{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# CS109A Introduction to Data Science\n",
"\n",
"## Standard Section 10: Feed Forward Neural Networks: Regularization and Adam optimizer\n",
"\n",
"**Harvard University** \n",
"**Fall 2020** \n",
"**Instructors**: Pavlos Protopapas, Kevin Rader, and Chris Tanner \n",
"**Section Leaders**: Marios Mattheakis, Henry Jin, Hayden Joy"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n"
],
"text/plain": [
""
]
},
"execution_count": 1,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"#RUN THIS CELL \n",
"import requests\n",
"from IPython.core.display import HTML\n",
"styles = requests.get(\"https://raw.githubusercontent.com/Harvard-IACS/2018-CS109A/master/content/styles/cs109.css\").text\n",
"HTML(styles)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"In this section is we will learn methods for improving the network optimization. Essentially, the goal is to become familiar with regularization methods and with the optimizers used in training neural networks (NNs).\n",
"\n",
"Specifically, we will: \n",
" \n",
"1. Use NNs to solve a regression task where polynomial regression fails\n",
"2. Fit noise data and observe underfitting and overfitting\n",
"3. Learn about early-stopping and regularization: $L_1$, $L_2$, and dropout\n",
"4. Explore the Adam optimizer\n",
"5. Improve the classifier network used in section 9\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Import packages"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"import pandas as pd\n",
"import matplotlib\n",
"import matplotlib.pyplot as plt\n",
"import pandas as pd\n",
"import seaborn as sns\n",
"\n",
"import tensorflow as tf\n",
"from tensorflow.keras import layers\n",
"from tensorflow.keras import models\n",
"from tensorflow.keras import optimizers\n",
"from tensorflow.keras import regularizers\n",
"from tensorflow.keras import callbacks\n",
"\n",
"\n",
"from sklearn.linear_model import LinearRegression\n",
"from sklearn.model_selection import train_test_split\n",
"from sklearn.metrics import mean_squared_error , r2_score\n",
"from sklearn.preprocessing import PolynomialFeatures\n",
"\n",
"\n",
"import copy\n",
"import operator\n",
"\n",
"from numpy.random import seed\n",
"seed(123)\n"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"tf.random.set_seed(256)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Helper functions: \n",
"1. For plotting train set, test set, neural network predictions\n",
"2. For plotting the training and validation loss functions"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"def array_exists(arr):\n",
" return hasattr(arr, 'shape')\n",
"#check if the numpy array exists\n",
"\n",
"def reshape_if_exists(arr):\n",
" if array_exists(arr):\n",
" return arr['x'].values.reshape(-1,1), arr['y'].values.reshape(-1,1)\n",
" else:\n",
" return None, None\n",
" \n",
"def reshape_and_extract_sets(train_set, test_set):\n",
" \"\"\"\n",
" Extracts x_train, y_train, x_test and y_test and reshapes them for using with keras.\n",
" \"\"\" \n",
" x_train, y_train = reshape_if_exists(train_set)\n",
" x_test, y_test = reshape_if_exists(test_set)\n",
" return x_train, y_train, x_test, y_test\n",
"\n",
"def plot_sets(train_set = None, \n",
" test_set = None, \n",
" NN_model = None,\n",
" title = None):\n",
" \"\"\"\n",
" plots the train set, test set, and Neural network model's predictions if entered\n",
" \n",
" Arguments:\n",
" train_set : The training set points to plot\n",
" test_set : The test set points to plot\n",
" NN_model : if you enter a model this function will plot the predictions\n",
" title : if you enter a title, it will display on the plot.\n",
" \"\"\"\n",
" x_train, y_train, x_test, y_test = reshape_and_extract_sets(train_set, test_set)\n",
" \n",
" plt.figure(figsize = (12,5))\n",
" if array_exists(train_set):\n",
" plt.plot(x_train, y_train,'og', alpha = 0.8, label='train data')\n",
" \n",
" if array_exists(test_set):\n",
" plt.plot(x_test, y_test,'^r', alpha = 0.8, label='test data')\n",
" \n",
" # if the neural network model was provided, plot the predictions.\n",
" if type(NN_model) != type(None):\n",
" xx = np.linspace(np.min(x_train), np.max(x_train), num = 1000)\n",
" NN_preds = NN_model.predict(xx.reshape(-1,1)) \n",
" plt.plot(xx, NN_preds,'-b',linewidth=2,label='FFNN', alpha = 0.7)\n",
" NN_preds_test = NN_model.predict(x_test.reshape(-1,1)) \n",
" r2 = r2_score(NN_preds_test, y_test)\n",
" \n",
" if title:\n",
" if NN_model:\n",
" plt.title(title + \", $R^2$ score ={}\".format(round(r2,4)))\n",
" else:\n",
" plt.title(title)\n",
" plt.xlabel(\"x\")\n",
" plt.ylabel(\"y(x)\")\n",
" plt.legend()\n",
" \n",
" if title:\n",
" if \"Lorentz\" in title or \"lorentz\" in title:\n",
" lorentz_labels()\n",
" plt.show()\n",
" \n",
"def plot_loss(model_history, rolling = None, title = \"Loss vs Epoch \"):\n",
" \"\"\"\n",
" Arguments:\n",
" model_history : the nueral network model history to plot\n",
" title : if you want a title other than the default plot it.\n",
" rolling : this will plot a rolling average of the loss (purely for visualization purposes)\n",
" \"\"\"\n",
" plt.figure(figsize = (12,5))\n",
" train_loss = model_history.history['loss']\n",
" val_loss = model_history.history['val_loss']\n",
" set_colors = {\"train\": sns.color_palette()[0],\n",
" \"val\": sns.color_palette()[1]}\n",
" \n",
" if rolling:\n",
" alphas = [0.45, 0.35]\n",
" else:\n",
" alphas = [0.8, 0.6]\n",
" \n",
" plt.loglog( train_loss, linewidth=3, label = 'Training', alpha = alphas[0], color = set_colors[\"train\"])\n",
" \n",
" plt.loglog( val_loss, linewidth=3, label = 'Validation', color = set_colors[\"val\"], alpha=alphas[1])\n",
" \n",
" if rolling:\n",
" plt.plot(pd.Series(train_loss).rolling(rolling).mean(),linewidth=4, \n",
" label = 'Train loss rolling avg.', color = set_colors[\"train\"])\n",
" plt.plot(pd.Series(val_loss).rolling(rolling).mean(),linewidth=4, \n",
" label = 'Val loss rolling avg.', color = set_colors[\"val\"])\n",
" plt.title(title)\n",
" plt.xlabel('Epoch')\n",
" plt.ylabel('Loss')\n",
" plt.legend()\n",
" plt.show()\n",
"\n",
"def lorentz_labels():\n",
" \"\"\"\n",
" chage axis labels and set ylim for lorentz problem.\n",
" \"\"\"\n",
" plt.xlabel('$\\omega$')\n",
" plt.ylabel('$\\epsilon$')\n",
" plt.legend()\n",
" plt.ylim([-9,9]);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"---------\n",
"## 1. Regression: Neural Nets VS Polynomial Regression\n",
"\n",
"Let's fit a difficult function where polynomial regression fails. \n",
"\n",
"The dielectric function of many optical materials depends on the frequency and is given by the Lorentz model as:\n",
"$$ \\varepsilon(\\omega) = 1 - \\frac{\\omega_0^2}{\\omega_0^2-\\omega^2 +i\\omega\\Gamma},$$\n",
"where $\\omega$ is the frequency, $\\omega_0$ is the resonance frequency of the bound electrons, and $\\Gamma$ is the electron damping. \n",
"\n",
"In many situations, we measure the real part of the dielectric function in the lab and then we fit these observations. Let's assume that we perform an experiment and the observations came from a Lorentz model. "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Lorentz model"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
""
]
},
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"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"lor_set = pd.read_csv('../data/lorentz_set.csv')\n",
"\n",
"lor_train, lor_test = train_test_split(lor_set, train_size=0.7, random_state=109)\n",
"x_train, y_train, x_test, y_test = reshape_and_extract_sets(lor_train, lor_test)\n",
"\n",
"plot_sets(lor_train, lor_test, title = \"Lorentz equation data\")"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(89,)"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"x_train[:,0].shape"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Using polynomial regression to fit the data"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"MSE on training set: 1.1882431815719614\n",
"MSE on testing set: 1.6884109651402155\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"x = copy.copy(x_train)\n",
"y = copy.copy(y_train)\n",
"xTest = copy.copy(x_test)\n",
"yTest = copy.copy(y_test)\n",
"\n",
"\n",
"polynomial_features= PolynomialFeatures(degree=25)\n",
"x_poly = polynomial_features.fit_transform(x)\n",
"x_poly_test = polynomial_features.fit_transform(xTest)\n",
"\n",
"model = LinearRegression()\n",
"model.fit(x_poly, y)\n",
"y_poly_train = model.predict(x_poly)\n",
"y_poly_test = model.predict(x_poly_test)\n",
"\n",
"\n",
"mse_train_poly = mean_squared_error(y,y_poly_train)\n",
"mse_test_poly = mean_squared_error(yTest,y_poly_test)\n",
"print('MSE on training set: ', mse_train_poly)\n",
"print('MSE on testing set: ', mse_test_poly)\n",
"y_poly_pred = model.predict(x_poly)\n",
"plt.figure(figsize = (12,5))\n",
"\n",
"plt.plot(x,y,'ob',label='train data')\n",
"\n",
"# sort the values of x before line plot\n",
"sort_axis = operator.itemgetter(0)\n",
"sorted_zip = sorted(zip(x,y_poly_train), key=sort_axis)\n",
"x, y_poly_train = zip(*sorted_zip)\n",
"plt.plot(x, y_poly_train, color='m',linewidth=2,label='polynomial model train')\n",
"plt.title(\"The Lorentz Equation: Polynomial Fit, $R^2$ score ={}\".format(round(r2_score(y,y_poly_pred),4)))\n",
"lorentz_labels()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Using a Neural Network"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Design the Network"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Model: \"LorentzModel\"\n",
"_________________________________________________________________\n",
"Layer (type) Output Shape Param # \n",
"=================================================================\n",
"dense (Dense) (None, 50) 100 \n",
"_________________________________________________________________\n",
"dense_1 (Dense) (None, 50) 2550 \n",
"_________________________________________________________________\n",
"dense_2 (Dense) (None, 1) 51 \n",
"=================================================================\n",
"Total params: 2,701\n",
"Trainable params: 2,701\n",
"Non-trainable params: 0\n",
"_________________________________________________________________\n"
]
}
],
"source": [
"model_1 = models.Sequential(name='LorentzModel')\n",
"\n",
"# hidden layer \n",
"model_1.add(layers.Dense(50, activation='tanh', input_shape=(1,)))\n",
"#second hidden layer\n",
"model_1.add(layers.Dense(50, activation='tanh'))\n",
"\n",
"# output layer, one neuron \n",
"model_1.add(layers.Dense(1, activation='linear'))\n",
"\n",
"model_1.summary()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Select a solver and train the NN"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"CPU times: user 35.4 s, sys: 1.91 s, total: 37.3 s\n",
"Wall time: 36.5 s\n"
]
}
],
"source": [
"%%time\n",
"\n",
"# optimizer = optimizers.SGD(lr=0.01, momentum=0.9)\n",
"optimizer = optimizers.Adam(lr=0.01) \n",
"\n",
"\n",
"model_1.compile(loss='MSE',optimizer=optimizer) \n",
"history_1 = model_1.fit(x_train, y_train,\n",
" validation_data=(x_test,y_test), \n",
" epochs=1000, batch_size= 32,\n",
" verbose=0) "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Plot the training and validation loss"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# Use the helper function\n",
"plot_loss(history_1, rolling = 30)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Visualize the model prediction"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# Use the helper function\n",
"plot_sets(lor_train, lor_test, NN_model = model_1, \n",
" title = \"Lorentz vanilla FFNN\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 2. Noisy data, underfitting and overfitting"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### In real-data always contain some noise\n",
"Hence, in a real experiment, the observations will follow a form of\n",
"$$ \\varepsilon(\\omega) = 1 - \\frac{\\omega_0^2}{\\omega_0^2-\\omega^2 +i\\omega\\Gamma} + \\epsilon,$$ \n",
"where, $\\epsilon$ is Gaussian (white) noise. \n",
"\n",
"Our goal is to discover the underlying law, namely the Lorentz model, by using neural networks.\n",
"\n",
"Read, split, and plot the data:"
]
},
{
"cell_type": "code",
"execution_count": 62,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"lor_set_n = pd.read_csv('../data/lorentz_noise_set2.csv')\n",
"\n",
"lor_train_n, lor_test_n = train_test_split(lor_set_n, \n",
" train_size=0.7, \n",
" random_state=109)\n",
"\n",
"x_train, y_train, x_test, y_test = reshape_and_extract_sets(lor_train_n, lor_test_n)\n",
"\n",
"plot_sets(lor_train_n, lor_test_n, title = \"Noisy Lorentz Data\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Discover the underlying function\n",
"\n",
"#### Define some hyperparameter"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [],
"source": [
"n_neurons = 50\n",
"optimizer = optimizers.Adam(lr=0.01) "
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Model: \"noiseLorentzModel\"\n",
"_________________________________________________________________\n",
"Layer (type) Output Shape Param # \n",
"=================================================================\n",
"dense_3 (Dense) (None, 50) 100 \n",
"_________________________________________________________________\n",
"dense_4 (Dense) (None, 50) 2550 \n",
"_________________________________________________________________\n",
"dense_5 (Dense) (None, 1) 51 \n",
"=================================================================\n",
"Total params: 2,701\n",
"Trainable params: 2,701\n",
"Non-trainable params: 0\n",
"_________________________________________________________________\n"
]
}
],
"source": [
"model_2 = models.Sequential(name='noiseLorentzModel')\n",
"\n",
"# first hidden layer \n",
"model_2.add(layers.Dense(n_neurons, activation='tanh',\n",
" kernel_initializer='random_normal', \n",
" bias_initializer='random_normal', \n",
" input_shape=(1,)))\n",
"# second hidden layer \n",
"model_2.add(layers.Dense(n_neurons, activation='tanh'))\n",
"\n",
"# output layer, one neuron \n",
"model_2.add(layers.Dense(1, activation='linear'))\n",
"\n",
"model_2.summary()"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"CPU times: user 18.8 s, sys: 1.01 s, total: 19.8 s\n",
"Wall time: 19.3 s\n"
]
}
],
"source": [
"%%time\n",
"model_2.compile(loss='MSE', optimizer=optimizer) \n",
"\n",
"history_2 = model_2.fit(x_train, y_train,\n",
" validation_data=(x_test,y_test), epochs=500, batch_size= 32, verbose=0) "
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plot_loss(history_2, rolling = 30)\n",
"plot_sets(lor_train_n, lor_test_n, NN_model = model_2, \n",
" title = \"Noisy Lorentz: Vanilla FFNN\"\n",
" )"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Underfitting\n",
"We use the same architecture but we train less"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"CPU times: user 4.1 s, sys: 181 ms, total: 4.28 s\n",
"Wall time: 4.2 s\n"
]
}
],
"source": [
"%%time\n",
"model_2_uf = models.Sequential(name='noiseLorentzModel_underFitting')\n",
"\n",
"# first hidden layer \n",
"model_2_uf.add(layers.Dense(n_neurons, activation='tanh', \n",
" kernel_initializer='random_normal', bias_initializer='random_normal', \n",
" input_shape=(1,)))\n",
"# second hidden layer \n",
"model_2_uf.add(layers.Dense(n_neurons, activation='tanh'))\n",
"\n",
"# output layer, one neuron \n",
"model_2_uf.add(layers.Dense(1, activation='linear'))\n",
"\n",
"model_2_uf.compile(loss='MSE',optimizer=optimizer) \n",
"history_2_uf = model_2_uf.fit(x_train, y_train,\n",
" validation_data=(x_test,y_test), epochs=80,\n",
" batch_size= 32, verbose=0) "
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plot_loss(history_2_uf)\n",
"\n",
"plot_sets(lor_train_n, lor_test_n, NN_model = model_2_uf,\n",
" title = \"Noisy Lorentz FFNN underfit\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Overfitting\n",
"Train for long time. \n",
"\n",
"Change a hyperparameter:"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [],
"source": [
"epochs_max = 2000"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [],
"source": [
"model_2_of = models.Sequential(name='noiseLorentzModel_overFitting')\n",
"\n",
"# first hidden layer \n",
"model_2_of.add(layers.Dense(n_neurons, activation='tanh',\n",
" kernel_initializer='random_normal', \n",
" bias_initializer='random_normal', \n",
" input_shape=(1,)))\n",
"# second hidden layer \n",
"model_2_of.add(layers.Dense(n_neurons, activation='tanh'))\n",
"\n",
"# output layer, one neuron \n",
"model_2_of.add(layers.Dense(1, activation='linear'))\n",
"\n",
"model_2_of.compile(loss='MSE', optimizer=optimizer) \n"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"CPU times: user 1min 10s, sys: 3.72 s, total: 1min 13s\n",
"Wall time: 1min 13s\n"
]
}
],
"source": [
"%%time\n",
"history_2_of = model_2_of.fit(x_train, y_train,\n",
" validation_data=(x_test,y_test), epochs=epochs_max, \n",
" batch_size= 32, verbose=0) "
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plot_loss(history_2_of, rolling = 30)\n",
"plot_sets(lor_train_n, lor_test_n, NN_model = model_2_of, title = \"Noisy Lorentz FFNN overfit\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Regularization\n",
"\n",
"The easiest way to avoid overfitting is the **early-stopping** method, namely stop the training when the validation loss is minimum. A more systematic method is given by **regularization**.\n",
"\n",
"*Early-stopping does not change the model* but *regularization does change the model* since we change the loss function.\n",
"\n",
" Two common regularization methods are the so-called $L_1$ and $L_2$. \n",
"- $L_1$ tries to minimize the number of network parameters and *reduces the model complexity*. In other words, it is trying to have as many zero parameters as it is possible. $L_1$ **wants the smallest number of parameters**. \n",
"- $L_2$ tries to minimize the value of all the parameters and gives a more stable network. So, it does not care about the number of the non-zero parameters but it cares about their values. $L_2$ **wants the smallest values of parameters**.\n",
"\n",
"\n",
"Warning! In the extreme limit of too large regularization coefficients both $L_1$ and $L_2$ lead to zero parameters. Over-regularization yields *underfitting*.\n",
"\n",
"## Dropout\n",
"\n",
"Another method of regularizing a neural network is called 'dropout'. In dropout, we randomly 'drop' some neurons of the neural network with probability *p* during training. This forces the network to distribute the weights across its neurons, preventing it from becoming overly dependent on any particular subset of neurons. "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Early stopping"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"CPU times: user 9.34 s, sys: 389 ms, total: 9.73 s\n",
"Wall time: 9.29 s\n"
]
}
],
"source": [
"%%time\n",
"\n",
"callback = callbacks.EarlyStopping(monitor='val_loss', patience=55)\n",
"model_2_estop = models.Sequential(name='noiseLorentzModel_earlyStopping')\n",
"\n",
"# first hidden layer \n",
"model_2_estop.add(layers.Dense(n_neurons, activation='tanh',\n",
" kernel_initializer='random_normal', \n",
" bias_initializer='random_normal', \n",
" input_shape=(1,)))\n",
"# second hidden layer \n",
"model_2_estop.add(layers.Dense(n_neurons, activation='tanh'))\n",
"\n",
"# output layer, one neuron \n",
"model_2_estop.add(layers.Dense(1, activation='linear'))\n",
"\n",
"model_2_estop.compile(loss='MSE',optimizer=optimizer) \n",
"\n",
"\n",
"history_2_estop = model_2_estop.fit(x_train, y_train,\n",
" validation_data=(x_test, y_test), epochs=epochs_max, callbacks = [callback],\n",
" batch_size= 32, verbose=0) \n",
"\n"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
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\n",
"text/plain": [
""
]
},
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"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plot_loss(history_2_estop, rolling = 30)\n",
"plot_sets(lor_train_n, lor_test_n, NN_model = model_2_estop, title = \"Noisy Lorentz FFNN early stoping\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### $L_1$ Regularizer"
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {},
"outputs": [],
"source": [
"kernel_weight = 0.005\n",
"bias_weight = 0.005\n",
"\n",
"model_2_l1 = models.Sequential(name='noiseLorentzModel_l1')\n",
"# first hidden layer \n",
"model_2_l1.add(layers.Dense(n_neurons, activation='tanh', input_shape=(1,),\n",
" kernel_initializer='random_normal', \n",
" bias_initializer='random_normal', \n",
" kernel_regularizer=regularizers.l1(kernel_weight),\n",
" bias_regularizer=regularizers.l1(bias_weight) ))\n",
"\n",
"# second hidden layer \n",
"model_2_l1.add(layers.Dense(n_neurons, activation='tanh', \n",
" kernel_regularizer= regularizers.l1(kernel_weight)))\n",
"\n",
"# output layer, one neuron \n",
"model_2_l1.add(layers.Dense(1, activation='linear'))\n"
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"CPU times: user 1min 14s, sys: 3.97 s, total: 1min 18s\n",
"Wall time: 1min 16s\n"
]
}
],
"source": [
"%%time\n",
"model_2_l1.compile(loss='MSE',optimizer=optimizer) \n",
"\n",
"history_2_l1 = model_2_l1.fit(x_train, y_train,\n",
" validation_data=(x_test,y_test), epochs=epochs_max, batch_size= 32, verbose=0) "
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plot_loss(history_2_l1, rolling = 30)\n",
"l1_args = {\"NN_model\" : model_2_l1, \n",
" \"title\" : \"Noisy Lorentz FFNN L1 regularization\"}\n",
"plot_sets(lor_train_n, lor_test_n, **l1_args)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### $L_2$ Regularizer"
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {},
"outputs": [],
"source": [
"kernel_weight = 0.005\n",
"bias_weight = 0.005\n",
"\n",
"model_2_l2 = models.Sequential(name='noiseLorentzModel_l2')\n",
"# first hidden layer \n",
"model_2_l2.add(layers.Dense(n_neurons, activation='tanh', input_shape=(1,),\n",
" kernel_initializer='random_normal', bias_initializer='random_normal', \n",
" kernel_regularizer=regularizers.l2(kernel_weight),\n",
" bias_regularizer=regularizers.l2(bias_weight) ))\n",
"\n",
"# second hidden layer \n",
"model_2_l2.add(layers.Dense(n_neurons, activation='tanh', \n",
" kernel_regularizer= regularizers.l2(kernel_weight)))\n",
"\n",
"# output layer, one neuron \n",
"model_2_l2.add(layers.Dense(1, activation='linear'))"
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"CPU times: user 1min 16s, sys: 4.27 s, total: 1min 20s\n",
"Wall time: 1min 20s\n"
]
}
],
"source": [
"%%time\n",
"\n",
"model_2_l2.compile(loss='MSE',optimizer=optimizer) \n",
"\n",
"history_2_l2 = model_2_l2.fit(x_train, y_train, \n",
" validation_data=(x_test,y_test), epochs=epochs_max, batch_size= 32, verbose=0) "
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plot_loss(history_2_l2, rolling = 30)\n",
"plot_sets(lor_train_n, lor_test_n, NN_model = model_2_l2, title = \"Noisy Lorentz FFNN L2 regularization\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Regularizing with Dropout\n",
"\n"
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {},
"outputs": [],
"source": [
"kernel_weight = 0.005\n",
"bias_weight = 0.005\n",
"\n",
"model_drop = models.Sequential(name='noiseLorentzModel_drop')\n",
"\n",
"\n",
"model_drop.add(layers.Dense(n_neurons, activation='tanh', input_shape=(1,),\n",
" kernel_initializer='random_normal', bias_initializer='random_normal',\n",
" kernel_regularizer=regularizers.l1(kernel_weight),\n",
" bias_regularizer=regularizers.l1(bias_weight) \n",
" ))\n",
"# dropout for first hidden layer\n",
"model_drop.add(layers.Dropout(0.3))\n",
"# hidden layer \n",
"model_drop.add(layers.Dense(n_neurons, activation='tanh', \n",
" kernel_regularizer=regularizers.l1(kernel_weight)\n",
" ))\n",
" \n",
"\n",
"# output layer, one neuron \n",
"model_drop.add(layers.Dense(1, activation='linear'))\n"
]
},
{
"cell_type": "code",
"execution_count": 32,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"CPU times: user 1min 21s, sys: 4.39 s, total: 1min 26s\n",
"Wall time: 1min 26s\n"
]
}
],
"source": [
"%%time\n",
"model_drop.compile(loss='MSE',optimizer=optimizer) \n",
"\n",
"history_drop = model_drop.fit(x_train, y_train,\n",
" validation_data=(x_test,y_test), epochs=epochs_max, batch_size= 32, verbose=0) "
]
},
{
"cell_type": "code",
"execution_count": 33,
"metadata": {
"scrolled": true
},
"outputs": [
{
"data": {
"image/png": 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OF+V1LZTXeQfqASaDR226nlGPCvH3rqe2Nen14laPBa7mBL3HuLEfA9f4yWApAocVHC20FO4j1zSO3PJ6KuttPk+JDvVnTJyZ0XGhvSo3GR1nxmgw8M8jZWgaNFgdelA+JZGIYP8zDyCEEEIMghUrVrB+/XqvgHz9+vU888wzZzw3KSnJZzDeU8899xx33HFHe0D+j3/8o9djiTOTgHwICzQZSQwPIjHcu7Vgs81JdZONmraMepOdmkYbNofvQL3F7qLUYqW0Qw12oL+RyGATccYmEi17MBsdBAf44W80QPRofROf/q5VN5pwJmZSlfMppRYrlQ1lFEUasPp7f0oR6G9kdKxekhIdGtDnpx0RE8LVkxLYklOG06XR1OLUy1emJPbL+EIIIUR/W7p0KU888QQtLS0EBASQn59PcXExmZmZLFiwgJqaGux2O08//TSLFy/2Ojc/P5/rr7+eQ4cO0dzczKpVq8jJyWHChAk0Nze3P+7+++9n586dNDc3s3TpUp566il+85vfUFxczOWXX05MTAxbt24lLS2NXbt2ERMTw69+9SvWrl0LwD333MN3v/td8vPzueaaa5gzZw5ffvklycnJ/O1vfyMo6AztkQUgAfl5KcjfSLJ/EMkR3j/kjS0Odza9Sc+mVzfacHTRFtBqc1JXV0SQ5QANml4ioilFQ3Q6JuKJbK4mMsREVLA/EcH+fW4bWF5vJbesgRMVDiIrAwmxWgCIrTtMQfRsDEYjadHBjI03kxwR1O+tIFOjglk0OYHNh0txODWsdhd/P1DCNZMTuqxDF0IIIQA42Pts8xlNWerzcHR0NDNmzGDTpk0sXryY9evXs2zZMoKCgnj33XcJCwujsrKSWbNmceONN3bZ8OF3v/sdwcHBHDhwgAMHDpCVldV+309/+lOioqJwOp0sWLCAAwcO8PDDD/OrX/2KrVu3EhMT4zXW7t27ee211/j666/RNI2ZM2cyb948IiMjyc3N5c9//jMvv/wyt912G++88w533HFH/71PFzAJyC8gIQF+hAT4kdqhJL7eam8veWkL1Gsa7YTVHSeq4Vj745wGE2URU2n2i4aaZopqmr3GCQ30IzLYRERryUtbnXp3m+40eOyeaWmytx+vME8kyFaFweUgxr+FsdFVJI3LHvC2hEkRQVw7JZFNh0qxOVzYHC4+PFjCoskJnT6JEEIIIQZbW9lKW0C+du1aNE3j8ccfZ9u2bRgMBoqKiigrKyMhIcHnGNu2bePhhx8GID09nfT09Pb7NmzYwEsvvYTD4aCkpIScnByv+zv64osvuPnmmwkJ0deWLVmyhM8//5wbb7yRESNGkJmZCcC0adPIz8/vp3fhwicB+UXAHGjCHGgiNUqvA8PlRCvcRXNFFY2R4TRaHdS5AjkZOpUWuz/46GoCeu11g9VBQbV3oG4O9HO3ZgzRA/baJhvHyho6BfVtgkJCiY/OZpQtl+AAP6AQnBPAFNafL92n+LDA1qC8BKvdhcOpsfFgKVdOjHe/RwPM5nBR3WgjOMAoi0uFEEJ06aabbuL73/8+e/bsobm5maysLF5//XUqKirYvXs3JpOJtLQ0rFbfrYHb+Mqenzx5kmeffZadO3cSGRnJypUrzziOpnW9GV9AgLsE1Gg0epXGiO5JQH6xsVvh9JeopmqC/f0I9vcjNj4Whl1Cup8/LpdGndVOjcci0upGG5ZmO139P1hvdVBvdXC6qqnbp/YzKkbEhDA23kxieCCKVMizQFO13m6xaDeMnN//des+xJoDuD49iQ8PltBsc+J0aXyUU8aC8XGkxfRDR5kuOF0aOcV17Dld017zbzIqokIDiA7RP3mIDtUvbrr75EEIIcQ51kVZyUALDQ1l/vz5rF69mhUrVgBgsViIi4vDZDKxdetWTp061e0Yc+fOZd26dVx++eUcOnSIAwcOAFBXV0dISAjh4eGUlZWxceNG5s+fD4DZbKa+vr5TycrcuXNZuXIljz76KJqm8e677/LHP/6x/1/4RUYC8otJcy2c+hfYPa5Yo0ZA4lS9Tzitu4a21oyP8AhMnS6Numa7x2JSOzVNNuq6CdTbtO2emRYT0jnITJ4GuVv075uqoDpPb414DkSG+HNDRhL/OFhCg9WBy6Xx8ZEy5o+LY3RcaL8/36mqRr7Oq8bSbPc6bndqlFmsXhsfKQVhQSZ3kB4SQFRoP/WaF0IIcV5ZsWIFS5YsYf369QDcfvvt3HDDDWRnZ5OZmcn48eO7Pf/+++9n1apVpKenk5mZyYwZMwDIyMhg6tSpTJo0iZEjRzJ79uz2c7797W9zzTXXkJiYyNatW9uPZ2VlsXLlyvYx7rnnHqZOnSrlKX2kuvvo4WKQnZ2t7dq1a7CnMfDqSqBgO7g8+nsnZkDMmD4N63C6sDTb27u9tGXVTUYDI2JCOu2e6VPpIaj4Rv/e4AdjrwbTuavnrrfa+cfBEuqaHe3H5o6NZVyCuV/Gr260sT2vqlP5TnCAEadLo6WLNpa+BJoMRIUEtGfS22r5e9KTXQghxNk5cuQIEyZMGOxpiPOUr58fpdRuTdM6NYCXdNvFoDIXSva7bxv89P7iYYl9HtrPaCA6NKBvrQPjJoClEGwN4HLocx02q89z6ylzoIkbMpL48EAJta0LT7cdq8DudDE5ObzX41rtTnafquFISZ3Xpwj+fgayhkUyMSkMo0HR0OKgusFGVWML1Y02qhptXgtgvcd0UVzbTHGtO7hXCiKC/Yn2CNKjQwJ61bNdCCGEEOeeBOQXMpcLivdCzUn3MVOwvvNmYO8DzX5nMEJyFpzcpt+2FOq7hYYlnbMpBPv7tZevVDXoGxR9daIKh0sjM/XsdiXzVScOeuA8PiGM7LRIr24yoQF+hAb4MSzavaDU7nRR02SjqsHWHqRXN7Rg99HCUtP0XU5rGm0cL3cfD/I3tpe8xJgDSI0M7nPrSiGEEEL0PwnIL1QOG5z+Chor3MeCo2DYpWAagj23Q+MgMg1q8vXbxXshJA6M5+5HNNBk5Lp0vSVi226nO09WY3e6mJ4WdYazdaermtieV9WpTjw5MohZI6OJCunZzqAmo4E4cyBxZve/laZp1Lc4WoP0lvZgvd7q8DlGs81Joa2ZwtZSGZNRMTbBzKSkcMKDpLOLEEIIMVRIQH4haqmH/H/pJSBtIobpCygNQ7iMIWGKnhl32vSFp2WHICnznE4hwM/ItVMS2Xy4lJJafZHlvtO1OJwal4yK7vK8mkYbX/moEw8PMjFzZBTDo/veuUUpRVigibBAk9eC27YWiu0lL62BurND+0q7U+NwUR2Hi+pIjQpmUlLYOWvzKIQQQoiuSUB+oWko1zPjTo8MbfwkvU57qPML0BeaFu7Ub1cd1y8kgnuWne4vJqOBRZMS+PhIWXvP9UNFFhwuF3NGx3j1cu1pnfhA8vczkBAeSEK4dzbd0mzXS10abZysbPSqSy+obqKguonwYBOTksIYG2/u1zaLNocLo0HJYlMhhBCiByQgv5BUndBLPdooA6TOgPCUwZvT2YocDrWn9AsLgKI9MHrBOelN7snPaODKiQl88k05+ZWNAHxTUo/DqTFvbCwanFWd+LmmlLt95ahYyB4eSWFNM4eLLV4bO1ma7Hx5vIqdJ6sZlxDGxKSwPpez7C+oZdepGkxGxWVjYr2y+QOhratPiLSEFEIIcZ6SFV4XAk2D4n3ewbhfoL7JzvkUjLdJytIvJgCstXqXmEFgNCgWjI9jdLy7J/nx8gY2Hy7lnd2FbM+r8grGkyKCWJKVwpwxMYMajPuilCI1KphFkxO5LTuVSclhmIzuixy7U+NQkYUNOwvYfLiUqoaWs34Om8PFlpwydpysxtXazvHjnDJ2n6rudme3vjhUZOEvuwr5y64CqhttA/IcQggxWKqqqsjMzCQzM5OEhASSk5Pbb9tsPfudt2rVKo4ePdrj53zllVf47ne/29sp94s5c+awb98+AFJSUqitrcXpdHLZZZcN6rwG0kWbUlJK3QDcMHr06MGeSt847VDwNdSXuo8FRuidVM5hL+9+FRCql9mUHtRvlx3SO64E9P9mPWdiMCjmj43FZDBwpKQOoH2RZJv+rBM/F8KDTVw6Kobs4VEcK6snp7jOaxHq6aomTlc1MSY+lOy0qB5tRlTTaGPLkTKf7Rr3nKqlqsHG/HFx/drlpaK+he15VYB+QbH3dA0LJsT32/hCCDHYoqOj2wPTJ598ktDQUH7wgx94PUbTNDRNw2Dw/fv1tddeG/B59obT6cRo7Hnyymg08vnnnw/gjAbXRRuQa5r2AfBBdnb2vYM9l16zNeqLN1vq3MfCkiFl+jntTjIgosdA7WmwWkBrbd84YnCujJVSzBkTg9GgOFRkaT9+LuvEB4K/n4HJyeFMSgrzWc6SW9ZAXkUjU1LCSU8JJ8DP9y/OExUNbDtWgcOjJePEpDAszfb2Ra6nqpr4274irpqU0C8dXhxOF1uPlnvV7Z+sbKTOaifsTBtRCSHEWUp79MMBHT//59ed1eOPHz/OTTfdxJw5c/j666/5+9//zlNPPcWePXtobm5m2bJl/PjHPwb0bPMLL7zA5MmTiYmJ4Tvf+Q4bN24kODiYv/3tb8TFxXX5PCdPnmT16tVUVVURHx/Pa6+9RkpKCuvXr+fpp5/GaDQSFRXF1q1bOXjwIKtXr8Zut+NyuXjvvfcYOXJk+1gOh4OYmBgefPBBPvroI55//nkaGhp45JFHcDqdzJo1izVr1uDv77sbWdv5tbW1fPzxx/zsZz8jPDycw4cPM3PmTP7whz8A8P777/PII48QFxdHZmYmBQUFvPfee15jnThxgpUrV9LQ0IDBYODFF19k5syZ3HLLLdx3331cddVVANxxxx3ceuutLFy4kLvuuovjx48zceJEcnNzeeWVV8jM7L/GE1Kycr5qrILj//QOxmPH6RvqnO/BOIDBoHeFadNQpgfog+iSUdHMGhlNeLCJiUlhLJueypSU8PMyGPfkWc5yy7QUr84rTpfGvtO1bNhZwKEii1fnFpdL46sTVXxypLw9GPczKi4fH8vs0TEsmpTgtbFSbZOd9/YWUVDd1Oc57zhZ3Skbr2lwsNDSxRlCCHFhycnJ4e6772bv3r0kJyfz85//nF27drF//362bNlCTk5Op3MsFgvz5s1j//79XHLJJaxdu7bb53jggQe45557OHDgALfeemt7KctTTz3FP//5T/bv38+7774LwIsvvsgPfvAD9u3bx86dO0lK6ryXiMViISsrix07dpCRkcHq1at55513OHjwIE1NTbz00ks9fv179uxhzZo15OTkcOTIEbZv305TUxMPPPAAH330Edu2baO0tNTnuYmJiWzZsoW9e/eybt06Hn74YQCWL1/OW2+9BYDVauWzzz5j0aJF/Pa3vyUhIYH9+/fz6KOPsnfvXp/j9oUE5OejmlNw8lO9PSDoKwlTsvW2ged48eOACo6C6FHu28X79P7qg2hKSji3Zacye/TQqxPvD1Eh/iyanMC16YnEmN1ZCqvdxVcnqnh7dwEnKxtpsjn48GCJ1ycGYUF+LM5MZnScGdDLfS4ZFc38cbEYWi9abA4Xmw+X9ilwLqhu4nCx+0J0dJy7lOloaT1Wu7PXYw9ldqfrzA8SQlw0Ro0axfTp09tv//nPfyYrK4usrCyOHDniMyAPCgrimmuuAWDatGnk5+d3+xxff/01y5cvB+Cuu+5qLxmZPXs2d911F6+88goul/676dJLL+Xpp5/mF7/4BQUFBQQGdt7zxN/fn5tvvhnQt5UfM2YMo0aNah9/27ZtPX79s2bNIjExEaPRSGZmJvn5+eTk5DBu3DiGDx+OUooVK1b4PLelpYW7776byZMns3z58vb36rrrrmPLli3Y7XY+/PBDrrjiCgICAvjiiy/a34eMjAwmTZrU43n2lATk5xNNg9JDelvAts/qjf4wYp6+qc6FKH6yuxbeaYPSA4M3F02D8m8g92P9vxew5IggbspM5vLxsYQGuj9xqWt28HFOGX/eUUCpxdp+fFh0MDdNTfa58dGYeDM3ZCQSHKBfwGgabM+r4q2dp9l8uJTteVUcKamjxNJMk833JkdtrHYnnx1zb3aVGhXM5es0Z/YAACAASURBVOPjiA7Vn9fp0ryC9QuF1e5k0XPbeGbzNzS2dP8eCSEuDiEh7nVLubm5PP/883zyySccOHCARYsWYbVaO53jWQ5iNBpxOHr3++Tll1/mqaeeIj8/n4yMDGpqarjzzjt59913CQgI4Morr/QZXAcFBbW3Du7rYv+AgID279teS0/H/OUvf0lqaioHDx5kx44dtLTojQyCg4OZPXs2W7Zs4a233moPwgeqMYGnC6C24SLhckLBDqgrch8LCIPhlw7KYsdzxmiCpKlw6kv9dk2+3ps8tOuatwFht+qLZ9t2PrXW6jX8yVkX1qcSHpRSjI4zkxYdQk5JHXtP17Z3lXG1lq4oBdOGR5KZGuHVn72jOHMgN09NZktOWfsuqHXNDuqaO/8x8PczkBQRxIiYEIZFBXstBP0it5Jmm54BDzQZmDc2FoD0lAi2fqO3yswptpCeEt6vfdUH26tfnORERSNrtp5gw65Cfnj1OG7JSmn/5EEIMbDOtsb7XKurq8NsNhMWFkZJSQmbN29m0aJFfR531qxZbNiwgRUrVvCnP/2JuXPnApCXl8esWbOYOXMm77//PkVFRdTU1DB69Gj+4z/+g9zcXA4cOND+eF/aarHz8vIYOXIkf/rTn5g3b16f5jtp0iSOHj1KQUEBKSkp7eUnHVksFkaPHo1SijfeeMMr4F6+fDmvvvoqO3bsYN26dYBeh79hwwYuu+wyDh486PPTh766cP5iXcjszZC31TsYD42HUZdf2MF4m7AkfbFqm6I9+gXKudJQDse3uIPxNjUn4fR2cF3YpQR+RgPpKREsm57K5OTw9uuPQJOBRZMTmDossttgvE2wvx/XpycxMSms22sYm8NFfmUjW78p54/bT/HR4VKOl+vdYE629oQHmDs2liB/Pes+MiakPZNvtbs4Vlbfo9fW0OLgeHk9LY6hW+ZSXmdlzdbj7bcr6lt45O0DLF7zL3bmVw/izIQQQ0VWVhYTJ05k8uTJ3HvvvcyePbtfxn3hhRd46aWXSE9P56233uLXv/41AN/73veYMmUKU6ZMYeHChUyePJk333yTSZMmkZmZSV5eHnfccUe3YwcHB/Pqq6+yZMkSpkyZQkBAAPfe27c+G8HBwbzwwgssXLiQyy67jKSkJMLDwzs97sEHH+SVV15h1qxZnDp1yivbvmjRIv75z3+yaNEiTCa9ScBDDz1EUVER6enp/PKXv2Ty5Mnt465ataq9E05fqHORhh/KsrOztV27dg32NLrWXKN3UnF4fPQUPQoSMy/YzKxP9mY4thlcrRnV2PGQMHlgn1PToPwIlHe4Eg6OgiaPQCg0HoZdcmEspu2BequdsjoryRHB7QHx2bI7XVia7Via7dQ22alrtlPbbMPSZMfuPPPvpPGJZi4bE+t17FCRha9O6G0QzYF+3Jad2m0Gucnm4J09RVhtTsyBflyfkdSjFo/n2o6T1fz7m3uoqPfdG/769ET+a9F4r8W4Qoj+ceTIESZMOA92uhbtGhoaCA0NRdM07rvvPqZMmcJDDz3UpzEdDgcOh4PAwEByc3O56qqryM3Nxc+v+78Zvn5+lFK7NU3L7vjYoffXR7hZCvUyFc0jA5s01Xuh48XCFKQvWm3b/KjiG4hIhcDOV779omOJCoBfAKTM0MtlSvZDVWvWsqEM8j+H4bPBz3e7pguJOdCEuY+tBU1GAzGhAcSEBnS6r7bJRl5lIycrGn1u9hMW5MeskdGdjo9LMLPndA0tdhf1VgcnqxoZFdv1J0jbjlVibS1/qbc6+PBAMdenJw25HT9njIhi6w/m87tPj/Py5ye9NqMC+PuBEjYfLuWmzGTumzfKa5GrEEJcbH73u9+xbt06WlpayM7O7nPWHfQgf8GCBe116r///e/PGIyfLcmQD9UMefk3+oY4bYwmSJ0F5ot44xNNg7xPoUnPghIcBSMv7/9PChoqoGA7ODwykiExkDrTe7Olshzv7HlgBKTNAVPnleWidyxNdvIqG8ivaqSy3oa/n4FrpiQQZ/b9Hu/Kr2bv6VoAYsz+3DzV906135TW8fmxyk7Hw4NMXJeeOOSC8jYF1U38fOM3fHiwxOf9SsHds0fw6DXj8buAauiFGCySIRd9cTYZcvmNPdS4XFCw0zsY9w/VA8+LORgHPdrwXETZVA3Vef03fluJysnPvIPx2PF6J5uOO5/GT4TEDPdta61+wWDre59toQsPNjF1WCQ3T03hjlnDWT4jtctgHGBSkrsvfGW9jeLa5k6PqbPa20tbAJIigtp/pCzNdj48UNJltxdN0zhaWs/Wo+WU1XXuYDDQUqOCWXN7Fm99exaTksJ8zA9e+eIkd63d4fPTBSGEEEOTBORDiaNFDwZrT7mPhcToizcDO//xvSgFhusBcpvSg3p9eV/ZrXrZSdlh9zGjP6Rdpteqd5WFjxnjvYGRrUFfgGu98FrvDbYgf2OXu4V6PmZsvLn99mfHKrwWgmqaxmdH3buKhgebuGpSPAsnxHsF5R/sL+ZISZ1XT/Oi2mb+uqeIbccqOF7WwEeHSzuVj5wrM0dG8/6Dc/jF0nTSojvXjn95oorrfvM5b+8u9NrMSQghxNAkJStDpWTFatEXb9o9squRI/SacYNcN3lxOSF3ix78gt6BZfglvR+voUKvF/dcOOurRKU7lkJ9DK/+8JdBUGTv5yV6xdJs5y+7CvD81ZYQHsiskdGUWqxsz9Oz40rBjZlJ7Rn3k5WN/PNImdd5Suk92ZVSPncYnZYWSdawrv+NaxptHCmtIzUyeMAWXTpdGpsOlfLTD3MotnTO2o+LN/OzW6Z0O08hhG9SsiL6QkpWzjf1pXBiq3cwnpAOKdMkGPfFYPTOStcVgaWo68d3xatExSOQ6apEpTvhKTB8jj430DcxyvsMGjvXKYuBFR5kYv64OK/+5aUWK+/tLeLrk+5SlanDIrzKX0bEhLBgQnx7yQvoPyKFNc1ewbjnhyUHCy1d7gxaXm/l/f3FHC6qY/Ph0gErITEaFNelJ/L+Q3OYkRbV6f6jZfXc+n9fsWbr8fb+8UIIIYYWifYGW+VxyP/C3c7PYNQ3+4kdO7jzGupCY/VPENqU7AOnvefnO1r0971Ticqc7ktUumOOh7S5+gJc0P9NT27TL7jEOTU6LpRl01OZlOzd87wt+x1j9mdqaueM8YiYEJZNT+WSUdHEhXXuADMmXh83PEj/N7Y5XBwssnR6XHm9lY0H3SUtmgZf51V1elx/igkN4E/3zOS+eSMxGb1/fp0ujWc2H2X5y9s5Xt4woPMQQvSf+fPns3nzZq9jzz33HA888EC354WG+u621NXxc+X111/nwQcfBODJJ5/k2WefBeDHP/4xH3/88WBObdBJQD5YXC4o2q0Hkm1MQfrizbCkwZvX+SRhit6KEPQ6cs+FsN1prNRLXhrK3MeCo2H0QjAn9G1OIdF6dr1tXpoLTv0Lagv6Nm5fuFzQUg8XWXlaoMnIpaNiWDothWEeddYGg2L+2Lgue5SHBPgxOTmcxZnJrJg5jFkjo5mYFMZNU5OZPy4Oc6CJrOHuYP5QkaV991DoHIy36ZhpHwj+fgYeu2YCn/znfG7K7Px7ZMfJaq55fhu/+uhol5l9IcTQsWLFCtavX+91bP369axYsWKQZnRmDofvRfHd+clPfsLChQsHYDbnj6HZ2+tcctqhzncLsQFVecy7x3VwFAy7VFrmnQ0/f73LScEO/XbVCYgYrr+XvmgaVBztHLjHjoP4XmbFfQmKgJHz4eTnehmSpun15S47RI3sn+foqboSKN6jX7CYgvTSmvDUrt+jC1BEsD9XT0qguFYPiEfEhhAZ0rN+8aEBfkxJ6dzrflRsCPsK/KlptOFwauwrqCU7LZKc4jr2nq5p39wowGQgzhxAQbW+8Hh7XhXJEUEDvuV9alQwzy2fyvXpSTzy9n5qmtyfHtmdGr/55DgfHCjh6ZsmM3t0zIDORYgLwpMDtOdF+/idP2kDWLp0KU888QQtLS0EBASQn59PcXExc+bMoaGhgcWLF1NTU4Pdbufpp59m8eLFPXo6TdP44Q9/yMaNG1FK8cQTT7Bs2TJKSkpYtmwZdXV1OBwOfve733HppZdy9913s2vXLpRSrF69mu9973te461cuZKoqCj27t1LVlYWP/rRj1i9ejV5eXkEBwe37/bZlZUrV3L99dezdOlS0tLS+Na3vsUHH3yA3W7nL3/5C+PHj6eiooJ/+7d/o6qqiunTp7Np0yZ2795NTIz377D777+fnTt30tzczNKlS3nqqafYuHEjr732Ghs2bADg008/5Ze//CUffPABr776Kv/v//0/kpKSGDNmDAEBAbzwwgs9eh/7kwTktgY9gzmYwlMhJdtdfyx6LmIY1JxyZ7uLdsOoBZ1r7x0teuDumRU3+kPqjL5nxX0JMOvdcU5u07PTAEV79AvA2HH9/3wd2a365kUWj8y8vRkqc/Uv/xB3cB4UMfDzGQKSIoJIijiLdQHdUEqRPTySLTn6z1NOSR0nKhq8MuUBJgPXTUkkyN/IWzsLcDg1apvsHC2rZ0LiuematHBiPBv/Yy4/fOcA245VeN13srKR21/5mgfmj+I/rxrnVTsvhBgaoqOjmTFjBps2bWLx4sWsX7+eZcuWoZQiMDCQd999l7CwMCorK5k1axY33ngjqgfJpb/+9a/s27eP/fv3U1lZyfTp05k7dy5vvvkmV199NT/60Y9wOp00NTWxb98+ioqKOHRIT2bV1tb6HPPYsWN8/PHHGI1GHnroIaZOncp7773HJ598wl133XVW28vHxMSwZ88eXnzxRZ599lleeeUVnnrqKa644goee+wxNm3axEsvveTz3J/+9KdERUXhdDpZsGABBw4c4Morr+S+++6jsbGRkJAQ3nrrLZYtW0ZxcTH/+7//y549ezCbzVxxxRVkZGT4HHegScnKYIubCMNmSjDeF0lTQbX+KFst+qcPnhor4fjHHUpUovqnRKU7piA9U+4Z8JYehNIeltb0Vk0+5G72DsY7sjXqnxYc/xiObdY3OZJWjWclLSaEWLNemuRyaV7BeFiQH9dNSSQ6NIBgfz8yU90/A7tO1XTbLrHeaudQkYV661msiehGQnggb6yazm9WTPW5M+qLn55g9es7Ka8/933VhRBn5lm24lmuomkajz/+OOnp6SxcuJCioiLKysq6G6rdF198wYoVKzAajcTHxzNv3jx27tzJ9OnTee2113jyySc5ePAgZrOZkSNHkpeXx0MPPcSmTZsIC/OdULj11lsxGo3t4995550AXHHFFVRVVWGx+P4UwJclS5YAMG3aNPLz89vHXL58OQCLFi0iMtJ356gNGzaQlZXF1KlTOXz4MDk5Ofj5+bFo0SI++OADHA4HH374IYsXL2bHjh3MmzePqKgoTCYTt956a4/n2N8kQ24wQeggbLhj8IOoEQMbEF4sAkL1kpPSA/rt8hw9++sfogfnpQe9Hx8zVn/8uehg4xeg15Sf+pe740rFN3oXlqSp/bvLaEuDXp7SUO59PGK4Xm9vrdXbM1oK3YuIQc/gl7fuOhoYri+WjR7V/zugXoCmDY9k0yH3ot3gACNZwyIZF2/2KkuZnBzOkZJ6GlscWG1OPj1azsIJ8Z1KVyxNdt7bV4TN4SKnpI5bp6X0KNt1JkopbsxIYt7YWH6x6Rve3HHaa0nBZ8cquOLZz/juwjGsvDRNdvkUYgi56aab+P73v8+ePXtobm4mKysLgHXr1lFRUcHu3bsxmUykpaVhtfbswrqrltdz585l27ZtfPjhh9x555088sgj3HXXXezfv5/NmzezZs0aNmzYwNq1azudGxIS0u34Z/O7LCBATx4Yjcb2mvSetOk+efIkzz77LDt37iQyMpKVK1e2vyfLli1jzZo1REVFMX36dMxmc4/GPFcu2oBcKXUDcMPo0aP1ftHi/BYzBmpP60Gn5oKiXfpFj2eHE6MJUqaf+0WzRpO+wdDpr9zzqc7Tg+Lk7L5fGGiaXoZSdkh/7W1MwXp7yLYdXk0J+gVgUhY0lOoLTeuL9b7ubawWfaGxvdF7F9L+5HJBUyUERujrAM5jqVHBzBgRRWFNM6lRQUxMDPMZzJqMBmaMiGLrN/rF0qmqJj7LrWD+2Nj2P1ItDiebc9yLQS1NdootVpL7qcwG9JaQP715Coszk/n3N/dQUe/ekbahxcHTHx5hW24lv7s9i5CAi/bPgxCddVHjfS6EhoYyf/58Vq9e7bWY02KxEBcXh8lkYuvWrZw6daqbUbzNnTuX3//+93zrW9+iurqabdu28cwzz3Dq1CmSk5O59957aWxsZM+ePVx77bX4+/tzyy23MGrUKFauXNmj8detW8d///d/8+mnnxITE9NlZr2n5syZw4YNG/iv//ovPvroI2pqajo9pq6ujpCQEMLDwykrK2Pjxo3Mnz8f0DvW3H333bz88sssW7YMgBkzZvC9732PmpoazGYz77zzDlOmTOnTPHvrov2Nq2naB8AH2dnZ9w72XEQ/UAqSs+DEJ/rtjv2/g6MgdRb4D8zmLGdkMOqLdgt3uktJak/r3weE6xsIBUXo/w2M6HmQ3lyj1803d6jpixkDcZPA6ON/cYNBvygJS9KD8bpiPWteX+zuxFKZq2+4FNLPC/40DfK36f8+geG+6/3PMxmpEWSknrkOf3RcKFUNLRwo1P+wHy9rIMBo4JJR0QBs/aYcS5N3mcrx8oZ+DcjbzBgRxd8fmsMD6/aw+5T3H7VtxypY9tJXvHLXdBLCZZG5EEPBihUrWLJkiVfHldtvv50bbriB7OxsMjMzGT9+fDcjeLv55pv56quvyMjIQCnFL37xCxISEnjjjTd45plnMJlMhIaG8oc//IGioiJWrVqFy6UnC372s5+dcfwnn3ySVatWkZ6eTnBwMG+88cbZv+gO/ud//ocVK1bw1ltvMW/ePBITEzGbzV6PycjIYOrUqUyaNImRI0cye/bs9vuMRiPXX389r7/+evt8kpOTefzxx5k5cyZJSUlMnDiR8HB9Ae/777/Prl27+MlPftLnufeE7NQ5VHbqFP2jeB9UHfc+FjMG4qcMjcBP0/SykuqT3T8uMKJDkB7uvc7A5dRLTCqOdjgvXM+K96aLitOuZ/HbSl78Q2D0lb6D+t6qzNUXm7ZJnqaXbl1EPs+t4JuS+vbbSukZdF915Saj4vZZwzENUAmJw+nij9tP8astx6i3ercqMwf48di1E1g+PXXAu8IIMVTJTp1DR0tLC0ajET8/P7766ivuv//+s1oo2pWGhgZCQ0NxOBzcfPPNrF69mptvvrkfZnx2O3VetBlycYGKnwz1JfqixcEqUemOUnoQ6m+G6hP6PH2x1upfnsnLwNZMekCYXvJi89jgRSk9Ix4ztvcXHkaTXkKT+5FeTmNr1Ovyk7N6N15HtsbO9fwVRyEyrff16i0NenmSX5D+vvbnxcMAmTM6BpvDRV6F/m+vaXgF4xmpEeRXNmJptmN3apyqamJ03MBs5uFnNLBq9gium5LIPX/Y1Z69B6hvcfD4uwf55Jtyfr0sA3OgaUDmIIQQPXH69Gluu+02XC4X/v7+vPzyy/0y7pNPPsnHH3+M1Wrlqquu4qabbuqXcc+WZMglQ37hsVv1jiqh8UO/r7vDpgfezTWtX7XegXZPhMTowWiA+cyP7YmaU3ppTZu0y9x16H1x8nPvTjdtUmdCRGovx9zmzuhHjey/i4cB5nRpfH2yiuPlDbTY3cH4iJgQFkyIY29BLbvz9aux1KggFk1O7HS+3eki0NR/3ZkaWxw8sG4Pn3VojwgwMjaEl+7MHrALAyGGKsmQi76QDLm4uJkCIXL4YM+iZ/z8ITRO/2rTHqR7BOq+gnSDHySm611R+rMjSuRwqCvSa8tBz0CPuUrPoPdWbYF3MG5O1D/JAL3rTG8Ccmudd0eZ6jy9L31/170PAKNBcemoGC4dFYPLpWF1OHG6tPYs9Oi40PaAvLCmmWabkyB/PfgusTSz8WApTpeGwaAI9jcS7G8kxN+PGHMAk5N8Lyw9k5AAP9aunM4fvsrnmc1HafJo45hX0chNa/7Fr5dlcuXEQehKJcQg0jStX7odiYvL2Sa8h0BRrRDCS1uQHjtW71E/bhFMXKy3T0zM0NsYxo6DsVfrWeGB+EORlKVvnAT6hkKedd9ny2HTO7e0iRqpb4Tl2Tu+N7vlVp/ofKxot3fXmP5QnQent+vzHAB6UO3nVRISFmgivnVBpabBiQr3BdmXx6twuvRf9C6XRoPVQXldCycrG9l5spqDRb2fp9GgWDV7BJu/O5cpyd47Eza0OLj3D7t4Z3dhr8cX4nwTGBhIVVXVkGqPJ4Y+TdOoqqoiMLDnn9JLhlyI84HRBKGx+te5YArUyz9Ob9dv1+S7O7OcrdKD+k6pAH6Bek90o0kPzNsW4FYcgbDErsfoyGnX59RRS72ecY+fdPbz9KW+VN9hFfSAfOzV/TNuD4yJC6XMovfPzSmpY0JiGMW1zVQ32ro9r6CmmanDfG+Y0VOpUcH85TuX8Pi7B/nrniKv+x5/9yDjEsxMTh7grcSFGAJSUlIoLCykoqJzKZcQ3QkMDCQlJaXHj5eAXAjhW3gKhKe62zQW7YbgaH2zo55qqIAaj44ySVPdpS+x4/Qst6ZBU7X+2J5ecNSccmfCA8wQNcqdhS8/ordsDDpzK8JuuVzenwy01OvtGs9RScyImBC251XhcGpYmuyUv/2fVASPB/MCUIpJyWFMT4uiqcVJndXevkFRRX0LDqerz5v7BJqM/PLWDNKTw/nfD4+0Z+VbHC7uX7ebP66eSVpMyBlGEeL8ZjKZGDHi4uoEJQaHlKwIIbqWNNUdgDtaoHhvz891OfUgvk1YEoQnu2+bgvQOK20qjvRsXE3zbm0ZPVrfWdSz1WPRbujrR8zVeXoQ7nXsDO0q+1Ggycj0NP01Dav8jMScV8na9QgLDv8XgfYa0lMiMBkNhAebSI0KJjxIv9BxuTQqG7rPoveUUoqVs0fwzNJ0r+MF1c0sen4bf/gqXz7KF0KIfiABuRCia37+eivENpZCfYFmT1R8416MavDTg/uOYsa5v28o1zPlZ9JQ5j1uxHB3O8m2evrmGqjyUWPeU44WKD/c+bilQC+XOUcmJYWRFmzlsm/+t/3YyPItLNt5G6En/gG1RVC4CxrK22vOAUrrerZ9dk8tyUrhjlnDvI5Z7S5+/LfDPPbXgz57qAshhOg5CciFEN0LS/TOZBfv1VtLdsdq0QPyNglT9Ix4RwGhemeUNp7ndMUzOx6Z5u49HhgOsR7tpcoOdt3n/UzKDrsDb/8Qvfc7gObSd1g9R5RSzAnKJ8Dhnan3t1bChjvh+Unw1h2w8b9ICHG3QCy19G9ADvDf10/kKh8dVtbvLOBba3dQ29Q/WXkhhLgYSUAuhDizxAx3QO20eZeitHE5wdakZ6c9S0aCo/QFnF2J9ciS1xV3382kpV5faNkmelSHsca7g+e2kpmzLalortXLVdokZnjPv+bcla0ABE26lsLbNlFh9tELWdP09pGH/8rw/b9qP1xWZ+33UpIAPyO/v3MazyxNxxzgvfzoq7wqlrz4JV+dqOrX5xRCiIuFBORCiDNr2/W0TX0JnPgEcj+Gbz6EQ3+Fw+/C0X/A8X+6S086lpL4Ehju3b2l4mjXj/UsQzEndN4MyWDQn69NQ/nZl654LuQMjdPnFjHMoxymtT/8OTR8/DTqb99ISebDaMr3ZkCBO37LqNp/AfrOnzVNXZfWOF0aBdVNNNkcZzUPpRS3Zqfy1wcuJTXK+xOPvMpGVry8nbvW7qDmDJ1ghBBCeJOAXAjRM6Fx3pnipmp9AyN7s17K4UvMOD3gPpPY8e7va09Di4+NkJwO71aH0aN9jxUSDTFj3LdL9+tBdE9YCqHRo71ZYob+Xz9/CPNoX+Wr5WJX+qkv+siESBJv+l/Uvf+EybfoHXA6uOzQjwht1jd06qpspbHFwfv7i9h0qJR3dhf2qv57TLyZ9x6YzfS0zu0Vtx2rYPlL2ymv7/+yGSGEuFBJQC6E6LmE9M5Z6TZK6R1ZAsL01oCx4yBuYs/GDY7y3q20eI9emuIZzNaeAldrRtc/FEK72TEyfgoEtrY91DQo3HnmwNhh8+4iEz3K+2IiyqP1We3pngXaFUf1Tw7yv+h715c2SVNh6Vq49xOY+0P3BkuAyWbhxt3fYkT5FsoszZ2nU9/Cu3uLqKzXM9hWu4uKhpZeTSM6NIA/3TOTW6d17rN7tKyeFS9tp8567hbACiHE+Uz6kAshes7oByMv17PIBqO+m6fRXw/EjaYzn9+d2Al6iQno/20o14PNkFi9PMWzrjt6dPdlMAYDpM6A4x/r2XurRd+gKCmz63NKD3hvYBTXYXOhkFh9gaetUV/waSmEyOFdj+dy6T3RQb+4aKzwvujoK6dNv+iZtAQOve2epq2ShYd+SFHZhzD89fZ2kE6XxpacMppt3hcSjS1nV7biKcDPyDO3ZrB8RioPvrmXEo+s/ImKRr67fh8v35WN0SDbjgshRHckQy6EODt+/no/cXOCHuwFhPY9GAd9UyBzgvcxzaW3OSzZ7+4JbjB2Hwi3CQxzl5yA3p2lvsz3Y+vLvMtQkqbqr9OTUt7dZjwvEHxpqnJn9KHn7SJ7qu3iYewiSMrqdHdyxWfY/28+lOUAkF/V6DP47ktA3mZSUjh3zhrOqFjvjYI++aace97YSUV977LwQghxsZCAXAgxdAyfDWlz9Ax4V6UxkWk9vwCIHuUd5BfudAeybZwO764x4SneGxh1fO42TVXeHV86auhwX12hnjXvL87WhZNKwcz7IH2Z3pfdg6nuFNorC+GrFzlaWNl+PMDk/tXf0A8BeWOLA5PRwNKsFBI9+qEDbD1awQ2//YKi2s4lNEIIIXQSkAshZv+UagAAIABJREFUhg6l9AA6KRPGXg3jrtGz1WFJemlMYIR3r/GeSM7WzwVwWOHk5/qOm219xssOgb1J/95ogsRuylpMQRDpUUteerDr2vCO2XinXe9O0188LywMfpB+G3znC1yeGzkByt4Imx/jsk1Xk1bxCUpB1jD3YszGlr4vOm0bw89oYOm0FGJCvT9dKK2zct8fd3UqlxFCCKGTgFwIMXT5h+hZ7uGXwsQbYcxCMAWe+TxPpkBI8QhSrbV6RvzIB3DqK++NhhIzzjx+/ES9bAb02nRfHVfszfrzdGTpx7IVZ4fWgnYrxE3AsGojlWNXdHq4uaWUKw/+JwsKXyQu1J1J74+SFc8se1igieeXT2XqsAivxxwqquOxvx7oU390q93JO7sLeWvnadmISAhxQbkgA3KlVIhS6g2l1MtKqdsHez5CiEEWlgTxHRZpai6oK3LfDo33LknpiikIYsa6b5cd7txxxbOUxRTs/r6u2J2Z76uOAbnDqmfr/fwJv20N2yc+gc0Y3Om0EUdfJvpvd+BvrwOgsYte5GcTOHccIzrUnw33XcLCCd6LWN/bV8wrn/d+Y6Wv8qqobrRR1+zgS9mESAhxARnQgFwpFaGUelsp9Y1S6ohS6pJejrNWKVWulDrk475FSqmjSqnjSqlHWw8vAd7WNO1e4MY+vAQhxIUibgKMvw4Sprh382xjMEJy54WRXYoZp3eWAT0QrjzmfX+DR7lK1Eh3+0TNpQfl/aFjLbzHMZOfkci53+GtSz7gYMq/4VTeteXGvE+4adcdRDYcp8Xuos5qZ9OhUrZ+U47TpVHTaOPPOwr4y64CrPYzl5l0rEO3OVyYjAZ+vSyT0XGhXvf9bOMRPs+toDdOVjS2f19UIzXpQogLx0BnyJ8HNmmaNh7IAI543qmUilNKmTsc87Xbx+vAoo4HlVJGYA1wDTARWKGUmgikAG2fDUvRohBCZwrSWwWOvQpGL9AXj5oT9MWk/iFnPr+N0c+7x3rFUb1kBPQstWdAbk7w3sSn9nTfXkObjhlyAIc7SB2XYGbh9Ek0XP40n176Bk0BsV4PDW8uYPHuu0gr/5gvj1dRUN3E8fIGcsvrOVRsobHFQW2TndwyH5s0ddCx7KWldbMhc6CJl+6chjnQfUHg0uDBN/dyqqqRs+V09VMvdyGEGGIGLCBXSoUBc4FXATRNs2ma1rGoch7wN6VUYOs59wK/6TiWpmnbgGofTzMDOK5pWp6maTZgPbAYKEQPyqGL16iUukEp9ZLFYjnr1yaEuAAEReqLR9Pm9K4/eNRIdycYl0Nvzahp+g6mbWUpfoEQFKF3bmnTUOY7u322fAbk3uMmhv//7L13mJxnebZ/PlN2tnftarXqvVnFRUbuNhjcwbQE7IQW8sEvBPggEEJISAgQMCV8wBfnwzSHYIwprhhjjLsty5Kt3lfSanvvZXba8/vj3dl527TVrrQr3edx7LEzz/u8ZWZtzfXecz3XncfWZRW88fpbyP/YizB/i2W7PzrK9fs/Q/XOb0x0W+0cHKNnOHHsvtH0Xm27IDd3/1w6p5DvvmezJTa+fzTMe+/ZTl3HYNpjJyPHd046LgVBOE+Zzn/RlgKdwE+UUruUUj9USllKUFrrXwFPAPePe70/CLw7i3PUkqiEgyHEa4HfAu9QSt0NPOq2o9b6Ua31X5eUZNDWWxAEwY5Shv0lTn+jsVjUnKQSj1wMFE406AHSZ5inQ2t3L3o4hY2jaC68/zG48H2OTZvrf8hb9n6SnPAgPcMhes2CfCS9533IltQyFrE+v3ZVFZ95yyrLWHPfKO/8r23UdaSvwLshglwQhHOJ6fwXzQdcCNyttd4MDAOfs0/SWt8FBIG7gdu01tn86+zW/k1rrYe11h/QWn9Ua/3zSVy7IAhCeornWReC9tZD5+HE88LqxONSUzOj9gMwnMGixNCwccyIfQFnkgp7JOg+HscXgNu+C7f8BzGPNct9YfcLvG3nnURb9hGOJqwh/aNOQd4xGOT1hl4Gg2FGQ1FiNivJWNiZt/7Rq5fx1k3zLGN9I2H+6t4dGSWmhKPWY/qk+6cgCOcQ0ynIm4AmrfX28ee/xhDoFpRSVwLrgQeBL07iHCZzJvOBKVoxJQiCkAG1FyVPZzEL8rIlhk0mTuN2p9A2M9IDx56Epp3Q9Kp1m5tdBdIL8jgXf5D6m+9nJKfCMlwy2sBbd9zJBQ3/PWFhGQ1FLRaUcDTGE/vbeK2+l+ePdrk2FgpFnYJcKcW33rWR92xZaBmv7x7h736VPg7RbouJiJ9cEIRziGkT5FrrNqBRKRX/nvKNwEHzHKXUZuAeDN/3B4BypdSXszjNDmCFUmqJUioH+HPgkdO+eEEQhExRyhDl5Uut4/kV4DM1yPF4YMGliS6j4RGjc+hgO3QcNjzo8bjEsSE49VIiTnGwLbFoFJIL8nCGghxQi7by4CX30VG83jLu1WHeUPcfXHX4SxNNj8xV8r6R8EQFvKVv1FWQu1XIwWgc9NXb1/Oui+Zbxp861M7j+1J0PQUGg8l96oIgCLOd6Tbh/S3wc6XUXmAT8FXb9nzgXVrr41rrGPA+4JT9IEqpXwDbgFVKqSal1IcAtNYR4GPAHzASXB7QWh+YtlcjCILghlJGbGKFKSSqdKFzXqDQ6BwaZ7AV6l8wuoV2HYP6F+HYU8Zvuy1lyCRY7V06J8YzjwIsCHgZCVTx2OYfcqTmrY7tq1ofZl3T/YBVkNuTTtr6nTcBdg+5GaUUX759PZsWWBsH/e8HdvPY3uRfcNqFv93CIgiCMJvxpZ8yebTWu4GLU2x/yfY8jFExt89ztp1LbHscePw0LlMQBGFqmLfJsKnEwtaoQzMltYZwN3cINePW4ROMSnrcGhM1CfLcYsPeAlmltxQGjH/+o94Az6/5F5rKL+PyI18hNzIwMeeyY3dRNNpEsPTDUGU4Du2V6dZ+501APPZwR30PR9sHuWRxOSurEwm3AZ+Xb7xzAzd994UJv3ooEuNj9+1iYDTCey913szYLStaG6Lc75XFnYIgzH7kXzJBEISppLjGqI6rFIsO526A4lrDvpJXBuVLjB9l+yd5zurE46G2CQuJJWEl15QUlSplxUae32u5xBPVb+aRi35KyGvNY7+g6T7W/faNND30r5zoGHRUv7uHnPYZraF/JMzuhj5GxqI8d8TZCGhFdRF/e90Kx/iXHjvAiU7n2n67ZQUgEhUfuSAI5wYiyAVBEM40Hg8s2gpr32o0KKq9yPhZdZPRuKigEhZsgbnrjSxzMES4WyXcn290GgVjIWaqhaImlFIUBBJfks4tyWWgcAnPrv0351xizN/9bSK//Qjd/ZkFYfVmkJzyt9ct5zNvWWWJywqGY3z6V3scyS3dw87jiY9cEIRzBRHkgiAIMwV/rpFtvvSahAc9nmUOiYxz86JObw748hLPM01aAYsgry7OpTjPz6k51/LCqi8Q9QQc81e2PcacbV9yPZZSUJyXON5wyJaKkiR55W+uXc5NF9RYxnc19HH/jkSLiUg05hqN6JbmIgiCMBsRQS4IgjCTMQvy+MJOsyD3BYyfOFkI8rL8RBZ5VVGAigIjFeZw7Tt4/Z0vs33l3xHy5lv2WXbyPmp7XnEcq6Iwh1y/d+L5wKh9EWZye8nG+SWsqCq0jH39icN0DhrfBPQMh3BLRZSFnYIgnCuIIBcEQZjJFFQlHo/2GdGGZsuKNwB+U4U8Cx/5xgWlLCjPZ11tMYsq8llYnhDfNTXzaC3eyGuLP8Ko35qIctWhL5ITHrCMVRYGCPhMgjxobSiUyl6ilOKGdXPxexPmlf7RMH83bl3pHHJfrCqCXBCEcwUR5IIgCDMZX47hKY8z1GarkOckfOaQVdJKca6fG9bP5bJllSilWF5VyPVrq7nxgrnML8tnYYmX0UAlB2v/jJjp46JwrIPLjt5lOVZFQYCAz0PlwAHm9WxnZMDaiXQsmjwKEaA4z8+VK+ZYxp472smPXzo5USm3I4JcEIRzBRHkgiAIM51Cs4+8zVYhtwny8Ihzf60zWuyplGJxZQHzy4xK+fLKPApzffTnL3Jkla9o/x1LOv448byyKIeisTZKRhrIC/VQ0LbTMj+TBZiXLi5n7bxiy9jXnzjMnsZEFGSJyWYTikjKyqSJyc2MIMwkRJALgiDMdIpsgtyyqDMAOaaowrFB675jg3D0D3DoEeg5mdVpi3Ngy5IKNiwo5XDtO+gutMYUXnH4K1QOGL3YyvNzKAh3TWzzha1pLMk85NpkDvd4FH9/wyqKchOLQ8NRzU9eqmdgvDlRVVHAtE1E5aTob4JDD8OJZ3E15wuCcMYRQS4IgjDTyStNiO6YabGkx2dEKJqzyIP9icdxMR4aF8e92QlyYobNxPB2K55d829EVUIs50b6ufX1v2JR5zP4vB78nuTZ68kq5BFbvOGcwly+9vYNlrG+0TD3vHCCZ492cKJzaKJJkKSsTJKGV4y/7XAX9Demny8IwrQjglwQBGE2UDzPOeY1UlEIFCUaEUWChj0lNAInnrPOD1oXYqZlXJDn+Dx4dISeolW8tvT/s0zxxYK86cDnoG0/OV63gxiYBXldxyC/29tKQ/cIUZsgj8Y0N2+o4Q5bt85gJMZLdd186bFDfO+ZOp4+3MFYOLUvXciALBYBC4IwfYggFwRBmA0U1zrHfOOCXCkI2KrkXUedEYg6y4ryeDXe7zUEOcCehe9n98L3W6Z5YiH49QcIxJJHLobGF3VGojGeOdxJS98ofzjQ5rCdRMctFP962zrevLba9VjRmGbbiW6+9eRR+kfCrnMmRTQMTa9B005rN9RzmhQdZQVBOGOIIBcEQZgN5FckKuJxvKb8cbttZdjZrh4dy05ojgtyn8eDj/FqtFLsWP4Jtq/5vHVu11HKX/9uUtE/Nl4hH7VVtYNhmyAfX2zo83r43ns3877LFlviEM3sauzjlu+/QGv/FFV5Ow4atp7eemg/MDXHnOkoEeSCMBMQQS4IgjAbUMpZJTcLdLMgH+myesm9iWSSbBoHmf3quV6rcD619L2w+U7LmL/xZVa0Pea6UDBuWbELcHteecS0+DPg8/LXVy3lb69bwa0barhkcZmjntvYM8od92znUGuWdhw3uo4lHnfXnf7xZgUiyAVhJiCCXBAEYbZQbG0xP2FZAasgH2g2jZdCjqkLZqY55bZYvIDH9tzvgRvvgjlrLOMLel9hY8NPHY2DwlHNYDBM0FYhj6enxInaxPxYOEqe38uG+aV8+MqlPPQ3lzO3ONcy50TXMLd870V+81pTZq9NEARhhiGCXBAEYbZQWA0e08rJZJYVs6gtqLQ1DsqwQm5OcwFybYI8x+sxkl/ueACKrDcKFcPHuLD+B+SEExGM9V3D3P9qI3840GaZOxC0nse+yHPMtBg04PeyqCKf91+2mJXVhY79PvubvTy0qxkhC8SyIggzAhHkgiAIswWP19okyJ9rfWz3mIOLIM+0Qm4Vyq4VcoDShXDnbyCvzLI9P9zDFUe+7LCv2N0sg3bLik2Qm9NZcrweAj4vXo/ibZtqWVHlFOWf/OVuPv/gvowaEZ0zxGLS6EcQZjkiyAVBEGYT1WvBn2dUxIvnW7eZq+Rx8ivBZ6qkT7JCnuOJWdR0wGeq1Fevg//1PMxZZdlnWceTrGh7NOVpBkat54nZBXnUXCH3EPAZH1t+r4d3Xzyff3/7BY4i733bG3jvPa/QMZiFX362EuyHw4/B0d8bUZfZIhVyQZgRiCAXBEGYTeSWwOqbYcX1Vg95fJuZnEKjcp7MshLsN7LKG3c4K6za6vXOMUUfgpFNbqF0IVz7BcJF1puErce+Sd5YF8mIN/mZuDy7ZSVsrZB7PArfROqK4u0X1vKNd240LDQmdp7q5V3/tW1qYxFnIvUvGZ1bw6PQtncSBxBBLggzARHkgiAI5wp2QV5Qafz2u1hWImNw/GkjHrHvFAxZvd3xpkBxcnwelEmQB+yCHEB5CG7+EFGVSHUJRAa57NhdGb8EZ4U8cR254zaZXH+iOj8WifHOi+bz4N9cxsLyfMu+p7pH+PSv9qDP5fbwYVNV3JyskylSIReEGYEIckEQhHMFuyDPrzB+2yvkWkPjq1bRHRq27mu3rNgq5BbLysQ+YQLl8zlRdb1leGnHH7noxH+6xiHaSV0h905ci337unklPPKxy7lyRaVl/6cOtXPPCyfSnvecwOObxE4iyAVhJiCCXBAE4VwhWYXc4iEfM/K2h9qtc8M2/7FNkPu8Ck8shWVFa4hFyfF6aCrfykCuNTP9wvp72HTqR2lfQuqUFY/lN0D/aIid9T2c7BqmND+HH965iY0VVvvN1584wmunetOee9ZjzpvPFKmQC8KMQAS5IAjCuYLHCyULjMcFcyBQZDw2V8jDo0Y3Sjth2wJIF8uKJ5VlxSTWtfJyaN47CHmtFpKLTv4XlQMHU76EdCkrxrkT1fmX6rrZ1dDHUwfb6RsJEeir4/tXhCjJSRwnGtN8/Be7GLL51R3MdnHqmYQglwq5IMwIzltBrpS6VSn1g/7+SXjuBEEQZioLtsCKN8OSqxJjXn9CbOoYjA0694vY2s/bKuR+h2UluSCfW5LLcO5cnlr/DcZ8iWhCj45y1eF/wRNLvtDS7iEfiyRuDAITHvLEuc2CfX/zAETDLCjUfGtryHKc5r5R7n25Pul5AfpGwnQOBmev59wt9jIds/0mRBDOEc5bQa61flRr/dclJS4xYYIgCLMVpSC32Cm0fHmp9wvbBbm1Qu7zeMhRZnFs85BHEyJ7eVUR88vzWXrBG3h109ct0yqGjrGu6f6kl+HwkLtUyO2JKhMvwRSR+Kb5Md6/ynpT8aMXTzIScq+Sdw6O8dqpXvY19dPSP+o6Z8bjFQ+5IMxWzltBLgiCcF5h9pHHKaxOPHYIcqdwrSkyLBEl+X4KcrxJ5+f4PKysLmJ1dSH1FVdwrPpmy9RN9T8kJzzgeplRU/xiOBqbWAdqxB3GPeQuC0qJV9MTgv5/bwhTGEiI1J7hEF961N0ys7uxb+LxkVaXbxBmIrabJpT7+yIIwsxHBLkgCML5gNlHHqdgjuE7B8PKEgkZIi8WdeSQA1y6qIgb1s/lto3zUPYKvF0cjo8FwzFeWfEpQt6CieHcyACbTv3Y9TLNizpPdSeSX8wWGdfIRZxNhkpy4C+3LrKM3b+jkW8/ecSxr88zcyrFGVtmHO95BvvNVjuOIJzjiCAXBEE4H3AT5HmlVivLYAscfNjo/Bh0VrB9RFlQnm/JAZ/AzReuo5Tk+wnmlLNn0Qcsmy5o/B8qBw44dolbVhp7RnjmcGfiUk3ndD0/MBAME7X1N/roNctYUllgGfvu03U8fdiaMlMQmIzdY+pp7BnhZ6+c4rG9LQ4/vRPb9kzEtghyQZiRiCAXBEE4H3CzrOSWWJsGtR80KuXRMAy2OudHU6SUuFhciEUncsH3L3wvQ4GqiU0eHeWag/+EL2q1ymhtLOzcUd8zMaYUbJifWO/jiFw07Wv3iBfl+rn7zgst1hWAD/50J/ubE4v67cc0LxadLg61DvByXZelW+kT+9sYC8do7QtytCNb60wmYlsEuSDMRESQC4IgnA/YK+S+APjzwG+KJrRnkdtJkY5iXtQ5gY5RU5LHn29ZwJ9dtoqXVn3esrls5CRXH/xn4ybAxMnuYbqHjJQUpeD2zbWsqC6a2J7MsgJwoGXAkswCsHpuMT/4y4scc2/53ou8XNdlvDRb5Xg0nCYi8TRpHwjy4rEuDrQM8PzRTtc5fSMp3m9wVrszqpDbbzREoAvCTEAEuSAIwvmAvUIebyLkZmVJhpvojpPEQw5GlTo/x0fBBbdyuOZtlilLO5/ikhPft4wdaEnYZdbNK6Gi0HrtqQR5a98oLx/vpntozDJ+2bJK3rSm2jH/r/57J4/vax33bSd85KNhl9czhdR1DE08bup1T3WJ35RkjlhWBGG2IoJcEAThfMAuvHNLjd/+NHGIZtxsKRPb3D3kZi5eXEbLG77IYMkqy/imUz9hU32ii2fvcEKILq8qxE6e35syPlvHNG0DQcf4525cRb4tHWYkFOVvf7GLI22DjvHpJBNd3NI3SrvL6zAdZTJnnsQ+giBMNyLIBUEQzgf8NkGeN8WC3K16bqua5/q9XLdxKUXv/xXkV1q2XXLi+6xv/Dlg9W/bvd8APq+HZXOsQv3GC+ZSVpBojGPPMwcjH/2JT1zJ4gprB9FoTPOD508QMe0yOJrGLnKG+NOhjswnT2ZRp1TMZyQ9wyF21Pc4vukRzl1EkAuCIJwPOCrkcctKFoI8W8uKS3QiAGWL4I4HCPus6Sdbj32TxR1PTTxXytqV08yWJeWW5xUFAbYuqyBeAY4mSSgpK8jhvVsWcuVy6w1BffcI3zxaxVhMMRZTdI1Mr4c8UyKxFItLHWI6Mw/5YDDM7sZeTnYNpZ8vnBUe3t3M7oY+HtrdcrYvRThDiCAXBEE4H/D6E9VwXwACxcZje+U8FXZbymgfDLaNR6Okr5BbqL2IXVf+gLDHev6tx76FN2rYNHL9Xmfe+TgFAR9vXldNRWEOFy8uIy/Hi9+bmBtNImSjMY1SiqtWzmGRrVJ+bCjAR3cv4qO7F/GxXfO5+9m6zDPBZwIZXapmd2MfPUMhTnYO0ykV2BlJJGr8MWMxnUH8pXAuIIJcEAThfGHBG6B8CSzcyoQJe7IV8rFBqHsK6l+EnhPudpY0YjZYcylPbvgPoiphSykca2Nd0/0AFARSd55cVFHA2y+cz+aFZRDsJyeW8FtHktwLmCvnN62vobIwx3XeaNTD1584wn8+ezzlNZxdJlMh14RNlqD2AfcFpcLMQeT4+YEIckEQhPOFggqovQgKTHYNj8c9ozwZ8ar3cFdibKgjSQ55attHrt9LS/kbqJt7k2V8c/0PKRhtoWr4GLTsSm2VAehvhmN/JPfEk/ijRnTjaCjCzlM9tPZbBWfUdJNQXpDD/X/9BlbPLSIZ3/jDER7e3Zz6/LMKkXeCMBPJSJArpZYppQLjj69RSn1cKVU6vZcmCIIgnBHSVcm9/sTjuDg2i+1YxL1pkCPz2kq8+2Z70QaLdSUnOsy1B79A+fAJ6D4OHYdSX1/DNgB8CvLHEjcKAyNhfr+vzTLV7i0vDPi594NbqC1N/h584v7dPLJnBnp5HQs0M2hmlMkcQRDOOJlWyH8DRJVSy4EfAUuA+6btqgRBEIQzRyofuVLgNdk64l5xc9U6Fk5iWUkdHVhbloc/MkTEl8+Jqust22r6d1Haf9B40nU05XHieD1Ov7ldgNufh6Mxqotz+fxNq3nn/D5undvHLXP7HMf57K/3pIkgnB6m3MJuO6AWf/KMZ1atYxAmTaaCPKa1jgC3A9/RWv9voGb6LksQBEE4Y6SKPvT4wONWITcL8mj2izoxLCOXVUepKAzQM/dyevMXW7aXtTybcn87SimnKLdVhN0EOUCOz8sNc4e4fV4fb5/Xxzvn9VjmBcMxvvGHI+yo77EKpNAwpEpCmVYmE2E4xeJuqDOxsFcQhEmTqSAPK6XeA7wPeGx8zJ9iviAIgjBbKFti2FJ8ucZjMx4feE1Z4HFBHrVbVtI3BnJjZcEIGxeUUpof4OjcWy3bcvvqjAWjWeD1WgW5InWFPJ5Xbq9C3jR3gKtXzrGMPXukg12nejkW77LZeRSO/B7q/njWBKnWmvaBIF1DY5zxTp3DXXDyOWNh78C55LOfWcitzvlBpoL8A8BW4Cta65NKqSXA/0zfZQmCIAhnjPxyWH0LrL45kU8ex+MDr2nRZ3S8i6a5Ih4NuXuT01WOYzEYNhrfeBUM59bQVrLROmf73TDUnuELAa/H9rGmYxaxHbMJ0ngTIvs4wIULSzEX3LuGQnQMjnGodcAYaNtr/B4bhP7GjK8RQE+FzNKa9sEgB5r72dvYR8ckElNOyw7R8Ir7Y0EQsiYjQa61Pqi1/rjW+hdKqTKgSGv9tWm+NkEQBOFM4fEafnF74orHCz6ThzwuyKMh01iSFBQdNWwrnUegq85ZnQ32Tdha1LjyPTL3rdY5Iz3w4n9AsD+jl+GzfaopYMwU82fv4Bl/7malzs/xsaTS2rzoQMsAHrds9HRJMNPEweaBicc763tSzHTntG4LMvgGRBCEzMg0ZeVZpVSxUqoc2AP8RCn17em9NEEQBOGMY+/oqbzWCnlkvJFMmkhDY04UeuuhbR+07oa+U9bto70TD73jIre17CJOVV5lnTfcCY99KrPLt1XIlY7xs22n2NdkCHo3D3kkGqN3JIQDrVk3z/qNwe7GPkZCZ6eLZ8dgkCcPtHG4LS7CNR6PuRlS9pYVu6UnK8Q3LghTRqaWlRKt9QDwduAnWuuLgDdN32UJgiAIZwVHhdxnHYuMJ424xRyCNSJRR40c8ThNO61zRxNpJnFdqYCn1n+TDrt1Zf+v4egf0l6+M2nFEI2vnOgmEo05XDTBcJQHdjYxMhZFubSiX1ldiM90zNFwlP95pSHtdUyGdIL6kd0tnOoe4YWjXQwGjYp8jvkrgTMukGe3IA+Go/SPnp1vNgTBTqaC3KeUqgHeTWJRpyAIgnCu4SbIvWksK5b9TRV2HbMKdDumCrkar5ArNDGPn961d0DxfOv8J7+Q1hpiF+TmCnBrf5CITZEfbh1keCx+c2HdpnSMgM/LxYvLLOP7mvt55nBHyuuYDDGtUTqKN+ruBTfr7d7hMGiN32v+GM8+ZeW0NPwsrpAPj0W4b3sDD+xo5GTX8Nm+nJTM4rdZyIJMBfmXgD8Ax7XWO5RSS4Fj03dZgiAIwlnBa2slr2ydPNNZVsxzY5HkTYdiMRhL+MIDfuPjSOkoAb+HZXPL4JIPYdTMx+k6CrtS5wk4Yw8TaqahZ8R18WYctwo5wDUrqxyNg/7ht/voMceSu/nKsyQWCbGo81kWdz5L4WhmjYjMFfLJXIEJEkFxAAAgAElEQVTOsFFQMBzlcNsAfRZrz+xVituOd098I/HUwcwXDQvCdJHpos5faa03aK0/Ov78hNb6HdN7aYIgCMIZxy4sYxGryI6GDJGbVJCbK+TauiAUEskrY/0WsVxZGKC6JJeakgC3b641vOClC2HxFdb9t/+XtWRoE9EOD7mp6t3QM0I0mf50Eerx6rrXo3jLumrLtraBIH/1rI+TXSNsO95NXTwK8XToPII3Zgje6v49GeygLXaa6RTILx/v4oWjXTy6pyUzr/oMZzQsC1KFmUWmizrnK6UeVEp1KKXalVK/UUrNT7+nIAiCMKuJRZyLOlMt6PT4raLe3hwoPG4PMNlVwBDS6+aVcMXSMorMLpc1txkLS+N0Hjayr83XZz6941MtIR6HgpEJ77UTF0FuEuk1JXlctrTCsv31bj9fes3PaCjCzvre0+6oqMPZxxaa5bizwu92EptlJcPzHO8w/m7BcIyWvlHXYwlTg/2/oymJyBRmPJlaVn4CPALMA2qBR8fHBEEQhHMZR4V8LLWP2+uzCmi713xsvJJsjjH0mBoP6ZhVZOeXQ+1F1mM8/82EGLQLfpt2sYvUlv4gbpi95r4JG4i1nH7VyjksLM+3jD3TVUzdkPH+mOMVJ0M0W9NJEotNVpwD1W5BOBfIVJDP0Vr/RGsdGf/5KTAn3U6CIAjCLCcWHc8oH/+40BpSVXI9fmN+nLjnPE5oXJCbj5FbnHisY07Bv+w66/P6F+D1e8evz1oht+tLe6xfMJTEqmDyUvvHy+x2eez1KN6+uZaSPOtC1a8ereHhY2M8eaD9tBYIauX8SE5XdXdI8rRV60kI8IEWanp3UBBsy35f4bSRLyLODzIV5F1KqTuVUt7xnzuB7um8MEEQBOEsUb4k8bhyufHbXCUPpfBLe/3WCrnd3jI2aPyOmCrVflPVWUed+1Qsh6XXWMee+AfoOORoTuNYtJnhokWz+PaNX75y2bcg4OPWDTWO8W3NYT7z6z186pe7efXk5D4etc70IznpEaan4H3qZfLHupjbt+ucUYdTsAZXEKaUTP/v/yBG5GEb0Aq8E/jAdF2UIAiCcBapvsAQ5ZUroXSxMWb2kYdSVIE9PmuF3E5czJsr5xZBrp0VcqXgpm+D39Q1MzwC99/h8KLPKbLGNmbe+MZkWZkworvvu6iigAtqSxzjY5EYuxr7ePf/e4XFn/sdn7x/lylS0YpdOGutiWX8kTyxk+WpwuWGJM0+muxsNipZd05RuLOC3uEQO+p76B4aSz9ZOKNkmrLSoLW+TWs9R2tdpbV+G0aTIEEQBOFcw5dj+LZrNiRWSU62Qm4n7iFPViGPRSHm4lEvnQ83fs061nMcfvdpSxW8LD+HpXMSwj0uyD2OhkFWzNVwnzcewZhc3N64fi6rC1Mvwnxodwvv/8mrrqkkdmtJTEPMxbKSDsthtE5bwLYvEMy+4K2dQTxaM7nQReFM8/DuZnY39PHQ7sxiNYUzx+l8P5ZZH+OzgFKqQCl1r1LqHqXUHWf7egRBEGY9mQpyj98t6iRBeMTo8hlfjKmU9dhuHnIw5l/4l7D5L6zjdU8ZnnITiysLuWDBeAV7XHFuWVye/JqMiROPvMo5Zsfv9fB3K9r53MpWNhSPkOtzn7ejvpctX3mK/3y2jphJmNuFcExrgpHM1XFcWJv3UOi0FXL7vUFMY7muTFAmRd4+EOT5o53sbOgjkjRTUpgphKPG3zoW01n/3YXp5XQEeUa3w+Oe811KqUl3+FRK/Xg8cnG/y7YblFJHlFJ1SqnPjQ+/Hfi11vrDwG2TPa8gCIIwjrlhUCrLSroKOVgFvS83sWAUnCkrE+PjAv6mb0LNJuu2fb+G4S6LDcar4gszDZG4uqYopavC6iFPdA1NhUfBysIxPrm8g3+6vIjbN9WyyJbCAtA9HOKuJ47wzv96mdZ+o6puF84dg2O8cKwn5fmcZJ+yom2dSk92DnHvtnqOtg9mdEb7W3iia5hYTNM3EmZvc7/rPoIgpOd0BHmmt1afAA65bVBKVSmlimxjy12m/hS4wWV/L/B/gRuBtcB7lFJrgflA4/g0Sf8XBEE4Xdy6dbrh8VkFthtmQe8LWD3nOpq8Qg7gz4V332u1uYRH4Im/h0c/Dq1GQ514BTluO/F7PeTnJCljY7OsxCv8GS4IBSOBZe28Yu58wyL+cusi1zmvN/TxqV/u4eW6Lk50Wm9qdr36ApWDrh+VxqUkqXw7rS/ZVcgBIlHNc0c6k53YPmB5NjrukdcoTnXP7Bb0ZtQMttg41iVLIfu8IOW/mkqpQaXUgMvPIEYmeUrGmwfdDPwwyZSrgYeVUrnj8z8MfNc+SWv9POBWOtgC1I13Dg0B9wNvBZowRHnS16iUulUp9YP+frmjFwRBSIs3J/0cMCrknuTCF8igQu4iyM3iuGwxXPM555xYBHb9DHSM3HhUiklA5udYK/eeJF0uM6qQpxCqa2qKef4z13KzWxrLiW6eOdJhGfNHBsnvO+ZyjsRrdlpcjEHHEs20HvLkNxnBDLpXKq2TSNmZK3AFYTaQUpBrrYu01sUuP0Va6zT/4gLwHeCz2LsrJI7/K+AJ4P5xr3c8zSVTaklUwsEQ4rXAb4F3KKXuxmhi5HbuR7XWf11S4lwpLwiCINjwBdLPAcND7ksj3h2C3Fwhjxkeczv2BkBv+BtYfKVz3mgvtLxOQaiL+WV5FAQ8vHFNFQB5NkGe6zd/BCaUbNwjndqykryMORSM0NQ7wlfetp77PnypY889jdZCkD/qvjjUnGhir3xPVMa1eb5On1vuDC6feNg/6nYj5LzxeKmui47BIL3DpqZPkrIybUinzvOD0w09TYpS6hagQ2v9Wqp5Wuu7gCBwN3Cb1jrFaiHnadwPqYe11h/QWn9Ua/3zLI4nCIIguOHNUJB7fennjpkFecAq5mLJKuQ2Qe71wZ/9DOasds595W548h9Zue9bvLWqk6VzCgFnhTxRRQdl0jy+eOU8hbi1Z5TbxfuBlgEe3t3CRYvK+D9/bvW872vutyyATJbm4jFXyG3bjEq4dmxJWyFP8ZoiGS3yM/ziD+9q4UBLv2lUzWgbiCDMdKZNkAOXA7cppeoxrCTXKaX+xz5JKXUlsB54EPhiludoAhaYns8HJMtHEARhqklX9QbDrgLpq+kWD3muzUOeImXFTl4ZvO1uWOlYYmQw0AQPfgR6TgBOQW6umCvTF7meiQp5Kg95+gWVoUiM/375FFuXVVi6e46GoxxqG0y5r0Hi/E5vuHvKSvoKefLt7tucWefuW5IXyeu7hnlkTwuH2wZSXpsgnM9MmyDXWv+D1nq+1nox8OfA01rrO81zlFKbgXswfN8fAMqVUl/O4jQ7gBVKqSVKqZzx8zwyJS9AEARBSJBJhTzuHU/nNw+PJB5n7CG3CfL+Jji1zUhXWf8OQ5y7ERqCF/8DgDy/1WmZzLISX9OZKofcrj1T1Ya3n+jh9s21lrFH9rTwlccP8fv9rXSNWF+b1nB8OIe2/qBlzIy7hzz9AkCn6E4exZjkABMPwxFzBT/5O/DHg+209wd54WgXYYlGzBpZ1Hl+MJ0V8kzIB96ltT6utY4B7wNO2ScppX4BbANWKaWalFIfAtBaR4CPAX/ASHJ5QGt94IxdvSAIwvlCJh7yuBDP1G8OLoI8TcoKGGK84RUYaIaxAWP/je9Nfo7X/xv2/JLC2ABlQ8fxR4wKvdmyYlY9XpW6U6frthSqqa0/yJ9dssB12+sNfXz7lQF+1lDOqZEcHmkt4UO7FvOVI/P4wSttPHmw3fXwExZyy3j2OeSVg4eZ17MdFYu4vwSbLz2pr14pSz55MsYi574gT/cthSC4kcnCzNNGa/0s8KzL+Eu252GMirl93ntSHPtx4PHTvkhBEAQhOUoZgjsaSj4n0wq5GV/AZVGnyznifupo2BDjdmovhAveZWSSu4nGB/8X5W/4FOVDFRSMtdFUcTkBv9myYhLkE/cHmXvI0yUBL6ks4MoVlbxwrMt1+zNdxTzTVewYf/l4Nx/52Wt84ZY1lnFDeNs6c2pNNKap6xgkGI6xpLKAgoD1Y95NLOaFeigbPo6m1rHN+cqSv872/iBDYxEKA2dEWswodjX00tIXJBKL0TscYsuSCtbOc/49MyH7dHnhXOBsV8gFQRCE2UJxmrTbuCA/nQp5LOouyOMV8tHe5MdaeQNc/29wzedhy/+ybdTkH/wlSkfJiRj+7YAvcV6zIJ/wkKesdGYnkzoHx/jq7RdQlu9PP9nGEwfaeP9PdtA3knhftIahsTD9pjGF5nf7WnnmcCfbjnfz9OEOx7GSVW/zQj1JFoTafenJXrfxnj2wozFlfOJMWfY5laEwXUNj7KzvpaVvlI6BMcJRI4lGELJBBLkgCIKQGZUrnGO+3MTjeGXczW/uTSJEfTnWRZ2xiLv9I+4hd1vcaaa4BiqWwYItsOkOyybPQBPV/XtRWhPwqQnhbRzfbFlJv6jTrOdyc7xsWVzKVSvnJJ0/NBZhQXk+33r3RjbUZh+3W9cxxH+/coqBoGHniWnNS3XdjnmRaOJ1mD3ocVLdYyQT651DiUZQqW9SIBrT7GnsS7r9XExH7BxM0ShrCpgqC4z9OFJ5n1mIIBcEQRAyI7cECiqtY2ah7fUlftu7dfrynMeLi/l0nT0hIcRjLhnlyVh2nSOBZW3Lr6jNC/OWtXNs4tC8qDN97CEWXzUsrshn1dyipNNHQsZ1l+bncOvGebx9cy2rqovI8XrwZChSB4MRHtjZSMdgEK2ha9AquFPnpscvO8lNhkqyt9Ycbk0kwmRyjlTxib0jLusDBEE4Mx5yQRAE4Ryhah2cfM54HChORJKAtUOnLwDhUetzeyExbm3JpGyqJyHIAS7+IBz9A2bBveq1L0K5onfZBybGlIsgTyU+U0ciOtnV0MeG+aXExsXqmppi1tQYHuPC0RaKuvfRGfIxJydCvs84dkPxhfxozyiNvYn3sX1gjHteOMn2kz1cPEdTDQlBn0ElNaUJJ8n+sVgmlpXM+MP+Nj54xZLTOoYwNQyNRSxxnOcqnYNjtPUHWVFdSK7fm36Hs4RUyAVBEITMKZwDczdAfjnUbDA6c8YxP7bbVszWlok5psWf6ark8Qp5sgpvMoprYfkbneN//GdKjv02cXqLZWV8zCQ+/V67vcU99uTa1VWul6E1vHaql2iS6nG+L8ai/BCbFxRYzvneLQvJcxERe5v6+fGuAb52dC6hWOY+kFiS908Dr57s5YglH92lop6J6Nfmx9b5yV5/nKGxCC8c62R/c3/KeTOJ2WrDee5o59m+hGknFInx0K5mXjnRPeNfrwhyQRAEITvmrDTsIEVzrVVxs8C2NxLypxHknjSVq7gwTOchd+4Il3/Sep3jVL3y7/gjcQGaEJ7eeNV/XEzesH4uf7l1MQClwydY0vkUFYNHnecBls0p4E1rq9m0sJSaUutr3tfUT9RF0MaF/8YFpeSbstKV1vi8HrYuq0j66uqGc/nYnoXsH8gl7CJ27YI4luJ+ZngswvNHOy3ec/shk31rYM4hN6ejZ9T808Qzhzs43DrItuPdtPaPpt/hPGC6vN7tLmsMzjUaexM9Dxq6R1LMPPuIIBcEQRAmjzlRxZuqQu7mIZ9EhTxby4qOwZzVcP2XYNVNlk3e4TbeceBjlIyccl2saOneOe4LqRg8gicWoWCswzIzLt6VUiypLOCSxeVc7bLIM1WFuKIwYIshMeZesqiM1Sn86RGt+HbdXP5h31xHN0xHfnlSRZ448cHWRHU6Xa55OrJdkGi+GTjeMZxi5sxBTXF2jOSYn5+IIBcEQRAmT9kSo9IdKLbGItor5G5RiGbR7ibI/SYRP1kPuY4Z+xZWGx09V95o2VzUvZfbX7uTkpF6t52NU2bWwtIxkp/jrMq7C3Lt+jD+xOf18I83r+GWC2p44+oqtiwud72C/rCX37zezKnuhJC1X3s0S61nF4eZLRw1Pc7udGeM2eQymSp9Ljp/ZiOCXBAEQZg8BRWw+hZY+ebUFXK/W4XcLMhdLCtm3/mEhzxLy4rWVpvLmluhfKn10sJDXHn4y3hi1vzzeNV8Qsik8q+7qB2vR1GUmxDluX5PUnHvTRO14lGKjQtKecPSCq5fW81fbl2UdK45DtF+tuQ3F8r0KPHYMT8LVTcWiZ52hX02MFs95DONWLb+pkkQmsGdYkWQC4IgCKeHx+WjxF4Rd62Qp7GsuFbIJ+EhN4t4XwAu+wQsuNQyq2isldreV40nkTGUjhKXs8XjSRTO7pwGS+bkk6wWfPOGmonH4agm6nYIrV0FudlGMxKyvu6bL6ixT5/gZPfwhP/aLoiztkM45meW5HKkbZCfbTvFg683JznsuS/UhcyIxjQP7Wrm59tP0dI3vesGXm9I0VjsLCOCXBAEQZh6vHbLSpoKuauod6mQZyvItXbaXAKF8M6fwsb3WIYXdz7N6pbfwqOf4OpjX2XR6H42zC+hvMB4LWa7xpziXBZWFLC0qpDqotykleOiXP9EBTUa00RcFLlCJxaSJqG+y+qn1sAd6/OTzv/xS/WEIjFCkZhF/EZd7whAJynz2gV9ZpYVzfNHO9HayE6388ieFv5ne4Ms2syUKbp3+ZNL59aZwN6mPjoHxwiGY/xub+u0nmtf08xN7xFBLgiCIEw99oq41+/8bj9dhdwsyMOjEA1PzkPuupAxBm/+suVGwR8LMq9vJ8TCeCKjXHL8+1xqiiFUpkp7nt/D8qpCFlcUoJQilWryexOvLRhxu6HQeF1efirxqzWsq/TxFwu6ubh0mK3lQ445+5r7uf/VRn65o5HwuBDXWaq76bCctPcHCYaiPLZnesXXmWK2OFbsN3UzhT5pFgWIIBcEQRCmA7snXCln9KAvzaLO/PJEHGIkCM2vT0KQa3ffeSxqdB3dfEfyfUd6YM99iUs0iVnHgs0UwtUsyLsGQ47tCpJUyFMJco1SimvnDPL/Le3kQ4u6HHOeONBGLKYZDEYm2tnHMkhZMeOokJ9m8yEhe7K9iZpt2F9fMJytLe3cQAS5IAiCMPXkuNgpPLaugJYKeZJFnfM2J573NxrCPBt0zN3mEhfpF74v9f7P3QVR4yZg65IyAApyfcwtseeqpxLkaWqoWpOf4/L6U4hf+xaPgr9a5Gx8cmg8BjFuHXHLQU95aY6Fdhnsf27rRweyqHNqGZvBCy+nExHkgiAIwtTjz4OqtZBTAAu2GGMOy4pJoLtVyL05ULbYOEacULZfuyepkMeFac0GqNmYfPfBVvjaAnj8M6w+8C2umO9ly+JyPPbXMgkRunlhKUpBwAfLqgqz2jcS0w5Ly4YSpyf7WLthZYkvGk0WFJPs8h2xh9l2ShWy5jy7n5nyHPfZijMkVRAEQRCmguq1xk+cVAsy3Tp1xivoZuGerSBMViE3j137BbjvXcmPER6BV38AQE7RPHjTF0HZPz6Tyyh7QkqcZXMKWVNTTE5vEH9nD2C9Z0nlIXdbHFroi5Hj9RAybTvQOsDSOQWsnVcMZBZ7aGYyHvLZYLGw30+FozGLtWgmca4H0syG/17OBDPzvz5BEATh3COVmLZXyJUC77jotVtdsjpnsgq5aWzlm2H1zYnneeXJzznYAo99Elp2O8+TBLfsYxUL4yFGQcCH3yQOS/L85E7YV5If01ik6dz+kSud+eSP7m3ljh9u56cvnWTExZ8biilebPPxvaeP8avXGjnQkrxTZyYpK27JKpPhTAq1HfU9p7H35Cu8Ev8oxJEKuSAIgnBmSCnIbRVyc2Mh7+kI8gwq5ABX/h0U1xppLgsuNawq2+82FnbaCY/Ctu/B5r+ApdfET5Th9WiqBvZSNNpC4HgtrL7esq9SiosXlzM4GqanpJRnnWs1AQglablZGoD15Zr9PU6R+C+PHmRVhZ/PLoT9A3ls7y2gfczH8eG4Hz7CQHCIbz55FJ/Xw0euXgYaIhp8E4dL/zo7BsbSzplpHGge4LJllWf0nM8e6aChZ4TLllWwvKrojJ57JiGWFQOpkAuCIAhnhlRdNu0egtySxGN7pnl2J029qNPMgksNge3PM7p53vwdqL04+aH3/AJGxrtihoag8VXoOuaYdtXKOROPcyKDFI22GI8Jw2Cbo7qe4/VQURjAl6J7Z3t/0LUqXz5cx98ubGBFgfvi1yPdYZ7qLOL/HK/i5Z5Ckxi38rXfH+ayf/8Tdz11ko/uWsQHX1/M/ztZ6WqVidMxEOSpQ+009Y4knWPnYMsAuxp6J2IZzxc6BoMcax9iLBzjmcPOxbhmpIZ+fiCCXBAEQTgzpPp63m5ZyStNPLbHJWZ1zph7Zd4+5nZthVXwoT/C2++BFW92bo9F4PefhZe/B72noK8BWvdAcMAybWV1IW9eVw2ARyfsHB6lxq/D/X1JoceTUjzSiN+j+fiyDgIed5H7i6YKYhlUJVv6gzywq53o+NztvYX8rs69+v3T44Xc8+JJtp/s4d5tp9g9HrOYjpfquthZ35vx/MkSisR49WQPrzf0TnmL9smkrAyPnZ/Rfmea2eQIEkEuCIIgnBnMVe/cUus2+6JOS4X8ND3kbtnlwQHoOQGRcYHpaqfRRgdR5YG1b4WyJe7naN0Nhx5NPB8bNH6P9sFgOwpYVGEkxThSSrROauVJ5y9O5ecu8MX4/oWt3LBubspjZMu2lgiHWq03HJ/ZP59Xuq2V9mw92bsbpleQ727sY09jH6/V905EQc4WznWfuSzqNBBBLgiCIJwZ5l9siFvlgQWXWLfZK+RmQX5aizpj7vaU4U6j0VDjq4l5bvtGxhv5+HLh6s/CpiSNhJp3Jh4rjyH4656C+hcM4Z846Pgc0/Mkgiu9EEsv2C9aVMZHrlqaUbX9g5cvTj8JeGxv64TF5Ef1lXSHnN9gdAyOMZokXeZssMdUgd81xeJfHNAzl9mUES+CXBAEQTgz5JXB6ltgza1WwQ0QtbXPDhQnHntPw7ISDUPS7pTAULvx202QD7bBoUdM15EDS691VvcBgv1w8gWjeZGOQcuuxDbT43hV2xtXClqTTFjHUiyCrerfw5yBg0m3m6koDKStlN8wP0JNSR6fu2E1ly4pTzk3FI3x8+0NxDS81JM8P/1o+2BG15cMaal+fiD2HQMR5IIgCMKZw5fjbkEJDVmfm0tbp7OoMxZJvZgUUtpGHChljUg08/pP4al/gZe/aySx2CgI+CZazxfljb8HyTzugE5yIxEI9U4sDE15qaYK+6YFpSypKHDMyffGeOOcAd4y33iPvB7Fm9ZU876tiyaq6uuKnK+luW+Un5xKnUpy5DQFeVt/kG3Hu7PaZyySXtwZ78rUlU7VNJdhNdA5OEbX0OxLr8mEtv4su++eo4ggFwRBEM4++RWJxzk24Xg6lpVYOHVDIhgX7VmkfCy7Dq79x+Tbt/8XNO10DF+zag5KaZRHsbo6HnOnkzpPSvPcX3dONNNupdY4xRsvmEt5riEeFZovbhrmt9d0cseCHoeFf35ZPj/cXM+PL6zn0yva+adVzhuAVNVxgGMdQzx9uOO0PND7m/vTTxrncNsAP9t2iod3N6c8ZzAUZSqzS3qGp1coN/eO8tCuZh58vXnS4nUkNDXZ8GeCobHZc61TiQhyQRAE4exTvsxIVskphMVXWLed9qLONNaHaDj7DqDlS+Hqv0++/dgT1uehEeaFTvG2VflcvryS/MC4DafzMPQ3uB6isjDA+toSx7jHbZFqBpTl5/Ct60v4x1Wt/Pu6Zm5aEMp43yUFIWpyU8/ftMBp5dl2ops9TZmL6tPhhaNdaG3koNd3p45ebOxxVv0ny+unptaTbr+XePVkYoHsHw+2TeqYLX2zpwr93JHUMZDnKiLIBUEQhLOPLweWvwlW3QABW5MUt9jDdDYWs4i3+9PtxCYhyAEqV8KSq923te2H0V7jsfJA0w5o309efx055hbtOklOurGRrcsqKLFVys3RialxVoEjkQjLCsaoCkRQChIJgOltF++Yl1p4bppfSp7f6xj/3b5W7nnhBMc6Ts/Ckg2zqSKcDckaQp1LDE9hhXw2BdSIIBcEQRBmNm7iO5Ugzy/PLrs8moHPPBmb74SN74Flb7Rt0PDsV+Hk8zA2ZKS6ZMu4mrBblDMV5MpFjZgXSiplTnJJL8gvLB3h0xcn/7ZiXmkuq+e6d5zsGBzjgZ1NnOxKbrf59WtNaa/BjcFg2BHFOJuEGBhdO3+3t5X+0elayDr9b8irJ3v42bZ6x99CyAwR5IIgCMLMxs2y4rMJ8qq1RnJLoMjouJmN7zwWnrxeUR6jsr/pvbDhz63bRnrg9Xvh0Y/D01+G/b8x0lgyxrgoj02RZ14hT35MAM8kFjbOLVAsrXQuDl1VHEYpxZvXVrPZxboS575X3e05AL3DmVto4mit+f2+Nl481pX1vjOJY+1DtPSN8qdD7Wf7UibFSCjCnsY+guHYjPpbSOyhIAiCIEwVHq/zk9VeIc/JhxXXw8q3GItC7asUUzEZD7kbC98Ayu28GnpPwpHH4ZkvQyjz1vJg9CayPE/nic+CeCU5JzKQ0XugNFy7usox/r6lRkqOz+vhpgtqeMeFtUmPMZVV4KGxyDRWlaePZDqxeyj1TclMbRIUDE/B/z9niAMt/bxyoptgeGbFLYogFwRBEGY+9oq3L8/63C6E3arqyRaHTtZDbidQZHT0TMVID9Q9mdnxtHuFvMivKcrzsarG3R6SCmXSc0opSvKN9yQQHqS299WMjjG3OJc3rTFEuULznvndlAWs79/qucW8d8tC1/0berK7IZkMM1S3TnCmL2+63o+2/iD3bW/g8X2t03OCaeDlum72NfVnHak53YggFwRBEGY+djFdaKvS2ivibh7ykgXuxz4dD7md1TfDLd8xGiAtvQbyXbK6u45leDB3QX5BbTGXLK6gLO808tkxvnSoLc1jTnEuBWF1AG8AACAASURBVLk+ckO9+CKpxbI/alTCL11SwbcvaOQb65u4vsp9seaSygI+fMUSx/gje1qmrNIbS3KYybRjf2K/e4JJMBxlIJh9Ff5cXVhq5tE9LQyPRWZUV9ZMqesYSj/pDCKCXBAEQZj52JNSCqutz+0VcjdBXrbYWPBpJxae2hJi+RJYdzts/gu44d9h699Yt/c3ZXa+JBVyb7zMfZr+WI8yjn1BbQmXLqnA61EoUn9TUDTaQsXgYQBK/VHKc1ILsariXG6+oMYx/ngS8Zs1Sd7Gw63ZJ7o09ozQN2K1jAyNRbhvewO/fLWRU92Z5r8b/PyVBh7c1eRqjUj1p5vMzUQ6ZvgXBgIiyAVBEITZQNTmrbUv6lR2o7VNkPtyDTG+5Grjp3q96dhTZFmJEzFdq/JAzSar5z00BMFMsqvjgtw66h03lfu8k/kIP31pVjp8Mqv5c4tzHWO7G/umpEqeTLxO1lcetsUKvlTXRXS8DP/kgcSCy1hMZ1QB7xoM8cDORsLRs+uxnukWntNhJBSZ+BvZmU2vWwS5IAiCMPPx5ycel7p4kx2LPm0Wl3j3T48XCudYBX22nTrTYb95UB4omW8de+n/wPGnIZKiYctE7KGtQu41nud4PSyrKiQvx4vS0azVh3Kt0059LEV1cYCAzyk3nj7ScVYXZBaOtlDbvY3C0UQX0rjA7x0OsbO+h6ZeZwOhaEzzq9cauW97Azvqexzb7YyFY1lV7GOzZ33kWedE5xD3bW/gF682EIrM7jfunBTkSqkCpdS9Sql7lFJ3nO3rEQRBEE6Tmg3Gb18A5m5IP99eIc+xRfV5bI2DpspDDk5BDlCxwvq8vxF2/xz+9G8wllqsec0lcq3xmZ4uKs1ha/dvuebQP3PVkX+lYvBQmotLiPYzFQmnlOJT1690jL9yoofvP1PHaJZpF/0jYRp7RojF9GlVQKv795Ab7qO6f4/jZubRvS3saugj5lJ5PdQ6wMBoBK1hd0NmXTojWajsAy1GNKZbms5kX+902GBmAn861IHWMBqKsrtxajumnmmmTZArpXKVUq8qpfYopQ4opf71NI71Y6VUh1Jqv8u2G5RSR5RSdUqpz40Pvx34tdb6w8Btkz2vIAiCMEMomW8smFx1E/idFggH9lQWc4UdrBX0qfaQu1Xbay90nzvUBtu+b9hYwLiO3lNGl8+eEzDUMWFZKRptYknnU3iDpqrsiWegcTsKjS8WYn3T/eSE0zRm0ZpAuB8VdvNEZ/g+2N4vcxOiwtEWSobrUbGEpcOjFBvml7ge6j+fqcvsnBjC61evNfLE/jb2NvcTm7K/m7b8GksR45ftDQQ4v+VIxa6GPioHDrKk4ykqBw64zhkIhtlZ30P7QIpvWEzMJuvGZBl2sRDNphzyLFqZZc0YcJ3Wekgp5QdeVEr9Xmv9SnyCUqoKGNVaD5rGlmut7f93/hT4PvDf5kGllBf4v8D1QBOwQyn1CDAf2Dc+bfYt/RUEQRCc+O1RhyqhNAK2CEB76op9X7Ngj2TfkCZrypdCcS0MNDu3ddfBo58wXoO5Wr74KtCamOdyAKr6jY81nzmYvNEaVejVYeb276ah8ioqiwLk1BRbOicqHWNd8/1UD+xD13mNmMbVNxvblEoIa5uC8/k8RDKwBOSNdRkVZ8Cjo/QWLpvYtrq6iL1NzsZIwUgMrXVGonVXQ+/Epe042cP8suR555NlOqwP2erCkpFT478b6Cpa61CWLxztoqVvlF0NfbzvssXkuFiCzMy0RBHBybRVyLVB/L8A//iP/R7tauBhpVQugFLqw8B3XY71POBm1NoC1GmtT2itQ8D9wFsxxHncsOf6GpVStyqlftDfn03XNEEQBGHGsPRao3K+YIthZTGTzEM+sd1Uj8pogeVpojxw2cdh0eXJ4xft1pX65+H5u6g6+aB7M6DwqNFwyMbyjie4trKPDfNLuWJFJRWFCb98ycgpqgcMYa90FA4+bOse6l5KLcix1+/c51UMHZl4XD501HpdVYW8YYlLyg2ZL8KM2m4UJl35TbHjdFgflILBYHiS8YDOa23pS3jbM6mSt/VnVkkXzh7T6iFXSnmVUruBDuCPWuvt5u1a618BTwD3j3u9Pwi8O4tT1AKNpudN42O/Bd6hlLobeNRtR631o1rrvy4pcf8KTRAEQZjh5Jcb3THdFnnaPeT2Crk/35nMAtl1+MyWgkq4+IPwpn+B6/7JeRPhRtdRNr72ed624w78EZtgH+5Mupva9bPxOV28cVUis71wzBY3qKMwmBhTE+LPKgKLcjP9Qj250FVK8cY11Xz+xtWObZ1DYxke38pDu1y+ccgIm+Vm/LkGuid5Lak43DrI/a828vPtp+gdntpvZMZm+WLGZPSPhnlwVxO/29s66xdsZsK0CnKtdVRrvQmjWr1FKbXeZc5dQBC4G7jNVFXPBLdvgbTWelhr/QGt9Ue11j+f1MULgiAIsxeHIHfxkNde5NzPnmc+XZQthrf8O+SWZjS9YvgYa1p+Yx0c7ki+w2CrUXE/8Swlffu5cFEZAIGwy7fC5gr5uP9d2QRrab71GweVJJVG2SrP5YNHbNujLOh5masqrR/1D+xsIpImGrC5b3RS+eLZcLR9MK1HPNOFnGbi3wBoDU8f7uBPh1P87ez+/DS+/mSRf7Odpw+30zUYoqVvlJ2n0qfZuDGbvPNnJGVFa90HPAvcYN+mlLoSWA88CHwxy0M3Aebv/uYDLUnmCoIgCOcL9k9iu4UFjMq6vUruVjWfLnJL4OrPgjeDSjlQOXSUtc0PQMMrUPcneOXu1Ds89klo2wctu1na/RzFI6cIuC34NAnyCfFne/88SlFsEuV2kRh/bm8sVDZ8wvK8ZKSeQHiAeQFnlfg/nzueNJt8MBjm8b1T157dIXLHz3u4dZDuoeQV7Mae1J1MM6FnOOSa3mK6mKyOl02Cy2yiazDxd3CLn8yEnin+NmI6mbZFnUqpOUBYa92nlMoD3gR83TZnM3APcDNwEvgfpdSXtdZfyPA0O4AVSqklQDPw58B7p+o1CIIgCLOUvDJDhEfDUOTsFAkYxt6cQhgbsI6dSQqr4aq/g5PPQX6lca3DHdD8GvTWO6bP7d8NO3ZnfvyXvgNAGfBnyeaYXn/l4GFaSy8kZvumwP62JK+QpxaHOREj2aU2zymUBoMRHtvbyq0b51nGtdYcbpveynimIvis5KZrPR3x8NOO1pqOwTHKC3LwJ2liVdcxvX9X84Lmmc50pqzUAPeOJ6F4gAe01o/Z5uQD79JaHwdQSr0PeL/9QEqpXwDXAJVKqSbgi1rrH2mtI0qpjwF/ALzAj7XW7hlBgiAIwvmD1wdLroLhruSLKMFY7GkR5GfIsmKmfKnxY2bljUbToIEWeParmR2nai10HMz+/EcehxPPcKn2c7jmdiKeHDpKNlqmeJSyNRJyF7Bu9goVC6PHU230+DFWFo5R5o/QG7bKkL3N/Vy9ag7FuYlq/LTYDkwHHYkqojGNJ4MvR7z2tqk2ekdC3PPCCcJRzR1bFrK4siDlfDfSWVTstPQFWTdv5q2He6mum0OtA5Tk+3nXRfNdU3SeOZx8HUQqtNZEzjGrzrQJcq31XmBzmjkv2Z6HMSrm9nnvSXGMx4HHJ3mZgiAIwrlKXpnxk4ocm7f8TFpWUqGUsRC1YhljNRcTaN2Zfp+1b4WhDhjpyv584VECjLKx8V4CkX56C5aRF+pmScdTFIQ6yBtdQ3X11fRjCGVnJTxudXFWyL06gooEKQy2kxM1KuR+j+bTy9v5wiFnbOGfDnVw++bE+PTILs1IVPGdumrqhnMpz2/gPVsWUpqfk3Kvo+2pK7r/+ezxicc/f7WBz7x5VdpIwkyu1Ux913DK52bGIlFOdY8wrzTPkswy3RzvHJqoTvePhGkfGGNuSQb9A8ZJ5YsPR2M8+Hqza+64ndm0GHQ6K+SCIAiCMLPJseWXzxRBbiJwyfsJ1i0j9+AvU08sWQDXfh4OPWo0DPLlQSR7Eba69SFWtz5kHTzZSm37XgbXfYrWYSNjfAIdY07/fqLKb0Qp2vDEwtT0vYYvao3em5cX5vM3ruarvz9sGT/YOkBj7wjXr6lmTU0xWp9eR043FPBMZzF1w4ZI7BkJ83/HxfQli8u4dlWVq82iYyB5Aktzq9PjfqxjMPvqdZoX+8eD7Rkf6uW67rOSQf70IeuiVXtcZbb0j4R5+nA7C8vz6R4KnR3r0DQjglwQBEE4f3FUyM/OZaTEn0fuG/8e1rwZDj5kCG47+ZVGjKIvAJvvNH7AqFjrGMHO4+S+eNdpXYYa6WJN5BArVl3F80deBCAQ7mPrsW/hIQqnoL34Ag7Mt36p7Y2FHGJ84phKcdWKSp4/Zq3qDwYj/HZXMxd1j7B1WcVpXXcy/thR7Dq+o76Xolw/W5dmft45/fvY0TwMWMX3vub+SdhJ7AtmJ/8twWxtCOS2GPN4xzDHO4apLEr9LcZsZeaVAgRBEAThTBGwibIZWCEHIN6Gfs1tsOkOQ4BPoGDNre77KQ94fESu/HueW/0vp38d/U0TnULLho9z+bG7DDE+TvXAPpZ0PGWp8tqTV+xcuiS58H2toZdbvvciR9qmdnGe1jEGIsnXCzydKpbQRl6om+LRJvrCzhrn8c7hpMkx5xPZvgep7DWpUnBmMzP0Xx5BEARBOAMECq3PQ6cfazctRMdFiPLAsuvgxq/DZZ+AVTfDdV+AxVek3N2rFMfm3kxPwbKU89Jiikhc1v6E65QlXU+zoOfFiedpk1d8HpbNSb348btP12Vxkek52pH+79wxmFl3S3/EqEK/2uv+GtLlmttxfkkz9YI+U4EcisTSRDROHU29Izx3tJOGnpEzHnY0ExDLiiAIgiDEiczQFuNRl6pgzQbjJwOUAu3xsW35p1ne/nvKhk9SNbg/vhWu/nuO1h1FRYJEPLkEIv0s6noer7Z5dVteh6adKF1DUTB524/q/r00VlxpHD2NIAe4asUcjncmX5zYOThGW38wq4WBqTjSnt7Kcap7hKqizM9X4I0yHHVW3V892cM1pm6p001z3yiNPSOsmeu05DT1jnDvtlOA4ZX/8FVLHXPitPaP8sT+NnxeD9esnENtaR6eNCkzk+VE5xC/2GE0Xn+xrouN8yeRGjPLv4gQQS4IgiCc3+SVwmj23RfPKNHTW8TmVYZaCfmLaS7fSnP5Vq6r7IWOw4aoL19KW28pkfFUipayi2mouIr8UCdbTnzferDtd7Nq7YdTxvMVB5tROoJWPnKi6cXvvNI8LqgtYV+zSyfRcX700kk+ePliakryMnjFRhXYLWoPoHvE+n6W5flYXl3EjvreibFMm8ooIBRTrmIcYHAsfRqIFZuHXGtiMZ2RGB6LRCcaKO1rcr6XcTEOhlf+d3tbuHnDPMc8gMf2GMeJRKM8sb+NBeV53LA+SaZ/GobSvAdxMR7nm08e5UNXLJnUuWYrYlkRBEEQzm/mmqrMFcvP3nWkwq1CngUel/QT5qyGdW+byEBXlvkxYh4/Q4G5hHIrHbvO7dme9pzXHvpnLj/6NZa3Pp40OSQnnIgRvG3jPD50xRLeffF8bt/kjEME+M3rzWnPGyfutDje6bwhGAhaBeK7NlUxzyb0M4nVA0BrekPJ/ejBLC0rdl4+2cc3njzCd/50NG2n0K4s/dX/9tghhjO8YWjsGZ20feWIrbFT/0h4Ii3GzT7TNjBDv6maRkSQC4IgCOc3hVVQexHMWfX/t3fn8XFd5cHHf2f2VaNdsjZLtmzHS7zFjmOyQsgKIWyFFCi8gYatUKC0fVsKlOYtb8vSvmVJaFlC2ClJQ0kgEEiahZDVTmI7seN4t2Tt+zKa9Z73jzsazSqNZEkj28/389HHM+eee+eMdKM8c/Sc50D12vRjJXXQfOncruv0z9ynUKc5Q245cC/eUFfB/d2RfvOBstC18q3Z1+vam/Z8uHQ9OsemSs7YCJvavserD3yakmBb1vG6wafTSiXWlrhYVe1nXV0Jt+SYIR2eiPK9J48X9B4Gg2ZwmlmCDyCcUZ864LbhcaSPPxguPJD+eWdp3mOvFJAek0qlBKg9YRsPvjJAzNCMh+M8fLDwxaaZ8gW+P3nmZMFB+VyzQpRSjITM0oXPnRzkgf1dyfrpuTb4mWkDplwO94ylffg5k3bpBAnIhRBCCChvgdrzzbKBqaxO8NfM7ZpWuzkLPR9OMyBXSlE79Dyu6ODMnYFAcCq1IVi6Bi768PT9q+pRrtxlBMHcfXLLiW9jjafX8bYa0angP0N1iYuLW7MrsLQPTnA0x6x3pgfz1OvWWhOOpQeBTqvC60zP4i14hhzNM4O+aXsEC75Wut1D6WU52wbnvrlPrsltn9OG1vD0sdw/g/n0Pwd6ONIzzu7jgwynpAzl+gvC9ubyOb3GAy91Ja/5+KE5bJBVRBKQCyGEEPlMTtRVrZn9uRYb1G6A9W+CDW8Bf+3cxzEPi02XV3pxRqffaTIXrYFlmzJKLWbw1cCyzdNex6qjlAaPZbUrbVA5sp+G/idwh9ODqCtWV3NRS3Zw9ugrU1uua60ZCUUxtObpY/18/v4DfP7+Azx8sCfnrHAwkh4AOpSBxaKyZsj7xiIFpWgcG5p5Jv1X+7I3Dcpv6jWfzwjI8xkNRQlF49OmtOSq9hKOmW2RmMGpoQle7hohFs+/CDf1+zkaKvxDosJcmJtL5l8rgDmnxkxu3FTojP9SIos6hRBCiLwSEXnVeWbJQasTRjvMLepnYrEn/k0EejlSOgpmnH6AsbLKh8tuoXskzPLywgI9SISHFhtc/HF45PMQzZylVVCzHspXoI8+Mu1iT0+kj8y52JKJNjyJQLx8/DCnnOmB/8WtlTx1bCCtrWM4xOB4BJfDyh2PH2Mox86ND7zUzV/fvZfVNempQ9994njac7/dQAFepw2LSp9J/s9dbdy0vTHv4lCAB47P/LOZXdrK1AByZW683DnCecvS/xrx02ey04Ey5QpSo3FNNG4wMB5NLgbd3zHC9efnXrw5EY1zsnuUhjIPfzg8PzPQXcPZHzZDsdPLuz8TC65IQC6EEELkY0uUvbPazaATzIC8EJaM/8UugU2H6ks91JcWHoxDyqxoyTJ4w9eh43mz/GHHC1C6HFZfA94qAJ5f83H8gy/jC3djWGzUDz6Tdq1cKTPO6FQ1EFck+7jLbuV/X7OGLzxwMK399kePzDj2u3a386nrzksG1EPB7G3X1/onQGssSmWldRztG2fXicFpUyjKXAqG00+0K4Oonv3Pu38szN62AdYaXlb5wrwyll128aGXe7IC8kLkWtwKZqBut06NtX8swv15ZvT/5+UeekbCOGyDRHLMbM/FgweyU4vC0elm6We+ZmofrTU/f/4UB7pGuXFTHRvq51BScRFIQC6EEEKkqr8ATu0288krV8/9Ohbr9M/PVHVbzK8cwu5ahqxVyefD7ibWddydfN448CSdpdsoHT/GsKeJUXfDtDPqk2xWC2uX+TnQOfuUm8cO9XH5anNM3/lDdsrMck+E8vFDjDtr2NQQYE9GucDHDvXSWuWj1GNPmymfLKu4uzs9eHxnQz8eq8G3TlSltYejcZx2a/LcX+7tZG+izGOpx84tl6zgzieOE4oZPEH6uakicQNrPETZ+BGiVi/D3uaCvg+TO6xmOtY3zpam9O3o8+2GOZkSMttgPNcs+CSPzSCzwmT4NGfIU3378WP0JNJlfrGngyq/k5qS+alnP58kIBdCCCFSlbeYlVdsrtxBtCNjR0b/MpgYgLJm6E2dxc0INM+B7Qcza2VHrNm7V1549GvJx6/Uvp6TlZdlX0hrXNFBwjY/OpH601jmmVNA/vjhPsq9DsbCMUI5Zl5fXTmKZWIU/0QHm6u3sac9/XgoaiRn4991YSO/erGLwWD+/OkWb5jlnkhWQD48EaU6EZAf7RtPBuMAQ8EoX/pt+l8A8glG4oQ69xOwmTPLEZuPCec0+f0J+XYMzfU9WUyrfWF6g+kfCHLllRfqpY7htBnynozc9YcP9nDT9qY5X3+hFP/vZ0IIIcRS4/Dmn9Gu2QDWRADRfAk0XwxrbzDbUy3BlJW5mM3HiApvepWaqC33dvKTVnf9kjUdP89qrxzdT/3A0zT2/yGZf7BxLrs3Jty7p4P/eTk77/+f1rWn5WmvsvfmzNue9MNn2qYNxgFqnTGsCloq0t97ap57rk17ZqM9ZfGmP1RYbfbH8+R8H+2bXVnG+RbJEXufTu32Jw738+SR/FVjxmdRznIxnZm/HYQQQohisTnhvNeZQXhq5RSloGnn1POShozzCtthcklRsKJq+pJ+qZorPZT5pmY7Q/b89bknNQ48yWv2f4otx79JY//vscaCBIInAbDHJ3BHzEDSabPyideuynmNCq+DD7f08NqqET6xMne5w0zn+SaocaUvdPTa4ep1p1ENBzMFA6DUlR7Zd6dsdmMUkgg9ja6wfVb9g4P5vyfH+4M5q9Eslkg8+xPQYDC6YGNqLF+a/x1KQC6EEELMlsWaXbMcIFAPq66CVVeDN6OGtnvm4HQp2dRYyo6WClz2wnPfbRYLWxrL2JmoHx61+ej1ryvo3LLgcVZ1/5r3PnZxWvlDi56aQvU4bLymNX2m/IKmUj54WQvbyoK8o3GA8wMT/MXF2fXLM/1Fa+4g9YLlZVy3YW5B+asrpzajWUF65ZPJGXJDaw50zT71JlVXaHYB+djo9PXn86WzLIaIkftPEguVSvPs8cJq8S82CciFEEKI+eQKQK5NclxLs7rDpNSNcRw2CxU+Z9ZmOYVy22201vgJeBzYdrwfVl1DxOplzFlYoLvzyL+yrv2nWIwooFHGVLrHZSv8fGPzCf5uTSdfXN/Odesqsej0me4yt40VVfnTZTYHgtimiYC2189tFrXGOTWOCnv6mCZ3/pwunSKfzFrs+0dnN74ZsmymrWqy0PJlkPSP565bnkv56EFqhl7AFk8vyWmN5a/LvtTIok4hhBBiMdjn4U/lnnJwBmAwu1rI6TpvmZ9dxwcxDM3GhtOfzW8q99A0We9849t43H558ljZ2CG2nPzutOfXjuyldmQv3SXn016+kxNVV9DvX4tFGzgtmpVeM2Ab07GsPHelDa5dV5u3NOKWQO5ALRA8Qb9vNY0DT3DH1jC3Ha1i99D0efCp1vin0lJc1vQg93DvGKeGJngkZVOjQtT67exYUZFVi300ZsFvKyyQfqZ7+vSPiWicslmNav6E88yQqwJXL3hDnZSNHwXAaoToKL8oeSweO70dbheTBORCCCHEYmncAT37ITyHlIXGHVDaaD5WCgaOzuvQPHYbF6+sQGuzzOB8K/HYGUlM1Q76VvHoms9SNbqfirGD+EKdeCO5Fx3WjOyjZmQfq7p+ye/XfAadsdjWomOorHhTU+Z18HfXr+Xe3UfZ150+27qz3FzIWBI8SclEG1YjimGxMuRpoWZ4D9a42f/PVvQCZgD9254SftFRau6D5IxyPJidstTknqrfF7BlT/3embEp0aR3N/YxHLNS4Yhzx4n0iikXNvqydhEF+NjeqUohWxo7827mA3BoKO8hAE4OBKkrnZ/c6rKxQzijI/T71xC1zbz+IF/KStQo7MOGL9SVfOzOqGMfjZ85WwRJQC6EEEIsltJG82vf3TP3TeWtmgrGAewZm/v4amCssMWM07HmqVU9H9bXldA+OEGZx8HetiHiVhddpVvpKt0KQM3wHtaf+s+855eEOnjdng/R419Pb8l6YhYXw+4mLEaM6pEX09+HESUwfpyY1cVbK46zr3sqWL2obAwHUc4/8UMqxg/lfK2nVn6coLM6re3q6hGuqhpJVq9sn7DzDwfqiCdmcv9pXXtaZcvlnty1vDP9y4Y2yhxTwXuLJ8xnDtQDUOWIsrHWSWP/72Ga2uTPtw1x6apK/K7Z5ZZPsk5XWmYGxlA7e4534XHYuLqsE1viUo74GCcrL5/+ZCCSJ2WldzRMc0Xhf53IJVdA7liAD5vzQQJyIYQQYrGVNcPg8Zn7+WrMSi5lzentmQtKmy+BF/9rnga3MNx2G6uqE9vYK7LKtHcHNrF+x2vhqW+YO4HmUT36EtWjLyWf1w8+TWfZNiI2P2gDUNQM75k6wQU31A5xf3eAameUG5YN09L7UN5gHOCiI//G0ys+xrirJq09NeBucEe5dW07r4y7Ob9kgnJHemRpUbCxJMjekfw7o15SMZoWjAPUu6N8ZeNJesI2GtxR7CPdWIwYV1Y5eag3/w6d33vyBB95dWt6ozawGTPnYs91101Da+7YPUB32AycR4JlrPOH6IvYuLBsHHekH1dkCGd0iKCzihFPdv3vfCkr9nkInKOZW68C0biR3NRpKZGAXAghhFhsDdugohVOPgmR8al2byWMp6RueMqhMkepv8yAfDbBha8axrJrcs+aUoXtY57Dmlo/B3Nt8qMscNGHCfYc4dixI/gnTtE08Idpr7Wy93e09D6EBQMDKxbMAHfQ04wnMoAzNsJrgI82vY4RdyN1A7uoG9o14xh3HP0KexrfTb9vzdT3Vxu09D5ES9/DaX2f8X2UCaOcFT2/o3pkH87YKFGrmxLXhbyTmwnjyPEKsKNsPGe732bgtyVm2A1zcWhZxiLRTMMTUSIxA8fkalVt0NT/e+yxIBaWY6TkZG8rHWdXSm78XOt+j7a9SHdKCcbf9gT4bY+5ePnBnhJutTyTXDzrDffgCfeilYU+/1riVhda67wz5PaxUzgjmrBjbtntJcET2AYOA3Vp7RqIGxqbVQJyIYQQQrhLzaC8MzGbW1IPy3dC517oe8Vsc+VZXOlOCVImg8XyFVN55RUrzaA7NVe95XLzNa326VNm6rfCqfwz1Elr3wD7fzFzvxwyt3Ef9K2kbCyxAFMpjNJmugN+ugObOVl5GRvafkTpxMm817NgJP6diu7KgsfT+qzurOArvwAAHh5JREFU/tWsx7mp7ftTY/S0UBbMvZg2dffRSfb4BNvGH+Wg61E+EPkEDxjbs/qsL8m/pXymMvvMQfPDBzp5w3k+HNGRZBrPeMySFowDtHrD6QF5ITPk2sAVHSJsD6CVFU+4h96xQfKl0nSF7XxsXxNf3tCG22p+cPOGzQ+CFh2ns2wbcUNnjS35cqFhGgZOcqT2upnHlkPVyH4OGTlKkwKxWASb1TWn6y4UCciFEEKIYqlohfAIxMKwbJPZVnu+WSJRWcy65rnY3WbgPNQG1WvNtpr15nWUxdw11Ng7FZCXNoEvfw5yGmvu2dzsfrPIV7ZYzTENnYSJwbQJfcNiY8C7iojVB5gL9FLD9YjNz3MtH8QRHaZ2eA9l40emTTeZrWF3I7ubP4DViHD5wVvz9ssXjBfiPxz/j49FPswvjEuSba+tGsnbv37gSdZ03Zd8/mTrJymxzxxA7mob4cNVe5PPXx518cVD2aUm/RnBfXiaGXJrPETc4qRmeA++UBdxq5MRVz1l40c5rKdftDkRt/Bne5bzqdWdtPqmUmc8YXOhrHfk8LTnAigjikJTPbwPgJ7ARgzLDPdeonZ9vgWj1X1PM1J36fTXWGQSkAshhBDFohTUX5DdVrZ85nPLV5hfk2xOc4Z9UuUqiIyBwwvLNhc+Jqc/d3vTTmh72gx2SuqnxjBw1PwQUNqUPy9+1TXg8Jhj2nd32pxor389KMWYuw4CdhhuI9ekacQe4GTlZZysvAy0gSM2Rs3IXpb3PYojnjv1YyZjzmqea34/KAtxq4uT5RfPmCIzV19x3M67jAf52+ifclLXcJHrBPUDLxK2lbDu1F3ErG56/Wux6lhWSs3Ow//CDizcyW30E6CEcT5l+xE32R7hkfgm7o5fxi+Ni0j9xv2yK8A9HenpHn6CRLHisqTPiB/oGsU30UHQWUkgeAJnbJQB7ypKJk4SCJ4kbA/gjA4DYI2Hk2UGx2OF5Xn/31eWccfW41ntwf52IHd1mMmAvHz8MP6JU1gTtehbeh6ccdZczRCQx6MR/KFOoDXn8WKQgFwIIYQ4G7lKYMXMVS6yzwtA6XIYOmE+VxZovNCcrXdfA5GgmesOULvR7O8uM/vlCsj9y8xgPMXkgrq41WkG4pMstsRx8+mR2utAazY3lbLn5AArun+bHFPEXkJbxSW0l11E1eh+nLERrEaYkok2DGVnwlHOmLOWmpG9VI4dTHv9uLLTHdjIwWVvRKupkoKHa64j6Kxk2dBzBCbSd9qcD9str/Cg86/NJxnlyG2xCI2DT+U914LBbteH6NUBqtRwsv0K6x6usO6hJjrId+LXc9uLFl5f3sEvusyqPDZi7LTs5weOf566WAc8qT7LLn3e1Ov3vkhLygJTb2iqas9kMJ7p4OjppX3sG85fanEsZuHDLzQRMqDOVcWn13Timkx9CXVnLbhN0hp/qAOAsJH7A0PEsOCf44e4hSIBuRBCCCFMK19j/luz3vzX6ZtKiQFztt2RUorOajPz1Se1XmmmzVjsEI+YM/SBlHKNCZPzlobKqK/tr4HBYygUw5MVOZRiW3M5L7QN01W6ldqh9Px2bbHRE9iY9y11l25B6TiO2BhKx5M50H3+tdjj4wSCKbnpykJH2Q46ynagdJyK0ZepH3wmLUUm6KhgT+N7mHBWYjGirO24i5qMsou7m99PyUQ7q7rvzzuuuUoNxlN9xv5DPmP/oflkCC5wtHBL5JN82/Flzrccz+p/t/NW/ir6fn4Xv4AVqpO+oJOKHNlKhjZLPHqsBpXO9NSWPRkVZKoY4tuOL7PJcpQfxq7k07H3MvnTztzIqKH/CX46lj8gf3546j7rCDn4dXeAN9WZBdUdsRHGMQPytjHFgyeq8FgN3lo/hCfSS9WIWYUnmmeGPGwomsZybxpVLBKQCyGEEOea5kuh90B6RZe6LWZVFzBntBuzFyHOyF1ARYxAAySCoTFnRn6zvw5qNmCEw/SPTgV7SilK3DZGqKG9/CKsOkr18D6sRv5a3+3lF9EwYM44a2UlbA/gddkYpYohbwthu1kNZNRVR8PAU0RtXoY8zclgTisrfSXr6StJfDjRGpsxQdziQCszfDIsdl5qeAcvAc2Vbk70jiaPDXuaARYkKC/ERssxnnZ9ZNo+X7J/EybTsTvgedvN+EJdRG1eenzruKu7ll91mwuLz1dH+XvvPVQFvBypvoZg3MY6dZz7nZ8C4LPR93C5ZS+bLGY6y7tsD/Eu20PcEbuWL8Ru4kdt5fxZUzulwROMucyf+5Hxqfvlceef06DM+/G7sWv4h9h70sZ6X1dpMiAvHzvMsKeZmLLx5b0ONObizYm4hY/YdyfPyZeykq+9mCQgF0IIIc41/hrzq+8wdL5gLhLNrHW+UKrXwsgYIx4/g94V6ccsFqg+j3goij6WnjJy5doa7n2hg7i7nBs21/Nfz5ahMHOKy3wOxkIxojGDuMVBV+kWwo4yjtRcizvST8TmI251cfPFzXz3D8fTrht2lKXlJNuM0FTFl1RKEbPmrymOsiSD8UltFZfQXn4RvlAn2499o5DvTpoBzwpsRpiS0KlZnzsXW05+N/l4HXAF8Eb7Vq6yJv4qEQP6YXn/7/lV419yv/PLyf632r+X85rvtf2G99p+AxNASubQ8corgPcD8Lzz/ZSpseSxm20P0K9LWGU5RZuu4rbYjUzgImoo7BYzbaWl50F+cLIczVRt9ueGvaTmAkUMhY0Y/2a/nddbn+JDkY/xa2MHY7HsnU+LTQJyIYQQ4lxV2WoG5naPWQllMbgC6OZL6R1IDzJTd4tM1tJOUelz8o4dTSgFTpuVnatreeJwP93lF3BJxUksVitq9dX8+uAIoeFERQ+lmHBObUVvy7PZTJXfSe+oec6AbzXjjioqxg4RdFYw7qxl2dBu7DEz5zhkLyXorKJ8rLBKL1rZGHU38sh5/4A70k/M6sYT7sEVHSJkL0NhMOasIWLzo9A4YqM09z7MiKeJzsAWPJFeth+9HauOZl07ZPUTi8fwMVHQWOYiGYxneF3bl3O2F6q57xG+YIO32x7Jefwv7XdN9VVd/CB2NV/YE+CYruVrm9pAKx7uK8FDiF85/pYWSzcPxrfQH347FU4DV2SAWwdu5UuuqdKS33B8hQ9GPs6TAxvYUb60csiVnmNR/7PFtm3b9K5dM28QIIQQQoj5MTwR5WfPTs2Al7htvHpNNdUlU4sE97YP8XLXKFubSmmtzl35pWs4hM9lw6ci5qJSu4vhYJSf7cq9IPOWy1bwrceOZrVvXV7KcyeGph2z0nFckUFC9lK0xYYtPkFJ8CQTjgrqBp+lucrL8d5xc7Gh1sma2/NJ6Rgb2n5M1djL9PnWsK/xXfj6nmd77z3JPj26lGqV/V72NryLvpJ11A49z7qOu7KOn2lWh75HJcN8x/El1lqmft5HPJvoqXstOw//S95zm0M/5m9Wd/LB9/7pYgw1jVJqt9Z6W2a7zJALIYQQYlE5Mmaq37K1IWv2emNDKRsb8myMlFAbmAzgp8KZgMfOm7fWc89z6TPwF7dWkktThYdNDTMH5FpZ02bbY1Y3A/415qtbLcna6QPeVUTsfhzRUcrGDxO1evCHOrDFzZnajvILcUaHqRg9mPkSM9LKxr6md6e1jVZt417Pebw84uD2ztUAXGnZzVfst+FTIcac1bzY8E6CTrMOfVdgE5WjL1E9un/Wr7+UvOJ6T872lcE9rDy8Z9pzj7vewZuP/CM3BSOUegqsu7/AJCAXQgghxKLK3LZcqfldZFfhc3LLZSuIxg26hkOEY3FaKrM3sXE7rFyzPnvjnNlaselSaiZeYd9EBRG7OZsfsfvpLt0CwLirFv9EO2OuZYQc5UzYy/GGe8wZd0cZHWXbkyUdY1YXI+4mysdeKfj1fV4fF/gs/H1rCe2dHSy31/KM+7O5OysLLza+C2d0GF/PLr7Wu5knjXVcbtmDX03wotGMiwg/cPwzHhXOfY0Z7Gt4B9Uje7ENn6BCjc58QhHcY/80tz/6Kj583QUzd14EEpALIYQQYlHZM2bDLQtU9MJutdBYnr4Qc+2yEg50mrtkbqgPJNsdNguRjC3k37GjiR8/fZKZREtbsK9cz2WtsbRUnElheyBZ1QUApThVfhEWI4JhMWdoMze7GXUtY3nfo8nnJysvwR6fyFldZtiznH7/GrSyUuetpqHnwawxtFe8CrSRrDwTtgcI11+JzxJgvNPN/cZFaf3Xhb+LlTjVDBHGjgZG8PKXtp/xIZu5i+gD8W3cGv0T/sT2IB9MtPX619FbsoHekg38hDIe73GyXh1nq+UQg/jZadnPm62P5/w+3sJn+Bb/J+exhdB05EfA0gjIJYdccsiFEEKIRbevfZg97UNsqA+wuXH61JT5FI7F2XV8EKtFsb25PLmYtGc0xG9e7CIcNXDYLFx//jKq/E4eOtDN0d5xagIuuodDOa95zfpamirMwP/nz7fTN5q/HONsKB0HbaAztop3R/qpG3gGgKCzks6y9BKVK7t+nXw86F1B2B5gPFFqMPXYpPYJO989UUmdK8Jb6wf5xL6mtOOrvCEOjU+/CdBP1z+N0jr5OgC/7irhro7yrL6XWfbwfccXks8/Hvkw/21cgscaJx6P817rb6hXvTxrrOErjtunfd3TMbLjE5Rc97kFu34u+XLIJSCXgFwIIYQQCVprDJ1e9SUYieFx2HIuCAV43yUtWBL9hyei3PvCKUJRI6ufzapw2Cy0VHp56dTI6QySsvHD2Iww/b7VyVn2SYHxY5SPH2bY3ZTMc5/kDXVSO/QCABGbj6jVjTdslgrs969hwl7G2GA3X9xtxoc7y8d47/I+bnm+Oe9wPr/uFMtc2VVgHu7184O2ipneDJObB32guZf/OF41bd/jrnfOcL3cjhjLWGnpTD7/XXwrV3zuoay/1iw0WdQphBBCCDEDpRQZKe54HGa4dMWaKh452Jt1jiUleA+47WxrLufxQ31pfW7cXJdWRWZLYxk/fOrEXAfJoG9V3sPD3hZzY6IcufnjrmV0lllxxMYY8jRj0XH8E+3ErJ7kdvT2mjLu2PprDG2mE004yvjcxkE+tzd746c3NkXSgvG41cmgdyWVI/tZX1JIOUZzjJ9s7WKtPzRDQK5oDX2fwy5zYeuD8S18LPoRJnBy1PWutJ7viHyKJ4117LC8zJD28bJu4lLLXt5kfZwXjJXcpa/kwCIH49ORgFwIIYQQogArq3w5A/JCZFaRcTuy676n5reftmkWygad1QSd1QAYysKwtyWrz8nKS2jsf4K4xU5PYBOqJM6/Ol/iL56d2ojnHRc20VLp5ZixltLxY0RtPkbd9QCMO6vRKFyvnMj514JJF5SOs7N8nPUludOBMsWw0Rz6cVZ7c+jH1NJPN2Vopr7XTxnrko9/b2zk98ZGACwsrQwRCciFEEIIIQpgsSheu66GB/d3J9tyxb2WOVSNCbjt7FhRPn8B+WmK2vwcrb7KfKLMALe/agd/d312X8PiyEqNiVndAHzyqjU8caSPh/N8kHnL1gZqh55PPr9heYz7ThQenta5IgTscQ6MuulipvSYlDGzQCuJ50gCciGEEEKIAjVXeLhkVSX7Tg3jd9q4oDk7jcPnyg6vZlyzp8yqMKtr/bzStURKBar5SenY3lzOK91jnBpKT2G5YeMyxp0BwvYSHLFR+vzrWF/dSLfq4ZnjA/hdNj66sxprsJshexVfe7wree4nW7soW76BkKOcxs7f8YEXls/LWItFAnIhhBBCiAIppVi7rIS1y0ry9qkvddNc6eV439T27JkpK5kmN0u6tLWS9sEgwXAcgOoSJz0jc6sHvlTYrRbes3M50bimZzREld+Jw2pJ1p9vL38VFh3FsDiwAletq+GqdTXJ8w13gBLgU9eVEmh/GK8lgseqOWYvNTds8tbz5rpB7unI/nAEUOuMsqMiyC86pkpP3ripbiHf8qxJQC6EEEIIMc+uWlfDM8cG2NM2RGO5h4DbntUnNdhurvQCZlrMO3csp20gSDgWp8rvylnb/EyjlMJhUzSUeXIdxFAz75iplCJUux1n8DhdzmqMRDnIfv8arml4iuvqO+ko3cahESu/3NvJSucQ727qx28zOFW2nViFjcM9Y6ys9rK+Lv8HqmKQsodS9lAIIYQQC2QiEs+5gBNgOBjlsUO9eBxWrlhTnVZqMVW+cotzlZkHf1bQGtBpaTbeUDdVoy8RdFTQE9iU1r3EbePt25tYbFL2UAghhBBikeULxgECHjs3FJA6sbmplBdODuU9npkeMxPvNGM6YykFGQs1x101yVKOmSZLWS4VS6cAoxBCCCGEyLK9uZxKf3ZKx/q6Eq5cW80Va6ar3S3OBBKQCyGEEEIscddtWMaG+kBa26oaPyuqfLPebTJXFZi5uHFzHX+0rWFernWuk4BcCCGEEGKJc9mt7FxZwdu2N7KqxsfFrZVU+Z2zvs6rWitypmu8eWt9Vps9c8vSPOM6E82hVPyCWloJNEIIIYQQIq+A284Va6rndG5DmZv1dYGs9jduqafC5+SPtjUQjMQp9zoIxwwCbjttA0EO94xxuGcs+4KJ2ulnIrXENgY6M7+LQgghhBAir1efVzXtLHBLosxiwG2n0mfmp5d6HNSVunHZrckyjY3lHpZXZJcq9LtsVPmcWC1KctjngQTkQgghhBBnmdZqP398YROlnqn6543lU4H1FWuquHp9DW/YXJfcoCefXAWyb9xcnzxvVY2fWy5bMavxbWkqnVX/+bZjRXlRXz+TBORCCCGEEGe4129alnz8qtYKALxOG1evr6Wu1M2qGh/rUnYXtVktLK/wFpQDnrllzU0XNuYs53jN+lr8BSwYVQo2NZZyfkN2+sxMAh47F7acfjBd6Zt9/v1COitzyJVSXuB2IAI8orX+UZGHJIQQQgixYJYF3Fy9voZwzGBllS/ZHnDbed3GZdOcOTOvMz349ruydx0FaKrw0FTRxFg4xs+faycUNXL2u/niFqwWxUUrKjjWN85YKAaY1V+2NJWiNTx+qA+AK9dW84cj/cTiBq85r5rlFV56R8On9X6WogULyJVSjcD3gVrAAL6ptf7KHK91B/B6oEdrvSHj2LXAVwAr8G2t9T8Dbwbu1lrfp5T6T0ACciGEEEKc1ZZXeBfkussCbpoqPJwanODi1soZ+/ucNt65YzmG1mjgsVd6Odo7tXFR6oak166v5bFDvZS47FyxpgqlFIahsVsVTps1kcPuxdD6tBaQrqrxcag7x8LUJWIhZ8hjwCe11s8ppfzAbqXU77TW+yc7KKWqgQmt9WhKW6vW+nDGte4Evo4Z4JPS1wrcBlwFtAPPKqXuBRqAfYlu8fl9W0IIIYQQ55Zr1tcSNzRWS2HVSSwWhSVRyeTKtTUc7T2aPJaas17mdXDj5vqsc1ur/cnnVovCmlIVxeecffh6+eoqTg4ECUcNWqt9M5+wyBYsINdadwKdicejSqkDQD2wP6Xb5cCHlFLXa61DSqlbgDcB12dc6zGlVHOOl7kQOKy1PgqglPopcCNmcN4AvIDkyQshhBBCnLZCg/Fc3rS1nsM9Y2npNHPldpg12Q/3jDEajhGK5J97DbjtvGZtNUop3ratke6REPWl7tMew3xblBzyRDC9BXg6tV1rfZdSqgX4qVLqLuC9mLPdhaoH2lKetwM7gK8CX1dKvQ64L8+YbgBuaG1tncXLCSGEEEKI2ar0Oed1IeWG+gAb6gNE4wYn+sd5+OXerD7XbqhNqyzjslsXLK3ndC14QK6U8gH/BXxcaz2SeVxr/cXEzPY3gJVa69kk+OT6qKa11uPAzdOdqLW+D7hv27Ztt8zi9YQQQgghxBJht1porfazLOCmZzTMg/u7k8eW2m6c01nQdA6llB0zGP+R1vqePH0uBTYAPwf+fpYv0Q40pjxvADrmMFQhhBBCCHGG8jptyc2OJs1UX30pWbCAXJnfhe8AB7TW/5qnzxbgW5h53zcD5Uqpf5zFyzwLrFJKtSilHMBNwL2nN3IhhBBCCHGmc9rOnGWECznSi4E/AV6jlHoh8XV9Rh8P8Eda6yNaawN4D3Ai80JKqZ8ATwJrlFLtSqn3AWitY8BHgAeAA8DPtNYvLdxbEkIIIYQQS9WOFeUoZdZEX2qb/0xH6cztl84x27Zt07t27Sr2MIQQQgghxDyIxAwcS3R2XCm1W2u9LbN9aY5WCCGEEEKIOViqwfh0zrwRCyGEEEIIcRaRgFwIIYQQQogikoBcCCGEEEKIIpKAXAghhBBCiCKSgFwIIYQQQogikoBcCCGEEEKIIpKAXAghhBBCiCKSgFwIIYQQQogikoBcCCGEEEKIIlJa62KPoaiUUr3ACSAADBd4WiF9C+lTCfQV+Jpnmtl8P8/E15+P65/ONWZ7rtzf86vY9/dCj2G+rj3X68zlvELPma9+Z/P9DcW/x8/m+3su58rv8PlVzPt7uda6KqtVay1f5oeSb85n3wL77Cr2+14K388z8fXn4/qnc43Zniv399L7+S/lMczXted6nbmcV+g589XvbL6/5/MeWIqvX+z7ey7nyu/wpXkPzOeXpKxMuW+e+87memejYr//hX79+bj+6VxjtufK/T2/lsL7X8gxzNe153qduZxX6Dnz3e9sVez3fzbf33M5V36Hz68l9/7P+ZSVYlJK7dJabyv2OIRYCHJ/i7OZ3N/ibCf3+OKSGfLi+maxByDEApL7W5zN5P4WZzu5xxeRzJALIYQQQghRRDJDLoQQQgghRBFJQC6EEEIIIUQRSUAuhBBCCCFEEUlALoQQQgghRBFJQL5EKKW8SqnvKaW+pZR6Z7HHI8R8U0qtUEp9Ryl1d7HHIsR8U0q9MfH7+xdKqauLPR4h5pNSaq1S6t+VUncrpT5U7PGcjSQgX0BKqTuUUj1KqRcz2q9VSh1USh1WSv1NovnNwN1a61uANyz6YIWYg9nc41rro1rr9xVnpELM3izv7/9O/P7+X8DbizBcIWZllvf3Aa31B4G3AVKbfAFIQL6w7gSuTW1QSlmB24DrgHXAHyul1gENQFuiW3wRxyjE6biTwu9xIc40dzL7+/vTieNCLHV3Mov7Wyn1BuBx4KHFHea5QQLyBaS1fgwYyGi+EDicmC2MAD8FbgTaMYNykJ+LOEPM8h4X4owym/tbmb4A/Fpr/dxij1WI2Zrt72+t9b1a61cBkla7ACTwW3z1TM2EgxmI1wP3AG9RSn0DuK8YAxNinuS8x5VSFUqpfwe2KKX+tjhDE+K05fsd/lHgtcBblVIfLMbAhJgH+X5/X6GU+qpS6j+A+4sztLObrdgDOAepHG1aaz0O3LzYgxFiAeS7x/sBCVTEmS7f/f1V4KuLPRgh5lm++/sR4JHFHcq5RWbIF1870JjyvAHoKNJYhFgIco+Ls5nc3+JsJvd3kUhAvvieBVYppVqUUg7gJuDeIo9JiPkk97g4m8n9Lc5mcn8XiQTkC0gp9RPgSWCNUqpdKfU+rXUM+AjwAHAA+JnW+qVijlOIuZJ7XJzN5P4WZzO5v5cWpbUu9hiEEEIIIYQ4Z8kMuRBCCCGEEEUkAbkQQgghhBBFJAG5EEIIIYQQRSQBuRBCCCGEEEUkAbkQQgghhBBFJAG5EEIIIYQQRSQBuRBCnMOUUnGl1AspX38zj9duVkq9OF/XE0KIs5Wt2AMQQghRVBNa683FHoQQQpzLZIZcCCFEFqXUcaXUF5RSzyS+WhPty5VSDyml9ib+bUq01yilfq6U2pP4elXiUlal1LeUUi8ppX6rlHIX7U0JIcQSJQG5EEKc29wZKStvTzk2orW+EPg68G+Jtq8D39dabwR+BHw10f5V4FGt9SZgKzC53fYq4Dat9XpgCHjLAr8fIYQ44yitdbHHIIQQokiUUmNaa1+O9uPAa7TWR5VSdqBLa12hlOoDlmmto4n2Tq11pVKqF2jQWodTrtEM/E5rvSrx/H8Ddq31Py78OxNCiDOHzJALIYTIR+d5nK9PLuGUx3Fk7ZIQQmSRgFwIIUQ+b0/598nE4yeAmxKP3wk8nnj8EPAhAKWUVSlVsliDFEKIM53MVAghxLnNrZR6IeX5b7TWk6UPnUqppzEnb/440fbnwB1Kqb8CeoGbE+0fA76plHof5kz4h4DOBR+9EEKcBSSHXAghRJZEDvk2rXVfsccihBBnO0lZEUIIIYQQoohkhlwIIYQQQogikhlyIYQQQgghikgCciGEEEIIIYpIAnIhhBBCCCGKSAJyIYQQQgghikgCciGEEEIIIYro/wOjqIX0nlk0cQAAAABJRU5ErkJggg==\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
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ntddeY/369UHb1t56PRHLAYPfAEqttdustfXAs8CUtitZaxdaaydZaycNGjQo6o0UERERiVeRGNQ7YMAApk6dyrhx45g9e9/nOfnkk2loaODwww/nxhtv5Gtf+1q3X2v+/Pnce++9TJ48mcrKyubl55xzDsuWLWPSpEk8+uijjB07Nmjb2luvJ4zLh44+Y8x/AQ8Bk3FpGw/jErPvaW+bSZMm2WXLlkWngSIiIiIe9Nlnn3HIIYeEvH7J6hKKlhaxrmId+bn5zJ4yW+MU2gj2mRpjlltrJ7VdN5Y5z+8aY54G3gcagP8A+879KiIiIiLdpkG94RXTahvW2l8Bv4plG0REREREQqUZBkVEREREQqTgWUREWonRUBgRkbgQ60lSRETEA6qr4bHHYMkSqKmBUaPgpJPgm9+E9PRYt05ExDvU8ywikuR274brr4fnn4ddu6ChAdauhd//Hq66CoJM+iUikrQUPIuIJDFr4a67XIA8YgTMnw9PPeWC6eHDYf16mD0bPvgg1i0VEa+oqKjgvvvu6/b2d911FzU1NZ2ut2TJEr797W93uM6KFSt46aWXut2W7lDwLCKSxJYtg3ffhawsuPlmGD0aeveGqVNdIH388VBbC3Pnwttvu3qx04unUzC/gOnF0ylZXRLrtyAiURat4DkUCp5FRCSqnn3WXZ91Fgwe3PqxzEy45ho49VSXynH1TV9xyQMLKKsqIy8zj7KqMmaVzFIALRIPysthxgzYvr3HT3X99dezZs0aJkyY0DzDYFFREZMnT+bwww/nV79yVYirq6v51re+xRFHHMG4ceN48sknufvuu9m8eTPTpk1j2rRp+zz33//+d8aOHcuxxx7Ls/4dFPDee+8xZcoUjjzySKZMmcKqVauoq6vjpptu4sknn2TChAk8+eSTQdcLNw0YFBFJUmvXwscfu57mk07yLSwvh2uvhaIiGDAAY+CSS8AYmHNvKXUvX0bu9+7HDNlAdkY21EHR0iJNwCDidYsWuYENY8bAnDk9eqpbb72Vjz/+mBUrVgDw8ssvs3r1at577z2stZx22mm88cYbbNu2jeHDh/O3v/0NgMrKSvr168fvfvc7XnvtNQYOHNjqeWtra7nkkktYvHgxBx54ID/84Q+bHxs7dixvvPEGaWlpvPLKK9xwww0888wz3HzzzSxbtowFCxYAsGvXrqDrhZN6nkVEklSJr8P4xBNd2gbQ8gO7sGXCV2Pg4ouhKX8xpjGLshdnUl85AICs9CzWVayLbsNFpGvKy6G4GIYOdddh6H0O9PLLL/Pyyy9z5JFHctRRR7Fy5UpWr17N+PHjeeWVV7juuuv417/+Rb9+/Tp8npUrV1JQUMCYMWMwxnDuuec2P1ZZWckPfvADxo0bx1VXXcUnn3wS9DlCXa8nFDyLiCQha+Gdd9ztE07wLezgB9YYOPy010jf70Ma92RT9reLaarrRU19Dfm5+VFvv4h0waJFUF/vcrHq61sdHIeDtZY5c+awYsUKVqxYwRdffMFFF13EQQcdxPLlyxk/fjxz5szh5ptv7vS5jDFBl994441MmzaNjz/+mBdeeIHa2toerdcTCp5FRJLQ6tVQUQGDBkF+vm9hJz+w1x13NTnTf4/pt4m9O4bw5Us/Ym9DPbOnzI56+0UkRP6D4pwcdz8np8e9zzk5OVRVVTXfP+mkk3jooYfYvXs3AJs2bWLr1q1s3ryZrKwszj33XK655href//9oNv7jR07ltLSUtasWQPA448/3vxYZWUlI0aMAODhhx9uty3trRdOCp5FRJLQe++566OPdr3KofzAFo4p5L7v3M6hZzxNY3oFbJ7IqdXPKd9ZxMv8B8VpvmFuaWk97n0eMGAAU6dOZdy4ccyePZsTTzyRs88+m2OOOYbx48dzxhlnUFVVxUcffcTRRx/NhAkTuOWWW/jlL38JwMyZMyksLNxnwGBmZiYLFy7kW9/6Fsceeyz7779/82PXXnstc+bMYerUqTQ2NjYvnzZtGp9++mnzgMH21gsnY+NoHtZJkybZZcuWxboZIiJx74or3IDB//1fOOooYN48eOAB6N+/ZaWdO12yc5DBRR9/DDfe6KpwXH65m4lQRKLjs88+45BDDglt5TPOgH//e9/lkyfD00+Ht2FxLNhnaoxZbq2d1HZdVdsQEUkye/ZAaSmkpsK4cb6Fy5e7SHjbttYrL18e9DnGjYNLL4W774Z774VhwwKeS0S8QwFy2Cl4FhFJMqtXuwGDo0dDRoZvYTd+YL/5TfjyS/jLX+A3v4E77nBBtIhIIlPOs4hIklm50l0ffHDPn+vCC2HSJKiqcjMUVlf3/DlFRLxMwbOISJLxT7gVjuA5JQVmz4b994eNG+G22yBCY3RERDxBwbOISBKxtiV4Hjs2PM+ZlQU33QT9+sH778ODD4bneUVEvEjBs4hIEikvh8pKV4luyJDwPe/gwXDDDa4K1gsvwEsvhe+5RUS8RMGziEgS+fJLd52f76vvHEaHHgqXXeZu338/rFgR3ucXEe9ITU1lwoQJzZd169axZMkS+vXr17zsG9/4BgBz584lKyuLrVu3Nm/fp0+f5tvGGK6++urm+7fffjtz586N2nvpKgXPIiJJxB88jxwZmeefPt2VlW1qgltvhU2bIvM6IhJbvXv3bp6Oe8WKFeT7pio97rjjmpe98sorzesPHDiQO+64I+hz9erVi2effZby8vJoNL3HYho8G2NyjTFPG2NWGmM+M8YcE8v2iIgkOn/wHDBxV9idfz587Wuu8sZNN7m5VkQkuc2YMYMnn3ySHTt27PNYWloaM2fO5M4774xBy7ou1j3P84G/W2vHAkcAn8W4PSIiCc0fPI8aFbnXMAauvhoOOgi2boW5c6GmJnKvJyLRt2fPnub0jNNPP715+b/+9a/m5bfcckvz8j59+jBjxgzmz58f9Pl+9rOf8eijj1JZWRnxtvdUzCZJMcb0BY4Hfgxgra0D6mLVHhGRRGdtdIJngMxM1+t87bVuGvDf/MYF0WmamkskrE49NTLP+8ILHT/uT9to67jjjuPFF18Mus3ll1/OhAkTWuU3+/Xt25fzzz+fu+++m969e3erzdESy57n0cA24P8ZY/5jjHnAGJMdw/aIiCS08nKorXUl5fr2jfzr9evnJk7JzYUPPoA773QBvIgkp9zcXM4++2zuu+++oI9feeWVPPjgg1R7fLalWPYBpAFHAZdZa981xswHrgduDFzJGDMTmAkwKtJdJSIiCWzDBncdzV3pkCHwv/8L110Hb7wB/fvDRRf1vNJHyeoSipYWUVpRSkFuAbOnzKZwTGF4Gi0SRzrrIfaan//850yePJmGhoZ9HsvLy+PMM8/kwQcfZMaMGTFoXWhi2fO8EdhorX3Xd/9pXDDdirV2obV2krV20qBBg6LaQBGRRPLVV+56+PDovu7o0fCLX7iUjb/+Ff70p549X8nqEmaVzKKsqoy8zDzKqsqYVTKLktUl4WmwiETMwIEDOf3009m7d2/Qx6+++mrPV90wNobn0Iwx/wIuttauMsbMBbKttbPbW3/SpEl22bJlUWufiEgieegheO45uOACV04u2t5+25Wva2qC886DM8/s3vNML55OWVUZ2RktmX7VddUMyxnG4gsWh6m1It712Wefccghh8S6GQkl2GdqjFlurZ3Udt1YV9u4DHjUGPMhMAH4TYzbIyKSsPw9z0OHut7b6cXTKZhfwPTi6VHptT3mGFeFwxh45BHXC90dpRWlZKVntVqWlZ7Fuop1PW+kiEgnYho8W2tX+FIyDrfWftdaq2qgIiIR4g+eV+55PTppD+XlMGMGbN/evOj44+GKK9ztBx7o3jTeBbkF1NS3rn1XU19Dfm5+DxorIhKaWPc8i4hIFFjbEjz/cc1tZKRkkJ2RjTGG7IxsMlIyKFpaFN4XXbQInn8eFi5stfiEE+CnP3W3f//7rg94mj1lNnVNdVTXVWOtpbqumrqmOmZPaTfrT0QkbBQ8i4gkgaoq2LMHsrLgy9pPI5/2UF4OxcUuR6S4uFXvM8App8DMme72woXw9NOhP3XhmEIWFC5gWM4wdtbuZFjOMBYULlC1DUkqsRyzlmi6+lmqXL3EPZWsEulcYL7z6P4F+wy4C3vaw6JFUF8Pffq4+bkXLoQ5c1qtcuqp0KsXLFjg4uvaWjjnnNDK2BWOKdT/uSStzMxMtm/fzoABAzA9rfuY5Ky1bN++nczMzJC3UfAscc1fsiojJaNV7uYC1AslEmjLFnc9dCicPGU2s0pmQZ3rca6prwlv2oO/1zknx93PyXH3Z86EAQOaVytZXUJRWRGfjhpM49LL2PrQGGprB4elDrRIIttvv/3YuHEj27Zti3VTEkJmZib77bdfyOsreJa4VrS0qDl3E3DXdW65gmeRFv6e5yFDfGkPLKBoaRHrKtaRn5sf3jM2gb3O4Ao819e36n0OPPAdMb6S8owFfPzKhSx6bAJVVYO57DJN5S3SnvT0dAoKCmLdjKSlXZPEtdKKUvIy81otU8kqkX35O6gGD3bXEU17WL4cGhpaXjRwuU/bA99BY1eTknY/pa9dzuLFg9mxw8XZWa1Ts0VEYk7Bs8S1gtwo5G6KJAD/hF0DB0bhxUIY/RfswDfvgHU0ZPwv/dYtZsUKuP56mDsX8vKCP4eISCyo2obENZWsEgmNv9hFQMpxTLVXq3nMGLj9djeFeGmpm1Rl/foYNVJEJAgFzxLXVLJKJDReC547OvAdOhSKimDsWNdjfs018O67sW6xiIhj4qlO4KRJk+yyZcti3QwRkbhSVwff/z6kpsKzz0KKR7pN/GUm9xm0WF4O117L3l8XcfejA3jjDbf+uefCmWeqEoeIRIcxZrm1dlLb5cp5FhFJcDt2uOu8PA8Ezr7AmKKi9gct+mYm7DVmDNdcP4f8fHjkEfjTn2DdOje9dxdKsoqIhFWsd6MiIhJhUR0s2Jl2puxu1mZmQrNjOz/4Adx4I/TuDW++CbNnw6ZN0W22iIifgmcRkQT30gfv8vaGt3ngs1uZXjydktUlsWlIJ1N2Ay01ojMzW2pDA5Mnwx13wIgRrvf5yitpTueQHigvhxkzgv8tRCQoBc8iIgmsZHUJd7xaTG1jLTn965pn4YxJAN1OYNysvZkJfYHdyJFw551w/PFuKu+iIrj3XpfTLa2VrC5hevF0CuYXdHzA1NmZAA8L+T2KhJmCZxGRBFa0tIiUPQNJM6mk96kkOyObjJQMipYWRbchnQTGQEtw7Z9aMHBmQp/evV31jUsvdQ///e/u/pdfKpjy88/eWFZVRl5mXvsHTKGcCfCokN+jSAQoeBYRSWClFaWk7HHTCqb1qQBiNAtnCIFxq5kJ/ZeGhlYzE4KrtlFY6NI4hg1z9aB/dPFXXHjbX9i8S8FU4OyNxpj2D5g6OxPgYSG/R5EIUPAsIpLACnILqK1yc1ynZu0CYjQLZyiB8dNPuxlR2l7ambFw9GiYPx+++U1YtbWU3e+cRWXJbBp290/qYKq0opSs9Nbzmu9zwBTKmQAPC+k9ikSIgmcRkQQ2e8ps6qv70GAbSc3aFbtZOLsYGIeqd2+4/HLImHYbGVl72LPxQDY8fi27Vk6id1pyBlPtzd7Y6oAplDMBHhbSexSJEAXPIiIJ7OQDCxnf73gyUzPZlbI+YWfhHDuhkoFn/Irsgk9oqstk6ytn8+VfZzDcHBnrpkVdR7M3NgsxRcarQnqPIhGiGQZFRBJYdTWcdZZLa/3zn2PdmsjxDyBLNxk0rv1vtrxxKo17Mzlyv8O4+n+GctppbobFWLWtaGkRpRWlFOQWtMykGIXX3Gf2xgSSDO9RYqu9GQYVPIuIJLBNm+AnP3ED6+LkjHy3BQZTI9IP46D1RWz9dCwABxwAs2bBgQdGv02zSmaRkZJBVnoWNfU11DXVJWTvvxfE4kBFEpeCZxGRJPTxxzBnDhxyCNx2W6xbE33LlsF997msBGPgxBPhvPOgX7/ovP704umUVZWRnZHdvKy6rpphOcNYfMHi6DQiSehARcKtveA55jnPxphUY8x/jDEvxrotIiKJpsJVp6N//9i2I1YmTXLB8+mnQ0oK/OMf8D//4+YFaWiI/OurKn6glMUAACAASURBVET0qHydREvMg2fgCuCzWDdCRCQR7dzprpM1eAaX7z1jBixYAEcd5fLAFy1yVTqWL4dInoBVVYjo0YGKREtMg2djzH7At4AHYtkOEZFEpeC5xX77wdy5cOONLgd8wwZ3/xe/gFWrOt++OzMYqipE9OhARaIl1j3PdwHXAk3trWCMmWmMWWaMWbZt27botUxEJAH4g+fc3Ni2wyuMgaOPhnvvdb3RffrARx+5Kb7nzYONG4NvF+p00G0DbIAFhQsYljOMnbU7E7ZUoBfoQEWiJWYDBo0x3wZOsdZeaoz5OnCNtfbbHW2jAYMiIl0zd65LTbjxRhc0SmvV1W6eluefh7o6lxf9jW/AmWfCkCEt64Uy8E8D1mJP5esknDxXbcMYMw84D2gAMoG+wLPW2nPb20bBs4hI11xxBaxdC7/7HYwZE+vWeNeOHfD44/Dyy9DU5ILoadNcED18OBTMLyAvMw9jTPM21lp21u5k7RVrAVXWEEk0nqu2Ya2dY63dz1qbD5wFLO4ocBYRka5L9mobocrLg5/9zFXmmDbNLXv1VVcj+/bbYVjj0Z3m02rAmkhyiHXOs4iIRIi1UFnpbkerrrHXdTbob8QI+PnP4Q9/gG9+0/VAv/46NP3tbrb8/WJ2rB9GU1PwfFoNWBNJDp4Inq21SzrLdxYRka6pqYHGRleqLT091q2JkfJyNzJw+/aQB/2Bq8Zx+dnlLOx9Baccv5thfYcwpuY8dv3tBtY8cSm9N5/E/G/e2yqfVgPWRJKDJ4JnEREJv1273HXfvrFtR0wtWuRGAy5c2PVJNBYtYvA/H+WnDffw0ENw+UWDOemwYzg+5yJGfHQXz9x2Ms8+C7t3u9ULxxSqskYkBRwIJVM7ulMiUSJL03OLiCSoVatcCbYxY9yAwaRTXg7HHgtpadDQwJHn15AyYFCHg/7a25a33oIBA6irg9deg7/8paWsXUYGHHccFBbCQQe5cngSAfPmwR13wNVXuznnk6AdquASW54bMCgiIpGV9D3PixZBfb3LW6mv59L300LPSW6zLQsXAi5QPukkN7Bw7lyYMMGVuHv1VXegcuWVUFICe/ZE/u0llfJyKC6GoUPddax6n6PcDk057k0KnkVEElRVlbtOyuDZH+Tk5Lj7OTn86P16sqr2dJ6THGTbtoGSMTBxIvzf/7m4+nvfc5/z2rUusD7/fLjnHvj008hO/92qzV5IaYiUdg5mvNCOSKZVqIKLNyl4FhFJUEnd8+wPctLS3P20NPqYDB4r//o+OclAq+Bn1bxr9tm2o4Bt2DC48EJ4+GGYPRvGjYPaWlcz+rrrYOZMV0P6q68i/H59ud094cn82hAOZmLVjt2L7uOXT/80pEGo3aEKLt6k4FlEJEH5g2f/b31SWb7c5Spv29ZyaWjg4PW7WXzBYtZesbZ54pK2FTjWvvpn9tTu3mdbli9v9RJtA81X1pVw/PEuJfa+++CMM2DAABc0P/YYXHKJC6b/8Y+WQYZhEaZUgq5UI4mqIAdCMel9DtKOyt3lnLO0OmJpFarg4k1psW6AiIhERlL3PD/9dEirBeaUAmRnZPPzi0d1Oitg4ECuwEBzAW4g18iRcMEFcN558OGHsHgxLF3q0jg+/dTVkT7iCDcm8Wtfgz59evBe/UFdnz6wc6cLKrsxkC3YZ0GdWx7TwWmBB0Jtl8e4HbahnsM3NfBYwGrhTKsoHFPIAhZoynGPUbUNEZEE9ZvfwNtvw/XXw9SpsW6NN4Uy7XYw3ZmKu7bWBdCvveYC6qYmtzwtrQeBtL8qSGZmS2WQ2trm6iBd0d3PIplpSvbEpmobIiJJJqkHDIaouzml3RnIlZkJ06e7QYZ//KObDnzCBDeRzfLlMH++66m+6Sb429/27WgNKowpDeHOr/Vk/nSYKa0iOSl4TjLJsDMTEcc/NbeC5/Z1N/jpaaDZrx+cfLILpB95xAXSRxzhAun//MeldcyYAZdd5h5ftaqdqh3t5HZ3J6UhnIGgZ/OnwyzcE+Mk1W90HFeIUdpGElGxdZHkcu65LoAuLoa8vFi3xrtKVpd0Oac0UvvTykpYtgzeew9eeqOMz8rWUdNQQ1ZaFofvP4rvnjCCo45ygXYkBoJ257MIRukMXRfu75T/b1laUUpBboH3cqW9MulNB9pL21DwnES0MxNJHtbCd7/r8mqfe67lrL6ET7gCzfae+2cvXon9ahyNGyeya81Y6nf3Y9zg8QzOHowxcOCBcOSR7jJ2rLf+xsqf7rpw/kZ3JRCPSZDdzgyeXtNe8OyhfzWJtNKKUvIyW3c/qdi6SGKqrnaBc1aWt4KqRFI4pjBiQUbR0iJ6paeQfcB6OGA9g46HirJcqsuP5fB+c/n0U1i92l2eesrlUx9+uMuhHj8e9t8/+tOEBwZhFbUVNDQ0MCRnSPPjqk/csXD+RodaOaWzqjERE6YKMbGiXWoSKcgt2OeoVjszkcSkwYLxrW0gZQzkDtvJzv5/5JYr5lJbC5984vKj338fNmxwqR7vvefWz8mBww5zE7aMHw/5+ZASwVFObYOwhqYGvtrtZoUZ3Gdwc8+nBtK1L5y/0aEG4jEpT9jepDczZ3qy9zkYBc9xqjunWWZPmc2skllQR6vTONqZiSSepK7xHAc624d3FkhlZrrpwSdOdI+Vl8OKFa4E3kcfufvvvOMuANnZLcH0oYfC6NGQnh6+99M2CBuS7Xqcd9ftJr02XfWJQxDO3+hQA/GYnJEO7HWG1hVi4qT3WdU24lB3RzGHe1SwiHiXgmfvCmUf3mHliyBVCgYOhG98A37+c3joIXjgAbjySjjhBBg82KXxvPeee+yaa+CHP3RTiT/4oEs37WnBg2Cl+wZnDaZ/Zv/m2Ry9/FvjhSoX4fyNDrVySk+qxnT7MwtjhZhY0YDBOKSBf7Hn+VHMkvRefRXuugumTXMBlXhHqPvwdgckdqNKwbZt8PHHrld65UqX5tHWwIFu4OHYsXDQQa53ulev8L4nL4rbSlTl5XDttVBUFDTdIZQBrd1973H7mXWRqm0kEI1ijq1k2WlIfHvuOdfL+J3vwMUXx7o1EqhH+/AwVSmorna1o1eudJdVq6CmdQckxsDIka6qh//SXkAdz/vFuA38w1TqrTtVY+L2M+siVdtIIBr4F1sxGWAh0kVK2/Cu9vbhOb1ymF48veMzWmGqUpCdDUcd5S7gShtu2NASTK9eDV9+2XJZ7IuH2gbUBxzgBiMWjilkAQsiVrovkuKyEpV/0N3QoT0ebNedqjFx+ZmFkYLnOKSBf7GV7DsNiQ8Knr0r2D68orYCi6Wuoa79kmERrFJgDIwa5S4nnuiW1dVBaSmsWQNffNE6oF722VbW7FjTPIHLxDH7cdwRhczILyR/oguohw3rUZOiJi47pGJc6i0uP7MwUvAch+L5CD8RJPtOQ+KDgmfvCrYPz0jNoK6xruMzWlGuUpCRAQcf7C5+dXVQ/Nob3PRsManbR9NnZwF7ygfx5mefU7G9F4OzB7faftQoF0jn57va0yNHutkuo12DuiNx1yHlgVJvcfeZhVnMgmdjzEjgj8BQoAlYaK2dH6v2xJtIFueXjiX7TkPig4Jnb2u7D/fnQQfa54xWYJWCQFGsUpCRAY9/NZfc8WVkZ3wAgG1KoXJbNvV7DufMQ+ZTWgrr1rlmfvGFuwTKyoL99nOBtP965EgYMgRSU6P2VpoH3BUWFbGgMI46pDxQ6i3ZO/Fi2fPcAFxtrX3fGJMDLDfG/NNa+2kM2yTSqWTfaUh8SLjguZPKAvEupDNaTz8d/YYFsc8ELilN9Bu8i521L3DeeS19YNXVsH69C6RLS93tjRvdBD6ff+4ugdLSYPjwlmB65EiX+jF8uMvRDrtFi+D552HMGArnzImffbgHDqIguTvxYhY8W2vLgDLf7SpjzGfACEDBs3heMu80JD4kXPAcEOjEy0QKXRFPZ7RCTV3LznYTshx6aOvtKyvd4MSNG921/1Je3pJT3VZOjgui/Zdhw1oCa38HbJeEccBdKMJa3tQjB1HJzBOl6owx+cAbwDhr7a721lOpOhGRzlnrStRZ60rWpcX76JYwlWfzuu6UDIuFSJWlq61tCar9l82boawM9u5tfzt/YD1smIuFhw51E8MMGeK+JkFTQebNczPJ9O/vBtxdfHHEDsra+7wuOOIClqxbovkC2uGF+RQ8W+fZGNMHeB24xVr7bJDHZwIzAUaNGjVx/fr1UW6hiEh8qaqCs892PX9PPBHr1oRBFAMdCU00A31r3Z/dH0hv3txyu6zMBd3tSUlxk78EBtRDMisZfNU5DMneTV6valIa692TROigLFhN5C1VWyivLSe/X37c1cWOBq/UDfdk8GyMSQdeBP5hrf1dZ+ur51lEpHObNsFPfuJ64hYujHVresjf65yZ2dLzHMFAR+KLP7D2B9VffQVbtsDWre56x44gG33hq7mXnk6aaWRQ2k4GNXzFoKkHMfCsbzBwIK0u2dk9qw4SbFKcVdtXUdtQyxFDjmheloiTjHSXVyZh8dwkKcZ9ix4EPgslcJYkFcFBQl44JSQSCQmV7+yBygLiXca40nd5eXDYYfs+XlfnxtX5g+ktW2DL7e+wNXUPW+oHUtHUlzLcheW5ECRIzsx0Pz+DBrFPYO2/ZGW1H2AHyxHf27CXzNTMVutpvoAWXp9PIZaZcFOB84CPjDErfMtusNa+FMM2iddEaJBQ4CmhdickSBA6SEg+CRU8e6SygMSnjAwYMcJdml1wXvPNvXtdYL11K2zf7r5m/uvycneprXVnczZt6vh1/EF8Xp7LMPLf/l7uzdxWOofGPjX06QN7GmpITUklt3duq+fw0nwBsf7d8Pp8CjHPee4KpW0kmQgOEvLKKaFI80remETXK6/A/Plwwglw5ZWxbo0khAQvFdgea6GmpiWQDgyuA687yrsG2FrtZmTc07SLfrmNFAzrz2fVb5GRXU1W3z00ZGyjsddO5p50JacecTy5ua7HOxa88LvhhTaAB9M2RDoVwelHvX5KKFyKlhaRkZLR8axlknASqudZvCHBSwW2xxiX85yd7WZIbM+ePS6/escO93Plv91yfzAFOwdTXe3boAbG1BzAmo1r+Mo3xfkBeQfw/OrBPO9bpVcv6NcPcnM7vu7Xz/2vh6uqjhd+N7w+n4KC5xiK9WkRzwns2bA2otOPev2UULgky0GCtKbgWcIqjDWRE/V3r3fvIOkhQezd2zqg3rFjMDt3QkWFu1RWtlwHppSEIifH/c/n5LTcbnu/7WPBAm6v/G54eT4FBc8xkkw5tyEL7NmAiA4SiqcJCXoiWQ4SpDV/8Ow/9hTpkTCdBdTvnutN9k/w0hFrXSqIP5AODKqDXe/a5UpUVlV1rT2ZmfsG1RmfXEYZm8nKbiQ1s4aUXnvYm7KdoXlj2LHD9cJnZPSsAkm8U85zjCRLzm3I2uY3jxkDH36473qTJ4dtdqV4mZCgJ7ySNybR9etfw7vvwg03wDHHxLo1EtfCWCpQv3uR09TkAuddu1oH0v7bwZbv3g2Njfs+19bqrXy89SOMSSHVpNJoG7G2iXGDxzM4ezDgvgrZ2e54qk+fltv+FJfAZW0fz8qKn4mblPPsMV45LeIZbXs2pkyBF16I6Et6+ZRQuHg9b0wiQ2kbEjZhLBWo373ISUlpyX8OlX8wZNtAu6pqMP/6fCB//XAx5RV7yEsZzsQBxzM4w+Vs797tSgD6e8S7IyOjJZDOymp9O/DiXz5xokuN8QoFzzGi0+kB/Pl0EcpvTnbJcJAgrSl4lrAJY6lA/e55S+BgyKFDWz92KkdwG0cE3xAXPFdX0xxMt70Otizwuq7OXXbuDK2tDz6o4FlInpzbkGgSBJGwUvAsYROmNDnQ714kRXsgZkaGu/Tv3/VtrXWDIWtqXCBdU7PvJXB5dXVLeOAVCp5jRKfTA0RhEoRQdyyJOhJckkdTk+vdAe/94Ehy6/B3L0nrSIdDvA3ENMal0Gdmuklk4pEGDCYwBYJOqIPmPD+4Tj8uEoJdu+Ccc1zg/PjjsW6NSIjmzYM77oCrr9YZxy7SQMzIaW/AYEosGiOR5w8Ey6rKWh2JlqwuiXXToi6w4LsxhuyMbDJSMihaWtSt9WLGX8pv4cJYt0Q8TCkbEnfa1pHevp2S1SVML55OwfwCphdPT8rfrlCVVpSSlZ7VapkGYkaWgucE5flAMIpC3bF4egcU5MdFJBh/nVcFzxI3/ONeMjOhvp5Vv7naO50/5eUwY4an97kFuQXU1Ne0WqaBmJGl4DlBRSMQjJeegVB3LJ7eAbX5cVHvs7RHPc8SV4JUW+r92J8ZvCfVG50/cXDGb/aU2dQ11VFdV421luq6ag3EjDAFzwkq0oFge2khN79+s+cC6lB3LD3ZAUX0QKK9Un4e7gmR2FHwLHHF3zHgnzUjLY2m+r2c83Z1q9VichYwTs74FY4pZEHhAoblDGNn7U6G5Qxrd6xOvHR6eZ2qbURSDAd4RbokUGBaCEB2Rja7q3cz78155PfL73DEb1OT21c2NLjbjY37XgdbFnjtv92ewGlDh5pCrtr/jxR/8DCbqzYzPGc4Fx55AfvXH8uqVW6fnZoK43sXcvPERfz+/XvYsH0d++cdwFXHXM70USfS1OSK0AfTlZHO3RrEqVJ+0gX+SQs0NbcE5bWBx0GqLWWSxpj1VUDLHNYxOQsYpmnJoyGUev7xVpXDyxQ8R5L/dM+YMVH/h+usFF5Dg6uz2JVLXV1L0PvBP4+jt+lLVVM6tjEN25hGeVUljQ0p7MgcyvbGNGxTGvV1cOGTqUwb5batr3eBb3dtrd7Kmh1rqGmoISstiwPyDmieLrRjUxnKVPx14Ev+DcGPt6fTn+n4S1c+9Dd4yHc7PR169Wq5ZGa666dWllPddDm9ekF1eh0pGbXUp1Rw7Zq3yDitsLkI/b+3LuHmd35Fr8wG+md3YccVhVJ+kjjU8ywdiuHvUlBB6kj/xx/k1VXHrh50Ak7eFazTizq3XMFz1yh4jpS2p3tmzqRkx3ud9jpa6wLMwKC1trbrga7bppAj9xZyqG/Z46/Cw77bHfXahsJsOJmKxlrSTGrzsoa9u0hJSWVveku5HAvsaqpvrjvrl57uOlDT0lyPbmqquw683fb6y11rWbXuZdIGG/qlp1LftJfPeY8D80/hwLwxrT7DYLcDl/l7txsaQrv2B/719ezzXraWDic9ZX/qA18D2NlUz11rW5a9vaEXtY2/dZ+ZgZReNdheO/nJyzu59DjIzXVTqwZe5+XBgCeebj6jKdIZ/4DBrkzTK0kiyO+SFwNBT8yDkIBn/DQ9evjoJ7kLGhtd72tIAe1jS9i780T2ZvVn7+56vvzBS9zXdyMpjaeR1pTNB3WGs/7fVxw7/EuGZI5qtW00pKS07j3t7OKfTSg93V2O3prG799/iPR0yMxIY6/dzZ49X9K/dx8G9u2HSW3ApDawp3EXQ/sN4NHzTmjeNjW1dVpFqKYXX8ywCfvWsizL+SuPRriWZbCDGv/l/D8/wbZdu+hFP5rqM7D1vaipTqFvylCmH35C8xSmr1d+TmZjP5rqsmjam0lTbRa2NottO+t5s4PPwxgXSA8cCIMGuWv/7SFDYPhw17MNqu0t6nmWDiRYGkJEJeAZP02PHj4Knjtx//3w2msuSGpoCHGjujp4awCkfh/2GrCWPUuraSoYQWN6WnMPZaNt5N2KTRwzclSrzdPTQw9qg6URhHLpbgDrdyqTmXT82c09A6Nz85mR/y2KPyimMWCSkaamOm448Rdh+SGP5VGzMS0HEG1zSW/+0feYVTKLlJQM+vjed++mOu4sXEBhS4c47xYXN++4bJOhaW8WVZVp5KUUMPv4E6iocPmqFRUtl+3bYccO9zu3cyesXh28fX37wt7ea3lt+/tk5h5J9oDRrN/xJT/bfhX3nooC6CSi4FmCSsA0hIgK47TkXhGr6dETsVNHwXMn6utdryG4ACqkgHXJa/TqvYRefdLpZerolVJPxdaVHJqXxcvH5mDS6khJq4fUvVQ1bePBS99q1cPb3sA0rwnWMzB5+OSInWrz6lFzqKcY2+64alO3YnPr+N/Cazh+TDtPjjvjsWOH++3bts1dl5fD1q2wZQts3uwCprc/2cLexik0mlT849QbbQMXv1DNrBNh1CjIz4f994dhw9wBVMLz2uCoKPAHzxowKK0kYBqCdE0s0mESdZCipufuRHW1G+DWq5frEQ6pt/aMM+Df/2616KvqLXwwMoNf/PSgludOkukzw3XU6fnps0Pg/yzCueOy1gXXhxedRNaeA2nYNZC6ikHU7xxC3c5B1DU2ckLBCa22yciAggI46CA3buigg1z6R0/ORnhSEk75+6Mfubz8Rx9V77MECPK7BMDkyQnZyyoR0I3OiHifOry96bkVPEdJIgR+3RHu9x2J4DNRBNtJ7d6zl/7145g36XHWr6f5snXrvttnZ8OBB8LBB8P48TB2rDuz0lWeOUVXXg7HHut62Boa4K23Er73ubERTj/d3f7LX+LnLJaIxIFudEYUzC8gLzMPE9AzY61lZ+1O1l6xtoMtvcGTwbMx5mRgPpAKPGCtvbWj9T0TPHfzVHAyBn7xftQZT7pyoLJ7N3zxBXz+ubusXu16rwOlprpgevx4OOwwOPRQeH1Tx4FxV9oQ8SB73jx44AHo398ljF98ccL3PldWwrnnupSNxx6LdWtEJGF0szMi3mMAzwXPxphU4HPgm8BG4N/Aj6y1n7a3jWeC5yQ8Fdxd8X7UGW96coC2fbsLoj/9FD7+2AXXgbuH8j1bWGmeJWvUSvqPXkND3zXU29aBcag7yp6ckQgp6Pbv6DMzW3b2tbUJ3/u8YQNceimMGAF/+EOsWyMiCaObnRHxftbdi8HzMcBca+1JvvtzAKy189rbxhPBcxKeCu6JeD/qTGY1NfDZZy6Q/ugjKF78Fnvq65pre6f1qSR1+IeMPGwjb//y96Snh36w1N3vRcg74sAdvV8kep89NiDxk0/g+uvhkEPgttti3RoRSQg97IyI57Pu7QXPnWbEGWPebnM/xxhzZBjaNALYEHB/o2+ZZwSdA94/Yjkzs2WkcpyL5Fz3s6fMpq6pjuq6aqy1VNdVt5TGKS+HGTNcl6d4TlYWTJwIF1wAt98OWWddwoiT/0TOIe+Rmr2Lht39qP38OD595gzOPdedjMkrP4XqPfWtnidYRZTSilKy0rNav14IZQcDZ8gyxpCdkU1GSgZFS4tarxhYo9V/aWgIf41W/2xtHtkPqEydiISdP+7xz9YVWKklBIVjCll8wWLWXrGWxRcsjpvAuSOhlKrrBWCM+Z219ufW2ipjzH3AMT187WDj+vfpBjfGzARmAowaNWqfDSIlWHmVG//8U457oJE+fX1HWh6rk9mdHNJIl5HpsDTOvHnemiZWOnTAkKGUZS1lyJgPsBbqykew44sD2LtuIq+uepsXPqkhLeVM6szJ9C1YyYBDV2CH/od69q0j2t2ygyHX+o5G9QAPztbmn11QwbNIbHlm4HQ4dGHCmIR63x0IZSy2McYMBs41Ledie4fhtTcCIwPu7wdsbruStXahtXaStXbSoEGDwvCyoQnWw3X229VU7i7v9tFXJPmD4LKqslZBcGe9yCH35PVA0KPOtoGHep+jqjtnGwLPIoClod/nNB72GOnfuob+P7iOoVP+QdrAUqjvRe2ao1n//Awqn7qT7+x5jnGZ+9a8bveMRAcKcguoqa9ptSxmtb49eBZKPc8isdfd32PPevppWpVr8l/adFIk3PvuQCjB8xzgTeAx4E5jzKUhbteZfwNjjDEFxpgM4Czg+TA8b1gEO618+KYGbEN95E8Fd0N3g+Dunj7vMQ8GHsmiuzu4wjGFLChcwLCcYeys3cmwnGEM6TOE3Mxc+g2qIW/SYkaftYCR597MqOOXcO6UE5jU/yRWv3k4l14K11zjZuusrw/+XB0OIPGl+NxwyP90K+gOu/Zma4vxQaCCZ5F2RDFNMBqdUl6UTO+707QNa+3fgYOgeZDfD4CLevrC1toGY8ws4B+4UnUPWWs/6enzhkuw08qXzRjKsJwj9xnQVLK6hKLi6TE9TdHdqavbO32ek5HD9Ei9J00TG1OBOzjAXde55Z39jdvOKukfIBio74A97Mwu5v7Lf8XKlfDqq/Cvf8GqVe7y4INw0klQWFjI4gtC/E75cou/MWYMC86I7gxZ7bbHg7O1KXgWaYd/fEIU0gS7+3sc75LpfXepB9la+7Yv7znINEVdZ619yVp7kLX2AGvtLeF4znAJ9bSyV05TdPd0drD3ubN2J1urt0buPfVw8EHINCAxqHCebejoe2eMq/owaxb88Y9w2WVuVsPKSnjqKbjoIvjtb2FtZxUL26T4FOYdHfvBJ9EakNhFmppbJIgopwl6Kr0sipLpfWv+qXaEelrZK6cpuptD2tGp+Ii9pySthBAR3ThACOcOLtTvXa9ecOKJMH++C5iPO85NBf7mm3DFFTB3riuzFpQXU3xCzAGMNvU8iwQR5X1Id3+P410yvW9Nz91DXpoEJFy1FL30nrotzutxhzxiuRsT9nhlyvTt290U0iUlsHevW3booXDeeTBunG+lJJ3spLtmzoSyMjdByghPFf4UiZEY7UPiubZxTyTa+/bcJCnd4cXgOREnAUmI9+SVqZm7MYlGyMFtDw4QvLSDq6qCF15wl9273bKjjoLzz4cDnorSZCcJ4oc/dJPbPP54Szq2SFKL1oRJkpC6PUmKdCwRT1PE/XvyUiWEbqSOhJwK1INTkV4qWp+TA2efDQ89BOecA717w/vvw5VXwm8fG8lXe/t7LrfYi+rrXeCcmgrZ2Z2vL5IUPDo+QeKbep7DwEu9eOES1+/JKz0N3ewZDiltJoHTGXbtcqnDL77oAsL0dPje9+CMM9zbyQIsZQAAGPdJREFUDbdEKeq/fTv8+Mfua//HP8a6NSIi8a+9nudQZhiUTrQt3xVusfhxj/R7iqguzIYUUYHlzHbuDLmMWUiz73m0VFo49O3rxkCedpoLAl97DZ580pW8u+gimDrVDTYMh0jPsBlNlZXuul+/2LZDRCTRKW3D47xSCi+uRKISQlerWvQgdSSktJkkOBU5cCD8/Odw220werT7SH/7W7jpJti6NTyv4ZVqOeGgShsiItGh4NnjEunHPa51NXe5B7WsQyqT6NFSaZFwyCFw552uXnRODqxYAT/7Gfztb9DTrLOYzbAZAep5FhGJDqVteFwyzdjjWW0L7IcyE2IPU0fiOm0mAlJS3KyE//VfcP/9rj70H/7gZi687LLul2ULKUUmTih4FhGJDvU8e1wyzdjjWd2papFEPcPRlJsL110HN9zgBsZ98ombZOXll7vXCx33lWUC+IPn0poVTC+eTsH8AqYXT1eKl4hImCl49rhE+nGPS14qe5csQsgvP+YYuO8+mDbNTbByzz0uH9pfJzpUoc4kGg927YKt1VspXnmPxkiIiESQgmePS6Qf97jUg9xl6aYQ88v79HEDCq++2tWGfustuPxyWLmyay/npZrXPVFZCWt2rCEje4/GSIiIRJBynuOA8l9jyCtl72IgJvWPu5Ff/vWvw8EHw+23w+efu0p9M2fCySeHr6RdPKishJqGGgb3aWi1XGMkRMTr4q3evnqeRToSrdzlrpbCC7OS1SWt8mRvfv3m2JRI7OasicOGubSN005zxzr33edSOerqIttcL6mshKy0LOrSWx/oaYyEiHhZPJbkVfDsMW2DGC9/eSSMujGNd7gE23HNe3MedY110T3938P88rQ0uOQSl8qRkQH//Cdcfz3s2NGyTiL/f+3aBQfkHUBjxg6NkRCRuBGPJXkVPHtIPB59SRi0TVWIcu9zsB1XY1MjFXsqWq0X8dP/YcovnzYNiopg8GBYvdrlRK9fn9j/X42NUFUFQ/oMZsF3b9UYCRGJG/FYb1/Bs4fE49GXhEE3UxXCJdiOq1daL2oba1sti/jp/zDOmjh6NPzudzB2rDs2ufZa+NUTzyTs/1dVlbvOyYFvHZwYAyBFJDnEY0leBc8eEo9HX9JDHiiFF2zHlZuRS1pKWnRP/4c5v7xfP7jlFpg6FWpq4OOnzqRx7fGt1kmU/y9NkCIi8SoeS/IqePaQeDz6kh7yQCm8YDuujPQM5hw7J+5P/2dkuElVvvc9yErNYfM/z6Liw2ObH0+U/y8FzyISr+KxJK9K1XnI7CmzmVUyC+pcj1hNfY3nj76khzxQCq9wTCELWEDR0iLWVawjPze/uUzQTf99U9TaESnGwIUXQmltBnfcW8NXr3+HproMeh3+QsL8f+3a5a779o1tO0REuiPeSvIqePaQjoKYWIu3GoxxwyPTdcfbjqs7bv7pRDJ6/Zu77qnnq6UnkU9/7rlmQkK8b/U8i4hET0yCZ2NMEXAqUAesAS601lZ0vFVy8GIQ469SkJGS0apKwQK8fVpFpK1fzpjMsaPhzjuhqewEtrwFdkz8T6ai4FlEJHpilfP8T2CctfZw4HNgTozaISFQFRBJJF//uqv/nJoKzz4LTzwR6xb1nD94VtqGiEjkxSR4tta+bK31zyH7DrBfLNohoVEVEPG6rk5+cswxcM01rsf5scfgmWei1NAIUc+ziEj0eKHaxgwg/mcpSGCqAiJe1t3JT449Fq64wt1++GF48cXItzVSdu501/37x7YdIiLJIGLBszHmFWPMx0Eu3wlY5xdAA/BoB88z0xizzBizbFvbigQSFfFYg1G8JZLTYvckreiEE+DSS93t+++HN94IW7Oiyh885+XFth0iIskgYsGztfYb1tpxQS5/BTDGXAB8GzjHWms7eJ6F1tpJ1tpJgwYNilRzpQPxWINRvCPS02L3NK2osNCVsgM3kPDjj8PSrKjyB8+5ubFth4hIMohVtY2TgeuA/7bW1nS2vsSeF6uASHwI7BkG3HWdWx6O71RBbgFlVWXNzw9dTys6/XRXavvFF+Fn122m/oSrKEt9Ly7KMtbWuktGBmRldb6+iIj0TKxynhcAOcA/jTErjDF/iFE7RCTCIj3gNBxpRcbAJZdA3pjPWbb+Mz7985n0bcwPey95JAT2Osd7yT0RkXgQq2obB1prR1prJ/guP4lFO0Qk8iI94DRcaUUpKbD+0MvIHLIeqgfx1UuX0Duln+fLMu7Y4a6V7ywiEh2aYVBEIioa086HK61offXnjDy1mI1PX8Xerfux7bUfMuiEP3m6LKMqbYiIRJcXStWJSAKLpwGnBbkF7E3byrBTHsSk11O1aiJb3/9aWMsyhrvyiIJnEZHoUvAsIhFXOKaQxRcsZu0Va1l8wWJPBs7Qkj/d0PcLBk9/lAbbyM63T+d7uTeH5fkjUXmkosJdK3gWEYkOBc8iIj6BveT1+y1h1DHvMG7Q4Sx98li2bOn580diqnt/zrOCZxGR6FDOs4hIgMD86aYm+PWv4d//hltvhdtug/T07j93aUUpeZmtR/b1tPKI0jZERKJLPc8iIu1ISYGrr4bBg+GLL9w03j0RicojCp5FRKJLwbOISAeys+HaayG1cS/P/98K3vlHZbefKxJT3SttQ0QkuhQ8i4h04uCD4ccDXoCvtnDX7E1s3dq95wl35ZH6ejdgMCVFdZ5FRKJFOc8iIp0pL+c77/2SD3Nn8e+1GRTdXMC8u3qT1o09aDinut++3V3n5bkAWkREIk+7WxGRzixahGmo56oRTzHQbGflqxv5859j3SgoL3fXAwfGth0iIslEwbOISEfKy6G4GHJyyEmt4efDn4ANG3nij3WsXh37poGCZxGRaFLwLCLSkUWLXHKxL0djfM46vtP7ZZrWreeOO6CuLnZNU/AsIhJ9Cp5FRDqyfDk0NMC2bc2X83v/mZF1a9i0qefl63pCwbOISPRpwKCISEeefnqfRRnA1WtcDegXXoCjj4YJE6LfNAXPIiLRp55nEZFuOOAA+NGP3O3582HPnui3QcGziEj0KXgWEemmM86AAw90Qewjj0T/9f3B86BB0X9tEZFkpeBZRKSbUlPhsstcjeUXX4SVK6P32vX1UFnp2pCbG73XFRFJdgqeRUR6YPRo+P73wVq4+24X1EaDf5bDAQM0QYqISDRplysi0kNnnQXDh8OGDURt8pSvvnLXQ4dG5/VERMRR8Cwi0kMZGS59A1zw/OWXkX/NsjJ3PXx45F9LRERaKHgWEQmDcePg5JNdSei773ZpHAAlq0uYXjydgvkFTC+eTsnqkrC8nnqeRURiI6bBszHmGmOMNcao0JKIxL0f/xjy8mDVKvjHP1zgPKtkFmVVZeRl5lFWVcaskllhCaD9Pc/DhvX4qUREpAtiFjwbY0YC3wSicIJTRCTysrPhkkvc7eJimPfKfWSkZJCdkY0xhuyMbDJSMihaWtTj1/IHz+p5FhGJrlj2PN8JXAvYGLZBRCSspk51sw3u3g2f/HMSWelZrR7PSs9iXcW6Hr2GtS1pG+p5FhGJrpgEz8aY04BN1toPYvH68v/bu/vYusr7gOPfX3AMsWvyQhqwQokNNR0vKow5lKWDFo9VNVKHSteoE8vYui4lVaZ1qqJOQwImBWkiFIkqojS0kTJ1dJ0oLWjCa4dAsC2C4US8hAANJUFEsZoXQhpsMofl2R/nZjiO0zw3fjnX934/0tU997zd3/lxePLLk+eeR9JkiYBbboGmJog3PsP+t47tGh46PETHnI5xfce+fcUj8WbPhlmzxnUqSVKVJq14jojHI2LLGK8bgFuB2zLPszwi+iOif8+ePZMVriRNmIUL4cYb4YJ5F7DvP5by7qH3SCkxODzI8JFhVi1ZNa7z+2NBSSrPpBXPKaXrUkqXjn4BbwCdwAsRsQM4F9gcEWP+MZBSWpdS6k4pdX/YOWglTRNLl8KlnQv4rdN6aX7j8+w/tJ/2tnbW9q6lt6t3XOd+663ifeHCCQhUklSVpqn+wpTSS8CCo58rBXR3SmnvVMciSZPl9NNh+XJYvXoBs3at5v7bVjNv3sSce8eO4r2jY2LOJ0nK53OeJWmSfOITsHgxvPcerF8/ced9883ifdGiiTunJClP6cVzSqnDXmdJ9eqrXy1mIHzqKXjxxfGfLyV7niWpTKUXz5JUz84+uxj/DPCd7xQzEI7Hvn0wOAhtbTB37vjjkyRVx+JZkibZjTcWP+7buRMefnh85xo5ZCNi/LFJkqpj8SxJk2zmTFixolj+0Y/gV7869XM5ZEOSymXxLEkTae9e+PKXi/EVI1x2GVxzDQwPw3e/W4xdPhWvvVa8X3DBOOOUJJ0Si2dJmkgPPACPPgrr1h236StfgZYWeO45eOaZ6k+dEmzdWixffPE445QknRKLZ0maKHv3woYNxdR/GzYc1/s8dy4sW1Ysr1sHhw5Vd/pdu+DAgWJa7vb2CYpZklQVi2dJmigPPACHD8MZZxTvY/Q+X389fPSjRZ394IPVnf5or/Mll/hjQUkqi8WzJE2Eo73ObW3F57a2MXufZ8yAr32tKH4feeSDHwDmcMiGJJXP4lmSJsLRXuempuJzU9MJe5+7uooe6CNH4J578p79nBJs3lwsX3rpBMYtSaqKxbMkTYRNm4oqeM+eD17vv1+sH8PNNxcTqGzfnjd84/XX4e234ayz4PzzJzh2SVK2prIDkKS68NBDVe0+axZ84xvwzW8Why5eDBdddOL9n366eL/qKsc7S1KZ7HmWpJJcdBF84QvFkIy77y6epDGWw4fhySeL5Wuvnbr4JEnHs3iWpBLddBN87GOwezesXl1MojLak08WhXVHB1x44ZSHKEkaweJZkkrU1AS33grz58Orr8Jddx1bQB88CD/4QbH8xS8eP2Sjb1sfPRt66Ly3k54NPfRt65u64CWpAVk8S1LJ5s6F22+H1lZ49tliHPTWrTAwAHfeCfv3F0M8rr762OP6tvWxsm8lAwcHmHfGPAYODrCyb6UFtCRNokgplR1Dtu7u7tTf3192GJI0Kd58E+64o3hk9Ejz5sGaNbBgwbHrezb0MHBwgNbm1v9fNzg8SHtbO0/c/MTkByxJdSwiNqWUukevt+dZkmrEokVw332wdGlRKJ95JlxzDXzrW8cXzgDb39lOy8yWY9a1zGxhxzs7piZgSWpAPqpOkmrIrFmwbFnxOpnOOZ3H9TwPHR6iY07H5AUoSQ3OnmdJmqZWLVnF8JFhBocHSSkxODzI8JFhVi1ZVXZoklS3LJ4lqWSn+sSM3q5e1vaupb2tnf2H9tPe1s7a3rX0dvVOcsSS1Lj8waAklejoEzOaZzTTMrOFocNDDB8ZtgiWpJL5g0FJqkFrNq6heUYzrc2tRAStza00z2hmzcY1ZYcmSRpDacVzRPxVRLwWES9HxF1lxSFJZTrREzO27t7q5CeSVINKKZ4j4lrgBuDjKaVLgLvLiEOSytY5p5Ohw0PHrNv97m4ODB9w8hNJqkFl9TyvAP4hpfQ/ACml3SXFIUmlGuuJGXsP7WV+y3yHckhSDSqreL4QuDoino2IpyJi8Yl2jIjlEdEfEf179uyZwhAlafKN9cSM2afPZkHLsbOiOPmJJNWGSZskJSIeB84ZY9Otle+dC1wFLAb+JSLOT2M8+iOltA5YB8XTNiYrXkkqS29X7zFP1hhr2m0nP5Gk2jBpPc8ppetSSpeO8XoE2Ak8nAr/DRwB5k9WLJI0nTj5iSTVrrKGbfwU6AGIiAuBZmBvSbFIUk1x8hNJql2TNmzjJNYD6yNiCzAM3DzWkA1JalSjh3JIkmpDKcVzSmkY+JMyvluSJEk6Vc4wKEmSJGWyeJYkSZIyWTxLkiRJmSyeJUmSpEwWz5IkSVImi2dJkiQpk8WzJEmSlMniWZIkScpk8SxJ00Tftj56NvTQeW8nPRt66NvWV3ZIktRwLJ4laRro29bHyr6VDBwcYN4Z8xg4OMDKvpUW0JI0xSyeJWkaWLNxDc0zmmltbiUiaG1upXlGM2s2rik7NElqKBbPkjQNbH9nOy0zW45Z1zKzhR3v7CgnIElqUBbPkjQNdM7pZOjw0DHrhg4P0TGno5yAJKlBWTxL0jSwaskqho8MMzg8SEqJweFBho8Ms2rJqrJDk6SGYvEsSdNAb1cva3vX0t7Wzv5D+2lva2dt71p6u3rLDk2SGkpT2QFIkvL0dvVaLEtSyex5liRJkjJZPEuSJEmZLJ4lSZKkTBbPkiRJUiaLZ0mSJClTKcVzRFweEc9ExPMR0R8RV5YRhyRJklSNsnqe7wL+PqV0OXBb5bMkSZJU08oqnhNwZmV5NrCrpDgkSZKkbGVNkvJ14GcRcTdFAb+kpDgkSZKkbJNWPEfE48A5Y2y6Ffh94G9SSj+OiKXA94HrTnCe5cBygPPOO2+SopUkSZJOLlJKU/+lEQeAOSmlFBEBHEgpnXmy47q7u1N/f//kByhJkqSGFhGbUkrdo9eXNeZ5F/CpynIPsK2kOCRJkqRsZY15/kvg3ohoAg5RGZYhSZIk1bJSiueU0n8Cv1PGd0uSJEmnyhkGJUmSpEwWz5IkSVImi2dJkiQpk8WzJEmSlMniWZIkScpk8SxJkiRlsniWJEmSMlk8S5IkSZksniVJkqRMFs+SJElSpkgplR1DtojYA7xZwlfPB/aW8L3TlfmqnjmrjvmqjvmqjvmqjvmqjvmqTpn5WpRS+vDoldOqeC5LRPSnlLrLjmO6MF/VM2fVMV/VMV/VMV/VMV/VMV/VqcV8OWxDkiRJymTxLEmSJGWyeM6zruwAphnzVT1zVh3zVR3zVR3zVR3zVR3zVZ2ay5djniVJkqRM9jxLkiRJmRq+eI6Iz0bEaxHxekT87RjbIyK+Xdn+YkRckXtsPcrI102VPL0YERsj4rIR23ZExEsR8XxE9E9t5OXIyNenI+JAJSfPR8RtucfWo4x8rRqRqy0R8b8RMa+yrRHvr/URsTsitpxgu+3XCBn5sv0aISNftl8jZOTL9muEiPhIRDwZEa9ExMsR8ddj7FObbVhKqWFfwGnAL4HzgWbgBeDiUftcD/QBAVwFPJt7bL29MvO1BJhbWe49mq/K5x3A/LKvo8by9WngX0/l2Hp7VXvNwOeAJxr1/qpc8zXAFcCWE2y3/aouX7Zf1eXL9quKfI3a1/YL2oErKsttwC+mSw3W6D3PVwKvp5TeSCkNA/8M3DBqnxuAf0yFZ4A5EdGeeWy9Oek1p5Q2ppT2Vz4+A5w7xTHWkvHcI95fJ7/mPwZ+OCWR1aiU0tPA279hF9uvEU6WL9uvY2XcXyfi/XVytl8pDaSUNleWDwKvAAtH7VaTbVijF88LgbdGfN7J8f/hTrRPzrH1ptpr/guKvzEelYCfR8SmiFg+CfHVmtx8/W5EvBARfRFxSZXH1pPsa46IFuCzwI9HrG60+yuH7depa/T2K5ftV5Vsv44XER3AbwPPjtpUk21Y01R9UY2KMdaNfvzIifbJObbeZF9zRFxL8YfP741Y/cmU0q6IWAD8e0S8Wvmber3Kyddmiuk/342I64GfAl2Zx9abaq75c8B/pZRG9vI02v2Vw/brFNh+ZbP9OjW2XyNExIco/iLx9ZTSr0dvHuOQ0tuwRu953gl8ZMTnc4FdmfvkHFtvsq45Ij4OfA+4IaW07+j6lNKuyvtu4CcU/+xSz06ar5TSr1NK71aWHwNmRsT8nGPrUDXX/CVG/ZNnA95fOWy/qmT7lc/265TZflVExEyKwvmfUkoPj7FLTbZhjV48Pwd0RURnRDRT3NCPjtrnUeBPK7/4vAo4kFIayDy23pz0miPiPOBhYFlK6Rcj1rdGRNvRZeAzwJi/SK4jOfk6JyKisnwlxf+T+3KOrUNZ1xwRs4FPAY+MWNeI91cO268q2H5Vx/arerZfH6jcO98HXkkp3XOC3WqyDWvoYRsppfcjYiXwM4pfbq5PKb0cEbdUtt8PPEbxa8/XgSHgz3/TsSVcxpTJzNdtwFnAfZU29f2UUjdwNvCTyrom4MGU0r+VcBlTJjNffwSsiIj3gfeAL6Xip8TeX2PnC+DzwM9TSoMjDm+4+wsgIn5I8cSD+RGxE7gdmAm2X2PJyJft1wgZ+bL9GiEjX2D7NdIngWXASxHxfGXd3wHnQW23Yc4wKEmSJGVq9GEbkiRJUjaLZ0mSJCmTxbMkSZKUyeJZkiRJymTxLEmSJGWyeJYkSZIyWTxLkiRJmSyeJakORcQfRsRDo9atiIhvlxWTJNUDi2dJqk93AneMWvdL4OKpD0WS6ofFsyTVmYi4DJiRUtoSEYsiYkVl00zAaWUlaRwsniWp/lwObKos/wHQVVm+GHihlIgkqU5YPEtS/ZkBfCgiTgNuBNoiYhbwZ8CDZQYmSdOdxbMk1Z/HgPOB54H7gUuAfmBdSmlzmYFJ0nQXKTn8TZIkScphz7MkSZKUyeJZkiRJymTxLEmSJGWyeJYkSZIyWTxLkiRJmSyeJUmSpEwWz5IkSVImi2dJkiQp0/8BA28+PvE3m4kAAAAASUVORK5CYII=\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plot_loss(history_drop, rolling = 30)\n",
"\n",
"plot_sets(lor_train_n, lor_test_n, NN_model = model_drop, title = \"Lorentz FFNN w/ Dropout\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Underfitting through Regularization"
]
},
{
"cell_type": "code",
"execution_count": 34,
"metadata": {},
"outputs": [],
"source": [
"kernel_weight_Large = .1\n",
"bias_weight_Large = .1\n",
"\n",
"model_2_l2_uf = models.Sequential(name='noiseLorentzModel_l2_uf')\n",
"# first hidden layer \n",
"model_2_l2_uf.add(layers.Dense(n_neurons, activation='tanh', input_shape=(1,),\n",
" kernel_initializer='random_normal', bias_initializer='random_normal', \n",
" kernel_regularizer=regularizers.l2(kernel_weight_Large),\n",
" bias_regularizer=regularizers.l2(bias_weight_Large) ))\n",
"\n",
"# second hidden layer \n",
"model_2_l2_uf.add(layers.Dense(n_neurons, activation='tanh', \n",
" kernel_regularizer= regularizers.l2(kernel_weight_Large)))\n",
"# output layer, one neuron \n",
"model_2_l2_uf.add(layers.Dense(1, activation='linear'))\n"
]
},
{
"cell_type": "code",
"execution_count": 35,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"CPU times: user 1min 18s, sys: 4.34 s, total: 1min 23s\n",
"Wall time: 1min 22s\n"
]
}
],
"source": [
"%%time\n",
"model_2_l2_uf.compile(loss='MSE',optimizer=optimizer) \n",
"\n",
"history_2_l2_uf = model_2_l2_uf.fit(x_train, y_train,\n",
" validation_data=(x_test,y_test), epochs=epochs_max, batch_size= 32, verbose=0) "
]
},
{
"cell_type": "code",
"execution_count": 36,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
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vvfbauPXTLTdv3rysP2tgwbNz7mUz+46kv0jaK+lu59zdQZUHAACg1HT2dGpW7awx0/LRqLeurm7k+X333ad77rlHDz74oCKRiE4//fSUXcFNmzZt5HllZWXKtA0pdW8YN998s3bu3KlNmzapurpajY2NKd/D73KZCCzn2cxmSjpXUpOkgyXVmdmFKZZbaWYdZtaxc+fOQhcTAACgaOWjUW99fb16e3vTzt+zZ49mzpypSCSiZ555Rg899FDW73XKKafoZz/7mSQvEE58j7lz56q6ulq/+93vtG3btpRlS7fcVATZYPAMSZ3OuZ3OuSFJt0lalryQc26tc26Jc27JQQcdVPBCAgAAFKt8NOqdPXu2TjnlFB177LFqbR2/nTPPPFPDw8NatGiRrrzySp100klZv9fq1av1wx/+UEuXLtWePXtGpn/qU59SR0eHlixZoptvvllHHXVUyrKlW24qzMuHLjwz+ytJP5a0VF7axo3yErN/kG6dJUuWuI6OjsIUEAAAIISefvppHX300b6Xb9/SrraNbdras1WNDY1qXdZKO4UkqfapmW1yzi1JXjbInOeHzWyDpMckDUt6XNL4sV8BAACQNRr15lagvW04574p6ZtBlgEAAADwixEGAQAAAJ8IngEAAACfCJ4BAAAAnwieAQAAAJ8IngEAAOBbT0+PrrvuuqzX//73v6+BgYFJl7vvvvt09tlnT7jM5s2bddddd2VdlmwQPAMAfGvf0q7m9c1qWt2k5vXNat/SHnSRABRYoYJnPwieAQCh1b6lXavaV6mrt0uzamepq7dLq9pXEUADxaC7W1qxQtq1a8qb+upXv6oXXnhBixcvHhlhsK2tTUuXLtWiRYv0zW96vRD39/frrLPO0jvf+U4de+yxuuWWW3TttdfqlVde0fLly7V8+fJx2/71r3+to446Sqeeeqpuu+22kemPPPKIli1bpuOPP17Lli3Ts88+q2g0qm984xu65ZZbtHjxYt1yyy0pl8u1QPt5BgCETHe3dNllUlubNHv2mFltG9tUU1Gjupo6SfL+Rr3pDMAAhNy6ddIdd0gLF0qXXz6lTX3729/Wk08+qc2bN0uS7r77bm3ZskWPPPKInHP64Ac/qPvvv187d+7UwQcfrP/6r/+SJO3Zs0cHHnigvve97+l3v/ud5syZM2a7g4OD+vznP697771Xb33rW/WJT3xiZN5RRx2l+++/X1VVVbrnnnt0xRVX6NZbb9XVV1+tjo4OrVmzRpL0xhtvpFwulwieAQCjJjjBdvZ0albtrDHTItURbe3ZWsACAshYd7e0fr00b573d+XKcRfHU3H33Xfr7rvv1vHHHy9J6uvr05YtW3Taaafp0ksv1Ve+8hWdffbZOu200ybczjPPPKOmpiYtXLhQknThhRdq7Vpv8Ok9e/booosu0pYtW2RmGhoaSrkNv8tNBWkbAABP8gk26fZuU0OTBobG5ikODA2osaGxgIUEkLF166ShIam21vsbC0hzxTmnyy+/XJs3b9bmzZv1/PPP63Of+5ze9ra3adOmTTruuON0+eWX6+qrr550W2aWcvqVV16p5cuX68knn9Sdd96pwcHBKS03FQTPAADPJCfY1mWtiu6Pqj/aL+ec+qP9iu6PqnVZa0AFBjCp+EVxfb33ur4+5cVxJurr69Xb2zvy+v3vf79+/OMfq6+vT5L08ssva8eOHXrllVcUiUR04YUX6tJLL9Vjjz2Wcv24o446Sp2dnXrhhRckST/96U9H5u3Zs0eHHHKIJOnGG29MW5Z0y+USwTMAwNcJtmVhi9a0rNH8+vnaPbhb8+vna03LGvKdgTCLXxRXxTJ1q6qmXPs8e/ZsnXLKKTr22GPV2tqq973vfbrgggt08skn67jjjtN5552n3t5e/elPf9KJJ56oxYsX61vf+pa+/vWvS5JWrlyplpaWcQ0Ga2trtXbtWp111lk69dRTdfjhh4/Mu+yyy3T55ZfrlFNO0b59+0amL1++XE899dRIg8F0y+WSOefysuF8WLJkievo6Ai6GABQeq65Rrr+emnmzNFpu3dLF1885cZFAHLr6aef1tFHH+1v4fPOkx59dPz0pUulDRtyW7Ailmqfmtkm59yS5GVpMAgAkDZtkoaHpZ07x08HULwIkHOO4BkAwAkWAHwi5xkAAADwieAZAAAA8IngGQAAAPCJ4BkAAADwieAZAAAAGamsrNTixYtHHlu3btV9992nAw88cGTaGWecIUm66qqrFIlEtGPHjpH1Z8yYMfLczHTJJZeMvP7Od76jq666qmCfJVMEzwAAAMjI9OnTR4bj3rx5sxobGyVJp5122si0e+65Z2T5OXPm6Lvf/W7KbU2bNk233Xaburu7C1H0KQs0eDazBjPbYGbPmNnTZnZykOUBAABA7q1YsUK33HKLXn/99XHzqqqqtHLlSv3Lv/xLACXLXNA1z6sl/do5d5Skd0p6OuDyAAAAYBJ79+4dSc/48Ic/PDL997///cj0b33rWyPTZ8yYoRUrVmj16tUpt/f3f//3uvnmm7Vnz568l32qAhskxcwOkPTXkj4rSc65qKRoUOUBAAAoNueck5/t3nnnxPPjaRvJTjvtNP3qV79Kuc4//uM/avHixWPym+MOOOAAfeYzn9G1116r6dOnZ1XmQgmy5vkISTsl/ZuZPW5m15tZXYDlAQAAQJ40NDToggsu0HXXXZdy/pe+9CXdcMMN6u/vL3DJMhPk8NxVkt4l6R+ccw+b2WpJX5V0ZeJCZrZS0kpJWrBgQcELCQAIn/Yt7Wrb2KbOnk41NTSpdVmrWha2BF0soOAmqyEOmy9/+ctaunSphoeHx82bNWuWPv7xj+uGG27QihUrAiidP0HWPG+XtN0593Ds9QZ5wfQYzrm1zrklzrklBx10UEELCAAIn/Yt7VrVvkpdvV2aVTtLXb1dWtW+Su1b2oMuGoBJzJkzRx/+8If15ptvppx/ySWXhL7XDXPOBffmZr+XdLFz7lkzu0pSnXOuNd3yS5YscR0dHQUrHwAgfJrXN6urt0t1NaOZfv3Rfs2vn697L7o3wJIBhfH000/r6KOPDroYJSXVPjWzTc65JcnLBt3bxj9IutnM/ihpsaR/Crg8AFAW2re0q3l9s5pWN6l5fXNR1dp29nQqUh0ZMy1SHdHWnq3BFAhAWQk0eHbObY6lZCxyzn3IObc7yPIAQDkoWNpDd7e0YoW0a1dON9vU0KSBoYEx0waGBtTY0JjT9wGAVIKueQYAFFjbxjbVVNSorqZOZqa6mjrVVNSobWNbbt9o3TrpjjuktWtzutnWZa2K7o+qP9ov55z6o/2K7o+qdVnarD8AyBmCZwAoMwVJe+jultavl+bN8/7msPa5ZWGL1rSs0fz6+do9uFvz6+drTcsaettAWQmyzVqpyXRfBtlVHZATdFkFZKapoWlcg7ucpz2sWycNDUkzZki7d3u1z5dfnrPNtyxs4f8cZau2tla7du3S7NmzZWZBF6eoOee0a9cu1dbW+l4n0N42MkVvG0gWz92sqahRpDqigaEBRfdHqYUCJpD3/5vubunUU6XaWqmqShoelgYHpQcekGbPHlMOLnyBzA0NDWn79u0aHBwMuigloba2Voceeqiqq6vHTE/X2wbBM4oaXVYB2YkHrlt7tqqxoTG3ges110jXXy/NnDk6bfdu6eKLR2qfufAFEHbpgmfSNlDUOns6Nat21phpdFkFTC6vaQ+bNnm1zTt3jp8ek9hoUZL3N+pNJ3gGEGYEzyhqBcndBJCZDRsmXYQLXwDFit42UNTosgooTvTVDKBYETyjqNFlFVCcuPAFUKxoMAgACETaRovd3dJll0ltbWN65wCAQqLBIAAgeAmBcdpGi/GRCRcuzGnf0ACQC6RtAAAKZ7Ihu/M4MiEA5ALBMwCUuPYt7Wpe36ym1U1qXt+s9i3twRTET2AcH5mwttb7my7IRm50d0srVnCRAmSA4BkASlh8MJKu3i7Nqp2lrt4urWpfFUwAPVlgHA+u6+u91/X11D5nyfcF02R3AkIsNBeFKDsEzwBQwhIHIzEz1dXUqaaiRm0b2wpbED+BcTy4roo1x6mqyqj2mWDK4/uCqYhTZEJ1UYiyQ/AMACWss6dTkerImGmBDEbiJzBOHJkw/hgeHjMyYToEU6N8XzAVcYpMaC4KUZbobQMASlhoRuH0MWS3n5EJ02G471G+Rm9Mdydg5cqi6B6QESoRJGqeAaCEhWYwkg0bpG3bxj+mEDAnCk0Newj4Gr1xiikyQWOESgSJ4BkASli5jMJJMDXK1wXTFFJkwiA0F4UoS4wwCAAoevGc55qKGkWqIxoYGlB0fzQUFwrxkRQ7ezrV1NA0OpJiAd5z3OiNJaQcPiOClW6EQYJnAEBJCGMwFeagvhQFcaGC0kXwDABAgTWvbx7XYLM/2q/59fN170X3Bliy0sOFCnItXfAceM6zmVWa2eNm9qugywIAQC7RkLFw6L4OhRJ48Czpi5KeDroQAADkGg0ZC4cLFRRKoMGzmR0q6SxJ1wdZDgAAJpPNCIb0ClE4XKigUIKuef6+pMsk7U+3gJmtNLMOM+vYmdy5PgAABeB3BMPkAFtSWXQVGAZcqKBQAmswaGZnS/qAc+7vzOx0SZc6586eaB0aDAIAguCn4R8N1oIXxh5XULzSNRgMcnjuUyR90Mw+IKlW0gFm9h/OuQsDLBMAAOP4GQ6aIcKD17KwhX2NvAssbcM5d7lz7lDnXKOkT0q6l8AZABBGfvJpabAGlIegc54BACiYbBr9Sf7yaWmwBpSHUATPzrn7Jst3BgAgY93d0ooV0q5dvhv9pVq3ZWHLpA3/aLAGlIdQBM8AAOTFunXSHXdIa9dmPohGwrqSl09770X36sUvvqh7L7p3XG6tnwAbU5BwMVNO5cj2bgnyh+G5AQClqbtbOvVUqapKGh7W8Z8ZUMXsg2RmI4s457R7cLde/OKLE66rBx6QZs8u8AfAGNdcI333u9Ill0iXX14W5aAHl2CFdnhuAADyYt06aWhIqq2Vhob0d49V+c9JTlo3XvuMgHR3S+vXS/PmeX+Dqn0ucDkYcjycCJ4BAKUnHuTU13uv6+t1/mNDivTunTwnOcW6gQZsfoQlpSFfwnIxk6Ic+UyroAeXcCJ4BgCUnniQUxUbzqCqSjOsRj/pPn1cTrKkMcHPs9dcOm7d0Nc+J+VnZyuU+bVhuZhJUY6+ddfp6xu+4L8RaobowSWcCJ4BAKVn0yYvV3nnztHH8LDevq1vTKM/SeN64Hjxv/9Tewf7xq2rTZvGvEVoAs0cpRJk3BtJoaS4EArkYiZFOfb0detTG/vzllZBDy7hFOQIgwAA5MeGDb4WSzUq4JcvXjBm2O1UEhtyJQaaaxRAQ654UDdjhrR7txdUZtGQLbQjJCZeCCVPD7gcbnhIi14e1k8SFstlWkXLwhat0RqGHA8ZetsAAJStptVNmlU7y18PHAma1zerq7drJNCUpP5o/6RBd87FewWprR3tGWRwMKveQbLdF+UsNL8D5AW9bQAAkCTbnNLQNOTKYUpDrvNrQ5PWkkekVZQngucyUw4HMwDwK9vgJzQNudLkdmeT0pDLQDC0+dM5luuBccrqHF3EPcSQtlFG6GwdAMZr39KecU5pIY6n8XJ19nSqqaGpILmu2eyLVEhnyFyuf1NB/H4yEpZBbyaQLm2D4LmMcDADgNzJVaCZbtvFXNlB/nTmcnmOzuT3E0iQXSQjeJLzjPDk6AFACWhZ2DKm27tcBhzFOLJcYspBz2CPdvTtGDOf/oknlstztN/fT2DpNWEZ9CZLBM9lJDQ5egCACRVbZUdyEDajZoZeHXhVr/W+RkM6n3J5jvb7+wnkIi0sg95MAcFzkcqmUQGtggEgHCY7hhdbZUdyEPaWurdo3ox56hvuy0lDunKQy3O0399PIBdpYRn0ZgoInotQtrdZct0qGACQOT/H8AkDqRD2UpAqCJsbmauZtTPzktaSa2Ho5SKX52i/gfhULtKy3mc57CEmKDQYLEI0/Ate6FsxAwgtv8fwtA0SQ9hLQTGfl4q2cWZ3t3TZZVJbW8rGdn4atGb72Yt2n2WI3jZKCK2Yg1UuB4b4/XgAACAASURBVA0A+TGlY3hIeyko5uNi0Qb+ObqIyqbXmKLdZxmit40SUmy5cKWmGFvBAwiPdMfw+mn1k98GD2kvBcWcFlhsjTMljTa6mzdvyo3tsuk1ppD7zDnvESZVQRcAmWtd1qpV7aukqMZc4dPwrzA6ezo1q3bWmGmhP9ACCI1Ux/CewR45OUWHo2PyoNcoIQBN10vBypUFr31Ol7pWDMFysqaGpnG1qKGvkIpfRM2YIe3e7V1EFTCFZ6J9tm+ftHevNDjo/Y0/BgelgYH089K9HhyUbrpJOvDAgn28SRE8F6GWhS1aozV565wfEyvKAy2A0Eh1DK+prFF0X3TkuFJXUydFvTtdI8f2xIBJGttLQQEDp8QUjbSBfhEpugqpHF5EOSdFo/4D2fjrBS/9Xz3+57tVMRxR5b46RQertW+oSrNm/ZU+tCH3H3nv3nAFz4HlPJvZYZL+XdI8SfslrXXOrZ5oHXKeEQbFnNsHIJx85UGfd5706KPjV166VNqQh4gljZLJd01ocNf++iNFUyHl/ukaDa67SQMHztfe/dM0sL9WAz1R7T3n4xo47zPau3e0hjf5b/x5YkCcbRi4o3+HXnj9BQ0MDyhSFdGRs47U3Lq5MpMiEWn6dC+7aPr00Ue2rysCSjJOl/McZM3zsKRLnHOPmVm9pE1m9lvn3FMBlgmYFDX/QAAm6Vmg2Pm6o1XAAHkiJZO6tm6ddMcd0sKFarn88rwew+M1vInB7GQBbrplB/9whtzupdKrSW/yiwZpe+Zlq6nJNrCdq0hk7rh51dVSwjVgSQoseHbOdUnqij3vNbOnJR0iieAZoVesuX1A0UoIdMLSPVsuFVPqQEmkriU3uEuT8jA8PBq8JgaxyUFvqkA48fm27te0pfvFcbW0WTlhqWprR2t343/jzxOnp1omOSCurJzivixDoeiqzswaJd0v6Vjn3BvpliNtAwDKUEi7Z8u1bLoMC0IxpK45J735phe49vePBrMjz2/aoP7fPKCB6bPV3++094TT1L/09HHLR6NTL8uO/h16csefVFG1T9XThrW/qk+uakCLDn2rtu/doj37unTQgRF94B3NOqlpka/gN6g0hkIKw3gKoe3n2cxmSPofSd9yzt2WYv5KSSslacGCBSds27atwCUEAATqmmuk66+XZs70eha4+OKSrH0uJvkM9Pfv92ps40FsyuB3YOz8+PKJ8/fvT/MG0ah3AVZZ4eUXOCft2y+dcoqXw5CgokKqq5u8Vjc5yE38e95tZ2nHm9s0Y3rtyHZf631N3YPdajywMbQXIEEKywVaKINnM6uW9CtJv3HOfW+y5al5BoAyE691rq0drXkeHCzZ2udiF09zSAxk/QS/idMGB3NTlpoaL3itqxv7N/LAb1X38L2K1FcoUjGouopBRfp3qu4j79f0VZ8bs3xNzdTzd1M1Bn1217MaHB7UO9/yzpFpRdnoMk/C0ig1dA0GzfsV3SDpaT+BM8pUHhsJheGWEIBJhKR7tnIxPOwFsH19o0Ft/Hn8kfw68ZGrwDdem5sy+E3zPF5DHH9dlS7COe9fpcij0j55D8mLhrr2S2//XG4+QIJUOeJvDr+p2sraMcsVZaPLPAl7o9Qge9s4RdKnJf3JzDbHpl3hnLsrwDIhbPLUSKjU+imdCBcJKGqbNnkR3c6d46djnGg0fWA7UdAbnz/VHF8z7zpnsqB3ouA3Eslzbw0F7rUkVWPQyopKNUxvGLNcmBpdBn3eCHuj1MBznjNB2kaZyWMjobDcEsq3sOSNAZhcvDszP4FvX99omkPivKGhqZWhstILYsc9XJ9m3PVz1X32Y6qbVz9u/owZ3t/a2tLvpiwbyTnipzeervVPrA/lsTkM540wlEEKYdoGMKk8Dj8a9ltCudK2sU01FTUTj1oGIGecGw1o44/k18nzEh/Dw1N7/6qq0WA2XpsbD2yTA91IZPy8adPSBL/X/EB65rvSzteki0mXyVSq7k2XHrw0lL2rhOG8EfbxFKh5DlDQt0VCJzG/2bm8NhIql5pnX6OWARhj376xNbwTPZKXGRjIfsQ2yWugli6wTX6dqvY3LwNU5PAuIOe98OO8MYqa55App5xb3xLzm6W8NhIqpgEJpiLseWNAviQ2fPMb+MYfe/dO7b3jgW882I0/T34kzosHzEk9pYVDju4Cct4rDpw3JkfNc0DKpebTt+SajYULpT/+cfxyS5fmrLFHsQxIMBVhyRsDshGNpg9yJwuM33wz+/c1GxsA+wl+449IpMRGbMthV4Gc94oD541R1DyHTLnk3PqWXLOxbJl05515fctyGGI77HljKH37948NdHt7R//Gnye/zkXPD/HBLfwGvckBMI3eYnLYVSDnveLAeWNyBM8B4bZIgu5uaf16qb7ee11f771euZJBEHKgHC4SkH9DQ6kD3eTXydP7+7PPAU5s/OY38I0vM306AXBO5LCrQM57xYPzxsQIngNSLjm3vjAIAlAQznl33CcKfOMBb/L0qaRBxAPe+vr0f+vrxwfGaXt+QOHksE9kznv5Q0PMwiJ4Dgi3RRIUYBAEvwcWDkAoBvFUCL+Bb2KwvG/f5NtPpbJy8sA3/jxxesnlACNrE5738jiabKmjIWbh0WCwhBEIevw2fgh9IwlOLiUn3iDOb+CbmBOcrWnT/Ae+8Rrg+noGv0CeXXON9N3vSpdcwh3HDNEQM3/SNRgkeC5RoQ8EC8jvgSX0ByBOLqGUmArhJ/BN/Jttgziz0YA3McBNF/gmvq6uzu3nB6YsRT/S7a8/QuWPT/TLnD/0tlFmwjBCUFj4beEd6pbg8UaV8+bRmDJPnPPyet94Y2zwm/zo6xu7TF9f9qPCVVX5D3wTp9fVeb1JACUhqbelZ//pEq06/PfhSEMogjt+NMQsPILnElWIQLBY0kL8HlhCfQDK41DlpSYeBE8U/Kabnm0QHE+FSJf6kC4gpkEcyl6K3pam/+Q/NfdLh2hoZggqfxIH7wrpMZeGmIVH8Fyi8h0IpmugcNErF+m+rfeFKqD2e2CZygEorxcSZdqVX3IQnFzjO1FgPNUgeMYM6YADxga7qQLj+OtQjgoHFIMUvS3tH3pTn3qwXzd+4ICRxQK5C1gkd/wy6YCgWCq9wo6c53wK8HZPvnOeU+UHv9b/mroHutV4YGPo8qz9jiaYzaiDmezrrA5c11wjXX+9NHPm6LTdu6WLLw5tTUiieBA8UfCbbl62QXBNzcTBb6p5BMEoC2FLQzjvPOnRR8dMerX/NT1xWI2+9oW3jUwLpP1J4rG3iI656dAWKnM0GAxCwA288jn8dKoGCs92P6s3972pRW9ZNDIt1we8MF41+21omPWBK8XJRVJOhyr3wzmvgZufPODkmuChoezes6Yms+A3Pp0gGEijCBoehyLIy+Gw5GER+kbxIUTwXGgl3no41T/hE689odqqWr199ttHpuWyxW8oDqgp+G3pHKYDVzwdYrJUiOTpuQiC/QS/8WkEwUAOpTgvhTUQzGfljy9FfscvFXrlyBy9bRRamFsP50Cq/OCqiio11DSMWS6XedZh7UHEb355PhpxRqNjg9+7n3pQ//7o7era1afZlY169/yztWD6O8YFxNl2kVZd7QW1foNfgmAgRIqo4XHgw0MXYPCuQgt1o/giQ/CcD2FvPZwDqRoonH/c+Vr/xHr1R/vz0uI3rF3J+W1oONGBK1U6xESpEPHpiUHwjv4denLHgMxaVGmVesnt002uS8fOnaO5dXPHlCUeBE/UEC5VYEwQDBSpMm14nLUCpsQVSlC9coQx3XKqCJ7zIcyth3MoVc3A0oOX5i/POqRXzYkXEp3dL+vQ2qP1ueO+pMPePF0bN44Gv4tf/b7++Ojt2hWtV0V0pt7cW63hwema1XCKPprlcbqqygtq6+ulP269R5GmHZpeN6SKaQOqrB1QtGqXhmf+Qt/6+A/G1ApPm5bbfRBaYWscBQQlxXlJQ0Ohrn1GbmXSK0eulOrQ4QTP+ZDidk+tqrRwW6+k+SPTwhD45VqqgDpXV52FvGpOrAlOHAwjfX5wi2b2tqguVhN866+lW8dtdZGO7J+nF15/QX3DA4pURfS2WUdqVs3ckSA4k3zgeDpEPH3tv1Z/TQvS5LMtWvSDnO+jolAEfbQCBVGCaQjI3JTSYbKojAhruuVUETznQ4rbPY/Hr77ylNIQVrm86sz0qtk5qb8/9dDIkw2fnG3DuMQgOHXwO1f19XPHzcvFYBlhqZkPzS26IumjFSiIEkxDQIFlURkR1nTLqQq0tw0zO1PSakmVkq53zn17ouVD09tGlreCA289HIBc9DAxNDQa4KYLelMFx319XgCdjXhOcPKocBPlAwc9YlwheiOZLDDOe5/XmSixPloBIDBZ9tQSpl6mshG6rurMrFLSc5LeK2m7pEclne+ceyrdOqEJnougn8ywiHeNI5nc0DTtG4xo3+B07X5jWD8/965x3aH1948PjgcHs3//ujrvkWqo5ImGTi7WhnH5vEDzExjnvc9r+Qy6S7CPVgAITJaVEWHtYtavMAbPJ0u6yjn3/tjryyXJOXdNunVCETwXUT+Z+bBv3+S1wIl/f9Jxh/r6JBs6QNpfIUkadvtUW1mrkw872dd7Vlb6D3oTX9fVeesiN/wExvnu89r3gbhQfbTSIBFAqZtiZUQx33XPup9nM3vQOXdywut6SW91zj0+xTIdIumlhNfbJf3VFLeZUylruDZsLpp+MtNxThoYGM0H/vWf/6AbHr5FL+/ao4OqmvS+Qz+qI2YsShkcDwxk9l6H2kl6cu+fZOZUXROVq35DldN69Z6jT9XiOf2acc8vVH/huZoxb0baILi2NrhUCIzyk7uW7z6vfTc+KVTjKBokAih1U+ypJfA+u/PAT4PBaZJkZt9zzn3ZOddrZtdJ8ldtmF6qcGhcNbiZrZS0UpIWLFgwxbf0L1VDtyv/8ws67fp9mnFA7EorwH4y9+/3AtnEWuB7nn5IN3Xcrq7XezW7aoGWH3yODo8co76+0UA5ORfY6xv4TZl9RJVWqU63Tz9yO3Xs3B3j+gaWvCA2ubY3OS1ibBA8Vw/t2K8fPnGN/tL7YsJV55Fe7eDz35V6/yKtIvAIu3SBcX1NvZrXN6uzp1MHTDtAuwd3S8q+z+uJ+A66C9E4igaJANIITcPpXMigMqKkPvcEJk3bMLPHJb1f0pOS3uKcc2a22Tm3eEpvHPK0jVS3lS+4c5s+8XCfDllwzOiCU7gVvG/f+KA2+XWqR3+/FzgnfnVeEPwnmVWo0iq1z+2Tc/t17NzjUgbBtbVekPvbl27X3oqdqo0Mq6JmryprBzRU9brmNNRqzYevGRcMRyI5qgUu8/SXoGVzgEuVMrF7cLdMpobahpFpPYM9mls3V73R3rS36LLNgwtV4xMaJAJIodjzfLNVip8765znWI8Y10q6KzbpOUl/65xbNMUCVcW29R5JL8trMHiBc+7P6dYpZPCcKnfz2z96QUdt7dWh9YeMTBt2leo//lT1XffvEwa7qabv3Tu1MkYiozW9v3zxPzRgO1Qb2aeKaXtVMW1AQ5W7ddDM6Vr30e+PLDdjhldTXFWV/nMWZKx7Ao/A5KKxXjx3bdfeXYoOR7MKZjPKg4vlFt/zt+/X//PQFcEfnGmQCBSXArZPCNVFfgGV4ufOOufZOfdrSW+LbeRkSR+T9LmpFsg5N2xmqyT9Rl5XdT+eKHAutPhtZfeXZRp8tVH7BiM6/+AqRebP1TlN548ExIOD0o7eHXrhrAc1EBv44shZR6as7U1m5gWy8YA2McBN9Uhcpq5OqqgY3dYdq6/UYWmC4BNO+P6kn3OiW/E5v/XCMLGBmkqn9cm5a6O9qYzy24dnRnlwsdziMxYu1JrzCjtCVtryMFobUDwK2D6hVPs2nkw5fe6MBklxzj0o6cFcvblz7i6N1miHSnw0u74Xj9Tgc6eOpEEcMfc4bds2ulz33tf05z0Pq6puUPXTo9pX/Yaer7lfS44/W391xDETBsU5S4FQ9jmkqUbti9+Kj+6L5mc4zUIFHvSEkFIuD3AFGZglKbe4ZeVKtQRdi8FobUDxKHD7hLAMWFVo5fS5GWEwjfhodt/Y/Qv95cC/aP6sen1m6Ud0xlFzxwTAZ/38fB3WN/42xdP1v9EPP1O4E3y2Q1enGrWvpqpmzK34nA+nSU8IuZPFBUIuD3AFGTI98WIrLD3cMFobUDwKfAwpyHExhMrpcwc6wmCmQtHPc5LAcoZTyFVfimH6TFkr8gaJvhv0ZTFgT64bdeS1D09yiwFMRUDHkGLu23gqSu1zh26QlGyEMXguxQT5kvhMYWmQmEXNsO/gdgoXCEVzgCvUYCcAShPHEExBuuC5ItXC8K91Waui+6Pqj/bLOaf+aH/R36Yo+s+UrkHirl2FL0s8dWTtWt+rJDboMzPV1dSppqJGbRvbxm97aMirUYnnjPvUsrBF9150r1784ou696J7wxk4S2NTfOKP4WFyiwH4wzEEeUDNcw4UTS1eBor6M4WlpiHLmmFfaTOkM+RMuXTqDwDITNZd1WFy+R56MoiTe1EPpxmWnhCybKTiq0EfXaXlRKqRRHPaswwAoOSQthFy8ZN7V2/XmJN7+5b2oIsWXhs2SNu2jX9MpYeE7m5pxQr/qR9TSB3xlTbDrcic8J0iAwBADMFzyHFyD4lMc5fjNcPxoRwTa4Yn0bKwRWta1mh+/XztHtyt+fXzxzcWzMcFQhnq7OlUpDoyZlqpduoPAMgN0jZCrpxG7AmtbDrYn2LqSFGnzRSRcurUHwCQG9Q8h1xTQ5MGhgbGTOPkXmDZ9GpBzXBRKPqeZVJo39Ku5vXNalrdpOb1zaR4AUCOETyHXCme3ItKmLq9KxeZ5pdPga8UmSJCGwkAyD+C55ArtZN70ZlC7jKylEXf2FNRNH1e+0AbCQDIP3KeiwD5rwEKS7d3AQik/+Ns8ssxgjYSAIpRsfW3T80zMJFC5S4XMFUhleQ82av/5+pgbv9PYdRE0EYCQPEpxnQzgueQobFPmSpwqkKiVAeua/5wjaL7ooW9/V+A/PJS//+ijQSAYlOM6WYEzyFSjFdfyIHkVIUC1z6nOnDt279PPXt7xiyX99v/ec4vL4f/L9pIACg2xdjfPjnPIZIYxEjy/ka96Zz8SliWw3jnSqo82WlV0zQ4PDhmWt5v/+c5v7xc/r9oIwGgmBRjf/vUPIdIMV59YYpC0BVeqjzZhpoGVVVUFfb2f57zy/n/AoDwKcZ0M4LnEKGxTxkKQVd4qQ5cNdU1uvzUy0vq9j//XwAQPsWYbmbOuaDL4NuSJUtcR0dH0MXIm3hOZk1FjSLVEQ0MDSi6Pxr6HxGm4LzzpEcfHT996dKCjkYY7yZoa89WNTY0hr6boGzw/wUAyISZbXLOLRk3neA5XMIaxBRbH4xAKmH9/wIAhE+ogmcza5N0jqSopBck/Y1zrmfitcojeA4jauwAAEC5SRc8B5Xz/FtJxzrnFkl6TlLhuhZAxoqxD0YAAIB8CCR4ds7d7Zwbjr18SNKhQZQD/tBLAcKu1Ac/AQCERxh621ghiTNdiNFLAcKsHAY/AQCER96CZzO7x8yeTPE4N2GZr0kalnTzBNtZaWYdZtaxM3nwBBREMfbBiHDJZ80waUUAgEIKrLcNM7tI0t9Keo9zbmCy5SUaDAaJXgqQrXw3OG1a3aRZtbNkZiPTnHPaPbhbL37xxSlvHwBQntI1GAxkeG4zO1PSVyS922/gjGAx5C+yle9hsXM9tCvdMgIAJhJUzvMaSfWSfmtmm83sRwGVA0Ce5bvBaS7TisifBgBMJqjeNt7qnDvMObc49vjbIMoBIP/y3eA0l0O7kj8NAJhMIGkbAMpH67JWrWpfJUU1Juc5lw1Oc5VW1NnTqVm1s8ZMo1tGAECiMHRVB6CE5bJmON8K0S0jfVIDQHELrLeNbNDbBoB8ynfPIAx1DwDFI2zDcwNA6OS7lpycagAofuQ8A0CCfHbLSE41ABQ/ap4BoEAY6h4Aih/BMwD40d0trVgh7dqV9SYY6h4Aih/BMwD4sW6ddMcd0tq1WW+imHoeAQCkRm8bADCZ7m7p1FOlqippeFh64AFp9uygSwUAyCN62wCAbK1bJw0NSbW13t8p1D4DAIobwTMATKS7W1q/Xqqv917X13uvp5D7DAAoXgTPADCReK1zVaxnz6oqap8BoIzRzzMATGTTJi/PeefO8dMBAGWH4BkAJrJhQ9AlAACECGkbAAAAgE8EzwAAAIBPBM8AAACATwTPAAAAgE8EzwAAAIBPBM8AAACATwTPAJBH7Vva1by+WU2rm9S8vlntW9qDLhIAYAoCDZ7N7FIzc2Y2J8hyAEA+tG9p16r2Verq7dKs2lnq6u3SqvZVBNAAUMQCC57N7DBJ75X0l6DKAAD51LaxTTUVNaqrqZOZqa6mTjUVNWrb2BZ00QAAWQqy5vlfJF0myQVYBgDIm86eTkWqI2OmRaoj2tqzNZgCAQCmLJDg2cw+KOll59wTQbw/ABRCU0OTBoYGxkwbGBpQY0NjMAUCAExZ3oJnM7vHzJ5M8ThX0tckfcPndlaaWYeZdezcuTNfxQWAnGtd1qro/qj6o/1yzqk/2q/o/qhal7UGXTQAQJbMucJmTZjZcZL+W1K8OuZQSa9IOtE59+pE6y5ZssR1dHTkuYQAkDvtW9rVtrFNW3u2qrGhUa3LWtWysCXoYgEAJmFmm5xzS8ZNL3TwPK4AZlslLXHOdU+2LMEzAAAACiFd8Ew/zwAAAIBPVUEXwDnXGHQZAAAAAD+oeQYAAAB8IngGAAAAfCJ4BgAAAHwieAaAXOrullaskHbtCrokAIA8IHgGgFxat0664w5p7dqgSwIAyAOCZwDIle5uaf16ad487y+1zwBQcgieASBX1q2Thoak2lrvL7XPAFByCJ4BIBfitc719d7r+npqnwGgBBE8A0AuxGudq2JjT1VVUfsMACUo8BEGAaAkbNokDQ9LO3eOnw4AKBkEzwCQCxs2BF0CAEABkLYBAAAA+ETwDAAAAPhE8AwARax9S7ua1zeraXWTmtc3q31Le9BFAoCSRvAMAEWqfUu7VrWvUldvl2bVzlJXb5dWta8igAaAPCJ4BoAi1baxTTUVNaqrqZOZqa6mTjUVNWrb2BZ00QCgZBE8A0CR6uzpVKQ6MmZapDqirT1bgykQAJQBgmcAKFJNDU0aGBoYM21gaECNDY3BFAgAygDBMwAUqdZlrYruj6o/2i/nnPqj/Yruj6p1WWvQRQOAkkXwDAABy7bHjJaFLVrTskbz6+dr9+Buza+frzUta9SysCXPJQaA8mXOuaDL4NuSJUtcR0dH0MUAgJyJ95hRU1GjSHVEA0MDiu6PEgQDQMDMbJNzbknydGqeASBA9JgBAMUlsODZzP7BzJ41sz+b2T8HVQ4ACFK6HjOe2vEUg58AQAgFEjyb2XJJ50pa5Jw7RtJ3gigHAAQtVY8ZO/p2aE90D4OfAEAIBVXz/AVJ33bOvSlJzrkdAZUDAAKVqseM7sFuzYnMIZUDAEIoqOD5bZJOM7OHzex/zGxpugXNbKWZdZhZx86dOwtYRADIv1Q9Zhw47UDNjcwdsxyDnwBAOFTla8Nmdo+keSlmfS32vjMlnSRpqaSfm9kRLkXXH865tZLWSl5vG/kqLwAEpWVhy5ieNZrXN6urt0t1NXUj0xj8BADCIW81z865M5xzx6Z4/FLSdkm3Oc8jkvZLmpOvsgBAMWHwEwAIr6DSNn4hqVmSzOxtkmokdQdUFgAIFQY/AYDwylvaxiR+LOnHZvakpKiki1KlbABAuUpO5QAAhEMgwbNzLirpwiDeGwAAAMgWIwwCAAAAPhE8AwAAAD4RPAMAAAA+ETwDAAAAPhE8AwAAAD4RPAMAAAA+ETwDAAAAPhE8AwAAAD4RPANAkWjf0q7m9c1qWt2k5vXNat/SHnSRAKDsEDwDQBFo39KuVe2r1NXbpVm1s9TV26VV7asIoAGgwAieAaAItG1sU01Fjepq6mRmqqupU01Fjdo2tgVdNAAoKwTPAFAEOns6FamOjJkWqY5oa8/WYAoEAGWK4BkAikBTQ5MGhgbGTBsYGlBjQ2MwBQKAMkXwDABFoHVZq6L7o+qP9ss5p/5ov6L7o2pd1hp00QCgrBA8A0ARaFnYojUtazS/fr52D+7W/Pr5WtOyRi0LW4IuGgCUlaqgCwAA8KdlYQvBMgAEjJpnAAAAwCeCZwAAAMAngmcAAADAJ4JnAAAAwCeCZwAAAMCnQIJnM1tsZg+Z2WYz6zCzE4MoBwAAAJCJoGqe/1nS/3bOLZb0jdhrAAAAINSCCp6dpANizw+U9EpA5QAAAAB8C2qQlC9J+o2ZfUdeAL8soHIAAAAAvuUteDazeyTNSzHra5LeI+l/OeduNbOPS7pB0hlptrNS0kpJWrBgQZ5KCwAAAEzOnHOFf1OzPZIanHPOzEzSHufcAZOtt2TJEtfR0ZH/AgIAAKCsmdkm59yS5OlB5Ty/IundsefNkrYEVA4AAADAt6Bynj8vabWZVUkaVCwtAwAAAAizQIJn59wfJJ0QxHsDAAAA2WKEQQAAAMAngmcAAADAJ4JnAAAAwCeCZwAAAMAngmcAAADAJ4JnAAAAwCeCZwAAAMAngmcAAADAJ4JnAAAAwCeCZwAAAMAnc84FXQbfzGynpG0BvPUcSd0BvG+xYn9ljn2WGfZXZthfmWF/ZYb9lRn2V2aC3F+HO+cOSp5YVMFzUMyswzm3JOhyFAv2V+bYZ5lhf2WG/ZUZ9ldm2F+ZYX9lJoz7i7QNAAAAwCeCZwAAAMAngmd/1gZdgCLD/soc+ywz7K/MsL8yw/7KDPsrM+yvzIRuf5HzDAAAAPhEzTMAAADgU9kHz2Z2ppk9a2bPm9lXU8w3M7s2Nv+PZvYuv+uWyPPyUgAABO5JREFUIh/761Ox/fRHM9toZu9MmLfVzP5kZpvNrKOwJQ+Gj/11upntie2TzWb2Db/rliIf+6s1YV89aWb7zGxWbF45/r5+bGY7zOzJNPM5fiXwsb84fiXwsb84fiXwsb84fiUws8PM7Hdm9rSZ/dnMvphimXAew5xzZfuQVCnpBUlHSKqR9ISkdyQt8wFJ7ZJM0kmSHva7bqk9fO6vZZJmxp63xPdX7PVWSXOC/hwh21+nS/pVNuuW2iPTzyzpHEn3luvvK/aZ/1rSuyQ9mWY+x6/M9hfHr8z2F8evDPZX0rIcv6T5kt4Ve14v6bliicHKveb5REnPO+dedM5FJf1M0rlJy5wr6d+d5yFJDWY23+e6pWbSz+yc2+ic2x17+ZCkQwtcxjCZym+E39fkn/l8ST8tSMlCyjl3v6TXJ1iE41eCyfYXx6+xfPy+0uH3NTmOX851Oeceiz3vlfS0pEOSFgvlMazcg+dDJL2U8Hq7xn9x6Zbxs26pyfQzf07eFWOck3S3mW0ys5V5KF/Y+N1fJ5vZE2bWbmbHZLhuKfH9mc0sIulMSbcmTC6335cfHL+yV+7HL784fmWI49d4ZtYo6XhJDyfNCuUxrKpQbxRSlmJacvcj6Zbxs26p8f2ZzWy5vJPPqQmTT3HOvWJmcyX91syeiV2plyo/++sxecN/9pnZByT9QtJCn+uWmkw+8zmSHnDOJdbylNvvyw+OX1ng+OUbx6/scPxKYGYz5F1IfMk590by7BSrBH4MK/ea5+2SDkt4faikV3wu42fdUuPrM5vZIknXSzrXObcrPt0590rs7w5Jt8u77VLKJt1fzrk3nHN9sed3Sao2szl+1i1BmXzmTyrplmcZ/r784PiVIY5f/nH8yhrHrxgzq5YXON/snLstxSKhPIaVe/D8qKSFZtZkZjXyftB3JC1zh6TPxFp8niRpj3Ouy+e6pWbSz2xmCyTdJunTzrnnEqbXmVl9/Lmk90lK2SK5hPjZX/PMzGLPT5T3P7nLz7olyNdnNrMDJb1b0i8TppXj78sPjl8Z4PiVGY5fmeP4NSr227lB0tPOue+lWSyUx7CyTttwzg2b2SpJv5HXcvPHzrk/m9nfxub/SNJd8lp7Pi9pQNLfTLRuAB+jYHzur29Imi3putgxddg5t0TSWyTdHptWJeknzrlfB/AxCsbn/jpP0hfMbFjSXkmfdF5TYn5fqfeXJH1Y0t3Ouf6E1cvu9yVJZvZTeT0ezDGz7ZK+Kala4viVio/9xfErgY/9xfErgY/9JXH8SnSKpE9L+pOZbY5Nu0LSAincxzBGGAQAAAB8Kve0DQAAAMA3gmcAAADAJ4JnAAAAwCeCZwAAAMAngmcAAADAJ4JnAAAAwCeCZwAAAMAngmcAKEFm9kEz25A07Qtmdm1QZQKAUkDwDACl6VuSrkqa9oKkdxS+KABQOgieAaDEmNk7JVU45540s8PN7AuxWdWSGFYWAKaA4BkASs9iSZtiz98raWHs+TskPRFIiQCgRBA8A0DpqZA0w8wqJX1EUr2ZTZf0WUk/CbJgAFDsCJ4BoPTcJekISZsl/UjSMZI6JK11zj0WZMEAoNiZc6S/AQAAAH5Q8wwAAAD4RPAMAAAA+ETwDAAAAPhE8AwAAAD4RPAMAAAA+ETwDAAAAPhE8AwAAAD4RPAMAAAA+PT/A4H0jnKJ3j5CAAAAAElFTkSuQmCC\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plot_loss(history_2_l2_uf)\n",
"plot_sets(lor_train_n, lor_test_n, NN_model = model_2_l2_uf,title = \"Noisy Lorentz FFNN reg. underfit\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Inspect the weights"
]
},
{
"cell_type": "code",
"execution_count": 37,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"weights = model_2_l2_uf.layers[1].get_weights()[0]\n",
"plt.hist(weights.flatten(),bins=50);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Break Out Room 1\n",
"\n",
"#### Prevent the training from overfitting \n",
"1. Overfit the given data below. \n",
"2. Plot the loss for the overfit neural network \n",
"3. Regularize all the layers of this model using either L1 or L2. Find a good set of regularization coefficients\n",
"4. Plot the losses for the regularized neural network \n",
"\n",
"Note: Use the functions we have declared above for plotting the loss and the neural network output"
]
},
{
"cell_type": "code",
"execution_count": 38,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"r1_set = pd.read_csv('../data/breakRoom1.csv')\n",
"\n",
"r1_train, r1_test = train_test_split(r1_set, train_size=0.7, random_state=109)\n",
"x_train1, y_train1, x_test1, y_test1 = reshape_and_extract_sets(r1_train, r1_test)\n",
"\n",
"plot_sets(r1_train, r1_test)"
]
},
{
"cell_type": "code",
"execution_count": 39,
"metadata": {},
"outputs": [],
"source": [
"epochs_max1=2000\n",
"n_neurons1=50\n",
"\n",
"model_br1 = models.Sequential(name='br1_overfit')\n",
"\n",
"# first hidden layer \n",
"model_br1.add(layers.Dense(n_neurons1, activation='tanh',\n",
" kernel_initializer='random_normal', bias_initializer='random_normal', \n",
" input_shape=(1,)))\n",
"# second hidden layer \n",
"model_br1.add(layers.Dense(n_neurons1, activation='tanh'))\n",
"\n",
"# third hidden layer \n",
"model_br1.add(layers.Dense(n_neurons1, activation='tanh'))\n",
"\n",
"# output layer, one neuron \n",
"model_br1.add(layers.Dense(1, activation='linear'))\n",
"\n",
"adam = optimizers.Adam(lr=0.01) \n",
"model_br1.compile(loss='MSE',optimizer=adam) \n"
]
},
{
"cell_type": "code",
"execution_count": 40,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"CPU times: user 1min 21s, sys: 4.4 s, total: 1min 26s\n",
"Wall time: 1min 25s\n"
]
}
],
"source": [
"%%time\n",
"history_br1 = model_br1.fit(x_train1, y_train1,\n",
" validation_data=(x_test1,y_test1), epochs=epochs_max1, batch_size= 32, verbose=0) "
]
},
{
"cell_type": "code",
"execution_count": 41,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plot_loss(history_br1)\n",
"plot_sets(r1_train, r1_test, NN_model = model_br1, title = \"BreakRoom1_noRegularization\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Regularize the network"
]
},
{
"cell_type": "code",
"execution_count": 42,
"metadata": {},
"outputs": [],
"source": [
"## Your code here"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [],
"source": [
"# %load '../solutions/sol_1.py'\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Explore the Adam optimizer \n",
"We explore method to improve the training. \n",
"\n",
"- Learning rate\n",
"- Momentum\n",
"- Number of minibatches\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Learning Rate"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Baseline model"
]
},
{
"cell_type": "code",
"execution_count": 44,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"CPU times: user 1min 34s, sys: 5.07 s, total: 1min 40s\n",
"Wall time: 1min 45s\n"
]
}
],
"source": [
"%%time\n",
"\n",
"kernel_weight = 0.003\n",
"bias_weight = 0.003\n",
"\n",
"model_2_l2 = models.Sequential(name='noiseLorentzModel_l2_baseline')\n",
"# first hidden layer \n",
"model_2_l2.add(layers.Dense(n_neurons, activation='tanh', input_shape=(1,),\n",
" kernel_initializer='random_normal', bias_initializer='random_normal', \n",
" kernel_regularizer=regularizers.l2(kernel_weight),\n",
" bias_regularizer=regularizers.l2(bias_weight) ))\n",
"\n",
"# second hidden layer \n",
"model_2_l2.add(layers.Dense(n_neurons, activation='tanh', \n",
" kernel_regularizer= regularizers.l2(kernel_weight)))\n",
"\n",
"# output layer, one neuron \n",
"model_2_l2.add(layers.Dense(1, activation='linear'))\n",
"\n",
"\n",
"model_2_l2.compile(loss='MSE',optimizer=optimizer) \n",
"\n",
"history_2_l2 = model_2_l2.fit(x_train, y_train, \n",
" validation_data=(x_test,y_test), epochs=epochs_max, batch_size= 32, verbose=0) \n",
"\n",
"plot_loss(history_2_l2, rolling = 30)\n",
"plot_sets(lor_train_n, lor_test_n, NN_model = model_2_l2, title = \"Noisy Lorentz FFNN L2 regularization\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Too large of a learning rate"
]
},
{
"cell_type": "code",
"execution_count": 45,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"optimizer_large_lr = optimizers.Adam(lr=0.3) \n",
"\n",
"kernel_weight = 0.003\n",
"bias_weight = 0.003\n",
"\n",
"model_2_l2 = models.Sequential(name='noiseLorentzModel_l2_large_lr')\n",
"# first hidden layer \n",
"model_2_l2.add(layers.Dense(n_neurons, activation='tanh', input_shape=(1,),\n",
" kernel_initializer='random_normal', bias_initializer='random_normal', \n",
" kernel_regularizer=regularizers.l2(kernel_weight),\n",
" bias_regularizer=regularizers.l2(bias_weight) ))\n",
"\n",
"# second hidden layer \n",
"model_2_l2.add(layers.Dense(n_neurons, activation='tanh', \n",
" kernel_regularizer= regularizers.l2(kernel_weight)))\n",
"\n",
"# output layer, one neuron \n",
"model_2_l2.add(layers.Dense(1, activation='linear'))\n",
"\n",
"\n",
"model_2_l2.compile(loss='MSE',optimizer=optimizer_large_lr) \n",
"\n",
"history_2_l2 = model_2_l2.fit(x_train, y_train, \n",
" validation_data=(x_test,y_test), epochs=epochs_max, batch_size= 32, verbose=0) \n",
"\n",
"plot_loss(history_2_l2, rolling = 30)\n",
"plot_sets(lor_train_n, lor_test_n, NN_model = model_2_l2, title = \"Noisy Lorentz FFNN L2 regularization\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Too small learning rate"
]
},
{
"cell_type": "code",
"execution_count": 63,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"optimizer_small_lr = optimizers.Adam(lr=0.001)\n",
"\n",
"kernel_weight = 0.003\n",
"bias_weight = 0.003\n",
"\n",
"model_2_l2 = models.Sequential(name='noiseLorentzModel_l2_small_lr')\n",
"# first hidden layer \n",
"model_2_l2.add(layers.Dense(n_neurons, activation='tanh', input_shape=(1,),\n",
" kernel_initializer='random_normal', bias_initializer='random_normal', \n",
" kernel_regularizer=regularizers.l2(kernel_weight),\n",
" bias_regularizer=regularizers.l2(bias_weight) ))\n",
"\n",
"# second hidden layer \n",
"model_2_l2.add(layers.Dense(n_neurons, activation='tanh', \n",
" kernel_regularizer= regularizers.l2(kernel_weight)))\n",
"\n",
"# output layer, one neuron \n",
"model_2_l2.add(layers.Dense(1, activation='linear'))\n",
"\n",
"\n",
"model_2_l2.compile(loss='MSE',optimizer=optimizer_small_lr) \n",
"\n",
"history_2_l2 = model_2_l2.fit(x_train, y_train, \n",
" validation_data=(x_test,y_test), epochs=epochs_max, batch_size= 32, verbose=0) \n",
"\n",
"plot_loss(history_2_l2, rolling = 30)\n",
"plot_sets(lor_train_n, lor_test_n, NN_model = model_2_l2, title = \"Noisy Lorentz FFNN L2 regularization\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Batching"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Very large batch size"
]
},
{
"cell_type": "code",
"execution_count": 47,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"%%time\n",
"batch_size = lor_train.shape[0]\n",
"\n",
"kernel_weight = 0.003\n",
"bias_weight = 0.003\n",
"\n",
"model_2_l2 = models.Sequential(name='noiseLorentzModel_l2_large_batch')\n",
"# first hidden layer \n",
"model_2_l2.add(layers.Dense(n_neurons, activation='tanh', input_shape=(1,),\n",
" kernel_initializer='random_normal', bias_initializer='random_normal', \n",
" kernel_regularizer=regularizers.l2(kernel_weight),\n",
" bias_regularizer=regularizers.l2(bias_weight) ))\n",
"\n",
"# second hidden layer \n",
"model_2_l2.add(layers.Dense(n_neurons, activation='tanh', \n",
" kernel_regularizer= regularizers.l2(kernel_weight)))\n",
"\n",
"# output layer, one neuron \n",
"model_2_l2.add(layers.Dense(1, activation='linear'))\n",
"\n",
"\n",
"model_2_l2.compile(loss='MSE',optimizer=optimizer) \n",
"\n",
"history_2_l2 = model_2_l2.fit(x_train, y_train, \n",
" validation_data=(x_test,y_test), epochs=epochs_max, batch_size= batch_size, verbose=0) \n",
"\n",
"plot_loss(history_2_l2, rolling = 30)\n",
"plot_sets(lor_train_n, lor_test_n, NN_model = model_2_l2, title = \"Noisy Lorentz FFNN L2 regularization\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Very small batch size (too slow)\n",
"check the training time, it is more than 3 times slower than the network with batch size 32"
]
},
{
"cell_type": "code",
"execution_count": 48,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"CPU times: user 4min 56s, sys: 18.4 s, total: 5min 14s\n",
"Wall time: 4min 44s\n"
]
}
],
"source": [
"%%time\n",
"batch_size = 4\n",
"\n",
"kernel_weight = 0.003\n",
"bias_weight = 0.003\n",
"\n",
"model_2_l2 = models.Sequential(name='noiseLorentzModel_l2_large_batch')\n",
"# first hidden layer \n",
"model_2_l2.add(layers.Dense(n_neurons, activation='tanh', input_shape=(1,),\n",
" kernel_initializer='random_normal', bias_initializer='random_normal', \n",
" kernel_regularizer=regularizers.l2(kernel_weight),\n",
" bias_regularizer=regularizers.l2(bias_weight) ))\n",
"\n",
"# second hidden layer \n",
"model_2_l2.add(layers.Dense(n_neurons, activation='tanh', \n",
" kernel_regularizer= regularizers.l2(kernel_weight)))\n",
"\n",
"# output layer, one neuron \n",
"model_2_l2.add(layers.Dense(1, activation='linear'))\n",
"\n",
"\n",
"model_2_l2.compile(loss='MSE',optimizer=optimizer) \n",
"\n",
"history_2_l2 = model_2_l2.fit(x_train, y_train, \n",
" validation_data=(x_test,y_test), epochs=epochs_max, batch_size= batch_size, verbose=0) \n",
"\n",
"plot_loss(history_2_l2, rolling = 30)\n",
"plot_sets(lor_train_n, lor_test_n, NN_model = model_2_l2, title = \"Noisy Lorentz FFNN L2 regularization\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Classification Task\n",
"\n",
"#### Wine Dataset\n",
"\n",
"Here, we will work with the wine dataset which we saw in Section 5. First, we overfit the data with a neural network.\n"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [],
"source": [
"def get_rolling_avg(arr, rolling = 10):\n",
" return pd.Series(arr).rolling(rolling).mean()\n",
"\n",
"def plot_accuracy_loss_rolling(model_history, rollNum=10):\n",
" plt.figure(figsize=[12,4])\n",
" plt.subplot(1,2,1)\n",
" plt.semilogx(get_rolling_avg(model_history.history['accuracy'],rollNum), label = 'train_acc', linewidth=4)\n",
" plt.semilogx(get_rolling_avg(model_history.history['val_accuracy'],rollNum), label = 'val_acc', linewidth=4, alpha=.7)\n",
" plt.xlabel('Epoch')\n",
" plt.ylabel('Rolling Accuracy')\n",
" plt.legend()\n",
"\n",
" plt.subplot(1,2,2)\n",
" plt.loglog(get_rolling_avg(model_history.history['loss'],rollNum), label = 'train_loss', linewidth=4)\n",
" plt.loglog(get_rolling_avg(model_history.history['val_loss'],rollNum), label = 'val_loss', linewidth=4, alpha=.7)\n",
" plt.xlabel('Epoch')\n",
" plt.ylabel('Rolling Loss')\n",
" plt.legend()\n",
" plt.show()\n",
"# print('Accuracy in temodel_history.history['val_accuracy'][-1])"
]
},
{
"cell_type": "code",
"execution_count": 50,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"(178, 13)\n",
"(178, 1)\n"
]
},
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" \n",
" alcohol \n",
" malic_acid \n",
" ash \n",
" alcalinity_of_ash \n",
" magnesium \n",
" total_phenols \n",
" flavanoids \n",
" nonflavanoid_phenols \n",
" proanthocyanins \n",
" color_intensity \n",
" hue \n",
" od280/od315_of_diluted_wines \n",
" proline \n",
" class \n",
" \n",
" \n",
" \n",
" \n",
" 0 \n",
" 14.23 \n",
" 1.71 \n",
" 2.43 \n",
" 15.6 \n",
" 127.0 \n",
" 2.80 \n",
" 3.06 \n",
" 0.28 \n",
" 2.29 \n",
" 5.64 \n",
" 1.04 \n",
" 3.92 \n",
" 1065.0 \n",
" 0 \n",
" \n",
" \n",
" 1 \n",
" 13.20 \n",
" 1.78 \n",
" 2.14 \n",
" 11.2 \n",
" 100.0 \n",
" 2.65 \n",
" 2.76 \n",
" 0.26 \n",
" 1.28 \n",
" 4.38 \n",
" 1.05 \n",
" 3.40 \n",
" 1050.0 \n",
" 0 \n",
" \n",
" \n",
" 2 \n",
" 13.16 \n",
" 2.36 \n",
" 2.67 \n",
" 18.6 \n",
" 101.0 \n",
" 2.80 \n",
" 3.24 \n",
" 0.30 \n",
" 2.81 \n",
" 5.68 \n",
" 1.03 \n",
" 3.17 \n",
" 1185.0 \n",
" 0 \n",
" \n",
" \n",
" 3 \n",
" 14.37 \n",
" 1.95 \n",
" 2.50 \n",
" 16.8 \n",
" 113.0 \n",
" 3.85 \n",
" 3.49 \n",
" 0.24 \n",
" 2.18 \n",
" 7.80 \n",
" 0.86 \n",
" 3.45 \n",
" 1480.0 \n",
" 0 \n",
" \n",
" \n",
" 4 \n",
" 13.24 \n",
" 2.59 \n",
" 2.87 \n",
" 21.0 \n",
" 118.0 \n",
" 2.80 \n",
" 2.69 \n",
" 0.39 \n",
" 1.82 \n",
" 4.32 \n",
" 1.04 \n",
" 2.93 \n",
" 735.0 \n",
" 0 \n",
" \n",
" \n",
"
\n",
"
"
],
"text/plain": [
" alcohol malic_acid ash alcalinity_of_ash magnesium total_phenols \\\n",
"0 14.23 1.71 2.43 15.6 127.0 2.80 \n",
"1 13.20 1.78 2.14 11.2 100.0 2.65 \n",
"2 13.16 2.36 2.67 18.6 101.0 2.80 \n",
"3 14.37 1.95 2.50 16.8 113.0 3.85 \n",
"4 13.24 2.59 2.87 21.0 118.0 2.80 \n",
"\n",
" flavanoids nonflavanoid_phenols proanthocyanins color_intensity hue \\\n",
"0 3.06 0.28 2.29 5.64 1.04 \n",
"1 2.76 0.26 1.28 4.38 1.05 \n",
"2 3.24 0.30 2.81 5.68 1.03 \n",
"3 3.49 0.24 2.18 7.80 0.86 \n",
"4 2.69 0.39 1.82 4.32 1.04 \n",
"\n",
" od280/od315_of_diluted_wines proline class \n",
"0 3.92 1065.0 0 \n",
"1 3.40 1050.0 0 \n",
"2 3.17 1185.0 0 \n",
"3 3.45 1480.0 0 \n",
"4 2.93 735.0 0 "
]
},
"execution_count": 50,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from sklearn.datasets import load_wine\n",
"dataset_wine = load_wine()\n",
"X_wine = pd.DataFrame(data=dataset_wine.data, columns=dataset_wine.feature_names)\n",
"y_wine = pd.DataFrame(data=dataset_wine.target, columns=['class'])\n",
"print(X_wine.shape)\n",
"print(y_wine.shape)\n",
"full_df_wine = pd.concat([X_wine, y_wine], axis=1)\n",
"full_df_wine.head()"
]
},
{
"cell_type": "code",
"execution_count": 51,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"CPU times: user 43.1 s, sys: 2.48 s, total: 45.6 s\n",
"Wall time: 42.6 s\n"
]
}
],
"source": [
"%%time\n",
"X_train_wine, X_test_wine, y_train_wine, y_test_wine = train_test_split(X_wine, y_wine, test_size=0.6, random_state=41)\n",
"\n",
"model_wine_ofit = models.Sequential([\n",
" layers.Input(shape = (13,)),\n",
" layers.Dense(32, activation='relu'),\n",
" layers.Dense(32, activation='relu'),\n",
" layers.Dense(3, activation = 'softmax')\n",
"])\n",
"model_wine_ofit.compile(\n",
" loss='sparse_categorical_crossentropy',\n",
" optimizer=optimizers.Adam(0.005),\n",
" metrics=['accuracy'],\n",
")\n",
"wine_trained_ofit = model_wine_ofit.fit(\n",
" x = X_train_wine.to_numpy(), y = y_train_wine.to_numpy(), verbose=0,\n",
" epochs=1000, validation_data= (X_test_wine.to_numpy(), y_test_wine.to_numpy()),\n",
")\n"
]
},
{
"cell_type": "code",
"execution_count": 52,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plot_accuracy_loss_rolling(wine_trained_ofit, rollNum=50)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Add L2 regularization"
]
},
{
"cell_type": "code",
"execution_count": 53,
"metadata": {},
"outputs": [],
"source": [
"kernel_weight = 0.01\n",
"bias_weight = 0.01\n",
"model_wine_l2 = models.Sequential([\n",
" layers.Input(shape = (13,)),\n",
" layers.Dense(32, activation='relu', kernel_regularizer=regularizers.l2(kernel_weight), bias_regularizer=regularizers.l2(bias_weight)),\n",
" layers.Dense(32, activation='relu', kernel_regularizer=regularizers.l2(kernel_weight), bias_regularizer=regularizers.l2(bias_weight)),\n",
" layers.Dense(3, activation = 'softmax')\n",
"])\n",
"model_wine_l2.compile(\n",
" loss='sparse_categorical_crossentropy',\n",
" optimizer=optimizers.Adam(0.005),\n",
" metrics=['accuracy'],\n",
")\n",
"wine_trained_l2 = model_wine_l2.fit(\n",
" x = X_train_wine.to_numpy(), y = y_train_wine.to_numpy(), verbose=0,\n",
" epochs=1000, validation_data= (X_test_wine.to_numpy(), y_test_wine.to_numpy()),\n",
")"
]
},
{
"cell_type": "code",
"execution_count": 54,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plot_accuracy_loss_rolling(wine_trained_l2, rollNum=50)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Break Out Room 2\n",
"\n",
"#### Recall from Section 9 that we had overfit to the Iris dataset\n",
"1. Run the given code below to overfit to the Iris dataset (this is the same as in Section 9)\n",
"2. Regularize the neural network on the Iris dataset. Tip: The regularization coefficient should be in the range 0.01 - 0.05 \n",
"3. Plot the accuracy and losses\n",
"\n",
"Note: Use the functions we've declared above for plotting the loss and the neural network output"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [],
"source": [
"from sklearn import datasets\n",
"\n",
"iris_data = datasets.load_iris()\n",
"X = pd.DataFrame(data=iris_data.data, columns=iris_data.feature_names)\n",
"y = pd.DataFrame(data=iris_data.target, columns=['species'])\n"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"CPU times: user 42.4 s, sys: 2.26 s, total: 44.6 s\n",
"Wall time: 45.9 s\n"
]
}
],
"source": [
"%%time\n",
"# Increase the size of the testing set to encourage overfitting \n",
"X_train_iris, X_test_iris, y_train_iris, y_test_iris = train_test_split(X, y, test_size=0.6, \n",
" random_state=41)\n",
"\n",
"\n",
"model_iris_ofit = models.Sequential([\n",
" layers.Input(shape = (4,)),\n",
" layers.Dense(32, activation='relu'),\n",
" layers.Dense(32, activation='relu'),\n",
" layers.Dense(3, activation = 'softmax')\n",
"])\n",
"model_iris_ofit.compile(\n",
" loss='sparse_categorical_crossentropy',\n",
" optimizer=optimizers.Adam(0.005),\n",
" metrics=['accuracy'],\n",
")\n",
"\n",
"##################\n",
"# TRAIN THE MODEL\n",
"##################\n",
"iris_trained_ofit = model_iris_ofit.fit(\n",
" x = X_train_iris.to_numpy(), y = y_train_iris.to_numpy(), verbose=0,\n",
" epochs=1000, validation_data= (X_test_iris.to_numpy(), y_test_iris.to_numpy()),\n",
")\n"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plot_accuracy_loss_rolling(iris_trained_ofit)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Now regularize the network to reduce overfitting to Iris dataset"
]
},
{
"cell_type": "code",
"execution_count": 58,
"metadata": {},
"outputs": [],
"source": [
"#your code here"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [],
"source": [
"# %load '../solutions/sol_2.py'\n"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [],
"source": [
"# %load '../solutions/sol_2b.py'\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\n",
"----------\n",
"\n",
"\n",
"\n",
"\n",
"## End of Section\n",
"\n",
"----------"
]
}
],
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"language": "python",
"name": "python3"
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"language_info": {
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"file_extension": ".py",
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"name": "python",
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"toc": {
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"title_cell": "Table of Contents",
"title_sidebar": "Contents",
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"toc_window_display": false
},
"varInspector": {
"cols": {
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},
"kernels_config": {
"python": {
"delete_cmd_postfix": "",
"delete_cmd_prefix": "del ",
"library": "var_list.py",
"varRefreshCmd": "print(var_dic_list())"
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"r": {
"delete_cmd_postfix": ") ",
"delete_cmd_prefix": "rm(",
"library": "var_list.r",
"varRefreshCmd": "cat(var_dic_list()) "
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},
"types_to_exclude": [
"module",
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