{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "#Created by Kacper Lasocha, 11.11.2019, kacper.lasocha@doctoral.uj.edu.pl\n", "\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import pandas as pd\n", "from sklearn.decomposition import PCA\n", "from mpl_toolkits.mplot3d import Axes3D\n", "\n", "\n", "%matplotlib inline" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "# Principal Component Analysis" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Principal component analysis is one of the methods of decreasing dimensionality of data. It aims into transforming bigger set of correlated features into smaller subset of uncorellated ones. The idea is as follows: assuming that our points are vectors in $\\mathbb{R}^n$ space, we choose new orthogonal set $e'_{1}, e'_{2},... e'_{k}$, such that in the first place, the variance along $e'_{1}$ is maximized, then variance along $e'_{2}$, and so on up to the moment $k$ when we decide, that introducing new dimensions (features) carries low extra information (variability)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "We shall skip strict mathematic formulation of this problem (see http://cs229.stanford.edu/notes/cs229-notes10.pdf ). Instead, we'll use PCA routine provided by sklearn package.\n", "\n", "Our data will consist of three features. Two first are independent and gaussian distributed. The third feature is their sum after introduction of noise." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true }, "outputs": [], "source": [ "X = np.random.normal(size = (1000,2))\n", "noise = np.random.normal(size = (1000,1))/4\n", "X = np.hstack((X, (X.T[0] + X.T[1] + noise.T).T/np.sqrt(2.25)))\n", "\n", "pca = PCA(.999) # returns components responsible for 99.9% of variability\n", "pca.fit(X);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "After performing PCA we can verify resulting components and their variability content:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[ 0.56283509, 0.45204463, 0.69200601],\n", " [-0.66505586, 0.74481132, 0.05437644],\n", " [-0.49083333, -0.49082762, 0.71984088]])" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pca.components_" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([ 0.64723353, 0.3481668 , 0.00459968])" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pca.explained_variance_ / sum(pca.explained_variance_)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As it was expected, the third component has minor influence on variability. It can therefore be excluded from further analysis." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "![SegmentLocal](pca.gif \"segment\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "After this introductory examples we shall see how we can apply PCA in few real case examples." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# MNIST\n", "\n", "MNIST is a dataset of 60000 handwritten digits, commonly used as data analysis benchmark. We will try to cluster images into 10 clusters, with and without PCA, comparing homogeneity and time." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": true }, "outputs": [], "source": [ "mnist = np.array(pd.read_csv(\"mnist_train.csv\", header=None))" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "X = np.array(mnist[:,1:])\n", "y = np.array(mnist[:,0])\n", "\n", "plt.figure(figsize=(15,8))\n", "for i in range(10):\n", " plt.subplot(1,10,i+1)\n", " plt.imshow(X[i].reshape(28,28))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Preprocessing\n", "We start with standardisation of our data." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/kacper/anaconda3/lib/python3.6/site-packages/sklearn/utils/validation.py:444: DataConversionWarning: Data with input dtype int64 was converted to float64 by StandardScaler.\n", " warnings.warn(msg, DataConversionWarning)\n" ] }, { "data": { "image/png": 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3of7uzw4BADae9vNdwi4z6hulNAeglklUad7uSyZyqpydFUxGH8ezJpo5TuRa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\nhVT9caa1/nusPmXwzclWx0IlWNqGMsl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2k/9vs2XrAqVUBuYL+i9a6y/a4otKqXH7+TiA\niRZXS2yaPGLT5FnXNgU60q5i0+QRmyaP2DR5xKbNYV3bVWyaPO20aSt/nP0AwB6l1E6lVBbAuwF8\nuYXXrxullALwCQDPa60/TD76MoAH7faDAL7U4qqJTZNHbJo869amQMfaVWyaPGLT5BGbJo/YtDms\nW7uKTZOn7TZNKrNILf8APACT8eQYgD9s5bUbrPe9MKHLZwActP8eALABwGMAXgLwKICRNtRNbCo2\nFZteg3YVm4pNxaZiU7Gp2FVs+sqzqbKVEARBEARBEARBENqIJAQRBEEQBEEQBEHoAOTHmSAIgiAI\ngiAIQgcgP84EQRAEQRAEQRA6APlxJgiCIAiCIAiC0AHIjzNBEARBEARBEIQOQH6cCYIgCIIgCIIg\ndADy40wQBEEQBEEQBKEDkB9ngiAIgiAIgiAIHcD/D+CGdXfGhdFYAAAAAElFTkSuQmCC\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from sklearn.preprocessing import StandardScaler\n", "\n", "scaler = StandardScaler()\n", "scaler.fit(X)\n", "X = scaler.transform(X)\n", "\n", "plt.figure(figsize=(15,8))\n", "for i in range(10):\n", " plt.subplot(1,10,i+1)\n", " plt.imshow(X[i].reshape(28,28))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Ex 1.\n", "Explain, why condition of $\\sigma = 1$ for every feature is essential for PCA." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# Here goes your explanation" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## PCA\n", "## Ex 2.\n", "a) Perform PCA on MNIST data in order to obtain 784 components. \n", "b) Plot 10 components of highest variance content. \n", "c) Plot cumulative variance content againts number of components. How many components do we need to obtain 50% of variability?" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# a)\n", "\n", "#Here goes your code. Hint: n_components" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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sS/I8bMDm4XXYtCfUynzTuFSR0Bk7xyx+rjkZzo+tp2UzJQ6nfrxtv+1vVOR8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\nmUVhVFEKFC/Q80VdK1sJmCL/4VxKxaaP7/CWj+u7lhBt7SX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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# b)\n", "\n", "#Here goes your code. " ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Components to obtain 50% of variance content:\n", "38\n" ] }, { "data": { "image/png": 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DZ17b2KxvPL5KZ06t1mfPYsVMAAAAwGsUPHhiW1uPPnX/UtWNLNQPLmPFTAAA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\nJE2XdLmZTf//7d1/7F11fcfx58t+KSA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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# c)\n", "\n", "#Here goes your code. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Ex 3\n", "Plot first 10 of MNIST images after projecting on: \n", "a) 784 components, \n", "b) 400 components, \n", "c) 200 components, \n", "d) 100 components, \n", "e) components which contain 50% of variance content, \n", "f) 7 components (7-segment digital clock). \n", "\n", "Check the change after reverse standardisation." ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": true }, "outputs": [], "source": [ "X_PCA = pca.transform(X);" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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Xy7PHyWlRC/d+Uo794g/tBAA8/L7PAAA++LkH/LY3/ynZMPqS8rr1i76yTruCpf3SFsyc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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#Without reverse standardisation\n", "\n", "#Here goes your code. Hint: express images as linear combination of components." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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8vHccEyIdcSlzbzdMjpbmCFTT9Wnsb5kEIrCNc3F520YAOlZ7k/bH+YyBn/Vt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ruXMZUfHfoGAOBoiYzooX2UDq/ZK0qM+pf3R9XMASCQzD5hOZZRNM9nH2YbJOPkRaBerTxJroWj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rZZKq66kwu0Kfsaw5dIpp81I7IZJE11PDRzNT9G/a+0zVKuMiznOpBFs+VYLvbbBAtbX8MyIi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\nYDCcAfYyZTAYDAaDwWAwGAxnwP8PCR3Q5L7MXFgAAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#With reverse standardisation\n", "\n", "#Here goes your code. Hint: scaler.inverse_transform()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Ex 4\n", "Visualize MNIST dataset in the new coordinate space (with PCA component as basis). You're free to choose the form (2D, 3D, scatterplot, heatmap)." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "# Here goes your code\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "![SegmentLocal](clusters.gif \"segment\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Ex 5\n", "For original data and every projection from Ex 3 perform k-means clustering (10 clusters). Measure homogeneity and evaluation time. Plot cluster elements of the best and worst clustering." ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": true }, "outputs": [], "source": [ "from sklearn.metrics.cluster import homogeneity_score\n", "from sklearn.cluster import KMeans\n", "import time" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Original data.\n", "Time elapsed: 116.17113447189331s\n", "Homogenity Score: 0.4445684141482267\n" ] } ], "source": [ "#a)\n", "\n", "\n", "#Here goes your code. Hint: time.time(), homogeneity_score(labels, true_labels)\n" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "400 components.\n", "Time elapsed: 90.22278475761414s\n", "Homogenity Score: 0.4446464782163763\n" ] } ], "source": [ "#b)\n", "\n", "\n", "#Here goes your code. Hint: time.time(), homogeneity_score(labels, true_labels)\n" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "200 components.\n", "Time elapsed: 41.343252182006836s\n", "Homogenity Score: 0.4452156555474297\n" ] } ], "source": [ "#c)\n", "\n", "\n", "#Here goes your code. Hint: time.time(), homogeneity_score(labels, true_labels)\n" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "100 components.\n", "Time elapsed: 20.02952289581299s\n", "Homogenity Score: 0.4449110080036493\n" ] } ], "source": [ "#d)\n", "\n", "\n", "#Here goes your code. Hint: time.time(), homogeneity_score(labels, true_labels)\n" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "35 components.\n", "Time elapsed: 11.676686763763428s\n", "Homogenity Score: 0.4422197931388776\n" ] } ], "source": [ "#e)\n", "\n", "\n", "#Here goes your code. Hint: time.time(), homogeneity_score(labels, true_labels)\n" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "7 components.\n", "Time elapsed: 8.029278755187988s\n", "Homogenity Score: 0.4096851484347813\n" ] } ], "source": [ "#f)\n", "\n", "\n", "#Here goes your code. Hint: time.time(), homogeneity_score(labels, true_labels)\n" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "image/png": 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r8CFpcwX0ONiTwPf3yEyAxaDuT47rL+mQwlRLN90glvaHvGHBTfjHSFN9YdV5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\nPcq0x/I5d1b1b3gn6Gn13odMKyiOdGXLMqf75xbbImZewZDL8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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#Worst clustering\n", "\n", "\n", "\n", "#Here goes your code.\n" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "image/png": 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0yn+7Hj52dBRlh9nHh2PPNGJL8HjSBtS12vQ4dWYewGItHU2Dpb4yZVYm4kJd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\nqDd7EACBfWUwda+2h/py9aprgW3ej1jPcy5XcNc6APBj7R/Mzq/+1ov/L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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#Best clustering\n", "\n", "\n", "\n", "#Here goes your code." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## The Optimal Number of Clusters\n", "In the typical clustering task do not alway know apriori an optimal number of clusters. It is often in fact a value which is to be obtained as a result of our analysis. We need therefore a metric, which allows us to evaluate a quality of the clustering. One of the most simple and commonly used is called **silhouette metric**.\n", "\n", "Let $X$ be a set divided into $n$ clusters $C_{j}$. For every element $x_{i} \\in C_{j}$ we will define: \n", "\n", "$a(x_{i}) = \\displaystyle \\dfrac{1}{1-|C_{j}|} \\sum_{x_{k} \\in C_{j}} dist(x_{k}, x_{i}),$ \n", "$b(x_{i}) = \\displaystyle \\min_{l \\neq j} \\dfrac{1}{|C_{l}|} \\sum_{x_{k} \\in C_{l}} dist(x_{k}, x_{i}). $ \n", "\n", "Then we can define a single element silhouette metric as:\n", "\n", "$ s(x_{i}) = \\displaystyle \\dfrac{b(x_{i}) - a(x_{i})}{\\max(a(x_{i}), b(x_{i}))}. $\n", "\n", "The interpretation is easy. For given element $x_{i}$, the value $a(x_{i})$ tells us, how close it is to other elements of the cluster. The value $b(x_{i})$ indicates, what is the distance to the closest other cluster. Assuming, that in good clustering clusters should be compact (which implies small $a(x_{i})$) and distinct (which implies high $b(x_{i})$), we define the metric $s(x_{i})$, which approaches $1$ for $a(x_{i}) \\ll b(x_{i})$ and $-1$ for $a(x_{i}) \\gg b(x_{i})$.\n", "\n", "Finally, we can set the metric for whole set $X$ and clustering $C_{j}$ as an arithmetic mean of single element metrics:\n", "\n", "$a(\\left\\lbrace C_{j} \\right\\rbrace) = \\displaystyle \\dfrac{1}{|X|} \\sum_{x_{k} \\in X} s(x_{k}).$ \n", "\n", "\n", "## Ex 6\n", "a) Find an optimal number of clusters for MNIST dataset. For that, plot the silhouette metric against number of clusters. Set the number of PCA components to 38. You can reduce the size of dataset (down to 1000 or 6000 samples) to make it suitable for computational resources of your workstation. \n", "b) For an optimal number of clusters, plot example images from every of them in order to check their homogenity.\n" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Optimal number of clusters: 19\n" ] }, { "data": { "image/png": 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KE/QaFQMnIiIiogKkkbsAIiKiuRr2h/CZB97GRDCCB246BVq1ct83qSsrgU6jKpATTgFU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\n1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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#a)\n", "\n", "from sklearn.metrics import silhouette_score\n", "\n", "pca = PCA(n_components=38)\n", "X_PCA = pca.fit_transform(X);\n", "\n", "\n", "#Here goes your code.\n" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "data": { "image/png": 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3RleuBEzN+Dk1ZeKEJjUPpFl/w0ik/L/ynb6da0E6Z+vrfWtfdzxZT053788v\nUWPkYfzOFI6yQaEsTJ14rTnRrfVD16TLYZSeVTiSVdhEPLeBR0d1ByC2ZllOtTATNlOPNePyVdzO\nH6EMqRdAU8mSmG7q2Rk+7VSBvdCsODErE5ciXCn/s6MjKRqOvtWcNX1TXtSpC1KHkm2VLdPLAocc\nE5iTCXpvLd/00hOj9Cp5CoBDD84A4KG6PbFul3fKZOREW/1vhKsH/Y62odQcfU8y3N058og/1d1P\nYbK1+LtfkN4UOWX2Lw3AuS8D2Fx/HAB1puoH/uD3/5WCVDZMfnYSAB62yeM6PbeaSkMv0ddn6U17\nuRM5byhh/7HNQpec+ZNA2UlrMSbdvCb9RE3FiUsVPQFNq8W7WVJ6AZ3qtQMynsTLJSSYPa+XB2B/\nyJQ02yZeqo3HUhlffTsDhy1Ot+7e34YDEPQzGLHXCzqkDMlVXwghhBBCCCFyoNC1TLkEBfJwj7/t\nUx9/+sdDhBfT9x9lR/LBwwB4HDxMlWWZT29+/LnauKtVPHe8JQCWE6fyP8BiyGJYpZoiGxY2m8Ka\nPWHMf0HX6rnvP2PfdqWJnoq+93vLuN97FH4m3U/6vOUGR5I9GfHySwB4L5TxE3fii6N6+v6ekT8A\npJkqXWTClicrBlbDhHLX40fO9b2L7c+PZ3eilRqrnwGgyocyZXdOWarqltO/688C4OurQQS/K/m8\nE6tjq9PEfSelzfo7+kaA7mbdMepRAI6uCyR0/hXCdm/GyKJFStze2fE6t6+UjgYgqaa+X7lsibe/\nN9FUsiQAMe9E8lvXMYS4pA7FMCsTh5L0tPTL/+8ePGXm33SUuzstPffbllLH68W0t7XstYc2O7tz\n9YZHmuNKfaXzXuK3XWAYBTalf6ErTF2Z7sY7ZbfSYGNvAMJflIJUXqndRXfj2XxG/+GXSYh2ZDhF\nWlwjmer0Vj4HYHW8G6089EDcCFc3InyP0n/u9HT73vyeOfC0d+vrMu1Vgj5YixdSiMqJhC90VxNG\nZ76fSMvsn2D/PeZSGSJX6e7US4N0d/SBI4dR5Svpjp4bqlFtDr6U+mLTGVdCWd6tGRDjuKCc0Np7\nKtKk171cqauvsy7nXImYcgKX0/q9ciHxx2TCnlyKXx2gf6mv//ll3kwA3j1fmwPXywBQ1Vu/KmVZ\nwCQg7Zj2Q0mx9HlZT0PvvUjuZbdz4Ym7KGP+K9N9Vtb+If3Kxqm/jjjdhE0f6vGu3j/mb54LTWHq\n1KIaAGyu/TWtdjxGhS7Sfz+vhXhdcHQIxYJZSbPU7fjPXMf7PTryW80Fd3xsl+kjAAj6QGqpc8Nv\n20UAJl6qxiA/qUzJLpcY2wbto+gAACAASURBVMNQa/in3rf2wv7OxGS6Ln6RiIUyo2RunXkziZ0N\n59iXJ33dicA98vd+pywXLlLu87WUu2mdtD/lrcCf9HW00d092djgG/v6twJ2QsDtj7lh6MJt7WVD\nCVloxftXKURlpvTsdbT11ff9e/ps4EHfnbT1zLqS+vvYsgBUcrmEq7Iwbox+ue8bPzbO7LBck6c+\nIYQQQgghhMgBh7ZMHXmnOf5NTnNqXxmiG+mpYiJ+HkjNt2WWufzwx2cteOfDrVyN1jMmlXFwPEVN\nwh86o5Z6UkedEfc3fNj/g+4yFebqnsXeUP/fJwmY7kXwH5sA5J1ouWTZo7tM/VrLh19pdNMW6QmQ\nmdApejrjSLfB/NF7NG+eaA/Aht9qETZyrbRK5ZLRrC5lS6T2nKi5YgDhv12Vv3dRKFl3RQFQrocX\njfoOIraVbjFRB7xodf8OAFYdDLPvX2K1F6X36vtexEoZH5Vd5T/TLdN7P4OdbXszon7qM4Pf/af4\ns9b8NPvX/HowVX/QY9biy3jivec0T3VvBkBF8reVWxlG7i5X95u65/gEyfc24N0Z0+m7rj9ll+gk\nlfwu92Okfrf+oLLeq/DLTW7zS1HIreQ1/0hu84fkNf9IbvPHneQ1ZkpjojpNZKGti84XvTpgbNqV\n5zEVhbyCfGfzk+Q2fxT1vDq0Zcrlr828G3oXVdnqyDCEEEII4SCV/lDQCcZ+1AMAv00ymYcQwnnI\nmCkhhBBCCCGEyIFCM5ufEEIIIYof7/n/8vD8RvghLVJCCOeT6zFTQgghhBBCCFEcSTc/IYQQQggh\nhMgBKUwJIYQQQgghRA5IYUoIIYQQQgghckAKU0IIIYQQQgiRA1KYEkIIIYQQQogckMKUEEIIIYQQ\nQuRArt8zdb+pe6GbW/136w/K0THkBclt/pC85h/Jbf6QvOYfyW3+kLzmH8lt/pHc5o+inldpmRJC\nCCGEEEKIHJDClBBCCCGEEELkgBSmiiGX0BBcQkN4ZM85hu6P4uyg5pwd1NzRYQkhhBBCCOFUcj1m\nSjgPk5cX0ZNqMLzRHwA863sMgFFHkh0ZlhBCCCGEEE5JClPFyNFh9dh3/wT78iXrDYYe7UiJXacB\nkCJV7qgGkQAEjD/Bpd6lSD542LEBCSGEEEKIfCXd/IQQQgghhBAiBxzfMmUyc/Dr2jxeczMA2y4H\nsnt/JSov0DMWem85SvLpM46M0KkZLepx7tV4AHY3moTFgKVxPgC88eVggt5fC1xyYISOZ/YvjfLV\nOTHOX8Ry9WqOznOkky8Aiyt/QeQLQwj7z0l9zqTEvAm0iEt8sBFn67vyxlPf0aPEOQDuGfQcnos2\nODgy56fc3Yl7qC51/rsdgH2NEhwcURHTtA6HXtT3rNBy5/ml+nLu2d0ZgBMbKwIQNu4AAJYzZx0T\noxDAmaHNMe69RN+wfxlQao99/fATbTnR0QsAy7lzjgpPCKfk+MKU1ULVTy2sfC8cgKWRXzPItQND\nJ+hxPa7Kwptd+mLdvteRUTollyqV+WjuFCJd3QBIMgxqzBtMxHR9Mw+KWevI8AqNqLfD2fuo7v5Y\nd8aLVB6Zs7yU3WzrKPks7O45ni5f9wXA2LYnk6OKN5cK5Tk1VRdCJ9WaQgN3vd5q2/75p+P59b1a\naY5ZMPo+An4/BEDyqdMFFapTM5cJYMXEKayJ15f80VU6kXzoiIOjKjpinnEjptVU+3KSAb/VXKAX\naup/dvfU14feU4dT6WO59oqC4xJYibjZ+m9/Y83x7E1K4tWDXfntbA0ApoV9x5TANUxZVRmAJTX9\nHRarEM7IIYUpl/LlADjTIZQEf0Vs9URian8BwCWrwdFPI3hnX3kABv+4kM7frGZhzTKOCNVpnRzR\nnJf7zyfS1Y2518oC8MH87lR9cx0WB8dWmC15ajS9D72C3xfr7vjY6+XN+RBR0XamYxX+bTAhw+21\n3VyJLB2VZt1LH0XR5onuAPh09cZ6/Xq+xliUtPTQD/QfBJfGJIWpPDO5zZw0y++cq8e681XSrJsd\nMQ+Auzrv4szHBRaaU3OpUJ7DT4UC8En/mbT1jLNvq/n1YEJfu/PrdHFUf9lRuvluAiBi8RBqvncU\n49QJ+/YBjZ5n8vzJPON7EIBPP+lA1ZfXOyTWwsxcyhfl7c3x7iEAXK2dvV4n1T+NxborKusdizul\nW/ePvdks3SZDgTIgwV9XtUZ1n0idqUNQtlcBh/x4HsuemAIL9VYyZkoIIYQQQgghcqBAW6aUuzsx\nn9RjacfPAIh087xpq67VL2v25tuxn/DIyBEARMdXpH+p3Syu2wpAuvtl4dh83SWqnO8JyrjosT9j\nJz4GQMh46VqSlcoubsx+eyxDjw0GwOXPzdk6zuznR/OBm9Ks299Td18L3Za3MRYVCQ814sv/jgXc\n7vjYlbV/ACDyzcFU+Y/UTmeXWUn9WX6bfTWIrZ1DcDly1L7OJSSYPX/orlOvVfiVJ4a/TOB8vT35\n2HGHxFnYJTzUiBrvb2VR+eUAWLHau/8C7Or9OfWr9iOo2y7HBOgkYh9rysgyE2m6pQ8AES9sSDdz\nr7FxJ20XvcK+bpMA+F+neUx7ObSAIy2czg5qztWmNwDoX3ctI/zvvNv+V80rseDBRgAkHzmWp/EV\nBS5BgRx/NJihz+mu0b19xqXbx4QpzRXACuwYON6+bkXfErzw61OEz9H/r1i/I9/jvlmBFqZOfRfK\n3kYTmHxZ99PtPr09VeYex1qqBAd66AfPn3uOxtekSCitm/sCXK5S77chRGzflOF5heZSpTKv1voN\ngNaeByltNhM58yUqT/zXwZEVbt5H0nbPC3N1wf3NUwCo3eWyNQFKYt0qjK4wNcv9BJgD9EPlxMmf\nE+GaeUGqfdTDVPU5z7iK/9x2+8KeYxkxqj2WS8V7EpXsshj6xpPk5YK7g2Mpqk4k+qV5YHIpX47o\nQZVu6qLmxqZXxtPy/scB8G3vgCALOZfASrQb/SeD/KLZkKCvz33XP0uZZR4k9rwIwNq75jK05goW\newQBYI2Pd1i8hZnFFb66Wgnzj5mPg6r6Qzx007+XcbmKOcAfy/kLBRBh4bb1v5NIMvTgiCTDwsLr\nqUNO3t3VkevnvSgR45ruuNgaugtgzINTedLnBKOffhSAyiOlMHWruFlmNtRMX4C6E/d4xrK3ywQW\n3x8AwGsrHqPGazFYLl/JixCzVCCFKWvL+gBsaDSN5lt6EdBJ92sMYq29hqSKrfZ+yKePkhxagTqf\n6NL/FYs3Nd8/L+9AyoJLUCC1FhyhT8mUAfleRM4cRMi7GzGsMkoqM5U+20Bk+SGAnjgCYGHEYgAa\n9nmRiqOzLky5Hb/EN9cqAdCzpO6LHvaN/iO2ZnhU8WSU1zejjApSsdYEGiwZDkD4oH85UqE8zTro\nlsJZb35KDdfUG1eEqxuYpbXlTp1t4ErQz46Oomjq4LONFZ0HUXKDbnmqufwMi8r9lGafJMNCwvKy\ntqX9BRxh4Vdl4XkG+UXTdd/DJLXRFVtV0Q8Jaq9+n9+uBQbtS0TzY6MHADCt2eqYYAs5v0U7+XFp\nBH5XM2/BN8enPmW1cLdy5NlqBH4kvVlmXinPRYs3AN+Of4CAqal5rMTu2x5jrhbG0eZpq6tKHDXy\nL0gn1zswfYV/ze+H4H4h63v79Kf1mOuG7vo59xFvXdnSueMk7lkxhJLfFszYP3kKEUIIIYQQQogc\nKJCWqZQaD4th8GzVf1gSUF0v364J+UY8B14wsShYd1dr8tkwKh6U2pGsHHoymCVll9iXp1ypTNWp\nR0hOlja9rBjJyUT8T78D5ssOlenrkzrL2eN9/mLdvFCST5zM9ByJgX72FimRuZPvq0y3N5z/EuHD\nU2uTkk+dxn+GbnEdemIIJ1u58GLnZQAM8D3MiV7VKD9OrhGZMZKSiEmKJ8LVA4AbVeTdZ/mlvpuJ\nPydNznD7j7EBvD+7J5Umync2I+cTdUvA4V+qUIlTGe63L8kX19O6B4D0v7i9bM92unMf4y/rcVJD\nSh0kLjQpH6NyHt/XKG//PYCsx+eaalWn3pw9LC6b2lLadlc3yi6KBuR7ejvf93uAT16xsrXZbPu6\n5+7/nRWPNQDIdJa+d9+/CwBVP5LFy77I1zgzUyCFKWPjTgAilw3m0MPTaLRRvyOm79RhBH22JU1f\n5/3TQvi84Te0fPdFACpOkxtOdvjefSbN4PI5h5vgeyKD7iMm3Qfd7OfLsaercz1E/3n77jZTdlLx\nzHfKSwrH7mxL3xaz7OtH+O+kY1gzTLcUpkweHhwZcZd9uUXH7QUTqJNLeKgRKxuk9I1O2w2ixreD\niPhoH+FXtpBRhwj3nzdS5WdY0rguoAtTK18Zw6PR+nrh9svGfIrcuVnOnGXogcf5pfpiR4dSLI2+\nUJN/OtsqEU+eplJC8bzOZpcJAxMm3C8ZmLx1wcpSJ4x9T7nRovY+AFZdr84vA1uh9skMP3nBSEgg\n1uLh6DCcktnHB4Dzj0Ty6ciJNHZPewfzeNsHy4VDjgjNOazfQXAvd2q/PRSAZzv9xlC/KKb20114\nI2ZH3PG05/8muOJ5tuAqBAp0Aopqg7fwwFd9CRunS+i7hk7i0fb3k9C3HHuHVQBgQZNx/KfLUwRs\nlxm6ssOlgq416R601T64HOD6irL43tIX36VSRc7fW5nL1fTynn4TgT/s2x+o1gU13Q0jqfjWWrtu\nLAkt0q472dyTwFX694T2jTjV3IVkb4M9j2U8YHLy5XBM5y4DMmYqjeHnKGFKLUQdSo7n3RMdAIiY\nei5HA55LmNxJGqaPc/slb8IUIrtUw1qUN//LrbfTlEHrTccOI3Dufixn5L1e2TWowp9YsdJmwL+Y\nBuoH0/fLzQCghe2B69z0yyikIJVXTF5eBLicS12OlfcmZtfeUbqiJKbT7d+ZWOnTg5yKq2Rf3rc9\niGoz9KRJlt3R+R+gEzASEuwz866Y04D9X5SlbWv9931sdlCWx0c/75VmeeDmPgT/lb3ZmPNCgRam\njORk1NrtHNAzRFL71RdYNGgUVf8pYd/n7iFD8d4us89lV3KQHsxf2U3XdI65qEtKwV8ftE/acWZo\ncwB6DfiVll5LiUrUBdflcSXo4BVrP9eM8HkMCn/aoS8+c7SKo9fSuMWTbGr0tX3dtsHjYXDKkv7j\ndFVmkoyMhxwOKnWAmT31NF0Vx2TeRbA4eahC2gG7g/b3wNQ2ZXajy9k+z5lFwfqX1/U/7Svq867C\nM4MjxM1KlI7LeieRIWWbPOXaI3cx4oOviXRLvZUeSo6n966n8P1It6hU+HutdO25Q1tuVCHUZTcf\nlv8Xk21otxU4mZyA/055SXd+MGqG8qzv3/bl4F/TfmtdAitxpWkgAKebmAj77hrGJpmWHiCoyrlM\nt08LWpl2RTVoEdEDgNKdXTBkOEYalj0xHG5885pMnkmb1gHgo9bzAeh/9B4AqrxwukCvuzIBhRBC\nCCGEEELkQIG2TN2q4qi19L33Sf6us8C+7mINM94OjMnZHNXvNqaLt67Vb+KlJ1JYVfouOHWaQ9/W\nYdvd+iXJcUYSfTo9i3Wbnnbe0uYuOsydYT/X47v64VeMW6VSlPnME+vczDvnJRnc8grJ9BIaxma6\nvThyVRZMpE5AYcpwdFTmytleQB1R43kOdZmGWUlnyjvx413TGXJrf1aRLaZa1Yl+Xr8XMbrLxHTb\nH5kyQqaUzqVlkX4seHA414JcWPd2atepjpsGEljAL+Msykxetq5R4ZU50donzbb7R63mq6d180Dv\n6hup47nC3pPlcHIcD4cOJLBrgYZbaHmOLAnAfWWeT7ftejkzJR8/yfW5FQG4FqxY8+xo/qn3LQCD\n197NkRamYj28Ijd6fqH79nctcR4wsWeWfnWC/7mCHSrkmMKUbQKEQ/Mi2Vv7C+p8Mph6treY73lh\nEpGWF+RmlE2JJ9IWPVt66Obi7784wm+rmrKxxVhabn0KAI85pSmxLXWWNJcrCexOSiQyixenivS+\nuloJi61h96O/O2C+amZ3j/EOjqrwSzLMWG8qQJ1dEExZjuf4fMpQJBkWLJl0uRTasb+DoLqjo3Bu\nyfc24MWp3/CQ17UM9ym1Xzr15QW3XzZSukW9NOuCPiSH1S/Fl6lkSVRQBc420y/tvdDIQs8m+jmg\nrJvugj6k1N/pjhtWeifV6qXOpDh86ZOMW64H9LuduU7grtu/Y6lYshXwb56+I6GDHs9S+5ldnOlX\nHre9+uHeD+ixZgiNx24CYEKlv+nYoJ/9HCL7Tr/YnI7eowGw4sbnl6rjP90x8y04pDB19oUmAMS0\nmkToj88T/slazn9RGoDxqyszqv8sPo7qC4DXQhk/lZnwL2039e5p14+vuBZ6riVsyTBqTLBNHbt7\nPSYvL6I/rg1AufWKby815r2yepDf+cOl8SuwyJ3Ldlul0ZIrd7F8Wss0sx5GsBFLm7ugh4OCc2IB\njx6D9JX7WbNVyBju8uCaXSWOpT6GllQG5pp3PkNScWVtrV88P2La17T1TB1vlmAk0X53T/6sNd9R\noRVp5+p64ar033qSlKKyzVSyJFGjawDwSqufec53Vbp9DiTf4HBSKQBuGIl4qtRK1Rqr+xE8zYx5\nxRb7ujBSK2KlH0DmEh9sRLWRuoEgemQt3PemnWXWvGILCxffDcA7z27l1blzGVW1doHH6cxcggLp\nN+AnSpr09/aPGyVtU6k75p4m1blCCCGEEEIIkQMF3jLlEliJea+MsS15UX3CBSyA5cJFABa8dD/z\npn9G7Tf0e3uObKxE8nF5GWpGVLR+d8HjBx/gu9Df0m0P/E3Zp940+/hw39rjLPOzNenb+jvXWN0P\ngGqv75EaJ8Bt1xHqrX0agKZBh1lzIIzQSbpaVP2zjbJkrwvqmAa6tnpq+ZYknz6TP8E6uS4VtrGs\nrq6hs27fm+3jzNX0yyVjHpqaL3EVRaabJowyK4XV09VxwTiZhyf9BWBvleoY1RmAG+Mrcq6uC9Ry\nWGhFmssNwz7FfN/D92GKT5aZEbPBc7kH+6tOAeCS9Qbtox5n37FyAFRc5oI53sA75gKWGD3G+vDe\ns/T3Oc63sXp24LAXjmK5dMkxwRcBicMuUMZNjy87vvUot5urr9wG3WUytn8CrTxgVAHGVxTseac8\ni0ottj+zDvm5L+F7HNeTrcALUyc7V6aGmx70OPeaP8aRtOMl3H7dxAPjX2Xn8EkA1Oj/AsHvSGEq\nI9Y4fXM//Vlt+Dz99mmffsrGj/Q00h6mJLp6p14gdyYm0WPjM4SO0n/q1msZjwMoTiznLxDcXb+3\n6CRQla2ZH5CBdl66e+VUD/cs9iw+vj3YgJdKR9mXB/gexvyNvhwufqK1fXKUrBz/KO2l67uD+gXK\n5cl+gay48ftiHVNerQzAc75H2DfcjbDeDg7KCZwZ0pz+vnoSnzfONGH3/X6oWD0VsmfCcTyfrubI\n8IquxrUp3fsYGxL0hDUxX1THf7e8fzI7FoT9zvexutP+tAHPYF65hfBbxqZaXd2ImaInmGjvPZb1\nCV7Mfk5XEpgvbUHkXESpc4wso4dPdP+uItfGNsZz8Qb79vMDmpHcXk8advN7F0XWTr6iX/UT0248\nrsrM97F6iFD4HMe+7qPAC1NXw1LbPt794TFC4tNfHIN/OM6VF28AkOQjbSXZUWLZNmrVGsyEJ3VN\nfRsPXesR4epBhOtZAMzKhMWAZtseB6DMgOtUPrFTBvTmAdfzcay6oSsJWnum/aM+MMqXkF7F+2XI\nKSo+d5k2s/UAv5W1fwCgv+9RACzz1jD2lw5EvLnDXklwO1d7NmVynUn25VY7HiPwOd2yLW/ryNyY\n9e0AeLDtZ0QMjJGW6CyohrV4Y8hc+7idBKuLvRdFij/rzwbcWZeg9/E6lVDQYRY55jJleG7uj7Tz\nukKdWfolvSEOGljujCyGlb039EtiXf7Zle4eb/L2xrrEj/3VU1qvFK+//DxeK2SMel5Yuaca2N4t\n9UPYT5waf4ONoyvat7fzWo+7Su0Z0HDMEMpns8dLceYSFMiDT+jrgBUrSQZMHqKfJ9w2bHJkaDJm\nSgghhBBCCCFywqHvmSq36fa9nxNCAvBSMl33nTASEgh+Zy1jxuom0MHDaxPc+ig/VV9i3yfWGk/7\nwUMp/bMej5acIDWoecW6K4qPBukZKM2TZnO3R7x92/YWs3jE+z4sl6VlKvnUaXy66un8H1nekYXh\ny+zbBvgeZsDjE7mrSh8Cpup93H5JOwtS3CNN+PLjT6jikjoJrV+fyySfv1AA0RcdFhTWG/FZ71jM\nJZb2oKnHCcATgJ9WNKQq61AN9LtMYvqVwMukv6P91uqxp2F/56xbsEi1b1wl2nldofHGJwn5P2mR\nulMzrwbyZoCeTa7WvL5U9LvCod26ZaTkYRPPPLOcAaVW8vLpZgDserkOXiulVSqvVB+8hxoz+gOw\nt/VMKpg9edj75jFoqa1SNVb1J2z8BukhlA3HHw1mQbmF9uX7d3fFa52evc/RYykLvDClkhVXrLoL\nX4m9F9MlQDWI5MorsfZuFZ5npPHsTqSMewp+VzcZt+euNNs9kT/a/OL2q25m/mDgU7w3bToNb5q2\nO7ZNNTwXbcjo0GLFev26/qW9wT0LurPC1t0vxZbGczjfQF8j4gxIvOkdUv7mf/AzefBznH5J4pRm\nzdJ1uxJZq+riyYV+jfGfKQ+qmTnexpUKZk/78oLunzLirm48G7QUwPaAZKLfkbZUG2brruqIQIuI\n2O76tSmr7/6EMxZwX1TKwRE5px9rlOXjzzsBsOGRsbgqU5p3zD24szfz3n8In2/0dOdmZIxUXrLG\nxRH+tB4b3MWvAzHDqpBcOm0ndL/N+vG76tT1GIY8lWXH0OcWpFm2TiyL5ephxwRziwIvTEXMOEd0\nN/2ffWDBJiYveAiAxAB9CzrUeRqnkmMJnf8yAOGjpB+pcC6uf2xm8CeD6TJgJQBfrmpJ9ZVR8pB1\nC2tcHL794rj/rucAONJJ8WnbeXTwukKA7QHWhErzkl+AQ8nx/N+kIQCUPy/Xhzsxu/UsQM/wFbAj\nVipWshCyLI5/HnelhW0Mag1XV5ZVX5xmnzOWG+ybXINS56VgmhvmyGpMHj3OvvzoOyPw/0JymlPh\nQ3VLU6+hLdJt8+EAcKCAIyperPG65d966jShr512cDTO7+rPVXnSZzMpo5Nabn+cK3VdKFlKt676\nfenYa4U0+wghhBBCCCFEDhR4y5Qlej/DXte1ylP+9xnD+h9Os73VzkfwesOL8M3Sf1c4r7IT17J2\noh73F86/0iqVgeRTp3FfrmvtIpbDlPqd+e+DvjTuvBOA2cFrsBqp2XtkX0cuTKtM+XnSIpUTI/Z2\nA6Bb5a2YrifI9zILau12PnzySd6c8wUAzdzTZuyRfR25PD6YUj9KC0pumEqWJOo1b6q56u79Lbf1\nkS6oQgi71XW+x3rT/LOr6n6Dqa6JB54e6MCoUjlkAoqS3+l+uiO+a5pumyeHpOuJEMWUsXU3gVvh\n5Ed6uR31btnjFD6cKvC4iorSHfVg3b/wBmIcG4yTUP9s44PQW7+HKU7hLd/HXDs6pDbRbcfz4smW\nAPh3PyHT9gshMhW5+mnCiusEFEIIIYQQSQ80BODTp6dT/YdBVJukX4ZsjZPxPEKIjN29tRdVem53\neCEqhYyZEkIIIYQQQogckJYpIYQQQhQ419/06yQ+CYskjPWFppZZCFG4dKzUIM1y6ULWTV3J/PZC\nCCGEEEIIceekm58QQgghhBBC5IAUpoQQQgghhBAiB6QwJYQQQgghhBA5IIUpIYQQQgghhMgBKUwJ\nIYQQQgghRA5IYUoIIYQQQgghciDX75m639S90M2t/rv1B+XoGPKC5DZ/SF7zj+Q2f0he84/kNn9I\nXvOP5Db/SG7zR1HPq7RMCSGEEEIIIUQOSGFKCCGEEEIIIXJAClNCCCGEEEIIkQNSmCqiVMNaXP8l\nlJY74rncpxmX+zRzdEhCCCGEcACTtzcmb28u9W3G4e/qcO/O65xdXJ2zi6tjNKuLuZSvo0MUwmnl\negIKUThFD/QkqvZsAGa2uRuAUnMcGZEQWTNXC+Pip7C+3nz7uirLnyXi2Y0OjEoIIZzX4feboSJi\nAdje4nP7+mGl9wBgmm/i/fN1+Ht4UwBc/tpc8EEK4cSkZUoIIYQQQgghcsAhLVOWe+4C4P7P1/Ca\n/z5a7HgU3z7X9LZz5xwRUpGR2K4hALPvnWlfZ7oiDZD57cCYpux/YgoAYy+GMmfSg5SdtNbBUTkH\nc7UwAMLmHuHzivPTbFse58GhDtNpMPB5AAKmrivw+JyeUlxcGs73tWcx6P6+AFhiDjg4qKIn6b4G\nAPz11UySDEuabTXmDabqCPnuCscY2OVXhvjtA8CawT5vBGzj16mHAJhctx7WuLgCik4I51fgT9nW\n1vUZM2syALXdXDlvucFftb+j9QNDAPCdK4Wp3PB8/SQAzTwS2Jtopc/k4URM3A5kfBEVGds3oQlV\nv0vEtGZrhvuYvLxY+dgYLIYXAC/67Wfnkzs5OamgonReMdMbcajDdPty023dKD0cLNH7ATg/sBkd\nRk5m80h9zajSULr83SlzyZJ8UH0hwS5eHOtcDoCKo6Uwldfc3jgNQJJhSVeY2tFzHJEBukIgaJEZ\nz8UbCjw+Z2euGcHeV3zY+cAEADyVG40296TMw9EOjsz5/XnDi3s8Y2nndQWAX1ZZOdyrqlS6oO/v\nKS52q8vZ1kkcemhGhvvX3dATY40fFSforpJGQkK+xygcr8ALUydaeVLbzRWA3UmJvN6+H9H/8ebn\nDz8BYNjWflj2xBR0WEXOrkSDIa+/SMXv1koh6g65lC/H8R5VAVja8ROutXfj7RrNgYwvjBXMXrdd\nL9JLaYkatHwZHby2MfRkIwB2/F89fH/eyM2PoQFT17F8hAcdvOIBONRhOsv3e/DyvH4AVH5Lavuz\nYrl6la/OtqBt5b+IYU12NQAAIABJREFUDyh07010eubIanSdv4o2Xn/b1njedr+YB6YBUHf/EIIW\nF1BwRcCpl/W1d+HQUcy+1IzmY18CIK6Slb09JtKp0VMAGBt3OipEp/THjZKMfrEPAO4XEpjw8Tl+\nDF8CwKcV11DzhSGEDZPC1M/712IxUp6i/saKwaGkG/btrirt/X9Lo7nQCL4dUAaAr7vej3VXVEGG\n7BRcggJp/6uu6B/ge5gaq/pn67jo1rMAsGJgQtFqZzcAzlz0oewSD0p+uz5/As6CjJkSQgghhBBC\niBxw6GCazr8MJWLPBtTZplR10bV5+570J/R1R0blvFSDSN4L0TP4/ffQI5T8zjEldGcXVy+YLSMm\n2JbcAVBKASD1+rljrhbGTytSx0VVn/G8vXXJndt33xu8og/vVboEwOVNZYh6ZjIdnrF1+6sg3f6y\nI2pWDXjnLzwirjg6lCLH6uZCz5JHATdHh1KkmDw82P92fdb1Gg1A48UvU/29Q1Q4o8eiWu65C3qA\n6fJ1veywSAs/k7JiQt/DFl4P4J0vehH44do011zLsJr8/IMfAB28rhDVfSJtV+iuqcW5W+qOxHgu\nWnTL0/NfPYdLHFQcnToe2qVSRQ4+E2Jfjg9KZOeDE+hRQg9ZmTwmEe8HCzRkpxBbryJWQ7cmW7Gy\nt/VMrLZ+VCZMWLFisrX3pPxuxcqky7pny4BS+wETf9X+LvWY1lZaeA8FwH9mwfZakZkJipDkku7U\nclOODkOIDA1avsz+e9Nt3bLVTa/GmEvEheqbfOWf19HurXrETNddA1O6/X0eVj1/Ai4iyq7RN/bV\nDXVf/96hT5B88LADIyo6zr6TfNv1zT4ZBsC1+vHsundKQYZUJBwbdhd7+oyn7pQRAIS/tzZNgelo\nO3fWJZix7DvomACdyJIX27KgxAMAlFh3mMAz6SdHsm7bw8RnugPw0DzdJfVYR119GFGMu6WOCGlq\n/z2Y9HlLPnGS4Hf0WHWThwfxbWrz7z3etPFIAuBynCfeBROqU/FYuoFlS/V9fVnjpzlxT8n0+5zX\n37/bFYyW0SjNcnLbBvzy1TTiAxzzDFzoClOmKtcdHUKRcGBTMKGccHQYQtglPNSIDl7baLpN93H2\nbb8/W8dZovfjfssY85TWqOrvPk/UM5P5dZMehxndMCnvAi5izMqEj8kDgCOPVaTSx4cdG5ATu/qE\nfsBaPXoisBkw27dVmz+I8BfXU9724JX4VnNc25pxVbZ9pL4rSy4VyjNr4DhabHuC4I83Aam9Asw1\nIwAY+cj3DorO+bj+sRlX2++ZteC5btcF088vVWeoXxSvtfgJgMUeQVjj4/M3SCeWMklF1Oc12f/Q\nVADGXKwGQOUhl7h9dYuw27CTSrls/DzUxcXesuUIMmZKCCGEEEIIIXKgwAtT5psqN5rV3sf5gc0Y\n2O53+7qxDb7HXKZMQYdV5JTZIqN78tLFx+pz8bH6jg7DqY34f/buOzyK6mvg+Hd3s9n0AiEESAgJ\nqfQOoSkCKh2lKKLSexVEffUnqKioNDEgIKgoimIDpAjSFQi99947BAik7+77x002rCSQLCSbhPN5\nHp5kZmfDZdjMzLn33HOjZwNqRCq7o1IPEjgyhjo72/NFyS18UXILSc1qPvhNj6mMilRg0t/nQJFt\n6WXQ7/4TOsR6rqrGbH2cTLzMmkbviEbvSKuVe9gQH0qxnnGYU5IxpyRbjgmYdYaAWWd40e0KXZb3\nsmNrCx/jjZsYb9zk+1nPANDD8zQ9PE9z59lKdm5Z/nZoTCUOjanE0WZfWfZVdj5NZefTnJ7shal+\nFTu27vFwvN10yxwre8jzND//6O1UrP0qAHuivoeRKxl0vi5Rp9RCvjFV5vJWl1BKjpP1pnLqfD0n\ny/cO3S7Bz/cec/zTKMvN3PGmBv8xsrDsf52vf++vRbn+ewG4tNAbY2ws17tHcTtA5etUf2Z/nrav\noGrhksjieKcHH5hDns2PgkpZJ3FQLIa/HvlfIYSVhiPuLe6zIsHLalvrpD7rSUVlcYrsutxTLXzc\nwzOGxgP64XzBOvfn8oC6zCv5OQCnU5MpN+aSpFDlgoCZ+/ipZyk6u1+wd1MKBLOHSi/fmASb4kPo\n6LGbpmkrJOys9QOLv3Vj+Dy1YHrIyB2SMvko1aoIQIp5GyZMBP54CiDPrwt5v2hvYiKBL6te6Wei\negJgOHWdlGZpo1FVoGq7vVyOVlXUZMGz7NPXjLVE5i76ZMzAydFRLH1VVUPyd3BGr9lpvaDkQKiz\nvRMAxUbqMe/Yl9fNznfqN7l3vZKZAWsBWL9NS6JJTzXDery1ma8nA3B4fDnc2JRrbSyoRh9uiSeP\nZlTqbhEzVdWpp5tvRZbwFLntt31qlHrUkxkP+5+8qzoJ3VGB1vF31DF72k/K49YVXP4vngDgq5tl\ncPlrl9UgnkNQIFOHR1vmnjVeOJzQk3KNzQ3GGze5YXTJmOcn7iusm1qgd3TNLpi37GFBq2FcrKPO\n3cj2v/Ci2xVadJ4CQLvazUh5wZPUi5fs1t7C5MLbKmzSoiH894GEnrXPNcEuBSjSo3Ld6u2AiiD9\nvr8GQJsOLVgQupgGbfsDSHnvHCj2uTOmHzN6QbXu7ozs+AslHVRgasJEuamDLCNTyV4mfnh+Chuq\n/QjAK9HPcqux4bEOYBPa1GJUyQlA5ovw1jOYgCSyWpgzneGmFOrNzLthi/iCR195zzWt1soXJbfw\nDJJSkRmdRmuV6idsd7CRqoqYknYtfXrvi3ivOwNk9Ii+0X6eHVpWsM0LUQUPwucMoGySquCl8ykK\nQNAvF6lugIhVqhM24r2jUg49B9KnT1x6LiTT193PpGL4K6NUusmstXS8Xi3vQMD83G9jQZe+cLTT\nws2UWaj2zZlZnw96luTfV8cB8HvIX4SM6kvkZDWSbdwn3X82q1WRRdXUMikmnAmeZ78CVFKAQggh\nhBBCCCFskG9Ko5vi4gC48kMFbo1K5FJaaX/3uXZsVAHm43SHvV0r0t5tFXW3dwYgdZUPAROt50iN\nntiKen8dA2B20FIqjB5M8Bt5u9hZfuK+/TwDT7S39JDa4mBKEoneDsgcf2uDz9dUhSLs3ZDHlIxK\nPRr6NSWs0p++vRWA67PH78nR12nU+U4/9rkjLQEI+EjmqWbmTvvagMpWCZ6fAEDci3V4Y/QPALRy\nucXsuBKEDzsLgPHqNbu0s8DQqs/dpQG1iQsy0bCuSuGfF3DvFViLllhTIkdSMjIuKjgmkb4Qtc8+\nmZlmq9QTpyjzzika3Vbrpa3tP5ajradRL7AjAN5vRWDafdCeTSywTrVwp4ROfWYXx3tiOGK/OZT5\nJphKV3RmDJ8Pqkm3xmsAWGfwfKzTznLC8cBZRl9RhTy+DlzO1L4nASjymVoyTvtv5gvOrbtWFoDh\nRffiEfl436BSz5yFzqWo2GUgABO6fZ3pcQPnd8NwTQ3sLur7GaUdMtICj6UURdvtMkhHgJW/l9SA\nnhkV9+5OKRF5y2ePPBzZIqFtLbqV+NWS/pRiNmIy37tw1LVeUVQxfJ52jHr9yjdlAPBCJvVnxuVC\nEtdMKohqM2MlZR0vU9uwgesmFZTqNG58+lN7Sl+RYDQ7Lg2oDcCmt9ScvfT51Fl1qXhqHalhuDtx\nMuPx8GwTDaGS5vdQ0ot9ddw2hAnTp7C+slonrc7HL1KktQ5MkrSaI7UqMuuVaMvaUh+NeYUiZ+03\nEJDvgimA72PqcbSVWjG+dannST1+0r4NKiCMly6zPTZAbRTbTj+vIwAc7ap6qML+zfx95xaUUd+M\nyOUGFhCpZ88R8JGahDPxo8hMjylLxly+p8KGcPTpGZbtFi63med1Jb3AnEgT/OMV6JlRIv2LkEc3\nd+p6DQkOcsJt/zWZb2KDqxUdaO16ibsX6f0vnZcnCc/eIkyfEWRFjR+K3/cSBNyPZv1Omo5TN6Ea\nnXbzzZUodL8VZdS73wLw7tkoyozbZcdlOQuWvv0WPLKf9WK9GHa4e1oyiITt9H9v5eVpr7F+0HgA\nNlb9mRb6KMxJckXOiePt3ahp0LAlSXUSFPnGvhlVMmdKCCGEEEIIIWyQL0em7hZbyw93GZnKtoOn\nSqhvwnLwpruyVBx+KfpI2/M4KLbGEZ62dyvyP+Oho9TZ2Z6NVX4DYPSSkEe2eO/kRmq0a/D5moD9\nKvqIx8+n/7QgjIwS6YcmB7On9nSrY1wvyHhKdvhNUqN3ZyeBj+YIh79xp75TLADjRwWjv7PNns0r\nMK72jqKH5+S0LdVn3v9sQwA2LKhM8c1J6FdknMuENrW4GKVDE3QHgL311Whg+ny/93138MrSpsTW\ny6N/QCFX6tMNvNP+SQAmlYzhzPDq+H8sI9fZ4RDgD8AnbX/EhJlu3w0CoDT2PX/5Ppi6EaLF3d6N\nKEAiXjsOwOjV1Xi32PYHHn+9WxQ/D1ElO/ufeZoi8/dKGkUOXYmS4fnsKvIaLF6sFjPdWOU36ixp\n/9ABlS48hBYuOwEYPqcGgTy+BVSyy+zsaO8mFBoRU+MwAUcmqapJhxpNsZRMh4yy6ZKImjPxbWtx\n+OkvCf/tNQBCV8gyKTlh+s+dfFWMWtw0YEcKiT569KgCHwAXn01hYI0VDPA+lPZepXyMWjttatUf\n6V9iFR/JshOPzMrFaoFqesWQUFyeurLr0Kc+ALR2jWVxvCfBX9tnkd7/yvfBlMgZY6zqxftnVBS7\nPt9OZUdY0Fj1UL34W08cYjws60wleZtZ8upYTqZ6AnBiZAT6uK12aXeBZpBgKruMh44ypYWqasbi\nRWys8htBM3oBENYr5wUpkprVZET0bBbHqwAtcKQEUtlxqrU3Abvs3YqCx6xRvfV3V/M718SbOyOq\ncqiRWpQz/bUaW14GwK/tAbvf6Aui0eNmsDLBhYj31AO+XGUfzsEO6vMZ2y4Rg0bL3o8NVHBU10sX\njeM9wdcVYxLFp6rr6vumHsQX1+OBBLS5IbCcFKXJrh/qqKJgJky8u7c1Jc/ut3OLFJkzJYQQQggh\nhBA2sMvI1O2Oami5/+hf2RQXzKpfa1LqU8kXfZScF2zm/a1tuDzdjXVVfwRgR9S3aKO0/+mBMtBk\nWXcAwv6WUtU54RCoKid+90Tm5dNF5oyHVFrfFyERDJxRkxMt0iohnoc6O9uTsqAYPtMzH2HShYdw\n6clifDBC5fS3cNnJ4ninjNEuHs0crMLGfOos0TeCGeR13N5NKdA0Zixl0UF9v/G19BLoWO0vOUp9\nLwk8OZfauDo1DBupPWUY/rHybJBTLldMxJmSAXDXWqf0eqZtqzLomT8CHkg2MfD14biu2GTZ55E7\nTRXAybM+hHHK3s3I9869WZeaBjV9xYSWkmOyrqqa1+wSTJ1/St1ejGYN4S4XGTt4EuVKqElkYbNu\n4Vb8tj2aVeiknjtP0XYGmjYbAMDZpzSggXb11GTpF7030WHhIMK/U+fbnOVPEpkxG9RNqZ5BHpds\nFdZrC9X79AOgXq+tqjhFFWBUVu/YabUVtLgXkeNiLQGayJwpMZHLyRmPQ6WePAOj7digAsrxJlww\nJlPawTnLY769FcDEuW0JPCjFEnJK66rWRGw4IYZl8b4ETt0n6X02cJm3iQ4JQwFY+vWX2X7f3mT1\nFPBui1dw3b/pAUeLzMR2icJn/UWMR0/c9zjHKrGW74utkTms2RHc/DimtCfVhrs74rF5j51blMEu\nwVTEl7cAmDOkLKbqERyJLs7hDuoXPqF9MgaNnp3J6hIaNOuU5Js/BHNSEs7zVfCUvujebtK/1iKU\nTRJE2SptMcnLxnh8dRmL9r59uRoHJ5WX/PJsSh+FOjQdmoe353jnYnjVuJLl8XePXIWxRR62sum3\nQ1UY7auC0eLOcWR9hkVWin+xgTYub7BjUHSWx/we6UtpNsh11QanB1cG4E+faFp07IHmxs4HvENk\nxXGpyjRpXaqmDe8+/Ggb85jQhZVlyNu/cCKpGD/+8VSWx33aeRbNXNI7WzQU+Xm7XC8eQOflSVOf\nA2jTyk9fOuKDB8fs3KoMMmdKCCGEEEIIIWxgl5Ep0+6Dlu81G3ZxoKaOcqNVKtrSl8dS2sGRzrOH\nABB4VqpzifwpfRi/3YjX+XdCRirFX7PrUuInyfO3hfHQUQJHPihlT1L6bBEyOonh39cCYMfCcvjb\neV2OgqrUJxuILDoQgN2dJrEiwYtP3n3V8rq7jEjbrP8rCwH49Fp5tJv3S2+9KFCMh4/xQ41yBK1K\nYW+vyfc99u3LqjT66s+j8E6Wa8aDJFULobfXCrYkqTGgiKnXMdaqCPkk1S9/lEY3GSnzjgqa+r5T\nH0DWihEFhvvcjTSfW82yXUIeUkU+ZNx3iANpS5tIIPVwyo5Q96fnRqjgVAKoR6OKk5qE33vmQPxT\n5DMqCh5TXBzH6zrSQhtltT+lXgUATrTREznmBMar1wDwTpVn3ezSoqWmQaX5NfttM8uvRpL0hJ0b\nlSZ/BFNCCCGEeKx9EKw6pSTYFwWZOSX5nn0Oq9QcqdBV9l9gtiAyXIxjc5KGWgY1Xm1Eg7Fz/qnm\nJ3OmhBBCCCGEEMIGMjIlhBBCCCGEyJeM+w9bRq4znLNLWzKjMZtliqcQQgghhBBC5JSk+QkhhBBC\nCCGEDSSYEkIIIYQQQggbSDAlhBBCCCGEEDaQYEoIIYQQQgghbCDBlBBCCCGEEELYQIIpIYQQQggh\nhLCBBFNCCCGEEEIIYYOHXrS3qbZDvluoarnpV4292/AoyLnNHXJec4+c29wh5zX3yLnNHXJec4+c\n29wj5zZ3FPbzKiNTQgghhBBCCGEDCaaEEEIIIYQQwgYPneYn8r/kZ2oAcK28I0N6/cFNowsAyyp4\n2LNZQgghhBBCFGgSTBVmWh0nPqzF9lcnAmDQ6Gm8tz2ubzqnHbDffm0TIo3W1RWA689X4slhMXzs\nux2dRg2aV9rciZLvazHvOqgONhnt1UwhbHbywyhWvjoWgCazRhA4MsbOLRJCCPGoSJqfEEIIIYQQ\nQtggz0emrvSNIrFJHAC7or6jckwXltaaxv/ONQfg1McROC3cnNfNKpROzCnPvgaTAT0A5f/pTlCn\nXZjs26wCJ6VJdfQrtuXoPdd6RVF86RkAUs+czY1mFQq6okXQ/m4AYF3oZABMgMmsRqC21fwBFkHb\nes8BkHrytF3aWViYVgYAsDxyIeWj++M/ZoOdW1R4mKMqq68Oqo/S4WYCAKbdalS1uE5lBHRqs5YN\nIx3t0EIhRG5IaVIdgGsD4xkcvpoenhf5PLYMAFMWNyP4DRmJLuzyNJi62bkOm96djCntcd4E7Ij6\nFjDwdenVAOz7YjmD9INx+WNTXjat0Il7oQ7b63/OiVQjbWeOACD4s23ku9qU+Vzci3X4cswk1ieE\nALCwaknMSUn3fc+VflGsfmcCzzz3CgCezXO9mQWSrlgxjD8bWBC6wLJvyo2yfDe1OUMG/gZAZ/cL\nAKR+ra4ZZ9bUJWC0BAC20Do54e10B4AUs5Ehr85n/oxIAIxXr9mzaQWaQ6mSnJ3iyfLqXwLgrXXC\nhIldyer1Ua1esTp+5cVwnDmR180Uj7n0YP/MMyqtOiU0gWX1o62OabpmMACGE04ABC5WHd/mLXvy\nqpkFyp32ten54Tzau20EwFmjOkmMZhjkdRyAAZ0n07hye5yfkd/5wixPgildSBAAz7zx7wOPjXTU\nUvfdTexZWwQA47Xrudq2wuqTMdMwaPS0mzyMgLHq4VMCqey71akOAJM//oKKjnoqOp4CYJGm1APP\noy4JUswmvi33PQAd5/Wk5HMyP+2/TvUMZWdExs28ysZXKf2Bifi3b1uCqHSLIlTAlRSeQg2HYQSO\nkoAqpzRurgS6ZARN3TzOsMBNFadBgimbJLasRYn/O8rmMgsA69GmymmbRk8nerb9mx3JqkPAvUs8\nqXnczoLMXK8KAOcbuLBr0GTLfp1GS9sjz3Bpunq+8Jiz0S7ty+/Oj6hLaq04ltSaAoC/g/Ndrzpb\nHXuoyQyr7b86uwPw7uSu+E2Sa266692jAPh+5HiC9Xqa7u0EgMPYIlyrYKDUogtcauwHwOaRU1hY\nfg4dibJbex8XGgcHNI4Z12FzSirmlOQ8+btlzpQQQgghhBBC2CBPRqbiw30A+O2oCykmHQuOV7R6\n3bzDk139MnqoP/DdQquIXgBo1svIVE4c/0T1fjR02sn3t4oTsOgKUv8sZ3RenjR8Q/VyVnF0IBUj\nkSv7ABCavOuB7y/yTQwr3vSng5vq7R8euYJfilaQUdY0DqVKAtDr5SVW+w0rPDjaCfbXn8y2tEzK\nzgsG4HFMy5I3PgPAR+dMTPdxRGmGA0hVtJwwmkgyZVzyI34ZQNjFnXZsUMF1s7Mauf5tzDiK6dSc\nv8gV6hqBBvpVW8uaFuUAOPKOnj+89rE1SS1JkXrxUt43uAC62jsKXZurLKioRqN8dM5W831NZiO/\nhixh/Wg1J3iwX19KTJDRE4Dz88oxvuKvADzhvAUtWv47CvXkng5cueGW6fvHVJtPa9dYmrmoNL8y\nr03gjQ29JN0vTdkehwC4ZHSjz5CeOC9In+d/Ar8VYASKG2ReZG7S6B3RerhxdEQ4ACleRqqXP87c\n4L8tx4T82ZewfnlTgyFPginD4i0A+C+GnV7e+N/YZ/V6SpPq0C8vWlK4aStFsPolVX7XaHZh1sA2\n6A/krHCCgJMzA1jou9qyXWVDd0Jf3W7zz3vF/SITX22P30S50QOcfLUMAAO8FgJQafogAEpP30Ts\nV1UB6Dde7QuZos5Zj6Vq3knY3DOM9dtETLfxALTZPhTn+VKwJjuM4QGM9fvWsu3ofwdTYqIdW1Rw\nbRw7DYAUszMfXq3E1pZBhJ5R14j452rzZeJTFPvyBgA/RaqU637bOwNQGnkgfZDLA+sydVg01Q1Q\nZaMKUh1XemJyhC8Hq+CqlkElXNdzSgEgvqSUVkq3p/YcUtKK+LRs14OrlV1JfvYmAH6fG9Bfjcfj\n2Cncsvj9n1GjNcdnxTDU+zAA140uaI+fk47ZNDeGqA7BERX7UGSBdOjlBY3BQHKDCpzopAEgrMxF\nFkb8CaywHKPTaDHeNQ/jqar7yavyX3lezc944+Y9+9776mv0Gh0AKWZotKcDruulxzSnzAa9pWLU\nzuRUnE7FZnrx01QtD8D1ymrR3mLL1MTI1AsX86Sd+ZmxUTVmV59G+q/GnuQUSn2pt2+jChONBu8n\nrD9nQXMvA2A0GSm6Sc/qJ50ovukWkDHPz3hUfUY3jatDytgNuGnVaMBLHy/mzwNRGA8dzZv2CwGW\nB1UTJn7aX4OyN45bXnOZt4mSDrVZ9fkcy77mB5+ndAcJorIr9MVDVDdAhVkDCf5IZQOY4uPROjnx\ncnhfAFY1n4C/g7Pl/0J/W2YtpJtwPZhB3kcA0B06g8/GWJie8XpWQZFDCTXP52hbd0sgBTDh7NMY\nr8nzQTrz1r0AFNma9TFnWhS1fP/DrbDcblKhotE7ogsoSVKgqp1woruZgOKxrCw/4wHvtBazqBIB\n5E0ntlx9hBBCCCGEEMIGeT4yBaB1VxViUquEcPQVB4Id1pFiViMqJkzcWO2Hu/sVtR0XZ48mFkhH\nOrtavm+/sj9hR6y7TW53qE3sC3dYWkulqJRIG8V6a1BNAHa8mfP1lAqL1KfUOhFTv/2CsndVO+ox\nZig+q3M+jP/hvuZ0qD3bsj1p4DTGTKz08A0t4LSVI1ldMeO8jLpcFa5mzCUrOiOG8TPKA3szfb/H\nTxtp6DKEmA9Uqk8Pz9PMmhgl5eez4cRQe7eg8AhbqPLSD7aawp6GM3ltVQOOvK5SVM0aDaPGfGM5\ndnWCG3zgA5yxR1MLpADnWAA0qRpMiWoC5Y1XotCYzTSppkb40qvS1djYHYDS70kadbqVLcqz1L8h\nANq4zK+l/+VQqiTmH9T3e8PU9fWCUa2Vdj06EFdkZCq7dOXC+H2AmnJxy6Th+zEt8ULSAR/k4mt1\nAXBuepn1lX/J9JjLxngA+pxoz4mFwZb9dyomcqDJdBxQWW6Dztel9Ceb86yKtV2CqUMfqjSzA+3T\ni04YrF7fNngSDS+o9Q68vpcPYHaZDBk54+4HMiY/nn1bfUB/6z2OML0Tpv9MRP3ET81pa/R6GfQr\neCydaaLOV3og9cFVVSTF96e9Ni1yHNDlNB+uqwDA/3z24qRJeSTtLGwWnyqP37UDOXqP7+/7Gd5P\nFQAYX2Ijfq5xJDmpdVFkDlDW9Hrr5J6keElftVX4EJV61jykHUsif2diyX/Z+q16mNdhpqrBpIIo\nYFyvzujW2j7n8nG0M9Yf/LYwr8s4znT2BOBkygW6eVgHpI32dKBMd7WQt8znyZB66gyaU+pcZedh\n8vKAuvQcsJDenict+z68Wok/ZzwBgO9vEqhml6Zqeep/t9XyLNH8YGu8Zstz7H9p9I4c+ko9Z7l5\nqaB9RKQKoDq7X7Y69popgf4n23D01zDczqnfdNffN1HyrgD/2Lg63DQlU1SrzvuKFVUJMuXdfOo8\nD6YS2tTij9aT0rZUlmGTgQN5bvRyAAZ4qyoplQbsBuDsPHcZncqm356djDbtv9Ss5uhxeFotjrZK\nX5vDiUHn6xLzXTUAfCdvQFfcl45r1fy0dZX+4IlWvXFa+PhN6P/qhYyE8m3JRpZ/3AAA9zjb1i4x\nxcVxK9XJsu2pTUJXXlWdMe479BAtLVz0C71y/B7jjZss3FoLgPGtNvJryBJah7+sXtyVs8DscRY6\nRQJ8W6Uv3G3olEDE6AEcbDWFGgZ1k9eiJSZJz/geLwFIIGUDQz8H3vq5Jp/4bSFEn9ZB4nzvyN6N\n1X643jp+z36RPZcHqI7WuW+MJcgh437V4WhzUl7S4XtOgqicODk6ijkvT6KKowPn0kZQLv9eGs/m\nJTAs2WLn1uUvl3tU583afwLQy/Pe3+1RVyqzZFp9AJyvmXD7dRPFuXrPcab6ah26Z5/YQVGtMy0O\ntQIgcEkimPLUfVjuAAAgAElEQVSuiyXPg6kkDx2r7kQCcDA5lm+6tsZl01Z+9H0GgAEj1YPmZP81\nAJT7YBAhr8lifNlhRIMprR9KY4a4F+qwotk4Eszqv7nqD68ROv4ovlcyLpDGS5f5ZG57AF7pOZnT\nzSBsYd633d6edFbjT0YzvHP8edzn5vwz5xAUCEBSoJp4WsqwxvJamN6Jdr+tBeCXSL+HbG3BdbiL\nh9W292HbRpJCfkoLBFo9bIseDw5+xRlTaZ5le3eyEd3tJOnNf0jGK1fw2RyCtlXG9GO9Rsc/tyPQ\nrt1hx5YVbMYjx9lfz4k2bk+DRp3b091D2TE4YwmVyjFdKP35NlmM3gYXh9SlfMcDRPurVLQgBydO\npCbSbsoIAErPOUXquXP2bGKBcvNllSmxt3tGh3YpnVoKYes7kzFh5s873gC883NnyozelmeLyeZX\nupbXLEFUuXVd8VjqavV6sfWXKXb4wSN6J55TnQDfF1+JTuNG4lhVadHwb94Gr1KAQgghhBBCCCFs\nkOcjU16zY1g2O7132gMNKvfcZ7qKQGt4DGH70IzeJ3PRxzt6z4k/b1ajajGVsnfH30SfHosp7eBM\n+PLeAIS+FZNpT3SKh6zPcbcRgUvpM7UbAJETr93z+rU6vqS0v3cB3heCVDrP60UyT+Or66zSUX7h\n8R2Z0vkl2LsJjydnJ8sCnACvH+2A4/7D93mDyI7Up6rz0dszMWFiU5Kag6bDREv3XfxTV113NRse\nvNC3uJcpMRESE6GWmlcxuOt8ALqdagxA0JDrpKalW4oHcwjwB+DCFFcWVvmMEjpnDqeo/vQ62zvh\nMdmDkstU1kqq3VpZMHmcUBkWv9/2QasxcTixBCsuRgDQv8xqdJhp66rWnWvbYwoh/r0J76cKqZgf\n089wkdbHqNepPwDBu25g2rvb6vXsZE2YoyrT5kk1LcVX50LVj/vjt1o9h+X1U61dClDcj9/GBEx3\nnYYDjafzROdBeP4oqX4P8mNMFKNaq2Bqe4eJ6NBwItVI5HuqMmJmF0itiwudGq23bBfdrsuLpuY7\nDfc8B8DqCr/T2DmJo61VxUNaP5qffzo1nkHdVFEVHY/vHArHna7QMGP7Ym1nSv5rv/YIYQvjk2re\n6Ztffc8TzvGsTnCzzJE62knPwVZTOD5QTVwtK9NObKaLDOXIUHVP6uZxhtumJC78rywADucez8qz\ntrgwrC7tuqwB4G2fPYAzX98szczx6gbn8/WD06l0YWVJ8XW32qddJ+uBAmjS1kX9NjzQss/ASQC+\nJgi0Oj7upeb5LnhnLEef+YrmVbuqAzdaBxGPDZPR8lxva+BzaqiZ74r9A8AHV2tT4qeDGO1UhCrf\nBVMONxPYlQyVM4rRUWfYVg78aL82FRQBS7E8/LtpDJgw88xfgwk7mXVBCe/lBkYVU0+z9Xd3pNhc\n26rXFXTOz6hFYWstfJHN1X626Wf0PqOihNWbVBW/aS2+BqCxcxLtdvWg2OrHN4hKF7DsBgzO2NbW\nj4VxOfsZuuK+PBGd8YQaHRuK9pIaKXwcP7si7334jVo8Mr1qn1XFvk7qoal7BfWAut6vDKkXL9ml\nnQXduaeLsf8JlaliwkTtH4cTul+N8Mvoyf05lFJzR85M8WRV9bF4atXckqMpSXTb/ypFutyk6BX1\nGdV5eWIKLW31/iOdXCkarjIztBoz/YPX0Mk943O8LQlGBVfPi39KwWcyWrKvWjq+wba3JnOsvZpT\nVVbGCWxybGwUa6LG4ps2N23RlIb43rHfPFWZMyWEEEIIIYQQNsh3I1Om3QfpM24IG9+eZNm370YJ\ntLLg4QO5HbnBiVQ1xBmmdwWziWIx96bt6YoWAcBlvpbZZf5mfZI6xvN/To99Gfpi7U/Ryq0JR4er\nMuamQOshY/cYZ9zPpHK5mgPBXxy0es2coI4NjVddTcvqq1z/xs5bMa4umttNLxA0KUYupS0EWVzn\njLdLAhq9GobObnWj1LIlGFH0L8v29H31KXPxMU2VEHnu9K8VqW5QKWYmYOSH3fHOZGHvYINaK2W9\nS2ReNq/QMDWoyvoREzClLcIZubIPoW/FyIhUNjj4FafCovMAzPddCGSUPW8343USgpOJn6EHfAAI\nK3qFn4JnZfnzkswpLLpTgl9u+wIwcktryn5pssx5F9lXauFZDg+X9RBtldSiJgD/13IeJXQuRMwe\nAEDID7vsus5kvgumAG6Xti52emJnKcpKMPVAxv2HeW6aKm26e6Aqxznq3W8ZUrErANpkDYG1z9Kx\npCoZ+arHOX6MK87sni3V69sk/9mclIQxKYmgt++fQx644P4TJM31qtDK6/tH27hCwLjvEB32dQHg\nn0q/sLz877QJfkG9dujoA9+viwyl3dfLLNuvnGxKyLCr8oCVQ1dvu1LS3o0ogC4NrsvuutHoNeoB\nP2hpH8JmWV8rtK4paNEy+UQjAFyPyzpIOeUQXAbN6IsYNHpGXa4KQOirkiadXYdeD2K+75JMX9vV\nPzrT/TuSTVw3ulnt67f2FQC8t+gpNi3jcx6ClP23WVIyJjT2bkWBpRmqOqm6eqjOgpLr1ZOYKT7e\nbm0COwRTV/pGcfsJ9Y8O6nRvr4a2Sjk+em4O2rQMxAvGBMoOl6TS7PIfo+aSzO/mRWvXWJ52vsOB\nTlMsr2vvWouq7o5O+LQ/jTZRgqhHTbN+JwtvqMXkGvhttXNr8rf4ELX+huE+axkntlTzUF4d+yev\nemSsf3L6izDcz8n14UGSS3lbbRed6ZrFkeJ+tE2uYcLETZMaRS2+KuMWao6qDMDBp2by5x1vPPur\nGXwS6OdcrXmHedtnD7/c9mXzsBrA4124J6d0CRp2JGfMIC2mTcLfwdnqmAMpKTw3fygATpe0BP52\nEeMR68A/DLl3PWqhi64SoTfgI/Fojp37ozzLw6cDMONmOD+/3hyXNXsB+8+XljlTQgghhBBCCGGD\nPB+Ziq1iZF6drwDo3WUoRf/Yi7aIF3fKqbV3uk+cRxvXq+xOVqMnwwYNw4msq9GJzM3s0AK/eT9S\ny3Dv+vA/xRUHwKf9abvmmBZ2u2+UAuBtrYlSiy9la92Ex4HxZ5V3TyX15YNoVRlt9O1uaNdad9fp\nQoI4NKA42ztMBMBF48glYwItxr8BQKlVR+S8ZsPRrvkyo7vAeb6MyqY4larSdLQpEPdCHWIjtazt\nMTbtKCcmnWiM8/ETdmplwaRxcOBiPzUC/ZbPJC4Zk/j4uxfwXy215XOqzLsxvPtuTcu2qX4Vzj7l\nYnVM8DenCDmbMaov19GHF/98bUwOGtx++U+2hEbD0Qm1AfjTL5rLxiSKbFeVEuW8Z0/K0zVYVXMS\nRbXqc/z31XI4r9ln9/S+dHa5w0Y6qgGxfz/+gtcGNqCS63Z6eJ4GsKwx1XG+qp8cskhSeGxh2nWA\nUd17crKVI92brgagiMNtJuxuTOBkdf4lvS93OfZU53mPvizGw8fs3Jr8o+hvqlhE5NM9OfDkTKIM\n6nby0ayv6DF1CIlFzLzb9lcASun30NApGVBFKt6+VIM10XXw+1Y9YMmNSOSl309UYUTRPUTq1QK9\nqyfcPf9EfUYjVvck4vXzkt6XQ6kNKvHRkG8AOJuaRKuZbxDwsQRSj4J23U5Kr7PeJ5/PR2/WxPHo\nNfD20JZsWa0Kz5j08PIza1ni8yUAsaZkOvcciv6ApFDmxOmmeopqM1JVr0wMxiV+kx1bZC3Pgyn3\nw9Z/5UTLip0ZGYc1Jg0hbKpaHdreeZAFmW7NdsqugbWkfwCdCUKqnuWV1BOn7N2EfMl05w4AIROS\n2RylsYyeVnXUsn1I5pOj376k5k3EfFSLIr8/eIFJkbn/XVbrwjiv2S/XVhsUmeRKRMcBHG411bLv\n7Yu18TPcZPUL6jMasm+HPKjmkKZmRT79ZhqVHFVhj7CFwyj3wzk5j6JA6fracKZMmMR3gaug6yqr\n126bkwB49v3XKfq33MNyIrVxdf7oMBFwJPzn/gCELNnBvXlX9iNzpoQQQgghhBDCBnk+MuX/3UGm\ndFdr+AzwVuW73r5Ymz+2qF49/2Ua/P/aLnN5hCjkzNv28UFwteweDYAr+WdYvyDx3qqHZvDLZjWP\nIuzOFju3qGByWLWNsFXQsm/1u/aa2Is7cJ9ylCJTumLFAKj/9WYqOerodqoxAJETr8vIvihwXP7Y\nxP/FtOXwa0E0baTm/64/F4QZKBat5voUXSmjUjl1prEj5dPWo9Qmq/mq5qQkezbpHnkeTBmvXWdZ\nBQ8AlpE+QdJE2F1FJiT9RAghHp1i02JoOa06YUgQJfIHXWQoHeetBaCu8wnClw8mvO8+AEyJD15z\nToj8KPXCRYLfuEj6LGk/Dti1PYVNiQ35c6a0lHgSQgghRJ7R6B059aEj0UeeBOCrH54ndO5G6UgV\nQtwj6H+baflBXQCckrfZuTWZkzlTQgghhBBCCGEDGZkSQgghRJ4xpyTj326fvZshhCgITEZMifkz\nvS+dxmzOT8UFhRBCCCGEEKJgkDQ/IYQQQgghhLCBBFNCCCGEEEIIYQMJpoQQQgghhBDCBhJMCSGE\nEEIIIYQNJJgSQgghhBBCCBtIMCWEEEIIIYQQNpBgSgghhBBCCCFs8NCL9jbVdsh3C1UtN/2qsXcb\nHgU5t7lDzmvukXObO+S85h45t7lDzmvukXObe+Tc5o7Cfl5lZEoIIYQQQgghbCDBlBBCCCGEEELY\nQIKpx0Bslyhiu0Sx7PxOWOnPrZfqcOulOvZulhBCCCGEEAWaBFOFnENwGZoMXU+ToetJMRtZFLGA\nYn1OUqzPSTu3TAiRl+Kfq03xGA+Kx3gQ94J0pgghhBCPwkMXoBD5l0MJPyr8fpL3fXdY7T81LxgA\nPy7ao1lCWElqURMATaoZx2Vb7dyawul2h9r8NH48JXTOAMSPX0arpCE4z99s55YJIYQQBZuMTAkh\nhBBCCCGEDewyMqUrVgyAk31C+aZ7NNUNoNfoAHj2YAvOLQ2k5Gcb7NG0QuVC2yDm+y622hf+R39C\nJ8XYqUWPh7JbnPh3bjVKjpPP8P3EvViH8KH7mBkwHYAEczKVVvYn8s1zpF68ZOfWFR66yFCGffST\nZVQKIMVswvl8gh1bJYQQBd/5N+pyOyIZgMPPqHuZXqMjxWzM9Hi9RkfZuX2JiFaZQanHT+ZJOwsS\nrbs7GI1onJ0AODYsnLqN97J/SgWK/L5LHWQyYUpMtGMrreV5MKWtUo4Xf/4bgBfclwBgAlLSKtAv\nCJ/P6tJujNvSGQDd6u153cRC4XL/unz3xgRAb9k35UZZIqbGYjTnu3L/+ZrGYCA1qjwAujVZfx61\nlSIAeLv4TJqbq+VJ2wqi459FARDTaRyeWidALfVg0Og51GQGQxbWY+sUdYxr5/OYzRlLQZzdVYKg\nRYlo1+645+cKa+lFZmZ+PJEwvaPVa3EmM2zeY49mFUq68BAO9vexbH/e/Htau8ZbtstN7U/g+J0A\nHH+7MstfHcukKw0B2F/PMV89FOQnunJhlPjmPABfBfyDCTPatOvFlzeCWPpsRVLPnLVnE8VjJqlZ\nTa73uQ3AmArzqO8Ug5NGPUqb0o5JMYPJsmUtxQz7O0ZT/dIQAEp9cjK3m5x/adUgyrXutUjy1nCn\nfBIAE+rN5aNDzXHWpwCwv8IUdfwnaxk1vDIAc9bXBddUSv2pzr3b0j2Y4uOxlzwNpq72juLN1+fQ\nxvUqADuStHRa2ZeSy3WkuKgL5Af/+4ZGzrcZPlCdVP/VednCwmPOG+MI0RsAiI4NBWB559qY9h+w\nZ7MKpEs9qnOjQioAYWuyPs5sUIFr8btGAIS1K32jiOk0zrL99P7nub64FABGA6R4mFn+ylhuvLcG\ngIkXm9LTdy21DGkdAOXh6gsJNFg3EIDQ7gflQTQTt16qw9SPJgHcE0iJR0fr6sr5XpUZ3OcPXvU4\nZ/Vayl19Vrv6RkPf9K1/AWf+57sOgM5OzUA+w/eqVZFbH9xhXoB6CDChTXtAVbMTensdZfkPkaQ+\nYcc2FgA6b280nu6WbbOjnoODVeA/o9lMdQxmuv/Vy3KM70YN3vP2YLpzJ28bm085lCoJwIWp7kyr\n+CWV0y6pWrSY7nqMnnkzmN23/dFpzOwcVwWAiw3M+K3TMPLDbwFo7Kwe+Os9rzoET36SV/+K/Ofs\nW7UB2D1g8j2vtar6c6bv+dBXdQK+3zZthKqp+tLh2DPEvxaEedu+R9/QbJA5U0IIIYQQQghhgzwd\nmbpdGp5zvc7uZNVlN2J4f8LmbbI65vXW7dlWe1ZeNqvQ0FQtz8R5MwAI1qtRkgnXI/inVSQAppMy\nKmULp1aX0F7zsHczCjyHMqUZO+KrtNQ+CFvYj7C+m/HjlNVxa9qV4ZthzwFgWLKF/kMHkuCrrhme\nR2Ds/6Zz6IlvABj0b11OvhqK8cCRPPyX5H9Fe5+ivGPG5b3H6UZM8P/Lcu6b/DOIECRV0la6UFUR\ntdn8bfT1+geAE6lqdOmZFUNwOu1ISrjqgT7wxNf3vL//2YYc+lilDjvfkIqK/3VpUF2mvRaNv0MC\n71+uC8CfP9cn8MdTXG8QAMA/46aw54g/YVKV9r6OT/dnT71Z9z1Gi4ZDz32ZseM5GDKkHsvWqVTh\n0Ld2YE5KysVW5m9XnwoEYGnVcXhqM0b6/4p3553pXTHcVPcn37WXMR4+BoA7G9XXuerYfk+9CsDh\nFtPyqtn53r6B6jNnfAQzT34tu4yQvn0I6/XgY3NDngZTZcftJ8J1ABGfnQTA5UJGIOUQqC6QS2tM\nBwyYd3jmZdMKvNsdalNhxG5Lah+o9L41napjOnnQji0r+NZV+pUtSeq3fRTVszwuNtItr5pUIB3p\nW4onnVL44GolACKG78s0q/zjXzoQuCSjSIrf59aFPD7Z3YknF/4IQHTJDUSO6kpwF/W5f5xv+Hfb\nd8QfVHYvYUv7UGSzHv27yyyva8872allBZ8uNJhm87cB0NfrOF/fLE307DYELlDp62H7t6J1ceHo\nzLBM33/JmMDeSRXxWLAxz9pc0Ex7LZqNCWX5cXwzinyjrgWBAac51TmQ2s/tBqDh7o6Ue+8CqfZs\naD5mrqvmlsRETQUM97z+d4Ir/9vX1mrfD5VVKlqY3pFJJddDx/UAtP28LamnzuRug/Mxr9nqM/is\n2+skFM+Yw1v6vQ2UJOP+lHnJCbg4tC6daq7LzSYWesMv1uJOqoEZAeuzPCYy5FyW/we5LU+DKeON\nm4S8tjHTi9+ZdiqYKq5zpsPR5gR8KJXQcqTHFSaXsv5l/f39prjt3ZTFG0R26TRaOi3rDUAYD+5F\n1qLhrpoJIo0m6A4mzCyYqSY5FL+T+e944Mj7V5s0b9vHE33U/8eELyazr8G3VB06CIBSn8p1AyBi\n2EFaT3lFfX94PxoXZw686Uj1e5+pRA4dGunJAq/jAKxP1LPgxQb4795gdRO/1bIS+5+Ykun7nx85\nAu85UlE1M+nFaWoatvNyTCPKfpNxnuKqlSSpiJmvAtRIYPixHnicPWaXdhYEmg1qTkmNX4dhdjAT\nVkEV6rj+fWmKrT6LOT4R3yvWHa1vlFAZAYF/3lDBlLBSbGrOf29PfBLFvleiLdt6jY5pN0pzpmtA\n2p7Dj6h1Bc/Pcd4AdHC7xgVjPI1+HgGAyzkNXsesIwWXFbsxJd7hiZbq3n+hrg63M7DlfxnX2U+C\n/uCNqj0AMO/I27lTMmdKCCGEEEIIIWxgl3Wm7qapXp5zjTzZ/pqK3C8ZEzj+Z1lKIOvM5MTl69mf\n03O7o8qDTnG2Hj7RGs14/iCpJ/9lNJsgGzm91yuorybMaKT6/D0+rfYHAI63Hv7kOC1UI4Qv1RnC\n3q6Tadhelaw/9b0fqRdkDoUpLg527s/YER9PolkPpNitTYXRxVRPNOcuW+3ThZXlart7S/Q+vf95\nAHzm77dbKkp+16GpGg0xZXLBdV6wmchhfpbX9Ielamp2hAxT9/T0M+rNuSxTIw++UQaAuSU+B/SM\nuKiqrZmu38jVNhY2murlafydOu9dPMdhImOe1bQbpVnQsQGm/TL9YnYzlaXydYA32oRUgjdnPfKX\nPiXAaZG69wctAq2LCyG11CSpo0/PoLzekcNDVfpFaJfca3dm7LNob9EiAByJLs3ielMIdHAkfZAs\n3qzBrMs4xnjtuj2aWGCce0tNzt3V8HNAZ9nf8mAbvDZaXzR15cJI+iKRuWGqNPV/S3jHmhLpurQ1\nxqvXcrvZhVKquzwi3U8rl1tZrLxhu+BP9hLdJtSSktKw0QA85kgwJXJPqd/17Kuvrqzt3K4y7ScP\nXF7SWK6bLl/fZG/wL1bvGXK+Hs4vxgEq3V1kblsfNc9HO28nQ6qsYtKcRvj+qeb3abteZlHIryyO\nV/Opg78+JfOlHhGdlycnB5RnxfOfAWDQOLMvOZW/ltQEoEycpKVml658OF1/WmRZAoi0QKrxnhcA\n8BjmIIFUmvQFi7U2Llxsio+n7Hdp3QRPqy8dKqmO1T0+RfP0WdYuwdSZbmpx071PTAKs10AJdHBk\n65BJfNu1DAALm1Ym9dz5PG5hwREfoSbc6zU6q/26FxJITfsgaaqrqlEtZv9Db8+TgAqirhoTGHSq\nLT8Fq4np3lonDowtQ1g3CabS6Yr75vg9B1JSKDVt1yMPHMS9THFx/Hm+EoO8VTW/a63j8Zhj50bl\nU1qNKeM6IXP6bOY8fzP9ndSCm2vHT2F5+d9p/GN7HD9RFb/8XXZbHX8gJYXtn1fB85qM+j9Q2kLS\nDfe0Z1XFufR94jimJ9SVVJu2ztTm26qSYurZc1n+GJE9xifV4vKmd6+wKyKa9GeDS8YEBg0bTpl5\nEkQ9iC4kiDsRxQBI6BdL96B1POd6/Z77/8qKqqxfg7EvUfT/IjDtloAqN0Q6q3hhr7N/nv69dgmm\nAuZfAGBeL1/OpBThy3WNKfeJ6k0++5w//9f3J7p5ngRg7OutCHlNgqmH0eJ7VZiid9o53ZGsfs0H\nvj8Cn0WH+WW9Chiec72AyxGZoX63sy+HZLo/PT0VsKT0vd9I9Ua339iboDu7M33f46zv2QZM8//X\nUg3J+xH93Pg5JdB+JNHBg5jMWlLMKs2v9LJkO7emYPNcrCY31yw2iK+GTWJlhd/gB+tjDqSoc937\nnaF4/iiBVE64PXucej0Gk9zqBi0D1bkuZYilt+dJ/vy5vtpGis3YRKsj5akq6P7vMssi1KK9SeZU\nfr9dnHf+UqMnoW/uwCVJilc9SELbWsycNDEtu+puWZcjWF/lZ776uQyL26tiK8b9j28Bitzw5TGV\nOuh9Jm+XS5ECFEIIIYQQQghhA7uMTBmPngDg23CVFhHGZkvus9/E03xx/gXaTVDlDg92nMJT//TH\nZZ70kmRHlY1qYbiAuKMAXO5flxc8xqa96sRVYwID31flJ71nxWAE7pjUaJQJEzpZpsdK/Re3o9No\n6VV/LQDb/w1gbvDfgNoPaQUq7tK5wSyaUy2vm5rvrfurMqZe/9Dt1aUALJ9aShVKeEi6ZDNJZnUF\naRW6l70P/RMLn8RWtQjXryM9jcdh5Tb7NqiAS//cFo/ewKCbg1k3ZrLV6/uSU+n77lAAGZWyUdGv\nY+Br2JbW5/v+uZOYJHnaZg5B6nnr+pcO/FPpKyBjUn+bQ+1weM2VkN3WxSrE/f3z5VekmK3X7Ot2\nqjHr94XisVcPgN8kNYJ6eIaaf3aixQx6e57kt9LPAuC4H2EjrasrSa4qdT39eezmDh8AvLXHwZR3\n89jtXs0vM95bLvLnHZUE1NL1Gperaykzz86NKiBS96uqfumLl96MMOKtzfhlr//H64TMysiDTnm6\nBpUM0wEwaPTEVUiiRB62N79b+0c1jAM3MKKouuId9dhBi0MdOHSwFOHfWFfs+uw3lTLRe//LeHI0\nz9ua35VeEsfpbgmW+U0/dH6GYtMePie/yMaLnDWqlKpP/LbQ8j4LKz+uYsMc8NHdv/qZtnIkmtMq\n3doYG5sXzSrwdF6e3Gl765797Tf0paxURn0krvVQ6VBatrMtSStryeVQSpPqJL0ey5tlVSdWMxfV\nEdDyYBuSxqu7vWHJFqsw1Vy3MvElnLgZrPvvjwOgQcftHKuZmKvtLgiqftQf7bNXLdv6n4tQZMkh\nwmK33HNsenCV0tyICROGN9T0FfPSvGlrYaDz9uZCp0gANGYz3QYuob/XvwAY03oA9ndTAzGVy71C\n/C0nIv9Pza3M7Sq/+TKYSj1+kgOJJQEVTInM6by9KeGX9UOP1tUVF//blu2bpkRczmpJfqYGADf6\n32ZqxemWhTwnXI+g3HuXpULSXfzHbCAksC+e+9SvSqlF5zCfOEUY5+7pvUs0qxvP9VsueOZxOwuE\nzXtoumYwh5rMAODj179h/L6X0P6746F+7NlWJQlyUB0Gb12sCdJ7nW1ad3cADk4M56enpvPSP2pB\nxNCuMnJ1PzoP1Wl1pnd5dtRWy3qkz5GKN+nRO8pV9JGoVZE/RqnMChPODPu/AbgjQeqDmOtVIeU9\n9WwwP3IyLpqMOT0Dz9XndPdAHOITOdFb3ddSX6zGmie/sBzjrtmAXqPFoNFb9iWZU9ierK6zXf/q\nQyiSLeQ7ZQP8Z23urMZC0keoeEN9CXRTlapP5krLCp+rfaJo1m8dH/p+CdybEfRfu2rPBuDTair4\nWlspd5dSkDlTQgghhBBCCGGDfDkyJbInpUIZ1lScabWvXUu13s7CChXwdE5kR8XvM443m6HeDb4Z\npPKl/R1UpD7huipVv6ZTdUynpFznf4X13Wz5Pqv+Zl3RIjhpZJ2pBwnrvY++a1W1nWkBa3Ga9R1v\nvtcHAK/ZtqX8ebfIqPa58EgFgpBKiv9VqZ11Yv7RiXUIe2c3Z/tUBOBwMzW6ElZapULInIn7O/ih\n6u081E6dt0Z7OuD2jrqeun1+icjiF7ljt9YVHrfKulIiLT111OWquM+VUakHiXuxDiM//JbGzulp\n6NaV5s9tIu4AACAASURBVCaXWgfL1lnt02t0pJite+5PpyYw6UoDABbuqYTfcj0ec9T5l1EpkZcu\n96/L8v8bi7fWmZyOAb1Z9AAAa3N5Hnu+DKbin6vNAO+JaVv6+x77ONNfvMmn19QaUm8WVeVj3/fd\nYfX1bj46Z7bXmk36JHRQN6hdbdXEVAmkbHe1VTiR+uX2bka+Z05K4kJ39Xn76Y/idHa/zKZPpwIQ\nUqUv4eNOZiu3WedTFIBDE0tzuPzXXDAmAFAmWgbb/0sXHkLP4n9Y7dvfMZovmkYw1Dvaav+hoyq9\nOgxZwycrx8bVYX7rz9O29FT8eiDBXxzGePV42j4fezWtcKlVkYkfTbEUnVgeXY8iyLpHD3Kj/e27\nAql7RceGEr2lESTq6FRHBUe/7K+O6ZojugR1/fRflYL+VgqamF0AhCFpvw8rtmtU2ndyLnPqtcG/\npAVSOVdr+4sA+JC7JejzXTClMRg4+4wZN23Gekel1siaKJkxHjnOhudVD+nAOd4461Jo5aWCqIZO\nWZ+zwynqtY/ONefmK56knjqZ620t7Hw2X+NsaoK9m1EgpK+rMbdpHcZM8GZv3e8AOPDiFP5u48pb\ne54n6YCadeZ8RYP/r6cs773eMIBrFTR81kHlQ7dw+ZtYUyJtPlQVKn3Wy8NWOl1YWQDq/rqXek4p\nVq85oGOod8bNZXeykUFvDSZiieqUkVlnmUtoU4sF7ScSple9/U/vf57gSYcwXruOQ4BaJLKu937W\nXS9rz2YWCsfbu1HToGFLknrAL/KN/G5nR4PSx6zuRZeMzry0qD/ux9Sc3lLf7SPshnqg3+nhBUDZ\nWw83b1U82JV6Kq9FjQKCTiPj/w9yfkRdAJ51HcvdgwCZ2ZeSTNdPX8P9jMoQulBXR4kNRoqfuAlk\nPZftUZFuXCGEEEIIIYSwQZ6PTGkMBoy1yqm//GYCpt0HLfsBDn1emYOtplh6Riuv707gChkWzUr6\nml0na6ntXc90A2D2jM8pnkUp5JfHDgfSKtEgJZAfhTtlvfDSSt9ETqSeOUvQSGciR3UFYF+Db3na\n+Q5P15oNaZ9nLRpMr9/bg6dFA0CsKZFnP3gdnxnSa/1fh/sUA2BBWgpwZuru6ASAb5/buJ/bKCNS\nWdB5qZHSmV9MJMjBib8TXAFw7nAD4w3V83l+shsAg7yPEP1vE8K4Yp/GFgIOAf580vZHTJjp9t0g\nAEojJdGz42StBPpS32rf3XOc7u6hN966t6y/eDDTE1UBuB7uhO9Pe++7XuKd9rVx7neeZSEqNTjF\n7MSfd7w59JaaouEgaX+Zcgguw3u9fgCg6H1S/GbcDABgfucnKbYj4zkgaJH6mlcz2fM8mNKV9GPB\nz6oAwq5k6DNuCM5XTYQMVROkF5RWdSZXJ6gbU/CgS3l2MgoDx2VbAehRun6Wx/jKTemRc1q4mSNf\nyPy+nDIeOEJwF9WR0qZ0B451Lc5LLdfSw1sV/TiU4sn+RH+r9/xxvgrnN6u5PWXnXKfoPgmkMlNk\njwo4USnjvH2pBhcSVVCwYVs4/ivNFP1LzYlITZLVuu/n8LsqnTrIYRUXjAl8/PYAANxuqDknF4bV\nZUU1VcJ7ZUIRIqbflsD0Idyc4Uhr11jC/upD2PtyvxL5y9HO6tH5cIvJjOpXlb9OqwECz2nunGql\noVWtHZjMqnN1sO8EAh0cSS8EsjrBiS/7dZCF0x/geh0/2rreuO8xx1ITmP1eKwDcdti3OI1d50xV\ndoSNb08CQJuWcbg72UzH+YMJn6YWQjNeksVPhSjM0heYNh45Tpl3jrPhHUfW1xsIgP7cdVJPnrY6\n3pFTlEHNo5KOlqx5py3O3XJW+iLGZkDdnNJ7qiVrP3uMLhmhUY8jnbheTt2vrr9Xl/rNdvFzyXG4\npS2OPur97njtlADfFukL9MZUnMyUG2Up994FWfdQ5Dshs9Wn8sDTKYzy3cYo37TAKK24shatpXAK\nOJJoTqXKcnVPC/nGhMO/Ekg9rAvGeJr/MoKyv+SPa63kJQkhhBBCCCGEDfJ8ZMp8K44pseEADPA+\nZNkftrAfAKUXQciijdLjLAqcWVcb2LsJhYZm/U4g63W9hLCXJRHzIeK/ew2E/aXWSwv/aYuM+NlA\n5+VJl2FLAFXx7IuVzxB6VtYzEvmP9l9V/XBYt/5M+PZLwvW6LI/97bYfn8x4gbBxkq6aE56/bie8\nRQ8AzGZY3TCaUjoXmpdT61RiMlP2Vv4YlQI7BFPGa9dZVsEDgGXUtOwPY3NWbxGiQDhWMxFAFo0V\nopCJHKkK/dDaev/uZCMdFwym7K+JhMWoByyzSboCbZFULYTeXisA6Hb6KSKmXpdOVZGv6VZvZ0SZ\nOg88rqTMU88xc0oyZTtnlOzvZSmqctM+DXqAfLfOlBBCCJGfGK+oynwtS1W/57UQ7DvxubBwWLWN\n1qXSO1jj0v4IIUT+J3OmhBBCCCGEEMIGEkwJIYQQQgghhA00ZrNMlRVCCCGEEEKInJKRKSGEEEII\nIYSwgQRTQgghhBBCCGEDCaaEEEIIIYQQwgYSTAkhhBBCCCGEDSSYEkIIIYQQQggbSDAlhBBCCCGE\nEDZweNgf0FTbId/VVl9u+lVj7zY8CnJuc4ec19wj5zZ3yHnNPXJuc4ec19wj5zb3yLnNHYX9vMrI\nlBBCCCGEEELYQIIpIYQQQgghhLCBBFNCCCGEEEIIYYOHnjMl8j+dhwcAFzuX5+UBy/BxuAXAB9ta\nYdjrjP+YDfZsnhBCCCHyUGLLWlx4ORGAfQ2+tXqtxthB+H0uzwVCZJcEU4WcxmCg0YZzAAzzXgPA\n73e8ATDscyZgRRz5blagEOKR0oUE8fnKH+jy1nAAPH7aaOcWCSHsQVfcl9j/Z+8+A6os2wCO/89g\ny0ZAEVS2I3PkQC0zNUvNkebIskxzz2zpW2Z7aJozR2ZZ5l5laZqpmXsvRNy5FUQcgMA55/1ww4Ej\noIjAAbx+X+R5znPw8vGMe1z3dT8VyIcfz6Sxg+pMpZgMFtd0f/0PJgQ2J2z4QQCMt24VepzFkc7H\nG69lSeg0Jrb9/ggAFRbHYIiMtnJkoqBJmp8QQgghhBBC5IHMTJVQGr2ehFY1+eDrmTxpnwLAC8eb\nc2xZCH5T9wJQLmGzzEqJIk3n6YHpVgLGpCRrh1KsaYwmUkxanhu+DoANcx2sHFHJca1bBJ3e/pPB\n7sfM53QaLQaTEYCQpX0Je+egeXRfW70y55q4UXb8dgBMqamFH7R46Oh8vAFwW5LCovIT0s9me20v\n12j6tz9Ok7V9AXBYvr0wQiy29P7lADDNNjIjYC1atBj7/A3AuldKcS7Fna/2Pw1Auek26Nfuslqs\nomAUaGdK81hVLtVzwWtfIgDXK9qT7KIhPlxNKR9t922Oz9Vp1KSZwWS0+GKqPn4A/r/HYjh0pCBD\nL/Yu9qvDrncmAdDmaEsAjB2SKROzGaM1AysB9P7lOPyuHyfaTTOfa9S7F/a/yRfOg9K5uBDbtgqX\nGycDEP30dLqfbsKpsY8C4LRomzXDK7ZST5xixY1qPOp4GoB/vRpgiIm1clQlgEZDfKubDHQ/av5c\nvWBI5MXIbsSv9QVg/+Cx1EgYSvCofQAcGWpPzcBoEn50BZD/B1Eo4n5wBmBR+bkATL0Wzs748gCc\nHh/G1XAta3p+BYCH1tY6QRZDOh9vTLPVu39p6PIsjzd2uAkON+nWUK1L21Jbx4c9e6D/WzpUJUnB\ndKa0arTjZDtnDr46kTk3ygDQyOEE5fQZI6J3a9QbM+XwZv559+CJ1DQNpOyh/A25pNA6OQHwRr8F\nXDcm0fVYB0yt4gHJe34QGhv15RL7ci0+HvE9zRwSMWSa1hv5zUy+jH0JAKOdDpttURgTEqwRarGj\nc1ONytjWlana7wBL/SdkelTLzPJrODZmJQDtO/bCY4kTbjsvAWA4drKwwy3WnnFQr8nxIeXQSCP+\ngWnt7DjQ4AdWJjjz0RevAFDqfCpOK3fgxAkADINNrOs8mjfqtwFglf9EBnbqCzH7rRZ3sVJHrT05\nPkTHz/VmUttO7bM55VpFfhzbAs+ZW6wZXbER5Jrxfp96LZw1Xeti3HcYgFJspRTwb1d/AFo7XbJG\niMWPRoPXsiRmBKy1OP3otwOZ8ZoazH7MznI9Wl27FM68nkrFvwstymJH6+iI1tWFw8NVZ99koxpb\nLmVusK+OGgyIMyTwUsNOpJ4+Y7U4M5M1U0IIIYQQQgiRBwUyM6X39gLg4KuqZ97V+ULaI/fO0z+b\nmsgXl5oxye/fHK/ZPWQirUbXeuA4S6KoSeEAdHPZxCPbelK2XaSVIyoZjs6qAkB048kAzLxejnHz\n2gLQ8fkNjPQ6wJMLM8rLNj7YHofmMmtyNzoXF2LaVeGRvgcA7piRshRsoz6q9jX4HhrAhkRHAPr+\n1oOKy5PRb1FT1abbtws46uJr5YUqvOmh0qOPd3QgWAb0H5jNn24cSk7lm/4v4rk65xvqo3NgTsXV\nALx86jnYKrNSuXHiqwjWdh4NQBmdA0aMGNPGgHu5HaPNB6Npb3oLAI/v5QV9N9v/qQRArSB/DMdK\nUXFf1vtlozGk/anDRqMDTaGGWGykrz+7c1bqcLKRQUMG4r98Mx99UjP7J9erRkWjLLbIji4kEIBL\nY/VsrTnX4rGJcSHM+vEZHtnUDwD3o6k4nLZcWqELC+bYKJWdZbPfqVC3/SmQzpQhNg6ASvP682Gr\nhVSxPQ9AFVv11713WXWEtg+vDUBM71t4TVM3QJtsxO6/qzwd3Mf8+4ZP+sFcwlPkTFcphM1NxgNw\nPAV8x9pZOaKS4cQXEfz7xOi0I0dq7uiKX8/LBMSoN+r2sR5M2VqRfm7SeboXrb09sZ1qAPBov/0s\nLZdzByrdz9f9+Tc+BICe3ht4zM5Ao7R0tciOE6EjhC/vD0DYoN2yoD8HxineoMYC6NJ4EztyWHwu\ncm9SxUXcMOqwO3/TIm1dWy2coJnq88BeY/k1u/1YBUK4WohRFh/pC/kPv+3HkeenoGU3U66pgayx\nW5oRsFyL0/FrAIxcMZfado7EVld33sM6IRcbFd+9e2fz4tD61LVXg9gpprQ1U1KhKlvGsqUBmBHw\ng8X5cvpUzj6twcepHu4r1EC24fp1yyfLQEq2dO7uVF+givh86L0HgLcu1gXg3ym18d4SS9nIrJ2j\nlKaqP3HmaVtq1I/mUMX5AIQm9SqMsM0KpDNlSlGLx4OGbWX2MH8S2nUA4HwjDS0b7uKvZaoT5b9K\n3ZiyqyyfbwBsM62FuGZ0BKQzdS+hP5/EW6dG7EOW9SVkoyzWf1CxPSLY0nUM7lp1Xwefj6Bc/3hS\nM603Md64wdqYcIvO1JnzHoQinavMNDa2HJlWmcNN792BStfsUHsc+2nMa6M+rv0KR/rZsuhJVbym\nqq0aOo1qo3oJNc8Mlk2ocxBTRYq35rcPzz/DVP8NhP14jMOZkiUqz4rmC98daUdqJmVinBoQCOt3\nRIoAZUPvX45Hf/0PgGXey5l8LYgVA57CdpdqYIVe3wl1HiGqr9onsYadkScOdCL8PbXux5D9rxW5\ndNPfKIUnckl78iwAjYcNpNvI3+jgrPaRctbacrjtJLRttXQf0ASA4xPryb5+96BzceHcLF+We/8F\nwLpEe977uCcec9RnqGfqlizvb11IIIapyawMnwqANu1zdn+yujJsUlKhjgXImikhhBBCCCGEyINC\nGap0XKpmSIKXQmTjmpTfqdZI5DQ6p68QwO2Kat3ViQ42NHPYDGSkrC2+6VWQ4RZPWh0ve2zGmJa6\nEzQv2coBFW96v7IArBo1BnetA8Mu1gHg5HNupF5Uaato1KzIqU/qsSdoPJnfTj5/2RRqvMXBE7vi\nWe457a7XVFo6gKCFGa9duw17LEakTDsOENodBnYeBMCUz8dTyTZjTGhyz6l8/nm1fI27pLC/Kjk7\n+e3CMzpSDhr40ncLNRe/CsDASuvp7nqK9LHKGEMinfu/geN6NYNivHXDOsEWcdFferHMW5WWrrXj\nJcq0PYyO3Rbv/3ONnTn6vFqLbURL/DpfSl0/YYVoS74Gezvj+ZdaiyozqZYM11SFZOd5W1k6rzRT\nB6lKnckuULNFJLPKr2Vm+TUAHP7sT9o164/nFtUm8Jwha/vuZAosx87aP5mPPxz+Gu4Lt2SZWdL7\nl8Pwozrby381LR3jqbtLVVFOTtWzp+5sXvhHLREK2bW7UGI3x1aofxuQ7KrHVpd1Qiy5+WMAnHpe\nw+PVjjAzYGmmRy3X/nw5vgveSCpPZrE96lDddgeVflRrRypuzPkNm95RiK/nz5WOiej3lQKgwvfH\nSb0oJVEBzrWvAIC7VhVN2fGlen2WupgxXR/XrR4Aka9ORva/vre3PCPpdLwF52+qUugbHrVcYNrk\nQCcqjT6fq1KnzvPU/8NL5Yeya9B48/kIeylAkRPXEynWDqHEMVyLp+qSgRxpP4W99WZnekTLBYPa\nX7Fb76HYr9wuDdJ7eCLwGMa0u1Sm7eFsr7kVkowxrYllxEj5OaeRFZIPTl/Oj5eabLQ45zjFDeOt\no1aKqHjxmZDRHr3yCTRp2xddf9WWWl15CdHNp9Gr8pMAHEqOwP1H6VDdzQ1/HaUyHSe1qsPZp7TM\najuViLRS81OvBfLY5G6Unao6Tb7rbZgYF0JYP1VkqbA/bwu1BZj8TG2MOg2tN6sc6HC7C+bHfHTq\nxRhsk33RhOnxFQBY0bEBvqcPyBfTHa6FqS8Yt3vsZXz72doEfaRmBieWXaFONlR/1L3cH8/vpDMF\nEF8p4yt6VaIjzkvVGzZ9pCSxbR1WfDIm7ciBZbfcaOukFkbfNqVie0teoXdq2/B5Ikd4s6H5uLQz\n6r3e9cSzAJRqc47U+6zG5z9pH4te86VDqYv5GWqJdOZp6fAXhOB5SdDe8tycG2X4/l1V7dNhpWzm\nnRvT/f8hbL1aNB7EniyPH51Yl+hnp6BNKzG367aW1LPnCjXG4iqpVR3sV2R9HV4cWh+AnW9OTDuj\nMlv6nGmE3e87slwvcsdh2XZ0f7sA8HT9Pti+dYEV4WrW9exHK3k26C0C56l114bIaKvFWVQY9x+h\n6qwB7O+u1lNvfmMsV4dktMFctVuw1+hZdNOXz154BgDN4ZP4JmzGZoPaHH26/+98cLmG1fZTLZRv\n12vdIgD4/qOxhNrktMAx58pzs6/78eurT6qDgwfyN7gS4rGIHN6QGg0JbVWK2qgx3/GE/S7zl9FN\n023ijQb80opWXKtkwrNQoi36PnlqsfnnFJPeXFRFV7o0UR8E8v2zM3DX2gMQ/GsfKo++TNuNSwDY\nctsBh2XSgLpTXJ0y7Hjma5y1Ge/1ejtfxmeU+gI33Y65798Z06ka7ZzWkV7Dd8DZJwHZnPpeTtzy\nAuKsHUaxp6sUwpURiVwyJBJjUGk8VWz1fPJbe4KWyejz/TBi4seImQB8uaEFJ/5QZZIDW6g0viPB\nU9JmrlRmS/cfBxIgGSrZ0vl4E/eDM6A26+3p8x3fjXjC/PiWExUJ+zyBJA81PJhislzev3NuNXzl\n3j6Q9Cp+tqt2wCoI/6knAJFPTWdfjwlMfj4MgD+rulgtxiLDaKDCe1tocFql7z8/8G/qO2XMig46\n0AnNOnd8x28G0rZBSXvspyCVxZZi0rFmQgM8sM7nrhSgEEIIIYQQQog8KJSZqdhH1J85z0rd3aIu\nT8FemZG6X/ry/kS+U4Zjbb7NdFZD2PoeAPjP1nG6i4mjzWYA4HZYduhLN2pZRwA6vzSZ5xyv0/Ss\nWqOjRYudRs9HMY8wclgDAEKXbcdUurTVYi0uNo+bSorJ3nycYjLgOMcN0577LxureawqAF+/963a\nXDLN35seIRgpQ5sdj/CMcv47NoYTaKURvJKk9eLNRCWW4dVug7garmZct70/iZoR0dxwVDP+xoQE\na4ZYbHxwuQZ9PNVsyNLgPzAOMqFFw5RrFQGotKEHhxvN5PcEteYycKasl8rJkXcCOfBIxhYUNhod\ndQJWZ1wQADyJ+bMzRWrTFLjA6erPSqbeHG4yjf7uak3Gn9S2YlRFS3pxjg0zHNhARiGpMmS/hjJ9\n/T/A6kQPPGZZ7zutUDpTwQtuAlD/8AD0L1xmSZUf1fGaIXhtssFoAyv+N9riObq0SmnuWnuiBjoS\n2qMwIi3+rjyuFpmbdBGktonj2GNTLR4P+asnoT0Pmo+r/8+1UOMrLoIWqdcsqlAMDpqMgYAp1yqy\ns3Vglt230/nrr6OrHCq50HdIMRkwYiTJpJpANRcMJXjB/Xd8tPb2HBmo/j/q2qVgBHqcbgZAyPA9\nss9kDtoH7DX//MSTBzhrxViKM221cKKGqOXRF1K2sP2rx3BevxXf3Spd58M+1ZlTcTWNW/QDwGmR\n7PeXG7tqaOlVuy8Ax4aoponzFgfKzE77vpqqik68f7A1AGXPRlolzqIu5rdQFlcdz+EU1YYaff4Z\ntJgwpqVCP+e1j3ZOF+72K7gRYsC3wCN9uGg3qnWAISnVWF7Pi3ZOsnH3g4r8wA/HtLbZ0PVdCMV6\n6/wKpTNl2qFmlTx2AN/Dq2kVD0LZab7m1WkNLZ9UT/VKVyyexQcNfmVuPbXoTHaPzl70z2FcH7GC\nY8+mDX88m/Wa3xJcCO2xH1OqaszqqoSxMGhu1gsFmkiVp1/zqwEEtT+Kp50aXf5rb2Uqf3Yxa8U5\nbcasXqiNE1dreOAq3/XZmn8jCIDgN/LQkXJ0JGpyJaKaWg4SnPwmHIBSt2VWKjc2r6wm603y6GJD\nD6KbqwX74Qv7EzxfvebS10j8Ma0hH7y3l3PNVRGa0EXWibM4Sm8rBHXNOHd2WSUAjtT+np5nnqJs\nO/lgvZtKnpcJtdHw2mnVZoprYNloHzn2Bdp1vPvG6QfbTuQx39cI+EIdm3YevOv1Ivf0566y42Yg\nbZzUGuHjY+oR9KZ8b90vXVgwK56eAKjOlONJ625HI2umhBBCCCGEECIPimytXF3UaQBqbn+Z3XV+\nIun7tQD82iAUQ5xUobpT6W+38MytYcTUzEhysve/wf56P5FoUpXovhncBbvUjGnQqH5uAMy54a1+\nx/yDUnI+TXp5Td/xm7k1PqM+XCg7ss/TN2bcd4NJ7uLdeOpUCqXOpyqGS5dz9Rx9YAUA7H64RVSQ\n5axUjSmDKf/7PkA2l8yJvrw/TUstJv0jv/yv8ZIOmQemiEcZM2waN42qhH/Yx9EY7rhGL0uk8lWr\n8ukbx5o4Mq4KzrImMltJrVTV3p4+32Gj0dHA7TgA+7eVY4b/pkwV+3aRXgI983rTO0XW/5mtC9Rz\nek8ciN8Ph6XtdSeNhvPDIvDdqt702n/35nipzke1s0yzjXzik7FEwOAhK//y4tyz3oTa2Jr386vw\n/XGrrqEssp0pjZMTAGFeqrHVw/U/AH7VV7ZaTEWd2+wtuGXaNzKxbR2oB9WWDgYg5A+Vu3+lrypV\nv7/NOHYl65jfRH0IG2+cL9yAS5KUZDbdVhO9DeyM3CynRVajWaq3uwuba86hlZMqhDBznh79i76k\nXrj7HlFnh9enVmuVZjIjQA2qHExWXYFOm3sTOvEgBivtLVFcRA4vQ3VbPWsS1SbU2vNXsnQCxL15\njfmPJ+yTCVs6FICQ2KzroVKcNZxNTUQXn3NDVeTO0Yl1WeE9BYDQlb0JnS8dqZyk7yP13YgnqBOw\nmh6uaaWlXY+SYtJlLX+ebEu/vSqf0uNHJ860MjGt8Q8ANLRXn6fVbNVztgz7hpoRPQjsrZ4rnaoM\nO4eOp3VUO3XQJOfrvJYlARnfYeLB3Kih7ueTvw4DIOSiddem5ntnSle6NIagMuZjbVIqxr33n+N8\nrb4/AMsCp+RbbA+b8x3VjJRnRfXBd+rjCHzqXGRVZbXZ7LEUPe/06YvtuZ05/g6RO4Zr8bwd1QGA\nrdUX4fHUBfjSykEVMaVH2rB0njftSqkBkqWhy5mwJpyom+rzYuf8ajheMnKpLtR5TBXvcNbfZqjn\nTBo73DT/noPJJjouU/tRBA/dKp2CXOgWsQmdRsv082qvmdzOCApF56KKS/g5XGPAuYaEj1DVpbJ7\n7dXptocW2/vKOogHVecRjjyfvrcUBCyXVQm5sevPyvD66rtes+hmWX56/Tn8NmZsjhy6HL6p8jwA\n/8yJ5IPSlrMsu+vPJKLbEIC0/X4EqAq/6RvyPtGlPy5zLd/3ca9GEN77ELPL/wNAikm9jnv81xiA\n0Nek/XU/rr2sJgOONJ0EQNjbap2ltbNS5NNJCCGEEEIIIfIg32emLnQKYfvwiebjwykptP1VpZlV\nGn2O1DN3L8h7/s363Aow8H3LGRbnn45UIyb2CTH5HHHJ5bDXERrB1hrz1Ika6o9dyar6yYjXemO7\nTkZF8pusmcqeac8hPpvWBUPv+QB0KHWRQe5R4B6lLnhzXZbnaNGaR6YBDicbGfjuYHMFNZF7BpOR\n/dtVJcUgrlg5muLlcqcqACz3mUTYsn6EXLdMKdG5uRI1Qd3b0d5T+GvTo4UeY0lyvUs9/hkzGS0a\n6nyu2g/ev8lsSG6U/2wntUxDeLR5lPmcFhNH49ReiKXfBk1CEtpTe7I813BI7X20p6U/ddo9zqxh\n4wAItZE9KHPyTVyo+h4DPvh4FudGuvPdx22pNVTd32HeoymrtzPPSBkx0jqqHbrOt60Wc3F2pUmy\n+eeuJ5/GmHTNitFkyPfOVINXdlkcV7Kx4Uh7laq3uoUTt4x2Fo9PeqsTaGDAV6qB9bj9v3jpHCyu\nqbOzK2VeU2kpsjYi9/zWxhNW/TXqVTgFwJYTFXHZ6kCZtaohpTu824rRlTzG+erLSlddy29VfqFL\nlVeBjC8oAWXGbuanjS0AmPbJTdZUXXDP5ww735Dfd6nGaaVxV3E+Ih0pUXh07u7U750x6OS+P1NC\nR51HiH20FLfKajjSRA0iVt7Qh9CRh6yedlKcVR58ECNG6nw+2LzPlKTz5o4pJZmAjzYT95HleQ9U\nl1Iz7wAAIABJREFUun9u7mPqufN4TzpPd9TawE3vfsPUa+GUXa9+h7y205hMrOtYi4S5ql37rtc+\ncLhJt9GTMw0CqsdmX/cDYNLk5ym77DSpV2RA637p3N15pUbGxrwXvg7G0Vg09vHL987Uph9rwfDs\nR5CedrhFRl00pd2Ub++4SnWk/klSsyeDZvam/LQoDLGywdn9Mu06RNCLmMegg1EjJfKlVDBKrz4J\nwNYPDNS2s+PYyx4AVHzXmlEVPel7yTi2tuP5Mu051lN9ySSXSclybeVPrmCKjSP0ulpcLa/dvFmw\npBHuHW8RuDjR2qEUOxqXUtR3zlg/smDEaDYNrQBANbttVLHVczglhUrz1HqSkJEHzNVAxf058ZVa\nD/FnwLd0/+8pvCdtlve8FXlPUm25dpPqpJ05bL1giihDZDTbulQFYPKCJPq7Zx08bbinKx6t1Dpg\nbzZbtepccXarQQgjvP4CoNPxZyj154Ei07GXNVNCCCGEEEIIkQf5PjPl+91u2qxSVc0M09RIc7sy\nakYkvbz5nd67XIu9V8tZnDO97wlAuc0yMiWKh/QS311/7U/0C1N4s42q8LP4XW9rhlVkmW7fJvXU\nf1R4L/vPBUBG8PJJwIebWfmhGxr2WTuUYif19Bl+6KxSU23m/0ZrJwhwvgTAgHNPcnDMo7j+fZSg\nGJV+WlRGSoub2B4RrO08GoCtSQ6cGR6CDklFF0WfIVLNOv1Z1YU/qZ3lcQ+iCzukEu/wJV/Khxlh\nX9raQKN1ewr53pkyJiXBMZXulF5zf0n9pgBMq+6U7XPKrL0MR45ZnNNw90IVQhRVIT/eoFOtp7mZ\nkr4+8JxV4xFCPBjTHrVx7PTQQKZbPJJIKaQ8f36Ib5JImbT10gNOtkS3TjpSQojsLa8zlWtLbBkZ\n3hAA0+0S1pnKjmazGg31zqEYj3wRiZLEtOcQNx63dhRCCFF8mIDJ11RFRENX2fBYCGHJ4c+91Nrx\nEgA3zjvjuVuHZ3LRKEgla6aEEEIIIYQQIg8KZWZKCCGEECInQS/uZSVuaUeSGi2EsGRKSaZMW1VR\nsoyVY7mTxmQyWTsGIYQQQgghhCh2JM1PCCGEEEIIIfJAOlNCCCGEEEIIkQfSmRJCCCGEEEKIPJDO\nlBBCCCGEEELkgXSmhBBCCCGEECIPpDMlhBBCCCGEEHnwwPtMNdO+UORqq68xLtRYO4b8IPe2YMh9\nLThybwuG3NeCI/e2YMh9LThybwuO3NuCUdLvq8xMlXCXB9Sn/9Fo+h+NRlOjirXDEUIIIYQQosSQ\nzpQQQgghhBBC5MEDp/mJou1ajWROJ5cGQHsjAYOV4xFCCCGEEKKkkM5UCRY9pQ6Hmk/CUWsLwLwa\nz1Dq2EkrRyWEEEIIIUTJIJ2pEkoXFsyh1qoj1XD/8wC4bTxFqpXjEuJu9OX90c1OYWHwb+oYHal3\nzKc+8e4g3H7aYo3wirWLg+tzI1jdy5CB26wcjRCiIFwaWB9NpqX+gwcs4mXnixbXhKztydEm31Fz\n9AAAtGkNA12ieqLnTPl8za3zb9fn/Z5zABi1/zmMh1xAYyJwXBQAhrg4a4YnComsmRJCCCGEEEKI\nPCjUmSlT/UcJnxDJxh9qA1Bm9kEM168XZgglns7FBYC2yzbjqLXlv9SbOI10AiD14glrhiZEtmJ6\nRZh/1raOZV3QQlLSR1Y1kGKynJla+/k4nk4ZAoDzvK2YIh4l9hFHAHyWRGOIiS2UuIubTW+NNf/c\n4Y0nMKUkWzGakkfn5grA4S9DGdxwDf3djgPw6JZXcFjjjNc0Ge0XBW/Xu5MwYlmF2njHNUeazMAI\n7HxrosX5OGMSAN26drQ4rxnijHF/VH6HWizdfrY2V3vfBODzqktpaL8Fe41qSreJmAURoEXLuhft\nAXhzyuuUGbvZavGKwlGonSnDR3GMK7MNhqsUk9vvptLy8AtcveWI5m93AHy23oDtBwozrJJDqwMf\nLwB6uf4DQPNtfQmQ+ymKqDP/q8+efuOBrJ2mu2n33hoA/prnzPEXHNjXcRwA1er3J+RV6UzlxEGj\n1k9e6P8Yvt/IF3x+0FYL52JDD559/V8AlntPxYjR3IDdk9bAanRzIACuc7ZaKVLxMHp8XycuX3a9\n6zWj6i2ni/Ml3LWqA/Bb2K8Wjy9Y6M2nsztRftxeAIwJCQUTbBF37eUIJn40gUfVxyhatBgzNaMX\n3fSlQymVUtnIQd2j+YPG8PrpoTgtltTqkqxQO1MnTvhwPSwJl7Q3rJ1Gz1+Vl6oH1WQVt02pjL1a\njblHawHg+ZMTDsu2F2aYxdaZ4XWJ7D/FfDzofG0q9jknFfzuU2qTWqyaPR2AVn61rBxNyXX6owgW\ndBsL6PLtd+5vOpn21Mu33ydEdgxP1gSg1IfnGBHwk7lxBfDCsVYcWRuEPlEdd3l5LcM8D1LvjZ0A\nHJ5T2NGKh0mTnr0t1kx57DiOa+yxuz7nl8eeYZaXg8W5Mu8f412/lQB0LHWZjv0m0mb6M+rBh7Qz\nVXvQbov3+soEZ/437VXs4tUN99p5nXGPuXC1QTJ7mk4CINDGhlL9z6Jd7wGAIfZqocf9sDj9UQSL\nu6kMjFZrBxI2JRHTrkOF8nfLmikhhBBCCCGEyINCnZkK7bWDNm2GcLmrGrKz2e4MgEvTi8ytPBsA\nP50jwz0jGe4ZCcDemqmM3Naa1AsXs/+lAgB9YAVe6bzG4tzmaY/hGSt5+vfNhDlJJ7ZHhFQ2ymdn\n/lcfgAXdxhKYwydQ03fUmijXo7eyPNbxxzX8/WLaVDaSxy8K18Uh9Zk2SK01qWGnPieeiewAX3sD\nYLtqBwFcMl+/6acKNN1ykA99NgLQ/KWhuP4sqX65obW3R+upRvQPj/AHwLa0mhWJavgTAFOv+QHw\n3djWeH4nn9V2K3dYHOcmM8W08yC2d5yLXQVtJwwG4Ej7KVmf9BAxNqoBQCv3XwBocqATAE7PnKAs\nGenSJsBzD3jOgA1HPQFo7hjP8rBlVB+o7mXAKEmvvl+3OtQl0UPN/XhNt3yP335WtQVu+Os50GOS\nOe1ybuNpDF/YJ8vruqAUeml0h+XbKb/8jpNjoI9XGwA0ej0Rq0+bO1PVbfVcjyiP4xLpTGVHFxII\nQNUFJ3jH8yj/paqFkX2adMPzmHxh54lG5UID7Pz4Wya+UZ4V3Z9Qj+Vy/VlsjwiuVlcNrfD/HZZC\nK2l0pUuTFKYWOYfZqPQ+fVqa37HUVDpOG0a5zzfjSs6v3QWVfLHoRGnARpN/qYJC3M3bfedTy079\n3CLqeQxf+mC3bj+mlNPZXp9S0Rc3bTLxRpUKVOqcFP64F52LC4e/COe5OnuYUPYPAAwmyzIKhrRU\nttddzwDwzdM38fyuUMMs0bTOzui9E60dRpFwNVwtTdFipFXnXjht3HPP57x3SLVpn639c4HGVpJo\nalUBIMnbkWof78VoUu2wQd5jWXMrnP03y3FKrcBA71eWC63LM/XtCQBp6ZcZyXa997+E7yrLgYWC\nVHT2mSqtRp8i33RlvsdySOtP3jTdxu5qihUDK9piI3wA+NJnCQDTr6rKaIajUrkvzzLNTE2MC6SX\n2zHaLFJ5t1Nj6zN3Vx0Clmux/81yLV9sD3Xvk5+7xoqaoymjUznozy55Hd263YX4DyiadKVLc/jT\nChx4So3qp1fsq7+nKwAJO70I+DwPo3am+yteIcSD0GE0d951GiOpGkCryXKd1lFVmPzvzVQq6u2p\nv6cLAB7yWZAtXWgQMRFqdq9G/7385jc17RHVQLptSmXBzXLm63318TRzkMZ+QTnyaWWOPP5wz0il\n8/7lIADj/2iO9sy9O1IANn+4AWCsfWctRZEdraMjqV+pQec/w39Ai5azqer9vft2WX76tCWuc7Zy\naaDKbKnfbTdLyt45MwODzqmB73L94wt1X1VZMyWEEEIIIYQQeWD1mSmdmyuHx4bwd5NvAAjQOwK2\nbExSob3/Zl8c10tJyZy4vHLW/HO8MZFVkxsC4Enuc8d1Pmo0MLlSOWwPncFw5Ur+BlncZErzu5Ds\nSmu/2px7p775YeeIOH6aPAO/qWrk+YkDHfjnkUUY2QXA7wmu7Egqi06jRqTsjl4q1BGSoio1uCwH\nWkzMct7ruei0n6KzPCZEUfPBws60764qdS0PWwbfQ5PBA3BaZPk9dfG16gDsrjeeLbdt8PjEvtBj\nLerS90U8/GU4i56ZRHXbrE2SGINaN9lyxJu4/bTF/Jyzr1dlzxuTzNclX3EshIgfDrpKIYx8eqn5\neMC5hmz7qQY+sQ9nW8x444bFn3lRo9lhAGJH5UdEJU/UmKpEhU82H3c/3YRjk8MBtZ1E4hAtl6bX\nJrqlakMYs+yepuy8pNZWep0r3PaE1TtTcXO9OFZtOqA+COOMiTy1qyd+o1TahOPeh/PNmxsJ7eoy\nO/jrtKNSrLxVFs8Z97cAN7ZnBHV6q2nrKX7fU29vBzwGlQLAcOxkfoZbfJiyvlH9vrRMP+tVuy+p\npWwAcADCevbA+1e1kMJ90xlOdy3Phz0kVzoz+y8uZTlXe/obBJD3Bbm3n61Nn6fX3PtCIfJJ0Nyr\ndH+qCQAzy6vXnvegEyScVPn+pl2HOPl5BD93Hm9+zqg+PbHZurPwgy3CtM7OHJ9RAYBjDaeSuTny\ne0Ip/r5emeXbalJ2vRrYclugvtti2qn7nN6R6nVGpfWEDz8s24A8oFOfqlT1Vs9so6vzBfP5M90D\n8DkkhRNyS+fpQZKnZervnjWVAB7o+66kiukdQXSbSWROlrvwXhDXGqnjS98/RnRz1YlKT7EOXt+D\n0E8SiBmt1gtsqj4PG42OpC1eab/hIetMDQ782+K49ZvDKDN/aw59TpGZbf8LVLQpZT4evrE9oeTi\nC1uj3uTxXeuyftQ4SmkzRky3Vl/ErjVqgfSIinXyN+BiQv/3Lj68rPaX8rOLY69LxSwFJEw7Dljs\njhS0LuNnNQtVnl23Kqjjs+cKMtxiY2Hwb+Z1UqA6UhXG7H2g9/oNfz193QpnHwkhAAyHjnC1TWkA\nWsxtzx+VFjM36A9af9UOgJNXqrGg7jdcNKgZlEdmv0bgul2YcvyND6/k62oA6rnoVlxcUB7nM6o7\n5HQyHtPx04QmWa5LTWxbh29HpXdS9dTc0ZUyn6pmjOm6bE6fVxq9nujvHuVgU3VvbTQ6upxozsmf\nQwDwipRiVrkV92oE4b0PsTRg/L0vFoBak1alcXcOPD7TfG7C95MItsnoogw49wQ7L/nj84ZqYQWf\nPIghNRVQr1EjRqZeC6DCLFUvoLCzgazemRq5uzXNG35r3si348hV/Fi6BWVmqwV/UgUtZ18HLQTs\nzMeeW2xy9bz4rnUB2PrVVEBST7KzcHUDACJfmsTSWs3uu4BEYAspAHInPTrINFjndN6E8UE3f7yj\nkt/P1/0f7PeVUNe6ReCg2U2iSQ2UlFt4SlJPH0B6KrRdn4os/d2bdqUu82u4SovShmsxouX5Rd0B\nCBm+RTpS2TDeuEHo66ralgEozXnzY9nNMGmdnQl4O9qcClhzR1f8ul/EEBdXCNGWTFpntT3N0ZFV\nOdJsEukbqCeYkokf4Y/XRik1fz90YcFs+nQSNhodKSbLkgT7X1czK0329sVh2fbsnv7QMt64QXD/\ns1T+phcATcOimOT3LyMuPQbA6v/CKdc/Hq9z0RafDddejmBS5Qnm4/Hz2hBwwTozf1KAQgghhBBC\nCCHywOozUxW77KPDUwP5fKYqgzrQ7QQDh0+i3Qst1AV9fDAcPmrFCEuW2J4RrB81Lu3InvB/X6b0\nPLVe7d2vfqSlYxLvnmgPgJYzVorS+uyuqikULRpO9TRZpPHlRlWX8/e+6CGTisGihHnsYwa8l3li\niIm979+lK63SrK7WSrX4nQteaQZIus+d0vP3DWlzJKnn5PWZHwzHTjL7+acp/esinrBXs342Gh0V\nV/UmdLCkRuUHnZsrAK9u30t7pzgmXlN7K/p1OyeZK3mkC67ImbZl+HeIWnPtqFkPQKsotTdSzHyZ\nlcoL4/FTVNrQg8ONZuZYIGHW+LEM2teV1JPZ70v3sDLEXiX45asAnAIiXh9A6XkqQ833xuEsmRQ6\nFxeavLEpbX8pJeAj661Hs3pnCtQaldfTdtoe1nsBXZ0vszRYbdRXuWt/Ar+8+EBVVEqqsRebMbv8\nP+bjuKomPO9yvSniUZaNHE0pbcY6q8C+57j8fBgALR2TOJlyk6TJZQFwfIg7U56R6q1rzEOCjt6/\nHLWc/mHUoVYAlCUyX2MrKQ60mkD771+HPHSmUoPVazS76oAiK88DtzFiwl6Ttr4k4lE0W/ZZOaqS\n4Xq4G57aBIxpiR4pJnDdY3uPZ4ncuvGUqujV3mkd0SlJLHu7GQB21wtvQ86SQGOnlgScfL8mnZ/7\nh+Vei0jfz/NQciqv7HuVcn1UY9bronSk8sKUmkroJwk8PbsPmDLaDue6J5vXAwXoHbhV2Rs76Uzd\nleeMLXddT32pcxU+8M5I8WtyoBNOWG95RZHoTAH4jlM9yjlbWhD17V4+9t4LQGT3ydT5rz9e0+XN\nfafoSZW5/MVKALx1TuzsMJZ6N4cBUOH9rPfrahVHyukzOlKdTz7F0bfDeL/NQvO5VlPfptwSqTaT\nviFvjcoD8Yu8v9UlSSE+tHaK481YKdV7L7ovYzE0vv/nZVcZUOTM5q9d3DalmEv+668nSeWzfHCr\nfV3GjplEJVvJmC8It1vWZuUEtZD/nCGVfn2GYrdKOlH3Q1e6NMcHB5PsmwJA9LMZ5eRnxgcAsKRn\nU3w375N1lPnAEBmN7R3jp8FbXGixRGX8rKq0lCHfzGXC7U6A+mwWeaNFy8nUJPXzVC+wYmdKvgGE\nEEIIIYQQIg+KzMyU2db97H0hiJChar+Do22/5ecRX/PGz00BHrz6VwniOmcrj1d+E4Aj3b/FXefI\nnu5qFK9Dw7ZZrv+uwjdkrv43r+LfUDGjNP2LJxtT4ZczMjqVyZ37S+WG3cUbbL+twemopPpk9sS7\ng1j7+TiLcwtCltCeevf1e1L/CuDX4MUA5lLrtae/AUCFgw9War2kiumlqvndNN0GVHlvkXd6P5Vm\nOmnMBJmVKiAJ7eqycmJGeenu3Qdju1ZmpXJDo9dz+n9qa5PXX1jFcvdVFo/PjA9g/Pw2VFis0vo0\nByXlN6+MjWpwrKtqSutu6AgalnWtpOH6dVImqXRVJsOzjnGs/ExNX536q9BCLVE6D1qNESO9o18E\nsHqFxKLXmQI0txLJvFTFU2fi1tNVAevfsKImaLYq0Rts34f5z0+gvF5N5f8R9kc2V9tlORNjuMWQ\nMy0BiO/sROqZh3edVH4xREbze3x1Wnf+F4BdX0pjC8DjQDx/JXrxrKNlKeOuUWcB+Ll7S/M53T5V\ndMaYkICudGnzGin7Ly7xa/Bi7DQZ2wBUmTeQoLSFp9KRyl6qk+beF4lcSWlaC93/1IamlWy1NNzT\nFfdPHfhgziwA6thJIfQHpXNxYfTXU3DQ2FJ9+0sAlF0r6VC5YWxUg2Mv6olulf160ueOtEbbPoGA\nuM3yeZkPhsycy9MOtwCIGDUgx+vS26693n2S6f7r0WnkcyIvTn6hJlpecR0D2HJjgWobeGLdNWhF\nojOlK12aW/UqAnCxro5VL48mQK/Wmxgx0WjmWwQsk3U82TEcOQZA0LBjjBhWh7hX1Att++ff3vO5\nnU8+xZnxoZRakD6Scq2gwhQC495IPh79Mk1HWs5OdXJWDdPnF04zn6s9Q800OV40cbVWqkWhicwb\n/y6/5YXbYeko3IvNDXXTdGkbfem88lZFUYDN8EvmwaofrvtR+h0N55s4mTtRRozok6ShlBcpTdVm\n6RU+i6S2nYYWUa0p204K+NyPE23tiG41OcfHv6i4hL7PDsbuWu5XTTpsiIQgfxLLOZvP2f0hs4QA\nBpPWXLlvyogJdG7QB/fNtjifUTk+divVfTI2qgHAtrMpGP2NGEzyvZUXh15Wa/6M2PJdfCDeGy4D\n2e9NV5hkyFwIIYQQQggh8qDQZ6Y0NrZoXdXoxoVOYTi3vsAvlX6ijC5z5TNHc25/jaVDCBkls1K5\n5f6jquLX/Mfqubj6KqWQvVDym87NlTK2p7iQ7GrtUIocr/236Hla7SH3XfnsUlGVHa+PBUjbST7r\nmFOVeQMBcDuswfM7qfR5L57fbSFxVDIOGrWO79xLYfh+I5+r9+vqaxEsDRnN4WQ1Djm/w1MYD0WR\n1CnCPDr9zdXKeM6Q12RexA9WW6BM8dvEjtsmDB97o+OslaMqXo53mmoxe3+nKrZ6/hmd88xVdmps\n68bLIdt5wyPKfK6VX628hliivPftqxx8dS0AwzwPcrjZVLTNtOxSTVh+jq0PQCv3XwBo4pAg6ZV5\nFPdqBJCR7jt+WSsqRheNz9pC7Uz9N6o+zZ/bzte+awDQadZiMBmBjI5UdEoSbeYNo+KSmwCEbN9W\nmCEK8cBu1wyml9tffHhZvmyy2LqfHdvSCk7cpTOVk0dWDMJzp44g6UDliU4jyQgPos2QdZTW2XHV\nqDr48VXcuDKiOr83UPn7ABs61wSkwMf9iu0RwYJqowHYdLsUH77eA/16WSd1v+q91QfX1+7eAf0p\ndD7uWvtc/849dWdbHH8SUy1PsZVEZcZuZtP8IADmdmnCqF4/E2J7mRp2OgBqlP33jmdo+SvRma1z\nVdqfLzKolVtXGqRio1H3deq1AIJ/jrV6el+6QulMXe2u1vFs7jGGfcmluGBQFfk8tLb0OdOUIMcY\nfl7VCIDAxTepuF0aSqL4SvCxQYuWubtUNaVQdlo5oqIlfJz6om8/73U6/riGl1xyLnry83V/FrzS\nzHxc6cRxWeuTR9WWDubo8/deSynurZKNKoCybmz6Wj5bJsSpal1SKfH+6cv48tIbKzmT6gLAR31f\nw2atfG7mheucrTDn7te0fO1NUu0z1uw07bmFz3xyvt/Vpg3EPibjuMyGWGTAIEPqufMAlB1znulj\nAjE07sDYWVMACLPRWVzb/XQTrrbU4Bsnnaj7ZsKcqTLjeAO8IqOtHFAGGaYUQgghhBBCiDwolJmp\n68+ospGPT3oTvy83Y2yo1vPY7D+B4fp1LmFLIDIbJUqGK88lYcQo+0zlIPVMWgrKmbMsqOTLAnzv\n8YwD5p+KypR+cRQycBstBtYEJLUkr9b87wm6TtpJOb2D+VzDPV1JXuuF3w+H087EZf9kkYXe1weA\nI29W4Fe3Pwhd2A+A4NWylrcgeXxv2d7aPwVakXNaesAdnxfyOXx3unW7eatCTvsnStXkvNBXCODb\np2bf+0IrKZTOVIVO+y2Otf/uBeQNKUouLdo8bfgrhCi67H/bTp/fGlqc8yAaiJbvszy4He4HwJHO\nUwhe/TrhI1RbQRboCyEyM+l1lNfHkb5f6vvhfzC1RhtMew5ZN7A0kuYnRAGYfC3I2iEIIUSRpfPx\nJnR0JKGjI1mbaEf4uFsYExIwJiRYOzQhRBFjOHaS3kOGmI+H/fYSuvhbVozIknSmhBBCCCGEECIP\nCn2fKSFKuqAX97ISN2uHIYQQRdbRcWV513M1AJ90fQXN/n1WjkgIUZQ5LNtOq2VqbV8wW0m1cjyZ\naUymu+zuJoQQQgghhBAiW5LmJ4QQQgghhBB5IJ0pIYQQQgghhMgD6UwJIYQQQgghRB5IZ0oIIYQQ\nQggh8kA6U0IIIYQQQgiRB9KZEkIIIYQQQog8eOB9ppppXyhytdXXGBdqrB1DfpB7WzDkvhYcubcF\nQ+5rwZF7WzDkvhYcubcFR+5twSjp91VmpoQQQgghhBAiD6QzJYQQQgghhBB5IJ2ph8jJedVYcW4X\nt1YFcmtVIDp3d2uHJIQQQgghRLH1wGumRNGl8/Em7qlAggZGAbCi/Cy+jK2C9lsvAEzJl6wZnhBC\nCCGs7HK/+lwPMRLVcTIANhodH16pzPZ2oQCknjhlxeiEKPoKpTMV0ysCgK0fTCJsST/CRkQCYLxx\nozD++ofWkXcCOdBxQqYzOmZue5zQ5dsBMFonLCFEIdJVCWP56l9o06wLhshoa4cjhCgCNLWqEP1K\nKQC2thuNq9bW3CZIMcG7Xvt4Z6EjANFdgjBEH7dSpEIUfZLmJ4QQQgghhBB5UOAzU7E9Iljwv9EA\npJhsOdhuIo+kDgIgeOjWgv7rH1oxv4WyuOp4IKPyY/jC/lSafBmD9cIqHjQaTnxRD4Ay1S8Sv7IM\nvt9svufTdKVLq6frdaReuFigIQpxP1JMBo4MdyL4ZWtHUvLoPD3Ay8N8fL2qJy4HYixG8nUuLhiW\nugAwNXgevV4aiHbjnkKPVQitoyOJjarQb/wC2jjFpJ215bv4QPbfLAdAE7dI2jjF8KXvFgAaNKqN\np8xMZSumdwRbR04CVHpkismAFg1GVCXwYRfqYTRpGV9W3UsjJup9NACfdZcBZMavhCjwzlSpThco\no7O1OPdv+zEAPHH7LQLf3VLQITxUklrVAeDzSrMItVEdqWr/9AIgeMhW6UjlgtbOjqiXJpuP4yon\n0u3PVwEwHD6a4/Nuz3UA4EW/7Yw+0IzAvufUc2KvFlywJZCuShgJAS65utZu5Y4CjqbkqB14mjhr\nB1HC6P3KEvlxWaKbT8OYKXF6VnwFfjil0ttTF5fGe+NlnvLeD0A5vQNx4fZ4brRKyOIhp/Evy5/f\nTUGLltWJzgAM+6U7gT9fNjfsR37YlTY9x1szzGIjouduUkwZLasUk8HcqQL4usxWUkwGjOjMj28d\nOYnBPRsAcLx24ccs8l+Bd6Ycu1zns7W1ABjhtQsAV63qXP3z4mia3Hgb/0/vPeovcid85AEAGjsk\nATpeOdWUoBf3Wjeo4kanszh01zpwrrmadfK9S2eqsbdaj/Kqy3lebfAjwZ/2ASC0z/YCCrRkudWh\nLt6DTtDfbxEN7ZMsHtOmZSQb71jp1+V4Cy6PD8Rp8bZCi1OIdNGDyxPVfAJ3Zsx3dz1Fj0cs946I\nAAAgAElEQVT/A+BklSReeXcYWo2sUs0PuiphABx53Z2oFybT68yTAFx6zh7DlStWjKyYiLlK9RmD\nAag4/jAA5eO2yEDrfdCFBQMQ+PMZxpfdYu4oadFgo9GZ/7zzHGD+eXzZTQC0opYV/gUiv8maKSGE\nEEIIIYTIgwKfmTLEXmVnz0fVwbJdFo+5am1xqBeDvrw/qafPFHQoJd75t+rTutRvgJpKbnawM/Zf\nuaNn1z2eKTI78W41ICMH5/eEUrlaM3UnnXNKPkZVMuk8PXD5Vf38U8BYXLW2aNFmqTT5X2oiAE1X\nDSUw6BJ/VFoMwPygVcR9k8SAoa0BuNnGJGmVOXjNZyOftXwVALvfJT3yQRyfUwOAzU+MAWxpEdUW\nm76W6ezL1y0AoMW/A3D21DLIPSrtERnDzC29fznOPh8AwKA+S9BpjPjq1WxKY4ebGIHp/usBePTb\nV/DvIDNT92KIvUrAKPV9luNslMZkzgYQ2TCp9VDGtLVR6Sl96el9mdP8Mp8D1TZ788ITbJ+mPkM8\nkaUuuaELCeRsa1/zsUkHP/Udl+P17f/tQ9BUE5pNhZOZVSil0bWn1X5G1f/tyd6G31k8trHGzzw3\nswP6poURSclmH2Oil+spQJU2XVN1Hh0uviTT9w9o8JqXCOX+U/Wm1P0ZgLE2NTClJOd3WMWeLrgi\nf/yz1Pylc8lgovmhF4j9qyxlv8q+8xqK6gS0RiWaH/+6HutfGMOciqsBqDyxB4EvSmfqTjYaHY0d\nkngrxAYA33tcL3Km8/EmyFc12t219rSIaou2yZksn7N1d70IgPMWB8YMnWZunI649BieM6QBlR2t\nvT0ApkpB6MddpZLLOZb4LM14HG2WVN90zsudCyXGh8HibmMxyjakOUpfW3a8NgzbWY+vy6hiaukp\nfa387pW6lySdqHvQ1H4ETXIqAEe7uTK+zQ+0dEy64yq7HJ9/vMkstjdM4f2KhbMorVDeLel5zMED\noebkHmyJmAaAnUb99b+FL6LB8m4AeLeJyv6XiLvS1H6EPm9nfOnsTLblvaG9cDyac69c5+PNmale\nuM1WX0L6RCO2q2TE2mRjeaxJufcInUavx0Zj2Zxq4nAbgLFaTXZPeWjF9lAL85d8MJoUkwPT4ysA\n8MOYVnh8v4WynMr17woatpXnw7uzsfovABxsNMPc0RJpUlI5lJxKqI2G2x4ma0dT7KWE+hHiomZH\njBi5sMYfP7JmVvi+rsp9tF73Lw3tk8xdgP015f8gWxoNx0ep0foDL0+4a8cpOx77r8neiQ9A6+hI\n1JiqAITa7MKIka9j1bHPH6dJtWZwRdim6Y+RMlKtf8o8IyXuLbWJ6nQabbRc6ZVAg3InzI+19ljI\nLaPqLHUsFZ+n399lUy+CKZyqqTKPK4QQQgghhBB5UKjzuIYrVyjf8Qq/RKpqPN1dMurrvxKspkl/\neeVZSv9zntSTpwsztGLvSE97i+NXf+9N0NXkbNPLrnZXMwOlu51mW8gP2NRRubwLbnozO8y/wGMt\nynSlS/PtC9MtzoVPuvfeXInP1ORNj6kW5/amTVFjlJHodHq/svQcphZJ+ejs+CzmEda/o0rEeqyS\ntIeCYIg+TvulgznQcQK7X1PljtuNrGPlqIov7cY9rNpSF4Bx7TcytucMxq7piGnXIYvrav55AVCV\n/QAqzx8IQDCyv2K6xLbqdRjziJ4Z3SfxmF3WdOpmBzsCcOasJ8E/GBj140wAHrNTn8qhf/ZWf+7b\nWRghl1iG6iFEtUnfEkSNs/8ypwkAfuek4nJOtn8w2aKa3xMfDs6Swnf72drc8M9objufSX3ot/W4\n+loEf300FgBXrUMOV1mm9a1P1LLhZjgAv01oZPFYbJ1UTj43w+Kc/rRlu7ggWSUpdvLc5wDo3vsb\n87n+bqpj1evT8Ty1/0U8Oqt9ZgzXrxd+gMXQmMbzae0Ux4BzDQGoNPZilg7pyXnVOPT4LLAoSKEz\nL4wMsrmMsVFrtBse3s0kNXodOu6/8+N45ga7ktWXey1bdT9vmWzv9pSH0vFxnubGJcC2p3yxjc2/\nL5Uq63sRVEjT+uLhFT7tGgAbWjjSyCGBlPmLmdipvfnxlrP/pY+bSlkxojpSIW+rxr4MrSjXX6zH\ntM9UGyDMxnI7iglx4ay9HM6RaD8qva1S/0Ovn+TDE7uoYWe0uK7ySNVplTS0B3PtfwkWxx9fqUn5\nhecBubd3c2cBijvf4HG/hzAidC4tHVWqWorJwF+Jbnx8pBUAHq2iCzXeoqLia9GU0uS85inOkMA1\no3qvP/PzW9jc0BCw5JJ5vVp6hzV9QKZC5ZMA5v+LKhu7U37VnWusCo5VOlMBX6nGfIud/YntdYtt\ntX+wePzvar/wgpOqzoV0pu5K5+MNgI0mmhSTgUl+/wLQpFpfHNI6U/pyfgAcenyWRT5vjDGZjYnl\nCbJRO3FXszVwsrUdQRsK819QtKReuEisoRRwzXzO4O6E3tcHgP+6BZHoY6TJ4/voUfof8zXOms2E\n2liOgjRI+9I/9X4tKny6G9Pt2wX/DyjK6jzCgQY/kD7qGb6gP8GxDzZKf2lgfXZUn8hnMapiaOig\n01JwJRuBy2+zp62eGrbSLMoPhkNHABj+VU+2fjCJlo5JbPpO7fH3obfqzKevBfzt5ScI3rVVOlF3\nMoHRpNaTzoqvwLQpbXCIUZ+ZbvuvYoqMJpRz5vez3r8ctex2mddFxRuTmTOtOT5nZdbkQZ38IoJD\n1SeR/tlso9GxdMHjlDsh9/Zu4n4PQctuiz2lYmunElu3NtEtpqad240Rk8U+Uy0db/JsjbkANPi9\nM+4tc96/sqSKbxhLlY/6A5CazcSU3wYD9ivUTHWFtI5Tdt/tsZVUN+afoL8A2J82qB0wTY924+58\njjpnVulMpTcq7VbuwFijPqdrpFLJ1nIU/5m/1ALfFVXcCz2+4uTIO4EANHVYAcAnMdUAKHX0Ggbg\nv1H16dguo3d0OAU6LRkEgNN/WnzHb+bi0E4AbBn2DQ87va8Pnrr9Fuf+WPpjDlfrcvjZ0pbuX9N2\n+xDzB8PD6sp7yRgxMvT84wCEjjz0wAvG+/VbhhEjP+yor35nrKT6ZEe7YQ8XU92wsVNFEc4sqop/\nh4NWjqr481l/mRe6tmBh8B984K0GCY3AyMu12Vsj/apDOT39oeYydyuDElTqo8Py7XiT0XDP3GjS\n+5cDoM4KNdM3IU6l+cyZ1hyfidLYz41rL0dkabCmtLiGzR9uALzR+leLYh/B63sQ/NV2GQC4B5Mp\na2n0Qy0n37M0eubH3wv9nXHPdH0oi3+VH/lgqf3JzR/D+fHLFufePt4BAKOt9i6tsvwnBSiEEEII\nIYQQIg+svpFAuc8208H0JnsHTAQy8h0fsVelZn/p8iwuc2XBbnZ0oUEsbjc+7UhNIe9sUR6A+Pru\nDFx6muaOm80l6P9JcuCDt3sStFjdT52PNzfa1WXGIPU7ViZ4EfrF8Yc6TSrm6UAet8/fVKiaK4YQ\n+pDPSgFsq/ULRmDHJbUJp8eNvOeKX+6nZqK6u0xkdGxVKr2jRq0f5tfuvaSYMkZDTSYp158vNNnf\nxwOdgoDj2T4mMjgsv/fnouYn9Zod4XWA0bGV2dQiGEDS++4ic5nz5+rs4T2fMbhqLbN/tGgx1s4+\nNyD0kwQMqZISnBNdmHoN1vU5bd5bCjL2mcp8bnWiE6OiWlusjfrjXEZqYEvHm3zkr8ezkP8NxZ3G\nxpZKnxxkil9G/2DBTVdshzkBYCzkgjRW70wBlPt8MwywPFfHTi0cGzxqPpNSOuK0aJsVIivirlxl\nwJEuAKyuOg+A/16sAMCj7SJp7XSJzP/FZ1I8KXX6lnnq/kb9ivw5caL5Te2mvUBMy2Dcf5Bd5HMj\nzpgIQKcjXajpcYYvfHZZPF5l0ysAhA87KPufZGL744Ol7mpqVeHDoT+Yj+fPaoJvrDSs7mX4xva0\nfmaKtcMoEXTBFQE49ak9e4LncmeSR8q3yWibWCGwEubs8PqsqPgVAEbs2NQimNSz56wcVdGmrxDA\n4TfKENVmEqA6TasTPUkyqs6Uk/Y2jR1u3v2XxF67++MPO5NqRRnJmuaXYjLw5oUn2D5N5fk6n03F\n444Uvv+3d+cBUVbrA8e/M8OOggICAgKyueW+gWtl5ZKaVOa+ZYvlFlbWNW/7ta5p7ksuqVS/1DI1\n01uZZZbgjua+iwuKG67INjO/Pw4zOCwKozCAz+cfmXfemXuaC++8zznP85y7Na0QBTO0agDA9SAn\nenrmdFDelKZnzLZoIs7k3fOvJJSKYAqgzRuqEG3dZ1Mtjnd1TeaTajpcbTGoUk7j6sLjVVWnI1NA\nlN5YXSQXBK0jdx3PtzX98Ik/yfxA003/dm7v5vfCyBgqr3iw21M7X8oixXCLygW06tyeoWf+hTb8\nc8kPp8kqKHD4ZRt76tdi+wo1y2rq5peVqf68DKmp+b7Xg0YV4GpxuG59aGls2YDRsV/Rxkm1/K+1\n/gVCJ0kgVRgBq3XQQf28ptksnm//Gg6/SI2ZNY684AvA3ihVtF93/jBat1e1ljMDNrCm5gradXsF\nAOcVsiptjZSBUfw0ZDx+dqrj1+Z0ewmkCqH6d8n84LfM/HhQYjsuP6lBn6LqJXU1wnjk92/v+B77\nPwoi4qXzdzznQWbqKPf7/6LQDo6zWIWaMKwfDj9vzdMe3SR304qWO3viOe/Bvu8qiiP97QE43tly\nK5pRY4YSuniTzbJTpGZKCCGEEEIIIaxQalamKu1XLdDHJLdgnI/lTPOt5jfQVakCqI1/hZJ1+gyx\n69oA8OZzOwGy95HCogW6iU+8G6N815J5W73EtgwHXt3ZB4DA+BMPfM2J4+qtNF3zGqNa/QqAn30K\n7y7si99GldJnfzEV/d6DuOWqhzBqtTiYk/lKsodM2WHAiAEDN/zUZcejCK+93iMSgLc/jqWVUxrr\nblUAILSP7ClljQA7Zy68fAv/X2w9krLn6powJoSrDp/b0+HlacMJmhTHukpqI19DwHoAXE7dBCSD\nx1o1X96Ln50jm9PVTPRH/QeiZaeNR1X6aTUGtGgZlKjyTC+0UCl7pjrTZ4b8jhZtdkqaes2gxHbZ\n2SzK8c5z6RT+NPrDx0p28GVM0LvxND811PxHXvF0VoFd+dI7NgVgTMS3Fml+Ur+aQ1tPdepM86uY\n53PUurqS1qoWwdUtV0zX3couU9l1yab3r6UmmDLs3AfAvhENGDcjnTFeOfUnO1vNo9GMwQAEPSfB\n1O38N6gb+Ib+L5DQct4dz50f+IdFIPX9DT++erEL/n+pG9IHPZAyiRiyjTWOVdUDrT8Bqfm37L2d\nMWEvP11Xex3V9dxXzCMsmxZcq8YAt0R4+pI68OXdX6OrEcaBEZ4c7DYDAAMG+hzrSOrLplDswdzw\n0Fqm1BJ7jY6xddawgCAbj6hsOf9qC7bUn2ZuI91q7Ah8F8Sh8/RgQNu/zOe9e74pxu3SEr2oTPsm\neq1IIzZoA0tveDG/r9pzUrtFAqk7udIvCoCxPhP49ZYnl59U3/UXX4qi54hfGeD+GQDuWjXtN/tK\nIMufVwGX7uApOjR6iTWxKnUqU2YACs1zbuFS9BKfVv8+6XLVokHF9R2eRZpYLM9SA90A8t1G5tDs\nCI62y7nHTTdmUn/+CKqPU/evhjTb7tVVaoIpE83Gnaw4Vo83vdSHaZ89yx8f9QUAjRcNI3xAyW3E\nVdqZ8vEDUxryfEAHvgpem+ec2VdUtL/tahCHU6pQZbQ6rklNQ3tCZvbzMBoxpN3bztk6jWTQ5jZr\nRjcG/GsKy+qpKOrRCW8Q+oZlp86sRxtz5mEHyA76Bz/zC8srH8CUkVxn/UvUGJ2M/owEUUVVMe44\nTx3qAsDKiFXoJcu70DSN6wCYG580njoSgGrf7si3uczqxS3wR2r5iupih1AAlgdOJdOo5a3fexCx\nRWrOCsO0j5S71oGmjpcI+VXV6q70m54d/KsGFJf16bx/7nFODawG+1Sdnx5wiN9Ph+dVnR8aDU6n\ndpfwf0H5lN6xKTeHXuVQQ1OgqvaZililPuuIe9xrqTwpaC9OY8sGLGi5IM9xr38M93yvdr/It6kQ\nQgghhBBCWKHUrUwB+D+9l/3H1CxKPQeVWGXaK8nPR1p25kf7ZwIpLaHJa2pH+XQPIzueV/tHLZqr\nWnj5TonDgxRJ5ysBeqMB/8X2th5GqeI9PY76bZ5nd8uFAOzvNQNtL9VaNsd2tOQcS9bfov3evug+\nVbtwhP6+Hdn9xDr65POkLFKpQPwH6jgkcavbM4B0nLubC01U+klHl+tkGvVUOKPWo0yzookv1WSl\nl8oKGHexPoHzDsh1tohOLKnHl01nmB8/vvcZao2Wz9Ea7loHJvr9nf1IzZm/eVbVTG2Z1Bj3bzaR\nO0XakJpq0d1TtvMouosvReU5tuW9GRgwZnezVSnWLXf2JGKIXHPvxtQG/aPY+UQ66diZnk70z+oe\nt9bYI7heKj1bJpXKYEpYz3dyTmpJ9LvN1DFJNykRx1O91A/Zu+9dfEj9eQWsstGASqHQmEvUHqE2\nlXv80QS0GGnlpr7UN1yrAYAWI7+sawRAwPosHH/eCpywxXDLncoLVUrJ7DdDGOx+mKTW6kYrdIUt\nR1X6pfqoGyEDBi4bMkh+VIX0t7xa4Pj4BXY2yKmjWri1BRGXpOV8Udzq1ozvmk+lhn1O8x7DDG/0\n107YblBlTJXtqolXg7kjeS76T8Z4qRqzQYnt2P5rbUJikwBwP7apwPcQRWdK4wPY1HC6OY3P1GDC\ngM58DFSan+u0SjYbb1nyfqwqCYh0Up9dv52DiHhFBaGlbZKl1AZTY156CYATXe3Y8/Q0G49GiLvb\n8n099UPMBgAqnpK5vdyyziQR8pb6Ujf1Qzwe0lY9d+yE+byQAvboEPfHvHlPMvj1ybYeRpnko3Pm\nQPtZ6kF79U+yPp3OE1Qxaq1vZDWl0DQqSF03YxZgT+w1fwCW1vLFGZm5LwpTw5PA7bDpfXu60jT7\nmSsEEicr+sXkejU7NjVU+3aZGkvc3mDC9HPd+WoSMejdeBzIv+OfUIwtG1B/2i4i1RZzbErTM/yj\nYVT76UipvbZKzZQQQgghhBBCWKHUrkzZ/6Zao4f/BtEjmpmPuyL7HojS78mDXfCMOwcgM4J3cfuK\nlCgZvpPiiJ7UjFAk5acwqk/eA0DtysM58FxOXc+755uyenELgr5LwueYSqcurTOnpdHRz7L35mIL\nm9Ptmf9BNwAqyu+lKENMKX2m9L43zrZhyxcN1ZMawAhB8yTborCOD4VffRMwrfe8srsn3gviS/W1\ntdQGU0KUNX4T1M1UpwmNgDMSRAlRTuivqXqUsJhNdI5pbPGcv6RQWUUXHsLHXZaYH7/53itUWiw3\nnKJs8ZoTT/ScZrmOpuEpqepWy7ppz/b0DPNjh2WVbTiawpFgSgghhBAlylDBmegK5wEYdOIJPH8u\nvfUQQoiSE/HiVsaQE6BWKgOBqdRMCSGEEEIIIYQVZGVKCCGEECXKmLCXrv6mjnMpNh2LEELcC43R\naLz7WUIIIYQQQgghLEianxBCCCGEEEJYQYIpIYQQQgghhLCCBFNCCCGEEEIIYQUJpoQQQgghhBDC\nChJMCSGEEEIIIYQVJJgSQgghhBBCCCtIMCWEEEIIIYQQVrjnTXsf13YvdRtVrTV8p7H1GO4H+WyL\nh3yuxUc+2+Ihn2vxkc+2eMjnWnzksy0+8tkWj/L+ucrKlBBCCCGEEEJYQYIpIYQQQgghhLCCBFMP\nkFPfP8QvSTvRODqicXS09XCEEEIIIYQo0+65ZkqUfqnRzQFY3GQKmUZ7G49GCCGEELZ0LqbFHZ8P\nWHGGrOOJJTQaIco2CabKOZ2nB+0/+BOAWvb2bEyzB0OpqwMUQpSg9E5NSXwKIl7eauuhPBCy2jVm\nzpdTAHhu3Jt4fRFv4xGJB9WN7s2pHnOQn4KmkWnU53uOvUbHxwPrsfSHtgAEjduGMTOjJIdZptmF\nBJM4wRUAD9dUKjikk3i5MgCpV5ypNfoY+kuXbTlEcZ9Jmp8QQgghhBBCWMEmK1MaewcAUjs14HS0\nntrBSawMX21+vsuhztzKUuloJ455U2vsCfQXLthiqGWarnJlLsZ68pbnWvOxVxcMoVpmnA1HVfak\nRjen+uj9AGzcVJuwmE13PP/IpEhaRu7j+PhaALgs31zsYywvkoe3oF7vPZxNdQdgTc0VnM66xaO/\nxgDgcsyeoB/Ooz94xJbDLPO+/2IyAANC+gCQdeyEDUdTtmns7NC6u5kfn3ilJrcCsizO+anDFILt\nXADw/TUJy2eFKD6Gtg05/bAzXv+oVagZ46cSYa8BdBbnPb6nJ2sfWmx+/JZnAm+9mABAY+NrBH4o\n9w13Y2xRH/2HKfw3dAnXjKou/UC6HwDtQg4BEGznQviNVwkfeef7CFG2lHgwpa1XE9cZFwFYFTKL\n2Gv+JGe6E/bjEIvzKvtfBeDrx79gyOFh+E2QYKqo9DWqsbHBAvPjJ/Y9TeBn25Ekv6L5a8YXOQ+C\nNtA+psEdzz/aYzYAoW1qAxC2vNiGVq7owqqz9e1pGDCYjxmAADtnDnSamXPiMGg4ayQA1RecIOtM\nUgmPtOw69mkUAO7a7Tz09yCqn9xn4xGVfUc/bsqBfjNuO/JbPmflNPxJ7OGP//jTYMg/xUqI++l8\nI2fiXphAYpYKnlQgBQNOPMbhlCoAVBkN7mcv8GzVvgCcfdSLBa9PMp+79oXxdEt6E895kp6an5vP\nqrr0ceO/wFN7i4EfjML7t1MAZJ06DcCi57oCsHLiRIzO8rdf3pRoMJXWpRkLp3/Ot1cbA1BvznCC\n/rMFY1YWEWzJ9zXjqnaimsclTryjiiUDfr+JJn5XiY25rErr3Iwqbx0DYNkNLwAcR1fAmJ5uy2GV\na0cmRWb/tBPgritYAtI7NuXMI+oy9J9u/5fvOS0SevFOjTUAdHRJAWDXK9MAiEoehudcCaYKS18h\nJ1DNSLXHmCVrJNawCw4E4MBHnnzSXP3eXjOkAbAjoyJVdDepk52Bcclwi5eOPc3hn0MB+PGV8YxY\n9CxZZ8/ZYOTiQeP3xxWiKr+OZ7NkAG78zxcA3ylxeKCup+Zb+xT12HvfIQYRw8a31Qq2h9aB+i/s\n5vS8Eh16mZHUNROASto0hr46Ao818XlWn5MeVdfeylpnHM9KI7DCyHxMxQoXGjmSUdHIwcGzmJwS\nDMDeG/5sWlbffK5GD1Un2m71VGqmhBBCCCGEEMIKJboyda6vmrnb2LUGAIEn4u6acmbMyMBr3llI\nu64eT7x8WxKQyE1jp/4vrfveLib5xWHAwMzR3QFwTsh/9U8UTLWV31moc/02ZP8297j9tVIzVZCM\ntUHE1piEj+72Pc/yzu94dD7EXP82ALz5mTd72s41P9d9xG9sWFdHan4KQVfJnZkdFtp6GOXCkcH+\nABx6dAbXDGmEr4jBO16lRLl/vYnzw1qw7V/TAWj/3zfxnh5HAGpl4Nlro/G9WrhrishJTQVY3WsC\n1e2cAPjmelX+s+IZ83PVf0xFEydZK7kZdu4j6LZftwocK9Trqv5xCft/5dRVza72J51pfL+HVy6E\nfaHuSv/1Vjccz+btkHrkq4bseFit8tXZ+DLBH2974MstDk+JJPR7lSlV4/N9OGoz85zT3j0WgEec\nVeyQaYShlY6qJysdhZEbzOdeNaTR/8d+6A8X7vf7fivRYMpw3JXqrStw6pkAAPymJBWYZqJ1VW0l\n/dek08UjgdnN1I2pIS2tZAZbRl0c1BSAVX7TSTVm0OTrUYSslDxnayW10Vg8bj30ZVzIPzgyB00z\nLF8rNVM5dG5uHPxA1ZIdrTObTKMzyfpbAOxI92b0twNo3f4fZgaoi2SnA93QcspcFxXSO4mmK/qT\n0PQbAEZ5HOD7qQ3x6GyD/5gyxpiRSWyySpduF5xfXY8orIq3bb/T6NcRRAzNuSbc6taMea9PZlWq\nBwA+G69a3Dh5z4iTCcEC2Pn6AHB8cCgRTxxlfPAPVLfbDpBdS+lgrqnsVfEMvfpNNb92SbeqfFMz\noMTHXF6l+1YosHW6sKTZqKLV2+9mNY5qkvBiv0b80fYzTBOFnt+7PvBt5tOfbMrCLrOJevb+/X65\na51osWwfcU+rxl/6I8fv23sXRokGUyFvx9Osbne2j1L1DnWqDCNk7NZ8A6pDH9cF4Cu/ifQYMAK7\nlO0lOdQyya6qLyv+/Vn2I2deO/0EIW9LIGUN06qSqZlE/0S1MnKnVabcNVMir+Seddj3nLoByjRq\nGXDiMc5+FAaAw89bCSKepC/8qPGvVwGo8a99eW48/T7SYvhR3Z4a5La08MKDWBAcm/1AMrzvhVfC\nNfPPP7Wbxos9Y6j0s+r42eb9eH681pBt7dWNvfHcXpuMsSy52jeSS3U1zH1WNfuJcvop+xmHQr9H\nU6eTLOgQjcPPsnfa/VD1o6O2HkKZdnZJCAA7ms7gm+vBTJ2oMoQ8l8o9mdMvCay+2oAo75z7+iOZ\n6Ty7/cUiv9f3jVWmSpi9I2957mX+jyqLbUWfhzEmlNy1V75RhRBCCCGEEMIKJd4a3eOp49R7ZzgA\nvw8ez9N1B1HlpZvmNB6dlycH3g0j4elJADRb9AbBv0skXxj7xwbho3MG4IYhnQNT6uCGdJSzRu70\nvo2bstucF+HzNK1q3a2V+oPCzt+POoNyZopePd2Gq88543DGciY560wS4cPU9SC/dSfjdsvZphl1\nvuGDoKfVaxNP3d9BlyMHY1wsHmuu22SbwXJBe0vl9x/ITKemvSOzP53MtJh2AHxQZRe1/hpI9XP/\n2HCEpduV/lFcbGTktcf/B0B0xQlUsaidLNjky+pa/JqHZVv/w5lesipVjGZfqWnrIZRadv5qL6kL\njwVx+Yk0Pm6ygu4Vdpif//L1aDxXy32siTEri/WTopjz9iUAFo/thMPVLALWFT0D7T5glbwAACAA\nSURBVLk33gBgR4zKeBvsfhKAGe3c8Uu4TwMuhBL/NjVmZRH4gWpf2HdbDN/OnMSVvx0YNmYEAOfa\nZTHvkXk8OfI1AIKXyS9gYdx4LpItXScCqji30erXiPg2/xt/06bJhz5vSMA6I84rpDFFbi0ji77/\nTu7XmFID4Vrekx9AxwcG80PgFPPjM50c0V+697bm9R3gwGuqIUBYjARThVXzg8NIRYR19PvUBpwv\nvh3D7E8nU8fegdkBfwHQ4cBThI08J5/tHXz10QSC7G5P4csbSM25EsYflyK48mGgxfGUCHXua+9Y\nXm/fWDaA6sj9wv2Q1rkZ/b0XWBxbNLcDvsjGvZATPJ1vH0RG1yt8XncpAA875W2iADBq8jcsHqNK\nB05NjMDlB2lKVSk2nh9jPQEKrEMvjMqHS8f2HjadmnRcvZURj/Sl+5o4/p6gNuXcmK7lk6d747pT\nftmKotrIQ7hrncwFo1X/KDiD89hXaobpYOuZrO7gzngntVFfxcWyimWN1OjmVB+9n9igDRbHrVnN\nKs8qtLiAFi0ns1TDCf2ly1a/V8Qatcn3oU5q9c/gKreuouRVXLyJYYN68cdDy8zHmnoksj2oPiSf\nt+HISr9t6TqWXFY3mBtim2J8NIXMbZUB8Nivx233RfSHjmLPBYvX2QVGWTxeeVPtoxj+RVKevX2E\ncq1XJBWSVOe0lAgnMiuozIuAFWcAyDquOqqkdW4GwJ9z5mTfS6hufgNOPIbvFAmkAIxR9RnzjQo0\nI/NZTG2wpS/uX1c0Pz7bLQPXimnmpkknJq2ia43RBHwin2dxGHtedZwMmL6jRCuqbZ7nkXXsBB/+\nFk2faBVMJWVWhiwpKi+s1KfVl9HSoMmAAzFJbQGouCTvDbwxqj4nO7iys9Xk7CM6nnS5yqX3VgDw\nw+bm5ovqg84UCJEdIJlWnZLJaTRhOhYb9EW+7yGb9iqmWbyxEasxYOCxn2MAiMD6lBz/n9VkgaFT\n9rXiQe8zWxgaI9rsMll7je4uJ4vC0NaryaSIWG7/Kv3IeycRwxsT1s924yrt+o19g4qn09H9oVKh\nfIiDqZbnFDQ9Ytc9J0hN1qfzfmwfAKodl5tTE62rK5pg1QDFa95Z/us7hb0Z6jrc1jkRD60D9hod\nHw+sB8CKBW3xm7uL9FfVBFemUW/RyS9xSg0qyKQgACk1XcxB1FfXfVl6tglnVgYDUHXGNvwyLVdM\nw7LnWR6OfgWAFz9Zxj/DphMeoB6HD5WFA2vpqlTBeYRldku6QV2LS7rztzSgEEIIIYQQQggr2Hxl\nys7fjxWdp1BvzigAHum8g2e/W88PjzUCMDemEPmrOuoIAC4aB24Y0jnV0Tn7mVvmc0w1Up3nrWdI\npWOYlu5N+ruppf5vQr2wl5UpIO8GvOYUviQoTOvz0CVDJL0vm7GCanzQ3uUqACFL733l2W3PpXt+\njweOUWNuJZ8pK3n3RFdZpaMl/8dAAwc73k5ubJ4RnVR1Mz+2nsngvmoF1v1ruQ7kVukr62qbDn3Z\nhJ9qTct+ZMfji94k+GNZkQLQ+XgDcPCtEByq3WR71HxArUJnGjVE2J/NPjOnVu0tT1Whf7C7D7ta\nhrC93nzTuwHwfGIHANz/OCo1gNk8Fm2hy0bV5pxLKegvJeGrbgzumCBh2lbl28OP4b/yO7yCrU9z\nF8rRkWHsqTnd1sMASkEwdf1LR576eQQR2U0pEhcFkr7YjoarVSF5Qkd/ss6es+UQSy2tiwvejjfM\njxv/PozwSzvynHNkXgQAQyqpL7D6s1U3xeZP7mZOtfUlM9gyxnThC20zxNyVT9wfjqeuAAWn8Vij\nxjy1pC8xgigJF7uqutMtjWYw+2oQe9t7QfZ+iR+ur8u7XrtZ8PHnAIzaPRjDrv02G2tZp3VRkzFX\nu9Tjt3YT8NCqhJpay4dR86vzcpOfLWWhqtPZXVflS5q67227GkTilBq477G8ee/43WYGux8G4Mug\nnyHI8v1afzgSn+VqslZ/wbJu7YFm0KM/ZP0eXIY9B4i/Gc6s2qqGaqzLwxhSU+/X6B4YuipVWNPv\nM8DZfGzpDW/2jXgIAE0J7/dp02DqXEwLPgiJZVb7MPOxrBMnOdc7mNZrVLekX+fVxOOpi/lu7Pug\n0zcIJ8Z7RvYj5zzPa11dOTwngv1t55mPdTnYFd/NavftVr3VhXRaSrh6h/1npYA3l7CYTfSPbJOn\nuUT/xDY5DSZiNuET75bnHKHsf0PN4pvqdc4+4QOA9z18IR1539X8ni0SeuGxdfc9jlKIwtGFh7Do\ng4nZj5yYfbA1fhdy6iRO31K/7xH2qrOq3sUBTe43EYV25N36AOzpNxVw5NHdKl0gfNhmCaSypXVu\nxgfhOd33Zl+pydo+qp7asGs/FdiU57P650YAZAdT+XFN1ksQVUjpHZsCcLKTlvDhhauBauCQffut\nk/pVq2g1BNpZ3veOjetGxMait1e/L8Oxyf+qEEIIIYQQQpRxNl2ZeuXFlcSs600ElvscZR07wbRJ\nzwCw6d3pNHptOH4TJC86N03cLv59ugsAi4J/4/MWS/nsOdXmvMLSTRjqhrL/4XkWr3k+4G+eWnAR\nyFkp+PJrlRftf0Y+4/wkR12jdfTLgNrMV3Xpu2ZRE5V7VUo6+eXI03nv8ex0k3tIdd7b5kv1niXa\n/LTssguqxpetc2aul93wwpiR/54o4s72v+5lXnU6kJmO97S8WQEAq1MrAGB38bqsoFgpNbo5h/vP\nAiDTqOXzyzWp9KLKrJAsihxn+6bxiLOpe5mO355rgmFfTmqprnJlzgysZX7crOcu5lbbSKYx/1UR\ne40OWU4tHI29A6f7qt9GY3rhV5k+vqjS0Yxp6cUyLlGybF4zVfFQ/kOoMl+1TW7UoR9Dnl/F6nkh\nAOivXC2xsZUFm48Hqx+C4UmXq3ScpIpzx77dDG+HjXnOj3a9zO0Lkh32RxM4Xy31yxd+wUw1VGHL\nbTyQMsh9k6p//F9qZTq6pLCpyVcAdKWpVe93dGIkcNtS/jLPex3iA2fM2ucIvy4teYtK5+bGYw33\nmh/3nPk6fr/nPwk1amV/AEIPy8SKNXSeHiyb+jmZRhW4/vdSHeKfDCPr1Gkbj6z02dt6gUUr85BF\niVzJrASAVmPAzS6V76tOtnhNplHHVYMKwE5n2RFhnyt6kgLUQkka3oTRjdT2Mis7NL5rkH/5+SgG\nV/qMp3YPAqByZsGplqJghyb5WTzONOpxOZzPxl8lxObBVEFMNVLp+915qdkJ/u/xTgBU+E5uAG5X\n41VVd9L8695sbvx/5tWmcT7bCnxNqlHN7LX7YBTe3x9An5JS/AMVDyxTR85xhzrSscH/mY933XeJ\nVf3aYNy+t6CX5nF0YiTbe0zC1JGqzvqXCP82Qdan7iIr8RTP/zWI/Y9LM5V7ofHyYHbADyy+UQWA\ngFm7zb97p/7dAoClARPpcawLYe+oTmlyT1p0Ojc3rn5TCXetA59fVo0Uvp/7KD6nJHuiMMZX/cv8\ns+rml3eq9OOL9Vi6TO1LWeWfLJJ7pZHQcp75uQqHr8gEayH4dU5k3rGWAFROLDgw0oVVB8Cjzym8\ndS6k/qWuIZWRYKooNI4qYArwumJx/Kohg4Bxtrs+SM2UEEIIIYQQQljBpitTv16sTUbk9TueE7L8\nBtoBGq4HqlzUCiUxsDJEf+0aAJ4TQ4no8Yo5PO7SJIGJVfOml4xJbsK+LlXVa87Ey8xTMeif2Aa4\nZuthlDpeI7P4aY0nXV3VSugQ90Re+jGWmkuHAlBj9kX0B49YvEbn6YE+1J9nFq0DYJDbDMCBX2+p\nbn5hn2eU+E7n5YHdDZlHs8a+f6nZ5DSDPQBadzeOv1GXLl3iWeatWqE7axzZuTmM0HRJ7ysqnacH\nABcWefF3XdU6+ts5jwPgM01WpQrS7JPh1Oh1AIAuXruIdj1r8fxFQwajT3UFYMvRYGp+egPN1RsE\n3lYnHbLWlWeDVM215uoN9GcOldDoy7ZWXkcZ5fEPAG1/6ovb5xWx+z0nDV1bsSJJL9Rl6EsqFXCw\n22k6HehKwATVK0BWrovmWreGAPxZZ4bF8V4H+uLICRuMSLFpMHXtvWr8tmgqfbqMwmnVlnzPSXyy\nImf1qXjsl2LpO9H+mUDEnzmPDwKdaZzPmUayd54V98mRSZHcvpHvxk21ZcPefOiPHOft5X3o3Hdq\n9hEtBgzsey57E87noPXO3haveTJgL2O81pobTRiAd883ZdcLdQCKlCIoclR/27pNUx9UdlV9Adjd\ncRrgYN7ovFPcEbx1LtlnqdTT8GWvEPH2NrlJKiJjVH1afaGum697/sLprHReHDwSn98kiLob7+lx\npGQ39FnYtivjG9zWFEUD9teNeM5Xf/PhXM53EtVw8ybskwCqqFZ/+jC8rX7e1HAxN2LT+f56dXQa\n9Z3lok3nGdc/2ZmhSlfa7u5JhXecMWZJ7Z81roRbTgQeylRlK5nzfB/cYEr3xw567+/Hz7OmU+ep\nVwEIWq7hRlU7jE9dAmBt/fE8Pn80gWvkgipEWRcxNZEOf6i/9RvDrvJOjTV0dMmp2dvYYHE+Hfq0\nJKSrC2jvVUOp8dZOjGkSRImSk3UuGYDWn44iYcxMTD27qtqpXIlG23rg/aFarQrfsQ2jQdb8i0JX\npQrn/pXG6557APjoQiM2vBeF82/5T7KKgmn/TMD3z7ufJ+4Pt//bRPxGtVdn046PkPbYdVpWO87c\naqoB2KHMm9T++xXCRqvvOdfEYzLRcg/GDYi1ePzfs+0B1cHaliTXQwghhBBCCCGsYPNufq5PneWh\nCcM5FD1THeio/mm5sycAfYaOIuh/WySSF6VWWMwm+ke2Me81JXtMFSzrTBIO2d39PH6G90b2J6a2\nSuFtWfcwm08Es6ftXJptVW2lryVXoNbEy2jS1VJ+eOIm6dxnpfCB261uR//AM6pvIO/pcbSf3iDP\n01U4KN9RVjDVSJ2b78GKBvN58aTq2ntxoDfOB2VVSpQNWYlq+48qs0/BbDgJtCfnOhHMP7IvWjln\n82DKkJZG+LDNdB5mWd9ze7tI+ZISpV1y1DWLi6coHN8pcfhm/3wBCGEnXWmKL2rDSV9k/zMhyiOd\nmxsXFnkBMLn2EgYd6o3dYyezn5UGPkKIuzv+mdqM2gXbbptk82BKCCGEEA8OrZMTV5d6sbjWlwC8\nPHAEdn/ssPGohBCl3eurVcfJJ7vPIPpwZyr+dQyw/aSr1EwJIYQQQgghhBVkZUoIIYQQJSbjJ29a\neR5jRIvnANCdkVUpIcTdhb2matI7v9YYOHvnk0uQxmiUiiQhhBBCCCGEKCpJ8xNCCCGEEEIIK0gw\nJYQQQgghhBBWkGBKCCGEEEIIIawgwZQQQgghhBBCWEGCKSGEEEIIIYSwggRTQgghhBBCCGGFe95n\n6nFt91LXW32t4TuNrcdwP8hnWzzkcy0+8tkWD/lci498tsVDPtfiI59t8ZHPtniU989VVqYeID7x\nbvyStJPU6OakRje39XCEEEIIIYQo0ySYEkIIIYQQQggr3HOanyj9fOLdAIgN2gCAy/LNthyOEEII\nIYQQ5YIEU+VcanRzYoO+MD/un9gGuGa7AQkhhBDCpm50b86GybMsjuk0KlmpWUJ37GI9qbhkky2G\nJkSZUyqCKf0jjZi2YDoAMd1fxrh1t41HVD6kRjfnrxmWgdTx8bVwQVamROlwq1szdEOTAfi19g8A\n1I8fgGGvWk31TsjCecUWm41PCCHKA12VKgBodFpS2lZn3Lg5GLDsCWAw6gHY2GAxb/o25+AqF3U8\nNbVkB1tG2QX4c2hYoMUx382GPNlA52JakOqjPvtXOv/C8MqHqT9zOADV/hNXMoMV95XUTAkhhBBC\nCCGEFUrFytS1N64TZKeGosnUU+r6J5ZRt69KAWpVSuqlRClyqpORQ9krUgYMACRELYAo9fzprHS6\nhY/G/ZiaMXVdJr+/9yLxQ/XB9nrqT7ZER5B17IRtB1ROpEY3J6mN6rLbMnIfsUEbCF0yBAC/DUa5\n7gqbSuvcjLkzJgFQ3c6pUK/5zHczkUt6AeDd47SsThXg2KdRrO41AQB7j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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#b)\n", "\n", "#Here goes your code.\n" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [ { "data": { "image/png": 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OJ8fz5D/DCPxKHv7z6/CouhzoNJ3QBFe+7XqHbetRh8ZUnJ1a3ghXtSvDtqrr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\nrqHyLMeC3iLysGVNtPqhz282xxs1judqxQo2G3/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wIHHdJ+V7flhCZwz3n0aDmpmK+6IJ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\nPaxPZGW/1JvyP6fqxFjfES7+oy2JHWcy60oQAO77LpY4driqy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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#Optimal clustering part2\n", "\n", "\n", "#Here goes your code." ] }, { "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": "3.6.7" } }, "nbformat": 4, "nbformat_minor": 2 }