr2p8fuutt/D555/j//7v/9CvXz94eHgAABISEvDTTz9BLpeje/fuxo2WiqVK5pVKpYkjMS/ZBYUvm6QiEcpJDH53pU7m2TNPRERERETmoNTJ/Ntvvw3Rc6t4C09XTr98+bL6mPDMaupDhgxBbGysMeIkHThnvmiqIfYONhKt51cfTupkXm6UuIiIiIiIiMqi1Mn8zJkzX2QcVEYcZl+07DKuZK+i3mueq9kTEREREZEZKHUy36tXrxcZB5WRRFKYzBcwmdegTubLuBijes48h9kTEREREZEZMMpy8zk5OUhJSQEAVKtWDfb29sZolvQgFRcOs1cymdfw+Omcefsy9sw/O2deEIQyDdknIiIiIiIqqzIl85cuXcKcOXNw/vx59cJrYrEYr7/+OiZNmoSGDRsaJUjSTawaZq/gAnjPylEl82VYyR4AHJ8Os1cIAnIKFAbvWU9ERERERGQMBmckFy9exJAhQ2BjY4M+ffrAy8sLAHDr1i3s3LkTgwcPxvr169GoUSOjBUvF45z5oql65iuUMZmXikWwl0qQU6BAZn4Bk3kiIiIiIjIpgzOSefPmoWrVqti0aRMqV66scWzMmDEYMGAA5s2bh9WrV5c5SNJNvZo9k3kN//XMG74tnUpFW2lhMi8vQPUyt0ZERERERGQ4gzOcixcvon///lqJPAC4urqiX79+uHDhQlliIz1IOcy+SOqe+TLOmQcAx6dtZHFFeyIiIiIiMjGDk3mxWAyFovikRqlUQiwue28olY5qNXuFwJ75Z+XIjTNnHvhv3jxXtCciIiIiIlMzONtu2rQpNm7ciKSkJK1jycnJ2LRpE/z9/csUHJWe5OmLE4WCyfyzcow0Zx4AnJ6uaJ8lZzJPRERERESmZfCc+QkTJmDQoEEIDg7G//73P3h6egIA7ty5g+joaEgkEkycONFYcZIOYi6Ap0WuVCL/6c/DOD3zHGZPRERERETmweBk3s/PD7/88gvmzZuHgwcP4smTJwAAOzs7tG3bFh9//DHq1KljtECpZFIm81oeFzzdLhFAOUnZp3yohtmzZ56IiIiIiEzNoGQ+Pz8fR44cgbu7OxYtWgSlUom0tDQAgIuLC+fKm4B6zjwXwFNTLX5nJ5VALBKVuT11Mp/PnnkiIiIiIjItg7JuGxsbjBs3Dn/99VdhI2IxXF1d4erqykTeRNRz5tkzr/bftnRlH2IPAE62T4fZFxRAyYUGiYiIiIjIhAzKvEUiETw9PZGenm7seMhA6p55JvNqj1Ur2RthWzoAcJBKIQKgFP7r9SciIiIiIjIFg7vRR44ciY0bN+L27dvGjIcMJOGceS3GXMkeKPwZq9riInhERERERGRKBi+Ad/HiRTg7O6N79+5o3rw53N3dUb58ea16U6dOLVOAVDrqZJ5z5tUeq4fZG2/qh6ONBDkFCmTJ/5+9+wyz66zu/v/d+/QyvWqkUe/dtiz3gitu2HRCIKbzEEOABPKHBAh5wgMJpOAAAZyQAE7AmADGNsa49y5bltX7jDSj6e30tvf/xT5npJFG0vQZzfw+1+XL1tnl3Odo+8U6a91rZZmFb8zuKyIiIiIiMhwjDub/+7//u/+/n3/++UHPMQxDwfwEceW7tWsv91FjnZkHZ9Z8SyJNX1od7UVEREREZPKMOJjfuXPnWK5DRuloZl7BfEF8jBvgwbHj6VRmLyIiIiIik0et56cJ7Zk/UXwcMvNFnsKeeWXmRURERERk8ow4M1+we/dunnzySZqamgCYPXs2l156KcuWLRv14mTojg3mbdvGGIO56me6WNbpHzBW3ezh2My8gnkREREREZk8Iw7m0+k0X/nKV/jtb3+Lbdv98+Uty+Kf//mfuemmm/ja176G1+sds8XKyRX2zIMT0LtdCuYLo+nGNjPv/C/Tl1aZvYiIiIiITJ4RB/Pf+ta3uOeee3jve9/L+973PubOnYthGDQ0NHDnnXfy85//nJKSEv76r/96LNcrJ1HIzANYlg1jF7+ekWzb7m+AN5Z75ou9KrMXEREREZHJN+I98/feey8333wzX/nKV1i4cCFutxuXy8XChQv5m7/5G2666SbuvffesVyrnILrmEy89s1DxrLJ5jv7j0dmPpLJYWtygIiIiIiITJIRB/PZbJZ169ad9PhZZ51FLqdS5IniNgeW2c90hay8yzDwmmO35aDQAC9n2yRy1pjdV0REREREZDhGHMxffPHFPPPMMyc9/vTTT3PRRReN9PYyTMf2u8spyOwPtINuc0ybAbpNk0C+P4FmzYuIiIiIyGQZcTD/6U9/msOHD/PJT36S559/nqamJpqamnjuuee47bbbaG5u5tOf/jQ9PT0D/pHxYRiGxtMdI5HPzAdcY988oMirjvYiIiIiIjK5RtwA7/rrrwec0XSPPvrogGOFvcQ33HDDCdft2LFjpG8pp+FyGeQsW8E8R2fMB9wj/r3qpIo9LtoSzr55ERERERGRyTDiYP62227TLPMpxmWagKVgHkjmy+wDY9j8rqDQBC+qzLyIiIiIiEySEQfzn/rUp8ZyHTIG+svstWe+PzMfdI19Zj6cb4IXVWZeREREREQmydhHOjJpCuPplJmHRHb8MvPhY8bTiYiIiIiITAYF89OIGuAdlciN3575cP4HgmhWZfYiIiIiIjI5FMxPIwrmj4oXMvPj0c1emXkREREREZlkCuanEacBnvbMwzGj6cYjM6898yIiIiIiMskUzE8j2jN/VCL/g0ZwXPbMO/eMZ3P6rkVEREREZFIomJ9GVGZ/VH9mfhzK7INuV///OLGssvMiIiIiIjLxRhXMR6NR7rjjDj784Q9zyy23sGXLFgB6enr4r//6LxoaGsZkkTI0CuaPOtrNfux/rzINg1A+Ox/RrHkREREREZkEI54z39LSwvve9z5aWlqYN28e+/fvJxaLAVBaWspdd91FU1MTX/rSl8ZssXJqR/fMz+xgPmfZpKzxK7MHZzxdJJPTvnkREREREZkUIw7mv/nNbxKLxbjnnnsoLy/nwgsvHHD8qquu4oknnhjt+mQYjmbmZ3YDvMJYOgC/a3x2khR5XBwBosrMi4iIiIjIJBhxMP/ss89y6623snjxYrq7u084Xl9fz5EjR4Z934aGBn70ox/x+uuvs2fPHhYuXMj9999/2uuuuOIKmpqaTnh9y5Yt+Hy+Ya/jTNTfAG+GZ+YLJfZ+l4lpGOPyHoVZ8xpPJyIiIiIik2HEwXwymaS8vPykxwsl98O1Z88ennzySdatW4dlWdj20APTa6+9lg996EMDXvN6vSNax5nInc9CZ2f4aLpCZn489ssXhPOz5qNqgCciIiIiIpNgxMH8okWLePnll3nPe94z6PFHHnmElStXDvu+V1xxBVdddRUAX/jCF9i6deuQr62srGT9+vXDfs/pwqNgHjim+d04dLIvKFIDPBERERERmUQjTl3eeuutPPDAA9xxxx1Eo1EAbNumoaGBz3/+82zevJkPfOADw1+QqWl5I+XOZ6IzM7zMPp7PlgcnIjOvMnsREREREZkEI87M33zzzTQ3N3P77bfz7W9/G4CPfOQj2LaNaZp89rOf7c+wT5T77ruPu+++G4/Hw4YNG/jc5z7HsmXLJnQNk8md3zM/4zPzucKe+fHLzIfzmXk1wBMRERERkckw4mAe4BOf+AQ333wzDz30EA0NDViWxdy5c7nmmmuor68fqzUOyRVXXMHatWupq6vj0KFD/OAHP+C9730v99xzz6jX4h7HDO9oufKl9S6XiTcfYFqWPaXXPN4KY+lCXte4fQ+lfg/gZOZn8nc9FMc+oyJTkZ5RORPoOZWpTs+oTHXT8RkdVTAPUFdXN6Jy+rF27Dz7DRs2cNFFF3Hdddfxox/9iK9+9asjvq9pGpSVhcZgheOruDhAOOR07Xd5XGfEmseLdaQLgPKwf9y+B2/+u07kLMLFgf5+BXJyxcWByV6CyCnpGZUzgZ5Tmer0jMpUN52e0VEH81NVdXU155xzDtu2bRvVfSzLpq8vPkarGnsul0lxcYC+vgS5/F7xaCxFd/fIpglMB93RFABGxhq378G2bVwG5Gw43N5Hqc8zLu8zHQx4Rmf4FhCZmvSMyplAz6lMdXpGZao7k57R4uLAkCoIhhzML1++HGMEM7t37Ngx7Gummmx2av9lA+RyVv9M9XTaOiPWPF5i+X3sftMY1+8h7HbTm8nSk8gQHsf9+dNFLjezn0uZ+vSMyplAz6lMdXpGZaqbTs/okIP522677YRg/uGHH2bv3r1cfPHFLFiwAID9+/fz7LPPsmTJkglvgHes1tZWNm3axM033zxpa5honnwDvMwU/6VpvE1EAzxwmuD1ZrJEs2qCJyIiIiIiE2vIwfynPvWpAX/+xS9+QWdnJ/fddx8LFy4ccGzfvn3ceuutVFdXD3tBiUSCJ598EoCmpiai0SgPPvggABs3bqS8vJxbb72V5uZmHn74YQDuv/9+Hn/8cS677DKqq6s5dOgQd9xxBy6Xiw9+8IPDXsOZqtCIbcZ3s5+A0XRwtKN9ROPpRERERERkgo14z/yPfvQj3ve+950QyAMsWrSIP/7jP+Y//uM/eNe73jWs+3Z2dvLpT396wGuFP//0pz/lvPPOw7IscrmjAdScOXNoa2vj61//OpFIhKKiIs4//3z+7M/+bMK76k8mt0vBPEA8XzYTcI93Zl6z5kVEREREZHKMOJhvaWnB7T755W63m5aWlmHfd86cOezateuU59x5550D/rx+/foTXpuJCh3VM9NkD8hI2LZNMv9DT2CcO8wX9WfmVWYvIiIiIiITa8TRzpIlS/jZz35Ga2vrCcdaWlr4+c9/ztKlS0e1OBmeo5l5e5JXMnnSlk3h4weVmRcRERERkWlqxJn5L37xi3zkIx/h2muv5aqrrmLevHkAHDx4kEcffRTbtvnmN785ZguV03O7nQZ4M7nMvrBf3mUYeMzhT18YjsKe+agy8yIiIiIiMsFGHMxv2LCBu+++m9tvv51HHnmEZDIJgN/v5+KLL+ZTn/oUy5YtG7OFyun1l9nP5GA+/9kDLnNEoxSHI5zP/EezysyLiIiIiMjEGnEwD7B06VK+973vYVkWXV1dAJSXl2Oa47tXWQbXX2Y/g/fMFzLz/nHuZA9QlC+zVzd7ERERERGZaKMK5gtM06SysnIsbiWjoNF0kOzPzI/vfnk4WmafyllkLAuPfsQSEREREZEJouhjGjlaZj9zG+D1B/MTkJn3u0zc+VJ+NcETEREREZGJpGB+GlGZ/dEye984j6UDMAzjmCZ4CuZFRERERGTiKJifRtwudbNPHtMAbyKENWteREREREQmgYL5acSjPfP9wbx/AvbMg2bNi4iIiIjI5FAwP424NZpuQvfMAxQpMy8iIiIiIpNgVBFPNBrljjvu4MMf/jC33HILW7ZsAaCnp4f/+q//oqGhYUwWKUNzdM/8zG2A1z+absLK7JWZFxERERGRiTekiKe1tfWE11paWrjlllv413/9V1paWti1axexWAyA0tJS7rrrLu68886xXa2cUqHM3rJtLGtmBvQTXmbvzjfAyyozLyIiIiIiE2dIwfwvf/lLvvGNbwx47Zvf/CaxWIx77rmHO++8E9seGDxeddVVPP/882O3UjmtQgM8mLml9keD+Ykus1dmXkREREREJs6QIp6rr76axx57jM985jOk02kAnn32Wd7//vezePFiDMM44Zr6+nqOHDkytquVU3IfE8DO1CZ4iZwTVE/UnnmV2YuIiIiIyGQYUsSzbNkyfv3rX5PL5fjxj38MQDKZpLy8/KTXFEruZeK4TIPCzyozddZ8MjuxZfZF/XPmVWYvIiIiIiITZ8jpy6KiIr7zne9www03ALBo0SJefvnlk57/yCOPsHLlytGvUIbMMAzc7pnb0d627Qkvsy9k5tOWTXoGfuciIiIiIjI5hh3xzJ49G4Bbb72VBx54gDvuuINoNAo4wVRDQwOf//zn2bx5Mx/4wAfGdLFyev0d7XMzrwFe2rIpfOqJKrP3mgYe06mHUKm9iIiIiIhMFPdIL7z55ptpbm7m9ttv59vf/jYAH/nIR7BtG9M0+exnP8tVV101VuuUIfK4DBLMzDL7wlg6l2HgHqSPw3gwDIOwx0V3Kkskk6Xc75mQ9xURERERkZltxME8wCc+8QluvvlmHnroIRoaGrAsi7lz53LNNddQX18/VmuUYZjJZfbHltgP1pRxvITdbrpTWaJZZeZFRERERGRijDiYb25upry8nLq6ukHL6ZPJJF1dXdTV1Y1mfTJM3vzc8/QMLPme6P3yBUfH06kJnoiIiIiITIwRRz1XXnklDz/88EmPP/bYY1x55ZUjvb2MkLeQmZ+BZfbJCR5LVxDu72g/835AERERERGRyTHiqMe2T91gLZPJYJoTG1QJePOBZSoz84L5xASPpSs4OmtemXkREREREZkYwyqzj0aj9PX19f+5p6eH5ubmE87r6+vjgQceoKqqavQrlGHx9GfmZ16WeLLK7JWZFxERERGRiTasYP7HP/4x3/ve9wCni/fXv/51vv71rw96rm3bfOYznxn1AmV4CmX26RlYZp+YtD3zzv9GEQXzIiIiIiIyQYYVzF900UUEg0Fs2+Zb3/oWN9xwA6tWrRpwjmEYBAIBVq1axZo1a8Z0sXJ6hTL7GdkALztJe+bzTQejWZXZi4iIiIjIxBhWMH/WWWdx1llnAZBIJLj66qtZtmzZuCxMRmZmN8CbnD3zRf175nPYtj2hY/FERERERGRmGvFouk9+8pNjuQ4ZI0cb4M3AzPwk75nPWDZpy8bnUjAvIiIiIiLja8jB/He/+10Mw+ATn/gEpmny3e9+97TXGIbBbbfdNqoFyvB4ZnRmfnLK7L0uE69pkLZsIpksPpd3Qt9fRERERERmnmEH8x/96Efxer0K5qcoryffAE+j6SZU2OOmK5UhmslR6Z/wtxcRERERkRlmyMH8zp07T/lnmRq8+WZsaY2mm1BFHhddqQwRzZoXEREREZEJMPFRj4yrmdwAb7JG04FmzYuIiIiIyMQacQO8wSQSCX73u9+RTqe57LLLmD179ljeXoZgpjbAs22b1CTtmQenzB4UzIuIiIiIyMQYcTD/V3/1V2zZsoX7778fgHQ6zbve9S727NkDQFFRET/5yU9YuXLl2KxUhmSmNsDLWDY52/nvSdkzr1nzIiIiIiIygUacwnzxxRe5+uqr+/98//33s2fPHv7xH/+R+++/n8rKyiE1yZOxVcjMp2dYhriwX94EvObEj4YrzJqPzLDvXUREREREJseIg/mOjo4BZfSPPPIIq1ev5sYbb2Tx4sW8613vYsuWLWOySBm6wp759AzLzCfyJfZ+t4lhTHwwf3TPvDLzIiIiIiIy/kYczAcCASKRCADZbJaXXnqJiy++uP94KBTqPy4TZ6YG88lJHEsHRzPz2jMvIiIiIiITYcR75letWsXdd9/Neeedx2OPPUYsFuOKK67oP97Y2EhFRcWYLFKGbqaX2U9GJ3sY2M3etu1JqQ4QEREREZGZY8TB/Gc+8xk+8pGP8Pa3vx3btrn22mtZu3Zt//GHH36Ys88+e0wWKUM3UxvgTZVgPmvbJHMWAffkVAiIiIiIiMjMMOJgfs2aNfz+97/n1Vdfpbi4mI0bN/Yf6+vr473vfe+A12Ri9GfmszMrM5+YxLF0AB7TxOcySeUsopmcgnkRERERERlXo5ozX15ezlVXXXXC68XFxdx6662jubWMUP+e+cwMy8xP8p55cMbTpXIWkUyWqoB30tYhIiIiIiLT36iCeYBoNEpzczN9fX3Ytn3C8XPPPXe0byHDUMjM5yybnGXhMicnUz3RJrvMHqDI46IzlSE6w6oiRERERERk4o04mO/u7ubv/u7veOihh8jlTgxeCk3AduzYMaoFyvB4jykzT2csAr6ZEcz3j6abxGA+rI72IiIiIiIyQUYczH/5y1/m8ccf5/3vfz8bNmyguLh4LNclI+RxmxgG2DakMjkCvlEXX5wRCpn5ydyrrlnzIiIiIiIyUUYc6T377LPceuut/OVf/uVYrkdGyTAM/F4XiVSOVHrmZIiP7plXZl5ERERERKa/EUc+fr+f2bNnj+VaZIz48hni5EwK5guZ+UneMw8QUWZeRERERETG2Ygjn7e85S088sgjY7kWGSM+r5MhTs2gDHH/nvkpUWY/c753ERERERGZHCMus7/22mt5+eWX+fCHP8y73/1uamtrcQ0yFmzVqlWjWqAMn38mZuanQJl9kVtl9iIiIiIiMjFGHMy/973v7f/v55577oTj6mY/eXxeJ5ifSZn5qTCarj8zn832P/8iIiIiIiLjYcTB/De+8Y2xXIeMIb+3kJmfGXu3M5ZF1raByd0zXwjmczYkchbBSSz5FxERERGR6W3Ewfxb3/rWsVyHjKFCA7yZ0s2+kJU3AO8kBvNu08TvMknmLKKZnIJ5EREREREZN2MS+bS1tbFz507i8fhY3E5GaaaV2Rf2y/tcJuYkl7aro72IiIiIiEyEUQXzjzzyCG9+85u57LLLeOtb38rrr78OQFdXF7fccgsPP/zwmCxShmemNcCbCmPpCjRrXkREREREJsKIo5/HHnuMT33qU5SVlXHbbbdh5/csA5SXl1NTU8Ovf/3rMVmkDE9/Zn6GBPP9Y+kGCeZtK0e8ezvdhx+iu+kh4t3bsa3x+16OjqdTZl5ERERERMbPiPfMf+9732PDhg3ceeeddHd3893vfnfA8fXr1/OLX/xi1AuU4etvgDdDssP9neyP26Oeih2m8+BvyKa7+1+LAC5vKRVzb8JftGDM1xLWeDoREREREZkAI87M79mzh+uuu+6kxysrK+ns7Bzp7WUUZlwDvEFmzCejDbTu+QnZdDemO0S4aiPhynMx3WFy6R7a9v4Psa4tY76W/j3zWWXmRURERERk/Iw4Mx8IBEgkEic9fujQIUpLS0d6exmF/mB+hmSHk/ky+8Ke+Uyyg/Z9d4Gdw1+8mMr5b8d0+QAorbuSrkP3E+/eSmfDPRimj2DpsjFby9Ey+5nx3YuIiIiIyOQYcWb+vPPO45577iE7SAayvb2du+++m4svvnhUi5OR8XlnVgO8xDFl9rZt0dlwD7aVwheqp3LBO/sDeQDT5aVi3lsJVZwNQGfDr0kn2sZsLUVqgCciIiIiIhNgxMH8Zz7zGVpaWnjHO97BL37xCwzD4JlnnuFf/uVfuOmmm7Btm9tuu20s1ypD5J9hDfCOLbOPtL9IOt6M4fJRMf/tmKbnhPMNw6C8/jp84QXYViYf/I/Nd6UGeCIiIiIiMhFGHMwvXLiQn/3sZ5SWlnL77bdj2zY/+tGP+OEPf8jSpUv52c9+xpw5c8ZyrTJEhTL7mdIAr9DN3mdY9LU8DUBZ3dW4vcUnvcYwXFTOfyumK0Am0UJf6zNjspZjy+ytYyY8iIiIiIiIjKUR75kHWLJkCT/+8Y/p7e2loaEB27apr6+nvLx8rNYnI+D3On+tyfTMyA6n8mX2xPdj5ZJ4/FWEKtaf9jqXJ0xZ/XV0Hvw1fa3PEqpYj9tbMqq1hPLd7C0gkbUIeVynvkBERERERGQERpyZP1ZJSQlr165l3bp1CuSngIAvn5lPzZTMvBPMW5HdAJTMuhzDGNqjHSxdhS88D9vO0tP86KjX4jaN/kZ8EZXai4iIiIjIOBlRZj6dTvPb3/6WZ599lsbGRmKxGKFQiHnz5nHJJZdw44034vV6x3qtMkQBn/PXmsrkyFkWLnNMfrOZsgp75r1WDHeggkDJ8iFfaxgGZbOvoWXXvxPv3kqq6jx8odmjWk+Rx00ilyaanRk/poiIiIiIyMQbdjC/a9cu/vRP/5Tm5mZs26aoqIhgMEhXVxfbt2/nwQcf5Ac/+AHf//73WbRo0XisWU6jEMwDJFI5woHpHcwf3TOfoajqPAzDGNb13uAsQuXriHW9Tm/LU1Qv+qNRrSfscdGWVBM8EREREREZP8OK8mKxGJ/4xCfo7Ozks5/9LE8++SQvv/zygH9/5jOfoa2tjf/zf/4P8Xh8vNYtp+B2mXjczl9tIjX9A8pkPgPuMyFUvm5E9yiuvQQwSPbtIR0/Mqr1aNa8iIiIiIiMt2EF87/+9a85cuQIP/zhD/nYxz5GTU3NgOM1NTV8/OMf5/vf/z6HDx/mN7/5zZguVoaukJ2f7sF8zrLJ5JvGl5QsGDBTfjg8vnKCZasB6M13xB8pzZoXEREREZHxNqxg/oknnuCiiy7ivPPOO+V5F1xwARdeeCGPPfbYqBYnIzdTgvlENt3/3+UVK0d1r5Kai5179u4kk+wc8X0KmXk1wBMRERERkfEyrGB+9+7dbNy4cUjnnn/++ezevXtEi5LRC+Y72iemeUf7np79AHjIEChaMKp7eQJV+IuXABDpeHnE9wkrMy8iIiIiIuNsWMF8b28vVVVVQzq3srKS3t7eES1KRq8wa366Z+Z7eg8C4HcZw258N5iiqnMBiHVuxsqlRnaP/j3z0/u7FxERERGRyTOsYD6dTuN2D60BvsvlIpPJjGhRMnrBfJl9fBoH87adIxJrASDg9ozJPf1Fi3D7KrCtNLGuLSO6R9idD+Y1mk5ERERERMbJsEfTNTU1sW3bttOed/jw4REtSMbGTNgzn4o2kszHywHPyBrfHc8wDIqqzqX78INE2l8mXLlh2Bn/Y8vsLdvGHIOKARERERERkWMNO5i//fbbuf322097nm3bY1L2LCMzE4L5RO9u0jgZ+YDLNWb3DZWvo6f5MbKpDlLRg/iHuRc/5HFhADYQz+b6g3sREREREZGxMqwo4xvf+MZ4rUPGWKDQAC89PUu9bdsm3ruLNLUA+F3D2jFySqbLR7BsNbHOV4l2vj7sYN5lGATdLmLZHJGMgnkRERERERl7w4oy3vrWt47XOmSMTffMfDbVSS7dQ4p5APjdYxfMA4Qr1hPrfJVEz3as3HXDnl8f9jjBvNMEb2y2AIiIiIiIiBSMbQQkU8Z0D+aTEWckXc5dBoxtmT2ANzgbt78S284S7z59j4jjFeWz8RGNpxMRERERkXGgYH6aKnSzjyWn50SBZOQgAFl3KTD2mXnDMAiXrwcg2rV52NcX58fTRTSeTkRERERExoGC+WkqFHAaw8WT0y+YtG2LZPQgABkzBEBgDPfMF4TK1wIG6dhhMsn2YV1byMz3paff9y8iIiIiIpNvygXzDQ0NfOUrX+Hmm29m5cqV3HjjjUO6zrZt7rjjDi6//HLWrl3Lu9/9bjZv3jy+i53CQv5CZn76BZPpRAt2Lolh+kjhBcA3DsG8yxPGX7wYgFjXG8O6tsirMnsRERERERk/Uy6Y37NnD08++STz5s1j0aJFQ77u3//93/nXf/1XPvCBD/DDH/6QqqoqPvShD3Ho0KFxXO3UFc5n5mOJDLZtT/JqxlYqcgAAf3geqZwFjP2e+YJQ+RoA4t3bhvU9FuXL7PtUZi8iIiIiIuNgygXzV1xxBU8++ST/+q//yqpVq4Z0TSqV4oc//CEf+tCH+MAHPsAFF1zAP//zP1NaWsqPfvSjcV7x1BTyO8F8zrJJTbPscDIfzPuKFpDIB/NjvWe+IFC8FMP0kE13k443Dfm64v4GeArmRURERERk7E25YN40h7+kV199lWg0ynXXXdf/mtfr5eqrr+app54ay+WdMbweE5dpABBLTJ+A0rYtUrHDAPiL5pPMFjLz4/Momy4vgZJlAMPqat9fZp/OTbvKCBERERERmXxTLpgfif37nTFlCxcuHPD6okWLaG5uJplMTsayJpVhGP1N8KZTR/tMog3bSmOYPkxfJSkrn5kfpzJ7gFDZagBi3duwbWtI1xTK7LO2TTI3tGtERERERESGyj3ZCxgLfX19eL1efD7fgNeLi4uxbZve3l78fv+I7+8epxLuseDKZ6Rdg2SmwwEPfbE0yUxuSn+G4Ygl8ln58Bws4+hnCvvc/ZUIYy1ctphOVwArGyWbaCRQvPC017gxCbhMEjmLmGVR5PaMy9rOBKd6RkWmAj2jcibQcypTnZ5Rmeqm4zM6LYL58WSaBmVloclexmkVFwdOeK0k7KO5IwYu1xnxGYai59ARAEqrFuIJOz/e+FwmlRXhcX3fyKx1dBx+gXR0B3Xz1gzpmrKAl0Q0ie1zT5vvfzQGe0ZFphI9o3Im0HMqU52eUZnqptMzOi2C+eLiYtLpNKlUakB2vq+vD8MwKCkpGfG9Lcumry8+FsscFy6XSXFxgL6+BLnjyrl9HudXp9b2KN3dsclY3pjr63K2VNiuWlo6owD4Xea4fz5PaDnwAt0tb1Bcey2Gefr/dUL5X/2au6LMGsdtAFPdqZ5RkalAz6icCfScylSnZ1SmujPpGS0uDgypgmBaBPOFvfIHDhxg+fLl/a/v37+furq6UZXYA2SzU/svGyCXs05YZ9Dn/PVG4+kz4jOcTjbdRzbdCxi4/XXEYk5jP59pjvvncwfmYLpDWNkY0Z79BPLz508l7HYC+J5kZlp8/6M12DMqMpXoGZUzgZ5Tmer0jMpUN52e0WkRzJ999tmEw2F+//vf9wfzmUyGhx56iEsvvXSSVzf+0p3N2FkvmAN7BhTG00WnSQO8dL6LvSdQg+nykcjmM/P5fgCtrUc4eHA/XV0dWJZFOFzErFl1zJ+/GK/XO6r3NgyTYMlyop2biPfsHFIwX5QfT9eXnl6jAUVEREREZPJNuWA+kUjw5JNPAtDU1EQ0GuXBBx8EYOPGjZSXl3PrrbfS3NzMww8/DIDP5+PjH/843/nOdygvL2fp0qX8/Oc/p6enhw9/+MOT9lkmQq7nCId/9gXcc9cSePNnBxwLBZy/3lhiegTzhZF0vtAc5885J0j22DYPPfQ7WloGzoHv7GynoWE/mza9yPr1G1i2bNWIRh8WBEqdYD7RuxPbvh7DOPW9Ch3tNWteRERERETG2pQL5js7O/n0pz894LXCn3/6059y3nnnYVkWudzAbOdHP/pRbNvmP//zP+nq6mLFihX86Ec/or6+fsLWPiksC7DJNu/Etq0BAWZR0MlGR+LTI5hPJ5oB8AbrAEjk97p0thzG09KEaZosXLiEWbNm43K56e3tZt++3fT19fLyy89z6FADl156JX7/yJpe+IvmY7oCWNk4qWgj/qL5pzy/uDBrXsG8iIiIiIiMsSkXzM+ZM4ddu3ad8pw777zzhNcMw+DjH/84H//4x8draVOSWVqL4fJgZ1PYkQ6M4ur+Y0X5OfPTIZi3bZt0vAUAb3AWAF2RiHMwk6KiopJLL72KoqLiY66az+rV69mzZwevvPICLS3N/P7393LttTcSDA6/u7xhuAiULCPWtZl4z47TBvOFMvtIRmX2IiIiIiIytqbPkL0ZyjBdeCqdsvNc1+EBx4qChWA+PeHrGmvZVCe2lcYw3Hj8VSQScfY1NgBQHPBz7bVvOS6QdxiGwdKlK7n++lsIhcJEIr384Q/3EY+PrPt9sNTpyeCU2tunPLe4f8989rTnioiIiIiIDIeC+WnAWz0XAOuEYH76lNmn4858eU+wFjB4+unHSFlOgLxs0RLc7lMXmZSWlnPttTcRDhcRifTx2GN/IJMZ/vfiL1qIYfrIZSKk44dPeW6R19kzn7VtklN8/IWIiIiIiJxZFMxPA96qwYP5cD4zH09lyZ7hwWQ6fnS//J49O2lpacZ2Oz9WhL2eId0jHC7i6qtvwO/309XVwbPPPjHsjLlhugmULAEg3rPjlOd6TBN/fj5kn/bNi4iIiIjIGFIwPw30B/PdxwXzfg9G/r/P9I72hWDecFewadOLAASKywD6A+ahKCoq5rLLrsE0TRobD7Bjx9ZhryVYugKAeM/pS+21b15ERERERMaDgvlpwFs9DwCrpwU7dzRoN02D0DRogmfbFumE0/xuf2MXmUya8vJKTJ8fGF4wD1BTU8u5514IwKuvvkhnZ8ewrvcXL8YwPeTSPWTy6zqZ4nypfSStzLyIiIiIiIwdBfPTgKuoHMMXBNvC6jky4Nh0aIKXTXZiWxkw3OzY3QjAOeec178P3e9yDfueS5euoL5+PpZl8cwzj50w6vBUTNODv2gRAPHeU09eOJqZVzAvIiIiIiJjR8H8NGAYBq7yeuAUTfDO4DL7dML5gSKVDWJZNrNmzWbWrNn9wXzAPfzH2DAMLrjgUvz+AL29PbzxxmvDuj5QsgyAxGmC+WKV2YuIiIiIyDhQMD9NuCry4+k6Gwe8XsjM98XO3Mx8Kr9fvr3HCYjXrj0Hy7ZJ9WfmR/YY+/1+Nm68CICtWzfT3d015GudJngGmUQr2XTPSc8r8jhVA30qsxcRERERkTGkYH6acFXm980fF8yXhnwA9J7BwXwm0QpAJO6msrKa6uoaUjmLQuu5kQbzAPPmLWDOnHlYlsXzzz815O72LncQX9iphkj07j7peSqzFxERERGR8aBgfppwVc0HINfRMCAgLS1yyux7oqnJWNao2bZNOh/Mx5JuVq5ci2EY/SX2HtPAbY78MTYMg/POuwi320NHRxsHDuwd8rWBYqfUPt5z8lL7Iq8TzPepzF5ERERERMaQgvlpwlU+B0wXpGLYkaPd2UsKmfnomZmZz2Ui2Lkktg2Gu5S5c+cDkBhlif2xQqEwa9asB+DVV18ikxlaf4FAqRPMp6INWNnkoOcU58vsI5nssGfai4iIiIiInIyC+WnCcLkxy/P75jsO9r9+pmfmC6Pf4ik3ixavwMxn4ZNZJ9M9kk72g1m5cg3hcBHxeIzt27cM6RqPrxyPvwqwSPQNntEvlNlnrKN7/EVEREREREZLwfw04qqcD4DV0dD/WmnYycz3nKGZ+UiP0wMgmnSzaNHS/tf7O9mPQWYewOVyc8455wFOM7xYLDqk6wIlzppO1tXe6zLx5deoUnsRERERERkrCuanETPfBG9AZj4fzEcTGTLZMy8z3Nt1AADTU0EoFO5/vb/MfgRj6U5m7twFVFfXksvl2Lz5lSFd0z+irm8vtjV4sF4ote9TEzwRERERERkjCuankWMz84X92SG/G3c+M9x7hpXa27ZNLu3s/6+oWTLg2NEy+7F7hA3D4Jxzzgdg//499PX1nPYab3A2pjuMbaVIRg8Oek5JoQmextOJiIiIiMgYUTA/jZjlc8AwsZMR7JgzM90wDErD+X3zZ9h4uvb2ZgIepxndrDlrBhxL9jfAG5s98wVVVdXMmTMX27bZvHnTac83DOOYUvvBR9QVK5gXEREREZExpmB+GjHcXsyy2YAzoq6gf9985MzKzDc1bMUwIGe78fpLBxwb6z3zx1q//lwADh7cR3d312nPDx6zb36wjvUlHg8AvQrmRURERERkjCiYn2bMQZvgnXkd7W3bprdrPwAuTwWGYQw4nsjly+zHcM98QXl5BfPmLQQY0t55X9ECDNNDLtPX333/WIXMfK/2zIuIiIiIyBhRMD/NuE7RBO9M6mjf0dGGx4wBECqZe8LxZHZ8yuwL1q/fgGEYHDp0kI6OtlOea5oe/EWLAIgP0tVee+ZFRERERGSsKZifZgrB/LGZ+ZIzMDPf0HCAsN8Jfn2h2hOOJ8axzB6gpKSUhQudpntbtrx62vP7u9oPsm++EMyrzF5ERERERMaKgvlpxqyYC4aBHe/Bijr7vQuZ+TOpm31TUyNBnxP8evxV/a/btk06GSeedqoM/C5j0OvHwpo16wE4fLiR7u7OU54bKFkCGGQSLWTTPQOOFYL5WDZHxjrzxgOKiIiIiMjUo2B+mjE8Psxypyw917YXgNKiM6vMPhLpIxbpwudxAl+3r5KWhl288MBPufeHX+I3//YFunudHypeuu8/eP53P6Zp7xasMQ6Ui4tL+/fOv/HG5lOe63IH8YXqgROz8wGXiTu/5z+SHnwWvYiIiIiIyHAomJ+GXDXO/u1c6z7g2D3zZ0ZmvqnpEMF8ib3hCvHkr37Ik7/6Hg07XyEZj+Azg9juIAALcgvwH3Kz/8EneOg//4GDO14etKP8SK1ZcxYADQ376evrPeW5R0vtB+6bNwzjaKm9muCJiIiIiMgYUDA/DblqFgOQa90DHO1mH0tmSWemfma4qamRUL7Evru9h/amfbhcHlasvIKrl3+My8r+iIzLCY7nueezILCGNUWXcZ77OlLPHOGFu35EtPfUZfFDVV5e0T93fuvWzac8tzBvPhlpwMomBxzr72ifzozJukREREREZGZTMD8NuWqcxm1WRwN2Nk3Q58abH+HWPcWz89lslpaW5v7MfDyWZdb8lVx72aeZ274Qsz1H2gTyZeula2rwrqjELPdjGAY13nmsSJ9L491PcGj75jFZUyE7v2/fbqLR6EnP8/grcPsrAYtEZO+AY+poLyIiIiIiY0nB/DRkFFViBIrBypHraMAwDCpK/AB09CZPc/Xkam1tJpfLEfI6Geyy6uVsqL+J3OvdYNm4ZxfhfrOzjcBtGITX1RLcOJvim5ZRdMsyjDlO+X2ddzGeF+LsffKJUZfdV1XVUFtbh23bbNv2+inPDRY72flEz8BS+xKPOtqLiIiIiMjYUTA/DRmGcTQ7ny+1rywJANA5xYP5HW9sAiDkc4L5WZ61pLd3AOA/ZxahKxeQDnmcPx83ls5V4qfkyiUEr11A2p3G7wpRfqCY3ff9AdseXXO8QnZ+796dJJMn/w4Dpfl985G92NbRLQ3FGk8nIiIiIiJjSMH8NHV8E7zKUicz396TmLQ1nU5fVytHjjThMi18Ts8+cjuc4DdwwRz8q6sxDINkfsa83z344+utLabqnWeTKs5gGi5qumex97cPjyqgr62to7y8klwux+7d2096njc4B9Mdws6lSEUb+l/vL7NXAzwRERERERkDCuanKTOfmc+17sG2barymfmpWmafy2Z45v6fYLu8/fPljYwfI+fFt64G39KK/nOTWSfjHXC5Tno/w+ui+pZzSNY451b11rLvt4+NuOTeMAxWrVoLwM6dW8nlBg/KDcPob4QX7zs6oq5EmXkRERERERlDCuanKVflPDBd2Ik+7EgHlYU981M0M7/9xYfoiUQAqCpz0vJmMox7dhH+dTUDzk0UMvOuUz++hmFQc+1ZJGc5AXRlbxUNDz0z4jXOm7eQUChMMplk3749Jz2vEMwnenb1/3hQKLOPZnLkrLEbnSciIiIiIjOTgvlpynB7MSvnAU52vr/Mfgpm5vu6Wtn58iNYnhAA5QHnsXRlSwheVI+R71xfkMhn5k8XzIMT0Ndecw6xaudzlxwJ0/TcKyNap2marFixBoDt27ecNMvvL1qIYbjJZXrJJFoBCLlduAywgYhK7UVEREREZJQUzE9jrv5S+739DfD6YmlSU2jWvG3bvPrYL7GsHGagDIBAzqke8NXOwQx4TrimkJkPuE9eZn+8ujdvJBKOYBgm/t0G7dt3nf6iQSxZsgyPx0tfXy+HDzcOeo5pevAXOz0LEr3O+5iGQbE62ouIiIiIyBhRMD+NuWY55d655h2E/G4CPif4nUr75o8c2E5r427w+MnaBgYGbp8TzAfq5w96TSJbCOaH/vgahsHsWy4g4unBZbjJvdhFrL1z2Ov1eLwsXboCcLLzJ9O/b7736L75/o72ysyLiIiIiMgoKZifxtyzlgMGVs8R7ETvMePppsa+edu2eOPZ+wGoXng2AOWmH9vrrM8TqBr0ukTOqSwInqIB3mBMl4vamzeSIIrfDNL1+61k0+lhr3vFitWYpklr6xE6OtoGPSeQnzefSRwhm+4Djulor8y8iIiIiIiMkoL5aczwhTAr5wJOdr7QBK+9Z2pk5g/t3kxPexNurw9X2OlWX+31AmC6Q7jcwUGvK+yZH05mvsATChC+ciEZO02RXUrTfc8P+x7BYIgFCxYDsG3b4Nl5lyeEL1TvrDdfaq9gXkRERERExoqC+WnOVeeUhOead1BVWhhPN/mZedu22PbCgwAsP+cK2tucDHeZz2l2Z7rL2beznddfOsSm5xrY+moThw50kUpmj+lmP7zMfEHRnFnkVjs/bJRES2l67tVh32PlSmdMXWPjASKRvkHP6e9qny+11555EREREREZK+7JXoCML3fdCjJbHiTbvJOKxVcD0DEFMvNHDuygr7MFt9fH7OUb2bTnV2CDr9jGBvbtybJ1+/YTrjMMaL+4FrwmPtM48cZDVLthDY1Nz1DcU4R3d5bo/FbCdTWnvzCvrKycuro5NDcfZseON9i48aITzgmULKOn+VGS0QNYuVR/Zr5HwbyIiIiIiIySMvPTnKt2KRgmdl8bs/xOEN8+BWbN73rlUQAWrbmInq5uAIoJ0ply/jsWC1BZHWbxymqWr61lwZIKikr82Dak8iPhnrxnB7u2tp50RNzpzL7hfKJGLx7DR88ju8hlhxdkF7Lze/fuIpVKnXDc46/E7asA2yLZt49Sr9OZvzedGdF6RURERERECpSZn+YMbwCzagFW2z5q04cAaOmOY9k2pjHyzPZodLU00nZ4L4ZpsvTsy3jxkRcBCFkh3EGn3H7jm86ivHbVCdf2dsf51p4mABLdSR67fyc7t7Rw2ZuXUFo++B77k3G53ZRctYzkQ42EKaHp9y8w96aLh3z9rFmzKSsrp7u7iz17drB69foTzgmULCXS9jzx3l2UznbK7iOZHFnLxj2KygIREREREZnZlJmfAdz5ffPB3r24TIN0xqKrb/JK7fe8/jQAc5edzYE9cXp6nRFxhruI4mInw11UWjvotYFiP1Y+Bt54fj1ut0lzYw+//M9N7NzSMuy1FNXVkF7i3LCoM0THjj1DvtYwjP7s/I4dW8nlu+wPWG/JMgASfXsIusBtGNioCZ6IiIiIiIyOgvkZoNAEz2reSU2Z0wSvpTM+KWtJJ+Mc2uU0nPMVr2bHE/uJGs5azrlmGdgZwMTtKx30+sJYOhPYeP5c3v2RDcyeV0o2a/H4A7t4/IFd5PJz6Idq9kUb6PV1Yxgm6RdbySSGvg1h/vxFBAJBEok4Bw/uO+G4LzQH0x3EziVJxw5R6nOKYbpVai8iIiIiIqOgYH4GcNUuBtONHetiaamT+W6epGC+Yecr5LIZgsXVvPRshJpQFtuw8bt8+ANOgOv2lWEYg3eqT+QD9YDbhWEYFJcGuOk9a9l4yXwMA3ZuaeH+u98glRxe5rv2+g2k7ARBo4jm37805OtcLhfLlzvbAbZvf+OE/fuGYfbPnE/07u7fN68meCIiIiIiMhoK5mcAw+3DNcsJKFd4nP3mLZ2xCV+Hbdvs2/IcAL3RekwbvPmmfFWV1WRTTrm9x1dx0nsUxtIdO2PeMAzOuWge179zDR6vi+bGHn7z368RHcZWAl9xGGNNEQAlkVI63tg15GuXLl2B2+2mu7uTlpbmE44XRtTFe3dRWuhon1JmXkRERERERk7B/Azhrnf2ds9OHwDgyCRk5rtaGujtaAZcRJN1LKsM00MEgOo5dWTywbzbf4pgPuuU2QcGmTE/d2E5t/zxeoJhL90dce75n9fpG8YYvupzVtEbcLrpZzd1kokPrdze5/OzaJETsG/fvuWE4/6ihRiGm1y6hyLTqYxQZl5EREREREZDwfwM4ZrrBPPhvgN4yXBkEjLz+7e+AEAqNxvT5WN1dZguogBUV88imxxCZr4QzLsHf3Qra8K87f1nUVIWINKb5N6fDy+gr73+XJJ2DL8R4siDLw/5uhUr1gDQ1HSInp7uAcdMlxdf0QIAgtlWAHq0Z15EREREREZBwfwMYZbMwiiqxLCyLPG00hfPEE1MXECZy2U5tPs1AFLWPM6/cB7x7m4yRhbTNCkvrxhaZr5QZj9IZr6gqMTPW967bkBAH+kdWkDvC4cw1hY79+krpmPb7iFdV1xcwty58wFn7/zxgvmu9r7kQQB6UsrMi4iIiIjIyCmYnyEMw+gvtT8rdASY2I72LQd3kEklsGw/xRXzWFIRost2svIVFVWYhk0u3QOcLjN/4p75wYSLfAMC+vvu2kIinh7SWmvOXk1voBvDMEi/3EYmObQfAgpj6vbv30MiMfC7Leyb96caAafM3jquWZ6IiIiIiMhQKZifQdz5UvvlrsOAPaGl9ns2vwhA2prDpdcuI3e4j558iX1VVTWZVBcAhunDdIdOep947uR75o9XCOiLin30did44JdbyaRPnAU/mNprzyFtJ53u9g8Nrbt9VVUNlZXVWFaOXbu2Dzjm8oTxBmcTIo6BTc62iWaGthYREREREZHjKZifQVx1K8DlpsiOUGP20tQxMcF8NpOitdEJbqvq11JTEyZ7JEoPzvtXVFSRzQfzHn8FhmGc9F6n2zN/vHCRjxvevRZ/wE3bkQh/+M02crnTz6H3lRSRW+YHoKgrTM+BQ6e9xjAMVq509s7v2rWdbHZgKX2gZBkuwyZsOBUC2jcvIiIiIiIjpWB+BjHcPiegB1Z6m2hsjUzI+25/5SWws+TsEOdfdS7ZQ73krBy9hlOKXllZTSbZAYD7FCX2AMnc0TnzQ1VWEeT6d67B7TE5dKCbJx7YfcI8+MHUnLeGPnc3puEi+vQBrNzpM+lz5y4gFAqTSiXZv3/PgGPB0uUAhOgD1NFeRERERERGTsH8DFPYN7/ac4jG1uiQgtrR2v2aU6ZeVLGc8soQ6YZe+ohjY+Pz+QiHiwZk5k+lf8+8a3iPbk1dMdfcshLDgN3bWnn1+cbTXmOaJhVXrSJrpwnbJTQ/sWlI1xQ622/fvmXA9+vxV+LxVxHOVySoCZ6IiIiIiIyUgvkZxj3/bAAWuttwpSN09g19bNtItDd3k004JepnXXIJdtYi2xwZUGJvGAaZ1NAy8/H+MvuhZ+YL5i2q4NJrlwDw0lMH2bez/bTXhGqqSMx2gm7/IZN4a+dpr1myZBkej4e+vl6amgb+aBAoXU5RIZhXmb2IiIiIiIyQgvkZxgxXYFYtwDRgjdfJzo+nTU+9gGFYmO4iZi9cQLY1CjmbHrdTYl9RUQUwpBnzcOxoupE9uivX17Fmw2wAHvvdTtpbTr/VoO6KjUToxm146Hx062mrGTweL0uWONsZtm3bMuBYsGQFRYYTzHcnh9ZdX0RERERE5HgK5mcg94INAKzzNozrvvlYNEX7Yafx3ayFa5wMfJPzfr2uwn75KnLZOFYu4azNV37S+9m2TXIUmfmCC69YRP2CMrIZi9//aiuxaOqU57tcLsKXzMeycxRlSml7aetp32PFitUYhkFr6xE6Ozv6X/cEaijxOP/bdScnbjSgiIiIiIhMLwrmZyBPPphf4m6h5cjpS81HattrTbiNZgCWrnfeM9vUR5YckXShzL6abMrJyrs8xZgu70nvl7IsCn3oR5qZBzBNg6tvXklpRZBYJM2Dv95GLnvqDvdlC+fTV+o0rjN2xElHTx2Ih0Jh5s9fBDh75wsMw6CqeBYAPRlrQnoWiIiIiIjI9KNgfgYyS2rIFNXhMmxCndtPf8EIWJbN7s1vYBoZ3J4glXULyfWlsPrS9BoxbGyCwRDBYJBM0ml+d6qsPBxtfuc2DDzmycfXDYXP7+b6d6zG53fT1hzhmUf2nvaa2W8+j7gdwWv4afnD6ZvhrVzpNBs8eHAfsdjR7QyzKhYDkLZdRDOnrgoQEREREREZjIL5Gcq36FwAFuf2EU2MfSO2Qwe6yCUPAjBnyRpM0yTb5GS2+8LO+/Xvl883v/P4K095z/798m7zlLPoh6qkLMBVb3H2tm/ffIQdrx855fkefwDX+lIAiqPFdO/cf8rzKyoqqamZhW3b7Nx5tDQ/GJ5NCGdbQUtXwyg+gYiIiIiIzFQK5mco/+KNACz3NNNwqG3M77/9tWY8phMcz1niZKgL++V7PE4gW1npBPOZVCEzf7qxdM5+eb9r5Pvljzd3YTkbL5kPwNMP7aHtyKl7CNSsX0233/nxIfliC7nMqcfLFbLzu3fvJJNxGt4ZhkFZfjdBa0/TKFYvIiIiIiIzlYL5Gcosq6PXVY7bsIjsemlM7x2Lpji0rwGXEccwXVTXL8XOWWRbnFLz7pSToT+xk/3pyuwLze/G9rE9+8K5zFtcQS5n84ffbCMRP3WlQs3VZ5GyEgQI0fLIqcvt58yZS3FxCZlMmr17d/W/XhEIAdAR78O2cqP/ECIiIiIiMqMomJ+hDMMgUnMWACXtr43pvXdvbcVttAJQPWcRHq+PbHsccjZZP0TjTva7oqIS27bJ5BvgDbXMPjiGmXlwvosrb1xOSVmAaF+Kh3+7Hcs6eWO6YHk5qYXOfwdaPcSaTl7ZYBgGK1euAWDHjq1YlvMZKkOlAPRZPpLRA2PzQUREREREZMZQMD+DhVdcDEBdppFstGvM7rtnWxseswWA2vnOnvRCVj5a5gSzoVAYn89PLt0Ldg4MFy5vySnvW2iAN9aZeXAa4l37tlW4PSZNDT289NSpA+w5l5xLj9GOabjoeXz3KbvSL1y4FJ/PTzQaobHxIADlPg8AEcLEe3aM2ecQEREREZGZQcH8DFa3YB4HsjWYBnRteWpM7tnVEaOzvQ+P4ewr7w/mjzjBfJ/P6d5eXu7sj+/PyvvKMYxTP47jsWf+WBVVId50/TIAXnvhEPt3nXxsn2m6KL18GVk7QyhXRNuzb5z0XLfbzbJlKwFnTJ1t2/3BfJ8dJtGzE9s+9Wg8ERERERGRYymYn8FcpkljyAky7f0vjMk9925vw210YBg5AuESSipmYWctch3OXPZey5kvX17ulNQXZsyfbiwdQDznBPMhz/g9totXVLP23NkAPPa7XfR0nXyefOncevoqnS0Drr1pUj3Rk567bNlKTNNFR0cb7e2tlOWD+SghMtkkycipO+OLiIiIiIgcS8H8DJerP4esbRKMt5DrOjSqe9m2zd4d7XiPKbE3DINsWwwsGyPooTvSDRyTme9vfnfqTvYAsYwTzAfd45OZLzj/8oXUzikmk87xh99sJ5M+eYO6+qsvJGJ14TY8dDz8+knPCwSCLFzozJffvn0LRR4XbsPAxiBKiHj3tjH/HCIiIiIiMn0pmJ/h5s2tZVtmDgCZ3c+N6l4drVF6uxN4TKf53azj9ssb1QF6ewvB/HGZef/pg/n4ODXAO57LZXLNLSsJhDx0tcd48sGT74n3+Hx4NlRj2RaheJjuN/ad9L6FMXWNjQeJRiMDSu3jPTuxrVOPuRMRERERESlQMD/DLZ5dwiv51uzp3c+OKqDcs70NkxguI4JhmNTMdfafF4L5WEkO27bx+XwEg85otuFk5uP5PfNBz/gG8wChsI9rbl6JYTifa9urzSc9t3bNKroCTkf79Ksd5FKDj7YrLS1j9ux6ALZvf6M/mI+6KrCtFIm+k/8QICIiIiIiciwF8zNcOOAhUracXiuAkewje3BkY+ps2+bgnk48phPUls+ah9cfxM7k+vfL97mSzrHySgzDwLIy5DK9ALhPM5YOjjbAG+8y+4K6uaWcf7nzQ8ezj+6jpanv5Odeu5GEFcGHn9aHT/4dFrLz+/btothtAJDwzgUg3r11rJYuIiIiIiLTnIJ5Ydn8Sl5MOfu5Mzue6H89kU3yevs2Hm18ivv2/4GnDj/Hnu595KwT95B3d8bzJfZOB/jaQla+NQY2mGEv3bEe4Oh++WzKGYdnuvyYrsAp12jbNrFCMO+auMd23cY5LFxWiWXZPHTPdhLx9KDnBUvLSC9x1hXo8BJtaB30vNraOsrKyslms2R6nI7/UZfzfST6dmPlBr+/iIiIiIjIsdyTvQCZfMvnlfHTVxZztf8Nck3biHcf5sGOzTzd9Dxp68SS8YDbzznV67hi7qXUBKsAOLinE7DxuTuwLaiuXwJAttUpsXfXhunq2gUcs18+WehkX4FhGKdcY8qysPLb1icqMw9gGAZvun4ZXe0xeroSPPzbHdz47rWY5onrnXvR+ezb/xCVzCL69H5C9dUYx51nGAarVq3jmWcep7vpANSuoCfrxu0tI5vuJtG3m1DZ6on6eCIiIiIicoZSZl5YMqeEXorZmamj1evi7zf/kEcPPUXaylAVqODs6rVcPPt81lauIuwJkcgmeab5Rf7uhX/kf3b8kr50hIN7OjCJYFsJTJebilnzAZxO9oBRHaSnx8nEF4L5/hnzQ2l+l3Wa33lMA+8EZuYBvD431751FW6PSVNDDy8/fXDQ8wzDpPLKVaStJP5ckPanBp89P3/+IsLhIoyYU7bflcoQKF0FqNReRERERESGRpl5IeBzs2BWMY/3zaVjdpq4naLcV8q7l72VVRXLB2TNLdtib89+Hm18mq2dO3juyMtsadrN/OaL8eVL7CvrFuJye7BzFrmOBACJYJZsNovb7aaoqBg4dsb8EIL5wli6ce5kfzLlVSEuv24Zj9y7g1efb6S6rogFS07c5186u5691buo7PDjOpgl1RnBV1E04BzTNFm9ej3PvfgsAMmcBcUroe0ZEn17sbIJTPeptx2IiIiIiMjMpsy8ALBwrp+Ghc3EXSZzkhn+ovJCVleuOKH83TRMlpYt5hPrPsifn/2n1BfNxtPhBOcen7NPvFBin+tMOPPl/W56Uk4WuqysAtN0HrthdbLPFZrfTd4ju2RlNWvOmQ3AY/fvpLc7Meh5866+mG6rDZfhouuRbYOOtVu0aCnhQAB3xmkK2EcJHn812Bbx3l3j9yFERERERGRaUDAvALQGX8LwJQmk3HyouQfP9idPOlu9YFHpfD5/zidZnF4F2JiW08neXZVvcJcvsXdXBenqcgL3QvM727b7y+yHNGM+3/wuMIH75QdzwRULqZldTDqV4w+/2UYmc2IzQI/Xj3/jLHJ2lkAyQM/mE0fOuVwuVq1aizfldPpvT6QIlhVK7QcvzxcRERERESlQMC9s69zF7sgOsCG5dx0B3FjtB8i17jn9xbZBpt2Dy+jDbefImfDvjffwRsf2/mDeVR06Jph3StOtbBw752Sl3b7y075NLB80hyY5mHe5TK65eSX+oIfOthhP/2HPoD96zFq1mo5QCwDZLd1kB+mCv2TJCoKW8/q+1rb+xnfJyEGy6ZOPwRMREREREVEwP8Olcxl+ses3AFRlVxGPVXEo7ASVmS1/OO31LYd7yWYsAj6nuV2mJETCTvPD139CoqUHAFdVkK4uZwzb8c3vXN4STNNz2veJ55wGeBPZyf5kwsU+rn7LCgwDdm1tZcfrRwY9r/7ai4jkuvHgpePh10847na7mVteBkBjdw8ubym+0FzAVnZeREREREROScH8DPdiyyt0Jrso9ZVw9ZwrAPhD31IAsgdfxeprO+X1hw50AxAOOP/esPJyLqo7j/JsGE/GxDJskv4c6XQKwzAoLXWC10Lzu6Hsl4ejZfZTIZgHmDO/jI2XLgDg6Yf30nYkcsI5weJSsss92LaNv8dLbF/LCeesqK8HIG54aGw8QKh8LQCxri2n3eYgIiIiIiIz15QL5vft28cHP/hB1q9fz0UXXcQ3v/lN0ukTS5SPd8UVV7Bs2bIT/kmlUhOw6jOTZVs80vgUAFfPvZyzFtViGgZbu3zkap198Ok3Tp2dP7S/G7DJpZzsdO3c5fzRsrdxc8mbAGj0tPObrfcBUFpajivfjT6THHonezg2mJ86j+xZ59czf0kFVs7mod9sI5nInHDOvPMvoM11CIDYc43Yx+2xrw07XevT3gBb3niNQOkKDMNNJtlOJjF4xl9ERERERGTqREZAb28vt956K5lMhu985zt89rOf5e677+bv//7vh3T9tddeyy9+8YsB/3i93nFe9Zlrc/tWOhKdhNxBLqg7l6Dfw9L6EgB2BDcAkNn5NFZi8P3b8ViajrYoLqOHXDaJx+unrGYOhmGwwpoHQKO/g8NthwEoLSvrvzY7jBnzMPUy8wCGYXDFDcspLvUT6UvxyL07sKyB2XTTNKm+aj2JXBSv5aPj8YFz5Et9HkwDbNNFW1+U5iNtBEqWARDt2jJhn0VERERERM4sUyqYv+uuu4jFYnz3u9/lkksu4R3veAef//znueuuu2htbT3t9ZWVlaxfv37AP8ePVpOjHstn5S+dcyE+l/Ojx7nLqwF45HAYs2oh5NJktjw46PWFEvvS4igAlbMXYppOsF1ofrdy6VrCWT8AO5L7SOecKovhZ+anzp75Y/n8bt78tlW43SaHDnSz6dmGE84pm1VP32znO/IcgURDR/8xl2FQ4XN6BqS9QTZvfoVgvtQ+3r0V2zqxW76IiIiIiMiUCuafeuopLrjgAkpLS/tfu+6667Asi2effXbyFjYNtcbbOdDXiGmYXDbnwv7Xz15WjWHAgZYIqWVvBiC97VGs5Il7wg8dcJreBXxOUF9ZtxAAK5XF6nW2NyxctIxqnIz8/swh/u31/ySRiZNNO9eeyZn5gorqMJe+2ekz8MqzDTTs6zzhnEVXvIkj1gEAok8dwE4fDdIr/c4PKdlAmO7uTtq7TUx3GCsbJxHZOwGfQEREREREzjTuyV7Asfbv38/b3/72Aa8VFxdTVVXF/v37T3v9fffdx913343H42HDhg187nOfY9myZaNel3sK7dM+nstlDvj3UG1q2wzAyoqllAWL+1+vKPGzfG4ZOxq6eTlawyVV88m1HyS37WG8572j/zzbtjmcz8znUk7VRE39Qtxuk3SLM3LOLPZhe2zSCSewz/kN9vTs5ydb/oPrTQvDdOMLlGIYp197IZgv9run5N/HqvWzaGvuY+urzTx6307e85ENFJcG+o+73X5qrlpD/OFmghTT9cR2aq5fB0BVwMuOnhjh2nroPMSWN17jknPW0Nf6PInuLRRXrJisjzUmRvqMikwUPaNyJtBzKlOdnlGZ6qbjMzqlgvm+vj6Ki4tPeL2kpITe3t5TXnvFFVewdu1a6urqOHToED/4wQ9473vfyz333EN9vmP4SJimQVlZaMTXT5Ti4sDpT8qzbbs/mH/TogtO+HyXb6hnR0M3m/Z08tbr3kXr/36T1BsPU3PZ23EFwgAcOdxLIp7B502SSvRhmCaLVqzE4/XRudPJTIdmF5PJxPLrK+bLV72Drz35r8RiR6AogCdQQXl50WnXm85ZZPJ70esqiwl6pl52HuAt715HV3uM5kO9PHTPDj74yQtxH7PWsrL1PL97L4FDRbiOWBitEUqX1zIvUgRHuvGUVeDx+eju7iJjOD9CxXt2UxQCt3fqP4OnM5xnVGQy6BmVM4GeU5nq9IzKVDedntEpFcyPxpe+9KX+/96wYQMXXXQR1113HT/60Y/46le/OuL7WpZNX198DFY4Plwuk+LiAH19CXL5Weync6C3kZZoO17Tw+LQYrq7Y/3H0u3tzH7pQT546FUCB5O8sbsCvxnCF4rR8vgvCV7wLgB2vNEMQEVFgmQnlFXPIRrLQixLpLEHAKvER0NDvvldaTnlRiV/fs7/4fHXfwjA7r4OilqOUOI78QecY/WknC7xpgHJSILUFO6DcM0tK7nrP17hyOFefvuLzVxxw/IBxxe/6Qq2/eReZhuLOfLATnKlAYL5HypaoymuWbmG1157hede2sF5y2pJJ1o4vO8FSmrPn4yPMyZG8oyKTCQ9o3Im0HMqU52eUZnqzqRntLg4MKQKgikVzBcXFxOJnLg3u7e3l5KSkmHdq7q6mnPOOYdt27aNel3Z7NT+ywbI5awhr/Ol5tcAWFu1Cjee/ut6Hn+U9l/8HDubpaZw36Y4MSAGRA7/jir3XMJnbeTQwR4A/N5ukkDFrAVksxa2bZNtd378MMr9dOx2mr2VlpaTzVrUBmq5pHolVu8OmtMJnnj5+/zZWR+j1Hfyv99IKgtAwOUil7OBqTt/PRDyctVblnP/L95g22tHqJ5VzPK1tUdPMD1UXr6a6GMthN2ltD+0nbIrnYC/K5Vh0ZpVbNv2Br29PSTsObhooa99E8GKc8/4Zo7DeUZFJoOeUTkT6DmVqU7PqEx10+kZnVIbBhYuXHjC3vhIJEJ7ezsLFy6cpFVNP9s7dwGwrmp1/2tdD9xP2//ciZ3NEli+gthN7+Mnc67nDwuupviSyzBcBpmoTfP3/o0jP/5PjuSz79mks1++sm4BAFYsg53MgmngKg/Q1eWU3JeXV/a/lyfnBPtJ009rvJ1/2fR9OhPdJ11vNOME8+EpWl5/vPoF5Wy8ZD4ATz20h/aWgT9Q1SxYRvesHmzbwtWWw32wC59pYgMRG1atcrrZb9nV3T9zPh0/PMGfQkREREREprIpFcxfeumlPPfcc/T1HZ1r/uCDD2KaJhdddNGw7tXa2sqmTZtYs2bNWC/zjNad7KEl3oaBwfKyxQBEt2ym49f/C0DFLW9jzl/8JatveBN9pbW85ppF56U3U//5PyPoTK2j6eVtpNM5PB6LWE8LcDSYz3U4gbqrzI+FTW+vE6SXlZX3r6Ewlu76pe+g0l9OR7KLf3n1+7TFj45sO1Ys3/wuNAU72Z/M2RfOZd6icnJZiwd/vY14ND3g+PKrruWQ5fyoknjhMFVep0imNZFm+fJV+Hx+evtiZF1zAIh2vDqxH0BERERERKa0KRXMv+c97yEUCnHbbbfxzDPP8Ktf/YpvfvObvOc976Gmpqb/vFtvvZWrr766/8/3338/f/EXf8G9997LCy+8wC9/+Uve97734XK5+OAHPzgZH2XK2t7lBJDzi+cS9ASxkklaf/JjAEqvuJKKG9+CYRh43C42rnS+86e3NONffBYVl51F+XLoLZ4NQHFsJ7ZtESwqI1jkjJ/L5UvsXZVB+vp6sCwLj8dDOOw0urNyKaxsfi59yQI+e84nqAlW0Z3q4duv/oCWWNsJa45lnGD+TMnMAxiGwZU3raC0PEC0L8WDv946oJzH4/VT/aa19GTacNkuSjud760tkcbj8bJmzXoAdh50fgSId2/DyiUn/HOIiIiIiMjUNKWC+ZKSEn7yk5/gcrm47bbb+Kd/+ife8Y538IUvfGHAeZZlkcsdndM9Z84c2tra+PrXv86HP/xh/umf/olVq1Zx1113jaqT/XS0o3M3ACsqnLnoXQ/cT663B09VFZXvfM+Acy9dWwfApl3t9EZTeM99B74Sg1h5FQB+y2mCV+wK9l+TzWfm3VXBASX2hf3emaSTfTfdYUyXj1JfCZ85+/9QF6qlN93Ht1/9AU3RIwPWEe3PzE+pFg+n5fO7ue4dq/H53bQ2R3jy97uw7aP7/WsXrKRnToSslaYq4gT6rQkneF+2bBWhUJj27hw5wth2lljX1kn5HCIiIiIiMvVMueho0aJF/PjHPz7lOXfeeeeAP69fv/6E1+REOSvHzu69AKwsX0q2r4/uhx4EoOpd78H0eAacP6+2iEV1xexr7uOpLUe46cL5uFZcQduzTsbeXQbkwL1jLx33/Irym95KrvNoZr57jxPMH1tin005r3n8R18r9hbx6bM+znc2/zuHo83c/uoP+eRZH2FukVNifiZm5gtKy4Ncc8tK7v/FFnZva6OsMsTZF8ztP776yht49b9/RmVqAwBtUSf77nK5OOusc3nmmcdpaHWzsAaina9SVLVhUj6HiIiIiIhMLVMqMy/jqzHSRCKbIOgOMK+4nt6nnsDOZvHNX0Bo/dmDXvOms52S+ideayJnWUTnXkvG9uExUiQMZ6RdKJGj6/776PifX0LOBo+JWezrz8yXlVX036+wX97tqxzwPmFviE+f9THmFdcTy8b519fu4EBvI3A0M38mBvMAc+aXcfHVTn+CF588wIHdR3sDuD0+Fl17ObnIAQA60xkySafh34IFiykrq6C504ttG2QSLaTjzRP/AUREREREZMpRMD+D7Ot1AsbFpQsxchY9jz8GQNlVV5907Nm5y6sJBzx0R1K8truD5iMpACrdB8lms7jcXua+44/BMEjudjquuyucsvvu7kKZ/dFgvj8z76vgeEFPkE+t/ygLS+aTyCb5zuY72NtzoD8zfyY1wDve6rNns+psZ9vCI/ftoKM12n+som4B/sUevDkLyzBofOEAtm1jGAZnn72RbM6kvdcPQKRj06SsX0REREREphYF8zNIIdO9oGQu0dc3k+vtwVVSQtGGjSe9xuN2cflZThD6+xcbac6PpAsHnH+X+d2UX34ltR/5GJ4iZ556onkXsWiUVCqFYRiUlpb13y/TX2Z/YjAPEHD7uW3dh1lauohULs33Nv8H3Smn9PxMzcwXXHTlImbPKyWbsfj9r7YSi6b6j6288BpCaWeEXVt3ivRu53uqq5tDbe1smjoDAMS73iCXjU/84kVEREREZEpRMD9D2LbNgd4GABYUzyO66WUAis+/AOM0jeWuOqcej9vkwJE+DueDeXdFCIDSVDfZxtcpPu8CAvNWAhDb8Qr7f/HfAJSUlOJyufvXkO0vsx88mAfwu318Yt2HWFm+jLSVIZLJAGd2Zh7A5TK59q0rKcl3uH/gl1tJp5ySetPlor7a2XrQ4TOJv3iYbGccwzA455yN9MY9RBJupxFe52uT+TFERERERGQKUDA/Q3SneuhN92EaJvX+aqKvbwYgfM7Js/IFxSEvl6ydRRDIZSy8PhexWH4/vCtL8umfYMVikHYep2y8nc4mp+S+rPRoo7tcpg/bzoJh4vaVnfA+x/K6PHxs7a2sqliNYTiN+XZOg27uPr+HG965Bn/QQ0drlId+u51czulkP6e0BIBmTxLDNog+tg87naOiooqFC5fQ1OlsX4i0v4JtWyd9DxERERERmf4UzM8Qhaz8nPAssjt3YadSuMsr8C9YMKTrr904lyKcffVF5QbRng7AoKykDDvWRfL5P4ANRshD7Uc+RKzImSvv2rkTO+tknwtj6dzecgzj9I+ex3TzrqXvAsC2s/xs51082vjUsD73VFRSFuD6d6zG7TY5tL+bpx/ag23b1AS8AHSEXCRyEYhbRJ9pwLZtzj77PLqiRWSyBrlML4ne3ZP8KUREREREZDIpmJ8hju6Xn0/0NadMO3zOhpM2vjteVWmAecVOE7beeAsAJRW1FF32QQAyDU0AuCuDhNefRXq2s8/evXs3zf/2HaxM5pixdCcvsT9ewul9h9d05rP/eu/93LP3gQHz2s9ENXXFXHXzCgwDdrzewqvPNVId8AEQ9wTZnnsFy86ROxQhvaODYDDEylVn0dzlZOf72l6czOWLiIiIiMgkUzA/Q+zvczLzC4vqie/YDkBo9Zph3cOXcwLoSNQJ3CvqFuCeswrPisuxDaf5navUTSaTIVpoWpdKE9vyOs3f+w7peBsAbl/5IHcfXCyf1a8KhLl50XUAPNz4BP+985fkrNyw1j/VLFhS2T+y7qWnD3JkZzt+l4kN1F55A7viLwEQf6WJbFuMlSvX0pOswrYhHWsgnWibxNWLiIiIiMhkUjA/A2StLIcjznzy+nSQbHcXhttNYPGSId8j2pckGcs3ojO6AKicvRAA3/l/BC5nHn2u6Ul6epzjgUCQ+X/6KQyvl/jWLcT2bgbA469kqKKZozPmr5n3Jv54+TsxMHjhyCvc8cZPSefSQ77XVLT67NmsP68egCcf3ENpfvtBuriGovXzOJLan98/vx8zbbN2/cV09DkZ/O7mZydt3SIiIiIiMrkUzM8ArfF2cnaOgNuPd7+TVfcvWozp8w35Hi1NfQCUVvgoNnoA6LacJnZ21gRCYNvkmp6gfYeTUS4vryC4YiWzP/3nGD4ftscZxeYyi4f8vrFsPpjPd7K/sO5cPrbmT/CYbrZ27uD21+6gLz/S7Ux1/uULWLKyGsuyiR3sBaA5nmLl+dfSVtJEJNsFKYvoYweonz2PmDUXgETvNnKZ2GQuXUREREREJomC+RmgkJWvC80isXMHAMEVK4d1j5bDTjBfXZXGNCxStpf7Xu7Gsm1ynQkADH8Ggwwd+7cAUFbm7I0PLlvO7E9/GsLOiLr2H/8CK5kc0vsWMvMhz9HxeWurVvHJ9R8l6A5wsK+Rb73yXZqjLcP6PFOJYRi86YZlzFtUjrvPqTRo6IljmiYbb3g/2zLPkbFSWJ0Jki82sWrdVUQSHkzDonn/o5O8ehERERERmQwK5meAptgRAOaEa0ns3gVAcPmKYd2jkJn3eboB6DMqaWiN8uL2VrIdcQDcs6txzV5FL06jvLLiov7r3XPKMAwDO5EjuW03h7/9T+QSidO+bywzMDNfsLh0AZ/b8EmqAhV0Jbv5p03/xo7OM7fDu8tlcvUtK6kLOt9dcyxJd2eMQLiEdde+lc3Rx7Bti/TebsJtkPMuByAd2UI6HZ/MpYuIiIiIyCRQMD8DNEWcYL4+GyYXiYDLhW/evCFfn0nn6Gh1StmzSScDXjd3EQB3P7aXdJtT6u2uDOJ900fpM0MAhPY+3t91PpNsB8AbnoUZDJLcu4emf/lHcvFTB6LRbCEz7zrhWE2wis9t+CSLShaQzCX5ty3/ydNNLwz5c001Ho+Lt96wAsOysdwmv/7NNqJ9SWYtWMmsc9ayK/4yAPGXm1lUfQnJjBuPy2LftgcmeeUiIiIiIjLRFMzPAE1RJ5iv7nBKuH31czE93iFf33Ykgm1DKOylp90ZcXfheWdTUxagN5Ym2RoFwFUZJJaBHCYuO4e/8SUyWx8GjgbzvrJ65vzFX2IGQyT37+PwP32TbKTvpO8dyzjd7MODBPPO6yE+ddZH2Vh7NpZtcdeuX/O/u+89YzvdB4MeqoPO302PYXPfXVuIx9KsuuDNpGstmlN7MWzIPHMEb2AdAK70Lrq7Oydz2SIiIiIiMsEUzE9zfekIkUwUA4PQkR4A/AsWDOseLU1OU7aqGkjFI5guF1Wz5vK+a5dRapr4LLANcJUF6OpygsrSUBADSL1wF9lDb5BJdgDg8Vfhnzef+s//f7jCRaQaDnLo779OprNj0Pfuz8y7Bw/mATymmz9Z8W5uXHANAI8ffobvbP53IunosD7nVDEnHADAqPDT05Xg3p+/TiKe5fzr/4QDru10Z1ohY1Gyu56s5cbvzbHz9fv7qyBERERERGT6UzA/zRVK7KuDlWQanFnz/vkLh3WPwn75UMAJ6suq63G5PayaX84VC5wmdx22jWXSnyEun70A95KLwLZIPPJvZPL79gtj6Xz1c6n/wl/hLq8g09pC4ze+RqqpacD7Wrbd3wCv6JgGeIMxDIPrFlzFR1e/H5/Ly56e/fzDy/9KY+TwsD7rVDAr6EwZKFlSTqjIS3dHnHt//jrZnJuL3vIhtiSeIJ7rw4ja+CLOeMESbxP79u6azGWLiIiIiMgEUjA/zR2O5jvZB2tINhwEILBw6MG8bdu05oN5w3JK5Svrjl5/0ZxSAPbGUzz4YuPRYL68Ev+lH8A1axl2NkE24/wQ4PZX9V/rrZ1F/Re/hLduNrmeHg79w9dJ7N3TfzyayWEDBicvsz/e+uo1fH7Dp6gOVNKd6uGfN/0bLx7ZNOTPOxXU5YP5jkyWm9+7fkBA7wtVsf6qt7Gp7yEyVorg4flYlotwIMu+XY8Rj2tUnYiIiIjITKBgfppryo9sW5AIYqfTmH4/npraIV/f0xknlczi9phEu50sd2Xd0TJ9T8TZh38oneWepw/Q3uGUy5eXV2C4PASu/hRWZS0YBoYFJp4B9/eUlVH/l1/Ev2gxVjzG4X/+FtEtmwGIHLNf3jSMIa95VqiGz2/4FKsrlpOxsvx0xy/4xa57yFjZId9jMtXm98z3ZrK4w17e8kfrCIULAf0WquetZc76s3gt8gh21oWv3flxZU55Dy+88JTK7UVEREREZgAF89Nca7wNgOpeCwDv7DkY5tD/2o/ks/JVNV76Op0fBgrBvH3MjPlQXREmGdIp58+lpeUAGP4w7o03AWDGkyQf/i52LjPgPVzhMHP+/POE1q7DTqdp/s7tdD/2CJEhltgPJugJ8PG1H+C6+VcB8FTTc/zTpu/RFh98b/5U4ne5qPA5P3o0x5OUlgd5y3vXEQx76WqPce/Pt7DknOvwzSlja/QpfB2LIeeiKJAl0buH/fv3nOYdRERERETkTKdgfhqzbZu2uFMaX9TljIDzzZkzrHu0HnaC+ZLiOGATLqnEHyoGwIqksdM5MA1uvG4Z1eF8B3lXAI/naAY+azrBuyuZI3d4K8nHfoh9XLd50+ej7k8/RfHFl4Bt0/6z/6bpmWectQ+xxP54pmFy48Jr+MTaDxLyBDkUaeIfXr6dV1o3j+h+E6ku5JTaH46lACgtD3LzMQH9fT9/g7WXvodYUZw9fZvxdjjZ+fk1UV566VmV24uIiIiITHMK5qexvnSEZC6FgYGrtQsA3+zhBfOFTvYe09kLXzn76H75XIfzA4GrPEBJ2MclK50gvzXi4pWdbf3nFcbS+eedD6ab7IFXSD71X9i2NeC9DLebmls/ROXb3wlAZ+MhAMLm0EvsB7O6cgVfPPcz+Xn0Kf5r28/42c5fkT6uQmAqqQ/5ATgUS/a/Vgjow8U+eroS3H/3LtZd/iccMfZz5HCyPztf7I/w/PMqtxcRERERmc4UzE9jrfmsfEWgnEy+U7x3Tv2Qr0/EM/R0OWXzqZjTSK/imP3yuc58MF/pjFLz4vw5mvHxnw/soCVfDZDNj6Xz1a7Bf9UnwDDJ7n6G1DN3nhjQGwbl193ArE98kkRRCQD2C8+SaW8fxic/UZm/lE+f9THePP9KDAyebX6Rf3hl6na77w/mo8kBQXlpeZC3vm89JeUBon0pHrq3kTWXvI+9sS2kWksBWFATpampkb3qbi8iIiIiMm0pmJ/GCsF8nauMbH7++3Ay8635rHxZuZ+etkYAKmcdDeazHU6g764MAtDV5QTtJWUVJNM5vvebN4gnU2RSznt7/FV45p+D//KPAAaZHY+TfPI/sa2BAT1A0TkbYO1ZAHhbj9Dwta8S27plyGsfjMt0cdPCa/nk+o9Q7C2iJdbKt175Lr8/8Ci548r+J1tdyIfLgFg2R096YOO+cLGfW/54PZXVYRKxDE8+0sPSDbewZd8e7KxJOJCluiTJSy89S29vz+R8ABERERERGVcK5qexwn75uTFn/7q7rAxXKDTk6wvz5SsqM2QzaTxePyWVTid827LJ5bP2roogqVSSaDQCwPuuP5uSkJem9hg/e/BlsC0M04PL45The5ZciP+Kj/Vn6JOP/xB7kE7zMY/T1b0kHMSKxWi6/V/ovO+3gwb/w7G8fAl/vfHPWV+1Bsu2uP/AH/iXV7/f/31NBR7TpDbg7Js/FE2ecDwY8vKW966jdnYxqWSWl14wqV1yOYcaowAsro1hWVmeevxhcrmp9UOFiIiIiIiMnoL5aayQma/qc8q0vXWzh3V9S775XcDXA0DFrPkYhvPIWL1JyFrgNjGLfXTlM//hcBHV5cV86u1r8bhNuruc8nyPvwrjmPFynsUX4L/yE2C6yO57keTD38POpge8fyTtBKEL3vMeSi67HGybzt/+hubv3k4uNroGb2FviI+sfh+3rnwPAbefA32NfOOlb/PE4Wex7NH9WDBW6sMn7ps/ls/v5sZ3r6V+YRnZjMUbW0pJ5paRTll4vVnmliXp7utm07PPTuSyRURERERkAiiYn8ZaY04TuuJeJ0j2zqob8rW5nEVbi5Npz6VbgYHN77Kdhax8AMM06OzM78+vqARgYV0xH7lxJVVhZ998ezRwwnt4Fp5L4JpPgctNtuE14r/7JlbSeU/LtolknWx9ScBHzfs/QM0HP4zh8RDb8jqNf/dVEvv3D/nzDMYwDDbWns1fb/xzlpUtJm1l+OXu3/Ivr36fI7HWUd17LBy7b/5kPF4X1719NcvX1mLbBnv2L6C1NQzAvJooLtNi58GdNG7XuDoRERERkelEwfw0lbGydCa7AfB2OQGyt6Z2yNd3tEbJZS38ATd9Hfn98sc2v8t3sndXDNwvX15e1X/OucurOXuhk41/aU+OZ984csL7uOeuJ3Dd58AbxGrdS/y3X8PqayOezWHZYABhtzNnvuSiS6j/4pfwVFaR6Wjn0D/8P7oeuH/UZfdl/lI+uf4jvHvpLfhdPvb3NvCNl77N7/Y/RGaQ8v+JUsjMN8dTZE/xGV0uk8uvW8q5F88DDN7YeRaJBJjuHCsrnfU/98ozRA51TMSyRURERERkAiiYn6ba4x3Y2PhdPuw2J4jz1g49mC+U2FfVuIhHup0u87Xz+4/3j6XLd7Lv7HTeo5CZL6gMOnu4WyIh/vOBHWzadeK+dHfdcoI3/zVGuAK7t5X4PX9H95EDAATdLlzHjKbzz53H3K98lfCGjZDL0fHr/+XwP/4DmXyZ/0iZhsmlcy7kS+f9BWsqV5Czczxw8BH+/qVvs7fnwKjuPVIVPg8ht4usbdOUnzd/MoZhsOHi+bzp+mUYhoftO5cBUFbZSZnbJE2GJx9/mNTh3olYuoiIiIiIjDMF89NUW8IJrmt8lWQ6nADaM4zMfGG+fHHYCepLqmbj8ToN2eycRa7bKf12VQZJp9NEIs555eVHg3nLypBNOfPt586Zj23DD+/dymu7TwzoXWWzCd7yZcyKedjJCO0v/C8ApV73iecGQ8z6+Cecsnufj8TuXTR89StEXnlpyJ/vZMr8pXx8zQf48Or3UeQN0xJv419e/T4/3nYXvam+Ud9/OAzDYH6Rk50/GE0M6Zrla2u5/p2r6eqto6OzGNNlMKeqEZdt0EWElx97knRDzziuWkREREREJoKC+WmqI+FkquuzQbAsDK8Xd1nZkK61bbu/k71hOz8KHDuSLteTBMvG8Lkww97+EvtQKIzf7+8/L5NsB2xMd5A/umY95y6vJpuz+d5vtvLi9hP3pJvBUoJv+SLuBRvoczv7vsORZuzciaXuhmFQctElzPvK3+KbvwArHuPID/6N5u9/l2zv6LLPhmFwdvVavnLe57hw1kYMDF5ufZW/feGbPNL4JNkJLL2fH3YqHw5EhhbMA9QvKOdtf3IOjc1rsCyoqHRTZh4CYD8t7H5yE6m9XeOyXhERERERmRgK5qepjoQTrNVEnb9ib03tgG7ypxLpTRGPpjFNg3jvYWBg87v+EvuKAIZh9Afzx5fYZxJOwO7xV+N2ufjYW1ZywapaLNvmjnu38fSW5hPe2/D48V91G7F55wIQ7txP/L6vY/UNPjbOW1PL3C/8NeU33gSmSXTTKxz8m7+m78XnsW17SJ/3ZIKeIH+84h18fsMnmVdcTyqX5jd7f8fXX/oXtnfuGtW9h2pBkRPMN0STWMP4PGUVQa5716V09jp/bwsXmLgTTkPE1+0DtDy7i+TWtlF/RyIiIiIiMjkUzE9TnflgvizijHcb1n75fIl9RY2P3nYn4K46NpjvPDpfHo7ulz+2xB4gkw8evYEa53zT5MM3ruCy9XXYwH89sJMHX2w8IaA0DINo6XwAiq0EVtt+Yr/6Cpl9Lw66XsPtpvKWtzP3S3+Dr34uVjRKy7//kObvfHvUe+kB5hXX87lzbuN9y99JkSdMa7yd773+I77z2r9zKNI06vufSm3Qh89lkspZtMRPvW/+eD6/h3WXvJ2c5SMYMqkrS2KkI+QMi5fZTd+mRhIvNmFbCuhFRERERM40CuanqY6kE8QGe5zAe3j75Z0S+7KSOLZtESwqI1h0tEQ/29/8bmAn++Mz8+lCZj4fzAOYhsGfXLuMqzfUA3D343u58w+7yOYGdmvvTWcAqDr7Olw1SyCTIPno90k++SPszOBBrX/uPOb+9VeouOVtGG43sS2vc/DLf0XX7x/Azo6uNN40TC6oO5evnP95rqi/BJfhYmf3Hv7+5dv5r20/66+EGGumYTA/39V+OKX2BW5PgKr51wAwd4GfQKoLcmniRoqX2UNiVzuxxw9iZ3Jjum4RERERERlfCuanIcu26Erkx9J1O93kPVXVQ76+Jd/x3OtyfhCorDualbczOawep/mduyJIJpOht7cHGJiZt227v8zee0wwD07m/T1XLuY9VyzGAJ7Y3Mzt/7uFePJowN2bdv67rLiMwE1fwHv2WwCDzK6nif36b8i1DD433XC7qbjxLcz98t8SWLIUO5Wi41d30/DVLxPfsX3I38HJBD0B3r7kJr5y/ufYULMegFdaN/N3L3yLX+25j2gmNur3ON78ouHvmz9WqHw9vlA9brfF4pW1uHo7wMrRaUR43ThA5nAv0T/sw4pnxnLZIiIiIiIyjhTMT0O9qT6ydg7TMLG7ncDcU1V1mqsc6VSWrnYnIE3HnbnwlceX2NtgBD2YIQ+dnc5e9mAwRCAQPHpeNoqVSwAGHv+J720YBtdsnMsn37YGr8dk24Eu/t+dr9DUEcOybXozTjBf4nVjmC58G95G4Ma/xAiVYfe2EL/36ySf+5+TZul9s2cz5y+/SO2HPoqrqJh0yxEO/9M3af7B98i0D77/fjgqAxV8cNV7+f82/BnLyhaTtXM8duhp/ua5v+fefQ+OaVC/qMj5XvdHEuRGsMfdMAzK594Ehovy0m4WLD8bs68TbJvDdLDb1USuM0Hkd3v6qy5ERERERGRqUzA/DXUmnax8haeEbH7PuOe4EviTaW3uw7ahqNhLT1sjMDCYz7Y7wZ67ygkwOzqcffGVlQMD9kJW3u2vwDBPHC9XcNbSKr74x+dQGvZypDPO3/3kZZ7aegTLBgMoOmY0nbtuBaF3fA330ksAm8zWh4n975fINu8Y9N6GYVB84UXM/3/foPSKq8AwiL7yMge//EXaf/FzctHokL6TU5lbPIdPrf8ot637MLPDs0jmUvyh4TG+8tw3+O2+3xNNjz6orwv5CLhMkjmLplhyRPfw+Cspqb3UWXPdbtZsvAUj2gPALquJg+527HiG6O/3kt6nTvciIiIiIlOdgvlpqDCWbpYdhlwOXK4hj6U7ctjZL19VlSGbSeHx+impmNV/PJfP2rtOCOYHltL3l9j7B74+mHm1RXz1gxtZMa+MdMbi50/vB6DI48J1XAd+wxcicPmHCVz3FxihcuxIO4n7/4HE43dgxXsGvb8rGKL6ve9j3lf+luCKVdjZLN0P/4EDf/WXdP3h91iZ9GnXeCqGYbCyYhlfOPfTfHTNnzAnXEcql+ahhsf58vPf4J69DxBJj/yHA9MwWFTsfN97ekeeOS+uvhCPvxorF2d27W6uvOnDmEmndH9Ldh/7jVawbOLPHCLxkhrjiYiIiIhMZQrmp6FCJ/tZKR8AnvJyDHNof9WF/fIBfw8AFbPmY+avtW27vwzbXRUCoL3dCearjtuTf7T53dD26heHvPzFu9dz44XzMf0uAPp6kjS0RAY9312/htA7/x+elVcABtk9zxH7xRdIb3kQ+yRz4H31c5n9559j9mf+HO/sOVjxOB2//AUHv/RFep96ckya5K2vWs0Xzv00H1tzK/XhOtK5NA83PsGXn/s6P9/1a9riIyvxX1LiBPN7+0YezBumyym3xyDevZWScAvveN/H8VgWGAZb7f28kTkAQGpHB7GH92MltI9eRERERGQqUjA/DXUknWC+POH89bqHWGJvWTatzU5m3ko7wXjl7EX9x+1YBjuRBQNc5QFisSiJRNzZk33cWLrCfntvcBZDZZoGb7t0IVec53S6T0QzfO2nr3DfswfIWdYJ5xveAP6L/4TgLV/GrFoImSSpF+4i/quvkD20ZdAZ6oZhEFq9lnl/83+p+cCHcZeVke3spPWn/8WBL31hTIJ6wzBYV7WK/+/cT/N/1n6AeUX1ZKwszzS9wP994R+5442fsr/34LDuuTifmT8UTZLMjrzzvC80u7/cvuvw73C7U7zzfR8h4HaDYXLAfYTnopuxDMi2RIncu5tM8+A/qIiIiIiIyORRMD8NFcaklUSdoM9TObRgvrMtSjZj4fWa9HU4++WrBuyXz5fYlwcw3GZ/iX1paTkej6f/PCuXIptySv29gaEH8wW+sNd574CXnGXzm6cP8Hc/eYUDR/oGPd9VvZDgLV/Cd+kHMfxFWN3NJH7/zyR+901y7QcGvcYwTUouvoT5X/t7qt79R7iKi8l2dPQH9T1PPYGVGV1W2jAM1lSu5PMbPslnzvo4qytWYGPzevtW/mnTv/GPr3yPV9u2kLNOH5yX+TxU+j1YwL4RdrUvKK69BG9wNnYuRWfDb3G5XLz1XX9COOAH00VHKMbj3Y8SsXPYySyxh/eTePWIyu5FRERERKYQBfPTUKHMPhBxOr0PtfldS2G/fK1JItaLYZqU187rP57LN787fr/8CSX2+ay8y1OCyxMa9vq7Uk4QfdWaWXz0xpUEfW4aW6N87Sev8D8P7R4wwq7AMEy8yy8j9O6/x7P2zWC6yTXvIP6bvyXxyL9h9bQM+l6mz0fZ1dey4BvfGhDUt/30xxz4wufoeuB+crHRNbEzDIMlZYv4xLoP8qXz/oILZ52L23BxoK+BH239b7783Df43YGH6Un1nvI+S4qd73Jnz2jXY1Ix7xYM00MqepBI2/O43W5uvPndFIVCYLqJFft4pue37Is7WfnUG23O+LrY6PoLiIiIiIjI2FAwP81kchl6005Q7u7Nz5gfYma+pckJJotDTgBXVl2P2+PtP378fvmODmf/d2Xl4MH8cErsj1UI5iv8Xi5YXcv/+9j5nL+qBht49NXD/PV/vMAL21sGL6P3hfCf/x5C7/573EsuBAyy+18i9ssvknjsB+S6mwZ9zwFB/bv+CHdZGbneXjp+/b/s/8s/p+2u/yHTMfqRdrNCNfzxinfyfy/8K948/0qKvGF60308cOBhvvzcN/iPN+5kd/feQT/birKjwbw1ghF1x/L4KyibfS0APc2Pkow24vX6ePP1b6MoXAQuD5nSanan7uOFnkYytk2uLUbfb3eR3tc16PpERERERGTiKJifZrpTPQB4TQ92lzOibqh75gud7A0r36G+bkH/MTtnOTPmAVdlEMuy+mfMnxDMJ0YezFu2TXfKybyX+5zS/ZKQl4/dtIrPvWc9NWUBeqNp7rh3O1/76SZ2H+oZ9D5mUSWBN32M4Nv/FtfcdWDbZPe+QPyXXyLx8HfJdTYOfp3PR9k1TlBf++GP4p09BzuVoueRhznwxb+k+fvfJb5j+6iD2RJfETctvJavXfhXfHDVe1lUsgDLtnit/Q1uf+0O/u+L3+IPBx8bkK1fEA7gd5nEsjkORUc2ou5YoYqzCJatBmw6D/wvuUyUQCDAddffQmlJKZgeMqXz6OYpnux6iY50FjIW8WcOEX/8oJrjiYiIiIhMopMPAJczUnfSCf7KvSVkunYB4DluBvxgIr1JYpEUhgHR7gYAquuX9B/PdSXAsjF8LswiL93dnWSzWTweDyUlpQPuNZrMfF86S862MQ0o8Q58PFfOL+f/fngjD77YyAMvNHLgSB9//z+vctaSSt5x+SJmVZxY0u+qmEvwzZ8l19FA+tV7yR7cRPbAK2QPvIJr7jq8a67FVbcC4/gReG43xRdcRNH5FxLfvo3uB39PfMc2opteIbrpFTy1tZRe9iaKL7wYV2j4WwkK3KabDTXr2VCznqboEZ5ueoGXWjbRFu/g3v0Pct/+P7C8fAkXzNrA2spVLCsJ8XpXhO09MeYVBUb8vuCU/5fX30gm0Uom2U7HwV9Tvfh9+P0Brrn2LTz88O/o7u4kU7IAevfyUm8zc3xXsLqomMyhPrJtuwhcMAfvvNJRrUNERERERIZPwfw005XPzNdmg0dnzJeWnva6liYnK19R5SLa0w4YVB3Tyf7Y/fKGYdDW5uxBr6ysHhAIW7nk0eZ3wboRrN/J9pZ5PZjHBdgAHreLmy5awKXr6vjtMwd48vVmXtvTwea9HZy/spabLppPbXnwhOtclfMIXPMpcl2HSL96H9n9L5NrfJ1E4+uY5XPwrr4G9+LzMdzeAdcZhkFo1WpCq1aTOnSIniceo++F58m0tND+i5/T8ZtfUXTueZRcehn+hYtO+FFgOGaHZ/GeZW/llkXX81rbFl5oeYW9PQfY0bWbHV27CboDLC6/FJjLju4o19UPreLiVEyXl8oF76Rl13+Qih6kp/lRymZfjd/v55prbuTRRx+go6OdTOlCPH2NHMneR2vnhWwomUcZEH+igfTcHoIbZ2OGPKd9PxERERERGRsK5qeZ7qRTWl+dcv5qPeUVQ5oxX5gvX1LUS3cPlFXPxus/GhRn25yma4X98q2tTjBfUzMw+56OO6+7vCW43CcG1addfz6YL5TYn0xJ2MefvHk5V26o51dP7GPz3g6e39bCC9tbOG9lDTddOH/wTH15PYGr/hSrt4X0Gw+T2f00VqL41gEAAFQBSURBVNdhkk/9J8bL/4tn+WV4ll+KWXRiNYOvvp6a999K1TvfRd/zz9PzxGOkmw7T9+zT9D37NJ6aWoovuJDiCy7CU1Ex7M9e4Hf7uKDuXC6oO5e2eAcvHnmFF1o20ZPqZUvbYxSH309HCn626xEuqVvBnHDdqH5E8PgrKZ97E50Hf0Wk7Xk8/irCFevx+XxcddUNPPHEQ7S0NJMpmYc70gSpx3khupS5nnNYEQqQbeylt6mP4Dmz8C6rxDBHvhYRERERERkaBfPTTH+ZfdwJqIbc/C6/X95lO/Plq+uX9h+zbZtsaz6Yrwlh23Z/Zr66unbAfVKxw8DIsvIAnUMM5gtmV4b4s3es5cCRPu579iCb93bwwrZWXtzWyvollVxzbj1L60tPCHbNklr8F78f37lvI7PzSdJbH8GOdZF+7T7Sr92Pa84qPMsvwz3vLAzXwP9NTH+A0jddQcnlbyK5dy89Tz1OdNMrZFpb6Lzn13T+9jcEli13yvTPOQfTP/Jy+OpgJTctejM3LLyGXV17ebFlEzv6mnC55/JKexfPNt1OdbCSc6rXcXb1OmaFakYU2IfKVpFJttPX8hRdjffj9pbiL5qP1+vlyiuv49lnn+DgwX1ki+Zgm25cid200k5z93mcFa6h0usm8VIz8V2dFF0yF3fF8H/IERERERGRoVMwP80UGuAV5WfMD6X5XSqZpbPd6Xwf73OC8er6xf3Hrb40djILpoGrMkgk0kciEcc0zROb3+WDeV+ofkTr7xpmMF+wYFYxf/aOtTS0RLj32QO8tqej/5+5NWGuPXcu566oxu0aWKVg+EJ4112PZ801ZA++SmbHk+SatpE7vJXc4a0Y/iLcSy/Cs+xSXGUDf6AwDIPAkiUElizB+uP3E9n0Cn3PP0di547+f9ru/DHBNWsp2rCR8Lp1Iw7sTcNkRcVSVlQs5dX2Hv73YDth/wqs7Gba4h38/uCj/P7go1QHK1lbuYp1VauYXzwX0xh6j8uS2svIJjuJ92yj48AvqVn6ITz+ClwuF5dccgXBYIjt27eQC9Xi8oVJ9zRgGg+x07sBX+9C1hUF8famiNy/B3NeCUXnzcYMqPReRERERGQ8KJifZrqSPQAEIk6386Fk5o8c7sW2oaTEIt7XgWEYVB6zXz7b6gT6rqoghsvsz8pXVFThdh99hGzbJhU7BIAvNGdE6+9IFsbSjSwInFdbxKfevpYjnTEefvkQz21tobE1yr/fv527n9jLJWvruHTtLCpLBwbVhunGs3AjnoUbsfrayOx8iszuZ7DjPWS2PEhmy4OYFXPxLD4f96LzMMMDy+hNf4CSiy6h5KJLyHR20Pf8c/Q9/xyZ1hZir71K7LVXMTweQqvXEt5w7qgC+9Xlxdzb2EHa8vPJs/4/uhL72NT6Oju7dtMW7+CRxid5pPFJijxh1lSuZF3VKpaVLcbjOvV3ahgG5fPeQjbdTTreTNu+/6Fm6Qdxe4owDIMNG84nFArxyisvkHaH8deuxmrdQazzJcyKJl51n09tJMj8gBe7oZfuxl7cKyopP3f2iD6niIiIiIicnIL5acS27f49857eGFnAM4TMfHNjDwBlZRH6Es58ea/vaKDZv1++urBf3ulWf/x++WyqCyuXAMOFNzCysXTtyTQA1QHvac4+tVkVIf7kzct522WLeOK1Jh599TC90TT3P3eQ3z13kJULyrlsXR3rl1SekK03i6vxbXwH3g1vJdv4OpmdT5E79AZWZyOpzkZSL96Na9Yy3IsvwL3gHEx/0YDrPRWVVNz4FspvuIn04cNEXnmJyCsvkWltJfraJqKvbcJwuwksW0543XpC684a1h57r8tkZWmYzV0RdvSkuGne2WysPZtENsn2zl1s6djGts6dRDJRnjvyEs8deQmvy8uKsiWsqFjGyvKlVATKB723aXqoWvgeWnf/F9l0N+17/5vqJR/A5XaehxUr1lBSUsZTTz1CMp3GW7sGs+cAkc4mDOM3FC29gNe6FzM3ARVeN/b2Dpp3dZK5dD6eBSXD/FsUEREREZGTUTA/jcSzCdJWfvZ3Vw8wtMx8c6Ozz95tOHPjjx1JB5Dr3y8fBujPzNfUHL9fPp+VD9ZhmK5hr783nSVj2bgMg7JhltmfTDjg4cYL5/Pm8+by6u52nnq9me0Hu9l2oIttB7ooCnrYuKKG81fWsLCueMB+c8N04Zl/Np75Z2Mno2T2v0x23wvkjuzq/yf1zE9w1S7FPf9s3PPPHtA4zzAMfPX1+OrrqbjlbaQPHyLyysv9gX1821bi27bCz/4b75z6fGC/Hv/8BadtWriuoojNXRFe74pwXX0lbtMk4PZzTs06zqlZR9bKsqdnP1vat7OlYxs9qV5e79jG6x3bAKgJVrGyfBkrKpaxpHQh3mOy9i5PmOrF76N1z4/JJNtp3/czqhe/H9Pl/MBSVzeH669/K48//gd6e3swi+ZSXjWXvsYtHN71LKGSnSTX3cDO3TA3bRHEpO/xA8SfMvCdVUP5yupRNewTEREREREF89NKocS+yBUk290IgPs0M+ZTySwdrREAkn1OMH5sMG/F0ljRNBjgrg4Sj8eIRJxmeVVVJ2l+N8L98m0JJytf4ffgGuNgz+0y2biiho0ramjrSfD0680888YReqNpHt10mEc3HaayxM95K2s4b2UNc6rCA643/GG8K9+Ed+WbsKKdZPe9SGbvi1idDUcD++d/jlkxF/f8c5zAvnxOf9DqBPZz8dXPdQL7I0eIvb6Z2JbNJPbuIX34EF2HD9H1u/sww2GCy1cSXLmS0MpVeAb5O1xcEqTE46Y3k2Vbd4x1FQOrA9ymmxXlS1lRvpR3Lb2ZxshhtnfuZkfX/9/encfJVdaJ/v+crfau6r3Ta/aEBAIJIhDZBEV2cVARdEZG7ijcH+oM6uteeXmVy28cxuvvOvNiEMVhxnEZdBhRR0EWFSM7EUhYE5KQztJLeq99r3Oe3x+nqrqruxNChHR3/L55HU6d5zzn1NNd1ZX6fp/nPGcHexL7Gc6MMpwZZVP/E5i6yYrIUlY3rmBl/XJ66joxvQ20LP8YI7u+TyEzwOjuH9Gy/Gp0wwtAOBzhoos+wJNPbqKvbx9jGWhZfTb5gZdJx8d55Ykf0LVyPbll72Z0a5KOoiIA8NwQ+7cM4VnXyqKTFklQL4QQQgghxBGSYP4YUhli32EHwXHce8xHDj20eWjAvV4+HC6RSU6gaTrNncuq+yuz2BuNfjTLYLjfHWLf2NiEx1M7FL5QvV7+yIL56hB73x83xP6NtNb7+eA5y/nAWUt5dc8Em7cNs2XnGGPxHL96eh+/enofnS1B3rGqhQ0rW+hpC9UEnXqoCc9JF+M56WKc5CilvVsp7d2CPbQDZ3w/hfH9FJ7/OVqwAbPrBIyudZida9F8boJA0zS8HR14OzpovOhi7FSK9MsvknrxRTKvvoyTSpF67g+knvsDAFZrG4E1awmsPZ7AmjUYgSCGpvGOljC/G5zg2dH4jGB+Kk3TWBzuZnG4m4uWvodMMcvO6Otsm9jBtvGdRPMxXovu4rXoLgC8hofl9UtZVb+cVYveg37gN+TT+xnZfTetyz+KbvgA8Hg8vPvd72P79lfYsmUzo+MTBBtX0dljMLj9afp3vcBg7yusPfW9+JefSd/v9tGSs4k4Grw4Qu8LQ2irmuh+ZyeW9eZHcgghhBBCCPGnTIL5Y8hEeSb7trwbDFtNzW84XLt6vXwkRjIHzR1LsTy+6v6pt6QDOHBgAIBFi2pndrdLGYo5d5j+kU5+V+mZ/2Ovlz9chq5z4vJmTlzeTL5o8+LrY2zeNszLveMMjKYZGE3zyyf30hT2sn5FCxtWNbOqu77mGnu9rgXPuvfhWfc+nFwSe98LlPZuodT/CiodpbjjcYo7HgdNQ29Zhtl1Amb3OvSWJWi6++dnhEKEN55BeOMZqFKJ3J49pLe9Qmbbq+T29FIcGSY+Mkz80U2gaXi7uvGvXMVxK1eziXp6k1nGcgWaDzMJErD8rG9dx/rWdSilGM6MsH1iF7uiu9kV6yVTyrJtfAfbxncA0GP5+FDIgnQ/+1/7Vxat+At83jDgJgrWrl1Ha+siHnvst6RSSfZkNVa883Kyg68y2r+LV55+iD2vbubEsy7DrFvJ+JP9NKSLNGk67IrSt32MTHuQ7o3dRBrklnZCCCGEEEIcDgnmjyGx8j3mm7NusHl4k9+5x+iO2+O+aMmamv2lA+4QfHNRHUopBgfdofQdHbW97/nkXvc5fS0YVvCI2j9S7plveZt75mfjtYzqMPx0rsgL5dvavbJnnPFEnke29PPIln78XpO1ixs4fmkjxy9tpGXKrPi6rw599VlYq89ClQrYQzsp9b2M3f8yTnQQZ2Q3hZHdFLb8AkwvxqKV7kR67cehtyxFM0x3Yrzy7e64/M+ws1myO14js+0VMtu2URg6QL5vP/m+/fC739J54UfoX7yC3216kgvqTPwrV2G1Hv416ZqmsSjYxqJgG+d2n4mjHAZSQ+yK7WZndDevx3rZX8zx74kCHwn5CRTG2fbyP/AU9SyKLGNZZAlLwz00N7dw6aUfZPPmJ9iz53V29b5OJLKIdee+g94tvyEdH+fpX/2ASHMH6864BF94JaNP7icUy9NoGjSO5oj/7DV2Bkxa39FB94omdF2G4AshhBBCCHEwEswfQybKw+zDlXvMNx96hvR8rsToUBJwSMX2AtC+dDKYt5N5nGT5evlFQeLxGJlMGl03aG2tvV4+l9oDgLdu6RG1XSnF6FHumT+YoM/ijHXtnLGunULRZtveKFt3jfLi62MkMkWe3znK8zvdUQhtDf5qYH9cTwN+r/snpZketxe+6wTgavc6+/5XsPtepjS4HfLp6r3sCwCGB2PRCoz249wgv2UZmuXF8PsJrd9AaP0GAEqxKNldu8ju2kFm507WvPos/YtX8EqklTX/fjveQg49FMK3ZBn+ZcvwLV2Gb8lSjLqDD8OfStd0uus66K7r4Lzus3CUQ39qkF3RXrbGdnJScZBmQ+dcJ8a9g0+xqe8JABq89SyN9LB4cTermtax7+VdxONRnn8lxgkbLqTeyrL1sQeJjw3yxC/uoqljKSeecSmRxhWMPt2HNZAkbBqEC4rcE308/+he9OUNLF/fTn2j9NYLIYQQQggxnQTzx5BoeZh9IOUGxW/UMz+4P+beXz6cxM4V8AXqqG+ZvCd46UDl/vJBNMvgwAG3V76tbVHN/eUBckk3mPcdYTAfK5TI2g66Bs1HeI/5t4PHMli/spn1K5txHMWeoQTbyjPh7x5MMBzNMhwd4HdbBtA06GmrY1VXPau661nZHSEccBMTeqgJz3HnwHHnoJSDMzGAfeA17MHXsId2onJJ7IFt2APb3CfWNPTGLozW5Rity9HblqNHFmHWN1D3zlOpe+epAHSlU7ywfYBRy8Pus85n7e8fwEmlyLzyEplXXqr+HFZLqxvYL12Kb8lSPF3dGP43vs+9run01HXRU9cFPWdTzMcZ2v1D6vITfDwc4rGSj2eTo0TzMaIjMbaMuM9pNuqsTnYRSnl4+ZUX8Qf9bLjw46QHd7Nr66OMD+5h009up7V7JWtOfR+NZx1P4qVhCjvG8aGz0tBx9ifZv3OCrQGTtnVtLF/TitcnH1lCCCGEEEKABPPHlMps9p54BsUb35Zu/54JAMKhCdI5d4i9pk1eD14adIfYWx3uxG2TQ+xrr4kvFeKU8hOAhi+0+IjaPpjJA9Dm92K9wXX+c0XXNZZ3RFjeEeGyM5aSzZd4bf/kbe6Go1n2DSXZN5TkN8+5kwG2NwVY1V3Pqq56lndFaIn40DQdo6kbo6kbTjjfDe6jg25wf2AH9vBuVHoCZ7wPZ7yP4vbfuw3w+MvB/TL05sUYTYsxQk2cs6Sde/cMs33NBi664lKcgQFye3vJ9e4mt2cPxeEhiqMjFEdHSP7hmerPY7W04u3pqc6y7+3uwWxoOOQQfcsboXP1XzHa+5/kU3s518xy6XEXM+7roDfRR1+yn32JfqL5GK/W76fBG2RxrBnS8NSTT5IJFvGeegINB2Lk9+5jpG8XI327aFy0mLWnnk/71cdT2J8g+cIQVqJAj99Dj4L4liGeeaoPpz3E4uNb6VnWiCmT5gkhhBBCiD9hEswfI2zHJp53bxmnRRNuMN906NvS9e9xh+U7eTdIb59yvbxyVLVn3myvw7Zthofd6+qnB/OVXnlPoKM60/mbNZh2g/mOgPeIjp8Lfq/JhpXujPcA0WSenX0xdvbH2NkXY2A0zYHxDAfGMzz6wiDg3vd+SXsdy9rDLC0v4aAHo7ELo7ELjn8vAE5qAntkN/ZIL87IbuzRvVDIVofmV3mDrGxaTLj1EhJFD88OHOCMJYvxL1sG57nnstNpcnv3kNvTS25PL/n9+ylFJ6oBfur556qn00MhfN09eLq68XZ04OnoxNPejhGYnAdBN3y0Lv8YE/0PkB7fSnr4URoix/G+xZdXb12XLKTYnxxgf6Kf/kQ/0f0xIlEfgbSFs7PAjlCBsdVe2scKtI/bTAzt44lf/gtmJEL3iRs54eJz8GZ00i+PUNobI2IanBQycBJFBn+/j1//ejeenjDL17TSvawR05yfCSAhhBBCCCHeLhLMHyPi+QQKhaV0nFgMAKvl4D3z8WiWRCyHoWfJJkfQNI22xcdV99sTWVTBBkvHaA4wMNhHqVTC7w9QX99Yc64/dog9wEAmB0BncOEE89M11Hmr96kHSGWL7OqPsasvzs7+GPuHk6SyRV7pneCV3onqcc0RH0vaw/S0huhuDdHTVkd9qAFr2Tuxlr0TAOWUcCb6sYd3Y4/uwRnfhzMxCPk0DG7jXXkvD/VczO+Hoqz5/f+Hr6ENo7ELvaETvaED/+JOAmuPr/a628kk+f4+cvv3ke/vI79/P4UDg+4Q/e3byGzfVvOzGfX1eNs78XR24GnvxNvRQX37uXgDnUz0P0g2/hpDO0ZpXnIFnkA7dZ4Qxzet5vim1ZimTsN7g7y8YwdPP/0EyfEY7akG2jL1DEQm+ENrlI6xIh1jNsTj7Hn8IXY+9RCxRSHMJT20v7ObFclWmvq9+JLQ5bPo8lnkxvPs+20vL5R2UbckwpKVzXQvbZSh+EIIIYQQ4k+CfOs9RlSG2HcUA+A4aKaJET74Peb7yr3yTQ0TlJLQ2L4Er3+y97XY5/byW+11aLpGX99eAHp6ltQMw1bKIZd4HQBf3eT96d8MpRQDC7Bn/o2E/FZNz33JdugbSbHnQII9gwl6DyQYGs8wFs8xFs/x3GsjNcd2l4P7ytLe1IOneUm1jrKLONEB7LF9vGOsj2dKKWJWiOeaTuJdw0/hjPbWNsjyozd0YDR0ojd04mnowHfGaWjBC9E0DadYoDA4SH7/PvIDAxQODFIYHKAUjWLHYmRiMTLbX605pVEXxlrVBicblBhn6LV/IRTcQGTxezB8tdfkd7V28YGLP8zgYD9btmwmGp2gO97ECn8nkZUtpDZkib/+Gp6+ETwFh5aBFM7ANvbXv8bmZpN4RKMlGOH07HGclFyCH4vVQS+rgfRYnv19e9iS34W/PcTilU0sWdFEuP6N5wUQQgghhBBiIZJg/hhRmcm+veAGw2bzoe8x31fuGba0QUpA14qTavYX+9xb1lk9YRzHoa9vHwDd3Utq6uXT/Th2Ft3w4Q31HFHbE0WbdMlGAxb5j51gfjrT0KtD6znZLcvkSuwbSrB3KEnfSIq+kRQHxjOkskW274uyfV+0eryuabTU++hoDtLeFKS9KUBHcyOLlnYRPM7kfeMJ/rN3mGe6zuWdazcQjPfjRAfcJT4MxSzOyG6ckd3TGuZFj7Sih9vQI4sItLYRXHkKergNzR/GyWargX1hcJB8JcifmMBOJrCfT8CrOta7WzCWB0lltpB45EnsZ/N4Ai14Fy0ivbQHu64evbGZRU3NXHzxn7F37262bn2WTCbNyI4+/P4AG4+/lBUXrWbv61vZtfVRUsMDtMYcWmMF8l6DwcYJHm7czK/qnmVlrp11mSWszXQRNCzWhHysCUEyY9O/eYBfP7qXdAg6l9azYsUiunpkOL4QQgghhDh2SDB/jKj0zFfvMd988Ovli0Wb/r1RNPLkku718l0rTqzut5N5nGjOvSVdZ5ixsRFyuSyW5WHRoo6ac2XjOwDwhVfWTJ73ZvSlsgC0+T14jD+tYCvgM1mzpJE1SyYvXSiWbAbG0vQNp9hfDvD7RlJk86Xy7PlZtu4aqzlPY9jLoqYg/p4AWVPjJ5lWLl92PM0RH6aho+wSTnyoHNwP1gb5pXx1sr0ZLB96pA093IYv0kZgfRfaWevRQ804ho/S6BiF4WGKI8Pkhw9QemkEdZyD3uFHu8RL4dlhsk/sIPZY7Wl1vx+ruZlTm5oZaYjQq2yy2QzPPfcML7+8leOOO4HzrvgMueQEr7/wOPt3bIF8nqUHYOmQjb+9E7urntc74zyd3UNj1MPaVDdrsp3UmSZrQgZrQj7yjsPA7iwvb9vJr4s5ivU5AosUTV1+Fi2qp8nfSJO/gbCnDv0I379CCCGEEELMBQnmjxETWbcHN5JygEMH8/17opRKDuHAKKrkUN/SSah+8vr6Ur87xN5oDaL7TPa/sheArq4e9Cm9/UopsvGdAAQiq4+47XuSbjC/pE6GRANYpsGSRWGWLApXy5RSxFIFBsfTHBirTKyXZnAsTSJTZCKRZyKRxxxL0vTONvYVCtz8n1spxfM0hX20NvhpbQjQWt9Oa8MyWhf7aan349EVKjmKEx92l0R5HR9CpSagmMMZ24cztm9mQzUNLdiIWdeMFWom1N6GXnc8dsBPLLGFAkNYGxvxntKOd38d2Z1jFMfGsBMJnGyWfF8f9PURBk7UNMbaWhjo7iIPvPji87z0wnMsKpZY4gnQs3gjY06awWgfE9EhsoP9MNhPk8fHiStOpHvNBryti5jIRMn1R7EOlGic8ODFZFnAw7KAB1sFGCmUGNpbYmhHic2MkQrvIFM3QS4cI1Bv0OhvcBefuzT56mn0NdLgjWDoMnu+EEIIIYSYPySYP0aMl4fZh5JFAKyWgwfze8q9ukH/MPkkdK1cX7O/uL98vXx3BKUU+/a511739CyprZcdppQfB83AF15+xG2vBPNLJZg/KE3TaKjz0lDn5fgltRMQprLFamA/HM2yM10kEzKpX9vI2Oah6jX52/ZGZ5w35LdoCvtoivhoCi+jKbyGphU+GsM+mkIGwWIMlRjBSQy5QX5yDJUcw0mNgV1CpcaxU+PAjprzBgCzqY5sTxOOlSe7PI93SZAm43hMbwt2UcfO2pTSeUrRGMWxMQLjYyx67XVGfBZDnR2kwnUc8FgcoEjdvl5ah4bpGh2nzYTxeotovYciOfZu+wN7t/0BS7doa+qio2sVbccdhxlpQMsZFAdTFPbHMFIl2r0W7V4LgJwdZKjQwNBIiaG+IimtQDo0wet1E6TrdpMLxlC6cn//aNR5QtR7w0S8ERq8ESLeCPXeMPXldcQbwW8e2d0chBBCCCGEeLMkmD9GjJd75r2JDHDwe8w7jmLf6+No5Cmk9gPQtXJyiL2TK1Eadm9JZ3WHGR4+QDqdwrI8dHXVXhOfjrq3SPNHVlVvSfZmZUo2Q9kCIMH8kQr5LVZ21bOyqx6AXMnmn17dTww4/wOrOdkXYCSaZSSWcdflJZMvkcoWSWWL7BtOznpuj6m7gX2knca6JdSHvNS3e6kPmjRYBSIkCZRikJqoBvlOcgxSY3jHk1ixNNmuRgotdeSNNHnnFbz7E/gGo+glBxMwvUECzQ1oixvRg110WnXYJYPRRIHeZJbBQpFkJEwyEmbvyuU0j03QMjBI+0iSjN8gGrGIhU2KZpH+0T30j+5Bf+4hwqkSkWSRBvx46yJYDe1YdV2YniY0FcRn6Czxe1ji9wCQLNmMFiKMjnczeqBEQpUohtKkAuOkg1GywRj7vQOgDRz0tfAannJw7y4Rb5iIJ0ydJ0TYU0fYE6LOU4ff9NVMJCmEEEIIIcSbJcH8MUApVZ0AT5+Iu/eYb2mdte5Qf5xctkTQO4BSDg1t3USa2qv7i3tioMBo8mOEvfS+sguAxYuXYRiTbxelFJlyMB9sOOGI217plW/xeQhZ8nZ8K/hMgw8tbeNfdwzwUizN2mV1nNndPqNeJldkLJ5jIpFnPJFzl3iu+jieKlAoOQxNZBiayBz0+TQNwsF66kNtNIS81Ec81Hd4aPYVaDQz1OtZmswJkrmdFPQ0+bYI+ZYw3rEUvsEJ9HwaJ5+GiX7sKedtLi9ZLPYbrewz20jrPoZbmxlubSakKzosjeWAP+8wkYoxnIsx4WQpGhCLWMQiFvuUIpSZoO7ACOHXn8efc9A0HauuHU9DD576xZh1bdSZBnWmwbKAG9znbIfRQojRRDNj4yWiRRvdVPjCNkZDkUJDlmQwRkybIF6Iky3lyNsFhjOjDGdGD/kambpJnVUO8L0h6qxyoO+tI+ypc/d53TKfIYG/EEIIIYSYSaKnY0CykCZvF7CKDiqVBg7eM//6a26QEfD0Y+dh6drTavYXet2kgGdZA8VisTrEfvnylTX18qm92MUEmu7FH67d92a8HneDxGXSK/+WWhYOcPaiBh4divLTvcO0+D20T7vtX8Bn0eOz6Gmrm/UcxZJDNOkG+GOJHLFknliqQCyVLy8F4qkCjlLEy4/3MXsPPwSBDaxuS3Deir20hRLkW+vItoSJ5zuwc20EUQSdFH47hVVKYRRSqGwcfybOanuAVfYAY3qYfUYrg3oTKcdgZx52AnVOji5vipVWnJCTJYHFsPIzUtBIliAVNEkFTQ4AJjr1WEQKJULpXZivv4jKlbDC7VjhTqxIJ1bdInyGSbffQ3f5rWkrRbxkM16wmRi0mdgXJFdqpN3pYrWWJmwWCPoK+P1FDH+enMchZdokzBJxvUhMzzOu5UiYBUqUiOZjRPMxDvorKzM1g6AVJOQJEjQDBD1BQlaQkBVwy8tL0BMgaLr1PLolCQAhhBBCiGOcBPPHgNH0OAAdBfd6XT0QxAgEZ9SzbYfd20cwtDh2fhRdN+g57h2T+xN57LEMaGAtrWdX7y6KxSJ1dRFaWxfVnCs19jzg9spr+pG9jZRSbI+5yYfV9TPbK/4453c1MZjJsyuR4Ye7BrluTTcRz+G/Vpapu5PmNQQOWsdxFMlMgViqQLQS5E8L+pOZIslMgZKt2DEcZsfwOpY3xThrWR9LGhM0+AbAN8DusXqe7Wtn5+gyHKWhaRD0WQT9Jo1eRZO3QKOVp97Is1LLUCymiRWKTJQ0knqA7XoP2+kh4ORY5ERZ5EywQk+Qd2CkZDJuu0sJhzHyjHkAD/gbdRp0nXptmIgxjld7DTvrw6EFTW9B15vQzUYMw0ejZdI4ZQRJyVFESzbRYoRYyeZAwSaesbEdh0AhTqgQJViI0VrIECzGCBQS6Djg9YLfh+P3UPJaFLwGeY9GxoK06ZAsJwDSRomCpZH35ElYUUYtjaKpofRDB+qWbtYG+laAgBUgYPoJWH78po+AObkdMP34TT8+0yuz+gshhBBCLBASzB8DqsF8zu15PVivfF/vBLlsibBvPzjQsewEvP7JILqwwz2P2VGH5jPZseNVAI477viaXr5SMUkm9hoAoZZTjrjdg5k8iWIJS9dYHpae+bearml8ZPkivr2tj/F8ke/uGOBTx3URtN66Wdl1XSMS8hIJeVnM7D38pqlTXx9gYChONJEnkS6QzBRIZIrsyvbTqL9Mo2eQ5c0xljfHSOS8PN/fxkuDLUSz7gR/w9WzWeUlNHl+zabZl6bFn6LBmyWj++jV2+mlHRSYmknI0GjUi6zS8jiFOJlcing+R6LokFU6WdvDIEAJTIo0GFkajDHqeYWIZmOUgFIY9DaU5i7obZi6lxaPScu0JEmqZBMr1RErthMr2ewv2aRKDo5y8BdT5cA+TjAVIxiN4y+ME3TyNB3m793xmJQ8JiWPQcHSyFmQMyFj2ORMKHh0ClbCTQRYGqOWRt7SKZSTAcXy2pmWFNDQyoF+Jej3Twn43eDfb7n7faYPn+HDZ3rxGT78phev4ZVZ/4UQQgghjhIJ5o8Bo+kJAFrSbo+aZ9GiWevteGUYKGKxBwUsW7exuk+VHAqvu+fxHtfMgQMDxGJRTNNk+fJVNedJjT4HOHiD3Xj8bUfc7pcm3In2VkUCWLr0Br4dAqbBtas7+c72fkZzBe7a0c8nVnUQ8VhHtR2aphH0WXhNg0WNU3v6O4HTKOVjpMaeIzW+lbAvy7kr9nPuiv3gaadgrSKplpLMmaRz7oR96WyJdLY4uZ0L8FqiHtsu0eDJ0uRL0+RL4zVsSpSI2RCzoWAHiBWaiOb9xPJ+CjZEtCgt+hgN2hghLQ6aw6htMWpP/o5M3SRomdQZSSJmnEbtVfx2Dt3xg9YKWjNKawa9GbQ6QqZByDTo8k2eQylFynZIlOpIllpJlBzGbJs9JYecozBVgYBKEXBSBOw0/lIKfymJv5DEk09BsQS2e+tJvVDCUyjhwb1zwJGy9cnAvmBSXk+WVbdNjXFLZ2jK9uRxU+obGobHg9/01Qb7pg+f4a795fVkEsA3Zb+bEPAaHiy5VEAIIYQQ4pAkmD8GjGbcHvWGuHtbOk97x4w6qUSePTvH8Op7UU6RcGMbi5asqe4v9EZRBRs95MFoD/HirzcBsHLlcXg8nmo9p5QlOfoHAOpaTz/iNjtK8eK4ewu89U3hN6gt/hgNXotrV3fy3R39jGQLfGd7P3+5qpNWv+eNDz5KTG899Z3vJdL+bjKxbaQnXiKX3AOFA3gKB2jiMTpC3fgXrcZfvxrL2zjreQpFuxzcl0hmCoyPjxEdHyKTGKWQjeIxbFr9KVr9biLJVgYZ20+i0Mmu3FISeQs/aeq1cRq0ccJ6jICWoeSUiOdLxIH+8nNlVISUCpNVfko4OMTRtRQNukObadFiemm0/ISNIAE9iKGZ1Un23NEFU9rtOCRLDmm7npTtkLYdxksOKdshYzsoHIJ6iqCeIkCaAGn8pPA7afxOGp+TxrBLKBscG3ddAuVoKEfHcUCVwLEVylbguLfcMxyFkVf48m/da6mAkuEmBkqGRqkc5Jeq25AzNJKz7p88zjZ08JhoHi+6x4Pu9WJ4fBheH6bXh8fjw1sO/j2GVU0CuNue6mPvtMembkqSQAghhBDHBAnmjwGVYfaBqDuZnKd95szl214YRCmboHc3OLDy5HdXv9AqR5F/ecQ99rhmhoYHGR0dxjAMjj9+fc15EqObUU4ey9eKP3LcEbd5RzxNomjjN3RWR/6YvkVxOFr9Hq5b082/7RxgLFfkW9v282dL2jipafah8XNF002CjScSbDwRu5gkHX2VzMTLFLIHyKf2k0/tJzb4G0xfM/665fjqluINLa7eGtFjGTRaBo2V/NCSRsAdWWLbNmNjIwwNDTI0NMjY2AjYNnVmijozRWf5bRgMhQnV9eD1r8P01eEonUx8jGzsAMXEEE56GK2YJKBlCGi1s/w7aGRUiL58Ha/lQ2RUiLQKkVFBfLqXNtOkxTRoNQxaTXdpMHQ8uk6TR591mL1SioyjSJfCpMuBftZxiNoOGRQZ5VDQFZaRJ6BnCOopQnoKv57Fp2Xw69nyksGn5dA1hXJwFxs30LcntyuPnall0+tWyqaU45RfQ8CywbIVbmj/9qgkDWyjHPzrUDI0coZG2tCwDcpJAY2SPqWeoaFMHUzTXSwTzbIwvR6UYYJpYVgedI+nvPZieryYHjeJYFo+rHIywdItPLqFx7Dcx+URBR7DLZdLDoQQQgjxdpJg/hgwmp4ApbDG3J7u6T3zxYLNqy8cwKvvASeNPxhhyZp3VvcXdkdxUgU0n4m1op7nHv4vAFatWkMgMBlol/IxksNPARBpP+eP6t16cigGwCktEUwZYn9UNHgtPnVcFz/ePcSeZJZ7eod4PZHhou5mAub8CzoMq45w6+mEW0+nVIiRje8kG99BLrmPUm6MZG6M5OhmQMMT6HAD+2A3nmAnhjkzQWQYBm1t7bS1tXPSSe/Atm2i0QnGxkYYGxtmdHSEZDJBOuUuU3m9PhoaGmlYfAqRSD1+rxdVzJJLjJOYGCI+doD4+AGK+SwhLUnImDlFvWH5MIONGP4G8NYzYoUZ0EOU8GOVfHiLCm/RIWArgrYipCCMhkfTCBoaQePgfye2UmRsh4ytyDpub37Wdog6ilxJkXMcsraioBzARtNKGBQx9AKWlsej5fAaeTxmHp+Wxa/n8GtZvHoRj1bCwnbXmo2HErP96Ss1JcB3pgX8Uxaml02r51QWNbmN22xwQCvnB45W0uBgHA0cHXK6Rlp3L1mwDXB0zX2sg2NoOIaOqlkMMMrJBMMA00ArJxY0w0Q3TTTLRDMtdNPCMC10y4NhuWvTtNAtL6blcRePF9PyYXq8WKYXy3IX0/JiGaZMaCiEEEIcwySYX+CUUoxmxgnkHLRcHjQNq7X2OvZXtgyQy2Ro8OwAYO3GCzEtd4i1KtrkXhgCwHtCC9t3bSMWi+L1+li37uSa54n2P4RSJbyhxX9Ur/yeZJbeZBYd2NgaOeLziDcvZJlcu7qT3w1M8PsDEzw/lmB7LM2FXU1saA5jzNPhx6annrqWU6lrORXHzpFN7Caf3EMutZdSfoJCZoBCZmBK/QY8wU48gU68gQ4sf2u1977CMAyam1tobm4Bjgcgl8sxPj7CxMQE0eg40eg4iUScfD5X7dGfyrIswuF6wp0nsnzNWXgtE1XMUswkyKcmSMXGSEZHyKZi2MUcdmwQYrXn0ABb01GhCEa4EaO+ASPciFbXgB2qR3nCeJUPo2jgJIsUU3mcdBGVKUK2hFawMTStPIT/0L9HWylyjiJnu9fp5xynup13FAWlSNnKfew45JSiCJSqi6IE2FOia10ruQslTK2IpZWqgb+llfAYNpY5mQiwNLuaIDA1GxMbU3Nqti3Nxqs51ccmNkY5iq9JBCgmkwNTkgmomXUcB0oK7PLiKK0maTD1OBzQqmuF5oBeXip0BboNpl1JJBz9hAJMvjazscsJB0d374DglBdVXXQcQwNDR+lusgHdALO8NnQwDDRDB8NEM4zy4iYiNNNEN0x000A3KgkI001AmCZGZwdmezumbmJqBoZuYuoGhmZgaDq6ZmDolceSdBBCCCHeLAnmF7hMKUu2mGPpuPt1zrOoHd2avB43nyux9Zk+AsYraOQI1bew7PjJa92zW4dQmSJ6yEOqBV749bMAnHzyqfh8vmq91NhzZBM7AZ3GrouPuFfeVooH9rv3uj+lJUK99+hOxCbA0DTO72piZSTAf+0bYSRb4Gd7R3j0QJRzOxpZ1xia1xMS6oaPYMPxBBvcALxUiJNL7iWf2kM+PUApP06pEKVUiJKJvlI9zvBEsHytePytWL5WLF8LprcR3ZicO8Dn89HZ2UNnZ0+1rFQqEYtFiUbHicUmSCTixOMx0ukUxWKR8fFRxsdHZ7ZT1wkGWwgtXUpTwJ3kUVcl7HyaQjZBIRUjm5wgm4ziODaZZJRMMgoDM04FgKbr+AJh/MEwvlAYfyiCvy2Mzx/Bb4Xw4MejPBglEy2vUNkSTraEypVwskUoOhiH0cs/laMUBUeRr6zLQb67dsuLjqI4fW1oOJqGMnTyujv0XWmgdM0NMHHXJaUoKUXRcRMEBds9R6HkYCtFsaQolSf903AwcarBvanZ5QTAlKBfszGNSgLAqUkOVLanJg0MTVWTCQYORrmegTOlzD2/gYOBjaEcdOVgKBu9PCigJoGg3KRBCSgpzU0cALbScMqJBFV+rNSUZELlXOXkA5V1eTRCJamglbd1R7kJBluhKzCcma+focCwcZ90DpINeQNu+2ALtvnG/15ogI6GgYah6eW1ho4+ZT1z0dGrCQFDM9Ara10vJxCMctLAdJMIuo6hmRiGWS03dRNdL9eprs3J7XLiQdd0dE2bfA5NR0er7jN0Ha3czsm67vFa+TghhBDirTTvgvndu3fz1a9+la1btxIMBrn88sv5m7/5m5pJ2GajlOKuu+7iRz/6ERMTE6xZs4abbrqJ9evXH52Gz5HxbBSAxVH3y5Jv+Yqa/U/9bjd2foCg1QvAKe/9CLrhDqku9icobB9zK25o4rEnHsFxHLq6elixYnX1HLlkL9GBhwGo73wPlr/liNv72IEoA5k8PkPnPZ2zT2Imjo4ldX4+vbaHp0diPHogyni+yL17hnmgb5R3NIc5qbGO9oB33k8WZnoihJpOItR0EuBO0pjPDFLIDJBPD1DMHMAupbALcexCnFxiV83xuhnE9DZgeRsxPQ2Y3kZMTz2Gpw7DrMM0zSk9+JNs2yaZjBOPx0kkYiQScVKpJKlUkkwmjeM4JJNxksn4QVruwfB14m9YScDrxTIMDE2hOSWcYpZSLkMhl6SYSVLMJlCOTTYVI5uKMeVefbPSdB2vP4TXF8QbCOENB/H66vCbdfjMEB7dh6U8mI6FYetoJQ2tCBQVqmCj8iUoKXRNw2do+A79dLNSSlFUTAb55YRA0ZkM/N1gHkpOea3cALiEjmbq4NXRTR3NY6CbBobHwLR0DNMt1w0dzdDQdA00DXRQmvvY0cBB4WiaGxMr5Y4lcNzRCbajsG2F7Tg4CgxTJ5stUiw55X0OpfLanla/VDnOscG2QbPdGQZxJxTQlZswMLRyMkBzEwGVBIGpuckBs5oscBMJleSBgcLAQa8kFFAYmoNeTjTomiqXV+ooDOUerymFpmzQHJTmoHATIUopVDlLoMqvD1SSC+W8gdImEwyUkwxMGQHB1KSDhlapWE4+uEkHt5LmwHiDSUg52CWwtXICR3MTPTPeL4CNwq5mR5irwQ5vG02BzuTibmvl7ZlrrZzc0HFvNaqjYeqG+xrjJjh0za2jaRpGZXtq0oGpCQg3yaChoes6WjkZok9JNriPa7criQmNyf1T61bWxrRtXZ9ax5iso09u6+XEi1Ze6+ho5QSMrpfPgYGmu/U1XXf/1nHX8/3fJyGEeLvNq2A+Ho9zzTXXsGTJEm6//XaGh4f52te+Ri6X4ytf+cohj73rrrv4p3/6J77whS+wevVq7r77bq699lp+8Ytf0N3dfZR+gqPPa3jQ0OiZcL/1+Jcvr+7bs2uMnS/tImxtBmD5iWfQ1uNOBlYaz5B+bJ/7eFmAJ19+lFQqSShUxxlnnFv9BzIb38nYnntBOQTq11LXcuQz2L84nuS3A+5kfZf0tFBnzau3358kU9c4a1EDp7ZEeGYkxuaROLFCiceHYjw+FKPeY7K2IcTysJ/FIf+8vLZ+Ot304w8vxx+e/FuwSxmKuVGK2RGKuZHyegzHzuKU0hRKaQrp/oOcL4hhhTGtOgxPGMOqwzCD6GYAnxkg2FZHV2cbuuGv/t04jkMmkyaVSpJOp6pBfjqdIpvNkM1mKBQK2LZd3TeTBoQhEIZAJ+AO67cMA0PX0CgH/nYRp5THKeaxC1mcUgFNOWTyRTK5CbToqDubHYrD6R+1vD48Xj8eTxC/tw6fFcJrBvHofizNg6V5MJSFoQwMx0B3dDRHQytplWjcDeo0DY8GHv2t+bLtlBR20aakSpNJgHJCwB06P3XtBu72tH2aUigdd+SJqaHpOpqpoVsGls/CQYGpu8PGfRqGaWCYbvLAMCprDbOcSDCnlVfq6UY5yKgkGNBAcxMKTjl5UU0SVBIE5cdOOXHgqErCQJUvB1DVpELBqdRzptWfcvy0x7aabV95pkPHRpXX1W3loJVvjaDNsg3uCAVN2ShHoWsOOgq9nIjQygmHVdvcsqn7Nc1237+aAs1G091MgF5OQGiVrIDmliutUndyu7JWKNCVO/KjnFFwNMrrcrnmJjAczV1UuY77GGzc5I9d89hNAtnVxBCTiaFZt8v1DhFcus/lLuU/NyYzFoeZuZhebW6v8jjqNKWqiRA3pFfVJMlk2WTiRJvlscbMBbRp+7RDPqam/OBrcBMxKMoJkdnqup8Xk8+ho2mUEzZa9fFkPfc/fXq5NvlYr9apLXfPXTnv5L5KkmdyW5tM6uAmTLWpdarJHfdzrvI8hmEwHPCRyxZBlY+rHjOZWEKrbU/luahuT+6v1K0mmgA0w/1d6Ub5BSx/3k5fa5TPMb3O1O1pj2v+hmvLq69+Td1pjyvnnrVs8rEkosRbRVOV9Pw88J3vfIc777yTTZs2UV9fD8A999zDLbfcwqZNm2hrm/2e5vl8nne961187GMf43Of+xwAhUKBCy+8kLPPPpv//b//9xG3ybYdJibSR3z82800dXIqxp7rvoAqFFj8//4d3o5OBvtiPPifjxLgCXQtT1P7Es798GcwTIvCvhiZJ/tQRZvhSIYX86+Tz+cIBIJccMFl1NWFsUsZ4kOPkSrfhs4XXknL0g+j6W8+AC86Do8eiPK7Qfc+9qe2RLh8cYt8kM1DjlLsiKd5fjTBrkSGolP78dDq89Ae8NLm99BaXiIe85DD8k1Tp6EhSDSaplSaZSzwHHLsHKV8lGJ+glI+Sik/UR6iH8cuJt3Z2Q6bhm763UDf8KEZPnTD6y66t2ZbM7woLApFh3y+RC5fJJsrks3lyWZz5HJ58vlcdSkUCm/Jz2tomhsUVS8wd4M4ZRfLU9U7aNNmqNMqdcu9vjXjyVG1ZeVx4jo6lubBY/rwWkE8RgCP4cMyfFi6F1O33KSAZmFoJjomBga6MtCVjqZ0dEdz12ruPicqwbeDu7ZrytwkgTOtzJlSZk8rs5Uqjxyg+kWTKUE/WnmUgdsVW+6JLD/WdTQD98uxrkN5RIJmaO4IBV2bMlLBTTBgaOiVcs09Vi8vmlZez9hm1v2VstnOMSW6qSYenHLywFHuaAhV3Z5WVn5cOUZVjp9SVjmnmnb81HpqRtnU51DlyxlmntOxHRxVnjzBsVHKRjmO+3dRvgZClWdiVEq5SY8pZZN/S1P/LsrnKf8tqeocE8otL0/IoNTk5AxKVYc1VEdQoLnHqurMj6q6VkwmNbQpj6v7q5Grm8ioJkGgXJfJelTKmVKnkhwpj8gob6vKdvn1ntw3uXaml5cfO1ProNUc5+6T7wTizXNHqpQfQ80kqVoliT1LEsctm3lsZbvyrWbG+Wecz31CXU2rUz2fqimvtG/qt6apiaRDlk1dq6n7tPLzaDPrVevW7mNK7en13fOX92pU/+C1accd7HxTa08eo82oV/sXX97WtCmvYW1ypPZc09pTSZyoyu928t+mqW3RNJ3WcBvvPPcTOGp+X/rU2BjEOIzLIudV1+hjjz3Gxo0bq4E8wEUXXcTNN9/Mk08+yRVXXDHrcVu2bCGVSnHRRRdVyzweD+effz6/+c1v3u5mzznzlT2oQgGzsYlCsIFnH36W3pefIqj1ommKSFMHZ7zvE9h9KVI7R4kOjTJOkn5rgnjCvd92Y0MDZ77rVPTifsb27iIbfw3luPetDzW/k4bO8w87kHeUIlOyGcoW6E1k2DqWJF50r+nf2FrPJT3NEsjPU7qmsaY+xJr6EAXb4fVEhtdiafamsozliozkCozkZgaWQdMg4jGJeEyCpoHfNAiYOj7DoM5r0lSyKWTyaAosXcPSdXetaZh6OasPR/19oRs+PIF2PIGZt3NUSuGUMtjFBHYxSamYxC64j51SBruUdtd2BmXnAbe+U8rMfKI3agcQBIIaEAAtZKHpUxbNAndQNcoB26Hcs0q1t9W23aXkKEolh5LtUCraFG27HHO4Q6iV0qrDpRUaSumgvOWyKfvK/5BP1iv/ez7tHE75H8+paZ+SgoJSpFW551QpUBmw05PjutEqJ6P8DJNPUC2nnBwo9xZRGVpcHh489b9KT1FNmTtEt3rdMuXJ1zDK5eX95f8MzUCb8s++G2drtWVUru0Ga9qXkYN/WZn5dWa2L0M1Z3OUm1ixK/vtaccf/t+KoyaH1leDK1T1Na08tmfdx8xja/bNUrf8vIWAh3f8+Unyef8WmZ4YVVNfV1X+zKokPtTkazM1cVJTt5IEmVI2dXv28trzzFY2dduZ1jZV/jtXuMeiJt9bbjsdHMfBwUEpG8dx3IsvlJtgccrJkUpSpbLtlO/UoZRTfl4blJsYUco9H+V9uGevJl/c39OUREqlbMpjN6XHlHqTn1OTl6+UEyGV+qqSHJnyOahNr6mqR1CzNb0utc+h1R5TTdpUamlTj6F6Lreksl2bsGG27cpjbcqx087BlLqVfZX9NcdMOYe7/635XFCaVtOO2o9G+ew5+tS09TzkxPDvfIG1K09+47oLwLwK5nt7e/ngBz9YUxYOh2lpaaG3t/eQxwEsW7aspnz58uV8//vfJ5fL1Uzm9maZ5vzN3Iz19/PjWJT0J/8f9zNrxyvQAOrsjcC7qvVe3v06AKoBaPACXqAZhftldQjFtl73+nlFD9CDppnoVgAtakG0v/ZDe+r/p+ywlSJdtCu3nK4KWyaXLGlhQ3P4rfvhxdvKNHVObAlzYov7mqWKJfYncwxn8wxl8gxnCozmChQdRbpkky7ZDGbyf9Rzup2S7vBBvTx0T9fcHuXKkEKoSdTOCKamfj+YkZ3WaoOgg51nJl95mTZfhIb7KWpCtbeusmbyi6Oq9m5Pfmmc/GI5LXg9UpULccH9814ADv4TH/rVqMb88870RqlZS/+oUy4QGtBQHOOkXB5/3cxbRYo3r9JDczg9NUK8VSrJFqYkiCrJokpiprJP13Xq6nwkEll38tJKok/Vfl+sJqIchV2eI8Nx3HEoSjnVfU4lKaLKY1TKdScTRaqcmKkkkJzyKKlKIqacJMJxk0fTjp1MRk7ud5RTbmf5UqRqWTk55EypV/23nCkJo6nP744ocp9nco2alhxStXWqbVcOGqrcNjXldznlXOWfoZqeqfyc1O5T5Reg3PopdSrtYFr9yd8XtbVrymvTSJMv8vREVbVMMTkySM1y3mnRRrXdla8Fld9RpT+gcqw29eeb/q9v7VnrrDDHrT7pmLk19rwK5hOJBOHwzGAvEokQj8cPeZzH48Hrrf0GGw6HUUoRj8ePOJjXdY2GhuARHXs0bNm8jz6z8+05uQIKAMUjOrzJ72FZfZCT2iKc3FaPJV9AFrQGoHvarQSVUmSKNuO5AtFsgWiuSLpYIl20SRdKZEo2qUKJXMmh6DgUbIei7a4L04bwA9UhzfM4WjtMGjD/5xdY0P5UOlwW8M8Z94YJNniI1M3ff0MXonDYP9dNEOKQAj65U5EQR8u8CubnI8dRJBJvftjs0fLOd51F6cnHGEmn0HUDy2Ph9XnRyhOM6LoGho5hGRimhcfrwTTM8rBH91uirlsYph/d8FSHQ864BuZg5ZXH5S5OXYOQaRCyTIwpE1+lEtm3/ocX80YdUOex6PHM/AfcMHTCYT+JRBbbnhyzoVTltmSTwzSnXm9c3Z5WBlPCfDU9h1vbwa2m/18xoz7V8oWcPJgb7u96MqNfu2PyxarNlaspr9G04XhqSoZ+ygs5Pdc+8zkO57Wbcj5VW64bOj6vRS5XwJklyXSw8xz0/AerP/X9N7X9NW2a0stS836f0sOgph+nph1b+9Qze1gO1nLe8HepprS75nVUM1/XxS0dOCWTaHT+zjuzkBzss1SI+ULeo2K+W0jv0XDYv/CumQ+HwySTM2d1jsfjRCKRWY6YPK5QKJDP52t65xOJBJqmHfLYwzHfJu2a7oKLLph3k4spx712V4gK23ZmvEc1wINGdTIwIebAfJ6kcaGT3+dbb7bPUiHmE3mPivnuWHqPzqtxz8uWLZtxbXwymWR0dHTG9fDTjwPYs2dPTXlvby8dHR1/1PXyQgghhBBCCCHEfDOvgvmzzz6bp556ikQiUS176KGH0HWdM84446DHnXzyyYRCIR588MFqWbFY5Ne//jVnn33229pmIYQQQgghhBDiaJtXw+yvuuoqfvjDH3LDDTdw3XXXMTw8zNe//nWuuuqqmnvMX3PNNQwODlZvO+f1ernuuuu4/fbbaWxsZNWqVfz4xz8mFovx3/7bf5urH0cIIYQQQgghhHhbzKtgPhKJ8P3vf5+//du/5YYbbiAYDPKhD32IG2+8saae4zjYtl1T9slPfhKlFN/97neZmJhgzZo1/Ou//ivd3d1H80cQQgghhBBCCCHedpo62PS2AnAnSJiYmL8z8crETWK+k/eomO/kPSoWAnmfivlO3qNivltI79HGxuBhzWY/r66ZF0IIIYQQQgghxBuTYF4IIYQQQgghhFhgJJgXQgghhBBCCCEWGAnmhRBCCCGEEEKIBUaCeSGEEEIIIYQQYoGRYF4IIYQQQgghhFhgJJgXQgghhBBCCCEWGAnmhRBCCCGEEEKIBUaCeSGEEEIIIYQQYoGRYF4IIYQQQgghhFhgJJgXQgghhBBCCCEWGAnmhRBCCCGEEEKIBUaCeSGEEEIIIYQQYoGRYF4IIYQQQgghhFhgJJgXQgghhBBCCCEWGAnmhRBCCCGEEEKIBUaCeSGEEEIIIYQQYoGRYF4IIYQQQgghhFhgJJgXQgghhBBCCCEWGE0ppea6EfOZUgrHmd+/IsPQsW1nrpshxEHJe1TMd/IeFQuBvE/FfCfvUTHfLZT3qK5raJr2hvUkmBdCCCGEEEIIIRYYGWYvhBBCCCGEEEIsMBLMCyGEEEIIIYQQC4wE80IIIYQQQgghxAIjwbwQQgghhBBCCLHASDAvhBBCCCGEEEIsMBLMCyGEEEIIIYQQC4wE80IIIYQQQgghxAIjwbwQQgghhBBCCLHASDAvhBBCCCGEEEIsMBLMCyGEEEIIIYQQC4wE80IIIYQQQgghxAIjwbwQQgghhBBCCLHASDAvhBBCCCGEEEIsMBLML1C7d+/mE5/4BOvXr+eMM87g61//OoVCYa6bJQQADz74IP/9v/93zj77bNavX8/ll1/Ovffei1JqrpsmxKzS6TRnn302q1ev5uWXX57r5ghR4+c//zkf+MAHWLduHaeddhp/9Vd/RS6Xm+tmCQHAI488woc//GE2bNjAmWeeyV//9V/T19c3180Sf6L27dvHV77yFS6//HLWrl3LpZdeOmu9n/zkJ1xwwQWsW7eO97///WzatOkot/StYc51A8SbF4/Hueaaa1iyZAm33347w8PDfO1rXyOXy/GVr3xlrpsnBN/73vfo7Ozki1/8Ig0NDTz11FN8+ctfZmhoiE9/+tNz3TwhZvjWt76Fbdtz3QwhZvj2t7/NXXfdxfXXX8/69euJRqM8/fTT8n4V88LmzZv59Kc/zQc+8AFuvPFGYrEYt912G9deey333XcfPp9vrpso/sTs2rWLRx99lJNOOgnHcWbtSPrVr37Fl7/8Za6//npOP/10HnjgAT796U9z9913s379+qPf6D+CpqSrbMH5zne+w5133smmTZuor68H4J577uGWW25h06ZNtLW1zW0DxZ+8iYkJGhsba8q+/OUv88ADD/Dss8+i6zIoSMwfu3fv5kMf+hD/83/+T26++Wbuvfde1q1bN9fNEoLe3l4uu+wyvvWtb3HOOefMdXOEmOErX/kKTz75JL/97W/RNA2AZ555hmuuuYa7776bU045ZY5bKP7UOI5T/Z75xS9+kVdeeYX777+/ps4FF1zACSecwDe+8Y1q2VVXXUVdXR133XXXUW3vH0u+US9Ajz32GBs3bqwG8gAXXXQRjuPw5JNPzl3DhCibHsgDrFmzhlQqRSaTmYMWCXFwX/3qV7nqqqtYunTpXDdFiBo/+9nP6OrqkkBezFulUolgMFgN5AHq6uoA5NI6MSfeqMOor6+PvXv3ctFFF9WUX3zxxTz99NML7rJlCeYXoN7eXpYtW1ZTFg6HaWlpobe3d45aJcShPf/887S1tREKhea6KUJUPfTQQ+zcuZMbbrhhrpsixAwvvvgiq1at4lvf+hYbN27khBNO4KqrruLFF1+c66YJAcAVV1zB7t27ufvuu0kmk/T19fEP//APrF27lpNPPnmumyfEDJVYaXoCf/ny5RSLxQU334ME8wtQIpEgHA7PKI9EIsTj8TlokRCH9txzz/HAAw9w7bXXznVThKjKZrN87Wtf48Ybb5Qkk5iXRkdHeeKJJ/jFL37BzTffzB133IGmaVx77bWMj4/PdfOE4JRTTuGb3/wm3/jGNzjllFN473vfy/j4OHfddReGYcx184SYoRIrTY+lKtsLLZaSYF4I8bYaGhrixhtv5LTTTuPjH//4XDdHiKpvf/vbNDU18cEPfnCumyLErJRSZDIZbrvtNi688ELOOeccvv3tb6OU4t///d/nunlCsGXLFv7H//gfXHnllXz/+9/ntttuw3EcPvWpT8kdF4Q4CmQ2+wUoHA6TTCZnlMfjcSKRyBy0SIjZJRIJPvnJT1JfX8/tt98uE9+JeWNgYIDvfve73HHHHdXP08p8DplMhnQ6TTAYnMsmCkE4HKa+vp7jjjuuWlZfX8/atWt5/fXX57BlQri++tWvcvrpp/PFL36xWrZ+/Xre/e5384tf/IKPfOQjc9g6IWaqxErJZJKWlpZqeSKRqNm/UEgwvwAtW7ZsxrXxyWSS0dHRGdfSCzFXcrkc1113Hclkknvuuac6IY4Q80F/fz/FYpFPfepTM/Z9/OMf56STTuI///M/56BlQkxasWIF+/fvn3VfPp8/yq0RYqbdu3fznve8p6Zs0aJFNDQ0HPS9K8RcqsRK0+cg6+3txbIsuru756ppR0SC+QXo7LPP5s4776y5dv6hhx5C13XOOOOMOW6dEO7stn/zN39Db28vd999t9wuUcw7a9as4Qc/+EFN2fbt2/n7v/97brnlFrk1nZgXzj33XH72s5+xfft21qxZA0A0GuXVV1/lL//yL+e2cUIAHR0dbNu2raZsYGCAaDRKZ2fnHLVKiIPr7u5myZIlPPTQQ7z3ve+tlj/wwANs3LgRj8czh6178ySYX4CuuuoqfvjDH3LDDTdw3XXXMTw8zNe//nWuuuoqCZrEvHDLLbewadMmvvjFL5JKpXjhhReq+9auXbvgPijFsSccDnPaaafNuu/444/n+OOPP8otEmKm9773vaxbt47Pfvaz3HjjjXi9Xv75n/8Zj8fDRz/60blunhBcddVV3HrrrXz1q1/lvPPOIxaLVecjmX7rLyGOhmw2y6OPPgq4iaVUKsVDDz0EwKmnnkpjYyOf+cxn+MIXvkBPTw+nnXYaDzzwAC+99NKCnItEU3ITyAVp9+7d/O3f/i1bt24lGAxy+eWXc+ONN0qQJOaF8847j4GBgVn3PfLII3R1dR3lFgnxxjZv3szHP/5x7r33XumZF/PGxMQEf//3f8+mTZsoFouccsop3HTTTaxYsWKumyYESin+4z/+gx//+Mf09fURDAZZv349N954I8uXL5/r5ok/Qf39/TMu/aj4wQ9+UE3k/+QnP+Guu+5icHCQpUuX8rnPfY5zzz33aDb1LSHBvBBCCCGEEEIIscDI1NJCCCGEEEIIIcQCI8G8EEIIIYQQQgixwEgwL4QQQgghhBBCLDASzAshhBBCCCGEEAuMBPNCCCGEEEIIIcQCI8G8EEIIIYQQQgixwEgwL4QQQgghhBBCLDASzAshhBBCCCGEEAuMBPNCCCHEMa6/v5/Vq1fzs5/9bK6b8pZZvXo1t99++1w3QwghhJgz5lw3QAghhBCTrr/+ep5++mmefPJJQqHQrHU+//nP8/DDD/P444/T0NBwlFt4bDrvvPMYGBiYdd9LL72E1+s9yi0SQgghDk2CeSGEEGIeef/738+mTZv47W9/ywc+8IEZ+7PZLL/73e8488wzJZB/i61Zs4ZPfOITM8oty5qD1gghhBCHJsG8EEIIMY+cd955BINB7rvvvlmD+UceeYRMJsP73//+o9+4N0kpRT6fx+fzzXVTDktbWxuXX375XDdDCCGEOCxyzbwQQggxj/h8Pt73vvfxzDPPMD4+PmP//fffTzAY5LzzziMWi/F//s//4bLLLmPDhg2cfPLJ/NVf/RWvvfbaYT3X7t27+exnP8upp57KunXruOKKK3jkkUdq6tx+++2sXr16xrE/+9nPWL16Nf39/dWy8847j+uuu47HH3+cK664ghNPPJH/+I//AODJJ5/k6quv5pRTTmHDhg1ccMEF/MM//MMbtrFQKHDrrbdy+umns2HDBq6//nqGhoZmrTs8PMxNN93Eu971Lk444QQuueQS7r333sP6XQghhBALjfTMCyGEEPPMZZddxs9//nMefPBB/vzP/7xaHovFeOKJJ7jkkkvw+Xzs2rWL3/72t1x44YV0dXUxNjbGPffcw5//+Z/zq1/9ira2toM+x65du7j66qtpa2vjk5/8JIFAgAcffJAbbriB22+/nfPPP/+I2r5nzx4+//nP85GPfIQrr7ySpUuXsmvXLq677jpWr17NZz/7WTweD/v27WPLli1veL4vfelL/PKXv+TSSy/l5JNP5plnnuFTn/rUjHpjY2NceeWVaJrGxz72MRobG3nsscf40pe+RCqV4i//8i/f8LlKpRITExM1ZX6/H7/ff9g/vxBCCHG0SDAvhBBCzDOnn346LS0t3H///TXB/EMPPUSxWOSyyy4D3BndH374YXR9cqDd5ZdfzkUXXcS9997LDTfccNDn+Lu/+zva29v56U9/isfjAeCjH/0oV199Nf/3//7fIw7m9+3bx7/8y79w1llnVcu+973vUSwWueuuu2hsbDzsc7322mv88pe/5KMf/Sg333wzAB/72Mf4/Oc/z44dO2rq/uM//iO2bXPfffdV5xK4+uqr+dznPsc3v/lNrrrqqjcc7v/EE0+wcePGmrJPf/rTfOYznznsNgshhBBHiwyzF0IIIeYZwzC45JJL2Lp1a80w9vvvv5/m5uZqwOnxeKqBvG3bRKNRAoEAS5cuZdu2bQc9fywW45lnnuGiiy4ilUoxMTHBxMQE0WiUM888k7179zI8PHxEbe/q6qoJ5AHC4TDgXu/vOM5hn+vRRx8F4C/+4i9qyq+55pqabaUUv/71rznvvPNQSlV/nomJCc4880ySySSvvvrqGz7fSSedxL/927/VLLPNWyCEEELMB9IzL4QQQsxDl112Gd/73ve4//77q9eJP/fcc/zFX/wFhmEA4DgOP/jBD/jRj35Ef38/tm1Xj6+vrz/ouffv349Sittuu43bbrtt1jrj4+OHHKZ/MF1dXTPKLr74Yn7yk5/wv/7X/+Ib3/gGGzdu5Pzzz+fCCy+sGVUw3cDAALqu09PTU1O+bNmymu2JiQkSiQT33HMP99xzz6znmj58fjYNDQ28613vesN6QgghxHwgwbwQQggxD51wwgksW7aMX/3qV1x//fXcf//9KKWqQ+wB7rzzTm677TY++MEP8td//ddEIhF0XefWW29FKXXQc1d6x6+99toZvegVlQBa07RZ909NHEw121B2n8/H3XffzebNm/n973/P448/zgMPPMA999zDd7/73Wpy4khVfp73v//9/Nmf/dmsdWabxE8IIYRYyCSYF0IIIeapyy67jNtuu43XXnuN+++/nyVLlnDiiSdW9z/88MOcdtpp3HrrrTXHJRKJQ96Dvru7G3Dvn/5GPdGVIfKJRKL6GGBwcPBN/Sy6rrNx40Y2btzITTfdxJ133sk//uM/snnz5oO2obOzE8dx2L9/f01vfG9vb029xsZGgsEgjuNIz7oQQog/GXLNvBBCCDFPVXrh/+mf/ont27fX9MqDe2399B74Bx988A2vd29qauLUU0/lnnvuYWRkZMb+qUPSKz30zz77bLUsk8nwX//1X4f9c8RisRlla9asAdxbzx3M2WefDcAPf/jDmvLvf//7NduGYXDBBRfw8MMPs3PnzhnnOZwh9kIIIcRCIz3zQgghxDzV3d3Nhg0bqvd+nx7Mv/vd7+aOO+7gpptuYsOGDezcuZP77ruv2vN+KDfffDMf/ehHueyyy7jyyivp7u5mbGyMF154gaGhIX75y18CcMYZZ9DR0cGXvvQlent7MQyDn/70pzQ0NBx27/wdd9zBc889xznnnENnZyfj4+P86Ec/YtGiRbzjHe846HFr1qzh0ksv5Uc/+hHJZJINGzbwzDPPsG/fvhl1P//5z7N582auvPJKPvzhD7NixQri8TivvvoqTz/9NH/4wx8Oq61CCCHEQiHBvBBCCDGPXXbZZWzdupUTTzyRxYsX1+y7/vrryWaz3HfffTzwwAOsXbuW73znO3zjG994w/OuWLGCn/70p3zzm9/k5z//ObFYjMbGRtauXVtzSzvLsvjmN7/JLbfcwm233UZLSwvXXHMN4XCYm2666bB+hvPOO4+BgQF++tOfEo1GaWho4NRTT+Uzn/kMdXV1hzz21ltvpaGhgfvuu49HHnmE0047jX/+53/mnHPOqanX3NzMT37yE+644w5+85vf8OMf/5j6+npWrFjBF77whcNqpxBCCLGQaOpQM+QIIYQQQgghhBBi3pFr5oUQQgghhBBCiAVGgnkhhBBCCCGEEGKBkWBeCCGEEEIIIYRYYCSYF0IIIYQQQgghFhgJ5oUQQgghhBBCiAVGgnkhhBBCCCGEEGKBkWBeCCGEEEIIIYRYYCSYF0IIIYQQQgghFhgJ5oUQQgghhBBCiAVGgnkhhBBCCCGEEGKBkWBeCCGEEEIIIYRYYCSYF0IIIYQQQgghFpj/H3bmNDWuUmcFAAAAAElFTkSuQmCC\n" }, "metadata": {} } ] }, { "cell_type": "markdown", "source": [ "# **Test $F$ de Fisher pour la Comparaison des Variances**" ], "metadata": { "id": "xAOyNiPTh76y" } }, { "cell_type": "markdown", "source": [ "## **Génération des Données Synthétiques pour le Problème de Comparaison de la variabilité des niveaux de PM2.5 et Visualisation du Résultat du Test**" ], "metadata": { "id": "3TrV4Gi_h_Ii" } }, { "cell_type": "code", "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from scipy.stats import f, norm\n", "\n", "# Fixer la graine pour la reproductibilité\n", "np.random.seed(8302)\n", "\n", "# Paramètres pour les niveaux de PM2.5 dans deux zones\n", "mean_a = 50 # Moyenne pour la zone industrielle\n", "std_a = np.sqrt(22) # Écart-type pour la zone industrielle\n", "mean_b = 50 # Moyenne pour la zone résidentielle\n", "std_b = np.sqrt(16) # Écart-type pour la zone résidentielle\n", "\n", "n1 = 15 # Taille de l'échantillon pour la Zone A\n", "n2 = 20 # Taille de l'échantillon pour la Zone B\n", "\n", "# Générer des échantillons aléatoires\n", "sample_a = norm.rvs(size=n1, loc=mean_a, scale=std_a)\n", "sample_b = norm.rvs(size=n2, loc=mean_b, scale=std_b)\n", "\n", "\n", "# Création des histogrammes\n", "plt.figure(figsize=(12, 6))\n", "\n", "plt.subplot(1, 2, 1)\n", "plt.hist(sample_a, bins=8, color='blue', alpha=0.7, label='Zone A (Industrielle)')\n", "plt.axvline(x=np.mean(sample_a), color='red', linestyle='dashed', label='Moyenne (Zone A)')\n", "plt.title(\"Distribution des niveaux de PM2.5 dans la Zone A\")\n", "plt.xlabel(\"Niveaux de PM2.5 (µg/m³)\")\n", "plt.ylabel(\"Fréquence\")\n", "plt.legend()\n", "\n", "plt.subplot(1, 2, 2)\n", "plt.hist(sample_b, bins=8, color='green', alpha=0.7, label='Zone B (Résidentielle)')\n", "plt.axvline(x=np.mean(sample_b), color='red', linestyle='dashed', label='Moyenne (Zone B)')\n", "plt.title(\"Distribution des niveaux de PM2.5 dans la Zone B\")\n", "plt.xlabel(\"Niveaux de PM2.5 (µg/m³)\")\n", "plt.ylabel(\"Fréquence\")\n", "plt.legend()\n", "\n", "plt.show()\n", "\n", "\n", "# Calculer les variances empiriques\n", "s1_squared = np.var(sample_a, ddof=1)\n", "s2_squared = np.var(sample_b, ddof=1)\n", "\n", "# Calculer la statistique F\n", "F_stat = s1_squared / s2_squared\n", "\n", "# Degrés de liberté\n", "d1 = n1 - 1\n", "d2 = n2 - 1\n", "\n", "# Niveau de signification\n", "alpha = 0.05\n", "\n", "# Calculer les valeurs critiques pour un test bilatéral\n", "F_critical_low = f.ppf(alpha / 2, d1, d2)\n", "F_critical_high = f.ppf(1 - alpha / 2, d1, d2)\n", "\n", "# p-valeur pour le test bilatéral\n", "p_value = 2 * min(f.cdf(F_stat, d1, d2), 1 - f.cdf(F_stat, d1, d2))\n", "\n", "# Afficher les résultats\n", "print(f\"Variance dans la Zone A (s1^2) : {s1_squared:.3f}\")\n", "print(f\"Variance dans la Zone B (s2^2) : {s2_squared:.3f}\")\n", "print(f\"Statistique F : {F_stat:.3f}\")\n", "print(f\"Valeurs critiques : F_inférieure = {F_critical_low:.3f}, F_supérieure = {F_critical_high:.3f}\")\n", "print(f\"p-valeur : {p_value:.4f}\")\n", "\n", "# Décision basée sur la statistique F\n", "if F_stat < F_critical_low or F_stat > F_critical_high:\n", " print(\"Décision : Rejeter H0 (différence significative entre les variances).\")\n", "else:\n", " print(\"Décision : Ne pas rejeter H0 (pas de différence significative entre les variances).\")\n", "\n", "# Tracé de la distribution F avec la statistique F et les valeurs critiques\n", "x = np.linspace(0.1, 5, 1000)\n", "y = f.pdf(x, d1, d2)\n", "\n", "plt.figure(figsize=(10, 6))\n", "plt.plot(x, y, 'b-', label='Distribution F')\n", "plt.axvline(F_stat, color='green', linestyle='--', label=f'Statistique F = {F_stat:.3f}')\n", "plt.axvline(F_critical_low, color='red', linestyle='--', label=f'Valeur critique inférieure = {F_critical_low:.3f}')\n", "plt.axvline(F_critical_high, color='red', linestyle='--', label=f'Valeur critique supérieure = {F_critical_high:.3f}')\n", "plt.fill_between(x, y, where=(x < F_critical_low) | (x > F_critical_high), color='red', alpha=0.5, label='Zone de rejet')\n", "plt.title('Distribution F avec zones de rejet')\n", "plt.xlabel('Valeur F')\n", "plt.ylabel('Densité de probabilité')\n", "plt.legend()\n", "plt.show()\n" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 1000 }, "id": "BdozDQBZ8HW1", "outputId": "564b2bd1-c0c8-421f-9033-645e53d0ac1c" }, "execution_count": null, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": {} }, { "output_type": "stream", "name": "stdout", "text": [ "Variance dans la Zone A (s1^2) : 25.885\n", "Variance dans la Zone B (s2^2) : 13.211\n", "Statistique F : 1.959\n", "Valeurs critiques : F_inférieure = 0.350, F_supérieure = 2.647\n", "p-valeur : 0.1721\n", "Décision : Ne pas rejeter H0 (pas de différence significative entre les variances).\n" ] }, { "output_type": "display_data", "data": { "text/plain": [ "
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\n" }, "metadata": {} } ] }, { "cell_type": "markdown", "source": [ "## **L'Hypothèse de l'Égalité des Variances est Maintenue Si la valeur 1 se trouve dans l'intervalle de Confiance Calculé**" ], "metadata": { "id": "CDZVDdu5joSi" } }, { "cell_type": "code", "source": [ "import numpy as np\n", "from scipy.stats import f\n", "import matplotlib.pyplot as plt\n", "\n", "# Données de l'échantillon\n", "n1, s1_squared = 20, 30\n", "n2, s2_squared = 25, 40\n", "alpha = 0.05\n", "\n", "# Degrés de liberté\n", "d1, d2 = n1 - 1, n2 - 1\n", "\n", "# Valeurs critiques de F\n", "F_critical_low = f.ppf(alpha / 2, d1, d2)\n", "F_critical_high = f.ppf(1 - alpha / 2, d1, d2)\n", "\n", "# Calcul de l'intervalle de confiance\n", "lower_bound = s1_squared / (s2_squared * F_critical_high)\n", "upper_bound = s1_squared / (s2_squared * F_critical_low)\n", "\n", "# Affichage de l'intervalle de confiance\n", "print(f\"Intervalle de confiance à 95% pour le ratio des variances : \"\n", " f\"[{lower_bound:.3f}, {upper_bound:.3f}]\")\n", "\n", "# Visualisation\n", "x = np.linspace(0.1, 5, 1000)\n", "y = f.pdf(x, d1, d2)\n", "\n", "plt.figure(figsize=(8, 4))\n", "plt.plot(x, y, 'b-', label='Densité PDF de F')\n", "plt.axvline(x=F_critical_low, color='red', linestyle='--', label=f'F critique bas {F_critical_low:.3f}')\n", "plt.axvline(x=F_critical_high, color='green', linestyle='--', label=f'F critique haut {F_critical_high:.3f}')\n", "plt.fill_between(x, y, where=(x >= F_critical_low) & (x <= F_critical_high), color='gray', alpha=0.5)\n", "plt.title(\"Visualisation de l'intervalle de confiance pour le ratio des variances\")\n", "plt.xlabel(\"Valeur de F\")\n", "plt.ylabel(\"Densité de probabilité\")\n", "plt.legend()\n", "plt.show()\n" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 437 }, "id": "BFC6pzPUooJq", "outputId": "fedcabce-7e95-45ed-f015-6d3129f6a4da" }, "execution_count": null, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "Intervalle de confiance à 95% pour le ratio des variances : [0.320, 1.839]\n" ] }, { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" 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