{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": { "tags": [ "remove_input" ] }, "outputs": [], "source": [ "import matplotlib\n", "#matplotlib.use('Agg')\n", "path_data = '../../../../data/'\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": 2, "metadata": { "tags": [ "remove_input" ] }, "outputs": [], "source": [ "\n", "def standard_units(x):\n", " return (x - np.mean(x))/np.std(x)" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "tags": [ "remove_input" ] }, "outputs": [], "source": [ "\n", "def distance(point1, point2):\n", " \"\"\"The distance between two arrays of numbers.\"\"\"\n", " return np.sqrt(np.sum((point1 - point2)**2))\n", "\n", "def all_distances(training, point):\n", " \"\"\"The distance between p (an array of numbers) and the numbers in row i of attribute_table.\"\"\"\n", " attributes = training.drop('Class')\n", " def distance_from_point(row):\n", " return distance(point, np.array(row))\n", " return attributes.apply(distance_from_point)\n", "\n", "def table_with_distances(training, point):\n", " \"\"\"A copy of the training table with the distance from each row to array p.\"\"\"\n", " return training.with_column('Distance', all_distances(training, point))\n", "\n", "def closest(training, point, k):\n", " \"\"\"A table containing the k closest rows in the training table to array p.\"\"\"\n", " with_dists = table_with_distances(training, point)\n", " sorted_by_distance = with_dists.sort('Distance')\n", " topk = sorted_by_distance.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": 4, "metadata": {}, "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", "
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)

" ], "text/plain": [ "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\n", "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\n", "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\n", "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\n", "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\n", "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\n", "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\n", "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\n", "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\n", "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\n", "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)" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ckd = Table.read_table(path_data + 'ckd.csv').relabeled('Blood Glucose Random', 'Glucose')\n", "ckd" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Some of the variables are categorical (words like \"abnormal\"), and some quantitative. The quantitative variables all have different scales. We're going to want to make comparisons and estimate distances, often by eye, so let's select just a few of the variables and work in standard units. Then we won't have to worry about the scale of each of the different variables." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "ckd = Table().with_columns(\n", " 'Hemoglobin', standard_units(ckd.column('Hemoglobin')),\n", " 'Glucose', standard_units(ckd.column('Glucose')),\n", " 'White Blood Cell Count', standard_units(ckd.column('White Blood Cell Count')),\n", " 'Class', ckd.column('Class')\n", ")" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "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", "
Hemoglobin Glucose White Blood Cell Count Class
-0.865744 -0.221549 -0.569768 1
-1.45745 -0.947597 1.16268 1
-1.00497 3.84123 -1.27558 1
-2.81488 0.396364 0.809777 1
-2.08395 0.643529 0.232293 1
-1.35303 -0.561402 -0.505603 1
-0.413266 2.04928 0.360623 1
-1.28342 -0.947597 3.34429 1
-1.10939 1.87936 -0.409356 1
-1.35303 0.489051 1.96475 1
\n", "

... (148 rows omitted)

" ], "text/plain": [ "Hemoglobin | Glucose | White Blood Cell Count | Class\n", "-0.865744 | -0.221549 | -0.569768 | 1\n", "-1.45745 | -0.947597 | 1.16268 | 1\n", "-1.00497 | 3.84123 | -1.27558 | 1\n", "-2.81488 | 0.396364 | 0.809777 | 1\n", "-2.08395 | 0.643529 | 0.232293 | 1\n", "-1.35303 | -0.561402 | -0.505603 | 1\n", "-0.413266 | 2.04928 | 0.360623 | 1\n", "-1.28342 | -0.947597 | 3.34429 | 1\n", "-1.10939 | 1.87936 | -0.409356 | 1\n", "-1.35303 | 0.489051 | 1.96475 | 1\n", "... (148 rows omitted)" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ckd" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's look at two columns in particular: the hemoglobin level (in the patient's blood), and the blood glucose level (at a random time in the day; without fasting specially for the blood test). \n", "\n", "We'll draw a scatter plot to visualize the relation between the two variables. Blue dots are patients with CKD; gold dots are patients without CKD. What kind of medical test results seem to indicate CKD?" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "color_table = Table().with_columns(\n", " 'Class', make_array(1, 0),\n", " 'Color', make_array('darkblue', 'gold')\n", ")\n", "ckd = ckd.join('Class', color_table)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ckd.scatter('Hemoglobin', 'Glucose', group='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": 9, "metadata": { "tags": [ "remove_input" ] }, "outputs": [], "source": [ "\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', group='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": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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FF1+U6eVYtWrVUY8/3PEM97Rr1461a9dy9dVXl277+uuvS/9et25dkpKSWL16Nf369SuTJTU19ajZ58yZQ2FhYWkRtWbNmmPmDlcqUkREpNZ6/PHHGThwIOeeey6TJk2iY8eOWJZFeno6Tz75JN9++23pmilTp04FYOLEiXTp0oW+ffuWe85bb72VMWPG0LVrV8477zw++eQT3nzzTV577bVj5jme4Z4JEyZw8803061bN8466yyWLFnCV199hdvtLpPl4Ycfpk2bNnTt2pW5c+eyatUq0tLSyj3niBEjePDBB7nllluYOHEie/bsYdq0aZXOFG5UpIiISLkCruSwv16rVq1IS0tj2rRpTJ48mczMTOrXr0+nTp3417/+hWEYzJkzh7vuuouhQ4cC0K9fPx599NGjDpkMGTKERx99lGeeeYZ77rmH5ORkpk2bVmbSbFW47LLL2LZtGw888ADFxcUMGTKE66+/nvfee6/0mAkTJlBQUMDkyZPJzs4mJSWFV199tcxtyoeLj49n7ty53HbbbfTr14+UlBSmTJlSa284MXJyco4980hCIpIXlYrktkFkty+S2waR377y5ObmUq9evVDHEGD06NH4/X7mzp0b6ig16mj/BtWTIiIiEgJFRUW8/PLL/OEPf8DhcLBo0SLee+89Xn311VBHCxsqUkRERELAMAw++eQTnnjiCTweD61bt+bFF18sHZYSFSkiIiIhERMTw8KFC0MdI6zVqmXxRURE5OShIkVERETCkooUERGp1BLzItWhon97mpMiEoH8/gCvvfMJP+/eS2rr5owa0u+kWUZbjl9cXBw5OTm43W79O5EaZVkWOTk51KlTp9z9KlJEItDU5+fyv28zcDmdrPthC3v353DrmGGhjiVhyuFwUKdOHfLy8kIdRU5CderUweEovxxRkSISYUzT5MfNP+NyOgFwOh2s27A1xKkk3DkcDi3oJmFHc1JEIoxhGNjtZb+1HXZ7iNKIiPx+KlJEIoxhGPxxSH9MM0BBUTFgce1lF4Q6lojIcdNwj0gEuujcXnTv1Jadmfs4JbkJDRLqhjqSiMhxU5EiEqGaJNanSWL9UMcQEfndNNwjIiIiYUlFioiIiIQlFSkiIiISllSkiIiISFhSkSIiIiJhSUWKiIiIhCUVKSIiIhKWVKSIiIhIWFKRIiIiImFJRYqIiIiEJRUpIiIiEpZUpIiIiEhYUpEiIiIiYalWFSlPPPEEbrebO++8M9RRREREpJrVmiJlzZo1/Pe//6Vjx46hjiIiIiI1oFYUKbm5ufzf//0f06dPx+12hzqOiIiI1IBaUaT85S9/4ZJLLqFv376hjiIiIiI1xBHqAMfyyiuvsGXLFl588cVKHZ+RkVHNiWpWpLXncJHcNojs9kVy2yA825eSkhLqCCI1LqyLlIyMDP7+97/zwQcf4HQ6K/WeSPpGzsjIiKj2HC6S2waR3b5IbhtEfvtEapOwLlK+/PJL9u/fz5lnnlm6LRAIsHLlSmbOnMnu3buJiooKYUIRERGpLmFdpAwePJhu3bqV2XbzzTfTpk0bbrvtNlwuV4iSiYiISHUL6yLF7XYfcTdPbGwsCQkJdOjQIUSpRMpX4vXxyPPz2LZzD94SD/f+6RpObZMc6lgiIrVWrbi7R6Q2mP7qItZ+/xOFRSUczC3k4WffwOvzhTqWiEitFdY9KeV59913Qx1BpFw7M/ficga/pQzDIL+wmAM5+TRJrB/iZCIitZN6UkSqSJOGCfj9gdLXcTFRJNSrE8JEIiK1m4oUkSpyy7WXkHJKU+x2G3ExUfz1hsuIclXu1nkRETlSrRvuEQlXcbHRTL3rBizLYvPmzaSktA11JBGRWk09KSJVzDCMUEcQEYkIKlJEREQkLKlIERERkbCkIkVERETCkooUERERCUsqUkRERCQsqUgRERGRsKQiRURERMKSihQREREJSypSREREJCypSBEREZGwpCJFREREwpKKFBEREQlLKlJEREQkLKlIERERkbCkIkVERETCkooUERERCUsqUkRERCQsqUgRERGRsKQiRURERMKSihQREREJSypSREREJCypSBEREZGwpCJFREREwpKKFBEREQlLKlJEREQkLKlIERERkbAU1kXKSy+9xFlnnUVycjLJyclccMEFfPjhh6GOJSIiIjUgrIuUpk2b8sADD5CWlsbSpUvp27cvo0eP5rvvvgt1NBEREalmjlAHqMjgwYPLvL7vvvt4+eWXWbNmDZ06dQpRKhEREakJYV2kHC4QCLBgwQIKCwvp1atXqOOIiIhINTNycnKsyh68e/dupk+fzsqVKzl48CCvv/46HTp04Nlnn6VXr1707NmzygN+//33DBgwAI/HQ1xcHC+99BIDBw486vEZGRlVnkFEJNRSUlJCHUGkxlW6J+XHH39k0KBB2O12Tj/9dNavX4/X6wVgx44dfP3118yYMaPKA6akpJCenk5eXh4LFy7kxhtvZMmSJXTo0OGox0eKjIyMiGrP4SK5bRDZ7YvktkHkt0+kNqn0xNl7772X1NRU1q1bx6xZs7CsXztgzjjjDNasWVMtAV0uF61bt6Zr165MnjyZzp078+yzz1bLtURERCR8VLonZfXq1cyYMYP4+HgCgUCZfYmJiWRnZ1d5uPKYplnagyMiIiKRq9JFis129E6X/fv3Ex0dXSWBDjdlyhQGDBhAs2bNKCgoYP78+Sxfvpx58+ZV+bVEREQkvFS6SOnevTuzZ89m0KBBR+xbsGABZ5xxRpUGA8jKymLcuHFkZ2dTt25dOnbsyPz58zn//POr/FoiIiISXipdpNx5550MGzaM4cOHM2LECAzDIC0tjeeff54lS5bw3nvvVXm45557rsrPKSIiIrVDpSfO9unTh9mzZ7N9+3ZuueUWLMtiypQprFq1itmzZ1fL7cciIiJy8jquxdwGDhzIwIED2bJlC3v37qV+/fq6VU9ERESqxe9acbZ169a0bt0agAMHDlC/fv0qDSUiIiJS6eGeV155haeffrr09ffff0+HDh1o27Yt/fv3Jysrq1oCioiIyMmp0kXKCy+8UOY240mTJlGvXj0efvhh8vLyeOihh6oloEg4yc0v5PVFy3jz3c8pLPKEOo6ISESr9HDPzp07adeuHQC5ubmsWLGC2bNnM2DAAOrXr88DDzxQbSFFwkFOXiF/ffB5cvIKsSyLT1au5cl7JxAbExXqaCIiEanSPSmmaWIYBhBcfdYwDPr06QNAs2bN2LdvX/UkFAkTb773OXkFRbicDqJcTvZkH+Tj9P+FOpaISMSqdJHSunVrPvroIwDeeustevXqRWxsLAB79uwhISGhehKKhAnLNMu8NgDTqvRDxEVE5DhVuki59dZbee6552jdujXz589n3LhxpfvS09Pp2LFjtQQUCRcjLjqHuOgo/P4APp+fhg3qccE53UMdS0QkYlV6TsrIkSNp3rw5X331Fd27d+fss88u3ZeYmFjucvkioZC9L4e0L9fTMKEe/c7oXOFzp45HfXddnppyI+98uAKn08GwAWcTHxtTJecWEZEjHdc6Kb1796Z3795HbP/b3/5WZYFETsRP23czadp/KfH4CFgmS1et44G/Xl06n+pEJdSrw/WXX1gl5xIRkYodV5FSVFTErFmzWLFiBQcPHiQhIYFzzjmH0aNHExOj3ygl9F57+1PMgIXL5QRg3Y8/sW1nFqckNwlxMhEROV6VLlKysrIYMmQImzdvJjk5mcaNG7Nt2zYWLVrEiy++yJIlS2jUqFF1ZhU5pt9OZDUti0DAPMrRIiISzio9WH///feTk5PD+++/z/r16/n4449Zv349H3zwAbm5uUyePLk6c0oEsarxjphLB56FaZmYloXX56Nty6a0at642q4nIiLVp9I9KZ988glTpkzhzDPPLLP9jDPOYNKkSVrMTY6poKiYB5+ezc7Mffh9Xu6++Uq6dWxbpdfo2rEt/7xjDB+kfUUDd10uH9IXh8NepdcQEZGaUekipbCwkKSkpHL3NWvWjMLCwioLJZHpXzPfYfP2TBx2O4XFJTz58tvMeOSvuJzOKr1OautkUlsnV+k5RUSk5lV6uKdt27bMnTu33H1z584lJSWlykJJZNp3IA+H/ddejcJiDzl5Km5FRKR8le5JufXWW5kwYQLZ2dmMGDGCJk2akJWVxdtvv82yZct44YUXqjOnRIBmTRqwfVc2LqcDy7KoExdLQt34UMcSEZEwVekiZdSoURQXF/PQQw/xpz/9qXR7o0aNePLJJxk5cmS1BJTIceu1l1BUXML2XVlEOWDSLVfgdB7XXfAiInISOa6fEGPGjOGaa64hIyOjdJ2UlJSUKlvRUyJbdJSLyX++CoCMjAxSWjULcaKT19JV65i14DP8fj+dUltx2w2XYrdrgrGIhJfj/jXWZrORmppaHVlEpAbs3Z/Ds7MWYzOCv1ys+voHZjdM4JpL/xDiZCIiZVW6C+See+4p81DBw40bN4777ruvykKJSPXZviubouKS0tdOh5OtOzJDmEhEpHyVLlLef/99zjvvvHL3nX/++bz77rtVFkpEqk/LZo2IjYkqfe3z+2jVvPzlBUREQqnSRUpmZibNmzcvd1/Tpk3JzNRvYnJiTNNk3pLPefT5eSxdtS7UcSJWYgM3N101lPi4GKKjnPTu3oGrh5f/C4iISChVek6K2+1my5Yt9OnT54h9W7duJS4urkqDycln6rNz+eq7TTjsDr74ZgNZ+w7yx6H9Qx0rIp3buwvn9u4S6hgiIhWqdE9Kv379ePzxx8nOzi6zPTs7m2nTpnHuuedWeTg5eZR4fazfsBWnw4lhGDgcDtK//DbUsUREJIQq3ZMyadIkzjvvPHr06MHAgQNLh3g+/PBDoqKimDRpUnXmlAhnt9kwDDj82YM2u25tFxE5mVX6p0DLli357LPPuOiii0hPT+e5554jPT2dwYMH8+mnn9KqVatqjCmRzuGwc2H/npR4vXhKvATMAKOG9A91LBERCaHjWielZcuWWv5eqs21lw3g9M6pbN2ZxWntTyE5KTHUkUREJIS0JrmElQ7tWtKhXctQx6i18gqKeOS5uew9kEt9dx0mjh9JfXfdUMcSEfldKl2k3HzzzRXuNwyD6dOnn3Cgwz3xxBMsXryYzZs343K56NmzJ5MnT6ZDhw5Veh2RSPHP6XP4afse7HYb+w/k8uAzr/PkfeNDHUtE5HepdJHy+eefYxhGmW05OTnk5+dTr1496tWrV+Xhli9fzg033ED37t2xLIuHHnqIYcOG8cUXX5CQkFDl1xOp7bL2HcRut/HzxrXs+mk9tgF/xLKsI753RURqg0oXKd9+W/7toCtWrOC2227jxRdfrLJQv3j77bfLvH7hhRdo0aIFq1evZtCgQVV+PZHarm58HPkFe9m+4SuK8g/y5cdvsG/fLSQman6PiNQ+J3yP59lnn81NN93EXXfdVRV5KlRQUIBpmrjd7mq/lkhtdOf4kTRs4KbXgD9Sx92Q3P1ZDB06lKysrFBHExE5bkZOTo517MMqlpaWxhVXXMHu3burItNRjRkzhp9++olly5Yd9bHyGRkZ1ZpByrIsi6x9OfgDJkmJCdi1tklY8Pn85OXlctNNN7FlyxZatGjBc889R6NGjUIdTX6nlJSUUEcQqXEnfHeP3+9n9uzZNG3atCryHNXf/vY3Vq9ezQcffHDUAgUi6xs5IyMjrNtjWRYP//sNvly/EcuyaN2iKVPvup4ol/OY7w33tp2ocGnfRx99xLBhw/juu++45ZZbWLRoEcnJySd0znBpW3WJ9PaJ1CaVLlKGDh16xDafz8fmzZs5cOAATz75ZJUGO9w999zD22+/zeLFi7VoXBj5ct1GVn+zgZjo4BN1t+/aw5yFS7lu5IAQJ6telmUx/dVF/O/bTdhsdi678GwGn3dG6f78wmKmvbyIQm+AOnEx3Db2Utq2bAbAth172Loziw4pLWjcsPonfzds2JDFixczfPhwvvnmGwYPHsyiRYv0fSQitUKl++ZN08SyrDJ/4uPjGTp0KAsXLuTaa6+tloB33XUXb731FosWLaJdu3bVcg35fbL352A77K4Rh93B/oN5IUxUMxZ9vB4Rdz0AACAASURBVIqlK7+h2OOjsMjDzHkfsm3HntL9j784n+279+H1+tl3II+H/j0Xy7KYuySNv/7jBZ6Y8Ta3Tv43q9f+WCN5ExISWLBgAT179uTnn39myJAhbNmypUauLSJyIirdk/Luu+9WZ45y3XHHHcydO5dZs2bhdrtLJ//FxcURHx9f43mkrN7d2jN74WeYgeAtrgEzwAXndA91rGq34acdOJ2/Dmn5/CYbt+6iVXITAPYeyCmdm2MYBgWFReTmF7Lo41W4nE5+GQ177Z1PObNb+xrJ7Ha7efvtt7n88stZvXp1aY+KhjVEJJyF9SzHGTNmkJ+fzyWXXEJqamrpn2eeeSbU0QRoWL8e/7x9DKe2aU5Kq6bc8X8j6dK+dahjVbt2bZrj8/lKXzsdNlJPaVb6OrG+m0DABIJDQ/FxscREuwiYZpnzmOYJz1k/LnXr1mX+/PmcffbZZGZmMnjwYDZs2FCjGUREjkeFPSmvv/76cZ3siiuuOKEwv5WTk1Ol55Oq16ZlU/5+W/UM9YWrYRecxc7MfXy1fhN2u43LLjy/tBcF4I5xI7jjwWcp8gaIi43mjv+7jCiXi47tWrL2+59wOhz4/D7O7JZa49nj4+N58803ufLKK1m2bBlDhgxhwYIFdOrUqcaziIgcS4W3IB/Pqq6GYXDgwIEqCSVBkXyXQSS3DcpvXyAQYM6ipezYvZcu7Vtz0bm9QrYSrMfj4eqrr+bjjz8mISGBd955h65du1bqvSfj105EQqPCnpR169bVVA6RiGe327l6+B9CHQOA6OhoZs2axbXXXssHH3zAJZdcwttvv02PHj1CHU1EpFSFRUqLFi3K3W7+ZmzdMAw9G0RqjR8ytvPdxu10Sm1Jh5ST94nLUVFRvPrqq9xwww0sXryYYcOGMX/+fM4444xjv1lEpAZUOHE2KyuLyy+/vMzclEAgQMOGDcv8admyJdnZ2dUeVuREeH0+Zs77kL899h9eX7yUe6e9wvz30kMdK6RcLhczZ87k0ksvJT8/n8suu4wVK1aEOpaICHCMImXGjBmsW7eOYcOGldluWRbXXHMNEydO5M4776RJkybMnDmzWoOKnIgtP2cy7p6nmPrcXH7I+JmiYg9Oh4N3P/si1NFCzul08uKLLzJq1CgKCgoYOXIkaWlpoY4lIlLxcM+nn37KNddcQ0xMTJnthmEwZsyY0ol2DRs25I033uDuu++uvqQiJ+Dp/yygqLgEwzAwTZNtO7Pp2iEe06rZ24DDlcPh4Nlnn8XpdDJr1ixGjRrF7NmzOf/880MdTUROYhX2pGzevLnc8WnrN/+xt23bVg/2k7BW5AkWKPXddTAtk0AgQInXx9k9OoY6Wtiw2+08/fTTXHfddXg8Hq644go++OCDUMcSkZNYhUWKx+MhLi6uzDa73c7GjRvp3Llz6baoqChKSkqqJ6FIFWjTsilen4/kpESaJyXSsnljbrnmYv7vikGhjhZWbDYbTzzxBOPGjcPr9XL11VezZMmSUMcSkZNUhUVKYmIi27ZtO2J7o0aNyjyJePv27TRs2LDKw4lUlb/eMJz+vbvQrEkDLujTnQUvTuEPfbrrrrRyGIbBI488ws0334zP52PMmDEsWLAg1LFE5CRU4ZyUM888k7lz5x5zJdk33nhDty1KWHM5nfx5zLBjHyhAsFD5xz/+QVRUFE888QTXX389Pp+PkSNHhjqaiJxEKuxJGT9+PJ9//jn33nsvfr//iP1+v5+//e1vLF++nAkTJlRbSBGpeYZhcN9993HXXXdhmibjxo1j7p130uLhh3EsXAi/WS9JRKSqVdiT0qtXLx544AEmT57MvHnz6N+/P8nJyQDs2LGDZcuWsX//fiZPnkyvXr1qJLCI1BzDMLjnnntwOhz845//ZMJLL2EAY997D/9rr1E0bx7Ywvo5pSJSi1VYpADceuutdOnShaeeeorFixfj8XiA4LLaZ511Fn/605/o169ftQcVkdC5u1076jgc3OX38zRwrceDc/lyHEuW4L/44lDHE5EIdcwiBaBv37707duXQCBQ+hDB+vXrl5k8K3K8/P4A/3nzI7bu3EPTxg0Yd8UgXE5nqGNJORzLljHR76cRMAhwAXg8OJYtU5EiItWmUkXKL+x2O4mJidWVRU4yT8x4i1Vrf8TldLLhp5/Ztz+XKX+9OtSxpBz+/v1xvf46Yw71pAJY0dH4+/cPXSgRiXgaTJaQ2bBlR2nPidPhZNO2XUcsFCjhwT90KP4+fbCio4FDBUqfPviHDAlxMhGJZMfVkyJSlVxOJwWWp3StkmiXM+zXLdmdtZ+576ZhMwyuGnY+DRLqhjpSzbDZKJo3D8eSJRQuXEjcJZcECxRNmhWRaqQiRULm//44iGkz3iK/oIg6cTFcN3JAqCNVKDN7P7f/8wX8AQssi6+/28xTk2/CXTfu2G+OBDYb/osv5uf27UlJSQl1GhE5CahIkZDp0TmFFx76M3uyD5DYwB32P+wXfrQKn9/EbrOBYZCbX8QnK75mxKBzQh1NRCQiqUiRkKoTF0OdU5pV6zW27djDmvWbaJXcmJ6d2/3uISWXy4lpHipSAMsyiYmKKvfYHZn7+GZTJq1bJNGjs3odRER+DxUpEtFWff0j02bMJxAwsbC44Ozu3HzN77tl9vIhfVm19key9h7EsixOSW7CBed0O+K4z7/8lsdeXkh0dAxYcGH/noy/cvCJNkVE5KSjIkUi2twly7Db7NhtwTV90r78ljEjBhAXG33c54qPjeGp+29kxVff43DYObtnh3LXdZn/Xjp2m71032cr1zFmxACiXFoDRkTkeKhIkYj22zuaLcvCPIHbnGNjorjgnO4VHmMe8Uwbq5xtUpM+Tv+atz9cjmXBub27MGqIVskWqQ10/6BEtIF9e+Dz+7EsC6/PR5dTW1MnLqZar/mHPt0IBAKl1+zWoQ0x0eXPXZHql7F1Fy/MWcKBnAIO5hYwb0ka6Wu+C3UsEakE9aRIRLvo3F40rF+P5V99xynNm3DJBb2r/ZrDBpyNz1PEjr15tElO4uIauKYc3drvfyJgWvzyFA+73c6a9Rs55/ROoQ0mIsekIkUiXq8uqfTqklqj1+zavhUjL9ZdPeEg5ZRmZcb9fD4/7Vo1D2EiEaksDfeISETr1rENlww4C5vNwGYz6NOrE4PP6xXqWCJSCepJEZGIN2bEAK4efj6WBQ6Hnt4uUluoSBGRk4LdruJEpLYJ++GeFStW8Mc//pH27dvjdruZPXt2qCOJiIhIDQj7IqWwsJAOHTowdepUYmKq99ZRERERCR9hP9wzYMAABgwIPh33pptuCnEaERERqSlh35MiIiIiJ6ew70k5XhkZGaGOUKUirT2Hi+S2QWS3L5LbBuHZvpQUrbsjJ5+IK1Ii6Rs5IyMjotpzuEhuG0R2+yK5bRD57ROpTTTcIyIiImFJRYqIiIiEpbAf7ikoKGDLli0AmKbJzp07Wb9+PQkJCSQnJ4c4nYiIiFSXsO9JWbt2LX379qVv374UFxfz8MMP07dvXx566KFQRxMREZFqFPY9Keeccw45OTmhjiEiIiI1LOx7UkREROTkpCJFREREwpKKFBEREQlLYT8npTodzM1nwUercDhsDBtwNnXi9ABDERGRcHHSFikHcvL4y9+fp7CoBNOy+PyLb/nX/TcSFxsd6mgiIiLCSTzc8+Z76RQWl+Bw2HE5Hezdn8tH6f8LdayIs/b7zUx99g2mv7qIgqLiUMcREZFa5KTtSTF+89oCbMZvt8qJWLNuE1OffwO7zU7ANPl+0zaemnwjLqcz1NFERKQWOGl7Ui4f0o/42Gi8Pj8lXh9NGiVwwTk9Qh0rory39AvsNjuGYeCw29mRuZeMrbtDHUtERGqJk7YnxV03nqen3MR7S7/EYbdz0bm9iI2JCnWsiOJ0OrAsC+NQD5XNZiM6Sr0oIiJSOSdtTwpAvTpxXHHxuYwc3FcTZqvB2FGDiIlyUVRcQrHHwxldUmndIinUsUREpJY4aXtSpPo1auhm+oO38PV3m0moG89p7U8p7VURERE5FhUpUq3qxsfS/8zTSl/n5heSsXUXRfk5pKSEMNhhdu7Zx57sA7RpmURCvTqhjiMiIoeoSJEas2nrTqb8axa5+YX4fV62Z+dx9fA/hDTT3CVpzF28jBKfn7rxsUy6+Qo6pbYKaSYREQk6qeekSM166Y338fsDxMfG4HQ4WPzpFyFdO8Xr8/HOhytwOp3Ex8YQCJi8PO+DkOUREZGyVKRIjfH7A2XmpJgBk5ISX8jylHj9BEyz9LVhGPj9gZDlERGRslSk1GI+n5/XFy3jqf+8w4+bfw51nGM6q3sHfD4/ECxYWjRrRH136OaAxMdG06ZFEj5/MJPX5+P0LqkhyyMiImVpTkotZZomkx7/L5u27sTpdLJ8zfdMHH85p3dpF+poR/XLrd5r1mdAoIS7br4qpHf7GIbB32+7hv/M+4g9+w7SrWMbhp5/ZsjyiIhIWSpSaqmfd+9l05adREW5gOCy/gs+XhHWRQrARef24qJze5GRkUH0oeyh5HI6GT96cKhjiIhIOTTcU0vZ7bYjHkCkZw+JiEgkUZFSSzVv0pDuHdviKSnB6/NhsxmMHn5+qGOJiIhUGQ331FKGYXDfn0aT9sW3ZO/L4ZxeHUlq1CDUsURERKqMipRazDCMMqu5ioiIRBIN94iIiEhYUpEiIiIiYUlFioiIiIQlFSkiIiISljRxVkRCy7Iw/PvBsGHZ3DjzPsBe/B3goKT+ZVhRLY95CsN3gKgDs8AsxnS1xFt/BBhH/+/Nkfc5joLVYNjw1huEGduxChskIlVFRYqIhI7lJyr7OewlWwEDyxaL4c8Huwssi5js5ylqei/Y4yo4R4Do7OkYgTwwbNi8ewAb3gaXl3u4rXA9rpwFwSLGsoje91+Km9yB5WpcLU0Ukd9PRYqIVMzy49o3G7t3KxYOYs1eQMoRhxm+vUTt+y+GWYBlb4AncSzYYys8tTP3E+yeLWBzAmAv/gHL0RALFxgGBPKxeXdixhz9wY9GIA/Dnws2e3CDzYnNu/2oxzuK1gKHjjUMML3YPT/iV5EiEnY0J0VEKuTKWYyjaB2GWYQtkEuSuRgChUccF539AjZfNoZZjK1kO1H7Xj7muYPDPIf9rmS4wCz+9bXNheWoX+E5LFsslu2w50BZJtiOXhxZzsZgBcpsM51NjplVRGperShSZsyYwWmnnUbjxo3p168fK1euDHUkOcl4Sry8v+xL3v3sSwqLPKGOU/XMEuz5y3HkfV62SAAM706wHSokTC9RZOHIXw6W9etBlg8jkA+GgREowF6yGVfuZ0RnPgqBgqNe1h/XK/he/34M335MZxMCUSnBQsMCb90BWM7EirPbovAlDMfChmWZWHY3JQ1GH/VwX70/EIhJOVSoWPjje2PGnHqsT0hEQiDsh3vefvtt7r77bqZNm8aZZ57JjBkzGDlyJKtXryY5OTnU8eQk4CnxctuDz7Nzz34Mw2DBRyt48v4JxMfGhDpa1TBLiNkzDcO3BzBw5n9GcZOJpUM1liMRSrZCoBh7yWZs+GDv8/hKtlLSeMKhkziw7DEY/jxs3h1gWVg2JzZfNtFZz4E9Gkwv/qi2BOqcg+VIAMPAdCUBJob/IGBhOhvhSZqIQQmWEQW2qN9k9eI6MA+bLwvLkUBJgysBg0B0G/zNJmOYJViGE8PyBgsdo5zfwwwHJYkTwCwAw15hr0tVcuSvwFHwRXCyrnsoZnSbGrmuSG0W9kXKv//9b6688kquvfZaAB577DE+/fRTZs6cyeTJk0OcTk4G7y9bw66sA8REB39g7j+Yz1vvp3PtZQNCnKxqOApWY/iywBYNBOd4OPfPx7C7wPQAFpZlYS/ZjmH5MHFhs3w4c9/HW38ElrMhGAbe+D7EZE2HQB7gwHQFf4lwFH6JGdUKmz8LZ95nmAffIRB7Gp7GN+PK/QAMJ2Z02+C1zUIcRWvw1+lTbtaoff/F7vkRcGIUf48jbymWLR7sMVi2OvhjTsNZ+AXgA9ODP64Xvrp/wIr6zS80hgH2OtXzgZbDVvgNroNvlU7Wjdr7Ip4md2E5Kx7KEjnZhXWR4vV6+eabb7j11lvLbD/vvPP44osvQpRKqkp+YTGPvjCPrL0HiY2J4vKL+tKhXUvcdeOP+1yWZTFz3oesWb8Ju93G1cPP58xu7askp9fnx2YzSl8bNgOv118l5w45ywoWKIFiMJzBnoeAD1f+x1j2uthLtmMZDsyoFhiYWPZ4rIAJGBiWD8N/MFikWBau/DTM6BTsnk1gBbD5s7GMRoAFVknpbcaGVYjNtwPXwUVAADAOC2QD6zefrVmEzZuJZa+HzbsTDCc2724M/0EMswjLFoPlTMS0m0QdmIMZ1Rpbyc/BuTH+gziKf8DTaHxpIRQKzqKvf517YxgYpgebZwMB51khyyRSG4R1kbJ//34CgQCJiWXHpBMTE8nOzi73PRkZGTURrcZEWnsON/Gfz7Ft517yC4vYmbWfxZ+spkPb5lx36bl0Tj322hiH+3jlehZ+8iVOR/Cf9D+efo37bh5J/XrHX/D8VrvmCRiY5OXnYwAul4MuKUnH/NqE/dfOsmhqvkO8tQknuzFLHBTTFBcH8JFAFHsIFhF+PEUHiQKMQAngIBDwESCajJ+LMG0ZGJafNoGDYFgYViLRZGOZfnICTYi2Atj9eUTjB2z4AxYlfi9FRVvINs6jpbUCw/IDFgEjhu0l9TGzMqhj/kg9cw112IRJHCYuPHgxiSaWAxjBWSiYJlgl+/HgJBoPHv8BYigA7ARMDx5fIcXb3mSXfUSlP5qq/to1NP0kmHlYRvCuIsPysdNTRLGt8tdJSTnyjiqRSBfWRcrvEUnfyBkZGRHVnsNlZGTg8VnUrVuHrbuycTqcgEFMTCwfrfqBS4f84bjO98YHa3DXq1f6urDYgx9XlX1+Lz96Cm8sTsM0TS4f3JfEBu4Kj68NXztb8Y9EZ+8GWwOw6uHw7iE2qj5mVE9iPRuxefMxTC9YAWJcMVicApaFv2Qvzqg6BBpcQ5t6XUrPF53ZCpsvE4w4sOoSiOlMTOJ1OHLew5X7MTbPPrA5cUS1xGFZOBv0Iy7+dAxfa5x5HwN2vO5BtLHH48hfhevgstIeEWw+AlFtIFCM5YjHXmTDMAwsqw52LLA5iHHGYQQaEGuLwea1AwaG002cI47o6AbENjr618MI5GEr+hbL7mbjTicp7doFt3v3YC/ZjOlqjhnVquIP1DKDi9AFigjEdgL7YQWy1YrorCJsJT+DYeCPO4fmDY7v37jIySisi5QGDRpgt9vZu3dvme179+6lUaNGIUolVaVufCyFRcWYZnDOg9NpxzAMfD7fcZ8rOakhX3+XgcsZXG/D5bDTsnnVrXuRUK8ON141pMrOFw6MQC5w6A4dw4HpaoYZ3Q5vwnCi9zyO6aiPvSQPyxaFZURhRrfB0+hGtm1eT6tWHY+YcOppdBNR+2dhBHIxnUl4G4wCwO++CH+dftg9m3DmLQUs/NEd8MecFpxg62yAt8EfcRR8QdTelzEMG/jzDg2PWMEhKLMELC/Yo/A0uQ1n3lIcBSsBE5svC9PZDH9cd3xxZxCV8z5Y+WD6sOxuMOx43Uf/2hnePcRkPQVmEWDR1GwG1kTshf8j6sAbYPmCk13rDsDvHlT+SSyLqOznsRdvAMPAyo3H0/j2X+ecGE48jf+MEcgJ9qbY657Il07kpBHWRYrL5aJr164sXbqUYcOGlW5funQpF198cQiTSVW4c9wIHpw+h/jYaAqKPbRpkYTX56N9SrvjPtdVw85n+65sNvy0A5vNxuWD+9K8ScNqSF07WJZF+prv+CHjZ3p0SuH0Lkd+poGYjmCLP/RD2ABMfPFnYTncFCfdHbwTxQwWjJbDTSC+JxgOfIa7tECxFX2Po/gHAlGtCcR1p6TRuPID2eMIxHUjENcN14H5uPKX4sr/jEB0a0oSx2Er+h7XgbmlE0tt3p8xnU2x7HUw/HsP5bMwHY2wHIl4G4zCH9sVe8lWAtEpGP4DRB18G0fROixHAkXJT2Ir2YThzycQ16PCCaqunAXBeTCH7iSKszZj+DJx5n0ULJCM4HZn/udY9obYS7ZiYWEYNvyxXTBj2mEr2YLD8yOWPXjHl2GW4MpZQEni9b9eyDCCdzWJSKWFdZECcPPNNzN+/Hh69OjBGWecwcyZM9mzZw/XXXddqKPJCWqelMgL//wzBYXFzFrwKbv27KdNyySuHn7+cZ/L4bAz+c9X4fX5cNjt2Gy1YgmgavPS6+/zftoaHHY7H6X/jyuG9mfk4L5lD7LXobjxX0p/SPvq9P11ZVdbDIGYU8FwYtkb4sp5B1fmZ1iGkyjzDCAFR+6nuHLfBWw4ClbiL/npqEvR/8Lm2RRcY8XmAgzsxRk4cz/G5t11qEABmz8L/IXYzM1Y9kRMe30suxt/XC+89S87VLCAGZMazGuWELN3BhAITsz1H8R14A1KGt9UuQ/LMkvPCWBgYVh+DMssm927i6gDczB8e7AFcjEdjXAUrMZbfwSmw41lWWB6ARNwHbFgnIgcv7AvUi699FIOHDjAY489RlZWFu3bt2fevHm0aNEi1NGkisTHxTBhdNUMpfwy3HMysyyLtC/Xl34WNpuNj5Z/fWSRAliuRkf2fpglRGc9fehOGhuWEYVhesDmwrAsmllvgXk6zvwVGIFcjEAhli0ae+H/oP6I8tcmOcTm3V12g2HH8O3BctQDjx/Dn4Ph2w82i4AjGQw7nsYTMWNP/aVxOPKWYff8RMCVjL/eBRhmEYZZ8uuCc4YNwzxyRdyj8dXpi33fTwTXtgxQYjTC5WqKP7YrzvzPgsWT6Ssd9jHMfDDs2MxcArZGOPI/x9Pkr8E7dg61z7JH4UkcU+kMIlK+sC9SAMaOHcvYsWNDHUNOApZl8ePmn9l/MJ/T2p9CvToVPNjud9i+M4utO7PokNKCnZn7eGHOu3hKvLRp2ZS7b7z8qEWWZVk8/d+FfPP9Zmw2G6OG9mPAOT2Oeh2jzG295TBNHPmfYfgO4nOfB44GpbucOe9h8+0uHf6wezZhOhoHez8MA4dViOHLxvDtwOYLPszPCOQf6kWoWCC6PRjvHtYwPwTysXsygr0pgQLAwLTVA0fd4Oq3hzXFdeAtHAUrwDJx5i7G2v8qgZjTsOyxwULFMMD0la7RcgTLh82zMfgRRJ8anIsT2wlP4nicBSux7PH87GlPW8OBL2EIlrMB9uINBJxJOPOWYVD+fCmbLwvLFo3prA9WAMvuxlG0Dm9sp2N+JiJydLWiSBGpKdNmvMXnX36LZVq468UxdeINNKuiuS1vvvs5ry9ehs8XwOm04/F4iY+LwTAMvvlhM8/Nfpc/jxlW7nvfen85aavX43QGv2VfnPMendq1omnjBkccaxgG5/buwruffYlhM7Asi0H9ev56gGkS+/Mt2Eu2BCd8HnydouZPYMa0AsAWyKXMfw2GE8PyYBFc/MzEic1eL/icHYJzRTD4daJrBSxXYzwNrwku4mZZmFFuHJ4NhybutsDm3U7AFg/OQ5+5LQrL8evnb/d8G3yAoGczhunHsPKwfNmYjgQsVyKYxZgxLfDWL+d2Y7OE6D1PYvPtAgtMVzKepL8GF5OLaUdJTHDejrX/19uC/fG98cf3DkYxC3EULMeyxWME8jAdDcHy46/bH8xcMMByNf31YzOP/jgAEakcFSkih+zcs4/la74jJirYg+Ap8TNj7gdM/vNVJ3zuQCDAgo9W4nQ4cDocFBWX8NOOTLq2Dy6N7nQ42ZW576jv37hlZ2mBAlDi9bNp685yixSAG0ZdSMeUlvyweTvdO7ala8dfFzKzF6zGXrL10OJtwUme0VmPU9RqOgC++DOxF68HgpNYA66WWLZ62MxcLMPGXlt/GjncmM6mwdrEzMeyxWLa6xNcjM3CXrgWm383/pjTsKLKDs2asZ3xxHYGwLXvNQ5/IrHpTMLChmFZWIYdX72BwcXifk0fXIDO8h+aR2IcWiCuhOImkyr8GjjzlgZ7fmzBya02324ceen4651X4ft+4a1/Gf7oNtg9W7EIFoOB2C6YUadAoAjL7v61N8fy44/recxzikjFVKSIHFJS4iVg/jpZ0mYY+P1VM/kxYJplzu1yOXDY7aWvfX4/TRsf/Q6Utq2a8tV3m3A5gsNBUS4HKa2aVXjNM7u358zuR666a5h5wYcDlg6jGBj8usqrGXMqngbX4MxPxzDslLiHBpeVN4Or0uZu3kojwOceiG3/G4cWKHPgq3suGAaufbNwFK4Bw44zbyklDa4kEBccmjL8OWB5sRwNwLATiG6Lo/DrYMEEYNgpaXQzpqvpoSLq0H9Rlg/X/rkY/lxsvp+xLBPj0LN+wMSqxC29hlkcfFZP6QYbhlUEloUzZzF2zwYwnLjM04Hy11Qxo1OxnE2w7Allnytkj8XT+E+4Dr4Nlo9A3OmlbRaR309FisghLZo2omXTxmRmH8DhsOMP+LngnO5Vcm6X00mHti1Y+8NPuJxOTNNk5EXnsGvPfjxeL+3bJHPjVUOP+v7LB/dld9Y+vvlhS3BOyuC+v3sYyh9/Npb9ZQyziOC9LBYl9cpe24zrSklc17JvtJV9oGIgrifFzpbYvFswnc2xopqBWYyjaF3wB7hlYfNnE531LMVJt+Mo/h5HwWrAxHQm4Wn8ZwJxZ+L37sZetBYw8NW9oNwH70Xtm4O96BuwOTEdSeAwMR31MawAlsNNScMbjtluX50+OPLTMLyZwYmwNjs2bzaOnMXB9VtsTrAsmlvzwOxxRHtthd8QdWAuhunBssdRkji2zAJvlrMRJY0mICJVR0WKyCFOp4NH7r6B/8z/iLz8Qs47q2uVPf8H4G83X8HshUvZmbmXLu1PYfB5Z2AYx5jgeohhGPx/kGnZaQAAIABJREFUe3ceJkV5LX78+1ZVL7NPzw7DIIImgsAVFRdEZdEYFcUQETGKMWpy0ahoomJMfibXDY0aNZH8vEFjjHhNAkYxGhW95rrgBWNAYlRkEWFgZhiG2ae3qnrvH9X0TDsDw2r3wPk8D0+gp7rq1CDpM2+955zrL//mvgnEyqPtkEfIqr0H5UaIFUzCDu2gSVlvDB/azO2yqqCT/2PE1qOcDlABgjW/9CYb+0oAEyNei7/xOWLF07yy4qIu92Y3YbW9izaLcHJGg2F4k5WNxGqLGQQNkf63dEskAFRsk7dnxH9IcpJz4sYBhXJiKLcJ3ABmeCVWS13nXhKlsHQHKl7rPcbZTmsCjQtROGD4vD4oDf/lxSCE2G8kSREZRWuN47hYltn7wftBTnaQ78/YP40CLcvk0m9mSCt0fxnhgffv3nvcCOBP/tHo+CfBrb8H7SUisdBk7LxTcLKGYra/7yUoKLSvyOs9Ym/r3F+iLJTT0u0SRuRzsjdej3LavfbxwSMIVz2ANrK8DrmJpE4bvmSTtZTbavhjohOtgzYLiJRdi/Z73amttv/xSqpNP4ogKDCcJjRO56BEwMXyNgancLyOt9sphdK9VzOl3Fv4I3ytbwIGsdB5aJ90zRaiNwd3xyuRUf716XqumP0LLr7+Xq796Vy2NXkfYq7r8rf/Xclzr77D1m3NaY7yIGS3kbPucvLWTCV3zRTK7UUA+JsWeftajGxQJv6mV0BroiWXES+chGsW4ASqvP0bOg6uDU7UO6drY2cf1e1SwdqfJ3qe+EH5sCKfYIaXEy2+GG3meA3SlEU0dGG3fizK3obVvtR7r5HlrXY0LuhygB/o0rhNa29EoVWKaxWDdtFAg3ES2vrC/iBloX39Oic0u3Fc/673ajLCqwnWP4YZWYsZWU1W7YOJcmshxM7ISorICFpr7vvPBbSHoyilqNmyjfv+cwF33ngZ/++BJ1m56jMMZfDHF9/intnfoapf3/kpNByJ8qvfPU9tfSP9K0q4+pJzCAb8vb8xQ2Rt/pnXN0VZKBzKeY1I7ELUFzqqahy8rq8W8cIzUXY9VtvfMaKfodwOXF85hl1D3DcCp3Ac2ggSrH0AgFjeBNyco7w+JF2TDw0q3oTOOYZw/5+gnFYvWVGp/WSU3Uxgy2MYkXVg5eFaFYlkpHNDcDxntNfq34gBLaBMryopMMibq6PDaBWgce0GetrtEyn7dwINz6CcRm82Udcy50RDOW0W9NjMztf2NmB0JkhuG2b4Q5zcE3b9L0KIg5AkKSIjdISjyQQFvC6pjS3trF6/iQ8+WUd2MAiAbTv8bsFr/Piai9IZ7m6545dP8/Hajfgsi3Ub62hrD++TsuYvi2E3dFbZAAobM7oBJ3gEVvu7XsLg2rhZX0k5LlZ8CY5vIMGtv/Waqxk+tC4BXymOf5A31C/xgR5s+D0Rq4Bo3mlkbf2tV4WjXbSZg517XOLCJtrqYfq0dgjW/RJlN3oVybGtGFrjWqU42UeD1vgb5mN1LPd6s1ghokVTvYTByMbJGeWtlNBLt2IjSLSHLrJW86v4m1/zmrj5SgiXX/eFvTCgjRy8dvmdjzF3pSJJiIOdJCkiI2RnBSjMz6WxpS1Z+tu/vIh43PFmogDbmlvZVFPPxpp6qvqXMmPKabu88TRdtNas37QFn+X9U/P7LNZvrE1zVN1Zre9gtf4NBcRzjscu6Nw74/gP8fqLKDPxiMSPHTwcck/ANQswY5+hfRXdJw0rhQ4OBqugc9MroKKbyNp8J2a8Bm2FEmXECqv9fWJF5xPvWIGv4wO0sugovx6svJ3GrpwWL0ExTNzAYK96R1nEii/Ezj0Oo2OlVxJtBLx9KG4HSsewC7621983ZTfib37F+94oE2VvJbDtD0RLU2eLxULnYEbXJGIzcLKG4wb33aZsIQ5UkqSIjKCU4rbrvsV9v1lAa3uYARUl/OCK8/FZJoOr+rF2w2bWfb4ZlKIwP5fnFy+hrLiQM8eNTnfoO6WUIjvop6UtDHhJSzDYfcNn2miNEfscf+PC5CqIv/klXF85bqLhWqT/LajqWzCjG9CGyefuJMoSm0ztwjOwtYuv+WUC9Y/h+gcSL/h6oj191Bsm6LR6832sInDCGKrVq5LRNsquRym/99jFKsNqfgVDd+BkeR/ggeYXCOeMhJ2sOmgjG21YqK7dbpWFTqzSGLG61EcwysSwt3hfC3/iTTdWAeJF3+h5dUNrfM0ve5OZ/VWJ+/POp5xWlI4nesV456anTrMqSLjih948JMOH6xuQMtRQCNEzSVJExqisKOEXP+neZ+LeW67gtgd/z6baBiorSsjN9spOV3y0NuOTFICZF5/DLx5bSFtHhLzcLL4/Y8f9UL4sVuu7+JpfSkzqdb/Q3M3E6vgnsUSSglK4wcO9ahrDh+N0fpCrWA3B+t+gYpvByseMfIKytxIrvohg7UMYdi3aKkbFanDNfNycY73yYsOHNlsTCUwLds6x2HljCdT9GiNWk+zh4poFGLHNuFk7eTRiBIgXnoOvcRFmdC1Kuzi+cgINTxNzYzjZw6H11cQ9KtAOds4xGOFPCNb/Bq9+QGPWrCXcQ0mxv2E+Vvv7YPgww5+g7HpiJZcC4PrKcM0CbwBjYm6QEzyi881a429ciNn+D69aKWcM8dDZe/E3J8TBRZIUkfGCAT/fm34Wn66rTg7gi8VtBlb2jc2zRw8/jN/MuZ5tTa0Uh/IJ+NM7qVnZ27zOqNt/ko83oXRHZ68QbeMGDgG8x0D+hqcx4nW4/kogQLn7Cr6tYayO9zCjG70ZNUrh6lK0rxQz/DGB2ke8ShszF9cqRwcq0WYuds6xXkM3pbx9KjpMLO9r2KFzQCkMu84rTVYmJMqWv7hJtid23lgcfyXZNT/HNXKS92Z2/B07bwyRksvwN/0V0Nh5Y3GzhhLYkkhQEu31ldOIGV4NpPZeMSOfeqtM2gZlYUY6Z/tgBImUXU1g2x9Bx3CCR2Dndz4qM9uXYbW+k2gUB76W13GCQ3CzjkAI0TtJUkSfMHhgPy48ZxzPL34X13U5dsRhXDjp1L0+r9aa197+B2s31HLSscMY8dVDe3/THggG/Ducs/NlU/Fa0GFQic2dvkK0m4NOrCg4Ocdg547BbFuGv3Ehhr0FpaOY0c9wgoeTxSb8DU8mVjs0GgVGDobdgGOVYsbWeImLG0G5EQzt4voqUMrCDQ4hnj8Rq+1tlHKxs45JJijgrUxo5feGHCrDq9LRPU8e7sbMRxvBlBLj7RtV3axhRLKGpRyujSBe8znveIVCm9l0G5LohjEjn6K1g1ImdiC1Zb72VxCpuLbnkKJrUzYTo8CMrpMkRYhdJEmK6DOmTTqVqWedjOO4KcP29sb9v1nIO3//kJjt8MvfPcfhgyqZMOYorrr4nLQ1lNvftK8fqC6rBW6ceMHpxAvOwKv59b63VsfyxN6OoDfjBo1yO7BohUQzNLRC4eJq7c3/0VG0kQ9GEG2FvJUQpwX8A4iGpgAQD00iXnhmyrWSsbk2htOU+IONYW9BW6HuN+G0Edj6JIbThGuVEC25BG0VY+cch9X2LuCCkY8dHEmw5l7QDk72UYnremKh87zHQ3aDN70oaziubwAB/R4qlocijjYLvGGG2kElHospdjFpgkQF1HvQpXLICX51l98vxMFOkhTRpxiGgWHsmx6EHeEoyz74BMuy+HjtRmzbYc36zYDC7/Px7986MPcOaCtEpPgiAk0vAA5O1siUzaDJ44y8RFltBVrbKLcNbRZik0sAx3sMo2NoFNrMxTWyiOedgtW2zJsI5O+PYxSirQJvr4eZ23ly1XMC6At/jMbEK9dNTFTuWIVdUJ5yXHDL/8eI14AyMe0GAvWPEy2/OlHRMwblNOOaIa/MGbxHSS2voq1C7NwTvdfMPML9ZmNE14DKRhsFZNXczSHOenLXN+Ka+Wh/P3DbcbIORzlhtBFMlBPvGifnaOKxzVjtfweliOeO7XE2kRCiZ5KkiIOWtxVBEYvFiccdDMNb9g/4faz+bFN6g9vP3JxRhHNG7fSYWGgyvpb/Rtl1gCKedyqRfj+k/ePbqVDL0NrnlRlrMJwW0GGMhqdwgiO9x0k6ivaFiJTNTE1QdkIr5c3jST6yidFlR2/iNY2yt3YmOsrEiNd13lvA6wRrti0DHQUjmDjOh9nxUWeSAmAEcbOGAxCom4ty2wnQBNrFcJpwdJm3WmPkoK38RNJWukv3sl08NIl4aFLvBwohupEkRRy0soIBTjx6KP/9zgqU4e1PKS8N4TgOoYJd+1A9ICX2gPha/wdt5KID2YCBEa9F2duoMc8nFKrCiK4DswCrdQkQAzRKxzGjH9N26OMopwVtFXcZPti7SMl3yNn0E29KMRrX1x877/jUg5RCG9kopzVRraMTe0m+cBu+itQVG9fG9few2dqNej1OdDSxmqSBGMqxMWLVuL4KnMBgbyXJKiZa0qURn3a9RGp7IiSE2KckSREHtVmXfYNRww7jpb8t5ZO11QQDfsqLC7nm25PTHdqXT2v8DU9hdXyIViRm6Pi6tHIPY0Sr0SqLWJfOq7mtb3c5iVeGi5nrTUfeTUqBGxiEim8BZeEGB+E9+kkVK76YwNYnUG4YbeYQLZnR7Rg3MJB43gRvk67WOMHDiBd0mfasbQJb/hMzth6NiWsWJZIjx7t3ZaLsdgy20lH1IGx/zKg1ZvtyrLZ3MCNrwPDjWiVEyr7frdOsEGLvSJIiDmpKKcadMJJxJ4zEth3C0Ri52cGM72S7P1ht72K1/wMMHwpQ9la0CoIVQsXrUE4rvqYX8bmnAp0VLo7/EMzoam8fCgZOcNCex9D+D7RVgLa8KcTKbsGIbsTNSq2ocYODCVf+FFyvSZ5yW8GNecMFu4iHziFe+HWvfNhILS32Nf3FKyc2fCgczPhm4rljoGMTrmEkhxy6vnLQ7YDX+dbf8F9Ybe9ixj7zYvH1x9AOgYb5RMuu3ON7F0J0J0mKEAmWZZJnZfV+4AHKiG1IqbbRllcOrOytGE4jrq8Cw9lGlf4juKOSH/qRyh8TqP0lhl2H6ysnWn7dXgSRlZh03LnfZIcrMsrADH+Ev3EByo2hzVwiZd9D+wd84Thfj71WjHh9Srt+sHGDh9OujsCXFU6uIGmU18gOvC664RUkng+CMlB2A9oq9Pq7CCH2KUlShBAA2NkjsdqXkfy/BaWIln8PX9NfILYxeZyl21DxLcmGb9pXQqTqZ3sfgBsjnj0So+MjDLcDrSzs3BO8CpueaJdA43OA9lZD3AiBhmeI9Pthot3/RnDbcQOHJveMWM2L8bUtARSOGfIe7xi+RMKRhRs4hDp1BiH1V5TbAspPvODsLis0iUdPypdo8OaA0uDGcBPJkdX6Lr6W1wAXJ/vfiBVOlhb4QuwhSVKEEIDX8CxWeC5W4kPczhuHGzjU63vSZXXDxY9h5idm2vwVI7oe7SsnFpqc0pm1Nyq6EX/zSwDE804hsG0BKr7FSw60wsk5hnjhWTs+gY5B154lSnnt6bXGv/X3WB1/9zbVWkVEKq5HxarxN/+1sw+M3YgdHIrpbEUrg1jhuWgrRMwoI1x5K0Z8C9rMT+3TYmRhB4dihVfi+Kow7M24/gHYOccSK/omKlaDv3FB8ntltbyJa5Vi5520W38XQgiPJClCiCQ7fxx2/riU12LFUzFqa1F2PSiTBmMMJVbI25vRvsxbVYisxoh8itJRr5+IVUCkdCba10MjNkDFtxDc8iuU9lYmrJb/8Zq/aRvDbgDtYob/RbD2AcL9bum5QsgI4lqlnROa3ThO1qGo+GasjveTqyfKbcff+KzX94WugwYNtL+McOi7PZw7K7lS9EWxkm/jtr6DEa/Gzj4qpXusGV2TSNJM0C7KbcHXvBg75+hue2KEEL2TJEUIsXNGNpF+N6HcVrQK0Lh2AyXgbTrdvtdDWVjtS3H9h4FhoOxtBBqeIFJxfY+ntNqWonQ8uaqhcFB2M97KyPY29S7EGzCiG7ptnN0uUnY1gYb/QrktuP4qYqHzMCKfJVriJygDFavBcFZjRNehrRK0VQi4OIHBu//9UAo7f2yPX3L9VXhN6FyM6FpvZceNklXzc8IVP5TqHyF2kyQpYrfE4nEW/vVttm5r5oxTj+Urhw7o/U2i71MKbaZOItbK7NJmTXurItu71irD62OyA9rM93qMbK9uNvJROoZy7cTrPrSZB9rusQdKkplNtOzylJfcwEC0rwjltHnx2O2YNCfa9ed4E5lVAKdgAm72yN37PvTCDQwiVngm/m1/QrlxtBVC+/qhnCZ8La8RD527T68nxIFOkhSxyxzHYfY9j/PZxlosy+LNZR/yk2u/xcgj9s9QPpHZYqFvENj6O5TTDkYQJzCI5MA+7eBaJTt8r513ElbHcm8AHwon6whiBWfga/lvrPa/o1U2uDGcwOGg/Ds8T4+MAOGKHxDY9izoCDpgYkX+lZi83A+sCm9Da+gb3vHaxb/tj5iR1WjDR9AdDRwObphA/e+8+UFmHtHiS9G+ol4vbxd8zdsX0/xyZ/WQVt7KkRBit0iSInbZZxvrWL1+E9lB71m/Bhb+9S1JUg5SbtYwIv1vRcVqvVbx2k00WGvzhv51afjWjbKIlF+DEd3gnStQBcoimj2cqBvFbP8ngcY/YEZXk7X5LuL5pxDfnlTsCjOPaOml3m87VmCF/9mlu76N6+vsPOtregmrfSkoH8rRVLrPgXMCga1PentMlIlyWgjWP+rNINoFdt5J+NreTkyK9kqY43kTdj1+IQQgSYrYDYahujU5U2rfDPsTfZM289FZnY+BIv1+sOtvViZusIcE1wh4lTloML3Npr7Wt7HzxvU8EbkXTta/YWcfjRVeCRqc4BDsgs6EwYit77K3RmHSgbLrMBIbhb3XDZTd6I0M6KHnSjdmLpF+N+JrehlwiOefscNNxEKIHZMkReyyQ6sqOGroED74eC2GYRDw+7jkG33jp0Pbdnj8j6+wdsNmyooLmXnxOWRnda8Y2bK1iUd+/wKRaIwTRh3BeV8bc1B2n+1RouS4yllGYEt/YsUXdtunsu+uFSVlKrO2we0A9uCDXilipZcSt5sAjTYLU/qWaKsEomuTyYdLAMMsQpu5qfOBjCD++qdRbiPaX+k9LtpJqbU284kVX7D78QohkjI6SXniiSdYsGABK1eupKWlhQ8++IBDDum5LFDsf0opfjrrYt7435U0bGvh1BNGUF7SN346/OXvnufNZf/E7/Oxev1m6hqauHf2FSnHRKIxZt/7GK1tYQzDYPVnmzAMg8mnn7iDsx5cfE0v4Wt5jQAxzEgbwdqHCfefvUs9UXaXkz0Ks2m9lzhoB22Von3le3VOr6Knu1hoCsqux4xVgzKpN8ZRZhUSLf42wfpfo5xmtJENmFiRD7z7jW4Ap4NY4pGSEGL/yOgkpaOjgwkTJnDWWWfxox/9KN3hCMAwDCaOOSrdYey2j9dsxO/zflL2WRYbNtUTj9v4fJ3/BDZurqe+oZnsLG/Pjc9nsWzFJ5KkJJiRVYmNoLFE9U4Dym709qPsY3b+Kd6jl46VYGQTLZq6X5IhAAw/0fJrEtOfLZrXrKEM0L4iwv1v9WYCocja9JPOGAwLM7Z+/8QjhEjK6CTlqquuAmD58uVpjkT0dcGARVOLTj668ftMLMtMOSY/Lxt/l6TFcV1yc6QBV5IR8MqDk3yJFYb9w847GTvv5P12/m52tNfE8Cfa5luJLrd4j392t+pICLHbZNejOChcdcm5BAM+ItEohqG4fNrXu+01KS8JMflrJ+K6DtFYjJJQPjMvPidNEWeeaNF0tJHrldJqTazgDDBz0h3Wl0MpYqEp3rBBNwqGn1iR7DcRYn9TTU1NuvfD0mv58uWMHz9+l/akrF69+kuKSvQ1kWicrY0thApyyelh0+x2TS3tdESilBUVdFttOdgpbeOjCYcgjtrBdOIDmKHDWLRiU4Crdvzf0P5w+OE9d90V4kD2pT/uueOOO7jvvvt2eswLL7zAySfv2TLvgfQPefXq1QfU/XR1IN8bHNj3dyDfGxz49ydEX/KlJykzZ87kggt2vkw6YIC0WhdCCCEOdl96klJcXExxcfGXfVkhhBBC9DEZXd1TV1dHXV0da9asAWDVqlU0NzdTVVVFKNQ3+nMIIYQQYs9kdHXP448/zimnnMKVV14JwAUXXMApp5zCSy+9lObIhBBCCLG/ZfRKyi233MItt+zaQC8hhBBCHFgyeiVFCCGEEAcvSVKEEEIIkZEkSRFCCCFERuoTHWeFEEIIcfCRlRQhhBBCZCRJUoQQQgiRkSRJEUIIIURGkiRFCCGEEBlJkhQhhBBCZCRJUvqAa6+9lqOOOoqKigqGDBnC9OnTWbVqVbrD2icaGxu58cYbGT16NBUVFRx55JHccMMNbNu2Ld2h7RNPPPEEkyZNYuDAgRQWFvL555+nO6S9Mm/ePEaOHEl5eTmnnnoqS5YsSXdI+8Q777zDhRdeyNChQyksLGT+/PnpDkkIgSQpfcKoUaOYO3cuS5cuZeHChWitOe+884jH4+kOba/V1NRQU1PDz372M5YsWcKjjz7KkiVLuPzyy9Md2j7R0dHBhAkTmD17drpD2WvPPvsss2fP5gc/+AFvvvkmxx13HFOnTmXjxo3pDm2vtbe3M2zYMObMmUNWVla6wxFCJEiflD7oww8/ZOzYsbz33nscfvjh6Q5nn3v11VeZNm0an3/+Ofn5+ekOZ59Yvnw548eP54MPPuCQQw5Jdzh7ZOLEiRx55JE8/PDDydeOPvpoJk+ezG233ZbGyPatyspK7r33Xr71rW+lOxQhDnqyktLHtLe3M3/+fAYMGMDAgQPTHc5+0draSiAQIDs7O92hiIRYLMaKFSuYMGFCyusTJkxg6dKlaYpKCHGgkySlj5g3bx6VlZVUVlby2muvsWjRIgKBQLrD2ueampq48847mTFjBpaV0UO6DyoNDQ04jkNpaWnK66WlpWzZsiVNUQkhDnSSpKTJHXfcQWFh4U5/vfXWW8njp06dyptvvsmLL77IkCFDuPTSS+no6EjjHezc7t4fQFtbG9OnT6dfv378x3/8R5oi792e3JsQQojdJz+qpsnMmTO54IILdnrMgAEDkr8vKCigoKCAIUOGMHr0aAYNGsSiRYu48MIL93eoe2R376+trY2pU6cC8Ic//IFgMLhf49sbu3tvB4Li4mJM06S+vj7l9fr6esrKytIUlRDiQCdJSpoUFxdTXFy8R+/VWqO1JhaL7eOo9p3dub/W1lamTp2K1poFCxaQm5u7n6PbO3vzd9dX+f1+jjrqKN544w3OO++85OtvvPEG5557bhojE0IcyCRJyXDr1q1j0aJFjBs3juLiYjZv3swvfvEL/H4/Z5xxRrrD22utra1MmTKF1tZW5s+fT0dHR/IxVigUwu/3pznCvVNXV0ddXR1r1qwBYNWqVTQ3N1NVVUUoFEpzdLvn6quv5nvf+x7HHHMMxx9/PI8//ji1tbVcdtll6Q5tr7W1tbFu3ToAXNelurqalStXEgqFqKqqSnN0Qhy8pAQ5w1VXVzNr1ixWrFhBc3MzZWVljBkzhhtvvJGvfOUr6Q5vr7311lucc845PX7thRde4OSTT/6SI9q37r77bu65555urz/yyCN9ssR13rx5PPTQQ9TV1TF06FDuuusuTjrppHSHtdd29N/h9OnT+fWvf52GiIQQIEmKEEIIITKUVPcIIYQQIiNJkiKEEEKIjCRJihBCCCEykiQpQgghhMhIkqQIIYQQIiNJkiKEEEKIjCRJikir+fPnU1hYmGyk1ZVt2xQWFnL33XenIbJ9Z8SIEcycOXO33zdz5kyGDRvW63Hbv4eff/75noQnhBAZS5IUIfq4M844g8WLF1NRUZHuUIQQYp+StvhC9HElJSWUlJSkOwwhhNjnZCVF9Cnr16/nyiuvZMiQIZSVlTF27FheeOGFlGPuvvtuCgsL+fTTT5kyZQr9+/dn+PDhPPXUUwA888wzjB49msrKSiZNmsRnn32W8v54PM4dd9zBiBEjKC0tZcSIEdxxxx3E4/FusUydOpV+/fpx2GGHceutt/LEE0/s0qOX999/n8mTJ1NZWUn//v0599xzef/993s8dunSpYwfP57y8nJGjBjBo48+mvL1nh73jBgxgu9+97ssXLiQ4447jv79+zNu3DjefffdnX+DhRAig8hKisgIjuNg23a317qqrq7mtNNOo7S0lLvuuouSkhKeffZZZsyYwfz58znrrLNSjv/2t7/NjBkzuOaaa5g3bx7f//73WbduHW+//Ta33XYbtm0ze/ZsrrjiCl5//fXk+2bOnMmf//xnbrjhBk488USWLl3K/fffz/r165k3bx4AsViM8847j1gsxv33309JSQlPPvkkzz//fK/3+uGHH3L22Wfz1a9+lblz5wLw4IMPcvbZZ7N48WJGjBiRPLa1tZXvfOc7XHfddQwePJiFCxdy8803k5ub2+vsnyVLlrB69WpuvfVWAoEAd955J9OmTWPlypUUFhb2GqcQQqSbJCkiI4wePbrXY+bMmYPWmhdffJGioiIAJk6cyKZNm7jrrru6JSnXXHMN06dPB2DUqFG8/PLL/Pa3v+WDDz4gPz8fgNraWmbPns2GDRsYOHAgH330EQsWLODmm2/mlltuAWDChAlYlsWdd97JrFmzGD58OE8//TTr16/n9ddf55hjjgHg9NNPZ+zYsVRXV+/0Pu699178fj/PP/98MlkYP348I0eO5J577kmu+ICXpDz44IN885vfBOC0006jpqaGu+++m4suugil1A6v09rayttvv528Rnl5OePHj2fx4sVMnTq11++3EEKkmzzuERnhqaee4o033kj59dprr6Uc8/rrr3P66aeTn5+PbdvJXxMnTuTDDz+kpaV0TEkeAAADrUlEQVQl5fjTTz89+fvCwkJKS0sZPXp0MkEBkpOkN23aBHirDwDTpk1LOdcFF1wAwDvvvAPAe++9x4ABA5IJCoBSinPPPbfXe12yZAlf//rXU1Yz8vPzOfPMM5Pn3840zW7nnDJlCtXV1WzevHmn1znuuONSrrG9Uqi3JEoIITKFrKSIjDBs2DAGDx6c8toXH//U19fzzDPP8Mwzz/R4jm3btqUkIF98pOHz+Xp8DSAajQLQ2NgIeKsOXW3/8/av19XVUVpa2i2GsrKyHmPrqrGxsdv5t1+jqakp5bXCwsJkjF+8Rk1NDZWVlTu8TigUSvlzIBAAIBKJ9BqjEEJkAklSRJ9RVFTEiSeeyKxZs3r8er9+/fb6Gts/2Lds2cKhhx6afL2uri7l6+Xl5XzyySfd3r9ly5Zdusb283VVV1fXLYlqamoiHo+nJCrbr7Ev7lcIITKZPO4RfcbEiRP517/+xRFHHMGoUaO6/dq+UrA3xowZA8DChQtTXv/Tn/4EwNixYwFvD011dXVKRY7WmkWLFvV6jZNOOonFixfT2tqafK21tZWXX345ef7tHMfpds5nn32WAQMG0L9//924MyGE6HtkJUX0GT/60Y+YOHEiZ511FldeeSUDBw6kqamJjz/+mPXr1/PII4/s9TWGDRvG+eefz5w5c7Btm+OPP55ly5bx85//nPPPP58jjzwSgIsuuogHH3yQSy65hB//+MfJ6p7m5mYADGPH+f+NN97IK6+8wuTJk7nuuutQSvHQQw8RDoe56aabUo7Ny8vjtttuo6GhgSFDhrBgwQL+9re/MXfu3J1umhVCiAOBJCmiz6iqquKNN95gzpw53H777WzdupWioiKGDh2arOLZF+bOncugQYN46qmnuO+++6ioqGDWrFncfPPNyWP8fj9//vOfuemmm7jhhhvIycnh/PPP59hjj+WnP/1pyt6YLxo+fDh/+ctfuP3227nqqqvQWnPsscfy4osvppQfg5ekPPbYY8yePZuPPvqI0tJS5syZw0UXXbTP7lcIITKVampq0ukOQogDxbRp01i1ahUrVqxIdyhCCNHnyUqKEHvoV7/6Fbm5uQwePJi2tjaee+45XnnlFR544IF0hyaEEAcESVKE2EOBQIC5c+dSXV2N4zgcdthhPPzww8yYMSPdoQkhxAFBHvcIIYQQIiNJCbIQQgghMpIkKUIIIYTISJKkCCGEECIjSZIihBBCiIwkSYoQQgghMpIkKUIIIYTISP8HXza2bpQ05oYAAAAASUVORK5CYII=\n", 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" ] }, "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": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "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": 12, "metadata": { "tags": [ "remove_input" ] }, "outputs": [], "source": [ "\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": 13, "metadata": { "tags": [ "remove_input" ] }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "\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": 14, "metadata": { "tags": [ "remove_input" ] }, "outputs": [], "source": [ "\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": 15, "metadata": { "tags": [ "remove_input" ] }, "outputs": [], "source": [ "\n", "c = classify_grid(ckd.drop('White Blood Cell Count', 'Color'), test_grid, 1)" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "tags": [ "remove_input" ] }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "\n", "test_grid = test_grid.with_column('Class', c).join('Class', color_table)\n", "test_grid.scatter('Hemoglobin', 'Glucose', group='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": 17, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ckd.scatter('White Blood Cell Count', 'Glucose', group='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 blue 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." ] } ], "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": "3.7.3" } }, "nbformat": 4, "nbformat_minor": 1 }