{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#
CS109A Introduction to Data Science\n",
"\n",
"## Standard Section 10: Feed Forward Neural Networks, Regularization, SGD Solver\n",
"\n",
"**Harvard University**
\n",
"**Fall 2019**
\n",
"**Instructors**: Pavlos Protopapas, Kevin Rader, and Chris Tanner
\n",
"**Section Leaders**: Marios Mattheakis, Abhimanyu (Abhi) Vasishth, Robbert (Rob) Struyven
"
]
},
{
"cell_type": "code",
"execution_count": 122,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n"
],
"text/plain": [
""
]
},
"execution_count": 122,
"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": [
"The goal of this section is solve a difficult regression task and to be familiar with the regularization and with the solver that is used in 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\n",
"4. Explore the SGD solver \n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Import packages"
]
},
{
"cell_type": "code",
"execution_count": 123,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"import pandas as pd\n",
"import matplotlib\n",
"import matplotlib.pyplot as plt\n",
"# from pandas import DataFrame\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",
"\n",
"from sklearn.linear_model import LinearRegression\n",
"from sklearn.metrics import mean_squared_error, r2_score\n",
"from sklearn.preprocessing import PolynomialFeatures\n",
"\n",
"import copy\n",
"import operator\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"---------\n",
"## 1. Regression: Neuran Nets VS Polynomial Regression\n",
"\n",
"We will try to 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 want to fit the observations. Let's assume that we perform an experiment and the observations came from a Lorentz material. "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Lorentz model"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [],
"source": [
"def Lorentz(w,w0=1):\n",
" Gamma = 7e-2\n",
" eps = 1 - w0**2/(w0**2-w**2+1j*Gamma)\n",
" return eps.real"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=[8,4] )\n",
"w = np.linspace(0,2,128)\n",
"e = Lorentz(w)\n",
"wTest = np.linspace(0.01,1.95, 64)\n",
"eTest = Lorentz(wTest) \n",
"\n",
"plt.plot(w,e,'ob',label='Train')\n",
"plt.plot(wTest,eTest,'or',label='Test')\n",
"plt.xlabel('$\\omega$')\n",
"plt.ylabel('$\\epsilon$')\n",
"plt.ylim([-10,10]);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Using polynomial regression to fit the data"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"x = copy.copy(w)\n",
"y = copy.copy(e)\n",
"\n",
"# transforming the data to include another axis\n",
"x = x[:, np.newaxis]\n",
"y = y[:, np.newaxis]\n",
"\n",
"polynomial_features= PolynomialFeatures(degree=15)\n",
"x_poly = polynomial_features.fit_transform(x)\n",
"\n",
"model = LinearRegression()\n",
"model.fit(x_poly, y)\n",
"y_poly_pred = model.predict(x_poly)\n",
"\n",
"rmse = np.sqrt(mean_squared_error(y,y_poly_pred))\n",
"r2 = r2_score(y,y_poly_pred)\n",
"# print(rmse)\n",
"# print(r2)\n",
"\n",
"\n",
"plt.plot(x,y,'ob')\n",
"# sort the values of x before line plot\n",
"sort_axis = operator.itemgetter(0)\n",
"sorted_zip = sorted(zip(x,y_poly_pred), key=sort_axis)\n",
"x, y_poly_pred = zip(*sorted_zip)\n",
"plt.plot(x, y_poly_pred, color='m',linewidth=2)\n",
"plt.show()\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Using Neural Networks"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Design the Network"
]
},
{
"cell_type": "code",
"execution_count": 46,
"metadata": {},
"outputs": [],
"source": [
"model_1 = models.Sequential(name='LorentzModel')\n",
"\n",
"# hidden layer with 20 neurons (or nodes)\n",
"model_1.add(layers.Dense(50, kernel_initializer='uniform', activation='tanh', input_shape=(1,)))\n",
"#second hidden layer with 20 neurons (or nodes)\n",
"model_1.add(layers.Dense(50, kernel_initializer='uniform', activation='tanh'))\n",
"\n",
"# output layer, one neuron \n",
"model_1.add(layers.Dense(1, activation='linear'))\n",
"\n",
"# model_t.summary()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Select a solver and train the NN"
]
},
{
"cell_type": "code",
"execution_count": 47,
"metadata": {},
"outputs": [],
"source": [
"sgd = optimizers.SGD(lr=0.01, momentum=0.9)\n",
"model_1.compile(loss='MSE',optimizer=sgd) \n",
"history_1 = model_1.fit(w, e, validation_data=(wTest,eTest), epochs=800, batch_size= 32, verbose=0) \n",
"# history_1 = model_1.fit(w, e, epochs=800, batch_size=32, verbose=0, validation_split=.1)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Plot the training and validation loss"
]
},
{
"cell_type": "code",
"execution_count": 48,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(0.5, 0, 'Epoch')"
]
},
"execution_count": 48,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.plot(history_1.history['loss'],'b',label='train')\n",
"plt.plot(history_1.history['val_loss'],'r', label='val')\n",
"plt.legend(loc='upper right')\n",
"\n",
"plt.title('Model loss')\n",
"plt.ylabel('Loss')\n",
"plt.xlabel('Epoch')\n",
"\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Visualize the model prediction"
]
},
{
"cell_type": "code",
"execution_count": 49,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 49,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"e_hat = model_1.predict(w)\n",
"\n",
"# plot the prediction and the ground truth\n",
"plt.plot(w, e,'.r',label='data')\n",
"plt.plot(w, e_hat,'b', label='FFNN' )\n",
"plt.legend()\n",
"\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 2. Noisy data, underfitting and overfitting"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### In real experiments we have always noise\n",
"Hence, in reality we measure observations taken by \n",
"$$ \\varepsilon(\\omega) = 1 - \\frac{\\omega_0^2}{\\omega_0^2-\\omega^2 +i\\omega\\Gamma} + \\epsilon,$$ \n",
"where, $\\epsilon$ is white noise. \n",
"\n",
"Our goal is to discover the underlying law, namely the Lorentz model, by using neural networks."
]
},
{
"cell_type": "code",
"execution_count": 51,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(-13, 13)"
]
},
"execution_count": 51,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=[8,4] )\n",
"Ntrain = 128\n",
"w2 = np.linspace(0,2, Ntrain)\n",
"sigNoise = 1\n",
"e2_clean = Lorentz(w2) \n",
"e2 = e2_clean + np.random.normal(loc=0, scale= sigNoise, size=w2.shape)\n",
"\n",
"\n",
"\n",
"wTest2 = np.linspace(0.01,1.95, 64)\n",
"eTest2 = Lorentz(wTest) + np.random.normal(loc=0, scale= sigNoise, size=wTest2.shape)\n",
"\n",
"plt.plot(w2,e2,'ob',label='Train')\n",
"plt.plot(wTest2,eTest2,'or',label='Test')\n",
"plt.legend()\n",
"plt.xlabel('$\\omega$')\n",
"plt.ylabel('$\\epsilon$')\n",
"plt.ylim([-13,13])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Discover the underlying function"
]
},
{
"cell_type": "code",
"execution_count": 63,
"metadata": {},
"outputs": [],
"source": [
"n_neurons = 50\n",
"\n",
"model_2 = models.Sequential(name='noiseLorentzModel')\n",
"# first hidden layer \n",
"model_2.add(layers.Dense(n_neurons, activation='tanh', input_shape=(1,)))\n",
"# second hidden layer \n",
"model_2.add(layers.Dense(n_neurons, activation='tanh'))\n",
"# output layer, one neuron \n",
"model_2.add(layers.Dense(1, activation='linear'))\n",
"# model_t.summary()"
]
},
{
"cell_type": "code",
"execution_count": 64,
"metadata": {},
"outputs": [],
"source": [
"sgd = optimizers.SGD(lr=0.01,momentum=0.9) \n",
"model_2.compile(loss='MSE',optimizer=sgd) \n",
"history_2 = model_2.fit(w2, e2, validation_data=(wTest2,eTest2), epochs=800, batch_size=32, verbose=0)"
]
},
{
"cell_type": "code",
"execution_count": 65,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 65,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=[15,6])\n",
"plt.subplot(1,2,1)\n",
"plt.loglog(history_2.history['loss'],'b',label='train')\n",
"plt.loglog(history_2.history['val_loss'],'r', label='val')\n",
"plt.legend(loc='upper right')\n",
"\n",
"plt.title('Model loss')\n",
"plt.ylabel('Loss')\n",
"plt.xlabel('Epoch')\n",
"\n",
"plt.subplot(1,2,2)\n",
"e_hat_2 = model_2.predict(w2)\n",
"\n",
"# plot the prediction and the ground truth\n",
"plt.plot(w2,e2,'ob',label='Train')\n",
"plt.plot(wTest2,eTest2,'or',label='Test')\n",
"plt.plot(w2,e2_clean,'-k',label='Real', linewidth=2)\n",
"plt.plot(w2, e_hat_2,'g', label='FFNN' , linewidth=2,)\n",
"\n",
"plt.legend()\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Underfitting\n",
"We use the same architecture but we train less"
]
},
{
"cell_type": "code",
"execution_count": 75,
"metadata": {},
"outputs": [],
"source": [
"model_2_uf = models.Sequential(name='noiseLorentzModel_underFitting')\n",
"\n",
"# first hidden layer \n",
"model_2_uf.add(layers.Dense(n_neurons, activation='tanh', input_shape=(1,)))\n",
"# second hidden layer \n",
"model_2_uf.add(layers.Dense(n_neurons, activation='tanh'))\n",
"# output layer, one neuron \n",
"model_2_uf.add(layers.Dense(1, activation='linear'))\n",
"\n",
"sgd = optimizers.SGD(lr=0.01,momentum=0.9)\n",
"model_2_uf.compile(loss='MSE',optimizer=sgd) \n",
"history_2_uf = model_2_uf.fit(w2, e2, validation_data=(wTest2,eTest2), epochs=300, batch_size=32, verbose=0)"
]
},
{
"cell_type": "code",
"execution_count": 93,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 93,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=[15,6])\n",
"plt.subplot(1,2,1)\n",
"plt.loglog(history_2_uf.history['loss'],'b',label='train')\n",
"plt.loglog(history_2_uf.history['val_loss'],'r', label='val')\n",
"plt.legend(loc='upper right')\n",
"\n",
"plt.title('Model loss')\n",
"plt.ylabel('Loss')\n",
"plt.xlabel('Epoch')\n",
"\n",
"plt.subplot(1,2,2)\n",
"e_hat_2_uf = model_2_uf.predict(w2)\n",
"\n",
"# plot the prediction and the ground truth\n",
"plt.plot(w2,e2,'ob',label='Train')\n",
"plt.plot(wTest2,eTest2,'or',label='Test')\n",
"plt.plot(w2,e2_clean,'-k',label='Real', linewidth=2)\n",
"plt.plot(w2, e_hat_2_uf,'g', label='FFNN' , linewidth=2,)\n",
"\n",
"plt.legend()\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Overfitting\n",
"Add more neurons and train very long time. "
]
},
{
"cell_type": "code",
"execution_count": 74,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"Exception ignored in: \n",
"Traceback (most recent call last):\n",
" File \"/home/marios/anaconda3/envs/cs109a/lib/python3.7/site-packages/tensorflow_core/python/data/ops/iterator_ops.py\", line 537, in __del__\n",
" handle=self._handle, deleter=self._deleter)\n",
" File \"/home/marios/anaconda3/envs/cs109a/lib/python3.7/site-packages/tensorflow_core/python/ops/gen_dataset_ops.py\", line 1141, in delete_iterator\n",
" deleter)\n",
"KeyboardInterrupt: \n"
]
}
],
"source": [
"model_2_of = models.Sequential(name='noiseLorentzModel_overFitting')\n",
"\n",
"# first hidden layer \n",
"model_2_of.add(layers.Dense(n_neurons+100, activation='tanh', input_shape=(1,)))\n",
"# second hidden layer \n",
"model_2_of.add(layers.Dense(n_neurons+100, activation='tanh'))\n",
"# output layer, one neuron \n",
"model_2_of.add(layers.Dense(1, activation='linear'))\n",
"\n",
"sgd = optimizers.SGD(lr=0.01,momentum=0.9) \n",
"model_2_of.compile(loss='MSE',optimizer=sgd) \n",
"history_2_of = model_2_of.fit(w2, e2, validation_data=(wTest2,eTest2), epochs=5000, batch_size=32, verbose=0)"
]
},
{
"cell_type": "code",
"execution_count": 92,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 92,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=[15,6])\n",
"plt.subplot(1,2,1)\n",
"plt.loglog(history_2_of.history['loss'],'b',label='train')\n",
"plt.loglog(history_2_of.history['val_loss'],'r', label='val')\n",
"plt.legend(loc='upper right')\n",
"\n",
"plt.title('Model loss')\n",
"plt.ylabel('Loss')\n",
"plt.xlabel('Epoch')\n",
"\n",
"plt.subplot(1,2,2)\n",
"e_hat_2_of = model_2_of.predict(w2)\n",
"\n",
"# plot the prediction and the ground truth\n",
"plt.plot(w2,e2,'ob',label='Train')\n",
"plt.plot(wTest2,eTest2,'or',label='Test')\n",
"plt.plot(w2,e2_clean,'-k',label='Real', linewidth=2)\n",
"plt.plot(w2, e_hat_2_of,'g', label='FFNN' , linewidth=2,)\n",
"\n",
"plt.legend()\n"
]
},
{
"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. *Early-stopping does not change the model*. On the other hand *regularization changes the model* since we change the loss function.\n",
"\n",
" Two common regularization methods are the so-called $L_1$ and $L_2$. \n",
"- $L_1$ is trying minimize number of the 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",
"- $L_2$ is trying to minimize the value of all the parameters and have 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 parameters with small values**.\n",
"\n",
"\n",
"Warning! In the extreme limit of too large regularization coefficients both $L_1$ and $L_2$ lead to zero parameters. Hence, overusing regularization yields *underfitting*.\n",
"\n",
"**Weight decay** is another is a another common way to regularize a network. After each update (epoch), the weights are multiplied by a factor slightly less than 1. This prevents the weights from growing too large, and can be seen as gradient descent on a quadratic regularization term. "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### $L_1$ Regularizer"
]
},
{
"cell_type": "code",
"execution_count": 78,
"metadata": {},
"outputs": [],
"source": [
"kernel_weight = 0.003\n",
"bias_weight = 0.003\n",
"\n",
"model_2_of_l1 = models.Sequential(name='noiseLorentzModel_l1')\n",
"\n",
"# first hidden layer \n",
"model_2_of_l1.add(layers.Dense(n_neurons+100, activation='tanh', input_shape=(1,)))\n",
"# second hidden layer \n",
"model_2_of_l1.add(layers.Dense(n_neurons+100, activation='tanh', kernel_regularizer=tf.keras.regularizers.l1(kernel_weight), \n",
" bias_regularizer=tf.keras.regularizers.l1(bias_weight) ))\n",
"# output layer, one neuron \n",
"model_2_of_l1.add(layers.Dense(1, activation='linear'))\n",
"\n",
"sgd = optimizers.SGD(lr=0.01, momentum=0.9) \n",
"model_2_of_l1.compile(loss='MSE',optimizer=sgd) \n",
"history_2_of_l1 = model_2_of_l1.fit(w2, e2, validation_data=(wTest2,eTest2), epochs=5000, batch_size=32, verbose=0)"
]
},
{
"cell_type": "code",
"execution_count": 94,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 94,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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LFi1i1KhR0Rv2lFKLgPOAA1rroXbbJwGPATHAs1rrB7TWvwJXK6XeDGWbhG9MifFknj2EzLOHAMasnhs3wrJlMHcpbNoEqZQwlTe4+teXOfGOO7DcMZfCPuOoOPksepw9kvSJo1BHdYvwdyKECIbbbruNPn36cP311wPGw00pxZo1aygpKaG+vp558+ZxwQUXRLilQoj2ztPQvBnLp1OwEJmNsz0K4+Q8L774Ik888QR1dXWcdNJJPP7441gsFmbOnEl+fj5aa3Jzc+nevTv5+flccsklJCUl+VUR9EeoK3svAI8DL9k2KKVigCeAM4Ei4Bul1FKt9Q8hbotoAZMJRo82Xn/7m/EzcvXqNHbsyOXpHbk8+sOv5Pz0CucULmZY4Rx41TjvUGIGh7NGorNH0Xn8KI46ayQxfTKk26cQLTF7Nlj/ohg02dnw6KMed0+bNo3Zs2c3hr3XX3+dDz/8kJtuuonOnTtz6NAhxowZw+TJk1Hy/28hRAQ1OzRPFt1rn8I0Oc+WLVt4++23+fLLL4mNjSU3N5fXXnuN/v37c+jQIb7//nsAjhw5QmpqKv/+9795/PHHyc7ODlobnIU07Gmt1yilspw2nwBst1byUEq9BlwASNiLIpmZcPnl9lv6AXdRW3sX335eQuG7+VR/+S0df/6OY7Z+y6Ct72F6TQNQEpvO/q5DaBgwiE45A+k5YRBx406ClJRIfCtCCB+MHDmSAwcOsGfPHg4ePEhaWho9e/bkpptuYs2aNZhMJnbv3s3+/ftD2h1FCCG8ycyEkwrzuJ+5ZLKTnWRyB/P5MlNCXrsVpsl5PvnkE7755htycnIAqK6u5uijj+ass87ip59+4sYbb+Scc85h4sSJQb1vcyIxZq83sMvucxFwolKqKzAfGKmUmqO1drtaulIqF8gFyJTxYa1OQgKMOj2NUadPACYAUFoKG76tZP+KzdR/9S3JP31Ll/0/0n//G3T9/DA8CnUqnsIBZxJz8UX0+eNkYo7qGtlvRIjWrJkKXChNmTKFN998k3379jFt2jTy8vI4ePAgGzduJC4ujqysLGpqaiLSNiGEsHnlnDxGPpVLB4xKThaFPEMu350DIIGvXQrT5Dxaa6666iruu+8+l32bN2/mgw8+YMGCBSxZsoSFCxcG9d6eRCLsuevfo7XWxcAsbydrrRcCCwFycnJ0kNsmQiAlBU6Y0AEmjMW2eqDWxh9TvvzsELs/2kLHlcs45eclZM17n4Z5Jr42jWZ1/ES+TzmFS86v4uzsvZiqKmDqVMjKiuj3I0R7NW3aNK699loOHTrE6tWref311znqqKOIi4tj5cqVFLp7kAohRJidsnwu4NhlrwNV1u0S9tql+fMdx+xBSCbnOeOMM5gyZQo33ngj6enpFBcXU1lZSVJSEomJiUydOpW+ffsya5YReTp16kR5eXlQ2+AsEmGvCDja7nMGsCcC7RARpBT06QN9ZqbDzPHAeA4eeIiPntlI7AfL6P/rCm7ZNx/Tfgs823SenjMHdfHFcOutxhgjIUTYDBkyhPLycnr37k3Pnj2ZPn06559/Pjk5OWRnZzNo0KBIN1EIIVy65pUmwNzTYdaGQoZ6OEW0cbZxeSGenGfYsGHcfffdnHHGGVgsFuLi4nj66aeJiYnh6quvRmuNUop//OMfAMycOZNrrrkmpBO0KK1DWxyzjtl7zzYbp1IqFvgZOB3YDXwDXKa1/p+/187JydEbNmwIXmNF63LkCHrjt6z4JpXbH+1B8f56bkt+nCvr/kOyuZz6qZcR99DfZbkH0S78+OOPDB48ONLNCAt336tSaqPWOidCTYpK8owU7VZWlkOXvb+fAnecAefvTGLpc1WezxNRpT09F+35+4w0hbIxSqnFwDpgoFKqSCl1tdbaDPwB+Aj4EXg9kKAn2oHUVNTpv2Hi7aNYs70Xtz3Rh/UXPci4rJ3MYy7mN97C3P9Y6v7vj2Cd3UgIIYQQ7dz8+UYXPatP+xlfV/bR1DfUR6hRQkRGSMOe1vpSrXVPrXWc1jpDa/2cdftyrfWxWuv+WmtZyVJ41bEjXH89vPQSfLMtlbM3zOP/xv1EnvkS9MKFMHw4e3odz+7f/oH6p56F3bsj3WQhhBBCRML06bBwIfTpQ00sfJFpTBdRoWtYX7Q+wo0TIrxCGvaECJXjj4eXVmUycN2L/OOPu/nX0Y/wy95kOr3zEnHXX4vl6EwqJpwHH39szAYj2p6GBqisjHQrhBBCtEbTp0NBAV/+/Ck1sU2/B6z4dUUEGyVE+EnYE1FtzBi4a0E6N++czbCStax6+wh3T/2Bh0y3UbbqWzjrLCqOHwdr10a6qSLYrr3WKPm2I6EeY90atIfvUQgRPp/++qnx5oDxRcKeaG8k7Ik2IzUVJl9o4t7XB/P73ffz5J93cHPCE5R9tx1OO42N3c5i9ZR/0/D3f8gYv7bg+ecj3YKwSkxMpLi4uE2HIa01xcXFJCYmRropQog24pMdnxhvVgMN8PXurzlScySibRIinCKx9IIQIde9O8x7MIEjc6/n2QVX0vX1p7hw699JW/IxLIH6v81jxyPvMuD/foNyt/KjaDv27IHEROjSJXjXfOQRuPlmKCuDTp2Cd91mZGRkUFRUxMGDB8Nyv0hJTEwkIyMj0s0QQrQBpTWlbNi9ARqAbcAusGRZ+GzHZ/xu8O8i3TwhwkLCnmjTUlPhz3clw123oKtv4J2Xy7jvjmpeKD6PY687mzde+gdTV92Aio+LdFNFqPTuDbGxUB/EGdgef9z4euBA2MJeXFwcffv2Dcu9hBCiLVhduBoLFmOhrzrgFyALVvyyQsKeCIqYmBiGDRuG2Wymb9++vPzyy6SmpgZ0raysLDZs2EB6enpQ2yjdOEW7oZISuTD3KNbt6UPcF6v5tc9vuHjdTRzqOZSGeffD5s1gNmM2Q0VFpFvbdnz8MSjlsORR+JnNEby5EEKISPho20fGm1/h8ssvh1+NjzJuTwRLUlIS+fn5bNmyhS5duvDEE09EukkuJOyJdic+Hgad1IVBvy5nwRlL2X64CzF3zoURI6jvlMZ9Gf/h2GOhpCTSLY0iGzbAEfdjIF580fj6+edhbI8QQoh2b9mWZQAMjB/IlVdeCXsgpi6GX0p+4deSXyPbONHmjB07lt12S389+OCDjB49muHDh3P33Xc3br/wwgs5/vjjGTJkCAsXLgx5u6Iy7CmlzldKLSwtLY10U0QUUybFHz46n/1vr+P6cwu5Ku5lVtWM4d79s7h3by7vXvIq/PKLLN3gjdYwejRMmuR2d3y88bWuLoxtEkII0a4drj7MrtpdUA/Xnn0to0ePxqRMWH6xALCqYFVkGyiCSikVkpevGhoa+PTTT5k8eTIAH3/8Mdu2bePrr78mPz+fjRs3smbNGgAWLVrExo0b2bBhAwsWLKC4uDgk/yY2URn2tNbLtNa5KSkpkW6KiHImE1x4ITz5XiYLDs/A9OEH1F09i6vVc1y5YjoccwyceaZ0A2xOQ4Px9auv3O6Osw6HDGjInMUCP/7o+/FlZeEJ5/IHABEkSqmBSql8u1eZUmq20zHjlVKldsfcFan2ChEtdh7cabwph+nTptOpUyeGDh2K3mn8/P6qyP0zSwh/VFdXk52dTdeuXTl8+DBnnnkmYIS9jz/+mJEjRzJq1Ci2bt3Ktm3bAFiwYAEjRoxgzJgx7Nq1q3F7qERl2BMiFDp2hNPPiiX+2aco21vFhX03cTf3wKefYrlvfqSbF3nl5XD4sOt2i6XZ01pU2XvwQTjuOPj2W+/HFhVBSooxU6YQUUJr/ZPWOltrnQ0cD1QBb7s5dK3tOK3138LbSiGiT9H+IgDiTHH06NEDgDFjxoCxmfW710eqaSIEtNYheXljG7NXWFhIXV1d45g9rTVz5swhPz+f/Px8tm/fztVXX82qVav45JNPWLduHZs2bWLkyJHU1NSE9N9Gwp4QbqR2T+DVLcPZl3s3L3E5+r77qPnXk+27opOZCV27um4PZdhbb30Y+zK7i+2YN98M4EZ+kvU6RGicDvyitY7kdEZCtAmlFcZQn1jdNPH82LFjYS8ordhyYAsVdTIbmwiOlJQUFixYwEMPPUR9fT1nnXUWixYtosI649/u3bs5cOAApaWlpKWlkZyczNatW1m/PvR/dJCwJ4QHycnwn/9A7cNP8JE+i8RbbuDImLOwPLYAHn7Ya8hpczxMwNLYjdODZKrIpLBlY/aaC9m2fbGxPrVHiFZsGrDYw76xSqlNSqkPlFJDwtkoIaJRaaU17NmtMjZmzBgwQ+yhWCzawsY9GyPVPNEGjRw5khEjRvDaa68xceJELrvsMsaOHcuwYcOYMmUK5eXlTJo0CbPZzPDhw7nzzjuN/02GmKyzJ4QX197ciRVDlnHbbx/n1q/vxfS1dcpmiwX+8pfINq418BJ6r3znQuaxgvvqA6iKWitopaXgdYRuTIzxNRzjK9tzhVeEhFIqHpgMzHGz+1ugj9a6Qil1DvAOMMDDdXKBXIDMzMwQtVaI1q+0ygh7cTSto3vssceSlpZGyY4S6Abri9YzLmtcpJoo2oAKp7W6li1b1vj+xhtv5MYbb3Q554MPPnB7rYKCgqC2zUYqe0L44MyzTMzZ8yeWP7WToalFvBUzBfNtd1D1x9vcj2NrT7xU0o7ZYYTj+trAK6FXXaW9L4VhC3vBqOzt3GkEzbfeav446c4pguds4Fut9X7nHVrrMq11hfX9ciBOKeV21V2t9UKtdY7WOqdbt26hbbEQrVhZVRlgjNmzMZlMnHjiicYi68BXu2WSFtH2SdgTwkepqXD5rA68911vVk5byLvqQuIff5iqMydDbW2kmxc5Xip72haIAvk3sp67hCkee5E2CmbY++4746ttkUCrujqYMwcsUtgTwXcpHrpwKqV6KOsc4EqpEzCe3aGdq1uIKFdRY1Rc4k3xDttHjRrVNElL0XqfJuEQIppJ2BPCT1lZ8O9X0uj1+RvM6vQqyd9+QUX3fuibbjb6G7Y3XsJVQ4zxoFV1AYQ9+4dwhZeB9MEMe+7uDzz3HDzwAE1VRvklQQSBUioZOBN4y27bLKXULOvHKcAWpdQmYAEwTctvqEI0yxb2EkwJDtuHDx8OhyHOHMfeir0UlRVFonlChI2EPSECNHYs3PfTxdyf/Toflo5FP/oo9aPHep7IpK3yUtlrDHv1LVtV3WNYtP7O24AR9ooPBiHseeieaZtkRmvpvimCR2tdpbXuqrUutdv2tNb6aev7x7XWQ7TWI7TWY7TWX0autUJEh8raSgASYxMdtg8fPhw0xOwznhnri2QJBtG2SdgTogV69oQ5307l0FNvMjnhY/S27WwfdiE3zTzSfoo+3ip7scZfVQOq7NmHLi/3MStjXEb5oZaFSgce/yO2l/+4QggRnTyFvQEDBpCQkEDNdmNtMxm3J9o6CXtCtJBSMGsWzFt/BrOSXqRP0Rfc8cIADv7mEvj440g3L+hcht55qexZrGGvpeMalW7+PqY446+0CQRhcVIvE68k1pUbb1q0noQQQohQqaqrAlzDXmxsLEOHDm0ctydhT7R1EvaECJLsbLhx3aV8ef9qVidOIuaL1VjOn8yhzXsi3bSg+vlnpw1eK3tGN05Tfcsqe9rc/H20ddaUZKrsNoamAtex5hAAlqcXhuT6QgghWqaq3ngWJMcnu+wbPnx444ycG/ZsoL6hPpxNE21ITEwM2dnZja+CggJWrVpFSkpK47YzzjgDgHvuuYfk5GQOHDjQeH7Hjh0b3yuluOWWWxo/P/TQQ9xzzz0tbmNUhj2l1PlKqYWl7XEyDNGqjRgB4+acRP2ilxnT8CWWOjMbx95A3Y+/RLppoeOtshdn7cYZSNjz4z42cdg9tF94oWX39BIWf9xsvddHHxnBtL2N1xRCiFaqxmz08ugQ38Fl3/Dhw6EaUswp1JhryN+XH+7miTYiKSmJ/Pz8xldWVhYAp556auO2Tz75pPH49PR0Hn74YbfXSkhI4K233uLQoUNBbWNUhj2t9TKtdW5KitdlloWIiEsvhRfW9OOzE27nzKp3YdRI+PTTSDcrKFx6OHqp7FlibbNxtqzLo8fKnlMgcwh7W7cGdjMf189r/GW4j+IAACAASURBVJbmzze+bt4c2P2EEEIEVWPYS3ANeyNGjAAgbp8x1vuLXV+Er2GiXbvqqqv473//y2E3azTHxsaSm5vLI488EtR7xgb1akKIRiefDHr9PH436hrmbT6fwWdNwvTf1+CiiyLdtODyOmavBd047XjtxmnNfHGYW3QffzSut2cLhz5WH4UQQoRWbYPxzOmQ6Br2hg0bBkDZljLIMMLe7DGzw9o+EVzq3tDMkq3vbr6HT3V1NdnZ2QD07duXt99+G4C1a9c2bp86dSpz584FjG6bV111FY899hj33nuvy/VuuOEGhg8fzq233hq070HCnhAhpBQ8uTyL305Yy6M/n8Po6ZcT07UrjB8f6aYFj48TtLR0zJ7FHIEg5VQ1dCn42dKeyeT2eCGEEJFhC3sdEzu67EtPT6dXr17s2W6Mqf9i5xdorVE+9uoQwsbWjdPZqaeeynvvvef2nD/96U9kZ2c7jM+z6dy5M1dccQULFiwgKSkpKG2UsCdEiPXsCcvWpjLtN+/w5JbTGPCb02HePEy339YUEqKIv904WzRBix1LfQDr523bFtjNPDzwnbOclsqeEEK0SnUWo59956TObvePGDGCPR/uoWNMR/ZW7KXgSAF90/qGs4kiiLxV4FqT1NRULrvsMp588km3+2fPns2oUaOYOXNmUO4Xfb9pChGFunWDJWuP4rbffMN/9cWY5t7BkQkXQn0UzgDmHGi8Vfasi6qbzC0Me94qe+6qapWVLbqn8zUTKw6hsZshVEtlTwghWqN66/jtTkmd3O63La7e09wTkHF7Irxuvvlm/vOf/2A2uw496dKlCxdffDHPPfdcUO4lYU+IMElNhbc/6UTNc68yt8OjpK5ZRuVl14Kb/6O3ZsriVGHzcVH1mFCN2QtFwPJQ2Ustdj+rqkVLZU8IIVoTs3X8dkoH95P5lZcPB2Dbp8YkLS98KmFPhE96ejq//e1vqfWwBvEtt9wStFk5JewJEUZKwcyrFNduuZH7Yu+hw5svYklIROfkQHl5pJvnE+ewpxuaDziN3ThbuI6Rt26cbjNfkMdfdC9wXHy3zvoz+qefjfsU7PAteGotuVAIIUKpubCXlweLFhkzcrKzBIDPtn9BXl7YmifaiIqKCpdt48ePdzte75577uHPf/5z4+d//etfTT2EnK7VvXt3qqqq2u86e0JEu6ws6P/i3fwx7mlMlgbUxo3w6quRbpZPXMKel1kyLTHGX02VOYClF+wXVfcSKkPCKUH2LFjn8Lmm2thfXmm0s6zMt8vOng0xMS1vnhBCCPcalPFsSuuY1rgtL894/s6YATU1xwLxsGcvNMShu21hzr2yVqpoeyTsCREhl10GD5T8Hzkj6tnEcErn/hOCvJBmKPhb2bOYjLAXE+LKnluBdvH0UBFUOF7PZcIWi2/3W7AgoFYJIYTwgdYai8l4NqV0NCp7eXmQmwuFhbaj4oDhYAb2DACl2aXXR6K5QoSUhD0hIqhDB3juxVjm93yCxOIiGjIyYdKkVt3HTzU4jjH0tbJnaghtZc9t0Aok7M2cCU884d/51na24v9sQgjRbtTU1DTON98xwVh6Ye5cqKpyPnK08WVXOgApQ2Xcnmh7JOwJEWEjRsCzW0/h/G5fsb7uePjoIw7Nnmc8mVrh7I4uE7R4STgNtrBnblllL2wTtLzwArz/vqdWOHyy5cvGSNoK/3sJIUR7U1lZ2Rj2EmMTAdi5092ROQB03WmstzcyZR4V6Vn8KT0Pk8no8inj+Fo33c6eu4F8vxL2hGgFOneGf6/N5rHzVnCIrqT/+264/374+edIN82F/2P2jAlaYgKp7NnfJ5Axe0GeoEU5L7Ju/ayt92lnzxwhhGiVqqqqGsNeUpyxMHVmprsjjcpe8s7tAKw7GmJLC/l7cS7TdB6FhUbXTwl8rVNiYiLFxcXtJvBprSkuLiYxMdGv82RRdSFaiYED4fWliSy76wM63Hcbv2Elte+tIGHgwEg3zYHfs3GajB8zEZmNs6VcLqrdfrJFynbyvBFCiFbNXWVv/nwjuNl35UxKGgzVil1VmiH74H89YH0GjC+o4n7mspjpVFUZHW2mT4/ANyKalZGRQVFREQcPHox0U8ImMTGRjIwMv86RsCdEKzPpztFcU/gZGS8dS6d7F5A+YhhxJ58ASUmRbprBeV09+26cy5fDuefCnj3Qs6fDYS2u7HmpILo9B7sulgHYsxd62X12ruw59+P0dYIWIYQQoeMu7NnC2ty5RpfOzEyYPz+Wp2ZovgCO3WGEvc/6wvgCyKSp36f7LqAi0uLi4ujbt2+km9HqSTdOIVqZuDhj2NjTOc/RoXwfcWeOhyuvjHCr7DQ0043TNrHJt9/aHWB8STBX+n+vFk7Qsnu3/7e0V7DD+SbuK3syQYsQQrQepeWlEANoiLPOCA1G4CsoMH5WFxQYnwepTgAkW3/ef2bNDjtp6vfpvguoENEhKsOeUup8pdTC0tLSSDdFiJBQCh5cfyp3XvoL73ABvP46+s67It0sAHS902yc3sbSWQNS17o9/t/L/r2Hyl5ZqedqWlVlcCttnpZekG6cQgjRepRWGL8fxlhiUF7Gbv+gZwBQUggmC3zVG/bHJ3EH8wFITja6gAoRraIy7Gmtl2mtc1NSUiLdFCFCJiYGHnyhG+9cvJi3+C1q3n3Gatz5+ZFtmHM3TvvPzaSdlPpiv29VtMvu0h5CZbNz2LQwfbmEO88HGvt97MZ5HU/yI4MkHAohRAiUVJQAEKNjvB5b2OtGADbWxnD8XjDHwCWZf2Ax0+nTBxYulPF6IrpFZdgTor2Ij4fnX0ti6W9f4Duy4bHHqL7upsj2F3QKe6bVK306Lc5S4/etqu1O8TZmLzTBqfmLNoZBP2fjfJIbGMRPLWmYEEIID0orrZU9vIe9Bx4YAHRmPw18s+MGAL4YoHjllaaunkJEMwl7QrRySsGjizpzyTHf8hC3kLR+lVH2u+mmiLTHOXTF//vhpg9uusvYpkSODyDs2U+v4insue2h0ziaPshLLziFP+cJW2SCFiGEiLyy6jIA4ojzciRcfrmJ44473viwoxsAR5/2mYQ80WZI2BMiCqSmwudfKD4ePJtKko2Njz4KBw6EvzHO3TjtuStt2SZoCSjs2V3GQzdO5W7AXJDKfC6zbzqHu8abyzp7QgjRWpRXlQMQp7yHPYDzzjPW27v10iriTHEU1n1LSXVJyNonRDhJ2BMiShx1FPz3iwxyuhYwgc+MjQ8+GP6EYbaboMWPSZISdLXft9J2ZbteX73t4SA3378pOD/atFPZ0GP4kxlahBCi1bBV9uJN8T4dn5OTA8CmbzYxJmMMFm1hTeGakLVPiHCSsCdEFElLg+XfdGMVE1jBGfDQQ5RcOTu8jbCv7F19tffjW9CN0z5cZa19GbZs8e1EWxuDHr6cunG6LKvuxsGDsGCBBEEhhAiTiuoKwPewN3bsWADWrVvH+D7jAfj4l49D0jYhwk3CnhBRpm9fqK2FN85/mfc5h7SXFlDbsw+88kp4GmAf9pwWsnNed85egvY/7LnEo/37XY5xN2ZP19X7fS9fOFf2XMbsuctzM2bAjTfCpk0haZMQQghHFbVG2EuITfDp+IyMDPr3709ZWRl9G4yF9pZvX9445lyIaCZhT4goFB8PC5f2YN2f32IJvyNh3070X/8Khw+H/N4OE6U4Jy3bc9HNAzLR1o1Ta1iyxLE7qEfeJ1ixNcH+ljt/9eXaQdRcN07bf5P60ARQIYQQjiprKwFIikny+Zxx48YBcDD/IOnJ6RQcKWDroa0haZ8Q4SRhT4gods/fE9h81xLOZymWXbvRffrAF1+E9J7avrLny9g4awBKoM5YMmLJEpgyBf75zyA3rCloNdQaYa+lf5PVXsOmYzdO+SOwEEJEXlVdFQCJcYk+nzN+/HgA1qxew6RjJgGwfNvyoLdNiHCTsCdEFIuNhbvugrjfns+5lmWoigo45RTKT7+QhsKikNxT2VfknMKeu6zjsK22FvbtM97v2eP1Xt7DVtO4OfugZamtb9wbFm6qi77wdrzZDJ9/HliThBCivaquN3qSJMcl+3yOrbK3du1azu5/NgDvb3s/+I0TIswk7AkR5WJi4PXXIemCs7iHuwHo9Nm77J98DdTVtWwB9lGjwDpLmY3/lT279zU1TWP+Apkx08c0ZakLczdOK+d1+BwEUPa77z449VT48ssWNMoPX38N770XnnsJIUSoNIa9eN/DXmZmJv369aOsrIwelT0wKRNrd66lrLYsVM0UIiwk7AnRBsTGwtvvKIa9eQ9X8CIAvTZ/BAkJ8Je/AHDkCBQU+Hnh776DjRsBsNjKV82O2fNS26upaQqfMTF+Nga3a/y5m6DF1FDfTHuCqGlGGs/HWBt4womw1c/hH7bJR/fu9btlATnxRDj//OBec8YMeOyx4F5TCCGaU2M2JgTrkNDBr/Ns1b3vvvyOk44+CbPFzIpfVgS9fUKEk4Q9IdqQiy6CeYVX8LvsX5s2/utfsHo1T537Hll9FQc+zg/o2g1Yw5l94HJZd87NifbbLJamsBdIZa+ZSV0c1lSvD1FlzyXT+TAbp52vvgpqa6JCXh7MDvPqIEKI9i3QsGcbt7d69WrOOeYcQMbtiegnYU+INiYzE6b8pS892MvPDDA2jh/PnC+Nks3hBYEt0WCx/biwC3tHjnhYZNx+k937ulrtVzdOlzF7bsKecjMTZuPSCy2s7Lnc3+lyjd02m5mN84jv684LIYQIglpLLQAdEzv6dZ6tsrdmzRom9bdO0iJLMIgoJ2FPiDbosstg9dYeXNh/C8s4z2Hf4SrfZyezZ1Gulb36OqfKlq1qZ9e30n4tupJiS8u6cbqr7Ll7CFcZM7F1rmpZ/0fXMXiewq11Nk6La1tsSwM2O55PCCFE0NRZ6gDolNTJr/P69OlD3759KS0txbLXQkbnDPZV7GPj3o2haKYQYSFhT4g2auBA+P6neA48s5RkKlnMNABOWjkfNmzw+3pN3Th96CJpX2Wz22yu1y3qxmlbUsHLLVFVxhpLPQ//4Pc9muPci7NxJlB3Awdt7QrCjKDyR2UhhPBdvTZ6d3RO7uz3ubbq3sqVK5l87GQAlvywJHiNEyLMJOwJ0YbFxMBVVytyb0zmhrTFvJ1gBL7a6/wfRGULLcp+zJ5zJcv2eYndg9F+LJ3Fv26csfVVDp9/2OLbBC2N3TiDzDlzqRCnsGYyZNQ4iw8ZwpZIN6PVU0oVKKW+V0rlK6Vc/hqjDAuUUtuVUpuVUqMi0U4hWruGhgYalPGs8LcbJ8DEiRMBeP/995k6ZCoAb/zwhnTlFFErKsOeUup8pdTC0lIZDCOEN0rBo4/CwYMw8KuXWMOpJGz4At73b/0g25g9x66KHro1Pv+86zagod7SFPZ86MY54Pu3HT7XVjQzZs++GW66UwbCW1XOVtFrHLLn5b4u89m0g98dPuRstjAs0s2IFhO01tla6xw3+84GBlhfucBTYW2ZEFGiqqoKYo33/qyzZzNp0iRiY2NZu3YtQzoO4agOR/FLyS9s2r8pyC0VIjyiMuxprZdprXNTUlIi3RQhokZMDBw3Io6XL/uQIjLQl1zi11oMjcHHbt0+l7DiJb1YGjQWs3F+rdn/MXt1Vc1142y6d3mZjylq717IzoYi3xag91TJa64bp2r82g6SnQilC4CXtGE9kKqU6hnpRgnR2lRWVjaGvcRY/8eop6Wlcdppp9HQ0MBHH37E7wb9DoA3/vdGMJspRNhEZdgTQgRuyhXJXMMzqMpKWLTI/ws0E+i8dXOxNGiKdhqVvXeX+f/jx+2SCm7u+fp/fQxWixbBpk3wVIBFEu+TcQZlzJ5oFzTwsVJqo1Iq183+3sAuu89F1m0OlFK5SqkNSqkNBw8eDFFThWi97MNeUlxSQNe44IILAFi6dKl05RRRT8KeEO3MaafB6sRJbE47Dcvb7/hxpm3GyabKnk/9Eu22WcxNs3GWlPlf2bOYmxmzZ3frCRNC80B2reCFp1+m/H7RLpystR6F0V3zBqXUaU773f3VwOV/GVrrhVrrHK11Trdu3ULRTiFaNftunIFU9gAmTzYmZvnggw84sceJpCens+3wNr4/8H2wmilE2EjYE6KdSUqCW2+FZ0suwrTle59n5mzqxmk/44p/YcfSoFFulmfwla5zrex9953rcR2SwpOObP8mzXXjbIm2MEGL8I3Weo/16wHgbeAEp0OKgKPtPmcAe8LTOiGiR0u7cQJkZWUxfPhwKioq+HzN5wyLNbpyjrjsDbKyIC8vSI0VIgwk7AnRDt17LxSOv5IyUwr861/uD2pwrKI1BprmKntuJiix32Jp0I2fA+re6GadvWvddHjze4IWT2PxnNrodfZNd/uV7YuU54R7SqkOSqlOtvfARHCZwnQpcIV1Vs4xQKnWumULSQrRBgUj7AH07WtU9yZNepeVT0wxNh73OoWFmtxcx8CXlwdZWcYk0xIGRWsjYU+IdmrMxM68Y5mMZdVq9wfUe1i+wD7Q+DJBi1M3zsbAFEDWcztmz12zfA17LSyd2QKcm56kTW2RMXvCu+7A50qpTcDXwPta6w+VUrOUUrOsxywHfgW2A88A10emqUK0bg5j9mIDG7OXlwcffniB9dNS2DEeKo6C9J+h9zdUVcHcuU3H5uZCYaHxHCosxCUMChFJEvaEaKeGDIHvGIlp7x44cMD1AKcqmrvZOJ3DnZvCm0MCsjTYH+9/CFIWN2P2bDewX8g9SEsveGW9TVWNmy6uVlLRE95orX/VWo+wvoZoredbtz+ttX7a+l5rrW/QWvfXWg/TWvvW/1qIdqayshLijPeBVvbmzoXa2lFAL2A3WL6DzTOMndkvALBzZ9OxVY5LwjqEQSEiTcKeEO3UgAGQT7bxwd3AN/tQh934tGbG7JV5WfLAMewFwG2a9PE+FRWeTwh4BhTjPHdZ2fXIwCt8MkGLEEL4JhjdOI0gZwIutm55CfKvNN4OXQyxNWRm2h/r6RpCRJ6EPSHaqQEDYE83a9j75hvXA5wShtt19pwDjLuKmvNsnC2gGlrQjXPiRDcX9DeAefg3cbvX6VZu9noLcTJBixBC+CcYs3Haghxcaf36Khw4FvYcD0lHiB/+LvPnOx/r6RrRQcYdtl0S9oRop2Jj4ZzpafxPDcG8cq3rAR4qe46pyin8eEkv2qJbVqXysbLnNuytW+fmwOCWzNxX75q2Od+urCyotxdCiHYvGOvszZ8PyckAI4BsoARY1ljdGzjtecAIRYWFrn+YS06mMQxGAxl32LZJ2BOiHTvjDFilx6HWfWEEqepqqKw0dnoKe/aVPeX0I8SHpRdawufKnr8hzscSmvNsnC5n+Xnb999vfr903xRCCP8Eoxvn9Onw0e/z2BWTxSPkAzC2z3wOrbyU+Jh4tlSt4Jqbd1NYaByvddNjpE8fWLjQuEa0kHGHbZuEPSHasUGD4HNOIaa6Ev73P+jdGzp2NHZaPHS5tEsgBYPPdtzn7hznbpwtSTANvk3Q4vc9fDzeeT09S5h+hEp3TiGE8E15ZTnEgEIRZ4oL7CJ5eZzyYi4ZDYVMx8iOXxfmU7doMZMHTkZjoebYlxxO0doIegUF0RX0QMYdtnUS9oRox7KyYFvcEOPDjz9CSUnTTg9j9qormwKdRcU4HGMy17ncw3mdPZu0+gPw1796DpXuNFPZcxCmpRcaL+NDSa8ls3JKhU8IIXxTVmX0j48lFhXoz3i7Ulc34DygAci7805mZs80jsn5DyjHP0BGazhqK+MOhXsS9oRox2JiQA08lgZMRtiz4zyZii3svfyy5wpat11uZvV0XnrBes4lRQ8bgxrWrPG5vcpNZc9tU4KUjoZUb4A33/T5eHdj9uyrgc6/d8TWNDNDqJvjhRBCNK+8qhyAeFN84BdxSm1XWr8+f+QIZ/U/i9iy/pBaCAOXORwXreGoaYxik2gbdyg8k7AnRDvXf0giO+jL2me3OmyvrXYf9kzYjdnzKVTZrX/X4KaK10yAc7mSjyHO7yqah+umNRTD1KmeT3OejdPtbKSeb5vz6s0+NU8IIYRvKmqNP6IlmBICv4hTajsH6AH8AHz6yadM6/cHY8eJCxqPieZwNH26Mc6wTx/jj4zROO5QeCZhT4h2bvBg+IHjOHXP6w7bzfXuu3HaByntSw9Mj4uqW/lRvvK5YOfrgX6WzpwnaLFV7XxdQ8+5WZ33bnV/oBBCiIBUWHtMJMS0IOw5lbrigD/FGeP/HnroIR6/eiaJqiP0XQndv28T4Wj6dGO8ocUSneMOhWcS9oRo5wYNgpVMcNneUO+9sudvd0n7bpyNfFmR3HY7N5Wz8awCIH7dartmhWeQm9aOAdjtbRUOxwghhAidxspebAvCnptS16zHH6dDhw6sWLGCgp8KuCbnSgCufebfEo5EqyZhT4h2bvBg2Mxwl+1uu1wSQNjTjt04Xc649FIfWun5ds9jDJaPe/EZ/9rlz3G2w50/O1cG3VQKfa36NXtfyYlCCOGTqlpjYpWk2MDW2GvkVOpKy83lmmuuAYzq3h9OMLpyvrL5FYqrilt2LyFCSMKeEO3cscfCLo522d5gdkwYtmUGHCpUAVX2/G9j0wVcT47BGPO3p0g3e1xION2muX+OheRiqq/1/QRkghYhhPBXtbkaCHxB9ebMnj0bk8nEa6+9RnJ1MpOOmUS1uZonv3ky6PcSIlgk7AnRziUmwuTrMly228/GqXXg3Tg9Lb0QCHcZzhb27Hf53GWyhWP2nDW3ewg/0O/r1/y6nxBCCP/UW+qBwBdUb05WVhZTp07FbDbzyCOPcOtJtwLw6FePUl5bHvT7CREMURn2lFLnK6UWlpaWRropQrQJnXsks4pxDtvsx+yZ7Za3sw9SPoUqi1M3TnenFBcbi7m/806zlzrp5xdcttnCZ0sqjr5zf93m/h3s46Rzs7yFx1BqaIC8PP+WORRCiNauThvrvYaisgdw661GwHvyySfpZ+rHKZmncLj6sFT3RKsVlWFPa71Ma52bkpIS6aYI0Sbs3AnvcZ7DNvsqXH19U2VvHnc2HeRLZc++d6Wn7pXp6VBZCXPmNHutBHOVyzaHSqO3dg13HZvY7PEunJZa8GE8nsMxrahf5hNPwIwZ8OyzkW6JEEIET702KnvJ8clejgzMqFGjmDZtGrW1tdx1113ceZrxTHxo3UNU1lWG5J4i+PLyICsLTCbja15epFsUOlEZ9oQQwXX55VCF44PRfoIWsxksOrCgYp+jtLvZOD0d7CNbN06HKpmn63z/veNnf8OXh+NtgS5UhbpQXHf/fuPrwYPBv7YQQkSKGaMrSqgqewDz588nLi6Ol19+maPKj+LE3idyqOoQT294OmT3FO75E9psxypl/N5TWGg8XwsLITe37QY+CXtCCMaNg8yBjg9G+26c9fV46MHoS2XPh26cLdBU2QtDN07ndfbcrD3o5wWb3duKCoFCCBEVbJW9DvEdQnaPfv36cd1116G1Zs6cOY3VvX9++U+p7oVRXp4R0nwJbfbHguuvCVVVMHdu6NscCRL2hBAA7E0+pumDxeIwQYvZ7D6W+DLmzKEbp7cJWlpQ2bP36afhGQtXHtfF4bPbbp0S2IQQIiy01jQo45mQnBCabpw2f/3rX+ncuTMffvghsTtiyemVw4HKAzy87uGQ3lc0mTvXCGn2PIU2d8c627kzeG1rTSTsCSEA2JJ6CpW2rpxms8uYPbfVKz/D3uBVwR/AHuNmzF64FjDf0WGIw2d/s2okJ2gRQoi2xmw2Q6zxPjkutGGvW7du3HHHHQBcd911zDttHgD/+OIf7CnfE9J7C4OncOZuuy9BLjOzZe1prSTsCSEAUCbFvdxtfKivd6nsuQ9Q/s3G2e+7txy6dQaT37OEBuOeLt06/SNRTwghgqe2trYx7IVi6QVwHCP25JM3k5k5nB07drDimRVcOOhCquqrOHbWnQFP/NGeJg5pKU/hzN12b0EuORnmz295m1ojCXtCCMB4sJhtT0mz2SHs1de7OeGBBzhp9QNer+uS7UIV9rT/Ya/B2gO00kvXjiZell7w1ks1wD6dUgAUQgjv6urqQhr2nMeI7dwZx/79z6GUiUceeYTMrTOgIZbKAc+ju+f7PfGHP2PQhBHOkp0KuJ5Cm7tjbePi+/SBhQth+vTQtDPSJOwJIQAj7NUTZ3xw6sbptrLnZZkEG9ew19yxmqee8t6v3sPZje98DXtbthhfP/0kwDTVwhQm3TiFECJ4Qh323I37qq3NoVOnm7BYLDw1/2/w9XWgNEyaDWi/Jv7wZwyaMMLZwoVGWFOq+dDm7tiXXzYe4wUFbTfogYQ9IYSVUnaVvfJyl8qeSQUWTOy7bZpjE5qNYZUVmuuvB+uatQHzNex98qnxZ73t23y8rodw1nzFruUztIRyVk7Jm0KItsK+G2dSbPCXXti5Ey4ljx1k0YCJHWRxKXmUlf2N/v37U1+/GdbUQGU6ZK2Gkc83nufr9f3ZHqi21FV0+nQjrFks3kObP8e2JRL2hBAA/OMfUIkxVbVe8pbLmL24uAAvrGG3KQOAb077c/OVPesti4sDvJeVr2GvpMT4anad0NNHTmP2oig4ybIOQoi2pq6uDlsHlVBU9v7QJY9nyCWLQkxosijkGXL5Y9e3Wbx4MRAH1c/Ah5cZJ0y8BTru9XniD3/GoAVKuoq2PxL2hBAADB8OOQ9MBaDqUJXrbJwBJhmLBpTCgsISwh854ZigRTsnJO14P693dUlYzZ8R01DHeSzzuX1CCNGehbob5/3MpQOO/Sw7UMX9zGX06NFcfvlDxsbvF8HP4yDpCDHn/cnniT/8GYMWKOkq6r9or4RK2BNCNErtmUQ1idQVl6EbHCt7Ac8dqW1BSDlcM9gCmaAl0ONtnPOv1sFdZ++SLXeyjMkcL0ZpnwAAIABJREFUteWzwC8ihBDtRKhn4+x42H1/Stv2F1/8I6NHXwRU0Pn9n0muVTQMepOkhUc1nxCsaWL65Sb2J2Xxx655XsegBSpcXUXbirZQCZWwJ4RolJQEpaSgj5R5n43TR7qxsmdCW7SXpRcCr8jZn+lreAt0dsymC/iwzmAz9/BWLU2vKgQg8cg+/9olhBDtkH1lLyku+GP2vPWzVEqxYsVzDOzZk7LSvWRaJ/+6dsxBdt1yjfuE4JQmOhYXsqA6F8vLeSEZVxaOrqJtSVuohErYE0I0SkqCMjqjS8t8W1TdB9pi9F60YDJGRYdhXJuvbQ1Wd8/f8k6AZzZ/fy0/ooUQwmeh7sbpSz/LlJQUlitFN2DrBsj4GQ4nw6Xn1mD+6x2u1wxzmghHV9G2pC1UQuU3CSFEI1vYo6zUZYIWhyqWL7N7vPoqfPGFf904WzDDSTjG7DlX4pzv4635nsb8CSGEaLnly5u6cV46NTH4Xe18nOu/3969vAckaSh6BzqWwReZcE8/NwkhzGnCn+UKRNuohErYE0I0SkqCw3Qh9vBBh2BWXxdAKpk+HU45xRqAjG6cFovmmOULgtZee4GM2WtpN06/14t32e/jv2uYpvnM4RvOZnlY7iWEEMGUlwePPtpU2dtXlBiasVW+zN+fmckJwGtATBVULAFlgftPhfd+fs/lWLdCmCba6xIEgWgLlVAJe0KIRklJUEQG8Yd2k/zsY43bzfU68G6cALZunCGcoMVeqCp7LvfxKYQ1Eyi9nO9SCWyhtWvh9793vK39+284geWcG9R7CiFEOMydC7W1TWEPc0LkxlZZE8JkYDEQUwh6JWgF096cRv6+fJdjHURbmmjD2kIlVMKeEKJRUhLs4mgSS/YybNvbjdvN9TrgpReMtResVTRL82Ev4HvgGPDO5gOPx2kN991njIV3d64/Ql1wC/ZSeBMmwEsvQUODrLMnhGhbjF6PtRBj3dCQYLc9zOwSwlSl+G96OjFfmmATVNZXct6r57G7bLfLsVGbJpx4W6rAef/n17futQ2ivRIqYU8I0Sgx0ajsOYcuc50l4FqZcZ5CK2M2Tl+89prreHXf7mMYxXcej9u+He66Cy64IIDKmZcxe0IIISLD6PVYZxf24uy2R4BdQrjo4EGWLHmLhI8ToBB2l+/mnFfOoaS6xOXYqEwTdrwtVeC8/6TCPEY+FeVrG7RyEvaEEI06dDDCnrOWdOMEGrtxel9nr+kec+b4ewvf2mcrLm7a5N/1Dc3fwxL0WpztthIqhRCiOfPnQ3x8XdNvtg3xrao35AUXXMDKFStJ+zgNimHzwc2Me24cR2qORLppQWGr1s2Y0fzkos6Tj7pbqD7q1jZo5STsCSEadesGZck9XbY31FsCDntK+96N015xcUC380pbNOexDEUgy0A4hjmXDObmevbVQ+dKotLN/3u0eB1AIYRoJ6ZPh0svberGmdErrtX0hrQFoZNPHkuS/or09/vAYfi++HtO+PcJ0RX43PTRtK/WeWLrTuvcrTaTNrC2QSsnYU8I4eDSB0a4bDPXBT6xisa67IIf3TgD4et4v7SpZ7CMyVzPkwHcxDl8Od0zRBW4YF1WCoRCiLZsxIimbpw/bolvNUHPvtvinj0DqNybz9CNZ0AJbKvaxsD7B/LroV8j3dRGHsfceeij+dWNeV6HXti60zp3q91JG1jboJWTsCeEcNCxk2s1qaHWHHBSOHPvy/Su3dG0qHozSo/4cI8jnv4C6lv7uv/vMwCOZpdPxzvewjnc+X8Jv84PUWFPJmdpPZRSRyulViqlflRK/U8pdaObY8YrpUqVUvnW112RaKsQrV1tbVNlLz4mPrKNsXK3Znp1dSpluz7ith63QTEciDnAwAcH8t/V/3U4zttEJ6HQ7Jg7DwvA31zcfJdL++60zpOP3sF8KpHZSENJwp4QwkHHjq7bdE1tyycjUYrOVXubPaS+3ofrlJe3rB32Whh6nP9NLNrLBaWyJlyZgVu01oOBMcANSqnj3By3VmudbX39LbxNFCI62Ie9OFNcZBtj5ak34q5dJh64/QGWX7ScxAOJmJPNTPtoGlPvmkp1dbXXiU4C5iVBeshzxhA6D9+Mx66YQNeuxkzfl19u3A4cJx/9ss90vrsuOLORBjMcRyJoh4qEPSGEg44dIZf/OGzTtXUtvq7GxOiid5o9xqdAGYKyVLiWXnAdgxf59CddOyNLa71Xa/2t9X058CPQO7KtEiI61dTXAGDChGolXRi8rZl+9rizKbq/iGNqjoEEeDPmTXpc1YOb/vJusxOdBMSHBOkpnO7c6fmbqeqa6XapwOuug+pqYwy+/e2gafLR+fNhxvLpmHYWkJVpIW9+QcBBL1jhOGRBO0KiMuwppc5XSi0sLS2NdFOEaHM6doRnyHXYZqvstWS2SYvy78eNxxBSU+N2c0at/+MdtLdKnI2HkmNcnGMj/Q1OXscZhjCItZLfg4QdpVQWMBL4ys3usUqpTUqpD5RSQ5q5Rq5SaoNSasPBgwdD1FIhWqeqWiMdxTSuvxBZeXlQUeG63bmXYteUrvx8/8/86dg/oSyKskFlHLzgQug1Fvje4dwWzVvSbNnO0Gw49bAA/P+zd97xbVV3/38fySsesZ04iTOwDWElEMIIIwHKDCWhNLRQKHVomCll9+GBUtKnjGKg5ddSNk1aIBBD2ZQRArQQUghQ9gozw05CppM48ZIt6fz+uJa17pWutmR/36+XXpLuPfecI1mSz+d8V+ltDaalAhcujDxcMkWVjZeWkb6ygZwUe1rr57TWs8vLyzM9FUHod5i6cbq6UVrjJi/ufp14YmvvtfDpvOaauOcQN7/8Ze+DYPW1z4TgZrHW7bOr5ZJVzy/tVjy3O80D5i5KqVLgSeAyrfX2kNMfALVa64nAHYCliVxrPVdrPUlrPWnYsGGpm7AgZCE+y142iD2fkAnNLF1SEuzW6BM2SiluO/023jrnLYaqoVANnPs2HL8PFNYDy4EE85ZENNsZWOg5Q5xGKABvViow2nDJFFU2XlpG+soGclLsCYKQOnxizx34z9LlAsCTwD/QKveGqG0CRc3PPvhf80aZsOg//XTcl0aSf1Eteykyv6XNqic+orZQSuVjCL1GrfVToee11tu11m29jxcC+UqpqjRPUxCyHp/Yy1Pxb0wmCzMhA8axULfGQEvWwTUHs+qqVRwz6JeAMiJ5L34YDtwNR/4sLrzwq/gnFc2nlIh6zt/AZgF4q+G0NoSuVamGeERV6Fin08hK6nDr2IPubLxNOYWIPUEQgvCJvY7A7Fjd3YA2MmqmiT02vWF+IklKJTB+zq7lLFSchV1nUloiqM5eFsbsCZlFGYFFfwe+0Fr/2aJNdW87lFIHYfzvTlElSkHIXbq6DbGX9uQsJtk8rARL6B5YR4dRiDxQj5QWlPKvK+/mhtr3yd8wEUqBEzTeCx7kyn/syXHTj2PRokV4Y6hd29gIl7TZy3wZg56LiJmV0EdTk/W/83hEVeBYp9PIPGZTRxMOYvcPjWjdzEFE7AmCEIRP7M1nlv+gy4jZS8SyZ4dkuSvGMGBCpM1wJRay/syhwBnA0QGlFaYrpc5XSp3f2+YU4DOl1MfA7cBPtZYPhSCE0ufGqdLoxmkReHbRkNgCz8z0yJyz98N114c8depTjB08FiqBH8Ire73CtJunsfuk3bnnnntob2+3NcU7Wuo5j7msohYvirah8We+tEOgldAMrcMFX7yiKnCsG5lDCfH7h0a1buYYIvYEQQjCt5t1GX/hHxNuAOCATx+gQm9LudhLO9p3F61kgsW6OuR4tAQ2ViFsTU0wb1748c0tRn/LlkWeXjyIVMgOtNZvaK2V1nqfgNIKC7XW92qt7+1tc6fWei+t9USt9SFa66WZnrcgZCMutxFykFbLnkXg2Y3MCbMORXNMMdMjSil+NO5HfHnplyz40QImDJtgWPqOguUnLueCNy+g6qgqzjjnDF577TVTa1/gFB+hnp1ZhRMve5euSrmC8VkJrV671skTVb6x6lTiQXfJsm5mAyL2BEEIwtH7q+DFyafDjgFg8rK/AySUoCV2UqtGfsWt3NRjxAXatSiGJmDZsiW0QeTre0MfwzjqKGPXNTRr2/bekoKffBJw0OuFa6+F9ev9xzZutFV/0EzgSVZOQRD6C66eDIg9CwFRuqU5zDp0/vnWbo1RuiPPkUf9PvV8/MuPefXnr3LynieT58yD3aDrhC4WjFrA0fOOZughecw+5Sg+++yzqH2mM+GIlWtmbW0KRFV/C7pLEBF7giBY4tIFQc/bMEnVmSIsk5ckySRVSOK1A//zn+hziWg17H0tvgz5tl7aW2/BddfBmWf6j40YAXtZZuOPPD+x8AmC0E9weTIg9iIIi1Dr0N13w0uzGlntrMODg5XUcTqNoZdFRCnFUTsfxROnPcH6/13P7VU/54DVyigmvwdsO0Ezb8JiJtw/gfKzypk2ZxpDd38MVLhrSUq1T0gc44LpjamLgwuNmZw+Paagu/5UQN2MzKcrEgQha3HllQQ930FZSscLtLA5tUXphQyqk2jZM5NeZ88Mny9oZ2fw8dWrYxtbLHqCIPQzut3GJl6+M41ir6HBcM0IdOW0EhaNjRw2fzZ4jLZ1NPXVtX2Eenvip7HR8MtsbmZoTQ0Xt7VxcYtmXSk8swc8vgu8VQddg2H74O0sYhGcvghcCjYMgw37w/rvU7jtEK7+3Z5ARVLehrA5Br4nTU0cNn82L80yCqg3NxtCs6EhCZY8k7GYPx9mzTIK/UUZzOxyX+H3XHbdDETEniAIYRx5JCxeDN2lQ4KOb2dwSscNFHt5XgvLWwzZx5LGtm2mh0PdP6PF/iVSlD6n+P3vjf+c11+f6ZkIgj0CFtDJW4UK6cYXs1fgKIjSMon4Pid2Pj8m8X0lGPF9S2vro3/szJRJLyPb4JfvGzcNfDgcDqi7COpehJ1WQZkHajZCzSJgES7gFyvhiobB7D5sd3YduitjK8dSV1HHyNKRjCwbSXVpNcNLhpPniFEuWMQxHrZwDqtWxfa9ivrVtCrWt3ChYU6Nb6rMmdN/fgJE7AmCEMasWb1ir6Qy6HiqLXuBWBVVb9vhTbozadSYPbsWOJN2sci7VBstr+UaruF6vKnOevq73xn3IvaEXGAgbO0PELo9xiZhgTONYg+Mz4mdz4pFkFydarajS6yL94WggCEba2HjHfBfAM3wnRdz/JkPsOSrJTS5mtDDNAyB7WznvXXv8d669yz6UgwvGU51aXWfAKwsqqSiqILKokoqB4U/Ll3fRIkCZ+i/mhiDBG19NRMMSMyGeMZUI2JPEIQwunuNanlFwT8RiYi9V2vP4uim+223t7LsbW/VaYwcTJzI1j7jP6FScBU3Mbj8amhvD481SJIKvAYRX0L/IWnGuIGwtT9A6OndJCzIS7PYs0tNjXklcbvBcxYKRBO8sdhOMVcT6A+q2LTqKOb/7igAduzYwZIlS3jlX6+w6OVFfLXxK6OswxCgHCiFwqpCVJnC5XSxoX0DG9o38PGGj+3N8zfGXaEbSrqhpMe4LyWfkj+Mo+SbJkq2d1JSUELhAQdTsOdeFDoLKcwrDLq//sFCOvYoAHcheArBXUiHp5DLby9k7BGFFDgLyJ9YTd6adeR5Cb6NGk1e51byHHnkOfJwOpzkOfJwqOB0JYn+SXIBEXuCIIThE3v5IWEPW6kMb2yTb4ZNiUnsWVn2VCbcOPuIUlQ9CitXBj8v3byq7/El3G48aG3tE3tRS0IkQOXWFTzF5XzR8zAwKGXjCEIqSKoxbiBs7Q8QfJa9wrzCDM/Eglji+8ywUCabGUo7pdTQTDM1XE0Dj1AfdqmPsrIyTjjhBE444QQANm3axNKlS1m6dClvvvkm7y58F1d3b/poB1ACarBi9B6jGbPHGIbVDKN8RDmF5YV00snWzq1s7drKtq5tbO3cSntHK+3eLlx54MoDf+Lqbuj6EnbyPW+H7a/Cf181f71TzA9vACb/vffJSVZv1hr445Cwo0r3ikGtyMsvxHvOINiRB17fzYkij+7hTsbf5cCh/Denw8nWLQ7WrnHQ3eWgsMBBXa2T6hHh7QKf9x1X4cedDifjq8ZzxaFXWL2QhBGxJwhCGD29OqugABpPeoz6Z04FoIWhcfep8qLX6AtK0GIh9sysXG53dvyYRa2z5wk+n98d3R0HSLj4uxnTX7qUPXge14p/ASeatnn8caOiw9lnJ398QUiEpBrjBsLW/gChz7KXbjdOu8QS3xdCYyO809bATcwOKhjeTjGXcluQuFOKoL3JaHpy2LBhzJgxgxkzZgDgcrl4//33ef/99/nggw/48MMP+fzzz1mzdg1rXl0TdG11dTXjxo3jgPEHMG7cOMYfMJ5x48Yx/JVXcF07h/b1q2nbeTTt/3Mx7Xf/hfaW9bQXQFsBdOSDywmuYZW4rv413Z5uXB4XLrcLl8fF/Q+5aOt0gbMbnC7Ic4HTRWGJi4kHGO3cXjfubVvwtGzC7XHjLnDiHlyKuzDfOOe7uXtw40Er6HFCDxp0l3ELzkWHBtb1wLrNVm+YcecCvuqCr0x+PmLhmJ2PEbEnCEJ6+d73jPsZM2Dx4p/wj2dO46c8mpBlD2dslV4srWY63LKXn5/qqnzmhM3RZBK5XNrgVEPjxy/2cvnFC1lNUo1xiVpbhKzB7TWyFRflF2V4JhGwG98XgN+SXc9m4EbmWFrxlIKHHrKnJ61coQsLC5kyZQpTpvhNa11dXXz22Wd88MEHfbfPP/+c9evXs379el577bWgvisrK9lzzz0ZO+UIxo4dy9j8UYx9fz3jgeGE7GGqbbDw12HzO3iL+VczrsLrdXXQ1IRXgdsRcKsZg/vD94OF4TNP4f3d/+F1deFV4FXgGVTEH4rm8Oj274PyGjeHB5SXEdVeHn7Ei1d78Xg9eLU36Pba6x4aH/ayucVL1TAvp57m5ZDJ/nYjy0bG+GJiQ8SeIAhhHHCAkfRSKVi6FDwYVrn20O2vGFDO6Ja9oPYW8m11k5crZsKCuGeSOsy0zcbNAf/SLLRPtDIIcZVoiEKeuwsAhyfxeoOCkAoixeQl1RiXgLVFyC58lr2sdeOMk0BL9iPUh7loBlJTY09PxuoKXVRUxKRJk5g0aVLfMa/XS3NzM1988QXLli0Lut+6dStvvfUWb731VlhfpcAuwFgMj86dysupeewxli3bib/9bSfWrh1Jba2ThgZD2CXlq9m7E+TQUOAxbgB8uxZKhge3ve5OWNMV0kEXN/M3HuW3YV1vbIajdw452PsDppua2U/VsFEbonwz8MB/YcpcOCNNPzEi9gRBMMUnQPLzIQ9jt7SD4MQhTdRQi72t9G53dMtekMCzEDgHdS5hQWNy/RqdeKI3MiGs9EKSNVkqY/bGrvwXAAe+cydwcsrGEYR4iLYQTboxLg5ri5B9uLXxv6owv3+JPbsW61i+A4m4Qvs3YhzU1NTR0FDH5ZdP6zuvtWb9+vV89dVXLF++3H97912Wr1zJNuCT3htglDc67bSAEZw0NY1i5sydgBoGD96JmTPHcOKJI6muruabb6qprq6mtLQUZbdobCw7RBZveI3Feiesi4AfMAXU6OB6iunO/yRiTxCEiBQU+MVeZ0giDy/2XTOXLHVyYVJnFoUYlNchvJ2yaQQKwlSKt3jJ7+mM3kgQ0ky0hagY40KQOoGAX+wNyu9fSaesdEogtbWx/dnjdYU224g54wyYOTNwDoqRI0cycuRIjjzyyLAOtlx1FcvXrGFlVRWrjzuO1cOGMXduM52dq4HVGClYfI+Xsn274Zr60EPBXRUXF1NdXR12Gz58OFVVVVRVVTF06FDj/rrryL/gAns7RBZveMfQGoo7bXQRoZ6izyqbzvxPtsSeUmossEZr7VJKHQnsAzyotTavNCwIQr+hoAA2UwXAkICcWuB377SDHWEYa3bLiMQg9pI6bgTsjvLII3DIIf7nSZ9f0HsjcXVC9mFnISrGuF6kTmAffTF7BVkcsxcHZpbsQGprbdUPDyJeV2izjRjfvxRbH736eobU1zMEODDg8O23BzZyAWvxC75mYC3FxevZd18jRnDdunV0dHSwYsUKVqxYEXnSvZQXFzM0L48qt5uqQYMYuv/+VL3/PlVNTQwdOpQhQ4ZQUVFB+dlnU3HTTVR0dVEOFAIUF1N6WwNzsbGvYsMymM78T3Yte08Ck5RSuwJ/B54FHgamp2pigiBkB04nXM2NVLCNJzmZe7ig71wsYi+WtklBa3YMqaFsS/Tts3gtblYuHZZ929RVP/sZDBkCf4prVoKQXlJhVJIEmTEgdQIB8Hg8aIfxI5u12TgtiPYd8j2+9FJoaQm+Nl735aiu0BaTimaRivejF/ydL8SI6tslqE1nJ7z5pvFYa01bW1tfgpjA24YNG2hpaaGlpYXNmzezefNmWlpaaO3ooBVY4evsjTeMWxQGKUV5fj4VN9xARcWdjBtXweTJFZSXl/PppxXcfHMFFRUVDB48mLKyMsqGD6dswwbKgDKMGMUSoBnjByzd+Z/sij2v1tqtlPoR8Bet9R1KqQ9TOTFBELKDTZtgC0N54PhH2bQo+Nws5vM2k231E6vYS9ia5fWmIIguuL/L+TOBksxsuFLa/E8sNGVQyEFvJ1sCjKjZ6P4pCJA6o5IkyIwBqRMIQHd3N75/M7mUoMXud8hnyU7W5kpEV+gIk6qpqY/qUhrPRy+a9dIY2/9YKWUIq7Iydtttt6j9e71eWltb+8SfTwAGPt+2bVvfrbW1te9xp9tNZ2sr61tbY39hvvkCTjbgdI5i8OAybr21jL/9zZj//vvvz7XXXht339GwK/Z6lFKnA7PwF2TKj9BeEIR+wvr1xv20abAoROy9g9/X8NeOP/IH75WW/awjemrhQIGXcAZKrdPmntk3pIkoO4R3AhvEdK2PdL8O27S2wr33whVXgCO20hpC/yBVRiWJyYsBMYMCRm04n9jLJcterN+hWNyX7VgMTfuKMKmGhvqYRJldAr/zTU3GJmjgMiDRzR6Hw0FlZSWVlZW2xKEPrTUdHR1hAtDq+Y4dO2hra2NHUxM71q5lh9vNDqXo0Bo3XeBZx/r16/rWVmCUtUgldsXeWcD5QIPWeqVSameyM/O5IAhJ5rDD4K67/LX3rPA4CyC8BF4fTdRGHWsEG3HgwZsMl88srPFmNaW0TzXeAV0uKAzYMb/kEnjwQdh7bzjhhLDm8+cbO4RC/yXZRiXJMxIHYgYFgi17+Y7csUekyjCbkNU9wqRSKcoCxWcyfwsS6UspRUlJCSUlJYwePTq+CWC4Gbe1tbFjx46wW2VlAjWMbWBrK1ZrvUxrfYnW+hGlVCVQprW+OaUzEwQhKzjtNNi6FfbdN3K7aDXTWxhqazwPeQxlMwknDtHatvtjstwko2koq3FO6nmcUayz3T4jvPIKFBX5AyYAtm837rvNa/WdNzsN8xIyim8H/3QaWUkdHhyspI6LhjTG3JdvcdrUZHyXfIvTxti7GljU1xvFyGprjZV3bW2cVadzm1y17FlZwS4a0mgUAnc4jPsYvwiRLIZxT6r3eH29kRBGayNDZio+er4xvF7j3ufCGutbko7fFTvzcjqdlJeXM2bMGMaNG8dBBx3EMcccw0knncQRRxyRvMmYYEvsKaUWK6UGK6WGAB8D9yul/pzSmQmCkBUoBRUV0ds5ohjjvj/dfqWXE3jBdltLUmAui+ZaGu+Q8ztPje/CJGDbXfZfRl0+O8HswsChoQHOzG9kHrOpowkHmjqa+POO2FdTCS1OBzpmK+MBRnd3d9+qNpfEXkODYQ0L5Mz8RuM7lIBCSchiaDYpC5Nduj568Yq2VP+u5MImld0gi3Kt9Xbgx8D9WusDgGNTNy1BELKVvfjM9Hg0y95vfhPbOAnHqWkdkvkkd7FTbD7u/gTBJma71/X1cMfgOZQQvJrK6459NSV5RoRECHLjdOaOG6eZYfaOwXOM71AgMSqUKMY525PSKNY4a6nvmEvdnPqMiZhYRZvv98oqmUwy3GTr6oz6gtm+SWVX7OUppUYCpwLPp3A+giBkOcvYy/S4s/efbDM7mZ5PJH/HWkbxDDMszw8iPFJce3XaS8jF68YZV/scELIiKvsHjY1QVWUsasx2r0utypvEuJpKaHEqDHhy1Y0Twq1jyfhOxWCcs9zJaWxYRWmxl508q3iY+oxarWLZDAq0tlmRyO+Knf6bmsxdOuNxRU0Uu8uv64GXgOVa63eVUrsA36RuWoIg5Brr9zoGgCf4ien5WMVeqHthJOHTQUnYsW1bNXbVnl1RotMhsHJAxAkDB9+iJrS2FwTsXidJpcW0OM0kmVitCVEJtOzlmtgLIwnfKduhnBH8ELPJtTqWt8Rs3oEk+rsSrX8foeI4Uy6fdhO0PK613kdr/cve5yu01iendmqCIOQSf1y4N4te1HxcYR5onGhmfq/tvSmDwqf/kfS4vagxe8lIqGI6RgYsZN3daBR/wLqcRjZmPBWSS7RFTXMzSVNpOZFnJIMBOqIxI5Or2ThNSeJ3Kmo8XQRFl1HX6pAP/ILpjbbfkkjzS8bvSiyvP1AcZ0o8203QMkYp9bRSaqNSaoNS6kml1JjUTk0QhFyivByOP77XfdIEZ8zVFIL7iVXsqfXf4fHYHcmGSNOaMctfj9jE6THPShnQRUxEnFciQsvOtd99B8CV3BL/OELOE21RU1NDUlVa0pM9JFshZWi1lgtJIDJNLrtxhpHOnY8Iii5jrtUmH/jD5s/mpVmNtt4Sq/nV1ibndyXW1+97izMlnu2unu4HngVGAaOB53qPCYIwAHnaYW3Yb9fFpscTtez9g5/GdoHWbN+RRJfIJUuiNjnpP/+TvPGwcC/NJjfPbJqLkBIiLWqCdtWzJBtkoLa7pKoR99lJVkgZWq1lkztwevPhAAAgAElEQVRdtpKr2TgtSdd3KoKiy5hrtcUH/rDHLmUVdXhxsIo66jH/Lqd63lb9D7WoMOV7izMlnu0uv4Zpre/XWrt7bw8Aw1I4L0EQspgzCh/Didv03BZl/msXc8xegNDRKJ7hpNg6SLaHYVdX1CZDd0SI1k6ILBJV4ro5oDBb1ICxqMk2F8tQY8D/tCSe0TCMDK3WJFNpdHI1G2fGiaCMMuZabfXBbmmxtXmT6nlb9X/bbZFFZqbEs93l12al1EyllLP3NhMwCdcWBGEg4Mhz4MXcL/ND9uNL9gi/JlbLXoCoMIRfjJksvUkuqp4MkRN3H6kTWFY9u1wpG1LIIcwWNQsWwObN2SP0rFKg15AChWSyWmunmEvaGlLqUimZSqPQ2Ijr3HP9bpyvRna5HxDYdWGOoox8BsaHHjKan3GGSXfJdpe2+8GOsHmTasOoWf/RRGamxLPd5dfZGGUX1gPrgFOAs1I1KUEQsptI8XderbiOa8KO+8Se20IkhhKqi35/Q4xiT+d+6v+kJHwx7Tj8fenpCX6+vdXivQtw3fS1sBsbKeQmWeKhaUqkFOjNJKaQTNevvau1tqG1eFGsopbzmMsdLfUpjaHLmUylmaD3Q9C9ebNf7P3xTwM7oDHWIM8oX/KI3aUioNTKpcCMLDNvR/u9zMTvqd1snM1a6x9qrYdprYdrrU/CKLCeEZRSJyql5ra2tmZqCoIwoIkUquX1mosUpxMG00oF2+yNESLUfj4rdsteToo9rVnMEZyQppKmXm28r21tsV+7bq3x/j75ZDJnJAj2iZQt9GoaaCc+hRRx/Vpfz96lq3DiZWdW8QjGai2VMXRZlak029KC9n4IusHvxtnhGtgBjUkO8ozYXSoCSs0+8NEC4tJBtn32bZJIyoTkZiKIAa31c1rr2eXl5ZmagiAMaLZvtz7n9Vof38Fg2imNa8wxseb/zdXYsq4ujmAJjwfUK4xW8iERjHqE8eHqTT7asiWLYgqFAUWkTf1HqOc85rIKwwrXrGp5Y5Y9hRRp/drYaF1MOZVGhqywsGZjWtDeN90Ffsueh6yz+KSVJAd5RuwuVQGloR/4aAFxqSYbP/s2SUTsyX93QRigRHLbsxJ7nZ32+5/PmeRbJICxS9L1UQYyT/ospDG9lq++gvfes93ckdJ4QPk3IaSAgN31Zkcdp1tk5AND8O2MYYWr1auYudCeQrJap/rWd1b0+xi6bEwL2vumd4M/G6eHAfDHiECSgzwjdpeugNJMm7dT8NlPl6EwEbGXo9vmgiAkSmGh9TkrsRepMHMq0DrJYiNdlsJEx9lzTzjwwNSOEUJOussKuUnI7voYTxPzmM0dXMBK6vDgoElZC0C7xgardarTaf1blpCRwWLVl+hiMOmLyWxMC9ob3xXkxllQNLADGpMc5Bmxu3QGlGbSvJ3kz346DYURxZ5SaodSarvJbQdGzT1BEAYgn3zif/zRL+6Ba6/te24l9g45JP7xYhFtnt6ftaRn40wGdkRWt+EbOQh/qYeMlLOzJQjFciekGZPd9RI6uIB7qaMJB5oa3cTf1GxTwWfX2GC1fo3k1RC3kcFi1ffGBY0JLQZTspjMxrSgvRYfV3m5342z4ebsyiSUbpJsBYvYXaYtbukiyZ/9dBrJI4o9rXWZ1nqwya1Ma52X/OkIgpAL7L47/PCHxuOmaefDNf7smx6PuXjKT6DsUSyWoz7XR4836yxOtvTTc8+FHUrl67Ds2WqyAcejzSrb3n8hfaTMPcliFz3UHblYd3CzCl41xWJssFq/1taat6+t9a9tY37tFqu+Pe65lM87DGvlSgxrZSyLwZQsJrM1LWh9Pd2XXOIXe6ecltn5ZANJtoJF7C4rAkpTTJI/++k0kifixikIwgAmknAZybr0TSSEwDi3bBMbsc4mHRZH3xhRrYeRGoiBTwggpe5JMeyi76SbEzI2mK1fo633rF77BRdEEIAWq7sqWvqslXUY7qqn02h7MZiSxWQWW3GCiqo7pKi6kGQiffbj2N1Kp5FcxJ4gCEllt93gKX7MCnZOet/vF0y23Ta7ZF4MBIiqiGJ1x474xwhQ6q6u+N+pVGYJFXKXlLonmakti40IVVuTdGNDNK1j9drvvTeC+LVY3YW+qhI6uJE5theDCS8mrRawWWrFcblcfsuesyCzkxH6J2af/Qi7W5E0YDqN5CL2BEFIiNB11pIlsJoaxrIirO2CBfGN4bM+eVUMP1ne7BMiu45NQictLcb9hx8moTNrQalD37+Iwk5Me4mglDpeKfWVUupbpdRVJucLlVKP9p5/RylVl7bJxbFjnVL3JDO1df75aXUtjKR1rF5j6NcnSPyarPqsvm01NNt+WQktJnMwzXx3d7c/G6eIvX5P1pS8s9jhabt0TsSvUDqN5CL2BEFIKtXV1ud+8IP4+vQJEq2cUdv2uXHGIPbSlaClfHD0OQUuCk3n1dUVfiydBKj77JPTuYdSygncBUwDxgOnK6XGhzQ7B9iqtd4VuBX4Q1omF+eCP5JFKSkLtFC1dffdUVdNgeNeUtVIW1Vsk7A771hcsPqEYcCqz4tiFbVsxryAdMfQGtuLwYQWk9lYYiEKrm4X9GaTyHeKG2d/Jqv2Iix2eIpbmqN+hdJlJJckK4IgpI3y8sSu98Qi9rT9bJzZFtsXkTS5TsaSATSn3r/s4yDgW631CgCl1D+AGcCygDYzgGt7Hz8B3KmUUlqn7sNw++1ruPPSsyigBwf4bx0dOM4+G8cdd+BwOExvgwc7cTgK8HoLgAKgEKezgLKyQs48swC32zjW1FTAWWcV8PLLhUyZUkBRURElJSWUlpZSUlLSdwt8nm+V6am+3nKl5FsYdnTA6TRyU8tsSuhdhQUWzrNxveUljY0wZw4rm5pZrWq4SjfwCMZJpcy/tlobwrGhAep75/9I71gzOhqZR8A8AYqLKb0tNmtlhLclMtlYYiEKXS5jI8yBA0csXiBCzhFpLyLtXsU1NcaPQgjNmO/8ZOIrJGJPEIScQcfwDzxd4WTLl4PPO3NtxXhGJ9phOuosJOvNyUhNiH7HaGB1wPM1wMFWbbTWbqVUKzAU2BzamVJqNjAboCbOSP/GRrjyurW4ZvaAF/9N+x53g/edgOcEPx4ODCPoWo+Gz7zAAcFte7zw4Mfw4IchfXlCbm7j3kEeuqcY7S7BSQmjq0vYuaaCyvJKhlQOoaKiIuhWWVnJ5ZdX0NFRAVRwDVcHCyiIukqMurAMUIMK+ko/KA1v1tYzfTrMn29en88nHN98ExYuNBaCQ4bAy4Pqmd0Cf3DOYbSnGVVb41OFdv+MiWGxgM3mQuVdPYbYy1OytO3vZNVeREND8G4QQHExfx7UAC3hzTPxFZJvhCAIcZGJ3Byxij2HwpavoS0LoMUL7i2LB8CHNSclLvZMxkm25aynx7C3QBprDApWmP0BQv/gdtoYB7WeC8wFmDRpUlwfnDlzwKUHw67xXJ1avLiB7cB2PEBz7w3oE4S0Aa3Ait5jPwJ6jNue3ZDXA8W9t7JuKO+Bip4mhtxyGlWDqxhWOYzqIdXsMmoXdnr7Ix7ffAd7O9ewwVPL1fgtdn0LSxM1WKw7aKydA6uMtoceajQz00++BC6+r35LixFbN31BPWMylfzEYgGb8RILERCxN3DIqr2IwOxMzc3GJBoaOJh6/p4lXyH5RgiCYJvp043d50DMjDuFheByWfdzOg/zCD+LeXw7MXuvOo5lmnch3cPHUFKijYVftH6TJHiUtqgoHyepEmJbtkBoaGXo39Ey5jEoqFDcN5PAGmCngOdjgO8s2qxRSuUB5cCWVE2ouRnIq+GIBVdwkeN28hwuPArcDvAUFeA+5yw8hxyM2+vGoz3GvdcT9Dj0nNvr5q/zPOxod4PygMMNDg8oDyVlbn6473Lcn36Mp7MDd+kgevbcne4RVbg8Lro93XR7uvnsCxdu7QKnC5zdAfc94PQYKxobqxq/XIT1gSc6HoOO0IPAFcads6eJoq6ZFHVdSFdXNQXeYZz66EhG7NXEiFqoboORO4z76jYYvqaJxxqD14BWWCVwSZXWa2wMW5uG102DKI2yiz6x55ClbX8n6/YiTPylfc+y4Ssk3whBEGzzwgv+xzNnwvPPw4QJ4e2uuw6uCssp6OdFpsU0rj8bZ3Sx98f83zLNtRDX6LGUxDRK4iRF7EVzjUyG62TAytLSahi6+jQbV0c4J9jlXWA3pdTOwFrgpxC2E/IsMAt4CzgFeDWV8XrGrnkJr3/7R0Yx0Uj3TzPfOWsYMz/+1cq+m/zxaL4+16gaOo6ezp5PfRywcuuE4m9g7hXwc/9YDgem9kyloMftocfbQ7enG5fbLxBdHhdPPdvF9Te34/J0cFjBC5yafzfb8nvYlA+bC2BroYPWPXehtaSANlcbHT0ddHg66HJ34C0CBgFF4MmH9nygrBVoxcVXPP4lRtSlCUqD/ng4TK+GbbU0bdsZRu0MW323sdBdavl+pcolzVYMou9JFou7UFxuY4cxX0lylv5OruxFZMtXSMSeIAhxcdppxs2MX/86sthrpYLP2Iu9+TymMXschdEbOQxXT6/H/lr4UJbGNA8rook9j4104Fqb2fOy24ImWi9+emPwLgJewqgSdp/W+nOl1PXAe1rrZ4G/Aw8ppb7FsOj9NJVzCtw1f4R6HqGe4uLE04LX10Ptm43sf+9sirWhNGp0E7x6ry3TViTXLafDidPhpCivCEJ+Jq4+G2oLje7e/Goq+w05kBuZQ+mWKKtEh4PtWrMGI2ByZT4sL4KVRfDRhINxsZb129bjzndDKcG3MtAlQMkm4zbiU/M3ZWsdbNoLNu4Fm8bDxr1h4wTwFKTMJS2rklskEZ/YE8vewCBbhFQuIN8IQRAywj38kru4yFZbn/WpNb8qeltHr/LwetOuQqKJvZ784ojnQymit8xC4Do4CQYd8b7MLrTWC4GFIcd+F/C4C/hJuuZjZ9c8qhugBYctnAM6RGlYfSBDTFuJuG4FLwzr8TtZGZi+npoaBjc1MR6jJoYv7o8htfDvtwHwer2sW7eOFffey4p77mF5SwsrSkpYPnIkb6/YBMWtUAZUAJWB9w4YoqFylXHbPcBtoqcIx4YD2GvvyTy57BAm7zSZUWWjor9Im2RVcosk4hN7UmNPEIIRsScIQs7gckYXS8PUJgBG/u16elI9oRCS7cb5cx4CYP/haxLvN0bC1t+iEAcUkXbNbbsBmhGLoggxbaXKdcvq9dTOauCw+ZHVpcPhYPTo0Yz+/e85/Pe/D+q3tlbT3Lwe2pbBumUY1TSW4XB8jtfbYtSyGII/e+lwB4wogKouvGPeZOG2N1n4uNHXrkN25YTdTuCE3U7ge7XfozDPhpeDBVmV3CKJdLuNbFlSY08QgpFCJIIg5Ax23DirtZFdoXTZu6meTjjRxJ4dwWTSZvxOO/xPkhyzF3Mb0/HN20r9vf5JQvW2LRSFN9R52cJkl4oixFavZ+bCRKqSw403KoqLRwLHABcD91Bc/DoPPriZDRs28PKil7np8ps4Zfwp7LJ6F3jcC3d2wR+ABcDrULS2iHxPPt9u+Zbb3rmN4xYcR9UtVfz40R9z34f3sbVza8yvt6HBeHsDyfJEm7bos+w5xLInxE9jo1H/0uEw7jNSqD3JiNgTBCHr8UWx9Tijiz2nI70CI1D7OJKcjdOU995LSbfxaEgd5aIf81ScsxGymYTcAE2URjvF3M35rKIWL4pmVcsbsxIMEIyBiK/Hpro0WyDWR9CKw4cPZ+rUqVx11VU8/vjjLF++nC1btvDyyy9z7a+v5bhdjqPsvTK65nXR09BjRG3+Bwq2FtDW3cbTXz7NOc+eQ/WfqjnlsVN4/uvn8Xg9tl5vpHnlMj1ew5ejIE/EnhAjvV9grRwcfkYdU5oa0dpv5c91wSdunIIgZD0+C5HHhthzqMyVBkiKG2e0OX/7beJjBJCI9U31ztVK8j1Mjq8eBVNidQMMjoerZ8Gs3ti95mbWOGq40mPUrrvYd4GG2oWwKvzilKTcS9StMZpbq93pVlZWMnXqVKZOnQqAx+Ph888/54033uDVV1/l3//+N9v+vc0ovLEbsBd013Xz5BdP8uQXT1JbXssvJ/2Sc/c/l6HFQyOO1R+TW3R7DDdOidkTYiLgC6wwkkbNw/gCP0J9v0heJJY9QRBSxkKTEgu//nX8/X23JbrY22eCX7w4tL2d7mSRnDp7WZ7a0kyMSjrOAUUsboBvXNDI4WfUsaLJwQpt7Jh/f349jQ2rwOulxruqr0h5IM3N+BdhTU2kcps9UbfGhNxaI+B0Otlnn3244IILeOKJJ9i8eTPvvPMON1xxA0eWHkleYx7cCrwCbIGm1iau+vdV1Nxaw5WvXMn6ttCCgf0bn9hLJJ5RGICYfIFL6OBG/F/gXE9eJGJPEISU8SjhtRluvjn2fnxunJt3RP8nvvfe/sfl7etiHywBooo9O5ZGE+GU9Ng3G/MIHbPbbcyru9t/bNs24z6/uz1pUxOyH9tugI1GmYUa3YQDTR3GjvmMjsY+IWRlPaupIXUqKt7XY0G6sls6nU4OOugg5syZw2uvvcamTZtYcPcCTq4+mUF/GwSNwLfQ4e7glqW3UPPnGi574TK2dW2L3nmSA5UyEffk9roBEXtCjFh8UWvwH8/15EUi9gRBSBkP8nPLc0uZYrsfn/BwhRbQMmubwV+15Fj2soQQQfjuf437NwNKEjavNu7P/NfMNE1KyBZshbLNmdNXT8+Hb8fct76KaFVLY42ARBK/RBSsKaSiooL6+nqeeOIJWja38KsfPEPJ02fA3EL4Anp0D7e9dxvVN1ZzycOXMP+hHnMBlmQLapoMsmH4YvZE7AkxYfFFbcY43h+SF4nYEwQhhVi7933Efhw1fkNMvXVRFL1RXuZCkaOJvWypXhCP16Wn96UVtm0xVsSCEI0IO+a+9VVEq1qmVFSMZEN2y6eeGsRf/zqD9vYH4btN8OjfUfP2hVXgcrq445s7OPPNwTR1/x+n6PtZ3FTH6TMdtFXVwaWXJtWCmiaDbBh9Yi9fxJ4QAyZf4A5VzBwa+k3yIhF7giCklF1YzjEjl5me25o/nFu5LGoft3AFADsoi9p2w/dOjW2CCRIonJLixhkFryfxPszEnl0BOOXNW+CGGxKegzAAsBBla1RNkBCytKplg4qyQSazW/rcJWfODBRYZcDZ6LUfMvLlrznFfQpsc8DILjjvBp6fejYLnE20oSltaYKWFvPO47SgZqJou9frxauM39+iPBubgoLgw+QLXPzQXBp1fdLKu2QaEXuCIKSUlezC185xlud9Qi4Sf+ccAA49a4/oAxakKBObnTi3JLhxblnyWcTzoTvm8aC9CQrGf/4z8UkI/R+LHfPm8xvsLaByqEZAKur/RSPQXdKK9et24/HfPw53b4SlxwPQeSj833kwpgp+D7RZXRwi1u3G4WXCINvT09O3opXSC0LMZOILnEZE7AmCkHIi6aR1jLLdz5YR1qLRhyMvcz9rSYnZW/dd4n3EgC8eUnuC5x4qCFW2+KAKuYPFjvlhd8ewkOrni7BEMHOXDMUnsGpHDoWXX+TNv8PILUA17PgF/G5fGAvcCfQEXhhiQY0lDi8TBlmXywVO43G+Iz91AwlCDiJiTxCElOMI+aW57LLge7s4nTbGSrPYc2z3Z7pLS4KWVJU56OyMeQ6H85/UzEXoP4hYSxnR3CKVMkRZXR1Mn24IrlFra/nqXpj1EZAPnAQbp8PFDtgnL49XwNSCGkscXiYMst3d3X1iT+rsCUIwIvYEQUg5ofrk1luN3eEzz4ytHzu5V5QjzTXfAixeSYnZM22TXKua2RDrolSp0IHJdno7GMqWJM5KEFJPJkoCpIpIbpFK+b/nTU0wfz7MmgV/HtqAo7uYB56B+56BAjdwEAw6N58vC9wcB5wyaRJ3bj066H2ychW1Epzp1vgi9gTBGhF7giCknEjGqClTYAU72+rHjthzODNX4Dsp9fCiZrpMwhgBas8n4np6rBqb8MEHic9BEGySLIGWqZIAqcLKXXLo0PANnY4OWLgQbt9cT8kCw+x21seKJS9WM8pZSeeoHqp+XcWgUYN48sknufjivWhqehCtNU1N1r/h2ZIYVdw4BcEaEXuCIKScSGKvpAQe4oyI1/sEyaZN0cey4+qZKvose088AVu3hp2PN+xNRyhhEQ9mfw+HCpmcxOgJVqTRPJZMgZapkgCpwspdcouFwb3PChdgdjv4vXW8e+lnTBwxkc16M6WXllJQOwXYCswCTgJa0Dr8dyPuOLwUfH7EsicI1ojYEwQh5YTG7AXidEIr5bb6+fLL6G0yWGbPEHurVsFPfgKnnx7ewFZGz/A2QceSIMJsdRHaKHMGUyGbiKC+UqEBkynQMlESINWYuUvGmg1zVNkolpy1hKN3PppNnZvo/tmnsNPVQDnwLLAv8CZaJyEOL0Xm1e7ubn82ThF7ghCEiD1BEFJOJMue0wl3cWHSxsrPoAdPdds3/kQnkfKhJ4DLldz++rJxipoT7GChvtounZMSF8lkCrRsrNGeCoEcTzbMwYWDWfizhZy616lQuAPOuA1q5gIHA2uAI6isvJWVK3VicXgpMq8GuXE6xY1TEAIRsScIQsqorTXuo4m9bgqTNmYmxV5d6ycJW950lOtbWxPq3jdI2KGkxBsK/R8LlVXc0pwSF8lkCrRsq9Eer5ErmkCMNxtmYV4hjT9u5NCymVDQDjPPgrobgCsAD1u3/g+/+MUvjJp28ZIi86q4cQqCNSL2BEFICVrDokXG42hiL5kkJPYiCa1YRZzJi85GQVWIualQuUMWdNk3dSETWKisZiyOJ+gimUyBlm012uMxctkViPFmw8xz5PH6ZQ9weNksKOiAn51E9QEnc9FF/6CoqIh58+bx/e9/n23btkXvzIwUmVdF7AmCNSL2BEFIOYmKvVhcDDNp2QNSlNgkoLxDknsezsbkdpjIrr+Q/Viorz8PNVdfVmt4u+6LyRZo2VT2Lx4jVzqSzDgdThb/6j7O2OcMKGjH9ZNpzP7teBYvXsyIESN47bXXOOaYY9i8eXPsnafIvCrZOAXBGhF7giCkDJ/uiZagBeBA/puUMVMm9qwUq5W4M2lvRwd2daUhds7MjVNFbWKPE0+M80IhJ7BQXwffVm97DR+r+2K6BVrS4uiidBSPkStdSWYcysF9M+7jpD1PYmvXVqY+NJWhuw3lnXfeYezYsXzwwQcceeSRrF+/3rggU+q9F7HsCYI1IvYEQUgZvpJxdix7kax3PvfHtjY4hn9FHDPdlr3i95fYblvg2hG1TU+PmcoKeG8ivZnZwEsvZXoGQqoxUV+xrOGzuQRC0pJF2ugoHiNXTAIxQdWa58jjkZMf4eidj2ZD+waOX3A8xVXFLFmyhHHjxvH5559zxBFHsPHuuzOu3iUbpyBYI2JPEISU4bMORdInvsWOnXi2K6+ETQyL2CZlMXsWjL7wR7bbfv/p823MIfzQxCV39GX51EkQe4EvcxhxuGIJggl21/DZXAIhaULURkfxGLlsC8QkqdaivCKeOe0Z9h+5P8u3LufER06kYlgFr7/+OhMnTuTrr79m+q9+xY4Mq3fJxikI1ojYEwQhZdgRezffbNw78Vi28QnBww+PHr+Xsjp7doWgr93q1WEvvNC1PfrlVidCV3jpJssNikLukI0lEHwkTYja7ChWI5dtgWhTtdox/pUVlvH86c9TU17DO2vfYeZTMxkydAiLFi1il1124f3ubn4M4ame0qjexY1TEKwRsScIQsqwE7M3ZEhvG7xR+1MqutjLeIKWK6807ndEd9k0JYqmTEpGTzvCNSWJZgQh+0ogBJI0IZpCRWtLINoQm7EY/0aWjeTF+hepKKrg6S+f5rev/pbq6mpefvllRjgc/As4h5CfrzSqdxF7gmCNiD1BEFKGnZg937kCui3b+ASewxFd7CW7lEPMvPhiYtdnicgKm0Z2TEvoB2RbCYRAkiZEM61obYjNWF1Wxw8bz1OnPoVTObn5zZt55NNHGDt2LC9efz0lQCNwu69xlNea7GLyko1TEKwRsScIQsooLTXu99gjets3OMzynM+aZceyl1BIW1YIrWyYgyCklmwqgRBI0oRopI6SrXTMsCE243FZPWrno/jL8X8B4Jxnz+GDdR+w35w53H/xxQBcDiwZMSLim5a0JDgBiGVPEKwRsScIQsrYdVd44QW4777obT1ED7aL5A7ab8iQ1lM9wZbVqKLZl3I9kGXLkjchQcgQSROiZh2lQulYjR1FtcbraXrhgRdyzn7n0Onu5KR/nMTd8zdyxbO3A1fgAX7YBWuPPNLy+lRkY3W5XJKNUxAsGAhLJ0EQMsj06X4LX6I4HNDJoIhtsr0yQTRi0np//ztcdVXkNjfcYLwpbnfAIOGjlL7+Qiwjw4wZ4cf22iu2PgRhoJHOuhNRVGu8nqZKKe6afheTx0xm9fbVXPyfU2ha0w3cCBxNa+sGpk07G23hKZGKbKyBlj3JxikIwYjYEwQhZ1AKVrFzpqeRUlQUV9LqlW/5n5x7LvzhD5E7vOkm497lz5UXNkRHR9hB7Y0iOzdujHxeEIRwsqjuRCIuq4V5hTx56pM420fh3ek/cPxlQB5G5N4QPv30ZebNm2d6bSpy14gbpyBYk5NiTyl1olJqbmtra6anIghCGkm5G2c6YvY2bYo2iYhnB7W3JG8uPsaPz32TqCDkAllWdyIRl9WRZSPxPPw0uAvhwHvggLlANXAXAJdffjmrVq0Kuy4VuWsCE7SI2BOEYHJS7Gmtn9Nazy4vL8/0VARBSAOjRxn3dvRI1muW4cMjnnZo63qDySLsPWpqSvmYgiCQ+SydEYgnb0xt3kHwbK8Fb9rFUP0hcBrFxSfT1tbGWWedhdcbXFYnFdlYOzs7JRunIFiQkzq14b4AACAASURBVGJPEISBhUP5s3FmjDRl6qxb93ZyOzSZt5mLZsn7S6JeF0TWq2pByEKytO5EvHljGhqg+Nsz4N3zIa8bfnIqgyp28P/+3z0MGzaMxYsX02jSSbKzsXZ0dIhlTxAsELEnCELW49MVGa+hl8v09EQ8Xfnk39I0EUEY4GRh3Yl488b4tGvNF7fC+okw9Fsm/vYXnH9+FbfccgsAV111Fe3t7SmauUF7e7tk4xQEC0TsCYKQ9fjEnsMB0UJ1lYKHmBnfQJGsWbluyXr0Uftt//vfLKk5KAhCOkgkb0x9PTQtL+KrGx6jtKCUt9v+wbwP5nHGGWdwwAEH8N133/GH3kRSqSox2N7eLtk4BcECEXuCIOQUdjRXOyXJHzjXxU9np/22Bx+cunkIfSilblFKfamU+kQp9bRSqsKi3Sql1KdKqY+UUu+le55C/yfWvDFmom33obvz1x/8FYBLXryETzd+yl/+YhRgv+WWW7jttuaUlRgMFHti2ROEYETsCYKQNVzP/5keDxR4dsSeNwU/bd99l/Qu08v27f7HcQhXHfrG57qlMzt4Bdhba70P8DXwmwhtj9Ja76u1npSeqQkDiVjyxkSK7/vZhJ9x7n7n4vK4OPWJU5l44EROO+00urq6uPrqq1JWYlDEniBYI2JPEISs4Tqu4WoiZ6WLpjGUAk1wow/ZN9GpRQt5yyni0Wl1zUuiNxJiQmv9stbaV+3+bWBMJucz0EiVS2EuEkvemGjxfbdPu50JwyfwdcvX/PKFX3LzzTdTWFhIR8cjwLKw/pJRYrCtvU2ycQqCBSL2BEHIGrw4uYmrw477snGCsTA7lDci9hMq9vbnQ75lbPQJRLB4pcyQNXJkijpODBVS729Yy5cZmsmA4WzgRYtzGnhZKfW+Ump2GufUb4k3+2R/xm7emGjxfYPyB/HYTx6jJL+Exk8beWP7G5x99tm9rW4Ouy4ZJQbbO9pBgUM5cDokk5cgBCJiTxCErONo/h18IMSN8xt2i3j9i0wLO/YJ+yRjasln/frU9u+L1Xv44b5DZqUXQonZ0zOWBDADCKXUv5RSn5ncZgS0mQO4ASupcajWen9gGnChUup7EcabrZR6Tyn13qZNm5L6WvoT8WafFOzF9+1ZtSe3T7sdgIsWXkT9BfU4HE7gYWBFX7tklRhs7zSyfRY4xIVTEEIRsScIQsaZNw9eDLBpNBO6mvCrPaXAiXXhcaVgKVPCjp/NfQnNMedD1L76KqHLQ62lrFgR/Py22xLqv7+itT5Wa723ye2fAEqpWcAPgHqtzSW21vq73vuNwNPAQRHGm6u1nqS1njRs2LDkv6B+QiLZJwc6duP7ztr3LE7c/URaXa1c88E11M/8GeChtPSPSS8x2O4yxJ5k4hSEcETsCYKQcc49F44/3v/cGeC2eR5zaXcO7nseKPbWUW3aXyvlJsdMEx36efbZGGacpXz7ra1mqtsVvVGspr1cz1aaAZRSxwO/Bn6ote6waFOilCrzPQaOAz5L3yz7J7FmnxT82I3vU0ox78R5VBVX8e+V/6bm5BqUUnR338+aNd8lrcSgx+Oh290NSHIWQTBDxJ4gCFlHoIHjb5wXZFVzOGArlQD8icvDrlUK/u93cfy0zZiR+4LlhhtsNSt889WobcJcPXPetJmV3AmUAa/0llW4F0ApNUoptbC3zQjgDaXUx8B/gRe01osyM93+QyzZJ4Vw7Mb3jSgdwc8G3wtAwzu3UjjieLq7u7n11luTNhfJxCkIkRGxJwhC1rG+12J3EXeEnVMKOihBofkT/2t6/ZiBmtNw/nx77eyI2pA2YW6c8fQpBKG13lVrvVNvSYV9tdbn9x7/Tms9vffxCq31xN7bXlprkSNJIJbsk0L8NDbC3/7nZPjsNCjooOuYbQDce+/9dHV1JWWMBx/0i72N6/MHdJIdQTBDxJ4gCFnHDgaj0NzFRUDsdfackowtMjaEWXgTEXtC/8KudUqIn75EOIv+Ap0VsNtbsHcdbW0tPP3000BiJTAaG+GKK/xiz+MqGPBZVQUhFBF7giDkFHbq7K1enf5xc4mhl58ZtU3M2k3EniAMaMxEW1/Cm7ZqeOWPxuPjW6AI5s6dm3AJjDlzoKur3b+a9RRIVlVBCEHEniAIWU+slr21a4Of205EKYKlj9C3QvcntSsIQlKxEm1DhgQ0+vAcaDoMSnfAMXksXryYK6/8OqESGIaY9Fv28OYHHBcEAUTsCYKQA0TSGS9yfNixgpAY/d13hzPPTN0cBEQoC8IAxqpuIQQkwtEOeP6v4HXCAR4YBt99N8+0P7tizcieGiD2PAUBxwVBABF7giDkAFZCy+GABcwMaysxe0kgRLyVtW+I3L69PYWTEQQhm7ESZ1u2hCTCKR7PMRXngUPDseBwPACEl4KxK9YaGqCgIFjsSVZVQQhGxJ4gCFnPAw+YHy8thYepZyovBx23EnvjWBb3HAZ9uDTuazNCTw988UXclw/q2hrbBQmMJQhCbmMmzk6nkWZHHfVnOFhFHd6HGlm1ChrPu5bSglLYA7y1mykoeC7oOqUMN1A7yVrq6+Gcc/xirzA/X7KqCkIIIvYEQchqjj8eDj7Y/JzPXbOZ4JVGXh5cyJ1Bx5SCLxkXebAIrohD/npT1LlmFT/6EYwfn5y+XnstOf0IgpBz2MmWGVq38HQamcdsxnjCM6+MKB3BVYdeZTQ8Dvbd7zFqa42nSvl/hu0ma9l3X7/YO+KwAhF6ghCCiD1BELKaSKFgPgve1+zRd8znxnk3F6Z4ZlnOCy8kdn3gG3/hAH8vBWGAYjdbZmjdwj8651CCdeaVX03+FdXF1TASPnY/y7JlHdTWhv/e20nW0t7uz8YpRdUFIRwRe4IgZA2vvQa33QZ77mmvvZW7ptlxWwlWrrjC3sADAe31Pw7NvCAIQuZIpDBdjFglXjETYIF1C8d4LYL4eoP7ivOLufaoawFwHehi0dW/YXFTHR4crKSO02kMvcSS9na/ZS/fkR/9RQnCAEPEniAIWcORR8Ill8CvfhW53TPPGPdWYi/uzJl33RXnhWniyivTN5Y3YIu9qSl94wqCYE2ihelixEpoRc2WaZVhJeD4rH1nUUYZVMOdL95JHU040NTRxDxm9wm+aMlaAsWeWPYEIRwRe4IgZB15ef7HZm6cEyca92aiTql+XCbhllsyPQNBEDJJLKa2JGBDs5kTGsQHhKbJLMor4vz9zgdgyWRvUE7OEjq4kTm2Mmt2dHSI2BOECIjYEwQh6/B6I583E3NLmcx8fm553sc7HJTAzAYQUjdPELKPuE1t8WFDs5kTGsRXW4tZmsw5x83B0QWeneHO0cFd1NBsK7OmuHEKQmRE7AmCkHUEij27muNQlnIm8wG47DLrdpr+avYTBKHfE7epLT5sajbri31BfKtWmV5UXlTOYZ8WAnD7YcHnHLU1tsYRN05BiIyIPUEQso5olr1oVFYmZx4DGrHsCUL2EbepLX5saLaEaPjeleCG5nHwpe+3O4bXJNk4BSEyIvYEQcg6oom90aPhuOOi5yRw4f/H32/j+FKEFrEnCNlHQqa27OSwK69n8MpBANw8kZhfU5Abp1PcOAUhlLzoTQRBENJLeXnk83l58NJL0fuZwKccxH9ZgF/siRunPZSIPUHITurrc1rcmXHMiON5mqd55ohyvK+uwKHs2yLa29vx7euJZU8QwhHLniAIWcfpp/sfJ6I5vmF3GpkZdGwe58Xf4UBCxJ4gCGnizCPPhG3Qqlp5beVrMV0rMXuCEBkRe4IgZB0OB9x9d2r6vp+zUYiQiYqIPUEQ0sRRRx6F+sTwupj77tyYrpVsnIIQGRF7giBkJbvuatwnS3NMnRr8/HzuSU7HgiAIQkKUlZUxyTkJgGe+eobWrlbb14plTxAiI2JPEISsJNkJVU49FaZP9z//K+eLhS8C2ivvjSAI6ePEw0+EldCtu3ns88dsX9fe3t6XgaIoryhFsxOE3EXEniAI/ZLbbgs/dtVV6Z9HrlL43puZnoIgCAOIqVOnwkfG4/kfz7d1jdaajo4OMJJ5MmTQkBTNThByFxF7giBkNfG6cU6eHH7MrKTDFqQonxll99+e6SkIgjCAmDRpEoPXDgY3LF29lI3tG6Ne09nZidYaR4mxnBWxJwjhiNgTBCErGTXKuD/wwPiu32uv8GNmwnEfPolvAEEQBCFp5OXlcfRhR8NK0GgWfrMw6jXt7e0AqBLD71/EniCEI2JPEISsZPx4+OgjuOGGyO2OPdb8eL7NpGxrGRPbxARBEISUMHXqVPjaePzc189Fbe8Te+LGKQjWiNgTBCFrmTjRKKAeiecC1gPnnut/bHadVBMQBEHIXo499tg+sffSty/R5e6K2N4n9nSR8eMuYk8QwhGxJwhCTlMUkHzttNP8j82yeRbEkJX7a3bjNi4xPbcXn7E3n/I54+13KAiCIERkt912oyq/CtZDe087i1ctjti+vb0dFHgLjIDsiqKKNMxSEHILEXuCIOQ806YZ952dkdtNmmR+vJj2sIwud3Ehl2GS0hNYxl58zt78iKdjnaogCIJggVKKyZMnw1fG8+e+iuzK2d7eDr0bfhVFFTgdzhTPUBByDxF7giDkPL74PI8ncrvCQvPjnRSHmf00hmlwBs9Y9redwbbnKAiCIERnypQpfrH39XPoCP737e3tEq8nCFEQsScIQs7j7N3MjSb2ImLi96k1PMsM211YuX0KgiAI9pg8eTKsg7yuPFZvX83HGz62bCtiTxCiI2JPEIScx5eMJSGxF+LG6bPsRSK0zRZksSEIgpAIBx54IE6HE/cyNwDPf/28ZVsRe4IQHRF7giDkPBMmGPfV1Ql0EpK+8wHOjHpJqNjrwWa9B0EQBMGU4uJi9t13X/jGeB4pSYuIPUGIjog9QRBynquvhsWL4XvfCz6+zz4wfLjNTk4+ue/hSupoowyAPfawvqSFoUHP3USpEyEIgiBEZcqUKdBsPF66eindnm7TdkFir0jEniCYIWJPEIScx+mEI44IP/7xx7Bhg70+duwyse+xwp8QYPx4OGaPNXwy+NCwa7w4uZlf9z33IJngBEEQEmXKlCnQDqWdpXS6O3nvu/dM23V0dIhlTxCiIGJPEIQByebNwc+3bwd23z2snVKwIW80O/IqTftZzti+x2LZEwRBSJzJvTHUPd/0ALCkaYlpO3HjFIToiNgTBGFAMjTYA5OVK4F//hMItuwpZWTltOJxfgLARdzBehIJGhQEQRAAampqqKwchetrFwDXzX+dxsbwdiL2BCE6sg0tCMKAYsEC2Lo1/Pjhh4PeVAXAOxzcd/zJJ417XW6u+FqpCBCHmkf5aTKnKwiCMOB4+GHF9u2TwW38AHcNe5PzfuEG8qiv97cLFHuVg8y9LwRhoCOWPUEQBhT19XDRRRYnq6rYn/c5kwfCTrndEcx7fUQv1yAIPpRS1yql1iqlPuq9Tbdod7xS6iul1LdKqavSPU9BSDdz5oDHMxl2AFsGQ+EOOss/Ys6c4HZi2ROE6IjYEwRhwLLnnuHHPmR/OikOOx7o2hmJLcjushATt2qt9+29LQw9qZRyAncB04DxwOlKqfHpnqQgpJPmZoCDjCerekva1L7ee9yPiD1BiI6IPUEQBixffGG/rV2x9xaTTY8fyyv2BxMEPwcB32qtV2itu4F/ADMyPCdBSCk1NQD7AQqathkHa5f0HvcjYk8QoiNiTxAEwQb/LvoBALvxdcR22xlsfj3HsqF6n6TPS8h5LlJKfaKUuk8pZWYWHg2sDni+pveYIPRbGhqguLgUGAdNHuNg7X/4/Q3eoHZt7W3+mL0i8aoQBDNE7AmCIJgwdWrw8/uKLmAILXzLbhGvu5g7uJMLmcMNYefaS+xWeBf6C0qpfymlPjO5zQDuAcYC+wLrgD+ZdWFyzNLMrJSarZR6Tyn13qZNm5LyGgQh3dTXw9y5UFIyCbaBY0clDNrKPsd+GtRuh2sHOKA4r5jCvMIMzVYQshsRe4IgCDZYs1axlehuQi1UcTF3solhYec+Xl6aiqkJWYzW+lit9d4mt39qrTdorT1aay8wj74gpSDWADsFPB8DfBdhvLla60la60nDhoV/BgUhV6ivh5tumgRAXa/Re+nqpUFt2jxtAFQUVqR3coKQQ4jYEwRhQHPeef7Hd9/tf1yR4NrBrOZeYAF2QVBKjQx4+iPgM5Nm7wK7KaV2VkoVAD8Fnk3H/AQh00yaZIi9rm+6AHhrzVtB5zt0ByDxeoIQCRF7giAMaGbP9j++8EL/49EJRkU9x4mcxNPczsVUsw4AHeCRt5mhVpcKA4c/KqU+VUp9AhwF/ApAKTVKKbUQQGvtBi4CXgK+AB7TWn+eqQkLQjqZOHEiTqeTde8av6Ghlr0ODLFXVVKV9rkJQq4gYk8QhAFN78axJfPnx9uz4p+cxKXczgYTK9/53Btvx0I/QWt9htZ6gtZ6H631D7XW63qPf6e1nh7QbqHWenet9VitdUPmZiwI6aW4uJi9994bvV5T5Chi+dblbGzfCEB3dzfeAiNhy9Bi2TwTBCtE7AmCIJigeo1wpSkKs9NSgF0QBCEqkyZNAi+McYwB4O01bwO9ZReKjDbixikI1ojYEwRhwPP971ufy8sLP/boo/DBB4mNqVEoNK9wbGIdCYIg9GN8cXuFG41smz5XTqmxJwj2ELEnCMKA56WXrM85neHHTj0V9tsPRo2KbZz7OLvvsc+yN4/zrJoLgiAMeHxir/WzVsCfpEXEniDYQ8SeIAhCBFautD730Uex9fUl4ziId2hhCEv4HgCPcyqjWcOJPMvBvM1Zu7yewGyzkyZqMj0FQRBylAkTJpCfn8+at9cA8O7ad+nx9IjYEwSbiNgTBGHA8/Ofhx/zxext2WJ9XWAZs8MOszfWuxxEFS1sCcjG+R2jeZ4T+S8H837J9ziCxQA8xk/sdZrluJBix4IgxEdhYSH77LMPdMDoQaPpdHfyyYZPROwJgk1E7AmCMOAxE3s+PB57feTnW5/beWf7c/F6YQlHoNCcxmPBJ3t9SpvZiT34MujU9fyf/UEEQRByiMMPPxyAoe3GJtnS1UvZsmWLiD1BsIGIPUEQBjy77BJ+7De/Me6HRsnovWiRca8iJNf0eu3PResIJ//8ZwD240O+Zg8m8EnfqWu4zv4gacYr/2oEQUiAY481ElltX7YdMOL2Xn31VRF7gmCD/9/evYdbVdd5HH9/5HCMm4Qwoik3SxzBdEQyL0+CE14npdFKnOM1J4ou3p6nRw0nLYdnamoah8nS4yhqoVSMmhSa5qXGvCKJYoQSIJIYeEOREtHv/LHW4exz2vuwD5y91r58Xs+znrPW77fW3t/z9edhf/dvXfwvsJk1vM4zb9/7HgxJn9G7zz5dH/vRj8JnPwuzZpXe57nnyo+lc7G3jPdvWX/1tHO4957YcgroYj5YsGfPPMrhKfZlCOv48tAbe+T1nuSDHM+8HnktM2s8s2fDtGkTgCZW/l/yx/Q3z/+GeT+b52LPrAwu9szMOik8JfPII7vet6kJrroKhg+HBQu2/71ffLHj9kTuZy4nsSd/YMmSrcz8FVjM2L9qO5UfbPW4pxnLywzht+85pEP70n4HsIphW7Z/wVFFjz+NjkXiJ/kJy9irnJDNzDqYPRumToXnn+8PHAJrAzYMYtX6Vax4zwrom+znYs+sNBd7ZmadbNzYcfu008o7bt99t/+9X3214/Yf2YNPMpcVFDnXtITRLOV+JgLwA07d0j6bUxnH4wziFT7MwzzLB2jibb7GV7fs81muBmBV8wcYy+It7cv7fZAP8wgA3+F8FrE/AB/iUUawkis4F4Cf8w9bjhnGKp5h77LjNjMrNH164d/jSRDA/ekZDUcBTdDcq5k+TX3yCdCsBhR5XLCZWeMZNKi90Hr99Y59ixaV9xo7VvimkxHtM3u77AJr18KFfIOHSGbhDuMBRvAczzKaC/gOsziL45jf4TV+yzgAHuXDjOZZAC7ja9zCiQzhJV5n4JZ9f8dY/otzOJeZvNy8Gy+yGyIJoIm3uYUTWcCHADifKzifKwD4NNeyG2tYXTATaGbWXatWFW5NAi6FhWvg4D4w5M9AMqunri6aNmtwLvbMzIDHH2+/Ucv69R37LrsMTjwx85DK8u9cuGX9QQ7jQQ4D4G2aWciBLGVvLi+YuSvlyXSmrrPzuIKFjGPO6ikd2jfTm0c4uOgxswoeHm9mtq2GDy+85vkgYAC8+yzcLTglafUpnGZd82mcZmYkN2k56aRkfYdOfxn32y/7eIopvF6v3Gv33qQ/A3id/ryxje8qbuQMNvlZeWaWsRkzoG/ftq0m4IhkdWmw02s7AS72zLbGxZ6ZWWrOnOTDxb90emTd+9tviMkdd2QbU6GPfASOPjpZX7eu/OM2MIA36d+t9yq3mDQzq5SWFmhthREjksfbDBo0aUvfGUPPYEDzACaMmJBjhGbVz6dxmpmlmprgK18p3td2l8yhQ7OLp5juPLPPzKzWtbQkC8CSJZMYMyZZnzZ5Gt8e/W2aezXnF5xZDfDMnplZGYYOLa/QGzmy4qGYmTWkxx//W0Y3H8rH6cfoMWPYNHR08nwGMyvJxZ6ZWQ966im46aa8o9h+y5blHYGZWbvZs+GeT9/Ewk1PcCtv0gvo//JzbP70VBd8Zl1wsWdm1oP692+/0YuZmfWM6dPh0ren04+OD0Jt2rQx6TSzoqqm2JPUT9INkq6R1JJ3PGZm26q5GRYsSB7Z0Ob00zvuc8QRmYZkZlbTVq2C4awq3WlmRVW02JN0naS1khZ3aj9G0lJJyyRdlDafCMyNiM8AJ1QyLjOzSjvwQLj00mR9zz1h5syO/X36ZB+TmVmtGj4cVjG8dKeZFVXpmb3rgWMKGyT1Aq4EjgXGAKdIGgPsATyf7vZOheMyM8vEwoXJA9sHDoQrr4T3vQ8uuaQ+ruszM8vKjBnwtd4zeJO+Hdo3N/dNOs2sqIoWexHxa+CVTs0HAcsiYnlEbALmAJOB1SQFX8XjMjPLygEHwHvfm6x//vPwxz/C5ZcnxZ+ZmZWnpQUmzWrh4sGtrGQE7yI2DB5B03Wt7c9mMLO/kkdRtTvtM3iQFHm7A7cAJ0n6PjCv1MGSpkpaIGnBuu48VdjMrMqsWAFjx+YdhZlZbWhpgZkvtTAyVrJDvEv/l1a60DPbijweqq4ibRERbwJnbe3giGgFWgHGjx8fPRybmVlmRo6ExYvhV79K1v2MPjMzM+tJeczsrQaGFWzvAbyQQxxmZlVhwgQYMQImTsw7EjMzM6sneRR7jwF7SRolqRmYAtyeQxxmZlXl3nth0aLksQ1/+QuMHw+TJ8P69XlHZmaWsdmzk9Mddtgh+ekHp5ttk4qexinpZmAiMETSauDSiLhW0heBXwC9gOsi4ulKxmFmVgsk2G+/9u3HHssvFjOz3MyeDVOnwsb0AerPPZdsg6/RM+umihZ7EXFKifb5wPxKvreZmZmZ1aDp09sLvTYbNybtLvbMusWPODAzqwGbNsFbbxXv23lnuOsuGDYM7rwz27jMzHrcqlXdazezklzsmZnVgN69obkZbrgBdt0VNmxI2lta4IUX4Mgjk89BRx8NS5eWfp2LLsomXjOzbTZ8ePfazawkF3tmZjXk9NNhzRro1w8i4Ic/hB137LjP6NHwxhvtd/e85JL2vksugfvuyyxcM7PumzED+vbt2Na3b9JuZt3iYs/MrA717w9z58LHPgbnndfe3q9fUgTOmgXLlyenhs5Pr6CeMwf+9KdcwjUza9fSAq2tyTNppORna6uv1zPbBi72zMzq1ODBMG9e8nP58o539zzzTBg1Kjk19Nhjk1nCk0+GXXZJ1gcPLv6aM2bAAw9kEr6ZNbKWFli5Et59N/nZqdDzkxnMylPRu3GamVl1GDUqWcq1YgW89lryc8IE6NOn483xjj0W7rgjKSJvuw0uuKDnYzYzK8ZPZjArX03O7Ek6XlLrej9p2MysIgYMSO7uefjhyUxf57ugz5+ftI8aBeefn6wXLm3OOMMPhTezntXVkxnMrKOaLPYiYl5ETB04cGDeoZiZWRE33JAUi7NmwU475R2NmdUTP5nBrHw1WeyZmVl1O/305IOXlHck1UvSjyQ9kS4rJT1RYr+Vkp5K91uQdZxm1cZPZjArn6/ZMzMzy0FEnNy2Luk/gK5OeD0iIl6qfFRm1W/GjI7X7IGfzGBWimf2zMzMciRJwKeAm/OOxawW+MkMZuXzzJ6ZmVm+PgL8KSKeLdEfwF2SArg6IlqzC82sOrW0uLgzK4eLPTMzswqR9Etg1yJd0yPip+n6KXQ9q3dYRLwgaRfgbkm/j4hfl3i/qcBUgOG+gMnMrOG52DMzM6uQiJjUVb+kJuBE4MAuXuOF9OdaSbcCBwFFi7101q8VYPz48VFsHzMzaxy+Zs/MzCw/k4DfR8TqYp2S+kka0LYOHAUszjA+MzOrYS72zMzM8jOFTqdwSnqfpPnp5lDgAUmLgEeBn0fEnRnHaGZmNcqncZqZmeUkIs4s0vYCcFy6vhzYP+OwzMysTnhmz8zMzMzMrA652DMzMzMzM6tDLvbMzMzMzMzqUE0We5KOl9S6fv36vEMxMzMzMzOrSjVZ7EXEvIiYOnDgwLxDMTMzMzMzq0qKqN1nrkpaBzyXbg4EOk/1ldM2BHipIgEWVyymSr9GOft3tU+pvu6013res855V/0e69u3v8d6zx6f1VgfERF/0424Gl6nfyO3Vdbjd3s41sqppXgda2XUUqxQW/H2RKyl/42MiLpYgNZtaQMW5B1npV+jnP272qdUX3faaz3vWed8e/NbDznPI+8e69U/1r1ku2Q9fh1rdS61FK9jday1Fm+lY63J0zhLmLcdbVnqiffv7muUs39X+5Tq6057rec965x31e+xvn37e6z3NySTcgAACVxJREFU7PFZj3UzMzMrU02fxtkTJC2IiPF5x9FonPfsOef5cN6tltXS+HWslVNL8TrWyqilWKG24q10rPU0s7etWvMOoEE579lzzvPhvFstq6Xx61grp5bidayVUUuxQm3FW9FYG35mz8zMzMzMrB55Zs/MzMzMzKwOudgzMzNrMJKOkbRU0jJJFxXp31HSj9L+RySNLOi7OG1fKunoKon3Akm/k/SkpHskjSjoe0fSE+lyexXEeqakdQUx/XNB3xmSnk2XM6og1v8siPMZSa8V9GWd1+skrZW0uES/JM1Mf5cnJY0r6Ms6r1uLtSWN8UlJD0rav6BvpaSn0rwuqIJYJ0paX/Df+qsFfV2Onxxi/XJBnIvTMbpz2pd1XodJuk/SEklPSzq3yD7ZjNm8bzfqxYsXL168eMluAXoBfwD2BJqBRcCYTvt8HrgqXZ8C/ChdH5PuvyMwKn2dXlUQ7xFA33R9Wlu86faGKsvtmcB3ixy7M7A8/TkoXR+UZ6yd9v8ScF0eeU3f73BgHLC4RP9xwB2AgIOBR/LIa5mxHtoWA3BsW6zp9kpgSBXldSLws+0dP1nE2mnf44F7c8zrbsC4dH0A8EyRvwWZjFnP7HUiqZ+kGyRdI6kl73gahaQ9JV0raW7esTQKSR9Px/lPJR2VdzyNQNI+kq6SNFfStLzjsYZ1ELAsIpZHxCZgDjC50z6TgRvS9bnARyUpbZ8TEW9FxApgWfp6ucYbEfdFxMZ082FgjwrHVEo5uS3laODuiHglIl4F7gaOqVCc0P1YTwFurmA8XYqIXwOvdLHLZODGSDwMvFfSbmSf163GGhEPprFAvuO1nLyWsj1jfZt0M9a8x+uaiFiYrr8BLAF277RbJmO2IYq9UtO+JaafTwTmRsRngBMyD7aOdCfv6R+Ls/OJtH50M+e3peP8TODkHMKtC93M+ZKI+BzwKaAmbgltdWl34PmC7dX89YeQLftExGZgPTC4zGN7Wnff82ySb8vbvEfSAkkPS/p4JQIsUG6sJ6Wnbc2VNKybx/aUst9PyWmxo4B7C5qzzGs5Sv0+eYzZ7ug8XgO4S9LjkqbmFFNnh0haJOkOSWPTtqrNq6S+JMXR/xY055ZXJafBHwA80qkrkzHbEMUecD2dKmJJvYArSabPxwCnSBpD8u1KW4LfyTDGenQ95efdesb1dD/nl6T9tm2upxs5l3QC8ABwT7Zhmm2hIm2db81dap9yju1pZb+npFNJvkj5VkHz8EieYfVPwBWS3t/zIbaHUKStc6zzgJERsR/wS9pnULPObXfebwrJF+GFn4uyzGs5qmnMlkXSESTF3oUFzYdFxDiSfz++IOnwXIJrtxAYERH7A/8N3Ja2V21eSU7h/E1EFM4C5pJXSf1Jis7zIuL1zt1FDunxMdsQxV6Jad9S08+raZ9Ob4j8VEo38249oDs5Ty8M/iZwR9upBtZ93R3nEXF7RBwK+DRxy8tqYFjB9h7AC6X2kdQEDCQZ5+Uc29PKek9Jk4DpwAkR8VZbe0S8kP5cDtxP8g17brFGxMsF8V0DHFjusT2sO+83hU6nxGWc13KU+n3yGLNbJWk/4H+AyRHxclt7QV7XArdS+dOkuxQRr0fEhnR9PtBb0hCqNK+prsZrZnmV1Juk0JsdEbcU2SWTMdvIxUypKdJbSE6v+D7Jt2/Ws4rmXdJgSVcBB0i6OJ/Q6lapsf4lYBLwCUmfyyOwOlZqnE9M77x1NTA/n9DMeAzYS9IoSc0kH4w6303xdqDtDnCfILnRQaTtU5TcrXMUsBfwaN7xSjoAuJqk0Ftb0D5I0o7p+hDgMOB3Oce6W8HmCSTX8gD8AjgqjXkQcFTallusabx7k9wk4qGCtqzzWo7bgdPTLzIPBtZHxBqyz+tWSRpO8nnztIh4pqC9n6QBbesksRa982RWJO2aXq+LpINIaoeXKXP8ZE3SQGAC8NOCtszzmubsWmBJRHynxG6ZjNmmbT2wDhSdIo2IN4Gzsg6mgZTK+8uAC47KKJXzmcDMrINpEKVyfj/JN+BmuYmIzZK+SPLhoRfJHRaflvR1YEFE3E7yIeUHkpaRzOhNSY99WtKPST7Ybwa+0OnUvrzi/RbQH/hJ+rl0VUScAOwDXC3pXZIPqd+IiIoVJWXGek56OvdmktyemR77iqTLST5EA3y902loecQKyY0u5qTFfptM8wog6WaSO0MOkbQauBTonf4uV5F8gXYcyU2DNpJ+lss6r2XG+lWSa2C/l47XzekpsUOBW9O2JuCmiLgz51g/AUyTtBn4MzAlHQtFx0/OsQL8I3BX+nm+TeZ5JfkC5DTgKUlPpG1fAYYXxJvJmFXH/3frV3px5M8iYt90+xDgsog4Ot2+GCAi/i2vGOuR85495zx7zrmZmZlVo0Y+jbMqp58bgPOePec8e865mZmZ5a4hir102vchYG9JqyWdnd5Kum36eQnw40pPPzca5z17znn2nHMzMzOrVg1zGqeZmZmZmVkjaYiZPTMzMzMzs0bjYs/MzMzMzKwOudgzMzMzMzOrQy72zMzMzMzM6pCLPTMzMzMzszrkYs/MzMzMzKwOudgzy4mkdyQ9UbBc1IOvPVLS4p56PTMzMzOrPU15B2DWwP4cEX+XdxBmZmZmVp88s2dWZSStlPRNSY+mywfS9hGS7pH0ZPpzeNo+VNKtkhaly6HpS/WSdI2kpyXdJalPbr+UmZmZmWXOxZ5Zfvp0Oo3z5IK+1yPiIOC7wBVp23eBGyNiP2A2MDNtnwn8KiL2B8YBT6ftewFXRsRY4DXgpAr/PmZmZmZWRRQRecdg1pAkbYiI/kXaVwJ/HxHLJfUGXoyIwZJeAnaLiLfT9jURMUTSOmCPiHir4DVGAndHxF7p9oVA74j418r/ZmZmZmZWDTyzZ1adosR6qX2Keatg/R18ja6ZmZlZQ3GxZ1adTi74+VC6/iAwJV1vAR5I1+8BpgFI6iVpp6yCNDMzM7Pq5W/6zfLTR9ITBdt3RkTb4xd2lPQIyRcyp6Rt5wDXSfoysA44K20/F2iVdDbJDN40YE3FozczMzOzquZr9syqTHrN3viIeCnvWMzMzMysdvk0TjMzMzMzszrkmT0zMzMzM7M65Jk9MzMzMzOzOuRiz8zMzMzMrA652DMzMzMzM6tDLvbMzMzMzMzqkIs9MzMzMzOzOuRiz8zMzMzMrA79P89yBCb9yqeDAAAAAElFTkSuQmCC\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=[15,6])\n",
"plt.subplot(1,2,1)\n",
"plt.loglog(history_2_of_l1.history['loss'],'b',label='train')\n",
"plt.loglog(history_2_of_l1.history['val_loss'],'r', label='val')\n",
"plt.legend(loc='upper right')\n",
"\n",
"plt.title('Model loss')\n",
"plt.ylabel('Loss')\n",
"plt.xlabel('Epoch')\n",
"\n",
"plt.subplot(1,2,2)\n",
"e_hat_2_of_l1 = model_2_of_l1.predict(w2)\n",
"\n",
"# plot the prediction and the ground truth\n",
"plt.plot(w2,e2,'ob',label='Train')\n",
"plt.plot(wTest2,eTest2,'or',label='Test')\n",
"plt.plot(w2,e2_clean,'-k',label='Real', linewidth=2)\n",
"plt.plot(w2, e_hat_2_of_l1,'g', label='FFNN' , linewidth=2,)\n",
"\n",
"plt.legend()\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### $L_2$ Regularizer"
]
},
{
"cell_type": "code",
"execution_count": 80,
"metadata": {},
"outputs": [],
"source": [
"kernel_weight = 0.003\n",
"bias_weight = 0.003\n",
"\n",
"model_2_of_l2 = models.Sequential(name='noiseLorentzModel_l2')\n",
"\n",
"# first hidden layer \n",
"model_2_of_l2.add(layers.Dense(n_neurons+100, activation='tanh', input_shape=(1,)))\n",
"# second hidden layer \n",
"model_2_of_l2.add(layers.Dense(n_neurons+100, activation='tanh', kernel_regularizer=tf.keras.regularizers.l2(kernel_weight), \n",
" bias_regularizer=tf.keras.regularizers.l2(bias_weight) ))\n",
"# output layer, one neuron \n",
"model_2_of_l2.add(layers.Dense(1, activation='linear'))\n",
"\n",
"sgd = optimizers.SGD(lr=0.01,momentum=0.9) \n",
"model_2_of_l2.compile(loss='MSE',optimizer=sgd) \n",
"history_2_of_l2 = model_2_of_l2.fit(w2, e2, validation_data=(wTest2,eTest2), epochs=5000, batch_size=32, verbose=0)"
]
},
{
"cell_type": "code",
"execution_count": 95,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 95,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=[15,6])\n",
"plt.subplot(1,2,1)\n",
"plt.loglog(history_2_of_l2.history['loss'],'b',label='train')\n",
"plt.loglog(history_2_of_l2.history['val_loss'],'r', label='val')\n",
"plt.legend(loc='upper right')\n",
"\n",
"plt.title('Model loss')\n",
"plt.ylabel('Loss')\n",
"plt.xlabel('Epoch')\n",
"\n",
"plt.subplot(1,2,2)\n",
"e_hat_2_of_l2 = model_2_of_l2.predict(w2)\n",
"\n",
"# plot the prediction and the ground truth\n",
"plt.plot(w2,e2,'ob',label='Train')\n",
"plt.plot(wTest2,eTest2,'or',label='Test')\n",
"plt.plot(w2,e2_clean,'-k',label='Real', linewidth=2)\n",
"plt.plot(w2, e_hat_2_of_l2,'g', label='FFNN' , linewidth=2,)\n",
"\n",
"plt.legend()\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Underfitting through Regularization"
]
},
{
"cell_type": "code",
"execution_count": 83,
"metadata": {},
"outputs": [],
"source": [
"kernel_weight = 1\n",
"bias_weight = 1\n",
"\n",
"model_2_of_l2_uf = models.Sequential(name='noiseLorentzModel_l2_uf')\n",
"\n",
"# first hidden layer \n",
"model_2_of_l2_uf.add(layers.Dense(n_neurons+100, activation='tanh', input_shape=(1,)))\n",
"# second hidden layer \n",
"model_2_of_l2_uf.add(layers.Dense(n_neurons+100, activation='tanh', kernel_regularizer=tf.keras.regularizers.l2(kernel_weight), \n",
" bias_regularizer=tf.keras.regularizers.l2(bias_weight) ))\n",
"# output layer, one neuron \n",
"model_2_of_l2_uf.add(layers.Dense(1, activation='linear'))\n",
"\n",
"sgd = optimizers.SGD(lr=0.01,momentum=0.9, ) \n",
"model_2_of_l2_uf.compile(loss='MSE',optimizer=sgd) \n",
"history_2_of_l2_uf = model_2_of_l2_uf.fit(w2, e2, validation_data=(wTest2,eTest2), epochs=5000, batch_size=32, verbose=0)"
]
},
{
"cell_type": "code",
"execution_count": 96,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 96,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=[15,6])\n",
"plt.subplot(1,2,1)\n",
"plt.loglog(history_2_of_l2_uf.history['loss'],'b',label='train')\n",
"plt.loglog(history_2_of_l2_uf.history['val_loss'],'r', label='val')\n",
"plt.legend(loc='upper right')\n",
"\n",
"plt.title('Model loss')\n",
"plt.ylabel('Loss')\n",
"plt.xlabel('Epoch')\n",
"\n",
"plt.subplot(1,2,2)\n",
"e_hat_2_of_l2_uf = model_2_of_l2_uf.predict(w2)\n",
"\n",
"# plot the prediction and the ground truth\n",
"plt.plot(w2,e2,'ob',label='Train')\n",
"plt.plot(wTest2,eTest2,'or',label='Test')\n",
"plt.plot(w2,e2_clean,'-k',label='Real', linewidth=2)\n",
"plt.plot(w2, e_hat_2_of_l2_uf,'g', label='FFNN' , linewidth=2,)\n",
"\n",
"plt.legend()\n"
]
},
{
"cell_type": "code",
"execution_count": 86,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
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" -3.07931236e-06, 3.92774746e-06, 4.16653438e-06,\n",
" 1.18414084e-06, -2.58007901e-07, -2.13642478e+00,\n",
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" -1.49550465e-06, 9.01490580e-07, -1.31065747e-06]], dtype=float32), array([ 3.7592869e-07, -1.6622209e-05, 1.5202757e-07, -1.6574100e-07,\n",
" 6.3095223e-07, -1.8708870e-06, 8.9435798e-06, 1.3588437e-06,\n",
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" -6.5374536e-08, 5.1187817e-06, -2.9956351e-07, 4.9140294e-07,\n",
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" -1.2373635e-05, -3.1928386e-07, -8.2347390e-07, 2.2653154e-07,\n",
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" -1.8943836e-05, 3.0992312e-06, 2.1532626e-06, 2.3174455e-06,\n",
" 1.4026092e-06, 3.6544457e-06, -3.6275023e-06, 2.8758509e-06,\n",
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" ...,\n",
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" [ 0.02810591]], dtype=float32), array([0.86910945], dtype=float32)]\n"
]
}
],
"source": [
"w_l1 = model_2_of_l2_uf.get_weights()\n",
"print(w_l1)\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Weight decay & clipping"
]
},
{
"cell_type": "code",
"execution_count": 88,
"metadata": {},
"outputs": [],
"source": [
"kernel_weight = 0.003\n",
"bias_weight = 0.003\n",
"\n",
"model_2_wd = models.Sequential(name='noiseLorentzModel_sgd_weightdecay')\n",
"\n",
"# first hidden layer \n",
"model_2_wd.add(layers.Dense(n_neurons+100, activation='tanh', input_shape=(1,)))\n",
"# second hidden layer \n",
"model_2_wd.add(layers.Dense(n_neurons+100, activation='tanh', kernel_regularizer=tf.keras.regularizers.l2(kernel_weight), \n",
" bias_regularizer=tf.keras.regularizers.l2(bias_weight) ))\n",
"# output layer, one neuron \n",
"model_2_wd.add(layers.Dense(1, activation='linear'))\n",
"\n",
"sgd = optimizers.SGD(lr=0.01,momentum=0.9, clipvalue=0.5, decay=1e-3)\n",
"model_2_wd.compile(loss='MSE',optimizer=sgd) \n",
"history_2_wd = model_2_wd.fit(w2, e2, validation_data=(wTest2,eTest2), epochs=5000, batch_size=32, verbose=0)\n"
]
},
{
"cell_type": "code",
"execution_count": 98,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"\n",
"plt.figure(figsize=[15,6])\n",
"plt.subplot(2,2,1)\n",
"plt.loglog(history_2_of_l2.history['loss'],'b',label='train')\n",
"plt.loglog(history_2_of_l2.history['val_loss'],'r', label='val')\n",
"plt.legend(loc='upper right')\n",
"\n",
"plt.title('Model loss')\n",
"plt.ylabel('Loss')\n",
"plt.xlabel('Epoch')\n",
"\n",
"plt.subplot(2,2,2)\n",
"e_hat_2_of_l2 = model_2_of_l2.predict(w2)\n",
"\n",
"plt.plot(w2,e2,'ob',label='Train')\n",
"plt.plot(wTest2,eTest2,'or',label='Test')\n",
"plt.plot(w2,e2_clean,'-k',label='Real', linewidth=2)\n",
"plt.plot(w2, e_hat_2_of_l2,'g', label='FFNN' , linewidth=2,)\n",
"\n",
"plt.legend()\n",
"\n",
"\n",
"plt.subplot(2,2,3)\n",
"plt.loglog(history_2_wd.history['loss'],'b',label='train')\n",
"plt.loglog(history_2_wd.history['val_loss'],'r', label='val')\n",
"plt.legend(loc='upper right')\n",
"\n",
"plt.title('Model loss (Weight decay)')\n",
"plt.ylabel('Loss')\n",
"plt.xlabel('Epoch')\n",
"\n",
"plt.subplot(2,2,4)\n",
"e_hat_2_wd = model_2_wd.predict(w2)\n",
"\n",
"# plot the prediction and the ground truth\n",
"plt.plot(w2,e2,'ob',label='Train')\n",
"plt.plot(wTest2,eTest2,'or',label='Test')\n",
"plt.plot(w2,e2_clean,'-k',label='Real', linewidth=2)\n",
"plt.plot(w2, e_hat_2_wd,'g', label='FFNN' , linewidth=2)\n",
"\n",
"plt.legend()\n",
"plt.tight_layout()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Explore the SGD solver\n",
"Exploration\n",
"\n",
"- Learning rate\n",
"- Momentum\n",
"- Number of minibatches\n",
"\n",
"\n"
]
},
{
"cell_type": "code",
"execution_count": 104,
"metadata": {},
"outputs": [],
"source": [
"kernel_weight = 0.003\n",
"bias_weight = 0.003\n",
"\n",
"model_3 = models.Sequential(name='noiseLorentzModel_sgd')\n",
"\n",
"# first hidden layer \n",
"model_3.add(layers.Dense(n_neurons, activation='tanh', input_shape=(1,)))\n",
"# second hidden layer \n",
"model_3.add(layers.Dense(n_neurons, activation='tanh', kernel_regularizer=tf.keras.regularizers.l2(kernel_weight), \n",
" bias_regularizer=tf.keras.regularizers.l2(bias_weight) ))\n",
"# output layer, one neuron \n",
"model_3.add(layers.Dense(1, activation='linear'))\n",
"\n",
"sgd = optimizers.SGD(lr=0.01,momentum=0.9)\n",
"model_3.compile(loss='MSE',optimizer=sgd) \n",
"history_3 = model_3.fit(w2, e2, validation_data=(wTest2,eTest2), epochs=2000, batch_size=32, verbose=0)"
]
},
{
"cell_type": "code",
"execution_count": 105,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 105,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=[15,6])\n",
"plt.subplot(1,2,1)\n",
"plt.loglog(history_3.history['loss'],'b',label='train')\n",
"plt.loglog(history_3.history['val_loss'],'r', label='val')\n",
"plt.legend(loc='upper right')\n",
"\n",
"plt.title('Model loss')\n",
"plt.ylabel('Loss')\n",
"plt.xlabel('Epoch')\n",
"\n",
"plt.subplot(1,2,2)\n",
"e_hat_3 = model_3.predict(w2)\n",
"\n",
"# plot the prediction and the ground truth\n",
"plt.plot(w2,e2,'ob',label='Train')\n",
"plt.plot(wTest2,eTest2,'or',label='Test')\n",
"plt.plot(w2,e2_clean,'-k',label='Real', linewidth=2)\n",
"plt.plot(w2, e_hat_3,'g', label='FFNN' , linewidth=2,)\n",
"\n",
"plt.legend()\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Learning Rate"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Too large learning rate"
]
},
{
"cell_type": "code",
"execution_count": 106,
"metadata": {},
"outputs": [],
"source": [
"kernel_weight = 0.003\n",
"bias_weight = 0.003\n",
"\n",
"model_3_lrL = models.Sequential(name='noiseLorentzModel_sgd_learningRate_Large')\n",
"\n",
"# first hidden layer \n",
"model_3_lrL.add(layers.Dense(n_neurons, activation='tanh', input_shape=(1,)))\n",
"# second hidden layer \n",
"model_3_lrL.add(layers.Dense(n_neurons, activation='tanh', kernel_regularizer=tf.keras.regularizers.l2(kernel_weight), \n",
" bias_regularizer=tf.keras.regularizers.l2(bias_weight) ))\n",
"# output layer, one neuron \n",
"model_3_lrL.add(layers.Dense(1, activation='linear'))\n",
"\n",
"sgd = optimizers.SGD(lr=0.07,momentum=0.9)\n",
"model_3_lrL.compile(loss='MSE',optimizer=sgd) \n",
"history_3_lrL = model_3_lrL.fit(w2, e2, validation_data=(wTest2,eTest2), epochs=2000, batch_size=32, verbose=0)"
]
},
{
"cell_type": "code",
"execution_count": 115,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=[15,6])\n",
"plt.subplot(2,2,1)\n",
"plt.loglog(history_3.history['loss'],'b',label='train')\n",
"plt.loglog(history_3.history['val_loss'],'r', label='val')\n",
"plt.legend(loc='upper right')\n",
"\n",
"plt.title('Model loss (lr 0.01)')\n",
"plt.ylabel('Loss')\n",
"plt.xlabel('Epoch')\n",
"\n",
"plt.subplot(2,2,2)\n",
"plt.plot(w2,e2,'ob',label='Train')\n",
"plt.plot(wTest2,eTest2,'or',label='Test')\n",
"plt.plot(w2,e2_clean,'-k',label='Real', linewidth=2)\n",
"plt.plot(w2, e_hat_3,'g', label='FFNN' , linewidth=2,)\n",
"\n",
"plt.legend()\n",
"\n",
"plt.subplot(2,2,3)\n",
"plt.loglog(history_3_lrL.history['loss'],'b',label='train')\n",
"plt.loglog(history_3_lrL.history['val_loss'],'r', label='val')\n",
"plt.legend(loc='upper right')\n",
"\n",
"plt.title('Model loss (lr 0.07)')\n",
"plt.ylabel('Loss')\n",
"plt.xlabel('Epoch')\n",
"\n",
"plt.subplot(2,2,4)\n",
"e_hat_3_lrL = model_3_lrL.predict(w2)\n",
"\n",
"# plot the prediction and the ground truth\n",
"plt.plot(w2,e2,'ob',label='Train')\n",
"plt.plot(wTest2,eTest2,'or',label='Test')\n",
"plt.plot(w2,e2_clean,'-k',label='Real', linewidth=2)\n",
"plt.plot(w2, e_hat_3_lrL,'g', label='FFNN' , linewidth=2)\n",
"\n",
"plt.legend()\n",
"plt.tight_layout()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Too small learning rate"
]
},
{
"cell_type": "code",
"execution_count": 108,
"metadata": {},
"outputs": [],
"source": [
"kernel_weight = 0.003\n",
"bias_weight = 0.003\n",
"\n",
"model_3_lrS = models.Sequential(name='noiseLorentzModel_sgd_learningRate_Small')\n",
"\n",
"# first hidden layer \n",
"model_3_lrS.add(layers.Dense(n_neurons, activation='tanh', input_shape=(1,)))\n",
"# second hidden layer \n",
"model_3_lrS.add(layers.Dense(n_neurons, activation='tanh', kernel_regularizer=tf.keras.regularizers.l2(kernel_weight), \n",
" bias_regularizer=tf.keras.regularizers.l2(bias_weight) ))\n",
"# output layer, one neuron \n",
"model_3_lrS.add(layers.Dense(1, activation='linear'))\n",
"\n",
"sgd = optimizers.SGD(lr=0.002,momentum=0.9)\n",
"model_3_lrS.compile(loss='MSE',optimizer=sgd) \n",
"history_3_lrS = model_3_lrS.fit(w2, e2, validation_data=(wTest2,eTest2), epochs=2000, batch_size=32, verbose=0)"
]
},
{
"cell_type": "code",
"execution_count": 116,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=[15,6])\n",
"plt.subplot(2,2,1)\n",
"plt.loglog(history_3.history['loss'],'b',label='train')\n",
"plt.loglog(history_3.history['val_loss'],'r', label='val')\n",
"plt.legend(loc='upper right')\n",
"\n",
"plt.title('Model loss (lr 0.01)')\n",
"plt.ylabel('Loss')\n",
"plt.xlabel('Epoch')\n",
"\n",
"plt.subplot(2,2,2)\n",
"plt.plot(w2,e2,'ob',label='Train')\n",
"plt.plot(wTest2,eTest2,'or',label='Test')\n",
"plt.plot(w2,e2_clean,'-k',label='Real', linewidth=2)\n",
"plt.plot(w2, e_hat_3,'g', label='FFNN' , linewidth=2,)\n",
"\n",
"plt.legend()\n",
"\n",
"plt.subplot(2,2,3)\n",
"plt.loglog(history_3_lrS.history['loss'],'b',label='train')\n",
"plt.loglog(history_3_lrS.history['val_loss'],'r', label='val')\n",
"plt.legend(loc='upper right')\n",
"\n",
"plt.title('Model loss (lr 0.005)')\n",
"plt.ylabel('Loss')\n",
"plt.xlabel('Epoch')\n",
"\n",
"plt.subplot(2,2,4)\n",
"e_hat_3_lrS = model_3_lrS.predict(w2)\n",
"\n",
"# plot the prediction and the ground truth\n",
"plt.plot(w2,e2,'ob',label='Train')\n",
"plt.plot(wTest2,eTest2,'or',label='Test')\n",
"plt.plot(w2,e2_clean,'-k',label='Real', linewidth=2)\n",
"plt.plot(w2, e_hat_3_lrS,'g', label='FFNN' , linewidth=2)\n",
"\n",
"plt.legend()\n",
"plt.tight_layout()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Momentum"
]
},
{
"cell_type": "code",
"execution_count": 110,
"metadata": {},
"outputs": [],
"source": [
"kernel_weight = 0.003\n",
"bias_weight = 0.003\n",
"\n",
"model_3_mn = models.Sequential(name='noiseLorentzModel_sgd_momentum')\n",
"\n",
"# first hidden layer \n",
"model_3_mn.add(layers.Dense(n_neurons, activation='tanh', input_shape=(1,)))\n",
"# second hidden layer \n",
"model_3_mn.add(layers.Dense(n_neurons, activation='tanh', kernel_regularizer=tf.keras.regularizers.l2(kernel_weight), \n",
" bias_regularizer=tf.keras.regularizers.l2(bias_weight) ))\n",
"# output layer, one neuron \n",
"model_3_mn.add(layers.Dense(1, activation='linear'))\n",
"\n",
"sgd = optimizers.SGD(lr=0.01,momentum=0.5)\n",
"model_3_mn.compile(loss='MSE',optimizer=sgd) \n",
"history_3_mn = model_3_mn.fit(w2, e2, validation_data=(wTest2,eTest2), epochs=2000, batch_size=32, verbose=0)"
]
},
{
"cell_type": "code",
"execution_count": 117,
"metadata": {},
"outputs": [
{
"data": {
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ydOlS7rzzzugPTogO5Pj8XJaQ4ykVySKf58khJx94daERafT9z5uQYDTLEEJ0eO1RQtJiSqlpSqklZWVl7T0UIYRoNdrV81gReQmJOwPDYQsRwNi5E3r2NKbu7E6Ki6GbzWJ17LHHeoIXAIsXL2bs2LFMmjSJ3bt3szXAv4EhQ4aQnZ0NwIQJE9i1a1dbDbfTaOvpGYcNG8Yxxxzjeb1s2TLGjx/P+PHj+emnn9i0aVOjfeLj4zn77LMB+RxF9/FIgD4XiVTziNkVXVyyBAYPNppiDB5svG6NqKMQIupaNQOjtWitVwIrJ06ceE17j0UIIVqLw+bEQjMDGBYjA0PXhygheecdOHiQyoVPkvT3p5s5ytah6+p574IlZD9+Gf2PSonuwXv3dp0k8u9rIFrDzJlw441wwgmN14fKlGhknavx4sSJURmbW2Jiouf5mjVrWL16NV999RUJCQlMnTqV2traRvvExsZ6npvNZikhCWDQIKNsJNDy1uD7OW7dupVFixaxdu1a0tLSuPTSSwN+ju6+GWB8jna7lJWJrq+/I3AU0bN89mwJWAjRSXXKDAwhhOgOHDajSV9LMjCcITIwHFnDAFj72vZmjK4VvPoqjBsHwI6XPuPc93/P2pPvaHq/Bx+Ep55q5cEFV1EBb74J557bbkNoJDk5mYqKioDrysrK6NGjBwkJCWzevJmvv/66jUfXdfhPzwhtl4leXl5OcnIyKSkp7N27lw8++KD1TypEJ6EGN4wiOoAbFYxNs5AfKOoohOg0OmUGhhBCdActCWBok6sHRqgAhtmKGYi3dZByvDlzjK8OByazUT4zqGJj0/u5p7678cZWGlhoJhNM4it2OUYCUc4WaaaMjAyOP/54Ro0aRXx8PL3dWSfAWWedxbPPPsuYMWMYMWIEkyZNaseRdm7uG7jz5hllI4MGGcGLtrixO378eI4++mhGjRrF0KFDOf7441v/pEJ0Fgu9fS4cwBwTLLsMGGhj+rzprH1lLUqp9h6lEKIZJIAhhBAdVIsCGMpVQhJqFpINPwCQTOA79W3ObAaHA2pqsFiNPywtjvp2HlTTTLXVfMVxrKk9Gfgosp0PHoTERIiPj/q4XnvttYDLY2NjWbVqVcB17v4ImZmZbNzoDR7ddtttUR9fV9Gamejz58/3PB8+fDh5Pt1glVK88sorAff7/PPPPc9LS0s9z2fOnMnMmTOjP1AhOhrXf0r73XdzeUEBy04BsoxV6wav44nXnuDW2be22/CEEM0nJSRCCNFBtSyA4frx7giegRFzz+1ABwpguMdaXY3FZLx3tLP9xhMmZTOCLOOc6yPfedcu+FFmEhdCiGjTs2Zx2fHH89owYAqYMHGE9QiIgdu/u53t+zpI+aQQIiKdMoAhs5AIIbqDlgQwnK4Ahpmmp1Hty96Ij9+aSgprwOkOYLje+7598O677TeoENyfj3vWGCGEEO3v888/Z9nKZagLjZ/NC05ewHd/+I7Ew4k4kh2c8PQJ1Nnr2nmUQohIdcoAhtZ6pdY6JzU1tb2HIoQQrSYaJSQWmp5xIAYbtHRmgpoa2LGjZcdwqSx3oh2uAIbT9d7PPhvOOw/qO15JiXZKAEMIITqaLT9vgd+ATtCcMuQU7ppyF4mxibw9420og72Wvcx+VWYiEaKz6ZQBDCGE6A6cduMi3kTkZRTuDAyTbjoDA2h5YGDMGBg2rGXHcHHYvAEM5S4h2bPH+HroUFTOIYQQomv7ouALGAoJOoFXf/0qZldz6zOOO4NZpllgh+X5y/ks/7N2HqkQIhISwBBCiA6qyQyMykq47z6w2Rqt0viVkDid3rKMQAIcIyLbtrlOHHm2iD+HXXsCGNp9vMRE42tVVYuPL4QQouvbXmL0uBiVMIq+yX0brPvrH/9K3Po4AOa8MYf6TtAwWghhkACGEEJ0UE0GMBYsgPvvh5dearTKafIrIRk9OuRMF/bq6PzxtndXy+uJ7T4ZGO6ASK3DCkBVaYhASxSCJ82ipYRECCE6mj0VRubewLSBjdalpKRw9wl3wyHIr8nnsS8fa+vhCSGaSQIYQgjRAdXXQ3lpEwGM6mrja21to1XuDAxPCcmmTSHLRGrLww9g1NSAUrBoUeN1FftaniHhtGu0s2H5zP5DRgDju7Uhxrl4cYvP3SxdIICRlJTU3kMQLiUlJWRnZ5OdnU2fPn3o37+/53V9BKVeS5cuZd++fa04UiE6tpK6EgCG9x4ecP3c388l9TOjn96CNQvYeXhnm41NCNF8EsAQQogO6KKL4MUXmuhfoYJfMDtdTTyDzkLil61QUxb+hZG7DcUjjzRe56ioDvs4wfiWkHhm+LBYAKgtD5GBsXx5i88NRpxn//7wt5cmnt1cbi5kZYHJZHzNzW3R4TIyMsjLyyMvL4/rrruOuXPnel7HxMSEfRwJYIjuzOl0Uk45AEcNOCrgNklJSdw7+174Aeqcddzw3g3eskUhRIfVKQMYMo2qEKJVvfEGHHNM4JIEuz10L4ko+de/vNkHTc5CEmCc7hISc7BZSPxmHamrDL8HhlKQSmnA70M0SlEaNPF0BzDMRgZGfWWI40fpc5k5E/r0iXy/jhTAuOOOO3jmmWc8r+fPn8+CBQs49dRTGT9+PKNHj+add95pxxF2Ebm5kJMD+fnG/8P8fON1C4MYwbz00ksce+yxZGdnc/311+N0OrHb7cyZM4fRo0czatQoFi9ezBtvvEFeXh4XX3xxxJkbQnQF+/fvRycZvz+GZg4Nut3vfvc7kr/sCbWwatsqek1d3lr/fYUQUWJp7wE0h9Z6JbBy4sSJ17T3WIQQXdDMmcZXhwMsfj8mrVaYOhU+/rjVh9FkACNEBoY7pmH2m4WkpsbVCsPvgqauIvwLHHPRbkoZxH3VjwNzG6yz1UeniSeOhiUkTrPxOej64IEWp0NHJSpfuuIjbudb4I7wdmjqjt0tt0BeXuB1FRXG1+TkwK+Dyc6GJ58MunrmzJnccsstXH/99QC8+eabvP/++8ydO5eUlBQOHjzIpEmTOP/881Eh/h2JJsyb5y3lcquuNpbPju70jBs3bmTFihV8+eWXWCwWcnJyeP311xk2bBgHDx7khx9+AKC0tJS0tDT+8pe/8NRTT5GdnR3VcQjRGRQUFIDrx2i/5H6N1ufmGv9N8/MTgHtg9c1wHhyceDPX3HgGkBLt/8JCiCjplAEMt5ISePnl6B83Lg4GDYLBg6F3byMrVAjRDdlsjQMYAGvWtMnpfQMYTmeIn0WBLqBdZQ0mvxKSvXth6FCM4IyPSAIY1o3fAXBi3X9oaQBj82b4xS8avjenPUAGhiujxGkPXlazfauTIyI6e2AfcarrWZgBDJeOlIExbtw4iouLKSoq4sCBA/To0YO+ffsyd+5cPv30U0wmE3v27GH//v30aU66iTAUFES2vAVWr17Nt99+y8SJEwGoqalh4MCBnHnmmWzZsoWbb76Zc845hzPOOCPq5xais9m1a5cngOE/A4k7ccobe8yB9Q9D9l4YUMTAyRdx0uVbYE4BlemDuJuFPHVoNoMGwcKFUY9NCiEi1KkDGLt2weWXt+45YmK8wQz/x6BBMHCgcUNWCNEF1deHnLmjtTUZwAh159wV1LDohqUinp9XfuUWIUsz/E/rCirYA/wKiSSA8cMPMGYM/OlPcM893uVOR+MeGO736rQFLxOprIww+yNkVCgCTWVghMiUYN0646vrorTR6xaYPn06b731Fvv27WPmzJnk5uZy4MAB1q9fj9VqJSsri9oADWBFBAYNMspGAi2PMq01V155JX/6058arduwYQOrVq1i8eLFLF++nCVLlkT9/EJ0JpsLNoMZYp2xJFgTGqxrnDgVB/oBWHkVXAvbjvmQfd/DgCJIKsnnIXI4CCzLn01OjrGHBDGEaD+dOoAx+oga3l38Y9SPW11voaA0hR0lqWwviie/QJGfD++9B/79sJSCfv0CBzjcj8TEqA+xaykpMa5kKipg0iTo2bO9RyS6g8OH4YILjClIs7ICb2PzK1dow4u9s3mPhRhX9QodsJrFI8AFtLsRmX8Ghifxwi+AUVcVfg8MzzkCZBzYbeEHEdw3qb/80u+4Tu0ZnyeI4w5g2IMHMNzbhs3hiEoAw/3t70gZGGCUkVxzzTUcPHiQTz75hDfffJNevXphtVr5+OOPyQ904S0is3Ch/61cSEgwlkfZaaedxvTp07n55pvJzMykpKSEqqoq4uPjiYuL46KLLmLIkCFcd911ACQnJ1PhLkkSopvZvGcz9IAelh6N1gVOkPot7H8Gvl6P8zi47jz45nkwa0ikmgeZxzJmt1aFmBAiAp06gBGzdRMDzx7VKsce4X5isUBqqvHom4rjF6nUWFMpN6Vy2JnKwfpU9lanUngwlV1bU9lQksIaZypleB9x6YkMzlJBAxzp6aFvpHYZ9fVGvvgPP8CGDbBhA3rDBlRRUcPtRoyAE07wPrKyusk3SLSpjRvh009h7drwAxht2Dj4Pc71PHcHMCLiDJyB4end6Rf0sFfWhX1o76wbjdXXhR/AcP+3bhR/cQYqITECDTpECYlJNyOAESKFTn+zFvXLY5s8TJNNVtvJyJEjqaiooH///vTt25fZs2czbdo0Jk6cSHZ2NkceeWR7D7Hzc1/FzJtnXBW1Yo756NGjue+++zjttNNwOp1YrVaeffZZzGYzV111FVprlFI84poe6IorruDqq68mPj6etWvXRjSDiRCd3c6SndADesX3arQucOKUCXgS1pwAI2F9P3jqWLj5G9c+eKMerVAhJoSIQKcOYDB0KDz8cPSPa7NBeblxseL3MJeVkXRgJ0llZfQrKzO2a6LzveOwmeqKFMp+SOWQPZXD2ghs/EgqX2IEREw9UrFmppLQN5XkAan0yEolc1gqfY9MpdcRqZhTk1r9Il5ro/u/w+YkJsZ1Ov8rC9/XwZ6DkVWxYYMnWOHM24Da8hPKdfVkM8WwPfZo1tefxneMZgNjqCaB4/mCsws/45iX3yLxb38zDt2/P2rKFG9AY9QoaUwSwP/+B9u2wYWnl2P+37dw8CDExholENnZRkOXUNzbJ7X+v7UOwX1nsrw8+Db+AYzS0tYbTwgmnBFPsOHJwNDhZWDU14QfIWmUcVBY6F3njDyAEegEjUpIXP/nQ2VgqAgzMJw2B6a44Ot10d7wcip0x51G1d3YESAzM5Ovvvoq4HaVlZVtNaSuZ/bsVrsdO3/+/AavZ82axaxZsxpt99133zVaNmPGDGbMmNEq4xKio9tTvgeAgT0GNloXKHFKKdB6CufVJ/Dv96rhErjrNDhrG4wogQK8ZWGtUCEmhIhA5w5g9OgBF13UvmPQGiorAwY7fIMeya5H/7Iy7AfLsJUUoEvLMFeUEVNbhqnYCcXApsCncWCi2pJCXWwq9sQUtMmMcjqMixCH03iuneB0orTx2vjqRGnXc+3EpJ2YcDR4bsKJCSdmnFiI/j+KPeaBfOcYwwbO4wdG8wNjqBv4C4YdaeXII42Ei3OPNG6EfvnlFB777A6+/NxJ//qNTOFzTj/4GSf+6zMy3njD+JanpaF69waHA6fDibYZX512p3F31uFEOxxoFE6tXO/OeDi0yVimTdis8TjiEiE+AZWUiCklEWtqArGpccTYqrHWlGOuLsdcVYGqKIfKSnR8PI7kNGzxqdTGpVEVk0Z9TBKJSSYSkxQJSSZMZmV8LhUV6PIKbIcrsB+uAGVCZaZjyeyBpVc6KjnJuB1eX2886uq8zwM8dF09NeX11JbX44xLIPnogcQOG0h9TBLrVh1g74YDjGArsBECXMjVjppA9bEnkzpyAOa+vSAuDocT7D9sJubtZSj3hY7FYpTynH8+DBliXDgqZTyKimDrVmMqC629D4CMDDj5ZCOw6HTC998b9fw//ggjR8KUKdC3Lxx5pHeGBbsdXnjB2Hb6dGP/tgqeNCeA0U5TN5txBM7ACPW9CtLE05OB4V9CEkEA46qr4Z/gTcGYMsWzTjfVDyKAQBkY/iUk7vfqDmwEMqq+8UVcKPY6BzGhJvsI97104ACGEEJ0RwfrDgIwrOewRutCJU5d0eNB4rbcQu33UDMWLv0N/OeFeO52GmVhrVQhJoSIQOl/o8QAACAASURBVOcOYHQEShkXY8nJMGBA05sDVtfDQ2uoqvIEPKr3lnFgWxmHdpZRvruMqr3l1BWXYS8x1luLy4ymfpiNi0uzCWUyGV36zSaU2YSKMaHNZuO5yQQW47nJbEJZTCizGZPF9dxixmQ2YbIYD0wmbHaFzWZcv9XZXM/rod4G9fXGa//nvn+8V5DMtrjR1I8YTb+RPTyBivOOhCOOCN4XccoUuP12cDpN/PTTGD7/fAxvf349t36mIX8XU/icqZVfkFFTSp3NRL3TbAQmaPjV6ZpM0YQTq1kTY3USa3ESY3FitTixmp2YamswVVRhOVhNAgdIZBcJVGOihlISKSeFclKooDeV6ghqLElYbTWkUkoqZaSxlTRK6UGlcYccTRUas3KiMVGpkihzJlOB8TDhpAdbSecQPThMAjU4UdQRSz0xnq92FYPNFIPd71FWk0StMwYbVpKoZOC2Hxhseo9YZw1HkMGQtEycAwezaNev+aBiMva+g6ivqENVlnMCn3H2xlX8cuOTmPGWFJhdj6/UZP6b+BBOk5lMRzEnfL2a0Z/fHvAzqrcmYotLNq6PlQINdociqfYAVlfqspvDEkNZz+GkfvAfzH/+s/HPXSlIT8dp15gc9ajKSpzWGEx//asRwLjgAmMqIIvFOP455zSdPdIc7sBFuAEMreHxxwFwoqIyXWe4zDhCZ2CsXg0339xwWZAmnsECGLYIAhiN+ObiNiMDo1Gil1OjnYGbeCr/MhF7w/cXCXudg1BJ9TrCtBcJYAghRPurqKig1mL0rBree3jAbYIlTp321M18d9knfP/eCqyDYV1/OOGkM9n48WwGD5ZZSIToCDplAEMpNQ2YNnx44B9KnY5SRtp+UhL070/C0TD4VBgcZHO73djFbG7TUYbkdBr9DauqjJQ8q9W42d7cm+kmk3HTfuRIuPZaAEVh4RC++GIIX3wxh7o6SEsL/khNhZQUI1LeVLWJ02n0c9y/H3buhwMHjPdRU2O8l+pq43lNjfERZWQYfUsyMqAi3Xiv+/YZyQlFRcY0laWlxjaZmd6H2QybK4zr5fJyqK5wYLKaMZuNdUp5EzHq6ozvp/u5zQbDh8OECcajrAyWvQfvvatR2smjT5g58UTj/VxXDXWLYNMmI0mpRw9ITz+RHT3mscPpZNu6Uoq+209ybD2DB0NMv0wKHP0pLTUuJPcA3wMplUU4Dhyi5ICT+FgnPTOcrCvswwcb+qJtDT/YAQNg9NAqTkv4EnvRfnZsc7K2ehQb7aOw7Y0hiQqO4if6UcQYvYE+JftxotDKxGpO5UPbGVypXuSRL+4l6eOPG35AFotRAnPqqXDZZXD00c37R+Uv0gyMrVvBlQVURSKWmraboKTJDIx//7vRKndMoFEGhk0DqlHUwFbT/EBAg/NGoYREaSOzDHx6YLhCRo0CGC2YbcFRHzpos3GDZuz0po8TLFHD3ZOgK2tOxo0QQrSmgoICSDGeD0hp+uair9mzoa7uVa69dhy2FT/Db+HHk/7Fly99xeSBk6M/WCFExDplAENrvRJYOXHixGvaeyztIehMBO3IZDKCBQkJTW/bXAMGwMUXG49oMpmMYERGRvSujcPTsgjUL38JCxaoRsdJSIC77gq2lwl+mw6kh3GGfq5HQ2VlRh+FpCTvMqM3XCJwOmAEhbZsMQI5AwfCoUPJOJ3HMmQIvPnmBezeDcOGwc8/w9RMuHo4fPTR9fR79hqslNMjrhZ7rY0eqoxber3BaaVf0u+xx1CPPALTpsE118DZZzfvP8OBA3DokDeAEaosxDeA4XOnv4pEqvca1TJtockMjEDcJST+PTBsTsDcOAOjtgUZGD4iCWB49vHfRWtPrwv/Jp4XvvpreMVnhxaU9bgDGOvXG/8e09Iart+x3cnYcA4U4CI+Li6OkpISMjIyumwQQ2tNSUkJcXEhGokIIUQbKygoAFd5YL/kxn/HNOXKKxMYMyaXyZMnY//Cjp7iZM6KOfzv2v+REpsS5dEKISLVAS+FhRAdWWpq09uYTHDUUd7XvtVV1wQJO06bBg88YMVsziAuzmhI+sorsGjlWH77HWRwkDviFnPdf58jeeVKY+aQp56Cc88NfMBgRo2C4mK49VbjdbgZGHXeWTqqSGRvUdsGMCLugRGkhMRRZydQAMNpCz+A4c2KCHra8I4TooQk9xUn9/uci1Yoz3BP+TpxohEQ/Pprv/GFO6tJgB4YAwYMoLCwkAMHDoTe96BRp81PPwV+3cHFxcUxIIzySSGEaCv5+fktCmAATJw4kfvuu49759+L5UgL29nO5f+8nOUzlmNS0kheiPYkAQwhRIeRmOh9Pnw4LFhgPPLyYMOGTP797/u5+x/3cv2gf/OI6R7izjsPfv97+POfjRlUwlFcbHwNp4Skvj7g81riaMtJG5oTwPDMQuJXQuKotQGxjWdPinieVqi3NT5/tEpISg4a43MHBXQrZDHEP3IfvPIcAN98E2gczW/iabVaGTJkSNP7utO+3Ofyfy0ippTaBVQADsCutZ7YviMSQrSlXQW7jKRQoE9Sn2Yf58477+S9997jq9e+wnqDlX9u/icPfvYg95x4T3QGKoRoFgkhCiE6vOxso/3Fm2/CylVW3qz/Nen53/HJuFvgL3+BE0/0BiTCtXev8dU/gOF7YR8gA6OYnoxkE5lr3mrGO2meZpWQuC6AzX4lJM56e4P1ns0jCGCogLkXDc8biUAZGO7ZRzxBgVa445X46hJ0ZRV2zPyG5U0PrAnSxLNDOVlrnd1Zgxdms5ns7GxGjRrFtGnTKG3BFM5ZWVkcdGf2CNENbCncAiZIMaVgNVub3iEIi8XCK6+8QlJ9ErZlNhSKP378R979+d0ojlYIESkJYAghOpWzzoIffoA5V8Vwct4T5PT4B3r9erj88oiyCJzbdxhP/AIYuqbW+yJAAKPKdVtn4iNtN4VzS6ZRNfuXkNS63pNfREQ1YzaPQBfszcnACDSNqn8AI/3w9ojHFw69cxdmnNzPHxuPL8wSkub0/RAilPj4ePLy8ti4cSPp6ek8/fTT7T0kITqNnSU7AegV36vFxxo2bBh/+9vfYBvo/2o0mllvz+Lnkp/JzTWqWU0m42tubotPJ4QIgwQwhBCdTmYmPPccfPEFvFgxnWXjH4UVK2D6dKNzaBjqtxh/4PgHMFYtr/a+CBHAAIypYtpAwAwMmw3+9a/gOwUpIfGMOQolJAFPG4USErRfBsaKFfQ8tMWzOuJslGZqSQ8M0a408KFSar1SKsd/pVIqRym1Tim1rskeJR3A5MmT2bNnj+f1n//8Z4455hjGjBnDfffd51l+wQUXMGHCBEaOHMmSFszOI0Rnt6fM+P8yMG1gVI538cUX88ADD8BnoDabKK8rZ8T953DpdfvIzzd+BeTnQ05O8CCGBDuEiB4JYAghOq3Jk2HuXJj97S081HcReuVKGDfOmGWkCXHOGuOJXwCjpKDK+6KpAMa+fc0at9bw8svhT6ARMANjwQKj02mok9B4FhJP8w7/tIcoBTAiLbvI5EDTGRjffee/OmpCDldKSDqr47XW44GzgRuUUif6rtRaL9FaT9RaT+zZs2fIAymlWuURLofDwX//+1/OP/98AD788EO2bt3K2rVrycvLY/369Xz66acALF26lPXr17Nu3ToWL15MSUlJZN81IboAu91OSb3xb39IZhh9iMJ09913c8IJv0W/7YQiC6Rvh0vPhDjvTZPqapg3r/G+ublGcCPcYEdXI8EbEW0SwBBCdGoPPghLl8K9xTfx53PXQGEh3HILXHmlkZHRlIoK2LTJ09zTUh8kA8PVxLNBAMPdRyNCX3wBd15exG23hnclHjADY8eOkPvoILOQUOUK0LQgA8PdA+NXvNP4vBFkYGR+8y4H6EX2oY/8DuKXgeEXSGgw9Eh7n0QgZK8P0WFprYtcX4uBFcCx7TuiyNXU1JCdnU1GRgaHDh3i9NONKao//PBDPvzwQ8aNG8f48ePZvHkzW7duBWDx4sWMHTuWSZMmsXv3bs9yIbqToqIidJLxsztaGRhgBDPz85+D+lPgVTsctEKfDTDrPLB6/24oKDC++l60X365EdzwFSzY0dV09+CNaB0SwBBCdGoWC1xxhRGzuONfU/j29LuM+VdffBGWL28YhAhEaxg5Es4+2zieTwDjT3809n3+efjtLCMDo5Ik774RBDBeeMHo3QFQ/tE6iujPMT8sDWtfC/bG8YWmsgOCZGCoKlcGhn8PDGfkAQwzAQIwEWQtJOX/CMCkkoYN0Ro18fQ7ZoPvxUMPhX2+QNyHblGwQmYM6TCUUolKqWT3c+AMYGNzj6e1bpVHU9w9MPLz86mvr/f0wNBac9ddd5GXl0deXh7btm3jqquuYs2aNaxevZqvvvqK77//nnHjxlHbRiVuQnQk0ZhCNZjdu2O4kIsZUx0DL9swlQGDvoAZF4LF+P82aFDji/Zg9wfcwY6ubN687hu8Ea2nUwYwlFLTlFJLysLNvxZCdHkPPgjTpsHxq+6hbNBo74off/Q8ddgbXjhUjhjvfbHF6LEQU+e9o79jSz2UlfHIIxBLgBKSoqKg49HamNl10SLA6eTWq8sYM8ZY1/+DFwAYYAqyv98FTsASkiYugtyrGwUwqgNnYChH+E08Q13sD/nm9bCPo01m1xMN//uf9/jaGX4GRktFYXpWd9ZJm5aQ5OTAa6+13fk6j97A50qp74G1wLta6/fbeUzNlpqayuLFi3n00Uex2WyceeaZLF26lEpXKdiePXsoLi6mrKyMHj16kJCQwObNm/n666/beeRCtI+CggJIMZ5HO4BxY3ouLzGXz6hnSjk4XwZVBRzxPsw6l/i0ChYuDHzRHsigQVEdXocULEjTHYI3ovV0ygCG1nql1jonNTW1vYcihOggYmKMaVYnTIphXMlqql58E4DKT9d7/pAo3FrTYJ+bttxACenGi2ONLHNrXaVn/Y08BWlpDKzbFjiA4So7CcRuN6pObrkFuOMOykgjEePY1mJXQ77evQPv7HeFnkg1R1yUHfRcAXkyMBoGJkzVLe+BESqAMeY/j4V9nAbX+x9/7HmqmyohcUQv4yFkyUu4mRXt0cTz+edh9uy2O18nobXeobUe63qM1FovbO8xtdS4ceMYO3Ysr7/+OmeccQazZs1i8uTJjB49munTp1NRUcFZZ52F3W5nzJgx3HvvvUyaNKm9hy1Eu/DNwOif3D+qx36QeSRSTQrwPnB6CeiXQFUAQz+izx2ncMYFB8K6OE9IgIWd/qdT04IFabpD8Ea0Hkt7D0AIIaIlLg6efhomTOjF3w5fyA0Jybx883q+//EqnnsOdv5QyWCf7V9nJiuZxjf8kqE1RnDDUuvNwJiAkRUws+w5tmFMx9YggFHpDXb4861c0bm5KCCVMiCJ+jrjgjfOGiRoECDFIP7n7xsuaOri2hmkiWewWUgiKCEZy/dNbxSWIBf8jtAZGEYmTVsECzpwAEN0aZV+P1tWrlzpeX7zzTdz8803N9pn1apVAY+1a9euqI5NiI6soKAAXPc3o52BkXTIG5lIBFYCs4rh7aXAHNiZvo4TXjyBfkd9wJ5NgxvtbzYbv3oHDTKCF90hBr1woZEw6JuR0l2CN6L1dMoMDCGECGb8eGN2kgV/MvFR7XGcy7t8+uY+mDqVmv98DkD+sJOZwRvUkMBBepJHticYYa5q3BTy+NrVxBCgiWeIBpKm+X/0XtCajB+17otyT6zAHqRsI5waCb+Lev9MAu0bwHjhBe+hHc6A51DhZmDs3cs8Hgxv2ya4Mzn8wwSKVsjAKC4OOO2LDlFCoqS3hRBCdCo7d++EBDBhomdi6FmGIuaXNhAL/AO435kKS4F9sKVkC+UzJxJ7ZMPm1AkJ8NJLxq/eXbu6R/ACjPe5ZAkMHmxUbA4ebLzuLu+/OWTWlqZJAEMI0eU8/7xREfL1uOsZTAEbSgfCJ58w4oPFABRfdCP/YAZglJ5UqyRPMEJVNg5KDLZv95SQVJPgXREiAyPuz3/yPHcHMnYzCBYs8Fywa3v4GRhNcdga7uO+yDc77XD11d4V7nP6naNHVWF4JyotbXqb98NsOaAaPQGM4IsV3xSWKPTA6N0bBkavI70QQoiOp6jc6C2VGZeJSUX5MmfhQiMS4cOUkMC9Tz/Ne2++R+qKVNgOFc6D1F98Omnn/j9QuttftM+ebQRtukPwprnBB/d+SsGcOTJrS1MkgCGE6HJGjjSuof+49jxKh0/AipHpkFhqXKTH9/TOJHL33VCmk9HuAEZV46BEsq5gAIXUm2KxYfWuCGMKT4XTk4EBwPz5nvISHSzroRkZGI0CGO4MDBqew2l3Btz/9G1/bfqcQTj9SydcM7qEq1Gig9PpyXhRaAoLo9QDI9Dn5TrU0fzU9LiCkRISIYToEErqSwDok9gn+gcPkU5w9tln891X33Hsz8fCp6CVk9Jj7uDcl6axflNJl75oF4bmThnrux80/ttDZm1pTAIYQoiuy2Si+oPPmcEbHOg3lt4V2wGI7+UNYMTHQwXJ3hKS6gqqifesr07IAGAkP1JHLHbf1kEhMjDcrNgaXNjasHDwgOu3U0syMJoIYGjXRb7Jr7eFDlJC0hKmZk5BGrREQ+sGAYz8XQ1X+88m0xKhghRhT60qAQwhhOgQypxGqeDA1FbKuAuRTvDll0PYt/dL+OgxeD0GauHdHe8y5NEhvLXxLc92rVEiIGUH7a+5U8aGM2uNzNrSkAQwhBBdWr+hcXzedwb/S5nqWZbUy9vHwh3AUPX1UF+PpaaCclKwY0zxWTDgeMAIYNQTE3EAw4Id3xKJBiUoLcnA8BMsA8PsNwuJDlJCUmVJafokH38Mn34a8diCCdp+QjfMwBi6Y3WD1dGchSQUpQN/DnV1xgwzHhLAEEKIdudwOKg2G1eCg9MbN9FsTbm5sPqKXD4pGIaD2/h4cyaZS4bBLqjQFVy0/CJOXHQiz7xU3Ky79E2dO9rHbM4YunsApblTxoYTnJBZWxqSAIYQosubMAG+Kjva8zq5rzcDIyEBKnG9rqjAUltBBcmeUpHd6WMBSKKKGmfkJSRWbGifEpIGTUCjWEKS3DsBfv9772p3BoYOUkLic47l/Iad9oENZk4J6JRT4LrrGg+3hRfujUtINNfjLWnpu++7hqujOY1qMw4VF2dkDrfoIEIIIaKqtLTUO4VqSnSnUG3KNzfn8pQthyzyMaGZShE7DxVx1ls3kbk2E+rhs9LPuGFzP6qzfwtm77TuLS0RaO6d/2jpCAGUjqC5U8Y2tT7cWVu6UxBJAhhCiC5v4kR4fe+JntfxPZNIS4NFi3xKSAAqKoipraCSJE+gojB2mGe/ZpeQ+DQSqyTJW5oQxVlIAHjqKe/qYNOouoMmPvvbsGLF1jCroI2V+8aCfN5/oDKONsvACFFCsm+fz4tOkIHxwANGc1vROZjNZrKzsz2PXbt2sWbNGlJTUz3LTjvtNADmz59PQkICxcXFnv2TkrxBWqUUf/jDHzyvH330UebPn99m70WItnLo0CFwJRNGewrVptxaMo9EGkYRkqjhr5XvsGfFHu7NvBdrvhXiHHDGS3BjKoy8novUC+wkix35zez6aDKxJj+LS2i8X1uVHbR3AKWjCNDjNazgQ6D93Bmq4TaA7W5BJAlgCCG6vAkTYAtHcjcLKe85DJXeg8OH4aab/AIYlZVY6ysbZGDsqO3n6YlRRyxmi/fHpg4jA8OCvcGFbRWJmN2NNaOYgeHP3eqiUQmJXw+Mfx97vyeAEcW2GGFx/4LWKBr2TvW+t9YOYIT8NkaYWdGRAxj33mv8MSM6h/j4ePLy8jyPrKwsAE444QTPstWrvaVVmZmZPPbYYwGPFRsby9tvv83BgwfbYuhCtJvXXjuEO6Hyjuv7tunF2yACRwsGUUBMTAz3z72fw385TNKKa6HYAj1scNFfWX791fxubD6bTc3s+qg1WeTzPDmNghhtVXbQ3NKJrqa5U8YG2u+VV4w/QcKdtaW7BZEkgCGE6PImTza+PsTdfP73bcbcqS7x8Q1LSGLrGpaQbC3v7Qlw1BFLQqw36KArKln4QOiLXP8MjCoSXX0xaFEAo6lra3cJicK/uWfDAMaOflOwYcWCPWhCSFMDafaFu8+baPB+nG0XwIgG7exY4xHdz5VXXskbb7xh3IH2Y7FYyMnJ4YknnmiHkQnRNnJz4aGHDuHuwV28K7NN70BXZwSOFvguT0xM5Nn/e5a4v5fBysuxloKzJ7z/axh5EwydDI/pag7deWfokwW4Wk2kmgfxXq2GW3YQDc0tnYiWSEon/Lf9/Pro1l00d8rYlk41292CSJamN+l4lFLTgGnDhw9v76EIITqBjAx45x247TYYO7bhOt8MjMNPv8bwsvWsZ4YngLHxYB8qSKY3xdQTQ3ysE6qMfU1ovlhdA/f45f75sGLDqRs28bTiajbRggCG06FdbUYDc19UO+r9ZiHxb+JpMmHHghVb8wIYS5dipnmpG54MDO33lpsoIWmrWUjCzsCQHhhdllrQOlk1+r7Q/2ZqamrIzs4GYMiQIaxYsQKAzz77zLP8oosuYp7r9lpSUhJXXnklixYtYsGCBY2Od8MNNzBmzBhuv/32aL4NITqMefOgru4QxLkW1KZ57kC3xRSmSYsWYr8yB0u9N7Bgj0kgaVHDKIIxlgTmzfs7mxe/xEOjYdEJUJYJO8+E206F/9tUiM46jvTKK3ngT7/id7/r2fBkQa5KB1GAUkbgYOHCtnnfYJwrJ6dhTKW1Ayi5ucZnm59v/C3h/jXsTmKBxu/fnbjiHudx+bmM+2sOuEt/Qu3cwQ0a5J2G1X95V9QpMzC01iu11jmpqantPRQhRCdx/vnw88/Q36+vl28Ao0eu0UNiCDupJwYHJn46kOHJ0KgjlriYhhfr5qrykOe1YG8QwIhaBkYTd/09PTD8MzDcx3b3bVAmTwlJsOGEdPXVzdipsYYxgI6RgWExhRmY8e+BUVgoDSdEi/iWkLiDF9CwhGSeX27wTTfdxEsvvUR5eeOfSSkpKVx22WUsXry41ccuRHswrukbBjC8y9vA7NlYljasA7AsDVw/4L7bHjdwMAu+h5Kn4bVlMGYrYAY9BrjiKw5ddg3X/7MXgydn88ADD/D1119jt9uDXpWaBg/y3MGHtmvoGEnpRFjZEk1s5FtBA43vIQQrnfBPXHmQxn1LOmvdRXP7b3RWnTIDQwghoiU+Hg6R7nldp2J5VN/G/fyRQ+aeOB1mT4CjhnhPCUkh/RnAHpLL9wB9gh7fig2H9saKHZi9PTCc3ojB/ffDTz/BsmWEl4ER5Bp+/wd59D4zO2gAgwAZGO4SklrfDAynE554wph1JDGR1uD+o6O6GhYt0jzqWq6ayMCIZslGqCNZwv0N6R/AOOMM48P8zW+M9J9WdvrpxlhXrWr1U3U7TWVKdCRpaWnMmjWLZ555JuD6W265hfHjx3PFFVe08ciEaH2DBkF+QYk3gFGX6lneZmbPjuzOvSt1wVxdzSVb4JIt8GNaHL8ZfyI/j/0WUg/DcVDA99x76HvuXXgv8bvjOannEZxZZOUUm41RuO5G+1yt+mcatGpigSsVYnZBAbMHDYJXgqd+hDWuMDYK1O/BX36+Ef/wzUbxD2YF61sSraiXO0ukoKD1smJ8z5Ge7vqb9lDbZ+G0tU6ZgSGEENESHw+FDOQCVnBf3CNMGlXFP1wlJKWxvQFvj4xiehHrysDYjjE7SWbFTuNAjz0GH37Y6Pj+JSQW7J4MDOVTs3HfffD6664Xrgv4dUzge8Z4tvnOZzZRHSQLofdZ41yHMNZ7giWe/fymUVXKU0LSIANj+XKj5uauuwKep0mBchmDKC1vmKavm+qBEWnFSsjUkuAlAokJkZWQeAIYBw4YX9uoK2rR6h/Z/v7PEe1jtwefBEd0XrfeeivPPfeccZfWT3p6OjNmzOCFF15oh5EJ0boWLgRz/H7jR3pdLDgtHf8OtCt1oTJjME4UuxjMwtK/8fNHH8CTB+GFL+Cba6EiDVKBiVDz6xreP3sDcy+1MfZkSB8K56TG8cA55/Bhz54cOnSo7Ro6Rjj1RVjjCmOjcOML/kPyD2YV0HrNO9piVhD/c5SUQE2N0QC0OX00OhMJYAghurV4V8Ovd7iA+2tvp7rO6CxRRSJlSUa9iTuAsY8+nhKSbRg9eHpX7zAOcNttcOaZjY5vwd4gA8OCPWAGRgOuC+6/8Hv+zP95Fp90gveC2NlUFkKwDAz/aVRNJgYNtTbugeH+A6K0NPR5ghk3rnn7AUo7OYyR/huVHhhVVUFXhcrmSEluZgCjjf3IKH5mRMhtzucdfsnXnte9ekFmZmuPTLS1zMxMfv3rX1NXVxdw/R/+8AeZjUR0SbNnw7jJrqmEaxPDngGiTYQoichlNr1rdmHGyRB2sQzXgLUJdh8Hq56Fx0vguXXw8QJUUTaYFAwGToKyy2DV3Fru7fMWZy45k4zzMshX/SF2OvA48F9gP6CjWk6TmwuFl0cWKQmr0WQYG0UaX6iuhksvhcrKBj3cuZuFVNGw7sIeE52oV6A4zK+qcznp8qyo1fV0t5lHfEkJiRCiW3MHMNzcN8+v5xnOmRIPb3uzGPbSlz5mIyBQShql5nT61uwE34uFZ56BHTs8L/1LSBpkYDTRA8OJCYdPq05nnQ2IBUA3cXM/aA8Mh5MlS8D8oZOrMHpgHDXWSswOG3abxpOR4NthszkOH256Gx0k00Jrz+tAAYzYLRtgypTmjcvPJ5/AuUHWBTp3KCPZZNz+6IDe4QLXM+M9hfPxiPZTWVnZaNnUqVOZOnVqo+Xz589v8Prxxx/n8ccfD3is3r17U91U7rUQnVR8D+MX+ODeyZ4+EO2uiZKIcMoh0CbYOwH2TkB/8keIK6XnxM+YeOHH7Db/h58O/YQj0wGZCzTVWQAAIABJREFUwGiAImA5lCyHA0AJUJKIpXwYV/x+PBOPnMioUaMYMWIEvXv3RqnIgu/ut1ThiKwEI6xGk2FsFKhpqG8jz2BKSsBqNSo7S0rwBIseZB6DKKCAQTyevJDFUYh6+X8LLiGX58kh0RG9up7uNvOIL8nAEEJ0a/4BDPeF3XeMp27oUQCkmIw7+Pvo44kcODGxP2k4Q21boLjYe4AbbjDKSVys2HA4vX8cmHF4m3j6ZGAonN4pT4MEMLDbPE+b28QTp5Nrr4W3l3t7YChXsweHzWfblgYwwuA+tH/mwuafvAGMAexptF/Kp/9u3okCqKkN/odb2L02fI6/6a1NYQ9LCCFE9ByqNqYRTo3tQE3+m7hNHupi8xJy2UkWDkzsJItLcN2xr03jwOfT+GTe49yZ/gPV91SzPmc9S85bwjXjrqG/Ggl2C2QARwLHA+dXYbt0A3/P/Ds37rmRqa9Npe8tfYn9VSz9L+rPpAuGM+eoRB5JU7xu6c2v1JMMHmwLmCTgfkuRlmCE1WgyjI0CNQ399Lpc9OAA3ys/NhskJXn/xFnGbIbgzYB56lALgxeubBu7bjiOljQMDZbA097T17YnCWAIIbq1uLjGy554wrgmTTIqR0gxG3cw99Ob//a/nHVMYDE3UdR7HNn6fziK9gc9vgU7Tp8Ahm8JifIJYHzB8TjdwQpXAMOBucHFvWf6VcIPYPj3wFB2G7fxZ5Jw3ZVVCh1jZHU4qn0ySSK8I9MSCt0g2+HTT5whsx/abtbSyAMY+/a10lCE6MrCmppAiNBKa42Sxx4JPdp5JD6auE0e7GLz9xm5/E3lkEU+JjRZ5PM8OQ0uzN3XvzHmGMb3Hc81E65hyflLKPzjRv4+opq+/8yDf7xJ6vo/cUzMdI5MOpJ4R4yRyNkPOApsE2wUjSrim3HbeXVmNXfOhUvuKeZf/zeXgmkxXLo6FnVxOtYLhjH8mklc+MiF5CfdCkOe4cpes/g5OY4qq89vyxCNR8KarSTMKU3cM7k4nbBrYS5TXjKaQQT7Xvl/6yO9+A979pScwONobsPQUL00utvMI76khEQI0a0Fuk4/5RTjq3vyjURtZGCUkkaCpTfHsA6AQ0Mnkvbzc9R9+qVvnkQDVmxon1KRYCUkk336E/hmYFgt4E7Y8A1ghOqBobV3lhL/DIxJO17jHPaw1dXDA5MJHet6o1VV4FcPWlioGRD0TNGRQDVpeHtt+Ac0/EUawNi3V4eYJyY4Fe6JfEth2qcNhogyrXXEadWdnQ7y773VO+m36ZQJoisrtxlTCGcktv7sT2FroiQiUDlEQoJxxz5BN7xjn0g1DzLP2yeD4Ne/l19q5fJLxwJjvQtzc+GPOZToen7OgN2p8FMPC98nmShMqacoFQ6lQE0SkOh69KwH6rFzmO3sYHstcJFxuI/B233JCZZaiFNOEn6+leQH7iM1LpWMxAx6Jvekd1pvMlIySB6ezL1vJ5IYk0iCNYFEayJfFyaSaHW9jkkkcfr5JFwyE7Mp2F9WfgJkufh+ry4ht2GZSPpCfrlwdsDve6CL/7B/RIUYR5F5EAMcTdXPhPXWPIErd5lUsJ/PbTELSnsJK4ChlBoGFGqt65RSU4ExwMta62Z2dxNCiI7HbDZ6XI4aZbx296F8yTGb/8f37GQIPb0xBCrHHAfvQ+ztNxsLevb0NtFwsWBH+ZR+NMzACDINhG8Aw6o9AYw4aj2bhOqBYav3BgD8AxgJ9caP7VTKjAUmE84EI4Ax7NrTYOv3xrm1woTRI6K1ft+5r5duoOG0jyaayMCIsFnmihXwu4hHF/yCrtF2vsGk7nXN2yXFxcVRUlJCRkZGtwliaK0pKSkhzi8lrU1iC6H+Qu8qf22LVqe1pspu3GzoldKrnUfjI1iEwnWl7P4n7n+hmTQnSB8Jvzv54ZQLuC9k1+TPI4tqMoDJhcYD7Ph0vwLAZoKSBChKgAmJr0Hiz5CwExILsabuJ7FXCaX1FZBYA/EOI6PDCvYEqKSWSmopdhRDFcajuPGYwhFjiiExJpF4SzyxlljiLHHer2bv69hj84kbD7F2iLNDrMP4GmPPZ6K+hHH1y3nfYcPqAKszn2PVlcRWruXax08h9xUrxfus9M60cu3VVo6YaiVvXwxWkxWr2YrVZOWOhVaqlRXireCwgtNKdY31/7N33vFxFOcffuaKuqvcMZJwA2w6jgm9hGoCDiE/wBwdYiDBkFASQJQEIlpCQjElpplgYXoAJw69N4NpBgwYgyXZxrZsyZatfmV+f+ydru3e7Z3uVN9Hn/3c7czs7Mze7mrnu++8L+XlzuhblIWaVKZq4OFHEp4HVmpDMj8XHirxUA7UACVAhZGaoXt3TxVB7FpgPA1MVUpNAB4AngceBaZnq2GCIAhdzbffGo6dHMHJdT/7GTzwABQVXsprA2az6ei8qEgdgR0m8w77sh/vGq6tp02D//43qk43XpTPx2q2YQPDo3xgKJMoJIEAOKIEDD8E/UIWRMyfTDSFpG1re4cAEDuFxKm9Ueva4UQXGnNlClYs7UhvblUUkbojy0yQzALDrmsKOwxb9WnyQsmIckZKV85xEbLA2LFjWb16NRtixMi+RlOT4fPH7zfueQUFeey1V7S9VZdoC/3ZE52QMRobGwkEo4T1KAsMK4Ui4gLyeEyup3Jzy41IvxN2pgtEDmQtpzHE4A7AqEZobSwFZkbl+RRsCoQHttXVbWyzTS1nz1rN9ruspGp9Fa+/u4Z3P15LS2A9rqI6CoZuol1todXfCjmAO7gk+d4eaKe9tZ1NJPE6PSVR5mNBm9lI2mHdHcAdcJiRsh64bg1cd79JFSea11ytFbl/cXeIHc4/Klw+jTMATg2uAMZ3pxNnww24rhqGc+06nK3tuNw5OEvG4vTOxXnLDbiWfYNzv0Bwu2qc/z0d57o7yD91HM1bXaCdEHBCwPheVOjk97etwPnyKzgn+nBOCG4370yc9c9y60t70Ly7w3AAqx2gnTRrB7PnO2iY5MCpnDiUo2NxOoLr772P4/EncG7YSHvhMB5o9lCddzBMdFKtHZx9o4Mvmh0c9rPo7ScMncDoAaMT/04ZxK6AEdBa+5RSxwG3aa3vVEpl4KlPEASh+3nhBdh2Wxg/3lgiOessAEVVlfFm8uc/h1dfNfIKC+EU5vPf6z9lyq92hDlz4up240X5vbzGIQxmM8eysCPPTMDweiE3VsAIEhIwnnoKij7QHGnRn/bNzZYWGM5AtIBhjFwK4+poajIEjFx3FgfjFgP9pBYYKTYpUV2lnzxjvZ1MIemXuN1utttuu+5uRlaJfTsHxmAodqp5l2gLtkIT9EF66qvNXkp9fT0EDYgG5w3u3sbEYqpQJMHEcsOXU8DfB1Sg6u2fMpEiZA0llBF/rW2kmAJaopxMNlHAlcSrI6HLMtylXGDb4LI3lZXw3tPQEqzKh2GZcf9cOOkkP5s3b6auro76BQuov/tu6mprqR8yhPqDDqJuzBjqa+upr6/n2+UbqVpdB+46cG41RqwuwEn4e+x6sjyH8elwgtMBzsI8nG4nDrcDn3bQ0qaMELURZXFoQ4VwhNQIPzj8xqfStPvbafe3g5eO8y8eH2wIOvju0NbaoXU5VC83VuP+5fih8UMY96FpjVuB2xqAabE5Xqh/CqY+ZbrdJuC3i6zaGeSg0JeNwO3BxaANuPlHuPmR6E3unn435/8kHVvX9LArYHiVUjOB04Fjgmnu7DRJEAShazniiORlysoM64whQ+Cxx2DxYuOBv5oydrq6DH0VYa+fEbjw4fR78eKOG0h3CBgRYVhjBQyXM7xNIYZ57Jw5cHmCtrY3tEQIGNH7dMSEJ9UOJy5fK7GEooG6XVmMQmKRnmkfGGmLCoEksWqt9iUqhpAGXTmetWtZ0SXaQhIT+z6J+P3IOD1awEgHE8sNV4UR4vOOYJGQY8lE94xIsfFKKoxQnjFCxUXBAWrIT8QqSriCCh5Tnqh/1HYuy8T3FifFxcUUv/AC3HJLuOCmTfDii1EKalkZhijgBaMRTUADsAXYQm5uA+eeu4Vdd91CQ0MDW955h4aXX2bL1q1sKSigYfx4mgYOpOmdD2n0ejtmszQBfiAAeIl/9kkJRbTYoYLfHeHvublu8goLyM3PJScvh9y8XNy5btw5bpw5TlxuF66Pl+B0gMsBLmWIKw4HOBU4f3Esa9Y6WPaNk5ZWBwWFDnbZXTFuvAPHgkdRDoxFGZ8Evz8x4GyampSxEmqPgqIBMPNk0Eqj0Wit8Ws/AR0g8O9nCDQ34VcQiFi2OvJ5VR0CKhBc/BxyaMDYRgfwB/xdan0B9gWMM4HzgAqt9Uql1HbA/Ow1SxAEoecxdKjx+eabhuawJMIu8Z13oPDrPHaP2caNF0fAiw8XObRH5TlCAsZJJ3WktbcT5QMjciwcssBQKrFVgW9Ls/2pHw4HDfsdDYC3aHCHMu3XqmNfWcOiiUktMFKdQxKpeMSoHxnpXqQFhsT2EtKgK8azkQKJlQgYa1nRJdqCDRP7Pof4/cg4fU7AgISWG3bvGZEiZMj5Z6RDyyup6EhfgKfDEutRDxwdI6pOn26sn3qqPcHEMt3G+R9djwKKgss2gPEM9txzcHvIOOD3vzffccyB0kBbfj5Nf/87TdOn09jYSFNTE9OmheSNRsJSRyPGHN4WoLXjMyenBa1b8XpbyHW2MmpUC3l5LbS2ttLSEvxsbsHr9dKGl7aQz7F0+Or56MMEfPA2kW7fLXjANLURuO+J8Lrb7cbtduNyuXBvaeqYxeMiPKPHTQvGJBtjLS/PjbvW3bGt2+2mYGyBEbK3i7AlYGitlwEXAiilhgADtNY3ZbNhgiAIPZXcXGOJfEG///7wB/LjBIyHOQN84MUdFUUEYM/NrxiVPPtsR5rXi6WAEbLAcDgSCxiRFhhJcTrJGZDLvZzLmc5/dySHtBWH6nk+MLTuhOyQgvlGU2MaU0hS3Ed3MYlv8eECxictK2Sf0PN8lLf85hL+flEFngwMaM2mjJgRa1nRZdpCOib2vRnx+5FxNm3a1PcEjAQk1AAIKw9fDi1htruCed6wSLEgxjW3Usa/rdLS6Os78rJMRzCJJOreYuP8t6rHorg1MTcxVVJCXkUFeR4PkZ5SSkuT7y90fCKPQ1ub4bvdJNIrfr+f1tbWDmHj8cdbufXWFtaubQPaMSZktLM/LzKLu3DQTiin3e2m7Ve/on2nnWhvb6etrS3qs729nbZvv6X9o49o9/s7tmtzOGgvKaG9qIiNG9vYsKENv9+LUj7Ai9aGWYtSPrQO4PV68XpjphabEn5j19pqGMxEcvDBB9uoI3PYjULyBnBssPxnwAal1Jta64uz2DZBEIQezSGHwH77GdYXAAs5hpstJneYCRi5gVa48060Uh3+FuxYYDiSvOVva/LaFjC0w8nEifA+udAWNqf0B0IWGFmcQmJRdVIBI0W7ici6dMD+1k88rtljgY2CvUCwiOXbjlclva/tvYnYaSHTp8OiRfFiQE2NIV5EmneXUc2NdbOgkk4P7s0GO7FYWVb0aG2ht/qR6K9+P7JIn7TASIDV4H3f6miloaiumvtyZjGgGObUexLehxJh12gocoAfKcg2N5ZAZXBHFuf/akcJb1YaRcysv2KxfbnYuIkl21/o/piK8ZTT6aSwsJDCwkIjgu015vW/zRGMZU9ucZYzNpDivczGPdBMwDYeW4yJNMbi4zgW8FcuxkUrvmBqiyuPmwvLebzhcEaO9LLXXl4++MBLba2P4cO9zJzpZe+9vUydOjV5WzOIXWPXQVrrLcAvgYe01nsCh2avWYlRSh2jlJrb0NAJkxxBEIRO4nDA5RF6xddM5uh9zaNLf86ucQIGAN99Z/xnDBJrgREpVoQsMJJNIWlv8iUVMELD+PcXOxgyBFReLrmtW+B//wPCAkasD42uINM+MCLZuCG88QrGJ5xDYjeMamSDHA7EB4YAhB8aq6uNU6S6Gu65J3p91iyjXEmJYdYdOTcdMNbLyzvdlkRvKpUy3iyavUFMmdCkfIfD+Kys7GSFSfYVe4BDB7SbSXoYKiqi7vtA3/f7kWXq6+sNf5L0DwHDavB+szN+hO1qb+aOonICAaiqgrvvNj5D63aue7tGQx6PcS+ZXWwIsmVU40BTVBdxfZqc/00U8Ad/RUeRUD2lpUZ+7L/VTF8ukftTCoqL4deFlaykDD8O1ueX4aEybeOpZCLyAjyUBKpS+1FCDU/yY1rv24Fx0RQBg/k353M196NUKeNQ7FBayu7z7uexzVeh9TRuvXVfXnnlIGprDwOOYsOGY7n//uPx+09iwoQJ9tqbIewKGC6l1GjgBOA/WWyPLbTWC7XWswYNGtTdTREEoZ8zfHj0+scrBvFSKC5XBOe9+EvyHO1x6bhckJPbsdrepmMEjPDgONICI6GA0ZzcAiOUX73aCYB7QPDV1fTpEAh0iQWGlRIREjBWMdY0P+UwqlFTPOxvbFX2DmbzJ641rT9T4kXWjDrWr89SxUIsdqweQm/uKioShDjMwLQCq8FOaWnqz8uRg/Nhw4zF4YALh1XiO6sLBQWLV6FVp5RnXTtJhC1dJXa0lDEFqf/S3ywwrDSwbfxZuI9UVlLjMAbyKyljJuGT2eze4vHAHUXxgmyUqcLcuax2lhJAUUUpv2YuC/B0FAnVU1VlXEePPGKIIrGCQiaJ1AI23l7JXB0vwFww1NjnTMJtWUlZR7oVdg5/tgywUvnpF+ChVFexXWn8P4ZE1iddjV0B4zrgReB7rfVHSqlxwHfZa5YgCELvICRg5OYa39evh+N5mpaPl3WU2ZYaph06kN0mm1hgOJ3oiEGvt8UXLWDE+MAIBJILGN6m5PMZh7OxYx8AuUU54Uyfr0PA2Lo1aVVpY9WDX/FUQiuMToVRTVPMiGQ2c7iW6wBYuRI21UeGUdUZUR+yJmDIHPsuw+6hrqkxnhGbiy2eXjPwVJupF/6xg/O6OmPRGi6uK8fVntmn24SWDBYHuISabjXGsP2Qb+PNaZfRlZYzmSbY9rq//rVDwBiU2/dfcFppYKo0w/eR4EU/1m8M5Muo5j5mMZPKxPeQZKYKHsPiwEmA7aiK8stRXR1/Gnqo5I4WC4uObGBxId9AOWe4o61Lyqjm71sTtyXZ4c+KAVbw2vDpeOEpGWY/X09y3WNLwNBaP6m13kVrfX5w/Qet9fHZbZogCELPZ8QI4/OYY2B0MIpUq2sAeVPCzhG/2TzamFpg4ihp3UZXlE+HWAEj1gdGS0vyl/xeGxYYIfwYFhjfr4yo1OvtcFCq0Pj9tqpKHYsmHshbKDQLmJnSdlZYCRijWGd/O5PtAcaNg5Mjxh1RP00nrDF6oVsNIQa744VQuaLbszetIFMv/BNZlWTagiSZJUPjUPMDXIOR3l1vBnvSQ74tevBUnKREtL02ByNsZTu4H3si6aZ9AVMNLNPTk0wu+kKaucVZnvgeYnUDjEhPdI+MOw27+vW/xQVbVF/DnQPjrUtc7YnbYvazhB4RsmKAFXFtxApPdjD7bax+L627Xve0JWAopcYqpf6tlKpVSq1XSj2tlDK37RUEQehHFBbCl1/Cv/4Fe+xhpOXng8oJBiTdYQcKBwX9JZsIGA/8y4V3XDj2lK/VR0gxCOBgycBD2IRhDltIEy0tyS0wfI2tjCR+qsBaRsWlhQSMakojKghbYCi0WbMzQ4JRugNNC/mmec0D4/uRCCsBo5BmBrZvtGyT6TF+7rmE9atIk5lOqBAiYPR+zB5YY4kaV2R5WkHKL/xN3sqHnI1Gmk6HHohDwkEcab75TTReqayE2VsqaCJ+Hv2VhAdqGRUNElgpRGZZOVlO9TB0mVFET7ILT5WItm8MWl8MaKV3tD1bZPo+YnERjQ3UJK7ShpCS7B4ZdRp2tTKYQIApqk+9LWY/yyOPGP/rs2KAZSE83UA5paVw/vmp+xdJ9Ht1te5pdwrJQ8DzwBiMALwLg2mCIAj9nilTDNHil7801rduxfiP8Pnn8PHH4YLt8T4wAjjQEQqBrzXaAmNL7nCGsokfGc0kltPcnFzA2OuRC5jA93Hpz+WcEJfm18a/gcrIsGpeL75MCBiNjYnzI+PQmmAVL6RxWJnlNu+/H59mJWAA5DbWWdZleozXrk1YTqEz4gcjyaERegFmD6yhh0bLcYWFytDlFv4Wb+UfKvhNnOl06K3elcQLCs0q/Te/icYr5eUwz+vh18ylivh59CFCY5BEx8/WsTU5Hr6zZnHhsEqUgkWnVPJGtWGqvcIfb6qd6gvwLjWK6HUmIxFEtLEuKGAMbKV3tD2bZHJ6kg1LCss2JBFSYh11mtHxU6bbjnRJJMCk2ZYunTVmcQ2UqRqqKiq5e1EZVTUOdGkZb51XaUvvSvZ7danuqbVOugCf2Unr6mXPPffUgiAIPQW/X+tLLtH6ssssCowcqYMeEjqWW7hUN2+/a8f6R397Q+sXXtAa9N68q6dNM7JC+TUPvqwXbH9NXD12ljmFl8WlTRy1RWsdvQ+9dq1+6+JntAb9DL/QdXXB9qe6zx13THi8lp92fcLtr+Va0/Q3L342XElM3pFHxu/ngb/82JG/obopqvzW8buE10M/YnC9nOvjK7v77qjyoPV+vNWR9uE9S7QuLjbWa2sT9j8Q0NH7juhPa2vCTaO3i60jUfkPP7S/TScAluhuejYAjgS+BVYAlycqm9XniPnztS4t1Vop43P+/LSrKSiIPtULCtKuzh6lpabXnt/hNE1fSakGrWcyX6+kVPtReiWl+mTSb6RFEzoOabLbT+gYJTp+to+tRWNWUqpnMl83El1JIwXao+an/dMn6nvaWJ2PWdlZFxHR9uElaP6E3vOsXtL23kIX3YCSnobdcSO0umZM2tKkCvTJzO/MrT6zWB3Q4uKkx9HOvy6re7BSme2G1bOE3YeBV4BTAGdwOQV41c622VxEwBAEoVcxdGjc3f5OfqubS7ePTl+0SGvQ0/hA//SnoTu1kbf23GuTP7lbLHcOKo9LGz+qUWsdvQ9dU6PfuOiZjvV167R+/nmdtP41jI5PT8DyU69LWN81/Mk0/fWL/h2uJCbviCPi9/PgX9Z05NeubIwqv2XCbtFtjRAwruK6+MpMBIz9ebMj7cN7Pw4LGBs2JOx/IgGjpSXhptHb2TjWHWX6uIARfEb5HhgH5ACfA5OtymfjOWL+fK1nF8cPatN92E72YJ8hnSQaOwpBxOJHmWY5neF2vX1+ag01G6+43eHLK9H+ZhfP11uLjX2tchoig9nxszq2ofyOJlocj5BQY5a3ktKMH/60BwcZUXF6IBFtz5lkCBiHn+roHW3vTWTlJhO/i6SnYRe0wzbBtgRQulpF32N6xOVjdUCtbqDBfyh2bwddpXtaPUu4bBpqnAXMAf4BaOA94MxOmX4IgiD0N0zmYuTRimprjU784QfAmELicsDYscBqI6u9Psm0jAQEXDlxaSEfGFFE+MAINXvuXDgm7T1boNObQqJTjaOqtfl3YMCKzyw3s+sINWoKSWSTdeLttcaih0k3FayZBqzQWv8AoJR6DJgBLEu4VYaorIQzbrqc3F/cwjytURqUBjQo3Yx6+VTUhxeign8AjuA0LmXxt3o3Bbsq0NFLtXYw+iwH69c60Ns7YKKTau3k1HkOrn7dwYjhThzKgXNjHc6V1Tha23Dm5uGcMBHn2G1xOpxxi8vhwuVwwU8KyW9uJDdAx5ITgFwUeT5NXjAtL7jowuHktr1LW3M+BPIhkAeBXPwBNwRc/GTt0+xw34V4Ay24NKjQnAiwtKMOJS++qJKL68opoYZV3hKuqKuImiYSoqAgaPpMcP5FcP73WL8xzQWI2i7ZLIPIJs4YWmJEPYihhhJL56WWTk1tUFJi7N8sPS0S+bmoqgqXqakxdlJR0TtCugbb2HrllbTnGcd72K579Y629yY8nqwf01D1CU/DLmiHbYJt2a4s/lqNjBbbbVgd0FNPNS8fvCEmulVE9qeiIuo2C2QpkooFtgQMrXUNcGxkmlLqd8Bt2WiUIAhCn2TEiI64pH875k0uXXggu/EZqq2VZvIpoMUod8EFQDCMqgMefxzY18ja+mN8XFPfIwt4/9S72J93Eu5eu00EjODgaepU8CyZTyWnGFFI/OERtNcbjrCSUZIIEVYCRiIHEaYD/wQChr0KEhMpYDgchFWMGTPg8svh2GPNN8xsMwSDbYBVEeurgb0iCyilZoExoi3J8Pzp8nLwDa/Gt63VD6iB+tQqLbbOWgdE+t8N7WFlcAGMI7JNaKUV+AL8X0Ci6ELTrTKs+lUL7GdZ3VPBpYMAqEAzjq9OwXHVmTiDfy5cuJQLt3LjdrjJaWoj56gNvO3V5Pog11+N23ca2/j/wRrfDuAvBN8ABhUM5rijh6J2Gcxzv/09RSObKfRCYTsUtUOht5mr269ggfdkQrKh1uB0kjDKUujBfTEV3MisqMgDIYehN1BOGfFqQ3NxCUXWVSck2eCgsjJFvcFGSMseMzBMFY+HTYccAr8YA8DgHXbv5gYJ6dIbT8Me7ULG7ICWlydUR+32x5bglEXsWmCYcTEiYAiCINjntdf4sPRXTGAFzXvuDwthKh/DJqhleFjACBLAwTnnwD77hNOa122Jq9Zx8kksO/X15AJGTm5cmk8bFhj/+x/8ZngwcorPR8PmaAEjA34pzVqUJDczFhgOFS4f8Nn3jmnXAiOOkPrw/vuGiGGhRiQSKUTASBuzkybqaGqt5wJzAaZOnZrRI11TA9Rdzl/WvchgxyYCCvwKAqFlyCD8l/+RQCDAp58FeOVVPw1b/AwcHODAAwPsOCVAQEcvX3/j57XXA/gDAVABUBqnK8De+/p55x0/pep79lAfopQff3B/7coBu0whsGI5/rY2Agp8jnA7/Lk5BHbeiYAO4Nd+AoFAx/cfVgbwBfwUOLYw0LHgvP/RAAAgAElEQVQZ7fTjdThocuaTN9hFwNtmLEoTcEDA7UQ7FVppAiqAVkHTIkfiRTvA7wI/XrxYeAouAibEJgaAj4OLQQMwrw7mPQP8zOrXWWXstN0N3hxoz8PfMgBaBkHrUGgZBi0joGUUtIyG1mJoGUp1y1DubDuUWnUvN+mrKaGGGkq4krAlyH0x4oYvp8AIi5smiQYHldEGJtgwZsmCSUfPYtOmTRB04jk4b3D3NkboV/S6SyuJOppKf7pTcOqMgJGVx1lBEIQ+S0kJZ+z4IV9/DXePiM5qYBAj2BCVdtwvHZx+enBl/Hj4/ntctT/GVWsVti8Wpzu+YCAYjKq4GHzBfwnrV7Xz6aPLOD5Yxq6AoZUjmSYRs/M0p5D4UwzREaEGJBI/tIY/X6v5U3Ddgb39pCt0dJmAkbU4uD2S1cC2EetjgfiLJksYD3+78lXjnXGDWgoK4Lq74FceKivhhtvDz5BbgFeXwokW3t8j37gPHWqkvfsBOB3whr+MsjhzigBUb0FXt5tfRcoLz39slmPcTzQ0Q2TrUQpabV56ZWVQXe0H2gEvHzOFUaymDWgBmhzQ6IANg4dxqu922gNbwbkVXE24cps48GdNbLtdM82PzKPZCa0uaAl+tgU/VzjHgqsV5W7DXdiGFy/apQ3PJzmAm/jvbiDXayw0AdZRiGJ5PACPN+VD43BozIfGf0LTQhY0lLHBewrXNj7PrqvWMWBUKa4MvIq0GhzYNfGOorvtvbNMfX29CBhCt9All1bEP4DGoYZ4Oqfek57VQxLTid5yq+iMgCHvhwRBEFLk9dfh22/hm2+i06soYyIrohMjVYPPP2dN2b7svvGttPed54gP4xoSCZSCvCI3NELhiUfzl4gxn93xr9MJ+FJoUDIfERYCxs/mngg3HhoeySUhUmBIJGC0tMBfKugQMOwSN4UkA2RUwPjyywxW1uP5CJiolNoOWAOcBJzcVTsPPfwtaDYeBm/A8N3QXFxivJEPPiSmOgj1eAzfDo0XlVNQF2EB4PdY+lrQ1TWsUiWU6ASv00zmIpSUeDr9RtE4Dk6am/OBfP7GTdGCTgDIK+BCfRvtm6N/Hh+w4g14ZR7w0OvwfXxjqihlO6rCfi88oLWmvb2dV85/iHEP/R4/rTQCjcBGcvjqZ2fxl9d2Anc95GyC3HrI2wj5dZC/mSFjtrCptRHyWiDfC/kYg+J8oDC4DGgxFmqB8E38leAC4GhbRf4n5zJwyWWMcI+gbEAZk0dMZs/SPZlSNoWxY8dSVJTu5JIkJt5Wc0sybO+d8hSWLCMChtBdZH0qRYzJVVFdNTcyi43AgmpPcusrq0Yn8T3Uk65vMxIKGEqprZgLFQrjli4IgiCkwMiRxvL11zCZr1jGFMBwBhdLg68wvFJYyLBp28Giz9Ped54zXon4zW/C3/eY5oLXoKgh+oW1XQuMVKeZDKj6ImG+pQ8MgLVrTQWMZD4wIn17ZIpYJ54aeyaKurXNOk9eEaSF1tqnlLoAeBEjIsmDWuuvumr/kQ9/j9V4eK/EY/rwl/K86eBDbFHwIbaMsGPKGkpMfTCscZZwub8izhKkWRVQUFFhORdh/ulwxMOeTr2Bi30Ifq/Ew6fTYb9F0U/Fc041fyruOA4mrwObVQHluoLS0ugHa6UUubm5/Pa189iHAdxAOZOD0z0epIL3VngoDZlHt2MoG0FKS6FqaXhgXl3tY+zYzfzud5vYf/9NbN68mWcXbmDBc6vY7K8hf/gaxkxahy7ayObAZhpdjbTnt8MgCOQGaMptookm1rKWzwOf89y65wyHJW8AG8G9xc1Q31AKGraldukONG0cT3HxOH7zm3Gcd944Ro8ejYq5oYbadpKu7BDGIqeyXDA0ydySDNl7pzWFJcuIgCF0J1mdSmGidhfSzA2UswBPVhyG9gZfJAkFDK31gK5qiCAIQn/jayZzFg/wIGfzPePj8je2D4xazx02MK5MiISD/SBmFhjXXBP+3up3m25nJmC8ws84lFeT7jMRoxY/nzDfTp9i2WHNq8RNgrc5hUSpGGuKNKeQtLbaU/h1/SbrvHQFjC+/hG22gSFD0qyg96O1XgQs6q7923n4S3nedIKH2CuJFykoKOCPzWEfDZED3nJdQaXHY8zzMDED2W9ROXPnejr9Bi7+OHiCS0R/E/uTM30dWFARbL8FNTVQjScuUomqgUceSWweHW6zCxgWXAwOPxzuvtO6v4FAgE2bNvH1qq/5as1XLF+3nOV1y1m5dSVrfWtpcDXgz/fDtuDFy3rWA+vhgCWwGerWwfVvwfVPQF5dHuNGjGPcuHFMmDCBhoYdePTRyRzd9hX3cUnHbx0SsnLdxm+c6tySdCwp0prCkmVEwBD6LBaqdqTlXY9wGNrFdGYKiSAIgtBJHuIsHuIsZnNHXN5l18cIFgOtBYz994MkPjzJU/Fv/COFiX+/OYSrTLYzm0IydkIesTNe/j3iPM5bc3XiRqRAAAfH8hzPMyM+08Lcw7PqJmIFjEiBIZEFRqxokFYYVQfkN9mcV59ApTCEljRcTe28M0yaBA88APsFo0LMmdORvXo1jP1J6tUKmSXlecYJHmIX4GFYMdxRFD0SfbfcA9VG6NDIwXxpaeI6qanpsjdwto5Dio1JJA5l0zza4XBQXFzMfsX7sd9u8RFZtNbc9a91XHLj17QP+BhGfgSjl8LIH2CwFwYDOxhlW2ll2eZlLFu1DN7HiKvjhWcwbvM7ApOBKcAeNHPzgCsoql9t3jCL3zldS4qeGHVBBAyhz2JxQ4u02u2xDkOzSIZm6wqCIAidIYd464id9oyJGpJAwJgyJfk+8lRrwvxPMQ8/Z2aBEWveDFCfm9lYqz5cvMYh1GHP1wVAWevXcWmpCBhRYkQarp5SkRwSOvFMMdJKFMuXw/77G6O0jz+GBx/syIr1vSJ0Dx6P4buhtNS4tkpLw74cTLF4Qq2hhIIC2Ot2D1RVGY5xq6rAY0xdKSiILh8lDljUudpRQmVlOr2yprLSMPhwOIzPUP0pHwcbJOu3J/5QdQlKKf527Wjavz0EllwG/30C7v8GbmyGu76Cpyvh3Uvhh0OgbYAhaOwMHIUR9PcKB44zofYQeHMc3OOGC4B9gNH1q9jZ5eIM4E4MzSOkCTUOLTE99oksKRJhNVjqzkGURCER+iwmN7RQCGfomQ42uwIRMARBELqB3Bht4kOmAfBdfMzAMDadVlrROGhswvyBg8z/JehNm00EDJNyGY616sPFTnsVsQ/vxWda7Gukd41Jw+xHIRnA1pTbGesDwzaJLDB8sVEl0uCGG2Dq1Kgkv0+ca/QIKivxlJdRVeMgUFJGVUVl1EA6dsD/znTzh9i/F1dYDviTigMWD8Z/8FcwaxYZEzFCb/qrq41TPvSmP1LEyKSgkA1RJFOYWikEXLBhMnxxMrz8V/jXq3DTJrh7KSz8J4XfnY6rYRK4AwRKgQOA08B5OYw4E0YcDJTBl9rLw8CFGKLGIOCnysE+m3ahuvpFtG6MOvbpWlIkFcbAWrHKEmKBIfRZYm5ojcWlXFE8l8eUp0fd27oaETAEQRC6AY8Hzj03vP42BzCYTUziO+uNRoywzrPgbs7v+P7BT3+XsKzfDw9wVlz6+Mt+yf+9NTsqTbnjZyC+MfyElNuXsD04w+busTz3nP2KbDrxVF8spS5izvtBvJG43q2G2JGugJHQAiPVULE2GfjKM1mpV0iBJCN6s+wjHvbwzunRo/LC+XO5Y6Mn4cNrQnEg+GC82llKAEUVpfyauVGO4TJBum/6O0OmRJFMjMMj67AdpUg7oXZn+HgWzY/OY96e35J/x0YOePQSLnrXxZ4/QsABtaVQeyAEzoCca3KY8MeR7HaYm3GlEHDCYh3gi8BC4EhgCLA3zc1XcPHFL7HttuYWecksKZIKRMkUqyxQV1/XIWAMyhuUtf0IQrcQcUMr2ljFHRs9XW5B1tMQAUMQBKEbcLvhnnui0xpI8ubohAQCQdDfwVdMjkp+kSM6vufkOxNW39oK1/LnuPSx1e9w4BdzotK0I76uY2amHxrQDB8unE4LZ55XXGG/IrtOPL+Kjoqyr5nlRyQDB/I8x3A6D4frSEXASGQNkgkLDBPyW+uzUq+QAklG9FbZpyxKPipPecDt8VASqMJJgO2oivKVkSmfBqm+6e/il/eWZGIcHluH3+SyDt0znBa355DvjvvuKKa67W9seHkezz5QSt3N8Nwrw/ndoCPZbdRueANeVuSv57N9vfxwJuT+OR9O2QP2PhhG7owRu/YD4CZqa49g/fphOJ3HAQ9ghIW1b0mRUCDqBsVqY8NGcECuI5ccZ07W9iMIQs9ABAxBEIRuInKw+9e/wmGHGd/bDp1u+DCIJTeXhoJR5pWdcgp/nFkTJViA4QgzYnO+DnmJM+GVV6CB+LdXOcR78Qw44y0wZs+OS4Jn0n/jHxIwLDHzLmpCpIVEQt8SJqJMLHUx/jmP4T+czILInWWEbFlgZHaSj5AWSUb06Zr2pzvgzrZPg1Tq75KX9zYVkkyMw83qAEOsCFkvPPKI0deHHw5PzZhJJSspw4+DLxuNNoZEg0rtYayviiEtmmPfruUfv/sfn577KRv/sJFnTniG2dNms/OInWnxtcCET+CI1+H8L+DSYfDLg2HX6biH7kRbWxN+/7PAOcBo8vIOY+bM+znqqPrwcUrnx+gGL591QcfJg3LF+kIQ+gMiYAiCIHQjb78NX38Nl14KixbB559D7sv/hbfeMi3/7cRjLOuqK9iWJgoBWFswDl57LUrAyM+HGRPDTi7/9JP/Rm1/4IHQyAAm8W3Sdm8eMi4uTSmo/ee/oxOPP954TZcGfpzWFhhgmIzYweYUEm0iysTyxhuJ8x06hb7GzCFpaYlYSfOYJSMdx6RChkkyok9XUEh3wG3Lp0EnSKX+rL+8T2FQnolxuFXZQCDeeiE0NWN2cSX3MYsyqnGgKapLLhxUVsIeOw7l+CnH8fz5d/DHgUtZd8k6fjOyEucXp8OWMVBUC7u8Dsctwnvhl0y6bRKH3HIIe87cE1eBg9bWV3jggV8zatQoTjjhBF66+GICvcTL56YWIyS1+L8QhP5BrxQwlFLHKKXmNjQ0dHdTBEEQOsV++8EOQaMIlwt22SVx+f8cdRcfs4dpnt8PbRjeQV8ffiIcfDADp4ctOUpL4ZJL4ALuZG/e48Nh003r+YF4cSKWpXueaZo+yOwFmF2hIYakFhh2sevE04YFRrLh/9BF85O3JxCAQw/F8dILUcmRY4VsTSERAaMHkGREn66gkO6AO9tOL1OpP+sv75MpJBHWGTWOMmYSLxqkMg5PdSzv8RjhcAuxLxxYaTKvPDeSu847mYePm0fJ06vhrq8Ysvg2dis4mkJ3Ics3L+e15tf4ePuPUZcrJt0wifFnjsc30seTTz3JEbW1jANuBKImnqXh5bOJAi5srMjKdCC/389Wr+GPaGhh5xxdC4LQO+iVAobWeqHWetYg0ydlQRCEvsvg4W6e5P9M8wIB8OI2Vnw+AOY9M5Cl/1vDp3e8zfHHGwOIu7iAD9jbdD42gJ/klghebV5GbT8pPvGqq5LWZ4YPFw5HAgsMu5gIGH4VL1Y0tdpQS5KM/131teYZgwfD3/8e3FETvPoquRf82no3dqeQvPBC8jIRlHz3Crz7bkrbCBkmyYg+XUGhMy++sx1a1G79WX95n0ghiVECxvqruY9ZUSJGqpYpaYlRKao4yTQZjweqqxS6djL1iy7i08v+Q/0f63nzjDe5av+rmLbNNPzaz/L25Xxf+j36HE1ueSEFMxTVO8CVObAtRnSTH8C2l8/G4mjnsHfWebLiy7OhoaHDgeeQvCGZrVwQhB5JrxQwBEEQ+iuzZsGhL1yGb/kPRsKfw043tYZGDEeazQHjiS43F3Y5cgy7z94PpaL9blgJGHbwKwuRY/Lk+LTPP09vHzhTC0tqQaTVQe7XnwEQcMS3/8lnbFhgJDVgsCjQ0GCYv9jF7o/z44/26wQGbarucPgqdCNJRvTpCArZngrSFWS9D4kUEhMloJBmbnGWp22ZkpYYlaKKY6V3VFdbu/jIceZwQOkBXH/I9Sw+ZzEbL9vIU//3FOfueS4lg0poczXRvLuGk8DxB2j2wJ0/gYkD4ZyyMlatWpWw33g87FQU7xw2G748JYSqIPQ/RMAQBEHoRRQVwaFHOHFN3M4YTV9zTUee3w8Pczq3cjHPFp1iun2mBAxvwHywrxQMISbSRfJRvykhC4xI/seRKdcTOW1k3EWGDxG/wx1XLq85eYSOpF1J5CQUbE+nsW2BYTsuo9DXyfZUkK4g631IpJBYKAFjAzWdskxJWYxKUcVJZBBh1+/mkPwhHD/5eO79+b1UXVQF9yyFVysoXjUB7QQmAkdD4GJ4YPybjDtxHOddch4bN260rLOrfHnW19cTnDkpAoYg9BPkyUcQBKGPEAhAE0Vcyq187zSZykG0gURnBAwfLr7YaWZcusMBm4kx4w0EjKfWdetS3odS4CTc0O8ZHy5goiYszj8oLs3M78PKMfFWCOe8dVpK7bPNwoXh79dfb2uTUbuPhq1bkxfMhImK0GfI9lSQriCrfUikkHSD88mU22iCmd4RiV2rh5D7D6dT4dy4M7x9JXUPfIf+23p49iFY9kuUNx9KwHeEj38W/ZMxl47h93f9Hn/AH1ePldib6cO5du1ascAQhH6GCBiCIAh9hJ//3Pg86CB46inzMvvsY4TtA3MB409/Mj6PILFvBa928cyvHo1LNx1Pv/mm8RA+enTCOmPx42TYMMilrSPtD9zS8X3QoPgnZJduj05Yu5YJnz4RV+6b8Uen1JYQaU0hOfbY8PfNm+3vbO3a5GVEwBB6ITYjmWYHK4WkJ83BSUHFidQ7rEg1BG/U/4amEfDZGRT852nu276WR3/5KPuP3B+Fwrudl9s23kbRlUVc+u9Luf+RrR31mJGNw1ldXS0ChiD0M0TAEARB6CN4PNDYCK+/DlOmWJc7/njYd1+4/fb4vNCMlJc4IqHPBp+2nkKSKXy4uPpqyCM87aKF8ABjMNFiwFdMJjcQM0XjkEOY9uJf4it3J3dUakanHYpa1atJKyysTCERehspRDLtWnrxHJyQ3mElYqQTghfA6Yw+FGefWsTMnWfy1nlvse6ydZxUfBKOLQ5a81u5demtzPpqNM273QLu+MqydThrampEwBCEfoY8+QiCIPQhCguTl8nPh3fegalT4/OUgqGhSHRmBULlLASAkIBxNvebb+j1JmybjlBA/DjJyYHFb7aZlq2mLGp9GZPJ0a2Gicn48eHRkVk7XekJGNvWLklcwI6/D5MyN/xhM64PbUYHiRQ6xAJD6GUki5rRrfTyOTiZDsEbCFgfihFFI1hwwQLWXbGOwzceDjWg85vg8D/CRdvBHvcTskhTKnuHUywwBKH/IQKGIAiCEMUXX8DixcBJJ/GvM14zLePMcSZ8+f8gZ5tnLFhgfFoN9CMG5IHgvyj1k7CQcuWV1vtsJY9J3mVw2mnwww9w/vnWhXPinXjaYd+vH0hcwI6A8ckncUk7/e10+3VFjjZEwBB6GV3l3LE/0h0heF96cTjfLnwRHnwK5hfCGqCoFo79NZxyJAxc1VFPNqYOffJJWMCY/evB3W/JIwhC1hEBQxAEQYhizBiYNs34vmbSwWzC5K2Wy8VFF4VXr+VP9ir3+YzPgEWUjYgBeTF1xpf8/I603Xe3rro19BQb4p//hJYW8924kodMBWDpUnvlQtgRMB5+OC5pDAnCoX7zDVx2WfiYXXddOC9SwNi0yWYjBaH76Cm+Mvsq2QjBayU8RE4HguNhxZdw30/gKaAZmPAS/HYnDv/jQ8yfrzM+daiyEn74ISxg1NYM7hnTkQRByCoiYAiCIAiWuN3wFgfEpTvcTgYOhKf5JQBebFo0nB20zLjvvqRFHUSIHOvXw7p15ObCALaYlo8TMBLgdNq0XPjvf23XCaCshJlI5s2LS9qOleZl33gDfvpT+NvfDNMYgEcjnKdGChgdc38EoefSk3xlCgaJLDcS+SyJnw5UBryD+moW3A18A+Ru4b7as/jN8xfT3BJ9f+zs1KErrmgBajsEDFoH95zpSIIgZA0RMARBEARL3G54mcOi0nZkGU6XMXC+k9kAvMKhcdt6SeBnwmp6h1IsxAinkkNERJERI2DkSFpaoJEBppseyJvW+4vBYVfAmDPH3NupBf7CgYkL3H23afIw6lCx1htaw8EHQ0ODsf7883GOPtsbzf2DCEJPpRf7yuz1JJrCYWW5YeWzZPFFlbxRXYYfByspYyahynLQ+l6u+8N18BjwLDi0g61TboNfnA6OaD9I1dXpTydZtWqV8SUvOJxpHQTIdCRB6OuIgCEIgiBY4nbDXfyW1WzDyxxKLq18w46EfGC+yUEoAnzEtLhtR1BrXumj8eFXI7mfcwD4lPj5Im0Jxuu78EXCeiNxOBV12LBY+PFH+N3vjM/PPktaXDvTcw5qSuz+rrkmLjKM/u3szO1PELqIXu4rMzW6NWZsdDPSmcJhJgbMpJIb62ZRRjUONGVUcx+zOkSM0lLF1Vdfzf3334/zCyeBRwLQ7oZd5zPmpGksc5dECR/pTicZMSLopDkvKP62GQKGTEcShL6NCBiCIAiCJW43gGJbVnM4L9NOLmCE1wt/RlszaA3/+Q9sZoh5pUlGK88zAxdelhEfCzZR8JCzR9mf7uF0KVOBxJJttknsgCMD5FfE2D3PnBlfaMWKqNXc9q1ZbJEgCJ2iB8WMTTf6i5kYcAPlFBJdWSHN3EB51HSgs88+m6effhpntRMe9uJqzuXHSZ9x0Umr0Cpa+Ehn6scxx1SDG3Bq8OaBL0+mIwlCP0AEDEEQBMGS3Fzz9EODM0ZCgkJsMIxRo4zPPMydaFoSrMhvMf1kwgTj82t2iMv7MW+c7d3YnkKSKnaceFrg/uTDDDZEEIRupwfFjE03+ouZz5ISzDcqoSZuOtCMGTN48MEHYQ34HmxjQBO8PB6uOdjIDwkfdtoSy5gxNVH+L2Q6kiD0D0TAEARBECwZYO5ugp12Mj5DfiNjZ4WEBIy2FBxrAsaE+AT85CfG559Mop68VDXR9m6cLoUm8yKGa/PGjNcpCEIvpQfFjE03+ouZz5LmYvONHKUlpuLBaaedxq233goboelJcATghgPgue2DbQgKIqlO/aiuDkcg2WG7wX1/OpIgCIAIGIIgCEICBibxSRkKunHggdHpI0aktz+1YIGtcs8xI74t2AyNimGBkQ0BY8jbz2e8ziheeimz9XXCYkQQhCT0oJixnYn+EuuzpOj21Cu7+OKLuXzgQAJV4H7FSDvtOPhuKNRQktbUj0gBY1DuoNQ2FgSh1yIChiAIgmCJI8l/Cb/f+HTGaAdum1FV4xg8uONroqigsZYdrUcb4Vy/YXtbuxlY90NWBIzehg6IgCEIWaMHxYzNaPSXNCu74a67ON7ppO09GLQMtuTBL05U3DzymrTaUl1dDcF/GWMHjk2jI4Ig9EZEwBAEQRAsGTYscb6VgAHhl4yXzvgOTjzR3g4jnGm89Za9TQByn3+Ko46ChwZfbKv8iO/eRSGDdz74oLtbIAh9lx4WMzaj0V/SqEydcgoP3HMP41wuGp6DQfWKZSM1ox5blXJb/H4/q1evhmJjfeJQ+1MIBUHo3YiAIQiCIFiy887w5JPW+Y88AlOnRhlOdPD++8bnrc9N4J1xp6W8bysHoiF+zsKO78qhGD4cnhx0jq26lYI1bJNym/oaar99u7sJgtC36VcxY5Mz6Ne/5snFi8nROTQ8a4jIN797M6u3rE6pnrVr1+Lz+cgbY1jjTSqelPG2CoLQMxEBQxAEQUjInntGr0+MeNF19NHw0UfmFhhjxoS/H3zjYdzLucl3FmGBYVZnJIGYf2E5OdDmtfdvTekAd3ChrbKCIAhC5thjjz24/fbboQac3zhp8bVwxatXpFRHdXU1AM4Rxj+KicVigSEI/QURMARBEISE5OQYn243rFxpCBap4sPN+dxrmrcXEdMY8vI6pp5Y+d8IWWaYCRjt7fbao7Tm3Y/z7RUWBEEQMsq5557LCSecgP8FP46Ag/lL57N49WLb24cEjPYBxk1fppAIQv9BBAxBEAQhISGHnAUFUFYGg1Jw9r7LLtHro/kxrsyH7BVeGTOG//s/46vZtBSA6dONz6UuwzTk4Zn/62hnezs0/PZKGy3TFOyxA8ybx4scHpf7ObuYbCMIgiBkAqUUc+bModhZTOBdI5zV7178HdpmZKTq6mooAK/Ty4CcAYwoTDP0lSAIvQ4RMARBEISE5AUDfoSEg1S4MGaWxjpGg9fbsf5vz1Mdq1WUAnDzzVBXZy2UzJ8Pn38O3sHDUWh+mHgkYFhgbNkCh31wPSNYn7BdKhD0Pnr66fyBW+Ly20jigEMQBEHoFMOHD+fWW2+Ft0E1KT5Y/QGPffmYrW1ramo6HHhOKp6EUhJVShD6CyJgCIIgCAkZOBCWLYOHHkp9W9OXaS5Xx9cfdjoWlwt241OmsgQwfF8kCqFaUGBYdoSmmIQ+77nH+PzoYwcbSPw2TulAx/el7IoXV1yZ27goYR2CIAhC5zjttNM4ZL9D0K8Y/yxOvv9qSrfzU1mZeLvq6moI/p8Q/xeC0L8QAUMQBEFIyo47Jo8KYsbKlfFpodCrQIenzs/ZjTqSxGyNobbW+Ay9eNttN/vbqhhlJTakqkLze25LqT1C96KU+pNSao1S6rPgkobNkCAIXYlSiunT74XPcqAeGPo9NQX/ZtYsEooY1dXVEkJVEPopImAIgiAIWaOgID5tyxZYfvTvAZi0g/FvaN48WLo0vX28957xuXBhdPqGhIJIWLD4859hA8NjcsUcuZfyD631bsFlUXc3RhCE5Nx550TQ10Iw9Db73kxzs6a83Ly81loEDOdWtWQAACAASURBVEHox4iAIQiCIGSNSy+Nn3qycSO8e/zfUWh23tlIO/10Or6nSsiiY8CA6PQRbOCzPc4y3SbSAmPXXWFf3o3Kf499APhm1t/Ta5QgCIJgi5oagEvhswnQBGyzBErfCqbHs2nTJpqamnAMM4Yxk4ondVVTBUHoAYiAIQiCIGSN3Fw44ww44QSYNs1I23VXOCuoK4QinHSGsjLjMzgbJYp9PrmTJ05dyD4xAsXGqUd2fM/Ph5WM404u6EirC77am/7y7zvfQKEruUAptVQp9aBSaohZAaXULKXUEqXUkg0bNnR1+wRBiMEInZ0D3n/Ah8HEfSs6QmrHEgqh2mGBIT4wBKFfIQKGIAiCkHUefxwefdT43tISTs/J6XzdN95onddCASc+8nPeZx8UmrfZD4C6qUd0lAlNc7mQO3DTzm+4i5v5I2D48DiXe3mC/+MqrudHRrMtFq8FhayjlHpFKfWlyTIDuAcYD+wGrAVuNatDaz1Xaz1Vaz11+PDhZkUEQehCKipC9+Gj4aODwAtMepnzr/nKtHx1dTUMgIArwND8oQzNT+D1WRCEPocIGIIgCEKXYOYPIxMCxrAUfH+exGOU8xdaJu7SkRa2AlH4cHMPv8FLuGFzOZcTeYIKrmIbfqQZk44Ad3N+Gq03ZzZ3ZKyuvoTW+lCt9U4my3Na6/Vaa7/WOgDcB0zr7vYKgpAcjwfmzoXSUgXNc+BTwwfR+w5zJxhREUjE/4Ug9DtEwBAEQRC6BDMBozNTSMaMiU+7++7E2/zINtxAOU5X2ElnqiLKZgabppdTwf0Hm7vNH8sqTuDxuPSruc60/Bxmp9YoAaXU6IjV44Avu6stgiCkhscDVVWg9RROGe+BADy/8nlWN6yOK1tTU9MxfUT8XwhC/0MEDEEQBKFLyLQFxuefw7Jl0Wnn2zSCiPSXsfvuqe03gJM8WriVi7mJP3JHUGzYygCq9jmZ9/lpVHlFgDWM5UlO4CiiA2Ms5Ji4+lcwHoDDeTG1hqXIs8ygZU19VvfRxdyilPpCKbUUOBgQByaC0AvZd/I/4Gs32qGZeOq5ceFUv/vuO7HAEIR+jAgYgiAIQpfgdsN//hOdZuZ40y7DhsGOO8anv/RS8m07s1+ANvK4lFu5gpu4iDtQaPy48HqNiCa/4kkAbuMiiAjJ+gJHWtQYZjF7AfAyh3M0/7Es9wm74yP9jqxjFAwx9XPZK9Fan6q13llrvYvW+lit9drubpMgCKlRWQmXXDIM3jX8ELXutIizf/tRh4jx5JNPsnDhQnHgKQj9GBEwBEEQhC7j6KOj15UyL9cZDjsM9t03cZlkAobHk96+b7kFNA6e5lcoNL/ntpgS0R3+kp0YTm1MiXCI10UczUG8buoTYwUTGMbGqLQruIFRrOVc7uWfzALgVP4FwEwe5RQeAWA5E7mCG2lsTKubgiAIWaG8HJqbgR+vg5UjIRfaphzDFVc088knn3D66acDMGrKKEAsMAShP9JjBAylVKFS6mGl1H1KqTQfHQVBEISezmefwa9+BZ9+mr19vPpq4vympuj1J58Mf7/77uS+NDrDEOp5gLPIpRU/LjYynDGs4XMMx6IX8/eo8m9yEHOYzVQ+4mquw4mPG7mcC5hDA4P5C+XM4FmO4xlu4grWM4q5nMsFzGEai5nPqTjx8RgzqeQUyljJ9ixnM0NYvjx7/RQEQUiVmo4gTwreDd6If7qeVT+ezowZM2hpaeGMM89gs2MzIBYYgtAfUVrr5KXSrVypB4GfA7Va650i0o8EbgecwP1a65uUUqcCm7XWC5VSj2utT0xW/9SpU/WSJUuy1XxBEAShF5PIuuO11+Dgg6PT2tqgri7sHDQb1iE9jTffhAMOyHy9SqmPtdZTM19zZpHnCEHoWZSVQXV1aE3D+dvDyO/gWeAz2Be4q2QMu531IyMLR7Lu0nXd1lZBELKL1bNEti0w5kH0hF+llBO4CzgKmAzMVEpNBsYCq4LF/FlulyAIgtDPGBwRPOSgg+Lzc3OjI5vE+uuI5KyzMtasbiUQ6O4WCIIghKmoiHT4rODdq42v+8C2Cp4BNjp/BGCif1B3NFEQhG4mqwKG1votINbF+TRghdb6B611O/AYMANYjSFiJGyXUmqWUmqJUmrJhg0bstFsQRAEoQ/y3Xfh73asK2L9dYSYPx9uvz0zbepu/PK6QBCEHoTHA3PnQmmpcZ92fH0SoxucMAJumAQjgOWhEKpL13RrWwVB6B66wwfGNoQtLcAQLrbBEFWPV0rdAyy02lhrPVdrPVVrPXX48OHZbakgCILQa1m8GI46Krw+bJgxZeK99+zX8eWX8Wk//3l2p5dcd1326o7lxx+7bl+CIAh28HigqsqwENM+N5d8YCitp50EB54B8w13QUysabKsQxCEvkt3CBhmj31aa92ktT5Ta32+1rrSpIwgCIIg2GbaNFi0yPB3sXixkXbAAbD33vbrmDIFVqyAxx8Ppzmd4HJFl7v2Wjj55M63GeLrziazZ3fdvgRBEBJSWWk4wXA4jM/KSkpKYPqSbTl5Kbj98FYZvFdiFJ/oGNaNjRUEobvowsekDlYD20asjwXkHZAgCIKQFWKddabK+PHGcsghhhBSVBSdX10NY8caVhmPPmqknXuu8Qx+zz2p72/s2ORlMkVDQ9ftSxAEwZLKSpg1KxhDFePGOmsW80+HW+6/kbnPzOKe/zbz34nw9GTYmuvg8HNu7N42C4LQLXSHBcZHwESl1HZKqRzgJOD5bmiHIAiCINhm2LBovxg772x8lpQYYkXktJK//c14FhcEQRBsUF4eFi9CNDez36JyDn3IwxXFc6lvK+XELxXzXi3lxSP+xYBTz+metgqC0K1k1QJDKbUAOAgYppRaDVyrtX5AKXUB8CJGGNUHtdZfZbMdgiAIgpBp3nkHamuj0yIjk++2G+y/P7z9dte2SxAEoddRU2OZ7vGAx+MBPAAUmZcUBKGfkO0oJDO11qO11m6t9Vit9QPB9EVa60la6/Fa64pU61VKHaOUmtsgtq+CIAhCNzFwIEyYkLjMW2/Bhg3G1JNnnglPMQFYvx7OPx82bwafD374wZimMmNGuMzLLydvR6Z8bwiCIHQbJSW20k3cZAiC0M/ojikknUZrvVBrPWvQIIn/LAiCIPRshg0zHIoedxzMnAnt7YZgMWIE3H03DBpkOAbdbjt49VVDGLnmGhgzBg491LDqCC0XXGDU6fPBE0/AX/9qPMAfe6yRbuUA9LPPYKeduqa/giAIKVNRAQUF0WkFBUZ6kJCbjOpq434YdJMhIoYg9DOUjrR37WVMnTpVL1mypLubIQiCIAg9hrffNiKtzJsHZ55piCMhPvnEcNx58MFhnx3ZeAxQSn2stZ6a+ZozizxHCEIPorLS8IVRU2NYXlRUGDFVg5SVGaJFLKWlRthVQRD6FlbPEt0RhUQQBEEQhCyx//7G5zkm/u322CP8feXK7IgXgiAIaWE4u7DMTuAmQxCEfoQIGIIgCILQDykr6+4WCIIg2KekxNwCw8p9hiAIfZNe6QNDEARBEARBEIT+gw03GYIg9AN6pYAhUUgEQRAEQRAEof/g8cDcuYbPC6WMz7lzE846EQShD9IrBQyJQiIIgiAIgiAI/QuPx3DYGQgYnyJeCEL/o1cKGIIgCIIgCIIgCIIg9C96dRhVpdQGYDOQaC7JoAT5VnnDgI2da13WSdSvnlB3OnWkso2dssnK9MVzI5vnRabqz+a5IeeFNXLPyN65kWi7nn5uZOu8KNVaD89CvRkl+Bxh4hYwI/T0374z9OW+Qd/uX1/uG/Tt/knfei99uX/Z7Jv5s4TWulcvwNx0863ygCXd3a/O9ru7606njlS2sVO2P54b2TwvesO5IedF95wbPf28yPa5keSc6dHnRrbvGf156em/vfStf/avL/etr/dP+tZ7l77cv+7oW1+YQrKwE/nJtu3JZLPtmag7nTpS2cZO2f54bmS73T393JDzwhq5Z3S+jFW+nBeCIAiCIAhdQK+eQpItlFJLtNZTu7sdQs9Dzg3BDDkvBCvk3Oi/9OXfvi/3Dfp2//py36Bv90/61nvpy/3rjr71BQuMbDC3uxsg9Fjk3BDMkPNCsELOjf5LX/7t+3LfoG/3ry/3Dfp2/6RvvZe+3L8u75tYYAiCIAiCIAiCIAiC0OMRCwxBEARBEARBEARBEHo8ImAIgiAIgiAIgiAIgtDjEQFDEARBEATBJkqpI5VS3yqlViilLjfJz1VKPR7MX6yUKovIuyKY/q1S6oiubLddbPTvYqXUMqXUUqXUq0qp0og8v1Lqs+DyfNe2PDk2+naGUmpDRB/Oicg7XSn1XXA5vWtbbg8b/ftHRN+WK6U2R+T19N/uQaVUrVLqS4t8pZS6I9j3pUqpPSLyevRvZ6NvnmCfliql3lNK7RqRV6WU+iL4uy3pulbbw0bfDlJKNUSce9dE5CU8n3sCNvp3WUTfvgxeZ0ODeT39t9tWKfW6UuprpdRXSqmLTMp0z3XX3bFjZZFFFllkkUUWWXrDAjiB74FxQA7wOTA5psxvgHuD308CHg9+nxwsnwtsF6zH2d19SqN/BwMFwe/nh/oXXG/s7j50sm9nAHNMth0K/BD8HBL8PqS7+5Rq/2LKzwYe7A2/XbB9BwB7AF9a5E8H/gco4KfA4l702yXr2z6hNgNHhfoWXK8ChnV3HzrRt4OA/5ikp3Q+99T+xZQ9BnitF/12o4E9gt8HAMtN7pndct2JBYYNlFKFSqmHlVL3KaU83d0eoWeglBqnlHpAKfVUd7dF6FkopX4RvF88p5Q6vLvbI/QMlFI7KqXuVUo9pZQ6v7vbI6TFNGCF1voHrXU78BgwI6bMDODh4PengJ8ppVQw/TGtdZvWeiWwIlhfTyJp/7TWr2utm4OrHwBju7iN6WLnt7PiCOBlrXW91noT8DJwZJbamS6p9m8msKBLWpYBtNZvAfUJiswA/qUNPgAGK6VG0wt+u2R901q/F2w79K5rzs7vZkVnrtcuI8X+9bZrbq3W+pPg963A18A2McW65brrtwKGlcmPhbnSL4GntNa/Bo7t8sYKXUYq50Xwpnp297RU6GpSPDeeDd4vzgBO7IbmCl1EiufF11rr84ATgD4ZD74fsA2wKmJ9NfEPdB1ltNY+oAEotrltd5NqG8/GePsWIk8ptUQp9YFS6hfZaGAnsNu344Om0E8ppbZNcdvuxHYblTHtZzvgtYjknvzb2cGq/73ht0uF2GtOAy8ppT5WSs3qpjZ1lr2VUp8rpf6nlJoSTOtTv5tSqgBjAP90RHKv+e2UMRVyd2BxTFa3XHf9VsAA5hGjBCmlnMBdGOZZk4GZSqnJGEpn6Efwd2Ebha5nHvbPC6F/8f/s3Xl8VNX5+PHPM5OZ7BuJLAIhCCjIFhAoiq341eJSsforIoI7Sqn6dWu/brEVrbi2Lthat+IacbfuG63ghoJoVBQoa9i3BEJC1pk5vz/uJJkkM8lMmMlMkuf9et3XnTl3O3eWZO5zn3POU4T+2bjZu1x1Xk8RwudCRE4HPgP+3b7VVGEifsqajkcfaJ1gto22oOsoIudiBeLu9SnOMcaMAaYDD4jIgPBXsc2CObe3gFxjzAhgIQ2ZNJ3qvcNq2vSKMcb3N20sv3fB6Mjfu6CIyPFYAYzrfYonGGNGY/2/uVxEfhGVyrXdN0A/Y8xI4CHgX97yTvO+eU0GPjfG+GZrdIj3TkRSsAIvVxtj9jdd7GeTiH/vumwAI0DKT6B0pS00pGt12desKwjxc6G6kFA+G95Oje4G3qtLv1OdU6h/M4wxbxpjjgG0OWLHtAXo6/O8D7At0DoiEgekY31Ggtk22oKqo4icCOQDpxtjquvKjTHbvPP1wCKsO3axotVzM8YU+5zP48BRwW4bA0Kp4zSapLLH+HsXjEDn3xHeu1aJyAjgCeDXxpjiunKf920X8Dqx1yytRcaY/caYcu/jdwGHiGTTSd43Hy1952L2vRMRB1bwosAY85qfVaLyvdOL8cYCpbu8hpVS+A+s6LzqWvx+LkQkS0QeAUaJyI3RqZqKskB/M/4XOBGYIiKzo1ExFVWB/mZM9PbW/SjwbnSqpg7SMmCQiPQXESfWj9KmIza8CdT1uD4Fq9M24y2fJtYoJf2BQcDSdqp3sFo9PxEZBTyKFbzY5VOeKSLx3sfZwATgp3areeuCObdePk9Px2rzDfABMMl7jpnAJG9ZLAnms4mIHIHVqd4Sn7JYf++C8SZwvvcGwnig1BiznY7x3rVIRHKwrkXOM8b816c8WURS6x5jnZvf0TBilYj09PYRhIiMw7o2LSbIz3NHICLpwHHAGz5lMf/eed+XfwIrjTH3BVgtKt+7uHDtqJPwm+5ijDkAXNTelVExI9DnohjQi9OuLdBnYx4wr70ro2JGoM/FIqw7m6qDMsa4ROQKrB9idqxRHH4UkduAr40xb2L94HtWRNZiZV5M8277o4i8hHVh6AIub5LCH3VBnt+9QArwsve6Y5Mx5nRgCPCoiHiwLkLuMsbEzEVwkOd2pbeZlwvrvbvQu22JiPwZ66IK4LYmqeBRF+T5gdWR4AveoFqdmH7vAERkAdaIFdkisgW4BXAAGGMewQoKn4rVOW4F3t/tHeG9C+Lc/oTVj87D3u+cy9vcpwfwurcsDnjeGPN+u59AC4I4tynA70TEBVQC07yfTb+f5yicQouCOD+AM4EPvdeTdWL+vcMKZJ4H/CAihd6ym4AciO73Thr//epavB2SvG2MGeZ9fjQwxxhzkvf5jQDGmDujVUfV/vRzoQLRz4byRz8XSimllFLtQ5uQNNZp0pVUWOnnQgWinw3lj34ulFJKKaUioMsGMLwpP0uAI0Rki4jM9A53VpeutBJ4KRbTlVTk6OdCBaKfDeWPfi6UUkoppdpPl25CopRSSimllFJKqY6hy2ZgKKWUUkoppZRSquPQAIZSSimllFJKKaVingYwlFJKKaWUUkopFfM0gKGUUkoppZRSSqmYpwEMpZRSSimllFJKxTwNYCillFJKKaWUUirmaQBDKRVWIuIWkUKf6YYw7jtXRFaEa39KKaWUUkqpjiMu2hVQSnU6lcaYvGhXQimllFJKKdW5aAaGUqpdiMhGEblbRJZ6p4He8n4i8m8R+d47z/GW9xCR10XkO+90jHdXdhF5XER+FJEPRSQxaiellFJKKaWUajcawFBKhVtikyYkZ/ss22+MGQf8DXjAW/Y34BljzAigAJjnLZ8HLDbGjARGAz96ywcBfzfGDAX2Ab+J8PkopZRSSimlYoAYY6JdB6VUJyIi5caYFD/lG4H/McasFxEHsMMYkyUie4Bexphab/l2Y0y2iOwG+hhjqn32kQt8ZIwZ5H1+PeAwxtwe+TNTSimllFJKRZNmYCil2pMJ8DjQOv5U+zx2o335KKWUUkop1SVoAEMp1Z7O9pkv8T7+ApjmfTwD+Mz7+N/A7wBExC4iae1VSaWUUkoppVTs0TuXSqlwSxSRQp/n7xtj6oZSjReRr7CCp+d4y64E5ovI/wG7gYu85VcBj4nITKxMi98B2yNee6WUUkoppVRM0j4wlFLtwtsHxhhjzJ5o10UppZRSSinV8WgTEqWUUkoppZRSSsU8zcBQSimllFJKKaVUzNMMDKWUUkoppZRSSsU8DWAopZRSSimllFIq5mkAQymllFJKKaWUUjFPAxhKKaWUUkoppZSKeRrAUEoppZRSSimlVMzTAIZSSimllFJKKaVingYwlFJKKaWUUkopFfM0gKGUUkoppZRSSqmYpwEMpZRSSimllFJKxTwNYCillFJKKaWUUirmaQBDqSgRkVwRMSISF8S6F4rIZwe7n3ARkTtF5Or2Op46OCJyuoi8EO16KKWUUkopdTA0gKFUEERko4jUiEh2k/JCb/AgNzo1a38icghwPvCo9/lE72vwWpP1RnrLF0Whmi3y1mtgtOvRGhHJE5HlIlLhnee1sO4iEakSkXLvtLpumTHmTWCYiIxol4orpZRSSikVARrAUCp4G4Bz6p6IyHAgMXrViZoLgXeNMZU+ZbuBY0Qky6fsAuC/7VmxzkREnMAbwHNAJvA08Ia3PJArjDEp3umIJssWALMiU1ullFJKKaUiTwMYSgXvWazMgzoXAM/4riAi6SLyjIjsFpEiEblZRGzeZXYR+YuI7BGR9cCv/Gz7TxHZLiJbReR2EbGHWkkROVRE3hSREhFZKyKX+iwbJyJfi8h+EdkpIvd5yxNE5DkRKRaRfSKyTER6BDjEKcDiJmU1wL+AaXXnCkwFCprU7Rjvvku982N8li3ynvMX3gyCt0QkS0QKvPVd5pvpIiKDReQj73muFpGpPsueEpG/i8g7IlImIl+JyADvsk+8q33nPc7Z/pro+GZpePf3sIi8593mcxHpKSIPiMheEVklIqNae29CNBGIAx4wxlQbY+YBAvxPG/e3iCafOaWUUkoppToSDWAoFbwvgTQRGeK9QD8b6+64r4eAdOAw4DisgMdF3mWXAqcBo4AxwJQm2z4NuICB3nUmAZe0oZ4LgC3Aod5j3CEiJ3iXPQg8aIxJAwYAL3nLL/DWuy+QBcwGfDMsfA0HVvspf4aGAM9JwI/AtrqFItINeAeY5z3GfcA7TbI2pgHnAb299VsCPAl0A1YCt3j3lQx8BDwPdMfKjHlYRIb67Osc4Fas7IW1wFwAY8wvvMtHejMVXgxwnk1NBW4GsoFqb92+8T5/xXs+fonI997AkL/p4QCbDQW+N8YYn7LvveWB3OkNkH0uIhObLFsJ5IpIWksnqZRSSimlVKzSAIZSoanLwvglsArYWrfAJ6hxozGmzBizEfgr1gU5WBfADxhjNhtjSoA7fbbtgZXZcLUx5oAxZhdwP96MhmCJSF/gWOB6Y0yVMaYQeMKnDrXAQBHJNsaUG2O+9CnPAgYaY9zGmOXGmP0BDpMBlDUtNMZ8AXQTkSO8r9EzTVb5FbDGGPOsMcZljFmA9RpO9lnnSWPMOmNMKfAesM4Ys9AY4wJexgrsgBUI2miMedK7r2+AV2kcFHrNGLPUu20BELD/iCC97n1dqoDXgSpjzDPGGDfwok/dmjHGjDDGZASYLguwWQpQ2qSsFEgNsP71WIGz3sBjwFt1WSdede9ZRotnqZRSSimlVIzSAIZSoXkWmI7VD0TTC/RswAkU+ZQVYV1QgpURsbnJsjr9AAewve7OPFYnmd1DrN+hQIkxxjfA4FuHmcDhwCpvk4zTfM7rA+AFEdkmIveIiCPAMfYS+CL6WeAK4Hisi/ymdStqUuZbN4CdPo8r/TxP8T7uB/zMN5MBmAH09Fl/h8/jCp9t2yrYuoVLOdA0WyINP8EjAGPMV97AWbUx5mngc+BUn1Xq3rN9Ya6nUkoppZRS7UIDGEqFwBhThNWZ56nAa00W78HKZOjnU5ZDQ5bGdqwmGr7L6mzGapaQ7XNnPs0Y01JzAX+2YWVB+AYY6utgjFljjDkHKzByN/CKiCQbY2qNMbcaY44EjsHKcDgf/77HCoL48yxwGVYnnxV+6tavSZnv6xOKzcDiJpkMKcaY37VhXwAHgKS6JyLSs4V1QyYiP/qMDtJ0eiTAZj8CI0REfMpGeMuDYbD6zKgzBCtrJVBmjVJKKaWUUjFNAxhKhW4m8D/GmAO+hd6mBC8Bc0UkVUT6AdfS0E/GS8CVItJHRDKBG3y23Q58CPxVRNJExCYiA0TkuFAqZozZDHyB1RdCgljDZs7E25mmiJwrIocYYzw03Il3i8jxIjLc2wxmP1Ygxh3gMO9i9e/h7/gbvMvyA2x3uIhMF5E4ETkbOBJ4O5Rz9Hrbu6/zRMThncaKyJAgt9+J1dyiznfAULGGLU0A5rShTgEZY4b6jA7SdJodYLNFWO/BlSISLyJXeMv/03RFEckQkZO873mciMwAfoGVVVPnOKxmOUoppZRSSnVIGsBQKkTePhq+DrD4f7Hu5q8HPsPqZHK+d9njWBeU32F1/tg0g+N8rCYoP2E103gF6NWGKp4D5GJlPLwO3GKM+ci77GTgRxEpx+rQc5q3T4ee3uPtx+rscTHNOyit8wxwqoj4HULWGPOZMWabn/JirMyO3wPFwHXAacaYPaGeoLeJzCSsPkK2YTUXuRuID3IXc4Cnvc1Pphpj/gvcBiwE1mC9d1FljKkBzsD6XOwDLgbO8JYjIjeJSF1AwgHcjjWc7R6sz+EZxhjfzlbPwWqWpJRSSimlVIckjTu4V0qp1onIHcAuY8wD0a6Lap2ITAbOM8ZMbXVlpZRSSimlYpQGMJRSSimllFJKKRXztAmJUkoppZRSSimlYp4GMJRSSinVoYjIfBHZJSIrfMq6ichHIrLGO8+MZh2VUkopFX4awFBKKaVUR/MUVqfEvm4A/m2MGQT8G5+RnpRSSinVOXToPjCys7NNbm5utKuhlFJKKR/Lly/fY4w5JJLHEJFc4G1jzDDv89XARGPMdhHpBSwyxhzR0j70d4RSSikVmwL9loiLRmXCJTc3l6+/DjSapVJKKaWiQUSKonDYHsaY7QDeIEZ3fyuJyCxgFkBOTo7+jlBKKaViUKDfEtqERCmllFJdhjHmMWPMGGPMmEMOiWiSiFJKKaXCLGYCGCJymIj8U0ReiXZdlFJKKdXh7PQ2HcE73xXl+iillFIqzCIawPDXS7i3/GQRWS0ia0XkBgBjzHpjzMxI1kcppZRSndabwAXexxcAb0SxLkqpGFJQALm5YLNZ84KCaNdIKdVWke4D4yngb8AzdQUiYgf+DvwS2AIsE5E3jTE/RbguSimlVLuora1ly5YtVFVVRbsqEZWQkECfPn1wOBztelwRWQBMBLJFZAtwC3AX8JKIzAQ2AWe1Zd9d5b1rKlrvpVKRVlAAs2ZBRYX1vKjIeg4wY0b06qWUapuIBjCMMZ94ewn38h1fUgAAIABJREFUNQ5Ya4xZDyAiLwC/BoIKYDTtfEsppZRqd6mpcPPNcP31fhdv2bKF1NRUcnNzEZF2rlz7MMZQXFzMli1b6N+/f3sf+5wAi0442H13hfeuqWi+l0pFWn5+Q/CiTkWFVa4BDKU6nmj0gdEb2OzzfAvQW0SyROQRYJSI3BhoY+18SymlVNSVl8MNNwRcXFVVRVZWVqe+ABYRsrKyOl2mQld475rqrO+lUgCbNjUvO4cCFhXlapsSpTqgaAyj6u8XgTHGFAOz27sySimlVCR0hQvgznqOnfW8WtIVz1l1DTk5VrOROudQwOPMIpkKMGibEqU6mGhkYGwB+vo87wNsi0I9lFJKKaWUUp1QXcedRUXgG5+7g3wreOGrrk2JUirmRSOAsQwYJCL9RcQJTMPqOVwppZRSYbBv3z4efvjhkLc79dRT2bdvXwRqpIJVXFxMXl4eeXl59OzZk969e9c/r6mpCWofF110EatXr45wTZWKXXUdd9ZlXhjTEMTIwU+bEvDf1kQpFXMiPYzqAmAJcISIbBGRmcYYF3AF8AGwEnjJGPNjJOuhlFJKdSWBAhhut7vF7d59910yMjIiVa1OKdzDM2ZlZVFYWEhhYSGzZ8/mmmuuqX/udDoBq9NNj8cTcB9PPvkkRxxxxMFVRKkOLD8ffl1RwAZycWNjA7lMMwX06we2fgEGAdDBAZTqECIawDDGnGOM6WWMcRhj+hhj/uktf9cYc7gxZoAxZm4k66CUUkp1NTfccAPr1q0jLy+PsWPHcvzxxzN9+nSGDx8OwBlnnMFRRx3F0KFDeeyxx+q3y83NZc+ePWzcuJEhQ4Zw6aWXMnToUCZNmkRlZWW0Tidm+d7lNaahKX0k+gNcu3Ytw4YNY/bs2YwePZrt27cza9YsxowZw9ChQ7ntttvq1z322GMpLCzE5XKRkZHBDTfcwMiRIzn66KPZtWtX+CunVIyZUGT1c5FLETYMuRTxOLOYUFQAc+dCUlLjDZKSrHKlVMyLRieeB01EJgOTBw4cGO2qKKWUUi26+mooLAzvPvPy4IEHAi+/6667WLFiBYWFhSxatIhf/epXrFixon6IzPnz59OtWzcqKysZO3Ysv/nNb8jKymq0jzVr1rBgwQIef/xxpk6dyquvvsq5554b3hPp4Np7eMaffvqJJ598kkceeQSw3udu3brhcrk4/vjjmTJlCkceeWSjbUpLSznuuOO46667uPbaa5k/fz43tDCCjlKdwd32fJLdjb+cyVRwtz0fZmy0CvLzrWYjOTlW8EI78FSqQ4hGHxgHzRjzljFmVnp6erSropRSSsW8cePG1QcvAObNm8fIkSMZP348mzdvZs2aNc226d+/P3l5eQAcddRRbNy4sb2q22EEajIfqab0AwYMYOzYsfXPFyxYwOjRoxk9ejQrV67kp59+arZNYmIip5xyCqDvo+o6erv9fwnry2fMgI0bweOx5hq8UKrD6JAZGEoppVRMuuUWOOUU8Amwt5Qp0SKPB0pKICurcRf6bZCcnFz/eNGiRSxcuJAlS5aQlJTExIkTqaqqarZNfHx8/WO73a5NSPxoOjyjb3kk+L6Pa9as4cEHH2Tp0qVkZGRw7rnn+n0f6/rNAOt9dLlckamcUjFE+jX/chYDG3r2YEx0qqSUCpMOmYGhlFJKxaTbboOjjw7PvnbssO4MlpSEvGlqaiplZWV+l5WWlpKZmUlSUhKrVq3iyy+/PMiKdl3RbEq/f/9+UlNTSUtLY/v27XzwwQeRP6hSHUWTL+dq4PDDYOyAHbzw8gvRq5dS6qBpBoZSSikVi2prrXkrI4f4k5WVxYQJExg2bBiJiYn06NGjftnJJ5/MI488wogRIzjiiCMYP358uGrc5dRlnUejKf3o0aM58sgjGTZsGIcddhgTJkyI/EGV6ih8vpwri4r42S+EsuMNCMx8eSannnQqaWlp0a2jUqpNxBgT7Tq02ZgxY8zXX38d7WoopZTqauqadDT9H+otX/nTTwwZMuTgjlFUBLt3W1fF3bsf3L4iaOXKlc3OVUSWG2NiPlPb3+8If+fTVXTlc1ed07c/fMsxdx9D1aAqMCBGMDbDSeUn8f6970e7ekqpFgT6LdEhm5CIyGQReay0tDTaVVFKKaWUUkrFmO27tzPuH+OoGlSF3WXnpf/3EjeOuhGAD5wf8MqiV6JcQ6VUW3TIAIaOQqKUUqrL2LQJNmyIdi2UUqpDefi9h3H1cBFXGccXl3zBWSPO4vZf387g2sHghPPePo/SSr0ZqlRH0yEDGEoppVSXUlwc7RoopVSHsmrHKgAGmUGM6zcOABHh42s/Jm5vHFWpVZz0wEnRrKJSqg00gKGUUkpFmNsNfka4VEopFSFF+6xhVPuk9WlU3rNbT+4bfx+44Kuar3jvp/eiUT2lVBtpAEMppZQKRRs6v169GlasiEBdlFJK+bWjcgcAA7MHNlt2xdlX0HdjXwAuePkCatw17Vo3pVTbaQBDKaVU5zZuHNxyS1SrUFER1cMrpVSXs9ezF4ChvYc2WyYiPHr+o1AMu9nN3P/Mbe/qKaXaSAMYSimlOrdly+C228K3v2AzMDye8B0zwlJSUqJdBeVVXFxMXl4eeXl59OzZk969e9c/r6kJ/i7x/Pnz2bFjRwRrqlRsq3BakePRA0b7XX7yiSczfNNwAO784k427NXOkpXqCDSAoZRSSgWyahWIwDvvwK5dwW+3fz988w3U1kaubio2FBRAbi7YbNa8oOCgdpeVlUVhYSGFhYXMnj2ba665pv650+kMej8awFBdWdmBMjzJHvDAqAGj/K4jIjx0zUPwA9RSy2FXzKZfrjnYr7BSKsI6ZABDRCaLyGOlpTr0kVJKqQh65x1rftpp0KOH9TiYDIwDB6x5CHfMw+n666/n4Ycfrn8+Z84cbr31Vk444QRGjx7N8OHDeeONN6JSt06loABmzYKiIutzUVRkPY/QFdDTTz/NuHHjyMvL47LLLsPj8eByuTjvvPMYPnw4w4YNY968ebz44osUFhZy9tlnh5y5oVRnsOy/y0DAXmknwZnQbHld3HHixOPgg2OhCjj8QzYlvxrJr7BSKgziol2BtjDGvAW8NWbMmEujXRellFKqRVdfzRGfFlqPU0PYrqqqcQZHqrWxxwMyKg958IGAm06bNo2rr76ayy67DICXXnqJ999/n2uuuYa0tDT27NnD+PHjOf300xGRUM9I1cnPb97BSUWFVT5jRlgPtWLFCl5//XW++OIL4uLimDVrFi+88AIDBgxgz549/PDDDwDs27ePjIwMHnroIf72t7+Rl5cX1noo1RF8u/5bAJJrk5stq4s71n91y++Cfx8LvwJOvYyKv/8P+fndwv0VVkqFSYfMwFBKKaWipg2jkISLx2Mld5QfaHm9UaNGsWvXLrZt28Z3331HZmYmvXr14qabbmLEiBGceOKJbN26lZ07d7ZPxTurTZtCKz8ICxcuZNmyZYwZM4a8vDwWL17MunXrGDhwIKtXr+aqq67igw8+ID09PezHVqqjWbltJQDd7N2aLWsed5wAX58ERUDKbvpPOpNFRbl4xMZmey6zUgrC1UJMKRUGHTIDo055OXz2Wfj3a7NBQgLExzefx8eDw2E1iVZKKdXJhSNY8cADrP7aejhmTAjbFRXB7t0Nz8eMofIArF4JSUlwZCubT5kyhVdeeYUdO3Ywbdo0CgoK2L17N8uXL8fhcJCbm0tVVVWoZ6N85eRY75O/8jAzxnDxxRfz5z//udmy77//nvfee4958+bx6quv8thjj4X9+Ep1JOuK14HAoUmHNlvmN75o/gpvfgS/87Bh1Ces/QFy10NfTxH3H5hFObCgaAazZlmra3aGUtHToQMYq1fDz3/e/scV8R/c8BfsaG2dtqybkAApKWC3t/+5K6VUlxfFDIxQTJs2jUsvvZQ9e/awePFiXnrpJbp3747D4eDjjz+myN+FtwrN3LlNctGxoktzwz8k44knnsiUKVO46qqryM7Opri4mAMHDpCYmEhCQgJnnXUW/fv3Z/bs2QCkpqZSVlYW9noo1RFsLd8KqZDbLbfZMv9xx6FQfBks/hucALMmww8PQ3ItJFPBHeSzgBmRaiGmlApBhw5gDM/YzNsTrwr7fg1CrTipkXhqcFKDk2rjnYinyuOkyuOk0u2k0sRT6fI+djs5UOvkQFU8B8qsx3tqnJTXxlNW7aS8xklZlYOqGltYOqZPTYWMDEhPt+YtPfa3LD7+4OuglFKdgtsNX34JEyY0Lm9jul0shDiGDh1KWVkZvXv3plevXsyYMYPJkyfXN0EYPHhwtKvY8dVdxeTnW7d1c3Ks4EUErm6GDx/OLbfcwoknnojH48HhcPDII49gt9uZOXMmxhhEhLvvvhuAiy66iEsuuYTExESWLl0a0ggmSnV0e1x7ABjcs/nfOX9xRxEwZg4Zn/+NfUNhQ0/IPwEeeN9ankND2kYEWogppULQoQMYzrJichY9E/4dezxWz/HV1ZG50xYXh0mOB6cT43Bi4px4nPF44px47E7ccU7c9nhcdidum5NamxOXOKm1xVMrTqpxUuOyU1Vro6raRlWljapSG5X/tVFZbU0VVTYqsXEAG5ux4fEz2eNsxCc2TAlJ1tyZaMftTMTl8E7OJOu5d+52JuKKT8LjTMTjiMdmF+x2q+lN3RQXZ92EajolJvovi4/XZjmqc9mxA7p3t74PyofHA889B9OnW38o2tHf/w6XXx6gWnfcie1Pf8T9n8XYj/9FyzsK4v9CrIyeWtexI0B2djZLlizxu155eXl7VanzmTEjYrdj58yZ0+j59OnTmT59erP1vv3222ZlU6dOZerUqRGpl1Kxrtxm/U0bmTuy2bLAcccsbrdl8sc39sIl8OB4OHmtNW2ioVlYBFqIKaVC0KEDGOTlwddfR/YYbndDMKOmpvHUtKy15z5l4n0u3ud2v9tVQc1+//v1eFqcjN2aS0s/tF1AmXdqIw9CJYlUkkgFSfXzKhJwY8dFXP1UQRz7iWtW7iION3FInB1bfBx2Zxz2eGuKi7fjSIwjLiEOR2IcziRr7kiwW8sTGqa6ckeid10nOB0Gp8NgtxnrosMY6zUCqzOTuvY78fGY+ARqbfFWpk2trf5lr672TlUGW00VcdUHiKupsObVB4gztcQlx+NITcCZGo8zLYH4JDtxVeVWRy1lZdbkcllXs3a7NTkcVlugtDQrnSYhASorrVsCFRXW+vHx1Nri2V3qJDPDkOh0W59J36mqCvbtg717refdukFWlhUZqltnzx7Yvh1KSqxIkQgkJ0NmpjV3uazXpGdP6N0bRPBUVLFvRxV7t1XSw72NlN0brIhT//5WnZ1O6xy88xqcvPOhg4SKEvo6d/D5Vw5KKhPJOzqRgSOS6JtZRsKGVeDxcMCRzqfrepN+RE+OYjnOHZvgqKMgM5P1y/fi/G4ZfeJ2wJlngsfDlp0ODvnuI2oT0iibcDLZSRWUmjSykyth1SrrtevTx3rd+venZl8F7n1lJLrLrWXr1ll1HzTIel2Ki63XrWdP6/XautX6bIiwY30FN/05kf97KIch5cus9ywz01o/Pd16T/v1o1HUbs0aDmT0xm6HhBVfs+/wcVwx4SemnFrJtPt/Zr2vq1ZBdrb12h9yiHXcHTus1z052Xp86KHQq5d1HjU11vs2eLB1LJcLFi60LvrHjLH2sX+/9R4kJjZEAL3nEbOeew4uuMB6zW+8sV0P/cYVH3L55ZP8Llv/5o8MBG6+cAt3+qYWhxDEXrsWBoa+mVJKqTByu93UJllR5LGHj/W7TqC447GzHmDwoxey6mMDJ8IFZ8CSfyRy8wGrWViEWogppULQsQMY7cFuty4OEhOjXZOQ1F+++F60Bzu5XNYFV91UUdF47vPYVlFBUkUlSZWVdDtQgfEuMxVVuGvdeGpceGqrMLWuRhMul3Vh7XIhbp+p1o1Uu7CVurAbFw7TfrcxBXB6p1BGOow0B9C8C6rQebBR7sgAEeziIb62nDhP4NfXBnTzTgCV9mScphq7x+V3fSdwps/zYXUP/MQYk4GTfesmNmzGCiwdBtQSR0VcEklPPQVAH6CKeJKoIeV+qwO77BbO9WASpXsC88EaTi0EvgO1ZQCvALzrndqBq8eh2Er3ItVVuBNTsOGxglHeAJmtf64V8DjmGCtQkpsLQ4ZYy9sz4FFcbM137Wq/Y3p9yEkEatxRVW3Nh256F2h+h7sRP9GJ55+3fgy3V9wilmNUSikVTSuLVoIDpEro1a1XSNtOfOR8Zm39iWvfuRsZALv6w8TfHM7mZ6fTL3ItxJRSIeiQAQwRmQxMHjhwYKvrdnl1d9sjmMcuTeZ1wvbh8njA7cbUuqg+4KJsr4uqcmuqqXRTfcBFTYW1rLbSRXWFG1dlrZU1USNU1whV1d55jY2qaqGmBuJttSTHVZNkt6ZEWxWJUk2CrQZHnMHhoGFygsNu8CQk4nIm43ImUetMxhWfTI1xUFNeg6u8Cld5Fe4DVVSWudhRnsKW0lSKSlJZvzuVKreDzDQ36SluMlLdJMbVUlNcRvWeMmpLypDqSlwOq12NpCSTlmlnQJ9qcntV0zu7mpJ9NjZutrO+yE5JqZ1aj50aj51KdzzFnkyK3RlUu+ykuUpIdxUT56nGgw03dqoSuxHftzvp3ezs22ddQ3rchnRHBd1TKsgZ4KDPoR4ce7YTt2sbqWlCRs8EsnonkNkznq+KevLc+9nsLfbQR7ZyWPdyeh9Sw86ttezcVEOCrYbc3rXMPK+GrEHd+O/+nowf4yLZVsnGnyrYtLqSNZsT+GjrkSz7zsnArL3cfeVWXJu2ceuzh/HvzYP4f4evQMrLGXpsJpWHDuCfzzg4omQJhw5JZ9IvKpn3wWD6JBZzuG0Nq7akMrx/Gd8U2ijuOYyxQytwb9pKuSuB2g2bGXJUMlWOVD78MpU0KWeLORTBcGzPdezdWcN+k0Jm31TYuZNsWwlbqrKoxYEbO5UkksZ++lHE94zARRwplGPHTQJVVJFANnuw4cGOGxseanCSbK9i/M+dvPZJNod6NrOew9hnz2aE+xtseNhILumUEk81aewniQqKyaKKBDLZSynppFBOT3bgxo4HGw5qSeYAlSQShwsHteygJ05qyGUj2+lFN0rozi6cO2uoIIlq4smp2ERvtnJgTTKj+YYEqildlE46pfDqq42+XqW9h5A66Wg8Aw8n7uILrKyULuxcCjDmObZutZJ6go0ULF/e+Hm8pwpDWrO/i52N0VQTpVSM+XqtdeckoTqhTdtf89Zd/HRpMU+89AT2y+1sPuw7HvhiHleND3+/e0qp0HXIAIYx5i3grTFjxlwa7bqoduBN0xeHg4QkSDgk2hWKDJcrXF0CdAe6Y0x9kkuAPkYEK2/AN3egGzC02R5PAG66H8AOtN7403eN/nnQHzgOuKS+NAnoDcBrt1itX3r0aJzmedv94HIdX/+azHCDSBYih1Nba7VcKS+3WuFYjsDlsvZ1iPczcv1eK4lqzx7r/HNzB1FcbLW4GTCg4Vgej9XCIzUVDhywWuD88APcf7SVKFBdbSUzHDhgBbQqKqzjbt9utfQYONA6bp8+cHYZbNhgJTZ07w6FhSMYNAhWrLCer14Nw4ZZrVDefdea9+1r3dT/8kurBUldq6C6lirLlln1HTwY/vUvq7VJbQrYSuDrtdY2tbVWC6Hu3aE4G576Dr76qnFnY3ZcZLCPI/mJQaxhIGs5butiDn/yDbIpxnX77cRNOwtuucU6eCwwBiZOhD/8ASZPjuCBGr4gDzwA115rvWfNvw34zcBoWpSwdi3F3bqRZUynDWIYYyguLiYhoW0XCUopFQk/bLL6/kknvc37uP/++/n4449Z9/o6mAbXLbyOo/sezbje48JVTaVUG3XIAIZSnVG4+zMUsfbZzv0khszphB49/C/zrbvvsMF1nek3BC8a1j/EJ8CVmWnN09IayrKzrcmX3Q5Dm1ypnnCCNc/NbSirO143b7uajIyGZcneOFBqKowY0VB+zDHW/Pjjrbnvcc70bXMDnH46fvluc2kbwrbGQGkpbNkSx7Zt2fz44y+44YZfUFNjLY+jlmm8wC8rP2Lqk88T/8wzyHnnwT33NH5Bo6GqCj75xIrGVFVF8EANEYj//Mear18PQ9uYYdBnzhy2zJnDbu/413usDvFZuTKEnZSUWP3n1Fm5kupqKyC3f3+bqhV2CQkJ9OnTJ9rVUEqpemt2rwGgR3yAHxdBSElJ4bnnnuPYY4/FvcxNzdgaznjhDJZduozeab3DVVWlVBvE+KWNUkqpgyXSMITysGEwaRJcc421zOWCBQscXHXVeTy39zxu4g6uc9/DlU89hOe997G9+w6MHh3dykPEe8X01+FxwEM2XTBlCjct/Jb7WVdf5Ni7l/5XXQVLl0JeHkce2co+/bn8cnj44Ybn33zD0tpRnHIKjB1r7Vo1JyIbsbqndgMuY8yY6NZIKdWeNpduhkTom973oPYzfvx48vPzuW3ubcT3iWd7r+2c+eKZLL5wMYmOjtU3nlKdiQ7wp5RSXVhcHJx3nnWzf/ly2EofrmIep/EWO3YKZsIEeOedyFVABK67ruXl7SHQcYI5/quvkl26Prz18cflvwNd5dfxxpi8jhq8sNvt5OXlMWzYMCZPnsy+ffvavK/c3Fz21KUAKdUF7Ki2Rvg6vPvhB72vm2++mXFHjaP62WriK+NZtm0Zl7x1ifb/o1QUaQBDKaUUYCVaGGONqPEOp5FHITuzjsT8+tfwyivhP2DdD8B77219nZoaePzx8Neh6XHCvW6YAzD6m7lrSExMpLCwkBUrVtCtWzf+/ve/R7tKSnUYpaYUgKF9/PZiFBKHw8Frr71G78zeVD9Zjc0Vx/M/PI/t+Nvrm6TabFZz04KCwPspKLDWCWZdpVTLNIChlFKqkXPOsTr/3E13hmxdyI6eeTB9OixeHN4DeTytr+N7xT5rVvNtvv3W6s21iXffhR9/DKUyDcdpFHMIpo5RoMOotsgAH4rIchGZ1XShiMwSka9F5Ovdu3dHoXqhOfroo9m6dWv983vvvZexY8cyYsQIbrnllvryM844g6OOOoqhQ4fy2GOPRaOqSsWEqnirv6Sxg8a2smZwevfuzdtvv03C/hQ8L7usvzDH/4nigQ9SXGz9myoqsv5F+QtMFBRYy4qKWl9XKdU6DWAopZRqpm9feOMN2EcmR279iH3ZA3CffgbP5/8YviyAg91RZaWVNvKb3zRb9KtfWf19BMtfPMAY4E9/CrAgSOFMmRg3DqlupSPTxx6DbdvCd8yOaYIxZjRwCnC5iPzCd6Ex5jFjzBhjzJhDWumkVkQiMgXL7Xbz73//m9O9Pfx++OGHrFmzhqVLl1JYWMjy5cv55JNPAJg/fz7Lly/n66+/Zt68eRQXF4f2qinVCews2YlJMuCCI/sdGbb95uXlkZb2Iqy2wVvewlOuhtFP1K9TUQH5+c23zc+3lvkKtG5npNknKtw0gKGUUsqv00+Hjz6C6sRM8ra/R+l+Yfodw/j6nv+EvrMrr4Tbb29c5i+74Zxz4LXXGp43DQD4PP+xsNYqWrIk9Po0EyDQcJAjn7hccOedbdzYT/DDuXurnxW9tm6F3/62frjZhx6CqVPbeOwOzBizzTvfBbwOdLhxDysrK8nLyyMrK4uSkhJ++ctfAlYA48MPP2TUqFGMHj2aVatWsWaNNeLCvHnzGDlyJOPHj2fz5s315Up1JUtXW70bOyod2G32VtYOze7dpzKG8+Ab4D1v4eRZMLzhirxu6HLfi/aiIv/78x3mvLPS7BMVCRrAUEopFdCJJ1qdexaRy+m8CUDerWdAbW1oO3roIfjjH+G77xrK/AUwXnihcUZFCxkMxxxjLTtQ0X7tKYwhpKyK996Dm25qUrh5c2SaptR18untsPHKK+Hll/2v6nbDF1+EvwrRJiLJIpJa9xiYBKxo6/6MMRGZWlPXB0ZRURE1NTX1fWAYY7jxxhspLCyksLCQtWvXMnPmTBYtWsTChQtZsmQJ3333HaNGjaIqosMOKxWbvi/6HoAUd0ora4buim4FLOJl/gLwFbAQEIOceV59JkZOTvOL9kBycsJexZjT1bNPVGRoAEMppVSLhgyxOvb8nGO5jT/iqCwDp7NtTRWefrrhcSsXctu2wfx/Bs7AsGEFAVzu8AYwwtm/RGWVtbOxLOV67oING6xfrX/+c1Qrd/vtMGECfP55WHYXS3oAn4nId8BS4B1jzPtRrlObpaenM2/ePP7yl79QW1vLSSedxPz58yn39vuydetWdu3aRWlpKZmZmSQlJbFq1Sq+/PLLKNdcqehYuX0lANlx2WHf9x3kk0wFvwceAeQz4GMwNgOnX4rjxNu4/Xbj96K9qaQkmDs37FWMOYGyTLpC9omKnA4ZwBCRySLyWGlpabSropRSXcIpp1jzW7itobCl4U+D0VIWwv79XHDSDq68qkm5TwBDvM0+DMKXX1qJDW0lQWZVhJqBUWcpP+MuboQtW6yChQuDqFRowYrKSmvucgFPPYVBWE9/v+uu8OYkdLbuMowx640xI73TUGNMh79EGDVqFCNHjuSFF15g0qRJTJ8+naOPPprhw4czZcoUysrKOPnkk3G5XIwYMYI//vGPjB8/PtrVVioqNpRsAODQlEPDvu+Ukoar7t8CzwD2xcDbgAdqj72FT9J/S9HmwENei0C/flZ3RTNmhL2KMSdQlklXyD5RkRMX7Qq0hTHmLeCtMWPGXBrtuiilVFeQkWEN+DFqFHRnJ7voYeXJ3nsv9OrVfIOSEnjmGSgs9Psrbe1aGNhSAGPwYD7avp1U9jcu9xPAAOHoo8Fub2hFESrx0weGvzhFqLELf/tt0468rr028LL//Ad+BezdB4dcdBEA/dkIZWWQmtqm46kpmtaIAAAgAElEQVToKG8yss5bb71V//iqq67iqquaRvbgvffea1YGsHHjxrDWTalYtr1iO6TBYVmHhX/nOTmNOrQ4F0gHzl0u7C83yBTh8W8eJ2HmRqqefw4OdG+0eb9+0NW+jnPnWs1pfDNSukr2iYqcDpmBoZRSqv3l5cHMmdbwqhcd+oFV+Otf+1955ky45hqrycikSc0W93znicYX8VubdE65fTsA8VQHrI9vBgZY/To0s2NHwO0B9u2D9eub7LeFxIdwDirSFhuKrMq1VMdDKprk5voZZlYppTqjEncJAIN7Dg7/zufOta6+fUxOSmLZPfdwpO1IzNMGKqCq90cwexTkfFq/Xle9aJ8xw8o26dev62WfhMK309fsbGvSUVsC0wCGUkqpoD36qDV/atskXLkDYdkyq5fK1ath3bqGFXfubHE/KaYcPv64oaBPH5gzp9l6e2gyzKUx1nHef78+gOHxOwiql7/sEB8jR8KAAf6X7dsXYKMQohgmUN3a2JdF3f7CkR3S1m2UUipWVYsV9O7XvV/4dx7gavzwP/yBr776irOPOdvqHGMTkLoNLjwejr2bnFx3l75onzHDyjzxeKx5Z34d2jJkbNNOX4uLrUlHbQlMAxhKKaWCZrfD//2f9Th74zLrwZ13wuDBMHBgw4rBjFJyxhmNn996a+vbGGMd55RTmmVgtEVLHYldcYX/w4ciYJwiypGDcHZUqpRSsaI2zvrf0ze7b2QOEOBqPCUlhdNOW0C3uMfhqVT4DLC54cQb6JU/gZG/bBgMqS0Xua2JxD5VaNo6ZGxrnb7qqC3NaQBDKaVUSG6/3ZqXksEn5z/ReGFdvxahDrMaLD99YHh8/pVNnBjCxXlZGWnUdQbdPKBw4ECAw4eSgRGhOIXfc4yBeimlVDS5HVZbwtyeue163IIC+O1vhZKSS8DzEyw8DQqA/fDV1q8Y9cgo/vTxn3jy2ao2XeS2duxw71OFrq1DxgYzIouO2tKYBjCUUkqFxOmEu+6yHh/3zEwe5MqGhZ962/xGangLPwGMHuzCQQ0AixdDGqVkUtL6vjIyKCWjWbEI2HDX7zPA4SPPz8F6sR2DMLHktYPaTx3NxFBKdRb7y/dDPOCBHhk92vXY+fnw64oCNpCLmxzW8z1Hr7kM2yOHwjJwGRd//uTPXFo4gIoBBSANnVgf7B32tl44h5NmgLR9yNhgRmTRUVsa0wCGUkqpkPmOhnEHNzU8+fBDa757d8TrcAoNoy5k0NBhxV4yKSGr9aYlPqOgNB1G9St+Rg3xzTYJNQMj3AGCkXwHwK93PdZs2cE0pVFKqY5u446NAEiNYLfZ2/XYE4oKeJxZ5FKEDUN/NvERTzGl4nbumHAHiS8kwi5wp22D35wLswbDgA+YxnNsIJf1RSFe+ftEDBYV5XIOzbdrr7v2mgFiaeuQsX76hm0k2A5gu1IQSQMYSimlQuZwwMqV1uNd9OAevB1j3HFHRG/rr/lvQ/DgSS6uf+w7XKkt0NClXgcONIpdNDNo71LGsLztlfQR7oyNcAcptClJbLLb7eTl5dVPGzduZNGiRaSnp9eXnXjiiQDMmTOHpKQkdu3aVb99SkpK/WMR4fe//33987/85S/M8dNhrlId3ebdmwGIc8W1+7HvtueTTOM0iGQq+Kv9Vm688UY2Lt7Ilc4r4Q0nlAK91sB5J/PFb8/n02FFeGwhXPk3iRjkUsTjzGoWxGivu/axkAESC/wFIoIJPjTtGzYry5pCGbWlqwWRNIChlFKqTQYPhsxM6/H13MObTI74MceOObgr7ooKSEmB664LvM49i38WeOEPPxzcVX8IwZ2iFu6eHWwYQ5uOxLbExEQKCwvrp9zcXAB+/vOf15ctXLiwfv3s7Gz++te/+t1XfHw8r732Gnv27GmPqisVNa++uwWA2v3x7X4Hurfb/x/suvLu3bvz4P0P8o9ZW7H/40b4KBHKYVMvw/lTIPt/4bpjYKcEceXvJ2KQTAV30LBdew7b2tamE53NwQwZ69s37J491hTKqC1dLYikAQyllFJt9sgjDY/PYUHEj+d2+w8eSCtZF3X277fmTz3VdEmQQYkmPXv63PT262ACBbt2Nd+4ocNSTZ1QDS6++GJefPFFSkqa9/0SFxfHrFmzuP/++6NQM6XaR0EBPPuyt++lyoR2vwMt/fynOzQtnz07m6efuIO+m3bx4APQ5y2gGEoz4d5J0PNaGPGzIp5Z8gw17ub9MAEBIwM5bAr5wjkc2tp0IlxCaTrRdN3PLgtvu4toDRnb1YJI7Z9jpZRSqtOYOhUmT7bu9lSQzHF91rF4y4BoVyugg20yYTym0U6qqxstDXo/Hk/b7iA8zqzAdQvh3LTpSHDk1sikqphbWn4DKisrycvLA6B///68/vrrAHz66af15WeddRb53ttrKSkpXHzxxTz44IPc6mc44ssvv5wRI0ZwXUupR0p1YPn54ErdYT2pSgYa7kC3y0Xk3LlWxMT3NniANIgZM2DGjBTI7cf/Li9iyTdwy+GwaDS4BsEPR8IFH17ABW9cTG5VHjecfikX/PwCEhwJ1g5ycqw2Ak3Y+uXg2Rih82tBCKcenIIC643btMk617lzm72JdasUFVk3Cur+p9UFrqD5+17XzKKunscUFTDqH7OgrulPSxvHuAAfiU7b+admYCillDooiYnwy19ajz/ZchgHHnk2YscKlGlxCU8whZdZwLQWt9/923w2kNvsAv6wVe8GdXyPp/GGoWZY7N1rzdesDWLlFvYdbMZJQMbQh83alCRG+TYhqQteQOMmJPlNcoOvvPJKnn76afbXpRn5SEtL4/zzz2fevHkRr7tS0bBpE5Dg7Ty6Mq1xeXtoS/uBuXORpCSOMfDRaihbAPPud5D2796wSyDRzcbM5cz+dDZJtyaRc30OFz18EV9ecyEmKbHxvppEDNqzQ8dQTr3VegXRmYPvKtA8IB+o6UTTZhZ30Lzfko7a7qKt/W90VB0yA0NEJgOTBw4cGO2qKKWUwmpKMsCbeDEgfxpP8ywn8WHYjxPowv12/hjU9iPeuqNZ2bF8isMTIFW3CeNunIHh+L6hs8+JLGp1+4oKyATKfK4xX3wRjjgC8nrvtn5tH3VUUHVpKpSgxq9X38PL3MB7W1YCg9t0vK6gtUyJWJKRkcH06dN5+OGH/S6/+uqrGT16NBdddFE710ypyMvJgaJEbxOqqoxG5e3GSq0IbX2g/Kp8koo3sYMclpTNZf+nM+DTA5A9H4bOhyE/YHq62ezYzFO7n+IpIO4yO4dtiuOEtS6m1vbg2OvuIc67v6aZBhFNLPCmQszYtIkZOTnwbPNsCd9VW61XS505eFfyt0pTRUVWkMQ3gaNpMCuHyLa7CCKRJKzH6NbNuqFUUhK548WKDpmBYYx5yxgzKz09PdpVUUopBfTv3/B4Z3EcJ/MBnzEh7Mc56MwDL987NtkE37nhSy81qU9lw6+o+7mmTXWZNg1GjQLGjLGmun23aW/BGbb7PwAk7faTc6o6rGuvvZZHH30Ul8vVbFm3bt2YOnUq//znP6NQM6Uia+5ckCTvcNqV3YCOcQe6gBn0qNyIHQ/92cgC6q44k2HP/8Lib+GRGvjr+yR+dBbpW3tAJbhS3Pz3SBf/OB2O/81OnKsvJOu6LI758zH87tHrqEj5AmwNfwciklgQ4tAXQXU0GURnDsHGF5pWqWkwaxOR67zD30uz8KICyrNzw5YW0/QYxcVQWQnPPtu+/W9EQ4cMYCillIotIvDWW43L/sBfwn6co1kSlv34BjBCGZp01crGGRi+TTBCG+LUTyDG91eZx8OYpf7vpIP/QE7Afi38LAhXIEjFluzsbM4880yqG3fOUu/3v/+9jkaiOqUZMyC7jze1rSq73TuybFEL7SaCySYAG5SdROXnL7H/iR1wTxXdXnqSkdtO5ZDdhyClgokzlCSXsMSzhLIT7oXLJsCNTvhtJkwZDhOnUpT6V5ZuXkp5TXlYTmnLBaENfRFUR5NB9AgaanyhogLOPRfKy8HpbCi/ibkcoHG7iwoJT9Sr6ft6DgX8rXYWKcXhG+e0q4084qtDNiFRSikVe047rfHzrxgf9mO8x6lh32coQr3w93ia7SA4b78d0nEgxABK3WloJxgxqby8+QXGxIkTmThxYrPyOXPmNHp+3333cd999/ndV48ePaho/WpJqQ5JEq1Rom66tgdzp0e5MnVaaTcRamsFKx4dT8lPF1K18UIeewzOOcfDV99/xetfvc5n6z7jy02rMD33QqaBXvusiRXAy/xsvrWfxNpEuju60ye1D4O6D2LE7lqOfPkj+q3ZRU5aX5Juu7PVpiBlAYaODThKSjAdTQbRI6i/VXw78gykuBgcDsjKsh7XZbvcQT45bGITOeSbuRSEIerV9CVosb+NNh6vq4084kszMJRSSoXN4483fp7N7uhUpBU2T0NqbTeaDz0ZiDEmpCE83njTf4Ag272zYUxXfyorW9yv+KlDm0YW0eFIlFKdRKWx/m72yugV5Zr4aOU2eUvZBOdQwAZycWNjA7mcQ+O79XW7sdlsHJ13NPf89h6+uOcLnp1cQuJj1XDXx/DEH+Ffp8Bnh+Fclwi7ADdUOiopoojPyz7nqXVPce3+Ak4+aRdDroDk8zeT8MO5JF2ZTtwlw5GzTib1rN8y9aE7ePLbJ7n24feoSP+GZamHUuvvSjLASQXV0WQQPYL6W+WT2QWYfoFfqzq1tZCSYm0DVhCjPw1NeD7vd5DBC2+2jcs0rsfB9LcRKIEn2sPXRpNmYCillAqbSy6BSy9teF5MNoLhCWYyk/nRq1gT5+7/e/3j+cwMerumgQPfBAZ/2RmVFf4DBLmudTBkCGzdGvSxGx3Xz7ECtBoItAOlYkd79HanOr1qm/VHsE92nyjXxEcrt8kDJRx8cEEBox+ZRZKxFuRSVD+MdkM/Gf53b311nOTnT2TTponk2GHuH2AGBey/9FK+r67k03T4PgPWZgqb06E4zeDKANKtqToRSNwPWSug7wrKgZdL4OU3gUnWcepyLBOrIaMSsirhkGob2cN60O3t2XRL7FY/ZSZk0uuYdK6fl8qjD6axbWMafbuncsecZGbMkOYn0Mr3v9EqPlkuthZeK9/X7NlnQxv6Nag/US3UYxM55BL6OKctJfCEffjaDiSoAIaIDAC2GGOqRWQiMAJ4xhizL5KVU0op1fGsWwc33wwLFjSUPclFMRXAyGRv2zcOkLVgo2l7kVZs29b2Kvhp+uGn30ZLS81EtAmJX8YYpIu9NibA5zrisYV2HTJBdWa1cbUA5BwSQ7egW2k3UfcRb/odOzY/H0zjzI1kKriD/EYX5YGuf30v8Ou+wxOK8smlkmOBY/cCe4ENpj4cvhNYC/xXYE0C/DcFXksZAynbIWU3pNRACpCMNU8BkqAy3pq2ZwB4oHwpLF8a+DX5jTXbDFyw3sYVd6WSGp9KWnwaqU5rnhafRmp8KqnOVJIdySQ7k0lyJNVPyQ6f5/f/geTkCpKckFRbN1Vwh7Feq3MoaNRM5L5uc5nhM6JJa3/bgv4T5Sfbpu49uy9rLveVzSKuJkC0IcAf2pYSeDZubDisv3PozHHhYDMwXgXGiMhA4J/Am8DzEOXGyEoppWLOYYfB88/DIYfAvHlW2eccy3k8w7OcH93KebW1E8tm2/lc5I7gh+brGw+TebPFfcZRSxwN0Yft26FXOJt2+OvEU5uOBJSQkEBxcTFZWVmdOohRXGwlANXUgMNhSEsrJiEhodE67RJbCGLYRKVa43K5MPHW37Wc7jEUwAjiNrnfhIPzAvQj4dMUIZi77b7f4YDNGLCS8np6p2MNUAkbK/vx2u5l3jUMUAps5g9/2MyDD26itnYzyBaI3wqJ20ntvosDnhI88R5IABKbTPHNJ4/DQ2l1KaXVpS2fSEsm+y9OqC0ivjaVT2oPMMllSHBBvKuIeM/5/PKeu4jv048x9yQwIS6eBHsCn8fFs/yDBOLt8STEJRAfZ83//Ew8FYcngDseXAngiqfClcDvH4zniOMTrHXt8ThLi3CkgtMNDrd37oF+poh5e2ZAAf4jCi38od20yf/fwLrMmxkUMIN8YBOQA8y1SsP0tztWgyDBBjA8xhiXiJwJPGCMeUhEvo1kxZRSSnVsDz4Io0fDhRf+//buPD6uut7/+Oszkz2FtkmhpUsSSpF9r6CArF5ZFFBRoaZYUFqBC4J4/YnU6x64LoCgbEE2aSwoiIAWBKTsi5atBdlpkqYtXZJuWZptvr8/zqSdJDOTmcmsyfvZx3lk5sxZPt85S8/5zPf7Pd77BZzFLcyliHjaOqRGtAu5qOLsA+Orm2/kS9wRdZonOI5P8ey29+vXQyItuBO61x7BN+iJmjp1Kk1NTaxbl539tyRDW5uXwOjblQMBePbZIsrLp/Z7JHJacgujtSe6bL0zyFEtG1q8m2JgfPH4zAYTKlIVi6G2dYSaG6v8FVgg9sWEHsORmjGsp5wSOvp1MtlGCZcTmh0xYByVleP41a/248ADQ4o0cXssd90V4JvfbKGjYw3wEbCG/Pw1nHDCGiaNaaZlfQvNzc20tLTQ0tLC+pb1dLrO/omNAvq/z48wFHh/LR98wb/kQyAfAgWwNR/Ib2VwQ80AdLwB770R/cvrc3j40WuAj4f2+3VJ+OnMQf7PCynwF5B/fj4F/p0p8AfIb/4hBdf/nPx3P6Bgdne/pEdBbzv5T8yl+Gt/pb01H3oLoDf4N5DPDqUF/OC6d8l/aBEF07rJnwJ5gQbybjyHvE3/ZP79h9P+sTxvnkAeBPJoD+Tx7RvzmHBYHvn+fPJ8eYOHRY+Qf8215DWtonPHKTy4+TIaOs+AwjwaVucz9/w8el0eZ1X7M5rgjzWB0W1ms4A5bM9z5acmJBERGSl23rn/+zG08jRHcXiSHoeaqHOGSCpE5BzOxd6FxOSe/jdh4eYLTV5snzDOC4Pubj5985fimwfUiWcY+fn57Bp6F58m6byfraoKX6u9shLOPHP7+7TkFmJ6NMEIo2YzSdewpgEMfF0+/D5/psPpL4Y+HQaJUHNjam0NgZAmAlVV0c8Zocfq5dRwC/MGJSou5lqg/9M4LqdmUP8RoTU+IhXpf//XR0fHBGACsA/gdZy5bNmAR633nfC2dtExdRot3/0uzUcfvS2xsWhRM3/4Qwvd3c3A5uCwadtrs02UlGymo2MTgUCA3nDfYR79Ex55wcEf8jrc+zzAb5CXD3l5kOcHvw/yfJBnwcFLmozbyeF8joAvgOvpItDdQcAHvf7tgzPo6u2iq7crXJRQFn40dAD3hv1kM1CzAThy4CfdsO52OPL2sPOtA04c6smtp/e9WAlcFBy2RzTnA5jzU/Cbnzyflwy5+jNXM/eQuYOXlSKxJjDOAc4Dapxzy81sV2BB6sISEZGRwDegh/Je8jiC57mC7/N9/i8zQQ2DEV8NjIHyPmpKYjQh1q1j54YlqVm2pFy672djTUykJbcwGnuiU7OZpGtc6+28eT0j5PkEQ9TciPWcEXoMh3tsaGiiou+v3+/VyioP3li3tHjLOflkL5yzzootYRJx/IDgi1esYMpllzEl5Gkjl17qJT4icQ4mTIDlyx3t7e1svv12Nl15JZtXrWLzzjuz6cwzaTvkENq+/W1aW1pog35Da0kJbZ/6FG1tbbS1tbFsWRs9Pa0hU/QAXcEhvADE9gwzw0uS+PGe/+kf+n1ecPCPLcWRT0e3H2d+fAV+xo73scM4P76mRswPPr93rWUhwweFe9Hda97ytg2OvCLHbjMczrwhYAEcjgABAqtWEAj0EvDhJWGCf7v8xhZfKfh6+w29rpfe3l46ezvp7omysVIgpqPcOfcf4FsAZjYe2ME5l3tXniIiklbTp4cffzlX8gCnsR/LtvXSnRPirIExsK+JnS+eFfN6kibastSEJCv03c/262yuvYKrL97e2dxwhdbw8PmgN8xPlgMTE2nJLSRaxT6XjdZmMynU1OwlhwtdYYYjSaIoNTei5sDYfrC/UVbBRfk13NG9PUkR7skcfUpKBj21FEgsYRKq37klhgReLIdCYyOYGaWlpZReeCG7XHjh4In8/vAnsQGFHPhji5e4aMWrc9ABbN32eocdvNdbtmylvLyDU0/dyn77ddDR0cHWrVv7/Q03bvXqThobu3CuE+iiiE0Us4kuoBMvddI3eMmU7QJ4fa8O3Q35W2HH9gDvDDnvQC74XQwQkhzpntANh8W94ITF+hSSJ4FTg9O/Bqwzs6ecc5emMDYREclxu+/uPWxj0qTBFwgv8Qle4rDcSmBAXMmFRDsLTb1sjWtkGdgs5OSTYdGiwffpjY1e8iK0encVDVzZPM/r+G2YN/MDbz7CJS/CJSbSlltIpIp9LhuNzWZSbPWG1QAUU5zhSNIj0g3+EQ39D/YxzQ3cUjCPHcrhdy3VlJXBli1e5719zLz/1iorIx/fsVYaCk16hiZk21sroC7khBdGoKGRhXXeJJEOkVAxHS4xnsQGr6+AgW07+r6f0HNpczPccw8cf/zQp7C+/w8Glmsr8AXq+KV/PlMDjQSmTaP7Jz+h84tfpKuri87OTrq6uga//vvf6brqKro6O/FSIdBZUEBXdTVdBx3ECy908vDDnWzc2E1xcQ/OdbN1azdFRd10dfUQCHQD3uD393CS72+47g668RIdfZ+2UcAy9to2xufrJhDowUc3JUXdmHWzQ/EOMWyMJHLODTkArwb/ngv8JPh6aSzzpnI45JBDnIiI5IbtPWD2Hw7klcgfZtlw2czHXM+KVdver3/g2ajTv1B0TPRlhvlili51zi1cGHW+f439dP8vd+XKiNO+t3jFoG3x+s7HOwdu8eWPpmhbs8Rl+BohliGV1xELFjhXUhJ985eUeNNVVjq3nMrwE1VWDjuWygiL9vudM/M+X7Bg2KtJv74vL8sKMWRY4XaOvp1BEnLOr89x/Bg3/fvTMx1KWkQ6plf4I3wQch5J5LAxC79Ys8HTLljg3EXlC1wrEfbxCMEvp3LbJEOdP5N9uIRb3ywWuOVUul7MNVile+b8BRG/96FO07H8fxDuu4wp8CE2Zizr7itvm/WfsLugxF1UvsCZOVde7lxBQXpPW5GuJWL6Dx5Yhtcp+qPAx4PjlMAQEZGYXXhh+P80ffQM/T9rlgzfO+Qx19O4PVkwVALj+aJjoy/TuUHjli51runXQyUwju//5TY1RZx2Mk2DtsVSJTBSfh0R6UI33IXvggXO9RLHHUKc4rn5iMfAa+dnzk9jQiFLkwAxh5WlyZdc9bkff87xY9yBPzww06GkRaT9LJCi80jcN+7RZggTfCslbhYL+i0z9BApL/eGVB4uoeubW7rAtYVJwHw1GGNocmM5le6rRA8olv8PkpCrTnjdfcMsFrgGq/T2owFfdKLJm+EYbgLjy8BS4Mbg++nAfbHMm8pBCQwRkdzR2+tcR0ek/zgD7mmOjP1/2QwNlx3yqOtu2J7A2HDzPcNbpnODxi1d6tyy+alNYGyrgTH/sZRsayUwIicNBg599xVbyivDT5DCGhiJLDr0B9TQMs4iyi+uqRDlV9xM5gMycZE/qgV3yCOOwPFj3DEX75XpiNImbA4sFTvgggVuS/n2m/W+REPUw3uorOmC/gmAvmWGhpvRpF+E73GFvzLsua7Nop/rhvr/IJWnylj/Lxpqd0lVIjyaYSUwsnVQAkNEJPc0NHjDwP8E9+At9x/2jP9/2jQOlx3yqOtaHjlZEPfg3KBxsSUwBjQhiZLAmEKUJiRKYKSk/M7FVwPDOZfSGgXJWnS0qsipaAIT9X4lwtV0L5bMry5umbjIH7ZcrQ0SskPuc7yXwPjiMf7ciT8Vkn0eiVBb4qLyBdEXGUMiZahzZL+w013jKsKBHAg2J4n3XBetrCk75ILHdaQkUbQh3PkqF2tgTAXuB9YCa4D7gKmxzJuKATgFqJ0xY0Zqvi0REUm5iPf0iSQC0jRcdvA/RkQCY+nOxzmHEhjZ0gdGv5lSdCMZ96LDzFBZObjqdN9FcbKbwAx1vxKpxspyKtNyYR1JztXAyNKmODEJ+bKnfc5LYJz38Wz+stMkmeeRZHb6MGC/iuUcuW016T6woqwvkWY6aT/Mhmimk5/vNckZ8nsfogx9eZ5UJWGGm8B4DDgH7ykkecDZwGOxzJvKQTUwRERy1333hf+P8zv8KvoVTQaHyw56xHV+sCJ5y3Ru0LilS51berkSGOkYUn0dMfA+4vzzE7uvSPsP5BGutn/H+YOqTvddFCe7BsZQTejPzh9cjTv0Aj30fiIp31+UhTxz/gK3wu8ldRp9le4s/4KBX11CtV3Sss1zLuMSIuRX8rIveQmMH+1Llld3yTHDqVIUYweT0WonbFtNuqs2Rcs4JHjMpPU8HmMTu3gTK5GaECZ6nhvKcBMYr8UyLt2DEhgiIrmrJ0rfnQs5I/KHGRzafSWu870w7V8SHZwbNG7ZMueWfv+PUecblMBYETmpogRGbl9HZOQH8ggXv934w47vq4kRLqGQaKDR7lf6wotUGyT0fmKo7y+mm4owC+nrnT9SueeWLkj4RiUl2zxSQXOyzUtQyH5acpaXwLh5BrmRfMkVaUpwDbmaTCTaIh0zuVBrKdpxPaBcfU9XiSfRnq7NMdwExuPAbMAfHGYD/4xl3lQOuXDhISIi4fX2hv8PEJzbkY2RP8zwsOmZ11O6/KVLnXv9svgSGN3LIycwptI46LvvS2A8Mf/xlGzbTCYwgBOBd4D3gcuiTZuK64imTU1u8fLF7rlbfuj+dcgk99ok3Jv77+Leu+3Xrn5DvVu5eaVb17bObezY6Nq72l13b7cLBAIRlzfUhWJKftWL2P47/D7W1+/EwIRCtW2/iY/3CSWRyu0Pn0MZNMTyY2nM9yFRfs2MVPNkhb8y4a8/6TcHKfg1OSuElHY9COgAACAASURBVCtvrpfAWDS9MLtuJHNdmm7Wh1xNtiUNQk68W8ortz1qNGu6kIl0XJeXR/0eY/2a05X3jHQtYd5n0ZlZBfA74JOAA54HvuWcaxxy5hSaOXOmW7JkSSZDEBGRBDkHPl/kzy/iOq7j4vQFFKOXb3+dQ845IGXLf/PZFnr+9g8O+L9ZEaf599hP8/GNj217//QfmziqelrYaafRyArX/7M3dj6OfdctZvH8xzn258cnJ/AQZvayc25m0hc89Hr9wLvAfwFNwL+BWc65/4SbPhXXEdXXXMUfN/9PXPMYRr4vn3x/Pnm+PAp8Bd5ffwENH+ZDb99QAIE8729vAQfuV8DS1wsIdBUGxxWS58vnuGPy2X/vAvL9+RT4Cyj0F1KUV0RhXmG/10V5RRT6C/u9Lsoroufjx1O2fiVFPVDYC4U94HeA3w+9vYPiby2vZGJHPe3t4cs3izpuYR6lhExQUgK1tVBdHXaeujqYN4+IywzH74dAAC4sq+MK5jOmpZF6V8Hl1LCQ/usxg4oKaGgIv6zKSqipCYbn83knrAECGAA+wn/mc4HYgw8RYXWYeeWLW1VV+IL2FXLgFz3EtskqdXW4yy/Hd1ojlMPSKVey37mXZTqqkaWuDubPh8ZG76DZdmCkeTVpiiMe4c5TWXH4RAqsuBiamwdPX1kJ9fVRTxX19dvfxzrdcEW6lsiLZeZgouLUAQu8BPhNcsITEZHRxgx+/Ws4/nj4ylfgvff6f/5bvsUaJnIPZ2YmwAgshsT/cBR8tIKeJC7PBW+yRolDgfedcx8CmNndwGlA2ARGstXVwT23vgsfB3xsr7fqj/7e+RxdgS66Al2DFzoh8vpe2wrs0X9cD/DoJnj0hWEU5OzBo6wX/IEA/m7w90BeD+T1ekP+DpspZVe61hXQs7UAuguhuwh6iqC7mM3dT3Bhdzsl3TAmOIztbmfHa7/FjnsUM650HOPHjGf8mPGUFpRSkl/CrK8WAz5euriOS5vnU0EjjYRPRkDITQP9L9yraOAW5gH0m8+5yMkL8D6b583GaWUVjGkePHEjFdvWMdAqfwVTIy8+qkiJlQpvdfHfxzVG+L2xsXH7jFl2Yxiz6mq2nHIK1IwFYOKsr2c4oBGoujot+8OQq0lTHPGYP39wkrW93Ruf0VAjHddnnRV++uA5ItqpIlSkvGdNzTDjjlFMCYwILkUJDBERGYbvfMf7+9ZbsH49TJrU//M/cQZvsRdLSV2Nh3ilOH+R0DoszhyFi3eG3DEFWBHyvgk4LHQCM5sH3h1tRd8dYZLMnw+9Dcey15u1OAg/TJ+Oc47WVkdLS4DeXofPH2DH8Y6i0gDOHAEL4Hze384eR1uH86pA+ALeX78jvyhAd28v+APg7w1+TvgkSV7I37ww74f6LB+cH3r8jp78cCXf4A2l4b+Xv0f8xlrg76dH/NR6wL4BN3VDXhfkdTWQ3zWb4s4L6egqh84S6CqhyDeGvT+2I4+3jGXJwvsYP6Wdsi6Y0AkTumBiVzuXdn6Phd2zgl9KbPpuRF6ihisH1CBpo4TL8a7WB9YuaaOE+nk1CScwot0cDPxhNTTREvGGaaiMSBbeGMajubkZirzX44vGZzYYGVViveHPiHDH9fz5Uc8FQ50qQhfdt7hM5D2Hk8AYsVc/IiKSXn4/TJwIf/qTVxsj1DL252T+ziI+m5ngBnCBzGcwJnStjGv6gSxMlfcRIty1Sb/COudqgVrwmpAkc+XeReuZLOKysL/KU1kJH3yw7Sa0rzVGoBe62uF3vwl/ATjoF/efetNVVcHhDdubZwSAXmALxRT8/rds+u5PKN6wgl68mhm9fcPkyfQsXkxvby+9vb309PRse33YYaFTdwNdQCf4O6i9rZ32znbau7yho7uDrd1b6ejx/m7t2UpnbyePP7mVzkAn5HVCfie75f8Hl99Ddz505UN3cOgpMLoK8+m1XsgPQL6DfLYNLs8bAsFIttsYHDxbgSXAkhbghEhbZyUE/N7EHX7YmgdbC6GjGLaWwtYdYetY6CiDrRNg60TomETDlsn8tmMvVtpV/MpdSRUrwtYEuQKvlsgqfwX182o48obEr+Sj3RxUVSXwi2+mfy5NsRVrV4APfD0+8v1hM2wiKRHrDX+yDLsVzRDngnhOFZnMew4ngTFir35ERCQzvvxlOPpoeOqp7eN23RUeXn4yf+AsvsZdmQsui+za8Va/99EqVERNVoy8mhhNQGiHH1OBVelaed/F7OXUhO/zIXgVGG+149ALxb4L2LPOgrIyuJL529bjCw5ldND6vZ+xy4am8PUNVq+Gj30s7NVwZWV1+LbNU2Hu12L7HgbWEjg0Qh8Yz86p5YQ7q0O+C0dxcRe/+U0HnzulnY2VU9iQDxvzoaUANhbAxkLYUADXFH4dX/Em9jloC2PKttDW3UZ7bzsdK5fT6e+lsxC6C6An2D2IK8BLjJQAJX2pnE5gc0xl+ksA/tIOtPmgfS20Xwxt/wvtZdwf2ImV+xzL0TOnsdvOu7HX1N1Zu3Yt5eXl+P3+2L60ASLdHCT0i2+mfy5Nsab1TQDkh68eJJIyackNBs/TrqGRT1kFh7saGqiOrfbVQEOcC3LlVBE1gWFmWwifqDCgOCURiYjIqPbkk9vvq7/8Za9Du+XL4WKuzYoERlqakMRZyTHePESq+/HIoH8Du5vZrsBK4Ezgq+laed/F7MJ272qv71f59vIKxly7/SowoZvQujpaL57PrOZGjuirAdBczTTCz1TS7PUZEbYmSEVFxLYIC+YwIKkQ/wX5wIvg5yuqefVkOHJR/6vi2fOrByRyjI6OQq64opB588YxeXJl2J8366nkL5W3UvPdwRfWz15Qx0E3Dm7S8er5tXz14S+wYt0qKFoFxaugaDUUfUTphHV8bP/1vP7OBgIFm6BoCxS3QVEHeTt00VvQjSt0MAYYEwA6gkMzsJytwNPA0yvwGjC9jFfTYwsUdhWyIztSXlDOLmN2oWJ8BTMmzmC/iv04YPoBTJ48mYKCgpi/26i/+Eb7eTaJP5dmW1+KK1u8GmmFrjBzQciolPIb/pDztAEVrn+fPgn1tzHEuSAXWpRFTWA453ZIVyAiIiJ9Nm+GSy6B666Dc8/1xm1kPIewhJdJ+8Mt+gn0pvbm33BpSZKMRM65HjO7EPgHXu8Ntznn3kzX+kMvZu9urOb5iuqwF7NxVzsOXsSOCdMxZaQkRV8zh3D9M5TW1ESsBnLkovnU1lYP+4J88EVwdXAIiTF6f3IRf96sqq2hPkI8sxdVczjbk0d938Pzi6q5sgbmzZtBe/OM0MVx82VerNFuzO9Y0Mn8mjWs2vgh5dM+5FMn1jN+ShMfbf6Ite1r2bB1A5t6N9Hma6OzoBNX5KAIOulkXfDf27ztJTYagsMTwCZgQwG+LeOZNmYyh+4+g/2n7M/hexzOXrvvxaRJkzCzbbEd3lDHkwPK9kBJNQtOTqRzjPgl1AdHiq3esBqAEl9JZgKQUS2lN/xhztOltHMF87c1YcuK/jbSLKbHqGYrPUZVRGTku/ZaL5nR5zBe5EU+mbmAUuz9e19jy0v/4aBfDVFxIOT/7+fuXsERs8Lf/YZ9jOrE49h37WIW/+CfHPuz44Yd80CZeoxqvDJ1HRH3o/ciPLOunsqIzVW+VVzLb5urmUVdv5v5q8truG59dQqe1Rm/mB7FF+fP/UMVKx21B5xztHS0sLx5Ocvql/H2qrf5cN2HvPZ+Ex+sW4MbswHGtUJJlOcNOWAj+Db4GNMxgS31Vey6roTL1j7HMe3d7Ir3K2S7lfDKebVe7ZY4n2uYyHeRrscnxmN2zWzqeuqY0TOD93723tAziOSKKI9w9uOdpzN57KXasB6jKiIikikXXtg/gfESn2AyK1nFlMwFlWJx/7YQbyeeOfzjxUgQd7XjCD+xVdDIQqqZUA7Xjem/sMOo5tZgc5a+X+pKSqD22r6Z09f7XKQb5Zjaj8f582Y2PHDDzCgvKae8pJyZ07Zfe1dVgQuNrWALjH8Pxr0C41+Dce/A+AYo+wjKWmG8IzA+wGbWwj5r+ZDg43M2gX0EO62GfT5q5+i/X4CvcTMH4nXx0U+EfSfRmhTZ+NSF9a3roQh2LNgxc0GIpEKEE1rfI5xHUF+8cYn9WVIiIiIZEK4PvNVM5iQWpT+YNEn1Y1SHP6MMS10d1fOrqG/0Eaioor6mLvpNdYSkQiMVlJTAYddWez/BBQLe3+pqqqu9Gh2Vld5mrqwcUMOjpsa7+g3RRgnfaq2hri4ZhfT03Sg3NHj7dd+Ncl0dQ8eYgDDFypqL/EE3+V07wJqD4Z1z4cXfwSOPwcJ34frNUNNJ0e/f5rxxd8Fj58OrRzBpBfi7gLHg9oC1x8DiM+HHX9/MEd+D0tkw8VNwUgVckwdLgc3jp1FV5f2QW1XFtm0brSPZaCLlt/qNr6sj7EpTpKWjBYDxxXqEqowwYU5o7VbCfGqScr7MVUpgiIhITnqEk7iL2ZkOI/NaWhhT/0ZCs6blkbDSX7Q7+pBJQu//nj05fLLh6vKaqBew1YPzGv0/rK2ltbySAEY9lczFa3YyIJxhGepGOWqMCUhmUiTZ9+FxVW4J5LO1aQ8evmY2lU03wAPP8sKtlXReCW//Fm6/F2Y/C3t+AIXteF3rz4C1x8MjX4dLL4MDzoGyA1fTkHcELv9XNDQsZe7cAHV1idekGDJBFMP+nWybu7wnyUwonZCydYhkRJgTWsldtdS56qScL3OV+sAQEZGsF6miQAGdXM4V/Irv0srI6Hf6/T+/ysYX3mLm1TH2gbHbbvDhhxEnC9cHxps7H8s+657kiR88wXE/O3a4IQ+iPjCiGKITgUj9Y/xjTt2gp3gk4+o11X0aZEFXGwmJu5+SKMvpaz5TVgZbtkBXV+zzm8Fdd3mxnNYe/nG07uabaTrlaBbfVcMDT93Fizu1s2rigAX1AI3Ae8UUrTiSkvYzaGn5LDCp32SxbPeofWdkoJOMKXOnsGrqKi7c7UJ+O/u3KVmHiKRfpGsJ1cAQEZGsN2cOjB07eHwXhfyYn9DGGO5gTvoDywZRkhdDUQuSDBjip+9INRZmLxq6qkIiNQZS3adBTE0OQqS89UGMK0i0icXAVYVWRmhu9v6Wl3vHXnn59tfhmsqB9z31/Qj7fGU186ilyV/pPWo5WL3EZs9m2thpfO3Cm7jvz22svMHR/P+a4Y8PwHNzoWlX75k804ETOth67mO0zDoXjtsFJu0LXAF8OLipTYTvKmqtmQx0ktEWaANg0thJQ0wpIiOBEhgiIpL17rgDnn/ee33NNeGnOZffpy2elHKOZNaNtGhLy+FamDlriDv6RO//Eq25H2+CIV7x9EmR8tYHcawgGffh4ZIg3d0wZox3879+vTcEAnDnndu/p1nUsZwqevHxRmuV12dKMGlQ56qZ2lOPue3Zg3B5hrLiMio7T4XHauH3H8Iv18O9dfD657GOUtgJOAo47024aD4ctRtl0/fno4+uYs2aNdm7Q4Wx1bYCMLlscsrWISLZQwkMERHJCXvv7V1Hhz6RJFQveRzJM/yU/+VOvpbe4JLI54OkZjDCcH1VL5TASL8h7ugTvf9LtMZAqju9jKdPimTUeogqjhUk4z48niRI3/d0UbnXTKSKBnw4xjRHTxxEyzP027Yd5fDGVyn5x/3cvu8GHjvrMb5xwDcYlzcOyoHjoOlLy/ifZf/D5P+azBfOm8vD7e30hq4swR0qFZ3DhuryeW1ypk6YmpoViEhWUQJDRERyzt57hx//HEfyI37K2dyZ3oCSyO8n5YkFh9qOZMwQd/SJJhQSrTGQiieBhFtHLB11prz1wVArCKnK8EZrFWfn97/jjjexE28SpLraexxuvz4uIGriIFpOJtK2nTM7n09P/zS///zvWff9dTxc/TBf3vPLFFgB7AqB0wP8dV4HJx8Fu5XC74C2voXHuEOlunPYPlu3bsUVeufLyeNVA0NkNFACQ0REcs6DDw49zQVcn/pAUsBnMTYh+cMf4OmnE1qH0hcZFuWOPtGEwnBqDCT7SSCJSnnrg2grGFCVYUxzA7fYPC4qr0s4sZNQMirOLM5Qkw+1bfN8eZw440T+dMafWPv/1nL9ydczyb877AgcBw2XwEUnwpQdYD7QMmVKlODZttJ9x9TjJ8Cu1LMQb6VJrU0TtGHDBijyXpcVlyV34SKSlZTAEBGRnLPbbttf3357+Glu5AJKaeUFPpGeoJLGxVZDYs4cOProBNcg2SyRhEKqm4KkQ8rLEG0FYaoy5HW1c92Y+QkndhJKRsWZxYk0uXPxd4I6tmgsF3z8Agp+/w7H3nkZJ73jg3zgE7DpYrjis1DVtZ6amhpaW1ujLitdfXk2Nzd7j5AFxhePT+7CRSQrKYEhIiI56ZVXvIvzs8+O3OKinVJO5UHqqUxrbMNhXV3ktW9J2vIu5lro7Q37WdQOPiWnpKMpSKqlvAzRVpCiO+64k1FxZnHCTd4n0U5QVzQai5dfybiFf+DvN+7Cl98A8wMfhy3nbuUHj/+A6XtM5+abbyYw4Fm4fa1wIp2Tk92X58p1K8EP1msU5RUld+EikpWUwBARkZx00EHw1a8OPd16dmJX6rmNc1IfVBJM+PklHFL7zaQt7ztcDb/5zYCxXg0P9eE5smRLU5DhSHkZIq0gA0/PCCvOLE7o5OHE2mwj9EkmvuDdwUKq+eyaVfz5Xoe7/j8UN3wBCoBjYN2sdZx343kcceQRLFu2bNsy+lrhhJOKGkHvNL4DQGGgMLkLFpGslZMJDDM7xcxqN23alOlQREQkSxx6aPTPL+VqriHCI0yySNHSfyV/oatX989W9LVQUQZDMiDcYz8zLpva4MSZxemb3CK0PIv3EbzhKmyVtO/FLcf/hafOfoqZk2fCDsAX4MXdXuTAYw7ke9/7HpdfvnVQh6J9UlUj6IOmD7z4/BGqoYjIiJOTCQzn3EPOuXljx47NdCgiIpIl/vu/o3++iXFcyjXpCSbbXHUV7oort73VU0gkU6I99jOjRkAbnGQ+ghe8JyIN/CqOqjyKl859idtPu51xheNgBgTOC/DLp35J44pPAO8OWo5Z6moEffjRhwCMLdA9gchokZMJDBERkYHOOgveeWfo6WbxR1oYfZ29bf51baZDEIn62M+My/E2OMl+BG8gEP6r8JmPsw88m7cvfJtDx3zZa1ZyElD9OpQeBPyx33JS2QrntXqvvcryV6dmT20eEUkpJTBERGREMIOPfQyeeCL6dHczi4ms4V5Opwd/eoLLAu1tg5uLqBNPSbd0PZ1iNEr3I3gff2Aib/zwT3D3/dBeBjOA89qhshq4AOjpl0BJdtOhujpoalvtvdmwZ/bU5hGRlFICQ0RERpRjjx16mh7y+TL3kk9P6gPKEhO7V3h3NYsXqwmJZEy29JU5UqXiEbyREg/batO8/Xm46XVoONLrG2MOcOSNFBV/kd/+tp3q6tQ0Hbr8cgfjN3hvWg4Asqg2j4ikjBIYIiIyqu3B23yCF7iTr2U6lJTy9dW2uPpqpS8kY7Kpr0zxRKu5ESnx8OwFdTzZUEUvPpZTxazNT8Gdi+Hp+d5CPg1bP/MQtbceR3Nzc8SmQ7NnJ14bo7GxGcqCPY5u2C9kfMJfhYjkACUwRERkxDn+eO9vUdHQ077LHrzEJzibO9mbN1MbWDb429/YsXOt91pPIZE0GwF9ZeasaE04ItXcCJd4OK29joNvmkcVDfhwVNHALcxjVuAeeOLn7PTE/RT5i+AgeGnGS3zy2E/S0LAqYlyJ1saYNKmRbd0Ztey2bbxq84iMbEpgiIjIiPP44969+ZYtsGkTHHwwnH/+0PO9xd7cyHmpDzDDxndEvpkQSbUc7yszPlnyzNhEm3CEq81wBfMpcf2zGqW0e+NL4JpvnsYzX3+GnYp3gunw3lHvkVd2HLCBWdSxnJCaG3gBJNL04/NnvAWlQLcPWncBVJtHZDRQAkNEREasvDzYcUd4+eXYb5Iu4IbUBpUFtvWBoRoYIqmTRc+MTfTpL+FqM1QQvo1GBY3batPMnDyTf8/7N3uW7Qk7Qc/sdygfezDXMndwzY1gEiPeph+l014FwLdpLIZPtXlERgklMEREZFQ44ghYuDCWKY09eYtXOXDbmBuIofpGDlHeQiQNsuiZsYk+/SVcnyVNFr6Nhq+yol/yoHJcJc+d+xz7lu8LZdA8p56vjO2gO2SevpobEH/Tj7fXvA3AHjtPGh21eUQEUAJDRERGkTPPjG26d9iTg3mVL/FnruJS/psbWMp+Q8+YI7q6Mh2ByCiQRc+MTfTpL+H6LGk8L/aeWMuKy3j6G0+zz/h9oAyePBuqx9LvAc4VNCbU9KN+Uz0AVWOr4ptRRHKaEhgiIjKqPPQQ/OIXsU17H1/if7gKgANYmsKoRGTEyaJnxg7n6S8D+yw58ob4emIdXzyeZ+c9y95r82E8/PlrcF1ILKv8FQk1/VjTvQaAvSbuFd+MIpLTlMAQEZFR5XOfgzlzMh1Fdhhf/2qmQxAZubLombFJf/pLnD2xjisax3OH/Y6KjwzK4duz4F95QEkJU++sSSiOTb5NABxUdVD8M4tIzlICQ0RERp2JE2HffeGee/qPP/jg6POdxKLUBZVGgeB//wfcc3mGIxEZwbLsmbGZfvrLuK/N44VPXEfpZsNNg+NPNzb+5pqEAmlra6N7B683jZnTZyY7VBHJYkpgiIjIqLRsGXzlK/3Hvfxy9Hke4SQMh6FeMEUkBpnOGmSZyXMu5MmL/4Wvy0frXo7D3rgKl0Cvwu8vfx92BAIwvWx68gMVkaylBIaIiIxqp5zS//1pp8U23+2cnfRY0mUXPsp0CCIySs2smMltn7kNeuHdsnc598Zz417GkveXgA+Kuooo8BekIEoRyVZKYIiIyKh2//1w991w773e+7/+Nbb5vs7tGI7DeQ6AVkpTFKGIyMgy5+g5nDPhHABu++g2Hv/P43HN/3rj6wCMd+OTHpuIZDclMEREZFTz++GMM+D00xOb/wUOx3DsQCun8kBygxMRGaFuvehWJq+cDH74wsIv0NzeHPO876x7B4BdinZJVXgikqWUwBARERlg9uzE5nuIUzmYlzmWJziBR5IblIjICGJmPHLJI9hKozWvlckXnYT5e6mqgrq66PM2bmkEYPp49X8hMtoogSEiIjLARRdBUVFi877KwTzJsTzKCRiOu5hNM2XJDVBEZATYb+/9OHHLt6ENuir+DZ/6MQ0NMG9e9CTG2p61AOw9ae80RSoi2UIJDBERkQEOPRQ6OuCYY7aPO/DAxJb1Ne5iAs2sQlWdU8nMfmxmK83steBwcqZjEpGhvfn8lXBfBTjg6BqofJr2dpg/P/I8W/K2AHDwrkM8+1pERhwlMERERCJYvHj765//fHjLmsIqjuKp4S1EhnKNc+7A4LAo08GIyNBWrCiAD/8IzwA+B188E4pbaGwMP31XdxfdY7oBOHzPw9MXqIhkBSUwREREoqivh3Xr4LOfHf6ynuEovsOvh78gEZERoqIC4Ah4chasAMauhlPmMq3ChZ3+1fdehXzwdfjYaced0hmqiGQBJTBERESiqKyECRO81x0dcPIwGyZczaXsyVv46Rl+cDLQhWa21MxuM7Owz1c0s3lmtsTMlqxbty7d8YnIADU1UFICBH4J9xXCVmDvv/Dp/3dL2On/9f6/ACjuLE5fkCKSNZTAEBERiVFREfztb/DXv8KVVya6FOMd9iSAH8NhBNS0JEZm9riZvRFmOA24EdgNOBBYDVwVbhnOuVrn3Ezn3MyddtKvtyKZVl0NtbVQWTkVNn4f/uaNX7jhEl776LVB0y9rWgZAuZWnM0wRyRJKYIiIiMTBDE47DU4/PWlL5BmO4mxuB+A6LkrWgkcc59ynnXP7hhkecM6tcc71OucCwC3AoZmOV0RiU13tNddra/suUzdOhVego6eDUxaewqotq/pN++76dwGYUjwlA5GKSKYpgSEiIpKA3XeHtjbvdXk5PPPM8JZ3J2djOC7mOk7m73yOh7Z9dhRPcSPnDW8FI5yZhT7m5QvAG5mKRUQSU1JSwi9+8Qv4O+SvzqdpcxOnLjyVti7vZNva1cq7W70Exm5lu2UyVBHJkLxMByAiIpKrSkpg5Urv77hxyVvuw3gdbeTTRRktrGUiz3AUN3ABy9ifFUzldQ6gjBYO54XkrTi3/dLMDsR7GGM98M3MhiMiiQgEZlGYdz2ddz2PzS3lZV5m9v2zOWG3E/jR4h+xtnAt9MIRFUdkOlQRyQBzLnwPv7lg5syZbsmSJZkOQ0REBIA334TCQpgxA266Cc4/P/Xr9NHLbnzAVXyHU/gbR/IMz/Kp2BeQgusAM3vZOTcz6QtOMl1HiGSXujqYNw/a298DDoYJrfCNYiju2D5RE0xaOon3/vkeY8aMyVisIpJaka4l1IREREQkSfbZx0teAJyXphYfAfy8x8c4lYcwHM9xJIZjEquHnHcJh6QhQhGR2MyfD+3tALsDtbAe+FMPdBdRTjn8CUrvLuWxWx9T8kJklFICQ0REJEWammD5cjjppPSvew2TMBwltLETaymmfdA0N6lfDRHJIo2Noe9mAd+E5d0U/qqA5p80Y/+BhcUl7Pv66xmKUEQyTQkMERGRFJkyBaqq4KGHhpw0ZTooYT07sZVixrGBsWxkEqu5hGu4lXMzF5iIyAAVFQPHXMM4Kujs2gwO/g84Zd06r51JXV0GIhSRTFMCQ0REJMX8fq+rCefglVcyF8cmxrGZsaxhEtdySeYCEREJo6bG6xR5u2Luo4f9gEuB7/aNbm/32puIyKijBIaIiEgaHXSQ17SksjLTkYiIZJfqaqit9c6PZl7y9xhWsxS4CrDQifu3NxGRUUIJDBERkTSbMgXq6zMdhYhI9qmu9s6PgYA3NDKoXYlncHsTERkFlMAQFdmHugAADhlJREFUERHJkAcfhIsuynQUIiJZoK7O6zTI5/P+1tVRUQGXU0Mb/dqV0G4lXnsTERl1lMAQERHJkFNOgeuu8/rGWLoUXn450xGJiGRAXZ3XMWdDg3dCbGiAefNYcHIdD5RUM5da6qkkgNFolbxyXq1XVUNERp2sSWCYWamZ3Wlmt5iZzkgiIjKq7LcfHHwwtLbCMcd44xYuhPfegxdfzGhoIiKpNX++1zFnqPZ2jlw0n9paeL6ymulWz/TKAM/cVc+RN+hWQWS0SmkCw8xuM7O1ZvbGgPEnmtk7Zva+mV0WHP1F4F7n3Fzg1FTGJSIikq1KS2HxYu9HyDPPhBkz4LDDtj/FJBDIdIQiIkkWqUPOxsZ+fWLU1Hi5jpBWJiIyyqS6BsYdwImhI8zMD1wPnATsDcwys72BqcCK4GS9KY5LREQkJ5l5iYzW1kxHIiKSJJE65AwZH6GViZIYIqNMShMYzrmngZYBow8F3nfOfeic6wLuBk4DmvCSGFHjMrN5ZrbEzJasW7cuFWGLiIhkvdJS7yK+t9cb+mpoPPpopiMTEYlTTQ2U9O+ok5L+HXVGaGXC/PlpiE9EskYm+sCYwvaaFuAlLqYAfwFON7MbgYcizeycq3XOzXTOzdxpp51SG6mIiEiW8/m8oc9//df2ZIZz3gX+ypVw9dWD5z3iiPTFKSISUXU11NZCZaVXzayy0nsf0lFnlFYmIjKK5GVgnRZmnHPOtQHnpDsYERGRkay42Bu+/W1vEBHJStXVUZ8sUlHhNRsJN15ERo9M1MBoAqaFvJ8KrMpAHCIiIiIikgNiaGUiIqNAJhIY/wZ2N7NdzawAOBN4MANxiIiIiIhIDoihlYmIjAIpbUJiZguBY4AJZtYE/Mg5d6uZXQj8A/ADtznn3kxlHCIiIiIiktuGaGUiIqNAShMYzrlZEcYvAhYlulwzOwU4ZcaMGYkuQkRERERERERySCaakAybc+4h59y8sWPHZjoUEREREREREUkDc85lOoaEmdk6YCOwKcpkY6N8HumzCcD64UWXctHKlQ3LTmQZ8cwTy7RDTTMS941U7hfJWn4q9w3tF5HpnJG6fSPafNm+b6Rqv6h0zmX9s86D1xFhnmuQFNm+7YdjJJcNRnb5RnLZYGSXT2XLXSO5fKksW/hrCedcTg9AbaKfR/oMWJLpcg233JlediLLiGeeWKYdjftGKveLXNg3tF9kZt/I9v0i1fvGEPtMVu8bqT5njOYh27e9yjY6yzeSyzbSy6ey5e4wksuXibLlZBOSAR4axudDzZvNUhl7MpadyDLimSeWaUfjvpHquLN939B+EZnOGcOfJtLn2i9ERERE0iCnm5Ckipktcc7NzHQckn20b0g42i8kEu0bo9dI3vYjuWwwsss3kssGI7t8KlvuGsnly0TZRkINjFSozXQAkrW0b0g42i8kEu0bo9dI3vYjuWwwsss3kssGI7t8KlvuGsnlS3vZVANDRERERERERLKeamCIiIiIiIiISNZTAkNEREREREREsp4SGCIiIiIxMrMTzewdM3vfzC4L83mhmd0T/PwlM6sK+ez7wfHvmNkJ6Yw7VjGU71Iz+4+ZLTWzf5pZZchnvWb2WnB4ML2RDy2Gsp1tZutCynBuyGdzzOy94DAnvZHHJobyXRNStnfNbGPIZ9m+7W4zs7Vm9kaEz83MrguWfamZHRzyWVZvuxjKVh0s01Ize97MDgj5rN7MlgW325L0RR2bGMp2jJltCtn3fhjyWdT9ORvEUL7vhpTtjeBxVhb8LNu33TQzW2xmb5nZm2Z2cZhpMnPcZfrZsRo0aNCgQYMGDbkwAH7gA2A6UAC8Duw9YJoLgJuCr88E7gm+3js4fSGwa3A5/kyXKYHyHQuUBF+f31e+4PvWTJdhmGU7G/hdmHnLgA+Df8cHX4/PdJniLd+A6S8CbsuFbReM7yjgYOCNCJ+fDDwMGPAJ4KUc2nZDle3wvpiBk/rKFnxfD0zIdBmGUbZjgL+FGR/X/pyt5Rsw7SnAEzm07XYBDg6+3gF4N8w5MyPHnWpgxMDMSs3sTjO7xcyqMx2PZAczm25mt5rZvZmORbKLmX0+eL54wMw+k+l4JDuY2V5mdpOZ3Wtm52c6HknIocD7zrkPnXNdwN3AaQOmOQ24M/j6XuB4M7Pg+Ludc53OueXA+8HlZZMhy+ecW+ycaw++fRGYmuYYExXLtovkBOAx51yLc24D8BhwYoriTFS85ZsFLExLZEngnHsaaIkyyWnAH5znRWCcme1CDmy7ocrmnHs+GDvk1jEXy3aLZDjHa9rEWb5cO+ZWO+deCb7eArwFTBkwWUaOu1GbwIhU5SdCdaUvAvc65+YCp6Y9WEmbePaL4En1G5mJVNItzn3jr8HzxdnAGRkIV9Ikzv3iLefcecBXgBH5PPhRYAqwIuR9E4Mv6LZN45zrATYB5THOm2nxxvgNvF/f+hSZ2RIze9HMPp+KAIch1rKdHqwKfa+ZTYtz3kyKOUbzmv3sCjwRMjqbt10sIpU/F7ZdPAYecw541MxeNrN5GYppuD5pZq+b2cNmtk9w3IjabmZWgncDf1/I6JzZduY1hTwIeGnARxk57kZtAgO4gwGZIDPzA9fjVc/aG5hlZnvjZTr7NkJvGmOU9LuD2PcLGV3uIP594wfBz2XkuoM49gszOxV4FvhnesOUJLEw4wY+jz7SNLHMm2kxx2hms/EScb8KGV3hnJsJfBX4jZntlvwQExZL2R4Cqpxz+wOPs70mzYjadnhNm+51zoVe02bztotFLh93MTGzY/ESGN8LGX2Ec+5gvP9v/tvMjspIcIl7Bah0zh0A/Bb4a3D8iNluQacAzznnQmtr5MS2M7MxeImXS5xzmwd+HGaWlB93ozaBEaHKT6TqSk1sr641ar+z0SDO/UJGkXj2jWCnRr8AHu6rficjU7znDOfcg865wwE1R8xNTcC0kPdTgVWRpjGzPGAs3j4Sy7yZFlOMZvZpYD5wqnOus2+8c25V8O+HwJN4v9hliyHL5pxrDinPLcAhsc6bBeKJ8UwGVGXP8m0Xi0jlz4VtNyQz2x/4PXCac665b3zIdlsL3E/2NUuLyjm32TnXGny9CMg3swmMkO0WItoxl7Xbzszy8ZIXdc65v4SZJCPHnW7G+4tU3eUveFUKb8TLzsvoEna/MLNyM7sJOMjMvp+Z0CTDIp0zLgI+DXzJzM7LRGCSUZHOGccEe+u+GViUmdBkmP4N7G5mu5pZAd5F6cAnNjwI9PW4/iW8TttccPyZ5j2lZFdgd+BfaYo7VkOWz8wOAm7GS16sDRk/3swKg68nAEcA/0lb5EOLpWy7hLw9Fa/NN8A/gM8Eyzge+ExwXDaJZd/EzPbA61TvhZBx2b7tYvEg8LXgDwifADY551aTG9suKjOrwLsXOcs5927I+FIz26HvNV7Zwj4NI1uZ2aRgH0GY2aF496bNxLg/5wIzGwscDTwQMi7rt11wu9wKvOWcuzrCZBk57vKStaARImx1F+dcG3BOuoORrBFpv2gGdHM6ukXaN64Drkt3MJI1Iu0XT+L9sik5yjnXY2YX4l2I+fGe4vCmmf0UWOKcexDvgu8uM3sfr+bFmcF53zSzP+HdGPYA/z2gCn/GxVi+XwFjgD8H7zsanXOnAnsBN5tZAO8m5P+cc1lzExxj2b4VbObVg7ftzg7O22JmP8O7qQL46YCq4BkXY/nA60jw7mBSrU9WbzsAM1uI98SKCWbWBPwIyAdwzt2ElxQ+Ga9z3HaC1+25sO1iKNsP8frRuSF4zPUEm/tMBO4PjssD/uiceyTtBYgihrJ9CTjfzHqADuDM4L4Zdn/OQBGiiqF8AF8AHg3eT/bJ+m2Hl8g8C1hmZq8Fx10OVEBmjzvrf/4aXYIdkvzNObdv8P0ngR87504Ivv8+gHPuykzFKOmn/UIi0b4h4Wi/EBEREUkPNSHpb8RUV5Kk0n4hkWjfkHC0X4iIiIikwKhNYASr/LwA7GFmTWb2jeDjzvqqK70F/CkbqytJ6mi/kEi0b0g42i9ERERE0mdUNyERERERERERkdwwamtgiIiIiIiIiEjuUAJDRERERERERLKeEhgiIiIiIiIikvWUwBARERERERGRrKcEhoiIiIiIiIhkPSUwRERERERERCTrKYEhIkllZr1m9lrIcFkSl11lZm8ka3kiIiIiIpI78jIdgIiMOB3OuQMzHYSIiIiIiIwsqoEhImlhZvVm9gsz+1dwmBEcX2lm/zSzpcG/FcHxE83sfjN7PTgcHlyU38xuMbM3zexRMyvOWKFERERERCRtlMAQkWQrHtCE5IyQzzY75w4Ffgf8Jjjud8AfnHP7A3XAdcHx1wFPOecOAA4G3gyO3x243jm3D7AROD3F5RERERERkSxgzrlMxyAiI4iZtTrnxoQZXw8c55z70MzygY+cc+Vmth7YxTnXHRy/2jk3wczWAVOdc50hy6gCHnPO7R58/z0g3zn389SXTEREREREMkk1MEQknVyE15GmCacz5HUv6stHRERERGRUUAJDRNLpjJC/LwRfPw+cGXxdDTwbfP1P4HwAM/Ob2Y7pClJERERERLKPfrkUkWQrNrPXQt4/4pzre5RqoZm9hJc8nRUc9y3gNjP7LrAOOCc4/mKg1sy+gVfT4nxgdcqjFxERERGRrKQ+MEQkLYJ9YMx0zq3PdCwiIiIiIpJ71IRERERERERERLKeamCIiIiIiIiISNZTDQwRERERERERyXpKYIiIiIiIiIhI1lMCQ0RERERERESynhIYIiIiIiIiIpL1lMAQERERERERkaz3/wG+2sM8dfgctQAAAABJRU5ErkJggg==\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=[15,6])\n",
"plt.subplot(2,2,1)\n",
"plt.loglog(history_3.history['loss'],'b',label='train')\n",
"plt.loglog(history_3.history['val_loss'],'r', label='val')\n",
"plt.legend(loc='upper right')\n",
"\n",
"plt.title('Model loss (Momentum = 0.9)')\n",
"plt.ylabel('Loss')\n",
"plt.xlabel('Epoch')\n",
"\n",
"plt.subplot(2,2,2)\n",
"# plot the prediction and the ground truth\n",
"plt.plot(w2,e2,'ob',label='Train')\n",
"plt.plot(wTest2,eTest2,'or',label='Test')\n",
"plt.plot(w2,e2_clean,'-k',label='Real', linewidth=2)\n",
"plt.plot(w2, e_hat_3,'g', label='FFNN' , linewidth=2)\n",
"\n",
"plt.legend()\n",
"plt.tight_layout()\n",
"\n",
"## \n",
"\n",
"plt.subplot(2,2,3)\n",
"plt.loglog(history_3_mn.history['loss'],'b',label='train')\n",
"plt.loglog(history_3_mn.history['val_loss'],'r', label='val')\n",
"plt.legend(loc='upper right')\n",
"\n",
"plt.title('Model loss (Momentum = 0.5)')\n",
"plt.ylabel('Loss')\n",
"plt.xlabel('Epoch')\n",
"\n",
"plt.subplot(2,2,4)\n",
"e_hat_3_mn = model_3_mn.predict(w2)\n",
"\n",
"# plot the prediction and the ground truth\n",
"plt.plot(w2,e2,'ob',label='Train')\n",
"plt.plot(wTest2,eTest2,'or',label='Test')\n",
"plt.plot(w2,e2_clean,'-k',label='Real', linewidth=2)\n",
"plt.plot(w2, e_hat_3_mn,'g', label='FFNN' , linewidth=2)\n",
"\n",
"plt.legend()\n",
"plt.tight_layout()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Batching"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Very large batch_size"
]
},
{
"cell_type": "code",
"execution_count": 113,
"metadata": {},
"outputs": [],
"source": [
"kernel_weight = 0.003\n",
"bias_weight = 0.003\n",
"\n",
"model_3_b1 = models.Sequential(name='noiseLorentzModel_sgd_batching1')\n",
"\n",
"# first hidden layer \n",
"model_3_b1.add(layers.Dense(n_neurons, activation='tanh', input_shape=(1,)))\n",
"# second hidden layer \n",
"model_3_b1.add(layers.Dense(n_neurons, activation='tanh', kernel_regularizer=tf.keras.regularizers.l2(kernel_weight), \n",
" bias_regularizer=tf.keras.regularizers.l2(bias_weight) ))\n",
"# output layer, one neuron \n",
"model_3_b1.add(layers.Dense(1, activation='linear'))\n",
"\n",
"sgd = optimizers.SGD(lr=0.01,momentum=0.9, clipvalue=0.5)\n",
"model_3_b1.compile(loss='MSE',optimizer=sgd) \n",
"history_3_b1 = model_3_b1.fit(w2, e2, validation_data=(wTest2,eTest2), epochs=2000, batch_size=Ntrain, verbose=0)\n"
]
},
{
"cell_type": "code",
"execution_count": 118,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=[15,6])\n",
"plt.subplot(2,2,1)\n",
"plt.loglog(history_3.history['loss'],'b',label='train')\n",
"plt.loglog(history_3.history['val_loss'],'r', label='val')\n",
"plt.legend(loc='upper right')\n",
"\n",
"plt.title('Model loss (batch_size = 32)')\n",
"plt.ylabel('Loss')\n",
"plt.xlabel('Epoch')\n",
"\n",
"plt.subplot(2,2,2)\n",
"# plot the prediction and the ground truth\n",
"plt.plot(w2,e2,'ob',label='Train')\n",
"plt.plot(wTest2,eTest2,'or',label='Test')\n",
"plt.plot(w2,e2_clean,'-k',label='Real', linewidth=2)\n",
"plt.plot(w2, e_hat_3,'g', label='FFNN' , linewidth=2)\n",
"\n",
"plt.legend()\n",
"plt.tight_layout()\n",
"\n",
"\n",
"## \n",
"\n",
"plt.subplot(2,2,3)\n",
"plt.loglog(history_3_b1.history['loss'],'b',label='train')\n",
"plt.loglog(history_3_b1.history['val_loss'],'r', label='val')\n",
"plt.legend(loc='upper right')\n",
"\n",
"plt.title('Model loss (batch_size = 128)')\n",
"plt.ylabel('Loss')\n",
"plt.xlabel('Epoch')\n",
"\n",
"plt.subplot(2,2,4)\n",
"e_hat_3_b1 = model_3_b1.predict(w2)\n",
"\n",
"# plot the prediction and the ground truth\n",
"plt.plot(w2,e2,'ob',label='Train')\n",
"plt.plot(wTest2,eTest2,'or',label='Test')\n",
"plt.plot(w2,e2_clean,'-k',label='Real', linewidth=2)\n",
"plt.plot(w2, e_hat_3_b1,'g', label='FFNN' , linewidth=2)\n",
"\n",
"plt.legend()\n",
"plt.tight_layout()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Very small batch_size (Too SLOW)"
]
},
{
"cell_type": "code",
"execution_count": 119,
"metadata": {},
"outputs": [],
"source": [
"kernel_weight = 0.003\n",
"bias_weight = 0.003\n",
"\n",
"model_3_bs = models.Sequential(name='noiseLorentzModel_sgd_batchingSmall')\n",
"\n",
"# first hidden layer \n",
"model_3_bs.add(layers.Dense(n_neurons, activation='tanh', input_shape=(1,)))\n",
"# second hidden layer \n",
"model_3_bs.add(layers.Dense(n_neurons, activation='tanh', kernel_regularizer=tf.keras.regularizers.l2(kernel_weight), \n",
" bias_regularizer=tf.keras.regularizers.l2(bias_weight) ))\n",
"# output layer, one neuron \n",
"model_3_bs.add(layers.Dense(1, activation='linear'))\n",
"\n",
"sgd = optimizers.SGD(lr=0.01,momentum=0.9)\n",
"model_3_bs.compile(loss='MSE',optimizer=sgd) \n",
"history_3_bs = model_3_bs.fit(w2, e2, validation_data=(wTest2,eTest2), epochs=2000, batch_size=8, verbose=0)\n"
]
},
{
"cell_type": "code",
"execution_count": 121,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=[15,6])\n",
"plt.subplot(2,2,1)\n",
"plt.loglog(history_3.history['loss'],'b',label='train')\n",
"plt.loglog(history_3.history['val_loss'],'r', label='val')\n",
"plt.legend(loc='upper right')\n",
"\n",
"plt.title('Model loss (batch_size = 32)')\n",
"plt.ylabel('Loss')\n",
"plt.xlabel('Epoch')\n",
"\n",
"plt.subplot(2,2,2)\n",
"# plot the prediction and the ground truth\n",
"plt.plot(w2,e2,'ob',label='Train')\n",
"plt.plot(wTest2, eTest2,'or',label='Test')\n",
"plt.plot(w2,e2_clean,'-k',label='Real', linewidth=2)\n",
"plt.plot(w2, e_hat_3,'g', label='FFNN' , linewidth=2)\n",
"\n",
"plt.legend()\n",
"plt.tight_layout()\n",
"\n",
"\n",
"## \n",
"\n",
"plt.subplot(2,2,3)\n",
"plt.loglog(history_3_bs.history['loss'],'b',label='train')\n",
"plt.loglog(history_3_bs.history['val_loss'],'r', label='val')\n",
"plt.legend(loc='upper right')\n",
"\n",
"plt.title('Model loss (batch_size = 8)')\n",
"plt.ylabel('Loss')\n",
"plt.xlabel('Epoch')\n",
"\n",
"plt.subplot(2,2,4)\n",
"e_hat_3_bs = model_3_bs.predict(w2)\n",
"\n",
"# plot the prediction and the ground truth\n",
"plt.plot(w2,e2,'ob',label='Train')\n",
"plt.plot(wTest2, eTest2,'or',label='Test')\n",
"plt.plot(w2,e2_clean,'-k',label='Real', linewidth=2)\n",
"plt.plot(w2, e_hat_3_bs,'g', label='FFNN' , linewidth=2)\n",
"\n",
"plt.legend()\n",
"plt.tight_layout()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\n",
"----------\n",
"\n",
"\n",
"\n",
"\n",
"## End of Section\n",
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"----------"
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