From 6a72b5586682030bc8fca79a0a1388be3da40e12 Mon Sep 17 00:00:00 2001 From: Nishant Shukla Date: Mon, 27 Feb 2017 18:02:21 -0800 Subject: [PATCH] updated chapter 4 code to TensorFlow v1.0 --- ...t01_linear_regression_classification.ipynb | 172 ++++++++++++------ ch04_classification/Concept02_logistic.ipynb | 97 ++++++---- .../Concept03_logistic2d.ipynb | 99 ++++++---- ch04_classification/Concept04_softmax.ipynb | 154 ++++++++++------ 4 files changed, 341 insertions(+), 181 deletions(-) diff --git a/ch04_classification/Concept01_linear_regression_classification.ipynb b/ch04_classification/Concept01_linear_regression_classification.ipynb index 66772ae..fee4711 100644 --- a/ch04_classification/Concept01_linear_regression_classification.ipynb +++ b/ch04_classification/Concept01_linear_regression_classification.ipynb @@ -2,30 +2,41 @@ "cells": [ { "cell_type": "markdown", - "metadata": {}, + "metadata": { + "deletable": true, + "editable": true + }, "source": [ "# Ch `04`: Concept `01`" ] }, { "cell_type": "markdown", - "metadata": {}, + "metadata": { + "deletable": true, + "editable": true + }, "source": [ "## Linear regression for classification (just for demonstrative purposes)" ] }, { "cell_type": "markdown", - "metadata": {}, + "metadata": { + "deletable": true, + "editable": true + }, "source": [ "Import the usual libraries:" ] }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 1, "metadata": { - "collapsed": true + "collapsed": true, + "deletable": true, + "editable": true }, "outputs": [], "source": [ @@ -37,33 +48,38 @@ }, { "cell_type": "markdown", - "metadata": {}, + "metadata": { + "deletable": true, + "editable": true + }, "source": [ "Let's say we have numbers that we want to classify. They'll just be 1-dimensional values. Numbers close to 2 will be given the label `[0]`, and numbers close to 5 will be given the label `[1]`, as designed here:" ] }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 2, "metadata": { - "collapsed": false + "collapsed": false, + "deletable": true, + "editable": true }, "outputs": [ { "data": { "text/plain": [ - "" + "" ] }, - "execution_count": 6, + "execution_count": 2, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -81,16 +97,21 @@ }, { "cell_type": "markdown", - "metadata": {}, + "metadata": { + "deletable": true, + "editable": true + }, "source": [ "Define the hyper-parameters, placeholders, and variables:" ] }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 3, "metadata": { - "collapsed": true + "collapsed": true, + "deletable": true, + "editable": true }, "outputs": [], "source": [ @@ -105,36 +126,46 @@ }, { "cell_type": "markdown", - "metadata": {}, + "metadata": { + "deletable": true, + "editable": true + }, "source": [ "Define the model:" ] }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 4, "metadata": { - "collapsed": true + "collapsed": true, + "deletable": true, + "editable": true }, "outputs": [], "source": [ "def model(X, w):\n", - " return tf.add(tf.mul(w[1], tf.pow(X, 1)),\n", - " tf.mul(w[0], tf.pow(X, 0)))" + " return tf.add(tf.multiply(w[1], tf.pow(X, 1)),\n", + " tf.multiply(w[0], tf.pow(X, 0)))" ] }, { "cell_type": "markdown", - "metadata": {}, + "metadata": { + "deletable": true, + "editable": true + }, "source": [ "Given a model, define the cost function:" ] }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 5, "metadata": { - "collapsed": true + "collapsed": true, + "deletable": true, + "editable": true }, "outputs": [], "source": [ @@ -144,16 +175,21 @@ }, { "cell_type": "markdown", - "metadata": {}, + "metadata": { + "deletable": true, + "editable": true + }, "source": [ "Set up the training op, and also introduce a couple ops to calculate some metrics, such as accuracy:" ] }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 6, "metadata": { - "collapsed": true + "collapsed": true, + "deletable": true, + "editable": true }, "outputs": [], "source": [ @@ -164,52 +200,62 @@ }, { "cell_type": "markdown", - "metadata": {}, + "metadata": { + "deletable": true, + "editable": true + }, "source": [ "Prepare the session:" ] }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 7, "metadata": { - "collapsed": true + "collapsed": false, + "deletable": true, + "editable": true }, "outputs": [], "source": [ "sess = tf.Session()\n", - "init = tf.initialize_all_variables()\n", + "init = tf.global_variables_initializer()\n", "sess.run(init)" ] }, { "cell_type": "markdown", - "metadata": {}, + "metadata": { + "deletable": true, + "editable": true + }, "source": [ "Run the training op multiple times on the input data:" ] }, { "cell_type": "code", - "execution_count": 16, + "execution_count": 8, "metadata": { - "collapsed": false + "collapsed": false, + "deletable": true, + "editable": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "(0, 1.088697)\n", - "(100, 1.0886965)\n", - "(200, 1.0886962)\n", - "(300, 1.0886965)\n", - "(400, 1.0886965)\n", - "(500, 1.0886962)\n", - "(600, 1.0886962)\n", - "(700, 1.0886962)\n", - "(800, 1.0886962)\n", - "(900, 1.0886962)\n" + "0 8.63226\n", + "100 3.23953\n", + "200 2.14632\n", + "300 1.90881\n", + "400 1.8572\n", + "500 1.84599\n", + "600 1.84356\n", + "700 1.84303\n", + "800 1.84291\n", + "900 1.84289\n" ] } ], @@ -223,24 +269,29 @@ }, { "cell_type": "markdown", - "metadata": {}, + "metadata": { + "deletable": true, + "editable": true + }, "source": [ "Show some final metrics/results:" ] }, { "cell_type": "code", - "execution_count": 17, + "execution_count": 9, "metadata": { - "collapsed": false + "collapsed": false, + "deletable": true, + "editable": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "('learned parameters', array([ 1.35532689, -0.24055129], dtype=float32))\n", - "('accuracy', 1.0)\n" + "learned parameters [ 1.28786051 -0.25033307]\n", + "accuracy 0.95\n" ] } ], @@ -255,23 +306,28 @@ }, { "cell_type": "markdown", - "metadata": {}, + "metadata": { + "deletable": true, + "editable": true + }, "source": [ "Plot the learned function" ] }, { "cell_type": "code", - "execution_count": 20, + "execution_count": 10, "metadata": { - "collapsed": false + "collapsed": false, + "deletable": true, + "editable": true }, "outputs": [ { "data": { - "image/png": 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A+QvYJgEXAIOBIcBKwBEVrFGSqt4ii8BJJ8FNN+V7gIwYAfffX3RV0lwVCxQR\n8VlgDPCNlNLklNKDwCHAbhExZAGbv51Sei2l9Grp8Val6pSkvmSbbXILZPXVYbPN4OSTbYGoOlTy\nDMUGwBsppcdaLbuDfAZi1AK23T0iXouIP0fEiRGxRMWqlKQ+Zk4L5Igj4Kij8lTT114ruirVu0oG\niiHAq60XpJRmAzNK73XkcmAPYDPgROD/AZdWpkRJ6psGDIATT4RbboHJk/O9QO67r+iqVM8GdHeD\niDgJOLKTVRJ53MRCSSld2OrlkxHxMnBHRKyeUnquo+0mTJjAoEGD5lk2btw4xo0bt7ClSFLVGzMm\nt0DGj4fNN4cTTsgDN/s5h09tNDU10dTUNM+ymTNn9tj+I3XzLjQRsTyw/AJWe5Z8ZuG0lNJH60ZE\nf+Bd4Csppeu7+HlLAm8BY1JKt7fzfgPQ3NzcTENDQxe/hSTVlg8+gB/9CH78Y/jf/4VLL4WPf7zo\nqlTtWlpaaGxsBGhMKbWUs69un6FIKU0HFnjNtoh4CFgmIka2GkexJRDAI934yJHksx4vdbdWSaoX\nAwbksxOjR8Puu+dZIE1N+bXUGyp2Uiyl9DfgVuAXEbFuRGwEnAU0pZReBoiIlSPiqYhYp/T60xHx\ng4hoiIhVI2J74GLgnpTSXypVqyTViq23zi2QYcNyC+T//s9ZIOodle6yjQf+Rp7d8XvgXmC/Vu8v\nAnwGWLL0+n1gK3IQeQo4FbgG2L7CdUpSzVh5ZbjjDvj+9+GHP4QvfhFefXXB20nl6HbLoztSSv8m\nz9jo6P2/A/1bvf4neXaHJKkMAwbA8cfP2wK54op87QqpEhwHLEk1bKutcgtkzTVhyy3zOIvZs4uu\nSrXIQCFJNW6llXIL5Ac/gGOPzS2QV14puirVGgOFJNWB/v3ztNLbb4c//zm3QO66q+iqVEsMFJJU\nR7bcMrdA1l47t0OOP94WiHqGgUKS6syQIXDbbbn9cdxx+WqbtkBULgOFJNWh/v3zlNI//AGefBKG\nD4c77yy6KvVlBgpJqmObb55bIJ//fG6BHHecLRAtHAOFJNW5wYPzXUt/9KM8rXTrreElb3agbjJQ\nSJLo3x+OOSa3QJ56Ks8CueOOoqtSX2KgkCR9ZLPNcgtk+PB819Jjj7UFoq4xUEiS5jGnBXLCCfnm\nYlttZQtEC2agkCTNp1+/fHOxO++Ep5/OLZDbby+6KlUzA4UkqUObbppbICNG5OtVHHMMfPBB0VWp\nGhkoJElFRUt9AAANdElEQVSdWnFFuPnm3P448cTcAnnxxaKrUrUxUEiSFqhfPzj66Hz/j2eeyWcs\nbrut6KpUTQwUkqQuGz06t0AaG/NdS7//fVsgygwUkqRu+fjH4cYbc/vjJz+BLbaAf/2r6KpUNAOF\nJKnb+vWD730P7r4bnn02t0BuvrnoqlQkA4UkaaFtvHFugay3HowdC0cdZQukXhkoJEllWWEFuOGG\n3P449dR8tc1//KPoqtTbDBSSpLL16wdHHAH33AN//zuMHAk33VR0VepNBgpJUo/ZaCN47DEYNQq+\n9KU8zuK//y26KvUGA4UkqUfNaYGccgqcdpotkHphoJAk9bh+/eC734V7781hYsSIPNVUtctAIUmq\nmA03zC2QDTaAbbfN4yxsgdQmA4UkqaKWXx4mTcozQCZOzDcce+GFoqtSTzNQSJIqrl8/+M534L77\n8lU1R47M4yxUOwwUkqRes/76uQWy0Uaw/fY5ZNgCqQ0GCklSr1puObj+ejj9dDjjjHzDsb//veiq\nVC4DhSSp10XAhAlw//3w0ku5BTJpUtFVqRwGCklSYUaNyi2Q0aNhhx3g8MPh/feLrkoLw0AhSSrU\nssvCddflGSBnnQWbbALPP190VeouA4UkqXARcNhhuQXy6qu5BXL99UVXpe4wUEiSqsZ660FLS75c\n94475nEWtkD6BgOFJKmqLLss/Pa3eQbIOefAxhvDc88VXZUWxEAhSao6EfCtb8EDD8Drr+cWyHXX\nFV2VOmOgkCRVrXXXzS2QrbaCnXbK4yxsgVQnA4Ukqaotswxccw2cfTacd16+yuazzxZdldoyUEiS\nql4EHHQQPPggzJgBDQ15nIWqh4FCktRnNDbmFsjWW8POO8Mhh8B77xVdlaCCgSIijo6IByJiVkTM\n6MZ2x0fEixHxdkTcHhFDK1WjJKnvGTQIrr46t0AuuAA23BCmTSu6KlXyDMUiwNXAeV3dICKOBA4G\n9gXWA2YBt0bEohWpUJLUJ7VugcycmVsgv/lN0VXVt4oFipTSj1JKZwB/7sZmhwInpJR+n1L6C7An\nsDKwYyVqlCT1bY2N0NwMY8bALrvAwQfbAilK1YyhiIjVgSHAH+YsSym9CTwCbFBUXZKk6jZoEFx1\nFZx7LvziF7ZAilI1gYIcJhLwSpvlr5TekySpXRFwwAHw8MPw5pu5BXLNNUVXVV+6FSgi4qSI+LCT\nx+yI+EylipUkqTMjR+YWyDbbwK675nEW775bdFX1YUA31z8NuGgB6yzs5UZeBgIYzLxnKQYDjy1o\n4wkTJjBo0KB5lo0bN45x48YtZDmSpL5o6aWhqQk23xwOPRQeeijPChla53MGm5qaaGpqmmfZzJkz\ne2z/kVLqsZ21+wERewETU0rLdWHdF4FTU0oTS6+XJoeLPVNK7Z68iogGoLm5uZmGhoYerFyS1Nc9\n/ng+U/Hyy3l8xVe/WnRF1aWlpYXGxkaAxpRSSzn7quR1KFaJiOHAqkD/iBheegxstc7fImKHVpv9\nDPhBRGwXEZ8HLgH+CVxfqTolSbVrxIjcAtl2W9htNzjwQFsgldLdlkd3HE+e9jnHnOSzOXBv6fkw\n4KM+RUrplIhYEjgfWAa4D9gmpeStYCRJC2WppeDyy3ML5JBD5rZAhg0rurLaUsnrUHw9pdS/nce9\nrdbpn1K6pM12x6WUVk4pLZlSGpNSmlqpGiVJ9SEC9tkHHnkE3n47zwL53e+Krqq2VNO0UUmSKmr4\ncJg8Gb78ZVhhhaKrqS2VbHlIklR1lloKLrlkweupezxDIUmSymagkCRJZTNQSJKkshkoJElS2QwU\nkiSpbAYKSZJUNgOFJEkqm4FCkiSVzUAhSZLKZqCQJEllM1BIkqSyGSgkSVLZDBSSJKlsBgpJklQ2\nA4UkSSqbgUKSJJXNQCFJkspmoJAkSWUzUEiSpLIZKCRJUtkMFJIkqWwGCkmSVDYDhSRJKpuBQpIk\nlc1AIUmSymagkCRJZTNQSJKkshkoJElS2QwUkiSpbAYKSZJUNgOFJEkqm4FCkiSVzUAhSZLKZqCQ\nJEllM1BIkqSyGSgkSVLZDBSSJKlsBgpJklQ2A0WNaWpqKrqEquBxyDwOc3ksMo/DXB6LnlWxQBER\nR0fEAxExKyJmdHGbiyLiwzaPmypVYy3yf5DM45B5HObyWGQeh7k8Fj1rQAX3vQhwNfAQsHc3trsZ\n+BoQpdfv9WxZkiSpp1UsUKSUfgQQEXt1c9P3UkqvVaAkSZJUIdU4hmKziHglIv4WEedGxHJFFyRJ\nkjpXyZbHwrgZuBZ4DlgDOAm4KSI2SCmlDrZZHOCpp57qnQqr3MyZM2lpaSm6jMJ5HDKPw1wei8zj\nMJfHYp7fnYuXu6/o+Pd0OytHnAQc2ckqCVgrpTSl1TZ7ARNTSt0+0xARqwPTgC1TSnd1sM544PLu\n7luSJH1k95TSFeXsoLtnKE4DLlrAOs8uZC3zSSk9FxGvA0OBdgMFcCuwO/A88G5PfbYkSXVgcWA1\n8u/SsnQrUKSUpgPTy/3QroqITwLLAy8toKayUpUkSXXswZ7YSSWvQ7FKRAwHVgX6R8Tw0mNgq3X+\nFhE7lJ4PjIhTImJURKwaEVsCvwOm0APJSZIkVU4lB2UeD+zZ6vWckS+bA/eWng8DBpWezwa+UNpm\nGeBFcpD4YUrpvxWsU5IklalbgzIlSZLaU43XoZAkSX2MgUKSJJWtZgJFaSDnhRHxbES8HRHPRMRx\nEbFI0bX1hog4KCKei4h3IuLhiFi36Jp6W0QcFRGPRsSbpautXhcRnym6rqJFxPdKN9o7vehaeltE\nrBwRl0bE66WfC09EREPRdfW2iOgXESe0+vk4NSJ+UHRdvSEiNomISRHxr9L/B9u3s87xEfFi6djc\nHhFDi6i1kjo7DhExICJ+EhF/ioi3SutcHBErdeczaiZQAJ8l31BsH2BtYAKwP/DjIovqDRHxVeCn\nwLHASOAJ4NaIWKHQwnrfJsBZwChgK/IN6m6LiCUKrapApWC5L/nfRF2JiGWAB8g3GBwDrAUcDrxR\nZF0F+R6wH3Ag+WflEcAREXFwoVX1joHA4+TvPt+gwYg4EjiY/P/JesAs8s/PRXuzyF7Q2XFYEhgB\n/Ij8O+TLwJrA9d35gJoelBkR3wH2TynVXNpsLSIeBh5JKR1aeh3AP4AzU0qnFFpcgUqB6lVgdErp\n/qLr6W0R8TGgGTgAOAZ4LKX07WKr6j0RcTKwQUpp06JrKVpE3AC8nFLap9Wy3wBvp5T27HjL2hIR\nHwI7ppQmtVr2InBqSmli6fXSwCvAXimlq4uptLLaOw7trLMO8Aiwakrpn13Zby2doWjPMsCMoouo\npFJLpxH4w5xlpfue3AFsUFRdVWIZchKv6X8DnTgHuCGldGfRhRRkO2ByRFxdaoG1RMQ3iy6qIA8C\nW0bEMIDSNYI2Am4qtKqClW7vMIR5f36+Sf5F6s/P/PPz313doNpuDtZjSj2wg4Fa/4tsBaA/OVG3\n9gr5lFVdKp2l+Rlwf0rpr0XX09siYjfyKcx1iq6lQJ8mn535Kbn1uR5wZkS8l1K6tNDKet/JwNLA\n3yJiNvmPye+nlK4stqzCDSH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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -288,21 +344,21 @@ ], "metadata": { "kernelspec": { - "display_name": "Python 2", + "display_name": "Python 3", "language": "python", - "name": "python2" + "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", - "version": 2 + "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", - "pygments_lexer": "ipython2", - "version": "2.7.12" + "pygments_lexer": "ipython3", + "version": "3.5.2" } }, "nbformat": 4, diff --git a/ch04_classification/Concept02_logistic.ipynb b/ch04_classification/Concept02_logistic.ipynb index c8fb75e..60517d2 100644 --- a/ch04_classification/Concept02_logistic.ipynb +++ b/ch04_classification/Concept02_logistic.ipynb @@ -2,30 +2,41 @@ "cells": [ { "cell_type": "markdown", - "metadata": {}, + "metadata": { + "deletable": true, + "editable": true + }, "source": [ "# Ch `04`: Concept `02`" ] }, { "cell_type": "markdown", - "metadata": {}, + "metadata": { + "deletable": true, + "editable": true + }, "source": [ "## Logistic regression" ] }, { "cell_type": "markdown", - "metadata": {}, + "metadata": { + "deletable": true, + "editable": true + }, "source": [ "Import the usual libraries, and set up the usual hyper-parameters:" ] }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 1, "metadata": { - "collapsed": true + "collapsed": true, + "deletable": true, + "editable": true }, "outputs": [], "source": [ @@ -40,33 +51,38 @@ }, { "cell_type": "markdown", - "metadata": {}, + "metadata": { + "deletable": true, + "editable": true + }, "source": [ "Set up some data to work with:" ] }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 2, "metadata": { - "collapsed": false + "collapsed": false, + "deletable": true, + "editable": true }, "outputs": [ { "data": { "text/plain": [ - "" + "" ] }, - "execution_count": 7, + "execution_count": 2, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -84,16 +100,21 @@ }, { "cell_type": "markdown", - "metadata": {}, + "metadata": { + "deletable": true, + "editable": true + }, "source": [ "Define the placeholders, variables, model, cost function, and training op:" ] }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 3, "metadata": { - "collapsed": true + "collapsed": true, + "deletable": true, + "editable": true }, "outputs": [], "source": [ @@ -108,32 +129,37 @@ }, { "cell_type": "markdown", - "metadata": {}, + "metadata": { + "deletable": true, + "editable": true + }, "source": [ "Train the logistic model on the data:" ] }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 4, "metadata": { - "collapsed": false + "collapsed": false, + "deletable": true, + "editable": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "(0, 0.69314593)\n", - "(100, 0.14274794)\n", - "(200, 0.10557576)\n", - "(300, 0.091050699)\n" + "0 0.693147\n", + "100 0.144746\n", + "200 0.107301\n", + "300 0.0926615\n" ] } ], "source": [ "with tf.Session() as sess:\n", - " sess.run(tf.initialize_all_variables())\n", + " sess.run(tf.global_variables_initializer())\n", " prev_err = 0\n", " for epoch in range(training_epochs):\n", " err, _ = sess.run([cost, train_op], {X: xs, Y: ys})\n", @@ -147,23 +173,28 @@ }, { "cell_type": "markdown", - "metadata": {}, + "metadata": { + "deletable": true, + "editable": true + }, "source": [ "Now let's see how well our logistic function matched the training data points:" ] }, { "cell_type": "code", - "execution_count": 17, + "execution_count": 5, "metadata": { - "collapsed": false + "collapsed": false, + "deletable": true, + "editable": true }, "outputs": [ { "data": { - "image/png": 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mNg24GrgEOAhYDSwys3TDvSYBtwNHAYcCrwAPmdleUccqUsjeew+uvx6+/nUo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\nERGRwqCEQkRERDKmhEJEREQ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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -182,21 +213,21 @@ ], "metadata": { "kernelspec": { - "display_name": "Python 2", + "display_name": "Python 3", "language": "python", - "name": "python2" + "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", - "version": 2 + "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", - "pygments_lexer": "ipython2", - "version": "2.7.12" + "pygments_lexer": "ipython3", + "version": "3.5.2" } }, "nbformat": 4, diff --git a/ch04_classification/Concept03_logistic2d.ipynb b/ch04_classification/Concept03_logistic2d.ipynb index fdb3538..4929c7d 100644 --- a/ch04_classification/Concept03_logistic2d.ipynb +++ b/ch04_classification/Concept03_logistic2d.ipynb @@ -2,21 +2,30 @@ "cells": [ { "cell_type": "markdown", - "metadata": {}, + "metadata": { + "deletable": true, + "editable": true + }, "source": [ "# Ch `04`: Concept `03`" ] }, { "cell_type": "markdown", - "metadata": {}, + "metadata": { + "deletable": true, + "editable": true + }, "source": [ "## Logistic regression in higher dimensions" ] }, { "cell_type": "markdown", - "metadata": {}, + "metadata": { + "deletable": true, + "editable": true + }, "source": [ "Set up the imports and hyper-parameters" ] @@ -25,10 +34,13 @@ "cell_type": "code", "execution_count": 1, "metadata": { - "collapsed": true + "collapsed": true, + "deletable": true, + "editable": true }, "outputs": [], "source": [ + "%matplotlib inline\n", "import numpy as np\n", "import tensorflow as tf\n", "import matplotlib.pyplot as plt\n", @@ -39,7 +51,10 @@ }, { "cell_type": "markdown", - "metadata": {}, + "metadata": { + "deletable": true, + "editable": true + }, "source": [ "Define positive and negative to classify 2D data points:" ] @@ -48,7 +63,9 @@ "cell_type": "code", "execution_count": 2, "metadata": { - "collapsed": true + "collapsed": true, + "deletable": true, + "editable": true }, "outputs": [], "source": [ @@ -63,7 +80,10 @@ }, { "cell_type": "markdown", - "metadata": {}, + "metadata": { + "deletable": true, + "editable": true + }, "source": [ "Define placeholders, variables, model, and the training op:" ] @@ -72,7 +92,9 @@ "cell_type": "code", "execution_count": 3, "metadata": { - "collapsed": true + "collapsed": true, + "deletable": true, + "editable": true }, "outputs": [], "source": [ @@ -88,7 +110,10 @@ }, { "cell_type": "markdown", - "metadata": {}, + "metadata": { + "deletable": true, + "editable": true + }, "source": [ "Train the model on the data in a session:" ] @@ -97,27 +122,29 @@ "cell_type": "code", "execution_count": 4, "metadata": { - "collapsed": false + "collapsed": false, + "deletable": true, + "editable": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "(0, 0.69314593)\n", - "(100, 0.3690252)\n", - "(200, 0.269153)\n", - "(300, 0.21213232)\n", - "(400, 0.17588367)\n", - "(500, 0.15097152)\n", - "(600, 0.13283169)\n", - "(700, 0.11903444)\n" + "0 0.693147\n", + "100 0.375964\n", + "200 0.276061\n", + "300 0.218569\n", + "400 0.181875\n", + "500 0.156599\n", + "600 0.13817\n", + "700 0.124143\n" ] } ], "source": [ "with tf.Session() as sess:\n", - " sess.run(tf.initialize_all_variables())\n", + " sess.run(tf.global_variables_initializer())\n", " prev_err = 0\n", " for epoch in range(training_epochs):\n", " err, _ = sess.run([cost, train_op], {X1: x1s, X2: x2s, Y: ys})\n", @@ -132,7 +159,10 @@ }, { "cell_type": "markdown", - "metadata": {}, + "metadata": { + "deletable": true, + "editable": true + }, "source": [ "Here's one hacky, but simple, way to figure out the decision boundary of the classifier: " ] @@ -141,7 +171,9 @@ "cell_type": "code", "execution_count": 5, "metadata": { - "collapsed": false + "collapsed": false, + "deletable": true, + "editable": true }, "outputs": [], "source": [ @@ -150,14 +182,17 @@ " for x1_test in np.linspace(0, 10, 20):\n", " for x2_test in np.linspace(0, 10, 20):\n", " z = sess.run(tf.sigmoid(-x2_test*w_val[2] - x1_test*w_val[1] - w_val[0]))\n", - " if abs(z - 0.5) < 0.01:\n", + " if abs(z - 0.5) < 0.05:\n", " x1_boundary.append(x1_test)\n", " x2_boundary.append(x2_test)" ] }, { "cell_type": "markdown", - "metadata": {}, + "metadata": { + "deletable": true, + "editable": true + }, "source": [ "Ok, enough code. Let's see some a pretty plot:" ] @@ -166,14 +201,16 @@ "cell_type": "code", "execution_count": 6, "metadata": { - "collapsed": false + "collapsed": false, + "deletable": true, + "editable": true }, "outputs": [ { "data": { - "image/png": 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F7ce38/KXL2s7Lu5filWx8nT801UOPevBRm9Hb+M8dze7Gw+rluAX4h3CN3/8\nxuis9PyARr6NqmxvZmEmaRfTTO3KLsqmTC3vrFVVZU3SGmMjpVZBrcgqzDK+Pm+AVjhp2YhldG7U\n2Xi9X9N++Hv6a0sEB5QvEWzs1xibrTw4QAU3m5vx2fTAacXBFUzZoq0kcO3kqxqGd+10MwsysXva\nKXIWEXcojtziXDY/urnKTZpc3+da9bG2HfCVbPBU22JIVa2y6Pl+T5mOuI4kOBBCXJHq5pFL1dIa\ncxT0xLw9E/eYdj1MnpTMscnHiLBHmJ5Emwc011YnWN0Z3W40cd/HGec6mHaQ7EJtOP98/nneSXyH\nU9mnAPhTtz/ROqi1sfywqh0gbVZbpfa50lch6KsJ2ga3Nb42otUIo0PVyxuPbD0SgGX7lxnXcV15\noOdl+Lj7AFpdg4pP7KlZqcz7eh6+Hr6VOvnqnsr1znbNqDV42jzJKMgAIO6BOH44/0O1Hbb+vgV7\nFtSYD1BVIDhrxyymbJlyWRs81bYYUlWrLCqWnxZ1S4IDIcQVqe2wcnWrDQauHEijBtpT/fm88zjL\nnFUOPesdxaCVg/By8zI6VtA2FXpr6FuAVqNg+YHlxtx/s4BmJD+VTIfQDoxdO5YQ7xAOTzpMwwYN\njRUBCeMTjA79ia5PXPIzf5z8sfH3h9s/TLvgdjQPaE6xs5hI/0j+0fsfNA9ozpZxW7BZbCw/sJzQ\nBqE80OYBEn9OZNG3i+jZpCez+80GYPLtkysNr7cIaMH06OmE+4YbnfwT3Z/gTsed1bZL73R93H2M\nQAbgqfinmLp1KqmZqTWO8mx/bHuNe2zM2jHLVNnREeNg3tfz2Pzo5sva4OlyklurWmWhLwkVdU+C\nAyFErVXs6P09/Y0Ni/TOvFIwcHY/T8c/TZuFbZiwfgJDVg1BVVWCvILYeHQjAKtHr65ysyGoHIR4\n2byY2HUiAP2b9+dk1km6N+pOpF3rcMJ8wrBi5W+b/0bP93rS8s2WxB2Ko/XC1rz4+YscPn8YgBei\nX+Crk18Z+QMXii7U6h5YFStrRq3hbN5Z5v1nHseyjtF7WW9C/l8IvZb24ljWMU7knDCmLFIyU4hP\niWf2jtlM2TqF1MxUY5VDVGAU2YXZRhEo0IKnmV/O5HT2aeOay/Yvq/GJXO90+zbty5rRa4zX9Q4b\nhRpHeXo5elWbD6CPZDRwb0CRs4jYQ7HkFucSPy6e6MjoShs8XStVrbKQvRmuHwkOhBC1VtVUwvzd\n2vI/fVdJhtAPAAAgAElEQVRGfWRAP2bwqsE4y5yczz/P8gPLSc9Px2qxMqvfLABGth5Jh5DyGgpV\nDT077A6jg/gp9yfe++49AGJ2xzBn1xySMpIY1U4bvr9YfNFIItx9ZjcNfRryzR+/IcIewYqDK4xE\nxr9+9lemJ0wn4XgCdnc7245vA8CiaL8WbUrVUw7ebt6s+n4VU7ZOYfHexfRx9EFVVdLz01HRgp6E\nYwl4u3kDUFRaRIGzgA6hHUialETsoViW7V+Gt5s3SxKXEBETYdq8SZ/usHtqORP+nv4kjE+o9VB6\nh5AOxmjIfS3vw9/Tn6jAKPZM3GOMZlQ1ylNdPoAenDnsDmMkY8MjG4iOjK7xfdfClWzyJK4NCQ6E\nELVW1VTC8pHLTbsyDo0dikWxEOQVxPIDy439AvQ6Bvr+B/p+Ai/2fdE0zKw/BTvsDtMIRKCXVqK4\nRYC5k+zUsBNJk5KMYfdg72BTEuEHIz6gfWh7Y4RjXv952Cw2zuadBcCChezibDILMrFixcvqBcCE\nLhPo2qircZ0AzwAA8kvyWZe8DqvFioLCjlM7jK+9cs8reLt5s/zAchr7NmZg84HG+xcMWsATG59g\n1lezsFlseFg92HBkA3nFeax+aDUOu8O4p0mTkpg/SAu6OoV0Mp7If8r5qVJBJ1eqqhKfEs8zPbX6\nDW/85w0iYiKYsH4CAz4cwC+5vwBacqS+OyRo0wybjm6id0TvaleL6E/xgKkKZF1uqnQlmzyJa0Pq\nHAhxi1NVlXcS32Fsx7H4efgZa+Of6P5EtU+DFWsZVLWG/XzeedMxFesYnMg6waPrHmXx0MV0CO1g\nui7ArB2zmPf1POyedu6KvItPj3xKgbOAtwe/zZ8/+7PRlmm9p/Fc9HNkFWTx0hcv0cC9AYv2LsLd\n6k5xaTFDooaw6/QuipxFFJYW8tWEr1j23TI+OPABMQNjmLNzjpF46MrX3Zfbwm/j8xOfAzC+03h2\nndrFhcILZBZm4ufuR3RkNJ8d/cx4j14vAWD9w+tRVZX7P7of0Eozu+4WqXsx+kXC/cLpEdaD2967\nzbhfes0D0EYzmvk34/iF45SpZSSMT+DuZndX+h7e3uR2opdG4+3mTWlZqbGhFIDNYsOqWCkqLSLa\nEc3eM3sJ8A6gb2RfNh3dRJGzCIvFYqrL4Fq3QG/PyDYjmT9ovnTU9dC1rHNQc6quEOI3T58qmLVj\nlqlTGNB8wCWz4ytug9zj3R7GnHV6frrpmIp7NLjub9C/WX8++fETSkpLGNB8ADnFOczZMcdYlhd7\nKBYFhSd7PEnrkNamtizYs4AVB1cwoPkAth/fbmxq9HC7h9mUsonPUj7DoljwsnnR0t6SUatHGfP7\nZWqZkXPgZfOiwFkAaMWJQrxD+PzE5/i4+3Cx+CI+7j6seXgNd7x3B6BVN3QNDECrlxBpj+Rk9kki\n7BHkFuViVayUqWVVBgYAixIXUVBSwKoHVpnuV5BXEI93eRyrxcrKgytJzUrF2+bNpN9Nol/TfuXX\n/DVhUA+k+jfvz8YjGylVS2kV2Iqi0iJOZp8EFe5ufjdfnviSnad2EuQVZKyGsCgWvhj/BbtO72LN\n4TUsP7Ccro26Mum2STQPaG60Z2LXibzQ5wUJDG4BMq0gxC3ucovZQNVDyRUDBn3nQ3eLNkwdaY+k\nd0Rv2oe0r3TdFQdXkFuci6+HL7N2zDLm3Rv6NDTmud2t7ry9923uWXGPsZeBBQvjOo4zViCE+4aT\nMD6BUe1G8b+H/tdom5+7H/kl+RzNPIrD7iD2gVhaB7Xm9ia3s2iotjWzHhg8H/08zjKnseqhuLQY\nq2Jl2f5lDF452NicqTrPRz/P410eJ/5oPF3DunJs8jFaBbYyvv7sHc+ajteTBrs06mK6p5H+kUyL\nnsaq71fhbtPuobvNnbe/fduUnJiSmcKcHXPwcvOiyFnEJz9+QqlaCkDsg7HMuXsOoC2bjE+Jp31o\ne7754zc0C2hmyiEI9wtn7s65xvbTp3NOM3fnXONa13vbZSmAdGNJcCDELajKVQfNzKsOalJVR1Ex\nYDBGBlYNYsL6CQxaNYj9Z/cbHReYM9I3PLLBVOMgaVKSURURYO3Da2kV1ApnmdM4RxllvP/d+6Rm\naTs4/qX7X1j4fwuZ3W82bjY3o4PPKc4x5tJfH/A65/LPkTQpid6O3vSL7Een0E7GdaICo3i257Mo\naEFOcWkxZWoZIQ1CSMtLMxIvASNIcdU9vDvToqfxyq5XaPtWW1764iVO55avPPCyaTkNXUK13Q/f\nHPwmm45uwmF3sGTYEuJT4skuzGbx3sV42jyZHj0dP3c/4/vkGriVlZXx7JZnsVqsZBdmmwIpwCjf\nDNqySdAKHrUPbW/KIWjk08gI1kK8QwCMpZ83qqaA7MdwY0nOgRC3oKrq4mcVZFHgLKh1Xf/aqE09\nfX0u+7k7n2NQi0Hctfwuvvz9lySlJxl7Aujz3On56fR4t4fxXj2vQKfP+SeMTyAqMIq7l99NalYq\nCgoBXgFkFmTiYfXAZrGx64+7+OL4F+QU5fDqrlcpLC2kKv/o+Q/e2P0GTtWJh9WDotIi/D39uVBo\nXvp4R+M7cNgddGrYiad+9xRvffsW//7h3xxMO2i0K8wnjIvFF8ktzsXP3Y+c4hyCvYMpKClg1x93\nseHHDcz7eh4+7j5k5GdQRhkKCjaLjaLSIl65+xWe/N2TrDqoTUGE+4Uz8n9HoqBgUSxG0PT3nn8n\nqzCLF/q8AGDay8LL5kWAVwDdwrqx8chGrIqVz8d/Tp+mfQDY+ONGhv3vMD595FOGth56lT8BV0f2\nY7g8sreCEOKqVDWVsP2x7dc067y25XWDvIIY1W4UC/YsMKoJjlo9iqlbpxp7AugJcBUTJN8f9j6A\nUULZw+bBN3/8hrsi72La9mmM6TAGAB83H2OUpKi0iGJnMbctuY1ntz7LnB1zePmul6v9HMsPLsep\nOoHyfRzyistHD3zctKJMz/Z8lhaBLfjnV/8kIiaClz5/ie/TvgfKn+R/ufgLrYNb880fvzEy/i8U\nXqBVUCvuW3Uf876ex+pRq/G0eeJUnXjaPClVS40AKPZQLG0WtmHqtqk8u+VZfr/u99zb4l4AIzDo\n1LATk343idcHvs5zCc/h7+lvjPL0jujNtse2aVtVH9lIsHcwOybsMAID0AIOgG9++uaGD+lfyX4M\n4tqQ4ECIW1TFX7y9HL0ue065pnlhfVi4YnnditX6/D39sVls7Jm4x6i2525154cnf6i0J0CQVxCP\ntH/EWCKoryR4IVp7Qn6k/SPc0eQOvjjxBXGH4pi9U6tEmFuSi7PMabS7RC0xOvwStYSZX82s9Nmm\n9Z6GRbFwNu+sMX2QXpCOgkKEb4Rx3MWSi1gVK2M/Hsuru14FRav5UEqpaWri3aHvAtoywgNpB3hn\n6Dva98HPwXdnv+N83nnujbqXiZ9ONKocjm43GoD3hr2Hv6c/35/7nvT8dAZHDcbuadfKKqduNn3P\nTmWf4uUvXybqzShT/YRBK7VpnUY+jYzv++Zxm+nl6GX6Xrpb3BnVbhTzd8/HEeO44UP6dVlHQVRP\nggMhbmFX+4u3pnlhfXTCtbzu9Ojp5JbkGpvp3PHeHUYRoHtW3GM8TWfkZ5g6c12kfyRxD8WxZNgS\nI+nQ3erOuuR1AMQdimPWV7M4knHElK+gd9IADWwNKp230FlIc//mpteyCrKMoMB1MyaLYuFYttZJ\nelg8sHvYKVVLcZY5CW0Qyr4/72PDIxu096G97/3h79MtXJuqOZN7Rts3IE4bstc3cvL39Gdt0lrC\nfcONKodxh7R9JNYlr8NZqt0Ph93B2qS1eNo8+eThTwB4vOvjRvsuFF4wik2BVp+hYqKp6/e94iZH\nA1YO4HT2aWNb6tomqdaVuqyjIKonwYEQv1G1yfa+2l+8l1rp4LA7jPK6/+z3T+bunGvaTGfPmT1c\nLL5IkFcQpWWlbEndAsC/7v0X245tM9pescRwgFcAdze7m/hx8TjLnOw7u89Yrvjq168yddtUpn8+\n3SiprNceUFCMVQlgroJ4oegC4b7akLpFsbD84HK83LxM7wewWrSAYeOYjbQOaW0kPYK2q+M9K+7h\nzxvL6zAAtAhsQaBnILc3vp3EnxP5bOxnxtSEHgTp5ZtfH/A6kfZIbm98O+M7jyfYK5iNRzcaiZD6\nNtFpeWmUok0lNPZtTOug1iy6b5HxmTxtnmx7dBv3t9XqLLgOywd5BfF4V21FhR4UDFk1hFZBrcjI\nz2D3md0UlRbx/nBt2mbmXTOZtn1atcWX6tL1XiUhNJKQKMRvVFVJh9mF2ex/Yj/bj2+/rKJHl6IX\nRfp24rfs/WWv6dyv7nqVV3a9QuKfEwn2DjYSzNoGtyUpPQkPq4epDoCCwoQuE/j3oX/j7+VP38i+\nbDyykdziXEIbhDI4arCpQE9yerLxFO6wO/hszGdsOLKBDw9+SHJ6sqmdVsWKqqrGE/3LfV5m5g5t\nSqFdSDsOnz9MsHcwnzz8CU3sTej3QT+OXdBGCTqFduLguYPGuZr4NuGn3J9M53e3uFNcpuUHeNu8\nyXfmo6Dg4+6Dr7svv1z8BRWVdsHtSE5PNtrh7+lPdmE2KioeVg8sioVCZyFebl7EPhDLyH+PZOnw\npfz39v82RgQ2jt1Ih5AOzN4x26g9kJKZQru32lFSVkIT3yY4VScXCi9Q6CzkuTufY87dc4zvsevP\nR88mPdnw4wZKykqICogiJSsF0IKkMrXM+LO64kvX8mepLs55q5CERCHEJVX3VF/dJjxXM5+s/9LW\nh8xdz71gzwJGtxtNkFcQEX4RxpJJfa+Ex7s9bhqufmfYO3z0w0dYLVYKSwqJOxRHXkkeE7tNJMKv\nfKnj9OjphDQIMZXyPZ93nv4f9uflL17mx/QfTW10t7pTqpYaZZv7OvrSv3l/uod1p0vDLrwU/RKg\nFU86kHYAu4ed0e1HG+/XA4Ppd07HZrFVCgwAIzAAbYTBpth4qN1DXCy+yM8XfzZGIA6nHzYCA9Cq\nF9osNvzc/Yy9GMJ9wzn85GGjvZ0bdWbzuM3a3xt2Zvfp3QR4BfDGoDf4OPljFn27iBYBLXgu+jlA\n24PifN55oh1axcT5u+cze8dsY+Soup0PZ9w1A4ClI5aWJ3patURP18AA6ma5oSxhrB8kOBDiN6yq\nbO8rKXp0Kfr0RJdGXSqdO2lSEv8e9W8i/SNJzUplwZ4FAMbmQx/s/4A/df0TAHdF3sXA5gPZNG4T\neSV5Rvlffw9/4r6P48U+LwJaYDF351zavtWWuTvnGp3YA20fINw3HKfqNPIFGjZoCJTnHehz/OM6\njaORbyMOnz/MgbQDjP9kPABv7X2Lp+OfptXCVkZb74q8C9A2ifpz9z+zbLg2VfJi9It4WDyqvCdN\nfJvQK6IX65LWGbUNXOnFoQCjjoG+qgHg7MWzLNm3BHerO491fIzx68azdN9SAJLOJzF752xC54XS\n6PVGTNkyhSlbp3As6xgDmw80plPK1DK2HduGl80LXw9fXvv6NVNCqMPu4PUB2mqS6XdO1+71r5sc\n3d30bpYMXQLAkqFL6BnRs9JnqIufpbo4p7h8dR4cKIoSrijKh4qipCuKkq8oyoFfpw+EENdBVUmH\nEX4Rpq2W/T39r3ipmr7ZzxuD3iDSPxK7h93IYah47qjAKLY/tp1g72ASjifQLqQdSZOSaB2slUSe\n0nMK8SnxdGnUxUjqA2jo05Dp0dMJ8NI2OAr0CmR69HTCfMJYm6QVRxrScgjrktfxU472RK+vRtBz\nBPTdGN0UN7o27MrRzKO8+PmLJDyWgJ+Hn7Fc0MPiQalairvVnT91+xOPd3mcv972VwBj+F6xaPfS\n7mXHYqn612huSS47Tu3AqTrJd+ZX+npxWTF2D23nxazCLErVUlMQUaaWMXfnXLq9041V36/ih/M/\n8Hbi23hYPYwpmKKy8h0fp/aayoYfN9CzSU8ebPsgAP8z6H8AyCjIwNPmyZ6Je0CBKVum4Ihx8Pt1\nvzeWjxY6CyttcqR/Tv3PqtTFckNZwnjj1eneCoqi+ANfAwnAICAdaAlk1eV1hRDlqko6TM1KNbZa\nnvHlDPad3VdpP4Xazv1W3Jsh/mg85/LPGefecXIHhc5C+jfrT6hPKAfPHSR+bDy3vXcb/Zv1x9/T\nn/Yh7bm98e3Ep8Tzwf4PmPnVTEK8QoxrjOswjjk75mC1WAn2Duahjx4irziPhzs8TOIviSwdvpQe\njXtwKvsUg1cN5nz+eSL8Ijidc5qfc38GygskZRRmkFGYwXdp3wHw7x/+bUo4LCrTgoifcn7izf97\nk5FtRvJ0/NPYFJuRRNjU3pTWQa25o/EdrB69mqGx5cWC/D38uVB0gZ9yfqKJbxN+vvizabWDzt3i\nbuzrkF2UTZlaZqqkqLep4p4MepDjysvmxewd2rLNzSmb2XZM2376X3v+ZRyTdjGN2969jZFtRuLr\n4cv5/POsOLiCTqGduLvp3aTlpfHGoDfwdfclZncMqHBb+G1EBUSx/5f9jO0wtto5/7pYblifljDe\ninkQdZqQqCjKq0BPVVX71vJ4SUgU4jr55vQ3jPjfEVrVwSqqz1WX0Kjv0ufKtZJdh9AOpGSmGGWH\nQeuYR7YZyZ4ze8guzGbVA6sY+e+RRrW+2xvfzvrk9QAMajGIhOMJlJSVGMvpEv+cSG5RLv2W90NF\nRUHBw+phVDVc//B6RrQZAZRX+Htv2HtsPLKR9T+up0VAC6PEckXebt7kl5Q/2etVF1sEtMDbzZvv\nz31PpD2SryZ8VWXG/MkLJ3noo4fY+8terFiN+gZ6O10DD1cBngHGFIdVsdIrohc7T+2s9vsV4BlA\nobPQtNrCVZhPGMHewXx/7nsa+zamgXsDjmQcMb7uafU07legVyCFJYXkO/NZN3odB88d5NWdr+Ju\nc6dnk55sTtVyG7o07MK5/HPVft9d74FrYuSl1Kazvdxz1qXL+X/hRrqZEhKHAXsVRflIUZQ0RVH2\nKYoysY6vKYSohV4RvYwEt6qGbi9n7td1GHjZ8GW82OdFWga2BCDYO5iGPg1Zl7yOhg206YHODTsz\nsetEtj+2nXDfcNYlr6NDaAc6NuzI5tTNBHlroxyxD8QyvvN44o/GE+4bbszJq6hGRze05VC6NOpi\ntEWv8NelURfahrQFINoRDZRXUgSY1msaAC/cqRVQ6hzcGcCoqpien27M3Z/JPWN05BWXhEb6R7J4\nqPbZZ/ababTP9U9Xdne7cV8sv/4KLlVLawwMQNspUg8MPK2egBZ06SNCv1z8hUKndk8yCjJ4ue/L\nxjGAqTx0ZkGmca7NqZt5bddreLt7k12UbQQGNouN/Wn7CfIKuuScf6R/pLEvRG2qKtYm6bA+LWG8\nFfMg6jo4aA78FfgRGAgsAv6lKMpjdXxdIUQtXGro1rXT799cmwJQVZWY/8QQszsGVVWNTkB3JvcM\nc3fO5VT2KUDrZM9ePAtoQ/Vzd87FWeake3h3OjTsYJx/SKshvDfsPUArggSw8P8W8knyJ8zdOReL\nYmHtw2tN7ds4ZiMbxmwwdUruVnd6R/QmtyiX+bvn42XzYsWBFYB5SP7Vb14FYPoXWiLegfQDAMax\nPm4+bDy60Th+SOwQxq0dhyPGUakju1h8EZvFxv/s/h9T+1yDEYA7mtxh1Cto4tvEtGLhUlz3ctBr\nIzjsDmOzpQDPAI5mHgWgd5PeTN6sbbT0/J3PV9menk164u3mzYoDK/hLj79UCg714G7ZiGU47I5L\n1s24nFUGN2Nne6vlQdR1cGABElVVfVFV1QOqqr4LvAv8paY3PfPMMwwfPtz0X1xcXB03VYib25Vs\ncVubIkh64DB/93zavtWWBz96kClbpzBlyxQe/OhBoxPQ90Ho0qgLm8ZtMp5ifdx8jJUDdk97peWU\nM76cYZw/8edEABq4N8Cm2NhybAu5xbmsGb2Gbce20T64vbFyAODr01+zP20/U7ZMISImgtuW3MbA\nDwfy3S/fsfPUTpImJdE+tD1laGv1dZYafvXpT/vpBenGa84yJ1kFWcQeiiW3OJfVo1az7dg24972\nbdqX1L+l0sS3CVBeqKhifkBKZoqRIPnFyS9oFdgKT5tntW3RuSvuBHsHA1p+wVO3PQVAZr62msPD\n6mGMBPh7+JNwIgF3qztdG3WlQ8MOxnmGtizPjfjmp29oF9KOzY9u5p3Ed4ytmnUTu2qDvPr3/1Kd\n/+V2+DdjZ1uf8iDi4uIq9ZPPPPPMNTt/XQcHvwBJFV5LAmr8KYiJiWHDhg2m/8aMGVNnjRTit+BK\n1oe7Dt1WF1wEegYysetEEsYnGFMA4b7htA1ua5oqiI6MNs7VJ7KPUV3vYslFmvk3AyBmYEyl5ZQb\nj2obACWMT2Bwy8E80uERGjZoaKw26BfZj4mfTmTq1qmUqqVM7TUVgDsdd7JgzwL6fdCPnhE9ySnK\nYe8ve8kqzMJqsfLq16+y4sAKY6meHqCEeofW6old79itihVfd1+j8420RzLhkwlMjp/Mvp/3cdu7\nt3E6+zQOu4O598wFYNJtk8rvsb18WNzd6k7C+ARGtNLyI17q85JRFhkqjzToHu38qLHyQEUl7oc4\nmvo3NVZBNPFrYpRcXnjfQkCbOth/dj/j1483zvNx8scARqC0eMhi+kT2MW3V7OOubSTVOri1KXCs\nTedfU4df1c/X2iRtJOhqOtsrCYqvVH0q5TxmzJhK/WRMTMw1O39dBwdfA60rvNYaOFnH1xXilnO1\nQ7XVBRelainvDn+XXhG9jF/8mQWZnMrRpg30qQLXAjugFe3R6YV1wnzDqlxjHz82nl4RvbS9Ex6M\nY9UDq4z3JpxIMH2WDqEdmNh1IivvX0n8uHhyi3NJOJ5AAzdtz4RCZyG5xbnkl+Qz86uZPPDvB7T7\nE6AV+TmXf84o+FOdlgEtjR0fA70CjVUFAMcvHOdc3jmcqpN7PryHvT/vpemCpoT8vxCGxQ0DYO7O\nucYOjiezTxp1DM5dPIe3mzeB3oEAPB3/tLGbIlS9EsHb5s3KgyuN0sVrRq8hwh7BiQsnjKBrYPOB\nRPpFMrHrRCMvY/Wo1XQI7WAs0bQqVlRUGrg1MDaB0jtlh93BvP7zAFgwaEGlJY262jztV/d0XdXP\n14I9CxjVdhTxR2uXq1CV61k0qT7lQdS1ug4OYoA7FEV5TlGUFoqijAUmAgvr+LpC3FSu1dPPlQ7V\nqqrK9mPbjZ0Rlx9YjkWx8MOTPxDSIMRoi/4L/1/3/stY1ldUWkQD9wa8uutVU4AQ5BXEyNYjAXCz\nujGx60TO5p3lvzb/l/GLXF9jfyb3jOnz6/PyfR19K30W1+Q313oI+ntclaqlXCy+CEBSRpLxxJyV\nX76a+vbw2yu970LRBeMpW9/PoaIytYwIvwie6P4E7lZ30vPTUVHxdfc1AhTQEgJzirXP5VSd/O7d\n37Fsv1ZEKbso25S06FoESVfoLMRmtfHGf94g0h6Jw8/BzLu0xMfeEb0BeO+79xjw4QAOnTvEk589\niUWxYFEt9GrSyzhPzyY9jXZHBUYxsetEAj0DjfuuJ3KmZKWwZNiSSh2g/jOq3+e8krwqf0YDPQPp\nHdHb+Cz6z3KLgBZVFsia238ur+x65Yo795sxf+FmUOd7KyiKch/wKhAFHAfeUFV1aTXHylJGcUu6\nlkul9v2yj+5LupP450S6hdXu/yPX67cObM0XJ78A4IE2D7D7zG6jLTaLzVheFvd9HM99rpXqDfIK\nwmaxcbH4oqnNX534iv4r+hPoHWjsiZBVkEVUYBTfn/ueTqGdaBfSjie6P8GglYMI9A5kUItBfHb0\nMzLzM1k0ZBFPfPZEpc9yNOMoHRd1JNArkO5h3Y3EwUi/SE7maAOTd0bcya7TuwAtx8Bq0aYH9KqL\nNWnk08hIovSwelT5RA8wp98cXv7qZWwWm5FjAeV7LLgpbjhVZ6VVCzbFhpvVjXDfcNMSy46hHfn+\n3PemYy1YaBbQrMqlmDbFRqvgVhzLOoaz1Fle+EnR6kHkFOVUWvq4cexGhrQcAmjf986LOuNmdaNv\nZF+2H99OWVkZ06On80KfF0xP/0fSj9D+7fb4e/oT4BVAVkEWFwovcPjJw7QMbmkcd6mfZX0fjr1/\n2kv38O6AeSlsVctqa6Oq895qbqaljKiquklV1U6qqnqrqtq+usBAiFvZtXz6uZJ5Udfr64FBy8CW\nfJz8saktrsOqA6MGGu/PKMggwh5Rqc19m/YldXIqDrvD+FzJTyUbOzUuHbGUuIfiaGJvgs1qIyM/\ng+UHlpNdmI2nmydtgtuYPov+9JpbnEtpWSlpeWmmFQV6YAAYgQFoWyerqmok9YG5fLEu0h7JoBaD\nyCrQRhaa2ZsZgUFVSYzPf/E8zjKnKTCA8j0WfD196RHeo9L7gryDmNprKjP6zgCgWyMt8KkYGOht\nT81KNW07rWvg3oCTF06yZdwWghuUfzZ9xMTb5o3NYjNGGEa2Hkn74PbGaEFUYBSrR60muyibDUc2\n4GXzws/Tjzk755CaaQ5GTmWfwqk6SS9I52jmUdIL0nGqTmN6SXepn+Wqph2uRXJifUoW/C2QvRWE\nqCeuVfb2lc6Lum6KNLL1SGb30yruLbpvUZVtCfIKYmSbkca/9aWOYN5i2TW34O3Bb7Pp6KZKQ9Mt\nAlqQNCnJWD7XMrAlSZOS6NO0j+mz6PPLg1cNRkWtsvKg6zbMOotiwd3mzrwB84zX9E2E9D0F2gS1\n4VzeOQ6cPWB8juPZx2nore3NUFMSo57s6Kq5f3MKSgr49udvK30tLS+NWTtm8cLnWo2FQ2mHaGpv\nanzdNXDRcxc+HfOpkWOgaxnUkh+e/IEvT35JZkGm8TlAu7dhfmGkPJ1Cn8g+ALzY90WyirKYHD+Z\nNgvbMGH9BP6w4Q/G+TIKMsgqyMKiWCp1sk0DmlZKmPSwetDUvykV1fSzXF3werWde31KFvwtkOBA\niIwPSNUAACAASURBVHrkRj79uG6KVOgs5Kl4bbncosRFpnoGrsV/5g+ab+QV6EsdJ6yfQOuFrYk7\nFEerha2YsH6CsaVy4tlEpmyZwtDYoUQFRjFq9ShjftlhdzA9Wuuop0dPrzIg0Z9KHXYHpWpplYGA\na4KfLsI3gqRJScYOhxYsRrGfeV9rAUNKZgrxY+MpVbURCV1aflql8xnn9dPOpy8tdHXswrFqqxmC\nlotgjHQocCL7hPE115LJes6Ej7sPHUI7uJ6C/s36U1xazLyv5xlLIpMzyrep/mDEB2QWZvLGN2/g\n7ebN3J1zGRo7FJvVRpB3EMsPLMdhd7B0RPmAblRgFMlPJVcatYoKjOLHp340ijiF+YSR+OdE05JO\n0+er5me5uuDVtXO/khycWylZ8HqQ4ECIeuRGPv1EBUbxwYgPAK1qnj6cvvS7pUY9gylbpjB7x2zj\nl3aAVwDdw7vTO6I3Gx7ZYAwle9o8+foPXxvTCXnFeXjaPNl+bDu+Hr7kleSRkpmCw+4wDTnrT+x6\nsaWqOogmvk2MEY7Jt0+u9Dmqqkr4t9v/hsPuMO5v3ENxxjC9U3WioOBm1fIDXFcmVKVVYCvj73pl\nRn35X01cpyXeGvwWn4751Ph3cVkxfh5+RrDj+hlsig2rYuWBfz/Ap0fK3wOwYM8CLIqFw5MOm5ZM\n6p9txpczuG/VfaioNPdvztqktYT7hvN89PPGksfXB77Ozzk/G8mfz0c/X+2oVUlZiTHqE+AZwMCV\nA6tNHrzcn2XXzl22bb7xJDgQoh650U8/o9qP4skeTwJaZ9w+pD2NfRsbtQ02jdvEnJ1zjCHpNgvb\nMOurWST+nMiETybQqEEjQBs2b+jT0Bha/nTMp3QI7cDapLVE2COMFQb6kLMeCET6a8vxIv0jmbVj\nFlO2TKHtW235/brf44hxMGXLFL44+QUx/9HWc39+/PMaP4/e2QZ5B7F4r7ZDZLewbqTnpfPHrn80\njgttEMrz0c9zd7O7jXoB1dE3lQLYmroVbzdv9p3dZ5Q0ro63u7fx9xlfzeDN/3vT9PWcohzahbSj\nY0hH0+tuVjdaB7XmQpFWIVHv+IO9g9n26Da2HduGv6e/kccB2qoHi2Jh49GNZORn4GZ1Y/bd2jSR\nvt31Qx89BMBDHz3EK7teYVyncUB5gFaVFgEtGNZKW655OP2wUeOieUDzSsdezc+yrEC48SQ4EEIY\nUrNSWbq/fIg5LS/NKM+7eMhiGvs1xqJYSM9PZ/mB5aTnp2O1WNn62FajoBFoa/FbBLYwhpTDfMNM\nc9BhvmFA5ep7g1YOoqSshEErBzHv63lsfnQz4b7hrDi4gtziXHw9fPnwwIdGlcHv0r7DzeJWbcVD\nN6sbCgp/+OQPTNo0iZZvtmTK1ik8u/VZ3v/ufdPnnLNzDsPjhuPwdRhTJQDDWw0HoJG3FvgEuAcw\nrNUwhrUcRjP/ZrQKbEV8Sjz+XtV3qgDFzmLj7zlFOWxJ3VLpGIfdYZpesFls5DvzOZx+2MivcLO6\nAbB53GYa+jYsrzT51QxAy3/4cOSHtA7SSsw0D2hO0qQkY7vrCD8tcTTMR/sehPmEcXjSYQa2GGjU\nN6hOalYqm1M3G1MYp3NOM3fn3Dp5or8ZKyj+lkhwIIQwRAVGkTA+AX8PraML8Q4xnqQVRTHmo/Ui\nQvq/73TcaUpmjPSLNFVXDPQMNFXDc7do+x8EegYa56nqSTE6MtroIDY8soEIewTLDyynsLQQu4c2\n911SVoKKSueG5UWXdE39m6Ki4mnzpEwt40LhBe5reR92T7vpOHerO542TzYe3cg9H95jytTfmroV\ngOxird7BiZwTHD5/mM9SPiM5I5mUrBQAY+ljRTaLNnqhr2Dwcfcxpmy6hXUzJfltPLrRNK2h76Hg\n6p93/RPQEg63H9vOD0/+oAVmRzbi4+ZD/Nh4RnUYxbiO2khAWl4aL33xEqNXj9aWmxZdZNPRTbw5\nWBu5eHPwm2w6ugmH3XHJJ339+60nRtosNvZM3EOLwBZ1UplQViDcOBIcCCFMekX04sP7PwRgXv95\ntA9urxW1+TWD3t/Tnzua3AGUz0+7JjM6VSeDVg0yVVd0qk7m755vJMUNWjWI/Wf3m5IHq3tSrGr0\n4ZP/396Zx1dRnf//M7lZCZJAAkEsgSgkUaFfFfqtSlkSFQoSXFGKirbaTbv41S7amhAvqK3aYlsV\na1u1PxGsirhgUAq41B20tS5AAAHX2pZdAgnJPb8/Tp65Z849M3du7prkeb9e8wqZO3fmzNxLns95\nzrOc/zgKsgvs9z547oOYecxMnHiEHNfxZcdj1rGz8MtTfglAVv0DgIriCrm00W8oln8tnALZ1tGG\nz9s+x7QR07D74G68/Z+30S+vH06pOAVHHHYEAKCsUGYt5AXysGXXFuRm5SIvkGcHDLpx6+Rb7X8P\nLhzsOP7NT9/E6EGj8a0TvmWLHS8sWAg+H8RR/Y/C6Q+cjh+s+AH+/I8/29kg7aIdlzxxCS557BL8\n+hVZbrkorwh/fuvPGFo0FFt+sAVHFB2BH638kV2ASg0KdUON/ygvKrdTMHe27MTkRZOTFhfAGQjp\ng8UBkxKam5uxYsUKbNq0Kd1DYXxA1fKG9BuCdtGOf/zrH5jywBTbCCx5RzZCo/XpEQNGYNVFq1Da\npxTLm5djyGFD8O7l7+Kv7//Vzqdf+821KO1TiqXrl0bMOBeuXYiFaxcaq++pBoKEQnuo3dEY6Yqn\nrsC8F+Zh5jHS4F097mosOXeJnX7409U/BQD8p+U/AID6CfX20gYxcsBING1usr0ilx5/KR49/1H8\n6Uy5/DB15FRcetyluOS4SwDIFsj98/t7PscZlTPw4Z4PMWqgdNVTuiEABCCXRr5x/Dew6J+LbG9C\nn0CfyBN1khPIQUt7C7bs2oLPD32OQ6FDCL4QxNQHpgKQXgDyvhzR7wjMGjULt0+VgYckuMhLoy8r\neK3n6wGClMlyx+l3JDUuIN0xOL0ZFgdMUtm5cye++tXTUVVVhWnTpqGyshJf/erp2LVrV/Q3M2lD\nNcgml//qi1ZHrE+fXH4ynr5ApgfedfpdOBQ65DAokxdNxn/2S+P8yd5PcPKfTsbspbNRdXsVfrDi\nB7jy6Stx3sPnYeSAkTjv4fPsWahqIGhc/Qv6O2oL7D64G1lWFr7Q7wuoKqmyawYcN/g4zDp2Fsr6\nylk/FUF67ePXkJuVi/OPPd+ud3DNuGsAwHbHL3h1AUpvLsWU+6cAAO79x7245ivX2AIDAP6137yU\nQHx1xFexcN1CvPufd+V4Fe94B6TXpGlTEwpzC+1CSgc7DhpjKE4feTqenfOsIyshC1noEB042H4Q\n00dOx2lHnmZ7V+49414sOWeJLfT0okOUvnjPGfdEXc/XvwOH9z0cs46d5bgexwX0LFgcMEll9uyL\nsGrVqwAWAfgAwCKsWvUqvva1C9M8MsYLfcamu/xPLj/ZOKNT14hNouLh8x4GAASyAtjbthdL3lmC\nzz7/DB2iA5ZlYVDhIGzauclYbZHGMWbIGBx/+PFYM2eN7YofWTISG763AeeNOg/rr1iPt//9NvYc\n3IMVm1fglsm32AGGpx15Gs6tPhe/euVXmLxoMvKz87H247XIsrLwwR5Z6e+mF2/C8OLhCFgBHAod\nQmtHKwYUDMDqi1YDFvDUpqcQsAKuHRSJAALYtHMTXr/sdYwuG40O0YG2jja7qFFeIA8WLCzftBy7\nD+62exEc2f/IiIJLt025DctnL8dJQ09CTUWNvZ+Oe2LWE3jgnAewYvOKiM/CT9EhP3UF1O8AVbYs\nLyp3xJIksyMik1pYHDBJo7m5Gc8804SOjt8CuADAUAAXoKPjN3jmmSZeYkggqWhb6yc4TDdEuqgY\nNVB2VFwzZ41dDVFAYNSgUWiY2IDfTZNBcrdOvhVNm5oixq+6t+9+8257LCP6j8DS95biphdvwo9X\n/hg/fPqH+MKCL+CKpitQvqAct7x8CwA5+z+i6AiIkLAzLva17UNIhPDCBy8gPzsfLYdasG33Njva\nHwBWXrgSJ5efbBcCOv7w4x39FvTSxhYsnHPMOfjd67/DuHvG2S58ADjtqNMAAOccc469ryCnwE67\npMDKgQUD7deP6i+XX+a9MA9L3l4S8dx//eqv7TX//W37HZ+Bn6JDfusK6N8BijWhWBKuR9BzSHrj\npVjgxks9ixUrVmDatGmQHoOhyisfAihHU1MTpk6dmp7B9TDURkSTj5qMlVtWYueBnXjnu+9gRIl3\ne2K/bN+93W66FMsaMDWCuvYr1+Kar1yDfnn9sOfgHkx9YCpe+egVAMADZz+Arz/2dfTL64f/Hvgv\nSvuU4sChA8bGU2qTHrXRUjTyAnnIzspGW0cbLFgIiZBdAImKDo0dMhaNExsxfcl0LDprES5cJj1c\n6765Dms/WYvZo2ejb05fTL5/MlZvW22fe0T/EXbWgo56fhpHbUUtntv2HHKycuyOjQAwqM8g7Dqw\nC4fEIQzpOwSffP4JAFkS+ZPPP0FHqAO3T7sdVzRdgZZDLQCAfnn97EDBi794MX407kcAgD/9/U/I\nD+TjO2O/4yva30/zI9N3IBFNk5jE0K0aLzG9l6OOoj/qL2ivPA8AGDEiMUaLkTM5vf6AqT6+H9y8\nEH5S3UyUFJRg5jEz8ZvXfuMor0zCAACufPpKZAeyMaCPTG2kILkj+x/pGMueg3twzaprcMup0hNw\n2lGn4biy4zCoz6CI61JpY3Ljt3a04kD7AWRZWcjLzrOXBQSEnc0wfuh4/Pa13wKQwZZnV5+NsYeP\nxb7WffbMeuoDU21hkJclz7F512YcP/h4x/ULsgvw4iUvYnz5eHtfUW4RxpePx/KvLceG723AoMLw\nuOfXzMe/W/5tCxYSBgXZBdiwYwP2tu7F+PLx+Pman9s1D86sOhMPnPUAAOCzzz/DvL/NQ9ktZRh8\n62Bc9cxV+OHTP4xooOSG6uU5tSLcJ0P1Qpm8EFyPoGfC4oBJGpWVlZgyZRoCgR9Axhx8CGARAoEf\nYsqUaRg5cmSUMzB+cas/0JXI8USXrh1WPAwPzXwI669Yb8cfDC0aiqUzl9p1Dg7vezjWX7Eei89e\nDEAG01GKpDqWytsrseSdJTjnYemS/+Pf/4i3PnsL/235b8R1r/zylQBgF0wCpPHPDeRi/6H92N++\n395/9cqrAQALXluAle+vRE5WDu79x7149eNX8fa/30ZxQTHeu0JWBFz5/koc1f8oBKwAWkPhpYX3\n/vOe4/rzaubhYMdBvPBBWBzva9uHVVtX4cnmJ3HNqmtw1YlX2a/97YO/4cVLXkRBToHtaRhePNzu\nzzCi/wg8vUUWhaLaE/UT6+2Aw99N/R0sWDjYcRAH2g8gOyvbFoehUAizl87GR3s/AgB8tPcjzF46\nG6GQM7aBjleFnJ/Pn+sR9DxYHDBJZcmSRTj11BMBXASgHMBFOPXUE7FkyaI0j6znUV5Ujp+P/zkA\n7/r40UhW6Vp9hnnW0WfhW2O/BUAGuBXnFzuC20xjKS8qx8vfeBlfOOwLAKQb/piBxxg7Jm7ZtQUz\nj56J3Qd32/ue/+B57Gvbhzu/eqe974jDjkC7kMWG+uX2Q2lBKTpEB5auX4qSghJkWVk4ffHpaHi2\nAR/u/RCADGxcOG0hAOCmmptQnF/siEEAZF2ETTs3YdFZi+zMiqysLORn5+PSJy7FkneW4PIVl9vH\nP7PlGew8uBNTjpxi71MbS1183MUAZJdMit0oKSixYwcqSyrtoEYiYAVgWRae3fYslryzBMNuG4YR\nvx2BYbcNw5J3luC57c85jh+QPwDjho7D47Met595TlYO3r383YjPX/UwlRSUYM7/zMGKTSs4GLGH\nwOKASQ4dMk2rf//+ePrpp9Dc3IympiY0r1+Pp59+Cv37e+eHM11DbVxkQv2DLoTAglcXYMErCyK6\nLsbiKo4lGFKdYW7ZtQW3vXobANkg6Og7jsZvXvsNzjvmPEdkfXlRuW2Ib518K04aehJ+8pWfAJB9\nDjbvdK71D8gfgJysHNz31n2YXjXdOObg32SVwbxAniM1cG/bXgzvP9zu/XDvGfdiw/c22IZyYB8Z\nJHjfW/fZtRNueukmhwDJDeTCgoUdB3bgRyt/hJ+s+om95GDBwsoLV6Kif4X9OzFtxDR856nv2CWo\nLViOOAYKqvx438cO9z79e+LwiVh6/lL7+CF9h2DD9zZgYOFAbNq5CS99/SXkZ+djy64tyM/Ox8vf\neNlO4ySopoXeJ4MqNaqf9ZZdW3D1M1ejfEE5Gp5twKr3V+GmF2/iYMQeAosDJvF0dABnnw3Mm2fv\nGjlyJKauW4eRP/2pLRyYxDNq0CjP+viqm/6ch87B1c9cjatXXo1zHzo3wn3s11UcyzKEXj9h9ZzV\nsnDSJlk4af0V6/GXmX+JiGv4eN/HAIDpD0zHBUsvwJVPyyUD04x958Gd6BAdePqCp3HRFy/C+cee\n73g918q11/NbO1rx8kcvO16/9bRb7QJJVE2RhNLNp96My46/DKvnrLZrJwzpNwT31DlbHr/93beR\nl52Hdy9/F4f3PRzrPl0n33/azVj36To7DuFnX5Etqof3G46mzU0oKyzDg+c+iOFFw+0CS+R1GFY0\nDLNGzbI7QZoYNXAUjiuTr+9u3Y2GZxvsz6Osbxl+f/rvAQC/P/33OGnoSRHvVz01ep8MwPlZz39h\nPg7LOwz72vbh//3z/3FzpB4GiwMm8QQCwNixQENDWCDMmyd/HztWvs4khWgV5dQ//ss2LMOoQaMw\numw0Ht3waMQfd6/SteoMcsSAEXjtsteQnZUddRlCH9/JQ52Fk9w8FMcNPg6njzwd+w/tx+J3FqOt\nQ/YpUGfsKk/MegLjh43Hll1bsLx5OQpzCu3XDolDDtc9QbP46UumI/hcEH1y+uC2V2/DjCUz7JLH\n/fL7YcyQMTjpCydh0VlyaWzRWYtQ0b/Cfn9ZYRlO/tPJ+EGTLG38nTHfASALFt3x+h24+pmrseBV\n2VXyN6/LQMiTy08GIGMBntj4BNpCbXYWA5UqPr3ydCw+e7Hxs6XPozi/GCcPlefKDeTiz2/9GQEr\ngGu/ci2O7H8krKxOwZflLvhUr9GZVWfa1R2ByGUeU4dNpmfA4oBJDvX1QDAoBUFenvwZDMr9aaY3\nlXI2ufybNjXZbvp7z7gX98yQs179j7ub0BBCYN4L8+wZ5AVLL8C4e8bZ1Q+7aiSodLJpWWJY8TAs\nn70cT37tSfuY0YNG27USAFkoiBjcdzDuWncXBhUOwntXvIe+uX3t18YePhYr31/puLYFC3855y9S\ngLTtx+PNsndDn5w+WL5pOc596NyIyo2qZ+ULRV9AXrbMXHh227PY27YXh8QhBJ8P4ttPfds+bvOu\nzRhZMtJucXyg7QD65vTFU5ueAgAU5cs+CCUFJbbH4ImN0vje9upt2LJzi3EJZ/POzfjRyh9h6IKh\nuOsNadgpSPPDvR/ihr/dgPd3vY/hRcMdFSTdoHurn1gf8fnrS056h02dVNTgYBIPiwMmedTXA7m5\nQFub/JlmYdAbSzm7ufw//ly66S3LijnSfMuuLbj5pZtRmFuI1vZWLH5nMfa17cNvp/42pvOQ0fjs\n88+QnZWNmQ/NxEl/OslzWULth3DvGffi15Nlc6HTjjzNztQ4s/pMfN72uX3fDc822KWJAWDtp2vR\nL7ef47z1E+sxc9RMhwDZcWAHKvpX4OVvvIzh/YdHVG6MWCK5aLUd6zFywEiMHjQaHeiwUyaHFw8H\nANw9/W48dO5DAICBfQfi80OfyyWDY2dhweQF9r2tuXgNSvuUYu2nsifF6jmyQqPp88yystB0QRP2\nH9qPkAg5SksPKxpmZ66MKx+HDd/bgHHl4zw/m2gNj9TvTLRjE539wqQGFgdM8pg3LywM2tocMQjp\noDeWcnbLPDiu7LiIaHe/ne/onEP7DcWOAzsASDf+iUec6GjDHA0yGt9c/k2cUXUGdh3chVc/ehUl\nBSWuyxIlBSU4s1qWQrYsy07j+8Wpv7DjLW6bchsmDp/ouG/qqZCTlQMg3H6Z+N8h/2v/WxUgd51+\nF04aepI9U144bSGaNjVhb+teDCsehl9N+RVWbJYR+ieXn2w3ORpXPs6u9njbV6VH47tjvgtAdkFs\nfK4RALDrgBSmVI5Y7YOgLrlcdoKMI6ElnJysnIglnPHl4+0lDLXb5S9P/aWx2qQX0Zan1O9MLEtZ\nNGa1KRfA3oRMhMUBkxwoxiAYBFpbw0sMaRIIGVXK2S0gM0mBmqbMA1O0eyzFjcqLynHd+Ovs3+9a\nd5exDbOXS1k1GkvXL7Vn/lTjwMSw4mG4bcptRmGj3ocQAk2bmux2yTeccgPGHj7WcY+0DHFm9ZmO\nAE5dgAgh8Mh7sq5A885mXP3M1Ri6YChO/OOJOPqOo3Hl01firc/eAhAWH4v/uRjnPnQuAOCnq2RW\nQ1F+EWYdOwuH9z0cyzctR2mfUiycvtBxnRWbVmDOF+dgQP4ALHhlARa/Les+LHhlAcpuLcPsR2Zj\n8qLJ+Gz/ZwCkWKFntWXXFtzzj3BgJPHdp76b8Jl6rN8Z/TuoN+Vib0LmweKASTwdHcC6dc4YA4pB\nWLcuLdkKW7ZQlbgJ2isTAQCbN5tL3yYcQyYHAPn72Wcn7dlEWzroyrpwebE0SsX5xXa2gT7jj+ZS\nHtpvKE498lQAsGs0LF2/FKFQyHU80YQNxURc/czVtoG+9PFL8d5/3sNPTv6JfdyIASNsT4P6fl2A\nbNm1Bbe9JoXENx7/BkIIYW/rXrz28Wvom9vXroNwyWOX4PtPfx/ZVjYWnb3I7qdQVliG8489H5/t\n/wy/r/u93Q3x0uMuxbL3lmHWqFkoKSjBix++iMbnG7Fq6ypctfIqXL1SBi4OKxqGPjl9cLD9IJa8\nuwSt7a0oyC4AEM7ioPtZPWc1ivOcaaxDDhuCq066Ciu3rHQ811AohJkPzcRNf7sJQgjXwkjxQt8t\ntR33qvdX4d3L33V0efzZ+J9hYKFMFWVPQvrh3gpMcujoMGcluO1PMs3NzaiqqoJcUrhAeWURgIvQ\n3NwcWbExWfegelXq6yN/TwLR+iJs3rkZx911HIryi3Dakafhr+//FTtaduDVy17FcYOPw97WvVj8\n9mJ8e8y3bYFB5zyj6gzUPViHdd9chzFDxkScW6+9/8jMR7Bi8wrMHj0b/97/b4xeOBoH2w+idngt\nXv34VQgh8OTsJ3HGkjMc49lzcI+x14IKCYNfvvhLHJZ3GA62H8Se1j2wYOH5S55HYW4hxtw9BmdW\nnYnbvnqb75nv9t3bMe6ecbYxHlY0DNv3bMdzFz+Hlz58Ccs2LIvoLfDGJ29g7B/GYt0316Eov8h+\nviccfgKWNy9HXiAPrR2tyLKyUFFcgfd3vQ8BgaqSKmzcsRFHHHYEBhQMwNv/fhtjh4zF5WMvxzee\n+AYAYPSg0Th20LH4xSm/QHlROX7/xu8xe/Rs9Mvrh9+88htcufJKe+zZWdnoCHUgPzsfD577IM57\n+DyU9CnBqIGj7MDM8n7l+GjfRwiJEFbPWR1R/yAe6LtVmFuIorwi7Gndg/1t+/HWd97C7oO7MfYP\nY7HsvGW4cNmFMX/ejBPurcBkPm7GM01pjDGXck7mDD8NmRyxrgurlQHd3L50TnWd3ISXS3n+C/Pt\nNMM129bgmIHHYMP3NuCUilO6VKWRgiUPyzsM7aF27GmVsQV3T78b44eNt5chYhEGAHAodMiOrwCA\n7Xtks6ezHjwLN/7tRrsMsurmd2tfvbx5Ofrm9MW3TvgW/nrhX5EfkIWJBAQG5A+wMzB2HNiBeTXz\n7Of2P4P/x77+vWfciyXnLMGw4mER3pkbXrwBAGzPRXuoHQErgGkjp+G7T30XWVYWSgpKsPL9lagu\nrUZ+dj4+2PuBa2GkeKF7Ly8qx6adm1BeVG5/lvSMyovLk1KVk+k6LA6Y1JHitXadmEo5J7tWQ4Zl\ncgBOI65XBhxy2BBXt6+fgEY3Q/nnt/6MkAjh3jPuBQBcP+l6XLPqGoRCoS419LGDJYuGOoz5CUOk\nJ7Ir8RV0XupnAAA5lowt2Nu2F1NHTMX3V3wfgEwbJLf9gPwB+PIRX8ZjGx6DEALF+cX2Ekq7aMft\na2/HjAdn4FDoEAA5wx/Sz1l8aGjRUPu56bEQ+j2rLvpZx86yhQUAjCwZiaXrl2LIYbJqIj3vRWct\nwh+m/wGAe2GkROD2WarfHW7glFmwOGBSQ5rW2lUiSjk3N3uXck7mDD/DMjkI1Yirf6x/Pv7nuPFv\nNxpjB/wYXF1AqOfedXAXLn3iUgBA3ZI6R83/rjT0Uc8NyEI+fjMxvBg1cBQmHzkZAPDjcT8GIDs6\nPrL+Eew6uAsBK4AnNz6JH638EcoXlOOqlVfh9Y9fx/wX5uOch87B0XccbZeLfuS8RzC6bDQOtB+w\nxcGtk2/FfWfcZ4951MBREQGXaiyE2z1T5sPxh4e7RFIlxltPuxXlReX2+j8AX4WREoHps9S/O9zA\nKXNgccCkhgyqmjhy5EhMnTrVX1fIZMzwMyyTQ0U34rbbtyg+t69JQNC57znjHrsWQF4gz+HaLiko\nwaXHXYoVm1bEFCxJ56bYgvKi8rgL8QwrHoabTr0JAHDMoGMAwH5/SIQQEiHc/8/7UZBdgH1t+7Bs\nwzKMLhuNUYNGYdmGZRhy2BCsnrNalrceOMouPgXIGIaxh4+1f/+/k/4Pw4qHoX9Bf4wZMsaeRXsJ\nMd2wlhSUYNaxs3D+sefbnR1nPjwTlzx2CWY+PBPZVjb2t+33XRgpXvx4mGJNq2WSiBAiYzYAJwAQ\nb7zxhmB6KMGgEIAQubnyZzCY+jG0t/vfn+jxtrcLMWNG5HmCQbnfbWxxEgqFxMK1C8Weg3uEEELs\nObhHLFy7UHR0dBj3h0IhIYQQ23ZtE5c9fpnYtmubEEKIdR+vE2iEWPfxuqjnpnO4oZ77/n/cSZFF\nJwAAIABJREFUL9AIcf8/7o84btOOTaLwhkIx5FdDxMXLLhZDfjVEFN5QKDbv2Ozr3F09h9d5X9z+\norjs8ctEw5oGgUYINEL0uaGPQCPE2LvHiuUbl9vPyfTMhBDijU/esN/7xifyb95zW58T2cFsUXZL\nmbh42cWi6KYie5zRnqt+z/prsx6eJb545xftMW7fvd31Prv6mTLp5Y033hAABIATRLz2ON4TJHJj\ncdBLIEObm5v6a8dinEkY0LH67/GMIZb9CcDNOK56f1VMRpMMGhkzr3PHYngX/XORQCPEon8uMr6+\nbdc2Ub6g3DZs73z2jtFYeRm17bu3i7F3jxVohBjz+zHihhduMB4Xi2EkEUDChkSA+pxMz4zuadbD\ns8T5D5/vMOjqOLOuzxKDbhnk+lz9jFU9hoTKNauu8TT0iRJTTGphccB0XzLBc6Ab+cbGyLG0twtR\nV5f0Gf7GjRtFU1OTaG5udl7bRJzXVI2OOnN022/CbXYayzlMvLj9RVH1uyrx4vYXja9v2rFJFMwv\nEGiEmP7AdFdjFc2okXFc9t4y1+NM58iblyf+/unfhRBC7D6wW3ztka+J3Qd2i227tonTHzhdioO3\n7rdFwLZd28Slj18q5j8/X7z9r7fFpY9dKupX14tfv/xrEQqFos7EaZzLNy73fK5+jLh6zPQHpgs0\nQuTPz49q6OP9TJnUw+KA6Z4kayYez1hycuTP2trI1+vqzAaZ9sVhxHfs2CGmTJlG/5EFADFlyjSx\n8z//iX3ZIYZxuLm43fbHQiLO4cXy5vAs3ctYeRk1dRbvdZz62ug7R4uC+QW2AR5480CBRoi+N/YV\nsx+ZLQbdPEhkXZ8lLn3sUvH1R78uZiyeIT7c86EUNPMKRP78fHHG4jOE1WgJq9ESZz94dkwemmjP\n1Y8RV48pvblUvPTBS76eebI/UyaxJFIccEAikxoyrWoiBRoeOiSDIdesiQyU/NKXwoGSND4qgETZ\nF9df7zyvKfvCcG+zZ1+ENX99BRF9Hi68OLbAzRizQNyiwRMRJZ7sSPNRA0fhzCqZyueV6uaVEuc3\ndc4rrbOsbxnyAnn4vO1zLH5nMf7T8h+ERAiL31mMEEJ4ovkJDLttGCbfPxkHOw7iYPtBPN78uGd7\nbB11nNGeq58UwPKicrsT5yMzH8HJQ0+OKbCTswd6HykTB5ZlXWNZVsiyrF+n6ppMjCSzDkEgADz6\naGS0f3293J/q4khqKmFHB1Bb60xZrKoKH0sG+JRTgLPOCguEzz8HGhuBuXPlPjLiJ5wQFhCq8e58\njs3NzfjSM014OFSBLMxCRJ+HWbP8p1DGmAXiFg2eiCjxeM8hhHcJ52HFw1A/UT6DaMbKzajFkjrn\nltZ53xn3ofn7zXYvCAGB0YNG4+kLn8Yj6x+RBh0Wtu7eCgGBX5zyCwDe7bF11HHGWkcCcD5LIQQW\nvLIAd667EwBw7sPnRu1+SXD2QC8mXteDnw3AlwC8D+DvAH7tcRwvK6SLNEXRJw0vV7vb8kYgEI6H\n0I+prZW/l5bKGAV6vaZG/rQs+bOxUT6v2trwc6Njq6uFaG8XGy+8UAhAXIerBSCU7QMBQDQ1Nclr\nxhK4mQmxHF2EAube/PRNUXhDoTj81sPFiX880Xa9b/rvJjugbuvOreLLf/iyqF9d77p2HwqFxPzn\n54s5y+aIbbu2ea7vR4vwv+zxy8TWnVvFwrULxfPbnhdohHh+2/Ni4dqFdgAiud1DoZC44YUbxPF3\nHW/vP/cv59quea/gxHie256De8S2XdvEnGVzxPzn54tQKOSIMzjrwbPsJY0jbj1CZAez7eUSjiPo\nWXSrmAMAfQFsBFAL4FkWBxlMsmMCUhWl7yV06uqcgYZ0bTL+ZFxVAaDGJajWXD2GBEJ7e/i4mprw\ndemYzvNfBwhgkchCu3LK+wUAGZzYFWOfziwQogufsWrIzvnLOSInmOMwXm6G7qwHz7IFRPC5oB2x\n/+anb4q8eXliyK+GiDmPzhFFNxWJPvP7+EoH9BrfoFsGiZG/HSkG3TJIFN5QKO5ed7cjFZGOo5gE\nNELkzssVz2993hYgW3duFeP+NE68/a+3hRDxpQhGC0ZU4wy+uPCLYvSdowUaIY6+/eiExxFw6mNm\n0N3EwZ8B3Nr5bxYHmU6yZqCp9kx4CZ329vBGs3wy9qpxb2wMC4NAQL5Gz8VtI+8DeRTo96qq8L+z\nssTUyVNFg1UgHsMJIgtbBXC/CAQGiClTpkUfu9f9RvvckinQ4viMVUNmMl7q60f86ghx7B3HCjRC\nHH/X8eL/nv4/0Wd+H+lx+MOJYvCtg0XB/AJxzO3HCDRCWI2WXTegqyl5pqA/Uyri9t3bxTF3HGML\ng6XvLbXPEQqFxPXPXW8b9NmPzHbUMegK0YIR1YBC+veitxYlzHtBcOpjZtBtxAGAWQDeApAjWBx0\nH5I1A021Z0Kf+aveAjJilMZYWyt/r6oK/15d7TTwBQXO33UvAu0PBOR11N81r0Pb+PEi7EGQ29TJ\nU2W2Ql2dvLb6XGhspgwKv881FQItjs84mvGi1/Pn54vSm0vtyPvCGwrFC9teEKPuHCXQCJETzBHn\n/uVcewb/h3V/SEhKnt/I/Sc3PCnQCPHkhicd+1UPRMkvS+w6Bi9se6FL4/EzLlO9heUbl7supcQD\npz6mn24hDgB8AcC/AIxS9rE4yHSSvXadas8EGeicHPM4VIFAm7qPzldRESkI1OUEPW5h0iR3IUFb\nba1obm4WTU1N4r/f/37YQKtxCo2NkeNtbTXft7rfzeCnIp20i59xNONlv9683PYuHH370bYRWvvR\nWoFGiKrfVTl+elUpFMK/S9xvvIDXcdt3bxdjfj/GXnZYvnF53C54r+upMRVe8RWJglMf00t3EQdn\nAOgA0AbgUOcWUvZZhvecAEBMmDBB1NXVObbFixcn63kyRKrqEKTKM0GzdTLQphmzasTo362tQgwe\nHK59QAZYFwS6sdeFRE2NfC+9Hgg4r1VVJV9XvReqMafxq54PfWw0vtpaIcrKIoWD+tPtvqN9vl1Z\niujCZxzNeKmvm2bnj61/TKARovgXxQKNEAN+MUBkB7PF81uf9zSgfl3ifo1rtOOWvbfMFgdeBZ38\nkmyjH0s8QSIDLhlvFi9eHGEnJ0yY0C3EQSGAY7Tt9c4YhKNd3sOeg3SRKJdzNENChlA3TAkoLGSP\nVxUEZERNVRCFECI72ykM6JiGhvC/29sjsxIAIbKywsfRLJ+uU1Ehnxv9rnoQdDFC41QFgymDgqBj\n6d7o95IS/5+fX+Pdle9FCjInTEaIYgBG/GZEhFchmgHVXeJupZUTOXYSMelwwUcz+Orrm3ZsEn3m\n9xFFNxWJOY/O8RQzqfBOMO50C8+B8WK8rJDZxGuYoxkSMqRk1MiIUNpfa2tiBAoZJVr7VwMP1fOQ\nwVdn/jSm0lIhKiudr9fWOsWALgiysuTPuXPl+VVBomYsBIPOGAQ1ddIkGNQMCkLPnKCYCc3zEwLE\nwuvrnEbg+joRisV4x+JRSpH3ycsIua35R8MurbzevbRyIqCMhb+8/ReBRojntj6X8sj+aN4S/fWy\nW8pE1vVZHE+Q4XRncbCGxUEPx804qPn/Jte/aW3d9LsbZPD1Wat+XvqdrktBhqqRVd3+qmdBTVHU\njasqSHSho4omEjp6nIPpPOp9q0sPhPpel/vfdP0PnUag8TBR+DOIzddfGfF8jX0e9M/VS1BkSK2M\nrrq2/ZZWjhc95XHgzQNjFh+JSB2Mdo/662qnSSYz6bbiIOpgWBxkNhQsF22/myGJZsCjvd9rXH6E\nBxlYtW6BumSgb/qav2606XwlJc7XqL6B+kzUZ0Tv0wWCHiNB5yHU+zF5DghtycDxR/7HxWL79Vc5\nTrv/2mvFywMHiSwY+jyo0Hn14E79s4hlfxLoqmvbT3vqRLF993a7ffIX7/xizOIjUamD0e5RfZ3j\nCTIfFgdM6qEuhVVVkSl21dWRKXZkSCiSXz1PMBh2wdOad7Q1cb+xDNGWLOi6tORAs1o9wFAVGmoM\nACDPQfvpOHo/ZSmYGjnpHgX1nLSRUKGfujAyZVaoMQguwmrdh6/JP/Ifvhbx/KZMmSZysvoLYJGQ\nVRoXiZys/uLlgYMiPTgkXHRB1wNJtjGMV3wkwrsR7R7V1zmeIPNhccCkB33dXP9dP04NvCNjSnUE\n1Nf1WAD9/Q0Nke7q9vbwfnofxQPoHgeK4NcNOWUVmNIUSQSRMTcFJFZWOu+HBEe0pZL2dhG6/nqx\ncCzEnut/JkRjo9iTB7FwLGQsgGqQdXd8a6vz+RG1tUL07eu8jrKU8sb5EyKNQDAo9tXWdnoMFmmP\n4H5xnS6U9J9JCDRMNrG445NtDOMVH6FQSFzz12tsgdGVpYVYMkSYzIfFAZM+TLNdkzDQDZQuFshl\nrkfe61kFavS/KjLIla+68KlokWo49TV+XSDom5pV0NgoPSK6iCgudn+fPm7T0kh7u9g0s1YUNuaG\n3cJXQ8YClFiRyxGm529aspk+3XW9f1vjleKyOohttKTQeZ6NF17Y+cfkA+2WZJ+HjRdcYL6/FMcR\nJIpMquQXr+HdtGOTKJhfIFMiF8efEsl0f1gcMOlFT8UjvALSyJ1vWZGlhclz0NAgc/hVl3V7u8wc\nUF3temEh3YtBhl+dwavjciuBrMcqVFYKMXKkUxiYRAWVViYvgn6drCxj/IHDLfxNiO2lWiVH5Vhj\nwyhdSEVbejEIi40bN3b+MYn0HNh9HtzSHruJMNC9Be989o4oX1Aekzs+U3sHvLT9JbtaJGcRMCwO\nmPQRzXPgN+9dLzWsBun5uaZq/NWNjLhbcKC+dq4KCRXyGpiyCtw8BnTu6mpzbACNQ8liWHf9d6Rb\n+OhiKS5Ug09jmD5dvkYllUkoVFdLAWMqqeyGIZZjypRpIhAY0CkIPhDA/SInq7+zz0M37PZImLwF\nNOP2u97fVY9DKkSFHruQqUKGST4sDpj04DfmwPQe0zKDGhwYzfCYBEJtbaQXYMYMZzDk4MFynV6d\neZMHgsQFBRGqwqS1NRyr4CZO9OdgCjJUOzfqz6CqSrxx4jC57nw4wmMjo09jVM9ZW+uMcyCxEMvn\np2aJzJghWq69VkyZMo3+qIjrAPHywEGi5ZprzOPuhgIhIi2veXnM6/1dCQBMxTKGHruQSUsnTGph\nccCESVXqWGurOVuhsdGcrUBj0N9DBqa0VL6mZw+4oXsJ3Hod6PEAVMK4rk6I/Hx5ncJCeb7GRvnv\nnBwh+vQJlx+m/ZWVzowE2qg2grpsUV0t77O1NeyNUGseBIPOZ9T5HLYVQcYCTD0pMuiRllN0QRBN\nkJlwEyhKcGFzc7PYeOGFDuGQ7poFiUSdYXd1vb8rGQaJrJlg8grMf36+uPSxSx33wk2QeicsDhhJ\nqorO0HWopbF+HZqZu71XiZp31CPQ8/rd0uNUF70pXkCPQdDjAoJB72BCVUjoM//hw83HDh8ejpNQ\nsxnIC6Gek+5ZFwem+AV1n5qmqN9jLH0pon1PopW0Np2vG5KI1MSuniNRNRNi8QpwE6TeB4sDJozb\njDDRrt94r6O7tPV0OFPvAwrEoywEek1NWSTPQ05OZLaCm7fBq1Mibfn50Y+59lqnMNC9GSQsaD8V\nXXLL4Igmerw8B9EMebTX1ViEHiYKiESk5XX1HImsmeDXK8BFi3ofLA4YJ9GCxhL1xz7e4DTVAEXz\neKjeCjVFj45paBBixAjneExljVVjqo4h2tbaKnsk6Pv1ssskTiZNchZTop/0uqlOgilGgUSBmzDQ\nYxAo5qCuzvw8/QQr6p+rvnSkfzYpwLOUczck0fUC/HgFuEZB74PFAROJV7pZIpceonXzczuf7rp2\nW0IwlWEmY6V6K/RCQ3q9BJPRpSUFP56DqqrIxku06eWSdUFAG/2ek+NM5zQZ+T593MdSUiLHo1ZN\npGyFujohWloivStq5oTXZ+wVMJqGQMQdO3Y4giPtUs47dyb92t0J9gowJlgcME6izegTtfTgp92y\nSYhEqxjo595Ug6WXSqYCQKWl4ZbH6gy/rCxsqP0sF/jZ/C5RuAkG9d9qu2a1z4NaE2Lu3MjOkhQ8\nqTdy0itTqp+RipdwJLGR4hTGcFpluJRzIDBAplXGQU9L72OvAGOCxUF3JtHruX4Nf7xLAtF6F+h1\nBPRYAlMdAZPngoyeqU+DOn7V9U1udTLY9fUyhZE8BXqQYKI2uievIEd9U4MjSQBQVgJlPajCoaFB\n3qtaA4HSI/WiS261FbyWF7y+j9G8RAnGV0GmLsLpfUxvgMVBdyXRLv5Yz9fVP/Z+uh56dWXUKx6a\nsh8oUG/6dCEGDRJiwABnjQB1xp2b6wxgbG8PCwCKBaAZfUWF05Cq27Bh3oY8L89caAkIeyDcPAeW\nFek1qKwMB1OahIbqJWlsDN8jiQe3OgqEfm71+ZFHhZ61/vnqdFVMxiF+m5qahFcp56amJn9jcKEn\np/f1NM8I0zVYHHRnEp1d4PePcbyeA692y1rVPyGEs3QweQJUUUCGr6rKmcevz6zJwOvGtLIyvPZP\nm552qBrnxkb3fgpu+1tbI69RU+Oe3hjLZhIrqlBQPzdTsyoSJnpXSrdNXdJRhaNJYOqCQv2Oen3f\n4hS/yfQcED01vY89I4wQLA66P/Ea6q5eL1GCxOSBUAPg9Nl2nz5yf2tr+DUKslOPU2fGptiAoqL4\njXIsG4kGChaknyaxkpcX2xjpXGqQIhl8nZaWyGdFHgt6rurrphROIczpoup+EnpqcKPa16GuLpwV\nYap3Yer/EON3zVTKORExB0RPDuTryZ4Rxh8sDtJFIuMFUrWeG8tszs/9mYSN7lWgTQ2uI0FgMr6m\nWbFas0A3dNEMr1dRpJoad9e+m0Cor3cfj7rphj7aRh4CU9Emeu56PAVttHxCRr2uzr2SIiAzJtRr\n6t8DeiZqKWtqJkUeBNX4UzVIk/GPQ/zu3LkzqdkKPT2Qr6d6Rhh/sDhIB4mMF0i158CP0fdzf26z\nQmo01N7uNHRexjKaITWJALUssdf7TGmM8W4VFbEbf6+tuFg+Q11AqX0eZsyQWQq6qFI3qsBIxl0/\nn+n56QGM9LveDEt9jqYUUXoepu9vnOK3ubm5R9U5SBU92TPCRIfFQbpIhHs+0S7+ROI1Njfx0NgY\nrgdgamuclRW7UVWXFHQXebTMADV4TzWUanBepmwUu6BnVVAGCBVhys42v5+8B/R6Y2P4/mnTRZZb\nyWp6NqpAoOeov0f9TEzGP9Xil7Hp6Z4RxhsWB+kknj98qeqFEA9e92eKcqcAQ5MwiGfLznZmR0Rb\nTlANaE2Ns3lSQ4O/9sup3PSYCmotTWv7FMTp5TWorHSWj1bTRk1CSK/SqHsITB4E+sxN3hrTdyST\nxS/D9HBYHKSbeFym3aFufSz3py4tRBMGXi5vN+MXDIaNXv/+kV6I7GznvuxsZ2XDSZOksaV9tD5v\nup4+6070Ruv++mZZzsJGVC66vd1d0KhiSQ1OJE+AvsQzcWLkNQEZT1FSIs/R0BDpQVDrK6hbLN6l\nrsa3MAwTEywO0klPd5l25f5Ms1RdKJSWho2MyUjqLmuaMet9E2IRGeSunzs3LA5UN3mqtj595DW9\nvADUlKmuLixSqqq830PPVRURutF2EyS6wFDTM031FPRnpqdbqj0xTMQa35JB9LQ+D0zPhcVBuujp\nLtOu3p/bWr4eH1BdHTZIetaAGhNA7Y3JsOXkhMsjq4LBz1ZSImfjFM2fCGMfy9KJn3gLMsxdiYug\n5Qe6P7WUMv0eLTujpMT8fGtqhOjb1xnHoZam1otbueFVZCmD/y9xnwemu8HiIB10s9lOzHT1/tS8\neNNWU2OehZJBo4JIakZEXZ2zLTMZMCAyYC7aRlkU+hi8DLxbAGAyt/x8WfLZVNMg2v0Fg+HPQO3B\nQMY2muBQDT6JGXq+c+eaOz66lb+O5XtF95mhXrhk9XlgmGTB4iBd9PR10q7cH81Sab1bFQqBQHgm\nS8Y4Ozt8TtXoqLUS1GqJai69aYs2i6+oCPcV8EqP9Lt5uen9bnrwJhVQGj5cPgM/tRxKS50eAVUE\n6DUo6uq8lyfoeqbMhq5+L1S8vAQp7t/gl1RUa2SYRMPigMkMWlvlbJc8AUJEuu7V+AC39DndaFRV\nSZHR0CDPX1PjHmdQXx/ddV9S4m1wY2mclKhNv59Y0j3pXtQmVHrZatXY+snSIG+JKZUxEZiESwbH\n7yS7zwPDJAMWB0xq8Zo5qoFwXjN8Eg1kFHVBoM92aT+txycqRVLd6Jx+zh1vq2cSIOR5KCmJvf6D\nWhWRjHdurhRp6rOka6h9L6IFcQYC4ToL9FnoHTfjRRUuGR5zwJ4DpjvC4qCnk0nLF7FUTiRjV1Xl\njAkg41tV5Qyc03Poddey3+C8nBz/MQi0+XHdJ3qjQEtTC2k/cQ6DBkkjr6dcqumGFRVClJUJcd11\n4Wu2tMjAQq9zU6qjbqzVoMN40EVgdXXGx+8ku88DwyQaFgc9mUwMfPQzy1O7MNJsXzfYah49GR29\n+p5+37FkJvjdsrKiC4+CgsQuN1CZ45aWrhdjUkVFZaVTUFRVhcdL6Y30bOfOdQY56p4Sil1w67sQ\nz3cu1mZMGSIMhEh+nweGSTQsDno6mehy9Vof1l8DzIZVbwFMgoAMp54il+p6BEC4W6LJiHptbjN/\ndX9FhUwZjCUbQX1vWVn4vV6eEnW2T0LE6/jaWiFGjgwHbqrEKwzq6uSY9e9LdbX5ehkI93lgugss\nDnoDmRis5dWqmWIFohXtoftQA+DU80yaJIMQ9b4DfrZY4xIoS0B/n7rkEG+zpUmTnBkOatxArIKF\nykJ7NaCiFEOTV0e9T8uSx9ASRWlpOHbBL7F08XSrqMgwTMJgcdBbSGWal5th0IPd9MBB3RC1t5uD\n36jewYwZ4fVwvasfeQrIiBUUyLXyoqLYDWo0o+5njT+RXRjj3SoqnB4Ht+UWta/C3LneyyequFAz\nHuhzNEH7Y1n+ykShyzA9EBYHvYFU/kGllERq/kPU1sr9ZMz9zv7clgOCwfC6Of0kIUE/yWDFk51A\n3ot4ahJcd11iahrEspEnI9rW0CCfs5tXpaYm3NFRFQ1uwkL9HKkEskn06YY/luWvDK1nwDA9iW4j\nDgBcC+B1AHsBfAZgGYBKj+NZHAiRnpgDMs4VFfJ3MiYVFVIg6KVyTTNEr0ZBxcXh/gbFxXKmqjZI\nUgVDrJkH+jZgQPhnTY0zjsDvVl/vHEdpaWTzonRsw4fL51xfH95XVeUsiBQICLFvn/N9dXXh5RL9\neajNmkgUqN85tQKjyVOgCg7Td5Q9BwmD+zwwXnQncdAE4CIARwMYDWA5gG0AClyOZ3GQzmwFPb2P\nfteFAY1PnW0Gg5HBdnPnRp5TbfCjrp/rM9x4Uw1jqUugz8CHDw+n/ulLC+leaigpCQsr8pDQPvV3\nEmle8RSqB8EkRPUlCd2T4FZ4yW/MAeMb7vPA+KHbiIOIiwGlAEIAvuLyOosDIdJb50A3Rl4zQRII\nNKsko1VdLWfsgwebc/rdNjJkZORqa2OL7I9nKaK4WIjCwsj9w4YlxqjT5ke0lJQ4m1TRpgczmmI7\n1OddVRW5xEPPlgQfiQg15sCUfaIHodbVOZtZmQonZWJabjeF+zwwfujO4mAEgA4Ax7i8zuIg2XgJ\nD92QWJb7eUwGRK+CGMvsXzXsVCCnq/UAurrpXgEvsdEVIWJZZgFiOq9bRUOvZ0rVEklEuI2R6hmQ\nkW5oiEwrNAU86ssN9HnT+fTfo33fGF9wtUbGL4kUB1lIEZZlWQBuA/CiEOK9VF2XUejoAM4+G5g3\nz7l/3jxg8GBgzRqgokLusyz59+fII83nqq8HcnOBtjb5MxiU7w8EgGeflT+3bvU/NikOJeeeC/z0\np8Ctt0Z/X3a2/2tEIxRyH5OO12te79m/P3J/cTFQVeU879/+Zj7H8OFATk7k/kBAfhb9+wMHDkQf\n47x5QEMDcNxxwD/+AYwZI89Br7W1hY+trZU/GxrkFgzKz6dvX/namjVAXp78WVsr93d0hMdlwm0/\nE8GWLVs6/zVBe2UiAGDz5s0pHQ/TO0jgX9ao3AngGADjUnhNRiUQAMaOlX/gAWngyUj07SuFwdat\n8o9/fb0UBlu3Ao2N8nf1DzoZkJycsCEhsQBI45CVBUycKMWCHywLGDECmD8feOABYMgQoLlZvpad\nDbS3R96Pvi+TIcEFyOd26JD89/79wAcfOI9zu6+XXgq/T6WjQ76vpcX9+oGAPG7NGrk1NgJvvgl8\n/rn8d1bnXIG+H5MmAZ9+GhZ9dI1QCJg5E3j4YfmZ5+WFReLq1fI4Nv4J46ijjur81wsALlBeeR4A\nMGLEiFQPiekNxOt68LMBuB3AdgDlUY47AYCYMGGCqKurc2yLFy9OuAum12KKHm9pMa8Pz50bXl/W\ng8pofVl1/5NrXm3RHIvrXV3amDgxelGlZDRk8toSUVK5b9+uxTLo144lOFIvnJSb66xWqdeYoKBG\nNShRvZ5X4ywm4XCfB0Zn8eLFEXZywoQJCVtWiOvNvi4ghcGHAI70cSzHHKQKU9651/qw2hNBLXWs\nrkOTIScjFkvxopyccG5+NEHgZiyLi51r7n43P7ERiey1QEbWb0aFmwByK3Kkj5MEmn6f1dVSFOpB\nn4FAZPyIvunxB0JwJkIS4T4PjB+6TUAi5FLCLgDjAZQpW77L8SwOUkFXZnuqQFDf19oa9h6o0esm\ng6vWDdAL/vTpE74GZT+Ytpoas8Eig0jCwq9HgQx1IpssxWPwY9kqK8PP2es+9M9CFV/V1c4aCepm\nqjtB7Zbr6mTqqikTIdU9E3pR0CP3eWC86E4Bid8B0A/AcwA+Ubbzknxdxg2KMQgGgdZW+bOhITJI\nUYUCGQFnECIQXnueOxdYtkyuOQeD5mBEClLLz5fXVmlpAW68UcY2nHNO5Hvz84GaGhlm7EiOAAAf\nBklEQVS/8OyzQEGB8/Urr5Q/d+6U8QlSbEqytK85/T58eDgIcfdu9/uPBzVgUg0kVMfnhWntPjdX\nPu/mZvmcKyrks62tdd5HTo7cp34WlgXs2AGUlMjfQyHgjjvM1/70U3kO+tzUmJJHHpHn0tGDOgk6\nR6LxCrI9++zkXTdNjBw5ElOnTsXIkSPTPRSmpxOvukjkBvYcJJd48s5V97WpeI6OV5VDfdmAZqgl\nJc4iSW5bdbUQEyZE7leXMaK1eo63yFIsm+olieahyM6OLNusxm3QfTU2Oisdur2npsb7s/CqQ0FN\nmWhTYxBMywoUe5KM1s9e8PIGwwghutGyQsyDYXGQfLrqgo1FHNDSgm6U3FzpOTmRxtor2I7KGMez\nFKCeXx8XdT9MpEDwE0ehjomMe2Wls1QyNbACZHloU8AnFTRSn6nps/C6RzpvaamzpkFNjTw/LR3o\nS01qLIr6vUm2oebASIZhcdCt6W7ro3qlOzWQ0TQjpKDC2lpnC2dTkFxdXfSgPJOgyM11n/mPH+99\nvlgqNiZyi+bJMG01NTJgkEo509bY6O35aGz0J270Z6s3vaLPTI8jaWw0F0yi4NZ0GWpu7sT0clgc\ndFe6SzlZU1tetakSGRHdSOjdHVtbhSgrk0Zm8GDnLLeszD0Qzm0rLQ0HI7p5Iby8CX6C9dy2rvZU\n6ErgYWVl+NmooqIrSyF68GZurpz5q+NS/03Xo2vRZ61+5up3xE0IpNpQs+eAYVgcdGsyaX1UbZ6j\n/l5XFzYCND4yFmRsVPexeg4SELSfjqdYAjKyJCBMBs9kiMk41dYmJtJfPUe05Yl4mi3pxtlP3Yfa\nWims1Ot3dZnDrZmW26bGEuhLEapnQK1vYap/kUpDnUn/pxgmjbA46O7EOstJxlIEiYCqqrAhp/oF\nFIhGAWjUAlk1IHQf06dHprTR/ZEB1mehsXZepPO4BeD5EQvqcgIFM9L19cC7ZG2x1F/QRYWpnoHf\njZ6P3jtDNf61tU4PlqnPhnoOqnehf3fV19XvQrIMdXfxxjFMCmBx0BPw63ZN5h8/1eCoQWcmQ6JW\n2FPHVlUVNq40RtWwZWfLcaqV+YSQbvO8vEiBYCpspBs71e1OY/WKyCfDXFkpt7q68HkTXWGxttYs\nAnJy5JhjrfgYS+tpk9GnLTc3PNMvLXV+HmToyXNE3wsK/KTPiMY2aVL48zd9V01LD+p3NdEGu7vF\n8TBMkmBx0N2J1XOQTLep24xUXevW153Vrn50DAkE1TDRv8nIkHuexn3ddfL3qipnEJ1bFD5tDQ1h\nI6SLGHWrqJDXIeNWUWGeFSdqoyBNwClq9GUJ3RPTFQHi9lpxsRRAbq83NobFG3lf1KUh8ijV14fF\nmxCRBaxaWszfJ1O8irqfZ/QMkzRYHHRnumrokxlwpQqB3FyzMNDb8tJ+dY3azVjRv9VjVbc0VVkM\nBuV+rwqJJSVOY6avxetpjjSLJYHgVko4li1aDMLcuU4PgZtXQz+PHy8BGetoAofuX12KAcKxHzU1\nkWWw6XtGaYpurbdpDNFm7BwLwDAphcVBdyXeJQKvpYhYXav6H3C3rbo60oDoSwTqPq/z6LNHmn2q\nrmwy/H4C5xobI1MEg0HpkRg0SM6MyW0uROqaNPntDaFv0YIV1aBQiheh556TI++zb9/wskZFhTmQ\nkYJB1QBCU4ChEO4BjeS90b/LVEY7WjYDwzAJh8VBdybeIkRk4PQAQJO4iCZGVMNhijnQq+Gp71H/\n2LsVPaKNCu6o4yLPQWtruOOjW5S8urnNrtXqfaY8f93I6b0dkiEcohl70zW9ujU2Nkrh0bevEPv2\nhWtKqGmGLS0yQNRLXJk8L7TEoH9OM2Y430vvoZRV9btIv1OQK0HntqzIDJlY/g8wDOMJi4Pehm6k\n1T/y0Vy1bq5dmuGZshX0CngkPNxS13QxoW6q65wMOHUBpDoJtIwQDLob1GjGjpg7Vxouvd2wuvXr\nJ4wCwbRFK+dM49KDEGMRG/q91dZGiht6RnQsxS3Q73oFQy8xQkGZ5DEg4x0IRIpMPWuClpfUUsmq\nQKmocH7n9OUPtywHjkVgmLhhcdCbMM3+6Y+vHuBneq96vFqXn17X6xy47Ve7L6r7q6rkRtkDpo6J\nplRBMkzqkoKXsPDaSNyQgaGx+KkN4Cc4UO9boG8lJc4Sx13ZSkrkRtfSlyYqKtzbJ5PBVl3+uuAg\njwt9FmqQpn4u+uzJsNP51RoX6vdKFx+mOBR1X7pKLDNMD4fFQW/DNJuKlgqpiwo63jQ79HN9Mrrq\nOSl47brr5GxdbaBkMjy0qcGMhG74KKDOb+Cgmk7pJThi2Soq/IkH1Yh29VoNDXLcLS3RYxaqq91L\nH9fUuI8jWkEk+gyojfPgwU4hUFcnjxk8WIpFISKXgPQCSPp31Gt5imGYuGBx0NvxG+Slz9T0zIOu\nXFM3hPSTBALNPPUYCZNBJSiQzk1EqBvNrN1EA7mtE9110ct7UFkpvSfxNIIqKQl7bPRsDf0Z0jM3\nCQQqYU33rz6vwYOdRlv1zJBobGwML0s0NDg/++rqcHaJEJHjMMWemL6jJEy5FwLDJBQWB72ZWNPD\nTMKgqzM1PWBQ9wDQbJCWHqJlMFDGQTRBoG8mr4LaZdDPOdw2k5gJBGSQn+n47Gz5Go0pnmvr6/nR\njnV7prSson9HyLOjj1EXjaZui3p8ix7MSq/poswUF+N2foZh4oLFQW8l1lRIOl5PPfQ63u26hJ46\nqM/6yGjoRtY0q6Zj1NQ7QIiiIudxppQ8U7OgYNDcDyAWA60bPrqOvuzh1f8h1q2kJOyuVw17tJbX\neuVCdVlAb4pFYmLuXLP4MIlGdWavx6/QNdUYFDpHZaWzXoWe7UKeCY45YJiEwuKgNxNrGpjb2m60\n0rcE/VFvbY3uOSBUIxYMOoPf1GwFk6Fzc817refrAXB0fZMXQE+FVLMMqH4AzbArK+V9k9GlgkI0\nlkT2ZAgGZbyBWgzKJAxMSwzq51xbG+53oWei1NSE4xn0zoyqATfN7GlJQQhz/Ir6/dGFRFWVM9tF\nPZf+PeNsBYbpMiwOGH/EugShGhj1eEpvVA2j/lNfWiDDQzPsiorIlEh960r3Q33ZpKTEadBpy8kJ\np0lmZ0fGEJSUCFFYGBYLJSXhegkUbFlYGDZ0wWDXix3pBl/N3Ghvj8z8oHt062ypft4k5HS3v/p7\naWn4GvQc6L5UEUjxBXrKqvq81dgRk2E3LR9wnQOGSQosDpjodLUao1uMArmqVe+C6irWUwiFCJ8j\nKys8Jt3weBVOcjOqNPsn40nGMhBwio+KCrOXYu5cZ5dGvcRwQYHTmKo1E3ShFUvgo36vra1h1zs9\ns3375HEFBeHiUEKEPSoTJjiftf75mpYS3ASVLujUyoskKKjYUXV1OHNDX8bQvU36WDjwkGFSAosD\nxh9dnaHpRkyd7al9ENRzUeqb3qpXTbFTBUsw6N0gCPCO/i8pka5zcu2rFf7UTpGmEst+Nj0Vj2bX\n113nLBgVTciYzqcaadX13trqFDPUKEpteV1XJ4/TC1T5/Sx1gUfQvZBo0ttqk3DQu3OSgHBbjuKU\nRYZJGSwOmOSh1wdQWzTrx+izaF0Y0Os0wySBoF6DjI9X2WDT5hUxb/rdNHu3LG/DrjahsiwhfvYz\nYYuWlhb3SoTRhE5trbOioak2gNtGXgx1GcLvZ0nPRRd4hMkTowoFfb/uedC/D1zsiGFSCosDJjnE\nUhfBLRXNbTmDZqRkYKqrw8YoNzfcJ8Dvps6A9dmpHgBHr7lVGDRtJtEQDHp7M/RyzHpcQ1GRUxQU\nFEQaXK9x6v0udFShYBJ5JuGkG25TtocQziBU9Xj9/WoVTi6TzDAphcUBk3h0Vzn9UaffTevKbmvJ\npvLLagMfig3wa6z1DIOKCunibmiQP6dPDxtZSrtTCyvpM/KqKu9r6wJg0iSnMdSP9yqQpGYIAHLM\n+rUpCJLG6RboaMocIHRvQl2ds2qk+lmqQZXqeXVRqC4Jqb+rgkA19Pr3gQMPGSalsDhgkoObu5lm\ngWrvBTIsan8HNYVNbdsrhHdJX6/6AG6GlwxobW3YCOqV+siQtrQ44xvmzpXjc2vyVFkZWUehpUXe\nl1690DTGkSPD/66q8u8V8VN+OTfXXxZKa6sUTabPcvr0SIOuLyGYYg5M1+LWzAyTMbA4YJJHtNke\nNVsiA6DOpNUGTOrs1k9kv5tAIBFAhYL0WbkqMtTXyNugLz+QSPASJDSTV2sLqBkLbm2jaZs0Kbyk\noYon3YMRraGTOgZ1U587nUM3xmorbBVVuOkCr6bGGTBaVSXEoEHh/W7iL9aUWYZhkgKLAyZ96C2W\nhYic8apr43r2gFsAoL5fbS+sph2aRMV118lx6K/ps93aWmnU9HoKXu2d1a2yMrowoCWJysqwZ0Kd\n7etG3qtUst4Gu6TEKczUVst6vIGaKWAy2qZ/68+CvAx6bQJVHHQ1ZZZhmITD4oBJL6b1alPVRN0g\nqil5gHuFQao7QMd7Ge78fGmEqECQLi4oVoK8DLoIGT7cWZXQlPpncvdHWwKge9C9A1VVzve6xT7o\nqZ+NjeE0RprVq8+ypMRs9EnI6UWI3NqAq22X1f1eXgGOLWCYjIDFAZMZ6MJAD2xT3eh65gMZGTLq\nenlgcmWrtfijbTSrp2vRLF430NRIiV6nMZiWPajLpHoOKhscrTUyvZdiEKhuAd2/WrrZJDj0Gbub\nG9/0PvUYU+BoLG3AOZ6AYboFiRQHWWCYrjBvHtDWBgQCQEcHUFsLtLYCwSCwZo3c39Ymj83NlceU\nlACTJsl99fXyPdu2ASNHAocOyfcIIX8edhhwwglAVhawcSNQVQVUVHiP6eBBec72dnns7t2AZclz\nW5Y8xrLkWNaska8XF8sxAMDWreFzBQLy55o1QL9+8hxERwfw1FPyNRNbt8pxrF4tz7N+vbzvrVuB\n+fPD5zhwACgokPcWDMrja2uBvn2Bykpg7VrneelZr1snj6+vl/vpOsT8+UBDgzwGkJ9Dbq78OW+e\n8/4I+jz14wB5Hdqfmxu+LsMwPZd41UUiN7DnoHugrkl7pT+qM1m9YJEeu6Dn2asdBoPBcKCj10ae\nAJrh6m2U6fdoFQ0ty/0+3JZK9PerAZxq4yN1fPTehobI59rS4t9dr8/s6d9+AwWjHceeA4bpFvCy\nApM+9PVq1dWtBsEVFkYW7amtjaw9YCrIozaA0o2eXoOAgv709sX0c9IkuVavZyAAkT0V9KUHQMZF\n9OkTjl1wCyDURQItKehdFt1aSqvPo7ZWliRubY3+ebgFFgLhHgn68XpaqldAoVdQI8MwGQWLAya9\nuM1o1ToJqlFRA+PUXgdUsMjLOKlr/WSA9eyFiRPle+h1eo/+O21uKYR6/ANlAZCRVrMegHCaJQmW\n2lp5f2pfB3pPVVWkgKiocBY8ys111hnw8zmoqYem520y4qZ23dE+T9NnwwGHDJNRsDhgMhdTCV+T\nl8DUwlc3NnpZ5L59w0aTPAaWJWfZtOxALnp9pq7O2L16GJABp3RH8hjohtK0DEJQAyW9EqG6kQBx\nC4L0+6xN6YS0r6tG3BQE6fVvhmEyAhYHTPdB9RKQkaT2z/psd8aM8CzdzZ2tztzJME+a5N1IiIRE\nba27MFDjC3SB4dbJUM3S0FHvrb3dHOdAHgd9qcKPyz7a8o6b4Ir1vOr9sLeAYTKabicOAFwBYCuA\nAwBeBfAll+NYHPQkdC8BrYGrMQVqzn5trTRALS3SG6DPoFXjrpf71Q03XYNm9KZYAUotpHGWloZn\n++o9mNbedYFiMui6d0HdVI+DHvhYUuLPCPsNOIyVZJ2XYZik0q3EAYDzARwEMAdANYDfA9gJoNRw\nLIuDdJLIYjbRDIyp86P6Oi0T6O+vqoqcsbsF2ZHnQA/Wq6x0vkbnoCJDbvevG3u9ZoPJeKrCQBcB\nalMmOlcsMQfqtROdScAZCgzT7ehu4uBVAL9RfrcAfATgJ4ZjWRyki0S6k/2cq709ckZNLnh9tq4a\nKNM+uqY6RooRIGOr9g9QKw3qoiLafaoli6M9J1OGgh4wqMZREKZsBS/h5la8KF6SdV6GYZJCtxEH\nAHIAHAIwQ9t/H4BlhuNZHKSTRLqTvYyZ2rxJDdBTlxjomqaYBdP4vEoC6658iiFQgyHpeC8hROdz\na3ZkCsZsbDT3oyARpHZIVNGFgZvYMpVHTgTsOWCYbkd3EgeHAwgB+LK2/5cAXjEcz+Ig3aTCKOhG\nWw/W040/jUXt9Kieiwy6m3hQN9NSgOm9QpiNPb2uxyCo7zEZc7fsAb8eGa9745gDhmFELxAHEyZM\nEHV1dY5t8eLFyXiWjIlkupPJcKrr72oGQVaWPC4WA+WVPql6DPTgQVNbZTqfvgSiZwbU1YUDKE2t\njP20vvZ63YRbgKd+TDxZBZytwDDdgsWLF0fYyQkTJnQbccDLCt2NVHgO1JoBujAAhJg7191AkfHV\nUffRObOyIqsskkGnMXjFA7h5EdRlAsqSoOdWXR3dgMZjgPUCUm7njwfussgw3ZJu4zkQwjUg8UMA\nPzYcy+IgnaTSnWwqDqQGHOqpifSeujp/Swuq6NDvh86tZ0yYljbcUMduulY0Q9qVZ81xAAzDeNDd\nxMF5AFq0VMYdAAYajmVxkC5S7U5WZ9pqqiH92+2aXkZVjyPQgxvV+9H7N+gVFP3gVrzIa/zRKkhG\ne14cB8AwjAvdShwIafQvB7CtswjSKwDGuhzH4iCdpMqdrAoRt2yBWNbe3bIV3IIA9VLI6syfgiP9\nGF2T50MXKG73TdC11U6O+nuiCTe3Bk28DMAwvYpEigNLSKOcEViWdQKAN9544w2ccMIJ6R4Ok0w6\nOoBAwP9+nbw8oK0NyM0FWltjPyftmzcPaGgI729sBLKy5L5gEKivN19ff59KMCh/rlsHPPqo89r0\nPjpGPUdtLbB6tfNYOgdgvre2NmDmTGDsWOdY1ff6eZ4Mw3R73nzzTYwZMwYAxggh3oznXFmJGRLD\nxIibwfJjyObNCwuDtjb5e6znVIVBVZU01sGgFAeA/Pe6dVJE6HR0AA88ED6ODD0AWBYQCsnzjh0b\nee36enl8Q0NYGASDUhisWQOcckr4HtVzuN1bbq48pqEh/Bz09zIMw8RKvK6HRG7gZQUmGolae49n\naUMPjDTVU/AaT3t7ODNDjW/QMytiuScOVmSYXk+3iznwPRgWB4wXiQ6ajCfGQu+3oKdldjXrIJ4a\nE1zumGF6NYkUB7yswHQfAgG5hq7HAdTXd21tPZ6ljUBALi+sWxdeVqClDkAuO5iWJNSYg9bW8BLD\nvHnuyyV+iOe9DMMwGiwOmO5FPAY90ZBYASIN/saNwI03Oo9XxQQJHIpBWLzYXTREw0twMAzDdIHs\ndA+AYTIaPxkQJoNP+9XjSEzo5/vZz4C1a4HZs6OfwzQOv9dnGIbxCacyMplJvKmOiRrD2WdHTxNM\nxFi9zgF4nz8TnhXDMGmHUxmZng0ZZd0tPm+e3G9ay08GgYC/NMFELHV4HRvtWWTSUgvDMD0CFgdM\n5uHXKPvFTUz4ERlqXYK8vOjFkRJNop8FwzCMD3hZgclcyAhSBH4wKNfnY3Gh+10aiIapImMqMT2L\nVAkUhmG6BbyswPQO6uvDxjA3VwqDWJcbEjHzzoQ0Qf1ZsDBgGCaJsDhgMhfdKN94Y9cMfTxLA5mS\nJpgJAoVhmN5DvFWUErmBKyQyhJ/WzLGWCo61gmCq21i7we2aGYbxQSIrJHKdAybziJa7/+ijwPz5\nsbnYTTPvaO9zq0tQX5+6NEGuY8AwTBpgccBkHtGM8o03xmbo1aWB+npnu2U/AiGW/YkmEwQKwzC9\nDhYHTGbiZvRuvDE2Q98TZt7pFigMw/Q6WBww3YeuGHqeeTMMw8QMiwOm+9BVQ88zb4ZhmJjgVEam\ne8GGnmEYJumwOGAYhmEYxgGLA4ZhGIZhHLA4YBiGYRjGAYsDhmEYhmEcsDhgGIZhGMYBiwOGYRiG\nYRywOGAYhmEYxgGLA4ZhGIZhHLA4YBiGYRjGAYsDhmEYhmEcsDhgGIZhGMYBiwOGYRiGYRywOGAY\nhmEYxgGLgwxlyZIl6R5CxsDPQsLPIQw/Cwk/hzD8LBJLUsSBZVnDLMv6o2VZ71uW1WJZ1ibLshot\ny8pJxvV6IvxFD8PPQsLPIQw/Cwk/hzD8LBJLdpLOWw3AAvBNAFsAjALwRwB9APwkSddkGIZhGCYB\nJEUcCCGeAfCMsmubZVm3AvgOWBwwDMMwTEaTypiDYgA7U3g9hmEYhmG6QLKWFRxYljUCwPcAXBXl\n0HwAWL9+fdLHlOns2bMHb775ZrqHkRHws5DwcwjDz0LCzyEMPwuH7cyP91yWEML/wZZ1E4Cfehwi\nABwthGhW3nMEgOcArBFCfDvK+WcDeMD3gBiGYRiG0blACLE4nhPEKg5KAJREOex9IUR75/FDADwL\n4GUhxNd9nn8KgG0ADvoeGMMwDMMw+QCGA3hGCLEjnhPFJA5iOrH0GKwBsBbARSJZF2IYhmEYJqEk\nRRx0egyeB7AVwCUAOug1IcRnCb8gwzAMwzAJI1kBiacBOLJz+7BznwUZkxBI0jUZhmEYhkkASVtW\nYBiGYRime8K9FRiGYRiGccDigGEYhmEYBxkpDnp74ybLsq6wLGurZVkHLMt61bKsL6V7TKnEsqxr\nLct63bKsvZZlfWZZ1jLLsirTPa5MwLKsayzLClmW9et0jyXVWJY1xLKs+y3L+m/n34W3LMs6Id3j\nSjWWZWVZljVP+fu42bKs69I9rmRjWdZ4y7KesCzr487/AzMMxwQty/qk87n8tbMAX4/D61lYlpVt\nWdYvLcv6p2VZn3ce82fLsg6P5RoZKQ7gbNx0DID/g+zLcEM6B5UKLMs6H8CvAMwFcDyAtwA8Y1lW\naVoHllrGA/gdgC8DOBVADoCVlmUVpHVUaaZTJH4L8jvRq7AsqxjASwBaIWuhHA3gagC70jmuNHEN\ngG8DuBzyb+VPAPzEsqzvpXVUyacQwD8g7zsiWM6yrJ9CVuL9FoD/BbAf8m9nbioHmSK8nkUfAMcB\nuB7ShpwFoArA47FcoNsEJFqW9SMA3xFC9EglSFiW9SqA14QQP+z83YLM+PitEOLmtA4uTXQKo38D\nmCCEeDHd40kHlmX1BfAGgO8CqAfwdyFEtHLkPQbLsn4B4CQhxMR0jyXdWJb1JIB/CSG+qex7BECL\nEGJO+kaWOizLCgE4UwjxhLLvEwC3CCEWdP7eD8BnAC4WQjyUnpEmH9OzMBwzFsBrAIYJIT7yc95M\n9RyY6PGNmzqXTcYAWE37OotHrQJwUrrGlQEUQ6rjHv35R+EOAE8KIdakeyBpog7AOsuyHupcanrT\nsqzL0j2oNPEygFMsyxoJAJZl/Q+AcQCa0jqqNGJZVgWAwXD+7dwLaRB7899Ogv6G7vb7hpQ0XoqX\nGBo3dXdKIetA6IWiPoN0C/U6Oj0ntwF4UQjxXrrHkw4sy5oF6SYcm+6xpJEjIb0mv4JcXvxfAL+1\nLKtVCHF/WkeWen4BoB+ADZZldUBO8n4uhHgwvcNKK4MhjZ/pb+fg1A8nc7AsKw/yO7NYCPG53/el\nVBzE0bhpBYC/CCHuSfIQmczjTsi4k3HpHkg6sCzrC5Di6FQhxKF0jyeNZAF4XQhR3/n7W5ZljYKM\nRept4uB8ALMBzALwHqRw/I1lWZ/0QqHEeGBZVjaAhyFt6+WxvDfVnoNbAdwb5Zj36R+dZZjXQM4a\nPTs69hD+C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tsPBgITKiMjg5NVoaUddQh4qzFai+XI1oYzS3BCqJ6tF+j2Jh+kIAwIwhM7DYtBjRxmhk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\n3RpcN7xjYPQMm13oRddTp+SYnp5Q20ZHquguUvTp02J3LvjTvQ8TBl1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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -191,21 +228,21 @@ ], "metadata": { "kernelspec": { - "display_name": "Python 2", + "display_name": "Python 3", "language": "python", - "name": "python2" + "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", - "version": 2 + "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", - "pygments_lexer": "ipython2", - "version": "2.7.12" + "pygments_lexer": "ipython3", + "version": "3.5.2" } }, "nbformat": 4, diff --git a/ch04_classification/Concept04_softmax.ipynb b/ch04_classification/Concept04_softmax.ipynb index aa016f2..149237f 100644 --- a/ch04_classification/Concept04_softmax.ipynb +++ b/ch04_classification/Concept04_softmax.ipynb @@ -2,21 +2,30 @@ "cells": [ { "cell_type": "markdown", - "metadata": {}, + "metadata": { + "deletable": true, + "editable": true + }, "source": [ "# Ch `04`: Concept `04` " ] }, { "cell_type": "markdown", - "metadata": {}, + "metadata": { + "deletable": true, + "editable": true + }, "source": [ "## Softmax classification" ] }, { "cell_type": "markdown", - "metadata": {}, + "metadata": { + "deletable": true, + "editable": true + }, "source": [ "Import the usual libraries:" ] @@ -25,7 +34,9 @@ "cell_type": "code", "execution_count": 1, "metadata": { - "collapsed": true + "collapsed": true, + "deletable": true, + "editable": true }, "outputs": [], "source": [ @@ -37,7 +48,10 @@ }, { "cell_type": "markdown", - "metadata": {}, + "metadata": { + "deletable": true, + "editable": true + }, "source": [ "Generated some initial 2D data:" ] @@ -46,14 +60,16 @@ "cell_type": "code", "execution_count": 2, "metadata": { - "collapsed": false + "collapsed": false, + "deletable": true, + "editable": true }, "outputs": [ { "data": { - "image/png": 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DJN5rDJNXUIj+FqLykTgQQmRNOuPkduPn+041Uy6FO+Ew0pHaBtndz8DdoMg7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\nYII=\n", 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MDSSQzMSrXnl677J7GVVXKclkEslksrBGvI4E5heArwE4DuBXAP4VwB8A9FocV+yBjVQ4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\nfcQuImyD++XzfpE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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -81,7 +97,10 @@ }, { "cell_type": "markdown", - "metadata": {}, + "metadata": { + "deletable": true, + "editable": true + }, "source": [ "Define the labels and shuffle the data:" ] @@ -90,7 +109,9 @@ "cell_type": "code", "execution_count": 3, "metadata": { - "collapsed": true + "collapsed": true, + "deletable": true, + "editable": true }, "outputs": [], "source": [ @@ -109,7 +130,10 @@ }, { "cell_type": "markdown", - "metadata": {}, + "metadata": { + "deletable": true, + "editable": true + }, "source": [ "We'll get back to this later, but the following are test inputs that we'll use to evaluate the model:" ] @@ -118,7 +142,9 @@ "cell_type": "code", "execution_count": 4, "metadata": { - "collapsed": true + "collapsed": true, + "deletable": true, + "editable": true }, "outputs": [], "source": [ @@ -138,7 +164,10 @@ }, { "cell_type": "markdown", - "metadata": {}, + "metadata": { + "deletable": true, + "editable": true + }, "source": [ "Again, define the placeholders, variables, model, and cost function:" ] @@ -147,7 +176,9 @@ "cell_type": "code", "execution_count": 5, "metadata": { - "collapsed": true + "collapsed": true, + "deletable": true, + "editable": true }, "outputs": [], "source": [ @@ -169,64 +200,69 @@ }, { "cell_type": "markdown", - "metadata": {}, + "metadata": { + "deletable": true, + "editable": true + }, "source": [ "Train the softmax classification model:" ] }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 6, "metadata": { - "collapsed": false + "collapsed": false, + "deletable": true, + "editable": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "(0, 109.8612)\n", - "(100, 8.4266253)\n", - "(200, 4.1666403)\n", - "(300, 2.5741928)\n", - "(400, 5.6903338)\n", - "(500, 2.9353881)\n", - "(600, 1.6648874)\n", - "(700, 4.9623308)\n", - "(800, 2.4428787)\n", - "(900, 1.2617326)\n", - "(1000, 4.5366726)\n", - "(1100, 2.1555078)\n", - "(1200, 1.0235859)\n", - "(1300, 4.2308006)\n", - "(1400, 1.9637032)\n", - "(1500, 0.86320722)\n", - "(1600, 3.9904327)\n", - "(1700, 1.8258355)\n", - "(1800, 0.74666834)\n", - "(1900, 3.7922473)\n", - "(2000, 1.7217202)\n", - "(2100, 0.65765113)\n", - "(2200, 3.6239059)\n", - "(2300, 1.640166)\n", - "(2400, 0.58721226)\n", - "(2500, 3.4779611)\n", - "(2600, 1.574424)\n", - "(2700, 0.52998352)\n", - "(2800, 3.3495052)\n", - "(2900, 1.5201629)\n", - "('w', array([[-2.39018393, 0.14575171, 2.2444303 ],\n", - " [-0.73883575, 2.14113855, -1.40230107]], dtype=float32))\n", - "('b', array([ 10.65149117, -2.70550704, -7.9459877 ], dtype=float32))\n", - "accuracy 1.0\n" + "0 109.861\n", + "100 11.1746\n", + "200 7.66511\n", + "300 6.14837\n", + "400 7.36667\n", + "500 6.21197\n", + "600 5.20238\n", + "700 6.67839\n", + "800 5.75361\n", + "900 4.70638\n", + "1000 6.39738\n", + "1100 5.49439\n", + "1200 4.38705\n", + "1300 6.25161\n", + "1400 5.32159\n", + "1500 4.16287\n", + "1600 6.16709\n", + "1700 5.19838\n", + "1800 3.9968\n", + "1900 6.11495\n", + "2000 5.10726\n", + "2100 3.8689\n", + "2200 6.08159\n", + "2300 5.03829\n", + "2400 3.76737\n", + "2500 6.05979\n", + "2600 4.98517\n", + "2700 3.68479\n", + "2800 6.04543\n", + "2900 4.94369\n", + "w [[-2.54555464 0.36140779 2.18415737]\n", + " [-0.09027337 1.47717059 -1.38689983]]\n", + "b [ 10.06975937 -2.41784143 -7.65189791]\n", + "accuracy 0.966667\n" ] } ], "source": [ "with tf.Session() as sess:\n", - " tf.initialize_all_variables().run()\n", + " tf.global_variables_initializer().run()\n", "\n", - " for step in xrange(training_epochs * train_size // batch_size):\n", + " for step in range(training_epochs * train_size // batch_size):\n", " offset = (step * batch_size) % train_size\n", " batch_xs = xs[offset:(offset + batch_size), :]\n", " batch_labels = labels[offset:(offset + batch_size)]\n", @@ -238,27 +274,27 @@ " print('w', W_val)\n", " b_val = sess.run(b)\n", " print('b', b_val)\n", - " print \"accuracy\", accuracy.eval(feed_dict={X: test_xs, Y: test_labels})" + " print(\"accuracy\", accuracy.eval(feed_dict={X: test_xs, Y: test_labels}))" ] } ], "metadata": { "kernelspec": { - "display_name": "Python 2", + "display_name": "Python 3", "language": "python", - "name": "python2" + "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", - "version": 2 + "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", - "pygments_lexer": "ipython2", - "version": "2.7.12" + "pygments_lexer": "ipython3", + "version": "3.5.2" } }, "nbformat": 4,