{ "cells": [ { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# HIDDEN\n", "import matplotlib\n", "#matplotlib.use('Agg')\n", "from datascience import *\n", "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "from mpl_toolkits.mplot3d import Axes3D\n", "import numpy as np\n", "import math\n", "import scipy.stats as stats\n", "plt.style.use('fivethirtyeight')" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# HIDDEN\n", "\n", "def standard_units(x):\n", " return (x - np.mean(x))/np.std(x)" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# HIDDEN\n", "\n", "def distance(pt1, pt2):\n", " \"\"\"The Euclidean distance between two arrays of numbers.\"\"\"\n", " return np.sqrt(np.sum((pt1 - pt2)**2))\n", "\n", "def distance_from_individual(attribute_table, i, p):\n", " \"\"\"The Euclidean distance between p (an array of numbers) and the numbers in row i of attribute_table.\"\"\"\n", " return distance(np.array(attribute_table.row(i)), p)\n", "\n", "def table_with_dists(training, p):\n", " \"\"\"A copy of the training table with the Euclidean distance from each row to array p.\"\"\"\n", " dists = make_array()\n", " attributes = training.drop('Class')\n", " for i in np.arange(training.num_rows):\n", " dists = np.append(dists, distance_from_individual(attributes, i , p))\n", " return training.with_column('Distance', dists)\n", "\n", "def closest(training, p, k):\n", " \"\"\"A table containing the k closest rows in the training table to array p.\"\"\"\n", " with_dists = table_with_dists(training, p)\n", " sorted_by_dist = with_dists.sort('Distance')\n", " topk = sorted_by_dist.take(np.arange(k))\n", " return topk\n", "\n", "def majority(topkclasses):\n", " \"\"\"1 if the majority of the \"Class\" column is 1s, and 0 otherwise.\"\"\"\n", " ones = topkclasses.where('Class', are.equal_to(1)).num_rows\n", " zeros = topkclasses.where('Class', are.equal_to(0)).num_rows\n", " if ones > zeros:\n", " return 1\n", " else:\n", " return 0\n", "\n", "def classify(training, p, k):\n", " \"\"\"Classify an example with attributes p using k-nearest neighbor classification with the given training table.\"\"\"\n", " closestk = closest(training, p, k)\n", " topkclasses = closestk.select('Class')\n", " return majority(topkclasses)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Nearest Neighbors ###\n", "In this section we'll develop the *nearest neighbor* method of classification. Just focus on the ideas for now and don't worry if some of the code is mysterious. Later in the chapter we'll see how to organize our ideas into code that performs the classification." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Chronic kidney disease\n", "\n", "Let's work through an example. We're going to work with a data set that was collected to help doctors diagnose chronic kidney disease (CKD). Each row in the data set represents a single patient who was treated in the past and whose diagnosis is known. For each patient, we have a bunch of measurements from a blood test. We'd like to find which measurements are most useful for diagnosing CKD, and develop a way to classify future patients as \"has CKD\" or \"doesn't have CKD\" based on their blood test results." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
Age Blood Pressure Specific Gravity Albumin Sugar Red Blood Cells Pus Cell Pus Cell clumps Bacteria Glucose Blood Urea Serum Creatinine Sodium Potassium Hemoglobin Packed Cell Volume White Blood Cell Count Red Blood Cell Count Hypertension Diabetes Mellitus Coronary Artery Disease Appetite Pedal Edema Anemia Class
48 70 1.005 4 0 normal abnormal present notpresent 117 56 3.8 111 2.5 11.2 32 6700 3.9 yes no no poor yes yes 1
53 90 1.02 2 0 abnormal abnormal present notpresent 70 107 7.2 114 3.7 9.5 29 12100 3.7 yes yes no poor no yes 1
63 70 1.01 3 0 abnormal abnormal present notpresent 380 60 2.7 131 4.2 10.8 32 4500 3.8 yes yes no poor yes no 1
68 80 1.01 3 2 normal abnormal present present 157 90 4.1 130 6.4 5.6 16 11000 2.6 yes yes yes poor yes no 1
61 80 1.015 2 0 abnormal abnormal notpresent notpresent 173 148 3.9 135 5.2 7.7 24 9200 3.2 yes yes yes poor yes yes 1
48 80 1.025 4 0 normal abnormal notpresent notpresent 95 163 7.7 136 3.8 9.8 32 6900 3.4 yes no no good no yes 1
69 70 1.01 3 4 normal abnormal notpresent notpresent 264 87 2.7 130 4 12.5 37 9600 4.1 yes yes yes good yes no 1
73 70 1.005 0 0 normal normal notpresent notpresent 70 32 0.9 125 4 10 29 18900 3.5 yes yes no good yes no 1
73 80 1.02 2 0 abnormal abnormal notpresent notpresent 253 142 4.6 138 5.8 10.5 33 7200 4.3 yes yes yes good no no 1
46 60 1.01 1 0 normal normal notpresent notpresent 163 92 3.3 141 4 9.8 28 14600 3.2 yes yes no good no no 1
\n", "

... (148 rows omitted)\n", " \n", " \n", " Hemoglobin Glucose White Blood Cell Count Class\n", " \n", " \n", " \n", " \n", " -0.865744 -0.221549 -0.569768 1 \n", " \n", " \n", " \n", " -1.45745 -0.947597 1.16268 1 \n", " \n", " \n", " \n", " -1.00497 3.84123 -1.27558 1 \n", " \n", " \n", " \n", " -2.81488 0.396364 0.809777 1 \n", " \n", " \n", " \n", " -2.08395 0.643529 0.232293 1 \n", " \n", " \n", " \n", " -1.35303 -0.561402 -0.505603 1 \n", " \n", " \n", " \n", " -0.413266 2.04928 0.360623 1 \n", " \n", " \n", " \n", " -1.28342 -0.947597 3.34429 1 \n", " \n", " \n", " \n", " -1.10939 1.87936 -0.409356 1 \n", " \n", " \n", " \n", " -1.35303 0.489051 1.96475 1 \n", " \n", " \n", "\n", "

... (148 rows omitted)" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ckd.scatter('Hemoglobin', 'Glucose', colors='Color')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Suppose Alice is a new patient who is not in the data set. If I tell you Alice's hemoglobin level and blood glucose level, could you predict whether she has CKD? It sure looks like it! You can see a very clear pattern here: points in the lower-right tend to represent people who don't have CKD, and the rest tend to be folks with CKD. To a human, the pattern is obvious. But how can we program a computer to automatically detect patterns such as this one?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### A Nearest Neighbor Classifier ###\n", "\n", "There are lots of kinds of patterns one might look for, and lots of algorithms for classification. But I'm going to tell you about one that turns out to be surprisingly effective. It is called *nearest neighbor classification*. Here's the idea. If we have Alice's hemoglobin and glucose numbers, we can put her somewhere on this scatterplot; the hemoglobin is her x-coordinate, and the glucose is her y-coordinate. Now, to predict whether she has CKD or not, we find the nearest point in the scatterplot and check whether it is blue or gold; we predict that Alice should receive the same diagnosis as that patient.\n", "\n", "In other words, to classify Alice as CKD or not, we find the patient in the training set who is \"nearest\" to Alice, and then use that patient's diagnosis as our prediction for Alice. The intuition is that if two points are near each other in the scatterplot, then the corresponding measurements are pretty similar, so we might expect them to receive the same diagnosis (more likely than not). We don't know Alice's diagnosis, but we do know the diagnosis of all the patients in the training set, so we find the patient in the training set who is most similar to Alice, and use that patient's diagnosis to predict Alice's diagnosis." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In the graph below, the red dot represents Alice. It is joined with a black line to the point that is nearest to it – its *nearest neighbor* in the training set. The figure is drawn by a function called `show_closest`. It takes an array that represents the $x$ and $y$ coordinates of Alice's point. Vary those to see how the closest point changes! Note especially when the closest point is blue and when it is gold." ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# HIDDEN\n", "\n", "def show_closest(point):\n", " \"\"\"point = array([x,y]) \n", " gives the coordinates of a new point\n", " shown in red\"\"\"\n", " \n", " HemoGl = ckd.drop('White Blood Cell Count', 'Color')\n", " t = closest(HemoGl, point, 1)\n", " x_closest = t.row(0).item(1)\n", " y_closest = t.row(0).item(2)\n", " ckd.scatter('Hemoglobin', 'Glucose', colors='Color')\n", " plt.scatter(point.item(0), point.item(1), color='red', s=30)\n", " plt.plot(make_array(point.item(0), x_closest), make_array(point.item(1), y_closest), color='k', lw=2);" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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D67ps2LCXb74poW/fLAYMyGkV3fxXXHEFGRkZTJs2DcdxePbZZykvL+fxxx/X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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# In this example, Alice's Hemoglobin attribute is 0 and her Glucose is 1.5.\n", "alice = make_array(0, 1.5)\n", "show_closest(alice)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Thus our *nearest neighbor classifier* works like this:\n", "- Find the point in the training set that is nearest to the new point.\n", "- If that nearest point is a \"CKD\" point, classify the new point as \"CKD\". If the nearest point is a \"not CKD\" point, classify the new point as \"not CKD\".\n", "\n", "The scatterplot suggests that this nearest neighbor classifier should be pretty accurate. Points in the lower-right will tend to receive a \"no CKD\" diagnosis, as their nearest neighbor will be a gold point. The rest of the points will tend to receive a \"CKD\" diagnosis, as their nearest neighbor will be a blue point. So the nearest neighbor strategy seems to capture our intuition pretty well, for this example." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Decision boundary ###\n", "\n", "Sometimes a helpful way to visualize a classifier is to map out the kinds of attributes where the classifier would predict 'CKD', and the kinds where it would predict 'not CKD'. We end up with some boundary between the two, where points on one side of the boundary will be classified 'CKD' and points on the other side will be classified 'not CKD'. This boundary is called the *decision boundary*. Each different classifier will have a different decision boundary; the decision boundary is just a way to visualize what criteria the classifier is using to classify points.\n", "\n", "For example, suppose the coordinates of Alice's point are (0, 1.5). Notice that the nearest neighbor is blue. Now try reducing the height (the $y$-coordinate) of the point. You'll see that at around $y = 0.95$ the nearest neighbor turns from blue to gold." ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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wBNoxL68Cf/nLFrzyysnnvpSX+/DII9vh8xmIiVGhKCqKity4++5NWLz4fHi9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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "alice = make_array(0, 0.97)\n", "show_closest(alice)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here are hundreds of new unclassified points, all in red." ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# HIDDEN\n", "\n", "x_array = make_array()\n", "y_array = make_array()\n", "for x in np.arange(-2, 2.1, 0.1):\n", " for y in np.arange(-2, 2.1, 0.1):\n", " x_array = np.append(x_array, x)\n", " y_array = np.append(y_array, y)\n", " \n", "test_grid = Table().with_columns(\n", " 'Hemoglobin', x_array,\n", " 'Glucose', y_array\n", ")" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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FnuvYsSMRERFERETQt29f+wa054xJXBy2wED7VrrO1BZxTNOuXfhGR2MKDgZ7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\n51krdX2etVLX51krdX2etVLX1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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# HIDDEN\n", "\n", "test_grid.scatter('Hemoglobin', 'Glucose', color='red', alpha=0.4, s=30)\n", "\n", "plt.scatter(ckd.column('Hemoglobin'), ckd.column('Glucose'), c=ckd.column('Color'), edgecolor='k')\n", "\n", "plt.xlim(-2, 2)\n", "plt.ylim(-2, 2);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Each of the red points has a nearest neighbor in the training set (the same blue and gold points as before). For some red points you can easily tell whether the nearest neighbor is blue or gold. For others, it's a little more tricky to make the decision by eye. Those are the points near the decision boundary.\n", "\n", "But the computer can easily determine the nearest neighbor of each point. So let's get it to apply our nearest neighbor classifier to each of the red points: \n", "\n", "For each red point, it must find the closest point in the training set; it must then change the color of the red point to become the color of the nearest neighbor. \n", "\n", "The resulting graph shows which points will get classified as 'CKD' (all the blue ones), and which as 'not CKD' (all the gold ones)." ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# HIDDEN\n", "\n", "def classify_grid(training, test, k):\n", " c = make_array()\n", " for i in range(test.num_rows):\n", " # Run the classifier on the ith patient in the test set\n", " c = np.append(c, classify(training, make_array(test.row(i)), k)) \n", " return c" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# HIDDEN\n", "\n", "c = classify_grid(ckd.drop('White Blood Cell Count', 'Color'), test_grid, 1)" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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WMoTDIWy2KubPr6n4mFAKW50uw+hoAJerlocfXlrRMWEybF9++SKf+1w70yVt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/jxh1koW3R+XWD7yU8u0dAQDd2T/uQn7zM0lKOhIUoiYZJImESjkhMnhrnlljqSyWDVr7XmRz86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7tqDrXRgyJDcht8nJseu63aFmuf366w9YvHgu33zzNZ988hZ79pQzefKohNza7RIQITPTxcGD\ntc1y27ZtW0aMOJ+2bcPk5Ojcf/8cbrjhimh7LcFFSFo5KOnGSktOAuwokU3oSrfYA1YIrIHXgZAh\nABW1VVAi39apYtY9YEWY9xY+yi8uMMdqSBK89bHEzbf9mbnPfkiPjqXROIl9hfDHZzO4efYUUtJy\nkOUwiroD3TqIu++8ivcfL6FHZ7BZoUcBjBoseOr1MOdNOAtJdyPrhaay8HJkN9bQMoSSZbSzrr2y\nfgRJeNEt3WK24fVYwusRSqZhKyeB5ERW9yNQolLkQgjmP3sDf/rzk3y19luef/VbgmE7gwadRkHb\nch594SC9C6qiwbB7D8GD89L4w92/QFaS8AXA6UzDqm8xcev3+XjovpksetxLdiY47JCVJnjjIy+f\nLHmdT5a8wpIlHzNk2DhSUxzY/K8YsTpySoPfQaBENqFZB8YGL92Dzf8aQnYZ95KSEHISEIxyWz94\nSWoJ1uDbCDnTiNOQDM6Oxq0m7Ea/kjKxUNpibhV1P+PO/hnd+l/Lpj0FZHacwV/uu4iU1BR2FOZz\nWt9R3HXbhSQlp2FRtyPkHOO3BFb8axFn9tpiyp4C2LVfR8dBz95nHrffNuRWF3Z8AYHTaceqbT3l\n3J4svwWwhFYgawfQbS0vBHmiOO4dkzffTFxxFqC2tpbdu3ezcOFCgsEgl1xyyfHe5keHjAwba9YU\n0aOHEXhYXR2ksLCW7GzzKluSJNLTbaxeXcz06YZDHTrkxe0OxQWEKoqEzSbzzTeljB9vbGN//30V\n4bAWtyK3WmW83jDbt1dFZcu/+aYUm02O07twOCxUVBjtqy8SuGZNMenptrgjC5fLSmFhLdXVweiO\nwZo1RWRlxSuZpqfb2b69ijFj2uNwGHocGzaUkZkZ61dx8V62bPkKlysNXR/F0KFtkWWJYFBl+/aq\nhAqpmZn2VuJWahG3mhZg7drl/PDDh1xzzYX069ePb74pxecr5bXX5uLxXEb9lrXXu4cXXniAKVNe\nOyFuv/xyKcuXbyEYvBIj+19n0aJP6ddvPrNnX52QnlB/8AAAIABJREFU2xhfDjZsKGuWW5vNwemn\nn8OAAYKDB2PHWpJejawWmut6GOQi5HSUyGqq/Ofxl4fv5/CBTYw9M4drf3k+phNHSUFINizhb1Ad\n4wGQI9+TnpHOvkI3XRokPew9BBmZGSjqDp578QPuu2c2987dgCJHSE7N5qlHLyO6MSA5kLQK9PAB\nZFFBZqMY3/494fDhI8YL2YWsFZqOdZTwGvQEQYBCTkdWt4MYYwQ/Ch1LZIPxcG9sq2RiiWwgbBsK\nksybrz9LxaHFfPpiCEky4lx+//hy3lrkYMbFw3lp7pXc/dAXlDy5DUXRSEm289zcWTidNtRIJI5b\n1TIdgG2bVzBmaDCa/hsOw9X/B689Ap07hIBSfjhQyq9/fSGL33kOCIPUqLy9ZAXhRY5sj8qWW8Lf\nICRbfDBmHbeSVoiw5KNpGp8vfZIfdu+iV68unDO2d2y3rpW57dZ1Dt26zQERxOZ7ljOG9+eM4WZb\nXc407mk16jGNP3sib330dpyOyfufpzD3sX4mbiXtkFHoUGnU3ib8tkluOT5uAZTIGoScHh9Ac4r8\nFhFEVrejy00H0LYGjntiMmfOnGZLYdfrNkyaNInf/va3x3ubHx1kWcLrjUQVNEtL/U0GV9tsChUV\nMZXHgwe9cdv59XC5rBw8GBMv2r/f02S8QWqqjX37PNGJycGDtXGDbD0cDoUDBzzRwbOiItCkHLsk\nGRV3MzIcdSm0kYRy7GDEXFRXh8jNtVBbGyEcNrYThRAsWPAoO3eWUlt7GopyiKSk2+nf/xEmTBhN\ndXUoTj+kHooi4XaH/yPc7t//Pa+++g+83oFoWgpLltzHmDF5jBw5m7VrP8DjGUPDc3Rd70Z5+VY2\nbNhJfr6x1Xw83K5atYRg8DJikkQyodDZPP/8AmbPvtrEbSKEwzq1tRFSU23HxK2klTadFSDZ+GLN\nen5z12xumqky/Qz44DMYPm41/156Py5Xg0mS7ELSDsZeavu5587L+dXtz3HbFW6G9xes2yrzj9fS\neOrRGcjaPjIyBvLk02+heF8CSUKWZbMIGSAkBxZxiEAoPhYgFAbdJDBl9EfIGUaMgPAag0EiCN0Y\nDJRcELVAvD5MDGHDRkpl8TvP8/FToShlsgwP3Bjkgt+sYsa0s8hK15j79FvoQiBHdmKLfGKskhNw\nK2sV0ZdZaX5KKiyAcfT14b/hkgnQuUFoQ/cCuGB0MZ8uf5/J5xYk7paUiqztQ8cYPCXtYNyRQszW\ngawdoNzj4ppZk5h4xn5G9A3x1eYvee7FTOY/dyPpafWxCq3PraRXx+uH1ENSkHQ39cqvI88o4N03\n8vnjM4eYdWEQXwAefTWJ0aPOIic7E6kBt7J2ECElfn4l8tuogFkcX8fOrVY3MZG1iqaVX//T3LYi\njntiMmPGjCYnJjabjdzcXMaOHcvw4cMT2vwvo2FNFofD0qRkuBDCFCuQnGyNEwCrh6rqpjTNpCQL\nJSV6wiDPcFg3TUQcDgW/P5IwfVVVhem6iiJHB6fG0HURTVtuqu5MPSSJaLBqQyn4HTu+5rvvvASD\nFwKgaeD19uaOO/7Apk2fNRvg2vi+p4pbXddZsOBx3O7LqZ98VFZ2Y8WKVWRnf0FpaRHQK+66kUg2\ntbWxB+HxcGssphv/GyuEw/VFAJvXUDR+B7nOtuXcChzxAlH1EILb7n6FT19So/VOxg6DV98LMvvW\nl3jthQaq0UJFSA3TNJPo3CmFf75wB68vXMW7Kw/Rq2c+r704hsx0CdFgRSopSU1KZkuoILvoN3Ac\n73/2NlPPjj2IH3/Nxs8mx7QtELrRn3pCmlW6lIgVdLPRvLJ3zNZqCZviGgBsNrBa6oUC6+qkSBKS\nnNQst6LBSrtHj57sP5LC7v0+enSGA0UwJEFySZ8uPr47XAm0J/Fj37zaF5KjTjo93ickjN/swft/\nw19u2snQuvuNHhpkxKAjPPT3Rfz1gSvqLtT63CLZjHCKZq8b02eZ+8h0lq0q5YGX1+Jw2pn1y7EM\nHpgfx62Qko2+Jrx/vN9CCSeL25itEp1Uxbfh1HF7qnHcE5Nnn332ZLbjfwZ+f4SePWOz2g4dXFit\niQcktzvMiBGxSPxevTJYtaqIRHC7Q4wdGwvGGjy4Dd99V5Uwq8XnizBoUOyQdciQNnzwwf64Iw8w\nBt2GQaIDBmTx1VclcUcpQghsNsUUr9C9ezr799fE6VpomjHZqT82cTgstGuXRG1tmC++WE4w2Pgs\n047Xm8fmzZsZPHgwLpcVTRNxR08+33+G2+LivQQC7WicWeD1DmbTpn/ToUNv9u/fi66bRwybrZBz\nzon19fi4tVNdbc6cgUBUMr4ht40nHuGwRtu2SdEJT1aWo8XcGtk31oQPzSNHDpGbrZqKsAHMvAD+\nNn+/6T1Jd6M5xkZfa7bBWP3fkZWZzc2zJ5lttXJUx6Doa906BEvwg/jjJACho1t6cfe9j3LXHVUs\nXPY1fbr62fCdnd6n9eXGy+ticIQAyVyWXle6I2n743UthIaQk2NaD5IDXWmHJGppKHRl2IbRlbZE\nK8oqWdR4j5DWQNKiyg2Kkmwocyo9Y19thltJuFFtI2JttfTiyUcu5+bfv0OHnBoCwRBFpWHGDjM3\nZ8W6DCZechGSvhWhJJBC133HzG3hwS3RSUk9Rg2GB5+v+41PEbdCzkKXXSC0+ME+AbeyYuP8s/tw\n/jnmxifillDijNKm/PZkcRu9rmUAlshXCKlRFs4p5/bU7pr8VAb4FENRZEaPjg1yFouRIVJeHoxW\neRXCOObIzHSYJhDJyVZGjmxPWVkgurrXdUFlZZCCgjS6dIkFk+bkOOnfP4vy8gCaZkyPNU1QXh5g\nwIBsU7pq165pFBSkUlkZjG7lq6pOWVmAkSPbmyYWp5/ehsxMB9XVoehxXTisUV4e5Lzz8k07NGPH\n5qEoskkOPRhUqa4OMmVKgYmXSZM6EQhoTR4lgIjWN5kypYDq6qBJDr2mJnzSuRVCUFUVOiq3xqQn\nUbt1XC4b06bNID39G+BAnV0Ym+0zzj57OHl5sTYcD7fnnnsFLtd7QH2WSg2ZmR/wwAN3xXHbUMbf\n54sQCGhMmmQWtmopt0gWVPt5SHo50UqkQhjbxVI6IsE6y7QJIHQkrRLdUmCS4BZKDrq1vxFUK+oK\nAQoNSStHtw4wpVTqlq7olgIkrTL24BQqslZmSIvLydjtdh6f+wb3/3UVI8fP5tnHr+MPd11i/GYi\njKSXo9rPo2GKs+oYawxwDSW7RRBZr0a1TzH1SXVMQhIB0GOVn9Hr1UFjE6sbb/kzs+7JpKjUeH24\nBGbd4+Lm2eeApKA6RjfPLcKId5AyjeDIesjJtMmfyLvzr2TOnDn88ldz2FdawMJPZDTN2HF8fYmN\n/WWnMXj4uSeV26ZxarkFUO1TkPVqTDL+ek3LuI36bTy3qm0kslZGVJb+WPwWHUmvOCFuddvpCCmz\n7kil7h/oP8GtOLWZta2alfMT4tGrV0ZcHEF2tpNu3VIpKwvi8YQRQmLYsLZMmJAfpySal+eiY0cX\nxcV+amtVFEVi1Kj2jBmTF6dl0rVrGjk5To4c8REIaNjtCuec05Fhw8wptZIk0atXBikpVoqKfIRC\nOikpNiZN6mSWFseINejTJxOrVebwYS9er5+8vAwuuqgrBQXmM1arVaZv30x0HYqL/UQiOnl5Rupr\nmzbmlYXDYaFPn0z8fpkNG5ahqt0afBqkXbsN3HffnUiSRGqqjd69M6iuDlNVFUTTjPo0kyd3Omnc\ner1BwuEQZ5/dmbPPzm+WW0VJ5dtv38bv7w7EJnEpKV9y//1XcPHFIxg0aCR7935KJLKKzMwfuOWW\nqTz88B2mnZyG3B454icc1sjKcnLhhQVNcpua2oaUlFwqKpbicGyib183zz33R848M3aEGuNWpbTU\nR22tnz592nLRRd1ISzPvzhwLt0LJRle6IYkyZN0DkkCzDSMp+2c8OfdpJo2OkN6g2fMXg0ftyUWT\n+oCkoNlHodnG0FgTQrd0Rcg5RjaBHgDZjmY/B83eaBtAktAtvRByCiJSSDjowZ6Ug550gVlaHHCl\npJGbPwKHsz5LIYxQslDtFyKsBVG7UCjEwrfe5Mln32fN1/tp18ZBu2wHQslDdU5FKG0atcGBZumD\nLPzIWjmSUBGWbkQcP4MGBeE65nciv8sIHnpqN/MXa6zZ0oZbb5rO4GFTUB2TaVyCviG3Qq0mGAyi\nuEZC8kQaV6YVljx0pSPZaR46tLUw+fyh/GttOx6eF2TBv7JJ73A19/3pCSwWy3FxK2tFSCIEcgoR\nx6Qot+vXrycneRcdG8RFfr5Oosrfi/HjR8Vxa1zXim7ti4SOiBwhFKzFltwV3TXtuLkFQE5Ft/Y2\ngrL1KkBDt/Y/KrcN/VZzTGiSW1kvRtJrW+y3uuYjENRQUiYjJZ1lsmsJtzFbBd3aByFZm/XbxtxK\nejGSiJyw39Zzq1l60KTabSugxcqvzWXhtASXX375CX3/J/z/h9ZQNxRCcMstd/Pxx9soL++OzRYg\nJ2c78+c/yrBhQ49+gZOEY+3bpk2bueKKmykv70UolExOzh7OOac7zzzz92ZjbU41TpUi5ddff81v\nZk/hmktU+nWH9z+X+GpzGss+305S0skXcToZ/QqFQlx9xflcOHI7l5wborgc/jQviwlT7+OS6Vee\n5Ba3HE31Tdd1AoEASUlNC/u1JtxuN9dePYXRAw4xtI+HtVvTWLejgBfmLyElpQkZdiAQCGC1WlFV\n9UerjvqT8uuJocUTk4yMjBNy/oYR8z+haTQV/Pj/o20wGOTQoUPk5+e36J+vpdcVQrB3714++eRT\nsrIyuPDCKSQnJ946bi0OAoEAhw8fbtGDpf66fr+fDz9cSllZBeeffzY9evQ4Ze1tqW0gEKCwsLBF\nv9mx3D9RPITf7+fRvz/Cwf3fM/7ci/n5z3/epO2xXDcRjIHgEB07tswXE133tX++gMNzD9dMi4m7\naRpMuL4Dby76Fru9iQyNhteElvXtGDgIBgIUNvBFIQRPz32Iz5a9RVZ6hMoaJ1defQcXTZvZKtw2\nZ6vrOqtXreSH3Vvp2XsQo0aNNg7xEthu3bqVh/90AzalnEBQpn3+QGb96rf06tX76L9ZK3HbWraN\nf7P/RBtabHss3J4itHhiMnv27BOamDzzzDPH/d0fEzyecMI03t273axZU1SnJCrRvXs6Y8fmJQxe\n3bKlgq+/LsHvV7FaZfr0yWTEiNy44EZdF6xfX8rGjeWEQsZRzumn5zBsWNu4o4lwWOPLL4v5/vsq\nIhGdpCQLZ5zRjgED4gO0/H6VlSuL2LGjgupqNx06ZDN+fKeofkhD1NSE+fzzwxw86EUIQVaWg7Fj\n86Lpxw1RXu7n88+LOHLEOPds3z6Z8ePzyMmJX2EfOuRl5coiKiuDSJJEp04pjB/fIWEhv+Ph1uMJ\nUltbw4gRXRg7Nv+Uc/vDD26EEKSkWBk1Ku+kcXvoUA01NW569WrPeecVnDC3cmQ3SngNkvACErrS\nve6sO/66cmQLSvjrukwaK5q1D5ptRIIAPN0QgIpsxEiDtaNaT0e3DYvbPkeEUcJfIgKbcbsrSEvP\nRUoehW4dEHd/hB9LcCWy9gMgEFIKmm1UVOPimlmTePHur0wBqgD3P+1k/MQ5DBx+VVRfoh5ut5ul\nH76K372Z88d2oGvnTHSlPZp9fEKJcUk9hCW80ogvQEK3dEK1j4/fPm/ArRauxu324Mo6HTllAs88\n/QQWz9PcMctQM1ZVuP5PqUz52UWcN67gpHOrRL4HIggpCc12xnFxW1ZWxvW/HMvbfz0SLb63aoPE\nY6/n8uoLtyMlnxvHLRgBz0ro87oquJi4/f7771mz6hMys9oxecpFuOyVx8xta/mtGvFR7fbhyh5v\nHMG1Ircm6DVYQp8jqwcNWyUL1Tb2mLmNg3oYLM3I659ktGoRv58Qj3nztjFjRk/TQ37DhlJWrjxC\nVpY9Oqj5fEb67qxZvUyVgz/99BCbN1eSmRmz9XjCpKXZmTmzRzRAUgjBokX7KCz0mrI8qqpC5Oen\nMG1al+hEU1V1FizYTU1NKDpp0nUj8HPgwCzOOSfm1MGgyiuv7ETTdGw2qKqqJi0tHa9XZ+zY9iZJ\n+JqaMPPnb8fhUKJ9UFWdqqogF13Ule7dY4NtcbGPBQt2kZpqi04CwmENjyfMzJk9yc2N7Zjs3l3N\n++/vIzPTEe1vMKgSDGpcffVpJ4VbTVOpqqrGYnGRnZ18yrmtDzjWNMP2ZHErSTpVVdWkpKTh9+sn\nxK0c2oA1vNIQdap/8Oo+kBQiSbNMZ9KW4KfIkc2GNkedraR7EFIakaSZsSA+IbAEFyFrhSYZb0mr\nQrfkozqmxVZ2QsXqX4AkaohoTqqqqsjMSMeqeNGtA1EdDQoQiiBW/ytGYGJ9cKHQkPUqIrax6Pah\n3HHLFfz20o/o0RkTrv9TCjfccAPdOslEHBchrEal4JX/Xs4Tf7+Ray4qJ90lWPCxi649BvO7Wycj\n6x7CzpkISyw1SYrsxhp8v44DS7RdkggSTrraNIA25FZVNaqqqsjKsCNb7Fxw2TN89kKhaYFb44Ur\n7+nAm6/ccdK5FfW1VoSOpFcdF7f/+Pv9jCh4ggkjzMPNtfclMfv66+nd3WHiFkBSi7EFFqDLqbFJ\ngAgjaTXcev8mRHA908ZXcLjUxqsfZfDwvZMYOLDPMXHbWn5br6uTlS4hO7q0KrdR6DXY/PMRkiPW\nB6Ei6VUt5rYpv7WElhFx3cSpwk9ZOacYdrvC558fjr4OhzW++KKYnByHaaWdnGwlFNJYv74s+p7b\nHWLLlkqys822qak2KioC7NpVHX2vqMjHgQOeuNTTzEw7Bw54orsSALt2VVNRETDt5MiyRHa2gy1b\nKk1ZNevXlxEKaY20TSRychx88UVxNPsF4PPPD5sGTjAyZbKznaxYURjNPAFYtuwQ6el2086EzaaQ\nnm5n+fLC6Hu6Llix4jDZ2U5TlorDYcHhaA1urT9Kbq1W+YS4RYSxhL9AV3LMq0E5GUQIJbw+9p7u\nRo5sMdIjG9gKORVJr0BWd0Xfk7QiZPVAXG0RoWQiqweQ6lZ3ALK6q66wWoMIW0lGKNnIkS2m7AQl\nvB5EyJxNIinoSo5RW0SE+cWs2/njvKxorSaAXfvhi2/D/O4PL/OL6xbw9b+fBSEIhUI89rfb+Pjp\nMn4+WTBpDCx4pJayw9/wzeZidDkdS3h5gw7oWEMrEHK2KZMCyWGIwYU+Pyq3QkomEvaTluyL23VP\nSwFVjR1BnSpu16/7mmuuHM/0K/7GrDkv8/cnP+ayK//GJb/4CzffvYTi/UtBhDl0YAd9u8evgft2\nC3OwyIOQs7GGVphStyyhZehyunlnQrLx0YpD5CZ/xrx7K5gwAn55cZgPnijlnj9/hGgonHcM3Laa\n38oZre63Mb4+N09KACTLMXHbpN9K8YqyrYmTMjFZt24db775ZsK/nTt3noxb/Ghgt1s4dMgbfW1U\nhk2cI56WZmP79lhszq5d1U1Wxc3IsLNxY0ysa8uWClJSEqu5ulwWNm+O2W7cWJFQ4h3AYpHYuTPW\nhu3bqxJu6YNRAK6wMNa3gwe9poGzHrIsEQiolJcbyqt+v0plZTBh3ywWmcrKIH6/ka5XUREgGFQT\nVlN2OH7i9lRxW1+9NCHkNEMCu/5lZBeiiYrDQs5AiWyMvlYiWxBy4sBJIbtQIpsb2G5susqqZEGO\nxJ49sro94Za+AQ1ZLWTgwIGMPu/3nH9dKg885+Ta+5K46EaZ+Q+GWPp0GfPuOcgr/3yT5Z+8zldf\nfcWUUVU4Gv20c2b4eP+jL0Gy1KWDGgJwkl5hpLImqkorOer4rG9r09zaHFl4fDLhRsKdh45Aaqr5\nuK+1uV29+jPmPf4LnrpzO0ufruS0jnupLFrOW48U8fEz5dwwbQu/vvllKo5sZuDpY/h8fbxvr/nW\nQZ+euQYvImCk8QIIP5JeSaJK1e99tJYbLjcXeUxPhYE9g+zYXdKorS3n9r/Vb2O2BxNnzhwDt037\n7amNPzkmgbUxY8awd+9ePvroIwYNiuV7v/rqq7z11lsJv9OnTx/WrFlzYq38kUHXRTSw0NAYObq0\nP0AkEi98VQ9ZlkyDcDisJRxgwNBSabj61jS9WdtIJNaGhu2Jh4Sqiqhd87Y00FfRjxq/VN+3+u80\nhZ+4rb9v63IbrV7aVGtN7YsATajKSnID3QcwpLKbWi8pmKS0hZZ4oIe6lXNMt0USwqgOm7ANAMbk\nbMblv2L6OVVs3uHjqycW8+n8wmhhvewMePnBABf85jFuuPXRJsVZTdcV9Tw1MRhGoTcIVmye2+uu\nPpdf3reMJ+6sIivDUHu9/k8p/PHeqY3u37rcPvPkH3j7LxWkJIM/AOu2wsfzYmNY/55w3xwPL770\nAjfd/ji/uOxl8tvtYdRgCEfg6TdsZLftTLu2DVPhY/oqzQ2Gibhv+n+i5dz+t/qtQcjRHLJl3B6b\n37YOWrxjsmrVKrZu3crFF19smpTUQwjB6NGjTX/dunXj+++/Z+XKlSezzf/V0DSdrCxHdLDIzU1u\n0keCQZW8vJjaZ9euqYRCiR3F4wmb4gp6987E40lcD8HrjdC7d0yfpHv39CZtQyHNVAU4L89lEt9q\nCEkiGq8gSRJZWY4mZd7rjx3AqEXjcCgJHyxCCBwOJSqhn53tbHICoao/cQunhltdyaXJJ6YIoisx\nMTZh6YosQglNJd2DZomdfeuW3ki6pwlbL7qld/S1ZunepK0sQoi6aqrFxcU89NhKrr1xLnPnLcNd\n00jGXkhGfwAkCYerHWcM6YhMIDopqYfDDg6bnzPOOIOlazIINurWM28lM/WCERjy5g7qpciFnE2T\ng5xQEUoWzz8/jwnjejH+nIk8+Pd/o+sJfl8RZPLkicz41ctc89BQJt9YwL3PdOGB++fQr0+eybSl\n3B44VMkfH3qTX9/0DC+9OBefz9cibmVRQ0rdCcO+QhjQM368GzsUtm7bQXJyMi++uowPvjqDibNz\nuOjWXGyZE7nrlskNrC11PAGSy+Avgd9edMEInnnLvFVVXQNbfkiid49GxebquOW/0G+N9uZhEo0z\ntdfst0LJIioEF4eWcXtMftuKaPHEZMmSJUiSxJw5cxJ+LkkS77//vunvnXfeiX73JxiorjbLm6em\n2ujZMx232/wPoGmC2toIo0bFgpByc5Np1y7JpOAJEInogGRSMu3WLQ2Xyxo30AWDKsnJFtOAaHxP\nqrtODD5fhHbtkmjXLhapPmpULrW1kbjVtdsdomfPdFMsxdixeVRVBePUXCsrg5x+ek5U4EySJEaP\nbk9FRfw/YHl5kNGj20cHRKtVZvDgNlRWmm2NgNLgT9yeIm6RU9EtPY0CaQ0hNGS9Fs0+KvaWkoum\ntDOrTAIIg2vd1kCu29LNKAff+GEsggg52VS6Pfo9Yf7N0H1oSjuE0o6tW7dyw7VnM77/Mub+di89\nc5Yx85ePUlxinONLuhvd0hManPertrFIehWybMfbqMm6Dr6gHafTya13PsakOdksWCLx8SqYeZeL\nNh2GMGRQJ2S9HM02OjZSS1Y02+C6jJGG/TKCHi+54jl2rPsdb/ylhPcer0L3fcn4yfeZJycNuB01\naiyvvL6CNxZt5rmnbqdPj0YF5FrI7Rdrd3P7XY9z0ciNPHnbBtrxJ34xYxxV/s5H5TasOqgvfNy+\nDew5RBy274GO+cYAnpWVxX0PPM97r1/Lu6/9litnjIz6nqRVotlOJypwJklottHIekXcNS84tz3F\nvpH8+k9ZLP8SXl5s46Jbsnnw7p+ZdwfruFVtY2PvnSS/VVWNkBSTtD/ZflsPzT4KWa9ttDvTvN82\nlo8/Fm6b9Fu9Os62NdFi5ddHHnkEq9XKvffeG/fZ0qVL+e6777jrrrtM76enp/PRRx9RWlrKrFmz\nTkZ7/+uRk+OMU/Hs2jUNrzdCYWEtfr9KMKhischMm9Y1TiG1V68MSkr8FBf78PtVAgEVl8vKpZd2\niwuw7NUrgwMHvJSVBQgEDNvsbCfTp3czxSdYrTI9eqSxe3cNVVVBAgGjDfn5KUyd2sVU7M7ptNCp\nUwo7d1ZTXR2kpsaHJNno2zeb884zK6Smpdlp0yaJ3bvdeDxhAgGVSERnyJA2jByZa3qItGmTRFKS\nhT17aqitjRAIqGiaYNy4vLi02vx8F5omOHDAWyetriJJEpMnF5ik40+EW58vgtvtJzvbxeWX9zjl\n3Ho8Yfx+lVBI47TTMk8atx5PiJoaP1arjbPPzj8hbnVLVyThrSu/7kcSQZAsRBzxKp66pReyXoKs\nFSMJvyGHLblQky41PVyRZMNWO4CslSGJAJIIIORsVOd0kBsG9lnRLT2Q1d0ItYJwqAanXSDZClCd\nU0FSuO03l/L6g3vo0w2cDujVRdC/W4C5r5Zx/vgu6JbTUB3nNQqETEOX25DqKObZf/7AxJEqsmws\nMB9+MYXep1/H4CFnUdC5K+dPvpLvfpAoqUrh6pln87PzeyGhodrHodvMqZ9CyceICziAJAz5bwmJ\nr3cUsPqzl3j3CUFmGqS64Jwz4ZttYcqqbAzonUIkWIPd6UJLnn7SuEX3c+NvX+G9x9106QhJTujX\nQ6ddZhWLlumcNW4OsrobSa+q+x2CCEt+lFtVk/hg6TrGDQuR5IRVG8Drg751Gwm1PrjugRxuvesZ\nsrOzTdwq6m6EVkMk5MZhlxGO4Wi2kaYtF6G0QUhJKOoeJL22ji+D23Mm3UyHLuey7vtcHNmX8Pt7\nHie/Y3octxHHZIS1Cw1xIn5bXl7BLb9byD/f+pIPFr3E0qVLGTR4NGnpGSZuheYjHHJjc+ahJ1/W\npN82xW3M1omudELWdiLpHuP3JdSs3yrq7jrbAJKIoNmGHBO3if1WN9XlaW20OF24S5cuDBs2LGEs\nyezZs1m4cGFCEbWrrrqKNWvWsG/fvhNv7Y+oLrTTAAAgAElEQVQcRh2ZEIoCW7Z8xXff7WLo0IGM\nGDEiLk7A54vg8YRxOi2kpzcv/OTxhKmtjeByWRNqqDSE2x0iEFBJTbXFFd9rjKIiNwcPHua00zqT\nnt507QxdF1RUGHVlsrOdcVLwDaFpenR1n53tSFjxuB6RiE5FRaAuc8XZbCxFPbc2mxItHtgUfL4I\n5eVeKitL6NOnS7MCSa3FbWWlUd8nI8OeMMi1HsfKbVFRDUVFRfTv34Xk5KYVWI+FW0TQWFFJtlih\nsCYb7EMSHoTkhKZKtEdtPUii1qgoLJsn83v37uWJxx8mHApy7XW30rd3HsVH9tEurycOZ1ZdfzWu\nmN6XpU8Xx1164pxOvLV4XeJgwWi/dBa9/Qyv/3MeWekRKqqtnD/lF1w3+854PoRmBApSt/2doHJs\nzDZSZ6sg5BxuvvkGzh/wBjPMJUr4ejP88cW+/PO11ykqKie3Y7/mxbqOkdvy0gM8cM8lvPpgmekj\nIWDSTb15a9HaOlu3MTmUUuNq5Mx/6Uk+fO9FstIilFVZSUvLxO8rIc0FnkAat9zxCCNHjk3AgU44\nUMSRI4W0y+uHw9m0UuyJcNtsLMUx+q3Q3FxyyUX849bd9K+rC7ivEK6+r4C33/s69tvoHsLBSgqL\n3OR1PIp4XDPcNoakV4IIG4GzR/FbgwOtjq9mnjXHwu0pRIuDX71eL6mpqQk/u+GGG5g6dWrCzxwO\nB7W1tcfXuv8xOBwWbLYapkz5OYcPt8PrzSEtbS1du/6Njz56w6R+mpxsPergVo/UVNtRB816pKfb\njzrRqUdWlgO/347D0bwzy7IUtzvRFBRFpm3bltlarbJJg6M5OBwWcnNb5u7JyVYUJYlI5Oj8tia3\nLcGxctumjZNQyN7shA+OjVskB0LJPbodgJyMoIXXlVMRxD9z/vzA7/n8X/O4bZaO0w4P/H4pOR3G\ncOfv/wYNSsbLskwoEt/PcBhj8D5a7Q9JZtplN3LxpTcQCARwOpuZoEkKQmmb+LM4W6uJr+zsthwp\nizcrroDklLbocjtUIvEGjXGM3DpTuuD2xv/ven1gtzfwKTkdQeKJztW/+g2zfnmTiR9N0wiHwzid\nzoTfAYzdGzmHiAg2P3DCCXHbvO2x+e3q1RsYM7AkOikB6NIRZk4s4aMPFzH90pl1tqnosg2dpuI9\nGl63aW4b46iTp3pIcnxtnCZtj4HbU4gWT0ySk5PxeBIH7PTt25e+ffsm/KympqZ5B/0fQ1My3+Gw\nxvffV3HrrTezY8cZgLFtVlPTky1bdnPPPQ/x2GN/BiAQUNm6tYKiIh+SVMu//vUaGzduw263cs01\nM7jqqpnRe3i9YTZvrqCsLECbNk4GDswmJSXxQOp2h9i4sQy3O0xeXjL9+2fHFW6rR3l5gLVrD1NY\nWMqQIUkMGtQuTh21vr9FRT62bKkgHNbo3TuTbt3SEqav6rrgwAEP27YZ5/D9+mVRUJCaMKtFVXX2\n7Klhx44qbDaFAQOyyctLbpbb/fs9JCVZGDy4jam6ckPUc7t/v5twuIaUlDa0a5d4AGtNbr/9tgy/\nX6Vz51T69Mk8adxu3FhCZWUFo0en0bOnPXHGkFCR1T3I6g7AhmYdgFDyEq8+RRg58j2yth9IQrMN\nTqwcCSACyOGtyHoRSOmottObXtnrXpTIZiS9DCG3QbMOBDmFoqIiVnw8j/ULdax149nUcwSTrlvF\ndxuepnO7aWAfApIxSPbuO4qPV7/LpNGxQeLpt+xMmjAAObwJ3dqHOAVPg1wkrQglsgUIo1h7o9ON\nzz79lNfm/51QsIa27btx820P0bmgE5J6AEXdBoBm6YewFCTOvEjA7c0338KEcU8ya6pGZh0dwRA8\n+KzMvOevwB5+nzTFj6SfC3Q8adymK2Wkprdn7eYSzhwY2zj/y0spTJtRF0uou7GEN4Jwo8t56Lb+\nNC6KJ0mSUa9HK0cJf4sFP1alM7ponlt7eAPpSjGKOgJEA2E0k61+QtyeTL899MM79O8ePwb27x5k\n6ba6NOM6bu3hIlwySCIDaGIC3AJu61HPLfjRlc4t9lvd0tuIbzkJ3Ca8RiuhxUc5Z5xxBrW1tXz3\n3XfHdIO+ffuSnJzMunXrjquBPzZ8+OF+pkwpMA0I1dVBFizYTTis8cQTv6GmpnHBMEHnzu+wadMK\nCgu9vPvuXmRZQlFCPPbYbVRWjgYKABWXay2XXVbAo48+wM6d1SxZcgCbTSYpyYLfrxIO60yZUkCv\nXuY8+nXrSli9+ghOpyGm5fOp6Lrgkku60rGjeZt1+fJDbN1aic0m8HprsNlcOJ2G8mxGRsMiY4LF\ni/dx4ICHlBQrsizh8YRxuazMnNkzmg0CxuRh4cIfKC0NkJpqvO/xRGjb1slll3U3Dcy1tREWLNhF\nbW2E1FQbui7weiMUFKRy8cVdmuQ2NdVGOKzj96v075/FhAlmmeaG3NpsgpKSKhwOF+PH5zN8uDna\nv57bUKiaQKAcl6s9FovrpHGblGTBZpPxeMLYbMpJ49bphOpqNxZLMnl5qXHcotdiDSxA0mvrBKD0\nuqyCAlTHxaaHlqRXY/UvAMLGVjRhJN1fV9V1gqlfklqINfCusZqTko1tdBFAtY1Gtw832cqRnViD\nS9AlG0hJIPzIIkzEMYW77n2ZgbnP8+tLTV9h5Xp4+KVc3n31V1gsChHnJQhLR4LBILfd/AuUyDb6\ndfWwbpuF/E49eODeGch4ARuRpJlmXQmhYwkurhPMSgFkJN3DG4u/Y91X/+aRW91kpMHOfTDnoVzm\n/u3XdOmoRQWzJN2DkNsSSboMnz/C9u3badOmDZ06ZjXJ7cKlGn/98w2cN1LFaZf48N8yv7hsDLfO\nGUlEdeKuLiMj3YbsHHxSuK1wq/ywr5bMdJkH//oeaS4fPfJV1mxyMWj4NG7/7QPIoXVYwquju0uS\n8IHQo9w2hCW4HDmyFSEnATYk4TkqtxHNQXV1DZnpFhRbOhHnTJBdDWzDWP0LkfTShNyaBuZT4Lcb\nt1Xz7sLneewuc1bXX15Moeuw5zl/fOeo36qqlZrqI8YRt2squrWX+XdoZW4b+q2QXSfMrSWwCDX5\nKk4VWpyVM2zYMI4cOcKXX37Z4ot/+eWXFBUVMXz48KMb/4+gqKiW9etLo6+FELz99h7sdoXMTEez\nR6KRiM7ixftIS7ORlmbj66+XUl09COiMkXRupbZ2NB9/vJ5Dh0pYsuQAWVl2UlNtWCwyqak2srLs\nLFlyAK83lsJaWupn9eoj5OQ4cbmsWCxy9B6LF+8zZZTs3u1my5YKsrMdOJ0WLBZDQdRuV3j77T2m\ntNT160s5dMhLdrYDu13BapXJyjKKkH344X5T31asKKSmJkx2tgObTcFmU8jOdlBTE+bTTw+bbD/8\ncH+0NozVKmO3G7aHDnmb5dZiMSZohupqBbt3xyLzG3Nr2BrXXb36CKWlsYeR1xvmgw9+4P33/8a8\neX/hpZc+5Nln7+Ozz57no4/2nxRuk5IMbjMzHSed23rbRNxagh9CXY0NJCtIdkORUj2E3FAVUwgs\ngbcRkj0msS4lRdUr5cjuBrYRrMHFCDkNIacZtrILoeRgCa9G0mK/GbrXeLjLWUZciWSp2xrPwhpc\ngtDDCf9H6uei9fewBheDiOBwOHhm3rv87t4XGDB0Go/+7S4evO8KJNmKkDMRkh1L4G1T6qQcXo+s\nHqpT/LSDZEUlgzcWruS5PxiTEoBeXeDJO4uZ+9yiOlubEa+gZIOoYf4zNzHr8qF8uWQ6jz14Lr+8\nYgzVbl9Cbqdf0IkvN5TQZ+Q8cvv8gy+W388tN0yMcqvjQMgnzq0l8BH3PvwpN93+LF/++yUe/usr\npKenc+N1l9J3zEs89eJX3P7bB5C0UmPgVHKMAU2yxHEb5Suyu4FCalKdbcu4FRi2IOp8r6EvrgBR\nk5BbS/DTU+63gwYUcKQ6jzeWKmia0a0lKxVWbu7C2ePPjPNbDRdCysQaXAJ6TJzwVHFrHGtlnTRu\nTyVaPDG59NJLEUJwxx13NHmk0xBer5c77rgDSZK45JJLTqiRPyakpdnYuLE8+rqkxI/XG4kGLbZv\nnwscMX1HlvcwcuTp/PCDG00T0R2B3bu/Q9e7xt2jtrY9S5asw2aT4442JEnCZpNN6qRr15YkjJOQ\nZUPUa88et8k2MzN+a9JqlfF6I5SUxAbwjRvLycyMj6lwOCwUF/ui+h6RiM7u3W7TKr8eLpeV3bvd\n0QHc4wlTXOxLGBCakdE8tw2Rmelg7dqYSmRjbhsiNdVmst28uYIVK15i584cPJ7pBAJjqam5nG+/\n9fPNNx/+13KL7kHWihPGXgg5o67wmwFJL0HSvQnjA4SciRJZG+ur+gNNiUoJORUlHLNVIpvrdkoa\n/Q6ShC7Z+M31o3n2LRm1wfG9EPDXl+DyS+tSPSU5uq1fj4K2+xk5YhA5Wa5G17Ui6V4kPfb7WiIb\nEUqmyayiyken9hpyoy707QGHi+LTLv/9xWF2ffcBy547wn3Xu5n/pzJ+N2svt//fmwk4MLi1WCxc\ndtllXH3l+ThtoVbh9oXXNpCbupH3nqjhnusCvPV3DxOG7uCNxd8weqiD9HTj+EcJrzVLptchGNL4\n51tfc9P1U3jwj7dy4MABlMjauslFI7SQW8PWYfhevb6HiCCru82r/GinXcZn9QN4C/x206ZN/P7O\nX3HLjRex9JMN6CLB0WgLuJ33xHXsrxrPpBtyOH92O77Y+yteenUpNn1bs35rUn5tgttEfvv/D7ct\ni407WWjxxGTkyJGMGzeOnTt3Mm7cOJYtW9ak7fLlyxk/fjy7du1izJgxjB49+qQ09scASZIIhbTo\n6tftDpl8+fLLb6Zt28+x2b4A9mK3r6Rfv+089NA9VFQEsNtjP1nbtnlAKY3hdFYhyxkJq+cCJCVZ\nopLl9W2w2xMHsDocssnW71ebFOGSJKKaIUKIJgXL6lFbazh/IKA2q2Sq64JAQI1+pynTo3HbEIoi\nRaXYgThuG8JuV0xaKGVlAfbs+R5VNcdVhcNnsmnTqv9abiVRS5MrI0kCQtEVmqS7m854kBQkPTaJ\nkvQKRFMPNslu0pSQ9DISVXg1PkwiPxdGn30VI2ZKvLsMPl4F518rYXd1YeyI2CRdSI6YBDcY7Wkq\n40CSYm0QwuhnI6SnOjlSFu8fxWXgcsU/4F9781P+eEPQRNHQvkCklIrKRskAp5Dbpcs3c9PPzYJ/\nl0xQ2bhpTyO+3HGDUa0vxIxZ/8AaWs7fblzHtGHzufu2Cfx75aYT4tZkLuq4EQGQmlmlS7phw9H9\ndt4rnzH/qWnceMEiHrhmJbu/+5DZt7wQ/3/RAm5tNgu33jiZ9978P95743f8/p6/4nK5juq3R+O2\nHifbb03mJ5vbVsQxRbO8+OKLnHfeeezZs4fLL7+c9PR0BgwYEM1Rr6ioYMuWLbjdRsn2Ll268OKL\nL7ZKw/9bIYTAbleiOxnp6XbTQJuSksmddz7F999/RWHhAbp0OZeHH74SWZbJzo4QCunUJ+eMH38x\nW7bcg8eTCxhBU7K8l169XPTp041Nm8oTrtb9fpWePWNBVunpdkpL/QkH0GBQNwWKJiVZUFU94QAq\nBNGsE0mSmhyQ61G/inc6Lc2mo8qyFA0UdbmsTT6zj8ZtQ2iaME3csrOdJm4bIhTSTJlCOTkONC3R\nJEZBVYWJr/8mboXkgqb0uoUA7NEBU8jpNEmu0OrOw+teytlIIpQ4Y0SEEHLbBrZtkP4fe+cdH1WZ\n/f/3c++dkklvJKGEDhHpTZAiIthQxIJ97b2LdRXXtqiru/bV1d2va0NBRF1FUZdlI+AqICVKryGQ\nTpJJMpl22++PO5nJZCaQKLC6P8/rxSuvGc48c5/Pc+Zp55zP0UtBxDlRml5MqT8PP/oMW7Zcy7NP\nXo8a9HDXnSczenh+FF2BMP1Wumi4XVcogC8ObqZp9QdC/YtdNBwOhSFDjua1D1ZyxVnWRi4YhDue\nSuDqq06J0W/0eMmME3uanWHS0Ognq+XNzRHEVhZaOGi4WYQAu6JjiKwWumkIozJqAf3bG//i2rMr\nOftE64YtJwve/1MV025axKSJAxFSvADLg2MbpR5iHEUk0DYXO2BKNAeKHshua2s9/HPJKha91Bie\nN+6/NsjvXtjNv5dtZfJxLWI/DrPdRnRjsW2WQ223UeqHGNvDKR0q4peRkcGSJUuYOXMmQgjq6uoo\nLCxk4cKFLFy4kMLCQurq6sLum3/9619kZh7ZqoQtpbGxkfvuu49BgwaRk5PD4MGD+d3vfkdTU9PB\nP9xCBg0aRHp6etx/p59+eofaqq8PMnx4xPByc10kJ9uiYg1kWWHw4ImMHj2TK6+cgRS6P+7bNw1Z\nFmG2z/T0HC6//Dby8v5BUtI8cnLeZdq0eu666zpWrvyQjRu/QdejU9ZM0yQYNBg6NDIJjR2bG5c2\n3TBMFEXQp09alG5tbSyLqKoaJCfbophMhw/PprY2dhfv92vk5SWGN00WCVla+JTfUjwelX790sLu\nmJQUO3l5iXGp2+vqDo5ts9TW+hk7NhLQ2hrbltLQEIzSHTYsm8REO9A6Db6CzMycXyy2SCkhyu7Y\nZxBGHZptePi1KeVaAXat2SsBYdSi28ZG+qr0tSbWVoyU5ZX1vP72Ut7+YB9ut3Xy021Dkcxg7MJs\nmkhm0MrOAQoKCnjlr/N46+VzOfaYVu5M07DiMlqwbeq2sRYrZmsxVUwpGVOKjK9mG47QY3Vn3zWN\nHdXjmHJNV86/O5eTb+zFjLOvYuzIyAJVXlHP63OXk5KcxCeF0dNrMAgbdtjokR993d6Mrdvt5p13\n3uCNtxZRVm3+JGwt3QZ0e0RXtw0lNzeTTTui9aprQbEnRbHE6vaxMbTpX3+zgRknRH9PghP6dzfZ\nWxId1wR0CFuLDj4vwlcTIiHDiEM1YXis/2t2dR3Abv/z7Q+cPskXc5g5/xQ/S/79XdR7PxXb9tgt\nxMfW0j08dntosD3wbcyhlnYzvzaL0+nk9NNP57zzzqNHjx5kZWWRl5dHr169GDVqFBdddBFPPvkk\nl1xyyYGJZQ6zeL1eTjnlFBYvXszo0aM57bTT0DSNefPm8dVXX3H++ecjy+0jk/nLX/6CEIJZs2Yx\nfvz4mH+DBg1q93OVl3s5/viuESpmIejdO4V16/bj8VjxEH6/jtsdYMiQLEaPjkx6sizo0iWRdev2\nEwgYKIrA4chg4MAp3HzzTB566Creeus9Xn11FV9+qbF79za+/fZt+vQZicuViMej4vFonHZaj6g6\nMVZQpmDz5jpMk1CGh4rfr3P22b2jskEyM500Nans2tWAaRr4/X5UVUYIiQsu6EtCQuQ41rlzImVl\nXsrKmsLMmfX1VpbJzJl9orJBevRIZseOeqqrfSiKhK6buN1BMjKcTJ/eM4p3o2fPFH74oYaGBhVF\nkVBVHbc7SPfuKUyZ0u2QYCtJJnV1XoJBiUmTutK/fyT63eGQ6dq1F0uWPEcwmAYkIsR2UlP/zUsv\n/ZH+/SPcCD8WWyFElPvmUGErSSZNTT6CQZmsLFcMtobcE1n7wZo4hQKoIfrr7uiOKREXgxCYSm9k\ndV3outcG+C1d2xB0x+iI0QsZQ+pi6RIAFP72+he88uq7jBmwBeH7ioefeJf0zO707jsIU8pAUYsw\n0QAZTA+S6UF1noaptKTFT8JEQdY2Yxo6Pn8Al0NDFkHUhLNBjoyZKWcizCYkbVeoDwJhuhGA5roA\npIQWup0RRhmSXhaKLzARRj1CdjB2ykOcc/7NHH/i5fzmspvpUzA+xJ5ZzauvL+evf5vH2KPWk5te\ny8MvSWSkSvTsarJ1N9zwWBZXX34K/XsmxGC76F8eHrr/Ao7p+SFp8pc8+dJmGhsDDB+UgWHIBPz1\nJDgC4Bh2UGyt6rFuNPtxmLYWpBvCwaCj+3HjPYvJzQqSl2UV3rvl8WRmP/A0nboMjoutdZUv8eni\nVUw5pgFXq4zWNxelcuppF5FkL+0QtoYBfr8PlyOAJCdYzL4tskEMpUcYWwsv3XJdSBloCdOjbhHa\nstvy2kR2bvueiSOjF9ZNO6Dcnc/4sQUdstsDYdvSbg1DEPTXkODUMVzT27TbZmyF2YAw/YfFbhH2\nn4ytpG3GsEc2V4db2p0u/EuTxx57jKeeeopZs2ZF0eg//PDDPPvsszz44IPcdttt7Wpr8ODBCCEo\nKir6yc91IB6TTZtq2bWrgaQkG8OGZR+Ua6O0tIm0NDvDh3ciLc3BI488yQsv7EVVW0wwVDJkSBG3\n3voE2dmHlmvj229LKSmpYNSongwd2jaPSVlZE+vXt49ro6SkkaIiK5hwyJAs8vOT28VjMnRoFp07\nt81j0lFsm3lMTjyxgNzc+GXHt27dzUMPvcCOHTsZPHggv/vdTXTvHp+wqaPYrltXjcej0qtXCgMG\ntM1j0lFsv/uunJqa/Uya1I++fbPayWMyFFPuHD/uwQwiqZuQ9F0gktBtww7KB7Frx1rmzHmC+X+s\nDzcZDMLJN+Tx5rxVJCcnt+AxqcaUssM8JnHFcKN7vqF2/y7SswejJI3kgHwQ6jowPRhyLwzbANrm\ngygLBS0enA9i59bl/OHRi5n3VMRlUOeGiZcn06fPUXTu0p1LLr+Dgv59YrCtb0risovG8PlL5WE3\ni2nC2bOyeOiR58nPbaCq2kda3hQcrp/OY1JTvYe3XnuEDRu+p1fvvlxyxYN0ze8fV7cl18bnS/ey\nYsmfePquhnAf12+B378+jv9749MOY2t4V7F/fzlpncZhSzwQj0kJsmbNvboyBFPJp308JkPRyOGs\n6aN478nddApd3qsqnDWrE489/hy9uvrabbcd4YjRAqVUVENG5yk4ErLa0O0gj8lhsNuOYPuz5DH5\npcmAAQPweDxs3bo1iuDN6/XSv39/srOzWbt27QFaiMih3JgcThk16iS2bz+L1h66vLx5/PDDFyjK\noTUsv9/P3r176dat23/1duxwyP9q334O/Xr6jw9yfN/nmDQ6+v1XF9hx5r/KGW2wSB9IOtqv4uJi\n3G43AwYMwG4/WCkBN7t27aJbt25kZ8dfvP745GymFrzIxFHR7/9lvp3EXn9j+vTpbbb/wcL3Mcqv\n48qzo92T//oGvt5zB9def9dhH7OysjIqKyvp169fFMN0a3n+2UdYuXwek0Y2sKs0gb3783nuz++1\n6bI3TZOtW7eiaRoDBgwIu6Wh42NmGAabN29GkiQKCgoOXCahhWzdsoV777yIUQNqSU3SWbIymSuu\nfYjTp89s1+d/jPwcfme/ZDlyW6AjKDt37qS8vJwpU6bEsM66XC6OOeYYli5dSllZGZ07d25Xm8Fg\nkHfeeYeKigqSk5MZPnw4I0aMOKTP3dF6LvX1QVyu1rVy4gVOCkpLPaSnu9pVz8Xr1UhNbV89l+rq\nANnZOgcsB3EEauVkZSXEP/2HpKPYVlV5aWg4OA14R2vldATbQ10rx6qgWoUi9oN5ELuPqjmSFf8U\nFdbtaM2ReuINqyIbGEaLbKMD1MppLcJwYxNVYGbQJtMmUFlZyR23zCQ3vYycTJ1HihK5+LJ7Oeuc\ni2O7Zeg88ftb2PTDEoYfFWDTrgRSMkfx+FN/i9nMmIZOPM+wIhuYRqsYhVbYGoaBLMeeD2UZDCOI\nZFSg4KZN1tdmMZoQZj2mcLW7DlFjk+DOWdcja1vo3S3AEz+4mDT1N1x/470tdN0I04spUrnltt/h\nvuwWioqKmJibS//+0TctLeu5bN68i9n3XsrRveqw20xmb0rm3tl/ZszYcWAaSEY1NlENZi4HGjNM\nnbWr/8mjD9/N8KOa0A3B99vTeGjOawwePLiVbqzd9i8o4INPvmP9+vV4vV6uumckDoejw3bbEWwl\nowYpJgYtnm4E219r5UTkf3ZjAlbhwXjSq1cvli5dys6dO9u9MamsrOSmm24KvzZNk+HDh/N///d/\n9OjRo93PtmtXfUyVVl03WLJkH5s21YaDL5OSbDGxIGC5JT79tJjduxvCcVYZGU5mzOjJiSeOZ/fu\nzWjagBaf2I/N5mDBgt0IAXl5iUyf3jOG16Kuzs9HH+0OB18KYcVyTJvWI8aNUFrqYdGiYurqfDQ0\nuPn6ax+DB+cwZUrXmI3Etm11LFmyL5ySKsuCESNiK+ACrFtXzYoV5QSD1uJkt8uMH5/HsGHRp1TT\nNFmxopw1a6rQdQuEhASFqVO70bdv9KTxY7FVVQ23u541azRmzoxmXQUrcPTjj3dTXt6EaXLIsW0O\nVpUkwYABGT8ZWym4DiW4Akn1kqXU4wp8C/KkqIDHELjIwRUh+uvQJkEkoDqmYtr6ttLVUQJLkLRN\n1mQIGFISmsOKBSkrK2Pumy+yb+8ORow+nvNPSyfJXsaZU508/ZyLCSMjqZm6Du98nsVrb0+xmCb9\nH1v8CZiAwJDz0JzTw9wLa9eu5f35L6EGPJx+Yj7HjckgQ2nA5V+BRD8057SYq26hlXLHjSfy1O2l\nFPRq/t46LrznIfoVDI0qqyHUbcz9+8NkyF/y8fPNG1Q3C774nCcfv4fZDz4The2ZU2Wef9HFuOGR\nPmkazPsym7/PnXxAbKdMOoarr8ymf48K5n8GqgYzToDXPkrm3rsMnIH5ZNncJPhXgTIjOl4BwAyi\n+D9F0nbTnNppShloCTOimUEhBtvf3fMe156+nUmjQ58z65j11Mt8vnggp5w0DsX3UYvgS4Gh9CQt\ndRrHHXdcDLZKYBGS4cEEgqrJvbNeYcGfqskOxfp6mmqYfutVvPb3N8lxrUZSG8lU3Lj8/0FIsdWF\nm7H11izhkd89zz9eaCQl9JOtde/nzFkXMf+DVdbh8yB2K4Rg2LCQrZs6iv+LNu22NbYlW/7O3Lnv\nUV3TwMRjj+KM0yYgpZ5zQGwlTSXbVo8jUAD2s2M4Q4RRFxfbtuy2JbZWlegBaI4pMRsJoW7DFlhC\nc7ovyOj2EW1iqwRXgBkKzhd2NPv4uE4MTjYAACAASURBVHOCFFyJ4RjDkZIOZeX8UqSZAK6tooPN\n77eHKA7g4osv5h//+Afbt2+nrKyMZcuWcf7557N27VrOOOOMDmX5fPppMSUljVHvLV68h82ba0lP\nd5CZ6SQz02IpfffdbdTVRUeaL1iwg7KyJjIynGFdTTN4661t3H77rQwevIuUlGXAbmy2b8nMXMQV\nV9xJVpal29AQYO7crWha5BTn9Wq89dY2NM0It5mR4aSsrIkFC6JD+Ovq/Lz77jYURSIz00Fqqp20\nNAebN9eyePGeKN2SkkY++mgXTqccbjctzcGqVZWsWBFd8fWHH/azZMlekpNtYd3kZBtLluxlw4aa\nKN0VK8pZtaqStLQIXk6nzIcf7jxk2GZkOEhLs4Wxbcl5omkGc+dupaEhQGam8zBha+mmp/90bCX1\nB2yBJaEo/gw0MxVTJGELLEFSo0tMWJP7Kkw5DVPOtP4JJzb/hwitJEpX8S9G0jZjSumYciaGnAko\n2H3vsmblEm65djKTC17isWu+JMU7mwsu/R11Hif9CwoYMGgcF9yVxJdfw0f/kjjt5hwuueJBUlMS\nLWpxsyH0/VmhAMAGbL65YGq8+Pwc3nnlHG6Y9j73XPA53y57k7sf+hzNSMGUMhB6GYpvQdSzCqOO\n3T+8QNdO9eFNCVi3Er+7dj9z34xsNIRWgs3/ER9/9h23XRx9a3bOiUHWrv5nDLZHHdWHfkcdy4V3\nN/cJTr8pk0uufCg837SFbSfnv+iU25fn3xJccy7Mugw+KYTq+gT69u0bGrM0QMbue9c65bccB98C\nhF6GKWeE2wUNm/ctMFvQp5taFLaeQDLVVZXhTQlYa9eD19Xz7ttPW59Hizyr3Da2dt+7gIIR0v3y\nqzLOnOwOb0oAkhLh+plVfLzgCUzhDPfLlFKRg6uQgyui2m3G9sPFW7nyLG94UwKQkQYXnFTNF59/\nekBsO2q3rbFdumg2993/KDPGreGRa7fjqV7MxVc/h1772gGxNaVMdDMNqYXdRnS9PwlbU0pH0jaj\n+BdH64bs1hTOFu2mHRBbU0qO6ErJbc8JavvCHg6V/KxvTO6//36CwdhUy7bkhhtuoGfPnof8Oe6+\n++6o1wMHDuTll18OUZ6/xxtvvMENN9zQrrbS0x0UFpZyySVW/nxDQ5CtW90x7gVZFiQl2Vi+vJzp\n060+lZc3UVHhjdG12SR8Po2tW5tYsuRDCgu/4qOPltHQcDTjx9+KokRO8E6nQm1tgB076sM1Xdat\nqwbMGDdAYqKNigovFRXecKrq8uXlJCXZQqm1Ed20NAdbt7qZODEYdmkUFpaSkeGMcbFkZjpZu7aa\nMWNysdkkTNNk+fJysrJiryebKeGPPjoDIQSqarBmTVUMBpIkyMhwHhZsNc1k3bpqxo2zAlt37KjH\n41FjdA8lti3lp2BrnSSXY0ixAXiGlIUcXIahHG2tSKaKHFwTWthaiJCsjINgIaoSquNkNCBpW+Po\nyhhSEn947FYWPl0RXkwunaGTl13Fn1/9nPvvOotbb5jGruJj+Ozzr5GdPXjuL/eSk5ODpG6x6p3E\ntOtE6LVU7fuW775+kw+eqQ0fAOfc6ufWJ7ZRtHEIkydmgpSIrFeg6xUYUg6vv/YCH3/wAkF/E+OG\n+mgtXXKgdn+EbVkJFmJKGUjotA4/EQKcdg3DMJCEiML29ptOY+fuY/j0izU47DZeem4gGd1DRX0O\ngG1ZlYy/oYgFT5vhPj1/P9z8mIe1RSUMHpAXha0cWG5lTgBCL0fWK0KLa8t2baGgzXUYjnEASNqO\nKGw9TUEy02JdSKnJEPTtj7TTUlpga8pWqqocWI4hJUWd3mvqPHTpFOsK7dpJZ8NaNeQajLjtTDkT\nObgW3T4m9OwRu62tXU3/PrGEgl07+dlWU3FI7bYltkZwHy+8NJ/Ff/HgCNnBjReoJCaU8/aC1Vx2\nxZg2sY2060QYjUjajnC9HCm47idhCxYXiqRtBWNi2M3ZbLet3a4Hwra1tDUnGEe4AvHPemPyxhtv\n4PV6D64YkhkzZtCzZ8+D3ogc7EalvXL55Zczf/58Vq5c2e6NiWnqVFX58Pl8CCEoLnajqiqqGuvb\nk2UoLnbj91sn+82bq5EkA1WN/cEnJAg2bdrPiBHpHHvsWPbvz2P/fj+mSYy+0wnff19Jjx5W/M2m\nTftJSBBx25Ukg02bqkhLs34oxcVuEhJkVFVF06zJovmvqqoUF9fSr18apmlSVeUhNdWOqsZOKn5/\nkNJSN7m5LjwelaamADZb/BiNpqYgNTUekpKsxTwQUFHjlLMHDhm2LfuWkCCHsQULu7bwOlTYtpYf\ni60wPUjBJkzJFuqPFvVXGE0EpBpMkYRkVCBpAUwjfmyNMKrwCx8IgawVI2lqXN1ad4DMlIaoEy7A\n1GPh2blb0UL9y++SynVXnooJ+B2p+P1+HMHvMY0EaNWuquos+fcuFv3zC845oSomQejCU7y8V7iB\nicdak/+GjVWsLHqKjdu85Dg+4Z+veAiqcMaNYBhEUcsv/KfMuGPHWrZgmhRv28JX35RhCiebdsCA\nCK0ENXWAlEYwGIzBFqB71zRuuPKEEF5ufP6DY7ukcAtnT2mI26dPv1zNgH6nAs1jpoBZjF9YdmtT\nNyN0qY0xS8DUN+E3rVi41thmpDooqbDjD4CzRZjav1fBwAFdUPUE0ONwqZgSmncTqs1ymyYEikPZ\nJBHdY0f15g9PJXPOSdE3mO8vcXLKaYPQVDWOLfoJ+koxpNwobMePOYoF81Zw/DHRa8HCpZlcddsk\ngr7SQ2K3Vmp6BNudG5Yw7Cg1vClplgtO1Zl550YuubBtbKP6JjsxfN8T0HsA4AxsQuXHYxvpl4rq\nLUZX+lnulkCVVS8prm58bOPjFTsnGGYsb9ThlJ/1xmTfvn0HV4ojvXtbhEu7du2K+//N7zfr/Vhp\njkTvyOaprq6e+npfuG9VVV7c7nqEiD3JAQSDBnv37gWgttZNbW0DwWDssBmGic0mwrr19bXU1ASw\n22MX8EDAwGZzsHevHNZV1fh1YhobNerqTPbuVUO6bny+6DabN3r19SrV1ZUkJFiTkdtdj67HN7H6\n+iAVFeWoqh2/X6eurg7DiL8xaWhQKS8vxemUqakJUl/vBuLrejzaIcW2oaHhv4pts/xYbCX8dLLV\nobUiiWoeM0U0ULW/HAMniqghU6lHbyNPT8ZDpWZh6xBVpCtutDgMkj6fSoMnthGvz4qAaMnQCgYm\nNmo0C9tUuR67qMFsMb679tTw4Jz3OHuKh/w0jfLY0jTsr4OkJBe1tW7uf2QBWSnlnHSsD7dL8PUa\nk4r91s3IhafBpb+FB2+A3Cx47wuZ+V+m89jjoygpKeGVlx/Ht/9zzpnq49iBMufcKnjmPpPjRsL6\nzfDAiy4uv+569u7d2ya2zdJebIXQqamTaXmDAFBdBzZFCo9V81+JIFUhvBKlWpKkWnTi3SwfHNvL\nLz6ec27/jDm3NNGvB3y+QuKPb3XhhT+MpbZ2P/G8/TKNeIw6mgyr3U5KPQbRv7GUJMjI7s09f9rE\nbb8JYrfBq+8nUF6bQ+8eyVE20NwvWdRTo1WgmWoUtvldXDQE8nn05V1cf34QXYcX3rFhOkbhcDgo\nLas4JHbbGlufP2BtRFtJjRucTpna2voDYtvcN0GAoGmjXrd0M5V6BOqPxrZZFFFPnVZNwLQOQTmK\nG534pSrawjZ+u7F2a4gE0n7aOb5D8rPemPxY6d27N3l5eaxcuRKfzxeTLrxy5Uq6d+/e7sDXtmT1\n6tUA5Ofnt/szCQlJDBqUQbduVoR9To7OunXBVpk1ljQ0BBkxIpNu3ayr3JSUHHbu3Bq3eFtNTYDJ\nk7vQrZvl1J08OZ0FC3a3qXvCCb3o3DkxpJvIl1+WxtWFABMm9Au7EMaOVSgqqiElxY6m6TQ0NJCS\nkoKiyEhSkFGjIuRegwfrVFb6cDqjbywMw8TpNBgypFc4SLNnzyCaZsRwcFixGTJ9+/YAoEsXk5Ur\nAzidcsxi7/dr9OzpOiTYtuxbfb12xLFtLT8FW6e/JwKLh0DTtMiYyWCKTGyOUFCr2YWEwErAGZuF\nY/oxpJ7Y7aHMEDMHl39dhBK7hQizgbTMvqz8fj3HDI6sFk+/6WDmjOPIyIgEHgijhoBtMq5QqXdJ\nn4wzuCCqcNl1t7/Oe390k9cJAkE4+Wq46mzCE2UwCM+/k8yjDwzlo0+LOGFkCdeca53wpk822bEH\nbn8C3nsGLjsTju4DZ99mp0+vPCZNHMrcVwswUsdRWLiCDOVfPPmktRCcOVXnvFPgnNud9OrZid49\ncnnmD+PI7n1uOJCwJbbReGntxnbGqQOZeWkhv5leS2qIqiUQhBfnJfPSM8eRkpIQHjOb7EWVR+Cw\ndQvhl0JCYGfcQm/twXb6qaMp6NeDv839jL0VMsNGnsjrb19DumsfDvXLNtoFh3MCGSH6dZs6Fpte\nhNmKjv33D1zI0sI13PFCGaqmc/K03/DiLQKFahDOVrYoAU7sjiFxsX3q95dw94PzmHz5ZkAw5phB\nPPr4q1Z21CG025bY5neZQe1zz7Jtt5d+oQgB04Q5ryRw6fljSM5uG9uWfbNJ9fjtJ5AiW+uNrE3+\nydhauhI256hwsKwjOBjJqIzN2DGNA2IbrRvfbk0Rn8vpcEmHmV9/KdLQ0MC///1vDMOIiiCfM2cO\nK1as4LbbbmPMmEiUsaZp7Ny5k8bGxnCFTYDt27fjcrmwtSowsW3bNq699lq8Xi9z5swJL4YHkzVr\nqjnjjD4kJTlQFAWHw47drrBlSwMulx1FkZFlGb/fwOGwMX16b5xOO4qikJTkwO/X2bOnicTEiG5T\nk05WloupU7tjt9tQFIX09AQqK6103sREG7IsI0kS9fUaPXumceyxnbHZLN3s7ESKiz14PBoulx1Z\ntphc3W6V4cOzGTSoE4qioCgKnTsns2mTG00zQ7EtfpzOBBoaDCZN6kqvXulh3a5dU1i7dj+yLOFw\nWM9gmgK3O8j06b1Q1Xr27dtHdnY23bqlsmbNfhwOBbtdQZat0uIej8bZZ/clPd2FoijYbDYyMxNY\nv74Gl8uOzWbpqqqJpgnOOaffIcFWCPD5/Oi6jZycpCOOrdNpCzETS9TVqR3GNicnOawrlM7Y9TUI\n2QHI+Hw+El127LIXw3U2ij3Urs2GkDOxGeuRZBeSbEOSZSRJRZY0jMRzUGxJIV0HQrJjN7YgZBeS\nrFi6wo8kOxgz5QHuf3wlX60KsnMPPPX3JJLT+3HDNacgK5auLJoQShYkTkWxWeMg29KRqUQxq5Hk\nRErLG/hh3VdcdLp1I6DIMKgfXHE/bNwhs3azg4dfTuS6q86kb+9Mnn7xU/54pycqdTcjDV7/EM6Y\nDHY7SAJWb+3Om6/ezMhByUhJk5GdvXjmT/cw+4otUS6ozHTYudfBdddeygVn9iM591wUR05cbCXZ\nHsJLRxGedmPrsBv0HXIt193zDdv3aHy9VuHRV9K55doTGDqkDyDw+XwkuUC2uTATp6PYnKF2k5CF\nH8XcgyQnhsehPdhKIbvtlKFxwtSTOeO8Jxlz7HEkJiYi27JRjGJk4UFSXCFdgYwbHMOREgaFMZDs\nnVGMTUhCQ1KcIV2wCTc9Cs5i2ll3Mn3GRQw4ehCSvRt2fS2SLANKyBYd2OQGDNf0uNgi2bnypr8y\nbex2Xrhf45qZOjU1NbzyxhpmnHXxIbXb1thOGN2JWx5YxdpNsGmn4PevJjF02CjOPWfqAbEF8Pm8\nJCWoSM7eiIRjUUJzwqHAVqEOwzkJ2dkrgpetaxhbSXaEdE1k4W4T2/bb7UYM+zHtWuMOhfzPEqx5\nvV5OOukkNm7cyPHHH8+QIUNYv349//73vxk5ciSLFi2yctlDUlJSwpAhQ8jPz48iUnviiSd46aWX\nGDt2LPn5+bhcLnbs2ME///lPNE1j1qxZzJ49u93P1dAQjHsi3rbNzfLlpTQ2qggh6N8/jYkTu8St\nEFxUtJ9vv63A69Ww2SSOPjqD8eM7xwRYGobJqlWVrF1bTSCg43DIDB+ezejROTG3DcGgztdfl7Nx\nYy2qauByKYwZk8uQIbEBUl6vxrJlpWzcuJ+6Ojddu2YxeXJ3+vWLPYXU1wdZunQfJSWNGIZJZqaT\nIUMSuOuuOyguDqLrSSQklHHPPddz8smns3RpKWVlVpZT586JTJ7chezs2KqdJSWNFBaWUlNjVXDt\n3j2FyZO7kpp6aLBtaPDj8dQzblwvjj+++xHHdutWqxBmcrKNCRO6tBvbSZO6kJ8fy5Aq9GrkwFKM\nQAnu+nqS0wuQkk6Ky3YptBKUYCFCr8FKY+yO5pgMUuypSVK3IQeXI8xGS1fuj+acSHOl1W3btlFa\nWsqgQYPolFqKHPwWYXoBG7rt6FAaYytft2kgBVehqGspLqnguedf4y8PRnNCNHrg1Jv7cc/9f2Ds\nEBW7sRG3ez+nX/A31iwIxHCKnHAZLHwe/AG4+qFE7pl1AcOHHYVun4Bh6wfA9VefwbO3fhVmCG2W\ne59JYPrZNzFwxG8sZsw2sJV0K4DWkDujOyZ3CNsvl6xk9j0X0aurik2BrcUyN95wG1dd2Bk9WIfb\n3UBS5kik5CnEq2IrqUUdxtaqRutAsw3HsI+Oc9sQRA5+jaxuBFRM4UK3j8GwDYn5fkwvin8Zkr4V\nMDFFchS2UWLUowSWYvh34q53k5LeE5E4tU1svyn8C8uX/Jnf3xKdRXfbkxmceekHDB069IDY/hi7\njXqG4Ho2rf+Q/ftrGDGkO8lZIw+KraY2Uef2kpR1PHLS+COOraSVAAamnIlmn/ST7RZtHyhdY98/\nTPI/uzEBq4jfE088wccff0xVVRU5OTmceeaZ3H333THshiUlJQwdOpT8/HzWr18ffv/rr7/mtdde\n4/vvv6eqqgqfz0dmZiYjR47kqquuisnn/6nSFmX9z1HX7/dTUlJCfn5+u9gNm9s98cRzWLVqENDs\nSjNISXmT0aP7kpqaypVXnsfYsWPb9QyHCwOfz4oDag9z4397HDqi6/f52LtvL926tWPMmgla2vcA\nh0XXNAxmnjmG+U9sI6PF3uyFuU7k3Me46OIrgGamzRKuvuxk7rm8lvOnRXRLK+HEK6Fzl+6kpOVy\n062/Z/jwkTHPsGjRR+xafRMPXBfZBHma4LRbuvPhonVRrKVt9gva17cWGHi9XiaNy2fZmxo5WZHv\nHXeRxBvz1pCXm8vedtpic7vf/Oc/fPKP1xBCcMZZVzN69Og2dQ/cnMlXhf/m80VvYncmcPa51zFk\nSJzFs4PtQmTMDmaLzz3zKMf1+hPHterC4mWwqeFRrrr65h/1/YdT1/qddWzMDvUztFu3I3Z7hOR/\nMsakWZKTk5kzZw5z5sw5qG5+fn6roDxLxo0bx7hx4w7H48WV9i5Ev1TdPXv2UFysEtmUACyloSGJ\nJUt6AxJLl/6JM88s4OmnDz5uP5d+/WJ0Q4XA2q/b7gc4LLpCknjgkVc5646LuGpGFT27qPyjMI2S\n2mH8+bZLWmuTn9+TuYtq2VYMU46FLbvgrY8hPSOHd95ffUD6+WnTzuCOfy7k1j98zTkn1FJWLfOX\n9zvx2wdeOvimpIP9aqn73LPPcMVZkU0JWJwfs68zeGzOvbzw4hsdavf3j9xBYP9CbjrXjWnCi28s\n4aulF3DXvY916HlN0+SuWZeTZV/KrHMa8Prhj89+yZBjbuDq6+5oV9/a8cAH1ejarS9bip0cNzr6\nxmRzcSJdBsUh0fwZ2O0vSvdntCFplv/pjcnPUfx+LS7FeEVFE8uXl4co1iWGDMlk+PBOcSnGS0oa\nWbGiPFRNVmLUqE4MHJgZN/Nj2zY333xjuX1cLoWxY3PjugUMw2TDhhpWr64iGDRITbUzfnxeXLeA\nqhqsXVvFmjUV7N9fS58+GpMn55ObG0up7PdrrFpVxaZNtZimSTBYQjDYMo+0BqgELgq/U1d3MvPn\nf8DAgYXMnHls3KKDdXV+li8vp7TUgxAWO+ro0Z0OGbY1NR48ngamTElkxIi8I45tUVENum6QlZXA\nhAl57cK2S5ckJkzIi2GptR6iESX4DQn+rXRS6rAFh4P9uLiF8YRRhxxYjqSXYgqBoQxAt4+ODaoD\nhFaBrC5H0vdjChldGYJhHx57zU3zVfsKhFGPKezo9lEYysDYa25CV+3qNwjDy8i+Lt6Z+zYffPId\nX2wq4YSzTuWYMWOszZhpIGkbcPr/QyeliqsvOYYF721nzJAGCldBfh5cNN3B1ppTsdsEUmAlslaE\nMHUMOQvdNgFTsdK1hRA8/dxbrF27liVLF5KZEmDu37qQnvI9hq8G3TEhlu2zBbaSZmX7GUovNPvY\ndmNbUVHC8DiFW/PzoKFmIwn+V8lWGlHUieAYc0Bst27dTnXxfF6fE7n1eWl2HRfcs4Di4mvo0aNH\nFLam5EK3jY3rFlj17bck8S8evy2S8vvmnBpOv/mvnHnOpWRltdhJmSpScG2b2EaJ6UcOruKbL9/j\nxVcW47DreANJ5HYuoLJiBwmOAEE9hWtveICpU47jjClJnH1eAtMm+ukaam73PvhkWS7v33HSAbH9\nr9ltsIEsxYesnQLEqT4fsls5uBphBjGlVDT7+Lgulx+DraRtQpgmhtzlkNgthvvgVPyHUP5ng19/\nrvL221vp1y89alHcsqWO997bAZg4nQqSBNu317NjRz1HH50RRbi1alUlixYVoygCh8NypG/cWEt5\nuZeCgvSok/OXX5awbFkZDoeM3S6h6ybr11fT1KTSu3fE72oYJh98sIu1a6tJSFCw2yUCAZ3Vq6uw\n2aQo6nZVNXjnnW1s2+bG6RSoahDDkPnuu/0hFtSWGVAab7yxhX37LA4Sm01CVe18/fU8AoHBWKel\n9UAPoFMUTqoqo2m7qa3NpaAgPWrDUVrq4c03txAI6CQkKCiKRHFxIxs21DJgQMYhwVZRrIDD4mI/\nlZX+I45tYqKCzSbT1KSycmVVu7Ctq/OzcmUl3bsnR8cxGW7s3tfBcGOYDrw+lSRnAzZ9PbpSEDVx\nC60Uu/dNIGCVVBcKQi9G1jaEKppGJm5J3YLN/17ohROQkPXtITKpo2lJCiUFVmEPLMIUCkhWbJes\nbkQY5RhKQdSpTfF/iRxcBsIBkh1MnQSxkaGD+zPmuKvp2q1beFOi+D9ADq61+uXXKOjbCU2XeP7N\nBlQ9ka+/T0NJm8G99z2Gwz8PWd9GIOhg8b+2snL1RrISN5GS1gVTjiyyebmpTBxazPBBiTgT0kDY\nEGYdSnAlhtw9um5PC2yRXCG8KlDUNe3GNjUpyF/fWsuFpxElT70Go0ZPYtiQ3vh8fpLtZSjGrgNi\n++7C1Zw4chO9W61vDsXLd1u7MnqAOwZbWV2PMJswlBb0CabBm3+9mQumbqNzi5+mEBAIeCmpGcJR\nRx0V0lWxed9B1reBSATJhjCbkNWVmFJmFLYW6+kbrF71H/7v7+8z/4/1XDbDT5OnAaHv4vXfu7n4\nNA8zp9TwxPOFZCfto3d3hbFjh3HHnGI++NJg/mIHi1cN5I/Pzic9Pf1nabeGKePzNZFs34YsfDHY\nNtstIiE0DgEUdTUmtmha/B+BrdD3WRT4h9JufQusTd4Rkv9JSvqfs+i6wbJlpeHXmmbwxRclZGc7\nw6mgQgjS0x3U1vpDzKGWNDWprFhRRqdOCeG0WkkSZGY6KS6uZ9eu+rBudbWP77+vCRXCs348sizI\nzk6gqGg/1dWR3PidO+spLm4gMzPCJKooEp06JbBiRRlNTRHCnrVrq6it9ZOe7ggv1Ha7THa2ky++\nKImiYy8sLEXXjaiA1OTkRKZOnYHLtRDrtsQGxPLACOEjNTWZhASZzz6LpmP/5JNi0tOdUZuV1FT7\nIcdWCEFGhuMXg63TqZCe7mTRouIovBT/Z5giIapImCkSMUUCiv+zaN3AJxiti4RJqaH6Issi75ka\nSuALTCmbcG0PITCldIRZi6Sui+gaTSjBFRhyJ8LpiULClDORtOLwiQ2sgDxJ/d6acJsXCCFjytlI\nahFCj4yZpO1E0ootts3m06tQOOvMKSx692oe+sMS5i5Yx+wHn8FufI8wayna1MSZFz5Gxc63yJAW\n8tCcN/nDnFujKMMVfyGYenTQpHBiSOkogUUHxRapY9iOP6Y7nmAutz8BVTVQ3whP/BW++i6Rqy6d\n1PwAmFLaQbFNSXZRWx97u1dTbyPZJXcI25REjdr6mKaorZdIalGEUgquRZi1oeJyoe8WdkwpGyXw\nRVxsX/6/Ql64r4lElxXi8MESeOw2wkHLCU544d5aXnm9EKREevXI4t2/z+L5Z+7jz8/dxdy/XhWV\nCfmztFskTCmr3XZryJ2s2jVGpMTJj8H2sNitOHK3JfDrxuSIi8tlY+tWd/j1vn0eVNWIGyOQlmZn\n/foIm9SWLXVtVtBNS3OwenVV+PWaNVVxs07AokNvuSh/910V6enxfe+SJLFlS4RlqKiohrS0WF0h\nBMGgzr59kSvk7dvdcavoTphwGhdccBknnLCdoUMrSE7+DqIIolSSk9cyYsRk7HaZykovfr/1A6yp\n8dPUpMbQtjf36/93bGVZ0NSkUlMT8sebfiS9gtaFwayG7Uh6JZih4oJGDZLRRNwKo1JiKCsg9FFt\nH5hqXP+0KdKQ1UgAuaRtiXvtDSFqbXV15PmDazCl2MyIJYWb+M11b3H+zON5cPZNVFZWIqnfxb+i\nBiRZJju1KhxTImtFGKRy38NvsPDpOm65WOXck+Hdpxrx1K1n2dL3I5/Vt8ev9CpkhNFkVXmFQ4rt\nonnXkJB3Jydek8qE3ySyzz2UwsUPx8S2HAzb6aeO4K8Lk/G1CMfw+uD1j7M4fWpuXGwBTCkRucWi\nLKnfMfPM43nu7WRaEhHX1cPHhYkcPy6SuSFrRZjxFi4hwAxattLcbghbj6eR3FATgSCkp0Sz8QJk\npUMgEE0ulpqSQEpKyi/Gbi3dE0yx7wAAIABJREFUWGzbsluEZH1vc7s/AttY3UNht0d2q/BrjMl/\nQUzTDGdR+P1am7FHQgh0PcLk19SkxhCQNYuiSPj9EV2vV4vLTApgt0vh6rUAfr8eU7k20q6IOtXr\nuoHdHt9sJEmENxDNfWxLOnc+ijvvPIO8vEQ+/7yQa6/9LYFAb0DgdO7k3HOvITExNdSWxdLqdBKu\nPNyW/IptM16h5zWDB44vFGZIxwlmkAOn6JnhSH+Bv+2gOSEQRgQvYTZhtjXVCAVhtgxq9NKa1ff1\ntwv5Yd0XvHK/j4w0+Gb921xz+XLe+MtVZGfF8YcDJgrCjJw8halTtKmKo3u4yWy1Jsy6JMDsV19n\n4gnnhzIUDoRCCC84pNhKkuCee+7nnntnI6lbUAKfYkpxMDsItulpLmbdcgGnXDefk8f7MQyTL77t\nxD33v0hyUg20wa4MdjAjG19h+unaNYuLL5rBydd9winjvXj9EktXuXjswXNx2IJhjlFh6phSG+0K\nCYHf6nsLbDMy0ikuraJHF3DYwd1gVWNWWnS5tBISE9ugG/0F2G1EYrGNu4kivt12FNv4cnjs9nDJ\nrzcmR1gMw+KmaD7F5+TE32WDtbi0jCvo3j2ZQCD+wuzxqHTvHpmke/ZMoaEhfgHEhoYgvXpFfvDd\nuydFLaYtxe/X6dEjopuVldDm5sA0I/0RQpCcbENvgydakiyXCsCJJx7HrFl/5sorT+GKK05k9uy/\nMGBAhMzHbpdISrJuB9LTHW3ebOj6r9hCNLaIJNqeMLH+T1hxLtZ1cRtTgqljiuTwpG4eqKiXGcRo\n4fs25O4IMxBf1/BY/u+wbk+EGalxFQxqfPCPQl56wEdm6Db72GHwwNUlvPr6t2B44rWKMP0Yco8W\n7WZRX9+IELFjYbdByd6K0AeF1U+zjQ2wkCKn3Z8ptsdPPIqP5s9myOgLGTb+fhZ+vJZx44+LwTaq\nW2YDhhzJcDHl7mB4mH7qCN576z4Khl/JscdfwycLZjN8UFYMtuFFL/aBI/1pge3N15/BDY8mU15l\ndfvi6XDVA1aaNFgureseSeSW66e30e7P225bSlvYxteNtduOYhu/4cNgt4dRft2YHGGpqwsyYUIk\nuCk93UnXrrGLl2mauN1BJk7MC7+Xn59MWpojfHJuFl03CQYNRo6MRKkdfXQGdruMqkbXQ1BVA7td\nZsCACB3yyJE5BINGzELn92ukpzvo1i0SoDlhQh5udzDmxO7xqHTrlhSVETJhQhdqa2N/2G53gAED\nMsIxIpIkGDOmM5mZA+jXb2RUNeTaWj+jRnUKb0acToUBAzJwu2Pbra0N/IptK2wREpptFEKPTYUX\nei2abVQLP7cTQxmAMNwxupJRi26fEH5tSukYctfYCdY0EYYb3TYx8pacb1GAm/5WujrCDKLbR4bf\nMmxHY50wrTErLqlhcL/Ym6/Jx5is/6EYYQZjJ2PTHyppH4lB0G0TUEQTX68VeFuVHvnrAjCIkC3q\n9glIRhy8DDeGMiASx3CIsf3+++956IGbuO++u1m+2oupRxfA6wi2dptg0rFdOfb4y8Ks1a2xjTSi\nAnYrSDQkmn1kGNuEBDuTJ/bn2GN6IUvBuNgKwx3hw2gWw4Mhd4tyWzRjO/Cozvz2rsu5/rGuTLsh\nk/f+2Ynk7MmccHUnxpzv4qw7unPTLQ8yfGA8ssCfv922F9to3fh221FsW8uhsdv4m67DJb9m5Rxh\nsdkEAwdGU0v27ZvG3r0eKiq8+HwaTU0qmmYybVqPqBO1EIJ+/dLYvt1NTY0fn0/D67XYTM85pzfZ\n2ZEbAFmW6Ns3lQ0banG7gyFdywVxwQV9SUqK7JgdDpn8/CQ2bKiloSGAz6fj82mkptqZObNvOPsH\nICnJTmamk02b6qivD1Bf78MwLIr0GTN6RblDMjOd2O0S27a5aWpS8Xqtdvv1S+Okk/Kjbj66dEkk\nENApLm6kqcl61kBAZ9iwbMaNy4uKE+nZM5naWj9793rwei0MAgGDiRM7M3hwNJvqj8W2qUnF7W7C\n6XRy7rl9jzi2jY1B/H4dr1ejc+ekn4StKXcBAkh6MabeiBpw43RImM4RGPZxUVfbhtwTYdQi6XsR\neBGGF2EG0OwTMeyDo7A1lL5Ixl4kowJh+iw/NhqacxqmrUdEUQgMpR+yth3JqAF8VrsI1IRzoCXT\npJCtdrUNCMONLAV5d+Eazjs5+tS4ex98t3M4J51+B7K2AVN3owbqcToMJDkdNWFmOIsCACkJkwS+\nWfERcz/WSHZZ7oNn3oAde6DfwJM5fvK0EF6ZmNiRtW0IsymEgw9D6YfmPCnqBNkSW2E0IUwvggC6\nfViHsH3pb4v54sO7ufb0lYw9ahPzP9rMkq/dTJ2Yi6l7UQN1OJ0Khuv0Q4atCOki7GiuC6xMjrCu\nA0POR9Y2IIwGBD4kw4cpUuNjK2Uia5sQRiMCP8L0Ysqd0ZwzaFmPpSW2nbIkTpiQz8XnjWfQkEnM\nnbeYuy+v4sYLg2Sk+HnpjZ1MPXkGSfbyn4Ttf8NurTFz43CmYCRddMSxPfR2W4dp+2lFbzsi/9PM\nr780qavzU1npxelU6No1qc2YB7AyQ/bv95GUZKdLl8Q23RumaVJR4cXtDpCW5iA319UmGZdhmJSW\nNuHxBMnKSohajFuLphns3FlDcXEpgwf3JC+v7SJPwaDO3r2NaJpJXl5iXEr+ZvF6NUpLrdNMly5J\nbQaZguU2KS9vQlEE3bolhzNv4klHsS0rq6ehoZoRI/rgcsXH4XBiu2+fB79fIyfHFZ+XJCQdwRbT\ni9q0i/KKcjp1GYEzIbaIWOSBG5D0ckDBULrFD5QLiTDqEHolJk5MpSsxhcFa6urVCGM/ppSEKXUJ\nT5Zr16zmT0/eiaFW4w8qTJp8NrfcfBUyDdx2xwOcPa6QUydqoT7DRb/N4qa737foyE2DoG8XFWU7\nyOl8NA5X23Wrrr78NC496Wv2lJrU1sPEkfDE3zsx50+f06tXK7IuM4ik7QU0DDkvOt2ytZheJM3K\nCDOULsSjNg9LK2wrq+q4++aJfPhsZdTN0PWPZnDhNW9yVJ9kyipqyekyCmdCUpvNtoVt7LOaCKPC\nWkClNEwpt+24C9NAGKUIw4MpZcWnKw/raghtnxX3IOfgbpR49KFbKd75HZIwycot4HcP/5nc3Fww\ng6hNOyiv2EdOl2Fcedm5/G32uiiSuWXfwQcrL+bhR5/sELZCK+Mvr7zOF18uxmlXMUQGt856nLHH\nTohSPRR2G4uBhW3QV0lphZfcLsNwJrTxW/8J2LYZPAuHz26PoPy6MflVfrRYlNJ720e7/AuT/9W+\n/Rz7tWPHDu6/cxpzH6skM926tX75PRe73OfywEPP4vf7eeC+6yjds4pOGTp7yl1ce+NDnHzKGeE2\n2tuvxsZG7rvnKtzV35OeYlBancxtdz3FhAnHH4muxpV5784lyXMTF50WPRX/Zx0s/uFGbrr1gZ/d\nmB1MTNPkwnOP577Lihg/3OrXxu1w0x96M/+D/+BwOMJjlpOTww1XjOaTFypatQGn3NiH+R9+167v\nLCoqYsOGItatWUZBp8Xc/psmJMlKv77ot9nc+9AHDBoUh+zsMMjP8Xf2S5Jfs3J+JmKaJiUljezZ\n00hioo2CgvS46aBgZW/s2tVAeXkTqakO+vdPi8t4Clbcw/btbvbv95GdnUCfPmlxGU/BinvYutVN\nfX2AvLxEevVKaTOjpKlJpaiomj17ajHNNPr2dbR5W+B2B9i6tQ5VNenTJ5Xc3LZ35TU1/nAKbUFB\nOpmZbf+oy8ub2LmzAZtNUFCQEbeAH/w4bPfscePzNZKdrdPWvHI4sd2ypY6mJivoNj8/uW3KecON\npG4FVEylD6Ychw0yJMKowab+QKJUiTBcQJe2dfVyhLYTsGHYCuIWQgOsE6JegqTvwRSJFulUvJRF\nAFNH0nYhjHJMkYph6w/Cyasvz+GPt1eGs2WEgBvO8zLtxs/w1Z5CYnI+T/3pr3h9Kh6Ph+zs7Gg8\nTD+y9gNJ0g5kLQDmUW1mPSQnSvz52bvxemrwBLLIzBmKaItuvoPYCtVK8zRtBZhSZtu6rbB1JSZR\nX2HHKqoXkboGQaILbMEVuKRGMDOANoyxDWzj66pI2vbQDUA2htKHeIynlq4fSd2KMOsxpTwMpVeb\n2GI0IWlbEGYTX6+uYVjf4vCmBODovjBzahmfLvqQs848GZv6A0lSKTYxmkAwdgw0DUwhHxRbv9/P\njdeeQ5f0TYwZWMsPawR/nRf53tRkeP6eah566RFeeHlBqF8/3W4PhK0tWIpT6GDm0vaY/ThsDbk7\nppzf9i3XYbLbIym/3pgcYfnqq30cd1x0lUaPR2X+/O243QEcDhlNMzAMk/HjOzN6dHQUeU2Nj/nz\nd+DzaTidMsGggWmanHpqDwoKoq/39u5t5IMPdqHrJg6HRCBgIMuCs87qRbdu0UFlW7bU8dlnxQgh\nsNut9NiEBIXzz+9DRkb0VeSqVZWsWFGGrmt4PI24XMlkZSVy3nl9w9kzzbJkSQlFRTUoioQsCwIB\nndxcFzNn9olyvei6wccf72bXroZwKm4waNCrVwrTp/eMWsSDQZ0FC3ZQUeHF4ZDRdRNNMxgyJJMp\nU6IpL38strJsUF1dR2pqKtOn9zni2EqSQFEslti0NEdcbBX/EiS1yGKlREYyA+hyLlrCzGjXi6mj\n+D9G0nah6YK6OjfpaYlIzn5ozunRk6EZRPEtQNYrMIQD0BGmhmEbguacEvX9GB5svvmWS0A4EGhg\nGmj28RiOaJZIodeg+OcjDB+mcCIIgmmiOU/lvAuu4rMXNtBa7ngqkUsuu4Z+PZNByKjOszCVbhiG\nwbx3X+ezj9/A0Js4flw3LrtgNF6fn/S0BGR7CprzfEw52lUlBVZZBFZCCqVlBjClNNSE86JjAH4k\ntmbofWEGLXrvdmLbpBVw9oV3s+iFUpJDa6OqwvSbk/nzn64kOysNd101aWkp4Dq+Q9gatoJoXW0v\nNv8HoWwVh5V10gLbKLzULRbZlhCY2BGmH1NKaBe2b7zzNbnOxZw5NXpMV/8An6yaxm9vHY6mQ11d\nA+lpLm6f/RmXnvIDE0ZEAsr//G4CQcdpXHdJwQGxffLx3zK88984+0SV0kp45CV45WFiZNotR/HO\ngm8Omd0eCFtNl3C7q0lLy8BMOveQYvvfsFvZ9zG665xYUA+T/JqVc4Rlw4Y6ior2R723cOEOVFUn\nM9NJUpKNtDQHGRlOCgtLKSmJRObrusH8+Tuw2yUyM50kJtpIT3eQnu7gk092U1cXiR73+TTef38n\nyck2MjIcJCZaf5OTbbz//k58vkj2SV2dn08+2R1uKzHRFg6unDdvB7oemSxKShopLCwlI8NJWpoD\nl0smI8OBquosXLgjql9FRftZv76GzEwnqal2kpKsdt3uAJ9+Whylu2xZGSUlHjIznSQn20lOtgJB\nS0o8LFtWFqX76afFuN2BMF6pqZbu+vU1hxTblBQbaWn2/xq2zXjFw1ZSi5DU9RZ7pJQKUhKGnIkw\n3Cj+T6N05eAyJL3ECo4TyRgkYkoZSHqJRaHdQhT/p1YUv5xpTXpSqsV0qa5HUouidG2+hYAaeoYk\nK15BzsAWLERoJRFFU0fxzwfsId1EK/tASkfxf0LvPv1Ys5EY2bTTRpfOeZhyBqZIxuZ7H0wfd99x\nBb69s3nviSI+enoHuYnLuOKWd9GMhNCJz47inxeV9SC0EmzBQqstKc16XjkTUEP9+OnYIiWDlGzh\n1QFsE5XNPDD7Hk67uRuP/y2Zp990cdK1aVxx6enkdu6BKRLRScGUOo6tMKzbR03T2LqliJo9r2OK\nZGvxkxJjsA3jZdSh+D8Jt2Xpth/bo48u4D9FsTejK9Y5GdDPEbLFFIz/x955B0hVnf3/c+69U7dX\nyrJL70UBQRBERRG7KGJ91fREU000yZseY15980ZNfjHdJNYUjbEkMZqoMYARAUGK9LrLsn2n7NTb\nzu+PuzuzszNLc3dBwvcfnZmHM+d859l72vN8H/xIpZTvfv1KHvztaG7/bjk/+4OHm/57EJvrZvKx\nmycdltvVb77M1YucbJjKUthTl53EsnU3DB7ixBD1ld92cevYxnHF/5jiVoo8LFmIJL/PuT0+fptD\nArgfcWphMsAoKXGzalX6LtUJYk3kvIopLfWwcmVD6vWePWHicTMrcFMIQV6ei1WrmlLvbdzYiqKI\nrKBYRREIIdi4MT2Br1rVRF6eK+u6QNMU4nGTPXvSqWIrVzZQWuqhJ7xejdbWRIYc+6pVjTlt8/Jc\n7N0bTomLmabNxo1tOa9iiorcbNzYlpJjj0YN9u4N57yKKS31/Mdwq+qrkEqO4FUlD8Xcm5a1liaq\nsRGZ4ypGKkWoxkZSstZ21Pm3OY60pVKKqq9K82K1oNitOY+0baXU2eF1dcncg7Dj2cGFQiCVPG77\n0Ll88QdDqO1cf+o6fPfnHubMmY7f3yUbroAQ7N76IlbkDT5/awyfF1wu+K/LLc6c1MyKVbs7bTWE\nHc+QDNf0ldi5+BJeFLs1QzL8eHB71ulxnnlhHVPOeZIRMx7imUc/waUXZdcmOVpu1eQqXnj+KZYt\nmcHvf3ElX/v2z/nAbT+mPRDtZutwq+gb0xwkVyGVvOzrgiPkdubpNew6OIg//1NJLRJWrhP8dUUR\nlyyemzWugsJSnvz5Ddxy21OUTHiU/777ZR74ziKElh3k2ZNbRbFS3XS54PLz4Os/dBRlAQ42w2e/\nN4jbPv2tPvVbNZn+e1D0jZ089phS+4Fbx3ag/XZgg2JPLUwGGEIIYjEzpVXR2hrv1VbTFEKhdJpk\nQ0MUrzf3HaTfr9HUlK45U18fJS8vd9xJfr5GfX36wdTUFOs1+8XjUWloSNuGQvohM1q6xiOlJBYz\nD5EtREqkLBYzexULA0dLJBYzU9/fm+ipovxncIuUCBnrPTMAmRZ7kjGgF9ElcD6TztiEDEFvOo9C\ncb6zk1thtyJ7U48UWsYOy7mb7+WeXfgZUWVz7/ef5a4fn82lt1dw+WcqKRl6MXd+JlNcS4p83l6z\nkovmtmQ1c/H8BO9s2N3N1oOw0wtPYYd6zbqQwhmP8+L4cevSNBYsWMCicyfi9fcS83GU3G7evJ4X\n/vAV/v7TWh64K8iT/xvhS7fs5rNffDhzVCIfxU7XmRJ2U68ZGkfCrRCChx+6jX9vm8Hi24ax+LYR\n/G75NTz2s1vRXL2MDcmkCUO46KKLqB5WypFyO3b8aax4O/3JZ26G4kKYda2bSz9Zxuf+r4Zv3PM0\nY8eO7VO/FXZ6s6LY9UiRO0alr7lN2x5nv+1HnAp+PQ5wuZTUDjo/392rvLhtywzp86IiD7puk5fD\n/w0js6BbcbGbgwej5OdnO2oiYWXUZPH7NUIhPWfgptNuehfvdivYtsy54JBSpjQ8hBC9BoJ2wedz\n3M/rVbPqZHSHEKQWDYdKH4b/DG6dnVZvD/dOe9EZuyKc6qm9Q6R2j/KwqYKu1C5PKvnZ5+WpL7dT\n99ZOu0UIdCQ5yJUGUhQxfsIEfvHrP6MlXkOYW7Luzh3bBEOGDmfDvwuATPGxHfsVKivTu2uB0266\nD26Qdu4Ht5TOeOCk4/aRJ1/l27e1Zki9z5wMhd5Wag+0UzOsc4ctE9CtJosUfmdSyhEUe6Tc+nxu\nvnHXRRj+61KiYe7IQ4cWTj8Gbu/60nf48C1vcsU5IeZP11m3VeOvK4t55slPUTW0GGFH0PMdLZO+\n9tt0d4pBHqRLMTXTtu+5dT48Efy2f3DqxGSAEYnoTJ6cPm6rqsrD58stLx4IJJk1K604On58ca91\nUoLBJHPmpKOvZ8yozIh16I543GTGjHS7c+YMzqmk2vVd48en/6hmzaokEMi2tSyJz+eiqir9Rzx5\ncmlO6XbDsCkrc+IowKmgW12dn7O/sZhJTU1+KlC2K0akp+oqOCcw/yncWq7JudUYpeHEWSid7Qo3\ntlqdccedto1hqzXpoDil2DkK7qleCQg7jOWanP6nShUIH7kksIUdwHLPSr22XeOdySAHt4odxHLP\nSb023TMQufoKCBln3nm38NraIezuFgrQGoCfPV3IZYtP6+yc8122a3zKxnLPyowJSA3EAuFzxtNl\nexJx29xqMXxodvdqhli0tHav3xLHdM9Ivbbcc1ByKKn25Pb5Z3/Pkht/yHU3f4sl19/LX1/uVp13\ngLgtLh3OM098ifKaZfxx5TxE0VKeefJLnYuSw3O7dt1err/1+1z7X9/i8uvu52c/+R6ya4x95LfH\nwq1je6L4be7nXX/hlPLrAGPnzhAXXTQ8VR1XCEFVVR5vv92CZUncbidzpL09wYgRRZxzTlXqBEDT\nFEpKvLzzTmvqRMIwHNvTTivPmBC9Xg1NE2zdGkDTlFSGRyCQZMGCoYwZk54Qi4o8RKNGZ0aMiqo6\nVyKhkM5ll41k8OD0hFhR4aOhIcbBgxE0DZLJJJalkUhIrrlmdMYJQFVVHjt3hmhrS+D1qgghCId1\nTFNy7bVjUicm4NSq2bixjY4OA49HRUoIBnXcbpWlS0dnZPCMGFHA22+3kkxaeDwqti1pb09SWurl\n0ktH9Am3qgodHTHicYXp0ysHnFu3W0VRBJGIQSxmZnEr1arOlM82Z3cjRKeKpInpv9Z5+HbCVoej\nmhsRsgPb1ogn4vg9OorqxfQuzYjWl9oIVOPtzmwND44IVDtSKcX0XpqO1hcCW6lCNd4GLKcNaSLs\ndmxtBJb7nPQdutCQSolTuVUIZ6coDUcu3HUadreHNsKLREM1tzpH2EIDmUTYAUz3AnCPZf45l/Cl\ne9bwp3/YvPBPjSf/UsDdX72J8jI/Pi+oogPTe1lGmqRUKhB2A4p10OmrUMCOIGSsU8Wz2y71GLkF\nD86ReRCE+7DcWqbJv5a/zaq32/GXX0xRcTpfuju3ttSIxyP4PQlwjzoqbpuC5Rzc/wZTx6UX8rYN\n9z3s57aPXIJLM1PcStcYwPmb/vurq3ln426GlIXx+fOc313GEHYoxe3zz/2BN//x3zz23SZuviLJ\nNYui/PDhnSiucsaMzD8st7btIp5I4PcYqIr9nrgV7pFMHlnPOWeNYcrkMWiqOCK/3barnbu/+wse\nvaeVj1yT5ObLOli7dh2vrGhl3tkXHbPf2rYgEQ/h98SxveeluAVAKULIKGpXRkwObk88v92I7Z7J\nQOFUuvAAwzTtnHEE4bDO2rVN7N8fwetVmTWrklGjinIe6wcCCVatakrFL8yZM5iamtxVVpuaYrz5\nZmNKnXTu3MG9Frerre1g1apGYjFHcXTOnEE5VUdtW7JnT4h//7uehoZWpk2rZt68YTlVR03TZvv2\nAOvWtWJZNmPHFjN9ekXOKxldt9i8uY1Nm5waDlOnljJlSllORddYzGT9+hZ27gyiqgozZpQzfnxJ\nn3F74ECIRCLM4sUTGDeuPMsO+pfbNWuaSSQshg/P54wzBuVWdJUmirkd1VgH0sLSxmK7p+e+v5Y6\nirEZO76O9vZ2CivORsubSU5FVxlD0dejmjtBqFiuGdja+Nx33XYYTV+LsPYjhRfbNatTjyH7dxB2\nADW5CmE3IYUfyz0HqdVktwkIqwlVfzOlTmq552YVYAsEApimSWVJHDu6gmD7AYrKJqDmL8itjClt\nFHMPirHGSc9Uh2O6z8itjHkM3KrmJgAsbSq2a8ohua3d/SafuvPnLJoTZfiQGH9dWcng4RfxjW//\nMB0o3cmtmdxFW1uUwsoLceVNPCpuo9Eot9x4AZ+4eidLFpo0tcE3flzEjNmX8MEbz8zidu2at7j7\nGx9m6cJWCvMN/vhKKYsuOJuP3rIAqQzC8sxJcXvNktn85Yc78HQbZjQGy+4awtO//fFhubVjbxFo\nb6WwfDZq/uw+4/Zo/PaOO7/J52/YxIQeor8X3VbFI79bi8/nOya/NfUWWtpMigZfitvfi61Zi6q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9sVH3KicWt5FqL0TDOUEsVqwXTPp3tkv+m5oPNIttuDSNoIuxXTc0H6PaFiuuejWC2ZaYbS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vtfPb3/bQ3z/A3Lkp7rlnQcFjjHjcYseO85w9O4RSioaGEHfd1VrwGKO7O8mOHe1cuOCd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\nU3DClVJx5swghw5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CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# HIDDEN\n", "\n", "test_grid = test_grid.with_column('Class', c).join('Class', color_table)\n", "test_grid.scatter('Hemoglobin', 'Glucose', colors='Color', alpha=0.4, s=30)\n", "\n", "plt.scatter(ckd.column('Hemoglobin'), ckd.column('Glucose'), c=ckd.column('Color'), edgecolor='k')\n", "\n", "plt.xlim(-2, 2)\n", "plt.ylim(-2, 2);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The decision boundary is where the classifier switches from turning the red points blue to turning them gold." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### k-Nearest Neighbors ###\n", "\n", "However, the separation between the two classes won't always be quite so clean. For instance, suppose that instead of hemoglobin levels we were to look at white blood cell count. Look at what happens:" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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ce+8hdO7c/AZeVZXgyivnYUztN3moHb249NK5/OMfP2j0joffzrdhQw3BYP1/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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ckd.scatter('White Blood Cell Count', 'Glucose', colors='Color')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As you can see, non-CKD individuals are all clustered in the lower-left. Most of the patients with CKD are above or to the right of that cluster... but not all. There are some patients with CKD who are in the lower left of the above figure (as indicated by the handful of blue dots scattered among the gold cluster). What this means is that you can't tell for certain whether someone has CKD from just these two blood test measurements.\n", "\n", "If we are given Alice's glucose level and white blood cell count, can we predict whether she has CKD? Yes, we can make a prediction, but we shouldn't expect it to be 100% accurate. Intuitively, it seems like there's a natural strategy for predicting: plot where Alice lands in the scatter plot; if she is in the lower-left, predict that she doesn't have CKD, otherwise predict she has CKD. \n", "\n", "This isn't perfect -- our predictions will sometimes be wrong. (Take a minute and think it through: for which patients will it make a mistake?) As the scatterplot above indicates, sometimes people with CKD have glucose and white blood cell levels that look identical to those of someone without CKD, so any classifier is inevitably going to make the wrong prediction for them.\n", "\n", "Can we automate this on a computer? Well, the nearest neighbor classifier would be a reasonable choice here too. Take a minute and think it through: how will its predictions compare to those from the intuitive strategy above? When will they differ?\n", "\n", "Its predictions will be pretty similar to our intuitive strategy, but occasionally it will make a different prediction. In particular, if Alice's blood test results happen to put her right near one of the red dots in the lower-left, the intuitive strategy would predict 'not CKD', whereas the nearest neighbor classifier will predict 'CKD'.\n", "\n", "There is a simple generalization of the nearest neighbor classifier that fixes this anomaly. It is called the *k-nearest neighbor classifier*. To predict Alice's diagnosis, rather than looking at just the one neighbor closest to her, we can look at the 3 points that are closest to her, and use the diagnosis for each of those 3 points to predict Alice's diagnosis. In particular, we'll use the majority value among those 3 diagnoses as our prediction for Alice's diagnosis. Of course, there's nothing special about the number 3: we could use 4, or 5, or more. (It's often convenient to pick an odd number, so that we don't have to deal with ties.) In general, we pick a number $k$, and our predicted diagnosis for Alice is based on the $k$ patients in the training set who are closest to Alice. Intuitively, these are the $k$ patients whose blood test results were most similar to Alice, so it seems reasonable to use their diagnoses to predict Alice's diagnosis.\n", "\n", "The $k$-nearest neighbor classifier will now behave just like our intuitive strategy above." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Banknote authentication\n", "\n", "Let's do another example. This time we'll look at predicting whether a banknote (e.g., a \\$20 bill) is counterfeit or legitimate. Researchers have put together a data set for us, based on photographs of many individual banknotes: some counterfeit, some legitimate. They computed a few numbers from each image, using techniques that we won't worry about for this course. So, for each banknote, we know a few numbers that were computed from a photograph of it as well as its class (whether it is counterfeit or not). Let's load it into a table and take a look." ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
WaveletVar WaveletSkew WaveletCurt Entropy Class
3.6216 8.6661 -2.8073 -0.44699 0
4.5459 8.1674 -2.4586 -1.4621 0
3.866 -2.6383 1.9242 0.10645 0
3.4566 9.5228 -4.0112 -3.5944 0
0.32924 -4.4552 4.5718 -0.9888 0
4.3684 9.6718 -3.9606 -3.1625 0
3.5912 3.0129 0.72888 0.56421 0
2.0922 -6.81 8.4636 -0.60216 0
3.2032 5.7588 -0.75345 -0.61251 0
1.5356 9.1772 -2.2718 -0.73535 0
\n", "

... (1362 rows omitted)" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "banknotes.scatter('WaveletVar', 'WaveletCurt', colors='Color')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Pretty interesting! Those two measurements do seem helpful for predicting whether the banknote is counterfeit or not. However, in this example you can now see that there is some overlap between the blue cluster and the gold cluster. This indicates that there will be some images where it's hard to tell whether the banknote is legitimate based on just these two numbers. Still, you could use a $k$-nearest neighbor classifier to predict the legitimacy of a banknote.\n", "\n", "Take a minute and think it through: Suppose we used $k=11$ (say). What parts of the plot would the classifier get right, and what parts would it make errors on? What would the decision boundary look like?\n", "\n", "The patterns that show up in the data can get pretty wild. For instance, here's what we'd get if used a different pair of measurements from the images:" ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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z0dCQ4g9/WI3jqGHTKYmEQ1dXibVr+5k5s27o9vHjMxx33HTK5TIbN27crj9O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\npQYPQghwHJmqoc7PEtxzzxDd3Rl27pw1T5NSUK0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X4vkem7flMUbgellGJ9qZaSM1wsfg\ngfTRarmVIyfEBmsOhlaMaCVxjkZQQcbbLFn0SWBkB9XWT9tuEWMwMotWR6Gd1SA8lN6LIEaLDnAW\nk7jHo53VaNEO2OyG1DtTbkaSdpxME0xfiVP9Dl7502i1Ci3bwZSQySBG9WBkJ4l3MlodgWY2gDIo\ntOggcdfN8kAw87I0TTx30XwX52D79u0ArFix4qDnuru7yefzjWOaaGIG27dPU6nEB5VSlJLcd98o\nL3hB39N27TPOWMwtt+xj48YD7N493RARy2RUepdv2L27mG7AEuXMCE0KWvIub33r8XzlK1sOUkMd\nHq7w3e/uYvnyAuPjNVasaGXv3pKVSUeDjlnaO4pKwpRkCGHk0Nk+2+JpmSMKEoNK7kdFdwMOiBZw\nKmQm3wrSKpMmqhtIrGBWso/EPZYoczF+6V+tZPgc1EOJFFCpJimBdjabIYRgyZIW9u0r0dut2buv\nThQJDIqBgRJLlxa48MKVXH/9I2htqFYTksQSbet1eOihca6//hEe2hgSJQfrlJj0Ps3qo0S0tfmc\ncEIXd9+9n/HxChm/Rhg5VKqWfCmEFRBzHcgEGmPAcRSFQgaVdtWAbeeNIk2SaOp1BSZPpVolSQyv\nebmmlnkLWi1DmVGc+vfSFlIJqhVtelDJTpubEAqtlmBUN+gSMn6cxH/+L/wcGdWVZpNOmvd4ovrQ\nSY1qvY9A7k9lV6Q9XuRR0c+BepoXUYCDTLai3aMQ8SB+8aMIPY019HMwsh9DgIofRTtr7LWdRRhn\nEdpo237t9KOSXfODJVMm8l/3C+fRxLMfzaBjDqanreBRa+uhW7QKhULjmCaamEFnZ3CQMRvYu+H+\n/vwhXvGbg+NIrrnmBdx//wjvetedtLVZfsngYJkw1A2HV5kat0YR9PZmWLgwz+mnL+Sss/r5/vd3\nk8nMF1/K5VzuvnuoYU3f05NlwYKAUrGGqx/ise2t7N2fZbrk0N5aY7rUxvhkjuPWDrF/pIPebtuV\noulCMpKSRK15G2YCFW9Bi25EMoqRXelVldWDku0k/ukkwVkk4R3WA2SOm+nLXrSPf/2vFyDdNI1h\nEowJ8RyB70V0djqcsm47K/rH+Pp3F7FnIIPrQVvHAqQUfPSjG3Bd2ZB/tzonNiuSJIZ///dH0cY0\nlEbnI+WhGNJzJGzZMkGlEuM4hlBYUqs2Mxof9t+1UCCkwWhNS3s/xx3fhTGGm2/eg1K2s0YIq7tS\nrydIEVIsCVYtrXDRS2/DjTowySaM7CZ2n4+KHkEQIZJBMBWbHZBHY9wFYGp2XU2MVmue8mdJqwWo\naPQQmRFJbNqBfel6hwg9gkj2p+/rTIuuBqpW8yPahtSDadknFfsyAcKU0bJrTtfS/LU1qp16y1Vk\npt6LTPYBdYzIkvinEwevfMpzaeLZi2bQ8TShVjuU2t7vJsIwnPf37wtm5rt0aUBfX4b9+8tkMrNd\nDHGs6enxqFQq7N1bpliMWL68QC73m1VXPHDAEiLr9YTx8RILu6fJZwRDo37DfVUIQWurg9YGpSSf\n/ezpLFyYY3zcbhpaJ/POWa3G9PT49Pdn0FqjdWJlznODjAyLVPgKhkazbN/TjuskHLV6mA2P9nPZ\n5ZfwySu+w7oVA0iGbFsmMLuBGzBFtFyC0jE6Seak0QENZZ6PrtWou2+jUH8XbrIhlVHP8LKXnsH3\n71vBli1ToCvEiS0nrV46hYqGKJXy/PEbH2f5MsMP7+ilr9vyBoyIiNVaHnpolI4Oj61b9Rw3Wpsh\nKhRcSqWQKJorSnYwcjmHel1TLkcUi7a8FceAUcTJ7OuMEankuqBWV4yVVnDdx85kdLTIF77wGOPj\nNarVhGzWwfMSHFmnUgWjNX956TYufcVPyAYhJGUSWkEPAwfQuo6rHwGilPdikHoTSb0LKcoIE2Pw\nUaVPU9GL5wR2h0ckL6UleQ9GyFn+hy5TlaczHp/KAv0ARh9AmR2pgNvMDdhMwGGDD0GE0jvTx237\ntB1jFWNaEMkokVwOSWleMIkuUXVfTT30qQX/gtJbkMkYibMCLfug/tv9fvl9/V4Lgqe3Q6gZdMxB\nS4tl2k9NTR3y+WKxSFtb21M61+DgIEmS/OIDf4cwPPz08hfA3sWPjob4vqS19dkhjTwyMsJb3tLH\nZz+7i8cfL7F3b4VKxQYc733vnYyMhKmPSYzjSM47r4e//MvlB3WJ/CrYubPM+973CNVqQluroV6p\nsmW7T2shTNVITcPq3W5uimKxzsMP7yJJ7Oe9v9/hsceKjYBJaysQdtppAV1dNVpbYWysTBAofDPB\njr1tFLIhx64d4dFtCxASa5yWqSOFoVaTXHPdqfy/j/zPLCcQ3Si4zLRIhuE0dX00rphgrqDVRHwW\no1MG2IsvduH7w8QsSDMIDpLH+Nu3F3nw4Yjbbt7GXff1opRm2+481Zoi49f59JdWsGRxhWJJ4Hkz\nbaUlqmGVMNR0dQVkMoo4NiSJQUqRCqK5TE9HBIGkVtMcDuVynPrOzD5mzKwC7Mx8XEfjewnSydiy\nlnTYuXOAT35yO1NTEWEYEccwOVnHdSISbcXAsrkaH/7X1Vx17WpOOXY/H7v8Znp79lE3i1BiFGWm\ncaQNBDUe2ngoUcRhH8Y4JKZARa+AeARRvoI94RVP4dMUkJevp8f9GlKUAMl0cgrD0QWAw57yq1nu\n/4NVihX1xvs1L5ickxnSOMi042amLGVMDRAMVF9FVm0lI7ciqaJEiVD3sa/YQk3vSc+dBZZgu2T2\nPoXxPz34bXyvPVuglDokveA3iWbQMQcrV1olvR07dnDcccfNe25kZIRSqcRJJ510qJcehIULF/7G\nx/dsRRiGDA8P09PTg+c9OWnt18GDD47xyU9uolSKEAKWLSvwvvedQHu7/4tf/DRg7rz7+z1e9Sqf\nj3zkQWo1g+8rJiYSxsYiajXbQtra6hHHhhtu2E8mk+eKK57aZ+lw+NGP9vGBDzzO6KjtXhkdqSGl\nVd48MBFY4zFhbFrfKKJIU6lAa6tHV1c3/f327vfDH+7jYx97mE2bxtHa0NLi8ld/dRQnn2yfv/ba\nXj7zmUfZuHGc4nhAPhuxbtUoUgpqoYvnauIYHn68zxqdAY/t7OFL/3sSl134CGB5HmKOBLdA46sa\n1Y6PUUfjhzcDEaH7UgK1nKXJHjLhf+OH68FItFo0SyQ0CSuz32bZmf1c9KItfOvmClf882p7Vi2p\nhQ63/ayLnu0ho+M+ne3TaauwIeNliKMa5//hfsaHptiwMY/vuSjHo73do68vy4knZlPRsIl5QcUM\nMhlJvT6bJZFyNvhItEAIq/4phKGtpYoQigSBUg5Sunz+84O4rkcup4iiMlpbJVitFRk/plJTHJjM\n05Kv4ziaH9+zjFe9+RK+/4X1dPVmUMlepBmcsa5DkCDFTLlCYMihJOTVbmJ1NAGTLOlubbQvPzn6\nCc35CIoYMnjCpSf9nBc6TsSEazGA0lvAlDhYDRUsodVDoJjRYRGpIqoUilguo6XtbBL5Z4jqdQTR\nNzGiCyUUq4NrCd0XUwneOT/79Qzgt/W99vuGZtAxB6eddhof//jHufXWW7nwwgvnPXfLLbcA8MIX\nvvApnevpTlE9G+F53tM279HRKldf/RCep8hm7RfA7t1lPvShB/i3f3vxbyRr8KvC8zyMcfj3GGVZ\n8AAAIABJREFUf9/C1FSE7zuNjWgm9T7zfyvHbVi/fg9/8zcn0d7+q61XrRbzhS9spV7XeJ71EwHQ\nWpLLxmAEUhuiWCKS2fvPel3T25vlxBP7GsTXIIAPf/hUyuWIWi2ho2O+VkcQBPz931sy4qaf7ue9\n7x/CSTdxKTVxLChXfRxlbeJJu2O+cOOJrF2l+YNjHmBWxMqkfxbA6SVwphF6GpN7Ado5Blco/PDn\nBOUPAdK2ZxKj9BSJc3QaeEgkE4T6KL7/wx4uv2YNQkAtVPi+RgBRTEPMa2DYZ8nCCqh2tDb4Ygc3\n3lhB64BcNqZW0+Syhu7uNhYsyPLRj76QLVsmec1rvk+p9ETxLYgikxJCBY4jMMZmk5LEIITlzySJ\nwXMTjHHQ2uporFhtfWwmJkIyGZetWyfIZh2mpkKbMzCCeuggBUipqdZcWgo1PDdm/0iOz//3Mq58\n24/TctV8T5pZGCQVDC0IQhTjGNmG73sgn+SzZgyq/iPc2rcAQ+y/nDh42TwVUNfNI2KFMCWkqXDo\ngIO0CwmEmemqERgCEB6JswbUMgI1il+6EhU/kHZIT5DII0DlCPQdoM5De0cdfry/RTyd32u/j2i2\nzM7Bi1/8YpYtW8Y3vvENNm7c2Hh8amqKj3/84/i+z2tf+9pncIS/v1i/fidxrOdpXgSBw8BAid27\ni0/yyt8ONm+emGMXbx8zxjS6SdJHiOOEUiliaKjC6153C9/+9k6MMYc77WGxZcsUtVpMPm99ROLY\nNLpVwtAmtR1nZoOfH5AND1fZvv3gEmIu59LZGTxpALf25D+htcUlSjwMHot6akSxItGSTGAzOnEi\n6VlQJp+p86X1J2FEJ3bjkRiyJPJoEvf5CD1KZvLNBKWrCKb+jszEGxDxAH7pWiAAEaR3ywpMiEwG\nZhaWMMzy9itX84nPr2C66DI+6VIsOlSqkqmiT6niM7DfJ/BjanVBLcpRiZbQmhunvaVEGLu0tcSc\nclyR49aVyWWKvPTsbj7/+TPp6AhYu7Yd33fmianNwmaDCgWPbFal3UCm4fKbDTR93XWEEFRqDu1t\nEceuK6bHuyxYkGHv3mLDhE4p2QgbtLE/IEiMmC1PSdi4pWeOlsnsWA41PmGqWHGvcYzsBvnkZWG/\ndA1+6ePIZAiZDOOVP40/fSVzPrxo0Y5MdiLj3XBYa3ow5KxQGDMlGCvBrmUX2j2WWv5v8MufmDWz\nky6YBJU8lp5B4dR/+KTjbeK5i2bQMQdKKa699lq01px77rm8613v4oorruD0009nx44dXHnllfT3\n9z/Tw/y9xNBQpeHAOhdxbJicfDL57N8OXFciJXR1ZRq281azY7ZF1RgolSzB1PMUxhiuu24TX/3q\n1l/6ekGgkFLQ25tttIw26uZoWvI1okjguQmuYzdDpQSua83irrzyXorFX5Igp8vky3/HRy//Ob4b\nUi4bfLdGd2eRrB+lOh7Q1VFhycJJlNKUyg5GdWNEgcR5Pol/OsZdBKaI1AescZhstyJSpkQw/T4r\nGDWjZqkWYTteZOpAaxCmzPd+di7bdmhaOvqQyuAoS2QsVxwSbfUepHIp1/JkC718/otv4bOfO5tP\nX7WRUknjO8X0ThxaCjErl5TZuX3IuuZi12rG80Y+4VtSSmmF1kSEpIwkIo51GmRCnAjWrKhyzNoy\nrqtxHE0tzJIkmve970Re/vKlDU6IMVb+XAiBUqZRfIoT2WhPBYExgiV9k9jk9C/K6hkgBGMVRGv5\nv3vSo0W8BxX+FGTBXk9IkAVU/DAyfqxxXBB+FS36UsG3wwfK1n8nwpDFEKBFL4laR63wfmqt/4QT\n3mk7jsSclmQhwET2vTcaI7OHPX8Tz200yytPwOmnn85NN93E1VdfzTe/+c2G4duMBHoTzwxOP72P\nu+7aPy/wMMaKQa1c+cy7UK5b105rq0cQJKkaZhWdFvqNsboOU1Nho9WyUHDJ512MgW99awcXX7yq\nseE9Faxe3UpHR0CxGLFuXQcPPzxmnWUFLO4ps7x/gtt+NmOIZlDpLXsu5yCloFqNuPXWAc4/f/lT\nvqZfvhYZb2XN0gG+/sl7eXxnN1FU56hVI1zy169luhQQ+EkaAAimSlnOf0WJ2PsDVJRDRCPI+IF0\nRD4I1wYcMxAeQk9g7+QtT8eoBWhiZDJggyohCDOXcctdi8lmpzGqj66eKYb2l0DMJ277vkQIhedn\nmS5GrFi4ldrUnWBehPUWqSOMSN1PlR1Tij17ig2H33rd+pDYBJABkxCGmiSOKOSsI29LEFOqKAr5\nEFdptu0MOO6oMi25iNaWOm9869mccPJRZDIOJ57Yxfr1O7n//hGSRKcaKgYhJFJpTGIwRiAkGBRx\npGlvqfLKlzxOteaRCeZ2xh0602GQaLWMSucNGPXkOjEq3pja1GeecBqNCu8DZT8jbrwBVCeJbEVF\n96XOtIciy6eOtiJjzeFEACbBDW8jyZyHMNNp2SYHNIRjGmuLUMTBuU865iaeu2hmOg6BE044gRtu\nuIHdu3czMDDAD3/4w2bA8Qzj1FP7WL26lWLRdmVEkdWguPDCFQ0jsmcSSkn+/u+fh1KSajXGdSWu\nq8hkFNmsaqhjSilwHMmRR7ZDas0ehvqXzjoIIfiHf3g+hYKL1oZVq9roaIf+hRXa2wT7hrtoa4nT\nEovBdW07qBCCtjYfpQwHhveBnl+a2rOnyA03bOPmm/c0eCKArfmH94NwkGYSpSTHrBnkpKP2E/ia\nK978Y8urqCviWDBV8lncW+Wic/cgdAkZbUaxDUEVQRXJJKQlgCdMDO0eA7o8e2nZQ6JWU2m7nkr7\nV4myr2XBgkyjrbW/v4XevhZcVzVKW0Gg8DyHlSvt45MTdfzSJ2hrW8DCnimiyCCwQmfCTFMqK849\nb13jmqVSTEuLTxBIXCduZFKMESSJoVbTlCsOB8atvHkUGXwvwXcTpJTUQ8ufSfA55qTTOPX04xrd\nQbZl+QxOPLGLnp4M+byD71tTOm0kvu/Yz49jOSm5bEhXZ5V//OwZ/NHb/5hP/ddpGONjswSzPjWz\n3iUS8Ki1fOgXBhwARnQ1BN7mvRUYtOqd80AGMCBdjCwAh/u9s9b0wkzPOSZpBDWxd5Z1vRWCxDnC\nzkGHNsMhfOq5t2DU4f2Gmnhuo+m90sSvjd+GR4GUgrPOWkxrq8fISJW+vizveMexnHPO0qflek8F\nM/PWOuDqqx/ka1/byvh4jampiJUrW1m4MMvkZEQQKBxH0tLi4rr23zYr4mCMwXEEl1665pf2aGlp\n8bjgguVMTtbZvHmCjtZpPKfGzn1ZCrmYNSsrTBcdShUHpQSOo8jlHNYsL5LU9/DWS7/LwuyNiGQf\nsfs8rr12I5/61MNs2DDKPfcM853v7OKYYzpTq3uDW/3aHOEpgRRxoyOlryfh7FMfIYpdPC/h4lcM\n8Dd/dg85dydSTyLNIHaDlMyUCAQhRrSCzNkJGXvXXM/+FYJpZDKI5Q44hLk3kATnNDoaFi3K8d3v\n7k4dZgWtrT6uK9HacPLJ3fT25li8OE8u5yIE/NnruymYbyJMhecdtZGb71rBVDGgVneIE8UpJ1R5\nw1/8IVLZbEcu53D77YPoaJypaYjimVKADTxmNnttJEJoMkFCIVcjjhVSSrRRLOhUaGcN737PC2lt\nnd9hlc06nHnmYkZHazz00BhRpMnlFNmslVbP5Vx+dMsrWdV7O4ODNdpbarhOgpKGDY/2k8/B2rWd\nCBMiUuM1S9bMYmQb2lmBTAZR8aOAtpv4jPaGMch4CzLZAnhoZyVO/eYnuMbGIDOE+XcSJ1Y4sdDS\nTZDcYeXSZcuc9+fQEMSIZByhhxH6ALH/GrR7DEZ1I/UuVLzNfg5MCWFqVvjMP5Uoewnz3GSNQSbb\nEMmwzYwdykPmaUDTe+XpQTPoaOLXxm/rl1Mpydq17bziFUs5++x++vpyT9u1ngriOGZycooPfOAR\ndu8u4fsO09MhExN1qtUY31cNMzZjDF1dGSqVGGMMmYxDPu9SKkVcfPFqjjtuwa80hr17S1x77cO0\ntHhksw610gRjkz71umJRb52+7pAkMZQrAUes7WBxb5lKeZjTTi5y0SsPIISE8HGuva7GtZ85wMRE\naMsFLR7Vasyddw5y0UWrEFKionsQehyhx2zWRigbOOABkkIu4gUnTHDO6Xs5YjW4cgzQSHOA+eTH\nmQ1cI0wVIzsQuoiKt2KEhxPdgdTjhJlLCHNvIspdhnaPnjfvtjafnp4M998/Sq1mCbxr17bT359n\nYiIkm7VCaOVyxIUXLOG0E7bh1m5C6HFa8lX+6KXbWLlkijXLJ/mLS7Zx8XmTmOBE68oKZDIOlUrM\n449sZbqYUA9nuBRzswsWxkiiULJs0QSJloSRDwKWLa7wtne+kOOPzXEoS/ZczuWFLwj4xo2PEoUJ\nSs6Ictn1X7W6g//4imK6nEUS4XkChIvnxmzdu5gLzl9EmHsLItmLUYsxqgUjF4JsQ0WPIROrGurW\nvotX/QpGBGjRTmb6vXjVb+DUf4RT/wEiGSTM/w0qfiAtb1n/lFrLh0AtaPx+59uPxXEiVPw4lrPR\ngjBjc7RXDoaglhrUaRs4mDEgwanfYQ3m4s0gPLR7pA1Gkt044V1WfVRIRLSTzNQ78Krfwq3fjFv/\nNola9lvJhDSDjqcHzZVsoolfA48+Os3wcJWWFrupFAouUgrqdT1HKApA0NER0NkZsG3bFLmcSzbr\ncNllR3Duuct+5et/73u7Z4mqFBibasGRMVEsGTsg2bk3x3TZRycxwwM7OeH0rbz2lYO88AWzXitX\n/esxfPEbVZLEx5iEHTum2LZtikzG3vW++c0/5hOfeBEi/7dkx/8UQRUlonSzcbDy5QKMAjRarUDG\nj6WbDcwPOGbXAwSxeh5xcBZu5X9JnNVzsh4Gv/pFqt5JmMMYlp11Vj8vetEi9u4tksu59PRkqdVi\nvv3tXfz4x/vIZBxe+0c+LznyKkS5ZB1QzSQg8LwcL/mDfUCCdo5Ao5guZVBBzL33DnPrrftYsCDA\n9TK05scplv00w3FoaCT7hls5es0wUOLtr9/LeWc9gvJ/BhMGrfqo59+LTAaQyU7b/mtg5JF/ordj\nHT3tgqHRAPBZ0NuPlJIPf/g+JidDpBQMsJiWFocj1uQQ0qdsBPXWc8CEeNX/wJgEhJXcV/V7LN/C\nxDhpx4/RGfzSvxCYq9GqN+XS2LV26reSuMdSa/s06Ekr5CY75s3PF7spVD6NI0YxsgOtlqP0T7Hl\nkwpPBoMDIovUw7jlb+BW/9dmuNAgNMJUkMn+NOAxEG/Gn/4I9cJ7yBTfByaaJZYaTVD8Byrt/+8X\nduQIPWGvLQtPelwTv100g44mnrM4cKDGPfcM4TiCU0/te0a4Hfv31+YFF/m8S6HgNjpqMhlFqRTT\n1uaRz7sUiyG9vdbHRGvD8HCFKNKH7Mx5KgjDZE5ZRuD47UQT40Sx5sHNrRgtkFKDEExMefzsoV6u\nveImpF6AkcsYGPK5+/42fE9TDa0GRRxbAzRjJFJKtm8v8s//vIEPvK8VIySJWInRgzgiAQRaLSPy\nz8INb8OIbNoKGdGQAhf5tL4/FxpQVNv/CSEUbu1787MBQmCMg1v9OvXC5Yedv+tKVqyYJRIHgcNF\nF63iootWgTFkJ14HxmBkC8Y9Ghk/itTDGKNABhi5mJ/8vI9//eJaJqrb2LbtfhxHsGJFCwMDZXbu\nhIwfPGnAYWGo1V1edcYmAj9hYjxh32DI0hX2MynjfeTHziFxlgMKzxhI9vDtm8/hvoc7MAby2YS1\nKyfJ5trY8JChULCfpWo1QUqYmooYHklob9esW5cScIVHrfAPBMUPIPQUmCKCMgaFoMqMToaggtSj\nlpKBto6vjbXO4da+RRL8Ici2g3IWKt7JUv8alM4jlA/JAbz6D9FyKUb2gd6TtvIeCql/jRCg6yh2\nYhIPhA8mAmLLrUlKGNmC5XckuLX/Qat20FMg54iaCYnQdZzaD4mzFx36itF2/NLVCH0AAO0sp154\n/3zSchPPGJrllSZ+bTwTachvfnM7H/zgz7n77iF+9rNh1q/fxZIlefr7f3N3NVGkueuuQX7yk0GE\ngO7uzDwNCzvvKX7+8yKeNzNvwYIFAXGs6e7O4LqKfN6hqytDECgOHKiRy1luRxxrHn74AI88Ms5L\nX/qrtWK3twfcdNMePM+eb3DvfianFPVQobW03+FmxuJdMDH1/9k78zA7qjrvf86pqnvrLr1n66ST\nNNlZEnbZ90VcEBXfEQV1xnGcwUHEHReQEUUWFUEdXEbHBV8FlwEXBBVHkSWgQZKQnexJL+lOertr\nVZ1z3j9O3dvdSXc2AoLv/T5PP3lyl7pVp6tv/er3+y4+R87dwRGztmPkZJ5+toHfPtJMQ71kx840\npZIaFhNgxwyzZtXT2Vngzeffjyf70bKBcpjCdW0xI9CUGm4hTL8JN3wMGa1EGB1zDXyQPsIIhuf/\nNn22mP4EOn2RvQMuPRhLMUfDyDpU8ryDWhupNuCW7rcXOMCmo06OuQ8C7c5h1YbJfPRzx2AS8+nr\ni9ixo0QQaHp7SwwMBASBplQe/t2O+1nCGmqs3DCZju5Gnl03hV/8fg7FouT4o4vIaD3C5MBptHfo\nQvHBG+fzn98/nCB0iJSkWHLo6EkxoXGQrh1J5s9vpLExSU9PCaUMjiPI5SKmTUvzqU+9olpkG6eF\n0H8DKnE8Qu3EiVbGaz/aQEygQCQRRBg5ZbTjp0gQpS4e89iSuVvQYQ+ul7bheGbA+nmYLjAFrCvq\neJbxFRlwCoHNwLHFpUGQH+E7orAdMxcwaKcNR220z49Q1QjViVSbcMJlONFalLsA5Aj1mh4iNXBV\nzE/xQDgI3YMbPE7kX3xALqe18coLg5p6pYaXHbq6Cnz726tIJh0aGpLU11sS4ec//1cKhT0dJA8G\nPT1F3vnOh7n55qf50Y+e42MfW8wHPvBoNXW1gsMOyzBvXgO5XBB3Bwy5XMi8eU0IIUilXFpaUkgp\nSaftnWt9vb0ICiHIZhOsXLlrTLOu/cG8eY28+tUzyeUCnlu3k1wBMmmF69j7Va0FWlsPCGOgHDjc\n+s1TgQhMwMTmATxPU4qmYIwhCBRK6fgiJ5k7twEhbKaICnpZt6mBz315Kjd+aRqPPpXFRHmE3kGq\n70rQIcXG76C8k9DufJR7FEamYk8GHy2nUcx8mGLdjQxO2kDYcI3dRznDejbo3e6WTYEoecFBrUu8\ngbEfdSYQ+pdSbPgK37j/nTjpBQiZpLe3hOta0nJ/fxB7qcBYPA6LymNWThspSeeOerp3ZvCTEdl0\nwE8eaGTT1qQtOIREGNsBG8p5/PCXC0kmI+qzioRrEBKiSLBpS4LZsxtIJl1SKY9FiyyZN5l0mD49\nw9e+dg5Tp+7GZxLSylOdiVS7C3ugwkup5NzEbzVDRMmzxl1FqbsxeGAipNqCjNZhRyoRgmDEmG3k\nWokR/ydWKkGFSCyqyqVhR1VhCqBDa6FuAtAlq3iJDcpktBmptgIaI1uQ0TpSA+9HqN7hIyz/xm6n\naplvQAc4wVLc4s/AjJ+nU8OLg1qno4bnjRf7juC++zawbNlOksnhzxJCxBf7RmbMeP7djuuvf5Ku\nriLptEci4ZBIOHR0WBlnhfRZOe7XvnY+nuexfXsOz5O86lUzWbduACEEvm/lj4mEw4oVO+Nsk9FK\nhnw+YsGCpv3yGzHGsG1bnv7+Mg0NCcplRbGomDgxxbKlnUxs7mNOe46+AUmxNNw5cGTFZ0JQVyd4\n1Tk7qWueRdOko/nSt6axaXOA5wlrbhUZEgmHk06aTCrlEUWalhYfz1H8xxca2LZdsGOnz28fP4xV\n65u54NTVSPII00OUeg1GNOCET4HTjHFaMXICRk5EJRYSNNyCTpwI0t6lO+U/khq6DqF7cNRqa4ku\n6sAU0d5RhOl3HrRawYhGvNKvrBJjxDaEKVDOvgfjHc49924mCKw5V39/iVJJobX15kgmXYJAjZm/\nMgyBEJV0VesKWyx5dO5ooBw5GC2or3c4Zt46fvzrBdz2rVP5+W8ns25jHY8vacCVhkg5aCNwXUPa\nj2hqqefY41rp6yvjONaxtKkpSTrtcvXVizjmmPETY43I4pUfQpghqAaw2c6SEWm0nAJ4cVdJgymj\n3dkE2WuGL9S7QRb/gA478cU6hBlEmDyjuyh2NGiQaNGKEMm4A2aqr7Epsz5GTkSaXTCiEzO6BLKy\nZ6F3IUTRdqUIAYWMNoEAI5sxcrLdX1NEUEYlXgGAW34YqTbZ49M5ZLQMqbsQZghHrcYNFtsCawxi\n7+6odTpeGNRWsoaXHfbmGp7LhRQKEen0wZ/aQaDYuHGQZHI0zyKb9fjDH7bz9rcvGPV4IuHwtrfN\n521vm08QKH784+dYu7af5uYkzc3DtuJNTT4dHXna2kYXRZ4nmT49u8/92rx5kBtu+DM7d5YQAgYH\ny2zblrc5HwlJsaBoneiwaauHVqPvaMNI4DjgJxTZdMCaHZcx4dh/YfXqXTQ2PkqxaIu2ipeE60qC\nQBMEikTC4aqrFvHp69eR9bsQMYk0mYj4y7PT+PPyGZx49ID9wo+eQ3knoZJn4ASPI0xoTb1kE+W6\n60YdjwzX4udus86VzhSUbESqLUCBct11qMSp414I9wtCUqr7BP7g9baYARAuYfICtHcMAEce2cxv\nfrOVTMajtTVDX5/tRFScSD1PEEVj2447jkEIByk0fjKkWPLibpJHyUDY2QAGbv3PJn5431uJQoki\nw5YOn1JpIrm8Q9EdaZMvKJZcps/M8MlPnsAHP/gY27fn6O21hNzTTmvlootmsDdobyGhfxGJ4g/i\nXS0jULHCSKCSJ1HKfgI3eBSptqC8V9gLthifU1RIvoNs8e0IE1Yty0d8InY0EsuhRT2aEGkijPAA\niTYKIRoQZidC72BkdwNGFhyaCgcF4aGdeXYMJlsxshkZbUHLqZbjURmTiPQo11TlzCcRfSPmcxTj\nwif2LxGNCN1FMvclyvWf2us61vDCoVZ01PCyw3nntXHvvetiF0f75VMoBGzcOMhXv7qMr3/9WebO\nbeRjHzuexsYDT6C12xx79ru3XJK+vhLXXPMo27fn2LWrRF+fLQqOPLIZxxHU1XlkMh6lUlQNW8vn\nQ9rb61iwYO8ktzDUXHvtEwSBJpVy6e7Os3y5Jco1NfmEoaEcKLZ2plAqidb2DnzkBS3phZx0XJ7Q\ntDJh5usAWLy4uypFruTECAGbNg3S0pLgnHOmc8klh7F13eOU8zvx6xL24hPDcxUPPTqbVyz6AxhI\n9b0PI5NEyQsp1n8FJ3oGIyehEicCDjJYghs8iXam4gRP2rZ99QLio915YEKUd+zzKzhiaO9ICk3f\ns9bbuh+VOBnjDnu7XHHFfB57rItCISSbTdDWlmXr1hyZjEsQaNLJIqWit0d+jSM1qaRCug4S8NyI\nYslDa4njaISAYtlDCujtE/T0t+E5Ueyiq/CTilzeIQgdHIeqhTzA9u15wlDz+tcfxu23P0O5rAgC\nxYMPbuZVr+rn7rsvYPLkceTiQlCuvwntTCdZ+CYYjZb1IFKUMh9ApS4CIEq9Yez3jwHlHknJtOGx\nCWGsJ4iFxMbWu9aTgwBHr6FCEq5M7x00kZyDo3bFXJPxRlUGQYSWTWhnepWLI/UOCvWfs1Ld3c8J\nU7DnDIDuJ1n8NkIPIEYpauJYArUO5R2DEy5nFHGphhcVtaKjhpc0Fi/u4t57n6NQCDnjjKlceuls\npk7N8La3zefuu9fGHATD+vUDzJxZRyplRwqrVvVx7bVPcNddB55A63mS+fMbWbFiV/XOH2wX5Y1v\nnD3u++64Yyl9fWWam31SqTxBoCgUQhYv7sL3XZTSvO1t89HasHp1H319ZRIJhwULmujpKTJp0vh5\nE0uW7KC/P6CuzmPzZitpVfENZ19fqWo2NjgQYYzEdTWOY1CRwHUVjXUBfqaOUM5kxow65s23Rc6k\nSemq+makOdnEiSmuvvpoTjhhMgCDzoM4TjPWn2G4dR5GkuYGO99HZDHSB+Hiln6OdqYRpWInXxPh\nD34EJ1yJERJhFEJtxMjZGGd31ZFGmCGbRHsoIDNE/ivHfKq5KcldX57Hf39nAytXK15xvMMXb5qO\n8Wbx/R9sYfUzvyOMWghCl1LZQQrwkyGep5jUlEfJafT2BuTyKVxXoZSICwjrd5rORGgtKQcSpRIY\no/FTCQwurhcRhqb6e7S/A9i1q8Qpp/yEmTPryOVCcrmQMLRjniVLejj55J9w1llTCUNDqWRt96+4\nYh4XXhh3QYQgzL6HMH0FTvBXEAlU4tj9GimMh7KeScpNIWUiNurqQlTPhQBTLcsqXSFrHW8t2bNI\n3QnCxdAQj352RyWc0EW7c/Z8WqaIkufilh4AkYkl2gGIBGHqMgAShXtih91Kd2Nkh0rb7oepdGVq\n+FuhVnTU8JLFd7+7mh/9aG3s0ij4wQ/W8qc/dXLnnWfwD/8wl3POaeNPf+pgyZIdCMGomPhUyibQ\nPvfcAHPn7l3PPxY+8pFj+dCHHqera3h8ccwxE3jTm8YvOlat6qsWKfPnN7F8+c5qsFcy6TB1aoan\nn+7hkksOY2AgoFhUJJMOv/71Fn7726186lOv4Ljjxp7XDwxY+/fe3iKdnYVRFyqloL8/IJ12EMLg\nuppEQuM6GkcacgWPUuAwcUqaE06YxAc+cEy1EDvrrKn893+vJIp0NfslDDXNzUnLHdB53PIfOGLG\nn2lpOpOhIUnCkxiUlV86hjdesBwQGFE/fCcqMnil+6qKCLf0K5xwRUwMLNrWu6hHqtUo5/jhgzEG\nhG+TUV9gCLUDf/A62pwurn9nHhltRsvJILMYkeaU2/6VcMtPuOwDFyGMQEjDpm3N9A2m0Ebwtku3\n0jLjBG66ZRX5gocrFWHoIqXBAEkvIgqd3Tghkkh5uK5ACIWUtuiohL9pKwgilwtZsWKlNXNGAAAg\nAElEQVSXVYsI0NpUtzM4GPDgg1uoq/M4+uiJFIsRd9yxFCHgggtGjF9kPcofnyB6IOiJXk+TuRNI\nWI8Ok8foPBBhCK0yZg/YHRYEYHKxhBf2Fha3x3MmQDszQfgEmfdgZAte8edgQrQ7i3L6aoxj/2Zk\n9AyITKyIGauwUAjVReSfV+ty/A1RU6/U8JLE0FDA/fdvoL4+ietaq+u6ugRbtgzxhz9Yw6O6Oo9X\nv3pmLEfds34ul1V1Hn6gaGry+eY3z+EznzmZq65axO23n8FNN52y11C2kR2VZNJajqdSDq4rSCQc\ntLYEze9/fw3r1w9SV5cgkXDIZi1Z9Ytf/Ou4MfdHHz2BZNKJCw4zitdiL0pQLCqEgOmtBRKusrbZ\njiaZiJg/a4hf//oNo6SWYF0xb7rpFLJZO/YplyMmTPC55ZZTSZiNpPvfQTL/FaTp50vX/oTmhgKF\nYoJc3kcbySf/9X9pnZTHkES7c0fslAQznP7rlh4EvQsnfAYnWoUTLreERGNA9dl/TYAwOcrpfzok\no5W9whj8wWsRugupOnHCZQjTj1Tr7cgHl2T+K7hTP8ZXr7uPTCagFLhMnjDEiQu38ov//G/+6eov\n8pOflzhqfp6W5hCEwHE0WkskhjB0CSNBGDlVZdPw78tUf2/x7oxCJZVYKVN9vnJ6KWVzXfr6Alat\n6kNKSKc97r577Qu2XCU9l7x/VUzIVSj3cEL/VdbkrKpCGQ9lBENxL8QwtllcBRqhczZ7Rw+BSFd9\nWoTuxQmXACVslksG4wzfUBinDShjhE+VG7IbhOlHy1aSQ7filBfX1Cx/A9Q6HTW8JLFx4xDlssLz\nRhPckkmH3/52Kw8+uIVNmwYxxoZ7FYvhqFEI2HyLOXMOPoFWSsGxx07k2GPHVwuMxEknTebhh7eR\nydgRTy4XUiqpOE5e0d1djEmgggkTRid6SikYGgrp7CzsKYcEpkxJc9FFM1ixYhdBoJGSUXfQlTvl\nCS0O82YV6O1L0NmdRClBc2PEpz/h0dA4dnt97txGvvOd8+jsLOA4gsmT09YRtP8zw8ZaIs201mf5\nwed/yoZtTeSLDgsO68NN1KNNI9qdP+yHAbH6ZOHw/uldSN0VqyZs4SZMHiMzhP5rcdUKtGwh9C9H\nJ47cr/V+PrAjgh1ItdHGqcfJqIIQJ1yKSp4COiIZPEz7DJcff+n7PLd5AlEkmdPeS9j8VZ5ak6dc\nlvjpCSw4rJtIuRSLZZY8O4EgdG1SLOCnXBIJh0IhQmsIAk0U6TjSfqyCg1G/39HOtiNfJ9i5s8Sm\nTUO0t9eTy42fg3IoECTOp1D3KmuDL7IgM7iFX5Aa+Cd2J4fuCQ14GALEHqOPYQgijMmDSBP4byHK\nvBlEAkyAP/D+WHpszzMnfIbUwEcoNn4Nmz58BalgMVq246ilY++PHsAr/QKEixP8Ae0eQan+5he+\nyK2hitpK1/CSRHNzcsyuQhAoFi/upqXFr6pLCoWIrq5inBmSxBhL0Dz//OlxWNmLgyuvPIpt23Ks\nXdtPf3/A4KDNPUml7J2g60IU6epd7u6wvh7jqwiuvPIoNm0a4u67VyOldQsNQ7s9KQVz5zYwb24D\n/T1FJrYMMKm5TL7k0TrF5ZQL3rPP/W9tTVe7NULvsLbUVWMtF+UuRIhO2meWGCrPQGdOI0idgnIW\n4uf+A3QOSIIZBNlMkPnX4WOLxzGjbz7tXXOYfTfhvvgGJsItPYhbfsgqUPw3ohKnH3SbXOihWP5Z\niLsyw3sKgSUjqk7QXejksahI0d6+iSBSDLQ8SCI9i7q6fhxHoJ2ZGJHFkZ1kXRc/nWBSnYMUCXb1\nW5mzUoZs1uOCC6bz+99vI5/XlMZpwmltVTOZjEM+H9km0O5TB2OLkYrhXFtb9qBI0wcM4WCcydX/\nRv6FMJAE8uO/p/JWArQzAyUm4kSLY17QsNeJhUKIDEYkSZR/gvLPxLgzccqPIvSu0ZbmIoVU25Dh\ns+jEQow7k1Ldp/FzX8CoZSMkuzBMVM0j1A6QKev1Ea7ALf+OyL/o+a1LDfuNWtFRw0sSbW1Z2tvr\n2bhxsNrB0NpQKNjU1pFyVt93mTYtwymnTGb79gKeJ3nDG47gvPMOzuXzYOH7Ll/4wul8+9sr+eY3\nV5BKOZRKmmIxIggU2ayVLba1ZSiXVXVsBFAsRsyZ0zCKl7I7CoWIc86ZymOPdbB5cw7fd1DKFhyz\nZ9ezcGEL11//Cu68s5HlS7chKPKKUybw3mvOsvbVu6FcVnzta8v5zndWUyhETJ6U4I1vnMN7/v1o\nks4YxY9wME4rIW1sGPx3pk+aju/b/S06XyU1cBUyWm3b3tThBI9WVRJGNmDkREQ1/E2ASGKcWdYO\ne29FhzH4gx/HCZfbO2wM/tBNhP6rCLJX7+dvZzSUOw9Q8dxipGmWwZpXDSHMAMqJg+ZcByMP45ln\nNd//xS/pHjicvr4Sa9cOoJQN85s+/SiMAcfpZcbMJhIJB7Wun23bcnFhCL/4xUbmz29i5cpd4+5b\npY5qa8vQ3V0km/Xo6ChURy3VY4hdSrU2DA0FfPCDxxzUWjwvyCTlzHvw81+EMXkdlXX1MKIO7cyy\nBxglsWOS3TskElMlimoShW9RrvsPZLRqnEZKhNSdaGxXTSeORYt6HFKMLoTi0RYaR2/GmDSobWg5\nHbf8UK3oeBFRKzpqeMniM585iZtuWsLq1X0YAw0NCS65ZBYPPbR1j9dKKViwoIlPfeqkv8GeDiMI\nFL/+9RaSSUm5HJsfGUMYGvL5gIkTU8yb18gFF8zgJz95jnJZ4TjWp+P6608cd7uLF3dxyy1PUyxa\nD5JMxkEpaGxMMHlymvb2Oj75yRNoaEhw3XUnAuNvq7JP11zzJ3796804MkRSZusW+NY3uhjo+TOf\n+uy/oJ1WpOqiFPg88PsW/ri4iSkThrjkHy7a45vDK/4IQXk4DdYYEoVvYpw2VOJEosTJtnMg2myL\nHA8Tx7DvK5BLhs/ghM/G2Rzx5kU9bvlhwtRlGOcgSKcyS5B8I766A2LjKkEBgwMIjFE2q0MOj7ru\n/eVkPnnrHEqBw2BuC1IKUikPz5N0dOQYGgpYuLCFq69exH33beDZZ3exc+dwO8MYy7tZtmwnUrLH\niKwC17VdLN/3+MIXjueBBzbzu99tJZcLUWqYCyKENZabONHnxhtP4qSTphz4OhwCBHUfwSk/iRs9\nhaDMntWBtCZfRiL0dutQSxrwRkhbbdfDkEJGK+yYhSToAVLhW3GiNQjdhTaTMM5cKmZvRiTiAtJC\nqG1IvT2W5u4FwgNjkHozESccopWoYX9QKzpqeMmiri7B5z53CkNDNgOjuTnJc88N8PDD2/Z4reMI\nFi06uHj4Q4mtW3Ns2jQYW2pLyuWoqkrQ2jAwEPDccwNccUWK733vAtavH6CxMcnMmeNfePP5kFtv\nfRrXlTQ02I5FU5PP0FDIBz94DO3tdcye3bCHNHjz5kG+/OXlbNuWI+HmeNMrV/J/XtuBTp7C4pVn\n8dRT3QihcEQREHgu5EsOixfvom/Lt2huux7TfS3v+dgMtnb4ZNKaVRvm85snA97+jj6mT487SSbE\nDR61d6gVCAEmhVf8ASpxImHqLbjBYqTqjB1Hy4CinP3APtfUDZ7AjGFeJUwRGa5BHUzRAYR1H8AN\n/oKjngWRQYt2myUisxQbvow/+Okqg3NXv8OHPzOfIASlPaKo0hWJmDgxy4IFTRQKIbfeeiptbVl+\n+cuNDA0F1aUYydOwHQuB41gvlYp6RUrr5bJwYQtKGebObeQNb5iFEII//amDRMJh164ixlhZd4Wc\nevTRE1/UgkOorSQKP0CobSjveMLUGylO+Bn+4HU44WJEuAmJTfM1ZNDuAoTaYkPnom3x4wkQKZQz\nFxF1IemPSxWNMCWEKSAIkHordgznAxGO2opRA6jEiQhyRO4xGLc95mo8gBM8iYy2jBjcjMU1ice2\nwobLaTmTGl481IqOGl7yGKm2mD27nqOOambp0p1ks5awae8wJ+zTYOvFQDJpZ+yuK3AcB6UU5XJF\ngSBob69nypQ0d931LKefPpWjj54Qj40iUilnTE+Rp57qplCIqgUHVJQyhv7+Mul0M089tYMpU9LV\n4mXHjgLXXPOo5ROUe9gx2M3tX/PZ1Zvi39/2Q1Y8sYpS6SgcUWYk0cIoGMwl6N32BE0z3sk9f/oY\nm7qfpqFRY2QdSXycKOIHP9jGxRfHRFFTYkxioHAROk6XlVmKjV/FLf0OJ3wS7cwg8t+AcfZdKGqn\nFWEUewa9uqPUCwcMISg2f5Nk/is44V8BUN4iypn3gqwnTL+RROFuDBn++54ZlMsSz9OUQze2PjeE\noaK/v8zMmfWUShFdXZYInE57ZLMeAwM2mt4SRiuFynABYiWxpspfamxMkk5b6/lk0uHmm5fwyCMd\naG0ol9WItFs7VpsyJU2hELJtW462Nutqq7Vh7dp+wlAzf37jQScYjwUZ/BV/6HrsOeMjox/jlX9L\nsfGrlBo+h1A9CN2BUAN4pZ/GpNMMDtqOPdQq0CUEOTAlZNSHcuZhaECqjUA67oRVbNINdmyTp3K5\nEvQjw1WU695HmP5HRLiZ1NCHQPUj1Wak2cnwqGf3gkNgRMKO9HDQzkSMN74MvoZDj1rRUcPLAvl8\nyJ13LmXJkp44Ct7mmaRSDpdeOptLL519wCZghxq9vUUeeWS7HVnHvhdSSlzXGhLV1Xk0NiatW2Ux\nYu3aPlau7ON//mcD5bIinXZ5+9sX8MpXjra63n2WX4Ex8OMfP8f3v7+GUikimXRZsKCRT3/6JO6+\new1BoNm8eYBCLo/RWYSE277ezptf181hUzvIpOZQyBvkyGuSgHRKM6N1CCjzxz92k61vRo9YWykF\npZKmu7vIYYelYlOweoQuxMFens1W0XlU8uQR2/aJUq8lSr12z4MJt+AV7yFMnA7+KaOeipLnkyjc\nHWeoVIK8ymhnEtp9nkoXma1KMvfYpfRb0U4rieK9rHiuAcd1UKRwXUkYqmoQnuPYgiGZdGhtzcSF\nhE0bHhgIRnFdKzyebNZhaMiOAIwxaK1pavKr+TvFYsRpp03hW99aSX19klmzGli2rLfaNfF9l3Ta\nZe7cRgYHAzZtGqStLcvGjQNcd91T9PeX0NpKot/3vkWcfvrU57dOdkdJ5u8A/Op4A1EHehAv/x2C\nuvdjnInWN8MD5Z8JgFN+HGfwU8hobXx+lOPxh1WxSLOTcvpdJPPfRJpuqI5Gdj/vK26mDhDhBo8R\npt9BMv950LYLAnZ0YxNtd9t9iPc9ixENNodGaKLEac9/bWrYb9SKjhpe8jDG8IlPLGb9+kHSaRfH\nkVUn0jvuOPN55azsjv7+Mr/4xSY2bRrk+OMnct550/fIYBkL3/3uan760/WUShFhqAkCTTJZ2X/7\nb6EQ8eyzO0kmHWbMyPLII5386lebqj4dYai5886l1NV5nHpqa3XbJ544Gd93Rtm+G2Po7bWR583N\nftWnZOXKPu6661mWLt1JR0eOfD7AczQ49n35gsvnvz6TG655jumtA+zoSRNEhoRriBS4juF1F+yg\nsdGnSIrGxgSdnfk97paFMMPrLgQ6kiSj3456TeSdTpj5x32uXabzSBys94qfB/AYmrAEvLj4knWU\n6m8mmbvJKmoQaKeNct2nONgwuL1BqG4SudtxonUgXCLvZKbPPZXsX9bT31/G8ySlkqr6bkybliaf\nD1m0qKXabVi4sIViMWLbNutMawsU8DybofLd757Hb36zlf/9322USopt23IIYbt2qZTLRRfNwHEE\n5bImlbIdkFmzGli/fgClNHV1Hocf3ozrSnzfYfLkNL29Rd7ylt/ETreSadPsvtx6619ZsKBpD5n2\ngaOA0ANWwjoSMoMTLR/3XU74NFKtizsYFZ8Oe+5YC/WAROmXsQtt1nZB4tHVnog7H8JHqG6c8h+R\nahsQ2B/hYBVUlW0AceqtFTCHGJ1DMIQ0OYr1t4N8Ht2yGg4YtaKjhpc8Nm4cZMOGAdLp4dTURMJh\nYKDMww9v5eKLDzskn7NhwwAf/vDjFIsRyaTDE0908dOfbuBLXzp91Ihndzz33AD33ruObDZBKuXS\n2pqhu9t6XrS3N/Dss30IQVwwCUolxfbteR59tINs1huWqQpLTPze91aPKjoaGhK8+91Hctddz1a7\nHpUsl6am0aqURELyzW+uIJFw7IUMQyYtSXj2fa5rWLEmy5e/M41S2cf1UuSGipQwTJ1c5qNXruef\n/s8GypmPgxBcfvk8Pvzhx/G8kUobxWGHZWhosGsiC/eTjP5nj3VxwscsGXMvSO24pFpwQGXQE1LX\neyJDrd3Vx7U3l2LjtxG6F4S7z+0eNHSe1MA19o48lgu75Yd55yW9/PGRk9BaUSgYMhmPQiGiqSlB\nS0uKM86YyrvedUR1Mx/8wNF89CMPEQVJ1q0PKRYjslmPN71pDjfc8AoyGY83vnF21VZfKc2yZTvp\n6ytz5JHNTJ6c5tFHO+jvL7N58yBhqFHKEIZ2jJXLhXR05GlpSdLe3sCkSSkuv/w3bN+eJ5l0KBYV\na9b0M2NGlkzG48EHt3DFFfOf5+IkGdNP0iiMHDuwUEYb8EoPgLEE3WGFUJzhEhcwQm/HyEaEGYxr\nhb2Zdhk7lhMObsmGDGJK9kek43Ef8b5WfoZTba2Lqo+hxX52tAnjzKy5lL5IqBUdNbzk0d1dpFSy\nd3wj4bqS9esHDtnn3HabnetXCoxEwqGrK8/dd6/hyisX7vF6YwxbthT42c+2xsRCi/b2OlxX0tmZ\np68vIJNxkVJUA9USCUlra5q+vvIongbYYmIsk6dXv7qdE0+05mNKac45p40Pf/ixUZ8LNtOlWFTM\nm9fE9u05QJIvejhOgDGCKZMCuno8vv+zNrRstMVDfQPl/HZOP6GPd7w1RSl9G9o7AqU0S5fuJAgU\nTz/dj+87zJhRx/z59bzjHcPkzfTANWOup8Dg5f6LMPuucdfcVY+M80wZwi3D3Q4AIaqW1y8U3PJv\nEXoAM1JRIzPMnLSc/7j+Um75vKZUcnAcyVlnTeWqqxbt2QVSHUxSH+c7N+5kxbo027rq6QvPY+XG\nuUyalKJQiKoGchU4juSoo1oIAjtm27hxgNtvf4aNGwdjEzERd7oqr4fOzjytrWluvvkUfvzj5+jv\nD2JyauU1gu3b8yxY0MTgYPD8F0e4RIlT8II/YkScE2QMwhQIU28Z8y1e8UcY4aG9eTFvpnJux8WH\nKWLkZITuR7mtSFMPakvcFRkPtpCQUSdC7QScOIQwQGg1Rn6tYmQRIwgAB6lX4A99GONMx4h6ynUf\nR3vDhWMNLwxqRUcNL3nYILc9RxxRpG0+yCFAhQS4+wUkk/F46qnuPYqOoaGAj350MWvW9NLREVAs\nRjQ3+8yZY1Uk1qwpwezZDWzdmouLiQjHEWQyLrlcSDrtVo29KggCxcyZY7d7J05Mcdllw1bjCxe2\n8OijndULWLGoKBQi6uuTVX5BV1cBYyTlwGPOzCFSfsTyNfW4bgLpROzoGSCVcjjiiFk8ufIwcpmL\nqqTGL3zhGf74x+00N/s0Nfl0dxcwxvCRjxxNLtdT3Y+x5ucVOOGThIxfdIwHAaC2jy46XgQ40VpL\nNNx9f0zAcUcVuemmI2hpaaWhITO2Jb4x+IOfROgBfr94Gt/9aSu/f7SZwaE+kv4ypOPw7W+v5NZb\nT2XBgmbSaVuQ3nnnUp54ohutDY2NidhcrjzCKn3YQj2bdTniiBayWa/qyLtkyQ4mTUrR0VGojuGE\nsHygUklx7rnTDsn6BNmrEbkyTvAX7IU8QZD+R+vgOgaE3gV4GOkTecfihk8xTPIUCBTGFFDuLJuI\n60wFZypCD+GEf2a4SBkJbQPnTAHtHoPBIKM1CB1gvT/iEQsRe/JCYjdc8vbzjcKIFMKU8Aevo9D0\nvVEy6RoOPWrZKzW85DF1aoYTTphELhdUZYK5XMC0aRlOO6113xvYD1jS557tVWMYk9PxhS88w5Yt\nOVIph5kzswgh6Osr091tfQe0ti34N71pdtWLo6EhUVXcpFIu73//0RQKYbVlXi4rtDZceeX+kSOv\nvHIhEyb4DA0FlEoRAwNlpBTMmmX9LObObaSlxSed9mhorCPTOIeuXdPxU1mk4yGlwHUFxaId94zM\n+ti1q8Tjj3eRzSaIIs2qld1s37aTlSu6ufTSh3jkkd7qfmgx9gXNACX/rfs4ir2Ygjkvvn+C8hYi\nzBhdAZFEyTaEEGQy3rgZPFJtQuhevv+zGXzmzsN48ul6evsShEqQL4TkcgErV/bxutc9wLnn3sdb\n3vIbLr74lzz88FZc15Kje3pK/PWvPWzePEQQ6FFd/4rXR6FgSZVhqCmVFK2tGZQytLVlUMqOa5Sy\nTqhnntnK/PmHaBwlEpTrPkGh6bsUG+6k0PwDQv9VoPtHv84YnNJvkOEqy+mINiB0N0Y0YMgCrvVp\nEVkgoNhwBzpxFKhBUDtB9aDE1KqlF9V/Y36G3oWS7ZbTIxzbmUucgJLz0M4ctGxEOYdj8DB7FB6a\nYYO6Ci/JQZgCbvDHQ7NONYyLWtFRw8sCH//48bz97QvIZDx83+Gii2byxS+ejucdmlPYdSXHHjsh\n/jIfRj4fcskls0Y9FkWa5ct3VrsvdXVebLdu2L49z+BgmSjSfPSjx3Haaa0sWtTC0FBAGFp30kIh\n4p//+XBOO20qn//8acyeXU867XLUUc3ceecZHHbY/uXFNDQk+PrXz+F97zuaM86YytVXL2LRohYS\nCVk9poULW5g+PcvrX38YH/noiTQ2pSkWNYODIQMDAblciOMIenuLtLZmqgXW9u15wtDGk69bvZli\nfhBHlPDcEsXBTn74g3WsX2/lsPmWH4+zh1lInbPXY8g1/NeYjwfuKy3r8kVGlDwH7Uy0fh1gxwc6\nR+QdZxNo9wVTpFSGe385hbqsomuHjxAmVjRBFNm02CgydHTkePLJLpYs6eGZZ3ayYcNArIaxo5TK\nSGR3C/TKe5XSsVGcyxVXzEdrw4QJPhMmJAkCTbmsOPnkyVx33YksW9bLZZc9yDnn/Iyrrvoja9f2\nHeDKGJxoNV7+v3CL9wMCZBZ/8FrSfW8n3fdPpPrejVO4n1T/v5HpOZV0/78jdLlK+pSqwwasCQ/l\nHo3yjkV5R9ugQOFS9q9Aqk040TIcvRUhQgQ+tnNR+Tv3MNRjZDOI3RxQRQrjtBBk3k2x4SsYdyo2\nT2e4WBkuOMCQttupHqGIOzM1vJAQ/f39e0vpqaGGfaJUKrF161amTx+2xX45olCIuOGGJ1mzxnoc\nJJMO557bxlVXLRwlxw0CxZvf/BCuC8ViiVTKR0qHQiEknw+55ppjOOecaVVuiFKaxx7r5He/20ZD\nQ4JLL51Ne3v9eLtBECgee6yTjo48xx47kcMPb9pvOfD992/kG99YgedJHEdQLEYcfngTt9xyKtu3\n5zj77PtiJ8uw2tWQUtDUlOTBBy+uFjy9vUXe9a7fI3Qfy5b3E6tCiZSgrbVEc33AMaeczQ03xG31\n4iPU9b8FYodJJRdQaH5k/wqH4iNk+9+BoB/wKGU+TFj/4f063hcEup9k/mvWdh2HyL+QMHUZpXK0\n7/PcBOxY9s/868eOxE9q/vBEE5ESaC3QWu5RQABxzL2IXUoF2axHsRhRLiuiyIz5HiktD+Tcc6dx\nyy2n0t5ez2OPdfDud/+BXC7EdQUNDUkmTUoxbVqGhx/eRhhqpBRIKZg0yeeOO84cRVgeD6ViAd19\nLc3p55BS2pEIqVg5FFUJt0LtRKr1KGchjloZv1uhnblAgIzWg3DR3kKMGEnQUgSJi0kNfRyBNaoD\nMCQQVEihLhXli8FBOwswciqI0rCFvtFASDnzfrzyLxHRDpzwMQQhwkRYhYslsdolbUIljo8VL4DJ\nU2q4E+3am4y/l++1lxpqnI4aaoiRTrvceutpbN+eo6enRHt73agQLaU099+/kV//ejMbNw6QTDpM\nmOCMeB7e8pZ5vO51o9U0jiM588xpnHnmvufq27fn+NCHHmNgwN7l/uhH6zjqqBZuvPGkcVv6I3HJ\nJYdxxBFN3HPPOgYHQy68sI2zz27DdSU//el6MhmXQiGirs6rpp1qbXjf+xaN6rBMmJDiuGObeeT3\nazDGFk9ag+toJk8oAREDfSPullNnMpTazkEhdSa51MaDe+8LAdk4jnfHPqy1AUSCbNs/4jiLEWgy\n6Yj+AQ9jxJjFQyXm3phKjoo9z3Tsjy6lGNOnxRqLGR5/vJNXv/oXfPazJ+N5kpkzs6RSXkwoFQwN\nBdx338ZqB6WC7m7DHXcs45RTpuyzoPWiP+E6y0FOACntBVv140TPoRLDIzCpt8fE0h2AQhCCCZFq\nFco7DuUdj1QbhocdRiNMjjB5AX7hSyMs1O2PLUBGrv1wfopUq4mc2RjZbNOLMRiRJUqcTTJ3iy1E\nTDkelSmMSIwoPASW81FChkvQchZCJAj9s6sFRw0vHGpFRw0vG+TzIX/5yw6UMhx//KSqZPNQY9q0\nbNXjYCRuvPEvPPVUN5mMx4wZdSxbtpPeXsMRR3horZg+Pcvllx+cLLFUili6dCe33fY0YahHSXSf\neaaXX/1q0x5jnvEwd24jn/zkntkrXV1F5sxpYN26AQqFCCEEvm/b8+eeOzoczyk9xGf+7b/4Wsrj\n5q+diNaQTYfMntFHwlH0D6U566y/ve38SxHplvM48VSHRx9Zy5xZEUtXOBSLe39P7LaOUpqhoYBE\nQtLUlCSXC2NPkOHXAfFY0TqZFosRX/7yco4/fiKplOWbGGPYtGmQrVuHqkWLDQcEKSX5fMSWLYNj\nKml2RzJ4kHA37o1NDQ5imWrludB2P0wwSn0iTAknXI52ZhCkrkAIbQPcpE/ZfzdOuBp0geGCozIK\ngWEi6J6Fl1TPEHkXU2z4LOh+ZNSBn/s0xsTmYFUzOQcjJ4DeAWQAHX+MLXqk2jRzDbEAACAASURB\nVIROHE2Q/re9/5JqOCSoFR01vCyweHEXt976dJVz4fsO//qvR/GqV704uQmbNw+xZMmOajGQSnkc\nd1wLGzf2M3duI69//WxOPbV1v7oRu2Px4i5uu+2vDAwErFvXh+s6zJpVT3Oz/TLPZq3Pwj6LDhPi\nFX+EW3oYMKjkaQTpt1cvCqedNoXly3dy5JHNFAq2fZ9KOSQSDu3twxJRGW3Ez9+JcTO89507OWLW\nvdz8jbOQ0uB6goFckrkzenjlmXuTNf7/jQ9++EzS2WYeeWQ72exOtC5XAwBHolJs+L4kCHQ1AK5U\nMpTLZaZNy7BlS24MXoeudjMKhYiVK3fR21tECFt05nIh3d2FmJcz/FkVkqnlmJj9Mr6z44fRO2Bk\nJn58ZJfEA0oIE2KwYxj7vAQjkGo7YfodGHc0N8YNl1hnU9PLaOxpYT7ycam68YoPoNxjSRTvRph+\nZLgaQRCTRyvvT1h7dip2/SYeD/l2n0U9EJHM30m5/rp9r0cNzws1ImkNL3kUChG33vrXWAGSpKEh\nSSLhcNddy+np2cct5CHC6tV9BMHoi4bj2LvR+fMbOPPMaQdVcAwNBdxyy9NIKWhsTOC6DkIY1q8f\nqKpagDGVNaMQSzUTxR/asCxTxC3ejz/woert8StfOYPp07NVuW5dXYIoMlx++byqoymAV7wXg2t9\nMUSGC0/bzLc++zPOPnEDc2fs5EP//BS3XreGevHzAz7elyuE6sCL/kxCdO7X611X8t73LuLmm0+t\nnh/ptFu1MR+JlhY/7kIIPM8GwVVGIUNDIfX1CZJJieuOyMgxxJH25ZirYbfT32/VMR0d+Sp5dSwY\nA/PmNe7XOVvyXo+kvNujDlpOi7sdGozGiGbLwzBlEHU21A2DEUmMTKCcdlus7IYweQHGabbn3B4d\nDhir8yGI7I/uITXwfoTOYURDPKKJECgEOv6xWS8m5oNYqW4xDh3UGOGBSOGEy/a5FjU8f9Q6HTW8\n5LFkSTeFQrhH4FkUGX760/VceOF0ZsyoO6iL/v6itTU96ku/AmMM06fvPZp9b3jiiS6KxUqYmyCV\nsm6Sxmh27SoxebK12H7NaxbsdTtSbUBGK22CawUii1QbkeHT6MTx+L7LHXecwf33b+SRRzpoaPB4\n61vnsXDh6DGJ0P0MfzUYjEjRPl3xifcsRruzUEykWCpg5+N/5zARyaFP44RLMapAe9Lg5I8lSn6m\nSqDcG6zs1RCG1prcGCcmhxoSCYnnWQvzXbtKeJ4kikxsBGZHKBX+jVI2p0Sp0cTSMLRcXd93mTAh\nRSrlsmZNH1FknW89TxAEe44mPA8mT07v1xJE7vHk1dlMNn9B6LKVocomis33IKPVeKX7EESUUm/G\nyAmkBq5BmCEQ9SjZhnGa4rFLNOaaae84osTpeKoX9DZE3I3QotkWMBTjrsnuhQgYHAQGqTehxUzG\ndzLVwASgDAwBxrqf4iKYNMbwpoYXCrWio4aXPMZi8AeBYt26fr797VU88MAm0mmP9753IaeddvDB\nVj09RR56aAv5fMh557UxZ86wSdfChS20tmbo6SlWuwJBoKivdznttP2QUo6D3bsnc+c2snLlLgoF\nQz4fUCh4nHzyFC66aO9jJBmtQZhg2CmyAgNO+Cw6cTxg/UEuu2zuKJOx3REmzyUZLrUtb5Gwc3Ft\nLxhGTgIDUhQoexf83bdKvcL3ccO/YEQdRibQFEnqFcj81wmyV+/z/dOmZUgmLe/CGDsq0xrCUDFr\nVgNKafr6yiSTLlGkYodZS/q0kfeian9eV2cJqYODAVE0fN74vsOCBU1IKairSzBhgk8Q2O1aVYz9\n+6n8DTkOzJ3bVJVW7xNCsCN8K6nMO0nJdSAbUd4iEC7KbUP55496eVHchT90o/XgqFj86zxh8mwQ\nY/BHhKBcdx1h8rWkhj4Z+3nUg8iA2oyWR+CodXGREDJccKQxzhSE7rQFjdm9GzMSGsHOeOxSWTth\nw+H0DoRKEiXP27/1qOF5oVZ01PCSxwknTCKVGg48M8bafYehZurUNMmki1KGm29+mq9/vYGpUw/c\nUfB//3c7t9/+TDzvFvziF5s4//zpvO99i6qpobfddiq33PI0a9ZYI6S2tiyXXz5x/+bi4+CUU6bw\njW+sQGub2trbW8RxBJMmpXjvexdx5pnTaG+vrxIDC4WIOXMa9nBO1bKNsf+cDdptP6B9Uslz0KUH\nkNFqEGm0nI40a8AInODPSARFPZ/APX9v1l5/F/DKv4/NrEZAZHCDxwnYd9Exb14j7e31rF3bX02j\nNcaQSrkIYVi1qg/fd9B6mM8BVhJbIX4ODgb4vv19W0dSj5aWJFJam/Pjj59EMulSLitWrdrFjh3F\n+O/Fcj+MoSrHTSYdfN+hri7B619/YEoNLSei/On7fJ1KnkKg/hGvcG9sU55HeUcTZPZC1BQCnTyO\nfPIBhNqKU34MRArlHo2fuxklHITuRKoODA7GmYFxpiFUB8LkAWPD6Pa+Zwgk9u+kooYxYBRCD1DO\njm3nX8OhRa3oqOElj7q6BFdeuZD//M/lBIGmVLIGW9OnZ0km7SkspW1J33ffBt7znj1zUvaGUini\nK19Zhu87CDH8J/Hb327hla+czuGHWwOhpiafm28+lXK5kjBqfRueD1pafC6/fB7XX/8kxWKElNa+\nOpXyGBwMaW+vp6urwCc+sZieniJKaVIplyuvPIrzzhu+AGhvIdqZhtBdUPFAMGWMMwGVOPXAdkq4\nlBpuwyn/ATf4PRiNU47iOPIQbeqRokwyvA942/M6/pc+omEShtE4DCLVIDC+z8pICCG4+eZT+PKX\nlzE4GNDZmSeb9Zg6NcOyZTsxxsRJsS59faXq+8JwOGdFCKpBgZmMfe/EiSnWr7dmYkuX7iSddsjl\noqrUOgx11WSssh+ZjIvW0Nyc5Pzz2zjppIPv0I2CHkCqLmueJhwQacLUxbjl34PpA9GMVNtJDVxJ\nqf52G9Y27rb6SQ5+1spv0SB8wtRlRIlTEaYEahB/6BNABhksRdJDlViqt8BeByUVc7CK2VgleM4F\nE9lO4aFYjxr2Cufaa6+94W+9EzW8vBFFEYODgzQ0NOC6L0wdO2dOAxdeOIPGRksiXb26n1wupKur\nQBRp6uutqqShIcFZZx1YzsSyZTt56KHNo8iUYO80tTacfPKUUY+7rsR15SE77oGBgCVLdiClqMpl\np0xJs2VLjvPPb+Paa5+gr6+M77skEg5CwKOPdnLmmVOrx40QRMkzkWoTUnUBCuXOp1z/aZBZMEE8\nghnEiKZ9J2oKiXFnoZLn4ZV/Y4l3TiPIRoxIEkbgi42o9KV/1+mcMlqDVBsBjROtwKEXST+CAkLv\nRCXO2OfxJxIOp59uU2gvvHAGYah59NHOqlolikxcJNhOiOdJpBzOTwFIpx0aGhLMmlWPlIJVq/oo\nlxWLFk0gihQdHQWCQFXfb7scw5fQVMpl0aIJXHjhDG655VRe85r2/TacG/c8N5pE7ksk83fiFf8v\nfu52vOL/xSv/Hqf0MFJ32HNG+CCSCFPAidYQ+ReMvdbhSjK7LsEJlyP1LgQRRjThBH9GJc5Aewsw\nbiuIBF7px0jTNeZ2rHJmd/6Hw/BYpfKcAyIbF0oZnGgtkf+a6u/zxfhe+/8RtZWs4WWDlhaf889v\n44c/XFuVDBqj6ewsEASaSZNSnH32gQdbua4c8wtYa7NHIfJC4Mknu+jvD+jrCxDCKhZWr+6nvt7j\nkUc66Okpkk4Pz8IrRMP77tvAVVctGt6QbKBc/x/x8N7EjpHglB8hmf9ybO0tMbKFUt2NGHffrXIA\noXvGmMULBGVkuBQnWoWWrajkqftFrnw5oZz5d1LRWpzyE9Z/AkAk0e48nOAJ3NKDRKlX7/f2jjii\nGaUMDQ3Jalw92HNNiGFVitZUu16WjyEYGgq58sqFbNw4yD33rGPKlAxSCqZOzdLfH1RdZo0xowzF\npBQkEg5vf/sC3vzm8bk8Bwqv+CPc8u8QKGtxjoPUfWi24+mnMXIKemTkvUgio3WxFfpoPolQPfgD\nH0LoPpD2XBO6D2kU2j0Mr/RDyonPAhB5J5I0IbaQGMnRiLc16v+VMaQtyAx+nDKr7WNGgUyg3cMQ\nugOht2Gc/fu7qOHg8PfOA6vh7ww/+cl6ymXFjBnZ+AvWygt7eorMnl2/X7bOu+OII5poaEig1PCX\nVSVG/LWvbT+Eez82fN+lp6eI6w7LJV1XxBeSCK3HUh9I+vrGIc4JUf1SF6qbZO7zYER8V5dG6EH8\nwY/HttH7hnamjUHS0zhqM/7gJ/EKd+PnbiXd9w6E2nYgh/7Sh2ykWP8FjDMZIydQNtOInIUxwTaL\nW/7VAW3OGMPatf20tmaqI4/K4xX/jJEcIWMgkZAxsdTQ21vkySe72LYtx9KlvWzaNFjthlQ6cGM5\nmM6eXc///M+G6rjlUMArPQAig1BbY3pEAUwJqbaBcRC6e4x3jZS/goyeIzn0Ofy+dyB076jnbAjb\nkHUu1cNJxk74dKxmqYxI9oaRqhcHaw7mxe+VGFmHcheB8BDGIHThAFehhgNFreio4WWFNWv6Sac9\npkzJcOSRzTQ0JEinXaZPz/Ce9yw8KNms60puuOEVOI5VBvT3lwhDzbvedSRtbXs6kx5qZDJelZMS\nhorBwZD+fpscu2NHDt9397hYlMuKCy7Y9x2ZW/qVvZsb2ckRHlLvskTR/UCQ+hcs4S6OGTeahOi0\nPgwyC7IOI+vBBPiDN+7vYb98IDyMbEE5hxGaluGsDmB8ieZeNies5f6kSSmEEGSzLsmkQzrtct11\nJ3L44U3Yi6/B9+3jxlgfj3vuWcfWrTlAoLWhszPPypW7qsVqNuvFHcBK18Se393dRXK5cMyC5GBh\nYr6L0DkEOZtxgkJQwIjQeniMLApMEeUdVT0X3eLPSQ28DydYjKO2IlU3whR2K4Y1wvSPUpYYOSlO\np4Xxiw6BDYdLovEx+Gg5AyPTaNmCIWsTb4Vv1VnGYISHDJeSGPqSJbKa/bC9r+GAURuv1PCywhFH\nNLFq1S6y2QSZjMfcuVbWGoZqTOvy/cX8+U3cffeFLF++k2IxYtGillFW5C8kpkxJ/T/2zjy+ivLe\n/+/nmZmznywkIRAgCYiCoIKISBWta1tr61Lv5VbtVVvXn3WpWm9dWq1LF61LtdZa9FrF3tZbWq7F\nuiBoKyoqKKDsskogIWTPyVln5nl+f8zJgZCAQIIonPfrxQs4Z5ZnJpOZ73yf7/fzobo6yoYNHXR0\neDc6z+ZcMn36er797eHMnFmDlN6DJZ12GTOmlAkTPr0QUKrW7R6SnbjeDX4X0FYVqYKH8CV+h3Br\nUTJKWg/AMEJd31qEhVD1CNWCln1kpf55QBaijIFgdxUGE7oDx/+d3dqUEIIxY0qZN6+e6uoCysqC\nNDQksW2XCy8cyXXXjeGrXx3CxRe/xpYtKZRS2LbCsiT9+wey04gh6uuTNDWl0BricQe/XyKl4KCD\nCli2rCXnHhwOe3VAHR02a9Z8WnfH7qGMYRj24m08UzozDyZCa7QIg05m/U8slDGIdORGb2WdxJd4\nBk3YE6GTxQgdQ2sTyIA2s9tTuOYonMDpuf26vgkoczgys7MibuG1j3d6rmgbbZSgZQmgPeVS1QL4\nvQyNm0Cg8MefQksfZnoWUlQi+H6fnrM8+aAjzxeAeNxm1qwa1q5t4+CDiwgGvfZAv99ro43HHU47\nbfDWoso9xLIk48aV9dGod51Jkyro128p9fVJCgp8XdRHy8tDLF3azKOPnsD//d9a2toynHbaEL70\npQGfrlIK2P5TMNOz0dsuqjVahHDNQ3d5jMoaRqrwV4DnvinjlwPxHpfV7H+Fpenoj/G13ICkDaFd\n0AauNdYrPNxNrrvuCC6//J8sXdqE60L//gG+/OUKvv/9I5gzZxN33DGP2to4SimKiwOUl4cwDElp\naYC2tgxCeCJyUopcLUhRkZ+KihChkMXQoVGWL28hFLLw+WTWUM7rWnnnnc0cf/yea9lsSyZyDcGW\n76Exs9MdCu9hHwStcH3HkS64FemsQskK1DZZDumsBlLelB9e9gK3Hk+iPIqWQYSO45rHInSGUMt/\nomUx6dClKN94kkUPE90yDk+3o6dsh+X90WmETqAxkPYqtNGCMg/yajjcIi9T4zYj3HrvGIQE18I1\nhmKodfQzXgGu7pPzlccjH3Tk+VyzaVMHN9zwNrFYBsuSzJ69kX79AgwcGKKmpgO/3+Dcc4cxeXLf\nFchtj9Y669K5e1M369e389ZbdRQW+jjxxEE7zJyEwxZ33jmBb33r5aw/hsayJAcfXIhlSZqb01RX\nF3D99WN3e+zKOgLHdwxm5j208ONpFbikQ5dCD5LU3kptGM5KtIiizJE9dme0OCdRqJ8DtgqooTMo\nowJkUbflv+hoYxBt4SdobZ/BgAIbGZq4w3PzaUydupL2dpsBA0KkUgopJdXVBfzhD8v4xS8WZNto\nBek0NDWlKC0N8rOfTSCV8uwAANrbbaJRr+DScTSVlVHWrGnDcdopLPSjtaajwyYc9qZuBg4MEo36\n2bAhtrOh7eY5GUiy8D5CLd/LSu+nva4nAmijDNd3OMoc1qNzq6ecu00GThi41mEIZy3IKK51OK55\nKL7US9lsiES4jQRjd5CM3omyxqIJAalsYei2XivZ1lidRJBCE8A1xyBUPdKtw1BNuMahIP1oEUE6\n65G0ABJNFHAw3JUoOYoC8/1d8RbOsxvkg448n2t+9auFZDJu7oEdCEBLS4pjjx3Ar3513F7dt+sq\nnnpqObNm1WDbitLSANdee0Q32fDt0dqzDZ89uyZnW/7UU8u5/fajOfLInjMphx9eygknVFBbG0dK\nSSTi+VAopXMPlz1CCNLR23Ey8zHTM7MaCt9CmUN7XNyKT8VK/V926sVEGeWkCn6JNvp3Wa7dPZaM\nuR6/WoAga/ClE0gMQs3/gTKqSEeuRRuD93zsnzeEj5h7DEX+IQSsPZNF27ixg1de2UAy6WSVSA1K\nSgK88MI6Ghs9nQ7PQRZCIU8WXUoYNqyQoiI//fuvzC0HXoAaDnsaH7atSCadbN2GVxMSi9m4rmLj\nRgXEe26T1WmM9FyEasT1HY3eDTE5bR6Gso7K6sNkO5e0BpLYwXN3vJ5RhZYDEGrLNh1PBtocTLLo\ncbQxiFDTvyPcjUgctCxEyQo0QXzxKd70DTrrCdN5vCZe4aiFJgBkUKIEZR4G2EjdBtnr1HTeB0wc\ncwwi+zmA0Em0jHiqu6oOza5nA/PsGr0qJP3444/7ahx58nTDcRQbNsS6qW+Gwxbz5vVUGd+3/Pa3\ni/n739cBntZCS0ua225771PfFhcvbmLWrA2EwxbRqI+CAj+mKbn33gVd5Ku35+KLRyKEIBTaGnAk\nEjYXXrhz35VPRQhc/wTSBT8hHb1xhwGHzHyElXoOhA8ti9AyglAt+GN39LQ08dAtJIt+Qzp8Fa4x\nMvvm6d1SpLOKYOv1CNXcu7HvZ7z1Vh0rVrSwfn2Mjg6bLVuSfPRRI/X1SRoakt2mzITQNDam2bSp\nA8uSPPTQJI4+uoxIxMJ1NSUlAUaOLKa93ca2XYTw2mOl9GTUtSbrbqsJhy2mTVtFPG5v3b69jlDL\nfxLouA9f4imCrdfgj/1yq2b6pyEEqcKfeRkunfS6PwSkIzfsPOAUglTBz9FywHbr/RBtDMJIvYph\nz/fURnUG4W7GcJYAGjP9NmZmdjaA2tYIzkWLQhzrKJRRjZblKHMMCIV0V4NO5ZxmvaOzMZxFeNNC\nne/fDuiUJxZGOy1OXhq9r+lV0DFx4kTOPvtsXnzxxT5txcqTB7KdnztIX3e6cO4tkkmHN96oJRy2\ncmMwDIkQ8OyzK3e67gsvrMeyugZKUgo6OmxWr95xMd/xxw/ippuOJBQysW2XUMjkhhvG7pH2yJ5g\npf4CbKezIXxItw7h7kCIyazG8Z+E4X6M1PVI5yOkvQxUCnQCM/m3vT/wLxAffthIOu1imp4Gh2kK\npBQ0NiaziqFd76NKefUbnUXSRUV+br99Av/859mccEIFZWVBUilPg8J1va6YeNzuEty6rqaoyM+o\nUf1IJl2mT1/DO+9spn5znEDHXaBdr/tIFoAMYWTewMi8ucvHpGUJqaLHSBY9TrLoQRLF/4PrP+nT\n1zNKSRY/TrLod9n1/oTr/zJoF3/iKbxrMWvLK0xP4M5ei9QNoKXXVUQx3jSNgRYRXOvo7LRhEq00\npv0WRmYhQjUgSNDZsiuywYrAgZxnkQs43lQRcdCSDnf0Lp+HPLtGr6ZXCgsLeeONN5gzZw6DBg3i\nkksu4cILL6Rfv359Nb7PBMdxePHFF3n55ZdZuHAhmzZtQgjBiBEjOP/887n44ouRMt9d/FljGJKx\nY0t57716wuGtUwwdHXafihz1RGtrGtdV3Vpw/X6DjRs7drquaYoeg3AhPt2i/qSTBnPSSYNzPjOf\nJUIn6TLPnkPv2ExLOxj2MgxnKd4DwgBtY7grUHIohrMMu+c1D0gaGhL4fMZ2P1+vXuiQQ4r56KOm\nrDAYuam5k04aRFlZsMt2iosDPPnkycydW8eaNW34/QZ33z2fjg4751QrhPe3YUAi4aKUZvXqNn73\nuyVEIhbBgMuJ40q49ZrEdqW/IazUDFz/Cbt1bNqo2CMZcW0M6qofqhpAp1DGEC9DodysBL8APqHT\nvA0l0aIAraMIOjwtGtWO4a5B4/MCB+xszQdszYYUZDMZKTr1OtDx7BLZDjjhx5XDGOj7A/DQHhxV\nnh3RqyfpihUr+M1vfsMRRxzBxo0bueuuuxg9ejRXXXUVCxcu7Ksx7nXWrVvHxRdfzEsvvcTBBx/M\nZZddxuTJk6mrq+PGG2/kggsu2NdDPGC54YaxHHRQIYmETWtrilTK4fjjB3LOObtnVrW7lJQEsnLS\nXW+jiYTDqFH9WLmyhVtueY+bb17CrbfOY9Wq1twyZ545tIsENXj1IYWFPoYPL9yl/W8bcNi2oqkp\ntdOpmb7A9p+eVS3dBq1AhLupNFpiMwWxS4g0TCTUcn7WdCt7OxEST51yvVewlydHUVGA4cMLEMIT\n8fJM3STDhxdw771f4ktfKicYNHIB70UXjeDuuyd22UYi4TBr1gb++tc1VFZG+e53R3H++SO44Yax\npNMqp+nhBble8O44Kmt5rygvD1FcHCAYNHjt7VJemL3zGqXPFK2R9sdIZ7VXJ6LdbDGoAyS2Uxv1\nNDwQCk0Yx3ccyhqBMirRMgzCQIsi6GJLKBA6ng1IHCADZLJ1ST5Px8Mox7UOBxkhKNd5Ojd5+gzR\n2traJ/Mi77//PlOmTGHGjBmk056l8lFHHcVll13GOeecg2X1ohhuL1NXV8fLL7/MeeedRzC49Y0i\nmUxyxhlnsGjRIv7whz9w1lln7cNRfn5JpVLU1NQwZMgQAoG94zu6cmULf/nLKlasaCUSsfj616v4\nxjeqd7ujZHf43/9dxTPPrMiJd6VSDj6f5Nprx3DffQswDHCcDKbpw3Hg3nu/xOjRJQA89dQynn9+\nHem0i5Sead0990zkkEN2vbNDa83TTy/npZc2YNsuPp/BuecexOTJw/dOFkQ7BNp/jHQ+wms3tEH4\nSEVvR/nG5RZLJxqINp+Mz2hHCAN0LNsyaaBFoZfS0V4dQUfpP9FmVd+PdR/QF9f5/Pn13HHHPMJh\nk2TSe5gJoTn88FJ+/vMvobVm06Y4jqOorIx2y4ytXNnCrbe+S1NTCsMQBIMmX/5yBT/84ZEIITjz\nzBdZvLgxKzTnaXyEQgZKeT+WqqoCBg7s7FrSiPSHlBQl+cODy7fuRMdIR27F9U/qs+PeVXwdj2Gl\n/uG5x6otCDJoLMCHYMdTk1qUEyubRyB2M9JtQjrLvcxd5++JcoF0NtjYbl0iQACEgzIGow1vOlMp\nRSoZI1U6nUAw1PcHe4DSZ4ZvFRUVfPOb3+S73/0uhYWFrF69mpUrV/Liiy/y9NNP09bWxvDhw4lG\no32xuz4lGo1y5JFHdguMLMsiEokwY8YMysrKOO20no2KDnT2tjGS1pqf/ewDFi1qxDQlyaTLO+9s\nZu3a9r1a7zB6dD+UUixY0IDrKsaNK+P22yfw6KMfkUp58/KO4+D3WxiGZMWKFr7+9WoAjjyyjFNP\nHUJ1dQGnnjqYa645gv79d+/GNW3aav7851X4/WZummf+/C2UlQV3OWOyWwiJ4z8ZZY5EIHD9E8lE\nb0SbB3VZzBd7BL/zBkL6EUKCtrMGWypr7uUJMynzYOzwpTsQJ/vi0RfX+aBBEYQQLFvWgut6Jm/D\nhxfxk58cjd9vIISgoMBHUZG/W2CpteaCC2axbFkzbW0ZWlvTxGI2DQ1JRo4sZtCgCMGgyaJFTZSW\nBqmqimAYgrY2O6tW6mPIkMg2gboAGcWUjZz71TXeFJp2cfxfxgl++zM3PhNuPf74r0GG0UY/pKrN\nKpx6UuZiJ82rju9YnNB3MNNveHLqAoRu2e7a82XrOky2Kska3tSSDHpZFZ1GG57Bo1ZJYplqRORr\necO3PqTPz2RJSQk33HADP/jBD7jnnnt46KGHaGxs5MEHH+Thhx/mnHPO4bbbbqOq6ovx9tN5seUv\nun3HokWNfPxxa65tVggvc/D++1v45JMYVVV9H8hmMi633PIOK1e24nWSCDZujBMIGDQ2pshkXJRS\nCOElCk1T0tCQ7LKNsrIgX/1q5R6PYcaMdV1qWTyvDou//GVVr7a7U4TE9Y3H9Y3f4SI+Zw6682YN\neOlr7w1SGYPQxkBQcZzA13owistz/vmHcNZZQ/nkkxjFxf5tMg875513NrNiRUvWhdb7LJ12qamJ\n8fzza5kzZxOvv76JlpYkyaRLJqOQ0mvBHTmyH+vWtbNkSTNjxpTmCrFjcYuvnX426egJXsusNX6f\nZaakvdRrWRUBQKJFPyCWlSPP7HA9TRChthBqOQ/hNiHdNShZ5QXAOu2VKy0BGAAAIABJREFUJMko\ngla0juAVksbI6Xlg0+nDInQHqHYQAiXKqMt8j76RUsvTSZ8/STOZDNOnT+fJJ59kwYIFAJSVlTFp\n0iRmzpzJtGnTePnll5k2bRoTJ078lK3te/74xz8ihOCUU/KtU3uD1lavQLGoaMfupAsWNPSowZTJ\nePPUeyPo+J//+Zjly1u6CHpt2ZLkJz95jyVLmkilvLcuITSHHGISjUoKCvr2AZtKud2mj6QUJBL7\nVq7IlUMwWLz1A2mhVchLXQsTtMIJnE4mfOW+G+TnnHDYYtSo3Su4nzlzA1rrXJ2REAIpvetk+fJm\nVq1qI5l0cx0wXpeMxLIEq1a1EgiYxOMZNmxoZ8CAMI6jqK6O8u3zDsX19+GjQCewktMxMm+DiJIJ\nXoDyjfn09WQheptHkjYGIZzleLUXBp3aI9ujRDlS1aJkOdroh9IZpFqHK6sQwtM0cX3HIe2PMdwl\n2fqjzm1l/9YplHUIyqjG8X8ZbVQSd0fhttT2+nTk6UqfXWkbN27kqaee4tlnn6WpqQmtNWPHjuXK\nK6/kW9/6FpZl0dbWxoMPPsgjjzzCT3/6U1555ZW+2v1e4emnn2b27NmceOKJ+aCjj6mri3P33e9T\nWxtHCM2AAWFuu218jwZrlZWRHp1WTVMwYMDemWt9441NRCJdgwi/3+Cll9ZTURGmpqYDw/C0ND7+\nuJVDDinmyiv7tr2uf/8g9fXJLh00mYyb85vZVyQC12CmX8XQNujsw0AIXDGMePF0r2Uxn+HoU5TS\nfPBBA8mkSzLpBZ2BgEEgYOK6mrVr2+josLNZEEEyqbKGbxrLEgghSCYdSkoCjB7djzFjShk3roxj\njx24RyaJO0SnCLZ8HyO9EEQLIDCT08mELiVTcPNOV3WtMWjZzxOmExZaRtFyENJd7RV5UoignW1N\n9hyqMGhDyUNy00HaHICrS9CiiGTR/WjpBXdG8mVCrVfgBRsGWx1oZdYUMUg6ejvayBbWplLk6Xt6\nHXS88cYbTJkyhZkzZ+K6LqZpcvbZZ3PFFVdwzDHHdFm2sLCQO++8k0WLFvH+++/3dtfduO2228hk\ndpyG256rrrqKoUN7Fkp65ZVX+K//+i+qqqr4/e9/v9tjSR1AF2znOd/Vc+84ihtueJNEws4Kfwnq\n6jq48cY3eeKJE7qJgR19dAnRqEk6befUGlMpl7KyAAcfHN4r59pxXJRyu8yrNzensW1FeXkA0NTV\nJbJvnnDMMaUcd1xZn47l8stH8OMfv49tewFPKuUghOTSSw/ep9dXxh0CztEU+97KFvpJXD2QtvDT\nuHYA72a+/1X87+513pc8++zHNDUlCQQMUilvai+RcNFa079/mI6OTM5dFrxuKSE8jY7WVs+vxTSh\npUVzxhlD+MY3vCkUx8ngfEribHeOO5h8AiP9KoIUQnuaGBqJP/47kozC9n1l5/sK3EUkcTdSNXrH\nISvJmOcQcGZki5T9SGczUtcBDq5xMJoGrw3WjWOoOk93QxbjSj/JTFYqXbUSyKxB4UOSRKDQmF6R\nqihEiUJa/Xei7AjYqd0+7v2JvV0s3Kug45hjjmHVqlVorenXrx8XX3wxl1xyCRUVO58Fq6ys5M03\nd118Zld55plnSCR2zTkT4Oyzz+4x6Hj11Ve5+OKLKS8vZ8aMGfTv37+HtXdObW0trrv/3Xh3Rn39\nrqmELlzYyubN7dkK/q0qDm1tDi+8sIQJE7qnna+9dgi///066usTCAGVlUEuv3wQGzdu7LPxb8uh\nh/p47bU2QiFPsKm5OcOmTUlsW9PQ0EFhoUVBQRitvRbGoiKXmpqduV7uPuEw3HRTFdOn17FlS4oR\nI4Kcc04FQrRSU9P66RvYSwwwn6TAWohSFhpwdBG2LqRxy0I61P6f4djV63x3aGuzefHFzaxY0UFJ\niY+zzhpAdbVX66G15u9/X0VxsaClxXNe1bqzrVZw1VVD+N3v1rFlSzqXtei0tofOBIAmk9FkMhl+\n//uP+MlP3iMYNPja18q54IIh+Hyfnu349OPWjA5OAWF7xcS5qh8HRQaj7besTe1KC/UtWKIRgUtG\nlyNIM9T/NqZoQ6GAAgxM2t0J1NmXMMx/Mz5Zh1/UZCdfJMJtQet2NrasQpKmOnAX0EFGFOATKTSS\nlKrEpQjPZM7gk1oBdP8d3hs/788rhmEwbNjelSPoVctscXExo0aN4oorrmDy5Mm7HCHNmzeP1atX\nc/755+/prvcaM2fO5KKLLqK0tJR//OMfVFdX79F2DrRMR319PeXl5fh8n+70+sIL63nyyRXdXGFj\nMZvzzx/O5MkH7WBN7wEvpSAQ6JoNcRzFsmUt2LZi5MiiLgWYe0Iq5XLbbfNYu7aNtWtjJBIuPp+n\ndyCEoKIixMCBIdLpNK4r+fWvj9srtSWfNwx7JcUdZ4GOI0XnrUOjCZExj6Ut+sw+Hd/eZHev812l\npSXND34wl/b2DOGwiW0rMhnFTTeN5dhjy3Fdxfnnv47PJ9EamprSNDV5026VlRGee+5Urr9+Lv/8\nZy3ptPeiE4t5ImGGAVJ6ejOu62XlpCSnhurzGYwdW8pzz52yw/bzXT1uoRoobv8mht7UzWdYI7CN\no2iN/nWPupmEaiWU/gOmsxgwSVknkfadC9KHlZlDYfwKvGk+CVohAFtUkgxegqG34LdfQ4swaAfT\nXQo6A1g4xqGATTx4PbbVVQxtb/28P+98rjMdM2bM4Pjjj9/t9SZMmMCECRN6s+u9QmfAUVJS0quA\nA/b+D+7ziM/n26XjPvroCqZOXY2UXW8+lqWYOHHQTrfR01crVjTz05/Op709g1KaUMjkiisO61WH\nRyAAjz56Is8+u5JHHvmI6uoAhYU+NmyIUV+fpK4uSXGxj0TC4WtfG8qIET0bue1vBFJP46k8Kjwx\nMK8QT5DGUosJ+P175Lz6RWJXr/Nd5S9/WUk87lJQ4G3TMMDn0zz11EpOOqkSIQT9+4doafGmUPr3\nD9G/f4h02mXMmBICgQA33zyeLVveorY2TjzuzZd0dGQIhXwYBsRiDlJqOpOvWoPjgN8vWLy4mQ8+\naOGEE3befv5pxy1UBJEYCHYt5K4P8OomLKRZTCC4a5063RmAG7oFnVmAv+NXRDJPE0k/jrIOJR3+\nPio9FKm2ZJ1lbbQIYIo2guo1BBZCRrJTpT6UPALpbkKoBrSvCjt8LYZ1cI9avLty3Hl2j15VEO1J\nwPF5ZdasWVx00UUUFxczY8aMXgUceXZOdXUBRx9dTizmBQlKaWKxDGPHlnLwwbunP+E4ip/+dD6O\no4hGfRQWeuZqv/3tYjZv3vWptp4QQlBXl2Dw4EhON6GqKsqhhxYTChlUVES47rqDuPbaw3q1ny8S\nnofF9tOGna2H0tNIyLNbLF7c1C0zJ6UgHndoa/PqCa6++gjSaYd02sVxFOvWtbF0aRMLFzZw9dVv\n0NSUoqwsSEtLmvb2DIGAyZAhUQ46qJDCQj9+/9ZbfefUi+tqOjpslNK8+mrvpwa1LMY1D0LJzvR8\nZ6GmQBmVZIL/gXA344/dR7Dlcvxtd2EkZ2HFn8JMvQI6uZOtg7DXEmq5CDP9Joa7FEOtwUy/RKjl\nYoSOo+RgLxgWPs+uRbVgZt5HawnbaHwI1eBJreNiOJ/gSzwBqrtoWJ69Q591r8yfP5+33nqL2tpa\ntNZUVFQwadKkz2VGY3tWrVrFd77zHWzbZtKkSUybNq3bMpWVlZ/L6aAvKj/+8XhmzarhhRfWoTWc\nccZIvvrVyt1W2lyypIn29kyX1lYhBI6jeOWVT7j44t7JcJeXB7FtF7+/8z1IEI36GDaskOuvPxzL\navvMPVL2JVoWoIggdSuIzpZDReeDBZHXs9ldCgt9tLSku3WRSNnpOAxjxpRy333HcvXVc1i1qpV0\n2pvua2pKYZqSf//3mWQyXous16li534vhgyJ0tqaJr7dc7Xzsk2nFcOGFfTJsaSjtxNyLkArf1a+\nXAMh0uHrcM2xBFv/H14w4sfKvI0v+STKOAhkAF/iKdKBy7HsfyDcRrTsRyZ0Sa7dNhC7FaHaEKTZ\natymQDcg3BTQ4E3dCOFFVUKgZQUIF1QSMBE6hnQ3gAZllIAMIu3l+Dt+Qbrgnj45B3l2Tq/vEOvW\nrePKK69k/vz5AF16yAHGjx/P448/vteLU3pDfX09tu0VNP7tbz27Yh533HH5oKMPkVLw1a9W7tIU\nSKfnSE+tfem0wnW7lyUZRt/oWXzzm0N5/vm1KKVzktTptEtFRZihQ6Ns3Lhjaeb9ETt0ETK9CKWS\nSBSdtuBKVqPMYWhZvK+H+IXjwgtHcMst7xKJbHU0jsdtTj55cJdOrqlTVxIIGLksRTLpsnJlK7W1\ncdrbM1iWsU2tk4HWLq6riERMAgEDn0+SyajO5zHQ6eQMkyf3jYGiUM1obeKahyNw0DICaEx7btZG\nHhBBhLs5q5fhQ6h6lHE4uM2E2v8frnUECBPhbiLYfivJgjtRvvEY9tLsXrJtrjh0KpVqkngiXxHP\n+A2JMqrQRjFCp0hHrsOfeBrhbAAE2ihGG9kmAhnytq1iIPf/uqx9Ta+Cjrq6Ok4//XTq6+sJhUKc\ncsopOaXRDRs28NprrzF//ny+/vWv8/rrr39qV8u+YtKkSTQ3N+/rYeTZjvr6BPfdt4B169oBwWGH\n9ePGG4+ksHBrVuOww/oRCpndXFmV0px22pAetrp7lJQEuOOOCTzwwEJiMRshBJWVEe64Y8L+XrrQ\nI67vGGLB2wm03YZfNiEEKFmOMkeSjt6xr4f3hWTMmDKuueYInnlmBamUVyh94okVXHPNEbllWlpS\nLF/eglKQTDpZF1nvhT4ed1CKblo2QggCAZM//emrrFvXxle+MoNEwskF40KAz2cwadKAbpo0e4qV\nfA5kAISvi4yXdDd4wl8iqyqsGgAThEBobwpJqk1Zc7XOthsTTRB/4gmSvvEgoiBas1+rrcsB4AMk\nGj/aOhgtgoDwtmcU4wa+RsJ/KsHWSxFuDOT2jz7tqaGSDzr2Nr0KOn7+859TX1/PmWeeyQMPPEBp\naVe3wqamJm688Ub+/ve/84tf/ILf/OY3vRpsngOHdNrlhhveIh53clMbixY18qMfzeV3v/tyLsAI\nhy0uv3w0jz22OGsJLtBacdpplb32J3FdxZ//vIqZMzfgOJrq6ihXXXU4I0Z4b/MHUofStti+E1mb\neo6qCougsQFtFKPMw/b7AtK9yemnV/GVrwyhqSlFNOojGOx6a25r8+qf6uo6sg7G2eZQ2XnNdz/9\nrqtzBoNDhxZy6aWjePnlDZimJxbm9xsopbn00r6rSRK6jZ4fKwrPRNDJuhBnB6t19v8AdvYgtjkQ\nYSCU90JoB07Fl3h2m+2B1zllgpAoORip6lDa2jrFQpJMMOsSLkwc/6n4En/qGlxoBSKClgdGMfi+\npldBx+zZsxk4cCBPPPFEjy1FJSUlTJkyhXnz5jFr1qze7CrPAcabb26ipSXdpVYjGDSpqYmxfHlL\nFwnp00+vYsyYUl5++ROSSYfTThvCIYcU9brW4oEHFvHGG5sIh7209/r1Me64Yx5TppzUrd33QEQZ\nA3AD1ft6GF9otNasXNnC0qUtVFZGGDeurMfW1YqKMLbtUlPT0eVzpcha2XseK46jSKddbNtr7R47\ntjQ3NfiDH4ylo8NmyZImbFuRTjsMH17EwIHBbpnCPcXxnYrf/i1abP9QD5EJXkQg/giaCFqWI9y1\ngEDLAdkFBZpA17ogrbJTNJCJXI/hrERmFiH1FrZOs0S8qRRZ5ul4CO21xAo/meCVuP6tDQ924BzM\n9L+QqhZNCPBsGNKRm/JB82dEr4KOlpYWvv71r++0h9nn8zFx4kReeuml3uwqzwHG2rWxbrbeALbt\nKYFu71tRURHmkktG9dn+W1pSvPPOZiKRrdd2IGDS3p7hH/9Yx/nnj+izfeU5MMlkXG677V1WrGjB\ncTRCaMrLQzz44CSKi7u2aPp8niKtUt23ozX4fJIRIwpZtqwVx1H4fAYHHVTA88+vo60tw003jcPv\nN7j77omsX9/OLbe8g22nWb8+xq23vsvQoYXce++xucLVPcUJnIaZfhXprPIM11QKoTeD7I8/8TRK\nFCFIokWBZ+iWdSRGx1DGwQgy2SBFZjMVCTLBK7zjlMUkip/BTL2KlZyGkVmAlmVoo58nu69tXN9R\npAp/AzqenY7JBnDaRjpr0SJAsvA3mOmZmJm3UXIgdmgy2hjcq+POs+v06gqrqKggvn1JdA8kEgkG\nDhzYm13lOcAYO7aUv/99bbfPAwFj79i6b0dtbQLbVt0k2YNBk6VLW/b6/vPs//zv/65m2TJv6uCT\nT2Kk0y4rVrRywQWzmDHjjG6eOx0dDsGgQSLRXenYEw3LUFLiJxLxUV4eIhDwbu9vv72Z7343SWlp\nEIA//3kVsZjdxWRx7dp2nnhiKdddtwvGbDtD+EgVPoCRnoOZeQMj8w6aEhAFIDRCx9CyH6noL9BG\nKUJtwbCXoWQZyjwUK/4o/uTf0MJAGVVkQtfi+ich7eVoWYg2KnCCZ+IEvo6//Q4M50PQKe+PLCAd\nvc3LlIit9wgj/Tb++MMIlUALiZZlpAruwQme3btjzbNH9CroOPvss5kyZQq1tbU7LBKtra3lzTff\n5LLLLuvNrvLsp9i24p136li3Lsbo0cWMG9cfKQXjx/dn6NAC1q1rz2kYdHTYHHVU2Wei/DlwYKjH\nbplk0mHkyHyHRp7e8/rrGzFNyeLFTbnaDBAsW9bMffct5NZbj8otaxiCYNDISZtvj+tqNm3qQGsI\nh20aGlIMHhxmwIAwqZTDJ5/EKC0N0tyc4u2363IBSSeRiMV77/WR3LcwcQMno40KrNQMhIqB62UZ\nlHEQwm1AuqtwzQq0MRjHGAwqRrDt+wi3DmX0R+gMAoV0a/E3X4A3DeIFIqmCu0EWki64B+msxLA/\nQMkKXP9xuULV3FDczfg77gX8aOkJkwnVTKD9FpJFf8hPqewDeiUOdtNNNzFq1CjOPPPMHh1jZ86c\nyVlnncXo0aP50Y9+1Jtd5dkPaWpKcemlr/PLXy7gL39ZzR13zOOaa+aQTHoV/PfffxznnDOMUMgk\nErG46KKR3HHHZ6P70q9fgAkT+tPRkcm1gafTLpGIxZln9mwSmCfP7qGprY2jlKKjw6G1NU1ra5p0\nWvHee5tpb99qNGYYkq98pbLH9nAhvM6VzloQw5AIodmwoYNEwivELiz08+Mfv8v3vvc6y5Y1s3Bh\nA5s2dXTbVl/ij92LcBuzfbkSoVMYzjJAZ//eii/+JMKt91pWRQAto0jnE/yxu7LTLWHAj3TWEGj/\nae7AhY5hJl/Al3gK7JXdxmCmXsg6yG7zqBM+pNuEdD7ea8eeZ8f0KtMxefJkpJSsWbOG888/n8LC\nQiorPd2FDRs20NbmaRhMmDCByZMnd1lXCMGMGTN6s/s8X3Duv38hra1di0XXr4/xzDMruPLKwwgE\nTC69dDSXXjqapqYUdXVxYrFMt/nuvcV//dc4pk5dwezZG3EcxYgRRVx33ZguLbt58uwpJ544mLfe\nqsvJlgshsnb0ijVr2mhuTnUpWP7hD4/khRfWsWpVW5faDikFSmkCAYN4vFOHQyCEoqamndNOq+S5\n5z7mww8bCYUsiov9NDen2LSpg1DIpLg4QDxuc8opfVfXIFQTQm3qWhQqJGgH6dbjmiO7LG/aCyCb\niUAlMdzlCNWOxsGwF4IIARm8gGUlTvIkrMSfMDOzs5L8Aiv9EunAZNLFv9t6blSLV++xHRonqxOS\n57OmV0HHW2+9lfu31prW1lZaW7u7X7733nvdPjuQVBzzdKezan/7NG84bDJ3bh1XXum18TmO4t57\nFzB//hZs28WyDL70pQH88Idjd2hQ1VeYpuR73xvF977XdwWqefJ0ct55B/Poox/R3JzKmrJ5SYFI\nxEc8bnfT3QgETB544Hhuv/0damvjNDWls5b1gnRa5fQ7PDE9T5l04MAwt956FJdc8jqhkPfwHTq0\ngFgsQyLhsGZNG4cealBZGeHyy0f32bEJtx6w0CKC0B1bgw8NSIHrm9RleY2B0BpIYdgLICs8JxBo\nbISu99pcpQXKwd9+D4ZajZes77yHKPypaaQzN4JvOACO/yTM9L/Qwr/NzjSIIK65TTG4asPMvAU6\njes7Fm0MIM/eoVdBxwsvvNBX48hzACKloLU1TW1tHNdVFBcHGDAgSCYjeO65VTiOYvPmOHPn1hGJ\n+HJ6HXPm1DJoUJjvfCffQZLni4vPZ3D66ZU888xKHEdhWRLTlLiuprjYT2trpts6xx47gIkTB7Jg\nQQORSIqGhiSZjIvWGqXIZQ2FEAwbVsDddx+Ty6AApFIOixY1kkh4QY1tK/r183P//cflgpK+QBmD\nQfhR5giEu8HLOKDRMkQqfFW37IMT+Cr+2EMIXY8ghafV4aIRXkdL9m+tTZBmVlzMU8PdiqdSGuh4\niFS/3wLgWuNxrCOz2ZIA4CJwSIcuzWVWjPRc/B33IXTak22PP40d+g9S8tw+Ox95ttKroGPSpEmf\nvlCePD0ghEBKwfLlLfh8XsaitjZOTU2M/v2DTJ26AoAVK1oYMCDUpXU1HDZ55ZUN+aAjzxee8ePL\nmTt3M83NaeJxGykFlZUhCgp8DBkS6ba8lIJ77pnI/Pn1zJxZg20rXn99A6mUorExhVIKx9E4jsZ1\nFUcd1R+AggIfsViGBQsaSCZtpJSAZ3X/9tt1/OpXC/u2XkoW4PhPxky9jDaqcM2hoBMgCnCC/9Ft\ncdv/NfyxX2bbZDs9fSzPMRYbgQAyCA1KDAB2UUFaCNIFd2Nk5mKmXwERxQ6eizK9TAg6hb/jAcBC\ny63ZEF/yz8jA0XQRKsvTJ+TdmfLsE+Jxm1TKIRw2SaXcXLFmKuUQCpm5NzYpBZ98EqOxMYlhSMrK\ngpSXh3DdHgQL8uw7dNbnJm/4tlucdtoQ/vrX1QSDVk7OPx63OfrocsrKgj2uI6WgoSHF0qXNrFnT\nlrUJ0NlGDIFpSixLsGFDBw8//BHXXXcE1103hquu+heJhIOUXjZFKRBC09aW4amnljN2bBlnndV3\nRdKZ8PdRRiVWagaQRllHkglfAbJ7MGU4S9HGAJRZjWF/CIDQCUAi6AxEXDQKoVvw6jug091423+n\nItd33biQuP5JuP7uL8mGvRih42jZtQ1fa/Dbs4HT9vTw8+yAPrtD1NXV8fbbb1NXVwfAwIEDOfbY\nYz+3fit59i0bNsRQCg4/vIRYLEMy6eI4Lhs2dNDWZuPJumiSSc8rIpVyME1JR4dNc3OKb33roH19\nCHkA4W7B33Ev0lkHgGuN8tQd5d7XUtkfCAZNHn74eB5/fAmLFzdjWQZnnjmU887bsQHbvHn1PPbY\n4lwrbNeOFo2UGp/PIhy2ePXVDZx4YgXjxpUxadLA3O+dUjrrSNvp2aJ54IEFLFiwherqAr7xjeod\nBj27jBCepkbwzJ6/V234449gZJYgdBvC3YQ2R6LMkUh7MZ4brUBjIXAAw/tMAyKI0j4Esex3WTPG\n4Pm5eo5dHCRauwjnk+wUkEAZZVmZ9HyWY2/Q66Cjra2Nm266ienTp6O2k8uTUnLuuedy3333UViY\nvwnl2UpxcSDnAVFQ4KegAJqbUyil8fu9N5e2tkzOFdOr6odEwkFrzZlnVve43XTa5eWXP+H11zdS\nVOTnvPMO5tBD+/W4bJ5eojME267Pqj96qWnD/ohg200ki36f10DYRYqLA9xyy/hdXv6Pf1xJMGiy\nbFlzt2JTgEzGk0I/9NBiLEsyY8Y6xo4tY/z4cmbOrKGlJY3jqC4/HttWrFsXw3FqKC728/zza/nJ\nT8Yzfnx5Xxxid7RDsO0GhNoCIoQmitRxpL0U5TvCyzwoAUKhRTmoRgQ24KJFGGUdhNApkv5v4cu8\nAcIiGfkR+Hav6Ns1R2K4NaCT2SydQLo1aBEh7fsKWz1e8vQVvQo6UqkUZ599Nh9++CFaaw477DCG\nDvXSc+vXr2fx4sVMmzaNVatW8fLLL+P3+z9li3kOFAYMCDF8eBErV7YQClmkUg6bNnWQSrk0NKTI\nZBSZjGfNbRgCn0+itSYQMJFSUFMTZ/x29+lMxuX6699k3boYkYhFTU0H77+/hSuuOKxP08Z5PCz7\nLVAtXe3ARRDpbkLaS1C+w/fd4PZjYrEMpilJpdwedTvA6w4Lhy3SaTdnJ3DGGVVMm7aa99/fkg3i\nNVp7+h6maeT8WyIRH0ppHnzwQ/74x70zvWBk5iPczVunWoTENUdhOMtynS9goozhQBqhW9EiAFqh\nrBFegKDT4BtNMnrFHo/Div836LhXvKo1YHqy7KL7FFCevqFXPYdTpkxh0aJFHHHEEfzzn//kzTff\nZOrUqUydOpU5c+bwr3/9i7Fjx7Jo0SKmTJnSV2POs59w550TGDOmlFTKYcmSZmxbMXJkMYYhaG5O\nUV+fyBla2bbKush62Yxp01Yxe3ZNtj3Q47XXNrJuXYyCAh9SCnw+g0jE4tlnPcvwPH2LqTbQ8y3E\nQaq6z3o4BwzDhxeRTHZvqd2WZNKhpSWFbbu5gDsa9fHb336Zs88eSjBo4PMZDBgQorQ0gGV5hd0l\nJZ4GjpSCjg67m8FcXyGdVT18GEEZh2AHJ5MsfBDXOtyTPpel3pSKctCyGDBA2WhCuL6jum9nV8eQ\nWYY/+Qe8QKMwawAHYINqwp9+iU433zx9R6+CjunTpxONRpk+fTpjx47t9v2YMWOYNm0akUiEv/3t\nb73ZVZ79kHDY4p57JvLd7x7KsGEFjBtXxqBBEY48sozq6oJsh4unsCilwHUV7e02jqOIxWwefHAR\nP/zh29i2F3i8+WZtN8MqIQSplMv69bF9cYhfXLSNtFcgnPXsSHvbNg73HD23X1X4cM1D9vIAD0za\n2jJEIhYrV7bmiq97QilYuLCBpqYUU6eupKbGu/4HDAjx8MMnMHVXNB7dAAAgAElEQVTqaUyY0J8h\nQ6Jo7cmoV1dHsaytXkNSQjBo7GgXvUKZI3ssmdDSh+M/GTdwCqnCX6OMgYBAmdUoowStTQz7fQxn\nIYI4VuKPnmLpHmAln0UTyV3D3vSNg9ApBDaBzF8ZYD29p4eYZwf0anplzZo1nHDCCfTrt+M585KS\nEo4//njeeOON3uwqz35MXV08KxLm3YWk9AKFQMBAa43reiJhXtYDSkoCOU2BlStbmT27htNPr6Ks\nLMjixc3dPFMMQ+St6HcDI/0m/vhvtjHIKiVVcA/a6FoU7phHotxhGM5atMj6WugOHGsc2qzeByPf\nv2loSHLNNXNob8/Qr5+fLVuSO11eCK9D5Z//3MTSpc08++xpuUzGyScPZty4Mp5/fi2LFzfy/vsN\nRCIWmzfHMU1JKGRSWRmlf/8QqVSqz4/F9R2FloMR7iZPL0Nr0AmUORyVFe1S1kGkih6lUzVNpucT\nbPsBSg5DG8WgBVbyeUBjhy/f7TFI1YyW5aDqQWcAB+89XKFFAC3LKDDmkVabgB4K17WDdJYitI1r\nHrpVUTXPTulVpsN1XSzr0wVlLMvqVmSaJ08nRx5Z1u36cF2FaRoMH15EQYGPcNjCMAR+v6S6uiC3\nXDhs8dprGwH4938fDuguaedk0qG6uoCKivwNYVfwDLLuA41nkCWCCNVCoP3W7hkPIUkV/opM8Fy0\nDKNlhHToQtIFP90nY9/feeyxxSSTDtGoj2DQxDDETmt1MxloaEjQ1JRkyZJmbr55bu67RMLhjjvm\n8de/ruGjj5qore3g3XfrWbu2jVWrWvn441a+/e0dd9D0GmGQLHwAx38SYIAwcQJfI1X4yy4FyFpr\nXpm5gYsvns1/nPcWl956Ch+tqgKkt5yMYKVmbW3Z3g1cawyQwrVGecF1tjVX40OZoz1vF2xM56Nu\n60r7Y0It3yHQdguBtlsJN52Jr+N32eAlz87oVdBRVVXF3LlzSSZ3HHEnk0nmzp1LVVVVb3aVZz/m\n6KP7U13tSTNr7RW3hUImoZDJgAFhjjyylFGj+hGNWkSjvi7eJ46jcv8fPDjCzTePwzQFqZRDOu0w\nfHghd911zL46tC8cnkGW6tp5sjODLBHADn+PZPEfSBY/hRP6dl6rYy/x8cetOduAcNjKdXXtCCHA\ncXROt+PNN+toavKyFo8++hFr1rQRDluYpsRxIBQyKS0NcsQRpRx2WAmPPbZk7+rhyAiZ6I0k+v2J\nRL8/kYlcnVUNBVQbVmIqL/7pZ/zmoVnE40kESTZvgRvvqmLV2m1fdh2vg2o3yYTO91q7tYuW1UAI\nTRhljcpdwxqJFttl8rVDIHYHaBuBg3TXIp3V+Dt+Qaj535CZD/fodBwo9CroOP3002loaOCyyy6j\nsbGx2/eNjY25784444ze7CrPfoxhSO6//zj+7d8OIhw2iUYtrrtuDN/+9vCchoeUnmx0RUU459uj\ntSaTcZk8eWtf/nHHVfDHP57GI4+cwH//9yk8+OCkvEHbbuAZZHUPGvIGWfsev9/IZfGCQSPXlbIj\nhPA6usCr8fD5JPPmefb177+/hXDYe3Bv2ZJECM9rKJFwcoFILJZm1aq2vXhEOxi3W0eo9TLM+P/y\n5+lQEKzF57zrOcrKJJZMMGWql4Hr9FFBFHz6hrdHFpEoegzHfwrKKEcT9YpWVSvC/gTD/hhLNKEJ\ndInupLMEVFv236uzH/oAA+FuIRC7G3TfT0ntL/TqleTaa69l2rRpvPTSS/zrX//ilFNOyWU01q9f\nz2uvvUYymWTIkCFcffXVfTLgPPsnwaDZzVxNa82CBQ08++wKtPZcX//yl9XU1HSglMLvN7niisMY\nMaK4y7YMQ1JVFd1+F3l2ga0GWds4+fZkkJXnM+fss4fx+ONLiEZ9aO1NNXYWUfdEZ7JKKa+uqX//\nUK7QWmvdzXRTiO0zJzufvtlb+DoeBpUmkTTJpB18lpudtjABic+nqN0SRTprcM1DSIev3zNNGJ3B\nH38UI/MB6ARCJEC1IXARpNGY2PoQIsmfosTpZCLXAiB0xnO2VY2AAtFZbCsAhdAdGJl5uP4T+uaE\n7Gf0KugoKirihRde4NJLL+WDDz5gxowZXd5CAcaPH88TTzxBUVFR70eb54Biw4YY99+/kNZWb9rl\n/vsXctJJg/nRj8bR0WEzbFhBN5faPL3DM8ga5zl9Cj+eQZbbxSArz77hm9+sprY2zquvbqC93RPO\n2xlae9nBUMikqiqK328wYYIn9jViRDGLFzcRCJj07x+kuTmN42hKSz0tJdfVRKMWw4cXYtufbZ2C\n4axFup8QtdrwW4eglUIIjUagRQQ7k2F4dStamGRCF+EGvrJH+/F1PIKZfhctw17GQgsvgNCgRTFa\nu1giBnIgZnoWduAstFmFa45GixBSxejagqPRssxTSNXpPjkX+yO9vmNXV1cze/Zs3n33Xd56660u\nMuiTJk1i4sSJvR5kngMPrTV33jmfTEZ16TyZNauG444bwDHH5K2n9wpCkC64CyPzDmZ6ZtYg61so\nMy87v68RQnDllYdRUGDy8MOLiURMmpt7DggMA8rLw1RVRRBCEAqZ3HrreIJB75Z//fVjuf76N2ls\nTGEYkqIiHx0dNsXFftrb04TDFj/+8dEYhsS2P8ujBKFaELoVpMV/nr2MR58dSzSUQEobx47jOCZX\nXrAaLYejrO5SDbuEtjEz73jF0lp7Pi/S0/8QZNAiCBoM0YbWLuBiZuZim1Ugw6RDlxGIP4Rw3WyA\n4QABhJtGm2GUb9cVZg80+uw1ceLEifkAI0+fUVeXoKkptU0mQxOL2cRiGX7/+6VMmFDeLT2cp48Q\nEtd/HK7/uH09kjzb0diY5O67PyCVckgm3R0uZ5qS73//MI49diBCwOjRJVjW1hK+kpIATz55MnPm\n1LJqVSujR/dj6NAC5s/fQmGhj2OPHZgLUD5rtDBzRrP/9rWPifjbeObvY4gnfAwe0Mx1F37AIYOb\nUXoQak/1YHQGz9tlu2MU0iukVgkEGUwB2v0QRMTT9MjiBk8nYY0k3PhNhG4AfIBA6o+xjXOyImZ5\neqJXV1VxcTGHH344c+bM6avx5MkD0KXtVSnN8uXNxOOe70pjY4orrvgXDzxwXM6NNk+eA4GHHlpE\nPG5jGALb3nHQ4bqaZ55ZwYUXjtzh74jPZ3DqqUM49dQhuc+GDPnsa6GEuxlfx68xnNUgTIS20bIY\nodsROsnpX17K6V9eiheJePUTmjDIYvbYlE2EvH2oDhASLQqQqh4vEAGBNz3i4kcgPEM63dxlE4a9\nGG0NQTMU4TaAEChRhnRrQMXz05E7oFfdK+FwmJEjR/bVWPLkyTFoUJiiIj+Oo6ipiRGPO5imyH1X\nW9vBI49075/Pk2d/ZtmyFqSEeNyb89hRsk9rzfr1MT755HOuxKtiBNt+gOGsyNZTKIROAmlcawxa\n+PHejU00frSIoEUUZBgtLDqDhN1GCNLh64A0wm1GqFZ01lDOM3lz0Bho7QU5yhiJlX4NdAYj9TpW\nfCpm6h9oQmgRQplVKKMSZBDIIN1Pen9u9lN6lekYNmwYDQ0NfTWWPHlIJh0ef3wJ8+ZtIRZLU1ub\noKUlhdaQTnuqpOvXtyOEoLExxc03j8MwehU758nzhSES8dpcPR8ikdW16b5cp09RY+POVUt7QmvN\nihUtLFnSTGVlhNGj96AddRcxUy8hVDu60zRQCJQxCOl0eNob2sUrIXURmGjtUtdQwkNPT2BVzXDM\n6BucddZQzjxz6G5PtyrfWJJFjxFsPg8tA2hRgdYSQ61EoNGESekh+IwypGGAbifUcjGoVjw32lrQ\nqayx4bb7NtAy72y9I3oVdEyePJl77rmHdevW5dxl8+TZU7TW/OhHc1mzpp1IxCIc9lFeDq2tacrK\nAtTXJwkEBEJ4N9v6+gSPPPIR11+/h8VkefJ8wTjhhAo+/LCReNwBxA79V7SGQECyu0LQmYzLbbe9\ny4oVLTiORkpBv34W1147mCFDPn393cVwPs5mM7YhG3ikw1cTbL8RoVwgDWgamgzOvfpM6psKCEbL\nKC/bwJTHNrKldhVXftePMoeizV0XotSyP8gylFGBcOswVA2dra+SGH6xCU0JaBfhbkYbA3OuykpU\nYdgLEU4t2hzkbVDFUdYotNG10F24m5BuTdYuQKKNigO27qNXr4hXXXUVJ/9/9u48zquqfvz465xz\n7/0ssw/7AAIjioJSuKeoiVaWa9a3tAzLJaV+WS6ZffG7WN/MFqxMzdLKpVxaTTNSUyvFHRURRUBg\n2Blg1s96l3N+f9zPDAwzINvAMJzn48FjmM/nfu4994PO5z3nnPf7PWUKZ5xxBr///e97pUa/te94\n660mFi9u6/xtDqCy0qOiwqOlpYgQorP/itZQU5Pk2WdXd041W1Z/N3XqQUyaNJBUyiGVUlstT1Fe\n7nHwwdv3wfa73y1i3rwm0mmXykqP8nKXlhafO+/sneWCyJ2A6Cm9VHjEGSHxzwIjyvCDFOd85Xze\nXjyQTK6MtWsyzH0ziwkW849Hn0Kv/S9SLf+PROt121EWPa79gdHxzAUKSNMxcyEoInXcZsHImtK4\nOsaYIFIHxZk2pggmIPIOo1DxPxuPMQGJtv8i1XwZqeaLKNtwBummT5Jq+jxe+w93uFnd3mynZjom\nTZqEMYaVK1dy6aWXcumllzJo0CCSyWS3Y4UQvP766ztzOasfe/rpFdx442zmz2+hrCxuNlVVFf8G\nFDdyyxKGGiHimY6qKo8xYyoJQ01zc7GzuqJl9WeJhOLXvz6ZSy/9J2+8sYHGxhzNzT2nzYZhtN3/\nXzz11IouQT9AMqloaMgRBJoefrTvlDDxEdz8nxCmLa4sagzoDMgEyfYb4qqjQiGMz8xn3se7yweR\n8ARC+EgUxmjebahmwthG1q1tZtSYNE7wGjr/AEH6/I0X0lmUPwuh24gSx2DUiPhxIQm9o3HyM+NA\nRTggHYxOo0UZ2oQIUU2h+mZSLZd3vwFZSeSMolD1vXjGRqS7PO3m7sUJXkWYpjgtV7gIU0BGS/By\n83EKfyNKnIhfdkm3hor91U4FHcuWLev8e8c0X2NjY4/H2vRGa0see2wZP/nJnFIre4Hva955p4WD\nD66hvNxl6dI2Bg5M0t4eYExcXVFrg9Yaz1MMHpza07dgWbuNlJKf/eyDPProUn7/+0U8+mhDt30d\nUkIYwsKFLRx++OA9M9BtIcsoVP8EL/MzVDgPhEuYOALH/yeIKhBrQTgYPGb+u57qypB1TQ6OMkCI\nEIYwEgQRDKptQoatGFGDU3iiM+iQ/lyS7f+LMLk4Ezd/N5FzICLagNCtCL02/kMmLgxmkhg5BGMc\noJlIDMaIGrQzBhkuLhXNKzFZguT5W1wqcYtPYShD6oV0ZN5AhNSrMFShzEoIXiXV8v/IV9/WbVmm\nP9qpoGPOHNvYxtp5v/3tO52/XaXTDrlciFKCZcvaGTIkjRBw4IHVzJ3bhNamlC6oWb48w5VXTsLz\n1HtcwbL6F8eRnHVWPWedVc+RR/6ORYtaOwMP1xVUVcWZX1trCNeTKVNGcN99C7qk2RYKEfvtl+5S\n52NXMnIAxcrrOr9PtM+IAw1RDpEHJgChqCgrMGTABjY0D+mykTbSksmHLaWizMeICoRpQ+rSL78m\nIpn5DiAxsrQhVjfj5n9PpMYjTCtSrwYERlR3VhIVeh0SCUIjzCpSLdMoVv4vifZvI3QjwmiMcIm8\nowiTp5daBfT0i3VUqi+/sYmiMAVAgJQYdNzkzuTxcr+kWDG9V97jvmSngo799ttvV43D2kcZY8hk\nAlw3DhwOPriGhoZ2WlqK+H7E+PG1SCnwPIdDDhlAQ0Mb2WyI5ymOOGIw553Xi+23LauPa231GTas\njMWLW0sbrOPOsk1NBTxP8dpr6zj44JptXmb51KfGMmfO+k02kkJtrccll4zo5TvZyAgHiD/EI3c8\nMlyEMDnOP/NVXnrjDMYfkGHJ8gSFgosBxu+/hm9d/gTxFkUFhJ3BlgwXInQmrjxaIqPlYBykboyX\ndTb9GBQJhGnBIEFUUTDD8OQApGnBzf+ZfPUvUcEchF5N5ExAmIhk6+XIaDUIlyBxCkH6Cwi9BhnM\nR4uByGgJRqRLDRPjTaoGF0y0sVGdSMWzKPuAnQo67r//furr6zn66K23D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u7cufzgBz/g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\nzsVms7FgwQI6dOjgrSpcs4MHD/L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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "banknotes.scatter('WaveletSkew', 'Entropy', colors='Color')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "There does seem to be a pattern, but it's a pretty complex one. Nonetheless, the $k$-nearest neighbors classifier can still be used and will effectively \"discover\" patterns out of this. This illustrates how powerful machine learning can be: it can effectively take advantage of even patterns that we would not have anticipated, or that we would have thought to \"program into\" the computer." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Multiple attributes\n", "\n", "So far I've been assuming that we have exactly 2 attributes that we can use to help us make our prediction. What if we have more than 2? For instance, what if we have 3 attributes?\n", "\n", "Here's the cool part: you can use the same ideas for this case, too. All you have to do is make a 3-dimensional scatterplot, instead of a 2-dimensional plot. You can still use the $k$-nearest neighbors classifier, but now computing distances in 3 dimensions instead of just 2. It just works. Very cool!\n", "\n", "In fact, there's nothing special about 2 or 3. If you have 4 attributes, you can use the $k$-nearest neighbors classifier in 4 dimensions. 5 attributes? Work in 5-dimensional space. And no need to stop there! This all works for arbitrarily many attributes; you just work in a very high dimensional space. It gets wicked-impossible to visualize, but that's OK. The computer algorithm generalizes very nicely: all you need is the ability to compute the distance, and that's not hard. Mind-blowing stuff!\n", "\n", "For instance, let's see what happens if we try to predict whether a banknote is counterfeit or not using 3 of the measurements, instead of just 2. Here's what you get:" ] }, { "cell_type": "code", "execution_count": 49, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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TNDJNLwa8fhCqEUCYjm3bpFKpnEGC+SoJerVolnKNSinmzGmfcOyLLx7iBz94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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax = plt.figure(figsize=(8,8)).add_subplot(111, projection='3d')\n", "ax.scatter(banknotes.column('WaveletSkew'), \n", " banknotes.column('WaveletVar'), \n", " banknotes.column('WaveletCurt'), \n", " c=banknotes.column('Color'));" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Awesome! With just 2 attributes, there was some overlap between the two clusters (which means that the classifier was bound to make some mistakes for pointers in the overlap). But when we use these 3 attributes, the two clusters have almost no overlap. In other words, a classifier that uses these 3 attributes will be more accurate than one that only uses the 2 attributes.\n", "\n", "This is a general phenomenom in classification. Each attribute can potentially give you new information, so more attributes sometimes helps you build a better classifier. Of course, the cost is that now we have to gather more information to measure the value of each attribute, but this cost may be well worth it if it significantly improves the accuracy of our classifier.\n", "\n", "To sum up: you now know how to use $k$-nearest neighbor classification to predict the answer to a yes/no question, based on the values of some attributes, assuming you have a training set with examples where the correct prediction is known. The general roadmap is this:\n", "\n", "1. identify some attributes that you think might help you predict the answer to the question.\n", "2. Gather a training set of examples where you know the values of the attributes as well as the correct prediction.\n", "3. To make predictions in the future, measure the value of the attributes and then use $k$-nearest neighbor classification to predict the answer to the question." ] } ], "metadata": { "anaconda-cloud": {}, "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": "3.4.5" } }, "nbformat": 4, "nbformat_minor": 0 }