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hands-on/08_dimensionality_reduction.ipynb
2017-06-24 17:23:47 +02:00

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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Chapter 8 Dimensionality Reduction**"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"_This notebook contains all the sample code and solutions to the exercices in chapter 8._"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Setup"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"First, let's make sure this notebook works well in both python 2 and 3, import a few common modules, ensure MatplotLib plots figures inline and prepare a function to save the figures:"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"# To support both python 2 and python 3\n",
"from __future__ import division, print_function, unicode_literals\n",
"\n",
"# Common imports\n",
"import numpy as np\n",
"import os\n",
"\n",
"# to make this notebook's output stable across runs\n",
"np.random.seed(42)\n",
"\n",
"# To plot pretty figures\n",
"%matplotlib inline\n",
"import matplotlib\n",
"import matplotlib.pyplot as plt\n",
"plt.rcParams['axes.labelsize'] = 14\n",
"plt.rcParams['xtick.labelsize'] = 12\n",
"plt.rcParams['ytick.labelsize'] = 12\n",
"\n",
"# Where to save the figures\n",
"PROJECT_ROOT_DIR = \".\"\n",
"CHAPTER_ID = \"dim_reduction\"\n",
"\n",
"def save_fig(fig_id, tight_layout=True):\n",
" path = os.path.join(PROJECT_ROOT_DIR, \"images\", CHAPTER_ID, fig_id + \".png\")\n",
" print(\"Saving figure\", fig_id)\n",
" if tight_layout:\n",
" plt.tight_layout()\n",
" plt.savefig(path, format='png', dpi=300)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Projection methods\n",
"Build 3D dataset:"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"np.random.seed(4)\n",
"m = 60\n",
"w1, w2 = 0.1, 0.3\n",
"noise = 0.1\n",
"\n",
"angles = np.random.rand(m) * 3 * np.pi / 2 - 0.5\n",
"X = np.empty((m, 3))\n",
"X[:, 0] = np.cos(angles) + np.sin(angles)/2 + noise * np.random.randn(m) / 2\n",
"X[:, 1] = np.sin(angles) * 0.7 + noise * np.random.randn(m) / 2\n",
"X[:, 2] = X[:, 0] * w1 + X[:, 1] * w2 + noise * np.random.randn(m)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## PCA using SVD decomposition"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"X_centered = X - X.mean(axis=0)\n",
"U, s, V = np.linalg.svd(X_centered)\n",
"c1 = V.T[:, 0]\n",
"c2 = V.T[:, 1]"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"m, n = X.shape\n",
"\n",
"S = np.zeros(X_centered.shape)\n",
"S[:n, :n] = np.diag(s)"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"True"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"np.allclose(X_centered, U.dot(S).dot(V))"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [],
"source": [
"W2 = V.T[:, :2]\n",
"X2D = X_centered.dot(W2)"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"X2D_using_svd = X2D"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## PCA using Scikit-Learn"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"With Scikit-Learn, PCA is really trivial. It even takes care of mean centering for you:"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [],
"source": [
"from sklearn.decomposition import PCA\n",
"\n",
"pca = PCA(n_components = 2)\n",
"X2D = pca.fit_transform(X)"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([[ 1.26203346, 0.42067648],\n",
" [-0.08001485, -0.35272239],\n",
" [ 1.17545763, 0.36085729],\n",
" [ 0.89305601, -0.30862856],\n",
" [ 0.73016287, -0.25404049]])"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"X2D[:5]"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([[-1.26203346, -0.42067648],\n",
" [ 0.08001485, 0.35272239],\n",
" [-1.17545763, -0.36085729],\n",
" [-0.89305601, 0.30862856],\n",
" [-0.73016287, 0.25404049]])"
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"X2D_using_svd[:5]"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": true
},
"source": [
"Notice that running PCA multiple times on slightly different datasets may result in different results. In general the only difference is that some axes may be flipped. In this example, PCA using Scikit-Learn gives the same projection as the one given by the SVD approach, except both axes are flipped:"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"True"
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"np.allclose(X2D, -X2D_using_svd)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Recover the 3D points projected on the plane (PCA 2D subspace)."
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"X3D_inv = pca.inverse_transform(X2D)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Of course, there was some loss of information during the projection step, so the recovered 3D points are not exactly equal to the original 3D points:"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"False"
]
},
"execution_count": 13,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"np.allclose(X3D_inv, X)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We can compute the reconstruction error:"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.01017033779284855"
]
},
"execution_count": 14,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"np.mean(np.sum(np.square(X3D_inv - X), axis=1))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The inverse transform in the SVD approach looks like this:"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [],
"source": [
"X3D_inv_using_svd = X2D_using_svd.dot(V[:2, :])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The reconstructions from both methods are not identical because Scikit-Learn's `PCA` class automatically takes care of reversing the mean centering, but if we subtract the mean, we get the same reconstruction:"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"True"
]
},
"execution_count": 16,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"np.allclose(X3D_inv_using_svd, X3D_inv - pca.mean_)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The `PCA` object gives access to the principal components that it computed:"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([[-0.93636116, -0.29854881, -0.18465208],\n",
" [ 0.34027485, -0.90119108, -0.2684542 ]])"
]
},
"execution_count": 17,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"pca.components_"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Compare to the first two principal components computed using the SVD method:"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([[ 0.93636116, 0.29854881, 0.18465208],\n",
" [-0.34027485, 0.90119108, 0.2684542 ]])"
]
},
"execution_count": 18,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"V[:2]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Notice how the axes are flipped."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now let's look at the explained variance ratio:"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([ 0.84248607, 0.14631839])"
]
},
"execution_count": 19,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"pca.explained_variance_ratio_"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The first dimension explains 84.2% of the variance, while the second explains 14.6%."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"By projecting down to 2D, we lost about 1.1% of the variance:"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.011195535570688975"
]
},
"execution_count": 20,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"1 - pca.explained_variance_ratio_.sum()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Here is how to compute the explained variance ratio using the SVD approach (recall that `s` is the diagonal of the matrix `S`):"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([ 0.84248607, 0.14631839, 0.01119554])"
]
},
"execution_count": 21,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"np.square(s) / np.square(s).sum()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Next, let's generate some nice figures! :)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Utility class to draw 3D arrows (copied from http://stackoverflow.com/questions/11140163)"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"from matplotlib.patches import FancyArrowPatch\n",
"from mpl_toolkits.mplot3d import proj3d\n",
"\n",
"class Arrow3D(FancyArrowPatch):\n",
" def __init__(self, xs, ys, zs, *args, **kwargs):\n",
" FancyArrowPatch.__init__(self, (0,0), (0,0), *args, **kwargs)\n",
" self._verts3d = xs, ys, zs\n",
"\n",
" def draw(self, renderer):\n",
" xs3d, ys3d, zs3d = self._verts3d\n",
" xs, ys, zs = proj3d.proj_transform(xs3d, ys3d, zs3d, renderer.M)\n",
" self.set_positions((xs[0],ys[0]),(xs[1],ys[1]))\n",
" FancyArrowPatch.draw(self, renderer)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Express the plane as a function of x and y."
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {},
"outputs": [],
"source": [
"axes = [-1.8, 1.8, -1.3, 1.3, -1.0, 1.0]\n",
"\n",
"x1s = np.linspace(axes[0], axes[1], 10)\n",
"x2s = np.linspace(axes[2], axes[3], 10)\n",
"x1, x2 = np.meshgrid(x1s, x2s)\n",
"\n",
"C = pca.components_\n",
"R = C.T.dot(C)\n",
"z = (R[0, 2] * x1 + R[1, 2] * x2) / (1 - R[2, 2])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Plot the 3D dataset, the plane and the projections on that plane."
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Saving figure dataset_3d_plot\n"
]
},
{
"data": {
"image/png": 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JtLmILFAChA8eycAOL9wqVWJtrlpQAPiq69lS/YJlWRw+fBitra18TpVwIiXjkgkz/DgK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\nMmTI8Ej8fw0Tjp4yhaHFAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f2f834fc630>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from mpl_toolkits.mplot3d import Axes3D\n",
"\n",
"fig = plt.figure(figsize=(6, 3.8))\n",
"ax = fig.add_subplot(111, projection='3d')\n",
"\n",
"X3D_above = X[X[:, 2] > X3D_inv[:, 2]]\n",
"X3D_below = X[X[:, 2] <= X3D_inv[:, 2]]\n",
"\n",
"ax.plot(X3D_below[:, 0], X3D_below[:, 1], X3D_below[:, 2], \"bo\", alpha=0.5)\n",
"\n",
"ax.plot_surface(x1, x2, z, alpha=0.2, color=\"k\")\n",
"np.linalg.norm(C, axis=0)\n",
"ax.add_artist(Arrow3D([0, C[0, 0]],[0, C[0, 1]],[0, C[0, 2]], mutation_scale=15, lw=1, arrowstyle=\"-|>\", color=\"k\"))\n",
"ax.add_artist(Arrow3D([0, C[1, 0]],[0, C[1, 1]],[0, C[1, 2]], mutation_scale=15, lw=1, arrowstyle=\"-|>\", color=\"k\"))\n",
"ax.plot([0], [0], [0], \"k.\")\n",
"\n",
"for i in range(m):\n",
" if X[i, 2] > X3D_inv[i, 2]:\n",
" ax.plot([X[i][0], X3D_inv[i][0]], [X[i][1], X3D_inv[i][1]], [X[i][2], X3D_inv[i][2]], \"k-\")\n",
" else:\n",
" ax.plot([X[i][0], X3D_inv[i][0]], [X[i][1], X3D_inv[i][1]], [X[i][2], X3D_inv[i][2]], \"k-\", color=\"#505050\")\n",
" \n",
"ax.plot(X3D_inv[:, 0], X3D_inv[:, 1], X3D_inv[:, 2], \"k+\")\n",
"ax.plot(X3D_inv[:, 0], X3D_inv[:, 1], X3D_inv[:, 2], \"k.\")\n",
"ax.plot(X3D_above[:, 0], X3D_above[:, 1], X3D_above[:, 2], \"bo\")\n",
"ax.set_xlabel(\"$x_1$\", fontsize=18)\n",
"ax.set_ylabel(\"$x_2$\", fontsize=18)\n",
"ax.set_zlabel(\"$x_3$\", fontsize=18)\n",
"ax.set_xlim(axes[0:2])\n",
"ax.set_ylim(axes[2:4])\n",
"ax.set_zlim(axes[4:6])\n",
"\n",
"save_fig(\"dataset_3d_plot\")\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Saving figure dataset_2d_plot\n"
]
},
{
"data": {
"image/png": 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/7e5PA19m6rpHkVkZGxsD4Atf+ALr16+fXpbGHT9+nKVLl9Lb28uKFSu4/PLLuffee1MV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\nEiqIIiKJ/w91rHivZIJ6nAAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f2f82b65ba8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig = plt.figure()\n",
"ax = fig.add_subplot(111, aspect='equal')\n",
"\n",
"ax.plot(X2D[:, 0], X2D[:, 1], \"k+\")\n",
"ax.plot(X2D[:, 0], X2D[:, 1], \"k.\")\n",
"ax.plot([0], [0], \"ko\")\n",
"ax.arrow(0, 0, 0, 1, head_width=0.05, length_includes_head=True, head_length=0.1, fc='k', ec='k')\n",
"ax.arrow(0, 0, 1, 0, head_width=0.05, length_includes_head=True, head_length=0.1, fc='k', ec='k')\n",
"ax.set_xlabel(\"$z_1$\", fontsize=18)\n",
"ax.set_ylabel(\"$z_2$\", fontsize=18, rotation=0)\n",
"ax.axis([-1.5, 1.3, -1.2, 1.2])\n",
"ax.grid(True)\n",
"save_fig(\"dataset_2d_plot\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Manifold learning\n",
"Swiss roll:"
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"from sklearn.datasets import make_swiss_roll\n",
"X, t = make_swiss_roll(n_samples=1000, noise=0.2, random_state=42)"
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Saving figure swiss_roll_plot\n"
]
},
{
"data": {
"image/png": 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YsWIRH374Al9++TORkSdp2TKMy5dzOHnyAs8+O4HBg4eU2cbDw4OpU6fzxRf/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\ngg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f2f83477278>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"axes = [-11.5, 14, -2, 23, -12, 15]\n",
"\n",
"fig = plt.figure(figsize=(6, 5))\n",
"ax = fig.add_subplot(111, projection='3d')\n",
"\n",
"ax.scatter(X[:, 0], X[:, 1], X[:, 2], c=t, cmap=plt.cm.hot)\n",
"ax.view_init(10, -70)\n",
"ax.set_xlabel(\"$x_1$\", fontsize=18)\n",
"ax.set_ylabel(\"$x_2$\", fontsize=18)\n",
"ax.set_zlabel(\"$x_3$\", fontsize=18)\n",
"ax.set_xlim(axes[0:2])\n",
"ax.set_ylim(axes[2:4])\n",
"ax.set_zlim(axes[4:6])\n",
"\n",
"save_fig(\"swiss_roll_plot\")\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Saving figure squished_swiss_roll_plot\n"
]
},
{
"data": {
"image/png": 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DWspalSp8tiHtssK9e/foqrdjD7WIE9SgQQZaq8HlPcBVvUBnexV//vnnLJW5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\nSWu23mWDEBdtZezYsQT7K8wfKkzsK9gsGhLjjAztpqZEuInhw4bc81r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z29BNqF21/P/p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\nYjS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WChUw0aB+tWwpuidPnqRx4+rExkbQt2/XdMZmTvD48WM2btzI559/nibs51msX7+e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rXr9+HVFRUShZsiRcXV0/+F0mk+LUqWR4eZnYaUKC+IONhlKlSmDixBuoUMECIpEIW7ak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\nEEIIIfLt/wGYlknBWdODKgAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f2f8345cef0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(11, 4))\n",
"\n",
"plt.subplot(121)\n",
"plt.scatter(X[:, 0], X[:, 1], c=t, cmap=plt.cm.hot)\n",
"plt.axis(axes[:4])\n",
"plt.xlabel(\"$x_1$\", fontsize=18)\n",
"plt.ylabel(\"$x_2$\", fontsize=18, rotation=0)\n",
"plt.grid(True)\n",
"\n",
"plt.subplot(122)\n",
"plt.scatter(t, X[:, 1], c=t, cmap=plt.cm.hot)\n",
"plt.axis([4, 15, axes[2], axes[3]])\n",
"plt.xlabel(\"$z_1$\", fontsize=18)\n",
"plt.grid(True)\n",
"\n",
"save_fig(\"squished_swiss_roll_plot\")\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Saving figure manifold_decision_boundary_plot1\n"
]
},
{
"data": {
"image/png": 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0VAhUQ+BmFKDy7a0sUTYwMNAtBFpQP1y4sAerVc01OnPmBDabmj9lsQRz+nQn\niorAak0EPAWqIi5dkggKqvzZTM0sq9bglXuhe2ZZzlJioh82GwwZ4l2AFEWqUvQqW1/VV0mS1DJH\nJmP1xcVb0MPoZ0d7jD/dDNTU1Tdp0iRkWeaXX37hs88+q9Y5li9fzqpVq0hNTeXJJ59kxYoVznXf\nf/89U6ZM4cyZM/Tv35+VK1fSvn37ml/IDaLBC9SNpC4mCizLd5Hdghs014ZmJfmKIPlKO+qb++9f\nyOOPe5mOopS0NB2ZmTrAfRtZBovF+z1q27bqadNNFhOJZxNJzUzFqBjdqzPsUk+nlRwC1YJqHRTF\nkCFLvB6vOlQlUBHNIvErtXiyTmZhtqnjOaetmbz5nxGcu5oGQd731+XqCNkSUhZuXoHwerOqnMvx\nvero14PD4ahRnmHbtm2ZPXs2CQkJzrE0gKtXr/Lwww+zYsUKHnjgAWbNmsVjjz3G3r2ewSm+ghCo\nauILwQ2a206W1UglLeLut0yUFdQchwNOnZLIyFBFKzf3Op6rcGCoWlbIuN1Il733YDTKBAXB4YLD\nmMaYnCWHNJTkig9X1RhTdZwN7722jOBg9Xf3HCYTueRUmgAsN5ExDTW5WX3eqEpkKnKbVid3ytc8\nKna7vUbf7wcfVGd4TkpK4ty5c87l3377Ld26deOhhx4CIDY2lmbNmnHs2DE6d+5ct42uI4RAVcFv\nKUrlrSTNJ66Fgde2bTejW/Nmx26H8+clNm7Uk5Wlo0kThS5dZP74Rxtbj8icqOoAWk6SNilTuMvy\nUiI7RPK/92+jS5cSunSR6Tqhq9dxmnM5mRVaGGFKZ/7y+w8rbIbqAqz42VGUsmfSbIaiopvTgvYl\ny99ut9fJeHFaWho9e/Z0/h0UFERERARpaWlCoARVU1GirMFgICgoCJ1OR3FxsbOagMC3sVjg+HEd\nR4/q2LfPD4dDoV8/B4MH2wkLK9tOc1dVFMVHppqU6hy3KbWaqkJzrXm0y2Gu0MLo/nPVY1CVYbdD\nRoaO48d1nD6tw1xBOT/XJGAneUCz2p/7VqWmFlRFFBYW0qJFC7dljRo1oqCg4LqPXV8IgfqNqaic\nkEiUvTktveLissTZM2d03HabTJcuMrffLnPmjI6+fT3HlTR31ZYtfrRurdCrl+c2TldZNerj1ecj\n480FaLdDdrZEerofiYl+tGghc/fdMuPG2flkS6Znm/PBUGygX3Q/DiQdwGa0lTYcdYhuB2QVe8+L\naojIslwd9ZwSAAAgAElEQVQnFlRISAgmk7tFbTKZCA0Nve5j1xdCoG4gkiR5hIDXNFHWFzptX2iD\nr3HqlMSaNXouXtTRsaNM164yEybY0coVpqVVL2S5OmHjXPG+KutYFu9cHkFQkDoGVWgurHb7NY6f\nS+HVf4wk/L9ln69rYIEmULKsXvORIzoyMvxo3lzmzjtl+vd38Pvf2wkMVPc1S2av1p5xi5GtH2+l\n3bB22MbYPNabt3iaXlPnTCU+Kd7DMjQqRkYNGnXTBT9Ul7qyoLp27crq1audfxcVFXH8+HG6du16\n3ceuL4RAVYPrib7TqkpbrVZkWcZkMjmDG0JCQhq8lXSr4HBAdLRMx452apknWimRzSORM+C8XUeJ\n/zFnB65FuwFk+WeVTWcBkEPZuJVL6SF/R8XTlxSHmkiL3u2+sDSwQFHg6lU4f17Hjz/6ERICXbs6\n+POfrTRqpG7z44/uuxoNRq/jYEaDsVrrXcfKUjNL3Zx63BJ6TTtMHuNpkc0jydqe5SFmWUoWfcb2\noUV7d1eXto8vilxNo/g0r4zD4cBut2OxWNDr9UycOJGZM2eybt06xowZw+uvv07Pnj19dvwJhEDV\nC4qiuAU3AM7Q79DQUJEge4shSdCpk0LnzmrduPfeU6uZay82ixbFMmrU69d1jmWvL6OkBD76yJ8X\nX7R63Wb0s6PJIadsgVaRwXUiwV1g9TOXVW7QqKSCg80msWOHH+npOo4c0dGvn4NHHrHRtKnntuVd\ngJEdIt3b5LK8OuvdxspcQ+ircHUue32Z1yroJkyYt5jJjPISzldP1dGvl5paUG+++Sbz5s1zvviu\nWbOGuXPnMmfOHL755hsmT57MH//4R/r378/atWvrq9l1gii8VgdowQ1msxmTycS1a9ewWCz4+fkR\nGhpKo0aNnFF3vmItCRdd3aAoCitWzHXez4SE9Rw58ilTpvwBRVGc1c337Vvvts977831+AwURapw\n3fUQZg5jUOYgBmUOIuhaGMXjTWoVh6E4/4cVhBG2JczrK+vly+oz+8gjdoYNc9C7t+xVnDR85BG/\nZXA4HDV6qZ07dy6yLONwOJz/58yZA8B9993HkSNHKCoq4ocffvDpJF0QFlStqU2irK+M3fiKSN4M\naBbQiy/OZdGiWABeeimWDz5QLaLTp49TUrILP7++KMpYNm9eSp8+hezZs4WEhDg2b17GpEkFfPzx\nEh54YCLgPiVH+aKx+/fHOdeNGDHeObeU+uzU7hq6R5XlFMU8OYbD7Pa6jcMB++7wjOxr00Zm6FC1\n8kT5R6d8uPqZMzq+y5KJauGb7jIoHZvbgVer0Re+n+WpqUDdSjTMq3ahOqKhBTe4RtxpkTW/RaKs\nL36JbkUURWHy5CexWHaycKGdI0c+5do1hQMHfsJmSyMsTObkSRvvvw+LFn1AfLyNbt3S2L8fnn9e\nZv78mQwfns/atdCnz2EOH17Pgw+OdU7JUX5uKEVROHBgKc89p66TZblCIXOdGPG6Xzh2wc9XU1UB\nvOCy3GsH7i5SHuHqUWoxW6nUXeZa8aGgQMJuh7AwO5GtIj3Wu1Jh6aY6QG4iq5ZjJW5CX3qJq6sg\niZuRBi9QlaFZSbIsU1BQ4AwBDwoKQq/X/yYPsS99cW5VtM7/rrt6kJa2md//HrZuXUFsbAmvvQbn\nz/9C164wZQq8+666z8CBKaxcOY8hQ8xER6ud+L335pCRAfn5EBFh5ujRD0hIsDmLypafGyolJY7o\n6DTnupUr5zFzZpmQqXHYKuWtMEVRKL6QT9SlewgJkTEa4ey5U9zWroNbZ+/13cYOJQ96BiqEbSmb\ndt2VmjyCrlbU/v06TCYYONBESEiIx3rXKL3UzFTWDVunWjtRHod1lkQCNYqvPgXtt0ZYUAKg4kRZ\nSZIICQmpdRn/W5Fb2YqLj49jy5ZlxMXpiIqCr76CRx4pQpKgc2fIzYXwcLWjHjpUrVgeE2Nh9+5s\nkpJg8mT1OIMGwdat8NZb8NFHMGBAKmvWvM706eqUHH36FLuID6SnL+b558vWff99NooC1679SkLC\negYPfhBQWLhwDqdO7XZOjHjoUDInT2YR2fQk7dr9g8ceG0l29nrWrZvOow9OYuTICdhsatJwvqn6\n6uLqGtSoz48963IWOcPLBUzsAtZBWEBZRXaAyPvLgii0n1H3R2GWzM7IxqxjWYRlhmEuNmNr6hLK\nXtrrhZlVAXYe00dFTlhQDRiHw4HFYvFIlHW1kvLy8sREfi7cylacoiisXDmPoCA7TZrAc8/BrFkw\nYIDaORcWwgsvwPLl6t/9+qniEx0NMTEKJ0+WWRjJyTBunPr33XfrWLeuCQ89dMrrDLuKohATk+a2\nbsgQhbVrwWCws2JFLPfeO4ETJ9Zx9uwnjBihOCdG/OabQ7RubeeeexR27foAWR7Oli3LmTSpgL//\nfSkWy0NkZfnRsqVMu5BIGiUphIeXKU1Npq6oqlZfnXMvsAO6t/MUS48ovbM46xLmkOO0vMK2hGEb\n6plr5V2Afe/FS1hQDRiz2Ywsy5UmytZVcIOvBEkIvKONOcnyCSQJ7r/fXWQOHIA+fTzneurRQ3X1\nmc06/Pxa8vXXnVAUhfT0Q3TuXMSAARATI5OQYOfMmX6cOye5nBNMJrWadGZmb44cAav1MhbLMUJC\nFDIyoGdPKCw8wXffxXHhwoc0blxCv37q/v36Wdi8uUw0Bw48zMcfx9K16xEkCXr2TOPs2XX8v/83\nntBQaNPmQwIC4Iv459xzh7TxmOucMLDy+1t5Hb8bRmmV9wPXDtBuWNmcSkbFSGTnSDo07sDHb3/8\n27WvHMKCasCEhIQ4Z8NsKNzqQllRAEFVgQUJCXHk52/BYFBnp42Ohi+/VIueJiSoJX3eeEPdNjoa\nZs+GvXuhoABCQuDee6FLlwWMHDmB+Pg47Pb/Ize3TMhGjswjI6MJH364BsCjLZs362nXTmbbtplc\nvdqM8+evcNddGeTmQps28O9/v89ttx2hSxd3K23MGPXvPn3Az89MZuYqnn5adRUOGFDM6tWLCQkZ\nR9kYlsKOg99xemhppesa5Bd55DmVC3I4fVpH+/ayV3dZra2vPNXKmzpnaq0iA40GI90zu5N1LAuz\nZKbQXIjcRMbW2IYNm1OUTTtM5ETl4Dhau8ka6wthQQluGm51cakL4uPj2Lr1Q7p168XIkROcYeKT\nJz+JyRRPQsLdjBqlhnxrovXCC3P48MPpxMYqzJoFo0ernenjj6vHXL0aIiNxc8GNHAlffw2LF8Or\nr+rYv78FFsteRo6cQErKXjIz/Zk928qMGZCaCkePSrRrl+B06VUUoTdjxjsoisLUqfdhMqljWsuX\ng9mciV5vJS0N0tLU+neSpBAbq+43YIC63bhxRSQnq6JYPhhDUSA5OY7i4gt4I6ggjIifexAWplRL\nZMoLxttv+/PKK1avQlRrgQoH01ATWZm1q88X2SGSrR9v9Zq4C5SJcr76e1pxmnP+LPjtK0wIC0og\nuMlxzVdauXIe7dvbWLEilg0b1mK17mLBAhtZWVuYPx/mz59JaupBXn55HgkJcaSkfMjo0XE88EAe\nkqRaJLt3Q1YW5OXBlStqx3rxIhw7BqdO6QgKCsZu96NTp0Ikyc748YFERS10ik2PHgMJD1+NJMHE\niXDyJDRtamXaNIVVq5YAikeouet7R0LCegIDU+natcylmJFRTEQETvfev/6lEBHhLpo9e8KGDYEE\nBTXm1KmOHD58ist2G0X6mSyO+4S8PImLOb9iVrx7DZqHtmHh5ARiYhzOpOHqhrJr7a9s08pcfFp5\nosumy2oouEZpL1V+9mCPahh5XB8W9UdBUAGJZ8uELOvYb1u4tq6Kxd6MNMyrriHCavF9tLDrBQts\nQDaTJ8OsWSe4du0Eb70Ff/nLRzz9dFn4944dH9OjR2/WrHmdqVNtvPpqNjEx6rFiYmDbNlWczp0z\n8OCDNgYNKjtXcnIgbdsuZuvWj3jmmZ8B1ZW2atUSUlJ+5qWXYtm8eSlPPVXsPN7GjTBxYllgw8mT\nitdQcw3NAnv8cbWsUXQ0rFunIzm5Fb/+2gmT6TinTl3i1CkHO3YYCQgwoChgs4XQt+945s17kx9+\n2MKVK5O5UtiW0/2Octo1yakCV15h4Vm++mo2AwfO9ZpQXJkVVN3JDisSO81KqcjSMRlN6vJSl6Jp\nTLnAjl2g+0ZH87DmzlJJUIPoPB1eC9t6K1x7IxEWlOCG0BCFrrYRf9rb+6RJM9yWaVbS++/Pc6t3\npyW/vvTSP2jbVr3Ho0fDiRPwxRdw110y/v7qce65B/bssfDvf8cSHZ3NF1/Agw+6WyJjx6q/b9rU\nmPPno/j6a8jNvcLly5k0b96egwe/oFevI277dOnyK99/fxhZdjhznbR1DzxQdvz+/S0kJ6sddvlQ\nc4077xxIaOhqt2NMnBhIWtoiPvxwLIqiMG3a/Tz1VDKrV3dl6dLvkSSJL77Q06uXGVl28MEHM3nz\nzQKefPUs1UVvKOTq1Y9ISLibzZuXUuRfwJT3niUy7hNALXsUsllBycvnx3WJHp/v9c7GWytKgx4A\nQowhZXX+fLT4a00RY1ANmFs5ZLq+qK7QanllWvi+tq92z13vffnPISFhPRkZ/+SHH7oyYcJjzmVH\nj37GwoV2MjNXOd/sExLW0717OgABAVYCAtTAhEGD4OBBOHcO5s8vCweXJFWkNm8+gV6vbmOzQUaG\n2omeOAEdO0JQEIwfX0iHDpMYMWI806bdz6uvyqxeHUKbNp04caKIkyd1HDt2iNatCzl5UuaOO0r4\n6acvadv2NjZsyKBDBzWIAqBFi7JxIdcoQM2Kstsf5vhxHceO6fj22wMEB/fm6FEwGlVry26H3NxE\nYKzzmr2NMQG8/34srVpdJDkZgoOLPD8cPQRvhJaNJK5d8yc83ML5S5BbAidalPCX+f+Pxo2t5ORD\n0bhCcnAv2Npss87D8qvqkbBa1eCTOseO0/Jxnd4+a3uW21hSamZqpUm/JnP1Qu1vNMKCEtw01IUV\nVp+WnGsld6vV6hQkh8PhXK+du3wbXEVqw4bFTJpUwIoVHzuti08/ncHf/lbAvHkriI0tYv78GQwZ\nMopNm5bw9NPFHDigJtBOnlwmRuHh0KuXlosECxZAy5aq+664WE3Cfegh3Fx4iYnw7bfhDBzYlexs\nNQxcURQ3QWjX7jmGD3+bH37Ywu23TyI6GvbulfHzg6ioQr77rjUjR+qIiZFZu1aNBMzJgTlzAggJ\nUSeJsliCOXWqE2YzHDy4D4fjMaKiHIwe7WDVqredc0lp92r+/LmcPu2HLMtuLsTyVpgsy+zZs5rY\nWPU+aDP0unEvBG0x0r9le8xhWej1EBoKKb0hBaC3hWtQoSuwTWuZTZvKl2ryPplhVpaOlBQdu3f7\nMWGC90rsrmiRgc7pNTRq2FuZbWZ3V+FF9XrCzJ5Jv8teX0a7Ye285oMVmgvdhE5r442yzoQFJaiU\nhuiaqwmaKFmtVmw2G35+fhgMBsLCwpAkCavVWmmic3nBio+Po2fPo0gS9OhxlB07tnDw4AEMhhyS\nkmDUKLWqw+DBFxk7ti+tWqnh0omJqmWkBQv87W/q73/8o3oebSzI4VCnY+/fX90nKQkyM8FkUgMi\nOnYEq9XE669vcLZ7+vThztDtPn2KWblyOfff/4CbUAwYoArCs88Ws2HDBc6dG8jXX4NeDzqdREAA\nDBnSg5deeoeTJyWOHPHj2DEdLVqok/1lZ9uJipLp3t0zgCEhYT37939CaCgsXGj1cCFqVhQ8zOrV\nc533KDoafo73ft91kh8REfeRmgq9emWSeaBm6RbduqWTkLCew4cP8tJLsaV5TqpQXbggkZKi4+hR\ndTLD7t1lmjRRqjVXVlVjUQBZJ7NUwbGjBke4CmlFuVyly7pneibogsvcVC4uQ1AFP/Fsovtxb+DU\nHEKgBDeEW0noFEXBYrE4RUmv1+Pv709QUJCbGHnLMXPNRwLcxpVefHEuW7YsIzCwmD59oG/fYlat\nWk5qagodO6oT4s2YoY4rPfYYrF9/ClmGJUs6U1h4npgYdRbZQYPg++/LwsUVBdauhQcekNi+vRUj\nRlwgJkaNrps+vWybBQvg6afhjjtkFiyYxQsvzGX79o0egtC9+xEWLpxDt27uy6OjteTeQm677X8Z\nPly1MNLS/DhwQM9tt8ksXaonNFSha1cHzzxjpVEj9QDnz3sXcUVR2LRpCU2alDB5Msyf/yWRkXeT\nnV1mrpw5cxKTaQ+tWz/E0aNf8+ij6vLoaFi8Wk+TjXrCQkucEwsCBDY207PnQM6cSWLgQJn/Hqj+\n519QoAr1ggWxhIVdZtu23kRHT+DMGYlPPzVgt0OPHjJPP20lvHSyxJ07/aodZj51zlSyTqqlilwx\nKkYiB6lljCgEJnrZuYpcrooYFT2KrMwsUkwpFIwtqLPjXi/CxScQVAOtmrvFYkGW5SorcFSEa3SY\nlg+0YIGN7dv/jt1uIzAw1S3BtUuXXzl2zE50NOzapS7PzVWFYOJEyM6G06ftjBxpcxOL0FBISDDy\n448GCgt1hIfnk5MTRUHBWWJi1OMMGeIeHDFkiLp8wACYP/8bjMZ3OHbsIFev9uLkSdd7IXPy5G46\ndrybHTuysVqLkCQbVqsZmy2cnj3vJC9vP927jyc9XcfOnQauXZOIiLDyyCNmmjQpc3UWFak/zeYA\nzGaZoiK72zjdd99tJCBADTkHCAi4wu9+9w4jRqjjP9u3b+Tbb6fQrdsAdu36huDgXGc7JQlefMaf\n1NR7CQkpJCPjEG3bFpKTE0JERE82bFhDz57q+F3Opeo/CwUF2phTNpMmKSxatJRff30Es1nh7NnX\niI2di07nrkaKAkv/PRXTfzI8npfyLjOvdflQrR9tMsKcs57rr4dlry9DlmVGPzuaveyt02NfD8KC\nEggqwOFwYLVanVPWGwwGZ43C4ODgah/HNQJPi7hbtWoJiiLTqFEBW7b8nfbtbWzduprwcDXB9ZVX\nYPv2cIqLTTRvDnv2qIPsX3+tWjqxsXD77ap7rkWLk8THG0hPh5ycECIje3LbbdC0aU9efnk+f/pT\nb6ZPzyM2NoeHHipGktRgiFOnVEvLYoFmzSAsDIxGVRhHjChk27YNzJjxjts1vPRSrHN8zd/fnxMn\nJPbu1bFv32CeeiqZzz6L5IEHtpOe7sfGjWoE4Zgx6nTp99+vzVfueX8CAvQEBDgwGg1O8ZJlmfj4\njyguthIdrYpnQIDMqlVvcN99aqjhpk3LmDSpkBUrlnD6dFPCwxUWL46iTZumpceGNm3a07VrP9q3\nn07//pCUJNOu3Z9JTd1PVpaJn366is16zPOD04Pf1xLtm0NYWJn1rw+Hv/2tDRMmXESSFH73uzTa\ntPma06f9OH/+U7Zv7+VlihA4V5jF4b5eOv86dJlpQQ/mPPMNKeFU3wgLSlApvuaaq8+2KIriJkqK\nojhdd5owmc3mCtugKAoLFsxm5sw3nPdt0aJYunfv5YzA09xld96Zyp49dvR68POz8fzz8PLLBdx/\nv84Z6v3553mEh8Pzz8PHH0PfvurAu2soeLduADI7dlh5+mn4+WeZDh0mOTvI+Ph19OuXXVpfL5/E\nRNi9WxWxiAi14zx5sgCj0cK5c8ew2+HTT7sQHt4Uk2mv8ziult+QIaPcrvvQoTjuuqssiGLv3vU8\n+eR42rZVI/DS0nTk5lbs39KCSXQ6nVuk2/btGzEaD5deI85q6e+8k83OnfGAxN13HykdrzvC+fNt\nef55BytXhvHuuwlulTKef36EcxxNdZ1+xPvvq9u8+OIoBoRBYlwA4eGWMldgCBh00MYYScsWzTh3\nTv1s/IJk8qzH2XtU5qskUJRiLl6chNUq0b59Ia8seIHBg0e6RW3abAag4mdXUZQqo2q1ZN3UzFRn\nYm155CYypqGlwQ7aeNIFNUfKT/Ejq1FWhWWTfOl7ruFwOPDXciQaGEKgbjLqKize9YuohYNr40kA\n/v7+hISE4Ofn5/Wc5fd/991ZgESPHr1IT/87CQl9GDVqIvHxcRw9+ikpKa2YNk2LwFM7yf791UKn\n8+apxVYVRa1pFxOjjlvdc49aA89mUzvmvn1Vt95zz6nnjY4us6KCguB3v1NISoLo6LKoNkVRSksY\nqce89141CXf8eDudOk1yzqX03ntzOXVqN6+9prB8Oej1wcyfv8UlQk1xm2hQ63y1dUeOLOH3v3et\nf/cBbds+cN2fV2rqPjIzm3LmTBFxcTbGjjWXJhvDihXv07KlwRmkIctm7rvvhHOMTCuplJHxTxYt\nctC9expr16rlm7RtduzYiqIo9Ox5hD59YGCig/XrA7izvYWcnBA6depJcTEUF99Nu3aLMBjgwQft\nXLv2DWfOPMu/d8GhXlpr1XD2PKDjzqv88MNmhg0bxwuvv8DxK8e5dk3iVE6K1+t0OBwUFZWFw1dU\nH9OZrBtF9caEXELQ5dJ/OeTUqmyS6/QcN3JqDrvdjtFovGHn8yWEQN1AfMUS09qhWUk2mw2dToe/\nvz+hoaFVuhPKd7rx8ev46aflNG4M+/a1Y+bMAv71rw8YPnw87733EuPHFyHL2SQnl0XgqcdRywol\nJ8N998Hnn8OwYZ4Js3FxsHFjAOPGWZx5TNr64cMhLk4iPFzh1ClVrFxziw4e3Mvw4XkeNfQyM0tI\nT1dFLCFhPYmJnzBsmN2Zo3T8eKpLbpHClClP0rNnmYX0/febGD5cDetOTIxj1KjDXqPqhg8fx+OP\nD2P27B9QSxXUjBkz3nHW5ps8+X5iYpIBNQgkPv4o991XFjmnirfasasW0mJAYtKkAubP/xKj8Tbg\nOAsWRBER0RRFgfz8PZw5k+RS9cLO7t0Onn4a9u+XOXJkCvfeO4EePWSioqx8+aWeFi1kFi9eTIcO\nvbh8ORW8hGaHhips3bqc0aMf4sTVE+zpvEddUYGo+Pn5ERIS4vx+VGtMU68eT3dVR7BRdTebLWbs\nze2V74cqgGazWiHCdbxPURQ6Ne2EdKx8ArJExMAIls5b6rbtjcij1FzrDREhUA0IbYZgbTxJi7y7\nninrFUUhLu4DGjcu4bnn4IUXslAU6Nr1MM8++yitWl0kPh66dFE7zpIS+PHHEKxWBUUxc/vt6uyv\njz2mFmTNzlYTZ8PCSscszkFgIAwfbiE7W80nSk9Xpw8PDOxMYWEhLVo0pWPHUKdAfP01zs5306ZV\nRESodfU08vPV8/zhD2kkJKxn06YlNG5cwoAB6vroaDhwwMrGjYsZMWI88fFxZGdv5Zln1GvQwsyH\nDRsHQGbmPs6d683Zs65WpZo/dfDgfgyGZP7971kMGvROre4xqO5FTSBBFcHRoy1s2tSaU6c6ce7c\nFaKjM5Ek2bk+ICCViAipVMgLSEwMZfp0B8uXh/L226p1GB8f56wZqO03ZIhqifbvX0xa2iJ+//sx\nbh1xYmIcISFZDB36EYfyP+E8nqHgkgRHcw4y8In+nL1yvqxmXh6q262C8SDtPFpdPrOtrMxQobkQ\n2S6X7V96jIGZA51h45WFpruizfsG7mkOiqKw8NWFGAwGrzl7mqh5y+Ern4Du7Wd1tnH9CWIMSlAF\nvmL51AZZlp1Wks1mw2AwOK2loKCg6z5+fPw6AgIOcddd6ht8p06UupGK+frreObPh1dfVQME+vVT\n/+/bZ+Obb2QeecRA//6W0naqUXezZqm5RE89VTYH0549aiBD69ZdaNKkGQDBwZCSco42bUz8z/+8\n4zEgr7Xt0KGPCQ1VRSk310CTJjbCwqB9e9izpz0pKWsICiorygpllR5UK2o9K1fOY9w42SPM/Pvv\nNzFmzMP8+c/vsnevH08+6f7mLssy48e3JTYW5sz5JwMHvl3l/azohTw1dR+XLvVi8+ZD6PWFtGmj\nircsO3j77S28994rnDvXjOXLJcLCZAICFLKyUnniicLStpid43DR0WlO6/DXX/dx7lwv9u2TKCi4\ngtGYQViY4gwU6dnTvVagoijs2rXM6eoEl2xil/yh9Gs6QMHW+CiE4i5I64A40Dl0hBjVYIYD/urc\nTNpsuABYwTTWS3WHOgr39hYZ53A4iJkYwyWbZ0hjy4CW/Lz5Z+ff5cWrsp/af811WdU+AHv37uXF\nF18koDRje9WqVYSEhNC6dWuWL19e28u+qWjwAnUzljqqSiy1IAebzYbD4cBgMDjHlCRJori4uE6u\n2+Fw8Ne//h/dull57DE1iGHaNJgzRxWWCRPUL2NYmDqwP3s2HDzYmdzc8wQHF/LDDyHs2dMEm62I\n8+fNPPqozZlkGxurJswqCrRqpY4/HTt2O02bduWll2KJj48jJeUZJk2S3SqCu96jNWte54UX1E5f\nlmHOHB3TppXlPK1aFQJcBcqmsNAqlYNESUkwZvMaAgNPk5YG+/dLBAZ2oXHjpjgcMvn5+xgz5uEK\n78+CBbOcLs0xY4rYuvU1Jk58o1r3tvzcVTNmvENcXBw22//RpYsqHgcOwPHjeW6Rhv/5j57o6CIW\nL36KMWMcXt1//foV8/e/L6Wk5CH8/d9n8GCZHj1k4uJmcvx4MyQJ9HrFaYm6BoocORJH795pTjdm\n0o72ZY12Ge+x4TKGVF5QSvOi5KGymhi7Q93Phq1sNlxAl1Jzl6hHFYpaVDjPseZ4z4Pa4v6nN2un\nLtC+3zExMcTFxfHll18SHBxMv379KCwsrPH8dUOGDGH//v1Oq7Bdu3YcOXKkTttcXzR4gbrR1EWZ\nIm/H1HKUNPedv78/gYGBGAyGehPhv/zlEYKCimnUSO0Ao6PV5Y0awX/+A8uWqcEN99+vuaR0/PST\nkREjZPr0geRkmQ4dFjBixHgeeSSKmBj1rXXQINi6VUdOTjAGQzChoRFcuAAglUbR9XKzarxVBE9I\niHNaDKC2b+xY1Vr74gs1UEBzgfXvX3ZNycmBdOjwESNGjC8NnNjFtGn20o5eYfXqEN5+e4szzLzs\nMzXND0gAACAASURBVHC/N7Iss3v3Sre5mtav/wiHI7Za7hpvlcQPH95LRoY/f/xjWYXz+Hh/WrTY\n41ZtfO/ejRQVbScxsRMnTzbz6v7r2TONL798jH/8Yw0hIep1zJz5Dlu3+tGihUKfPt4TrON2Tqdx\nh2LWJKqRe0ezM9Cd0eFn8cPh70DeUbpfHYR1yzrvHbFrsAK4ByxokXlT50wl63IWWcVZbtXINQvt\nRgY51BTtuQoODiYiIgKj0Ui3bt0YMWJErY/30Ucf8cwzz9RlM28IQqBuIHUpFFrknSZKAAaDwS0c\nvKr9a3veRYtimTr1VVJSEoiKUkUoI0PHm2/KJCWpY0Z6vWq1JCWVRd3FxMhs25ZFr17uNeQURWbk\nyEI3F9rEiapQxMTcxyefLOSll2KZPn0YkyYVsHhxLJDtFETXWnTadW/c+DmFhQrHSlN7TpwAf39Y\nvz6IVq0sLF0aSX6+iZwcOHOmk8v1ldXeS0v7hObN3V17mhiWDzMvj6v1pO07YYKNUaN6M2LEBF5+\neZ5bFOCiRbFERb3p/Ns1YlC7rq5dB3qMF40ZI9OhQ4zb57N793KmTbOxenUos2dvYe7cV/nll+Yk\nJUk4HGo+kyxf5sqVBBITPaf6qOjRSUhYj77pVVJ6uyzsrQCKKkxDXZZX5oa7znmbukd5L1Xkyq1Q\nxVyjLsagbtYhCiFQ1cBXxqA0UZJlmby8POdAb2Xh4N64nuuJj19HRsZnTJ+eTuvWMpMnq2NMDzyg\nA2SXPB144QU1+MG1Qx01ynO2102bPickpBfZ2a7XqgqF2WwmI+OfLFxYNoVFkyYn6NwZr8KhdbYd\nOkRw9WqMc5sePUCWFbKyspg+vZjVq0NZvfqA13smyzKPPnoHr7xSwhtvhPDVV31dxERtV1UC9euv\nP6EoYezerf5dXFwIyDgc2SQmfkKPHn088qsslmg6dRpfYaXy9PR9ZGT05tw5z2AM7VhHj8bRp4+a\nF3XHHenMnLkZqzWQV1/dQkQEJCT40aKFzKpVQ3n7bZtX92hFzP9kPmcuS1SWy1Qtwq9v9/rEF77n\n5bHb7dcdxffKK6/wt7/9jS5duvDmm28yePDgOmpd/SIEyscpX4hVC78NCwu74ZE9iqKwfv1iJk0q\nZObM7TzyiCoOLVvC5s0OkpLuoG/fY0iSzO9+p0blHTsGP/0UQlRUT86cOYHNVoTFEszp051Kjwm3\n3x7hHEMpf77Jk4fyl7+450/5+6tBE0ePqucvKJAICGjv1lF7O158fBwREZMqdAtqLFgwi8GDL7pY\nKM96bGexVJAlWsratbvdznvixF9ISjIzZw4sX17ijBAEnNbS3LkvMXbs2AorlU+d+g7/+peBKVNs\nXs956RKkpS3hoYe0PLNi9u6dTUBADidO3E1UlHoNBw7EeRVA9Z5XbEEFtW6C3VGz8Q9QXXJsoawy\nuR63YqwVIuG0xFwrkPuye64+uN4ZdRcsWMBdd92Fv78/X3zxBePGjePQoUN07NixDltZPwiB8kFc\nw8HLF2KVZZmioqLfJOw0Pn4d3bodLnVXKc6ObPp0eOcdhcLCPAYOVDuwmBh12vS77oLu3d0rO1QX\nNbT6qEf+1BNPQGKijuTkKNq2bUZwsFrSyJsoaWhuM28dv6v1UH7sqHfvYmbNmsHw4eNqVG+w/Hnv\nvNNMnz5lEYJZWSlMmfIHHnjgUadYjBx5gYULH2fwYO+VygcM8Lx/xcVqlYrUVD9SUr5l2DD3fKx+\n/bIxGMqmxpBlhaSkpTz3nPf78I+vpvDrmS3YcZ9F1qiUJopWN/DzEhjXGjGEGTAajG7h4oAzhynM\nHIZRMTrHicwlZmyNSwW4KVVWIK8PWvq3RNriqdItA1rekPOX53pdfNGaLxz405/+xBdffMGWLVuY\nPHlyXTSvXhECdQOpzLWmhYNbrVZncUhvhVhdczNuJJr19Kc/qR3boEHuEwC2aQMRERfL5dPAV18F\n0K/f3W7WTXXPpwnKl1+q+U87d6rlidT10L175aLkiqvbTGufNyuq/NhRcjK0anWR996bzcyZb1W7\n/a7n7dYtjX37VNcnqPdsyxYbjRptYeXKdGbOLJsaftOm7WRlRZOd7fqZq268/v3Hk5g4i6IiBw8+\n+AapqX6cPq0jIkJmyBA7V64k8ssvvVm94RgFfmbsNjuybMbfH4zGn3nofyfQL+r/iI5Oq/A+XCjO\nJHeMZxFW0w6TaglVFx1YdBbMY8yecyyVRu2Bp/BowQ1OSmv03UirKfHbRJ+q3FDXxWJ9ZciiOgiB\nqgb19YF6K8Ra35F35XEtU/TXv6oh0FotPdffXa0n0CYAlPjwwzto27YZp08f5/x5MwcP5hEaquV0\nwG23ObjvvkmMHPlgjdrlKiiPP64uU6P+am6JgZpHdPWq93Eu9xyf/9Kxozq7riyrk+299ZbM/Plf\nsnChn1twQ3XPm5LSnujoY0hS2TNkNMLzz8u8+25ZgyRJLcFUXNzXQwwVBVavjkOnW86uXWAy9ePR\nR8czbpzdObHhzJmqC/Dkjvs51n1PuZYoFG1NpnVgV86f78Xp0xXfh0optXycXAL8AWu55TLIzby7\nA3VX1WKuAJcC3PONbqXghrrieiyo/Px89u/fz+DBg9Hr9axdu5Zdu3axZMmSOm5l/SAE6gaiJeoV\nFxdXWIj1RrYF3MsUJST0QVEUZy09198PHdrDlSu9OXlS4tixg7RqVcjFi8EMHHg/r7zyHgDvvPMy\nly//SlbWr7RsWVhaVfxuUlL2VipQ5XN+oExQsrIczi9njTrSclTH0kpIWM+ECYX06aP+feAA3Hmn\nGsV33335bN/uHtygUdnHNmPGOyxc+DcSEwvYubMQgwHy8myMGaPW1LvnHoVXXw2gc2eLM2cpO/tL\nZsx4E0mSKCxUXXgpKTri45fxyislLF8O+fmL6NlzrMczI8sKFy6chO6ebcmzFLLz1Pc0adKMuxtH\nsOz1ZWUWS/4hfnh2NCcvplZ+k8qHjrtYQx7LK0BuWlbM1TVcXOCd6xmDstlszJo1i4yMDPz8/Ljj\njjtYv349UVFRddzK+kEIVD3jWohVCwcPCAioceRdXaKdU5Zl3n33Rdq2VSfCW736/7N33vFR1Vkb\n/95JJsmkQeggSksiGAJIUykKiFQLor6Wdd11fV+BRcSG4K4iortSbDQLuIi661oJIJACCIqhtxB6\nhhB6SQjJpEySmbn3/ePOvXNn5k4yaSRons/Hj8PMnTu/Kfk995zznOe8hyAIjBsne+lJkqTe/uij\nnxEEgcTE5bRv/79qH1NMjGtW+rRp75CYuJwOHf6Xnj3hgw9KGDJkAkOH3l3uevR6fhRCKSoqwmQy\nVan+U1looyzZAHY/r70mOzHcckspu3bhJm7wF1OmzOLgwTmYzQbuvdfGs8+6e+qlpsou7MpPYefO\nQpYt+5GwsLGcOWMgNlbEZPqeO+/c7+Fy4S3yOHIkgbKyC7rrKG0Epwcf4TQQniFfoJizze7WQGc8\nnqS4Q+SBVbISsiKSwEAIE0xEx0azNXcrIpUXTlQXXqlAJyoaxV7V59UlqhNBNWvWjB07KjGJsp7h\nd09QtUEQesq7oKAggoKCkCSpRiyGqrquOXNe49ln/w7ArFmvEBR0QS3eBwbuJTY2wClRTuPECVkI\nERd3gOTkFQwfPsatDtWrVzFffPE+w4bdx9y505kyZab6+M6dYDTaWbJkOnfe6X2lr12TXs9PXUAb\nZSUlraBjx/E+7I/c+6AkSWL9+td47LHpFa5drxY2YIDA/PmxBAQ0R5LkkfRBQVt57rkxjBljx2iU\nmDRpPn/+s6wc9PQK1PZTZWXNo00bkZya+EA2AznIsvDGstODDRsEQliJXKMJEALqhKC8iFVBBXOl\nqvq8ukTDwMIGlAtBECq0F9Eq75QrHk8j1pKSEhwOR7XXUp0epoMHP2bSpMO8995nbNy4hBYtZJcD\nSYK8PDt9+sj63759S9m5U75fISJRFL3qUHFxB5g16xXS0j5k7NhNDB0qT2dV+qHmzMkkJWUlI0bo\nzebGZ89PXUMbTZnNabRsKUdSISFlrF7tPm7j119XIIqLSUnpUeHaPWthDgcUFQlAD0ymd+nXz8Hd\nd9udY9Ll31xS0kpuuindJ1lq+6kGDEhn/o8+XjwfNfWWbtXMVbqAK3WnOITnyhGr+IDO734jWG1W\neaO/gHs6LxtojmtncT5myDUgNtG4TNQSzFlmRk4Y6XV/RRGS8jxFhJR5KhOrzSqPmI+N9vs8tYEG\ns9gGVAl6RqxVGYF+NaCo8Hr2LGTLlkQmT36cmJhibrzRZcqqNM+CaxNUxq7HxR1g1ap/Ex7ekxMn\nJERRIjAwwClbXsbYsTZ++GEXe/Z0JjUVtR9qwACBVav+oxKUtt4E+CX9rgso0VRS0go6dBiv1qUA\ndu1yjdtQzFMnTfIvApwyZRY2Gxw7ZiA93cD58wY6d3bQtavI7t0OoqNFJzm5kJ6+je3bQ1m3rpTA\nQHlgo8Fgwm5vTMuWW9WRIIqcPaQUOvwMxcXhWCWDq/+oFLVeZMFCKjpzlTQO4YB8jA4shRa34xUE\n/bslHUJiCA+HkBDXhZTZbubi4Jod0a4HlTg9UUGElG3JlkfIKxZNN8r3WzZauBijWXcdRFrV7YO6\nlvH7fNfVQEVGrPUNSlovPv5m4uLS2b5dVo9NnbqeHj1QTVLT0qBJEwPJyQFAECEh8hVbaWk4Z850\nQpIk2rfvxNSpc3n77b/xzDOvEBkZydq1P9C69ePs2iUPHZw3z0ZUVFNNP5TIsWO56uwcbb1JkiS/\npN91CV/qvytXtnHXXbLrg9Y81dfaJQlyciAxMYAjRwJo3VokPl7kgQfsKCYBe/bor+Gll97m2Wd3\n8Kc/7VKFFJ9/Hsf8+RvU35wiZ9++HZa+I7cA9B3pYNmmthzq6yQTX8KFfO/H0q3pmIwmmcD04OOn\n3qZtLDu/W+N1/6Tpk9i+7TghIRImk4jBYMCcZcZc5h3x1EWUIjZxWjV5fkb5V3UZuqgvEZTi9xkS\nEqLeV1JSopYwagMNBFUBFOWd3W4nPz//qhmxVgfasetKWm/v3lbceqtV7Vu65x6RHTvghRfkf+/a\nFUpMzL98puIUJCYu58iRT9mwIZ4xYx7liy9e59ZbJfW8UVHH6dz5jBvpxMfLG/ewYfe61ZtuuKFP\nhdLvuoYv9V9paalfzb95eXDgQADJyQa2b3+NGTNm8NRTZURWoqXInx4ul5xdNoXt0cPAli03EFwi\n0D9DFrKkW9O9e5KQx16Ig91TeRYsXu7d/sBX4mDBzAWsWBFIx45lxMSUYjKZ1NlNinu5ivpUD6oH\n7UL1oQZltVr58ssvycjIYMyYMfTv35+NGzfywQcfYDKZ+Mc//kGnTp1q/HUbCEoHnkasytV/WFhY\nteTgNdVPpfQuvfzym7prSUpK4NChT0hK6qmm9ez2427j0pVx6gsWdKZt2+ZIkkRRUWq5BOWyOirg\ns88WERQURO/e7ucNCoKkJJEdOwQiIiSnDdH1qgGrtt7Uvv1khg+f7fO13n13BuPHT6n251VbWL/+\nR13iSExcxfXX38/+/QY+/eEZio3HKC7OodB+jBfmryYqqmmlogQlisvIgEuXDLRpI3oRuRxl3Um/\nfq7INSMjgk2fu6KskRNG6qbswk3husTlE3lAScWHTZo+iaSdSaqLhM0mE1gYIYwc6F0nqgyUsRqe\nMEvmct+L1zgOBfV4J6wJL76qQtn73n//fTZskH9LCQkJzJw5k6+++orIyEgKCgp44YUX+OSTT2jV\nqlWNvn49/lquLjzl4FojVrvdXqc/Ek+sX79a7U/yJBRRFJkz50XeequAuXNfY+jQ82RkwOHDEsOG\nCWqzqBxFwaZNdubMSfGLdLXNuvHxh1my5B2KiyWGD3fVrh59FDZvthEcLNeuJEli2bIIXnzxn0ye\nPNTvepOSCvzpp5u4++6HqvmJ1Q4OHNjOlSs3c/iwQH6+PGakqAg2bdrO/fc/QK9eIl9uPsruWBcp\nXOaIfMNHlOD5UWhl0XY7XMqDS6HyRjtLE93565RRGZgkE+JqKAzz2PCbAWUQudZpUyTIBCRKkG0/\nxsgJI+WJuNlmLt7lXXcq2mghYUuC/A+trN1Z/zEfc6X9zMfM6vm1wwyjm0frWh+NnDDSOyLTQLko\n8Hfybn2Aw+GosxSf8rfZpEkTkpOT1UjuqaeeYsmSJbRu3RqQ/f5qw8zgd09QDoeDwsJCNzm4pxFr\ndZV3NY2UlI/V/qThw8e4bfCzZr1Cq1bn2bULIJOePSV69ZJnIP3ySxiHDrUlN/cIJpM8wTY4OJPk\n5BUVpvY8rY569y5m/frzBAS0JjW1iFTn33ppqY2ICCstW7pEF/Hxh5g79zW/N1Ct9Hzp0o8YPfrB\nmvroahTPP/8PgoKCyMoSePfdIOLiROLjHcTFiYSHy2rI6mSAJ02fxFc/feXypnPixAVZdaaFEmVt\n3WqgcWMHwcGwcd9xigJf5oMVHwPyc0yHZFIxhqFGNtY8D588J8IiYgmVoPCOzd4PboT4tnKTrftG\nbyGVixWm6Swmi3eDr7P+YxU0QoczuAk7VPLxcX5fkZXfVkl5uNWhjFYjfTP6Vv48NYj6kOJr27Yt\nCQkJDBkyhKZNm/LUU0+p0VN4eDiNGzdWJ//WJH73BCUIAoGBgYSGhtY75Z0ekpIS6N79iFt/kkIu\noiiyadOnzJgBc+bAoEHyFY0yoG/XLgepqTbCwmQJuFxwF92ITlu/0hKfntXRXXcVeNWtZs16iZyc\nfQiCwPLlck1JFEWysn6mfXv/6k3aaKBbtyOsW7eqQgKtSwgC3HyzgyeftPtNSAePHvASB1y+LHAm\ncz8Gp4qv0FpYrsxbC6VWtnSpkSFDirjuOoF7n72XwzGpnOK8fJBT8HDjvm6EhUkuEvAhnmjSRCKu\nbSeK1x1TX6+0DIKMEIpJjZLqAukZ6ernp02X+ps29SQyNeXXDDdlYt+MvlfNpNYX6oNIIjo6msGD\nB/PRRx8xZswY+vWTZ5ANGjSI1q1b069fvwaCqg0YDAY3VYoe6ou5oiRJrFo1z6tRViGXWbNeUY1O\nBwyAtWvhhx/kcRgTJ4YQG3sDTZtmqNJyQG3KVYhOqV95pg/T0rZw7NgNJCcfo3nzWBo1iiIgIMCr\nbjVt2jtea/acPlvRe9QKD3r3LmbZsgVekWJ9Q3CwfrSUm6vfMltYYvFOMcWA4YwBcZSTlMob+lcO\nKvqY3B7fjKxUc2bcsBsICwkn3GAirn8nrw3/44+NPPSQnaZN5b+HkRNGutwmNEi3pssO6JVw1FEm\n5ZqN5deRQI7A1M9PJ2KqyDHC830px0uSBMdcqa36MNqjriMoSZLo3Lkz58+f93rsvffeIzc3lyFD\nhtTKBf7vnqCu5qZXXaLTi2K0Lg/btn3NtGnyY7IztoHrrxfp2xegBLvdRFZWK86fL2TTJkl974GB\n4ZSUpKpOEXrpw6lT5zJhwh288orI559HMGPGCho1alSNT0MferUURQVYX5R9lUFRkf5GGxAg6Y5E\nqqghvCL48/OSJCgtdX7A54AWbiugCAvhxSbdaESS4JU5z3DaIm/+6Rnpcn+VR4BrwULhD4WVWrsy\nKbeiOpI/qKxjhPJeFVFUbUQDVUVdEtTBgwdJSUnhscceo2VLedxIYWGh6ozTs2fPCs5QPfzuCepa\nQlraFrKze2I2uwQbivpOkiSGDStw29jvvlskK0seGfHCC/D3vx9mw4Yr2O12SktLiYiIcDt/YuJy\nlQA904dacuza9SAbNqxh7NjHfK5VOz7EbrerRKe9IJg//x9MnvyqeuUlCAJpaVvIze1BZiaAgCg6\nEAQD+flbVA+8+hxJeWJwz2GYM8wUFQmcOrWPtm3l0fankfd1XSiRUzVHo/tCdo5AsNK2EoSu2Wv2\nD9m6KTSAE7lmtndxbv6ejb4aiAEirECVagt2A6Eh4ZRairHf4M/EwgZA3RLUJ598wuLFi7nhhhu4\n//77MRgM/Pvf/yYsLIyxY8cSFhZWq6/fQFDXEJT0WW5uLlFRUR7iiJfIyenJyZMCkgQZGXux2wsJ\nD5ejKUGAUaNKmT37FV588U2vc3uKILTpQ4CVKz/gj38s5r//hYcfLmbZskXcf/+jbmtQ0nkKKRmN\nRoKDg92a+BQrmZSUVZjNn7FxYy+GDr1bvX/y5Jlux4miqL5GUVGReh4t4fm6XZn7agvKxr5kyUps\ntnHccot8/3MfQK7eE5rjIgxfKb48MAWZdNNYFy4Y+PVgexbP/sDnmho3kmjcWCKznHWLTUTdFFql\nEgCNcCO/iB+b0+mGaM6eyqCkoETts1LUeUo6TVsfMhebXcMMi63YmjoFI7+jnasua1A33ngjmzZt\n4tZbb1XvGz9+PL/88gtffvklTz75ZK1Gm7+jr7nqqC81KAVyH9RrTJ3qEjJoaz+JicspK/szHTvK\n0ZMyULN/f/j73z/m+eff8DpneelDSZLo2vUAu3ZBbq58zvj4w2pqsaysjDlzXmPixGlezhqSJFFa\nWuo1dHHt2gU0blzI2rULGDnyfp9E4elmrnwP2sGN5d0nimK5xynwh8i0txXiFEURURQQxQC1Z0QP\nx49v4/Llnpw+Lb9udnY6VNR7FIhcG2oMZENEWCRlZdA4yMSI/iP001gxEHXAQWEhREqxdPjZgCBA\neLhEWJhEbq5AdKtoGkdJkAFbxavgRu6sURWUZLM39yKEa97fQO+hhb6EDteSNLymUVdZg7Zt27J5\n82bCw8Np1aoV4eHhBAcHc/vtt7Np06ZaVzg3ENRVRk0Q3YYNa3z2QYGcCjSbm7FvXzb33mtzI53R\no0t5553XmDx5utdzlAgsNzebS5eO0bx5O4qK5A0hO/tmDh/ez6uvFvDmm+HExnYlP/9nbrllED/9\ntIaMjKVs23Yro0aN9VqP5x9XcvJKQkLSyc2FJk30x0b4Qk1GPnrEpfxf7z6lPqS9bbVaKS0NoLRU\npKjIqrtGQRB46KGZZGYGOL8PAcvM5zl+7Li6lgPmA7KKTPsXORBVvGASTez/9gzffmtkwgQ5itAz\nRQXIzRX4179CeOKeRfTo4aBNG0n9DSxfHkiXLiJdusjrbzu0baWadKv087UDg0HyJMJKikCUyMqc\nZXZTMZols9p7VV9HZlyrCAkJYcmSJbz11lt0796dPn360K9fP+Lj4zl79mytv34DQV1F1NSmmpLy\nMePH6/dBgRxNTZv2Dg88cAupqSfYskX7fBCEn73Oq0RgkiSpYogvvohg6tS5KHOgOnT4XwQBRo4U\nad36Ke6++0GMRiPr1i1m/PhCvvjig3KjIZAjmvfem8J115UxcSIsWuQ9NkLvPdcGqkN2paVyBSk4\nOBiTSSAkJICwMN9RXkCAAYPBoEaV7732nttxY54bw9Ybt3q/UGNgMPQ42gOr1YrdLpNieVF9UJDE\n009bCQtT5o0Jzu/d+32ajKbqE5QyZTcHBAwIBhANojxl9xvnMZ5kVIWdx1eTrdofpUlFuqUJNYRm\nlszE3BmDVbC6Nf4qz3n31Xcrv7DfML766iuSkpLIzc1lw4YNrFu3jk8//ZSCggI+/fRTTCZTrb5+\nA0FdYyivD8oT33+/TXd8u81mUzdYvfNrhRJr1y5n8OCR/PDDu/zlLy7p99KlH/Pgg497HV9R0++c\nOa8SFHRRnUFV3vA9uLYEEeURXmCggcBAA748NX1JdBXpdacWnQgKCiYgIACj0YjDIWHV768lLEwi\nIMBGSYkcaWmJrKTEhNVqo7hYjmYiiKB4jfy9FpUU6Y7EyMjKUKO1s2cFigrMGA5pxmcoEEF6WHTZ\n12nnSbl9GHjJ0quNzZBekK5rPAuuZmILFnUKsFvjL9QvD0ANyksd1zbi4+Np3bo1HTt2pHfv3kyd\nOhWA5cuX43A4an1tDQTlB+pLDao8IUN5nnye49uHDBmt+370zr906buUlZXSo8dht1Rht26HSUpK\nKHc9Sq1s8uS/8/77M3nhhdfZseMbmjeXZ1CBXB9LSgqiRYst16SMvKYQ3TyanK0CoaEQGur6bqL7\nudJWly8L2GwGtm8PZt8+AxaLfuFcEOTITqv8Ur7voKBAQkICCA6Wawct2rXAHOsUWmj6mSIsEXQ9\n2hWA4yXHXRGL0te02XlMdFf1NfYXHaCIAtdC7HjJz4Eq93f5hJMILY0tpJ7R1KgqubuZs8x1Sgb1\nER07dmTTpk306tWL5s2bA3IEf/3117NixQrGjvVO6dckGgjqGkJ5QgbPqEUhm3HjCrxGuQ8ZMtrr\n3JIk8eOP3xIX537+7t2PkJz8HWFhPdm8OYvrr2/P6dMnaN36eg4d+oIuXdJ8rkchyHfeKSEj43Pm\nzrXTrt0VYmPdG4VHjRJp375fbX1s1wQWzFxAQkIgN94octNN7pGJKEJmpsDmzQFs2RJAbKzI2LF2\njlzsSKsM92PPnzfQrmM7r/Nro7uAAAOKKMxtM9Y4KHTL6KYKF0ZOGMklLrmfcKB8TKdmnTieI9fS\nBAQX+fixs0QURxB3JI72zdpTWFiorqcisYrXxVUNEaGnOwfUjxHxdUmYY8eO5bvvvuOLL77gxRdf\nRBAE9uzZw+23385jjz1W6+47DQR1FVHdSEzpg0pJ2UurVkVcvBhOdHQPXRdyLZkFBaURHS2oBJKS\nspLbbx/uNZp+375U8vJu5uRJg0ogyhyo7t378fXX42jatBeXLqVx++3/x9Gje9mw4VcOHizl4sVw\nYmJuBuS+LKXpd/z4AmbM+Izp04uYOXMpnTvb1RlU585BWRlcd9319WrEhj/Qfpe1tX9YLLB/fwD7\n9hkID4cOHRzccYeDkSPl6Edvg1y82MiIEQVe9yuo6UTA8Ryd6AoqJIdIayQUwKHMQxzKPMSPY1xj\ngFsGtWTHjzt8ilYq8zdUmcZnCclNnQnX5oj4msZDD7mbNQ8YMIBvv/2Wbt261Tp5/u4J6loI5JFT\n1AAAIABJREFU5xV/vKlT55KUlED79v9L796wa5dITMxEn9HTE08UI0mQm1umSs179Spm2bJ59Ot3\nJ3l5eepo+tDQUKZPn+/z9SdMuINx4wqYMeNTXn+9iM8++5CxY18gImIpPXvCBx+UcOedExg5Ug75\ntU2/I0YU8fXXMHx4Ef00gdKOHZCRAWfO2Hjppbdr5bO71iCKkJEhsG9fAGfOGOjSxcFDD9lp2VIi\nJ0fg6NG6XqEL6Rnp8o1K2BkpiI+Jl/3vRukINNZSbt9PbMtYDBmuK3dfc67Ad21PFxJu6kzwbRQt\niqIqVqlvvXdXAw8+eHUMnH/3BOUP6roG5TnfqaIalDZ60hvl3rXrITZuXMuYMY/61QCoPd+IEUXs\n2iXXoBYvfp2XXy5m504wGu188sl0lSy167z1Vli1Cs6cgXXrDISGhmOz2RBFK6Wl0KzZqWvWyqim\nkJ8Phw8b2L3bQEyMRI8eDu67z+4lqvh+w0RW7PNmKW3Kqbz9T1bz1cyaLQUW2YlCB0KOAUnSj14M\nlw1cEi9RaK2cFZICz8jR15wrBZ7GsDvO78CWYJOnAmvcukIJVee9BQUFMWn6JA5lHoLO3ucUBAGj\n0VirvXerV68mOzvbecG5koiICCIiIujQoYNaD/qto4Gg6jm0850WLJhO//5nK6xBKT1NWVlw8OBx\nQkIK2bQJjMZwbrihE6IoceXKDh544PEKX99TOHHrrfI48QkTivnpp+N89RVcuSK7o8+Zc5ykJLlx\nx7NWdr9zeQZDCO3aLXQawiojzO3lzob6rUIUwWw2sHevgXPnDJSVwYgRDgYM8N38mF2WQWY5Kafy\nrqMmTZ/E1kPHCV8DJpN8oPmYmZZZLVW59aVLApGREH29azqqdoM/e9bA5aI0CgotUE5wIjUTXfJz\nBXlAY2gW3IwWN7Qgw1K7ebJIa6RurchXw290hvwZPD/zeTIvZ8oRXqnFva7mrNMdP3mceybd432O\nCmpTlem9y8nJ4cCBA1y+fJmlS5dSUFBAQUEBzz77LE888YR/H8I1jgaCqufQznfq2zeLLVuiycyU\nncSVyE5bgxJFkeeee4uysjIcDodq6qidBGyz2dQURkXQE2b06SO7SQwYAMuXw9ix8iDEAQMEEhK+\noGPHaHJyerJ5cyY2m3yVLBuUhtG5c0fS0v5Djx6H3K7kr1zZR3LySkaMGFNzH95VRGUC7Lw8SEsL\nYP9+A40aQY8eDsaOtbN6daDqEq5XnLfZBLKvVH1TN2ebOdbP23mi5ZqWusdOmj7Jy/n7gw+CSDx8\nJ1vPpco2RuXVmjSiCzQjpawGq5werCGpuc8ZUP30yaKimVHHc46zJXaLd+pS816tNmuValOVSfON\nGzcOSZIYNWoUq1atqvB4X7hy5Qp/+ctfWLduHc2bN+ef//wnjz76aJXPdzXRQFBXEZVNFWrnO8lR\ni51jxyKZPn2521BFxU5I64EXEhKC0WjU/UOozDqUaMyTbEpKQgkMLCAysoh+/eRz9esnYjbnqs29\nyto8x23MnTuNzMxCTpyQH9+27Qht2+bx44//uWYJqiI4HHDunMDXXwdy4YKBuDgHjzxip3lzSSWj\nnByXzNxXfSb4WKTu+ZX5SOfPG/hmu52broth4ZsL/Vqb24BA7abssdn2Gt2Lk/kXsTmcqbmNyKM6\nvsHliJ4HBtGA2MIjvadR2hUoUnQf5FZoLfRpVKuHyqrpyjveV38goA4zjLTKQx8r0+Bcl/jrX/9K\nSEgI2dnZ7Nmzh9GjR9OjRw+6dOlS10urEA0E5Qfqqgalne+kRC1xcQf46ac13HffI6oxq81mIzAw\n0M0Dr6bgOd8J5MJxQsJX/PLLRDp1osKUI8hE9M47rwPw0ktvq2tMSkrgzJkn6d9f5NChy7+5PpQr\nV+RoKSUlgJIS+MtfHDzwgB2nGT2gUYppyUE7Cl3Tn1Rm06/bqPORYiATCDpWjc/Q+XrpVpn0JAmK\nigSO52YhPmTzPt7Z+KrcDreGYxlocT+fnjN7IPAdrsZd524kivpGtVcD5f6dO1094jPkScLVHQly\nNVBcXMzy5cs5dOgQJpOJ/v37c++99/Lll1/yz3/+s66XVyEaCIq6F0HoQY4sXPOd+vSBN9+MoHPn\neC5f3saQIaPdFHhXcxqwJEkkJX1EaGiZKhn3lJl7ElRy8kpSUz+mcWNISenF8OH3IUkS//nPTJ57\nTuTDD6Fv34O/CbGEwwEZGXJt6eJFA127ytLw3FyBrl0rkD0rZKQdPZ6HOulV2lhDxq4a0iu0FrrX\nWZwzoiwmj8ZX/7LC3rDj7SYBcgpQITctyTWgxnDs2DECAwPp1MlVU+zevTu//PJLHa7KfzQQVD1F\nUlKC13ynkSMdtG37FIMHjyI8PFydCaXA17j2mkZy8gq6dz9C796u+2TJ+191bY4kSWL16nlERZUw\ncSIsWyYLIpKTV9C37wk1QpQkK6tXX7tiidxc2LcvgAMHDDRtKtGjh8iNN9oJDIQDBwzk5vrxnpzG\nql5IwCulFmmV031eJrP+QDOo0M2y6Bw+Z0TxrR/nzZYd6CPXRqped+lW5zh1HRhyDTRf0xyrYK33\nKTPFdqouR91XFoWFhV6DRRs1akRBge9eufqEBoK6iqhMpLZ3byrZ2T04flxpBpXlp0VFe7nzzrsr\ntDYqzw9PQWUITbEtAgmHw0p2djdOnTK6Pa4XOQGkpMju5XFxMtF26ZJOcvJK/vOfmUyeLG+Offpw\nTUdR+/YFqBHSH/7gGoleY3CmlwA12lBSTWo6TBMVKek5cNVxoptHcylVICIC9gVuQQwUvYUKBmST\n18ogBxd5SuBo7MBismA9byXdlo61xCpPZ9RRw4kBIlbB6npfeB8DlXN0qK77Q6dmnRAyvP8etKKL\nSdMnlSu0qC8IDw/HYnEnfovF4jWstL6igaD8QG2kAPXIQTuFdsKEV3UVeAB5eXnMnTudadP+4SZG\n8DWu3Rf8JTRJkhg37n8oLFxHfj789a//on//6TRu3NjruNmzX3V7T7KF0nyKi8t45BH5uFtuKWX2\n7BnccccptwixRw8DW7bcQEHBteYqAZ06iTz9tI06GnwqQxN9FVDg6g1ybqQLZi7g668D6d3bwaDx\n12GxW/yPlBQVnp4reSC6aTrbRhu2wTo1KyUazAPKwDJGJ3LyeJ3KODpUxf1BITXFSUL5/foitWtl\nrEdsbCx2u53jx4+rab60tDTi4uLqeGX+oYGg6gja5tshQ0ZXqMDTEtqGDas5fHgJycl9dEeyV+Qq\nrli5+EtoiYnLycxcw8yZIosWwcqV79Ov3xCf70lLeElJCZhM6XTt6i6mCA7OIj09lrNnm2reI8TH\nd2fKlFlV+UjrFBERUpXJSZE95+QInCncT1ElUl1ayXR5jgoKlOssRzmlLIPB4D3E0A78j87B31L1\n2lQ50KbTqgxNRAmuqFKPdHyRWvradJhed4RUXdFQaGgoY8eOZfr06SxZsoS9e/eyatUqtmhn8NRj\nNBBUHUAURVaseI9x4wpYuvQd+vcfSnBwcLkKPC2hJSZ+5DYPCqiUyznAhg2r/SI0SZJYvHg699wj\nb1ilpdCkSRo//bTGrdHXVwSXlraVY8easG1bLps2BTujUTAaw4iOHqKSkSRJvPvuDF58cUaVP9dr\nFcrmt3x5IPNWDmMvv5Z7vHbz1m6cFTkqTPjbJH7elwlfQrG1EML0jzMIAf5P2a2KoYE2XZmgf0h8\njPuU3UpDGfWh+UlbsMifTyWUgZZSCwlbEjBPMNfJQERRFKstgFq0aBF/+ctfaNGiBc2aNePjjz++\nJiTm0EBQVw2SJGG325EkiR9++A9dux5S3cK3bNlQYYpN2fznz59Ov35n3YhFGcnuj9xbOV9S0kfq\nfKfyCC0xcTmQSZ8+sHMnBAdDRoaN4uJFjB37Bze5uB7hTZs2l7i4Pnz//TM89NCHPlN3yckrOXLk\nU1JSel5T6b2aRrvG0YRmyGHOjvQd2KKcKTLNX6rJaKrU5l1WJrBmTSC/pmdyZqgzV1dOg21jYxNy\nf8h2F0/oycSV+ytbs7oa8KUcrCwag2Vw5YmtpmC32/2yIysPUVFRJCT4uBKo57h62uRrGNp6SmVh\nt9spLi4mPz+f4uJiJEli/frF9OrlIocVK973OrdSz5HJxLX59+6diSRZkSTIyCgmIeE99u3bQlZW\nT5YvH6j+d/JkT/bt07+aTk5e4ZPQPNewePF0Bg+W17Zzp2xpFBwMJpPreIVAe/b0fk+ygm8B48cX\nsHr1PJ9zqNasmc/48QUsXjzFy4G6vrUA1Cb+NmEhiR8lkvhRIk2Cm7gesCOTykawXLIwcsJIr//M\nWfrKsuxsgSZNJNq00XyugfgknfYdYwg3hctRjvKfr82+MSCA4QcDZFfyzSrvqwYxafokl4ntbwAO\nh8NtrtfvDb/fd16LcDgcqthBkiS1gdZgMPD99/8mPv6gGzl07pzmFe34Mojt10/uGZJdyuV02803\nv8CIEd4Ntb6QlraVrVuNHDpUxtmzIQhCGS1atPNS4SUlJRAScpKDB2HjRhg4UF7vgAGwYkUobdum\nqnOffBGeKIp063ZINanVU+glJ68kPl4+5o47LvDOO6/x8sv/cJ7r2pCbS1L11+nJw9Gx0VyM8W4G\nNa416tZLWh5rSbuNAwkJESkpEQgKgogI6Nq9I7fd5sDwhebggchpMKczQnyMs/n0ooH2HTpx+nyG\n/7JvI4j3i7AZTCsj6XlTPOZjZnLzc3H84CBACMAhOXSn9WKEyLWu11ffu0ftqSJ7IgXmbDOWCIv+\nJN9rEDabrdoR1LWMBoKqIWgVeIoHXmhoqJsCT55qu4PCwp5kZQlkZOylZctCLlwwYrW6yMEzpedp\nENu9u8CPPwbz5pslvPlmEB99NMcv1Z6C7t1vIyLiM3r3htTUMoxGkcOHI5g6da7bcWlpW2jbVh59\ne+ZMGrfdJvdO9O8PR492Uo9X7JBOnnQXdRQW/srJkzvdamNvvz2Fu+66R82rK9HTn/6kEDDMmLGU\nl15686o2H9dHmLPMuqMsrCX6qoTGTWJoz0+MHVvEoEESrVu7b2xe53PKuE3rTG69PVlXzPLwvo24\n5N6ByPUivfHtmvMF/WiS1yhYsT0mpydFRN+NuI0gvm3F9aZK1X6UBuBKILp5NOlrneaw4HqfdbxD\niqLYEEH93lFVGbniM+evBx7As8/OpEmTJiQmLqd9+/+lVy+lybW/eow2IunbN4uUlBakpJTSosWN\nNGnSjJMnLzJ6dCaCAMOH21i37nC5qj3PNf/44zyviKxv33Svc0ydOpc5c14jPv5m2rf/PzeS7Nbt\niKbOpB+9JSYuJyLiM7fneUZI2uhJOWbEiCK3Y36v0JvwCmBz6Ei3gUtXMvjD3XY27HmGz3/O9PoN\n5mbn+nwdL7slZZK7stFrXR88sQJVMZdvvUjqmYuuvictwSnSci3J1eYO5OmmjtPhvF+0bq+UyWii\n+Eox9jZ2n64WV3vCbk3UoK5lNBCUn9CSmHYKbVU88BSJt57qDjxnKdlJSsrn9ddFvvwygtmzkxk3\nbiC33ion7/v2LWXnTkhIeM/v3qeuXd1TjIqLw4oV7kIJJc144sQAwsNdEZI8iddOcbF+Y64CZQLw\niRPO0Q7mNFq2LOTEiW+YMuUtBEEgPX0bly/fzLp18mPy+A3UY3732Izs7gCuirGE7GEnAm1QIyEH\nVgID4UTucXbGbfU+1x7kDfsSbnOcrA6nu7je4MFs3C2X9NAI3w4YWoIDwtdE0O26eI5nHFcbdM0l\n5kqZw/oFxd/PCSWNqZxfd+RGDESsiaAgsMAnsV3tCbsOh6OBoBpQPpRif3FxsZoTrooHnp7iTb6/\nfEWeMiQwLu4As2b9jW7dDrs93rcvHD26m6SkBHWirS8opLFr1yXKyjKIiJCQJDCZ3NV37rLxy8yd\n+7NbQ3F+fj5RUVHlvta0ae+oUWZy8ko6dBjvjBgL1VrUlCmzSEpaQceO8mMKlGNuv32Y35/vbwXK\nVbo1z+nA0ALfm39lRAaKhZFnQy02bBv1o7LI8Egsg51pL2fNCpCJS5GYe5BBebipQzwr561kzHNj\n1I3egsVlvFpTG/1Aj3+vlf9nzja7BCU6hFxkLYJQ5z80bhbxGfEqsV1NNERQDdCFJEluYgeQGxi1\nYy6qirS0rVy+7F2zKSqS/2CVeo6s1JPrVCYTPPxwMa+//l/i4rqTlWVQIxKAkBCRzz+XJ9qWF0VN\nm/YOoigyc+ZkTp0ycPbsUQoKoujT5yZOnkQVSviSjSsNw08//aLf79ezztSrV7HbgML9+7fyyy9R\nZGb20NTrwGLZ+rsjKEHQNI2eqfh4spFrQ4KcolLOUWnk699tLdakGbWb/jea24q5bT2Ap5giPUP2\nAbREWNwin8gM/bElYlPR3VLKw9ndZ6RZS2hQ8TXADb4UeAUFBYSEhNRI4X7atLl+pQO1dSoF995b\nQNu2/0dAQKAakShITc30K4oCePbZN/jb38YwdKjEli153HnnX9XneU7R1aYg5bTfYjZs6MxDD/3R\n67x6Fk4pKd51Jq2ir1u32zh27N8MHjzBS+FXXFzMe++9wZQpM+utoq+mlrVs5UQKfszAfCZdJidl\n0y9PjdYcNSqKblsN1wUfJVibpB9ZGQJA1EZ1vkQJechkFgSC3cCJSDP3Tb6PA+YDcAHvSKea8Hd6\nrj9QzXhHWVxNvv5cNNQgGlJ8DUAURUpKSspV4NXWSA5RFHnggUH88MMmL/LzpY67cmUbAQGBXLnS\nk717c7BajxIRIWGxSJjNX/pFUBs2rCEuLp3t2+G550Tmz3dFX75SkElJCaxc+QHjxxewdOlHPPjg\n416koWd3pNSZTpxwHadESMOG3av2QOmNfd+wYTXHjv2LlJTev/kG3vPFGRzr9yt009zprxrtEuy4\nsoOzZ4eRU3QAdVSR1nRVwFWD8kQZuvUpHLiLHZwICYZif9alkOtgkBDJ5hLZXIJYKq20u9pQpO/l\nuXPUNux2e0ME9XtHUVERkiRVqMCrCShEp7zGrFmvYDTuYPbsv/HKK+4edL7UcQUFBQQHB2M0Gpkw\n4Q6eekpyigskvvii4qF/oiiycOGrjBljpU8f1AZgJfryRYzp6V/QrdsBLxWf9hit3dFdd91LWVkZ\nEye+7mbAqb2dmLhcddWIiztEcvIKVSwiP/4R48cX6pLXbwVWqzzU8MqVarw3A9jG2sjSzlbH2WOU\nES+numzOWpJCVAoCcdW5fCj1TCtNtN9+A1brURo1gnNl0PJniHRmyg6eA7sz1YiEu0y7hptxK4JW\naZeeke6KejQka5JMmNaZsNqsFFoLdXu01IZfbUrPqQzU9o5B7bmYN6T4GkB4eHiduBVoR7rPmLGE\nqVP/WakUYnlii/LUdbNn/43WrS/y88/w8svyff36uaIoPWKUJIkJE+5Q3SJ69/a2R9Ku56abDpCQ\n8BUjRtyvkr7yGSuiE7k2tZAnn3Sdc+nSefTvPxRBEFi/fjXdux9WyWvNmu/VUSN6ZFfe7fqIixcF\ndu82cORIADExIhEROmYMgUAW8F9AyfQob0dR8SnH6UDxtJs0fRIJWxJcggct/HDBCZbsPNBrCGlp\nzWnVAvaePUikcIVAK9jt0CIogGKDhMMegKMMbFccCEIAUeFNsNr0Zz0pnoJa1MRG76a005KLhpSj\nY+XXSY1J1Sflzbh6orTQiCaq5RXoJxpEEg2otfRdRdCOdB8xokg3itKDsl4l0snKEjh9+gTXX98B\nXxNtFUiSxPbt3zBkiLyxuKsBs3ySW0VkaLfbSUh4lz//2UU2n3++mLFj/4Ddrn8JnZSUQJcu+z2a\nkI+wZctPDBt2L+vXL3Y737JlH6rRlZbsFGskhfQ8byufmfL/6tz2BX9/Pg4HHD1qYPduA/n5Ajff\nLDJuXBlhYfDG5zonGQjG00YwgiSAQ3QgNdNc7ftZw1kwcwHmCWb9dJUfjguNGtlo1uw2RHEe7dvb\nuXz5Dp55ZqfaFvD55zfzl79s5Ny5AEaPdv++fZnYVtsQtiJ4uJkbcg2Erw3HJJmI7q8ZOqjXo5WH\nbDRbx2nIhgiqAX6hpklMGz0B3Hpr5aMoJdJJTFzO11+PY+hQ/Ym2WiiTejMy4NIlgcOHO9OkSTNA\naTxOZfjwMV5CB23aT5LAbrcREBCIxfIL/frd6Wy4dZe/d+myn+TkFdx55926a/nxx684f97BgQOd\niYpq6lyDXJuSJEm1SFLOFx9/mJ9+WlupWpSWsJT/+7pdGaJTIIoipaUB2GwSpaWlPsmtsBAOHw7g\n5EkjTZtK9OkjEhsr4s9XbWpswjLKR+SjbKDVDRKVTTpH/+FGjeC7715GktLo2LEbwcHuvXRdux5i\n+/aV3HBDxc3iVw0evVkiIhYs3pJxheS1kZR2uKKGpLT9VFcDDRFUA+oE2ugJXP1OFUVRkiTx/vsz\nmTJlpvpvf+c6adV5vXopNasI5sxJAVBJSU/ooE372Ww2LBYLCxe+zTPPvEZwcDBmc5oqnfe0cNIj\nKEmSMBgu87e/iXz+eTj//Odat3XPnTuNy5dv5vhx1wA5hbwqQ1A1lebzJDpF5Wk0GgkIEDRrdBGd\nKEqcOyewZ4+RbdsMBAfbePjhYpo3l99TSYk7kbUI7kToPpHQUPfXNhvN+r54nlN2dZCe4ZqsW65E\nWtmkv9N/WBBg+PALrF+/kDVr7uDUKe+2AFHcSrt23gSlSL/PnDHQqpWDgAD5Pde36bO68IhQr1Zq\nT0FDBNWAq1qjUDax3bs3IYqR/KoZ/SNJYDCUn1NISkogI2MpKSm9OHw4nfj4m/0eVJiYuJzY2L0A\n/Pe/8Mgj7g3CWnNaT8KTJDlCKC0tRRRFNmxYw/Hjn7N1a39GjLifV15xRXNaC6fo6P5ua1DmPsXF\n9VCl53omssqcKKvVitForPM/Uk+iMxgMSJJEYGAggYGC01FEJi+7HQ4dMrB7dwBWK/Tq5aBjRzh3\nLpD27eVeJc8obfKMyVwqPUGYZkaTJEl0atYJSZK4pCe9y8NFTMdRC1gGg0Emyea4+n824z52XUEg\nctSUgKzkM7iOCS2EQDuEhECxBLt3Q1RUKTk5Zlq1sni1BezZY+Cit7etKv1+//0gnnyygNBQgaCg\nIO8DK4HyLIcqgkLaqoCiEqnSq42GCKoBdYIffthe6ecoEdD48YXMnv0GjRpls3VrS15+Wd8yyTNN\nt2rVl5w542DjxjaEhl5g4cIbadOmqWrqOm5cAXPmvMbQoeedQod0nn76Id577zNV7moymQgMDCQl\n5WN1aOK+fbuYOlW2JfLun/qAIUNGA/DuuzPo2rUHR458yo4dzd3W/VtQ6eXnw549Aezfb6BlS4kB\nA+xER8sKywMH5Fyer4gu83Imx/p512kMGQbfKV9tBJUDPCTfVM1ZFQWdUl/Ru275DigB2uK1Ucfs\nhQd7w9q1IYSGgiCU0KIFnDp1gvHjJZYtm8fQoXdrjH/L/3xqssxbnuWQErH5mjBsMVncfAcVpaO5\n2EzxmmJKrCXYApz9X5WYylsbaDCLbYBfqA0hhV5Ta3lQhAryeuRNYs6cQs0avSMiJU0nrz2XV14R\neeONfF55ReSLLyKYO3cdSUkJRER85jxLJj17yu9TFK3k56/lp5/WcM89/6NuRImJy+ne/QiCII8K\nWbduPz169PY5ODElZRWSJHH48BLS0loyeXKBum5Jgq+/hri4g7qjOK4VHDggkJsbRNeuDh5/3EbT\nphU/RwvzMTMcxKthdod1B02aN6mae4G2BuMjMDcAgsmIY7B3Q25WFhw0xTJo0CDOnNnNk0/uZudO\n6NRJUiPfNWu+Vy9AiouNlJUFUFwsO68oqUvlt223GxBFBw6HgN1urzXFpUIcFU0YVqAVaxQVFfHg\nSw+SeiFVl9irMpW3OmiIoBpQZ9Cr9fiCtn60cycMHixvEgMGCCxc2JnrrnMJHbQRkdYBomvXA+za\nhVr70jbfep5XkmDXLqWJ9y3uvfdhr3WAu1lt+/Z9vSycRFEiP38Lp0/vpFevQhyOYnXd8+fHOs9p\n5tKlGygo8K4vKSlBg8HASy+9US8jLEGA66+XGD/eRlUzV1bBCmO877dttEEx9M/oT1mZQHrGfkoa\nOaMCz79e7dW+n9ZDzcOhoMCm23RrMkFenp0ePfrTtOm/AXlo5V//Kj8uKzU/4Z57/geAkBADQUEC\nwcHeLQXPz3yeTftOsC7D4SYM6di0I+/8/Z1KKy7Lu1hU+gC1tkfpGc5RGo3xb9fTCifqEA01qAZc\nVSh/XJ7ihmHD7mPu3Ok+oylt9KTdJPr1EzGbZaGDtvlVGXOhJaE//rGYjz5yPbdXr2Lmz3+Nfv3O\nIQiQmSk3jW7fLlBQ0IZBg84jCKKb/FxPbt63Lxw/rgxOfNdt3fJ4j29p1GgZ27fDX/8qqus+diwc\nEPjznx18/nkEL730ttf73rBhDVu3fkLjxgIpKb3qbYTVqBFVJqeKEB0bTeJHiZw7JzB64iiOD9ys\nf6Cno7gfm6vDAVEGCFklN91GRsKp03DD9XApH4JbnmT16q+IiLiZX37JoW/fDARB/g6964cCBoOg\ne8WfeTmT00NSOe1xvyHDQJiz8KanuJw8Y7JurcmcZZbdKLzej4OioiIAZk2d5VynwP3P38/Wc1t1\nm5AlSVIjOqXupxKbjzTh1UJDBNWAOoGnGeusWX/j6NF/+YymFJl3amoOvXsfc9sk9FzItXUgpa60\naxeqc4Ty3D59TpKa2pFTp1oQFKRMYRUpLDRz223ya9x6q12NxJR1mM12Tpw4oDGrLfMa1wHyH//q\n1Qu46Sar12sHB6fTqZPgUyghSRKJiYuIiipl4kRYtuzar1NVB5IELYJjaJUhcvDoAaz2fESH/JhN\nLP+5vhARAbfHwZEj8PZ0+eIH5IuO1FQDu3ZF0759J6ZMmcXbb09jx47mnD/vil60ykpthvRWAAAg\nAElEQVRJqp4vofK9Pvv6s25OEBaTJmJ0RjaRZn2z14CAAF3CK7+HTcJms6nHz542W7099oWxbGOb\n13Pk9oJSdd0V9c5V9TfbEEE1wC/UZA3Kk0R69izmjTeWMGNGkU+puCLznjXrJc6cacL33wtuU2k9\nXcjBpdQLCTnJnj0xXLiQT3BwAZs2yec0GsO5/vpO3HxzDzcZeWLicjp0+F/dplzluG+//YLo6Oc8\nRmR4qwiTkhLo1u0QGRlydHboEBQUCAQHx3LhwlkefVQmOD2hRHLySkymA8THK31V6TzzzGMsXPjV\nb4qkJk2f5HNKrgJJkli8eAaPDF/In/9sY9KkIWxM201xMNhtYHVAmZcNhQbafh5nQ2pYIdzURf5O\n7nZ2AnhG5xkZrsj2+ednsWhREC++WObzZarztSjKvPSMdFfflw8nCJNk8nKhAFkgoUcKgiC4fwb5\ngAQG0UBmSCZjX5D9K9tHtWfRW4tUlaav6EXbVqC0Fvjqr/N8jj+3rVYrhw8fJicnB6vVSlFREaGh\nob+p370/aCCoOkBy8gq3NJlnXag8qfi0ae9QVFSEwWDAZDJ5Pa6NtEQxgwULYmjTpgmNGnXl3Xff\nYNGi2Uyb9hYWi4WoqCjdH7wvLz6tQ8WhQzsoKCj/GPlcW8nOvpnAQPlqHSAsDCyWcEaPPu3V7JmS\nsophw+7lnXdeJyvrF4qLy+jTRz7mlltKWbMmkeTklYwYoVOwuUZhzjZji9J3DQfYt2cvtz7Sl8zT\nRxENHzFtGdjtVuxFID2hOVBPQr4R99lNAM2AgdBpD7z0FKSmwurVsGEDDB+O7nfiT4RU3eu3CseM\n5CGrDpuhDjsEZ7qvTE6FKvOewH34ofmYGWxAARCCLEYR5Ejoou0iFy9chIEgHnWFop51LC2iW0T7\nLZX3p0lcua0Q3ZkzZ3jxxRexWCxcvnyZuXPnUlZWRlRUFJcuXfrdEFUDQdUB9u/fRm6u4sogcehQ\nGq++WgC4S8V9/QjL+3Eq854mTLiDP/3JwdKlobzxxkpCQkJYt24VGRn/Yv36W7jllkE+Ux++TGq1\nmDz5TRo1auQmgVZUidrzTpsm/2F5vs7cudPIzCzUdTiXJImDBz/GZrMxYID7hnn33SJLl85g+PD7\n6tUfabWDa4VMtG7iNhAkKBaKOVx2FB4EsKJSWUUeesoU25XQTJDrZAryN0HuZVi2TF57YSEEBITy\n00+BbN4MQUFhXH99x0qn8Kr6lUyaPsnVl6Tt79JK3xs7HxusUdOBHGVthIsxHk1YWmIJAkbje2y9\nj3pdTUjJq5Lm69KlC5s3b+bbb7+luLiYSZMmYbPZKCgoqNbvftCgQWzfvh2j0YgkSbRt25bDhw9X\n+Xy1jQaCusoQBIEpU2ZhNBoBV2OrXjqtImWfJ5S8+Jo136tj3bt3P0Jq6nqGDx/DqlXzVFFG3753\neD1fkiRmz34VEJg61T/puxaVUSUqjbh6a3j22Tt55pkSnn8+kI0bI9i0CcrK7EREWImMhJCQU9e0\nJN0T5iwz3OX8h8cGqvKeP2oyJ8mFFUJ0W7kvq6QEGofAjY3AYgGDQb6vfTNodaOcAgaIjw+lfftP\nOH78QR55xEaTJpV/H5Ik+CSojk2jyVpvwCYexWq3Iji9mcySa8Ktrp1TZVR05fQsRbePdk3tvYag\nFUkYjUaaVOWL0UAQBD788EOefPLJmlheraOBoPxEbRnK+pNO094/Z85rPPPMKyp5KAXe0tJS7HY7\nRqORdesWu02v/eKL9xFF0U2U8dNPaxg79g9u509KSuCXXxYRFYVfJOO5Nn8tl8qD7OknO0w8/ngQ\n110n16VefHEEf/rTLqcE3v6baOxVai4Xr1x0rw9VFc5IIzABGl2BCBFu6gaPPipHSTNmQNu2kJcn\nIAixBAY24/vv5ecokVJY2IM+T1+VCMpqlZuXY5t/DB0MmO2D2HrjVvVxZdy7rwm3njCIBrkRWQ8e\nKsaq9CxVJKi42qgNkURdGGNXFQ0ERd2OY/AnnaZAiVDWr+/K0KH3UFxcTGlpKQEBAQQHBxMeHk5i\n4nKuXNmrPkchpMWLX3dzbli69CPuv/8x9ThJklix4n2iokqYOJFKk4yvEfFaIq3oXPL4DffR8J99\ntghBoNyJvNcSFFI6fSaLPGuBHDX4EAJUFe3agZAP99wjq/FA/syGDTOwbt2NxMY2oVWr7rpR7KJF\n5ZOQIJTXf+S6XVgIO3YEkJYmjxJ57DE7S5YYMZ+s5JvJQ05lOvuXwk3hlZZ96851ukZgt9sJDg6u\n0XO+8sorTJs2jRtvvJG33nqLO+7wzqbUFzQQ1DUCbYSydOl8Bgy4C5PJRGRkpJvSaMWKLxEEiYUL\nu6jNu5cvZxMSYnbb4OWBgysZNUpWLyUlJRAcnMZNN8mPd+6c5neaUU/ariU4f6NPbfSkrDM+/jCr\nV39No0byRF5Jkjhw4CRxce0qbRxb21Cail98cYYuGX/6w0T2nE1wyaZLq/mCArARAnMhMgiCg6BF\nCwguhcaN4eBBWaEHLuVkkyZ38vLLb9OyZeWvov2xMioqgqSkAA4fDuCmmxw8+WQZjRtXs0bnFHUA\nsLbyT1c/73KgzKZq36x95V+gFlHTEdScOXO46aabCAoK4r///S/33HMPaWlpdOjQocZeoybRQFBX\nGZVNFUqShMPhYPXq74iLc02z3bx5HWPGPOJ1rMGQy+TJDtWlXBAEZs16iZycZixf7to0y8psFBWl\nMmrUWDV6KiwsU2sSffuW+h1FVXVwoif0RsM7HCLt23dk6tQ5ztdaQU7ORIYMmVCvyAlkgj1y5FNS\nUnqqa1NIa/jwmVywZrjXWSoRLQVeBr6BoFAoLZE3/GBHIFGhoTSONBHd1EBBAUQSTV5JBmWGYrKz\nwWiUxQ5hYdC0aXeiouZS3ojb8tJ45T2WnS3w668BnD4t8MADdp5+uszD+LZqAorI4EjiW8WrabpL\nwZe85OWKis8q6A9GBOSd7htkQ1ytY7sIxgAj9w+9nwUzF1BYWKj//DpCZQhq8ODB/Pzzz7p/r/37\n9+eXX36hjyKJBZ544gn++9//snbtWiZOnFhja65JNBCUn7jaQw1FUaSsrIySkhLmzXuLM2e2uk2e\nXbZsAffd97Dbj9FXmk0vjXjlyhUaOWVdntETVC6KqkwdrTzopZxKSkrUCFFJAY4fX1CvalByXUx/\nbcnJK50ehBn+RRGBqCmt4Dy4sR2cOweBDnjmD9C/v0sW/sILS73k9u++G8STT+bRqFGwbg/PkiXV\nbaZ1//fZswJbtgRw/rxA48YSPXo4GDTI4fW8cglqM1jzrESuda9DmYwmRvQb4beSrlzvvYH4VPD1\nzeh7VYxfq4LKmMVu3Fj5/PDV3tcqiwaCqkdQLFdKS0ux2WwYjUY2b07h6NFPnTOE5OPkGsxhN/Ko\nKM3mCW2T4SefvENpaVPOnCni559dxwQGhlNSoi/WmD//H7z66mygcnW06kCbAqxvNaijRxPUtcXG\nppGSspJhw+5jzZr59OpVSGrqWi5fblXxiQaC8A3ENwJLAXzwHHz+OZw4Af36yYf06wfr1sG//vV6\nrcjty4uglP+fOCGwdWsAeXkCt9ziYMwYke3bA3B4c5PbeTs164RwTHBbc3pBOpbHLNhw7wVTBgv6\nC8+eJdWF4hre5ex2u98DTCtCfn4+27dv54477iAwMJCvv/6azZs3M2/evBo5f23gGv7qfjtwOByU\nlZWpE1mDg4PVrvE1axbyzDMlvPlmOD/80BdBEHA45Ga+4mIXeVQ1zZaUlECjRhk8+uhit+O0Tut6\nzzl+fBlJSbcxevQDVX7fFdVsPI/1FFDUlyhKkiROnJjHgw/Ka7vtNhvz5r2BKEp07XqQbdugVSuR\nIvM59ydqRo0H2CE80ERpaQktQyT+0B9sNgPz58dw6tQF7r8/3+27vfNOWL8+q9IkXR07IlGUU3nL\nlhmx2eC22xzcdJOIEqhpz+05r0mS5IGFt3dvx48LflTbLEAn8nHKxRWZuIJLpy7R4oYWXutSGnI9\nyWzkhJH6IzmuIdRkDcpms/Hqq69y9OhRAgIC6Ny5MytXriQmpv6qRxoIqo7gKQ8PCgoiPDzc7ceY\nmLhcJZ1Ro0RiYiYyYsT9WK1WJEkiVDN6VUmz7d2bw6VLx2jR4kaioppSWJhKWtpuXRPa8qThvnqa\ntDOpPv/8A0aNGltlgtCr2ZR3bF0p+TyJVJlqPHnyqwD88ssKbr/d/eKgT58T/OMfz/LII1YiIuDC\nBfDaZ5yF/4DvoUdrKL3QnLBGp3j7bfjwQ5gwQbYaiotrx+7dKZg1nql5eVBS0oj9+7d6+BdWL4Wn\n93yHAw4eNPDTTwFkZRl4/PEyYmJE3ddR7tOd1xQLx4/6rn+pcMrF3ZpxAWOakYw7dTTjPmTknhGV\nudiMda0Vk9FEdPto9+PqKWrSLLZZs2bs2LGjRs51tdBAUH6iJnO1JSUlFBUVucnDfZGHr5SdMlZc\nwbRp8siCCRPu8Jr19PXX43T7mrSWS3qGs76IS3lO164Hq9RQrLy/ytST9AQUWpeD2oIkSUyc+Bil\npT/zzDPHWLjwK5KTV5KRsZQNG3owevSDHD26jZMne7J/fzZXrhzFbpfFHcHB+SQnyxNpp06FPc9C\n8Gpo00ZO2SFAh/ZgCYI5r8CkSae57z6F4GQLrK5dD5GePpA2beRxG3l50LKlRFgYdOumLxUv//34\nT2A2G6SlGdi2LYCoKInBg+0EBkJsrH4fUnXJscL1iDZ9OycfmdPK1pXqYy3G4XC4RZu/NzQQ1FWA\nJElqCk9ppvWUh3uivJTdoEEjK3yOdsyGHtFIksSqVfO8Gnq1s6N8EZe/dS69z0GJRCqqJynHTpw4\nDfDtPFEbkCSJd955HYCuXXtgsSTSv7/Ijz8mkpy8gjVrFjB+fCGffbaIUaMe4OmnZ5OUFMCePQMJ\nC4OJE2H6dBg7VnYJj46Wv7+7ekNsLNx2G/z6qzze5IknYMcO2aS1bVuJW2+V19CnD7z5ZjidO3ej\nXTvZTfzUKYGffw7gj3/0Iwqp8nuHsjLYsiWAXbsMtGkjMXasnTZtJK5cqdiLz59yyXNvPEfm5Uz1\n3+kZ6f71KDXHW+RQC/Oa6jplrIUyyfr3ipqpvjXAC4rgoaioiLy8PMrKyggJCcFoNBIUFFRh2J6W\ntoWsrJ4sXz5Q/e/kyZ7s2+eeNlHsiURRZOXKD+jZ00Uen3zymhfRKNiwYTXx8Qe9CFAhNe15Vqx4\nH0mSyiVNf6Ck9JKTV7JmzXy311i9ep7bFaxy7IYNa/w6d2WgEJCvK+akpBUsXz6fgwc/ZtGiqTz3\nnMjOnTB6tMjChS+rNlLx8YdJSVkFyCKJkJB0evXCmZKV1XZHjsjKO0mCggJUAurfH86fl+/v0wf+\n8x+4/XZ3FeWoUSJDhkyoFDlXJ4opLASz2cCnnwZx+bLAo4/aefBBmZz8he5rb0Ymko2wPX07/9n4\nH1IPppK6J5XUM6lYyiyQAIYfDLRc0xJDbsO2pMDhcDTMg/q9oyavmBR5eGlpKZIkERwc7GaqWlbm\ne1SBFuUp40pKStTbSq1o9mybG3nIcI1v94x2Dh7cicVyMydPupu9Hjz4hU8S0srJtblxf+Tk2pTe\nnDkzGDr0gs96kvbYzz5bxF133VPh51UZwUV5tS9Jkli6dAZRUSLPPFPCrFnyZ620j4SEXFSVar16\nFfPqq1P417/u5cKFLeTlBfHII/L3e+utkJwsj7H4+mvo2FF2ddC+5wED5Mipb1/o0AF274YMZ81E\nbqy9ocZTmHoElpcH27cHcOhQAHY7PP54GW3b+vdcz8d1obEgcrMp8pB9i4hY15Y/dkSF4rt3Brbm\nbqXtUHnBSn1J62R+LaNhHlQD/EJ5NSg9P7zQ0FACAwN1N8uanis1blwBs2Z9TUyMi3DOnMlm4MBj\nqjWNZ7ruuefeJCwsjMDAQFWxN2XKTMaOHUBYmDdxFRWlqnWuOXNe4+mnX6wwTalFSoorpRccfJKU\nlEacOHEzAKdPZ9G2bXt1M9am/+LjD7Nhw2pGjSpfLeiv4EKv9gWo5JaUtIL8/BPcf7/8mQ0ZIpNI\nnz6ycGHwYEhMhOPH5QioZcsLLF78Kq1a9aNv30/dCCgyEhIS4LrrcCr5ICVFdluIipJ7fkpLw0hN\nBZutiEuXwomK6ojJJKmNtZ7RU01mn3JyZKm42WygRw8H//d/ZXz6aRBRUb6fUxFBKY8rAgXzMTMX\ni/w3abWYLPJIDM/UXR6yo4QChfQ2gjhYVBt0FW+/yvjv1Wc0TNRtQJXhcDgoLS1Vx0kEBwcTFhZW\nbt9CTUVrnim3u+4qICbmGTWSmTXrJc6fd3eP8NU8q0Rhs2bZadQog7vuWuwzIlKO3bixC/fe+7Df\na129egF//rMiw3awZUsegwaNQ5Lg++8nMnjweLfoSamN9e5dzGefLWTkSN9qwYoEFxXVviRJcpLb\nzSxdOoPGjV0RU9++MjH16QPdu8PPP4PdLlsIRUXJ9aTk5G+w20XS0hx89x107So7h2dlQevW8Pzz\nssed0qw/dSo8+eRCrybbb74JpGdPBzExvi6E/PmsKyaRCxdg06ZAzpwR6NNH5K67yggJ8e/c/r62\nEr2MnDCSi2cq4SKeh1p4MF4xYgqRZ54VioWIAzXR1yVUib4bmWnHc/wGUJlG3d8ifr/vvIrQCh4c\nDoeuPLy2oaj4PvroRaZN0xcs+Ns8q0RhTz9dUOFUX3c/wA+5557/8es1kpNX0q3bIafjgqxOmzxZ\nZMqUZ4mL6+hGLL78+MqTk+uRzrBh97qRkkJAq1fPIySkmJ495c9s2bIPAIHx4wv44IMZbtGT8vo9\nesCcORAcDLm5jQkMtNK6tTyGftEiGDasgE2bArhyxU6HDhAXJxPauHEwcKB8jr59Xem8u++GVav+\nfVWHLkoSnDwpsHu3gYKCQAYPdnDvvSKeArHyCc73OI0aQ2Pn/weDaa3JZQ2l1LGQffMsBkul5jpd\nq2iIoBrgF0RRVF0eFHl4UFBQnSl+3ntvBrfffr7SjbmeUKIwf6b6aiO2bt0Ok5KyktGjfY9nUKCV\niJ89m0OfPhns2iVyww155OWluRGLp5xcFCVAoqBAvxbjq4FXFEWnIONmNbqaN+8NWrQ4RW6urJzL\nzISgoP20a2fn668hKiqTc+fcTVbz8+XPtl07ePhhmD27Ca1bZ9Kli3y/LIqwkpOzhCZN5Cjpww+h\nd29o0kQWQ4BMWDNmwNat8giKli31fzc1/XOSJMjIMPD/7J13eBTl2sZ/syW9QSJIlRaKlNDBAApI\nbxY86uexfxbE7hEQpAQ7RUCQY4dg+RQ99JKEgPRmwhEIoSUkVBFI79ky8/0xmdnZzW4aCQm693Xt\nlezOzsw7szPvPU+7n3379BQXw623Sjz9tJmQkPLXrcq+aux20FhFnZM6s//oftdtN/5CcMeg3HAJ\nSZIoLi6muLgYURTR6XSVirvU5Lj27PkPrVrB7t1+hIZ2U/XgKqN/p1hEjz1WwGefwcSJ8ueKNXb4\ncDxTprwHwJw5M0hN3Wnnelux4hNGjRpfpuvNbDbz0kuz1M/efHMUffuKfPYZvPIKzJxpRRQVa+YT\nFi/eqm7v448jeOmlqeh0Orv22q5cdmBLuFi+fDaTJ9snZPTufY7Vq/XMmweTJnnSqJGJS5ck2rSR\nyMiAK1dkl1xOTjsaNw4mPv4kjRtn0KCB3NhPkkCSUsjNtbkA+/aVrajbby+kbVubxfXqqzKhacc1\ndChs3uyNl1cQt93WukK/kSMqQgCCIBfXHj+uY/9+PUYjhIdbadtW5LPPjGWmgldVLNa23IkfUFHM\n0OIqCMUC0nap9HfTgJWQI+TAWiDQfnlyTjKi9a9PTuC2oNwE5QBHPTyDwYC3tzdWqxVRFK/7YqmO\ngt8tW9Zxzz159OwJ8fEioaETK10sKwiCnfXUq1dpodjY2KN07doTSZJISPiUkBBHPUDnhbpKZ9/i\n4mJ0Op36BBgbu54uXU7Y7W/UKDnL7ZFHZGLZsOEX7r57NFu3buTEia+IibmdIUPGYLVaUVp3xMau\n5+TJr4iKCiMh4QAZGV1JSbG5nzIy0vDySubHHwFS1UzGO+6wsHu3FUmCkBATb7wh8dFHFuLiZHKe\nNUuOF33yiYWcnCAaN84F2qHXBzNr1jnq1fOlcePTqvWknIeuXWHVKnjySfmz8HD5/fbtXuzb54HR\n6Ev9+q0pLIQhQ7rUaE2X1QqHDxs4etSTevVgyBALLVtK1WLZVNlCchIT6pckm5Z7/9xrL66u/O8J\nmJFbCmfZL7+adxVcJXJck7ddFXWIutasENwxqL/vkTtAO6kCqh6ekvCgTe2uTTgmHFS2WFYLeXLv\nzokTKXh65qlCsUajH4WFObRunceaNQsQBIEXX7TXA1RELLUWm8VioaioSBW6VWJzJpOpJIU9jrS0\nrpw8eZQZM+S2Bn37wvr1Rn75pRcgkJv7O2PH/oOtW7/khRfyWL78c4YNG4fRaESSJERRJCrq3yWF\nskuYN2+TSvrKa/LkMfTtayUqCvz8bA8DggADB0r8+CMMHixP2v36yckM8fEyWQoC9OyZwqZNKXzw\ngcSKFf7cddfzpKW9RG5uCMePy+riv/5KyTFDYaGBZs0sdqQ1fryOU6fuYunSX0rOtY7UVB3jxpXd\n6qLs3971suJiuXPtb7/paNLEwNixJm67rbSpVDErqOxxVGZ8SjafxQJ//qmjcWMLgiDQpkEbWavP\noQuuijXIs5OT5y5ppWRvVWkQ4BdA1GdRVTuAOgi3BeUGZrOZ7OxsjEajmnpd156kFERHr6FLFzlA\n8uOPsuvJMWakFXot6zgmTZrjVEYlKmo1Z848Q48e8H//d4Q2bQS1cFTRA8zOzsbX1xe9Xk9xcTFF\nRUVq3ZeW2O339xHR0Wtp3XqCw2RupEULW3+n6Oi1alJF584n2L59s5pmHh29lrCwE2ocbPfuWLvY\nlLL84EHw95c/mzwZ/Px8qV+/AF9fiQsXZIsN5CSGo0flmJSSZWc0SowZo8T1jvPNNxFMmZLLq68m\nER7ep2TCUGZjgaSkPIxGf375xTa5SxK0aFE1N15lkJ8PcXF6Dh/W06qVSOfOIvfeW4ifn3e176sq\n5Pbx9CUcOqRn1y4d2bcIzJgh32cGg4GXZ74sK4476+FkwfXsJODcbZgF3h7Vf9y1CXcMyg0MBgNB\nQUFlTuZ1pW/KkSP7uHq1G7t2XUMQzvDpp21p3DjYzpJxJfSqhSRJzJs3i6lT3y+Vkq3IGUkSZGSY\n1HiL1lqTJEm1lvR6PV5eXixc+C5TppRNiuVp6pWVZg6Uq2iekHCAo0eb06vXaQ4flpg4Uc7Au3Ah\nn9tvD+ePP9IZMuSUHUH26CFr42mzDJV4XM+eBfz661ni4iA0tIDg4J7861+zsVgsSJLEkiUfMH/+\nDGJjPXnssULVilOQn5+PIAgUFRkwmQwUFZlK9iuoL+W9KOpUK1H7uTNkZ8vFtYmJetq3t/LEEybq\n1YPjxz2cfl97rmvKgpLHK/81meDQIdmiu+02iQcesBAVZT/dLHlnCckvJLvu4VQWnLgNAzYHMCJ8\nRBVGXXfxd5c6+vseuQY6ne6GWkzXQ3RvvTWf4uJiXnppME89ZVVFYbUae67097TYunUjJ09+RUxM\nLzsS02bq/fZbafWDjh2PsW7dT9x553AkSVKTRqKiVnPiRNmkCOVr6pWVZi5JUrmK5m+++SGvvHI3\nBoOkxrn695cz9urX70Fu7mkOHTrNoUMS167JCuNmsyzzk5Qk1y/df7/9MQ8cKBEdLevrRUREMmXK\n+4AcC0xOjiQurjdG4wP4+NgTvfJXkiSMRh16vc6u+aJCRsp7i0VHUZGJwkKr3TWiEFlRkZ7MTA9W\nr5Y4c8ZAWJiFxx8vJCBAXm61CkiSaOfurM7ruiLkZrHA/v02YvrnPy2EhEhkZVWA+HYD6cjGqYQc\ng9pOhWubOodWrn/UzQC3BeXGDUV1WGJyXdEJpynhroRetZCLfP/NhAmlSUwrZ3T8+Bk1NmWx6BDF\nHEJCmpKd/RuDBo3Cy8sLvV5fLilW5pjLSjMHylU0j4lZR6dOiRw8aLOCwsNlcdakpG/w9g6ldes7\nOHUqFX//fNVqCg72RRAC8Pc/zZ49EqdPy9p5yqQcGCj/HTEin/nzZ/DqqzNLYmG5fPXVYnr3Hm8n\nMvvmm7PtLCSZnHRlKlN7eBjw9tbj62tPbqDEvQz89puBp58u5u67i/Dykpcp/cFkkjMgCFBYaJMM\n0o7DbPbBZCqmJNRaypKzWg0lJFfagiuLoIqL4cQJHZcuCfTrJ6rE5LiuJEm8Nvs1zqSdkX/vpAS4\nWPKlbMBZaZijK0+wJVloUZfbZlQVboJy46aCs7qfb79dwOHD8Uye/G6F1MblOJZzgtMW+CpKGUVF\nRUyZMpannjrEt98G8fbbC8jJyVFdhBUhxYrC0cJSmjhq08xdnZePP45AFIvYudOL4cML7ayg/v3h\nzJkCUlKOM3jwMubMKV1TNW/eWxw9Cp6eyeTktCEnJwcPjzxyc4t4912522vfvvDhhyuJje2qnsOu\nXRM5fXotMTEW9u79nKAg2LKlR5U09OwJQODCBbmGKT1doGlTkSFDRAYOFADn58NgMCIIAj4+3nZW\ntfLS6fTo9XoEwWa5iaKoEqHVaqSwsBCLxd6CAygs1GM2e1JUVKx+bjIJPP2vf3Hy8hksFpnIj8VI\nfBFjI4zka8lYLJB4Opn3VxWQX5SPOL4kTVyrYv6Li5OSVbLMAFjA2+T9l0qEKAvuJAk3KoS6EoOK\njl5Tys0VGvo7v/6agCRZyu2qW5E+Ux99NJ2XXnoLq9WKp6cn+/Zto0OHowgC3H57AhMmPMTQoeM4\nefIroqN7snbtQjw9beoMVc0qvB4oahGhoU9iNuexebOB7dvl/kUWC1gsAllZEtOGeHwAACAASURB\nVH36mNm40Xn/KcU9+PjjVqZPzyYq6iRbtqzn/PkJCIJZPadDh+by00/v89pr8jns1auAHTsWsmGD\nlXr1injxRYiMtO1DkiS+/34m4eGluxM7gyRBcrLAvn0GCgtlaahOnUTOnxfYt6/ik5WzOJZeL6f9\nu+J7g8GIn58vRqO9mxLAaASDQV+SGCNnDcbFGUjNSObcIDmOdEmzLetJWVX3QPsD8gcdShZUVu1B\noy5hXG3kwdEVUzCpLOrC/e0ItwXlxk0FJUnizBmRlJQEGjbM4+xZkfbti9i/314wFkoX77pqmREV\ntYbBg0exceMvnDz5JTt2hKlSRt9/P5tXXpEnaFEsJDNzI99+m8Bbb+Uyd+4Mmje/QEaGTcrneq2o\nykKxKp9/PpfZs5fxwQdmIiJ8mTbNgk4nT/hz57Zk7Ng/6dGjgPh45514lfhXfDzceuufzJ8/A0Gw\nlnIrXryYRt++Z+zOYb9+Rzl40EL//vL7Dh0SVMmll156hMLCXRw71pN77hlTxnHIqg+//qpDp5OL\na9u1E+0KayvC+dWVBOFIcHq9gCTpiY/34rffdLRoIfHEE1a2JsNpJ+u7fPLPdrHDMmpv/Qv86XSq\nE63ubMXcqXMpKiqyG59jwomz/yuCupa962634cYNhbNuuJXBW2/Nx2w2s379z7Ru/TJWK7RvL3LH\nHRAXl0NiYjCff77S6Y0mSRJffDGf1q27ceaMhE6nBNdF0tO3M2DAUGJjv2TChDy+/XYpY8c+SFTU\nanr2PMNPP8nKCPHx8NprIu+8I8/Ynp5nOXHCyOzZ8N57/ly4EAZUrAVHdUFLLIpc04gR+cTHy4Qp\nI9Wu9Yhj9p9Cco8/LqtqvPwyREQsY/36S6VS5ufNe4sLF+pz4YKATidgMkFS0hEKC4vVjMc+fYqJ\njPwEq9VKamoU77wjsnDhQiRptN0+P/44gldfjSAhQc+2bXpuv13knnsstGpVuri2omKx1wNXBFZc\nLKez79ypp0EDW/KDkirurOFgQlIChUWFcBj7mcaMXOdkAf6h+bwMbujStgsbP91YMkaby1J5r3VT\nOi4DyiUz5b6UJAlrST8Vx+/VBtwddd246aAkOTz5pL1EkWLdREevUdOytYiOXkNgYBJDhnxBePjd\nJeuIeHp64uXlRUzMWrWJoWIFrV//HSkpEkFBMGkS3H+/gCBIDBkiW0x33GHFapUn05EjrWqdlON4\n58+fpSYOODueivZycraulliUc9G3r9yR9ty5LvzxRzoDBiShbT3imP2nJTkl+09JiJg8+X27fU6a\n9JFafOzp6cnKlWsRxWdUqSNlHx06JLBo0WTuu09W4AgPT7Tb56ZN60hM/JpJk3oRHn4v3bqJjBhh\noXXrmnM1VTaNvLhYThePi9MRECDRt6+Ve+6xFRsnX0uWW2RoUdKrKac4x0Y6zp5V1ji8L0SWNnI4\nfGOhkTbd2lTJknAkKmfkpiU4Rd5Mu0xBRSy1st5XBe4YlBsVQl2JQQHExKwtJRmk1O+89prI4sUz\nGTHiPocMLIl16xaWKJHPp0+fgWpRrXJszmJToihyyy02KaDwcPkchIfLGnQAL74o2q3jGH+KiVnL\nqVPfuEwcKK+XU1nn3RmxgCKjJNKixQscPbqfS5dC+M9/tNu0z/5LSDjgVOVi+vRvePPNd8tsoXLi\nxAGOHQvh/PlMtmwpVONeVqsevf6qxqqSLbf+/ccRF6cnMvJT3norl6++Wsg//jGan36qnifl63nY\nVwhMS0wtWsgWU3ExxMbKU8bLM18m+VqybD051sY6qkO4ijlZHJYJOM3i653Uu8rp45UhCCUpyMfH\nx+7z8sjNkeScfVcZQ0XdkhcuXFCFqZW/dc39eCPgJqibEAkJB7h6NYykpHNqGnhWlplRo+TMtd69\nz6oxIEmS+Oijt2nXriMdO8rWUVjYSXbujFaVyOfMmU7nzt1Kxabatz/C3r1yXEUrBaQs79ZNICVF\nsvvMWVLGxo1LyuzVVFYvp/IeDJS09JMnU/D0zGfnTnmSNRp9adq0FTk5+yukfedK5WLUqAKnVpQW\nEybMoWnT+Rw5cidPPBGPIIAowqRJ1lKCse3bH+ettzbTpImVoUPl8929e2JJ6/iymzIq23CFiroA\ny9qG1Qr79un57391tGwp8eijFoKD5Q1fvGjTO0y+lsze0L1yirijqkOW41ZdwIAdkQVsDnCuKlHL\nuF4ryJXr0ZmbUvn/+++/Z/Xq1Vy9epX69esDEBQUxBtvvMGUKVOu63huJrgJ6ibE5Mlzyc/PJzBQ\nFiSTJIkXXriL8PDfAOjb18K33y5k4MCRbNq0iuPHv+TgwQZMnmyzjpYvX8rIkferqhNnzvQjIECu\nf1Jw9mwy166l0auXlZUr5TYRMTE6AgMbkpkpEBQkkp+vY/Vqm6SPY1JGVNRqMjN/B0q71cB5L6fK\npGc7ks/1uAsda7CSk4/QsGEeqakrefPNd1mwYHap7cpxvQjy8rrbZVfGx0PTpsUOrTsERLE5HTrs\n4tKlOIYMsf0ekZGfkJf3OwkJEu+/73zsNWnAFxdDfLxcYNuxo2hHTNr9K8PKyEiTXXlZ2LLsFFTx\nQd/b6E3npM6lPr/Z65uqQnAzZsxgxowZjBw5kl27dmEymcjKyqpUPGrp0qVERkaSkJDAI488wrJl\ny+yWb9u2jZdeeokLFy7Qp08fli9fTvPmzSu8/RsBN0FxYwOgNeEqdJaZd/vtx9i8eRVbtnzGCy/k\nMXduvmYMijrDOjZvXlpSYJvBvHk77c6FosknCGYeflj+LD7ei9zchzh58mv+8Y/PGDtWG+W2hyRJ\nfPnlTHx9LSVt0+2TE5zVdDmzoiqDirZ+dwYt2UVHr6Vlywn06AHx8XnMmzeDpKRIu+1KksSLLz5C\nUdFOrl3rj15vI7cTJ1Lw8Mjn8mU/fH1bYzBIeHhAu3Zd6Ny5L+fPrygVr4qKOkJmpr5KY1dQ2dOm\nEFNcnKzlFxYmMm6cpZyWHBJnkpLAFxs5XUUuzRKQkyAqghIXX0BhAJ1DO9OmV5u/nBJEdUAQBLy8\nvLj11lsrtV6TJk2YMWMGMTExdoXbAOnp6YwfP55ly5YxZswYpk+fzkMPPcT+/furc+jXDTdBVRB1\nKQbliMOH93HtWjdSUiRE0Zadd/z4L+pTff/+Ap9+2p4mTeROdRaLhaNHf6BrV9cFtlpVCQWiKJKU\n9CNvvZVHZOQnjBnzQCmLQhGq3bx5FZCiNvHr1UsWX42KWsPQoWPZsmUdnTrZ13R17HicmJi1DBsm\n6/ItXPgOr7zyNvPnzyrXKirPXVhROCPOiIhlzJqVz7ffytsFiI3dQE5OFP36iezYkcEHH2zh449n\n8+CDs9m/30BamkCvXla6dRM5dcqmZj5v3lulUteTko7Qvn0e6elmNmxYVKWxV8zFJ6gxJi0xPfaY\nmeBgiWPHPFyS3MyFL3PkbDJvf5GAyUO0t5w8gBBkSSLHmJPiAkxDToBQtp8PAb4B3Bd+X50gprp6\nf1cV994rB/Ti4uK4dOmS3bLVq1fTqVMn7r9fTqaKiIggJCSE06dP07Zt2xs+VldwE9RNDEmS289P\nnDgDSZLw8vLCw8MDnU6nuv26d5cn2fBwkeRkf+bO3YIgCOTm5vKvf41UlztLcHDWNj4qajXNmz+l\nPvU7klp09BoSE79g8+ZurF37HQMGyFl/XbvqWLw4lMaNQ8jJOciIEfeSmBhHenpXUlOVGUtCkiA7\nez+DB48mJmYdp08vY8ECM6mp3xEVFcbQoWPtjl+bvLBly3qV8Dp1Om4Xh1PcfkC5LkBneoBK2rri\nhhw4cAQrV77Pa6+J/Pvf0L9/AtOmzeDy5Uj+/LMXjz02jk6dRJzVWDq6JaOj19Ks2bP07g0LFkD9\n+kddujqv19g3m+HAAT0JCfbEVBGcy0omuf8emWwGOfmCQkwG5Aw9R9ffrZRKoOicVLf08/4uiQiJ\niYmEhYWp7318fGjdujWJiYlugnLj+iCKIqIokpWVpTZUNBqNdjdXdPQaOnQ44jKBYevWDWpLC2fL\nncGW6Sen4fbpU1xKhWLt2oVMmJBLZORCdDqBO+6QA7/h4SJJSQHMnRujjnPq1NIEKElyF96ioiKi\nopYyYUIes2d/S0REPitWfMqIEffafVf5K0kSmzfb98lavnwxgwePZuvWDWqDQ0kSiYr6lA4dujB0\n6FiV4LTn7ujR/WRk2IhTiUV5e8NDD8luSJPJRO/eZxEE2TKUpEIOH17Ge+/lExm5gLCw0RWa7OQk\nksU8+WQxcXHg6QlJSWaKixeVqtNatiyCTp3eVd87I1pXuywqki2mAwf0tGwp8thjJoKDHcdS9jYq\nDMWKckZia1CJLKAwgDbhN3d86WZFXl4eDRo0sPssMDCQ3NzcWhqRc7gJ6gajqq5CWQhUbgiotHoI\nDAx0WSNx+PA+9u83kphYzJUrclt4kMjL28uRI4coLs4hK6ts1QlHOCO99u2PEBW1hmHDxhEVtVqt\no/L0PErr1oLdd+UOvOvsSEaBKIqYTCZMJhN6vZ7du7fQtetJu+LbTp2Os23bJqfrK/qCIPfJkiTo\n3Pk427dHqQ0OIyOXcOVKJs2bm1mx4l2GD7/HjgCUv6+//h6SJLFo0bt07BhGixYv0bOnvM2ffoIO\nHY6xfPlUpk2TybdXL3jnHRgzJr8kvmdzU5aVng6ytXb77QmAXFf24otyexBPz6Ol6rQuX/4Kvb4n\nMMZprM3ZZaUQU3y8ntatRbp3tzJqlAWHTOoKQd2+KyUILUrceroMHXpBj1W0gqgnxLseoU3lqt42\nt7hjTlXFoEGD2Llzp9OHoH79+rFr164y1/fz8yMnxz5jMicnB3+liVodgZugKojaikEphYOKtIun\npyfe3t7k5eWVWcDXtWs4/v7LSoL8trbwmzev4ttvn+Lhh79g+PA5LF78frmNDRVoSU+pvfrzTyP5\n+XsYMmQMGzcuUeM2gmDi11/9uHixl+ZYIDd3nx3BWK1WlZgMBgOffTaXSZPeYdOmT0sV38pJFIvs\niEXBkSP7SU/vzt69aVgsp8jOhmvXbiMx8QeVND08jgKWEhJI5ddfNzNypGsyPn16GefPh+Pn142z\nZ+HSpTQkKZnjx4MYMeKKnaXh4SHXTSnjVKw3ZZwWix6LRYfZbFZ/V51Ox9Gj+zhypD7r1mUyenQR\ngiB3+V2zxofz5xeo8a5NmxYzcWIuH3+8EFEcVW6srahI1spTiEmxmJKSXMeYJAmiDkxk9wunuHDx\nLM2atlCXtbmlDecuJUFnShXSOkVJe4w7ku4g6rMoLl0S2LrVwAMPZOHt7V0ucbtRNrZvr6ygoT06\nduzIihUr1Pf5+fmcOXOGjh07Xu/QqhVugipBXUuCsFqtFBUVYTKZSnX6VaRYXMFV0e2wYffw7bez\neOUVE4sWya6i8hobaqElPQVxcSKNGnVj3bqVdOqUqE5+//M/8rLmzZ9RJ1DlZbFYVItJEaT19/dn\nyxbZKpg710rnzolOi29dWWFTpswtyaobxBNPSCxdCr6+fkhSGt26FfDjj7LrTKnlGjhQ4uuvZzFi\nRGlRW0mSWL/+kxJXZTohIXfy6qtv8+qrQ3n6aSszZ4r88Uc4q1bJ6509m8add55GUQgXBLnb744d\nUWpzR4NBh14voNeLdvt5440PkKT3ef31YYSHHwJkgtqzpz6BgUlERa0BJDW21q9fInPmvK2+79jx\nONHRaxk2bBxWK5jNEvv2GUlIMBIaKvDYYybq17ePwZWFDGsSR0L3Qiic10q/JkGRpdD1igDXIDiq\nIe3b2Nx2Sop4Xp5cvOxGxXG985HVasVsNmO1WrFYLBQXF2MwGNDr9dx3331MnjyZNWvWMGrUKN55\n5x3CwsLqVPwJ3ARVp6CNvygTd2BgYKWfNl0Jwn700VR69UpRi3kjI99l8uTSPZy0mXha4v79972k\npXUjNdXmupMkiby8w4BEWppsacify8uysw8wZMgYtRBx0aJ3eemlqXakoFhQa9bI8asPPviJNm26\ncOrUOby88tixQwAkjEa/kuLbvXakpyAmZq2qut67N5w+fRiDQUd8PFy9ihovAnn5jh0pREevLWVF\naSWfPD2PcuzYMebOLaJr15MIAtxzTx6tWk1USXLWrMn8/vst/Pmnff+j3NwDquSUTieU9INy/nsp\nrTsUCMJZJkyQiIz8FECNrfXtW8CsWctp376AHj3kjr+RkYvp128006a9x9mzH9KuHeTmTmP48BkI\ngkBU1Ho1Bme1PoDZbMZotP3WCxe+yxtvzOTViNe4kn3E6TWVkJRAUWEhrARMOFWHCNQ3JGrJGdq3\nt5FwYSHs2CFbciNHVjT/3A0tqpq48d577zF7tk1e7IcffmDWrFnMnDmTkJAQVq1axYsvvsijjz5K\nnz59+Omnn6pz2NUCN0HVAYiiSHFxsdr7SMnGq+qF6So9PCEhkogIW9LC7t1ynvPttycweHBntm07\niiAITJjwEIWFvxId3Z3hw+9VJVwmTfqoFClUBEq2YXT0Ws6ciWTv3l6MGjVeJT9JkoiKWkPXrvIk\nPWxYHrfdNoH33x/rUl4mLy9P/UwZz5o1C3j6aTmBo1cv+O03C2lpvpw6ZWTEiHzMZntrrH9/gXXr\nvrcjKMV6euIJW8v7l16CiIgVzJqlrdeyuRpfeGEuGzcaeOYZi9125s+fhSSV39VWcU8ePCgQGCiR\nnp7GgAGnEQTJaSwvNLSAtDSbevztt5/gf/93Nj4+y7nlll4EBlq5cGEZO3b0ZNiwe9Rkk8jIT7nt\ntgcxGPS8NvsVzqSdISMjjWtpSaw6FMXFtD8wmZ0HyXO8c2AUNmJykgDRcF8okiQn8FgsupLCXz1t\n21p59lkTgYGQn196PTdqBrNmzWLWrFkulw8ePJgTJ07cwBFVHm6CqiCqywWo3Y6S9CA/0Rrx8/Or\nUO+X8sbiLD188+ZVNG78mN1EN2iQRFycnIEWHJzMnDlTCQvrTWbmRvr1kzPy7r57DDqdrkrEpBCv\n2WxGr9cTG/sFEybksWLFp4waNV49FoBNm2zxq549C1ixYimjRz9Qap9a4VntZ1FRa+xcjDYrqgi9\nXk9qKly9KpCYGEpQUDBKSnuTJs3Izc1V9xMbu17djrblvVYd3Zmr0fHniIlZy/HjXxIT091pUocW\nU6bMBeCHH/TccYeV+fMHqtmP2lheYSGcO3eGgoIrvPeeSESEH3v2hOHtLZGbu5IpU/L48MNP2LBB\nLIlPLQZQU+Y7dz5OQsJ6jMaxpKSnyFJFJUjjlPyPo4BrJWEyWTl4UODAAT3Nm1t5+OFiNY3dZJJU\nL4ESP3WUtVLgjlG5AW6CuuFQXF05OTmqkriPj0+N35Dr139HdrbcylxJ3vH3By8vyMiAN96At9/+\nnN9/36DW9vTufYzY2A3lTrCOUEQ3LRaLSrxbtqxT09odJ3etSw1KE4CWlJxN/IIgcOzYQQ4fDmbX\nrjx1HHISRwE9e5oAeOkliW+/DWT+/Fg7600Zr9VqJTExjqysrqSkSJw8mWAnHPvuu36kpnYC5HXT\n07cTHj6Y/Hw9xcVe5OfbehRp0+0HDx6F1WpAFGXSLkv6ZvfutXTqdIyffoKHH5ZjefHxIq1avUDr\n1vexfPlaGjd+BkEoYMQIkVtueZagIB3nzskagnfddYQLFyTVrSv38rJZfrGxC3htdjRHTx+FqmZ4\nO2jvBRQG0KVtFwqsbVm71ocOHUT++U8rDRsKSJJBtaDNZrMaA9Gef/m3smd4i8Xi9OFEWc9ZecD1\nElxFrF03bizcBHWDIIoiRUVFqpS/l5dXqdqlmkSLFm1IS8tDEAQuXjyDh0cuRUWQmWllzJgCBAFG\njiwmNTXFrrZn/XrnWXMKFPL4178i1IleIV5vb291QlHcZlDaRaa4uJT4lbxdW8afQkrR0d1Yv34R\nQUG5rFu30G5cshUy125s0dFrSE19DqtVllqSC21txKdYeBaLBQ8PD3x8fJg+faG6buvWz9mR5qhR\nIq1avaySpnL8eXlyp1kPDw8kSSImZp0aU+rUSVbOuPXWeygu1pGXV2TnmtS+iou9OHVqN+fPN0MQ\nzrB4cRuaNAkpcTXu5erVe4iPX8S779riUStWLEWSJDVGFR5ezNKl8vkTxUI15qgcw8CBx/hud07p\nFhkKBGTycdTYK5kpvHIC6Nmxi90qIcZQBnT6HK87JAYNsnLbbbJchCSB2WxWg/P+/v4VIg5tvzRX\nQqva5c68Ca4SiRyLu7UPC6625UbtwU1QNQildklxc3l4eODt7Y3JZMLDVc/tGoKj2y8/Px9RFBk/\nvgXh4fJn/fvDkSPy5NarF6oV5ap2CVDFZtev78Ddd4/B09OzFPGWZyEpLi5n0GbUzZ07S+3eW7/+\n0TLHJUkSX321gJYtbS003n3Xjw4dwsjJ2cOAAUPVRBQtkc6bN5M335xtR5qSJHHs2Fk6dmyhkqZ2\nYtPp5O6xRqOxxN241I6Mp0+fxvz5D+LtbSAgwEMdn+NLr9fx1FMfsmjREJ56ysqHH2YxadJO/vtf\nDw4d0vPddw8yZkxpxfnUVPvYWu/ecnwqch1cM4ksWudNXpEFC1ZEsQip8BT4uTjhgcjxJReFts1v\nCSPmi2gkCVJSBHbskF11Awda1SaL2mQfvV6Pr69vpXoaXa83wRnBOftM+V/xalgsFnQ6WymAM9SU\n9eaGc7gJqoKoTAxKcWkUFclPy15eXqobz2w21+pTmlbWf+7cGWoRLNhPbr17Q9euOvbubUZOzm4G\nDx5l97SvHKPsysojMvJzxo17yOnN6cpCysnZS0LCf102MgQbucnrnCE9XS5mXbrUVMqKclwvICCJ\n4OCnGD36sGoBNWnyNIMHj8ZoNKq9sLTrKO5DLWlGR6/h2rUXuPvuiZqYkzYWJth9V1FvB9T28d99\n9zZ33jlH/Vx7HpXt6PUGDh5cR1jYiRJ33RWef/59goJ0DBkShijGsndvGy5dCubixVSaNm3BhQsp\n5ObCf/7TivPnU8jPz8fTU6KoyI9s8kgfm4vcCVCDskpossB/sz8+kg+Fm+X1vI3ehLYMpaAA/LxD\nuXBBYPt2HQUFAnfdZaV9exsxmUxmNdnHx8enQjHV6oaza9AVQSqeDYvFgpeXl13fpbKst7Lck2WV\ngVSW4P7uFp2boKoRiotLcWk4kyCqDpdeVRI2FGJSyMnT05PExH1IUgB79kB+fiE6nXxj5eV5ce5c\nNyRJolOnLrz22nuqeoV2G1u3biQs7KTqylq/fiWJiUd47bUZdokVr7/+Xil3liAIREev4eefJ7pM\nJNC6BuPioFkzCA21EemZM86tKGW955/PZfbsb4iI0La1+IyxYx8sNYlpLTWt+9Hx86NHDzFp0jt2\nZNa1q23/69Z9jyBILFnSnsaNgzl+/EiJ9fYTAwZ8ZLe/+fNn0alTV3U7knQ/O3YsYsIExV0Hmzd/\niZ+fnk2bGvPBB2YWLvRn0KDn+fnniQwePJHhw+9RCc5sFli0yMDkyXI2YavhrQAX0jVKHEnryssC\nQqBzw86s+2RdKQvvwAEDa9d6sXKlifBwMx07WtHrBQoKBDWWJwiCGmdSPAja3xzqht6dUgCveDP8\n/f2rZVyVdU86fgY2gjt+/DgXL1687jHdzHAT1HXCUYLIw8ODgICAOtGmWbnwrVZrqbgHwC+/VExa\nX5tIIEmS6sbbtu0ru8y7Tz75EA+PP9m+vSdDh45VCc2ZO0ur27ds2cf063e3HakJgkBs7AY1o+7M\nGTh9Gh55RB5Tr14QHe1Bw4Z7SxGUYnVpZZLkY5cz2bZsWe9yHa37cfjwe5g48WG6dEkscacdJTY2\ngc6du7Nhg420una1td/Q6TJ49VUrK1b4M2jQBFq2fL4kCzCXo0fXkJR0yC7Z48CBBkyenMvy5Yso\nKBDo3t3eFTpmTDF790J4uBxLuuOOY3z9dQSTJ8v7liSR48e/5N6n/kuhh5mLFwW2nZF/62vZ11z/\nqCVKD1pXnv/mAOpbwmh3axu7rrLp6bBzp55z5wSeeMJK9+6CHQGZTCYkSbJ7GFOKQx1/d+01WNmX\nsu71QOt+NBgM+Pn5VatLrjrck1lZWXzwwQekpqbaqT38HeEmqBJU1ipRnsC0EkR+fn515ulQSwxg\nT0yV2Y7ZbFYnICWRQLF+HONKPXumcPCgxKZNSxg9enyZ+4uOXqMWvoaFnWT37i0MHTrObjJLSNhP\nenoYKSnw55/pDB+ejFatYeRIkSZNupOXl2fnMluzZiFPP12gNlncscOP0NAwZFecVEpuyVUShyha\nSUnZzJNPyvvs06eY+Hj46quZDB36p0pmO3euZceOwzRtGqaek3btDpcQibzNXr0K+OCDmdSr9ycx\nMd00cTU5S7Bdu2N8//3b+Ph0ZdeuozRsmFfiNoPz5+GNN0TmfwMXcgq4cOUMry2CvLx41r//LKa8\nIvKN26GkCPic0tHWVP5vHFAYQJdkOemhZd9QWtf/nEmTZAssOxv27NFz6pRAnz4iY8ZYkUOnAlar\nqBaUVybhx9nDiuODi6tlCqpKcMqDZG26H8uC1Wrlhx9+4JtvvmHKlCncf//9f/t4Vt36hW4CKEkP\ninacVoKotuHognN8+qzMdkwmE8XFxeh0Ojw9PUsdo2NcKSMjjYsXT1KvHnh5lZ/AUJoQljBy5P12\n+5g2bYH6/5w5k/njjwasWmXbjihK5Ob+lzFj/oEoipjNZqKj16oxHKXJYlycSJMmTzF48Gh1osvJ\nyVHPzdatG0rVUN1++zEWL36TsWNFu8979YJ161Lo3h117AsWzEKv/5Pvv2+kpnT37Wtm584Udaxy\nTCkFDw+R776bRXj4HwiCLLkUFwd6fSFt2pwlKGgMHTseok8f23G2by/Hsi7mwtHuQHfIlM8kUAQ/\nAw86OdE/Oz39dujStgsxX8QAsn7fkiVyMe3evToSEnR07y7ywgtWvL2V0fTUWAAAIABJREFUc26L\n2SglEpW5vqpyPSpwdJlVleB0Op1KVDfSeivruH7//XfefvttBgwYwI4dO/D19a2Rfd1scBNUBaBY\nEgC5ubl4enpW2Y1XlfhRRcbnjJgqC21hrcFgKPMpc/LkOXYFsxMnDuSWWyqewOBofbVvXzapucr0\ncxxzUtJhMjK6c+6c7TuSBHl5v3Pvvf9T8t5+4jpx4lBJXyrbOhcvplGvXhKJiXDggEBmpgfNmxeT\nmwsNGthnzfXtm8rZsyItWtindPfvL7F4cTuaNAnh8uV0RPEUDRtCz56pSJL8W/XuDUuXylp1U6ZI\nvP761zRsaOT48WIuXJDbbxQWgtUKZ3OBbk5OgqufuhBbQkQ2qsirsdBIn2SZAUMbhNq+XgipqQKf\nf26gUyeR55+34OdX+jxXZ8ymMqgsUWjHrFh54JrgatJ6czXm9PR0Zs+ezdWrV/n6668JDQ11+r2/\nK9wEVQYcJYiAKmnj1RSU2NL1uPGU7TgW1pbfJsKWJAASXl5Had9enph79ICzZ10Tjtb6Sko6TMOG\nefz5p5HCwn1lWl0KIQqC4HLMb701r9zjdTxPjn2pJMkmOisIijahiSefRHUbLlki4OXVDkmSKCo6\nTWYmpKdLHDzYCKPxT/z9JXJyBPz8mjF9+ndMnDiGV15RtieqHYYFQS6Y7tpV/r9bt0Lat/dg9zFI\nlSDjspH69cwEBkNRLvALcudauwEDu7HFlRT44DRVvHdSH9VqArmJYXy8jv37dQweLDJkiJWgINu5\nUDwGFb02ahtaD0B1jbk6rDflutuwYQM//fRTiRs7gYEDBzJgwABOnjzpJigHuAnKCbRuPK0EUUZG\nRq278pQbAVAlegRBKJVgUJ6bQglwOyusrcgYtJltzZr1JCnJg4cfloMefftCbKzzBAawWUPR0Wto\n0eI5tSVIq1bhLvepEGJUVFcGDhyhJqTUxITpzMLr319gyRLZGjIaZVKpX78L58/H8eyzMvGIosTs\n2TlERNiIbfnybL74Yhs9e56w256tw3AwSUmHePzxYiQJcnOhd28TP+6HswMBzKgltd2QpYickI6r\n1PGAzbLKg4Lz5wXadJclJKxWOHxYx549Opo2lXj8cQshJeSnneRrIpmgJqBNgKhK/VVZuF43n5bE\nQkJC8Pb2pmHDhowePZr8/HwuX75cJxKr6hrcBFUC5UlRkbzx8vIqZS0p7rnaIClHN56fn1+Vn+KU\n7YFcH2Iw2ORoKkJujhlv2dl3MHy47AL98Uc59jNsmJm2bfuVOgatW7AsdQnH9datW1SS8beQw4fj\neOut9ys1YTpaYGUtc1W31blzWKn6qMDASJV4nGUNtm+fyPbt39KwYVcSEnQaAoAuXcLo0qUvvyU9\nxuuf2CSoXv8Eki/i3J1XCegEHWN7j2XetHkl4xFYsMCP114r4ODBIvbt86B+fSvjxllo3FhebjLJ\nD2iKXp6Pj49dbVBdhZIAIUlSnUyAEASBa9euMXPmTPLz81m8eDEtW7as7WHVedStX7EWkZubiyiK\nN1yCqCwoJFKd8SWlY632GCtLbkqWHMjEMmPGj/j6Gtm+vRhPT7kjrCgaKSjYa0c4jm7BstQllHFZ\nLBY2bfqPKnjasWMisbHH2bKlT6U0AssSb9UuGz78HnQ6L+bMiS73PCtEdvo0pKcLZGaewdMzj507\n/fD0bIW3t0hAAISHt2HkyPmcPatj3Dj7Is6JE8eTmgHp/Rw2noVzuBI5SEMVetWJOvy8/bi1/q18\nOedLQHnAkcjO9uCHH/R4e0uMHWumWTNRXWa1WtUaHEEQEEWR/BL58euJu9TkveRYaFtX7l0tzGYz\nX3/9NT///DOzZ89m+PDhdW6MdRVugiqBv79/tScvOENFkiQcCUNZr6rxJaXfkuKurIorQRmTti2G\nPC64/fZsWrWSOHRI7n4rx1esNGnSza6t9Jo1C5gwIZflyxfQtGl3srLCSElRjklOAc/JkbvzKjEm\ngJiYz1WtOSXVu6wkDGdjd1aE62yZUldUGRXyK1fgl18MdOxo5bffRFq3NtG/v0SDBh6qlXf0qPNt\n3HZbazyTAgAX2ngO8PYMoNDJdwN8A+jUpguXLgkM7tGGT9/9VHP8kJqqY8cOHY0awbBh0KYNCIJR\nfQhQstqUrFTH81dbqeGufl9tbKy2kjbKgyRJ7N27l4iICMaNG8euXbvw9PSs7WHdVHATVAlqIruu\nsnC82cu7ScvajlahW7mBryeGoIzj2LGDpdxfZ86kcPJkISNGZCMIIl276ti//za6dDmsZs5FRa1W\n6566dDlB8+avMHTonFITmtVqVZ/aQVarUKwneRxy5lty8lE2bvxPqW69zia30kW4a0lI+F0tmNUu\n0xbBVoYAjxwRufXWIp54wp6YysPkyXP4eP3yiv0IZaBL2y6sXRTD0qUG3nzT1pfq4kVZligvT5Yl\n6tBBUs+l1i3m5eXlslyiqg9HUD65ARVOLlBeynWi0+nw8JDPtaNixfWMuTpw+fJlpk+fjiRJrFy5\nkmbNmtXaWG5muAmqEqgpEnOMLylJD1XZjqvC2uqCs3RvJevtjjviALkZYlKSP5Mnz1HP2caNSxzi\nTZ+qxbzagLxer1frriRJIjn5iNqpNynpCLfeKhe2enmZ2LRpCXffPVodg6und7mRoW3fixbNxNPz\nChs3dmLz5qWqddajRwHbtsm1S65ay2uhuE0LCqyEhflw//3GSv9uMTFrKbYUlF5gwC5jL6AwgDZN\nu/CHdJUeyV1KfT20QSiSZEt/v3JFVn+4ckVgwAArXbpIKEOzWq1VKrKtCq6X3JS/2msbUBt6KhZg\nRcntei238mAymfjss8/YsGED7733HoMGDapzlt3NBDdB1RKqM76kneBdFdbWJMpTK3e1PDp6DYMG\njbIreta6HwVBsMv4a9lSzvhTEB9/gl27trjU8QN7y03Zd+/eZzEaRZYvf4chQ67YLVMKZ3v1KmDZ\nso8JDx9cKkMSUOM1er2eyMgPadz4AwRBVC3fspIytGNcv/4TPDzB4rhwAHYZe12Su7DotS0kJup4\n4AHnYqQFBfJr7Vo9Z88KhIeL3H+/FcVjd71FtjcaytiUcYuiiLe3d4WubUdyq2pCUXkvq9XKb7/9\nRlBQEMnJySxevJiHH36YnTt3qnVXblQdboIqwY28URX/ubLf6uhYW15hbU2ivH5OjsslCUTRSnr6\nLu66awQ+Pj4sXPiOXZfcyu7DEcq5TEg4WErxorDwFA0agLf3BXbvbkBMTBE+PrdiMFzGz0/C21t2\nI3bpcoLJk59h8eLvAdSWDIp7yWAwEBu7nvPnvyYrqxs5OUPVfW/btrGkDUlHhg4dS3GxAZNJT3Gx\nzRW1Zcs6OndOZMMRKHCWJl4BqSIFOTmwY4ee9HSBkBCRUaMUWaK6UWRbFWjH7enpqVpNFcH1JGhU\nhtyys7OZNWsW6enpXLlyBavVytSpU5k7dy6xsbF06VLa2nWj4nAT1A2CclFbrVYMBoMqvFoVd4Ti\n7qhMYW1Noqx+TtrljsW1np6e6HS6kp5SZScmaPdREevE1XovvjiIZ55R6pQsRERkM2uWSESElS5d\nwtXtrVolq0nAFrZt28jAgSMxm81qmw6dTockSWzZ8gUvvJDHvHlLCQiQ29iLoqi2t4+M/DcjRtyr\n/j7KxCaKIuvXL+bppwtothsynKWUa0hLFEVMJhNWqwGz2UZyhYUC+/cbOHpUR7duIh9+aFZlibSJ\nBHXhOqkoHMd9owm1ouRWVFTE999/j9FoJDIykv79+yMIAsXFxWRmZlK/fv0bMdy/NNwEVQlUJQbl\nGF/S6XROdbYqkinlmAYsCAJmsxmz2VxhcnO01m7Eja8lJsfi2rIy7FyhrJTx8tZzdDWOGJFPfDyM\nG5dLq1b2/Z5kNQkzy5Yt5K67RpSa4KOj19CundxrasAAW2PH2Nj1amJH587H2b49isaN78PDQ4e3\nt15dV5sNWREoqeByrzGJuDgDv/9upF27Ah5+2IS/P1gsAnl5gnrN6HQ6jEZjmYkEdcWaUh68aqLQ\ntjohSRKxsbF8+OGHPPbYY+zcudPOc+Hp6cmtt95aiyP868BNUDUAhcRctblwBlfLlZtWcQk69piq\niDtCK4l0I4PIilKFY+daLZy1uSiLdKpCaAoc3YSKzJK3Nzz0kK1QWE7q+EUVkA0LO1kq1iVJEt99\nF8Grr8qFSXL79UUMGzbOaQHy88/f63Is5rQkGm8pxGSCApMZg5ccu/CWvAlNlqVvQm8NLYkt6khI\n8GD/fh2tW0tMmGClXj09kuSpWlkmk0mNRSoPVdURb6lJclMyCoE6WWirIDU1lWnTphESEsKGDRto\n0KBBbQ/pLw2hHIvgb9POUYktlIXs7GyndSIKHCcCuL7CWmWyUTLbqruivzyrrayX9ticuSAtFjns\nbzQaVUJ1nNRsVkpcicsNVqzoxdKl210eZ3T0GlJTn6NHjwLi431o1eqrSllRzrajID7eh2bNlnLn\nncOZMmUsTz11yOW4Nm9exYkTjzNAo38XH+9DTs4zBAZ+XWq7ev3XNGp0f6lCXS2+/VbPXXeJ3HZb\n6dvOaoXNm/XExOgYOFDkzjutKHOj9iFGmyRTUdTUdVCR181QaAtQUFDAwoUL2b17N3PnzqVPnz51\ncpw3MZyezLr5mHKTwdGNdz1Pl46FtTXp5qjqGJ1ZbUoCgdLSXiFTURQpLCy0m9BAdnVu27axVJuL\njh0T2bRplWoZORJfReWRyoPWgpEkWcDVahXJyjqAXq9XW3Yo43K07pYt+5jiYvj9d8jKAi+vDrRq\nFUxq6g5atiydzCFJe2nU6P5Kn2tRhMREgd279QQFSUybZqFxY9v51xbZKhlulUV1XgeVzZRT9q/T\n6dS46o203MqDKIps2rSJ+fPn8+yzz/LOO+/USbfjXxVugqoktDeWK2Kqyjaru7C2JqGNX2mf3rWT\npKvzoJ2gTp5U2lzIKhLK8qysvQwaNLLUhLZ1q3NC27jxF4YOLbtg13E8U6bMtcsS0yZtzJkzucyM\nQbnr6Unef19WzRg2DNavN5cpj3T0qGC3Pdfn1ra/06cFdu7U4+kpMXq01c6yqmiRbU2iKnFMSZJK\nYmhyR1utG7Ky5FZZa025nyo63qSkJKZOncptt91GdHQ0wcHBlTxDblwv3ARVCWj9+dUhQ6RM7jVZ\nWFtTUCYapbi2ok/v2nP11lvzy/m2PbRFuwpEUSIn5yBDh46r1ITmmESg1+uxWq2Iosibb35oN07H\n32POnGmMHl2MIMgtMwACAs4QHb2WkSPvq9QxOcPZswI7dugwmwUGDbLSpo1N/eFGFtlWJxytvapK\nbinbUv66IjNX14IChbC010RmZiY//PADvr6+7Nu3j5SUFCZNmkR4eDgBAQHVch4qCpPJxMSJE9m6\ndSuZmZm0adOG999/nxEjRgCwbds2XnrpJS5cuECfPn1Yvnw5zZs3v6FjvBFwE1QFoVzgyhO3coE7\nWjkVmSy0k3ttFNZeD7SxMWfFtTWJ8tLZXUGZmLTZhEpcT1leUTUCgJ07VzC7pGSrVy/ZiurfH9at\n+7aU9FJlkJUlsHatDoNB4M47rXTsaE9MythvhiJbLRRSVcSYr/dar4rlpqAsd6TJZOL06dNcvHiR\ngoIC6tWrx7x588jMzGTjxo107ty5ymOuLCwWC82bN2f37t00a9aMTZs28eCDD3Ls2DF8fX0ZP348\ny5YtY8yYMUyfPp2HHnqI/fv337Dx3Si4CaocaC0mDw8P9Sm7Km4HsCVj6PV6u5u1rk82jkXBdTUF\n2Bm0DxZKXU1F3aeOv3F09BpGjiywczN27apjy5ZQ+vVrQUFBgdProbDQSFGRnoICc6mn97Q0Hbt2\nGcjJkbj7bpFevUQMBpuKws1YZAullSsqU2hbU3B1rx0/fpxp06bRoUMHli5dSpDSsbGW4OPjw8yZ\nM9X3o0ePpmXLlhw6dIi0tDQ6derE/ffLMc2IiAhCQkI4ffo0bdu2ra0h1wjcBFUC7UWrTC6O8SUP\npTTfBVw9mVmtVsxms+pSUiZ2JYagbL+qr5pEVbrt1hU4xpiqMnbHc5yYGEd6el9WrbJ9p7gYgoO7\nMX36R+pnjm4oDw8Bg0FAr7cV6mZkwJ49Bs6eFejdu5AhQ0wYDBL5+fZ9uwRBQK/Xq0RbF5IHyoIy\nztoqtK0McnJy+Oijj0hMTOTjjz+us8oPV65cISkpiY4dO/Lvf/+bsLAwdZmPjw+tW7cmMTHRTVB/\nZTj6r6Fy8SXtdxW3kclkUjvWunqCLMvtUNlgcUU661bkmMoqrq3rqA5icgVnbsarV2HNGgNaRT1H\nN5ReL2Aw6PD0FMjNhT17dBw/rqNXL5F77xXx9PQCvJAkiaKiItWFqjwU1UTyQHUXbSsxVSUBoi5f\nM6Io8vPPP/PZZ5/x+uuvs2DBgjo7VovFwqOPPsqTTz5J27ZtycvLK1V/FRgYSG5ubi2NsObgJqgS\nREdHU1RURP369alXrx7169cnKChIfXKt6M2rzWoDuaq8vED29SRZKH8rEyguayIDVDem0WjE29vb\nTvVBWa8uoiaJqSxU9HQUF8O2bToOH9YRFibywgsWfHzkZdq4pDK5V9aF6ix5wJk1X11ZcdrXzVJo\nK0kSx44dY+rUqfTo0YNt27bd8ASIykCSJB599FE8PT1ZsmQJIHfT1vZZA9kS9Pf3r40h1ijq5lVU\nC8jLy+P06dNkZmaSkZFBZmYmWVlZqotPkiS8vb1VAgsKCrIjM51Ox86dO+nZsydDhw7Fy8sLvV5f\noxNk6af0ik1ozohNqWFStqN1KV3vRFbZ9N7KoraIqaIoLoYTJ3Ts3atj5Egrzz5rQZkTtQ80igxW\nVWN7NZU8UJGHHWW/Op1Ode/VBRe1FpmZmbz//vukpqaydOlSOnTocMP2XVX87//+L2lpaWzevFm9\nLjp27MiKFSvU7+Tn53PmzBk6duxYW8OsMbiVJCoA5RwVFBSQnp5ORkYGGRkZpKWlkZGRwffff8+h\nQ4fo0aMHzZs3548//rBTpfDw8FDJTGudaQlO+V958rwRN25VrL3yJjJXE5tyTNUZZ3NVx3Sjce0a\nrF5t4Pnn7ZtmWCxw6JCOfft0tGolMWCAFUU/VHEBK2nXSsLMzQKtK9LDw8OpK7I8ooMb00rearXy\nww8/8M033zB58mTGjx9/w6+TpUuXEhkZSUJCAo888gjLli0D4Ny5c7Rs2RI/Pz/VUzNlyhTefvtt\nJkyYwNGjR9m6dSs+iqkNpKWlERoayrJlyxg1ahQzZ85k9+7d7Nu374YeUzXDrSRRVSg3gq+vL76+\nvqXqDRo1akSfPn1KCUQqN2FhYSEZGRkquSl/z5w5o77PzMwkMzNTlQgCWSbIlcWmJbt69eqpE0RF\nblotMWknx4qsez3uyOqKswmCoCawKOniOp1O3UZtPJ1rYbXKhbm7d+tp1EjikUcsNGxoW14Ximyr\nCq0rsrIZkc62VZ3XhPYVHR1Nfn4+BQUFREZG0rdvX/7zn//QtGnTWnmIadKkCTNmzCAmJobCwkK7\nZYIgkJ2dbXcNnD9/ni+//BIvLy8allw8giDwxRdf8D//8z+sWrWKF198kUcffZQ+ffrw008/3dDj\nuVFwW1B1EMpvUlRUpFprjuSmvBSXpOKeAzAYDCqBaUnM29ub//73v+h0Ov71r3/h7e2Nd0lvhro6\nQWrdkYoMlFLHpLg8qjqJuUooUdarKBQL6rnnLCQmCuzapScgQGLQIJEmTWy30M1aZAv2Fp9Op1Nd\n2LU5nrJeH3/8Mfv27ePSpUt4eXlRUFBARkYGAwcOZPXq1bU27hkzZnDp0qVSFpTZbL5pyjZqCG4L\n6maBMml5e3vTpEkTmjRpUqH1lEnZZDKVckNGRUXxf//3f7Rr144ePXrwxhtvkJGRobbQBjn2pLXU\nHElOa8F5eXnZjbWmoFhLla1jKi9hQIm7VUfCgCjquHoVvvpKj9EII0daadnSnphu1iJbkMev6Ckq\nxFrbcGUhWywWVqxYQWxsLG+//Tbjxo2z+145D+S1AkEQaNGiBYIgMGTIEObNm+eWVSqBm6D+QlBu\nRE9PTxo1akSjRo3UZW3btuXNN990Wieh3LRms7mUxZaRkcHly5c5duyYndWmZGyBLPwaFBRUJqkp\n7xVfekUm6OtJfriRCQOCINKsmSedOpkJDRXR6eSeTMq2FFekUmbgShC1rqEuFtq6giRJxMXFMWPG\nDIYMGcLOnTtV74AWdW38ISEhxMXF0bVrV9LT05k4cSL//Oc/iY6Oru2h1Qm4XXxuVBnKtWOxWMjK\nyiI9PV2NpymWm6M7sqDA1oZCEAQCAwNLxdUkSeLAgQP07NmT8ePH4+3tja+vb52dyBVoCUwrqaQk\nP5RFemCzCipTy1YT50OSbIW2Hh4eqqBrXcXVq1eZNWsWeXl5zJ8/n5YtW9b2kFzC0cXniCtXrtCo\nUSNycnLw8/O7waOrVbhdfG5UL5RJy2g0csstt3DLLbdUaD1lQrZarWRnZ5Oenk5aWhqZmZl89913\nbNiwgf79+5OSksLUqVPJzMwkPz/fbr8BAQGlLLZ69eoRHBxsZ7H5+fndUGLTtkqpaAKB1h3pLDHg\nepIFKhNnU5JnboZCW5At/m+++YaVK1cSERHBiBEj6jSRVhSCUPnO3X9VuAnKjRsOZRIxGAwEBwcT\nHBysuh4bNWrEJ598omYuaaEltpycHDuLTfk/JSXFzmJzrK739/d3mkCiteCCg4Pt5HnKm/S0mW1V\n0SnU7qcyhFCdcTaQz6sgCBgMBvR6fSlXZE3Xs1UUkiSxd+9eIiIiGDduHLt27VKFf+sqFLkzq9Wq\ndpo2GAwcOnSIoKAgQkNDycjI4NVXX2XQoEF/yaLbqsDt4nPjLw/lGhdFkdzcXJXMnGVFKi9tpb4k\nSfj5+akxNSXeFhgYSHJyMidPnmTRokUYjUYCAgLqzEReFhSiUuS4rFYrRqPRTjXEmQUHtasbefny\nZaZPn44oisybN6/WWky4qmsC560wli9fzuzZs+3OwaxZs2jbti3Tpk3j2rVrBAQEMHToUObOnft3\nbCXv9OJwE5QbbpQBZWLWEltmZiYnT57ko48+wtPTk5EjR5KXl0dmZibZ2dl27hkfHx+74mxXySNB\nQUE3lNi0CSiVSYAoL4GkuuNsihakyWTis88+Y8OGDbz77rsMHjy4Vh8A1q5di06nU+uaFIJKT0+n\ndevWdq0wdu/e/ZdshVHNcBOUG25UF8xmM1u3bnUZ91Am5fz8fKfqI47JI2XJapWlPqLoRULle5Hd\nSPWN8uJsrl59+vTh2rVrGI1GfH19adu2LcHBwQwePJgXX3yxxsddHhyTHr766itWrFjBnj17AFl9\nJiQkhMOHD//llMarGe4kCTfcqC4YjUZGjhzpcrliAfj7++Pv70+LFi0qtF1lIldktRxdkadOnSql\nPqIQG8glBo7qI8rf5ORkTpw4wQcffICvr2+57WOqE1WJs128eJEePXrg5+fHyy+/jNFoVAk9JCSk\nJodbZSQmJv5tWmHcCLgJyg036hCUidyVrJYraIlNa52lp6dz9uxZPvroIwoLCxk1ahSvvPJKubJa\nwcHBpYq2FatNKdStKRdbUVERS5YsYcuWLXz44YcMGDCgTsfztPg7tcK4EXATlBtu/AXgSGzNmjVT\nl1ksFho3bsxDDz1UKrtQITZHWS3FYktNTeXQoUN2pKclNkVWy5n6iDbtv379+uXqRUqSRGxsLB98\n8AGPP/44O3fuvKkEdOHv1QrjRuDm+vXdcMONSsNgMPDII484XVYdslrOMiIvXLjA4cOH7fQiHWW1\ntERmMBjYt28fbdu2ZePGjTdtFlt1tsJQOnDLaiU3hwVZ3XATlBtuuFFpaGW1GjduTOPGjSu0npbY\nFOJKT0/n/PnzdO7cmX/+8583xWTsqq7pvvvuY/LkyaxZs4ZRo0bxzjvvEBYWVqn4k0JIOp0Oq9X6\n9xaRLSeLxg0NPv30U6lnz56Sp6en9NRTT5VavnXrVql9+/aSr6+vNHjwYOncuXO1MEo33HCjphER\nESEJgiDpdDr1NXv2bEmSJGnbtm1S+/btJR8fH2nQoEFVngfWrVsnPfPMM9KUKVOkw4cPV+fw6yKc\ncpA7zbwScFX7AO76Bzfc+Ktg4MCBHDx4EKPRiCRJNG3alBMnTtTY/q5evcp3331H06ZNueeeezAa\njWzYsIFr167Ro0cPnnvuOZo1a8asWbPo2rVrjY2jluHUbK67Qlt1EPfeey/jxo2jvtIWVYPVq1fT\nqVMn7r//fjw8PIiIiODIkSOcPn26FkbqhhtuVBWCIPDvf/+bnJwccnNza5SckpOTWblyJfv27eP1\n118nPz8fvV6P0Whk0KBBdO/enXnz5pGRkcEff/xRY+Ooq3ATVDWhrPqH2sTAgQPx9vYmICAAf39/\nOnToUKvjccONmwHleJauG9u2bWPGjBl8/vnnNGrUiK+++ooffviB4OBgzGYzp06d4oEHHgBg0KBB\nWK1WLl++XKNjqotwE1Q1IS8vj8DAQLvP6kL9w418GnTDjb8Kpk6dSoMGDRgwYAA7d+6s1m3/8ssv\nnD59mjFjxrBlyxa2bdtG/fr1ufPOOwG5Jm38+PF88sknat+1vn37cuedd6ryVH8XuAmqBIMGDUKn\n06mtxLUv5cIpC3W5/qGmnwbdcOOvhLlz55KSksKlS5d49tlnGTt2LKmpqdW2fUEQeOSRR+jTpw+P\nP/44v//+O2lpaej1enJycti9eze33XYbd911l9q52mQyERwcTGZmJps3b662sdR1uAmqBNu3b0cU\nRaxWa6nXrl27yl2/Y8eOHD58WH1/PfUP1Y2afBp0w42/Gnr16oWvry9Go5HHH3+cfv36VRsp5Obm\ncvjwYVXuqUWLFnh4eHD8+HEAvLy8iIuLs+t/dvXqVZo2bUr9+vXFFRzRAAAHIklEQVQ5d+4ccXFx\ndo0//8pwE1QlYLVaKSoqsqt9sFqtANx3330kJiayZs0aiouLq1T/UBOo6afB60FmZib33Xcffn5+\ntGzZkh9//LG2h+SGG6VQXQ0EJUnC39+fcePGqZ8NGzaMs2fPkpSUBMj6g82aNcPX11f9jqenJx06\ndOC5557jjjvuwMfHBx8fn+sez00BV/nnkrsOqhTKqn2QpOqrf6goBg4cWGo8ymvAgAFO1xkxYoT0\n6aef1ui4KoqHH35Yevjhh6WCggJpz549UmBgoHT8+PHaHpYbf2NkZWVJ/9/e/YU0+YVxAP+aLzX/\nIA7TiAQhqYywJBMv+kdNKRYW2EXUmJTdiVd12eqm8i6oi0EQEaJSV1mriyyClSRk0Ahi4MLAgohp\n6RvrXeHa87uQlvvp7I+6cza/nzv3vrIHUb877znnOX19ffLt2zeJxWLS3d0thYWFEgqFFvy9Jicn\nRUTE7XZLdXW1hEIhuXz5svh8PhERicfjIiLS19cnOTk5snPnThkeHl7wOjTBfVAEOJ1OOJ1OtLe3\nK63DsizY7XYEg0FUVlYCAFpaWlBeXo6Ojg6ltVF2GB8fR2trKx49eoTS0lJ0dHTg6NGjc37P2NgY\nnE4nhoaGkJubi6qqKly4cAF79+5d8PoePHiAhoYGdHZ2YnBwEGVlZdizZ8+M9xoZGcH79++xY8cO\nAFNPcn6ep5VFeNzGUmOaJp4/f47du3fDMAzcunUL/f39uHLliurSEAqFYBhGIpwAYMuWLX8036dC\nujdv0vy1tbXBZrNhdHQUL1++xIEDB1BTUzPnVouVK1dicHBw0WsbGRmBy+VCQ0MDGhsb4fF4khr8\nyrT+exUVFaioqACAJdf6iAGVxSYnJ+HxeJI+Dd69exfr1q1TXZq2y/JT+blc/8SJE6pLoT9gWRZu\n376NYDCIvLw8bN++HQcPHkRXV5cWI/SioiJcunQJpmmiqakJq1atAvArmFKNjpZSOAEMqKyWrk+D\n/0LnZfmp/OZxOGlE9xG63W5HS0vLjMMbs+yx3bxxFR8psX79esRiMQwPDydee/XqlRbL8lPRcbm+\n1+tFXV0dbDYbWltbk649fvwYGzduRGFhIRwOB969e6eoyvTLhBH6z3CafiIyJWNAkRL5+flobm7G\nuXPnYFkWnj17Bp/PB7fbrbq0Wem6XH/NmjU4e/YsTp48mfT6p0+fcPjwYVy8eBGfP39GbW0tjhw5\noqjK9MukEfr/R1H0C38ypIzX64VlWSgrK4PL5cLVq1e17RW4mJs35yNVA+Ol3rw4E0foNBPnoEgZ\nu92O3t5e1WX8k4XavLlY5mperHrzeDpMH6Ffu3YNgUAAPp8PAwMDqkujv8ARFCmj8z/46UzTxMOH\nDxOdQ3p6etDf3499+/apLi2lTJiDWWyZNEKn2XEERcrk5OTg3r17GB8fh2macLlcCIfDiMVisNls\nWLt2rRbP53Verp9KJs3BLJZMHqHTFAYUKSEiuHPnDgzDwObNm+H3+3Hq1CnU1dVhYmIC3d3d6O3t\nRVVVlepStV6un8qmTZvQ2dmZ+Fqn5sVEf0r9x1Nakr5+/YpAIICmpibU1NSgsrISXV1daG5uhsPh\ngGEYibNwKLVUDYx1bV5M9FdSNekTNoulRRSPxyUcDovIVIPO9vZ22b9/v4iIRKNR+fjxY+K+79+/\ny8DAgJw+fVpZvbqaq4FxupsXE80Dm8WSnoaGhnD8+HG43W60tbUlXZuYmIDX68WLFy9QUlKC69ev\nIx6PazE3RUQLZtYWGvwrJyUikQjevn0LAHj9+jXC4TAcDgeAqT5qHz58AAAUFxfjzJkz2LVrF5Yv\nX66sXiJKPwYUpV04HMaxY8dw/vx5iAhu3LiB8vJybNiwAQDw9OlT+P3+xP3RaBRfvnxBUVERgMxZ\nnk5E88NVfJR2BQUFqK6uRiAQQE9PD2prazE6Oor79+8nFkY0NjYm7o/H44hEIjO6JRBRdmNAUdoV\nFBTA4/FgbGwMy5Ytw6FDhxAMBvHmzRuUlJRg27ZtKC0tTcw1xWIxRCKRRGdqdnwmWhoYUKREXl5e\n0gFt9fX1qK+vT7pnerfnSCSC4uLitNZIRGoxoEgL0+eVpo+Qfvz4AdM0EY1GsXr16hnXiSh7MaBI\nC6lCx+/34+bNm3jy5Alyc3ORn5+PrVu3wjD4q0uU7bgPijKCiMCyLBiGgRUrVqguh4gW1qyfUBlQ\nRESkGjfqEhFR5mBAERGRlhhQRESkJQYUERFpiQFFRERaYkAREZGWGFBERKQlBhQREWmJAUVERFpi\nQBERkZYYUEREpCUGFBERaYkBRUREWmJAERGRlhhQRESkJQYUERFpiQFFRERaYkAREZGWGFBERKQl\n4zfXZz0nnoiIaLFxBEVERFpiQBERkZYYUEREpCUGFBERaYkBRUREWmJAERGRlv4DYBehiUemRgwA\nAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f2f82c0bbe0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Saving figure manifold_decision_boundary_plot2\n"
]
},
{
"data": {
"image/png": 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zbmstOC6AdVBXSyEEkyZdQUoKHD+eRFraSHJzFcuXQhXcJ070MbwQycmC4uKv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\nbW4+y5Ejob3/eq1t2bK5TJ1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oQVG8DB0KJ0782RCZoAqyw4e3BCwC+men9hPg3Xfh+98H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\nKSgosLbvpgBb8FddcRBnnDbYughtMNiZ6ezg1Bm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7wmYL27RTODEH6EsczZ49jp/+VOXY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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f2f82c1ce48>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Saving figure manifold_decision_boundary_plot3\n"
]
},
{
"data": {
"image/png": 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w/Dj6zHzPHrj1VvXvvn0trFvXitGjvzOduSuKEjTbHzpUYdkysNm8LFo0nVGj\nbiczcxXbt/+dkSMVJEm13D78cB/t23u57jqFtWsXcMMNI1m/fqGpG9HMpZblzjIN9Y4JKntq9eoQ\nLJbGOn+A6p4cZqj5V2l5dcnpRby1nD//Wb1niqKwdGkqzz+/PuizHIsTL2FBNWPcbjeyLIdNlI1W\ncEOsBEkIzNHWnGT5KJIEN9/sLzK7dkG/furvAweqltPAgdC7t+rqc7stxMW1Y/nyLiiKwrff7qNb\ntxIGD4YhQ2Q+/dTHiRMDOXVKMjynOnMH9LydgoIz+mz/yBHo0weKi4+SmbmStWtfoVWrMgYOVI8f\nOLCcdeuqRHPQoIO8/PIMevc+ZOpG1FxqQbX4tLDtego3b0wKCs7Q6+YTQRODzMxVHDiwlylTpjFv\n3gweeWR6o15nKIQF1YxJSUnRu2E2Fy50oQwVQFBdYEFm5krOn1+PzQYWi2oVvf8+uN2QmQleL/zt\nb+q+AwbAM8/Azp1QVAQpKXD99dC9+2xGjbqdjIyVeL3/S0FBlZANG1bIoUOtee21dwFCXsucOU9w\n9mwbfvjhDFdeeYSCArj0UvjnP+fxs58dokcPfytt7Fj173791LWuHTuWMm1a6BI/iqKwde/HfD+s\nstJ1DfKLAqnPIAedQtXKmzR1Uq0qWpSUuDh69CoWrXBSqKgJzgrg805GVs6zelsm3dqeYOPGq2PS\nxdecLSjht2piXOjiEg0yMlayYcNrZGau8gsTf+CB37J37wIyM1fq+2qP+3w+XnttMg8/rHDunLp+\nJElw111w333QuTOMGYPfLHzUKDh6FP76V8jPt/Dllxezf79qDe3fv5OcnHgeeAA++AD++U9YtUqi\nqCiTjRtXhw01f+yxF5g1az0ORwoul+pmdLmgtDQHqODgQVi8GKZOlVi3TnU/gvpz1y4YNaqEPXuq\nrtMYRg1q8EBp6Y+m986YMxWJyLw681U9hN34P6oV0VuqQRxm1dcjoWPHLrzwwgZadUrjh5Eufhjp\n4seRLk6PPceZX8gcLTjM/fdXpQLURy5aXRAWlEDQxNGsoylTprF48Qwuv9zDokXTWb16GRUV25g9\n24PTuZ5Zs2DWrMfJytrLo4/OIDNzJfv3v8aYMSu55ZZCJEm1SD7/HJxOKCyEM2fUgf6nnyA7G777\nzkJSUjJebxxduhQjSV7uuCORTp3m6K603r2voWXLpUgS3HEHHD8OrVpV8NBDCkuWLACUsG0gMjNX\nkZiYpVvlZ3gxAAAgAElEQVRLAwfCkSOldO2K7t575x2Frl39RbNPH1i7NpHExFZ8911nDhz4jnyv\nhxLr48xf+XcAnM59lIbwGnRoc6m+1qMN1NEsBRRu0E9rm4Zzk5N8Vz5ya8P1VY5Sgd2Dg6phFFIr\nWreS2bNHFfJNm1ZTWupmw4bX6NnzKkaPHle7k0aRaBWLbYo0z1ddQ4TVEvtoFsns2R7gGBMnwtNP\nH+XcuaM89xzcf//r3HtvVfj31q1v0Lv31bz77kwmTfLw1FPHGDJEPdeQIbBxoypOp07ZGDfOw7XX\nVj3Xnj2JXHbZfDZseJ377vsKUF1pS5YsYP/+r3jkkel+EXlDhsCaNXDHHVWBDcePK2ELmGoW2F13\nVQCqS3HVKgvHjl3M99935cSJoxw9eprvvvOxdaudhAQbigI2WzLDht3KlCnPs2XLes6cmciZ4sv4\nfuBhvqfSakonpCvvzNmTzJkztVK866cUUCix06yuoOCHSvQ6gZUuxaDQ+G1g+dBCW0dbvVQSVO9u\ndDhUN+yECep7mJdXoE9wRo26vdGDgoQFJWgQmqPQ1fbLrc3ex49/zG+bZiVpi9raPf3r3CnYLyli\n3eqFXNxW4eEFcD4e4t3wn//AlVfKxMer57nuOvjHf8v53VP3IiXJrH9YXXO69TFIiINrusEvfqHu\nu3ZtK374IZ3ly9XF9vz8HNq2vZy9e//DVVcd8rNeunf/hs2bDyDLPpP8mypLZ9CgcvbsUQMkQrWB\nMFpg2jmMVpqiKDz00M3cc88eli7twSuvbNaPLy8vr6x28TjPPlvE3U+FaWEbgEUq5uDBv5OZeTXr\n1r1CSXwRD86dQFql9aVR+uN5PlmxvdEHb0BvbQ+QYk+pqvMXYRV2SVInAHv2QELCfiTJw8SJMHv2\nMT28vzFpzmtQzfNVG4iJL1gTI1Kh1fLKtPB97Vhj6SfjOY1kZq7iyJF/smVLD26//Tf6tsOH32bO\nHC85OUv0mX1m5ip8KWfZfzVwtcIxw3kuWgsHDsCsWWo4+GdZcLII8i1QkSTDHVX7lgMlwLaPoLUE\nSUlw223FdOo0npEjb+Ohh27mqadkli5N4dJLu3D0aAnHj1twOvfRrl0xx4/LXHFFGZ999j6XXdaR\n1auP0KmTGkQBcPHFqnsuMArQzIoKrMat3k/0atzVNeObN286l1zyE3v2QHJySfCbY4XkNdCuhcS5\nc/G0bFnOD6fhbBk4Ly7j/ll/plWrCvLOQ8mtxeThb9G0ybbETusKL3oxXGN7e+cmp1/rkKycLNOk\n3+9PWPjkkxTKypJxuQr49a+rwvxjwYoSFpSgyRANK6w+LTljJfeKigpdkHw+n/64sWBn4HVprF49\nn/Hji1i06A09suqttx7DdnERr65dSKefyUycM4G0FW/gzN2PN8TrsVrhll9ouUjw0odw7nbgKkK6\nuVq3hoMHW3LNNT04dkwVBWOeUs+e39KhwwOMGKG60Tp3Hk+/frBzp0xcHKSnF/Pxx+0ZNcrCkCEy\ny5apkYB5eTB1agIpKQkAlJcn8/33XfyER8NYjVu7V3PnTgPUNYlwzfhkWWbHjqVMn66KckqKyb25\nHpLW2xnU7nLcDidWK6Smwv6rYT/A1eWcI/Q9urS9zNq19dMAUIsM1NtraNRwtHJ73P6uwp+ArWog\niF/S7w2qpbVhwwoWL76XAQPU7QMHwiefqFbUqFG3N1prDmFBCcLSHF1zNUETpYqKCjweD3Fxcdhs\nNhwOB5IkUVFRETbROVCwMjJW0qfPYSQJevc+zNat69m7dxeH8/I4fRrK75DVQZRiTrMDuoFlufm5\nS0vQ14+GDIEX36/+9ZS6IaXCxcyZq/Xrnjx5BPfeWyUIixcv5Oabb/ETisGDVUGYMKGU1at/5NSp\na1i+HH3wT0mBXr36BIlPJGgJui1bwpw5wS5EoxU1b950Ro8u0V1XX2WYn9MixdG1601kZcFVV+WQ\ns6tm6RbGXKJoDtzVrUUBOI87VcHxogZHGIU0VC5X5bZeOeYVMtaseY/rr5eQpKrvusWisHr1vwEa\nrTWHEChBg3AhCZ2iKJSXl+uiZLVaiY+PJykpyU+MjDlmxuRQ53Gn3hnVrthJ65bGN1/vJbl1CpK3\nlHbtSvn356Aopbh/eowUj4vSeChPNr8eOYQHRPHBwwuq/q6woA5mYT757S+B3wySmT37aR5+eBqb\nNq0JEoRevQ4xZ85Uevb8lpcWqW5DUMPB//dZwJqPLe8KPnjzoyCXpmZNBm4PNcAriloholWrMiZO\nhFmz3ictrS/HjlXtf+LEcVyuHYwceRtfffUhTz2lbh8wAOYvtdJ6jRVHahktWlSdN7GVmz59ruHE\nid1cc43MB7tC35NAiopUoZ49ezoOR37UB+5JUyfhPO7EkePw225X7KRdm6a2ki/Gz0WrU8NcLo3O\nnbty6lQR77+vEBdn4dSpM9hsTiSJkAV+GwLh4hMIIkCr5q4twldXgSOQUM3nXCtc5J3Mg3goGaFa\nI8aKbJ0+OUNCGTjscLaGOdXFwL6rDBu036sZxAYPhlmzPsRuf4Hs7L2cPXsVx49XPe7zyRw//jmd\nO/dl56HdFNwa2LZcwbclR++oDMGWopmr00y0Pv54DQkJasg5QELCGW644QVGjlQFYdOmNXz00YP0\n7DmY9es/IimpwHA+mHJfPFlZ15OSUkxurrpelpeXQteufVi9+l369PkWgLzT4e+JkaIidU0MjjF+\nvOJXUzCcK+yhaQ+Rczon6PMSGNBgWpcP1fp5dearanPGk8GP14XHHnsBWZZxu90kJSVVBqH4WLAg\nl+uu+yFs1GV9IiwogSAEPp+PiooKvWW9zWbTaxQmJ4cwZwxMfHoi2XnZQOhFalqiLnKHEI3v88GV\nAMVngMtCPFGFenxSMaRaU0hL6wPALssuPASKRyXWyuc8jxohUTmeHvSoEX0W92nu/NPtdOjwM5zn\n/Q9VFImu3a7ixWcXsn/CGH1h3kjHjl1ISEgIccGB5zMXLVmWych4ndLSCgYMUAMrEhJkliz5Gzfd\npIYarl37KuPHF7No0QJ8vpZIksz8+elceulFleeCSy+9nB49BtK582T694fdu2U6dPgjWVlf4nS6\n+Oyzs3gqsk3vUdxyicvbgsNRJaTWljB9entGj85DkhS/moLhXGG5Z3LZ2X1n8PPUoa18IFqlc3eh\nu9YlnIxBKAMGHNMnGaGiLusTYUEJwhJrrrn6vBZFUfxESVEU3XWnCZPb7Q66hgf++gA5p6tGmexj\n2bgr3LgL3XjurhSIcNHO2wiZaClboSAVpHCJmBcDwyB9L/z+OplOndQq3h2GdzAXqDNAG3XBnHhw\njatajPdW/mcr5Jw+QlmCx3wtxGQ8ry2h3HybNq3Bbj9Az57q31q19BdeOMann2YAEn37HqpcrzvE\n9u2XMnmyzOLFDl58MVMPzX/44an85S8j9XW0/v1LWbLkdebNU/eZMmU0gx2wc00CLRzlODTPWgrY\nLHCpPY1L27dBLRIEsqxw9OhRdhxSXYOKUspP/x0PwCWXlPDk7Ie58cZRQVGb4T67iqJUO+hrybpZ\nOVnqpMIEubWMa1jl+6mFoP+o5kjFKXE4WzhDlk3Srs8/j03WCwI3hhXl8/mI13IkmhlCoJoY9ZHR\nr4WDa+tJAPHx8aSkpPh1BA48/oG/PsC6z9bhltwUu4uRLZX+Nwm4CBgOrIjwgryolpQZmoX1X6qs\nnsKA/Q2f5H79Srn/iYeZv/Lvaj+hUJwGd5wbe5I95C4dO3aJ7PrriaysL8jJuYgTJ0pYtcrD2LHu\nymRjWLRoHu3a2fSBVJbdDBx4TF8j0yyaI0f+yUsv+ejV6yDLlqnlm7R9tm7dgKIo9OlziH79YMcO\nH6tXJ9C9Yzl5eaolqihw0UX+wR0ZGSv4/vsJ/Gub0YWqhrOfBjp/epYtW9YxfPitPDzzYXLP5KIo\nCgecB6Bb8Ov0+XyUlFSFw4eqj6kn64ZJNvbDEIIuV/7LIw9nTuiySZs3rw1ac+zb18Irr6Rz2WVt\nTKMu6xOv14vdHvozeiEjBKoBiRVLTLsOzUryeDxYLBbi4+NJTU2t1p2gCVbO6RzykvL0AcCPWi5U\nh31eoJMMjpZw4jyUF6sFXGWPhMOuEJ8JHSpL//zkOUNO+hk4EOJkVqAleIZ58GwN4QKk0i0J5q7J\ncFR2qR0zYQwnTh6nY4dOQOTJoxqPPfYCjz32gp6YO2SIWmTv2mshI+MwN90kVbaQUBNNH3hAHdhV\nC2k+IDF+fBGzZr2P3d4RScrllVfS9IH2/PkdnDixWxe5a67xsm2bj3vvha++qrJEjSiKwpIl8+nU\n6Sry87PApFVHaqrChg0LGTPmTo6ePcqObjvUB34wf51xcXGkpKTo34+I2ttUTlYsZy0k21V3s7vc\njbett9pDtbUmIMjCO3BgF+fP9+HoUf+q8z179uHRR2f57dsQbj7Ntd4cEQLVjNA6BGvrSVrkXZ1b\n1hsy+XUKUS0eqBKr86gWVQVYLBIWi4TXJ0P7yuM166jS/aZT+SmNs8D1HWHnYZCskGSxY02wUVbm\nJT7BSivJTqcWaSxfDmW+nYCsr00FURHZS/PLwwmBaY+loixcYyuTRtPheyorh9dyrcWsO+yYMeWs\nXdue777rwqlTZxgwIAdJkvXHExKy6NpVFbARI4rYvj2VyZN9fr2QMjJWBlWsGDpUYfduGDDAfL0l\nM3MVKSlOhg17nX3n/84PJutvZkVqI8HYt8q5qSrSE1CtdK+sft6uR19TuibnGj1sPFxouhGt7xv4\nr/upE4EZ2Gw205w9TdTMcvhCRWUaf0ayj/EniDUoQTXEiuVTG2RZ1q0kj8eDzWbTraWkpKToPInB\njeLHCkKGAaeehyfvsjF7WTkFWi7LHYbjzM4nWdiT25bjZfl47pQBd+V/lS45vZg1Sx2o/jW8Ax5c\ncClVuTJGl6C2PQqYWURjQgRO1BatssTGjfuQ5WIuvRROnQJZ9vH88+uZO/dJTp1qw/LlVe4xpzOL\n3/5WdXEa3X/GNRRjxQpjHyq73bzKhaIofiHXYAgCMUxUvj1nYV6+FZv1cc6fK62yQA2BKRafhRS7\nGsywK34XHYZ30LvhAlABrl+YTBCiZJ2bRcb5fD5kWSYhIQFZlrnrruEsW/axqUVXXVRmoPDVNKJz\n586dTJkyRQ+0WbJkCSkpKbRv356FCxfW8dU3DZq9QDXFUkfViaUW5ODxePD5fNhsNn1NSZIkSktL\n6/S6B9wygJ8qfqLEXQIyNf4U2QostE+R2bLFxiXJLUn0uDntK8JbuQBPiEtrndqWYqsVT6saxJpr\nkVtbCRY9Y4SXYdCzFFQNnJ6OHv99UQMreqb1pGubrpFfRw0J7F312GMv6D2mtIrmu3ZBbm4hGzeu\n9lsfcrvdTJlyH2PH+kzdf8ZINONxWh8q7aOxfLl/eSUgqMTS7q2XV120YaLiQeZHXIAL24eGwd3w\nfsjDZLWTb+V748FT1Q0XsOyveTegoCoUtaxwDjB79tPYbHuYO/cZHn/8uaDHq8tfqy3a93vIkCGs\nXLmS999/n+TkZAYOHEhxcXGN+9cNHTqUL7/8UrcKO3TowKFDh6J6zfVFsxeohiYaZYrMzqnlKGnu\nu/j4eBITE7HZbFH/Ah0/fRxPew9o67ahBoEQFkrHtgpvPAN79sh06jSXkSNvo/+Irti/PoMkwQkF\nij60YLenkGhNJL2zOv1ObG9j33efQW0Mv9MEz7y16w4IP05Zn0Kv9F5k5WTh8VYKlCFMuVdOL1bO\nX1mr+2psGRFuLcqskrhZhfOMjHguvniH3zrRxx+vpaRkE9u3d+H48Tam7r+ePb/lwQfv5rXX3tNf\nR3UVLjTr6Z57SlEUyMkp5aTzGI4zashfsbsYeascdL8scbVrCKoH3QTgcDvolWMoVWSoVh7YMdhZ\n6sS9vsrK1iy06iqcy7LM558vZvp0mD59EY8++rfI1sWigPZ+JCcn07VrV+x2Oz179mTkyJG1Pt/r\nr7/OfffdF83LbBCEQDUg0RQKLfJOEyUAm83mFw5e3fE1wRhG7rEaggoqgw1MCfHp0mrDaTN5RZG5\n/9el9OtXtc+ePYl06rSQIUNu4u9/n8Mjj0xn8uTh5LeXOXPe/LxG7Iod19YA91CgBbUNbB/ZGNhr\noL4pKycLV6ohUkyjhm6lgoIzfs/DWUABl9fF9gPb2SnvJGN7BqOvHc0rM17xs5YC3WjaGpBZhfOx\nY2U6dRqiP5WiKGRkvM5DD3n0tSaj+894fceObaxRuLTRetq1CwoKIOmicn4aZRLvbbhfyfFgXQMl\nKYbH62DZ9Eo3L1VkpK4NE2fPflovFzV6dElIK6ohiMYaVFNdohACFQGxsgaliZIsyxQWFuoLveHC\nwc2ozevJOZ3Dtq7b1D+Mnq1arAcE1pBbu/Y9UlLMK3e73W6OHPmnXn/um22RPcfoa0f7dWDNcmep\n7iQj18PAnIH6YDdp6iQ1as8kodM4a4+k02xiuYX2Gx2cKS7GI8lBa3EyMnlb83DmO4OspVCVyqur\ncA6qiPTufchw7CokKYFZs9brnw8tIvD55z01SjrVnj83V+brr/cwa5aHTQ9bUP28oenYXv3pV9Gj\nHqI8o4G2VqRZT6BWFWloK8qI1+utcxTfk08+yRNPPEH37t159tlnufHGG6N0dfWLEKgYJ7AQq/YF\ncTgcsRPZo63h5ENCPJRr9d686AORw+2gZWIyHm8JHsnO8uXqIK8o8LOfdTV1LymKwsSJw7j//iJm\nzFjE9Oml/GsbQWtG2vnThgS7ejQiCVpw5jtDRu0FztrLy0NkiVby6covq573ZOjndWY7mfTSA7Rr\nV6z3XXI699E/XbUoQ60XmWF0wYF67IIFM4iPz/NzFVbXqiMU2vO/8MJT3HrrTiQJLrpIoTqDNj9f\ny/qtPiLSDwm/z49WgTySCUJdmD9/hm49AY1uRdW1o+7s2bO58soriY+P5z//+Q+33nor+/bto3Pn\nzlG8yvpBCFQMYgwHDyzEKssyJSUlsSNOUGVxfADdL1dbNgQSqoJ0ODIzV9Gnz2H27EEfMDqkqo8V\nFUkkJnanVSu1nE9N84uqJSB0Pssd2dpRjc5bCKe9p1HaKOSVAGMq+y6lw8m96i41ERGzUPQBA45h\ns1W1xgDCturQMLb3ePTRGfpjxrUZgMJic0vcds5G63WtcUtufDa7Gi5uDEqpnGQ43A7sil1fJ3KX\nufG0qnQhX0S1Fcjrg337PkeSHHz+edU2RQFJ+rRBnj+Qurr4Bmj9Q4A//OEP/Oc//2H9+vVMnDgx\nGpdXrwiBakDCuda0cPCKigq9OKRZIVZjbkasYQU6OkCqHFxdLigsTOTKK/vVeNZrtAbef1/tp/Tp\np2plg04tMK1uEFUCQuf1Rnh1rRkXcF5Fi1wMsAjz8x0sX65aDJobb+TI20xFQ8PogpMkiXPnzpKX\nd4S0NPxq5YVr1aGRmbmKgwf/TmEh9O7dT3/MuDYDUO4zf5n2RDsJdit5w1zBrlVDRGWg8Bgr3gP6\n/a5vq8nI0qWbY6pyQ7SLxcbKkkUkCIGKgPp6Q80KsdZX5F0gf5nxFzJ3ZOKWKmeuhW58CT7ipDji\npDjiE9TaX3bFTrcrurHvyD7/tSeNQnCsd9DKnoI1qYSEUhd9W1bmdLQAVwsvvxt3P6NG1axtttEa\nuOsudZsa9Rdc2SASzJJp9e1GjKWUTNCi8Lpc1IWXp74c0fNm5Zisf1VD585VOV0aGRkrTUVDQxPr\nsrIyLBYLv//9QFq1gq5dqyylyy8fUO06ltre4xUefLCMhQthzZr5uvW1bdsHdO4MR46ox3nOY7qe\nJLklSpUfTV9b/DkbA3IG6vfHSFSt4AuEulhQ58+f58svv+TGG2/EarWybNkytm3bxoIFC6o/OAYQ\nAtWAaIl6paWlIQuxNhTOfKd/maLKWa2MjAcPZZQB4NrqIq9rHvygFtuUWwcsiLeBPpf2YdNbm3jh\nhUfJz/8Gp/MbvaVDWlpf9u/fGVagAnN+oMoacDp9+pezLjXQIh74jHlTJmi14JTsyCYsr858FaZC\nxqYM3J7KmoXVBBWYEUo0Aj8ziqIwf/7f6NmzL3CMiRPRC51267aPbt0eYtSoF03PP3fuNB55ZDqZ\nmau48sosJEnNt8rNzdKtr9tvL/aLtvz8pMTRG4LvhXVNOZe2lzkT9Ag4Enz8ZVztJhrNkbqsQXk8\nHp5++mmOHDlCXFwcV1xxBatWrSI9vaa1uxoHIVD1jLEQqxYOnpCQUOPIu2gyefpkspyhq0Gbcr2a\nH6RXiTaSq/544om5bNjwEZ07/y9XXw3z55dx000TGD78lrCnNsv50ayBkpIS7HZ7g0RPGa0s06i/\nWmIUx9pWmAglGoGDfGbmKpzOxeze3YWhQ9XusH37Wnj++XZAHkeOvGs6WdDeg8zMq1i79hXuvVf9\ncAwYALt2VbB69cucPi3TpYt/o8Sioq8xVvPQSE0tI9RHOxrt4oNcgZVUt0ZY2+Mak7pYUG3atGHX\nrhp0oowxmr1A1YdAmEXexcfHEx8fj6Io0SsxFCGBrTD2HdlHkb0IiqL3HC+++DSPPTaTVavm84c/\nlLJ7N9hsXt56ayo33/yLkPc5VM5PY1BTIXl45sMcPXs0aHttBrtwyaea9RQoGoFWlHYv77+/mBkz\ncrnmGtVSGzJEZuNGF9OmybzzztmgIqfG92D27OkMHXoqINACli3bS+fO8dx009t+orjmlu6YCZTD\nEbRJJxotK/yaXxqpZo2wtsc1JqJhoSAskiRVW17EGHmnzXgCC7GWlZXp7b7rci21ymH6YVtV9Ji2\n/muhqvBmHTh7Np+vXQu4885PGD5c7c6q9S2aPfsoGzeuYvRos6J8tQ95rm+CSuZoGL4xuWdyq6p0\nGwkz2IVcCxsSWtSM1hMQ0orKzFxFz54HefllGDUqOEx6zx71HmdmruLAgb26S9X4HiQmfs+WLal8\n+mmCfnxBQQUdOpQxeHB5kOWTfnF3Stb8CNhJSLBRXu4hNdVNxw6VF79XjbhMSOhGQcEp2rUrpoOj\n/hr/OY87GTNhTND26iYN2nFaEJJmsae1TeNnjtYhOwQ3BKJYrKBWmBVirUkL9AYlVEHXGiRM2hU7\nfXL7IMsyiqLoX5rvf/iGa+7y8OGHe/j66yvYvh36989GkmSuu05i9ep3dYEyrjdBZCHPjYE2mEVa\nHbum560JWVlf8OWXSWzaVI7VqrYYsVjseL0taddOXZPTrKCf/9xNXBxs2waffaZGPTqdapt3ux1+\n85tSZs+ejsORz8aNVzNy5G1+78FDD3lZurQrr7yyWZ8M/eEPVzN5ci6vvw59++5l48ZVjBo1Tq3r\nllzMX+fA0qU9eOWVzcyd+yRnz+7TxU2LuHS5Uuh78wm/9av6mJC4Pe5aWUj5rny1hXxA592CL8/g\nTv0hZIfghqCueVBNmeb5qutAdYVYYwWjW2/fkX1VVlMghagidRr4AGxWW3AUX67aYS79hnQWPruQ\nWbOe4sEHn8ThcLB+/Yd82/337NkDL74ICxZ4aNXqIj/3UnZ2ge5WMq43RRry3JiEsni6tOlC7pnc\nBrmGRx+dxUMP7eKee/boxV81QdA+c5r19OWXMHmyGhgxcKCP8+evZsSIvbowqMb3McaPV1i6dAGy\nLOvvgaLAsmXQo8dB/T3IzFypV0FX02l8/PvfMxg50rziRaiw/zlznuDo0WKOHq2yULbsdVJifZz5\nK//ut29jrAfJrWV1AhcwYTt2MpeFC7yNOnGKFQtKq/eZmJiob9MiRuur468QqGrQIu+8Xi/nz5+v\n90KsdSFQlFxjK11T34c5yIvap+lSuP7S69n01qawz7Fhw0ccPvw2mzf3Yty43/LOO9MYPFjR22G3\napXLFVec9BOdXr3UwUubrWvrTZGEPDc2oQbK8vJybp9c/TVGY1HeLAE3UMizsr5g//7LGThQLQrb\nt6+FHTsup6LiUzp1qrrHp06d4frrc5AkRS8zlZqqPn7q1BkUxcnp05dTVKTmXb377kwmT1YnGwMG\nqMLXv/9RMjNXsm7dqxFbv5pwafUj7XY7YyaM4VD6dr4nIBw9htaDlDhvo0+cYmENyu12869//Yuc\nnBzGjRvHtddey9atW5k/fz52u53nnnuOrl2jX91fCJQJgYVYtdl/cnJyncLB65pP9cBfHyA7Lzvo\nA5t+cTqvP/e6f728cKJkpA0wTM1lSr84fOipoiisWjWf8eOLWLx4IfHx8fTvn1vZykHdJz4eMjJk\ndu2SSE1VKtcfOuJy7fSzmHr2/JZOnSabhjxrz/XSS9MZP/6xCF9IbJKxPUMN5w/AmR265XggkdTg\nU62sm/0s15ycVD8rS6vBp+3Tr18pBw6cZdaszQA89NDN3HOP2tDw0UdnkZm5ikGDvvMTxr59Yd06\nhR075nHzzTkRWb/GqhR/+cszEb/ucISybJ2KM2z0ZSRri0Y0w6Ux3c/RqMVXW7Sx7+WXX2bzZvWz\ntGLFCmbOnMl7772Hw+GgqKiIKVOm8Oabb3LJJZdE9fmFQFUSGA5uLMTq9Xob9UOikXM6h8/TPg9+\nIFcVr31H9lUJk+a608rKmCWkGOjTvQ+vP/d62H0yMlbQs+eBSqvoEG+9NZfSUoVRo6oKwP72t7Bt\nm4eEBHUhX20PnsojjzzP5MnDI55xa67ALVuu5JZbfhX+4huJrm26IuUEX7sxAs8tuU3X/owtIMIR\nzgJ7weBOi8TKCrdP4ORh48bVlcI4iFmz9nHJJcW6G1CWoajoR44erRJNtVX6d9xwww7T0Hctwbhn\nz76s+fxjjhUcUwvznjTsWLn+48yuCnRwZjv1ZHJjM8O0tmmmpY/GTBij95Myo6Zri9q725hWlM/n\nazQXn/bdbN26NZmZmfrE+E9/+hNvvfUW7durlYBnz55dL8UMmr1A+Xw+iouL/cLBAwux1jXyriHI\nOfGf+WkAACAASURBVJ1T5dIzopWV2YbaqRb822NE+AnQrKc//EEVmP79S/n44x+Ji2vP9u0lbK/8\nrmtRXO3aqQKlufjmzHkm4vUmY9jzokVv8Itf/DLCu9CwvDz15Vr73ovdxdXW9ps0dRLvbXmvqjad\nhlWNOjNitLJkWa4cWCS9RNJLL01HlssoKAi2xLZufYk2bazce6//5OGVVzaTmbmKyy//M4MGVR2j\nNUocNqwq2TYjYyVnzkykT58hGAlMMF679hVyvQns7L7Tv50J6Os/bskQ6HASXeCNzQxDuQEjrhgS\nCm1ip11/sY3lywdWvpbGcT/HgouvQ4cOrFixgptuuomLLrqIP/3pT7r1lJKSQsuWLfXOv9Gk2QuU\nJElYrVaSkpJiL/IuGgR84WiJ6Yw++3A2I/48Imi75j40Wk+gCsyIEUWkp//TL4T8hRce5cyZb5Ak\niY8+0mbcMseP+6+FQOgvvHGm37v3YTZtWh0yTL2pIsfJbD+5naycLJwTDG1BvsqCyhyiYncx8v+Y\npDdsVaPVjBiDE8rKyoiLi9Mt/oyMlRw+/Da/+tXrQS7VjIyV/P3v/x9XXqmYTh6ysr5g377WfPpp\nVdi6okBZWXJQBKFZLltggrHTeYBzJzrV4c5V3qfKklPgv54X6bpeoJDpLr82+EXxXZUzMKjkVEMT\nC0ESaWlpDBs2jDfeeINx48YxZIg6ERk6dCjt27dnyJAhQqDqA4vF4heVYkZTKq5YW9ySu2r9ykhl\noNq+fTvIzr6czMxs2rbtRosWrYiLi6OkZLufeDzxxFy/wxVFoaKiImK/fWDLiP79S1my5FVGjRoX\nUwEpdUYBhhmK0FZi2W9BHlspSlHomRROPLTH0tLK2Lw5mfXr29Cz588qP+/q5EEVvvAFebUJBcC5\nc9+QmbmK0aPHhUwwLig4ZXoeLVnZaQu/jgRVJacAU4upuuCUQCHT9lcUBbKrXFsNWaQ2FI1tQSmK\nwhVXXMGPPwbXVpw3bx4FBQXcdNNN9TLBb/YC1ZCDXqMIndFi2gb8AHwAqSmpSJUednu8HeIJOyj8\n3//NYcKEG3nySZmlS1OZPn0lLVq0CLl/bTFbJ9GiAGMlsq8m2G32GpVMkn21a48einCJ0Npj/frB\nu+9WsHfvTwwdOovRoyMr7KsFP3z33TbuvbeqesiiRdP1EPVu3b4OSjDefqrE9Hxaz63q1pEioaYV\nIzTB0oKi6sMaqC2NKVAHDx5k48aN3H333bRr1w6A4uJivTLO1Veb9NaJIs1eoJoS6RenQy56UrBx\nu7GUUUgqXReO9Q5y1+WSmpqqPzTizyPCDgpGF1/PngfZvHkdd955d8j9je1DvF6vPhEwTgheeeU5\nJk9+Wp95SZLEvn07KCjoy9GjABKy7EOSLJw/v0OvqN2ULKnRA0bjzHEGR41VhDlIs5zq0BYdzBsY\nalYUVCVJKwrk5Hjo1AkWLZrOyJG3MW/ejLDVEyZNncSuI19wOj+beJvCN/Phhx9g0BVAyTEyM1ex\nZs17HDsm8+mndv3zqigKbncZ4DE9ryCYxhSoN998k3/84x9cfvnl3HHHHVgsFv7973+TnJzMnXfe\nSXJycr0+vxCoJoQWZVdQUECrVq38Bo8H/vpAlTvuyD5c5ZWDYZu6P68WIPH//l8p//mPWo1gyZKF\n3HHHb4NquhlFyWazkZCQ4BdIoJWS2bhxNU7nYrZu7cfw4bfo2ydPnum3X9WCv1o4VsMoeKF+r8m2\n+iJk1Fgo911b/CvMm1GoWr2h3FidW3dmwfQFEUftffkl2O1qaaoXXzzG7NlP43QuDVs9wZnv5NCg\nI/rfPwJcrTZa/NV1EmvW/BuLpYCZM/2Tir1eL5OmTmLb1k/o2KGT3zk1d5pxfchZ6qxqZljqxnNR\npbA1o5GrMdegunfvzieffMLgwYP1bePHj+ezzz7jX//6F/fdd1+9WpvN6G2uPbGyBqUl4ppZUMYQ\n8RF/HsG27yvXk+pYZ2/fkX3cds9YRg08wJ49UFAAe/aoYeaZmSsZNWocFRUVzJ79DBMnPhFUWUNR\nFMrLy4OaLq5f/yotWxazfv2rjBlzR0ihCKxmrr0PxsaN4bZpZZlC7acRiZAZf9eEU6vRWJ3gBS3K\nR1It3YoaedkSyAdHiho9YY+3M/ra0SHdWPIR9ZrC5U8BnD17FUePKnz55Vf8+tflSBIMG6bwwQdv\nMXduedg0gIKC0HkLQ4bI7N6dy3XX/eAnipplNmbwUDynV/OrEC03QgU6RLvsVFOisbwGHTp0YNu2\nbaSkpHDJJZeQkpJCQkICN9xwA5988km9RzgLgWpg6iJ0fom4RgIq7qRfnE724WzySiL346dfnM6+\n9fv83VCAK9VFdt4Ruh27ikOH9vP000X87W8pdOvWk/PnP2XQoKFs2bKOnJxFfPHFYMaOvTPo3IFf\nrszMVSQmZlFQAK1bm7eNCEU0LR8z4dJ+mm3TxMj4u9vt9tvP7BolSWLOU3P03yVJ4uGZD5ObXfXG\nHXAeUO+98Rt5PXpqgF22c/JjY9IQpkVRjdcQSbfhDRtWcPTovWhdwQcOhK1b1aCGcGkAoQId1OdW\nW81r90hzLSqKTHb2P9m1qy1PPFHz6vWayDuPO/2iGJ2Ks9qQfUHtSExM5K233uLZZ5+lT58+DBgw\ngCFDhtCrVy9OnQr9GYgWQqAakIaaBWnWVO+Rvflp/U9Bj7dLaGd6TM6fzQXw8tyuDB8+gc6d/xdJ\ngjFjZNq3/xO33PJLbDYbmzb9g/Hji3nnnflhrSFQLZp58x7jsssqmDgRFi4MbhsRSH1Zr3URu/Jy\ndRA3ujciFTpFUZj3zDy/beP+Mk7NDQqkMsil75G+lJaW+l1zuPsiyzI+n69ad+aaNe9x/fVq3yh1\nHxg2TK1GP2CAeTJ1ZuYqkpPNAx3y8x384x/t9Vbzn2XBySJwub5i7Yv3c9llZZzIL+alRTC0T82C\nX0K5S/X8KIOF6ucmNAiaU3GSfnM6bsntl/irHfPS0y9FdC3Nhffee4+MjAwKCgrYvHkzmzZt4u23\n36aoqIi3334buz1Ukc/oIATqAkRzBbb7WTvOHz5flYkfb6db527IssyUv03hrdlvRXQ+n8/Hhx++\nxB//WBX6vWjR3/nlL3/vFzzRo8cBMjNXhs1Zmj37aeLj8+jXL3TbCCNNKSCiLoIXKkRXC73uenFX\nEhISggTPDK0fmcfjCdo38Bo7dvwZJ04M4oMPIDf3MCkphaSkKNjt6nvTo8e3ZGSsYORI9b2ZN28G\nilKOuywVTFyUnTv3Ik5KITXVSeauFH6Qi/C0kgEFUso4ex5oDd+egkf+GMXyQdsgqygryKrU1rU0\nQXPh0pPX/RJ/IaZqABoJ7N/VkPTq1Yv27dvTpUsX+vfvz//93/8B8NFHH+Hz+er92oRARUCsrEFl\nH8sGk3qM2cey/f4OqslnkomvrVNEwrlzZ+l78wm/xfbevQ+RkbHCr7pEv36lvPPOy3rOkqIovPji\nM0ye/FdefnkmU6ZMY9eu92nbFrQ11wEDICMjnosvDi6R05yoTZ+oUAODJEkkJCT4RX6Fcmc+9tgL\nKIrCpk2r2bv3z7RunU5ychtA4YMP1DWrc+e2c+ONo9m0aQ2HD7/Nbbe9zE2FLnIP5wZdQ6eLOiGd\nP8zkyT7uesKHZ6x5onFRpQGmuhFXmXb5jZhtwBlwtXSx/aRhjaqGo5vzuLNRxSAW6dKlC5988gn9\n+vWjbdu2gOrW7tixIytXruTOO4Nd+tFECFQTwl1hXr8t1PaaYFxXCaS0tIhjx65m27bjdOzYiRMn\njtG+fUe+/fYdfv7zfX7CZbSiMjJW8O23bzJ3bhk5OUuZM8fLz352jm7d8Dtm7FiZTp2GmD53c6E2\nayehRK1zm85B28JZd4qisGHDQp5/3svSpQ5eeGFD0H6KovDxx28yYUIxS5e+ycIFH/tN3FTX7Qx6\n9OjLyZMrkCRCugEBUlJg/vxutG/fmrNnP+Paa4fr11ddsErQZNELmBntNUx0DqzOAbHRIr4xBfPO\nO+/kv//9L++88w6PPPIIkiTx9ddfc8MNN3D33XfXe/UdIVANSF0tMbtix7U12K1iV2rnBw5sTd/l\noi6QE+xuSu+fzvDrhrNs2f1cdFE/Tp/exw03/JkjR/ayefPnHDxYTl5eCunpVwEKJSXbGTVqnF75\nfPr0xUydWsLMmYu44govBw/CwYNq3kxFBVx2WceYarERCbFgVYcaILXAjUiJpKtx4D6bNq1h1Kjb\n9cFz48bVZGcvYs+etjz+uGpRp6aGvj/lFQ62O/Pw/PQT8C2vb/lAf6xdfDt2rdkVci2vJve9uk7Y\nRhSUoOjMptgiPtr86lf+xZqvu+46PvjgA3r37l3v4tnsBSqWzXljfydAX0sK7PqpNRSsKYWFhXpr\n+qSkpJBrUoqiMGHCjdx/fxHTp7/NtGklLF78OnfeOYXU1EVcfTXMn1/GzTdPYMwY1eTfsOEjfW1q\n9OgSli1T25APMRhKu3ZBTg6cPOnh0Udn1eo1COpGuGTewJJIgfuMGHEr8+bNYMqUaXo5pdmzi/Vz\nh/tqdencS01eNitwvJ6weT/d2nXDklM1iQoXsl+jGb5CUHRmqDBqWZZxu90xmXvXEPzylw1TwLnZ\nC1QkNNZsOSisXFt/ikKNNiCoansojIEQo0eXsGePugb1j39M4/HHq0rcvPnmVD1Awrg2NXgwrF4N\nJ0/Cpk0WkpJS8Hg8yLKb8nJo0+b7JlvKqKGJtsupLm065sx5hpycJcye7aF7d9XVe911EvdNceBJ\nUsgvLoargi2Y1NJU0tqmqe02akHg6xwzYYxfPcNAAl2hu37chWeFR+2lYajWlUSS3u9NSy4P9f2Q\nJAmbzVavuXdr164lPz+/MlF+FampqaSmptK5c2d9PehCRwhUjBLU30kjgndMK4mkKAo5pTmUrlOF\nQoviUxSFzm06RyROgW02Bg9Wu6pOmFDKli25/z97bx4fRZnt/78rSSfpkIUdVwSygEIIiiyCjIKy\nKszoOIve+c3VudevyOqGuAERFRHQcUNnxivLzOjoiLJDwiIqmyyKIaxJJ2EfskHSnaSTdHfV748n\nVV3dXd3pQBKC9IcXr3S6tqcr1c95zjmf8zl8+imcPy9UCObNyyMjQxTueCuf31eXIwgLi+aGG96v\nW5GrLcwvbUvtywmNEXJSm0E+/XR6UM0Q/e2Tnf05s2bZmD79Q+bPF57GoEEy7612UTiiQpAXdIsp\n07kw+qUOpNvAbrw3+z2W372cpkS8Pd7QcPsr+E3KFYy/J2c/SX5pPoBnzypd5ELtgqC/l8E8uw2p\nvSspKeHAgQOUlpayaNEibDYbNpuNKVOm8Mc//jH4G3EZI2SgWigC9XeKq4ojzZKmfSH0nXBlWeat\nGW9RW1uLy+XSRB31nYAdDkfQeQqjNhv9+gk1idtvh6++gvvvF3U0t98usXz53+nWLYmSklvYujUf\nh0OEfBQFampa0aNHN7KyPqFPH/eKHDxVsEPw7ylZjll8+yg1EGozyA0bbvEo5vU32RoV/GZkrKBb\nt/H8619w330uj+dDI0d4qZhc/53C5LGPkp39Y6NGJBrKgKyvZ1ReSR47UnaIN/X32iByob+XwUQA\nGhLme+yxx1AUhTFjxrBq1ap69/eH8+fP86c//YmNGzfSoUMH5syZw4MPPnjB52tOhAxUM6KxQoW9\nknqR+ddMzQNS5YT0GnjR0dGYTCbDL0JDxpGVtcPQ2FRXxxARYSM+vpJBg8S5Bg2SsVjOMX36fI/8\nhXe7jfnznyM/v4KCArH9+++PcN11Zaxe/ckVaaCMjJG//Ex8brzf8yxYMIunn04PeK36ejcFM9m6\nXC5mzBjP++9X8emn4HDAN99AXJyE2dwde/UZjGqkYmMVliyZTUJCMRs29NfqtLyhNnOE4EKXDQ1t\nBtpfLcA2QlQ5JO7uQZs27UjqkBTwXrYkTJgwgejoaIqLi/nxxx+555576NOnDzfeeOOlHlq9CBmo\nINASGFve0AuzOhwOIiIiPDTwGgve/Z1ATFDLl3/Kd99NJDHRkzLur1hXbc0A8Mwzr2tjzMhYzqlT\njzB4sMyhQ6VXZB2KYdhOr2q0FUGlRkzeRjh3roQjDmFcfvGLEX6v5Y+xZzTZAoYe1cSJD5KSUsW0\nafDAAzB4sCC8gMKhQ7F065rKf/zkhCoqCpg+HZYseQdTpYy0WqSCqmpAqYs4y7IcsNdTUyLQ97x7\nZ7i5TSzvvrsOSZLIyFhRL/vxUqOqqoqvvvqKQ4cOYTabGTx4MOPGjeMf//gHc+bMudTDqxc/wxay\nDcflNCHG2+Pp1q4bNpuN6upqIiIiSEhIIC4ujqioqGb5LIqikJHxIVDLwYOweDHMnRvLl18O4fjx\nW/jpJ9/JKTNzJdu3/4WDB//Chg2rtPN88slsnnhCZs8e6NnzoLbtioWat1E7IW8BShBLyaEgtzWm\nTZ87d5rx422sWfOO30lWNUK33OJm461e/Tbz5880nGwzMlawfv37ZGau1M4hyzIFBZt48kkwmeC2\n28T7/fqh/Q3Pny81vP6xYyZGjxYLmRtvzObBoQprF8CaBdA7EVHLdB/wG8PDLzn098boXga695cK\nOTk5REREkJjorvBPS0vj4MGDl3BUwSPkQV1m6JnYkwUvLiA2NlZTNPemo6vwVjlvLGRmriAt7Qi3\n3up+b+9emeTkCYYyR6Kz6ju0aVPNxIli9TxixDgyM1fQv3+BltdSFDtr1rTcUEmzwIm73YYeyxHG\nqhz4HOhYJ4OUnMq5cyXEt7FoE+jXX681/DsYsfEiI/ezbt1P7N7dmenT3ZPtkiVvU1h4ns6dHVoD\nQkmSmDfvJcaOdWrEl717hSSSJEGfPmGsXm0myiQxOHewz/XzHLu0MoMBA2rYsCGWL764FUmSKC7O\nxigs2JJQXBxPQUEqVutOj3YlYMx+bAmoqKjwaSyakJCAzWa7RCNqGEIGqhnRkFBhUock5FzZo51D\nWFgYKdekEBYW5jGBB6tyrmLSjEkcPXvUpwlaIIOmyhaBgstlp7i4NydOmDy2e7d/V7Fhg1Av79nT\nvXrOzFzJJ5/MZupU8fn69RPswP79D7a4L3mLgL4zcp2WXGpuKus+WMeUKXfx3/8tWHR9+1bx8ccL\nOXRoP9OmzfZ4TrzZeIqisG/fD9xwg4ODBwtQFPH3UQ0XOJk4EWbMyCcjYwUjR/6SbdsWk54ujh84\nEF54AbZuvZrq6kLM5qtwOIp5fvLbHDiwTwsNKorCAw8MZfIfnB4T+ogRDjb9EEl1lIMKJ54kBK9a\nv4bQ6y+Wip/YPhEp13eBlNQ/ibl1x8+f/1y97MeWgNjYWKxWrw4FVqtHs9KWjJCBCgKNmYN65rVn\nOFHuzR0XxuH9V97X8kpzps3xYeCpntKvnvgV4eHh2uTjT6PPHyzFFmPlbD8GTVEUHnvst1RUbKS8\nHCZM+JjBg2fSunVrn/3eeOMlnn32FQ+SxOrV71JVVcvvfy/2GzCghjfeSOeOO054TFh9+oSxY0dn\nbLaW9SVvyTDyimJiDnDo0CE2bLjV4z56s/HUVhv9+wuiw8svX01qajfNcP32twqSBKNHwyuvPE5W\n1i5GjhRF17//vbjWuHHwj38Us3ChTHp6Oa+95mD+/HTi44s1skVm5gqion5k61bIyRET+ZkzEBZm\nIrf6KCeG/ceXmejFmGsIvf5CqPiqUVOVJNTn159RC6aVSUtASkoKTqeTvLw8LcyXlZVFz549L/HI\ngkPIQDUz8kvzDY2DK8dFeXm5DwNPH77LOqrr16RbYcYf9c/sagysX/8V+flrmT1bZuFCWLnyzwwa\nNMxnP1V7LzOzr+ZJZWQsx2zOplcvTzJFVNQxsrNTOH26nXa8okBqatpl8+VvLOhpz0E1MtTByCvK\nzd3PzJkVAZlliqKwePHL3Hmnwt698OST8OKL53jttcNkZq706BE1aBCsXVtFRsbnRESY6NTJwbRp\n0K4duFwQG+vUirj37AEoYPx4RVOb+OST2Tz1lPCQ//hH+PxzuPtuyM+v5dSpBOr68XpAVXFXqd8X\nBB25BMS99dc3yp9Ry16XDTMvTCuxMXCxpKGYmBjuv/9+Zs6cyUcffcS+fftYtWoVO3bsaMRRNh1C\nBqqFQJIkWrdu7fMweoTv9F5SI6lJ1AdFUfjb32YydqwIxdXUQNu2WXz99Vp+/es/eOy3cuXbPPaY\nzUPRPCtrJzk5bfn++3N8801UnTcKJlMrkpKGacZIX4NzpUE/+dWnigCek7e3Mc/IWEHXruMD5kQU\nRWHChAcBYdX69VNFe2uYP38Gx4/n+PSIGjsW/v73Sq6/vg1PPlnEjBlgNidjtf6HN94QzMKBA2H2\nbBg9WvFQmxgw4DiSBAVlMHYyRJtB2QNR0bWUVuRAf9/PmJqcyvoP1zf0VrpRp3CuF5G1YhX3tgHM\nQGuNleU7lmN53HJJGiLKsnzRgqwLFy7kT3/6Ex07dqR9+/b85S9/uSwo5hAyUM0GRVFwOp1+Q4Xe\neaWmwoQXJ7A/Zz8EuTBdv/4rIF9jaUVFQW6ug6qqhdx//3950MWN+kI999x8evbsx7Jlk/jNbz7w\nG7praMHjzxV6b2p39m4cbepqhXTfVLPJbDh5B6OrB+JenziRwYgRwnuaMEG8P3gwpKf/nTvueIjT\np29j7twsYmIqsNkgLg4kqZq77nKH/TIzyxk3zl2kCxAdjeZ53XJLFS+/vIj0dOHGOGKg6rdQpR/0\nluDFXBsEJyJvd7FoDdahDTdsjQWn0xmU4ksgtGnThuXLm1a1o6kQMlBBQJ9PaagRcTqdWl4pELKO\nZjHhRTFT6Bl5mtyRGtJTwxYqDRmwV9nptLYTKT08RWP1ChMqcotyfdq6e49BJUqo3tPQocKo7tkj\nJI3eeAPMZrcR8pZD0veFEgy+9wIWM+prcF5/fRrDh4/1WDW2NOpuU0K/Qk++K9ndUE9HIrAWWQ3b\nvUfXmBg9MDCzTL3XN94os2ZNFOPGOZAkWdt/5MhKUlIGoSi30bXrY+zaJYgQCxdC587Qv78oZB00\nCDZuLGLr1mQ+/fQMnTqFYbU6GTPGrl1/714R9tOPp6kxeeZkIU/UtI1emw0ul8uHzHQl4cr95E0I\nl8ulGSVFUbQC2kCuutVs1QxTQIFYAxqyAwcpeSls/GhjcAOMwDdEWAbW9lYP45iRsZzo6OMcPAhb\ntsCQIdQJgsKKFTFcd912re+TtxyS6kXJskzv3sG3crjjjrMsWDCDZ599re5cVyjdHEhKSaIwudDn\nfdM6k2G+pPPXV9M9/2by8tyJfm9mmXqv+/aFoiIXBw6kcOaMZx6wulrkSHfubM2ddwqDExcHN9/s\nmUccPlx4UUlJEr/97Qfs37+TM2eyWLZM7HP4cD5RURVs3Chz0019OHFip694bATErxN0eY/P7pV7\nqk+eSIWl2II1zirCe43hQV1iOByOi/agLmeEDFQjQZZlzSipGngxMTEeGniKopDYPpFD6w75ejEX\n+ZfIOprF8EeHB1f7NMTgvS117+uYfFlZO7juOtH69tSpLG67TdRODB4MR48mMn36fG2/kpJbOH7c\nbUwURaGiYhvHj+/x8Ky8PSTvsNSgQZCevohnnnmlyZuhtXT4092zVxvrKF5/fTfmzl2P3W7HZDL5\nrLy97/WUKU6WLo1lzpx1Hs/om2+m89RTs/jNb5ZpdUuRkZCZCVu3QkwMxMeDYC8XceutsGbNO7z7\n7maf8/Tq1YdlyybRuvUttGmzg/Pegx4i6PL15ZsalPsZQoNztEkdkshel421pu57qRq3SzxDyrIc\n8qCudFwojVwvNxSMBh7A/Bfmc2L6iQbVLQHukF6Z8War2SrOGegcDcT06fOZN28Gqak306XLox6r\n5969j+jyTL5ySCDyV3Fxiz2O8/aQjGjSo0ZVeuxzpcKowyuAw2WsYWc55ln74y3+GmxrjSNH/o/5\n853cdVe5tu+DD8J338GaNTB9ujhWUWDGDMjLc59nxIhxvPlmOj179uHw4Y/IyurE1Kk2Zs36HLsr\njmYtxjWIFMTb40kalGRYK2U2mak6X4XzGqdxsbQODVUxv1A0Rg7qckbIQAUJvRHTd6FtKg08H6iF\nms3E3gM3bbyg4HZiY90ekujE66SqyrgwV0VW1g6Ki2+hoEDcN4sli06dKigo+Jxp015FkiSNJr1x\no9imTnzqPlc8tgJn6l6rDqUCfAHIwDVoHrG3QfMmnoh73Yc1a/bQubODs2dbUV3dml/8YoePHt/r\nr39OdHQbvv22CkmCmhoH5eV2fvlLzzDf2LGwfTv87neCkLFixb+orNzI7t3Xc8cdFTidFXX1UhVk\n7OpP1xyRi83LzdMacFpMlgaJwwaFCDwo5qrqhnp+w5YbyRC3Ng5bhM2vYfN3b5sKLpcrZKBCCAy1\nV0tVVZUWE1ZDeA0JQzVHPsWb6OCN5I7J5GzKobisGLmdLh/g9SR40sZLmT//W238sixTXl5OmzZt\nAo7luecWaF5mZuZKunYdT9++sHdvhbZqnzZtrta6oW9f97HqPoGET3+uUFf39jI71AAdMV7Rb8Fj\nEtbDSPx12rS5zJ37AnffvYPBg+HTTx2UlpaSlibieHoPa8SICrp0+atmuCZPvovExL188w38+COU\nl4uwn9kMxcWCENGjx36WL6/ljTfgjTfy+eYb4W2BCO8eOFDBggUilPerJ36lGQgrVjcZpLGYct5h\n7HXih6VYGEN/4dNKeyXE1P2iqzVMzU3VDGdzqphf6R7UlR3kDwCVFl5VVUV5eTkgqODx8fHEx8cT\nHR19wTmS5I7JDMkb4vM/uWOyx7b4dfFuwVDVgERA3Lo4z2267XqyhRE+eO0DkrskIyuyCBeq/0sg\n7MswCo+LicKINq7el3nzZjQoJFqfsOb+/TtZtaoNX3wxiGXLBrNs2WAKCm5m/34DtYsrAGrRKkmv\nygAAIABJREFUqONqR/2J/mKETt8KMCtu6trGjat9xF9lWWbbtsUMGiS81HPnapk0qZrVq99BlmW/\nf6PMzJXcdFM2Dz4oiBHnz8NLL0FlJRQVwZw5omPysmUuxo1TQ7lwzTX4hBM3b17TJPdMRVKHJAbn\nDtb+q98Ta5yV7cnbtf/+wqdyO1ksBobiY/wXLJil3Q/ve9tUCLH4QvCAPwaezWa7KKOkx8JXFwa1\n4hr+6HDfXNUQSM1JRZIkYzmXYNEen1W5jEynvE4BaeMi7Pc3Nm/uwW9+8//5nFY1YHq5ow0bAuc+\neve+jZycfzJ06OM+4ZKqqireeutlH125nyNUz0nr4qrmGwMZqQ5ood+k60QISlEU1q17j4cf9qyH\n+vHH7zXa9+7dbpHXG2/MZv78GX7+RivriBXuPkl33SW2d+8O3bqJ1/feC1995WJwnUbswIGwdq1Q\nuv92P9jCTURFRRAR8TzXr/qIA5YDcBZjws5FINjuucFALYgGQeE/cuT/yMy8Oahas8ZCKMQXArIs\nU11dHZCB19g9oXqP6M3Z6rM+718VfRX7N+wH3K3bvdGlfRfCwsIE66iR2YBg3EW3Z88DZGQsZ+XK\ntxk/3saiRR/ywAN/8PlSGskdBWorPmLEuIDhks2b15CT87GPrtzPEZrcTj1dXANBURSeeuoRj47F\nqrH59NMcUlPhyBE4dgxN9HXAgBqefvpjBg7sw/r1P3LttdWcOhWF09mGzp3/wU03ZWm5QbWwV1GE\nJzVwoPsaRvkpSYKfyuD4LQ7AAVg5yVlIafhna26oahaKotQJ8tqYNy+du+8+G5Bo0phwOp0hD+pK\nR2VlJYqi1MvAawyohu5s9Vnjlu7r3C/95ZFsNhtRUVHkT8xvEBtQ1fXbn7Nf5Db8wB9tPDv77/Tu\nfcCHxaffRy93NHz4OGpra5k4cZaHAKf+9fr1X9Gr16E6I3iIzMwVjBzp7qq7fv2HjB8fWFcuhLok\nfockMjNXUlW1ie3bu3L8eAdt+7lzJdxwQx6PPAK7dsG5c+5jJQnuv7+KI0cSGDaslkGDYOnSGqzW\nUoqLC9m0yUF2dnfsdrj11qM+HhhAQQGcPQtffw1qd4e4OJGjau4/mZ6hp3mj4JFTMitmzBvN2B12\nKuwV7j5bBjOiPqQXHX2CH35IoqDAs3asqVTMQyG+EIiNjb0i1Ao0Xb9EAq5ejWjjiqLw+ON3aDmK\nW2+t8tDcA0/P66abDrB8+aeMGnWfZvTVe6ySTkRu6n0eecR9zkWL3mHw4LuRJIlNm9aQlnZYM15r\n1y7jrrvu9WvsAr2+bBEBHAP+BaiRHvXjqCw+xGr/3ZffZcqUu5gyxcGSJXEe9U2iPUR7li2DXbsO\ncvXVZTz9tBB8veYaOHUKrNZM/ud/ZGRZeFgzZ1bzwguHeO01mDu3jIED7+fMGXGOffsOYjaXsXkz\nOJ1QWxuOyaRgs4VjtUJcnIvy8nBiY9tTXFKJEb1cH0JTcVHisHXwEH71440mpYjrbE/errUv8cb5\n86XIssxHHz3L88/7rx1rSlzpJImQgaJltnQPBHW8hccLDZXMC6N91QcuFoHUIkaNug+n08ny5W9q\neY9bb61i6dK/cf/9/4XTaUw1y8hYzo037vc4Z1raEXbs+JoRI8axadPfPM63ZMkHmnelN3ZqzyzV\n6Hm/FudumEFrMYZuCJhOmsAEhIFLcXmu9us8gvPnS72S94c9wk56UV4RrtpLerpQFR8wAP7xD+ja\nVUaS4NNPxfsit+Rk714YMqSQHj0GMmrUGx7nUEN/S5fe7FGoq8fox0dzxkAA96IFYeuDl5p52Lkw\nYtfFYlbMJA1OctdBedVLRZwL46auMvaSEubNe5E77mi+kJ43Qh5UCEGhJRqxTjd0Iicxx+f9tLy0\n+g/WfSnj7fGkdU8j50gOOVE5DH90uMeuyR2T6RwXo4X9FAWcTgfh4RFYrd8xaNBddZPjYY8v8o03\n7iczcwV33XWv4RBWr/6U//zHxYEDPWjTRoRM1HCJoiiaRJJ6vtTUw3z99boGTQx6g6X+9Pe6IYZO\nhXf/oKYwdObWZsNwcMxqSN4n7pm9pIQ1a971WiAYC8W6qeTu8FtEBGzeDEePip5NDz0k3h80SLTJ\nePxxmDv3WbKz99Gr182XRTdZb1kwGRkrVo0yrukZehE1On+n8M6TsGdPJf/850f06QNbt8aSlCS+\nV83ZmDDkQYVwWUDfF8rlcoki19xsUcR5IUwo9RhdCssu2bHeratJUZEHH7zm1vlzOBxYrVbef/91\nJk2aQVRUFBZLFqWlwoDl5u6jU6cKzp41YbdvNzRQiqIQFlbKCy/IhiETtWNpIF25YNBY3o+3oVNZ\nniaT6YINnbfx6tq2K0qO7yLIYrIY9ohKvg7efkK8/vRTK4mJ2YYsvOzsfVobE29ZqQ8+EOrjDz4o\nZIwWL4ZHH/UkO/Trh+ZFbdnyIQUFd3DiRBvy8/tonyHQ30avo6feA0mSGiWc1xSIjRVjlGU7v/mN\n0J7cu1emS5fxzW6AQx5UCM0aulE9sauir/IgRKi4Kvoqw+O0/JE+bGFGiGKqdVB+DJVq3L7f9b1Q\nRtejTiR2a+JW3206KIpCTU0NNTU1yLLM5s1ryctbys6dgxk16j6ef17krdav/4ouXf63riBXJilp\nsM95VCkc71oSo+6v/nTlmhvehi4sLAxFURo8Ln/e29T0qeSX5vvsm9g+EUVRKKLI51zHj8Obb4p2\n65WVMZw9G83x4105fHg/N97YG4CsrH9QW7uTjIw0FAV69jzo0RE3LU2olbdqBRUVgtRw5IjwpBRF\n5KKio8Fuh7ZtIT6+hpISC1ddZTUsCzCCnvpdU1ODJElERkY26L55I1Bb9/qQnSsaF2oECq/vjjdj\nEZqeTu4PIQ8qhEsClUreYBiomQPuGPpWyLJleYTpso5miRBRdj3HqvCK3f9k/4lhfxpGUockFr66\nkIiICDZs+Avjxwu23k8/7WX6dCFL5Fs/9TbDht0DoImHHjnyf+ze3YFnn22eWpKWBH8eXX5pPjtS\nfLuchuWG+a2969wZrGVWZs2SWbo0iT//OZMFC2YQF7eThISbeeqpdJ5+ejSPPVbBCy9MZ+jQseze\n3ZpWrexMny5EXyMiQJaFAaqpEaG9wbo1xbZtsG5dNDExoh9Ux45w4oTomLtkyTvcffe92via828X\nqK276rH5605sNVs96Pzx6wRZ4+TJfByOCmqlGObMCePOO//jwUA8f/4nMjNXMmrUr3zO2VQIicWG\nEBQaMwc1acYkw9VfUErk9cEJ1jFWtupjd6pnlBD8OfSGzIaNnewkIk/oDq5f/xVpaUeQJOjRI4uN\nG/fTp8+tKIpiSKTYsGEViqJ4iIfOmye6sCoKfPaZWNm3uBxGM8KSY4GDCJ09HXbbd9O2Q1tDWR6A\nuDjRZj019RCbNq1h+/alpKdDevpSbr65P2lph9mzBzp2LESSIrHby3npJXjuOYmUFIUffwwjLq49\nJlMRlZWircrevVBYKJpTXnVVCnfeeSenTv3AI4/8wJ49kJjo7pi7du0ybQECxqFL/e9qeNrpdDYZ\nEUX12ILpTgyeZI3Kykqio6MZN647OTmQmyue0ZycKDp1crJ69SfNaqBCHlQIzY7coly2JW3z3XAR\nSuTx9njS8tLIsmcZrhobC94qE/3717BnDyxf/hZduvTX8lAqZFmhvHwHJ0/uoW/fClwuIT56++0S\n776bUndOC0VFnbHZfHMYakgwLCyMZ555+WfrYdklOxjMe44tDqiCwblut0YV3Y2ugehYyMiAl16q\nYuLEx7X8UlxcpUaPnj8fnn0WJk36gC5dxDnGjVPYtAlSU2V27ChiyBAIDxf7zZ4tqOcJCXDmjJM+\nfQbTrt0/AdG0Ug17CSLGXxk79rdAYCLKk7OfJK8kz2eR161dNxa8uKDBjMtAi0W1sag+95WdW9dK\nozX1znobNqzkl7+s0LQhFQXmzatl6lSFpUtLtfM3B0I5qBCaFT4Pti6clmV3h+Ya6k2ldU9j40cb\nhTwSBsW7wUBl9vlp6QHGdPP+/SEvL4ubb36KUaPe9NhfURRWr/43CQlL2LULJkwQBIJBg2RycmIB\niYcfdrF0aRzPPPO6z/U2b17Lzp1/pXVriQ0b+l6RHlZSSpK2ws/IWMGJE+O55RZBcJgwQXQ4njED\nEhKqGDAA3noLTCY4f76I3btFkh/chbN79giCxL59oqdTu3bwww/wwANiv8hI0Tn5xRehY8fjrFnz\nKXFxN7NtWwn9+uWi78Crzx8GmrQDhTBbtWoFGDMup6ZPNYw2WI5ZhBqFF1wuF5WVlQDMnT63bpwS\n9z15HzvP7DQMcau6m6rhy87+nnPn3Monp0+XMGRILpKkNDtbMeRBhXBpoQunWdGF5ry8KVX2qCk8\npDh7HGmWNKRrxAQT6BqqyoTF4qSg4ACdOolQXXR0LStWeBbugvjyr1nzHjfdZKdfP092WFRUNomJ\nkl+ihKIorF+/kDZtapg4EZYsuTLyVIGgykatXHmQESPK+OwzuOoqsNmE1NCePeLe3nYbrFwJX3wB\nCxYI5Yc2bYThUZl7/fuDxSIM15Ejwmjt2ePW2rvnnjD27k2iS5dEpk2by/z5z3H6dHutYy40LuVa\n/btOmTXFQwlCk/PSkRniLb71fwDh4eGGBi/QMyPaxzi0/SdOnOVx7PTpY7ntNmGU+/atYtGit/nF\nL0Z45N7qKym40Gc25EGFEBQudR2U6k1NeHECR3KOIEmSR/I8uaNIUuQcyfFl45WD6VMTbRPaUrWu\nSstzxETGkNItheQhnt5aIC9MVZn497//TlLSE14tMg74yB9lZCynd+9D5OaKRPyhQ2CzSURFpXD2\n7GkefFAYOCOiRGbmSszmA6SmukVNJ016iPff//RnZaQmz5zst0uuCjXUqXqZkycPY9euH4iMFLJF\nvXrB+vWC6PDGG8II9egBXbqIe7d9u/CkVObevHnQsaNg6B06JMRewTOEN2iQTG6u27NVmZVNBb1Y\nrlb35UcJwqyYfVQoQBAkjIyCJEl+GxhWxwohaEmSqKysxGw2ayzNzMwV9OlzxGNh1bv3YbZsWc/d\nd9+rhTBlWfYb4tSPIdh6ObvdzuHDhykpKcFut1NZWUlMTMzP6rkPBiEDdZnhg9c+oLKykrCwMMxm\ns+8OURiHMb5S6JbUjbCwMC1JfdO1NxmGEf2J1KpGEODQod3YbL56fZWVnk0Ms7J2Ulx8MxERYqUO\ngtJstcZyzz0nDYs9R4wYx4IFszh27Duqqmrp10/sM2BADWvXrm92JlVTw1JswdHGuEsuwMmTx8jI\nWMHhwx8xaVIu9977AOHh+5AkoQLx9deCNr5kCaSkuGuXtm0TRbdbtkB1NVr79sGDISsLHn5Y7Nu5\ns+iUu3kzjBzp2yKjuUJaGjPvlJ8dyhCNGtujNTuEunBfrQiFqv2ewKD54RB8GKoOh4OTtkPc/z+/\nZPkiz7YZkiSRnb3LUOjYZtvNmDH3B/W5gikSV1+rhu7UqVM8/fTTWK1WSktLmT9/PrW1tbRp04ai\noqIrxlCFDNQlQFKHJKS8+sNp/hDo4UzpmuJbaAs42zjZ2d2zv1KExfjPH0zua+rUV0hISPDw4vS9\notQxPvec+GJ5j3n+/OfIz68wVDhXFIWDB/+Cw+HQVv2gSu/ILFqUXm/O47KDurovAtQSIQdIChSG\nnebpVycx6b8q2LFjHR9/fJzz52XNU7rzThHCKywURgeEgdq9W1DJhw0Dh8PzPqaliRxTSoq47xUV\nEB4ew7ZtEWzbBiZTK66/vluzqSZMnjnZs82I6unoa5Ra120bKsLhGkMvWexfmOz13OvaoqmEiR/P\n/Yj9l27jZseOHTiwfq9hhKQxvMYLCfPdeOONbN26lX//+99UVVUxefJkHA4HNpvtop77O++8k127\ndmkF5tdddx2HDx++4PM1NUIGqpkhSRLvzX4Pk8kEBA6nNRSyLGsqBg3BhBcnsPa7tR6rUgBzpJl7\nBtwTNFnDqNWGP/j74qs6b5MmVfPkkxFs2RLHN99Aba2TuDg78fFCUfrnREm3HLOAWrbmJVyqIITn\ny7+ysXs3PPGEzFNPHeaBB9yeEojw3vDhnkaoTx/Iz/dUGg8LE95U+/bQu7fwvABSU2NQO+g2BVQD\nkVuQi91pR6pTvLUo7g63hur+DWnJ4eUdZdtFQa7qSSmKQvKIazEKprZqVcmGDau4/fa7G/Kxmhx6\nkoTJZKJt27YXdT5Jkvjggw945JFHGmN4TY6QgQoSTZWDCiacppc5ArfUUferurPw1YU4HA5qampw\nOp0XNMbcolwKYwp9QoNWrOTmBdeD27vVhjdZIljoteL+8IdIrr1W5KWefnqUTpzU+bMo7FVzLoXn\nC90TsR8GZds20LqucWHHjk4tXNevn/CiYmNh40YRqouMFF6RLMNNNwkjpCii/9N110FZmYQkpRAR\n4SY8NLWnpIbaRj420sOTV9u9x+cakx68ESaHIeNnEeZVv6d5WXWPcGbmSlrFVBoeGhursGbNOwwa\nNKxFPVNNQZJoaZqigRAyUFzadgzBeCeazJEXlByFsrIywsPDmTZnGvml+aJT6WndTgEkkBoTRi3i\nR426T6fVVn/tiNoaXt+tdPHihUgSl4c4aRBQjdLJU8cos9uE1xBEg8KEBCgrExTyYcN8PaVt20SH\n265dxXvr1omGgf37u/cbMSKMvXuTuf769rRrl9bkpIdGQRmipX1d/VKsObbBIXFV2ijXkkWF03hy\nVp+pr79ex7hxv73oYTcWnE4nUVFRjXrO559/nueee47u3bvz6quvcscddzTq+RsTIQN1mSM+Pp7w\n8HDyS/PdvZ7029fFwzqwxjVf8a6+Rbxb6LX+VZveewK3gvmaNZ+RkCAS1YqicODAcXr2vKHZFKWD\nhcq0e/rpdENjPHnmZJbvWO6mTQdoGukNSRI08cJC+OYb+P57UcOkXsZmE6/tdigvF97WwYOCoSe2\nC+Zkauqwy8Mw6dEe9yLLQL+yPnhIG/lZABQXx1NQkEpp6a4WZaAa24OaN28eN910E5GRkfzrX/9i\n7NixZGVl0bVr10a7RmMiZKCaGQ0NFXqrYOsRHh5ebxFfWvc0kjsmixChLpTodDpJvtqPfk4DUV+v\nqGBh1Bre5ZLp0qUb06fPq7vWCkpKJjJsWHBCpc2JzMyVHDnyf2zYcIs2Nr3RshR75VkakF85dhyi\nz8Lrr8Pzz4tcUm2tiY4dzdTUtNJqoeLiunHyZB7R0VUUF7vJDq1acfl4TTrER8WTelWqFqYriiry\noZerLD67ZK/fu4qA8C8gLhIUGcBEQkJ7hvYfwdzZ71FRUdEkn+NC0RADNXToUL799lvDxdHgwYP5\n7rvv6KcmLYE//vGP/Otf/2LdunVMnDix0cbcmAgZqCDR3HVQj7/wODmFOciyLMJ2J+s2XEDIziiM\neP78eRISghXnCwx/LeK9Kef1wWjyrK6u1oywGgIcP97W4nJQ/saWmbmSf6x5j79kLKUapyeF2leg\nXPx960JaUWXQ/QY4cwYiamBsHTFi7FiRa5o+/WNDun1VVRVRUVGXjwLBVrCX2YW3r4PZZGbUoFGe\nVPEACEp7bwjc8J3ExzMU9u5tWmJIY6AhYrFbtjSEUSJwqes760PIQLUgqJIrNTU1HPnPEXcyubtu\np4Y/g4Z45rVnOF52HEmSyCnIwVRmwvWli/CacMytRX2VOdJM8gBjsobKLpIkScgyLdjUOAMLAM+O\nsS0rB6UfW0pKFhs2rGTEiF+ydu27FFc7qehwzvegWoMTDQHpc0hNAKtN9HtaulQw8VRixKBBghDx\n8cezLju6fWL7RKQcyWPM2bZsrA9ZceBZC6Y2FgwWeu090KlQeM1yar+ny0FF3+l0+lWzbyjKy8vZ\ntWsXd9xxBxEREXz22Wds3bqVd955p1HO3xQIGagWAJfLRW1trdYrJ9DqN94uWgMoiuIRosspyPHJ\nP2nvGyC/NN9tAHXHddjUgZSubpGz3KJchj86XAsTGpE1LlTktr6cjfe+3gSKljK5eI/tttscvPPO\ny8iyQq9eB/nkB4zbnHyBpn0Y7oS2MWYqKqrpGKXwX4PB4Qjj3XeTOXHiLPfdV+4RQr3rLti06ViL\nMtJ6+OvX1LVtV1a/t1orswADz6eOLq7SxFUUnSiiY+eOPudUaeTexmz046MNW3JcTmSbxsxBORwO\nXnrpJY4ePUp4eDg9evRg5cqVJCc3Tqi/KRAyUJcIqv6XSg+PjIwkNjZWexj9Tbpp3dNY9a5oXxET\nE+PeUIOnd1UOKHDOfs6jN1R9IrT2WnujGqFAMMrZBNr3UjH5vA2poij8+c+zmTr1Jb9j69evgNde\nm8Lvf2/Hr/2MAIZC+DLoczWYKjqgxJ/g9dfVNutCaqhnzxv44YcNWHTzfVkZVFcnsH9/yyKKqPDX\nr0k+GkSdXh1d3KMYFzBlmci9y6DswU8lhLdHdfJkPg5nJQ7JzLJlorFhc7ZvvxA0plhs+/bt2b17\nd6Ocq7kQMlBBojFjtdXV1VRWVhIeHk5UVBSxsbEN8gIkSfIpyE3pkUJhoq6Svq7g04HDsxC4CQzN\nhaCh+SQjAkVzTC6KojBx4kPU1HzLpEk5vP/+p2RmriQ3dxGbN/fhnnse0Mb2ww8lnD9/FKdTkDvO\n2Mt543NwuPBcPKh5RAf0/hGskTDveZgy5QT/9V+ebdZ79TpEdvYQrrlmsIeha9UKeve+/EgPFwOH\n7PANcUcAxk2oGxQehJZZH+RyuTy8zSsNIQPVDFAURQvhOZ1OTCaTRg+/kqD3ROrLJ6n7Tpz4HND0\nQqXe41ywYBYAvXr1wWpdz+DBMqtXryczcwVr177H+PEVLF68kDFjfs20aXOZPHMym/OzKK+A8Gih\n1iCHA0YckbpJ1hQO7zwpJIn27IFrr4WBA8W2fv3glVdi6dGjNzfckPizMkRPvPyER3v77Nxsvw0Z\nPdAB31BpI+Vk9bjUIWM9nE5nSM08hMaHoii4XC5qamqora0lIiKC6OhoampqiIyMrNc41acw8cTL\nT3Ds/DHt/ayjWULFvJkKcy8EakgvM/PmevNJ6r6bN6c2uodUX+4rI2MFX331Lt27R/Lttwmkp8t8\n8AHcc4/M++8/y9ixVq1GSzWsKzavoLxtBUTXnSQWKAk8jjBZeIH9+sHUqfC733nmR8aMkenSpeXR\n6RsMnQTRrtJd7JJ2IYfLIizdEUEWWS5UIjpEd6C4uti/WsQVBpfLdcUtZPUIGSgad8Uky7LmLSmK\nQlRUlIeoam2tEXXLF4HyRNXV1eSV5Hk2gFOJDkGuKBPbJxJuCff57DlKjt9aEr3R9Gbx1Qd9SG/e\nvHTuvvus33ySft/FixcyfPjYoM4fLOEiUO5LURQWLUqnTRuZSZOqmTu3GnBr3kVHF+Jyidd9+1bx\n0kvTGD58LPawKs/VvRpVNQpJlUGr1dDzOuE59e8vFCB++EG0GAe1sLZzi86PBA2dBJGH4fHSHZSR\nsa8L3HZEg2r0ytxkipOnjjH05rsbHNpryQj1gwohKATKQXkTHkwmEzExMURERBhOlk0Z6w629fub\nL73J9LnTySvJI+dIjiYUa6+xY1pmwhxjxqyYSekhGH2Fx30V0iH4zr8bNrhDelFRx9mwIYGCgpsB\n0U7iuuu6aJOxPvyXmnqYzZvXMGbMrwOeP1jChVHuC9CMW0bGCsrLC7jvPmE4hw0TRkTVvBs6VAiz\n5uXBf/4DnTqd5c77B+FwOj0v5AR+YzCALUBriLSG0S4slszMVmzfDg5HJRUVrbjmmm4Al21hrQqV\noGDJsVBYafzsGMFqtoINX8NehlCUUOHV6HM7Qiliz+5dFzfwFoZQR90QLhj6EJ5KD2/VqlXAuoWm\njm+rrd8nvDjBUOhV7+1Yii1sS9omQoNesX0HDtLyxLmgTnXdgN2ntg0JBLWr7sMPqzRsFzt2lHHn\nnY+hKLBs2USGDh3v4T2p4b9bb61i8eL3GT36fr/3rj7CRX25L0VR6ozbzSxalE7r1m6PqX9/dwfa\ngjLY/G9wuWDfLoiIEBp5x48dQonBc1L1I/qq4qqrkvn88z313rvLFaoXM/rx0RSeCt5AUQbUfX1M\n502Yo0VNXoVcgTyk/rBfaempoHQfLxc0pFD354gr95NfIPSEB5fL5UMPb2pMeHECR88eJduSDSn+\n9wu2RUZzIDNzJb17H6pTIhfstKlTZaZNm0LPnt08DIs/Pb5AdHL9MUcK93HbgwNo06adtv3cuRKq\nC/NITb2ZNWveITq6iltuESG6JUveBiTGj7fx9tvpHt6Tev0+fUQH2mPn4bzXEM4BUhG+3pK/UGud\nJ1BaaiQjEQJ1iu0MBfM6s1saaivaPY23C8UJowiB2jbjsg+L1iHkQYUQFGRZ1lQeVHp4ZGRks6/U\ncotyA3cdbYHQU8RPny6hX79c9u6V6dy5jLKyLA9vxptOLssKoGCzGedivD0ue6SLQ7cc8dmv94/w\nz3++zJHCfEqdsDEXyivBZv+BsDD44nGIb51PZSWUfukWWS0vF0bqhhvgTCSUXuzNaA0Mgeivo+vd\nNQQddMQfVYvPSNZIbZvREgq4GwOhHFQIfqEoCjU1NdTU1CDLMmFhYS2HHq52YK1DvD1eE4ZtLHy/\n73s6/kJU7tur7SIUqF47CKagmpubNGmW9t4zz4xh4ECZDz+EKVNg5kwXsqx6M+/w7rubtInlzTfT\nmTTpecLCwoiMjPQ4r1HIDtyejzckCfr3P87afyg4f29AsNsC9row57nVZlq1upm9e49wzTXn6NhR\n9FTa+Wd/n7P+e6HCdD6Mq7/uxNBbRgR/0OUOr2cVgCKQaiSULYrvviXA52CVrLACSPDa7qfuCS4P\ndYiGIORBheABvR6ew+EgIiICs9mMy+VCluWLflgareDXy0Do80XBjqM+OMIdOMY4fDdLV+YRAAAg\nAElEQVTUwxSUZVkz7GFhYdoKcOPGVfTufZi9e0VOR1Cp4bPP4KGHxMSyevUX3HXXPWzatIbDhz8i\nM/Mm7r77Xq1JoyRJbNy4iiNHPmL9+jSys7/n3Lk+5OdLSBLkHtkNZb5jPlkOt011onwazN1RsFpb\nc801NqA74eHtmDXrOKcrS+GWap+9JUl0vvVABPAFXJ0QjylCKIoDJA1L+lmxzIKCwWJmcO5gALaf\n3e7RBVd7HQW0w3MbQAlYrBZGDR7FwRW76dzZoYWOjx2TqI3tQEFB8gWxH1ti7iqUgwoB8JxUAaKi\nooiJidEID9XVvhPT5Y6kDklIeRI5VTkavbfCXiFqVBIwFjNFeGs9j/YkPDyc5E5uj83pdFJdXY3D\n4cBkMmm5udraWhRF4eDBPZSU9OHIkf3MmCHaGgwcCKtWmfjii36AhM22j7Fjf8OmTX/j8ccrWLz4\nL4wYMQ6TyYSiKMiyzPr1H9QVyr7H/PlrNaOvKAp/350CEQ6fie1cLTzwVHDeTlxcNRbLeubMUVi6\nNI477niMkpJJHDluBnyfA8VlcJIh0GljJ46uD64j8c8V3nJDsiwjSRJJHZOEVp9XF1wNy/G7zb7O\nzpjbhpLUbim33+5+f/t2ie7dFzBypK/C++WKkAcVAg6Hg/LyckwmE61atfJLD28JyDmS4w616d+v\nyvFpDa/CHxX8vdnv+cioeLD1/HhKad3TWLZgGa1atSI8PJyamhqqq6u1ui+9Yddj2rS5ZGSsIDFx\nvEdI7te/NnkUpGZkrNBIFamph9myZZ1GM8/IWEFa2mEkCXr3PszWrRs9VsqSJPmd2M5tAYqNP5Me\nkgT33qvU9bU6xMcfpzN9uo0tj5u57ehtHl6wJEkUty+mQ04Hn2cmqV9S/RdrArQkT8DbW7Tb7ZhM\nJiIiIpg8c7JQHG9gh1yzyczixX8mOhosFtG4UUAhJ+eTn5WBCuWgQiAiIoLWrVsH/FK3mL4pURiv\nODf5bw2vV6RQjZi+0BaCr2dSoSgK1dXVTE2fSn5pPmFhYR5Gyd/56tPUC0QzB+pVoDCbzIEnvCDm\nbZvN3dri1lur+PrrY+zZA7f3tNOjyy08/fTLOJ1OFEXhvffmMOWtFz28OP1zUllZqY1NDVHqXwf6\nXf/z54j3Zr+H5XFL/T2cvJDUJQlXUS5TpqCF91RZqPbtDST9L2OEpI5CICwsrFkngosxdCldUyjE\nt65E3yIjEBqjZcZPR3/i6Vef5u1Zb3O87Li7bUcQ56uv8DQQzVxRlHoVzZO6JAWsuzE5TDi2OATd\nW8KdPKoFtkBYMdxwjSfN/M47FTIyYOZMSE9fwvTprwGi+NhiWcLWrf0NFSnUn4Feq6K/3sZN/4wE\nY8z0v+vPddkZOFUhok4lwgjnzpVw38iKn6cslBdCHlQIzYoW44n5gV7OKKcqh+Ivi5HbehZI2uJs\n5JfmEx0dHdQE2JDPHIhmDly0onlkjIn+1/XHUmXR1DMAzLFm2sa0pioyhw4RCosXC09KUcQEmJAg\nfo4aVcmCBTOYOnVmXS7MU5FCFZl95pmXPYzGhaA+46b+Lsuyj+dmt7s/W0M9NyNPrrGgH6OiKJw8\ndcxTKFYfnvUTYi4tLSQ/v/mV7S8FQgYqhJ8Ftv+0nXAl/KIFY/VhOZfLxfBHh3tq/tXhwNoDjH58\nNPtz9hs2SrxQeHtYahNHPc3cCCr1PLF9InsO7KHWD8MjOsLOE78abziRzZ//HPv3A1iwWpOwWq1E\nRlZgs1XzyiuCGThwILz++uds3NiH3r0P+yhSbN/+F1q3hg0b+l70ZHmhBq6yshKz2WzoUel/V1+r\nBs5oX3Uc+vF4//7k7CfJK8nz2BfqCBLg0bhQJUnYz1p5fvw0wm2FtF6TgLXGJhZCeq9JR0+POAex\n4RAeDgnhscydu77B9+VyRIgkEUJQaOmej9xWRh5a5+lcQAuCnCM5WmNDddKyHLNwruScUKzQKVID\n2GptbDuwzVg3LQK4puFjuBioWnzJyQ9zbbjM6X+HI5lcRERQ159JQrIrDLzNfyHnM8+8zpQpd/HH\nP7p46aVy1q8/woYNqzhxYjySJAyUJMHw4TY+++w1nnjCnQtbsuQdFEWmTZtqJk6EJUvc12iIkG1j\n4mK9IO9woz9DZym2GIZ5XUcEvfH7Ht/7bIvYD+Pf+H9cd52TyrMu2se3pyjCS11Dt8jquQ8euBU2\nbGjNnXeOu6DPUx9a4vc75EGFcFkhuWMyWeuyhKhmGW5pGN1fUhWM1R9TH+ySQSfdFATdF/zTgbcY\nvN8EPXoCQSVWPPaYjZdfXsTHC5ykp7di1qxKwsJE+GfevK7cffdZ+vatYu9e40JONf+1dy9cddVZ\nFiyYgSS5fMKKp06VMHBgnkcO5MYbs9mxw8ntt7t/37BhFSNGjGPSpIeoqfkuqM7BLQnBGjh/2pN+\nV/5bwRkO52JrOFcOmCuQSipBRrTfMEBRURynT/fk9ttTmTRpFtXV1fV6dt6vg0FLy9mF2m2E0Kww\n6obbEHzw2gfk/G+OEHlVjYPq3XgZBpVJN+HFCZp3lFOQQ/zReBQUYpQYkrsnC28pwuLLftOftx7x\nUz3i7fGNqmhRH/SGZdSoSi1XtHevEHsVKOCWW8QK2Yj9pxq5P/6xig8/hMmTIT19EatWnfaZgOfP\nf46TJ9ty8qREWJg4Pjc3i/LyGk1kdsCAGpYseQeXy0VBwXpmz5YNr3kpPKvGhEoVN2o4mJ2bLRRI\nvLc58WnkqKC4F0MG6NatN6+/vkbsa+DJGYUp1ddQf5hS/V6qfdz02/THNzdCHXVDuPzh5d1YsYo2\n73VkBw/mni5f1OtoL76Y/wVRUVGMmzKOIrxCLPqWEQ3witK6p2mGMbco1yenkdRBqClMnjnZIz/h\nvT0YeBuWCRPE+wMHCurx8eO9OXOmlCFDcpEkdbLyZf/pjZyqcqESIp599jWPa06bNlcrPo6KiiIj\nYwUOx/+SmIiPV/X2289y332y32sG0yKkJcNSbBHevB51CxtrjVUwJdVnJ5jcqIEsUmSZiaShSRfk\nSQQbptQTTdRifaNcXH2eWmOTTUI5qBCCQkvPQV0IJEnS6r+aYoXol9JeV0tsKbYI4Vs/21UEuu9G\nhgU8qcf79+/k9On2LFumP6cn6ys7+3tDlYuXXvqYZ555JWALlezs78nNbUdBQRkbNth1ea9wwsOL\nNK9K77kBAVuEtHSoi4vs3Gwwe20MFA4OBCeGBqxfbv8LlodqiIFQ2+fExMR4vF+fcfM2ckb7qmMI\nNix58uRJTZha/Xk5PR+NhZCBugyR1CEJ11EX+VX52NfZhTyRQYvsrKNZDH90uLsdPLhXsVvhgO0A\nI/7fCG3fltgyvr6FgUpLP3Ikn6ioSr79Vhgfk6kV113XDat1Z1BN//ypXIwZU2XoRXkfqxIs/vu/\n9yJJIMswbZrLp427nvHn3ZfqcvKitMXFKXy9Hn/h4BIChovjW8U3WFWiOdCYZJNAxk5fE/fPf/6T\nr776iqKiItq2bQtA69ateeqpp5g+ffpFfZ7LCSEDdRni/Vfep7KykoQEIfM8/NHhIqTnBavZKjwY\nPQ1cnUicYB1jdR9Xt0/8OjfB4vvz3+OgTng1AvgciBTHxrWKE/qEMrRd21brvAsi9zXhxQmehlFF\nPWrUDYW38bmYvI53DZbFkkWnThUUFHzOM8+8wltvvexzXvV6PXv28Sgi3rsXrruuhoMH3a073G3c\nd3DixB4PRYwlS94hK2svkiRpNVQtGefOlYhQnp6oo8Lf0CMQnpUfT8psMmutNPRQ6eqXKy7EwM2Y\nMYMZM2YwevRovvvuO2praykrK2tQPmrhwoUsWbKE7OxsHnroIRYtWuSxffPmzUyaNImTJ08yYMAA\nFi9eTOfOnYM+f3MgZKBo3gRoSw8Vqh15wcvwDcGDsWfDph2Tkpfio6Q+/NHh7mZzejQxw+9i8jp6\nY5eRsYKuXcfTty/s3VvB/PkzyM1d4nFeRVGYOPEhamq+paBgMHFxbuN2+LDw6MrK3Ermahv31NSB\nJCQs9clXZWRkER4eTu/eF19D1ZRQFIWzZ49BPG6yg74MwUAA3wMGrWJSk1NJ6ncFKr0HAUmSiI6O\n5qqrGrayu/baa5kxYwaZmZkehdsApaWl/PrXv2bRokXce++9vPTSS/zud79j504DVZhLiJCBChIt\n2bAkd0xGsbhj4JIkccByAGucr4FQKeg/2X/yMDL+zquXLPLwqHTIKfAVqs06muW3gFdRRJ8of/fT\nkmNh9OOjseRYqJKElyEhYTaZSeqS5JdEoRImLjav460H2LdvFenpi5g1q5K//92dQ9q4cTVW63oG\nD5Y5dKiUOXM2GXpZ3pg//zkf6npubhbdu1dQWupg9eq3W2ROSs07Hdh/gHJXjTtkB1qnYG0hY4Ra\nfPo7xdvjuW/QfS3CMLXU7/eF4le/EqK5e/bs4fTp0x7bvvrqK3r16sX99wuNy/T0dNq3b09OTg4p\nKcHJpjUHQgbqMoaiiPbzrz/7OoqiEB0dTWRkJJNmTOKA5YBhLkn1kIb9aRg78FWI0MNb7LXjLzoa\nGih7rd2XEGGguA5iQkrqIBhZSR2SkHI9w2UAlkhdfsOLnVhIIUqO28DpyQsbNqyiVy93Xuf+/xlH\ndZRY1lty3NJGqqEDY8agkR6gSltX80V33jmKzz9/jSeekPngA+jf/6Chl2UE77BkRsYKrr/+Ufr3\nh7fegrZt97fInJRH3ikQCULvIakhwDJE8bbXM5mam9oijJOKlrYoaCocPHiQtDR3rWRMTAyJiYkc\nPHgwZKBCuDjIsowsy5SVlWkNFU0mk/blyi3K9aX+thD0TunNh3M+BNB+6qEoCiMfG+lLeddBkiTC\nw8N9Es7r1r3Hww+7vZ75X/xA0RjByNNPqqqhA1ByRINK/cS0f/9Ozp3rQ0GBeE/NRZnN8LvfCSZe\nbW0t/fsfQ5IEe1CW7Wzduoj09MoGeW+KorBmzbs8/HANe/ZAVBTk5jqoqXk7YM1Ui66h0hshXa1e\nVAlc8y3Ex4t8XHR0d5JSLu/80uWKiooKOnb0rIpOSEjAZgscVWluhAxUM+NCQ4WKomgNAdVWDwkJ\nCf5rJLyZVeUQ5gojJ1pIGllyLMRb4jFHmj2U0C+0wPZiwyOyLFNbW0ttbW29hcySJPkki3/58D3s\nsvzAl9Pc71VVVwhiRwDZJZXeq45/avpUTVcOFM6fL6XGUUmEDE//TnT/vfHGAyxe/DwvvCDG2a8f\nzJ7tLhLu1esQmZkrGDHilwHp6SC8tZtuygZgzx6YOBHmzYOoqP0Ba6YuaQ1VefC7ms6HEbc6HEV2\n0UoOpwvtuPFaEftt1y4tKIZlCL4YOnQo3377reHiZPDgwXz33XcBj4+NjcVq9VzEWq1W4uLiGnWc\nF4uQgQoSlyoHpRYOqtIuUVFRmM1mKioqAhfweYf3VoD8a5nCun9qfsj+lTt5Wl9PKLNixrrF1zMz\nK96FMGgGMt4eT++U3h7X0MPlcjHxpYnkFuVqbU8O5h2EMxDAifJBTlEONqN5egu+bcN18BaiLThX\nYCiOW70hnnffvRpFsXDoUGtGjSpEPzdERoq6KRDe2+LF7zJs2D1+vRs1PLl//w6ystqycuV57rmn\nGkmCwYNh+fIYTpx4y7BmavjwsU1WQ6XmmU6eOsb113XR3k/qkITlmEWoQjTga9A/9TbWf+gWdlWF\nbOsz3CEExpYtF8c26tmzJ0uXLtV+r6ysJC8vj549e17s0BoVIQNVh5ZGgnC5XFRXV1NbW+vT6VeV\nYmkQ/Hw0RxuHO3dUT0+olB4pFCb69lrqeqSr75jqDGSvnF6seneVR2Gi0+nUPCaXy0VeSZ6noKhq\nwwJI33ij8/XdOMEZ441q3U1DFA28xXGdCjvOnKJfigtKZc6cGcSXXwqjcPp0CXfckYMkCY9KkkS3\n32++Wc/Ikb8yrINRf3/qqTkoyms8+eQIBg36ARAGatu2tiQk5LJ+/XJA0XJrPXse4o03XvT4PSNj\nhWbIVEMlyzJT06c2WKlDyzMlwwl0ifVcsDvshsdoKIHOX1+tsRbVa4VwYbjY+cjlcuFwOHC5XDid\nTmpqaoiIiCA8PJz77ruPZ599luXLlzNmzBhmz55NWlpai8o/QchAtSio7Lbq6mpcLhdRUVEkJCQ0\n22ozp8CtaK5HcsdkFr66kKQOSSgW3y9N0tViEgrL9Rynoigktk/UwmbesjOJ7ROZ/8J8v1/ECFcE\n5nVmpLrCmmhTNMldkknskKi1bQjKc2iNZ1I/mMWnlxqCrY7zeGof/OGXFXTrNoFRowRL6o03nuXM\nmfZ8+aX+s4PN9r3WCTgQMjKWa607VEjSMcaPV1iy5H0ALbd2661VzJq1mB49qujbF77dX8WeLyeS\ntPKvddcVRrC60EbM1QmG3qCSozBpxiTNeKn30JJjobSm1L+uXpVdhEzrmjt6o1NMJw6sOVrv5w2h\nYbhQ7/jVV1/l5ZfdNXWffPIJs2bNYubMmbRv354vv/ySiRMn8oc//IEBAwbw2WefNeawGwUhA9UC\nIMsyNTU1Wu8jlY13oQ+mNz0cYLu83VdtQi203AKUQ2FtIYW2QjEBqfnTCHf+692X370gWaSRj400\nnCgjLBHEx8f7DVX2792fVe+uMqzAr6io8BACbYhXGX4Oeu2rS9S3a7gQp5AsepuRI3+JJElMnz5P\n2zZpxiQ33b48i68fGwmIv8n7r7xveL6srJ2Ult7CsWPi99OnSxgyJAdJUoiK2k9iouTBKExOrqKk\nROSsTtmgaHQFRV6MzPZ5YXQsM14NS5JE5o5MCmO8vOFa/NYwWc1WGIPbMBmw+JJyk7T8YSiEd+kx\na9YsZs2a5Xf7sGHDOHz4cDOOqOEIGagg0VghQP15VNKDw+HAZDIRGxsbVO+X+sZilEfq+IuOvjIy\nBqrSgGcLjS3uazbUMKmGN5DxCHTOsLAwzGaR3/KY+HVQw1UNmRA7xsZx29U9Ua6CNm2SsNls2jiC\nMXSCCHGQzMyVmhelIrcoVyjNe8M30qZBb+BE8e9QbrtNDRfW8vXXsZw6JQT9jh/Po7S0kFdflXnl\nlViKqiUwqGe75mqZwsJTfsYvCcq9EVW8AWFVb+iVwI3uo7q4cDgc2qJE//fXvw4ZuBAgZKCaHarm\nltVqRZZloqKiiImJafIvpAfBQV+bEiQaYpxU0U2n04nJZLpgNebcY7mMrPNA9ufsN1amsIjJLKVT\nCpZNFuy17jyJtcQKUYj/upCU7IzhzTc3axOmOl6Xy0Vi+0SkHIlse7ZhIXNRURyff94LRVEoLd3C\noEHDPPJr/hiI6nUCKVxPmjGJXUd2Ul19lJ/ecb8fHWZn6NDHGTXqV2RkLKeg4P8hSVWMHi1zdsv1\n/AffsJokQatWlX7va4W9wnBbUDBQguid0pvkq5KJjo72uAfqPa6trcXhcGg5EHWR5R32VeFN/Vf3\nUY9Tvy+NaeDU84fQchAyUM0EWZaprq7WpPyjo6M9apeaGvf84h7NA8mpyqHKXoXNceE1D0YejaIo\ndG3blfkvzNfYhsF8vuSOyYYeRm6Nzhv5AcO8R26VGINR+OzqoVcbGjX7OmHEVA/P6XQSGRlJTEwM\nf50rcjkjHxvJNnw9ocTENN58M9OvorW/zyvLMlVVVR6Tst6wSZLE0bNHOdT/iO/n2NCKn37azl13\n3cOKFX/mkUfc+ag3vzzts7+K2FhjL9teaxft1Y2gtsfw1tirmym8WZngG75UjYPqLanJ+bi4uKAM\nh7eBU38aGTNv4okKf56wd3G3frHg71whXDqEDFQTQs3d1NTU4HA4iIyMxGw2U1tb60Ftbg54h/0q\nKyvpMrpLvXJH/uA3lJULcXFxDTK8/nIzIx8bqRXUEolhSEo1Nir0htNebcw6M5vMVFZWakSUaXOm\n+bDdco/mYt5rxhTvmaPKjcxl0oxJ2pi9P6f2uxcL8KD9IA8884A2mXsbtkDGrdBawV/XLePfuzfi\ncFjY/w5cFwfP/A/ExBh7SQDn/wNRKyAszIyz1olLEpO2rdIG/spdEnALuhrc794pvcn8a6bfa4In\n2Sc8PJxWrVo1yIu+2GiCkYEzek99rUY1nE4nYWFhOBz+xQSbynsLwRghAxUkGpKDUkMa1dXVmgSR\nGsYLpEHXHNDL+gdTzxJnj6Nbu27U1tZ6rPb9fQajXJW3h5R7NBe7ZCc30h3CU/fzZ6yChYfhPGm8\nT7fO3TCZTMTExCBJEpZii6+xTRLK7t4emBUrX677ktzHPL3HohNFdOzckf05+8V1VQ+kjtJuxSo8\nsrr7MHnmZB8P1F9nWrmdTBFFFN3mLgw79FUY+16M5XypnVYrIujT8xZOnszH4agACWox44ywU3OP\nDfAy1IFYjCUQty6OGCVGM/5mk5nkrmJggWjjeo9JkiRiYmKCyqk2NowMhD8DqUY2nE4n0dHRHn2X\nAnlvgcKTgfKYDTVwV7pHFzJQjQg1l6GGNLwliKBxtL4uhLChGibVOEVFRXG1+WqkdWI89iq7tsKO\ndETSN7evoIkPTOStGW9p6hXqOfx9CdUeVCBo5O+kv8NbM97yMG5jJoxhW9I2D8khICCRoDERHh5+\nUR6s1Wz1MWjxOfHkJOWA9/ztZQzUvNr+nP2eclQR+Db+CwBHG5kzQ8Xx8etEKLVz50QPI99tZDeM\nCBTa9bxDeWXAVZDaKZWV76w09PIAysvLfcKT+hybmmdSIwhGzfkuNdQCeDWa0VCv3x8aGp70fg/c\nBu7QoUOcOmVMdLlSEDJQFwlvCaLIyMiA1OnmHhuIB9477wGwb/2+oM+jGl9FEW3O/a2MbTE2N6U8\nB49W2npSghFcLhdVVVXGhAM/c4c5sgGzerCoC89dFJHAD4rLiyk8WSiMkb5g+CKEAaxmK9v+sw2c\ngkyienfF5cX+D9Jfty6UF78unt5X9ya5Y7JPV1kV3pOu0+mktrYWRVE8FmNqcaiRgfM2bsH+V4+9\nGOjDjxEREcTGxjZqSK4xwpNlZWXMmTOHgoICD7WHKxEhA1WHhnolRhJEsbGxLWZ1qDcMcGE0cfXL\nrE5AKpHA5zz6fItaVwXkVeVpNHE9/BnvsLAwIiIitHEntk+EHDGOA6YDhvmybtd3o6Kiwtio6dhm\n+uR+veoGdUW68pbAmoB6BGvM5LayJ4VfvXdlCI27fwMdvA6KqNvHz30mH9GbKaIulJhd593V1j+e\neHs8vS3iviTfXn+IVa9UoRaUN4TwY+SV6f8bLWi8yQsXauDUheSlDD8Ggsvl4pNPPuHjjz9m+vTp\n3H///Vd8Pqtl/YUuA6ikh9raWiIiIjwkiC41vMN43qvPhpyntraWmpoawsLCNI9Jfx59XmlH0Q7k\nX/tO5t4EhvqQnZvNU688pU2Sf3n9L9q2STMmkWvxrYNK7JSoUZsdDoengdLJGfU82pMv5n+hTXRW\nq1W7NxckHeUFOSx4Y+aBUkAtpQpQBKtpChptKwZ+Y/D+v+u/fDCkBz30ORu1RKIhz9eFPI8q/DEn\nG2rgwsLCNEPVnN5boM+1b98+XnzxRYYMGcI333xDq1atmuRalxtCBioIqJ4EgM1mIyoq6oLDeBeS\nPwpmfEaGqaFQadf/f3tnHhxVlf3xb29JOp2EbOxhjYlQiFAGfnFGgoRlwCBRYGpAEMpldKaQWdQa\nHPYggvxYZkSJOINsBYzi/AaEIMOWkRDJKBSCSiJZAAEBydZk64Sku+/vj3Afr7vfS+/dL+F8qrog\n6X6vT7rfu997zj3nXF6vIjXLlEovt5qlB+dGk3sCVauvlSzGBeQz/extfrDbg9CWOV7WSd2TEBUV\nBcBxgEvqkgR1qVr4XoQaKPuO8LxuLN6NP+o2oP6X+l5at71p9peC/XsCrRsDWtGaySiF3FfdKDpX\nzb330jXqkFqWCsD17vXiz9mXazbu4K5QiG3mXh4gL3D+9N7kbK6qqsKyZctQXl6ODz/8EElJnu0m\n0FEhgWoD+xZEAALaG88ZfG3JmzAeP4+4sLatuLxkevl3MudVSXsmSV2S8O3Bbx33rJK4GuU6SCTG\nJ2LtwrUONrfVjZ1j/znZ70sl1EDZN5T9HPfCbZ8D6mqR8JjR2oUh2u6YeMBQa0Bduovp/Pw9xeE8\nLe4VVv8TjgLJ7r7e3t5wSHpcqWWpLntN4mQCZ9eGUhBHAHxlsy+8N37d5eTk4OOPPwZjDN999x1G\njRqFtLQ0XLhwgQTKDhIoCcRhPHELourq6qCH8viNAEBo0aNSqYStKlwNU/AF7jt37ggdLVwtrHUV\njUraw9ywfANKf+NaSyC5eitLsQVqtTqgA6Z9kWqppRS30kVZiDK1QzxTUup89dZ6xx6JgHw4b6/M\n72WSLKIOShfWOkM8yPsjmcAfiBMgPKm/agtvw3xiEYuPj4der0fXrl0xceJENDQ04ObNm4pIrFIa\nJFB34TNF3vImLCzMwVvi4blgiJR9GC8iIsLjWRw/H9CasMATE+xrnVyOwddDeoBsav1Hygv6tuRb\n4Cacb3shQ+HFQjz1h6ec1k7JeWB8kJZ6rvxqOUZghOMxdkkENoXEbRCmDcNDJQ85DPBJI5Lwry/+\nhdr82nuJEuKt0r1ErVJj0v9MwpoFawDYhqcaGhpkv2ez2Sz0ywsPD7epDVIqPAGCMabIBAiVSoWK\nigosWbIEDQ0NePfdd9GvX79gm6V4lPUtBpG6ujpYrdaAtyBqCy4ivlxfam5uhkajsfkb3RE3yYQC\nmS4P+L/Wc0t6QQ/AaWq1ffxfjFCL5KR2ylnzVqnnokqi0OVuO/e2BNChANlUisaDjdDr9EjskyhM\nZpJTk5H9VrbkOQ6OOtjaM9C+aa/cZyPX5KASQqNXtVWNCH0EusV2w9//9+8AXMues1gswvfLMyIb\nGhqEnz1dd/HnvWRfaKuUe1dMS0sLPvzwQ3zyySdYtmwZxo8frzgblQoJ1F0iI/rOWtQAABx3SURB\nVCN9nrwghStJEvaCwY/zdH2Jb6XOw5WehBK4TZJhHpnF+zB9GGpra2E2S29pG9kYicElgwHcG8QS\nOyfCbDYL62LOtn/3BzaFuG0IoL1wiRfldTodQkNDnYbFMtIyWr0o+07zMkRFREm+NspwL5QnJapy\n1w8P9fKsNp6Vav+aYKWGy13z4rWxYCVtOIMxhpMnTyIrKwuZmZk4ceIEQkNDg21Wu4IE6i7+yK5z\nF/ub3dlN2tZ5xB26+Q3szRoCtyO5azJUZbb2fGX5Ci0SU/vw0HBERUXJhlsGPzAYOe/l2AxoFotF\nmLXzv6Ut+M687gxuwN0QI+DY+cED7IXJlfUaV3oGuoO76eKAbVgsLCxMtlzC08kR4FzcAOlibqnk\nAv7g14larUZISAjUarVDxwpvbPYFN2/exKJFi8AYw+7du9GrV6+g2dKeIYFyA3+JmP36Ek968OQ8\nLhXWeoFUuEuu83dS36Q231utViMsLMxmQV6j0Qh1V4wxDOg+ANoyrXRroLtIdSzg35NcjZNDBqEH\neCJMHKc9A7WwydjjCRrlYeVCYa0YV9PFgdbPxJMiW0/wVtz4v+JrG4CwoSf3AF0VN289N2c0Nzdj\n48aNyMnJwVtvvYX09HTFeXbtCRKoIOHL9SXxAC9XWKtUmpqabIqexeFHlUolrN2M/814yfUitVot\n2ZZHnATiDRaLxaZTBf9M/7jsjyirKBMmE/z3t67cQtc+XR3O43Yj3DTYZOw9XOa+h2SPt0W2gYbb\nxu22Wq3Q6/UuXdv24uZpQpGzh8ViwalTpxAdHY2ysjK8++67mD59OvLy8oS6K8JzSKDuEsgblcfP\n+fuKU8TdwZXC2kAgt58Tn9VLPW+1WvHTlZ8w6XeTHP52qcHc2XvYw88nPs7GC+MfE2+YCtyrYaqE\nkKRQ2FiIKa9NAQD0j+uPtQvXwmKx4GLlRXw54EuH940sjkTpA46ZgdYSq033AhtPXFycK27e6kKr\nIldQQpGtJ4jtDg0NFbwmV/AmQcMdcaupqcHSpUtRVVWFW7duwWKxYP78+Vi9ejWOHj2Khx929HYJ\n1yGBChDiTCmtVis0XvUkHMHDHa4U1gYCZ54Bf96+IPjpPz7t8vboG5ZvkEwZLy233Z+pLdvkvDBx\nAW5UYxRgAGrvdgqvRS1O4iQAwFpstUm9lsLZgMgHNrmWTDa1VJ/bHscLxl3NlhMnEijhOnEVe7sD\nLaiuiltTUxN27twJnU6Hbdu2YcSIEVCpVLhz5w6MRiNiY2MDYW6HhgTKDTxZg7JfX1Kr1ZJ9tjxJ\nA1apVGhpaUFLS4vL4mbvrQXixhcLU0hIiMcDpbOUca+4KxJ8fUdqTU2j0UCv12Pu4rmtSRZuJFjw\n9TbxudzFnZAUv2bUajV0Ol2biQRK8ab4xMsfhba+hDGGo0eP4u2338asWbOQl5dnE7kIDQ1Ft27d\ngmhhx4EEyg+IF+hdTROXe57ftDwkaL/HlCvhCHFLpEAuIvNOFXznWl93qnAXp+E+FzmYfxC1zd4l\nWYhtKf2hFI3NrZl8LbUt0B1sXbvQMz2Syu6GSbslSXaG53BB4iUFfC1SLFberrf4U9x4RiEARRba\nci5fvowFCxYgPj4eOTk56NKlS7BN6tAo8ypop9gPBIB3hbV8sOEzd6mKfm9j7f5YROaZVQCEeiCx\n9xkskXIl3CeuPZNi7uK5qGiqALyMlHm7c7AY8SSGe+juDPD+ug5cebSHQlsAMJlM+Otf/4r8/Hys\nXr0aqampirSzo0EC5QPsw3jezC7tC2v9Gebw1EYpr81qtQotchhjgpharVY0NjbaDGhAa8hLLgWc\nD7j+DEPZJ13wQTixcyIuV1+WPa60vLR1a5F8OHQ6V1vV6BbTzes0cFfhEwGefMEz3NzFl9eBu+LG\n31+tVgvrqoH03JxhtVrx2WefYe3atXjppZfw5ptvKjLs2FEhgXIT8Y0lJ0yenNPXhbX+ROy1iWfv\n4kFS7nMQD1DJXZOhLlULv+f0j+8v1HKJH3IdKfgs3J0BbcPyDbKdH+YuniubMSgkaUh0Oo9ojHB5\nl2JvcbXI1p944r0z1loSwXe0FXvX/vbc+P3kqr2lpaWYP38++vTpg0OHDiEuLs7NT4jwFhIoNxDH\n833RhogP7v4srPUXfKDhxbWuzt7Fn5UrW2OI4UW79iG4xM6JALxLItBoNLBYLLBarViftd7GTvH3\nMf43492y2dcEssjWl9h7e5623OLn4v/KiZnctcDhgiW+JoxGI3bt2gWDwYCCggJcunQJf/rTn/Dz\nn/9c2EssUDQ3N2POnDk4duwYjEYjHnjgAaxYsQITJkwAAOTm5mLu3Lm4du0aUlNTsXXrVvTu3Tug\nNgYCEigX4Rc4n3HzC9zey3FlsBAP7u2tsFa8NiZVXOtP5BquOoMPTOJsQt6xgj/vajeCtnbf1ev0\nsFgsfglDiW1vD0W2Yrio8mbM3l7r/lp3bW5uRklJCX788UeYTCbExMRgzZo1MBqNOHDgAAYPHuyx\nze5iNpvRu3dv5Ofno1evXvjss8/wq1/9CufPn4fBYMDUqVOxZcsWPPnkk1i0aBGmTZuG//73vwGz\nL1CQQDlB7DGFhIQIs2xPwg4AhEaoGo3G5mZV+mBjXxSs1BRgKcQTC15X42r41P47ljsu0hSJcY+O\ng8lkcul6aGv/Ln4c0H6LbAHHzhXuFNr6C7l7raioCAsWLMDAgQORnZ2N6Gj7nScDS3h4OJYsWSL8\nPHHiRPTr1w9nzpxBZWUlHnroIUyZ0lpAnpWVhfj4eJSUlCA5OTlYJvsFEqi7iC9aPrjYry+FhMjt\nuX3vOKmHxWJBS0uLEFLiAztfQ+Dn9/ThT9zZbVdpeNMrj2P/GUs1ywWApDTb7hdyCQTiQl1n4Uh+\nvEqlgkajEYRWCckDbcHtDFahrTvU1tZi1apVKCwsxLp16xTb+eHWrVsoLS3FoEGD8P7772PIkCHC\nc+Hh4UhMTERhYSEJVEfGfhAB3FtfEr+Wh42am5uFHWvlZpBthR3cXSx2ZWddV/4mXxXXBgNfCJMc\nrqaHexqGYozZ9CfkkyJ/JA/4umibr6nyBAglXzNWqxWffPIJNm7ciFdffRV/+ctfFGur2WzGs88+\ni+eeew7Jycmor693qL/q1KkT6urqgmSh/yCBusuhQ4fQ1NSE2NhYxMTEIDY2FtHR0cLM1dWbl9+k\nvLA2NDTU6UK2N0kW/F93ForbGsgACGFMnU4HvV4v3Lj2s3ul4U9h8jfidUk+uLsbQpXz2uy9eW+F\nTerRXgptGWM4f/485s+fj5SUFOTm5gY8AcIdGGN49tlnERoaivfeew9A627atbW2heK1tbWIjIwM\nhol+RZlXURCor69HSUkJjEYjqqurYTQacfv2bSHExxiDXq8XBCw6OtpGzNRqNfLy8jBs2DCMGzcO\nYWFh0Gg0fh0g7We+rg5oUsLGa5j4ecQhJW8HMnfTe92lvQuTfZGtp2t73nhC3nrx/H3VarUQ3lNC\niFqM0WjEihUrcPnyZWRnZ2PgwIEBe29PefHFF1FZWYmDBw8K18WgQYOwfft24TUNDQ24ePEiBg0a\nFCwz/YZKfIFJENwd/BQC/4xMJhOqqqpQXV2N6upqVFZWorq6Gjt37sSZM2eQkpKC3r1748aNGzbZ\nXiEhIYKYib0zscDx/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h7gxdTU1ODIkSNC55Bdu3YhPz8f48ePD7ZpsrSHNRh/0548dEIa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\nSUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f2f82c284a8>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Saving figure manifold_decision_boundary_plot4\n"
]
},
{
"data": {
"image/png": 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wNVJSEg0IP07w5puvEBycwcMPO9IV9uol3mZUVDGzZ3/AX/5yjTfe+JqUlEQe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MWR/6eo06y4tRjyLWYELrUnwOb48rEes4NzSBS9iCUSamkGvZtG8bpiRTHPiCQt7M6YNYMXlr6g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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f2f80dfbcc0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from matplotlib import gridspec\n",
"\n",
"axes = [-11.5, 14, -2, 23, -12, 15]\n",
"\n",
"x2s = np.linspace(axes[2], axes[3], 10)\n",
"x3s = np.linspace(axes[4], axes[5], 10)\n",
"x2, x3 = np.meshgrid(x2s, x3s)\n",
"\n",
"fig = plt.figure(figsize=(6, 5))\n",
"ax = plt.subplot(111, projection='3d')\n",
"\n",
"positive_class = X[:, 0] > 5\n",
"X_pos = X[positive_class]\n",
"X_neg = X[~positive_class]\n",
"ax.view_init(10, -70)\n",
"ax.plot(X_neg[:, 0], X_neg[:, 1], X_neg[:, 2], \"y^\")\n",
"ax.plot_wireframe(5, x2, x3, alpha=0.5)\n",
"ax.plot(X_pos[:, 0], X_pos[:, 1], X_pos[:, 2], \"gs\")\n",
"ax.set_xlabel(\"$x_1$\", fontsize=18)\n",
"ax.set_ylabel(\"$x_2$\", fontsize=18)\n",
"ax.set_zlabel(\"$x_3$\", fontsize=18)\n",
"ax.set_xlim(axes[0:2])\n",
"ax.set_ylim(axes[2:4])\n",
"ax.set_zlim(axes[4:6])\n",
"\n",
"save_fig(\"manifold_decision_boundary_plot1\")\n",
"plt.show()\n",
"\n",
"fig = plt.figure(figsize=(5, 4))\n",
"ax = plt.subplot(111)\n",
"\n",
"plt.plot(t[positive_class], X[positive_class, 1], \"gs\")\n",
"plt.plot(t[~positive_class], X[~positive_class, 1], \"y^\")\n",
"plt.axis([4, 15, axes[2], axes[3]])\n",
"plt.xlabel(\"$z_1$\", fontsize=18)\n",
"plt.ylabel(\"$z_2$\", fontsize=18, rotation=0)\n",
"plt.grid(True)\n",
"\n",
"save_fig(\"manifold_decision_boundary_plot2\")\n",
"plt.show()\n",
"\n",
"fig = plt.figure(figsize=(6, 5))\n",
"ax = plt.subplot(111, projection='3d')\n",
"\n",
"positive_class = 2 * (t[:] - 4) > X[:, 1]\n",
"X_pos = X[positive_class]\n",
"X_neg = X[~positive_class]\n",
"ax.view_init(10, -70)\n",
"ax.plot(X_neg[:, 0], X_neg[:, 1], X_neg[:, 2], \"y^\")\n",
"ax.plot(X_pos[:, 0], X_pos[:, 1], X_pos[:, 2], \"gs\")\n",
"ax.set_xlabel(\"$x_1$\", fontsize=18)\n",
"ax.set_ylabel(\"$x_2$\", fontsize=18)\n",
"ax.set_zlabel(\"$x_3$\", fontsize=18)\n",
"ax.set_xlim(axes[0:2])\n",
"ax.set_ylim(axes[2:4])\n",
"ax.set_zlim(axes[4:6])\n",
"\n",
"save_fig(\"manifold_decision_boundary_plot3\")\n",
"plt.show()\n",
"\n",
"fig = plt.figure(figsize=(5, 4))\n",
"ax = plt.subplot(111)\n",
"\n",
"plt.plot(t[positive_class], X[positive_class, 1], \"gs\")\n",
"plt.plot(t[~positive_class], X[~positive_class, 1], \"y^\")\n",
"plt.plot([4, 15], [0, 22], \"b-\", linewidth=2)\n",
"plt.axis([4, 15, axes[2], axes[3]])\n",
"plt.xlabel(\"$z_1$\", fontsize=18)\n",
"plt.ylabel(\"$z_2$\", fontsize=18, rotation=0)\n",
"plt.grid(True)\n",
"\n",
"save_fig(\"manifold_decision_boundary_plot4\")\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# PCA"
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Saving figure pca_best_projection\n"
]
},
{
"data": {
"image/png": 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fv481az5BNRafBMrxGYjbIjk5mUcffbTdmi6kVSKRSLoTwZDBMQPRLbZFAw0t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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f2f82c52b00>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"angle = np.pi / 5\n",
"stretch = 5\n",
"m = 200\n",
"\n",
"np.random.seed(3)\n",
"X = np.random.randn(m, 2) / 10\n",
"X = X.dot(np.array([[stretch, 0],[0, 1]])) # stretch\n",
"X = X.dot([[np.cos(angle), np.sin(angle)], [-np.sin(angle), np.cos(angle)]]) # rotate\n",
"\n",
"u1 = np.array([np.cos(angle), np.sin(angle)])\n",
"u2 = np.array([np.cos(angle - 2 * np.pi/6), np.sin(angle - 2 * np.pi/6)])\n",
"u3 = np.array([np.cos(angle - np.pi/2), np.sin(angle - np.pi/2)])\n",
"\n",
"X_proj1 = X.dot(u1.reshape(-1, 1))\n",
"X_proj2 = X.dot(u2.reshape(-1, 1))\n",
"X_proj3 = X.dot(u3.reshape(-1, 1))\n",
"\n",
"plt.figure(figsize=(8,4))\n",
"plt.subplot2grid((3,2), (0, 0), rowspan=3)\n",
"plt.plot([-1.4, 1.4], [-1.4*u1[1]/u1[0], 1.4*u1[1]/u1[0]], \"k-\", linewidth=1)\n",
"plt.plot([-1.4, 1.4], [-1.4*u2[1]/u2[0], 1.4*u2[1]/u2[0]], \"k--\", linewidth=1)\n",
"plt.plot([-1.4, 1.4], [-1.4*u3[1]/u3[0], 1.4*u3[1]/u3[0]], \"k:\", linewidth=2)\n",
"plt.plot(X[:, 0], X[:, 1], \"bo\", alpha=0.5)\n",
"plt.axis([-1.4, 1.4, -1.4, 1.4])\n",
"plt.arrow(0, 0, u1[0], u1[1], head_width=0.1, linewidth=5, length_includes_head=True, head_length=0.1, fc='k', ec='k')\n",
"plt.arrow(0, 0, u3[0], u3[1], head_width=0.1, linewidth=5, length_includes_head=True, head_length=0.1, fc='k', ec='k')\n",
"plt.text(u1[0] + 0.1, u1[1] - 0.05, r\"$\\mathbf{c_1}$\", fontsize=22)\n",
"plt.text(u3[0] + 0.1, u3[1], r\"$\\mathbf{c_2}$\", fontsize=22)\n",
"plt.xlabel(\"$x_1$\", fontsize=18)\n",
"plt.ylabel(\"$x_2$\", fontsize=18, rotation=0)\n",
"plt.grid(True)\n",
"\n",
"plt.subplot2grid((3,2), (0, 1))\n",
"plt.plot([-2, 2], [0, 0], \"k-\", linewidth=1)\n",
"plt.plot(X_proj1[:, 0], np.zeros(m), \"bo\", alpha=0.3)\n",
"plt.gca().get_yaxis().set_ticks([])\n",
"plt.gca().get_xaxis().set_ticklabels([])\n",
"plt.axis([-2, 2, -1, 1])\n",
"plt.grid(True)\n",
"\n",
"plt.subplot2grid((3,2), (1, 1))\n",
"plt.plot([-2, 2], [0, 0], \"k--\", linewidth=1)\n",
"plt.plot(X_proj2[:, 0], np.zeros(m), \"bo\", alpha=0.3)\n",
"plt.gca().get_yaxis().set_ticks([])\n",
"plt.gca().get_xaxis().set_ticklabels([])\n",
"plt.axis([-2, 2, -1, 1])\n",
"plt.grid(True)\n",
"\n",
"plt.subplot2grid((3,2), (2, 1))\n",
"plt.plot([-2, 2], [0, 0], \"k:\", linewidth=2)\n",
"plt.plot(X_proj3[:, 0], np.zeros(m), \"bo\", alpha=0.3)\n",
"plt.gca().get_yaxis().set_ticks([])\n",
"plt.axis([-2, 2, -1, 1])\n",
"plt.xlabel(\"$z_1$\", fontsize=18)\n",
"plt.grid(True)\n",
"\n",
"save_fig(\"pca_best_projection\")\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# MNIST compression"
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"from six.moves import urllib\n",
"from sklearn.datasets import fetch_mldata\n",
"mnist = fetch_mldata('MNIST original')"
]
},
{
"cell_type": "code",
"execution_count": 32,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"from sklearn.model_selection import train_test_split\n",
"\n",
"X = mnist[\"data\"]\n",
"y = mnist[\"target\"]\n",
"\n",
"X_train, X_test, y_train, y_test = train_test_split(X, y)"
]
},
{
"cell_type": "code",
"execution_count": 33,
"metadata": {},
"outputs": [],
"source": [
"pca = PCA()\n",
"pca.fit(X_train)\n",
"cumsum = np.cumsum(pca.explained_variance_ratio_)\n",
"d = np.argmax(cumsum >= 0.95) + 1"
]
},
{
"cell_type": "code",
"execution_count": 34,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"154"
]
},
"execution_count": 34,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"d"
]
},
{
"cell_type": "code",
"execution_count": 35,
"metadata": {},
"outputs": [],
"source": [
"pca = PCA(n_components=0.95)\n",
"X_reduced = pca.fit_transform(X_train)"
]
},
{
"cell_type": "code",
"execution_count": 36,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"154"
]
},
"execution_count": 36,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"pca.n_components_"
]
},
{
"cell_type": "code",
"execution_count": 37,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.95036230847692071"
]
},
"execution_count": 37,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"np.sum(pca.explained_variance_ratio_)"
]
},
{
"cell_type": "code",
"execution_count": 38,
"metadata": {},
"outputs": [],
"source": [
"pca = PCA(n_components = 154)\n",
"X_reduced = pca.fit_transform(X_train)\n",
"X_recovered = pca.inverse_transform(X_reduced)"
]
},
{
"cell_type": "code",
"execution_count": 39,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def plot_digits(instances, images_per_row=5, **options):\n",
" size = 28\n",
" images_per_row = min(len(instances), images_per_row)\n",
" images = [instance.reshape(size,size) for instance in instances]\n",
" n_rows = (len(instances) - 1) // images_per_row + 1\n",
" row_images = []\n",
" n_empty = n_rows * images_per_row - len(instances)\n",
" images.append(np.zeros((size, size * n_empty)))\n",
" for row in range(n_rows):\n",
" rimages = images[row * images_per_row : (row + 1) * images_per_row]\n",
" row_images.append(np.concatenate(rimages, axis=1))\n",
" image = np.concatenate(row_images, axis=0)\n",
" plt.imshow(image, cmap = matplotlib.cm.binary, **options)\n",
" plt.axis(\"off\")"
]
},
{
"cell_type": "code",
"execution_count": 40,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Saving figure mnist_compression_plot\n"
]
},
{
"data": {
"image/png": 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5OcmLy9jtdjDGkEgkMD09jeXlZcTjcdTW1vLUQqD0bgMo402sNUZ6f+k+6XQ6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\nxsZ42dlEIsErxVF6IYUOKKWtUpEd+r/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CH9XG8GlNTKfTCIfDmJ+fx+TkJG95ajQaubCm\nxiuSJPFmSqQY0bVoNBrs2bMHsVgMRqORr/ViCGCt+Pi9gBQf8dmlbXQ+Um6SySQWFxcxMzODkZER\njIyMYGFhAQ6HA3v37oVWq+XhPQoLyD1Ja933XSvAi8Ui4vE4zp8/jwsXLgAAent7cejQIbS2tsJs\nNj+whTGfzyMajWJ0dBRXr17F8PAw0uk0zGYzjEYjfD4f5ubmoNFooFKpcO7cOfT39+Ob3/wmjhw5\ngqampgcyzrVAwvvP//zPMTQ0hGAwiGQyWXHfYrGIqakpXLp0CT/3cz8Hi8XySLRypRd+eHgYGo0G\n3/zmNx/2kFbh7Nmz+N73vod4PI5EIgGNRoPW1tZd22ddjMeKsVS54AHKO1IVCgUEAgHMzMzA7/ej\nWCzCZrPB5XLxlpjUnIP6Y1ssFqhUKh5vJUFWrVtVtN5okc5kMlxRmJubg8/nw+LiIvL5PAwGA+rq\n6pDJZDAxMYFYLAa1Wo2mpiZ0dnair68Pe/fuhdvtXnVcUZGRz1W14yThQUQwADzOTN3G1Go15ufn\nMTg4iMuXL2NmZgahUAjpdBpAyUI3m83I5XJIJBJIJpMIBALw+XxobGyEwWDg1j2deyPBKAp6+pua\nqKTTaU4AJAud5oVY3BqNhu8v1hQXrfY9e/bAarWWhdREL8+9eF/oe+J9oGeRPhPJi8Rpyufz3HN4\n48YNjIyMIBQK8U5xJpOJd3yj66LnSq68VsKuEuD00C8sLGBychIjIyM4f/48rl69CgC4evUqLly4\ngLa2Npw+fRonTpzYNku8UCggFotheHgYs7OzmJ2dxdDQEC5fvoxQKIRCoYAnn3wSJ06cwIULFzAz\nM4Pl5WUEg0GEQiGkUik0NzfDbDY/NAGey+UQDAbxwQcf4K233sK1a9ewtLRUxrCthHg8Dp/Ph5GR\nETQ3N2+JAKeexbQY1dbWwmazoaOjAx6PZ9X+tKCK5CdyuRmNxkcmNAEAyWQSIyMjGBgYwPT0NF+U\n7HY7Tpw4gfb29oc9xG2BPG5Kiyx17RJZ2WRVJhIJLC8vY3R0FJOTk1hYWIAkSairq4PdbofD4eDd\noMhFSeSnZDKJcDjMPUdEkhLd8huhWCz1KI9GowgGg4jFYohEIvD5fBgbG8PS0hLq6urg8XjQ1NSE\nQqGAhYUFFAoFhMNhzMzMcPJSXV0dHA4Hf6Yr1VcXXevrjVEkoYldvUQuQC6X44xnSZLg8/kwNDSE\nGzduwOv1IhaLcaFJrnaRWEUeTb/fD7/fz8mqOp2u7PzrCUcx9MAY4128LBYLrFYr4vE4GGOw2Wxo\naGiAw+Hgwo0EO3UBo9AIYwzxeBx1dXUwGo2ora1d1ZddjIFvRniLZDtx/KJlTNdC3AxSTvL5PGKx\nGJaWljA/Pw+fz4elpSXU1taioaEBHR0daGxshNFo5F6cdDrNCZDVrFG7SoDTS3L9+nWcO3cOn3zy\nCUZGRjA/Pw8AGBgYgEaj4S/N0aNHy250JpNBOp3mDEx6gJubm1e5ujZCLBbD2NgYXn/9dQwMDGBy\nchKTk5MASl2p9Ho9XnzxRXzlK1+B2+3G9evX+ctEi9RHH32Eo0eP4vTp01s7UVUgkUggEAhgeHgY\nb7zxBn70ox/xzjobLXbkcRgfH8eBAwfQ1dV13+Opr69HX18fWlpaEI1GUSwW0draihdeeAEnT55c\ntf+tW7dw69YtAOAvRzKZhFarRWdnZ5l2/jARj8fh9Xrxzjvv4Pbt2/zlNxqNaG9vx+nTp7F3796H\nPcxtgcgQJyuLFnfxc1q84/E4ZmdnMT4+jlu3bmF2dpaHokgYU4e3lpYWWCwWLsyi0SgnScXjcej1\nelitVm7ZrTU+gmglx2IxzM3NYWxsDPPz8wgEAlyYq1QqtLe3o7+/H62trchkMnA4HNDpdBgfH+du\ndpfLhY6ODuTzeS4AK81LNRCFopgGJrrTyeOg0WggSRJCoRAGBwdx48YN3LlzB9FotMzqI0ESj8e5\nwCdeQTAYxOLiItxuN7LZLPR6fVke/FpCUhwndUUDAIfDgVgshuXlZaRSKahUKrhcLvT09KCnpwcW\niwX5fB7JZJKvjaFQCJlMho83lUpxop3NZuPrtRjz3wzRTlzjKhECxWsVSZZiC9Z4PI6FhQVMT0/z\nsESxWITdbkdnZyd6e3t5vD6Xy63yDFWDXSXAY7EY3n//ffzwhz/ET3/6UyQSCWQymbL4Gblb4vE4\nv5FkLY+OjmJ4eBi3bt3C1atXEYvF0NHRge985zvo6OjY1FiGhobw5ptv4kc/+hHm5+c5oaa3txfH\njh3DwYMH8eyzz8LpdOLVV1/FsWPHcPHiRUxPT/OY/cPE4OAgzpw5g3PnzuH27dtIJBKbyqPN5/NY\nXl7esmux2+04dOgQvv71r+O1117DtWvX4PF4cODAATz11FOr9j906BBSqRSA8lSV2tpamM3mRyYt\n6/r163jjjTfw1ltvwev18oXh4MGDePnll/Hss8/umOyE/5+9L3tu87zOf0AS+0rsAPd9FbVSiyVr\nsx3HTmzHadImTTKd6UynvelML3rdmf4ZnV41zXQax87ySxxbtrxIsiTT2iiJ+wqSIECAIPYdIPG7\nYM/xi0+QRMqkZCk6MxpJXIAX7/d973OW5zznUUxKfhIjbjH6yWazWFpawp07dzAyMsKpc41Gw2ns\nWCzGdVVKHcdiMfh8Pq5BrqysQCaTwel0orGx8aGthVICVKlUQjKZhM/nw+joKJaWlpBIJKBSqeB0\nOtHa2oqDBw+irq4OWq0WsVgMCoWC67ZLS0tczwW+jpylZD0RCLd6mEt/X2TsE4FvfX0dHo8HY2Nj\nuHXrFvx+PxKJBM+sBzZHZFJUKKaqiQ2eyWQQiUT4TBAJclstR1AUq1arYbFYkM/nOfuYy+VgNBq5\n3EBpfLqu9LlozTS2k7IaDoeDSyhbIdZVWt/9vk7OB/EoxM9SLBb53+l0mglr4+PjWFpaQjqdhlar\nRUNDA7q7uznVL5YL6DptlTX/TAF4sVhEOBzGysoKp7La29vR0NAAtVoNYLOee+3aNWQyGWZd+v1+\nLC0tMTswEAggEonA4XDA6XQ+Uq18bW0NMzMz7HnJZJu9inv37sVbb72F9vZ2hEIhvPPOO9jY2EAw\nGMT4+Ph9a8uPw9bX17lHfWhoCOfPn8fY2Bin/MlUKhVaWlqgUqmQzWYxPz/PdTOyTCaDO3fu4MUX\nX9yRtcnlcphMJnR2dsJms6FYLCIYDLLnLU2DGo1G/jc9xESK+jbN4J6YmMBHH30Ej8fD114mk6Gn\npwff+c534HK5mJ36LJiUBEZ/i2At1oLpWuVyOfj9fiwsLCAQCDBg2u12VFVVsU5AJpPhumMoFMLy\n8jI8Hg9CoRDXdw0GAx+clQ5IKfub1kiM8VQqxWnRtbU1lEolWK1WNDU1oaenB3V1ddjY2MDCwgJW\nVlYQiUS4PJZIJBh8xElW0nq3lDH9sINcbKOjlDlFc1SnLhQKWF5exujoKO7cuYOVlRV2Jgh8tFot\n6uvrUVNTw61xIoufdB8oOJLu4VZY6HSW0O+pVCqYTCaYTCYG3nQ6zYQuKoEQQVGq1kZOhdgWJyq0\nidmJR4nAxTS5yDQXyxXkKJEzGIvF4Pf7MTMzg4WFBW7Hq62tRV1dHRobG2E2myGXy8v2Q9oL/rD1\nfntOsh0wSm9ls1moVCp0dnbi5MmTOHLkCAwGAwqFAmZnZ7GwsIC1tTVcu3YNN27cwNjYGDMwZTIZ\nzGYzOjs7cfToUZw8ebIMDLZqVCejiyOXy+FyubB//36cOnUKRqMR77zzDv73f/8X4XCYvc9YLAbg\n64v5OEVHcrkcgsEgrly5gosXL2J4eBiJRII9a5lMxvW9kydPAthkTi8vL7PwAgD2lqempu5hhz+q\nUV3UZDJBq9Uin89zP2UymYRer2d2MonMbGxsQK/XQ6VSlZFtvg1WKBSwtrbGZRM6iEjYp7+/H/v2\n7XvSy9xRq0RgEtOR9LfY502Ra7FYRCQSQTQaRaFQQEtLC5dnKNJeWVnBzMwM0uk0t3ItLi5ieXkZ\n+XyeiUPEWFepVNvmwBSLRWSzWWbAA4BWq4XT6URzczOam5uhVquxsLCA0dFReDweJBIJJoCl02ko\nFIp7SFz3O6TFn5OuU+poiKl3akUS9zAajWJiYgKjo6OYm5vj16Foj6LetrY2dpBDoRCATUIbsaRJ\nwEl06iux5qUmro+iV0ql63Q6JhYTMz4ajSKVSqG2tpZBkxwH0nYwmUzQ6/XQ6XRMAKPomD4b7QGB\n7XZIbGLKXKzz02uLGQFyMAAws97r9SIcDvNZZLfbUVdXB6fTWZbloPNNbHPcSvbgmQLwdDqNW7du\nYWlpCSaTCW+//TZOnTqFzs5OVFdXMwPTbDbjypUrGB4eRiAQQDKZ5Avf19eHkydP4o033kBbWxvM\nZjO0Wu03XptOp8PRo0fR29vLtTm9Xg+TyYTbt28jHA5zrQ/YTKU4HI7HKjoSj8cxOjqK//iP/8DY\n2BiDNwD2zk+ePInXXnsNAwMDOHfuHM6fP49cLger1Qqn08kkwkgkwm00O2XV1dXQarVMVIlEIlha\nWoLX60V7eztqamqQSCQ47Z/L5XD69Gl0d3fD6XTu2Dp2wtbW1vDLX/4SV69eLXtY7XY7fv7zn+PI\nkSNPeom7aiIwSQGIQFVkUBMxSa1Ww2azobm5Ge3t7ejo6IBGo8Ha2hqAzYzG9PQ0JiYmyrgsNpsN\nNpsNdrsddrsdLpcLJpOJOz8eZiLwAJtRo9vt5vOBSGtWq7UsSg8Ggxx1U23XYrGgrq6u7P1FYJEC\nzFaibzECp9ciAp9MJuOM4NjYGHw+H7eIUTudzWZDd3c3Ojs7oVQqMT8/j1AohHg8zucUkcXoeoiC\nKsDXRK/7gY6YbaCfVSgUUKlUUKlUTIqTy+XMRSJwy+fzCIVC8Hq9WFtbQy6XQ21tLVpaWtDY2AiV\nSsX3lNQBvJ9G+sOcDTHSljqZBN4iwU6hUCCXyyEajWJ8fBwejwfxeJyvg8ViQXNzM+rr61FbW8ss\ndul1306t/pkC8JqaGlitVuh0OgSDQUxPT6O/vx+FQgHT09MIBoOYmJhAOByGz+djT5Uinr6+PuzZ\nswd79uxBf38/DAbDI6dbOzo68Oabb2JgYIBbxg4dOoSenh5+TbVazfWdYrEIrVaLtrY2tLa2or29\nHX19fejs7NzJLapo9PB7vV7cunULc3NziEQi/H2lUgmHw4EzZ87g7Nmz6O7uxuTkJGZnZ5kQRHs2\nMTGBWCyGXC6H/fv3o6GhYcfWSdFpa2srWltbMTMzw2Q7mUzGPIZz585hfn6eo/SzZ8/ixIkTsNvt\nnG5/kkZ9wdevX8fy8jIAcHajpaUFhw4dqsisf5ZMPJykBxVFShTZ0NAKOlSphYuIT/F4nFXQ/H4/\n4vE4ZDIZZ2xMJhOampqY1azX6zlq2woDXdo6ZDAYuH6+vr4OpVIJl8uFxsZG2O12JBIJjrIJVFUq\nFfeAOxwOWK1WZliLeyCmpB8UfUv3UvxDn52cA6rZz87OwufzIRqNIpfLoaqqCiqVChaLhc8au91e\nJuBCzo7NZkMoFGL2t8g+F0sBW43AKTCgNLdSqYTJZOI2QJIRDgaDUKlUiMViWFxcxNzcHNbW1lAs\nFmG325FOp5HJZPjcVygUZR0M9L5iy9nDwPF+mQ3xD9WpxVQ+pc5pneFwGMCmk2IymVBXV4e2tjbY\nbDZeI/B177/oIIrOw4PsmQJwki4cHh7G7OwsPvvsM9TW1qJYLGJoaAjLy8tYXl7GyspKWUqjt7cX\nhw8fxiuvvMI94t/UOjs7UVdXh1wux3UoqvGQif2M1dXVsFqteOWVV3D69GkMDAxwP+tuW6FQQCgU\nwp07d3Dt2jUmnlVVVUGn06Gurg779u3DL37xC+zZswe5XA7vvPMOIpEIWltbUVNTg+PHj6O7uxse\njwcbGxtQq9XYu3fvjgJRTU0NLBYL99GSNz42NoaJiQlWifvqq68Qi8VQKpVw9+5dRCIRFAoFdHV1\nobW1FU6n87EK+UiN2P1zc3OIRqN8UDc3N+PYsWPo7OyEyWR6Imt7XFYJdICvU5YE3gSCFFECm+JH\ndLBTligQCGBxcRGhUAjV1dUwmUycFXK73Vxz1Ol096RVpffBA/tu/y+Dp1Qq0draysCg1+vhdDo5\nlUslG2LXm0wm9Pf3o6Ojg7NBRqOxLIKV1j2ldfD7mfgzVOsVZYTD4TCWlpbg8XgQDoeZr0LtTJ2d\nnTh8+DBcLhdKpRK3X5rNZlitVtTX10Or1SKdTjPbn0pT0uzBdkwEfdpDi8UCs9nM7XnU3ra6uspC\nL5QFoHJpPB5HfX09Ghsb4XQ6mWkvcgKkYLydNd4vKhbJZ+QsEYD7fD4kEgnOJFH0TcQ1cmLo+2L2\nZDuSr88UgFdXV8NoNDItf3l5Gf/93/+N3//+90gmkzzsoFQqobe3F8ePH8cPfvADZowajcYdUz1T\nqVR8I9HDKLZ5AMDMzAy++OILpFIpfpjefPNN9Pf3s0zh4+hXjsVi+NOf/oQ//vGPvB5gM+0/ODiI\nt99+G9/97ndhtVqhVqsRj8cxMDCAY8eOobGxkRWdJiYmMDk5iUAgALPZvGvrNZvNaGhogFwux5Ur\nVzA6OgqZTMZDGETGfLFYxOXLlzExMQGr1Yqf/exn+MlPfsItRE/ClpaWcPPmTfj9fqTTaT7Izpw5\ng3/5l3+BxWJ5LI7b4zYxgqb/04EosnnF2jDVFnU6Hex2O3Q6HT/b0WgUcrmcn20AMJlMqK+vZ/1x\ns9kMk8nE5wIRnLZykEujX+Kl1NbWcqsSRU30WtSjTH/C4TBLjzY3N6OtrQ0WiwXpdLoshU0Hucgi\n306dFiiv9yqVSuaD+Hw+eL1eBAIBPmuMRiNaWlrQ3d2Nrq4uNDY2QiaTIRaLQa/Xo6enB3v27GES\nL6WtietCcrB0PcXa8IPWSZ+Pfq9UKpWR1YhgSGRFKntGo1GEw2EGTLru8/PzCAQCWF5eRjqdRk1N\nDVwuFz/b9NqVZE63Y5XS7zRZjuYu0H6HQiHm4VCmgdriaG2ZTIbvJ2rTE1vetgrizxSAk454bW0t\nSqXN1hISHaiurobL5UJbWxt6enrQ39+PgYGBHdXrFk1UkbqfUVolEAggn88jGo1idHQUdrt9R3qn\nt2qZTAajo6PcpwoALpcLe/bswY9+9COcOHGirI1Oo9Hg0KFD0Ol0sNlsUCgU8Pl8AMDs0d20mpoa\n9v5jsRgzPBUKBfR6Pfr6+tDc3AyLxQKfz8c/Mz09jQsXLsDpdOKll156Ygpxs7OzuHz5MveFApsH\nBInVPMsmRkIiSFEkB3z97FCNkchmBoOB+/cJKIlYZLFY4HQ6uT7e1NQEi8XCilhirZuA82GCRMC9\nbGQCBjp8KXqkPl5RO5ymaAGbWS4is9EgEIrCxGh7OyAjggntAzn9JO26vLzMESGlnq1WKzo6OjAw\nMMBiIkqlEvl8HkqlEm63mwl/er0ea2trXK5IpVLQ6/UMPNJU71ZAXGSEiw4Q6ZprtVrIZDJEo1FE\nIhH+bDqdDmazmXU0KGVNn1OclmY2m6FQKJDJZHiPpeWKrUa54rURHQ8p6z0ajbLWQCKRYJC2WCyc\nBaIMDWn33++9tmrPDIAT81DKNqYb0Wq14tChQzh58iSOHz+O5ubmJy7x2dHRgVOnTjERy+/34/e/\n/z3XTIxGI5NQdtqo/p9KpVgcg4hAVVVVaGtrwyuvvII33ngDDoej7HfVajV6enrKvkYCCw9i1O6k\nSUk+RG5qaWnB4OAgjh07hubmZoyMjMDv98Pj8eDcuXMYHx/HBx98gAMHDrC85uMwEgoKh8O4e/cu\nM89JHtJmsz3x+/FxmbQOStGGCOjV1dU8bEMECYriCoUCC5PYbDZ0dnais7MTTqeTa8yiwMhWWb0P\nM0qLE3tY+nlKpc3pU2azmR0KciBnZmbYoTCbzfdEhfQ62zU69MV9TKfTCAQC8Hg8HM0mk0loNBpO\nm/f29sJut0OlUiGXywHYzBxSdE3ZSOqjX11dLQNwIhbSurfCJRCzBcBmOUQUmSHCV6lUYra7Wq3m\nvv3W1lZYLBYG+aWlJczOzrKTQu2FNDRGlE99FBPXK/189PxubGwglUphaWmJRVvIcdBoNMx9oGsu\nvp54zUW2+1btmQFwIjD9v//3/1iBC9jsu+vo6MBrr72GF154AX19fXwDPmnr6+uDTCbDyMgIZwuu\nXLnCfY0Enruh2V4oFOD3+zE0NIRPPvkEw8PDCIfDkMk2VcB6enpw/PjxLTPw7969iz//+c+sjPUo\nNbGtmrQmpVKp0NPTw8A9ODgIu90OpVKJ+vp6TrlWVVXhiy++wJ07dxAOh+F2ux9bj3U6ncbs7Cx+\n+ctf4rPPPuMHl4iLf/d3f4fTp08/lrV8W0yMYETiGjnipLAVDAbh9/sxNjYGv9+PYrHIc7YdDgfr\nitP1pGdb1CaQKmkRmG/XOaaaPLVREeAQaYzS/cBmW2YkEsH4+DgCgQCGhoY4Muvu7uYMAdX8yzYm\nzgAAIABJREFURSGQRzEC72w2y+A9NzfH9diamhrY7XbU19fz4CRSOAO+Zm3TvZnNZpHNZrG6uopQ\nKMSlKWqXElP+21mjmMmgz07Xh8omlJbX6XRoampCf38/ent74Xa7OfpWKpVoaGiA2+3m6Y4+nw8r\nKytwuVxlpSjRwXiUc0n8XdLYpwxEJBKB1+vFnTt3MDMzw1rnDocDLpcL/f39sFqtzHeigIPOL9GR\nFe2ZZ6GTl+bz+XD58mV89tlnuH37NhYXF/nD7927Fz/4wQ9w+PBhtLS0wGq1PuFVf21arRZNTU14\n5ZVXUFVVhevXr8Pv9+P27ducAnvppZdw4MCBb/RgV7J0Oo2bN2/ik08+wcWLF3kYgNPpxNmzZ/Hy\nyy/zpJwHGYm/+P1+LC4uolAoQKFQwGq1Ys+ePXC5XDu2ZjK1Ws2teDLZpp4yKdsdPny4TPqWUq5K\npRKnTp1iTfqJiQnYbDY0NTXt+Poq2cjICN5//318/vnnWFxcBLB5KAwMDOD111/H2bNnH9tanrRJ\nCUGikhfwdV90Pp+Hz+djGWKPx4NAIMBRmcvlQm9vL3p7e2Gz2co07ulglKZ2xb7e7QA4/b40WhLX\nTkBEIzftdju6urr4cwWDQczNzWFjY1NPvbOzEw0NDbxuqSLddo3Y+QQoCwsLTPSkZ7uvrw/d3d1o\naGjg1ispN4E+G40QDoVCTLakNLbBYCgbR7oVkxIVpZkD8eeozq7RaFBfX4+mpiY0NDRwWy1lOhwO\nB6fKC4UCZwoikQhsNhs7CxTZSklo27n+5NiQE0MOZiAQwNTUFMbGxuD1epHJZKDX69HY2Iju7m70\n9vbCarXy9aFMQyVBGunankkWOj2cVPu4fv063nnnHZw7d45FC8j6+vrw1ltvwW63fyuibqkZDAac\nOXOGvdrLly9jdXUVly9f5sEW9fX1sFgsO5ZOJ1GMq1ev4ssvv8TU1BSvpampCX/913+NwcHBh8qN\nUr8rieBEo1GUSiXWLd+tSWo0+9fhcEAmk6GpqQlHjhzB/v377yt5S3X7W7duYXZ2Fjdv3oTb7WZS\nyW6n0oeHh/Hee+9hcXGRe3DVajUGBwfxox/9CE1NTc+U4trDTJoSFzkj+Xwe+XwekUgEY2NjmJyc\nhMfjQTKZZHEkmUwGm82GtrY2NDY2MqFMBEBpylwK5ttJV0qV0igCFVXOKHKkz2Y0GtHZ2ck/t76+\njng8jomJCWSzWZRKJRaWodepxMx/mNHPUSo3FApxWY7qsfTMEBPe4XCUcVVEcKKJX6TE5vf7EYlE\n2DGndDBJq27VKoESXX/6QzwWq9UKrVbLLXtOpxMGg4HLJxSpU3m0tbUVq6uriEajWFtbQzAYhN1u\nLyupbsfZkJq0f53um1QqBb/fj9nZWczPzyMej0OhUECn06GxsRF9fX1ob29nHXkS2KH9EP+m/dgq\neANPKYATeJ8/fx7vv/8+bty4geXlZW7VymazPHHoSbUKbdUUCgWamppgNBrR0dEBuVyOa9euYWlp\nCUtLS/jss89gMpnwxhtvwG6374iaWCKRwMLCAr8PGQ0DaGlp2VI9Np1OY3p6Gv/5n/+JS5cuIRQK\noaamBseOHcPf/M3fwGq17gowOhwODA4O4s0334RWq+Ue/gdlV+RyOZxOJ3p6enDnzh1cvXoVDoeD\nD7Pddu7W1tbg8Xg4jaZSqdDY2IiOjg40NjZ+K53L3TaRwEbEpo2NDdYvn52dxa1bt5h9rNFouP+7\nVCpBo9Ggtra2TM6S2MwUdYmHoFin3q7R71L0JRKQRB1r+lwk1ETCQ7W1tdDr9ZiYmMDS0hLPeidi\nXm1tLRQKRVlUtt29JAeBJl8FAgHEYjEmpxHRz2QysZ43AP43RaskiBQIBDA+Po7JyUn4/X4Wr2lp\naYHdbodWqy2bfLbVdRKDm5wsel9yEDo6OlhSlbTDbTYb1Go1Dwyh16COGb1ez6I61DZnMpngcDh4\n7Ol2TdrWR9eE7q+Njc2BJWtra8wPEMl2JMVtMBjKOg1o7bQH0vcR9+ph9tQBuN/vx9TUFG7cuIEr\nV67gxo0b8Pv9cDgc2Lt3LwwGA2ZmZjA3N8fKS9+28ZGiUSRGTNmf/vSnsNlsuHDhAg9W0Wg0aG9v\nh1wu35ESwK1bt/Duu+9idna2bNiIXq+Hw+FgNaT7GWkVf/XVV/joo4/wxRdfYHFxEevr6zAajejq\n6mKW+m44UCSc8dprr7HTYTQaH9gWVlW1ORfa6XSirq4OIyMjuHLlCux2O773ve/tmrNBo0JJL55S\nZVqtFkeOHEFHRwfr9P+lmDT6Bjbr1ZFIhPXOp6enMTs7i0AggNraWmbwejweFItFbg/TaDT3RC1S\nYhC9x1bbx8gqtQ2JjPFKoC6TyfjnaA1arRZut7ssjTs/P89nGZEpzWYzr3c7IE7vRZ0sKysrZeBN\n7G7i/lB9m7gGYvS/sbHBCoeTk5M89S2fz6Ourg5NTU0ccNBrianxh61ZJBPSz4ufmdr0SFpUr9ej\ntraWzyOqP1PWg0CQ2oDVajVWV1fh8/m471/ar75VqxQNE4u+VCoxKZWm0a2vr7O2CDkdSqWSsy3k\nfJCTJpYQaG+2W0J5agCcNmB6ehrvv/8+3n//fU5H6vV6HDx4EMeOHUM2m2Xd4f3796O9vR06ne5b\npYNdyaqrq2GxWPDaa6/xkBCv1wufz4evvvoKR44cgdVqhdls3nargdRu376N3//+9wiFQuyFA5v9\n1Q+LBvP5PBKJBObn53Hu3Dm8++673EJGY/I6Ozt3pZ5L90AqlUIqlYLD4WAy01aFWSg9l81mMT4+\nDpfLhZMnT8Jisez4eqm15IsvvsDs7CxfN5vNhr6+Ppw9e/aZHRVayaSHJx3cFDkuLS1hamoKExMT\nmJ2dRTAY5LJOX18fp4hTqRTLllI7Fh3qInCKYEuHsNgHvpX7RfozYjQmam6LcwtEdjER0wjwqLZP\n6d6ZmRmu32u12nvKKNL06v2M6qvUykSkM2Azs2YwGMrmBRCYiTV8IrR5PB6Mj49jbGwMs7OzyOfz\nnIJvamqCy+XiKXDSvXwYiIvRt/g7xAugYTSUhq6trYVOp2MNetIFEPvJq6urmT2vUCiQSCQQDAYR\nDAbR1NTEYCl13h60n1LnTfo1GrW6urqK1dVVJgmSYEtHRwdnTCkbTAI7IttcfAaeaQCnw/DWrVs4\nf/48vF4vstksjEYjzpw5g7fffhsDAwP46KOPoFAo0NjYiJ/85CcYHBx84tKZ27X29nacPHkSly5d\nQjQaRSKRwKefforGxkZ0dXV941p4LperOB60qakJBw4ceOCs7NXVVdy+fRvvvfcehoaG4PP5UCgU\n0NTUhEOHDuGNN96oON5zJ4xKJ0NDQ7h69SpWVlZw+vRpfPe7331oBF7JSBBmt0RT0uk0/H4/bt68\nCa/Xy4f6j370I/zzP/8zLBbLrmgQPA1GdeSqqirkcjl4vV6MjIzg7t27WFpaQrFYRH19Pfbu3Yt9\n+/bB7XZjfHycxZra2tpYdYvGTFZKm0ujfWk6dCvrpLUSWIgKbtRfXl1dzcM0gK/TrAC4Bq5Wq5HJ\nZBAOh+FwOLjlaGFhgaVVxWl524kWKSKMx+MsL0siIyaTibXgSUGNSg0ymYyHs0QiEfh8Pty+fZtn\nnZdKJTgcDrS2tqK3txd1dXXQaDRM2qOyxVZItqJTQ0NMKBWdzWZ5AEggEEA6nYbJZILT6eQ+dTFi\nr9R2Rs4BaeBTT754zbfKLxCdPvH+IWeDwDsYDPIsdQpgDhw4wDMvqqqq+PtiyaASgW+74A08RQAe\niUTwu9/9DufPn+e5yXv27MHhw4fx0ksvYc+ePSiVShgbG0M8HkdDQwN6enqY6PSkjeRKaaxhLpdD\nS0sLWltby24W8jRp0hExHUdGRjA3N4dkMvmN+5fFHlxg84ChwQAtLS0MaHTzJhIJrKysYGRkBKOj\noxgdHcXNmzexsrKC9fV1mEwm7N+/H6+++iqOHDmyK8zzUmlzDvONGzfw8ccf48KFC4jFYggEAvD7\n/Xj55ZfR3Nx8XwlSkpS8c+cOhoaGkEqlWElJTGPtpEWjUczNzWFycpKnOslkMmYn/6UaASEdvOl0\nmsd++v1+1NTUoKmpCZ2dnRgYGIDZbEYmk8Hy8jLW19fhcrnQ0tLC2Sjg6zq6NOKmdKX4va2ohknX\nS6AtpuOJTLe+vs4jQ2OxGAuJUH2eADmTyfAITiJjZTIZRKNRJJPJMlLZds+sUqnEUwCz2SwrkCkU\nChgMBpjNZhZBUSgULDwTi8UQiUQQCAQQDAaxvLyMiYkJRCIRbGxs8HSyrq4ulgEFwEQyMQjYyp6K\nIEV1b5rcOD8/j6mpKSwuLiKdTsPhcCCVSjGjn0qh0gxHMplkNjjJJgO4BxxFgqGYHq90vcV7SEzb\nV1VVcbmHiIK0VySnW19fz3K7NONC1H4X30cadUuzqw/b06cKwN99911cu3YN6XQaTqcTL774Iv7q\nr/4KnZ2dPIlseHgYKpWKZQCfVH1RlPWkKOP27duYmprC0tISkskkXnnllbLm/nw+j7W1NYyMjOD2\n7dtIpVJ841HqkLTVd9KoP9TtdsNmszGpJZ/PI5VKMWv7T3/6E0ZGRngQDJFOenp6cPLkSZw8eZLb\nU3ba6JC8cOECPv/8cwwPDwMAA3h9fT0MBgOzfWnfKO1Gn+PChQu4evUqe+jJZHLL6dTtmtfrxfXr\n13mkJD2c+Xye1eOUSuUzKZv6IBMBnK4B9e+mUilOme/fvx8ulwuRSAQLCwtYWlqCQqFAS0sLGhoa\nOLUqMplpj+keFvWwRRDfqtEBS79Lqd5UKoVsNss1b6rdr66uwmw2o7m5GaVSiaVfi8Uiq3TRWFFa\nnxQIRbb0Vu9NAhopSFE7lk6n4yl+AHhkJ7WbeTweBINBZnAT36azsxN9fX3o6OjgDAGl4MXruR0T\nJV/lcjnPcl9YWMDExATm5ub4vlCr1XC73TCZTMypER2VTCaDZDLJ5YhAIMCTwUgPHsA9+/ygfZWm\nz6UaAqK+PEn6rq+vswocjUSl39NoNMxRIMdKvG6iE1op8n8QiD81AE7zaROJBHQ6Hfr6+nD48GF0\ndnZiZmaG+5mLxSLOnDmDn/70p09U2Wp5eRm3b9/GtWvXoNVqUVNTg/fffx9erxfpdJq9OpqItL6+\njtXVVXz66acYHx+H1+vl2ccGgwEvvvgiBgYGdkXDW5oaXF9fRyKRgM/nw507d/DRRx/h4sWLiEaj\nyGQyfGO63W4cOXIEv/jFL9Df37+rrXr5fB7BYBCffvoppqen+cY2Go1wuVwwGo2Ix+MIh8M8MSmZ\nTGJ0dJRJJouLi/B4PEwq2e3MzNWrV/HLX/6S5wEDmx744uIirl69CmCzXPKXVAcHUFb7k+pHV1dX\n88jN6upqeDwezM7OYnp6mueA9/T0wGg0AgCPmyQW+sbGBpOytktak5r08N7Y2EAikYDf72dpUmAT\nHJaXl3kEJzkdsViMhZDS6TQPW1lbW4Pf72fSp9VqhdFoZMnY7ab5xZ8nHXQimBEo0D6vrq4y+Yp6\n7Ofm5rC0tIRcLgeZTMbKZ21tbRgYGGDWOe0pvS7ty3ZMlHylZ5gyEfF4HIlEAqlUitPzxLkJBAKI\nx+PI5XJIp9PcUphMJpFMJrn3PRAIQKlUwmAwoLa2lnvdxVHNW10z/ZzUWaEWx5WVFYRCIaTTaVRX\nV7Po0NTUFDweD7PRGxoa+B6lFLpUwY6uU6Ve9QfZUwPgRP6gC7u8vIxPPvmERR5GR0extrbGYh7N\nzc1PJLIhktXQ0BB+97vfYXp6mhWaaMY23RBXrlxhrV+qq0xMTGBtbY3VkcxmM3p6evDKK6+gt7eX\na0E7aYVCAYFAAFevXoVKpYJcLsfy8jJmZ2fh9XoxMTGBhYUFAJsRo91uR3d3NyufHTx4EGazeVcU\n48hIEtdms0Gn0yGdTkMmkyGVSmF+fh7vvfce1Go11/NILYtUqNLpNOLxODKZDNRqNfbt24djx47h\nxIkTu1aHNhgMcDqdPA+anIZbt27xYXn06FGcPn0anZ2dD+QePAsmkpbo33SdiMBE12lxcZEZ1Wtr\na8jn82hoaEB7ezvq6urKWOGUwRJZ4lKgkEY3WzUx9VooFJhsNz4+jsXFRU4Fk5RwIpHgumwqleLa\neDKZZBEaWjPVd9va2rjdSTzYt0q4qhRxEzeAAG91dRVKpRI+nw/xeJzJVysrKwgGg0gmk9Dr9Vwr\nb2xs5BIfPdtiy9c3kSgV0+AiCU4ul3MUS1mLUCiEsbExLrfQ14lEJn5GGtTidrtZJ4LkdKVZy+2c\noWJELL0mCoWCcSaTyWBxcRGpVAoymQx1dXVob2+HxWLh3nrSOyDnVXSItkoEFO2pAXCKVomWPzEx\ngfn5edTU1CCXy0Gj0aCzsxNnz55Ff3//EzsMKcU2NjaGTz/9FLFY7L5DEyYmJjA+Ps7/p4NGpVIx\nw7arqwtHjx7FqVOn0NzcvCNseqVSyaL6VEcKBAK4cOEC5ufnIZfL4fF44PF4eF1US6Pe6ZdffhlH\njhxBT08PRw67aQqFAhaLBYcPH2ZlKDpQx8fHMTs7CwDMppU+aCR9qFAo0NDQgDfffBOnT59Gb2/v\nrgmotLe348UXX0QoFGLpTZlMhrGxMYyOjnI6rrm5Gc3Nzc88gJNVShPS/ZPNZnlKm0wmQyAQgFqt\nRkNDA7q7u9Ha2gqTycQ1WCmLWjyYRYGYR+E40D1EfxM/JRaLsXhHqVRi+VYaUEHZIqrH5nI5Jo6q\nVCqYTCbY7XbU1dWh+f8Yyw6Hg+9DUTRkKyl/2kc6O2iICjlE4XAYcrkc8Xico0caK0rtZFqtFo2N\njWhvb0dDQwPq6urKesbF1i+x40N0NLYKOqKTAmzeD7QvZrOZZ4FT1pWyBsQRoHY9cdpXVVUVNBoN\nLBYLjw2mPRUBXNzP++2rCNR0D4n6ATSohtZLPI5kMomlpSUuQVRXV8PtdpdlicQhMCIuVKp7b2U/\nnxoA12g02L9/PyKRCGZnZ9l7oYP5yJEjePvtt/Hiiy/yvN0nYcSSbWpqQnt7O0ZGRjiafpjRA9jb\n24uDBw9i79696O7uZgnYnQKa+vp6DAwM4KuvvuJaLACsrKwgEolAJpMxmxb4em7wa6+9hlOnTmH/\n/v3c3kEPyOMwo9GIs2fPIhgM8oNCka04WEJqtK8OhwN1dXUYGBjAd7/7XSbs7VYqvb6+Hvv27cOV\nK1eYqCQeeBsbGzzQ5i+NjS4ehnq9HvX19QgGgxyB02hIuVyOlpYW7N+/H3v27IHZbGYSJjlkFJlR\nP7ZYD5Ze22+SUq+urmaQcLvdnCYX2diUAqeMAtVjjUYj7HY7bDYbXC4X6uvr4XQ6YbfbYbFY7gFv\noLwm+jCjCJb6oXU6HaLRKCvXJRIJqFSqsnUZjUY4HA6YzWa43W50dHSwiBMNNAHANW8peD/qPpLR\na9Lwl8bGRp4yl8lkmIwnGsm3UuamqqoKWq2W55bTuet2u8tEfmg/aa8eZqKDIaa1ZbLNnnOXy4V4\nPM68JEr9U/reaDTCYrHAZrNxZoXuUZHQVomJvp179KkBcJPJhDfffBNqtRpXrlxBKpWCVqvlB+L4\n8eM4ceIEHA7HEyUFUbR66NAhAGCSw8rKCi5duoRMJgOVSsUXmogZpNzjcDjQ/H+D3xsaGmC1WllC\ncKeAZmBgAD/+8Y8BbA4hCQQCAMBykMDmYVVbW8ta0319fSzD6Ha7d3Q9WzF60AnwisUipzFXV1e5\nNk8OFJFt4vE43G43+vr6cOzYMdTX16O+vh6NjY1bHtTyqGaz2XDgwAG8/fbb+NOf/oQvv/wSMpmM\n9xQADh069BczhYxMPKTkcjlqa2vR2dmJjY0NmEwmPpjVajUsFgtrCxDrPJ/Pl3UOiKl0UaWrUgT7\nqKBD4GUwGNDc3MxT0CgbRFEjqZ5RHVqsx2q1WpjNZlgsFlgsFlZho9KTCN70nlsFcBIqMplMcLvd\nSCQSqKqqYlIXiS/lcrmyrhMaBkLOBIGe2FNPf6SRs3gtt2uiI0v72tTUxEGZSqXiUiIBH6XvKYIl\nx8jhcKChoYGHtFCZjXgAtJfivj7IRAdb/GwEvnK5nGvb0WiUQTybzXKWUsysEOtf5GSIjpDUIdrO\nfj41AK7X6/Hyyy+zt7W2tgaLxYKWlhYWDrHb7U96mfzA9ff3o7u7G6VSCbFYDOPj4/xvvV7Pqmek\nAEbpKwKW3awn9/T0wGw2I51Os7yj1GhQwHe+8x2cOXMG+/bt27X1bNXkcjlsNhuOHj0Ki8WC4eFh\n3L17FzMzM0xcUygUcLlcUCgUyOfz8Pv96O7uxpkzZ/Daa6/BarWWtfbsphmNRnR3d7MwDzHRX331\nVbzyyiuQyWR/cQQ2oHwwRE1NDQwGA9ra2qDRaFBXV8dkNq1WyxOdRPAuFotl0SG1AlJfszQCl0Y5\nWzXpz9OaVCoVbDYb2tvbsba2hkAgAK/Xi3A4zOU8Yn3rdDpYLBaYzWZoNBqo1WqoVKqyspPIkH5Q\nS9GD1kk64rW1tZxOJzChlkkCII1GwyNYm5ubWe6TshdUZxavF/0tptIfxaT1ZJF4R0Q5Uo2jjCCJ\nuwCb5xJlZuRyOU9Xo2CHBHOAcvJZpev5IJOuke4pYHPkqk6ng9PpRDKZxPr6Osu8UnaG1lRbW8sE\nSOnUMTGy3w5xrewzfdM0yA7aAxdCm0isw2KxyBeealC7CXrbNdEzpcEAq6urXLcjqUDRmySvfauq\nYt/EqBUikUiUjV0kowPRYDBwpPBtsXw+zy0kFFVIyTAiM1mtVkOv15eJvWz1cPymRgpZ4XAYkUgE\nwCaw01Qlun930J686IHEJicn73m2RVCliJmuKdUMSQKUngmxZYxqiHRIi6IgpJAmpii3k46uZCI5\nTqyrE4EqFouhUChwLZbuP2l7Eb0W/V2JsEb7I/79sLXRexFzm54LqWgK8TBob0nGmQBK/L5Utxv4\nOq3/KCx06ecWnRWx1lwoFLjNTvpzwNeZwo2NDSiVSlaxI3Cne4oyB9KswXZMfB36/CTeQ8RjItMR\nCY+eZ1HMh+5Vqo2La9xq5N3V1XXPZj81AP7cnttz25I9FQAOlB/+dEhSlCKdE06ALAILpSXF+dQU\nkRPgSCPwbwLgQHkPM9ViSYGNnA6Kxqjvl2r19PNiH7U04pbuy1YBnPawEuCIs7tF54bWS8Ap8ooI\naESHiNYj7uV291MKVuQYSbMkUsCVth6Ka6XrIS2ViHv8qDgn/V3aMwJgugeBr+V0RU6OlEApkn3F\n8sRWrBKAPzUp9Of23J7bs2ViJCamZgmk6TAU0+F0YBNXQxrJ09dEMNzJTAutld5f7HqgtYgHM61f\nnL4lAvj91rqdNdPP0n6JgjXkBIn7I+63CMZiapd+Thr9ftO9vN/rVCLGic6I9L4Q++XFtUq/9k1N\nvCaiE0HOpkjuE/kX5FzQ98R79Js4FFJ7DuDP7bk9tyduYkRXKcUoSlmK0bB4wErT3GKtdidAvBJT\nWOzlJSAXp5GJDgYBI6WyyXazi0MkTlF6WsrKFj+f+BnF9K40Zb5TTtGDsg2icyeTycqGoFS6FrtZ\nEpNG9yIBT7y2UmAWHblKn+ubAvlzAH9uz+25PVGrFHmKhxyAiunVSodqpShcfJ9vskbxvehv0eGg\nP9LaruiMkIngudvrFEFc3MdKUWGl339Y1PxNTHxP+rcIatKUvciGF9co/fdOm1imoP9L3/t++1wp\nRb5TUfhzAH9uz+25PTGrBAL3Yw9L65rA10BYqaa820bgTWnrh9nDHIzdNlqv1B5Wg93ttd4PhEUC\n4lZ/fjftfqBb6evimh+VQLcVew7gz+25PbenxqQH5beIhPvcnttjt+cA/tye23N7bt/A7hf5PalI\nsZI96D2fxHq2ag9b27dx7dvpHNjqz9/PngP4c3tuz+2pMCmT+n62lcNxpw9+KYtaJI5JyXVirfxx\nZRAeZ2lhp0y6Nw+qz9/vdyr9zG6ZlL8hcg3o69LWMZE78SBC3/3sOYA/t+f23L71Vol5XInMRsxe\nOkAr/dnpdQHlJDsAPMRElPgl2VSFQsGELBJPeZylgEo98ZWcifuB47fV8XhS5RSxDa8Se58UAknO\nNp1Oc584KcpRi9x2OxKeA/gTtPn5eUxMTGB2dhY6nY7lVC0Wy67rdD+3b6fRCNTp6WnMzs4iHA7j\n2LFjOHny5GNR6HvSVglEpCxksWdcOlua2rqkrHSRDEU/uxN7KVX62tjYQD6fRzQaxdraGsLhMEql\nzYlldrsdVqsVJpOJx2MSiEvJbTt1naWgSyAjBW8pCVC0StHhbmQQ7tdVQOuWfo9+5359648z8q4U\nZYtiRIVCAYlEokweVqlUskKkRqO5p5NhK+t/DuBP0CYmJvCb3/wGly9fRm1tLfbu3YuTJ09i//79\naGtrY0nQ5/ZsGx06iUQCPp8PQ0ND+Oyzz3DlyhV4vV7867/+K1544YXHPkDmcZs0PS62L0kPyFKp\ndE/UUqm1R9r+I23tEt9nq+sTTRQaAcADdLxeL+bn5+Hz+VAqlaDT6dDU1MRyqwaDgdcgTbPv5DWW\nOj30NeneiPtT6TpI5Wh3mkwodVwqORRihEvflzq1uw3gW8lSiABOe5VMJuHz+TAxMYGVlRVks1lY\nLBbU1dWxUh9puG/HngP4EzSv14s7d+5AJpNhaWkJ8/PzuHDhAv72b/8WP//5z1FXV/dEJ6s9t8dn\n6+vrGBoawh/+8AdcunQJPp8PqVSqLAX3l2BSEBYBrVgs8jATaocqlUr8NVFaU9SrFsVW6ECt1J70\nqCaTycqkXKPRKCKRCDweD7xeL/L5PFQqFYLBII/37Orq4qgrn8+Xib5807WIf4uRnPj5xVKDtORA\nmvKiNjq9pjRdLJYzHhXE6VqIYCxKlIpSuSRRK6qzUUlCHGwjXt9vqoe+XRP3h+R0PR43krF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RIAAuA90Wq1MJlMsFqtcDgc3FZLQJ5Op9mhoDNRp9PBaDQyYNIa5HI5p9gJ9KPRKHK5XNn+ibX6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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f2f82bfbb38>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(7, 4))\n",
"plt.subplot(121)\n",
"plot_digits(X_train[::2100])\n",
"plt.title(\"Original\", fontsize=16)\n",
"plt.subplot(122)\n",
"plot_digits(X_recovered[::2100])\n",
"plt.title(\"Compressed\", fontsize=16)\n",
"\n",
"save_fig(\"mnist_compression_plot\")"
]
},
{
"cell_type": "code",
"execution_count": 41,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"X_reduced_pca = X_reduced"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Incremental PCA"
]
},
{
"cell_type": "code",
"execution_count": 42,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"...................................................................................................."
]
}
],
"source": [
"from sklearn.decomposition import IncrementalPCA\n",
"\n",
"n_batches = 100\n",
"inc_pca = IncrementalPCA(n_components=154)\n",
"for X_batch in np.array_split(X_train, n_batches):\n",
" print(\".\", end=\"\") # not shown in the book\n",
" inc_pca.partial_fit(X_batch)\n",
"\n",
"X_reduced = inc_pca.transform(X_train)"
]
},
{
"cell_type": "code",
"execution_count": 43,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"X_recovered_inc_pca = inc_pca.inverse_transform(X_reduced)"
]
},
{
"cell_type": "code",
"execution_count": 44,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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585iYmGARUrFYxOrqKv7nf/4Hc3Nz8Hg8eOutt3D69OknJhAjpuarr77C7du3\nmVOlUCgwPDwMu93+zBvvnSCkzWlRFHa/4v8mzG3TbmRGo5EJhoiWBu5HiMB9AVqnzwpP99LnSHeR\nSCQglUphtVohFouZEpqc41QqhWw2y8auUCjgcDgwOTmJ48ePQyaToV6vMzU6MUZEse6n5JWcDCp/\n4p9tEsWpVCq43W6MjY3B4/G03O+8caxUKsyp3NrawtraGvx+P9Mi8PQ+MU7Cxiw7gdIJpF6vVqus\nwxuJaqljJt/hjErvaFe0np4e9Pf3w263o6enBxaLBQAQi8VYzwXS8dhsNsYk7iUSo2tM1D45kXTO\nQrEe1cmTU0mvk0agXC4jFovB7/fD7/cjm80yUbXD4YDZbGZRPuXG+RLIvfBcG3CaZJlMxmoVDQbD\nY1kMs9ksQqEQtra2WF71/fffRzQaxerqKkKhEMrlMmQyGV544QUYjUYUi0V88MEHcDgcOHr0KMbG\nxqDT6Q58bD6fD9euXWPlDDzEYjHUajWjpvZCPp/HN998g7m5OYTD4bZKbqKbO2U/qL721q1buHbt\nGpaXl+Hz+eD3++H1elsazohE23Wder0ebrcbw8PD8Hg86O/vx8DAAMbGxpi4qFwu4+bNm/jjH/+I\ny5cvo1arYXJyEmfOnMHAwMCBiuz2A2rwsrS0hGQyiVqtxnJvx48fh8vlemJjOyzwkTDRhbwgi6Jm\n4D7FKywLI6rdYDDAZDLBaDSyVsVUwgXcN277ib7pc+0iS+qLkEqlGNM2Pz+PbDaLra0tVhdOHbZU\nKhXL3ZvNZrhcLoyOjrJObjy1S5URpVKphUbtZKzUJY32UiClM99URKFQsA1f+LatxHLw9ef1eh2B\nQABra2sIBAJMZEbfRXoPyi93kgOnNFg4HMbm5ibTL6RSKUSjUWSzWZaKonGq1WqYzWZYrVbYbDaW\n6yZqn4KM9fV1llZrNptwOBzo6+tjGyrtRZ8L7w+iwGkueEElRfJ8WRkZYD7VUigUEAqFEIlEWBrA\nYDCgt7cX/f39sFqtkMvlLczHfhzM59qAA61eOu11+zgirWQyiY2NDVbaFQwG8dVXXyEcDqNQKMBk\nMmFkZATHjh3DuXPn4HA4EAgE8NVXX7FShMMap8/nw9WrV9vWfu8XxWIRc3Nz8Pv9bbu1Uc2p1Wpl\nXnInx7x79y7ee+89vPfee9jY2GBGmygtorUo/+VyuXD69GmcPXsW09PTsFqt7MGm3ODm5ia+/PJL\nfPDBBwhx7VheAAAgAElEQVQEAhgdHcXExARGR0dhNpsfeS4eBkTH3r59GxsbG8xo2e12zMzM4Pjx\n43A4HE9kbIeNdmplur60oAnFY/zCSY4hNUShaIlyq/xiuJ9nSVjmRgac76DFl2iRqpyMLwmn7HY7\nhoaGoFKpWF22SqWCXq9nZUN0X9O5EdtGteD7MeBEocfjcdZnn5xm3kDwzWh45oMMFAnqALDcLVXE\n8CwJnYvNZtu1xJHXIlD5XCgUwtLSEoLBYEvKgQw31cobDAZWatXb2wun0wmTycQ63lFePhgMYn5+\nnnWVpHx4b28vc6J4p3Cv6847lfQ5YnJ455Bnj+i+EzI1fOkqNdDp7++Hy+VirBGlFMhedQ04h3q9\nzjomPa7tRCnSrlQqWFpagt/vR6VSwfj4OP7yL/8Ss7OzjB7V6XTMexaLxYjFYlhfX8fY2Bhrr3iQ\nSKVSrNTqsOHxePC9730P3/ve93D27NmOPpNMJvF///d/+OSTT7CxsdHSU5oU5D09PRgdHcXMzAxm\nZmYwODgIk8kErVbL6CsCpTM++eQTfP311wgEAtBoNHjllVfwi1/8Alar9YlFuLlcDoFAADdu3MDm\n5ib7+5kzZ/CLX/zise1I97jBC7Uob0j9wCmaI30FGWoqD6LIkZpg0H7Xfr8f/f39bDGt1+uMCt0r\n+moH3vDwm2pQbTJtYZrP56FQKGAymTA1NYXp6WkW+dntdmQyGSwuLkIsFjP6OBwOQ6lUMsWxUqlk\n9y05IkKxWCfjJbU7AHYsKk8SphTo72SUiBbnjRZFjTQ+ei8J3JxOZ4sh2s3hIBaC2Mm1tTVsbW0B\n2Hb0LRYLzGYzE55ZrVY2hxaLhfXx4MvyKpUKEokEbt26hVu3bsHv98NsNsPtdmN0dBR9fX3QarVM\nU7SfMmJhSRcZVp4tEqYeqOwO2C6xXVlZgd/vRyqVQrPZhEajgd1ux+DgIOx2O+u+R8EP//lO8Mwb\ncGoWTxeFSoPm5uaYYIAaenz22WfQarW4cOECmzjqotOuNvtRkEgkmNGmcobZ2VmcOnWK0eNms5lF\niaRGtVgsqNfriEajh2ZgSWQBPFptdjAYxI0bN3Dv3r0ddzEbGRnBa6+9huPHj6O3t7ej41JUSgIW\nADCbzejv78eRI0cwMjICt9sNm80Gl8vVsqVhO+RyOayvr+PSpUu4e/cuFAoF3njjDbz88stM3f24\nDTjlGD/++GP87ne/g9frZdShTqfDwMAARkdHH2vjoccFfq7pXqS9tIld4aM1Wjzj8Th8Ph+Wl5cR\ni8VYD+poNAqv1wudTgeNRsNykRTN8WVU+zHi/PtpbKQup65qSqWSGZmBgQEMDg7C4/GwmmOKZumn\nWq2y3trkVFAbzWazySJZev9+rz3PTggZDJoDugb81pV8vTfl0n0+H6LRKOub3mw2WatQg8EAp9OJ\n0dFR9Pf3MwO+F4VOOW9q0arRaBilTE4PGWvqLU8bv/DlZsQgkJjw3r17SKfTMJvNOHr0KGZmZjA8\nPNyinm9nwNuNl17n27nSfNHr/HH4+4Q652UyGfh8Pty7dw9bW1usQob2VSfHguaU0kF0zfmU0W54\nJgw4qRZ5uonoJ1JU0w24urqKpaUlzM3NsWYJzWYTiUQCt2/fhsFgwOTkJLRaLcrlMoxGY0tjkoNC\nPB5nwg+Hw4GzZ8/in/7pnzA9Pd221lgqlUKtVsNqtaJarSIaje6rHnA/IOprp6Yr9Df+YSfQzVso\nFHD79m386U9/wtzc3AMGnOopR0ZGcPr0aTidzo4jSUp5GI1GZDIZaLVajI2N4cSJE3j55Zdx9OhR\n9Pf373kcKtNbX1/H1atXcfXqVWSzWYyPj+NnP/sZTp8+/URqqyly8Pl8+OCDD/DrX/+avUb95ymq\neV7FawTqtkX0KZXrUHkY9fGm93q9Xty7d4+prMnYxONxxGIxZvDpuSGjBHRePsaDjkOLa7lcRiaT\nYUGDxWLBxMQExsfHMTAwAIfDAa1Wy4wU0aN0bhSBUoMQaqVarVZRKpVa1On7ufa8foBPNZBzxPfv\n5vPc5CgplUrIZDLWg8Ln82FhYQFbW1usR3oul2PnQqWjw8PD6Ovrg16vbxEQtgNfVUIlbXa7HW63\nmynjLRYLaylMazrVR5Oojc6XdvqjKFcikWB0dBSnT5/GxMQEHA4HSw2Qs0ef5X/vdN35+4gv86PA\nSqjCpzmlXQRXVlawurrK+swTy9Db2wubzcaqAPjInU8fdXKvPhMGnHZvWl1dhVgsZi0+19bWcP36\ndWxtbcHlcsFiseDLL7/E2toaNjc3USgUmPeu1Wpx6tQpvPnmm/B4PIyyJk/5MMbs9XohkUjw+uuv\n4+/+7u8wOTm5IyVOD7hWq2V1o7T71EEbcKK12zVdIS95t+g/l8vhxo0bePfdd/Hee+89wBbQZifj\n4+MYHR2FyWTa12Ikl8vhcrkwMzODqakpXLhwARMTE3C73TCZTB2nFUqlEubn5/H73/8e77//PtLp\nNM6cOYOf/OQnOHbsGEwmU8djOmikUil89NFHuHv3LvsblRRduHABR44cee72TxeCjAc1ZKFaWolE\nwqLcRCLBngHaujOTybDe88RY2O12uFwuZkjI0LRTR7dzTHcaH9/+VCQSsf7Y1P7U6XTi2LFjLXu1\nU390EjyRw6zT6Vh3NGC79z11EyOlOG9c+Ih5N/C0LpVOkrPA13ZTS1dKL1AznHK5zDY6yWazWFlZ\nwe3bt9kWw+RoFItF1vfB4/FgeHiYOZr7UcyTqJii0f7+fvT19cFgMDBHgpwtvjSw2WwywV+lUoHX\n68XNmzcxNzeHTCaDoaEhHDlyBOPj46w1MvUGoJK1ToWMdM9RMMP3JuDnnH8vrzq/ffs2FhcXEQqF\nUK1WIZfLYTQaW86V2A5iQIQ91p8bA04XwOVyQalUMmqlr68P9XodIyMjLfnPW7du4erVqwgGgyiV\nStDpdHj11Vfx+uuv49ixY+yh4W/8gwY1l3A6nZiensaRI0fYhhTtQHWabrcbfr8fPp8PuVyOiUoO\nEjabDSMjI7h+/foDBjyfz+PKlSusY5xQUEEe+h//+Ed8/fXXrBsSj/HxcZw9exYvvvgii3L3QwVS\nmmNqagoikQhjY2MtStJOrhdtcPDOO+/gk08+wdbWFqampvDqq6/iBz/4AXp6eg51n/XdEIlEcOvW\nLXzyySdYW1tj52OxWDA9PY1XXnkFo6Ojj33TnScBYbRMDjUtbhRRUkMMKi2kZh0qlQqjo6OYnp7G\nyMgIDAYDY65owe2km9lOYwNahV7UGrlWq0Gv16Ovrw9utxtGo5ExPlRSRLQvAKamjsfjLH9OTgZR\n2bzBAO6L5va633ljQhtpaDQaVo5I60epVGJlbsT4EbupUqlQrVaRSCSwuLiI1dVVhMNhlMtlZviU\nSiWsViuGh4cxPj7OjDff3Ww3o0NBCjWnkkgkcDqdMJvN0Gg07BwoyhZGtqSFKJfLiEQiTHGeTCZh\nt9sxOjqKkZERaLVaNBoN5qzwEXQna0c7ip1v08sfhx+bWCxm4uW1tTU2fxR5DwwMYHh4mK09VGnA\niwZ5mr+TsT4TK4RMJmPlF7QbDgD09PRgamqq5b2nT59mwpGbN2+yfXp/9KMf4dy5c4x6pck5rD2W\nKTqYmJiAx+PpKNpTKBQYHR3FtWvXEAgEWJ7ooA045Zwo98ufP5WFAdssgtCzrlarCIfD+Oijj1o2\n3ADul6CdOnUKf/3Xf43Tp08/VBmcVqvtWPC2E2i3satXryISicDhcODVV1/F7OwsJicnH+nYj4pA\nIIBvvvmGsUf0EA8PD+PcuXM4c+ZMx3qBZx1kwBQKBYseSVlOTAtFZZTySSaTCAaDrCRnfHwc4+Pj\n6O/vb6E3eSoZeLB0bS8IozUST1GkazKZmMpZLN7eC5oCBnpm6dkidk0k2t7li3bKonQab7zo+/bj\nfJAB0Wq1sFqt0Gq1LeJAikYDgQCAbaGoRqNhLAippskApdNpVkdOBsVisWBsbIzpUCwWCxPCtSu3\nE4JSlRaLBRaLBVqtlvViJ2qdF9HROQkFiFSG5vV6kclkoNfrMTU1hcnJSTidTkavk/EmaroTJ4Pm\nUljOJWzYQu/jVeNU/hoIBBAMBpHNZiESiaDT6eByuVj9PUXfwuoKahEsdFp2u1efCQNutVrZPrud\nUIrlcpltKADcb/fJU69EzRC9cdAQi7cb3X//+9/vqDc5sG3Ah4aGYLFY2IN2GCAWQ6PRMGGNEPPz\n8/B6vQ/cPPTAt2vYolarcfLkSVbKddC6gv2AKg5eeeUVnDlzBgaDAa+++ioGBwef2JgI4XAYS0tL\nbIGk7W5ff/11vP3226yn9ncBtLOVXC5nRpsiWHLW+b7SpM4mdTTt6ETqZMqT8t2yhFHSflTI9Jtv\nnUkMltVqhcPhYHls/rspZ1utVllPBbvdjmAwiFgsxhoR0T1A4xLWq+9nvCKRiAlhtVptS5RPz204\nHEYymcTy8nLLftpkQIlSpzaltBmKVqvF+Pg4jh07homJCVgslhYRXKfXmgw4VRVotdqW+mpiXPga\ndbqOZOAoPUEd2Gw2G8bHx2G1WhmrAICVFvJMDN89bTfQ/Sa8b3g2RliKRyV8sViM9bhXKBSwWCwY\nHBzE+Ph4y/1Cc0JrMOkVeKdgL0fzmTDgnRpYEixQbpwoJKJeeONPiwRFPweN2dlZGI1GvPTSS+jr\n6+voM9TV6TCat/Do6enB+Pg4nE4notHoA5E0sO3lCnuL7waz2YyJiQm89dZbOHPmzL7z3gcNg8GA\n0dFROJ1ONBrbGzoMDg4+0Q1BqF3ql19+2bIHu0ajwZkzZ3Dq1CkMDAw8l2VjO4FvQUuUMy/iISFW\nvV5nHbtisRiSyWSL0punn/n6XaB1X296X6e5ZVpAyTBrtVr09/dDLpezDUFIN0JpMDJsFNlS3lav\n1zOjyNPO9D3CCK/dOPYaL+1wZbFY2Da3NLe0qUa1WmVd0EQiUUs3Q34M9KPVatHb24uRkREMDAyw\n7ZCFbWv5/LBwXPSbnDEqb+OjYrpGpBoXfp6iVZ1OB6fTybZapR3BaB3nj0P0v/B67zaf7e4dPt/N\nH4uU8dRnwuv1srKxRqPBelQMDQ3B5XKxVAUJC3nHjejz/aQbnwkD3imokcHKygpu3boFAIyOo8ki\nkOdzWFHi7OwsZmdn9/UZiUQCo9HINp0/LFitVkxMTODo0aMIhUJtDfh+4XK58P3vfx9vvPEGBgYG\nDsUp2g+sVmtHO789LtTrdSQSCVy8eBGffPIJE6/J5XJYrVa89NJLmJiYOJS6/6cNwgWQDCsttnzJ\nD1/vS8abhGx8i2E6Lq+R4KnzdgKmTqhUWjPIqKnVala2SFEqOQT81p98WREFD8Qq6PV61vucDNdu\nY9pLeMU7PCqVijED1Ja0XC63dGCjLUABsOYjQsU3pQClUimrqybjTfXrwha1nYDXNPC0MdXs01zz\nW//SudNnDQYDa5PKsyt0vXnFOB1vP8Iw+j7+/fz1IXaA5odSD2tra0wRn81modPpWO6bRNbC0j7h\nMYH7DuhzkwPvFJSf5elds9mMoaGhlh1fnlbwbUwPu/7XaDTi7bffRjQaxeLi4iMdSyqVYmRkBN/7\n3vcYtdZFK/L5PLxeL95//30sLCywv5OOY2pqCj09PU9whE8OPEXJU6d8KRVRn2TcZTIZqxEmqpQ3\nAHxku5eB3G1c9Bky4FKpFBqNhjWbIYPN70BHY6TzyefzjMKmfecpcBDWJvPCrU4WcP4zlFIgo0ER\neDgcZlofWlMooKFolfpRVCoVtukKRbaDg4MYHh5mOW8yQEKD0+lY+WtNtD1F3HRMYRMeAC1UO50H\n0c6klBeWy9E14VmOTscJoOU8yWEhNoacx1KphHA4zPYsj0ajUCgUsNlsrDyO32qWV7Tz9xb9bT+C\nu+dqpSVvkXbnCofDMBgMTLb/pKPCvSCRbG9UPz09jXw+z/J9hwHatOTHP/4xxGIxrl+/jnA4jGw2\n23Fey2azYWhoCFNTU3j55Zdx7NixFjVpF/fh9Xpx+fJleL1eJm5RKpU4ffo0/uqv/goej+c7EX23\ngzA64g0wv4DzeXISQtEOfe0atbRbuPcTiQkXUL5JCh/1k9PB50T5na/oNaVSCZPJxAR7fHS5U667\nU8PI5/ppB0OqNfd6vUgkEix3LPw+Oh86Bm0Y4nQ6WY324OBgy9bCvHO0l7ERlvDxeWiKvvnzJa0D\nn1bgjTHdE3Q9eKMHgDV6EUbk+3GK+Aicd5B4NbpIJGKd4DY2Npj4TyKRwGazYXBwEIODg6zfOX2e\nZ3Z4h43SR/txiJ4rA057WR87dgyzs7NYXFyE2+3GxMTEnvtaPw2gCJw2N9HpdIeikAfu1xy/+uqr\nGBgYwG9/+1vWj5tENnweiuh9XpV+9OhRXLhwAa+99hrz0LtoBeXH5ubmcOnSJZYbk8vlsNvtOHfu\nHH7yk58cetrkaYLQoAL3DVC7+50WdMrvkpbBbrejt7cXarWa5XL5iImPoIXft9f4hOAXcf64PE3L\ndzUj6pwMJrDdhYv2jScBKZ0fT4PzjsdO4xGOjcYgFovZrmdEN/f09MDr9SIQCLAOcrzjQalEMhzU\nh2F4eBiDg4Ow2WxMKMiPVSi06mScvDHmhWA8G0AGl3eM+Lw8UfBE/Qtz3bwBb2e4dxon/3deQMcb\nWfouWgdpAxuv18vKlvV6PdsCemBggJXN8ecqvNeFDlUn8wk8ZwacQI0wSqVSi9jkWYHH44HT6WS5\n+8MARQlmsxkzMzPo7+/H4uIirl+/js8//xx37tzBxsYGe7/RaMSbb76J3t5exmQcOXIEx48fb9k4\npItWFItF3Lp1C59//jmuXLnChIFarRbnz5/H1NTUc9ku9WHBR4ONRoM14qBNII4fP47h4WGUSiW2\nmQ2pqWmBFYrUHtUJ5g0Ab2gJtO0k70RQjpmUyNQzW61Wo1AoMNpf+D387/2AV8qTEadmKdRymBpE\nhcNhJBIJ1imODI7NZoPRaGSOEv2ftvLkHUwyOPtRydM46TcZRWIr6BrupBSn8+P7TggNtLCOXugM\nPQx4poGuNbD9bIfDYZb73traYhoEj8cDj8fT0oud73D5MMa6HZ5LA240Gp/pUhzqz36Y4Ckwyieq\n1WpWIrO5udkibtNoNHjhhReYNwmAbe23ny5M3zXUajUkk0m2P3Sz2YTb7cbJkyfxxhtvYHx8/DsT\nebdDO8UyLZYUTQH3O2HRfcobK6FYqd1xH3V8OzkEZDjJWNC15NkAiiqpvTBwn9YVUv7Cse/nPIRG\nnIwuCXkpvZjJZJDP51vKxWhHMcrrqlQqaDQa5njsZIA6GaMwsuUhLNOiqJxPVfCRPt8LvZ1xFtLT\n+2EIdhozD7onqY037WGezWahUqnQ19eH0dFRDA8Po7e3FzqdrmXcfCqgneJ8v/ftc2nAu3g4kHL7\nhRdeeNJDeW5ACmoS3+h0Opw8eRJvvvkmZmdnv9PCNeDBBZ0XndECzOeRKVLjI2Fho5bDAu8ctDPi\nQkNEP/zGQRRxCiPGg4rI+PmgCJk2XDGbzfB4PA9Qt1SKR2OlGmW+pE+ITkvxdkI7w0rGkQw0idh4\nlTn/I9RI0LGE989+jfhODgf/3dRSN5FIoFwuQ6VSsbQDdamjYIfKxijFIixLe5T7tmvAu+jiMUGn\n0+Hll1/GW2+9hddffx0mk6mr2BeAF4MBYHlQnnptR4kKo7DD0o7Q8fkxCIVcNF7ekJIDB7SWXB3G\nOHmHgh8DT1fzIi3gfjkZGRqhEeNz0Ac5buExeQPMG3B6Ly/843+E9we9h//9qBCK2UgXNDQ0xFrK\n9vX1sTQjNZ0hRkFY438Q4+quHl10cYhQKpWYmJjAz3/+c3z/+9/HxMQEpqen0dPTsy+16fMK4fnz\nudHdaNq9qPLDmNd2x+QNodCoteumddBGZSfspLTnjTFv9HhxmXDfa/6zj4p25y00vsKGMLzoDWjt\nEb8bk7PX9z4sSGNAbXBNJlNLOoJa6ZLKXiiC2ykv/zBjFB2mp7pPPDUD6aKLZxhPnUewvLz8nXu2\nd1pXn0aHTajQ552jx+lwCP8vNHLt5vRxzGe7sQmjcWEXwHbg9R0PY8BHR0cfeEM3Au+iiy666OKx\nGetO8DSMYScI0ydA51vUHvR5dQ14F1100cUh42k3SM8CntQ4d/veJz13XQPeRRddPJM46Pzso4AX\nU/E/Qhq6XUOZJ2UE9sob7/beTj6z33EIlf075YqFteTtxvIkqHX+e3d6Tfj6bvdtJ+fQNeBddNHF\nU42dSoF4o8k3/2i38D9q2dNO4Ou/yaBQvS9f9kblTrwimf88cLhOyE5GcLf3C1X1B11jLxyPUEzH\n14jTe/jSQeE87qeH+EGPHWjfepfGx28WA6ClLnw3Z2UvdA14F1108dRCqEpuF9nyCzoZU2qxyZdz\n8Quq8DseZWx8b26q+S2Xy6jX6y37UVNZF/X/5ndO48+PzulRx7dThC0scxMKq/gxtGtPu9++4nuN\nja4LX8YGgO0FT9vM8o4SfY7Gwe9wxh9TiIMsKROex273JD9vdH+Uy2V2L7crmesEXQP+mFGtVlEs\nFhGNRlGpVCCVStHT0wO1Wv3Ub7ZCoL2ZS6USyuUyCoUCq4vUarVsu7+DRD6fRyaTQSaTgVQqZTvL\nkRdLG1oQhAsSbfJAi8HTjlwuh3Q6jVwuB7PZ/J1q+LITFSrsbgaAtU6l5h/838moPmqzjJ3GKIya\nKpUK8vk82zik0WhAr9ezZirA/ZpwfnczvlyqnRK8k8h3p4i6nSPAG2Z6Zug37RBWKpXYD42VNmGh\n1qoPwxwIaXJyaCqVCorFIgqFAvtOakFLG7/wXdn43vP8drT8JjP0m3f49pM22Ot9u7EFfNMXcixE\nou3NTzKZDNLpNNtsRqlUQq1Ws/3R99NWuWvAHzOSySRu3ryJ//qv/4LP54PNZsO//Mu/4NSpU3A6\nnU96eB0hm83iiy++wPLyMlZXV3Ht2jVks1kYjUZcuHABP/7xj/HSSy8d6HfOz8/jo48+wkcffQSr\n1YqRkREAQCQSQT6fx9jYGNRqNXs/PfzUCUmpVOKll16Cy+WCXq8/0LEdBm7evIkPPvgAn332Gf7m\nb/4G//zP//ykh3ToEFLkfKRFXcJo0eY336D385QqLexCev2gaGBhlJrP5xEOh+Hz+bC0tMQczdHR\nUYyNjUGlUkGtVrMOY83m/f3Dgfs7aAnn4WGcD/4825VjUWRIc0QGplAoIJFIIBQKwe/3Y3NzE7FY\nDM1mk+1wNjg4iP7+frY9c7s9tzsBf01zuRySySQikQii0SiSySQLbhQKBXNyqJe8XC5nm53IZDK2\ne5rZbIbRaGTOEm/k6fOPQrG3S9nw5y28H+n/5PDUajWEw2Gsr68jEAigVqvBYrGgr68PMpmsZW/7\nTtE14I8Z6+vr+PTTT3H9+nUEg0GYzWb8v//3/xAOhzEwMMB2AnK5XA9ElU8S1WoVyWQSXq8Xc3Nz\n+Pjjj+H3+xGNRuHz+VAqlaBWq9lmHc1mEy+88MKBReL5fB6hUAj37t3D0tISVlZWAGw7E+VyGaur\nqy2bQ9COQZR3lMvluHPnDiYnJzE9PY3jx48fOEvwqEin0wiHw1heXsbHH3+Mjz/+GMvLy/jhD3/4\npId2aNhJpCSkbIkO57cWbTQaKJVKrHMYv9jX6/WWPbD5KOhh8+FC0Rw/rkqlglgshrW1NSwsLCCb\nzUKpVKLRaLC+2WazGSqVCnK5nP2WyWQtzT54Wn2n2mgh2kW1PPPA08t8y1diKWq1GjKZDDY3N7Gx\nscH6e4fDYcTjcbaPeTqdRqVSYbvD0Q/QuoXnXnPLR96FQgGxWAybm5vMsCUSCcZayOVyxliIxWJo\ntdoW1kUmk0GtVkOv16O/vx+Dg4MYGhpiRpMcFbp++zXePP1N/+epe35TF3qNzpGuZbPZRDqdRiKR\nwPLyMpaWlrC5uQmVSgWpVAqn0wm1Ws2YBuEe8fS97fDcGnC6SbLZLDMqRMfwOZXHNZZ6vY5yuYyF\nhQVcvnwZqVQKAFAqlfDpp59ibW0Nvb29UKlUOHHiBF588UW43W5otdonTq1Xq1WkUincuHEDn3/+\nOb744gvcuHED2WyWvUckErFtM+mmdblcLAp+VPDXKhqNIhKJtLwWDodb3i+8+cViMb766itMTk7i\nBz/4ATwez1NnwH0+H7744gt8/vnnuHr1KtbW1thC9DyjXW6W729OhkYYReZyOeRyOTQaDajVauh0\nOjZXZDgbjQaLbug+FHbH2ivKFVLl/Dhp0S4Wi4jFYggEAtjc3ESlUoFGo4Hf70cymcTq6ipsNhsc\nDgf7kcvlUCgULSIxvk+2sI1sJxQ6zZ1wm04+pUDRKEWFmUwGq6uruHfvHlZWVhCPxxmVXSwWW9Jk\ncrkcarUaJpMJOp2ObdbB6xM6ofMplVAsFpFKpRAKhbC6ugq/349UKsV2mZPL5chmsyyXrNVqUavV\nGBtDfdzFYjGGhoZQLBZhNpuZ8a9UKi3zuhOVvte1F+7fTXNLf+NZIHqdnMlisYhgMMicu7W1NSQS\nCTgcDgwNDbF7V6lUMpFjp9f9uTXg9IB//vnnuHz5MgBgYmICx44dg9vtbnnYDxv0kCwvL+P69eu4\ne/cuSqUSdDodNBoNNjc3EQwG2Y146dIlTE1N4Ze//CVOnDiBvr6+xzLOnUDG+z//8z+xsLDAcnzt\n0Gg04PV6ceXKFfzFX/wFDAbDU7GVK0Vrd+/ehVwuxy9/+csnPaQH8PHHH+M//uM/kMvlkM/nIZfL\n4Xa7n9t91tst/EJqEnhQTEVsUCAQYI6byWRCT08P24mQHJ9ms8n2EgeAcrnMRGQ8rbrXOHnDym9O\nAWznvoPBIDY2NhAMBlGtVqFWq2EwGFCpVLC+vs4i8r6+Png8HkxPT2N4eBh2u/0BqpecAn4OOmXi\nhOwj/0YAACAASURBVOI0ygtTxFur1ZjxFovFSCaTWFlZwbVr17C8vMzGT/S1yWRi81+v1xGPx+H3\n+9lWowaDgR2LvqfTa8/3ZOeNMnC/nSuptSnlwN8jxGA0m03EYjEA2zs5joyMQK/Xs/WUvovfrnQ/\nDAyNka8g4NkX/v6k8yeHsVarIRaLYXl5Gbdu3cLi4iJjGKj1ql6vZ5oeErjRvbDXdX+uDDhd3K2t\nLayvr2NpaQmff/45rl+/DgC4fv06Ll++jIGBAczOzuLMmTOHFonX63Vks1ncvXsXgUAAgUAACwsL\nuHr1KpLJJOr1Ol588UWcOXMGly9fxsbGBuLxOBKJBJLJJIrFIpxOJ3Q63RMz4NVqFYlEAp999hne\nf/993LhxA7FYrGWziXbI5XLY3NzE0tISnE7ngRhwk8mE/v5+xkbIZDKYTCZ4PB64XK4H3h8MBrG5\nudny8NHCpNFonprUBAAUCgUsLS1hbm4Ofr+fLQxmsxlnzpzB4ODgkx7ioUBISfO5Svob/55arYZc\nLod4PI61tTWsrq4iGAwC2N5f3WQywWg04siRI5iYmGD7MNNimc/nkUwmkU6nGeWu0Wha1MvC6IyP\nwIi6LZVKSCaTSCaTTFzp9XqxtLSEeDwOnU6H/v5+9PX1oVqtIhQKYXNzE9lsFoFAAJVKBSqVCnq9\nnm2CQcavXcnUflgC/hx4dTzt8kUGvV6vs5QURYXECvIMQLVabfl3Op1mueq+vj5YrdaWDUY6ueY0\nLspjG41GWCwWGI1GZDIZiEQiWCwW2O12mM3mBxy5VCqFdDoN4P6OaRKJBHq9nm1/SuDTBsJru1dK\ngl87eAPOOwW8I8h/nl4jbcTGxgYCgQCSySTEYjGsViv6+/ths9nY9ri1Wg2lUgnVavWBY+6E58qA\n08W9efMmLl26hG+//RZLS0sIhUIAgLm5OcjlclgsFsjlcpw8ebLlZi2Xy4w24ikjp9PJPKROkc1m\nsbKygnfeeQdzc3NYX1/H+vo6gO1dqVQqFV577TX8/Oc/h8PhwM2bN7GwsIBbt24hn88jHo/jq6++\nwsmTJzE7O3uwE9UB8vk8otEo7t69i3fffRd/+MMfGF2514PK03JHjx7F6OjoI4/HZrNhcnKS7Wfc\naDTgdrvx6quv4ty5cw+8/86dO7hz5w4AtOTbFAoFRkZGWgRvTxK5XA4+nw8ffvghFhcX2UKj0Wgw\nODiI2dlZDA8PP+lhHjiExpundoWLI0VN+Xwem5ubjIr0er1MZEV7XtMiTjtENZtNlMtl5HI5RCIR\nhEIhpNNpKJVKGI1GFj0KW2IKx0rvqVaryGazCAaDWF9fRyQSQSwWQzAYRCaTgVgsxsDAAKanp+F2\nu1EqlWA2m6FWq+H1epFIJBAMBhl9SkIsvuSIZyM6icR4ip9/L1+2VK1W0Wg0WF4+mUxifn4et2/f\nxvLyMrLZLBMH8jXWpCOgsRDlnUgkkE6nUSwWO9bq8OkQiUTCHJdSqcQMXT6fh1gshs1mw/j4OIum\ngW32JJvNsjknepxe02q16O3tZddVKObjBWedROBCZkioeqdrxTt3/OfonEgQGI/H0Wg00NPTg+Hh\nYYyNjaG3txcKhQKVSgWVSoWlffh7cjc8VwY8m83i008/xe9//3v8+c9/ZpvW02JB3lo8Hkcul2MX\nkaLl5eVl3L17F3fu3MH169eRzWbh8Xjwb//2b/B4PPsay8LCAt577z384Q9/QCgUYnV/ExMTOHXq\nFGZmZnD+/HlYrVa8/fbbOHXqFL7++mv4/X6Ws3+SmJ+fx8WLF3Hp0iUsLi4in893TI8B20Y8Ho8f\n2LmYzWYcO3YMv/jFL/Db3/4WN27cgMvlwtGjR3H27NkH3n/s2DEUi0UA99Wo5XIZMpkMOp3uqSnL\nunnzJt599128//778Pl8bLGYmZnBm2++ifPnzz8z1Qmdgjc2/ALJlwqRkAcAi2RWV1dx8+ZNzM/P\nIxwOMxETUaskXCNRW6PRQDweZ8Y1GAwiFAqhWq3CZrNhYGCAUa27gR9juVxGIpGAz+fD7du3sbm5\niXQ6DalUit7eXoyMjOD48eNwu93Q6/VIp9OMTiXVdSaTYcaHqGo6X/4Z22+ull/wecMFoIVODgQC\nmJ+fxzfffIONjQ2k0+mW+aa8Mm2JSfNJzk6tVkOhUEChUGApCTq/TsYrTEkYjUbY7XbY7XZEo1EU\ni0VoNBr09vZidHSU5b0pMqVrXalUmHNCqnWNRgO73c7y+/we3MK57URTwIMoeLpf+JQECRnpuIVC\nARsbG1hYWMCNGzfg9XqRyWSgVqvhdrtx5MgRjI+Po6enp+V+5xvSdMIOP1cGvFarIZFIYGtrC7FY\nDHq9HiMjI+jv74dKpQKwnc/99ttvUSwWEQ6H2UNNk+33+xEOh5FMJmG32+FwOB4qVx6Px7GysoKt\nrS1G2SmVShw7dgw//elPMTIyglgsht/85jdoNBqIRCK4e/fujrnlx4F6vc5q1K9cuYKLFy9iYWGB\nUf4EinCUSiVKpRLW19dRKpVajlUsFnH79m2cP3/+QMYmk8lgNBoxNjaGnp4e1Go1RCIRFItFqNXq\nlnpaAGyrP+B+iQs9bE/THtyLi4v46KOP4PV62bUXiUSYnJzED3/4Q/T29rKymOcNQgNOOU8AbPEl\ntXmlUsHW1haLZDQaDRwOB2w2G8RiMYrFInK5HIrFIiqVCvx+P3uu19fXkc/nWcRI9PVOIqF2NCuN\nkQxwJBJBIBBAJBJBo9GAy+WCx+PBkSNH0NfXh1qtBp/Ph1AohHg8jmg0inQ6jUKhgEql0pIz5ZuY\n8BHdw5Q8tRMBkoEpl8sIh8O4c+cO5ubmWGBBhpRSChaLhanj4/E4KpUKgG0DRjXivPEmA99JZMtH\ns+RkyeVyGAwGptKnyJ8MNjlpfKqDv4f4+4WcA5rPdtf3YZTotL7w30d9B3jGg+rjY7EY/H4/7t69\nC7/fj0wmA4lEAoPBAKfTiaGhIdhsNsZ40P0vl8v3dC54PD0r2QGAVOelUglKpRJjY2O4cOECzpw5\nA71ej2q1itXVVfh8PsTjcXz77be4du0aFhYWsLKyAq/XC5FIBLPZjLGxMZw9exYXLlxoMQadolgs\nIpPJsAVJJpOht7cXx48fx+zsLAwGA37zm9/gf//3f5FIJFjum3I7dDEfZ9ORcrmMSCSCy5cv47PP\nPsPNmzdbFKAikQh6vR4ulwsXLlwAsK2c3tzcZNEQsO2ZlkolLC0tPaAOf1jQw2E0GqHRaFCpVLC2\ntobNzU3kcjnodDomGqEmM41Gg6k7qaTsaQEtjpQ2ocWaGvscOXIEL7zwwpMe5qFAmK8F0GLAKeVB\nNdP0N2psIxKJ0N/fj5mZGYyNjUEkEiGZTDKlbyaTwfz8PIrFInw+HzY2NgBsM3AqlYrdE1R3u9Ni\n2Y5+JSaHbziiUqnQ19eHkZEReDweyOVy+P1+LC0tYXV1lRluYgSpxJEMGBkfvgMZMRG8NmA38PQw\nHYueGZlMhlKphEQigfn5edy6dQsrKytszum5NZvNcDqdcLlcKJfLzOngo296tklwRnR7J3Qvz3jy\noj2KnA0GA2Mj0uk0mzedTsciaFLFU2kbCYGbzWbLuOie4Wu/O3EuhODZAl5wR+OnaJwatigUCib2\n8/l8WF9fRyqVQrO5XUtvs9nQ19eHvr4+aDQa5hQSG0PBBe/Y7obnyoAXCgXcuHEDGxsbMBqNeOut\ntzA7O4uxsTFIJBLk83lIpVKYzWZcvnwZN2/eRDgcRi6XYzfF9PQ0Lly4gJ/85CcYHh6G2WxmCtZH\ngVarxdmzZzE1NQWDwQCJRAKdTgej0Yhbt24hkUgwkQSw7e3a7fbH2nSEFr7//u//ZrWsfDmKRqPB\nhQsX8MYbb2BmZgYffvghLl68iHK5DKvVCofDwUSEyWQSWq1239qB3SCRSKDRaKDRaCCTyZBMJpk4\nZGRkBFKpFNlsltH+5XIZL7/8MiYmJuBwOA5sHAeBeDyOX/3qV/jqq69aDITNZsPf/u3f4syZM096\niIeOdosqH8URlUsRIACWAnE4HBgYGGDXPRqNotFoYHl5Gevr61hbW2NajHK5DJvNBqvVCovFgp6e\nHvT19cFkMjFqeT8gdTY1NFGpVBgaGoLL5YLFYkE+n2f1zVtbW0ilUkyZbrVaodPp0Nvby0qwhHMg\nLPvq1PDw0Tw51GT40+k0fD4fE9UWCgXIZDLGBhBbOTU1BbVazZzveDwOg8HAGItsNsucA2FU3EkE\nzqdFyMDyzVhIeEgUPVHjlFNeXV1lXSwpDdLX18ecMV5QJ5FIWvLzfCXDbuNs9xqvNq9UKiyHT3NI\nzaJqtRqSySSWl5fh8/mQTqfZ+0wmEwYGBuB0OqHX65kwkJhB3rHtNE//XBlwqVQKq9UKrVaLSCSC\n5eVlHDlyBNVqFcvLy4hEIkzGHwwGmadPEc/09DSOHj2Ko0eP4siRI9Dr9Q9Nt46OjuLNN9/EzMwM\nKxk7deoUJicn2THJg6SLqNFoMDw8DI/Hg5GREUxPT2NsbOwgp6gt6MYMBAK4ceMG1tbWkEwm2esK\nhQJ2ux0/+MEP8Morr2BiYgL37t3D6uoqcrkcVCoVm7PFxUXWJvD48ePo7+8/sHFSdOrxeODxeLCy\nssLEdiKRiOkYPvzwQ6yvr7Mo/ZVXXsG5c+eY4vNJU+jpdBrr6+u4evUqNjc3AYCxG0NDQzh16lRb\nZf3zCl6ZzCvQ6b6kiIpvllEqlZDNZpFIJCASibC1tYVQKIStrS3WBU2tVjPGZmBgAHa7HSaTiUV7\nWq2WGTl+4RSOjQdf/aDRaFAqlSCTyTA4OAin0wmLxcIifcptNptNqNVqDAwMoKenB1arFW63G1ar\nlUXbVK/O0+b7oVL5KJ3mk4wrpQu9Xi9CoRDLweP/s/ddz22eV/oPSBC9EEQjAIK9UyLVqC5Zsq04\ndhKXbLJJNpvZmZ3Z2ezFzuzFXu/M/h17tUlmZxLbsXcTxU2SrW6qS+wdJAECINF7Yfld6HeOX3wm\nKVIm1aIzoxELCLxfe885z3nOc/Dw2TYajWhtbcWuXbtQU1ODxcVFTmgo2LHZbAiHw6ySRsIjYm19\ns/X6tWD+iooKbjk1GAzM7vf7/aioqEAmk4HX68WDBw8QiUSwuroKl8vFwZLFYmGVNnFojFgmEdu+\nHnVexWMhpEJKtiwrK2PyGR1LIpGA1+vF9PQ0IpEIlwgMBgPX9KlGT8GTeM2lRLhH2QvlwJVKJVpa\nWnDv3j1MTk7iyy+/hMlkwtLSEvr6+uDz+VhliOBVm82Gzs5OHDx4EGfOnOEe8e9qra2tcLlcJWIS\nlZWVJRkpRXMUiVosFpw5cwanTp1Cd3c3Q0o7bcViEaFQCA8ePMDNmzeZeEbKRy6XC3v27MGvfvUr\n7N69G/l8Hn/4wx8QjUbR2NgIuVyOY8eOob29HR6Ph2HFnp6ebXVEcrkcZrMZzc3N6OjogNfrZRh6\nZGSEVeJu3LiBeDyO1dVV9Pf3IxqNolgsoq2tDY2Njaiurn6iQj5SI3Y/te7QRl1fX48jR46gtbUV\nlZWVT2VtT8KkzkbqwAlKFzOU1dVVzrLy+TxCoRAHafT93NwcQqEQZLKHgh92ux0WiwV2ux0NDQ2c\nLVN5ipzno2qk4lrpHlSpVKitrWVHaDQaYbFYuLxDayWGvNlsRkdHBxoaGlBdXQ2dTsdKXKLDlQYS\nm3WM4nmkjJMy10gkAp/Px6IyROxVqVSorq5GU1MT9u/fj5qaGlRUVCAQCPB+ZLfb4XK5OFhRKBRQ\nqVTQarUlsqabNToeaaZJCJ/ZbIbZbOZWvcnJScRiMVaBHBkZQSaTgUKhQCKRQCqVQiwW48zWZrNB\noVAw1E3se2mb11rXeS0Tyyj0TyzHiWp/KysriMVizDpPpVJ8T1dWVjJiZDabOTila0afIXKNNrPO\nF8qBE0lArVajWCzC5/Pht7/9LT7++GOkUimuq62urqKzsxPHjh3Du+++yzeo0WjcNtUzUgISIz6p\naMTExASuXLmCdDqNiooK2O12vP3229i1axdH8E+iXzkej+PPf/4z/vSnP/F6gIewf29vL9577z18\n//vfh8VigVqtRiKRQHd3N44cOYLa2lpoNBoUCgWMjIxgdHQUwWAQVVVVO7beqqoquN1uVFRU4Nq1\naxgcHIRMJkM+n0c2my1hzC8tLeHq1asYGRmBxWLBL3/5S/z85z9HZWXlU8vE5+bmcOfOHfj9fmQy\nGY7sT58+jX/7t3+D2Wx+IoHb0zRxQ6TsSJpxUmsnbe5WqxU6nQ7FYhHz8/OIx+MYHBxkrolM9rD9\nzul0oqGhAW63G2azmYfBkH461RwfleGulZnTwB69Xg+FQsFBOB1LPB5HLBZj4lokEoFKpYLRaER9\nfT3a29thtVq59kkCJiLZTNzIt8JCl2p9r6ysIJFIYHZ2FlNTU5ibm0MqlYJcLmdCaFdXF9rb2+F0\nOtkBKRQKtLe3o7u7Gw6HA2VlZVhcXOT9s6KiokTRUrymj1ojnUN6PZ0HKhkYDAaYzWZGVKLRKBQK\nBdLpNGKxGK8feDgHgVr6AoEA2traUCwW4Xa7S+RWKTii1rKtmniPUumA0FtKVlQqFfL5PGKxGAKB\nAJLJJCdnMpkM1dXV3AZLqIhI0BPr9mKXxqPshXLgpCNO6kHEugwGgygvL4fD4UBTUxM6Ojqwa9cu\ndHd3b6tet2giHLieVVZWwuVyIRgMolAoIBaLYXBwEDabbVt6pzdr2WwWg4ODTLgBAIfDgd27d+Mn\nP/kJjh8/XtJGp9FocODAAeh0OlitVigUChbUoLrVTppcLufNOB6PI5FIAHh4/fV6Pbq6ulBfXw+z\n2cwbPSnhXbx4EdXV1XjttdeemkLc5OQkrl69ing8XgIjUl31RTdpixNQSsKioJXqo5RJUtZaVlaG\nZDKJZDLJkLrVaoXL5YLVakVdXR1D1Fqtlqc90WuB0sEn4kb5KEIb8M2kM5JBlcvl3L5GCQI5Ocr4\n8/k8EokE0uk0s7wJYSgWiyXKXqJtZhOnzV5sPVpaWkIymWSJUupZX11dhdlsRkNDA7q7u9HW1oaa\nmhrI5XJkMhneJ4mRTuXIZDLJEqtECl0LMdjsWsmIbU5rJ1nRsrIyHnJCtXadTsf7u1qtRiaT4c6D\nmZkZbsMymUycjIm94tL9eCMoXYp8iIkUBQbUVy/uRYFAAPPz87wumUwGvV4Pl8uFuro6qNVqPmb6\nO1qLFDb/q3LgInFDvFBUj7JYLDhw4ABOnjyJY8eOob6+/qlLfLa0tOCVV15hIpbf78fHH38MhUJR\nIlO4E1AvRZDpdBperxeTk5MIh8MAHt6sTU1NOHPmDH70ox/BbreX/K1arUZHR0fJz0h8Rqw77aRJ\nb3S1Wg2r1YqGhgb09vbiyJEjqK+vx8DAAPx+PzweDz777DMMDw/jk08+wb59+2A0Gp+YIhtlk5FI\nBP39/cw8JzKM1Wp96vfjkzSxniiS+ADwPS9la4v3lsgCtlqtaGtrQ2dnJ1wuFxwOB6MYa/VGi+pc\n9PONNnLxb0XmOGWOUiY9kdwcDgcHkLFYDBMTEyzxarPZ+HOl2tfSz17ve+nvpGpxJHs6NTUFv9/P\nwQP1q1OZT6PRsHAVoQU03pL0ygOBAPdoE/QvDuvYCswvbZGjcgldb2LFk7CWVquFxWJBTU0NWlpa\nUF1dDa1WywOOZmZmMD4+Dq/XC6VSySUolUqFbDb7rSEr60HT4vfS/UW8DyjzBsBIWSqVgtfrxezs\nLAKBAH+uWq1GdXU1nE4nzGYz3zsAOGBba3jJZu2FceBEYPq///s/VuACHkpwtrS04M0338TRo0fR\n1dXF8NfTtq6uLshkMgwMDDBacO3aNchkDwXwyXnuhGY7STz29fXh/PnzuHfvHhOCtFotOjo6cOzY\nsU0z8Pv7+/GXv/yF5Rg3+1A/jonR6urqQ/Wojo4Odty9vb2w2WxQKpWoqanhckpZWRmuXLnCRBin\n0/nEeqwzmQwmJyfxm9/8Bl9++SU7LSIu/sM//ANOnTr1RNbyLBgdvzSzAb7duxyLxeDz+TAyMoL5\n+XkeFEKjGNva2tDU1MTDc0hOU2xzEt97q2Qm8TXkIEmzmhwOBWOkCEcOPhqNYnh4GMFgkFtLk8kk\n9uzZA4vFApVKxZC5uImLteKtBJkkZrO4uIi5uTnMzMwgEAggl8tBrVZzDzIlMDKZjDUcNBoNysvL\nGRWgY6ThQYlEgnvzCT4XW502+7yLfe7SMlaxWEQ2my1p0aupqUFbWxva2trgdrs5Ayfi6tzcHMrK\nyuD3+3kcqdPp5HLq4yKCUp4GOV/q/yboOxKJYG5uDvfv3+eavUz2sB3Zbrejs7OTtSsINaL10/uJ\nsPlW9s3n2oGvrj7s/Zufn8fVq1fx5Zdf4v79+5idneWT0NPTg3fffRcHDx5EQ0MDLBbLU171N0bs\n2DNnzqCsrAy3bt2C3+/H/fv3WXf4tddew759+x5L1GEjy2QyuHPnDs6fP49Lly4hHA6jrKwM1dXV\nePXVV/H666+jqanpkbVYEn+hGcLFYhEKhQIWiwW7d++Gw+HYtjWTqdVqbsWTyWTQaDSsbHfw4MES\n6VuSTFUqlXjllVdYk35kZITh1idhAwMDOHv2LL766ivMzs4CeLgxdHd346233sKrr776xNbytI2c\np1jvE7XIyUlmMhmesT05OYmpqSkuN2k0GtjtdrS3t6OrqwtWq5WvtVQkhf6RkyVIfrNkJtGJi+ie\nqLwlZtI04tLhcKCtrY3brqLRKKanp/l7yoC1Wi1v5tJMbCvPPO2H0WiUe5Dn5uaYlW+xWLjDhcSt\nKBgRs3dR8YyY/tSVotfrYbFYSgi2a5Ui1jPxeosELlFfnMqPBKc3NTWhvb0dzc3NMBqNDN2Tprha\nreY2XFLes9ls0Gq1HFTRvbYVNUlxvdIgjkoIqVQKfr8fY2NjGB0dxfz8PKMGdXV16OjoQHd3N2w2\nG9+HSqWSleLoeotkShEdepQ9lw6cItZ4PA6fz4dbt27hD3/4Az777DMmGJB1dXXhnXfeYXbis2YG\ngwGnT59m+Ojq1atYXFzE1atXebAF9ZduF5xOvYrXr1/H119/jbGxMV5LXV0d/vZv/xa9vb2PlBsl\niUsSwSHBAtIt36lJapWVlXC73bDb7ZDJZKirq8OhQ4ewd+/edSVvqW5/9+5dTE5O4s6dO3A6nXA4\nHGsqPG233bt3Dx9++CFmZ2eRy+VQVlYGtVqN3t5e/OQnP0FdXd0Lq7hGJmX00kZFcCxlxiTIFAgE\nMDw8jLGxMXg8HsTjcSYolpeXw2w2M/uY4F6RxSs6Q/p6qxmO+F60kYtlOnHalyhOUlZWhqqqKjQ3\nN7MzGh4eRigUwujoKGevNFKU3kc8P1t13isrDycw0jCn6elphs6pjampqQn19fWw2+1YXV1lIp3Y\nh0wQL03SImXKiooKhrKtViurW4rnZjPrFAMnuub0tVqtRmVlJbcD0zmkNVOgRAgBvba1tRULCws8\npc5sNsNgMLATF/kF653btQInKQJCQYdSqYRMJuMg0+PxYGZmhoMlvV6PxsZG7NmzB62trSXENQpS\nRKU4qYDLZu25dODkvM+dO4ezZ8/i9u3b8Pl83KpFPaLA1mXznrQpFArU1dXBaDSipaUFFRUVuHnz\nJubm5jA3N4cvv/wSlZWV+NGPfgSbzbYtamLJZBIzMzP8OWQajYaHLGymHpvJZDA+Po7/+q//wuXL\nlxEKhSCXy3HkyBH87Gc/g8Vi2RHHaLfb0dvbi7fffhtarZZ7+DdCVyoqKpgJ+uDBA1y/fh12u537\nMnc6uAuHw/B4PMxMpTaklpYW1NbWPpPB5U4aORzKtuRyOQ+cSSQSmJmZwcjICO7fv49wOFwilEGt\nO1QbFQMf2ljFNh0AJTClWAPf7P4gZvHkbMUectqUxXouQdY6nY4JdQMDA/B4PBgaGuLMS6lU8oAl\nWttWa6JUm43FYtyH7PV6EQqFUCwW+TOqq6t5LTQPQgxqysrKoFKpkE6nsbCwgP7+fgwPD8Pv90Or\n1cLlcvEYVEIOtmpU1qCvRfKi1WpFV1cXtwvqdDo0NjbCaDTyPUNlC5rauLq6ym18arUaPp+P54nT\nvG2SV5WWKR5lYlYsZstlZd9MG4tGowiFQsw8p0E5pO+u0Wg46KBjIBlaMSCUtpFtxp47B05wxe3b\nt3Ht2jXcvn0bfr8fdrsdPT09MBgMmJiYwNTUFKxWK0MpT4qstFWjqJPqSr/4xS9gtVpx8eJFHqyi\n0WjQ3NzMEfB3tbt37+KDDz7A5ORkybARvV4Pu93OAhfr2fLyMjKZDG7cuIHPP/8cV65cwezsLJaX\nl2E0GtHW1sYs9Z0IoJRKJRwOB958800OOghaW8/KysqgVCpRXV0Nl8uFgYEBXLt2DTabDT/4wQ92\nLNigUaGkF09QoVarxaFDh9DS0sKZzF+LiVkGQbeECtGUr7GxMRYUMhqNLMLj8/kQDAZ5FCcpFYoC\nG/S9qF+9FsOb7FHkMHo/ykxJfIM2YFE5TVrHJJ1v2vDp5x6PBz6fDwaDge+9qqqqkuxedG5iTXw9\nIwfu9/sRDAYRi8VYyYzGrZL6GzkQgoPpWqyuPlQ8I9W2O3fu8LNNIzDdbjezvEXUYTPXnc7fWsdG\n405F5EIcPESaAOTAxX5vcppGoxHhcBjBYBCBQADV1dVQqVRbLpuIryGnK665UCggm82WtAsuLS3x\n+OfGxkbYbDYWoZEeKzlqUTJXFLfZrD03DpwOenx8HGfPnsXZs2cZjtTr9di/fz+OHDnCQvuLi4vY\nu3cvmpubodPpnikd7LWMIME333yTh4R4vV7Mz8/jxo0bOHToECwWC6qqqraUOaxl9+/fx8cff4xQ\nKMSbEvCwv/pR2WChUEAymcT09DQ+++wzfPDBB9xCRg9ea2vrjtRz6R5Ip9NIp9Ow2+3Q6/UwtmIc\n/gAAIABJREFUGAybFmahGl4ul8Pw8DAcDgdOnjwJs9m87eul8bZXrlzB5OQkXzfKMl599dUXclTo\no0zczMhppFIpHijU39/PJRmr1cr3FGUxdO0pk5Q6ETELFtXbgK0hctLnTITJKeigoEFkVks3Yrlc\nDoPBgMbGRg4Sw+EwI2FUB9doNCVZ/WbbiugzC4UCz+uORqPI5XJMmDIajczMXl5eRiqVYj1xlUrF\nUHo2m8X8/DwGBgZw9+5dTExMYHl5GSaTCbW1taitrYXdbodarX4soio9w9IADgAPSMnn81AqldDr\n9aiqqkJlZSUPqRGH3CiVSnaqFRUV3J9PgUw4HGYyHH32Zk103tK/pfuAhtosLi4imUyylkdrays6\nOjoY8k8mkyWIjfTYqSxA981W7tHnxoHTZnj37l2cO3cOXq8XuVwORqMRp0+fxnvvvYfu7m58/vnn\nUCgUqK2txc9//nP09vY+denMrVpzczNOnjyJy5cvIxaLIZlM4sKFC6itrUVbW9t3roXn8/k1x4PW\n1dVh3759G87KXlxcxP379/Hhhx+ir68P8/PzKBaLqKurw4EDB/CjH/1ozfGe22FUOunr68P169cR\nCARw6tQpfP/7339kBr6WkSDMTommZDIZ+P1+3LlzB16vl6Psn/zkJ/jXf/1XmM3mHdEgeF6MMuR8\nPg+fz8ejF6enp7G8vAyn04l9+/Zh165dsNvtGB0dZei8qakJDocDCoUCsViMoe1sNstOliY9Ad9k\nzWIgv9lnSKxR0nvQ54mZN421lELtMtlD5TeNRoOVlRXmjczOziIcDmNubo512knASYSZNxOwU1aY\nSqVY/10mk/GMdJPJxA6cHBCtf3l5GdFoFOFwGIFAAOPj4xgcHMT09DTKyso4o+zq6kJNTc23yILi\neXqUkxQZ94Q+krjOwsIC5ufnecog6WS43e6SqV35fJ6hbJG/Qp9PE9NIDlbMnLdqYrAp9r1ns1nE\n43EsLi4iFothaWkJVVVVaGlpwd69e9HV1cXPdjabLSEhSwnJJBcsnsfN2nPj2aLRKD766COcO3eO\n5ybv3r0bBw8exGuvvYbdu3djdXUVQ0NDSCQScLvdJVHQ0zaSKw2FQixn2NDQgMbGxpKIm2p8NMua\nyA8DAwOYmppCKpX6zv3L4uYAPNxITSYTGhoa0NDQwA6Nbl4iFA0MDGBwcBCDg4O4c+cOAoEAlpeX\nUVlZib179+KNN97AoUOHdoR5Tlna7du38cUXX+DixYuIx+MIBoPw+/14/fXXUV9fv64EabFYRCQS\nwYMHD9DX14d0Ol0yY3gn4PNYLIapqSmMjo4iFAoBePhw2mw2tLW1bfvnPU9G0C2phXk8HhYbodpx\na2sruru7mddCk+3cbjdaW1u5nFRWVsYZmUgUosyGNsfvQlYU+5OBUjiYUCmalkbSmZWVlVxGEnUX\nstksZ8z5fB7hcBiJRIJrpCKc+ijnLf6eJqVRECOTPexJJ/jcarUygkdrIIc/OTnJo5U9Hg/PF6Dr\n0NbWhoaGBlRWVjL6QJn0ZhFBkRhGRsFKOp2Gx+PB6OgoZmdnkc1mYbVamRTmcrmg1+tLeAZi0JTJ\nZODz+eD3+5FMJlm4h87l4zhvum6EuJADJ6TD6/Vibm6OGfAGgwF2ux0OhwOVlZWs1CciQBS4iO8t\nfobo3Dez5ufKgX/wwQe4efMmMpkMqqurceLECfzN3/wNWltbeRLZvXv3oFKpsHv3blRXVz+1+qIo\n61lWVoZ8Po/79+9jbGyMJQ3PnDmDqqoqzgoKhQLC4TAGBgZw//59pNNpvsAEG5O2+naaXC7nMXfi\ngPlCocATgO7cuYM///nPGBgY4EEw1C7W0dGBkydP4uTJkxwtb7dRlnDx4kV89dVXuHfvHgCwA6+p\nqYHBYGCFKzpvpHpEx3Hx4kVcv36dx0GKRJ7tNq/Xi1u3bsHj8XD/J20ApB6nVCpfeNlUqdEmRepf\npB89Pz+PTCaD+vp67N69Gz09PXA6nYhGozzHQKVSMZNar9czg1qpVDIULPYZi5s92WayWdEIJifn\nQWU6YkJTG+X8/Dyi0Si0Wi1qa2tRV1fH15zGeZLYBw38oV5rMdteaw2bMQpWxF5l6ksnVTVCAegY\nAoEA17v9fj8nGNR21tLSgs7OTjQ3N6OqqorvVWlv/VbQDJF5Tk6YJF9HR0cxPT3NP5PL5SzMYzQa\nmSWfz+cBPES54vE4IpEIz0OgPZf0AIBv8wketUbxmIhsSfdUoVBAKBTCzMwMZmdnebiKqEFAREsK\nosR579IgTTwvojjOZgKP58aBLy0tsaSfTqdDV1cXDh48iNbWVkxMTHA/89LSEk6fPo1f/OIXT1XZ\nyufz4f79+7h58ya0Wi3kcjnOnj3Lo/wI0tPpdDzzeHFxERcuXOCRfzSG0GAw4MSJE5yNbHdJgDYo\ngvyWl5dZY/jBgwf4/PPPcenSJcRiMY7cAcDpdOLQoUP41a9+hV27du1oqx5BbBcuXMD4+Djf5Eaj\nEQ6HA0ajEYlEApFIBPF4nOeCDw4OMslkdnYWHo+n5OHaSbt+/Tp+85vf8FQi4OFmMDs7i+vXrwN4\nWC75a6uDi6Qvuk40e3plZYXJSDKZDB6PB5OTkxgbG0Mmk4Hb7UZTUxN0Oh3XbMX+5dXVVW7JJMct\n9u2KeuOPMvF1tJkmEgnMz89jfn4esViMFfaoayQWi8FisSAej3OJj+ql9HeBQADBYBDLy8vMyaAp\naaK05mZMSnAT+7npvYhwl0wmsbi4yApms7OzmJmZwczMDHw+Hz8XCoUC1dXVDJuTfoY4+5pMfIYe\ntWZyiiIUTToSsVgMoVCIzxu9hu4PEsJJpVKczCSTSRbGiUQi3DanUqlgMpl46IzI7N8KWiAGUyLx\njjhWPp+P1emUSiWjrBMTEwgEAjAYDDAajbBard9qExPr4PR5j6P18dw4cKptEJHF5/Ph/Pnz3O84\nODiIcDjMYh719fVPJbMhklVfXx8++ugjjI+PQ6FQQC6X84xtegCuXbuGaDTKN1gqlcLIyAhrDgMP\n67QdHR04c+YMOjs7uU1mO61YLCIYDOL69eusc+zz+TA5OQmv14uRkRHMzMwAeJgx2mw2tLe3s/LZ\n/v37mUG7U0aSuDTQIpPJQCaTIZ1OY3p6Gh9++CHrDKfTad5Y5+fnkUwmuT2JpCD37NmDI0eO4Pjx\n4ztWhzYYDKiurkYymWTnIpPJcPfuXa5RHj58GKdOnUJra+uG3IMXyaSbFcHQ+XyeM3KapUws32w2\nC5fLhebmZtTW1qK8vLyk3kwMZco8gW+cm+i86eebdeC0PoI84/E4PB4PBgcHmbxJc+iplYgY8Ol0\nGnK5nGvT0WgUqVSKSVoWiwXV1dVobW2Fw+FgB76V2rd4PFRrJ5Uv2itJTW10dJTnkxNiQMplpNRm\nMplgs9m4vFf//xXbCFWTkrpEJ7fZfUm8DmQUZNE/UeVsaGgI09PTjGRQNptMJhnFIOeu0WhQW1uL\n+vp6RmClGf96JoX4xftUbCMUAyVCfcrLy5ncG4vFuAzU2NiIysrKb3EvKGkSs2zxvtzsPfrcOHDK\nVpVKJXK5HEZGRjA9PQ25XI58Pg+NRoPW1la8+uqr2LVr11PbDFdWVpDNZjE0NIQLFy4gHo+v29s3\nMjKC4eFh/p5uDJVKxT2NbW1tOHz4MF555RXU19dvC5ue6mK0AS4tLSEYDOLixYuYnp5GRUUFPB4P\nPB4Pr4tm2lLv9Ouvv45Dhw6ho6OjBKraKVMoFDCbzTh48CBCoRCjE4lEAsPDw5icnATwDYwoZe9S\nDUuhUMDtduPtt9/GqVOn0NnZuWMCKs3NzThx4gRCoRDDpDKZDENDQxgcHGTHU19fj/r6+hfegYsb\nI/2jjZvuoUKhwNmWXC5HOByGQqGAw+FAe3s7WlpaYLVaS7JtyuQJ1RIlL9eCJtdzQmsZvZ7uK2od\nmp2d5c4CmjFPCmskixyJRNjB0CQvhUIBrVbLYzrr6upYi0DknkjP00Ym1lBVKhVLRROXJplMMqK3\nurqKWCyGSCTCgWVZWRkMBgOcTifq6urQ0NCAuro6OJ1O7uBZC37eLCQtvl687iI5TKPRcJcN7ZkE\nVdPzQ4NJyIlKJ3ppNBoe29rc3AybzQaVSlWCUGz2nIrrFGV5iW9BIjNWq5XXQkJD8/PzLEFNgjni\ndQVQck5FlvxWGfPPjQPXaDTYu3cvz4gVH1i5XI5Dhw7hvffew4kTJ1BdXf3U1kkjTWn268DAAGfT\njzJ6ADs7O7F//3709PSgvb2dIaztcjQ1NTXo7u7GjRs3uBYLAIFAANFoFDKZjGtMALg94s0338Qr\nr7yCvXv3wmQyQafTlUzU2WkzGo149dVXsbCwgLm5OSwsLPBGTnrHa934dF5p0+zu7sb3v/99Juzt\nFJReU1ODPXv24Nq1azwKUaoORgNt/hrZ6JSpGgwGuN1uBINBhkZzuRxvzHS/ipKU1EpEUDkxk6Vw\nOvCNfjmw9tSnzVpZWRlrJbjdbqRSKSSTSa6zUztTRUUFisUiM6HlcjnXoM1mM+x2O+rr6+FwOHiI\nDcmaSuuim3E4dDzUN22xWFBZWcn65SsrD8eEijrnJOlJ7Pe6ujrOuKurq5lPQq+n4xc/b6smOijx\neqhUKlitVrS2tjKpLhAIME+FXieTfVtDXBwG5Ha70dDQwB0KBoOhpP9/K7V68W/EVjeZ7OGseYfD\nwUNqMpkMkskkj4Wm9jeC8QkFIP6SdJyq2Dq2lTUCz5EDr6ysxNtvvw21Wo1r164hnU7zjGCHw4Fj\nx47h+PHjJZHs0zDKVg8cOADgYS2cZsRevnwZ2WwWKpUKSqUSBoOBWaokfE8PN80ztlgsfCNul6Pp\n7u7GT3/6UwAPh5AQu1d8WMvLy2EymdDZ2YnOzk50dXVh165daGlpgdPp3Nb1bMaIDEIOb2lpCcPD\nw5idnWWIlR4O0kmn2qPT6URXVxeOHDmCmpoa1NTUoLa2dtODWh7XrFYr9u3bh/feew9//vOf8fXX\nX0Mmk/E5BYADBw78VU0hA0o3LnLgTU1NyOfz0Gq1yOfzLD9K2gLt7e3c3UCBEN2DtLmLohjS+jWw\ntbYx6ff0/iSRSYNywuEwK3GlUikUi0UeI0oDP/R6PYxGI7dzEXSu1+s5ACanROdnrQ1dui6pE6U5\n3zU1NYjH46wRTgEPtVWRKpvL5UJNTQ1cLhdcLhc7fhJIKRQKJXKfIly+FScufZ3Y80wkRJVKBbfb\nzb3rk5OTiEajTNwVB4gQOY/mh9vtdu5Rp5Gy1FMvrlPqHNe7H6S8BynpjNBAt9vN15161PV6PWw2\nGydwdrud0Rlpj/d68PlGa5Pac+PA9Xo9Xn/9dZZPDIfDPNeWhENsNtvTXibfJLt27UJ7eztWV1cR\nj8cxPDzMX+v1eo7kSYWptraW63tarXZH68kdHR2oqqpCJpOBXq/HyMjIt16jVCpht9vxve99D6dP\nn8aePXt2bD2btYqKClitVhw+fBhmsxn37t1Df38/JiYmmLhGcCvNAvb7/Whvb8fp06fx5ptvwmKx\n8Eaw02Y0GtHe3s7CPMREf+ONN3DmzBnIZLK/OgIbUApLU2msvr6ex2yKmYzNZkNNTQ1P5SMeAxE/\niXUNgKeCUZukFI7c7AYumvT1arWadfg7Ojq4d3p6ehqhUAjZbBY6nY6JeFqtllvKNBpNyT+qUxO3\nZz2YdzPrpFJEZWUlamtrWdltYWGBBVIo8yanRxrjNLlLZNmLRLW1tMQ3uy6pia1TdMxU2jKbzZzh\nVlVVwe/3s+ANlSeoXEFZMc2Bd7vdsNlsHICI5RIRst/suun+pK/FIJAgdIfDwT3gxF+gca0UFFFw\nTu8lBp2iPW4yJHscKGSHbMOF0MVIpVKsIiSXy7l9hOC0Z8XEiIqYlouLixxJisxYuimUSiVH7Tud\n3VJfNMGVUqPaksFggMFgeKbqsyTUkM1meXMSN0BxI6eMiLIgctxbhaoe10h4QpzoRNkYAL5/t9Ge\nvuiBxMbHx9d8tsXNjIhINEeZsix6JkgKk2rJouQoZXGio5H2KYufR/ao6y/ujWtBqsRhoHZEgu1J\n05xgV5VKxQIt9F7kvMU+danzfpQDl65PJK1R5krSo6JoC8HtGo0GOp2OIV4ihxGSRXuTmIWulyVu\n9DytdR4pmyWeAkHhdI3puSYUgGrlhK5S4Eb8CZpfLq5ZmkFv1YHT/2JASOU4GppF/ohKPtQWSqVd\nUcKVzjvt73T9RXb8Rte8paXlWz98bhz4S3tpL21T9tw4cAAlm63I9CVnDJT2HIuENHJ+BMWvlYFv\nRAjb6kZOJpVNpY2Y1kaZrLg2ChzFzFOa2VFwsNXsW+oU6R9xAsT53eSkKSMk505BD2W64s9FyFvq\nBB83IJKqo4nHTq8Vv6bXiEM/yPFJpWylTvtx6/X0v/Q6SYNHWgvdf/Rzer14rsRjFO+FzZzLtRz4\ncwOhv7SX9tJeHJNmOPS9WN8EwBscaZsTSYwcpCjaI60xbtVZb9ZEZyYNLkQHIm7QazlB8W++CyJE\nn0nvReeOvhYhZ+DbNV6pKqP4NyKMTO8pfu5W10kmEl/XqjmLwRD9jhA18T3E45KWTLYjOV0rsCKU\nRyQcStcpcjTWku9dDw3Y6jl96cBf2kt7aU/NpIQtaRYmbpBiVi4S1+j3olP4rhuj1NYikEkdhLhe\ncdqUSIITa7H0vo9T895ondJMlyBo+l7MzqUOhb6WTgxb6723w6THvVZGLkUWpOdrrTXt1Dqlnynt\nwBF/Lp7ztWw71vjSgb+0l/bSnpqt5bSkWaG4eYokKOCbzIcc40bkoMdxjGv9zXqw71oOaK3jFIMW\n6TE+7lrXgp7F9a5Vvxb/RurARaezXt37cda50d+tdfxrwezS3++EbVTPf1SGv9b5f5zP2oy9dOAv\n7aW9tCduG21a0oxFzLrXcuxk28Xs3Yxt5rPX+/z1frcd692M89ho3fQzaSCwk+dyo7VJOQz0c/G1\njzrG7bJniC/G9tKBv7SX9tJe2ne0J+XgXtrLcy3aSwf+0l7aS3subTMZ0U5s9lthhj/u3++0bQQR\nPyv2JBGV7bLvcm88zvG9dOAv7aW9tOfW1msTIsj1aTpSYqGTiT3A4trWqqk+Scha+rlr1dF3wjYT\nLGzUu72TteXvautB/+vJ5a4lR72Z9b904C/tpb20Z96kmxzVw8X2LOlrpQQz8f/tXpv4b3V1tURs\niIRRSGGR9PfFHvL1mMo7YdJzQ7ZeICRt83pSth5bf70+b/Ea77TzXosfQGuj80TrIA0AkrPNZrM8\nt15sjaTWva2s/aUDf4o2PT2NkZERTE5OQqfTsZyq2WzecZ3ul/ZsGo1AHR8fx+TkJCKRCI4cOYKT\nJ08+EYW+p2FrtWORic5YdOCi4MtajG8pwWmnSFm0YYstQ4VCgfXRw+EwVldXoVar4XA4YLPZShQY\n6W+kUqqifde1rufkxJY2acsY2XcdYLLZ9a31vdgTTudG7LGXrnk7euo3Y+t9htj7TwI+dI/m83ke\n0hKLxXgmBs0M12q1Je8p7WhYz1468KdoIyMjeP/993H16lWYTCb09PTg5MmT2Lt3L5qamkqUfV7a\ni2v0oCaTSczPz6Ovrw9ffvklrl27Bq/Xi3//93/H0aNHn/gAmSdh0vYloJSFLoqSSJ3IWspb60GW\na8HTm9kg11qnaKJoBwCeU+3z+TA1NQWv14vV1VXo9XqeXEYDXOh9xSycesW36zpLnZ4I2W7kDOlv\nxeNfq53rcR37o/5G2somXcd6rXgiuiC9N6Sf+13O8VplEKkKHvDNJDx6tkdGRhAMBpHP52E2m1FT\nU8Na8CQFvpX78qUDf4rm9Xrx4MEDyGQyzM3NYXp6GhcvXsTf/d3f4e///u/hcrme6mS1l/bkbHl5\nGX19ffjf//1fXL58GfPz80in0yxr+aI5bqmJG60UglxdXS2RAF1dfTi2U9z0RElLki4VJUJFYRJp\nL/F3XXNZWRmUSiWP30wmk4jH4/B6vfB4PMjn81AoFFhcXEQ8Hkc+n0draysPwBD10LcjYF+rpirK\nvYqTwKSqYdLMT9pfv55C2neF16VZLWmkA+BMFgDrzRP8LFWXozXSe60lq7tdJgYZ4jkjyLy8vBwr\nKyvIZrPwer3o7+/H119/jWAwCJlMhra2Np4NL6rfSY9nI3vhHXg+n0csFsPY2BjGx8cxPz8PALBY\nLKitrUV7ezusViv0ev0TW1OxWEQ0GkU0GoVOp8MPf/hDFItFjI+P46uvvsLAwACGhoZgMpl4ss5L\nezEtEonww/3VV1/h8uXLmJmZQS6Xg9FoxNGjR9HW1vbCwufAtzcr2oDJWQDfQLwEP5eXlyObzfI0\nsFAohHg8jpWVFeh0OlgsFjidTlRVVUGj0bAO+Hra05tZ11pZnxS+pQ17ZWUFer2ex8YuLy8jHo8j\nGAxCq9XC4XBAq9VCqVTyABcAaw4R2YpRBi++B426lMlkJfA9faZUq30tSVJCCsTPEBETabb8KJb7\nWqiJ1IGRsyZHKL0GFJSQiVwCOiYpb2Iz134jFEL6PutNbSsUCkgkEohGo/B6vZicnMT4+Di8Xi8K\nhQJMJhMqKythNptRVVUFvV7P10CUr30UqfCFdeB0wwWDQQwODuKzzz7DpUuXMDAwAABobGxEb28v\nfvjDH6K3t/eJOnB6mFdWVuB2u/HLX/4Ser0et27dwujoKHw+H27evInOzk5otVooFIontraX9mSM\nNvrJyUlcuXIFf/rTnzA4OIiFhQUAgE6nQ1NTE9555x309PQ8kfGnT8vETUqqOS1u3mLWvbS0hHg8\njrGxMQwMDMDj8WBhYQHLy8uoqqpCXV0denp60NbWBrVazSjGevDreiZ1oGKWuLS0VOKIlpaWUCgU\nkMlkIJfLed62SqVCMpnE119/jUQigdnZWXR0dMBisfAkMArQKDihYGA9KFm6NjGDJUiW3qNQKAD4\nZuQonVPKvMmpixO3RDSEPkt04GK9l87DRrVh6ffkfAkVIHIfISrkvEVoXxosiQEZHRNNZBPvFen7\niCWUrQbFUih+LTb50tISMpkMl1H6+/vh9XoRDoeRz+dhMplQV1eHpqYm1NbWwmazQalUsuztWse6\nnr2wu8Ly8jISiQQ+++wz/P73v8fo6CgikQhDVZTl0AzdxsbGJ7Y2hUIBt9sNh8OBubk5noXb3NyM\n3bt34/bt2/jkk09w+PBh6PV6WK3WJ7a2l/ZkLJvNYmRkBJ988gk++eQTjI2NIZFI8O/37t2Ld955\nB6+99hpqamqe4kp33qSOmzbcYrGIQqFQAtHmcjksLy8jHA5jbGwMIyMjmJmZQTQaRTabRbFY5I1d\noVBApVLxfGkalCJmbVs1qrGKWamYLebzeayurkKr1UKv18PlcnHGW15ezuN7FxYWYLVaoVQqvzXJ\nTISx6fxspmYMlELaAHi8KE0ZoxGoNKqTppTRa2QyGc8qJ4dIGT2d13w+X+K86e9E9GC9NdI5KxQK\nyOfzyOfzAB6O1aXrQ0EMjRel0Z00Npa4QWI2rdPp2Pmn02keiypOfvuuzls0yrbFe5NQDRod7fF4\nMDIygtHRUcTjcZSVlcHhcKCpqQnt7e1ob2+H0+mEVqvl8yjOt98MIe+FcuC5XA5erxehUAiBQABD\nQ0O4fPky7t27h1gsVvLg5nI5BINBXL9+Haurq1hYWMBbb70Fs9m84+ukmbJ79uxBVVUVjEYjKioq\nYLVa8cYbbyASiWBoaAijo6Ooq6vbdgdO7QyZTAaRSASxWOxbr4nH40ilUjAajTz/lkylUqGurg46\nnW5HMsPl5WWk02ncv38f9+7dQyKRQENDA1pbW6HRaGCz2WCxWB75PrlcDjMzMzw/HgBqamrgcrm2\nfc1bsUgkgtHRUXz44Ye4du0aRkdHkUwmoVKp4HQ6cfToURw9ehS9vb1wOp3bPS/8mTDRIUk3VqrN\nUmZFdWKqLYdCIXi9XkxPT2N2dpbryvR8Ly8vI5VKYXp6mrP15uZmVFVVQa1Wl8xoXo8oJZp02hit\nVRx7Kl4jo9HIM8zpa5lMhrq6OiSTSSQSCX7udDodHyeNIRUd02agaHKkBJUTWY0cZSaTKcm2qZWp\nvLwcKpUKFRUVyGazKCsrg1qtZqY8nR+aca1Sqfgciwz6jdYqJXktLS0hl8shkUggFotxUqVUKlFT\nUwOLxQK9Xs8DWMTxoVQXz+fzKBaLiMViSKVSHIgQLE2ZvLQ2/6guhM2WK0SiHJ0PCigikQjm5uYw\nPDyMqakpzM3NIZ1Ow2AwoLq6Gi0tLWhsbERdXR3sdjuUSiWfE/EY/+pq4PSAP3jwAA8ePGDCQCgU\nYgiJTCaTQa/XQ61WY3Z2FoFAAGNjY6iursa+ffueiBMHgK6uLrS3t3PkqNfr8eqrr2JgYIDrJZFI\nZFs+i6LdpaUlbnGJRCKYnp6Gz+f71uvn5+cRCoVQXV0Ng8HAG9Tq6ioMBgOOHDkCi8XCJDudTged\nTsebBB3T49jKygoymQz6+vrw3//935icnERvby9Onz6NqqoqtLe3bwoxSSQSfA9QpL9371709vZy\n9iOO+ttpW1lZQS6Xw9jYGM6dO4f333+fz71Wq0VzczMOHz6Mf/zHf0RzczOfzxfN1mIEi61YIqGL\nMuZMJoOFhQVMT0/D4/Fgbm4OCwsLiMfj/B4ymQxqtRpqtRoKhQLRaBRDQ0OIx+MoFotoaWmB0+nk\ne/ZRm6UUul2LzU61VsoKy8rKYDKZuC1IqVRy0NDS0oJIJIJ8Ps+OPJ/Pl0xaKxQKJbO6pcQy6fpW\nVlY4GI9Go0gkEpyB0r9cLldyLNSHrNFooFarUV5ejlQqBaVSCZPJhHQ6DZVKxZ9dWVkJo9FYMvFN\nWjMXUZT1rjfB+el0GuFwGD6fDzMzM8hkMny9nE4nTCYT1+sp+KHMtKKiAoVCAalUCosDvfb4AAAg\nAElEQVSLi4hGo0gmk1hZWYHD4UBDQwPcbjd0Oh07//Uc90bB0UaZuliKWV5eZtSkUCjA5/Nx4rG4\nuIh8Pg+tVouGhgZ0dHSgo6MDDoeDAw3gYaJB+5N07OujUIIXxoFnMhn4/X4MDQ3h0qVLuHfvXknm\nRUYP1fHjx7F792588cUXmJmZwdDQEP7zP/8T//zP/4xf/epXT2TN0pYRuVwOq9WKuro61NbWbmvt\nOxAIYGJiAsFgELdu3cK9e/eQzWYRi8VKoFsyiuYJYhNvJIVCgbNnz0Kr1fKDfPz4cZw8eRI6nQ7V\n1dWw2WyPvdaysjLodDrU1NSgsbERPp8P9+7dw/T0NNRqNSwWC0wmE4D1Wy4IzvT5fMhkMnwffPrp\np9i3bx9+/etfo7W19YlyH3K5HCYmJvC///u/eP/99xEMBjkgOnDgAH784x/jrbfe4sDoRXTeZGvV\nJUXymlwuh1KphFwuRyQS4Y1xdHQUc3NzSKVSWFlZQUVFRck1rKyshN1uh1arxezsLILBIBYXFwE8\nfL70ej0UCsW3oPBHrVWESEVyEcHniUSCnxO6duSwFAoFFAoFnE4nrFYr5ufn2VGLAYDoNID1R22S\n0funUimEQiHMzMzA6/ViYWGBiXEiiY1Y/AQvE4lOJpMhm81CqVRCr9ejqqqKn3vKyKurq2E0GmEw\nGLh3Wa1Wcwb5KCa6WDOnnuiFhQV4PB5EIhEsLy9jYWEBJpMJarWanXV5eTmvG3i49+RyOaTTaUYW\nKDC2WCxYXFxEoVBATU0NTCbTptCM9dYrmnhtqFwCoKQss7CwgPHxcfT392NmZgbl5eWwWCxoaGhA\nV1cXOjo64HQ6odFo+P6gkg8A5gGInQmPujefewdO0XlfXx/Onz+Pr7/+GqOjo0ilUrDb7aiqqoLN\nZkNjYyNUKhVH9Xv27IHD4UChUMCFCxcwMDCAgYEBTExMIBwOw2g07jhxSHpTiQSU7Waf37p1Cx98\n8AGTaLxeL0NsxWLxW6/fiIlZVlaGSCRSwvIMh8MYGRmB0WjkWv7+/fsfy0FSW05bWxuOHTuGwcFB\nzM7OIpVKQS6Xw+/3c/S60TqpHiU+CLFYDIVCAd3d3VCr1cwS3mkrFotYXFzE+fPncf36dXi9XpSX\nl2PXrl04ePAgjhw5gt7eXtTV1T2R9TwLJmXYEmRKqEgmk0Emk8HMzAxGR0cxPDyMYDCIpaUlWCwW\nVFZWwmQywWq1soMwGo2w2+1Qq9XQ6/UoFAqYnZ2Fz+dDMBhEMpmEyWTaEvIidaL0jwhLdH+JUDNl\n01THpzIUBQEymYyfc6otS0VpHgWhU7khnU5zkDM9PQ2/34+lpSUODKTse7GtLpvNMrcAABYXF/ne\nJIjdZDIxW9put8PlcqGurg5Go7EExdrI2dCxkMOjYyeoO51OY35+HsFgsKTeTTV72hdVKhUymQyS\nySQnGAqFgpXvVldXGYbX6/Ul53KjgG0top147cnhiv/Te2cyGYTDYQwPD2NiYgKLi4tQqVSoqalB\nW1sbOjo6UF9fX1KaEPdcuu50vPQZm9n/n2sHnk6nEY1GMTc3h7/85S/44x//CL/fj5WVFVgsFhw6\ndAgtLS1obm7G0aNHWTyhvLwcOp2Onb/X68XQ0BAymQxCoRAWFxdLsssnZRQtZzIZ5HI5qFSqbcvC\n+/v78fvf/x7ANzczbXKPgrsJ4pHL5Uw+SSaTJTdYX18fbt26Bb1ej+bmZhw/fpz72Ld6DASfNTU1\nIZvN4vLly1haWuJafT6fRzqdBlD64KnVamg0GsjlcqTTaaRSKX4/smw2y50JXV1dO+7AKTtYWFhA\nf38/PvvsMwwPD2NlZQVWqxWvvPIKfvGLX6Cjo4NbijKZDMrLy7mWJ1Uhe95NvB4iAiU671QqhXA4\nDK/Xi/HxcYyPj8Pj8UAmk6GqqgqNjY1wu91wOp2w2+3szLRaLSorK5kEFYlEsLi4iGQyiWg0inQ6\njeXl5W+JZmy0Tum5p6BDrFmLKIJI+qJMmzJfkTxGzze1nVHQLq21S/kC4tcUhKfTaSQSCSQSCaRS\nKVRUVPDzIJLkaF0i25my21wuh0wmg0QiUXIswWCQVcNcLhdisRhfp6qqqjXRr7WgauIe6HQ6mEwm\n2Gw2RKNRDl6IeJzJZEr4SvQ3BoOB0QJC1egfneOKigpEIhE+p2slSZutL5OJyBA5bwrGMpkMAoEA\nJicn0d/fD4/Hg1wuB6fTia6uLuzfvx+NjY3Q6XQAHnKLiPRH3RF07MA3nIL1OCJSe64d+PDwMM6f\nP49Lly5heHgYfr8fxWIRNpuNYdLm5mZotVquiQAouRj79u3DzZs3cfXqVUQiEa4ZPUltYrKlpSWG\nlQKBAEdtO2FqtRo9PT1oaWmBw+H41u/FCHRwcBDj4+Oorq7G7OwsJicn13xP4iFMTU1BqVTi5MmT\n0Gq1cDqdj7VGrVaLlpYW/NM//RMuX76M/v5+yGQyTExMYGpq6luvb2pqwt69e2Gz2dDX14crV66s\n+b4VFRWw2+0c0O2kZbNZjI6O4osvvsAXX3yB+/fvIxaLQaVSobm5Gd3d3ejo6OBWI6/Xizt37rCT\nstls0Ov1L4ygj5jNij8TM890Oo25uTlmmc/NzXE90eVyobW1FV1dXXC73bDZbDAajeyICGFbXV1F\nXV0dGhsb4ff7kU6nUSgUkEwmUSgU+DWPWqvUAYikLQrwxQCLWOhifZwyLLHWaTAYmO1NkLYoGUuI\nwlpOXLpGCvZ0Oh2sVis0Gg2qqqq4v5jaqihbJhJrPp/nNVFQnEqlODukhCKbzbLTpICE6voqlQpK\npXJdQqB4HimLJo4C8RUcDgcikQhSqRSSySTS6XSJ0IxcLufjUSqVTAKMx+NIp9OceYuZOyEhUhh6\nq85bvDdFgiCV6DweDwYHBzE8PAyPx4NEIgGFQoGamho0NTXB7XZDJpPB7/cjHA4jFAqhvLwcBoMB\nTqeTCcwEpReLxRJE44WsgafTaYyMjODTTz/Fp59+irGxMabpt7e3o7e3FydPnsSuXbtgtVrXhctk\nMhnMZjOOHTuGhYUFfPjhhyyq4Xa7odFonuhxUU2LGIl2ux1Go3Fb3vuVV17Bf/zHf/D3SqWyZAPc\nyA4cOICFhQUYDAbOaMiozjw1NQWPx8PZzsTEBH73u9+hrKwMb7/99mOtuby8HEajEfv374fZbEZv\nby9kMhkWFhZK1kDmcrngdrthMBjQ09OD48ePIxAI4Pbt29z/Dzyso9XV1e04WbFYLCIYDOLDDz/k\nIDMWi3E7yVtvvYWOjg5EIhHcuXMHExMTmJ6extTUFHQ6Hdrb2/HjH/8YjY2NL4wDB9YuHYlkrPn5\neQwNDWFoaAizs7PcV221WtHe3o5du3ahqakJlZWV3EdN70MZKZGvqqurYbfb4fV6USwWkU6nkc/n\nmaS13vrEr+n9xb5sMXOl31OtWaVSlWzCVOsk1rRYfxbPhwifilDvo5y3Wq2G0WiEw+GAXq+HTCZj\nopRKpWKnIEozE3xOhDZx7yGnR7X9xcVFfuZSqRTm5+dhNpths9lgt9s3RNjWKo+IMHpFRQUsFgtS\nqRQymQy3AgLg2rdKpYLRaGRInEhws7OzTGYUa+Q6nQ4ajYYdoyh1u1mTBppie55cLkc+n8fi4iJG\nRkaYcU6dJA6HAy0tLbDZbCgUCiyp6/f7WbyLyJQUxFCAQLwIEZnayIk/Nw6cIDKSpfv000/xySef\n4MaNGwAesqDdbjdeeeUVvPbaazh8+DDMZvOGtS6Catvb23H8+HF88sknCAQCGB8f50j5SdrS0hIC\ngQATYogosh12+vRpnD59elveS7RUKoUHDx7gwoULOH/+PJLJJFKpFBYWFvDRRx+hu7v7sR048PCB\ndLlcW279Onr0KGKxGC5evIhYLFbiwCsqKuByubYtOFrPMpkMPB4P/vSnPzFsrtFoUF1djf379+ON\nN96AVqvFvXv38Lvf/Q737t2Dz+dDLpeDXC5Ha2sr9u7dy50AL5JJ+QqkXBUMBjE2NsaoTzabhV6v\nh91uR1NTEzo7O9HW1gaz2czsZGqJAsA9yhUVFTAajUy8IuiYHATBtpup24qwK0HmIvOafk7vS5k3\nOUJy4MFgELFYjO8D6nMWHZt4bkRofq3zRmgDZdz0O41GA5fLVeIYxL8ngpqYURO8LcqOFgoFhEIh\neDwe3hMjkQgikQhCoRASiQQKhcKmMkUxSKFeb3JUJpOJyw3ieSXnS2Q5KnvkcjkeEpNIJBAOhzlA\n0Gg0vG+KfdobkQE3MroGIkmPgoj5+XmMjo7C4/EgGo1Co9HA4XCgra0Nzc3NUKlUmJ+fx82bNzm5\nSaVSMJlMyGazMJvNMJlMzPCnQJaQjM3wNJ4bB760tIRIJIKBgQFcvXoVf/zjHzE9PQ3gofN+/fXX\n8cMf/hA9PT1wuVyorKzcVA17aWkJIyMjuHTpEtLpNBobG+Fyub5TG9TjWjgcxu9+9zv09fU9N8pb\narUa3d3d3NYxPDzMteenbYlEAl988QWGhoaeyuf7/X4MDw8jHo9jeXkZWq0WBw4cwA9+8AO89tpr\nMJlMuHPnDj799FPcuHEDwWCwRIEqm81idnYWbW1tqK6ufirHsN0mMriBb1CnWCyGubk5TE5OYnBw\nEHNzc8hms7DZbCVEILvdjsrKSshkMq4nUyBOHA0R0ibHQL3D4vjRzWZl4iYulpZEyJjY5zKZDCqV\niuFpkeg0OTmJYDDIfeMUQBDzmAKSzToYqsWSsyI4W6/Xw2w2c9IDgCFaCm4oeKB1iL3x5EDpns3n\n8wiFQlCpVOzYN9uvLp5DOu9iEERjVkXillQkhYh4xEwnJnqxWEQ2m+WgjWr+JOpCx0trpHVsxcTr\nTvcZCfLMzc1hdnaW+7wbGxuZbW632+HxeHDnzh3cuHGDa9+pVIq18R0OB+x2O6xWKxMOt1q6fT68\nBB5Oavryyy9x+fJl3Lp1C1NTUygUCqiursapU6fwxhtv4NixY7DZbCUQ1kZGm8fIyAiuXr2KTCYD\np9PJNcknbblcDsPDw5DL5ejp6YHBYHiifcqPY/TAxWIxzMzMcM+9SqVCU1PTY9e/v6vRwzI7O1si\nVGOxWBh+3WmJWpJJTSaTMBgMaG1txbvvvouTJ0/C7Xajv78fly5dwqVLl7CwsAC5XM4ErFQqhUgk\ngrNnz8Jms6G1tfWF0UMXnTe1FIk17+npaRSLRZhMJnR0dKCnp4db/hQKRYlWtFg3Fjd/2mQXFxcR\nDAa5Tko1aXr9Rhu66KBE5rkIdQPfOFIiUolti0ajEblcjjXvl5eXGVEpLy9HoVBgR04QKn3mRkZr\nooyWOjc0Gg0TcHO5HBPmKOCgEgMhBvTZUgU7CkaWl5eRy+WQSqW4Nk31a6qpb+aeFIMgsZ2NkBAK\nvkTIWkQ9aM2kXJdOp7GwsMBdJRRA6fV6btMSz6UUSdnMuRVLGHRvUeC4uLiIubk5RCIRKBQKNDQ0\n4MCBA2htbYXZbMbi4iKGhobQ39+PTCbDnAfiGCSTSczOzqKmpoZb3sSgYzPwOfCcOHBqwTl37hy+\n+uorJlFZLBa0tbXhpz/9KXp7e9ckY21kS0tLCIVCrKdM5AKi+z8JoxuFxs1FIhHU1tbi1KlTLP/4\nLFuxWMT8/Dz6+/tx9+5dZDIZyGQyGI1GHDt27IlK1IqWSqUQDAaZkUpms9nQ3t5eIkKz3UZKYEND\nQ+jr60M6nUZzczOOHDmCN998E06nE4uLi+jr60NfXx+mp6dRWVnJrOqKigqMjY1heHgY586dw8GD\nB/Hee+89Uhf5eTIiHBFyMz09jbGxMUxOTiIej8NisaCurg67d+9m8YtCocCtWWux8wmOJunNhYUF\nzM3Nwe/3s6Mk5bGtPFfiZi7WkqkFixjvtD5SNVOpVNBqtYjFYvD5fNye2tzczGIlhUKhRAcbKGXm\nb8aRi0EFEcSIT5DP50ugWQqa6LjEtiZSs1Or1Xx9aFhMIBBg0RyDwcBiNSJSuNFaRZIbJU4U7FP5\nQDx+0fmKbVfUcrawsID5+XlGtwiJIIEu0kan8/Oo6y0697VIbyIqEI/H4ff7udxlt9vR1taGPXv2\nwGw2I5PJYHx8HKOjowgGg7BarXC73bBarchkMly3DwQCWFhYQDqd5r1eLOu8MDXwUCiEiYkJZpOS\nNTQ0MFntcQhJmUwGN27cgMfjAfBw4/V4PLh9+zZn8jttdHNeu3YNH330EXK5HHbv3o1Tp05x28Sz\nbIlEAufOnUNfXx/36KpUKtjt9qfqwGdmZtDX18dCLmRarbZEUnMnLJVK4erVq7h79y6fk56eHrzz\nzjuw2+1ck7916xbi8ThaW1vxgx/8AAcPHkRTUxPKy8vxP//zP4hGowgEAjuyxqdptJnTpEBxdnYy\nmeTZBLt27UJDQwOMRiO34wHgDJAyMyKPiZtsKpXCxMQEPB4PwuEwZ0A6nY6FXDYLp4q935TBr66u\ncqsSCc4Qi3hlZQUqlQoqlQqJRAKjo6N48OABFAoF2tvbsX//fm5jpcCCsnexF1yKAKxnFMSQkyI+\ngbQ9bS2oXNRfp6SlvPzhpLdQKMSkSp/Ph2w2y8TA6upqVhPbbGYrZuEEiYtSqSLDm0ocUjW11dVV\nXlc4HGYZVmrLovo3nQtR5e5xat90fum+SqfTmJ2d5Zq2TqdDfX098zKi0SgT24rFIpqbm9HZ2YmG\nhgbYbDYsLy/jxo0buHnzJnK5HBOW6XPoXtjsvv9MO3CCb65evYoPP/wQIyMjyOVyMJlMcLlcOH36\nNF599VXYbLZNw6F0c9CIUcroy8rKoNVqWXVoOzb3VCqF+/fvI5vNwmAwoKurC1qttuQ11Ipw7do1\n9Pf349SpUzhx4gRqamqe+VGiDx48wMWLF/Hpp59ieHiYo32r1YrOzk6euPQ0rL+/H3/5y18QDodL\nekpNJhPcbjc/9Nttq6uriMfj+Pzzz3nWe2dnJ/bv34+WlhbE43FcunQJX3zxBfx+P3bv3o1Dhw7h\n0KFDqK+v50CUAsgXqf+bjDZschJzc3Pwer1Ip9MlspOtra2cmUidm3QSldh+lUgk4PP5MDY2hkAg\nwAIvZrOZnQ61U21lzQC4Tk3TpojRTuNBtVotb/7xeBxzc3MYHx9HPB7ntjaLxcJrF3u/KbsX4d6N\n7lHRqdHfiLrowDe91+LfiG1q9Hpy4GVlZaxqOTExwZPeqAzkdrvR1NTEsO9agkobmUgGo7WIx0o/\nI4IbOU7aj4k85vF4kE6nGUWQy+XcW06cALHkQWsUHfNm6vYiwpHJZLC4uIixsTHMzc0hn8+jvr4e\nLS0tcLlcHKwNDAwgm82itraW/9Fo22KxiJGRkW/B+2L/91b2pWfegcdiMVy7dg3vv/8+kyrcbjdO\nnz6NM2fOoLe3d9NwN9WZqA3t0qVLuHLlCubm5qBWqxkG6ezs3Bb2dyKRwPnz5xEMBuF0OlFTU8O9\nnwC4lnL9+nUmWr399ts4ePAgN/4/i0YQ8ZUrV/Cb3/wGw8PDSKfTPJClu7sbhw8fZk3iJ2kU3Y+M\njODy5ct8rqk8Qg/cTsHn2WwWPp8PV65cweTkJIxGI06cOIG9e/fCYDDg7t27OHfuHD755BM0NTXh\n+PHj+NnPfsbKf9RuREpTJITzLAdymzURoiT4nGBuGqNK9f62tja43W4mTknFVygbpxowbYJ0/kdG\nRjAxMYFEIgG1Ws3tZJWVlSWypY+zfiLdzczMIJFIMOemrq4OBoOBCbc+nw8DAwMIBAJQKpXo6OiA\n2+2GQqFg/W+VSlVC3iKHuxUyk+jIxTo6zSQgOFmqWS4qstG5XVlZQSQSwdTUFB48eIDh4WGex+By\nudDS0oLW1lY4nU7mkUinu63nhKQ1ZWKii1CxyGcQ6+G0vmQyCb/fD6/XywlDeXk59Ho9bDYbHA4H\n1Go1BzPk+Oke2oyDFJECsaUrnU7D7/djfHwcCwsLKC8vR2NjIxobG1FZWcmtj6SZ0dLSgp6eHm6D\nU6vViMViyOVyyGaz0Gq1rNAnCrm8MA6cajDJZJIvPvWDvvXWW+ju7t7Sw0jkh/HxcXzwwQd4//33\nWYe3rq4O//Iv/4ITJ07AbDZvSwZO9eEHDx5gZmYG7777LqxWK9+MgUAA169fx29/+1tYLBb88pe/\nRE9PD+t8P6uWSqVw7do13LhxA9PT00wisdls+PWvf42jR4+ipaUFlZWVT3xtYiueaEajEWfOnMH3\nvvc9llHdCZuamsK1a9ewuLiI1dVVnjDX2dmJXC6Hu3fvsghNR0cHGhsbuY0EeKjUdPbsWVy5cgXh\ncBhOpxMWi+WFIbAB3zgaahvz+/1IpVIs1UmTmrRabcksawAlGSMFNyIZbnZ2FoODgxgcHGRJUKfT\niebmZrhcLu4l3ki3+1FGEPX8/DwWFhagUqlgs9k44IjFYtyO6vP5oFar0dzcjI6ODm6ZonYukgYV\nnZfIlN8Mw5tM7FMnIho5WLG/W+wEoGyXeptjsRgmJiZ4GiLJFjudTnR2dqK9vR0NDQ0wm81rlhgf\ndU5F503OV2R6i86TzgMArtXTBLNEIsHCPYT6iRwSuk/o9xTYiwHMo9YpZuBi7TsQCGBpaQlWqxWt\nra2w2WwoFovweDw8Ha+lpQV2ux12u51LPIuLixgYGGDdEgqCSE9eLB28EBB6oVDgGhZdSLqoJpNp\nU9OaSDw/EolgYmICg4ODePDgAa5fv475+XkejXno0CHs37+foevtMCKypNNphEIh/OUvf2FSw8LC\nAu7evYs7d+4gl8uhq6sLp0+fLnHwz6L5/X709/fj448/xu3bt5FOp/kB7+npwdGjR7Fr1y6YTKYn\n3gq3srKCRCKBvr4+lt0Evun3J9nNnRhgQg/f2NgYLl++jHg8zhl/Q0MDTCYTQqEQB6RKpRK7d+9G\nbW0tO+9QKISBgQGWW1WpVDhx4gTa2tpeKCidHHgymeRhOtQGZDKZSghSYnYqJWwR+TMajSISiSAY\nDGJ8fByTk5Pw+/2Qy+VwuVxoa2tDU1MTrFYrOzQRygU2hlPF3xHUTdeM5JwnJydRUVHBrHcaLJLL\n5WCz2VD//1vgSFyE7hfKxgg+J8dFddDNsqdFZj+tUwx6pH3roiQoOe9oNIrZ2VmMjY1hdnYWyWQS\ner2ehUna29tZAIna0DYzyGSt8ymuT+x9FmF0WjOhEqlUismAxWKRr4VSqYTdbmfVQsq2ycRggO6b\nzRDuRAdOo5fn5+eRTCah0Wjgdrvhdruh1+tZIGh1dRVqtRpVVVWs109983Nzc7hz5w6LYjU1NcHh\ncDAKI/ISxGu6kT3TDjyfz2NiYoLhNeCbB0isZaxlYn8pjQu9cuUKrl69yvVanU6HxsZG7N+/HydP\nnkRNTc22ZmYKhQJutxtVVVUYGBjAxx9/jJmZGdTX12N6ehpDQ0MIhUI4ePAgDh8+jK6urm377O02\nqln29/fj7Nmz+PTTTxEIBFBeXg6Hw4E9e/bgxIkTaGlp4ZaIJ21EMLlw4QLGx8f555StVVVV7Zi6\nHm0aU1NTuHXrFjKZDOrq6tDV1QWz2fwtyF6pVKKpqYnroel0GkNDQ7hw4QKuX7+OTCaDtrY2fO97\n/4+9L22O8szOvlpSq/e9W71qV2tFCASyEHjwgs1gj+14JpPJzCQzHyapSiVV+Zq/kMpPSFU+JDWV\nmfLE5bI9tmfxggdjwBizCITW1trdUu/7LqnfD7zncPeDQALEZnOqKEA03fdz9/Pc55zrXOc6x9Hd\n3f2tdOD5fJ6lMOk70mg0TDIDUOOwgZuDHyhYC4fDWFpaQjAYRCAQwOLiIlKpFGQyGdxuN/r6+tDf\n34+Wlhbo9foaScyd1kJpzZSxkmwpyWAmEgnMz88zXC9qrpvNZjgcDrhcLj5bqJ5Pss3FYpGvWXSG\nIry8030lIwiZiHLEFaDsVGzfkslkSKfT8Pv9mJubY/Y0ADQ3N6O7u5tH+FLmTRmuCPnebj+l66Lf\nxTWKaAO9hr73xsZG5HI5hEIh+Hw+FnERhWzsdjtMJhMz8MX6tyhOczdkO3oPmeyGDG40GsXq6ipK\npRKamprQ0tLCCRcFFFQiJdIkCeYsLy/j6tWrmJ6exvr6OhPfHA4HdzDQNYvEvu3ssXbgxWIRs7Oz\nfDMBgNPp3FGNulwuY2lpCadOncLnn3+O8fFxhMNhbqTXaDTo7e3FP//zP2N4ePiBKHNptVocPXqU\ns4zZ2VnMzc3xyL7m5mZ873vfw6uvvgqv17urn73bVigUcOXKFbz77rt45513kEwmsb6+DqPRiJde\negknTpzA6OjoI8m8yWZmZvCHP/wBn3/+OZaWlvjnSqUSFosFXq/3gZLqRKeyvr6O3t5evPDCC5zx\ny+VyzhKoLESZxddff43/+7//w0cffYRMJoMXXngBP/7xj3Ho0KEHpof/KE2sSYoZNY3HzGazNYcv\ncLO9qlKpIJFIYGFhAXNzc1haWkIsFuNBGEajES0tLdi3bx+6u7vh8XhYLETaa71TKFV0TnQ/0bAd\n4upEIhFWUHQ6nXC73XA4HJy1kowqvR85QHH6oKj2ReQ8ANse5tLroD5ryj7pM8R+dWqFy+VymJ6e\n5l8+nw+bmzcGQnm9Xi71WK1WLlmQapr4vdxNsEGBCkHHYuZJ/eH0M7FVdWpqipXXqDZOw1EokyV2\nO6ELtJ8iUW6771vMiGUyGU8ci0Qi2NjY4Kl31LtdLpe5jY3+D802uHr1Kq5cuYLZ2VlsbGygo6MD\ng4OD8Hq93GEhsu53yuoHHnMHrlarMTw8zLAY1UAmJibw1ltvcQazleVyOUxMTODSpUuYmJioGbFn\nNBoxOjqK48eP48iRI0wu221TKBTo6OjA8ePHodPp8P7772Nubg6lUgnPPfcc9u3bh66uLvT29j7W\npDWCzd977z2cOnUKoVCIoS0SKOns7ITdbn8s1hkOh1m4g+pjvb296OzsfKD8Asnh6bgAACAASURB\nVDqUqWdVr9fXdDQoFAp2KH6/H+fOneM2s3PnzuHKlSuor6/Hj370I7z00ks4fPgww77fNqNMVqPR\n8MSsbDYLv98PjUaDdDoNg8FQkz1R9kgs6aWlJRbToHaspqYmdHV1YWBgAD09PRwwAbcyoIG7y76r\n1WqNrnhzczM7YHIsm5ubsNvt/ExYrVaWciVkgNrOyGkTHC1C56TMtdNMjNa51fWIkL80ayam/Pj4\nONfsqV3MbrfD4/HA6XQyqiYGHrR/d+O8pVkwBRKiGA59TxRwUPa9uLiIZDLJymsAoNPp4HA4GBkQ\nkRUpiiOud7v1ie9RV1dXo/qmUChgMBg446fvlERkSNvg2rVrkMvlGB8fRyQSQV3djVkdvb296Onp\ngdFo5PcWv7udIgXAY+7A9Xo9jh07hunpaVy4cKFGnMPn86GlpeW24i3ENI/FYigUCpDJZNBqtbBa\nrejq6sIbb7yB119//YEekA0NDbBYLBgbG0NLSwtKpRLq6uqQSqXwzDPP4ODBg7Db7Y99u9Di4iI+\n/fRTvPPOO1hbW+PDl0RRHrRj3M6IxBQMBjE/P18DoSkUCnR1dT0SVjyJcxBjmgbU2Gw2rK+v47PP\nPoNCoUCxWMTc3BwsFgueffZZ/MM//AMGBgYeezLjvRpxEgiJslqtqFQqyGazWFhYYCa5Xq+vqY8S\nVJnJZPgcSKfTXHe0WCzo7u7mCW+UIQGokSiVOp3bHehbQb+kWEaBIWVd+XyenRuRl2w2G8xmM+Ry\nOWesRFwT2c10iBPpipy7FIG4m/0FbraQiTVlap2jTC+RSGBubg6Tk5M1rXwOhwPNzc3svFUqFQcT\n9B47EUjZak+l1yMl8InweH19PXK5HHMLSGyGnKbVakVLSwusVit3LNDnSB3xToM2KYGNsnf6Gcm5\nUsBB2T51IxSLReZArK+vw+/3s9TqM888w2gGcGtAJSX0Sb9TqT3WDpyGTuzduxf79+9nJ06MvlQq\nhampqS3/LxFEqL+7rq4Og4ODOHr0KF5//XWm/j8MuLe+vh52ux1///d/j0KhgP/7v//Df/3Xf2Fx\ncREvvfQSenp6Hvrks7sxv9+P8fFxDoTIKb7++ut47bXX4PV6H+mwjVKpBJ/Ph8nJyRpWPK3z5Zdf\nxptvvvnQWfGBQADffPMNl2xKpRKWlpaQSCS4H5QOdZvNhp///Of42c9+xq0w31Yj1SwidxEMHQqF\nEI1GWRedxkGKBykJgFSrNzTEaQKXzWbjmndzczOsVmsNZC6tvd5tbZkclVhTpr5jrVaLRCKBarWK\ntbU1npSXTCbR2toKq9XKIjJqtRpKpZJr38RQJqdIjoFg1LvJxqRkO9H50GeIwjMEC9O41mq1iqam\nJrS3tzP5kroBqO1MhHpFp3i3NWb6TmlfpUQzCmLW19eRSCSYV0DvT9wbajm0Wq01BEEqIUgTo+2+\nd+n9QdelVCp5AA3tm9/vh1wu5++TxqFGo1Fks1meFGc2mzE0NISDBw/C6/XydYntfmRicLMd2Q54\nzB04ZVAHDx5EpVKBy+XC5cuXsbi4iEqlwlGvaFQ30Wg06OvrY/IFTSvr7u7Gnj17bhFUeZBGzsTj\n8eC5555DJpPB1atXcfLkSSwtLXFU1tTUxIMNyIrFItdVnU4n2tvba2abPygjklE0GuWJO+VymR+a\nQ4cO4YUXXsCePXuYrPEojFoNT58+jYmJCWQymZoHg9p7dkuc505WV1cHg8EAm82GRCKB6elpvPPO\nO/jyyy/5oU2lUvD5fMjlclhfX+f2nLGxMbz44ovo7Oy8qzaSJ8lEcpJCoYDFYuFDVqlUQqfTsdoi\nQeXkfGlPGhoaoFarYbVa0dTUBJvNBpPJxJm8w+HgZ5scLXAz49xqPVKTZnG0ZjGIoNGbjY2NLD5D\ng1QSiQQrdeVyOR7tSWUAmUyGVCrFUDBJvKrVauj1ei4VADenn92LiSUDMbOtVm+oyAWDQaysrHBb\nlNlsRnt7OwYHB+F2u2sQBIL3aS9Fgh05mp2wu0UUhBw4OW9yvmSZTIa7h4LBIOuIy2Qynrjmdrth\ntVpvUZij67/T93w7kzrwjY0bI02NRiNMJhOSySR8Ph+KxSKuX7/Oo2mptTCfz6Ourg5msxlut5un\n6HV0dHBQSmiL2Oa2FdKy3Z4+1g6crL+/nwkhdrsd586dQyaTQSaTqdG5JtiFWh9GR0fx7LPP4sCB\nA4+MGU1G0MvBgweh0WhYUm9ychKBQAA9PT1obW2FRqOpcYbisIeRkRE4HI6H4jCpHvnNN9/g8uXL\nWFtbQ6VSQXd3N1577TUcPnwYnZ2dD6Ql627XubS0hM8//xwzMzOcydA4yc7OzoeibU+BY0tLC4aH\nhzE+Ps6KUfTvBLMplUqYzWYYjUaMjIzg+eefx7Fjx7jf+9tutBfU/65SqaDX62E2m7GysoJoNMo6\n3qIDr6ur4zJYe3s73G43mpqamPFLOufkDMRWo3sJiMQMmL5fsce4UChwQGG327meOzExgbW1NSQS\nCWxsbCAej9eQmyiQq1ZvKLEZjUbWniBHScjD7Q52Wt+d1k7OR5rx0nAVIqxFo1HOaPv7+1nTW+wj\np2EiouqdiBJs931L1yyuh9YqZvebm5scCIky2iTVrNfr4XK5GAER1yHKr0qZ8TvJasWSA6ECSqWS\nUZ7V1VVEo1EWc6GyCKFmNA2uvb29hh+k0Wh4hCuVfSigkiIYO0WKnggHDtzQsD5y5AgGBweRSCQQ\nCAQwOzuL5eVlfg3VnEmGUaPRMLHgcRnPaTAYMDAwgF/96lfo7+/HxYsXUSgUcOrUKQQCgVsOcEIN\nuru70fb/pTYfxrUsLS3hk08+wVtvvcUZ4+bmJg4ePIi/+7u/g1arfWBqZne7TlF3nMxms+HAgQP4\nyU9+gqGhoYeylvr6ehw9ehQGgwG//e1vcebMGRZtUSqVsFqtTGCh77S5uRl2u/2JmDy3W0YHVUND\nA3Q6HZOC7HY7urq6uGsjl8txViuXyxmOtNlsnGlL26+IeQ2gRo6TPvde1ioS36htichV2WwWhUIB\narUaLpcLBoMBGo0Gc3NzWFlZQSqV4q4EyrTpudFqtTzwRKfTQaPR1KjK3Q0bmUw89EUCXGNjIwcf\nNPb3q6++wvz8PFKpFJqamuB2u3mcsjjQRCStiXtC67uXHnB6HylCQuukboTV1VVGMug7VqlUsFqt\nsNvtrGAoMuLFNuN72T9yqsDNDLyxsZHLuTKZDKurq0gkEshkMlymdblccDgcLMftcDh4aFK1WuWR\nonQ/iwGalFy5U3s8vNoOjNjjRqMRLpcLbrcbbW1tSCQS/BraSKfTCZvN9ghXe3sTmdtqtRperxeZ\nTKamdiaaxWJhGda2traHhiKsra3h2rVrWFhYQCKRgFwuh9PphMfjeaxmU6+trbHcI01ZAoC2tjYc\nPnwY3d3dD6X2TQ8eBQ4AMDo6yt9pY2MjtFotP9gkPKHRaB6LQOhhmuhY6NCmTMZgMPAsbZrjDYDR\nC41Gw46PHIjIVAduso+ln3kvJn6G6AyJfVwqlbC+vs7sZI1Gw+p67e3tSKfTHIyI7HIA3EtusVg4\n0RCVJe/FAUnXTsE+6YUXCgVEIhHMz89jZWUFxWIRBoOhJpsl8Su6XoLepdDyTjNw6ZrEfaXggJAC\n2msSTiGyIg0k0uv1LOna2trKTG4iitKwGVq3eF/cTZBBAQWts66uDiaTCV6vF1qtllsWCQFWKBSw\n2WwwGo38XapUKlaro/eggJOCTrG8cTuexhMPoUutoaEBVqv1kQ3KuF8jXe7+/n709/c/6uVsaaFQ\nCDMzMzUPhs1mQ7lcxsLCAh+kj4p8R1KcNIaS1knW0dGBw4cPP/S+9MbGRtjtdrz66qsP7TOfNBMP\nf/GwovICAM5OxBYbyqgB1GSGYo1cOtjkbrJDqYkHp5gpbW5uMmRPzoNY5gqFAiaTic+mUqmETCaD\nfD5fA5OStrtKpeLJeGLgsZM1i45+q/8nOiJyaqS4Fg6HWW6YCHY0Qzwej/PAl61IdfQ5t/vcO61X\ndFQidE7BQqVSYQGuSCSCSCSCRCKBQqHA5YaWlhaWxlWpVPx/RGhfRC92mt1K/11aelGr1cx8l5YF\niNdBn0swudjPTt+xGBBK6/bi87CTbPyJdOBP7cFbIBDA1atX2TGur68jFArhd7/7HS5evIjDhw/j\n6NGjDw2ello6ncbHH3+Mjz/+uGadZM3NzQ9U8/yp3Z/dyRmIh7DonOlgpAOZatJiHVV8v/vJXoGb\nB7oIyRK5s1Kp1PRzAzeJn3SYU6ZuNpthNptrWrnogN9KvON+1k3rlNZUyUkQCYzWnEgkeHgOCeh0\ndHSwshll7jKZbEtFs3uB+aV7LCIFlH1HIhGEw2FEo1GkUinuv9doNDCZTDAajTxRjlAQcRDMvaAD\ntzPpdYtBkbRcIfaxi6NM6TXiABlRfU7ci7uxpw78qW1pFosFra2tmJ+fZ1EUmr0sk8lYiP9RGY0P\nrK+vRzabBXCzhNLd3Q2v1/vICXZPbXvb6oCVOh1pL+5WPxezuLvNZKUmJTxRWxMR0ICbtVExuwLA\n/05qYiJ7nV5Df5YSrO51vXe6BjEYInKfTCZj4iA5FCpjiP9f/PtWwda91uilfxdRE9JNoLVSmx1w\nA6YmJrjBYODSk1Q7/m6Rge3WKQ2E6Hdal/SapCQ/cYiM9P3E/78TyFxqTx34U9vSOjo68L3vfY9l\nIuVyORMEDx06hGeeeeaR1sKVSiX6+vqYuV8sFlFfX8/Tv/r6+h7Z2p7anW2rA0pa993KuYmHPZk0\n8xEVt3ZjndL6r0hwos8Xe5dF9jIR6sQgQEqo243M+3b7Sb+I1U3rISja7XZDq9Vic3MTZrMZTqcT\nZrOZeRnitdD6pNd+P/ssMtHF1jRCVRoaGphXQARlq9XKg6wUCsUtJDBal2j3EmRIHaz0+5IiEeJ1\niDwBUS5WWjIS0aWtApud2FMH/tS2tM7OTrzyyivweDzI5XJQqVTwer3o7OxEc3PzI9U8B25k4Ha7\nHf39/RgaGsL4+Djkcjna2trw2muvPdaDYZ7anU1auxYz2dvBjHc6DHfLpP354iEsst1pzSI5i14v\n/l/6fbey7q1M6nyoHaparcJgMDC6plKpWB6U5mmLqm0PokNC/J7J0ZVKJZbFpb50GrlJ7YMmk6lG\nglQq67pb0LloW5HKpJ8hOuatggnpPbob9+pTB/7UtjSbzYZ9+/bB7XajUqlALpezaMbjoNtOjM6R\nkRE0NDTw7Ge3243u7u7HYo1P7e5tq0x3u4Nuq9c/iHXR79LM83Ykqa0y9gdt0oBAShikqXzkyCk7\nFPuZqX6/VSlit/dWDNLo73K5nDkDNpsNpVKJ++3NZjMMBgPX88Vr3E3byftt9Zqt4HHiUNDftwoG\ndvqZt6zhYd5c29hjs5Cn9tSeYHvsJNxmZ2cf+LO9VTb0qG2nzOyH8bliaUKEnLfiFWwF8YrO/EHu\nrchnkJZTRKRDSiB7HG2rWvydykfbmdfrveWFTzPwp/bUntpT+5abmPVJ++S3IlTd7u8Pw+4kJfwg\nCH8Pwx7UPj514E/tqT21J8buVN+83eH+MJ3QVmt72E5wu897HNCJ29lOmNi3uwce1XXdLxP/fuxb\n6cBTqRSSySQKhUKNBCApOen1+lvaJp7aU3tqj5dJHTIRnWj0pkheEntub0d4u9+D83ZO43asZ+nn\nb+d0divouJfM9HYliJ1mvA9iveL+idC/VHVP2pmwk/fdbduKmS5ew1aliDutcaf2rXTgZ86cwTvv\nvIPx8XHkcjn+eW9vL8bGxvDKK6+gpaXlKdHpqT21x9SkilobGxsoFotIJpOIx+NIJBI8zYv0yUV1\nQJVKxSIkDytQF52LlJkurevezuk8TJPWxUUT2fXi68V/f9AmOj4Sv8nlcigUClhfX2clO41Gw4NB\ngPub4LbTdUkDC1ofBZd0DxA5kH6JUrlbBSR3a98aB16pVBCPx3Hu3Dl8+OGH+OyzzxAIBGr0sWOx\nGKLRKGKxGF555RUcPnz4Wzu68btoJK86OTnJgyRMJhMGBwcfeV94oVBAMplEIBCAz+dj1rzBYIDV\naoXT6eTBJt9l26rFhibyBYNBzM/PY2FhAYFAgPWxafpTU1MTnE4n7HY7bDYbj+a8n2EmO13zVoQr\n6mcm5yidDHantqd7dZY7RQOk6xf/TRp83C67FNd2vz3h0vcVM+tqtYpisYhYLIa1tTWkUimUy2Ue\n3UtOUlzLg/iupY6bprTlcjmk02lWtKPBKxRgmEwmWCwWmM3mGjlV6T1zL0TMb40DL5fL8Pv9eOut\nt3DmzBmeUiZuAgnjLyws8Pg8t9t9ywzup/ZkGR0wsVgM09PT+P3vf4+LFy8iFoth37590Gq1j8SB\nE9ybz+d5et7Vq1dx+vRpjI+P8z1I84KPHTvG/fXftftRhGzFXyRPGolEMDs7i8uXL2NiYgLBYJDF\neygIcjgcaG1tRaFQgEwm46xH6ojuxe7U8yuTydg5k6iLKOwB3Gx1EqFUKYv6fjLcrRjPUpP2KANb\nD36RKomJAjmiw3kQsLn43rSOUqmEZDKJlZUVzM7O8gCr5uZmdpDiHoptfffaay29Run7rK+vo1gs\nIp1OIxwOY3V1FcFgELFYDJlMhgVzdDodT3kjhy6T3arzf697+a1x4MViEYlEAsFgkEX6tzJR0zsQ\nCODf/u3f0NHRwdrAT+3Js83NTRSLRXzxxRd4++23cf78eWQyGTidTgwPD6Otre2RrItmql+6dAmf\nffYZzp49WzPHXiaTIZ1OY3FxEefOnQMAtLe3w263fyfvR+lBRvBioVBAIpGombHtcDigUCigUCj4\nMF1cXEQ0GkU8Hq+Z/iUG6FvVrO/WyDmLgVapVGL4VLweUj8jBy5tf9qqlWs3TOpope+7lRMXJ65J\nXy/NiO+Ule/mmkkJcmFhAZcvX8bk5CQ2Nzdhs9nQ1tbGnCaVSoVq9VbZ0u2Qjp2YGAjQZ+RyOcTj\ncQQCAczPz2N+fh6BQKAm+5bJbvTdx+NxyGQynvtOGu7ioCh6/d2u71vjwBUKBdxuN370ox9Bq9Vi\nYmIC3d3dAG4MvkilUojH40gmk6hUKlheXkZDQwM++eQTHDt27IFnaMViEUtLS1heXq6ZW00mRmsK\nhQJyuRxGo/Ghj5vc3NxkzfNSqYRSqYRoNMozeePxOFKpFL++vr4eKpUKbW1t6OjogMVigVqtfmgO\naHNzE/F4HCdPnsSHH36Is2fPIhKJYHBwEC+99BIOHToEp9P5UNZCVigU4PP5cPHiRXzzzTeYm5vD\n5OQklpeXUa1WYbfb0dfXB4/Hg4WFBUxNTSGdTuPMmTPweDx44403YLPZvjNZuLSeCICdRWNjI9Rq\nNc8LL5fLMJvNnN1Wq1Xkcjkkk0mkUikUCgUEAgGe+EeztsVn6F6gSjETEyUzS6US8vk8l+bS6fQt\nutyUeRkMBiiVSp7wRdPX6EAn5ymOstxqvbczaRZK6xX7pklrvFAo8NjWYrGIfD6PbDbLg1poIItK\npYJOp+Oxp3Qeifu/W85cGsRQhjs1NYUrV65gcnIS2WwWHo8HPT098Hq9sNlsaGhoqEFApMps96qN\nL83gK5UKCoUCYrEYAoEAlpeXsby8jLW1NcTjcWxsbMBoNMJgMECtViOTySCZTMLv90OhUECr1cJq\ntcJisfDMcwAcDBIsfzfCNN8aB65SqdDe3o5f/OIXvFHPP/88gBvQ+erqKhYWFrCwsIC1tTVkMhkE\nAgF89NFHsNlsDHHs5qFJzpAG0585cwZfffUVpqenb3mtWq1GU1MThoaGmJTR3t6Ozs5OuN3uh1Kr\np+gyEolgdXUVoVAI2WwW8/Pz8Pl8iMViWFlZwdraGv8fgjBHRkZw5MgRdHZ2wm63w2Kx8DSjB7nu\nbDYLn8+H3/3udzh37hwikQhcLhdefPFF/PSnP0VXV9dDnUhGDuTTTz/FH/7wB5w9exbZbBYNDQ3Q\n6XTQ6/XYt28fRkdHMTQ0hFOnTiGXy2FpaQnj4+NQqVQ4cOAAzxT+tpvo6ERCj0x2QxNbLpdDr9fD\nbrdjY2MDTU1NjF7QgUo1yFgsBr/fj2w2i+XlZVgsFq6NU0ApDiERP/tO9+hWjGyamU3IwMLCAoLB\nIOLxOGfilNFqtVqYzWbY7XZoNBoolUpotVrY7XbY7XaoVKoaxyPWoMUJa7cz8d9EaVIpEa1SqTAJ\nkALxZDLJE8lSqRTPuSblM5PJBJvNBofDgZaWFlZjpNGaNNucrpWCkO3WKd1b6c+q1SoymQxWVlZw\n5coVXL9+HaFQCG63G319fRgZGUF7ezvkcjl/F1shDVtl3zspVUhLJJubm8jn8wiHw5idncXU1BTm\n5uYQiUSwsbEBhUIBp9OJjo4ONDc3Q6vVIhAIYHp6GtevX+cRzJ2dndBqtdDpdCxFTURLMQgRA487\n3ZvfGgdO0XpDQwNef/11vPDCCzyNqlKp8M07Pz+Pd955B+fOncPi4iIuXryI4eFhjI6Owul07mq2\nWy6Xsby8jC+//BKff/45Ll++jFAoVMOMF9ff0NCAU6dOoa6uDkqlEm1tbfjpT3+KH/7wh9DpdA+F\nTZvJZHD27Fl8+OGHOHPmDDY3NzkTp0OJDjyx9ry2toYvvvgCVqsVHR0dGB4ext/8zd/A5XLxQ/4g\nbHZ2Fh9//DEuXbqEcDgMm82Gf/zHf8TLL7+Mzs7Oh4peAIDP58Onn36KX//61/D5fAypeTweDA0N\n4ZlnnsHIyAj6+/uZQQsA//M//4NYLIaZmRlcu3YNZrP5kUH/D8ukTpTYvMDNEZ4y2Q39brPZjMbG\nRh4nKiUCFQoFRCIRXL16FVevXkUwGMTCwgIT29RqNb+nqK1O67jTGkWImXgN5LxXVlbg8/kwOzuL\naDSKQqFQk02tr69DoVCwwwNuHNhOpxNDQ0NobGyESqXijJaCCymDHdjeiUsZ5XSmNDQ0oFAoIBqN\nYnZ2FgsLC/D7/UgkEshms8wloCydnFU+n0cqlUIwGMTs7CwsFgscDgfcbjeam5vhcrlgtVp5Lrr4\nPd7NPUC/i4EUnSs+nw+Tk5NIp9NoamrCyMgI9u/fj9bWVigUCt5jgq2JOCgy0SmoEYOL7ZIKkadA\nZZxQKITp6Wl8/fXXmJmZQSQSgU6nQ3NzMzo6OtDV1YX29nY4nU7I5XI0NTWhrq4OoVAIhUIBq6ur\nWFlZgcFg4MBD/DxxzKwUhbmdfWscuAiX2Gw22Gy2W17jcDhgtVpRqVS49phIJDA5OYmLFy/i+eef\nr2Ez3osRVC6Xy1EsFvHee+/hzJkzmJiY4FqImBFWq1WUSiUUCgVm0gM3DrBYLIahoSE8++yzDLU9\nSKN67bvvvouvvvoK8/PzAACtVgubzYa+vj60t7fzFLJCoYBUKoVYLIZEIsEZeigUgt/vRyaTwfHj\nx/HMM8/wpKHdtuXlZVy4cAGxWAxWqxUHDx7EkSNH0NXV9Ugy2HQ6jUAggLW1NRSLRVitVgwODmJk\nZAQHDhxAV1cXPB4PLBYLAKC1tRV9fX1Qq9UIh8OIxWL48ssv4fF4vlMOHKh1UJRVra+vM2yt0+lq\n2rREW19f56l0iUQCiUQC4XAYKysraGlpgcVigVarvaU1aicHOR2uxWIRmUyGy3Grq6tYXl6G3+9H\nKBTCxsYGt7RVq1VGCDY3NxnmL5VKPIjD4XAglUqhqamJSwaisxYzsq3sToxzmpUul8uxvr6OWCyG\nubk5XL58GUtLS4hGozxDW6vVorm5GU6nE0ajkfee0A2aE55IJJBKpeD3+xGJRFAqldDY2FgDqYut\ncjs1ct5iEFAsFhGJRJjXoNfr0dvbi8HBQbjdbjQ2Nm5JApN+rohIiIHNnb570ZeQAycyJfFXlEol\nPB4POjs70dnZiba2NjQ1NcFqtUKv16O+vp7RH51Oh0wmg2g0imAwCJfLVTMffmNjo0YvfSedA2Tf\nGge+E2tsbITNZsPRo0cxPT2NS5cuIRQKwefz4dy5c9i7dy90Ot19ZYzZbBbnzp3jrOCtt97C3Nwc\nyuUyrFYrmpuba8Zwrq+vM5SVTqdRLBaRzWa51rK8vIzFxUXY7XYolcrd2IZbjLLsiYkJfPjhh/j4\n44+RSCSgUCggk8ngcDiwb98+vPnmmxgdHUVXVxeAG4I54XAYfr8ffr8fMzMzOHnyJObm5nD+/Hks\nLCygrq4Ora2tNTDmbhj1BS8tLWFqagqVSgVerxfPP/88vF4vDAbDrn3W3ZhcLofBYOBrbm5uxhtv\nvIFDhw7B6/XewjA3Go1wuVxQKpWQyWTI5/O4ePEixsbGHsn6H6RtBV1KoUoxI6dsm0g+lJVQhiI6\nisbGRhgMBrS0tCAcDiMcDmNmZgZra2sIBoNoa2uDSqVCY2PjLcNH7nSQ07orlQpyuRzC4TACgQBW\nVlbYkVGJhOqber2eiZXZbJY5JeTAKRBIJpMsOEXsZDHbp8/ejqks3VdqYaPnjbogJicnMTk5iVgs\nxgGPxWJBS0sL9u/fD6/XC6fTyQ40m80yuhYIBLC4uAi/349AIIBsNguFQsHXS+u/n3uC1l+tVhmu\nDgaDKJfLnEB0dnZCo9EwEkIIA+2XmNWKiIRIJNxJyURk4ou/KxQK2Gw2mM1mmEwm9PX1obm5GRaL\nhddC76FUKpmHUa1WmbGeSqVQqVSg0WhqUCcpbL6T/fxOOXDgBnxlNpvx4osvolAo4Ne//jVWV1dx\n+fJlrKyswGw2w2w23/P7p9Np/PGPf8TExARSqRRHqnq9HocPH8Zrr72GI0eO8OsrlQqTxFZXVzEz\nM4PTp0/j0qVLAG5kmJcuXcLg4CD0ev19X/9WViqVsLCwgFOnTuFPf/oT0uk0TCYTrFYr6urqsGfP\nHhw9ehSHDx+uIYRpNBruXR4cHMTY2Bj27duH3/3ud/jwww8RiURw9uxZOgMkKQAAIABJREFUuN1u\nvPnmm7Barbu25mKxiMnJSVy/fh3BYBBKpRL79+/HSy+9xOMGH4X19/ejqakJhw4dAgCeu2wwGLZE\nIXQ6HZqammpYqOVy+Y61xG+DibU+4MaBRbVAyuRo2pRIaqIMr7Gxsca5yeVyKJVKuN1uFItFlMtl\nRKNRFItFrK2tIZ1Ow2w2M1t5p+IZ9BnlcpnRlampKczOziIcDqOhoQE2mw39/f2MrtDBTAQ3ctgr\nKyuYm5vDysoKNjY2EI/Hsba2Bo/Hw9cgQsh321ZGryHSGkG/1MI4MzODRCLBJQmbzQan08loj8lk\n4r2nmeFUq29ra4PL5cKlS5cwOTmJeDwOv98Pl8sFo9HIPc73QmITr1Umu8E8J2QvnU5Dq9XC5XJx\n2xjtLTnMxsbGmpnwdE9InfDtGPa320v6vw0NDVCpVLDb7aivr4fL5UJjYyP0ej0T+0SOBX0HRAIk\n1U+6HwiVUSqVvCbaO8rK6fO3QzO+cw6cHhSv14vDhw/jww8/xPz8PMLhMB8Y92NUPwqFQgiHwwCA\npqYm7N27l5231+vl129sbPDM7XA4DIVCUUNyo4f/XvtXtzNqq3v77bdx8uRJhEIhyGQydto2mw3N\nzc0MnYsoAD1A9DOKxKPRKBKJBM6dO8fZ+LFjxxg22g3b2NhAOp1GJpNhZrLb7eba2IMm/N3OiKWr\n1+shk8m41el2101iEOJDuputOY+jSUlX4ndFdVsRViXUgqBhOlSp/kmHc7VahUKhYIdjMBg460kk\nEmhqauJsaKfrJAiV2NuJRAKrq6vw+/1Ip9NoaWlBW1sb9u3bx1A9tbaJylzZbBbVapVhVGonzOfz\nW9a9xSBjp/eyiGBsbGxwFnv9+nXMzMwgHA5z0N3R0QGn01lD9FMqlUxkpSxeLpdDo9HAYDBAo9Gw\nE1peXkY0GsXCwgIH+gaDYUfnlHg90nudPp/2p1KpwGg0ctbb0NDA9W5yeqJYl3QfxF87cYjiOuh7\nAW6cdUajEUqlkueVk7IaIbZUi99KLpU+f319vUapjfhZogywCKVvt9bvnAMns9lszAjc2Niokei7\nH6urq4NWq62Bizs6OvDiiy/i2LFjcLlcNa+ndhdyfktLSzW1W4qmd9vo5ohGo7h69SrefvttDhyc\nTifGxsbwt3/7t2hvb98xi7uxsRFutxtjY2NIp9OYnZ1FJBLBxMQEAoEArFYrEwvv1yhKz+fzqK+v\nh9FohMlkemAoxd1YQ0MDTCbTjl6bz+eRTCbv+757kkzMnKW/0wFGzlok84gCKfQ6cvDiQajVatHU\n1AStVsuyqwRVS2u02zlHkRxGdfBcLodcLodqtQqLxQKv14vOzk6YzWZ2LPS+JCRDbUQUeNBZIzoC\nsUQgFSPZal1k4r/Tn0ulEiKRCObm5nD16lUsLi6iUCigpaUFAwMDGBgYgN1u55ZPhULB10hBFQUv\nxEhXqVSsOBaPx5HJZLC4uAin01kjZ7oT+JeuU3odVK4gRbP19XUYDAaYTCZGNmg/ZTIZt7sSeiFm\nzrR+USefsnTpHkr3lmrTtC6ZTMZyvVTaEV8nk8lqEkDaSyqfUNlHRBsoMBTRBNqDndp31oFLrVAo\nYGJigmuX92qU4ZPTraurw8DAAI4fP35PGSg9+LvtxClyPXXqFH7zm9/A7/ejUqnAYrHg+9//Pp57\n7jm0t7ffE4vb5XJhaGgILS0tSKfTWF5exh/+8AfI5XKMjo7uyvoLhQLGx8cRCAQYxtyt4OBhWi6X\nQywW40Ph226iQ6S/AzdFWwBwBrjV4S4emnQ4E4RaLpf5/1KLE8HI+Xy+hsG+04OSHAJ9jtiT3tjY\niO7ubg5yKbtSKpXcsUGtqQTDU6BGXAm73Q6j0Yj6+nqu6Yr7RGvY6Tpp/zKZDJaXl3H9+nVMT08j\nn8/DbDaju7sbvb296OzshFqtrhkQQ45K1I8vFouoVCrcv26xWNDW1obFxUUsLy9jdXUVa2trcDqd\naGpq2tZ5S/9Nir6QU6O2tnK5DK1Wy0lEsVhkZyeWYcS/i3Vv2setsmKpSTNfCvakKJCYaVMph+5F\nCjJF0lsul+P9BcABhYjSUGeEeF8+rYHfhRFTVArH3K1ptVocOXIEpVIJVqsV7e3teOGFF9DR0bEt\ntFsqleDz+RCJRPhnDocDPT09u94ORQHLmTNncOHCBWSzWTgcDgwPD+PEiRMYGBi45/5pnU4Hj8cD\nr9eLQCDAEqdbCdjcq62vryMcDiObzUKn02F0dBRtTyBrm0okBKt910wqsiE9eAHUZFPia6TolHiQ\nixm7qKFwt86b3qexsREajYY1I3Q6HXQ6Hfr7+7lVUqxf01op4y4Wi4wYkcwmIW/k3EUnKl7jTtYp\n1r2JV7O8vIyFhQVkMhl23l6vt6YUthU7W8rUJydfV1cHjUYDp9MJh8OB1dVVxGIxxGIx1qXfzrYi\nrYl/pr0gwp9arWbir1qt5vox3R/EtidWOjlCaV/6dhC6FMaX3oe0t2IXhPTeIyidnD8FRqJADxEy\nKbCjGj4hNd9ZIZe7tQd1WOp0OrzwwgtQqVTw+XwYGRnBnj17toVUK5UKEokExsfHEQwG+TByu93o\n7e3ddQZ6NpvFl19+iW+++QbBYBByuRx9fX04fvw4Dh8+fF8ohEKhgMlkQmdnJ65du4bV1VUsLS1x\ni9z9miiiUSqVYDAYMDY2hra2Nq45EnQFgB8Q2lPKch4Ho9oqPeR1dXXQ6XQPrOPgcTDRmYrOgrJW\nEWoUa5jAzedWrE+K6m2NjY0sa0rvJbY53Y0ql9SBa7VaOBwOyOVyNDc3c7eBxWKpIdzR+9IhT847\nGo2yUhsxlLVaLQdvJAhCa5OiFVtB5fRncgblchmFQgFra2usEtbQ0IDm5mbs2bOHuQEAeI+kaIgY\n8IjPSrlc5iycauaklkayoNvZVtC/WOcngloikcD6+jr0ej0LyDQ2NiKdTjNsTmQ7IoPRtZBjFfeV\nSjLiGnYK85OJzyh9t4So0N+lEL14b1KgIU4lI6evUCg4UBJ1DrZb5+Nzkj0CexBkocbGRng8Hrzy\nyiscQe4kk41Go5iamsLly5exurrKbSlWq/WBQOjZbBZffPEFZmdnIZfL4Xa7ceTIEZw4cWJXWrDk\ncjmcTicMBgOKxSKuX7+O1dXVXVg5WJQiGAwim83CZDLB4/FArVYjmUwiGo1ifn4eKysrkMlkaG5u\nRktLC7e93E+XwYM2tVqNoaEheDyeR72UB2Ii61wUGqHDjLIPMQOl/0PZFXAzW6QDv1qtcumqWCxy\njXZzc5PhdJEYR2vYqROvr6+HUqnkKWebm5usw93Q0FCjwS2iA8Q2X1lZQSAQYKU2i8XCLG+6Hqmk\n5k7PJzHIKZfLSCQSmJ+fh9/vR7FYRGdnJwYHBzEwMACLxcKwL4CafSHnIZb/SKSFEEq1Wg2tVguj\n0chcHSpP3M9ZKgZmNDaWpEmNRiNkMhkSiQS3sJETV6vV0Ov1UCqVUKvVLJtL3zOtXdrxsJ1J27nE\na6N/k9avRTlcShjEoIgkdenfSOOASK4ii36ne/mddeBzc3M4ffo0otEoKpUKOxyj0Xhf70s3/U4z\nKNLN/vrrr3Hq1CkegWo0GvHss89iYGAAer1+V9uiMpkMgsEgM2m1Wi3GxsZw4MABeDye+xazAW4S\n2oiZSg/5bhiNl0wkEtyWMTU1xe09a2trPHkOAMxmMywWC1QqFQYHB3HgwAF4vV6o1epHxlYnS6fT\nCIVCHMk3NDTA4XA8FmS8B2XiQSqtgUqzbSmxirI1ymykjOZcLsctmblcjrMvgjRpjvROTTxMSdaV\nPls8uEXYHgATYxOJBGZnZ3Ht2jX4/X4UCgVoNBq0trbC7XZz/Vt04HQv3K1DrFarLNu8uLiIdDoN\njUaDrq4udHR0wGazQS6X12SGtIdSwhwhCuSkKVAiB0Tz1sXa/nbrvRNpjD6fxG9IMKVQKMDv97P0\n6/LyMjKZDKMsxJBXq9Ww2+3weDwM9VPQRd+76MSl5+lWtefbMcLFZIpaxKhNjPgDdC9SeaFarUKl\nUnFCBtw4+8mxE9y+1T6KCIXUnjgHLrL4RBKAeNG0EbSZ9GWJgv5ff/01PvroI4RCIXbgdHDeDYng\nXoweICKafPbZZ/j0009x/vx5JBIJ1NfXw2q14sUXX8Tg4CDLbe6WBQIBjI+PIxaLoVKpwG634/nn\nn8fAwMCuqZfV19czc3S3bX19HYVCgWUgk8kkPvnkEwSDQVy+fBnxeJyjW6o10Xc5MjKCSCSCarWK\ntrY2DtgetiOnLCsYDGJqagrFYhFyuRw6nQ4Oh+OJJORtZ1IYnMhoIvmIDit6tun3jY2NGhEcqsnS\n801OvVgsYnl5GSsrK8xi3tzc5IxNbNnZzmgt9DvB8bR2Wrco/0qM+Ewmg3A4jPn5eUxNTXEbF/UT\nd3d3w+12Q6vV1mTs20Hnt1sn3U80c97v96NcLsPlcnHLmFqtrkEKRDRCvEbafxEFoKlqdJ3iVDWx\nNrzd9y+F0KXXSkx/GriSTCYxMTGBcrnMAj0i4VOlUjGT3ul08qAlh8MBo9HIzHi6BhFivxOhTrq+\nrQJGmUx2S6ZNMHk6neY+/2w2yzMjqG+e0BIx4CO/JXZebLenT5wDF/ViSQUsGAzWkM/W1tYQi8VY\nxo60hqm9a21tDZ9++im++uorJl8QW7VUKu2YPHKvRhnpyZMn8d577+HChQvcG7q+vg673Y6enh7s\n2bPnvmrRt7OzZ8/iv//7v5lURgM2dhO23djY4Cj6Qdrm5g3N5Pfee48hLYL9Ghsbufd3Y2MDc3Nz\nuHTpEms7//Vf/zVefvnlR1ITpz72K1eu4PPPP0cmk0FTUxP27NmD0dFRNDc3P/Q1PUyjQ5EC8Hw+\nz5kStVnR80gHGzkWcsp0eBPsTO+zsrLCGWhdXV2NgEapVGKIdadrlNYjyWGJ9U4KLiqVCtbW1jA3\nN4eZmRksLi7yGNT6+no4HA709vaip6cHFoulRiWMrp2u8W6M1kMCK4lEAjqdDi6XC01NTVAoFCiX\nyzUlAbHeKpL+6P3od1oXcQkoSyZno1Ao7voZkgZztCYKRIjUlcvlMD09zbKucrkcJpOJ9cSBG7X5\nWCyGhYUFbhns7e2F1+uFx+PhgIOuf6frIwcq7pGUUEmOl4IDyqYjkQhLKlcqFXbeHR0dzB8g3yOS\nGKvVKmf10j3ayp4IB55MJvmhWF5eZtEVglGlfbSpVArZbJZrI5SF0Y2WSqWwsLDAkoIymQypVAof\nfPABj/Uk5azdtkqlgtXVVbz77rv4y1/+gkuXLmF1dRXlchkqlQp9fX04dOgQnnvuOXR0dDyQDDYU\nCmFmZgaFQgFdXV04cuTIrkq1rq+vI5lM4vz581haWoJSqWSR/wdhxLolRazvfe97PAlNr9dDoVCw\nctv58+dZ7Y4mQ42MjOxqxkuH3urqKtc9aQIe9d4CN3gPFy5cYKifsm+TyfTQh7A8TKNDkZ7heDyO\ncDiMfD6PUqmEcrnMvdZETqLAnf5dJrvRl6tWq2sEMEqlEuLxOCsgkkSt1DHu5HAU10smnRglZnP5\nfB7xeBzXrl3DxMQEfD4fUqkUqtUq9zL39PSgr68PNpuN6/VAbRYrZsI7Zc3TfpIGPAmgNDc388AR\nWqeUAyDCy0QEpPo97Zf4M5rAVigUmE1P+7ydSevQUsIf7TH9uVQqIZvNshobkQa1Wi3X7wuFAhYX\nF7G6uopUKoWZmRkAYMU54hBJ13c7aFokL25FuqMZEMlkEplMhmvy1KlQX1/PQ25SqRTXuVUqFXci\nEZGRggsx0aG9FAl4t7PH2oHTTenz+XD27Fl88cUXLEpAxJXtbCvIRmq0kRMTE9i/fz8KhcKuQ5j0\n0IfDYXz99df4z//8T8zOznLvp16vR3NzM44fP45XXnkFY2NjnEnuthUKBaTTaQBAd3c3nn/++V25\nXtpbEng4deoUFhcXYTAYcPToUdZQ320jdrnX68UPfvAD/OIXv4DL5aqpVdFDbrPZUCqVMDU1hdOn\nT/OQhN0UmCEW8IULF3DhwgUsLy9zG113dzfPs47FYjwwhq5jY2MDa2trTMoh9OjbZlRTjcViWFxc\n5MOOZFDJgYuZkJiRUyuOqMxF2Q85eplMxhPfKKMju5NTlELXIswrwsoiFF+pVHh61sWLFxkyJ+1s\ncj69vb3o6uriOihB+hRciMIuYk36ThC1iGZQUkPDNDweD8xmc41sp7ReT9dFfyZSIRGrCBaWyWSI\nRqNYWlrCysoK8vk8j0rVaDS3PavudE6LaxEha0JVqFTS3NyMoaEhDA0N8VAa+s7L5TIWFhZw9epV\nXL9+HSsrK1AoFDCbzejo6ODznQhtYqnmdiaWNGj/6Z6NRCJYXl7G0tISAoEA0uk0KpUK96vLZDIe\n8JTP5/lzSqUSkskk6wlQAkGthoTikFwslS2e2Ay8UqkgEAjg/fffx//+7/8imUwil8vdN+NRaq2t\nrTh8+DB+8IMfYGhoCE1NTbuefROL87PPPsNvfvMbBINBrtMbjUY888wzePHFF3HixAk0Nzc/NDlQ\ni8WC1tbWXRs0srGxgampKXz88ceYmJhAPp9Hd3c33nzzTezdu3dXPkNqDQ0NaGpqwrFjx/Czn/0M\nNpvtlsNEoVCgra0NP/zhD2Gz2fAf//EfyOfziEQiuyKhS5bL5Xg++ZkzZzA9PY1yucyCGJcuXeID\nkup9ZH6/H59++ilyuRxGRkYwPDyMffv28WH/bTFyGHQY+nw+TExMcIsVEYKKxSI7YZVKxXO0iduS\ny+VYbpPEXCiwp3YnmmNtt9sZjdkpG/lOjpx+TkFXKpXC4uIirl69iunpacRiMdTX18PtdqO9vZ3H\nTba2tsJqtXLGRX3BhCwolUpGCikz3gkjnZxdoVBAsViEWq2G2Wxm0pRY1wZuOihCJ4lvQIEAXZ/Y\nX55OpzE3N4fx8XEsLS1hY2ODgxODwXBL//h2+yn+TPwzvQ8hAGq1mkcUd3d3M8dAoVCwc9ZoNNBo\nNNyJQtLUyWQSOp2OkZqdfO/0GrEtjNrlIpEIZmdnMT09DZ/Px2z5hoYGaDQa9hvUGkoCQ/F4HD6f\nD/X19TwHvr29HRaLhcm0RH6moISy7yfWgYvEDKpzS9mTZKTpK0Jr1WqVCS1bmV6vx+joKEZHR3nc\no9Vq3dWpWWT5fB7j4+M4e/YsLl26xNN8XC4XTpw4gUOHDmFoaAgdHR33LKByL0ZDIO43WMjlclhb\nW8PFixdx+vRpnD17FpFIBC6XC/v370dnZ+d9M/zJqCeXtImr1SrUajWamprgdrtrRDXIKLJtbW1F\nIpGAWq3G2toafD4fQqEQrFbrfZUrCoUC5ubmcPHiRZw/fx5nz57F8vIyw3+kk61UKrGwsICFhQX+\nv0S2K5fLCAQCOH36NFZWVjA+Po7+/n7s27cP/f39sFgsD3S2+sMyMWOkMZvxeBz5fJ4PQvoOiVFM\nvfHEgl5fX0c0GkW5XObarEwmY6a0yWRCS0sLWlpa4PF4YLfbYTab+bVk2x2QIgtZ2hZEzpsGlczM\nzGBubg6ZTAY6nQ5OpxODg4Po6OhgMRKdTsfOSSoJS5mZGOBt57i32leq2YoEKbEHms5Vei05aNoP\nALy29fV1lk9dWlpiXfV0Os1CVR6PB0ajsWYS1073U7p2Yo5rtVoolUqUSiV2ztR3TvViCuIIoqbx\nrBqNhkszqVQKNpuNyWzi9347E/u8K5UKM/uJWzE/P8/3ntVqhVqt5nMol8shlUohl8vxtRB6kUgk\ncP36dfj9flitVsTjcdaj1+l0NcN2xH26kz3WDryurq4mkgyFQrdtRSJRhYaGBu6xJJEM0YHTF6fR\naNDZ2Ymf/OQnGB0dRWtrK9cvdtsKhQKCwSBOnjyJb775hsljLpcLzzzzDH7xi1+gt7cXWq0W1WqV\nW65E5icA1iyWsuvvx/lms1lEo1G0trbeNWRPtd58Po/FxUVcunQJb7/9Ni5fvoxQKAS9Xo/BwUE8\n++yzPIhgN0ypVMJkMsHpdGJlZQXpdBrV6o0WGtpbgk6lg0QUCgV0Oh3q6+uRTCaxvLyMUCiE9vb2\ne3bgVIM/efIkPvjgA5w7dw6bm5swGAzweDxMXnG73ZxNkQMnzoXT6eRhGcQivnDhAux2O15++WW8\n8sor6Ovrg91uh06nq4FXn0QT2b2iYlZDQwNnyQSlitkVweE0p5ramYhMJJfLYTQa0dLSgv7+frS1\ntbGKl9gPTmvYbo1Sk8K9pEkwNzeHubk5BAIB1NXVweVyYc+ePRgeHobH42FOBtX9iZlMPdnkwMWs\nm9CZndTAxbotBRZUKstkMlCr1TU1ZoLsiQNEQYOITmxubiKbzSIYDGJhYQFTU1NYWFhANBqF0WiE\n0+lkohjNwBbPq9vtp/RaRGSjvr6e5Wq1Wi0KhQIL1EQiEeRyOUYtiKC4vr4Om83GzzbtsyhjCtxs\nHduO3S8S+qjMMzs7i6mpKczPzyMWi0Gj0cDtdqOjowMmkwkNDQ1IJBJYXl7m7gcStNLpdKy4KE6e\nJAfudDrR0tLC97s4qGc7uP+xduCkcT0yMoLFxUX8/ve/RywW2/K16XQafr+fKfwNDQ0Ih8NYW1u7\n5bV1dXUYGhrCa6+9hqNHj8Lj8dxxYtT92vz8PD777DO88847mJ2d5WsbGxvDL3/5S3i9XsjlcoYD\nV1dXGTkQ2fWtra3o7OzkAGU3CG5XrlzBu+++C7fbzSSLnRpBoBcvXsSf//xnnDp1isVV9Ho9Xnrp\nJfzwhz/EsWPHdrWvmQRZOjs7MT8/j3g8jng8jo8//pjFYoaGhvDMM8+gs7OzBtEgVSyRjLSTFpg7\nGUXWH3zwAa5cuYJqtQqv14tjx47hhRde4Alp0WgUH374ITKZDP9fl8uFkZER/PjHP0Y8Hsf58+fx\nySefIBwO8yjId999FxcuXMDBgwfxxhtv4NixY1uiDE+KiWQpnU4Hi8UCq9WKTCbDULDIliYIk7oM\n5HI5stksk4eoFFGpVKDX6+FyudDb24uBgQHOerfKau6U3Ur/TeogifVOE7mmpqZYOIUOZGIcy+Vy\npNNpzgrFwSrk8HQ6HYxGI0+xI2dGwYu0Ji7dT6oJEwwbjUYRCoWwsLAAnU4Ht9sNs9nM89BJhU0U\nHqG9L5fLvL9LS0uYnZ3l4KRcLkOv16OnpwcDAwPo6uqqQS3v5MCley/W4elnNP3MYrHAYDAgkUgg\nnU5jamoKqVQKer0era2taGtrYwIYPcu5XI73t1gs3lLuuJOUqnQ/KQhKJpNYXFzExMQEFhcXuVuk\nr68Pe/bsQUtLCwAgHo8zM5/kXq1WKwYGBtDa2spZPMnPZrNZzM3NYW1tDX6/H6lUipn21C0lbYHd\nyh5rB05RKTGlZ2ZmMDk5iUQicctrs9ksQ0V0s28l8afRaLB37168+uqrOH78ODuuB3kYRiIRTE9P\nIxAIMLRCpClq+aD6SiaTQSKRYBKEWJ8lCUONRoOWlhY0NzdDrVbzn6k+uJ3RJDZShzp37hy8Xi/r\nOrtcLqhUqpq+W4I8Kbjw+/2IxWIIh8OYmppi8ohGo8GePXvQ39+P119/HQcPHoTVat3V/a2rq4PJ\nZMLx48e5DppMJnH9+nUkEgl0dHRgz549NXUvsomJCfzxj39EPB6HRqOBy+VikZd7NZ/Ph5MnT2Jm\nZgbFYhEejwevv/46nnvuOezZswdKpRJTU1M4c+YMzp07B7/fz9yHI0eO4K/+6q9w6NAhFItFtLW1\nobOzE1evXsXU1BQWFxcRj8fZAVDdb7eZ8w/TSIFNo9GgqakJbW1tyOfzCAaDDKWT6hoRhwgipyw6\nn88jl8vx801llNbWVvT09KC7uxsul4sZyOIEKbKdBm3SGrjYK51KpbC6uopwOMzPNtU0k8kk5ubm\nsLGxwUgXZYWlUolJeYQaEMRPKITVaoXT6eRs8HbPNjknhULB70Ma5aS0WCgUOJghRjk5NOIOpFKp\nmnuNMspQKIRUKsU1/ebmZgwMDKCzs7NGV52CgTuZNIiiNdAeU9ba3NzM52GhUMDKygqSySScTicP\nhaJngVCLtbU1zM7OIpFIoKGhAWazma9XPH92chbRfRcOh5mstrm5CY/Hg8HBQfT396OlpQV1dXU8\nXnZxcRHRaBSbm5uw2+3o7e3F8PAwWlpakM/nsba2hmAwiJWVFQSDQR7WEg6HmYeQyWTgcDhgsViY\ns3EnVPixduBkDocDBw4cwNzcHADg+vXr3GJCNwI1/gM361OiSD+Jxns8Hrz66qs4ceIEhoeHH8r6\nSdRBhHKUSiX8fj/+/Oc/szLa6uoqEonEjh6E9vZ2dHd3w2QyYXh4GIcPH2aG5nbW0dGBQ4cOIZVK\n8aCR999/H9PT0/B6vRgYGIDNZmO4slq9OWDg2rVr+Oabb3DlyhWsra0hlUohkUhALpfDbDajv78f\nIyMjGBsbw7PPPsuiBbttpDmfSqWY8R2LxVAqleD1emugVYLZ0uk0vvjiC/z+97/nWc779u2D0+m8\nLwc+PT2NkydPIhKJwGQyYWBgACdOnEBnZyeAGwjMJ598gvfffx/Xrl1DuVyG0WjE0NAQXn75ZZw4\ncYIhzra2Nhw4cAAXLlzAqVOn8OWXXzJsOTc3h5MnT0KhUPAErMdJ132nRjV/6osGwPVPKsmIRFWx\npYpmMVPGTYe/VquF3W5Hf38/+vr60NbWxvVmUrmiVql7vR+lDpz0HKhtdXNzk6HoZDLJn5nL5biO\nTGsgiLdYLEKlUrGaGPVbm0wmdHV1Qa1Ws2zpndqeyKFZLBa43W6srq7y3O5qtcrz0KmHmvQxRPZ6\nIBDAysoK147JoQM3njeaI97Z2YmOjg7mjYjs/Hu5F0SjYKatrY1LDQsLC0in08x6pzr4+vo617ap\nzXhqaopr01S6EPXld/o90wx30hqJxWKwWq3o6upixUq5XI7l5WVZQocWAAAgAElEQVTMzMzg6tWr\n8Pl8XLP3er0sX2s2m1nfw+l0wmq1wmw2Y3V1FZFIhM8wQphoH4jvcSd7Ip5+jUaD7u5u/Mu//Au8\nXi8++OADfPXVV6wkJjVqLyAog6D4trY2DA8P47XXXntgLU07MSLgZDIZXL9+vUYMYCfOGwBP+Wpo\naMDXX3+NCxcu4N///d935MCHh4dRqVQwMTGBbDaLXC6H8+fPY3x8nIlClIlTlpdOpzE9PY14PM6z\n00UYzuv1YmxsDN///vfR39/PiMCDMsrG9u/fz2zlS5cucdvG/Pw86uvrsX//fiiVSoTDYXzyySf4\n85//jIWFBahUKjz//PP4+c9/Drvdfl/ch2AwiImJCRSLRXR0dODw4cOwWCwIBAK4evUqTp48iUuX\nLsHn86FYLMJsNmPfvn3413/9Vxw4cKAGKaDM/PDhw+jp6cGxY8fwxz/+EX/6058wNzeHhYUFnD59\nGq+88grPQH/SjBwOwYRE3FIoFKxtTfeZdAKUKKKiUqmg1Wqh0WjgcDjQ3t6OoaEhrnkTA5ieL4Lk\nt2shojWSie1HxDgW1bKAm+pkANj5idA+MYrJgdL6NzY2WI2NVAUpC6e1AzsbvEJqkr29vchkMtzi\nNDs7i4WFBSZ/mkwmVknc2Njg/vW1tTVEo9GaAR00J6Grqws9PT1obm7mWetizX6nSmxSyFwc/EF1\nY0q0CIWpr6/H6uoqjxJNJpPw+XxMRi2Xy7h69SrL1TocDuzZswcDAwOwWq3cXkhBxnbfPXF7MpkM\nYrEYn9WEfgI3nvlIJMJdBysrK6hUKnA4HOju7ma5Zo1Gw10SNpuNCXoOh4ODcp/PxyUzUpfc6XTC\nJ8KBEyylUqlw9OhRGAwG7N27l1WOqKG+VCpBp9PxJgwMDLAj8ng8XJtqb2/fNcnQezGqn1EtimZ+\nm0wm9PX1ceQoNdIADwQCCIVCCIfDHGnbbLYda42bzWYMDw/jn/7pnzAxMYH5+XnMzs4iHA4jFoth\nc3MTq6ur8Pl8HL0Wi0WWnW1oaGASGQ0SGR4exsGDB9Hb23vfjO6dGB3Gbrcbhw4d4tah8+fPc7ni\n/PnzOHXqFNcgJycnEY/H0dLSgueeew4nTpzgSW/3gxKUy2XWOw4Gg/jLX/7CZBZiJ0ejUQDA4OAg\nDh48iGeffRYHDhxAU1PTlmMJDQYDNBoNjEYjw6kffPABZmZmMD8/j9/+9rfY3NzEsWPH7nsvH4XR\n4USQuMfjQUNDAwwGA9xuN5eQstlszSxv+n+kskekPoKb3W43M4JFEpBUGGUnRg5arJ+KaxfZyiLq\nJz6HKpWKuyWIrGiz2WrGRiqVSi6hhUIh7uGmzHu7WqhIdKKxoQBgt9sRDAaRSCSQyWT4Vzwe5/Yr\n4OYAEUI3KCjS6/Uwm81obW1Fe3s73G53jWiLVMJ6p/tJf5bWownpo95zi8WCrq4u1hgPhULI5/OY\nnZ3F8vIyI4SVSgVLS0soFouwWq3o7+/nJEK8F0QtdFqDdB9pPyj4oqmGxWKRhyQRShQKhRAMBlEo\nFKDX62EymeD1etHX14fu7m4mr9H7EipI9X1qdyW0icpK9EzshJP1RDhw4OaX7/V60drairGxMczP\nz8Pn8yEYDCIUCiGXy6GpqYmz00OHDmHv3r3o6elhLeBHATmqVCqYzWaYTKaaIfEGg4F/rtfr4fF4\n8PLLL992GlUul0MoFML4+Dimp6cxNTWFixcvYn19HU6nc8ctRjRo5Fe/+hXm5+dx+fJl/OUvf8HU\n1BS36xHsSBrdcrkcLpeLOwPogW5tbcXevXuZrAE8XF1xvV6Prq4u7jogpGBubo4PUiqhKJVKdHZ2\nYnR0FD/72c/Q09OzK61tdDhns1n4fD74fD7+N9Eht7a24tixY3j55ZcxMjKybdcD1fHGxsbQ0tLC\nugHXr1/Hxx9/jD179jxRDlxKYKIMi1CHxsZGmM1mtLS0cGkmHo9zQE6wqUwmY5Uxl8sFhUIBjUbD\njofKJqLG+HbOQzTpIU9/F50oPcOEGmg0Gn5uCMXSarV8WFNtmtqGSAebWMeRSAR+vx+BQADVapWz\nNL1ef4sIjdQoi93Y2GB+DMmoBoNBDvhpsAY91yQcQygIKZzRWolz43A4uF2KPkd03tLASPr8b7Wf\n4r0gtrwRiW5zcxNKpRJut7tmuEs4HOaJZIR6kBNsbm5Gf38/Dh48yMEGIYR3M41MLAk0NDRwqYrQ\njGAwyCWR+vp6OJ1OtLW1ob29HV6vF+3t7TCbzSgWi8hms5xs0DqVSiUMBgP0ej3y+TyLaslkMhgM\nBhgMBhZ42W6tT4wDF40gcb1ej76+vhr4WWyCp9YTUU71UVhXVxeOHz+O9fV1LC8vo1gsQqvV4sCB\nAxgdHUVLSwvXO/R6/W0DDa1Wy8pOo6OjDOHU19fD4/HclW46tY60trbCZrNhbGwMoVAIa2triEQi\niMfjSCQSSKVScDqdHFBQVuhwOLhXk4Q2HpXR6NXXX38d3d3d+Oijj3Dx4kUsLi4CAE8B6unpwdGj\nRzE2NoampqZdW7PH48HQ0BD394tGsCa1gpFQ0J2Uq6RG4g+//OUv4XQ68dlnnyGfzz8QnfyHYSL7\nn6Bluh/pYDOZTLDb7ZwVkhMjZ0VaD9RSRlk2wZ90YIvjSumz76a3mkzKq9nc3GSxGCLh0ahQvV4P\nh8MBj8cDj8fD9WZas1wur+kTpqzMZDKhqakJ5XKZ1Rl1Ot22SYe4l9Ri5XA4YDab0dbWhkQiwc8y\nEedERTsSyaFfNDKUzk5aI4AaPgHZ3ZSfRFRD5CTQdywOsSEp5I6ODob/FxYWEAwGGSmk4JmyXyIv\nkrCPeC/cTWJBqK/L5UJPTw+q1SoymQwTEkn62ul0oru7G729vWhpaWEpZBLiIUI1QfKkEEgICHVN\n0P5SIEWiMNuWeu6nfWaX7bFZyG5bNptlBR8itygUCobzjUbjXQt0EOxFDEatVnvf+u1UgyGmLA2A\nIB1nAKzpu9Mb7GEaEdUmJyexvLzMsDU9/A6HAx0dHcwe3a21T0xM4NKlS1heXq5p+wPATqmvr49r\ncvciFEROz+fzYW5uDsViEb29vejv75e+9PH5Qv6/zc7OVoFb27ekdVNytnT4iQc57Rn9jGqlMpmM\nORD0nVIwT9kl3adirfZuWgfFe0V0CHV1dTwxKxqNMrFWoVDwM0P90SQkRDX4fD7PyIFKpUI+n0cy\nmUQymaxRk6PrFIdpkNH6xWuidYmBC7U2iVrz4vCNxsZGrusT2Zf+Ll4/ZaZi+xs5XynCcTsTX0fQ\nNn2G2MpG7HzSBCDBn0gkwiWBarXKCIhWq4XNZmPdd5H/QO8v3cPbQei0p9QDTu3INHCHXieXy2G1\nWuFwOGCz2TigFHXjCQWi9RSLRZ61UV9fj1QqhWg0ypr51EZHCZ24Zq/Xe8vGPnXgT+2pfbvsiXHg\nohqY6EzkcnnNFCyCwelgL5fLzGInFIOcDwB+X8pG6efiBLHt+pVpnVLYXVwvtVlSfVwMCujn4jhU\nQnzoOlQqFXQ6XQ2JjaSiCZkQyXG3czhiBi46DWqzot5vcS20fqlGOH2m+H5SpysVF7kXbgG9l7QX\nnQIcag8UgzDaO5pOB9wM+ui1VJoRX0Nr2yoIutN3L34e1alFVIf67unzC4UCw//ivUzSwIR+qNVq\nbm8jNcJ8Pl8zUEYMoGi9WznwJxJC/3/tXVlzm9d5fkACBLHvGwEu4CqSEmXJkhUptmzFji3Hjp2l\nnjYzuUouOtOr/pR2pjO96yTTSV078dSx6jiWVHmRRUcrLYmLuIMEARD7vpNELzTv0cEngAQpkhbt\n75nhiCJB4OB8H867Pe/zihAh4uCCrykLQREOGSU+/UnRKF/P5I2mkA1NBoLAR6qNQkhc49fNR6X8\n6/K1WXJA6PH8+yqVSsjn81XpeYqe+VRzI/vJi5TQmogBz+s58I4B/zO+DYwXOeKNei0i304g5ELQ\n89K156NxIvzy4j680RZmBngIyaHbAb0WZUHouvDEPyrdUicUL2FL15O/n/k18ZK3NN6WZ8k3Wl4T\nDbgIESL2BXzkxUdEfGREByDfMsYfZnw6lydR8b/nfydsVXrSjCNvWIXrqPfcFEXK5XLmfJAhpdQq\nHwXT++Bfr95ahK/DR9C0n7yx5tcp5APw9Wj6e/55hAS03QBvwIXrqxf1C983n1ERkg6Fr7UdkDPB\nv28yslSGoFINXWNhJoS/93hCJS+Vyq9VeC22gmjARYgQsa+oVYMUGm8yvELJW2HkzbOYedXAWgac\n/r+ddfKP59ddj4zFvyb9S/3UMpnssSgXABuZKUxN72Q/eaPFG3B6L8IsgPCxQgeKd6z4/au3NztB\nvdo+QRj513PQeKen3pq2u06e4U+vR9E3OWG0xyQcRfctPZ7nEvDZImF0vpM9FA24CBEivnUIjR59\nEWmsVrRdK3rb7Pl3e738OoRGjkhi/CQw/ve8oAz/3nc7SyA06DRnu9Zr1XJAar3fvUatdQlb+PjH\nCh2RJ3EmGgHtIzlG/Px2+j1dcyFDny9bCB3LneyxaMBFiBDxVKBWlLVZPVBYJ653AD6J8allDIQ1\n3M3S6HzGgNTghBFXPUP6JOvkIz3h7+s5CvX+X2//9spQCp93q9epl9HZK/BlHHodISFTyJOotbf8\n/bPTNYsGXIQIEU8NhIasFgO7XtS4X1Firci0luEWRoOUcq11mO+Fwam3J9+WYd7O69Tbp62eZz+i\nb+HrVCqP2uEI9Qx4PUdrpxANuAgRIkQ8IRolmj1NeJrXdlCxn6UGQDTgIkSIeIpQ6wBsJKVaL3W9\nF2gkpbvZQf5tGM793J8nxVZGcLfIc3uBRiLs3VyzaMBFiBDxraJemrdebbvWIbnd9pvdhpABXUss\nhm8posfWSrXvJjYjognTwcKUe720726tdTNDXet68nXnvSo7bIWdOGZCh2M31y4acBEiRDxVqFWj\nFR54tVrNqGZOxLftyKXuFMLWKyKpkYocT26qp9NOal1bkfGeBGSchX3d/JrrseH5x+210ax17Wu1\nF/KtY7Qunri333yIWoRKfs/p/tyMlLkTiAb8WwCRHnK5HLLZLIrFIkKhENPupvmz7e3tOHToENxu\nd5WakggR30UID28+8uK/5w9zoFpdjOQ4JRJJlQGtReh6UmPEH8jC0ZzZbBaZTKZqeAhJba6vr7OJ\nVDQfnB8Ywu/Bk4A3aLyMLN8bTo8TGpxasrC8IX9S0qAw0q/XgSAcAyvsYa8Vodd6DR67nUHg74Fa\nGZha967QWWvEaa0F0YDvM0jzeGVlhQ2Fz2QybM4zACwuLiIcDuOZZ57B22+/Da1WC7PZLBpwEd9J\nCFOj9LNaER9/CAqjMHJy+SiHN+R7EZXxayyXy8hms4hGo2yiXzqdZo56Op1GPp9HpVKBXq9HR0cH\nKpUKWltb2dCO3VyjMCrl94AXvaF/hW17QkEc4d6Tsd8OtkqbCw04vQ9aD2UwNjY2WC99PWdiN/az\n3t8L96Xe/SpUBuQFh4TvcavugFoQDfg+Y21tDV6vF//yL/+Cb775BqFQiBl1mmRFc4UTiQSUSiUM\nBgNefPHFXZldLULE04haspf0tba2xlLSJERCP9/Y2GBR98bGBhKJBBNP0Wg0LD1Ns+G3a3A2A29Y\nisUiYrEYfD4fpqensbi4iGAwWPW6uVyOTU5zOBxQKBSw2+1VAztqaXrvZF18lMenzYFHA0AoE8gP\nBuEHh1Qqj3TIhdEmgCdep3DNwtYsimrJUJMCGkXmpGxH74F+Tlrye9laKEzlC/e8UqkwCVteFpjW\nRQ4VvQ96DDlZja77e2fAE4kEPv/8cywtLUEmk+Gdd96BxWLZ19efnZ3FrVu3MDk5iVwux34nkTwa\n2KDRaGA0GqHRaPa9NQF4OAI1GAxicnKyajSn2WyGzWaDWq1Ge3s72tvboVKptjUTeDdQLBbh9/uR\nSqWQTqcRiURYRkMikcBsNqOjowO9vb2w2+2i8/OUQhiB0OFGBzcd3vxkqebm5qohEnK5HGtra4jH\n47h//z7S6TRaW1vR398Pm80GjUYDoHqARKNp1HopWWHERAY6EolgaWkJHo8H4XAYAJiMKgA2blIu\nlz+WxhbWzIVGrZE1k8EQGg8a0UqjRdPpNILBIBtlKZFIoFAooFarodfrYTQaYTAYoFKp2Gxt3mDz\n5YNGnaJ65xi/D+VyGYVCAel0GplMho00pu/L5TLUajVMJhOcTie0Wi0bNiJ8HdrLnZAF65H56j0X\nP+xFqLDGr4OfWV8oFNjoVl6GtZZGer11HzgDTiLyAKrmBDf6tz6fD3/4wx8wOjoKnU6HU6dOQafT\n7WhG804QiUQwPz/P5stKJBJ2ERUKBZxOJ/R6PQwGAzo7OzE8PAyHw7HteeE7QblcRrFYRCaTwfLy\nMu7fv49PP/0Ut2/fZun97u5u9Pf3w2w24+TJkzhz5gwOHToEpVK55yl+OshTqRT8fj/Gxsbg9/sR\nCoUwPz+PiYkJts6enh4cP34cZ8+exalTpzA0NITW1tbvRBmCDolMJoNisQiDwbAv98degoY70FdL\nSwurC/MjLynCIqlS+vzk83kEAgFcv34dkUgEWq0Wra2tUKlUUCqVVeljIdmoHurVJ/nUJz8Lu1Qq\nIZ1OIxaLIZlMIp/Ps7nOarWajQ5VqVTQaDSw2WxQqVTsvVGWgRyZrQ7vejV9PtXN72+xWEQ2m0Uw\nGMTy8jIePHjAnPPm5maoVCrodDpYrVa43W709PSgq6sLarUaMpmMjdasVCqPSYcKSW+bQZgaJ4dq\nbW0N2WwW4XAYPp8PwWAQ4XAY0WgUsVgMqVQKa2trMJlM6OjowOHDh+F2u+FwOB77bPO1cqFWfq29\nq7evtch8ZKjpfdOksqampionh16PDDLvkFLWhi//UIYhn88DeJQp2Uwu+MAZ8HA4DL/fDwBoa2uD\n0+nc1t9OTExgcnIS4XAYcrkcc3NzsNvt23qeJ0EymYTf72dOSEtLC1wuFywWC9xuN372s5+hu7sb\ner0eLS0tUCgUUCgUaG1t3fO1UXbgiy++wI0bNzAxMYFYLIZsNstuVr/fj1gsBqlUivHxcUxOTuKf\n//mf0d3dvedO0NraGmKxGD755BNcuHABi4uLSCQSjChENz4A+Hw+JJNJ3L9/Hz6fD01NTczROOjY\n2NhAPp/H6Ogo5ubm8Pd///ewWq3f9rJ2BDpkC4UCUqkUUqkUCoUCNBoNzGYzGyvJgw5RMiLlchnR\naBTLy8tYXl5GIpFgs6/poOXr5eTsCNOgtVCvzsv/jA7YUqmETCbDDI1KpYLdbofNZoPD4YDL5UJb\nWxuMRiNLndJnnOcBbDfqrkVWKxaLbNIZRbDxeBx+vx+Li4tYXFyE3+9nKX2VSoX19XVmQCORCCKR\nCAqFArq7uxkHh5x8fp31tOprgU810xftXSwWw8LCAmZnZ9lnu1AooFQqsRIjReiUeUskEiiVSnC7\n3VXOEH9tahHHGslqCuvxtHYytsJImxwwoHq2OTmlvGNGWRg62yuVCjKZDMLhMPL5PGQyGZRKJVQq\n1aYE5gNjwLPZLCYmJjA6Ooq7d+8CAF566SW88sorsFgsDRmPmzdv4t1334XP52Nzco1GI1Qq1V4v\nn2FlZQX37t1jxkan0+H8+fMYGhpCZ2cnjh49CrPZvKcGmwxAIBDAxMQEZmdnATw04H6/H1NTU1ha\nWkI4HH5sUECxWGR1vUKhgPX1dbhcLrz++ut49tln92zNpVIJwWAQf/nLX/Dpp5/ib3/7G1KpFIrF\nIiqVCqRSKeRyOdRqNWMCk9f+2WefQSqV4u/+7u/gdrtZSvUgIpPJYGVlBZ9//jkmJibQ1NTEuBNP\nO2odmhRxRKNReL1e+P1+5PN5OJ1OSCQS6PX6xxjlPJsaAFKpFJaXlzE7O4twOIxKpcIMY0tLSxXp\niqJ5ntHcCHiDw7PaKWIuFotIpVKIRCJIJBJoamqC2WzG0NAQurq64HA4YDabYTAYoFarH2t/E0bd\nwOOGkY/8hftKGQwydul0GslkEqlUihHoEokEQqEQotEokskkADDyHF0Lupdob8jIaLVaVjcvl8ts\n/4UOzmYGnPaPT5mvra0hnU4jHA5jbm4OU1NTmJubQyKRYNeLrqdSqYREImEOyezsLDOMSqUSVqsV\nCoVi19Lmwu4FuvZkqHmjzP8cqJ48xjuN5FRubGygtbWVZQ4ymQx8Ph+WlpZQLBah0+lgsVhYffw7\nYcBv3ryJDz/8EF988QUAMM9Lq9U2ZMDHxsbw4Ycfsv/LZDKWst5r0EXz+XyYnJxEPp9nB9Trr7+O\nU6dOwWw27/k6gId76fP5MDo6igsXLuDq1asAHu4nEegaQS6Xw/z8PN5//30YjUYMDg7uepqa9i0U\nCuH27dv47//+b9y/fx/JZJKlI+VyeRVnoFwuw+v1wuv1olAo4N69eyiVShgZGYHJZHqqDHi9NKgQ\nlHJbXFzEV199hf/4j/+AVCrF6dOnGz6gnjbQgI9MJoNAIIAHDx5gdnaWRVsWi4U52nyUSeQ1IlvF\n43H4fD4sLCwgmUxCq9VCqVRCqVSy+igZS2H0x0eBtcBHX/Var8hhTCQSiEQiSKVS0Gg0sFqtOHTo\nEPr6+mCz2dhBzo/qpOfiHQzeoPNGQEjy4veRaqrJZBLRaBQrKyvw+XwIhUIoFAooFArI5XJIp9Ms\nBa7Vatk1IIeCvlKpFHuc1WqF0+mEwWBgr8evYbvRN71Hqsevrq5idnYWY2NjmJubQzgchkKhYCWH\npqYmaLVa6HQ6yGQyBINBeL1e5qzJZDK0t7dDqVSyVD/xDngjvB1DLvyi9807kURC41vr6H3ynQ8S\niYRd93w+z659a2srI1iGQiF4PB7Mzc1hfX2dkRx1Ot2m2YIDY8Brgby2oaGhp+pQrgWqWVJbCV1Y\nuVwOp9MJnU63b2uZn5/H5cuX8d5772FhYQHpdJqtcbuEuWKxiPn5eYyPj2N6ehoDAwO7mqamfbt0\n6RL+67/+C+Pj40ilUlCr1Thz5gw6Ozths9ngcrnQ3d0Nh8OBXC6HCxcu4IMPPsDc3ByLjihiP4gg\n4/2nP/0JH3zwAXw+H86fP4+XX375qb/3heBroBsbGyiVSiy9u7S0hPX1dTidTpYypWiaQPcpjXQE\nHjqTlH6njJrwEBbWRQmbGW8Cn4bln5MiRGohS6VSKJVK7IDW6XQwGo3QarWMkEUOMtXz+R5y/rV5\nMttmTjE5EcVikZXopqamsLi4iEgkwpjlZDRp/GU+n0cul0OxWIRGo2FryWazKBQKqFQqCAQCWFlZ\nQVdXF5RKJSPh1ap5bxV9C8VuisUi4wSNj49jdnYWpVIJTqcTfX19LDuqUChgtVphNBpRKpXw4MED\nxjmg1DO159HaeIdH6LwJ78N66xXW+IHq0olMJmNkRPo/1bnL5TLS6TSy2Syam5uh0+kgl8tRKBTY\n/UTcjWg0ioWFBXg8Hvj9fshkMmg0GqYZ8J014FTf2a7R+TZQLpcRCAQQCoWQzWaxvr7Obmi5XL6v\nJKSVlRXcunULCwsLSCQS7Of8PvI3t0qlgsViwaFDh6BWq5HNZnH9+nUkEglWv/R4PJiYmEBHR8eu\nGvBUKoXLly/j0qVLuHv3LpLJJDo6OnDixAm88cYbcLlczDs3m81QqVSIxWJoampCPB6vYnYK61bf\nJnK5HGZmZjAxMYGlpSUolUqcOXMGzz333GOPjUQimJ6exp///GfcunULTU1N+MUvfoFXXnkFIyMj\nVcbtaQYf8VKKkQ494BGRjb6ndHBrayuLwoWRDW8EiQzEk794RnYtclKts6NWVqRW/ZQnX6XTaaTT\naRQKhSqxFL43nf6Oj9p4ZrLwtRtNAfNZhHK5jFwuh0QigUQigXQ6DYPB8FikSHutUqnQ1tbGOCyk\nURGJRJDJZBCLxeD3++H1emEwGBhhks/S8c5FI1EuOW3pdBqrq6vwer3w+XxYW1uDw+FAf38/Dh8+\nDIPBwGrE1BIYCATYngOP7hO+lEYtZXxmYzvgCYq1wGceqOzAOwjlchk+nw8rKyuIxWJQKpVwu91o\nb29nQRsZ+UAgAI/Hg5WVFaTTaUil0qrsETle9XCgDfhBSh0Wi0V4PB6srq6y+rdMJmMElv1EMplE\nIBBgjNJa4H9utVpx4sQJ/OQnP4HdbkckEkE2m8X4+Dii0SgAsHr6Sy+9tK101WbY2NhAPB7Hp59+\nihs3biAWi0Eul+PIkSN46623cP78eRiNxqrHZzIZeL1eLC4uwufzAQAjntAh9m2jXC4jHA7j8uXL\n+Pzzz/HgwQMolUooFIoqA76+vo5cLoepqSlcunQJH3zwAZRKJU6fPo3f/va3OHTo0L5mbnYDZLDI\neV1bW2NCJhQZkkGitHC5XEZzczMzOsL0MxHC6Is/eIUGnBfR2M7hLozk6XUpkiRjWSqV2P3G9yMT\nkYlnLNdSFBMa8EbaM4XRLU+ookwAEaVoH8gJMpvNGBgYwLFjxyCXy5FMJqHRaDA9PY1CoYB8Ps+I\nw52dnVCr1ZDL5VWvzV+LrfaQ3nM+n2fZAp/Ph2g0ipaWFrS3t+PIkSMYHBxk3UEU3GQyGSQSCYTD\nYcTjcZRKJXa/8Gly/hrza9zKGRJG58ISCx+F03vJ5XLMmZDL5SyrcP/+fSwsLCAajcJoNEIikUCr\n1cJoNLL9C4fD8Hg8ePDgAetIslgsLBgh9v9mZ9aBNuAHIfImFItFzM7OIhgMsp9ZrVb09fXtC8Oc\nh9lsRnd3NyYmJqp+Xq+WNTw8jJ/97GcYGRmB2WxGqVSCXC7Hf/7nf+Kjjz4CAKyurmJ6ehqpVAo2\nm21XMgqU+qaDUS6Xo6enB4ODg3C73Y/xHorFInw+Hz744AN888037OdyuRxarRYajWbf2gU3QywW\nw/379/HnP/8ZTqcTv/3tb7GwsPAYkzyXy2FsbAzvv/8+Ln5/wlYAACAASURBVF26BLPZjNdeew1v\nvvkm+vv795V8uZsgw0TSp3K5HHK5vMrQ8GQxAhkgPmLn+6aFBzb9TS1yErB1yYiPtHjjwxOVKFVK\nqmvlcrmKQUzvh8ifFFWR4ed7foXGe7P2IR7kFFDrnUKheMwh4g067WFraytMJhMcDgcMBgNzpIjp\nTeldyjDk83n2HLxyWyNZAt4BWltbQyaTQTQahd/vx+rqKpLJJOx2O8tG8ntN5YlAIICpqSksLCww\ngq1KpYLJZIJarUZzc/NjDh6930adDOH+1yIu8g4C1dtp34l7Q/wbvV4Ps9kMvV7PWhpJcGh6ehqT\nk5Pwer0wm81oa2tjrYU6nY7V/L+zBvwggdIlqVSK/Uyv16OtrW3fe3htNhsGBgZw5coVxOPxLW9q\nj8eDS5cuYXZ2Fi6XCyaTiaWCCKlUCl6vFysrK7DZbDCZTE+8zmQyieXlZXi9XqRSKayvryMej2Nm\nZgZ3795FV1cXFAoFO9CTySTm5+dx/fp1LC8vs+cZHBzEa6+9hv7+/m81YiXC0DfffIOLFy9ibW0N\ng4ODOH/+PPx+P3p6ethjKaNx4cIFjI+Pw2Qy4ec//zmef/55HDp06FsRz3kS8FmZWgQh4BEZCwBL\nh9OBTocp31tLUSQd8lQzp5/T8/GPrWfYa4Eir1pRJhlNEpTh69stLS3QarUwmUxMaKSWQeD3hv+q\nZQwbqS/TfpEgi0qlQj6fZ61iAFhWgP6fy+VYWlqr1TJSFe/cEDmOdAd49TaedFcPvINCnwHiLCQS\nCWSzWZYNLBaLTMSFJyDmcjnE43EEg0EWfWu1WlYvb2trg1qtrlniEO5fI0ac1sqXHOia8bVuiUTC\nuh1isRg8Hg8WFhYgkUjgdrtht9uh0WjQ3t4OjUaDYrGIcDiMpaUlzMzMIBqNQiaTweFwoLu7G21t\nbYzsyIv91Lv+B9qAH5QUOnlq8XicKa9JJA/Vwrq6uvY9KrTb7RgeHobb7UY2m0U8Hn/sMfzeEkHN\nbDajs7MTbrcbXV1dTPUMAPPWA4EA0un0rhjwdDoNv98Pv9+PdDoNiUSCWCyGmZkZWK1WvPjii6y+\nR49fWVnBwsIC4vE4I4ocO3YMb731Fnp7e7+1qJWG13i9Xly7dg03btzAoUOHcOLECRw9ehRDQ0Ms\nTVwoFDA+Po6//vWvuHLlCkwmE370ox/hnXfegcvlYuzrgwY+kqUolmc+kxGmyJNS47UcFV7Uhf4v\n1DznjThPBhOmRDeDMJUqjGIpuuUNuFwuZ5GXWq1GS0tLVY2bb4OjNjfaD+G66pGuhAaJN+AqlQoG\ngwF6vR75fJ4xn+n3dB5Rd0c2m8Xy8jJrcyNHmdLDlO4mchu/n0KnaKvrT5E1RflEKqVsAfWi82Q/\nAKzHPpFIsHQziV319/ejra2t6rNdy+g1sj7+e76Ozr9nXiWwtbUVLS0tWFtbw8LCAh48eACfz4fe\n3l4cOXIEPT09WFtbY46c1+vF3NwcZmdnsbq6CuDhedzT04Oenh6W4eQdzu9sDfygpNCJtJHP55mW\nr1wux+DgIJ5//nmo1ep9XY/JZMLx48fxm9/8Bn/84x9ZNLgZqG6bSqUwMzODlpYWZLPZfVrxQ1AK\n/ZlnnsHw8DAjsNQrQcjlcnR3d2NoaKhmyn0/kclkMDk5iX//93+Hx+OBw+HAr3/9axw9ehQSiYSl\nOnO5HCYmJvC///u/+Otf/4qOjg789Kc/xZtvvsl0sw8yhClsPkKm70kog0hsuVyO1Zv5aFOn00Gh\nUGB9fZ1JfpKABkUxPPeBN7z0+pudIbXSsPzPiMREBi6TybC16HQ6aLValmanz3+pVKpKu1I6nY9q\naZ+2u69kUCizVy6X0dTUhNXVVUauo7UUi0XIZDKk02lsbGxAJpPBZDLBYDCwrgDSlZdIJMhkMlXq\nd9s1jvye0n6SZLTVaoVWq2W98pQ9oFIArTeRSCCZTKJcLkOhUKCtrQ0dHR1oa2tjPeLEM6jlVGyH\n7wBUC+PwUr40XY7uUVK3Gx0dxerqKpRKJQYHB3Ho0CGYzWaEw2EWwPHGW6VSweFwoKurCz09PbBa\nrVAqlUyYqpF23gNtwJPJJGZnZ3Ht2rXHerlVKhWGhoaeijqhz+fD2NgYZmdnEY/H2aAF4CHDOJ/P\nIxaLIRQKsTqZVquF1WqF3W6H2WyuShU/KWQyGcxmM374wx9ifX0der0eU1NTrBZFH3YedFhRPWo/\nYDQaMTw8jJdffhmZTAYWi4UJ3jidTlitVrS0tCCXy2Fubg6jo6O4cuUK0uk0dDodent78c477+CF\nF16ATqfbd+N39+5dTE5OQqVSIRQKYWJiAmNjYxgcHMQbb7yB4eFhGAwGRoaJx+OYn5/H//zP/+D+\n/fuw2Wz46U9/ihdffBHt7e1bMlIPAvjDUVjn5gc75HI5dhiq1Wr23sl40+d6Y2MDyWSySpaSolhS\nOhOm4IVqXUIID39hnZeckFKpxMRbotEoM4q03kwmA4/Hw6LKbDbLJJO1Wi30ej1r3+IHjNQit20F\nigyVSiVMJhMbWarRaKBUKpm0KzGmKWVeKBSQyWRQKpWYcaS6vEqlQqFQYE4Q1cj5GjWfPq/HoeHX\nSOsk7QaHwwGVSgWJRAK73Q6TyQSz2czS+ZlMBqurq5iZmcHc3Byy2Sy0Wi3riuno6GC90lQ+4bMy\nta5zrbS6EDxZkTqF6PEkEhUOh5FIJJDJZJBMJpFIJGAwGOB2u9HZ2clIgYlEgrX4TU5OIhAIYGNj\no0quVq/Xs32tdw/WwoE24KFQCGNjY0ilUo+10hiNRhSLxSqWMg0X2G9Q29b8/DySySQ7WPx+P778\n8ksAYBKCmUwGarUadrsd/f39GBgYQH9/P7vIra2tDX+oNwNFsyqVCm63G5999hmmpqawsrKCeDzO\nPsQbGxtstjH1htYCEZKEc42fBCaTCSMjI/jlL38JqVSKtrY29PT0PHatg8Egrly5gr/85S+4ceMG\nstksurq6cPToUfz85z9HV1fXvqWdebLQjRs38O6778JoNDIm78bGBvr7+/Hcc8+hVCphdXWVqcx5\nPB7cuXMH7733HmsrO3bsGCwWC/L5/IGre9eD8MDnpVEpos5kMlhaWmKDSYi5TZGbwWBAPB6HVquF\n3+9HJBKpcg74aLGeeMtWqJeyptegQ5nUzYrFIjPEVC7xeDxMCY2MIRlZq9UKi8XCBoeo1eon+mw3\nNTVBoVCwfdTr9Uy4iFQJY7EYc3YMBgMSiQSCwSCy2SxzJDc2NqDRaFhmi0h5VOvlJ5ltJ1PAO2AK\nhQJGoxGdnZ1YX19nvd4UdWu1WiadPDk5ibt372J2dhblchkOhwN9fX3o7e2Fw+GAUqlkmQ0qFQhV\n1IBHpYbt7C9lbCizUy6XkUwm2dS5QCDA+v6lUimLqJubmxEMBpkufjqdRigUwuTkJAqFAitXUH87\ncQ9qkTc3w4E24JTSnZycfOyiSKVS/OlPf6o68EKh0H4vEQBYmoW8q7W1NYRCIXz22We4fv06gIcM\naop8m5ubMTU1hdHRUSgUCrhcLrzzzjv44Q9/iEOHDjEjvhugdHpfXx9isRhj01I9MZlM4vr167h2\n7Rrm5+eZEIEQarUabW1tcLvdTLFpN6BSqXDmzBlIJBLGWBYikUjgww8/xDfffMP2WafTwWQysTYO\n3pHbS6RSKSSTSTQ3N8Pr9WJqaqpK7nFgYACpVAofffQRc5Soj54GONA1uH79OhQKBQ4fPozh4WGc\nOnUKWq12X97HXoNPxfKHJPUYUyZoZWWlZpRORC25XI5cLseicGIiU1SUyWRYjVI4P3o7aV8efAtc\nPp9nURgJNEWjURQKBczNzTExD4p8yXmnMcE2mw39/f3o7e1lk/1oP7ZrHMmIUAqfnypGo0wpe0YZ\njbm5OTQ1NTHdc1IXo6i7UnkojkIZD16BjP6/HYNDa6SUN9WQNRoNdDodS1nL5XLE43GmgTA9PY3V\n1VVYLBb2/qhXmkpjwlGz5EgLmeTb2VPiDdCZu76+zrg2MzMzCAQCkMvlMBgMMBqNLBvo8XjYHPhK\npYJEIoHV1VU2BZMyNCTuxfMY6P00stYDbcAppZvJZGr+PhAIbPr3uVwON2/ehFKpRFdX1x6s8CEM\nBgM6OjqqhiiUy2UmtrAVIpEIJBIJUqkUyuUyDh8+vGulAeqd1Wq1MJvNrO+WUoQk/UqeOa1fCIoi\nr1y5AplMxmq7T+poSKXSLaVuqf+byDrAw6j85s2bKBaLePHFF3Hy5EkoFAoolco9bdsjT3pqagrT\n09OIx+NsBCIdlLdu3cKdO3dY/ZEiDXoPwCPiY2dnJ3p7e+F0Og/0xLFaLGD+cKX3S0NpKB0qkUjY\n55zv56fnof2j1C4xl4vFIuLxOJLJJIvq6RBvVNBHSIYj8L3cSqUSGo0GGo2GtVrR2EuJRMIGf1DW\niPaBDm+K3InU5nA4WP8vsD11REpP8/cJ8St4w0biS6STQEED1espA0Ka41KpFNlsFl6vl2WBdDpd\nw8pmwsfwmQJSd6MsC9WW+b/jI/1iscjO9Y2NDaRSKRaFU9sen9anroVGrrdw/bSftC806IWc7XA4\nzFoH6TGUYZVIJKwVj3gS+XyelQ+IsErETXKKKMPR6Ll5oA048PDA1Gq17IMvnA3Lzw0WIpvN4saN\nG+js7NxTA26323H48GF0dnZW1WV4T1coqcj3YubzeVy9epXpQjscDtZPupugflzg4d7kcjlEo1Gs\nrq4iFApVpSWFyOVy8Hg8+OMf/wilUsm0k/fD6FA5IJlMMgUpGjM6Pj7OJhbp9Xp0dXWhvb39sfvk\nSUERXT6fh9/vZwItNPiFsgepVArRaJQdmjS9itKIFouFORgdHR04d+4cRkZGvjORN1CbHEZpb+qX\nps8EL4ZC6fPm5mYUi0XG/F5fX4dWq2XOKDkDlLo0GAxVDHh+CAW/nnog5jh9Dzwy4kQY6+joQKVS\nYd0PvLAM9f9SVMj3jsdiMQBgM6EpC0HsdKBaYrWRfaX1ktNCmQpiw+dyOQSDQUSjUZbF5AlbVB6g\ntq5cLodYLIbZ2VnmJAmnqDW6Pt4o8pkRcnZ4Jj/V9I1GI6xWKyONBQIBrK6usqi2s7MTdrsdLpcL\nVquV3TN0/wiJaNtZKzk9pNfv8XgwPT0Nv9/P2PAA2DUtFovs2pG0LnEfqDRKXQoqleoxIRq+lbAR\nI37gDbhWq8Wrr77K9HR7e3uraqQ+n4+NH/22YDAYMDIygt/85jesrgc8rNNbLBao1WrW7A88Ukqb\nnZ3FnTt3cP/+fYTDYYyPj0MikeDYsWNQKpV7OvxkfHwcFy9exJdffokHDx6w+vdmXnaxWMT09DT+\n7//+D3q9Hm+88cautJNtBbPZjH/8x3/E119/jdHRUYyOjrKRjvF4HB9//DFGR0ehVqvx9ttv45e/\n/CW6u7t3VYK0UqmgUCjg888/x3vvvYexsbEqzgX1B58+fRo2m42pLX3xxRe4ePEiEokEent7cfr0\naRw+fJgJgnR3dz8VRMzdBhlvMjR0uJKWNX02FAoFc2YpmqR2I2KpE0Oa5lVTipteh49ottKWFkJ4\nsPIRMaWryTFvb29HOp1mRo6EaaieTNEY1c6XlpaYXjmlVrVaLVQqFetMaTQS440NsbZ5JTbKUiUS\nCWaI7t69y8avUumiubmZjXFdX19no1mp95qMj16vZ07WdrJsQiIhP/aVon9eZpeGJGk0GgQCAfh8\nPvh8PjZZLZ1OY35+HlarlfGFTCYTdDodG8VJzgkvwLLVmvn7M5fLYXFxEdPT05idncXKygqy2Sxk\nMhl7Ha1WC4PBAIvFAo1Gg1QqhYWFBXZdHQ4H3G43nE4ni7R7e3ths9mgVqtZhpNvjRRmfmrhwBhw\nmUyGtrY2HD16lP2sq6sLQ0NDGB4eRigUgs/ng9VqrYr6SHovFArh1q1bbBQpACiVSpw8eXJPo29a\nu9lsxtmzZ1ltD3hY39VoNGwMJmmIU1vK0NAQY1p/+eWXbGzinTt3YLPZdt2AVyoPBwOMj4/jk08+\nwcWLF7GwsMAiRFpzW1sbnn/+eSiVSkQiEVy9ehXhcJgJNFD9/qWXXtoXA65UKjEyMgK9Xo+Ojg4Y\njUb4fD7Wc096y8DDQzccDmNwcBCnTp3C4cOHt1Q7agTxeByffPIJPv74Y9y+fRv5fB5DQ0MYHByE\n0+lkeu1utxtqtRr5fB537txBJBJBS0sLfvCDH+DcuXN46aWX4HQ6WZTI97l/VyAkk1FXhsvlAvAw\nuqUODBq9SVk0XhaVatA0ycnr9aJYLDL9bLVazT5XpVKJEZ14RnojxqdWtE7RdFNTE/R6PdxuN6xW\nK2tx4jNrRP6iGjNlBxQKBTOO8Xgcy8vLLJo0mUyQy+WPpdBrrVcYeZOTQFG9TCZjzGmPx4OlpSUs\nLS1hZWWFfbabm5uhUqmg1+sxMDDAHI7FxUUEg0E2pCUUCiEUCsHpdKK1tZUxyIX7tRVonXRd+bY/\nikglEgkrbxoMBlZe0Ol0SKVSkMvlbGxqMplkXAiXywWXywWHw8EIYnS9N1ub8HcUlKRSqaqon6ZY\nGgwG5iwQYVAulyOfz2NqagpNTU1M0Ke/vx/9/f0sGwSAibwI54vTOr9TNfDW1lb09vYCAPr7+wEA\nJ0+erDn8QYh8Po+5uTn867/+a5UBV6lUeO655/bcgFMNjNa9FaiX0+VysZGdFJnkcjncu3cPIyMj\nVc7MbiCbzcLj8eDChQu4ePEivvnmmyrykFKpREdHB06ePIl/+qd/gslkwszMDMLhMDsgAMDv97PU\ntcPh2PM0ulQqZa0nFouFSaoWi0UolUpMTEzg1q1bCAQCuHXrFu7fv4+enh6kUikYjUa0tbXVJMdt\nB6lUCp988gkmJiagUCjQ09ODc+fOsYEjpBK1sbGB1dVVjI2N4YsvvsDy8jLa29vx5ptv4tVXX8Wx\nY8d2aVeebvAGvKWlBWazGZVKhY1RtFgssFqtjDsglEqlSLpQKMDr9bJ9pUEWRHJTq9VsRjRFeBTp\nbJWmFBpuvl5P15IMH6WnJRIJVCpVVdqdjDkd0Ovr61AqlUwetLm5mZVW4vE4stksKyPQOmgNm4HW\nRK9LZD+pVMrSzTMzM2zqFfV5Uw3aZrOhu7sbJ06cYCQycpJo0huNK00kEtBqtez5hfu12X5S1oUE\nS2q10dH1bWlpgc1mY6+VTqdZC25rayv8fj8jjdE42Wg0yrgkRMAT9vFvtY8Eev+ZTAZra2tQKpWw\n2+1wOp1ob2+HxWKBXq9n9xlNyKSWYLPZjCNHjrD2V1LvI70Aob7BdnFgDDjVOV0uF/PaGk0t0t8K\ntaafZhDbcXJyEtevX2fs0XK5jGAwyNLwu4m5uTl8+umnuHDhAjweT9WNrFKpcOrUKZw5cwanT5+G\n2+2GSqXCxsYGTp06VVXPIzLH4uIii6T2A+FwGJOTk7h37x40Gg2OHDmCZ599Fn6/H8PDw3j33Xfh\n8XhQLBaxsLCAS5cuobW1Fb/61a9gs9me6LVbWlrgdrsxMDCAgYEB9PT0wGazsYlKwCOy3UcffYTf\n/e53mJubw5kzZ/CLX/wCL7zwAhwOx25sw4EAH2UpFAo4nU5YLBYm5EKEQ2Lk8rwRAIxxTvfo4uIi\ntFototEoS9GSYRHqpe+EWFlruhilZSUSSVUbE0XnFKFTarq1tZWlZfP5PGOoE0+C3g+VAlpaWqr2\naSvwzjavElYoFBAOh1mrqtfrZeRZpVIJnU6HtrY29PX1sfnldB0sFgtrkyMWeywWQzweh8ViqWrN\n4p2HeqBrQHtFUTddK0qpA494AUT+JFVGuVyOtrY2tLe3Mx13cuBWV1dZmxzN0yZHhneitnPdW1pa\noNPp0NHRAYlEgra2NjgcDuZgSqVSRvi9ffs2bt++jUAgALvdjr6+PgwPD8NqtbJ7ge7FTCZTlT3h\n79nvXAROjM+djKqkv+3r68OJEycYq3q/WOjbBbUpXL16FZcvX8bCwgJLien1ehw9ehRtbW27/rpe\nrxe3b99mBA2C2+3GsWPH8PLLL2NkZATd3d1svJ/ZbMaPfvQjzM/PswEixGKdnp5mesB7CUr1Xbt2\nDVevXsWDBw9w/PhxqNVqWK1WmEwmVCoVXL9+HbFYDMFgEPl8HsFgEF6vty7JcTsgLgYpRNHUIfKq\ni8UiVldX8cknnzAHqb+/H2fPnsXzzz8Pl8u170Ntvi3whxbw8PPJZyjI8FEnBBlEnuhZKBQY81yt\nVrNRl6urq4y5Tm081J1ADO3tpM/5NZOR4sloZCyBR8IhZNjJ2FP6nmRySQ54dnYWS0tLKJfLTJHM\naDRCqVSyNCpP+GtkP4U97yQ2Ew6H2ThjSpurVCpYrVZ0dnayAUG8pjjwcPBONBplpDfSMCf9cuIY\nNGJw+D59ijrpelBpoVKpsH0jUmgymcTExAQmJiYQCoXQ1dUFjUbDHGSJRMLGcdII1Gg0imQyyerr\nvLO3nbVSi1tbWxssFgvkcjmbGEaRPZFmb9++zdZosVgwODiIkZERloWk8g1do1p99NvlaBwYA74b\n6OrqwsmTJ6t69HabhU6bn8vlkE6nGTmhqamJtUrQh56Y5JlMhh1c2WwWPp8Pd+/exbvvvoupqSnE\n43HI5XKYzWYcPnwY586dY+WE3QRNFBMKtgwMDOCtt97C2bNnYbPZqgwNlSEuXbrEfkZtKsLhLXsB\nMoyfffYZPv74Y+aQUV2VDm3qieWJa7ys5pNCo9Hg7Nmzj/2cUobU1va73/0Oy8vLsNvt+MlPfoKX\nXnoJ3d3du8qIf9rBH6AUkfHRMh3mFM2RrCQxk+n+ooOZjDhJq1JvPcmB6nS6qs9eo4c3gU+dF4tF\nJsySy+WYSpdCoaiqrRNTm3TSSWY1EonA6/VifHyciSbJZDLY7XY2zILGaDbapiVcJ31PZQMir8Xj\ncaTTaSblSvKlfX19GBkZYR0QGxsbLHp3uVxYXl6GQqFApVKpkoTlU798yWCrvaW/I/4DOUM0HpRU\nzzKZDMLhMObn53Hnzh3MzMywcgWlrUulEmvjoxYyqq3zU+N4YuNW6+QdJ5lMxlL2dIbzqW8S7Jmc\nnMStW7cQj8ehVCpx5MgRHDt2DL29vZDJZIxUyDsnfEZI+HkQXst6+F4Z8P3CxsYGxsfH8cUXX+D2\n7dtIp9NMH9dms0Gv10Or1aKnpwdGoxFff/01UqkUUqkU/va3v2FpaQnBYBChUAi5XI5pep87dw6v\nvfYaTp48uSfCJDSfVxiROp1OjIyMwGQyPaYnTtkNqtHTzSaVSmG32/e8/cnr9eLq1av4/e9/j0gk\nUlV7Pn78OJRKJe7cuYOLFy8yYQ2Cy+XCkSNHdpWNLgQxeS9fvoz3338fc3NzOHLkCN544w28+eab\naG9v/14ZbwJfD+XTmmTAeUELkpgkngLdn2TkpFIpWltboVQqGWGLos5YLMY0pomLQWnMRiIx/iBd\nW1tjU/eWl5exsrJS1f6n0WiYhjd9JqgVk2Q3g8Eg/H4/lpaWsLa2xljsVHrp7OyEwWBgRmy7KV9+\nf/m1k5EkpTLiCBCjXCaTsR52YtBTBomMDU+KE/biN5ry5Q0+vT8+a0HPnU6n2cQuGhAil8tx/Phx\nHDt2DC6XiykZejwedlZS6lyv18NgMECpVFa12zYa3VJARe+ZpF3JANM9FolE8ODBA0xNTSGbzaKt\nrQ0DAwM4efIk49bQUBi+ha5SqbD9pdQ63fv8Ordy2r7XBjybzeLmzZsNEeEaBdWuZ2ZmMDo6irGx\nMaYGNT8/D61Wy2QJSVWIFM7y+TwWFhaQSCQYY9VoNKKvrw9vvfUWTp06hcHBQZhMpj0hhpG04YMH\nD6p6JhcXF3Hx4kUYjUbY7XZYrVZWzysWi1heXsbk5CR7PEUgJpNpz1qgEokEvvrqK9y4cQM3b97E\n9PQ0I/6dPn0aarUa9+7dQyQSwejoKL766isma0mDMPr6+nD48OE9M+CZTAYrKyu4cuUKLl++jMXF\nRRw/fhyvvvoqXn31VXR2du6p8/C0Q9ibzdd7a4lq8IaCUuzUPkb3HKWs0+l01ahKivqAxlm+fATE\np9Bp8t7S0hISiQQqlQpLqZKYCPWr0xQtSjtTSr+lpQUWiwUulwuDg4Po7u5Ge3t7VemlUaMo3FOe\nzUxDUyjbR++B1CFjsRj8fj9zhCqVCuuOkUgkmJ+fRzAYRKFQQHNzM3NO+Jo1pdK3Ep3h97NeOn1j\n4+Gs7IWFBUxMTGBqagqhUAgtLS1wOp3o6OhAc3MzlpeXWQlsaWkJy8vLKBQK0Gg0sNvt6OjogN1u\nZ9GysB2wEfARPL/+QqHAZpl7PB4sLi4iFosxtjnVvKVSKTvH+TY/Aj9oh+cPbIen8b024FQD93g8\nu/acxIwldSVqGSLvW3jzEIuVT+UqFAqWEurp6cGZM2fwq1/9Ci6Xa08Z3S6XCyMjI2wYPa11fHwc\n4XAYMpkMPT096Ovrg1arhVQqRTqdxtjYGO7du8duOvqgm83mPTPgqVQKn376KS5fvowHDx4AeOiA\nUIRAPfTz8/OYmJhgM3qpntXd3Y1nnnkGPT09T8xAF4IOCZ/Ph2vXruEPf/gDAoEAbDYb3n77bZw7\ndw5DQ0O7+poHCbUOUDq0+MOS6oH0RapmBJ6cxtdiS6USq4GTsiA9ViiaUQt8TVnY8kaZAfoc5nI5\nxvAmMhYdymRA6bkoiqWWQpfLBbfbzfqBiXBFa2xUwIU/8HkGNxHEaCCMRqOBQqFgYjmxWAxSqZRJ\nO1N0SWnqtbU1BAIBrKysIJfLVT0XZUdoihpvlOuBd8z4DAw5ZC0tLWzqGH1uZ2ZmsL6+zpyb5uZm\nBAIB+P1+LC4uIhAIIB6Po1gsMuPd39+P7u5u2O12xieg6LZRRTZhipu+iN8TDAaxsLCA6elppr7W\n19eHoaEhdHV1QS6XM+eSn4bHO5N8P3ytdsFGjPj3HTL7ZQAACZlJREFU2oDvBZqbm2EymfDmm2/i\nxIkTWFlZwaVLl3Dp0iUsLi4+piWuVqtx+vTpqlSzTqdjN2J7ezucTifsdvueD+QwGo3o6uqCVqtl\nk4kAMG1u4GE0/tVXX1URd4gQSCCBA7fbvWd94FQ31Gq17AMXiUTw9ddfM0JLMBhk6k4Uof3gBz/A\n+fPncfToUfT19TEiym6CjM1XX32F3//+9/D5fHjmmWfw2muv4dVXX90TAuJBA09go3/5ditePpUO\nP57Ixh9ulOYk0hYpFgJg7UrUlkXP32gUxhOfqC/Z6XQyQunKygoCgQCi0Sibl02GVy6Xw+FwQK/X\nM9UyEnbhh5nQkCKKFGl9T5I+Jx4BcQRMJhM6OjqQTCYhlUqZdC9JOtPrk/NNtWnSky8UCkxVTq1W\nV62XSIeNRo18NoPPqFCLFX/9KcIn4ZtkMsnKI6lUqmowS1dXF3p7e9HX1wen08nEZmoZyEbWyO8n\nXYuNjYfDnSKRCAKBAGKxGJt8ePr0aTidTigUCsZrohG3lcojoRq6l3ieh7BNslF8rw24TCZjH6Dd\nAnmSVqsVBoMBLpcLWq0Wg4ODiEQiVfVlaqERqoLRuEFq9KeU1U7aX7YDl8uFF154gUm33r9/n9Vv\naN28fCAP+hDK5XK43W4cOXJkT6VUlUolnn32WYyPj+PevXtMlSsUCjHpVHKWTCYT2tvbMTw8jBdf\nfBGnT59mbNu9EkkhEYeOjg4m4kMiLd8XtvlmqBdt8NGxsGZIEEYtvDwqsYaJbETSqnx9Ufj6jayV\nDnAy3EqlEjabDT09PayFkrJuRK6Ty+UsJU7RFwnMUCmNl0QWRtw7SaHTnvH70tTUBJ1Oh/b2duTz\n+SoyH/U58wI3NMyINLzJ8SCnw2w2Q6PRsDY34Z7WO6eEv+cNOX1RhsLhcMDpdDLFNWLOR6NRppkv\nlUrZEJT29nZ0d3ezrhe+N59/7e3so9Cxp0CBOBe0TofDgcHBQSbRTBkOvmuC/p4fGSpcWyOkNSG+\nVwZcpVKx8Xrlchl6vR7Dw8N7EhGRMZPL5Th79mxNhvLTBrvdziQ+iXm5srLCWKfEpK0FYgK7XC48\n99xzeOGFF5gc5F5AqVTi2LFjuHv3LsbGxrC0tIRisQgAbNYwOWYDAwM4deoUXnnlFQwNDe15BEyp\n1oGBAbz++usolUp45plnMDg4uKeve1DBp3/5tCrtI/2OHss/njfkLS0tTA2LRnZSRwLPfuZfcyvw\nETj9HZW47HY7MyZEoCISFq1TLpczVnwul2M1aTIufBTGp2p3Cj4SJuNIRtHlcjFjTGp1JNDCp7Qp\n+qVoWK1Ww2QyMYUzElYhHgztz3b2tJYRp95zrVaLzs5OpmVPHT3JZJKRBmn8qtlshsPhQE9PD9rb\n22G1WiGXy5lzsp3UtPDnwpY8+hndW6VSCRaLhU1hpPnpFH1T0EV1b7of6J7lJ7kJ70uxBl4DQ0ND\nkEgkmJycxPr6Onp7ezE8PPy9rkcKQaI3//AP/4ATJ07gxo0bWFlZgdfrxbVr1+q2hVksFhw5cgRv\nv/02jh8/jp6enj1loEulUhiNRvz4xz9GpVLBv/3bv8Hv90OtVuPMmTOMzVupVDAyMoLjx48zNvJ+\noKmpiU0Rq1Qq+/a6Bw21Wmh4Y823lZHwB0WZ9DcSiYRN/CNyFnVB6PV61n72JOAzA0LHgYy6UOOb\nDDOJqvAiMJQe5g93oYb7dtcnrNfzX8SOp2xUf38/VlZWmKTq6uoqCoVC1SAWfuwpn/KnIKhWq1sj\n6+T/5d8r7QWlxCkCJ9lZiUTCeuUNBgN0Oh0sFgtsNhva2tqg1WqZw0SDl7YbefNrEjoldI0UCgUT\nkOH3loaZVCoVdj+Qg0eZWZ78V2tt273u3ysDrlar0dvbi1//+tcAwOQaD5JC216DPEyXy8Wi8UQi\ngVgshhdeeKHuPHC9Xs/azRwOx563j1E6qru7G+fPn4dcLmcf9J6eHhZ9AQ8zC3a7fVc0zxtdG4Ad\nCw99HyAkitH3fKTLR0D0PUVWdNjTYAij0cjEWki1kDSqKVLcSWQrJGfx0b/QSPCvQT+nKFbYK00G\nXmh4CTuphwoNAi/dSqDSDqX3XS4XIpEIYrFYlegJT9pTKBSMma5Wq5nBImfqSdfJr5deX6PRoKOj\nA1KpFCaTiaXMqTWMiIRUjtBqtVXKdXwZZifpc36tvNPBkxGJzEcZHlKQI10AXoiI517w93St/djO\nnkp26qHsAZ6ahYgQcYCxt0SJHWB2drbuZ5s/f4TRN1//5lOhZBjJeNOozlwuh3g8jlwuh/X19apU\nMR/90vM3gloRI79WWhc/jIOPwHnjzBsDnqDGC8AI17YTp4NfM5+q5TMCFGEDj4h+fE2WhFXIKPGR\nOb1PoZ78TiNx/toS6YsIbdReK5VKmWHkiYm0Lt6Q0t7Xq3/vZJ182pu/3ny6npwMuu9I9IbKKzRS\nmO6FzVjxtdbY19f32A+/VxG4CBEinl7UiiCFBlRY06TDs1KpMNWs1tZWNmGLvnYagRP4SI6P8Gql\n1QE89nrCyJA31k9a995q3bRm4NH+USRI6+AlZoFH7WG0t3zUyO/nk6y7VoqbMhtUOiFuA72msB2M\nr9vXYnTvBoQESqC684F+T/calX544iPtEzl1wufdKUQDLkKEiKcCtYyBMJXMq3jxhyKByiRCo7OT\nKJF/fK16qPDfeun2Wv/firS0WwadMhm0Nr4HmX+M0JGgv+GlZ/m17rRWL1xbre+FTobQAPJOkvBv\nCJtdh52uk389viTCZ2Fojfy/fKaiXkZnp+sUDbgIESK+NTRquDYzdLyCVa1IezeMYa1oWkiMq2eQ\ndsqC3o21Ao8iw1pGrd466Xebkf92I6NRbz94XgH/WkLOAf9ce4HN1lmvDYzPxACPJujViryf2Ll4\nimrgIkSIECFChIgG8f2boiBChAgRIkR8ByAacBEiRIgQIeIAQjTgIkSIECFCxAGEaMBFiBAhQoSI\nAwjRgIsQIUKECBEHEKIBFyFChAgRIg4gRAMuQoQIESJEHECIBlyECBEiRIg4gBANuAgRIkSIEHEA\nIRpwESJEiBAh4gBCNOAiRIgQIULEAYRowEWIECFChIgDCNGAixAhQoQIEQcQogEXIUKECBEiDiBE\nAy5ChAgRIkQcQIgGXIQIESJEiDiAEA24CBEiRIgQcQAhGnARIkSIECHiAEI04CJEiBAhQsQBhGjA\nRYgQIUKEiAMI0YCLECFChAgRBxCiARchQoQIESIOIEQDLkKECBEiRBxA/D/7MJLeAWIrNQAAAABJ\nRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f2f82ba51d0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(7, 4))\n",
"plt.subplot(121)\n",
"plot_digits(X_train[::2100])\n",
"plt.subplot(122)\n",
"plot_digits(X_recovered_inc_pca[::2100])\n",
"plt.tight_layout()"
]
},
{
"cell_type": "code",
"execution_count": 45,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"X_reduced_inc_pca = X_reduced"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Let's compare the results of transforming MNIST using regular PCA and incremental PCA. First, the means are equal: "
]
},
{
"cell_type": "code",
"execution_count": 46,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"True"
]
},
"execution_count": 46,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"np.allclose(pca.mean_, inc_pca.mean_)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"But the results are not exactly identical. Incremental PCA gives a very good approximate solution, but it's not perfect:"
]
},
{
"cell_type": "code",
"execution_count": 47,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"False"
]
},
"execution_count": 47,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"np.allclose(X_reduced_pca, X_reduced_inc_pca)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Using `memmap()`"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Let's create the `memmap()` structure and copy the MNIST data into it. This would typically be done by a first program:"
]
},
{
"cell_type": "code",
"execution_count": 48,
"metadata": {},
"outputs": [],
"source": [
"filename = \"my_mnist.data\"\n",
"m, n = X_train.shape\n",
"\n",
"X_mm = np.memmap(filename, dtype='float32', mode='write', shape=(m, n))\n",
"X_mm[:] = X_train"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now deleting the `memmap()` object will trigger its Python finalizer, which ensures that the data is saved to disk."
]
},
{
"cell_type": "code",
"execution_count": 49,
"metadata": {},
"outputs": [],
"source": [
"del X_mm"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Next, another program would load the data and use it for training:"
]
},
{
"cell_type": "code",
"execution_count": 50,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"IncrementalPCA(batch_size=525, copy=True, n_components=154, whiten=False)"
]
},
"execution_count": 50,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"X_mm = np.memmap(filename, dtype=\"float32\", mode=\"readonly\", shape=(m, n))\n",
"\n",
"batch_size = m // n_batches\n",
"inc_pca = IncrementalPCA(n_components=154, batch_size=batch_size)\n",
"inc_pca.fit(X_mm)"
]
},
{
"cell_type": "code",
"execution_count": 51,
"metadata": {},
"outputs": [],
"source": [
"rnd_pca = PCA(n_components=154, svd_solver=\"randomized\", random_state=42)\n",
"X_reduced = rnd_pca.fit_transform(X_train)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Time complexity"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Let's time regular PCA against Incremental PCA and Randomized PCA, for various number of principal components:"
]
},
{
"cell_type": "code",
"execution_count": 52,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"n_components = 2\n",
" PCA: 5.3 seconds\n",
" IncrementalPCA: 24.7 seconds\n",
" PCA: 5.3 seconds\n",
"n_components = 10\n",
" PCA: 3.5 seconds\n",
" IncrementalPCA: 23.7 seconds\n",
" PCA: 3.9 seconds\n",
"n_components = 154\n",
" PCA: 14.6 seconds\n",
" IncrementalPCA: 39.9 seconds\n",
" PCA: 12.7 seconds\n"
]
}
],
"source": [
"import time\n",
"\n",
"for n_components in (2, 10, 154):\n",
" print(\"n_components =\", n_components)\n",
" regular_pca = PCA(n_components=n_components)\n",
" inc_pca = IncrementalPCA(n_components=n_components, batch_size=500)\n",
" rnd_pca = PCA(n_components=n_components, random_state=42, svd_solver=\"randomized\")\n",
"\n",
" for pca in (regular_pca, inc_pca, rnd_pca):\n",
" t1 = time.time()\n",
" pca.fit(X_train)\n",
" t2 = time.time()\n",
" print(\" {}: {:.1f} seconds\".format(pca.__class__.__name__, t2 - t1))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now let's compare PCA and Randomized PCA for datasets of different sizes (number of instances):"
]
},
{
"cell_type": "code",
"execution_count": 53,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.text.Text at 0x7f2f82b43a20>"
]
},
"execution_count": 53,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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u+CSklEEbataEc891s8BaQooOVlMyxuQshw9D//4wfjyMGgXNm5+0eskSd89R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\nQzilIAiCoDCEUwqCIAgKw/8AtWXgJTO5Cp0AAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f2f834564a8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"times_rpca = []\n",
"times_pca = []\n",
"sizes = [1000, 10000, 20000, 30000, 40000, 50000, 70000, 100000, 200000, 500000]\n",
"for n_samples in sizes:\n",
" X = np.random.randn(n_samples, 5)\n",
" pca = PCA(n_components = 2, svd_solver=\"randomized\", random_state=42)\n",
" t1 = time.time()\n",
" pca.fit(X)\n",
" t2 = time.time()\n",
" times_rpca.append(t2 - t1)\n",
" pca = PCA(n_components = 2)\n",
" t1 = time.time()\n",
" pca.fit(X)\n",
" t2 = time.time()\n",
" times_pca.append(t2 - t1)\n",
"\n",
"plt.plot(sizes, times_rpca, \"b-o\", label=\"RPCA\")\n",
"plt.plot(sizes, times_pca, \"r-s\", label=\"PCA\")\n",
"plt.xlabel(\"n_samples\")\n",
"plt.ylabel(\"Training time\")\n",
"plt.legend(loc=\"upper left\")\n",
"plt.title(\"PCA and Randomized PCA time complexity \")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"And now let's compare their performance on datasets of 2,000 instances with various numbers of features:"
]
},
{
"cell_type": "code",
"execution_count": 54,
"metadata": {
"scrolled": true
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.text.Text at 0x7f2f83324a58>"
]
},
"execution_count": 54,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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C+/bQtCm0a+dLCPkysaxZk8GhhJCpJGPHZiBCWI+xY0PvY+3ajFzF0qJFC8qUKcNJJ51E\npUqVSElJObju+eefp3z58tSpU4ddu3YxYsQIAP7++28qV66c7X5HjRpF/fr1OfXUU2nVqhXz589n\nzpw5uYrNGJMHPf88rFkDL7/sWwj5MrFUrVoA2Bm0dCdt2hRAvRtbOT3atAm9jypVcndKP/zwQ7Zt\n28bUqVNZuHAhGzduPLjuscceY9OmTaxdu5YPPviAGjVqAFChQgXWrVuXxR6d0aNH06ZNGwAqV67M\npZdealctxiS6b76BF1+EiROhaFHfwsiXiaVPn9upXbsnhxLDTmrX7kmfPrfHdB/AwVZcl1xyCbfd\ndhuPPvpojtv8+9//ZtKkSVmu/+mnn1iyZAn9+/encuXKVK5cmV9++YXx48eTkZG7KypjTB6Rng5t\n2sDYsVC9uq+h5MvEUrNmEl9+2Zk2bQbSpElP2rQZyJdfdqZmzfB7pEZiH8EeeughvvrqqxxvWfXq\n1Ysff/yRJ5544mBrr6VLl3Lrrbeybds2RowYQfPmzVmwYAFz5sxhzpw5zJs3j127dvHpp58edXzG\nmDiV2QnygQfgssv8jsY6SPqpVq1aDBs2jKZNmx5c1rFjRzZs2EDp0qWpVq0avXv3DrntkiVLeOqp\np/jmm284cOAANWrUoEOHDtxxxx1Ur16d0aNHc+WVVx62TadOndiwYQMTJkwIuc94P1/GmCx06uSu\nWN57L1f9VaLVQdISiznIzpcxedCYMdCrF/z6K5Qtm6tNLbFkwxJLZNj5MiaPmTvX3fr6+ms488xc\nb54wQ7qISEcRmSEie0RkeA5la4rIZBHZJiIbROTZWMVpjDFxbcsWuOEGeOmlo0oq0eRH5f0aoA/w\nZnaFRKQw8CXwFXACUA0YE/XojDEm3mVkwG23weWXQ9u2fkdzhJjPIKmqHwCIyLlA1WyK3g6sUdVX\nApb9HsXQjDEmbxgwADZsgHff9TuSkOK5ufEFwEoR+URE/hKRb0TkdL+DMsYYX331Fbz6qksqRYr4\nHU1I8TznfTUgGbgG+AZ4CPhQRE5R1f3BhQOHQklOTiY5OTkmQRpjTMysWuVufY0fD9Wq5Xrz1NRU\nUlNTIx9XEN9ahYlIH6CqqnbIYv0HQGlVvSxg2RbgElWdF1TWWoVFgJ0vY+LY3r1wySVw443w+OMR\n2WXCtArLhbmAfcoZYwzAQw+5q5THHvM7khz50dy4oIgUAwoChUSkqIgUDFF0DHCBiDQVkQIi8jDw\nF7AglvEaY4zvRo50A0yOGOGGV49zflyxdAd2AU8AbbzfnxKR6iKyXUSqAajqYqAtMBTYhKtruTZU\n/UpeFTg1ceXKlenQocPBqYk///xzGjduTJkyZahUqRJNmjRh8uTJh22fmppKgQIFGDhwoB/hG2Ni\nYfZs6NLFDddSpozf0YQlX/a8f/buu9mzePERy4vVqUPX//0vrGNGYh81a9Zk+PDhNGnShHXr1tG8\neXOuueYaGjZsSIcOHXj55Ze58cYbKV26NN9//z1jxoxh6NChB7fv0KEDkydP5sQTT2TevHnZHCk8\nVsdiTJzZvBnOOQf69oWWLSO++2jVscRzq7Co2bN4MSlTpx6xPCXG+4BDw+ZXrlyZK664grlz5zJ2\n7Fh69ux5cI57cMPqX3LJJQef7969m4kTJzJs2DDatWvHrFmzDs4waYxJABkZcOutcM01UUkq0RTP\nlff5yurVq/nkk08oWbIk6enp3HDDDdmWnzhxIqVLl+amm26iefPmjBo1KkaRGmNiom9fN2zL88/7\nHUmuWWIJNHVqePMSi7iyEdCiRQvKly/PpZdeSpMmTXjwwQcBwpp6uGXLlogIrVu3Zvz48Rw4cCAi\nMRljfPb55zBkCEyYAIUL+x1NrlliCdS4cXjzEqu6shHw4YcfsmnTJtLS0hg0aBAVKlQAyHbq4fT0\ndL799ltat24NwLXXXsvu3buZMmVKRGIyxvhoxQpo1851gqxSxe9ojoolFp8FV5afcsopVK9ePdup\nh0eNGoWqcs0111C5cmVq167N3r177XaYMXndnj2uA+QTT8Cll/odzVHLl5X3xerUCVnJXqxOnZju\nIysvvPACd955JxUqVOD666+nVKlSTJs2jTFjxjBkyBBGjx5NSkoK99xzz8Ftpk+fzk033cTmzZsp\nV67cMcdgjPFB585QsyY8/LDfkRyTfNncOF6Empo40xdffMEzzzzD7NmzKV68OPXq1eOxxx6jfPny\nNGnShNWrVx+8bZbpjDPO4L777uP+++8/qnji/XwZk9CGD3cV9b/8AqVLx+SQNoNkNvJqYok3dr6M\n8cmsWW5ule++g7p1Y3bY/DhWmDHGJL5Nm9xMkIMHxzSpRJNdsZiD7HwZE2MZGXDVVXDaafDCCzE/\nvF2xGGNMoundG3buhGef9TuSiMqXrcKMMcZ3n3wCw4bBr7/myU6Q2bHEYowxsZaWBu3bw6RJcOKJ\nfkcTcXYrzBhjYmn3bldZ360bNGrkdzRRkdBXLElJSUgemBQnXiQlJfkdgjGJTRU6doQ6deCBB/yO\nJmoSOrGsWLHC7xCMMeaQYcNg+nT3SOAvvQnd3NgYY+LGjBlw5ZXwww9wyil+RwMkUHNjEekoIjNE\nZI+IDA9zm29EJENErE7IGJP3bNwIN90EQ4fGTVKJJj8+qNcAfYA3wyksIq2BgoBdkhhj8p4DB6B1\na7j5Zrj+er+jASAtbSVt2/aK2v59uxUmIn2AqqraIZsyZYBfgHbAT0BhVc0IUc5uhRlj4lOPHu72\n15dfQiH/q7XT0lbSrNkgli3rBZTKl3Pe9wMGA+v9DsQYY3Jt8mQYMcJ1goyDpALQo8cIL6mUjNox\n4rbOQkTOAS4CBvkdizHG5NrSpXDHHW564UqV/I4GgH/+gZ9/ziCaSQXi9IpFXOeT14AHVVUljM4o\nKSkpB39PTk4mOTk5avEZY0y2du1ynSCffhouvNDvaAD46ivo0CGVzZunAt2AIlE7VlzWsYhIWeBv\nYAMguMr7isCfwE2qOi2ovNWxGGPigyrcdpsbuXj0aN/7q6xaBY884qZ8efllOP30lTRvHt06Fj+a\nGxcUkWK4ZFFIRIqKSMHAMqq6FagCnAXUB670VjUApscyXmOMyZUhQ+C331zTYh+Tyt690K8fNGgA\nZ5wBf/wB114LtWol8eWXnWnTZmDUjh3zKxYR6Qn05PDmw72At4D5QF1VTQ/aJglYjrUKM8bEs+nT\n4ZprYNo0OPlk38L49FM3Ysxpp7mrlJo1Q5ezqYmzYYnFGOO7v/6Chg1h0CC47jpfQkhLg4cfdlcn\nr7ziOvpnJ2F63htjTMI5cABatYI2bXxJKrt3Q69ecM45cO65MG9ezkklmuKyVZgxxuQpPXq4n336\nxPzQkyfDQw/B2We7qp2TTop5CEewxGKMMcfiww9hzBiYOTOmnSCXLnUJZelS116gWbOYHTpHdivM\nGGOO1pIlcNdd8O67cPzxMTnkrl3QvTtccAFceinMnRtfSQXsisUYY47Ozp1uUMleveD886N+OFV4\n/33XJ+WCC2D2bKhWLeqHPSrWKswYY3JLFdq2dbe+RoyIen+VRYtc8+H0dPi//4MmTSKz37hpFSYi\nZcMZYsUYYxLWa6/B77/D669HNans2AFdu8LFF8N//uOuUiKVVKIprMQiIoVEpLeI/I0baqWmt7yv\niNwVzQCNMSau/Pgj9O4N770HJUpE5RCq8M47ULcurFnjmg8//DAULhyVw0VcuHUsTwGtgPuBwFkf\nZwOPAm9EOC5jjIk/69fDLbfA8OFQu3ZUDjF/PnTu7CadHDcOLrkkKoeJqnBvhd0K3KOq7wCBQ6rM\nAxJ/nk1jjNm/H1q2hNtvh6uvjvjut22DRx+Fxo2hRQvXejkvJhUIP7FUBZZlsX30xl42xph40a0b\nFCkCAVN0RIIqjB3rbntt3uyGY+ncOW7mBTsq4Ya+AGgErAxafgPwW0QjMsaYeDNpkpuw69dfoWDB\nnMuHae5c6NTJtVyeODFupm45ZuEmlmeAYSJyIu4q5VoROQXoAPgz2poxxsTCokVw773wySdQsWJE\ndrllC/TsCePHu3YAd90V0Xzlu7Buhanqe8DtwM1AYWAgcC5wo6p+FrXojDHGTzt2uE6Q/fq50R2P\nUUaG6/ZSt64bOHL+fJezEimpwFF2kJQ465EYZ+EYYxKBqhuxuEQJePPNY+6vMmuWu+114IDr5BiB\nPHXMotVBMtfVQ17nSAnsJBlq8i1jjMnTXn0VFi92k3YdQ1LZtMmN7TVpEvTtCx06QIEEH6Ux3A6S\nVUXkHRHZAOwH9gU9jDEmcfzwg7v9NWkSFC9+VLvIyIA33nC3vURgwQK4887ETyoQ/hXLGKAc0ANY\nz+HTChtjTOJYt851gnzrrazn9M3BjBnQsaNrMvzZZ26ulPwkrDoWEdkBnK+qfxzzAUU64hoCnAGM\nU9UOWZRrBzwAnAxsBcYDT9qc98aYqNm3Dy67DJo2Par+Khs3uu4ukyfDs8/CrbfG9xWK34NQ/g4c\nF6FjrgH6AG/mUK448CBQATgfuAzoEqEYjDHmSF27QsmS8PTTudrswAE3HuVpp7m6/gUL4Lbb4jup\nRFO4t8LuAV4SkQG4JHNYvYqqbgj3gKr6AYCInIvr0Z9VuaEBT9eJyFggOdzjGGNMrrz7rhtYcubM\nXGWEn35yt71KlYKvvoIzz4xijHlEuIllL66O5ZOg5YKrb4lFK+xLgWO+FWeMMUdYsADuvx8+/xzK\nlw9rkw0b4Ikn4Isv4LnnoHXrqE/LkmeEm1hGAztwHSRjXnkvIu2BhsAdsTyuMSYf2L7ddYIcMAAa\nNMix+P79MHgw9OnjbnctWABlysQgzjwk3MRSDzhbVRdFM5hQRKQF0A+4TFU3ZVUuJaCiLTk5meTk\n5KjHZozJ41Rdx5JGjdzPHHz3nevkePzxMHWqq1PJS1JTU0lNTY36ccJtFfY90EtVv4rYgUX6AFWz\nahXmlfkPMBK4UlVnZlPOWoUZY3LvxRfdpCc//ADFimVZbN06eOwxl0xeeAFuuikxbnv53fP+ZQ5V\n3s/jyMr7+eEeUEQK4sYbKwgUEpGiwH5VPRBUrimu/0yL7JKKMcYcle++c5Uj06dnmVT27YNBg1xf\nybvucre9SpWKcZx5ULhXLMF9RzI3EkBVNezKexHpCfTk8HqaXsBbwHygrqqmi8g3uKH693CokcD3\nqnpViH3aFYsxJnxr18I557hOkJdfHrLIt9+6217VqrnRXU5JwCkNo3XFEm5iyfaU+lH3EsgSizEm\nO8/efTd7Fi92TzIyYM4cKFeOYs2b0/V//zusbHq6m8lx+nR46SU3m2Mi3PYKxddbYX4nDmOMORZ7\nFi8mZerUwxdu20ZKZrIB/vnHJZLnn4f77nMXMyVKxDjQBJFlYhGRK4EvVXWf93uWVDW4f4sxxuQZ\nX3zhpgM++WT4+Wf417/8jihvy+6K5WPgRGCD93tWYtVB0hhjcm/lSjf8fQh79sANN8Bvv8Err8A1\n18Q4tgSV3bgFxQOGaimezcMuFo0x8WfpUrjjDmjQgP1ZFJkxYw/167uZHC2pRE6WiUVV9wY8rY9r\nErw38IFrdlw/2kEaY0zYFi50wwpfcIFr0rVkCUsOFAlZ9Ljj/uTpp7PtwmKOQrj9WH4CKuNuiwUq\n562zW2HGGH/NmwfPPOPaCT/4oJv/t2xZANILlCeZGkdssr/othgHmT+Em1gy+5EEKwfsilw4xhiT\nS7NmuYTy00/wyCNufnqvF+P+/W7Q4vl7rmMLXYCSARvupE3Tgb6EnOiyTSwiMsH7VYFhIhJ4e6wg\n7jbYz1GKzRhjsjZ9uhsJcvZsN97KmDEH2wfv3u2aCw8c6O6GvfDC7fTr15Nly3rhkstOatfuSZ8+\nnX19CYkqpyuWzGFWBMgIeA6wGxgLvB6FuIwxJrTvv3cJZdEiN279xIkHK0k2b3YjDw8aBOef73LN\nRRcBJNGkSWd69BjI2rUZVKlSgD59OlOzZpKvLyVRhdvzvj/wjKrujH5IuWc9741JcKqu7qR3b1i9\nGp58Etq1gyKuUn7NGte5cfhwuO46dwGT10Ye9oPfPe+fjPSBjTEmR6pu8q0+fdyE8k895WbUKuQ+\nuhYudD3/V8AhAAAgAElEQVTl33/fzY0yZw5Ur+5zzCbsyntjjIkdVZg82SWU3buhe3c3Vn1B1wB1\n+nQ3L9e0aW6gyKVLw5740cSAJRZjTPzIyHDzzj/zjBv5sXt3+O9/oUABd/HyGTz7LKxYAV26HFZf\nb+KIJRZjjP8OHIAJE1xCKVnSXalcfTWIuCbD77grlAMHoGtXuPlmKFzY76BNViyxGGP8s2+fm8Gx\nXz833++LL0Lz5iByRJPhfv3giisSdwj7RBJWYhGRm7NYpbiJuJaq6oKIRWWMSWz//AMjR0L//pCU\nBEOGQHIyiGTTZNjkFeFesYzF9WUJHlssw1uOiEwHrlHVvyMXnjEmoezZ43rGDxgAdevCqFHQqBFw\neJPha6+Fb76xJsN5VXajGwe6ApgFXAaU8h6XAb8CVwMXectsfARjzJF27XJZo3Zt+Owz16nx88+h\nUSMWLnSDEJ9xhqtDmTMHRoywpJKXhZtYXgYeUtVvVXWX9/gWeBQYqKrTgYeBf+e0IxHpKCIzRGSP\niAzPoezDIrJORDaLyDARseo6Y/KS7dvhueegVi344Qf4+GPXjPi885g+Ha6/Hho3dnfDlixxucf6\noeR94SaW2sDWEMu3AbW835cCFcLY1xqgD/BmdoVE5HLgcaAJUMOLoVd44RpjfLV1q2vhVbu2GyTy\nyy9h0iT0rLP57DNo0gRuucX9XL4cnn4aKoTz6WHyhHATyyzgORE5+Kf3fn8WmOkt+hcuaWRLVT9Q\n1Y+ATTkUbQe8qaoLVXUrLhm1DzNeY4wfNm1yWaJ2bTdr43ffwdtvs7/uGYwfD2ef7YZbueMOd4XS\nubNrXWwSS7iV93cCHwFrRGQFrjVYDWA1cK1Xphwu0URKPeCDgOdzgBNEpJyqbo7gcYwxx2rDBtdU\n+I03XIfG6dOhdm3XZHiwNRnOb8IdK2yBiJyKq6g/BdcSbAEwRVUPeGUmRji2Uhx++22rd9zSgCUW\nY+LBunVusK4RI6BlS3fbKynJNRnua02G86uwO0h6CeTDKMYSbAdQJuB5GdyV0vZQhVNSUg7+npyc\nTHJychRDMyafW73aVcqPHeumAZ43D6pWdU2Gu1iT4XiVmppKampq1I8T1rD5ACJyFtAUOIGguhlV\nfTzXBxbpA1RV1Q5ZrB8LLFfVHt7zpsAYVa0SoqwNm29MLKSlucG63n3XVZQ8+iiceOIRoww//DCc\ndJLfwZqc+Dpsvoh0Bl4B0oG1HD5Nca4+0UWkIFAYNwNlIREpCuzPvKUWYBTwloiMA/4EngLeys2x\njDERsmSJqyD56CO4915XMV+xohtl+H7XkrhTJ1fMWneZcCf6WgW8oqovHPMBRXoCPTk8IfXCJY35\nQF1VTffKPgR0BYoBE4H7VHVfiH3aFYsx0TB/PvTt6zozdu4MDzyAHleOzz93nefT0txFS4cO1ror\nL4rWFUu4iWUbcJaqLo90AJFgicWYCJs71/VDSU2Fhx6CTp3YX6IM7757aJThJ55wfVFslOG8K1qJ\nJdx+LO8SRq96Y0weN3MmtGgBl18O550Hy5ez++FuDB5Thjp14PXX3QXM3LnQtq0lFRNauK3CFgF9\nROQ8YB5w2O0oVR0c6cCMMTH0009uDpS5c+Hxx2H8eDbvKc7gV6zJsMm9cG+FrctmtYZqqRVLdivM\nmKM0dapLKEuXuhm02rdnzcaih40y/NhjUK+e34GaaPC1VZiqVo70gY0x0fXs3XezZ/HiI5YXO/lk\nut5yi0so6enQrRvceisLlxfh+fsPNRmePduaDJujYzNIGpOg9ixeTMrUqUcsT5k1C77/Hp56Clq1\nYvrMQgxoaU2GTeRkmVhE5Dmgl6ru9H7P0tF0kDTG+KRaNXTuPD7/qiADmrnRhbt0gdGjrcmwiYzs\nrlguwXVkzPw9K1a5YUw8yqLecb2ewNnnFLQmwyZqskwsqnphqN+NMXFu/3545x0yfvkl5Or09D30\nfRuuvNJGGTbREW4/FmNMvNu3D956y80lP2QI6UXLhCxWosSfXHWVJRUTPWFX3ovIdbh57kMNQnlz\nhOMyxoRr7143bP2zz0KtWhwY8gZTdjTmp5sbkkzdI4rvL7gt9jGafCXcQSj7Ak8AP+IGoQweMNIY\nE2t79sCwYW6MlXr12PDiGAbPuZg3b3eTah3X4Dqm/twFCKyR30mbpgN9CtjkF7npIPmoqo6Lfki5\nZx0kTb6ycycMHQoDB6INz2Fak+48l3oeP/wArVrBPffAmWdCWtpKmjUbxLJlvXDJZSe1a/fkyy87\nU7Nmkt+vwsQBvweh/Bs4T1WXRTqASLDEYvKF7dvhtdfgpZfYfc4ljE7qTt8pZ1GpkksmLVse2Vw4\nLW0lPXqMYO3aDKpUKUCfPrdbUjEH+Z1YngO2qGq/SAcQCZZYTELbsgUGDUJffZU/6/2bZws+xahZ\np3PLLS6hnH223wGavMrXIV28co+JyGXAXI4chNI6SBoTaX//DS+/TMZrr/N7jat4uOgPbNl+Cvfc\nA6s+gNKl/Q7QmNDCTSwXAguBEsAFQevsUsGYSNqwAR34AvuGDOO7Ctfz2P7pnNOwNgPugXPO8Ts4\nY3IW7iCU1kHSmGhbt45dvZ5HRo3gvcItGVNtFtd2TmJqGygTukuKMXHJBqE0xme6ajVrHhjAcZ+O\nYzTtWNJiHrc8UpVPzrNOjCZvym4QygnAnaq6zfs9S7npICki5YDhQDPgL6Cbqo4PUa4I8CrQwotz\nGnCvqmY3N4wxecammWms7tifpBkT+aL8nWjPBbS6vxLHHed3ZMYcm+yuWA5wqP4kkh0iBwN7gOOB\nBsAUEZmtqguCyj0EnA+cDmwDhgGDgBsjGIsxMaUKM8YtYXePfpyx4iNWnn4feycvpv0VFe3qxCSM\nsJobR+xgIiWAzcBpmX1iRGQUkK6q3YLKDga2qWpX7/mVwAuqesQYFdbc2MS7TZvg4+fmU+71vly8\n8wsWN+vEKa89QLla5fwOzeRj0WpuHOtBKOsA+4M6Ws4BQk18+ibQSEQqewmpDfBJDGI0JiJUYdo0\neOrqOXxX6SauezmZ0285nXJ/L+OCT3taUjEJKzeDUF4EtAROAooErlPVK8PcTSlga9CyrUCoFvmL\ngVXAGmA/MA/oGG68xvhlyxY3adb3L8/k7vV9eLLAdKT7o5R89C3Klirld3jGRF24g1C2BkYAU4Ar\ngE9xVx9VgHdzcbwdQHDDyTLA9hBlhwBFgXLALtwgmJ9xZD8aAFJSUg7+npycTHJyci7CMubYqML0\n6W4Ir/R3f+K5Mn24a99civZ9HLl7PBQv7neIxpCamkpqamrUjxPukC7zgMGq+rqIbAfqA2nAUGC9\nqvYI62DultYmoF5AHctIYE2IOpZ5uBZjk73nZXH1MxVVdVNQWatjMb7YuhXGjnUJpd7GqfQr0Yfq\ne5dSsFtXaN8eihb1O0RjsuR3HUst3FUKwD9ASe+T/CXgznAPpqq7gPeA3iJSQkQuBq4FRocoPgNo\nJyJlRKQw7jbYmuCkYkysqcKMGXDnnVAjSdn49lekamPGFutAja6tKLh0Mdx7ryUVk2+Fm1g2c6ge\nZA1wmvd7WQ6f7CEcHXFDw2wAxuL6piwQkUYiEjgDURdgL7AEWA/8B/hvLo9lTMRs3+6uTBo2hFtu\nVprv/4T1/7qIpzd0otxjdyKLFsEdd0CRIjnvzJgEFu6tsLeBn1T1FRHpCdwHvA9cDsxV1RbRDTPH\n+OxWmImaWbNcQpkwAZomZ9D9zI84a8ozyN690L073HgjFCzod5jG5Jrfw+afABRX1ZUiUhDoDlyM\na7nVU1X/jnRguWGJxUTajh3w9tsuoWzYAHfdkcH9lSZRfvAzLol07w4tWkCBWLfYNyZyfEssIlII\naAd8oqp/RjqASLDEYiJlzhyXTN5+Gy65BO69cz+Xb3mHAv37unHqe/SAq66yQbxMQvBtPhZV3S8i\n/wcc0ePdmESwaxe8845LKGvWuEr5uTP3US11DDzSD048EV5+GZo1s4RiTBjC7SD5C66J8cooxmJM\nTP3+u0sm48bBhRfCU0/BFU33UmjMCGj6LNSsCW+8AY0bW0IxJhfCTSz/B7wgIlWAmcDOwJWqOj/S\ngRkTDbt3w7vvuoSyYoVrxPXbb3DSCXtg2DA4dQDUqwdjxsDFF/sdrjF5UriV9xlBizI3EkBV1dcm\nMVbHYgKlpa2kR48RrFmTQdWqBejT53b27Eli6FCXL845x3UzufpqKLR3p8syAwe6Fd27w3nn+f0S\njIkJv+e8t/oVkyekpa2kWbNBLFvWC9fFaieTJvWkVKnO3HVXEjNmuDtcbN8OA1+Dl16CRo1gyhQ4\n+2yfozcmMWR7xSIiw4EHVTXUWF5xw65YTKa2bXsxdmwXDu+3u5NWrQYyblxPN0LkoEHw6qvw73+7\nipXTT/crXGN85UtzYxE5AFRW1Q2RPnAkWWIx4OY8aZLUgHI7jpwgvkClTXxz13Xw+uuuuXC3bnDK\nKT5EaUz88OtWmDWFMXHv77/hxRdhyBA4d98mPuO3I8r0WC+w7jw3BHHt2j5EaUz+EU63YbsUMHFp\n40Z48kmoUwf++gt+/RXq1z8xZNl9Z9V3rb4sqRgTdeEklj9F5EB2j6hHaUyAv/6CJ55wCWXzZjeW\n1//+5yrli2dxjV2sbNnYBmlMPhZOq7C7gS3RDsSYnKxfD88/D8OHQ6tWMHs2nHSSt3LhQujf3122\nGGN8FU5imRzvlfcmsf35Jzz3HIwYAW3awNy5UK2at3L2bOjXD1JToXNnOP98+PFHH6M1xuSUWKx+\nxfhm7VqXUEaNgnbt3BAsVap4K3/6Cfr2dffBHn3UXcaUKkWx1atJKVz4iH0Vq1MntsEbk4/l1Nw4\nAzgx3q9YrLlxYklPhwED3JS/t98Ojz0GlSvjpm789lt45hlYvhwefxw6dIBixfwO2Zg8yZfmxqpq\nk02YmFm9Gp59FsaPd/liwQKoVAmXUD6e4q5QNm1yTcHatIEQVybGGP+FO6SLMVGzcqWrd58wwQ1Z\nv3AhnHACcOAATJjk6lBUXadGm63RmLgX8ysSESknIu+LyA4RSRORVtmUbSAiU0Vku4isE5HOsYzV\nRNeKFXD33dCgAZQrB4sWuTqVE8rtg5Ej3SjDL74Iffq4SvpbbrGkYkwe4McVy2BgD3A80ACYIiKz\nVXVBYCERqQB8CjwITASKAtUwed7y5e4i5P333SjDixdDhQrAnj3w+lsuu9SsCa+9Bk2b2lwoxuQx\nMU0sIlICuB44TVV3A9NE5CPgVqBbUPFHgM9U9W3v+X5gUcyCNRG3dKmrJpk8Ge6/H5YsgfLlgZ07\n4cWh8MILcNZZrtb+oov8DtcYc5RifSusDrBfVZcFLJsD1AtR9gJgs4hME5H1IvKhiFSPSZQmohYv\nhttugwsugKQkl1B694byBba4Fl41a7rmwx9/7Iavt6RiTJ4W68RSCtgatGwrUDpE2WpAO6AzUB1Y\nAYyPZnAmshYuhLZt3USM//oXLFsGKSlQbv9friK+dm2XdaZOddM62nwoxiSEWNex7ACCxzQvA4Sa\n72U38L6qzgIQkV7ARhEpHWp+mJSUlIO/Jycnk5ycHKGQTW4tWODq27/6Ch58EAYPhjJlcB1Ueg50\nPR5vvhlmzIBatfwO15h8IzU1ldTU1KgfJ6ypiSN2MFfHsgmol3k7TERGAmtUtVtQ2VHAP6p6p/e8\nPPAXUE5VtwWVtQ6SceCPP1xC+eYbePhh6NQJSpfG1dYPGODaE7dv73rKV63qd7jG5HvR6iAZ01th\nqroLeA/oLSIlRORi4FpgdIjibwH/FZEzRaQw0AP4ITipGP/Nmwc33eQacDVo4PLIk09C6dXz4dZb\n4dxzoWJFd9vrxRctqRiT4PzoWd8RKAFsAMYC96rqAhFpJCIHk4aqfotrKfYJ8CdQC2jtQ7wmC3Pm\nwA03QLNmbuzHzFFWSi2e5VYkJ8Opp7rKlb594fjj/Q7ZGBMDMb0VFi12Kyy2Zs1yrbp++cWN43XP\nPVCiBDBtmksgc+ZAly6u92PJkjnuzxjjD7+mJjbmoJkzoVcv9/Pxx92YXsWLqaul79vXjc3Stavr\n+Vi0qN/hGmN8YonF5OiXX9wVyuzZLm9MmADFimS4fid9+8K2ba5SpVUrGxjSGGOJxWTt55/dFcrv\nv7u8MXEiFCt8wPU56dfPjdv11FPw3//aGF7GmIMssZgj/PijSygLF7qE8sEHUFT+gTFj3Lj2FSu6\nn1dcYeN4GWOOYInFHPT99y6hLFvmOsbfdhsUObAbhg13A0OefDIMHepae1lCMcZkwRKLYepUl1BW\nrHB3ttq1g8J7tsMrQ1y/k3PPhXfecYN9GWNMDiyx5FOqkJrqEkp6OnTv7k3KuGMz9B8Egwa5Ho+f\nfQb16/sdrjEmD7HEks+owtdfu1Zef/7pEkrr1lDo7/XQ4yV44w249lr44Qc45RS/wzXG5EE2p30+\noQpffAGNGrkxvO65B+bPh3ZNVlPokQegbl3XbHjmTHjrLUsqxpijZlcsCU7V3c3q3Ru2boUePdzA\nwgXTlsJ9A2DSJOjQwY0gWbmy3+EaYxKAJZYEkZa2kh49RrBmTQZVqxagd+/bWbAgid693QSNPXrA\njTdCwYV/QLt+8Pnnh6ZxrFDB7/CNMQnExgpLAGlpK2nWbBDLlvUCSgI7KVKkJ0lJnenbN4kbboAC\ns351veR//BEeesgllbJl/Q7dGOOjaI0VZoklATQ/uSH/LC0BBPZ+P0CR2rv4YvhLLqH88YcbMfKu\nu7wRI40x+Z0NQmlCUoXCazfyBauOWNdlRRE3sVbXrvDRRzYwpDEmJiyx5FGq8Mknbg75sntDf+HY\nWqI0LFoEhezPbIyJHWtunMdktvK64AJ44gn3OOfM0JXv5ev+y5KKMSbm7FMnj1CFL7+Enj1dd5Oe\nTys3Hj+VAv8bwu9z54TcpnjxYjGO0hhjLLHEvcye8j17wqZN0PfRTbTYNooCPYe4oervvdeNyTJt\nmt+hGmMM4ENiEZFywHCgGfAX0E1Vx2dTvjAwDyihqifFJkr/qcK337qE8tcG5ZXW02m2fAgFunwA\nV13lhl5p1AhEKDZvHikhbnkVq1PHh8iNMfldzJsbi0hmEukANACmABeq6oIsyj+FS0K1skosidbc\nODXVJZSt6dsZeulYzvttCLJjhxuH5fbb4fjj/Q7RGJMAEqIfi4iUADYDp6nqMm/ZKCBdVbuFKF8T\n+Bh4BHgj0RPLd9+5hFJq6WwG/msIdWa/gzRt6m53XXYZFLC2FsaYyEmUfix1gP2ZScUzB7g0i/Kv\nAk8Ce6IdmJ+mTYN+3Xdx2u8TeKfMEI5nDdL0bhj7B1Sp4nd4xhiTK7FOLKWArUHLtgKlgwuKyH+B\ngqr6kYg0jkVwsfbTTzDs0QVc/PtQJmWMpsgl51Pgvm5w5ZXWTNgYk2fF+tNrB1AmaFkZYHvgAu+W\n2QDgisxFOe04JSXl4O/JyckkJycfQ5jR9csP//BVx/dpsmgIg4ouoOh9HSh4769Qs6bfoRljElhq\naiqpqalRP44fdSybgHoBdSwjgTWBdSwiUh/4Bfgbl1SKAGWBDcAFqroqaL95oo5lzvvLWdTlDZqs\nGM4/J9ej0tP3UujGFlCkiN+hGWPyoYSoY1HVXSLyHtBbRO4CzgauBS4KKjoPqB7w/GJgkFd+Yyxi\njZj9+1n6yhS2DBhCrb9nQHI7yr4/lSJnnup3ZMYYExV+3MjviOvHsgGXJO5V1QUi0gj4RFXLqGqG\ntx4AEdkEZKjqXz7Ee3TWrGFtn2EUGfkGWzJOYsst91Ly1feof1xxvyMzxpiosmHzIykjA778ki0D\nhlDwh6m8V7glRTrfw39T6lPMRlcxxsSZhLgVlrA2bIC33mLvoKGs2VGW1/U+avYZRfsHSlPcLlCM\nMfmMJZajpep6NA4ZwoEpnzK1/PU8v/ttmvU4l173ic2lZYzJtyyx5NbmzTBqFAwZwp5/hPFl7uXZ\nYoO5q1M5Jt4HJUv6HaAxxvjLxggJhypMn+5mY6xZk61fTqdXlaEkbf+Dv1o9wKy0cnTpYknFGGPA\nEkv2tm+HoUOhQQNo3Zq/KtblvssWc/Iv4yja7FKWLRcef9wSijHGBLLEEsqcOXD//ZCUBJ9/Tnrn\nAbS7cAn1Rj5O9YYnsGyZm0a+VCm/AzXGmPhjiSXT7t2u7uSii+Dqq+HEE0n7aB63lX6Ps59oTp1T\nC7B0KXTrBqWPGNnMGGNMJqu8X7TI3e4aNQrOOw+6dmX5qVfSp38hJreABx6ApUuhbFm/AzXGmLwh\nf16x/PMPTJgATZtC48ZQrBjMmEHaa59wx4fXct5FhTjpJJdQnn7akooxxuRG/rpiSUtzU/oOHw6n\nneYm0GrRghVri9C3L7z3nqtaWbIEypXzO1hjjMmbEv+KZf9++OgjN8fJuefCnj1u7t9vvmHVBTdz\nT+ciNGwIJ5zgEkqfPpZUjDHmWCTuFcuaNfDmm+4KpXp1d3UyaRIUL87q1dDvPnc37O67XTVLxYp+\nB2yMMYkhYRJLSnIyqFKsZEm6FivmrkpatoSPP4b69QGXa/r3h3Hj4K67YOFCOP54X8M2xpiEkziJ\nZepU97NkSXjxRRg58mC74LVr4dlnYexY6NDBJZQTTvAzWmOMSVyJV8fSsKG7v1W6NOvWwUMPwemn\nQ+HCMH8+PP+8JRVjjImmxEssIqxfD488AvXqgYhLKC+8AJUq+R2cMcYkvoS5FZZp2TKoWxfatoXf\nf4cqVfyOyBhj8peESyz//LOHefOgalW/IzHGmPwp5rfCRKSciLwvIjtEJE1EWmVRrouIzBORbSKy\nTES6ZLffZBqTTCM2l9lnScUYY3zkRx3LYGAPcDzQFnhdROpmUfZW4DjgCqCTiNyc1U6nkspUvmd/\n9asjHW+ekpqa6ncIccPOxSF2Lg6xcxF9MU0sIlICuB7orqq7VXUa8BEugRxGVQeq6mxVzVDVxcCH\nwMXZH2EnVaokXnuE3LB/mkPsXBxi5+IQOxfRF+tP4TrAflVdFrBsDlAvjG0vAf7IevVOatfuSZ8+\ntx9DeMYYY45VrBNLKWBr0LKtQLYznIhIL0CAt7Iq06bNQL78sjM1ayYdc5DGGGOOnqhq7A4mchbw\ng6qWClj2CNBYVa/LYptOwMNAI1Vdl0WZ2L0IY4xJIKoqkd5nrJsbLwYKiUjtgNth9cniFpeIdAAe\nBy7JKqlAdE6MMcaYoxPTKxYAERkHKHAXcDbwMXCRqi4IKtcGGAgkq+qimAZpjDHmqPnRhKojUALY\nAIwF7lXVBSLSSES2BZTrA5QHZojIdq8/y2Af4jXGGJMLMb9iMcYYk9jirtOHiHQUkRkiskdEhget\nu0xEFni99r8WkZMC1hURkeEislVE1orIw+FuG4+81zNMRFZ4r2mmiPwnYH2+ORcAIjLaey1bRWSh\niNwRsC5fnYtMInKyiOwWkVEBy1p775ntIvKeiBwXsC7bUS+y2zZeiUiqdw62eXEvCFiXr84FgIi0\nFJH53utaIiIXe8tj+z+iqnH1AFoA1wKvAcMDllcAtuA6WBYBngN+CljfH5gKlAFOBdYBzcPZNh4f\nuNuFTwPVvedXAduAk/LbufDirgsU9n6v472ms/PjuQh4bZ97r22U97ye9x652Hv/jAXGB5Qf7z2K\ne2W2AHXD2TZeH8C3QPsQy/PjuWgGpAHnes8re4+Y/4/4fjKyOUl9ODyx3IVrqpz5vASwC6jjPU8H\nLgtY3xsYF862eeWB60z63/x+LoBTgLXAjfn1XAAtgbdxXz4yE0tfYExAmVrAXqCk99r2ArUD1o8C\n+uW0rd+vNYfz8C3QIcTy/HguphE6ycb8fyTuboVlox7ugxUAVd0FLAPqeZepVYC5AeUDe/RnuW2U\nY44YEakEnIxrmp0vz4WIvCYiO4EFuMTyCfnwXIhIGaAX8Ciu43Cm4NezHPgHd4WX06gX2W0b7/qL\nyAYR+V5EGnvL8tW5EJECwDnACd4tsFUi8qqIFMOH/5G8lFiy67VfCteEeWuIdTltG/dEpBAwBhih\nbty0fHkuVLUjLv5GwHu4f/b8eC56A2+o6pqg5Tmdi+xea149F4/jriiqAm8AH4lILfLfuagEFAZu\nwN3COwtoAHTHh/+RvJRYduDuAQYqA2z31knQ+sx1OW0b10REcEllL9DZW5wvzwWAOj8C1YH7yGfn\nQtzoFf8GXg6xOqdzkd1rzXPnAkBVZ6jqTlXdp6qjcLeDriT/nYvd3s9XVXWDqm4CXsSdi+3E+H8k\nLyWWP3BZGAARKQnUBn5X1S24Cqf6AeUDe/RntW02g1rGjTeBisD1qnrAW5Zfz0WgQrhvqr+Tv85F\nYyAJWCUi64AuwA0i8itHnotauArXxQSMehGwr+BzUT+LbfOifHUuvPd6eqhV+PF54XeFU4iKpoJA\nMaAfrkKtqLesIrAZV3ldFBgA/BiwXX9cRd5xuJYNa4Fm3rpst43XBzAE+BEoEbQ8X50L3Nw9t+Aq\nXgsAl+O+MV2dD89FMeCEgMfzwARcZ+LTcC14LvbO1WhgbMC243AtnEp4ZTZzqCVUttvG4wMoCzQP\n+Ixo470vTs5v58KLuxcw3ft/KQd8B6T48T/i+8kIcXJ6AhnAgYDH0966priK253AN8BJAdsVwX27\n34rLwA8G7TfLbePxgWtWnIFrgbHde2wDWuXDc1ERSAU2ef/wcwhoCZSfzkWIc9MTr1WY97wlsNJ7\nv7wHHBewrhzwPu72xgrglqB9ZbltPD6898Uv3t92E+5LWNP8eC68mAvhumlsxiWHl4Ai3rqY/o9Y\nz3tjjDERlZfqWIwxxuQBlliMMcZElCUWY4wxEWWJxRhjTERZYjHGGBNRlliMMcZElCUWY4wxEWWJ\nxRhjTERZYjEmgIgUF5GJIrJFRA7kpRkljYkXlliMOVwH3LD8F+Fm31sdiZ2KyFsi8lEk9mVMvCvk\nd+ORhkwAAAPbSURBVADGxJl/AQtUdb7fgWRFRAqp6n6/4zAmK3bFYhKOiHzrzTbZV0T+EpH1IvJ8\nONsBDwKNRSRDRL7xlhcWkQEislpEdojIdBFpHrBdAREZJiLLRWSXiCwWkccC1vcEbgOu8vZ7QEQu\nFZEk73mDoDgyROR67/fMMi1F5GtvBs27vXUXiUiqiOwUkXQRGSwipQP2c6mI/CQi271bez+JyGnH\ndHKNCYMlFpOoWgP7gAuBjsBDInJLDtv8F3gLN0puJeB6b/kI4BLciLenAyNxMxWe4a0vgJsL40bc\nsOPdgCdFpL23fiBuaPuvvP1W9o4Bbr6McPTDjVx7GvCBiJwOfA58AJzhxV4fGA4gIgW9dd95688D\nXsGNFm5MVNmtMJOo5qtqivf7UhG5G7gMeCerDVR1i4jsAv5R1b/g4CRPLYEkVc2cSGmwiDQD7gE6\nebelUgJ2tUpEGgKtgLdUdaeI7MbNq/NXZiE3Oehhc9Zn51VVfS9g2/7A26qaOZPkchHpCMwSkYq4\nBFIW+FhVV3hl4naiKpNYLLGYRDU36Pla3MRYudUA9+E/35smOlMR3NwUAIjIvcAduNkdi+PmH19x\nFMfLysyg5w2B2iLSMmCZ4K6AaqvqdBEZCXwhIl8DXwPvBiRHY6LGEotJVPuCnitHd+u3AG7CtXOA\n4Arz3fD/7d09axRRFIfx56nsbKyCEBRDChXxBQRfCNilEBX8AmJtpYWFWAaJFimjaCGIn0DQwkYr\nUwQVgoUKvhSC2Cti4bG4sxLWvEHGFMn/1yzM3Nk9s7B7uPee4UC3xDYDXAZe0BqyXQLOrfLev7vX\nvwlLXe43+X2JuO7R+poPz3q+AFTVRXUGmATOAFPq2ap6ukpcEeuSxBKxsle0P+6Rqnq+zJgTwFxV\nzQ4OqGNDY37R2ucuNlgWG1l07NAa43oJ7KuqjysNqqoFYAG4pT6mFREkscR/lc37iBVU1Xtaf/T7\n6nl1t3pEvaIOZiTvgMPqpDqmXgcmht7qE7BfHVd3dCXDP4E54Kq6Vz1O62G/lg39aeCoOqseVPeo\np9XbAOou9YZ6TB1VTwEHgDfr/U4iVpPEEptR3/22L9CqxaZpvb8f0arEPnfn79Cqvh7SerCP0irB\nFrvbXTsPfKM9gAntgUy662aBa0t8/j/3081EJmh7Os+A18AU8LUb8gMY7+J628X/ALi5hvuNWJf0\nvI+IiF5lxhIREb3K5n1sGepJ4AltaWm4kqqqavvGRxWx+WQpLLYMdRuwc7nzVfVhA8OJ2LSSWCIi\nolfZY4mIiF4lsURERK+SWCIioldJLBER0as//ebNejLLKsUAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f2f833e32e8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"times_rpca = []\n",
"times_pca = []\n",
"sizes = [1000, 2000, 3000, 4000, 5000, 6000]\n",
"for n_features in sizes:\n",
" X = np.random.randn(2000, n_features)\n",
" pca = PCA(n_components = 2, random_state=42, svd_solver=\"randomized\")\n",
" t1 = time.time()\n",
" pca.fit(X)\n",
" t2 = time.time()\n",
" times_rpca.append(t2 - t1)\n",
" pca = PCA(n_components = 2)\n",
" t1 = time.time()\n",
" pca.fit(X)\n",
" t2 = time.time()\n",
" times_pca.append(t2 - t1)\n",
"\n",
"plt.plot(sizes, times_rpca, \"b-o\", label=\"RPCA\")\n",
"plt.plot(sizes, times_pca, \"r-s\", label=\"PCA\")\n",
"plt.xlabel(\"n_features\")\n",
"plt.ylabel(\"Training time\")\n",
"plt.legend(loc=\"upper left\")\n",
"plt.title(\"PCA and Randomized PCA time complexity \")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Kernel PCA"
]
},
{
"cell_type": "code",
"execution_count": 55,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"X, t = make_swiss_roll(n_samples=1000, noise=0.2, random_state=42)"
]
},
{
"cell_type": "code",
"execution_count": 56,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"from sklearn.decomposition import KernelPCA\n",
"\n",
"rbf_pca = KernelPCA(n_components = 2, kernel=\"rbf\", gamma=0.04)\n",
"X_reduced = rbf_pca.fit_transform(X)"
]
},
{
"cell_type": "code",
"execution_count": 57,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Saving figure kernel_pca_plot\n"
]
},
{
"data": {
"image/png": 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0E4/z1PhbWb/mD77ukEXqleLhehmsXfsXlSpV4pwGdeD3xdxTO5W4jD1cN6Q/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k2n6CIPwiCMIjQRDOC4LQ723qmhMIgoCePXvix/37semHHxAREZH9W4UqVXBTr0dFAM0BuGg0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\nZOCF8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GOD06Phrd2QbIfWSdEcOnTohDSuW7OayxoexhiICoXLM8HevDNN/nQ/n61eR+fO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\nizYelFJKKaWUUtWijQellFJKKaVUtfw/XKa8jqCrgHgAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f2f8345eba8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from sklearn.decomposition import KernelPCA\n",
"\n",
"lin_pca = KernelPCA(n_components = 2, kernel=\"linear\", fit_inverse_transform=True)\n",
"rbf_pca = KernelPCA(n_components = 2, kernel=\"rbf\", gamma=0.0433, fit_inverse_transform=True)\n",
"sig_pca = KernelPCA(n_components = 2, kernel=\"sigmoid\", gamma=0.001, coef0=1, fit_inverse_transform=True)\n",
"\n",
"y = t > 6.9\n",
"\n",
"plt.figure(figsize=(11, 4))\n",
"for subplot, pca, title in ((131, lin_pca, \"Linear kernel\"), (132, rbf_pca, \"RBF kernel, $\\gamma=0.04$\"), (133, sig_pca, \"Sigmoid kernel, $\\gamma=10^{-3}, r=1$\")):\n",
" X_reduced = pca.fit_transform(X)\n",
" if subplot == 132:\n",
" X_reduced_rbf = X_reduced\n",
" \n",
" plt.subplot(subplot)\n",
" #plt.plot(X_reduced[y, 0], X_reduced[y, 1], \"gs\")\n",
" #plt.plot(X_reduced[~y, 0], X_reduced[~y, 1], \"y^\")\n",
" plt.title(title, fontsize=14)\n",
" plt.scatter(X_reduced[:, 0], X_reduced[:, 1], c=t, cmap=plt.cm.hot)\n",
" plt.xlabel(\"$z_1$\", fontsize=18)\n",
" if subplot == 131:\n",
" plt.ylabel(\"$z_2$\", fontsize=18, rotation=0)\n",
" plt.grid(True)\n",
"\n",
"save_fig(\"kernel_pca_plot\")\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 58,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Saving figure preimage_plot\n"
]
},
{
"data": {
"image/png": 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IMzwwEUlJGCMjaSwqwhIbi8FkIjzEN1uZm4vf62XNU0/hbW+n5OBBYjIziUlPZ/Ftt9Fa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\nb3E5HFw4eZKPX30Ve1dX8EapUqlwdHa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88UU2vfIKOZMntzRA/DUQzVijGvPsv/2NTUuX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\nAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f2f80cbbe80>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(6, 5))\n",
"\n",
"X_inverse = pca.inverse_transform(X_reduced_rbf)\n",
"\n",
"ax = plt.subplot(111, projection='3d')\n",
"ax.view_init(10, -70)\n",
"ax.scatter(X_inverse[:, 0], X_inverse[:, 1], X_inverse[:, 2], c=t, cmap=plt.cm.hot, marker=\"x\")\n",
"ax.set_xlabel(\"\")\n",
"ax.set_ylabel(\"\")\n",
"ax.set_zlabel(\"\")\n",
"ax.set_xticklabels([])\n",
"ax.set_yticklabels([])\n",
"ax.set_zticklabels([])\n",
"\n",
"save_fig(\"preimage_plot\", tight_layout=False)\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 59,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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GHD/OaMMLUJWcTHV6Os916MB9AP1ateIGg9Cj169/6WeuiImhX6VKvLNwIYO8vHhlwABe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\nA/wPbKr938FWswIAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f2f82bd9c88>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"X_reduced = rbf_pca.fit_transform(X)\n",
"\n",
"plt.figure(figsize=(11, 4))\n",
"plt.subplot(132)\n",
"plt.scatter(X_reduced[:, 0], X_reduced[:, 1], c=t, cmap=plt.cm.hot, marker=\"x\")\n",
"plt.xlabel(\"$z_1$\", fontsize=18)\n",
"plt.ylabel(\"$z_2$\", fontsize=18, rotation=0)\n",
"plt.grid(True)"
]
},
{
"cell_type": "code",
"execution_count": 60,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"GridSearchCV(cv=3, error_score='raise',\n",
" estimator=Pipeline(steps=[('kpca', KernelPCA(alpha=1.0, coef0=1, copy_X=True, degree=3, eigen_solver='auto',\n",
" fit_inverse_transform=False, gamma=None, kernel='linear',\n",
" kernel_params=None, max_iter=None, n_components=2, n_jobs=1,\n",
" random_state=None, remove_zero_eig=False, tol=0)), ('log_reg', LogisticRegre...ty='l2', random_state=None, solver='liblinear', tol=0.0001,\n",
" verbose=0, warm_start=False))]),\n",
" fit_params={}, iid=True, n_jobs=1,\n",
" param_grid=[{'kpca__gamma': array([ 0.03 , 0.03222, 0.03444, 0.03667, 0.03889, 0.04111,\n",
" 0.04333, 0.04556, 0.04778, 0.05 ]), 'kpca__kernel': ['rbf', 'sigmoid']}],\n",
" pre_dispatch='2*n_jobs', refit=True, return_train_score=True,\n",
" scoring=None, verbose=0)"
]
},
"execution_count": 60,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from sklearn.model_selection import GridSearchCV\n",
"from sklearn.linear_model import LogisticRegression\n",
"from sklearn.pipeline import Pipeline\n",
"\n",
"clf = Pipeline([\n",
" (\"kpca\", KernelPCA(n_components=2)),\n",
" (\"log_reg\", LogisticRegression())\n",
" ])\n",
"\n",
"param_grid = [{\n",
" \"kpca__gamma\": np.linspace(0.03, 0.05, 10),\n",
" \"kpca__kernel\": [\"rbf\", \"sigmoid\"]\n",
" }]\n",
"\n",
"grid_search = GridSearchCV(clf, param_grid, cv=3)\n",
"grid_search.fit(X, y)"
]
},
{
"cell_type": "code",
"execution_count": 61,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"{'kpca__gamma': 0.043333333333333335, 'kpca__kernel': 'rbf'}\n"
]
}
],
"source": [
"print(grid_search.best_params_)"
]
},
{
"cell_type": "code",
"execution_count": 62,
"metadata": {},
"outputs": [],
"source": [
"rbf_pca = KernelPCA(n_components = 2, kernel=\"rbf\", gamma=0.0433,\n",
" fit_inverse_transform=True)\n",
"X_reduced = rbf_pca.fit_transform(X)\n",
"X_preimage = rbf_pca.inverse_transform(X_reduced)"
]
},
{
"cell_type": "code",
"execution_count": 63,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"32.786308795766132"
]
},
"execution_count": 63,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from sklearn.metrics import mean_squared_error\n",
"\n",
"mean_squared_error(X, X_preimage)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# LLE"
]
},
{
"cell_type": "code",
"execution_count": 64,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"X, t = make_swiss_roll(n_samples=1000, noise=0.2, random_state=41)"
]
},
{
"cell_type": "code",
"execution_count": 65,
"metadata": {},
"outputs": [],
"source": [
"from sklearn.manifold import LocallyLinearEmbedding\n",
"\n",
"lle = LocallyLinearEmbedding(n_components=2, n_neighbors=10, random_state=42)\n",
"X_reduced = lle.fit_transform(X)"
]
},
{
"cell_type": "code",
"execution_count": 66,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Saving figure lle_unrolling_plot\n"
]
},
{
"data": {
"image/png": 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XCupo2ahbG8iXtKhI2kygQQllG9h5pZX7zhiz0hjzqTHmgO9YOxbONANHzrLG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\nQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f2f82aadb38>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.title(\"Unrolled swiss roll using LLE\", fontsize=14)\n",
"plt.scatter(X_reduced[:, 0], X_reduced[:, 1], c=t, cmap=plt.cm.hot)\n",
"plt.xlabel(\"$z_1$\", fontsize=18)\n",
"plt.ylabel(\"$z_2$\", fontsize=18)\n",
"plt.axis([-0.065, 0.055, -0.1, 0.12])\n",
"plt.grid(True)\n",
"\n",
"save_fig(\"lle_unrolling_plot\")\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# MDS, Isomap and t-SNE"
]
},
{
"cell_type": "code",
"execution_count": 67,
"metadata": {},
"outputs": [],
"source": [
"from sklearn.manifold import MDS\n",
"\n",
"mds = MDS(n_components=2, random_state=42)\n",
"X_reduced_mds = mds.fit_transform(X)"
]
},
{
"cell_type": "code",
"execution_count": 68,
"metadata": {},
"outputs": [],
"source": [
"from sklearn.manifold import Isomap\n",
"\n",
"isomap = Isomap(n_components=2)\n",
"X_reduced_isomap = isomap.fit_transform(X)"
]
},
{
"cell_type": "code",
"execution_count": 69,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"from sklearn.manifold import TSNE\n",
"\n",
"tsne = TSNE(n_components=2, random_state=42)\n",
"X_reduced_tsne = tsne.fit_transform(X)"
]
},
{
"cell_type": "code",
"execution_count": 70,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/home/ageron/dev/py/envs/ml/lib/python3.5/site-packages/sklearn/discriminant_analysis.py:387: UserWarning: Variables are collinear.\n",
" warnings.warn(\"Variables are collinear.\")\n"
]
}
],
"source": [
"from sklearn.discriminant_analysis import LinearDiscriminantAnalysis\n",
"\n",
"lda = LinearDiscriminantAnalysis(n_components=2)\n",
"X_mnist = mnist[\"data\"]\n",
"y_mnist = mnist[\"target\"]\n",
"lda.fit(X_mnist, y_mnist)\n",
"X_reduced_lda = lda.transform(X_mnist)"
]
},
{
"cell_type": "code",
"execution_count": 71,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Saving figure other_dim_reduction_plot\n"
]
},
{
"data": {
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xZUuGe3myvAocqAOn6kFalbTHBAYL8AWdoJ/Vwo8++ohr167ln3/+SafTycTE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\nZmaVeQBhZmZmZmaVeQBhZmZmZmaV/Q8wEEZXhZ8KiAAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f2f80d96fd0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"titles = [\"MDS\", \"Isomap\", \"t-SNE\"]\n",
"\n",
"plt.figure(figsize=(11,4))\n",
"\n",
"for subplot, title, X_reduced in zip((131, 132, 133), titles,\n",
" (X_reduced_mds, X_reduced_isomap, X_reduced_tsne)):\n",
" plt.subplot(subplot)\n",
" plt.title(title, fontsize=14)\n",
" plt.scatter(X_reduced[:, 0], X_reduced[:, 1], c=t, cmap=plt.cm.hot)\n",
" plt.xlabel(\"$z_1$\", fontsize=18)\n",
" if subplot == 131:\n",
" plt.ylabel(\"$z_2$\", fontsize=18, rotation=0)\n",
" plt.grid(True)\n",
"\n",
"save_fig(\"other_dim_reduction_plot\")\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": true
},
"source": [
"# Exercise solutions"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 1. to 8."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"See appendix A."
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": true
},
"source": [
"## 9."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"*Exercise: Load the MNIST dataset (introduced in chapter 3) and split it into a training set and a test set (take the first 60,000 instances for training, and the remaining 10,000 for testing).*"
]
},
{
"cell_type": "code",
"execution_count": 72,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"from sklearn.datasets import fetch_mldata\n",
"mnist = fetch_mldata('MNIST original')"
]
},
{
"cell_type": "code",
"execution_count": 73,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"X_train = mnist['data'][:60000]\n",
"y_train = mnist['target'][:60000]\n",
"\n",
"X_test = mnist['data'][60000:]\n",
"y_test = mnist['target'][60000:]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"*Exercise: Train a Random Forest classifier on the dataset and time how long it takes, then evaluate the resulting model on the test set.*"
]
},
{
"cell_type": "code",
"execution_count": 74,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"from sklearn.ensemble import RandomForestClassifier\n",
"\n",
"rnd_clf = RandomForestClassifier(random_state=42)"
]
},
{
"cell_type": "code",
"execution_count": 75,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"import time\n",
"\n",
"t0 = time.time()\n",
"rnd_clf.fit(X_train, y_train)\n",
"t1 = time.time()"
]
},
{
"cell_type": "code",
"execution_count": 76,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Training took 3.25s\n"
]
}
],
"source": [
"print(\"Training took {:.2f}s\".format(t1 - t0))"
]
},
{
"cell_type": "code",
"execution_count": 77,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.94550000000000001"
]
},
"execution_count": 77,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from sklearn.metrics import accuracy_score\n",
"\n",
"y_pred = rnd_clf.predict(X_test)\n",
"accuracy_score(y_test, y_pred)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"*Exercise: Next, use PCA to reduce the dataset's dimensionality, with an explained variance ratio of 95%.*"
]
},
{
"cell_type": "code",
"execution_count": 78,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"from sklearn.decomposition import PCA\n",
"\n",
"pca = PCA(n_components=0.95)\n",
"X_train_reduced = pca.fit_transform(X_train)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"*Exercise: Train a new Random Forest classifier on the reduced dataset and see how long it takes. Was training much faster?*"
]
},
{
"cell_type": "code",
"execution_count": 79,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"rnd_clf2 = RandomForestClassifier(random_state=42)\n",
"t0 = time.time()\n",
"rnd_clf2.fit(X_train_reduced, y_train)\n",
"t1 = time.time()"
]
},
{
"cell_type": "code",
"execution_count": 80,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Training took 10.31s\n"
]
}
],
"source": [
"print(\"Training took {:.2f}s\".format(t1 - t0))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Oh no! Training is actually 3 times slower now! How can that be? Well, as we saw in this chapter, dimensionality reduction does not always lead to faster training time: it depends on the dataset, the model and the training algorithm. See figure 8-6 (the `manifold_decision_boundary_plot*` plots above). If you try a softmax classifier instead of a random forest classifier, you will find that training time is reduced by a factor of 3 when using PCA. Actually, we will do this in a second, but first let's check the precision of the new random forest classifier."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"*Exercise: Next evaluate the classifier on the test set: how does it compare to the previous classifier?*"
]
},
{
"cell_type": "code",
"execution_count": 81,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.89080000000000004"
]
},
"execution_count": 81,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"X_test_reduced = pca.transform(X_test)\n",
"\n",
"y_pred = rnd_clf2.predict(X_test_reduced)\n",
"accuracy_score(y_test, y_pred)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"It is common for performance to drop slightly when reducing dimensionality, because we do lose some useful signal in the process. However, the performance drop is rather severe in this case. So PCA really did not help: it slowed down training and reduced performance. :(\n",
"\n",
"Let's see if it helps when using softmax regression:"
]
},
{
"cell_type": "code",
"execution_count": 82,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"from sklearn.linear_model import LogisticRegression\n",
"\n",
"log_clf = LogisticRegression(multi_class=\"multinomial\", solver=\"lbfgs\", random_state=42)\n",
"t0 = time.time()\n",
"log_clf.fit(X_train, y_train)\n",
"t1 = time.time()"
]
},
{
"cell_type": "code",
"execution_count": 83,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Training took 41.12s\n"
]
}
],
"source": [
"print(\"Training took {:.2f}s\".format(t1 - t0))"
]
},
{
"cell_type": "code",
"execution_count": 84,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.92520000000000002"
]
},
"execution_count": 84,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"y_pred = log_clf.predict(X_test)\n",
"accuracy_score(y_test, y_pred)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Okay, so softmax regression takes much longer to train on this dataset than the random forest classifier, plus it performs worse on the test set. But that's not what we are interested in right now, we want to see how much PCA can help softmax regression. Let's train the softmax regression model using the reduced dataset:"
]
},
{
"cell_type": "code",
"execution_count": 85,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"log_clf2 = LogisticRegression(multi_class=\"multinomial\", solver=\"lbfgs\", random_state=42)\n",
"t0 = time.time()\n",
"log_clf2.fit(X_train_reduced, y_train)\n",
"t1 = time.time()"
]
},
{
"cell_type": "code",
"execution_count": 86,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Training took 10.65s\n"
]
}
],
"source": [
"print(\"Training took {:.2f}s\".format(t1 - t0))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Nice! Reducing dimensionality led to a ×4 speedup. :) Let's the model's accuracy:"
]
},
{
"cell_type": "code",
"execution_count": 87,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.91979999999999995"
]
},
"execution_count": 87,
"metadata": {},
"output_type": "execute_result"
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"source": [
"y_pred = log_clf2.predict(X_test_reduced)\n",
"accuracy_score(y_test, y_pred)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"A very slight drop in performance, which might be a reasonable price to pay for a ×4 speedup, depending on the application."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"So there you have it: PCA can give you a formidable speedup... but not always!"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 10."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Coming soon."
]
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