ML_course/assignment 6/iml_assgnment6_unsolved.ipynb
2023-05-26 16:24:11 +02:00

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{
"cells": [
{
"cell_type": "markdown",
"source": [
"Solution for Assignment 6 of the course “Introduction to Machine Learning” at the University of Leoben.\n",
"Author: Fotios Lygerakis\n",
"Semester: SS 2022/2023"
],
"metadata": {
"collapsed": false
}
},
{
"cell_type": "markdown",
"source": [
"Implement the Gaussian Processes algorithm as a class in Python. The class should be able to perform the following tasks:\n",
"1. Fit the model to a given training data set (X, y) with X ∈ Rn×d and y ∈ Rn.\n",
"2. Predict the output for a given test data set X ∈ Rm×d.\n",
"3. Compute the log marginal likelihood of the training data set.\n",
"4. Compute the gradients of the log marginal likelihood with respect to the hyperparameters.\n",
"5. Compute the predictive mean and variance for a given test data set X ∈ Rm×d.\n",
"6. Compute the gradients of the predictive mean and variance with respect to the hyperparameters.\n",
"7. Use the gradients of the log marginal likelihood and the gradients of the predictive mean and variance to optimize the hyperparameters of the kernel function.\n",
"\n",
"Implement the following kernel functions:\n",
"1. linear kernel: k(x, x) = xT x\n",
"2. polynomial kernel: k(x, x) = (xT x + 1)d\n",
"3. Periodic kernel: k(x, x) = exp(2sin2(π||x x||/p)/σ2)\n",
"4. Gaussian kernel: k(x, x) = exp(||x x||2/2σ2)\n",
"\n",
"Test your implementation on 1D, 2D and 3D data sets. Compare the results with the results of the scikit-learn implementation of Gaussian Processes."
],
"metadata": {
"collapsed": false
}
},
{
"cell_type": "markdown",
"source": [
"Import the necessary libraries"
],
"metadata": {
"collapsed": false
}
},
{
"cell_type": "code",
"execution_count": 140,
"outputs": [],
"source": [
"import matplotlib.pyplot as plt\n",
"import numpy as np\n",
"from scipy.spatial.distance import cdist\n"
],
"metadata": {
"collapsed": false
}
},
{
"cell_type": "markdown",
"source": [
"Datasets"
],
"metadata": {
"collapsed": false
}
},
{
"cell_type": "code",
"execution_count": 141,
"outputs": [],
"source": [
"step_size = 0.5\n",
"#1D data set\n",
"X_1D = np.arange(-5, 5, step_size).reshape(-1, 1)\n",
"y_1D = np.sin(X_1D) + np.random.normal(0, 0.1, size=(len(X_1D), 1))\n",
"X_1D_star = np.arange(-5, 5, step_size).reshape(-1, 1)\n",
"\n",
"#2D data set\n",
"X_2D_1 = np.arange(-5, 5, step_size).reshape(-1, 1)\n",
"X_2D_2 = np.arange(-5, 5, step_size).reshape(-1, 1)\n",
"X_2D = np.hstack((X_2D_1, X_2D_2))\n",
"y_2D = np.sin(X_2D_1) + np.exp(X_2D_2) + np.random.normal(0, 0.1, size=(len(X_2D), 1))\n",
"X_2D_star_1 = np.arange(-5, 5, step_size).reshape(-1, 1)\n",
"X_2D_star_2 = np.arange(-5, 5, step_size).reshape(-1, 1)\n",
"X_2D_star = np.hstack((X_2D_star_1, X_2D_star_2))\n",
"\n",
"#3D data set\n",
"X_3D_1 = np.arange(-5, 5, step_size).reshape(-1, 1)\n",
"X_3D_2 = np.arange(-5, 5, step_size).reshape(-1, 1)\n",
"X_3D_3 = np.arange(-5, 5, step_size).reshape(-1, 1)\n",
"X_3D = np.hstack((X_3D_1, X_3D_2, X_3D_3))\n",
"y_3D = (\n",
" np.sin(X_3D_1)\n",
" + np.cos(X_3D_2)\n",
" + X_3D_3 ** 2\n",
" + np.random.normal(0, 0.1, size=(len(X_3D), 1))\n",
")\n",
"X_3D_star_1 = np.arange(-5, 5, step_size).reshape(-1, 1)\n",
"X_3D_star_2 = np.arange(-5, 5, step_size).reshape(-1, 1)\n",
"X_3D_star_3 = np.arange(-5, 5, step_size).reshape(-1, 1)\n",
"X_3D_star = np.hstack((X_3D_star_1, X_3D_star_2, X_3D_star_3))\n"
],
"metadata": {
"collapsed": false
}
},
{
"cell_type": "markdown",
"source": [
"Implement the Gaussian Processes algorithm as a class in Python"
],
"metadata": {
"collapsed": false
}
},
{
"cell_type": "code",
"execution_count": 142,
"outputs": [],
"source": [
"class GaussianProcess:\n",
" def __init__(self, kernel, sigma_n=1e-8):\n",
" pass\n",
"\n",
" def fit(self, X, y):\n",
" # Compute the kernel matrix. Add a small value to the diagonal for numerical stability.\n",
" # Compute the inverse of the kernel matrix.\n",
" # Compute the coefficients alpha.\n",
" pass\n",
"\n",
" def predict(self, X_star):\n",
" # Compute the kernel matrix between the training data and the test data.\n",
" # Compute the predictive mean.\n",
" # Compute the predictive variance.\n",
" y_star, var = None, None\n",
" return y_star, var\n",
"\n",
" def log_marginal_likelihood(self):\n",
" # Compute the log marginal likelihood.\n",
" lml=None\n",
" return lml\n",
"\n",
" def plot(self, X_star, y_star, var):\n",
" plt.figure(figsize=(10, 10))\n",
" plt.plot(self.X, self.y, \"r.\", markersize=10, label=\"Observations\")\n",
" plt.plot(X_star, y_star, \"b-\", label=\"Prediction\")\n",
" plt.fill_between(\n",
" X_star[:, 0],\n",
" y_star[:, 0] - 1.96 * np.sqrt(np.diag(var)),\n",
" y_star[:, 0] + 1.96 * np.sqrt(np.diag(var)),\n",
" alpha=0.2,\n",
" color=\"k\",\n",
" label=\"95% confidence interval\",\n",
" )\n",
" plt.xlabel(\"$x$\")\n",
" plt.ylabel(\"$y$\")\n",
" plt.title(\n",
" f\"{self.kernel.__class__.__name__} \\n Log-Marginal-Likelihood: {self.log_marginal_likelihood()[0][0]:.3e}\"\n",
" )\n",
" plt.legend(loc=\"upper left\")\n",
" plt.show()"
],
"metadata": {
"collapsed": false
}
},
{
"cell_type": "code",
"execution_count": 143,
"outputs": [],
"source": [
"#Implement the linear kernel function\n",
"class LinearKernel:\n",
" def __init__(self, theta=1.0):\n",
" self.theta = theta\n",
"\n",
" def __call__(self, X1, X2):\n",
" pass\n",
"\n",
" def set_params(self, params):\n",
" pass\n",
"\n"
],
"metadata": {
"collapsed": false
}
},
{
"cell_type": "code",
"execution_count": 144,
"outputs": [],
"source": [
"#Implement the polynomial kernel function\n",
"class PolynomialKernel:\n",
" def __init__(self, theta=1.0, d=3):\n",
" self.theta = theta\n",
" self.d = d\n",
"\n",
" def __call__(self, X1, X2):\n",
" pass\n",
"\n",
" def set_params(self, params):\n",
" pass"
],
"metadata": {
"collapsed": false
}
},
{
"cell_type": "code",
"execution_count": 145,
"outputs": [],
"source": [
"#Implement the periodic kernel function\n",
"class PeriodicKernel:\n",
" def __init__(self, theta=1.0):\n",
" self.theta = theta\n",
"\n",
" def __call__(self, X1, X2):\n",
" pass\n",
"\n",
" def set_params(self, params):\n",
" pass\n"
],
"metadata": {
"collapsed": false
}
},
{
"cell_type": "code",
"execution_count": 146,
"outputs": [],
"source": [
"#Implement the radial basis function kernel function\n",
"class RBFKernel:\n",
" def __init__(self, theta=1.0):\n",
" self.theta = theta\n",
"\n",
" def __call__(self, X1, X2):\n",
" pass\n",
"\n",
"\n",
" def set_params(self, params):\n",
" pass\n"
],
"metadata": {
"collapsed": false
}
},
{
"cell_type": "markdown",
"source": [
"### Test your implementation. Compare the results with the results of the scikit-learn implementation of Gaussian Processes."
],
"metadata": {
"collapsed": false
}
},
{
"cell_type": "markdown",
"source": [
"Initialize the kernels"
],
"metadata": {
"collapsed": false
}
},
{
"cell_type": "code",
"execution_count": 147,
"outputs": [],
"source": [
"#Linear kernel\n",
"kernel_linear = None\n",
"#Polynomial kernel\n",
"kernel_poly = None\n",
"#Periodic kernel\n",
"kernel_periodic = None\n",
"#Radial basis function kernel\n",
"kernel_rbf = None"
],
"metadata": {
"collapsed": false
}
},
{
"cell_type": "markdown",
"source": [
"### Initialize the Gaussian Process with the kernels and fit the data"
],
"metadata": {
"collapsed": false
}
},
{
"cell_type": "code",
"execution_count": 148,
"outputs": [],
"source": [
"gp_linear = None\n",
"gp_poly = None\n",
"gp_periodic = None\n",
"gp_rbf = None"
],
"metadata": {
"collapsed": false
}
},
{
"cell_type": "markdown",
"source": [
"### Fit the 1D data"
],
"metadata": {
"collapsed": false
}
},
{
"cell_type": "code",
"execution_count": 149,
"outputs": [],
"source": [
"gp_linear.fit(X_1D, y_1D)\n",
"gp_poly.fit(X_1D, y_1D)\n",
"gp_periodic.fit(X_1D, y_1D)\n",
"gp_rbf.fit(X_1D, y_1D)"
],
"metadata": {
"collapsed": false
}
},
{
"cell_type": "markdown",
"source": [
"### Predict the values of the test data"
],
"metadata": {
"collapsed": false
}
},
{
"cell_type": "code",
"execution_count": 150,
"outputs": [],
"source": [
"y_star_linear, var_linear = gp_linear.predict(X_1D_star)\n",
"y_star_poly, var_poly = gp_poly.predict(X_1D_star)\n",
"y_star_periodic, var_periodic = gp_periodic.predict(X_1D_star)\n",
"y_star_rbf, var_rbf = gp_rbf.predict(X_1D_star)"
],
"metadata": {
"collapsed": false
}
},
{
"cell_type": "markdown",
"source": [
"### Plot the results"
],
"metadata": {
"collapsed": false
}
},
{
"cell_type": "code",
"execution_count": 151,
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/tmp/ipykernel_37332/3048407143.py:67: RuntimeWarning: invalid value encountered in sqrt\n",
" y_star[:, 0] - 1.96 * np.sqrt(np.diag(var)),\n",
"/tmp/ipykernel_37332/3048407143.py:68: RuntimeWarning: invalid value encountered in sqrt\n",
" y_star[:, 0] + 1.96 * np.sqrt(np.diag(var)),\n"
]
},
{
"data": {
"text/plain": "<Figure size 1000x1000 with 1 Axes>",
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"
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/plain": "<Figure size 1000x1000 with 1 Axes>",
"image/png": 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"
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/plain": "<Figure size 1000x1000 with 1 Axes>",
"image/png": 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"
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/plain": "<Figure size 1000x1000 with 1 Axes>",
"image/png": 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"
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"gp_linear.plot(X_1D_star, y_star_linear, var_linear)\n",
"gp_poly.plot(X_1D_star, y_star_poly, var_poly)\n",
"gp_periodic.plot(X_1D_star, y_star_periodic, var_periodic)\n",
"gp_rbf.plot(X_1D_star, y_star_rbf, var_rbf)"
],
"metadata": {
"collapsed": false
}
},
{
"cell_type": "markdown",
"source": [
"### Fit the 2D data"
],
"metadata": {
"collapsed": false
}
},
{
"cell_type": "code",
"execution_count": 152,
"outputs": [],
"source": [
"gp_linear.fit(X_2D, y_2D)\n",
"gp_poly.fit(X_2D, y_2D)\n",
"gp_periodic.fit(X_2D, y_2D)\n",
"gp_rbf.fit(X_2D, y_2D)"
],
"metadata": {
"collapsed": false
}
},
{
"cell_type": "markdown",
"source": [
"### Predict the values of the test data"
],
"metadata": {
"collapsed": false
}
},
{
"cell_type": "code",
"execution_count": 153,
"outputs": [],
"source": [
"y_star_linear, var_linear = gp_linear.predict(X_2D_star)\n",
"y_star_poly, var_poly = gp_poly.predict(X_2D_star)\n",
"y_star_periodic, var_periodic = gp_periodic.predict(X_2D_star)\n",
"y_star_rbf, var_rbf = gp_rbf.predict(X_2D_star)"
],
"metadata": {
"collapsed": false
}
},
{
"cell_type": "markdown",
"source": [
"### Plot the results"
],
"metadata": {
"collapsed": false
}
},
{
"cell_type": "code",
"execution_count": 154,
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/tmp/ipykernel_37332/3048407143.py:67: RuntimeWarning: invalid value encountered in sqrt\n",
" y_star[:, 0] - 1.96 * np.sqrt(np.diag(var)),\n",
"/tmp/ipykernel_37332/3048407143.py:68: RuntimeWarning: invalid value encountered in sqrt\n",
" y_star[:, 0] + 1.96 * np.sqrt(np.diag(var)),\n"
]
},
{
"data": {
"text/plain": "<Figure size 1000x1000 with 1 Axes>",
"image/png": 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"
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/plain": "<Figure size 1000x1000 with 1 Axes>",
"image/png": 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"
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/plain": "<Figure size 1000x1000 with 1 Axes>",
"image/png": 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"
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/plain": "<Figure size 1000x1000 with 1 Axes>",
"image/png": 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"
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"gp_linear.plot(X_2D_star, y_star_linear, var_linear)\n",
"gp_poly.plot(X_2D_star, y_star_poly, var_poly)\n",
"gp_periodic.plot(X_2D_star, y_star_periodic, var_periodic)\n",
"gp_rbf.plot(X_2D_star, y_star_rbf, var_rbf)"
],
"metadata": {
"collapsed": false
}
},
{
"cell_type": "markdown",
"source": [
"### Fit the 3D data"
],
"metadata": {
"collapsed": false
}
},
{
"cell_type": "code",
"execution_count": 155,
"outputs": [],
"source": [
"gp_linear.fit(X_3D, y_3D)\n",
"gp_poly.fit(X_3D, y_3D)\n",
"gp_periodic.fit(X_3D, y_3D)\n",
"gp_rbf.fit(X_3D, y_3D)"
],
"metadata": {
"collapsed": false
}
},
{
"cell_type": "markdown",
"source": [
"### Predict the values of the test data"
],
"metadata": {
"collapsed": false
}
},
{
"cell_type": "code",
"execution_count": 156,
"outputs": [],
"source": [
"y_star_linear, var_linear = gp_linear.predict(X_3D_star)\n",
"y_star_poly, var_poly = gp_poly.predict(X_3D_star)\n",
"y_star_periodic, var_periodic = gp_periodic.predict(X_3D_star)\n",
"y_star_rbf, var_rbf = gp_rbf.predict(X_3D_star)"
],
"metadata": {
"collapsed": false
}
},
{
"cell_type": "markdown",
"source": [
"### Plot the results"
],
"metadata": {
"collapsed": false
}
},
{
"cell_type": "code",
"execution_count": 157,
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/tmp/ipykernel_37332/3048407143.py:67: RuntimeWarning: invalid value encountered in sqrt\n",
" y_star[:, 0] - 1.96 * np.sqrt(np.diag(var)),\n",
"/tmp/ipykernel_37332/3048407143.py:68: RuntimeWarning: invalid value encountered in sqrt\n",
" y_star[:, 0] + 1.96 * np.sqrt(np.diag(var)),\n"
]
},
{
"data": {
"text/plain": "<Figure size 1000x1000 with 1 Axes>",
"image/png": 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JBSJiY2Pl7u6uBx98MN/2lJQUZWdn68SJE5o1a5bS0tLspvFJ0uOPP66YmBgNHTpU48aNU1JSkubMmaNvv/1W8fHxhQ48AFAoBgCUcklJSYYkY8aMGQX2mTVrliHJ+PDDD23bLl68aLRu3drw8vIy0tLSDMMwjBUrVhiSjFmzZtn65eTkGJ07dzYkGdHR0desZ8iQIYanp6dhGIbRt29f4+6777btJyAgwHjhhRfyrTkzM9PIycnJ89lcXV2NF1980bZty5YthiSjVq1aRkZGhl3/xo0bG7fddptx7tw527a4uDhDkhEaGmrXV5Lxr3/9y/b6X//6lyHJGDZsmF2/Bx54wKhcubLdtquPaxiG0bVrV6NWrVp22zp06GB06NAhT9+rXf5My5cvN+1XUM2nT582EhISjKCgIOOOO+4wzp49a+szdepUw9PT0/jpp5/s9vX0008bTk5OxpEjRwrcf3R0tCHJSEpKsm0LDQ01JBnbtm2zbTt16pTh6upqTJw40bZtwoQJhiRj+/bttm3nzp0zatasaYSFhdl+1oX9bq5evdqQZLz22mu2fpcuXTLatWuX57t5+fs1ZMgQ0/NZWDNmzMhzHq7HmDFjjML+SXHmzBnDxcXF6N+/f4F96tWrZ0gyJBleXl7Gs88+a/e7s337dkOSERsba/e+9evX57v9SpfP3ZYtWwpVr2EYRs+ePfP8fuXn9OnTeb5jAMoHpucBKBfWrVungIAADRw40LbN2dlZ48aNU3p6urZu3SpJWr9+vZydnTVixAhbvwoVKtzw6MkjjzyiuLg4nThxQl988YVOnDiR79Q8yXod1OVrknJycnTmzBl5eXmpXr16+uabb/L0HzJkiN30p2PHjunAgQMaPHiwvLy8bNs7dOigxo0bF7rmv/71r3av27VrpzNnztim/0myO25qaqp+//13dejQQT///LNSU1MLfayi8t1336lDhw4KCwvTpk2bVKlSJVvb8uXL1a5dO1WqVEm///677dGlSxfl5ORo27Zt1328Bg0aqF27drbXVatWVb169fTzzz/btq1bt04tW7bUXXfdZdvm5eWlkSNHKjk5WT/88IOtX2G+m+vWrVPFihU1atQoWz8nJyc98cQTeeoLCwuTYRhlcpTpo48+0sWLF02n5kVHR2v9+vWaO3euIiIidOHCBeXk5Njaly9fLl9fX91zzz12P/PmzZvLy8tLW7ZssfVNT0+363N5+t7l7/XlhyO+1wDKDqbnASgXfvnlF9WpUyfPQgkRERG29svPgYGB8vDwsOsXHh5u9/rChQt5/oi68oL1y3r06CFvb28tXbpUe/fu1R133KHw8PB8r5HJzc3V7NmzNXfuXCUlJdn9EVi5cuU8/WvWrJnnM+ZX6+Vt+QWv/NSoUcPu9eUA8scff8jHx0eSFB8fr3/961/auXNnnuudUlNT5evrm+++T5w4Yffa19f3hq97uVKvXr1UvXp1bdiwwS4wStYl3vfv31/gBfinTp267uNdfY4k63m68nqZX375Ra1atcrT78rvXKNGja77u3n156tXr951139ZYb/HJSk2Nlb+/v7q3r17gX1at25t++8BAwbYztXlJfwTExOVmpqqatWq5fv+K3/mY8eOzff6sT59+ti97tChg+Li4gr7MQDcYghNAJCPpUuXaujQoXbbDMPI08/V1VUPPvigFi5cqJ9//tl0EYOXX35Zzz33nIYNG6apU6fK399fFSpU0IQJE/JdsKAowkZ+Clot7vLnO3z4sO6++27Vr19fb7zxhkJCQuTi4qJ169bpzTffNF1cITAw0O51dHS0oqKibrrmhx56SAsXLlRsbKwef/xxu7bc3Fzdc889evLJJ/N9b926da/7eNc6R2VFYb/HJeXIkSPavn27Ro4cWehrjipVqqTOnTsrNjbWFppyc3NVrVo1u3s8XenKAP3kk0/q0Ucftb0+efKkHn30Ub3++ut2S5hfOXoJAFcjNAEoF0JDQ7V//37l5uba/Yv+jz/+aGu//LxlyxZlZGTYjTYdOnTIbn9du3bVxo0bC3XsRx55RO+9954qVKigAQMGFNjvo48+UqdOnfTuu+/abU9JSVGVKlWueZzLn+HqWgvadqM++eQTZWVlac2aNXYjLldOeSrI1efs8qIJN2vGjBmqWLGiRo8eLW9vb7spkLVr11Z6erq6dOlSJMcqrNDQUB08eDDP9vy+c4X9bm7evFnp6el2o035HaOwrud7XBIWL14swzAKtWrela4eMatdu7Y2bdqktm3bXvMfFxo0aKAGDRrYXl8eBW7evLnpkuMAcCWuaQJQLvTo0UMnTpzQ0qVLbdsuXbqkf//73/Ly8lKHDh0kWf+IzM7O1n//+19bv9zcXP3nP/+x219gYKC6dOli9yhIp06dNHXqVM2ZM8d06pOTk1Oef+Vfvny5fvvtt0J9xqCgIDVq1Ejvv/++0tPTbdu3bt2qAwcOFGofhXF5lOXKWlNTUxUdHX3N9159zq4eebpRFotF77zzjvr27ashQ4ZozZo1trb+/ftr586d+d5UNCUlRZcuXSqSGq7Wo0cP7d69Wzt37rRtO3/+vN555x2FhYXZ/lAv7HezR48eunTpkt3S7jk5Ofr3v/+d59iFXXL8er7HZg4fPqzDhw/f0HuvtGjRItWoUcPuOrAr5TeVMjk5WZs3b1aLFi1s2/r376+cnBxNnTo1T/9Lly7lu0w7ANwMRpoAlBmbN29WZmZmnu19+vTRyJEj9fbbbysqKkp79uxRWFiYPvroI8XHx2vWrFm2+9H06dNHLVu21MSJE3Xo0CHVr19fa9as0dmzZyVZ/zi/XhUqVNCzzz57zX733XefXnzxRQ0dOlRt2rTRgQMHFBsbm+fGn2Zefvll9e7dW23bttXQoUP1xx9/aM6cOWrUqJFdkLoZ9957r1xcXNSrVy89/vjjSk9P13//+19Vq1btpu4LJEkrVqywjbBcaciQIQoJCTF9b4UKFfThhx+qT58+6t+/v9atW6fOnTvrH//4h9asWaP77rvPtiz4+fPndeDAAX300UdKTk4u1Eje9Xr66ae1ePFide/eXePGjZO/v78WLlyopKQkrVixwjaqVNjvZq9evdS2bVs9/fTTSk5OVoMGDbRy5cp8FygoiiXHU1NTbYEsPj5ekjRnzhz5+fnJz89PY8eOtfW9vNz3ldfq/fLLL/rggw8kSV9//bUk6aWXXpJkHTUbNGiQ3fG+++477d+/X08//XSBv2eNGzfW3Xffrb/85S+qVKmSEhMT9e677yo7O1uvvPKKrV+HDh30+OOPa/r06dq7d6/uvfdeOTs7KzExUcuXL9fs2bPVt2/fGzovl+3fv98Wzg8dOqTU1FTb52vSpIl69epl6/vBBx/ol19+sV3/t23bNlvfQYMG2UYTAZRhjlu4DwAK5/ISwQU9PvjgA8MwDOPkyZPG0KFDjSpVqhguLi5G48aN811C/PTp08YjjzxieHt7G76+vkZUVJQRHx9vSDKWLFlyzXquXHL8WjVfveT4xIkTjcDAQMPd3d1o27atsXPnzjzLdl9ree4lS5YY9evXN1xdXY1GjRoZa9asMR566CGjfv36dv1ksnz3lfJbdnvNmjXG7bffbri5uRlhYWHGq6++arz33nt5+l3vkuMFPS4v212YmjMyMowOHToYXl5expdffmkYhnWp78mTJxvh4eGGi4uLUaVKFaNNmzbG66+/bly8eLHAc1LQkuM9e/bM8xny+6yHDx82+vbta/j5+Rlubm5Gy5YtjbVr1+Z5b2G/m2fOnDEGDRpk+Pj4GL6+vsagQYOMb7/9tliWHDf7vbp6ee3Q0NA828x+pvl9J55++mlDkrF///4Ca/rXv/5ltGjRwqhUqZJRsWJFIygoyBgwYECB73nnnXeM5s2bG+7u7oa3t7fRuHFj48knnzSOHTt2zc99rSXHL3838ntcfd47dOhQYN/rWdocQOllMYwydlUrABSD1atX64EHHtCOHTvUtm1bR5dz3f7yl7+oatWqper6FQAAyguuaQJwy7lw4YLd68vXjfj4+KhZs2YOqqpwsrOz81yjExcXp3379nFROwAAxYRrmgDccp544glduHBBrVu3VlZWllauXKn//e9/evnll4ttme+i8ttvv6lLly569NFHFRQUpB9//FHz589XQEBAnpvWAgCAosH0PAC3nEWLFmnmzJk6dOiQMjMzFR4erlGjRtld+F5apaamauTIkYqPj9fp06fl6empu+++W6+88opq167t6PIAACiXCE0AAAAAYIJrmgAAAADABKEJAAAAAEzccgtB5Obm6tixY/L29r6hm1gCAAAAKB8Mw9C5c+cUFBRkuyl5fm650HTs2LFr3nUeAAAAwK3j6NGjuu222wpsv+VCk7e3tyTrifHx8XFwNQAAAAAcJS0tTSEhIbaMUJBbLjRdnpLn4+NDaAIAAABwzct2WAgCAAAAAEwQmgAAAADABKEJAAAAAEzcctc0FUZOTo6ys7MdXQZQ7jg5OalixYos9w8AAMoUQtNV0tPT9euvv8owDEeXApRLHh4eCgwMlIuLi6NLAQAAKBRC0xVycnL066+/ysPDQ1WrVuVfw4EiZBiGLl68qNOnTyspKUl16tQxvYkcAABAaUFoukJ2drYMw1DVqlXl7u7u6HKAcsfd3V3Ozs765ZdfdPHiRbm5uTm6JAAAgGvin3nzwQgTUHwYXQIAAGUNf70AAAAAgAlCEwAAAACYIDTdYsLCwjRr1ixHl1Fk4uLiZLFYlJKS4uhSAAAAUE4RmopDYqI0ebI0cKD1OTGxRA579OhRDRs2TEFBQXJxcVFoaKjGjx+vM2fOlMjxi1vHjh01YcIEu21t2rTR8ePH5evr65iiAAAAUO4RmopadLRUv740Y4a0bJn1uX59KSamWA/7888/q0WLFkpMTNTixYt16NAhzZ8/X5s3b1br1q119uzZYj1+QXJycpSbm1ts+3dxcVFAQACLdwAAAKDYEJqKUmKi9NhjUm6ulJNj/zx8uHToULEdesyYMXJxcdHnn3+uDh06qEaNGurevbs2bdqk3377Tc8884yt77lz5zRw4EB5enoqODhY//nPf2xthmFoypQpqlGjhlxdXRUUFKRx48bZ2rOysjRp0iQFBwfL09NTrVq1UlxcnK09JiZGfn5+WrNmjRo0aCBXV1ctWLBAbm5ueabQjR8/Xp07d5YknTlzRgMHDlRwcLA8PDzUuHFjLV682NY3KipKW7du1ezZs2WxWGSxWJScnJzv9LwVK1aoYcOGcnV1VVhYmGbOnGl33LCwML388ssaNmyYvL29VaNGDb3zzju29osXL2rs2LEKDAyUm5ubQkNDNX369Bv6uQAAAKDsIzQVpffekwoa8bBYpHffLZbDnj17Vhs2bNDo0aPz3F8qICBAkZGRWrp0qQzDkCTNmDFDTZo00bfffqunn35a48eP18aNGyVZA8ebb76pt99+W4mJiVq9erUaN25s29/YsWO1c+dOLVmyRPv371e/fv3UrVs3JV4xBTEjI0OvvvqqFixYoO+//16RkZHy8/PTihUrbH1ycnK0dOlSRUZGSpIyMzPVvHlzffrpp/ruu+80cuRIDRo0SLt375YkzZ49W61bt9aIESN0/PhxHT9+XCEhIXnOxZ49e9S/f38NGDBABw4c0JQpU/Tcc88p5qqRvpkzZ6pFixb69ttvNXr0aI0aNUoHDx6UJL311ltas2aNli1bpoMHDyo2NlZhYWE3+NMBAABAWcfNbYtScrL0/8EkD8OwtheDxMREGYahiIiIfNsjIiL0xx9/6PTp05Kktm3b6umnn5Yk1a1bV/Hx8XrzzTd1zz336MiRIwoICFCXLl3k7OysGjVqqGXLlpKkI0eOKDo6WkeOHFFQUJAkadKkSVq/fr2io6P18ssvS7LeJHju3Llq0qSJrYYBAwZo0aJFGj58uCRp8+bNSklJ0UMPPSRJCg4O1qRJk2z9n3jiCW3YsEHLli1Ty5Yt5evrKxcXF3l4eCggIKDAc/HGG2/o7rvv1nPPPWf7fD/88INmzJihqKgoW78ePXpo9OjRkqSnnnpKb775prZs2aJ69erpyJEjqlOnju666y5ZLBaFhoYW8icBAACA8oiRpqIUFmY+0lTMoxVGQYHtKq1bt87zOiEhQZLUr18/XbhwQbVq1dKIESO0atUqXbp0SZJ04MAB5eTkqG7duvLy8rI9tm7dqsOHD9v25+Liottvv93uGJGRkYqLi9OxY8ckSbGxserZs6f8/PwkWUeepk6dqsaNG8vf319eXl7asGGDjhw5cl3nICEhQW3btrXb1rZtWyUmJionJ8e27cr6LBaLAgICdOrUKUnWqYB79+5VvXr1NG7cOH3++efXVQMAAADKF0JTURo2zHyk6f9HWYpaeHi4LBaLLfhcLSEhQZUqVVLVqlWvua+QkBAdPHhQc+fOlbu7u0aPHq327dsrOztb6enpcnJy0p49e7R3717bIyEhQbNnz7btw93dPc/CDHfccYdq166tJUuW6MKFC1q1apVtap5knTI4e/ZsPfXUU9qyZYv27t2rrl276uLFizd4Vsw5OzvbvbZYLLYFK5o1a6akpCRNnTpVFy5cUP/+/dW3b99iqQMAAAClH9PzilKdOtbrloYPt44sGcafz+++K4WHF8thK1eurHvuuUdz587V3/72N7vrmk6cOKHY2FgNHjzYFmS+/PJLu/d/+eWXdlP73N3d1atXL/Xq1UtjxoxR/fr1deDAATVt2lQ5OTk6deqU2rVrd911RkZGKjY2VrfddpsqVKignj172tri4+PVu3dvPfroo5Kk3Nxc/fTTT2rQoIGtj4uLi91oUX4iIiIUHx9vty0+Pl5169aVk5NToWv18fHRww8/rIcfflh9+/ZVt27ddPbsWfn7+xd6HwAAACgfCE1FLSpKuusua0hKTrZOyRs+vNgC02Vz5sxRmzZt1LVrV7300kuqWbOmvv/+e/3jH/9QcHCwpk2bZusbHx+v1157TX369NHGjRu1fPlyffrpp5Ksq9/l5OSoVatW8vDw0Icffih3d3eFhoaqcuXKioyM1ODBgzVz5kw1bdpUp0+f1ubNm3X77bfbhaD8REZGasqUKZo2bZr69u0rV1dXW1udOnX00Ucf6X//+58qVaqkN954QydPnrQLTWFhYdq1a5eSk5Pl5eWVb4CZOHGi7rjjDk2dOlUPP/ywdu7cqTlz5mju3LmFPpdvvPGGAgMD1bRpU1WoUEHLly9XQECAbSohAAAAbi1MzysO4eHS9OnS4sXW52IOTJI1dHz99deqVauW+vfvr9q1a2vkyJHq1KmTdu7caRcwJk6cqK+//lpNmzbVSy+9pDfeeENdu3aVJPn5+em///2v2rZtq9tvv12bNm3SJ598osqVK0uSoqOjNXjwYE2cOFH16tVTnz599NVXX6lGjRrXrDE8PFwtW7bU/v377abmSdKzzz6rZs2aqWvXrurYsaMCAgLUp08fuz6TJk2Sk5OTGjRooKpVq+Z7vVOzZs20bNkyLVmyRI0aNdLzzz+vF1980W4RiGvx9vbWa6+9phYtWuiOO+5QcnKy1q1bpwoV+HUBAAC4FVmMwq4eUE6kpaXJ19dXqamp8vHxsWvLzMxUUlKSatasKTc3NwdVCJRv/J4BAIDSwiwbXIl/OgcAAAAAE4QmAAAAADBBaAIAAAAAE4QmAAAAADBBaAIAAAAAE4QmAAAAADDBzW0d5fffpd9+k3JyJCcnKThYqlLF0VUBAAAAuAqhyRF+/FFKT//zdW6ulJxsDVL16zusLAAAAAB5MT2vpP3+u31gulJ6urUdAAAAQKlBaCppv/12c+03KSwsTLNmzSrWY5SkuLg4WSwWpaSkOLoUAAAAlFOEpuKQmChNniwNHGh9Tkz8sy0nx/y912o3cfToUQ0bNkxBQUFycXFRaGioxo8frzNnztzwPkuTjh07asKECXbb2rRpo+PHj8vX19cxRQEAAKDcIzQVteho63VJM2ZIy5ZZn+vXl2JirO1OTubvv1Z7AX7++We1aNFCiYmJWrx4sQ4dOqT58+dr8+bNat26tc6ePXtD+71ZOTk5ys3NLbb9u7i4KCAgQBaLpdiOAQAAgFsboakoJSZKjz1mXdghJ8f+efhw6dAh6yp5Zq7VXoAxY8bIxcVFn3/+uTp06KAaNWqoe/fu2rRpk3777Tc988wztr7nzp3TwIED5enpqeDgYP3nP/+xtRmGoSlTpqhGjRpydXVVUFCQxo0bZ2vPysrSpEmTFBwcLE9PT7Vq1UpxcXG29piYGPn5+WnNmjVq0KCBXF1dtWDBArm5ueWZQjd+/Hh17txZknTmzBkNHDhQwcHB8vDwUOPGjbV48WJb36ioKG3dulWzZ8+WxWKRxWJRcnJyvtPzVqxYoYYNG8rV1VVhYWGaOXOm3XHDwsL08ssva9iwYfL29laNGjX0zjvv2NovXryosWPHKjAwUG5ubgoNDdX06dNv6OcCAACAso/QVJTee08qaMTDYpHefde6rLiXV/59vLxuaNnxs2fPasOGDRo9erTc3d3t2gICAhQZGamlS5fKMAxJ0owZM9SkSRN9++23evrppzV+/Hht3LhRkjVwvPnmm3r77beVmJio1atXq3Hjxrb9jR07Vjt37tSSJUu0f/9+9evXT926dVPiFVMQMzIy9Oqrr2rBggX6/vvvFRkZKT8/P61YscLWJycnR0uXLlVkZKQkKTMzU82bN9enn36q7777TiNHjtSgQYO0e/duSdLs2bPVunVrjRgxQsePH9fx48cVEhKS51zs2bNH/fv314ABA3TgwAFNmTJFzz33nGIuj/T9v5kzZ6pFixb69ttvNXr0aI0aNUoHDx6UJL311ltas2aNli1bpoMHDyo2NlZhYWHX/XMBAABA+cCS40UpOVn6/2CSh2FY2yXrdL0ivE9TYmKiDMNQREREvu0RERH6448/dPr0aUlS27Zt9fTTT0uS6tatq/j4eL355pu65557dOTIEQUEBKhLly5ydnZWjRo11LJlS0nSkSNHFB0drSNHjigoKEiSNGnSJK1fv17R0dF6+eWXJUnZ2dmaO3eumjRpYqthwIABWrRokYYPHy5J2rx5s1JSUvTQQw9JkoKDgzVp0iRb/yeeeEIbNmzQsmXL1LJlS/n6+srFxUUeHh4KCAgo8Fy88cYbuvvuu/Xcc8/ZPt8PP/ygGTNmKCoqytavR48eGj16tCTpqaee0ptvvqktW7aoXr16OnLkiOrUqaO77rpLFotFoaGhhfxJAAAAoDxipKkohYWZjzRdOVpRpYrUpInUrJn1uQhubGsUFNiu0rp16zyvExISJEn9+vXThQsXVKtWLY0YMUKrVq3SpUuXJEkHDhxQTk6O6tatKy8vL9tj69atOnz4sG1/Li4uuv322+2OERkZqbi4OB07dkySFBsbq549e8rPz0+SdeRp6tSpaty4sfz9/eXl5aUNGzboyJEj13UOEhIS1LZtW7ttbdu2VWJionKuWGTjyvosFosCAgJ06tQpSdapgHv37lW9evU0btw4ff7559dVAwAAAMoXQlNRGjbMfKTp/0dZilp4eLgsFost+FwtISFBlSpVUtWqVa+5r5CQEB08eFBz586Vu7u7Ro8erfbt2ys7O1vp6elycnLSnj17tHfvXtsjISFBs2fPtu3D3d09z8IMd9xxh2rXrq0lS5bowoULWrVqlW1qnmSdMjh79mw99dRT2rJli/bu3auuXbvq4sWLN3hWzDk7O9u9tlgstgUrmjVrpqSkJE2dOlUXLlxQ//791bdv32KpAwAAAKUf0/OKUp061uuWhg+3jiwZxp/P774rhYcXy2ErV66se+65R3PnztXf/vY3u+uaTpw4odjYWA0ePNgWZL788ku793/55Zd2U/vc3d3Vq1cv9erVS2PGjFH9+vV14MABNW3aVDk5OTp16pTatWt33XVGRkYqNjZWt912mypUqKCePXva2uLj49W7d289+uijkqTc3Fz99NNPatCgga2Pi4uL3WhRfiIiIhQfH2+3LT4+XnXr1pXTdaxM6OPjo4cfflgPP/yw+vbtq27duuns2bPy9/cv9D4AAABQPhCailpUlHTXXdaQlJxsnZI3fHixBabL5syZozZt2qhr16566aWXVLNmTX3//ff6xz/+oeDgYE2bNs3WNz4+Xq+99pr69OmjjRs3avny5fr0008lWVe/y8nJUatWreTh4aEPP/xQ7u7uCg0NVeXKlRUZGanBgwdr5syZatq0qU6fPq3Nmzfr9ttvtwtB+YmMjNSUKVM0bdo09e3bV66urra2OnXq6KOPPtL//vc/VapUSW+88YZOnjxpF5rCwsK0a9cuJScny8vLK98AM3HiRN1xxx2aOnWqHn74Ye3cuVNz5szR3LlzC30u33jjDQUGBqpp06aqUKGCli9froCAANtUQgAAANxamJ5XHMLDpenTpcWLrc/FHJgka+j4+uuvVatWLfXv31+1a9fWyJEj1alTJ+3cudMuYEycOFFff/21mjZtqpdeeklvvPGGunbtKkny8/PTf//7X7Vt21a33367Nm3apE8++USVK1eWJEVHR2vw4MGaOHGi6tWrpz59+uirr75SjRo1rlljeHi4WrZsqf3799tNzZOkZ599Vs2aNVPXrl3VsWNHBQQEqE+fPnZ9Jk2aJCcnJzVo0EBVq1bN93qnZs2aadmyZVqyZIkaNWqk559/Xi+++KLdIhDX4u3trddee00tWrTQHXfcoeTkZK1bt04VKvDrAgAAcCuyGIVdPaCcSEtLk6+vr1JTU+Xj42PXlpmZqaSkJNWsWVNubm4OqhAo3/g9AwAApYVZNrgS/3QOAAAAACYITQAAAABggtAEAAAAACYITQAAAABggtAEAAAAACYITQAAAABggtAEAAAAACYITQAAAABggtAEAAAAACYITbeYsLAwzZo1y9FlFJm4uDhZLBalpKQ4uhQAAACUU4Sm4pCYKE2eLA0caH1OTCyRwx49elTDhg1TUFCQXFxcFBoaqvHjx+vMmTMlcvzi1rFjR02YMMFuW5s2bXT8+HH5+vo6pigAAACUe4SmohYdLdWvL82YIS1bZn2uX1+KiSnWw/78889q0aKFEhMTtXjxYh06dEjz58/X5s2b1bp1a509e7ZYj1+QnJwc5ebmFtv+XVxcFBAQIIvFUmzHAAAAwK2N0FSUEhOlxx6TcnOlnBz75+HDpUOHiu3QY8aMkYuLiz7//HN16NBBNWrUUPfu3bVp0yb99ttveuaZZ2x9z507p4EDB8rT01PBwcH6z3/+Y2szDENTpkxRjRo15OrqqqCgII0bN87WnpWVpUmTJik4OFienp5q1aqV4uLibO0xMTHy8/PTmjVr1KBBA7m6umrBggVyc3PLM4Vu/Pjx6ty5syTpzJkzGjhwoIKDg+Xh4aHGjRtr8eLFtr5RUVHaunWrZs+eLYvFIovFouTk5Hyn561YsUINGzaUq6urwsLCNHPmTLvjhoWF6eWXX9awYcPk7e2tGjVq6J133rG1X7x4UWPHjlVgYKDc3NwUGhqq6dOn39DPBQAAAGUfoakovfeeVNCIh8UivftusRz27Nmz2rBhg0aPHi13d3e7toCAAEVGRmrp0qUyDEOSNGPGDDVp0kTffvutnn76aY0fP14bN26UZA0cb775pt5++20lJiZq9erVaty4sW1/Y8eO1c6dO7VkyRLt379f/fr1U7du3ZR4xRTEjIwMvfrqq1qwYIG+//57RUZGys/PTytWrLD1ycnJ0dKlSxUZGSlJyszMVPPmzfXpp5/qu+++08iRIzVo0CDt3r1bkjR79my1bt1aI0aM0PHjx3X8+HGFhITkORd79uxR//79NWDAAB04cEBTpkzRc889p5irRvpmzpypFi1a6Ntvv9Xo0aM1atQoHTx4UJL01ltvac2aNVq2bJkOHjyo2NhYhYWF3eBPBwAAAGWeUUq8/PLLRosWLQwvLy+jatWqRu/evY0ff/zRrk+HDh0MSXaPxx9//LqOk5qaakgyUlNT87RduHDB+OGHH4wLFy7c2IcYMMAwKlQwDCnvo0IFa3sx+PLLLw1JxqpVq/Jtf+ONNwxJxsmTJ43Q0FCjW7dudu0PP/yw0b17d8MwDGPmzJlG3bp1jYsXL+bZzy+//GI4OTkZv/32m932u+++25g8ebJhGIYRHR1tSDL27t1r12f8+PFG586dba83bNhguLq6Gn/88UeBn6tnz57GxIkTba87dOhgjB8/3q7Pli1bDEm2/TzyyCPGPffcY9fnH//4h9GgQQPb69DQUOPRRx+1vc7NzTWqVatmzJs3zzAMw3jiiSeMzp07G7m5uQXWhht3079nAAAARcQsG1yp1Iw0bd26VWPGjNGXX36pjRs3Kjs7W/fee6/Onz9v1+/KkYbjx4/rtddec1DF+QgLMx9pKubRCuP/R5KupXXr1nleJyQkSJL69eunCxcuqFatWhoxYoRWrVqlS5cuSZIOHDignJwc1a1bV15eXrbH1q1bdfjwYdv+XFxcdPvtt9sdIzIyUnFxcTp27JgkKTY2Vj179pSfn58k68jT1KlT1bhxY/n7+8vLy0sbNmzQkSNHruscJCQkqG3btnbb2rZtq8TEROXk5Ni2XVmfxWJRQECATp06Jck6FXDv3r2qV6+exo0bp88///y6agAAAED5UtHRBVy2fv16u9cxMTGqVq2a9uzZo/bt29u2e3h4KCAgoKTLK5xhw6SCQpxhWK9rKgbh4eGyWCxKSEjQAw88kKc9ISFBlSpVUtWqVa+5r5CQEB08eFCbNm3Sxo0bNXr0aM2YMUNbt25Venq6nJyctGfPHjk5Odm9z8vLy/bf7u7ueRZmuOOOO1S7dm0tWbJEo0aN0qpVq+ymzM2YMUOzZ8/WrFmz1LhxY3l6emrChAm6ePHidZ6NwnF2drZ7bbFYbAtWNGvWTElJSfrss8+0adMm9e/fX126dNFHH31ULLUAAACgdCs1I01XS01NlST5+/vbbY+NjVWVKlXUqFEjTZ48WRkZGab7ycrKUlpamt2j2NSpY71uqUIFycnJ/vndd6Xw8GI5bOXKlXXPPfdo7ty5unDhgl3biRMnFBsbq4cfftgWZL788ku7Pl9++aUiIiJsr93d3dWrVy+99dZbiouL086dO3XgwAE1bdpUOTk5OnXqlMLDw+0ehQmykZGRio2N1SeffKIKFSqoZ8+etrb4+Hj17t1bjz76qJo0aaJatWrpp59+snu/i4uL3WhRfiIiIhQfH2+3LT4+XnXr1s0T9Mz4+Pjo4Ycf1n//+18tXbpUK1ascNgKhAAAAHCsUjPSdKXc3FxNmDBBbdu2VaNGjWzbH3nkEYWGhiooKEj79+/XU089pYMHD2rlypUF7mv69Ol64YUXSqJsq6go6a67rCEpOdk6JW/48GILTJfNmTNHbdq0UdeuXfXSSy+pZs2a+v777/WPf/xDwcHBmjZtmq1vfHy8XnvtNfXp00cbN27U8uXL9emnn0qyjvDl5OSoVatW8vDw0Icffih3d3eFhoaqcuXKioyM1ODBgzVz5kw1bdpUp0+f1ubNm3X77bfbhaD8REZGasqUKZo2bZr69u0rV1dXW1udOnX00Ucf6X//+58qVaqkN954QydPnlSDBg1sfcLCwrRr1y4lJyfLy8srT6CWpIkTJ+qOO+7Q1KlT9fDDD2vnzp2aM2eO5s6dW+hz+cYbbygwMFBNmzZVhQoVtHz5cgUEBNimEgIAAOAWUzKXWF2fv/71r0ZoaKhx9OhR036bN282JBmHDh0qsE9mZqaRmppqexw9erT4FoJwsOTkZGPIkCFG9erVDWdnZyMkJMR44oknjN9//93WJzQ01HjhhReMfv36GR4eHkZAQIAxe/ZsW/uqVauMVq1aGT4+Poanp6dx5513Gps2bbK1X7x40Xj++eeNsLAww9nZ2QgMDDQeeOABY//+/YZhWBeC8PX1LbDGli1bGpKML774wm77mTNnjN69exteXl5GtWrVjGeffdYYPHiw0bt3b1ufgwcPGnfeeafh7u5uSDKSkpLyLARhGIbx0UcfGQ0aNDCcnZ2NGjVqGDNmzLA7VmhoqPHmm2/abWvSpInxr3/9yzAMw3jnnXeMv/zlL4anp6fh4+Nj3H333cY333xjdupxHcr67xkAACg/CrsQhMUwCrl6QAkZO3asPv74Y23btk01a9Y07Xv+/Hl5eXlp/fr16tq1a6H2n5aWJl9fX6WmpsrHx8euLTMzU0lJSapZs6bc3Nxu+DMAKBi/ZwAAoLQwywZXKjXT8wzD0BNPPKFVq1YpLi7umoFJkvbu3StJCgwMLObqAAAAANyqSk1oGjNmjBYtWqSPP/5Y3t7eOnHihCTJ19dX7u7uOnz4sBYtWqQePXqocuXK2r9/v/72t7+pffv2eZa3BgAAAICiUmpC07x58yRJHTt2tNseHR2tqKgoubi4aNOmTZo1a5bOnz+vkJAQPfTQQ3r22WcdUC0AAACAW0WpCU3XurQqJCREW7duLaFqAAAAAMCq1N6nCQAAAABKA0ITAAAAAJggNAEAAACACUITAAAAAJggNKHQoqKi1KdPH9vrjh07asKECTe1z6LYBwAAAFCcCE3lQFRUlCwWiywWi1xcXBQeHq4XX3xRly5dKtbjrly5UlOnTi1U37i4OFksFqWkpNzwPgAAAABHKDVLjuPmdOvWTdHR0crKytK6des0ZswYOTs7a/LkyXb9Ll68KBcXlyI5pr+/f6nYBwAAAFCcGGkqJ1xdXRUQEKDQ0FCNGjVKXbp00Zo1a2xT6qZNm6agoCDVq1dPknT06FH1799ffn5+8vf3V+/evZWcnGzbX05Ojv7+97/Lz89PlStX1pNPPpnnXlpXT63LysrSU089pZCQELm6uio8PFzvvvuukpOT1alTJ0lSpUqVZLFYFBUVle8+/vjjDw0ePFiVKlWSh4eHunfvrsTERFt7TEyM/Pz8tGHDBkVERMjLy0vdunXT8ePHi/aEAgAAAP+P0GTCMKTz5x3zuMa9fq/J3d1dFy9elCRt3rxZBw8e1MaNG7V27VplZ2era9eu8vb21vbt2xUfH28LH5ffM3PmTMXExOi9997Tjh07dPbsWa1atcr0mIMHD9bixYv11ltvKSEhQW+//ba8vLwUEhKiFStWSJIOHjyo48ePa/bs2fnuIyoqSl9//bXWrFmjnTt3yjAM9ejRQ9nZ2bY+GRkZev311/XBBx9o27ZtOnLkiCZNmnRzJwwAAAAoANPzTGRkSF5ejjl2errk6Xn97zMMQ5s3b9aGDRv0xBNP6PTp0/L09NSCBQts0/I+/PBD5ebmasGCBbJYLJKk6Oho+fn5KS4uTvfee69mzZqlyZMn68EHH5QkzZ8/Xxs2bCjwuD/99JOWLVumjRs3qkuXLpKkWrVq2dovT8OrVq2a/Pz88t1HYmKi1qxZo/j4eLVp00aSFBsbq5CQEK1evVr9+vWTJGVnZ2v+/PmqXbu2JGns2LF68cUXr/9kAQAAAIVAaCon1q5dKy8vL2VnZys3N1ePPPKIpkyZojFjxqhx48Z21zHt27dPhw4dkre3t90+MjMzdfjwYaWmpur48eNq1aqVra1ixYpq0aJFnil6l+3du1dOTk7q0KHDDX+GhIQEVaxY0e64lStXVr169ZSQkGDb5uHhYQtMkhQYGKhTp07d8HEBAAAAM4QmEx4e1hEfRx37enTq1Enz5s2Ti4uLgoKCVLHinz9az6uGrNLT09W8eXPFxsbm2U/VqlVvqF53d/cbet+NcHZ2tnttsVgKDHMAAADAzSI0mbBYbmyKnCN4enoqPDy8UH2bNWumpUuXqlq1avLx8cm3T2BgoHbt2qX27dtLki5duqQ9e/aoWbNm+fZv3LixcnNztXXrVtv0vCtdHunKyckpsK6IiAhdunRJu3btsk3PO3PmjA4ePKgGDRoU6rMBAAAARY2FIG5BkZGRqlKlinr37q3t27crKSlJcXFxGjdunH799VdJ0vjx4/XKK69o9erV+vHHHzV69Og891i6UlhYmIYMGaJhw4Zp9erVtn0uW7ZMkhQaGiqLxaK1a9fq9OnTSs9nCK9OnTrq3bu3RowYoR07dmjfvn169NFHFRwcrN69exfLuQAAAACuhdB0C/Lw8NC2bdtUo0YNPfjgg4qIiNDw4cOVmZlpG3maOHGiBg0apCFDhqh169by9vbWAw88YLrfefPmqW/fvho9erTq16+vESNG6Pz585Kk4OBgvfDCC3r66adVvXp1jR07Nt99REdHq3nz5rrvvvvUunVrGYahdevW5ZmSBwAAAJQUi3GLXQySlpYmX19fpaam5pmalpmZqaSkJNWsWVNubm4OqhAo3/g9AwAApYVZNrgSI00AAAAAYILQBAAAAAAmCE0AAAAAYILQBAAAAAAmCE0AAAAAYILQBAAAAAAmCE0AAAAAYILQBAAAAAAmCE0AAAAAYILQhEKLiopSnz59bK87duyoCRMm3NQ+i2IfAAAAQHEiNJUDUVFRslgsslgscnFxUXh4uF588UVdunSpWI+7cuVKTZ06tVB94+LiZLFYlJKScsP7AAAAAByhoqMLQNHo1q2boqOjlZWVpXXr1mnMmDFydnbW5MmT7fpdvHhRLi4uRXJMf3//UrEPAAAAoDgx0lROuLq6KiAgQKGhoRo1apS6dOmiNWvW2KbUTZs2TUFBQapXr54k6ejRo+rfv7/8/Pzk7++v3r17Kzk52ba/nJwc/f3vf5efn58qV66sJ598UoZh2B3z6ql1WVlZeuqppxQSEiJXV1eFh4fr3XffVXJysjp16iRJqlSpkiwWi6KiovLdxx9//KHBgwerUqVK8vDwUPfu3ZWYmGhrj4mJkZ+fnzZs2KCIiAh5eXmpW7duOn78eNGeUAAAAOD/EZpMGIZ0/rxjHlflk+vm7u6uixcvSpI2b96sgwcPauPGjVq7dq2ys7PVtWtXeXt7a/v27YqPj7eFj8vvmTlzpmJiYvTee+9px44dOnv2rFatWmV6zMGDB2vx4sV66623lJCQoLffflteXl4KCQnRihUrJEkHDx7U8ePHNXv27Hz3ERUVpa+//lpr1qzRzp07ZRiGevTooezsbFufjIwMvf766/rggw+0bds2HTlyRJMmTbq5EwYAAAAUgOl5JjIyJC8vxxw7PV3y9Lz+9xmGoc2bN2vDhg164okndPr0aXl6emrBggW2aXkffvihcnNztWDBAlksFklSdHS0/Pz8FBcXp3vvvVezZs3S5MmT9eCDD0qS5s+frw0bNhR43J9++knLli3Txo0b1aVLF0lSrVq1bO2Xp+FVq1ZNfn5++e4jMTFRa9asUXx8vNq0aSNJio2NVUhIiFavXq1+/fpJkrKzszV//nzVrl1bkjR27Fi9+OKL13+yAAAAgEIgNJUTa9eulZeXl7Kzs5Wbm6tHHnlEU6ZM0ZgxY9S4cWO765j27dunQ4cOydvb224fmZmZOnz4sFJTU3X8+HG1atXK1laxYkW1aNEizxS9y/bu3SsnJyd16NDhhj9DQkKCKlasaHfcypUrq169ekpISLBt8/DwsAUmSQoMDNSpU6du+LgAAACAGUKTCQ8P64iPo459PTp16qR58+bJxcVFQUFBqljxzx+t51VDVunp6WrevLliY2Pz7Kdq1ao3VK+7u/sNve9GODs72722WCwFhjkAAADgZhGaTFgsNzZFzhE8PT0VHh5eqL7NmjXT0qVLVa1aNfn4+OTbJzAwULt27VL79u0lSZcuXdKePXvUrFmzfPs3btxYubm52rp1q2163pUuj3Tl5OQUWFdERIQuXbqkXbt22abnnTlzRgcPHlSDBg0K9dkAAACAosZCELegyMhIValSRb1799b27duVlJSkuLg4jRs3Tr/++qskafz48XrllVe0evVq/fjjjxo9enSeeyxdKSwsTEOGDNGwYcO0evVq2z6XLVsmSQoNDZXFYtHatWt1+vRppeczhFenTh317t1bI0aM0I4dO7Rv3z49+uijCg4OVu/evYvlXAAAAADXQmi6BXl4eGjbtm2qUaOGHnzwQUVERGj48OHKzMy0jTxNnDhRgwYN0pAhQ9S6dWt5e3vrgQceMN3vvHnz1LdvX40ePVr169fXiBEjdP78eUlScHCwXnjhBT399NOqXr26xo4dm+8+oqOj1bx5c913331q3bq1DMPQunXr8kzJAwAAAEqKxbjFLgZJS0uTr6+vUlNT80xNy8zMVFJSkmrWrCk3NzcHVQiUb/yeAQCA0sIsG1yJkSYAAAAAMEFoAgAAAAAThCYAAAAAMEFoAgAAAAAThCYAAAAAMEFoAgAAAAAThCYAAAAAMEFoAgAAAAAThCYAAAAAMEFoQqFFRUWpT58+ttcdO3bUhAkTbmqfRbEPAAAAoDgRmsqBqKgoWSwWWSwWubi4KDw8XC+++KIuXbpUrMdduXKlpk6dWqi+cXFxslgsSklJueF9AAAAAI5Q0dEFoGh069ZN0dHRysrK0rp16zRmzBg5Oztr8uTJdv0uXrwoFxeXIjmmv79/qdgHAAAAUJwYaSonXF1dFRAQoNDQUI0aNUpdunTRmjVrbFPqpk2bpqCgINWrV0+SdPToUfXv319+fn7y9/dX7969lZycbNtfTk6O/v73v8vPz0+VK1fWk08+KcMw7I559dS6rKwsPfXUUwoJCZGrq6vCw8P17rvvKjk5WZ06dZIkVapUSRaLRVFRUfnu448//tDgwYNVqVIleXh4qHv37kpMTLS1x8TEyM/PTxs2bFBERIS8vLzUrVs3HT9+vGhPKAAAAPD/CE0mDEM6f94xj6vyyXVzd3fXxYsXJUmbN2/WwYMHtXHjRq1du1bZ2dnq2rWrvL29tX37dsXHx9vCx+X3zJw5UzExMXrvvfe0Y8cOnT17VqtWrTI95uDBg7V48WK99dZbSkhI0Ntvvy0vLy+FhIRoxYoVkqSDBw/q+PHjmj17dr77iIqK0tdff601a9Zo586dMgxDPXr0UHZ2tq1PRkaGXn/9dX3wwQfatm2bjhw5okmTJt3cCQMAAAAKwPQ8ExkZkpeXY46dni55el7/+wzD0ObNm7VhwwY98cQTOn36tDw9PbVgwQLbtLwPP/xQubm5WrBggSwWiyQpOjpafn5+iouL07333qtZs2Zp8uTJevDBByVJ8+fP14YNGwo87k8//aRly5Zp48aN6tKliySpVq1atvbL0/CqVasmPz+/fPeRmJioNWvWKD4+Xm3atJEkxcbGKiQkRKtXr1a/fv0kSdnZ2Zo/f75q164tSRo7dqxefPHF6z9ZAAAAQCEQmsqJtWvXysvLS9nZ2crNzdUjjzyiKVOmaMyYMWrcuLHddUz79u3ToUOH5O3tbbePzMxMHT58WKmpqTp+/LhatWpla6tYsaJatGiRZ4reZXv37pWTk5M6dOhww58hISFBFStWtDtu5cqVVa9ePSUkJNi2eXh42AKTJAUGBurUqVM3fFwAAADADKHJhIeHdcTHUce+Hp06ddK8efPk4uKioKAgVaz454/W86ohq/T0dDVv3lyxsbF59lO1atUbqtfd3f2G3ncjnJ2d7V5bLJYCwxwAAABwswhNJiyWG5si5wienp4KDw8vVN9mzZpp6dKlqlatmnx8fPLtExgYqF27dql9+/aSpEuXLmnPnj1q1qxZvv0bN26s3Nxcbd261TY970qXR7pycnIKrCsiIkKXLl3Srl27bNPzzpw5o4MHD6pBgwaF+mwAAABAUWMhiFtQZGSkqlSpot69e2v79u1KSkpSXFycxo0bp19//VWSNH78eL3yyitavXq1fvzxR40ePTrPPZauFBYWpiFDhmjYsGFavXq1bZ/Lli2TJIWGhspisWjt2rU6ffq00vMZwqtTp4569+6tESNGaMeOHdq3b58effRRBQcHq3fv3sVyLgAAAIBrITTdgjw8PLRt2zbVqFFDDz74oCIiIjR8+HBlZmbaRp4mTpyoQYMGaciQIWrdurW8vb31wAMPmO533rx56tu3r0aPHq369etrxIgROn/+vCQpODhYL7zwgp5++mlVr15dY8eOzXcf0dHRat68ue677z61bt1ahmFo3bp1eabkAQAAACXFYtxiF4OkpaXJ19dXqampeaamZWZmKikpSTVr1pSbm5uDKgTKN37PAABAaWGWDa7ESBMAAAAAmCA0AQAAAIAJQhMAAAAAmCA0AQAAAIAJQhMAAAAAmCA0AQAAAIAJQhMAAAAAmCA0AQAAAIAJQhMAAAAAmCA0FcLFixeVkZFRYo+LFy86+iOXaoZhaOTIkfL395fFYtHevXvVsWNHTZgwwfR9YWFhmjVrVonUeKPi4uJksViUkpLi6FJuisVi0erVqx1dBgAAQJGo6OgCSruLFy9q9+7dSk9PL7Fjenl5qWXLlnJxcSlU/3Pnzum5557TqlWrdOrUKTVt2lSzZ8/WHXfcYesTFRWlhQsX2r2va9euWr9+vSQpKytLjz32mD7++GMFBARo7ty56tKli63vjBkzdOTIEf373/8ugk94c9avX6+YmBjFxcWpVq1aqlKlilauXClnZ2dHl3bT2rRpo+PHj8vX17fQ74mKilJKSgohBQAAoJgQmq7h0qVLSk9Pl4uLi1xdXYv9eFlZWUpPT9elS5cKHZoee+wxfffdd/rggw8UFBSkDz/8UF26dNEPP/yg4OBgW79u3bopOjra9vrKz/POO+9oz5492rlzpz777DM98sgjOnnypCwWi5KSkvTf//5XX3/9ddF90Jtw+PBhBQYGqk2bNrZt/v7+Dqyo6Li4uCggIMAhx7548WKhv3MAAAC3EqbnFZKrq6vc3NyK/XG9wezChQtasWKFXnvtNbVv317h4eGaMmWKwsPDNW/evDyfISAgwPaoVKmSrS0hIUH333+/GjZsqDFjxuj06dP6/fffJUmjRo3Sq6++Kh8fn0LV9N5776lhw4ZydXVVYGCgxo4da2s7cuSIevfuLS8vL/n4+Kh///46efKkrX3KlCn6y1/+og8++EBhYWHy9fXVgAEDdO7cOUnWUZUnnnhCR44ckcViUVhYmCTlmZ536tQp9erVS+7u7qpZs6ZiY2Pz1JmSkqLHHntMVatWlY+Pjzp37qx9+/YVuhZJys3N1Wuvvabw8HC5urqqRo0amjZtmq396NGj6t+/v/z8/OTv76/evXsrOTm5wHN39fS8mJgY+fn5acOGDYqIiJCXl5e6deum48eP22pcuHChPv74Y1ksFlksFsXFxRXq2FFRUerTp4+mTZumoKAg1atXT//85z/VqlWrPHU1adJEL774oiTpq6++0j333KMqVarI19dXHTp00DfffFPgZwIAACjrCE1l3KVLl5STkyM3Nze77e7u7tqxY4fdtri4OFWrVk316tXTqFGjdObMGVtbkyZNtGPHDl24cEEbNmxQYGCgqlSpotjYWLm5uemBBx4oVD3z5s3TmDFjNHLkSB04cEBr1qxReHi4JGvA6N27t86ePautW7dq48aN+vnnn/Xwww/b7ePw4cNavXq11q5dq7Vr12rr1q165ZVXJEmzZ8/Wiy++qNtuu03Hjx/XV199lW8dUVFROnr0qLZs2aKPPvpIc+fO1alTp+z69OvXT6dOndJnn32mPXv2qFmzZrr77rt19uzZQtUiSZMnT9Yrr7yi5557Tj/88IMWLVqk6tWrS5Kys7PVtWtXeXt7a/v27YqPj7eFnuu5bi0jI0Ovv/66PvjgA23btk1HjhzRpEmTJEmTJk1S//79bUHq+PHjatOmTaGPvXnzZh08eFAbN27U2rVrFRkZqd27d+vw4cO2Pt9//73279+vRx55RJJ1OuiQIUO0Y8cOffnll6pTp4569OhhFyYBAADKE6bnlXHe3t5q3bq1pk6dqoiICFWvXl2LFy/Wzp07bWFFsk7Ne/DBB1WzZk0dPnxY//znP9W9e3ft3LlTTk5OGjZsmPbv368GDRqoSpUqWrZsmf744w89//zziouL07PPPqslS5aodu3aeu+99+ym/V3ppZde0sSJEzV+/HjbtsvXVm3evFkHDhxQUlKSQkJCJEnvv/++GjZsqK+++srWLzc3VzExMfL29pYkDRo0SJs3b9a0adPk6+srb29vOTk5FTiN7aefftJnn32m3bt32/b57rvvKiIiwtZnx44d2r17t06dOmUb3Xv99de1evVqffTRRxo5cuQ1azl37pxmz56tOXPmaMiQIZKk2rVr66677pIkLV26VLm5uVqwYIEsFoskKTo6Wn5+foqLi9O9995bqJ9xdna25s+fr9q1a0uSxo4daxv18fLykru7u7KysuzOx4cfflioY3t6emrBggV20/KaNGmiRYsW6bnnnpMkxcbGqlWrVrbvU+fOne3qe+edd+Tn56etW7fqvvvuK9RnAgAAKEsYaSoHPvjgAxmGoeDgYLm6uuqtt97SwIEDVaHCnz/eAQMG6P7771fjxo3Vp08frV27Vl999ZVtKpezs7P+85//KCkpSV999ZXuuusuTZw4UePGjdO3336r1atXa9++fbrzzjs1bty4fOs4deqUjh07prvvvjvf9oSEBIWEhNgCkyQ1aNBAfn5+SkhIsG0LCwuzhRRJCgwMzDNKZCYhIUEVK1ZU8+bNbdvq168vPz8/2+t9+/YpPT1dlStXlpeXl+2RlJRkN8piVktCQoKysrIK/Lz79u3ToUOH5O3tbdu/v7+/MjMz7Y5xLR4eHrbAdHUNBSnssRs3bpznOqbIyEgtWrRIknWlwsWLFysyMtLWfvLkSY0YMUJ16tSRr6+vfHx8lJ6eriNHjhT6MwEAAJQljDSVA7Vr19bWrVt1/vx5paWlKTAwUA8//LBq1apV4Hsurzp36NChfP/o37Jli77//nstWLBA//jHP9SjRw95enqqf//+mjNnTr77dHd3L5LPc/UqeBaLRbm5uUWy78vS09MVGBhoC41XujJcmdVyrc+bnp6u5s2b53s9VdWqVQtda341GIZRJMf29PTM0z5w4EA99dRT+uabb3ThwgUdPXrUbgrlkCFDdObMGc2ePVuhoaFydXVV69atWSofAACUW4SmcsTT01Oenp76448/tGHDBr322msF9v3111915swZBQYG5mnLzMzUmDFjFBsbKycnJ+Xk5Nj+SM/OzlZOTk6++/T29lZYWJg2b96sTp065WmPiIjQ0aNHdfToUdto0w8//KCUlBQ1aNDgRj5yvurXr69Lly5pz549tul5Bw8etLv3UbNmzXTixAlVrFjRtpjE9apTp47c3d21efNmPfbYY3namzVrpqVLl6patWqFXkTjRri4uOT5mdzMsW+77TZ16NBBsbGxunDhgu655x5Vq1bN1h4fH6+5c+eqR48ekqwLTlxeNAQAAKA8YnpeObBhwwatX79eSUlJ2rhxozp16qT69etr6NChkqyjDv/4xz/05ZdfKjk5WZs3b1bv3r0VHh6url275tnf1KlT1aNHDzVt2lSS1LZtW61cuVL79+/XnDlz1LZt2wJrmTJlimbOnKm33npLiYmJ+uabb2z3durSpYsaN26syMhIffPNN9q9e7cGDx6sDh06qEWLFkV2PurVq6du3brp8ccf165du7Rnzx499thjdiNDXbp0UevWrdWnTx99/vnnSk5O1v/+9z8988wzhV5a3c3NTU899ZSefPJJvf/++zp8+LC+/PJLvfvuu5Ks09yqVKmi3r17a/v27UpKSlJcXJzGjRunX3/9tcg+b1hYmPbv36+DBw/q999/V3Z29k0fOzIyUkuWLNHy5cvtpuZJ1rD4wQcfKCEhQbt27VJkZGSRjTICAACURoSmQsrKylJmZmaxP7Kysq67ttTUVI0ZM0b169fX4MGDddddd2nDhg22aV1OTk7av3+/7r//ftWtW1fDhw9X8+bNtX379jxLnH/33XdatmyZXnjhBdu2vn37qmfPnmrXrp3279+v2bNnF1jLkCFDNGvWLM2dO1cNGzbUfffdp8TEREnWaWUff/yxKlWqpPbt26tLly6qVauWli5det2f+Vqio6MVFBSkDh066MEHH9TIkSPtRkssFovWrVun9u3ba+jQoapbt64GDBigX375xbb6XWE899xzmjhxop5//nlFRETo4Ycftl1v5OHhoW3btqlGjRp68MEHFRERoeHDhyszM7NIR55GjBihevXqqUWLFqpatari4+Nv+th9+/bVmTNnlJGRoT59+ti1vfvuu/rjjz/UrFkzDRo0SOPGjbM7twAAAOWNxbjWxRHlTFpamnx9fZWamprnj8fMzEwlJSWpZs2atiW8L168qN27dys9Pb3EavTy8lLLli250SjKpfx+zwAAABzBLBtciWuarsHFxUUtW7bUpUuXSuyYFStWJDABAAAApQShqRBcXFwIMQAAAMAtimuaAAAAAMAEoQkAAAAATBCaAAAAAMAEoSkft9iCgkCJys3NdXQJAAAA14WFIK7g7Owsi8Wi06dPq2rVqrJYLI4uCSg3DMPQxYsXdfr0aVWoUIHFVQAAQJlBaLqCk5OTbrvtNv36669KTk52dDklLz1dSkmRcnOlChUkPz/Jy8vRVaGc8fDwUI0aNVShAgPdAACgbCA0XcXLy0t16tRRdna2o0spWZGR0p49ebe3aCF9+GHJ14NyycnJSRUrVmQUFwAAlCmEpnw4OTnJycnJ0WWUnJgYaeXK/Nt++UW6/35p8OASLQkAAAAoLZgfA+mZZ8zbJ08umToAAACAUojQBOt1TDfTDgAAAJRjhCZYF3y4mXYAAACgHCM0QZo2zbx9+vSSqQMAAAAohQhNkKKipHbt8m9r145FIAAAAHBLIzTBats2aeFCKShI8vCwPi9caN0OAAAA3MIshmEYji6iJKWlpcnX11epqany8fFxdDk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"
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/plain": "<Figure size 1000x1000 with 1 Axes>",
"image/png": 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"
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/plain": "<Figure size 1000x1000 with 1 Axes>",
"image/png": 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h35trVZh5Vb/99hshISE0bdqUkydPApCQkMCECRMIDAzExcWFkJAQ5syZQ3Z29mX7KmiOUo7du3fTpk0bXF1dqVu3Lu+++26+Nr/++iv33Xcfvr6+uLu7889//pOPP/44X7vCfjcTEhIICwvD29vb/t0sqBQuIyODn3/+mfj4+Mu+vsspaG5ZTsITFRV1xefPnz+fNm3acM8995CdnU1ycnKB7XK+tzVq1Mi1v2bNmgC5Rq7Wrl3LXXfdZU+SALp27UqDBg1Ys2ZNrudf62deGNu3b+fMmTOMGjUq1/7Ro0eTnJxs/4x/+OEHEhISGDhwoD1JArjrrrvw8PBg1apV1x2LiFhPiZKIlGkpKSl06dKF9957j9DQUObOnYu3tzdhYWEsXLjQ3i47O5vevXuzcuVKhgwZwsyZM4mPj2fIkCFXfc5+/fphGAbr1q2z73v//fdp1KgRLVq0yNf+119/ZcOGDdx1113Mnz+fxx9/nEOHDtG5c2eOHz+er/2MGTP4+OOPmTRpErNmzcLZ2ZmPP/6YgQMHUqlSJWbPnk2/fv0YNmwY+/btK3TcAwYM4Pz588yePZsBAwawfPlynn/++VxtlixZQlBQEE899RTz5s0jMDCQUaNG8e9///sq3qGid/ToUTp16oSnpyeRkZHUqFGDCxcu0LlzZ1asWMHgwYN59dVX6dChA1OmTOGxxx67pvMcOXKE/v37c8cddzBv3jyqVKlCWFgYP/74o73NyZMnad++PVu2bGHUqFHMnDmT1NRU7r77btavX29vV9jvpmma9OnTh/fee48HH3yQF154gd9//73A7+Yff/xB48aNmTJlyjW9vks5ceIEANWqVbtsu3PnzvH111/TunVrnnrqKby9vfHw8KBu3br5EppOnTrh4ODA+PHj+fLLL/n999/ZvHkzM2fOpG/fvjRq1Mj+mk6dOkWrVq3yna9NmzZ8//339sfF8ZlfLOdceWNp2bIlDg4O9uNpaWkABZYpurm58f333xdJ4iYiFjNFREqpmJgYEzDnzp17yTYLFiwwAXPFihX2fenp6Wa7du1MDw8P89y5c6ZpmubatWtNwFywYIG9XVZWlnnbbbeZgBkeHn7FeIYMGWJWrlzZNE3T7N+/v3n77bfb+/H39zeff/75AmNOTU01s7Ky8r02FxcXc/r06fZ927dvNwGzbt265oULF3K1b9asmXnDDTeY58+ft++LjIw0ATMoKChXW8B87rnn7I+fe+45EzCHDh2aq90999xjVq1aNde+vOc1TdPs1q2bWbdu3Vz7OnfubHbu3Dlf27xyXtMHH3xw2XaXivn06dNmVFSUGRAQYLZu3do8e/asvc2MGTPMypUrm7/88kuuviZPnmw6OjqacXFxl+w/PDzcBMyYmBj7vqCgIBMwd+7cad936tQp08XFxZw4caJ934QJE0zA3LVrl33f+fPnzTp16pjBwcH2z7qw380NGzaYgPnSSy/Z22VmZpodO3bM993M+X4NGTLksu/n1Ro2bJjp6OiY773M67vvvjMBs2rVqmaNGjXMxYsXmxEREWabNm1MwzDMTz75JFf7ZcuWmT4+PiZgvw0ZMsTMyMiwt/nmm29MwHz33Xfzne/xxx83ATM1NdU0zav7zPPK+cwvZ/To0aajo2OBx/z8/MxBgwaZpmmap0+fNg3DMIcNG5arzc8//2x/nX/++edlzyUipZ9GlESkTNu8eTP+/v7cf//99n2VKlVi3LhxJCUlsWPHDgA+/fRTKlWqxPDhw+3tHBwcGD169DWd94EHHiAyMpITJ07wxRdfcOLEiQLL7sA2rylnjlFWVhZnzpzBw8ODhg0b8t133+VrP2TIkFx/qT5+/DiHDh1i8ODBeHh42Pd37tyZZs2aFTrmf/3rX7ked+zYkTNnzthLpCD3X8gTExP5888/6dy5M7/++iuJiYmFPldR+eGHH+jcuTPBwcF8/vnnVKlSxX7sgw8+oGPHjlSpUoU///zTfuvatStZWVns3Lnzqs/XpEkTOnbsaH/s5+dHw4YN+fXXX+37Nm/eTJs2bbjlllvs+zw8PBgxYgSxsbH89NNP9naF+W5u3rwZJycnRo4caW/n6OhY4ByX4OBgTNMs0iXD33//fd566y0mTpxI/fr1L9s2KSkJsJWxfvTRR4wcOZIHHniAbdu2UbVqVV544YVc7WvVqkWbNm1YsGAB69ev57HHHiMiIoLJkyfb2+SsIFnQwho5c9dy2lzNZ/7XX3/lapMT+8X7/vzzz1zlpykpKZdcOMLV1dUeR7Vq1RgwYADvvPMO8+bN49dff2XXrl32Ud+LYxaRskuLOYhImfbbb79Rv379fIsdNG7c2H48Z1uzZk3c3d1ztQsJCcn1OCUlJV9C4O/vn++8PXv2xNPTk9WrV7N//35at25NSEhIgXNesrOzWbhwIYsXLyYmJoasrCz7sapVq+ZrX6dOnXyvsaBYc/YVlGwV5OL5H4A96fjrr7/w8vICYM+ePTz33HPs3bs33/ylxMREvL29C+w7p3Qrh7e3d6FWT7uS3r17U6NGDbZs2ZIrSQTbcuwHDx7Ez8+vwOdevAJbYeV9j8D2Pv3111/2x7/99htt27bN1+7i71zTpk2v+ruZ9/U1bNjwquPPUdjv8a5duxg2bBjdunVj5syZV+w35zOtU6dOrvfAw8OD3r17s2LFCjIzM3FycmLPnj3cddddfPnll/ZStr59++Ll5cXzzz/P0KFDadKkib3PnHK2i+WsIJnT5mo+8+bNm9vf44vlfe5zzz1nnx/n5uZGenp6gX2npqbm+k6//vrrpKSkMGnSJCZNmgTAgw8+SL169Vi3bl2+z1NEyh4lSiIiF1m9ejUPP/xwrn1mAatkubi40K9fP9555x1+/fXXyy5EMGvWLKZOncrQoUOZMWMGvr6+ODg4MGHChALnMRRFglGQS63ylvP6jh49yu23306jRo2YP38+gYGBODs7s3nzZl555ZXLzrnImaCfIzw8nLCwsOuO+d577+Wdd94hIiKCRx99NNex7Oxs7rjjDp544okCn9ugQYOrPt+V3qOyojDf4wMHDnD33XfTtGlTPvzww0Itzx4QEADkX6ABoHr16mRkZJCcnIy3tzevv/46NWrUyDff5+6772batGn897//pUmTJvbvTkELVMTHx+Pr62sfbbqazzwiIiLXqM5nn33G3Llz2bp1a67n1K1b136/Zs2aZGVlcerUKapXr27fn56ezpkzZ+yvH2x/DPjoo4+Ii4sjNjaWoKAggoKCaN++PX5+fvj4+BQYo4iUHUqURKRMCwoK4uDBg2RnZ+f6y/3PP/9sP56z3b59OxcuXMg1qnTkyJFc/XXr1i3fD6lLeeCBB3j77bdxcHBg0KBBl2z34Ycfcuutt/LWW2/l2p+QkHDFyfMXv4a8sV5q37X6z3/+Q1paGhs3bsw1srJ9+/YrPjfve3bjjTcWSUxz587FycmJUaNG4enpmau8sV69eiQlJdG1a9ciOVdhBQUFcfjw4Xz7C/rOFfa7uW3bNpKSknKNQhR0jsK60vf46NGjdO/enerVq7N58+ZCj34EBATg7+/PH3/8ke/Y8ePHcXV1xdPTE7AtenHx6GmOjIwMADIzMwFbeZ6fnx/ffvttvrZff/01//jHP+yPr+Yz79ChQ67Hv//+O8Bln5tzrm+//ZaePXva93/77bdkZ2fniiVH7dq17f9eEhIS2LdvH/fee+8V4xOR0k9zlESkTOvZsycnTpxg9erV9n2ZmZm89tpreHh40LlzZ8D2wzEjI4M333zT3i47Ozvfam41a9aka9euuW6XcuuttzJjxgwWLVpUYFlTDkdHx3x/zf/ggw8K/LFZkICAAJo2bcq7775rn2cBsGPHDg4dOlSoPgojZzTl4lgTExMJDw+/4nPzvmd5R5iulWEYvPHGG/Tv358hQ4awceNG+7EBAwawd+9etmzZku95CQkJ9h/iRa1nz558/fXX7N27174vOTmZN954g+DgYJo0aWJvV5jvZs+ePcnMzMy1DHtWVhavvfZavnMXdnnwy32PT5w4wZ133omDgwNbtmy5ZBkb2BKqo0eP5to3cOBAjh07lisR+/PPP/noo4+47bbb7ElhgwYNOHnyJJGRkbmev3LlSgD7NZTANnK4adMmjh07Zt+3bds2fvnlF+677z77vuL+zG+77TZ8fX3zLYm/ZMkS3N3dc10PqiBTpkwhMzOT//u//7uuOESkdNCIkoiUetu2bbPPVbhY3759GTFiBK+//jphYWHs27eP4OBgPvzwQ/bs2cOCBQvsf93u27cvbdq0YeLEiRw5coRGjRqxceNGzp49C5DrWiiF5eDgwDPPPHPFdnfddRfTp0/n4Ycfpn379hw6dIiIiIhcJT9XMmvWLPr06UOHDh14+OGH+euvv1i0aBFNmzbNlTxdjzvvvBNnZ2d69+7No48+SlJSEm+++SbVq1e/ruv2gO06OTkjKRcbMmQIgYGBl32ug4MDK1asoG/fvgwYMIDNmzdz22238fjjj7Nx40buuusuwsLCaNmyJcnJyRw6dIgPP/yQ2NjYQo3YXa3JkyezcuVKevTowbhx4/D19eWdd94hJiaGtWvX2hOFwn43e/fuTYcOHZg8eTKxsbE0adKEdevWFbh4Rs7y4EOGDLnmBR26d+/Or7/+yhNPPMHu3bvZvXu3/ViNGjW444477I9vv/12gFxz76ZMmcKaNWu49957eeyxx/D29mbp0qVkZGQwa9Yse7sxY8YQHh5O7969GTt2LEFBQezYsYOVK1dyxx135Jrj9NRTT/HBBx9w6623Mn78eJKSkpg7dy7NmjXLVUJY3J+5m5sbM2bMYPTo0dx3331069aNXbt2sWLFCmbOnImvr6+97YsvvsgPP/xA27ZtcXJyYsOGDXz22We88MILtG7d+ppjEJFSxMIV90RELitnKeRL3d577z3TNE3z5MmT5sMPP2xWq1bNdHZ2Nps1a1bgct+nT582H3jgAdPT09P09vY2w8LCzD179piAuWrVqivGc/Hy4FeKOe/y4BMnTjRr1qxpurm5mR06dDD37t2bb4ntKy2lvWrVKrNRo0ami4uL2bRpU3Pjxo3mvffeazZq1ChXOy6z1PbFCloie+PGjeZNN91kurq6msHBweacOXPMt99+O1+7q10e/FK3nCW2CxPzhQsXzM6dO5seHh7ml19+aZqmbVnuKVOmmCEhIaazs7NZrVo1s3379ubLL79spqenX/I9udTy4L169cr3Ggp6rUePHjX79+9v+vj4mK6urmabNm3MTZs25XtuYb+bZ86cMR966CHTy8vL9Pb2Nh966CHz+++/L5blwS/3eeR9nUFBQfmWn895/ffcc4/p5eVlurm5mbfddpv59ddf52v3888/m/379zcDAwPNSpUqmUFBQeakSZPM5OTkfG1/+OEH88477zTd3d1NHx8fMzQ01Dxx4kS+doX9zPMqzPLgOd544w2zYcOGprOzs1mvXj3zlVdeMbOzs3O12bRpk9mmTRvT09PTdHd3N//5z3+aa9asKVT/IlI2GKZZxmaoiogUoQ0bNnDPPfewe/fufHMayoJ//OMf+Pn5FXpelYiIiBSO5iiJSIWR97omOfNAvLy8aNGihUVRFU5GRka++ReRkZEcOHCALl26WBOUiIhIOaY5SiJSYYwdO5aUlBTatWtHWloa69at47///S+zZs0qtiW5i8off/xB165defDBBwkICODnn39m6dKl+Pv757uQrIiIiFw/ld6JSIXx/vvvM2/ePI4cOUJqaiohISGMHDmSMWPGWB3aFSUmJjJixAj27NnD6dOnqVy5Mrfffjsvvvgi9erVszo8ERGRckeJkoiIiIiISB6aoyQiIiIiIpKHEiUREREREZE8KsRiDtnZ2Rw/fhxPT89ruqikiIiIiIiUD6Zpcv78eQICAuwXCS9IhUiUjh8/fsUrv4uIiIiISMVx7NgxbrjhhkserxCJkqenJ2B7M7y8vCyORkRERERErHLu3DkCAwPtOcKlVIhEKafczsvLS4mSiIiIiIhccUqOFnMQERERERHJQ4mSiIiIiIhIHkqURERERERE8qgQc5QKwzRNMjMzycrKsjoUkXKnUqVKODo6Wh2GiIiISKEpUQLS09OJj4/nwoULVociUi4ZhsENN9yAh4eH1aGIiIiIFEqFT5Sys7OJiYnB0dGRgIAAnJ2ddVFakSJkmianT5/m999/p379+hpZEhERkTKhwidK6enpZGdnExgYiLu7u9XhiJRLfn5+xMbGkpGRoURJREREygQt5vA3Bwe9FSLFRaO0IiIiUtYoOxAREREREclDiZKIiIiIiEgeSpQqgODgYBYsWGB1GEUmMjISwzBISEiwOhQRERERKaeUKBWV6GiYMgXuv9+2jY4ukdMeO3aMoUOH2lfsCwoKYvz48Zw5c6ZEzl/cunTpwoQJE3Lta9++PfHx8Xh7e1sTlIiIiIiUe0qUikJ4ODRqBHPnwpo1tm2jRrB8ebGe9tdff6VVq1ZER0ezcuVKjhw5wtKlS9m2bRvt2rXj7NmzxXr+S8nKyiI7O7vY+nd2dsbf318LBIiIiIhIsVGidL2io+GRRyA7G7Kycm+HDYMjR4rt1KNHj8bZ2ZnPPvuMzp07U7t2bXr06MHnn3/OH3/8wdNPP21ve/78ee6//34qV65MrVq1+Pe//20/Zpom06ZNo3bt2ri4uBAQEMC4cePsx9PS0pg0aRK1atWicuXKtG3blsjISPvx5cuX4+Pjw8aNG2nSpAkuLi4sW7YMV1fXfOVx48eP57bbbgPgzJkz3H///dSqVQt3d3eaNWvGypUr7W3DwsLYsWMHCxcuxDAMDMMgNja2wNK7tWvXcuONN+Li4kJwcDDz5s3Ldd7g4GBmzZrF0KFD8fT0pHbt2rzxxhv24+np6YwZM4aaNWvi6upKUFAQs2fPvqbPRURERETKPiVK1+vtt+FSIxuGAW+9VSynPXv2LFu2bGHUqFG4ubnlOubv709oaCirV6/GNE0A5s6dy80338z333/P5MmTGT9+PFu3bgVsScYrr7zC66+/TnR0NBs2bKBZs2b2/saMGcPevXtZtWoVBw8e5L777qN79+5EX1ReeOHCBebMmcOyZcv48ccfCQ0NxcfHh7Vr19rbZGVlsXr1akJDQwFITU2lZcuWfPzxx/zwww+MGDGChx56iK+//hqAhQsX0q5dO4YPH058fDzx8fEEBgbmey/27dvHgAEDGDRoEIcOHWLatGlMnTqV5XlG9ObNm0erVq34/vvvGTVqFCNHjuTw4cMAvPrqq2zcuJE1a9Zw+PBhIiIiCA4OvsZPR0RERETKugp/wdnrFhsLfycj+Zim7XgxiI6OxjRNGjduXODxxo0b89dff3H69GkAOnTowOTJkwFo0KABe/bs4ZVXXuGOO+4gLi4Of39/unbtSqVKlahduzZt2rQBIC4ujvDwcOLi4ggICABg0qRJfPrpp4SHhzNr1iwAMjIyWLx4MTfffLM9hkGDBvH+++8zbNgwALZt20ZCQgL33nsvALVq1WLSpEn29mPHjmXLli2sWbOGNm3a4O3tjbOzM+7u7vj7+1/yvZg/fz633347U6dOtb++n376iblz5xIWFmZv17NnT0aNGgXAk08+ySuvvML27dtp2LAhcXFx1K9fn1tuuQXDMAgKCirkJyEiIiIi5ZFGlK5XcPDlR5SKeVTCvFSSlke7du3yPY6KigLgvvvuIyUlhbp16zJ8+HDWr19PZmYmAIcOHSIrK4sGDRrg4eFhv+3YsYOjR4/a+3N2duamm27KdY7Q0FAiIyM5fvw4ABEREfTq1QsfHx/ANsI0Y8YMmjVrhq+vLx4eHmzZsoW4uLireg+ioqLo0KFDrn0dOnQgOjqarKws+76L4zMMA39/f06dOgXYyvz2799Pw4YNGTduHJ999tlVxSAiIiIi5YsSpes1dOjlR5T+Hk0paiEhIRiGYU928oqKiqJKlSr4+fldsa/AwEAOHz7M4sWLcXNzY9SoUXTq1ImMjAySkpJwdHRk37597N+/336Liopi4cKF9j7c3NzyLa7QunVr6tWrx6pVq0hJSWH9+vX2sjuwlQMuXLiQJ598ku3bt7N//366detGenr6Nb4rl1epUqVcjw3DsC860aJFC2JiYpgxYwYpKSkMGDCA/v37F0scIiIiIlL6qfTuetWvb5uHNGyYbQTJNP+3festCAkpltNWrVqVO+64g8WLF/N///d/ueYpnThxgoiICAYPHmxPXr788stcz//yyy9zle25ubnRu3dvevfuzejRo2nUqBGHDh2iefPmZGVlcerUKTp27HjVcYaGhhIREcENN9yAg4MDvXr1sh/bs2cPffr04cEHHwQgOzubX375hSZNmtjbODs75xoVKkjjxo3Zs2dPrn179uyhQYMGODo6FjpWLy8vBg4cyMCBA+nfvz/du3fn7Nmz+Pr6FroPERERESkflCgVhbAwuOUWW2IUG2srtxs2rNiSpByLFi2iffv2dOvWjRdeeIE6derw448/8vjjj1OrVi1mzpxpb7tnzx5eeukl+vbty9atW/nggw/4+OOPAduqdVlZWbRt2xZ3d3dWrFiBm5sbQUFBVK1aldDQUAYPHsy8efNo3rw5p0+fZtu2bdx00025Ep+ChIaGMm3aNGbOnEn//v1xcXGxH6tfvz4ffvgh//3vf6lSpQrz58/n5MmTuRKl4OBgvvrqK2JjY/Hw8CgwaZk4cSKtW7dmxowZDBw4kL1797Jo0SIWL15c6Pdy/vz51KxZk+bNm+Pg4MAHH3yAv7+/vUxQRERERCoWld4VlZAQmD0bVq60bYs5SQJbovHtt99St25dBgwYQL169RgxYgS33nore/fuzZVUTJw4kW+//ZbmzZvzwgsvMH/+fLp16waAj48Pb775Jh06dOCmm27i888/5z//+Q9Vq1YFIDw8nMGDBzNx4kQaNmxI3759+eabb6hdu/YVYwwJCaFNmzYcPHgwV9kdwDPPPEOLFi3o1q0bXbp0wd/fn759++ZqM2nSJBwdHWnSpAl+fn4Fzl9q0aIFa9asYdWqVTRt2pRnn32W6dOn51rI4Uo8PT156aWXaNWqFa1btyY2NpbNmzfj4KB/IiIiIiIVkWEWdjWAMuzcuXN4e3uTmJiIl5dXrmOpqanExMRQp04dXF1dLYpQpHzTvzMREREpLS6XG1xMfy4XERERERHJQ4mSiIiIiIhIHkqURERERERE8lCiJCIiIiIikocSJRERERERkTyUKImIiIiIiOShC86WpD//hD/+gKwscHSEWrWgWjWroxIRERERkTyUKJWUn3+GpKT/Pc7OhthYW/LUqJFlYYmIiIiISH4qvSsJf/6ZO0m6WFKS7biIiIiIiJQaSpRKwh9/XN/x6xQcHMyCBQuK9RwlKTIyEsMwSEhIsDoUERERESmnlCgVlehomDIF7r/fto2O/t+xrKzLP/dKxy/j2LFjDB06lICAAJydnQkKCmL8+PGcOXPmmvssTbp06cKECRNy7Wvfvj3x8fF4e3tbE5SIiIiIlHtKlIpCeLhtntHcubBmjW3bqBEsX2477uh4+edf6fgl/Prrr7Rq1Yro6GhWrlzJkSNHWLp0Kdu2baNdu3acPXv2mvq9XllZWWRnZxdb/87Ozvj7+2MYRrGdQ0REREQqNiVK1ys6Gh55xLY4Q1ZW7u2wYXDkiG11u8u50vFLGD16NM7Oznz22Wd07tyZ2rVr06NHDz7//HP++OMPnn76aXvb8+fPc//991O5cmVq1arFv//9b/sx0zSZNm0atWvXxsXFhYCAAMaNG2c/npaWxqRJk6hVqxaVK1embdu2REZG2o8vX74cHx8fNm7cSJMmTXBxcWHZsmW4urrmK48bP348t912GwBnzpzh/vvvp1atWri7u9OsWTNWrlxpbxsWFsaOHTtYuHAhhmFgGAaxsbEFlt6tXbuWG2+8ERcXF4KDg5k3b16u8wYHBzNr1iyGDh2Kp6cntWvX5o033rAfT09PZ8yYMdSsWRNXV1eCgoKYPXv2NX0uIiIiIlL2KVG6Xm+/DZca2TAMeOst2xLgHh4Ft/HwuKYlws+ePcuWLVsYNWoUbm5uuY75+/sTGhrK6tWrMU0TgLlz53LzzTfz/fffM3nyZMaPH8/WrVsBW5Lxyiuv8PrrrxMdHc2GDRto1qyZvb8xY8awd+9eVq1axcGDB7nvvvvo3r070ReVF164cIE5c+awbNkyfvzxR0JDQ/Hx8WHt2rX2NllZWaxevZrQ0FAAUlNTadmyJR9//DE//PADI0aM4KGHHuLrr78GYOHChbRr147hw4cTHx9PfHw8gYGB+d6Lffv2MWDAAAYNGsShQ4eYNm0aU6dOZXnOiN7f5s2bR6tWrfj+++8ZNWoUI0eO5PDhwwC8+uqrbNy4kTVr1nD48GEiIiIIDg6+6s9FRERERMoHLQ9+vWJj4e9kJB/TtB0HWyleEV5HKTo6GtM0ady4cYHHGzduzF9//cXp06cB6NChA5MnTwagQYMG7Nmzh1deeYU77riDuLg4/P396dq1K5UqVaJ27dq0adMGgLi4OMLDw4mLiyMgIACASZMm8emnnxIeHs6sWbMAyMjIYPHixdx88832GAYNGsT777/PsGHDANi2bRsJCQnce++9ANSqVYtJkybZ248dO5YtW7awZs0a2rRpg7e3N87Ozri7u+Pv73/J92L+/PncfvvtTJ061f76fvrpJ+bOnUtYWJi9Xc+ePRk1ahQATz75JK+88grbt2+nYcOGxMXFUb9+fW655RYMwyAoKKiQn4SIiIiIlEcaUbpewcGXH1G6eFSiWjW4+WZo0cK2LYKLzZqXStLyaNeuXb7HUVFRANx3332kpKRQt25dhg8fzvr168nMzATg0KFDZGVl0aBBAzw8POy3HTt2cPToUXt/zs7O3HTTTbnOERoaSmRkJMePHwcgIiKCXr164ePjA9hGmGbMmEGzZs3w9fXFw8ODLVu2EBcXd1XvQVRUFB06dMi1r0OHDkRHR5N10UIZF8dnGAb+/v6cOnUKsJX57d+/n4YNGzJu3Dg+++yzq4pBRERERMoXJUrXa+jQy48o/T2aUtRCQkIwDMOe7OQVFRVFlSpV8PPzu2JfgYGBHD58mMWLF+Pm5saoUaPo1KkTGRkZJCUl4ejoyL59+9i/f7/9FhUVxcKFC+19uLm55VtcoXXr1tSrV49Vq1aRkpLC+vXr7WV3YCsHXLhwIU8++STbt29n//79dOvWjfT09Gt8Vy6vUqVKuR4bhmFfdKJFixbExMQwY8YMUlJSGDBgAP379y+WOERERESk9FPp3fWqX982D2nYMNsIkmn+b/vWWxASUiynrVq1KnfccQeLFy/m//7v/3LNUzpx4gQREREMHjzYnrx8+eWXuZ7/5Zdf5irbc3Nzo3fv3vTu3ZvRo0fTqFEjDh06RPPmzcnKyuLUqVN07NjxquMMDQ0lIiKCG264AQcHB3r16mU/tmfPHvr06cODDz4IQHZ2Nr/88gtNmjSxt3F2ds41KlSQxo0bs2fPnlz79uzZQ4MGDXC8ihUFvby8GDhwIAMHDqR///50796ds2fP4uvrW+g+RERERKR8UKJUFMLC4JZbbIlRbKyt3G7YsGJLknIsWrSI9u3b061bN1544QXq1KnDjz/+yOOPP06tWrWYOXOmve2ePXt46aWX6Nu3L1u3buWDDz7g448/Bmyr1mVlZdG2bVvc3d1ZsWIFbm5uBAUFUbVqVUJDQxk8eDDz5s2jefPmnD59mm3btnHTTTflSnwKEhoayrRp05g5cyb9+/fHxcXFfqx+/fp8+OGH/Pe//6VKlSrMnz+fkydP5kqUgoOD+eqrr4iNjcXDw6PApGXixIm0bt2aGTNmMHDgQPbu3cuiRYtYvHhxod/L+fPnU7NmTZo3b46DgwMffPAB/v7+9jJBEREREalYVHpXVEJCYPZsWLnSti3mJAlsica3335L3bp1GTBgAPXq1WPEiBHceuut7N27N1dSMXHiRL799luaN2/OCy+8wPz58+nWrRsAPj4+vPnmm3To0IGbbrqJzz//nP/85z9UrVoVgPDwcAYPHszEiRNp2LAhffv25ZtvvqF27dpXjDEkJIQ2bdpw8ODBXGV3AM888wwtWrSgW7dudOnSBX9/f/r27ZurzaRJk3B0dKRJkyb4+fkVOH+pRYsWrFmzhlWrVtG0aVOeffZZpk+fnmshhyvx9PTkpZdeolWrVrRu3ZrY2Fg2b96Mg4P+iYiIiIhURIZZ2NUAyrBz587h7e1NYmIiXl5euY6lpqYSExNDnTp1cHV1tShCkfJN/85ERESktLhcbnAx/blcREREREQkDyVKIiIiIiIieShREhERERERyUOJkoiIiIiISB5KlERERERERPJQoiQiIiIiIpKHEiUREREREZE8lCiJiIiIiIjkoURJREREREQkDyVKFUBwcDALFiywOowiExkZiWEYJCQkWB2KiIiIiJRTSpSKSnQ0TJkC999v20ZHl8hpjx07xtChQwkICMDZ2ZmgoCDGjx/PmTNnSuT8xa1Lly5MmDAh17727dsTHx+Pt7e3NUGJiIiISLmnRKkohIdDo0Ywdy6sWWPbNmoEy5cX62l//fVXWrVqRXR0NCtXruTIkSMsXbqUbdu20a5dO86ePVus57+UrKwssrOzi61/Z2dn/P39MQyj2M4hIiIiIhWbEqXrFR0NjzwC2dmQlZV7O2wYHDlSbKcePXo0zs7OfPbZZ3Tu3JnatWvTo0cPPv/8c/744w+efvppe9vz589z//33U7lyZWrVqsW///1v+zHTNJk2bRq1a9fGxcWFgIAAxo0bZz+elpbGpEmTqFWrFpUrV6Zt27ZERkbajy9fvhwfHx82btxIkyZNcHFxYdmyZbi6uuYrjxs/fjy33XYbAGfOnOH++++nVq1auLu706xZM1auXGlvGxYWxo4dO1i4cCGGYWAYBrGxsQWW3q1du5Ybb7wRFxcXgoODmTdvXq7zBgcHM2vWLIYOHYqnpye1a9fmjTfesB9PT09nzJgx1KxZE1dXV4KCgpg9e/Y1fS4iIiIiUvYpUbpeb78NlxrZMAx4661iOe3Zs2fZsmULo0aNws3NLdcxf39/QkNDWb16NaZpAjB37lxuvvlmvv/+eyZPnsz48ePZunUrYEsyXnnlFV5//XWio6PZsGEDzZo1s/c3ZswY9u7dy6pVqzh48CD33Xcf3bt3J/qi8sILFy4wZ84cli1bxo8//khoaCg+Pj6sXbvW3iYrK4vVq1cTGhoKQGpqKi1btuTjjz/mhx9+YMSIETz00EN8/fXXACxcuJB27doxfPhw4uPjiY+PJzAwMN97sW/fPgYMGMCgQYM4dOgQ06ZNY+rUqSzPM6I3b948WrVqxffff8+oUaMYOXIkhw8fBuDVV19l48aNrFmzhsOHDxMREUFwcPA1fjoiIiIiUtY5WR1AmRcbC38nI/mYpu14MYiOjsY0TRo3blzg8caNG/PXX39x+vRpADp06MDkyZMBaNCgAXv27OGVV17hjjvuIC4uDn9/f7p27UqlSpWoXbs2bdq0ASAuLo7w8HDi4uIICAgAYNKkSXz66aeEh4cza9YsADIyMli8eDE333yzPYZBgwbx/vvvM2zYMAC2bdtGQkIC9957LwC1atVi0qRJ9vZjx45ly5YtrFmzhjZt2uDt7Y2zszPu7u74+/tf8r2YP38+t99+O1OnTrW/vp9++om5c+cSFhZmb9ezZ09GjRoFwJNPPskrr7zC9u3badiwIXFxcdSvX59bbrkFwzAICgoq5CchIiIiIuWRRpSuV3Dw5UeUinlUwrxUkpZHu3bt8j2OiooC4L777iMlJYW6desyfPhw1q9fT2ZmJgCHDh0iKyuLBg0a4OHhYb/t2LGDo0eP2vtzdnbmpptuynWO0NBQIiMjOX78OAARERH06tULHx8fwDbCNGPGDJo1a4avry8eHh5s2bKFuLi4q3oPoqKi6NChQ659HTp0IDo6mqysLPu+i+MzDAN/f39OnToF2Mr89u/fT8OGDRk3bhyfffbZVcUgIiIiIuWLEqXrNXTo5UeU/h5NKWohISEYhmFPdvKKioqiSpUq+Pn5XbGvwMBADh8+zOLFi3Fzc2PUqFF06tSJjIwMkpKScHR0ZN++fezfv99+i4qKYuHChfY+3Nzc8i2u0Lp1a+rVq8eqVatISUlh/fr19rI7sJUDLly4kCeffJLt27ezf/9+unXrRnp6+jW+K5dXqVKlXI8Nw7AvOtGiRQtiYmKYMWMGKSkpDBgwgP79+xdLHCIiIiJS+qn07nrVr2+bhzRsmG0EyTT/t33rLQgJKZbTVq1alTvuuIPFixfzf//3f7nmKZ04cYKIiAgGDx5sT16+/PLLXM//8ssvc5Xtubm50bt3b3r37s3o0aNp1KgRhw4donnz5mRlZXHq1Ck6dux41XGGhoYSERHBDTfcgIODA7169bIf27NnD3369OHBBx8EIDs7m19++YUmTZrY2zg7O+caFSpI48aN2bNnT659e/bsoUGDBjg6OhY6Vi8vLwYOHMjAgQPp378/3bt35+zZs/j6+ha6DxEREREpH5QoFYWwMLjlFltiFBtrK7cbNqzYkqQcixYton379nTr1o0XXniBOnXq8OOPP/L4449Tq1YtZs6caW+7Z88eXnrpJfr27cvWrVv54IMP+PjjjwHbqnVZWVm0bdsWd3d3VqxYgZubG0FBQVStWpXQ0FAGDx7MvHnzaN68OadPn2bbtm3cdNNNuRKfgoSGhjJt2jRmzpxJ//79cXFxsR+rX78+H374If/973+pUqUK8+fP5+TJk7kSpeDgYL766itiY2Px8PAoMGmZOHEirVu3ZsaMGQwcOJC9e/eyaNEiFi9eXOj3cv78+dSsWZPmzZvj4ODABx98gL+/v71MUEREREQqFstL72bPnk3r1q3x9PSkevXq9O3b174SWY4uXbrYl4fOuf3rX/+yKOJLCAmB2bNh5UrbtpiTJLAlGt9++y1169ZlwIAB1KtXjxEjRnDrrbeyd+/eXEnFxIkT+fbbb2nevDkvvPAC8+fPp1u3bgD4+Pjw5ptv0qFDB2666SY+//xz/vOf/1C1alUAwsPDGTx4MBMnTqRhw4b07duXb775htq1a18xxpCQENq0acPBgwdzld0BPPPMM7Ro0YJu3brRpUsX/P396du3b642kyZNwtHRkSZNmuDn51fg/KUWLVqwZs0aVq1aRdOmTXn22WeZPn16roUcrsTT05OXXnqJVq1a0bp1a2JjY9m8eTMODpb/ExERERERCxhmYVcDKCbdu3dn0KBBtG7dmszMTJ566il++OEHfvrpJypXrgzYEqUGDRowffp0+/Pc3d3x8vIq1DnOnTuHt7c3iYmJ+Z6TmppKTEwMderUwdXVtehemIjY6d+ZiIiIlBaXyw0uZnnp3aeffprr8fLly6levTr79u2jU6dO9v1XWiJaRERERESkqJS6uqLExESAfHNRIiIiqFatGk2bNmXKlClcuHDhkn2kpaVx7ty5XDcREREREZHCsnxE6WLZ2dlMmDCBDh060LRpU/v+Bx54gKCgIAICAjh48CBPPvkkhw8fZt26dQX2M3v2bJ5//vmSCltERERERMoZy+coXWzkyJF88skn7N69mxtuuOGS7b744gtuv/12jhw5Qr169fIdT0tLIy0tzf743LlzBAYGao6SiEX070xERERKizIzRynHmDFj2LRpEzt37rxskgTQtm1bgEsmSi4uLrmWoRYREREREbkalidKpmkyduxY1q9fT2RkJHXq1Lnic/bv3w9AzZo1izk6ERERERGpiCxPlEaPHs3777/PRx99hKenJydOnADA29sbNzc3jh49yvvvv0/Pnj2pWrUqBw8e5P/+7//o1KkTN910k8XRi4iIiIhIeWR5orRkyRLAdq2ki4WHhxMWFoazszOff/45CxYsIDk5mcDAQO69916eeeYZC6IVEREREZGKwPJE6UprSQQGBrJjx44SikYKEhYWRkJCAhs2bABsSe0//vEPFixYcM19FkUfIiIiIiLFpdRdR0kKLywsDMMwMAwDZ2dnQkJCmD59OpmZmcV63nXr1jFjxoxCtY2MjMQwDBISEq65DxERERGRkmb5iJJcn+7duxMeHk5aWhqbN29m9OjRVKpUiSlTpuRql56ejrOzc5GcM+/FgK3qQ0RERESkuGhEqYxzcXHB39+foKAgRo4cSdeuXdm4cSNhYWH07duXmTNnEhAQQMOGDQE4duwYAwYMwMfHB19fX/r06UNsbKy9v6ysLB577DF8fHyoWrUqTzzxRL7yyC5dujBhwgT747S0NJ588kkCAwNxcXEhJCSEt956i9jYWG699VYAqlSpgmEYhIWFFdjHX3/9xeDBg6lSpQru7u706NGD6Oho+/Hly5fj4+PDli1baNy4MR4eHnTv3p34+PiifUNFRERERFCilI9pQnKyNbeiuPSvm5sb6enpAGzbto3Dhw+zdetWNm3aREZGBt26dcPT05Ndu3axZ88ee8KR85x58+axfPly3n77bXbv3s3Zs2dZv379Zc85ePBgVq5cyauvvkpUVBSvv/46Hh4eBAYGsnbtWgAOHz5MfHw8CxcuLLCPsLAwvv32WzZu3MjevXsxTZOePXuSkZFhb3PhwgVefvll3nvvPXbu3ElcXByTJk26/jdNRERERCQPld7lceECeHhYc+6kJKhc+dqea5om27ZtY8uWLYwdO5bTp09TuXJlli1bZi+5W7FiBdnZ2SxbtgzDMADb6oI+Pj5ERkZy5513smDBAqZMmUK/fv0AWLp0KVu2bLnkeX/55RfWrFnD1q1b6dq1KwB169a1H88psatevTo+Pj4F9hEdHc3GjRvZs2cP7du3ByAiIoLAwEA2bNjAfffdB0BGRgZLly61X2R4zJgxTJ8+/dreMBERERGRy1CiVMZt2rQJDw8PMjIyyM7O5oEHHmDatGmMHj2aZs2a5ZqXdODAAY4cOYKnp2euPlJTUzl69CiJiYnEx8fTtm1b+zEnJydatWp1ydUJ9+/fj6OjI507d77m1xAVFYWTk1Ou81atWpWGDRsSFRVl3+fu7m5PksB2weFTp05d83lFRERERC5FiVIe7u62kR2rzn21br31VpYsWYKzszMBAQE4Of3vI62cZ3gqKSmJli1bEhERka8fPz+/qz85tlK/klKpUqVcjw3DuOLy8iIiIiIi10KJUh6Gce3lb1aoXLkyISEhhWrbokULVq9eTfXq1fHy8iqwTc2aNfnqq6/o1KkTAJmZmezbt48WLVoU2L5Zs2ZkZ2ezY8cOe+ndxXJGtLKysi4ZV+PGjcnMzOSrr76yl96dOXOGw4cP06RJk0K9NhERERGRoqTFHCqQ0NBQqlWrRp8+fdi1axcxMTFERkYybtw4fv/9dwDGjx/Piy++yIYNG/j5558ZNWpUvmsgXSw4OJghQ4YwdOhQNmzYYO9zzZo1AAQFBWEYBps2beL06dMkFTBcV79+ffr06cPw4cPZvXs3Bw4c4MEHH6RWrVr06dOnWN4LEREREZHLUaJUgbi7u7Nz505q165Nv379aNy4McOGDSM1NdU+wjRx4kQeeughhgwZQrt27fD09OSee+65bL9Lliyhf//+jBo1ikaNGjF8+HCSk5MBqFWrFs8//zyTJ0+mRo0ajBkzpsA+wsPDadmyJXfddRft2rXDNE02b96cr9xORERERKQkGGYFmORx7tw5vL29SUxMzFdylpqaSkxMDHXq1MHV1dWiCEXKN/07ExERkdLicrnBxTSiVILS0+Gnn2DfPsjOtjoaERERERG5FCVKJezCBduFZY8dK/cDeSIiIiIiZZYSpRLk7AyOjrYE6cwZi4MREREREZFLUqJUwqpWNQBb6V16ukaVRERERERKIyVKJeyGGwBMwCAmRhOVRERERERKIyVKJczBASpVso0qJSXp7RcRERERKY30S90CNWvatqYJ589rVElEREREpLRRomSB6tUhp/zut98sDkZERERERPJRomQRNzdb+V1qqmFxJCIiIiIikpcSJYvUrg05o0qnTpXu8ruwsDD69u1rf9ylSxcmTJhwXX0WRR8iIiIiIsVFiZJFPD3B+HswKT7+2voICwvDMAwMw8DZ2ZmQkBCmT59OZmZm0QVagHXr1jFjxoxCtY2MjMQwDBISEq65DxERERGRkuZkdQAVmaenwblzkJFhYJr/S5yuRvfu3QkPDyctLY3NmzczevRoKlWqxJQpU3K1S09Px9nZuUji9vX1LRV9iIiIiIgUF40oWSgoCHLK7+Lirq38zsXFBX9/f4KCghg5ciRdu3Zl48aN9nK5mTNnEhAQQMOGDQE4duwYAwYMwMfHB19fX/r06UNsbKy9v6ysLB577DF8fHyoWrUqTzzxBKaZ+8K4ecvm0tLSePLJJwkMDMTFxYWQkBDeeustYmNjufXWWwGoUqUKhmEQFhZWYB9//fUXgwcPpkqVKri7u9OjRw+io6Ptx5cvX46Pjw9btmyhcePGeHh40L17d+KvdThOREREROQylCjlYZqQnFwyt8xMSEuDlBT4/XfbqNL1cnNzIz09HYBt27Zx+PBhtm7dyqZNm8jIyKBbt254enqya9cu9uzZY084cp4zb948li9fzttvv83u3bs5e/Ys69evv+w5Bw8ezMqVK3n11VeJiori9ddfx8PDg8DAQNauXQvA4cOHiY+PZ+HChQX2ERYWxrfffsvGjRvZu3cvpmnSs2dPMjIy7G0uXLjAyy+/zHvvvcfOnTuJi4tj0qRJ1/+miYiIiIjkodK7PC5cAA+PkjyjYd/+9ZeJj8+1rYJnmibbtm1jy5YtjB07ltOnT1O5cmWWLVtmL7lbsWIF2dnZLFu2DOPvOr/w8HB8fHyIjIzkzjvvZMGCBUyZMoV+/foBsHTpUrZs2XLJ8/7yyy+sWbOGrVu30rVrVwDq1q1rP55TYle9enV8fHwK7CM6OpqNGzeyZ88e2rdvD0BERASBgYFs2LCB++67D4CMjAyWLl1KvXr1ABgzZgzTp0+/pvdLRERERORyNKJUisTGXv2Q0qZNm/Dw8MDV1ZUePXowcOBApk2bBkCzZs1yzUs6cOAAR44cwdPTEw8PDzw8PPD19SU1NZWjR4+SmJhIfHw8bdu2tT/HycmJVq1aXfL8+/fvx9HRkc6dO1917DmioqJwcnLKdd6qVavSsGFDoqKi7Pvc3d3tSRJAzZo1OXXq1DWfV0RERETkUjSilIe7OyQllew5Dx2CjAzIzLz60aRbb72VJUuW4OzsTEBAAE5O//tIK1eunKttUlISLVu2JCIiIl8/fn5+Vx84tlK/klKpUqVcjw3DyDd/SkRERESkKChRysMwIE9+UeyCg+H33233k5JMPDwKnzBVrlyZkJCQQrVt0aIFq1evpnr16nh5eRXYpmbNmnz11Vd06tQJgMzMTPbt20eLFi0KbN+sWTOys7PZsWOHvfTuYjkjWllZWZeMq3HjxmRmZvLVV1/ZS+/OnDnD4cOHadKkSaFem4iIiIhIUVLpXSng7w85q9/99lvxjZCEhoZSrVo1+vTpw65du4iJiSEyMpJx48bx+9+Z2vjx43nxxRfZsGEDP//8M6NGjcp3DaSLBQcHM2TIEIYOHcqGDRvsfa5ZswaAoKAgDMNg06ZNnD59mqQChuvq169Pnz59GD58OLt37+bAgQM8+OCD1KpViz59+hTLeyEiIiIicjlKlEoJV1fbKFJKyrUt5lAY7u7u7Ny5k9q1a9OvXz8aN27MsGHDSE1NtY8wTZw4kYceeoghQ4bQrl07PD09ueeeey7b75IlS+jfvz+jRo2iUaNGDB8+nOTkZABq1arF888/z+TJk6lRowZjxowpsI/w8HBatmzJXXfdRbt27TBNk82bN+crtxMRERERKQmGWQEmeZw7dw5vb28SExPzlZylpqYSExNDnTp1cHV1tShCSEyE6GjbqFJwcDbVqimHlfKjtPw7ExEREblcbnAx/RovJby9bfOjAP74w9pYREREREQqOiVKpUjOIg4ZGUVz8VkREREREbk2SpRKkaAgyFnU4fffsy2ORkRERESk4lKiVIq4uoLD35/In39aG4uIiIiISEWmRKmUqVLFVn6XlWWQman6OxERERERKyhRKmVq14ac8ruYGJXfiYiIiIhYQYlSKePoCE5OtlGlc+f08YiIiIiIWEG/xEuhGjVsW9OECxdUficiIiIiUtKUKJVC/v6QU34XG6tESURERESkpClRKoUMA1xcbOV3Fy4YFkcDYWFh9O3b1/64S5cuTJgw4br6LIo+RERERESKixKlUiowEHJGlc6eLXhRh7CwMAzDwDAMnJ2dCQkJYfr06WRmZhZrbOvWrWPGjBmFahsZGYlhGCQkJFxzHyIiIiIiJc3J6gCkYD4+tpEl04Tffwdf34Lbde/enfDwcNLS0ti8eTOjR4+mUqVKTJkyJVe79PR0nJ2diyQ230sFU8J9iIiIiIgUF40olWKVK9vK7tLTDcxLTFVycXHB39+foKAgRo4cSdeuXdm4caO9XG7mzJkEBATQsGFDAI4dO8aAAQPw8fHB19eXPn36EBsba+8vKyuLxx57DB8fH6pWrcoTTzyBmefkecvm0tLSePLJJwkMDMTFxYWQkBDeeustYmNjufXWWwGoUqUKhmEQFhZWYB9//fUXgwcPpkqVKri7u9OjRw+io6Ptx5cvX46Pjw9btmyhcePGeHh40L17d+Lj46/x3RURERERuTQlSnmYJiQnW3PLmwwFBUFO+d3x44W7ppKbmxvp6ekAbNu2jcOHD7N161Y2bdpERkYG3bp1w9PTk127drFnzx57wpHznHnz5rF8+XLefvttdu/ezdmzZ1m/fv1lzzl48GBWrlzJq6++SlRUFK+//joeHh4EBgaydu1aAA4fPkx8fDwLFy4ssI+wsDC+/fZbNm7cyN69ezFNk549e5KRkWFvc+HCBV5++WXee+89du7cSVxcHJMmTSrU+yIiIiIicjVUepfHhQvg4WHNuZOSoHLl/z12cwMHB8jOhlOnoFatSz/XNE22bdvGli1bGDt2LKdPn6Zy5cosW7bMXnK3YsUKsrOzWbZsGYZhG60KDw/Hx8eHyMhI7rzzThYsWMCUKVPo168fAEuXLmXLli2XPO8vv/zCmjVr2Lp1K127dgWgbt269uM5JXbVq1fHx8enwD6io6PZuHEje/bsoX379gBEREQQGBjIhg0buO+++wDIyMhg6dKl1KtXD4AxY8Ywffr0S78pIiIiIiLXSCNKpZyPjy2hycoyyMrKf3zTpk14eHjg6upKjx49GDhwINOmTQOgWbNmueYlHThwgCNHjuDp6YmHhwceHh74+vqSmprK0aNHSUxMJD4+nrZt29qf4+TkRKtWrS4Z3/79+3F0dKRz587X/BqjoqJwcnLKdd6qVavSsGFDoqKi7Pvc3d3tSRJAzZo1OXXq1DWfV0RERETkUjSilIe7u21kx6pz51W7Npw9m3NNpSzq1XPMdfzWW29lyZIlODs7ExAQgJPT/z7SyhcPTwFJSUm0bNmSiIiIfOfx8/O7ppjd3Nyu6XnXolKlSrkeG4aRb/6UiIiIiEhRUKKUh2HkLn+zmpOT7ZaZCQkJ+QcAK1euTEhISKH6atGiBatXr6Z69ep4eXkV2KZmzZp89dVXdOrUCYDMzEz27dtHixYtCmzfrFkzsrOz2bFjh7307mI5I1pZBQ2H/a1x48ZkZmby1Vdf2Uvvzpw5w+HDh2nSpEmhXpuIiIiISFFS6V0Z4OdnK78zTUhJufYRlNDQUKpVq0afPn3YtWsXMTExREZGMm7cOH7//XcAxo8fz4svvsiGDRv4+eefGTVqVL5rIF0sODiYIUOGMHToUDZs2GDvc82aNQAEBQVhGAabNm3i9OnTJBUwXFe/fn369OnD8OHD2b17NwcOHODBBx+kVq1a9OnT55pfr4iIiIjItVKiVAYEBEDO6nexsdeeKLm7u7Nz505q165Nv379aNy4McOGDSM1NdU+wjRx4kQeeughhgwZQrt27fD09OSee+65bL9Lliyhf//+jBo1ikaNGjF8+HCSk5MBqFWrFs8//zyTJ0+mRo0ajBkzpsA+wsPDadmyJXfddRft2rXDNE02b96cr9xORERERKQkGGYFmORx7tw5vL29SUxMzFdylpqaSkxMDHXq1MHV1dWiCK/s0CFISwMwadXKsDockatSVv6diYiISPl3udzgYhpRKiMuXho8IaFw11QSEREREZFro0SpjLBdjshWfnfsmMXBiIiIiIiUc0qUypDKlW0ld2lpKr0TERERESlOSpTKkKAgyBlVOn5c5XciIiIiIsVFiVIZ4u5uu84TwKlT1sYiIiIiIlKeKVEqY3x8bJlSZqZBtgaVRERERESKhRKlMubi8rvY2CyLoxERERERKZ+UKJUxTk7g6Gi7n5Cgj09EREREpDjol3YZ5OdnK7/Lzoa0tHJ/vWARERERkRKnROkS0tPTuXDhQond0tPTCx2b7eKztvK7mJiKkSiZpsmIESPw9fXFMAz2799Ply5dmDBhwmWfFxwczIIFC0okxmsVGRmJYRgkJCRYHcp1MQyDDRs2WB2GiIiISJFwsjqA0ig9PZ2vv/6apKSkEjunh4cHbdq0wdnZ+YptDQMyMpJ49dWpREauJyHhFM2bN2fhwoW0bt3a3i4sLIx33nkn13O7devGp59+CkBaWhqPPPIIH330Ef7+/ixevJiuXbva286dO5e4uDhee+21InqV1+7TTz9l+fLlREZGUrduXapVq8a6deuoVKmS1aFdt/bt2xMfH4+3t3ehnxMWFkZCQoISExEREZFiokSpAJmZmSQlJeHs7IyLi0uxny8tLY2kpCQyMzMLlSgBzJnzCAcP/sDzz79L69Y1+eij9+natSs//fQTtWxDTgB0796d8PBw++OLX88bb7zBvn372Lt3L5988gkPPPAAJ0+exDAMYmJiePPNN/n222+L7oVeh6NHj1KzZk3at29v3+fr62thREXH2dkZf39/S86dnp5e6O+ciIiISEWi0rvLcHFxwdXVtdhvV5uMpaSksGnTWsaNm0OLFp1xcgph2rRphISEsGTJknyvwd/f336rUqWK/VhUVBR33303N954I6NHj+b06dP8+eefAIwcOZI5c+bg5eVVqJjefvttbrzxRlxcXKhZsyZjxoyxH4uLi6NPnz54eHjg5eXFgAEDOHnypP34tGnT+Mc//sF7771HcHAw3t7eDBo0iPPnzwO20ZOxY8cSFxeHYRgEBwcD5Cu9O3XqFL1798bNzY06deoQERGRL86EhAQeeeQR/Pz88PLy4rbbbuPAgQOFjgUgOzubl156iZCQEFxcXKhduzYzZ860Hz927BgDBgzAx8cHX19f+vTpQ2xs7CXfu7yld8uXL8fHx4ctW7bQuHFjPDw86N69O/Hx8fYY33nnHT766CMMw8AwDCIjIwt17rCwMPr27cvMmTMJCAigYcOGPPXUU7Rt2zZfXDfffDPTp08H4JtvvuGOO+6gWrVqeHt707lzZ7777rtLviYRERGRsk6JUhmUmZlJVlYWXl5uAKSl2RZ3cHNzY/fu3bnaRkZGUr16dRo2bMjIkSM5c+aM/djNN9/M7t27SUlJYcuWLdSsWZNq1aoRERGBq6sr99xzT6HiWbJkCaNHj2bEiBEcOnSIjRs3EhISAtiSij59+nD27Fl27NjB1q1b+fXXXxk4cGCuPo4ePcqGDRvYtGkTmzZtYseOHbz44osALFy4kOnTp3PDDTcQHx/PN998U2AcYWFhHDt2jO3bt/Phhx+yePFiTuW5Mu99993HqVOn+OSTT9i3bx8tWrTg9ttv5+zZs4WKBWDKlCm8+OKLTJ06lZ9++on333+fGjVqAJCRkUG3bt3w9PRk165d7Nmzx57oXM08tAsXLvDyyy/z3nvvsXPnTuLi4pg0aRIAkyZNYsCAAfbkKT4+nvbt2xf63Nu2bePw4cNs3bqVTZs2ERoaytdff83Ro0ftbX788UcOHjzIAw88AMD58+cZMmQIu3fv5ssvv6R+/fr07NkzVwIpIiIiUp6o9K4M8vT0pF27doSHz+Cppxrh6+vPokUR7N27156ggK3srl+/ftSpU4ejR4/y1FNP0aNHD/bu3YujoyNDhw7l4MGDNGnShGrVqrFmzRr++usvnn32WSIjI3nmmWdYtWoV9erV4+23385V0nexF154gYkTJzJ+/Hj7vpy5Utu2bePQoUPExMQQGBgIwLvvvsuNN97IN998Y2+XnZ3N8uXL8fT0BOChhx5i27ZtzJw5E29vbzw9PXF0dLxkidovv/zCJ598wtdff23v86233qJx48b2Nrt37+brr7/m1KlT9lG8l19+mQ0bNvDhhx8yYsSIK8Zy/vx5Fi5cyKJFixgyZAgA9erV45ZbbgFg9erVZGdns2zZMgzDlsCGh4fj4+NDZGQkd955Z6E+44yMDJYuXUq9evUAGDNmjH10x8PDAzc3N9LS0nK9HytWrCjUuStXrsyyZctyldzdfPPNvP/++0ydOhWAiIgI2rZta/8+3Xbbbbnie+ONN/Dx8WHHjh3cddddhXpNIiIiImWJEqUy6r333mPo0KH07HkDjo6ONGrUgvvvv599+/bZ2wwaNMh+v1mzZtx0003Uq1ePyMhIbr/9dipVqsS///3vXP0+/PDDjBs3ju+//54NGzZw4MABXnrpJcaNG8fatWvzxXHq1CmOHz/O7bffXmCcUVFRBAYG2pMkgCZNmuDj40NUVJQ9qQkODrYnJgA1a9bMNxp0OVFRUTg5OdGyZUv7vkaNGuHj42N/fODAAZKSkqhatWqu56akpOQaTblcLFFRUaSlpV3y9R44cIAjR47kej5AampqrnNcibu7uz1JyhvDpRT23M2aNcs3Lyk0NJS3336bqVOnYpomK1eu5LHHHrMfP3nyJM888wyRkZGcOnWKrKwsLly4QFxcXKFfk4iIiEhZokSpjKpXrx47duzg4MFkjh8/R7Vq/rz00iDq1q17yefkrBZ35MiRAn/ob9++nR9//JFly5bx+OOP07NnTypXrsyAAQNYtGhRgX26ubkVyevJu3qdYRhkZ2cXSd85kpKSqFmzpn0+z8UuTqguF8uVXm9SUhItW7YscH6Un59foWMtKAbTvPxS8IU9d+XKlfMdv//++3nyySf57rvvSElJ4dixY7nKI4cMGcKZM2dYuHAhQUFBuLi40K5du6sqJxQREREpS5QolXGNG1cmPd2dc+cS+PTTLbz88kuXbPv7779z5swZatasme9Yamoqo0ePJiIiAkdHR7Kysuw/zDMyMsjKyiqwT09PT4KDg9m2bRu33nprAfE15tixYxw7dsw+qvTTTz+RkJBAkyZNruUlF6hRo0ZkZmayb98++yjV4cOHc12bqEWLFpw4cQInJyf7ghBXq379+ri5ubFt2zYeeeSRfMdbtGjB6tWrqV69eqEXwrgWzs7O+T6T6zn3DTfcQOfOnYmIiCAlJYU77riD6tWr24/v2bOHxYsX07NnT8C2aETOwh8iIiIi5ZEWcyijtmzZwqeffsrvv8fwzTdb+de/biUoqBEPP/wwYBtdePzxx/nyyy+JjY1l27Zt9OnTh5CQELp165avvxkzZtCzZ0+aN28OQIcOHVi3bh0HDx5k0aJFdOjQ4ZKxTJs2jXnz5vHqq68SHR3Nd999Z7/2UteuXWnWrBmhoaF89913fP311wwePJjOnTvTqlWrIns/GjZsSPfu3Xn00Uf56quv2LdvH4888kiuEaCuXbvSrl07+vbty2effUZsbCz//e9/efrppwu9DLqrqytPPvkkTzzxBO+++y5Hjx7lyy+/5K233gJsJWzVqlWjT58+7Nq1i5iYGCIjIxk3bhy///57kb3e4OBgDh48yOHDh/nzzz/JyMi47nOHhoayatUqPvjgA0JDQ3Mdq1+/Pu+99x5RUVF89dVXhIaGFtloooiIiEhppETpMtLS0khNTS32W1pa2lXHlpiYyOjRo2nUqBHPPTeEf/zjFl577VNM0zZI6OjoyMGDB7n77rtp0KABw4YNo2XLluzatSvfcuQ//PADa9as4fnnn7fv69+/P7169aJjx44cPHiQhQsXXjKWIUOGsGDBAhYvXsyNN97IXXfdRXR0NGArGfvoo4+oUqUKnTp1omvXrtStW5fVq1df9Wu+kvDwcAICAujcuTP9+vVjxIgRuUZFDMNg8+bNdOrUiYcffpgGDRowaNAgfvvtN/uqdYUxdepUJk6cyLPPPkvjxo0ZOHCgff6Qu7s7O3fupHbt2vTr14/GjRszbNgwUlNTi3SEafjw4TRs2JBWrVrh5+fHnj17rvvc/fv358yZM1y4cIG+ffvmOvbWW2/x119/0aJFCx566CHGjRuX670VERERKW8M80oTH8qBc+fO4e3tTWJiYr4fjKmpqcTExFCnTh1cXV0B20U4v/76a5KSkkosRg8PD9q0aXNNF//MzobvvjMBA0/PLBo2dCz6AEWuQ0H/zkRERESscLnc4GKao1QAZ2dn2rRpQ2ZmZomd08nJ6ZqSJAAHB3B2NkhPh6QkDRKKiIiIiFwvJUqX4OzsfM2JixVq1oTffgPThPPns/H0VMIkIiIiInKt9Gu6nLCt/mwrv/vtN4uDEREREREp45QolSNubgYAqamGxZGIiIiIiJRtSpTKkdq1IWdU6dSpor1Yq4iIiIhIRaJE6W/Z2WU/sfD0BOPvwaT4eGtjEblYBVhcU0RERMqZCr+Yg7OzMw4ODhw/fhw/Pz+cnZ0xjLJbuubuDsnJkJFhcuGCgYNSYbGYaZqcPn0awzCoVKmS1eGIiIiIFEqFT5QcHByoU6cO8fHxHD9+3OpwrltmJvz5p+3+d99lU7WqMiWxnmEY3HDDDTg66hpfIiIiUjZU+EQJbKNKtWvXJjMzk6ysLKvDuW6DBpkkJxtUrpzJvn36iMV6lSpVUpIkIiIiZYp+Rf8tpyyoPJQGde4MS5YAmPz1F9SsWXZLCUVERERErKC6rHJowQLIWf1uyJBUa4MRERERESmDlCiVQ87O/xtF2rHDxeJoRERERETKHiVK5dSUKbZterrBf/+bYW0wIiIiIiJljBKlcmrsWDAMW/ndo4+W/QUqRERERERKkhKlcqxJE1v53U8/qfxORERERORqKFEqx155BcAkO9vg7bfTrA5HRERERKTMUKJUjt1xB+Ssdj51qrWxiIiIiIiUJUqUyrmOHW3ld8ePO1MOrqUrIiIiIlIilCiVc8uWQc41lSZOvGBxNCIiIiIiZYMSpXKuTh3w8LDdDw+vZG0wIiIiIiJlhBKlCmDAAFv53blzTpw5Y1ocjYiIiIhI6adEqQJYtAhyyu+GDEm1OBoRERERkdJPiVIF4OYGNWrYRpU+/1zXVBIRERERuRIlShXEY4/ZtmlpBt9/n2ltMCIiIiIipZwSpQriiSfAMGzldw8/nGF1OCIiIiIipZoSpQqkQQNb+d2hQ64WRyIiIiIiUropUapAXn4ZwCQ72yAiIs3qcERERERESi0lShXIXXeBk5Pt/pQpf+9cvhxq1YLKlW3b5cstik5EREREpPRQolTBtGtnK787dsyZrPYd4eGH4fhxuHDBtn34YejUyeIoRURERESspUSpglm2DHKuqTRj760FN9q1C959twSjEhEREREpXZQoVTANGoC7u+3+vxlz6Yb22jwRERERkYpHiVIF1K+frfzuT/xIxKPgRgkJJReQiIiIiEgpo0SpAlqyBHLK70aytOBGPj4lF5CIiIiISCmjRKkC8vCAah6pAHxE34IbzZ5dcgGJiIiIiJQySpQqqHFPuAFwAXd+okHugx07wuDBFkQlIiIiIlI6KFGqoJ56CnLK70Y4vWNb4SEgAN55B3butDg6ERERERFrOVkdgFjD0RFCQgyOHIEvzTaQnGx1SCIiIiIipYZGlCqwF1+0bbOyDNauTbU2GBERERGRUkSJUgV2773g6Ggrv5s0ybA6HBERERGRUkOJUgXXpo0tQYqNdSYry+JgRERERERKCSVKFdzSpZCzqMPMmSkWRyMiIiIiUjooUargbroJXFxs919/XV8HERERERFQoiRAq1a28rv4eGeLIxERERERKR2UKAnTp9u2pmmwaZPK70RERERElCgJt90GDg4mAFOnmhZHIyIiIiJiPSVKAkBwsK387scfXS2ORERERETEekqUBIBHH7VtMzIM4uK0TriIiIiIVGxKlASAiRMhZ5nwceNSLY5GRERERMRaSpQEAEdHqFLFVn73xRcuFkcjIiIiImItJUpi16uXbXv+vCNZqr4TERERkQpMiZLYzZ0LOeV306YlWxyNiIiIiIh1LE+UZs+eTevWrfH09KR69er07duXw4cP52qTmprK6NGjqVq1Kh4eHtx7772cPHnSoojLL39/cPm76u7tt52sDUZERERExEKWJ0o7duxg9OjRfPnll2zdupWMjAzuvPNOkpP/N6Lxf//3f/znP//hgw8+YMeOHRw/fpx+/fpZGHX51aqVbZ5SfLyzxZGIiIiIiFjHME2zVF1h9PTp01SvXp0dO3bQqVMnEhMT8fPz4/3336d///4A/PzzzzRu3Ji9e/fyz3/+84p9njt3Dm9vbxITE/Hy8irul1CmRUbCrbfa7m/YkEKfPm6WxiMiIiIiUpQKmxtYPqKUV2JiIgC+vr4A7Nu3j4yMDLp27Wpv06hRI2rXrs3evXsL7CMtLY1z587luknhdOkCDg623Pm550pVDi0iIiIiUmJKVaKUnZ3NhAkT6NChA02bNgXgxIkTODs74+Pjk6ttjRo1OHHiRIH9zJ49G29vb/stMDCwuEMvV4KDbeV3P/3kanEkIiIiIiLWKFWJ0ujRo/nhhx9YtWrVdfUzZcoUEhMT7bdjx44VUYQVw6OP2rYZGQZxcVonXEREREQqnlKTKI0ZM4ZNmzaxfft2brjhBvt+f39/0tPTSUhIyNX+5MmT+Pv7F9iXi4sLXl5euW5SeBMnQs4y4ePGpVocjYiIiIhIybM8UTJNkzFjxrB+/Xq++OIL6tSpk+t4y5YtqVSpEtu2bbPvO3z4MHFxcbRr166kw60QHB3B19dWfvfFFy4WRyMiIiIiUvIsv1jO6NGjef/99/noo4/w9PS0zzvy9vbGzc0Nb29vhg0bxmOPPYavry9eXl6MHTuWdu3aFWrFO7k2d90F774L5887kpVlS55ERERERCoKy5cHNwyjwP3h4eGEhYUBtgvOTpw4kZUrV5KWlka3bt1YvHjxJUvv8tLy4FfvxAmoWdNWfjdlSjKzZlW2OiQRERERketW2NzA8kSpJChRujauriZpaQYBAWn88YdK8ERERESk7Cuz11GS0qNVK9toX3y8s8WRiIiIiIiULCVKckkvvABgYpoGH32UYnU4IiIiIiIlRomSXFKXLuDw9zfkuefKfYWmiIiIiIidEiW5rDp1bOV3P/3kanEkIiIiIiIlR4mSXNaIEbZtRoZBXFyWtcGIiIiIiJQQJUpyWRMnAtiWCR83LtXiaERERERESoYSJbksR0fw9bWV333xhZYIFxEREZGKQYmSXNFdd9m25887kqXqOxERERGpAJQoyRXNmQM55XdTpyZbHI2IiIiIlCnLl0OtWlC5sm27fLnVERWKYZpmuV/3ubBX35VLc3U1SUszqFkzlePHtQKeiIiIiBRCx46we3fB+3fuLPl4KHxuoBElKZRWrWzzlE6c0DwlERERESmE5csLTpIAdu2Cd98t0XCulhIlKZQXXgAwMU2Djz5KsTocERERESntnn768senTCmZOK6REiUplC5dwOHvb8tzz5X7ak0RERERuV4JCdd33GJKlKTQ6tSxld/99JPmKImIiIjIFfj4XN9xiylRkkIbOdK2zcgwiIvTOuEiIiIichkzZ17++OzZJRPHNVKiJIU2YQLkLBM+ZkyqtcGIiIiISOkWFmZb3a4gHTvC4MElGs7VUqIkheboCL6+tvK77du1+p2IiIiIXMHOnfDOOxAQAO7utu0771i2NPjVUKIkV+Wuu2zbpCRHslR9JyIiIiJXMngw/PEHJCfbtqV8JCmHEiW5KnPmQE753dSpyRZHIyIiIiJSPJQoyVXx9weXv6vuli93tDYYEREREZFiokRJrlrr1rZ5SidOaJ6SiIiIiJRPSpTkqs2YAWBimgYffZRidTgiIiIiIkVOiZJctS5dwOHvb86zz5qWxiIiIiIiUhyUKMk1qVPHVn4XFeVqcSQiIiIiIkVPiZJck5EjbduMDIO4OK0TLiIiIiLlixIluSYTJkDOMuFjxqRaG4yIiIiISBFToiTXxNERfH1t5Xfbt2v1OxEREREpX5QoyTW76y7bNinJkSxV34mIiIhIOaJESa7ZnDmQU373zDPJFkcjIiIiIlJ0lCjJNfP3B5e/q+7eecfR2mBERERERIqQEiW5Lq1b2+YpnTiheUoiIiIiUn4oUZLrMnMmgIlpGnz0UYrV4YiIiIiIFAklSnJdOnUCh7+/Rc8+a1objIiIiIhIEVGiJNetTh1b+V1UlKvFkYiIiIiIFA0lSnLdRo60bTMyDGJitE64iIiIiJR9SpTkuk2YADnLhI8fn2ptMCIiIiIiRUCJklw3R0fw9bWV323frtXvRERERKTsU6IkRaJ3b9s2KcmRLFXfiYiIiEgZp0RJisTcuZBTfvfMM8kWRyMiIiIicn2UKEmR8PMDl7+r7pYvd7I2GBEREREpNc6ehb594cQJqyO5OkqUpMi0bm2bp3TypLPFkYiIiIhIaTFiBHz0EQQEmGVqioYSJSkyM2cCmJimwfr1KVaHIyIiIiKlwMcf27ZVqmTi6GhtLFdDiZIUmU6dwOHvb9S0aaa1wYiIiIiI5Q4ehNRU2+/C++8vW7V3SpSkSNWtayu/i4pytTgSEREREbHayJEABmAyfbqXxdFcHSVKUqRs/xggI8MgJqYMFaGKiIiISJH7+mvbtnbtNHx9va0N5iopUZIiNX485CwTPm5cqsXRiIiIiIhVNm6EzExb2d3EiSctjubqKVGSIuXoCL6+tvK7yEgXi6MREREREas88QSAgYODyYgRNawO56opUZIi17u3bZuU5Eh6urWxiIiIiIg1fvnFtm3SJBlX17I3f12JkhS5uXMhp/zuueeSLY5GREREREravHlgmgAms2b9ZXU418QwTbPcr+N87tw5vL29SUxMxMurbK22UVa5uZmkphr4+6cRH68SPBEREZGKpGZNOHECnJ2zSU7OxsnJyeqQ7AqbG2hESYpF69a2eUonTzpbHImIiIiIlKSUFFuSBNC+fWKpSpKuhhIlKRYvvABgYpoG69enWB2OiIiIiJSQiRNz7pksWHDBylCui0rvpNg4OppkZxs0a5bCwYNuVocjIiIiIiXA2xvOnQMPj0zOnXPEMAyrQ8pFpXdiubp1bf8ofv5Zc5REREREKoI//oBz52zjML16nSl1SdLVUKIkxWbkSNs2I8MgJibL2mBEREREpNg9+iiAAZjMn+9ocTTXR4mSFJvx4yFnmfBx41ItjkZEREREitvnn9u2fn4ZBARUszaY66RESYqNoyP4+tqGWyMjVX4nIiIiUp59+SWkpdnK7oYOPWFxNNdPiZIUq969bdukJEfS062NRURERESKz5gxAAaGYfLMM75Wh3PdlChJsZo7F3LK7555JtniaERERESkuHz/vW1bp04KHh4e1gZTBJQoSbHy8wNXV9v9994rmxcbExEREZHLe/99yM4GMJk8+bTV4RQJJUpS7Fq3ts1TOnnS2eJIRERERKQ4TJ1q2zo6mgwe7G9tMEVEiZIUuxdeADAxTYP161OsDkdEREREilBWFvz6q+3+zTcn4eJSPhbxUqIkxa5TJ3D4+5v23HPWxiIiIiIiRcv2R3EAkxdfTLAwkqKlRElKRN26tvK7n38uH39hEBERERGbRYtsW1fXbG67rZa1wRQhJUpSIkaOtG0zMgxiYrKsDUZEREREikRSEvz5p+1+585/4ejoaG1ARUiJkpSI8eMhZ5nwsWNTLY5GRERERIrC6NE590wWLMiwMpQip0RJSoSjI1Staiu/27FD5XciIiIi5cHatbatt3cmDRuWj9XucihRkhJz9922bVKSI+np1sYiIiIiItfn6FFITjYBuPfe0xiGYXFERUuJkpSYOXMgp/zumWeSLY5GRERERK7Ho48CGIDJnDluFkdT9JQoSYnx8wNXV9v9995zsjYYEREREbkuO3fatv7+6VSrVsXaYIqBEiUpUa1b24ZkT550tjgSEREREblWkZGQkWEruxs58qS1wRQTJUpSomwXJDMxTYO1a1OsDkdERERErsG4cQAGhmEyaVI1q8MpFkqUpER16gQOf3/rnn/e2lhERERE5Nr8+KNtW7/+Bdzd3a0NppgoUZISV7eurfzu55+1TLiIiIhIWfPmm5CdDWDy/PN/Wh1OsVGiJCVu5EjbNiPD4NdfM60NRkRERESuyowZtm2lSib33htgbTDFSImSlLjx4yFnmfBx49IsjkZERERECisrC44ds91v0eI8lSpVsjagYqRESUqcoyNUrWorv9uxQ+V3IiIiImXFlCk590xeeSXJylCKnRIlscTdd9u2SUmOpKdbG4uIiIiIFM6yZbatm1s2bdvWtDaYYqZESSwxZw7klN8980yyxdGIiIiIyJWcPQt//WW7dtIdd5zFwaF8pxLl+9VJqeXnB66utvvvvedkbTAiIiIickWPPgpgACYLF2ZbHE3xU6Iklmnd2jZP6eRJZ4sjEREREZEr+fhj27ZKlUyCg2tYG0wJUKIklnnhBQAT0zRYuzbF6nBERERE5BJ++AFSUmxld/fff9LiaEqGEiWxTKdOkFPaOm2apaGIiIiIyGXYroNpK7ubMcPT4mhKhhIlsVTdurbyu59/1jLhIiIiIqXVl1/atjfckIavr7e1wZQQJUpiqdGjbdvMTIMjRzKtDUZERERE8tm0CTIzbWV348dXjLI7AMM0TdPqIIrbuXPn8Pb2JjExES8vL6vDkYtkZYGTk22Z8F69ktm0qbLVIYmIiIjIRRo3hp9/BgcHk6SkVNzc3KwO6boUNjfQiJJYytERqla1ld/t2KHyOxEREZHS5vBh27Zx4+QynyRdDSVKYrm777Ztk5IcSU+3NhYRERER+Z/588FWf2Yya9ZZq8MpUUqUxHJz5gDYyu+efjrZ4mhEREREJMfLL9u2zs4mPXsGWBtMCVOiJJbz8wNXV9v9FSucrA1GRERERABIT4f4eNv9du0ScXKqWL/TlChJqdCmjW2e0smTzhZHIiIiIiIAjz2Wc89k/vyKV/WjRElKhRkzAExM02Dt2hSrwxERERGp8N57z7b18MiiefNa1gZjASVKUip06gQOf38bp02zNBQRERGRCu/ECTh3znYVoZ49z2AYhsURlTwlSlJq1K1r+wf4889aJlxERETESsOHAxiAySuvOFocjTWUKEmpMXq0bZuZaXDkSKa1wYiIiIhUYFu32rZ+fhkEBFSzNhiLKFGSUmPsWMhZJnzcuDSLoxERERGpmPbtg7Q0W9ndww+fsDga6yhRklLD0RGqVrWV3+3cqfI7ERERESuMHAlgYBgmzzxTxepwLKNESUqVu++2bZOTHUlPtzYWERERkYrou+9s26CgVDw9Pa0NxkJKlKRUmTMHcsrvXnCfCbVqwfLl1gYlIiIiUkGsXg1ZWQAmkyefsjocSxmmaZpWB1Hczp07h7e3N4mJiXh5eVkdjlxOx4647d5CKu4E8htxBNv3s3OnpaGJiIiIlHchIXD0KDg6ZpOcnIGLS/mbDlHY3EAjSlJ6LF8Ou3fThq8A+J3A/x3btQvefdeauEREREQqgKwsW5IEcNNNyeUySboaSpSk9Hj6aQBm8RRgYuLARnr97/iUKdbEJSIiIlIBzJqVc89kzpy/rAylVFDpnZQelSvDhQsAOJJBNk40Zx/f0cp23N0dkpMtDFBERESk/KpRA06dAheXLJKTwdGxfF5oVqV3Uvb4+NjvNuAwAIdoVuBxERERESk6SUm2JAmgc+eEcpskXQ0lSlJ6zJxpv/s0trHfTCrxFS1tO2fPtiIqERERkXJv3LiceyYLFqRZGUqpodI7KV06dbIt3AA4kIWJAx3Zwc6OU7XqnYiIiEgx8fS0jSp5eWWQkOCEYRhWh1RsVHonZdPOnfDOOxAQQJARB8BXjh2UJImIiIgUk5gYSEqyjZ307ftnuU6SroYSJSl9Bg+GP/5g7MvBAKRnOXL4cKa1MYmIiIiUUyNGABiAycsvV+wlwS+mRElKrfHjAUzAYORI1cqKiIiIFIecwh1//3T8/HytDaYUUaIkpZajI9SsaRv63bvX1eJoRERERMqfnTshPd1WdvfooyctjqZ0UaIkpdrDD9u2qakOHD+ebW0wIiIiIuWMbbU7A8MwefzxqlaHU6ooUZJS7bnnIKf8btSoFIujERERESlfDh2ybUNCLlC5cmVrgylllChJqebsDL6+tvK7zz/X5EIRERGRovLWW5CdDWDy3HN/Wh1OqaNESUq9++6zbZOTHTl/vtxf9ktERESkREyfbts6OZncd19Na4MphZQoSan38suQU343btwFi6MRERERKfuysiDOdslKWrY8j7Ozs7UBlUJKlKTU8/CwXS0aYP16/SMWERERuV5PPZVzz+Tll89bGUqppURJyoSePW3zlBITnUhPtzgYERERkTJu2TLb1s0tm/btA6wNppRSoiRlwoIFkFN+99RTKr8TERERuVaJiXD2rG3ed9euZ3FwUEpQEL0rUib4+4Obm+3+O+84WRuMiIiISBn26KMABmDyyiu6TuWlKFGSMqNzZ1v53Z9/ViIry+JgRERERMqojRtt2ypVMqlXr4a1wZRiSpSkzFi4EHLK7+bNU/mdiIiIyNWKioKUFFvZ3cCBpyyOpnRToiRlRoMGtgvQArz6qqO1wYiIiIiUQReX3c2c6WFxNKWbEiUpU9q0sZXfHT+uZcJFRERErtbevbbtDTek4evrbW0wpZwSJSlT5s4FMDFNg7ffTrU6HBEREZEyY/NmyMy0ld2NG6eyuyuxPFHauXMnvXv3JiAgAMMw2LBhQ67jYWFhGIaR69a9e3drghXL/fOf4PT3onczZ1obi4iIiEhZMmkSgIGDg8mYMX5Wh1PqWZ4oJScnc/PNN/Pvf//7km26d+9OfHy8/bZy5coSjFBKm6ZNbeV3sbEuFkciIiIiUnb8/LNt26hRMm45112RS7L8gjQ9evSgR48el23j4uKCv79/CUUkpd2MGdC7N2Rnw8cfp9Krl6vVIYmIiIiUagsWgGkCmLzwwllACzlcieUjSoURGRlJ9erVadiwISNHjuTMmTOXbZ+Wlsa5c+dy3aT8uOsucHCwLRM+ebJpdTgiIiIipZ5tnjdUqmTSu3eAtcGUEaU+UerevTvvvvsu27ZtY86cOezYsYMePXqQdZkrjs6ePRtvb2/7LTAwsAQjlpJQv76t/C4qSuV3IiIiIpeTng7Hj9vu//OfiTg5WV5UViYYpmmWmj/JG4bB+vXr6du37yXb/Prrr9SrV4/PP/+c22+/vcA2aWlppKWl2R+fO3eOwMBAEhMT8fLyKuqwxQLLl8PDDwOY7N2byT//WcniiERERERKp7FjYdEiAJNvv/2dli0r9iDCuXPn8Pb2vmJuUOpHlPKqW7cu1apV48iRI5ds4+LigpeXV66blC9hYWAYtvK78eMzrA5HREREpNR67z3btnLlLJo3r2VtMGVImUuUfv/9d86cOUPNmjWtDkUsVru2rfzu+++1mIOIiIhIQU6cgMREWwFZjx5ncHAocz//LWP5O5WUlMT+/fvZv38/ADExMezfv5+4uDiSkpJ4/PHH+fLLL4mNjWXbtm306dOHkJAQunXrZm3gYrlRo2zbjAyDo0cvPWdNREREpKL6178ADMBkwQLLf/qXKZbPUYqMjOTWW2/Nt3/IkCEsWbKEvn378v3335OQkEBAQAB33nknM2bMoEaNGoU+R2HrEKVsycoCJydb+V3Xrsls3VrZ6pBEREREShVXV0hLg2rV0jl92tnqcEqFwuYGli950aVLFy6Xq23ZsqUEo5GyxNERatQwOHkSdu9W+Z2IiIjIxfbtg7Q02x+VH3roJFCxF3G4Whp/kzJtyBDbNjXVgZMns60NRkRERKQUsU1TMDAMk+ef97E4mrJHiZKUaTNmANj+UjJqVIrF0YiIiIiUHvv22ba1a6fi6elpbTBlkBIlKdOcncHX17b63Wef6eKzIiIiUsEtXw61avGB8wNkZQGYPPHEKYuDKpuUKEmZ16+fbZuU5MiFC6Xm+skiIiIiJatjR3j4YTh+nKcypgHgRCaPvh9qbVxllBIlKfNefhlyyu/GjbtgcTQiIiIiFli+HHbvBiALOEIIAP9kL4579sC771oXWxmlREnKPG9vyCm7XbtWy16KiIhIBfT00/a7L/Ektp/5Jkv4l23nlCmWhFWWKVGScqFbN9s8pYQEp7/rcUVEREQqkIQE+90FTADAjRSaEpXvuBSOEiUpFxYsgJzyu6eeUvmdiIiIVDA+PgCk4MwpagDQi//kOy6Fp0RJyoVatcDNzXY/PNzy6yiLiIiIlKyZMwEYw78BAzB5nUf/d3z2bEvCKsuUKEm50amTrfzu9OlKFkciIiIiUsLCwqBjR1byAABVOEsVEm3HOnaEwYOti62MUqIk5cYrr0BO+d38+Sq/ExERkYpl69SdpGArsXnS8WWMgAB45x3YudPiyMomwzTNcn/hmXPnzuHt7U1iYiJeXl5WhyPFyMXFJD3d4IYb0jh2TBegFRERkYojJASOHgUHB5PExGQ8PDysDqlUKmxuoBElKVdatbKV3/3xh5YJFxERkYojJcWWJAG0aHFeSVIRUKIk5cpLLwGYmKbBe++lWh2OiIiISIkIC8u5Z7J0aaKFkZQfKr2TcsfJySQryyAkJJXoaFerwxEREREpdi4ukJ4OVaumc/p0JQzDsDqkUkuld1JhNW1q+w/Dr79qjpKIiIiUf6tXQ3q6bexj3Lh4JUlFRImSlDvTp9u22dmwZYvK70RERKR8e+wxAANHx2yeeKKG1eGUG0qUpNy5+27bai9g8MQT2VaHIyIiIlJsTp+G48dto0kdOybi6qppB0VFiZKUS/Xq2Yacf/pJ/7EQERGR8uuhhwAMwOTNN9MsjqZ8UaIk5dKTT9q2mZkG332XYW0wIiIiIsXk889tW3//dEJC/K0NppxRoiTl0rBhYBi28rsxY5QoiYiISPnz2muQlQVg8uyz8VaHU+5oeXApt2rXhmPHwNk5m7Q0/U1AREREypdq1eDMGdtvnfPnM3F2drY6pDJBy4NLhTd6tG2bnm4QE5NlbTAiIiIiRSgmBs6csY13dOt2RklSMVCiJOXWpEkAtvK7kSO1TLiIiIiUH6GhkLOIw9Klum5ScVCiJOWWoyNUr277D8fOnVr9TkRERMqPr76ybYODUwkIqGZtMOWUEiUp12xLZkJKigN//qlrKomIiEjZ99xzkJ0NYPLiiyetDqfc0mIOUq6lp4OLi6387r77klmzprLVIYmIiIhcF29vOHcO3NyyOHfOxMnJyeqQyhQt5iACODtDlSq28rtPPnGxOBoRERGR67N/P5w7Zxvn6N//tJKkYqREScq9e+6xbZOSHLlwodwPoIqIiEg5NngwgIFhmCxY4GZ1OOWaEiUp9+bPh5zV7yZMSLE4GhEREZFrk5UFhw7Z7jdqlIyvr7e1AZVzSpSk3PP2Bg8P2/0PP6xkbTAiIiIi12js2Jx7Jq++esbKUCoEJUpSIdx5p22e0l9/OZGla8+KiIhIGbR8uW3r6ZnFbbcFWhpLRaBESSqEV16BnPK7Z59NtjgaERERkavzxReQkmKba/3ww/E4OOhnfHHT8uBSYbi5maSmGlSvnsbJk1oBT0RERMqOkBA4ehQcHEwSE5PxyJlXIFetWJYHP3bs2HUHJmKVW26xld+dOuVscSQiIiIihZeSYkuSAFq0OK8kqYRcVaLUqFEjnn32WS5cuFBc8YgUm4vL7xYu1HdYREREyoaHH865Z7J0aaKVoVQoV5Uobd26lS1btlC/fn2W58wmEykjmjaFSn8vejd/vup6RUREpGxYv9629fXNpEWLG6wNpgK5ql+L7du356uvvmL27NlMnTqVli1bsmvXruKKTaTItWxpK787dkxzlERERKT0W70a0tNtSwqMG3ccwzAsjqjiuKY/qw8ePJjDhw/Tq1cvevToQf/+/YmJiSnq2ESK3Jw5ACamabBqVarV4YiIiIhc1sSJAAaOjtk88UR1q8OpUK6r/ujOO+/kkUceYf369TRp0oQnnniCpKSkoopNpMh16gSOjrb7zz5rbSwiIiIil3P2LPzxh2006ZZbEnFzc7M4oorF6WoaL126lG+++YZvvvmGqKgoHBwcaNq0Kf/617+4+eabWbVqFU2aNGHdunW0atWquGIWuS5NmhgcOgRHj6r8TkREREqvBx4AMACTZcvSLI6m4rmq6ygFBgbStm1b/vnPf/LPf/6Tli1b5stsZ82axfvvv88PP/xQ5MFeK11HSS62fj306wdgsmVLOnfeqYRJRERESh8nJ8jKAn//NOLj9XulqBQ2NyjyC86ePHmSgIAAsrKyirLb66JESfJydDTJzja4+eYU9u/XMLaIiIiULosWwdixACaLF//GyJHBFkdUfhTLBWcLo3r16nzxxRdF3a1Ikapb17ZizI8/6q8zIiIiUvpMm2bbOjubDBsWYGksFVWRJ0qGYdC5c+ei7lakSE2aZNtmZhocOJBhbTAiIiIiF4mJgTNnbEVf/9/enYdHVd7vH7/PTPadHRIWAVFURKooVQmiorhbXKsoixZbV1T8otQFN4paZCnu/tSEWpe6r1itikEqakUqoKhgEAgEwpIM2ZOZ8/vjYQiELYQkzyzv13VxnZOZJNy2Ick9z3M+Z+jQjYqLi7OcKDpx101EpT/+UZJcSY6uvZaiBAAAQsdll0nBIQ5PPMF9k2yhKCFqde5svvF8/XWC5SQAAAB15s83x27dKpWZ2dZumChGUULUMqtKUnW1o/z80Bk+AgAAotfEiVIgIEmuHnxwne04Ua3Jp96FIqbeYVf8fikmxmy/O+20cs2enWQ7EgAAiHLp6ZLPJyUm+uXzuYqJ2afbnqIBrE29A8KF1yu1b2+23332GdPvAACAXQsXSj6fWcO44IIiSpJlFCVEtUsuMceKCo+KiyN+cRUAAISwESMkyZHjuJo2jWuobaMoIapNniwFp99dfXW55TQAACBa+f3SokXmvHfvMrVpk2E1DyhKiHKJiVJGhjl/7z223wEAADvGjg2eufrb3zbajIKtKEqIeueea65T2rLFq4oKy2EAAEBUevZZc0xN9eukk7rYDQNJFCVAU6dKwe1348aVWU4DAACizSefSBUV5lrp0aPXyuPhV/RQwHhwQFJKiquyMketW9do48ZY23EAAEAU6dVLWrZM8nhclZSUKSUlxXakiMZ4cGAfnHKK2X63aVOM/Nx7FgAAtJCKClOSJOnII7dQkkIIRQmQNGOGFNx+d++9TL8DAAAtY/To4JmrJ54osRkF9bD1DtgqIcFVVZWjjh2rtHYtE/AAAEDzi4+Xqqul1q1rtGFDjBzHsR0p4rH1DthHxx9vvjEVFsZZTgIAAKLBK69I1dVmzeKGG9ZQkkIMRQnYato0Kbj9buZMtt8BAIDmddNNkuTI6w1o/Pj2tuOgHooSsFXfvlLs1oF3U6Z47YYBAAARbdMmqaDArCYNHFiixMREy4lQH0UJ2M5vfmOWvFetYvsdAABoPsOHS5IjydXTT1daToNdoSgB23nwQUly5bqOXnmFb1oAAKB5fPSROXbsWK1evTrZDYNdoigB2xk8WPJu3XV3550RPxASAABY8Mgj2nrfRld33LHWdhzsBkUJqOeQQ8z2u2XLGBEOAACa3t13m2NcnKsxYzKtZsHuUZSAeu66yxz9fkefflplNwwAAIgo+fnSxo1m18rQoRsVF8d10aGKogTUc+GFkuOYMeHjxvltxwEAABHkssuk4BCHJ57gvkmhjKIE7EKPHuYb1+LFCZaTAACASDJ/vjl261apzMy2dsNgjyhKwC6MG2eONTWOFi2qtRsGAABEhHvukQIBSXL14IPrbMfBXjiu60b8aC+fz6f09HSVlJQoLS3NdhyEieD2u0GDyvXZZ0m24wAAgDCXni75fFJiol8+n6uYmBjbkaJSQ7sBK0rAbmRlme13X37J9DsAALB/Fi6UfD6zPnHeeUWUpDBAUQJ2Y8wYc6yq8mjVqoDdMAAAIKyNGCFJjhzH1YwZXAMdDihKwG7ccYckme13V19dYTkNAAAIV36/tGiROe/du0xt2mRYzYOGoSgBu+H1Sm3bmu13n37KKz8AAKBxxo4NnrmaPn2jzSjYBxQlYA8uvdQcy8s9Ki6O+LknAACgGTz7rDmmpvo1ZEgXu2HQYBQlYA8eeEAKbr+77royy2kAAEC4mTNHqqgwL7aOHr1WHg+/focL/p8C9iAxUQpOjXznHabfAQCAfWOGQznyeFxNmtTKdhzsA4oSsBfnnGOuU/L5YlRdbTkMAAAIGxUV0rJl5rxfvy1KSUmxGwj7hKIE7MXUqVJw+90tt7D9DgAANMzo0cEzV089VWIzChqBogTsRbt2UlKSOX/hhVi7YQAAQNh44w1zbN26Vkce2dluGOwzihLQAEOGmO13GzfGyu+3HAYAAIS8V16RqqvNEIcbblgjx3EsJ8K+oigBDTB9uhTcfnf//eV2wwAAgJB3002S5MjrDWj8+Pa246ARKEpAA3TvLsVvHXo3ZUqc3TAAACCkbdokFRSY1aSBA0uUmJhoOREag6IENNA115gl89JSr/7+9xrLaQAAQKgaPlySHEmunnii0nIaNJbjuq5rO0Rz8/l8Sk9PV0lJidKCN8UBGiEuzlVNjaOkJL/Kyry24wAAgBAUEyP5/VLHjlVau5b7MIaahnYDVpSAhsjJkbKydGvgAUlSeblHjz3GTZUAAMCOHn9cWwc/ubrjjrW242A/sKIE7E12tvT559vejFeFqpWgJKdcZYEki8EAAECoaddO2rBBiosLaMuWWsXFcW1zqGFFCWgKOTk7lCRJuld3SZLK3URN+f0XFkIBAIBQlJ8vbdhg1iBOPXUTJSnMsaIE7ElWlrRmzU4PJ6pMlUpSgipU4TLJBgAASMcfL/3nP5LkqqBgozIz29qOhF1gRQloCsXFu3z4If2fJFeVStR993GtEgAAkObPN8du3SopSRGAogTsSUbGLh++Xo8pSWWSpPvui2nBQAAAIBTdc48UCEiSqwcfXGc7DpoARQnYk0mTdvvUdN0oyVVNjUe33caqEgAA0WzqVHNMTAzo/PM72w2DJkFRAvZk1Cgz9W4XxmT/pJQUc/7ww6wqAQAQrb77TvL5zGX/551XpJgYfi+IBBQlYG/y8qTcXCkzU0pKMsfcXCkvT08+ae66XVvr0Q03VNlOCgAALLj8ckly5DiuZsxIsB0HTYSpd8B+yshwVVLiyOsNqLaW1x4AAIgmfr8UXEDq3btMP/yQbDcQ9oqpd0ALee45s6rk93t0xRVcqwQAQDQZOzZ45mrGjA02o6CJsaIENIE2bVxt2uTI43FVXe3I67WdCAAAtISkJKmiQkpNrVVxsUceD+sQoY4VJaAFvfCCWVUKBBxddhmrSgAARIM5c6SKCrPmMHr0WkpShGFFCWgiHTq4Wr/eXMhZU8OqEgAAka5bN2nlSslxXPl8ZUoJjsNFSGNFCWhhr7xiVpVc19H55zMBDwCASPb++9LKlWa94XTnfaUcfLCUk2M3FJoUK0pAE8rKcrVmjVlVqqx0FBdnOxEAAGgOaTFl2uJPlke1qlKstt05KTvb3FoEIYsVJcCCN96oW1U65xxWlQAAiET3n/+NtviTJEm36QHtcHvZuXOlWbOs5ELTYkUJaGLdurlaudIUpvJyR4mJthMBAICm4vdL8TG18itGSSpVmVJ3fqfMTKmgoOXDoUFYUQIseecdU5IkR6edxqoSAACR5KKLJL9iJLl6XsN3/U7FxS0ZCc2EogQ0sb59pR49zHleXpxKS+3mAQAATWPTJun11815Z63SML2963fMyGixTGg+FCWgGcyeXbeqNGQIq0oAAESCE04Inrn6t07a/TtOntwScdDMKEpAMzjoIKl3b3P+5ZdxKimxmwcAAOyfr76SFi82l/YffnipDs7O3PU7ZmdLI0a0YDI0F4oS0Ez+9a+6VaUTT2RVCQCAcHbGGZJkbgHy7ruVZgR4bq4Z3JCUZI65uYwGjyAUJaCZdO0qHX64I0n69ts4FRZaDgQAABrlySeljRvNatLvflekrl3bmSdGjDDT7crKzJGVpIhCUQKa0YcfSsFVpZNPrracBgAANMYNN0iSo9jYgGbNSrIdBy2EogQ0o44dpf79zarS99/HauVKy4EAAMA+GTNGqq6WJFf/93+/KiUlxXYktBBuOAs0s02bpDZtzKrSgQdW6+ef42xHAgAADVBRISUnS64rZWTUaP16KTY21nYs7CduOAuEiNatpeOPN6tKy5bFatmyiH9tAgCAiHDyyaYkSa6efno1JSnKUJSAFvDBB1LwWqVTTqmxnAYAAOzNTz9JX3xhznv2rND55x9gNQ9aHkUJaAEpKdJJJ5lVpRUrYrVoEatKAACEspO23U/W1ZtvFstxHJtxYAFFCWgh774rBVeVTj+dVSUAAELVa69JBQXmRc2TTtqsPn12c3NZRDSKEtBCEhOlM84wr0YVFMTqv/9lVQkAgFBkbofkyOsN6JVXvLbjwBKKEtCC3nhDchyzqnTWWbW24wAAgHomTJDKyyXJ1R//uEatW6fbjgRLKEpAC4qLk4YNM6tK69bFaO7cgOVEAAAgyO+XHnrInCcn+zV1aju7gWAVRQloYf/8Z92q0nnn+W3HAQAAW515phQISJKrKVNWKT4+3nYkWERRAlqY1ytdcolZVdqwIUYffURZAgDAtoIC6V//MudZWVW66qpudgPBOooSYMGsWZLHY1aVLrqIoQ4AANg2eHDwzNU//7lBHg+/Jkc7vgIAC7xe6YorzKpScbFXr7/OYAcAAGyZM0datsy8cHn00T4dd1xnu4EQEhzXdSP+5Wyfz6f09HSVlJQoLS3NdhxAkrlgND7eld/vKDW1Vj5fjO1IAABEpYwMqaTEXENcULBJnTq1sR0Jzaih3cD6ilJeXp7OPvtsZWZmynEcvfnmmzs877qu7rrrLnXq1EmJiYkaMmSIfv75ZzthgSbk9UrXXWdWlbZs8er557kJLQAALe3hh6WSErNucOml6yhJ2MZ6USorK9MRRxyhRx99dJfPP/TQQ/rb3/6mJ554Ql9++aWSk5M1dOhQVVZWtnBSoOlNny7FxJhrlf70J8d2HAAAoorfL912myQ5io/366mn2HmEOtaL0umnn677779fw4YN2+k513U1ffp03XHHHTr33HPVt29fzZo1S2vWrNlp5QkIV+PHm4JUVubV009XW04DAED0uPxyqbZWklzddddKJSUl2Y6EEGK9KO1Jfn6+CgsLNWTIkG2Ppaena8CAAfriiy92+3FVVVXy+Xw7/AFC1aRJUlycWVUaO9ZrOw4AAFGhpER68UVz3qZNjcaP72I3EEJOSBelwsJCSVKHDh12eLxDhw7bntuVyZMnKz09fdufLl34wkdou/NOs6pUUeHR9OmsKgEA0Ny2Hwc+a9YaxcQwVAk7Cumi1FgTJkxQSUnJtj+rVq2yHQnYozvuMBPwJEe33caqEgAAzWnhQmnhQjPA4ZBDynT66dxcFjsL6aLUsWNHSdK6det2eHzdunXbntuV+Ph4paWl7fAHCHV/+YsjyVVVlVeTJjEBDwCA5jJ0qCSZn7vvvFMmx2GgEnYW0kWpe/fu6tixoz7++ONtj/l8Pn355Zc69thjLSYDmt7NN0uJieb8nntYVQIAoDnMmiWtX29Wk844Y6N69uywl49AtLJelEpLS7Vw4UItXLhQkhngsHDhQq1cuVKO4+jGG2/U/fffr7fffluLFi3SiBEjlJmZqd/97ndWcwPNYdo08+pWTY1Hd9zBtUoAADS1q66SJEcxMQG99FK87TgIYY7ruq7NAHPmzNGJJ5640+MjR45UTk6OXNfVxIkT9dRTT6m4uFgDBw7UY489poMOOqjBf0dD774LhILUVFelpeYbeE2N9dcyAACIGNdfLz3yiCS5uuWWVfrrX7vajgQLGtoNrBellkBRQjiZNUsaOdIMdrjxxmpNmxZnOxIAAGGvulpKSJBcV0pLq1FRkau4OH7GRqOGdgNergZCzIgRUvDf7MyZjCoFAKApnHKKKUmSq8ceW01Jwl5RlIAQ9Oyz5lolv9+jq67iWiUAAPZHfr6Ul2fOu3Wr1KWXHmA1D8IDRQkIQeefL7VqZc6feSZWfr/dPAAAhLO6y+FdvfnmRsaBo0EoSkCIev55s6oUCDgaOZJVJQAAGuP996VffzWX5GdnF6tfv86WEyFcMMwBCGHt27sqKnLkOK5qahx5ub0SAAD7JDVVKi2VPB5X69YVq23bVrYjwTKGOQAR4J//NKtKruvooouqbMcBACCs3HOPKUmSdMUVayhJ2CesKAEhLjPT1dq1rCoBALAv/H4pPt4cExP92rSpRgkJCbZjIQSwogREiNdfr1tVOvtsVpUAAGiI88/X1mFIriZP/pWShH3GihIQBrp0cbV6tVlVqqx0xK0fAADYvaIiqX17c96xY5VWr46Rly0Z2IoVJSCCvPNO3arSaaexqgQAwJ6ccELwzNWLL66jJKFRKEpAGOjXT+re3Zx/+mnctgtTAQDAjubNk374wWyY6tevVIMHd7WcCOGKogSEiffeM6tKkqOhQ1lVAgBgV845R5LMdvW33qq0HQdhjKIEhIlDDpEOOsic/+c/cSopsZsHAIBQ8/jj0qZNZjXp/PPXq2vXdpYTIZxRlIAw8sEHdatKJ53EqhIAANu78UZJchQbG1BOTorlNAh3FCUgjHTvLvXp40iSFiyIU1GR5UAAAISIK66QqqslydWECb8qOTnZdiSEOcaDA2GmoEDq3NmsKvXpU61Fi5gVDgCIbqWlUlqa5LpSq1Y1WrdOio2NtR0LIYrx4ECEysqSjjzSrCotXhyrggLLgQAAsOzkk01Jklw9+2wBJQlNgqIEhKEPPpDqrlWqtpwGAAB7fvhB+uors0GqV69ynXtuN8uJECkoSkAYatdOOvZYs6r000+xys+3HAgAAEuGDJEkM+zo7bd9chzHciJECooSEKZmz5aCq0qnn84EPABA9HnlFWnNGrOadMopm9S7dyfLiRBJKEpAmEpPl444wrxq9vPPDHQAAESfkSMlyZHXG9BLL8XYjoMIQ1ECwtj995tjIODovfe4+zgAIHqMHy9VVEiSq2uvLVDr1um2IyHCMB4cCHNer6tAwNFhh1Vo8eJE23EAAGh21dVSYqIUCEjJybXauNGv+Ph427EQJhgPDkSJXr3M9rulS/kBAQCIDmeeaUqS5GrGjJWUJDQLihIQ5m67zRz9fkfz59fYDQMAQDMrKJD+/W9z3rlzlUaPPsBqHkQuihIQ5kaNkhzHTL8bO5aiBACIbIMHB89cvfbaBnk8/DqL5sFXFhABunQx2+++/TbBchIAAJrPJ59Iy5aZy+sHDPDpmGM6W06ESEZRAiLAtdeaY02No59+8tsNAwBAMznvPEly5Diu3n671nYcRDiKEhABxo2TgjefveYaxoQDACLPhAlSSYlZTbrssnVq376N5USIdBQlIAJ4vVKHDmb73bx5bL8DAESOnBwpJUV64AHzgmB8vF9PPMHtXtD8KEpAhDB3J5cqKz1aty5gNwwAAPvphRek9HRp9GhXZWWS5Cg2NqDnnlulpKQk2/EQBShKQIS47z6pbvtdheU0AAA0zmuvSRkZ0vDhrnw+KViQ/vSnAhUXV+qSSw6wGxBRI8Z2AABNIy5Oat3a0aZN0ocfcuM9AEB4efddacQIafNm86Kf5CgmJqCRI9dqxowMJSdn2Y6IKMOKEhBBzj/fHEtLvSovd+2GAQCgAf71L6ltW+nss11t3ixJjrzegC6/vFCbN5fr//2/LCUnJ9uOiShEUQIiyF//KgW3311/fbnlNAAA7N6cOVKHDtJpp7nauFGSHHk8ri6+eJ02by7TrFkdlZKSYjklohlFCYgg6elSaqo5f/31OLthAADYhXnzpE6dpBNPdLV+vRQsSOedt14bNmzRSy91UGrwhxlgEUUJiDBDh5ox4cXFMfJz71kAQIj46ispK0saONBVYaEUvHHsOecUqajIp9dea69WrRj7jdBBUQIizPTpUnD73YQJbL8DANi1cKHUtas0YICrNWukYEE6/fQNKioq0VtvtVPr1umWUwI7oygBESYrS0pMNOc5OQy2BADYsXix1L279JvfuFq1SgoWpFNO2aj164v1/vtt1aZNhuWUwO5RlIAINGiQ2X5XVBTL9jsAQIv66SepVy/p8MNdrVghBQvS4MGbVVCwSR9+2EZt27aynBLYO4oSEIGmTZOC2++mTWP7HQCg+eXnS717Swcf7GrZMsncC8nVwIGbtXr1Rn36aSt16tSmcZ88J8dsmUhONsecnCbLDeyO47puxN9sxefzKT09XSUlJUpL4yJBRIf4eFfV1Y46d67SqlXcgBYA0DxWrpTOOENasiR4o1hJcjVggE///Ge1unZtt39/QXa29Pnnu348L2//PjeiUkO7AStKQIQ6+mjzw6qggDHhAICmV1go9e0rdesmLVkiBVeQ+vf3admy9Zo/P33/S1JOzq5LkiTNnSvNmrV/nx/YA4oSEKEefFCSXLmuo9zcSttxAAARoqhIOvJIcy+kRYuCj7rq12+Lfv55nb7+Ok09e3Zomr/s9tv3/PyECU3z9wC7QFECItTxx0terzm/7z67WQAA4W/TJumYY6T27aVvvw0+6qpPn1ItWrRW336bqgMP7Ni0f2lx8f49D+wHihIQwfr0Mdvv8vO5RgkA0DglJebFtzZtpK+/Dj7q6pBDSrVw4RotWpSiPn0ym+cvz8jYv+eB/UBRAsJVAyYA3XuvOQYC0nvvsf0OANBwpaXS4MGmi/znP8FHXfXqVab//ne1vv8+RUcckdW8ISZN2vPzkyc379+PqMbUOyAc7cMEIK/XVSDgqE+fCi1alNhCAQEA4WzixLoX2wxXPXtW6B//2KQBAzq3bJhBg8zghvqYeodGYuodEKn2cQLQgQea7Xc//MD2OwBAw9Rd2+qqW7cK5eWt1rJlSS1fkiRThnJzpcxMKSnJHHNzKUlodhQlINzs4wSg8ePN0e939PXXNc0UCgAQKSZPlsx+I1fPPvuT8vMTlJ3dxW6oESOkggKprMwcR4ywmwdRga13QLhJTpbKy3f/fFKS+UGyHY/HjAkfMKBc8+cnNXNAAEA4a9tW2rhRio/3q7TUVUxMjO1IQJNi6x0QqRoxAahzZ7P97ttvE5o+DwAgYhQVSRs3mtfQTzllMyUJUY2iBISbRkwAuvZac6yudrR8ub8ZQgEAIsHo0ZLkSHL1yCMBy2kAu9h6B4SjfZwA5PdLMTGuJEdDhpTpo4+Smz8jACDsxMdL1dVS+/bVWrcuznYcoFmw9Q6IZPs4AcjrlTp0MNvvPv+c7XcAgJ29/75UXW1eP7/uurWW0wD2saIERInx46W//lWSXBUWuurQgddJAAB1evWSli0zA4C2bKlQUhLDfxCZWFECsIP775cks/3ummsqLacBAIQSv9+UJEnq27eUkgSIogREjbg4qVUrs/3uww/Zdw4AqHPrrcEzV9OnF1tMAoQOihIQRc4/3xxLS70qL4/4XbcAgAZ6+mlzTE72Kzs7y24YIERQlIAoMmWKFNx+N3ZsheU0AIBQkJ8v+XzmxbNzztkoj4dfDwGJogRElfR0KSXFnL/6aqzdMACAkDBqlBS8d9KMGfxsAIIoSkCUGTrUXKdUXBwjP/eeBYCoN2+eOXbuXKV27VrbDQOEEIoSEGVmzJCC2+/+/Odyy2kAADY9/7y2vmjm6rbbCm3HAUIK91EColBioqvKSkft2lVr/Xom4AFAtOraVVq1SoqJCai0tEbx8fG2IwHNjvsoAditQYPM9ruioli23wFAlKqoMCVJko45xkdJAuqhKAFRaPp0Kbj9bto0tt8BQDS67rrgmauZM0ttRgFCElvvgCgVH++qutpR585VWrWKVxEBINokJ0vl5VJaWo2Ki2PkOI7tSECLYOsdgD3q39/8QCwo4BolAIg2Cxdq243HL710PSUJ2AWKEhClHnpIkly5rqO//73SdhwAQAv6wx8kyZHjuPrLX1JtxwFCEkUJiFLHHy95veb83nvtZgEAtKxvvzXHHj0q1KoVlyUAu0JRAqLYYYeZrRa//MI1SgAQLaZPlwIBSXJ1333rLacBQhdFCYhi991njoGANHs22+8AIBpMnmyOcXGuLrggy24YIIRRlIAods45ksdjxoTfemvED8AEgKhXUiKtX2++359wwmbFxsZaTgSELooSEOV69jTb7374ge13ABDprrhCkhxJrh57rMZyGiC0UZSAKHfrreZYW+vo66/5oQkAkey998yxTZsaHXhgR7thgBBHUQKi3JVXSo5jtt+NHUtRAoBINWeOVFVltt2NGbPWbhggDFCUAKhzZ7P97ptvEiwnAQA0l2uukYL3Trrjjra24wAhj6IEQFdfbY7V1Y6WL/fbDQMAaHJ+v7R0qTk/9NAyJScn2w0EhAGKEgCNHy9JZvvd1VczJhwAIs3dd0uuK0mupkzZaDkNEB4oSgDk9Urt25vtd59/zvY7AIg0jz5qjomJAZ1ySme7YYAwQVECIEm6/HJzrKjwaMOGgN0wAIAmU1Agbd5shjicdtpGeb1ey4mA8EBRAiBJ+stfpLrtdxWW0wAAmsqoUVLw3kmPPMKvfkBD8a8FgCQpLk5q1cpsv/vgA24+CwCRYs4cc+zYsVqZmUy7AxqKogRgm2HDzLG01KvyctduGADAfnvjDam21nw/v+mmQstpgPBCUQKwzdSpUnD73Y03sv0OAMLduHGS5MjrDeiGGzrYjgOEFYoSgG3S06WUFHP+6quxdsMAAPZLdbWUn2/OjzxyixISmGoK7AuKEoAdnHqquU5p8+YY+bn3LACErZtvDp65mjGj1GYUICxRlADsYNo0Kbj97o47yiynAQA0Vm6uOaak+DVgQCe7YYAwRFECsIOuXaXg7oxnn2X7HQCEox9+kEpLzRCH884rksfDr3zAvuJfDYCdDBxott+tX09RAoBwdOWVUvDeSVOnJlpOA4QnihKAnWy//W7q1HLLaQAA++rLL82xW7dKtWmTYTULEK4oSgB20qePFLt1MWn6dK/dMACAffL001IgIEmu7rxzve04QNiiKAHYpf79zfa71avjLCcBAOyLu+82x9hYV5dfzhAHoLEoSgB26YEHJMmV6zp64YVK23EAAA1QWiqtWWPOjzuuRHFxvNgFNBZFCcAuDRokebfuugu+OgkACG1//GPwzNUjj1TYjAKEPYoSgN069FCz/W758njLSQAADfH66+aYkVGrww5j2x2wPyhKAHbrnnvMMRCQPvywym4YAMAezZ8vVVaaeyeNGFEox3EsJwLCm+O6rms7RHPz+XxKT09XSUmJ0tLSbMcBworX6yoQcNS3b4X+9z/uxQEAoeqII6TvvpMcx1VJSalSU1NtRwJCUkO7AStKAPaoRw/ziuT337P9DgBC2aJF5tirV/n+laScHCkrS0pONsecnKaIB4QdihKAPRo/3hxrax0tWFBjNwwAYJcmT5bMHiFXkydvaPwnys6WRo82o/PKy81x9Ggz4QeIMhQlAHs0ZozZxiE5uv56ihIAhKKHHzbH+PiAzjknq3GfJCdH+vzzXT83d640a1bjPi8QpihKAPaqc2ez/e6//02wnAQAUF9RkbRxo7nk/OSTNysmJqZxn+j22/f8/IQJjfu8QJiiKAHYq6uvNsfqakf5+X67YQAAO7jiCklyJLl67LFA4z9RcfH+PQ9EGIoSgL0y1ymZ7XdXX11pOQ0AYHsffmiO7drVqFu39o3/RBkZ+/c8EGEoSgD2yuuV2rc32+/y8th+BwCh4v33pepqs+3uuuvW7t8nmzRpz89Pnrx/nx8IMxQlAA0yfLg5VlR4tu2FBwDYdeONkuTI43F1yy3t9u+TjRplpt7tSna2NGLE/n1+IMxQlAA0iHmhMbj9rtxyGgCA3y/9/LM5P/zwUiUlJe3/J83Lk3JzpcxMKSnJHHNzzeNAlGnkWBQA0SYxUcrIcFRcLM2ezc1nAcC2uiF0rh5+eLOk/bjJ7PZGjGD1CBArSgD2wbBh5lha6lVFhd0sABDtnnzSHJOS/DrxxM52wwARiKIEoMGmTJGC2+9uvrnMchoAiF75+ZLPZ64XPfvsjfJ4+JUOaGr8qwLQYK1bSykp5vzll+PshgGAKDZ6tBS8d9LMmbGW0wCRiaIEYJ+ceqoZE755c4z83HsWAKyYN88cs7Kq1K5da7thgAhFUQKwT6ZNk4Lb7yZOZPodALS0F16QamslydWttxbajgNELMd13Yi/IYrP51N6erpKSkqUlpZmOw4Q9hITXVVWOmrfvkrr1jEBDwBaUteu0qpVUkxMQKWlNYqP5/swsC8a2g1YUQKwz44/3my/W7+e65QAoCVVVJiSJElHH+2jJAHNiKIEYJ9NnSoFt99Nncr2OwBoKdddFzxzNXPmFptRgIjH1jsAjRIX56qmxlGXLpVauTLBdhwAiArJyVJ5uZSWVqPi4hg5jmM7EhB22HoHoFkddZT54bx6Nds+AKAlfPedVF5uXt+++OL1lCSgmVGUADTKgw9KkivXdfTSS5W24wBAxLvySkly5DiuHnggxXYcIOJRlAA0yqBBktdrzu+6y24WAIgGCxaYY48eFWrdOt1uGCAKUJQANNohh5htH8uXs/0OAJrTzJlSICBJru67b73tOEBUoCgBaLS77zbHQED68MMqq1kAIJJNmmSOcXGuLrggy24YIEpQlAA02vnnS45jxoSPHx+wHQcAIlJJibRunRnikJ29WbGxsZYTAdGBogRgv/TsabbfLVnC9jsAaA7BIQ6Sq0ceqbacBogeFCUA++WWW8yxttbRggU1dsMAQAR6911zbNOmRr17d7IbBogiIV+U7r77bjmOs8Of3r17244FYKs//lGSzPa766+nKAFAU8rLk6qqzLa7P/yh0HIaILrE2A7QEIcddpj+/e9/b3s7JiYsYgNRo3NnR6tXS//9b4LtKAAQUa65RgreO+mOO1rbjgNElZBfUZJMMerYseO2P23btrUdCcB2zKqSVF3tKD/fbzcMAEQIv1/6/ntzfsghZUpJ4SazQEsKi6L0888/KzMzUz169NDw4cO1cuXKPb5/VVWVfD7fDn8ANJ8JE6Tg9rtrrmFMOAA0hXvvlVxXklxNmbLRdhwg6jiua/4JhqrZs2ertLRUBx98sNauXat77rlHBQUFWrx4sVJTU3f5MXfffbfuueeenR4vKSlRWlpac0cGolL79lJRkZSY6Fd5udd2HAAIe61bS5s3SwkJfpWWSl4v31uBpuDz+ZSenr7XbhDyRam+4uJidevWTVOnTtWVZl7mTqqqqlRVVfeqts/nU5cuXShKQDO68UZpxgxJcrVhg9SmjWM5EQCEr4ICqXNns1J/7rlFevPNdrYjARGjoUUpLLbebS8jI0MHHXSQli1bttv3iY+PV1pa2g5/ADSvyZOl4Pa7cVkvSsnJUlaWlJNjNxgAhKErrpCC90569FHLYYAoFXZFqbS0VMuXL1enTtxHAAgliYlShrdUkvRW1WlSebm0Zo00erQ0aJDldAAQXj75xBw7dqxWVharSYANIV+UbrnlFn322WdasWKF/vOf/2jYsGHyer265JJLbEcDsL2cHJ3rf1WSVKxWqlBc3XNz50qzZlkKBgDh5Y03pNpac2XETTdx7yTAlpAvSqtXr9Yll1yigw8+WBdddJHatGmj+fPnq107Xl0BQsrtt2uqblJw+93t+suOz5vReACAvbjlFkly5PUGdP317W3HAaJW2A1zaIyGXrAFYD8kJ0vl5UqRT2VKVaLKVK7t7vmRlCSVldnLBwBhoLpaio835/37+/T11/zeAjS1iB3mACBEZWRIksbpYUmuKpSsk/XRTs8DAHZv3LjgmasZM7gPJGATRQlA05g0SZJ0j+7RAcqXJH2ik/WSLjTPm7F4AIA9yM01x5QUv37720y7YYAoR1EC0DRGjZKysyVJi9RHXtVKcjRcL6j0uCHSiBFW4wFASMrJMbdSSE7WT+2O15Yt5oqIYcM2yOPh1zTAJv4FAmg6eXlSbq5SMlvpxdgRklwFFKNDV822nQwAQk92trmFwpo1Unm5Rm94UMF7J02dGm87HRD1KEoAmtaIEVJBgS6sfkFDhpiHVq3yaty4Wru5ACCU5ORIn3++w0Nf6reSpIP0o9q+/46FUAC2R1EC0Gw++shRcrIZFz51qleLF9tOBAAh4vbbd3jzGY2SXzGSXM3QDdxSAQgBFCUAzWr+fLONRHI0YIDfdhwACA3FxTu8eZfukyTFqVpD9dFOzwNoeRQlAM2qTx/p//7PlKXycq9OOokteACw/S0TKhSnNcqSJJ2mD+TUex6AHRQlAM3uoYekbt3MJKdPP/XqpZci/j7XALBnW2+pIElX6WkFhzg8q5HmQW6pAFjnuK4b8b+xNPTuuwCaT2mplJ7uKhBw5PG4KilxlJJiOxUAWDRokN6fm6Sz9Z4C8qqt1mu9OsjJzjZTRAE0i4Z2A1aUALSIlBTphRfMK6aBgKNDD2ULHoDo9vvMPJ2p2QrIK8nV/cn3y8nNpSQBIYKiBKDFXHyxdNJJZhF71SqvbrmFsgQg+hQVSe3aSS+/LEmOHMfVnXeu0BjfdG7ODYQQihKAFvXxxx4lJZkpeA8/7NUPP9hOBAAt5+mnpQ4dpA0bzNutWtVowYIC3Xtvd3k8/FoGhBL+RQJocV9+WTcyvH9/RoYDiHx+vzRokHTVVa7M1eGuTjttgwoKatWvX2fb8QDsAkUJQIvr00caN65uZPjJJ7MFD0Dk+uEHKS1NmjtXkhx5vQE9+ugvev/9NkpMTLQdD8BuUJQAWDFlitSlizn/5BOvXn014gdwAohCd94pHXqoVF4uSa66dKnUL79s1DXX9JTjOLbjAdgDihIAa77/3owKlxxdfLEZIQ4AkaC6WurdW7r//uCLQK5GjCjU8uVede3azmo2AA1DUQJgTUqK9Pe/140M79OHLXgAwt8nn0jJydKPP0qSo/h4v95++1fl5nZSbGys7XgAGoiiBMCqSy+VBg82r7j++qtXt95KWQIQvkaNkk4+WaqtlSRXhx++RWvWlOrssw+wGwzAPqMoAbDu3/+uGxn+0EOMDAcQfjZtkjp2lHJzzduO4+q2237Vt98mqXXrdLvhADQKRQmAdV6v9MUXdSPDjz6akeEAwsesWeYGsuvWmbfT0mr01VerNHnyAfJ6vXbDAWg0ihKAkNC3r3TTTaYslZV5deqpbMEDEPqGDJFGjnQVCEiSqxNP3KS1a2vUv39X29EA7CeKEoCQMXWq1HnrfRc/+sir119nZDiA0LR8uZSaKn38sSSZCZ7Tpv2ijz9upaSkJNvxADQBihKAkLJ4cd3I8AsvlCoqbCcCgB3df7904IHBWxq4ysys1PLl63XjjdwbCYgkFCUAISU9XcrNrRsZfuihbMEDEBr8funww6U776y7N9Ill6xXfr5HBxzQwWo2AE2PogQg5Fx2mTRokPlFZMUKr26/nbIEwK5586SkJGnxYklyFBcX0Cuv5OuFFzooLi7OdjwAzYCiBCAkffKJR4mJZgveX/7i1U8/2U4EIFr96U/SwIFSdbUkuTrkkFKtWePTBRf0sB0NQDOiKAEISV6vNH9+3cjwI48M2I4EIMqUlJgBM08+WbfV7qabVmnRokS1aZNhMxqAFkBRAhCy+vaVbrghODLco6FD2YIHoGW88orUurVUUCBJjlJSajVvXoGmTu3KvZGAKEFRAhDSZsyQsrLM+YcfMjIcQPM76yzpoovq7o00cOBmFRZW6bjjOtuOBqAFUZQAhLwlSxgZDqD5rVwpZWRI770nBe+N9NBDvygvL0PJycmW0wFoaRQlACEvPV167rm6keGHHcYWPABN6+GHpW7dzHVJkqv27av044/r9H//x72RgGhFUQIQFkaMkAYONNvu8vO9uuMOyhKAfZSTY/byJiebY06O/H7pyCOlW26pG9hw3nlFWrlSOvDAjjbTArDMcV034jf8+3w+paenq6SkRGlpabbjAGgkv19KSXFVWWlWl5Ytc9Szp+1UAMJCdrb0+ec7PPSVjtIgZ56q3HhJUmxsQDk5K3TppYz9BiJZQ7sBK0oAwobXK33xRd3I8H79/LYjAQgHOTk7laSxmqYB+nprSXJ14IHlKigopiQB2IaiBCCs9OsnXXedKUulpV6dcUaN7UgAQt3tt287LVWiDlC+/qaxksz3knsT79cPP8SpXbvW1iICCD0UJQBhZ+ZMKTPTnM+eHaO33or4HcQA9kdxsSTpYd2kdG3RrzpAkqM0lehn9dCdzgOKiYmxmRBACKIoAQhL339fNzL8/PNdRoYD2K385MPUSQW6RQ8rIK8kV6fqA5UoQwdqhZkJDgD1UJQAhKX0dOmZZ8y2Gb/foz59mIIHYGcXXyz1KPpShcqU5ChB5XpPp+tfOr3unSZPtpYPQOiiKAEIW6NGSccdZ7bd/fKLV3fdRVkCYLz7rpSQIP3zn1LwWqTf6x8qV7LO0L/q3jE729x/AADqoSgBCGt5eR4lJJgtePfd59Xy5bYTAbCptFQ6/HDp7LNdVVVJkqu2bauVl7daL+b65WRmSklJ5kLH3FwpL892ZAAhiqIEIKx5vdLnn9eNDP/NbxgZDkSriROltDRp8WJJMtcx3nTTKq1Z4yg7u4tZOSookMrKzJGVJAB7QFECEPaOOkq69lpTlrZs8erMMxkZDkSTxYultm2le+915bqS5KpPn1KtWrVRU6d2VWxsrO2IAMIQRQlARHjkEalTJ3P+/vsxeucdRoYDkc7vl846y2y127hRkhwlJvqVk5Ov775LVmZmW9sRAYQxihKAiLF4sSPHMVvwhg1zVV1tOxGA5vLyy+ZSo/feCz7iatiw9dqwoUojR/aQ4zg24wGIABQlABGjdWvp6afrRoYfdhhT8IBIU1IiHXSQ9PvfB18McdWxY5X++9/Vev319kpKSrIdEUCEoCgBiChXXikde6zZdrdsmVf33ENZAiLFLbdIrVpJP/8sSY683oD+/OcVWrXKq6OO6mI7HoAI47iuG/Eb+X0+n9LT01VSUqK0tDTbcQA0M79fSk52VVVlVpd++cVR9+62UwForG++kU4+2awmGa7699+i2bP9atu2lc1oAMJQQ7sBK0oAIo7XK82bVzcy/IgjGBkOhCO/XzrpJKl/f3dbSUpJqdUrr6zQV1+lUpIANCuKEoCIdNRR0h//WDcy/HcJ70vJyVJWlpSTYzsegL14+mkpIUH69FNJMv+Whw8vVFFRrS64oDvDGgA0O7beAYhoneI2qLCmrSRX7+p0nal/mSeys6W8PKvZAOyssFD67W+lX381K8KSq65dK/Xee5vVp0+m7XgAIgBb7wAgJ0dLag6UI78kR2fpfc3SZea5uXOlWbOsxgOwo6uuMvdD+/VXSXIUExPQX/6Sr19+iaMkAWhxFCUAkev229VaJcrRKJnrlTwaqVm6XjPM8xMmWAwHICgvT0pJMdvtDFfZ2Zu1bt0WTZjQQ16v12Y8AFGKogQgchUXS5JG6Hl9qCHybF1ZekTXK1ufbXsegB3V1dKAAdIJJ7gqK5MkV+npNZo9e4Xy8lqpdet02xEBRDGKEoDIlZGx7fQUfaKV6qxElUly9LkGqVPlL6qosJYOiGpTp0qJidJXX0mSI8dxNWbMGq1bF9BppzHPH4B9FCUAkWvSpB3ezFKhipWurlohSSoMdFBGhqvlyy1kA6JUfr6UmSmNG+cqEJAkVwceWK6ff16vp57KUnx8vO2IACCJogQgko0aZabbbSdOfv2q7jol/UtJrqqrHfXq5ertt60kBKLKpZdKPXpIa9dKkqO4uIBmzMjXjz8mqGfPDrbjAcAOKEoAIltenpSba17CTkoyx9xcfVg8QOPHByS5cl1H557r6s47bYcFItP775ttdi++GHzE1amnbtSGDWW64YYe8nj4dQRA6OE+SgCi2muvSRdeaMqS5GroUFcffMAvbUBTqKgw90T67ru6eyK1aVOj118v1KBBXW3HAxCluI8SADTA+edLS5c6io0NSHL0r3951K1bQH6/7WRAeJt3+7tKTarVd99JkiOPE9DYsau1dq1DSQIQFihKAKLeQQdJJSUetWtn2tHKlR6lpQVUUGA5GBCmcnpN0sC/nCm/YiS5OlpfqtyN0/QFwxUbG2s7HgA0CEUJAGSun1i/3qtjjqmV5Kq83KOuXV198ontZEB4ufWM7zR62Z8V3Gr3lMboK/1W8fJLc+dKs2bZjggADUJRAoDtfPlljK66ygx5CAQcnXyyq4cftp0KCA/nnis9NPtwSY488utTDdYYPbPjO02YYCUbAOwrihIA1PPkk149+6wkmQvQb7nF1UUXBSynAkLb4YdLb79t/s3EqVLL1EODlbfzOxYXt3Q0AGgUihIA7MLo0Y6+/daR12t+8XvlFUeHHMKQB6C+igqpXTtp8WJJctTa2aTNSld3rdz1B2RktGA6AGg8ihIA7Ea/ftLGjY7S0vySHC1d6lHr1gFt2mQ7GRAaVq6UWrWSNmwwb3fvXqEVf3tZSare/QdNntwy4QBgP1GUAGAP0tOlTZu8OvRQvyRXPp9H7du7+uor28kAu+bNk7p3l6qqJMnV8ccX6/vvHaVed7WUnb3rD8rOlkaMaMmYANBoFCUA2AuvV1qyxKtLLjFDHvx+RwMGuHr6advJADueeUYaOFAKBCTJ1fDh6/TZZ6lKSEgw75CXJ+XmSpmZUlKSOebmmscBIEw4ruu6tkM0t4befRcA9mbatIBuvtlRcPTxlVdK/+//ObZjAS1m/Hjpr3811+5Jrv785xW6//4D5Dj8OwAQHhraDVhRAoB9cNNNHn32mSOPx/yi+MwzUv/+TMRDdDj33LqS5DiunnnmF02a1J2SBCAiUZQAYB8NGiQVFDhKSgpIcvTNNx61axdQaantZEDz8Pt3HP8dGxvQZ5+t1hVX9LQdDQCaDUUJABqhY0fJ5/Ooe3czL3zDBo9at3b1ww+WgwFNrKJC6tChbvx3WlqNfv55g7Kzu9iOBgDNiqIEAI3k9Uq//OLVmWfWSnJVU+PosMNcvfyy7WRA0wiO/9640bzdvXuFVqyoULdu7e0GA4AWQFECgP307rsxuvtuMxHPdR39/veuxo2L+Dk5iHB5eTuO/x44cLO+/95Rq1YMRQIQHShKANAEJk706r33zAXukqOpU6UTT2TIA8LTM89IJ5yw4/jvOXPS6sZ/A0AUoCgBQBM54wxp+XJH8fFmyMOcOR5lZQVUXW07GdBwt9wi/eEPwRVRV3feuUJ//3sHeb1eq7kAoKVRlACgCXXvboY8dOxohjysWeNRerqr/HzLwYAGOOss6eGH68Z/5+Tk6957Gf8NIDpRlACgicXFSWvXepWdbYY8VFY66tnT1fvv204G7JrfLx16qPTee1Jw/Pfcuas1cmQP29EAwBqKEgA0k7y8GI0d61dwyMOZZ7q67z7bqYAdBcd/B0fbp6eb8d/HH8/4bwDRjaIEAM1o+vQYPf+8JJntTHfd5ercc/2WUwFG/fHfPXqUKz+f8d8AIFGUAKDZDR/uaNEiRzExZsjD2297deCBAfnpS7Co/vjv7OzNWrLEw/hvANiKogQALaBPH2nzZo9atzbtaPlyj9LTAyoqshwMUenpp3ce//3pp4z/BoDtUZQAoIWkpEgbN3rVr5+5bqmszKNOnVx9843tZIgmN98sXXUV478BYG8oSgDQwr791qsrrghIcuX3O+rf39Vrr9lOhWhw1lnStGmM/waAhqAoAYAFzzzj1cMPS8EhDxdc4OrBBy2HQvjKyZGysqTkZHPMydnhab9fOuSQHcd/f/55AeO/AWAPHNd13b2/W3jz+XxKT09XSUmJ0tK4SBVA6Hj3Xemcc8z4cMnV6NGunn2W17CwD7Kzpc8/3/XjeXmqqJA6d5Y2bTIPp6fX6H//28xkOwBRq6HdgJ/GAGDRWWdJCxc68nrNytJzzzk64YSA7VgIFzk5uy5JkjR3rvIfflUZGcGS5KpnT8Z/A0BDUZQAwIbttkr1PT1Lax9+UYmJZnx4Xp5HPXsyPhwNcPvtu31qjgbpwFuGqbpaMuO/i7VkiZfx3wDQQBQlAGhp2dnS6NHSmjVSebm0Zo3a3Thcxb85WR06mHb0yy8etW0bUGmp5awIbcXFu3z4aV2pEzVHAXklubr8cjP+Oz4+vkXjAUA4oygBQEvaw1apuP/MUeFD/1DfvmZ8eHGxR23auMrPb9GECCcZGTs9dKMe1lV6WpK57u3OO1coN5fx3wCwryhKANCS9rBVSpI0YYL+9z+vzjnHjA+vrnZ04IGu5s1rkXQIN5Mm7fDm6XpPM3STJEce+fX6mFmM/waARqIoAUBL2s1WqfrPv/WWV+PGmbIUCDgaONDV8883dziEnVGjpOxsfaWj1FW/6gOdIclRvCr0Q99zNOypkbYTAkDYoigBQEvaxVap3T0/ZYpXTz0lBe+1dPnlru64I+Lv6IAG8vul66+Xkr/J0wB9rVXqKklq42zQiinP6aD/vWc5IQCEN4oSALSkeluldjJ58g5vjhnj6OOPHTmOKUuTJkm//z3jw6PZ/PlSnz5STIz0yCNmHohkvkaOPrpE+SXx6jjuGtsxASDsUZQAoCVt3Sq1S9nZ0ogROz180knS0qWOYmJMWXr5ZUfHHENZiibbVo+SpWOPdbVkSfAZVykptRozpkDFxVv01VfpSk1NtRkVACIGRQkAWlpenpSbK2VmSklJ5pibax7fjYMOkjZscJSSYu619PXXHnXuzL2WIt38+dKhh+569eiww0r173+vUkmJR089lbXHu8sDAPad47puxG949/l8Sk9PV0lJCT9IAIQ1v1864AC/Vq82o55TUgJavdqj9HTLwdBk/H5p7Fjpueek8nKzimi4Sknx67LL1unBB1P5eQYAjdTQbsCKEgCEEa9XWrXKq2OOqZXkqrTUo7ZtXf30k+1k2F/brx49+uiOq0d9+tStHj3+OKtHANASKEoAEIa+/DJm61AHV7W1jnr3dvXRR7ZTYV/5/dI119Rde/TDD8FnXKWm1upPfypQSUmpFi1K0cknd5XHw49tAGgpfMcFgDD14oteTZzoSnLluo5OPdXV44/bThUFcnKkrCzTbrKyzNv7aN486ZBDzOrR44/vvHr06aerVFxsVo8YzgAAdnCNEgCEuRdekIYPD17L4uqmm6SpU529fRgaIztb+vzzXT++h2EcUt3kupwcqaJix2uPUlNrt157xNQ6AGhuXKMEAFHi0kulL75w5PGYX76nTZPOPptxeE0uJ2fXJUmS5s6VZs3a5VP1V48qKqTg6tHhh2/RnDmrVVzs1WOPdaYkAUAIYUUJACLEypVSr14BVVd7JLk6/HBX333H62FNJitLWrNm989nZkoFBZLM6tG115rutPPqkV+XX16oBx5g9QgAbGBFCQCiTNeuUnGxRxkZfkmOFi3yqEOHgKqrbSeLEMXFe30+L69u9ejJJ3e3euTRo4+yegQAoY6iBAARJDFR2rDBq549zda79es9ysgIqKjIcrDGaoLBCU0mI2OXD1fLq6v0uJLKi3TCCa6WLg0+4yotrUbXXrtKJSWl+u67VJ1wQhcm1wFAmOC7NQBEGK9XWrbMqxNO8EtyVVHhUadOrr77bi8fGEqlRDIDEkaPNtvdysvNcfRoadAgO3kmTdrhzTwdr976XvGq0dP6kyqUpODq0RFHbFFe3mpt3uzVI490YfUIAMIQRQkAItScOV794Q/mXkt+v6N+/Vy9/fZu3jnUSkkjByc0h+pq6Y03pDHzRql/8vdqr0LFqUonaK5+1CEKThsMrh75fGVauDBV2dmsHgFAOGOYAwBEuIceCujWWx0Ff6GfMsXRuHHbvUNOjilFu5ObK40Y0bwh69uHwQlNwe83/evNN6Wvv5by86VNm0xJMj8mdz1u3SO/juyyWtNe8Oq44zIpRgAQBhraDShKABAF3nhDOu+8unst/fGP0hNPbP3lv4VLSYMkJwfvwrprSUlSWdk+f9qFC6XXXpP+8x9p2TJpwwapslIKBHZfhgzzozI21lVKil+dOlXp9NOLdffdGUpJSdnnHAAAexraDWJaMBMAwJJhw6Rvv3V01FGuAgFHTz7patmygP79b0+Dprm1uIyMPRel3QxWkMxq0D//aVaIli6V1q83nWrPZcgUSEmKiXGVnOxX+/bV6tWrQieeWKPzz49RZmaa4uPjZXatx0qiIAFAJKMoAUCU6NdPKix01LVrQJWVHn38saNevQJampohbyNLSbOZNGmP2wGLbntYrz4uffKJtHixVFgolZZKtbV7K0OS5MrjkZKS/GrbtkY9elRo4MBqXXih1LNnuhITE1VXhpKb9D8LABA+KEoAEEXatZNKSjzq3NmvoiKvli3zqH3Scq1WuhK1mxsuTZ7cohn9fumnAaP07cErtOTHGC1XDy3VIVqtLvIpTTWKlW7Y3UfvWIbi4wNq06ZG3bpV6uijK3XBBdIRR6QoOTlZjhMj82MwsUX+uwAA4YWiBABRJi5OWr/eq8MO8+v77z3aVJ6gVo5Py90DlKXCHd85O3u/BzlUVJgBCd99J/34o7RihVkB2rhR8vnM89XVpiDVXTbrSLp7L5/ZleOYMpSRUasuXSp1xBGVGjYsoIEDk5WSkiKPxyvJKylhv/4bAADRh6IEAFFqyRKvzjjDr9mzPapy49XVKdC81mfrtxVzzHa7yZN3WZIKCqRvvjHFZ9kyafVqad06afNms/2tslKqrTXFJ3jdz54HJWxv+/czH+s4ZohCamqtMjOr1KdPhc4806+hQxPUqlWavN5gGYqXlN64/zEAAKiHqXcAEOXGjvXrb3/zKDjQ4Le/dbRxo1RSYuYpVFeb4hMISKa8NLT01Gd+3Hg8ZmBCXFxAiYkBpaXVqlWrWnXsWKPu3f069FBXRx8tHXhgghISEhQXFyfHaezfCQDAjph6BwBokBkzvDr4YFfXXmtK0Pz5e3rvumuAJLPa4/G4iolxlZAQUHKyX2lpfrVtW62sLL969Qro8MNdHXOMV23bmuITExOz9fME7zkU11z/aQAANBpFCQCga65x1LOndN55flVXO4qLc5WY6Fdysl+tWtWqffsade3qV+/eAfXv76hPn1glJycoPj5+u5usemUmxUlMiwMAhDuKEgBAkjR0qFRW5t3uEe9u3xcAgEjn2fu7AAAAAEB0oSgBAAAAQD0UJQAAAACoh6IEAAAAAPVQlAAAAACgHooSAAAAANQTNkXp0Ucf1QEHHKCEhAQNGDBAX331le1IAAAAACJUWBSll19+WTfffLMmTpyoBQsW6IgjjtDQoUO1fv1629EAAAAARKCwKEpTp07VmDFjNHr0aB166KF64oknlJSUpGeffdZ2NAAAAAARKOSLUnV1tb755hsNGTJk22Mej0dDhgzRF198scuPqaqqks/n2+EPAAAAADRUyBelDRs2yO/3q0OHDjs83qFDBxUWFu7yYyZPnqz09PRtf7p06dISUQEAAABEiJAvSo0xYcIElZSUbPuzatUq25EAAAAAhJEY2wH2pm3btvJ6vVq3bt0Oj69bt04dO3bc5cfEx8crPj6+JeIBAAAAiEAhv6IUFxeno446Sh9//PG2xwKBgD7++GMde+yxFpMBAAAAiFQhv6IkSTfffLNGjhyp/v3765hjjtH06dNVVlam0aNH244GAAAAIAKFRVG6+OKLVVRUpLvuukuFhYXq16+fPvjgg50GPAAAAABAU3Bc13Vth2huPp9P6enpKikpUVpamu04AAAAACxpaDcI+WuUAAAAAKClUZQAAAAAoB6KEgAAAADUQ1ECAAAAgHooSgAAAABQD0UJAAAAAOqhKAEAAABAPRQlAAAAAKiHogQAAAAA9VCUAAAAAKAeihIAAAAA1ENRAgAAAIB6KEoAAAAAUA9FCQAAAADqoSgBAAAAQD0xtgO0BNd1JUk+n89yEgAAAAA2BTtBsCPsTlQUpS1btkiSunTpYjkJAAAAgFCwZcsWpaen7/Z5x91blYoAgUBAa9asUWpqqhzHsR0HDeDz+dSlSxetWrVKaWlptuMgAvA1habE1xOaEl9PaGp8Te2Z67rasmWLMjMz5fHs/kqkqFhR8ng86ty5s+0YaIS0tDT+gaNJ8TWFpsTXE5oSX09oanxN7d6eVpKCGOYAAAAAAPVQlAAAAACgHooSQlJ8fLwmTpyo+Ph421EQIfiaQlPi6wlNia8nNDW+pppGVAxzAAAAAIB9wYoSAAAAANRDUQIAAACAeihKAAAAAFAPRQkAAAAA6qEoIaxUVVWpX79+chxHCxcutB0HYWjFihW68sor1b17dyUmJqpnz56aOHGiqqurbUdDmHj00Ud1wAEHKCEhQQMGDNBXX31lOxLC1OTJk3X00UcrNTVV7du31+9+9zv9+OOPtmMhQjzwwANyHEc33nij7Shhi6KEsDJ+/HhlZmbajoEwtnTpUgUCAT355JNasmSJpk2bpieeeEJ//vOfbUdDGHj55Zd18803a+LEiVqwYIGOOOIIDR06VOvXr7cdDWHos88+07XXXqv58+fro48+Uk1NjU499VSVlZXZjoYw9/XXX+vJJ59U3759bUcJa4wHR9iYPXu2br75Zr322ms67LDD9O2336pfv362YyEC/PWvf9Xjjz+uX375xXYUhLgBAwbo6KOP1iOPPCJJCgQC6tKli66//nrddtttltMh3BUVFal9+/b67LPPNGjQINtxEKZKS0t15JFH6rHHHtP999+vfv36afr06bZjhSVWlBAW1q1bpzFjxujvf/+7kpKSbMdBhCkpKVHr1q1tx0CIq66u1jfffKMhQ4Zse8zj8WjIkCH64osvLCZDpCgpKZEkvh9hv1x77bU688wzd/hehcaJsR0A2BvXdTVq1Cj96U9/Uv/+/bVixQrbkRBBli1bppkzZ2rKlCm2oyDEbdiwQX6/Xx06dNjh8Q4dOmjp0qWWUiFSBAIB3XjjjTr++OPVp08f23EQpl566SUtWLBAX3/9te0oEYEVJVhz2223yXGcPf5ZunSpZs6cqS1btmjChAm2IyOENfTraXsFBQU67bTTdOGFF2rMmDGWkgOAWQVYvHixXnrpJdtREKZWrVqlsWPH6h//+IcSEhJsx4kIXKMEa4qKirRx48Y9vk+PHj100UUX6Z133pHjONse9/v98nq9Gj58uHJzc5s7KsJAQ7+e4uLiJElr1qzR4MGD9dvf/lY5OTnyeHjdCHtWXV2tpKQkvfrqq/rd73637fGRI0equLhYb731lr1wCGvXXXed3nrrLeXl5al79+624yBMvfnmmxo2bJi8Xu+2x/x+vxzHkcfjUVVV1Q7PYe8oSgh5K1eulM/n2/b2mjVrNHToUL366qsaMGCAOnfubDEdwlFBQYFOPPFEHXXUUXr++ef5wYEGGzBggI455hjNnDlTktku1bVrV1133XUMc8A+c11X119/vd544w3NmTNHvXr1sh0JYWzLli369ddfd3hs9OjR6t27t2699Va2dDYC1ygh5HXt2nWHt1NSUiRJPXv2pCRhnxUUFGjw4MHq1q2bpkyZoqKiom3PdezY0WIyhIObb75ZI0eOVP/+/XXMMcdo+vTpKisr0+jRo21HQxi69tpr9cILL+itt95SamqqCgsLJUnp6elKTEy0nA7hJjU1dacylJycrDZt2lCSGomiBCCqfPTRR1q2bJmWLVu2U9FmgR17c/HFF6uoqEh33XWXCgsL1a9fP33wwQc7DXgAGuLxxx+XJA0ePHiHx5977jmNGjWq5QMB2AFb7wAAAACgHq5eBgAAAIB6KEoAAAAAUA9FCQAAAADqoSgBAAAAQD0UJQAAAACoh6IEAAAAAPVQlAAAAACgHooSAAAAANRDUQIAAACAeihKAAAAAFAPRQkAENFefPFFJSYmau3atdseGz16tPr27auSkhKLyQAAocxxXde1HQIAgObiuq769eunQYMGaebMmZo4caKeffZZzZ8/X1lZWbbjAQBCVIztAAAANCfHcTRp0iRdcMEF6tixo2bOnKm5c+dSkgAAe8SKEgAgKhx55JFasmSJPvzwQ51wwgm24wAAQhzXKAEAIt4HH3ygpUuXyu/3q0OHDrbjAADCACtKAICItmDBAg0ePFhPPvmkcnJylJaWpldeecV2LABAiOMaJQBAxFqxYoXOPPNM/fnPf9Yll1yiHj166Nhjj9WCBQt05JFH2o4HAAhhrCgBACLSpk2bdNxxx2nw4MF64okntj1+5plnyu/364MPPrCYDgAQ6ihKAAAAAFAPwxwAAAAAoB6KEgAAAADUQ1ECAAAAgHooSgAAAABQD0UJAAAAAOqhKAEAAABAPRQlAAAAAKiHogQAAAAA9VCUAAAAAKAeihIAAAAA1ENRAgAAAIB6KEoAAAAAUM//B/PZaloslyERAAAAAElFTkSuQmCC"
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/plain": "<Figure size 1000x1000 with 1 Axes>",
"image/png": 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"
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"gp_linear.plot(X_3D_star, y_star_linear, var_linear)\n",
"gp_poly.plot(X_3D_star, y_star_poly, var_poly)\n",
"gp_periodic.plot(X_3D_star, y_star_periodic, var_periodic)\n",
"gp_rbf.plot(X_3D_star, y_star_rbf, var_rbf)"
],
"metadata": {
"collapsed": false
}
},
{
"cell_type": "markdown",
"source": [
"Compare the results with the results of the scikit-learn implementation of Gaussian Processes"
],
"metadata": {
"collapsed": false
}
},
{
"cell_type": "code",
"execution_count": 158,
"outputs": [],
"source": [
"#import the scikit-learn implementation of Gaussian Processes\n",
"# TODO\n"
],
"metadata": {
"collapsed": false
}
},
{
"cell_type": "code",
"execution_count": 159,
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/home/liger/PycharmProjects/ML_course/venv/lib/python3.8/site-packages/sklearn/gaussian_process/kernels.py:420: ConvergenceWarning: The optimal value found for dimension 0 of parameter length_scale is close to the specified lower bound 1e-05. Decreasing the bound and calling fit again may find a better value.\n",
" warnings.warn(\n"
]
}
],
"source": [
"# Fit the sklearn model\n",
"# TODO\n",
"\n",
"# Fit the custom model\n",
"gp_rbf.fit(X_1D, y_1D)"
],
"metadata": {
"collapsed": false
}
},
{
"cell_type": "markdown",
"source": [
"### Predict the values of the test data"
],
"metadata": {
"collapsed": false
}
},
{
"cell_type": "code",
"execution_count": 160,
"outputs": [],
"source": [
"# Predict the mean and variance of the test data using the scikit-learn implementation\n",
"y_star, var = None, None # TODO\n",
"# Predict the mean and variance of the test data using the custom implementation\n",
"y_star_rbf, var_rbf = gp_rbf.predict(X_1D_star)"
],
"metadata": {
"collapsed": false
}
},
{
"cell_type": "markdown",
"source": [
"Plot the results comparing with the results of the scikit-learn with the ccustom implementation of Gaussian Processes using the RBF kernel"
],
"metadata": {
"collapsed": false
}
},
{
"cell_type": "code",
"execution_count": 161,
"outputs": [
{
"data": {
"text/plain": "<matplotlib.legend.Legend at 0x7ff0dc579580>"
},
"execution_count": 161,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"text/plain": "<Figure size 1000x600 with 1 Axes>",
"image/png": 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"
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(10, 6))\n",
"plt.plot(X_1D, y_1D, \"o\", label=\"data\")\n",
"\n",
"plt.plot(X_1D_star, y_star, \"-\", label=\"prediction(scikit-learn)\")\n",
"plt.plot(X_1D_star, y_star_rbf, \"--\", label=\"prediction(custom)\")\n",
"\n",
"plt.xlabel(\"x\")\n",
"plt.ylabel(\"y\")\n",
"plt.legend(loc=\"best\")\n",
"\n"
],
"metadata": {
"collapsed": false
}
},
{
"cell_type": "markdown",
"source": [
"# Bonus: Use the Gaussian Process to fit any dataset of your choice"
],
"metadata": {
"collapsed": false
}
},
{
"cell_type": "markdown",
"source": [],
"metadata": {
"collapsed": false
}
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 2
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython2",
"version": "2.7.6"
}
},
"nbformat": 4,
"nbformat_minor": 0
}