{"cells": [{"cell_type": "markdown", "metadata": {}, "source": ["# Gradient Boosting\n", "\n", "Le notebook explore l'algorithme du [Gradient Boosting](https://en.wikipedia.org/wiki/Gradient_boosting)."]}, {"cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [{"data": {"text/html": ["
run previous cell, wait for 2 seconds
\n", ""], "text/plain": [""]}, "execution_count": 2, "metadata": {}, "output_type": "execute_result"}], "source": ["from jyquickhelper import add_notebook_menu\n", "add_notebook_menu()"]}, {"cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": ["%matplotlib inline"]}, {"cell_type": "markdown", "metadata": {}, "source": ["## Premier exemple\n", "\n", "On consid\u00e8re les param\u00e8tres par d\u00e9faut de la classe [GradientBoostingRegressor](https://scikit-learn.org/stable/modules/generated/sklearn.ensemble.GradientBoostingRegressor.html#sklearn.ensemble.GradientBoostingRegressor)."]}, {"cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [{"data": {"image/png": "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\n", "text/plain": ["
"]}, "metadata": {"needs_background": "light"}, "output_type": "display_data"}], "source": ["from numpy.random import randn, random\n", "from pandas import DataFrame\n", "from sklearn.model_selection import train_test_split\n", "rnd = randn(1000)\n", "X = random(1000) * 8 - 4\n", "y = X ** 2 - X + rnd * 2 + 150 # X^2 - X + 150 + epsilon\n", "X = X.reshape((-1, 1))\n", "X_train, X_test, y_train, y_test = train_test_split(X, y)\n", "df = DataFrame({'X': X_train.ravel(), 'y': y_train})\n", "ax = df.plot(x='X', y='y', kind='scatter')\n", "ax.set_title(\"Nuage de points X^2 - X + 150 + epsilon\");"]}, {"cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [{"data": {"text/plain": ["GradientBoostingRegressor(alpha=0.9, ccp_alpha=0.0, criterion='friedman_mse',\n", " init=None, learning_rate=0.1, loss='ls', max_depth=1,\n", " max_features=None, max_leaf_nodes=None,\n", " min_impurity_decrease=0.0, min_impurity_split=None,\n", " min_samples_leaf=1, min_samples_split=2,\n", " min_weight_fraction_leaf=0.0, n_estimators=100,\n", " n_iter_no_change=None, presort='deprecated',\n", " random_state=None, subsample=1.0, tol=0.0001,\n", " validation_fraction=0.1, verbose=0, warm_start=False)"]}, "execution_count": 5, "metadata": {}, "output_type": "execute_result"}], "source": ["from sklearn.ensemble import GradientBoostingRegressor\n", "model = GradientBoostingRegressor(max_depth=1)\n", "model.fit(X_train, y_train)"]}, {"cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [{"data": {"image/png": "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\n", "text/plain": ["
"]}, "metadata": {"needs_background": "light"}, "output_type": "display_data"}], "source": ["import numpy\n", "ind = numpy.argsort(X_test, axis=0)\n", "y_ = model.predict(X_test)\n", "df = DataFrame({'X': X_test[ind].ravel(), \n", " 'y': y_test[ind].ravel(),\n", " 'y^': y_[ind].ravel()})\n", "ax = df.plot(x='X', y='y', kind='scatter')\n", "df.plot(x='X', y='y^', kind='line', ax=ax, color=\"r\")\n", "ax.set_title(\"Pr\u00e9dictions avec GradientBoostingRegressor\");"]}, {"cell_type": "markdown", "metadata": {}, "source": ["Rien d'impr\u00e9vu jusque l\u00e0. Essayons autre chose. On regarde avec une seule it\u00e9ration."]}, {"cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [{"data": {"text/plain": ["GradientBoostingRegressor(alpha=0.9, ccp_alpha=0.0, criterion='friedman_mse',\n", " init=None, learning_rate=0.5, loss='ls', max_depth=1,\n", " max_features=None, max_leaf_nodes=None,\n", " min_impurity_decrease=0.0, min_impurity_split=None,\n", " min_samples_leaf=1, min_samples_split=2,\n", " min_weight_fraction_leaf=0.0, n_estimators=1,\n", " n_iter_no_change=None, presort='deprecated',\n", " random_state=None, subsample=1.0, tol=0.0001,\n", " validation_fraction=0.1, verbose=0, warm_start=False)"]}, "execution_count": 7, "metadata": {}, "output_type": "execute_result"}], "source": ["model = GradientBoostingRegressor(max_depth=1, n_estimators=1, learning_rate=0.5)\n", "model.fit(X_train, y_train)"]}, {"cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [{"data": {"image/png": "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\n", "text/plain": ["
"]}, "metadata": {"needs_background": "light"}, "output_type": "display_data"}], "source": ["y_ = model.predict(X_test)\n", "df = DataFrame({'X': X_test[ind].ravel(), \n", " 'y': y_test[ind].ravel(),\n", " 'y^': y_[ind].ravel()})\n", "ax = df.plot(x='X', y='y', kind='scatter')\n", "df.plot(x='X', y='y^', kind='line', ax=ax, color=\"r\")\n", "ax.set_title(\"Pr\u00e9dictions avec GradientBoostingRegressor\\net une fonction en escalier\");"]}, {"cell_type": "markdown", "metadata": {}, "source": ["Essayons de montrer l'\u00e9volution de la courbe pr\u00e9dite en fonction du nombre de marches et revenons \u00e0 100 estimateurs."]}, {"cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [{"data": {"text/plain": ["GradientBoostingRegressor(alpha=0.9, ccp_alpha=0.0, criterion='friedman_mse',\n", " init=None, learning_rate=0.1, loss='ls', max_depth=1,\n", " max_features=None, max_leaf_nodes=None,\n", " min_impurity_decrease=0.0, min_impurity_split=None,\n", " min_samples_leaf=1, min_samples_split=2,\n", " min_weight_fraction_leaf=0.0, n_estimators=100,\n", " n_iter_no_change=None, presort='deprecated',\n", " random_state=None, subsample=1.0, tol=0.0001,\n", " validation_fraction=0.1, verbose=0, warm_start=False)"]}, "execution_count": 9, "metadata": {}, "output_type": "execute_result"}], "source": ["model = GradientBoostingRegressor(max_depth=1)\n", "model.fit(X_train, y_train)"]}, {"cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [{"data": {"image/png": "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\n", "text/plain": ["
"]}, "metadata": {"needs_background": "light"}, "output_type": "display_data"}], "source": ["for i in range(0, model.estimators_.shape[0] + 1, 10):\n", " if i == 0:\n", " df = DataFrame({'X': X_test[ind].ravel(),\n", " 'y': y_test[ind].ravel()})\n", " ax = df.plot(x='X', y='y', kind='scatter', figsize=(10, 4))\n", " y_ = model.init_.predict(X_test)\n", " color = 'b'\n", " else:\n", " y_ = sum([model.init_.predict(X_test)] + \n", " [model.estimators_[k, 0].predict(X_test) * model.learning_rate\n", " for k in range(0, i)])\n", " color = 'r'\n", " df = DataFrame({'X': X_test[ind].ravel(),\n", " 'y^': y_[ind].ravel()})\n", " df.plot(x='X', y='y^', kind='line', ax=ax, color=color, label='i=%d' % i)\n", "ax.set_title(\"Pr\u00e9dictions\");"]}, {"cell_type": "markdown", "metadata": {}, "source": ["## learning rate et it\u00e9rations\n", "\n", "Et si on choisissait un *learning_rate*, plus petit ou plus grand..."]}, {"cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [{"data": {"text/plain": ["GradientBoostingRegressor(alpha=0.9, ccp_alpha=0.0, criterion='friedman_mse',\n", " init=None, learning_rate=1.99, loss='ls', max_depth=1,\n", " max_features=None, max_leaf_nodes=None,\n", " min_impurity_decrease=0.0, min_impurity_split=None,\n", " min_samples_leaf=1, min_samples_split=2,\n", " min_weight_fraction_leaf=0.0, n_estimators=100,\n", " n_iter_no_change=None, presort='deprecated',\n", " random_state=None, subsample=1.0, tol=0.0001,\n", " validation_fraction=0.1, verbose=0, warm_start=False)"]}, "execution_count": 11, "metadata": {}, "output_type": "execute_result"}], "source": ["model01 = GradientBoostingRegressor(max_depth=1, learning_rate=0.01)\n", "model01.fit(X_train, y_train)\n", "modela = GradientBoostingRegressor(max_depth=1, learning_rate=1.2)\n", "modela.fit(X_train, y_train)\n", "modelb = GradientBoostingRegressor(max_depth=1, learning_rate=1.99)\n", "modelb.fit(X_train, y_train)"]}, {"cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [{"data": {"image/png": "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\n", "text/plain": ["
"]}, "metadata": {"needs_background": "light"}, "output_type": "display_data"}], "source": ["import matplotlib.pyplot as plt\n", "fig, ax = plt.subplots(1, 3, figsize=(12, 4))\n", "ind = numpy.argsort(X_test, axis=0)\n", "\n", "for i, mod in enumerate([model01, modela, modelb]):\n", " df = DataFrame({'X': X_test[ind].ravel(), \n", " 'y': y_test[ind].ravel(),\n", " 'y^': mod.predict(X_test)[ind].ravel()})\n", " df.plot(x='X', y='y', kind='scatter', ax=ax[i])\n", " df.plot(x='X', y='y^', kind='line', ax=ax[i], color=\"r\")\n", " ax[i].set_title(\"learning_rate=%f\" % mod.learning_rate);"]}, {"cell_type": "markdown", "metadata": {}, "source": ["Une trop faible valeur de *learning_rate* semble retenir le mod\u00e8le de converger, une grande valeur produit des effets impr\u00e9visibles. Pour comprendre pourquoi, il faut d\u00e9tailler l'algorithme..."]}, {"cell_type": "markdown", "metadata": {}, "source": ["## L'algorithme"]}, {"cell_type": "markdown", "metadata": {}, "source": ["### Inspiration\n", "\n", "\n", "L'algorithme est inspir\u00e9 de l'algorithme de la descente de gradient. On consid\u00e8re une fonction r\u00e9elle $f(x)$ et on calcule le gradient $\\frac{\\partial f}{\\partial x}(x)$ pour construire une suite :\n", "\n", "$$x_{t+1} = x_t - \\epsilon_t \\frac{\\partial f}{\\partial x}(x_t)$$\n", "\n", "La suite $(x_t)$ converge vers le minimum de la fonction $f$. On applique cela \u00e0 une fonction d'erreur issue d'un probl\u00e8me de r\u00e9gression.\n", "\n", "$$f(x) = \\sum_{n=1}^N l(F(X_i), y_i)$$\n", "\n", "Le plus souvent, on applique cette m\u00e9thode \u00e0 une fonction $F$ qui d\u00e9pend d'un param\u00e8tre $\\theta$\n", "\n", "$$f(\\theta, x) = \\sum_{n=1}^N l(F(\\theta, X_i), y_i)$$\n", "\n", "Et c'est la suite $\\theta_{t+1} = \\theta_t - \\epsilon_t \\frac{\\partial f}{\\partial \\theta}(\\theta_t)$ qui converge vers le minimum de la fonction $f$ de sorte que la fonction $f(\\theta, x)$ approxime au mieux les points $(X_i, y_i)$. Mais, on pourrait tout-\u00e0-fait r\u00e9soudre ce probl\u00e8me dans un espace de fonctions et non un espace de param\u00e8tres :\n", "\n", "$$G_{t+1} = G_t - \\epsilon_t \\frac{\\partial f}{\\partial G}(G_t)$$\n", "\n", "Le gradient $\\frac{\\partial f}{\\partial G}$ est facile \u00e0 calculer puisqu'il ne d\u00e9pend pas de $G$. On pourrait donc construire la fonction de r\u00e9gression $G$ comme une suite additive de fonctions $F_k \\sim - \\epsilon_t \\frac{\\partial f}{\\partial G}(G_t)$. \n", "\n", "$$G_t = \\sum_{k=1}^t F_k$$\n", "\n", "Et nous pourrions construire la fonction $F_k$ comme solution d'un probl\u00e8me de r\u00e9gression d\u00e9fini par les couples $(X_i, z_i)$ avec :\n", "\n", "$$\\begin{array}{rcl} z_i &=& - \\epsilon_t \\frac{\\partial f}{\\partial G}(G_t(X_i), y_i) \\\\ f(X_i, y_i) &=& l(G_t(X_i), y_i)\\end{array}$$\n", "\n", "Voil\u00e0 l'id\u00e9e."]}, {"cell_type": "markdown", "metadata": {}, "source": ["### Algorithme\n", "\n", "Je reprends ici la page wikipedia. On cherche \u00e0 construire un mod\u00e8le qui minimise l'erreur $L(y,F(x)) = \\sum_{i=1}^n l(y_i, F(X_i))$. On note $r$ le learning rate.\n", "\n", "**Etape 1 :** on cale un premier mod\u00e8le de r\u00e9gression, ici, simplement une constante, en optimisant $F_0(x) = \\arg \\min_\\gamma \\sum_{i=1}^n L(y_i, \\gamma)$. $F_0(x)$ est une constante.\n", "\n", "On note ensuite $F_m(x) = \\gamma_0 \\sum_{k=1}^m r \\gamma_k h_k(x)$ o\u00f9 $\\gamma_0$ est la fonction constante construire lors de la premi\u00e8re \u00e9tape.\n", "\n", "**Etape 2 :** on calcule ensuite les erreurs $e_{im} = l(y_i, F_m(x_i))$ et l'oppos\u00e9 du gradient $r_{im} = - \\left[ \\frac{\\partial l(y_i, F_m(x_i)) }{\\partial F_m(x_i)} \\right]$\n", "\n", "**Etape 3 :** on choisit la fonction $h_{m+1}(x)$ de telle sorte qu'elle approxime au mieux les r\u00e9sidus $r_{im}$.\n", "\n", "**Etape 4 :** on choisit le coefficient $\\gamma_{m+1}$ de telle sorte qu'il minimise l'expression $\\min_\\gamma \\sum_{i=1}^n l\\left(y_i, \\gamma_0 + \\sum_{k=1}^m r \\gamma_k h_k(x_i) + \\gamma h_{m+1}(x_i)\\right)$.\n", "\n", "On retourne l'\u00e9tape 2 autant de fois qu'il y a d'it\u00e9rations. Lorsque l'erreur est une erreur quadratique $l(y, F(x)) = (y-F(x))^2$, les r\u00e9sidus deviennent $r_{im} = -2 (y_i - F_m(x_i))$. Par cons\u00e9quent, la fonction $h$ approxime au mieux ce qu'il manque pour atteindre l'objectif. Un learning rate \u00e9gal \u00e0 1 fait que la somme des pr\u00e9dictions de chaque fonction $h_m$ oscille autour de la vraie valeur, une faible valeur donne l'impression d'une fonction qui converge \u00e0 petits pas, une grande valeur accro\u00eet l'amplitude des oscillations au point d'emp\u00eacher l'algorithme de converger.\n", "\n", "On voit aussi que l'algorithme s'int\u00e9resse d'abord aux points o\u00f9 le gradient est le plus fort, donc en principe aux erreurs les plus grandes."]}, {"cell_type": "markdown", "metadata": {}, "source": ["## R\u00e9gression quantile\n", "\n", "Dans ce cas, l'erreur quadratique est remplac\u00e9e par une erreur en valeur absolue. Les r\u00e9sidus dans ce cas sont \u00e9gaux \u00e0 -1 ou 1."]}, {"cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [{"data": {"text/plain": ["GradientBoostingRegressor(alpha=0.5, ccp_alpha=0.0, criterion='friedman_mse',\n", " init=None, learning_rate=2.01, loss='quantile',\n", " max_depth=1, max_features=None, max_leaf_nodes=None,\n", " min_impurity_decrease=0.0, min_impurity_split=None,\n", " min_samples_leaf=1, min_samples_split=2,\n", " min_weight_fraction_leaf=0.0, n_estimators=100,\n", " n_iter_no_change=None, presort='deprecated',\n", " random_state=None, subsample=1.0, tol=0.0001,\n", " validation_fraction=0.1, verbose=0, warm_start=False)"]}, "execution_count": 13, "metadata": {}, "output_type": "execute_result"}], "source": ["alpha = 0.5\n", "model = GradientBoostingRegressor(alpha=alpha, loss='quantile', max_depth=1, learning_rate=0.1)\n", "model.fit(X_train, y_train)\n", "model01 = GradientBoostingRegressor(alpha=alpha, loss='quantile', max_depth=1, learning_rate=0.01)\n", "model01.fit(X_train, y_train)\n", "modela = GradientBoostingRegressor(alpha=alpha, loss='quantile', max_depth=1, learning_rate=1.2)\n", "modela.fit(X_train, y_train)\n", "modelb = GradientBoostingRegressor(alpha=alpha, loss='quantile', max_depth=1, learning_rate=1.99)\n", "modelb.fit(X_train, y_train)\n", "modelc = GradientBoostingRegressor(alpha=alpha, loss='quantile', max_depth=1, learning_rate=2.01)\n", "modelc.fit(X_train, y_train)"]}, {"cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [{"data": {"image/png": "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\n", "text/plain": ["
"]}, "metadata": {"needs_background": "light"}, "output_type": "display_data"}], "source": ["fig, ax = plt.subplots(1, 5, figsize=(12, 4))\n", "ind = numpy.argsort(X_test, axis=0)\n", "\n", "for i, mod in enumerate([model, model01, modela, modelb, modelc]):\n", " df = DataFrame({'X': X_test[ind].ravel(), \n", " 'y': y_test[ind].ravel(),\n", " 'y^': mod.predict(X_test)[ind].ravel()})\n", " df.plot(x='X', y='y', kind='scatter', ax=ax[i])\n", " df.plot(x='X', y='y^', kind='line', ax=ax[i], color=\"r\")\n", " ax[i].set_title(\"learning_rate=%1.2f\" % mod.learning_rate);"]}, {"cell_type": "markdown", "metadata": {}, "source": ["Concr\u00e8tement, le param\u00e8tre *max_depth=1* correspond \u00e0 une simple fonction $f(x) = \\mathbb{1}_{x > s}$ et le mod\u00e8le final est une somme pond\u00e9r\u00e9e de fonctions indicatrices."]}, {"cell_type": "markdown", "metadata": {}, "source": ["## learning_rate et sur-apprentissage"]}, {"cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [{"name": "stderr", "output_type": "stream", "text": ["100%|\u2588\u2588\u2588\u2588\u2588\u2588\u2588\u2588\u2588\u2588| 25/25 [00:07<00:00, 3.33it/s]\n"]}, {"data": {"text/plain": ["[[0.8694704613325202, 0.6154817789660219],\n", " [0.8483182026025287, 0.5448822271424512],\n", " [0.8461792771831131, 0.4989444940263401]]"]}, "execution_count": 15, "metadata": {}, "output_type": "execute_result"}], "source": ["from sklearn.ensemble import RandomForestRegressor\n", "from tqdm import tqdm\n", "\n", "def experiment(models, tries=25):\n", " scores = []\n", " for _ in tqdm(range(tries)):\n", " rnd = randn(1000)\n", " X = random(1000) * 8 - 4\n", " y = X ** 2 - X + rnd * 2 + 150 # X^2 - X + 150 + epsilon\n", " X = X.reshape((-1, 1))\n", " X_train, X_test, y_train, y_test = train_test_split(X, y)\n", " scs = []\n", " for model in models:\n", " model.fit(X_train, y_train)\n", " sc = model.score(X_test, y_test)\n", " scs.append(sc)\n", " scores.append(scs)\n", " return scores\n", "\n", "scores = experiment([\n", " GradientBoostingRegressor(max_depth=1, n_estimators=100),\n", " RandomForestRegressor(max_depth=1, n_estimators=100)\n", "])\n", "scores[:3]"]}, {"cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [{"data": {"image/png": "iVBORw0KGgoAAAANSUhEUgAAAlUAAAEICAYAAAB2/gEGAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4xLjEsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy8QZhcZAAAgAElEQVR4nOzdd3wUdfrA8c+TRioEktBCIAmgdFC6gGJXVECUZkXs9Yp6p17zPD3v7mc5z17BCmJD7IqVDkHpnQRIqCEhvWe/vz++E1hiQgqb7CY879crr+zuzM48Mzs7+8y3jRhjUEoppZRSx8fP2wEopZRSSjUHmlQppZRSSnmAJlVKKaWUUh6gSZVSSimllAdoUqWUUkop5QGaVCmllFJKeYAmVcqnich6ERnt7TjUiUtEponIwipejxGRVSIysA7Lek5EHvZgbD+IyA31fO+lIpIqInkicoqnYqrFer8QkWsba31NmYjMrDheRGSUiGz2dkzq2DSpaiZE5AoRSXJOkHudE9dIb8d1vIwxvY0xP3g7DqXciUgg8DpwmzFmZS3fcxNQbIz5c4MGV3uPAXcYY8KNMb80xApE5EERecv9NWPMhcaY1xtifc2ZMWaBMeZkb8ehji3A2wGo4ycivwfuA24BvgJKgAuAccCvrrB9hYgEGGPKvB2HN5zI294cGGNKgTE1zSci/saYcuc9LzV4YHXTBVjv7SBUw9PzTePRkqomTkRaAQ8BtxtjPjTG5BtjSo0xnxhj7nXmaSEi/xWRPc7ff0WkhTNttIikicgfROSAU8o1XkTGiMgWEckUkQfc1vegiLwvIu+KSK6I/Cwi/d2m3yci251pG0TkUrdp00RkkYg8KSKZwIMi0lVEvhORDBE5KCJvi0ik23t2iMg5zuMhTmlcjojsF5En3OYb61QVZjlVIj0rLeMeEVkjItlO7MHV7M+KGJ925t0kIme7Te8oIvOc/bJNRG50m3a4qN5931aK448isgbIF5GjLmpEJF5EjPvr7tU7FdVQIvKYiBwSkRQRudD9WBCRV53PcLeIPCwi/tVs5/Hsy3udfZnvrK+dUzKaKyLzRaR1pe25Tmw10yERuUVEBjvvzxKRZyrFNV1ENjrzfiUiXaqJv2LZNznH9F4Rudttem2O+bvlyDF/ndt7o5zPOEdElgNdK627h4h84xwDm0VkUqVj4HkR+VxE8oEznVgeE5Fdzr5+QURC3N5zsdhqxCwRWSwi/araZmfec51jMtvZd1LX/efEkwf4A6tFZLvzek/n885yPv+xlbbrWRH5zPmcl4lIV7fpvd32yX4ReUBELgAeACaLLUFf7czrfkz7icifRWSn81m8Ifac5v4ZX+vsu4Mi8ie3dVZ7DFexzdXuY6nD+eFY+1isJ53tyHaW18eZFiIijzvbmS32exziTHtPRPY5r/8kIr2rWW/l80lHEflARNLFngvucptWcZ5+S0RygGnVbY/yMGOM/jXhP2yJVBkQcIx5HgKWAm2BGGAx8A9n2mjn/X8FAoEbgXTgHSAC6A0UAYnO/A8CpcDlzvz3AClAoDN9ItARm7BPBvKBDs60ac667sSWkoYA3YBzgRZObD8B/3WLfQdwjvN4CXC18zgcGOY8PslZz7lOTH8AtgFBbstY7sTVBtgI3FLNvqqI8XfOsiYD2UAbZ/qPwHNAMDDA2VdnO9NmAg+7LWs0kFZpW1YBcUBIFeuOB4z7Zwn8ANzgFlup8xn5A7cCewBxps8FXgTCnM96OXBzNdt5PPtyKdAOiAUOAD8Dpzif4XfA3yptzwvO/joPeyzNdeKreP8ZzvzjnXX1xB4ffwYWVxN/xbJnOdvb1/ksKo6V2hzzDznbOAYoAFo702cDc5zl9gF2AwudaWFAKnCdE+OpwEGgt9sxkA2MwH4HgoH/AvOwx14E8AnwqDP/qc4+GOp8ptc6+7hFFdscDeRw5Lv3O2c7bqjr/nPmN0A353Gg894HgCDgLCAXONltuzKBIc6y3wZmO9MigL3A3c72RgBD3c4Xb1Va7w9uMU931puIPQ4/BN6s9Bm/jD1X9AeKgZ7HOoar2M5j7mPqdn6odh8D5wMrgUhsstuTI+e+Z53tjnViOM1t/dOdfdYCe6ysclvfTJxzCm7nE+yxtRJ73g5y9l8ycH6l8/R4Z95fnW/0r2H+vB6A/h3nBwhXAvtqmGc7MMbt+fnADufxaKAQ8HeeRzgnsqFu868ExjuPHwSWuk3zw55QR1Wz7lXAOOfxNGBXDbGOB35xe76DIz+UPwF/B6IrvecvwJxKMe0GRrst4yq36f8BXqhm/dNwS1Sc15YDV2OToXIgwm3ao8BM5/HhE6Dbvq2cVE0/xrbHU3NStc1tWqgzf3tsklPsfvIEpgLfV7Ou49mXV7pN/wB43u35ncDcStsT6zY9A5hc6f2/dR5/AVxfad0FQJdj7KselT7XV+twzLvv5wPAMOwPXmml5f6TI0nVZGBBpVhe5EgiORN4w22aYJPUrm6vDQdSnMfP4yR7btM34ySalV6/hqO/ewKkuR0ftd5/znT3pGoUsA/wc5s+C3jQbbtecZs2Btjkdpz9Us06HuTYSdW32HZpFdNOdvZ/gNtn3KnSd3HKsY7hKmI45j6mbueHavcxNhHd4hxHfpXmKQT6HytOZ95IZ5tbue33qpKqoVQ6lwL3AzPc9vtPNa1P/zz/p9V/TV8GEC2VqpIq6QjsdHu+03nt8DKM0+4D++UH2O82vRB7JVghteKBMcaFPbF3BBCRa9yK2bOwV/rRVb3Xmb+tiMwWW12VA7xVaX5312NLUjaJyAoRubiq7XNiSsVeFVbY5/a4oNL2VLbbOGcmR8X+6ghkGmNyK01zX09NUmue5ZgOb4cxpsB5GI49qQcCe932/YvYkpqqHM++rHxsHOtYqcv8XYCn3OLPxCYOx9q/7vvT/biuzTHv3sak4piIwf6gV15uhS7A0IoYnTivxCa2VcUUg01+V7rN/6XzesXy7q60vLhKsVboyNHfPVNpXfXZf0ct2/m83be7Nt+hOGwSWx9VfU4B2IuEmtZb3TFcWW32cW3PD9XuY2PMd8Az2FKp/SLykoi0xJ7PgqliH4mIv4j8S2yTiRxsggfVnwPd4+hYaZse4Oj9drznGlUPmlQ1fUuwVSrjjzHPHuyXsEJn57X6iqt4ICJ+QCdgj9O24GXgDiDKGBMJrOPodh/uyQrYkh4D9DPGtASuqjT/kTcas9UYMxWbKPwbeF9Ewqi0fSIiToy767l9sc4yKlTsrz1AGxGJqDStYj352B/QCu4/tIc34xjrzXf+17SMqqRiS6qijTGRzl9LY0yV7TMacV/WRSq2ujLS7S/EGLP4GO+Jc3vsflzX95hPx1apVV6ue4w/Voox3Bhzq9s87p/xQWzi2Ntt/lbGmHC35T1SaXmhxphZVcS2l6O/e8LRcdZn/1XYA8Q532f37a7N555KpXZnbo51vFest/LnVMbRiXfVC67+GK4qvtru45occx8bY/5njBmIbTZxEnAv9hgooup9dAW2Q9E5QCts6RxUcw6sFEdKpTgijDHunSdq2veqAWhS1cQZY7Kx9erPim1gHioigSJyoYj8x5ltFvBnsePqRDvzv1XdMmthoIhMcErHfov9MV+KbW9isD9MiG3826eGZUUAeUCWiMRiT0JVEpGrRCTGuZrOcl4ux7Z/uUhEzhbb1f1uJ6ba/JhUpS1wl7MfJ2LbRnxujEl1lvmoiAQ7jV2vx7YvAVvVOUZE2ohIe+y+qTVjTDr2R+wq5wp2OtX/WFV+717ga+BxEWkptgFwVxE5o6r5G3Ff1sULwP0VDXXFNryfWMN7/uIc872x7ZzedV6v1zHvlNh+iO1EESoivbBtcCp8CpwkIlc7x0eg2Ib3PatZngt7ofGkiLR1titWRM53ZnkZuEVEhooVJiIXVUrcK3wG9Hb77t3F0Ul3ffZfhWXYpP4PzjaNBi7Bti+ryadAexH5rdhG8BEiMtSZth+Ir5SsuZsF/E5EEkQkHFvV+q6pRU+1YxzDldVlH9ek2n3sHAdDne9NPjaRKnfiew14Qmzjcn8RGS6240QE9vuVgb2Y+mct41gO5Ijt+BLiLLOPiAyuxzYpD9KkqhkwxjwB/B7baDIdexVzB7ZBMMDDQBKwBliLbVh8PAMQfoxtW3II29ZogrE9DjcAj2NLz/ZjGw8vqmFZf8c2JM3G/mh8eIx5LwDWi+259BS2bUWRMWYztoTraexV4SXAJcaYknpu3zKgu7OsR4DLjTEZzrSp2KvJPcBH2LY03zjT3gRWY4vwv+bID3xd3IhNLDOwV7t1SWauwTZa3YD9bN4HOlQzb2Pty1ozxnyELXGY7VSFrAMuPPa7+BHbcPhb4DFjzNfO68dzzN+Brf7Zh23TMsMtxlxsg/sp2GNgnxNzi2Ms749OjEud7ZqPbTuEMSYJ+5k/g/3MtlFNTy1jzEFsR5B/YY+P7rh9v+q5/yreWwKMdeY/iO2McY0xZlMt3puL7dhwCXZ/bAXOdCa/5/zPEJGfq3j7a9jvzU/YDi9F2HZ5tVHlMVxFfLXexzWpYR+3xCZwh7DVmBnYscDAduhZC6zAVhn+G/v7+4Yz727s93ZpLeMox+7vAdj9dhB4BVvapbyooteQUrUiIg9iG7de5e1YGoKITMM2om3yA6c2ZyISz5Fepzr+jlLKJ2hJlVJKKaWUB2hSpZRSSinlAbWq/hM7Mu5T2DFcXjHG/KvS9C7YuvEYbH3xVcaYtF8tSCmllFKqmaoxqRJ7m4st2IaIadiGdlOdRskV87wHfGqMeV1EzgKuM8Zc3XBhK6WUUkr5ltrcUHkIdhTnZAARmY0dV2OD2zy9sLdMAPieI73OqhUdHW3i4+PrFKxSSimllDesXLnyoDEm5ljz1CapiuXokVnTsEPku1sNXIatIrwUiBCRKLdu6ACIyE3ATQCdO3cmKSmpFqtXSimllPIuEdlZ0zy1aahe1ciulesM7wHOEJFfgDOwY278qpuzMeYlY8wgY8ygmJhjJntKKaWUUk1KbUqq0jj6VgidqHS7B2PMHmACgDMq7mXOSN9KKaWUUieE2pRUrQC6O7cRCMKOJDzPfQYRiXa7DcH92J6ASimllFInjBqTKme04juAr4CNwBxjzHoReUhExjqzjQY2i8gW7F2yH2mgeJVSSimlfJLXblMzaNAgow3VlVJKKdUUiMhKY8ygY82jI6orpZRSSnmAJlVKKaWUUh5Qm95/qokpdxnm/rKbfTlFhAX5E9YigPAWAYQHBxx+HNYigPCgAMJa+BPgr7m1Ukopdbw0qWpm1u/J5oEP17I6rfYjWrQI8DuSdAVVJF3+RyVg9rE/Qf5+iAjijF4mQMWTigHNRECcZ/bxkdftfEdeFCAqPIhB8W1oGRx4PJveIFwuw8Z9OSzcepAt+/M4uX04A+Ja0ye2JaFB+vVRSil1hP4qNBP5xWX8d/4WXlu0g9ahQfxv6imc37sd+cXl5BeXkVdcRn5xGbnOf/ta+eHHR79exsG8EnZmFJDnPC8oKW/Q+P0E+sS2YlhiFMMToxic0IbwFt45PNMOFbBo20EWbD3I4u0ZZOaXABAVFsQHP9v7hPv7CSe1i2BAXCsGxEUyIK413dqG4+9X1Vi5Dc/lMuzOKmR7eh47DuaTX1JOWbmhzOWitNxQVu6izGUoLXdRVm4odblqmG5fq3juMobpIxO4Zni8V7ZPKaWagmbb+6/cZUg7VECXqLAGW4ev+G7Tfv4ydz27swqZOqQz913Qg1ahni31cbkM+SVllJYbKo4ZA1QcPobDDw4Pt2/MkdePzMeR9zuvpR0qZElyBku3Z/BL6iFKyw3+fkLf2FYM72qTrEHxrRusZCi7sJQl2zNYuC2dRdsySDmYD0DbiBaM7B7NyG72r23LYA7mFbM6NYvVqVn84vzPKbI3DwgL8qdvp1b0j4vklLhI+sdF0qFViEdjLSgpIzk9n+3peWx3/ien55OcnkdxmetX84tAoJ8fAf5CgJ8Q6F/x2I+gAD8C/IQAfz8CnelHHh/5H+Av7M4q5JddWTw1ZQDjBsR6dJuUOlEYYziYV4IIRIe38HY4qo5q0/uv2SZVX6/fx81vrWT0STFcc1o8Z3SPwc9LpQgNZX9OEX//ZD2fr91H97bhPDqhL4Pi23g7rONSWFLOz7sOsWR7BkuSM1idmkWZyxDoL/TvFMnwrlEMS4xiYJfWBAf612sdxWXl/Lwzy5ZGbTvI2rQsXMYmRcMSoxjRLZpR3aPp1jYckWMfM8YYUg7ms8pJsFalZrFhbw6l5fZ71a5lC/p3imRA50gGxEXSr1NkjSVwxhj25xSTnJ53VPK0/UAee7KLDs/nJxDXJpSuMeF0jQmja0w4iTHhJESHEREcQKC/n8dKzorLyrnm1eX8vOsQr08fwmldoz2y3KbA5TLklZT5ZPV0Q8stKiU5PZ+T20fU+/vWWFIzC8gtKiM2MoSWIQE1fncbUsVF/fb0PLYdsH/b0/PZdiCP7MJS/P2E8QNiue3MrnSNCfdanMeyOjWLrzfsIzQogKiwIFqHBREVFkSbsCCiwloQERzQ7H5Ta3JCJ1UHcot4Z9ku3l62i/TcYrpEhXL1sC5MHBjn8VKcxlbuMryzbCf/+XIzJeUu7jq7OzeOSiQooPk1OM8vLiNp55Eka93ubMpdhiB/PwZ0jmR4YhTDu0ZxSudIWgRUfdI3xrBpX+7hKr3lKZkUlpbj7ycMiIs8nEQNiIsk0AON9ovLytmwJ+eoRGtHRgFgS466tw0/nGj1aB/BgZziXyVP+W7VrWFB/nRtG/6r5KlLVGij/tBlF5Yy8YXF7M0u4v1bTuPk9hGNtm5vySkq5da3VrI8JZNL+nfkxlGJ9OzQ0tthNYii0nI27s1hTVo2q9OyWJOWzfb0PIyxVd9XDu3MVcO60LZlsLdDPcwYw8JtB3ltYQrfb04//HpokD8dWgXTMTKEjq1C6BAZTMdWIXSMPPI4JOj4vztFpeUkp+ezzfneVvxPPphPiVvJcXR4C7rGhNGtbTjd2oazK7OAWct3UVzmYkyfDtx+Zjd6dfT+ceVyGb7bdICXFiSzPCUTPwFXNSmCv5/QOjTISbgCiQprQRsn6WpzOPk6koy1DgvyyPnVm07opKpCSZmLr9bv4/XFO0jaeYiQQH/GnxLLNcO7NMmT44Y9OTzw0VpWpWYxqns0/xjXh/jo5l/FWSG3qJQVOzJZsj2DpcmZrNuTjTG2sf3ALq0ZnhjFsK5RtG8ZzNLkDBZuO8iibRkczCsGoGtMmK3O6x7D0MTGaxx/KL+E1WlZrE7NZlXqIValZnGooPSoeTq2Cq4yeWrXsoVXr7rd7c4qZMJzi/AT4aPbRtC+le/8wHravuwips1YzrYDeYzp24H5G/dTUFLOqO7R3DAqkdO7R/vM51JX5S7DtgN5tirbSaA27TtSwhod3oIBca3o1ymSLlGhfLJ6L99u2k+An3BJv45cNyKBvp1aeS3+wpJyPvplNzMWpbD1QB7R4S24elgXurUNZ292IXuyipz/hezJLiI9t/hXy2gdGkiHViF0jAx2/rs/DqZdy+DDSUBWQYlbiZNT+pSeR9qhwsPNGEQgrnXo4cSpW0w4Xdva73FkaNCv1n8wr5jXFqbwxpKd5BWXcXaPttx+VjdO7dy6QfddVYpKy/nw5928sjCZ5PR8YiNDuG5EPJMHxxHg50dmQQmH8kvIyC8hM7+YzPxS538JGXklHCqomFZCVqXzmruWwQG0bRnMzacncvnATk3u+6NJVSXrdmfz5pKdzF21m+IyF0MS2nDt8HjO693O5zPogpIynpq/lVcWphAZEshfLu7FuAEdm9xB6WnZhaUsT8k8XJK1cW/OUdOjw4MY4bSJGtEtmo6Rnm3jVF/GGFIzC9myP5f2rYJJjAlrMr0J1+/JZvKLS+nUOoT3bhlORDOsFtuyP5drX1tOblEZz191KqO6x5BdUMrby3cyc9EODuQWc3K7CK4flcC4AR2rLSX1BRXHmk3qbQK1bk/24c4nES0C6NvJJlAViVSHVsG/OrfsOJjPzMU7eC8plfyScgbHt2b6iATO7dWu0YZl2ZtdyBtLdjJr+S6yCkrp3bEl149M4KJ+HY75GRSXlbM/u5g92YWHk649WYXszbb/92QVHm4bWUHEtqssKzdkOJ1VAIIC/EiMPlLq1DXG/k+IDqtXyXF2QSmvL9nBa4tSyCooZUS3KG4/sxvDE6Ma/PyekVfMm0t38uaSnWTkl9AntiU3jkpkTN8O9f5NLCt3kVVYSqaTZGU6ydgh53FFW9Sze7Tl0Ql9farksyaaVFUjq6CE95LSeGPpDlIzC2nXsgVXDu3ClCFxtI3wvQ/4+80H+MvcdaQdKmTK4Djuu7BHlVc+ypYILUvJYH9OMUMS2tCjfcQJn3g2hAVb07luxgqGJUbx2rTBzarqecn2DG56M4mQQH9mXDeY3h2PLpEpKXMxb/UeXlmQzKZ9ucREtGDaafFcObSzT3wvD+QWsSY1mzVpWaxKy2Zt2pFS0aAAP3p3bEn/TpH0czpVJESF1altTE5RKXNWpDJz8Q7SDhUSGxnCtNPimTQ4jlYhDZNg/7zrEDMW7eDztXsxxnBer/ZMH5nA4PjWHvt+5xWXsdcp2ar4vyerED/BrfQpgtjWIQ3Syze/uIx3lu3ipQXJpOcWM7BLa+44sxujT47x+DksOT2PVxem8P7KNIrLXJzVoy03jkpkWGKbBj9fulyGGYt38J8vNxES5M9D4/pwSb8OTeI8rUlVDcpdhh82H+D1JTv5aUs6gf7CmL4duGZ4PKd2jvT6h3wgp4iHPt3Ap2v20jUmjH9e2pehiVFejUmpCu+vTOOe91Yz4dRYHp/Y3+vfF0+Yt3oP98xZTeeoUF6fPoTYY5RsVrTneXlBCj9tSSck0J+Jgzpx/ciERut1XNFRYllKJkuTM1iRknm4M4OfwEntImwCFdeK/p0iOaldhMcS4HKXYf7G/by2MIVlKZmEBvkzcWAnpo1IIMEDTRJKy118sW4fry1MYVVqFhHBAUwZHMc1w+OJaxPqgS3wTUWl5byXlMoLPyazO6uQ3h1bcvuZ3bigd/vjahhujCFp5yFe+imZ+Rv3E+jnx4RTY7lhVALd2jZ++8jt6XncPWc1q1KzuKhvB/4xvg9twrx/UXIsmlTVQXJ6Hm8u3cn7SWnkFpfRJ7Yl1wyPZ2z/jo3e68XlMryzfBf//nITxWUu7jyzGzedkejTVQzqxPT0t1t5/Jst3HlWN+4+72Rvh1NvxhheWZDCI59vZEh8G16+ZlCdOrRs2pfDKwtS+HjVbspchvN7tefG0xMY2MWzvXGNMWxPz2dZim1TuCw5gwNOe6Ho8BYMTWjDKZ3tcB69OzbeALXrdmczY9EOPlm9h5JyW/IxfUQCI7rVvQrrUH4J7yzfxZtLdrIvp4iE6DCuGxHPZad2IsxLY9d5Q2m5i49+2c3zP2wn5WA+3dqGc9vorozt37FO1a1l5S6+Wr+flxYkszo1i8jQQK4Z1oWrh8cTE+HdYR3Kyl28tCCZJ7/ZQquQQB65tC/n927v1ZiORZOqesgvLuOjX3bzxpIdbNmfR2RoIJMHx3HV0C6NcnW0eV8u93+4hp93ZXFa1ygeHt+HRB/tcquUMYb7P1zL7BWp/PPSvlwxtLO3Q6qzcpfh4c82MGPRDi7q24HHJ/Wv94XUgZwiXl+yg7eW7iK7sJRTOkdy46hEzu/dvl5VRsbYBuVLkzNYmpLJsuTMw50u2ka0YFhiFEMT2zAsMYrE6DCvlxYeyC3i7aW7eHvZTg7mlXBSu3Cmj0hg/CmxNe7TLftzmbEohQ9/tm1eR3aLZvrIeEaf1PaE67rvrtxl+GztXp77fhub9uXSuU0ot5zRlcsGxh7zQju/uIz3klJ5dVEKqZmFdIkK5YaRCVw2sJPPtd/cuDeHu+esZsPeHCacEsvfLuntk730Nak6DsYYliZn8saSHXy9YT/GGM7q0Y6rhnUmITqMkCB/QoMCCAn090j9emFJOf/7bisv/5RMRHAAf76oFxNOjfX6SVKpmpSVu7jxjSR+3JLOK9cO4qwe7bwdUq0VlZbzu3dX8cW6fVw/MoE/jenpkR/wgpIy3ktK49WFKezKLKBzm1Cmj4hn4qC4Y5a2uFyGrU4StSwlg2XJmYcbSbdvGcwwJ4EamhhFfFSoz54fikrL+WT1Hl5btIONe3NoHRrIFUM7c/Ww+KN6jLpchh+2HGDGoh0s2HqQFgG2SmraaQknxJAddeFyGb7ddIBnvtvK6rRs2rcM5sbTE7liSOejhoc4kFPEzMU7eHuZTewHdmnNjaMSObdXO6/d8aE2SspcPPP9Np79fhvR4UH8+7J+jD65rbfDOoomVR6yJ6uQd5btYtbyXUf1AqnQIsCP0IokK8if0CB/QgL9D78WfPix/5HpQQGEOq8XlZXz5Ddb2ZVZwMSBnbh/TE+fr1tWyl1+cRlTXlrKtgN5vHvzMPp1ivR2SDXKKijhhteTWLnrEH8a05MbRiV6fB3lLsM3G/bx8oIUVu48RKsQm1xMOy2edi2DcbkMm/fn2iQqOZNlKRmHG5XHRoYwNKHN4dKozm18N4mqjjGGZSmZvLYwhW827sdfhIv6deCqYV3YsCeHmYt3kHIwn3YtW3DN8HimDums574aVLTle+a7bSxLySQqLIjpIxMY0S2at5fu5ONVeyh1ubigd3tuGJXIwC6NP0TD8ViTlsXdc1az9UAeU4fE8aeLenntlmWVaVLlYcVl5SzadpBD+aUUlJZTWGLviVdYUk6B81dYWnbkcUk5BSVl9n+pfV7VrUQAEmPCeGR8X4Z31Yboqmk6kFvEhOcW2zFvbh1B5yjfbUycmlnAtBnLSc0s5MnJA7ioX4cGX+fKnYd4ZUEyX63fh7+fMLBLazbtyz08rk+n1iE2gXISqebWGHtXRgEzF+9gTlIqecV2+IL+cZFMHxF/XF34T2QrdmTyzHfb+HGLHfi0orPE9BEJTXr8wqLScp6cv4WXfkomNjKE/1zezyfu4qBJlQ8qdxkKS92SrZJySspc9CCEklcAACAASURBVOgQoQ3RVZO3PT2Py55fTJvQID649TRa+2Cpw7rd2Vw3cwXFpeW8fM2gRu9RuyujgNcWpbA0OYN+nVoxNMGWRHVq3bySqOrkFpXy1fr9JESHNblSFF+1Ni2btbuzubBPe5/8ztXXyp2Z3D1nNTsyCph2Wjx/vKCHR0bCry9NqpRSjS5pRyZXvLKMvrGtePuGoT51z7gft6Rz21sriQwNYuZ1g+neTtvtKOXLCkvK+feXm5i5eAcJ0WE8NrGfx3vV1lZtkiotb1VKedSg+DY8NXkAP+86xG9m/0J5dTcPa2TvJaVy/cwVdI4K48PbTtOESqkmICTInwfH9uadG4dSUuZi4gtLePTzjRSVltf8Zi/QpEop5XEX9u3AXy7qxVfr9/OPTzfgrRJxsA17n/52K/e+v4ZhiVHMuXkY7ZrQrTGUUnBa12i++t3pTB4cx4s/JXPJ0wtZm5bt7bB+RZMqpVSDmD4ygetHJjBz8Q5eXZjilRjKyl088NE6Hv9mCxNOjeW1aYOb5b0KlToRhLcI4NEJ/Zhx3WByikoZ/9winvhmCyXVdADzBk2qlFIN5k9jenJR3w48/NlGPlm9p1HXXVBSxk1vrmTW8l3cfmZXHp/Yv1ndo1CpE9WZJ7fl69+ewbj+Hfnft1sZ/+wiNu3L8XZYgCZVSqkG5OcnPD6pP4PjW3P3nNUsS85olPUezCtm6ktL+WHzAR4e34d7z+/R5MZ4UkpVr1VoIE9MHsCLVw/kQG4RS7Y3zrmlJtr7TynV4LIKSrjs+cWk5xbzwa0N20h8x8F8rp2xnP05RTwz9VTO6dV0RnhXStVdVkEJLYMDG/x2Rtr7TynlE+wQBkNoEejPtBkrOJBT5LFll5a7SM0sYGlyBrOX72LC84vJLSpj1o3DNKFS6gQQGRrkM/eH9I2x35VSzV5cm1BmTBvMpBeXcN3MFbx78/Ba3X6ioKSM3YcKScsqZPehQnZnFbLH7fH+nCLcR22IjwplxnVDSGjCI0orpZomTaqUUo2mT2wrnr3yVG54PYnb3v6ZV68dRE5h6eFEKc1JlNyTp4p74VUI8BM6RAYTGxnC8K5RdIoMIbZ1CLGRocS2DqFT6xC95YlSyiu0TZVSqtG9u2IXf/xgLYH+Qmn50eegsCB/YluH0DEyhNjDCZNNljpGhtA2Ihh/HynqV0qdOGrTpkpLqpRSjW7y4M4EBfixbnfOrxKnViGB2lNPKdUkaVKllPKKS0/pxKWneDsKpZTyHG14oJRSSinlAZpUKaWUUkp5QK2SKhG5QEQ2i8g2EbmviumdReR7EflFRNaIyBjPh6qUUkop5btqTKpExB94FrgQ6AVMFZFelWb7MzDHGHMKMAV4ztOBKqWUUkr5stqUVA0Bthljko0xJcBsYFyleQzQ0nncCmjcO6cqpZRSSnlZbZKqWCDV7Xma85q7B4GrRCQN+By4s6oFichNIpIkIknp6en1CFcppZRSyjfVJqmqasCYyiOGTgVmGmM6AWOAN0XkV8s2xrxkjBlkjBkUExNT92iVUkoppXxUbZKqNCDO7Xknfl29dz0wB8AYswQIBqI9EaBSSimlVFNQm6RqBdBdRBJEJAjbEH1epXl2AWcDiEhPbFKl9XtKKaWUOmHUmFQZY8qAO4CvgI3YXn7rReQhERnrzHY3cKOIrAZmAdOMt24qqJRSSinlBbW6TY0x5nNsA3T31/7q9ngDMMKzoSmllFJKNR06orpSSimllAdoUqWUUkop5QGaVCmllFJKeYAmVUoppZRSHqBJlVJKKaWUB2hSpZRSSinlAZpUKaWUUkp5gCZVSimllFIeoEmVUkoppZQHaFKllFJKKeUBmlQppZRSSnmAJlVKKaWUUh6gSZVSSimllAdoUqWUUkop5QGaVCmllFJKeYAmVUoppZRSHqBJlVJKKaWUB2hSpZRSSinlAZpUKaWUUkp5gCZVSimllFIeoEmVUkoppZQHaFKllFJKKeUBmlQppZRSSnmAJlVKKaWUUh6gSZVSSimllAdoUqWUUkop5QGaVCmllFJKeYAmVUoppZRSHqBJlVJKKaWUB2hSpZRSSinlAZpUKaWUUkp5gCZVSimllFIeoEmVUkoppZQH1CqpEpELRGSziGwTkfuqmP6kiKxy/raISJbnQ1VKKaWU8l0BNc0gIv7As8C5QBqwQkTmGWM2VMxjjPmd2/x3Aqc0QKxKKaWUUj6rNiVVQ4BtxphkY0wJMBsYd4z5pwKzPBGcUkoppVRTUZukKhZIdXue5rz2KyLSBUgAvqtm+k0ikiQiSenp6XWNVSmllFLKZ9UmqZIqXjPVzDsFeN8YU17VRGPMS8aYQcaYQTExMbWNUSmllFLK59UmqUoD4tyedwL2VDPvFLTqTymllFInoNokVSuA7iKSICJB2MRpXuWZRORkoDWwxLMhKqWUUkr5vhqTKmNMGXAH8BWwEZhjjFkvIg+JyFi3WacCs40x1VUNKqWUUko1WzUOqQBgjPkc+LzSa3+t9PxBz4WllFJKKdW06IjqSimllFIeoEmVUkoppZQHaFKllFJKKeUBmlQppZRSSnmAJlVKKaWUUh6gSZVSSimllAdoUqWUUkop5QGaVCmllFJKeYAmVUoppZRSHqBJlVJKKaWUB2hSpZRSSinlAZpUKaWUUkp5gCZVSimllFIeoEmVUkoppZQHaFKllFJKKeUBmlQppZRSSnmAJlVKKaWUUh6gSZVSSimllAdoUqWUUkop5QGaVCmllFJKeYAmVUoppZRSHqBJlVJKKaWUB2hSpZRSSinlAZpUKaWUUkp5gCZVSimllFIeoEmVUkoppZQHaFKllFJKKeUBmlQppZRSSnlA806q8tK9HYFSSimlThDNN6na8DH8ty/s+cXbkSillFLqBNB8k6r4URDSGj64EUryvR2NUkoppZq55ptUhbaBCS9Cxjb46k/ejkYppZRSzVzzTaoAEk6HEXfByhmw6TNvR6OUUkqpZqxWSZWIXCAim0Vkm4jcV808k0Rkg4isF5F3PBvmcTjzz9C+H8y7E3L3eTsapZRSSjVTNSZVIuIPPAtcCPQCpopIr0rzdAfuB0YYY3oDv22AWOsnIAguewVKCmDureByeTsipZRSSjVDtSmpGgJsM8YkG2NKgNnAuErz3Ag8a4w5BGCMOeDZMI9TzMlw/iOw/TtY/qK3o1GqaSkvg52LofCQtyNRSimfVpukKhZIdXue5rzm7iTgJBFZJCJLReSCqhYkIjeJSJKIJKWnN/IYUoOmw0kXwjd/g/3rG3fdqno5e+DgVm9HoSozBnb/DF/cB0/0hBkXwpcPeDsqpZTyabVJqqSK10yl5wFAd2A0MBV4RUQif/UmY14yxgwyxgyKiYmpa6zHRwTGPQPBreCDG6C0qHHXr46Wd8D+YD/VH14YBakrvB2RAshMgR//A88MhpfPhKRXIW4IJJxhx37T4UmUUqpatUmq0oA4t+edgD1VzPOxMabUGJMCbMYmWb4lLBrGPw8HNsD8B70dzYmpMAu+/Qc8NQCWvwT9JkFEe5g1GTK2ezu6E1NBJqx4BV49D/43AL5/BMLbwiVPwT1bYMrbcMYfoDQfNn3u7WiVUspnBdRinhVAdxFJAHYDU4ArKs0zF1tCNVNEorHVgcmeDNRjup8DQ2+BZc9Dt3Psc9XwSvJh2Yuw6L9QlA19LoPRD0B0N5tMvXouvDUBrv/G/qCrhlVaCJu/gDVzYNs34CqDmJ5w9t+g7+UQ2fno+TufBq3iYM1s6DfROzErpZSPqzGpMsaUicgdwFeAP/CaMWa9iDwEJBlj5jnTzhORDUA5cK8xJqMhAz8u5/wdUn6yvQFvW2JLsFTDKCuGla/DT/8H+QfgpAvgzD9Bh35H5onqClfMgZkXwzuT4NpPoUW492JurlzlsGOBTaQ2zIOSXIjoAMNuhX6ToV0fW01eFT8/W6q48EnI3Q8R7Ro3dqWUagLEmMrNoxrHoEGDTFJSklfWDcC+dbbNSLdzYMo71f+YqPopL4M178IP/4LsXdBlJJz9V+g8tPr3bP4SZk91PpNZ4F+bglR1TMbAvrWwdg6sfR9y90JQBPQaZ0uc4keBn3/tlpW+GZ4dAuc/CsNva9i4lfKm3H32vrF7VkHefjAu+4ex3ynjcvtf8bqr0uummtddEN3dlgrrxWOTIiIrjTGDjjnPCZtUASx5Dr66Hy5+0vYOVMfP5YKNH8P3/4SDW6DjKTaZSjyzdolr0gz49LdwytUw9mlNdusrKxXWvmdLpdI3gl8AdD8P+k6Eky+EwJD6LffFMwADN//k0XCV8prc/TaB2rvKJlF7foE8Z6Bo8YPQKBB/ey4SP/uHuD13e/3wtIrn/Pp1gD0/Q9te9oK+dRfvbLeqs9okVSd2UcDQW2x7ki8fsCUpMSd5O6KmyxjYNh++fQj2rYGYHjD5Lehxcd0So0HXQc5uW13YqhOMrnIAf1UVY2DrN7D4f7aaDyBuGFz0OPS6FMKijn8d/SbbC5EDm6Btj+NfnvJdpUWw5UvY/q3t/dn70tqXavqqvANHSqD2OglU7l5notgxDRNHQ8cB9oKwfV8ICvN8HNvmw/vT4aXRMOkNSBjl+XUorzixS6rAFvM+Nxwi4+D6+XYEdlU3OxfbZGrXEojsAmc+YEtE6nsCNgY+vh1WvW1Lq069xrPxNjcuF2z6BH56zCa0LTvBwGm2wXmbBM+uK+8APN4DRvwGzvmbZ5etvM/lgp0LbdX9hnlQnAMBwVBWBG26wsjf2cS6KZwn89KPJE4VJVC5FR3XBaJPsslTB7cEqjGr4zK2w6ypkLkdLvgXDL5BS+Z9nFb/1damz2D2FTDit3Du370dTdOxZxV89w971RXe3na7P+Vqz5xwy0th1hTY/j1MnQ0nnXf8y2xuystg3Qew4HE4uNn+6I36PfSd1LA/em9dDumb4DdrbAN21fTtW2cTqXUf2JLioAjoNdZ2TugyAjZ/fiRpbxUHp90Fp15d/2pkT3O57EXdzsVHqvFy0pyJAlHdbOLkXgLVIsKrIQNQlAMf3mhLBAdOgwv/r2kkrCcoTarq4pPf2F5q186DhNO9HY1vS99sxzLa8DGEtIaRv7dXWUGhnl1PcR7MHGNHXJ/2GcSe6tnlN1VlxbDqHTs8xaEd0La3TaYaq3pmzXvw4Q32M4kf2fDrUw0jO812XlgzBw6st+3uup1jE6mTLvz197miiv+nxyB1KYS1hdPusO1RvZWgZGyH1bNg9bu2QwwcSaAqSqA69PONBKo6rnL47mFY+AR0Hg6T3oTwRh4cW9WKJlV1UZIPL55ub7x86yIIbePtiHyLMbbh+aKn7EksMBSG32F7gQW3arj15u6HV8+x4ypd/43nq7OakpICWDkTFj9tqzE6ngqn32uHqWjMEqOSAnisu03ixj3TeOtVx68wCzbOs4nUjoWAgU5DbCLVe0Lt2t0ZAzsX2eQq+XsIjrTDcgy5qXHOm4VZsP5DWDUL0pbbxt+JZ8KAK6D7uQ17PmpI6z6AubfbhvFT34EO/b0dkapEk6q62vMLvHKObVw9cabWbxfl2PG8tn9rr1CzdoF/Cxhyoy2d8kTD59o4uNWO9h3SGq7/+sQbV6woB1a8bHurFhy0nSpOv7v2PSobwke32Grze7b4ThWQqlpZse3AsHaOHbakvNiW5vSb7LS7S6z/stNW2urnzZ9BUDgMvt5ebHl6AN/yMtj+Hax+x47qX15sO8P0n2q3o2UHz67PW/asgtlXQkEGjH/WDpLcnOxYaM9jZ/+1SXZ00aSqPhY8Ad/+3d7OZkDlgeObOZfLtpnY/i1s+xZSl9mRtoPCbe+fbmfZhDOifePHlrocXr/EDlB57Seer2r0RQWZsPR5OxJ9cbatmhl1D3QZ7u3IbFu3N8fbi4/el3o7GlWZy2W/v2vehfUfQVEWhEbbJKrfJFvK6cmEfP96e+5c/yH4B9nOJafdZTsAHY9962zJ+Jo5dvDgkDa2E8yAqbZ6rzle+OYdgDnX2DZiI38PZ/256fe6LMqGb/4GK2fY551Pg+s+b3KfnyZV9eEqh9fH2saOtyw4vqu4piD/oL0C3Dbf/s9Pt6+372t/xLudY6sHfKHx5MZPYc7Vtrpr0puNNzhoxVAFW76AiI4QlWgbhUd1bZi2Grn7bBVf0gx7v72el8Cou237EF/hKocne9sftitmezsa5XJBSZ4tTV7/oW33lr3LVtP3uNiW5iSObvjvTMZ22zZotXNM9J9iE4OorrVfRt4BO8baqlmwfy34BcJJ59tSqe7n+ca5qKGVlcAX99rq/u7nw2UvN91qzU2fwWd320FUh91mh8r58j6Y8EqTu+WVJlX1lZ0Gz58GUd1h+pfgH+jtiDynvBTSVtgkatu3sHc1YOwVYLezoevZ0PUs370NyfKX4fN7bOPYi55o2Csdl8u2P1nwuC3BCwyzSY67sLb2B6NNV9ve6/DjxLp3z87aZdus/fwmuEqhz+W2AXrbnp7bJk/6+s+2JO3uLY1XFdzcGGOr54pzoDjXXtEX57o9z3Ee5ziPK09ze45zLq9oY9RvMvS4yDujdmel2vHSfn4Dyktsaeaou6Fd76rnLy2yFy2rZ9sLGFNuLyL6X2GrwE7U42vFK/DFH+35ZOrsuiWn3pZ3AD6/FzbMtTUMY/8HsQPtBdnLZ9kk646kJjWqvCZVx2Pdh/D+dXDGH+24S03ZoZ1HqvRSfrInYfGHToOd0qizbIlDUylinv+gvQfdWX+B0+/x/PLLS22vqIVP2Mb5Ud3s1Xa/SXbaoRR7RZ653fmfbP9XjMJcIby9k2QlHkm2orpC64Sjqy8PbrPrWvMuILbaeeRvfb+UdN86eGEEjHnMtrNrrjZ/CT/+2/7QH771iNvtSg7fisQc/fio25pUMc1VZpMhV2nNMQSE2FLR4Jb2fwvnf3Cro5+HRtnvtK9cFOUdgCXPwIpXbUnayWNsFXangXY/pCXZdlLrPrAJZUQHmwz2n9ok29w0iB0LbXWgqwwuf81+vr7MGNs7+asHoLTADrUz4rdHF06krrAdkJrYMEaaVB2vj26xP3TXfXnse9b5orSVtgh923zI2Gpfa9nJlkZ1O9u2kQqJ9G6M9WUMfHSz/WzGv2DbV3hCaZEdcHTRf22pUbs+9uq617jaJZzFeTbBqpxsZSbb9iDuWsbapCkwxF6ZBwTDwGvhtDtt8XhT8fwIG/uN33o7kobz2oU2uY4deOS2JIdvU1Jx6xGpNM2v0jT59TS/ACchqkiKWladNAWFN/0qr4JMWP6SLdksyrKdLfL2QcY2mzD2vMRWFSaObjoXd43p0E47luKBDXDuQ7YzgC+2R8pMsbcZS/7BDg9xyf+qv1PJR7fa36jblth7ITYBmlQdr6IceGEkYOCWRfaE1xSkLIA3L7Un7/iRTiJ1jh1B2Be/iPVRVgLvTLRXcVfMsdtYXyX5tv3S4qftib7TYHs1fdL5nttfRTluCZdb4pW3H/pMgGG3N82xaRY9Bd/8Fe78uWlVTdRW7j47gvzo+2H0H70dTdNXnAtJr9mSq1adbIlUr3FN59zqTSX5MPdWOz5gvylwyVMQGOztqCxXuU2Yv3/E1oKc+yAMnH7soV5y98PTA22BxZXvN4nfJk2qPCF1Obx2ge1xMuFFb0dTs/TN8Oq5thj9ui+a93hbRTkwY4ytjrvu87qP61KYZdtoLX0OCjMhfpQd9ynh9CbxBfcJOXvgiV62iL+pV5NXpaIN3+3L7X3hlPImY+x9Ub9/xPbgnPI2tOzo3Zj2rYN5d9qbRJ90gb3XaG1L2xc/A1//CabMgh5jGjZOD6hNUqX3mKhJ3BD7g7Fmtm1n48vy0uHtiXYsqSvmNO+ECuzV7ZXv2fGr3p5oi8hrI/8gzP87/LcvfP+wLZm6/huY9ikknqEJVV207GiT0DXvOu2Gmpn1c+14SJpQKV8gYn+Pprxjq6RfOtO2T/KGsmI7EvxLZ9jmEpe/ZhvT16X5wtCbIfpke5P20qKGi7URaVJVG6PuscMKfPp726vFF5UW2nvl5R2wXdxbd/F2RI2jZQdbdFxWBG9dZttuVCd7N3xxHzzZxzZ073oW3LwArpxjk2dVP/2n2NvlpC73diSelbvfjhzea7y3I1HqaD0usheCgcH2Vl6r3mnc9e9aapvG/PR/thbnjhW2l2ZdL0j9A+HCf9vzx+KnGyTUxqZJVW34B8CEl2zvn49utvXHvsTlgg9vgt0r4bJXbIPaE0nbHvYKKWuXTSxLC4+enpkM8+6Cp/rbkcn7TLAngUmv2/uCqePT8xLb2HhNMxuvatMngIHemlQpH9SuF9z4vW0QPvdWWwW34WM4sNG2OW0IRTl2zKnXzrclS1d9AJe+cHy1Il3PhJ5j7dA1vlpoUQfapqouVs2CubfYLr/jnvWd8au+/rPN8s//Jwy/3dvReM/6ufDeNHsVN+kNWzy+4AlY974dQPCUq2DEb06cUrzG9P71tqfpPVubfk+1CjMvth0Jbl+uVcLKd5WX2c4iS5/jyFhl/tA63nZOiu5uq68rHoe0rt96tnwFn/7OtqMcdiuc+SfPjTGVtQueGWI7B0163TPLbAC1aVPVSENSNxP9p0BOmq1HLsyyt+jw9u1SVrxqE6rBN9jRak9kvcdD7qN2tN4XRtrux4Fhdr+cdqd3bq9zoug/xSavW7+Gnhd7O5rjl5duq/5G3aMJlfJt/gFwwT/hrD/Z+6Qe3GovKA9uto+3f2sHYK0QFmPbMUV3t4lWzEn2f8tOVffWyz9oByBd9z7E9IQb3oBOx8wr6i6yM4z8HfzwT0j+0bZtbaI0qaoLEds7LDTKtq96czxc8W79M//jtfUb2zOp+3lwwb/15A/2Cipvv729w+l/sM+be4N9X5B4pj1Zr3m3eSRVmz6xA3T2GuftSJSqnaAw6DjA/rlzlds2S4eTLeev4p6QFQJCILqbk3A5pVrFuXaw5eJcGP2ATXwaqiR6xF2w6i2bwN2ywHdqgupIq//qa/1c+PBGO9r2VR80frfWfWvtUA9tEuzgpE1oqP9GYYwmmY3ti/sg6VW4Z4v3LjQ85fWxkLPb3kZDjyPVHBkDBRl2GJ6DW5yky3mclcrhqsROQ2Ds040zwv3GT+HdK+H8R2G479W8aPVfQ+o93v5wzL4CXj0frpnbeIMf5uyBtyfZUZevmKMJVVX0h7Dx9Z8My563FxyDrvN2NPWXf9AOKjvyd3ocqeZLBMKi7V/8iKOnlRTY0e6LsqDLiMYb5b7HRbZX9g+PQt/LIbxt46zXg7T33/FIPAOu/cTeZPfV82DPqoZfZ3EuvDPJ3r/vyjneH/hNqQodBthqgzVzvB3J8dn0qe3pq1V/6kQVFGp7Riec3ri3DRKxTVlKC+xYgk2QJlXHK/ZUmP41BIba3kIpPzXcusrL4P3psH8DTHwd2vdtuHUpVVcitmfsrsW1H4jVF62fa+/LqN8vpRpfzEm2c9Gqt+wNt5sYTao8IbobXP+VHUn2rctgwzzPr8MY+PKPtnfVRY9Bdx+/U7k6MfWdaP+vbaKlVQWZ9sKo1zit+lPKW874A4S3h8/vteMwNiGaVHlKy47O/ecGwHvX2t5nnrTkWVjxCpx2Fwya7tllK+UprbvYNhirm+htaw5X/emAn0p5TYsIOPchez/BVW95O5o60aTKk0Lb2AbrXc+GT35jR4j1xA/Lxk/sAJ+9xsE5TbOeWZ1A+k2GjK32hNjUbPjYDppY15tzK6U8q98kiBtm21YVZtU8v4/QpMrTgsJg6izoOwm+fQi+euD4ii/TVsIHN9rB1i59serB2ZTyJb3G2Zt6N7UG6wWZkPyDVv0p5QtEYMx/7LAPPzzq7WhqTX+hG4J/oE2Aht5qbx0w9xYoL637cg7thFmTbbfSKbMgMMTzsSrlaSGRcPIFsPb9+h333rL5c3CVadWfUr6iQ387PMvyl2H/em9HUyuaVDUUPz+44FE46y92lOnZV9ixP2qrMAvenmh/lK58H8JjGi5WpTyt32QoOAjbv/d2JLW34WN7u4yOp3g7EqVUhbP+AsEt4fM/NIl2mppUNSQROP0euPi/9mazb463VQw1KSuBOVdDZjJMedt2MVWqKel2LoS0gTWzvR1J7RRm2QRQq/6U8i2hbWxitXMhrP/Q29HUSJOqxjDoOnvz5T2/wMyL7Ijo1TEGPv2t7dY97lmIH9loYSrlMQFB0GcCbPoMinK8HU3NNn8BrlLodam3I1FKVTZwGrTvB1//BUryvR3NMWlS1Vh6jbPVeFm77G1tDm6rer6fHoNVb8Po++1tP5RqqvpNhrIi23vV122YC63i7GC+Sinf4ucPY/7P3o9zwePejuaYapVUicgFIrJZRLaJyH1VTJ8mIukissr5u8HzoTYDiWfAtE/tEPyvnW9LrtyteQ++fxj6TYEz/uidGJXylE6D7cjkvl4FWJQN27/Tqj+lfFnnYfZCbfHTkLHd29FUq8akSkT8gWeBC4FewFQR6VXFrO8aYwY4f694OM7mo+MpMP0r57Y2lxy5rc3OxfDxbdBlJIz9n57cVdNXcdualAWQvdvb0VRv85dQXqL3+lPK1537EPgH2aGKfFRtSqqGANuMMcnGmBJgNqBnn+NR+bY2S56zvQMju8CUtyCghbcjVMoz+k4EDKx9z9uRVG/DXGgZC7GDvB2JUupYItrbW9hs+RK2fO3taKpUm6QqFkh1e57mvFbZZSKyRkTeF5G4qhYkIjeJSJKIJKWnp9cj3Gak4rY2HU+Br+4H8Ycr34OQ1t6OTCnPieoKnYbYYUV8sTt0UQ5s+9aWUunAukr5vqG3QlR3ey/csmJvR/MrtTmLVFUPVfns+AkQb4zpB8wHXq9qQcaYl4wxg4wxg2JidNwlQtvA1XNh5O/hqg+gTYK3I1LK8/pNggMbpsk8LQAAG3hJREFUYP86b0fya1u+gvJirfpTqqkICIIL/2WHHFryjLej+ZXaJFVpgHvJUyfgqDEBjDEZxpiKlPFlYKBnwjsBBIXCOX+DjgO8HYlSDaPPZeAXCKt9sMH6hrkQ0cGWpimlmoZu50CPi21veR9rr1mbpGoF0F1EEkQkCJgCzHOfQUQ6uD0dC2z0XIhKqSYttA10P8/etsZV7u1ojijOha3fQM+xWvWnVFNz/iNgXPDNX7wdyVFqPJMYY8qAO4CvsMnSHGPMehF5SETGOrPdJSLrRWQ1cBcwraECVko1Qf0mQd4+SPnR25EcUVH111vv9adUk9M6Hkb8BtZ9ADsWejuaw8R4qfHooEGDTFJSklfWrZRqZKVF8NhJcPKFMOFFb0djvXsVpC6H32+0gwsqpZqWkgJ4dgi0aAk3/wT+AQ26OhFZaYw5ZjdhLfNWSjW8wGDoPc6Oru4Lt5koznOr+tOESqkmKSjUVgMeWA9Jr3k7GkCTKqVUY+k3BUrz7f0AvW3r1/YWOlr1p1TT1nMsnHaXHXHdB2hSpZRqHJ2HQ6vOdswqb9vwMYS1tTEppZouETjvH9Chn7cjATSpUko1Fj8/6DfR3mcvd7/34igpsCVVPS/Rqj+llEdpUqWUajz9Jttu0Ove914MW7+2NzXXAT+VUh7WsE3l66i0tJS0tDSKioq8HYpStRIcHEynTp0IDAz0dihNQ8zJ0GGArQIcfrt3YtjwMYRGQ5cR3lm/UqrZ8qmkKi0tjYiICOLj4xGp6u44SvkOYwwZGRmkpaWRkKC3GKq1/lPgy/vgwCZo26Nx111aaMen6jepwbtfK6VOPD5V/VdUVERUVJQmVKpJEBGioqK0ZLWu+lxmbyDujQbr2+bbHoha9aeUagA+lVQBmlCpJkWP13oIbwtdz4K174HL1bjrXj8XQtpA/KjGXa9S6oTgc0mVUuoE0H8KZKfCzkWNt87SQtjyJfS8WKv+lFINQpOqKuzfv58rrriCxMREBg4cyPDhw/noo4/qvbwHH3yQxx57DIC//vWvzJ8/v17LWbVqFZ9//vnh5zNnziQmJoYBAwbQu3dvLr/8cgoKCuodZ03rmzdvHv/617/qvbzRo0dz8skn079/fwYPHsyqVas8EaZqik4eA0HhsOSZxiut2v4dlORBLx3wUynVMDSpqsQYw/jx4zn99NNJTk5m5cqVzJ49m7S0tKPmKysrq9fyH3roIc4555x6vbdykgMwefJkVq1axfr16wkKCuLddz3XTqXy+saOHct99913XMt8++23Wb16Nbfddhv33nvv8YYI1P+z8PV1NWtBoTD6Plty9OlvoTHuQbp+LoS0hoTTG35dSqkTks+Wgf/9k/Vs2JPj0WX26tiSv13S+5jzfPfddwQFBXHLLbccfq1Lly7ceeedzJw5k88++4yioiLy8/OZN28e48aN49ChQ5SWlvLwww8zbpxtAPvII4/wxhtvEBcXR0xMDAMHDgRg2rRpXHzxxVx++eWsXLmS3//+9+Tl5REdHc3MmTPp0KEDo0ePZujQoXz//fdkZWXx6quvMnToUP76179SWFjIwoULuf/++4+Ku6ysjPz8fFq3bg3Azp07mT59Ounp6cTExDBjxgw6d+5c7evvvfcef//73/H396dVq1bMnz//V+srLCwkKSmJZ555hmnTptGyZUuSkpLYt28f//nPf7j88stxuVzccccd/PjjjyT8f3v3H59z9Tdw/HU2Yxsa7ln2pYSvH/l5xSKSL3UjaTMhsdBGUYsa9a0797eGFSJ1z1c8iDbaD98Wm0rl/spiKHPNZT8sZCbGrSFXfo39OPcf1/ZpZr8wrm3ez3+2z69z3td1rs+us3PO55xWrSgoKCAgIICRI0deFW/v3r1ZsGCBsb1p0ybeeecdLl++TJs2bfj0009p0KABGzduZPr06bi7u9O9e3cyMjL46quvCA4O5vjx42RmZuLu7s6aNWt48803iY+P5/LlywQGBjJ58mROnDjB6NGj+eOPP8jLy2Pp0qX06dOHiRMnsnv3bpRSBAQEEBQUhMViYcqUKVy8eJE2bdqwatUqGjduTP/+/enTpw/bt2/Hx8eHGTNm3PiHUPypz1S4dBa2LQQnV3h8rm125FshNwf2f2Nbf9BRpr8QQtwa0lJVQlpaGt27dy/z+M6dOwkPD+f777/H2dmZ9evXk5SUxJYtW5gxYwZaa6N1a8+ePaxbt47ExMRr0snNzWXq1KnExMRgNpsJCAhg5syZxvG8vDx27drFRx99xKxZs6hbty6zZ882WqZGjx4NwNq1azGZTDRv3pwzZ87g7e0NwMsvv8z48eNJTk7Gz8+PadOmlbt/9uzZfPfdd+zdu5cNGzaUmV9xJ06cICEhga+++spowVq3bh2ZmZmkpKTwySefsHPnzlLfx2+//RZfX1s3zKlTpwgJCeHf//43SUlJeHl5sWjRInJycpg8eTLffPMNCQkJZGdnX5WG2WwmLi6OyMhIVq5ciZubG4mJiSQmJrJixQoOHz5MZGQkgwcPxmKxsHfvXkwmExaLhaysLFJTU0lJScHf3x+A8ePHM3/+fJKTk+nSpQuzZs0y8jp79iw//PCDVKiq2qP/DQ+9BD8the/n3Lp8MrbAlXPQcfity0MIccerti1VFbUo3S6BgYEkJCRQt25dAgMDGThwIE2aNAFsXYVvvfUWW7duxcHBgaysLE6ePMm2bdsYPnw4rq6ugK3brKT9+/eTmprKwIEDAcjPz8fT09M4/tRTTwHQo0cPMjMzy4xv9OjR/POf/0RrTWBgIAsWLODNN99k586drFu3DoBx48bx97//HaDM/Q8//DDPPfccTz/9tJF3RXx9fXFwcKBjx46cPGlbdiQhIYFRo0bh4OBAs2bNGDBgwFXX+Pn5ceHCBfLz80lKSgLgxx9/ZN++fTz8sG0yxitXrtC7d29+/vlnWrdubcwBNWbMGJYvX26k5ePjg4uLC2Br6UpOTiYmxjZTt9Vq5eDBgzz44IMEBASQm5uLr68vJpOJ1q1bk5GRwdSpUxk6dCiDBg3CarVy9uxZ/va3vwEwYcIERo0addX7LG4BpWDwe7YZzrd9YGux6vda1eeTFgvObtL1J4S4paSlqoROnToZX/YAS5YsYfPmzUYrSf369Y1jERERZGdnYzabsVgs3H333cacRRU9aq+1plOnTlgsFiwWCykpKWzatMk4Xq9ePQAcHR0rNY5HKYW3tzdbt24t83h5+5ctW0ZISAhHjx7FZDJx+vTpCvMsirHo9RT/WZaIiAgOHz7M2LFjCQwMNK4ZOHCg8V7s27ePlStXVphW8bLQWrN48WIjjcOHDzNo0CD69evH1q1bad68OePGjWP16tU0btyYvXv30r9/f5YsWcKkSZMqfK3F8xJVTCkY+qFtCZvv58DOj6s2/bzLtq6/Dk9CnbpVm7YQQhQjlaoSHn30UXJycli6dKmxr6wn6qxWKx4eHjg5ObFlyxaOHDkCQL9+/Vi/fj2XLl3i3LlzfPnll9dc2759e7Kzs43usdzcXNLS0sqNrWHDhpw7d67M4wkJCbRp0waAPn36EB0dDdgqMn379i13/6FDh+jVqxezZ8/G3d2do0ePVphfafr27csXX3xBQUEBJ0+eJD4+/ppznJycCAkJ4ccffyQ9PZ2HHnqI7du388svvwC29/vAgQN06NCBjIwMo6WuvEH4gwcPZunSpeTm5gJw4MABLly4wJEjR/Dw8OD5559n4sSJJCUlcerUKQoKChgxYgRz5swhKSkJNzc3GjduzLZt2wBYs2aN0WolbgMHBxj2MdzvA9/9F5jDqi7tjHi4bJWn/oQQt1y17f6zF6UUsbGxBAUF8f7779O0aVPq16/P/PnzuXTp0lXn+vn54e3tjZeXFyaTiQ4dbEtudO/endGjR2MymWjZsiWPPHLtRIN169YlJiaGadOmYbVaycvL49VXX6VTp7K7PQcMGMC8efMwmUzGQPW1a9eSkJBAQUEBLVq0ICwsDIDQ0FACAgJYsGCBMSC9vP2vv/46Bw8eRGvNY489Rrdu3bj33nuvya8iI0aMYPPmzXTu3Jl27drRq1cv3NzcrjnPxcWFGTNmsHDhQlauXElYWBhjxozh8uXLAISEhNCuXTs+/vhjHn/8cdzd3enZs2eZ+U6aNInMzEy6d++O1pqmTZsSGxtLfHw8CxYswMnJiQYNGrB69WqysrLw9/enoPBR/rlz5wIQHh5uDFRv3bq18d6I28SxDoxYCWv94MtXoY4LdKuCbte0WKjnBq3733xaQghRDlVRF8ut4uXlpXfv3n3VvvT0dO6//367xCOqzvnz52nQoAGnT5+mZ8+ebN++nWbNmt1UWkVjxtq2bUtQUFAVR3xz5HNbxXJzIHIUZCbAqLCbW1Im7wos/KttXqzhy6osRCHEnUcpZdZae5V3jnT/iSr35JNPYjKZeOSRR/jHP/5xwxUqgBUrVhiTm1qtViZPnlyFkYpqyckZnomCFg9CzEQ4sKnia8py+AfIscpaf0KI20JaqoS4SfK5vUVyrBDuA7+lg9/n0PoGxrjFBcK+DfD6L1CnXsXnCyFEGaSlSghRczm7wbj18B9tIGoM/PrT9V2fnws/fw3th0iFSghxW0ilSghRfbk2gXGxcJcnRIyE43sqf+3hH+DS79L1J4S4baRSJYSo3hreDePjwKURrBkOJ8ufesSwL862aHObx25tfEIIUUgqVUKI6s+tBYzfYJtmYbUvnPql/PPzcyH9K2j3uG3guxBC3AZSqSrB0dERk8lE586d8fb25uzZs1WSbmZmJp07d66StJ577jlatWqFyWTCZDIRGhpaJemWJj4+nh07dhjbwcHBNG/eHJPJRMeOHYmKirpleQtxlSatbC1WugBW+8DvR8o+NzMBLp2BTjLhpxDi9pFKVQkuLi5YLBZSU1Np0qQJS5YssXdIpVqwYIGxJEvRosiVkZ+ff135lKxUAQQFBWGxWIiLi2Py5MnGLOY343rjuhmVWfZHVFNN29kqVlcuQLg3/HG89PP2xYJTffjrf97e+IQQd7TqO6P6N2/C/6VUbZrNusCQeZU+vXfv3iQnJwO2SSiHDRvG77//Tm5uLiEhIQwbNozMzEyGDBlC37592bFjB82bNycuLg4XFxfMZjMBAQG4uroay8EA5OTk8OKLL7J7927q1KnDokWLGDBgAGFhYcTGxpKfn09qaiozZszgypUrrFmzhnr16rFx40ZjMefSREVF8d5776G1ZujQocyfPx+ABg0aMH36dL777js++OADXFxcmD59OufPn8fd3Z2wsDA8PT0JDQ1l2bJl1KlTh44dOzJv3jyWLVuGo6Mjn332GYsXL74qv7Zt2+Lq6srvv/+Oh4cHhw4dIjAwkOzsbFxdXVmxYgUdOnTg0KFD+Pn5kZ+fz5AhQ1i0aBHnz58nPj6eWbNm4enpaaz599lnnxEaGsqVK1fo1asXH39sWwdu4sSJ7N69G6UUAQEBBAUFXRNvdHQ0Z86cISAggIyMDFxdXVm+fDldu3YlODiY48ePk5mZibu7O5GRkZX+HIhqpllnGLcOwofB6mHw3EZo0PTP4/l5kP4ltBsMTi72i1MIcceRlqoy5Ofns3nzZnx8fABwdnZm/fr1JCUlsWXLFmbMmGEs+Hvw4EECAwNJS0ujUaNGfPHFFwD4+/sTGhpqrO9XpKj1KyUlhaioKCZMmGAsxJyamkpkZCS7du1i5syZuLq6smfPHnr37s3q1auNNF5//XWj+y8lJYXjx4/zxhtv8P3332OxWEhMTCQ2NhaACxcu0LlzZ3766Sd69erF1KlTiYmJMSp9M2fOBGDevHns2bOH5ORkli1bxn333ceUKVOMlqmSy+0kJSXRtm1bPDw8AHjhhRdYvHgxZrOZhQsX8tJLLwHwyiuv8Morr5CYmMhf/vKXq9LYtWsX7777Lvv27SM9PZ21a9eyfft2LBYLjo6OREREYLFYyMrKIjU1lZSUFPz9/UuNF+Cdd97hgQceIDk5mffee4/x48cbeZnNZuLi4qRCVRs072Gbu8p6DNb4wsUzfx47sh0unpauPyHEbVd9W6quo0WpKl26dAmTyURmZiY9evRg4MCBAGiteeutt9i6dSsODg5kZWVx8uRJAGN8E0CPHj3IzMzEarVy9uxZY1HecePG8c033wC2hY+nTp0KQIcOHWjZsiUHDhwAbOv7NWzYkIYNG+Lm5oa3tzcAXbp0MVrNwNb9N3LkSGM7Li6O/v3707Sp7T92Pz8/tm7diq+vL46OjowYMQKA/fv3k5qaaryu/Px8PD09AejatSt+fn74+vri61v2F9KHH37IihUryMjI4NtvvwVsLXk7duxg1KhRxnlF6/jt3LnTqOCNHTuW1157zTinZ8+etGrVCoDNmzdjNpt58MEHjbLw8PDA29ubjIwMpk6dytChQxk0aFCZ8SYkJBiV2kcffZTTp09jtVoB8PHxwcVFWi5qjZa94ZlIiBwNn42wdQs631XY9ecKfx1o7wiFEHcYaakqoWhM1ZEjR7hy5YrRqhQREUF2djZmsxmLxcLdd99ttC7Vq/fnxIKOjo7k5eWhtUYpVWoe5c1iXzwtBwcHY9vBwaHcsUDlpens7Iyjo6NxXqdOnYzxWCkpKWzaZFsG5OuvvyYwMBCz2UyPHj3KzC8oKIj9+/ezdu1axo8fT05ODgUFBTRq1MhI12KxkJ6eXmZMRerXr3/Va5gwYYJx/f79+wkODqZx48bs3buX/v37s2TJEiZNmlRmvKW9D0XlUDwvUUu0GQBPr4b/S4bIpyHnD1vXX9tBUNfV3tEJIe4wUqkqg5ubG6GhoSxcuJDc3FysViseHh44OTmxZcsWjhwp58kjoFGjRri5uZGQkADYKmVF+vXrZ2wfOHCAX3/9lfbt299UvL169eKHH37g1KlT5OfnExUVZbSSFde+fXuys7ONLsnc3FzS0tIoKCjg6NGjDBgwgPfff5+zZ89y/vx5GjZsyLlz50rN86mnnsLLy4vw8HDuuusuWrVqxeeffw7YKkh79+4F4KGHHjJaj6Kjo8t8DY899hgxMTH89ttvAJw5c4YjR45w6tQpCgoKGDFiBHPmzCEpKanMeIu/t/Hx8bi7u3PXXXfd4LsqaoT2j8OIT+DoT7DiUbiQLRN+CiHsovp2/1UDDzzwAN26dSM6Oho/Pz+8vb3x8vLCZDLRoUOHCq//9NNPjYHqgwcPNva/9NJLTJkyhS5dulCnTh3CwsKuaqG6EZ6ensydO5cBAwagteaJJ55g2LBrv1jq1q1LTEwM06ZNw2q1kpeXx6uvvkq7du149tlnsVqtaK0JCgqiUaNGeHt7M3LkSOLi4q4ZqA7w9ttvM3bsWJ5//nkiIiJ48cUXCQkJITc3l2eeeYZu3brx0Ucf8eyzz/LBBx8wdOhQ3NzcSn0NHTt2JCQkhEGDBlFQUICTkxNLlizBxcUFf39/CgoKAJg7dy75+fmlxhscHIy/vz9du3bF1dWV8PDwm3pfRQ3RaTjkXoLYF21zWbUbXPE1QghRxSq1oLJS6nHgfwBH4BOtdakDnpRSI4HPgQe11rtLO6eILKh857h48SIuLi4opYiOjiYqKoq4uDh7h1Vl5HNbjaTFQu5FMI21dyRCiFqmMgsqV9hSpZRyBJYAA4FjQKJSaoPWel+J8xoC04DrXPVU1HZms5mXX34ZrTWNGjVi1apV9g5J1FbyxJ8Qwo4q0/3XE/hFa50BoJSKBoYB+0qcNwd4H3gNIYp55JFHjPFVQgghRG1VmYHqzYGjxbaPFe4zKKUeAO7RWn91swFVpjtSiOpCPq9CCCGKVKZSVdq8AMY3iVLKAfgQmFFhQkq9oJTarZTanZ2dfc1xZ2dnTp8+LV9UokbQWnP69GmcnWXBXiGEEJXr/jsG3FNsuwVQfMGthkBnIL5wPqBmwAallE/Jwepa6+XAcrANVC+ZUYsWLTh27BilVbiEqI6cnZ1p0aKFvcMQQghRDVSmUpUItFVKtQKygGcA49EarbUVcC/aVkrFA69V9PRfaZycnIzZtYUQQgghapIKu/+01nnAy8B3QDrwL611mlJqtlLK51YHKIQQQghRE1Rq8k+t9UZgY4l9b5dxbv+bD0sIIYQQomaRZWqEEEIIIapApWZUvyUZK5UNlL+A3s1zB07d4jzEzZNyqhmknKo/KaOaQcqpZihZTi211k3Lu8BularbQSm1u6Ip5YX9STnVDFJO1Z+UUc0g5VQz3Eg5SfefEEIIIUQVkEqVEEIIIUQVqO2VquX2DkBUipRTzSDlVP1JGdUMUk41w3WXU60eUyWEEEIIcbvU9pYqIYQQQojbQipVQgghhBBVoNZWqpRSjyul9iulflFKvWnveETplFKZSqkUpZRFKXXd60WKW0MptUop9ZtSKrXYviZKqf9VSh0s/NnYnjHe6cooo2ClVFbh/WRRSj1hzxgFKKXuUUptUUqlK6XSlFKvFO6X+6maKKeMrvt+qpVjqpRSjsABYCBwDNui0GO01vvsGpi4hlIqE/DSWstEeNWIUqofcB5YrbXuXLjvfeCM1npe4T8qjbXWb9gzzjtZGWUUDJzXWi+0Z2ziT0opT8BTa52klGoImAFf4DnkfqoWyimjp7nO+6m2tlT1BH7RWmdora8A0cAwO8ckRI2htd4KnCmxexgQXvh7OLY/OsJOyigjUc1orU9orZMKfz8HpAPNkfup2iinjK5bba1UNQeOFts+xg2+QeKW08AmpZRZKfWCvYMR5bpba30CbH+EAA87xyNK97JSKrmwe1C6lKoRpdR9wAPAT8j9VC2VKCO4zvuptlaqVCn7al8/Z+3wsNa6OzAECCzs0hBC3JilQBvABJwAPrBvOKKIUqoB8AXwqtb6D3vHI65VShld9/1UWytVx4B7im23AI7bKRZRDq318cKfvwHrsXXdiurpZOHYg6IxCL/ZOR5Rgtb6pNY6X2tdAKxA7qdqQSnlhO3LOkJrva5wt9xP1UhpZXQj91NtrVQlAm2VUq2UUnWBZ4ANdo5JlKCUql84KBClVH1gEJBa/lXCjjYAEwp/nwDE2TEWUYqiL+lCw5H7ye6UUgpYCaRrrRcVOyT3UzVRVhndyP1UK5/+Ayh89PEjwBFYpbV+184hiRKUUq2xtU4B1AEipZyqB6VUFNAfcAdOAu8AscC/gHuBX4FRWmsZKG0nZZRRf2xdFRrIBCYXjdsR9qGU6gtsA1KAgsLdb2EbsyP3UzVQThmN4Trvp1pbqRJCCCGEuJ1qa/efEEIIIcRtJZUqIYQQQogqIJUqIYQQQogqIJUqIYQQQogqIJUqIYQQQogqIJUqIYQQQogqIJUqIYQQQogq8P+BCih22TIWgwAAAABJRU5ErkJggg==\n", "text/plain": ["
"]}, "metadata": {"needs_background": "light"}, "output_type": "display_data"}], "source": ["fig, ax = plt.subplots(1, 1, figsize=(10, 4))\n", "ax.plot([_[0] for _ in scores], label=\"GradientBoostingRegressor\")\n", "ax.plot([_[1] for _ in scores], label=\"RandomForestRegressor\")\n", "ax.set_title(\"Comparaison pour une somme pond\u00e9r\u00e9e de fonctions en escalier\")\n", "ax.legend();"]}, {"cell_type": "markdown", "metadata": {}, "source": ["Ce r\u00e9sultat est attendu car la for\u00eat al\u00e9atoire est une moyenne de mod\u00e8le de r\u00e9gression tous appris dans les m\u00eames conditions alors que le gradient boosting s'int\u00e9resse \u00e0 l'erreur apr\u00e8s la somme des premiers r\u00e9gresseurs. Voyons avec des arbres de d\u00e9cision et non plus des fonctions en escaliers."]}, {"cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [{"name": "stderr", "output_type": "stream", "text": ["100%|\u2588\u2588\u2588\u2588\u2588\u2588\u2588\u2588\u2588\u2588| 25/25 [00:09<00:00, 2.57it/s]\n"]}], "source": ["from sklearn.tree import DecisionTreeRegressor\n", "\n", "scores = experiment([\n", " GradientBoostingRegressor(max_depth=5, n_estimators=100),\n", " RandomForestRegressor(max_depth=5, n_estimators=100),\n", " DecisionTreeRegressor(max_depth=5)\n", "])"]}, {"cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [{"data": {"image/png": "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\n", "text/plain": ["
"]}, "metadata": {"needs_background": "light"}, "output_type": "display_data"}], "source": ["fig, ax = plt.subplots(1, 1, figsize=(10, 4))\n", "ax.plot([_[0] for _ in scores], label=\"GradientBoostingRegressor\")\n", "ax.plot([_[1] for _ in scores], label=\"RandomForestRegressor\")\n", "ax.plot([_[2] for _ in scores], label=\"DecisionTreeRegressor\")\n", "ax.set_title(\"Comparaison pour une somme pond\u00e9r\u00e9e d'arbres de d\u00e9cisions\")\n", "ax.legend();"]}, {"cell_type": "markdown", "metadata": {}, "source": ["Le mod\u00e8le *GradientBoostingRegressor* est clairement moins bon quand le mod\u00e8le sous-jacent - l'arbre de d\u00e9cision - est performant. On voit que la for\u00eat al\u00e9atoire est meilleure qu'un arbre de d\u00e9cision seul. Cela signifie qu'elle g\u00e9n\u00e9ralise mieux et que l'arbre de d\u00e9cision fait du sur apprentissage. De m\u00eame, le *GradientBoostingRegressor* est plus expos\u00e9 au sur-apprentissage."]}, {"cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [{"name": "stderr", "output_type": "stream", "text": ["100%|\u2588\u2588\u2588\u2588\u2588\u2588\u2588\u2588\u2588\u2588| 25/25 [00:15<00:00, 1.58it/s]\n"]}, {"data": {"text/plain": ["[[0.8775118863156427,\n", " 0.8658450142103171,\n", " 0.8606599637847404,\n", " 0.8364389493877071],\n", " [0.8688453584981832,\n", " 0.8702540086892945,\n", " 0.8637637833529082,\n", " 0.8473494773500022]]"]}, "execution_count": 19, "metadata": {}, "output_type": "execute_result"}], "source": ["scores = experiment([\n", " RandomForestRegressor(max_depth=5, n_estimators=100),\n", " GradientBoostingRegressor(max_depth=5, n_estimators=100, learning_rate=0.05),\n", " GradientBoostingRegressor(max_depth=5, n_estimators=100, learning_rate=0.1),\n", " GradientBoostingRegressor(max_depth=5, n_estimators=100, learning_rate=0.2),\n", "])\n", "scores[:2]"]}, {"cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [{"data": {"image/png": "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\n", "text/plain": ["
"]}, "metadata": {"needs_background": "light"}, "output_type": "display_data"}], "source": ["fig, ax = plt.subplots(1, 1, figsize=(10, 4))\n", "ax.plot([_[0] for _ in scores], label=\"RandomForestRegressor\")\n", "ax.plot([_[1] for _ in scores], label=\"GBR(5, lr=0.05)\")\n", "ax.plot([_[2] for _ in scores], label=\"GBR(5, lr=0.1)\")\n", "ax.plot([_[3] for _ in scores], label=\"GBR(5, lr=0.2)\")\n", "ax.set_title(\"Comparaison pour diff\u00e9rents learning_rate\")\n", "ax.legend();"]}, {"cell_type": "markdown", "metadata": {}, "source": ["Diminuer *learning_rate* est clairement une fa\u00e7on d'\u00e9viter le sur-apprentissage mais les graphes pr\u00e9c\u00e9dents ont montr\u00e9 qu'il fallait plus d'it\u00e9rations lorsque le learning rate est petit."]}, {"cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [{"name": "stderr", "output_type": "stream", "text": ["100%|\u2588\u2588\u2588\u2588\u2588\u2588\u2588\u2588\u2588\u2588| 25/25 [00:11<00:00, 2.30it/s]\n"]}, {"data": {"text/plain": ["[[0.8729919074479062,\n", " 0.8153190929633006,\n", " 0.8674320406867211,\n", " 0.8718834705539096],\n", " [0.8442950556922886,\n", " 0.815363804525106,\n", " 0.8474302187940742,\n", " 0.8444000149837192]]"]}, "execution_count": 21, "metadata": {}, "output_type": "execute_result"}], "source": ["scores = experiment([\n", " RandomForestRegressor(max_depth=5, n_estimators=100),\n", " GradientBoostingRegressor(max_depth=1, n_estimators=100, learning_rate=0.05),\n", " GradientBoostingRegressor(max_depth=1, n_estimators=100, learning_rate=0.1),\n", " GradientBoostingRegressor(max_depth=1, n_estimators=100, learning_rate=0.2),\n", "])\n", "scores[:2]"]}, {"cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [{"data": {"image/png": "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\n", "text/plain": ["
"]}, "metadata": {"needs_background": "light"}, "output_type": "display_data"}], "source": ["fig, ax = plt.subplots(1, 1, figsize=(10, 4))\n", "ax.plot([_[0] for _ in scores], label=\"RandomForestRegressor\")\n", "ax.plot([_[1] for _ in scores], label=\"GBR(1, lr=0.05)\")\n", "ax.plot([_[2] for _ in scores], label=\"GBR(1, lr=0.1)\")\n", "ax.plot([_[3] for _ in scores], label=\"GBR(1, lr=0.2)\")\n", "ax.set_title(\"Comparaison pour diff\u00e9rents learning_rate et des fonctions en escalier\")\n", "ax.legend();"]}, {"cell_type": "markdown", "metadata": {}, "source": ["Plus le mod\u00e8le sous-jacent est simple, plus le *learning_rate* peut \u00eatre \u00e9lev\u00e9 car les mod\u00e8les simples ne font pas de sur-apprentissage."]}, {"cell_type": "markdown", "metadata": {}, "source": ["## Gradient Boosting avec d'autres librairies\n", "\n", "Une somme pond\u00e9r\u00e9e de r\u00e9gression lin\u00e9aire reste une regr\u00e9ssion lin\u00e9aire. Il est impossible de tester ce sc\u00e9nario avec *scikit-learn* puisque seuls les arbres de d\u00e9cisions sont impl\u00e9ment\u00e9s. Mais il existe d'autres librairies qui impl\u00e9mente le gradient boosting."]}, {"cell_type": "markdown", "metadata": {}, "source": ["### XGBoost"]}, {"cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [], "source": ["from xgboost import XGBRegressor"]}, {"cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [{"name": "stderr", "output_type": "stream", "text": ["100%|\u2588\u2588\u2588\u2588\u2588\u2588\u2588\u2588\u2588\u2588| 25/25 [00:08<00:00, 2.94it/s]\n"]}, {"data": {"text/plain": ["[[0.8679202687780997,\n", " 0.790334034357459,\n", " 0.8529726388853197,\n", " 0.8635076525988759],\n", " [0.8714386434767272,\n", " 0.8076555688846012,\n", " 0.876320858210121,\n", " 0.8795969068127192]]"]}, "execution_count": 24, "metadata": {}, "output_type": "execute_result"}], "source": ["scores = experiment([\n", " RandomForestRegressor(max_depth=5, n_estimators=100),\n", " XGBRegressor(max_depth=1, n_estimators=100, learning_rate=0.05, objective='reg:squarederror'),\n", " XGBRegressor(max_depth=1, n_estimators=100, learning_rate=0.1, objective='reg:squarederror'),\n", " XGBRegressor(max_depth=1, n_estimators=100, learning_rate=0.2, objective='reg:squarederror'),\n", "])\n", "scores[:2]"]}, {"cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [{"data": {"image/png": "iVBORw0KGgoAAAANSUhEUgAAAlsAAAEXCAYAAACat4H7AAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4xLjEsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy8QZhcZAAAgAElEQVR4nOydd3gVxdeA35MCoYWW0ElABAIELFQFBUEFpIgoTVABKf78RMECIoqIil0soKDSq0hRehFBsYAKCEgSegmQkIT0ntx7vj92gUtISCghIPM+zz7Z3Wlnys2ePXN2RlQVg8FgMBgMBkP+4FbQAhgMBoPBYDD8lzHKlsFgMBgMBkM+YpQtg8FgMBgMhnzEKFsGg8FgMBgM+YhRtgwGg8FgMBjyEaNsGQwGg8FgMOQjRtkyGP4jiMhuEWlV0HIUFCKyUUQG2Oe9RWStS1hzEdknIoki0kVEyovILyKSICIfZclnuIjMFJFr7v+jiFQTERURjwIo+y4R2XO1yzUY/gtcc/9MDIb8RkQeFZG/7QdvmIisEpEWBS3X5aKq9VR1Y0HLcS2gqnNU9X6XW2OBCapaXFW/BwYBUYC3qr5wOpKItAduB/qpqjM/ZCtIhelyUNVNqlq7oOVw5XptS8ONh1G2DDcUIvI88AkwDigP+AFfAA8WpFy5cSM/TK5Q3f2B3VmugzTLqs6qukpVe6qqI5/luaa4VuskIu4FLYPBcCUwypbhhkFESmJZOP5PVRerapKqZqjqMlV9yY5TWEQ+EZET9vGJiBS2w1qJyDF7minCtop1EZEHRGSviESLyCsu5Y0RkYUi8q09XbVNRG5xCX9ZRA7YYUEi8pBLWF8R+U1ExotINDBGRGqIyE8ickpEokRkjoiUcklzWETutc+b2Na7eBE5KSIfu8TrbE85xtpTb3Wy5PGiiOwUkThbdq8c2vO0jJ/bcUNEpI1LeCURWWq3y34RGegSNl1E3nK5biUix7LIMUJEdgJJ2SkDInKfXWaciEwAJItsv9rnB4CbgGW2NXMe8AQw3L6+V0TcXPrjlIgsEJEydvrT1pMnReQo8JN9v5mI/G634w5xmcK12/VNu30SRGStiPjYwb/Yf2Pt8u8QkZtF5Ge7LlEi8m12bZ5NG5QUkSn2WDwuIm+dVlDyOF7OaeML9X8OfZTjWBHrdxIm1u9ogN2GN+dSn+ki8qWIrBSRJOAeEekgItvtsRwqImNckpzXlnY+/UUkWERiRGSNiPjnpT0NhnxDVc1hjhviANoBmYDHBeKMBTYD5QBf4HfgTTuslZ1+NOAJDAQigblACaAekArcZMcfA2QAj9jxXwQOAZ52eDegEtZLTw8gCahoh/W1yxoCeABFgJuB+4DCtmy/AJ+4yH4YuNc+/wN4zD4vDjSzz2vZ5dxnyzQc2A8UcsnjT1uuMkAw8FQObXVaxmF2Xj2AOKCMHf4zltXQC7jVbqs2dth04C2XvFoBx7LU5R+gKlAkm7J9gHiXth1myzLARbZfs2ubHMofavd7Fbt9JwPz7LBqgAIzgWJ2X1QGTgEP2P13n33ta6fZCByw27uIff1ulvw8XMqfB4yy8/ICWuTQ5uekBb63ZS2GNWb/BAbbYXkZL+e08YX6P4c+yiluOyAc6zdRFJhly31zLr/R6VhjqLlLW7QC6tvXDYCTQJcLtGUXrDFdB+u38yrwe0H//zHHjX0Yy5bhRqIsEKWqmReI0xsYq6oRqhoJvAE85hKeAbytqhnAfKyH/qeqmqCqu7Gmqhq4xN+qqgvt+B9jPTyaAajqd6p6QlWdqvotsA9o4pL2hKp+rqqZqpqiqvtVdZ2qptmyfQy0zKEeGcDNIuKjqomqutm+3wNYYeeTAXyIpQzc6ZL2M1uuaGAZlqKUExFYD/AMuw57gA4iUhVoAYxQ1VRV/Qf4Jktb5sZnqhqqqinZhD2ANQ14um0/wXq4XyqDgVGqekxV07AU5UeyWNTGqGUNTQH6ACtVdaXdf+uAv225TjNNVffa8Rdw4XbMwJrarGS316+5CSwi5YH2wFBbrghgPNATII/jJbs2vpj+zylud7v+u1U1Get3lFd+UNXf7HZNVdWNqrrLvt6JpZjmNO7B6st3VDXY/q2PA2411i1DQWKULcONxCnAJ7spKRcqAUdcro/Y987koWf9eU4/oE66hKdgWZJOE3r6RC2H62On8xORx0XkH3saKhYIxFLezktrxy8nIvPt6aJ4YHaW+K48iWVVCRGRv0SkY3b1s2UKxbLUnMZVaUnOUp+sHFdVV7+n0+1VCYhW1YQsYa7l5EboBcIqcW7bai7xc8MfWOLSF8GAA8uvLzt5/IFup+PbaVoAFV3iXEw7DseaBv1TrCne/nmU2RMIc5FhMpaFK6/jJbs2uxi5c4p7Tv/kUE5OZB33TUVkg4hEikgc8BQ5j3uw2uVTlzaJxmrbixl7BsMVxShbhhuJP7Cm+bpcIM4JrH/Wp/Gz710qVU+fiLWUQBXghP2W/TXwDFBWVUsB/+Lid4Q1PeLKO/a9BqrqjWVdEbJBVfepai+sB+97wEIRKUaW+omI2DIev8T6VbbzOM3p9joBlBGRElnCTpeThDW9dJoK2VXjAuWGcW7biuv1JRAKtFfVUi6Hl6q6totmiT8rS/xiqvpuHso6r16qGq6qA1W1EpZl5ovc/JtsGdIAHxcZvFW1nh2el/FyoTa+HMKwxvppLqZvsso0F1gKVFXVksAkztYjO/lDsaZSXfumiKr+fhEyGAxXFKNsGW4YVDUOy99qoliO7UVFxFNE2ovI+3a0ecCrIuJrOzSPxrIIXCoNRaSrbU0bivVw3IzlY6NYfkyISD8sy9aFKAEkYjkDVwZeyimiiPQREV/bchVr33ZgTWd1EJE2IuIJvGDLdKkPonLAs3Y7dsPyk1mpqqF2nu+IiJeINMCyts2x0/0DPCAiZUSkAlbbXAwrgHoubfss2StseWUS8PbpqSa7/y/0hepsoJOItBURd7uOrUSkygXSnCYScGI57WOX180lbQzW2Mjxi0gAVQ0D1gIfiYi3WE7+NUTk9BRbnsdLPrAA6CcidUSkKNbv6FIpgWUlTRWRJsCjLmHntSVWX44UkXpw5iOCbpdRvsFw2Rhly3BDoaofA89jOc1GYr0FP4PlaAzwFpbvzU5gF7DNvnep/IDlJxWD5a/U1fZvCgI+wrK2ncRyAP4tl7zewFoDKg5L2Vh8gbjtgN0ikgh8CvS0/V/2YFk4PsdaZ6oT0ElV0y+xfluAmnZebwOPqOopO6wXlgPzCWAJ8Lrt2wSWw/QOLCfrtUCevr47japGYX1g8C7W9HBNcm+/C/EplvVkrYgkYCnETS9QfijWciGvcHYcvUQe/qfaPkxvA7/ZU13NgMbAFru/lgLPqeqhPMj9OFAICMIaYws5O5V5MePliqKqq4DPgA1Yzup/2EFpl5Dd08BYu19GYylyp8s5ry1VdQmWNXe+PX36L5Zvm8FQYMi57hYGg+FKYX+ifrOq9iloWfIDEemL9fXfdb8grCF/EWt5kX+BwnrhD1QMhv8kxrJlMBgMhiuOiDwkIoVEpDSWpWmZUbQMNypG2TIYDAZDfjAYa4r1AJb/2f/gzB6eidkcvQtSWIMhPzHTiAaDwWAwGAz5iLFsGQwGg8FgMOQjRtkyGK4AkmWvvyuUZxERWSbWvnPfXcm8cyn3LhHZc7XKu56Rs/smetjXq0TkiYKWy2AwXFsYZctgyIJYG0hfztpaV4pHsFYwL6uq+bZOkGTZIFhVN6lq7fwq77+MqrZX1RkFLceVwF4/7E85d3N1d7E2OH/R5V5Ne6X6SLE2i94n1ubkVezwViLidPHNOi4iF7N9z6XIfo4SbDAUNEbZMhiuXfyBveYLrv8+16JSYG9L1R94WUQC7NsvYi24Oh7AVtK3YK2ldpu9Un1zLKd41yVBTqhqcVUtbt9/UkQutJODwfCfwihbhhsSEakkIovst/FDIvKsfb8d1kKVPey38B05pL9NRLaJSIKIfIu1wbRreEc5u+/h7/YK6qfDRthv9wkiskdE2mST/xtYCzieluNJe4XwV0XkiIhEiMhMESlpxz/9Jv+EiBwVkSgRGeWSn7uIvCIiB+xyt4pIVRH5xY6ywy6nh22JOOaSto6IbLTrsltEOruETReRiSKyws53i4jUsMNERMbbssaJyE4RyXaVfLFW+Z4iImF227wlIu52WF8R+VVEPhSRGLu/clykMqe+tcOa2JaZeBE5KSIfu4S1sPsqVkRCxVpHDBHpICLb7TShYq2fllPZG0VkgMt1fxEJtuVeIy6bIdv99X8isg9rE/Ls8vtORMLt9vtFzq6K3sy+7+4S9yER2Wmfu4nIy3Z/nxKRBSJSJre6ZkVV/8XawHqKWGtlvQL0d9kfdAzwm6o+r6rH7DQRqvqJqs7PIc9DWLsL1HWR506x9vCMs//e6RJWSUSWiki0iOwXkYEuYTn15+lxHWuP6zuyk8VguGqoqjnMcUMdWC8ZW7GUmUJYW30cBNra4WOA2RdIXwhrU+VhWBsBPwJkAG/Z4bcDEVgrkLsDT2CtlF4YqI212nglO241oEYO5ZwjB5aVYb8tb3GsFcFnueSjWPstFgFuwVqtu44d/hLWivi1sfaVuwVrehI73c0u5bQCjtnnnnaZr9j1bg0kALXt8OlYG/02ATywtuOZb4e1tdu5lF1mHaBiDnX9HmsT5WJYWwD9ibW/HUBfu30H2u35PyxLilxC3/4BPGafFwea2ed+dr162XUuC9zq0h717bwbYK343yVLu3vY1xuxFnoFaw/O/Xa9PbB2LfjdRVYF1gFlgCI5tEt/rO1qCgOfAP+4hB0A7nO5/g542T4firUKfhU77WRgXm51vcB434W1S8AbWcLCgb65/N7OjCf7uibWHpmt7esynN1hwcOWK4az4/Nn4AusF5pbsZaTaJNLf57TL+YwR0EfBS6AOcxxtQ8sJeholnsjgWn2+RgurGzdTZaHPdab+mll60vgzSxp9gAtgZuxFLF7Ac9c5DxHDmA98LTLdW0sJcTD5eFSxSX8T6xtek6X/2AO5VxI2brLfqC6uYTPA8bY59OBb1zCHgBC7PPWwF6gmWv6bMovj6UYFnG51wvYYJ/3Bfa7hBW1Za5wCX37C9Y2Nj7ZxFmSx/HzCTDePj/noc65ytYq4EmXdG5AMuDv0u6tL2LclrLTlLSv3wKm2uclsDb3Pp13MLZCYl9XdBkrea6rS/pv7LJrZbmfCbRzuX4Gay/OROBrl/F0eo/OeDufxUAhO/wx4M8s+f5h93tVrDW6SriEvQNMz6U/z+kXc5ijoA8zjWi4EfEHKtlTKLEiEotluSmfx/SVgOOq6rpI3ZEs+b+QJf+qWNas/VhWhzFAhFiOxZUuolzXco5gPTxd5Q53OU/GetvHLv9AHsvJWmaoWhtau5ZbObcyVfUnYAIwETgpIl+JiHc2ZfhjWVjCXNprMpaF67wy1NoPD87WLWteF+rbJ4FaQIg9XdXRvp9j+4hIUxHZYE9LxgFPAT7Zxc1Glk9d5IjGsvC5tl1oTonFmvp9154KjMeyjuJS9lygq4gUBroC21T19PjwB5a4lB2MpbSUv1Bdc5DjLiwr3UysPSRdOcXZvRhR1QmqWgpLIfV0iXdCVUup5dNVCkgBTn9IkHVcw9kxVglrE+qEbMIg5/40GK4pjLJluBEJBQ7Z//xPHyVU9QE7PLeVfsOAyiIiLvf8suT/dpb8i6rqPABVnavWfoL+dlnv5VHuE3Ya1zIzsaa1ciMUqJHHcrKWWVVEXP9X+GFNA+WKqn6mqg2BelgPxZdykC0Nyzpxur28VbXeJch7wb5V1X2q2gtLkXsPWCgixbhw+8zF2hy6qqqWBCZhKU15kWVwFlmKqOrvLnEuNNYexdrs+l6gJJa1htNlq7WZ+RGsTZYfteV0Lbt9lrK9VPV4LnU9BxHxAqZgOcb/D6gtIq57fa7HUvTyjKrG2bJ2sm9lHddwdoydAMqISIlswi7Un2a1bsM1hVG2DDcifwLxYjmqF7EtCIEi0tgOPwlUy6JguPIHlpLzrIh4iEhXLJ+l03wNPGVbREREitlO1iVEpLaItLatEalYb/iO84vIlnnAMBGpLiLFgXHAt5q3rxW/Ad4U6zN9EZEGIlLWpb435ZBuC9b01HAR8RSRVlgPyWydn10RkcZ2G3jaeaSSTV1VNQxYC3wkIt62c3cNEWmZh3pl5YJ9KyJ9RMTXttTF2mkcWL5m94pId7tPy4rIrXZ4CSzrSqqINMFSbPLCJGCki1N7SRG5mCU8SmApoaewpk7HZRNnLvAs1tS261psk4C3xXbIFxFfEXnQDrtQXbMyFjiiqtNti+IgYLyI+NrhY4C7RORjEalsl+WD5aeWLfbY7Qnstm+tBGqJyKO2PD2wnOeXq2oo1hT9OyLiJdaHJk/adbhQf0ZiTV3mNK4NhquKUbYMNxxqfUnVCcvZ9hCW4+83WNYDOPvQOiUi27JJn471Nt8Xy5G3B5YPyunwv7GcuSfY4fvtuGA5K79rlxmO9UZ+Zh2jXJgKzMLyUzmEpbwMyWPaj4EFWEpNPJa1oogdNgaYYU85dXdNZNe1M5b1JArLUflxVQ3JQ5neWIpnDJYF5hTwYQ5xH8dyxA6y4y/EZXoqr+Shb9sBu0UkEWtKrKeqpqrqUSx/sxewpvv+wfqIAOBpYKyIJGA53i/IoyxLsKwt8+1pwH+x2jGvzMRqt+NY7bI5mzjzsHyiflLVKJf7n2JZ49bacm/G8mcjl7qeQUQaYe1vOMilTj8Cy7GmCVHV0z55VbC+aE0AfsOySL3mkl0l+6vARLtOZYDedh6ngI62PKeA4UBHl/r0wrLqnQCWAK+r6jo7LKf+TAbeBn6zx3WzbNrOYLhqmL0RDQaDwWAwGPIRY9kyGAwGg8FgyEeMsmUwGAwGg8GQjxhly2AwGAwGgyEfMcqWwWAwGAwGQz5yzW1+6uPjo9WqVStoMQwGg8FgMBhyZevWrVGq6nuhONecslWtWjX+/vvvghbDYDAYDAaDIVdEJOsOCOdhphENBoPBYDAY8hGjbBkMBoPBYDDkI0bZMhgMBoPBYMhHjLJlMBgMBoPBkI8YZctgMBgMBoMhHzHKlsFgMBgMBkM+YpQtg8FgMBgMhnzEKFsGg8FgMBgKDFUl4aefSNn1b0GLkm9cc4uaGgwGg8FguDHIjIoi7PUxJK5fj2fVqtRYsxpx++/Zgf57NTIYDAaDwXDNE79yJQc7diJp0yZKtGtHRmgoSZs2FbRY+YKxbBkMhv88jsREYmbPxr1sWQr5+VOomj8evr7/yTdog+FaJzMmhvA3xpKwejVe9etT6d13KOTnx/6tW4meM4fiLVsWtIhXHKNsGQyG/zzRM2YQ9fmEc+6JlxeF/Pwo5O+Hp58fhfz9zypi5coZRcxgyAfi160jfMwbOOLj8R02jLJP9kc8LFWkVI8eRE2YQPqRIxTy9y9gSa8sRtkyGAz/aTQ9nZj58ynWogUVxowh/chhMo4eJf3wEdKPHiXt4CESN/6MZmScSSNeXhSqWhVPfz9LAfP3p5C/pZB5lC9/3SlimZGRuBUvjluRIgUtiuEGxREbS/jb44hftozCdevgN3UqXrVrnROnVPduRE2aRMzceZQf+XIBSZo/GGXLYDD8p4lfsxZHZBQL7m9O+dAM2jZoSLnmzc+Jow4HmeHhpB+xFLDTilj64cMk/bIJTU8/E1cKF6aQX1U8/fwpfPPNlB3wJO4lSlztauUZR2wsBzt2wqNiRfxnz8a9eLGCFslwg5GwcSPhr40mMyYGn2eewWfwIMTT87x4nuXK4X3//cQuWYLvc8/iVrRoAUibPxhly3DDoA4HMXPm4v1Aezx8fApaHMNVInrWLOJ9KzExsSz6w25GL91Nk2pl6NCgIu0CK1CuhBfi7o5n5cp4Vq5MsTvvPCe9OhxknjxpKWJHjp5RyDKOHiFxwwYcMTFUHPtGAdUud6K+nIQjIQFHYiLHhw6l6pdfZPugMxiuNI6EBE6+8y5xixdTuFYtqkz6kiL16l0wTek+vYlfuZK45csp3b37VZI0/xFVLWgZzqFRo0b6999/F7QYhv8g8atXc3zoMLw7daLyB+8XtDiGq0DKjh0c7tGTKQ0fJrVDV4a0rsmKXWGs3BXG/ohERKBxtTJ0qF+R9oEVKOftdVH5h48bR8zsOVRfsuS8KZFrgfSjRznQoSOlunTBq0F9wl8bTaluj1Bh7FhEpKDFM/yHSfz1N8JefZXMiAjKDhyIz/89jVuhQrmmU1UOPdQVVKn+/ZLrYpyKyFZVbXShOHlyPBCRdiKyR0T2i8h5E6ki4iciG0Rku4jsFJEH7PueIjJDRHaJSLCIjLy0qhgMl4eqcurrbwCIX7aM1ODgApbIcDWInjkLR5GirKhwG4/fUY3aFUrw/H21+PH5lqwddjfPtq5JTFI6ry/dTdN31tN90h9M/+0QJ+NT85S/79NP41aiBBHvvcu19uIKEPHxeMTTE58hz1C6WzfK/u8pYr9byKnJkwtaNMN/FEdiEmGvjyF0wADcihal2vx5lBs2NE+KFoCIULr3o6Tt2UPK1q35LO3VI1dlS0TcgYlAe6Au0EtE6maJ9iqwQFVvA3oCX9j3uwGFVbU+0BAYLCLVrozo/33SMh0kp2cWtBj/CZK3bCF1927KvfQibiVLEvHx+IIWyZDPZJyMIH7NGn6rdSd+VXxpXK30OeG1ypdg2H21WPd8S9YNu5vn2tQkNiWdMcuCaPbOerpN+p1pvx0iPC5nxcu9VCl8/+9pkn7/g8Sff87vKl0Uydu3k7B6NWX798ezXDkAfJ99lpIPdibyk0+JW7q0gCU0/NdI2vInhx58kNgFCyjTvz/VlyymSIMGeUq7IzSW0OhkAEp27Iibtzcxc+fmp7hXlbz4bDUB9qvqQQARmQ88CAS5xFHA2z4vCZxwuV9MRDyAIkA6EH8F5L7mcCQmkhkejoePD24lS16W6VNV+eGfE7y3OgSHU5n1ZFNqV7h2HXCvB059MwV3Hx9K9+kD4kbE+++TtHkzxZo1K2jRDPlE7LfzUYeD6eUa8fQd/hf8TdYsX4Kh5Usw9N5a7I9IYMXOcFbuCuONZUG8sSyIRv6leaB+RdrXr0DFkud+0Ve6Vy9i5s4j4v0PKN68+TXhD6WqRLz/AR6+vpTt34/fT/xOxWIVqV6yOhXffJOM8JOcGPUqHuXKmd+A4bJxJicT8fF4YmbPxtPfD/85cyh6+215Srv9aAwfr9vLpn1R1KnozcpnW+BWpAilHn6Y6FmzKHcyAs/y5fK5BvlPrj5bIvII0E5VB9jXjwFNVfUZlzgVgbVAaaAYcK+qbhURT2AW0AYoCgxT1a+yKWMQMAjAz8+v4ZEjR65E3a4aaYcOceSxx3FERQEgnp64+/rg4eOLh4/P2cPXBw9f6567jy8ePmVx8zrXR+Sf0FjeWLab7UdjCazsTWRCGmmZTmb0a8ItVUsVRPWue1KDgzn0UFd8n38en0EDcaalcaBdezzKlqXadwuuC58Aw8XhTEtj/z2tOehbnRdu6cOWUfdSvPDFfw+0PyKRVbvCWLErjJDwBAAa2orXAy6KV8JPP3Hs6f+j/KuvUqZP7ytal0shfs1ajj/3HBXfepOktnfSbtEDFHH3ZuXDi/Ep6oMjPp4jvXuTEX4S/zmz8ap17fmbGa4Pkrdt48TIkWQcOUrpxx6j3PPD8rTESNCJeD5et4cfgyMoU6wQjfxLszboJIv+dycN/Utb/oZt2+Hz9NP4Dnkm1/wKkrz4bOVF2eoGtM2ibDVR1SEucZ638/pIRO4ApgCBwB3A00BfLEVsE9D+tJUsO643B/n0Y8c50qcPmp5OuRdewJmYQGZUFJmRUfbfSDKjonBER0M2be1WogQePj44S5clJN2TXSkepHuXpnnjWjRrXJvoitXos3gvMUkZTHmiEU1vKlsAtby+Of7CiyRu3MjNG34i3asYRQq5E7vke8JGjqTyJ+PxbteuoEU0XGFO9+9rdz1FQIfWvNWl/mXneTAykZW7wlixK5zgMMtA38i/NON73EqV0kU42q8/aSEh1FizGveSJS+7vEtF09M50LETboULU/37JTy9djSbTq4AFfyL1WXpIzNxd3Mn48QJDvfoCR4eVJs//z9hPTBcPZypqUR++hnR06fjWbkyFce9TbEmTXJNtz8igfE/7mPFzjC8vTwY3LIGT9xZDQGajlvP/fXK83H3WwE4OngwqUFB1Fy/Hsmjz1dBcKWUrTuAMara1r4eCaCq77jE2Y1l/Qq1rw8CzYDXgc2qOsu+PxVYraoLcirvelK2Mk6e5Eifx3DEx+M/YzpeAQE5xtXMTDKjo3G4KGCZkVGkRUSwL/gIUaFhlE6Np1xGIh5pZ31E3Ly9Kfbhp/T9O43Q6GQm9WnIPQHmn2JeST92jANt21HmiSdI6PsUHT77lXEP1afrrRU51OUhnOlp1Fi+/JqY+jFcGVSVQw8/THRsEo80HsLqYXcTUME794QXwcHIRFb9G87nP+2jQ/1KfNT9FlJDQjj0UFfKPPEE5V8ecUXLuxiiZ87k5Lh3qPr1VyQ3rM29C9rikdyYykVqc9htOh2rPsE7rV8EIDUoiCN9HsPT3x//WbPMGlyGPJGyaxcnRrxM+sGDlOrZg/IvvYRbsQuPnaOnkvlk/V6+336cIp7u9G9RnQF33UTJImf/9772/b98+3coW0a2oXSxQiT+8guhgwZT+eOP8H7ggfyu1iVzpb5G/AuoKSLVRaQQlgN8Vs/Ko1hThYhIHcALiLTvtxaLYlgKWMjFVePaJPPUKY72648jOhq/r7+6oKIFIB4eeJYrh1fduhRv2ZKSXbvyxx2d6F6oOX39H2L9U2OptXYN9Xdsp/bWv6mxdg1+06fhUaYMiUOeYmaddG4uV5yBM/9mxc6wq1TL65/oadPBzY0yTzzO+6v3kJbp5JP1e8lE8H1+GBlHjhK7aFFBi3kOmp7OkT6Pcfz5589ZTNOQN1K2bSMtKJgl1VvQpHrZK65oAdzkW5z/u+dmejXx44d/jnM8NgWvgABKPtyV6FXxeCEAACAASURBVDlzSC8gVwhHfDxRE7+g2J13UqxFCz7c/BVOnPQO6MvsnkPwSm3C8qMz+SHkJwC86tal8ifjSdu7l+NDh56zir7BkB1JW/7kSO8+OFNSqDrlGyqOGXNBRetEbAojF++i9UcbWbEzjAF33cQvw+/hhftrn6NoAfRu5kd6ppOFW48BUKxFCzz9/Iiec/07yueqbKlqJvAMsAYIxvrqcLeIjBWRzna0F4CBIrIDmAf0VctkNhEoDvyLpbRNU9Wd+VCPq4ojNpaj/Z8k48QJqk6eRJEGDZixewafbvuUyOTIXNPvOhZH98l/MGTedryLeDJvYDO+7NOQqmWs1XLdihWjkJ8fxZo1w3/uHArXrEnci8P4pvxJbvMrxZB521jwV2h+V/O6JzMmhthFiyjZqRM7UwuxNugkd9xUltDoFH745wTFW7WiSKOGRE6YiDMpqaDFPUPU5K9I/vtv4leu4tjzz5sH4EUSPWs2zuIlWFi6Hn3uyN/91QbcdRMA32yyPCPKPfcc4ulJxIcf5mu5ORE1eTKO+HjKDX+JmLQY1oQuQRJvY3DzJpQsUoiZD74HGeUZ/ccoDsUcB6D43XdT4fXRJP36K+Fjx16TS1gYrg1S/t3NsaefxtOvKtUXL6J4lp0YXIlISGXM0t20+mAjC7eG8mhTPzYNv4dXHqhD2eKFs00TUMGbRv6lmbPlCE6nIm5ulO7Vi5StW6/75XrytM6Wqq5U1VqqWkNV37bvjVbVpfZ5kKo2V9VbVPVWVV1r309U1W6qWk9V66rqB/lXlauDIzGRowMHkX7wIFUmTqBoo0b8ceIPPvz7Q77Z9Q3tFrXjrc1vcSzh2HlpIxJSeem7HXSe+CuHopJ4t2t9lg9pwR01cvbD8ihTBr/p0ynWtCmxr7/G5+ymeY2yDF+0k6m/HsrPql73xMyeg6amUqZ/P95bHYJP8cJ8/UQj6lb0ZuKG/TgVyr3wAo6oKKJnzixocQHLmT9y0iR+qnI7XzToQuKP6zn+wotG4cojGWFhJKxbx9Z6d1GiVAna1auQr+VVLlWEB2+tzPw/Q4lOSsfD1xefQQNJWPcjSX/+ma9lZyX92HFiZs6iZJcueAUEMHHrVByaQUf/x858HFCngg+vNnkXB+n0WTqEtEzLclq6e3fKPjXYrMFlyJG0g4cIHTgQ95Il8ZsyBY/SpbONF5OUzrurQmj5/kZmbT7CQ7dVZsOLrRj7YGCeFg3u08yfw6eS+f3AKQBKdX0I8fK67peBuL52Uy1gnMnJhD71FKnBwVT+9FOKN29OUkYSY34fQzXvaizqvIhONTqxeN9iOi7pyMhNI9kfs5/UDAdfbNzPPR9s5Pt/jjPorpv46cVW9Gzih7tb7l/CuRcvRtVJX+L9wAPEfPIx70VupF3dcoxdHsTn6/eZN9FscCYnEzNnDsVbt+aPTG/+PBTNs21upnhhD4a0vplDUUks33mCorfdRon77uXUN1PIjI4uUJk1PZ0TI0eSWLg4i5p359BdDzDjti4krF3L8eHD0Uyz5lpuxMydB6pMLHUrPRv7UcjD+he3+9Ru2i9qz7gt4zgQe+CKlvlUy5tIyXAw4/fDAJTp2xePihWJePc91Om8omVdiMjx48HdHd/nniUuLY7F+xfgTKzP0JbnWh963NKQduWHEM8++v3w5pn7vs89h3fnTmYNLsN5ZISFcfTJJ0EEv6lT8Cxf/rw48akZjF+3l7ve38DkXw7Qtl55fny+Je890oAqpS+8x2FMagyjfh3FrKBZtAusQOminszebE3Fu5csSclOnYhbthxHXFy+1O9qYJStPOJMS+PYM8+Qsm07lT94nxKt7wFg/NbxhCWFMbb5WGqVrsWYO8ewqusqetfpzY9Hf+ShpQ9xx9TH+HDjOu682Yd1w1oy8oE6eHtdnEO2FCpEpQ8/oHSfPsTNmMGru77j4VvK89G6vbyzKsQoXFmIXbQYR2wsZZ58kvdWh+BXpig9G/sB0LZeBWqVL86En/bjdCq+Q4fiTEkp8Df6qMlfkRayh4/qd6Vf+1v54tGGrKjdiuXNu5GwajUnRryMOhwFKuO1jDMlhdgFCwgLbEJk0TL0aup3JmzqrqlEpkSycO9CuvzQhX6r+7H68GoyHJdvMaxZvgT31S3PjD8Ok5SWiZuXF+Wef57UoCDifrg6SkvKrl3Er1hBmX598axQgak7Z5FJCnf79qR8NtaED9o/QRX3NuxK/J6Pfl0MWCt3V3rrLYo2bcqJUa+StHnzVZHdcG2TGRPD0ScH4ExIwO+brylUrdo54cnpmXy58QB3v7+BT9fv466aPqwZejef9LyN6j65f3CxOWwzDy99mKUHlvLFP1+AZNC9UVXWBZ88s6Bw6d6PoqmpxC5ekh9VvCoYZSsPaEYGx4cOI+n3P6j49tt4t28PwF/hf/Htnm/pXac3t5U7u4Bb+WLleaDyIPyTxpEW2QZHoQMUq/4FWn4S4Rm7LlkxEjc3yo96Bd+hz5GwbBnP/fQV/RqW56tfDvLKkn9xOI3CBVZ/RU+bRpHbb2edW3lCwhN44f5aZ6wcbm7C/91zM/siElm9O5zCNWpQ6uGuRM+dR/qx86d/rwapwcFETZ7MtlpNOVanET0aVcWvbFE+7HYLE32b8k/7PsSvWMGJkSONwpUDccutN98p5ZvQOqA8lUtZa/2EJ4Wz/uh6etbuyY/dfmRYw2GEJYXx0s8vcf+i+/l8++eEJ4VfVtlPtaxBbHIG821fSu+OHfC6pQGR48fjTE6+7LpdCFUl4r33cS9blrJPDiApI4k5wXPISKjD861aZZtGRJj/yDgKOfyYtvddfj5ofbckhQpR5fPPKOTvx7Ehz5K6d2++ym64tnEkJhE6cBAZx49T9csv8Kp7dvOY1AwHU389xN3vb+C91SHcVrUUy55pwZd9GlKrfO6LcGc4Mvh468cMWjuI4oWKM7zxcBIzEll/dD2PNvXD4VS+tX9PXgEBFGnYkJi5c6+qtfhKYpStXFCHg+PDh5O4YQMVXh9NqYe6AJCckczo30ZTpXgVhtx2ZskxohLTGLl4Jx0//5UD4croFsPY1OtHXmj4AgfjDjJw7UB6r+zN+qPrcerFDxoRweepp6gw9g2SfvuNx7/7gOca+zLvz6MM+/YfMhzX50C8ksSvXkPGiROU7N+fj9btoW5Fbzo1qHROnI4NKnGTTzE+/2k/qorPM88gbm5EfvbZVZfXmj58BUfxErxzcweeu7fmGcWwbb0KDGhRnZGFb+VUz/7EL11G2KhXr9t/OPmFqhIzcxap/jX4rWhVHnNxjF+wZwFOddIjoAdlvMrQP7A/Kx5awcQ2E6lXth5f7/yatova8txPz/H78d8v6XfZ0L80TaqX4ZtNB0nPdCIilB/xMpkREZz6ZsqVrOp5JP70E8l//43vkGdwL16M2UHzSNNEGhR7+IIPvZJeRfmm/aeIKM/99Dzh8YkAuHt74/fVV7h5eRE6+CkyTkbkq/yGa5PTszmpwcFUHj+eoo0bA9Zv7du/jtLqg42MXR5ErfIlWPS/O5jWrwn1q+RtfbnDcYfps6oP0/6dxiO1HuHbjpbRonLxyny//3v8yxbj7lrWcy3TfqaV6f0oGaGhJG3alG91zk+MsnUB1OkkbNSrJKxaTbkRIyjdq9eZsM+3f86xxGOMbT6Wop5FSc908tUvB7jng4189/cx+jevzsaX7qFPM39KepWgb2BfVj28iteavUZMagxDNwyl6w9dWXZgGZnOi/fFKd29O1U++5S0kBA6Tx3L6CZlWbrjBP+bvZXUjBvX8qGqnJoyhUI31+CHwtUIjU5heLvauNm+cbtP7SbDmYG7bd0KDovnx+AIPMuXp8zjjxO/bPlV/+ol6quvSQsJYXrTnvhW8qXrbZXPCR/RPoDb/Uox2Fkf9/6DiPv+e8Jee80oXC4kb/mTtH37WFXrLvx9inHXzT4ApDvSWbRvES2rtKRqiapn4ru7uXN3lbuZ0GYCqx5eRb96/fgn8h8G/ziYTks6MWP3DOLSLs4/5H+tahAWl8oP/1hf+RW9/Ta8H2jPqalTyQi/PMtZTmhGBhEffEihm26i1COPkJKZwtRd08lMrMWwu+/NNf1tFW/muQav4fAMpcfCV868rHlWqkTVyZNwxMUR+tRTOBKvna91DfmPZmZy4sUXSd68mUrvjDvjNhMel8oT0/5ixKJdVCrlxdwBTZk7sBkN/cvkLV9VluxbQvfl3TmeeJxPWn3C6DtGU8SjCG7iRucandkStoWwxDB6N/UjPD6V9SGWsl/i3nvx8PUl+jp1lDfKVg6oKuFjxxL3/ff4PDuEsv36ngnbHrGdOcFzaFnxQTbvLkXfaX/S6K11jFsZQuPqZVgz7G5e61j3vDVECrsXpnvt7ix7aBnv3vUuIsIrv75CxyUd+TbkW9IcaRclY4l776XqN1+TefIkd302kg8aFefH4Aj6T/+LpLQb05k66dffSAsJofjjffl840Ga3VSGlrV8Afj9xO/0XN6TD/+yPst/8NZK+JUpyuc/WR8ZlB04ADdv76u6SXVqcDBRkyaR0KINC4vUYOi9NfFwP/dn6enuxoRHb6eQhxvPFmpIqaeeIm7RYsJfH2MULpvo2bOgZCmmedWmT1P/M8r1msNriE6NpledXjmmrVy8MkMbDmXdI+t49653KVukLB/+/SFtvmvDq7++yr9R/+ZJhla1fAmoUIJJPx/AaU/p+z7/AjidlvN6PhCzYAHphw9T7qUXEQ8PFu5ZSLIjjirSiWY35e0BOKBhZ+4o25Vo9w08teSsFc6rbl2qmDW4bjhUlbDXXydh3Y+Uf+UVSna2VnhatuMEbT/5hb8ORfNml0AW/e9O7rRfavJCXFocL/3yEqN/H02gTyALOy2kjX+bc+J0rtEZRfnhwA+0CShHxZJeZxzlpVAhSvXoQdIvmwpsHbvLwShb2XB6E9fY+d9SduAAfP73P07EprB0xwle+2E7/Ze/iCOjFMs33M5H6/ZyIjaFDg0qMuvJJkzt25gavsUvmL+HmwcdburAos6L+Lz155QtUpa3trxFu0XtmPrvVBLTE/Msa7EmTfCfPQt1ZHLLByP48lZPthyKps+ULcQl33j/HE998w0e5cvzrXddTiWlM6JdACKCqjJh+wQA5u+Zz57oPXi4u/F0qxrsPBbHz3sjcff2xmfQIJI2bSJp85Z8l1UzMjgx8hXcS5bkzertqF2+xHnTnaepVKoI43vcyp6TCYyv3JKygwcT+913hL/5ZoF/HFHQCl/6sWMkrv+Jf2+/B7fChXmkYZUzYXOD51K9ZHXuqHhHrvkUci9Eh5s6MLP9TBZ2WsiDNR5k3ZF19FrRi57Le7Jk3xJSMlNyTC8i/K9VDQ5EJrEu+KSVZ5XKlHniCeJ+WErKrrwpbXnFkZBA1ISJFG3ShOKtWpHuSGfSjilkJlXn2eb3X9SenxMfeJWyHrXYEj+JL37948x9swbXjYWqEvHBh8QtWozP009T5vHHiEvO4Nl52xkybzvVfYqx8rm7eKzZhTd2z8rWk1vptqwb64+s57nbn+Pr+76mQrHzl2WpUqIKTSo04Yf9P+DmBj0b+7FpXxRHTlmW1VLdu4G7OzHz5l+xOl8tjLKVDSc/+5zoadMIa9OZsRVacee7P3Hnuz/x7LztLD40hUz3CNqVH8K0vi3YMfp+1g5ryTtdG3BXTd+LKsdN3GhVtRWz289matup1CxVk/Fbx3P/ovuZsH0CMakxecrHKyCAanPn4laqJNXfHcGUgHR2H4+nx1d/EJlwcday65mUXbtI3rIFr169mfz7UdrVq8BtftZaMD8f+5ldUbsY1nAY3oW8GbdlHKpK19urULlUkTO+W6X79LY+2//oo3x/sFhfH4Zw6PFn2ZUgDLuv1hmLTHa0ql2OZ+65mQVbj/Nzi66UHTiA2HnzOfnW2wXyEEz6808O9ejBgbbtCnTZjJg5c8HNjc+KNaDTLZUoXczaQ21n5E7+PfUvvQJ6XfRm47XL1Oa1O15jfbf1jGo6ijRHGqN/H02b79rw/l/vczjucLbpOtSvSNUyRfhi44EzfVJ28CDcy5bl5LvvXtF+OvX1NzhiYig3fDgiwvf7vyc+4xQl09rTPvDi1hfzdPNkdqfP8XArxMSg0fx+4OwuFWYNrhuHU998Q/TUqZR+9FF8hjzDpn2RtP3kF1buCuOF+2qx8Kk78vSF4WkynZlM/Gci/df0x8PNg5ntZzKg/gDc3dxzTNPl5i4cSzzG1pNb6dG4Ku5uwtwtRwHwLFcO7/vvI3bx4nz/8ORKY5QtIDY5nQ0hEXy4Zg+fD3iNmC+/ZLV/E54s3oJtR2Np6F+aMZ3qMv6x0niU2cTDNR/mo07duKd2OUoWvfw99USExhUa89X9XzGvwzyaVGjC5J2TabuoLZ9t+yxPPl2Fqlal2pw5FL7pJsq/9yqz/U5x5FQyPSb/wfHYnN/G/0uc+mYKbiVKMLPsbaRkOHixbS0AnOpkwvYJVC1RlcfqPsZztz/HtohtLD+4nEIebjzV8ia2HonhjwOncCtcGN8hQ0jdtYuENWvzTdbUkBCiJk2ieIcOvBXnQ2Blb9rWO3/tmqwMvbcWd9xUlteW7ubUowMo068fMXPmcPKdd66awpW6dy+hg5/i6ONPkBl+ksyTJznx4ksF8pWkMymJ2IULiW7YnFCPEvRpdtYxfm7IXIp5FqNzjc4XyOHCFC9UnJ4BPVnceTHT2k6jRaUWzAuZR6fvOzFw7UDWH11/Trt7uLsx6O4a7AiNZfNBSwF1L14c32efJWXrVhLWrrv0yrqQceIE0TNm4N25E0UC65HhzODLf77GkVKVQY3bnjcVnReqeFfivbvfwa1wOP9b/SonXP5vmDW4/vvELFhA5Ecf492hA97DX+b1pbt5bMqfFCvszpKnmzOkzfkuDhfiWMIx+q7uy6Qdk+h4U0e+6/Qd9X1z3xC+jV8binkW4/v931OhpBf31SnPgr9Dz/gil+7dG2d8PHHLl19yXQsEVb2mjoYNG2p+4nQ69UBEgi7466iOWLhD7/1oo/qPWK7+I5brs91f1qDaAbqqxwBduu2oHo9JPpMuNTNVOy/prG0WtNH4tPh8lVFVdX/Mfh3+83ANnB6oT65+UqNTovOULjMhQQ8/0VeDagfo9g8naODo1XrnO+v1YGRiPktcsKQdOqRBAXV039vvac1XVurw73acCVt9aLUGTg/UpfuXqqqqw+nQnst6aqtvW2lCWoKmpGdq47fWaY/Jv6uqqjMzUw907Kj772+rzvT0Ky6rMz1dD3R5SPc0b6Hzftyp/iOW608hJ/Oc/mR8ijZ6a53e8+EGjU9J1/Bx4zSodoCGv/ueOp3OKy7vadLDwvT4K69oUJ26GtKosUZO/kodKSkavWCBBtUO0IhPP8u3snMieu5cDaodoAOHT9GOn206U//I5Ei9deatOm7zuCteZmRypE7eMVnv/e5eDZweqBO3TzwnPCU9Uxu+uVYfm7LlzD1nRoYe6NhJ9917nzrS0i5bhuPDh2tw/Qaafvy4qqou2bdEA6cHav33xmtiasZl5T1m0wcaOD1QW375nianZZ6570xL08OPP6FBgfU18Y8/LquM65n08HA9+fF4Pfz4Exq3anW+/uauFnGrVmtQnbp6ZOBA/edgpN7zwQb1H7Fc31i6W1PSM3PPIAvLDyzXZnOaabM5zXTlwZUXnX70b6O18ezGmpSepJv2Rqr/iOW6eFuoqtrP8Ae76IEHu1wzbQ/8rbnoNjecZSvTqXT47FdeWriTlbvCqFy6CC/eX4uF/lE8teN7it/bhrazvqDTbVWpZK/TAzBpxyQOxh1kzJ1jKFEo9zVELpcapWrw3t3v8WbzN9kesZ1eK3qxJ3pPruncixen6leTKdGuHYW/nsB8/YuU9Ey6TfqD4LD4fJe7oDg1bTri6cm08k0QgaH31QTA4XQw8Z+J1ChZgweqW7vGu4kbo5qN4lTKKb7c8SVenu4MblmDzQej+etwNOLuju+w50k/coTYRYuvuKxRX31FWnAwZV8bzSdbImjoX5pWtfI+BV2uhBef9byNw1FJvLLkX3xHjKB0nz5ET5tGZD5Mfzri44n46GMOtG1H/NJllHn8cWqsXYPPoIG4eXlR6pFHKNmlC1FffkniVfwsW1WJnjUbR80A1lLuHD+S7/Z+R6Yzk14BOTvGXyo+RXwY1GAQq7quotNNnZi0YxJbws76+Hl5utOveXV+2RvJv8etLxrFw4NyL48gIzSUmFmzL6v8lN27iVu6jDJPPI5npUo4nA6+/OcrHKkVeaxBO4rZW/NcKq/eOYya3rcSVXg+T3+38sx4yroGV9q+fZdVzvVGyo4dHH/hRfa3uZdTX31F+pEjHB86lKOPP3Fd79uX+NtvHH/pJbxuuYUlDw6h69d/kprhYO6ApozuVBcvz5yn/M7LKz2RVza9wsubXubmUjezsPNC2ldvf9Eydbm5CymZKaw5vIY7a5Sluk8x5my2phJFhNKP9iItJISUbdsuOu8CIzdt7Gof+W3ZUlVdtztc94THq8NhacWxy5ZrUEAdPTJgYLZvnf9G/au3zLhFR20ale+yZcfOiJ3aekFrbTSrka46uCpPaZyZmRr2xhsaVDtAg597Qe98c402GLNGtx3Jm4XseiIjIkKD6zfQoBdHarWXl+u4FUFnwpbuX6qB0wN17eG156V7/bfX9ZYZt+i+6H2anGZZI/p8s1lVrbenQ4/21j0tWqgjKemKyZoSHKxB9QL12Asv6pRNB9V/xHL9bV/kJeU14ad96j9iuc7847A6nU49MWaMBtUO0JMfj78ib3yOtDSNmjZN9zRpqkG1A/TYiy9pWuix7OMmJ+uBTp11T5OmZ6wt+U3Cpl81qHaAfjriE63/+uozVph0R7re8+09Onjt4HyXISk9STst6aQt57fUyOSz/RibnK71Rq/W/5uz9Zz4RwYN0pCGjTTj1KlLKs/pdOrhx5/QPU2baWa8ZWFfeXClBk4P1Nrj3tOT8SmXXhkXIpMjtfHMFlpn8j36yfqd54SlHz+ue1vcpXtb3aPp4Xm3yF6PONPTNXbZcj3YvbsG1Q7QkIaNNHzcO5p29Kg6MzI0et483dPsDg0KqKMnXn1NM6KiClrkiyL5n380+LbbNeiBTtrtwzXqP2K5Dp2/XWOTL96ivzNip7Zb2E4bzGigE7dP1AzHpVtYnU6ndlzcUR9f+biqqn718wH1H7Fcg8PiVFXVkZSkIY2b6LFhwy65jCsJebBsFbhylfW4GsqWK3Fr12pQ3Xp6+LHH1ZGcfF54ema6PvTDQ3rPt/dobGrsVZXNlcjkSO2zoo8GTg/Uj//+WDMduZt2nU6nRnw+QYNqB+iefgO09durte5rq/S3/Zf2cL9WOfnRxxoUUEef/2ip1n99tcYkWQpzuiNd2y1sp92WdlOH03FeuuiUaL1z7p3ab3U/dTqd+uXG/eo/YrluPxqjqqpJW7dpUO0Ajfzyyysip+v0YfzJSG345lrtOfnSp2McDqf2nbpFa76yUneGxqrT4dATr42+7Ck9p8OhsUuX6r7WbTSodoAe6f+kpuzenW3cWbtn6ahNo9ThdGjqwYMacntDPdituzqvwFRZbhwdNFiD72iutYf/oGOXnZVv1cFVGjg9UH8O/TnfZVBV3Ru9VxvNaqRPrnnynN/luJVBWv3l5XrIZQo/df9+DapbT8PeeOOSyorfsEGDagfoqVmzVdWaEu+4uLPWndxGh3+3/fIqkoUtJ7Zo4PT6WvvT3rpud9g5YSm7d2vwbbfrgc4PamZc3BUt91ogIzpaI7+cpHvvbqlBtQN03/3366mZszQz4Xx3jMy4OA0f944G1QvUkIaNNOqbKVdl/F8uqXv3akiTprrtrnu0yQvz9ZY31uiKnScuOp9MR6Z+teMrvXXGrXr/d/fr1vCtuSfKA1/v/FoDpwfqkbgjGp2YpjVHrdRRS84q/uHvvKtB9QI1/WTBK/xG2cqFhF9+0aDA+nqoe49sf0SqqhO2T9DA6YG64eiGqyZXTqRnpusbv7+hgdMDdfDawXlW/qLnzdOggDq6t1sP7fz2Cq3+8nJ9dckuPZV47f9DyI3MhEQNadRYdz75P/UfsVwnbth3Juy7Pd/l+tCdHzxfA6cH6sqDKzUhNUNveWON9p/255nwo//3fxpye0PNiL58i2DEBEvxjV+3Tr/YYCl2fx26NAvHaaIT0/SOcT9qi/fWa2xSujodDj0+apSlcE2YcNH5Jfz6qx546CENqh2gBx56SBN+/TXbeE6n88xvw9UfLm7NGg2qHaBhY9+8rHrlRtqhQxpUO0CXDxuj/iOW64GIhDNhj618TNstbJetgp1fLNq7SAOnB+qX/5xVzE/GpWjNV1bqyMXnWobC3hirQXXraeq+fVmzuSDOjAzd/0CHc3wJfzz8owZOD9Qab7+l+04m5JLDxTNx2yQNnB6o9T4YrftOnuurmrDpV+v/Z89eV9T6W5CkhOzR46NGaXCDW6wXjX79NH7DBnU6ch9LqQcO6tFBg88oZ/Hr118zPkVZSQs9psEt7tIttzfTJs/M0L5Tt+jJuIu3ioYlhmnfVX01cHqgvrjxRY1Lu3KKd3hiuDaY0UA/3fqpqqoO+3a71n1tlSbYPolphw9rUEAdjfj84v/PXWmMsnUBEjdv0eAGt+iBhx7K8c0s+FSw3jrjVh3xy4irIlNe+TbkW7115q3aflF73Redt3/YcavXaHBgfd37QAd9Z/pGvWnkCg18fbV+/csBTcu4eg+lK03UlKkaVDtAh4yerY3fWndmKik1M1XbLGijj6549IL/8DIdmdptaTdt/W1rTUxP1M9+3Kv+I5brrmOWIpu6f78G1amr4ePeuSw5XacP41LStcGYNfrE1C25J8wDW49Eey8A2gAAIABJREFUa42RK3TAjL/U6XRaCtfLIy/KKpeye7ce6dffelC0bqOxS5fm+IBxOp368d8fa+D0QH3t19e0x7Ie2npBa03OsCzD4e+8q0G1AzR2+fIrUr/sCHvrbQ2qF6htX1t8ZupXVTUoKkgDpwfq9H+n51vZ2eF0OnXELyO0wYwG+mfYWWX95UU7teaoledM72VER2tIo8Z6ZODAiyojev63GlQ7QOPWrj1T5iM/dNPAr1tp/+n547DucDq078qBGjjtFm0xfqbGJp07vXTGsXrAwOvCmpMdzsxMjV+//syHRcG33KonXhutqXv3XlJ+Cb9s0v0PdDijrKXs2XOFJb480iMi9J+WbfTPwNv0/men6pzNRy5JKVx3eJ3eOfdObTy7sX6/7/t8USwHrxusbRa00UxHpv59OFr9RyzX2ZsPnwk/MnCg7mnRosDHnlG2ciB5+3YNvu123d+hQ44Wi3RHuj6y9BFtOb+lxqTE5LtMF8u2k9u05fyW2mR2E/3x8I95SpP4x2YNub2hhvw/e2ceF9P+xvHPaRNarNlVllsx7VJyk0gJudll39dr52bf9/VyiWstSrZQsoSUFEolade+qLTvNdPM8/tjNERStLm/eb9eXmbO+Z7v9znTzDnPeVYtbQqbPJ3OzFhDE6btpT+23qJHIamN9insW/BKSylygCEFjLH86kdoF2pHLBsWvXj//ZvQ67TXxLJh0SG/Q5RbzCbWlgc0/6KfYH/yhg0UxlL9ZrzSd+X8zH3IycqiI48iSN7KhYISa88tffZj/NcZz2j+mmVllPzXX3yF6/Tpbx5XmphESavX8F3NfXUp08amymw5Ho9He332EsuGRTte7CAuj0t+qX4VrDo8NptiLSdRmKYWlURF1do5llOWn0/hWtr0au4SkrdyoftvP7m4NnptJB07nVp9wq4uhexCGnFzBBldNaKMIn7sTmx6ASmudaG998MqjM04f4FClZQp3/NZteYuyy+giP6/U+ykyYLfqWeiJ9+qtXsL+cT8nIW0KrKKs8jAwYh6nR5AlufcqYxb8TpRno2auHw58cpqnrnWUJTl51OmjQ29Mx5CoUrKFGk4kNJPn670nlDG5VFabjEFJmTT/bcpdMErhv59GkUZ+SWVzs1jsynz4iUK76tLoSq9KGXbtlqxjv8sGSkZ9HSAKQX0UqWlG20ruLirC5vLpu3PtxPLhkUT7kyguNy47x/0g9yP5YcEeCd5E4/Ho6F/e9LQvz0Fv4F8Dw/+A8jdu3UmQ3WojrLF8Mc1Hvr06UN+fn51Nj83Lw/RQ0wg0kIW8pcuQVxOrtJx/775F8cDj+PIwCMwlv9+j7GGIK0wDSs8VuBtxlssUF+AheoLIcJUnWBaEhGJbDs7FAcHozQyEvhYGylDUhaZnbtDeaAuuuj3gSSLBVEZmfo4jR8m5+YtpKxfj5PDluBtx154uGIAxEVFUFxWDDNHM3Rr0Q3nTM5Vq6DlJu9NcIl2geMfjrjtw8GxJ1FwXT4ASu2lwUlNRbTpUMgMNUXHfftqLGf6iRPI+Oc4Oh//B1z9ATDY5w79Hq3x79Q+P3LalUJEWGgXgMdhabg6n9+rjLhcvLdaizwXF8itWYPWs2cJxpdlZyPz1L/IvswvCNpq+nS0njO7yr85j3jY9XIXrkVewxSVKZihtBQ2L+KRU8RGUYsLeJHiDZdRLpBrJgdOWhpiR42GaMuWULx2FSLNq18I8XtkXbyEtN27cWHKZniKyMHLyghioiLILsmG8XVj/NHjD2zut7nW1qsJEVkRmHxvMrTbaeOk8UmIMCJYfDkAnhHp8F43CDKS/Lp8PDYbMSPMIdJEAoq3boERqzqDMP3YMWRYn4TC1Stoqq4OIsKU+1MRnJoAheIduL1oQI0Lt9aEwA+BmH5/BkrzlTBFYTM2juhdYX/mufP4cOAAWowbh/bbt9WpLD8LOz4eWXb2yL15E7zCQkhqaIDGTECWpj5SCsuQmluClNwSpOWVICW3GKm5JUjLLwWX9/W9UqqJGBYYdsPs37uhqcTXWXtl2dnIOH4C2VeuQKR5c7T9czFaWlqCEf/5+ow1xSMoATl/LkK39DiE/LkZ4xaMrXE9tkJOIVZ5rIL3e2/M7D0TSzSXQFy07s6llFuKQdcGoX/H/thvuB/2PvHYcCsYjgv1oS3fEsTjIdp0KMTk5KBg/3NZvj8DwzD+RFTlBV1069at9SRO9Th9+vTWefPm1dn8Ik2aQLxLF7SZPw/i7Suvsvwu+x2snllhiPwQLFBfUGey/CxSElIY0X0E0grTYB9mj/DMcAzoPAASohLfPEasTWtIDzJCy4kT0HrWTEgZGkK8Z09kFHMhHhcFqZdPkevkjMwzZ5F3xwXFQUEoS00BcXkQbdnyuzeF+oJ4PLxf8xcKpFtieydj7BqlCuUOfEXhUuglPEl8gj2/70FHqcrb33yJelt1XI+8jojsCPzVfxLsXsYjvYCNYaodIColBV5RIbIdrkDaeDDE2lS/H1hJeDje/2UFGTMztFm4AMfc3uF5TCaOT9JCG6km3zwutTAVZbwySIpJVmsdhmEwQKktXIJS4ByYglGandBMUhzSgwaBHReHLFtbiEpLo4myMjLPX0DyihUo8vOD7CgLdD7+D2SGGEOkybfl4fK42PpiKxzfOWJMt6nISx4KK8e3eBWXhbfJeejcrAeSeY+QW5oLo65GEJWSgmSvXsiyvQhOcjKkhwyplRsw8Xh4b2UF6twV66R1MW9AN/Trzv97XA67DO/33tjZfydaN23902v9CG2atkFLyZawC7ODhIgEtNtpQ75VM9g8j4OMpDh0FPj9ChlRUYi1b49sO3uIycmhKYv1zTk5aWlIXrUaMiZD0Gr6dACAb6ovzrw9g+IPpthobIbf2tVtOZr2zdujuXgzvMx0gn9cMTpJKqNXx0+KeTMtTRCbg+xLl0DsUjTX169TeWoCu4wH35hMhLg8RsrOXSg5fACFb4PxWkEDJ3UssbuNPmxTRHEt4D3uB6fi2bsMRKTlo6SMi5bNJaDSQRYDldpipEYnTO7bFfMGdMMqk98wvk9nJGQV4dLLBNzwT4SMpBiU20tX6AIh0rQppAwHQMZkCErfvUP25cvIc3WFRJcukJCXr0Lq2qOIXYZtt95AZOt6qH54B5GN2zBozrgqu1VURkZxBuY9nIc36W+wTX8bZqnOqrISfG0gJiKGlMIU3Iu9B0sVS6i0b42LL+JRVFoGU1Z7fis2Lhe516/zG1XX4Npcm2zbti1l69atp6sc9D3T10fL11AAEQCiAKytZH9XAO4AXgMIAjDss31qAF4ACAHwFoBkVWvVdzbil3C4HJpwZwIZOBhQZnHdmeZrEx6PR/ah9qRuq07mt8wpJifmh+bJKiilHZdf0OhZh2nT2FX0bMJMijAYQKFKyvx/vXpTtMUoer9xE2VdvUrFYWHE4/xcAcUfJc/tCYUqKdPyuXvJ/J9PxSzzS/Opv0N/mv+o5mn/5a5H11hX2nMvjBTWulDUx8DrspwcCu+rW6M4Gx6bTdGjRlGEfn9+dlN+CSlvvE9LLgdUedzb9Leka69Lvzv8To/jq+ciFhyblEM9N9yjqed8BKVNeBwOJS5dxncV9tOnUCVlSliwsNoxKRwuR1Bgd6jNBlJYe4d+23CPNt56S/EZhXTqYxbnKAcrUrVRpbDMTy6z9JMnKVRJmbIuX67ReXyL8my8C9v/pe7r7gqCejlcDg25PoRmPZhVK+v8DDwej9Y8XUNqtmr0KuUVERFNOfuStHc8qlAgksfjUdyUqRTRT19QxqEyktev/+jGThRsm/lgJqmf708G+12/cuvVFTwej5a4LSHWBXX6bcdJQdbu5/vLy49U5bquT3KL2WS19gzd1RlIoUrK9FxVm3aMXkbjdjrT9PM+tNbxDR15FEFXfOPJI+IDRaTmUW4xu0YhFb6xmWRxwovkrVzI+JAHPQ6tPCSDx+NR3pMnFGViyo/nmjuXSqKja/N0K5BXzKYLXjFksPcRHTeexC8LY/djv8OYnBgyvWFKOnY65JnoWcuSVk1wejCxbFh0NfwqERFtuMWPg8z6mOBVlpPDj7PbuKle5foc1EbMFgBRANEAugGQAPAGQK8vxpwGsPDj614A4j6+FvuofKl/fN8agGhV6zW0snU26CyxbFjVrmfVmPBN8SUDBwPSs9f7qbT3yNQ8mnbOh+StXGjgAXdyexZMuY8eUdrhIxQ/cxaF6/QVKGBh6hoUO9GS0g4dprL82s+G+haxlpMoQH8AKa5xIq/P6lRZB1oTy4ZFwenBNZ6Tw+XQaKfRZHzdmBKys0lp4z1acfVTOn3G2bMUqqRMBS+rF9j+4cSJCgHN2++EkOLaiplzXxKZFUn9HfqT6Q1TGuc8jlg2LNrivYUK2dXP9rJ/GU/yVi507PEnZYrHZlPSmjUUO3kyFfr6VnF0RUrYpTTJaSGxbFjUc/9qUt/mSoceRnwVq7LTJYTk110n7Yv9aPaD2YKbDY/Lpfh58yiMpUpFQUGVLVEj4mfNpgiDAaS5+R4t+qyGVXlWXnXjF+uaAnYBDb85nAZdHUSZxZnkHZX+VVwhEVFRcDCFKqtQ2oEDlc5THB5OocoqlLp3n2BbQFoAsWxY1GOfFV18HluXp/EVuaW5ZHLdlFTP/U59dt+i1C8y2HhcLiWtXMVXsK9crVfZviQtp4iOTF5DwUoqFDDQmCJtHaggr26yJnk8Ht0Lek8DP1ZeH3/q+VfKqGBsaSllnDtP4dp9KLQ3i1J27aKynNqJ3+RxuRQekUB7Tz+gUQtOkOXUPXTRYvbHZJlTPzTn67TX1N+hPw24MuCHrqs/C4/HI4vbFmTpYklERGEpuSRv5UKnn35SVN9v3Ehh6hq19jnWlNpStvoBcP3s/ToA674Y8y8Aq8/GP//4ehgAu++t8fm/hlS2onOiSeuiFi17suyXCxYvJzk/mcY5jyNVG1X6982/P3UeT8LTaNBB/sVj8pmXgoJyPB6PSmNjKcf5DqXu3k2xEy0pVKUXvTMxoaLguv8xFvr7U6iSMv01aUOFTLSckhzSs9ejpW5Lf3hu/1R/Ytmw6Kj/Udp+J4S6rbtL8Rn8CzS3uJgiDQfy60h953MtDg+nUJYqJa1cRUREKTnF1HPDPVp9LfCbx8TlxpHhFUMadHUQJeQlELuMTUf8jpCqjSoNcxxGQR+qp6zweDxa5hBAimt/vGBqCaeM7H2iSev0RGLZsEj76Ca64BVDhaWVWzK5XB6tuPqaeuxdTywbFnkkeAj2lWVn0zujQRRpZPRTQcIlUVEUqqRMTzbsIXkrF3oR/amA5KwHs8j4uvFPFVKsbcIyw0jrohbNfzSfyrhlNPK4Fxnse0KcsopZnslWa7+yXJUTP2s2hffVrXATWfBoAWnY6JH6ducK7XTqi5CMENKw1aTe1mPI+PATSsisqMDw2GyKnzePQpVVGixwOT46ia4PGk2hSsrkv2BZvZWmYJdx6eLzWNLa/pDkrVxokb0/xWVUHoTOycjg18VTVqEIXT3KtLf/ylPALS0ldmoqFYeFUYG3N+XccaHMi5fow9Gj9H7LFkpcspTipkylqGHD6a2OHgUrq3zyRHz2L3Xf/h+6FzyOf0zal7Rp+M3hlJCX8EOfSW1gE2xDLBsWRWXzE27GWHuT4f4nAut9cWgohSopU8b5Cw0iX20pW2MBnP3s/VQAx78Y0+GjizAJQDYA7Y/blwO4BMAVQACAv76xxjwAfgD8unbtWk8fT0XKuGU06e4k6u/Qv0Il6F+RIk6RwO2zwn1FjawiX8Iu49IFrxhS2+pKimtdaP3NoEozcAr9/CjScCCFsVQp0/ZinSqrCQsXUaCWDv22yrFCRt/f/n+Tqo0qRWT9XKr1Os91pHlRk/yTI6jnhntkdeNTn8XsG458a9UD128e/6X7kIhv+u6x/u5XN6ZyUgpSaMj1IWTgYCC4oJTjm+JLQ64PIXVbdToVeKpaCkVBCYcGH/Ig7R2PalQ/J6+YTac8okhn111SPj6aWDYsWvfo1FcKQmWwy7g0/cJz6vWvERk5DCU291OZgKKgtxTGUqX4uXOrVbOoMt5v3Uphqmpkuf8eGR/yEHzHIrMiiWXDojNBZ35o3rrkavhVgWz336aQvJULOQdWrLDPTk2lMA1NSly2vML2fM9n/BvIhQuCbeUulZ77V9Ghhw1XUqD8vFSPrCGNba70PKpi5XRuURHFTp5Mob1ZlO9Zv26nMLfn9EyzH71R6U2vrc83yINzfgmHDrmGk/LG+9Rj/V3a4hT8zczF4rAwips6jUKVlCnKxJRixo+nd8ZD+JavShSnUCVlClXpRRH99CliqBl5Dx9DtkMm0gHTGbRv3HJy2nSYkq7fonwvLyoODf3hop8OYQ6kZqtGk1wmNXhITUZRBmnYatDBVweJiOhWQBLJW7nQs8hP9+rYSZPp3RCTH76+/Ay1pWyNq0TZ+ueLMSsBrKJPlq1QACIAVgOIBdAGQLOPsVuDq1qvoSxb5ZpzeXHGXx0ej0c2wTakZqtGFrctKCH3555KsgpKaYtTcJX1uThZWZQwfwE/JmjxYirLrv2SGeXWjS2jllVwI2UUZZCOnQ6tebrmp9f4UPiBdO11af6j+bTxo5KU9LEpuaBJtenQb8arfek+TMgspB7r71aofvw56UXpNOLmCNKz16OQjMorteeW5goU6Kn3plJi3tdWkC+JTM0j5Y33afyp599VltJyi2nPvTBibX5A8mtvku75MaRqo0qOEY7fXedzikrLyOTUSWLZsGinZ8W4nfKm0enW1jWak4hfpTtMQ5PeLllF8lYuZOMdK9i37fk20rqoVe1m7fUJj8ejVR6rSN1WnV6l+JHRQXcy+yx1vZzyTg+F/vzvNK+sjKLNR37VuHqp21LStOlLv226SenfuHnXB5/i0tTJ4Oh56r7uLl18UdFFWpaXR9GjRlGYugYV+vl9Y6balSnw6GkKUulNT7X0KcyjdurY/QxpucW01jGIFNe6UO/ND+j4k3eVWiN5PB7lurpS3NRpFD9rNiWtWk0pu3ZR+smTlOVwhXJdXanw1SsqiY4mdmYmvYr6QEsuB1CP9XdJ3sqFppx9SY9CUmslfo/H49ERvyPEsmHRn25/CurnNTRL3JaQ4RVDYnPZVMwuI41trhVK9OS4uPDLqTytn84Rn1OfbsQQAF0+ex8DQA7ARAA2n23fBGBNVes1hLIVlxtH2pe0afHjxb+s+/BbPE9+Tv0d+pP+ZX3yTvL+6fnepX2K5zLc/4QeflGfi8fjUcaFCxTKUqVIIyMqDKg6GLymJK9bT0EsNdJceZViPqsRs893H6nZqlFsTmytrGMbbEssGxZdD71HPdbfpY233gr25bm5fTMm5Uv3IRHR6muB1HPDPUrJ+drClFOSQ6OcRpGOnQ4FpH3/s7oTfYf07PVI116XnKKcvvt9vRmQSPJWLrTvizpP5bxLy6e/rr+hnuvvkeJaF5pv50Vjbk0iNVs1uhN957vyVEZWQQlpnRlNvc/1pRexn5R8Ho/Hr+mlrEIF3jX7LpYXr9399y1S2XSfcov5VrOckhzSsdOhjV4bf0jW+iC/NJ/MHM1o8LXBdOHFW5K3ciGPiA8VxnALCylygCHFjB1HPC6Xsm/c4Cvs9z/FjkZkRRDLhkXKh5Z/VZW+IcgvzSfTG6ZkfG0ITb3gQfJWfMs3+zPFnpORQVGmQym8jw4Vh4ZWMdvPwS0ooIA5iylUSZmuGo+l+Niat52pS96l5dEc21ckb+VCfXc9oqu+CTVWjIpKy8jBJ57M/vYkeSsXYm15QFudg6uMAa0p7DI2rfNcRywbFm17vq1RueXd4t0qdHPZfTeUuq27K7iu8kpLKeL33yl+3rx6l606ylZ1imy8AtCTYRhFhmEkPipQzl+MSQAwGAAYhlEBIAkg/aP7UI1hmGYMw4gBMPxo9Wo08IiHzd6bISEigU16mxp1fZgfoV/HfnAY7oB2zdthodtC2ATblCu+P0QPOWnYzuqLCzN1ICrCYO5FP0w554OwlDwA/BIErWfMgMJlezAiooifMhUZZ86AeLyfPhdOaipynZ1xv4sOzH5XgWIbfu2mtMI0XA2/ipHdR0JBVuGn1wEASxVL9GjRA2dC/sYorba46peItLwSAICUkRGaamkh4/hx8IqKBMcQh4P369ZBVEYG7TZuAADEpBfAMSAJU/Xk0V62YhmHQk4hFj1ehLjcOPxt9Dc05TS/K9eIbiPgONIRSi2VsMFrA9Z4rkFuae43x4/S7AzLvl1g7REN9/APgu3+8VmYe9EPxoef4nZgMibodMGdpdrIa3EC0Xmh2D9gP0Z0G1Gjz6ycls2b4OiQzWBEijH/zn7EZhQC4H83OmzbConu3ZC8eg04aWnVmo+4XGTb20NCUws26U1godlJUK/KKcoJxWXFmKQ86YdkrQ+kJKRw0PAgskqy8DLfGu1kJHDSI6rCGJFmzdB2xXKUvH2LnOs3kP73UTRVV4e0qalgzNmgsxBjJFGSqY+5Bt3q+zS+QkpCCvsH7EdGcTraKDhjgWE32PskYMpZH2QVsgEAYq1bo+v5cxCRkkLCnLkojY2tdTlKo6PxduRoiD97gru6ozDwxkV0VehQ6+v8DD3kpHFmWh9cm98PHWSb4i/HIJgd9cST8LTvXo/jMgqx0yUUursfY+3Nt+ARYdcoFl6uG4wt5r3Rra1UrchYwC7AIrdFuBNzB0s0l2CT3iaIiTSOUj8AYNDZAK0kW+F21G0AwCTdruDyCFdeJQAAGAkJtBw/AYWez8BOSGhIUSvne9oYfQp0jwQ/K3HDx23bAYz8+LoXAG/wMxUDAZh8duwU8C1fwQD2f2+t+rZslaf734y8Wa/r1jeF7EJa6b5SEMf1o+UhPufzeC6FtS605HJAhf5pZXl5lLhsOT/NefYc4mRkVDHb90ndt5+ClXuRwQr7CnFIO17sII2LGpSU/2MV3r+Fb4ovsWxYtMv7CHVbd5e2OX9y8ZUH6X+e4ZNubV3BfUhEtORyAClvvP+Vy6eYU0yzHswidVv1Gpd3IOLHGJ4JOkMatho0+Npg8nn/bZdJMbuMzP72JPVtrnTDL5HGWHuTvJVLhczC7OJsGuc8jjQvatKT+Cc1lqcylj1eS6wL6qR34GqFv1dJdDSFaWpR7ERLQY+/qsh79IhClZTp5hFbkrdyoZBkfqIGl8clM0czmnpvaq3IW9dcDrtMLBsWLXA+QPJWLuQfX9HtyeNyKWb0GAr9GORc6P/J0hmTE0OqNqqkenQJzbv4qr5Fr5LyhsGOkY50KyCJem64R/33ulHo+09V/EuiYyhCrx9FGhkROyWlitlqRs4dF3qrpkHean1ozfpzAotnY4bH49HdoPdkuP8JyVu50IR/n1PgF5mLXC6P3MJSafp5vheh+7q7tMjen15GZ9SJ9yWtMI3GOI0hDVsNuvXuVq3PX1vs891HGrYaghiyKWdfku6ux4IwCXZqGoX2ZlXI3q0PIGzXUzUJeQmkY6dD8x/O/8+5DyuDx+PR2aCzpH1Jm1RtVGnZk2X05sOb7x/4HbILS2n3vVBS2XT/K6WLx+NRlsMVClNVo8jfDajgxcvvzFY5Zbm5FKKpRScGW9L+B59cYol5iaRxUYN2vKibxsdrnq4hrYtatMDBlZQ23qugNCUsWkzh2n2Ik5X1yX24YqVgf1hKLilU0qqFXcamRY8XkaqN6g+76soJTg+mETdHkKqNKh16dYhKyypvtRObXkC9Nz8geSsX0t/jViGzML0onUY5jSLtS9r0LKl67WOqQ1phGmlf0qHexy3J9MhTyin6dCPMvXuXnyVVjZ6TcdOmU6ThQDLa+4jGWH9yPz5NfCpoIv4rwOPxaIX7ClK3VSfVPadoru3XSlPhq1f81jdLKmbUrn+2njRstUhh/RXyi2tc9f+4PC7Ndp1NOnY6FJ0TTYEJ2dR31yNS2XSfHgR/UqyKgoMpXLsPRZkNI07mz50Dt7SU3m/bTqFKynRN34yW/uNaoYbZrwC7jEu2n2UuLrb3p7dJOXT6aTQZ7OMrYn12PqLDDyO+KrFRm0RnR9OQ60Oor11f8kqqvPF8Y6HclX4p5BIRET0I5iedfP49S1y+nMJ1+hK3qP5izYTKVhVweVya9WAW6drrUkpB7T1p/QpkFGXQsYBjpH9Zn1g2LJpxfwY9TXz60wpnRn4J7bkXVqnSVRweTlFmw/hd2o/9U+Meaun/nqZQJWUaubzi0+tGr42kdVGLUgtSf0r2b5FakEp97frSzHvzSXGtC+2+9ynupOTdO37fsx07v8o+JCKad/EVsTY/oOzCTwpQGbeMVnmsqlCk72cpZBcKepWNdR5L0dmVF0oMiM+iu0HvKwTLpxWmkfktc9Kx06lWH8macjKQHyzfc/txGnfyeYUbYsqOnd/N7CwOj6BQJWXy3X2E5K1c6PbrT9bL+Q/nk9FVowpZj42dvNI8Mr1hSroXB5L8+qsVLMHlFPj4VKhZl5iXSOq26qR9YjGNtv75uMu6IK0wjQwcDGiM0xgqKSuh1NxiGnncS1DvrfzaUujrS2Fq6hQzeswP1+VjJyVRzNhxFKqkTDuGz6eV9q8qxIn9auQVswWZi/JWLiRv5UJjT3qTc2DyV0lItY1/qj/pX9YnwyuG30zOaWyMvzOexjiNISIiThmX9HY/rlACqPyBJevatXqTSahsVUF56vK1iPr7gzQ2CtmFdDHkIhlfNyaWDYtGOY0i5yjnn755fUvp4hYUULLVWgpVUqa4KVOJnVo9BYlbUkLBuvp00eAP+vfpp7IIsTmxpGarRvt869ZkfP7teWLZsMjS7hypbLovqFxMxK/uXZ6Onev6SWkISswheSsXOvLoU3o+l8elTV6biGXDogtvL9S6nO4J7jTgygDSvqRNl8Mz9qeOAAAgAElEQVQuf1d5fp//nswczaivXV/yS62bbLEiThENujaIhl4bTQprnWm2zSuBsscrLaWY8eMpXEubSmIqd2uXFyv885Q7aW1/SCUcvrIWkxNDLBsWWQfWPLOxoQlODyYNWw3qdWIcrfysaO632PZ8G6nbapLCBvsKT/CNjXJL416fvUTEd1+vuPKaX2/Kzl9gSc1zd6fQ3iyKmzKVuMU1s9jke3pSeF9dClTTJMupe2ibc4ig1tKvTlpuMZ33ihG4yeuah3EPSeuiFo24OaJa2c2NhXJ3fGgG/8H370eRJG/lImiqzePxKHrkHxT9h0W9eayqo2zVrAvlf4T3Be9xyO8QdDvoYmzPsQ0tToPRTLwZpvaainuj72HX77tARFjvtR7Dbw6HfZg9ijhF35+kElpLNcFaM2V4WQ3CAsPueByWhiFHPLHMORKFK9ajw949KA4JQazFKBR4en53vtzbtyGSk4UnGiaY1k9BsN36jTWaiDbBbNbsH5KzukxRmQJFWUV8EL+KIk4Jznt/CvJtu2QJmGbNIDN8OGRMTATbDz2KQItm4pj1uyIA/kPNgVcHcCvqFhaoL8AM1oxal3Ngl4FwHOkInfY62O2zG4vdFiOjOKPSsUn5SZjpOhM5JTk4bXIa2u20a10eAGgq1hTLtZYjqSgS4w0z8TgsDetvvQURgZGQQOcjR8CIiyN52XLwiosrHFuWnY1c5zsQMzXD3bhCjNfpgiZi/F5sV8KvQExEDON+G1cnctclvdv0xmqd1RBpHoa78VfwPqf4m2NTC1NxO+o2mpXqQaFFRxirtKtHSWvGgM4DMEVlCuzC7PA08SkkxUVxaLw61g9Txr3gFIw79QLJOcWQHjgQHffuRZGfH5JXrARxON+dm7hcpB/7B4nz5iNVQgYLDZZCf8YYbBqhUuMef40VORlJzOyvWKHnZF1hH2aPVR6roNJaBRfNLqKzdOc6X7O2GKY4DOIi4oJA+Qk6XSAqwsDB92OgPMOg5eRJKA0PR/Hr1w0pagX+75QtIsLW51tBIGzTb9zd6esLcRFxjOw+Eo4jHXF80HF0aN4Be333wtTRFNaB1sguyf6heVs1l4DV0E9Kl1tYGkz+9sSmYnmInLKBmJwcEufNR9qBA9+84BKXi8RTZxHZojPMpoyApDj/ZhuZHYkHsQ8wWWVynTcdFhcVx3rd9Ugrfo/eKgGw8Y5DbjFfXvH27dHj0UN03L9PMN4vLgseEemYP6C7IGvuROAJ2IXZYYrKFCxSX1RnsrZp2gbWg62xXnc9fFN9McZ5DDwSPSqMicuNw4wHM1DAKcAZ0zNQb6teZ/IAwPBuw9GrdS/459thkVEXXPNLwn7XCACAeMeO6HjgAErfvUPqtu18c/tHcq7fAJWW4omKIQjApL5dAfCzOJ2inWCqYIo2TRum8ezPMkl5EvTbD4RY2/vY5+76zXE2ITbg8rhISeiHOQaKEG3kisUK7RVQaqmETd6b8KHoAxiGwbwB3XF+ug4SMovwx3Ev+MVlQXbEcLTfvAkF7u54v2FDldnKZVlZSJw7DxnW1ghQ0cd8vYVYNMUIfw7qWe/X71JuKaKyo+CW4AbnaGcUcgrrdf2fhUc8HPY7jL2+e2HUxQhnTc6ipWTLhharRsg2kcWgroNwN/Yu2Fw22stKYohKO1zzS0QJh8sfM2IERKSlkW1n38DSfuL/Ttkq5BSCS1ys0F6BTlKdGlqcRoUIIwLDLoawNbPFJbNL0JDTwMk3J2FywwR7fPYguSD5h+atTOkyvZWAY2PWgfljDLLOnUf8lKlgJ309f87DRxBPScKzPmYYrf3p6cs60BrNxZtjRu8ZP3q6NUKvgx5M5E2QwtxFAe8DbLzjBPvEWrcGIyoqeH/oYSTaSElgur48AOBC8AX8G/QvRvccjb90/qrzGwTDMLBUtsTVEVch10wOS54swfYX21HEKUJ0TjRmus4Eh8fBOZNz6N26d53KAvC/V2v6rEFaURpk27/AJN2uOOkRjbPPYgAAUga/o82iRci9fRs5N24AAKisDNmXL6Opri5OJ4likJIcurRqBgCCm1xjLvfwPRiGwf6BO9FUpBXcMg8jIftrC2RGcQZuRN5AK+qHVhLtMUar8VsfJEQlsN9wP0q4JVjvtR484itRRspyuLW4P6QlxWF55iWuvUpES0tLtF2+HHnOd5C2a3cFRbucotevETt6DAr9/HDVcCq2Ko/Cwam6mKInX2fnwOayEZMTA/cEd9iG2GL7i+2Y83AOTG6YQMdOB6OcR2G5+3Js8NqAoY5Dcfbt2R/2AtQnbC4ba5+txYWQC5igNAGHBx6GpJjk9w9shFj0sEBuaa7gQXKKnjyyizi4H5wCgF9KpcXo0ch7+BCcDx+qmKn+YCr7gjckffr0IT8/vzpdg4hAIIgw/3e6Zo2JyYnBhZALcIlxARHBVMEUs1izoNRK6YfnzCpk48yzGNg+j0Mxh4ulYokYeu8sRERF0WHnDoE7jogQMNwC2WlZ4F64AlM1vnIckhmCiS4TsUhjERaqL6yV86wOqYWpGHl7JCTLlJEbNwVeVkaQ/mi5Kud5VAYmnfXB5hG9MOt3RVyLuIYdL3dgqMJQ7DXYC1ER0W/MXjewuWwcf30cNiE2kJeRRx47D6KMKM6anEW3FvVbq2mF+wp4v/fGHYu72HorAfeDU3FkgjpGaXbmWzDnzUfRq1eQd7gMTmISkpcvR8rq7ZgV1QwXZurASEkORIQ/nP5Ac7HmcBjhUK/y1wUu4T5Y+3I+5JtqwWX8uQqK+GH/w7ANtkVe9AosH9Afy4x7NqCkNePmu5vY8nwLlmstx2zVT27+3CIO/nQIwLN3GZjZXwHrzZSRdfgwss6fR5tFC9F26VIA/N9+9iU7pO3fD0auHXbqTIW/RDucmqoNw9/a/rR8HC4HiQWJSMxLRHxePBLyE/j/5yUgpTAFhE/3RdkmspCXlkdXma7oKtNV8JrD4+B00Gl4JXuhZZOWmMmaiQlKE9BMvNlPy1fb5LPzsdx9OXxTfbFMaxlms2b/0l4dLo8LkxsmUG6tjBODT4DHIww65IHWUk3guFAfAMCOj0e06VC0+fNPtP1zcZ3KwzCMPxH1qXLM/6OyJaTmpBamwi7UDtcjr6OorAj9O/XHbNZs9GnX54d/tFmFbJz9qHTJ5HzAnuCraPc+Bi0nT4bcX2uQ6x+A1FmzcNtoKtZarxOss/DxQgRnBOP+6PuQkqidgn7V5ezbszgacBRFCTOxymAkFg3sIdhHRBh76gWSs4vhsWYgHiXcwwavDRjQeQCOGB2BuIh4FTPXLb4pvljvtR4AcM70HORl6s4y8C0S8hLwh9Mf+KP7H1jXdxNmnH+FV3FZODO9D4yU5FCWnY3YUaPBiIlBtGVLcLOzsWHMVrzPL8XT1UYQEWHw/P1zzH80H7t+34WR3UfW+znUBcNtdyEBV7BcczVmq00HAOSU5MDU0RSypI6EiFF4vnYwWjWXaGBJqw8RYY3nGrjFu8HWzBZqbdUE+8q4POy5H45zXrH4vUcb/GOpgeI9O5B7wxFya63QYuw4pGzaiPz7D4D+BljYaQSyRSVxYaYOtLrW3OWVUZwB1zhXxOXGCZSqlMIUgdUNAKQlpAVKlLyMfAWlSraJbJXzv0l/g5OBJ+H93hutJFthFmsWxiuNR1OxpjWWtS5IK0zDQreFiM2Jxfb+22He3byhRaoV/vb/GxdCLuDx2Mdo26wtznjGYNe9MNxfZgCVDvy4t4R581D6Lgo93B6DEak744pQ2RJS6+SW5uJaxDXYhdkhqyQLqm1UMYs1C0ZdjH7YalOudNk/i8K4Ny4YE/UU6PEbckkUvKREiF5xgq5KRwDA6w+vMe3+NKzUXomZrJm1eWrVgs1lY7TzaKTmFoObuBreVkPQTIJfZdk94gNmXniFXaNYaN8hCqs8VkG7nTZODD7RKMz1JWUl4BGvQZ+897/az1faza+jY7NumHj6JaLTC2A/Rw/a8i1RHBiIuClTgbIyMIuWYej7Llhnpoz5ht0BAEvcliAoIwiPxj6ChOivo3xUhV9cJqa4LEQT6XewH34JrDYsHH99HP8G/Qt23EpM0NDB9j9YDS1mjclj52Gc8zgwDIPr5tchLSFdYf81v0RsvBWMji0kcWaKJpru3Yp8V1eIdeiAsrQ0sGcuwLSCHpBsIo5Ls3XxWzvpb6z0bd6kv8FK95X4UPwBUuJSFZQoeRl5dJHuAnkZebRo0uKnLT2BHwJhHWiNFykv0FqytUDpaojfPhEhNCsUrnGucI5yRgm3BIcHHoZ+R/16l6WuiMuNg/ltc6zQXoFZrFnILmRDd48bxvfpjJ0WqgD43QVEmjaFeMeOdSqLUNkSUmeUlJXAOdoZNiE2SMxPhIKMAuaqzcUwxWE/3OKhXOkKvnEXi30uQ4ZThKcDxmLB6R0A+BeQ2Q9nIyYnBvfH3G+wJ0fvZG8seLwApR9M8ZfeIswx6AYigvlxL+QWc7DLsgmWeyyBSmsVnBlyplG6FRqK3NJcDL81HCqtVHB6yGlkFLAx9tRz5BRxcGNBP/RsJ43sa9eQ7XAFduOtYBeShZfr+FadxPxEDL85HHNU52Cp1tKGPpVaZcypx3gnvh0dZJviwtALGOs8Fi1EVBD+ZjTcVw+EfOvmDS3iDxH4IRAzHsyAiYIJ9hns+0qh8Y/PwvxLASjhcHFsbC/0+GcHSsLCkL5sI2a/4aG9jCQuzdYVxOvVhBuRN7DLZxfaN2uPQwMPQaWVSr24zgLSAmAdaA2fVB+0adoGs1mzMfa3sXWudBERwrPC4RrnCtc4VyQVJEGMEYNeRz0s11r+U6EfjZWp96Yil50Lpz+cwDAMVl4LhGtwKnw2GEOqSf21GqqOsiUMWhLyQ0iKSWK80njcsbiDg4YH0US0CTZ4bcDI2yNx690tcHjfT+f+klbNJfDXUGUcPboEvhuPwrnPSAxc+6dgv0+qD16lvsJctbkNaqLv36k/BncdDMm27jjl7Y8SDheuIWkITs7DKD02VnuugKKsIqwHWwsVrS+QbSKLheoL8TLlJZ4lP0Nb6Sa4NEsXEmIimHbeF8k5xWg5fjzkrlzD1bBsjFDtIHCfXYu4BhFGBOOVxjfwWdQ+fw5UQ0GiJVIL02B51xL5nHwkxuhjKKv9L6toAYCGnAYWqi/E/dj7cI7+sqUuoC3fCs5/9odCm2aYfTkI9yb9hbAjdpgewEW3NlK4vkC/xooWm8vGthfbsO3FNui218WVEVfQq3WveotR0mqnhbOmZ3HB9AIUZRWx79U+DLs5DJfDLqOUW1qraxERIrIicCzgGMxvm2O8y3hBfOZ2/e3wmOCBk8Yn/5OKFsAPlI/NjUVQRhAAYLKuPArZXNx+/WPJXHWJ0LIlpFYgIrgnuuPUm1MIywpDJ6lOmKc2D+bdzWslVomIMOX+FHwo+oC7o+42uAspuSAZ5rdGoihHCVZau+Dgm4BiJgFlctZo07QNLgy98MuWJahrODwORjuNBsMwcBzpCHERcYSl5GH8vy8gJ90E1xfo4+7bFGy6HYybi/Sh1bUlisuKYXzdGHod9HBo4KGGPoVah4hgdvQZciUeoaD5bSg064O3/mNxa5E+NH8gTqkxweVxMefhHIRkhuDaiGuVNosvZnOx+sYb3A3iZ5P1VWyFs9P7CEqnVJcPRR+wwmMFgtKDMEd1Dv7U+LPek1K+5FXqK5wIPAH/NH/INZPDXNW5GN1z9E9dw6Kyo/Ag7gE/Fi0vDiKMCPq274uhCkMxqOugX66cw49SwC6A0TUjjOg+Alv6bQERYdgxLwDAvaW/15uCLXQjCql3iAieSZ44+eYkQjJD0LF5R8xRmwOL7hYQF/1xpcszyROL3RZjS78tGPtb4yhEe+rNKZwIPAF20lxwSqXQ9rdzaCEpBVszW7Rv3r6hxWvUuCe4Y6n7UmzQ3YCJyhMBAD4xmZh63hcqHWRQzC6DuKgIXJbwL5g3Im9g24ttsBlqU2cFWBsap8BkLLsSgOmmaXj4qgW6yHTCtQX9GlqsWiG1MBVj74xFx+YdYT/MvtJrARHhzLMYxGYUYYt5L0FNveoS+CEQKzxWoJBTiJ39d8JEweT7B9UTRASfVB9YB1rj9YfXaN+8PeaqzsWoHqOqfV2MyYkRuAijc6MhwohAp50OTBRMYCxvjFaSrer4LBon65+th3uiO56Mf4KmYk1h7xOPDbeC4bhQH9ry9aN0CpUtIQ0GEeFZ8jOcenMKbzPeon3z9pjDmoNRPUfV+ImORzxMdJmIfHY+nEc5N2hW3+eUcksx9PpIfMgvhZhYGVo1F4ftUFt0lena0KI1eogIcx7Owbvsd3AZ7QIZCX720MOQVCyw8wePgL2jVTGxb1cQEcbcGQMGDG6Y3/ilU9aroozLw8CDHsgt4iC/tAxnp/WBca/GWzG+pjxJeIJl7sswvdd0rNZZXWvzEhGuR17HHt896NC8A44aHUXPlo2zTAYR4UXKC1gHWuNN+ht0aN4Bc9XmfvNhNC43jq9gxbviXfY7MGCg3U4bpgqmMJY3FlrPAfik+GDOwznYY7AHI7qNQEFpGXR3PYZp7/Y4PEGjXmQQxmwJaTAYhsGAzgNgP8wep4xPoV2zdtjpsxPDbg6DQ7hDjWIX3BLcEJYVhkUaixqNogUATUSbYGv/9RCRyERTCcKZIWeEilY1YRgGq/usRk5pDs4GnRVsN+ndHgfHqcOgZxuM1OBnEPml+eFd9jtMUp70n1W0AEBMVATzB3RDfmkZurdtjkHKcg0tUq0yqOsgTFCaANtQW3gle9XKnOXxWTte7oBeBz04DHdotIoWwP/e63fUxyWzSzhlfAptm7bF9hfbYX7bHDff3QSHx0FCXgLOBJ3BWOexML9tjhOBJyAtLo11fdfBbZwbLgy9gInKE4WK1kd02uugk1QnOEU5AQCkmohhlFYnuLxNQXYhu4Gl+4TQsiWkXiAivEx5iVNvTiHgQwDkmsphluosjOk5psosHS6PizHOY8ADD7dG3mrw+IvKuPXuFlhtWI36It9Y2eS9CXdj7sLJwgldpLtUOmalx0r4pPjg8bjHjaZ2UV1RwuFi2jlfzPpdEUNZ/z1XdElZCSzvWiKrJAuOIx1/SmFIK0zDSo+VCMoIwlzVuVissbhRXh+qgojglewF60BrBGcGQ1pCGvnsfACARlsNmCqYYoj8ELRr/t+xcNYF1oHWOPXmFFzHuKKDVAeEp+Zh6N/PsGGYCuYOqPvizUI3opBGBxHBN9UXJ9+chH+aP9o0bYOZvWdinNK4Sm+kLjEuWPdsHQ4aHoSpgmkDSCykLvlQ9AEjbo2AQSeDSgPfUwtTMdRxKKb1moaVfVY2gIRCapuo7ChMvDsRfdr1gbWx9Q918vBP88cqj1UoLivGrt93wVjeuA4krT/Kwy5col3Qu01vmCqYCuM+a0BSfhLMbpphscZiLFBfAAAYe/I5MgpK8WTVwDpvVi50IwppdDAMA90OurAZaoPzpufRTbYbDvgdgJmjGWxDbCv0GOPwODgZeBJKLZUwRH5IA0otpK6QayaHmb1n4mH8Q7z+8Pqr/dciroFAmKA8oQGkE1IX9GjZA3/p/AXv9964FHqpRscSERzCHTDHdQ6kJKRwefjlX17RAj6FXew33I/pvacLFa0a0lm6M/q27wunKCdBZ4DJel0Rl1kE7+iv+442BEJlS0iDodNeB+dMz8FmqA16tuyJg34HYXbTDOeDz6OIU4Q70XeQkJ+APzX/FPax/A8zvfd0yDWVw4FXByq0UCnlluJG5A0YdjYUNo3/jzHut3Ew7mqMvwP+RkhGSLWOKeWWYvPzzdjtsxv9O/XH5eGX0b1F9zqWVMivgkUPCyQVJME/zR8AYMbqgJbNxGH/MqGBJeMjvIMJaXC022njjMkZXDK7BOVWyjjifwSmjqY4GnAUam3UYNjZsKFFFFKHNBNvhqVaS/E24y0exD4QbH8Q+wDZpdmwVLZsQOmE1AUMw2Cr/la0lmyNvzz/QiGnsMrxqYWpmH5/Om5H3cYC9QU4NuiYIINViBAAGNx1MJqLN8ftqNsAAElxUVj27QpREQY8XsOHS1VL2WIYZijDMBEMw0QxDLO2kv1dGYZxZxjmNcMwQQzDDKtkfwHDMLWX7yvkP4eGnAb+HfIv7IbZgdWGhdzSXCzTWvafzkATwse8uzlUWqng74C/UVJWAiLC5fDL6CbbDXod9BpaPCF1gGwTWew12IukgiTs9tn9zXF+qX6Y4DIBcXlxOGp0FIs1Fgst3UK+opl4M5gqmOJR/COB8r7GVAknJmvVecxWdfjuN5ZhGFEAJwCYAegFwJJhmF5fDNsI4BoRaQKYCMD6i/1HANz/eXGF/D+g3lYdJ41P4sWkF+jboW9DiyOkHhBhRLBGZw1SClNgF2aHN+lvEJoZCktlS6Gy/R+mT/s+mK82H87RznCJcamwj4hgH2aPuQ/nQkZCBpeHX8agroMaSFIhvwIWPSxQXFaMh3EPAaBRXTuq83jQF0AUEcUQERvAFQB/fDGGAJTbdGUBvC/fwTCMBYAYANVzzAsR8pH/epq/kIrotNfBoC6DcCboDE6+OQkpcSmM7D6yocUSUsfMU5sHLTkt7Hy5E4l5iQD4JSI2em/EXt+9+L3z73AY7oBusnWfwi/k10ajrQYUZBQErsTGRHWUrU4AEj97n/Rx2+dsBTCFYZgkAPcALAEAhmGaA7ACsK2qBRiGmccwjB/DMH7p6enVFF2IECH/NVb2WQk2l43n75/DooeFsJH3/wFiImLYa7AXIowI/vL8C4l5iZh2fxqco52xSGMRjhodhZSEVEOLKeQXgGEY/NHjDwR8CEBCXuMIjC+nOspWZXa4L6PNLAHYEFFnAMMAXGIYRgR8JesIERVUtQARnSaiPkTUp23bttWRW4gQIf9B5GXkYaliCVFGVNAzUch/nw5SHbC131YEZwZj5O2RSMxPxPFBx7FQfaEwPktIjTDvZg4RRqTRWbfEqjEmCcDnpZ074zM34UdmAxgKAET0gmEYSQBtAOgCGMswzH4ALQDwGIYpIaLjNRGSw+EgKSkJJSUlNTlMiJAGQVJSEp07d4a4eONpLfQrsUJ7Bcb+NhbyMvINLYqQesREwQTT06fDL80Pew32QkFWoaFFEvIL0q55O/Tr2A/O0c6NqqtAdZStVwB6MgyjCCAZ/AD4SV+MSQAwGIANwzAqACQBpBORQfkAhmG2AiioqaIFAElJSZCWloaCgkKjCngTIuRLiAiZmZlISkqCoqJiQ4vzSyIuIi6Mz/k/pTYbVAv5/8WihwXWPF0DnxQf6HfSb2hxAFTDjUhEZQD+BOAKIAz8rMMQhmG2MwxTHr26CsBchmHeAHAAMINqsQ9QSUkJWrduLVS0hDR6GIZB69athVZYIUKECGkgjLoYQUZCplG5Eqtj2QIR3QM/8P3zbZs/ex0KoP935tj6A/IJECpaQn4VhN9VIUKECGk4mog2gZmiGW69u4Xc0lzINpFtaJGEFeSri6ioKDQ0NMBisWBubo6cnJxamTcuLg4sFqtW5poxYwYUFRWhoaEBDQ0NHDt2rFbmrQwPDw88f/5c8H7r1q3o1KkTNDQ00KtXLzg4ONTZ2nXN69evMWfOHAD885SVlRV8ptu3bwcAsNlsDBgwAGVlZQ0pqhAhQoQIqYRRPUaBzWNX6ErRkAiVrWrStGlTBAYGIjg4GK1atcKJEycaWqRKOXDgAAIDAxEYGIilS5dW+zgul1ujdb5UtgBgxYoVCAwMhJOTE+bPnw8Oh1OjOWtDrp+hXHHavXs3lixZIthuYGAg+Ew3b+YbdCUkJDB48GBcvXq13uQTIkSIECHVo1frXujRogecop0aWhQAQmXrh+jXrx+Sk5MBAAUFBRg8eDC0tLSgqqoKJyf+HzYuLg4qKiqYO3cuevfuDRMTExQXFwMA/P39oa6ujn79+lVQ2kpKSjBz5kyoqqpCU1MT7u7uAAAbGxtYWFjA3NwcioqKOH78OA4fPgxNTU3o6ekhKyurSnkdHBygqqoKFosFKysrwXYpKSls3rwZurq6ePHiBfz9/WFoaAhtbW2YmpoiJSUFAHDs2DH06tULampqmDhxIuLi4nDq1CkcOXIEGhoaePbsWYX1evbsiWbNmiE7OxsAEB0djaFDh0JbWxsGBgYIDw8XbNfT04OOjg42b94MKSl+LR0PDw8YGRlh0qRJUFVVBQDY2dmhb9++0NDQwPz588HlcsHlcjFjxgywWCyoqqriyJEjlcoLAFlZWbCwsICamhr09PQQFBQEgG+RmzdvHkxMTDBt2jTk5+cjKCgI6urq3/0eWFhYwN7e/rvjhAgRIkRI/cIwDOapzYN5d/MKDe4bimrFbDUmtt0JQej7vFqds1dHGWwx712tsVwuF25ubpg9ezYAfpr/rVu3ICMjg4yMDOjp6WHkSH7ewLt37+Dg4IAzZ85g/PjxcHR0xJQpUzBz5kz8888/MDQ0xJo1awRzlyteb9++RXh4OExMTBAZGQkACA4OxuvXr1FSUoIePXpg3759eP36NVasWIGLFy9i+fLlAIA1a9Zg586dAIBLly6hdevWsLKygr+/P1q2bAkTExPcvn0bFhYWKCwsBIvFwvbt28HhcGBoaAgnJye0bdsWV69exYYNG3D+/Hns3bsXsbGxaNKkCXJyctCiRQssWLAAUlJSWL2anz3k5uYmOI+AgAD07NkTcnJyAIB58+bh1KlT6NmzJ3x8fLBo0SI8efIEy5Ytw7Jly2BpaYlTp05V+Jx9fX0RHBwMRUVFhIWF4erVq/D29oa4uDgWLVoEe3t79O7dG8nJyQgODgYAgWv3S3kBYMuWLdDU1MTt27fx5MkTTJs2DYGBgQD4yq+XlxeaNm0Kd3f3r9y6L168gLq6Ojp27IiDB5CrCPgAACAASURBVA+id2/+d4XFYuHVq1fV+t4IESJEiJD6xUzRrKFFEPDLKVsNRXFxMTQ0NBAXFwdtbW0MGTIEAD/Vf/369fD09ISIiAiSk5ORlpYGAIL4KQDQ1tZGXFwccnNzkZOTA0NDQwDA1KlTcf8+v22kl5eXwH2lrKwMeXl5gbJlZGQEaWlpSEtLQ1ZWFubm5gAAVVVVgZUG4LsRx44dK3jv5OSEgQMHorxY7OTJk+Hp6QkLCwuIiopizJgxAICIiAgEBwcLzovL5aJDhw4AADU1NUyePBkWFhawsLD45md05MgRnDlzBjExMXjwgO8nLygowPPnzzFu3DjBuNLSUgB8Jeb2bX62yKRJkwSKGwD07dtXUDrBzc0N/v7+0NHREfwt5OTkYG5ujpiYGCxZsgTDhw+HiYnJN+X18vKCo6MjAGDQoEHIzMxEbm4uAGDkyJFo2pTfGiglJQWfF9bV0tJCfHw8pKSkcO/ePVhYWODdu3cA+HF8EhISyM/Ph7S09Dc/FyFChAgR8v/NL6dsVdcCVduUx2zl5uZixIgROHHiBJYuXQp7e3ukp6fD398f4uLiUFBQEKT9N2nSRHC8qKgoiouLQUTfzFarqlrG53OJiIgI3ouIiFQZpF3VnJKSkhAVFRWM6927N168ePHVuLt378LT0xPOzs7YsWMHQkIqb3O5YsUKrF69Gjdv3sS0adMQHR0NHo+HFi1aCKxI1aV58+YVzmH69OnYs2fPV+PevHkDV1dXnDhxAteuXcP58+crlbeyz6H87/D5Wk2bNq1QtkFGRkbwetiwYVi0aBEyMjLQpk0bAHzFUVJSskbnJkSIECFC/r8QxmzVEFlZWRw7dgwHDx4Eh8NBbm4u5OTkIC4uDnd3d8THx1d5fIsWLSArKwsvLy8AqBDzM2DAAMH7yMhIJCQkQElJ6afk1dXVxdOnT5GRkQEulwsHBweBVe1zlJSUkJ6eLlC2OBwOQkJCwOPxkJiYCCMjI+zfvx85OTkoKCiAtLQ08vPzK11z9OjR6NOnD2xtbSEjIwNFRUVcv34dAF9xevPmDQBAT09PYG26cuXKN89h8ODBuHHjBj58+ACAH38VHx+PjIwM8Hg8jBkzBjt27EBAQMA35f38s/Xw8ECbNm0qKFLlqKioICoqSvA+NTVVoKj5+vqCx+OhdevWAIDMzEy0bdtWWCleiBAhQoRUyS9n2WoMaGpqQl39f+3de3zOdf/A8ddnGHOm0JgxmtNGwygV0ciZROUsHRTp4C53u/upu4P7TlQUne+EciopOojJIeQ0TDlvlOMSzZmZ8fn98Z4ZO13brtO29/Px8ODavtf3+sy167re38/n/Xm/b2LWrFn069ePrl27Eh4eTlhYGPXq1cv2/p9++ikPPvggJUuWpH379qlfHzZsGI899hgNGzakaNGiTJky5aoZrdzw9/fntddeo02bNlhr6dSpE927d093nK+vL3PmzOHJJ5/kxIkTJCcn8/TTT1OnTh369+/PiRMnsNYyYsQIypcvT9euXenVqxfz5s1j4sSJ6c734osv0rdvXx555BGmT5/O0KFDGT16NBcuXKB3797cdNNNTJgwgf79+/Pmm2/SuXNnypXLuBZKgwYNGD16NHfddReXLl2iWLFivPvuu/j5+TF48GAuXZLkx9dee42LFy9mON6XXnqJwYMH06hRI0qWLMnUqVMzfKx69epx4sSJ1KXBOXPm8P7771O0aFH8/PyYNWtW6ozY0qVL6dSpU26fGqWUUoWEcWKhd6cIDw+30dHRV31t+/bt1K9f30MjUq5y9uxZ/Pz8MMYwa9YsZs6cmbqb05PGjx9PmTJlUmttZeaee+7htddey3D2UX9nlVKqcDDGbLDWhmd1jM5sKY/ZsGEDw4cPx1pL+fLlmTx5sqeHBMDQoUNTlz0zk5SUxN13353nZV6llFIFn85sKeUC+jurlFKFgyMzW5ogr5RSSinlQhpsKaWUUkq5kAZbSimllFIupMGWUkoppZQLabCllFJKKeVCGmw5YP/+/QQFBZGQkADAsWPHCAoKSq0WHxsbS5cuXahduzZNmzalTZs2/PzzzwBMmTKFSpUqERYWRkhICL169eLs2bOp554wYQLTpk0D4MsvvyQkJAQfHx+u3ZGZmdKlS+f650pISKBdu3YEBwfTrl07jh07luFxU6dOJTg4mODg4KuKgbZu3Zq6desSFhZGWFhYaoX3SZMm8emnn+Z6XEoppVRBosGWA6pXr87QoUOJjIwEIDIykiFDhlCjRg0SExPp3LkzQ4YMYffu3WzYsIGJEyeyZ8+e1Pvff//9xMTEsHXrVnx9fZk9ezYAycnJTJ48mb59+wIQGhrK3LlzadWqVZ7Ge/HiRYeOGzNmDBEREcTGxhIREcGYMWPSHZOQkMDLL7/M2rVrWbduHS+//PJVQdn06dOJiYkhJiaGypUrA/Dggw/yzjvv5OlnUEoppQoKh4qaGmM6AG8DRYD/WWvHXPP9QGAqUD7lmEhr7Q/GmHbAGMAXSAJGWmuX5GnECyLhz9/ydIp0bmgIHdMHGmmNGDGCpk2bMmHCBFauXJnaomb69Om0aNGCbt26pR4bGhpKaGhounMkJydz5swZKlSoAMCSJUto0qQJRYvK05CXukzLli3j5Zdfxt/fn5iYGLZt25btfebNm8eyZcsAGDRoEK1bt+b111+/6piFCxfSrl07KlasCEC7du348ccf6dOnT6bnLVmyJDVr1mTdunU0b9481z+TUkopVRBkG2wZY4oA7wLtgAPAemPMfGtt2k/zUcAX1tr3jTENgB+AmsBRoKu19pAxJhRYCFRz8s/gFsWKFWPcuHF06NCBRYsW4evrC8DWrVtp0qRJlvedPXs2K1euJD4+njp16tC1a1cAVq1aRdOmTZ02xnXr1rFlyxaCgoIAaNmyZYbNot944w3atm3L4cOH8ff3B6SH4uVlwLQOHjxI9erVU28HBARw8ODB1NuDBw+mSJEi9OzZk1GjRqX2DQwPD2fFihUabCmllCr0HJnZag7EWWv3ABhjZgHdgbTBlgXKpvy7HHAIwFq7Kc0xW4ESxpji1trzuR5xNjNQrrRgwQL8/f3ZsmUL7dq1y/CYHj16EBsbS506dZg7dy4gy4iTJk3CWsvjjz/OuHHjiIyMJD4+3qlVxps3b54aaAGsWLEiz+fMqMPA5YBq+vTpVKtWjVOnTtGzZ08+++wzBg4cCEDlypXZsWNHnh9fKaWUyu8cydmqBuxPc/sA6WenXgL6G2MOILNaT2Rwnp7ApowCLWPMEGNMtDEm+siRIw4N3N1iYmKIiopizZo1jB8/nvj4eABCQkLYuHFj6nFff/01U6ZMSU2mT8sYQ9euXVOT5/38/EhMTHTaGEuVKnXV7ZYtW6Ymr6f9s3jxYgCqVKmS+nPEx8en5lylFRAQwP79V57+AwcOULVqVQCqVZNfgzJlytC3b1/WrVuXelxiYiJ+fn5O+9mUUkqp/MqRYMtk8LVrpzv6AFOstQFAJ+AzY0zquY0xIcDrwKMZPYC19iNrbbi1NrxSpUqOjdyNrLUMHTqUCRMmEBgYyMiRI3n22WcB6Nu3L6tWrWL+/Pmpx6fdbXitlStXUrt2bUBytOLi4rJ9/IMHDxIREZHjca9YsSI1eT3tn7Zt2wLQrVu31N2FU6dOpXv37unO0b59exYtWsSxY8c4duwYixYton379iQnJ3P06FEALly4wHfffXdVntquXbsyzFtTSimlChtHgq0DQPU0twNIWSZM4yHgCwBr7WqgBHA9gDEmAPgaGGit3Z3XAXvCxx9/TGBgYOrS4bBhw9ixYwfLly/Hz8+P7777jg8++IBatWrRokULRo8ezahRo1LvP3v2bMLCwmjUqBGbNm3ihRdeAKBjx46ps1wgs2IBAQGsXr2azp070759e0BmnS4n0TtTZGQkUVFRBAcHExUVlbrbMjo6mocffhiAihUr8sILL9CsWTOaNWvGiy++SMWKFTl//jzt27enUaNGhIWFUa1aNR555JHUc69atSo1qFNKKaUKM5NRTs5VBxhTFNgFRAAHgfVAX2vt1jTHLABmW2unGGPqAz8hS43lgOXAK9barxwZUHh4uL22xtT27dudmtvkTXr06MHYsWMJDg7O9JhJkyYRGBh41Y5Hb7Zp0ybeeustPvvsM08PxWMK8u+sUkqpK4wxG6y14Vkdk+10ibU22RgzHNlJWASYbK3daox5BYi21s4HngE+NsaMQJYYH7DW2pT73Qi8YIx5IeWUd1lr0297K6TGjBlDfHx8lsHW8OHD3TiivDt69Civvvqqp4ehlFJKeYVsZ7bcrbDNbKmCSX9nlVKqcHBkZksryCullFJKuZAGW0oppZRSLqTBllJKKaWUC2mwpZRSSinlQhpsOWD//v0EBQWlVoU/duwYQUFB7N27F4DY2Fi6dOlC7dq1adq0KW3atEmtnzVlyhQqVapEWFgYISEh9OrV66qipxMmTGDatGkAfPnll4SEhODj48O1mwQyU7p06Vz/XAkJCbRr147g4GDatWvHsWPHMjyuQ4cOlC9fni5dulz19d69exMbG5vrx1dKKaUKAw22HFC9enWGDh2aWvQzMjKSIUOGUKNGDRITE+ncuTNDhgxh9+7dbNiwgYkTJ7Jnz57U+99///3ExMSwdetWfH19mT17NgDJyclMnjyZvn37AhAaGsrcuXNp1apVnsZ78eJFh44bM2YMERERxMbGEhERwZgxGfedHDlyZIY1s4YOHcrYsWPzNFallFKqoHN+WXIXe33d6+xIcG6D43oV6/Fc8+eyPGbEiBE0bdqUCRMmsHLlSiZOnAhIM+YWLVpcVXA0NDQ0w1Y1ycnJnDlzhgoVKgCwZMkSmjRpklodPi+lApYtW8bLL7+Mv78/MTExbNu2Ldv7zJs3j2XLlgEwaNAgWrduzeuvv57uuIiIiNTj0mrZsiUPPPAAycnJLqlwr5RSShUE+gnpoGLFijFu3Dg6dOjAokWL8PX1BWDr1q00adIky/vOnj2blStXEh8fT506dejatSsgLW2aNm3qtDGuW7eOLVu2EBQUBEgwdOrUqXTHvfHGG7Rt25bDhw/j7+8PgL+/P3/9lbNasz4+Ptx4441s3rzZqT+HUkopVZDku2AruxkoV1qwYAH+/v5s2bIltU/itXr06EFsbCx16tRh7ty5gCwjTpo0CWstjz/+OOPGjSMyMpL4+HinFr5s3rx5aqAF0oja1SpXrsyhQ4c02FJKKaUyoTlbDoqJiSEqKoo1a9Ywfvx44uPjAQgJCWHjxo2px3399ddMmTIlNZk+LWMMXbt2TU2e9/PzIzEx0WljLFWq1FW3W7ZsSVhYWLo/ixcvBqBKlSqpP0d8fDyVK1fO8WMmJibi5+eX98ErpZRSBZQGWw6w1jJ06FAmTJhAYGAgI0eO5NlnnwWgb9++rFq1ivlzZsL50wBX7Ta81sqVK6lduzYgOVpxcXHZPv7BgweJiIjI8bhXrFhBTExMuj9t27YFoFu3bkydOhWAqVOn0r179xw/xq5duwgJCcnx/ZRSSqnCQoMtB3z88ccEBgamLh0OGzaMHTt2sHz5cvz8/PhuznQ+eP9datWpR4tbbmH06NGMGjUq9f6zZ88mLCyMRo0asWnTJl54QXpyd+zYMXWWC2RWLCAggNWrV9O5c2fat28PyKyTKxLQIyMjiYqKIjg4mKioqNTdltHR0Tz88MOpx7Vs2ZJ7772Xn376iYCAABYuXAjA4cOH8fPzS837UkoppVR62og6r86fgr93QzE/uHAOSpSFirUcvnuPHj0YO3YswcHBmR4zadIkAgMDr9rx6A3Gjx9P2bJleeihhzw9FK/j1b+zSimlnMaRRtT5LkHeq1w4Bwm/Q9HiULE2nD0Kp+Lh3HHwK+/QKcaMGUN8fHyWwdbw4cOdNWKnKl++PAMGDPD0MJRSSimvpsFWbiUnyYyW8ZFAq0hRKF1ZAq0TB6B4afDJ/r+3bt261K1b1w0Ddr7Bgwd7eghKKaWU19Ocrdy4lAwJu8FegutqQ1GpuYXxgfLV4dIFOBnv2TEqpa44fwpWvQ3J5z09EqVUIaTBVk7ZS7J0mHweKgZJrlZavqWgVCVZUkzZnaiU8rCYGRD1Ivw2x9MjUUoVQhps5YS1cGwvJJ2G8oFQvEzGx5XxhyK+cGKfBGdKKc+Kk9pyxEz37DiUUoWSBls5cfIgJB6HslWhZMXMj/MpAuWqy+zXqcPuG59SKr0LifD7CiheDvauklxLpZRyI4eCLWNMB2PMTmNMnDEmMoPvBxpjlhpjNhljfjXGdErzvX+l3G+nMaa9MwfvLvv37yeoZiAJB+KgVCWOJRUjKCiIvXv3AhAbG0uXLl2oXbs2TZs2pU2bNvy8Lgb8KjDlk4+pVKkSYWFhhISE0KtXr6uKnk6YMIFp06YB8OWXXxISEoKPjw/Xlr/ITOnSpXP9cyUkJNCuXTuCg4Np164dx44dS3dMTEwMLVq0ICQkhEaNGjF79uzU7/Xu3ZvY2NhcP75SbrF3FSSfg7tekbzKmBmeHpFSqpDJNtgyxhQB3gU6Ag2APsaYBtccNgr4wlrbGOgNvJdy3wYpt0OADsB7KefLV6pfV4qh/XsQOfZDKFuNyH/9iyFDhlCjRg0SExPp3LkzQ4YMYffu3WzYsIGJEyeyZ88eKFsNjOH+bu2J2bSJrVu34uvrmxqwJCcnM3nyZPr27QtAaGgoc+fOpVWrVnka78WLFx06bsyYMURERBAbG0tERARjxoxJd0zJkiWZNm0aW7du5ccff+Tpp5/m+PHjAAwdOpSxY8fmaaxKuVzcYihSHBreB7UjJNi65NhrRCmlnMGR0g/NgThr7R4AY8wsoDuwLc0xFiib8u9ywKGUf3cHZllrzwO/G2PiUs63OrcD/vO//+X89h25vXuGitevxw3PP5/xN8+fguP7GPH4ozRt35sJb7/NypUrmThxIgDTp0+nRYsWVxUcDQ0NJTQ0VG74VZDdiWePkly8AmfOnKFChQoALFmyhCZNmqRWh89LEcxly5bx8ssv4+/vT0xMDNu2bcv2PvPmzWPZsmUADBo0iNatW/P6669fdUydOnVS/121alUqV67MkSNHKF++PC1btuSBBx4gOTnZJRXulXKK2CioeRv4loTG/eDLB2DPUrixradHppQqJBz5hKwG7E9z+wBw8zXHvAQsMsY8AZQCLr+LVQPWXHPfatc+gDFmCDAEIDAw0JFxu0eaoqXFrg9m3LhxdOjQgUWLFuHrK+Uetm7dSpMmTTI/h28pZn8bxcp1txN/9Dh16tSha9euAKxatYqmTZs6bbjr1q1jy5YtBAUFAdJm59SpU+mOe+ONN2jbti2HDx9ObbXj7+/PX3/9le35k5KSUns7+vj4cOONN7J582an/hxKOc2xP+DvWAh/UG7X7SQXQJs+12BLKeU2jgRbJoOvXdvjpw8wxVr7pjGmBfCZMSbUwftirf0I+AikXU9Wg8l0BsrZri1a6lOUBQsW4O/vz5YtW1L7JF6rR48exMbGUqdOHebOnSvLiPfdz6QXHsMWK8XjL7zJuHHjiIyMJD4+3qktXZo3b54aaIE0onaW+Ph4BgwYwNSpU/HxubL6XLlyZQ4dOqTBlvJOl3chBqe8XosWh0b3Q/RkOJuQ9UYXpZRyEkcS5A8A1dPcDuDKMuFlDwFfAFhrVwMlgOsdvK/3yaBoaUxMDFFRUaxZs4bx48cTHy9FS0NCQti4cWPqXb/++mumTJlCQkLClfP5FIEy/pikU3Rt3ya1+bSfnx+JiYlOG3apUqWuut2yZUvCwsLS/Vm8WD6AqlSpkvpzxMfHU7ly5QzPe/LkSTp37szo0aO55ZZbrvpeYmIifn5+Gd5PKY+L+0nKtFx345WvhfWDi0lac0sp5TaOBFvrgWBjTJAxxhdJeJ9/zTH7gAgAY0x9JNg6knJcb2NMcWNMEBAMrHPW4F3i0iVI2HNV0VJrLUOHDmXChAkEBgYycuRInn32WQD69u3LqlWrmD//yn9J2t2GqUpVgmIlWbk0itq1ZPapfv36xMXFZTukgwcPEhERkeMfZcWKFcTExKT707atLJ9069aNqVOnAjB16lS6d++e7hxJSUn06NGDgQMHcu+996b7/q5duwgJCcnx2JRyueTzsGc53NgOTJpJdv9GcEMjiPncc2NTShUq2QZb1tpkYDiwENiO7Drcaox5xRhzOSv8GeARY8xmYCbwgBVbkRmvbcCPwOPWWu/dBmQtHN8LSWegQo3UoqUff/wxgYGBqUuHw4YNY8eOHSxfvhw/Pz++++47PvjgA2rVqkWLFi0YPXo0o0aNSj3t7NmzCWvcmEZ39mTTlu288JTkj3Ts2DF1lgtkViwgIIDVq1fTuXNn2reXShnx8fEuSUCPjIwkKiqK4OBgoqKiiIyUqh7R0dE8/PDDAHzxxRf8/PPPTJkyJXVmLCYmBoDDhw/j5+eXmvellFfZtxounMk4N6txf4jfDH/+5v5xKaUKHWNtlilSbhceHm6vrTG1fft2p+Y2ZchaKVp65oiUbCid8ZJanp08BKcPy7JG8TL06NGDsWPHEhwcnOldJk2aRGBg4FU7Hr3B+PHjKVu2LA899JCnh+J13PI7q7K2aBSs/RD++bs0hk/rbAK8WRfCH4KO6UueKKWUo4wxG6y14VkdoxXkLzvzlwRapSq5LtACKH2D1Pw5vg8uXWLMmDGpeVOZGT58uNcFWgDly5dn0KBBnh6GUhmLXQyBLdIHWiCJ8XU7wa+ztTm1UsrlNNgCuco9eQhKlJdZLVfy8YHy1SVB9/Sf1K1bN89FTD1l8ODBWl9LeacTB+DI9qzLOzQeAOcSYOcC941LKVUo5Ztgy2XLnSlFS/EtLXlaJqNqFU5WvIxcWZ8+DEkZJNOrfM3bluYLpWtLPmSkdhsoU1WbUyulXC5fBFslSpTg77//dv6H2IWzsvOwaHHZeWjc+N9Rphr4FIUT+yVfTBUI1lr+/vtvSpQo4emhFG6xUVA2ACrVy/wYnyIQ1kcCs5PeX5FGKZV/5Ys1oICAAA4cOMCRI0ecd9JLyTKzhJEcrb890FA5KQnOHoKDJ1J3PrrUxSQ4dxzsRShdxb3BpTewFpJOQ7GS8kHrIiVKlCAgIMBl51fZuHhBSj6E3pP9THVYP1jxJmyeBS3/4Z7xKaUKnXwRbBUrVuyqyuh5djYBJneAU3/Cgz9ClWv7aruJtTCzD/y+HIathgo1XfM4x/fBkv9IMnCJspB4Au4cBa1GuubxvNXWr+GbB+CWYdDhNU+PRrnK/rWQdCrrJcTLrqsNgbdK+57bR7gnjUApVegUsqkNpN/hzD5w7HfoM8NzgRbIG3vnN2SG6bsRzl9OPHcMFr0AE8Ml0LjtKXjqV6jbGVa+DWf+du7jebvV78rfm2fpDrSCLDZKluiD7nDs+Mb9pWPE/rWuHZdSqtAqfMEWBsr6Q48Poebtnh4MlAuAiH/D7iXw6xfOOWfyefhlErwdBr9MhNCe8MQGaPcy+JWHiBel2OOKN53zePnB/nVwYL1s9z+XADt/8PSIlKvE/QTVb5FZXEc06A7FSsGmz1w7LqVUoVX4gq1iJaDXp5LP4S2aPQQBzeHHSDhzNPfnuXRJArZJ4bDo/yAgHB5bCT3el3ITl1WuB2F9Yf3HssRYGKyeJKU9enwoidMbp3l6RMoVTsbD4d8gOIuSD9cqXhpCe8DWb+D8adeNzVOsleKue5Z7eiRKFVqFL9gC78vL8CkC3d6RMhQLn8/dOfYsg4/ugLmPSFAx4Bvo/xXcEJrx8a3/BRhY+t/cjjr/OPYHbP8WwgfLbEfjfrB7aeEJNAuTyyUfsqqvlZGw/rJ5Yts854/Jky5dhG+fggX/hOm9pNCrUsrtCmew5Y0q15fdUL/OvvKB4Yg/t8DnPWFad9lpeM/HMGS51BDKSrkAuPlRyV86vDVvY/d2az+UvLjmQ+R2WD/5O2aG58akXCNuMZTxhyqZXGRkJvAWqFi7YNXcungBvn4UNk6FFsOlDMasvnJhppRyKw22vEnLZ+D6OvDtiOyXM04chG+GwQe3w4FouGs0DF8Pje6TKvWOuH2EzPQsfjnvY/dWiSdkyTC0J5StKl+rUANq3SE70C55b190lUMXk2HPUrgxIuez18bIjOfeVfD3bteMz52Sz8MXg+C3LyUntP1/YOA86ck6ozf8scrTI1SqUNFgy5sULQ5d34ET+zJf3ks8AYtfgolN4Lc5cOsT8FSM/F0sh4U0S1aUgCt2YcF98904TZaHbhl29debDJSCsnqVX3AcjJbXR06XEC+7qY/MgOb3Gc+kszCzN+z8HjqOu1I/rGRFCbjKV4cZ98mmEaWUW2iw5W1qtIDwB2Ht+3Bww5WvJyfBmvdlh+HKCdDgbngiGu56Ffwq5P7xmj8qyy6L/13wKtlfTIY1H0DNllA17Orv1esi/2+6A63giI0CUwRqZbOEnpmyVSVQi5mRf2c8E0/A5/fIRUT3d+HmIVd/v3QlGDhfCjl/3hMObvTIMJUqbDTY8kZtX5IK7/OfkiBry1fwbjPZrejfCB5dDvd8COUD8/5YviUlWf7Aetjxfd7P5022z4OTB6DF4+m/V7Q4NLpffubCVm+soIqLgurNpbxJboX1g1OHZANFfnM2AaZ2k9dyr8lSPywjZf1h0LdysfFZD4j/1b3jVKoQ0mDLG5UoB53ekC3sbzeCOQ+CbxnoP1eWAfxvcu7jhfWTXLGfXpHZoILAWqk1VrE2BLfP+JjGA6SF0a+z3Ts25Xyn/4L4zZKvlRd1O4JfRYj53DnjcpdTh2FKZ/hrO/SeASE9sj6+XIAEXL6l4bO74fA294xTqUJKgy1vVb+LzLz4FIO7P5DZrLx+kGSmSFEpdHp0J2zO5/kql+1fx2wsSQAAIABJREFUC4c2QothmW8YuCEUqjaRpcSCtoRa2MT9JH/f6ECLnqwULS6bTHZ8LzNF+cHx/fBpBzi2F/p9CXUyubi4VoUaMGg+FPGV3cxHPdAfVqlCQoMtb9bjQxjxG4T1cWnjZEBymAKawdLXpKVRfrd6kiyT3NQn6+OaDIC/tmnuSn4XtxhKVYIbGuX9XI37y4znb3Pyfi5X+3s3fNpRlsIHfiO7bHPiutqSw4WFqV0Lxk5MpbyQQ8GWMaaDMWanMSbOGBOZwffHG2NiUv7sMsYcT/O9scaYrcaY7caYd4zxtoqiXsyd/1XGSK7YqUNSlyo/S9gD27+TjQa+pbI+NrQnFPWTWkQqf7p0EXb/JMntjpY9ycoNDSVo8/bNE4e3SaB14Sw88K3kq+VGpToScCWfl5yvY3udO06lVPbBljGmCPAu0BFoAPQxxlzVvdlaO8JaG2atDQMmAnNT7nsrcBvQCAgFmgE5vPRSblPzdgi+C1a+JU2s86u1H0oj4maPZH9siXKS37JlLiSdcf3YlPMd3Ci/r7kt+ZCRxgPgz1+9N3n84EaY0klKVTzwQ97zOKs0kJmxpFMyw3XioHPG6Q3OHdPK+crjHLkMbA7EWWv3WGuTgFlA9yyO7wPMTPm3BUoAvkBxoBhwOPfDVS4X8W9IPAkrx3t6JLlz7hhs/Awa9pJdV45oMkA+ZLZ+49qxFURnEzzfgSBusQQdte903jkb9pJcJm+sKL93tcxAFS8DgxdIr1Nn8L8JBnwtr6GpXeHUn845r6f9MBKm94RV73h6JCoz1sqFTUEK8q/hSLBVDdif5vaBlK+lY4ypAQQBSwCstauBpUB8yp+F1trtGdxviDEm2hgTfeTIkZz9BMq5bgiVxPy1H+bPX/wNU+HCmfRFTLMS2EIqa2tz6pz79kn4+E5pAO0pcVFQrakU7XSWkhWhXmdp7J583nnnzavdS6RcQ5kbYPCPUDHIueev1hT6zZFAa2o3OJ3P34+P75NZa7+KEPUCxMzM/j7KfZLOyHv2R3fAhy1hWjcpd1QAORJsZZQ4lNnWrd7AHGvtRQBjzI1AfSAACdDuNMa0Sncyaz+y1oZba8MrVark2MiV67R5HuwlWD7G0yPJmYsXJEgMaiX1yBxljCwb7V8DR3a5bnwFzfF9smsvOVGWnj3hzFFZUsvrLsSMNO4P5xJg5wLnnzs3dnwPM+6XpPbBC6Bchte8eRd4M/T7Qp7fad3zz67MjKx+T17fj/wk7wvzHoddizw9KnVkJ/zwT3izvlywJSfBzUPh7zhY856nR+cSjgRbB4DqaW4HAIcyObY3V5YQAXoAa6y1p621p4EFwC25Gahyowo1oNnD0jvwyE5Pj8ZxW7+RBP8Ww3N+35v6SPVxb0+K9ibrP5G/63SADVOkBIG77V4KWOfma11Wqw2UreYdS4m/zYHZAyR5f9C3UgnelWreDn1myoffZ3dLk/v85tyxlL6ovaBiLbh/uszcfzFQWxV5QnKSzDJO6QLvNofoyRDcTi4chq2GjmPkveTncZ6dKXcRR4Kt9UCwMSbIGOOLBFTzrz3IGFMXqACsTvPlfcAdxpiixphiSHJ8umVE5YVaPgvFSkmh0/zAWlg9Ea4Lzt0sR5kq8kLfPFNmyFTWLpyTHZz1OksBXpA3SXeLi4KS10HVxs4/t08RCcLjFsPJzK4v3WDDVPjqYVnuHjjPuculWandBu7/XHY9fn6P5HLmJ+s/kZSCW5+Q2yXKyhJpmRtg+r3w1w7Pjq+wOL4ffnoVxofAnMFwfK/kBv9jO/T6BGrcemXnffv/StmVqBc9O2YXyDbYstYmA8OBhUig9IW1dqsx5hVjTLc0h/YBZll7VXXIOcBu4DdgM7DZWvut00avXKfUdXDbk7Dju/xxFbj3F6kgnlUR0+w0GQhnjsCuH507toLoty9l5uDmx6SxcZNBMgOU8Lv7xnDpkhQzrX2nc0o+ZCSsryypb/ZQrs/q92SZ5ca2UrC0eBn3Pn6du+C+qfLamn4vnD/t3sfPrQuJklJQO0Jmsy4rXVk2ARTxlQDyxAHPjbEgu3RJepXO6C1dUFa8CdWaQN8v4ckYaY6e0ezsdbUlOP7tC9kIUoAY62WVs8PDw210dLSnh6FA3ljfaQzXB8MD37u37ldOzewL+1bDP7ZBMb/cneNislx9+d8kOSsqY9bCBy0lCBm6Sn4vTsbDO2EQcg/0eN894zi4ET5uAz0+gpvud93jfNpJEsaf2OC+14C18PMbsHQ01O8GPT+Bor7ueeyMbP1a2obVuA36fiE9Vb3ZhqkSpA6cn3Gh1/hfpb1RGX948Ef3zRYWdGeOSipG9Kcyg1WqkuTDNn1A0lMckXQGJjWT52TIctcX9HYCY8wGa214VsdoBXmVueKl4Y5/wt5VcpXirf7eDTt/kDyz3AZaIG2LwvrK0pQnl4283d5fpG/nzUOuBB9l/SH8Ifh1lvvavsQtBozr2lhdFtYPEnbDvjWufZzLrIXF/5ZA66Y+0OtTzwZaILXoenwEf6yE2f1k5shbXboEv0yUi6agdPuxhH8j6SF57A+YcZ/W2MsLa2UW6quH4a36sPgl6b3Z8xMYsQ3a/tvxQAukEPVdr8Kfv8GGT102bHfTYEtlrekDkly6+CWp1O2N1rwPRYpJsJVXjfvLjI03JEV7q3UfQony0PC+q79++wgoWgKWuWkXa9xiqBoGpa537eM06C4Nm93RnDo5Cb5/Bla9LcFr9/fkIsAbNLoXuk+S8hNfDPTeLfq7FsDfsXDrk1nPRAa1hJ7/gwPR8OUDmquZU4knYd3H8P5t0ptz10L5vBi2Bgb/ILXqcnuREHIP1GwJS0bn792waWiwpbJWpBjcOQr+2ip5Ot7mbIIERg3vkyT3vLqutrzIN30uV8jqaicOSCukJgPTLyWVrgQ3PwpbvpKkalc6mwAH1rum5MO1ipeGkLthy9euzVn6c4vULIv+BG57Cjq/6bpctNxq3B86vwWxCyXZ2RsDlFXvQPlAaHB39sc26AZd3oLYRTD/CX3NO8JaSXh/qz788Kws83V9WxLeO42DyvXz/hjGQMfXJaDLL5u0suFlr2TllRr0AP8wWPIf7yrwCFJy4MJZSYx3lsYDZHlh70rnnbOgiJ4M2MxnEW99UmaBlr3m2nHsWSYzkMFuCLZAficunIFt85x/7ovJsOIt+Kg1nD4MvWdCu1e8N0ey2UPQ4XXZPPP9Pzw9mqvtWyv18loMd3xGMPxBaP28bIJY/G/Xjq8g2PYNrHhDdqs+/BM8+rPMaBUv7dzHqRICzR+R9/hDMc49twdosKWy5+MjTapP7LtSW8kbJCfBuo+kHlKVEOedt0E3KF5OK8pf60KivPHV7ZR5DkbJihL4bp/v2r6CcYtlKbNaU9c9RlrVb5YuA5ucvJR4NE6WYH56Gep1kiWYep2c+xiucMtjElhvnCY5fN7il3fAr4LMwOXEHf+UC4hf3pF8L5WxswnS/qhqY+g1BQLCXXtR0PpfUtplwT9lRi0f02BLOaZ2G6jVWmopJZ7w9GjE1q/hVHzuiphmpZif5Kdsm5+/G3I725av4Ozf0HxI1sfdMkwafC/9r2vGcemSBFu173TfTiVjJFF+3y+yISOvLl2S0gQf3C4bCnp+AvdOlZIr+UXrSCgbIB++F5M9PRoJXHd8L0GTb6mc3dcY6DhW8vMWjdK2PpmJekECrm4T3ZNL6FdeEuz3r4VfZ7v+8VxIgy3luLYvSfsSb7jysxZWT4JK9VyzG63xALh4Xip3K/n/XvsBVKqf+Q6vy/zKS62cXQsk+djZDm+R5TZ3LSFedlMfaXid180Tx/fBZ93lar3m7TKb1bCX9y4bZsa3FLT/jzwf3rBrbPVEqZ+V3cVAZnyKwD0fa1ufzOxZLjO7tz0pnQzcJaw/VG0ihU7zW2HdNDTYUo6r2lh2iax+F04d9uxY/lgJf/4qsyiu+JCqGgY3NJIq6UquLP/89epyD1m5+TFp/rv0P84fS1xKGZLaLi75cK2y/lJcNGZm7nbmWisfVu/dKjXCur4jhUrL+jt/rO7SoLvMeC95VWosecrpv+R5CesrhUtzq2hxaetTJQS+HAT71ztvjPnZhXPw7VOyM/2O59z72D4+knh/+jD8PNa9j+1EGmypnLlzlLRTWP66Z8ex+l0oeT00ui/7Y3OryUCp9VIAkjPzbO2HsjTYyMHiocXLwO1PS5kAZ1eCjl0sgbAzdp/mVOP+0n9z99Kc3e/UYZjZR2ZM/G+SYrBNB+W/2axrXV5+SzojeWeesvZDeV+63JonL0qUhf5fQekqMOPe/NUf1lWWjYFjv8uuw7zUMsytgHCZ4VrzPhzZ5f7HdwINtlTOXFdbdp5snOqc3JXcOBonS1R5LWKanYa9oEhxbU598pAkvDcekLNcmGaPQKnKzp3dSjwhs2yuaDztiDodZcYuJzW3tsyF926GPUuh/WvSSLpCTZcN0e0q1YVbhsLGz+DABvc//vnTsP5/0qfzutrOOefltj4+xeCzHoW7rU/8ZkkdaTIw+xQCV2r7byhWEn58Ll8my2uwpXKu1T8lCFnyqmcef8178vjNHnLt4/hVkGWSX7+UafTCKnqyLJvltGisb0npgfbHCsn3cIY9y8BedH++1mVFfWV2b8f32RdbPJsgLW7mDJbll0dX5K13pzdr9U+ZCfrhGffXqtr0OSQel9pkzlQxSGa4Ek/C5z0LTHHNHLmYLPXHSl4n5Ug8qXRlaPO8zJbv+N6zY8mFAviqVy5Xpgq0eFx2Ax7a5N7HPpsAMTNk+TAvuRmOajIAzp+QnYmFUfJ5KfdQp4N8+ORU08FQpqrMbjnjajRusZTlCGie93PlVuN+smSVVZHfXYvgvVukLtedo+DBRVCpjvvG6G4lykqLlUOb3DsTfDFZUgoCW0B1F/xO+DeCPjMgYQ/MuB+Szjr/MbzZ2vdlZqvTOLn49LRmD8smnYX/yncXwBpsqdy5NeVqZ/FL7n3c6MmQfE6CPXeocbss+RTWpcStX8OZI5IYnxvFSkCrZ2XpL+6nvI3FWsnXqnWHZ1vY3NBQ8q4yqrmVeFJmAmbcKzmFjyyFViO9p+WOKzW8V4KexS+5bxZo2zdS/+/WJ133GEGtUtr6rC9cbX0SfpdC1nU7ywy/NyhSDDqNlR29q9729GhyRIMtlTslysqHyJ5lMq3rDsnnpYhp7QjntIRwhI+P5Cr9scJzOWqecrncw/V1pHBsbjUeIO1Tlo7O2+zWX9skOd1TS4hphfWX3ZlpC7f+vkL6xG36XPpEDlkqMyOFhTEyA5J43HU11tKyVj5wr68jM6+u1KC7tE+KXQjzn8yXOUM5Yi1897QEN53f8K6NHEGtpBXTyvFwbK+nR+MwDbZU7oU/KB+ii19yT57Glrmy/ddds1qXhfWV+krOrh7u7Q5Ey7JQcwfLPWSmqK/k9BzaBDsX5P48cYvlb08lx6fVsJfUdIqZLssZCyJhahf5cHpwodSkK1rc06N0vxsaylJP9Ceu7SAA8PtyCXhbDHdPHlyzh6Si+eYZBb+tz+aZciHd9t9QtqqnR5PeXaMBA4v+z9MjcZgGWyr3ihaHNqNkTX/rXNc+lrWSm1G5gVQOd6eyVaXhccwM76iU7S7rPoTiZaWYZ17d1EeSxJf+J/eBeWwUVA7xjjf/khWhXhfYPAs+aCm5Lc2HwGMrXJM7lJ+0eV7ye34Y6doZoFXvSFK+o+VInOGO5ySYXPW2dxR3doXTR2Dh81D9Fmj6oKdHk7Hy1aHlM7D925yXYfEQDbZU3jS8F6qESo2dvb+47s3195/h8G8yq+WJKe0mA+H0n1dmVwq6U39KvlZYP+c0mC1SFO6IlGrj23PRzPn8Kdi3BoK9YFbrssb9ZcnswjkYOE+W0HLaJqYg8qsgM3v718CvX7jmMf78DXb/BDc/KnmB7nJtW5+PWkvJi4KUOP9jpNRN6/aOd++cvfUJyadd8Fy+yKPz4v9JlS/4+Mibz7kT8GlH2YG15n3n9xRcPUlqNjW817nndVSd9vL4haU5dfSnUu6h+SPOO2fDXnB9XVj6Ws4rsP/+M1y64B1LiJfVvhP6fQXDfpEq6uqKsP7SJDzqBde0WPllIhQrJakM7uZTBO75H3QcJ4H2/OHwVj1ZSs6nBTdT7VoIW+ZIPm6lup4eTdaKlZC6dUd3SlFbL+dQsGWM6WCM2WmMiTPGRGbw/fHGmJiUP7uMMcfTfC/QGLPIGLPdGLPNGFPTecNXXqHmbfDMdug2Sa7sf4yEN+vB10Nh/7q8z3Yd2Qmxi+SD31N5MEWKwU29YdePnm9V5GrJSdLrLrid84pEgnxItY6UN8ctX+XsvrFR4Ftalja8hTEy01ainKdH4n1SW6z85fxuEycOyO9P00GeK0dQ1Fd26A5bAw/8IBcB6/8H7zaDKV1kVjgfzLZc5fwp+O4fUlrhtqc9PRrH1O0oKR7Lxnj9+3K2wZYxpgjwLtARaAD0McY0SHuMtXaEtTbMWhsGTATSJvBMA8ZZa+sDzYG/nDV45UV8S0lNqkeWSPHGsL5SdfyTdrJDa93HUv07N9a8B0VLeOYqNq0mA6Wg5uaZnh2Hq22bJxsRmj/q/HM3uFuWnZeNcTz/zVopG1GrtXzIqfyhWlN5zaz9AP7a4bzzrnlffiduGea8c+aWMXKx2Wsy/GMbRLwoO+S+fADGh0jphPxSff6nV+HkQVk+zC+vM2OgwxhITnR/GaIccmRmqzkQZ63dY61NAmYBWRXd6APMBEgJyopaa6MArLWnrbUFaHFbZci/EXQZD8/slF5aRYrCD8/KbNe8x+HgBsdnu84clSTkm3pDqetdO+7sXB8sdYQ2fVawt36v/QAq1nbNRgQfH9nRlbAbfp3l2H2O7pJaSje6ufG0yruIf8uM5AInJcufOy5FdkN7SpK0NyldWZK2n4qBPrOlFtvP42BCQ5jZV/I93V1d31H710tZneZD8t8Gj+tvlFzezTNg31pPjyZTjgRb1YD9aW4fSPlaOsaYGkAQcLnwUh3guDFmrjFmkzFmXMpMmSoMipeWPoqP/izFHRv2gi1fw8d3woetpEDp+VNZnyN6sly1eMNVLEjNqL/jYJ+Tmyt7i4Mb4GC0JB67Kjm2XmfwD5PlpeSk7I+PjZK/b/SC+loqZ0pdJxX0f/9ZCpDmVfRkSDoNt7mwiGle+RSBuh2g35cSeN32lBT1/bwnTGwiOxnP/O3pUV6RnCSFeMtWg4gXPD2a3Gk1Esr4S1Cf03xQN3Hk3TSjrV+ZXaL0BuZYay//tEWBlsCzQDOgFvBAugcwZogxJtoYE33kyBEHhqTynWpNoNtEeGaHFAe0Fr4bIbNd3z4Fh2LS3+dColxtBd/lPcmaIXeDbxnZgVQQrf1IZiKcUe4hM8bIB/DxfY41dI5bDJXqed9MhnJM+INSf2vh/8kut9xKPi+zrrXayPnygwo1ZWfmP7ZBz08kIIh6Ed6qD3OHyEyMp2fJV02AI9uhy1tQvIxnx5JbxUtDu1elDJGXbmJyJNg6AKR9lwsADmVybG9SlhDT3HdTyhJkMvAN0OTaO1lrP7LWhltrwytVquTYyFX+VKKs1Kl5bAU8tFi2UG+eDR/dIduoN0y98oa8ZY60inF3EdOs+JaChj0lATa3OWje6vRfkngc1leeJ1e6sa30N/z5DQmqM5N0Bvau8q5diCpnfIpApzckH2jFm7k/z69fSC6hsxtOu0PR4jKz/+ACGLpactl2/ACT75I6bdGT4fxp94/ryE5Z6gztKTuu87OGvSDwVvjpFa9sGu5IsLUeCDbGBBljfJGAKl1XXmNMXaACsPqa+1YwxlyOoO4EtuVtyKpAMAaqN4O735PZro5j5UP32yfhjbrw/TNStLBKKATd4enRXq3xQOnPmNMddd5uwxQpr9A8l30Qc8IYuPP/5AN4w5TMj/tjpTR91mArfwu8BRr1lpINuWl7dekS/PKOzGjVau3s0blXlQbSAueZHZLbCldm+b9/xn0taC5dklUF31LQwck7Rj3BGOmb6K52UTmUbbCVMiM1HFgIbAe+sNZuNca8YozplubQPsAsa6/MiaYsJz4L/GSM+Q1ZkvzYmT+AKgD8ykuO0LDV0uqkXmdZpju603NFTLNSrYlUMi9IS4kXL8D6T6Tv5PXB7nnMoDuk0feKNzMvChkbBcVKQo1b3TMm5TrtXoYixaUIZU6XzmIXykaJW5/yvveD3CpeWpZYH1sBD0WlvO9Ng4lNpQTDycwWkJxkw6eSe9r+v1C6gKwo3dBQ/k+jP5HCt17EWE+vF18jPDzcRkdHe3oYytPOJsCB9ZIU7Y1VjNe8L/XEHlsFN4R6ejR599sc+Ooh6PuFe5cT9v4ixXDbvZo+6dlaeCdM8rX6znbfmJTr/DJJ+tn1mSU1khw1uSOc2A9PbpKadwXVyUOytL5xmvRjbfawNDV3djB08hBMag4BTWHANwUngAX57JjYVN43Bv/glp/NGLPBWhue1TFe+CmmFNJ7rk577wy0QPqxFfGVMhAFwbqPoEKQ+3f81bhVEp5XTUi/MzVhDxz7Q5cQC5KbH5UPwQXPZZ2rl9aBaNj3i8xyF+RAC6TvZ5e34Ilo6Zax9n14uxEsftl5eUjWwvfPwqVkWcYsSIEWyGdHxIvyO+NFqR5e+kmmlJe73Ij419mySyo/O7RJtqY3H+KZ4PbOUXD27/QtN1JLPmiwVWAUKSb5mcf3Sg6WI1a9DSXKS9mVwqJCTbj7XXh8PdTtBCvHw9s3wbLX897+aPt82Pm9NAyvWMspw/U6TQZKnbNFozyz8SADGmwplVtNBkgPyB3feXokebP2I+kz17ifZx4/IByC20vydNodnnFRcN2NUDHIM+NSrlHrDgjpIbl62SWD/70btn8LzR5yTkP0/Ob6G6HXJzB0FQS1gmX/lZmuleNzV0bj3DH4YaQEIt5Su9AVLu+APRUvuy29gAZbSuVWUGsoF5j7ui7WytLZ8f2SzPnHStj+HWz6HFa/K30lXe3MUZlqv6m3Z3v8tXledhGtfk9uXzgn/x9ayLRgumu05CQt+r+sj1s9SWbDXNE6Kj+pEgK9p8OQZRDQTFrTvH2T5I46uhwLUuPrzFHo+o509ijIqjeXeoG7f3K8NZgLFfD/baVcyMcHGveXq8396ySHK/G4zM6cOy7/vvbvtN9LPCF5E1lpdD+0ewXK3OCan2HDFLh43j3lHrJSNQzqd5U+mDc/Cgc3SucAXUIsmMoFQKtnpSZS3E8Zt2I6fQRiZsgHZpkq7h+jN6raWCrT71sLS16VTTqr3oE7RkJY/6x7Gv6+Qi4Mb3tKXm+FQcfXZTezFwSWuhtRqbw4cQDGh5JpUwVTREpblCh/5e8S5a75Wrmrv+9XHor6wboPZWmtSHFo8y8JiJyZIHzxglwdXx8MA+c577y5dXgbvH+r7L66cE62pj/3BxTz8/TIlCskn4f3bpEZrqGr0wcKS/8Ly8fC8PXuK0eS3+xZDktGw4F1UL4GtI6EhvelDy4unIP3bwN7CYb+Ar4lPTPeAsqR3YieD/eUys/KBUC/OVLZOl0QVV4KBuZ2t0/EixDWDxb8ExY+L3W9Or8BNW93zth3fCdFRTu94Zzz5VWVBhB6jyTK+1WAmi010CrIihaXZPnpvWRG8/anr3wv6YzskK3bSQOtrNS6Q3K54hbLTNc3Q2HFW3Jx1qDHlQ0vy8dK8/eB8zTQ8hDN2VIqr4LbSnJ5/S4SCN0QKkFY8dJ531Z9XW0J5nrPkA+gKZ1hzkNwMj7v4177kVwNe1Objtb/kur8Jw/oEmJhENxOAqrlY68u4rlpuiRze3PDaW9hjPw/DlkO938OPkVhzoPwYUvY8T3E/yo7OsP65//q+/mYBltKeTtjpLr042vhjudkd9akcMnVuHghd+eM/1Xq0DR/RHbueIvrgyVPDeQDRBV87f8ruYuLXpDbF5MlMb76zdLmRznGGMl7HLpKml5fOAez+sL/2kqpmrte9fQICzUNtpTKL3xLyq69x9fIDFrUC5KHsWd5zs+17kNJHG3c3/njzKsOY6TC+HW1PT0S5Q4Vg2QJccuclB2586UO1606q5UrPkWkKfPj66D7u1C5HnSbKAGX8hhNkFcqv9r5I/z4nFRZD+kBd/0HylXL/n5nE+Ct+rLLq+sElw9TqWwlnYV3b5al9yLFZMn88fXe20FCqTS0XY9SBVndDjBsLbR+HnYugEnNpNhhclLW99s4VcoqeLrcg1KX+ZaEDv+Fv7ZB/GZoMVwDLVWg6G+zUvlZsRLQ+jnJ56rVWoodvn8r7F6S8fEXk2Hd/2SnX5UGbhyoUtmo10WK2Ja+QWZdlSpANNhSqiCoUBP6zJCdi/YifNYDZg+Q6vRp7fxBdvrd/JhHhqlUpoyB+6ZJgnexEp4ejVJOpcGWUgVJcDsYtkaaO8dGydLiz29caZa97iNpMVS3o2fHqVRGfEtCqes9PQqlnE6DLaUKmqLFodVIGL5Ogq8lr0ql7jUfwB8rpKmvN5V7UEqpAk6DLaUKqvKBcP9n0H+utET58TkoWgKaDPT0yJRSqlDRdj1KFXQ3RkjvufX/kzZCWm9HKaXcSoMtpQqDor7QYpinR6GUUoWSQ8uIxpgOxpidxpg4Y0xkBt8fb4yJSfmzyxhz/JrvlzXGHDTGTHLWwJVSSiml8oNsZ7aMMUWAd4F2wAFgvTFmvrV22+VjrLUj0hz/BND4mtO8CuSip4hSSimlVP7myMxWcyDOWrvHWpsEzAK6Z3F8H2Dm5RvGmKZAFWBRXgaqlFJKKZUfORJsVQPSVkY8kPK1dIwxNYAgYEnKbR/gTWBkVg9gjBlijIk2xkQfOXLEkXErpZRSSuULjgRbJoOvZda9ujcwx1p7MeX2MOAHa+3+TI6Xk1n7kbU23FobXqlSJQcnvxT1AAAEGElEQVSGpJRSSimVPziyG/EAUD3N7QDgUCbH9gYeT3O7BdDSGDMMKA34GmNOW2vTJdkrpZRSShVEjgRb64FgY0wQcBAJqPpee5Axpi5QAVh9+WvW2n5pvv8AEK6BllJKKaUKk2yXEa21ycBwYCGwHfjCWrvVGPOKMaZbmkP7ALOstZktMSqllFJKFTrG22IjY8wRYK8bHup64KgbHkflnj5H+YM+T/mDPk/5gz5P3u/a56iGtTbLhHOvC7bcxRgTba0N9/Q4VOb0Ocof9HnKH/R5yh/0efJ+uXmOtBG1UkoppZQLabCllFJKKeVChTnY+sjTA1DZ0ucof9DnKX/Q5yl/0OfJ++X4OSq0OVtKKaWUUu5QmGe2lFJKKaVcToMtpZRSSikXKnTBljGmgzFmpzEmzhij1ey9lDHmD2PMb8aYGGNMtKfHo4QxZrIx5i9jzJY0X6tojIkyxsSm/F3Bk2NUmT5PLxljDqa8pmKMMZ08OcbCzhhT3Riz1Biz3Riz1RjzVMrX9fXkRbJ4nnL0eipUOVvGmCLALqAd0vNxPdDHWrvNowNT6Rhj/kDaO2lxPy9ijGkFnAamWWtDU742Fkiw1o5JuYCpYK19zpPjLOwyeZ5eAk5ba9/w5NiUMMb4A/7W2o3GmDLABuBu4AH09eQ1snie7iMHr6fCNrPVHIiz1u6x1iYBs4DuHh6TUvmGtfZnIOGaL3cHpqb8eyryRqQ8KJPnSXkRa228tXZjyr9PIe3wqqGvJ6+SxfOUI4Ut2KoG7E9z+wC5+E9TbmGBRcaYDcaYIZ4ejMpSFWttPMgbE1DZw+NRmRtujPk1ZZlRl6e8hDGmJtAYWIu+nrzWNc8T5OD1VNiCLZPB1wrPOmr+cpu1tgnQEXg8ZVlEKZV77wO1gTAgHnjTs8NRAMaY0sBXwNPW2pOeHo/KWAbPU45eT4Ut2DoAVE9zOwA45KGxqCxYaw+l/P0X8DWyBKy80+GUvIbL+Q1/eXg8KgPW2sPW2ovW2kvAx+hryuOMMcWQD/Dp1tq5KV/W15OXyeh5yunrqbAFW+uBYGNMkDHGF+gNzPfwmNQ1jDGlUhIRMcaUAu4CtmR9L+VB84FBKf8eBMzz4FhUJi5/gKfogb6mPMoYY4BPgO3W2rfSfEtfT14ks+cpp6+nQrUbESBle+YEoAgw2Vr7Hw8PSV3DGFMLmc0CKArM0OfJOxhjZgKtgeuBw8C/gW+AL4BAYB9wr7VWk7M9KJPnqTWy5GGBP4BHL+cGKfczxtwOrAB+Ay6lfPl5JB9IX09eIovnqQ85eD0VumBLKaWUUsqdCtsyolJKKaWUW2mwpZRSSinlQhpsKaWUUkq5kAZbSimllFIupMGWUkoppZQLabCllFJKKeVCGmwppZRSSrnQ/wPD93ir/SHivQAAAABJRU5ErkJggg==\n", "text/plain": ["
"]}, "metadata": {"needs_background": "light"}, "output_type": "display_data"}], "source": ["fig, ax = plt.subplots(1, 1, figsize=(10, 4))\n", "ax.plot([_[0] for _ in scores], label=\"RandomForestRegressor(5)\")\n", "ax.plot([_[1] for _ in scores], label=\"XGB(1, lr=0.05)\")\n", "ax.plot([_[2] for _ in scores], label=\"XGB(1, lr=0.1)\")\n", "ax.plot([_[3] for _ in scores], label=\"XGB(1, lr=0.2)\")\n", "ax.set_title(\"Comparaison pour diff\u00e9rents learning_rate\\net des fonctions en escalier \"\n", " \"avec XGBoost\")\n", "ax.legend();"]}, {"cell_type": "markdown", "metadata": {}, "source": ["Les r\u00e9sultats sont sensiblement les m\u00eames."]}, {"cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [{"name": "stderr", "output_type": "stream", "text": ["100%|\u2588\u2588\u2588\u2588\u2588\u2588\u2588\u2588\u2588\u2588| 25/25 [00:10<00:00, 2.34it/s]\n"]}, {"data": {"text/plain": ["[[0.8850200020052564,\n", " 0.8491004361723402,\n", " 0.8816335539385363,\n", " 0.8760849465925536],\n", " [0.8653185803997192,\n", " 0.8402218872212899,\n", " 0.8683639698989838,\n", " 0.8661907635378407]]"]}, "execution_count": 26, "metadata": {}, "output_type": "execute_result"}], "source": ["scores = experiment([\n", " RandomForestRegressor(max_depth=5, n_estimators=100),\n", " XGBRegressor(max_depth=5, n_estimators=100, learning_rate=0.05, objective='reg:squarederror'),\n", " XGBRegressor(max_depth=5, n_estimators=100, learning_rate=0.1, objective='reg:squarederror'),\n", " XGBRegressor(max_depth=5, n_estimators=100, learning_rate=0.2, objective='reg:squarederror'),\n", "])\n", "scores[:2]"]}, {"cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [{"data": {"image/png": "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\n", "text/plain": ["
"]}, "metadata": {"needs_background": "light"}, "output_type": "display_data"}], "source": ["fig, ax = plt.subplots(1, 1, figsize=(10, 4))\n", "ax.plot([_[0] for _ in scores], label=\"RandomForestRegressor(5)\")\n", "ax.plot([_[1] for _ in scores], label=\"XGB(5, lr=0.05)\")\n", "ax.plot([_[2] for _ in scores], label=\"XGB(5, lr=0.1)\")\n", "ax.plot([_[3] for _ in scores], label=\"XGB(5, lr=0.2)\")\n", "ax.set_title(\"Comparaison pour diff\u00e9rents learning_rate\\net des arbres de d\u00e9cisions \"\n", " \"avec XGBoost\")\n", "ax.legend();"]}, {"cell_type": "markdown", "metadata": {}, "source": ["### LightGbm"]}, {"cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [], "source": ["from lightgbm import LGBMRegressor"]}, {"cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [{"name": "stderr", "output_type": "stream", "text": ["100%|\u2588\u2588\u2588\u2588\u2588\u2588\u2588\u2588\u2588\u2588| 25/25 [00:08<00:00, 3.03it/s]\n"]}, {"data": {"text/plain": ["[[0.8893616908044297,\n", " 0.8261124421322801,\n", " 0.8817998121916502,\n", " 0.8926218231962352],\n", " [0.856474322673725,\n", " 0.7988728741682812,\n", " 0.8481012917344808,\n", " 0.8589885895995628]]"]}, "execution_count": 29, "metadata": {}, "output_type": "execute_result"}], "source": ["scores = experiment([\n", " RandomForestRegressor(max_depth=5, n_estimators=100),\n", " LGBMRegressor(max_depth=1, n_estimators=100, learning_rate=0.05),\n", " LGBMRegressor(max_depth=1, n_estimators=100, learning_rate=0.1),\n", " LGBMRegressor(max_depth=1, n_estimators=100, learning_rate=0.2),\n", "])\n", "scores[:2]"]}, {"cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [{"data": {"image/png": "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\n", "text/plain": ["
"]}, "metadata": {"needs_background": "light"}, "output_type": "display_data"}], "source": ["fig, ax = plt.subplots(1, 1, figsize=(10, 4))\n", "ax.plot([_[0] for _ in scores], label=\"RandomForestRegressor(5)\")\n", "ax.plot([_[1] for _ in scores], label=\"LGB(1, lr=0.05)\")\n", "ax.plot([_[2] for _ in scores], label=\"LGB(1, lr=0.1)\")\n", "ax.plot([_[3] for _ in scores], label=\"LGB(1, lr=0.2)\")\n", "ax.set_title(\"Comparaison pour diff\u00e9rents learning_rate\\net des fonctions en escalier \"\n", " \"avec LightGBM\")\n", "ax.legend();"]}, {"cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [{"name": "stderr", "output_type": "stream", "text": ["100%|\u2588\u2588\u2588\u2588\u2588\u2588\u2588\u2588\u2588\u2588| 25/25 [00:10<00:00, 2.26it/s]\n"]}, {"data": {"text/plain": ["[[0.8609320085819122,\n", " 0.8634839814757147,\n", " 0.8597595136945096,\n", " 0.8551285081930242],\n", " [0.8326411682697042,\n", " 0.8292392382894543,\n", " 0.8280682654753115,\n", " 0.8224006022576665]]"]}, "execution_count": 31, "metadata": {}, "output_type": "execute_result"}], "source": ["scores = experiment([\n", " RandomForestRegressor(max_depth=5, n_estimators=100),\n", " LGBMRegressor(max_depth=5, n_estimators=100, learning_rate=0.05),\n", " LGBMRegressor(max_depth=5, n_estimators=100, learning_rate=0.1),\n", " LGBMRegressor(max_depth=5, n_estimators=100, learning_rate=0.2),\n", "])\n", "scores[:2]"]}, {"cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [{"data": {"image/png": "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\n", "text/plain": ["
"]}, "metadata": {"needs_background": "light"}, "output_type": "display_data"}], "source": ["fig, ax = plt.subplots(1, 1, figsize=(10, 4))\n", "ax.plot([_[0] for _ in scores], label=\"RandomForestRegressor(5)\")\n", "ax.plot([_[1] for _ in scores], label=\"LGB(5, lr=0.05)\")\n", "ax.plot([_[2] for _ in scores], label=\"LGB(5, lr=0.1)\")\n", "ax.plot([_[3] for _ in scores], label=\"LGB(5, lr=0.2)\")\n", "ax.set_title(\"Comparaison pour diff\u00e9rents learning_rate\\net des arbres de d\u00e9cisions \"\n", " \"avec LightGBM\")\n", "ax.legend();"]}, {"cell_type": "markdown", "metadata": {}, "source": ["[LightGBM](https://lightgbm.readthedocs.io/en/latest/) para\u00eet moins sensible au *learning_rate* que [XGBoost](https://xgboost.readthedocs.io/en/latest/index.html)."]}, {"cell_type": "markdown", "metadata": {}, "source": ["### CatBoost\n", "\n", "[CatBoost](https://catboost.ai/) est une des plus r\u00e9centes. Elle est sens\u00e9e \u00eatre plus efficace pour les cat\u00e9gories ce qui n'est pas le cas ici."]}, {"cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [], "source": ["from catboost import CatBoostRegressor"]}, {"cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [{"name": "stderr", "output_type": "stream", "text": ["100%|\u2588\u2588\u2588\u2588\u2588\u2588\u2588\u2588\u2588\u2588| 25/25 [00:24<00:00, 1.00it/s]\n"]}, {"data": {"text/plain": ["[[0.8630013062715012,\n", " 0.8171496530214813,\n", " 0.8705211410285828,\n", " 0.8756897741529662],\n", " [0.8655349009959259,\n", " 0.8082932897705987,\n", " 0.8614224979710696,\n", " 0.866454702226169]]"]}, "execution_count": 34, "metadata": {}, "output_type": "execute_result"}], "source": ["scores = experiment([\n", " RandomForestRegressor(max_depth=5, n_estimators=100),\n", " CatBoostRegressor(max_depth=1, n_estimators=100, learning_rate=0.05, verbose=False),\n", " CatBoostRegressor(max_depth=1, n_estimators=100, learning_rate=0.1, verbose=False),\n", " CatBoostRegressor(max_depth=1, n_estimators=100, learning_rate=0.2, verbose=False),\n", "])\n", "scores[:2]"]}, {"cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [{"data": {"image/png": "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\n", "text/plain": ["
"]}, "metadata": {"needs_background": "light"}, "output_type": "display_data"}], "source": ["fig, ax = plt.subplots(1, 1, figsize=(10, 4))\n", "ax.plot([_[0] for _ in scores], label=\"RandomForestRegressor(5)\")\n", "ax.plot([_[1] for _ in scores], label=\"CAT(1, lr=0.05)\")\n", "ax.plot([_[2] for _ in scores], label=\"CAT(1, lr=0.1)\")\n", "ax.plot([_[3] for _ in scores], label=\"CAT(1, lr=0.2)\")\n", "ax.set_title(\"Comparaison pour diff\u00e9rents learning_rate\\net des fonctions en escalier \"\n", " \"avec CatBoost\")\n", "ax.legend();"]}, {"cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [{"name": "stderr", "output_type": "stream", "text": ["100%|\u2588\u2588\u2588\u2588\u2588\u2588\u2588\u2588\u2588\u2588| 25/25 [00:31<00:00, 1.27s/it]\n"]}, {"data": {"text/plain": ["[[0.8225527835029143,\n", " 0.83387879282829,\n", " 0.8336031459553583,\n", " 0.8284593124477894],\n", " [0.8662884568803738,\n", " 0.870941831673826,\n", " 0.8731751692649438,\n", " 0.8701201310203557]]"]}, "execution_count": 36, "metadata": {}, "output_type": "execute_result"}], "source": ["scores = experiment([\n", " RandomForestRegressor(max_depth=5, n_estimators=100),\n", " CatBoostRegressor(max_depth=5, n_estimators=100, learning_rate=0.05, verbose=False),\n", " CatBoostRegressor(max_depth=5, n_estimators=100, learning_rate=0.1, verbose=False),\n", " CatBoostRegressor(max_depth=5, n_estimators=100, learning_rate=0.2, verbose=False),\n", "])\n", "scores[:2]"]}, {"cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [{"data": {"image/png": "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\n", "text/plain": ["
"]}, "metadata": {"needs_background": "light"}, "output_type": "display_data"}], "source": ["fig, ax = plt.subplots(1, 1, figsize=(10, 4))\n", "ax.plot([_[0] for _ in scores], label=\"RandomForestRegressor(5)\")\n", "ax.plot([_[1] for _ in scores], label=\"CAT(5, lr=0.05)\")\n", "ax.plot([_[2] for _ in scores], label=\"CAT(5, lr=0.1)\")\n", "ax.plot([_[3] for _ in scores], label=\"CAT(5, lr=0.2)\")\n", "ax.set_title(\"Comparaison pour diff\u00e9rents learning_rate\\net des fonctions en escalier \"\n", " \"avec CatBoost\")\n", "ax.legend();"]}, {"cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [], "source": []}], "metadata": {"kernelspec": {"display_name": "Python 3", "language": "python", "name": "python3"}, "language_info": {"codemirror_mode": {"name": "ipython", "version": 3}, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.7.2"}}, "nbformat": 4, "nbformat_minor": 2}