1907 lines
1.5 MiB
1907 lines
1.5 MiB
{
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"cells": [
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"**Chapter 8 – Dimensionality Reduction**"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"_This notebook contains all the sample code and solutions to the exercices in chapter 8._"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"# Setup"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"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:"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 1,
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"metadata": {
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"collapsed": true
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},
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"outputs": [],
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"source": [
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"# To support both python 2 and python 3\n",
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"from __future__ import division, print_function, unicode_literals\n",
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"\n",
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"# Common imports\n",
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"import numpy as np\n",
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"import numpy.random as rnd\n",
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"import os\n",
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"\n",
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"# to make this notebook's output stable across runs\n",
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"rnd.seed(42)\n",
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"\n",
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"# To plot pretty figures\n",
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"%matplotlib inline\n",
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"import matplotlib\n",
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"import matplotlib.pyplot as plt\n",
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"plt.rcParams['axes.labelsize'] = 14\n",
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"plt.rcParams['xtick.labelsize'] = 12\n",
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"plt.rcParams['ytick.labelsize'] = 12\n",
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"\n",
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"# Where to save the figures\n",
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"PROJECT_ROOT_DIR = \".\"\n",
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"CHAPTER_ID = \"dim_reduction\"\n",
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"\n",
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"def save_fig(fig_id, tight_layout=True):\n",
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" path = os.path.join(PROJECT_ROOT_DIR, \"images\", CHAPTER_ID, fig_id + \".png\")\n",
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" print(\"Saving figure\", fig_id)\n",
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" if tight_layout:\n",
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" plt.tight_layout()\n",
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" plt.savefig(path, format='png', dpi=300)"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"# Projection methods\n",
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"Build 3D dataset:"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 2,
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"metadata": {
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"collapsed": false
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},
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"outputs": [],
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"source": [
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"rnd.seed(4)\n",
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"m = 60\n",
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"w1, w2 = 0.1, 0.3\n",
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"noise = 0.1\n",
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"\n",
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"angles = rnd.rand(m) * 3 * np.pi / 2 - 0.5\n",
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"X = np.empty((m, 3))\n",
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"X[:, 0] = np.cos(angles) + np.sin(angles)/2 + noise * rnd.randn(m) / 2\n",
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"X[:, 1] = np.sin(angles) * 0.7 + noise * rnd.randn(m) / 2\n",
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"X[:, 2] = X[:, 0] * w1 + X[:, 1] * w2 + noise * rnd.randn(m)"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"Mean normalize the data:"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 3,
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"metadata": {
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"collapsed": false
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},
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"outputs": [],
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"source": [
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"X = X - X.mean(axis=0)"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"Apply PCA to reduce to 2D."
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]
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},
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{
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"cell_type": "code",
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"execution_count": 4,
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"metadata": {
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"collapsed": false
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},
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"outputs": [],
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"source": [
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"from sklearn.decomposition import PCA\n",
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"\n",
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"pca = PCA(n_components = 2)\n",
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"X2D = pca.fit_transform(X)"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"Recover the 3D points projected on the plane (PCA 2D subspace)."
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]
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},
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{
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"cell_type": "code",
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"execution_count": 5,
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"metadata": {
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"collapsed": true
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},
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"outputs": [],
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"source": [
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"X2D_inv = pca.inverse_transform(X2D)"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"Utility class to draw 3D arrows (copied from http://stackoverflow.com/questions/11140163)"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 6,
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"metadata": {
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"collapsed": true
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},
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"outputs": [],
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"source": [
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"from matplotlib.patches import FancyArrowPatch\n",
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"from mpl_toolkits.mplot3d import proj3d\n",
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"\n",
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"class Arrow3D(FancyArrowPatch):\n",
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" def __init__(self, xs, ys, zs, *args, **kwargs):\n",
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" FancyArrowPatch.__init__(self, (0,0), (0,0), *args, **kwargs)\n",
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" self._verts3d = xs, ys, zs\n",
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"\n",
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" def draw(self, renderer):\n",
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" xs3d, ys3d, zs3d = self._verts3d\n",
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" xs, ys, zs = proj3d.proj_transform(xs3d, ys3d, zs3d, renderer.M)\n",
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" self.set_positions((xs[0],ys[0]),(xs[1],ys[1]))\n",
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" FancyArrowPatch.draw(self, renderer)"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"Express the plane as a function of x and y."
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]
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},
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{
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"cell_type": "code",
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"execution_count": 7,
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"metadata": {
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"collapsed": false
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},
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"outputs": [],
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"source": [
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"axes = [-1.8, 1.8, -1.3, 1.3, -1.0, 1.0]\n",
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"\n",
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"x1s = np.linspace(axes[0], axes[1], 10)\n",
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"x2s = np.linspace(axes[2], axes[3], 10)\n",
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"x1, x2 = np.meshgrid(x1s, x2s)\n",
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"\n",
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"C = pca.components_\n",
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"R = C.T.dot(C)\n",
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"z = (R[0, 2] * x1 + R[1, 2] * x2) / (1 - R[2, 2])"
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]
|
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"Plot the 3D dataset, the plane and the projections on that plane."
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]
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},
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{
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"cell_type": "code",
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"execution_count": 8,
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"metadata": {
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"collapsed": false
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},
|
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"outputs": [
|
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{
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"name": "stdout",
|
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"output_type": "stream",
|
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"text": [
|
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"Saving figure dataset_3d_plot\n"
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]
|
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},
|
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{
|
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"data": {
|
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KoB2IiALFgfvgkQzs0MKtQiXWDlQLCgBbdT1bql/4/X40NzejtbWVzaniTqRkXDJhhh5H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\n",
|
||
"text/plain": [
|
||
"<matplotlib.figure.Figure at 0x115087ac8>"
|
||
]
|
||
},
|
||
"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] > X2D_inv[:, 2]]\n",
|
||
"X3D_below = X[X[:, 2] <= X2D_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] > X2D_inv[i, 2]:\n",
|
||
" ax.plot([X[i][0], X2D_inv[i][0]], [X[i][1], X2D_inv[i][1]], [X[i][2], X2D_inv[i][2]], \"k-\")\n",
|
||
" else:\n",
|
||
" ax.plot([X[i][0], X2D_inv[i][0]], [X[i][1], X2D_inv[i][1]], [X[i][2], X2D_inv[i][2]], \"k-\", color=\"#505050\")\n",
|
||
" \n",
|
||
"ax.plot(X2D_inv[:, 0], X2D_inv[:, 1], X2D_inv[:, 2], \"k+\")\n",
|
||
"ax.plot(X2D_inv[:, 0], X2D_inv[:, 1], X2D_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": 9,
|
||
"metadata": {
|
||
"collapsed": false
|
||
},
|
||
"outputs": [
|
||
{
|
||
"name": "stdout",
|
||
"output_type": "stream",
|
||
"text": [
|
||
"Saving figure dataset_2d_plot\n"
|
||
]
|
||
},
|
||
{
|
||
"data": {
|
||
"image/png": 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kWhxncgPmA2eA/or7/mdS0QMeAu6pmL4ReK3G87Zk4NJq1QsYc0GNNftLL73kl19+uQO+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\nf9/q3GWtzg+cAq6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"text/plain": [
|
||
"<matplotlib.figure.Figure at 0x115be3978>"
|
||
]
|
||
},
|
||
"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": [
|
||
"PCA using SVD decomposition"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 10,
|
||
"metadata": {
|
||
"collapsed": true
|
||
},
|
||
"outputs": [],
|
||
"source": [
|
||
"m, n = X.shape\n",
|
||
"\n",
|
||
"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]\n",
|
||
"\n",
|
||
"S = np.zeros(X.shape)\n",
|
||
"S[:n, :n] = np.diag(s)"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 11,
|
||
"metadata": {
|
||
"collapsed": false
|
||
},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"text/plain": [
|
||
"True"
|
||
]
|
||
},
|
||
"execution_count": 11,
|
||
"metadata": {},
|
||
"output_type": "execute_result"
|
||
}
|
||
],
|
||
"source": [
|
||
"np.allclose(X, U.dot(S).dot(V))"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 12,
|
||
"metadata": {
|
||
"collapsed": false
|
||
},
|
||
"outputs": [],
|
||
"source": [
|
||
"T = X.dot(V.T[:, :2])"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 13,
|
||
"metadata": {
|
||
"collapsed": false
|
||
},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"text/plain": [
|
||
"True"
|
||
]
|
||
},
|
||
"execution_count": 13,
|
||
"metadata": {},
|
||
"output_type": "execute_result"
|
||
}
|
||
],
|
||
"source": [
|
||
"np.allclose(T, U.dot(S)[:, :2])"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 14,
|
||
"metadata": {
|
||
"collapsed": false
|
||
},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"text/plain": [
|
||
"True"
|
||
]
|
||
},
|
||
"execution_count": 14,
|
||
"metadata": {},
|
||
"output_type": "execute_result"
|
||
}
|
||
],
|
||
"source": [
|
||
"from sklearn.decomposition import PCA\n",
|
||
"pca = PCA(n_components = 2)\n",
|
||
"X2D_p = pca.fit_transform(X)\n",
|
||
"np.allclose(X2D_p, T)"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 15,
|
||
"metadata": {
|
||
"collapsed": true
|
||
},
|
||
"outputs": [],
|
||
"source": [
|
||
"X3D_recover = T.dot(V[:2, :])"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 16,
|
||
"metadata": {
|
||
"collapsed": false
|
||
},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"text/plain": [
|
||
"True"
|
||
]
|
||
},
|
||
"execution_count": 16,
|
||
"metadata": {},
|
||
"output_type": "execute_result"
|
||
}
|
||
],
|
||
"source": [
|
||
"np.allclose(X3D_recover, pca.inverse_transform(X2D_p))"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 17,
|
||
"metadata": {
|
||
"collapsed": false
|
||
},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"text/plain": [
|
||
"array([[ 0.93636116, 0.29854881, 0.18465208],\n",
|
||
" [-0.34027485, 0.90119108, 0.2684542 ],\n",
|
||
" [-0.08626012, -0.31420255, 0.94542898]])"
|
||
]
|
||
},
|
||
"execution_count": 17,
|
||
"metadata": {},
|
||
"output_type": "execute_result"
|
||
}
|
||
],
|
||
"source": [
|
||
"V"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 18,
|
||
"metadata": {
|
||
"collapsed": false
|
||
},
|
||
"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": [
|
||
"pca.components_"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 19,
|
||
"metadata": {
|
||
"collapsed": true
|
||
},
|
||
"outputs": [],
|
||
"source": [
|
||
"R = pca.components_.T.dot(pca.components_)"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 20,
|
||
"metadata": {
|
||
"collapsed": false
|
||
},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"text/plain": [
|
||
"array([[ 6.77645005, 0. , 0. ],\n",
|
||
" [ 0. , 2.82403671, 0. ],\n",
|
||
" [ 0. , 0. , 0.78116597]])"
|
||
]
|
||
},
|
||
"execution_count": 20,
|
||
"metadata": {},
|
||
"output_type": "execute_result"
|
||
}
|
||
],
|
||
"source": [
|
||
"S[:3]"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 21,
|
||
"metadata": {
|
||
"collapsed": false
|
||
},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"text/plain": [
|
||
"array([ 0.84248607, 0.14631839])"
|
||
]
|
||
},
|
||
"execution_count": 21,
|
||
"metadata": {},
|
||
"output_type": "execute_result"
|
||
}
|
||
],
|
||
"source": [
|
||
"pca.explained_variance_ratio_"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 22,
|
||
"metadata": {
|
||
"collapsed": false
|
||
},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"text/plain": [
|
||
"0.011195535570688864"
|
||
]
|
||
},
|
||
"execution_count": 22,
|
||
"metadata": {},
|
||
"output_type": "execute_result"
|
||
}
|
||
],
|
||
"source": [
|
||
"1 - pca.explained_variance_ratio_.sum()"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 23,
|
||
"metadata": {
|
||
"collapsed": false
|
||
},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"text/plain": [
|
||
"(0.84248607137528864, 0.1463183930540225)"
|
||
]
|
||
},
|
||
"execution_count": 23,
|
||
"metadata": {},
|
||
"output_type": "execute_result"
|
||
}
|
||
],
|
||
"source": [
|
||
"S[0,0]**2/(S**2).sum(), S[1,1]**2/(S**2).sum()"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 24,
|
||
"metadata": {
|
||
"collapsed": false
|
||
},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"text/plain": [
|
||
"2.8240367131730801"
|
||
]
|
||
},
|
||
"execution_count": 24,
|
||
"metadata": {},
|
||
"output_type": "execute_result"
|
||
}
|
||
],
|
||
"source": [
|
||
"np.sqrt((T[:, 1]**2).sum())"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {},
|
||
"source": [
|
||
"# Manifold learning\n",
|
||
"Swiss roll:"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 25,
|
||
"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": 26,
|
||
"metadata": {
|
||
"collapsed": false
|
||
},
|
||
"outputs": [
|
||
{
|
||
"name": "stdout",
|
||
"output_type": "stream",
|
||
"text": [
|
||
"Saving figure swiss_roll_plot\n"
|
||
]
|
||
},
|
||
{
|
||
"data": {
|
||
"image/png": 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WrRvo0aMfISEh5ObmotPp8PLyqtD0H/8kjnhv3M8gCUfmsRaoG6s02Aqr2lx2zs7Odjfg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\nEUIIEaX/A+YDnXoATpHjAAAAAElFTkSuQmCC\n",
|
||
"text/plain": [
|
||
"<matplotlib.figure.Figure at 0x116755dd8>"
|
||
]
|
||
},
|
||
"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": 27,
|
||
"metadata": {
|
||
"collapsed": false
|
||
},
|
||
"outputs": [
|
||
{
|
||
"name": "stdout",
|
||
"output_type": "stream",
|
||
"text": [
|
||
"Saving figure squished_swiss_roll_plot\n"
|
||
]
|
||
},
|
||
{
|
||
"data": {
|
||
"image/png": 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PzZJ3UFAQEtINmLRBhjNXgT5LgPR0oIrRhDAp8Hl6Kn7+8UfcvHkTI0YOx7EPk/HJ+6k4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\nqB/VcglVMtBeI2f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p0k8wZdxoDBk5BoMGDcLEsaPw6dKPEWgvwa8PpajbtBXin2Yg5j5Q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RlCth4LWhQus6OgIDvBje1Tlbj/3wiRASZCvwPpcuXWLVqlVs3ryZ4cMG0raVjpTbwv3rQp2a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yBC4hVFbuj1ctVkktZt20qhQoWy1HZ8/H2x263J/+3paRNHYqKsX79e7t27J7Nm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\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l9j3H5/0nRVRuanF3d3/u9meF06dPS4d2zWXpO9flwXakZcVfpXHDGhIZGSmTJk0Sfy8v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\nJEnymAwgJEmSJEmSJEny2P8DasQyBLBaGPUAAAAASUVORK5CYII=\n",
|
||
"text/plain": [
|
||
"<matplotlib.figure.Figure at 0x11724e390>"
|
||
]
|
||
},
|
||
"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": 28,
|
||
"metadata": {
|
||
"collapsed": false
|
||
},
|
||
"outputs": [
|
||
{
|
||
"name": "stdout",
|
||
"output_type": "stream",
|
||
"text": [
|
||
"Saving figure manifold_decision_boundary_plot1\n"
|
||
]
|
||
},
|
||
{
|
||
"data": {
|
||
"image/png": 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qKiI0NFQIVEPgZhSg8uOtrFA2MDDQzQItqB8uXNiD1arWGp05cwKbTa2fsliC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jTAt/NEbUCSJObNew2Arl17YLEkMmCAyKpViSQnL2fNmgWMH1/I558vYtSoB3jqqdkkJQWwd+8g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\n7O3ABgAAAABJRU5ErkJggg==\n",
|
||
"text/plain": [
|
||
"<matplotlib.figure.Figure at 0x1165fb0b8>"
|
||
]
|
||
},
|
||
"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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Jk/8Dt3sK2dmNlJf3IDPzA50WbGz3yJEztLWdoKEBBg++jp07K5g9u56nnoL0dLjkEjh2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\nE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TmxxuPAE1LKrQBSysPxbU7McTnweynlWeCoEOKfwGVxblNEkFL+A0AIMRq4QPPV7cD/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\njgF24MCBgzjBMcAOHDhwECf8P8sUGld8BHVOAAAAAElFTkSuQmCC\n",
|
||
"text/plain": [
|
||
"<matplotlib.figure.Figure at 0x115c1ef60>"
|
||
]
|
||
},
|
||
"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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7xI1H9gQ/kRdc412VVleIXKpeWfVnBTYU0fp9b46TUyFQ1dAcPxTRRKQHC7tiVyPTAikP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OsgSRIRERF+Cec1a97lwQc9Xs/cL36kaIxg5OknVdXQASg5okGlfmLau3c7Z870paBAvKfmoiwW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\nAElFTkSuQmCC\n",
|
||
"text/plain": [
|
||
"<matplotlib.figure.Figure at 0x11728a828>"
|
||
]
|
||
},
|
||
"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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tWkBu7gmuXbvCoEFXkCQRY7htWz7331/J4METadjwNgdbXG2Nt7j4PJ067WX3bjHH0dFi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aV0taMnUpsuUej2BvjzzxVRzJUrBZDHuefO5YYbfkPv3o3k5/eMmSFtQfUCGnwN0Nf0w7fKP637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\nePCQJngG2IMHDx7SBM8Ae/DgwUOa8P8BQ/SjMgtU3vMAAAAASUVORK5CYII=\n",
|
||
"text/plain": [
|
||
"<matplotlib.figure.Figure at 0x115c19cf8>"
|
||
]
|
||
},
|
||
"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": 29,
|
||
"metadata": {
|
||
"collapsed": false
|
||
},
|
||
"outputs": [
|
||
{
|
||
"name": "stdout",
|
||
"output_type": "stream",
|
||
"text": [
|
||
"Saving figure pca_best_projection\n"
|
||
]
|
||
},
|
||
{
|
||
"data": {
|
||
"image/png": 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3O5vIyGiczg3ExppxuwtITIxuOLelthIT43E4VjNu3FkMGVKF272fqCgjZrMDozELIY5i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\n",
|
||
"text/plain": [
|
||
"<matplotlib.figure.Figure at 0x11519c470>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"angle = np.pi / 5\n",
|
||
"stretch = 5\n",
|
||
"m = 200\n",
|
||
"\n",
|
||
"rnd.seed(3)\n",
|
||
"X = rnd.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": 30,
|
||
"metadata": {
|
||
"collapsed": true
|
||
},
|
||
"outputs": [],
|
||
"source": [
|
||
"from sklearn.model_selection import train_test_split\n",
|
||
"from sklearn.datasets import fetch_mldata\n",
|
||
"\n",
|
||
"mnist = fetch_mldata('MNIST original')\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": 31,
|
||
"metadata": {
|
||
"collapsed": false
|
||
},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"text/plain": [
|
||
"154"
|
||
]
|
||
},
|
||
"execution_count": 31,
|
||
"metadata": {},
|
||
"output_type": "execute_result"
|
||
}
|
||
],
|
||
"source": [
|
||
"X = X_train\n",
|
||
"\n",
|
||
"pca = PCA()\n",
|
||
"pca.fit(X)\n",
|
||
"d = np.argmax(np.cumsum(pca.explained_variance_ratio_) >= 0.95) + 1\n",
|
||
"d"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 32,
|
||
"metadata": {
|
||
"collapsed": false
|
||
},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"text/plain": [
|
||
"154"
|
||
]
|
||
},
|
||
"execution_count": 32,
|
||
"metadata": {},
|
||
"output_type": "execute_result"
|
||
}
|
||
],
|
||
"source": [
|
||
"pca = PCA(n_components=0.95)\n",
|
||
"X_reduced = pca.fit_transform(X)\n",
|
||
"pca.n_components_"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 33,
|
||
"metadata": {
|
||
"collapsed": false
|
||
},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"text/plain": [
|
||
"0.95036230847692105"
|
||
]
|
||
},
|
||
"execution_count": 33,
|
||
"metadata": {},
|
||
"output_type": "execute_result"
|
||
}
|
||
],
|
||
"source": [
|
||
"np.sum(pca.explained_variance_ratio_)"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 34,
|
||
"metadata": {
|
||
"collapsed": false
|
||
},
|
||
"outputs": [],
|
||
"source": [
|
||
"X_mnist = X_train\n",
|
||
"\n",
|
||
"pca = PCA(n_components = 154)\n",
|
||
"X_mnist_reduced = pca.fit_transform(X_mnist)\n",
|
||
"X_mnist_recovered = pca.inverse_transform(X_mnist_reduced)"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 35,
|
||
"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": 37,
|
||
"metadata": {
|
||
"collapsed": false
|
||
},
|
||
"outputs": [
|
||
{
|
||
"name": "stdout",
|
||
"output_type": "stream",
|
||
"text": [
|
||
"Saving figure mnist_compression_plot\n"
|
||
]
|
||
},
|
||
{
|
||
"data": {
|
||
"image/png": 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F05Nw43K5AADxeBwzMzNYWlpCIpGARqPhmQkA4HQ6AdzV4tcKspM/Vzqdjhex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B3NwcGhsb8dZbb+G1117D8ePHd2lXnl6IdWWKqt1uN9bW1uB0OqHX61FXV8cTsOiwF6NqSvvS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\nY9AAAAAASUVORK5CYII=\n",
|
||
"text/plain": [
|
||
"<matplotlib.figure.Figure at 0x1172b3a58>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"plt.figure(figsize=(7, 4))\n",
|
||
"plt.subplot(121)\n",
|
||
"plot_digits(X_mnist[::2100])\n",
|
||
"plt.title(\"Original\", fontsize=16)\n",
|
||
"plt.subplot(122)\n",
|
||
"plot_digits(X_mnist_recovered[::2100])\n",
|
||
"plt.title(\"Compressed\", fontsize=16)\n",
|
||
"\n",
|
||
"save_fig(\"mnist_compression_plot\")"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 37,
|
||
"metadata": {
|
||
"collapsed": false
|
||
},
|
||
"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_mnist, n_batches):\n",
|
||
" print(\".\", end=\"\")\n",
|
||
" inc_pca.partial_fit(X_batch)\n",
|
||
"\n",
|
||
"X_mnist_reduced_inc = inc_pca.transform(X_mnist)"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 38,
|
||
"metadata": {
|
||
"collapsed": true
|
||
},
|
||
"outputs": [],
|
||
"source": [
|
||
"X_mnist_recovered_inc = inc_pca.inverse_transform(X_mnist_reduced_inc)"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 39,
|
||
"metadata": {
|
||
"collapsed": false
|
||
},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"image/png": 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KSm8ALfQ1b7zbOSDt5oxy3/F4HMFgkD3bZODIKFHuFQAymQwbE6nQATAFPT+n9XqdOQTV\nahUajQZKpRJqtbrlGgixE2XNzymdA+8E86wH3QPksCiVSuYQ1Ot1lMtllEolZkgjkQikUikMBgM7\nNz7FIhxPrVZjbEM6nUYqlUImk0Eul2ORPqU1KdImNb9YLEaxWGSpCBp7oVBALpdDo9FgaTBaP2Kx\nGEKhEJLJJHp6eqDT6VqEl10Dju2HgPfYHzcF6fV6GZ1ss9ng8XgeyG03m03kcjl8+eWX2NjYgMvl\naqm5PGiQmGZxcRGXL19GJpN54AFTKBQYGBhAPp9HLBZDqVQCsJ2iICNXqVSQz+d3dDaKxSK8Xi9+\n+9vfYmho6NANuJCyJsqZ1LilUgnlchmVSgVzc3O4desWkskkCoUCbDYbJiYmOjbgqVQKf/7zn3Hl\nyhWsrKwgmUwimUwil8vt+LlLly6xxViYHpFIJNBoNA9E8hT1Pa8Q5qTJCPGd1ngRGBk4mh+pVAqF\nQtHSqImP8tqJpIQlSsLx8P+mBZeMLX0vib5SqRRqtRpTa5MBbzab7N/ZbBbhcBiJRIKp1JVKJcuD\nKxQKqNXqlvpl3gmhc2oHoVNSr9eRy+UQiUSY7ocaWtFxpVIpTCYT5HI5KpUKkskkKpUKWycpP57P\n51m0SxGsWCxmKYtyuQy73Q673f5A2mKveRWKDAntBIdyuRxyuZzllGu1GotWyRiSA53L5ZBKpRCP\nxxEOh6HX6+F0OlnagBc5CgWKvCiRHHxyggqFAkuJ0PUnZ52cMRobzSHvoBmNRvb/UqnE1iNKp/Fp\ng53mTYjvhAGXy+UYGBiA2+2G1Wp97OrvUCiElZUV6HQ6TE5O4tixYy1eLnDf+6tUKmwhP0wDTrqA\nO3fu4Pr16y1RI8FoNOJnP/sZotEorly5guXlZdRqNdjtdvzwhz+ESCTCxsYGvvrqK0bJ7fZduxm2\ng0K1WkUsFsPKygpSqRROnz4NlUqFZDKJK1euYH5+Hj6fD/l8HhsbGwgEAqjX63C73Th37lzHrAed\n0zvvvIP5+XnmMFDktBtEIhEUCgX6+voYlQZsV08oFApEo1FEIhGkUikA24Ijyo89D/nvdhBG4mRo\nyGAQxcq/j0q2jEYjS0VQ/pY32I9SisXnlIWpMHIKC4UC1Go17HY7+vv7oVarGf0qFouRz+eZ0K5a\nrcJoNLKaa7lczgSL9Xod2WyW5Zflcjkzmntdd168Vq1WGesTCoVQKBRaUhJ0P42Pj0MqlSKdTrPc\nt9FoRF9fH0QiEbLZLPx+P+LxOGMEaV2iSDOdTiObzaJWq7Fx7jVWXmwH3I+8aQw8nc7XVKfTaYRC\nIWQyGTQaDfT09DAh4ebmJiKRCBKJBMrlMlKpFJLJJLLZLNxuN9RqNUqlEhMX7mQDyIiXy2Xkcjkk\nEomWeaQcPHDf2VSpVGw9VygU0Gg0zDkiw04iXqqYIFaBmAu+JI+vDtiLcftOGHCJRAKDwdDykD8O\n0E1JlMrY2BhGRkbaOhHk7YbDYeTz+QfKT/ZCrVZjwiei7XZDpVLB5uYmtra22hpfhUIBq9WK8fFx\nnDhxAsePH0coFEK9XofRaMTMzAwz4FqtFteuXYPP59txHnha8CBBNHMymcTi4iIWFhYQCASwtbWF\nRqOBYDCIYrEIn8/HSuDi8TijP/P5PADAZDLta3xkhJ1OJ1Pfl0qllgWfr/10uVxwuVzsIdVoNBgb\nG2u5VlKpFKlUCu+++25LGZ/D4cDExATLrT7rENK+9FsoUmsnchLmScmIKxSKlqYtQkqeFkXh9+8E\nPkJrdyyRaLt6oFAooFwuw2KxoLe3FyaTiRl6nnImwRdf8kQObTKZZH9PJpMol8sQiUQwGAzs3Pic\nMD9Gfr5oTSEDnkgkWowzBQh6vR49PT3weDzQaDQol8twuVyQy+UwmUywWCyo1WqMLfD5fAiHw6wE\nSiqVQqVSsQicyuKEDpZwPvl/8+Pl1znSNwBgdHY6nUY0GkUoFEIgEGDOTU9PD5rNJtLpNHw+H5LJ\nJHsGs9ksSwtYLJaW+2e3NZWuAzERarWadfjjryndYwqFgjmQ5FSq1WpYLBYWqVM5WzabxcLCArsm\nCoUCZrMZDoeD9c3g7/lO8J0w4ABaqKnHlUckqqRYLEIkEmFychJut7ttO1cy9JFIhDV/iMfjUCgU\njNbZLYqg9/f398Pj8ew5tnK5zFSR7aDValnd59GjR2EwGFr6S9M5xONxZoQSicSudPpBRo8UAVEe\n6c6dO/jwww/x8ccfIxgMolarQafTwefzIRQKYXV1tYWiolIQgkqlYnmyTiCRSGA2m/Haa6/Bbrdj\nY2MD6XSa1X7Se6RSKZRKJY4fP45jx46xPGQ7A57L5TA/P4+LFy+2zKHb7caJEyda8mPPG4TqZFoo\nyfFr19iCz49TpE33p9AhEDZ06TQHLqRYyWkQiURIpVLMOe/r64PNZoNGo2HdCYX1wzQeMo6URyem\nBQDS6TREIhHLT/Pdu4RGkM6dzo9ob1I+U2kdvZdEVTKZDBaLhZUvSaVSFAoFKJVKls8mp5i+n2hq\nmjuVSsWiXxKy7RSBtzPqfJTNzxOdMwU00WgU6+vrWFlZwfr6OiKRCHt+9Ho9mz8KLkjdnclkkE6n\nmWOnUqlY6dxOdfY0jxQEGY1GlMtlSCQS2O32Fp0F3QsGgwEWi4XR4wqFAlqtFiaTiX2PTCZDKpXC\n+vo6YzFrtRo0Gg16enrgcrlgNptZEyJhumc3fCcMeKlUwuLiIu7du4dgMAi32/1YFkISe1DXI6Lw\n9wLRs++//z4kEgkikQgWFxdbaO52YhyJRIK///u/78iA5/N5fP3111hfX2/7usViwcjICAYHB2E2\nm1siGP7GNxqNeOWVV5DP55HL5Xal0w/ScarX68hkMpifn8fly5fxu9/9Duvr68hms0xAUqlUcO3a\ntZY+xPSAGQwGZDIZxONxNBoNHDlyBD/60Y92rM0XQiQSwWw246c//SleeeUVlnejfCZwP0IkZTLl\n4AAw+owHRRI+n69lUXe73Th58mRHzMqzCOF9xUe9ZHRIeETGkAwVtQhNp9PI5/MwmUwssuNrxzvJ\nJQvHJCwpokWb6G4qmaxUKrDZbKzColKpsPuMVPKlUomNtVKpYH5+nlHRzWaTUahE84pEopa+6buB\np6RrtRoTb5ECW6lUMqdGLN7uaa7T6WAymeBwOKBWq1kJHgDGaiiVSnbexWIRgUCgpZRL2HxkL/pc\nWKpFuWG+njufz7Pyt62tLfj9fiwtLSEQCCAej7PvJoU9r4WgTnIKhQKhUAiNxvZGN2azmbEZlP9u\ndw+QU0HCOGDbsXc4HMywEztAini9Xg+9Xg+VSoVarcaqE4g+p/mmeSL9DbAdJPX09MDhcDDnXFgW\ntxe+EwaclIBEdz2uCLxQKODGjRuIRqOwWCwYHx9vqUHnW5h6vV5cuXKFGUK/348rV67AYDBAKpXC\nYrHAZrMxWoZf9EwmE8xmM5RKJcbHx/ccVyaTwebm5gOGAth+eB0OB44cOcIi793K2Ghsbrcb/f39\nuHbt2sNM1Z7g0xHUmOLOnTtYWlrC8vIy5ufnGR1OINpKqVSir68PU1NT8Hg8cDgckEql+PTTT/HZ\nZ59BKpWiv78fY2NjHTfOIbqsp6cHZrOZsSQ8NUgLa6fCyY2NjZZGOlQHPjExgaGhocfS1OdJgV+w\nKJqjuQNaVepkPMjI0bNNzBWfQ6Rj84ZwpwW83ZiA+8p3qt8FtsWZm5ubyGazUKlULIriG7Pk83ls\nbW3B5/PB6/UiHo+jVCpBJpMhmUwy0RP1R+Br1dtRqe0iRuF4i8Ui4vE4IpEI8vl8y/1HBsfpdKK3\nt5flbYkd4OvRKf9OlLper2eMCM8u0PzsJWAj8GWXVJZG9dSZTAapVIrlnbe2tthPNptl30vMBZVd\nUcTb398Pm83GHJdqtQqLxcLaw1I0vts46d6i95DTTPNBzzbdT2TUKS1C161QKDBWpFQqYWtrC5ub\nmy1d8PR6PcxmM4u+gfsVCLyA8TsvYgPQsjvM4wDVYV6+fBmxWAxutxtDQ0NQq9XIZDJMNRmLxbC6\nuoq5uTlcv34dmUyGPRxEswwMDMDj8cBoNLZdxPv7+1nXtk4o4GQyCa/Xi2g0+kBXNaVSiYmJCZw6\ndaqt2E4IykF3Ei3sl0Knh51yjalUCn6/Hzdu3MDXX3+NL7/8ErFY7IHcNd+TmrzckZER/OhHP8LR\no0dhtVqZA3Pjxg04HA643W5YLJaHyjETFfiwBpZSAffu3cO3337LmBaVSoWpqSmMjo7CarU+8/Q5\nf/2FiyhPVfMRHl+HzBtwWoyB+/cJbxyEx6RFcaccbTvw+Xe+dInYn83NTZRKJRiNRthsNiiVSlaC\nRB0LqXTM5/MhnU5DJpOxDUHoXEwmE6PMK5VKy25bNNa9xktOSi6XYyLIYrHY4hCQZsPj8cDtdkMu\nl7OIjzfCROHy+WKhgyUUCgqdpN3GWKlUGO0ulUqZYIy6vAWDQWxtbSGRSCCbzaJcLrO0Ha9/MJlM\nsNlscDgccDqd6Ovrg0ajwb179xjr6XQ6YbfbodfrmSi43Tj5+SUbwTuR/LMtTMfwokveOSFnLp1O\nY21tDWtra8w5p9y52Wxm0bewF3ona9FzbcDpxpJKpejp6WGe2ONYCCkn/e2336JcLmNqagpisRjB\nYBBra2u4desWFhYWsLy8jEgkwsqbisUizp8/j5/+9Kc4d+4cLBYLE1TwLQV5kBfYqYEkQ0gRAQ+l\nUonR0VGcOHECMzMzexpwaj7z6aef4k9/+hMymcyO790v80FiHK/Xy9TyX3/9NRP65XK5BzoqSSQS\naLVauN1uTE1N4fz585iYmGARUrFYxOrqKv7nf/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 0x10ec02128>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"plt.figure(figsize=(7, 4))\n",
|
||
"plt.subplot(121)\n",
|
||
"plot_digits(X_mnist[::2100])\n",
|
||
"plt.subplot(122)\n",
|
||
"plot_digits(X_mnist_recovered_inc[::2100])\n",
|
||
"plt.tight_layout()"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 40,
|
||
"metadata": {
|
||
"collapsed": false
|
||
},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"text/plain": [
|
||
"True"
|
||
]
|
||
},
|
||
"execution_count": 40,
|
||
"metadata": {},
|
||
"output_type": "execute_result"
|
||
}
|
||
],
|
||
"source": [
|
||
"np.allclose(pca.mean_, inc_pca.mean_)"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 41,
|
||
"metadata": {
|
||
"collapsed": false
|
||
},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"text/plain": [
|
||
"False"
|
||
]
|
||
},
|
||
"execution_count": 41,
|
||
"metadata": {},
|
||
"output_type": "execute_result"
|
||
}
|
||
],
|
||
"source": [
|
||
"np.allclose(X_mnist_reduced, X_mnist_reduced_inc)"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 42,
|
||
"metadata": {
|
||
"collapsed": false
|
||
},
|
||
"outputs": [],
|
||
"source": [
|
||
"filename = \"my_mnist.data\"\n",
|
||
"\n",
|
||
"X_mm = np.memmap(filename, dtype='float32', mode='write', shape=X_mnist.shape)\n",
|
||
"X_mm[:] = X_mnist\n",
|
||
"del X_mm"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 43,
|
||
"metadata": {
|
||
"collapsed": false
|
||
},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"text/plain": [
|
||
"IncrementalPCA(batch_size=525, copy=True, n_components=154, whiten=False)"
|
||
]
|
||
},
|
||
"execution_count": 43,
|
||
"metadata": {},
|
||
"output_type": "execute_result"
|
||
}
|
||
],
|
||
"source": [
|
||
"X_mm = np.memmap(filename, dtype='float32', mode='readonly', shape=X_mnist.shape)\n",
|
||
"\n",
|
||
"batch_size = len(X_mnist) // n_batches\n",
|
||
"inc_pca = IncrementalPCA(n_components=154, batch_size=batch_size)\n",
|
||
"inc_pca.fit(X_mm)"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 44,
|
||
"metadata": {
|
||
"collapsed": false
|
||
},
|
||
"outputs": [],
|
||
"source": [
|
||
"from sklearn.decomposition import RandomizedPCA\n",
|
||
"\n",
|
||
"rnd_pca = RandomizedPCA(n_components=154, random_state=42)\n",
|
||
"X_reduced = rnd_pca.fit_transform(X_mnist)"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 45,
|
||
"metadata": {
|
||
"collapsed": false
|
||
},
|
||
"outputs": [
|
||
{
|
||
"name": "stdout",
|
||
"output_type": "stream",
|
||
"text": [
|
||
"n_components = 2\n",
|
||
"PCA 62.69354581832886 seconds\n",
|
||
"IncrementalPCA 162.2813799381256 seconds\n",
|
||
"RandomizedPCA 35.33038401603699 seconds\n",
|
||
"n_components = 10\n",
|
||
"PCA 66.76582098007202 seconds\n",
|
||
"IncrementalPCA 152.7020070552826 seconds\n",
|
||
"RandomizedPCA 38.48074817657471 seconds\n",
|
||
"n_components = 154\n",
|
||
"PCA 60.10399889945984 seconds\n",
|
||
"IncrementalPCA 136.18071699142456 seconds\n",
|
||
"RandomizedPCA 31.670741081237793 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=154, batch_size=500)\n",
|
||
" rnd_pca = RandomizedPCA(n_components=154, random_state=42)\n",
|
||
"\n",
|
||
" for pca in (regular_pca, inc_pca, rnd_pca):\n",
|
||
" t1 = time.time()\n",
|
||
" pca.fit(X_mnist)\n",
|
||
" t2 = time.time()\n",
|
||
" print(pca.__class__.__name__, t2 - t1, \"seconds\")"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {},
|
||
"source": [
|
||
"# Kernel PCA"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 46,
|
||
"metadata": {
|
||
"collapsed": false
|
||
},
|
||
"outputs": [
|
||
{
|
||
"name": "stdout",
|
||
"output_type": "stream",
|
||
"text": [
|
||
"Saving figure kernel_pca_plot\n"
|
||
]
|
||
},
|
||
{
|
||
"data": {
|
||
"image/png": 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jPAvf4Uz2XV9QGYWVXajwopWfizFmoLetr3Sssr0UmyfSOxKR420cgDO3Iq+3cShw2XGe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\nnAzapXu5vJKLmICXV1999cxesLOA8wTiNE8c/gz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daLFw4403/qX+FxQUMPH666malUXz\nevV47733TrjtgieeIMbrpYPHQ6rbTY3cXHLLliUtMZGrR41i5LBhxEREkBgVxaQJE4gPhehuszFU\nIsbj4fnnn8dutfKexH9Nu9Dr5b777is+RrfWrbnTJA+bZdTACMqooXG5ef0HSERYLIyToU4VcLmI\ncLko4/cT7fOdFZWe82PAiXHFFSO4+OJejBx5GXfeeSuwD9jHxo3riIqKJDMznfT0dJYtW0Zubi6v\nv74CKOCnn77H6/X+qdJhSeCPvxtHKjXv37+fWrm5BGTkMzUxCUNpc0yKlpjgMLynKRaRaBWtI9zE\n+Ly89NJL7Nq1i/vvv5/Zs2ezZcuWkx7zn+Kjjz7ios7tad+sIQ/Ou784quDrr7+mVEyIcj4RsBsF\n4i5MFlFOcWGKqBRloVJmWQYPHEhqchIN4w0CcUNVwVDDNnQTAYdw2kS/DDEkWzRNNMhH0CnKRYiy\nEeLS8iLFJ3JCv3331bbC7bSfket4BP/WecBZf+BLwv5/IBBFRUVMnXobmZmpNGpUi+XLlx+zzZdf\nfkmjRrXweOxUrBjNxo192LZtIImJIT766CP2799PxYpZ9O+fQ+/eaSQleXnssfpcf30uUVFO7rmn\nBsnJccfs90T9fOyxx+jevQzQEmjJ4cMtcDgsZGVFsXr16qO2vfjii/D7bcTE2Bk/Ponx4xPxeq28\n/PLLx933mTi3RUVFtGxZny5dPDw2X9Su7cDnszLuWjH/EbFooaHI9OzjIiZaDLxYtGhqkAyHQ6Sn\niq1vCb4UW1aKCJ+IDIiHbxX3ThQBv+0otY6z1c8/4vzk4eTYunUrgwYNItXp5FIZKkJDJSwWC21b\ntiTF76eq221MiB98sPh7U6ZMwWZOshubK/sWieeff5433ngDv8dDaYkUiQif729Jf/7vf/8jFAiQ\n4HZTyucjIS6uWOWpsLCQ1157jfhAgAomgagrIzSh1QUXHBX299xzz1ExO5v01FRuutFQM7l67Fh8\nNhulzJV4uwyJWptJlgabVkoi2ulk5IgRLFu2jK1bt3L48GGmT5/OJf37M3v27GJVtd/f31Wysxlh\nkocnJXJ8Pp544om/1P/RI0ZQ2etlqoywo0ifj88+++yY7cLhMCGvl3kyCsdNkyjv9/Piiy+ecN9b\nt25l/LhxjBoxgjVr1hAOh4n0+XjaJA/rJLKtVipnZ7NmzRoArhwxgqoSH0tsNM9bLYmvTbtNhrLW\n/RJzZIR6JcqYwC2WITcb4/f/adXuksb5MeDE+PXXX2nRojl+v5/mzZuwZMlCmjRpSGZmOvHxcdx8\n803MmDGD6OhooqIiSUxMYPbsGYTD+YRCoT8VQCgJHHmu8vPzGTVqFB67Hbf5rLplqJnlWcQGi0Fi\n33CJnzyin80gFEGJkMPOlClTWLRo0SlVYD+Tv1V79uyhWsUcUoMOakcbVakfrifoJ55qIHwuByGn\nEXrktRkhTZeXVzEJWN1exHmE1y6uqSJm1Te2vb+RWNFeRLnE3ksEw8SP/YXbJm6uKdZ2Fs1THHRs\n3eKM9RX+vfOAs/7Al4T9/xDCdNttN1OjRmnWrLmYp5/uTGSkn6eeeqp4UnDo0CHS00tz110N2b79\nEu67rykpKX727buUrl0r8PTTT/PUU09xwQXlCIcHA0OYObMuoZCThAQvjRsnExMT4JVXXjnlNn33\n3XfExQV57LFcNm2qT58+iSQkuOnWrf0xXoyCggIaNKhOcrKL6tV9REe7GDToxNVkzxTy8vK4cfIE\nevVqz2WXDaF8eQ8UqtiyskQwIBY8LNhvWP/eYvwYMfFakVlWbFohWjYQoQixaJZgk2GzrhcXNK93\ntrt4DM5PHk6MNWvWEPT5SHe7CZmT5aEyFIwiIyIoLCxk8eLFzJkz5xj3/n333UeESR6OmEMq1kp/\n5513GNCvH4MHDeKjjz465TYtWbKEq666iptvvplyKSlk+P0kud1EB4MsWbKEXbt2MWnSJBx2O1ar\nFbfDQbJJYBLMSavP7ebzzz8/6XGiQyFC5gS4iQxVlp4yalsM+B2BSJaoU7t2cVx/UVERrZo3J9Pj\noZlEmtdLl44dj8lT+vDDD4kLhagcDJLk89GtY8e/XDclJiKCh2TIri6VUZX6jwpr4XCYO26/HauM\n/IYj1afb+nw88MADf+l48x99lFiPh542G7kmOZwgEWVWGa9Qrhx+kxB4zNfbfkcgHpGRW3GvDM/N\nK+b7C8zV4G8lcgKBv3Q/lATOjwEnRzgc5osvvqBSpUoEgwGee+5xVq1aSoUKOdSuXRuHw4HL5SI3\ntzxPPvkwkZEhateuRSAQwXPPPVcibfgzFBUV0aJePSqZ992dEu0kUs3Fg7BFzLSIYTaB17BfPcaY\nlOByMnrYsDPSzr+L/Px8li5dSucO7Wmd6ia/r/ixm/DZRYRDPNnMIAqVokS7FIMUXFVJzKpnkIfO\nqeLyCoJhhq3qKCpFG6+14n57n2GidKSLJnVrUjW7HJcPHsi+ffvOdvdPO84TiBIeNM5l5OZmsG7d\nAH788QoqVYqlXLkg8fF+unRpT35+Phs2bCArKwG4othq1IjjxRfbFXsgHn74YXr3Lg8MAYaQlzcQ\np9POsmXLWLBgwVFF0U4V69ato0qVLCIjXcTE+OjRoxv5+fm88MILZGeXISEhkksu6cOBAwcIh8Ms\nXbqUadOmsWzZspI9QSWAH374gYgIO99+JSgU330joiJFICA+fk/FBOKu28Xgi0Xf7iIUFBF+kVbG\nyIN4fo6KCcQ9E0RinJt+fbudNT3w4+H85OHEyCxXjhbmRHmQRLxEstNJhNvNgP79GdCvH9OnTz9u\njYavvvoKt8NBTZM8VJHweTzk5eX97fbcduutBL1e4iVCNht+GXUHppmTfK/NhsNux+d0kiFDYjRk\nt2M3J7SRMorMRUdE8MEHH5z0WPExMSTICK9qZRKPGub/KTK8EXVk1Kxo3eK3FbqPP/6YGJ+P0RJj\nZeR8BD2e4+Yr7dy5k9dee+0YLfZTRVJUFHN+RyAucLmYMWPGUdvcc/fdpPl8pMvwnKyQuNuc9G/c\nuJG8vDz+97//HVO4EoyFjm+++eaoCcR7771HTCDAZVJxONNgicuGDCHR46GBSao6mpO4FBkF6F6S\nSLfbadawIWVcLmr+jlh8LSOs5GmJkNt9xmtInB8DTg2XXnopd911C7Ab2M3s2VOIiYnmq68+IRz+\nlRtuuIZmzRozc+ZUgsEAfr+fChUqlGgbToR33nmHdLebkeZYE2eS23jzGY2UuE6iiVWEPQKv+K8p\n27pw4cIz0saSwMGDB2l/QVPiAh4iXDYqR4lJ1VTsbfiwi8gOim96iguSREpsiIvSxXVVxcTqKiYJ\nH/cQWSGxc6AR3vR8a5E/VMxrLHwO8eabb57trp5RnCcQp2nQOFWcSbdTjRq5zJ3bipSUANWqxfPq\nq905fHgMLVtmMH36XWzdupXo6Aj27BkKXMGBA5cRGekiIsLDnXdOAY54DCJ58MFGfPhhF7p3z6RH\nj05/euyT9fPDDz8kJiaCJ56ozMqVtalRI57LLhtCXFwEb7xRnW+/bUjXrskMHNj7L/X3bOWXXHJJ\nP4JB0aG9SEgQPbqL0qUj6dzBze5t4rMPRFpZkVJKXD1CrHlZDOxlhDVFBkSpOLFwhnhsigj4RkYV\nNgAAIABJREFUxMTB4o6RFmKifUcVGzqb/Tw/eTgxAj4fvX+32l7FYqF8Tg5+l4soi4XyEqU8Htq1\nbn3cCfC8efNwOhzE+P1E+Hz/iCgXFhbidDjIMklArow45n4mgbhERihCwJw8lDctTUa9h2SbjfIS\nyTYbZVJSipMCd+zYwUU9e1KxQgUu7tOnOOF/+l13EfJ4ilfSnTLCmGS+umR4NMpLdGrXrrid77//\nPimBAGNNAnGVRJzfz8aNG0v0/v7hhx+olJWF11xlvcBmIykm5ph6EU1q1uRmiafM82aVcFutPP/8\n86xdu5aEyEhKR0Tgd7mYM3Nm8fc2bNhA6bg44k2VqBHDhrF8+XIOHjxI+TJleEi/5UJcbLUyauRI\nQi4X/zGvy7sSW2QkYMdLJPj93H7zzRQVFXHt2LH4ZIQxbTaJg1PCY7OREhlJtM9H93btTqqdX5I4\nPwacGkaOHMkNN4zlCIEYMKAXl18+hCN5EXv3fo/L5eK668ZQunQyP/74JQkJ8cUhbqcLK1eupP/F\nF1NKRp5TlMQdMsLjnpY4LLHMXESIkGhtFWPshjcs5HL9rWOezZzPcDjMt99+S//ePWmVLEZX1FHh\nSsk+cW0lUSXRw/XjxhEf9DC9nlFDon+WeKK5qBglqsZaaZgoPDbDk2GRSAuIm+uIds0bFR/z+++/\nZ/ny5Wds4e/fOg846w98Sdj/DwTijjum4vU6GDq0Cvfe24qEBB9Ll3bh3ntbMGTIAACaNKlPRkaI\nceNqUKNGHJUrx9KtW8ej9vPhhx/SokUDcnPTGT58yCmpgJysn+PGXcOECRlAW6AtH33UgKSkSK6+\nuhxHciO+/74RsbHBv9TfszVYhcNhevToRCjkJDvbR+nSMXzwwQf079cdr9eBz2cjLlZkZ4jwz4Jf\nRNEOER1pJFg7HSI2SoQC4p5rBesNG9VLZGelHRNG8m8dOM5FK4lxoGXTplQ2i41dJBF0OvE5HLjM\nVfm25mvQ62XTpk3H3cdzzz3H+vXriyeDRUVF3DltGnWrVaNN8+YnrIr+Rxw6dAi7GTpT0bSgRDcZ\nYTKZEjEyQmEiZHgfysuQmC2XmkqzJk1IjIujWZMmxUnUhw8fJjMjgxiHg0QZuQyVKlYsDkd68skn\nubBjRzp17EhmejqZEg1leFTizX0HPB5ef/314nYePHiQcqVLU99mo59EHYeD8hkZFBQUlNj9XVBQ\nQIX0dDrY7dwq0V0i5PUeNyyrbdOmjNZvEq2DJFo1b044HCY5NpYbZFSVflQi9neStenJyVwvoxr1\nM+Y5zfR6qZSRwZzZs0lwOpkoI6neLfHss89ySd++VPN6SZShLLVF4kuJpl4vc+fOLW7Ttm3bcOu3\nSt9uGSvBbpPo9JMRLheUyE5PP2FuWEnh/Bjw58jPz6dBg/r4fF4mTLiaWbOmEAhEUKVKJQoKdgP7\neOWVxYRCQfx+H6NHjwD2MWBA36Ou/elA186dKScjNO4y814dK5FhkocjVl6iggwvosO04+UMnQrO\nBdGYF154gaQIO7FucX0VcU99I4G6azkjITrS5+K7775jwYIFhNw2mieLweWF32mhU4d2+DxOEr1i\nan0RvkKs7SliPWJmI5EU5SPk95AQEyTgc9M8M0hSpJdxY0ef8X6eCZwnEKdh0DhXcemlg5gypSkw\nDhjH4sVdaNq0NK1aZTJ9+l0ADBrUl0svrciNN9bh6afb8v77F1G1as5J9/tPMXHiDYwaVY4jBOLt\nt+tQpkws3bqlcIRAvP12TdLTS53WdpQ0Nm/ezNq1a49RYigsLCQ62k9qaVH4k+AXceh7I5Tps5Wi\nUS0x9WoRHy0+eELFBOKqviIhWsRG+/n000/PUq8MnO3Jg6RISc9L2i/pa0m9TrBdP0nrZdQ62ypp\nqiTrSfb7j8/NTz/9RK2qVXHa7bgcDlISE8kxV+TbmASijUTsKYQEHcHEG26gjNfLxTLCgEI+3wnJ\nxx/RtHFj4pxOMmWExjjtdpw2GzZz0pBmrsbbLBaiPB4S/H6CEREnTNBeu3YtkRERlDW/Fy3hcjh4\n6qmnjtm2bEoK1fVbPkeaREpi4nFVg7Zt20b7Vq1IL12aLh06lHgi6eeff06Cz8dDEg+blhUI8Pbb\nbx+z7cKFC/HZbPSR6CER7Teeud27d+N1OFhuEojlEk39fp544gn279+Pw2rlSRmJzavMiVcziYZ2\nO0MHDcLvdNLYJC/jJRJCIQ4ePMiDDz5Ip7ZtCTgc9PB6qev3U6dyZQ4ePFjcpokTJ1LaPN+rJX6U\nuFVG1euOMiRf35KxiuyR4dEYN25ciZ7D3+NsjwGny0pyLvDYY4/RuHF9Pv30bUaOHEKHDq0oVSqJ\nSpUqkZGRTqtWLfB6PTgcdlq1ak5h4R527/6O9PQ0Vq5cWWLtOB58DgcfS+w2rebv7psvTfLwvTlG\n3GERwyyijMPB/PnzT2u7zgRmz5xB0OvCaxchl4VJNcSOAWJSDVEt1lC3u+uuu+iZ44LhguFiaTuR\nWTqBeL8dn1082cogEIwU3dNFpFuMrm7l58vE0k4iyi2+Hix2DRepMb4/FUP5N+I8gTgNg8a5ikGD\n+jJnzgVs2jSUl17qzsMPtyMmxkvnzm2L47GnTr2dDh2yKCi4EhjN+PF16dnz2NLtJYlvvvmG+PhI\nJkzI5L77cilTJsS9995D+fJp9OiRwvXXp5GQEGDhwmdOazvOJC4Z1ItSiRbatxSPzBHNGhqJ1u+9\nIHq0E3NvNGpCZKeKF+4Uc64WUQFRKUNc3Eb4fE5ee+21s9b+sz15kPSUaR5J9SXtkZRznO0uNT+3\nyyiQvF7SNSfZb4mdo3379lFQUECjevWoYP4wl5MhZVpOIjkxkUOHDhEOh9m5c2ex6tDxkBQTw3CJ\nG02rb7Odsnzp7t276XLhhcTFxFCxQgXee+899u/fzwsvvIDf5yMuGMTn8XDVmDEsXryYxx9/nG3b\ntp1wfx9++CEBn694RdIrIwTK43bzzDNHP6NDBw8mye2mvozE6kivl8WLF5/aCSxhbNu2jYDLxb0m\neZgnkejzHUPifvzxR+IjI2ljsVBHItZup2+vXoDhCYqOiOAOkzw8I5Ho9fLyyy+zcOFCvBYLsaaH\nICDD49NHRnhIRmoq9QMBNkjFluDxFCfIg0Fy7rvvPp566qmjNOSXLl1KoseDW6KTSR5+lPhBhmqO\nS+LX360at5ARruaVjtp/SeJsjwGny0pyDJg6dSpjxgwDfgZ+ZteuL/D7/Xz33XdER0fToUNbbr11\nEklJiURGRlKnTi3i4+O5+uqxJdaGE8Fts/HF7whEbxm5R2kych+6ysjL8Ut0s1qoHuGnQ7Nm51xB\nw3+K8uWSWd3JCEMaWkHc2UAkRtho27oVN9ZSMYHY0ldEOC1ckivubSayIsXt9cShy0XpCOGwWSga\nJRhtWI8MMaOJ+Gqw6Jbr4/777/9bOVvnMs4TiNMwaPwVnC6309dff83q1av59ddfjzpWKOQlEHDS\nvHkZ/H4nF17Y+aib+tChQ7Rq1ZS0tDiqVEkhJyftuIXkioqK2L59O4cPHz6l9vyxn/v27eOhhx5i\n1qxZbNq0iS+//JIrrriMgQN7Fcsk7t27l5kzZzJ58qSj2Hs4HObWW24hOSGBlMREpk+fftwH88gx\nCwoKWLBgAXfeeSfvvvvuKbX37+JUr+e+ffvIykymfm3Rt4e4Y7K4f6Zo01T85znh94oOzUSZRNGy\nnuh2gbigrrjyIjGwgxh+kYiNiSA/P/9f67r8uybJK+mwpLTfvTdf0m2n8N3Rkl48yeclfq5WrVqF\nw2olTkYegMN8zcnIYPPmzaSXKYPX6cTrcvHoo48Wf+f3SImP57LfEYg6dju33HLLP27b9u3beeON\nN47rzTjRfVVYWEi9OnXw2u14TC9EqozcBpvFcpT8cl5eHt26dMFht+P1eI6peH0qKMn7e2DfvmT5\nfHSXqOj10r5ly2PGjnnz5tHY4ymuNfGghMfpZOXKlRQVFTF0yBA8VisZNhuRLhed27XDZ7cTISPn\n5R2J62VUon5PYq2MmHKv3U6s280qkzwskpHDkF2mDFu3bj1pu/t07swciatNMrLFJBDLTPJgN8nE\nYYlDJllzywihK5+ZWWLn7/c4TyD+HG+//TbJyaX44ov3KSr6ibFjh9OmTWsAvv32W0aPHsWgQQO5\n6aab2LVrF2+99dafKp2VFCrn5FBDhpDAVBmerM0ycqMSZAgs+Mz765prrmHJkiX/mDycCyFMf8QN\n111NWqSDnhmCkYZ9cJHwOazE+Wx82EPsvER0KivSQ5ZigrCxn5EHkRESNStXwOt28tUg47NXOos4\nrxHaFOsRfofwuexUyEg9bYT+3zoPOOsPfEnY/xUCUVRURKtWzXG5bPj9ToJBd7Ek3DfffENkpI+F\nCzsD4/j886EEg75jlESKiopYuXIl48ePZ9y4cbzyyitHEYVPPvmEcuWSiY72Ewj4ePLJP9dh/30/\n9+zZQ25uBh06lOWyy7KJiQkc9zx8+umndGrblvq1anHH1Kns3r2bzu3b4zQVYqrKCAWJ9niKJ15/\nPGZBQQFNGjYk3ucj1ekk4PX+ZRnGv4K/cj0H9O/OvJmC3Ya99bJITbFQs7KV0klGAnVctLDbhNMu\n6lUSkwYLr1tcN0jExXj4/vvv/7UDx981SVUk7f/De2NORgx+t93zJyMap2scqJSTg1WimoxQnjoS\nLpuNssnJtLBYuEZGnH3I62XDhg3HXNOZM2aQ4PVyoUQzq5XoQOCUK0//XZzsvsrLy6NJkyYEf0cg\nkmUkFDpsNsZff/1RK+jhcPhPV9++/vprhl12GRf16HGUjGVJ3t9FRUU88sgjXDl8OPfee+9xvT4P\nPPAAjbzeYgIxT8JrEojJEyaQ7fVyjcSFEgG3G4/VShXT4/CCSSCuNsemtaa9I2G3Wpk0fjzRTidV\nZSSjTpO4wmajZYMGJ233JX36cKPFwl4ZIVFJEo3MyV1TGYmv2RL3yPB4pMgIPakkw0PxT1S8ToTz\nBOLUcP/99+Hz+XA6nTRq1PC4oXlnegy/9ZZbcJn3RkhG3sx4ibtMj4PHasVjt1O+bFnef//9Ejvu\nuUggCgoKaNakEZdXVDGB+H6QiHAKv1MkeA0CUC1WXJgmxlQzwpPsVqP2Q9Bj54033qBz+zbEeMRV\n1Q0J2JapIv8qUThW9M4Ro6uLWc0sVMpOOyv9PB04TyBO88ThTGPKlClUrBjP3r0TKCy8mSFDahAK\neTlw4ABvvvkm1aqV5qGH2rJo0YUcOnQ1OTlJLF26lObNG5CcHEerVk1YvXo18fHRREa6qVo1loyM\nELVqVWbfvn2Ew2HS0lJ45JFmwDA2bOhBbGzgLyVVTZ06hd6904AeQA+ee64eNWvmFn9++PBhNm/e\nTGREBHUsFlpJJHu9ZKWlkeFy0UWipbnC1kqivkRidPRxJR+XLFlCnN9PI3PiVlNGqMW54Epc+Mwz\nZKR52bBGfP2xqF/HTYcOrbn22mtJiHMz92Yx+hKDMLgcoll1kVtO1K5gvBcZ8hxXCvRM4CwTiAaS\nfvjDe4MlrfyT7w0y8yCiTrLNaThbcO+992LX0fUdErxebFYrV0tcY1pVn49HHnmk+HvhcLh48vfE\n449zYbt2DLz44uOqcZ1prFu3Do/bTYJJHjzmSniMjMTxpo0bn3KNhu+++46oUIgEq5VkGV6apISE\ns/KjuGPHDhKjo+luszFGItvr5aorrwQgJSaGuRIvm9bFasUqQ241V0YS6jsykqu9MqRfX5Xo4XDQ\nwiQJQwYPpp3EaxKbJFZKJARPLhDxySefEOPzca3EJIkIpxOnxVg1nmMRY8xzVlWG7OZ2GR6OOHOc\nPJ4X+Z/iPIE4dRQVFR2XxB1RBtq2bdsZ+0164oknCMrI0flaRqiS3zSfjByain7/MYVc/y9j4sSJ\n+OxiYRvxUS/RpozonSmi3L95HL65xPA4BF3i/pYifLVY01sEPQ4WL15M6WgvizqJWxuKrCixsKPg\nGsOWdxfNS4vwGOG0204LoT8bKIkxwKrzOCv48ssv1aVLB9WqVVlXXjlcBw4c0H/+85aGDq2pQMAt\nm82qYcNqy2pF27Zt0969e/XZZz/q9de/1axZ61Wz5qP6+ecDGjHiUrVv79Hbb3dV48YWdevWQSkp\nNl15ZSV98MFF+vzzvipT5qCmTZuiXbt26ZdfdmrAgCxJUsWK0WrUKFkfffTRKbf7l192qEIFT/H/\nFSoE9csvO1VYWKhB/frJ5/UqOytL8QcOKBeUIql+Xp62bNmiCocPyyrpV0khSd9JOiBp586dysnI\n0DPPPKPGDRooFBGh3Oxsvf766/KALOaxPJLy8/N1+PDhErkG/wTde/TQFSNvVbteUarTMqC69Yfo\nueeWasqUKXrw4UWas6CUVr4jdWstlUmQduyRmteTJlwuNakp+X0e2e32s92Ns4H9kgJ/eC8oad+J\nvmCxWDpLulVSa2DXyXY+YMAATZ48WZMnT9bMmTO1evXq4s9Wr179t/6/5JJL5PZ69a2MZI0DkvaF\nw3I6HDry5BRI+raoSDt37pQkPfHEE/K43fL7/apYoYIaNmqkkWPHqt+gQUpPT/9H7SmJ/2vUqKFR\no0frJ0k/yIgpi5bkkBSVn6/169Zp/vz5J/w+oBUrVmj16tWaP3++HPv3yxcOyyUpVdLP27erTevW\nevTRR09rf1auXKlrxoxRyOeT3+PR6JEj9Z/16xXRq5f+U6WKWgwYoDumT5ck5RcVaaN+w4+SwpIs\nMmLjHpTUXdJVkuIkjZXU0W5XXqNGevqFF7R69WpFRkXpJ69XcZLWyoi9K5eaetL25ubm6s21a7Wl\nc2dt6NBBrTt1UjTSBEm5ku6ySuUl1ZDUVMbDECXJKsnlcioxMfEfn6/Vq1drwIABxc/HeZwapk+/\nS6VKJSklJUWXX365vv76axUVFWnfvn264IIWqlWrpipXrqQePborPz//tLdn6u23q5uM+yZC0o2S\nnDJWYJD0gKSIcFgHDx487W05V/DTtm9UI14a9ZbUe4WUHSnlhyUJdV0qfbdPWrlVKgxLTps0tIpk\nsUj1k6WapWx67bXX1DIVdc2Srq8rtU+TntssgWEvbZHSQ9L6nyS/1y232322u3zu4J8ykHPBdJY8\nEH93hW3nzp0kJycwdWonJk5sRfnyiVSrVpmxY6+ibdtMiopuBm5l2rTWhEIe9u3bR7VqFVi8uBur\nVl1MOHwDLVqUpXv37lSrVoYjykwwjuTkANnZkaxZ05UjBeUefrg5F1/cg4KCAoJBPx980A0Yxt69\nl1C2bMxROQpH4vKXL1/O3r17j+nnihUrKF06kk8+acWuXZ3p0CGJsqmJjL3qKsp6vQw1QzxSZKiL\nDJChWuKwWGhguuZLmZ/bZWq0m68WiUSLhcrm/w7TTVvJ9FSk2u3UrFbtb53zU0FJrpjOnDmThjVd\nxEQa4UzVckT4E8Gn4vCHwucRt912G6NHj2bHjh0ldtxTgc6uB8Ir6ZCOzoF4TCcITZLUWtJPkqqf\nwr5Px+kCjHjoyECASL8fr9vNo48+ygsvvEDA4yHD4SBgtZJeujQ//vgjDzzwAH6vlxxzVTnZaqVS\nbu6fH6QEcar38rQ77sDjdmOXKCujuFmkhNfhYPbs2cf9zjPPPIPX9MDkZGczcuRI4q1WKktUlpE/\n4JCIs9vp0aNHCfbqWNx5xx2U93p5VEbV5yyvlzmzZh2z3apVq5gzaxYpXi+jJfparcQGAtSrUYOK\nErfIUEIKejw0b9SIHh06HFfooLCwkK7t2lHG56NGIECpqCg2btx4yu1944036NalC3ESn1oEVsP6\nyAijWmR6NTIlgg7HaVNsO5tjwOm0khwDnnrqSbKy0tmw4Q2+++6/1K5dDZfLSXx8LH379uXii7tT\nWLiNFSueom3bFtx66z/PazoRwuEwE667rlj4IMv0gC2SEcbU3PSgxZoexD179pR4G87FECaAqbff\nTvsMF81TRKUYUTYgKsYYXoTraguPXaT4jboPfofYPFhwjdg3yki4vvvuu8mI9/JWb/FeXzGutgh5\n7eSW8pMdYyfgEjlxTgIeF8+fpirj50OY/o8MGn8Ff/eiL1q0iDZtKjNwYG1q1SrDTTe1JTc3kV69\nupGdXY60tChq1kzG53MyZ47xI56UFMu3345k1aqLgQlMmtSYoUOHkJwcTV7eWGAc+/ZdRSjkIS0t\nxIABORQWDmf//sto0CCFmTOnm8d+lpiYAB07ZpOaGs2oUcOL23XgwAEaNKhJ5cqJNG6cSmpqEl99\n9dUx/ZwzZxZerx2nw0KOx0auxYLTZiNBhnJJgjnIhUzXaqzHQ59evXDZ7aRL9DWtpjnRKC9DHrOB\nfitelSUjxCnbJBFOu50Gdevy448/smvXLt5+++0ST2gqyYf44MGDlCubwoj+YvZkkVNOHP5AXD/E\nUGPyuEXlHBt1qjpISY7500TMksTZnjxIelLSApNMNJC0W8dXYWom6RdJDU5xv3/7nOzatYvBAwdS\np3p1hg4efNwf4Ly8PD777LNiYh0Oh6lZtSql7XaaS9Sx2cgsW5aRI0dSyuulmoy8iaoSVoulxELW\nNmzYwIIFC04a3/xX7uV3332XpIQEQlYrbhkhWj0l4r1e5s2bd9S2GzduxOvxEC2jLkTAaqVs2bL4\nvV5SZKjAeM3wmwgZidkp0dFUKFeOWTNmlHioR4t69Zio38KSrpdo17TpMdsdOR9PLlhAj44dGdyv\nH1988QX5+flcN3Ys9SpVok+3bidVsDqCcDjM+vXrWbly5V+aqH3wwQfEhUJE2O24zfviHYt42mIk\nV4/1GBPAMjIrgEdFnfK+/yrO9hhwuqyk5gIbN24kMzOTYDACi8VCuXJlmDt3CrVqVaVFi0b4fF4u\nv3wA+/dvYdWqxTz55L10796tRI59PDz33HNk+nx8IkOeta1EuvkbmyKxR4aS1ycSbrv9tKgtnasE\n4uDBgzStX4vyCT4qJHhwWMX24SoOQWpbTkxvKpqkGEQi1iO6Z4lkv4gNuMnLy6NcqVgSfCI9Urjt\nYsGCBbz77rt07dyBrHgXI2vbyIz3cPXoK85aP0sa5wlECQ8aZwpLliyhevWyJCQE2L//DmAW+/ff\nQUJCJJs2beKpp55i6tSpR+UmXHRRF4YMqUF+/vVs2TKCsmXjWLZsGX369KBevbLcfHMjatYsQ9++\nPYmJCeDzOfD5HLjdNi68sP1RA8qWLVtYvHjxMROQW265iW7dMigqGgAMZMCATDIykhk2bPBRq2xr\n164trjxbxyQJ6TJiMI8MaJdLDDcnUNUrVSIcDtO2ZUtq/45AtDIJRNvfWYJUXLTriCUFg8V672vW\nrMHv9xevBI8eNeq0Xqt/grlz59KmqYu8z0TZFBEbErVzDXnXxDjRsoGIDolubaxcPmzQGWvX2Z48\n6Og6EN9I6mm+nyIjwi3Z/H+lpHzzvX3m68sn2e/fOh8FBQVUyc0ly9T5z3S5qJKbe1Qi8fHw7bff\nEvJ4uFZinIz49dSICG677Tai/X6qmPd/lkQwIuJvte2PmDVrFj6vl7iICCK8Xq699toTbnv48GGe\neeYZ5s6d+6d1J3bs2EHlSpWoJfGAaddLpMTFHbXdww8/TLTPR4L5rMZL2KxW3njjDTLKlcNuseCX\nkdhpM1fVr5GR5Fna62XuvfeWyHk4gl4XXshAq7WYQPS1Wul/0UUleow/wz1z5lAmNpaQ202N7Gzu\nvvvuY/JHCgoKSImJ4R6JbTLUc44sslT8f+xdd3hURfd+t7e7LbubHhLSSUIILYQEpENC7wLSi8An\nCEhROgii9CIIiCCIoD/kAymKIAIi0kWaSFOqdAg9fd/fH3MJoChtI/rp+zzz7N69szNz27lz5pz3\nHCW4zgrSBX5lBYsqwNsKcf4exA3zBJ61DCio4om5wI4dO+h0OtinT2f27NmRLpeDU6a8Ti8vG+Pi\nolmoUACHD3+FdetWY8mS8bx16ye2bt2Ur732+8/i02DlypVMKlWK/XA3BPB2CEvhAPm9eV0u6QC1\nqv8dP/1HRU5ODjdt2sQ1a9bQqNPwYjfkKxB1w8EQK1g5CAy1gjEOsHwg+FZFMCzQh0MGDWTVwmBO\nf9A9AOxXFgwLcPLw4cP0sRm4oSU4ogI4qiJoNWnZtVM7loqLYFrlcty9e/ezPvQnxr8KhAeFxp+J\n27dvMzIylGFhTpKT80vRoiG/mwAqPT2dNWtWpUajpsmkZ//+r/LWrVvMzc3l+++/z9de68f58+ez\nX7/e7Ny5BG/f7skTJ17k66+XY8OGtR5pXB07tub06WVJtuOiRRXp52fg9OllOXJkCTqd1vxJyIED\nB+hlNLItBPmyE8CXAXaQLQiVAHaTS2OAMeHhJEWEFLtazYbyCqefQkElhHtSTdwlVyshSI2RspBU\nAYwIDeX69eup12jyY6erAEp6/V+WMHbr1i3GFw1n8VjQbgENOjDIB6yWArZuINyYvL1AiwQ2bpT6\np43r38nD/di1axddksSm8n3ZVL4PtRoN58yZ87v/O336NM16Pfveo0DYlUpOnTqVtWvWpEOSGCBJ\nlIzG+yITPSmuXLlCvU7HAIjISUEATQbDA4MgZGZmslTJkrRJEr0MBpqMRq5ateoP2x8xYgRTVap8\nBeJNgK5fEYRXrVpFqyTRR1YgHABNRmO+ZWHmzJnUaTR0yM9uBwhS8lyAvQCWL1Xqqc/DvTh06BC9\nrVZW1+tZTa+nj83Gn376yaN9/BEWLVrEEIOBcRAuUJMAFtdo2KVdu/vqrV27llaFgqdlBeI0wAT5\nPhtsAOkSZZ5ZnNftsmy9kyXb0/hXBvw+GjSox+nTR5E8RfIU33zzNbZv/zyjo8NoMBh46NDXJE/R\n7T7J5OSSDAjwZVJSmfvCrnsKE8aOZSGDgdUBlpHvm7MAJ8rP3mfyfbIA4EGIaHDBDofZhjIjAAAg\nAElEQVTHx/F3wbVr1xhdOJClfMHPGoEjyoE+RqFEOAzgoBSwfiToJ4ExfgaOeWsUq1VI5sw0kANF\n2dZWkK3XrVvHcG8DXUahVDSLFZGdqoRrubkdOKMW6O1lLvCIegWFf4QCAWADgIx7ViF/fEAdj5zQ\nx8XTmJ3Onj1LHx8vjh5dlydODOXYsfUZHh5yX/bSB6FXr560WEyMiPCjj4/jN5lYW7duxtmzU0n2\nJdmX33zTnElJCb9pZ9u2baxYMYlxceHs2fMlZmRkcPr0aUxODuT16y1ZpoyLq1ZVI9mO69encvDg\nBPbuLaKZuN1uNq5fn346HZ2y8nCnGCE4Dl0hLBAJajWbN2lCkmzepAntajVVkENG3vPpI79M1fJv\nKlkw+kHEtC4BEUpRD7AshLtTsFx/5syZ+ceVnZ3Nn3766Yl8QAvCjLh69Wq67EpOHSgUhtYNQB4V\n5YOxYEwoWCIKrFunhsf7/j38O3m4H3v27KFDzi/wPARnxwDhRmIxGn93lcntdrNOWhoLK5WsB5G5\n2ARQr9Px6NGjXLVqFefOnftYUc7+CD/++COtkpQfejVEnuA/KOttv379aDOZ8if6doD+fn5/2P6+\nfftok3lMgwAW0WrZ4lcchry8PNarW5dWSaJDkmg0GLho0aL8/bdu3aLVYqE/hFtOhXsUiA4Aazz3\nnEfOxb04ffo03377bU6dOpVnzpx5YJ1HebZv3LjBtWvXctOmTX+YGPBetG7cmF1lZeAaxCrwaYi8\nEV26dGGRyAiG+HhTKy96jJf3vwbQWwkWUoJWBfiyHhxgEPdPaZWw4HhbLA+1gj0p/goyAI+ekT4W\nwBcALgLIe0ibT3Q+vv/+e5YtW4Z+fr4MDg7iypVzeUeB+PDDKWzQIJVWq5kGg45BQf4sUaIo1637\nP7Zs2ZAul+uRcyo9DtxuN01aLTcD3AVh6S8CEQrYCsFXMkIs0sXK789UCAvEo0ZQexz8VV2Y7kXL\npg3YMkHLYc+B5QJBmw78sI5QGL5rj3wloVphsExiabrdbnZo347lg8CMV4UFomGUUBQuXLhAm0HJ\n1S+AHCJK4yLg8Ap3t9uUNHDGjBl/+nF6Ap6QAX+HMDAE8B+S7z/rgXgKN2/exIgRQ+F0OjF16jZM\nnPgtYmNj8MUXa/+Q4X/48GHMmTMLO3d2QESEA6tWHUGTJg1w6tTZ/Ig+KSkVMGPGm6hXLxxGoxoT\nJuxBSkrV/DbWrFmD9evXY+bMtzF5chnExSVg6NA1+M9/OuK99z7A7t3fwd9/ITQaQpI0+f+TJDWu\nXhVRJhQKBT5evBjTpk1D/z59cCwnByEAjkBENbkAYC5E+uCsvDw4Ll6Er9OJK5cvIwXirbESIpLE\neQBFIKLbhAHYDBFVghBM23gAKghn+TNuN7LlbQBwQURyuoN9+/ahWpUqyLh9G9m5uXhr9Gj06NHj\ncS+PRxEdHY3sXODWbaBEEaB4zN19RaOA25nAnEFAs6Hbn90g/+GIjY1FZEwMdu3bB+/MTJwCYIK4\nv9IVCuzcuRPFihX7zf8UCgU++uQTWCUJNwHoIGY6xxUKrF+/Hh07dvToOENCQqDSaHBLHl8mgIzc\nXMTGxv6mbnp6OtxZWfkRzDTyb3+EuLg4LP3sMzSrXx83rl8H3G4cX74c8+fPR6tWrQAASqUSSz/9\nFGvWrMHZs2eRmJiImJi7N7XRaMTyFStQr25dZGVl4dvMTFjk/tcZjVg+cqQHzsT9CAgIQLdu3R77\nf4cPH8bXX38Nu92OYsWKofpzz8F2+zZuut3wjY7Gmo0boVAosGLFCly/fh1Vq1ZFcHDwfW1YvLxw\nSqGAlXejxRkBuHNz8cGMGTBByEQJQm4NBLAMwBYAR3wAjQIocxaYmgnoAQwxArV1QMpVYOvu3dDp\ndE9+Yv76eAfiNnYBKAHgM4VCsZvkj7+qlwPg/wBMA/Cppwdx6dIlVKtWFaNH90PVqino2PE19Oo1\nHAEBvsjOzsbAgaORlZUDs9mM0qXjMXbsQOzffwiNGr2InJxcKJVK9O3bB5MnT/HouPLy8pCVkwMf\nCA0LAIZArKa2BDAR4r15BcAgAK8CGAsgSaWCQqF4QIv/+/hq3Tpsa56NIAswtDwwaAOw4ihwLROw\n6IC3NgPpmYBJA+w/9hPWr1+PChUrYcV/P4b/5AyYNGK/v58PalRMglKlgp/kzm+/iBO4ePtuf1ez\nlNBqtX/+gf5V8LQaSEEXAOsBtH9InadVxv40bN68mUFBPmzcuAS3bevLsWMbMTDQ9zcJ4R6EpUuX\nsnbtoiSH5xcfH9t9xD+3280+fXpSp9NQq9Xw+ecb5PtDDh7cnxER3qxYMYitWkWS7EqyK69caU+t\nVsWaNSvx3Xdn8PLlyxwxYjhjY324Zk11fvRRBbpclvuiNeXl5fH06dNcvXo1/VwuKhUK6lUqqgHW\nAtgGgucQq1DQpVazkbxyopNXJS0Q/AkHRLSmehAuTEoIN6hC8vcKEO5NafKqi1r+jzdEQiYlQJNe\nz1GjRrFQYCB9AEbIq7OS0cidO3d69Po9Cfr17U2jHmxVBwz2B4+sBa9+D9avCr78PPh/b4BWCX9a\nXgj8BVYfC6I8jRy4efMm+/bpQ71KxUDc5d+4JIlffPHFfXUvXLjA2jVq0Gm1Mj4qilqNhiUAJsvW\nMRMEL6BJ/foe90Xevn07XU4ndVotLWYz16xZ88B6mzdvpslozCc7WzUaVq1S5b46V69eZevWrRkd\nFcUaNWpwwYIFnDp1Ks0mEyUIErQRoF6vf2xSZnZ2Nk+ePMndu3fzlR492OOll/4Sz+IdrF69mk6n\njW3bprBcuSj62a1sr1BwI8ANAMtrNGxQrx4DAnzp5SVRoVDQZNKxVKmSrFu3Jjt0aMtvvvmGP/74\nI30sFtoBDoOIoNRUPncpCnCfHlyrExYgLcBCCnF/qAHmBYIMAt+0gPU1YJ4D+W5MSXGxBXr8z1oG\n4Aky0kOsMXncAjFlyhQmJRUneYzkMebl/USTyciwsMIMDQ1hs2bNuHjxYprNJsbFRfH55+vwzJmd\nbNOmMfV6HTdtWsKAAD/u3bv3sft+GML8/FgP4EYIvkxdiMhLPeX3YVv50wywO8A4k4mDX3vN4+P4\nu6BoZAg/ex7kQGFNqFdER4vJQItWuDC1igdHVAK9DKCkVzEuUGLdeAudViMbNajPmtUq0WExcHKq\ngts7gA1jVAyxK3iyB7ipLeiU1Axx6DizFtiltJJBvg6mp6c/68N+InhCBjzzl/5DBygUiPMQC9vf\nAKjwgDqeOJ8Fjn379tHLy0qDQcPs7Ckkp5GcxrS0hEfykd63bx/9/Lx49mwfksO5ZUtHenlZmZGR\nwfHjx7By5WQ2bFiLu3fvZk5Ozn3m73PnztFqNfLChY58773KrFcvhHcUiEOHmtNi0XLp0lTGxvpy\nwoSxdLvdnDZtCsuXL8kqVZL5+eef57d1+vRpxkZG0mowUK/RcMBrr/HChQsMDwmhVnYDeVkWaC4I\njkMLgK0AhkK4OGkgQj7aZEUgVjbRWiDCttaWf9NBELSdsolWA0FKDZWVBwMEX8Ko11OpVDJcViAi\nAPqYTJw9e7anL+MTYd68eTToQZMe1GlFhurYMLD3C6BkAPUasHOnNgXmsnAvnvXkoaCKJ+TAihUr\naDYaGWo202EysVnTptyyZQvjihShw25n7Zo1WTQ6msUhuD9pALUKBc0GA4Pk+9kl3/+xej07d+hA\nUrhJNWvalKnVq/PTTz99qjG63W5euXLld90UFixYwOrVqrFkiRI0GAxUKpUsX748L126dF8biaVL\n06TVUo+7boNqlYp6+Vkzyc+kRq3OjzxVkFi8eDG7du3KN998kzdu3CjQvqKiQrl6dVeePz+S48fX\no0Wl5LvyRO1rgOXVSmo0SlqtRs6d2425uf/HTz/tR6NRx27d6jE01I82m5lWq8SxY8eyX79+DLLb\n6QfhumUBuFsP0ijKmxowSAnOsoJVtEJuVdOAqXqwjFac7zJqsK4WNCkV3LFjR4Ee/7OWAXiCjPQF\npUB07dqVYWHBzMk5QvIYL1zYSY1Gk89pyM7OZnx8Ufbq1YHffbeC/fv/h3FxUaxUqSxHjOhD8hQr\nVkx+YNjfp0Xd2rVpluWKDmJRrgxEArl2EO5LTq2WXTt2ZKtGjThn9uy/RKLVZ4U1a9bQaTWyc2k9\na0SbWLJoNC9fvsxOnTqxTiTIYaJs7wRadGD2YLG95HkwLjKECxcuZP14Kd9FKXMAqFGB3nYzI4L9\nuODDD5lYIp5BNhXLBCoY5DBw3Og3n/VhPxH+KQpEaQiLvQZAawguROFf1fHMGX1MPK7f2uDBg9i7\ndzXq9Rqmp48lOY1u91SWLRvFlStXPlIbnTp1oMtlZblykXQ6bVy5ciUHD+7P0qWDuWpVc06dmkan\n08ajR4/e978ff/yRYWHeJLvz6tUXGRlpY9u2UZw8OYXBwWZOmJBMsit37mzM6OgQkuT169eZWrky\n1UoltWo1+/buTbfbzUrlyvE5lYoD5JUQP5OJ3bp1Y7TRyOrypL6obCXQKhT0lif+SnmSooTwLff3\n8aFGpaLL4WCAry99IKwLSXKpDRGbXiUrHUZZubiTDfiOlcIs96NWqeiQlYdQgBaT6bGuUUH6Ie7b\nt48mvYLjO4LzeoMmnSBWq5TghB7g0U/AmikGdn+pU4GN4Q6e9eShoIqn5MBPP/3Ejz/+mBs2bODJ\nkydpkSTGyYpwsEzi7w0Rd70PBJk5sVQpJhQrxkiIFej+EITG8KAg7tu3j3qtlmp5EqABOGLECI+M\n9deYPn06JaORJvm5kEymB+YSOHnyJA16PaV7FHGjrPy0kI9VC1CvUDA8LOyJx/Ooz9TQoUNpMhio\nBWjQaBgdFfVQPtjTjMNmM3Pv3n4MCrKxTZtExoY7mQZhfXhZqWBUhC8bNSrNwoW9SS7OL7GxQbTZ\nJNaqlcJ162Zw2LAXaTIZuGbNGqYkJjISIoqSL8DPdMhXIDqrwP4mcJQZdCrBBC1oVoDNTOBH3uI3\nu3wvtWjRwmPH/Xt41jIAT5CRvqAUiOnTp7NQIX9WrpzMYcN6Mjo6jA7H3RC6e/bsYVRUON3un0ke\no9v9MwsXDqLBoKfRaGBKSik6nY4CyefTpEkTSvL7zA8iX8gpgNMg7jGL/H4c0LdvgSsOfwcOBCmC\nvLz99tucN29evgX4rbfeYo9kVb4C8csrQoG4s32pH2iVDFyyZAmLuJR0DwY5BLzYB1Qrkc+D27hx\nI6P9JWYNFPtP9QSNes1TW5r/5UAUEEjuuGfzA4VC0RxATQh/yHy0bdsWIXJGUJvNhoSEBFSsWBEA\n8rNxenr7Dh61vkajQU6OGzVrxiI5eRx69qyMtWsP4fLlHGg0GpDE2rVrsWrVKjgcDrRp0wYBAQH4\n+uuv89tr0aIloqKKYPv27WjfPhU1atRAmzYvYNKkikhNFRlu1649jtGjR+Pdd98FAKxfvx7r1q3D\nlSuZ6NjxKzRoEIo6dULw7ruHsH+/HoGBJhQv7gQA5OW5cft2JjZs2IAP5szBhW+/RRm3G3C78cG0\naSharBh27NyJ6nl5UEBodo5bt7Bt2zZcz8rCOojMrkcA5KlUKBIVhfQDB1ALIrvrfwHkAci8fRvu\nzEyYJQmvjxwJHx8f9O7RA6dOncJeAH4QXIizEJojIeJ5/gzhNKuHyGYNuZ6RRHpeHq4AuKZUAgoF\nGteujdjYWHz88cfw9vZG5cqVPXo9H2d76pSJ6NOIeKURUGcokJUL6HWAyQCMmgeE+gOTemSgWu+l\naNi4hUf7nzRpEnbv3p3/fPyLP0ZoaChCQ0MBAAsXLoQdgK+8LzwnBycBXIO4/9wQ/snXr19H9dRU\nrPrhB+Tl5gIQJlOXtzfGjBmDvOxstIa4rw8CGDl0KPr16+dx/9kxo0dDe/s2CMHJuHn7NubOnYux\nY8feV++OvAHEs6UGcBvAAIhMyGXl8d/w8cHqNWs8OsZfIy8vD2+MHAllXh5CAVzPycHJI0ewZMkS\ntGjR4qnaTk9Px65du3DkyBFUqFAh3ze8QoXyaNfuYzRunIAJExogPf02kouPQc2T6VBLOmSfuoyc\nvDycO3cN586lw9fXjqtXb+HEiYvIzMzBrFmD4OfnQqVKpbB27XbUTktDb7hxAGKFq6saaJEF9FID\npwkszAMSc4DvcoCBXsCrXsD5XKDESaC/DZjsBAZfBFII+Pj7P/U5/RvgsTPSPyoedy4QHBwMq9UL\nV69ex+LFn+P06XOYMWNG/v6TJ0/i+vUb+O67fejZ83Vcu3YDly+nY+LEAXC5HOjZcyQaNmwIl8vl\n8XfHzq1bEQJgBcR9VQdAIYgs5SYAdSE0sSnTpiEyNjafo1PQc58/a3v37t1P9P87nKg72zExMXhj\nmAI/nAUiHcCJWxpoNW58sj8PThOw7oQKiSUTMG/OLBy97Ea7ZUBSIDB+CxDqpcDXX3+NYsWK4euv\nv4ZN64ZWJmIeuQwoQaxcuTKfr2SxWAp8Lvkk2xs2bMDcuXMBwHNzgafVQP7sAuBzAN1+9dtT6mJ/\nDg4cOECz2cCBA9PYunUSHQ4Ta9euyevXr9PtdrNLl46Migpgs2YlabcbabEY2axZo/signz++ed0\nOq1s3TqRZcqEslq1irTZzGzXLp5z59ZlXt4gvvhiaY4ZM4akcFVo164VExIC+dprSYyKctBk0rBo\n0Uju3LmThw8fpstl47hxyfzoo6qMjPTm1KkieV1kcDArya4MUfJnyfh4xhcpwnoQsd1fAxhmMrFt\n27aUAHaRV2fDAUoaDS16PZvjbpSmaNnE3w5gR4iQrzqFgh3btePq1avpZTAwHMKkb5BXR/0hXCyU\n8jjKQSSsUkH4f95J2BWNu5mt7Wo1NSoVNWo1TQYDY2JieO7cuWdy3Umy+39e5Ki24P4ZoMUIHpwH\ncj0491XQYQVHvAi+1x902nWcOHFigfpV4l8LxCNj8eLFtCiVrAKwqnzvKeT7LkVeMdYBLBoTQ5Ne\nT6NCQRXASK2WNkni9u3bmZqaygD5eblTjAoFjx075vHxhgQH00tenfSFcEF65ZVXHli3UaNGNBuN\n+bwjJcAxAN+WS5LRyPfee8/jY/w1MjMzqZdlwgKA8yEsjU2bNOHo0aNYrVoyGzWqye+//555eXlc\nvXo1R48ezd69e3P27Nm8cuXKA9vdu3cv/f1djI/3pyRpabcbGBUVwr179/LSpUsMDQ3kO+804Z0w\n2p9/3oVGo5Yfftie165N4qRJTWkwaOlyWdiiRXl6eZlpNhsZHV2I3t52fvvtbJI7WbZsPE16HVer\nhGwLVIqV4ddUYJIKdNmstCrBj/3ARf6gQwmmGcFroWAdI7jEB/zABUbL/IjPPvuswM/5s5YBeMyM\n9PL+ArFAkMLaPmXKFA4bNpSbNm26b9+JEydoNpsoSUZOnTqU69d/yMTEeNpsFvr4OBkYKCI3/d59\n+DQo7OvLfgBPymWjbCn0AvgpwGNyGQGw/Z9gufo7YnD/frQZVSxsB/ulgLHewl1p1MjhNOg0tBi1\nLFWsCAcP7M9y4UY6jeCLJcCOxcE5dcFqUUbOmzePbrebZ86cocsu8dPnwav9wMEVlHSYtSwRIrF6\nrIUBPl4ei7pX0PCEDHjmL/0/HJxYkagOsZimAvACxApF+K/qeeiUFiy6d+/KmjWLsXPn59isWSmG\nhfny3XdFCNIdO3YwJMSHN26IxHI//zyEkqRj5cpFOG7cmPw2QkODuG5dB5JvMCfndQYG2limTBDf\nfLMqS5b0Y2JiAH19nTx16hS///57Bgf7UadT0ek0cNWqxrx+vQddLst9CYr27dvH1q2bsWHDmpw/\nf17+7+XLlKFGnviPkJUFSa3m4sWL6bBaWcRioZ/JxFrVq3P48OEso1CwDwS3QQeRYdoOsDzuciK8\nIDgLHeXSUlYEQnQ6dunUic8lJzPYYGAxgFaVimajkeGFC7NBgwaU5EncnaKR279XgVDhbohLb3nb\nDtCs0TAtLe3PutS/wY4dO2iV1OxYA6yVBHL93aLTiOLnELkiIoKUjAgLKJAXEvnsJw8FVQpCDvTr\n04d6hYIOCDcCHUBJoWARgIHytkWSaDYYWALCPzkKgsB/5xlbuHAhdRB5EAYCfBGgTq3mzZs3PT7e\niRMn0mw00gYxiTUZjb9L7szJyeHYsWOZmppKu91OvUrFCAi3xCYKBR0WC3/55RePj/FBsGi1HCMr\nEAsAVgNoMqkZFmbksmUlOWVKDM1mLStUSGLhwkZ6e2sZH29lcrKDPj42HjhwgEOGDGCtWpX40kud\neOnSJZYtW4JvvfUcrVYdS5f25yefNGK/fsmUJC2PHDnCF15oRqfTxJSUEH7ySTt6e0v09bWwceMS\n/OSTTiRnMjzcm2XKhFGjUdHHx87Ll5eT3MAVK0bRx8fO9u3r0tfXQUDwtL6WE8IdsAtlIDkhgVXL\nJnKuL8goURb6gREasLBa+LbX0ItrpQeY9iuie0HhryAD8IgZ6eW6OgAxEEY/HQDt79Tz+LmaPXs2\nixWLZtu2jUgeJXmUZ85sptVqZseOTdm4cSrbt2/CKlV+mwH9aZCTk0N/p5PBAL8HeByCRxgBsCQE\naf8YwJ8BNtFqOah/f4/2/7+Ab7/9loEOA2168MqrIIeBtwaAvhYNx48fz4yMDF6+fJlut5u1q5Xn\n0ubgvIagvxl8NQWsHq5kkJ83vUwqmrSgj93EadOmMSa8EE0GLcMKBbBBvI55I0GOAifXVjC1csqz\nPuxHwj9BgXAC2A7hMXAFIspn5QfU88wZfUw8rt9aqVLxHDq0NiMivBkQYGP16kXYunVznjx5kn37\n9mXVqrG8N7Gcr6+F48bVY6tWdzOr6nQaXrs2mOQb3Lu3O319JWZmDiY5nDduDKDVauDGjRuZnZ3N\nQoX8uGBBLZJ9uWlTczqdBp4+3YVxcYHctWvXQ8f7+eef0wThyz1CLtEWC1evXs2LFy9yyZIl7Nq1\nKxs3bsz4okXpDcFdMMsTqQAInoIWwn/TDhF9xAjhZ91BFoRaiIg3Fr2eGRkZnDx5MlNSUmjUahkL\nsIhCQa1anZ+krioEB0Ipl8B7Jnf6exSIAHm/VS4+Pj4evZ6Pi40bN9Jh09PXC7y2EuR6cFoPoTz8\nuADkt+Cq8SJfRIkiinwrkqfxV5g8FEQpCDlQo0oVFpOV4TC52M1matVqqlUqptWowZkzZzJIklhG\nvu+L4LfE45bNm9OoVDJEqaRJo+G8uXM9PlZSWBxnzZrFuLg4pqWm/ibb/O8hNzeXBw8eZLcuXVg8\nOppplSs/kDvxuHjUZ6pxnTqsqFRyPoT1Q6sBrVY1v/wykU2a+DAmxsSYGBN1OrBqVTsbNw7gSy+F\ns2nTINat60erVU2DQUWHQ8vgYBN9fc202Qx8/fUUajRKfvppU5KDSQ5mtWqh9Pf3YfHiAdy4sRM/\n/LAJ9Xo1jUYtJ05sxPnz2zAkxMExYxpSknRctaov9XoN27SpQXIDyQ10u9dTqVTQ5bJTkiRqNCr6\nAvkJ4egCk4xaTp06lSWjozjLB2QUuD4InOsDBqvBCipwlg6srhJyUAf8aQTYv4IMwKNnpA+WFYc8\nubgB/Pw7bXr8XH300UeMiAhh8+a1eUeBOHr0Kzocdm7evIiRkYWZm3uIkmTyqOX4vffeYwmNhjb5\nvWmGsCjaATaQ33VV1GqmSBLjwsIKPBrQ34UDcS/mzp3L2rFGhnkhn+/AYWCCLxjmrWev7l3z63Zo\n3YJDKqu4vj24qSNYKVTB6MhwehnBb14ED78CVigM2kwaXrx4kSTZsnkTTq4NcpQoe7qDRcIC//Tj\nfBJ4Qgb8pTkQJC8BSHzW4/AUtFo93n57HaKifHHrVhaOHr2Ic+f2oESJYkhMDMGWLUewfv0RVKgQ\nhlmztkCStNi69TTi4mrltxEfH4fXX/8ao0dXww8/nIfZrINOJy6jyaSF0ahGeno6fvnlF7jd2WjR\nQsRoT0kJRLFiLowcuRW3bon8BA9D5cqVobda8dO1a9gHkenn5o0buHbtGq5evYpe3bvj3C+/IBrA\nCQC3AFwG0AXCPzMPwLvyZzoAm7c32rVsiXenTMGi3FxoILgMWgA/AcjIzITLakVsXBzOXbwIR3Y2\n1ACCSCA3FycA7ALgBeAchHmqEMSb56bcjwIiNqAaQuNUQryJNABiChd+ksvmMXzyfwvhzs1EzSQg\nujUQ5g/sPAREBAHRIaJOahJg0gMnzxBnfjn1h+39i4LBDz/8gO+//x7BwcGIjY/HoU2bUCQrCwBw\nWKtFw0aNMGHyZKjVahiNRnz33Xe45nbDCXEvXwfgZbfDbDbntzl/4UL07tcPx44dQ9GiRREeHl4g\nY1coFOjYsSPCw8Pz/WAfBSqVClFRUXh7+vQCGdfD8O68eaifloZO332HrNxcGDSARkN067YfDRta\nMWhQYXzyyRVMnJiBPXtuQqXKQMuWwahXzx/jxh2CUqnA8eMNcOFCJqpW/RIdO0bg0qUsTJu2CySg\nVN7tS61W4PLlS/jqq+6IjnYBAKZM2YK0tHj07Cl4Uvv3n8GQISvg7W1FixbvQK1WYs2aHTh37jJ8\nfR1YtGg9goJ8kJ5+A4aM2yivIjYrgNduAm9JwPE84FBGNgb37YNyVauhz2eHcDwHmHcNuOwG9Apg\nth4IUwFtNEDELQBK5T8qfj/JdAANHvD7KdzDjyB5AkKUPxPUqVMHgwcPxKpVG/HKK28gPj4a48fP\nxiuvtMNnn21AQIAP0tOvITc37w/zOD0uPpw7FzE5OTgFwR9sA6AKgMUA7iTFOuTlhYnTpiEtLQ0m\nk8ljff+vIDY2FgPOEqpcYPQmoF0CsPywyOWwuUsmEt6Zg96vDkRAQACGjHgT5ZLWYMOJm/A2q3Dk\nth5lk2NRKvQoyoWI9ibXBqrOycWePXtw6+ZNfPrpMnxvAVoVF3kmJm1RIi83B14Y9QsAACAASURB\nVMuXL0fdunWf6bH/KXhaDeSvUPCMLBCPi0aNGtBmM3DOnNbcuvU1VqtWhBaLgUuXduXs2a1osegp\nSToqlQparQaGhvqwQoVk3rp1K7+Nc+fOsVKlFGo0aprNRtrtEseMqcYjR17msGEVGRRkZc2aVXnj\nxg2azUYePdqRZF+mp3enl5eexYvH8tChQ4803oyMDPbt25d6pZKxEC5H3vJKmUGlog5gQ3l1PwFg\nomxN6Auwn1wKQbgs6SAiKjmNRho1GlaWrRDV5X1qCK5DXQg/c5X83xDcDdXqLX8Gy/uLQMTeT8bd\nsK645/NOVmvInx9//HEBXdmHQ2QR1rJeGZDLwa1jRXSHFUNBhwU8swzkt+C2WYIjERYAhof6eTQS\nzR3gL7D6WBDFE3Jgzpw5tBqNLCJJdJlM7NCmDUuXKEGHJNElSYwrUuSBrmWj33qLBp2ODrOZXjYb\nt27d+tRj+V/BL7/8wjVr1jxU7owbN5ZWq4I6Hfjyyyb26yfR319Dt7s0yUSSiQwL09HbW8XUVF+S\nTUk25blzdanVKul2tyLZmuPGlWRMlJVud0eGhJgpSRqWLx/Ezz5rxhEjKtBu19Nk0nLbti4k3yD5\nBuPjfTlyZB2S0/jzz8Pp5WXigQOTSC7ml18OocVioM1motGoY0xMCP39nfzuuw8ZHhbIz80gXeAx\nLyHL4lWC5zDNBb7vA1ZLTqJeraJRAc72B89EgYNcol6uBLolsLACbFynTsFeiHvwrwx4PFy9epUv\nvPACHQ47bTYznU47IyML08vLxkGDXmJ4eDD79/dc/oWLFy9Sr1KxkGx5KArwsFwOQURLswDUq9Ue\n6/N/FePHvEWzFoxyggY1mBgI7n0Z5Cgwwk/iDz/8kF/34sWLnDt3Lt9//31u3bqVRYtE8sXSyLcw\nLGsFehkV3L17N72sJm79D9grBdSrRdtFXOC0emCQ08iPP/roGR71w+EJGfDMH3hPlL+LApGaWoPt\n2iWTnElyJs+fH0utVs0DB4bRZjPw8OGBJCfz0KGBtNkkLlu27D4C9b3Iysqi2+1m48b1WKyYD0NC\nbKxdO5LLljVnyZJxJMmZM6fT19fGZs2KsXBhF/v27fmH4ztz5gzXr1/PMWPGsEe3biwcFMQiOh1V\nEP6WZSHIjUMADpIn94Vk5aE/BEfCS673EkQYViMEV6E1BA+iM0CLVkuVPKnXAKwif2+Nu9yIMAiz\n/vPy9zvKgBKCHGrU62k3GBgnKxJ6tZqSJBGyEgMIH2SL/B8nQLvVep8y9mdi1apVTIqR6GsHj78H\ncjlYIQ5smAK+mAaajWDJKNBiAs0mcO00sESMxA0bNnh8LP9OHh6MzMxMGnU6NoAg9LYE6DCZuHnz\nZu7atYs7duz4w2R/586d4549ewqE2/B3xdKlS2kzGlnUaqXdYOCIYcMeWO/27du0WhVs3lzNkiWV\nnDXLxiNHvOlyqZiRUYpkIrOyStHlUrNQIRXr1vXnHQUiPb0+dTol8/KEAtGudSglg4r9+sXTYtHQ\nYFCxS5firFGjMFu1imPfvmXo5WVmYKCF77xTl717l6PDYaTDYeK777bgoEGpLFMmgveGb/XxsbJQ\nISf1ei2XLRvHzZvnMMTHiyqAvkpwncx9CFCCnczgiRCQEeBn/mBceGFqABbXg4wTxR0rQrcu0YM9\nNaBdoynw3Bf34l8Z8Mc4ceIEp0yZwmnTpvH8+fP5v7vdbiYlJbJKlSROnNiPlSsn0mw2sUyZRI+6\nnx08eJD+Oh07Q7gqOQHulxWIXfKiWhWACZGRHuvzfxnhhXy47SUwyArOrA+e7Q+OTlUwIiSAWVlZ\nv6l/8uRJ+jgs7F9JQbsebFUcfK0CaNaB5ZPL8ObNm9RpVHS/CfItsGYUGGIDIxxgzxTw01ZgudJF\nn8GRPjr+VSA8LDQeF4/it7Zy5UqWKFGUYWHBLF8+hXXqxPOOAnHw4HCaTDq2bp3MokX9eS//oXTp\ncH777bcP7fP99+cwISGI58/35e3bg9iwYVH26tU9f//evXs5f/78B7Z1Lz788EOa9Xra1WoGyZP/\nAICl5Al4f1lhaANwuFway4IsRd7fX7Yq3Il1bwZYH8Jv8+V7ilPOWJ0A4Vuul/t4/h4Fwglh0Xhe\nVgIiIKwTVQDqlEp+9NFHHD9uHCPDwijp9bRptbRpNPlRmNRyv8Hyao0BoFmvz4/n/KTX80lx4sQJ\nOmwG9m8EWo1goEMkqPHzAn1sYFQgqFGDXRuBO+eB7m1geJCiQJIT/Tt5eDDOnj1Ls17PdrIC0Q5g\npMXCpUuXPlY7z8Kf9UnGsGXLFhYOCaFep2Pp0qV54sSJJ+pr165drJ+WxirJyZz+zjv5E6k7CtlA\ngLMAjgfo+B1S97p166jXgxcumPn223qGhKh4+LA3GzQwMCnJxMmTC7FcOYmlSioYEQEajSq+9VZR\nfvllBaakOCiZVOzaMYINawXQplPSLKk4ZEg4u3QpRJtNQ39/E9eubc6PP65Hs1lLg0FHs9nIwEAb\nAwKsPH58KDdv7smGDeNpNutotRp5+vRMkou5c+do2mwmXro0n2azngaDnpJayQXeoLswuNYPdCnB\nOZL4DFSBawPATYFghGSgRQn28AP91OCaYJBx4KVoUK8Q/uzeCnDevHm/OScFiX9lgLAKJycn0cvL\nznLlkvMtZD/88AO9vV3s0KEhW7aszYAAf3700Uds1KgBk5ISKUlG5uTsJrmf5H5GRoY8tox4GLKy\nshjodHIwwC8hrPzFICIcRsrvuCCn0yM8pUfF35EDcQc9u3VhzTgDv+oEFvcDDRowItiXo0eP5tGj\nRzl58mQOGyoicK1fv57jxo1j57Ja8i3w/CDw+XhQpQCL+OsY4DDw1d49GBsZwmn1FdzTQ+SU+LQN\nuL83mBYF1o0Bk0s+ejb5vysH4pn5Ff4TsGPHDrRv3xpvvJGK4cNrYt++3Vi79kd06bIA06d/jdq1\nZ6BPn344dCgTR49exDff/AQA2LbtOH7++SIiIiIe2kebNm1Rs2ZzFCo0GTbbaGg0EXjjjdH5+8PC\nwlCqVClYrVbUqVMdYWFBqFWrKo4fP55f5/Lly/hPp054PjMTzM3FywCqAngZImZ9FIB5EMy1w5CX\n9wEcApALYAdEfoYzAL6A4Ca0h+Aj/CjXOSj3dQbA9bw8VABQCkAygHAABgCfATgAkW78KgTD7jpE\n2K1IuT0JgC+J/fv345XevdHn1VdhVijgzs7GrZwcBAMoAaCkPMZbEM6zuQBuZGZi//79Dz2nBYFC\nhQph+sz3MW21DgqlEmoVUCYCuHIDaFAe+HEuUKcscOIs8MPPQN3ewMV0wGg0PpPx/hPh7e0Nm92O\nIxD3zkUA53JzkZCQ8IxH5nmcP38e1atXx9njx6HOysL+XbtQpXJluN3ux2rn4MGDqFK+PHSrViFi\n82a81acPxo4W8ufixYtQkQiR61oAhGg0+Pnnn3/TjkKhgFarwOHDbrz0khYhIUDJkhewdm0GtOpb\n2Ln9FLZtu4lli4nYIoA6Kw8TJxxAr16bcft2OnJu5WHR7CPY8dkvoE6JufOKYfjwSEyfHoc2bQKg\n1RKNGy/BuHE7sGRJM+zf3wV6vQadO/dGenoGDhw4h8TEYKSlxUChUCA6OgjFivVBQkIf1KgxEnPm\ndMPevcfhdiuRkBAPE4gWEqBQAFUMgL8aeOU2UMYImFRAnbNA1TMKXCGhUgANvcRx9jwLDDkPPPcz\nUFUHqBTAbYUStWrV+s05+RcFh1u3biE1tTpeeKESfvzxv2jatDxSU6sjIyMDQ4cORtu2tVC9ehn0\n7t0Szz1XDF27dkb16vFo06YGAODLL7cAEAuwbrfIN+FJaLVarNm4EQv9/FAN4r1XDcAlAI0A5CmV\n2H3oEGJjYz3a7/8q3ho3CYWSmqLZYgkX6QWr1YIYrxvYuXg4EmIj8fnMvsje9Dqa1K2Or9Z+Cbfb\nDaVC5MnxloBOiYBFD2x+KQv7emVg/pzpuHrtGvp/oUDpaQq0Kw3UiwOCbEBSMLDqEFAltf4zPuo/\nAU+rgfwVCp6RBeJhGDp0CAcMqMfz56fR5TJz2bIePHFiHKtXj6O3t50fyT5ye/fuZcWKz1GSdLTb\nTbRYTFyxYvkj9XEnalHHju3ZvHlzvvnmm/zpp59IkpMmTaLRqKWvr0S9Xs06dSJ46NCLHDWqEsPC\nCrFX9+6sXaUK27VuzWCzmb1lq8MkgBMANpFX8UsBDFUq6e900mW10kelogsispIEsDREBmktBI/h\nTsSllgBtSiVTUlJoMRiokldObLI14Y61IQmC02CAyB8RK1scVHKbOgieQz2AdWSLhEal4ubNmzli\nxAi6FApaZatDKdzlRQRAuDHdcX0CQKvF8qdFOnkQ3nnnHVaMNzBnEcj/ggt6CovEqA7gjF6g0wqa\n9GCRENAmgc83qevx8eLf1cffxf79+1k4MJA6tZoWk4nLlz/ac+hJXLt2jVu2bMl/jgsCy5cvp91i\noRl3o7sY9PrHDts6eNAg1lAqOQPgDIADABb28yMpwlB622zsLlsgXgdoNxh45MiR37STmZnJwoX9\naLeDPXtqGRWlYPWqoDsTZBb41RdgWCj47QbQZBSRy0wGcNkyNfPytBw6VEG1bCENsai5dWsyyZok\na3LChCKUJBVNJg1v3BhAcjjJ4axbN56zZs2iJBloMmmpVCoYHe3DypUjqdNp2K5ddTqdFg4b1owZ\nGYvo5+fkF18s5ZUrJ2nRa3miEMhQMD0YtClBmwp8JwIcHgw6NOCCoqC3FpSUYDkzOCkY9FGBrY3g\nILOQkRaAlRITn/p6Pi7+6TJg+/btTEiIIbk7v8TGRvL7779nVFQEXS47GzasQn9/FyMiCnHu3Dd4\nx+Lw7rvDGBTky/ffH8mWLeswKSnxgW4wT4pTp05x7969zMzM5Llz5xgRFES1/O6sDHArQLNWy8uX\nL3usz38SunXpyD5V1OQkkJPAN2uDzRJAjgW3dgcdZh1//PFHenuZOb6Wgs2LCQtDUT/QWwK/7Q5W\njgBHpoFH+oMRPho2SVDx2ggwxgdsFA/2qQj62I0et0x5Ep6QAc/8gfdE+asqEGPGjGHbthX5xRf9\nWKVKDMm5+SUw0JvHjh3jzp07abVKtFr1HDmyDkePrk+bzcSFCxc+tP3s7GxWqJDMihUjaLPp2aFD\nSXbtmkSXy84VK1bQYFDzq69akhzMffs6U5I0PHnyJebmvkqrQcOyWi27Aiyl01GnVAr3InmSXhIi\nSVZTCN6DU5J47tw53r59mx988AFtksR4k4mFDQbq5El+Eu4myioJUKtQsFvXrrxw4QLr1a7NRAhu\nRBkIQnRDgLUAWnQ6jh8/npJezzRZ8agA4QallU22GoA+8kRHLW8XiYjghg0bqNdo6CObeYNl5SFR\nFriQ/+OLu3khPvnkkwK+8r+PwYMGcUgTkP8V5fS7oEEL+nuBTotQGqb3BbkFvPEVmBBt4uLFiz06\nhn/65OFhcLvdvH79OvPy8kiSS5YsYY/u3TlmzJgC5zds376dTquVha1WWvV69unVi1lZWZwwYQLb\ntmnDKVOm/C4v6nHwzTff0GwyUZIVCBNAzRP44Q8ZPJjV7lEg+gMM9ffP3//tt9/SZbXST5Io6XR8\nf86c320rPT2dCQnRNBrBiAg9E4oZWLkS2K0raDGDSiXodIApZUAvu47dunWjxaKgSgUGBgj58CnA\n5zQKlihu4d695bh+fRn6+GipVoNqtYJ6vZqdO5fkunVtaLcbmZZWhXq9lmvX/oelSwfR21ui2ayn\n0ynR5TLT5bLSbDZQqVRQoVAwO/sKyRucPH4UnRoV6xvBQmrQogRXFQXPlgXnRoGJknBRijCAz/uA\nMUYht7QQ3IdghQiPbVcqHznUrifxT5cB+/fvp9PpxRs3NpPczWvXNtHlcnDp0qU0mQw8cWIVb9zY\nzBdfbEiTSc+uXZ/nxYvfkNzPuXPfYGRkMKOjIzl48CCPcVfcbjd7detGm05Hf7WaJqWSWojAIZsB\nboMIMBIDMMDL65kuhP2d0aReKhe2Qr4CsaYrWCkM5FjwwlDh3tSmRRP+8MMPrFoxhX5WJS+NADkB\nXN4BDLSCdgN4uL/4beNLoFmvZFKIkg2Lit84AVz/HzAqNOBZH+7v4l8FwsMTh8fFw/zWLl68yNDQ\nYKalJdDLy8SGDUty8uQXeOrUeEqSkVevXmWLFk2YlBTKyZMbk5xGchrfe+8FenmZOGnS+D/sc9Wq\nVSxVqjDbtSvBkSOr8k5EkUmTarNYsVj6+Um8E/ucHMwSJXy5bFkjbtvWhjYF+B7AOfLqoE2rpVmv\np5/JRIM80X4LwhrxEsAws5lffvkljx07xs2bN/PQoUOcP38+p02bRqtez8IQfIU7CkQjgDUqVuTG\njRtpkyT6mkzUygpDI3nCogMoabX84IMP6Ha76eN05isHOoCpACvKL12TrByk4G60J8loJEkOGjiQ\nSnkipJT/fydHhAKCA3EnM69JVioGDBjw2NfTE1i5ciUjg4w8+x7oXgw2KQtG+IHupWD2YpFI7uIq\nkFtEebWVkiNHjvToGP7pk4fHwYjhw+ltNDIRYKRez2KxsQ+NjPU091FIQAAbys/QKwB9jEaWLFGC\ndoOBDoB2o5H16j7cKvWwMbjdbtaqVYtmk4lGtZqS0cjXX3/9scd75MgRekkSGykU7Agw0GjkpIkT\n7xtHRkYGDx8+fF9ejN/D119/Ta1Wzdat/XjrVhUmJZlZ4Tlw1zYw+yZYKw2snQomxFv4wQcfUJJ0\nbN4EXDAH1CnAcRDWU6ukZGiojk6nmjGRYGol0OlQc/HiBoyLc9JgUPP116vyvfca0M/PyrAwb06Z\n0oh2u5ENGpRgbu4s5ubOYsuWyUxKKsr4+HgGBgZw/Pg3Sd7g8eM/0GazMcKoZEeXsDJMCwd9dWAV\nb9CkBAf7gUP9QKMSNKhAg0LIJi+FGKNDreb06dMf+5x7Av9kGXDz5k2WKVOafn5ORkcXZr9+7RgZ\nGcyYmCjabBaGhQUyO3sHS5WKod1uYWpqWdaokURvby9OmfIafX2dDA8Pzk8C66n3xvLlyxlhMnED\nwO8g+A5mgG9CJJL7HuB0eaFMAjjxnufsz8DfmQNxL6ZOmczEMCMvjASvvgkmFwabFAW/6gw2jQfj\nfUGNWskFCxZwxowZbFPWlK8UuMeDSgVYMRz5vy3vABaPC2elShX5apW7v58cDPo6Lc/sOB8GT8iA\nv3QeiL87nE4nvvpqA8qWTUSzZmVRrlwkJkxYhcGDl0CjUaNevVrQajVQqRSw2+/6unt5GVG8eBCG\nDBmMyZMnIDc3D7Vq1cG4cRPva//mzZvw97fg2rUshIU58n8PD7cD+BlXr2Ziz55zKFbMF6dOXcPh\nw1ewceMprFv3CzQqNRS5uQAEt8Cg0eDTdetgMBiwc+dOdG7fHpp7+sq5cQNjx4zBtm++gVOnQ7rb\njaUrVyI5ORlDBgyAKTMTOyEy/hDANgBlHQ40rFsXVW7eRGEAPwD4CiL3QywEr2GZWo1WrVrh6tWr\nuHrtGmoBWA2gLEQWwWwAUChgIHEVQA4AF0QqUh9fXwDAiJEjsWnjRuz/5hsUg8g6eBB3U5ZmQaQ6\nJYBM+XhGjRoFpVKJESNGPOHVfTLUqlULn9d6AYU6z4JWDeS5gfqJwpdaowZCvIGFa4CXmwLXbgKf\nbzPg9Yb/+rk+C+Tl5WHkyJFonJMDEwBmZuLLEyewatUqNGjwm/D1Hunv5JkzaC5vGwC48vJwYP9+\n+GZnQwHAffs21n75JY4dO4bQ0NAn7kuhUGDZsmVYtGgRTpw4gZIlS6JatWrIzs4GIHywHwXh4eHY\nuHUr3hg2DOeuXsXIli3Rpk2b++ro9fpH4nMtWvQxunXriLQ0M/773/NQKhV47jkvTJ9+Ay3bKZCd\nrYDZrIVOk4WDh66ja9f2iI214LPVufhqQx6MFjX6X8uFBUBGhhunTmXjuTLElx8BX28BcvNy0bTD\np4iLD0C5csG4dvUWChWy4sMPG6Fdu88wc+YBAECrVmWhUgl6YLNmpdC61WxkZQt/6CFDRmDYsFHI\nzMyEUgGcznMjxwVU1QJ9jwGJXsCFDGBUAPCyjzgubw2wJBvYeglALpBD4JO4OHwwejRq1qz5SOf5\nX3gOU6ZMRmCgFZs3r8F//7sW8+atgNvtxsmTJ5GX58b581cwZcpCHDv2Czp1aoDRo7sDAIYOnYnB\ng6fi9u0stGnTDh07dvLouPbv34+ymZm4kz2mFoCpALYCqAHxnt4lf1YD8OGMGejZs6dHx/BPQNeX\nuuHE8Z9QaMQ7IAEvqxG7T1/HN8eBW9lAVi7QvIQbkwa0QrY5HOnniXPXAV8LsHgPUCjAG8czgfaL\nrsJXysV7O/WYNXccsrKy8HKXbagZnYFQB9DrMz1qpv2PP99Pq4H8FQqekQXiUbBo0SLWqFGC5Ick\nP2R6+kxqNCoeOzaREye2pNVqotWqZ2CgjV988RLXru3O4GAv9uhRmX5+Fm7f/goPHhzA4sUDabdL\n95m7z549Sx8fB9u3L8mYGBf373+ZBw/2ZMmSIZwwYRwTEmIpSVqWKRNAs1nLUqWK85VXenD69Oks\nHhPDylotXwFYQadjmYQE5ubmkiSLRUXRH2AJgL0gXJrM8sr+QIBjIbgLLrudbreb77//Pg0aDbWy\n5UINwWFQy9sRAHsC7CN/fw7gixAuTy4vL06ePJkXLlygSa9nfYicDi4I1ylvnY4Oq5UhENmqi8lt\nmgGOH3/XQuPjdDIJwke0MkTEKJ1scVDJY7/DhdBB8C0UAAcOHPgn3xFkkchCfK8zeOE98Pws0M8m\nojLVTwTLxWro7TAxJsxMq1nFyDBfDh08gJmZmR7rH//g1cfHQWZmJtUqFTvK9+uLAGMkiR988MH/\ns3fd8Tmd7/s6794jb/aQTRaChMRMbCEiNrX33kVRu2Z1WbVKqVKbWrWp0qVmi7ZKldpBiKw37/X7\n45yEtLRGiN+3rs/n/iTnnOecZ7zv+5znfu77vu4CredBBBYpwiTpd9YPoFWjoUmnY4D0u/AHaDYY\nCpx9xW63s1O7dlTK5VTK5WzbsuU/UtYWNHJycmg263jkiCtJL54750arVaDVKrB9exsPHgzjoUPh\nfOMNd+r1oMEg49GjtdmqaREq5YJI1WxScMmSJaxRvSINBiXVajlf7w7ygiiXfgDNRtCgAyuWknFS\nL7BscSUbNihKs0lNrVbBcmV9mZQUyd27B3Hv3sFs3LgMjUYtu3Rpy8GD+1AAGGMBy1tBsxKcVRpk\nU1F6B4FhAlhMBi4PABklysoAMNELbBIAKgSR6nrhwoUvbGwfhv/yHNC9e1e+//5g5sY+HDnyGS0W\nI1evnsJbt/awS5dkarVquro6ceXKSSS/J/k9N216j5UrV8h7TxY0Vq1axRC9nvsBLn/gvasFWEx6\nH3pI781mAIv7+z+XdvxXkJOTwyVLlrC0v46pU0HHB+DI2mCsHzimNhjjC3qZBdaoFkeLQc1wHyPN\neiWtJh0DfFzZqtVrHDJ4MIcPH05ni56BHgbqNEr6uFvp6mRkh9bNC402/nFQEHNAof/gC0JeZgVi\n2bJlrF+/HHMViLS0BVSpFMzIWEjyE4aEeLJx4ygpgFpHf38bFyxozeTkSM6e3YS5tK779vVhWJg7\nvb3d87kv/PDDD6xYsSydnc20WvX08nLl6NFvMicnh1lZWZw2bRrbtWv3t0XPjRs32LJxY0aFhbF7\nx468detW3rUALy82gPii84aYxGYExIC/wZICMRWgWqHg6tWradHpGCEI1EDMBTEUYq4IP4hUr0HS\npNcVoF4mo5NWS2+dTuRGl8sZptHQx8ODtWvVohKiq5IGoEIQOHr0aBo0GjYD2EISK8BSJUrkW+CE\nFi3K4gArScqHTFIccpUG4QFlIjcw2yCdf5G+pCkpKRQEMHsZyBWitI8HhzcEhySBTiYVX2vekEat\njJ42cFwbMCFWyyYN6xZYG/7Li4cnRY34eIap1WwK0Z3OajTyjz/+KPB6cvHDDz/Q1cmJ3iYTDWo1\nhwwaRN8iRegsl9MLoLNSyaJBQU+1uE9LS+P69eu5atWqvwVgThw/nmE6HadBdK+J0Go5euTIgurW\nvyI1NZVarYIOhydJL5JeTEhQ08kJ1GrBJk0sTEqyUq+TsX8vsGhRLYcMDGG0Vs5PAC4C6CcD27Zu\nTZJc8dln9HBT08UJPLQFvHMa7NAMrBELujqBmQdBfg/e2SeSFpQuChq0oEUPapRiXJJSIf5VK0Gt\nWka1AnTSg3oVqBRAfxPYoghY3xMcFgrOLAUmycEJAIsowb3FwH3FxDiIj6uApZ1Bg0Kcf7744osX\nNrYPw395Dvj4448ZGRnK69f3MDv7e7Ztm0hfXw/mKgppaV9SoZBz7NhurFChJG/c2Mlbt/awXLkI\nNmnSmNevX3+CkX58OBwOdmrdmgZBoF6ab8wQSUp6SwqFVVIoDAAjgoKeSzv+Sxjy+iCOrwdyuihn\nR4NOOrByILivN7igOWjWq7hx40aGFwtgQoSMF8aBX/YDLQYljToVdSpwb28wexq4oi1oNmh4/vz5\nwu7av+KVAvEcFw6Pg3/yW3M4HLxw4QKPHz9Ob28Pjh/flNu3D2V8fBhbtIgl+Qnv3p1Pd3czf/55\nEvfufYM2m4FarZKenk40GDR8/fVqzFUgFi9uxRo1QqjXa555AsvOzmajxERxIW8wMCwwkJcuXcq7\n3r93bwaq1TQAHA8xBmI4RIvCIEl5aAvQ3WZjSEAAW0uLfoVUdqSkaOgAdgRYXVq0CwA9nZ25ePFi\nBnh7MwFgL0mKK5VUCELegt8XYLhCwdGjR1OjUrGxpDw0B+iq1XLXrl35+rRr1y4adTpqJQWinKT4\nyHA/CZ0gTb4+EIPFc5mZfLy9Wa1aNX7yySfPNK6PgwF9e9LFBK7oD3IFA8lf9gAAIABJREFUuGGw\nGAOx403Q8RnoZABrlwZPzgJXDxWPm1UBrUZw6JABBcL2UdiLB4gMvWsB3AVwFkCLfyjbH8AliMy+\n8wEo/6HsM4/NX3H79m22aNKE3m5ujCpZkt99913etUct4p/VnzUtLY2HDx/mhQsXSIqsLLVr1aKv\njw8T69XL91t9FP7ahpSUFAYGBNBiNNJqNNLF2Zm//fZb3vXacXHsDHCWJN0BVo2NfaZ+PKwdj8KZ\nM2doMsn47rsmOhyePHzYhWYzWC4alMtFJSI6Ooq+vjoOGwS6uMgYEWDgaICrJekDsHRoKEmyccNa\nrBcHalSgQi4qAQ2qgu8OBkP8QH4viuM7kbigfAR4ejG4/wPQ1QJuGQHeWgwW9wVVKgW9LODVd0DO\nAyc1BP0MoEkBtvABV5cHG3uDTkpxvjwMMYeIVWJmclaIgdPuatBFA+rl4IQJE555bJ8FhT0HPC95\nnDnA4XDw9dcHUqNRU61W0WjUUalU0Gw2cOTITjxx4jOq1SpmZR1knz7NqVarqFDIaTDoGBYWSCcn\nC7du3Zr3vIL0X8/OzqZepeJygPshWs6/BPitJNHSO8sNYFxUVIHV+zj4X4mBeBALFixgpRAdM94B\nOR18pyGoV4LnRiIvyLpHZTmdLEZatOC5MWK5P8eLSeXWdAKLud6PpQh0Bt1NYJmSIU9EuPH/NQbi\nVR6I54B79+4hMbEOIiMjEBdXEWFhYTh+PAdvvbUPN2/KcPjwOYwatRoVKoxF3bolERTkhpwcB7Ra\nA9zc3GC3A/XrJ2HRoh9QuvQUhIS8hT59ViM+PhhyuRxWq/WJ2kMS8+bOReN69dCza1dMnDgRp3fu\nxMT0dIy5exf+v/+Onp064cqVKzh79iwmTp2KhA4dINdoMFEQsEWlwiytFkkNGuBDtRrTjUZsMpux\nduNGpKamwgZxhRcMYBGA1QDmAJBDzAnxJYCaAPoBKH7jBoYOHAh7Tg7MD7TRmJ0NM4mOAJoBuALg\nJokvNm+Gj4cHdqvV+AXAt2o1VGYz1q9bhwMHDuTdHx8fj28PHUK2XI5AAEqpbmeIOSByUQSAEYAr\nxFgMALhx4QIO7N6NHj164NatW080tk+KX3/+EYPqAX0XAcUHAs3eA+qXAaoVB9KzgLsZwCcDgBBv\noFZpQKEAXF2BhSOAQ3tmoH3bZs+1fS8IsyCGo7gAaAVgtiAIoX8tJAhCLQCDAcRDDK8JBDDmBbYT\nJpMJn65YgT8uX8Z3R44gKioKe/fuhbuLCzRqNYL9/Qs8t4hOp0NkZCS8vLwAAN7e3tiydSvOnT+P\nDZ9/Dncp9udJMG7cOFy9cAHCnTsQ7txBekoKevfqlXfdq0gR/KG4HxJ3Xi6HV5Eiz96Zx8SHH05H\ns2bARx/dgV7/JypVugaFAqhWXYf0dFfs3euEs2d/xO3bMrw3C1ApHDhz7i5+eeAZPwO4k3EHs2fP\nxrffHcHFK8Dvu4DLXwL+3sCla8DE+cAfl4FpnwC/nAdGfije+0EvoKgPUKE4MLgFsOUwYNYD3WoC\nXp7uaBoFuEjO6Z0rA9cyACcV8EkM0NAbWBYjruwEAL8A+ApAlgPIygEm2YGlDsArE3DXAQo5cPjw\n4Rc2tq+QH4IgYMqUt5GSchMdO3ZESIgfLlzYgOPHl2L16l2oUKEjPDzc0bPnFPTq1RTDhrWDVqvG\nyZMr8eOPn2HduqlITm6AmTNnIi0trUDbdufOHQgAAiDmLxIApD9w3Q7x/ZUCoEGrVgVa938Rbdu2\nhUdYVRSbpEPZ940YtUWGbAdwJ/N+mdR0Ab6mdHiYgTPXxHMHfgMCnIH4YODKHaDXKiDUDfh5GHBh\nNBCsPIvxY0YWRpdeLJ5VA3kZBIVkgXgUhgwZxMaNKzArazkzM5exQYNYjhw5giT53XffsUgRV3bp\nEk+DQcN3323BpUu70tXVQjc3Kw8eHMZz5yazTp1IBgX5MjGxJLdu7cN+/arRYFBz3bp1j92O33//\nnXv37mW/Xr0YpNOxF8AGCgVNajUbQ2Rg+gjgaIBmlYpGtZrOOh3LRETw6tWrJEWXipUrV/LkyZMk\nxbiLw4cP51HXdWzblsU1Giols2pdgPGSqdUsl9NTq6WzIHCwZJUYDNDTaGSLpk0ZrNWyHcR8ExqI\nWaZzfc1DJXej0oLACgCNSiXLlilDvUZDN0GgF0CDRsNFixZx165dPH36NM+dO0elTMaSENmaSknW\nB61kDQFEX9IwSQzSOT1EX1OLycSNGzcW8LchP94cNoTJMRpenwt2ihetD1UjwGltwIohoE4NHvsA\n5AZw00gwKgR5jEz3doM6rSKfu9nTAIW4+wgxnj0TQOAD5z4GMOEhZZcCGP/AcTyAS//w7Gcal8fB\nlStXaDEYWFuyrlUG6OHqWqA88M8D9evXpx6iW6KT9H2PCL+fKfXixYss4u7OSIOBpQ0Germ6vlAz\nfK9enfn22wJJOVNTZdy7V6Rtzc52JelG0o3t21tpMukYE2NiWJiWYWF6OhnkLCWApVSgSQVarTom\nJQUyIkzPFe+CPCnKpg/BooFuXL58OWPKRtLLBXS3gUXcRQvEmrEgd4vSMwkc3gjMWQmWDFBTr9dR\no1ayV3Ulsz8El3YCi5rAQD3oaAKyKWhvDNpU4lwToAXfLAX2jgC7AbwkyUFpHjKqwITatV7Y2D4M\nhTkHPE950jkgLq4it217n+TXJL/m0qVj6Opq48WLFxkbW5Ymk4E+Pm6sXLkUc12cSJF6XaNRsVix\n4MdiF3tcOBwOhvr5sT9E2tY6EGOf3oTowqSTrOfeADdv3lxg9f5XsXPnTnbv0p5tW7fkihUreOPG\nDQ4a0I+BbhrObQa+Xk1Om1nHDuUVXNdZpG+16iSXaBUY4wf6WkW3p42dQce7IN8DV7UHa8XHslH9\nWiwVHsAObZozJSWlsLubDwUxB7yyQDwHHDnyA9q1qwylUgGVSok2bSri8OHvAQD+/v64ezcTXbpU\nxd69w7Fz5yn06vUJ5HIl+vaNR0xMIHx9nfH2241w9epVrF7dFbVqhePdd5siLMznsTMTz5kzG6VL\nF8fQoR0xY8YMDLp3D1UAvGa3I8zhwD7c35n/HgCysjA5MxOT792D8+nT6NmpEwCgVKlSaNy4MUJC\nQgCIzFIpKSnYs2cPUlJSMH32bATVqAGFXA4tgG8hMkVkKpV4f8ECjJsxA3aNBrkKfTqA21lZ+PPi\nRZzLyMAnAHYajTDbbJBLZQjgAoBwQUBpEqEAKmVn4+yvvyIrIwMqEgKArIwMdGzXDq2SkhAREoKi\n/v7QOxz4EWJ27KMAbACiIWa91gP4HWJ26ysQt8AFADlSnSShVquf5KN+Ygx7czSyLeURNlSDtT+o\nceW2gAgf4MR54FYa4GwCao0CJq0CJq0GHLx/ryAGbDxxtuCXDEUBZJM888C5oxCJuf6KcOnag+Vc\nBUF4MhNcAeLo0aNwksvhDfG7UxRAdloazp8/D5JYtGgRenbrhvfeew+ZmZn/8rQXh6pVq0Ku08EB\naadco0GVKlXyrnt6euLoyZMYOn8+Xp83D8dPnYKPj88La1/jxq/h7be12LSJ+OknoGdPQKUCjh0T\nZym7nfjmm7uw2XJw4sRdnD2bAUFwoGtvP0R3LgJtSQGxsUBUlBPWri2P8uXdcPjk/ecf+hEwW21w\ndnbGydO/QFDpkWFXIjI6CBOm1EbbSQKGzgXaTgQWbhUtEH49lEiTueLYsRX47exmfH0rGIHDFei3\nFGjrBlzJBDp+B2y+BLz2NVAsR9SMdzcCxsYAPgYxm3kubgBQCEC0J/DjkW9f2Ni+wqPh7OyC48fv\nZ0Y/evRX1KtXH56enjhw4Bt89NFCREZG4dChkyhfvj30+ooICKiP7Gw74uIiYbffw4wZ0wusPYIg\nYPr8+ZgDoDyAHQBuAngPIothPwD3AFwFEBUVVWD1/hexevVqtGqaiKCbC+F+fTn69OyMjxYswMnj\n38PDrxg23K4Ge3g3rNmwBetOKJCaLr6DJzcAsqcDn3UEfroMfNgC0CqBpAWAcQgwaQew6oQGPxw+\nikjuwJy6v0Fxbg2SEqrnKrn/O3hWDeRlEBSSBeJRfmvdu3dhr14JdDhW0uFYya5da7Ffv95519es\nWU0nJzMjIvxpNhvo4mJlQkIJduhQieQCkgu4YUNvms06pqfPIDmHDseHDA31YHJyA546dYpLly7l\nvn37HhoAfO7cOdpsJp45M5AOx3hqFDIuALhSkniNhgqI2aO9IQZHJz1gkRgLMMhLTIDicDjYuWNH\nBnl7M8TPj8H+/vQ3GFjCZKKbkxMb1q9Pi1ZLH6ORFp2OIf7+jK9QgYcOHcprT7fOnemp17OsSkV3\nvZ7Bfn4sJSWxKwFQK5ezSePGNOl0DDMY6GMw0NlqZRncz1adBFCnUDACIgNFM4Ah0o6MDiI7TWmI\nQWc6iHEONsnSUEWSCIhxDzqpz56S3gCAKrmcAf7+L2Qn2eFw8Ny5czx79izHjRvHsKI+9HSz0MPV\nSINGTChXwk/027YYwL5Nwc+nggmxoIdNxqmTn81/GoVrgagI4M+/nOsEYNdDyv4KoOYDxwqI7LxF\nHvHsZxqXx8GxY8do1enYRvpeNgeoVal48+ZNdunYkT46HSMABmu1jK9Y8bkxtjwMdrud58+f5507\nd/42N+Xk5LBTx45UyOVUKBSsU6cO792799zb9CS+vevWrWNMTBitVhkHD1Zx6lQ1nZ0Ftm2rYalS\nWprNcrZpY2Z2dihTUoqxZEkN4+JsHDIkkG0by2gyytinTxjJNjx/vhF9vNSsXQlsUkdOg15Gk0nD\nkJAAWq1qvvNORb7/fmW6uGi5a1drLlyYSK1WTrlMTDhnMhlpMeu4ePF45rL17Ngxh1azgSY56KED\n13YFe1YG/Uygu0K0dqrloJMaHF8WjPMULRKtAY4C6KkA20SCvhZQIQNTU1Of06j/OwpzDnie8qRz\nwE8//URnZyeGhfkzMNCbNpuVv//+e74yDoeDZrOBo0a14+3bm7hu3XjqdBqOGtWeAQGebNiwwRPV\n+U9YvmwZzRoNDZKFfAbALZLlXCdZ020APWQyjnxILqPnif+lGIiUlBSGBXlza1+Q80TpX0Ogs0nB\nMYng7Jags0XHo0ePkiT79+9PbyvoagQ5875UDgITI8DmZcB774K/jwN9rGCArxfLFTXmlcuZDrpa\nNY8k4Pj/GgPxKg/Ec8C4cRNQtWoVREePgMPhgCDo8NlnM1CvXm3s3LkHer0e/foNRGJiIjZv3oxF\ni2bAy8uKrVuPo3XreXB1NWHJkm/h5xeIOnU+QPfuVbBz5ynIZALWr1+Hfft2oVq1UBw+/AeqVUvA\nrFlzIQhCXv1nz55FaKg7AgKcAADt2pbC5I9+QHMS5wUB34sTLVpAjAU4AuAkxJ14uXRskeIs3n/3\nXWxYuhRtMjKQCWChdF8kgD2CgK0bN2KwwwE1gP2CgKtWK3bt359vPGbNmYN6SUk4efIk5HI5hg0c\nCGcSnwFwAhCbk4OD69cjrkYNNG7eHIIg4O3Jk3H05k0YIfq8HNbpYDEYYL16Ne+5TgB+A2CS2gMA\nbhDzSHgBuCxJboaMyxB3jTMg5oe4DMAi/Z9C0fqQlJSEtm3bolmzZvnGtCAhCAJ8fX0BABUrVsSI\nESMAAFXKR6JB6FGM/BQ4cxmQCUB6BvDZDuDHM0BODlC2mAOzZ3+Aga8PfW7te864C/EjexBmAHce\no6wZosL3sLIAgHbt2sHPzw8AYLFYEBkZibi4OADAnj17AOCZj1u0bo1Vn3wCnd2O6xDjC+x2Oz7+\n+GPUtNuhBOCZno6l33+P2bNno5cUa/Ak9R07dgxTp06FSqXCmDFj4O3t/Y/lf/75Z1SuUAH37tyB\nnUT7jh3zxiQuLg4ymQyvtWqFJk2bokKFCtDr9QU2Hv90fOTIkccubzabMXHiTCxdOh+bNqyEkJMF\nNydg1So7oqIqwG7fh4oVtVAoBFitclSposXSpbfw9dcpsGcTRoMM8+adRnKyN4oVM8G7iBHHf5Pj\n9q10VCtL3LyTgUMnf8eUKRXRo0cJ7NlzAR06hOKDD75B8+YRUCsJlVIBjVqOW6np0KqALZv3oXXr\negCAtWt3IctuR4v2NfHJx9swbjNw7S5wOxNIKA60iwKu3AUGbgDGfw9YKfrcrZIBicWAvkUAlRyI\n9gGGbAW++eYbKBSK5zr+ucd79uzBokWLACDv9/EKokVdpVKhUaMqKF26KCZMWIIuXTph7dr10Gq1\nAIAzZ84gJycHo0a1hSAISEqqiJiYUOzceQh372YgMrJ0gbQlPT0dXdq3R++MDCyDaCUvAWAagOsQ\nA8CsED0GvBwOzJs9G2PeeqtA6v4v4dixY6hTMw7Z927BZrh/3sVAVAu2o3IQEFcMuJJ6D0s+/ghT\np72HChUqYM/6OTj9xz38eQvwtACp6WJMhEYJrO8KaFVAESegbxzwjRCFk4d2wuEAZDIgPRvIzHY8\ndw+HF47H1TQgeoCshpinq6d0rg2AqGfVYp5VUEgWiH9Ceno69+zZw7179zIjI4M1a1ZlTExRBgS4\nsk2bKnRxMbFt29a0Wk0cNqweJ01qQpvNwPbtK1Iul/Pbb7/l0qVLWby4D5OTI9m/fzVeuTKFKpWc\nR48OIzmTd+++w6AgT3755Zf56r5w4QJtNjOPH+9D8i3u2dOJBq2a5YoXZ1KtWkxKSGB1yQ86EmK8\nggb3aVvVADUyGe/cucOyJUqwJ8DpkjSHyHA0S/LLNOE+reubEOMSmjZowGYNG3L//v0kyevXrzO+\nYkXKBIFKgAkQKepMEOnp+kBkfdEolfTx8KBCaktdgF4AjYLAirGxHD92LN2USjaQLBI2qd2eAJMl\nSYQYOxECkdI1l20p95kh0v+QdnQUuE/zmpvhUwBYuVKlF7Z7bLfbOWrEG/TzstKiAw0a8MAkkOvA\nJf1AvRqM8APb1QRn9AKDvWQcOWLoU9eHwrVA6CDqcA/GQCzGo2Mgxj1wXA1/sV78pfxTj8mTwOFw\ncMeOHZwzZw6//vprkmK8kUWrzfs+9wEYaDJx+/btT/z8ffv20aDT0UUQ6KJQ0Mli4blz5/7xnvDg\nYNYTBI6DmMHWptPx4MGDT9W/wkaX9u0ZLJdzgPSb1sgENmhgZViYitOmuZEMY3Z2CIsGKyiXiyxN\nLeuD2afASa+DRqOSRqOGZrOSQQEabp4N8oQoRQNU/Pjj6iR7k+zNlSvrMDzcmQa9gnqdkp9+2pgH\nDnRi6dIeDPWV08dNzdeaV2WHdgnUatUcODCRRYt60mYz0SAINKhAixbsVh5MLg7G+oLeFtDHAvpZ\nQZMStGjAZc1AThClTyzobnu8DLXPC4U5BzxPedI5YMGCBWzSpDrJ/ST38+rVz6lUKli8eFieha5b\nt65UqRT8448VJPcwM3M7vb1dqNWqOW7ck2dvfxTOnTtHN52OX0BkEpQDbCS958oD3AFwp/T7tgL0\nttkKrO7/EsqVDuNH7cDxDcBoP/DAUHBtD9CoAWc2B/mhKG/WBV8f0I+k+I5OqluD3jYlXQxgq2jR\n0uBjAUPcwMVtQM4EHTPAljFqjho1kgFF3BnoKrB2KFg+WMt2rZoVcs/zoyDmgCf5YY4DMABAMoAJ\nAD4FMPhZG1AQ8jIqEA/CbrdTLpfTxcXE8+c/5Lp1gzl/fnfqdGoOHlyX5CKSi7hsWTd6eFg4aFB/\npqen86233qJWq+HkyQ2Zmvo+Bw+uSa1WSXJmnjRqVJbLly//W53Lli2lxWJkSIgXbTZzvoCrd995\nhyUlzveBAEvLZFRIk1aIZHJ3Bzh9+nSWCg9nCYANAE6CGNRVUjKtVpHLaZHLOV5SIGIBagWBDaSF\nvEWn4/79+xkZEUEPQaAnwLIQqV6bQaSiy11stZMW87kB0FqANSXFIhFgdMmStNvtbNKoEQVpci0q\nLfhVQF4OCFdJIZABtEgKhlZqWxzERDy5CkQuratcUi48JTEAVCkUXLRo0Qv5fgwfOogVw3T8bhw4\nIgmMKQZy3X2x6MGooqDjC5DbwIufgmqV/KnpfAt78SDNHUslZaIiRDff0IeUqwXgTwChEDffdgN4\n6x+e+1TjURDIyclhZHg4yyiVfA1gZZmMHs7OTxXwXi46ml64H+zvIpOxV8+ejyxvt9spEwSOAThO\nkhitlrNmzXqWLhUKcnJyqFYoOBvgEklKy8GPPvLkN9/409lZzvLltfTxkTO6FHjrNzD1LFitEjh+\nAMhfQTcXLSMjQzhrVhSNevD0RuQpEC3rglarmmvXJvDzz+vR3V1HtVJggAc4cGB5kmNIjuHp071p\nMCi5uB/oaZNTLhOoVslpNGqoVitpUys5E6IrkkEN9q8B9qkGGlRgESdwbRfww+agTgWW8xPPD6gA\ntisN6pR4rskIHweFPQc8L3kaBaJp0/sKxLVrG6lSKajVqti/f3+SZNWqVdiqVQ36+bmzf/8mjIoq\nRpNJzytXrjxRXf+GzMxMulksHAuRREQNcZPNIm12jQU4B+A86XjYkCEFWv9/Bc5WAy+9DebMASc2\nBH1toItZyUgfgYEu4LKO4LtNQKtRnS9hZ05ODjdv3syhQ4eyffv2nDhxIt977z02adiAFoOarcrr\nWT3CwMjwYNapUYX1S2u4oivYoixYxMOJ6enphdjrv6Mg5oAnCaKeRvIdkmslS8RpklMAQBCEhoIg\n9BcEYbkgCKOe4Jn/r5FrIn4YsrKysGLFCsyZMwe//vordDotPD2tqF17PN57bxNWrToImUzAvXsZ\nefc4Oxvh5OSCceMmoFq1Kvjqq1Xo27caJk/+Ak5OA7Bq1SFYLFrMnr0PAHDkyB/Yt+9nlC79dxNq\n8+YtcfbsefTpMxzxsZXw2eLFOHLkCACgQXIybmi1GAlgjkyG4w4HFAAqA6gCYBtE154DBw7g51On\noAZwEcB4AHsAnAIwTK1GZsmSqN2wIaZptZhhMuFHpRKJJMoCiAVQ+d499OjUCWdPnIAPiZsADkF0\ng9oM0Q/lIEQK2I0QV4lVAJQBUBpiMDYAXFIoEFS0KORyOZavWAFPV1e4QHRhgtTWawCOQzSPWSBS\n4LlApJaldO07iIGMdoiuWmogz4dPAPICvWUAaLfj119/feTnW1DYs2cPPlu+BLPb3ENUANCoLHD2\nMnBbYgf85U/gXiZgM4kBXJduAIkjAbUiB36+Hhg6uH/ui/P/E3pCVB6uAvgEQDeSJwVB8BEEIVUQ\nBG8AIPkFgCkQFYezAM4AGF04Tf5nyGQybNu9Gz61amG71Qp5bCz2HjgAs9n87zf/BampqVA+cCx3\nOHAzJeWR5eVyOdxsNuSGgmYB+JV8KVxV/mmOfBQEQUC+b7QAXL6cjUaNziMgIAc//5yOO6k5GNoX\nMJsAoxHo1w3YfwjY8RVAKBEQEIDbt3PQtJkv+k2RYcVW4OARYNtXQJuETIwdsQNtWm/DtWv3ULZc\nDC7eUCAl5V5elTdvZkAFAd3nqTD4zSbIts/DVweGAQBkDgc+yszGRBWgVgDtKwJ9qgPLvgVcTcDy\n9kCDkkDXSsCAqoBeBezrD2z8BVh+DAgMLorWrVs/28C+QoEgMTERBw78hJEj52PDhv1o0OANdO+e\njKlTe2HJkkUgiaJFi8HV1YqPPhoCDw8bgoO94OxsQ58+PZGQUBMDBhTMHKxSqbBuyxZMVatxDeIE\nOQTA6wBUEF2ZxgAYDtEdxOUp6JyfBU/zW34Z6yxZPBwfHZDj5yvAyUtAVo4c97IErOtJjE8CZu0F\nPvkGSG7cAuHh+bk9bty4AQEOlC9fHndu3cCGVUugVSuwZfsexHf8AB2Hz8OyVRtw6PtvsKpzBppE\nAUs7AbKsFIwYPvyF9vOF4Ek1DgA1APR/4DgAQAfpfw1EoptHJoZ6HoJC2nl8VOBLRkYGK1Uqz0qV\nSrJ9+9p0drayd+9e1OnU7NatJslVJFfxzTcb02BQs2RJH372WQ+GhflwxozpXLZsGePiIuhwzCe5\ngD/9NI5ms5bJyaVoNutos5mo12tpNhu5cuWKR7ZvxYoVdNXp2AdgB4BOej137txJk1LJupJFIQmi\nK1O1B3b8xko7HL5ubuwDsD/ADyG6LsUCDPL25pUrV/ICuH/55Rd+//33jIuNZQuImVgnAGwIUCMI\nbCtZAjQAewAcA7ApxCQ5EcWKUSMIdIaYrTrXIlFN2oHxUKvp5+3NP//8M69fd+7cYXyVKnS1WBgS\nHMzYsmWpUiioVChYt04duut0LC5ZJjylvuRmpnYHGCgdq6W+q6VrJoim4VwLxrDnHKR25swZNkhM\noKezlqOSQS4VpYw/6GYBE8qAZj04qZ14PLM3GFcCfL056NgFXl8HRgTpuWrVqieqF692H58JOTk5\nPHz4ML/++uuH7io9a0Dc6NGj6aTTMRBiNnejTsf169f/4z27du2iRa9nhNlMV52OtapXf6EZ1h+F\npxmLPj16MFSat+rlWhiLKzl9ukjzmp0tY0AAOKgXyOuivNEPdHdV0MXZyN27d/PMmTP08XFjjRp+\nLOKjo0Yt0KADF44FeUyUdklg2wSwWeMELlu2jDqdkgMGxHL69AR6u+jYTQB1agVziS3IBaxVK5xy\nmeiuadOAnhZwfDI4uzXYrgJYwhv8sj/ygiffqCm6OvSJAyfUB5Uy5JvLCguv5oD7OHv2LG02C8uU\nKcapU3vQbt/L3bs/oNVq5PXr13nx4kX6+vowISGGiYnlqdWqqdOp+d57Pblu3RgGBHhx0qSCSwzY\nokEDukFM3rpTkmEQ3Zg2QbTQuwIv3ML4vxJEfe7cOQb7e1GnAscmgx93Br2dBLYrD3IeuGMAWLOE\njrNnz853X6d2rzE6WM+xSaCXk5w1w2X8og84sp6cPh7OvHbtGknyt99+o80op32O+DzHXLC4F2jW\nKV5oP/8NBTEHPOmPswWA1n85Vx/A+QeOVwKY8awNe8J2FcyIFhBVGjZDAAAgAElEQVTmz5/PmjWj\n6XBsIbmVX3zxFkNCghkbG82lS/syV4HYsWMkK1YsxsmTW9Jo1LJevQQ6HA7Onj2bHTrEMfellZ7+\nIZVKOdPTZ9Ng0PL8+fNcsGABp0+fzh9//PGR7YgpXpyjpElnE0TXpABvb9oAroDIyLQCoitR+QcU\niAkADQoFbQYDx0jKw4eQYhLkcnZs0+ah9X366ae0aTRsCTFWwqrVUiYIrAowCKLL0ZgHRA1w7969\ntOp0IpsNRHel5tIEaTObuWHDhsfK6Hjnzh1mZmYyOzubVatUoZvBQE+NhgqZjNHR0WzXrh19BYFV\nILo65eaFUEmKDHA/WzUkhQLAvy7cnhbnz5+nu4uZI5JknN8e9LCADaPBXjXFmIc5XcAAN3DJQJCb\nwGMzwcgAUK8Bf1+OPM76se3BN4Y+mSn71eLh6ZGRkcGqlSvTWa+np9HIQF/fAl8Q2u12DhkyhG4u\nLvT29OS8efMe674///yTGzdu5LfffvtSKA9Pi5ycHL49ZQpdDDp6ucg4d66VJhN4+rSMpJyknMOH\ng842sHIsGF8RdHM1cuvWrfmYjVJSUrhmzRpu3LiRaWlpNJu0/PlzMPMQeHQVGFwE9HAGw4p50dfT\nk35qJfU6Jd10So4EuAGgXinn8eNjSC5gWtosenlZ2Lg8qFGA4T7giEagRQf2rQ7WjgDntgF9ncBP\n24PvNAKdDeCB18Xy7kYwONC/sIY1H17NAfnRv39/+vt78PTpT3nx4jpWrlySOp2GGRkZJMV8SDqd\nhmq1gmazjtWrlya5g+QOHjkyhwEBvk9V78MwZdIkOgkCBzygQPSDmHNmK8ChEOMCcxesr/DkGPnm\nCParJSMXgVwEfv0maNYJrBdlYkl/A2vEl8/HyHj27Fm6WDS8OwNMmwFqlOC9D5AXL1ExCHRxMvHY\nsWN0OBx0txnYNArc2hfsXRUM9xTf6y8TXqgCAaAdgPp/OTcBohdIxAPnDgDo9awNe6JOvGQKxFtv\nvcXBg5uS3EpyK69eXU6r1cx3332HlSsX5+3bi5me/imTkqI5ZEh9ksvp6mri2LFiQNapU6fo7Gzh\n5s39+Oef09ihQyVGRHixZs0wGgwali5dnFWqhLFz58p0cbE+MvlZdFgY3wK4DuAqiLSTVq2WZoCf\nSgrEMmnnXQsxDmGQtGvvDjHBWihEn+r+EC0IFcuVy0si9yC2b99Oq8FAk0pFnSCwVGgoN27cyMTa\ntekuk9FfqmeIpDx0kxbpSrmc3m5uLKlSsaJURiOTsUmjRkxLS3uq8bfb7dy0aRMXL17MM2fOkCSX\nLFlCN72elSBSuoYAVKtUFCQlwucBJUIjnRMAGg2Gp2rDPyEnJ4c1a1RjpyrIN4GZNGC4NxjlD9qM\nYNkgsG01MOdz8N4asFpJ0KQD5w0CuRvM2g5WjdJx7ty5T1T/q8XD02PihAkM1GrZAWIiudIKBZMT\nE597vf9FlCoVwVGjTIyJUTE8XM5+/QQ6HDLevClj6dLg4MEqms0Ce/XypNmsyeevTIo7jcOHv8GB\nA/vx4MGDnDH9fXq5q+npAtosovLw+TRw2Xjxd2VQiYGUaogW2+EQSSZMRg2bNy9LPz9neruq2a+e\naEm4vgjkanDTMNDFJMZCtCwHlg8C/W1g63LgkRFgyjRQLgMDfT1eCHXu4+DVHJAfdrudJUqEU6/X\n0GDQ0maz8O23p5IUkywGBPgyIaEsr11bzaNH59Ld3YmrV49icnIFKWZCzfnzH0/R/zdkZWWxUkwM\nNdJ7spu04TVV2ggsJ2167dq1q0Dq+y/izRHDObSukPf+PTIW9HI1ccWKFdy+fTuzs7PzlV+5ciUD\nPTTkPHBkPYmG+T3kKRBVi4G9q4FFA7xJkq+//jqNajDSG2xQEqwUBAb6uBRGVx+JF6ZAAGgEYC2A\ndwB0A9ASohv7XxWKSACnAWiftWFP1IlCUiAeZXb68ssv6eXlyp9+msvMzM/ZvXsik5Pr0263s2vX\nTlSrlVQq5WzUqBzT0xfz6tW51GiU+ZhWduzYwbCwYOr1arq5mRgd7ccJExrQ09NMk0nD9u1jeO/e\nu9y9uy8DA4s8tB2zZ82iVaGgQppwdJJS4Akx6LgTxCBNPUSXHY2kOLQEOB+iZSJKuq4BuHDhwofW\nc/v2bVoMBnaTJrneAM06Ha9evcrBAwfm7fL7SM8qIi3Qy0k7K546HavGxbFMRARbNGnCy5cvF7hJ\nz263M7FuXTrp9fQ2m2k1m9mjRw9q5HJaIDJdAPmDq3MtE+PHjy/QF//kiePp6aTggFrg7iHiBPZa\nLBgVAK7pBw5LEoMv4+PjaNCI7ktOBjE3hFYFeriaWTXazBB/AxMTqv1tsvs3vFo8PD1aNW/OCsif\nnyQkICBfmcIwR/8VL0MbyGdrx6xZs+jjI6e7u4yXL3uxXDklXV0FqlSgpydotYKffx5OsjL79fPh\nhAn33UjOnj1LV1cL+/YN4PjxITQYlPz8888ZW644R3YWWLkUuOV9kN+K8v5AMMwfnDkQNOnF31mQ\nF6jTgE4mgUqljN6uClYJF3+bMgG8sQg8PwfM+gysUQLsV0dkUGtXEXQzgaMTwc97iEwvbV5r9szj\nUZB4NQf8HXa7ncuWLeOUKVO4Z88ekmRqaioDA/3o4mLmTz8tYK7VYeLEjvT0tLF162rcvHkcjx//\nkN7ebgX2+X755Zc0qlQMw/2AagtEso8yEF1vo4sXL5C6Hhf/Ky5MJPnjjz/S2arn3HbglgFgqCfo\n4SRncGARdu7cOV928Q9nzaCbk5bOBtHNKdAFbB0DxhUFl3cCu1cGQ9zB1Bkiucndu3eZlZVFXy8X\nKuWgVgmatUIeK+WL7Oc/4YUoEBCp9YdK//tDzAZ7EUDLv5TTAFgPwPdZG/XEnXjJFAiSnD9/Hs1m\no5S0qSZv3LiRdy0tLY0tWjRlZGQg+/WrSz8/Nw4dOvihz0lJSaFGo+L+/a/T2dnA0aPr88SJsaxX\nryTbtYvhjRtTaDI9fJd8yZIl9FepuBzgRmnnvRJEd6Jcq4O7tNtWTFrcLwS4SJJAySIxEKBJrX4k\n68SRI0dYxGTKo3OdCjDYbGbv3r1pkMkYLtUXJO38l5AmxF7SLl88wH59+jz22D4tHA4HDx48yC1b\ntvDatWtMT09n6VKlKOB+jIRFaquA+2xNSoBajYZLly4tkHZElQjmko6gSQu+XgfcNkjc0bg5F3lx\nENXCwdq1a7NicS1DvUGrHkyIAo06BXv17MG2bdpw9erVzMnJeeL6Xy0enh5vT51Kf52O1aXdaW+5\nnI0b5E8k9TIsEl+GNpDP1g6Hw8GOHVtTqxV4544Pc3KKcNkyG7Va0GwGzWaBmzZFkKzMdu28OW3a\ntLx7e/bsykGDAknWJ1mfY8cWo5+vM/2KOPOXtWB8FLh2CvIUiEk9wa5JYOo20GoEv10A8iB4+jNQ\nrwV7JoLVS4EKOehlEV2StCpRubcaQJ0C7FxVvBYfAk5rDga7ga5mBQcPGpBHCf2yfC6v5gARt2/f\n5pgxo9m1aycuXvxxPte/e/fusVq1OCoUcprNeq5ePYq5CkSLFvFUqZT8448l3L17MsmtHDGiJUeN\nGvlE9T8K7Vu2ZBfcdz9+EyLFul56b6oAhvr6Fkhdj4v/JQWCJL/66iuadQIrFgVbxoLeVnBcYzA+\nXMbQor5MTU3lrVu3aNSreWYKeHYqGOAiuiva54FTm4D1S4J6FXjlXXDfENGN6fLly6xUIYahngJT\nPhDLdolXsU3LxoXSz0ehIOaAf00kR/IKgEnS/2cBlHxE0Tch5oe4IAhCEMnnT2FTyMhN2PNXZGZm\nYvPmjZDJBJhMeshkMmg0mrzrGRkZaNOmPQ4dKgFBEDB7di/Url37oc+yWCyQy+XYtes0mjSJwqhR\nSQCAhQvbIyBgKHQ6DeLjKz/03v27d6NWVhYs0nEziB/kDIiMRO9JogRQHUBHiNyalQEchpi8RgNg\nu1wOD09PODk54WHw8vLCzawsXIPIfHQTwIV79/Dxhx+itsMBO8SEbzcBpED0eSuJ+1nBLmu1SAoI\neKyxfRYIgoCYmJh857797jv07dsXM2fOhBkiA5MMIkNThvS/CuJn1rFDBzg5OT3ys3pc6HQ66FXA\npIbAiHXAthPiODyYF06pAE4c+wHpdzJRriiwfjiw4TsBX/6YA+3l2UC2HF07r8GxYwPh5+eHJk2a\nQK/XP1O7XuHf0advX8yfOxf7f/kFngDuOhy4eu0acnJyIJfLATyf7+6T4mVoA/Bs7RAEAfPnL4bd\nnoWaNbciOVnA2LG3sPFzoGpV4OBBok7Cj2ja1BO7dtkxeXKrvHtPnvwJ9erdn3OrV3fBtGlnUC6q\nLFbvTkHf5g50nwRcvQmkpgHjFwL7ZgJ/XAVcLEB0mHhf0SJAiC/w03ng0C+ASQdk5gAyOfDVZCAy\nANjwDdB8KnD4S6CeHTiWCsy864xWnTtjyBsjoNPpCmQ8XqFgkZ6ejipVKiIszBXlyxfD+PHDsXjx\nx9i2bQcEQcCwYUOg02Xi5s1V2Lz5O7RpMxlffPE9zp27glOnLiMw0B/Hjp1FQkJZkMSxY7+jZs3y\nBdI2QSaD4y/nnAB4A5gJwEUuR/kX/F0qjO/u86wzIiIC2Q459g23w6svsGUwoJQDwe4OTNv8Oxo1\nTMLMWXNgMykR4CpyNE5oDLz1OWDPAQbVBorYgH2/AFXeVuP6PQXmffQxypeNhFm4jC6VAav0Su4V\nl4Wmiw8WSj+fK55VAxEVGXSFyNzpBjEJcLeCeK70bCtE96m7EKkc/8bwhEKyQDwKo0ePZGJiBWZk\nbGZW1lY2aRLPwYMHkSSPHj1KDw9XxsWVYnCwDxs2TPrXhGUtWzZjkSI2JiaWZG5g9bFjY6jVKpmQ\nUOOR+QDGjxvHeLWaWyAGX/WU3Ic+AdgKYpK1VQBXS3/dIOZhcAKoEwS6OztTKwj0lsvprdezSkzM\nQ1lnTpw4wQrR0dTLZHRSKqkTBDpptXwN4GRJ6ksWCC1AvVpNJ6OR4SYTixgMLB8dXWgcyampqdRp\ntZRDzP/gJEmu+xIkc7ECohtXs6ZNn7nOLVu20NWq44RkMLEkaNEJNGrB2GBww0BwZLJonSjhK+O6\nQeDoxuJup82iZqda4LLBoph1YIcactYtp2eJ8MB8AaT/BLzafXxqpKWlUaVQMA5gLYA1ALoYDK/8\nkZ8jcnJyOHfuHDZpksTgYDXpQJ6UKKHka6+1yBfIfunSJWo0ctqclNy+PZaHDlVmdJSRarWM/fr1\nol4LBniBZoOMNouc1aJAJxM4exC4Z4ZIVJBrgTi1XHRjMurAk/PF4EmrHiwfAnKDKGfnib/XORAD\nr/0AVihbthBH7N/xMswBj/Nuf6Bsf4iM37cAzAegfES5xx6D1atXs1KlEnlkJ1euLKdCIefkyRNJ\nkpGREfzuuw+YG8s4YkRzWq0GxsSU5e3bt7l9+3Y6O1vZpUs91qgRzejo0k8dt/dXfPPNN7Rqtewh\neQAYIboeqyGyMMUIAt2dnPj7778XSH3/JWRkZPDrr7/m4cOHWbZ0OIfVl1GvFl2NjBqwbiTobgZt\nRoELFy6kt4eNy7qBXATuGQoaNAJ9nMDqYaKr4tKuoKeriRcvXuT69evp7yLQqgfrFAdz5oFcAL7f\nEqwZX76wu54PBTEHFMQkUAEitX4OAIf0t+GzPveB5y+TRCvVdQt/STpVWArEo8xOSUl1uWrVSOaa\nOzdvnsAaNeJJkrGx0VywoBfJdczMXMlKlYo/MraAJFevXkU3NyfWqBFOk0nDqlVDOXlyY/r5uXPm\nzBn/2L7z58/TqlbTX1IMNILAkIAAWvV6lgwJob+nJxsIAqdCZD/yliRccjMyyOVsIJdzGMCPAZbV\naPjWuHH56vj555/pZDAwWRBYDvczOxsBtnhAgWgAMclcvTp1ePz4cV65coVr1qzhtm3bmJWV9dhj\nW9A4deoULQYDvSVlQS31ITeYGpK5WCaZjzt06FAg9R44cIAD+vViyxbN+Ntvv4n0unoFi/uA0QGg\nUg5e+hDkclFaVNLQ2aJmMS+wcXnR13pEU3EB41gPNq+i5tSpUx+r7pdh8fA85EXMA1evXqVWrWZN\nSYGoBdDXZOLatWvzyrwMbiovQxvIgm3HtWvXaLFo+OsvIB3gH+dBm02TbxGVlpZGJycjE+JAV2ew\niLeCfj4KOlvBhDrVGF5Uz583gnsWgtViVaxVK56uTgp2SwYtRtBmFhUIrRoM9M79K+PJ+aB9i+je\ntHqkqLxfWQxOeA00K8SNmdy5oyTA7p06PffxeBa8DHPA47zbpXK1JOUhBKLhejcekrmeTzgHLF26\nlHXrlmOugpCRsYFqtZJlypQkSdasWZVTpnTkypXDuW3bBLZuXZV6vYYJCXX4zjvvMDU1lSdPnmSf\nPn24ZMmSAg+QX7p0KXUAAyAmVPWAyKS4EuBo6Z36KEbE54H/BRemP//8k+HF/Fgi0MgATz3jK5dj\nsUBfFnMXlYfTb4O7h4M35oDORvC1lk35ww8/0L+IG/VaJZ2tRrZt04ZNy8q5eQB49QPwxFugr5cz\nSXLQwIH0cQK/HgWWDRBjI2IDQYtByZ9++umF9fNxUBBzwL+6MP0bSH4FPPtzHgZBEHQAGgIII5kO\n4CtBENYDaA1g2POosyAQEBCEbdsOo2HDSgCAbdt+gM3mjIYN6+P48ROoVasbAEClUiI+Pgy//Xbm\nkc8aNWo4Pv20E6pWDcPNm2mIiRmHjRsvYdasj1CnTp1/bMfoN95AkN2OkxCTtEWSWPPHH9h14ACi\noqJw6dIl9OrcGQuOH8edO3cgu30bAQ4Hukj398/JQSTExFQyAOEZGTh94kS+OhZ+9BGi0tLgSWIv\nxKQ3ZohvhXXSfXYAuzUarFm7Np/7T3Jy8mOO6PODj48PciAmlnODmNlMBTEZnQCx/fcgujTJDAYM\nGjSoQOqNjY1FbGws9uzZA39/f/j7+2PH7gNYsmg+ZHI5TsydCzIHJPDWWmDDNxnwdAaOfgColcC+\nE0Dzt4FxrUTXpwifTFy/eqVA2vYKj4azszOCg4Lw2+nT8LLbcRPAbfJvrnGvUPBwdnbGlMnvIrb8\nAERFKfHDD9no0qUnzp07B5PJBKPRiFGjRoG8h2spQNVYYO93DmRmCki7B+zatQsjuhDBfkCwH6DT\nZCGh5zfIyszB8u3A+K5Az8ZARiZQsRtw6jyQZQe61nYgPQvo/oHospRcAegzE/DrBCiyxFVtLYjb\n6SMA/GkyYdAbbxTmUL30eMJ3exsAC0ieku4dCzGb/TOtAapWrYqePbth5szPERTkgfHjlyEoyCPP\nFbRNmw7o3LkDKlYMxfnz13Hlyi0YDGpER5vw9dfrsHDhfBw48A2Sk5ML1AXl5s2b6NGhA/bu2QMZ\ngF4Qk20tArAdwAYAnhBdjY8ePVpg9f4XMLBvN1QL+ANpGTn49Qpw8dfvkaNyR92SwLrvgaIewJ83\nAScDEOwO6PRmlCpVCmfOXUJqaipMJhPOnj2LmOg1iAlMQ2Y2MXqTHl279wEAXPj9NEYnA+UCgf0j\ngPe2AePWAROnvoPQ0NBC7v1zwLNqIM9TILI63f3LuQEA1v/l3LMqYwWKlJQUli5dkmXKhLJkySBa\nLEZaLAYOHJjM2NgQDh/ehA7HWl6/vpjh4f5cs2bNI5/l7+/DU6cmklxEchFHjWrAYcPeeKx2RIWG\nMgzgSNznk+4GsG3z5n8rm5qaylBfX3YCuFSSUhADnD8GuABguEbDjh068OLFi3n3DR40iLUhJn6r\nC5EKtrxkZtUB/D/2rjssiqMPv9f7HXccHQQEERDF3rvYKxbsoomo0WjsvcZuYjQmJtbEWNFYsMeK\nxhiNmthiL9g1Grv0497vj12wxAIKYvL5Ps88sLuzM7+d252ZX/d1dWXNSpW4efPmrA7jW8OWLVuo\n1+molEgogeBE7SQWg6iNsDo68uDBg9ne9/Hjx7l+/XrGxcVlnLt69SoNWilL+oGdqgmhXYc3BTtW\nR4bZRMpKIRLMnUXgn1+DeVy13LRpU6b6xDsgfcyJ8rbmgevXr7Na5co06fU0i7kgmjdt+sIgA++R\nvTh9+jRXr17NFi3C6e6uY5kyjnRxMbFgQT+6uUno6yulizNoNEq5fLk/9+wJZuHCWlqtcuq0El7c\nAvJPsEYZ0MsFdLLK6WCU8MpqkHuEMvwD0NcLVKul9HASHKVrlwDvrgTXjALVSkFD2RvgCFE63B+g\nTibLkXkiu5Hbc0Bm13bx/CEAzZ44tkCwdDA/p26WxmHDhg00GLTUalWsWrUQfXycWb58GdpsNpYs\nWZSLFvUiGUObbQXLlQvikCFNScaQjGHNmsU5ZsyYjFwR2YUqZcqwjlLJWQA/gRDYY4KoCR8IcLZo\nOmkAWKpEiWzt+7+OIiF5GeAG9qwDbhkKNi8rmCT6uwgaiGU9QC4C94wE9Wopz549+9x2jh49ylYR\nDVm3enl+O/3rDOf7jz+K4uAGUnI+yPng7A/AYH+PdzIvT3bMAbm+6L+UOKA8gGvPnOsIYPsz57Jj\nPLMVSUlJrFu3NosXD+S2bZM4fXoPOjmZuGfPZyxY0Icmk456vZYDB/Z76cvVu/cnDAsrxOPHx3HT\npr50cbFwz549maKhVZMm9IKQx2GaaG4RIk5ELg4O3LBhA+12e4YJUe/evemjUHAGhGhMxVUqulss\ndNZqqZVKaZTJWMxgoEWvzwhzd/ToUTpotSwM0ANCArimEDJWKwHu2rXrzQfzLeDhw4c8dOgQo6Ki\nKJdI6ADQJDIPUvGvRq1+KprWm2Lc6JF0sWhYo7CJZoOSRQsGsEGtyvzmm28Y5K3nlHagjxO4qi+4\nfzzoZgZPfSuYLI2PlNLDxUCNWkEnRwNnfDM90/3m9uYhp8rbnAdSU1NZMCiIQQoFKwO0SCRUy2Qs\nVqgQ9+3b99bo+H/F2rVrGRJi5IMHTiRdGBGhYu3aCtpsFtrtFpYuLeewYe4kS5IsySNHQujgIKO3\nt4reHhI2q6WmTAp6e8j4009FWa2KiaM7gdwD3tsiMBYOBtCkB53NMkYPA50dQJUCNOoULB4ayiiA\nO8TyOUBfgC5m82tFRnvbyO05ILNru3j+LIAaTxzLIZhL53lO3SyPRWCgP1euHExyHVNSYliuXEEu\nXLiQrq5OvHRpNtMZhuHDI9inT0OSMZw8uT01GiXd3Cy0Ws3ZZoLy4MEDquVyrsHjCExFAOYDWBqC\nv+IKgEvFdUkDZNr37T3IWtUrM8gDvPc9mLQItEULSVz3jAHDSwqmwVolaNSpMpLIJiYmcuvWrdy0\nadMrk9rGxcXRzdmBUVUV/KSWjFazjvv3738bj5ZlZMcckCOmR9mIRwCMz5wzAXj4bMX27dvDx8cH\ngBC5qHDhwhlqxR07dgBAth+nn3vedZLYvj0WV64sxk8/HcDo0Qtw585DVKo0CJUqheD48UuYNWs2\n/Pz8sGPHDkgkkuf2N2HCZ2jTpiXCwr6Es7MV3bv3RlJSEnbs2PFK+iZ//TWK7diBcbdvAwA6APAH\ncA5AmXv3ENGwISQyGeKTk+Hh7IyE+/fhlJqKruKz1a9SBbE//ogOHTrg57VrMSY5GcqHD7EeQPPw\ncNy4cwchISEoUKgQju7diwQAQyBEW3IH8EipxJkzZ2Cz2bI8vocOHULPnj1z9Pd73u85c+ZMyOVy\nzJk9GzabDVoIJk12AA+SklCtWjVMmTLljfu7dOkSvpwyEd9EJMKiT8T5UOCT6NP4qMhp9Ou/GxKp\nAhY9UDofsOkQ0LwcMKY5ENoDsBPw8nJD9PJojBrWD7//cQRff/UFKlaugqCgoH/0N3XqVBw6dCjj\n+3iPN8epU6dw/fJlhKWmYhcABxIV09Lw95EjqFKxIk6cPg0vL69co+/J+SE3kVN0nD59GlWrSmEw\nSAEAMhkQEaGETCaEMgsOluHWrdSM+tu23UdaGnH9egoUCmD3ER1cXO14lGTH3LlXMXVaMMqW3oPp\ny4E7DwGrCfhxDJCaBrT7NA2dpmqgUSvQv39XjPx0LLp36YLUZ8xHbkul2LB2LaRS6Vsfj38hMr22\nP6duegC/59XN8l7g0qUrqFSpIABg9+7j8PAwYfPmzShduhR6956Hjz6qiaAgT3z/fSxMJh30+iX4\n9tufcPr0Vzh79jpmztyChg3r4ty5i/hTNPF93bVh7969SLPbcR+CmuUwgGsQTGtTARyFYFp7G4J5\nbRqA6pUrY+/vv79Wf1k5fnbfk9P9AcLalZ17udLlKmP3rh1w7wLY7UDjksC9eKDuBECtAIwmM9pE\nRmHcuHGQyWRYu3YtPuneBdLUO1DIJHiYqsO06TPRuHHj57Z/4cIFfPn1LFy4cAG21FRMbumJR48e\nZYzb6+wls+t4x44dmDdvHgBk317gTTmQnCwAtBCiafo9cW4+nnGgQi5pIF4mdbDb7TSZjDx/fgE9\nPKysWbM4799fzcuXl9DNzUK9XsOGDcsxMNCbLVtGZFpqlVVJx+3bt+lltbIXwM0AO4mqT5VoYvQl\nhEzVjSDkaFgBMBpgYY2GgwcP5rJly9i2bVtWV6ky8kPMAiiXSjM0J4E+PhwEIXLRRIBfiaW8Ws3p\n0zMvGX+T58wOPNln+fLlKYWQJyO9yAFKJJJsUVlv3LiRYaEmxvYFOVsoeSzguXHgrLZg7eqVWCC/\nDyUSUKeSsEtNOaPCJFQrQIVcwvJlS9DTzcLx7aS8Mhf8prOEXu6OmZJG4b0G4o1x6tQpOmi1bCJK\nAtsAjBSLl1rNefPmvTVanod3xVk3p+jYsmUL/f0NvHlT0EA0aqRklSpyJidbmJZmYZvWShoMEvbs\n6cIpU/LQbJbRw0NFu70KO3Z0o14v5bBhnlywwJ/586vp6amks5OUWo2Q66FyMTA+FuQecN5QsFnj\nWk/1//vvv9Oi1bInhBj9bmo1Z86cmWvjkVXk9hyQ2bVdPESMXXwAACAASURBVL8IwOgnjqvhGe3F\nE9eyPBZhYVU4fHgr2u1refnyPHp4ONLb25Xt27djuXKlaDDoqFarOGLEMDZq1IBKpZzNm5cluZzk\ncm7bNoJSqYQTJkzIct/Pw4ihQ+mj0zESYFHRhKkohCiBhQE2gRDQwwTBjE4DMCI8PMeznOf2mpwd\naNOyMdtVltC2DLz5HZjPDSzgBdqXggu7g44OGm7bto1r1qyhp5uFSrmQxLVWKBhWEHQxgS2aNnxh\n+2fPnmXPHl0Z1aE1N2zYkGm6/q1O1Lm+6L+SQMFZapE44ZSHIOB+J6IwPQ+pqakcN24Ma9UKY/Hi\nQqhWs9nAX3+dxvSoTC4uDtyyZRTJGCYl/ciiRQMYExOT7bQkJiayZMGCdJdKOQBC0jYv0TxpGYRs\n1M0BrgW4RNwI1QDYAaCXVEo3pZLljEaa1GqaVCpOFhmIFlIpi4WEZPRTtWxZtpJIWEZssx/A1gDN\nOt1Ttv3/FqSkpDBv3rwEQLPIPFhFMyaFXJ4tJgoXL16k1UHLwyNAzgbX9xBCxyV9A05vBbZpLiQn\nO3ToEBctWsTKlSowv4ecByeApfzBIE/QwxFkzONSNECXKZOx3N485FR5m/OA3W5nzbAweqvVlIlm\ne5EA2wH01uv5448/vjVaMoOLFy+yRdOmLFe8OAcPGMDjx4/zyJEjTE5Ozm3SXhvDhw+kyaRivnwm\nurgYabFI6egooZOThAYDaDKCWq2Ebm4KarUSdvzQhWRVTpiQl6GhWsbFFaWzs4ITJ3px4EA3ujqB\nJzeD9w+C4dXBLuEg94BTPgHbtmpMUoieViw4mJ5WK2tUqcJGtWqxfrVqXLp0ae4ORhbxLswBmVnb\nxXo1IQjigyD4qscCGPuCNrM8FufPn2doaAg1GhU1GiUnTYrkw4dL6OHhzCNHjvDOnTsZQqO8efOw\nb98GzJfPjffu/UByOTduHEKLRc9Ro0Zmue8XYfny5XS1WOgAIex6UQgJ5D4UGYhmECIlloHgbxgK\nsEyxYtnW/38V+XxdefxLkCuE8nkk+HEtkMuEYjGquGvXLlrNGu4aA/q7gkPCQUaD9iVghUBQp5bQ\n0axjxXIlmMfdkXnzOHPK5M94/vx5uliNHNJYyq87gJ7OWi5auDC3H/mFyI454F03YQKAbgC+g6DF\n+xtCjokTuUvSi9Gjx8c4dmwfSpcOwpkzKThz5hzINBw8eBZlygSDJG7duo8KFYRMRSqVAqVK5cOl\nS5eynZY1a9Yg9cwZ9LTb8RmAPACaiH8BIArAVwBaAxgHIACAN4DNAFLsdkxNSYEyJQXHAEzWaDBU\nqYRKKoWziws2rl6d0c+XM2eidNGi8E5NxV8AvgGgkkhQPzz8X2k2c/jwYfx98yZkEFY0KQQTJoVM\nhomTJr3URCGzyJMnD6bPmIuKUR2gUxL3HiajRzXg+93AyI1arFjdG926fIA1K5fC10WBE5ceYW6n\nNGw/Brg7AsujgAI9gPvxgEkHJCYDF6/H46+/3kdiehuQSCRYs349Jn/+OZYsXIgtZ8/CPzUV99Vq\nGL28UK9evdwmMQN3795FmeLFEXDnDrzT0hD9xx+Y8tlnMGu1MDg5Yfsvv8Dd3R2AIFDasGEDLly4\ngCJFiqBs2exJjJUTGDVqPLp27Yk7d+7A19cX382dja+//gwSCaDRqtCv71mUKkXcvp2Kq1eBKVPj\nAQi/3aNHdixefAsREWa4OMsxbtxlDO4M5BfzWY7pDdSIBLzmAZ8tVmBr7GBcuHAB9WrUQKdHj+AP\n4Mfdu5FaoQLWbd2aa2PwL8dz13aJROIF4BiECE1XSG6SSCSTIDAOagDLAYx8k46vX7+O6OhoREcv\nxsGDhwAABoMGly7Ngk6nAQDkzeuGv//+GwULCuZNiYmJuHTpCiZO/Bx2OxEc3Avu7macPn0NEokM\n9es3eBOSnoKTkxNS4+MRACHGrQTCIDUWr68FoAPgC+AvAJEAuv/xB27fvg1HR8dso+O/Bk9PT/xy\n8i8EeRIksP0oUNpfuHboApBGKY4dO4Y6RaUoHwQo5UCFQOH6ol+AG/eB3ycQWmU8Gk/ej0ahwAeV\ngRZfjsCOnTvRuvQjjIkQUgAGeyag9/jhaNW6dW486lvBm++Echgk75IMJ6kn6UNyaW7TlI4n7dcA\nIC0tDXPmfIdbt+7g999PwmazIS0tFa6unujffxYiIkYjLKw/9HoNpkxZA5KIi/sLK1fuwc2bN3Hr\n1q2n2iOJlJSUl/b5MsTFxcEhKQkVIYS3uA4hW086LgG4I5VitEyGOACjAdQFUANAPgi2/4BgZ/ko\nKQk3bt3C8fPnceL8eeR9InN0SEgIggMD4QmBQRkLIJzEnRs3Mk3rs8jKc2YX0vuUSCQghNCt6ZO3\nXCbDrDlz0KtXr2zrL6J5C0QvW4Vf9p/A0hVrEaepg10pDbBi9U94+PAhdv60DCdGJ+DnvvdR3Ftg\nHq7dAUrlBzytgFIGVBgMjFgMVB0GeDoChw8dzDb63uPlUCqVGDR4ML6YNg1efn644eSEwnXrYuLk\nyU9lnj9w4AAGDxqEsWPHvjUG78nvJyYmBqb4eFRMS4M/gOZ2O1Lsdnz46BHcL19Gp/btAQjzTdu2\nbdGyeXMM6tsXNapXx+TJk7ONjpyAi4sLgoKCoFar0bVbdxw/cQnHjl9ChfLVsesXBXx8gGLFgOil\nwJ9/JqBOnUMYNeo8HtxPweLFf+PixWQMGnQBrZoBR049bvfoaSA+EfjlQlXE/rwPxYoVQ2xsLIqS\nqADADcBHKSnYFBv7jzn6ZciNee1dxYvWdpKXSRpJXnmi7lSSriQdSHYkmfrill+O8+fPo1ixwvjj\njzUIDDTAbNbhl18mws/PFe3bf4WkpBSsWPErTp++itDQ0Iz71Go1NBo1du48jsmTI7FyZV/Exd1E\nSooNfn75EBOzKtvCqt68eRN5FQqchsA1lYAQFv0bADMgZN+rJF7Lj8dJuGQyWbb0/zxk17ublpaG\nefPmYdiwYVi5cmW65ihH+wSA1atX47cDh/DJXKLKCKBIPzmO3XTEzB1q1J6oQdXRSkz9cjr+/vtv\nHL8igS0NaFQS+GwtkJgCrPsDGBwO5HcHvKzApNbAH+eBUG9gWIMEnD5xFCbN4/zhJi2QnJycKdr+\nrfPCO89A/NsglUpQtmwItm79AmvWjMPo0R/ir7+uIiXFhr17z+Py5ZvYuXMSFi/eBYulDQICusLF\nxQEnT+5EkSKFcO6ckBNi/vwfYDaboNPpULFiWVy/fj3LtBgMBvwGYAeEWOXBALYB+ARAKwAzJBIE\nlSiBIxC80tLVUfkBHISgMyaAvQAK5s8Po9EINze350rgi5UsiUSVCoUg5FQ4olajULFiWab5XUBo\naCh88+aFRKWCHcLCUbJkSbRr1y7b+1Kr1fD19UXlypXhly8YNlsqfvl5B06dOoWK+WzQi/vQGZHA\n7G3A+sMKfLtRYCQsesG5mnagWy2guB+QkJCY7TS+x4uxe/duNGnYENqTJ+Fz6xZiN27E1ick0j/9\n9BOqVayInyZMwJJRo1A4JOS1vuXXRXR0NLp06YJHCQkABEfM+xC+aymAEJsNx0THzwMHDmB1TAwY\nHw8kJQEJCRg8ePBTToD/FgwZ+inWr3dA8RJAxUrA+rXAgCg7vM13UKYQMb67HXFxidi65T56dyfG\njwIOnwbqfAi07QN8MACYPmMRNvy0DYULFwYA6PV63BaFCwBwBwDtdhQrUAAXL17MtWd9j6xh/Pgx\n6Ny5GhYs6IkffvgEAwY0xhdfxKBfvybYs+csDIZWGDp0FVavXgeLxQIAuHHjBnr16oXk5FTUqzcO\nlSsPR7164+HiYsTgwQ3g4yPHokWzEBZWGVu2bHljGkuUKIGzdjsiAGyFkAPCCOAPCGtzAoDPIKhj\n/gYwAoC7hwc6fvghukRFYdeuXW9MQ06AJBo0aIDu3bph3JgxaNa0KZysVmzbti1H+z137hzatG4G\nL4sN28YArSsDKTYb6tZrhNQ0Fe7E21HEX47RowYjICAALj7FUXGkDn/HK/H7BSkcPpBize/A8SuP\n2zx5TViDASDulhT5AgLx9VYtlv4K/HwC6Py9Fm0io3L0uXIdb2oD9S4UvEM+EKGhIZw5sw/JHSR3\ncM+e6SxQwJceHlYajXoWLOjH5OS1tNs3cuvW8dTr1bTbV5GM4fjxbdmqVQT37dtHV1dH/vnnFNps\nSzlwYGNWq1Ypy7Ts3r2bzmo1LaItf3WAH4jO058C/BZgIbWaTgoF8wAMhxCOsClAR9HRWgXQ1cGB\n3i4uNOl0LFuq1HPDkt27d48lQkPpqtPRSatllXLlctypKydx//59duvWjRXKl2fPnj0ZHx+fY32l\npKSwbIlQtimj4qIPwDqFNaxcviS9XTS8PhXkPHBGewkLBfsxMjKSBbxAtQKUSQWnrulR4IBGoIMO\n7P5x11f2h3fA/jknSm7MAx9ERrKQ+M00BVgBYGhwcMb1QoGBrA6wo1hC5HIOGTLkrdB248YNajUa\nGiCEVM4jBgJQiU6YvQCGyWSsVbUqSXLdunU0G400ABlFq9U+len5SaSlpXH79u1ctmzZC+vkJtq0\nbsyuncGvpoB6HehgFP+aQAcHcEBv4f8PI0E+Ah/eAD/uDLo4g8WKBv6jvcTERBYrUICl5HK2hZAn\n5gOAkVIpSzzhE/ZvwP/zHNC4cX1GR/dlenjW9euHsnr1wuzTpzG7devyj7DqZ8+epYuLlY0alWCz\nZqVpsehosejo5GRgWtp8kgtps82no6OeRYr4sFixQq+kITPo168ftaLvnV70e1CK88wnAL+BkLNI\nBbAYhBDqLgDrAHRQq1+aXyo3YLfb+VGXLpQI8gtKxb2IGqBSoeAff/yRY30vXbqUAR5yzv4YGbmU\ndk0AnR0U/LS1LMOPsF9jOTtHRXLlypXs3r07R40axQMHDjA+Pp6nT5+mp5sj21ZWs1MNBTVKsHV5\nKbvVktPFauSpU6e4bds2Vq1QnKWKBnLShLHvdEjn7JgD/g0+EP8qdO/+Cb74YizCwyvAYNDg88+X\nolKlwpg3byMqViyCGzfiERTUBSVK5MdPP/2Gjh2rQyIRQg8WLZoXW7Zsx6+//oomTUqhQAEhDOSw\nYU1gNkeCZEbdzKBMmTKo27gxVixejEAIoSs+hWBmVE6s80lSErpD0ECsAbAaQkbmiRAySPeSSvHw\n3j0kA7ACkP32GyqXLo1vv/8ebdu2zejLZDJhz++/4+TJk5DJZAgICMgWX4HcgtFoxNdff/1W+jpw\n4ADu3zyHHwYkQyoFmhRJhOfQI+jQsQvyD/kWVpMCSWlKVKgQgvu3r+PqPSVmdk5Bj7nA3Xhg8CKg\nSgGgYxhAxftP+m1CrlDA/sRxGgC5XPgN0tLSEBcXB78nrmtsNjy4d++t0Hb+/HmoFApIEhNBCJLK\nbhC+9d0AZkmlcHFzQ+z33wMAihYtitS0tIzM7GkSCSxmMzw8PP7Rtt1uR5MGDXBg5044S6U4n5aG\nlWvXokqVKm/l2TIDR0dn6DRS5PW1w+IgZJ928QAG9AH27AN69QcqlQG2xQKRUYDVCvywGAAU+Orr\n7/7RnlqtRpny5bHo5Ek8gmCDfhTAYLsdC48fh91u/1fPef8vqFmzDsaPn4zixf0gl8swePAipKba\nERd3ELt2/fqPNXbkyKHo3r0ahgwJBwCMGLEM+/efw5Ejl56qq9er4OZmwu+/Z48/Y2BgIIpptWif\nkIDNANZBmF8qAnCA8D0nAugLIVP1QwCTxGvNk5IwvH9/hIeHZwst2YFFixbh+7lz4QghDK0GAieR\nAsCemooSxYvD2cUF/fr1Q8+ePbO013kVXF1dcTceOH758bljl4C0tFSUeGKCLp7Xhr4LV+DonhUw\natIw50gqjh49irFjxyIgIAAHDh7DsmXLYLPZsLZ/Iez59VfIZDL8NqM1vL29ERAQgKpV92cb3e88\n3pQDeRcKckkD8bzQW3a7nR06tKdcLqNSKWfjxpUYFVWfYWHFaDLpGBycl6GhAfT29uQnn/Rg6dLB\nvHVrPu/dW8SwsKIcNWoEo6OjWbZsAdpsS0ku586dn1KvV3PMmE+zHO7LbrfT1WymjxjuzRdCxuj0\nzNSTRUljUTEa0wqxjrdKRZ1cTi+plGUB5gW4GEKI19GiJKRwUBAvX76cLWP5LP4LIeNehAsXLrBh\nnWoMCcjDsMrlOH/+fBbJq6f9W5AzQNs3oJujhnFxcbx58ya7de1Kg0bG8U3Ar1uDTiYlNUoJZ0aB\njAb3jxWyaTqa1JlKMoj/Y+ljduPw4cM06nQsJH5DDlotR44cSVLIcmtUKOgmSg3rit/N1q1bc5yu\n2NhYXrt2jRqNhiZR0lcEQlb64QAHA5RJpf/QEu7YsYMuLi6USCQMzJ+fp06dem77y5cvZ16djuMB\nfiZqV7xcXJ5LR24hLi6Obm4OLFpYwg+ag0olmHwPZIJQ6tQEh/cFb50CvxgNhtcF8wd48c8//3xu\ne7dv36ZOqeRCCKGvl0NIntkVoJvFkima3odxzf05wG6389NPR9LJyZGOjmY2atSAS5Ys4dWrVxkT\nE8MVK1bw3r17GfVr1qzKtWv7kYwmGc3ly3vRYtHR0VHPtm3Lcfz4CLZrV54VK+bnn3+OoYtL5t6F\nV+H69et0MpnYTiLhMIBBEgkVEMK3OomSe624NjcRj9MtB2oCdDObszUD8pu+u02bNqVR1JRIRHol\nolY0XRuhBajXajlhwgTGxsZy1apV2UJ7WloaixYuQJMWdHEAy+QXssuHFQYrFJDy/mLw9gKwRICC\nZh3oZAQ1StBqAEsFgFq15JXPf/PmTY4bO5Z9evdko/o1mM/XleVKFcrUmvw+jOs7PmnkBF72oy9Z\nsphOThbK5TJ6eDjRaNSxZcswpqVtp90eyz59mrN9+3bs06cX1WoVVSolO3X6kCkpKUxNTWWlSuUZ\nHOzJtm0r0mo1cMGCbjQa9a/1Qa1du5Z6iYQqcYLRAGwAISeEI0BP0XRps1j6ASwREkKjSsUvRZVo\nmMg8RANcAFAGMEIqZbkcCh33X2UgHj16RD9vN46tJ+PBvmCjgqBeBRrUYM9q4PZeYGQ5FatUKEm7\n3c5ePbrSwyLjuMYg5wplRVfQopOQ0cgoYQWlHDp0aKZo+H/ePOQEDh48yDatWrFpeDg3bNiQ8R79\n8MMPDNTpGCKaIDgAlEkkOWoOl450GubOnUuNRkMpQIvIOAwH2PIFG/50vEr1PmXKFFZUqfiZyECM\nBaiQyV5IR27h8uXLrB5WjVXKSqhWgzfiQCaA9niwZHGweTjIv0H7LbBthIpDhwzgzZs3OWjAAEZF\nRnLFihUZbV26dIlWjYarRAYiBkKGYL1KxY0bN2aKntwej3S8nwOexq5du+jj48nKlUNZs2Zx+vrm\nyRCOTZo0geXKBfOvv2by2rVvWaCABy0WHWvXLsTSpf1pNKpZs2YIHzz4lgsWdGL58qVei4bn4eTJ\nk2xYsyYDPDzoIpdzBsBKIuP6lWjGVFZkGroBnApwqHhskMnYt1evbKPlTd7dhw8f0i9vXspE86X0\nIhWZCA0em02qReGGxWSiWq3mtm3b3pj22TNnMJ+nknungLsng+4WsFFpsHdjGQsF+1GpkFGllNPT\nzUyTDvykPnj1ezC6H+hkAj/vAPp6OnJg/77s37c3Dx069FT7t27dom8eV34QpmCoD9ioJHj8S3Bx\nT9Bq1vH8+fMvpe89A/EvnDTeBq5evcro6Gj6+npx0aKhTPeN2LbtC1asWJaksFjbbLan7tu6dSsD\nA/Nw7tzOPHnyC5LR9Pf35IkTJ7JMQ1jZsmwE8CeAUyDYTZoBlhKPK0Gw5U1nIOrJZNSIH/KXInNh\nAjgOQkzq+hDyPSx8wabhPV6MnTt3slQ+IzkV5FTQPgX0dAB/7QUGu0mZ18PMj7t8yAcPHjAhIYEq\npYxtSoFftUIGA7Gpl6BxOPY5yGjw4Twwr7suU5IOMnc3DxDiuK+CkF02DkDLl9RtB+AABL/fSxAs\n66Qvqf86P0mO4cyZMzRqtawFsC3AIjIZixYs+Nbp2Lx5M7VqNXXiAu0FIenj7NmzX7vN3bt306rV\nchDASQBrS6UsXaRINlKdfbh79y6DAr0ZHCCnny849TOwVQRYsADoaAFLFJWxeBEDS5YowIsXL9LH\nzY01FQq2B+ip1XLc6NFsExHBPE5ONMrldBTHMQ9Ak0bDgwcP5vYjZhnvGYjH+PTTETSb9fzoo5pM\nTw43bFgztmvXmiRps9nYpk0rKhQyqtUKFimSh6VL+9NuX0ByIY8dm0itVslWrSrQbDZy5MiRvHr1\napbpeBkGDxrERhDyMJUV55MZYukPwadp6hPFVxQSqOTytyKweBVq16xJhURCvSh81IpMg0Q8Vj7B\nQCjFc4r0a0rlG/sSVKtUnDHDQW4UyqL+gs+gRgXq1KCDQcU1a9bQwaimQQPaVyPDV6JBSXDqh6BR\nAw5sCg5vARp1cm7atIk2m41xcXEcPmwYO1RT0rYMVMjB+MXIyDXRsoKckyZNyqaRzD5kxxzw3mAz\nh+Hs7IyxY0dDJgOGD/8Oa9b8grS0NPzww2aEhhYBAEil0n+EXytSpAju3k2Ag4MOvr7OmDNnO2w2\nCXx9fbPUf0pKCnbu3YuBAJwg2E+WgxCGMBlCHOkSELL5DFepMFivx9a0NAQDCIMQ6eEGgIIQIj20\nBXAeQHcApwC4Wa2vNzD/p1Cr1biXYIctTThOSBGKtyMwI8IOiUSGDevXwsfLFa2aNYJUIkG7MsDY\n9cDyA8CmP4GPFgI2ylFlnBbNp+tRZKgOtes3R6lSpXL34TKHbyBkoHUC0AbAtxKJJOgFdTUQgoY5\nAigFwY2n79sgMjvg7++PpStW4LCTE5bIZFAVKYI1Gzdm6t7169ejeKFCKODvjwnjxsFut7/6phfA\nx8cHEokEOgAKCLbScrUa5cuXf+02y5Yti+HjxmGKQoFRSiUu+flhaUzMa7eXk3BwcMBv+46iV79v\nEVKoIUaMUeDYCTnyemug0Tqie8/vMeGzVfh51+/YuHEjPO7dQ4fUVNQC0CshASOHDcOl5cvR7dYt\n0GZDBIApEDKfWRwcEBISkrsP+B6vjcOHD2PGjG9QtmwAKlcukHG+XLn8uHpVMJiXyWRwdLRg6ND6\nSEiYhaioyggKcs+w0ffxsSI52YbNm4/AaFTi6NH1KFKkEA4dOpRtdBYuUgSHdTrEA3AGcATI8L1K\n/z89RPtdCCHbUwCk2WzYvHlzttGRGdy9exdxcXFITU3FV199hXJlyuCnTZuQSuIRhGiPRgj+HFoI\nvkSpEBaFpHS6xXoqAKkpKYiMjMxSuORnIZUpcP3O4+Nrd4A0O6BWAAYNkJScjJbNG0CtUiI1DRl1\n09KAizeBdfsBVzMwvh0wqhUwuYMNbVs2REiQL8qXKoDPJo3FpZspkEqFNm/cFe4ngWt3bJg0YQzu\n3LnzT8L+7XhTDuRdKMglyWNm1E6HDh2i2WxkvXrlOXJkJ7q5WanXa1iyZDE+ePDgpffu3buXAQF5\nKZPJGBpagMeOHcuyqistLY06lYoxAH8HuB9giMjda0WO3xfgRwA1CgWdzWYGA6wmah1aiHU0ELJd\nuonai0IAzVott2zZkiV6Mov/mgnTqVOnOHfuXK5YsYLVK5dlvVANv2oCBjqD7UuC/ArsHwYa1eCW\nj8Abo8GO5ZT0djMzoqScX0SAIR6gVQ+2Lw8WLZiPx48f58KFC/nzzz9nydYVuSR9hLBeJAPwe+Lc\nDwDGZfL+XgBWv+R6Vn6SHMOLfKMyi127dtGk0bAuBNtmD62W48aMeW0a7HY7wxs1okmrpQGgSatl\ng/r1s8U+Ojk5mbdv335hW++Kyc6TdFy9epUzZ87knDlz+Pfffz9Vb+rUqayhUmWYa86CYKMdDXAk\nwEAIfmLpxU2n45kzZ16LjtxEbs0BOV2yOgesWrWK9eqV4qRJrVmlSgE+eLCACQmLWLduCQ4ZMjCj\nXo8e3ThuXFOS83jy5HhaLDquW9eHly5NZcWKgfT0NHPWrDasUSOY4eGFOXVqMxYtGpptPoJ2u509\nP/6YOqWSThoNtXI5neRyukOIvNRWtBhwFSX4cnHNVgPUyGTcsWPHG9OQmXd35IgRVCmV1KvV1Gu1\nVEql1D+hVZCJdKXTqYNgWmkS9yTpEZrU4jmduE8BBLOmmjVq8OHDh1mmPTo6mloVOLg5ODACdNCD\nBg04tTPIjeCVBaCzA1ihQnk66KX0dAQHNwNL5xc0FAYN+FFtQTNhXw2uGyZoMCZ1kJBrwBs/CGZR\n41sLERHdzeCktmCrCmAhb7BRGQ3nzJnzRmOb3ciOOSDXP/jsKO8yAzFz5kwWKpSPdvt+kgd48eI6\nyuVyHjhw4Ln1b9y4wS1btvDo0aMZ555cnF/nRfvqyy/prtGwAwRHTx3AkqIqdPcTRSuTsbpCwfUA\n10MI81gIgv326NGj6WaxUAfQSSaju6Mjf/311yzTkln8lxiIjRs30mrSsl0pHUvm1bN65bKcOGE8\nP4xsRVdnRxbMo2WIG+isB5sXQYZ506OJoEIuZeeO7ehiVtHDLGOdolpazTru3r37tenJRQaiMIBH\nz5zr/TKm4Jm6q17GbLzLDERW0LVzZ5YF+LFYmgIM9PV9IxpsNhtnzpzJLp07c8aMGf8wmcwpvCsb\n5szScebMGZp1OnaF4NdRWNzMzIDg6+EMcInIPMwDqFcq+ddff2U7HTmN9wyEgDNnztBqdeCRI5PY\nsWNVKpVyKhQytmjRlElJSRn19u/fT6vVgcOHN2ClSvnp4KCls7ORBoOaCoWUGo2CEyaEMynpa5pM\nGqpUcgYEONNiMXLq1MlZoulluHnzJs+ePctNmzZx/fr1dLZYmBdgfnFDbhY34rUg+C5qIJgsly9d\n+o37ftW7u23bNupUKgY/IWxUid+PCoIPmDsEvweTjD1ilgAAIABJREFUKJhMD1GrE/9X4WkfCaXI\nQKQ7WetUKrZt0yZLdM/7bi4dzRoWyqehWgGqVRIadWpKJWDSamSYNX1YE2zWrBlHjRpFo07Oj+uB\n33QF70SDo9uCerXATOhUoJsZVMrBu4uRYerUq5GMrs5m+nhaKZdJ2LmGwFDcXwC2q6bhjBkzXnts\ncwLvGYh3bOOQjtu3b/Po0aN89OgRx48fzwYNKpE8QPIAU1P3Ui6XPdcucfv27bRaLfTxcaVGo6TV\n6sDvv/8uW2jaunUra9WsSX+plCEAg8UPMhqCL0MRgCqJhJ1E5mE9wGni5FO6cGHOmDGDBbVaLhYX\nzxYyGetWq5YttP3XkdfLhdujQE4AbePAigE6Lly4kKSQA2LWrFn0tKqpV4LlfQW/CE4FD/UDnS1G\nkoKkd9WqVYzq2JEtm4Vz5PBhvH///mvRk4sMRHkA15451xHA9kzc+wEEPwjLS+q81ni8a+jTuzeL\nSaUZDEQ9gIWfyC2RWVy+fJlt27RhlcqVOWHChDdiGh49esRp06Zx2LBh2SLNfJfx22+/MdDbmw4S\nCesCbA7QCrCVKO3NA7AxQF+djn0++SS3yX0tvGcgHmP+/Hk0GvXMk8eVrq5OL3y/Fy1aRJ1OxWnT\nWnPlyu50cjKwZ89qtNtn8OrVifTzc+KGDd3p6mrkd9+1ITmdly+Poaur5SmBYHZiw4YN1EgkLCMy\nuCVFxqG2yOw6pEv5TSYG58vH+rVq8ciRI4yLi2NsbGy2+moMGzaMjiLzEArB0kEi9i8XtQ4+4t/0\nyEsK8X/gsYZCLTJCJjzWSKTnrtEANBmNmabp5s2bNJvUPPkDyFjw1HzQbFRx586d1CglHNICtK0D\n41eBfm6gTCphreoVWCw0gD8OArketK8Di+aTsZAPeG0BeH0BWMQPNOmkjO4Hcg2YuBwsHqjj4sWL\nefLkSUa2acFqhTXcPhL88gMJXazGHItY+bp4z0C8gxuHuXPn0GQyMjDQn2azAw0GHY1GHZcuHc+4\nuDXs2DGcNWpU+8c9rq7O1GhUbNy4DOvVK86rV7/j/v2f083NkdOmTePZs2ffmLb58+czSEws1wzg\nADxOFldPZCKsAOcC/BFgKbmc1StVos1mY/ePPmIkHqvuvwTo85IoLu/xGBqVnBs7gAubg8d6gZ9U\nUPLzzz9nUlISe3X/iIG+7nTQgB1KgWV8wNpBYN8qoKNeyh/mfU+S/Pnnn1kwyI8uRhkH1QHblFOx\naKH8TExMzDI9ObV5ABALwRw37TnlZ1EDEf/MPX1epYEA0AiCWW/wK+oxMjKSI0aM4IgRIzhlypSn\nJDuxsbH/iuNz587RbDQyQCJhCEAHjYarVq3KUnu3b9+m2cGBBqmUThDCy9avV++16ImPj2dQYCDV\nCgUVAHVaLefMmfPOjNfrHi9cuJDhDRuyQ5s23LRp01PXHzx4wDxubgxWKFhZnCNLQEjG2Urc/DRp\n0oTbt29/Z57nZcexsbGMjIzM+D7eMxBP4+HDhzx37txTWodnERUVxX796pCcR3IeLRYdr12bRHIm\nyZkcPLg2S5b0oV6vYmrqNJLTSU5ngwbFnormlV34/vvvqZJK6SlK89sC9IOgNXMCGAUhvLJB3Ji7\niu+xDKBSIqGHWk2jVstly5a9tJ/4+HhGffABnR0d6e7szF69ev1jnK5fv06zyUQlhAAroQC9xe/E\n8gQj4S0y4Eo8DuUqxdNaB7N4j+WJelrxfiVAqUSS6fHcv38/CwcayVhkFP88WlpMajYPUzO/F+hi\nFsK2hpcFk9eDnesrWbVyWVrNOrYNUzPYR0mjTs7PPwS5XigxQ8FSxQrQxWpkxVA9PZ0ULBoaSH9f\nd/p66OhgULFc6SIsWTSQ4fWr89ixY6/9O+cU3jMQbzhpvCmenKxJ8vTp03RycuTp0+tJ/snNm2fR\n0dHEnTu/ZfHiQTSZ9KxQoSzv3LmTcc/WrVvp6enCvXunUqGQ09/fjcePf8X0LJnjxrWhu7uVzs4W\n9unT66kFK6s4ePAgXQwGakQmYLc44XQE+AOEKE0lRamAUi5ni/BwJiQkMDY2lt9++y1D1OoM9X0z\nCJqJnMKzY/s2kFN9+nk5M48JjCgAmtWgRinhggULGNW+DUv7Knm4F7i0DeigAQ/2BWdGgO1KgMUL\nCdlw161bRwetlCYN6KgDTRpwZ3+wsK+GYVUrsXPH9ty1a1em6cllH4ikZ3wg5r/CLKkWgL8AFMtE\n+5n/UXIQ2fEenT17lj179GBkmzaMiIhgeL16nDRxIlNTUzN1/6BBg2jV6egjSv28AMrlct6+fZtT\np07lyJEjuXfv3ky1NW/ePBp1OurFzYg2C1LA3PiOn4dn6Th//jytRiMbSKVsA9BJq+WSJUueqvPg\nwQNOmzaNzhYLfQF2BtheFJ5YABbKl++N6cgtvGcgXo2zZ88yKqoDmzZtyD59elOnU7NPn1q0278n\nOY9BQW784Yf23L69F222b1mmTF5qNAo6OGi4dWt3ktN58eJourpasn0DOW/ePCohRFrSAwyHYG6c\nHqa9JcBRYgkXpfkasa4EYBuAPQBGAFRIJPRxd2dIQABjYmKe6mfhwoX0dHGhTrw3WBQyOuj1rBkW\nxn379pEkw6pWpQyP8zpoREbFKs4ZKvFaekn3a5CLx84QTJ4kYn2LyEikMxdSsb10/4h27dplapxu\n375Ni4OWv30DMhbcPwPUa8Btk4Vj21awaICMvq5gnRJggzJgryagh6uZR48epZ+PK2uWUPLjhhKa\n9eCqoSDXg2PaSRnZphnnz59Pk0HJyGoSelnBsW1AxoBzPwZVCtBsUNDHy/kfYV+fRW7MC+8ZiFze\nODz7o69Zs4a1a1ci+WdGcXOz8uLFGJJ72a1bM06ZMuWpewYOHMBPP21L8icGBHgwIMCDq1cPZjoD\n0bZtZY4d25Z370YzMNCHEydOfC1aL126RGejkX3ED3WkyEBYxI85DwR1Z1sIZksdWrfmtWvXMp4z\nPj6eRoWCDmJdJwjOmFmx/80K/gsMxK1bt1gstACddeCDQSBHgse7gRo56GjUUKdRckU7kJ8JJaoU\n2L0C+HsfsJC3loMG9Ge9GpVo1stZJT+YME1IMteuNOhlBlVy0NMMmrWg2aDihg0bMkVXbm4eACyG\nEPRLK5o03QUQ9IK6VSEkXC2fybaz/iPlALLrPUpKSmJIYCCDVSpWBuij1bJlRESm7h04cOA/GAiZ\nTEbvPHloVKupl0qp02gyJcmbNm0aDWp1RphFPUCFXJ4pOt6VDfOzdAwcMIC1pVLOg+DL0A9gQX//\n5947ZvRoqgAWh6CBSN9MhQYEvDEduYX3DMTLceXKFbq6OnHUqMZcvLgLrVYD27YtTY1GQYVCxpAQ\nD2q1SioUMmo0Crq7m2ixaGkwqFirVgHqdEr6+DhSo1HQYNBw9eqYV3eaBURGRtIKIRdEETz2M3AS\nv/V6TzAQzqLkvgiEpHMKCInmekDQqjlBMNOrD8GnZ8WKFbx16xYbNWyY4ZOgEN//dPOodE2GDOCU\nKVMol0rpIh5Ln/ibH4IpkwFgwZAQ6mUyWsU9yJP1NOI5B7E/lVT6D82E/AmGo3v37pkeqzWrV9Ns\n0tDHTUmDTkGVQsqHG5ChkehUT9jsf9cPXDIEdDSCeb3dOGPGDNYrq6F9E8jN4M7PhWutq2no7mrm\nuXPnGBzgxa1jQa4HHQ3gjXngmW9BqxE8NAVkDLigJ+jj5fzSULT/VgbifRjXN0DlypWfOvbz88Mf\nfxzH1at/AQB+++0IHjyIR6dOE+Dn1wSLF29GUNDTESsdHa04ceIqAODHH4fg1q37aNXqC3TvPgsN\nG47Fnj2n0KVLHTg46FGtWkGoVKrXojUmJgYVU1LQEcCXEMIQNgaQAGAugOUAJgD4EUKYuLvR0QgN\nDsbKlStRrlw5DOzbF7DZ4AygNoDpAHwUCvz555+vRc+r8OzYvg1kd5+d2reCc9JJlPYEDOLPFuQE\n6JTApLBEKCWpyPdEFNwbD4F5v8vRaqU76rTohtkzp6OueSd0chsiSwMaJSCTAlHlgUfJwOGxwMUp\nQFRlICU5GQP6dM9W+nMI3SAwDzcBLATQheQJAJBIJF4SieSBRCLxFOsOhRDxb4NEInkoXlufK1Rn\nAc97j9avX49hw4Zh9uzZSE1NzVQ7u3btwv2rV1EuORkBAKokJGDVqlWZCgfYp08fSDQaPJTJkADg\noVaL4sWK4d7Nm1AlJUFjt0OemIhPevR4ZVthYWFIk0phg2CfRpUKNWrUyNQz5MZ3/Dw8S0dyYiI0\nT4TG1QIvDBNpt9tRWiLBAACdxCKRSPBh165vTMd7vJuIjo5G/fohGD68AVq2LA2lUoatW09g794h\nuHz5M1y6dBuLFrVHSso0rFrVCY8epUKr1aJv3xq4ePFvAMBffz2A3U6Ehrrhgw8icenSpWyjr0yZ\nMngAQRqTDCESRSSE9bw8gK1i2QzgHgQb0DoAWkAI3X5YbOcUBCmNEwBvACEpKWjdvDnyentjx+rV\nUAKQApCIdSD+r4RgjxoEoG/v3pDb7bgN4TvKAyFctBzAaQDHRboUCgWS7XYkQLBHlYvtWCBwCI8g\nhJgGgBS7HZIn+tMBMEBYDBQAdDpdpsfq1t9/IykpESUDU9C4Yio0KmD0AhnsduDUJWDlLqBrQ6BD\nLaBFVWBOH8DJasKdO3eQ3yMFYrReBHoB8UmAf/n++OPQCeTNmxcPHj5CXlfhup8bsGYfcDgOKBsI\nhIoR99tUBh4+fICbN2++kMZ/67zwnoHIRgQHB6N//wEIDW0KP786CAuLgkQiwbFjFzB2bE906NAI\nQ4YMQlpaWsY9nTp1wpEj19Co0RhMnrwSdjuh0WixZcsZ7Nt3ET17NoTFYsDt2w+wefMhFChQ4CUU\nvBgymQwPSYRDWADtED5GbwB+Yp2iAPQA6gPYlJYG9b17+LhlS4T4+SF23jyMINEYwBIIE8PlpCS4\nubm97nD95/HLr3swolIafr0M7Bd4RHz3B2BSA0XdAYVChdpzgMk7gagfgWM3AKVChZPnr8LN3RP1\ng5LRvhRgVAExh4H0/c6aI4BKAQS4Am1nArEngA8rALevn8e4MaNy74EzAZJ3SYaT1JP0Ibn0iWuX\nSRpJXhGPq5JUiucM4t+6uUf96+HTUaPQPiICq8aMweiePVGjatWn5oAXwWazQQ5kLKQyCDljMnOv\n1WrFvv37Ua1xY/iXLo3eAwagVu3aSHtikywD8PDhwxc3IiIoKAgxMTFw9fGBwmRCzTp1sCQ6+pX3\nvcto0bo1YjUa7IOwiVqk1aJtx47Prfv3X38hjyDdBgB4AtAZjfg4E8zXe/w7YbfboVA8zs3k6mpC\n27ZlUaiQF27ceABPTzMaNQoFANSsGQx/f1c0bx6J+fMP4caNB3Bw0ODgwX6IixuOxMRUODpqcPTo\n0WyjLzIyEk5WK34H0BxCXqeCAEoC2AMhl8I+AMfE+umb/zQIG/C/AMwCkAhhc5+ORwDMNhuSExKQ\nBmFjr4SQp+EYhHV/h3hfPIDbAOQkbAACIOwnroltWcV75WI7Rw4ehB8JNwhzmqNY5yGEuSg9R4Sr\neJ5iPYp93RX7lQFITk7O1DhdvnwZfXt1wvhOwNJRwLxBQFR9O6J/NkJdU4LCUQJj4OPy+B4CMBgM\nqFatGn7YIsOe48DtB0C/2UBhP+Cn9cvh4iLcUK9eA/Scq8bFm0CTckDPucCoaGDPKeB+vNDekQtA\nqg2wWCyZovlfhTdVYbwLBe+ICVM6Jk6cSH9/bx45sp7Hjm1kcLA/1WoVfXw8qNWqWbt27afyJ9y/\nf5+NG4fTYNBy7Nj2PHFiNocObUV//7z08nJnSIgfLRYThwwZ+Nqqrhs3blArmjPMBjgYj7M/rga4\nD0I0pnQ756KiStMsqke/xePoTBGiGt/NZHotWjKD/4IJU6HAvFzdCoxpCRpVoFIGejuAmzuANYI0\nrFmtEvO7yNm9HDiyOrisDRjsn4ckOWbMGDYIAesEg/VDwGA30M9J+OtuAl0MYFQV0M8ZTJwBci54\n/QtQp1G8MjoT3psv5CiefI8SExOpVCjYQDQTaAbQVa/PVP6UBw8e0MvNjcVlMtYDGKhWM6xSpUzl\nb3jeu/zbb79Rp9XSJJouGtVqtm7VKiuPlmW8KyY7z6Nj8+bNLF+sGIsEBnLiuHEvNDFYt24d3bVa\nfgHwO4Cl1Wp27dgx2+jIDbyfA16O8+fP08nJwokTI9i9exhNJi1LlvSl3T6H169/QaNRzStXxpKc\nzpUro2g0auji4shx4+px+/aPWbt2EFu3LkbyS27a9BGtVv0r7eCzgtjYWF65coUqgH1EU6avIDgv\na/E4i3Nx0dwov2iy5ATBL8FdPK8US2kIPhRq8X5fgK0hBAzwxuPM0CqApcSiFk2LtGJxFPcNBSCY\nQRcV6ZGK5klP+lA4iv8HQzCrkorFWaTNHY+zUuvEvp3EOiqlMtO+oD/++CN93GRcOwHkz0JZMgKs\nX6cSd+zYQQ8XDVeMBJ0cwJm9wAUDQatZlWHa2aJFC1qNoEkHNq8Exs0HjQZ1RvuJiYns3LEd3ZxN\n9PN2pVEn58YRYGRV0NsJrBYKOjqoGb1k8St/z7eN7JgD5LnEt/yn8dtvezB6dC8ULJgfJKFQyFGh\nQlFoNGr88ccxODvLEBnZCmq1Fj/+uBK7d/+Cw4cPIG9eVwwe3AIA8OmnbbFkyS6sWrUGMpkMVqsV\nnp6e2LFjx2vRZDAYIIFgulQAggYiBEK26XYAfCBI4oxSKYx2O/QAdkOQICRAkA6k4yGE7NWHbbbX\nouX/BV/N/B5NGtZBmJ8Ege7EPYkVtpRERK5NRtNmERg9/jOUKVEYx+/egh/S8PVaKRYtmw1AkPpO\nOAOo5cC18UJ7v8UBreYBSz8AXIxAgdFAMR8h8yUgnNOrpbh37x6MRmOuPPN7PI2EhATIJBKoxWMp\nAJ1Egvv377/yXoPBgF/37UOv7t0Rd+4cqpYti0mTJ2dkwM0qSpYsiQULF+KTHj3w4MED1K9XD7Nm\nz36ttv4LqF69OqpXr/7KenXr1sXgiRMxcsgQJCYno3HDhvh82rS3QOF75BZ8fX2xevU6NGhQG76+\nZhQrlgd79pxDgQLDUKpUXthsdhQsOBYVK/rjl1/OwdPTBHd3EwYNEt6nUqW8YTYPxNy5rXD06DW4\nuLjBarXCbrdDKs0ew49Tp07BolZjTlISKkJwFjsOwCiRoCaJAwCuQFjfNwD4GoA/gIYQJPu/Qchi\nbYYg2VdBsD6IgbAfkIjFW2zbBmHvkK7NCBLvl4vtxgM4+j/2rjq6iuvr7ucucU+Ih5BACE4IGtxd\nikuhlGLFrVAKxYuXIoVCsVKkOBQIlFLctViAQJAED/H39vfHTFL64ZCQ8Ct7rbPyZubOvWcmb+6b\nc885+wDwwD9e00wvgh6C1yNV3P4neFBoA7GfdPEvxPGkANQQ3kFkEEKkIsqXR4UKFV7rHtnb2yMt\nQ4Yhcyy49wjQqYEBPwCDRzRHuXLlMGDwaLQe0B9KBTBsoRTh4UXQq08NNGjQAADQpEkTnD60Dn+O\nfwKjDpi1XoLgID8AwKlTp3DhwgX06D0As+b8BADo2O4TjFy5Bk1KJuHCLRXu0ht79q1BYGDga+n7\nweFdLZC8IMgjK4+ZaNu2Nb/5pjfJizx3bivt7W144cIG2tmZeffudpKHePfudprNBtrZ2bB48SL8\n4Ye+9PJyYmrqOpKbmZi4hg4Otrxy5Uq26JSRkUEDwOUAzwNcDNAd4D6A6wFOEBOUKpYvT39x5WIT\nwG0QaOFMEgk7Q2B0sAVYVyplpYiIbNHtfwUpKSm8cOHCvzwAMTExXLhwIVevXs3Y2Nhn6O+Sk5O5\naNEiTp8+nWfOnMnaf+XKFRp1StrpwIxpIGeA1ulgiCu4rw/4YILg0dCrwF+6gPengd82AA1qySsZ\nP/Bx9fG9wWq1MrxgQQbL5awNsBRAs8GQRVDwEXkXKSkpHDp4MGtFRfHLnj3fuu5KXsTHOeDVmDRp\nEgsUcKW/vyNbtixJR0cDtVoF5XKhcJyXlw0LFXKlra2O48fXZUSED8kpJKfw3r1vKZdL2aRJYRoM\nGmo0Kjo6mhkc7M/Lly9ni34HDx6ks07HzgArAKwkegr6Ahwt/r63BThMFE+AVQD2E6WV6FHQQ2Bp\nai16DxQQErEzPRCeAP3F94NQCAnatcS2UoBlAEaJ4gYhydkO/9RxyKRrhSiZ+xxET0NmHQiFRJLl\n0cisXG33lAfCSdT3TYhkLBYLK1cqQ50GDPERPA2++Zz+VRMnMTGRsbGxz62TY7Va+UXXTnSwVTPU\n30gvDweeOXOGE8ePobO9hrXLGOlop+HM6VOzxpv9ww/8vEsHfjdpElNTU9/9H51DyI45INcf+OyQ\nvPbicO7cOdrYmPjpp83YokVtOjnZ8cCBZSxUKICZBeXIQyxUKICVKpVkaGgIf/55KBs0KMuKFcM4\nfnxHFikSwLZtW2WrXt4uLnQEOAZgT/FBDQbYQZwkNBIJt2/fToNUyt4At4syHaC3iwuLh4VRKZHQ\noFQyLCgoW4vQfOg4cOAAXR1tmM9BR6NOxXlzZmcd+/vvvxno40E7o5o6jZKzZ33/Wn0O6NePehXY\noii4pRvYsTTo5wAe6g/WCVPSRielUiaENelUYKQf2KKkkpMnT35pvx9fHt4vbt26xSoVK9LGaGRI\nYGAW9WFeh9Vq5bp16/jdd99x+/btua3Oe4XVamWNqCgW1mjYAWCESsUioaFMS0vLbdWyBR/ngFej\nQ4f2dHEx8dGj6STn8dKlMVQqZQwP96Rer2J0dDeSUzhnTjNGRHjTZNLws88iuXBhS5Ys6cuIiJJs\n164dbW31XLCgAZOSvuLYsdUYEVEsW/SzWq2sV7MmA3U6VgXoodVSCnCIaED4Aqz3lAHhI76094AQ\n9hQoGgHdIYQwKcUXfUfx5T0zfMgZYJGnXuoDIbAlSUQDotRTBoSTuE8OIQSphNi3SdxnFM8zi6IV\nt70BKqTSrOrTmfUfMqlblaIRodNqmZiY+Eb3qWSxApwzAOQeMHkHWCL0n0Kur4vLly/z8OHDfPLk\nCa9du0Zbk5qxi0FuFcKazEZ1jjFS5hSyYw74mET9DnhROFFgYCCOHDmGO3eSsWfPcVgsxIwZS3Dz\nZgKWLNmM9PQMLFmyGfHx9/HkSTKaNGmKXr1molAhf0ilCgwbthB//30Dbdq0f+0xXwdTfvgBKQB2\nQ0h0+gWCi3MhBBdhPpkMnVq2hMnBAbuArCSqlRIJihcvjv1Hj+J+YiIuXLuGI2fOwNXV9a11eRXe\n5Trf95hWqxUN6lTHtMj7iPn0CQ61TsXAvj1w9uxZAECTejXxRdB1JPROwbGOafhq0Jc4cuTIK8fc\nHb0ZUxsBDnpgzBZg/UngzmOgwlQpHuiLoFf/4VDKgQwrEOELfN8CeJhMaLXat7qOj8ge/P//qZOT\nE7Zs3457Dx/i5LlzKFas2HvX4W3QuUMHdGnWDMsHDEDzOnUwbMiQXNEjO/CmesTGxmLvnj1ol5yM\nIgCap6YiPiYGhw4deq96fETuwd8/APny2cNg0AAAfHwcYDCosXr1Z/j1185o1epnAIBKJce5c3cQ\nGBgElSoMGzcmoWXLnpg9ex5++20lwsOdMHv2IZQtOxetWhXC4cPHXzbsa2Hnzp2QSCT49bffMGD6\ndBQdPBiTfvoJSpkMywBcgZCMvAECE9NaALEQ2IymA5gMIB5ApNhfEITf+uYQGJsqQWRcg5CQfRQC\n6YoBwGUAjyCEFsnEY3EQEqwTxP06AK7ican4WQMhOVoNIQz6AYSQJm8IIU5KkSVEBYEJ0glCyBIA\nWGQyhISF4fyFC2/EwAQAFy9dRa3Swme1CogKT8LFCxde2P55z6i3tzfCw8Oh1WoRGxsLP3cV3MVY\nrnzOgLujEnFxcc+c97r4UOeFjzkQOYAHDx5g/fr1+PPP3QgLC8aVK9exa9dxWK1Ely6j0bLlULi6\n2iMoyBtJSUDfvn3h4eGB7t0/h5OTDQYNaolDh/5G7do14Orqhq+/HommTZu9s16enp6w0WgwOTkZ\nUvwzQUQCmANAmpGBiTdvYiWAcwBaQnjYb5PoV7AgAECr1X58Qf1/uHv3Lp4kJqJBkLDtbwtEeMpx\n8uRJ+Pj44NTfl9C1iRDp6WcHVPUFDh8+jPDw8Bf2+fjxY1y/cRM+pYB2JYEBvwEPkoBHqYCN1oon\n1/Zi/Lf7UTEIGFEH2HMJiBgPUGLFkqZN38dlf8T/ME6dOoWVy5ejQ1ISlABKpqZi0oQJ6Na9Oxwd\nHXNbvRyHxWKBFP/QFEoAyCUSWK3Wl5z1Ef9LaNmyJcaM+Qa7d59HmTL+mDdvNwwGNVxdTfDwsMGt\nW4+QlJSG5cuPQKs1YPv2P6DX67POr1WrCoYNi0SPHqVBEi1brkCfPpvg5eX+klHfDDKZDG3bts3a\nvjBiBL4dNgyrrFYQQk7BAfFYNwjMR6kQqNyf/n5fgPCy/zuEF/hCEHIQAKHypxTCy3wqhHyJihDe\nDS6KEiMeg0QCkkgE8FAcD+JnCQQjxhPCe8c1CIxQ8U+N4wLglrhfBmFhUyWXY826dahWrdpb3aOC\nocH4adMh9G9pxf1HwG9/afF13UL/amO1WtGr5+dYvmQB0tItqFOvCX6cv/C5+SqBgYG4fDMDf5wA\nyhYEth0Bbt8nfHx83kq/Dxrv6sLIC4I8FLpw9uxZuru70dHRjj//PJHkRaamnqGnpysLFw7mwoXj\nWalSadrb23LUqFF88uQJY2JiaGdnw9GjO3PZshH083NjcHA+Xrq0nH/8MYMuLo7ctWvXO+uWnp7O\nYiEhrAeBTaSe6K78FmCMKKtEN+TnAOcBnCUeN8tk3L59O2fPns3169e/tCjKfw3p6em0Nem4ty3I\nwWBCL9DdTsuDBw/SarXSyc7EP9qBHA4+GQQnW97zAAAgAElEQVQGu+m4ZcuW5/a1Y8cOFgsLpk4l\npY+9jDolOL6eUIG6Qynws0ghF4IzwL5RQlE5zhGkagHQx9PllfriY/jCB4XnxeZmJ6xWKxMSEv5V\n5To6Opp+JhMHA1nirNfz7NmzOapLXoHVamW5kiVZSqViN4CVFAoG+/o+k8P0oeLjHPB6mDt3LjUa\nJeVyKW1stLS313Pw4Brs2rUctVoF9XoVfX3t2a9f32fOLVgwkIcOdSU5iuQozphRm2azln/++We2\n6vg0bty4Qa1KxfwQ8iLUEIofKsQwpszick5PhSzZip9NYtsST4UROYhhRpEQWOQKieFGdUWpKYYa\n5RNDjdRKJSUQCsNpxJAlgxjWpBPDqIqJ4i2GMWVWsPaAEFKdWZFaDlAlkbBgSMhb5RJcuXKFTRrV\nZJEwX9rbqmlvq6JBp2S3rh25detWHj9+PKvtgH69GeoLHp0P7pgK2pnA5s0av7DvVatW0cakpYON\nmo72xjzDrvYmyI454GMIUzaje/du6NevMywWK6KiIgAI1m1c3G3s2PEzWrWqj23bFsLPzxNmsxla\nrRZLlixGs2YVMXBgKzRtWgkrV47C48dJ8PFxQ2RkIXTtWgcbN757/Sy5XI7f//wT8eHh6AHBzdgW\nwG8QVhWsECp7ZfI++wMIhjgzWCxoWK0afuvZE72bNUPzBg0yJ+z/PORyORYuXo7aq7Wo9KsJIfM1\naN6mIyaPGwVfDyeoVGrUWCJF1CIZQuaoUTqq3nPZXw4ePIgm9Wvi4t9nsLqtFZcGWXCqHzByE/Ak\nDbj+ACjvj6zCNlFBQIxQswgkcOsR0LDJJ+/xyj8iJ7Fjxw442dtDoVAgKCAA58+fz/Yxzpw5Ax9P\nT3i6usJsMGCZWN+hYMGCuE/iLIS54IhEArlOB29v72zXIS9CIpFg/e+/o0i7djgaHg7Ppk2xa9++\nty7k+REfJjZu/A0jR9bCw4cTMWBAFahUciQlpWDPnosICHBE//5V8PChBR07dnrm3FKlIjB58n6k\np1tw714S5sw5iq+++gYRERE5pu/Ro0fho1ajFYDKEMKQQyB4EFZCCD/aDiGEKAPCb7sthN/+yhAY\nl0LFvxkQQosy2Y8gbmcyMgECs1JmtQylRAKmpcFP7LcghJoprmL/yeL+TGT68rRqNTQqFRRiv48g\nFpnTaNB7wAD8tW8flErlG92Hhw8fonzZ4ghx2IzJ3S6hbKEUaBTpkCuk+PnnxRg9uDFqVi2Fbl07\ngCRW/LIQP/QDwgKACkWAoW2BjetXP7fvdWvXomP7lnCwkSItA5gxc+4HWwjuXfHRgHgHPC9u7cqV\nq4iKKoPw8BDMmrUEJPHrr1sAACrVPw+BVqvBL7/8AkDwAsnl/xStkcn+XSwqJuZWFi3nu8bKmUwm\n7DpwAKkyGfoA6ATBbVgUAjXrbgB3JBIsgkD5Oh3AtxAe/snp6eiblITpiYk4vH07duzY8U66vAwf\nUg4EIFA9Hjl5DoVqtEf1uo2wceMmaC9tQJ8C8Xhy/zaGlLbCS2/BzfspqNuoGe7du4eEhARER0dn\n9bH055/QISwZcilQWWR9y2cLhLsDQUEFcOKWHN/vBpLSgNR0YNofMlxMkGLqdqDRLODmEy0GDBz4\njnfhI94Vr/s9WrNmDTq0bYv+/frh9u3b/zoWFxeHenXqwP7uXZQkkX7xIqJeswDd6+pAEjWrVEHA\n9evompaGhikp6NKhA86fPw9bW1ts2rYNJzw9MVEqxfWAAGyNjn7jF+i8Etv7Ij3S0tKwbds2bNiw\n4RlqXb1ej2nff48/Dx/Gj4sWwd7e/rl9ZIceH5E3cevWTRQr5gkAGDFiIw4c6ItJkxriwIF+ePgw\nFTt3PsKYMePh7+//zLnjx0/G/ft2MJtHw81tPKKiGqFHj57ZoteLvkfOzs64nZ6OzDJrOgCHIOQu\npAHYAaH4mw7Cy18qgHsQFg0zX+5TIeRGmsVz0iBQvsZACC1KgVDlOhrAEQgv/XEALBQKyjmK/Z+F\nYAxcA2CCULA2FsAdUa4DkMpkcPP0xLfjxuGhjQ2uKpVw9PJC527dcDkmBlWqVHnjnAcA2L17N3xd\nUzC0gwVlwoBl3wIPEq2Y2isFZl0yoqc+xJmfk7Bjy3Js3boVSqUKcWIs1c4jwI14wMpn6bLv37+P\ntm2aY9PoJPw9PxE7JqSg86dtER8f/0zbN8GHOi98zIHIZhQpUgSzZv2MuXPHo1atNvjuu/nIyMhA\noUL50axZD/Tq1Q579hzB/v3HUKFCBbRr1wYrVvwK0gpvbxf4+LhgwIAfkJiYikGDfsCNG3exZ89Z\njBu3INt0lMlk6NKpEzouXIg2SUmwhbAKsRRCstU0EnoIFS31EFYgLRBWJQBhsvGWSHDr1q1s0+lD\nB0n07/UFrh/9HTXck3DoLpChAGYfA+bUAOqL+RH57YH2LRoi1SJ4EkJCQrFo6QrMmPodtv2+BdUd\nhYn8j0tAWV/gxgPg3B1Apb6Exi0/w+Z1K2Db7zYUcjkiSpXEowv7sPmEFYFOQGkvC3p83gmLlq7M\n1XvxEa/G1KlTMXzgQLgnJSFZLsfPCxfixOnTsLMTooaPHDkCk1wOs9jemcTJe/dw8+ZNuLtnTwz1\n/fv3cSc+Ho3EbUcAnjIZjh49ioCAABQrVgwXrl4FybeuPZGXkZiYiIjSpXEtJgYyqRQylQr79u/P\n8rLcu3cPly5dgpeX138i7+MjnkVkZHmMH78NU6bUh1oth4uLCQCgVMqRP78HOnXqCbPZ/Mx5iYmJ\n0Gg0WL9+Cx4/fgyFQgG1Wv1Mu+xGeHg4KlarhimrVsEH/7z8E0LSsg8ED8IDADUgJD47QDAKdgAo\nDKGWhBuAchDyFo4COA7BEJHhn1oNOgiejDIQjI1jEPIXYsTjDyDkMFghJGCbIRgRV8U+1Go1KtWs\niekzZ8LR0RHdn1PZPZOI5E2hUCiQmEyQwu9sSipgsQDliwDxD4Q2Bh0QWciKw4cPQ6ZQo80o4NRl\n4NhFYOsBICKizDP9xsTEwN1RjuL5he3wAMDHTYFLly7BwcHhmfb/83jXGKicEvxTMf0RhO/p2Ze0\nfbdgsGxEfHw8S5cuRXt7O+p0OjZv3oy2tmYmJZ1i//6fskyZovTycqNKpWSdOrVZv34U4+Oj+euv\nE2hvb2aRImGcPn0aDxw4wOHDv+KECROYkJCQ7XpaLBZOnjSJwe7udIHA8+wOofJ0WQjczgcBHgX4\nBUA7lYqdpVJuBzgDoK1WywsXLmS7Xh8SMjIyuHLlSs6YMYMrVqygu62Wyb1B9gMTe4L2GjCfEdzQ\nFORgQaZVAU0qMGkwmDoEbBCqpoNJw54Rcn4TBeqUYJsioFkNBjqCZg04sQ44pDLY7fPPGVmiMI16\nNQN8PNmtWzd+Wk5NzgA5A7w/HtSoFa/UGx/jn3MddmYzKzwVS+ytVnP69OlZxw8cOECzTscSAEtD\nqOqqUirfmMKQJNesWUMPd3eajEY2bdIkq4+MjAzq1Gq2BtgHAp2jo06XozHaeQlDhw6lSaWiEwSq\nSpNUyqpVqpAkFy9eTI1MRieplGqplN9NmpTL2mYvcnMOgFC7bDWE+qQxAJq/pG0BAJsh5NpaXqPv\nbL1PKSkpbNWqORUKOfV6FYcOrc6EhLH89deOdHS0faaey61bt1imTHGq1UpqtWpOmjSBEyaMY6dO\nbTl58ndMT0+n1WrlgwcPciy36e7du1TJ5awCsIv4XKslEqpkMsoB2sjltBP3FwUYALC9+JtvJ+Y+\nlAXYUZSa4vllATYHWEPMT1CIuQ0mMd/BBv/QsurF/iLxD+Wr7ql8CJlE8q+6R9mFjIwMjhs7ijWr\nRdLN2ciWNeX8cRhYJgzsWBcc3gks4A1yL3j9N9DFQU3vfC78vJGEE7uDBg3YqAL442DQ11PLBfN/\n/Ff/8fHxtDFpeGYByGjw74WgjUn9Qdb1yY45INd/9F+omOAha/eabd/9bmYjrFYr4+LieP/+fR44\ncIBarYaXLu3gyZMbuWbNLDo5ObBfv750cnJgwYIBLFeuKLdu/Z7fftudBoOOderU4rlz595LEZJN\nmzbRRirlRoCHxQQqPYRiNEdF+QWgr7MziwQHUyaR0N5o5Nq1a3Nct7wMi8XCejWqsJinnp8W1tBW\np2IBZzXZD1niZgAL2IGuenBNI3BxXdBWDfrbghwuyKZPwHw2EnIkyJHg721Ag0ZGFzs9mxUGrw4F\n08aDRT0l1KskLOwOhrqAdUMEY6O4jzLLgDg9BHSwNbxS948GRO7DoNWyylMGhL9CwQkTJmQdt1qt\nbN2yJe10OnpqtTRqtZzyivoez8OhQ4eo02joJiY62qnVbNL4n+TAZcuW0ajR0FcmEwo2SSTs2rUr\nrVZrtlxnXkbTJk1oFI0HZwjJpAF+fnzw4AGVUin7AJwGgVdfKZHw/Pnzua1ytiGXDYilomgAREBY\nrM7/grYBANpBKJL83g2ITKSlpfHKlSusVKksTSYDQ0OD+Ndffz3TrkaNKPbtW44Wy0heuvQlbWw0\nrFo1gDNnVmdUVACjosoxMNCbOp2aRqOOS5cuzhF9J4wbRzutlsV1OrrodOzetStJoSbR7NmzaVSr\n2RlgZ/HF3xZCETi9uJBoD6GwXDsINaLUMhmbiwZEcwjJ1YCQAF1UXORwFg0IlUxGf9EIcRD7dBEN\nDltxMUQHsE3r1tl+3V0+bctyxbVcOQns8YmM9rY6Fg0Pokoppa1ZxfyBnvRws2c+dz31WintbeQs\nmh+0N4NRRcEZfUDuFWTDRLB8ZOFnxli4YD7tbDSMCDPRzkbDH+fOIUlu3bqVJYrkZ5C/G/v07pan\ni8iR2TMH5PqP/gsVEwyI9q/Z9t3v5lvgVZn3vXr1pJubC11dnajRqGk06lmiRBiNRj2bNWvK0NAA\n/vnncv7663Q6ONiyRo0INm5cmRqNis7O9nRxceLevXvfaMw3Re/u3fkVwEei7IPAnBAI8E+ARwBW\nlErZtE4dksKKzPt4ucgNVoM3GXP9+vUMc9Pxt5rgd5HgjPKgTgGOrSDlxU7gyLIyerk6sOcX3ejj\n6UYHnYQuRhmNWiWbF1LQ+hXI4WDjAhIGO8myDIiEgaBWreCAAQOo06hYNJ+KXjZgiBPoYQJLeoFp\nE0FOBn//DDSqpWxZUslv64L5nLScOX3aK3X/aEDkLF7ne9SxXTu6azQsK/6gGnU6njt37l9trFYr\nN23axO+//5779+/npk2bGOjjQ2c7O3Zs2/alRc2io6N5+/ZttmnThiaplH4QvIzeAA16/b/a1qtX\njxq5nDbiD75Rq+XcuXPf6tqfp0deQKYea9asYdN69di+VStGRkZSAYGJzgkCI02jhg25bNkymkTj\nIVPcAE6ZMiXb9Mht5NYcgH/YQH2f2vcTgNGvOM83Nw2IlyE6OpopKSm8dOkSzWY94+MHkRzFEye+\noKurgWlpg0gOZXLyQJpMKqpUMjZsGMg1axrQ0dHM06dPv9WYr8L+/fs5Z84c7tix45ljESVKUAeB\n+UgmvuQrILAjtRY/ZxaKK1GkCHVqNYuJxkN9CF4KszhfaESDQC6eE5w/P20gMDZpRC9EOQgF5TIr\nVxcAGF6wYLZcZybS0tKoVMr48C+QJwSpUU7PZcuWMSkpibdu3aLVauXJkydZv15tOtnJmbAV5AFw\n34+gTg2O6QpGzwC5F1wxCoyq8Pyif9evX2d0dDSvXbtGkjx69CgdbLVcMxI8MQ+sUkLD7t0+fW3d\nc2NeyI45IK/nQHwrkUjGAPgbwBCSu3JbodfFrl27sG7db5g/fwI++eQLGAw6HD++Cc7ODjh58hwi\nI5tgx45FCA8PAQCcOXMRU6YsgEQCHDjwI0JCfLF27R9o0KA+rl69BoVCkSN6Gm1scEUqBUR+81hx\nfyyAKIkEeoUCdq6umDdlChrXqoW1mzdDrVRixMiR6Pnllzmi04eAO3fuICMtFYP2AhXcgU1XgXQr\n8HtGccxcfxEFgoPxx95F8PT0xJjxE3DhwgUkJibCzc0NtatVRKlFt6GQAZcfKZCamoqZ+58gnxkY\nsVsJs16NY2sm4rOi6Zh3SIJi7sDk+kCJKUBdT0Ah5tuXygekWiQIqTsC8Xdu4vsu1d+aK/sj3i9m\nzJqFQWYz1q1ZA1s7O2yeOhWBgYH/aiORSLL+n4cOHULDOnVQJj0degDrFixAzJUr2PZUEv7TOHPm\nDBrUqQN9ejrSrVbEQ4h1Tgeg/39JiSeOH4c2IwNZM0xSEnbt2oUOHTpk5yXnOn5asAD9Pv8clZOS\nkCCRYC8FGsLM9EeZRILC4eGYNXUqkiEkf3pCYJqJh1BH5yPeGQEA0kleemrfcQgh9x8kTp8+jRYt\nmkChACyWdOzbF4tatYLw5EkaNBo5FOKErVLJYG+vxaJFtdCx40a0br0Bfn52OHz4MIKDg7Ndr+LF\ni6N48eLPPXbmzBmUhbBKWwtCfuMTAMsB3JNIUKpUKfyyahXUajVMJhP69u2LSRMm4CqEmHIVhPgz\nCQS2JU8I8eY7AJw5exYyCEnUGvzD1KMUP1vEtgHZzOgmvBMDT5dukEqF/RqNBhqNBqdPn0bF8qUQ\nWTARRYIAOzF9pUQIIJECI38EWlUDzl0BRizQYPa8oTh+/Dju37+PsLCwrHwXNzc3uLm5ZY2zbu1a\ntKuagrpi2sQPPZMR0esXTJn2Q7ZeY57Du1ogOSUQSIF0EBL/W0P43nq/oO27m2PZjHnz5rF168Yc\nM2Yg69evxqioCJIxWWJra+a2bQtJXiR5kT16tGH9+hVZqVJRkvuyxGzWc/HinHFzkkLMppPRyOYQ\n4qBtAU4SwyrMCgWXLl1Ki8XC9i1asKpKxWiAKwB6aLVcv359jumV17FhwwbaqMBHXUB2B+90BLUK\nyb/K2W/fvp1ujraUSSUMCfDOWmlKTk7m1q1buXnzZiYmJvLEiRMMD81PjUJCO52MkflA6yiQo8GD\nXUGDErRMAGvlB+204MUhoPU7cHAVsHxE0TfWHR89EB8U0tLS2KplSxbEP3HJjcVVwjt37jz3HD8v\nL1YS27YVwxT0Egn1Wi2XL1/+r7YVypenSSKhs7gSb1Kp+NVXX72HK3u/KODry54AZwKcLnoVIIoK\noEEuZ2Tp0tRJJKwphmO4i54Jk1r9Uo/Ph4bcmgMg5NzG/b99HQHseMV5edIDkZaWRhcXB65d25Lk\nKP74YwNqtQrWrBnIsDAX2tio2a9faR461JHduxdjUJAd09P7c/z4ivz004K0sVFnm7fvTWDQatlW\nnEO6PyVe4vder1JxQL9+We3btGrFENGTUB1gFIR8BkCoJ1VfFDdxrnEUvQ1S0dsQIfYtB+gul9Ns\nMORIDkSHdi0YVVrD9dPBYV1k9PJ05L1797KOd+rQkqM/l/Dsr6CjLfj3CpAHwF/HgHZGsHV10GSQ\nsl6dyty6dSvbtWlGDxctIwqb6OJk5tGjR5877oQJE9immoqMBhkN7p0B+nk7Z/v1ZSeyYw7IFQ+E\nRCKJhrDi8LxCAntIliV58Kl9CyUSSXMIxAEzntdn27ZtkS9fPgCA2WxGWFhYFjdvJkXW+9xOT0/H\ntm27ERISgAsXLuPatTicOHEWBQvmx5gx3yM5OQVt2vRHv34dsW/fMaxevRXu7s5ISLiL1at3wsbG\nALPZgNTUdHTo0AEKhQKNGzfOdn2dnJwwc/58tG/bFi6PH+NHCKsD9QCsT09Hm+bN8eTJE6z67Td4\np6aiHwRe6fCkJGzfuhU1a9bMlfub29sXLlyAr4MWBmUSdl4HAMBGLcHp06dx5swZ3L17F591bIsl\nVRIhAfDN3hhUKBmGqGo1Ub1OQ7i7u2f1d+bMGVy8dAmHOhE/HbfgdAKwKwYo7yNUrk7KAJosBCoF\nADsuSxE02gorARdHGwwY0gbR0dGQSCQv1Hfy5Mk4duxY1vPxER8Ojh8/jsqVKuHu3bt4us5pMgCp\nRILY2Njnsn/ExsWhtPhZDsBdJoNzxYr4+uuvUbJkyX+1/X7WLESULo309HRYAbh7eKBPnz45dEW5\nh4yMDGQSaW+H4FUwQ1hFfQyBiebs0aPwJ/EQwCAIdJMbZTK07Ncvx7zA/0t41W87gO4QWD2fhgnC\nvyBb8D7fBVatWoW0tBSUK+eNU6duQ6mUwsZGh99/v4hvvqmIr7/eiW3bLmHLlotwcNAiLu4xNm++\niJ07ryIqyhNeXibcvHkzS/f39VvWtm1brJ8/H5LkZByEsFqbCOAmhDoQMampGDtuHBb8+CNGjR0L\nZxcXpMpkkFosSIHgrVCLfy9AcCulQXim7CFUni4K4KB4PAMClaxEKkXpBg0wfvx4eHp6Zvv1NWvR\nDj/9RAyadRAGow169f4Eo0aNgrOzM6pUqYK/z/8NkxcRlA8Y8zlQqCWgUgBWyqBUqfHnWQMGD+2N\nvn37YvDgwdj5+6+Y3S8D1UoCizYBjRvWwpx5Pz8zfps2bVB82njUHpQAFzsLNh3SYvTYMXniXSVz\ne+fOnViwYAEAZN+7wLtaIO9LAGwE0O0Fx97VGHsrvCpubdq0qdTr9TQaDfT29qBWq6adnZlGo572\n9nbs3bsXO3f+lL179+LZs2e5fft2qlRKOjnZMiqqGO3tzaxUqRhDQ/25cuXK1xrzbZCenk6DWs1C\nAL8H+DPA9RDYFRwBFipUiEaJhKMBToCQEFVQJuOYMWOyXZdM5PUciHv37tHRrOfyamByV/CHCqCD\nBiwVHkqS3LhxIysHmch+4IASYAlX8LdG4LcVpHSyM/H69etZY27dupUVgkzkcHB5I9CgAre1B28O\nBNuEgw56KZs2qsdObT/htm3bWLl8aVYL0XBsLTDMS8cve3R7o+vERw9EjiK7vrtWq5Wuzs60g5DI\nqAMYJMYpqyCwMt2/f/+55wb5+bGEVMqOAFsAtNfpuG3btheOlZCQwFWrVnHDhg3ZWm05N57jDRs2\nsHBwMAO9vDhk4EBmZGQwOjqa48eOpZdWy24AXcX7aSuKAaCriwuL63TsKc5xtmIMd7VKlbItIfJj\nDgS0EGy1p3MgFuIDzYFITk6mWq2k2aymj48ttVoFq1f3Z/XqgVSrZcyf347kwCzJl89Eb28To6K8\neOxYGzo4mHjx4sU3Hvddv0fp6ekcMWwYg3x9qZbJ6KzTUQawuPhclAXYRvzraGfHmJgY2pnNdIGQ\nR6UE6KRUsmrlyjTp9fQwGqmSSimHkE/hACG3Qg6w4lPiYTJx48aNOXadd+/eZf5AL1Yrq2eTGlrq\ntVKWL65m95YK2pqVVKnkdLQBt38P/vUj6O0Kerkq2KiKjg52eu7bt4/R0dEcMqgv7c0K9m6OrKTq\ne1tAg171wrFv377N4V8NY68en/P3339/I70/1ByIXP/Rf65SwopEFQihdjIAn0BYofB7QftsuqVv\nhtf5pz948IAODvZs1aoRfX29uHnzIqakXOSpU9toa2ub1W7fvn10dXWhjY2RGo2KXbs24pw5g2lv\nb6avryd37tz52mO+KW7cuEGTXE4NBDYFP9F46C66I13t7DgI4AFRxgJ0UKn46NGjbNclE3ndgCDJ\nQYMG0UkroVwKhjuAJ1qAcpmUs2fNYlRkcdrpZDzcGjSrwJ9rgyvqg3FfgG0Lqzlt2rSsMS9evEgH\nk4ZXewrUru5G0EkP2mrAEGcJCwX78datW9y0aRNnzJjBEE89MyaAnATe+wbUaRR88ODBa+v90YDI\nWWTXd/f69euUy2S0AVgYYEOABcUfcDnADRs2vPDcpUuX0s/LiyaNhmqFgl8PH54tOr0p3vdzvHfv\nXtpotWwnzl/+Wi0H9e/P6OhoWq1WTps6VWCTE42wTANCDbBokSLUy+VUigaFHqCzvX22kkb81w0I\nYWgsAbBYNCbKALiPF7Awie1VAIIhlBRQAVC+pG0O3bHn48GDB9Tp1Pzrr85s1iyUkZFeLF7cjXXr\nBrFx42AaDEpev96N5EDGxHxGg0FNs1lPLy97mkw6Lly44K3Gzc7v0aNHj3jkyBG6OjqyhPg8dHxK\n3IxGHjp0iGvXruWwYcMY4OvLQB8f9undm6mpqYyPj2dUpUp0VSpZRQxXUogGhAJgsGg8hAM06HRZ\ni2c5cZ2DBvZlpyYK8izIs+D0IWDNsiBPgVt+AAO8wEWjwBA/0KQHC/rLaDkA8hC4dBRYomgwV65c\nSZNRxcUjwSAvMGEzyL3gpB5SRpQs9IZ3N2euMzvwv2xA2AM4AMETdg/AXwAqvqR99tzRHILZbOaY\nMYPZoUMzkrEkY5mScpEKhYIWi4VpaWl0dXXh6tWTSB7j0aPLqNNpaDTq6ObmxIYN69NiseSYfqmp\nqTRKJJwK8CbA60/FLGoABnt788unDIivAVYuXTrH9MlryMjI4NKlSzl69GguWbKEDx8+JEn+9ttv\nLOKhZ2pXkN3BI81Ag0bJ/E4aLq0BflMa1MpBgwIs5ADW8QUdtWCNAOW/OP+tVis7d+pInVrBEHcd\nbQwaVowszqKh/mzTohGjo6Pp4mBmZICeZo2UxT1BThLEMgG0f0Me6o8GRN5HXFwcPd3caIbAdiKH\nEHvcDGA+hYId2rZ9ZR8ZGRm8du1a1vf1v4DevXqxCsDxovQC6O3q+q82Z86coVarpUS8r5nsMUOG\nDKG9UslBAEcDrAwwLH/+XLqSnEUuGxBP14G4AqDpU8c8IOQ7uovbXqLhYBHFCuDyS/rOuZv2HMyc\nOZPe3nYkR9HT08S6dYO4Z08HfvddNdrbaxkcbE9nZx0rVcpHk0nFpk0b8cmTJ7xw4UKOLsC9DQ4e\nPEgbg4EKgK1E46EVQINazZiYmJeea9LrWQ3/5EL4AdTKZHTLfMakUpoMBm7atOmN9UpJSeHKlSv5\n008/8erVqy9s992k8bQ1yzlrOLIMiH3LwCLBIE+BV38HHWzAtnXBTg1BW5Oc33wG8pAgl9aAnu52\nPHPmDH08tOQBcFBbwdBwsQO93O2zvCMzdN4AACAASURBVEWXLl3i/PnzuXr16g82Nyo75oA8ycJE\nMgHA8+kDPkA0b94M69ZtxdmzF9C0aW2EhRXA0KETULlyFKRSKWJjYyGREPXqVQQAhIUFISIiDIUL\nB2HnzpNYvnwFpE9TC2QzlEolVFotSj15AkBw+ZQEsAhANwAzY2IwA8LMrYCQhDK4Vq0c0ycvwWKx\noEGtarh45E9cv58CnQL41CpHiRIlcPtGLB6lyFB4pQYlXSRYHwOo1VIsr5KIUHvh/N9jJciwArua\nEDIpsOwc8Nn2DMxt0AALFizApLGjkBB/G0ZZGtqFSbDhkgXt2nXAxCnTs3QoU7wQhpd5gFn7gYYh\nwLqzwIw/gagAYNZ+Bfz8/OHs7JxLd+gjcgL9+vSB7vZtFAFACFVetwKgRIIGNWti2syZr+xDJpPB\nw8MjhzXNW9Dr9UiWyYSysxDeUDX/rwKwv78/PDw8cO3SJaRlZEAKQK/R4NGjRyhgsUAvtisB4LuY\nmPep/n8CJO8DqP+CY7EQChdnbl/FP0Q+eQobNmzAiBGDkJSUjCNHbuDmzcf4++8voFYrULq0JzZv\nvgijUYk//rgKk0mJYcMisHz5QXz99VcYM2Z8bqv/DIoWLYprcXHo1KEDtqxfD5eMDNxSKNDuqZyS\nF8Gg1yMpMREacduiVqNGrVrw9/dHZGQkIiIiYDAY3riifXJyMipVLAkZL8PdBejzJbB23e/P5HGt\n+OUXzJz2Ffp2yMDMpUDdioBRDwyfDgR5A3cfAD2+BTIsQLFQIDEJeJKUgXnr1GhdMwUu9sCYhUqU\nKVMGFy9exJ2EJExbDgxoA7g7Al/NM+D4kTNwcHDAzp070bhhLVQpAVy+IcGU7/Jjy+9/QqlUvuAq\n/ofxrhZIXhDk4RAmUljh79+/H318fGhnZ0OTycgGDerz7t27JMknT57QZDLy5MlfSR7jnTs76OLi\nwK+//oz169d5qzHfFPUqV2ZnuZw3AJ6AEHPdXVz1DBHdmtUhFJgpD7CAt3eO6JGJvBLCtHnzZhZ0\n0dFBDe6oBfJT8GQj0KgAN9UEvy8nob1Ry3HjxvHEiRP0crHn6dYgewlSwgUcWhLkl4LEfgo62ug5\ndepU6pVgbX/QTgM+6g9yGHjnS9CkU/HmzZtZOrg6mLm6FVjQGbSOA8/0ASv4CrkSxcKCX8jE8yIg\n76w+vrQK7f87bzsEG1b6kjZvdB9yCtnx3S1drBhLPbWiVxxgqWLFXtsTmVdCZd6HHlu2bOHIkSO5\ncOFCXrlyhY42Niwrk7EmQFutlr/88sszety+fZuFQkNpkkjYFGA1qZQ6tZpuajU/AfglwKYAg/38\nslXXvPJ/yc05ICflfc4BtWpV5tKlTTlkSHna2mool0uZkNCf5AharcNZooQ7q1f3YaNGgczMgYiL\n+4J6veadw+Jy8ntktVq5YcMGTpgwgRs2bMjS9WVjLl26lEaNhkESCX1UKnp7er5RWO2L0L59e/rl\nkzI8FGxaB5w5GixRPPiZdh3bt+DM4aD1b3BoV1ClBOUysExEON1cbWk0qOniqOWiMSBPCTK2N1iq\nRBg1GgWVShmrVYnk/fv36Whv5E/DwRIhoEYF2hjBGtWrZs29BYK8uG48yL2gZQ9YpZSWc+bMeafr\n/FBDmPKkB+J/DUqlEmPGjMWYMWOz9sXGxmLKlMlISUlBw4aN8P3336NcuY4IDvbG+fNXUbx4CKZM\nWY4lS5a+Fx1/+Pln1KtSBX4nTiCdhB+AFQC+AnAGwI8AGkAIRD0E4O79++9Fr9zG3bt34aYFHicC\nFVyFfSG2QBEHQCYBugQT2+5I4ebmhtDQUHTs3BUt507A10WSEPMIOPtIjbuXJOhSKBm2auC7Y3KU\nKlECE0cNxeK6QMwDICEZMKiEvh10gJNRiXv37mV5FcILh2HN2d1ISreABPI7AVs6Ae7fANevxz2X\nhScPYyaEJEoHAOEANkgkkmMkz77oBIlE0gICmdDzmF3+JxFRrhx+OXUKDsnJIICbGg061qyZo57I\nDxGjRo7EtDFjkD8lBTc0GviXLo0DR4/i+xkzkPjoEb5s2hQVKlTIYiPJhKOjIx4mJKANCQ8AsFpx\nISUFNyQS7IZQ+0GpVmPH0vcz/37Ehwer1QqpVIJKlXzx2Wcl0LDhYpQrtwA9e5bAvn03ceuWFQkJ\nGShU6J+VablcCquViI+Px8WLF+Hp6Ql3d/dcvIpnIZFIUKNGDdSoUeO1z2nWrBk8PDywadMm2Nra\non379jCZ/j/Z1pvBYrFg/bpf0bC6FW0bA79tBSbPBZLTbj3T1mC0w5mLMkgkFnzdE/BwASYv9kFk\nZGV83i0MTZs2RfnIwti8+zi+GC04KEuEAgEBfti95xDS09OhVqtBEgn3HqNJZaC1GGTReTSwZd8O\nDBnUD6PHTMCt2wkoJpbtkEqBIgEp/2LS+k/hXS2QvCDIIyuPr4urV6/SxcWZ3bu354gRX9LR0YGb\nN2/mpUuXOHbsWNasWZ3e3l5Uq1VUq9UcPHjge6n+bLVaGR8fTy93d5oBLgB4X5QJEPicC0CoXtm8\nfv0c1yc3cfr0af7444+cP38+bfVqGhXgsYYgPwWvtQDt1eDFFqC1C1jWW89Vq1aRFO7h9CmTWbVs\nSTapW4PHjx9nt8+6UKcQOLGNahnXrVtHV1sdD7cH738JuujBZQ3BpIHgD7UkdHe04dKlS7PiLePi\n4hgeGkiNXPBC9IoE6waDVQNAtVL+xteGXFp9xFtUoYUQznAOQkijBR+AByI7kJyczNo1alClUFCl\nULBxgwYfbKxtTiEpKYlqhYIDxJyFkQDd9foswomXITY2lgalkr3FXIlBYiL1QAgkEX0gcOEnJCS8\nhyt5/8itOSCn5X3OAWvWrKGbmx2XLGnChQsb0dHRzNatW7Ny5fLs0qUT7927x5s3b9LFxZ6jR5fn\nxo1NWLSoMwsUCKCNjYEBAY40GDQMCwtmoUKBbNfuk3/VLPiv4+zZs/RwVdMaC/I6aI0Fg3zBKlGR\nWW3i4+NZoVxxKpVSKuRg0VA5uzRX0GSUMaKIml/3AEODVCyQ35OB/vkY6C3kQtzcCRYpAHbs0OaZ\nccuWCefQjhJaD4J/rwRd7MHV40EnByNJsl7tyuzWWMH03eDFFaCnq/a51b7zOrJjDsj1Bz475EN7\ncejfvx/79OnMzITq1avnsEyZf5KS27Ztzfbt6zM9/RDv3NnB0NBALlmy5L3pd/fuXdpIJM8YEK4Q\naF01AM0qFffv3//edHqf+GX5cjoYNWyVX8dQZz29Pd1pUoBaGRhuL4QvOWnAqWXAT/KrGB4SyKSk\npKzz4+LieO7cOaalpTEpKYlujrZcUgu09gXXNQAdbQxs0awRi7qApz8FZ1UXisXJpRJ6OJrpaqNm\n3YJG2ps0/GXZMpLkwL696eekYs/SYH4HsIgb2KmkjLWqVnjj68tFAyIMQOL/29cbwG8vOWc6BO54\nr/+SAZGJ+/fvZ0sowPNw+/ZtxsXFvZfFiUxYLBZu2LCBc+fO5YkTJ96pr9u3b1OvUnGUaECMBljQ\naOSaNWteel5SUhKdnZwoh0A32QFCgSwn0XjIFA+DgcePH38nHfMqPhoQ2YM1a9awTp2qrFevOjt1\nak9nZxvWrBlKBwcT580TwlratPmEfn62rFTJk336FKNSKaWTk4YVK7ozMNBMk0nJFSuqsXp1b7q7\n27FWrUpcvHgx27RpRl9fN4aHB7NgwUB6eTmzefMG/xkj4/Lly3Ry1DD5IsjrYPoV0M1Zyl27dvHW\nrVucOXMmC4YGsl0jOTP+BmN2gu4uSjZq1Ij53DVMOQXyPPjgMGjUg6EB4OKxyAph2vIDWLFckWfG\njY2NpW8+JyoVoE4DzhsKnlkBujqbSQpGS1SFklQopNRplZwxfer7vjXZgo8GRC6/OLxt3Nrnn3fl\ngAFduXr1HB4/vpX7969lWFjBrOOBgf48dUrIhyCPceLEL9m9+xfvNOabwtPZmTYAfwD4OYTqlCYI\nHNHlpKARoF4qeeP4+9dFbuVAWK1WmvVaHq0FsjWY8gnopFewd0Hw+ifg9prgxqqgrQp0MKo5csSI\nLDYNq9XKnp93oY1ORR8HPfP7enLTpk30d9KR/ZAlJX1MjI6OZsvmjWlUy+loVLFb167cv38/8zno\n+KAfyGHgsU9Bk17D2NhYmnQqJgwBORp8MlyoSB1ZsshbrZDmogHxRlVoIdQiOgKh1tcHY0DkhTj3\nl+mQlpbGBvXqUa1UUqtWs2yZMnz8+HGO62GxWFinTh3qtFoqZDLKpFJ+8sknb80wZ7VaWTAoiJVk\nMg4C2BygrcHwr/yh5+mxdetWSgE6i2KAQOmqBthNNB4+BWij12c7U05e+G6QuTcH5LTkxhyQScVt\nNGpZo4Y/GzTIz/nz69Fk0vPevXsMCwvi3r0tuGxZbQ4cWIJms5Jz51Yk+QXT0rqyVCln1q3rTWdn\nLRcvrsBlyyrS3l7DihVdee5cLS5cWIo2Nkru3l2BXboEMioqMs/kCL4Lfpw3lz4+jnRxMbFnjy7P\neFitVivLlS3JymW1/GEMWKeKmlWrlOHly5fp5mrLlg00bFYbdLQDz24BeREc9JmEzZo1Y4kwPXke\n5HkhL8LLDWxeC+zfAVkGxKR+EjZuWOO513njxg06OZo4tKOEi74Gg/20HDtm1L/apaSkZBs75scc\niI94beh0ekyfPhPHjp3HsWMnodWq0bZt+6zj7u5u2LPnGAoU8ANJ/PXXCRQvXum96Zeeng5HR0fc\nvnUL3wM4D8AfQHkAvwGoIQXmKoGQFCIgXz5s2r79GVaEDxUpKSl4kpyCQjbCtkoGFHeUY/bfVvga\nLPA2AF/uB7Qy4MajFMydNR0RkZGoUKECVq5ciejVi3C5eSrMqlSMPpKMji2b4N7DJ7iZCLjogfsp\nwOW7aXBzc8OiJb8gOjoaFSpUAACsWLEChV1lMImkMYWcAUtaCooUCoFOYYGdVtivVQKBbiaMHDMR\ndnZ2uXCXno/srEIrEeg6ZgDoQZKS16TvyAsV6TORl6qQPr39119/YdfWrXBIS4MEwNmDB9G3Tx80\nbdYs28c7duxY1vbEiROxdcsWpKamQgWBWmfJ4sVwdXXFuHHj3rj/Xbt2YejIkZjx3XeYdvQobGxs\nMHLw4KzcoRedf/PmTcghFBQAAFsI1XLdAPwg7k+XSjF6xAgcPnw4x+7HB1+F9iOy8Msvv0AuJ5o3\nD4bFQvTv/zv0ehVu3boFg8GE1q03IiXFgvR0C6xWID4+GQCgUMhQvboXli07j1GjiqJhQ2/07PkX\nrFYrjh1LwKFDd9GqlTfWr7+BmJgnmD49FAbDWiQnJ+fyFb8bNm3ahOHDu+PXn5Jgbwd06rEQXw3T\nYvS3E7PaSCQSDBk6EidPHMO+kwdRqnxB9Oz1JXp0/xTtGz3A119aAQATfgBGTAMWTwJWb5Pj6vUV\nkEosmL4IqF0RWLAKMOiAb3oCxRoCl2Ll0Ovk2LRHieidE56rn6urK/buO4pxY0bg/Il49B/SGK1a\nt/lXG5VK9dxz/1N4VwskLwjyyMrj6+Dhw4c0Go08e/YQyce8ffsybW1tefr0aZLCKl2fPl/SYNCz\ncuVSLF68IEuWLM4nT568F/3S09NZqVQpllKpWEcMV/ICmAgwFeBlcV+yRqjW2hdgPmdnkkJoQE7W\nq3hbPHr0iHv27OHp06dfGK6RlpbG8WPHsHXThnS0NbN7ftDSEjxSE3Qwajh58mTaaGQMsQEd1OB3\nJcH09uCWaqC9SccbN25w6JAhHFYM5OeCXG8j1IAYVRr0NIAt8oPOOrBB7Ro8ceIEC+X3pUwqZQH/\nfDx8+DB3795Ng0rCE51BDgMX1gP1SrBuAKhTghNrgPeGggsbg66ONi+sQvwqIHdzIF6rCi0EwyID\nQByAmwDuQGBhigMQ8YL+3+p+/NdQq0YNukEo8BQsPt9hBQu++kQRqampvHr16htXrP7pp5+oViqp\nALLqWxgA6nW6N72EN8KjR484YcIE9unTh1u2bOHixYspAxgoXr8JQsErewic9Y52drxw4UKO6pTb\nyK05IKclt+aAqlXLc/HieiSHkhzKefNq09ZWx5kzp9Ns1tLT00A/PxMPH27Kv/5qRA8PPZctq8qE\nhI709TUxONiGs2dHsnv3AqxZ043XrjXk3r3V6eqq4fbtFRkZ6cCVK0szLq421WrlB58P1e3zTpw0\nGuRDQQ7tBAuG5nthe6vVyrNnz/Lw4cOsV6cil00HeVWQjQtAbw8pCwRoaGuW8Noe8Ow2sGAQqNOC\nTvZSLhwHzhsN2tpoOHjwYM6YMeONCtr9LyI75oCPHoj3jNu3b8POzhZBQYEAAEdHB4SEBOPGjRsw\nGAwoUyYCCQkJsFisuHv3CS5fvopDhw5Dq9W+F/3Wr1+PRydPYntqKjYBOA7AB0L9BwBwhbBCt8Yi\nVPtpDGD8rVvwsDHjzuPHUMjlmDjpO3Tu2hUksXbtWpw7dw4FChRAzZo135gH+l1x+vRpVK9UDs6y\ndMQ9yUDVWnUxd9HiLD1IYuK4sZg8ZiSYlgyLhVDJgJ8vAXPPA0qNBrPnLUDjJk1Qrlw5DO3XGzd2\n70LPEGH1o4o7UNRRjiNHjsDP3x+zFuowMOMJ1HJg7RXAVQ8MKgFU9AQ2XwF2Ati1KxrVKpXDqGL3\n0bw6sOr8FdSqWgl+vt6o7A2UWQBIJUCGFdjWCijhBqw7D3yyGhi+UwV/Hy9s2LIcZrP5vd7LdwXJ\nJIlEsgrA1xKJpBMEFqbaAEo/p+1DiUTi+tQuTwjFJcMBJLwPfT80PH78GKNHjcL/sXfmcTaX7R//\nnH3f5pwzq9kYYxuMnWFM9n3JGlqQFkL2VA+l/XlUPFpoIZS0aPmptHiKpIQnUiparEWiZGeY8/79\ncY55KERRqvm8XteLc869XPd9f+f+3td9bV+uXau8hg01ePBgmUymn5UrV768lr75pjh0SAZJh8xm\nlc3OPq0+3nzzTXW68EJFiookg0HPzpmjli1bnlbd2rVrq4ifK6cM5zCy1L59+1SzRg19s3mzDh88\nqH9PnKiioiKhqGbVqqi67BJJbkWjL728b59SUlLOGU8l+OvBZrPp2EcbUJUqVXTjjaO1bFlP9e//\nhoYPr6rq1eMlSbfdVlcDBixSYSGqXbuW7HaHrrtusRwO6c03myk11aXUVJcGDCinq69ert27D2ve\nvK0aMOBDJScHddFF3VRQ0EiXX365XC7XHzTqXw+fL07rNpgVvSOS1m3QSaM2FRUV6eJenbRo0XzF\n+c3aucukL9faVa/6QZnN0m33O1S3fhvFBRP09ecPKDX21vhwnmQtK9WsWVcPv7hPcXFxevmV21Wv\nXr1T8nbw4EFt27ZNiYmJJVqGX8JvlUDOB9KfyAfiwIEDJCYmMnfu08Aeli1biNPpoEOHDjRokMeY\nMUOIRDaxceP7pKYm065dc+6+++7f1OeZYOrUqfRwOtkr8aBEx5ht8NMSW2IaB0/su8ESVSX8BjHU\nIYpC4os4UcrlZPHixQzsdzmV/S6GB81U9LkYPvCa0+bjbI2zbtUcHs41QAexr42omejiqZhjMkDP\n7l0p7xWLGombK4mARbzbXBzsIZqm2rjn7vHHtbd3717cDisbugv6iX29RWbQxdKlSykqKqJTu1ak\nxTmom+El7HNRLcnKvoEiMkSMqim6ZYt6GW7SQw4YJRZcJBglaqR7sZiM7B8lCkeL+5tHNQ+MjVJk\njLCadFayCusPvH3UGWSh/Um9Eh+IU+DgwYNUqViRbJuNehJhm42Le/Qo/n39+vUsX76cPXv2sGvX\nLnIqViTo8RD2eklLTeWbb775xT5+/PFHPG43wVhAhWBMe3AqP5yfzsXDDz+M4RifA6PBgMVioVbN\nmixbtuys36zOmDEDr8uFLaY5NUi4Y9oPi4RJolRsLztKLpPpFzPv/lqU+ED89c4CCxYsYN68eSQm\nBpgxoz033ZSP02mlSZMmVK+eBoykQ4cyPPJI1O8BBnHbbXXp2bPrcVrkhQsXkpwc4OWXGwOXApdy\nySVZ1K5dm9zcini9Flq2TCQ52c4ll6TTrl0aNWrksG/fPg4fPsxtt91My5b59O7d45QZm3/LOM8W\ntm7dSnp6PL17WRkxyEQo5Dxh+wsWLGDKlCkU5Dk5sFGwTYy7zkROxTQCfic+n4PhwwZy4MABOnZo\nS0JIfL9SsF7Mf1zE+UXfbgYS472sXbv2F/maN28eHredlEQnoaCb+fPnn7Uxnwp/Vh+IP/wP/mzQ\nn0mAAHjvvffw+bwEAgECgQDPPDOLhg0bYLGY2b37M45GZ7rmmsuoXTuX8eP/d4g91w/a2rVrCTmd\nvCSxSFFn6dAxQkMg9p0j9vKtbxZug9gZFISjNNRjZuTIkSS4HOzOEJQWO9NF0GE/7Y3tbI0zzuNk\nW0tBhyhdn21g3LhxACxevJiA1cD7TQTdxIILxJ2VxZDygovF5Nriku6df9bmpAn3Uirg5IrKDjLj\n7FTOzmTAlZfTonFDfE4rPoeV2tWqsHnzZnp06YDbIlLdIuwQuSHhsZvwOCzsGBQVIL64QgQcRlwW\nAzkhsbyP+PjKaGSmVVdFhYdJLUVqQuCszEnJ4eHc4vd+GWzcuJGqOTn4JHpJXCzRSMJusfDDDz8w\nZPBgnHY7Ia+XUFwcH374IYcOHeKtt95i/vz57N27t7it5cuXM3fuXBYtWsTEiRN56KGHiqNArVix\ngoDXS3JMgEiWCPp8vPfeeyfl7URzsXbtWtq3a4fFbMYZ20/sioY5dtpszJo166zNzQMPPIDH4cAu\nYY0JLuEYBaPKByyxORscuzCxGAzHRVU7mygRIP56e8DRNZ07dy7BoItg0EGLFhl4vVYcDgvLll3M\n++/3Ii7OzujRNRgyJJdQyMenn376s7Zee+01wmEvI0dWpmfPbBISggQCTu69tyoTJuTidpuZObM2\nCxZcwJo1LYmPt2MyGYiP91CjRoiXXqrBmDHZlCoVPqVgf/DgwTOOvnY6z+6hQ4f46KOPeP311+nc\nuQX5+VUYO3b0CS8GvvvuO+6++25uveUWPvroI7Zt28aDDz7IpEmT2LBhQ3GfQ64dwPibBNui9Nli\nkZEePK6tAf370rCOA7dLBAOicrnovwtmC9aL1o1EXJyHb7/99qS879ixg1DQxX03CFaLBdNEKOg+\nZ1HwjkWJAPE32zR+KypUqECnTh2oUKE8BQX5XHFFH9xuFy+/PB3YzKFDX1GlSnmcTkfxH9Pvhdde\ne40yiYk4LRaS/H6cEn1iL917Ja5TNFN1QOJelyhrEq/7BGFxJCQa+lzcdNNNVA96obSKqVLAw8qV\nK3/XsTSsVZ17Kxuhg9jZWlSOdxXnbLhp7FgyXeL1hoJuURpZToyqKA71EI0SRFIwcEL/k9mzZ1Or\nRg38dhP31BW31BRui1jWSRReKS6qYGfYoAEAjL7uOuwmMa2JWNBJVEuyUJBXm5SAnbopRnx2A9fW\nNLDpavFEm6jgkJPiJDenPE6bGbvFSHpy+LRuUE4HJYeHvw4OHTpERloayUYjodhB+GKJnhIum42n\nn34av8tFFYnqEhkSWaVL/6ydSCRCv7598TqdhF0ujBI+i4WQ00mplBR27NjBtm3bcNjtxOuYkM52\nO5s3bz5jvt9++20CXm+xL4Q/drjvJOFzOs/as7527VpcTie2mKBgPUaAiItpJOJiv7liPPisVpYt\nW3ZW+j9fUbIHnH1MnTqVQMDO9u3XACP57LO+2Gwm/H43mZkhrFYTDocFt9vB7NmzT9rOihUruO22\nW2nbtiVxcTamTKkBdAO68eijNenYMZnDh7uQleVi0qSKHDjQghdfrEF8vJXvvmsCtKZx4yApKfHc\nc8/d7N27t9g38eOPP6ZChQzMZiPJyUHefPPNszb+b775hpycTEqXduF0irvvNvPWWxaaNXNx1VWX\nFZdbvnw5/a/uw4D+fXnooYeoUCEVp9OK12umZ1c7/S6zER/v4eOPPwbgoYceonZ1Y7EGYsxw4fcZ\n+eqrr4Do3uVwmPluhRh6eTRkq9Ui1r4pWB+lft1FXg0jt91660n5f++996hV1VccpYnVonJ5Lx98\n8MFZm6PzCWdjDyhJa/oHoajoiPbv369Zsx7VpZdepFmznpbFYtbFF1+rli0vVrVqrbRly3fq2bOX\nmjdvqqys0rr++tG/C28tWrTQl1u3al9hobbs3CmP3a7vJDWRdLukLyV5JB2W9PgB6V6X1Gu31HmX\nlLNTclatriFDhug7g0XT9ki7ItJDewzaa7WrXLlyv8sYjmLa7Gf04I+JKveuR2XetqtJl0vUsWNH\nSVIgLk6JLrP6LJMmfS7942Pp/i+lOZukrP+TvGYpw3ZQ8+bNO67NlStXatDV/bTriw80pX6RhlWR\nxlSXbsyVHv1MspikPqUPasWyJQL0yerVGlRV6lNJuqCU9ETjw/r0k08kUG4IFR5B9zZCqV6pVyUp\nL92u9pcN0X8/XK3d+w7q2+0/aP3X25R9mnbqJfj7YO3atdq7c6eyIxHtl/SRot7my6xW1apVS1u2\nbJHryJFiZze/pPUbNhw9bBVj4cKFmvP000rav1/hffuUKmnv4cPy79+vA999p4kTJyo+Pl7j775b\nex0OFXq92mW1qnGTJnrzzTdVWFh4Rnz7/X4VHjlSHK4roqg1dKKkNJNJH3744a+aj88//1zLli3T\nvn37JEnZ2dma9+qryihXTp64OBntdu01GHRA0i5FfSAukTRSUrcYDwGb7U8f5aYEvz++/fZblSsX\np1Ao6q9YvnxQbrdFU6fO0A8/HNDLL7fR/v1X69lnm+naawcUP6OS9OKLL6pNm8Zq06axvvnmG7Vq\n1VorV76vvLyg3O7/uaq63WatXr1bS5Z8r/37j2jQoAzZ7SZ16JCgihXd+vDD3ZIkh8Mou32P7rxz\ntOLjvXK7HbrzzlvVrl0zjRqFNr9JngAAIABJREFUCguraubMgC666EJ9++3PMzv/Ggwa1EcdO36t\n0aP3q2NHo4YPN6lRI6OefvqwZsyYJUDvvfeeWrUqUEbqY0ovNU3Dhl6lvhdvVq/uhbqqzxHNevSg\nHpl0SGNG7tXYMcMkSaVLl9baLyPKrCVVypcemiHFByN65plnBOiKfheLyBHtPyBt/U7Kqyk1bSAN\nu13670fSjOekF+dLtapEtGfPrpPyn5qaqq82HdLGLdHPX22SNm8tPO8yhZ9X+K0SyPlA+pOZMAG4\nXE6+/34jkchu2rdvTdu2rZg27UEuuCAfn89LrVrVqFixAk6ng1tvHcHkyXcQF+enU6ffPwN0x3bt\nCMVuCV+Q2CqxWdEoJkkxm+JkRaOZJIfDHDlyhKKiIlatWkWN8uVwmM34zEYsJhOdWrY4LZXgiea2\nqKiIZ599lnvuuYd33nnntPk/ePAgq1ev/lnUhd27d1M5uwx5iTaqBwzYjNEbyvebiU9ai8hFon5I\nmI2idHI8g666gj179tCxVTPSXMJvFa+2ElwZpSkNRI8s0TEzWsdrN9Mgry5em5GrKwsGR2lxF2Ex\nig2Xi9cvFA6z2DpAMEocGSGqljq3tpcquX08p/g91dHr1q3DbbfTSKKBosnQbAYDBfn57Nmzh9df\nf/20NBDTpk0jyeUqjsxUIXY7XyZmwnhFv37FZT///HMGDRyI027Hbzbjd7moW6fOCc0UTjYXkUiE\nLp0744n5J1hj/F0rEXa5WLJkyRnNQ1FRERe2a4fXZiPN4yElPp41a9b8jI9t27ZRs0YNTDGtQ7qi\nOW66SoxTNApTqYSE48y6ziZKTJj+envA0TVds2YNLlfUZAlG8txzHfB67cyfP5+8vEyO+j/AIMqX\nTyq+YY9mtA7wzDNNeOqpxsTFuUhPT6J582ReeCGf1FQnc+c24KWXGhAO26hTJ0BcnAWbzcg33zQG\nWrN3b3Pi462MH1+e0aNLk5np4I47SlO5sgu/38wLL1QgI8NLSooLqF5MNWs68XgcXHtt/1/0P/rp\ns7tv3z6uvPIS0tKCVK1ahrS0OJ55RowcKfLzxc6dVsDGN99YcbmsHDp0iNzcstSpLUYOEzu3icn3\niW6dRY+uYsYUFUdlenOuaJhflQULFnDdqFFUriB8XpGeKh6+J/r/u+66i2XLlpGZ7uIfg0VygshI\nFX27icxUkV9bZGeKcFDcd7NIiHfw7rvvnnKM902agN9rpUW+j3DQwUNTHjzTx+FXocSE6W+2acBv\nW/RQKMSaNR+wZcsXxMUFWLLkTcLhEL16dSMvrw6BQIBwOMQNNwziqE/Ea689jtfr/tXhO38t/vOf\n/2CO2ShviAkQWxVN3HSPxFUSNWMv4uHDhhHvsOM2CLfZxDVXX02yy8mHYbEnUfTxW7mofbvj2v/m\nm29o2bABIY+bGhXKsXz58p/NbVFREV3atqZWyMWgUlZSvU5uG3czCxYs+E0Oj3v27GHKlCn885//\n5KJuXfFZjbRJFgsai1sqizSnWN1KZLhE4xQLLRvlUyrkw2cRN+WK8r5ocrm5LUSc3UCc3cgl2WJv\nP/FhVxGwiaYpwmkW19cUDzcWCU7hsBiJDBELuohb80S6V4zNE83KOml+QX2OHDnyq8f0Syg5PJxb\n/J4vg0gkwsU9exLvclFGItHppHPHjrz11lvFZYYMHozLbicc84E4kRnhypUrcTudZMUEiMTYoT5d\nwut08n//93/H9el0OAjHLg6SJPxuN88999zP2j3VXBQVFfHkk0/SpUsXnFYrlTwewi4X11x11RnN\nQVFREXn16hGUGC0xVqKVwUCtqlVPyEezpk2xS4yKCQ0DYqZLtSVCbvc5c6D+KR9/JEr2gLOHY9d0\n6tRHcTqteDw2AgE3CxcuZN26dYRCXrZs6csXX1xC27YZxMXZufzy3qxYsYJ27Zry5JONgCtYvrwj\ngYCVe++tSThsY9269jzzTH2qVfMTF2ejUaNEoBPTplXH5zOTmmpnwIA0ypZ14fdbqVTJyZVXJrNu\nXT2aNAlw331lKVPGzgMPZDFuXDoOh5kNGyoB1dm1qyrJyRbeeCOLRo1CjBlz3WmPE6B37+507uzh\nyy/djB9vw+EQmZkGHA4RDIpAQKSkiEDAQF5eLt26taVhvpHZj4vL+4hquWLmNFG9mpj6oMipIL76\nUGxZK/Lz7Nx8840sWLCAmjXKc2l38d0aseBFERcQbpfYsGEDL7/8Ms0v8PLpAhGOEz9+LNgotn0Q\nDeHqdZtITPSTW6U0L7zwwknHtnbtWt5//3327NnDzJkzefnll3/XUM4lAsTfbNP4rZg4cQJlypRm\n3Lgb8XjcFBQ0YPr0KcAeIpHddOlyIVlZpbnrrus5KkAsXvw8KSmJ9Ohx0e/O77gxY/BKDJL4RmJh\nzAa6RUxwsCsqMMQbxXt+sTogapuFy2TkOo8BkgXJYkuCCHvcxe1GIhFqVCzPPxJMbM0WT6aIBJ+X\nbdu2Hdf/ggULqBjn5lAtQR2xPldYDCIv0UvQZef+iRMBWLp0KY8++iiLFi36VeNcs2YNbZo3IWAV\nnUqJ9e0EPcSoCuLWqiLgsuF1WGlbSkR6i8n1RL34qKAwZcoUfE4bWy8T9I/SqFxxW22xtFPURyLb\nLxokCp/NwA11jOzsL17qIDxOG4MGDmTixIkcOnTo1y/UaaDk8PDXQlFREdOnT2fY0KFMnTr1hMLn\nsVGYTobJkydjs1pxORw47XasFgs+j4cJEyYcV66wsBCj0UiSjnGmdjp5+OGHf/UYvvzyS+bMmcP7\n779/xnVnzZqFzWKhfkx4GCsxTMLncvHpp58ybtw47rzzzmJfDZ/TSUZMeDhKdomCvLyf7Tt/VZTs\nAecOhYWFbN269bi/w3/96w7i4714vVZuv70O8+e3Iz8/iWDQTkpKgBkzCoAruP76qowZUwW4lAcf\nrI3XayElxUliYhz33nsv5csH2bOnPRMmVOGqq9JZuDCPiRNzGD68NFarsNmMeDwmEhIsdO4cprCw\ngLJlHbz+eg7du6fQsWNbQiEH4bCZuDgTCQlm1qypwOLF2dSqVeGMxhkIOPn2Ww9FRV6SkgzMm2cD\nXEydaiUQELNnG5g1y0B8vKhf34LTYWD/j4JDInIwKkCEQyI+LJpcIOLizDidRmw2ER82U7FiOl9/\n/TV2u5nd6wU7onT5xaJHLMLc1q1bCYfc/OtGUa+6inNDsFFkptmYM2fOCXk/cuQI140aQnKSn2DA\nht9rpnplL2mpoeKcXH91lAgQ59Gm8WvwwgsvMGBAf9LSUgmFgnz88VJgD7CHe+65g27dOhEOB5k9\n+37mz3+SnJxy3HTTYJKSEv8QfqdNm0bIbscUu51somi0l30GccggykpMdqs4GtPbPhE2iOZOE5Ek\nQbJ4I05USEstbnPLli0EnXb2lhOflRG7yomWiV7mzp17XN/PPvssHUp5oY6gjojUFl6T2FFHbKgp\nQi4HN4waSSmfk8syXJQOuBg5ZDDz5s3j2WefPWX0hWMxb948wl4nSQ7xXANBD1HYPWrK9Ghd4bZb\nKF86jWSH+KGnoI9Y0V44rSYmTZpEYsDN/HaC/iJytWiTLqY0jH4u4xVxNrGpj3iqpUjw2nE7bGSn\nJ3P99deTmRKPw2omHPDw2muvndW1OxYlh4cSnAz79u1j8+bNv6gBq1e3Ln6LhURFoxm5nM5ik6FI\nJML333/P7t27fw+WGTNmDLYYH9fFBIjmEjnZ2fhcLvJMJmqbzYT9fr766qti86X+MeGhu6KRlw4f\nPvy78Hs+oGQP+P1x22230bFjWaA/0J9duy7HajXSpk06fr+dhx5qQLt2qVx1VTZHw7j+3/9dQGKi\nn3379lFYWEh8vJekJDvly7spKAgSibRj/fqmxMVZWLq0DtCcadMq4febmTu3MldckUwgYKagIIHq\n1SuyZs0anE4jY8Yk8sYbWTRp4iEUMjF5ciotWjQ4Ke8HDhzgo48+YvPmzRQWFnLw4EHS0kIsX+5i\n+3YPfr8AF+CiQwcjs2YZABNg4rHHDLRtK5xOUbhXcChK1XLFqOHilRdFQoKVYcOGUb+uk31bReRH\nMWaUiQ7tm5CcHOC//xHsEJHtokmBg+nTpxfztnDhQtJSwzjsYs5kUfilmDZepKWGOHDgwAnHc/tt\nN1O/ppMv3xQfviSy0sUzk8SUWw3UrV3pbC35eY0SAeIP3jTOltrpuuuuIxgM0KlTe/bv/45Nmz6j\nXLmyzJnzBPPnzyUhIUz16jncf/84br11GLm5p5819mzgp+NMCQToHrO3HiNxr0G8YBAXSoxyqFiA\neMIj0gzCZRB5VtHPaybscvLqq68Wt7Vnzx5sZhMhk8iyCL9RlHLZmBjTKBzFpk2bCHlcvFpO7K0p\nxqWIXJeI1Bc0EHUTPLhtFr6uKygQP+QJv8VA5ZCL9ukeEuN8rFq16qRjfP7552ndtDHxXhez6oj3\nGouwTTQMizJuUTsoLkh10Ltnd5YsWYLfYSFsFw0ThcssSgesXJnjwGMz4baIKyuKegmigl/svlxM\nbxzNSv1Bd8Fg8W5XkVs+kzE33kjAbcdjNTCrtWC4WNQ9mt16y5YtZ3Udj6Lk8HBucT6YqZxrHr77\n7jsuKCjAZrORlJhY/De9Z88emjRsiMNqxWax0KpFi1+dnb6oqIixY8cSHx9PXCBAv8svP+GB4Omn\nn8ZpsxWHavVKWA0GcnNyaCfxD4m8mC9HqXAYc8zHwxzTPJglvOc4G/ZRnA/PBpTsAWcTp7umTzzx\nBK1bl+GoALF9e29sNhMLF3agfPlMevbsRO3auXg8FkaMqMjEibVISXFgs1mIRCKsX7+elBQfK1cW\nMHRoJgkJVsqWddK8eZj8fD/QvJh8PjP5+T4uuigen8+E1xvVxg0ePJhAwITXa8LrNTJzZjomk/B6\nHSeNPLZmzRoyMxNJTXXh9ZqxWIxYrSbq1q1KXJyF3FwjgYAYN84CuGjVysjMmf8TIB55xEDnzsLj\nEV07W5k/L+oDkV1W7P1BTHtYJCcZadeuFeNvVbEfxGfLRXJygFlPPE5igoMR15hp1dRJndo5J9wH\nlixZQnbZFIxGA5VzSvPRRx+ddC3y6lZk4SzBl1F65HZxWSfx3VLhcllPaz3PJkpMmP5mmwacvUVf\nvXo1Doed+vVrY7VasVot1KlTi2XLFjJ27PX4/T4aNqxDnz7d8Hq9v/vD9tP+Hpo8mQyns9iJeqBE\nrqIOl06JK+3iOkfUudonsSZR3OETAauFKVOmHNfWvn378Fgt5NtFjlW0dwq3yXDCMHcLFiwgKyUJ\nm9mM32LkmXKCBuLjasLntFE2zgUFKqZct3irpqCFeKSSaFS35gnHN/mB+ykd52RoGTGodDSZXK5f\nNA6LgrDIrZJDz07tuXf8+OKb2Y0bN3LLLbfQqVMnKoQdHL5M0Ed81CGa8C03bCY/MWq2ZDSIrNRE\n/C47M5qJee1FxUQnt992C26HlXkXilSPYPj/qEm275xpIUoOD+cW58Mh8VgeFi1aRIWyZQn6/XRq\n3/6MfaiOHDnCPffcQ9vWrRk4cOAp48tf0bcvlWw2+ktcKZFgszHp3/8+Y/4jkQgFBQUYFA2v6pFw\nmM306tXrZ2X/8Y9/YDGZMCqa18GuWJ4ao5E2sT3KFDO3bB/73RsTNo4mk2vZvPkZ8/hrcD48G1Cy\nB5xNnO6a7ty5k5SUMIMG5TBrVhPq1Iln2LCqDBhQiR49ovmGHnnkES68sDSjRlWgf/+yPP98Pna7\nlaKiInbt2oXbbeett+rh85kZOrQ0I0aUweEwkpxsY9euxkBzPvusPh6PiQMHCoDGDB5citatg3Tt\n2pbERD+PPJIB1GblykqEQmZMJnHxxT04ePDgCfmuUyeH++8PMmqUh2rVLGzfnsjBg8l07uzF4zHw\n8MMOZs1yEAwaSEkRNpvwesWjjxp46CEDwaCoW1eUKydycjKpVSsbj1sMGiBuGStCIdGkkZXExCD1\nahk4+J1gl7jzJhN1akcvS5csWcKdd97Jww8//Is5Wk7nwqJ1y3ym3qliAeK6q8Tgy8SksQZyKpY5\nrfU8mygRIP5mm8bZxn333YfX68FgMODxeGjSpDFVq1ahU6cL+eKLL5g9ezYPPfTQ7+rYcyrMnj0b\nu9HIJokjEntiGomuEimxF35A4oN4QWqU7vSJEUOGHNfOBx98gNsobg+JleniCp8IW4y/eHh+4403\nCHndZAc9+J0OZjz2GKXCQZ6sICINxauVhd8sdjQStBCf1RdZKQknbCszKcx/LxBcKHqniWbxYkS2\nKAgJm1E8/fTTP6uzdetWWjXKx22PaiLebSPoI4p6C4vJyN13383NN93Eu+++y4EDBygqKuLtt9+m\nTZN8GterwZQHH2D58uVUTfWye1A098NXlwuGi53XiJQ45ylvUH4LSg4Pfx+sW7cOr8tFfYm2EtlW\nK00uuOCM2ri8b1/inE4SJEIWCxnp6SeNUlS5XDk6xy4VBko0luje+efJGH8JixYtwmqxYNX/8kR4\nY6ZSx+LLL7/E4XDgjQkCHkXzOsTFhAizog7STY7xd8hWNBpVX4neivpypSUnn9PABecbSvaAPwZr\n1qwhGHSTlOQkGLSRkeEmFPIU+95s3ryZhIQADzxQi3ffbUabNhn07t2zuP499/yTUMjO7beXB9oD\n7Zk8uQqlStlITbXTqlUIj8fM6NFpQGOOHGlEfr6Pf/wjlVq1KhIIOIDaxdSsmZdQyETbtkHatGl8\nwuRybreNnTtT6dvXxUMP+YEUIIX33w9TpowR8AE+XnzRSVKSgYkTLbRsGdVKlC0bjch0yy0GZs6M\nOlY/PnMGtWpVok4tA9dcJR6YEDVvunOcaHpB1CeifLaFrKxk1q9fTyQSYeqjj3L1VZdxx+23nTAv\n05li6dKlhIIuru1jondnI05H1GciIy3+rOWgOd9xNvaAkjwQ5wGKioo0ffp0XXnlVVq1apVuvPFG\nffLJp9q6davmzn1JnTt3UvXq1XXllVcqKyvrj2ZXklSvXj3F2e1Kjn12SKooqaGkNKk4vvsHh6P/\nbi+S5hw0aM0XX2jDhg2SosLre++9p9IW6YaglGuXpiRIh4oislgsp+y/WbNmWv/NVr2w6H1t2LJV\nl/burbmvz9dNe1NkXWzUZZvcCrjsikgqQpqwxap6efVP2NahwsPyWaQI0uyvpbBNWvaD1C1VuiAs\n3T72BhUVFRWXB9SueRN9uuwdJVsOy22WWr0hffqjdPMqk2rl5mj48OEaOmyY7ho3Rl6PS26nXRPu\nvUdN2lyoR2c9q6v6D1BmZqY2/3hEX+6UxjeU6s2W2r8oVXvaqV69+6ly5cq/bnFKUIIYFixYoERQ\nKUkuSVUKC7Xg7bd1+PDh06p/8OBBzZgxQ/79++WVFDh8WPt++EFvvPHGCctnZGZqizH6WkHSNptN\nZcqWPWO+d+zYIZPJVLyPSNFcETa7/bhy33zzjRxW6wlfZMTqmCSZj/n+R0mVJBlj31eQ9P22bfro\no4/OmM8SlOBMUK5cOS1d+qFq1cpXKJSk3NwCzZ+/SJMmTdSwYYO1fv16/ec/i/Tqqz4NHbpVOTmd\nNGXKtOL6w4aNUrVqNZSe7iz+LjXVIbs9oJycPNWocbXGj79fU6Z8p27dVqtevf/Kbjfok0+KlJdX\noKIi6eOP90uS9uwp0iefHNDzz5fS88/Ha9Wq5fr8889/xnN2doZefHG/kpNNev/9wqOCmpYsKZTX\naziubHy8QePGHdaXX6JDh6TkZOmll4y6+mqDJk2SHA5p0OCrNHPmHMUFG2jmkzbdPt6nJheYNXq4\n9MZL0lMzpC3fGrVq1RfKyMjQsKEDNPmBwapUeoZWLLtVjRrV0aJFi/T111//4nwD+uGHH7Rr1y7d\ncP1w5devoq6dWykQCGjxux/InTxa8xb5VKGsQ4mh6H7jcDh+zdL+PfFbJZDzgfQnN2H64osvSEtL\nK5b+N2zYgNvtYvHiV4lEfuD++/9FuXLZRCKRP0TVdaI+jxw5QrnUVMYbDOyWeF7R7K7xElONYpNZ\njDJEbw172YXPIDpZRT+fjbDHzYoVK+jQvBl2o8gwiyPZgnJid1lhN4hGDRsycuhQVq1adcrIMSfC\ngQMHiEQiXNi2DRaDsBpFdmoS27dv/1nZHTt20OeSXtRNdPDvHGE3Rk2Y9nUUdBGHO4kyfhtLly4t\nrvP999/jsRq5IktEeomiXqJrWlRb0bBO9eJ8E5de1IXelax81VOkuESX0qJfjpmw310cSvPmm24i\n4HFQpZQXj9PGNQMGsHjx4jMa75lCJbeP5xTng5nKUR6effZZUt1uukl0VjRikiFm8z9p0qRfbGff\nvn2YTSbKKBokoWzsZt9oNNK5U6efRQxbv349yeEwWV4vaR4PpdPSip2pP/jgAyqWL4/H7aagYcNT\n+vh8/fXXuFwuDMdoEYwGA4888shx5bZv347b5cIVM00yxrQQrtg4bTGyKJrlumfscxWJfhKXx8bk\ntViO+xs/Vzgfng0o2QPOJn7Lmm7atInk5DBDhuRw5501SEz08eKLL56yzqxZj5OS4mXp0nxWriyg\nSpUwDz5433FlPvvsMxo1aojZbMRmM9GpU2v279/PrFmPEww6ad8+gaQkCwMHxgEViUQqkJXlP6HW\ne9WqVaSkBMnKcuPxGKhVy0LTpjY8HjOBgJ1HHvmfCZPbLVassAA2Fi4043ZHTZrsdlGvnujeXeTk\neI8LJX3//ffTo6sd9gr2itXLhM9nYeSIITz++OM4nRZ2bhDsFEXfi3JlRdksJ36/jfH/uvOk8/Td\nd9/RoH41PB4rVquBCllmFjwlxt9gJDkpwLZt27hmQD/yaxm5uqe4/yZx4wAjLZoVnMkSnhWUmDD9\nzTYNOHuL/vXXXxMXF1dsFvD000/TqFE+sLOY4uLi+Pbbb88bAQKi5gOpPh/mmK+DX1FHxUeNAouI\nmKMCRZ5JjDjGufoBt6iaVZoaNrE4SQSMooNL3Bcv6tmF2yCaOkV9pzAbhMNsom2TRqctSGzfvp1p\n06aR4nXwZnWxrJZokODk5htvOK7czOmP4XfZqRTvwWu3UCohREZSPEGriHQWdIlSrWQPb7/9dnG9\ngwcP4reKeY0EF0dpTkORX7Pqce1nJIX4oqe4trIYUVXFoV0fbCiaNaxbPLfff/89H3zwwSlty88m\nSg4P5xbnwyHxKA8HDx6kepUqZDgcxMUEiA6KRikKOI8PaHAytG/XjqDDQUrMNMgkkRoTJC7v2/dn\n5X/88UdeeuklXn/9dV5//XUgmsDN5/UW8xAwmahQvvwJTSaO4q233sLpdKKYb0N+fv4Jk13Nnz8f\nr8eDxWLB6XCQXbYs9fPySE1JwSaRcwJhwqpo1CZvbBxlMzJOagN+NnE+PBtQsgecTfyWNb3xxusZ\nMiSHXbt60adPWTIy3CQkeE6Yq+VY9OjRg3DYSzDo5YYbrmPPnj3069ebatUq0qNHF+bNm0ft2pUI\nhWyYzQYaNarLunXrKCioTWqqh4QEJ16vlcGD41m0KJ2BAxOoWbPSSSOR7dq1iwEDBpCY6GDCBC+P\nPuqnfXsvbds2p0uXlnTo0Jhw2E+lSgbAVkwZGSZ8PpGVJRISRFxclFq3LmD16tVA9BIvIyOBQVeb\neeBekZIsul0ohlxjJhTy4vNaObJDsDNK+fVEbmXh9QiLRVzR79IT7iOdLmzBkH4WijaJb1eK8mXE\ni48INopOrZyMHTuWUskemtSPJpprVE80rieqVS37q9fz16JEgPibbRpnG3379qV+/fpMmDCBOnXq\nUKpUMvv2fQPs5PPP/4vb7f5dXnBnigubNuXS2Et6ocSriiafmmMU283RW8F0o5juUbEA8ZZPpLid\nTAiKSKbo5BRppqjwkGYWjWzCYxDV7GJHJVFYRfSKt3F170t/kZ9/jBqJ124l0WEmxSq+yhM0FUt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ymoX5977r77uJdsJBLhsksuwet0kuDzEQwETssuePv27fhcLtoqGiK1pUTA4ynWKPwUXo+H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\n",
|
||
"text/plain": [
|
||
"<matplotlib.figure.Figure at 0x10ebdac88>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"from sklearn.decomposition import KernelPCA\n",
|
||
"\n",
|
||
"X, t = make_swiss_roll(n_samples=1000, noise=0.2, random_state=42)\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": 47,
|
||
"metadata": {
|
||
"collapsed": false
|
||
},
|
||
"outputs": [
|
||
{
|
||
"name": "stdout",
|
||
"output_type": "stream",
|
||
"text": [
|
||
"Saving figure preimage_plot\n"
|
||
]
|
||
},
|
||
{
|
||
"data": {
|
||
"image/png": 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p1FY8EXJUo4nPakWn1XJx61asdXUYtFoQRRQqFUkzZ2K3WqnYtYtpixdjDvrj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\nW86TiekxvwAAAABJRU5ErkJggg==\n",
|
||
"text/plain": [
|
||
"<matplotlib.figure.Figure at 0x10d40e940>"
|
||
]
|
||
},
|
||
"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": 48,
|
||
"metadata": {
|
||
"collapsed": false
|
||
},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"image/png": 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xx44x2lAAqlJSqM7I4NkOHbgXoF+rVlxvEHr0unUv/M4VMTH0q1SJtxcsYJCXFy/378/L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\nw/AAZuiG4QHM0A3DA/wPCaLCAGeIP7IAAAAASUVORK5CYII=\n",
|
||
"text/plain": [
|
||
"<matplotlib.figure.Figure at 0x10c962048>"
|
||
]
|
||
},
|
||
"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": 49,
|
||
"metadata": {
|
||
"collapsed": false
|
||
},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"text/plain": [
|
||
"{'kpca__gamma': 0.043333333333333335, 'kpca__kernel': 'rbf'}"
|
||
]
|
||
},
|
||
"execution_count": 49,
|
||
"metadata": {},
|
||
"output_type": "execute_result"
|
||
}
|
||
],
|
||
"source": [
|
||
"from sklearn.pipeline import Pipeline\n",
|
||
"from sklearn.linear_model import LogisticRegression\n",
|
||
"from sklearn.model_selection import GridSearchCV\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), \"kpca__kernel\": [\"rbf\", \"sigmoid\"]}\n",
|
||
" ]\n",
|
||
"\n",
|
||
"grid_search = GridSearchCV(clf, param_grid, cv=3)\n",
|
||
"grid_search.fit(X, y)\n",
|
||
"grid_search.best_params_"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 50,
|
||
"metadata": {
|
||
"collapsed": false
|
||
},
|
||
"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": 51,
|
||
"metadata": {
|
||
"collapsed": false
|
||
},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"text/plain": [
|
||
"32.786308795766153"
|
||
]
|
||
},
|
||
"execution_count": 51,
|
||
"metadata": {},
|
||
"output_type": "execute_result"
|
||
}
|
||
],
|
||
"source": [
|
||
"from sklearn.metrics import mean_squared_error\n",
|
||
"mean_squared_error(X, X_preimage)"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 52,
|
||
"metadata": {
|
||
"collapsed": false
|
||
},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"text/plain": [
|
||
"<matplotlib.text.Text at 0x10ca2c5f8>"
|
||
]
|
||
},
|
||
"execution_count": 52,
|
||
"metadata": {},
|
||
"output_type": "execute_result"
|
||
},
|
||
{
|
||
"data": {
|
||
"image/png": 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rBGpJx5QlRTanFpG3vbsKvCoiwcVv5XHFbN/EKDZjUsqePa7j59NPw003wS+/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\n",
|
||
"text/plain": [
|
||
"<matplotlib.figure.Figure at 0x10e08e0f0>"
|
||
]
|
||
},
|
||
"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 = rnd.randn(n_samples, 5)\n",
|
||
" pca = RandomizedPCA(n_components = 2, 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": "code",
|
||
"execution_count": 55,
|
||
"metadata": {
|
||
"collapsed": false
|
||
},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"text/plain": [
|
||
"<matplotlib.text.Text at 0x10d4be7b8>"
|
||
]
|
||
},
|
||
"execution_count": 55,
|
||
"metadata": {},
|
||
"output_type": "execute_result"
|
||
},
|
||
{
|
||
"data": {
|
||
"image/png": 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7BngPWJ280N1Tm+2KrG/QIPj6a/UVEamD0k0kywk3ySekzDfC/ZK0brZLgbrz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\nlEhERKRG/h+TSP31LeemPQAAAABJRU5ErkJggg==\n",
|
||
"text/plain": [
|
||
"<matplotlib.figure.Figure at 0x10ebda860>"
|
||
]
|
||
},
|
||
"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 = rnd.randn(2000, n_features)\n",
|
||
" pca = RandomizedPCA(n_components = 2, 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_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": [
|
||
"# LLE"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 72,
|
||
"metadata": {
|
||
"collapsed": false
|
||
},
|
||
"outputs": [
|
||
{
|
||
"name": "stdout",
|
||
"output_type": "stream",
|
||
"text": [
|
||
"Saving figure lle_unrolling_plot\n"
|
||
]
|
||
},
|
||
{
|
||
"data": {
|
||
"image/png": 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LvF7CjRrx3Q8/YIzjacvLy+P0Hj2YOnUqksjNz6cSTmo5UDyxd9tE3q0+H7l5eWRnZxMM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\nAAAAAElFTkSuQmCC\n",
|
||
"text/plain": [
|
||
"<matplotlib.figure.Figure at 0x10d5e59b0>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"from sklearn.manifold import LocallyLinearEmbedding\n",
|
||
"\n",
|
||
"X, t = make_swiss_roll(n_samples=1000, noise=0.2, random_state=41)\n",
|
||
"\n",
|
||
"lle = LocallyLinearEmbedding(n_neighbors=10, n_components=2, random_state=42)\n",
|
||
"X_reduced = lle.fit_transform(X)\n",
|
||
"\n",
|
||
"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": 107,
|
||
"metadata": {
|
||
"collapsed": false
|
||
},
|
||
"outputs": [],
|
||
"source": [
|
||
"from sklearn.manifold import MDS\n",
|
||
"mds = MDS(n_components=2, random_state=42)\n",
|
||
"X_reduced_mds = mds.fit_transform(X)"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 108,
|
||
"metadata": {
|
||
"collapsed": false
|
||
},
|
||
"outputs": [],
|
||
"source": [
|
||
"from sklearn.manifold import Isomap\n",
|
||
"isomap = Isomap(n_components=2)\n",
|
||
"X_reduced_isomap = isomap.fit_transform(X)"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 109,
|
||
"metadata": {
|
||
"collapsed": true
|
||
},
|
||
"outputs": [],
|
||
"source": [
|
||
"from sklearn.manifold import TSNE\n",
|
||
"tsne = TSNE(n_components=2)\n",
|
||
"X_reduced_tsne = tsne.fit_transform(X)"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 128,
|
||
"metadata": {
|
||
"collapsed": false
|
||
},
|
||
"outputs": [
|
||
{
|
||
"name": "stderr",
|
||
"output_type": "stream",
|
||
"text": [
|
||
"/Users/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",
|
||
"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": 136,
|
||
"metadata": {
|
||
"collapsed": false
|
||
},
|
||
"outputs": [
|
||
{
|
||
"name": "stdout",
|
||
"output_type": "stream",
|
||
"text": [
|
||
"Saving figure other_dim_reduction_plot\n"
|
||
]
|
||
},
|
||
{
|
||
"data": {
|
||
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M5CAn2ZgsQHwGXbV7P3r0KObMmYMtW7a8edvyyfr27Y0HD07i5Mne+OuvTti9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zcyetQIhgzux5tvvrnf36pUzuI/z/8uHN05SrRuLJLjHtq18DH8SjupyQZPPP7YaR+Iv1mAuOee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\nURWYOrUKl1ySz5w5c5g+/Ubcbider50rrqjHU091p1mzTJo3zyYtLUhMjIf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8LFFcKOZP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gwfMkjaNE6T/tddLTt27DjjM4twhci+J5ATzyNpCYjLjiwfjMjjyNLbkJAgZFAb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\nAf8Skb3+z6lGo/Em5iTiFiAbKFh5EGCIiHxi3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|
||
"text/plain": [
|
||
"<matplotlib.figure.Figure at 0x10d5e5be0>"
|
||
]
|
||
},
|
||
"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": [
|
||
"**Coming soon**"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": null,
|
||
"metadata": {
|
||
"collapsed": true
|
||
},
|
||
"outputs": [],
|
||
"source": []
|
||
}
|
||
],
|
||
"metadata": {
|
||
"kernelspec": {
|
||
"display_name": "Python 3",
|
||
"language": "python",
|
||
"name": "python3"
|
||
},
|
||
"language_info": {
|
||
"codemirror_mode": {
|
||
"name": "ipython",
|
||
"version": 3
|
||
},
|
||
"file_extension": ".py",
|
||
"mimetype": "text/x-python",
|
||
"name": "python",
|
||
"nbconvert_exporter": "python",
|
||
"pygments_lexer": "ipython3",
|
||
"version": "3.5.2"
|
||
},
|
||
"nav_menu": {
|
||
"height": "352px",
|
||
"width": "458px"
|
||
},
|
||
"toc": {
|
||
"navigate_menu": true,
|
||
"number_sections": true,
|
||
"sideBar": true,
|
||
"threshold": 6,
|
||
"toc_cell": false,
|
||
"toc_section_display": "block",
|
||
"toc_window_display": false
|
||
}
|
||
},
|
||
"nbformat": 4,
|
||
"nbformat_minor": 0
|
||
}
|