{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Logistic regression\n", "> In this chapter you will delve into the details of logistic regression. You'll learn all about regularization and how to interpret model output. This is the Summary of lecture \"Linear Classifiers in Python\", via datacamp.\n", "\n", "- toc: true \n", "- badges: true\n", "- comments: true\n", "- author: Chanseok Kang\n", "- categories: [Python, Datacamp, Machine_Learning]\n", "- image: images/svm_classification.png" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import pandas as pd\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "plt.rcParams['figure.figsize'] = (10, 5)" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [], "source": [ "def make_meshgrid(x, y, h=.02, lims=None):\n", " \"\"\"Create a mesh of points to plot in\n", " \n", " Parameters\n", " ----------\n", " x: data to base x-axis meshgrid on\n", " y: data to base y-axis meshgrid on\n", " h: stepsize for meshgrid, optional\n", " \n", " Returns\n", " -------\n", " xx, yy : ndarray\n", " \"\"\"\n", " \n", " if lims is None:\n", " x_min, x_max = x.min() - 1, x.max() + 1\n", " y_min, y_max = y.min() - 1, y.max() + 1\n", " else:\n", " x_min, x_max, y_min, y_max = lims\n", " xx, yy = np.meshgrid(np.arange(x_min, x_max, h),\n", " np.arange(y_min, y_max, h))\n", " return xx, yy\n", "\n", "def plot_contours(ax, clf, xx, yy, proba=False, **params):\n", " \"\"\"Plot the decision boundaries for a classifier.\n", " \n", " Parameters\n", " ----------\n", " ax: matplotlib axes object\n", " clf: a classifier\n", " xx: meshgrid ndarray\n", " yy: meshgrid ndarray\n", " params: dictionary of params to pass to contourf, optional\n", " \"\"\"\n", " if proba:\n", " Z = clf.predict_proba(np.c_[xx.ravel(), yy.ravel()])[:,-1]\n", " Z = Z.reshape(xx.shape)\n", " out = ax.imshow(Z,extent=(np.min(xx), np.max(xx), np.min(yy), np.max(yy)), \n", " origin='lower', vmin=0, vmax=1, **params)\n", " ax.contour(xx, yy, Z, levels=[0.5])\n", " else:\n", " Z = clf.predict(np.c_[xx.ravel(), yy.ravel()])\n", " Z = Z.reshape(xx.shape)\n", " out = ax.contourf(xx, yy, Z, **params)\n", " return out\n", "\n", "def plot_classifier(X, y, clf, ax=None, ticks=False, proba=False, lims=None): \n", " # assumes classifier \"clf\" is already fit\n", " X0, X1 = X[:, 0], X[:, 1]\n", " xx, yy = make_meshgrid(X0, X1, lims=lims)\n", " \n", " if ax is None:\n", " plt.figure()\n", " ax = plt.gca()\n", " show = True\n", " else:\n", " show = False\n", " \n", " # can abstract some of this into a higher-level function for learners to call\n", " cs = plot_contours(ax, clf, xx, yy, cmap=plt.cm.coolwarm, alpha=0.8, proba=proba)\n", " if proba:\n", " cbar = plt.colorbar(cs)\n", " cbar.ax.set_ylabel('probability of red $\\Delta$ class', fontsize=20, rotation=270, labelpad=30)\n", " cbar.ax.tick_params(labelsize=14)\n", " #ax.scatter(X0, X1, c=y, cmap=plt.cm.coolwarm, s=30, edgecolors=\\'k\\', linewidth=1)\n", " labels = np.unique(y)\n", " if len(labels) == 2:\n", " ax.scatter(X0[y==labels[0]], X1[y==labels[0]], cmap=plt.cm.coolwarm, \n", " s=60, c='b', marker='o', edgecolors='k')\n", " ax.scatter(X0[y==labels[1]], X1[y==labels[1]], cmap=plt.cm.coolwarm, \n", " s=60, c='r', marker='^', edgecolors='k')\n", " else:\n", " ax.scatter(X0, X1, c=y, cmap=plt.cm.coolwarm, s=50, edgecolors='k', linewidth=1)\n", "\n", " ax.set_xlim(xx.min(), xx.max())\n", " ax.set_ylim(yy.min(), yy.max())\n", " # ax.set_xlabel(data.feature_names[0])\n", " # ax.set_ylabel(data.feature_names[1])\n", " if ticks:\n", " ax.set_xticks(())\n", " ax.set_yticks(())\n", " # ax.set_title(title)\n", " if show:\n", " plt.show()\n", " else:\n", " return ax" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Logistic regression and regularization\n", "- Regularized logistic regression\n", " - Hyperparameter \"C\" is the inverse of the regularization strength\n", " - Larger \"C\": less regularization\n", " - Smaller \"C\": more regularization\n", " - regularized loss = original loss + large coefficient penalty\n", " - more regularization: lower training accuracy\n", " - more regularization: (almost always) higher test accuracy\n", "- L1 vs. L2 regularization\n", " - Lasso = linear regression with L1 regularization\n", " - Ridge = linear regression with L2 regularization\n", " " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Regularized logistic regression\n", "In Chapter 1, you used logistic regression on the handwritten digits data set. Here, we'll explore the effect of L2 regularization. The handwritten digits dataset is already loaded, split, and stored in the variables X_train, y_train, X_valid, and y_valid. The variables train_errs and valid_errs are already initialized as empty lists.\n", "\n" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "from sklearn.datasets import load_digits\n", "from sklearn.linear_model import LogisticRegression\n", "from sklearn.model_selection import train_test_split\n", "\n", "digits = load_digits()\n", "\n", "X_train, X_valid, y_train, y_valid = train_test_split(digits.data, digits.target)" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Train and validation errors initialized as empty list\n", "train_errs = list()\n", "valid_errs = list()\n", "\n", "# Loop over values of C_value\n", "C_values = [0.001, 0.01, 0.1, 1, 10, 100, 1000]\n", "for C_value in C_values:\n", " # Create LogisticRegression object and fit\n", " lr = LogisticRegression(C=C_value, max_iter=10000)\n", " lr.fit(X_train, y_train)\n", " \n", " # Evalueate error rates and append to lists\n", " train_errs.append(1.0 - lr.score(X_train, y_train))\n", " valid_errs.append(1.0 - lr.score(X_valid, y_valid))\n", " \n", "# Plot results\n", "plt.semilogx(C_values, train_errs, C_values, valid_errs);\n", "plt.ylabel('classification error')\n", "plt.xlabel('C (Inverse regularization strength)')\n", "plt.legend((\"train\", \"validation\"));" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Logistic regression and feature selection\n", "In this exercise we'll perform feature selection on the movie review sentiment data set using L1 regularization. The features and targets are already loaded for you in `X_train` and `y_train`.\n", "\n", "We'll search for the best value of C using scikit-learn's `GridSearchCV()`, which was covered in the prerequisite course." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "from sklearn.datasets import load_svmlight_file\n", "\n", "X_train, y_train = load_svmlight_file('./dataset/aclImdb/train/labeledBow.feat')\n", "y_train[y_train < 5] = -1.0\n", "y_train[y_train >= 5] = 1.0" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "from sklearn.model_selection import GridSearchCV\n", "\n", "# Specify L1 regularization\n", "lr = LogisticRegression(penalty='l1', solver='liblinear')\n", "\n", "# Instantiate the GridSearchCV object and run the search\n", "searcher = GridSearchCV(lr, {'C':[0.001, 0.01, 0.1, 1, 10]})\n", "searcher.fit(X_train, y_train)\n", "\n", "# Report the best parameters\n", "print(\"Best CV params\", searcher.best_params_)\n", "\n", "# Find the number of nonzero coefficients (select features)\n", "best_lr = searcher.best_estimator_\n", "coefs = best_lr.coef_\n", "print(\"Total number of features:\", coefs.size)\n", "print(\"Number of selected features:\", np.count_nonzero(coefs))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Identifying the most positive and negative words\n", "In this exercise we'll try to interpret the coefficients of a logistic regression fit on the movie review sentiment dataset. The model object is already instantiated and fit for you in the variable `lr`.\n", "\n", "In addition, the words corresponding to the different features are loaded into the variable `vocab`. For example, since `vocab[100]` is \"think\", that means feature 100 corresponds to the number of times the word \"think\" appeared in that movie review." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "vocab = pd.read_csv('./dataset/vocab.csv').to_numpy()" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "# Get the indices of the sorted cofficients\n", "inds_ascending = np.argsort(best_lr.coef_.flatten()) \n", "inds_descending = inds_ascending[::-1]" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Most positive words: ['excellent'], ['refreshing'], ['wonderfully'], ['perfect'], ['superb'], \n", "\n", "Most negative words: ['waste'], ['worst'], ['disappointment'], ['poorly'], ['awful'], \n", "\n" ] } ], "source": [ "# Print the most positive words\n", "print(\"Most positive words: \", end=\"\")\n", "for i in range(5):\n", " print(vocab[inds_descending[i]], end=\", \")\n", "print(\"\\n\")\n", "\n", "# Print most negative words\n", "print(\"Most negative words: \", end=\"\")\n", "for i in range(5):\n", " print(vocab[inds_ascending[i]], end=\", \")\n", "print(\"\\n\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Logistic regression and probabilities\n", "- Regularization is supposed to combat overfitting, and there is a connection between overconfidence and overfitting\n", "- How are these probabilities computed?\n", " - logistic regression predictions: sign of raw model output\n", " - logistic regression probabilities: \"squashed\" raw model output" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Regularization and probabilities\n", "In this exercise, you will observe the effects of changing the regularization strength on the predicted probabilities." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "X = pd.read_csv('./dataset/binary_X.csv').to_numpy()\n", "y = pd.read_csv('./dataset/binary_y.csv').to_numpy().ravel()" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Maximum predicted probability 0.9973143426900802\n" ] } ], "source": [ "# Set the regularization strength\n", "model = LogisticRegression(C=1)\n", "\n", "# Fit and plot\n", "model.fit(X, y)\n", "plot_classifier(X, y, model, proba=True)\n", "\n", "# Predict probabilities on training points\n", "prob = model.predict_proba(X)\n", "print(\"Maximum predicted probability\", np.max(prob))" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Maximum predicted probabilty 0.9352061680350906\n" ] } ], "source": [ "# Set the regularization strength\n", "model = LogisticRegression(C=0.1)\n", "\n", "# Fit and plot\n", "model.fit(X, y)\n", "plot_classifier(X, y, model, proba=True)\n", "\n", "# Predict probabilities on training points\n", "prob = model.predict_proba(X)\n", "print(\"Maximum predicted probabilty\", np.max(prob))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As you probably noticed, smaller values of `C` lead to less confident predictions. That's because smaller `C` means more regularization, which in turn means smaller coefficients, which means raw model outputs closer to zero and, thus, probabilities closer to 0.5 after the raw model output is squashed through the sigmoid function. That's quite a chain of events!" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Visualizing easy and difficult examples\n", "In this exercise, you'll visualize the examples that the logistic regression model is most and least confident about by looking at the largest and smallest predicted probabilities." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "def show_digit(i, lr=None):\n", " plt.imshow(np.reshape(X[i], (8,8)), cmap='gray', \n", " vmin = 0, vmax = 16, interpolation=None)\n", " plt.xticks(())\n", " plt.yticks(())\n", " if lr is None:\n", " plt.title(\"class label = %d\" % y[i])\n", " else:\n", " pred = lr.predict(X[i][None])\n", " pred_prob = lr.predict_proba(X[i][None])[0,pred]\n", " plt.title(\"label=%d, prediction=%d, proba=%.2f\" % (y[i], pred, pred_prob))\n", " plt.show()" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "X, y = digits.data, digits.target" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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SFGWEJEUZIUlRRkhSlBGSFGWEJEX9P2mEb1ToR9seAAAAAElFTkSuQmCC\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "lr = LogisticRegression(max_iter=10000)\n", "lr.fit(X, y)\n", "\n", "# Get predicted probabilties\n", "proba = lr.predict_proba(X)\n", "\n", "# Sort the example indices by their maximum probabilty\n", "proba_inds = np.argsort(np.max(proba, axis=1))\n", "\n", "# Show the most confident (least ambiguous) digit\n", "show_digit(proba_inds[-1], lr)\n", "\n", "# Show the least confident (most ambiguous) digit\n", "show_digit(proba_inds[0], lr)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Multi-class logistic regression\n", "- One-vs-rest:\n", " - fit a binary classifier for each class\n", " - predict with all, take largest output\n", " - pro: simple, modular\n", " - con: not directly optimizing accuracy\n", " - common for SVMs as well\n", "- \"Multinomial\" or \"Softmax\":\n", " - fit a single classifier for all classes\n", " - prediction directly outputs best class\n", " - pro: tackle the problem directly\n", " - con: more complicated, new code\n", " - possible for SVMs, but less common" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Fitting multi-class logistic regression\n", "In this exercise, you'll fit the two types of multi-class logistic regression, one-vs-rest and softmax/multinomial, on the handwritten digits data set and compare the results. " ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "X_train, X_test, y_train, y_test = train_test_split(digits.data, digits.target)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "OVR training accuracy: 1.0\n", "OVR test accuracy: 0.9711111111111111\n", "Softmax training accuracy: 1.0\n", "Softmax test accuracy: 0.9711111111111111\n" ] } ], "source": [ "# Fit one-vs-rest logistic regression classifier\n", "lr_ovr = LogisticRegression(max_iter=10000)\n", "lr_ovr.fit(X_train, y_train)\n", "\n", "print(\"OVR training accuracy:\", lr_ovr.score(X_train, y_train))\n", "print(\"OVR test accuracy:\", lr_ovr.score(X_test, y_test))\n", "\n", "# Fit softmax classifier\n", "lr_mn = LogisticRegression(multi_class='multinomial', solver='lbfgs', max_iter=10000)\n", "lr_mn.fit(X_train, y_train)\n", "print(\"Softmax training accuracy:\", lr_mn.score(X_train, y_train))\n", "print(\"Softmax test accuracy:\", lr_mn.score(X_test, y_test))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Visualizing multi-class logistic regression\n", "In this exercise we'll continue with the two types of multi-class logistic regression, but on a toy 2D data set specifically designed to break the one-vs-rest scheme.\n", "\n" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "X_train = pd.read_csv('./dataset/toy_X_train.csv').to_numpy()\n", "y_train = pd.read_csv('./dataset/toy_y_train.csv').to_numpy().ravel()" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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EKhP/kMLDwc1p4nt7hoSLa6KWfjOVyLD9PPr6eipXa0hachx/LnmT2S/35amZm7GzdyzrJgshKgCpkRLiFlTdzY0VQ+/mnvbNSK/rRdUm1Vl81yDGNLk964EurolKOB/Jzo2LeOCF5VSu1hAAZzdvBj3wHm7eVdmzZUnZNlgIUWFIj5QQtyh7WxsG1anNoNt83qiCk21uDHEAIOTgBuo264mji0ehY5VSBHcewZHdK2l7x5ib3lYhRMUjQUoIccu61GSbNrZGTNmZxZ6Tk52Bja3dTWmfEKLiK5uhvZxsTNERmGOjyuT2QohbX15NVPLMpUUm22zYvBcnD28i/lx44XPMJrb/+TXN2911E1sqhKjIyiRInXcNxHvGLLTZjCk6otCXucCXEEJczBwbVagmam/ucF5BTi6e9B02jTkv9WT/1qWkpyZw+vh2vnlrMC6uXjRu2e/mN1wIUSEprfVNv2nlgKZ61KTlhbbZunvzWOeQ/Ndxz00tcp6tX7Ub3jYhxLXZHXOOr/fs40BsHK5GI3fWr8P9QY1wMhpL9T6m6AhqTRnN/IyRVzx2/7blrF/+EVHhB3H1qES7O8bS7c4pGI32pdomIUTF9tjdDru01q2K21dugtSVTDN8QOTGg0W2509HaGODja//9TdOCHHV/gwL57WNWxhp8aSVciYOE0tVEqluRr4e2A97W5vrvkfeUF5AlyBWtH5f1s4TQtw0lwtSt0yx+ZuWJ6DThdcNWgTQ339//uu456bmP71TkJKAJcQNZbJYeGvLfzyv/WhosM7N5IOR57QDr6ScZXloKEMb1L+ue+SFqPyeKAlRQohy4pYJUhc7ujuSo7u9LmzoNK/IMa82/5uTs78vNmCBtTfLRoYLhbgu+2PP46YNNFSFJ7hUStHP7Mbq4yevK0iZY6Py66Hm34R18ywWCwd3/M72DQtJT02gRp1WdO77EF6Vatzwewshbj23bJAqiZf3dodO3fNf27p7M7CzGYBanCy2F0vqsIS4OtlmM46XeG7FEQNZZvN1XV+bzdaeqJsUon6YPZEzYQfpMuhx3L0DOLp7Fe8+04kJz/5IrYYdbngbhBDlh6v7lWNShQ5SFzMlxbHs97xXXkV6sS5Vh5VHQpYQRTXx9SHMnEksOfiqwoXlmw1pdKh+bf9vzLFRaLOZgC5BJSosv1ZpKfHs2LiIuOhTZGakEHFiL4+/ux1j7hIy9Zr1oFbjLvww+yGmfbIfg8EaGs1mE9vWf2ftuUqJo1rtFnQbOIVqtZrfsLYKIW4OV3dbaldKBcB4hRLP2ypIXUlxdVgN/K0fZHDkr5yc/X2Rc5SN9ROWOixR2s6lp5OWk0OAiwtGm+sv1r5RnI1GxgY15s1Dx3lCV6KGsidLW1ipk9hpzODZRg2u+poFC8sX1nun9Bud69j+9cx/737qB/choE5LEo9uJTEukpNHNlO/ea/84xq3vpOVC14gPGQHNeu3xWI28/WskaSlxtP97mfx9KnO0T1r+Pz1QYz4v89p0nrAVbVDa83Wv+azZc2XxJ8Lx9uvFl36PkzrbqNQSl35AkKI65LX85QXnsAaoNydrnyuBKnLsNZhWf+8jKLDhM+mTM9/XVxPlvRgiWsRmpDA65u2EpKQgIvBhixgfLMgxjZpXG5/qD7cohkORlte3n8QGwukaRPNfH35tnM/fByvbnHggosPL7yBw3kZ6cnMf38MY5/7hdqNu1g3DnqCk4c28c2Mu3lhTiiOzu6Atd7Lw7sq6akJAOzbtozE+CimzNiCja21F65KYBMCG7RnwazhNArunb+9JJZ8+ThhITvp1H8yfjWCSEk8x+ofpnMm/CB3jZtRum9cCJGveV3rCgh5vU4lCU4XkyB1jUxJcbzJExc2dLL2YOW5Z+9TlxwmVAV6F6QnSxQUnZbGA7+vZoTZg+mqJkatiNBZvLf3MNlmMw8FNyuztmmtWRcWzo8HjxCdlkaguzujmzamfVV/lFKMaxrEqKBGRKemEZqYwOIDRxj66wqcbGwZUKcWE4Ob4m5/5fmbCi4+fCPt3vwTtRt3vRCictVq3Jm6TXuwZ9MiOvR9BIDM9GROh+wgoGZTAHZtXkKnAZOLhKWaDTvi5uXPiSObqdekOyVxJuwAuzb/hIubD6sWvoi2WHBy9ab38BdZOncKHXtPoJJ/nVJ4x0KIgkN2UPJep8uRIFWKju6OzP/zmxQeJoTie7Gk2F0U9MPBw3SxuNDPcGGx3WrKnue1H08eOMToGzDBZUnN3LqdLaHhDLN4UEP5cDQmk+l/bWRscBPGNLGGHqPBwLH4eF7buIWxFi8mqxokms0sOxbF2IhIvh88ABe74te5K1gTdSN7ovLEx57GP7Bpsfv8A5uQkLu8TGZ6Mos/Hk/TdoNx97L+4pOVmYqTqzcAGamJnDq6BYPBhlqNu+Ds5kNWRlqJ2/Hnr+9iUAbueeRz6uSGr6O7V7P44/HUbNiRff8to9fdT1/PWxXitnYjwlNBEqRuomvpxSo0kCNzYlV42yKiGI9rke2VlZEqBjuOxsXTwq/yTW/X0bh4VoeeZLauhovB2qNaXdkTrJ2Ysnsv/evUwsfREbPFwsx/t/GMrkyQwfqdyhUbJmtfZmXEsOToccY3DSpy/ZtVE1VQJf+67Nm6rNh9oQf+ISbiCGdO7SEiZAdN2g5i2MSP8vdXr9WCv5e+w5aVn3Ly8Gaq12uLxZzDDx+MxpSdyehJc0rUBovFwrH9fzN00pfUbXpH/vaGLfsxaPy7rPvpDQICi35eQojLu7jmyafot9VSc91BSilVDfgO8AMswFyt9UeXP0vkuVwvVoMWAYywLMh/XdycWNKDVbHY29qQpi0XJWjrsFq6NmNvWza/+6wMPUkPi0t+iMrjq4y0Uc78FX6a4Q3qczQ+ATuzJkgV/nVPKUVvixs/hp4sEqSKTLZ5kwR3uIcVC17k4LbfCGo7OH/7oe0riD59kLFPzCcnK5OASXPye6IAdmxczKbVXxDYoD3elWsRF3MKU3YG419YRlryeea81JPw0F0lKjhf8/MM0lMTaNz6ziL7mna4l0UfjaN+gYAlhLi80qh5ulql8V3ZBDyltd6tlHIFdiml1mmtD5fCtW9rR3dH8jIF6iw6dcfW3Tv/5ag/hhQJVgV//spko7eevnVrs3L3EVpanAoVlu/TGVhsbWjo7XWZs2+c9JwcXCn65GCiNnHWnMUPew/yz8lwGvtVwvbiFJjLXilyLJYi26802WbooU1sXvslcdFh+PjVpFPfh6jdsON1vR8AO3snJj7/M1/OGMqWlZ8SULslkSd3Ex12gInPLSGwXpsi55w5tZ9fv3mGKTM241fd2l6tNSvmT2XxR+OY8OLv3DXxY/5a9v4Vg5TZbGLzqi8wGGzIzkrDwcmt0P7M9GQMNkYC67W97vcqREV1o4ftSuK6g5TW+ixwNvfPKUqpI0BVQILUDWBKisv/87cXzYP15MB43CP3AZC9f2+xw4QSrsq3e+rX5Y/jocxIiWGIdscTG7bpNJYYEpnRuSuGMnpqr5V/FeafOsNgi0d+wIvU2UwzR9JUOdIt043UTDMrz4cSbc7ipMqklsGh0DU2qFQ617jw7y/vl4DLTba5fsXHbPh9Nt2GTKXjgP8ReWIX334wjjsGP063AZOu+33VqNuKlz8/wv5tv3E+5hTtu4+madvBGO0cij1+05q5dB4wJT9EgbW3rf/oN3l9Qg3Onw2lfnAfFn4w+or3Tk2KRaNp1Hog/66ewx13P1P4Xis+okXHe/PnrRJCWJWH8FRQqY4TKKUCgWBgW2leV5TM+797QX4PVnfoRH4PVp3ajrT9uM9le7BAglZZc7C15auBffnh0BG+OB5Kak4OzStV4ovgtjT28b7yBW6QHjWq8fmuPSxIj2eY9sRBGZhtjuEegyeDDJ75x3XSrrxkiOIlHcU0XYUGOJCJZqVOYpsxg58aNwSsISpvKG9jRtH7aa0JPbSZNUve5ukP9+HhY60lDGzQnsZtBvH+E8E0azsYT5+AoidfJaOdAy07Dy/RsTFnjtO0031Fttsa7Qmo3YLYM8cxm3Jwcrny35Wjszs52Rl0G/I089++i/TUeFp1H4O2WNj25zy2rZvHCx/uuur3I0RFdHHNU1mHp4JKLUgppVyAX4DHtdbJxex/CHgIwNVDCqZvlrwerKO74WgxPVgFOa78VubDKgecjEYmNm/KxObFP1FWFow2Nswb2JdXN2zhgZgwvJQt0WTxuiocZGyUYrjFk8/s4vlIxZGSnU221rTz8+PbDv3wdXLCnBvmf7EbAxlFFx8+tHMVy757nqT4KJp2uDc/ROXx9K1O0/b3sGfLz9wx+PEb96aL4elTlejThwoVhgNYzGZiIo7g5l2VP5e8SetuV671srN3olm7IezZ8AOTZ2xh4/L3+fqNQaAUBmWgc79HZH0/cdsrbobx8hKg8pRKkFJKGbGGqB+01kuLO0ZrPReYC1A5oKkujfuK62PtwSqoaLH7lXqxymMPlkVrFJTbyStvVT6OjnzStyex6ensjI7hky3bMeqin7G3ssWCZvV9Q4nPzMTR1hbn3Ckb8v4tec+cRUpI0RAVcnADCz97hBH/+5bQg/9gZ1f8ZJ5uXv6kpyWW4rsrmQ49H2DBxxNo1nEobp5++du3rPwUo50jv3/7DFlpSdz3cMmet7lr3Aw+eakvMZFHCO4yksrVGrH9z69xdvGk/30v3qi3IUS5llcwnudGPnFXGkrjqT0FzAOOaK3fv/4mifLi6O7Iy/ZiFbfoc1nWYR2IjWX29t38dy4GA9CtagCT27SgtofHFc8VJefr5ET36tV4Y/NWonUOfhetr7dbpxHk64NBqfxZzfPmiALY89TaYkMUWJ9iu3P8u9QP7k1Odgbrl86k57DphUKx1poju1bSf9i0G/QOL61O48506PUA7z3enNZ3jMPDJ4BDO1bkTtbZjJYd76FV5/suWWN1MWdXb56auYk9W37m8N7V2NgY6XvvczRu2Q9DOV4WSIjSVN5qnq6W0vr6OoeUUp2ATcABrNMfALygtV55qXMqBzTVoyYtv677ivJnyEAP3J+755L7b2TI2hNzjilr/mSMxYuuyhUzmjU6maU2SXw3qD813d1vyH1vZ5/u3MOmwyd4XlfGXVl/JzuqM3hLRfNpv1408fXNP9YUHXHFOaK01jwx1IW3FqdgtHPAbDbxwZMtCWo7mJ5Dp2NrtMOUk8W6H1/nyK4/mPrOv2UWNqIjj7Jjw0LSUxOoUacVLToNxc7+FvrOL0QZK881T8VpFOixS2vdqrh91x2kroUEqdvHkIEXeoOKC1mqlCYZHfvbH3RLsKW7ofAj5Ess8Zyv5szMHt2u+x6iMLPFwgfbd/LzsRDq2TiShoV4TEzr1J6egRdqe6LDQvntTAwH6/fC07cObbqOxMnFs8j1tNY8M8qX5+eE4OphnXQ0Of4siz4eT9Spfbh7+5MUd4ZqtZozavLcQkNrJZWcGMPGlZ9xcIf197yg1v3p2n8Srh6VrvFTEEKU1M2cJLO0SZAS5dKrzf/m5Ozvr3jclYrdU7Oz6bbwRxar2theVBeVoE08wmm2jR11XW0Vl5aYmcn+2PM42NoSXLkSxgKP66/cs4vXjp6iaZeRVKoWRPjx/wjZ+ycPPru42Lmgfvj0YVw8/Ol//5uFtq+Y/wwRx/9j1OS5+PjVKrYdyYkxbF49l2P71mNjtKNZuyG0u2MM9g7OACScj+DDaT1p2LIfre8Yh0az46/5HN29msff/KtUngAUQhRVFpNkljYJUuKWYOvuzcDO5kLbiu3FovAQYWp2Nt1++JHFhqJBKkmbmEg428deeV4fUXrMsVHEpKVz99a9PPzWZvxrXlhs+eieNSz+aByvzDlWpJYo4XwEH77Qg8ZtB9GmxwMYDDb8u2YOuzcspHJAAxyd3AjucDetuo7EaLywAHJs9Ak+ebEPDVv2p3nn+8jJSuffNXNIiT/L5FdX4ejkxvefTMDNpwb9Rr1e6J4rF0wjJT6S0VO+vLEfihC3iVu95qk4EqREhfHkwHjinptaZPu4zTvplepE14uG9pZa4jkb4Mysnt1uUgutQ15pOSacjLbY3qaTKZqiI7vP4aUAACAASURBVFhizmS9DuLe/yu67twXr/Sh/R3307LTsCL7kuLP8vfvn3Bg+wpMOVlkZaTQpP3dNOs4jKyMFP5d/TmWnCwefXE5dvZOZKQnM/+9+6nVpHuhSS211vzwwWgqVQ6k3/AXmTrSm+lfhePi5lPofqlJsbwxMZB3F8WX2pOe6akJ7PtvGempCVSr3YK6QV3lKVJRoVXE8FTQ5YKULFosyiWtNaeO/c2+/xaSmhyDV6XatOg4lvd/D4aLniRs0CKAnndsZu70gZizobNywQT8qZNYqhL5plZdzLFRADd00ecci4W5e/bx4+GjZJrN2BoM3F2vDpNbtcChjNbIKwvm3MLyLVuy8fNrVOwxVaoHkXg+sth97l5VGDLmLYaMeYvP3xhM3aa96Drkyfz9QW2H8PWbd/LZa4NIij9DUvxZLBYz9z/7c6HrKKXoPmQq3868l75DX8BsysbRuegTnI4unphMWVgsZmxsrv/vacfGxfzy1RPUbdoDD59qbPvqKewcnHj4+V+kFktUKLdawfiNcvt8dxe3lE2r3+Ho3pVUqTUCf99AUhIOsuzbh+jc7xmCWg4tdKx14edA+oydz68r3+aj3GVyatfqwOqnelEn+TwAkRsPFp2uoUCxu0VrkrKycLI1Ym979U+DTft7IzFn4nhTV6GawZ5oncP842d4LC6BL/r3LlGPRHpODmtOhRGZkkp1Nzd616yB4y0UwvI+38MDXsPz2JeEH/uPTgMmFzku/Ph/1Bvy1GWvlZIUy6mj/zH22cJT00We2MXpkB3UbNSZlt3vJzbqOFtWfc6Cd0dgtHPA1aMybXqMJ6B2C9y8qpCRloiNrZFqdVpxeMfvNGk3pND1Du9YQY26bUolREWFH+TXb55h0lsbC63Ft3LBCyz4+AH+76Xfr/seQpS1gvM83cp1T6Xl1vkOLSoUi9mEMtgUGy7ORR3m0K6lNO30FUY761Cdq2dDPCq15Z/fJ1GnUR8cHN2KnFe1RiuqPvoLZlM2Shkw2NjyY8E5GztZe6/y9PffT9xzU8k5e5oFYWeYfyqKdJMZjZk7/Px4plFNfAMCS/R+jsXHsz3yLHOpjp2yDuf5KSNTdWUei49kR3Q0bapUuew1dkXH8Pi69TTAgZpmI7/ZnOL9bTv4pHcPmlbyvey5lxOXkcG6sHCSs7Np6utL2yp+pT7MVHCeqOSZS9kb4kCbbqNY+8tMju1dR/3mvfKP3f7XN6QkRFO/WQ/OR5/EwcmtyHAbWBftdXLxxGh/YVJOs9nEd+8MY+j/fUGTdncBcOLQRrb/NR8Xd1/qB/fm/JnjzHvjTjrf+T+c3XwIrG9d9Lfvvc+x+IvJuHpUJrBBewDCjm7l1y8f475HPi2Vz2HT6rl0GjC5yFp8fUa8yhsPBRJz5jiVq9YrlXtdLVNONsf2ryc9NZ7qdVqVWTvErelWmyTzZpIgJW4arTX7ty9k16avSUoIw97BnaBWw2jf438YC8xgfWTPr/gG9MsPUXmcXKrj4dOSE4fX0rjlvZe8j42t3SX3WXuv8v7sBZ3msWn1OxyPiaZm6/dxca9HTlYiB098x5h/1/NTB3As0Dt1qScIt0RG0RHn/BCV3xal6Gx2YkN4xGWDVGp2No+vW8+TZl+CDc5gADRsN6cyec2frBkx9Jp6pn46cpT3t++ijXLG02LDcsNRXFwd+axvL7wcSzZp5JWYoyPQkL92HiHW7c6uXjw4dRFfvzuKgFrB+FUPIvzYVpLizxDc4V5ee7QhNkY7MtKSqNmgHfc88B6V/OvkX9fTpxqm7ExiIo5QuZp1jb6Q/X/h6lE5P0SZTTl8/95IRj+1sFBYa9PrQd5/siUWs4kJzywGoHGrfgzJnMH3743ENrdQ3ZSTxV3jZtK4Zd9S+SzOnTlOUIei/zZtjXZUq9WCc1EhZRJgDu9ey8LZD+HjXwc3r6os+/Z5atZvx/2PzcPe0eWmt0eUfxW95qk0SZASN83mNbM4dmA9gQ0fx9WzCZlpZzgd8jVR4eMYNvEHDLlDK5kZKRjtiq9lMtp5kpWZUmptSk+NY99/C2jedQF29ta5jYz2HlRrOIVj6dG87H03zTqNB+DFmj9ferqG1CRytKXoKtCASWvi0tMv246VJ0/RGAdriCqgjcGFOqSw9lQ4g+vWvqr3tu9cLJ/t2MMHBFAFOzDAOK35JjmO6X9v5LP+vS97fnRaGhkmEwGuroWmNCioSIi6SJ3GnXllzjEObF9OwvlIegx5gshT+zi4cxUPvbqWKjWCyMnK4N9Vn/PJS3145t2t+XVEtkY7ug16jEUfjWX8C8tw97LOI+XrfyGIHNuzBh+/2oVCFIC7lz/tek/g7Mm91GncOX97y05DCW5/N2dPHwKgSvXGpTqpp4dPVaLDD1KvWc9C2y0WC9ERh8tkioVzUSEs+PgBxj23lFqNrGtAmXKyWPLZwyz6/FHGPbngprdJlE9S83RtJEiJmyI1+Rz7/vue4G4LMNpZC34dXQKo23w6h/6bzMlj66nTyPqDPaBmK3ZtWUqVwMGFrqG1mcTYbfhXH1Nq7Yo8tQ13n2b5ISqPUgrvKj0I2fMHjZsMAuDlvd2hU/ci13i1+d+Mioym88MvMk774KQu/GDO1hbWqgw8ki7/w/p0UjJ1zNawc7HaJiMRKVcfHhcdOMwQiztVDBd66JRSjNZePBAbTmRKCgGuRfvnj8TF8cbGrYQlJ+GsbMg2wITmTRnVuGGhIcG8EOU9cxbzQxoXuU4eO3tHWnYeDkBGejILZz/Ekx/sxdPX2rtntHek65AniY06zqY1c+k/fHr+uT0GP0F2ZhqzpgThX7MZyfFnycpMw2KxYDAYSE6MxrtK8QGzctWGxEcdL7LdYGND1Zo3ZkHojr0eZP4HY2nWaRjuXhd+Gfh31We4uPlQNfDmL0S9cdUc2vd5OD9EAdga7bn74U95Y0IN4mNP4+Vb/aa3S5Qft8LCwOWZBClxU4SHbMSzUpv8EJVHKQPeVXoTcnBtfpCq33QgW//6mDMnFlOl5r0YDLaYTemEH52Dp28gftWal1q7DAYbtKX4dd/MpnSyMhKJPLWNKtWCLzlk+PLe7ljMJnL0dJ4lloe1G/Vx4BTZfEUydj7BnDq3lcyo8PzpEC5e+DnAzZWNNmegmNlITtrmcKfr1Q+/hCcm0UUVPc9OGQg0OHA6OYXKTk6sCz/N9sgoHGxtaVnFj9c2/8tYsyfdVE1sUYSZs3h39wEsWjOmiTUw5YWo5JlL2RhS8iHC06E78aveOD9EFdSs0zDWLnq5UJBSStH/vhfpfudjhIVsx9bWnmXfPs9fP79Fz6HT8A9sxvqfZ+QHq4JCD/yNf40mJW5baajVsANd+j/K+48H06r7GDx8q3FszxpiIg4z6eWVZTIFwplT+2nd80EWfjiWwzt/RylFo1Z30nPoC1Sr24qzpw+XiyBlNpvYt/VXdv/7CznZGdRp1JkOvcbj7Opd1k2rkKTmqfRIkBI3ib7MDxFFwQRha3Rg6MSFrP7pKXb/vQQnl2qkJp+keu1O9Ln381JtVbXaHUj+eSqZaVE4OF/oQThzcgmnj83Dxa0ma5e+RlZGDF36P0/jFsWvJaiUAZPBBl1vJG+HLSMl4yTO9p741BxK9WoDOLd+GN93mofR05cXa154TP/k7O8xRUfQ28WOTyxpHCCdJurCr4K7LWkct8mid4ElV0qqipsLYSlZNFKOhbabtCbCkomTrS1Dly7HOdNCO7Mj6WhePhZCH+VGT8OFtQkDlT3Paj9e2Luf+xo1wCY+Jr8n6mpCFIDR6EBWZlqx+7IyUvJrly7m6OxOw9zhuwnP/siXb9/Lno2LCGzYkazMVP749lkGjJmRP0x3eOcfHNq+nOc+3HlV7SsNPYc8SdM2d7Jjw0LORx6hRfu7CH56IXb2jlc++QawNdrz29dP0P2uqQwcMyN3Rvdv+PSFLtgaHXB1v/YHGUqLKSebr2YOIzU1no79/g8HZw8ObF3KzCfbMuW1NfheotdRlJzUPN04EqTETVGjTmf+XvE6OdlJGO0u/JDW2kLc2bV07lP4EXl3zwCGP/wjCedPkZYcg4d3IC7uV7+22pXYO7jSoecT7Nj4DNXrP4KHTwuiTv5CTMQfNO/yFY7O1pqWtORQNq6ahpOzFzXrFx3eUwYDtRv1JsdkJqjH4kL7IkN/oHbD3iiDAVNSnHWIME/uUKGtuzd9Gm5g5px7aGqxp6bFnlBDFodUBh+0bIp9XDRmrm7R5/uCGvLC2Q201y54qgv/1ZeSQE0PD+bvO0CzdFvG4Y0yWEPuP6ZkOhuK/mpaTdnhgQ3HQ4/RwN3VWhN1meG8S6lRrw1pSbGEHd2a/+QcWB9E+Hf15wR3uPuK1/D0CWDqu1sJPbSRqPBDBNYOZseGhbz1SB1qNe5MbNRxkuPPMuG5n3DLXbPvZqvkX5cBI14uk3tfLCc7g15Dp9N18BP523oOnYbBxsjG5R9QrXaLMmyd1ZZ188gx5TD57c3501AEtRnEht8+4Ke5jzHp5T/KuIW3Jql5ujlkZnNx02xY+TahhzcS2HAKLh6NyEo/S0ToNxiIZ/hDi/OLzctCyMFVbN8wl/PRR1DKloat38bdu3A9y/mzG0g6t4IRjy4p9hqJcWEsnjMMb//eVKpqfQrs3JnVxEWt5b5HfsLDO/CK7cjKTObo3uUkx4Xh7luLp5+9nyDnWADcI/cVW+x+ubUIv9izj+/2H6I7LnhpG3bZZJJoB+/17M6431fxNYE4FXjS8AlTOA/Y+BbqFQNr0HmQMOZ0bEHrTz/j12sIUXn2/reMJXP/R58Rr9Cw5QCS46P4+9d38pdzuXjZmJI6fWI3Z08fws3Dj3pNu5fKvFClIfbsCQ5sX4HFYqZhcG+qBl55uFFrTcjBDWz/53vSUuIJqNWcjr0exMO76lXd22w28fQIL15fcL7I03kZqYm8PM6P939MKvNZ1999phP97n+rSJG+KSeLV8dX5fkPdxaqOROXdvGQndQ8lQ6Z2VyUqcS4MLat/4yTx9ZjNudwdNc0srNSsLN3IajlUNr3/KBMQxRA3aB+1A3qR2ZGMl/OaI+bV9Efdp6V2hGy5/Vizrby8A5kxP8tZcc/czi6y7qMTe0GPegzZCluniV7WsvewY1m7S6sC7j2bzNr8cp9VbjY3dbdm1F/DCkyyShcqMGaUMWLXh6tWZ2QSnJmNqP9KtGzRnXCkpPxNhhx0oXrijoZXFlhTiTIxrHQD9ftOg1XeyPes1fza4gjFouF4/vXE3PmGO5e/jRu1b/Q2neX07zdENzcK/HXbx+wdtGrODi707rrCLpN+fKaQxRA9dotqF4OelfyaK1Z+s0z7Nq4mKYd7sHG1o45bw6hdqOO3D9lHja2xsued3DnSjoPmIJnpRoc37uOd55qx8Tnl1CzfruSt8FiQWtLsfV9tkZ7tMWM1pcbdr850lLi8fQtOnxta7TH1aMyaSkJEqQu4+JhO6l3urkkSIkbwmIxEx6ykYiT/3Fg+4/41biLxu0+BTTnIlcTG/kHwx9ejJdv+ap9sDXao7UFU05KkXmssjPPY2dfdCLQgtw9A+h51xv05I0b2UwATElxfHvRcjlgnXS0v//+/Nf6uak8VHDOqNgoqnhV5rw5mwRlKjTs1195sJpw3rac5W6DJ27Y8J9OZalKZO6nn7Iv1JHz0SeZ+/Y92NjaE9igA/u2reDnL59g/NQfqN2wY4naXqthB2o17FBom8VsJik+CntHVxwcb/xPgqyMVP5b/y0xUaFU9q9Lqy734ezqdcnjzaYc0tMScXRyJ+z4Ns6EHcDV3Zeg1gOLrX/6d908Th7dynOfH8fR2TqcPWDMDObPuJvVS9665NDf8QN/c3jXap54dweOLtaHM4LaDqZecG+++3A8L356qEhh/aXYGu2o3agT+/5dQsuuowrt27N5MfWb9SjxtW6karWac3zvOnz96xbaHh8TRkpiDD5+NcuoZeVbXu+T9DqVLQlSotQlxoWx9JsHQDmSk51OlZr3EVBnRP7+6vXGYzA4sGXtB9w5anYZtrQoW1t7ajfszdlTS6he/8H87Vprok4upmHwXWXYupI5ujvSOtlongJhK68X68ddu7Bg4BN9nuepjDG3RyIVMxYbhU+NSnwWE0t6dhbBXh788dJ0dnmMxWKxMPfte2jX+2E6DZyS35NxdM8a5s28j2mf7L3qp6y01vzzx6esX/YBFouJ7Mw0Grbow13jZt6weZd2bFjEz/OeJCcrHYONEXtHF1b88BLjn/q+yOScOTlZrFgwnf/WfweA2ZSNvaMbjdsMIvH8apZ89QT3P/Y1jVoUnpdr46o5DJnwcX6IAjDaOTDkwQ+Z/Xxn+g6bVuzw47a/F9Bp4GP5ISpP49Z3smbhy5w8sqXQ3FhX0n/4dOa9MwJbWzuCcicy3b/1F/749jkmPl/8MPXN1n3QY3z1zn1Ur9eGanWsoyfpKfH8+MmDdOo7ETt7SQgg0xSUVxKkRKnSFgtLv3kQb//B+NW4k62r+uJXY1CR4/xq3MmOP+9GWyyocvAbcUFd+z/P4jnDyM48h7d/T7TFTOyZlVhyYmjX49JDe7cCU1Ics2o9xS9/j6VRl28IP/QJY+MP0E47kYyZ3eZEJtWriZ+TIycTnUi2KBJ8KzE/IogmVeDY/r+wtXMqFKIAGgT3oUGLvqxf/jEubt6YcrJp0KwH1WoHX7FNq356k4M7VjLhxd/xr9mMzPRkNvz2Ph+/2Iup727FqZiFhq9HVNhBFs+ZxJ3jZtGmx3hsbO04vm8dP378AN+8N5qXPz9S6Em2D6fdgaOLF0+8txOfKrWJjwljxfypJMVFMvGlVYQd/Zdv3hrC1Fn/4lXpwvDU+bOhVK/Xpsj9favWw2IxkZGWWOzSOKnJcXhVDiyyXSmFV+VAUnPXjiyp2o06Me6pBfy+8BV+nD0BtMY/sCkPTF14VcOEN1LN+u2458H3+Or1gfhUqY2jswdhR7fSptto+g9/qdCxaSlx7Ni4mPhz4fj41aZVl+Gl/m+kPJGn7co/CVKiVJ0+sRmNEb8ag9HaDNqCwaZofYbBYGetz0AXNxl4mXJx92P0lOXs376IE0d+RCkbGgf3IajVMOzsna98gXLuwPbFVKo+CEeXAOq0nUla8glC4vZisLHH7vSvrDDWIzrsOAG1J1HdrTbxiUdZ9PmTRJ7aj4OTK4EN2hepqdFak5Ycx8HtvxHc6T6M9k589c5wqtVuwdgnvr1k/VR6WiIbfp/N1E8O5tfAODi50WfEK8RGHWfrn/PpMfjxEr+3xLgzbFn7FWEhO3By8qBV1xE0btmv0PDV0vnP0H3I03Ts92j+tgbBfRj15A8seHc4f6/4mF53T8XRyY3Na+aSEBvB5Le3YGu0/jv2qhzI6KcXMeuxJpw6vJlajTvTsttotqybx52jXsu/podPNc6G7afGRWEl/lw4AI5O7hQnoGYzQvb9RaNWAwptz8nOJOzIv9w19q0Sfx556jXpxpNv/0NaSjzAZYcwy0qLDvfQpPVAQg9tJCcrg1GT5hR56vLw7rV89+E4GrbsR5WazQg9soVVP77Og1MXXVUvXXknczzdWiRIiVIVH3sCF/dGKKVQyhY3r6bEnd2Ab9XCT+OcP/sP/oFtMRhKb3mO0uTg5EGbbo/SptujVz74BsrKTCbk4CrSUmLx8atPzXrdr7swPzkpGkfnC7VMzm61cXaz1qolnNvC6dD/CO72HbZG63dvR+equPsE89dv4xk85nViIo8UuebuDT8QF3OSF+acwNnNOrQ3YMwMvn/3Pv5Y+ApDxr5dbFtOHdlKtTotiy0kDu48gi0rPylxkDoduos5b95Fsw730nng4yQlRPH7wlfY99+vjJw0F4PBgMVi4XToLu559Isi59cO6orZlMOWtV+xadUcGrfsy+kTe2jZ/f78EJXHxsaW4E7DObp7FbUad6Zmw07s/mcBx/avJyMtiRp1W9Gxz0RWLpjGhJf+yC+it5jN/PHdc7Tpfv8li8079ZnIrKkdqB/cmwYtrMOMOdmZLJ07mVqNOuLrd+11hc6uXmRnpbN/23Kys9Kp1bBDuZiMM4/RaJ8/X9jF0lLi+e7DcTwwfTk1G1yorzu+70++njWSl+ccxd7h1vxFR6YpuLVJkBKlytXdn4y03/NfV6s3jmO7XsFgY49XZes3v/jofzl99HMG3T+nrJp5SzhxZB2rl0zF3TsYe0d/Du9Zw4Y/3ubuB+bj4XXtP/x8/eoRFXEIH/9uhbZrbSYl/hCVqvXPD1F57Oy98PbrQnZmKtHhBzm4fQXZmamkJZ8noE5L/ln2HoPGv5sfosBa6Dx4woe8/0QLBox4udgn8gy2tuRkZxbZDtb5j2xsig8bcTGnOBtxBHfPKgTUss50//0nExky8SOCOw3PP65ll1F88lxH9m/7jebt7+LX+c8CYMopek/rMLMNT32wB3sHF/5c8iYpu1aTnVn8OokmU1Z++2IiDhN6eDNJCWdx9azC4s8n0bhlP1zdvZk1JYiW3UZjY2vHnk2LcfOoxOhJl55Y1su3Og9OXcSCjx7E2d0Xr0o1OHloE7UadmDUlC8veV5JbN+wkKXzniagdjCOzp78/NWTNG07iOEPf3LJYFcexMWc4u8Vn1A7qGuhEAVQr1lPqtdvy96tS2nb/f4yauG1kZqniqFMglRVx2Rebf43AEkBzfh4U90rnGGt7RDlX8363flz2UvEx2zFq3J73L2bUS94GqcOf8bxPW9iY2PEw7smA0fNJqBm0foRYZWcEMnqJc/QoNVMXD0a5G8/e+oXfvvuYcb879qXG2nadgT7t92Jl19n3Lysc2VprYkM+Q47e+ciISqPjY0zZlMO3QZMYsG791GzQXu8/eqwYfn7pCTEUK2YeiBP3+oY7R1JSTpXbM9HnUadiT3zAGfDD1KlRlD+dovFwn9r59K68/BCx6enJbJw9sOcOLKFanVaERsVgoOjC73vfgaTKZvmHYcVOt5o70iXQU+w/Z8fqFG3NTv++YEWXUby39ovGTLhw0LHHty2DG+/WnjkFrjfOX4Wp0N3suuf7xk4dkahJwmzs9LZvWEh45//lYTYCP757X0Gjn2H9n0mApCVmcaiD8fg4uLJ2Cfms2/bcnIykrnngXeo16T7Ff/u6jTuzMufHyH08EZSk+MYNOo1KvnXISUplshT+/D0Cbjqov4TR7awfMF0/u+Nv6mSO5dVVkYq380axvLvX+SucTOu6no3Q1J8FD/MfpjIU/vw8KnG+bOhzJ9xL8MmzcWpwPCkf2Cz/CHT8k5qniqeMglSymCDnaP1X477mX28WGvflU/S1tB1OSepxbLfE0ujieIa2djaMej+z/nt24nEnW2Bi0cQmWnhmLLj6Nr/eeoG9cPZteyXpChtFosZi8WErW3J5lK6kv3bF+Pr36tQiALwC7ybc5G/cyZsxzUHUTePqgwY8SF/LH4CZ7faODhVJSluD07O7nTs8zT/rf+KqrVHFvphr7WZxPP/4l25Pz/Pe5LJb23If7pKa80bEwM5G7afuk3vKHSv5IRosjPTii2qButTbIPHvsVXr/VnwJgZNGjRl4TY0/z181uYsjNp2eW+QsfPf280Xn51ePGr0xjtHLBYLOz46xt+nPsY/jWaFBtQPCvVIC0lnqP7/qRBi770Gjadj5/tgI2tkY79JmHv6MreLT+ydvGrjHmm8FNsbXqMIzriEF+81IuBY2cSUKcVZ07uYfk3T+NVuSb7tixh65q51GjQPj9EAdg7ODN88jzefLgWA0e+wuD7r346DIONDfWaWOcNS0uJZ/7793Nkzzo8fKuTcC6cJq0HcO+EDwo9FXgxi8XCiSObSYqLYtv6BfQeNj0/RAHYO7owbNKXzHqsCf2HTy8yaWdZMpty+PTVATTtMJTx05Zja7QnOyudlQueZ95bg5n81sb8v++I0B206zbqClcsO1LzVLGV+dCenUPJo7hX1P7L7ne37CO4BOvZ7gm4i983Xb42R3rArp1/9RaMf3o9h3cvJS4mlEqVA+k/dCWuHhVnQr2M9ASSE86glIGdm74i9NAqLBYTXr71aN9jCnWD+l75IpcRH3sSZ/eik+gqpXBxb0Bi3Knr6tGrUbcLDz23hZNH/yI9NQ4fvxFUDWyN1hb2bJlP2OFPqFbvAWyNLuRkJxF+9AsqV61FWMgO2vWamB+i8trU/a5nWP71U0yesTm/TsVisbBywfO06DT0so+vt+1+P26efvy17AN++WISzq7etO42ktGTvyhUpB5xci8xZ47z4Iur8tfUMxgMtO31IId2rCD0wN9kpCXh6OxunTB03zoijm/n1JEtVA6oj8Fgg9mcg5tXFabM3MJfP7/FR8+0JTszHSdXbya8+Eeh9wWQnZmGm4cf56NPsPCDMaQkxWDv6IrFlE3D4D4obcbTpxq9hk4r8r4cXTzwD2zK2YhDuHpUuua/K4vZzJw3BhNQtw3TvwzDwcmNjNREln/zFHPevIvH3/yr2AAZcXIv898bja29E5UDGhAeuoO7HvmsyHHu3lVx96rK+ZhTRWZd11pz8sgWdm/JXUi4cWeCO9xzXROnltT+7ctxcvWhz4hX8rfZ2Tsx+MEPmfVYE04c3ECdJt3Yv3Up0eEHadp28A1vU0ldXPMEEp4qsjIPUlfD5gqLfpakbNmclUHwmV8JrnWZg3JXzblSD9jHm+pK4LoEB0d3WnQcX9bNKHVZmSn89dvLnDzyJw5OlUlLicTByZ+mnb7A0bkaibE7+Ou318jKSiGo5dBrvo+7VwDnok8CPQpt11qTmnScyFOOmE3Z1GsyAEfna3sCy9boQL0mhZ8MU8qGex/8jj+Xvcjuv+/D3tGXrIxY6jYfzLj/fcvXs0bSaeD/ilyrQ79H2bTiI2ZOakDrO8Zh5+DMvs0/imRiaQAAIABJREFU4eDowsPTfgWswSr00AZiIo/j4RNAo+De+XU5DZv3umSRcZ7ToTup26xnfogqqEm7u4iNOs5Psx9kwJiZLJg1HIu20KBFHxyc3Nn771Iq+9fj+N51pCTG4O7lz90Pzebuh2aTmnyeNybUwOmioTKzKYctqz5l8P1v4uzqze7NS8jKTKVOo04Ed7w3P0ycPX2IhHPh1LxoMlKLxULC+QjsHVzZ/s8PhIfsxMnVk9ZdRlDJ/8rlDHmO7F1HTk42d038OD8wObp4MHTSl7zxUE12bFhI666FexDT0xL54o0hDHrgPZp3vg+lFB8/24G46BNFJr3Myc4kOeEsLm6F37/FYmHRZ48QengLbXs+iKOLB9s3LGLd0llMfmUV7l5VSvwersWpY9to1Hpgke1KKRq26Mf/s3eWcVVlbR++TtDdKSGNogiIhQp2d+dY2Dozdo/dMXaM3d1dKCiKgYCKAgoooTTScOL9gKIMOKPP+DjzPsP1id+OtdbZ+xz2f9/rXv/70oHZXD2ygLevnzJkypHvIu6+hAqTzH8f30RICQSCbUAbIEkul1f9s+P/TkRKKl8suP4oAiaTy5lh/QVTku+ZG93lD/dXCLJ/PnK5nBO7fJHJ9XDz2YdYQQOpJJdXETuICJ5P9Xrr0TGshYLSHAIuTMPJtcNnk6V/T2Z6HPm56WjrWaGkrEE1zx7sW98ZA/PmqKp/zC1Kjr9MXu5b3mWpkhYcgP/FpTRuPwcn1w7f5DPm573j7vV1vH55B4mkAE1lFRq0WkwVr74oqyiipWfK27hwnDxalTpPIBAgFIlp1XkmyYmR5GZk07b3HBxdmyAUCkl585Iti7uBQIiVfW3uBxzi8OaxDJq4H0u7ml80NlV1XTJSypbDAchMicO+SgMKC3NZOc6DOs19ad1vUYm4SEl8wbqpDXCt25mNM5vSbsAybKo2JCn+OWd3TUZFTYeNM5vQqu8CbKt6k5wQydndU9DWNcXZrQVCoRBrh1rl9l3Lpw+Xji3DpXZHFD552Qu+sRexWJEdK/qib2qHY40WZKbGs2pqIxq1/5EmHcd90eeOehpAtbqdSwml6PBbnNk5ifzsdA5v+ZFrJ1fRtvccqni0JPVtNBePLMawkjPVvbqXnOfZeABXjizE1sUH8SeRPv8zq7EoZ+XkPb89JL4OZ/yvISURxbothnFu9zQOb/mRwZMOftH4/1OUVTTIynhb7r53GW9QUlalZoMeVKvV/m8VURU5TxV8q4jUDmAtsOsbtfe38y2iXx8oys9lRuUjf3zQF0bBVpz55/m//FtIiL1PZloC1esvQPC+0K9IrIqV03BCb40gLekOesZeqGvZIVbUJDnhCcaV/niuOS3pBZeOTiYt+SVKKvrk5SZS1aM79VtMxLv1NPzOjEbPxBslVXMyku6SnRmBS53VqGkWh1Rzs2K4fGwEN88twtKuPp4Nh6Fr+J8tjy8syOHQ5h6Ilaxx9lyForIe6Ul3uXZqDjKREOr0pm6TAWxf3he3Br3Q/CQicf/aTkQiEbUb9SszzSSTStkwtx11W42gfpuxJfsfB51i88IuTFsT8kWGilXcW3Bo8xheRd7D4hPxlfMulcBLmxk0YT8qatqEB1+mRa+5pcahb2JDg3Y/kfT6MY3b/8iZnRN58/op6pqGuNXrQkZyLIWFBVzYO4Os9DcIhCJq1O1EN9/Vf1pCpXrtjjy+f45VE2rh1XoUWrqmPL13hsdBJ9HUMaZO86E0aPfRwqFB+59YM6ku1o61v6ikjlRSSP4nguJ11AO2L+xIR981VKvTGYFASMSjS+xbPQADE1vexj3DtLIr79ISWDzSkZ5jd2LlWIeajQfw/NFllv3oSoM2Y1BR1yEs8BivIu8xZs6FMv3evrKDpt1nlpmWbdxlCnMHW5CVkfSXpiz/DPf63fl1ehN8Ok4s1U/a2xjC759l2pqQMj5T34sK8VTBp3wTISWXy28KBAKrb9HW/yIK3ygPTCqTM/sLc8CeJfx50uizh3FfPK4KID4mCG2DuiUi6gMCgQA94/q8SwtFz9ireKNcDu8f5HK5nIjQM9wP2EZ6ygvUNUyoXrsn9i6tObSlFybWPXFzWYRQKKYwP5UXYYspOvULTTvOx8K2HuHBx0lOfEZuVhTujfYjVvjolaOqYYWJVScK8pLJzdXiwKaudPxhKyaVPu8oLpEUkJOVjIqqNopKH78nTx4cRiDUw8ZlQokI0Tf1RkXdHL9jk3Dy6IK1Q228Wviy4mc3PBsPRNfIiohHl4l5FsjwGafKzdU5sHEkAqGIBm1L+0FV9WxH8M393PPbR8PWI/70+isqqdJzxAa2zm1DnRbDsKnakOT4Z/idXIlHgx5Y2nnw9OFFTK2qlfF9ArCwq8nToJPYONUlLycTTR0TCvNziI26T6+Rm8nLySAh9jEa2oZUr9X+ixOvhUIhfUb/xtMHF7h3cx+5OZlYO9Si/0872bvWF6/Wo0sdr6VrSsN2P3P70tYvElL2Lj7sWtWf5j1+QU1Tj8uH5tGi5+xSNg+Obi3oOmIzRzeNLE7EV1JBLpfzJOgU2xd24OcVD9HSM6Pv+AOsGl+TkFuHUFPXxaaKF72Grys3YT0zLQFDM8cy25VU1NHUNSUrM/m/KqSMzOzxauHLmsn1aNx5MiZW1XgVEcT1Y4tp3euX7y6ifp/3VJHzVMEHvluOlEAg8AV8ASoZlb+Cp4I/joR96ZSkW/xx3P7kOLkc+AJRtl/Yt0JwvUesoIpUklXuPknhO4Si4umFrIxnSCVZGJpUASDw6mqePDhJJfshWFWpQm5WLI/ubufx/SNo6rpjYvWxfp+ish52rjN5eL0ndRqPQUPLBE/vETwPPUNGenYpEfUBdW0nct5FYW43BSVVE66dnE3vUSfKHCeVFnH78krCgvYjFCkhKcqhsmMTfNrOQEVNl4iwixiYtysjhtQ0bVFSMSIx5h7WFo1o1mkCLh6tCfLby6vnt7Gr4kWvEetRUS1b0DnqiT8hd07g4dOv3OtmU6UBidHBn7niZanm2RZDUzv8z2/iyqG5aOoY0WPYGhzerxbUNbTkzeunSKWSMnXs4l8+QiaTcPnYMvpNOIiFvSdSSRHB/vvZMLctPm3HUq/54FLlYb4UgUCAs3sLVNS1efE0AAVFFdKTX2Nk7lRuTpeJlQthgUe/qG0n1yYIhCLWTPGieY9ZRIRcpseYbWWPc29FXk4GkqICFJRUEAgEVK3VnoiQKwRe3ESLXnN4FXGXjORX/LQ58k/r1xlXciLm2S30TUpHON+lv+FdWgI6BpW+aPx/RlZmMvdu7ic96RWGZvZ41O9eIuxadZ+OtUMtbl38jdvn12NgYkv/n3Zg4+z1Tfr+Eipynir4M76bkJLL5ZuBzQDuDjby79Xvv40vzQH7EqQFefSU7f5iwfVHRL3I+3+fB2ZXtQW3r6zC3G4ASsofXwaKCt+RFH+RKp5LSX3jT0z4Whq2moxQJCb73Vse3tqGa4OdKCrpAKClVw0N7UU89OuLkUXdMv2IFdTR0q9G4qvgktV/mjpm5GRGIZfLywidnHdRKKkYA6Bv6kNM+DreZcSjqW1W6rhLR6eQlPiaqnU3oKxqQlHhO+KidnNoS296jzqBTCZFICj/X4JAKEYmk/I6sZBKJoqYWDjTvt/8P71mty79RhXPdiQnRJa7/21c+FcnLRubO9J1yMrP7tM3qozf8WU07jK5ZHtmajx+J5cjl0kYNP0M5jbFrxoisQIePv1IfRvNff+DXD/9Ky26TcOn7ehy2/8cBXnZbF3ag5S3MVTxbEdeTjSht48gFCkgKSosEyGLfX4HQ7MvSzgXiRVo1WMmV44vJ+DcOuRyGUUFuaCuU+o4qaTwfUmm0vfQwbUZV44soDA/h/t+u+k7dtsXFQH2bj2S/RtGYu1cHz0jawAkRQUc3zwKjwY9yxXOX0vYvbPsXTOEKp5tMbF0IeKJP+cPzmPwpINUdqwDfNlChG9JxbRdBV/L/6tVexV8X75UlBXl59JLvvsPj5Fb/3k7mebV/xE5YFJJIZFPLpCSEIqSqi4O1dujqW1WHB1qMIzgOz9iZtMXdW1Hct694PXzbcik+YQE+GJgWo3mnedT2bF4td2L8CvoGtUtEVEfEIqUMLJox7vUR2BX2v9GLpeR++4Vd66t49allRiYOuFWbwDKquq8iT1RKoKVlxPHm9gTVKm1DChedSdWUC3j3J2RGsPLZ9dw89mP6H3kTEFREyunEYTfG0fUk4vYOPkQFX4VHcPStgp5OfHkZsViqFs29yo28h5BfnvJyUrFvHIN6jTuX8ooMi35NU26z2T/qr68eHwDm6oNS/YlxT/ngd8eJi2/+8X35lMkRYW8CA9AUliAlUOtkvpxfcduZf2cNjwPvoCje0syU+MJvrmfWo37ExJ4okREASTHR5CWFIOVQx3uX9/FuFUhrJ/ujZGZPc5uzb94LEe3jUdd26SUNUPL3vNYNqYa5/dOo03/JSUC+G3cM/zPrGb4jFNl2klPiePqyZWEBZ0BuRxn9xY06fgzDVoOA+Dy0SUoK2sQcG4trfuWLrsTdG0Hlas0LDMlmZYcQ+67FBTEIsYv9i8RRX+Go2sTGrX/kRU/uWFfvQkqato8fXAWG6d6ny358zVkZSSxd80Qhsw6Xyrn7dnDC2xd0oNZG56h+Ce5qt+KCvFUwV+hQkhV8Jf5mhywP0IrPuSLcsA+8GdRsP9kSjIj7RWnt/fCTl+Vts7mvEwJ5dDaDXg2mUi12n3x9BmOgakTD2/t5E3MPjR1zGjcfho2zs0AeZnagTJpIQJB+Sv3RCIl8nJikMmKEAqLj5HL5YTfm44cAXqmXVBWMyMz9RHHdwyidqORPAjYRkbyLTR03MjLiSPtjT+WTkNLauVlZ0aCvAhtXctSfb16cRtdw9olIuoDAoEAXSNvop/fxKfNdELv7ufV862YWndDpKBOVvpjXoQtRU3DiD1r2qFlYEXzTiOo6tGKM/tmEeS3jzrNh1LJsR4Rjy6zYKwbw6afpNL7si0GJpV5ExtG75/3sXNJV1xqd8TSoQ5vXj0pnm7qOgVdw9JjjYsOIe7lI9S1DHCs3qRMNEcqlXBq93QCr2xD18gaVTUd4l4GU6/5ENr2noOugQWTV9wnNOgUsZH30dLSZ/ySABAICLq+G5lUSlbGG/at6s/buKcYW1QlIfoRIEAkVqBFz9ncOLvui4VUbk4GjwKPM3VjVKlpPE0dY1r0ms2lg7N59uACDm7NyUyN43nwJToPWo65demFJalJMaya2pgaDXoyZNZ5hEIR96/vYuVkb0bPvUTDVsPxajaYyCc32bN6MHKZnNrNhiASK/Lwxl4uH55H2/5LSrWZn/uOW2fW0n3oahyqf7TSyMpIIvLxDQRCEY7VG3/W1LNhq+F41O/G4/vnKCzIo1GbkZhYOH/Rdfkzgvz2UrVW+1IiCorzvUytqxMWdAr33znbf0sqcp4q+FYI5PK/PssmEAj2A96APvAWmCWXy7d+7nh3Bxv57U1fX8G8ggo+UPSZ+mcf+NKvdbB5R46dSiXqyUWiw46TGHuPCc09GNPk41L3mJQMGi7ZR/O+uzEy+zp3j9C7e/E7uwjPpkcRij4uOZfL5TwOHImKiiIFBXJMrHugrGpMYvRx0pPvUsN7ZynRk50ZybN7Exk0wY/oCD9iIvyJCDuLhYMvJlbtEAhE5LyLIvLRXGp5D6F67dJRricPjvDo7jnsXGeVGWP8y0Ooq2bQtNN8sjPf4HduAdHhV0AgLM4LkxZh6TCkJAKXGL0Xh+r1iH4eyI9Lg0rV13t4cx+XD86l86Dl3Di7joSYMAoLcmnUeTLONdsSdPk33qW/IS0pBpFQwNh5V0rOzclKY/vyPiQlRGJb1Zu0pBhSEqPoO3ZrSQ5UQV42K6Z6k5Eaz9BfLlHJ1h2ArIy3bF/YkaruLWneZVK596KoMJ/pg6zoPGw9lw/No4ZXdxp1noxIXDz9dvHALJ4HX6LfhENsnNmE2Zuef/a+xseE8TbuGdp6Zigqq7Nr1QAmrAkrc1xKYhSbZjWj18iNxEbeR01Dh+q1O5ZEzz5l9+pB6BjZlDKgBLh+fBlxEXcYOGFfybb0lNcc+e1nIsL8UFBUwdGtJXbVG3F6+3jcG/bB3rUpqW+jCTizGsfqjanTZCAPAg6Sn/uO9JQ4XjwNwNbFG6mkiJhnt2nedQqN2pX1B/tvcnjLT+ia2tOgbdl+z+ychJqqBs06T/ymfVZEnir4T3G20n4gl8vLuiTz7Vbt9fwW7VTwdTx/Fc++S/5kZGXj7mRLV5+6qCiVXa30OYokEsQi0X9cs+3v5FtEwaQFeVSNOcyiU2tJTk6lg3NldsXLGdWo9NSWlb42oxvXIDjhAB2Gri23rTP+ojI5YHK5nAcB21HXduDZg1lUrjoWZVUTCgvSiX22GUlROt3GXCM85ARh946Qn5uGXE5xNOh3kSN1LTvUtGx4HX0Hx+rtcKzejmq1enLt5GwevNyDWKyKXF5A7UZjyogogMqOjbh+eg4FeUkoqXxcaSWTFvIm5jhNOs58348xbXquRlJUQHpqDAc2dsW1/jaUVIoTsNU0bdAx9CQ04Ada9JpdSkQB1Kjfk9M7JrJ//XBa9JpD+8G/Eh1+mzM7J3Jh/0xUVLUoyM9GVV2XnxfdKHXurlU/YFSpCoNnXShJFI8Ku86Opd2ZsOQWuoaWnNk/m8LCfFr3XVgiogA0tI3oOWYHa6fUp1H7H0s5on8gNOgU+ia2HF4/FEMzR5p2n1GyT6ygSKs+C4h4dIUHN/agrVu+C/+7jLfsWNGPlDcvsbDzJCnuGTKZhMy0BPJz36H8u7yhhJhQdA0tsXfxxt7Fu9w2ofi7EhJ4nGmbo8vsq9Pcl1n7ZiCVFJGTlUrg1R0kxD5BIinCzqURA6YeLzm2snMDbl/YwPm9M8nLTqPb0F+JehLA+rlt8Gz0A/rmTsTFhKGmqU+Hwb+iY2BBWlIsm2c1Q1vPDLd6f+x39y0xMLUlOjKo3H2vIoNo+H46869SURi4gv82FVN7/09ZsvcEaw6foU8tF2x11Dly7ioLdhzh7PLp2JgZf/Y8qVTGqkOn2XTiInHJ6RhqazKkXVMm9O6AosK/6+sgUlJh17mb5GVlc3l8H86FRuJqYYxQWFZYVjc35ObNB7jFHy+nJahRTtpJzJtktuanU6XBBuIidxLiPxShUBGpNA9tAw8EAgFiRWVcavbApWYPsjIS2Lu2HQpK5XsqKShqU1jw8W3a1MKNPqNPkpkeh6QoHx09qzKJxlJJITERfmSkxqJrYMnzW/0RiJRQ13ZGRbcuyQlXEQiVuH9zG7bOzUtEtVhBidcvbqFv0qBERH06DkUlnTIO2QC5WWnk5WQwcfVjdI2sKMjP4dqxRXg2GUijTpNQUdMiOSGSw+uGcOXYMroMXgFA4utw4mPCGDDtdKnVdrYuPrg37E3Apd9o0/MX7vntQaygjKNb2RI8Bmb2KKlokJ78GkNT2zL7kxOisK/eFGMLlzIr0aB4mtPRrSW3zq1HXVOP2Mh7pcxC5XI5WxZ2xbZaY3xnX0YkEheLZb/dHN8ylmMbR+Dg3hJFJVXsXZshkxRx6eAcmnUaX+79/D2SogKUlMtaLigoqSKXy4l8fIOdq36gWu1OOHu2JzbiLveubqeoIK/ECFTX0JI2/RZxeP1QdPVMkcvkPLp9jPG/hpbUO6zfZgxXjyzkwOqBDJ97BV1DS9oNXM7lQ3O/q5DybNiLi4cXEhFyFftPph2Db+4n7U00VT1a/8HZf8z3jDwlJ71h19b13Lx+CYFAgHfjlvQdOBw9/f+9mqIVlM+/68n5P4J/SDhbjl8gcOpAjLWK//EO96nJ+mv3+GHuavw3fn7adPjSjUTHvmLf4A5Ur2REeGIKM4770ScqmoNzx/+/jE79FXafv8bs1nVREImwMdAl5PUbpDIZot+ZMD6ITcTOwvyrImFiJWUQCBAKFbB0HEIlu/4UFWYgVtSkIPctCY8nMNv1esnxzcbNp0FlHZ6k+INZ6dIwUmkB79Ie0v+HJZhVKhZaHwp0a+mYl9t/4utgLu7zxVpPg+SMNKoa6TKxR2eMtdQ5GxLJ/DOrUTdqQRXPJYT4/8DbuJBSBqJFBTmIFcrPnRGKtYkMvVZG0ITeOYZtVW90jawAeHhjD/omdrTu+/E7aWBqx4ApJ1gwzIamncajpWtKYuxjrBzrlpSM+RQbFx+CLm2moCAHiaQQLT1zMlJeo2NgUeq4woJccrJSP5vvo2toyYNbR7F29iIztfz8ubSkaHSNrKjT3JeN8zsyYsZpKtkUe3K9DL9Ffl4WLfvMK/mdCAQCPHz6EXLrCCGBR8nNyaAwP4f9v/6AUCjC06cvbvX+vFSQQCDAtmpDQm4fwcOndO7fk6BTmFeuwZ41Q+j90x4cajQDwK1hL9KTX7FnZR96jt2BsooGcrmc4Jv7eRJ0ikkrgji4cTQ+nSeVKRrdsP04/M+sJiUxCn0TW2yrNWLnkv+8pNF/gqq6DgMn7GP70l5Y2HtiYunCq4i7JCdGMXTqsXK9wP6Iv2PaLv51LH27taRZ0yYsWbwQuUzGkaNH6dGhEXuOXMTI+H+nvmgFn6dCSP0/ZNvpy4xuXLNERH1gqLc7a67eI+xFLC42lmXOexL9mkt3HxE6ZyiqisUPLGdTA/YP7UTNub8R+DiCui4O3+Uz/FNIe5eNhW7xg7equSHmupqsuBjIhJYfjRKfv0lh841gzi6f/lVtW5sYoqOhTGbKA7QNPBCKFEum1VITLtDeyx1FleL/9KFRscQnpXJwyg94zNlBYswRjCw6IBSKKSrM5GXoItxsTNF7eggXWWXEYvEfFujOyM7FffFkNvVuSWJGFqcfRXBsVPeSaNuYprWoVsmI3luvIBD+iJaBB2/iQksJKVNLD0LvTcPCYXApE1K5XI5Eks3dK1up4tmOyu89faRSCQFn12Jm/bGNyJBruHp1KzM+FXVtbF0aEfn4Jh4NeqChY0RKYvn2DikJkWhoGaKkrI6qui62Lo24enQRA6ecKJXc7X9mNZUd63zWB8q1TkdO7JyCq1d3/E4so1GnyWjrfxShaW9jeHrvDBPWPEZbzwxJYQEXjywqKYUS/ugK1s71y33ZcK7ZGlUNPXqO3Q7Am9dP2TSzKdU823z25SQrIwmgxNSyZbepbF3aC1V1HRzdWyEQCIh4dJljm0fh1Wwwz8P8SkTUB/qM28vaKQ2YM9AcS3tP0pJiUVBUZtj0k+RkpRH3MphGXaaW6VusoIiBqT2ZqfHom9iS+uYl6lr/PXPNz2FXpQGzNj4jJPA46SmvqddsENU8232xiPqeCeMSiYQ7t26Q9DYRW3snXKq7sWrpHHp078boUaNKjqtevTpLli5l7YoFzF1SfipABf9bVAip/4fEJaXQ28WqzHaRUIijqQHxyWnlCqnzdx7S0c2hRER9QFEsopuHE2dv3//XCanqttZcfxaDjWFx8u+OQR3ouOYgpx9F0NjZmrj0bM6HRbJs9A/lXtM/QiAQsGxETwYtXoDEYSx6RvWQSvN4++ok2UkXGD93LlAs5oLCo6hmYYyeuiqXx/Vg4I6zhPntRk3NkLT0V4AAiZohE9fuIikrhyWj+tPVp6wH1QcOn7uBt4MVrarZ0WrlXkY39iwzZdnQwRJtZQHZGc+RS5Kp72VG45YfpxXl8haE3VlF7LPVmNv5IharIpXmExe5EyVlRToP38bOxV0wquSEjoElkSFXyMlOJyczucQ7SaSgWOx5VA6FBTklNd+s7euQn5tJ2J3jVKvTqeSY7MxkAs6uoefw9dzz24OpRRVinwUiVlJhw8zG1Gk+FGVVTR747SEq9FqZvKtPUVRSZdDE/Wxd3AMdA0tWTfCkUafJmNu48TrqPjdOLqdVn/lo6xX7b7l79+HUtuJ6eGnJr7h+ejUWdp7ltp32NhpN3Y9T6saVnGneazbXT6/B7hPLB4CIsOuc2jOzxFvLwNSOdn3mYO/iQ7+x2zixayoH1w5GIBSipq5Lz+HryUxLQN/UvtzP1KDtWB7fOYpXsyGoa+pjXtmVkLsnObhhFKoaesQ8v42FfelxF+TnkBj7mKyMJHKzM7h8cA61fPp89tr9N1FSVsPzK/v+3iaZIcH3GTdqAAYG+lS2tmbz2qXo6hsS/iSUeYGBZY4f8MMPNGrShDmL1/zrovz/RiqE1P9D7C3MuBedgLejVantBUUSQl69wdb88zlSAip+1J/yY4+29JixjJpWplS3MMZMR5NzP/Wiza8HuB2XSlefuiyZNAo9TXUeRUZTJJFSzcYSJcUvK0bczsuDfYoKTP9tH3cfFdd/a1G7JounzSK/oJD2ExcQ+DgCZUUxufmF/HbjIYMa1ODmpJ68TE5ny40HnA9N4eSYnljqF4uc+9EJ9Fi9A0MdLRq6Vim33/Do19SpXCwI8gslaKqUTb4WCARoqKiQ8y6KnNQwRjlIUEso7Yh+9Zd+DFu5m2t+3VBVMyAnOwFVBTFa6ioohW9g5rrbRDwOJicrFQNDS15FhyASKbBvZV86+q7GsUYLrh1bTM3GA0rlPqUkRvEq4i4Dft7F9dNruH56Nfm5mexb2ZewO8dxcm9F2ttoAi9spLJzPXas6IdNlQYYVKpCfMBB8rLTMavsysV9s8jNTsPUyoWpq4PLTGF9ICzoDNfPrCEhJgwNLUP0DC3RM7Qi+MZeLh34BUe3lvSbcAir9yaQABJJITK5jITYJ5zYOQUlZXUSoh+VqfWXmRpP0NUdjJh3vVSfNs4NOLdrKoc2j0WsoEyNup2QFBWwY0V/ugzfQJWa7QB4HHSSHcv7MWjifhxdmzCpemPSU16DXI6OgQUCgYDo53e4dvJXZDIZMqmEl0/9kRTmYelQh2cPL5CW9Ap9k8oYGNtRyr/tAAAgAElEQVRQkJfN/nXDcXRrQXR4AFePLMLZow36JsV5YzKZjJNbf0IoEuN3YikH1gxAU9uY3iM3lv8l/gfwd662y0hPY9TgHsyfN5emTYuNQWUyGavXrCHi2RNUVcsOREtLi/y8vHIjrBX87/FN7A++lgr7g79GSFQMbcfP5+zYHjiZFk9jyOVyZhz3Izw9h5NLyobyoXhqr/XPc0tN7QEUSqR4ztvK5qmj/3URKYBD124zfvV2bI100VZV5nbkK3o2rc/SUf0Ri0ScC3zA+NU7ECFHRUmBNxnZTOnfmeEdyyY8/xEFhUWIRSJEIiHxyWnUGzqFn5rUZGD9GqgoKvAwNpGBW08ypKEbIxt7IpXJcJq6jkMjuuJqUVoc77kdyvHwVyX3WiaT8Sw2vvgcK3OW7D1OUmwsy7o1Zdbx6+QVSVjS7cNDQM7V8JdcfRrNRr8HKCgo09Xbg4jYOAqLJPh4VGNEp5aYGXxcon8vPIrOUxfTzcOZPrVdkCNn9+1QToZEcnH5VO5V+plDW2ZTJJHSpOs0Tu+cwP3rexAKRaioaWNgZk/T7jPQN7YlKuwap7aNo3m3qWSmxhH+6CpdR2zGrLIrSXHPObx+KMkJEbjUbI2zW3P2rx/O4BlnS0VVzu+ezn2/XTTvOoUq7i1Kokjl4Xd2HTfOrKN1v4XYVPUmOTGSywfnIBKK8J18hE0LOlKldifqNPctdd7Vo4t4fPckmlqGRIRdw9mjDdnvknkdEUTNxgOwr96EN6+ecP3EUjwbD6TdgKUl5+ZmpbFmSn3ECorU9OlPQV4W967tRCaT0KLXnDIlc+5f382D6zsZ9cu5cj+DXC5nxRRvtPTMiQ6/ha6RFcqqWsQ8C0QgFFCn2VAe+O3m54V+vAi/zc3zG8nJTuPHpUGE3D7MmR0TcXBrgbqmAaGBR9HQNmLo7MuoaeiSkRLHzsWdqebZ9pvbDfwV/ilWBds2rebl8xCWLllcartcLqd+g4b069sHX9/S352zZ8+ya+8Bdh06/z2HWsF/kf+6/UEF35fqtlYsGtGXpsu34+NkjZmWBlfCo9HU1ODowvI9dACqWFeiWS1XOq8/zKJOjaj2Ptl85gk/nCpbUqdq2amDfwPdGtWlvVdNbjx6Qm5+Ieur2mOsWxz9uR32nGGLN7JjYDvq2xdHB54lptBr8zFUlBT5oVWjL+7n0yjWhuMX6FjDnpGNP4oDN0sTDo/siteCbbzLLyAqKZ3s/MIyIgqguYsNU45dA+Ds7QdMWLOD/IJClBVEFMrkjOnahrVBTxjSoAZDvT2ov3AbDsZ6tHCxpfuGI0hlMppXtaWjmyNnQyIIefqceR19UFFU4OiDcOoNncKlVbOwtyhOll17+CxDG7gxqdXH3LEl3ZqiqaLE/F3H2TRBH6ySWXruKQpKKnTyXUslW09unFrB2CV3uXVuLUfWDyUr4y0mllUpLMjB3Koap3dPZ/L652hoGyKXy0l8FYaicnE9wYRXT5FKi3D37lNmaqpFn7mE3jmGSSWnPxRRuTkZnD8wl59XPCxJgFfXMmDQtNP8OrE2Tx5eoFXPWaye0ZTCglw8vPsik0m4e3krAWfXMGTmOX6dVBdFRVUMzZ1wMmqJlq4p96/vIu5l8Ptcqnxk0qJS/R7fMobKVerTZdiGkohEww7jWD2xDgX5OWXG6erVjYNrBpZbIxCKo4fNOk1gz5rBDJ19iUq2xf/PszOT2b6gA0rKatRs9AOXjy/H2NyRgvwcvFqNQkVNi9pNB+NSqyNhd45x+8JGqtbqQCffj1NO2vrm9P55L2sm1cOn7RgUFJXL9P+9+DBl94F/gklmxLPH1KtddkpXIBBQv74XGzZuxMPDAzc3N+RyOUFBQcybP58Fyzf9DaOt4O+gQkh9Z4Ijojl/5yECgYDWddypZvt1eTcf6NWsAS3ruHHiZhDpWTmsbtOc+tWd/jSMvGHCMFYeOk2PLSdISM3AQEuDwe2aMLF3x781BO0fEs6vB08TEhWDnqY6fVr64Nuu6XezZFBSVKCZZ+ns7cjXCQxbsoGqpvokZGRRIJGirCDG0USfjX1bM2jXMfq18Eb4uxV+X8LVeyEs69SwzHY7Iz2sDHR5kSvHzsmBMyERZOcXoqakQGZeAUpiESqKCrzJzEZLTZWr98MYNH8tMrkMAw1VUrJycLcy5deDJ+nWpD7Nlu+lV+2qDGnozoqLgUw/do2B9Wswr1Ojkvsdk5JB06W7UFdWpKa1GbVtzLHS02LC2h2cXDIVqVTGyVv3iVw4qsx4h/l44DR1Hdumj6GTTz2mbD1GsP9+atTvyd0rv+HZeAAKikp4dxiHd4dxJecdWD2QwMvbqOzsVSKijm4aQcyzQBp1mkSLXnN48diPK0cW4NagV5l+BQIBFvaevE2IoLLT53PFwh9exMqxbomI+oBIrECtJoMIuXOcXiM3IykqIPppABf2zUAoFGFT1QefThN58fgGSsrqTFzzGA1tIwA8fPrxKOAQ5/fNoNPgX3kWfIGwuydJS4qhRv0evEtLJPTOMWZtjSv1m1JUUqXtD0s5t2ca9VoOLzWepPgIhCIxG+a2R11TF0/vPjjVaFbq/Lt+e2jZZ36JiIJiUdjzx12snlSHEfOus/mXFtRs2JOco8nofOIYr6apR+1mQ7h2dDEN2owp81vXN7FFVUOP5MQXmFqWP1383+D3USf4Z4inT9HTNyQmJqbcfa9fx9Gxa2/G/jQOBbEImVyGQCBk2uxl1K3v830HWsHfRoWQ+k4USSQMWrCWwNBndHZ3RCaX0+HERRq5u7Bp0ghEoq9/GOtoqDOg9ZdHRABEIiHje7ZnfM/2FBZJUBD//Yac+68EMHX9Lqa2qsei1rWJTc1g+UV/rgY94vCCiYhF36oM85ezbN9JVh04RRd3Ryz1tdl3J4wFZ/w5NbYnVvra1LQ2JTs3nzdpGZjqf319QEWxmNyCojLb5XI5RVIZY7u1poa9NY+eRzNm73meJCQRm5KJTC6naZXKFEll9Gxan+FLNuBZ2ZQ1vVtipqNJVn4BS8/f5mVyOv4PHxOwcQG7zvsRm5RCx8b12XvhOrPae5e651b62oxpWostNx5S07o4ujOwfg3mn1lD2rts1FWUkUilaCiXzbPSUlGioEiCTCZHSVGBUwvG0X7az9y/uI43sU9xci/fCyg/7x3qatolNQGjnwYQ8egKP698iLJK8ZO0kq07DjWas2ZyPVr3XViqhpxcLudN7GNqNezx2WuclhTLiZ1TMfuktl6pe6CsRlJCFPvW+aJvXBknj1Z0H/Ube1f15VXkXcRiRV6GB+DdYXyJiPpA9XpduXJ4Puf3zUBBSZX83Exingfy8qk/CorKqGsaoFqOe7mxRRVSEqPIy8kssWmICLnK9gUdcHRvRU2ffmRlvOHY9knY3z9H1yGrSu7V66iHtBmwvEyb+iY2qKrrkpkaD8ixdqiNgqIyzx6cp6pnu1LHKqtq8S49EQOz0tFnqaSI3KxUVNT+eiHiP+P3K+3+6e7iHbv1YUCPNvTq2RNT0492BoGBgURGRrJhx3HGT53Hy6jnIBBgY+vwH71cVfD/l4q7/Z1Ytu8kqUnJBP/iy7xOjVjQuTGPfvEl9nUcvx4++7eMSVFB/LeLqLyCQias2cHxkd0YUL8GVvraNHSw4tjIbiSnpHI64P53H9MRv0DWHjpN4LSBLOvRnNFNanFqbE8GN3BjyPbiQrN5RRLyCotQUlBAJpORk5fP1+QbdvCuzRb/R2XO8Y94RaFMTvX3kcp61Z24/iyaRV2akLhqHC+WjKGGhQk3nsfgbG1OamYWFrpatFm1j1pzt7DmShA/NatNZQNtohLfoqOpzqxB3dkyZSSN3V1wqWSMorisMHWzNOFlUjoAkW9TGXfgElKZFPcB45i8YTfVrC04GxpR5rxTwc+pW8Wu5EWgmq0lEXuXM7OLJwV5Wdy/tgNJUQHZmcm8fOJPcnwEWRlJPHtwATevrsQ+v0tKYhQP/fdRp7lviYj6gIllVUytXQm6uq3U9uCb+8jPy8Suqne511cmk7FyWiPcGvYi+mkA+bnvSu2Xy+UEXdlGUVEBhpVcECsoc+K3sWyc1RQdfQumb46h38SDmNu4YVTJqUz7AoEAHQMLIkKu4tVyJLN3JDJn51vGLg5EVU2PvOz098KmmMy0BAIvbubCgV8QKygzd1Al7lzagt+J5Wxb0B59Uzuy0hM5tG4IkqJCxi67S0SYH89CPpbQUdXQISP5VZmxFBXmk/0umWcPL1LFvSUCgYAhU47w8MZeHt89WfIdKyrIQygWc+XwAmQyWak27l3djqG5Azr6lcq9nt8CDS0xrnb52Bhm42iSjYKoOPr0TxZRALZ2jviOHEenzl34dfVqzpw9y6xfZjN67FiWrP4NRSUlRCIRdg7O2Nk7VYiofyEVEanvgFwuZ/PJS5wc1Q3lT6aqVBUVWNDRhz5bT/Fzj7Z/4wj/Pm4EP8HRRJ+q5qU9bMQiIYO9XDl8NYCODWt95uxvz77L/vy0aivTWtfHRLv0Q31Eo2LT09C4t8w7dRORUIB5hyGoKikgkcox0tFkTPe2jOzU4k8F6pB2TTlw6Sa+O88wtkktDDRUORsaybwzAWyYOAyhUIhEKmXt4XMcG9WdGpYmADyISeRMSLGgGbJwA0KhAC0VJXb7diKvsIjfbjyk8dJdDPBy5V50IkoKH/OyLI0NeBqfTJFUisLvonyhcW+x0NPicXwSbVftw9fbnTvTB1MolbL1ZjDxKWn8uP8S2qrKNLAvFnl+z2OYeOQq26aPKdWWglhMQ9cqKCqpoqppwLIRtuRmp2Nvasyr5BQkMjlyuZTzB+dhYObAxplN0TOujKV97XKvlbaeGed2TyU5IRIDUzuiwq7zOvIew6af/OxD6/zBuYgUlJEDMpmUzbNb0nPMdgzM7MnNTufSgdmkvo1m6OzLbJrVBLeGvVHX1Ofq0UWMWXy7xBjU2KIKL5/cLBPZkUqKiHl+B0e35jTp+nFxh4GZPb6/nGfJ6Coc3zKG3j/v4+qR+QScXYuTRyvkcjlSaSF2rk05tnkMyirqjFl0C9P3BYyT4yPYOr8dKmraeLUeTZDfXpxcixcJ1PTuzbWji7B28irln3Xr3Hq0dM0I9t/HjwuK8+bMLF0YMesMO1b059yeaegaWvEqMggbx3pkZ6WweXbz4hwqdR3CAo/xKOAgI2d9mxe6osJ8crPTUNPQR0df9S8njMtkMp49DaWwoBDHKi4oK6t8k3F+DX0HDsezTn2OHdrN+YvXsLF34ti5gArDzQqACiH1XcgrKCQ9Kxdn07JGga4WxrxKTkMmk/0r32TyCgrRUik/uVVDRZH8gsLvNpbXSSnFq/cMdMoIOygWd3ZGuvTedAx9dRXO/tiL6pWMeByfxLSj1xAJBRw8d5XXb5NZPKJfOT18RF1FmUu/zmblwVP0/O0EWbn51K5iz6H5E6hdpXja5Wl0HOpK4hIRFRD5igFbT/Brr5a0rm5Hh9UHaF/DgcENP9acq2ltxqg957gQFoWJnnap2ov2FqY4WJqy8tIdJn5iOJqQnsXKi3fYNrA9M49dZ0prL3y9P+bhLOnWFGUFMY9Tcxh78AoFhYXI5aCkqEhdFyemrt+FSCSkrZcnwzo2R0dDHTUVJeSSPDLjwqhvZ8b6Pt3RVlVGIpWx+cYDZp3wQy6XMnbpXZ7eP8OpbeMIDjhAzUb9S10nSVEhkSFXGTz5CFFPbvDI/wA5WakoqWhw8cgifNqMxtqxrAC7d2M/WnrmvHxyk8kbnnPn4ibWTm2ASKRATlYqIrECk9c94/ze6Xg2HkCLXnN4cGMv9q7NSrmr12k+lF8n1KJqrQ4lxqMyqZRT28cjEIqo32ZMmb619MwwtnAhLyuVX34wRkPbiMnrn6P+3ii0IC+bbQs6oKquQyffNSUiCoqFWNcRmzi6cQSt+y/m6b20kn31Wwwl/OFF1k/3pm6L4SirafHAbw9Pgk5j41yPQRP2YWD8sfSNtUNtZm0IJ/rZbbLfpdJ10DL0jStTVFRAkN8ebp1dTWFBHrZVvBi/5BY6+uU75H8pBXnZnN03nQf++1FUVEQikdC6Y19qTJ6GolLZaeEv4cb1Syz8ZSIikQg1VVXiE+IZMvxn+g8e+d2j6Q5OVZkya/GfH/g/RkL8a5LfvqGSpTW6euXbi/zbqRBS3wEVJUW01FV4lpiCo0npL2Lo67eY6+v8K0UUQB0XB4Yv3Uh6Th46aqXfNE8ER9DQvcZ3G8ueCzfo4uFMQVER92MSaOBQHHmRy+VIZXKkMhn3ouNRUVQkaMZgVN6vwnMxN+LQiK64/7KJtX1a0e+3E4zu2hpzA70/6g4tdVV+GdSDXwaVn+cjEgkpkspKvGgWnPFncdemtKvhQGp2Lg9iEjkysqxr+IhGNWm0eAfdmtYn5k0SVsYfReHWaaNpM24eV8JjaO5szavUTPbffYxIKKDHhsPkFkrYO7RTqfbkcjlDvd2pM387cSe38CL+DXHJaQxasBYDkYzRXRpRJJWy83YoDUf4c3XNHAy0NWnq4YL/o6dsH9AGpfeRWLFIyIhGNfF7FsNbncoIhUKqerbD1sWHZWNcuHFqJV6tRiESK5CXncHBdYOxdqiNuXU1jvz2E/qm9uTnZZOfm8m7zBQ2zGtHpcpuDBi/p5SHVLHRZDojF9xAU9uIZt1n0qjTZLIy3hD99BZHNw1HU9eE0MBjTFr7FAA1TX3S3pYuGqxnZE2vn3azdX47jM2dMKzkRFTYdVTVtJFJCsnPzSz33uXlpJf83XHI6hIRBaCkok4n3zUsHeOCUzn15CpXaUB6yiue3juNhc3H77+CghLDpp3g4a0jBAccoKgwDxunenQesBgtnfK944RCITbvBeCn7dRrOoh6TQeVe87XoqElRiaTsWNRB8xN9Ll4/hxGRka8fv2aufPmM/HHIazasOur2w199IDp40ewatVK6tSuXeynFRPDiBEjUVJSome/Id9k/BWUz5vEeGZOGs2Tx48wN69EbEwMjZq2ZNrspaip/8NWBPzN/Duf3t8ZgUDAkHZNmX78OoUSacn2/CIJ00/44duh2R+c/b+Nsa42vZrVp/eWE8SmFNeOyyssYsXFQO7GJNK/lfd3G0tCchoOxroMaejOuqtBPIxJZMqRK1iOX4XuqMVUmb4eVRVletV2KRFRH1BWENO1ZhUCIl/RtKotV+6F/uXxOFmaIRCK8I94RZFUyu3I13RwcwQgr1CCiqK43HwnHdXiKa3s5GTq+U5m+JKNSKTF3ztzAz3ubFlMtkTO7sBQxCIhAVMHsse3ExrKSoiEApTEYqQyGWuvBFFtxgY0hi+kydJd5BYUIJPLsatkyuYTFxni5cqKHs3wrGyGm6UJdW3MkRcV4jNiOisOnKZWVUcaOFiViKhP6eLhTNbbyI/XT0WDYXOu8vjuSWb9YMyysa7MHmiGrDCPfj/t4OKRxVg71+dNbBi1mw1h2qaXjJx/ndk732JsVY3NC7uUyjfT0jNDLpNialWtZJtYQREdAwuca7amqCCPgvwcpJJCFJSK55rsqjUmMzWe58GXSo21ko0HYrEi5lYuWNu6MXDcHiYuC6RJx3HcPP1rmXyjl08DyEiJo3XfhUglhVg5ll1VaFTJCZGCIu/SEsrsy81KQy6TEXr7GPWaDS61TyRWoGbDnvhOOcLIWWepUbczKW9ekJOVVqadnKw0gm8fJfj20XL3fy0F+Tk8CjzO3eu7SU58USrnKTv2LDmZqSxbshgjo+LE/EqVKrF2zWrCHt3n6eOQr+5v28ZVjBkzmrp16pREn6ytrFi+bClbNqxEIpH85c9UQfkU5OczsFc7PNyqccvfnxPHjnLD7zpCeSE/jxrwdw/vH0eFkPpOTOzdESVNLdznbGH2ST9+OeGH+5wtGBgZ8VP3f2d+1AeWjvyBeh6uNFi8kxqzN2M3ZS2341K59OsstNXVvts4HKzMuRudiKuFMdPbNqDVqr28ycjm5pQBZK6fzLaB7ZHLZJ9NKhcIKM7J+cTNWC6Xk/Yum7yvnKKMT07j4NXbtGtQiwHbTnHw7mOEQgEF7x8eptoaqCkpEhQdX+bcU8HPaeJcmW0D2vJk7ghevXrN3O2HSvZffRCGSCbh/kxflvdojr2xHo2dK3N9Un8URCIuPXnBmL3nOfXoOdsGtufd+insH9YFN0sTBs5fS15BIReDQhjq7c7bzGymHrmKw5Q17LsTxsx2DVnYsSHBwSGsPnSajLyCcj/fm3fZvEtPLHUt9U1s6DfhEJLCfKq6OPLzopsMnXYcJWU17t88gFQqQVlVCyf3liU5QmIFJdoPWkludjovw28BvHf/LkQqLSLnXWqZvlPfvERBSZWTv/2IrYsPjwKKa+mJRGJ6/7Sbfav6cmzzaB7fPcmNkytZOc4DC7uaPAo8jqGZPRa2xVOp3m3HIJDL2bGwI9Hht0h9G03A2XX8Nrd1sXO5Z1u09Mx4GxdeZgyZaQkIEHDl8Pwy36frx5cgUlCieu12n03+Toh9zLKJXqyZ1YLDv/3MLF871v7SipzsdORyORePLGLOCGfu+u3nzrU9zB7uxMUji79qQcSnBPntYeZgS24cm0XUva2smebFvuU9kEny0deA4DtXad26JaLf5d4pKirSokVzbt289tV9Bj+4S+NGZVclOzs7IwDeJJZfeLqCv86Fs8cxNzNl9KhRKL2fltXU1GThggW8iAjn6eNHf/MI/1lUTO19JxQVxByYM46g8CjOBxb7SO2d0xoPR5s/P/l/HJFIyKxB3ZnYpyOxb5LR0VDDSFf7z0/8Rtx5EsHyfSe48ziC/MJCfvhNSkNHS1wrGbNtUPsSUdTAwZItP7Rl0LaTzGzfsNTCgYIiCUfuPWVFz+ZsvvGQpRNHsvfiTRbvPsrb9EwkUhktarkyf3ifUlNtv0cmkzFh3U72XfSnoZMVBUUSsgsKWHMjGEWxiO3+wYxpWhuhUMDk1l74bj/NriEdqW5hjFwu50JYFAvPBXBsVHcA1JUV+bVncxos3smUfp1RVlTklP9d+tSuivh3lhvG2hrYGesyZPspFMUiQucOR+19jpWrhTGnxvbEfc4W7jyJQCgQkJ6TR/PlezDSUsPHyZpetVxYeekOD2MT0VBWpKCwiPsv4wh59Ybqn5iKZucXsvXmQ8QyISe3jKZJ91kU5GVx9eBsXj46i4ulMTObO1HdNoxMcyFz98cizUtH+vIKNXQ02TjRA5tqjek8ZjeKSqoIBALsXZsRG3kfG2cvnodeRVFFE22RIhcP/EIn3zUfr69Uyrm906jXfDAJMWG8fvmI6PBbqGro4lKrI9bO9WnW4xdObR9HRMgVKtm40+un3VR29iL09lFO7prG+MX+QPEU2fAZp7h5fgNH1g8lMy0RBUVl9E3tsH+fIF6r6SAu7JvJwKknSwrxymQyzuyYhLa+OeEPL7BzcVdqNR2EUCTm3rWdvHxyk8adJ5FSjgADeJfxlnWz29Cyzzxq+vRHKBKR/S6Fvct7M39UNRp1+IkHAYeZsOYxWrrFydCZaQmsn+aNUCiiaafxX/Cr+EhK5F6Obx2LmakJrq7VCA8PR0tLk5yMBDYtn8aMecsRK4gpLCz/ZaGgoADxf+AHp6qmTmpqKiYmJmXay87ORlVV/TNnVvBXeXj/Dk2bNC6zXSwW4+3tzYN7d3Cu+gdV0/9lVAip74hAIKCWsx21nO3+7qH8I1FRUsTR8vMu1f8Nzgc+xHfxeqa19mJFu3okZ+Wy9PwtZh67zsIuTcoktDZxroyGshJd1h1mUdfGVDUzJDwhmWlHr1JJT4uZJ24wrGNzTvoHsfbAKdb1aUld20pk5Rey4fp9moyexe3NizDU0Sp3PMv2neRhWDihc4aW5IzFpmTQZvUBfDu0YN6x8+QUFNG3bnXq21tw/KEeTZftxkRLnfTcfAw0VNk+sD1ulh8fPlb62igKBcQnp2FjZoxUKiuzau8DptqahCek0N2zSomI+kB4QjK6KsqMWroJNSUFem86Sn+v6uy+FYq7lSlDdpymQCJBUSyito05RRIZTxOS6LjmIKObeNLQ0YqopDRWXgykvr0ls9o3pMP648wdtAVFIfSvV52x3Xx4lphC1xkr+blXe7yrxXNs7SLO/tSLWpWLk6HziyQM2X2BUxt96TJ2DwBpSdFYWFUFIOqJP9XqdKJui+GsmVSXjTOb4Nl4IBJJAQFn11GQl8ng8ftQVFLh9ctH3Luxjwt7Z3BorS8gRyIpwNrJC5FITPiDc5haV6eysxdVa3XgyIZhZKYllAgURSUVbJzqcu3kKmxdvLF0qE38y0csGuFAzzE7aND2J2Ke3WHlOHfcvfuioKjMvWs7EQDObs2JCLtBZWcvrh9filwmxdG9JZ2GrObcnmnoG1cu9x7duvQbTh6tqNVkYMk2dU19+k86zJxBlbhyfDk/TDpSMkYALV1Tuo7YxPaFnahRtxMCoRAtHdMScfcpn5pkXr1wlGWzRzNx4kT69O5d8ns4fvw4S5ctIyzsMWMmzKBpi3aMG9mfYUOHoqLyMdcxMzOT8xcusP/4hHI/yx/Run1Xtm7bxorly0v9Dg8eOkQ1V/eKxOf/IqqqaqSmlT8dnJaWhrNahYj9lAohVcG/FplMxs+rt7F9QLuSAtAm2hrsGtKRajM38rlFQf/H3nkGRJWkbftqmpyjIAgIiIoEFZQgKGDAiBnMOWdHxzTmnMecMWfMAUUMYAIVE6CiKAqKSpYcGuj+fvTYTg+4O/vtvDs7O1z/LM6pqnP62H2fque5nwa1jNHQ1afblhNk5uajJBQiqqjA1tSYib0607u1J3UDx7FniD9lFWLeZeZgbaTHjA6epOTks+PsFeYOkQaJFxSXcPTqbSIexaGirMSle48Jm9JfLvDe0lCXhZ29GXf4Egu7+rsA9kQAACAASURBVBDzIQ3PZbulJSpsLVBWVGB5z9aMOxjCuj5taVGvttx884pL+VJYTH6R1Pyyrbsz246fY4hXI7kfqJyiEu68fk9r14aVVqsORcYy/2w441q54mptxvOUdJaH3KGiQkJGfiGHImOZ27kFvd0cKK8Qs/fOU/bcfkJdYwNcrU15+TmTUw/j+ZybT48mdqgpKdFzczAfsnJQUoDT4wPx+sVWoXPjevR1d8RrxT6inR0Y49NEJqJAGo+2pU8b6s7egd+XVIrys3gde4OBE4MAUFJWo6AgBy3dGvy4MZbHt44QG3UaoaISmjqGNHLvgrKK9P6aWzfC3LoR3Yes4vrZdTy4eYQR8y/LRMiXjPfsXNgObX1TnFv0RUGoSEXFt9icMlEJu1f2pteE3TT4VeD4+4QH7FrcgembnjN45ikSnl7j6IaBWNV3x913ANfPredjUhz5OamoaxkwdskNuXNj7p5g1vqHlBYXkPYpAQ1NPQyMrQB49+o+nh0qu8yrqmtjZefFqydXsLZvUenvNg4+lBbns3xSY3T19BGVldO8/Vhad5+Bjp5UUP3aJDP2wTXWLZmCnZ0dA/r3l+urW7duhFy6RHx8PO+T3uLY0Jkmbl4MHjKEqVOmUL9+fWJiYli1eg1duvfBwtKq0nz+GYOHj2NIX3/GjB1H/359UVdXJ+TSZUJCQthz9MK/3F81v5+OXQKYNKofQ4cMQUvrW2B5cnIyd+/eZd6KrX/i7P77qBZS1fxtiU1MRhHwridfpkcgENC1cT2Cbj2mr7ujnNhIyy0g8vV7nh/+EX1tTUpEZagqKyGRSGSZl5ejHqMggMG7z2JX04hXqZk41jJmx6BO9GragLkX7zJ3SCApGVm0nbQQOxN9ujWqS25xKffUVFl64Rb7h3eTEzMCAdTU1mRMy6aVrmPB2Qgi33xAjIRlF+/gbmMuF4S+NjSSmrpaJKem08i2Nl2au7Ih+AITDocyu5MXNXW1iEtJY8rxq/Txa86gDi3pMXMFC7r6oKqkSFZBETNPXuPG9EHUNZFmInrZWtDVuT5ui4PQUFFifhcfhjT/lmH2U6fmKAgE3H39nifvUzk3sQ8Aw/ac43BUHL1cHVjWsxV5xaVsvHafBWdvcm5Sb9kqWC19bQa4O3I2JoFRAytntmmrqWBnWoNLB3/i+YPz2Np7o64h3Q5u3KwHG+a0pnXAHGlplDbDcW8znIK8TFaNb0DgiHWV+pNIJERe20Pg+N1yKzl6RhZ0Hbaei/tnoKVrgoaWvlzcUtyDC5hYOsiJKACLuq7YN/XnYcRBXLz78yjiALWsnBg69QhLJzrRrs8CmrYazOfkZwQt7kj0jX1Y27cg7cMLXsdco+/4ndy8tI3IsCD0jCzJ+/IZXYNa6NewIOXtU/Jz0ytdA0BBXgZCRWW+ZLxHv4b8c/0lPRkVNU0cHBw5fmQ/b9++ZfrM2USeS2f89OUo/fLIfPV52rF5FV6enlhZVS2CXF1diYqKwsBQmpG4eNVmjh0MYt6CxXz69AHL2tb0HTyGbgH9qjy/KkpLSvjyJQtdPX00tbTZdyyEU8cOsH7TFkpLS/Hw9OH4+XBMav5nV67/bjg4NaZ1O38Ce/Vm7Ngx2Napw8NHj9i2bTtTZy5EV1fvz57ifxXVQqqavy2lZeWoqyhX6Ufj52DD/shYxh68xKyOXpjraxP55gNTg68xvmcHDHSkb2lffZq+9iEWi5mz4zA9XOxY1M0XVSVFROUVrL58l84bj7KseyuEvwiuyT8H0culHj91ai4bd7BXI/w3HGHP7SeM9PnmDxWbklaltxVAA1MjVoTcQaggpLBURPPlexjs1QgtFRVOP4onKSsHFWUl2ZyVlRQJWTOXebuO0GRRECBBU02NcT3bMzmwEwoKCng62RGw7SQre7biXmIKLe2sZCLqK8Y6mvRsYsee20/p4+5YaV5DvBqxLiyKJrW/CZPbCe+Z18WbUb/yqWrnWIe+O06xPfwhU9t9y3CrbaiDUCjkXcYX3G3kPY7EYglJ6enoa0kD1rsN+ebvY2xWF/dWA9k62we/PvMxs2pMSuIjrhxdgFfbERiZ2JCV9o774YfI/fKZmhb2NHLvzpeM91jZefJbbJ1a8Sk5liPrBxI4coPc85KVnoxp7YaVzgEws27M1eAlXD+xDGevQPqM3sTLmGuoaxnQtNVgQOrcPmtbArFRp4k4uxY9A1PmbYsnNHgZKe/imLo+Bl3DWlRUlPPg2m5CDszCu8tUws+sxsW7H4pK3/yZ3j6/TV72JxQUFAk9Mpc+k/bLJT2EHV9EbTtPNDWlGZzW1tYE7dyGt29LtDVUuHE1hPz8PBo2bkL3wIE8eRRNly5dePHiRZXX9+bNG8rLy/mSnYWioiJFhYUE9htKv8GjABCVlhIb84iH9+/i1KgJKqrfL4ZcUlLMhtWLOHvyKCqqKpQUl9CpayBTZi5g4LCxDBw29rvnVvN/w8x5K7gaep5Txw6Q+vkj1nXqsWrjbpq4fr+25d+VaiFVzd+WhnUs+fglj4TUrEoi4ULMa/r6SbdHmi3bQ0FJKdYmRkzu3fkf1je88fgZAnEFKwO+xVcpKwqZ7d+CiJdJrLgcSZfWLcjIyeN2bDy7f1MIWFlRyIz2Xiw4FyETUuUVYm6+SuZzTr7MU+rX3EpIJi2/kG3TxzB/+0HaO9iw8ep9CkpEqCkr0srOmjvvPtHMoZ7sHG0NNTp6NiErJ4/M3HyaNrAloGUz2apa0E/jcOg3iXZrD5FXXMoIn6rr1dXU1UIgAMUqfNCUFYWUVYjxs5cmVIQ9TySnqIQhXvLeYAKBgElt3Jl05LKckIpIeE/zxg6sv/4A/0b10FT9Fs9zMCqGEpGIN0/D0FZXJTN6JVo6a1DXlL4p+/dbjLm1M3cubyUrLQlDE2v8+y2koXsXoq7v4/yB2bj49MfUpglvX9wm7ORKFBQUycv+hI6B/GpHdnoSSspq9B69Gcem8itPekbmPHt0ucp78/71AzzbDKNN92moqGkirqgg7sFFQMC9sF04NeuJuqYeikoqOLfog6i0kPfxdxBXlHPv+n5mbX8t88YSChXxaDuKj++eUl5eiq6hOet+bErbXvPRq2HJqydh3LqwgRpmdTE0tibuwTm2zW2Faytpqnr0jf2UFuehJIQu/b4VgVZVVUVNVYX3b1+wdvVKDA0NWbJ0KT+MHYinpyfl5eXcu3ePSZMn8/PatbKsvISEBK5du8bECRMYP6IPpSXFaGlrU1JcwrDRk9HU1GL96kXUrFkTBaGQ9++TGT95VpXeTxKJhCljB6OqrMDFC+cxNTUlNTWVlatWM35EH3YfOvcvm28mvUvk7InDpKd/po6tHd0C+qGn/4993aqRRyAQ4Ne+C37tu/zZU/mvp1pIVfO3RVVZmen9u9Fv5xl2De5EIwsTSsrK2XvnCacevyRyxwrMjPRZPX4QorJyVH7jHfUViUTCmVv3ORByg6eJyfRral/lF387xzpsCX/EcP9WfMr8Qg0dzUoB3QBWRrq8/JyJz4p95BWXUigSYWZsRE5RBpuuPWBCa1dZ//cSUzj9MJ7A1p50a+HKxuALnHkcz6rANrjb1OJVahazT17H2tRYbnVi0rogbj6KZYyPC+aOtbkWn0SzETMJXjoND4d6fMzMpqiklDcrJhL+8h2zT9+oUsRdin2NiqIiF2MSZB5XXzn+4DnqykoYaWswdn8IJx4+R09DtUrvK2NtDfJ+sUqQSCSciH5BVOJHYuZPZfb2w7RYuZ9hXg0x1dXiwtMEbsS/Y3P/DhyKiqW0vILCN3EcvtWEE8ePEfaxKQKBgMbNpIHVvyb902vOH5zDhJWRGJlKkz6atRvNswfnOb5xCFeOLiRg3I5KKzlebUfIiagPiU+4eHQBr+MiEIsrWDOpEd1HbsLaXrq6+CYuglePrxCwORYVNU2yM96zfUkXhEoq1G3YmoSY61zcP4OAcTtp2KwnAJ/ePkW/hiXv3zzCwraJnMHoVxzdunHj9EpGLQjj5PYxBG8ZgVBJBQ0tAySSCnT0TOg1aiPOzdqyf/047pYWoaFthGVdN94nRGGkLaF9+/ay/k6dOoWNjQ1bt2xBIBBw6dIlEhISuH7tmixbLj8/nwEDB9K3Xz/69ulD3LNnnAgOZvHixbRs2ZKNmzYRGxODiooKCQkJDB85kjKRiP379lK/vvSZSExMZMTIUWhp69Cpq7yJbOyTh7x985KwK6Eo/VLSyMTEhDWrV9GhUyei793B1aM5v5fgw3vZsHYxPXv0wM3ZkYePHuHfZgMbdxzGuUnVZYiqqebfoVpIVfO3ZkLPDqgqK9Fn11kqKiooLCnFrYEtYevnY2akD0jfzP6RiBqzajuPXyQwuY0rttqqfMzJq/LYTzn5DO7YEm0NdRSFQrLyi0jJzqOWvrZcfxMOX8JYR5ORPi5YGeoS8SqJLdejKRdLWHbxNkG3HmNlqMu7zBw+5+QjVFRkxoDupH3J5WXyRx7OG4GJjjSrxkhLgys/DqDZsr3cevoCRxtL7sbGc+tRLBHTB6KlKt0aautYB596FgxbtplnhzaQV1CMobYGykpC/BxsWHHpDjNPXGNRN19UlBQprxCz4eo9nn1MR0tFmUlHLqMgENCxoS0VYgknop8z78wNXK3MWHbxNnnFpXRuXJeQ2De8Ss2knom8SLgU+5q84lICt57gXVYuFQIFLqz+CR1NDTZNHcG0zftZfP4GBppq1NDWQFVJagWxuHtLBgedZXIbN3KKYzm/Zyuju7Yht5Z0u+1aekPyc78Fh9+7sR/XVkNkIuorDq6duWFWj9dx1wla1AEX34FIJGKir++ltDifwOHf6tB9TIpj2+LOtOu3mEEzTqMgVCQm8iRBS/yxd+1MaVEuSa+iGPLjoV8EjoQ9a/rh4juIlt2nf3se3sWwfX4bTGs3RFRSyJPbx5jx832SEqLJ+PyGuHtnqNvIDxXVb15qhflZKKtqoiAUEjhuJ807TmDLbB98O43D2s4TW3sHbGoU4OrQCReHGhzes4WXz5+Qn/EKSUUJO49clokVgLPnzjF61CiZcNyzdy+zZs6UsxzQ0tJi9apVBAQGsm37dtLT09m1axeurq4UFhYiEAhQVpa+ENStWxddHR3Gjx8vE1EANjY2LF68iMVLltOxS4CcII+8E067dm3l5gUgFArp0L49d25d/91CKuntGzasXcypEyewtJTGiAUGBhJx8yZTxg0m7HasbK7VVPNH8YcIKYFA0A7YAAiBIIlEsuKP6Leaav6vEQgEjOzix7BOrUnJyEJTTVUWS/R7uPH4GZExL7g9cxAaKsq0qGtJ04U7eZ+Vi4XBN4uD1NwCTj16yc3hAwBQV1VhcMeWTDgSysHhXWXbVoeiYnmdls2j+aNkbR51zPGtb0XvbSe5OnUAnTYeoUhUxmjfJnzKyefIvWfsvXgdDXU1vOtZykTUV1SVFOnnZk/A7NWABFF5BY0sTCgoEcmEFEAHJ1sWXbxD1PMEnOtak5FXyLuML1gZ6VFLV5vTj+IJjn6OYy1jXqVmoq2qQoVY8osVgyWLL9xk5L4LiCUSnC1r0tTKDAngbFmTXYP9UVFSZEPYPYbuPsfR0T2xMNBBIpFwKyGZNaGRrAxsw+Pkz9x984Gw9fNxtJH+EMYlvudw2C2uThuAYy2pa/adhGSG7T1P5w1HUVdRYvjeC/RxcyAk6gkTe3dB/2MsYomEHsSAGpxSHkh+bjk5WR+p07DqSgI1LRxo4hWIsqo6cXeDQSDAzbsvjT17oqT8Lb7nyonltOo5C4+2I2Vtzi2kwfQnt4/B1MIeA2MrDm8aRU2LBtg19qMwPxufrvL+TaZWDWnaajD7VwWQm/mBwNGbCTu1isd3T2Jp68qdkM0EbxmB/+DVuLYaQkVFOTdOr0RcVsSjiEM4e/fj1dMwnNzaMXbs14DuAllhYK9mrng1cwWgvLycMUMCGD9hAuPGjsXc3JzIyEjevXuHhsY3oZaQkICrq2ule2Nra4tELMbD3Z0xY8ZQo4Y0Xu/kqVP4+vrKreDFx8fj6+NTqY9mHh68T35HcXER6urSMcViMYUFBeR9J9W+pKQEJdXf7yl3+sQhAnr2lImor/h4e2NpYcHtiKu08qucvFBNNf8O/7aQEggEQmAL0AZIAaIFAsF5iURSdYRiNdX8FyIUKmBpUrmo9PdITs1g+5lQTodHoaOqxKXY13R3scNER5M5nVvQZs0BJrV2o4mVGbEpaay7ep+JvfyxNjXmbtxLklMz6NDMhey8fBrM2YqvnRV5JaU8ePOB2Z2ay8UDAbjb1KKuiQGD95xlpLeLXCzRpDZutFp9kLS8Qro0qlvlfDVVldFXV6GZrQUrAlqzPuwe7dYe4uasIeiqS0WCQCDAQl+H7NwC1FSUGdjehw7rjtC6gRUhca95tXw8BSUi3qRnY66vQ/2ahkw6fJmw54nM7+pDywZWfCksRkFBgI6aKgN2nubqi7c8XzIWRaECEomEiW3cKCkvx23xLmrpaVMuFlNWIWbbwE60c6xDfw8nrAx1WXv0HAfmTQZg+5lQxrdsKhNRcSlp9Nt5mg1929O5UT0UFAQ8Tv7MgJ2nZQHNCsqqPIx/w6XIR0gqymnn/haXulaEW9uR9DKyUnFkiUTC2/g7NG0egK2DNx6tBn/3s3/xOJQeY3dWam/YrCfHNg6huCgf/8GrMDKrx7sXtzm/50es7ZtXWU+zdj0PYiNP0tgzgEe3jlNSUsicne9QVZeuUqZ9iGf7/DYU5KTz6nEIFjW1GTJwDD+vX0lc1AmSXkaxYfcZDP+J9ldUVGRL0DEO7t3OrNlzyc7OpL6dI57erQm5dBl3d+mWl46ODu/evcPJyUnu/MysLERlZVhZW6OlpUVRURGnT59m44YNHDp0SHacQCBAS0uL9PR0zMx+E2uWnY2CggBlZal4P3fyKFs3rqCkuJiCgnwSExOZN3eubOzCwkLOnT/P9r0n//HF/Yr01E94urtU+bc6dWzISEuV/Ts3N4cDu7cSduksIlEpbh4tGDJyIlY21T5/1fxr/BErUq7AG4lE8hZAIBAcA7oA1UKqmv9JHrx4TY9ZK+nj5sC2/u1JzStg8blb/HTqOrlFpdTU0aSdQx223Igmr/gOtYwNWffDcOqY1aTJkB8Rl5fhWMuYJ8mf0dBQ5/iSabxPy0BNRRnlyxHU1K36V1FTVZmE1CwmtnGTazfS0mCKnzvrw+5x7cVbikVlcrUAJRIJpx7GM7ezN7NOXScjv5BF3Xx5l/GFHREPmdFBWtS2sFTE/cQPrK9jya7zV9lz8TodHOtgoqNJnRr6dFx3hLMTetPG/psbf1fn+px+FE95RQWKQqHM/6qwVERo3Btq6GjQf+dpIt98QFkopJuLHXP8W9DSzopO644S8kMfnC1NUVCQrmi8ScvGXF+bNaFRsjHikz4Q2P5bbMu6K/eY1s5TLibL2bIme4d1pfeO05SKRATOWUP8u/f0drVHIpEwbNlWGte1YsmI3jQZfQTnFn2xcfCW3Z9b59eSl/WRGqZ1EVdU8PnDCwQCBUzM7VBQkIrAN89v8ejOCWkJGvG3mpnf7rO0fNDYxTfQ0JFuXRoYW6GopMaF/dOqjDFLSXyMqrou2oYWREccZtqmZzIRBdKafO36LuLqsTlMmTiOgICeKCkp4ebmhrePDz8tWIV7k8oZk1WhrKLCsNGTGDZ6kqwtIz2NAH9vrK2t0NTQID8/n7U//8zuoCAUFRVl92fTps00925N+K27LF26FADbenbUrVdfbgsPpLYIW7ZuZdkvx30laPdu2nboiqKiImdPHmHbxhX8vGYNjRs3pry8nAsXLzJkyBCCgoIoKi5m7dqf8W7Zjnp2Dr/r+gDq1LXj0aNH9OzRQ65dIpHw8OEj2naWBtrn5HxhQM+2NHRyYM2qFWhoaHDp8mUGBLZj+96TODj954qlV/PX548QUmbAh1/9OwVw+86x1fyX8PZTGiduRJJXWISHQz3auzsjFFaXXvxnSCQSRq/cxrrefrIf8lWX7qKkqMDqXh1oZmvO67RsFp+/yZeiEnYN8ef0o5cs3hNMZm4+0/zcZEaYEomErTeiGbt6O0/2/4yiUEjixzSuPH9BNxc7uXFLysq5l5iCvalRla7kDUyNUFNWxNXajICtJ9jcvwO1DXXJLChi2YXbFInK6N7EjrtvPnDt+VvqmRjSz8OJEfvOI5ZImNjajUlHr9CqiRMZOXks3XuC2zMHY2UkzYKb7d+C5SG3Gb7vPJd++OYLlJ5XiFBBgYG7zrKhXzuMtDRITM9myvGrWJmZkJKWwcKuvpyb2Ie8klJ2hD+kzZoDzOzghZJQgZ+vRPE5t4CcwhKKy8opLivDxkifolIRQ5duYuOUEZga6pOQmoWXrQUgzVJc2M2n0j1oamUKSGg0aApmWuo8mT9SVjB5Zgcvumw8xsQN+1EQiziysgs1zOwQiYopzHoPkgrcrWpwctck3ic+RVFZFbG4AgES/AcsJf7xFRJf3MW97UjM67hwLyyI1gGz5MZ/fOsIRqZ1ZSLqKw09e3J653juXw3C3e9b1lrm50SiruxkzKJrKAgVeRh+oJL3E4CtY0siTgjp27ePrE1bW5uAgABS3ifJHZuZkU70vTsIFYV4ePqgpV21g/5XjGoYs/fIBZbM+5HHD+8RHBzMunXr6N69OwEBAaioqHA8OJic3HyOnLmGrq4eFb8UwBaJShnSuxPjJ0xk+LChGBgYcO36daKjH6KppcX4CRMJ6NkDBQUFzpw9x5OnTzl4IpSKigq2rF/Opg3radhQGsumpKRE927d+PjxI4OHDMHcoja9+g2jZ59B/2j6legW0J/Ofm507NABLy/pC4JEImFXUBCKSso0dZe27du5icaNGrJyxXLZuRPGj8fU1JSVi2Zy8OSVf2ncav7e/BFCqqq81EqVMQUCwUhgJIC5cbW1/5/JqsNn2Xj8Aj2bNqCGpjqr9h5n0e7jXFgz+z9a4+6vSMybJEpLS+nSWGolkJ5XyIar93i0YJQsNsnZsibBYwNwXbQLJQUhQYP98Vi6B3MdDYb+yrRSIBAwrpUrZ58mcCnqMZ29mjKkoy8uJ0M4FBlLX3dHFBQE5BWXMunIZUy0NYhNSaNIVIb6b4Lf7yWmYGmgy5YBHfBbcxCPJUFoq6mQXyzCv1Fdzk/qI3VgL6+QCTFReQWOZsacjH7Bxqv3aefuzPbpo5mycQ/jWzaRiaiv/NiuGXtuPeHl50zq1zREVF7BtvCHKAqlxZQd5mxFRUkRoYKQYf6tOX3zHodHdsfXTmroaKipzmz/FuQVl7Lkwi0CXe3JLCjibfoX1vdtx7vMHDZevc/0Dp40q2POj8FXGbxoA6N7tGfSmh10aVwPA0111JQUyS0u5bflfEXl0mQBUVk5x0d2k4koABUlRdb08qPNmgMYaWmwqKsPk46EMrRFY7xs2/Lqcybrr94nvyyNYQuuYlnXTbrd9/wW+1cFoqahw5R1T1BR1aBB005sntUCgYIAD7+RUhEUcYhLB2fh1bGy47hAIMDKzpPLh+cQd+8Mtk6tyPiUwJPbx/AfvJqatR0pyM2gIDcdUWkRyirqcudnpiaib1A5dV9TU5PCUqlbvUQiYd3KBRw/vBc3NzfKysqYN2Mi4ybPZMDQMd99ngGsbGzp1X8oQoEYB3t7du7Ywc2bN7kSFkZ5WRm1a9dGIlSVmTAKhUIKCwv4kp3Jlt3HOXlsP7Nmz6Egv4DGTdwIOnQGC0trTh0/yLadu5FIJLTw9WPmovXo6OiS9C4RJBKZiPo1/p06ERx8glOX7vzDOX8PA0MjNmw7yNTxQ7CxscHa2pqHDx+iIFRkc9Ax2YrglZAzbNm8sdL5nf39WbZsGRnpqRjVMKn092qqqYo/QkilgNx3Wi3g028PkkgkO4GdAC71bP7/SpBX829z/VEce86FcW/OMNkP/7T2zVh4/iajVmzl7Kqf/uQZ/nHEJ6Vw+uY9iktF+Dg70NLZoco4lX+FL/mFmOhqyb6Qw54l0tLOqlKAt5JQyPAWzpx/+go/BxusDHRoal21G3MLW3Ni3iTR2asphjrahKyZw/Blm1l++S6Whro8SfoEEgldGtfj45d85py6zppebeW2w9ZeiaK9Ux2UhEIWdfNl/KFLnB7XC2MdTVm8VWZBESExCczxb4FEImH/3ad0b2KHUy1jBu+7wIF5kxAIBLz9mEpg6yaV5qkkFGJrYsDV54kkpGax6dp9tNVUEGVUcGRUD6YFX0XVoAaTe/tTKhJx8HK4rPTOrxnQrCHB0c9Z08sPBQUBx+8/Y1nIbR7MHYGbtRlDdp/jxdJxbOnfngZztmGir0uPVl54LNvL4GZO1DUxYPO1B2wf1Emu3wVnIzDR0eJ9Vg4NTCvHu9mbGVFYWoaAIiYdCeXcpD6ymoRt7G0IcLWn6ZJ9KClLtycFAgE2Dt50Hb6e8DOrZNlzNczq0a7PQkIOzSL0yDyQSFBV16GOY0tSEh9XGrdMVELSy0jGzb9EyrunpLyLJenFHToNXiULWNfUMcKqQXNunvuZNoFzZOeWl4kIPTKXQYFd5foUi8WEhl5h2lxpXs/+oC1ER93kxvVr6OtLs00/fPjAwEGDMTE1w8HJmethIYhEItybtaCBg7yIKS4qQk9P+hIlFApp2bIlLVtK/dLOnTtH2I1bABTk57FqyWyuXDqHtrY2BQUF+HcL5Pj5CFRV1eT6HDR8HIOGj6t0P1RUVCguLqaiokLmS/WVwsJClFW+b9z5e2ji5snVO3HcDL9CRnoabTr1wtWjudy2aklpiVzpk68oKSmhpqZOSUnJvzWHvxolJcUkv0tEU0sbs1oWf/Z0/nL8EUIqGrAVCARWwEegN9D3H59SzZ/FzjNXmOrnJvfDLxAImNnBi/o/bSE5NeNfCrr+Qi4dzwAAIABJREFUb0QikTBj6wGOX7tDr6YN0FZVYdamvWhpaXJmxSx0NNX/eSffwcnGkucpaWQVFGGgqU65WIzqdyrbf7UJANDXVOPl58wqj3uXlYen7TezTAdrC6J2reTZ2/ek5+Rx/OptNMqKWR3Yhi+FxfTefhKXhTto1cCalC953Hn9gal9urDpZAhbrj9gkGdDnGoZM+5QCD2b2KOjrkJ5hZi1V6IY6NlQmvG3/yLpeYX0dXdETUmR7LwC8gqL0dFUx8rUhJj3aXj/pmZfeYWYZynpfM7Jx0xXG09bC848ime2fwvCXyZx+lE8ZeLnBF+/g5KSIpJfrv23CASgraoiE4KBrvasuHSHR0mf8bS1wFhbg8g3H2hRz5JWDaw4fv0uXZq74u/VlODrd9E2MOTiw1jqz9pMWUUFVoa6mBvoEhL7mjE+Lhy9/4xnKemVnOBjP6RhpqeFpb4OEgFyhZ0BjLU1GebVkEfh+zAd8rOs3dG9G0fWD5TFOCU+v0XY8YUMmn4SWyep2EhJfMyeZV0pLc4j5MAsWgfMRkVNk9zsT5zaPpZ6Tr6Y1XbErLYjbr5wdv8sctKT5cbvPnIzW+f4kvQyEhefAZQW5/Hg6g6K8zN4GvOUjlkdMTQwIDs7m5WrVqOlo4eHpzcVFRXs27WJPbuDZCIKwNzcnFkzZ7BkyRwK8vNo06YNGhrqTBixDYeGzqxaHyQLzm/cxJ1VS2dTXFwsV3QY4ErYVZo2a4lYLGbMkECsrSy4fu0qBgYGpKamsmTpMqaOG8KW3ceq/Lx/S03TWtQyt+RyaCidOspn0B06fPgPMYBUVlGhTbvO3/17UzdPLoeGMmL4cLn2mJgYBApCTM1+u975v4lYLGbn5rUc2LsVQ0NDsrOysbKuw9wlP1O3vv2fPb2/DP92UIxEIikHxgNXgHggWCKRPP93+63m/4bk1HQaWlReslZVUqRuTUOSUzP+hFn9sRy/fpcb95/waN4IlvVoxcyOXtydOZi6epr8uGnvv9W3gY4Wfdo0Z8T+i2QXFuNbvzahz96QX1Iqd5xEIiH4wXNa21sDkF1QxIWnr0hIzZI77tnHdELjXtPT10OuXSAQ4GhjSSsXR0LvP2Wsr3SFSE9DjdAp/dk6oCMm2hqEPUvk3q6VTOvXlbD1C7idkoXV9I1cin3N0w9pbLh2n103HzP5SCgpX/LYcv0BHdYdpoa2Bhd/6Iu6shIZ+UWIyr8FTw/v3IZNN6J5n5UrN6d1V++hpqrCx5wC7r/7yJ7bT3AyN+bumxQG7jrD+FauvFkxgaTVkzg6oislZWXcSpAXCyC1eGjnVEfuWuvU0CctT1ow10BTncJSEcHRz7nw+CVnb9xl1LJNBMxejb2VORpqqtjU0Gdjv/ZEzBzM6JZNiUpMwd3elrT8Ikb6uDDz5DWKRWWyMYpFZUwLvspIbxdepmZiY6RfaV4AtQ20KM5Lk2srys9CSVlVtqJx/eRyOg5cQd2GrRAIBAgEAszruNBn0j7UNfTISIln8XALVo5rwOoJDhjWsKTv+J18fBfLg/BDiDIuMWhILx5cC+JTUqxsHD0jc9z9hpL9+Tkf445R+DGcGTNncPFaFMrqunh7++Dq5oZvy5Z8Sstk866jvHn9kr7dW1NQkI+dnXxcHUBBQQEScTlhYVdYuWI58+bO5cb1ayhIyli/eqHsOAtLK5p7t2byD1PIzJQK/tLSUnbs3Mmz58/p3L03d2/doKgoj2VLl2Dwy1ajiYkJ635ey+tXz4mLqbwa9z1mzFvOgoUL2blrFykpKbx8+ZLZc+bwIPoRg0dU3h79oxk2ejI7d+3i0qVLspivuGfP+GHKVMZMnF5ppex/lc0/L+XWjUucOXWKK5cvE3n3Dt27dWZ4/66kfv74Z0/vL8Mf4iMlkUguAZf+iL6q+b/F2tSYx8mfK72NF4vKePU5AyvTquu5/ZXYefYKczp6ydL6ARQUBCzs6o3TvB2sKSj6t1alVo0byLTN+3Gatx0bI10qKsQ0mrcdoYIC1kZ6BLo24HHSZ4pFZfjUq83yi7e5lfCe+V288Vt7kKHNG+P0S9bejohHzB7c8x96V5WIRGirffN7EggEeNQxx92mFuuvPUBDTXqd9S3NOLlsBi+TU2g9cQE7BnSgraNUsBSWihi+9zzxnzJ4snC03DbHmtBIzPS0uXD3If3btsC1gS3TB3THc9leurnUx0xXk2vxSXwpKSNi6xIMtLXIzisg/PEzXianEJ+cQvcmDZjZ0UvWZxMrMxZ19aHv9lNsHdiRjk51KSgVsT38IXtuPcG7fm3KK8QoChUoKSsnOukTqwLbkF1YTPS7j/Rxc2D26Rucm9iHJlbSWn2xH9LosG4/SkIhz5aMlbnCm+vr4FnHnIbzt6P0S4adsqIi9nO20stV+lZ9KCoWfQ01GpobU1pewe3XyYjFEtmq2FdC4t5h0lQ+piji7FoUhYqkfniBiXkD3j6/xcBpxyt9TrZOLSkq/ELfcdsRiysoyMvEwsYKM61MFk7vxMf3iTRt2pQDN5PJzMxk0LCRbJ/rg51zO3RrWPPu+Q3KirI4FHyBWua1Zf2mfv5E1N0IzMxM6ezvj5a2NsEnTjJ1/BBexT9j3LixrFmzhuzsbLkVKYADBw8yZ84cDH8VY6WsrMzcOXPo2MmfiT/ORU1N+n9h0YpNrFk+lzZ+bTGrVYvPnz/RwL4h+45eRFNLm6g7EXRs377S9riSkhJ+fm2IuhOBY8OqSwn9lsYubuw9coGgbevYu683qqqq+HXoyuFTYejqVS1y/0jq2TmwYfshViyaycJFi1FTV6O8rIIxE6fTo9eA//Px/xvIz8vlyIEgQi9fwthYai2ipKRE7169eP36NUcO7GLKjAV/7iT/IlQ7m//NGNW9HcOXbKK9Yx3M9KRp1hKJhMUXbuPhUB/zGn/9RIDk1AwaWhhXajfQVMdIW4PU7C//lpBSUlRk/eRhzB4cQMDs1ehpFLG0RysaW5jw9EMqs09eJ7uwBEVFBRzmbEVTVZnGFjUZ7dsU73q12X83hmP3n6GhooS2hjoTAzr9w/FaNGzAuSev5ALVASJeJWFqoIfhb0TYvkvh9HN3kIkoAA0VZXYN7oz19A20WXOQkT4uKCoocPz+M95mfqFr43q8/vAttHFMt3Z08mxC8PVIvuQXMKl/Tzp5uqD4y5u6uqoKA9pJ7QNaT5jH6JaVvXuGtnBm8cVbTDt+lcFBZ1EQCOjcuB43Zw1h6rErbLn+gHGtXJkRfBUPm1pS49Adp2hjb8PykDus6eUnE1EATubGeNerTQNTo0qlda4+f4umsjIrAlvT0s6KD1m5zDp5nSP34igrryDA1Z6yCjGDdp/Fp35tsguLmX36Ogu7+qKsKEQikXAoKpbwF29wMHjChzePEIvLeRi2g2f3TuPtYMX2Wc2wqueKglCRovxsOZsCAFFJIRJxBXqGmqioqmNTQ/q5/DhiEM5ODTh6IEi20hEeHs70mTM5dvoK0ffvkp2VQZc2E/Bu2VZmOwBw+cIp5s6YiL19A2rWrMmBgwfx8PDg2JHDjBk7FnPzWgwcMIBnz56xdetWZs+eLVdA++3btzRu1KjSZ1OzZk20tLTIzEjH3KI2IN0O+2nBKiZMmc2H9+/Q0zekpum3YtHKysoUFhVV6guguLgYIxWVKv/2PerWt2fVhqB/6Zw/EpemHpy4cJOPH5IpLS3Fora13L3/X+fFsxjq1q0rE1G/pq2fHyvX/FzFWdVUxd/nqakGAO9G9owP7IT7kj10ca5HDS11Qp+9RUlVlXOrZv3zDv4CfF11M9eXT/3OyC8kI6+QmgZ63zlTng/pmWw7Hcrtp89RU1GmZ0tPBrTzJjbxPWdv3icjJ5dXySk8XTgKg1+EmaWhLs3rWuKyYAcrA1pz7mkCn4vKeJmWwdrQSEZ4u7CsRyuuvXjLxKOhLB0zQGY7IRaLiU/+iFgspkFtc1n79P7d6D5rJcbaGrR3tEUggAfvPjL24GWWjxtUyZvoyctEfvSt7IOjqapMQwtjGpmbcPphPGKJhLYONvR2c2DMwcv42svHRJjXMGR8j/aIysvRVFPl1ftPrDx4itD7TxEgoJOnCzMGdEdJUUhJeXml8corxBSUiHg4byQmOpooChUQ/rKasbCrLz23BLP2ShTlYjEGGmo4zt2GgbYmmcVlJKZn08GpsjGikZaG3EojQJGojDmnb3Blan/sfgkyN9RU59IP/fBZuQ/POuYsD2iNWCwh+t0nXqd/IXRKP0bsPY/dT5txtqxJzIc0BMCeoZ2JfPuKEys78aWoBDMtZUY3d6BMS58D8yZz6c599ojTuH1+LV1GbJKbR2ToNtQ1tFg4ogH2DZsyfOQ40tNTSfmQxKH9e+S2i3x9fWnTujVXQ88zesK0yg8fEBfzmGULZxB8/Jhs2660tJQff/yRFStX8uPUqUycJPWEmjF9Ov3692f4iBF09vdHJBJx9NgxWf27r07kX/ny5Qu5ubnoV1HIV0tbhwYOlcWXX4fOjB/ehzGjR8u5oX/58oXLoaGcOD+zyuv4b8fMvLLlxN8BNXUNcnJzqvQ3y83NRVXt//9l8+9GtZD6GzIpsBM9fZtxKiKK3IIilo5vQSsXx387o+2/hVHd2rFk91G8bC1kAqdCLGbO6XB6+LihrfHPvyDiEpPp+OMSAps0YKm/F7lFJWy/epNVh06jgID+7g6kpnykh4udbIyv6Guo0c3ZjvGHQxnd1Y/hzo7EvEki9N5jlodsQCAQYFvLhDUTh9K8YQMKiku4/jCWWVsPgkSMUEFASbmYhcN7087dmRuP4qihq824Q5cRlV9EW10FJSUlFo7qVym2CkBPW5MP2ZXr/UkkEj7nFCAWf+b69G/+PPcSU4h4+Y6t86fI2pJTM5iz4zAXIx8hEAioZajH5+wcprdrxpK5w6kQS1gTGonnqFmY6Okw88Q1jLTUaWr1LTMx8vV7JBKpuPwtKopCvhQVo6qkSMNaxhSJyigoFVFWVsbHrBIUFRTIzC/CVE9+tc3ZsibbwqMZ27Kp7Mv/TsJ7GpgayUTUVxQUBIxr2ZSZJ68x2c8dYx1N+ro5sOZKFM8/pnNmQm9epWay4GwEbtZmHBjRDYFAgH+jeizv7sPd1+/pte0kUW8/MTKwCVrqavTy88G3aWOaj1/EyU35NPUbjVBRmegb+3gUvp/lSxfh5OTEjfBwhvbrjEQiwcPDo8qYGw8PD0Kvhldq/8qhvdsYNXKkXOyTiooKixcvxsfXl5EjRvDlyxcADAwMOHP6NOfPnycsLIwnT5/Sq1cv0tLSWLFyJcHOzqirq8ueg5/XraN1u05oaP7+ckgNHBrR3NeP/gMH8sOkSdjZ2RETE8Pan9cR0Gfw31aQ/FWxd2xESUkpkVFReDb7VilBLBZz4OAhOnTu9SfO7q9FtZD6m2JmpM/EgP/NmlM9fNyJfZOEy8JddHexQ1tVmfMxrzE1NuTEnN9n8DdpXRDz/ZszyPPbm3lbhzp03XQM73qWTG3XjCUXbiEWV52ZZqCpRj+/FoTdf8LlO9E4W5rwJSeX2iZG7Jk9gbef0li0+zgfM7MpKStHXUmRI6N74GVrgUAg4OG7T/TbcZifth+mZX1L1vb0RaigwOF7cVyLT+LKuvlYfCe7sodvM+ZvP0iPJnZyW2AhMa8RKgh4lpJOwJZgWttbE/MhnZDY1+ybOxFdTekqQ1p2Dq0mzGOQhyOvV0xAR02FiJdJjD5wEX1NNYx1NDl2/xlnHsczxscFV2szYj+k0XNLMIM8GzLZz4OwZ4nMOROOmoqyXJFiiUTCwnM32XfnKSO9XTDW0eT4/WeUlldwdkJvMguKmHcmnEJRGRuu3mNlYBu5a0vMyCY9r5CZJ64xq1NzdNVVZUHqVaGqrIi+hhrLQ+6wvm878kpK8XNtzKDd5+jt6oB3XQueJKdybEzPSm/lzeqYo6IoJCkrjy7Nv9Wfq6GnQ+TWBWw5E8ap7f3JKRahpCTkSmgIZqamFBcX8/btWwQCATo6OkRFRTFu3DgWLlyIoeG3rfPk5GT0Db4fk5jw8jkjhvSv1K6rq4uNtTWhoaGoq6tTXl6OoqIiampq9OrVC2tra57+8APDhw2j/4CBaOsa0r5DR7p16ypz8EagyM79p7479veYv3Qdp48fZO26jXz69AHL2taMGDeNDp17/POT/wDKysp4l5iAkpIyta3rVPrMqvn9CIVC5i1Zx+TJIxk5cgQtfX1JS08nKCiIcjF07lYtpH4vAonkP2/p5FLPRhK5Y9l/fNxq/l4kfkzl7K0HFJeW4t3YAS+n+r/ri/d9WibNRs7gzfIJKP7G7f12QjKzTl7nzk9DufkqianHwngwd4Rc0LJYLMFj2R6yikqY0dad4S2cZU7m++/GsOjibRBLmN7eg4HNGtJ9czBDmzcm0FV+ay3sWSITDl/i1fIJcu2LL9wiuVjMvrkTK81dLBbTasI8ElM+o6OmwqQ27pjpaXHt+VuORz/n+Jie7Ih4RL6CMrUM9bEyM6F/2xbU0Pu2Dbpg9zEyPnxgQ5+2cn3HpaTRbdNx7v40FJeFO7n64wC5VaAP2bm4LNiJgoIANztbRnVvx9mb9/n86RMnxvREVUmRC09fMf9MBFenDZCt5EkkEn46dZ33WbkcHtWDYlEZHkt2U1QqwsfOigHNnFAQCNh75yk3XyYxs5MnES+TuRKXiKG2BjlFJZRXVBC3eAzG2vJ+XgN2nqZ+TUN2RDwiftk47Gdv5eCCKViZ1WDnmTAiHsfx5mMqIZP70vg3CRgSiQSbGRvZPWcibZpWNo8EqCgtpu2C7QwYPITWrVsDMHrMGJSVlZk3bx6GBgYUFBSwefNmbt66xbmzZ1FWViYjI4POXbuyJeg49o6Vt9EAhvfvSp/A7nTo0EGuvaysDK/mzVFVU0NbRw9tTQ1GjhiOSc2a3IyIYMfOnXTt2pUHD6KxtK7Lqg1BvHgWw5WQM5SWluLh5YN3y7Z/ucy04MN72bpxJRoaGpQUF6Ohpc2s+Svx8PT+s6f2lyb+eSz7gzYT8zgaLW0dOnUNpFe/oTJrjGqkNKit+0gikVQ22KN6Raqa/2FszEyY2uf7XjLfI6+wCENNjUoiCqReQ3nFUquDFnUtMdRUZ8LhSyzq5ouBpjrZhcXMOxsBQkXqGOkxwvtbELZAIGCwVyMORMaQmJ7Noag4lofcIaeohDMTKr/9tW5gTVZBMQUlIrkixuNaNqXerM2y+na/5mp0DMWFRXRysqVcLCH85TuyC4pxqW3KnVlDqaWvzYZr0fTw86B/2xZVXn9o1GPWdPep1O5YyxgDTTW23oimjb11pa00c30dBno2pIZlbUpFZQxbtgV9dRW+FJZQZ8ZGejSxIzw+iTmdW8hthwoEAmZ3aoHdT5tJyy3AWEeToc0b8+JTBtZGesw9HY5EIiH+cyYmuhocu/ec2JQ0NFRVOLp4GvUszVi0Jxj/9UfYO6wr9mY1yC0uYePV+8R8SGNlQBvWXomi47ojiCoqaN7IjvKKCh4nJKKqAM3rWnAgMqaSkLrz+j1aGuq0cqm6ll1FaTFiiUTO3PHFixfExcURER6OkpLUfV5TU5MZM2YQ/fAhK1etwsDAgEOHD9NnwIjviiiAjl0C2LR5Iz4+PrJtOYCDBw9SWlrKwGHjGDR8PKeDD7Jp63a+ZGehqamNpZUNn9OyGT1xJi39OqKgoIBjQ+dKGXV5uTk8uCd1EHd190Jb57+3qsGZE4fZt2sje4J2YWdnh0QiISIigmkThrJ9X3VtvH8HO3snVqyrXIS7mt9PtZCqpprfUKeWCVkFRSSmZ2NTQz4V+3Lca1x/cSgXCAQEjw1g/KFL1Ju1GQsjPdJzC/D3bEIbNzPUi3Kr6p4OTrbkFpWwuHtLniR/xnflfk49jKerc305wZRfKhVsyoryYklXTRWxRIKorLySkLoWHUt353o0tjRh6rEwImcPkzMMfZ+VS1jca9yaNKKiQlxlfUWhggJFojJWX77LwchYcotLUFNSpIdLA0rLyskvEVUK5P+KpYEOFx/Gkpebh7qSkNLyCjo2tKVHkwY8/5hOQakIR7PK21maqspYGOjwMScfYx1NtFSVkUgkTO/gyfQOnqTlFdBw7nbuzxmBmrISqbkF9N15miv3n+BS34YVY/pTNzySjuuOoChUoLBURBt7G0Kn9CfiVRK66qqIkTCogy9p2bmsPXYeBVEplyf34farZAYFnWX/nRiECgLaOdbBzdqM9dcesG7y8O/GDoolEvJqOeLs0YrQK1dwc3PjQXQ0rVq2lImorwgEAjp37szatWtxatSE1Rv20MStWZX9AhQXF3Hs0G5EIhH+nTvTr29fDA0NOX/hAk+ePCXo4FkcG0lFeq9+Q+nVb+h3+/otEomE3dvXE7TtW627OdPGMXzMZIaP+eF39/OfQiwWs33TKtatXSOLFxMIBPj6+jJ+/DiCtq1j/bYDf/Isq/k7Uy2kqqnmN6gqKzMhoCND917g8Ihu1NLXRiKREB6fxPKLdwge25PyCjEhsQlceJLA0/eptGhkz+IRvbGsWQNdTQ22n7nCvQfvq+w/MT2bBjWNWHrhFtvCH+JhU4v9d5/y06nrzPFvwUgf6Q/k9hsPcbasWUlI3Yh/Rz3zmqirVk43V1ZSpChf6l/lVMuYzhuOMqujF3VNDLj7+gPzzoQzsFlDLobf5WVSCrtmVS7h0b6ZC6P3X6S2oS4/925LDW0NQmIS2HDtPhViMc3q1GJd2D0WdvWptFV69vFLnn/KpK6xHj71a5NVUMzOwf4IBFKBci8xhSfvUyutZuUWl5CclYu5vtRS4MzjlzIPqK9xVT2bNkDtlxqDJjqa7B7sj9fyfUwI6IiWuhqrJgxm+sa9/NzLD6+6FmipKhPxKomZJ66hra6Girom8UkpuA77EV01VTLyChmw6zSRr1OY0cGTvh5OiCUSDtx9yuILt1g5dhDdvKuuv/741VsW7D3BjUdxCAQC1NXV0dLUpIaxMXn5+VWek5OTg6WFJarKQiaM6sfiFRtp3c6/ymPPnjiMgZ42p08c4979+1w4f54nT59iaWFB/MsEGvyDlax/xrlTRzl/+gghFy9gaiq1l/j06RNDhg3DyMiELj37/JMe/rOkfv5IaUkxjaqwcWjXti2bt2z5E2ZVTTXfqBZS1fxPUlRSioKCAFVl5X9+cBX82LcLovIyPJbtwdbYgNziEorLKlBVUaLnlmAMNNXRVVdlWAtnPG3NORb9gnFrdxKyZi4AAS2bsXDP8UqlSuI/ZXDxaQI2NfS4FPuah/NHysr1JKZn47/hKMWiMlJy8jn56CUCIPrdR1k2XOyHNCYdu8KysVUHzXfzdqfv3DX84OfO7qGd2XP7CfPOhPMhOw9ReTltHeowvYMn2moquC7eTXT8G5ra1ZHrQ0tdDXN9bUKn9JfFfjmZG9PQwoRxB0MYsfc8KkqKLDl/i1mdmqMoVEAslrAtPJq4lHR01VX5lFNADW1NBjRzkhNbI31cmHosTK4+oVgsYe6pcPzsbVBVUmTOqRs8TPqEp60528KjOXA3BoDLU+QDr62M9NBRU6bRoClcXjuX7t7ulJSKmBp0DBWhAqVl5Ygq/h97ZxlQZbq14WvT3SVKCSICgoAoJYhigYIStmI7dne3jl1jd4sd2ICAHdiIYGCjdPf+fuBsZ8/GiTOe8805s69/vPG8sTc8N89a614VeDjUo3e75kxYswM/q3rs7+WPkrwcGfmFeC/YxrRAb/p6fw17jWzpjoyMDJdu36dfoJ/EO76VmEL7yYsZOWYsSzftoKKigoiICJYtX45AIKCiooL379+LRApU9ZA7cuQIK1esoEGDBjx69IjeffpS26outa2sJa5xLvIYA/r2QkZGBg93dzzcv1ZnXr12nUcPEnB0qjZdQ0RlZSXl5eUo/Op3YNvGVcyaMUPs/oyNjZk5fTqz5sz/2wkpZWUVioqKKS0tRfFXXlXZ2dmoqKh+40wpUv4zSIWUlP8pYu89Ydbm/dx+9gKApg1smT2gK45W5n9qHBkZGab26kh7HzcW7TrK01dvSMtOp6eHA8Vl5XzIyWf3gGCRL1IvrwYM2X2GGZv3sWJkX3Q11Vk9uj9tl2+mu7sDDUwNufPqPbuvPWBxp5bMPn6Z3QODxXoeWhrosCjMj6G7zxAe0Iwbm3sTe+8J3dfvQUNZARmBgIz8Imb260RIU7dq77uhjSW+DesTuOoAU9t54V3XjPXRt9FQViTYuQGf8gpwnbWRKe286dLIlqOXb0gIqeOxNxjb2kPC9btNfStUFeUpKCnDpoYe62Nusy3+Hi7mNUj8kI6MAIQIySoswv5L+E72V2GxFnaWhHs64jh9HSEN7dBTU+bInUTS8wrQVVPGZtIafOtZsLaHP+ujb5OamYe8gjwrwppL+EeVVVRQWFrGcL/GhExexL0dy+na0ptOzb1ITH2LjECAtoYaCnJynLp6B0s9TSb4e4rOV1dS5ENOPl3dJHOgwj0dmTluZbUeOzO2HWL8xEmEhoaKtvXp06cq7+rOHWrXrk2Xrl0ZOWIEzs7OJCcns3rNGry8vEShNHt7e7p27cKBPVuYNGORxPVLS0vE8qJ+iaqqKqUl326q+yntAyuXzOHMySOUlZVRz7Y+A4eNo3nLAMrKynjxPJnGjSVX2tzc3Hjx/BllZWUSocn/T7R1dLF3cOLwkSN07SIu8rZt30HrtsH/T3cmRUoVUiEl5X+GmITH9Ji1nB9Dm3NqcAfKKyrZe/0hbcfM5eyKGdhZ/LlGpHH3E+kyfSnd3Ozp0a4Jb7JyWHPpJu+z8rg4rqeYSKhKmPai0ZwtLBnWCzlZWUJ93XGytmDrqUscf/qWjNx8XMxr4mdrwdgD5yXa9AA0q2dBQWkZ83+oWn3p7OdFqK8791NeUVkppEE8FmH0AAAgAElEQVQdc+R/x3155ch+jF2zg24bjiAUCunmVp/FnVqKBMHEAC9aLNlJK3srVJTUJM7PLyyS8Mb6+Rl11VT4kJ1PUVk5/byd6djIjuefsjDV1cTRxJCIW0+YfCSKxPfpTAzwZN/1hwQ51RUTI50a2bPgdDzKevqo6WixobUfd56msGjXUQKd61HHQJtNsff4mF/ChdWzORl/i7XR1/C1sRATd7uvPsDaUJfRrdw5fu8ZF2/fp1VjJ2RlZb7YS+znfXoW5RWVaKmpEOZcV+x5fq5YlqmmklNWIEN19cxFJaVcffCENdurQnLpGRkcPnSI5JQUtLS0uBwby/r162ncuDE7d+1i8ZIlCICxY8fSvn17sffg4uzMpq3V5/a4eTTldOQZCcHz9u1bXr58+c3QXnZWJl2DW6CtpYlAIEBWVpbcnEymjR9KQV4u7YI7o6KiyocPH8RWpAA+fPiAioqqhLv3m9ev2L5xNVfjopCTl6dlmyB69Bn0H2nl8jMTps2nb7cg3r9/T9uAAAoLC9mzdy8PHyeyK0JSiEqR8p/kf8OBUYoUYOamfSzt2IIwVzvkZWVRVpCnr7czY1q6sWDHoT81VkVFJf3mr2FjzwDmBTejma0F4Z4NiBoXTm5xCXUMJR2ha2prUF5RQVFJqWibZU0j5g3sxr45YzmycCIfC0tovngXRaVlpOdLtttIzchBV11c3MjJyuJS1xLXela/K6L2nIulbpehnL12myZ1TJGTkWFOcDOxCdxUV5NRLd2IfJhSbVl/kwZ2HE94KrH9XVYuzz5m4FXHlE+5BfT1dsaupgGBTnVpYGqEQCCgg4sNBSWlyMnJEpOUyovPWYw7eIG0nHyEQiFXkl8TtGofdjX1OXAhjiV7jzNk8QYqKuHKxoXUqWdDprwK/cPakbBjGRY1DBgQ1IISGXlaLtvFiYQkYpNSGXvgPHNOxrLsi0WDq4Uxz958AOBE/C1GLNvEvMAmpC4eQeqSEUwN8GRT7F0evfskeh5FeTk8rEw4fCdR4ln333xEy4b1JVajfhZfAoGAW7du0aZNG16+fIlb48bIy8khJyfH/v378fHxYcvmzaxftw4ZWVkJEQWQnJKCgZGkmAbo0rMfFy5eZNv27ZR8KTpISkoivFevKhuNzWspLS2VOG/bptUUFxXi7u5OTEwMTx4/Zt68eWhoqLNgziTKy8sJCunM6jVr+KX1jVAoZPWaNQSFdBa7z2dPH9O1gx86mkpsWP8TSxYvIv1jKl2DW5CZkV7tvf87sLaxY9+xi+QWVjBsxCimzZiFaW079hw6h5bWH+tUIEXKvwvpipSU/wly8gt5+OI1gUNDJfZ1drNn7tR1f2q8q4+S0FRWoKW9pdh2dWVFzHS0iEtOxdfGQmzf3dQP6GqqoaZcvf/KrcQUPqRn0dPdgUfv0lhy5goLw74aTgqFQuafiqO5q8OfutefOXs9gRmb9nB0cBiXnrzgTuoH6hnrixK0f4mLuTGlZeX0W/ATOQWFNK5nxbjuHWjZqAFDwwJw7TMWR1MjQl1skZER8CYzhx4bjyIrI2Ccvydd1x9GvrqKP0FVG5izy6czZPEGXmfmcO5hClvjEqgUCjHSUMPZrAaJHz6zqVc7POqYkPwxk/mR8Vy9/4TDCyZIVMkpKShw4sfJdJ+1gmlHozFQV8Gzjinxk/qInM8fv0/Ht6keQqGQ2Vv2s667P81tawMgLytLV7f6pOcVsOh0PLsGfA0F9fJswJDdpwEIbWhLpVDIgZuPmHsqjhM/TpF4PhUlRVxt63DixAmWLlvGsqVLadKkiWh/586d6RAcjLOzM1paWkRGRpKTk0NERAQdO3YUHff582e2b9/Bj6u2VPtZ6hsYsW3vSRbMmsDSZctQUVZGIBDww8CBeHh4sHjJEkYPCWf1xr1iwufUsQjc3NyYNPFruxYPd3e2btlC23aB3Lt7k6GjJtOnWyC9evchJKTqXRw+fITM7By27jkhdh8/zp3CiBHD6da1q2ibw4L6TJs+g83rljN+6rxq7//fQS0Tc6bM+vE/dj0pUv4oUiEl5X8CGRkBQqpK0n9NRUWlRK7O75GVl08tbY1q97VrYM3IPWc5P7YHhl9ynDILihhz4ALDwtpWa/pZXlFB/wVr2d4nEN96FnzKLaDNst08/3yQro3rU1ZRyebYu3zIzqP01QfGr93BosE9/7Bz8+GY64xcvpllnVrgYGJIaXkFG2JuU1xWQUlZOYry4r/q91+nUVpejkstAyYGBPIpt4BBi9Yx54fudG3RBANtLUbtPcvY/efRUVXiXVYeqooKrO0RgFcdU1rY1Wb/jUeMaiXeoubsoxQsahjQoI4FVzYu5OWHT7QdO5dxrT0Y0NSF1xnZtF66h8aWtTh1/xlaKkq4W5lw4IcQvBft4MKtqvDcr1FUkGfp8N649RvPnoHBohwsgDMPkkn5lEkbN2c+ZeXwPj2LZvUsJMbo2MieOSdiOZ7wFGtDXa6kvGFx5BUG+Liw59oDhu6OpLJSSON6lhxbNBnnurWrfdczewQRNH0uNnXriokoADMzM4KDgwkMCkJBQQE9PT18m7dhxarVxFy+TJMmTXj37h0REYfo1msgzg2rz3XLSP/MhbMnACFysrJMGD+eoKAgUdjtp7Vr8Q9oy51b12jYyAOhUEhZWRnl5aWEhEi6jFtYWGBmZkrKs0RcG3uy+9A5Tp84xKkzZwBoFdiRgMBQlJSURedkZ2dx/95tNm+QrIrrFd6T8F59/qNCSoqUvytSIfU3RSgU8uB5Kh8zsrAxq4XZN9qBSKlCXUUZV5vaHLr9RCJ5eMeV+7T1dPnGmdXjaGXOteTXFJSUirVZASgoKUVdSQGH6etwtzRB7UsLlV7+zRga0qba8eLuJ2KgroLvlwneQEOVyxN74z5vM0vOXsVER5NeXg0IcalHUVk5fkt24eNkT4DH1/sur6gg9t4TsvMLcLKujUWNKjGx6cQFlu05SlZ+Ia3rVyWOu5jXwNbYgKSP6Sw5e5Up7b6ab6bl5LP8/DW29W1PWm4BPTYdZfeAYA78EELY+t209XDhc1YOlyeGU1pewe2X75l8+BLnxnSnbo2qFidjW3vQZvke1JUU6ObugLysLKcfPGPU/gtsnvzVUsGihgFqSor42dXm4dtPdNtwmG7uDjSrZ8GLz1n02Xqcbu4OTG3nTQ+3+hy7fEMkpJ6/+0h+UTHWJsYoKypgaqjHilH98F++mfbONtgY6XL95Xvik99waN44FOTlkJOVpayigvLKShRkxG0jikrLUFZSZNP1RN5+ziAnv4DC4lKef84ir7gURTk5fho3gLBmnnyLipIiGtWzoltIEJmFkqE1gLrW1tStW5f0jAzkFZTo+8NIZsxfzsmjB0h4cA8tbR227DlOnbq2AJSWliKsrBQ5ST9+eI9BvcPw9fWlU2gHPN0bsXrNGp4lJzNxwgQEAgEKCgoEBrbjfOQxoi9EciRiD/l5uaiqqhITHY2Pt7eECK+srMTMvGqFVUlJmZCOPQjp2OObz1paUoyCvIJE1R+AhoYGRcWSoWkpUv6JSIXU35DEV2/pM3c1Wbl5WBrqcC/1PU0c7dgwYRCa1SQBS6lizoBuBE9cSEFJKZ0a2VNaUcH2+Husj00gavWsPzWWmZE+htqaDNxxig3hbVFVrDKIPH0/mYjbT1BUkKedpyu2tU2poavNson1MdarPvlWKBRy9WESOQVFdF53CEdTQ3p7OZFXXEJRaTkJM38Qc1FXlJdjVIvGbDt1USSkou8+ov+CtRioq1BTW4Phya9p6mzPilH9mLXlAIcGh9JuxV4+5ORTW18bgUDArgEdGLb7DKsu3uDU/WeENrTlfXYeh24/YWjzRrRxqAOAupICM45Gc2l8OAbqqhyMuoq5gTbWX/rj2dcy5FVGDjOOxbBrQAfkZWWpZ6zPocFhdNt4lAkRl5CVlcHeohZbpgyVyLvybehAxO0nHLmdyO6BwWIh0S5u9njN30preyuU5OUoKy/iTtJzhi/bzLtPGeioKfMpt4Bhof6M796Bjs088HKwYfe5WF58zqCJeyPWTR8j+r3Q1VSngZU5Ebce081dPES6JS6BsGYerBzZV7TtztPnbIuMRs+4kkn9nfB3+33BnW/qiFsrPRbOGl9tVV9cfDzv3r2nffsgZGVl6ds9iPB+Q+g/eDQVFRXExVzgwJ5t5OZm8/H9Wx7cu4sQIQ2cGjJk5GRmTRnJ9GlTCQj42guzU8eOdAgOxtvbW9RgtrKykpiLZ3F2duLYkcOYmJhw5+5dpkyZwrLlyxkz+msT6uTkZNLSPuHiKtnk+ltci4umvLyMW7du0ahRI7F9Z86exbXxtwWnFCn/JKS99v5m5OQX4tRrNJPbeNDTwxEZGQFFpWWMj7jEu6IyTiyWzNuQ8pW7SS+Yv+MQF24/QFZGhkDPhkzpFUodE+PfP/kXVFZWou/fixZ2tYlNSsXVwpjXmTmUlVcyO9iXQTsjSTu97XfHEQqFTFy3i2Mx1xjo7YSZnhZRiS85kZDE5LZNiLj1hPNjJVcFbr18x9gjl7mycSHP333EZ/AUtvYKpJltlQgpKi1jyO4zZFZAdlY2MkIhhaVluFoYs6pbG7HJffzBC1x784mUtx/p5eFIPx9nMcf28opKzMYu597sHwhbd5g+HfxZue8ot6f1E41TXFZO941HSE7LoFMjO4RCOHArkQY2lqwbNxCBQICGavUi/82ndFz7jsNST4vLE3tL7F9y9irvMnNJTMskyM+bH3cdYWFIM0JdbZGVkeHF5yx6bz1BO19PJvYQL3WvqKgk8tpdIq/eBsDfoyGG2poET17I6BZuhLnaUlRWzta4BA4nPCN67Rxq6VcVCjx5+YawKYvRUpKngakR99+kkVlUQsS88d+s8KwoKSLXxIFMldqE+HsRFNiW/v2+vqfLly8zctQoLl28iI5O1Tv+9OkTIaFhzFq4ivWrF1NSVICHuxv7DxxgxPDhdOzYEXl5ec6cPcvs2XNQVlEmNiZGQqDt3r2bu3fvsmzZMsrKyvBu2hTjGsZEHDwglleWkZFBU19f9u3di42NDbGxsUyfMYNBwycS2iWc9M+fOBd5jLzcHOo7uuDu1VQiL+1oxB7Wr15Eh/btOXrkCKtWrcLBwYHKykqioqKYNHmKtDWLlH8U0l57/0XsOncZ99o16eX1tbxZWUGe5Z1bYjdtHQ9SUnGwMvt/vMO/B+8+Z3Is9gYFxSV4OdTD3d4agUCAc93aHJo//i+PX1peTml5Bbv6d+BdVh4P3qahq6aMq3lNhAjJLSqmsrLym+1DfiYm4TGnYm9wZVJvkQ9SkJMNzevVZvLhS2TkFZJXXIL6r1zKrya/oZ55LQA2HDtHuIejSERB1XdiVdfW1J28Bi0VJYy11Igc1ZU2y/fQbeMRenk2QE5Ghm3xCdx9+5moNXNw6zeeIc0bUUtHPPdLRiBARiAgJS2T5I/pBHo1ZPGeI8Q9e4133arvmpK8HAcHhdJm+V6uvsvCpW5ttk4fQWPbOr+bx2VioEfftn6ci7vB1MNR1K9lQJCzjah1jZmuJgduPkJJRZXnbz8Q7uFAp8b2ovNr62uzs28QTRZuZ1ioP6pfkvkLi0toP2EB+Xl5dGlUFSZbsHUfaurqHFs4iVURp1g6bytycrK0925MzNq51NSvEjclpWUETVjAVH8PsZWr/TceETh+Po/3rPxNM1eBQMCazfsZ1r8LR48eo2FDF549S+bx40ds3bJFJKIADAwM6Nu3D4vnTcXO1oYfFy1i3LhxDBwwgF69eomOC2zXDgV5eWbNnl3tOzUzM+P8hQs8f/6cRT8uRklRmdDQEInvoK6uLu7u7nTq3IWSkmLqOzgxbsp8hMDA8FBuXo+nWbNmmJqasHT+FGTlFVi3NQI9/apQcUVFBWuWzeentatxcHCgVq1aDB02DFkZGfILCpCTV2DJmq1SESVFyhek9gd/M24/eUZLW8lEWTlZGZrbWnAzMfn/4a7+Xizdd5yGvcdyP+E+GamvGDB/NW1Gzya34PvlbCgpKGBdy5CYpFfU0tHA36EOjWvXQkZGwIXHL3CyMvtdEQWwMzKKwb4uEmaS7RpUuVnLysky7uBFyisqRfuevP/MqqhbDPqSb3Uv6QVNbSTFs5qSAq61a5GRV0CXxvXRUVPh4rieeNUxZfn5ayyMjOdZWgajOgdipKOFg5U5Ew9d5P7rj2LjnH2UgqGmGv23n6CWtjqB4+czd2A3wrceZ0vsXT7m5PPwbRoDd56moBIOzRvHvIHdcLOz/kPJ8PsuxrP5xEXsauqjrarEvhuPcJ6xgaSPVeXzZx6moKKmTuSyacTdeyx6N7/ETE8LM31tHr18I9o2b8ch9BVliR7Xg0G+rgzydSV6XA/0FWU5GnuDndNH8u7EFlKPbGTlyL4iEQVwLO4mdQy0JcJ/nRvbU89IlyOXb0jcw89Nin/GuKYJEadiaRfclUdPkkjPyERf3wB9A8legtbW1nxK+8DYMWOQkZEh5vJlOnToIHFcixYtyMnJIS0tTWJfbFwct2/fpmu37ljbOuHwG87mCgqKzJi3jIfPM1i0cjMrFs9i/46faOhcn7YB/ly5Eo+VlRWnTp7Ay8ONKWMHic5NffkcWTlZHByq3k1IcDDRUVFs2rSJZUuXoqCggJuHzzevLUXKPw3pitTfDC11Nd5nV9+r611WHjoakgaK/yTO37zH5mPnuDG1r6j0fU4HX4btPcPolVvZPHnod7vWmG4dGLVlP4cGh2FlWDUJJ31MZ1zEReYN7ik67kFKKo9fvsFIVwtvR1uxRsCfs3KwqCcZJhIIBNjUNKBjQAsOXozDfvp6/Gxr8ymvgGspb1g6vDcudasSg3W1NHidIdkAWSgU8iYzBwtjI9EEr66kyOBmrgxu5gpAj03H+JyTi1234WgqyaOkqUboTwcx19ViR78O3HjxlsG7TqOhrMiMoKZ0aWxPv+0neZCSSsS88SzZc4y5p+JRV1Gmk58XK6a0+6a9Q3Ukv3nPuFXbuDi2u6i/3pjWHuy4co+u6w8zPciH6KRUbm9dgqyMDGmZ2WQVSLp2C4VCsvKLRNcWCoXsiIzm0tjuYhWZsjIyTG/XhGaLd6GvpcnrtM9Y1apBlxZeaH/x5xIKhVx58BT32tWHez1q1+TJLwTbL8k3dSRL1VI0zqI5k4i/fJG+fXpjampKXFwcYWFhLF+2TKyiL+FuAuXl5RgZGQFVn39lZaXE+D+nWsyfP58lS5aIHMZv3LjB0WPHiDh5Gcs6VQanZ08fY8/WNXTq2FEitHflyhUmzV6BQCBg9OCeVVV2Pb9+Z58/f07nLl2ob2/PiOHDaeLtw+vUl5iaWfA8+Sn5ebliK66ysrJYWVlRVFyMouIf//ylSPknIBVSfzO6tvSm6/Sl9PV2Rkf1aylyQuoH7r3+SOtqSsP/Saw7fIaJbTxEIgqqrA/mBTfDfto6MnLy0NVU/40R/jhdWzQhMzePZot3UtdYH2GlkOS0DGb07USwjxufsnLoPnM5L959xM2yFslpmeSWlLJrxiga2lRNto7WtYlJSpXwoyouK+f2y3csta1D1xZNuJ/yihuPn6GhqsIODxfUVb5+9j3aNGXK2h2EuNiipvQ13HTs7lOQkWVKr1AWbt1Pb68GYqIiLTefS4kviEt+zaourQh0qnL2rqisZPrRaJxmrqeekR6begUS4Pg1RDeqpRsh6w6hoqRAeXk5Pk52dG7RBH93Z7EJO6+wiGOxN0nLysbB0gy/hg4Sq3RbT10i3NNRoklxTw9Hlpy5ypiDFzk8fwKGOlqsPXwGYy0Nfoq6RbN64i7mkQ+SUVBUwPZLuLOsvIKs/EJq60uaMdbW1yYrv5D7CQ9wNDHg2o3bzN9xiL2zRlNUUsKkn3bx9nMGPtbVh8gfvvvE+cfX2HT8An6u9ZnYI4T6lpLH3roez+VLZzlx/Bjq6lXfOU8PD5r5+jJi5Egux8SgoKBAcnIyO3ftQk5OnhcvXlBWXo6xsTEHIyIYMXy42Jhnzp6lrrU1T548obGbG94+Prx/955Xr17h3bQlsyaPQF5BAb9W7XBp7EF5JYwZO45RI0dUJZvfucOs2XPo0qMfevoG3L97i+KiQnr2EM/Ds7S0pGvXrhw4cICpU6dS18aG1JfP2btjAxfPnkRVVZULFy7QqlUrsfN2795DyzZB1b43KVL+qUiF1N+MRrZ16OjnRbPFOxnWzJU6hrrEJ79mY2wCa8cOROVXuTT/NFLefsSljWSfMC0VJUz1tEj9+Pm7CSmAoSH+9AlozrXHzxAA7vZ1Uf5Swdd52hLcaulzYmB7UdXd8YSnBE9aSML2ZehqqtM/qAVeAyfRwtZCZH1QWl7B2IMX8Khvg2XNqhUKRyvzb/YDtDU3QUdbC/d5Wxnu50pNbQ0uPHnJ8YQkDi+YgJO1BeuOnCV8y3Gmtm1CHUMd4p69ZuLhKFxtrDBSkhWJKKhatZnToRkHbj7mx04taVS7ptj18opLyMzN5+WzZHo3tOZzXiGzNu7m4KUrbJsyDFlZGSKv3aHf/LV41DHFUk+LGecvM0ko4OiiSZga6onGevU+jfY2tSSeSSAQ0MjSBF9vdxrZVlUPXrp5j1EtG7Px8h06rYtgqF8j9NRUiHyQzNKz1xjTNUgk9hTk5TA31OPWy/cS93/z5TtqaquzqXdb0bbopy/pNG0JcjIybAwP4MWnTKYejSYh9QNOv2jVc//1Ry48es6FcT0w0lAj4tZj/EfP4cjCiTSwEF/BOnn0AN27dxOJqJ9p1KgRurq6DB8xAjk5ea5cucKUWT/yOvUl/QcMoKCggBZ+fmzfvh15eXm6de2KgoICJ0+eZN78+QiFQpo2bUpUVBSeTf0pLStj7fL5KMkLGTliKMVFRWzdto2VS+ZQWSkkI/0zQR06UJCfj6mZBeF9hxDWtRcAb968wtbOrtoQrJ2dHYciIigrKyMlJZm3b15xJfYip0+dZMaMGYwZO5Z379/j36YNubm5bN22jTt3E9hzWNqSRYqUXyIVUn9D5g3shq9LfbafukTEgxfYWphwfsUMbP9kr7j/RUwN9Xj07hM2NfTEtucXl/ImPVssD+Z7oaKkSHMXcW+qW4kpfPycycwhoWIrJ0FONkQ+fM6OMzGM7twOcyMDds8cTd95a6ippYaJriZxSa9wsbHC38OJ8NkrkZOVIcjHjQB3F7GwoFAoZNbWA2w8dp52DazRltVn7sm4qjBbCy+uD+kjslw4unAii3Yfpe2qA6Rl52JnZsywzkHE3HmIt4nkO5GREdC0rjmnHzyTECJDdp5mUVgL+jT5uvrZubE9rZfv5WDUVdzrWzNgwU8cHdoRF/Ov4mLF+euETl5E84YORF69g1AoREtDjbupcoQ0tBW7hlAo5MHbT/Sv9VXEyMnJUVEp5MTwLmyJTWD6kWhyi0vwsDLBREcDDTVVsTGGhgUwLuI8R4d2FK3eZhYUMWLPWUa2FDe69LWxoIGJIea6mrSws6TdhRv84NuQoFX7CXO1xcm0BrdfvefAzUds6NUWh1qGVe+ieSO0VJSYum4X+/fvFYX1AHJysjCuISnqAczNLRDIKePu5cOMhT+hoalF/OVLHNq3ndOnTqGrq0v79u3p268fK1asAMDLy4vt27ZhZWXFmC+5VIHBnRnStxPhPXswcMCAr8/j68vIkSMxMzPDuGZNlixdyvHz16htKZ5fZmJizpPHj6u1aXj8+DGmpqZs2rwZM3NLrsZeYuCAAZw5c4bnz5+zadMm9u3bx/r161FSUkIoFBIU2v0/2mNPipT/BqRC6m+IQCCghatjtX3Q/un0C2rJ7E17aF7PAu0vk6dQKGTB6Xh8nOww1NH6t1w38dVbbj99jo6GGn4NHbifkop3XVMxEfUzPtamRCW/EP3c1MmOpANriL77iIycPIb3NGDYsk0cORdFx4b1KC4rZ+HW/Ww8do7D8yeg+KWly8Goq5yIucbdmQPQ++KTVFpeQfiW4xSXlon5VqkoKTKrX2dm9essNmk+fvmaF+nZ1T5TamYOV56/oY9XlS0DwLG7iXzOLyTcU/y7pyQvx0i/Rmw9E0Xiqzd0bmwvJqIAhvs15qeoW7x6/oJt4QEIBPDTpdtsjr1D58Z21K9lyNmHKay6eIO7qR+Qk5Hh2sMkXG2sUFSQJ9jXnY0RJ+noasdQv0YM9avyLnr6IZ3mP+5g8e4j9Pb3Fa3K/tC+JakfPuE4fT0t7auMSE/fT8LZrAYDfCT9oFzMaiArEJBZUERqRg7TAn0Y6NOQnVfvcznpFafuP+PosM64WYqvoIW52jHmwHleleui+YvtdvWduBwbR5s24iasJSUl3Lp1ix0HIrGwrCPafuTgLoYMGYyubpX9grOzM0pKSnTr2pWxY8eKCZ3Fixfj4enJyxcp3LxxhVXLF4tdQyAQMGDAAIYMHcqUyZMxNDBgUO8wPJo0Q0VVjfdvUtHU1iEwuDNKKqrs3LVLLEcqJSWFnTt3YmZmTn5BIZt2HWXUoJ7UtrBg8pQpzJg+HTc3N9zdvgrSJ0+e0H/gDwwZOfEPFVpIkfJP4S8JKYFAEAbMBOoBjYRC4e3vcVNSpHyL9t6NuPnkGQ3nbKZrI3t0VJU4+SCFUgScXDL1u18vt6CQ3nNXcefpC5ramPM2K5dBizfQt11zXqZLJoADvEzPRl9bXNDJycqKhPGAhT/hYW7E4jA/0eTZ28uJLhuOsOLgSSZ0r/JK+ulQJDMDvUUiCkBBTpbFYX54zN/KzL6dUVaULNH/5YTcs40v/qPn0K+JEzW0voag4p6lkvI5m8HBrfFauB0bY32KS8t5lZGFuZ5OtS11zHQ1Sc/J49nrd3SoJlwnIyPA3bIWLe0tcTCpWtFZFx5AYVkZfot3Ua+GPu+zc1gQ6sfO/h149TmbhXzIR2cAACAASURBVGeuEHP3Icd/nEywjxuL9xwldO1BpgZ6UykUsi0ugZP3qjy3opNeczjmOj1a+4iec+HgHgwN8+f8zfsA2NrbknDvYbWhrMtJr/CwNMF55gb01VQ48zCZGUFNmdy2Kim81uhlWOhLCnE5mar+gRXl5WLbQzuH0761BydPnqRt26rWQEVFRcycNQtHZ1cxEQWQ9vEd1nU6iX1O2tra+Pr6StyvpqYmdvb1efLoHqoqKqioSHp0GRgYkJ2dzfIVK+jTpw81jY2JiYlh/95thIeHo6amxoQR/fD0bs72Hbs4c+Ysnp4evH79mrNnz+Hi6kH7sK40bxmAgoICVnXrcev2bVJSUnBxkRSitra25OZkU1RYgKra9wufS5Hy385fXZF6BAQDG77DvUiR8rsIBAIWDOpB99ZNiYi6QlphMY52dbl6PxHrTkMwM9Sjf1BLfmjfSixM9q8ycNE69OUEJM4bhLxsVcuRaylv6LLxKBWVQn6MjOf+mzSyCotxMatBe2cbtsbf49Q3RF1RSSlHY2/wYPYPYpOnnKwMkwM8Cd92SiSkUt59pKG5ZGVZLR0NVBQVSMvKxtxIstT+l9jXNmVEp7Z4L9rBAG9n6hjqcCXlLRG3H7Nj+kiau9RnWFgAN58kIy8nh7VJDRx7jiI9v1BMwAFEJb7CydoCDVVVnnxI59cd3YRCIclpmfRuIl4QsbJra2qPX0nSx3TiJ/cWmYHqqamwf2AIfkt3czL+Nh18GtPazYVbd+8TsuYARWXltLKzxN3ShAWn4/GwMmHI0o2cjL/JlF5hopyyWvq69AloBlQJX/tDkVx4/JwWdl/DcEfvJJL0MYPktEy29A5EQ1mRDqv3c+7hcww1VAluWA9PKxMO3HjE8BbiYcHzj59Tu4Y+2jq6om2lJSVs27iKkuJipk6bxsKFCzEzNycp6Rlunj4sXCb5J9HC0pq7CQm4urqKttWsWZP3Hz5IHCsUCvn86RNm5pbIyMrx+PFj7OzsxI5Zv349WlpaHIqIEAktd3d3mjRpwqTJk4mJjqZjWBgdgkOYOncZBfn5PH38gLr2royavAhdPfECgG7hA/ihVxh6eno8f/4cGxsbsf3v3r1DXl4BJWVpd4U/S0VFBZEnD3Pi8D6yszKxc3Cie+8fsKpj8/snS/nb85dmGqFQmCgUCpO+181IkfJHsbMwYUp4KE9T33Ht7gMWBzfl1eIRrO7kx+HzMQxc9NNfvsarj5+Iu/eExR39RCIKwN3KhF6eDmirq7D72kNa17diXGsPSssraL1sN+28GlVb5QVVE72inBz66qoS+ywNdPiUnSv62cRAl8fvP0kc9ym3gLyiEvQ1q2+q/GvGdAniyMJJfESeg49eoWVck2ubFonyvtSUlWjmUp8mjvUw1NGiU3MvBu+KJK+4RDTG9edvWR11i6GhAfRp25yt8fd48TlL7Dr7bzyioLQU719Vw6krKVBRKcTNykTMUR2qBGQvDweOxlwDwLyGPun5hTib1eDFjyPY0b8DBwaHcWVyHxJSP9DJ1Q7vWroEjJnD3aQX/BoNVRUOzB3LwF1n6LDmIDOOxdB21X4mHo1hcIg/tfW1MdPTosemo4S52jEvpBk9PR3ZGpdAVOJLFkZeYdfV+5SWV1BZKeTMg2SG7D7DlJ4hYsJ34uiBpD5PJPL0Ke4lJLBgwQIUFRUxMq7Jjys3V7ti06VHf7Zu3UZKSgoAL1++RE1NjbVr11JSUiJ2bGRkJIpKKtjVb0DfgSMYP2ECb9++Fe2/d+8ex44fZ8CAARKrVV5eXmhra3Pz5k20tLTo3bsXJ4/sp5V/ECPGTaNHn0ESIgrA1r4BE6cvID+/gIWLFlH+ixW4yspKli5bTlBIZ2RlZSXOlfJtKisrGT+iH3u2raVLx2Bmz5yGsYEW4Z38ib986f/79qR8B6Q5UlL+KykrLydgzFzuJ78kcf5QNJSr8mbcrUw4NrQjLrM2kfDsJU7Wkuamf5THL97gYlET5S85S7/Ex9qMXVce8HDuIFS+7PetZ4F3XTMmH4v9puu5rqY6cnJyPHn/GdtfWQLEPUvFzvxryKxfUEvmHj9HI4uaosbJlZVCZp+IJaRpY5HD9x/BydoCJ+u+v3nMhuPn2XbyIu/Ts1CUl8Ny/Cp8bWuTnl+VU7Rx4iCRQJzZtzNNF+2gYyM7autpEZv8hsuJLxnfxkMib+zMgxTMjfRQquY9AqgoylP6ZdJu69mQcWt2cGRoJ9F7hSpDznkhzdlx5R7rwtuiKCfLzM37qm2Z5G5fl6T9azged5Pktx9oX7cunZt7sfdCHC4WNRm9/xzj23gyoOnX8FWgU10CV+3Hwa4eBx+8YNzBi8jKCLAw0mfponnYtv6aX/Ts6WPu3r5GTFQUiopV3ztvb2+aNGlCcGgol6PO0bxlACXFxTxPSUJFRRUzC0vs6jdgzMTZhIZ1xMBAn/T0dFq1aoVAIMA/IIBBgwZhaGBAdEwMp06d5qetBxEIBHQNH0BhYQFB7TtgZm5GVmYmeXl5GBsbY2RoWO07rWFkRG5ulSg3NzPjwqXLv/nZ/4x/YCjuTXwZ0CMY/7Zt6RQWhqycHMePn0BeUZmp89f8oXGkfCXq/GlSXzzjUMRB0felQYMGNHRxYez4YZyPe4CcnHQq/m/mdz89gUBwETCqZtcUoVB4/I9eSCAQDAAGAJgY6v3O0VKk/DZ7L8Tz6v1HurrVF4mon1FRkKeTqy3H427+JSFlqKPFi0+Z1VY8pXzKxEJfS2yyB/B3qMPME3HcTEzBzU7SoVtOVpbBIW0Yse8cEYNCRY7nbzNzmXo0hlk/dBcd2yegGbeePKPR3C10aWSHqoI8RxKSUFJR5fjEYf/yc/2az9m5tBg+g4KCQhaGNaehuTGP3n5izqk4yuUVmTYwBJ8Gtsj/4o9933Z+NHd1YO/5OJ5nZtPa14teoe0Ysng9TmY18PnSWuZKyhtGHTjPvB96MHrVVjILisT80QAO3U6kTbOqPKX8wiIMNNUk2tgAeNYxYcrhqv/gu7jVZ+zBCxSXllbbyqWyspLrj5LYfzEeVUUFZm05gHcDW56+eM3nnDyODessdrysjAwT2ngy+UQc1zf/SHZ+AeUVFWgpypFn6sjPa29CoZBL507T1MdHNCn+jEAgoK2/P9fio3n1IoVtm1ahp6tHTm4OunoGTJ21hKDQLmRlZ3LqyF4ux8Sgrq5OZWUlZ86c4cfFi5FXUKJF60AiTl3GqEZN0bj9B4+ma/gAHt2/y7u3r4mLucDVuCguXrxIs2bNxO6jsLCQ69evIycvT2FhIU8SE7G2EQ8L/hba2rocOBHNldgooi6cprKykv5Dx+PTrJV0wv8XOHXsIOHhPSW+L+7u7ujp6nL31jUauTf5xtlS/hv43d8KoVDo9z0uJBQKNwIboapp8fcYU8o/l/3nL+NmURMFuerDDApyspT8Kjn4z+JStzYKioocvPlYrPdbdmExS85eY4CPs8Q5AoGAmtrqZOXmf3PcsV0CScvMov60dTSzrU1JeQVxSalM6NGBYJ+v+TkyMjJsmDCY20+fc/TyddLKypgxsActXB2/S/4XVAmO1iNn8e5zBg/mDBKFHGtqa+BRx4SGszejp6kuJqJ+xtzIgMk9xTOlhGMGMmr9LkpKShEIQFZWjiXD+xDS1I2EZ8/ptP4wa7q1pq6RHtmFxSw/f52UjFy6tKiaSPS0NMgpLCa3qERCID9Ly8BIs8qdXOaLsK2slPxTIhQK6Th1MbpyAm5N60cNLXXeZ+Ux6UgUn3Pz0VBSqPZ7Y6ylTnZ+AQBaX6wWKkqKRPvPnDzCulWL+PjhPWVlpaSlpTFxwgSsrb8K5sKiIpKTErl3+xoHDxzAwtxcJJSGDujC7ohzHIvYzYxpU0T+UzIyMgQEBGBrZ0dISChDRk0SOZr/ElVVNRp7eAMQ3LE7aR/fExLQBK/ISNq0qWpUnZ+fz9ixY7G0sqKJlxcRhw7x6NEjtuw9ITHebyEjI0OTpn40afpd/vz/o8nPz0NPr/rFA109PfLzq+9kIeW/B+m/F1L+K8nOL6SThz3zT8UzI6ip2MRYXlFJxO1E1k4Y/JeuIRAI2Dp1GIHj5xOdlErzeua8z8pjU9w9ahrqkZ5fJHFOXnEJd16+w6Eac83yigo2HDvPtlNV4bPaNY0wqFkLN3trNs50/Gb7n4Y2liKn9O+JUChk1MptpLz7SLBLPYm8LXUlRTo3suNIzHUa1LEQOy/2/hP2nL1MZk4uzjZW9Gnnh5GOFu28GtLW04XkNx8QIqROrRqiEOeiwT1Zsvc4/iv3IwMUFJfS2q0B51fOFLV+0VZXw8/VgSVnrzK7g6/omiVl5Sw8HU/PL7YMR+8k4mZrVa1Bbez9J7z7+JkjU/uIqg+NtdXZ0qsdzrM28i4zh5efs7D4lSv6+cfPca33tdLul731Th49wMrFs1m0aCHubm6UlJRw4OBBevTsyaGICExMTCguLubw4SNkZWUyZvRodu7ciYqyMv7+/gQEBJDy/DnbN68h9dVLUR+7X2Jhbk5paQmzpoxmzqJVv9vH0NDImJ+2HGTK2EEsW7ESfT09Hj18QIsWLdizezfKysp06tSJ+QsWsGvrOhav3Pyb40n599DApTFRUdE09RHvT5iXl0fC3bvMWvTP7lbxv8BftT/oAKwG9IHTAoHgnlAobPU7p0mR8pdpZGfNi/RsnMyM6LHxCAvD/LDQ1+Z1Rg5jD5ynlpEBTRzr/eXrOFqZc2fbErZHRnPiSTI6mupsnTYCY31tmgycTBNrU9rUt0IgEJBXXMKgXWdo69lQwhhUKBQSPmcln9M+szTEF2sjXa4/f8uM45epoaf9b+mheC/5Jcv2Hefao2eoKSnS0c+LoaH+ovYzc7YdJP7OfXp5Nfjmyp6msiKfS0rFnmPsmu1Ext9ioI8zpuaWnHucgmufcxxdOJGGNpYIBAKsTSWrDWVkZBjfvQOjOrfjY2Y2WmqqYq1wfmbZ8D60HjWb+28P0MGpLrlFJWyNS8C+lgHd3R3Yf+MREw9HcWDu2GrvOer2Q9o7WUtYOMjJyhDsbMON91n02XaC/QNDMPyywnU15Q2Lz13j2KJJYufkmzqSrmTO6mUdWLVyBU5OVZOekpIS4T178vnTJ9b+9BNBgYGsWLkSE3NLcnJyOHnqFK1atiQ3L48BAwfSsmVLOoaFMWLUGIxr1uLp06c4O4uvaFZVxclz99YVrsZF4+ktHrKrDocGLpy4cINHDxIYO7Q3ixYtwt/fX7RfIBAwbOhQmnj7kJebg7qG5m+MJuXfQaduvQnxb0KDBo60DwpCRkaGrKwsxo2fQCv/IAwMa/z+IFL+1giEwv98lM2lrqXw6ob5//HrSvnfIeXtB3yHTGNFl5bcffWB7VfuIRRW9bCzr23CuRUzq/VY+p5cfZhE/wVrUZQVUFNbg9sv3tLWsyGrRveXuHb03UeMWrqRK5N6oSj/9f+XD9l5uM7ZzINdKzDQ/n6T3KU7DwmfvZKxLd0IcKxDen4hqy/d4lVOIV1aNGHLyYu8/PCJx/OG8C4rl/DNx7g36wdRqxuoEk3u87YyNjwMQx0tdDTUSMvIZvjSDVyZ3BvNXyS7H72TyIyT8Tze+/srKX+E4tJSIqKuEXPnAQUlJbz+mM6jl28QCAS42VoxvW9nPOtXXzo+b8chct+9ZV6IpBAZf/AiBubmFBQVs/H4BRxMjcgpKiazoJiVo/oR4PE1Ab2ipIhcEwfufKjgh96hXI6OkhgvOTmZ0LAwTEzNCevSi+iLZ6ltZsy0adNE7yEvL48uXbvi6+tLXPw1/ANDuXT2GDu2b0NJqeodlpeXM3rMGIwMDTE1M+Pm3Ye/uYKUm5NNxN7txMacRyAQ0LR5GzavX87pkycxMJC0xPD2acrWfacwMTX/zfcu5d9D4uMHTB0/hNzsLIyMjEhOTqZtUBjjp85DQfGf3fbrvwVbc607QqGwYXX7pKE9KX+Za4+S2HE6io8ZWdhbmdEvsMXv+hv9Vaxq1WDfnDEMWbyByvJy6tQw4Mm7NPq0a87CQT2Q+w+UaHvUr8vD3Su48SSZrLx8HK0svtmi5tjl6/RwsxcTUQA1tNTxs7Pk9NU79A74/RWIP4JQKGT0ii1s7BkgapZsoa/Njr7GhK6NYPWBE/T0cOS6ujJGmmoYaapRr4Ye/badYFGYH4aaamTkFzL1SBSZhcUMX7YJBzNj3mflkltYTE8PBzERBdDe2YYpR6K4/vgZ7vZ1q7utP4WSggI9WvuIzDehSlwJhfyuQG7v3ZiA0eeZ4O8plmeVU1TMoTuJXAzvjLWpMaO7BHIn6QUqioo0srX65ndGTl6e0tKSaosOSkpKMDCsweHIeDIz0lmxeA5rVl4WO05dXZ1hQ4cyZ+5cevQZQvfePxBz6QxNfX3p1KkT8vLynDp1CkMDAxYtXMiNmzc5fzH6m8/3+VMaPcJa08CxPoMH9qNSKOTQocMghFu3bhEQECB2/Js3bygoLMDAoLqaISn/CerZOXDoVCwpyU/JycrEyrqetNXO/xBSISXlLzFvewTbT11iUFMX/GvXJT75DV4DJ7F92gj8GkrmgXxPvBzqcW/ncu4lvyKnoBBHKzO01b9/iOy3kJGR+UPCobSsHGWV6v/zVFWQp+wvJsb/kscv31BWVkYLu9pi2wUCAUP9XJl1LAZHE0PinqWK9u3s34GpR6JwmbURdSUFPucVoqehhr2xPpt7t0NHVRmhUMjhO4mM2nuWgU1dqKmtITa2iY4GNx4nfxchVR3VVedVh52FCUE+jWm3aj/T2zXB0dSIe6kfmXkilo7NPUVhR211tT/0HTUxNUdbW5fo6GiJCrl9+/fj16odAJ8/fcTQ0BA1NcnvoHXduhQUFNKpex9kZWWZ8+MaQgK8KSkupqSkRNSSRSAQEB9/hXp2324PtWLxLFq19GPihAmibU19fOjTtx8LFi7EyckJY+OqZywsLGT6jJmEdemFotIft8uQ8v0RCATUsf7r6QZS/n5IhZSUf5m7SS/YcvIi8RN7YaBRlajs71AHfwcres5bQ/KBtaK+cd+D0rJyNhw/z64z0WTk5OFoZcbwToE0dfrjpd3/XzR3dWTdgeP093EWW60oLC0j8kEy4wb2/I2z/xxFJaWoKylWG2LTUFKkpLwC77pmDNxxiuS0DOoY6qKsIM/Szq2YEdiUVst2UdfSgpuPnqIiL8vxu0/p2MgOVUUFQhvaEv/sNZtj7zIjqKnYczx4k0aYYvWfd1FJKR8ystDVUEdT7fs7YxeVlHLk8nUePk/FUEeLiT2COXvdgpnHzvHq42csahgwqFMgPVv7/P5gQFlxIQCZKrW5fjUWPQMjRo0ew8QJ42ndujW5ubns3LWLq9eus/fIRQBqGNfi48ePZGZmoqMjvtpwLyEBe0cnlL+4gtcyMcfDy5eMzEzmzpkjKo2/fPkyBw8eYN22iGrvq6KignOnjxEdLbliNXfObFq1bk1A23a4u7ujqqpKdEw0Ps1aMXTU5D/2IqVIkfKnkXaelPIvs/NMNP28GohE1M941THF2lBH1P/se1BeUUHHqYs5Ex3PwiBvLozuRlvrWvSZu4rd5/6Y2eD/J4FerhRWCBl78AIZ+VWT9MvPWXTbeJRWjRtgVevPJZy+eJ9G5LU73Et+ya/zHOtbmvI+K5eUtEyJ8w7fTsTb2gxVRQWmB/nQftV+jic8Ja+4hEfvPjFw1yk+FxTz7v0HZgY1JcDRmsgHyXjN38rHnCpLh3YNrLn05KVozJKyckbvO4e8rCwe9uJ5S6Vl5UxZvwfL0B9oPWImdToOptecVaTn5PK9SHz1FoceI9l/8jw6ZYU8ffQY5/AxKCrIc23TIj6c3MrVjQsJb9P0T+VvvbbpwKwpo5g7dRS+3h4MHNCfTZs34+HpSWjHjlQIFNl96Dw6ulWl7RqaWrTyD2LuvPliruAfP35k5erV9OgzmGdPHzN57CD8fV148/olt+8k0NDVlf79+xMYFMTUadPw9/dn7LA+vH/3RuKeyspKKSsvR1dHMixkYGBAUVERkdF3aNoyCEdXb/YdvcT8JeuqtVOQIkXK90G6IiXlXyYjJxdXi+qdlc11tb7rZHky/jbp6RlcHNNdlBDd09MRF/Ma+K/YSbCPW7Wl8H8XFOTlOL10GhPW7qD+9PWof1kZ6tuuOVN7hf3hcbLy8uk/fy3XnzzD2dyY5I8ZaKqrsX3aCGzMqgwclRQUGN0liG6bjrKldzvsaxpQWl7BnmsP2Bx7l2tTqxzO+3k7U0NTjRXnr9Nr8zE0lZUoKCnFxaImJ4Z3FlXydXGrz6zjMYzZf449A0P4kJ3Pq/QsfBdtx0hTjfjk1+ioKmNVqwYOVuLtYX74cR0ZaZ+In9QbU11NsgqKWBh5hTajZhO/fsFfXrGsrKyk87QlTG7jTg+Pr+Gwoc1cabN8O642ltQxkawg/CNcOneK+3euc/zYUVRVq/5ZGDx4MBGHDrFz914mTl8oIcwmTF/A6CG9aN6iBX7N/cjNzeXixYv0HzwaRUVF+nQNpF+/vvzQtyfp6en8tG4dCvKytGvXDn19fRo1aoSsrCyLfvyRbRtXM2XWj2LjKykpY2FhydWrV/H09BTbFxMTQ31HZ3R09QgK6fIvPbMUKVL+PNIVKSn/Mg2sLYl59lpie0VlJZeTXol5D/1VDkVdoY+no1hVGYBdTQPsahkQk/Dou13r34WOhhqbJg3hxaH1RP80j+cR65jVr0u1Zpffosv0pdRUluXpvCEcGRzG/ZkD6eduj/+YOeQWFIqOG9mpLb3bt6L9mgjsp63HauJqFp29hrGWGjOOxfA6IweA+rUMMdBQRVlBnssTe6GvrsKkAE8JO4TRrdyJefqKD9l5rI66SX5JVSgvNSOHVvZWCIVQWFLK+/Svq2DJb95z4eZ9dvdvj6luVUWitqoyC0Obo6Uox7G4m3/ldQIQez8RBRkB3d3Fc53qGevTw92BbaclK+3+KMcO7aF/v74iEfUzIcHB5GRlkpz0ROIcVVU1Nmw/9H/t3XVYlecbwPHvQyOpYCIidmJ3dytiYeewFs6a7eac09k1c86YMZ09u2Z3zI5hYYJKd7y/P1AmP3DCATko9+e6vK6d857zvvd5ppyb93me+2b6vBXY5XSmWOnKbN9/mp4eXzBh9GCmTv2Jvh4eFCxYkCpVqrBi+XJy5MhBYGAgVapUietj17ZNGw7t35loXJ8NGMzYcePx9PSMe+7WrVtM+H4iffp/rfPn/RAiIyM5f/Ykp04cJjj43UVqhfiYyR0pobPuTWtTdv2fbDp/g9Zli6CUIjI6mrGb/yK/Y84UtWf5f+EREViZJb7Y2NrMlNDwyGScK5J5G3exevdfvAgIpExBZwa5t6RO2RLvf3MqsDQ3iytAmRznb3ly7/Eztnr0jauRZGCg6FG9NPtv3Gf13qP0bx1bxk0pxedtmtK3VUPuP/XGwtyM+0996DJ+OraZTKk+aRkGBoromBgKZMtClfy5cbK3JTg8kgLZEk4bWZmZYm1mSqt568mbOxdP/YLY/qU7pfLE7gTTNI1JO47R7bvZ7J/7HQB/XbxGk5IFEvQqVErhVqYwB8/+TYd61RJcKznuP/WmVO7siU7ZuThmY/vtJ0k6T0xMDIcuXuPgmYuYGhvRsH0XXrzwIY9TwubTBgYG5M6dm5cvX7zzfCVLlaVkqX/rRF2/+jcKjVo1ayY4V4/u3VmyZAmdO3dOUqzNWrUjwN+PDh07kiePE1pMDI8fP2bQsHHUb9Q8SedIC7u2b2LKxFFktbfH3NycO3fu0NPjCz4bMDhVSmQIkV5IIiV0Zm9jzZbJI+g2YRY/7T5JgexZOPXPI1wKOLH628Gpeq1a5VzYcuY8rcvF3/XiGxzKsdsPmFsyaTvFIqOicBs5GeOoCOa61ydPFhsO3bxPnx/mMqxza7z9Avjz+FmevPAlf67s9HNrgnv9auniB//5m57ULeqcoNAkQINieTl54w60jl8P19jIKG5qK5d9FoZ1dWP8knU0KOZMVqtMHLn9EE2Dhd1jv4AtzU05evsh7pXiJ5X3X/jxKiSM8X27cOn2XYpntohLoiA2OfqmSTVWjVvI5X8e4FLACRNjY4IiEk9wQ8IjMUuFOl/5HXIw+8HTREsTXHz4nPxJWHsWEByC28gp+Pn506p0QQL9omjfwwP7HA6cOHGCcv9XODMwMJAbN25QoGDSdyeGhoZgbWOT+AYAGxtCQuNXyd+4aRO16zZ+5/k6dvuM1u27cOXSeZRSuJQun67qEZ0+cYQp349g0cKFcVXcHz9+jEe/flhYWNK5R99E36dpGkGBAZiamWOSxF2aQuibJFIiRcoWzsflVbM4fuUWz1/5Md7ZkaJ5c6f6dbo1rs38P3by067jfF6vIplMjLnn48uA1bvo2KAGOe0yv/8kwOYjZwgOCGTP4E5xCUmnyiUp5ZidWpOXky9rZia3rU/x3Fm5cP8p367cwLW7D5jYN2l3Cz4kWytLnvgl3pfrsW8gma2t3nuO/q0b41qzEvW+GE+2TIH80KYu9YvFlklYf+YaAWERfLftCBWcc5H/9Z2pwLBwvlyzm4FtmtClUU027D9Kn4oJi2EaGRpQLm8u7jx6iksBJ5pWKcvwect57BsQr1RCWGQUK09dYfbQfroMQzzVXYpgaGzEksMX8Kj9bzHNy17PWX3qCkcXvr/w7/B5K8hvY87c/m4YGMQmOsMbV6HRrHUsWbKUalWrxlUhDw8PZ9z48dRt0ISsyajLVKRYSe7fu8eTJ0/iShO8sWPHDrJmzUpkZCShoaH8tno1mzZvYc2mff95TjMzcypUrp7kGNLSssVzGDJkSLxWOA4ODvw0eTJ9+w3AvWufuGlMiE2gNqxZzrLFs3nxwgeAhk1aMmTEBOzss6Z5/EIkubz71QAAIABJREFUhyRSIsUMDAxSpR3Lf7GxzMTe2d/y9aylFBwxFzsrC/xDwujr2pDR3ZO+WHvToRP0rl4qwV2d4g7ZKJLDjqFNqlG3WOyUZBOXglTM50DZ7xbTu2UDnHN+2CKj79OsSlkGzVzKpYfPKP3W3aAXQSEsP3GZjT+OSNJ57G2sGNyxJT+t2kifX7eTw9aKyOgYlKEhe2aO59S1W9SasoLKBRyxNDXh4PW7uNasxLhe7QHInd2e609e0MSlYLzzaprGzac+cUVJs9pa801XN5rOWsu4FjWoVjAPN5++4MedxylZMB+1ShdL8Zgopfh94jBaDpvEHxduUrOgI54+fuy/fpf5Qz3IlyvxzRBvBASHsPnIGf6e0DcuiQKwzWTG+ObVGLvnAv36D8A5Xz6yZ8vGyZMnqVilBhMnT09WnBYWlnTp2Y+BX3zBrBkzcHJyIioqiq3btrF16zZy58lLiZIlMTAwpH6jZqxcvwuH3Hl0GpP04PKl80yb8kOC54sXL05UVCQ+3s/IkdMh7vklP89g17YNTJv6E2XLlOHVq1csWryY7h2a8vvWg1hYvv+XBCH0RRIp8dHIk92ejT+O4IV/AL4BQThmt09ykcY3wiMisXjHlJKthTn/P/NiZ5kJ17JF2Xb0LF+1b5bo+9KKhbkZ84f2xXXGEjxqlqFqAUduP3vJ3INn6da0TpLWpIVHRNJm1BSC/AMY26w6VmambDx/g6P/POLQvAk458qOSwEn3OtXZ++Zv/H29adg4YJEREax8a9TuNaoSK8W9WkzYgodKhYnd5Z/7zStPPE3RsYmVCr2b4I12L0lBXPnYt6GPxn2xwFy2mWmR7N6eLRskGrTpfkdcnBp5Qx2nLjAlbsPqFmoMHPGDMLS3Iyl2/ezevdf+AYGUaZQfr7q0DzeJojnr/ywt8qEfSK1rUo5ZsfXz48DJ65z8vhfBAT4M3Dod+R11q2BdP8vh2NkZESbdu2wt7PH19cXB0cnlv62hWIlShEZGYmhoWFck+ePmbW1Nd7Pn2NvZxfv+eDgYEJCQ7Cw+LdoaWCAP8sWzWHHn9vj7tbZ2dkxauRIHj16xJY/1rxzKlCI9EASKfHRsbexxt7G+v0vTESd8i5sOneRlmXir295ERTCuXtP+LV3qwTvsTAxIjwy6YvZP6TWtSpROE8uFm3Zw08HzpPDPjM/fzMgyQvlF2zZgwoPize12bx0IWbsOcng2cvY/Lppr7VFJiIiI/l+2XpalC6Es70NyzftYNziNWyfOpohnVpR7cdf6VS5BHmyWPPXrYdceuTNn1NHJ0iQWlQvT4vqibaoSjXGRka41qyIa82KQGzdMfcx0/Dz9WVo/YrkzmLNgev3aDHsBxYO7x/XUy+HXWZeBoXgHRCcoB7ahQdPccqTFxNTU2rVTXkvdgMDA/p+PpTufQZy/+4/WFpZkdsx77+f4ROq9dTctQOLFi9m1syZ8f4+rFy1ispVasRrnnzh3ClKlCyZYMoToFWrVqxdvyndJFJBgQFs3biWc6ePY2pmRpMWbahRu8EnkfwK3UkiJTKU7k3qsGDTLibvPMbndStiaWbC7Wcv6btiO9bmpthZxL8zERkdzdZLt1nTpqWeIk6omLMjs7/uo9N7V+/+i6lutRNMbfarU57pI+bi4xdAVltrbj98wvB5K9g3tAtFcsYWnBzWBH45coGO46Zz7tdpNK1ajtV7j/CPXwDN6tdiZd2qWOiwG/FD2HLkDM+8fdg3pDPGr9fiFHfIRgXnXHSbvpiGFedjbGSEVSZz2tWpyuhNh1jYrWncuLwMCmHCjpP0GT4x1WMzMzOnSLGSqX7e9KSXxxf07tyK3n360KljR8zNzdm2/U+OHz/BivU74r3WwMCQqHf8ohIdFZXo5gp9ePzoIT07NqdE8eI0btSQwIAAZv/0LVv+WMPUOb9glIwyJuLTIv/nRYbyZq3VkDm/UmjkPGwymfEiMJj+dcpz8h8vPv9tJ9+61iabtQVPfAMZvmE/JfPnpVxh3aZz0puXAUHkyWKT4PlMJsbYWVngFxhEVltrfvlzPz2qlYpLot7oVaMMCw9f4PiVm1R3Kcq4nu1TFM/F2/c4f8sTO2srGlcu896GxP8lMiqKrUfPsvf0RU5cuUmzYs4YqvhfwlUKOJLTxpLjV27FtRaaPKAr7cdMpfyEpbQsXYiA8Eg2nr9J2049ady8dYo+X0ZlYWnFr+v+ZOvGtSxftZbIyAiqVq/LhpE/xlWCf6NcxSp8M+g29+7dw9n532lXTdP4ff0GGjZP+hrID2nCmMG4d2hP/37/bpJo27Yt3Xr0YPP632jXqYf+ghN6JYmUyHAcs9mzfuIwXgUE4RcUzG+7DrNh/xEGNajIoRv3cRm7ADNjI8KioujRtC7fe3TSd8ippmxBZw7euEeP6qXjPe/p/YqA0HAcs9sTExPD7QePaV8ib4L3K6VwcczO/ac+VHfRfYPBq4AgOo+fgeejp9Qpkhcv3wC+nLGERSP607RKufef4P/4BQXTbMhETImhffmiFK/mwvJjl7jj/YrfPNziFRi1s8xEcGhY3GMLczO2/jCE41dvs+/eK6ytHVjz7WLyOKVeHbSMyNw8E+5deuPepfd/vi5TJgu+HDKaHr16MWbUKGrWrMmTJ0+Y//PP+AUE0txV/4mUj/czrlw6x6L5s+M9b2pqyoB+/Zgzf6EkUhmYJFIiw8pibUkWa0vG9W5PmcL5WLR5F55PvClbyBm3ulXp1rh2um47o4uv3FvS9duZlHXKiYtj7I62l0Eh9P9tF/1cG7Fg8x7mbdiJX1Awhy9d5+idh3znWpvMFuZA7F2CSw+f0fc9u+Hep8+keRTOYsEWj75cfeTNiuN/ExkZSY/v57BuwhDqlnd5/0neMnrhb5TKkZnZHRvFrcnxqF2O9j9vYP6BM3zdqAoQW3fs7N1HLC0S/w6jBji2G0GvFH0qoSv3rn2wz5qdBYtm88WXX2Jrm5mWbu4smzAbMzNzfYfHq5cvyJo1W1xz6bc5OTnx8oW3HqIS6YUkUkKQNgui04MapYoyeWA3XOetIH/2LFibmXLa04vuTevgHxTCvuNn2NDPDRfH7DzzD+KH7UdoOXst+4d1w9TYiMWHz2NiakqVEoV0juGfR085e+MfVv0wgCWHLzB113E8apejdpG8nPT0wn3cdH4Z9UWS/3+ERUSw4dBJLn7rEW9hs7GhIWNa1KTXsq183agKT/0C8Vi5g44NapA9i63O8X/Mrl6+yNXLF7GxzUzteo0wN0+4W1Ff6jduQf3GLfQdRqJy58mLt7c3z58/J3v2+L9EnDx1isJF06YrgkifJJESIh264/WEXacuomnQuHJpCudxiHfcy/sFx/6+iZmJMfUruGCVKem/tbvXr07rmpU4cuk6oRERLC1RmIjIKMr3HMLlCf3i7j7lsLFkTucm1J+6kl7LtvIyJJwnAcFsT2RnXnJcv/+ICvkceOQbwI87jnJ0ZK+4XnwtyxSmXYXitJryM7fLzk/S5/IPCsHE0JDs1pYJjhXKYcfDl/5U+3E5D1/60bNZXSZ8lvEa+vr5+TJ4QDcePbxPtWpVefr0Gd+PHcyEyXPTVVuZ9MrCwhK39l0YOWoUc+fMieu/ePv2bebMncu0ub/qOUKhT5JICZGOxMTEMGjWL2w+fJpWZQqjlKLBmi00q1qOeUM80NAYPHsZGw6eoHbRfASFhzNg2iImenSid4v6Sb6OqYkxDSqWinv8254j1C2WLy6JekMpRfdqpVl84grDu7rRolr5ZDVZTkyOLLb88/wVa05doXNll7gk6o2yTjmpWsCRrUfP0qVRzXec5V92NlYYGhly8+mLBIvjT9zxopiTAz8P70chx1yJJmaRYSEJnvvUjB7Sn4L587Ly16VxFcUvX7lC7959cM5fkPwFkt7uJqMaNHw8E0Z/Tc1atahatRr+/gFcvXaVEWMmUb5iVX2HJ/RIEikh0pF5G3dx5eYdLk/oi9Xr9VkTW9emzc9/MGv9dgJDQrn9z12uTRyAtXns8TvPX9Jizu845cxG/WSuLQIICQvnyKVrBISEJXo8Ijqa4s6OuNWqrPsHe0uFogUwNjHh7N3HNCud+BRhXjsbXvgHJOl8RoaG9G/dmK9/38v6fm3ixu25fxBjtvzFyF7u79x1GR0eyl1zB+6HW+EQEkymTBaJvk4XwUGBbPljDceO7MfI0Ii6DZvTrGVbTExN8fF+zrJFs9i3axuRkZFUqV6bPgMGU6BgwtY7KfXwwT0uXzrH/DmH47VlcSlZkk6dOrJ25VLGTJia6tf91BgbG/P9T/Po9+VwLpw7hbmZObNr1k3VvzPi45Q+CnQIIQBYsGkXP7rVjUsGACxMTZjSpi4LNu1mydZ9zOvcJC6JAiiY3Y5xLWow5/ftyb5eQHAI9b8cj9cDL07+48XT/+vlFx0Tw6JD56heurjuH+r/KKVYPvZLzj18xp6rngmOa5rGX7cf4pLfKcnnHNbJlSIF8lNi7AI8Vuyg+y9bKTdhCR0a1aZ93cTvFjx45oPruNnUbNWOwQO7Ua9Kcab/OI7IVCi+6uP9nPYt63Du5CE6tHGlRbNG/LlpNT07teDBfU86udVHRYey/NdlbNr4B0UK5qWHezOuXr6Y4mv/P887NylRsmSiC6UrVqyI550bqX7NT5lD7jy0cG1P/cYtJIkSgCRSQuhFVHQ0j3xeEhD877RSdHQM95+/pFzenAleXypPDp77+mNlbkpe+4QLpWsVduLK3YfJjuOn1VsobGfFti87UCmfAw2mrWLfNU/CIqO4+sibLos3ERkdw74zl5J97v9SMr8T55dN49z9p/x28jKapgGxiduUXccxNjGJq/OUFIaGBswd8hnHFk2mapUKNKxTg8urZjGiq1uirw8IDqHhkB8oVaMuJ46fYO/u3fy5fRu3r19i4rihKf580yaNoUH9uvw8fx6NGjWiRfPmrFq5Aoec2fhmkAcN6tdj7Jgx5M+fn1y5ctHXw4Nvhg9n2qQxKb72/8uWPSf3790jJiYmwTFPT89kNV8WQiQkiZQQaUjTNGb9vp2C7QdQ3WMk+dv1p+O46TzyeYmhoQE5Mltz/YlPgvfdfvYSm0yZ8A0KISgsIsFxT29fstomv23Omr1HGNKoCkop7r3wo1u1Uny/7Qi5vp5Ou5/XUzJ3dnYP6cLeM38TFJr41J+uHLPbs2/Od8w8cI5KPyyj+y9bcRm/iP3/PGHjjyN0arvhnDMbfVrUp3uT2mTLnLDw6Bur9hyhhEsp+vcfgJlZbDX2XLlyMW/uHPbu3MLTJ490/lxhYaEc2LcTj88+i/e8UooB/fvzz+0bdOncOcH7WrZowfWrl/HzfaXztRNTrEQpzDNZ8MfGjfGef/XqFct+/ZU2Hbql6vWEyGhkjZQQaWjCsvXsOX6GzQPbUcIhGwGh4cw9cIYGX47n1JKf6NOiAeO3HmZtX7e41iZR0TGM23qY3i3rc+O+F7P2nWJMi38XYUdGR/PT7pN0a1o32fH4BYXgkNkKgFfBofSuUYbhTaoleF0mUxMCgkOwTOUWMMWdHbm0cibHr9zksc8rhjrmSlLz5ZQ6fPkmDd0S7t6ztLSkSpWqXDh7imat2up07tCQEIyNjMicOXOCYw4ODkRERGBunnDRu7GxMcYmxkREhOt03TeCg4N48tgLe/tsZM5ih1KKKbOX8lnX1hw9eoyaNarz9Nkz1v3+O27tulCp6vsX9Ash3i1FiZRSairQAogAPIGemqb5pUZgQnxqXgUE8fOm3VwY/xnZbWK36lubmzK6eQ3uePuyYtchhnV2pdMtTyr/sIwO5YthYKD4/ewNnBxyMKpbG174B9Jo0LdcfeyDW9kiBISF8+vxv3HMmYO+rRokO6ZyhZzZe9WTNuWLUcoxOwdv3KNdhfhTalcePcfIyPA/7/C8zfPxM9btP4ZvYBAVihakdc1KmBi/+0eNUipFVdJ1kcnUlICAxBezBwQGYpZIopNUNraZsbC05vKVK7iUjN9T79ixY2TNmo0dO3fSu1f88p8nTp7Ezi6rzlNtEeHhzJgynq0b12Fnb88LHx8qVqnO2O+nU7BQUbbvO822Tes4efYCNraZmb90HcVKlH7/iYUQ/ymlU3v7gBKaprkAt4GRKQ9JiE/Tyau3qJDPIS6JelvbskXYf+YiJsZGbJg0nLnD+uNnYsFLQ3NmDvFg8+QRmJoY45A1C6eW/kTD2tXYfvsxZ7wDGefRhd8nDtOpLMHQzq6M3nyIq4+9+apBZcZtPsTNpy/ijj8PCOLz1bv5sl0zjN7a8fUuM9Zto1b/0bzyekhOLYJlG/+kbI/BPHiWcLpSn9rVqsi61auIiIg/TXr79m2uX79G1Rp1dD63gYEBPfp8zujRY/D2/rfi9d27d/lx8hR6eHzJgoUL2bZtG1FRUWiaxsmTJxk+/BsGDhqpc42u0cMH8uShJ7t27mDfnt0cO3qEgvny0KtTS8LDwrCytqFzj778OGMRI8ZNliRKiFSi3izyTPGJlGoNtNU0LeHk//8pVzi/dmLRpFS5rhBpLTwiks1HTrPv9EWMjYxoVbMSDSuWxtDwv38v2XvmEpN/WcvewQn/iWw4e42N1x7yx4/ffKiw32nlrr8YvfA3nLNmxjckFK8XfpTKkwObTOacufsIj1YN+a6P+3u/4I9dvkGPCbM5OLQruV5PFwLM2nuKnbe8ODjv+w/9UZIsJiaGDuNn4h2h6N+/P46Ojpw8dYo5c+cyePi3tGyTsqKdmqbx8+wprFq2gFKlShEREcGtW7f4athYOnTuxd8XzjJ10mg879zC2NgEaxtbvhg8mkbNXHW63j3PO3Tv0JQjh/9KsDuve4+eNHXtiGvbT6dnpBBprVhe2/OapiXabiE1E6ntwO+apv32juMegAeAY3b7cnfWzUuV6wqRll4FBNFsyPdYGRnQrlwRwqKiWHXyKrlyZGP9xGHxprAio6K4/9QbC3MzctlnITQ8goLtB7BzUEeK5coa97qYGI1mc9bSo3VTOjdMuF5F0zSO/H2d8zfvktnKgta1KmFrmbrbrsMjIjlx9RZRUdG4FHDi4u17RERFUa1kEexsrN5/AqDnxDmUsbNgQN0K8Z6Pio6h2NgF7Jg+lqJ5c6dq3LqKDg8lIiqKmZcC2PLHGl699KFw0RJ07z2Q8pUSrhHTlb+/H+fPnMDQyIgKlaol2C7/wsebyMgIcuR0SFG1+PVrlnP1wjGmTJ6c4Ni6des4e+kak6Yt0Pn8QmR0/5VIvXcuQCm1H0hs0n60pmlbX79mNBAFrH7XeTRNWwwshtg7UkmIW4h0Z9SCVZTPbc+MDg3jvvj61CyL+8JNzN6wg2GdWqFpGvP+2Mn0tdswNzbEPySMEvnyMOOrXkzq14XW89YyoVUt6hXPh9dLf6btPUWMkQlta1dJcD1vX3/ajJxCUFAQ9Ys6c9YvkJELVjHjq150alAj1T6XqYkxdcr+2y+sceUyyT7Hw2c+dHVJuFDcyNCAormy8vC5T7pJpADCnMviXiI/7l16f7Br2NjYUrdB03cet8+aLVWuY2ZmRkBgUKLHAgID00XjXyE+Ve9NpDRN+8++E0qp7kBzoJ6WWre3hEiHQsMj2HTkNJe+7ZugOe6oZtXovXInwzq1Yubv21mz8yBbP29HcYdsRERFs/rkZZoO+Z5jC38k54gBzFy7laEb9pPFyoLOjWsxqH0LTE2ME1yz9w9zqZE3B9+51oq75o0nPjSbvZISznlwKZD0opUfWgHHnJy//4SahePHFB4ZxRWv5+R3kHpFH0rNuo34YfxwvLy8cHR0jHs+LCyM9es30Lp9N7p3aMrfF89jY2NDc9f29P18KNY2GbN5sxCpKUWLzZVSjYFvgJaapn36DatEhuYfHIKJkRHZrBNOqxXMbsezV/6EhkcwY+021ni0prhD7N0GEyNDetYoQ8cKxZn3xw4aVCjFzhnjeLp9GdfWzGVUt7ZkMktYdfqO1xMuez5gTIsa8RK3ormy0q92WRZv2fPhPqwOPFwbMe/QOf55/m8dJE3TmLTjGKUKOFEgd8JCo+/j7evPhVt38fFLWruYjMrWNjNfDR1D5y5d2bhpE15eXvx1+DBdunYjs11W1qxYRLfO7pw/d5a1a9cQ5OdND/dmBAcnfhdLCJF0Ka0jNQ8wBfa9/kF/StO0fimOSoh0yN7GCkNDg0Sb4x6785BieR247PmA3FmsyZc1YQ0h17KFGbThYJKvd9vrKaXz5MTEKOFuuQrOuZh2MPXbiSTHrpMXmLvhT67e8yJ7Zhu6N6vHuN4dqP3TChqXLEguGwv2Xr+HiZkZW6Ykb0PvS/9Avpy5hAPnruBkn5kHL3xpUKEUcwb3IbNVwl2PyfGmSbGvReL99z5Wnbp74ORcgFW//sys2XPIlj0nrdp2Yf7MH/l12S8UK1YMAOe8eflx0g/0HzCQzetX06VnXz1HLsTHLUWJlKZpBVIrECHSOyNDQwa0bsygdbHNcd/0u3viG8iYzYcY91lnzEyMCQwNR9O0BIuHA0MjMDc1SfL1cmez4+ZTH2JiNMKiogDI9Hr67/pjHxyy2aXSJ0u++Rt3Mff37YxvWYPqHepx5/krJu86QmZ7O/5eOZOtR8/wKjCYKQ3qUqdM8WRVKY+Ojqbel+OwNFB8VrMMbcsXwzGLDeO3HsZtxBQOzpuQooXZAF5F3fDxfsb6Ncu5fOks1ta2NHdtT806DVN87g8pJiYG7+dPMTMzxzZzlgTHq9WsS7Wa/xZmPXf6OLly5YpLot5QStGhfTuWLFshiZQQKSSVzYVIhqGdXHnywpcSYxfQoHh+wqKiOHzzPoM7tqJtnSrExMRgYGTEwRv3qFcsX9z7NE1j8ZELuNVJvIFuYlzyO2FuZkbliUu46xNb57ZSPgcG1qvIvIPnWD5+UKp/vqTwDQzi+1/Xc3xkT5xe9/3LaWtF5fy5qTFlBZf/eYBHq4Y6nTs8IpLGgyfg7x9Is8olCY+MxnXOOhq7FGBmh8ZUnfwrhy5cpW65ku8/2X+4fvUSfbu3pVGjhnTt2J7n3t7M+HEse3ZuYeJP83VqT/Ohbdu4lgVzfiI4OIiwsDBKlCrDN2MmUbhoiXe+Jzo6GqN31BczNjYmOjr6Q4UrRIYhiZQQyWBoaMDsr3szpFMrDp6/grGRIfPHlsbeJrbPnYGBATMH9abH93MY1qgyzUoVwicwmLkHzvI0JILezesl+Vrnb93F29efSW51aVehGEopNp67To+lW+jSuBbVShb5UB/zP+05fYnqhZzikqg3TIwM6V6lJBsPnaBBxVI6nXvCsvXYGGhcnzQwrkXOqOY1cJ2zjl+OXaC5SwGOXb6RokRK0zRGDenPmNGjaNmyZdzzrV1dadu+Pfv3bKdhk1Y6n/9D2LxhNQvnTmH6tGmULVOGiIgINm3eTJ8urqzetI88Tom31XEpU5679+7y4MEDnJzibwLYsnUrNWonvxq+ECK+9PdrlxAfgTzZ7enRtA6dG9aMS6LeqF/ehe1TR3P+RRCNZ61lwJq9uLiUYM+s8Vgko1fdxGW/812rWnSp6oKpsREmRoZ0rFyS6e4NufvoaWp/pCQLi4jE8h1TlFZmJoRFROp03sioKJbvPMi0Dg3jkigASzMTvm1dm6VHLvAqOAxLHdu3RIeHEhkWwmXPh4SFhtCiRYt4x83NzenTqxfbNq7V6fwfSlRUFPNmTGLunDmUK1sWpRSmpqZ0dHenY0d3Vix5d00+c/NM9Pt8GH08PDh3/jyapuHv78/MWbM4e+487Tr1TMNPIsSnSe5ICfEBlCnkzMpxuk+9xcTEsP/CVVZ2bZTgWLsKxfli9S4io6J0aguTUrXKFGf0wlUEhUVgaRY/odp04Rbtmv1nxZR38gsKATTy2ifckl8mTw7u+fjxPCCEE/2663R+gKA8pbj5Mgu5cu1NdC1U7ty58X31ksOH9rJ35xYiwsOpVLUWzVq1xdw8k87XTYkH9z0xNjaiZImEU3jNmzWjb78B//n+br0HYGFpxfBvRvLyhQ8xMdHUqd+Elet3YWubcFOEECJ55I6UEOmUUoromJgEz0fHxKCU0tuiaOec2WhZvSKdl2zm/ovYtVv+oWGM3XSIRwEhtEvGOrC32VpmAlTcOd926eEzzIyN+KJdM/LmSFkRy4KFinL9+nUCAwMTHDt27Di+vq+YPWU8LkULUKt6JQ7s3ky75rXw8X6eouvqytjYhLDwMGIS+bsQGhqKscn7NzC06dCVnYfOs/fYZY5fuMvUOb+QI6fDhwhXiAxHEikh0iEDAwOaVirDqhOXExz77eRlGpV3SVIT4Q9lzuA+lCtVglpTVlB87AKKjvoZr/AYds8cl6ydiW8zNjKie9M6jNp0iMi3FkEHh0cw4o8DtKtXnZHd2qQ49qzZslO/cXNGjBxFSMi/5e9OnjzJilUrsbWxZvOmjXTr1o02bm4sW7qEhg3qMenb4Sm+ti4c8+QlSxZ7Dhw4kODY6jVraZDE9VxKKWxtM2NqlvTpZSHE+6Var73kkKbFQrzftXteNB70HYMbVqJzFRcUsObUFabtOcWO6WPTRVXzsIgInrzwJYu1Zar0/wuLiKDz+BncvOeFW9nCREbHsP7cDRpVKsP8oR4676aLDg8lRtMIylMKX4v8hIWF8u3IrzhyaC/ly1fA29sbbx8fjI2NmTzpBypXrhzv/YGBgVSvUZN9x69go4dq4GdOHmXwwB58/vlAGjdqREBAACtWruTU6bOs3rRPpuiE+MDSpGlxckgiJUTSXL/nxaQVf7Dj5AU0oGmlMozq0ZYS+fLoO7QPRtM0Tl+/w57TlzAyNKBl9QqUzJ+ypDE6PJQAR5cERTgfP3rItSsXsbaxpXzFatSrUowtmzeRI0fCdja16tRl6W9b37lD7kO7fvUSS36eydnqVscKAAAKJUlEQVTTxzAzM6dJczd69f2KzFn0V09MiIwiRU2LhRD6U8zZkd++/VrfYaQppRSVixeicvFCH/xaDrnz4JD736S0YOFinDlzJl5ZBAAvLy+CggLJnj35bW5SS7ESpZn58wq9XV8IkThZIyWEEK916z2QadNn8ODBg7jngoKCGD1mLB069ZL1RUKIBOSOlBDikxeTxCUMNes0oFffr3Bt7Ua5cuWwtLTg6NGjNGjckoFfJ69foBAiY5A1UkKIT1pkWEjcIvOkCgzw59jhA4SHh1GhcvV4039CiIxH1kgJITK05CRRAFbWNjRp4Zbs60RHRxMcFEgmC8t39rgTQnxaZI2UEEKkUFRUFAtm/0TdykWpV60ENSsUZNqksYSFheo7NCHEByaJlBDikxUdnjaJzJhhA7hw5gi/rVrJ5UuX2LJpE0+9PPnis07oY/mEECLtSCIlhPgkvV2E80O6c+s6p47/xeJFCylQoAAAjo6OzJo5A+9njzl14sgHvb4QQr8kkRJCfLKSu8hcF0f+2k/jxo0x+7/SCEZGRrRo0ZwjB/d+0OsLIfRLEikhhEgBQ0MDoqKiEz0WHR2NoaH8mBXiUyb/woUQIgVq12vC7t27CQwMjPd8eHg4W7ZspW7DZnqKTAiRFiSREkJ8ct6sj0oLeZ3z06RFG7r36MnZs2eJiIjg8pUrfObRlyLFS1GmXKU0iUMIoR9S6EQI8UlKi/VRb4wcP5n1q5cxeux47t/zJJdDbtp37Em3PgNRSqVJDEII/ZBESgjxyYiKjmbp9gMs332YZ36BFCxSkq69BlC9Vr0Pel0DAwPcu/bBvWufD3odIUT6I4mUEOKTEBMTQ9cf5vE0KJLBo8bh7OzM6dOn+W7UV/Tu/zXuXXrrO0QhxCcoRYmUUup7oBUQA3gDPTRNe5IagQkhRHIcOHeF64+82bxlG6ampgC0bt2asmXL4trajWYt22JlbaPnKIUQn5qULjafqmmai6ZppYE/gXGpEJMQQiTbhsOnae/eKS6JesPJyYny5ctz9K/9eopMCPEpS1EipWlawFsPLQDphSCE0IuwiCgsLS0TPWZpaSl974QQH0SKyx8opX5QSnkBnZE7UkIIPalTugh7du5I8HxISAhHjh6hQuXqeohKCPGpe28ipZTar5S6msifVgCapo3WNM0RWA18/h/n8VBKnVNKnfPxD3jXy4QQQicd6lXD654nM2ZMJygoCIAnT57w+RdfULdBUxzz5NVvgEKIT5JKrc7kSiknYIemaSXe99pyhfNrJxZNSpXrCiEExBbhfPLSl69+/ZOjp89hZ2eHn58fbd278cWQMRgbG+s7RCHER6pYXtvzmqaVT+xYSnftFdQ07c7rhy2Bmyk5nxBCpIRl6VpMW9oLP99X+L56SY5cDpibZ9J3WEKIT1hK60hNVkoVJrb8wQOgX8pDEkKIlLHNnAXbzFn0HYYQIgNIUSKlaVqb1ApECCGEEOJjI02LhRAfvTdNitOqt54QQrwhiZQQ4pMQlKeUvkMQQmRAkkgJIYQQQuhIEikhxEftzbSeEELogyRSQoiPXlCeUrI+SgihF5JICSE+epJECSH0RRIpIYQQQggdSSIlhBBCCKGjlFY2F0IIvYkMC9F3CEKIDE7uSAkhPmpeRd30HYIQIgOTREoIIYQQQkeSSAkhhBBC6EjWSAkhPjpShFMIkV5IIiWE+ChJEU4hRHogU3tCCCGEEDqSREoIIYQQQkeSSAkhPjqyPkoIkV5IIiWE+KhEh4fK+ighRLohiZQQQgghhI4kkRJCCCGE0JEkUkKIj4bUjxJCpDeSSAkhPhoxmibro4QQ6YokUkKIj4okUUKI9EQSKSGEEEIIHUkiJYT4KESGheg7BCGESEASKSFEuhcdHgqAV1E3PUcihBDxKU0PO2CUUj7Ag/94iT3wIo3CSa9kDGQMQMYAZAzekHGQMQAZA9DPGDhpmpY1sQN6SaTeRyl1TtO08vqOQ59kDGQMQMYAZAzekHGQMQAZA0h/YyBTe0IIIYQQOpJESgghhBBCR+k1kVqs7wDSARkDGQOQMQAZgzdkHGQMQMYA0tkYpMs1UkIIIYQQH4P0ekdKCCGEECLdS/eJlFJqqFJKU0rZ6zuWtKaU+l4pdVkpdUkptVcplUvfMaU1pdRUpdTN1+OwWSllq++Y0ppSqp1S6ppSKkYplW52qqQFpVRjpdQtpdQ/SqkR+o4nrSmllimlvJVSV/Udi74opRyVUoeUUjde/zv4St8xpTWllJlS6oxS6u/XY/CdvmPSF6WUoVLqolLqT33H8ka6TqSUUo5AA+ChvmPRk6maprlomlYa+BMYp++A9GAfUELTNBfgNjBSz/How1XADTii70DSklLKEJgPNAGKAR2VUsX0G1WaWw401ncQehYFDNE0rShQGRiYAf8ehAN1NU0rBZQGGiulKus5Jn35Crih7yDelq4TKWAmMBzIkAu5NE0LeOuhBRlwHDRN26tpWtTrh6eA3PqMRx80TbuhadotfcehBxWBfzRNu6tpWgSwDmil55jSlKZpR4BX+o5DnzRNe6pp2oXX/x1I7Jeog36jSltarKDXD41f/8lw3wdKqdxAM2CpvmN5W7pNpJRSLYHHmqb9re9Y9Ekp9YNSygvoTMa8I/W2XsAufQch0owD4PXW40dksC9QEZ9SKi9QBjit30jS3usprUuAN7BP07QMNwbALGJvrsToO5C3Genz4kqp/UCORA6NBkYBDdM2orT3X2OgadpWTdNGA6OVUiOBz4HxaRpgGnjfGLx+zWhib/GvTsvY0kpSxiADUok8l+F+CxexlFKWwEZg0P/drc8QNE2LBkq/Xie6WSlVQtO0DLN2TinVHPDWNO28Uqq2vuN5m14TKU3T6if2vFKqJOAM/K2UgtjpnAtKqYqapj1LwxA/uHeNQSLWADv4BBOp942BUqo70Byop32i9TqS8fcgI3kEOL71ODfwRE+xCD1SShkTm0St1jRtk77j0SdN0/yUUn8Ru3YuwyRSQDWgpVKqKWAGWCulftM0rYue40qfU3uapl3RNC2bpml5NU3LS+wP1LKfWhL1Pkqpgm89bAnc1Fcs+qKUagx8A7TUNC1E3/GINHUWKKiUclZKmQDuwDY9xyTSmIr9bfoX4IamaTP0HY8+KKWyvtmxrJQyB+qTwb4PNE0bqWla7tc5gTtwMD0kUZBOEykRZ7JS6qpS6jKx05wZbtsvMA+wAva9LgOxUN8BpTWlVGul1COgCrBDKbVH3zGlhdebDD4H9hC7wHi9pmnX9BtV2lJKrQVOAoWVUo+UUr31HZMeVAO6AnVf/wy49PquREaSEzj0+rvgLLFrpNLN9v+MTiqbCyGEEELoSO5ICSGEEELoSBIpIYQQQggdSSIlhBBCCKEjSaSEEEIIIXQkiZQQQgghhI4kkRJCCCGE0JEkUkIIIYQQOpJESgghhBBCR/8DRw76KbiFl4MAAAAASUVORK5CYII=\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Fit one-vs-rest logistic regression classifier\n", "lr_ovr = LogisticRegression(max_iter=10000, C=100)\n", "lr_ovr.fit(X_train, y_train)\n", "\n", "fig, ax = plt.subplots();\n", "ax.set_title(\"lr_ovr (one-vs-rest)\");\n", "plot_classifier(X_train, y_train, lr_ovr, ax=ax);" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Fit softmax classifier\n", "lr_mn = LogisticRegression(multi_class='multinomial', solver='lbfgs', max_iter=10000)\n", "lr_mn.fit(X_train, y_train)\n", "\n", "fig, ax = plt.subplots();\n", "ax.set_title(\"lr_mn (softmax)\");\n", "plot_classifier(X_train, y_train, lr_ovr, ax=ax);" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Softmax training accuracy: 0.952\n", "One-vs-rest training accuracy: 0.996\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Print training accuracies\n", "print(\"Softmax training accuracy:\", lr_mn.score(X_train, y_train))\n", "print(\"One-vs-rest training accuracy:\", lr_ovr.score(X_train, y_train))\n", "\n", "# Create the binary classifier (class 1 vs. rest)\n", "lr_class_1 = LogisticRegression(max_iter=10000, C=100)\n", "lr_class_1.fit(X_train, y_train == 1)\n", "\n", "# Plot the binary classifier (class 1 vs. rest)\n", "plot_classifier(X_train, y_train == 1, lr_class_1);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As you can see, the binary classifier incorrectly labels almost all points in class 1 (shown as red triangles in the final plot)! Thus, this classifier is not a very effective component of the one-vs-rest classifier. In general, though, one-vs-rest often works well." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### One-vs-rest SVM\n", "As motivation for the next and final chapter on support vector machines, we'll repeat the previous exercise with a non-linear SVM. Once again, the data is loaded into X_train, y_train, X_test, and y_test .\n", "\n", "Instead of using `LinearSVC`, we'll now use scikit-learn's `SVC` object, which is a non-linear \"kernel\" SVM. Again, your task is to create a plot of the binary classifier for class 1 vs. rest." ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [], "source": [ "X_test = pd.read_csv('./dataset/toy_X_test.csv').to_numpy()\n", "y_test = pd.read_csv('./dataset/toy_y_test.csv').to_numpy().ravel()" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from sklearn.svm import SVC\n", "\n", "# Create/plot the binary classifier\n", "svm_class_1 = SVC()\n", "svm_class_1.fit(X_train, y_train)\n", "plot_classifier(X_test, y_test, svm_class_1)" ] }, { "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": [ "# Create/plot the binary classifier\n", "svm_class_1 = SVC()\n", "svm_class_1.fit(X_train, y_train == 1)\n", "plot_classifier(X_test, y_test == 1, svm_class_1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The non-linear SVM works fine with one-vs-rest on this dataset because it learns to \"surround\" class 1." ] } ], "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": "3.7.6" } }, "nbformat": 4, "nbformat_minor": 4 }