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004_comission/raymondyaaa/quotation1/lecture_notes/lab3/FML_RegularisationLab_solutions.ipynb
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"metadata": {
"colab": {
"provenance": [],
"toc_visible": true
},
"kernelspec": {
"name": "python3",
"display_name": "Python 3"
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"cells": [
{
"cell_type": "markdown",
"metadata": {
"id": "tnPIhGezbB0l"
},
"source": [
"# Introduction\n",
"Welcome to todays lab session where we will focus on regularisation and model selection applied to a linear regression problem. This lab will all be in Python, but the majority of the code is provided for you. Please try and trace through the code, and understand what each line does. Run the code, and experiment with what happens when you change things to improve your understanding.\n",
"\n",
"The easiest way to complete this session is to log into a Google account and save a copy to your google drive. Alternatively, you could save this document to your machine and open as a Jupyter notebook."
]
},
{
"cell_type": "code",
"metadata": {
"id": "ExAVAwKZbxO8"
},
"source": [
"# Import numpy for linear algebra support\n",
"import numpy as np\n",
"# Matplotlib is our main data plotting library\n",
"import matplotlib.pyplot as plt\n",
"\n",
"# Set a training data range that's smaller than our test range, so we can demonstrate extrapolation\n",
"x_train_range = [-25, 25]\n",
"x_test_range = [-40, 40]\n",
"\n"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "markdown",
"metadata": {
"id": "WCi1o780fUCY"
},
"source": [
"# Creating some data\n",
"As we did in the regression lab, we'll generate some data to play with. To make the problem more interesting, we're going to generate data that follows a slightly more complex function than the models we're using to fit it.\n",
"\n",
"Below is a function called create_data, which randomly generates some quadratic model weights, with a weighted sin component to synthesise some data. Note that the function takes a parameter called noise_sigma. This refers to the Gaussian/Normally distributed random noise that we expect to see in our model. It also takes n_samples, the number of data samples to generate.\n",
"\n",
"In this case we're generating separate training, validation and test datasets. The test data has a slightly bigger range to test extrapolation. Remember not to look at the test data until the end!\n",
"\n",
"1. Try running the code below a few times, and note how the resulting plot changes each time you run it. Why is the plot changing? What do you notice about the plot for different model weight values?\n",
"\n",
"2. Try adjusting the value of sigma, what effect does this have on the plots?"
]
},
{
"cell_type": "code",
"metadata": {
"id": "oXqCjKfbfEvh",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 447
},
"outputId": "ac4fde5a-cc33-4c94-9fe6-3184a85dad0d"
},
"source": [
"# Let's start by defining a function some data that follows a linear assumption\n",
"# Note, if you change random seed to a number it will return consisten results\n",
"def create_data(noise_sigma=20.0, n_samples=10, random_seed=None):\n",
" # Create a random number generator with the specified seed\n",
" rng = np.random.default_rng(random_seed)\n",
"\n",
" def create_x_samples(min_max_vals, n_samples):\n",
" x_samples = rng.uniform(size=n_samples) * (min_max_vals[1] - min_max_vals[0]) + min_max_vals[0]\n",
" x_samples = np.reshape(x_samples, (-1, 1))\n",
" return x_samples\n",
"\n",
" # Sample some random points in x for training/validation/testing data\n",
" x_train = create_x_samples(x_train_range, n_samples)\n",
" x_valid = create_x_samples(x_train_range, n_samples)\n",
" x_test = create_x_samples(x_test_range, n_samples)\n",
"\n",
"\n",
" # Let's randomly generate some coefficient weights\n",
" weights = [rng.standard_normal(), rng.standard_normal(), rng.standard_normal()*0.1, rng.standard_normal()*10, rng.standard_normal()*0.5]\n",
"\n",
" def calculate_y_values(_x, _weights, _sigma):\n",
" # Regression defines a generative model of our observed target variables\n",
" # So we can use the same model to generate our training data.\n",
" y = _weights[0] + _x*_weights[1] + np.square(_x)*_weights[2] + np.sin(_x/weights[3])*weights[3]\n",
" # We need to remember to add our residual model noise. We sample random normally\n",
" # distributed values and scale them by the standard deviation\n",
" y += rng.standard_normal(size=y.shape) * _sigma\n",
" return y\n",
"\n",
" # Generate some training, validation and test data using the same model weights, but\n",
" # at different x values and with different noise levels\n",
" train_data = (x_train, calculate_y_values(x_train, weights, noise_sigma))\n",
" valid_data = (x_valid, calculate_y_values(x_valid, weights, noise_sigma))\n",
" test_data = (x_test, calculate_y_values(x_test, weights, noise_sigma))\n",
"\n",
" # Let's store the noise free, ground truth function in the right range for plotting\n",
" # In the real world we would never have this!\n",
" x_gt = np.reshape(np.linspace(*x_test_range, 100), (-1, 1))\n",
" gt_data = (x_gt, calculate_y_values(x_gt, weights, 0.0))\n",
"\n",
" return train_data, valid_data, test_data, gt_data, weights\n",
"\n",
"# If we call this function it returns some x and y points as well as the real model weights\n",
"train_data, valid_data, test_data, gt_data, weights = create_data(noise_sigma=20)\n",
"\n",
"print('The true function weights: ', weights)\n",
"# Show the ground truth function in cyan\n",
"plt.plot(*gt_data, 'c-', label='gt_function')\n",
"# Show the training data as x\n",
"plt.scatter(*train_data, marker='x',c='r', label = 'train_data')\n",
"# Show the validation data as o\n",
"plt.scatter(*valid_data, marker='o',c='b', label = 'valid_data')\n",
"# Show the test data as o\n",
"plt.scatter(*test_data, marker='s', label = 'test_data')\n",
"\n",
"plt.legend()\n",
"plt.show()"
],
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"The true function weights: [0.6445500186252922, 0.07113875829965072, 0.11172670628144198, -3.3199483998216754, 1.3484144976480836]\n"
]
},
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
],
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\n"
},
"metadata": {}
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "FzaH3s4ihXxt"
},
"source": [
"# Fitting a model to data\n",
"Here we'll fit a regularised least squares line regression model to the data.\n",
"\n",
"1. Read through the code below and see how this equates with the mathematics in the slides. Particularly look at fit_linear_regression, which implements the regularised least squares regression $$(X^TX + N\\lambda I)^{-1} X ^T\\mathbf{y}$$\n",
"Also look at augment_x and see how it allows us to fit a polynomial function to the data.\n",
"\n",
"2. Run the code for different generated data samples (running create_data again). Experiments with the poly_order and _reg_weight parameters to fit_linear_gression.\n",
"\n",
"3. Try adjusting the number of data samples and noise values in created data. How does this affect the results?\n",
"\n",
"4. Fill in the function calc_error such that it gives the mean squared error. Does it give different results for the training data and the validation data. Why?\n"
]
},
{
"cell_type": "code",
"metadata": {
"id": "4QtAmpqvhiZf",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 465
},
"outputId": "7fa2d4fd-9f6b-4a84-9012-629b07ce7799"
},
"source": [
"def augment_x(data, poly_order):\n",
" # Augment the x_data to allow for a polynomial model of the data\n",
" return np.concatenate([np.power(data, p) for p in range(poly_order+1)], axis=1)\n",
"\n",
"def fit_linear_regression(_x, _y, _reg_weight=0.0, poly_order=2):\n",
" # This time we're allowing for L2 regularisation on the model weights. To\n",
" # increase the strength of the regularisation adjust the value _reg_weight\n",
" # You can also change the order of the polynomial with poly_order\n",
" n_data_samples = len(_x)\n",
" _x = augment_x(_x, poly_order)\n",
" estimated_weights = np.dot(np.linalg.inv(np.dot(_x.T,_x)+n_data_samples*_reg_weight*np.eye(_x.shape[1])), np.dot(_x.T, _y))\n",
" return estimated_weights\n",
"\n",
"def f_hat(_x, _w):\n",
" # Calculate our predicted points for each value of x\n",
" y_hat = np.matmul(augment_x(_x, len(_w)-1), _w)\n",
" return y_hat\n",
"\n",
"estimated_weights = fit_linear_regression(*train_data, 100000)\n",
"\n",
"# Calculate our predicted points for each value of x\n",
"y_hat = f_hat(gt_data[0], estimated_weights)\n",
"\n",
"def plot_function(model_weights):\n",
" # Plot the fitted function outside of the range with a black dotted line\n",
" plt.plot(gt_data[0], f_hat(gt_data[0], model_weights), 'k--', label='fitted_function')\n",
" # Show the training points as red crosses\n",
" plt.scatter(*train_data, marker='x',c='r', label = 'train_data')\n",
" plt.scatter(*valid_data, marker='o',c='b', label = 'valid_data')\n",
" plt.scatter(*test_data, marker='s', label = 'test_data')\n",
" # Show the ground truth function in cyan\n",
" plt.plot(*gt_data, 'c-', label='gt_function')\n",
" plt.legend()\n",
" plt.show()\n",
"\n",
"plot_function(estimated_weights)\n",
"\n",
"# Fill in the calculation of the mean squared error\n",
"def calc_error(data_tuple, _w):\n",
" pred = f_hat(data_tuple[0], _w)\n",
" mean_squared_error = np.mean(np.square(data_tuple[1] - pred))\n",
" return mean_squared_error\n",
"print(\"Training Error: \", calc_error(train_data, estimated_weights))\n",
"print(\"Validation Error: \", calc_error(valid_data, estimated_weights))\n"
],
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
},
{
"output_type": "stream",
"name": "stdout",
"text": [
"Training Error: 692.6823082733507\n",
"Validation Error: 515.4499034414268\n"
]
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "yoK2g1uam-1e"
},
"source": [
"# Systematic experimentation with regularisation.\n",
"Let's try and be a bit more rigorous and draw a plot of how the error on our validation set changes as we alter the regularisation parameter.\n",
"1. Fill in the blanks within the for loop to create a plot of the training/validation error as you vary the regularisation. What do you notice about how the error changes on training/validation data.\n",
"2. Experiment with the change the polynomial order of the regression model. What do you notice?"
]
},
{
"cell_type": "code",
"metadata": {
"id": "UcpsUwx4nxBC",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 960
},
"outputId": "883e1320-bc7e-4bc6-98af-6d2c44f33216"
},
"source": [
"# Create a wide range of regularisation values from 10^-4 to 10^10\n",
"reg_vals = np.power(10, np.arange(-4,10, dtype=np.float64))\n",
"\n",
"train_error = np.zeros_like(reg_vals)\n",
"valid_error = np.zeros_like(reg_vals)\n",
"all_estimated_weights = []\n",
"for idx, reg_val in enumerate(reg_vals):\n",
" # You may use the same function as before for calculating weights\n",
" # but now you need to set the regularisation hyperparameter reg_val\n",
" estimated_weights = fit_linear_regression(*train_data, reg_val, 2)\n",
" all_estimated_weights.append(estimated_weights)\n",
" train_error[idx] = calc_error(train_data, estimated_weights)\n",
" valid_error[idx] = calc_error(valid_data, estimated_weights)\n",
"# Draw plots with the x axis (regularisation) on a log scale.\n",
"plt.semilogx(reg_vals, train_error, label='train error')\n",
"plt.semilogx(reg_vals, valid_error, label='validation error')\n",
"plt.xlabel(\"Regularisation Value\")\n",
"plt.ylabel(\"Error\")\n",
"plt.legend()\n",
"plt.show()\n",
"\n",
"def plot_function_regularisation(_weights, reg_vals):\n",
" colors = plt.cm.jet(np.linspace(0,1,len(reg_vals)))\n",
" for idx, reg_val in enumerate(reg_vals):\n",
" # Plot the fitted function outside of the range with a black dotted line\n",
" plt.plot(gt_data[0], f_hat(gt_data[0], _weights[idx]),\n",
" color=colors[idx], label=r'$\\lambda=$' + str(reg_val))\n",
" # Show the training points as red crosses\n",
" plt.scatter(*train_data, marker='x',c='r', label = 'train_data')\n",
" plt.scatter(*valid_data, marker='o',c='b', label = 'valid_data')\n",
" plt.scatter(*test_data, marker='s', label = 'test_data')\n",
" # Show the ground truth function here in black\n",
" plt.plot(*gt_data, 'k-', label='gt_function', linewidth=4)\n",
" plt.legend(loc='upper center', bbox_to_anchor=(0.5, -0.05), ncol=5)\n",
" plt.show()\n",
"\n",
"# Plot the different instances of our model\n",
"plot_function_regularisation(all_estimated_weights, reg_vals)\n"
],
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "ZHfFO4rixQq1"
},
"source": [
"# Now let's try looking at model complexity and regularisation\n",
"Ideally, we would optimise over both model complexity and regularisation to do our model selection. Which is what we do here!\n",
"1. Run the code below and look at the plots. Can you explain what the plots mean and why they look as they do?\n",
"2. Look at the code for choosing the best model parameters and try and follow what it's doing. What happens if you pass the train-error to choose_best_model? Does it give different results?\n",
"2. Calculate the model using the best parameters of the validation set. Plot the performance of the best model against the ground truth function, hint we saw some code for doing this earlier in the lab.\n",
"3. Calculate the error on the test data and compare against the validation data. Are they different? Why might that be the case?\n",
"4. Try running all the code again with different sets of random data"
]
},
{
"cell_type": "code",
"metadata": {
"id": "ouO4eeeYqkDt",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 936
},
"outputId": "96124d5f-a1c6-40e1-964c-bcce8b32bbd5"
},
"source": [
"reg_vals = np.power(10, np.arange(-4,10, dtype=np.float64))\n",
"# Choose a range of polynomial orders to test\n",
"poly_vals = np.arange(1,4)\n",
"# Create arrays to store the error on the training/validation sets\n",
"train_error = np.zeros((len(poly_vals), len(reg_vals)))\n",
"valid_error = np.zeros((len(poly_vals), len(reg_vals)))\n",
"\n",
"# Go through the different model set ups and store the error\n",
"for poly_idx, poly_order in enumerate(poly_vals):\n",
" for reg_idx, reg_val in enumerate(reg_vals):\n",
" estimated_weights = fit_linear_regression(*train_data, reg_val, poly_order)\n",
" train_error[poly_idx, reg_idx] = calc_error(train_data, estimated_weights)\n",
" valid_error[poly_idx, reg_idx] = calc_error(valid_data, estimated_weights)\n",
"\n",
"for poly_idx, poly_order in enumerate(poly_vals):\n",
" # Draw plots with the x axis (regularisation) on a log scale.\n",
" plt.semilogx(reg_vals, train_error[poly_idx], label='train error, poly:'+str(poly_order))\n",
" plt.semilogx(reg_vals, valid_error[poly_idx], label='validation error, poly:' + str(poly_order))\n",
"plt.xlabel(\"Regularisation Value\")\n",
"plt.ylabel(\"Error\")\n",
"plt.legend()\n",
"plt.show()\n",
"\n",
"def choose_best_model(error_array):\n",
" # Choose the index with the best error\n",
" best_idx = np.argmin(error_array)\n",
" # Calculate the best polynomial index\n",
" best_poly_idx = best_idx // len(reg_vals)\n",
" # Calculate the best regularisation index\n",
" best_reg_idx = best_idx - best_poly_idx*len(reg_vals)\n",
" # Now get the actual values\n",
" best_poly = poly_vals[best_poly_idx]\n",
" best_reg = reg_vals[best_reg_idx]\n",
" return best_poly, best_reg\n",
"\n",
"best_poly, best_reg = choose_best_model(valid_error)\n",
"print(\"best on validation data poly: \", best_poly, \" best reg: \", best_reg)\n",
"\n",
"# Calculate and print the optimal model parameters according to the training error\n",
"best_train_poly, best_train_reg = choose_best_model(train_error)\n",
"print(\"best on training data poly: \", best_train_poly, \" best reg: \", best_train_reg)\n",
"\n",
"# Calculate the model using the best parameters of the validation set.\n",
"estimated_weights = fit_linear_regression(*train_data, best_reg, best_poly)\n",
"\n",
"# Plot the performance of the best model against the ground truth function\n",
"plot_function(estimated_weights)\n",
"\n",
"# Calculate the error on the test data and compare against the validation data.\n",
"print(\"Validation error: \", calc_error(valid_data, estimated_weights))\n",
"print(\"Test error: \", calc_error(test_data, estimated_weights))\n"
],
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
},
{
"output_type": "stream",
"name": "stdout",
"text": [
"best on validation data poly: 2 best reg: 10000.0\n",
"best on training data poly: 3 best reg: 0.0001\n"
]
},
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
],
"image/png": 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desd+1a1SfrZEnZGv0SjeR44oBAQo62Ji9BJDeb+/ZUTlDoYPH46npycJCQns2rVL59iswrL6OxITCc7I0Ed4oi7y8oK9e8HXt2AEpXv3gj99fQvaC0c6qkunTp10nqenp+Pv70/Lli1xcHDAxsaG4ODgO46otGnTRvvf1tbW2NnZleu+eHBwMF26dNFp69q1q85ztVrN+++/T+vWrXF0dMTGxoY///zzjjEBrFq1io4dO+Ls7IyNjQ1r164t1+uEMGR/JCURnp1NPROTEpNos7OzuXLlip4iK0kSlTswNTVl9erVHD16lMGDB+sca2ltzWAnJwAW3zpfQIiq5OUFGzbotm3YUO1JChQkFcX5+/uzfft2PvzwQw4cOEBgYCCtW7cmNzf3tucxNTXVea5SqdBUUgXoJUuWsGLFCmbNmkVAQACBgYH07dv3jjF9//33+Pv7M3HiRP766y8CAwOZMGHCHV8nhKFbVTiJdkIpk2i/++47mjVrxssvv6yP0EqQ3ZPL4Yknnijz2OyGDdmRmMh38fHM9/bGy8KiGiMTdVZkJIwZo9s2ZkyVjqiYmZmhVqvv2O/QoUOMHz+ep556CigYYbl1cmtlatmyZYmJt0ePHi0R06BBgxg9ejQAGo2GS5cu0apVK22f0q7v0KFDdOvWjZdeeknbdvXq1cq+BCGq1dWsLHYVzv960cND55hGo+Gjjz5CURS8vb31EF1JMqJSQam3TJztYmdHLwcH8hWFZTKqIqpD8Ymzvr5w6NB/t4GKT7CtZN7e3hw7dozw8HASExPLHO1o2rQp27ZtIzAwkH///Zdnn3220kZGSjNlyhQuX77M66+/TkhICJs2bWL9+vUlYtq9ezeHDx8mODiYF154gfhbtsEo7fqaNm3KyZMn+fPPP7l06RLvvPMOJ06cqLJrEaI6rI6OBqCfoyNNbikT8McffxAcHIydnV2Jgqf6IolKOSmKwvTp03Fzc+P06dM6x2YXzlX5IjaWRBkSFlUpKko3Sdm7F7p1052z4udXdp2Ve+Dv74+xsTGtWrXC2dm5zHkaH330EfXq1aNbt24MHDiQvn370qFDh0qPp0jDhg3ZunUrO3bsoG3btnz++ed8+OGHOn3efvttOnToQN++ffHz88PNza3ErdzSru+FF15gyJAhjBgxgi5dupCUlKQzuiJETZOpVvN1XBwAU28ZTQFYtmwZAJMnT8bOzq5aYyuLSlFqdmnV1NRU7O3tSUlJqfK/1FGjRrFp0yZGjhzJpk2btO2KotDp1ClOp6fzbqNGzPPxqdI4RM2VnZ1NWFgYPj4+WNzNbcKiOioJCSVv8xSNtLi4wK5dYG9fWWGLGuCef7ZEnfB1bCwTQ0LwtrDgSpcuGKtU2mOnT5+mY8eOmJiYEBoaqi1BUFXK+/0tIyoV8PrrrwPw448/6txzV6lU2lGVT6KjSS9ndU4hKszeviAJ2bev5FwUL6+CdklShBClUBSFVYW3fV708NBJUgBtvZQRI0ZUeZJSEZKoVEC7du149NFHUavVJcrqD3F2pqmlJTfz87UbPAlRJeztwdOz9GOenrUuSZkyZQo2NjalPqZMmaLv8ISoMY6lpnI6PR1zlYrn3Nx0jqWnp7Nnzx7gv1/KDYXc+qmgv//+m0cffRQrKysiIiKoX7++9tiXMTFMunSJBmZmhD74IGZGkgcKXTI8X3EJCQklJrEXsbOz02tpb0MiP1viTsYEB/NdfDxjXV35pmXLEsfT09P5888/GTp0aLXEI7d+qkjv3r1p164dmZmZfPbZZzrHxri54W5mRnRuLhtvWVEghLg7Li4uNGnSpNSHJClClE9Cbi4/FhZQnNqgQal9bGxsqi1JqQhJVCpIpVLxxhtvALB27VqdugvmRka8WjgkvzgyEk3NHqwSQghRS3wZG0uuotDJ1pYHbhm9CA0NxZBvrkiicheGDx/O//73P44fP47xLRX9XvDwwN7YmIuZmfxSbMdlIYQQQh9yNRrtJNpXbhlNyczM5IEHHqBt27YGuzWEJCp3wcTEhLfeegv3UrbFtjMx4aXCH4SFEREGnaUKIYSo/bZcv05Mbi5uZmYl9vVZt24dSUlJZGRk4FFKXRVDIIlKJci4ZUPC6Z6emKtUHEtLY39Kip6iEkIIUdcpisLHhQUgX/LwwLzYIo/8/HxtgbeZM2diYmKYu+pIonIPLl++zGOPPUavXr10Rk5czcx4rnC0ZZGBDqUJIYSo/Y6kpnIyLQ1zlYoXbhkx2bp1K2FhYTg5OTF+/Hj9BFgOkqjcAwcHBw4ePMiJEycICAjQOebv5YUR8MeNG/ybnq6fAIUwIN7e3ixfvlz7XKVSsWPHjjL7h4eHo1KpCAwMvKv327t3LyqViuTk5Lt6vRC1wfLC0ZRRrq64mJlp2xVFYfHixQC8/PLLWN2y548hkUTlHjg7OzNx4kQAFi5cqHPM19JSey9wsYyqCFFCbGws/fv313cYOvz8/JgxY4a+wxCiUlzLzmbr9etAwZSE4nbv3s3p06exsrIy+P2rJFG5RzNnzsTY2Jjdu3dz6tQpnWNvFJYg/j4hgbCsLH2EJ2oxtbpgu5/Nmwv+LLZSvkZwc3PD3Nxc32EIUWutio5GAzzi4EAbGxudY1u2bAFg0qRJODk56SG68rvrRGX//v0MHDgQDw+PUodwx48fj0ql0nn069dPp8+NGzcYNWoUdnZ2ODg4MHHiRNJr2G0Sb29vRo4cCcCiRYt0jrW3taVvvXpogKWRkXqITtRW27aBtzf06gXPPlvwp7d3QXtVWLt2LR4eHmg0Gp32QYMG8dxzz3H16lUGDRqEq6srNjY2dO7cmb///vu257z1c+P48eO0b98eCwsLOnXqxJkzZyoU486dO2nWrBmWlpb06tVLZz8ugKSkJEaOHEmDBg2wsrKidevWbN68WXt8/Pjx7Nu3jxUrVmg/s8LDw1Gr1UycOBEfHx8sLS1p3rw5K1asqFBsQlS39GLbucwoZcuNNWvW8Pvvv+Pv71/doVXYXScqGRkZtG3bllWrVpXZp1+/fsTGxmofxT8UoGA34gsXLrB7925+++039u/fz+TJk+82JL0pKgC3ZcsWLl++rHNsVuFmhevi4riem1vtsYnaZ9s2GDYMCm89a0VHF7RXRbIyfPhwkpKSdOZi3bhxg127djFq1CjS09MZMGAAe/bs4cyZM/Tr14+BAweWuy5Deno6TzzxBK1ateLUqVPMmzevQh+gkZGRDBkyhIEDBxIYGMjzzz/P7NmzdfpkZ2fTsWNHfv/9d86fP8/kyZMZM2YMx48fB2DFihV07dqVSZMmaT+zvLy80Gg0eHp68tNPPxEUFMTcuXN58803+fHHH8sdnxDV7dv4eJLz82lsYcHjxbZ6KaJSqRgwYACeZe0bZkiUSgAo27dv12kbN26cMmjQoDJfExQUpADKiRMntG1//PGHolKplOjo6HK/d0pKigIoKSkpFQ27Uj3xxBMKoLz66qs67RqNRul88qRCQIDyTmionqIThiIrK0sJCgpSsrKy7ur1+fmK4umpKFD6Q6VSFC+vgn6VbdCgQcpzzz2nfb5mzRrFw8NDUavVpfa/7777lE8//VT7vFGjRsrHH3+sfV78c2PNmjVK/fr1df5eVq9erQDKmTNn7hjbnDlzlFatWum0zZo1SwGUmzdvlvm6xx9/XJk5c6b2ec+ePZXp06ff8f2mTp2qDB069I79qtO9/myJ2kOt0SjNjh5VCAhQPomM1DkWFxenpKWl6SkyXeX9/q7SOSp79+7FxcWF5s2b8+KLL5KUlKQ9duTIERwcHOjUqZO2rU+fPhgZGXHs2LEyz5mTk0NqaqrOwxDMnTuXL7/8kgULFui0q1Qq7VyVldHRpOfn6yM8UUscOFByJKU4RYHIyIJ+lW3UqFFs3bqVnJwcADZu3MgzzzyDkZER6enp+Pv707JlSxwcHLCxsSE4OLjcIyrBwcG0adNGZzO9rl27lju24OBgunTpotN26+vVajXvv/8+rVu3xtHRERsbG/78889yxbhq1So6duyIs7MzNjY2rF271mCreArxa1ISl7KysDc2ZvwtuyTPmjWLRo0a8dNPP+kpuoqrskSlX79+fPvtt+zZs4dFixaxb98++vfvr90bJy4ursSGYiYmJjg6OhIXF1fmeRcsWIC9vb324VWYBOhb586dmThxYqmTA59ydqaJpSU38/P56jbXJsSdFN5yrrR+FTFw4EAUReH3338nMjKSAwcOMGrUKAD8/f3Zvn07H374IQcOHCAwMJDWrVuTa0C3O5csWcKKFSuYNWsWAQEBBAYG0rdv3zvG+P333+Pv78/EiRP566+/CAwMZMKECQZ1bUIUV7TS9KUGDbAtVsQtIiKCjRs3cuPGDby9vfUUXcVVWRm6Z555RvvfrVu3pk2bNjRu3Ji9e/fSu3fvuz7vnDlzeO2117TPU1NTDSZZKZKfn09eXh6WlpYAGKtU+Ht5MeXSJT6KjOQlDw9MjWTBlai4UnZtuKd+FWFhYcGQIUPYuHEjV65coXnz5nTo0AGAQ4cOMX78eJ566imgYM7JrZNZb6dly5Zs2LCB7Oxs7ajK0aNHK/T6X375Raft1tcfOnSIQYMGMXr0aAA0Gg2XLl2iVatW2j5mZmY6G40Wva5bt246SzivXr1a7tiEqE6HUlI4nJqKmUpVYl+fZcuWkZ+fT+/evencubOeIqy4avu29PX1xcnJiStXrgAFSxMTCrecLpKfn8+NGzdwu2Woqjhzc3Ps7Ox0HoZk+/btNG/enKVLl+q0j3N1xdXUlIicHL6/5bqFKK8ePcDTE1Sq0o+rVODlVdCvKowaNYrff/+dr7/+WjuaAtC0aVO2bdtGYGAg//77L88++2yJFUK38+yzz6JSqZg0aRJBQUHs3LmzxL+h25kyZQqXL1/m9ddfJyQkhE2bNrF+/XqdPk2bNmX37t0cPnyY4OBgXnjhBeLj43X6eHt7c+zYMcLDw0lMTESj0dC0aVNOnjzJn3/+yaVLl3jnnXc4ceJEuWMTojoVjaaMdXPDrdgI//Xr1/niiy8ASkw0N3TVlqhERUWRlJSk3civa9euJCcn69Qe+eeff9BoNCXuNdckOTk5hIaGsnz5cp2l1hbGxtqCO4sjI2WzQnFXjI2haGXsrclK0fPlywv6VYVHHnkER0dHQkJCePbZZ7XtH330EfXq1aNbt24MHDiQvn37akdbysPGxoZff/2Vc+fO0b59e956660Sy/1vp2HDhmzdupUdO3bQtm1bPv/8cz788EOdPm+//TYdOnSgb9+++Pn54ebmxuDBg3X6+Pv7Y2xsTKtWrXB2diYiIoIXXniBIUOGMGLECLp06UJSUpLBF8gSdVNwRga/JCWhoqA6enErVqwgKyuLjh073tNdDb2429m6aWlpypkzZ5QzZ84ogPLRRx8pZ86cUa5du6akpaUp/v7+ypEjR5SwsDDl77//Vjp06KA0bdpUyc7O1p6jX79+Svv27ZVjx44pBw8eVJo2baqMHDmyQnEYyqqfIvn5+UqTJk0UQFm6dKnOsRu5uYrN/v0KAQHK74mJeopQ6FNlrczYurXk6h8vr4J2UTfJqh8xMThYISBAGXzunE57cnKyYm9vrwDKVgP6kCjv9/ddJyoBAQEKUOIxbtw4JTMzU3nssccUZ2dnxdTUVGnUqJEyadIkJS4uTuccSUlJysiRIxUbGxvFzs5OmTBhQoWXTRlaoqIoivLll18qgOLu7l7iQ2Pm5csKAQHKw6dP6yk6oU+V+WWSn68oAQGKsmlTwZ9VsSRZ1BySqNRt0dnZitnevQoBAcrh5GSdY1u3blVUKpXSqlWrMssJ6EN5v79VilKz70GkpqZib29PSkqKwcxXyc3NpXHjxkRFRbF69WqmTJmiPRaVnY3vsWPkKQpH2rfnQXt7PUYqqlt2djZhYWH4+PjoLMUVtzdlyhS+++67Uo+NHj2azz//vJojMjzys1W3zb56lUWRkTxkb8+B9u1LHA8JCSExMZHu3bvrIbrSlff7WxKVKvLJJ58wffp0vL29uXz5MibFlohNuHiR9XFxDHFyYuv99+sxSlHd5Mvk7iQkJJRZM8nOzq5EqYO6SH626q7U/Hy8jhwhVa3ml/vvZ6CB791TpLzf37JGtoo8//zzODs7Ex4ezl9//aVzrGiS0/bERC5nZuojPCFqFBcXF5o0aVLqQ5IUUdetiYkhVa2mpZWVTrn8nJycWrGUXhKVKmJlZcVnn33GgQMHGDBggM6x+6ytedzREQVYJpsVCiGEuEtZarX2e+R1Ly+Mii0H/Oabb2jWrBkzZ87UV3iVQhKVKjRs2DAeeuihUo+9UbhZ4fq4OOKlwqUQQoi78FVsLPF5eTQyN2e0q6u2PT8/n0WLFqHRaAyuKGpFSaJSTZKSknRqp/Swt6eLrS05isKnt9u8RQghhChFjkbDosLRlNkNG+pUPP/+++8JDQ3F2dmZSZMm6SvESiGJSjWYN28eDRs25Pfff9e2qVQq7ajKZzExslmhEEKICvk2Lo6onBw8zMx0Nh/UaDTagoevvvoq1tbW+gqxUkiiUg2ysrLIzMzk/fff1xlVGeTkRFPZrFAIIUQF5Ws0LCgsl/+6lxcWxcpRb926leDgYOzt7WtFFWVJVKrBzJkzsbS05Pjx4+zevVvbbqxSMbPw3uFHkZHkVWBvFCEEhIeHo1KpCAwM1HcoQlSrzQkJhGVn42xqymQPD227RqPh/fffB2DGjBnY14JaXZKoVAMXFxdeeOEFAObPn68zqjLW1RWXws0Kf7x+XV8hCnFHfn5+zJgxo9LON378+BJ77VQHfb2vEJVFrSh8WDiaMtPLC6tioylXrlwhMjISW1tbpk+frq8QK5UkKtXk9ddfx9zcnEOHDrF3715tu6WxMa8UbVYYESGbFYo7CkvM4Hx0SpmPsMQMfYcohKhC265f52JmJvVMTHix2GgKQLNmzQgPD+eXX36hXr16eoqwckmiUk08PDyYOHEigHZYrsiLHh5YGxlxNiOD3Tdv6iM8UUOEJWbQa+lenvj0YJmPXkv3VnqyMn78ePbt28eKFStQqVSoVCrCw8M5f/48/fv3x8bGBldXV8aMGUNiYqL2dVu2bKF169ZYWlpSv359+vTpQ0ZGBvPmzeObb77h559/1p6veAJfluPHj9O+fXssLCzo1KkTZ86c0TmuVquZOHEiPj4+WFpa0rx5c1YUbTcNt33fWbNm0axZM6ysrPD19eWdd94hLy+vUv7+hKgsGkXhg2vXAJju6YldsarnRezt7fHz86vmyKqOJCrVaNasWZiamnLo0CHCwsK07Y6mpkx0dwdgiRSAE7eRkVO+1WHl7VdeK1asoGvXrkyaNInY2FhiY2OxtbXlkUceoX379pw8eZJdu3YRHx/P008/DUBsbCwjR47kueeeIzg4mL179zJkyBAURcHf35+nn36afv36ac/XrVu328aQnp7OE088QatWrTh16hTz5s3D399fp49Go8HT05OffvqJoKAg5s6dy5tvvsmPP/4IcNv3tbW1Zf369QQFBbFixQq++OILPv7440r9exTiXm1PTOTfjAxsjY15uUEDbbuiKOzfv79WjsqXTMVElWnYsCHffvstDz30EJ6Ft3uKvOrpyaroaP6+eZMzaWm0t7XVU5RClGRvb4+ZmRlWVla4FS6D/N///kf79u21yyABvv76a7y8vLh06RLp6enk5+czZMgQGjVqBEDr1q21fS0tLcnJydGe7042bdqERqPhq6++wsLCgvvuu4+oqChefPFFbR9TU1Pee+897XMfHx+OHDnCjz/+yNNPP42NjU2Z7/v2229r/9vb2xt/f3++//573njjjQr8TQlRddSKwruFv+TO8PTE0dRUe+yvv/6iX79+9OzZk4CAAFTFKtTWdJKoVLNnnnmm1HZvS0uednFhc0ICSyIj2dSqVTVHJkTF/PvvvwQEBGBjY1Pi2NWrV3nsscfo3bs3rVu3pm/fvjz22GMMGzbsru+bBwcH06ZNG50N97p27Vqi36pVq/j666+JiIggKyuL3Nxc2rVrd8fz//DDD3zyySdcvXpVm2QZ0kanQvyYkMCFzEwcTEx4rdgvu4qiaBP0Dh061KokBeTWj15dunRJ5/nrhUuVf0xI4Fp2tj5CEqLc0tPTGThwIIGBgTqPy5cv8/DDD2NsbMzu3bv5448/aNWqFZ9++inNmzfXue1Z2b7//nv8/f2ZOHEif/31F4GBgUyYMIHcO2xTceTIEUaNGsWAAQP47bffOHPmDG+99dYdXydEdcnXaJgXHg7ATE9PHIqNpvzzzz8cOXIEc3NzXn/9dT1FWHUkUdEDjUbDkCFDaN68OUePHtW2t7e1pbeDA2rgY5mrIgyMmZkZarVa+7xDhw5cuHABb2/vEjsaF1XCVKlUdO/enffee48zZ85gZmbG9u3bSz3fnbRs2ZKzZ8+SXSyJL/7vB+DQoUN069aNl156ifbt29OkSZMSu8eW9r6HDx+mUaNGvPXWW3Tq1ImmTZtyrXDCohCGYGNCApeysqhvYsL0W0ZT5s2bB8DkyZNxL5zvWJtIoqIHRkZG2uHv4vfTAV4vLKv/ZWwsN2XFgTAg3t7eHDt2jPDwcBITE5k6dSo3btxg5MiRnDhxgqtXr/Lnn38yYcIE1Go1x44d48MPP+TkyZNERESwbds2rl+/TsuWLbXnO3v2LCEhISQmJt5xhc2zzz6LSqVi0qRJBAUFsXPnTpYuXarTp2nTppw8eZI///yTS5cu8c4773DixIkS13Hr+zZt2pSIiAi+//57rl69yieffKJNqITQtzyNhvmFoylvNGyIbbGVPnv27OHgwYOYm5sze/ZsPUVYtSRR0ZO33noLExMTdu3apfNb4WP16tHG2poMjYbVMTF6jFAIXf7+/hgbG9OqVSucnZ3Jzc3l0KFDqNVqHnvsMVq3bs2MGTNwcHDAyMgIOzs79u/fz4ABA2jWrBlvv/02y5Yto3///gBMmjSJ5s2b06lTJ5ydnTl06NBt39/GxoZff/2Vc+fO0b59e9566y0WLVqk0+eFF15gyJAhjBgxgi5dupCUlFSihHhp7/vkk0/y6quvMm3aNNq1a8fhw4d55513KvcvUIi7tD4ujtDsbFxNTZl6y0qfd999Fyj42fe4paZKbaFSavhaptTUVOzt7UlJSalxE9+ef/55vvrqK/r27cuuXbu07d/FxTHm4kVcTU0Jf/BBnT0cRM2WnZ1NWFgYPj4+OpNCy6uojsqdBPj74eNUszciExVzrz9bwjDlaDQ0PXaMyJwcljdponPbJzExkV69enHlyhVCQ0Nr3G2f8n5/S6KiR6GhoTRv3pz8/HwOHz6sXcGQp9HQuPAH84tmzXi+lmbJdVFlfJmEJWbctk6KtbmJJCl1kCQqtdOq6GimXb5MAzMzrnTpUuIXV41Gw9mzZ8u1ss3QlPf7W2796JGvry/jxo0DdOeqmBoZMaMwa14aGYmmZueSopL5OFlzfwP7Mh81NUn58MMPsbGxKfVRdLtIiLokPT9fOzflrUaNSh1dNzIyqpFJSkVIHRU9e/PNN/nmm284d+4ciYmJODk5ATDJ3Z354eGEZGXxW1ISTxa2Vzb57VwYiilTpmir2t7K0tKymqMRQv8+iooiIS+PJpaWPF/sto6iKHz33XcMHToUKysrPUZYPSRR0TNfX1927dpF9+7ddYZrbU1MmOLhwaLISJZERlZJoiLzHYQhcXR0xNHRUd9hCGEQEnJztVuqfODjg6nRfzdA/vzzT8aOHcu7775LSEgIpsVqqtRGcuvHAPTu3bvUe8qveHpiqlJxMCWFoykplf6++to3RgghxO3979o10tVqOtnaMszZWdtevG7KU089VeuTFJBExaCo1Wr++OMP7aZSHubmjHZ1BWSzQiGEqCuuZmXxeWF5ikW+vhgVK4m/c+dOjh07hqWlZZ3Zh0oSFQOhVqvp3LkzAwYM4J9//tG2+xeW1d+emMjlzEx9hSeEEKKavBMWRp6i0LdePR4ptjeWoija+j4vv/wyroW/yNZ2kqgYCGNjYx566CGgYBfXolGVVtbWPO7oiELBxCohhBC11+m0NDYnJACw0NdX59j27ds5c+YMtra2dWY0BSRRMShz5szBwsKCo0eP8scff2jbi8rqr4uNJUE2SRNCiFprdmgoAKNcXGhna6ttV6vVzJ07F4AZM2ZQv359vcSnD5KoGBB3d3emTZsGwNy5c7WjKg/b29PZ1pYcRWFldLQ+QxSi0u3YsYMmTZpgbGzMjBkz9BqLn5+f3mMQddefN26w++ZNTFUq3vfx0TmWmppKixYtqFevHq+99pqeItQPSVQMzBtvvIG1tTWnTp3i559/Bgp2oH29cK7KquhoMiqw46wQ1cnb25vly5dX6DUvvPACw4YNIzIykvfff79qArvF3r17UalUJCcn67Rv27at2mIQorh8jYbXrlwBYFqDBvjcUjuoXr16bNmyhUuXLuHg4KCHCPVHEhUD4+zszPTp04GCURWNRgPAEGdnfC0suJGfz7rY2Ep5L2vz8pXRKW8/ISoqPT2dhIQE+vbti4eHB7bFhrr1wdHRUe8xiLrpi9hYgjIzqW9iwjuNGpXZz6mKin8aNKWGS0lJUQAlJSVF36FUmqSkJMXOzk7p3r27kpCQoG1fFRWlEBCg+Bw5ouSp1ZXyXqHX05VzUcllPkKvp1fK+4gCWVlZSlBQkJKVlaXvUO5Kamqq8uyzzypWVlaKm5ub8tFHHyk9e/ZUpk+frvTs2VMBdB63ExAQUKJ/QECA8u677ypt27bV6fvxxx8rjRo10j4fN26cMmjQIGXJkiWKm5ub4ujoqLz00ktKbm6utk92drbyxhtvKJ6enoqZmZnSuHFj5csvv1TCwsJKvO+4ceMURVG011Lkxo0bypgxYxQHBwfF0tJS6devn3Lp0iXt8XXr1in29vbKrl27lBYtWijW1tZK3759lZiYmLv+O75bNf1nqy67mZurOB08qBAQoHwaGalzLCcnR/H391fCw8P1FF3VKe/3t/yqbIAcHR05c+YMPj4+qIqtnx/v5sa74eGEZWezNTGRES4u9/xeUnFW/xRFIbNw5Ky6WRkZ6fyM3clrr73GoUOH+OWXX3B1dWXu3LmcPn2adu3asW3bNtq2bcvkyZOZNGnSHc/VrVs3QkJCaN68OVu3bqVbt244Ojqyd+/ecsUSEBCAu7s7AQEBXLlyhREjRtCuXTvte48dO5YjR47wySef0LZtW8LCwkhMTMTLy4utW7cydOhQQkJCsLOzK7NE//jx47l8+TK//PILdnZ2zJo1iwEDBhAUFKQttJWZmcnSpUvZsGEDRkZGjB49Gn9/fzZu3Fi+v1RR530QEUFiXh4trKx44ZZNaL/66iuWLl3KTz/9xNWrVzEuZb+f2k4SFQPle8uyNAArY2OmNWjAvPBwlkRE8LSzc4W+ZIRhytRosDlwQC/vnd6jB9bl/OBLS0vjm2++YdOmTfTu3RuAdevW4VH4wero6IixsTG2tra4ubnd8XxmZma4FCbbjo6O5XpNcfXq1WPlypUYGxvTokULHn/8cfbs2cOkSZO4dOkSP/74I7t376ZPnz6A7r+polL9Li4uZd7vL0pQDh06RLdu3QDYuHEjXl5e7Nixg+HDhwOQl5fH559/TuPGjQGYNm0a8+fPr9C1iLrralYWKwpLTyxr3FinVH5mZqZ2zpS/v3+dTFJA5qgYvJs3b/LBBx+QnZ0NwFQPDyyNjDiVnk7ALRMBhahKoaGh5OXl8cADD2jb7O3tad68uV7iue+++3Q+uN3d3UkorD8RGBiIsbExPXv2vOvzBwcHY2JiQpcuXbRt9evXp3nz5gQHB2vbrKystEnKrXEIcSdvXL1KnqLwWL169L9lr6uVK1cSGxtLo0aNyjVKWVvJiIoBUxSFnj17cu7cOaytrZkxYwZOZmY85+bGqpgYlkRG6lQtFDWTlZER6T166O29DY2RkZF2aX6RvLy8Ev1u3eNEpVJpJ59X527LpcVxa/xClGZ/cjLbEhMxomA0pfgIeXJyMgsXLgTgvffew9zcXE9R6p/hfUoJLZVKxSuvvALAhx9+SFpaGgCveXlhBOy6cYOz6el6jFBUBpVKhbWxsV4eFbl16Ovri6mpKSdOnNC2paSkcOnSJe1zMzMz1Pe4fN7Z2Zm4uDidL/vAwMAKnaN169ZoNBr27dtX6nEzMzOA28basmVL8vPzOXbsmLYtKSmJkJAQWrVqVaF4hLiVWlGYUbgcebKHB/fb2OgcX7p0KTdv3qRVq1aMHj1aHyEaDElUDNy4ceNo2rQp169fZ8WKFQD4WloytHA3zaWyWaGoJra2towbN47XX3+dgIAALly4wMSJEzEqNiHX29ub/fv3Ex0dTWJi4l29j5+fH9evX2fx4sVcvXqVVatW6VRqLg9vb2/GjRvHc889x44dOwgLC2Pv3r38+OOPADRq1AiVSsVvv/3G9evXSS8l4W/atCmDBg1i0qRJHDx4kH///ZfRo0fToEEDBg0adFfXJkSRL2JiOJOejoOJCfO9vXWOxcfHa+sR/e9//6uzc1OKSKJi4ExNTbUT85YsWUJSUhKAtgDc5oQEIgvnr9wqLDGD89EpZT7CEjOq5yJErfHRRx/RtWtXnnjiCfr06UP37t1p2bIlFhYWAMyfP5/w8HAaN26Mc7Gt6SuiZcuWfPbZZ6xatYq2bdty/Phx/P39K3ye1atXM2zYMF566SVatGjBpEmTyMgo+Jlv0KAB7733HrNnz8bV1VVbEfpW69ato2PHjjzxxBN07doVRVHYuXNnids9QlREUl4eb4WFAfC+tzfOhSN8RSwtLZkxYwZ+fn4MHjxYDxEaFpVSw2+mpqamYm9vT0pKCnZ2dvoOp0poNBo6dOjAv//+y+uvv87ixYsB6BUYyN7kZF719OSjJk10XhOWmEGvpXvveO4Afz9ZolyNsrOzCQsLw8fHR/vlXpNlZGTQoEEDli1bxsSJE/UdTp1W2362arMXL13i85gYWltbc7pjR0zKmCumKEqtXtlZ3u9vGVGpAYyMjPjggw8A+PTTT4ku3O/njcJRlbUxMdy8ZbJhRk5+uc5d3n5CAJw5c4bNmzdz9epVTp8+zahRowDkVogQ5XQ6LY01MTEArGzatMwkBajVSUpFSKJSQwwYMAA/Pz9GjRqlvV/Zz9GRNtbWZGg0fFb4gy9EVVu6dClt27alT58+ZGRkcODAgTLLevfv3x8bG5tSHx9++GE1Ry6EfmkUhWmXL6MAI11cePiWGj5BQUE8/PDDZU4Cr6tkeXINoVKp2L17NyYmJjptbzRsyOjgYD6JiuI1T08s6/ikK1G12rdvz6lTp8rd/8svvyQrK6vUY4631IwQorb7Lj6eI6mpWBsZsaRY7Z0ib775JgcOHGD58uX3VAOotpFEpQYpnqQUedrZmTdDQ4nIyeGbuDimNGigh8iEKF0D+XkUAoDU/HzeuHoVgHe8vWlwS12UQ4cO8fPPP2NkZMSCBQv0EaLBkls/NVBwcDBDhgzhyJEjmBoZMbNwrsrSyEjUNXtudJ1Rw+ewCwMkP1OG7Z2wMOLz8mhqackMT0+dY4qiMGvWLAAmTpxIixYt9BGiwZIRlRpo2bJlbN++ncTERPbt28dEd3feCw/nanY2265fZ3glbFYoqkbxjeyqs3qqqP1yc3MB6nzNDUN0Oi2NlYWLIFY1bYr5LRNoi/aUsrC0ZMTkVzkfnVLqeazNTerkKk1JVGqgd999l40bN3LgwAF27tzJ448/zrQGDZh/7RqLIiIYdpf1K0TVMzY2xsHBQbsXjJWVlczsF/dMo9Fw/fp1rKysSr1FLPRHrSi8eOkSGmCEszOP3jI3Kz8/nzlz5gBg1vYJJm4JBULLPF9dLCkhP9E1kJeXFy+//DJLlixhzpw59OvXj2kNGrAkMlK7WaGPudmdT0RBhi6qV9EuwbJxnahMRkZGNGzYUBJfA/NFTAzH09KwNTYuUe8KYOvWrQQHB2PvUA+7LkPveL66WFJCCr7VUDdu3KBx48YkJyezfv16xo0bx7RLl1gVE8Nj9erxZ9u2hCVm3PaHuq4OIxoKtVpd6mZ7QtwNMzMzjAxwk8m6LD43lxbHj5Ocn8+KJk145Za5KVDwObBp0yauJabxZXyjO57zt5cf4v4G9lURbrUr7/e3JCo12OLFi5k1axaenp5cunSJOKDpsWOogdMdO9Le1lbfIQohRJ01NjiYDfHxtLex4XiHDrct7nY+OoUnPj14x3PWxURF0u8a7OWXX6Zhw4ZERUWxZs0afCwtGVE4kXZhRISeoxNCiLpr782bbIiPRwV83qxZiSQlNTVVu/eUuD1JVGowS0tLli1bxqJFi5gyZQoAsxs2BGDL9etczszUZ3hCCFEn5Wg0vHj5MgAveHjwQCmjBe+88w7NmjXj119/re7wahyZSVnDDRs2TOd5axsbHnd05PcbN1gSGcna5s31FJkQQtRNiyIiuJiZiYupKR/6+JQ4fvnyZT777DPy8/OxsrLSQ4Q1i4yo1CJqtZqbN28yp1HBhKxv4uKIycnRc1RCCFF3hGRm8sG1awCsaNKEeoW1k4qbM2cO+fn59O/fn969e1d3iDWOJCq1xLFjx2jXrh2TJk2iu709D9nbk6sofBwVpe/QhBCiTlAUhRdCQshVFPo7OmrnDBZ36NAhtm7dipGREYsXL9a2l7dURF0sKVH3rriWsra2JigoiPPnz3P48GHmNG/O4+fO8XlMDG82bFhqVi+EEKLyrIuLY19KClZGRnzWtGmJmjaKouDv7w/Ac889x/3336895uNkTYC/n5SUKIUkKrXE/fffz3PPPceXX36Jv78/Bw8epI21NWczMlgZHc073t76DlEIIWqthNxc/As3HZzv44N3KVtkbNmyhaNHj2JlZcX8+fNLHK+LSUh5yK2fWmT+/PlYWVlx5MgRtmzZol0BtCIqigy1Ws/RCSFE7fXqlSvczM+nvY0N08vYNfzo0aMAvPHGG7i7u1dneDWaJCq1iLu7u3YHzlmzZjHQzg5fCwuS8vP5MjZWz9EJIUTttCspiU0JCRgBa0upmVJk2bJlHD58mJkzZ1ZvgDWcJCq1jL+/Pw0aNCA8PJyVK1bwRuGoytLISHI0Gj1HJ4QQtUt6fj4vXLoEwCuennS6Q4X0rl27YmNjUx2h1RqSqNQyVlZWLFiwAICDBw8yztUVDzMzonJy+DYuTs/RCSFE7fJ2WBgROTl4W1jwv1JqpgB88803REi18LsmiUotNGrUKHbt2sWvv/6KhbExr3t5AQVl9fNlVEUIISrF0ZQUPomOBmBNs2ZYGxuX6BMUFMTEiRNp3ry5JCt3SRKVWsjIyIi+fftql8ZN8vDA2dSU0Oxsvk9I0HN0QghR8+VqNDwfEoICjHV15TFHx1L7zZw5E7VaTb9+/WhYeCteVIwkKrVccnIyG774ghmF24t/GBGBpmZvmC2EEHq3MCKCC5mZOJua8lGTJqX2+eOPP9i1axempqYsWbKkmiOsPe46Udm/fz8DBw7Ew8MDlUrFjh07dI4risLcuXNxd3fH0tKSPn36cLlwk6YiN27cYNSoUdjZ2eHg4MDEiRNJT0+/25DELbKzs7nvvvt48cUXaXr+PA4mJgRnZrI9MVHfoQkhRI0VlJHB/wrL5H/SpAn1SymomZeXp13d8/LLL9OkjGRG3NldJyoZGRm0bduWVatWlXp88eLFfPLJJ3z++eccO3YMa2tr+vbtS3Z2trbPqFGjuHDhArt37+a3335j//79TJ48+W5DErewsLBg1KhRALz92mu85OYGwP+uXUORURUhhKgwjaIwKSSEPEXh8TLK5AOsXbuW4OBg6tevzzvvvFPNUdYySiUAlO3bt2ufazQaxc3NTVmyZIm2LTk5WTE3N1c2b96sKIqiBAUFKYBy4sQJbZ8//vhDUalUSnR0dLnfOyUlRQGUlJSUe7+QWiglJUVxcXFRAOW9jz9WrPftUwgIUH5LTNR3aEIIUeN8GhmpEBCg2Ozfr0RkZZXaJykpSXF0dFQAZdWqVdUcYc1R3u/vKpmjEhYWRlxcHH369NG22dvb06VLF44cOQLAkSNHcHBwoFOnTto+ffr0wcjIiGPHjlVFWHWSnZ2ddrnysnffZayDAyCjKkIIUVHXsrOZHRoKwGJfX7wsLErtZ25uzosvvkinTp3kLkElqJJEJa6wXoerq6tOu6urq/ZYXFwcLrcMmZmYmODo6KjtU5qcnBxSU1N1HuL2xo8fT8eOHUlNTSXliy+wMDLiaGoqe27e1HdoQghRIyiFOyNnaDT0sLfnBQ+PMvtaW1vzv//9j6NHj2JiIlvq3asat+pnwYIF2Nvbax9ehTVCRNmMjIz45JNPANi8ahWDC9f6zwsPl1EVIYQohw3x8fx58ybmKhVfNm+O0S07I0NBMqMpVqvKuJS6KqLiqiRRcSuctBkfH6/THh8frz3m5uZGwi01PfLz87lx44a2T2nmzJlDSkqK9hEZGVnJ0ddO3bp1Y/To0UyYMIFZDRtirlJxKDWVf5KT9R2aEEIYtPjcXGZcuQLAez4+NLOyKrXf9u3befDBB7WbD4rKUSWJio+PD25ubuzZs0fblpqayrFjx+jatStQsN9BcnIyp06d0vb5559/0Gg0dOnSpcxzm5ubY2dnp/MQ5bN+/Xq++uor2nl5aYctZVRFCCFu7+XLl7U7I88srEl1q6ysLGbOnMmJEyfYuXNnNUdYu911opKenk5gYCCBgYFAwQTawMBAIiIiUKlUzJgxg//973/88ssvnDt3jrFjx+Lh4cHgwYMBaNmyJf369WPSpEkcP36cQ4cOMW3aNJ555hk8bnPvT9y94sOQRaMqB1NSZFRFCCHKsOP6dX66fh1j4KvmzW+7M3J4eDienp7aXexF5bjrROXkyZO0b9+e9u3bA/Daa6/Rvn175s6dC8Abb7zByy+/zOTJk+ncuTPp6ens2rULi2KzpDdu3EiLFi3o3bs3AwYM4KGHHmLt2rX3eEniTkJDQ3lh2DBaFxYsek9GVYQQooSbeXm8WFio9PWGDWlva1tqv6ioKO3qyiVLlmBtbV1tMdYFKqWGf0OlpqZib29PSkqK3AYqp59//pnBgwdj6u6OatMmcoE9bdvySL16+g5NCCEMxsSLF/k6Lo7mlpYEduqERRmTY0eMGMGPP/7IQw89xP79+7X7rInbK+/3d41b9SPu3ZNPPkm/fv3Ii43F7eRJQOaqCCFEcX/fuMHXcXGogK9atCgzSdmzZw8//vgjRkZGrFy5UpKUKiCJSh2kUqlYsWIFpqamRCxahImicCAlhb0yV0UIIchQq5l06RIAUxs0oLu9fZl9v/nmGwBeeukl2rZtWy3x1TWSqNRRzZo1w9/fHxITsSxcnfVOWJiMqggh6ry3QkMJz86mobk5C3x8btt3/fr1fP3117z//vvVFF3dI3NU6rCMjAxatGhBVFYWJj/8QL6xMTtbt6Z//fr6Dk0IIfTiSEoK3c+cQQF2tWlDX0dHfYdUa8kcFXFH1tbWLFu2DJKSsAsIAOBtGVURQtRRORoNE0NCUIBxrq63TVI2b95MRkZG9QVXh0miUscNHz6cdevW8e+sWdgYG3M6PZ1tiYmV+yYpKRAVVfqxqKiC40IIoWcfXLtGcGYmrqamfNSkSZn9AgICePbZZ7n//vslWakGkqjUcSqVivHjx+Npa8trhRUX3wkLQ11ZoyopKdCvH/TsCbdudxAZWdDer58kK0IIvTqbns6CiAgAVjZtiqOpaan9cnNzmTZtGgADBgyQminVQBIVofWKuztWajXBmZlsvGWfpruWlgYJCRAaCn5+/yUrkZEFz0NDC46npVXO+wkhRAXlF97yyVcUnnJyYqizc5l9P/74Y4KCgnBycpIJtNVEEhWh9fzIkWR++SVQUFclt9guoHfN0xP27gVf3/+SlcOH/0tSfH0Ljpexf4YQQlS1FdHRnExLw97YmJVNm5ZZCyU8PJz33nsPgKVLl+IoE22rhSQqQmvChAmwYwfcuEFYdjZfx8ZWzom9vHSTle7ddZMUL6/KeR8hhKigq1lZvBMWBsCyJk3wMDcvs+8rr7xCVlYWDz/8MGPHjq2uEOs8SVSE1pNPPsnARx+F774D4P1r18hSqyvn5F5esGGDbtuGDZKkCCH0RlEUJoWEkKXR8IiDA8+5uZXZ9+eff+bXX3/FxMSEzz77TCrQViNJVISOTz75BIu//4a4OGJyc/kkOrpyThwZCWPG6LaNGVNygq0QQlSTr2JjCUhOxtLIiLXNm982+ejYsSPDhg3D39+f++67rxqjFJKoCB3e3t68++ab8PXXAHwQHk5ibu69nbT4xFlfXzh0SHfOiiQrQohqFpuTg//VqwC87+NDY0vL2/b39PTkp59+4oMPPqiO8EQxkqiIEl577TVaxsTAlSukaTR8ULhk765ERZWcONutW8kJtmXVWRFCiCrw8uXLpKjVdLK1ZXqDBmX2y8rK0nluZCRfm9VN/sZFCWZmZqxZvZpWBw4AsCo6mtBb/rGWm60tuLiUnDhbfIKti0tBPyGEqAbbr19na2IixsCXzZtjUkbyodFo6NOnD88++yzxlVWyQVSY7PUjyqQoCn3PnmX3zZs84+LC5lat7u5EKSkFdVJKW4IcFVWQpNxmd1IhhKgsyXl5tDpxgtjcXOY0bMiHvr5l9l29ejUvvfQSNjY2BAUF4SWT/yuV7PUj7plKpWKRry8q4PuEBE6kpt7diezty66T4ukpSYoQotrMDg0lNjeXZpaWzG3UqMx+MTExzJ49G4APP/xQkhQ9kkRF3FZrS0taFs4fmXb+vGxYKISosfYnJ7OmsD7U2ubNsTA2LrPvK6+8QmpqKg888AAvvfRSdYUoSiGJirgtY2NjnH/9FXJzOZ6by86kJH2HJISoQ9TqgulsmzcX/Hm3pZ2y1WomhYQAMNndnZ4ODmX2/fnnn9m6dSsmJiZ88cUXGN8moRFVTxIVcVsqlYp1Cxdi8ssvAEw6fZq8yiitL4QQd7BtG3h7Q69e8OyzBX96exe0V9QHERFcysrC3cyMRbeZl5KamsrUqVMB8Pf3p02bNncXvKg0kqiIO/Lx8eEdX19ITibWzIxFFy/qOyQhRC23bRsMG1ayckF0dEF7RZKV8+npLCy2M7JDGTsjA4SGhgLg6+vL3LlzKxy3qHyy6keUS35+Pr7TpxM5fDim2dnEPPIITmZm+g5LCFELqdUFIydllVdSqQrm4YeFwZ3uymgUhe5nznA0NZVB9euz/f7771j+PjU1lcjISKlAW8Vk1Y+oVCYmJmx//nm4coU8CwtG/fOPvkMSQtRSBw7cvgakohQUtC4s9XRbq2NiOJqaiu0ddkYuzs7OTpIUAyKJiii3ju3bM/rmTQB2m5vzb3q6niMSQtRG5d24/U79orKzmVN4K2eBry+eFhZl9l20aBFff/21rGw0QCb6DkDULF+8/DLJ587xW0YGM65c4Z+2bcu9i2hYYgYZOfllHrc2N8HHybqyQhVC1FDu7pXT7+UrV0hTq3nQzo4pHh5l9gsMDOTtt98uuMXt64ufn1/5gxVVThIVUSEWFhasbN2av48fZ29yMtsSExnq7HzH14UlZtBr6d479gvw95NkRYg6rkePgjko0dEFt3luVTRHpUePss+x7fp1diQmYqJS8UWzZhiX8QtVfn4+EydOJD8/n6FDh0qSYoDk1o+osEYWFrxRWKVx9KFDJKal3fE1txtJuZt+Qojay9gYVqwo+O9b84ui58uXlz2RNiU/n2mXLwMwy8uL+21synyvZcuWcfr0aerVq8fKlSvvMXJRFSRREXdlhqsrxklJZDs48PjGjfoORwhRywwZAlu2wK0bG3t6FrQPGVL2a98qLJPfxNKSt25TJj8kJIR3330XgI8//hg3N7fKCF1UMklUxF2pZ2XFnMLlZMcbN2bDvn16jkgIUdsMGQLh4RAQAJs2FfwZFnb7JOVoSgqfxcQA8HmzZliWMeyiVqt57rnnyMnJoW/fvowdO7YKrkBUBklUxF2b36cPXlFRYGrK5OBg0mUVkBCikhkbg58fjBxZ8Oft6qbkaTRMvnQJBRjr6krvevXK7Hvw4EGOHDmCra0ta9asKfeiAFH9JFERd02lUvHrY4+hyskhu0ULhqxere+QhBB12EdRUZzLyKC+iQnLGje+bd+ePXty8OBBvv76axrd5vaQ0D9JVMQ9aeviwvjCX3F2N2nCr3v36jcgIUSdFJqVxXvh4QAsa9KkXJWzu3XrxrBhw6o4MnGvJFER9+zzRx7BITkZ6tXjzcIPCiGEqC6KovDipUtkaTQ84uDAWFfXMvtu3ryZkMJdlEXNIImKuGdmRkZsfuABAM57e3M4JaVEH2vz8pXsKW8/IYQo8n1CAn/dvIm5SsXnzZqVOd8kKCiI8ePH065dO4KCgqo5SnG35FtBVIp+Hh48l5rK13FxTA4J4VSnTpgb/ZcH+zhZE+DvJ5VphRCV6mZeHjOuXAHgrUaNaGplVWq//Px8xo8fT25uLgMGDKBly5bVGaa4B5KoiEqzuHFjfk1K4kJmJt1Wr2bPqFE4ODhoj0sSIoSobLNDQ0nIy6OllRVvNGxYZr8FCxZw4sQJ7O3tWbt2razyqUHk1o+oNPVNTVndrBkAp1u0YPT8+XqOSAhRmx1OSWFt4c6EnzdrpjOKW9ypU6eYX/h5tHLlShrcWkVOGDRJVESlGurszCNGRmBszO/3388P27bpOyQhRC2Up9HwwqVLADzn5sbDxUZvi8vKymL06NHk5+czfPhwRo0aVY1RisogiYqodN8/+CBWubng68uEf/4hPj5e3yEJIWqZZZGRnM/IwMnUlMW3qZny2WefcfHiRdzd3Vm9erXc8qmBZI6KqHTOZmZ8df/9jLx0iaynnmL4W2+x74sv5ANCCFEpQrOyeO/aNQA+atyY+qamZfadPn06GRkZdO7cmfr161dXiKISqRSltE20a47U1FTs7e1JSUnBrnDvGWEY+h4+zF+5uXD1KqsVhSnPP6/vkIQQNZyiKPQ/e5Y/b97kEQcH/m7bVn4JqqHK+/0tt35EldnQqRPWeXnQuDHvhIaiVqv1HZIQoob78fp1/rx5EzOVitW3qZmyceNGcnJyqjk6URUkURFVxsXMjHVt2gCQ9Nhj7EtN1XNEQoiaLDkvj+mXLwMFNVOalVEzZePGjYwePZqHHnqIvLy86gxRVAFJVESVGu7qyvPu7ijAmOBgkuRDQwhxl+aEhRGfl0dzS0tmlVEzJSwsjBdffBGAgQMHYnqb+SuiZpBERVS55U2a0MzSkpjcXPrs2sX+/fv1HZIQooY5kpLCmpgYoOyaKfn5+YwaNYq0tDS6d+/Om2++Wd1hiiogiYqoctbGxmxu1QpjjYZAW1ue+uorkpOT9R2WEKKGKKqZogDjXF3xq1ev1H4ffPABR44cwc7Oju+++w4TE1nYWhtIoiKqRQdbW+YXDtXeGDmSZ+fMoYYvOBNCVJPlUVGcy8igvokJS8uomXL48GFt9dnVq1fj7e1djRGKqiTLk0W10SgKXQ8c4LhGA1eu8LmJCS+MH1/u14clZsimhkLUMeFZWbQ6cYIsjYavmzdngrt7iT6KotChQwcCAwMZPXo0GzZs0EOkoqLK+/0t42Ki2hipVOzo0oWm+/eT0aQJU3fvpkdQEK1atbrja8MSM+i1dO8d+wX4+0myIkQtoSgKUy9fJkuj4WF7e8a7uZXaT6VSsW3bNt58801WrVpVzVGKqia3fkS1cjc3Z0eHDqDRoH70UR775BOysrLu+LrbjaTcTT8hhOH76fp1dt64galKxZrb1EwB8PHxYfPmzTKyXgtJoiKqXZ/69XnL1RWA6CFDWCurgIQQt0jOy2P6lSsAzGnYkBbWJUdKz58/z65du6o7NFHNJFERevF+q1Z0VxQwM2OZnR2Jubn6DkkIYUDeDAsjLjeXZpaWzCmlZkpmZiYjRoygf//+rF+/vvoDFNVGEhWhFyqVit979KCppSWROTk8GxyMumbP6xZCVJIjKSl8XlgzZU2zZlgYG5fo88orrxAUFIS7uzsDBgyo7hBFNZJEReiNvYkJW++7D0sjI3bfvEm7lSvJlZEVIeq0PI2GyYU1U8a7uZVaM2Xz5s189dVXqFQqvvvuO1xcXKo/UFFtJFERetXaxoY1hXURzrduzRMrV+o5IiGEPn0UFcX5jAycTE1LrZkSEhLC5MmTAXj77bd55JFHqjtEUc0kURF6N6ZBA54u3OV0d+vWvP/LL3qOSAihD1ezspgXHg7AssaNqX/LPj2ZmZkMGzaM9PR0/Pz8mDt3rh6iFNVNEhVhEDY/9hjNYmLA1JR3gX9CQnSOW5uXr+RPefsJIQyLoii8EBJCtkZDbwcHxhSuDCzup59+4vz587i5ubF582YpkV9HyP9lYRCMVCqODxmC55YtpHt6MiAwkPAGDXCzsQHAx8maAH8/qUwrRC31bXw8e5KTsTAy4vMyaqaMGzcOIyMjGjZsiFsZxd9E7SMl9IVBORUezgMnT6JxcqJBXByhTz+NWSm7pAohao/rubm0OH6cG/n5LPT1ZVYpy5FF7VPe72/5BhAGpaO3Nyvt7SEri2g3N8YFBaGp2bm0EOIOXr1yhRv5+bS1tuY1T0+dYykpKTz//PNcv35dT9EJfZNERRicFx99lP+ZmGCiUvF9YiL+V6/KTstC1FJ/3rjBxoQEjIAvmjfHtNgIqkajYcyYMXz11Vc89dRT8jlQR0miIgzSW48+yrrmzQH4OCqKhYUrAYQQtUeGWs2US5cAeMXTk863DP9/8MEH/Prrr5ibm7NixYrb7vUjai9JVITBGu3mxiJvbwDevHaNrwsrVQohaod3wsIIz86mobk57xf+Wy+yc+dO3n33XQA+//xzOnbsqIcIhSGQREUYtCezszH56ScAnr94kV8SE/UckRCiMhxNSWF5VBQAq5s1w6bYUuMrV64watQoFEXhxRdfZPz48XqKUhiCKk1U5s2bh0ql0nm0aNFCezw7O5upU6dSv359bGxsGDp0KPHx8VUZkqhhWrRowfru3eGPP1CMjBh67hy7kpL0HZYQ4h7kaDRMDAlBAUa7ujKgfn3tsYyMDIYMGUJycjJdu3Zl+fLleotTGIYqH1G57777iI2N1T4OHjyoPfbqq6/y66+/8tNPP7Fv3z5iYmIYMmRIVYckaphRzz7LtJwc2LuXfJWKQefOsefmTX2HJYS4Sx9cu0ZQZiYupqYsb9JE51h8fDxZWVm4urqyZcsWzMzM9BSlMBRVXvDNxMSk1MI8KSkpfPXVV2zatEm7V8O6deto2bIlR48e5cEHH6zq0EQN8tGSJZzt14/9JibkPvQQA8+e5Y+2benp4KDv0IQQFXA2PZ0FEREArGzatESZfF9fX06cOMG1a9fw8PDQR4jCwFT5iMrly5fx8PDA19eXUaNGEVH4A3rq1Cny8vLo06ePtm+LFi1o2LAhR44cqeqwRA1jamrK1h9+oNE338DRo2QpCo+fPcuhlBR9hyaEKKd8jYbnLl4kX1F4ysmJYc7O2mMpxf4tOzg40LZtW32EKAxQlSYqXbp0Yf369ezatYvVq1cTFhZGjx49SEtLIy4uDjMzMxxu+Y3Y1dWVuLi4Ms+Zk5NDamqqzkPUDU5OTvyydSuun31G27w8MjQa+kuyIkSN8VFUFKfS03EwMWFV06ba5cYXLlzAx8eHzz77TGqliBKqNFHp378/w4cPp02bNvTt25edO3eSnJzMjz/+eNfnXLBgAfb29tqHl5dXJUYsDF2bNm0ICwnh8COP0MvBgTS1mr7//stembMihEG7mJHBu4X1kD5q3Bh3c3MAkpKSePLJJ7l58yY//fQTGo1Gj1EKQ1Sty5MdHBxo1qwZV65cwc3NjdzcXJKTk3X6xMfH33azqTlz5pCSkqJ9REZGVnHUwtBYWlpiZWzMb61b08PComBk5dw5/rxxQ9+hCSFKka/RMO7iRbI1GvrWq8f4ws/4vLw8nn76aUJDQ/Hx8eGnn37C2NhYz9EKQ1OtiUp6ejpXr17F3d2djh07Ympqyp49e7THQ0JCiIiIoGvXrmWew9zcHDs7O52HqJ3CEjM4H51S5mP/4VMEDx2K2cmTZGs0PHnunNRZEcIALY2M5HhaGvbGxnzZvDkqlQpFUZg+fTr//PMP1tbW/Pzzzzg5Oek7VGGAqnTVj7+/PwMHDqRRo0bExMTw7rvvYmxszMiRI7G3t2fixIm89tprODo6Ymdnx8svv0zXrl1lxY8gLDGDXkv33raPJjcbNycXEufMwXbxYtLat2fohQtsbNmSp11cqidQIcRtnU9P197yWdG0KZ4WFgB88sknrF69GpVKxcaNG2ndurUeoxSGrEpHVKKiohg5ciTNmzfn6aefpn79+hw9ehTnwpneH3/8MU888QRDhw7l4Ycfxs3NjW3btlVlSKKGyMjJv2MfIzMLln+1CQ8XF9L8/XG7cIF8ReGZoCDWSrl9IfQur/CWT66i8ET9+ox1dQUgMDCQV199FYDFixczaNAgfYYpDJxKqeFTrFNTU7G3tyclJUVuA9Ui56NTeOLTg3fs99vLD5Ebf5UePXqQmZ1Nq7VrCWrcGIAPfXyY3bChbGQmhJ7MDw/n3fBw6pmYcKFzZ+0EWkVRWLp0KVevXtWOqoi6p7zf37LXj6jxOnTowMaNG1EpCkHPP8+jhdswvBkWhv/Vq2hqdi4uRI0UmJbG+9euAbCqaVNtkgKgUql4/fXXJUkR5SKJiqgVBg8ezKJFiwBIW76cJT4+QEHdhokhIeTLkkchqk2WWs2o4GDyFYUhTk484+JCeno6r732mk7tK0lSRHlUeQl9IaqLv78/dnZ2jB49Gmtra5zNzZl48SLr4+K4npvLD/fdh7UsfRSiys0KDSUoMxNXU1M+b9aM/Px8hg8fzq5duzh37hy7d+/Wd4iiBpERFVFrqFQqXnjhBaytrQEY5+bGpiZNsDAy4vcbN+gdGEhibq6eoxSidtuVlMSn0dEArGvRAidTU1544QV27dqFlZUVH3zwgZ4jFDWNJCqiVlIUhXnz5jGnZ0+2NGyIo4kJx9LS6H7mDGFZWfoOT4ha6XpuLhNCQgCY1qAB/evXZ968eaxbtw4jIyN++OEHHnjgAT1HKWoaSVSEQbI2L99dybL6paSk8O233xIaGsp7Tz/N7hYtaGhuzqWsLLqdOcOZtLTKDFeIOk9RFCaFhBCXm0srKysW+/ry5ZdfMn/+fAA+//xznnjiCT1HKWoiWZ4sDFZYYsZt66lYm5vg42Rd5vFLly7RrVs3kpKS6Nu3L59v2cKg4GDOZmRgY2zM1vvu4zFHx6oI/T8pKZCWBp6eJY9FRYGtLdjbV20MQlSDL2JimHzpEqYqFcc7dCDmwAGefPJJ1Go177zzjjZhEaJIeb+/JVERtdrRo0fp3bs3mZmZjBw5klXr1zM0KIiA5GRMVCq+bN6ccbfZW+qepKRAv36QkAB790LxDTQjI8HPD1xcYNcuSVZEjXYxI4OOp06RqdGwxNcX/4YNOXfuHH379qVv3758/fXXssJHlCB1VIQAHnzwQbZu3YqJiQmbN2/mXX9/drZuzbMuLuQrCuMvXuR/4eFVs7V8WlpBkhIaWpCUFG2gWZSkhIYWHJfbUKIGy1SrGR4URKZGQ28HB14rTMhbt27N8ePHWbt2rSQp4p5IoiJqvX79+vHNN98A8Omnn3L62DE2tGzJ7IYNAXgnPJzJly5Vfq0VT8+CkRRf3/+SlcOH/0tSfH0Ljpd2W0iIGuLly5c5n5GBm5kZH1hZcejgfxWlPT09MTU11WN0ojaQOiqiTnj22We5ceMGVlZWdOvWDYAFvr54mZvz8uXLfBkbS0xODj+0aoWNSSX+s/DyKkhGipKT7t0L2ouSlOK3g4SoYb6Ni+PruDiMgE9dXRn56KPExsby66+/0qdPH32HJ2oJmaMi6iy1Wo2xsTG/JCbyTFAQWRoNHWxs+L11a9yKlfuuFIcP/5ekABw6BIUJkxA1UVBGBp0L56XMdnXl9xEjOHfuHI0bN+bgwYO4VdXcL1FryBwVIW7j+vXrPPjgg2zbto0nnZwIaNcOZ1NTTqen0/XMGS5mZFTem0VGwpgxum1jxvw3Z0WIGiZDrWb4hQtkajT42dry19ixnDt3Dnd3d3bv3i1JiqhUkqiIOmnlypWcPHmSZ555hp07d9LFzo4jHTrQxNKS8Oxsup05w4Hk5Ht/o+ITZ319C0ZSis9ZkWRF1DCKovDipUvaEvnpc+Zw+uRJnJyc+Pvvv/Ep3GerQlJSCpbrlyYqquC4qLMkURF10ty5cxkxYgR5eXkMHTqUgIAAGltacrh9ex60s+Nmfj6P/vsvWxIS7v5NoqJKTpzt1q3kBNuyPqCFMEAroqLYEB+PMeD+5Zec3L0bBwcHdu/eTatWrSp+wqJl/D17lkzcIyML2vv1k2SlDpNERdRJxsbGbNiwgSeffJLs7GwGDhzIwYMHcTYzY0/btgx2ciJHUXg6KIhP7jaRsLUtqJNy68TZogm2vr4Fx21tK+uyql1YYgbno1PKfIQlVuItNKF3e27exP/qVQAW+fjQLDMTW1tb/vzzT9q1a3d3J5Vl/OIOZDKtqNOys7N58skn2b17NzY2Nvzxxx889NBDqBWFVy5f5rOYGABe9/Jioa8vRhWtB1GLK9OGJWbQa+neO/YL8Pe7bQVhUTOEZmXR+dQpbuTnM87VlXUtWqDRaAgJCbm7kZTibr1FumFDwTyu4qORskKu1pHJtEKUg4WFBTt27KB3796kp6czZcqUgtVAKhUrmzblw8L77UsiIxkdHExORWut2NuXXSfF07PGJinAbbc3uJt+wnCl5+cz+Px5buTn0zAzk8+aNkWlUmFsbHzvSQrojjIWLeOXJEUUkkRF1HlWVlb88ssvjBs3jl9++QVjY2MAVCoVcxo14psWLTBRqdickMDjZ8+Smi9fvEJXbb4FpigKE0JCOJeRgVlGBhHjxvH69OmV/0ZeXgUjKcVt2CBJipCCb0JAQbKyfv16nbbU1FTs7OwY6+aGm5kZQy9cYE9yMn6nTrHT1RU3b++SJ6qC2zlqNRw4ALGx4O4OPXpAYS4lDEBtvwX2dlgYW65fR6VWkztrFpYZGQwZMqTy36isZfwyolLnyYiKEKX45Zdf8Pb2JiAgAIDHHB3Z264dziYmnMnKovvx41wJDdV9URWsUNi2Dby9oVcvePbZgj+9vQvahWGozbfAPo+O5sOICACUpUuxDA3l999/p3fv3pX7RrKMX9yGJCqiVlOrC34h27y54E+1+s6vURSFtWvXcvPmTQYMGMDOnTsB6Ghry2EPD3wTEgh1caHb+fOcvHy54EVVsEJh2zYYNqzk6uXo6IJ2SVZEVfo1MZGpRT/f69ZhtX8/O3fupFevXpX7RrKMX9yBJCqi1rrb0QiVSsWWLVu0S5cHDx7M1q1bAWji68vhzp3pEB7OdTs7el29yt8HD1b6RoNqNUyfDqWtyStqmzGjfImXEBV1PDWVEUFBaAB27sRm+3Z27dqFn59f5b9ZHVjGL+6NJCqiVrrX0QgLCwu2bNmiLQr39NNPs6Fwop+rjw97e/Wid1AQ6RYWPJ6ZyRZPz0pdoXDgwO1/gVSUgkGcAwfu+a30QyqRGqyrWVk8ce5cwd5X+fm4bNxIwD//0KNHj6p5Q3t72LUL9u0r+W/Hy6ugfdeuGr1CTtwbSVRErVNZoxGmpqZs3LiRCRMmoNFoGDduHJ999hkAto0a8Xvbtgzbu5dcMzOefvdd1q5fX2mT/mJjK7dfVbA2L99c/BL9pBKpwYrKzubRf//lel4eHWxs2OfnR+ilS3Tq1Klq37gWL+MX905W/YhapyKjEXcayTY2NubLL7/E2tqalStXcu7cORRFQRUVhfnYsXwfHs7U1FTWPPkkL6jVJJ49y5zWrVFVtDDcLdzdK7dfVfBxsibA3++2k0StzU1KrnS5tRJp0ShU8Xk+Rf3kC6raxOTk0P3ECSLUahqZmPB769bYmJiAiXxNCP2Sn0BR61T2aISRkRGffPIJDz30EMOGDUNVbPKfsa8vq4cOxWn7dj544gneunGDxMBAlrVrd0/JSo8eBb9IRkeXPjKkUhUcr6rR+PK6q+W2np4FyUlRUuLnV3ol0nuc5yPKLz43l65HjxKhKBAbi8+OHbj98IO+wxICkFs/ohaqitEIlUrFiBEjMI6NBT8/8kJDWeToSPauXai6d+d/06fz8ebNAHycksLE06fJr2gV22KMjWHFiqL3vjWWgj+XL6/B9VQqqRLp3azqqmx3fQvMQFzPzeWBAwcKkpT4eNp++y0/rVql77CE0JK9fkSto1YXrO6502hEWNhdfNEXzq+YdOECX6al0bNnT7Zv3069evUgMpJv58zhuQkTUBsbM8TJiU2tWmFudPe/D2zbVjDfpvitLC+vgiSlKmpuVbvDhwuSlCKHDhUsTS2H0v5uPD0LErzq/rsJS8yo+C0wA5CYm0v7gACizM3h+nV67tjB72vXYm1teLGK2qe839+SqIhaqWjVD+gmK0WjEVu23MOXWUoK/+zaxeBJk0hLS6Nly5bs3LkTb29viIpih1rNiPBwchWFPpaWbO/YseBef3EVqGBbayvT3jonBco9olL0//fWT69K+f9bR4RnZdEpIIAkKytISmLwvn38uGwZpqam+g5N1BGSqIg6r6pHI/79918ef/xxoqOjcXFx4ddff+WBBx4AYE9UFIMuXCDD3Jwu5ubs7NQJx6IvgKIvaBeXurvs8h52yy0aMStrwvQ9jZjVEefT03ns33+JzcuD+HgmXb7MmrfeuudJ4EJUhOyeLOq8IUMgPBwCAmDTpoI/w8Iq7zfttm3bcvToUdq2bUtCQgJ+fn7s2LEDgN7AP0uW4JiSwrGcHHqdOEF8bm6VVLCtce6xEmmtrzFTxQ6lpNAjMJDYvDyamZmxXK1m7dtvS5IiDJYkKqJWMzYu+M4bObLgz8r+DdvT05MDBw7Qv39/srKymDBhAjdv3gRPTx5Yt459y5bhlpTE2dxcehw+TMSQIbKy5R4rkdaEGjOGas3Zs/Q6dYrk/Hy62dlxpHNnpj/7rL7DEuK2JFER4h7Z2tryyy+/MG3aNH744YeCibUAXl7cv3EjB5YupVFcHJeBh/z9ufzgg3V7R9h7rERaE2rMGBpFUXhuzx6mJCaSZ2RE+5wcdrdt+9/tSCEMmMxREaKKHDlyhEaNGuERHk7k4MH0WbqUSw0b4gr81akTbWxs9B1ijVSlq7pqodS8PHr89htnCxNol2PHODVuHJ5ubnqOTNR1MkdFCD26evUqjz/+OJ07dODE8OF4Xb/OgenTaXf5MvGA3+nTHEtN1XeYNVKtrzFTic7dvEnDoiQlL49uR44QMWOGJCmiRpFERYgq4u7kREx8PD1iYvjSyQmX338nYMUKup4/z02Nhj5nzrD35k19h1kjDRlSsAS5QQPddk9PWZpc5PPgYNofPUpKvXqQmMirEREcnD0bc3NzfYcmRIVIoiJEFWhsbs6RvDwGAjnApMREnvvyS8y3b+evzz6j96lTpCsK/c+e5fekJH2HWyNV9aqumio5L48xwcG8GB+P2tISk4sX+dHRkY8mTqzylT2GUClY1D4yR0XUGgZVGK2wgq0mPp6Fw4fzztKlaDQa2rVrx5ZPPqHB888zYvp0fmnVChOViu9atmSEi4ueghW1xT83bzL+4kUic3IwAnrHx/Np58409/Wt8vc2pErBomaQgm+iTjHID8mUlII6KZ6e/P3334wcOZLExEReeeUVVrz+Onk2NoyPiWFTQgIqYG2zZjzv4aGnYEVNlpqfj39wMF8Ujs41trDg25Yt6VZNxQSlUrC4G5KoiDqjpnxIRkVF8f7777NixQosLCwAUCsKUy9dYk1h0Y8lvr74N2xYofMa1EiSqFaKorAxPp7pFy9yo7DN8/Rpgl95peS2DVVEKgWLuyWrfkSdoFYXjKSUlm4Xtc2YYRj3yj09PVmzZs1/SYpazctTpzJdo2FWYT2R10NDeSs0lPL+/rBtW8GXRK9e8OyzBX96exe0i9rt3/R0epw5w5iiJCUykgYrVrDz0UerLUkBqRQsqp4kKqJGq8kfksuWLWP16tV06tSJpnv38qGPDwAfRkQw7fJlNHdIVopGkm69/ujognZJVmqn8Kwsnr94kQ4nT3IoNRWysuCLLxh/4AAXN2ygdevW1RqPVAoWVU0SFVGj1eQPyTFjxtCnTx8yMzN5/vnnOTZ9Oovd3FABn8XEMCY4mFyNptTX1qSRJFE5IrOzmRISQtPjx/kqLg4NQEAAti+/zA+DBrFu7Vps9FBEUCoFi6omiYqo0Wryh6S7uzt//vknCxcuxNTUlJ9//pnFPXowPT0dE5WKTQkJPHnuHOn5+SVeW5NHkkTFXM7M5KVLl2hy7BhrYmPJVxR629nRaPFiuu/Zw7k9e3j66af1Fl+PHgVzUMpa+axSFeyM0KNH9cYlag9JVESNVtM/JI2MjJg1axYnTpygTZs2JCYmsnzgQJ45exYrIyP+vHmT3v/+S2Jurs7ravJIUq2WklJ2BhkVVXC8HBRF4e8bNxh47hzNjx9ndUwMuYpCT3t79rdrx98dOnBgzRr27t1Lo0aNKvECKk4qBYuqJomKqNFqy4dk27ZtOX78OHPmzMHKyopZvXqxp21bHE1MOJ6WxkNnzhCRna3tX5NHkmqtwto59OxZMJxVXGRkQXu/frdNVm7k5bEqOprWJ07w6Nmz/JaUhAK4h4fDq68yYPduejg4AODl5YVJNU6avR2pFCyqkixPFrVCaXVUvLwKkpSa9iGZkJCAS2Hxt+CMDB46coQbJiY0MDNjV5s23G9jIxvz6VGZy8GjogqSkdBQ8PX9b4fsyEjw8/uvfd++gv85RedTFP66cYN1cXH8nJhIbuH/UGsjIzonJXHq7bdJCwrCxMSE+fPnM2fOHL1cd3nIUnlREVJHRdQ5tfFD8vTp03QaMADVkiVovLywMzZm2/3307tePe2qH9BNVgytfkxtcsfCgrcmJRs2wJgxJZIXjaJwNDWVHxMS+PH6dWKL3dpra23NACMjAmbP5ujffwPQsWNHvvjiC9q3b1+t1ytEVZJERYhaIDg4mAkTJnAsKAjefx/atsUY+LpFC8a6udWqkSRDV+7CghcuwIABEBHxXydfXzQBARzNyWFrbi4/paYSmZOjPexoYsIoV1cmuLlxfscOJk6cSF5eHtbW1nzwwQdMmzYN45qedQtxC0lUhKgl1Go1n332GW+99x5pL74IvXsD8IazMwtbtUKjUdW6kSRDU+7qq4EpGD/eryBJiYkh29SUPR07smPRIn5VqYgvtl7c1tiYQU5OPO3szGOOjpgbFUwZDA4Opk2bNvTr149Vq1bRsIKVioWoKSRREaKWiYuLY9bs2XxragqjRgEw1sWFtS1aaL/kRNXYu7eg6u+dBPx4nRbv92anpye/du3K7k6dyLC01B63T0/n8fPneXrwYPo2bYqFsTGBgYHs37+fV155RdvvwoULtGrVqsp3OxZCnyRREaKWOnz4MM9s3EjUsGEoKhXd7OzYct99uJmZyRdbFdm8uWCLgtIp0CQduibh+0w8oVZZOkcb3LjB4H37GHzwIA/fvInZvn3g5UVERARz587l22+/RaVScerUKdq1a1fVlyKEwSjv97dhrG0TQpRbt27dCOvShb9u3uTZixc5nJpK60OHcFu5ks9mzODhhx/Wd4i1Toll3uZq6HATuibBg0ngXDAZNrTwcOfQUJ4IDOSJXbtof/ky2vSxYUOSkpNZsGIFK1euJKdwnsqIESNwcnKqjksRosaRERUharDLmZk8ef48FzMzIScHFi+mr6kp8+bN48EHH9R3eLWGWg1ebXKJbZQE3ROh402wKLa9QZYRlhfqsfzalww8dAD3n38uWAHUvbu2S4abG8tNTVmSkkJKaioAvXr1YtGiRXTu3Lm6L0kIvZNbP0LcBUNa4hyWmEFGTsny+UWszU3wcbImJT+fYWfO8HdGRsGBn36CtWvp16cP8+bNo0uXLtUUce0TlpXF9sREtl2/zuGUVJTid9bizOFIfThaHwId2LrZmCG9UyAtrWBpUNEy5ULpnp54p6eTlJxM27ZtWbRoEY899pjcrhN1liQqQlTQHWtkVKOwxAx6Ld17x34B/n74OFmjVhTeCg1lUVFF1OBgeO89iI9n9uzZLFiwoGoDrkUuZmSw5fp1tiUmciY9XedY43wbrv/sROofTnDVGlCVXA5eWEslMTSU7+vXZ+rPP6MaOxZCQ1nn7IzF3LmMeOkljGQCtKjjZI6KEBVQVo2M6OiC9uounna7kZTS+hmrVCxs3Jhu9vaMv3iRmy1bYvbNN+R/8AEPPfSQtn9mZiZmZmYGU3rdUFzOzOTH69f5MSGBs0UjU4Ax0NPBgaecnBjs5ISnhQXqXnBgaBmjblFRXOrWjY+jovhGpSIrKYlGN24wcO9e8PNjQmgofPwxDB6sU51WCFE2+bQSdZ5aXTCSUtrYoqIU1MiYMQMGDTLQ+iQphbcbPD150smJM506MeLCBY4BzJ/Pn05O9FKrsTI2ZtGiRXz77bdMmzaN8ePHU79+fX1HrzeR2dn8kJDApoQEnZETE5WKx+rVY5izMwPr18fJzEzndcbGBXd1ilMUhb1797J8yRJ+jYpCKWikY8eOWFlZFVThK0xWcHEBW9sqvjohag+59SPqvHLXyAgo+QVVVc5Hp/DEpwfv2O+3Ce24f/wwSEj4b28ZIFej4c1//2VZ4QZ4Tc3N+bplSyZ360ZwcDAA5ubmjBgxgpdeeokHHnigTsyVuJGXx5br19kUH8/+lBSKPvxMVCr61KvH087ODHZyop6pabnPmZiYyEMPPURISAgAKpWKgX368Npbb/Hwww/r/r1GRRUkKfb2lXhVQtRM5f3+lpukos6Lja3cftUqI6MgSQkNLciiCueomEVHs3TYMH6fPRuPmze5nJPDw4GB9N62jU8L94zJycnh22+/5cEHH6RDhw589dVX+r2WKpKj0bD1+nWeOn8et8OHeeHSJfYVJikP29vzebNmxHbtyh9t2jDB3f2OSYpareb8+fPa5/Xr18fCwgIbGxumTJlCcHAwP//1Fz179iyZ/Hl6SpIiRAXJrR9R55WokXGP/aqVq+t/txSKkpViG+ENAC60b89r2dmsi4tjZVwcTVq35rO//8bu8mU+++wzfvjhBwIDAzlz5oz2tBqNhuzs7ILbFjWQRlE4lJLChvh4frp+neT8/+b8tLW2ZpSrK8+4uOBlYVGu8ymKwr///st3333Hpk2bSE5OJj4+HltbW1QqFZs2bcLLywtbuaUjRKWTWz+izivaxyU6uvR5Ktp9XMKqb45KuW/9vPwQ9zew1921t0ix3XoB/khKYlJICNGFO/UOrF+fpY0bUz8rix9++IGHHnqINm3aAHDgwAH69etH//79GTJkCI8//jj2NWAk4GJGBhvi49kYH8+1Ypv+eZqbM8rFhdGurtxvY1Ouc2k0Gk6ePMmOHTvYvn07Fy9e1B6rV68eO3fulFo1QtwDWfUjRDkZGxcsQR42rCApKZ6sFI3cL19uoBNpi3h5FYykFCswxoYN2iQFoH/9+lx44AHmhoXxWUwMvyYl8ceNG0xr0IC5kybp3PL49ddfyczMZOvWrWzduhVTU1N69+5Nv3796Nu3L82bNzeYOS3ROTl8n5DA5vh4ThWbFGtrbMwwZ2dGu7ri5+CAUQXjXbNmDS+99JL2ubm5OQMHDmT06NH0798fs1sm2QohqoaMqAhRqLQ6KiVqZFSTitZRKc+ISnEhmZn4X73Kb0lJADiYmDDVw4NXPD1xMTNDURQCAwPZunUr27Zt007ALXL+/Hnuu+8+oGDJs6WlZbUmLtdzc9memMjmhAT2JSfrTIrt5+jIaFdXnqxfH8s7ZJdZWVmcPHmSf/75h927dzNu3DgmTZoEQHh4OG3atKF///4MHjyYAQMG1IhRJSFqihpV8G3VqlUsWbKEuLg42rZty6effsoDDzxQrtdKoiIqU02sTKuTpPj66sxRuV2yArD7xg1eu3qV84W1QyyMjBjv5oa/lxeNi+36GxwczO+//85ff/3F1atXuXLlijYxGT58OIcPH6Z79+5069aN9u3b07ZtWxwcHCrrrwKAmJwcticmsvX6dfYlJ1OsgD0P2dsz0sWF4c7OON9mpCMnJ4dt27Zx5MgRjhw5QmBgIPnF5q889dRTbNu2Tfs8NzdXRk6EqCI1JlH54YcfGDt2LJ9//jldunRh+fLl/PTTT4SEhODi4nLH10uiIuq0qCjo2bNkUnJr8rJvX5kFxtSKwi+JiSyKiOBYWhpQsBywn6MjowpHJmyKFYhTq9UYF8veGjVqRERERInzNmrUiG7durFp0yZt282bN3FwcCjX6ItaUTiVlsYfN27wR1ISx9PSKP5h1dHGhuEuLox0caFhsUmxqamphIWFERoaSmhoKPXq1eO5554DChIPa2trneTEzc2NHj168Oijj/Loo4/i7e19x9iEEPeuxiQqXbp0oXPnzqxcuRIomMDm5eXFyy+/zOzZs+/4eklURJ2WkgL9+pWoowL8l6y4uMCuXXdcFqsoCvtTUlgUEcEfN25o262MjBjk5MQzLi70dHDA/paqtpmZmZw4cYJDhw5x7Ngx/v33X65duwbAAw88wLFjx7R9mzdvTkREBO7u7ri5uWkf9evXx9vXly7Dh3MoNZX9ycn8Hh9Pyi0JTdPcXNqlptLTyIipxe7HDRkyhKtXrxIdHU1S4e2sIp06deLEiRPa56NGjaJ+/fp07dqVrl270qhRI4OZbyNEXVIjEpXc3FysrKzYsmULgwcP1raPGzeO5ORkfv755xKvycnJ0W6NDgUX6uXlJYmKqLuKVaYt4S4LjIVkZrKpcPXM1exsbbsKaGtjQw97e3rY29PWxoZGFhaY37Jvzc2bNzl79iz5+fn07t0bKBiJsbW1JSsrCywsCpKqhg0LHs2bY9ymDepit5sASE+HU6fg+PGCR2IiAB06dODUqVPabk2aNOHq1ava5/Xr18fX1xcfHx/at29frl96hBDVq0as+klMTEStVuPq6qrT7urqqrMUsLgFCxbw3nvvVUd4QtQM9vZlJyJ3uZ9Mcysr3vPxYZ63NyfS0tgYH8/OGze4kpVFYHo6genpfBodDRQkLw3MzfGxsMDL3BxLIyPMjIww8/DAzMiIHZcvk5SXR1JeHq327ycmK4tYtbrEe6oBayMjutjZ0d3ent0LF5J/9iwqtRpFUTBu3BjrNm2wtramadOmOq/99NNPMTIyws3NDR8fH/mlRYhaRK8jKjExMTRo0IDDhw/TtWtXbfsbb7zBvn37dIaMi8iIihD6E5uTw8GUFPanpHAwJYWQzEyyNJo7v7AUTqamtLCyoqWVFa2trelub08ba2tMZFdhIeqEGjGi4uTkhLGxMfHx8Trt8fHxuLm5lfoac3NzzM3NqyM8IcQt3M3NGe7iwvDCie6KopCQl0dYVhZh2dnE5OaSo9GQq9GQqyjkaDRYGhnhaGpKfVNTHE1McDI1pamlZYnN/oQQojR6TVTMzMzo2LEje/bs0c5R0Wg07Nmzh2nTpukzNCFEOahUKlzNzHA1M+NBqTEihKgCeq9M+9prrzFu3Dg6derEAw88wPLly8nIyGDChAn6Dk0IIYQQeqb3RGXEiBFcv36duXPnEhcXR7t27di1a1eJCbZCCCGEqHv0XkflXkkdFSGEEKLmKe/3t0yvF0IIIYTBkkRFCCGEEAZLEhUhhBBCGCxJVIQQQghhsCRREUIIIYTBkkRFCCGEEAZLEhUhhBBCGCxJVIQQQghhsCRREUIIIYTBkkRFCCGEEAZLEhUhhBBCGCxJVIQQQghhsCRREUIIIYTBkkRFCCGEEAZLEhUhhBBCGCxJVIQQQghhsCRREUIIIYTBkkRFCCGEEAZLEhUhhBBCGCxJVIQQQghhsCRREUIIIYTBkkRFCCGEEAbLRN8BCCGE+I9aDQcOQGwsuLtDjx5gbKzvqITQH0lUhBDCQGzbBtOnQ1TUf22enrBiBQwZor+4hNAnufUjhBAGYNs2GDZMN0kBiI4uaN+2TT9xCaFvkqgIIYSeqdUFIymKUvJYUduMGQX9hKhrJFERQgg9O3Cg5EhKcYoCkZEF/YSoayRREUIIPYuNrdx+QtQmkqgIIYSeubtXbj8hahNJVIQQQs969ChY3aNSlX5cpQIvr4J+QtQ1kqgIIYSeGRsXLEGGkslK0fPly6WeiqibJFERQggDMGQIbNkCDRrotnt6FrRLHRVRV0nBNyGEMBBDhsCgQVKZVojiJFERQggDYmwMfn76jkIIwyG3foQQQghhsCRREUIIIYTBkkRFCCGEEAZLEhUhhBBCGCxJVIQQQghhsCRREUIIIYTBkkRFCCGEEAZLEhUhhBBCGCxJVIQQQghhsCRREUIIIYTBkkRFCFF7paRAVFTpx6KiCo4LIQyaJCpCiNopJQX69YOePSEyUvdYZGRBe79+kqwIYeAkURFC1E5paZCQAKGhBbv8FSUrkZEFz0NDC46npekzSiHEHUiiIoSonTw9Ye9e8PX9L1k5fPi/JMXXt+C4p6d+4xRC3JaJvgMQQogq4+VVkIwUJSfduxe0FyUpXl56DE4IUR4yoiKEqN28vGDDBt22DRskSRGihpBERQhRu0VGwpgxum1jxpScYCuEMEiSqAghaq/iE2d9feHQId05K5KsCGHwZI6KEKJMYYkZZOTkl3nc2twEHyfraoyoAqKiSk6cvXXOip8f7NsnE2qFMGCSqAghShWWmEGvpXvv2C/A388wkxVbW3BxKfjv4hNniycrLi4F/YQQBksSFSFEqW43knI3/aqdvT3s2lVQJ+XWERMvr4KRFFvbgn5CCIMliYoQovayty87EZHbPULUCDKZVgghhBAGSxIVIYQQQhgsSVSEEEIIYbAkURFCCCGEwZJERQghhBAGSxIVIUSprM3LtyiwvP2EEOJuyCeMEKJUPk7WBPj71dzKtEKIWkESFSFEmSQJEULoW5Xd+vH29kalUuk8Fi5cqNPn7Nmz9OjRAwsLC7y8vFi8eHFVhSOEEEKIGqhKR1Tmz5/PpEmTtM9ti+2pkZqaymOPPUafPn34/PPPOXfuHM899xwODg5Mnjy5KsMSQgghRA1RpYmKra0tbm5upR7buHEjubm5fP3115iZmXHfffcRGBjIRx99JImKEEIIIYAqXvWzcOFC6tevT/v27VmyZAn5+f9Nyjty5AgPP/wwZmZm2ra+ffsSEhLCzZs3yzxnTk4OqampOg8hhBBC1E5VNqLyyiuv0KFDBxwdHTl8+DBz5swhNjaWjz76CIC4uDh8fHx0XuPq6qo9Vq9evVLPu2DBAt57772qClsIIYQQBqRCIyqzZ88uMUH21sfFixcBeO211/Dz86NNmzZMmTKFZcuW8emnn5KTk3NPAc+ZM4eUlBTtIzIy8p7OJ4QQQgjDVaERlZkzZzJ+/Pjb9vH19S21vUuXLuTn5xMeHk7z5s1xc3MjPj5ep0/R87LmtQCYm5tjbm5ekbCFEEIIUUNVKFFxdnbG2dn5rt4oMDAQIyMjXFxcAOjatStvvfUWeXl5mJqaArB7926aN29e5m0fIYQQQtQtVTKZ9siRIyxfvpx///2X0NBQNm7cyKuvvsro0aO1Scizzz6LmZkZEydO5MKFC/zwww+sWLGC1157rSpCEkIIIUQNVCWTac3Nzfn++++ZN28eOTk5+Pj48Oqrr+okIfb29vz1119MnTqVjh074uTkxNy5cyu8NFlRFABZ/SOEEELUIEXf20Xf42VRKXfqYeCioqLw8vLSdxhCCCGEuAuRkZF4enqWebzGJyoajYaYmBhsbW1RqVSVdt7U1FS8vLyIjIzEzs6u0s5rSGr7Ncr11Xy1/Rpr+/VB7b9Gub67pygKaWlpeHh4YGRU9kyUGr8poZGR0W0zsXtlZ2dXK3/4iqvt1yjXV/PV9mus7dcHtf8a5frujr29/R37VGllWiGEEEKIeyGJihBCCCEMliQqZTA3N+fdd9+t1cXlavs1yvXVfLX9Gmv79UHtv0a5vqpX4yfTCiGEEKL2khEVIYQQQhgsSVSEEEIIYbAkURFCCCGEwZJERQghhBAGSxKV28jJyaFdu3aoVCoCAwN1jp09e5YePXpgYWGBl5cXixcv1k+Qd+nJJ5+kYcOGWFhY4O7uzpgxY4iJidHpU1OvMTw8nIkTJ+Lj44OlpSWNGzfm3XffJTc3V6dfTb0+gA8++IBu3bphZWWFg4NDqX0iIiJ4/PHHsbKywsXFhddff538/PzqDfQerFq1Cm9vbywsLOjSpQvHjx/Xd0h3bf/+/QwcOBAPDw9UKhU7duzQOa4oCnPnzsXd3R1LS0v69OnD5cuX9RPsXViwYAGdO3fG1tYWFxcXBg8eTEhIiE6f7Oxspk6dSv369bGxsWHo0KHEx8frKeKKWb16NW3atNEWPevatSt//PGH9nhNvrbSLFy4EJVKxYwZM7Rt+rxGSVRu44033sDDw6NEe2pqKo899hiNGjXi1KlTLFmyhHnz5rF27Vo9RHl3evXqxY8//khISAhbt27l6tWrDBs2THu8Jl/jxYsX0Wg0rFmzhgsXLvDxxx/z+eef8+abb2r71OTrA8jNzWX48OG8+OKLpR5Xq9U8/vjj5ObmcvjwYb755hvWr1/P3LlzqznSu/PDDz/w2muv8e6773L69Gnatm1L3759SUhI0HdodyUjI4O2bduyatWqUo8vXryYTz75hM8//5xjx45hbW1N3759yc7OruZI786+ffuYOnUqR48eZffu3eTl5fHYY4+RkZGh7fPqq6/y66+/8tNPP7Fv3z5iYmIYMmSIHqMuP09PTxYuXMipU6c4efIkjzzyCIMGDeLChQtAzb62W504cYI1a9bQpk0bnXa9XqMiSrVz506lRYsWyoULFxRAOXPmjPbYZ599ptSrV0/JycnRts2aNUtp3ry5HiKtHD///LOiUqmU3NxcRVFq3zUuXrxY8fHx0T6vLde3bt06xd7evkT7zp07FSMjIyUuLk7btnr1asXOzk7nmg3VAw88oEydOlX7XK1WKx4eHsqCBQv0GFXlAJTt27drn2s0GsXNzU1ZsmSJti05OVkxNzdXNm/erIcI711CQoICKPv27VMUpeB6TE1NlZ9++knbJzg4WAGUI0eO6CvMe1KvXj3lyy+/rFXXlpaWpjRt2lTZvXu30rNnT2X69OmKouj//5+MqJQiPj6eSZMmsWHDBqysrEocP3LkCA8//DBmZmbatr59+xISEsLNmzerM9RKcePGDTZu3Ei3bt0wNTUFat81pqSk4OjoqH1e267vVkeOHKF169a4urpq2/r27Utqaqr2t0BDlZuby6lTp+jTp4+2zcjIiD59+nDkyBE9RlY1wsLCiIuL07lee3t7unTpUmOvNyUlBUD7b+7UqVPk5eXpXGOLFi1o2LBhjbtGtVrN999/T0ZGBl27dq1V1zZ16lQef/xxnWsB/f//k0TlFoqiMH78eKZMmUKnTp1K7RMXF6fzBQBon8fFxVV5jJVl1qxZWFtbU79+fSIiIvj555+1x2rLNQJcuXKFTz/9lBdeeEHbVpuurzQ1+foSExNRq9Wlxm/osd+NomuqLder0WiYMWMG3bt35/777wcKrtHMzKzEfKqadI3nzp3DxsYGc3NzpkyZwvbt22nVqlWtuDaA77//ntOnT7NgwYISx/R9jXUmUZk9ezYqleq2j4sXL/Lpp5+SlpbGnDlz9B1yhZX3Gou8/vrrnDlzhr/++gtjY2PGjh2LYsCFiit6fQDR0dH069eP4cOHM2nSJD1FXj53c31CGJqpU6dy/vx5vv/+e32HUqmaN29OYGAgx44d48UXX2TcuHEEBQXpO6xKERkZyfTp09m4cSMWFhb6DqcEE30HUF1mzpzJ+PHjb9vH19eXf/75hyNHjpTY16BTp06MGjWKb775Bjc3txKznYueu7m5VWrcFVHeayzi5OSEk5MTzZo1o2XLlnh5eXH06FG6du1qkNdY0euLiYmhV69edOvWrcQk2dpwfbfj5uZWYpWMvq+vvJycnDA2Ni71/4+hx343iq4pPj4ed3d3bXt8fDzt2rXTU1R3Z9q0afz222/s378fT09Pbbubmxu5ubkkJyfr/FZek/6fmpmZ0aRJEwA6duzIiRMnWLFiBSNGjKjx13bq1CkSEhLo0KGDtk2tVrN//35WrlzJn3/+qd9rrPJZMDXMtWvXlHPnzmkff/75pwIoW7ZsUSIjIxVF+W8iZtHEU0VRlDlz5tS4iZjFXbt2TQGUgIAARVFq/jVGRUUpTZs2VZ555hklPz+/xPGafn1F7jSZNj4+Xtu2Zs0axc7OTsnOzq7GCO/OAw88oEybNk37XK1WKw0aNKjVk2mXLl2qbUtJSalRk2k1Go0ydepUxcPDQ7l06VKJ40WTMbds2aJtu3jxYo2ccFqkV69eyrhx42rFtaWmpup87507d07p1KmTMnr0aOXcuXN6v0ZJVO4gLCysxKqf5ORkxdXVVRkzZoxy/vx55fvvv1esrKyUNWvW6C/QCjh69Kjy6aefKmfOnFHCw8OVPXv2KN26dVMaN26s/RKrydcYFRWlNGnSROndu7cSFRWlxMbGah9FavL1KUpBYnnmzBnlvffeU2xsbJQzZ84oZ86cUdLS0hRFUZT8/Hzl/vvvVx577DElMDBQ2bVrl+Ls7KzMmTNHz5GXz/fff6+Ym5sr69evV4KCgpTJkycrDg4OOquYapK0tDTt/yNA+eijj5QzZ84o165dUxRFURYuXKg4ODgoP//8s3L27Fll0KBBio+Pj5KVlaXnyMvnxRdfVOzt7ZW9e/fq/HvLzMzU9pkyZYrSsGFD5Z9//lFOnjypdO3aVenataseoy6/2bNnK/v27VPCwsKUs2fPKrNnz1ZUKpXy119/KYpSs6+tLMVX/SiKfq9REpU7KC1RURRF+ffff5WHHnpIMTc3Vxo0aKAsXLhQPwHehbNnzyq9evVSHB0dFXNzc8Xb21uZMmWKEhUVpdOvpl7junXrFKDUR3E19foURVHGjRtX6vUVjYgpiqKEh4cr/fv3VywtLRUnJydl5syZSl5env6CrqBPP/1UadiwoWJmZqY88MADytGjR/Ud0l0LCAgo9f/XuHHjFEUpGJF45513FFdXV8Xc3Fzp3bu3EhISot+gK6Csf2/r1q3T9snKylJeeuklpV69eoqVlZXy1FNP6fzyYMiee+45pVGjRoqZmZni7Oys9O7dW5ukKErNvray3Jqo6PMaVYpiwLMnhRBCCFGn1ZlVP0IIIYSoeSRREUIIIYTBkkRFCCGEEAZLEhUhhBBCGCxJVIQQQvy/3ToWAAAAABjkbz2NHUURbIkKALAlKgDAlqgAAFuiAgBsiQoAsCUqAMCWqAAAWwFhvjLR4oR4rgAAAABJRU5ErkJggg==\n"
},
"metadata": {}
},
{
"output_type": "stream",
"name": "stdout",
"text": [
"Validation error: 491.22045166789223\n",
"Test error: 580.9773530876988\n"
]
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "QWoX0SojyWGb"
},
"source": [
"# Extensions\n",
"These are all completely optional!\n",
"\n",
"+ Try combining your training and validation data for creating the final model. How does this improve perfomance on your test data.\n",
"\n",
"+ Make the data more complex! Make the level of noise vary with x (hetroscedastic noise), which breaks one of the assumptions of the model. How does that effect performance? Can you implement weighted least squares regression to counteract this?\n",
"\n",
"+ Apply linear regression (or logistic regression for classification) to some of the datasets from [scikit-learn](https://scikit-learn.org/stable/datasets/toy_dataset.html).\n",
"\n",
"+ The bias-variance decomposition lets us examine the effect on the learned models function when we refit the model using different samples of our dataset. Try generating several versions of the dataset with the same underlying generating function, but with different realisations of added noise. Fit a model using each of these versions of the dataset, and calculate the bias and variance of the model solutions. See this [tutorial](https://towardsdatascience.com/the-bias-variance-tradeoff-8818f41e39e9) for some ideas or check Chris Bishop's [book](https://www.microsoft.com/en-us/research/uploads/prod/2006/01/Bishop-Pattern-Recognition-and-Machine-Learning-2006.pdf) on page 147."
]
}
]
}