{ "metadata": { "name": "", "signature": "sha256:5dfef439be96d950d4732b233304f54d11a3e8339daa16cf298e9b01862d2464" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "code", "collapsed": false, "input": [ "# Compatibility with Python 3\n", "from __future__ import print_function # print('me') instead of print 'me'\n", "from __future__ import division # 1/2 == 0.5, not 0" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 1 }, { "cell_type": "code", "collapsed": false, "input": [ "# Show figures inside the notebook\n", "%matplotlib inline" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 2 }, { "cell_type": "code", "collapsed": false, "input": [ "import numpy as np # the Python array package\n", "import matplotlib.pyplot as plt # the Python plotting package" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 3 }, { "cell_type": "markdown", "metadata": {}, "source": [ "In the same directory as this notebook, you will find a file called `camera.txt`. It contains the pixel values for a picture, and it's your job to find what picture that is. The file contains a single floating point value per line. Here are the first four lines of the file:\n", "\n", "```\n", "0.6118\n", "0.6118\n", "0.6196\n", "0.6275\n", "```" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You will first need to read in the file as a list of floating point values. You probably want to start something like this:\n", "\n", "```pixel_values = [] # empty list\n", "```" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Read lines from file and convert to list of floats\n", "pixel_values = []\n", "fobj = open('camera.txt', 'r')\n", "for line in fobj:\n", " pixel_values.append(float(line))" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 4 }, { "cell_type": "markdown", "metadata": {}, "source": [ "How many pixel values does this image contain? (Call this number `P`).\n", "\n", "The array that forms the image is two-dimensional (it has a number of rows `M` and a number of columns `N`). If we got the right number of pixel values then `M * N == P`. That is, `M` and `N` have to be _factors_ of `P` (the number of pixel values).\n", "\n", "We don't know what `M` and `N` are, we will have to guess. Given the number of pixel values, what would your guess be for `M` and `N`?" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Guess M, N\n", "P = len(pixel_values)\n", "M = np.sqrt(P)\n", "N = M\n", "M, N" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 5, "text": [ "(512.0, 512.0)" ] } ], "prompt_number": 5 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Next we want to convert the list of pixel values to an array (that forms the image).\n", "\n", "Convert the pixel_values list to a pixel values array, and reshape it to your guess for the shape `(M, N)`." ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Convert list to array and reshape\n", "pixel_array = np.array(pixel_values)\n", "pixel_array = np.reshape(pixel_array, (M, N))\n", "pixel_array.shape" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 6, "text": [ "(512, 512)" ] } ], "prompt_number": 6 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Show this as an image using matplotlib's `plt` module:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Show image using plt module\n", "plt.imshow(pixel_array)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 7, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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FLEMbgxcC5QxCepLa4VS4njaGRicIGfQlyldYNRVYQ9aM0cIgPDQqsCwNGR07\nIa0M425Bq8PreCHiemmStqVJ8vjn68gXhcrPo0hdQyVzjFIoHPjAsCQizFG0UcCmnEELw1j02MUV\nbuMUHjjG0XA/vINcBsYiA3owYMg8a6zLefqMWOI6BRXLrPBWnkTljmO7jtJlzIgg9Oownqlnx3TJ\nqNERX1hjYSayG9PlCC8jo2P2GAdKkR14JMc5EhWQgls5Q07Jdq5FUV/gyOZZZ515FlnlMCcwaF7m\nDm6wxDLX6DKOoKmbzRkd5iTrzHM/X+d57qHLmBbN9/JZvsJD9BiRU1KTs59z/PLV/57Bjk1u4xQP\n8jjPcS8nOExGw2FO8i/8z5KLkh/md7jKdp7nntflozctOOQEObJE0xDUjdMFq8jpMWJCN/DT3qGt\noy9GOClIEdQiIN1C+CiYCoq2bjtmknTQtHT8BBwYpckmliZpY0shSVwFEpK2DeW/jvRgWZE00ala\nF7JxFuYOCuPJhy5gCwpsAn4Z9PshHYPtgG59CAwAPlQQ0kOVJ+i6RSoQdQgEMuivoEMIFBZcBnoN\nyCPOGX/mhUBZh1OSpHKY7LXxah2xSpPEaUshaDOJtI6sbJHWMemHWYTM1vTGNZv9DtMZkzYNgKEw\nIVJN6eNSFcgkjCtrZ0AG4ZQTEuk946SHxJK7OoCdpsLoMFrtRMBhvBQo57BSYkUAy3Jf0YiUblRt\nJrRI71gUqxSUHOAs+8156jROR3YMzn/T8FULm/TJIzgocWwyh8QzxwY/wm/zPfwxX0z/GkP6XGAP\nXcY4JOsRXHTRjU0UQoXJ0BqFm83cTMV1Aza5wk4ymlnlsZtL7OIyKyyzydz0dgeFLZaGlN1c4jhH\nUDjOsZ+9XOAGSzOp/Uf4ozgTk1CRM886X+C7+Fv8J/ZxgSvsoMsEj+AwJ1lmhVc4QJcJV9iJzxxz\nbGDQXGM7X+YhHuLL7Oc8S1znH4r/ld1c5CwHGNONqp9v325acEjiokw1CQaN84pa5LMhoiBB7bLN\nrpLUoXIIfWI2E7yEybopfNRitCJzNXnZ4oUP0mMUo7mMViSkvqYSOYmokc7RJglOiaACbAxp4zBJ\nwAfA06aSOkvob9Y4BbIFkwXQ0SpINyAKM3C9gBfo0obn1+ExJlEkjUF6AmWZQZsHdoIMmIRrCAll\nIUmlI5mAnFYWOgii1pcy5m/UIMFaAv7SVrQ6wWZhBDxzUGdJlH4T6FAf1JXSO7wStKkII+AiOOZ0\nejT1oT3nBDW5AAAgAElEQVQZyTAYtdiuhcDpLQhPahuM0jQqnQmeEm+C03sXK5SgD8lsTdIYOpRY\nFdqzaVZN2jYMkqWaRqQoYZHesZ2rvIWn6NshO57c4K53vcjz3IvqO1wOlMyC6T08zwM8wxV2chsn\n+QZ3s4vLLHEDjaHPkLfxBNu4zm/xIwFjioKnIp73UVBxlXSmZ2jRrLLIiB6vsp8lVgMlzhoNCfOs\nU1LQZTyb2CwpGNHlAGfZxnUmFBTReUtydnKFOTZmWpwdXOUCe1niBiN6PMv9WBQZNbdzghE9fpW/\ny8vcwcN8kf2c425e5HF6MyzlOEf4MJ/lu+c/x22cZIVtvMotOCQrbI/0bsp/xy9RkfNJvp9VFvkI\nf/S6fPSmiaAckn4bAJKEsIk2RZ9t5jrAbGy6x5hWK9b7fYaqH2cH7EzEktsgEZ6eWaCsI69qrIay\nkwWH8TULF2vmh0MSY8hd7DOloFEpWd0EbMH7sLEnkGxAvhEcWxuLrkFuAhZUC00ObSbxBTAP5JCs\nxtmISLc12197vyYNw0s0QA3ZGgFsbAEP7UJoObqrjqSGthNozLYTXqvqBFly1REM5xK8hP5kFCKA\n8GhjkfY1bYRwUwFVmAaFQOUK77FaBbm3q8ltxeV8JxaNNpbEtHT9mG3tDYqyjSyMxQuBjRLtxDWh\n0sAhnaUVCV6Eqsl7QWaD8Ksu0tBWRWYltQ2JNYzSHnWWkLSGjIrEtpQygKDvWn+SebVGdbfmdk6y\nn3PYdQVXw9pTAavwLPfz23yCT/FRHucd/Bo/zqf5yKxKaMh4lvs5xlE0hm1cp2DCLi7TZUKX0Sxj\n9xjGQ3+CJLvLmHk2mI63n2cfXSa0JKywzJguy6xwid2sskhOTU3GdZa4j+fCbASrLLBGlxFnOcBl\ndqMx3MPzaEwkKpd4Ey+wi8sc4CwrLNNjxDPcz4nxYVZZoMOE3+HjPMd9dOL5FQUlX+YhBmywg2tc\nYwfbucYNlvi19R/nFs7yPPeyh4v809VH+NpXH+In+bd8hE+/Lh+9aZWDxFEnQUE37X0TDKUuZuDg\nFC8wJOSmwuvXJjlT12CkZlMNZqiwQzHRKa0OiLpFYZKAVyCh6iakVYtShq5rUDboBXTr8FJiUo3V\nHo9Baxj3NXJaEkcRjhQh+ysDyjjEkJD9Fbi58PMAhAZhlJfQGQVxlFdg5kPVIUrAgAgHEJFsgu9C\nqwPG4CSz9kYYIImyJwlJbXBKUGV5cHY0c+sVbSGYZB0SH+jXJk2CzsG7iOuEOYikNjgpsGlKRcrO\n+ipNmlLnaTizQSSYRONEoIQbFUDBvK2wOsiy42galSpmsyzDfhwfbwwm0Sgb6GQRjyWzWqGcpV8P\ncVLNhticlCxd3SS5CqzB9Xcv82/m/h63coZFVsl7FZMieS2V9cNo8wHOcipSiLfyCl0mM2C7JuMM\nB1niOju4Qk5FRjMTLS2zAkBKw0W7hy+c+uucWTvIm+9+irt7zzOmOyv5e1GLs8EcDSkTOrzEHSjC\nYTB9hhSULLPC89xDTcYCa5xnHytsI6VhDxdZYZmMmgd5nM/xQbqMZ+c9LLHKgzzOFXbwvXyKb3Tu\n4hSHOcMhPIJ/xP+CJ5wPcYk9/AXvY0LBImvs5xwDNnkzT6PnDb/Fj/JRPsVL3MnRxRfY987z7OIS\nY3qvy0dvWnAIk5PTA1UCoJVRkfoaK1Q8v2F6UpSl0SktmoVqnWv5MsKCkP6/otAEoeczXiOER9Ni\nRaDzTAeUtTgV6m0rFEnTMldOAiPgLGU3oTtqg8rRQX/VsLmUkLQ2ahlAGx+EejJQkHY+zlm0QSmJ\nBCHCIFVSe9pEoozFJgJtPUkTlJE6Ba8D/kAevzagxWttyxSoFA6cFow7GUVdUeUZiQ3grfLhoLaN\nbXk4NMa3M4YmbdpAV8owrKZ9mLY0icJoTVHV6NQyyTpoH7AJowPlC4R2RSgyW1PLlHHSJfM1WdNQ\npgWprWllQiOyGZA81aWE96xoZIoQjrRtSUwbBFHeILxDO0uV5DgEc0818B+Aj8Fj8j38KR/gYb7I\nNlbI8ppJ3n8NvPWwzjwrLFPHg30usJcN5riNU7zVP8k+cZ6H+BILcRq3z5BdXGKVRU5wO8c4yjde\neYBn/+h+1v+ZhOtfBh7n3KGP8MKfvokfOfQbSMKZDtMTvqYMmqalJiWnosOYkoIhPRySXVziOd7N\nNkIFnGAY0Z39bRUZa8yzzDVqcs5wkCF9nuM+ElqusJPdXMZ6zZn2IG9Pv8Y685ziEE08Yeoenp+d\nQXGBPewgHLc4nWp+G0+yyiK/z9/kOkssc50THOE9PPa6fPSmtRUdxkAAJgWeggl9O8IKPZPUThWQ\nHklqG0CEcxaQbCT9GDwCXiGieCZ1DVq05Dbwg9J7iolFt9AZhXznBWR1jVMS0YSM7pQnLxuqjkQ6\nkJMAOOaTlrRy5KuebC1Qmk0RsjrEwFBBW4DVoZQXFajWhWDQWqyOAJ0Nj5EO6m4IKD7Sc6KNnx3o\neG01CdhHkwe9RFFX5BOHtoGZyOrwQGUt2oa2QplYwpehekqa4LD2m/JAmeYYGdqczqgJKgFrSeug\nTXCEgJrXVVgbKWfybC9iBYDBqjByPz1LI28qiroMEutE06qE3mRMdxxxBwfKuQCuGoduDZ16woRO\naBnOQaM0n+ODPP3kQzSk/N321zl69Lnwe0mQpEpoIwZwD8+zl4vs5QILrNJnSI8RS/UqREn0fs5x\ngFf4dX6cn/7DX+F/++A/4f9IP8F/ObjJ+s98Fq7/KSHyFHD6Dzl1x3Z+tfoJ7uSl2fi2IWExCrcO\nc4o7OM42rkfavaDDhE36XGQP21ihIeUYR6nJuItj7OQyQ/qc4RCX2MNOrrLKItPjBi+wl0VW+RB/\nwjWWOc0hFtNV3sQLeOCLPMz0hKmneYBbeYUeQx7gWR7iy5zmIAXl7OyOedZY4gYewVlu4UXuYlt7\n/XX56E2rHLS1eBV4fys0CsdEdWZqNU0Y1Zbekbc1urW4blT44cOEha2R1jFKu2Tx6DfdxsAiJUYl\nSNlglEAbH3rwniBtDFnlsDq2AQ3o6NjgogQ6gI82MHvhIwklf90VeOsRk6hTKMOebRcFynhQkI/C\nc7T4Jk2ED84uGkhd+P1USk1F2PwasEEkpUYe0yEApiZgIgjobRiaLOgn8GHWo+xk5JOWqqNI6wbl\n4tEHxlETKqopYAhhHB0Bm4MiALM6IZGGzNSUusBKRW5qUtEySYOKVfnQJkgXztPU3qCMQWiHEQlJ\n6wI220lJ2qCfkC7OoySGpAlj6EkbWraAZzh6fhxwm3fC+psHHLtxL/4pwWfu/Ru8I/0q5189GFq3\nJq5RnDzuMWIPFxi4DXbLS+zmUjw0Fo5nt/Mkb+UGS3zt1Xfwyp/th58zcPmPCNRQRqCJ5uOOnJ7I\nXID5C84VH+DfrP09Pj7/O1xnW9Q21mwyN/t+mq0LJuzlIic5zJguQwbs5DLbuRrPemwZMOQGSxzl\nGItujV+XP8ZpDvEx/oCEljfzFIc5wZO8lUOcQQrHarvIejLPbi7Nzog8zz40lnPs5wyHAMEOrnKU\nl6ijF3ye93OYE1xiN4c5xRGOs8mAryTvAk5++z76Ovz5DTUnBEVVUWb5TLnYNRO0tZhEMJFdUtvQ\nKWu88DRZACIzWzNW4SyHVmmE8mQxokoCcOaUjKPYQZ2YtH7m4LoJdGCbCooNH4cjAmUoGlA1s+k/\nr4K+wAuPDlPkYCHbiD30IqirQA8YQ0fGw3Cz8NBpWWZlvH5LoOIEiBFB7RdbGBQzhsEnkNY+iK4E\n4D1NJlBtUGhaHaY6fW0QPiAzc9cqqrnQwngl8cKFFqiF7rihTQW6seGEa6FQJkQn6T39Yc2on1EV\nKWnToiNm46TASTkjwLwA4cN0qpUt0oVTsDQtmamRxjPppXSHNeNeymC1YTJQJI1FmgCWQtCC5COD\nyQRZ6TFJjTsE43+Qc26wk7fxFV7tHeLMn9zFP//oP+DSud2v+a4GsiCBPsHtIZlIGNJnG9fJqPmM\n+DD/6LP/ksv/rIDNEbxcgvtMvCNzhODgws1ExYu2zMoSEuALfP7N76F5KuNjC/+ZDeZYYI0NBlxh\nF4c4PTsubz/naCLFeYjTGMIhLgHnqLnMbnZxOeITmxgZ2IkjHOcqO5hjnXt5nkvs4VVuYcAQvODG\n2k4G28NxiB/nUf6Y72GBVXoM+QoPcTsnmFDwy/wUBzkz02u0JDzI19BYdnCVgpKH+BK7uPy6fPTm\nVQ7GUmY5WVvjE8G6mKfwNVnV0mQ5/XZIm2iaTNEdGUZFFClJGLCJIGgSJkU4YSiPugUvBJ1hy8Zc\nJ7yQgI25gsWqpOmHUWibCaQVmI5HrwMqqBqTKM/1IgCGsobc+1A9jMO1SJidhCynWd8QElHEHORU\n8TgBlcbnTBE8R0hYJaFamP4+CT9znfA6MgYOZQNYifJUc+DEdJ4jnDeZ1I6kCcCnbj1NpkK/ryAt\nw8CYqhxuLjxPGUtetzgpmPQyiknN+iCAb4ONGqMEOQ3CucjghGPlArUCSRvEUp1xg0kkg2bMuJMj\nMLSZYKI6yI4nqwxrS52guUgM0nt0a0jqUC3YRExvDwDyWejnFf/2/T/JmC7qdoN9TPPcp98OExHW\nbBzXuQ9LXJ85355zqwz2b/JL136as//jQeyXVuDcFWivMztXjsE3vdq0HJyGbx0/6vhZAT048xUe\n+8R7eMtnnuAgp5meMTLVRqRx9kfgGNPlNk7RZcwVdrLBXNwuhiE9rrGdAZt8jQdpY0YqKeIpXSXH\nuJMxXU5ziF1cYUmucGNxgSF9jnMEh+StPMlJDnOdbQzp85+q7+dg/gp38w12coWXuJMVtvHyylH+\navkd7OccRznGe/1f8qy4j6/wEPCVb9tHbxrm0N0MyjTZBqXjIjfwyuElZFVDmRR0hxUIGPUTeuWY\n/mTE3HqNti1z6xPKIiOxhg5jtGvDqbuVpeoqUhP+14VuLYsrJXhIq+BEM3HSdAjKh4BQdUUIIGPC\nWPBckErPslYOVKHVcDpgCyheO6VoQkhAY16TRE8TU5RSownBZJq0pv9SYgKkIeDIITAMP5Pj8BzT\ngXwF9DBUNwKQ1gV8Iu7zpA2UZjHyFKN4cxX4FPIysCfKhINtEZ65tQrhPUtXx3RGNVYGjMZLuFEs\nkdXhWHltw73Kmia2MAllJ6XOUupMoW0AM/EwqDdptUJ4R96E/kxbS1Y2KOMYDXKqToLVQSQ16crQ\nmp0FnoIlVpljA72zDYHzjHiNxuyEtS7uW+cIJxDG85nye1CfNPyG+CCnd9zA/sZX4fQxaIe8VgV0\neU3OmgJFvNg02k85Us1rwSTKMT/7HP/qH/99TnI7m8zxJr7BMisssMatvMIuLnOWW1llkQkdeow4\nwnF2cYkuI0qKOKjVZUifB3gGFTP6Mte4j69zB8d5H1/gY/wBP8SjvJmnqWwHJkRF5QrPcj8tCQc4\nS5cJn+C3+Ej+x3yYz3KE4/xnvo8Bm9zOSQ4sn5m91mkOMhrN8xv8N7ydx1+Xj9682YrFlMzVVJ0g\nhNLGzv6hS9I45toRbaYpRgYnQ3kv4tmK2loQUJQ1TgaQstY5O6oVrIa0tKEfJ2TXtrAkw8gSGPDS\noVqHnIqQpqsgBOmmn/W2Io5ftLlEFw6fx+w7lU5PK9GS8JwOYU9Nk1BBCArTI9UrZqKmKf41wxty\nQES59DSQ1EAKbTfOaiTMgpluQvUwlWnXXcjXIGs9bR7EWSLiHvW2hM18wJzbIFk3qBrUIACdAJMF\nSVo5lAnycC8Ec3Yj6j4kTgZguMpytA5YQhUHtpKosZgO0TVpQl41OCVp0oTeeBzGwH2YXg2BokVN\nT9OqHaO+nK3ZPs5zmV34RoT1aePaTP1VQvnZef7lxX8MvzCG698AvvxNN3EqTxXxJk3bh9g/zha/\n/abHZN/09fSmRqqIDfifz/MrP/jf8tt3/dDsrIfp0XFzbMwYi5PcjsKyzAoTOlxmV6wc+uzlIg/w\nLFfYzgf5HF/i3XjCwcmvsg9DwjauU9LhSd7Kpurzw4Pf5QjHETgWWOf/pu7Nw+y6qjPv3zl3rHlQ\nTVJJ1jxYsuXZlg0GGw8YG7AdGwcz2IGEJKTTSWdoJySdTpqEYDr0Q6ATmqRjiEmTACEBAw7YGIyx\n8QiWJ8mWZM0qlUpVqvFW1Z3P98fe792rys6H3F++R+Q8Tz1Vde85++yz9xre9a619/kuV5Cixhv5\nPlUyrOQAV/EAf8Zvs46XmaKDOhFr2cuVfIc0VS7hMbJRmQt5ghc4E3jo5BSUU2gcwPEOCS4PX02l\naZ4vka4mVFOQqidU/dqEaiYiW3RLlmvphEJbntZijcQTCbVUQq7uXHVTwe2gVKvUXXFVoeaIxppb\nxDTfFoHfcKWe91WIJUdIxvPO+5Fz5ycx5AqQpP0Wbr4IiiacDArqVgkOKIWTrwSSJojmcHKWZ6Gs\nKiSp+c/m3e+MRzYyAtQgU3A8Bml/Xlq7SLlzan4vCDIQz0N2BCjAD9dewJfbbuaJp1/HsYNLWb7u\nMG/c8iC/VPwrVhw/RrbLZUvq1TqVjCNts8U61Wzi+IYIUrU6mdjt9igEla7UaKnOUUvFlNNZ5rNu\n6zNiyFYqpKp15lpypKtug5tM2WWVUtWEespXjyZ4pAJNM1UYBoZhkCFX35KOHD1QBY4CR4CngGdm\nYf5lHLTS28GyOOuc4FCCL0/FEEh2pxh8kQl5Aqwr+clUyOE36SAFPELxA+9ix6NbOI+nmffvAMlQ\nYT+rmKcZvShnKcP0MMaznMUsraxjDxUyTNLJCH0cYiVr2Mtq9rOEEw1O4Dh9jNLLS2yiQAvbeJxO\nJklRYy17OcRpPMyl/D4fYZCjHGAVp/MSJbJ8gL/hJTbyA97IOEvYwg7uS64hiuq89NxZ9LUd5aVv\nnkHP0jHgL05aP6PkZF+c9294RFHEaL2FfKXIfDa8NShXKtM8W2O+OSY/W6fQnqFt2tUdZHyJcbXF\no+galJpddqCUT5NEMdlSmfw81FNQysekqnWn3BlcsVKEkx3JTBUnF7HzzhnPUyUZr9RyJNBQVOxo\nqS1cW0mHCzdSVWAKF+ZqT0/JoNh2GQYZjqK/V5v/TuhE8ilZFQKJff+bcLox5/tyBMbPaeG2tr/l\n22+9kdp3HoRkn2+gCPEF5P/bWfzJh/4zv37k06RakpBSTaCadiXgSRSKl1LVOsW8e11fpuI8c0uh\nxlxLTC2VciXrpXJYS1GtU82kSNVc0VWqVndrYsoJlQzk56CU91vlVRzBmvoS8BjUfjvm77feyAcO\nfp7S3c0uRH4MmNkJHCLArWYCLItwxsHng0lwBmDeDJCscBNhYwjtsVn3E1Y3nwuyVBoCs+F7a/nE\n5b/KPtbQzwjNzDFOt0cN63kdP+Sque8wl2/i2fhsehjlAKt4nIs5nRcZ4BiztPAEF5GixlGWsZkd\n7GUd/8K1nMUz7Jw+gyNPrCWOE1rWT1GN07R0TTL1TD+lh3I03zRH3D5P9flWWreOM7e/g6QYMf+V\nZpIUJDMRyTMx7EwgqUJtEurH/TjNAq876XdlnjLjMJK00VqcpZBvpqU0R+TTfamqg9apGlTTEdm5\npFEDQN6FBqm6g9NlQfGs26CkfX6GpvGEerMj7sr5iKYZf/0cLkvVAmkprMLLPFBzG6zEdW8YPKRv\npBe1tFqGpQk31pK5nP8s8saliJPNyH8OTiblpMR76dqa72OXb1eyqU1V6+b8MmERUuR/poEj8JVr\n3sptn/4C8//pGPBCeDgi33AZGIVl7+GNjzzDA5XrSLe5fSCSbFiOPteaI1uqkC25LMNcS5Ykjonq\ndXKlKrVURDXtSssrmXTjd1yvk6m4lwHFVb8qterSsQBxLQk8SdX9FHsi8k8n8D+hekWan73lbv75\n+hvg4SLwtO93lsD+ho1zgzFQbboKIiDwCBCscdpMig0x/D591HCQxde5Nyz0NGz+Ge564efYGO3y\n2bE6Y/Swmw18pXIzlWKOdfHLvDSxid0nNpChwsTefvcIIprywH6gUoORCE7UYdSX1J4AyhHUyjhD\nKGQkD6TJF9klIa1Bo/pRz9dFiJlbIGp25b216KffOEyX0ySxq8XLFSsksTMEqXGo9TgPFnviMO3J\nvUoe0jWYbU3RNFujmoFsGUa729D26L3H/auRImc80hUX6+amkrC1OYTQ1ChdPefuSYEggy0Ep5T3\n32X9z6z/v40gu5I1GYGM/75krvW7GTXk1ocEDYLShxhAINIrvi9zBNQjVDPpfn71ko/zl9e+Dx57\nzjyc2M+i/9sUVOQ3sunzKV48d2sja1Jpdsa2Hke0TNWo5D3fU3f1C7l5l8JMooh0OXHkb8ntNVFP\npUhXnDGpx5CqJWRKfvVp7Oev4sOztO/KNDAKL1y2nt/70cd4+N6zmPzrCkw8Q7CcsoKwEL5FviG9\nSFNGJG2+l2EUYpBBqJlJKxPQQpVAYGqSdc8Omj50Hkl/QvFAK1GqTDI6A2Ml2JeFOc9rHKtDue4n\nJjHtyiuoPe1gIwJKE670mPgQkap6Xs+PRFkvc34lHjFk4xA9iWZJCGi1/O/AOFQnoJyNiOsw1dpK\nS2mWZr8PQt3PdbHF741QB2YcbC90psnPVt3qyHxEppJQzMeek0hcGtHXKJTyLrWZn0wg79BESlkE\nGQcZXhF+kwTFFCJVTYJ4hcif47mFhmxq/uTAsu77pMMrhHS1jpvjcZzBl+NrNe2qBkIEZgtOkVK+\nXe91OQFMwBlnPseO89ph/CANmNXQPrHw4+bmsjB9bPhCPy+es4U4htKgj+In3SWJ39+ynHPGPDdX\noZxP01KoEpVhpidDfq7ii7FciKB1IY39dETISu8O4vRkD+y5ZQVv/OvHGP7MKOyegeQoC5VHgyM0\nIO8u6JX3A1fBhQZW0aosRA5l8786JJbXQjHFcWKWU6Yt3atC4DnAhTnNOI8tSy9WWvCugos1TR04\nHeaZMhDHrplC4qfJG8V5Fh6ylcuBMRpcFJ3+lkWgH+eY0r6rWeDhkzcOp7AIyqXeytk0mXqFlqm6\nY+qrUM6KbHPbr2VmcAMWQ9tElWKz4xyyRVcUVMm5jUfiqicBq47syheAucQN1jCkPPSvtjhykhpO\nd5TVkncu+c9b/e8IZyBaCLKUxsnlpD+nHTf4aleyiCEyRYjrUEgb+XvJkVT9bwlEK6FuJ43TgRgo\nQrWc5qzup9m5rgtqhwkwQ41IUaYI8YtgeQo4we53J6z5wh52vHErLcfnnUDloKjNZ4qQm69ST7ts\nUctUlWJrTCpTp22qQk0cT81Z1WzBkb1JClLzvu9C6UNQmsry5LZzuerB71FqeQJHKihEwPQPgiUW\nUVgzE4F/xln/t6x0ZK5XuGDbhGCxdF3NfCfD4JfXLjhXZJSKLvB9Kfo2JCjtBFjaQbD6EoY8TvDK\nhPizC+oJpCJoioIz0uNXgcQTp4lHgoeX0TBmAogRTi5ll7oJiPk1HKcMOcyU3Bugymn3bsqOmQK5\nuQSKUO52MWo5l6Z9vNLwtvVmj5Ba07RNVaknUM9ElPIu/Rknrg5ACpjkXdVjI0yzBUlCAhAcQBML\nIb0ck/ZV0HfthLCj4j8XkWjRrRyTnLjukyEoO/6+cjI5FhonhSjKkMj4TEKxM8Mlsz9k+9XtULbF\nAIo5vHVqWLwTBK8nYm/Od76F/r/fyJOXXcJpc0MBiXsSuJJx29NlyjVy4+6Z6hmoZLwfTFyaOEp8\nnYakquqfZQqOdvfx/fWv5z1/8/ckv/4csJcAs8UJyKvKk9uqRRuHtbEQvmlg5whISe6ybtrXzjqY\na2S5fVqrYfkV+1njIA6nE6JBSAo4g1D2E6/QwRfhkcUJTAaXYekkoJYmYIn/e8JPfjc0N7nbLCdE\nHeJfVUczBowXIRkl1JXrmZa4C+IYmv2u3Ut9V57/dxBWjNdzjsWOYlpnylRybnu01CRUeiGuR0y1\n52ktzJOputLjas7xD4UlKZoKbkv3SjZ26xlIqGbchq/VlsBXRFLoY7gBUjih0FucgmSniJuIGf9/\nPy7NZtPhQg/NBCQrXqyNgF6FKCDwAzlCOCEnJ2uPb1PcGgTEWfbXTAKjUFqR4oLsj3j+nHYo7idA\n4WaCAVCg2e3/HyeQkoq35wklm510ffZCnrjuQtZPHXAOrwLlNkcQJ7FDfHHdI6/Y1VokkV9ern0e\nfWaJKTd281vS/I/W3+Tjf/4hpj76Y0iGCGSKTcUIWpUJ1leDnfPPIGXX4GlCpgnVaDIi8vKaXLVX\nMW3JJetQXGhDE0wb4gCAVZfBBmAIOF6FyVmojOOMsARDRqCdwCTL4mu+NA5+JyA63LNk26E37aav\nhxC5VHDyeRwn11NFKE/hqsUKhLBRAtvp/k61Qi33028cZkox2VKdSjamabZOLeUUP6rC7JKYdDVh\nurWFjpkCGT+W9bTbaKXYDDlv/KuxTzrkosYaioy8tIg/6xAUvir+V4an15wv2WkmyISIQOtswOXg\n2wlzLETv3+lICwvrICo4J9Ft+jCPM/bzBGOg35IZydIxKPam2cKL7LugAvVDBHgrqFHGKYsGoZeg\nrVP+c8EmCDDKsd8rvryNH593Pr3VE9DllJ/YGegk4wxutcXNV6WJxkK1hi0axylMD/yPs3+F//p3\n/525X9oBtecJrLomQV5eiqt4TG5S5wmCyyCI7FG4IAShAcuaNvSsmggRTzGvHAflrxVOqIYC02Yb\nznX3w+o3wFUEsvgQcBjYU4NSwf9TIMSMOuYJKER9tPdTIc0gREuhP3JIYhXO1iiTNY1zGPuAfQnM\nloBRnKFQSKYquzRw7k+/cUhGnLLXYyh05GgulBwJlnUIIQLmWtxbpUhcerHSGSBsXMcvH3ZseqaU\nUGpyWYzUOI6UbDFhxQTB8so5QZATxf0VgvFN4yx0l/9Mr4GXQsf+e78YiDaC1y8QCqbaCUgEgkzK\nOJSFSDgAACAASURBVNlMFLjJVm2PEPGs+yk0N3Px/KO8cE0zVPb4C+VlO3CCobBCqEAxz5xvXIeU\nqGRuWAJO46JHUzzCZaT7aw2HnPjfkZCzQmWh8uM4mazCZ66/nd+/5yOMvz8DM9/wgyBPZtOOPnZp\n1JnHpj92ZZrQjay7DAmEcESkoUpfcwSmrmyuUwbB8hiy7PZvfa+xssik6ie1CaLL4cJOuADnpGf8\nUB7AZZP3A+US1M024417SZg0JhIIv+iH2M9fG7AC+vOwGvfT77s0QUM+GMc5rBFgrgrVCRySmcMJ\n+7+DOof6qKtnIIqoZCKaZ+tE847IqqXdOyCq2ZhssUrOh3T1VocsIp/6rbW4NGXiF1zVUjFtE9Wg\nuCq/reLglzgiOSEpdydBDuU0ijhvoIkWtIcQOigsnsPpqJYVi0TCt5Uznyn8aAG0vL6M02uF20IU\ncpoyNvNwJtt54e3gpEBxkbRVgqagv4SzbCrYMA0BoaxYCiIEMg+Zrbx5+BDf3nGjC8e0NEGl4nVc\nuOU5kGRVxKNnnccnT/wnnrhrG4f+Lobdz5tBsGkhWUlViuk7EYGmOq0xCBBCArFrMhSK6zRJ8tDN\n5judJyWUkmvida36Kqusc0VKCbnkcIZYArYS0qvgwpWwHqe0ikyOAy/jqjxVU6VHrAA1v29Ag7Wt\n+LYlCIpJ/YKwaAUs6YRBYA3OSAg4WX5ryN93tAbFKd9W/0+/cUiOurqCyIQL1AOvMNvpqu/aJyoN\nx1hU2i+OyE8nVJoctzDfkiKqJzTP1Imm/E3yhHlN4XRCBU3SAV863wh3dY0yWLaeYQ6nh3lz3oxv\np4IzDpKbWfO/nKL0UqGnMh2a1GbcpKqsX7IiBzoHmwZ2suuieaj77akbhRuxb2CIwIjKk/YRYvp5\nQimlDqVLbHLce6/28/ny+G/zjvu/6Z5n1N9qLfzLlsv5w9kPc+gP1zH7WJn52jD1sbLzWqUxQpgg\nhZbS4ydARkoTorhLXl453LTpm1I5+k7GQV44ZyZFyEKTYA1PxXwm46NBt2swxADrvraqUuGJctR6\n3iXQcja8vSs8dgtu/CZwNn3KT1sLgT+o+OkrA9MJFPVMib/HBAECq1BrLeS6YDPOULT5dnpxDm/K\nd38f8Jy/z79lncP73/9+7r33Xvr6+nj+eecJxsfH+dmf/VkOHjzIqlWr+PKXv0xnp9s046Mf/Sif\n/exnSaVSfOpTn+Lqq69+5U19WEEVkjRU857pngIiSNrc76gOpZwrdGq8Rq4M80simoZd7ULS5Maq\npsrJE/4mLQSEqUzFNG5+JVtzBEPhCcFyj4urcwrlzXsrG9DfpsOnCDUNXQS5U/m+7meLm5SZUKgy\nRyDSFcoIXc9AMhfxhrfczyNL+6E6azpgc/jtOCgy4wYJLepYRlC8KUJKRkIthRRxhulkQvyGW/jC\nAz/L31bex30fux4+XoK5HbjgWjBYlXwQNKLdt2EHTR4cPygychCKl2z9AWZwF+fihCAUItgiJkvW\ndCxqD3NeetH/GfM/BIMkY2r7ItR1gkDw2ozGBrj8dEdYyqhu8qeewNlvOZkabtryhEjiiL9Oqeth\nIKlDctx/ofnLAFuhrxkGcAaiCVjhu9SJE4tdOPrj4L+hcXj44YdpbW3ltttuaxiHO+64g56eHu64\n4w4+9rGPMTExwZ133snOnTt517vexVNPPcXQ0BBXXnklu3fvJo7jBW3KONQ8EV1qjmmeqQcHkHIK\nmkQQj+MUXem8Wfc7AaJJ913S5Jj0eJpQDaYwW9A/wVltcQtalwNBJhQWqH5F2QHt1SCnKl2bNv9n\ncYzyDAHWyYDIyctYlHD6KaIRAoJWezM0ln7/5pv/lE9suRlGjhLgj2BwMyFu3+8vbiZ4mF7/IAU/\nMO2+jWlC9Z9CDimLPKll0KWEEsiaOVcQXZ68agZDOy1BUEIZBO23oDytykfVrlJKWZySiwyyoYL6\nIiRQI+SStY+DjKCtf9A9zGu0GiGJ0p0ymkoniQRVlkM1z4KZGpucv28/nLHRefYuHAexDCeb+Clo\nMpfYsv5hP0xLfNeHCdzCXmB6BsrjhPCyA+iDbA7aU669JcBanKyN4MKboZM3DvFPOuHSSy+lq6tr\nwWdf//rXuf322wG4/fbb+drXvgbAPffcw6233komk2HVqlWsW7eOJ5988tUb9gob1SBbrJMoK1D2\naKAKNYs2MzTQZpJx3INgfFRzKbb5vihwChDWKEiRWwlOTnognZBjs4eVjzmCQo/j5FQ1DM042Zgw\n7dtaIwioYY6g0wpR5PgUgig8PAH/56ab+cSbfglGDrCwBsB6aymMOm3jJCv8IinFVbDoGrWlJaSC\n1LKYUnwpkWUjZayEQFQTLqiuPukzVXFCKAqyMbfifBkorZiU0RJ/oIlUHYT6YgufFIzr/hlzjW3H\nPpMd0yaCIbLGSMKWYeF86JmegReegweA53GefT8hkSAbVCIkFDoJ/FUvLirswhmYrcB5wG3AzW1w\n/kpYsgWya4ElkKv79QI1KNVdiPcSzn5lcfzEazj+ryokR0ZG6O/vB6C/v5+RkREAjh49yrZt2xrn\nLV++nKGhoX/1zm5jV/eSleZCvYH0tK9iRvBazsnLVaRUvf+uknWLe5rm/GRWodoOqSbcakyFujOE\nlL/CRBkSWztkCew2QrpcYaacmw3XxWMp3LcyqnUy0h85NX0upyRH5j3F028/g/e+5x/gue8RYLUY\nfjGcefO3rcxSLCPSQh1Wuk6WTRVe8uhSHA14xfwWY69DxJzaFulnC5tkxRdXIdo03qsVeVgCUWgp\nMefqd9X8tqgCFvIc1hgpTSSjVWShkBUJ4ZDubw+7AExGSX3VvXyMzC4Yb4dHV8GLwFt988PASkLC\nQqlr2cQizogIhSpDrUer4AxHcxb3Wnac8REF0+bvobYsYDvJ4/9z+XQURUTRYri28PtXO/7oT1zF\nY1xMeOPlCZefSyMESGKXsUilIRKUV4wmyK/BjBxfUVd1ov8urfBaC3xyOM+uDVg0CVJgybhiQDk4\nZQDFm+l8Ed0KW7Q6GIIjTAiO25ZFa6Ilu9qCQBzJDOy9aCWXfvKH8JVHWKgY8v4qdJFwC2aJCrcF\nPvZhbem0Yhw9cGzOj007Enp5TSm6FFKFJIJk8tAKRWQ4lI6U55XxEuzXPTEDK8NiYs4Fnl2KrrgM\n81wietoJBhKCkVM7el55CHuebduiHy3nVaihEEhjoQVjKWA30A2ldngCuBQnUydw0cC0P2WKQHrL\n26uEX3ZUa39qNDgpIlz9Q4fv2kvuu7bPTjFz13Z49PuuG0d4Tcf/lXHo7+/n2LFjDAwMMDw8TF+f\ne7XT4OAghw8fbpx35MgRBgcHX7WNP/otIOc4lro2TSkBzQ4ZJF1QiSOyU0mQoxzOmkrhfCooiqDe\nBnGTJzXl/Iq4wdRcquJWejFBQK5aAyB0aOtgtBrTo/naYETqqFcY8WKy+iLaJfNCnSIdZRQkO0Lv\nCY3ixcnBdt70yPeZ++gOApyICTE3LITXr8awNxGso60IlBW0sNter++UCZGSypNL+O35Nn6S8qom\nXIotHC1+wcSFC9hYCDljGz7YfimLYTMOuq/QzDSBF0jM75RpVxNsEY0Mh63atJyK7qcfGYgSC+dE\nvE0aN2/PQevr3aKzFlxNxF5cyNCLk79JnHxrf45u35RCWJs+V5ajhLvX8bjhdLK/XeLM657hprVf\npP2Kab4w+x4GWw7z4PNv5sTW/8bJHj+Rc3i14+1vfzt33303AHfffTc33HBD4/MvfvGLlMtl9u/f\nz549e7jwwgtftY2kzd292oLbjamOGzSPKtPzkJlLQohbxA1SJwtT2x5Fp7U/pBRZpH4LIXSwCNoT\nmw1yUJkLwX05DUE6lRNUcYZB6EEhgRCBjJz9PU4Ipxdn1Aq4SZ6kwWvctuEuDv3anL9YwiyFgCB4\n+i3lh6BMXWFwGg9dM/9jzo/NZyrlheDJ1QdxGJb51yG8KwQgbywrqPZzhMyETZ3KCqcJlWby0nUW\nogjLtWD6a4tEhGjU1uJFWRbVSPHt/g16JhtuCF3JWEg45MptezJSCl/G4Pic+3MHjhxcS+CNz8DV\nk8jGzeM4g6P+3EmcHIn3UkhKBTIJvBW2PLSdD+35Q/76127jF9f+Jb8y+1es5CDllgwVsmw6U3Un\nJ3f8RORw66238tBDDzE2NsaKFSv48Ic/zO/+7u9yyy23cNdddzVSmQCbN2/mlltuYfPmzaTTaT79\n6U//q2FFNAtJM2TmXOFTFNFYXVzpg8wYbut3ITaFyDP+b+2NUPOoYd6jBkF6kdaaWxHO4t4qBKYY\nggzqfzHHIrx1vRyh2rHFhSmc8dL9JMcZQmJAsq8CGJHxCTAG+28f4BtN10LtkO+A9UKC5VpnkDbn\naDHSrPlMpdK9BAi/mDyz5cHwyrQfBK8rA/RqPsVyFRAURNfo7xjnEgXpxMrZNJCtZ5A1tWGE2rL8\nhuUqrBG1vAMElCCUoVyyLbO2ZdT2fhCqjGzGIk0oUVToo5BPYWAT8DgULndtHs24UGDA36ILRxiq\nDEUlDXJacwkUouDo1kLquhob/+R5NqVeZJAhTuMgU3Swi41UyPDOli9wJs9zgiWs4PACl3Ayx6kr\ngvLRR5J22YdYRUJpQuZN4YAQnLx0DZfqbSc4M3ltoep+AtE+Q5gfIUYVSwltiC22zlUQrua/7yKE\n2gXCKkoZGhkLFVwpySNoKD0XR6Gl4jPACEwua6fvr8ao3LPdnzxKKHiR5xZEl3dTXlaWUWhjgLDQ\nv9v/3eT/1jFD2NlGhkOuK9Q6vLKQSJOgh5PxkkK1EuJ8DZhQgSyyqjQr7uGJzaTJ4mpBCwSYpz4o\nvtcmLlJ2ixqUK5RVtqSVEJa8jw0f9LyL60ksx5MlCE7Kj+UYwdJrvNR/CfBpwGZXBn0FzpmI/yzj\nUMUR31QvLvWZhWzfPOXuPF2/cYLXrXuQ9ezhEh5lB5sZo5fb+Dyf4tfo8u/OnKKdFzmdJub53sTV\nlJIsH+z+S/4k+tOf/v0cas2QKkOSg0oGsj6tqYGq+yXwsdDpFGELNaXGIciCnIDmU+hPMizZFPem\nGE5pfGX2lCGRUxL8Xxzqd/i2tG5efcH1fwFhmTdtiqez3OIQzK/Osi15hMo3Hifs1qEsgYRc3l5W\nLyZUaemGUlatOGs1bVlPpw7IEMgoQPDCtrBJGQ57HuZeChMEt6WwlqMQkSPPqrSq1kBM4iZZiqr+\nCqlY76Dr9AzlVzlfXkVpVZGUej67nsNmPWQQLGGp+6tfEgzdI7voGiGfxSnZIaAPppa7MGEVIYx4\nBmc73l9l8PTDLD39KNe1f4NmZvn52c/zyZb/wBGWc5gVFMkzzFI6mKaFOaZoZyO7KNDKLx69i5Gu\nPh5ueh13cxttXZOcxgQ72cxrOU6ZcYihUeeQkxzLq5chzjqysuHR7T4lVlEtTFf1rFhbpRVl3FXk\nJC+v6y3vJMci0rBI0Es5QRkWWXyhCyn/nGlHuiT9sNzDNFCAZBCuWX4vu85OoC6IY2sK7DSp87YQ\nyEJ51WqP4ISxm4W5LJGEtoRa99L1uq+fpIZSqoZc3lb9sltTKUzR9TbcUL+1O5W+sxu5yuip3kEx\nm9qyiiZ+QAuXBOFsxacmXCSTLYiyIYcNR3Soes0iI2tUNNbiF2wqSsZI4YqMSAnYD8WlMJkKfNcS\nyHysxDWvu4eNqV1EJHQyyRZ20MYMu1rWspa9LGWYq7mfb3ENFTLk/crBZzibFRxmjCV8Y9m1lMly\niNN4bv4s1jftISHiAp7inzn545QZh8gT4EnsUERa0D+L26RlCiI5GBGFVULxn929SeGgKhAVXogr\nklOVshbNueME2RNhLiJRoa5qFSAYCtU0qBhPeqqQX6SmKt+EeBVWVP1z9MK1536NH6xdB7X9LMzF\ny9tHptEaTuE7CK/h0rmLaxJq/uZ+Y4YFCiEPqA0tZABgYQjRmDGC9bMoRJkMWLhKskjYzEJ9tN7V\nFkblCdtbyUiJsLHQHPOZ7iMDIQOj/sv4aMcmXSf0IM+uNmyBmSZe0FJIS6GBVvQpPSVCzBYSLEYM\nNqtyHDgEtdUwC/F1Va5921f5jegTFGhljB5eZh39jDDIEabp4CjLWMkBLjjyPPuXL+NergOgjRke\n5lLO4WnamGE3G5igiwOsppUCNzR9jSt5gOfYymZ28lqOU2YcZJAjIJJs+cVHkeWGVFWo1PEJ/5k3\nJA1HUWfhsnmFk/LgCk8VqiruV9VkFYdqJbdyMnIAegtVhFt1V8XxfycI+qvQVfdX9kWOR+ikDoxD\nbSDiprVf4tsbtkJ5H0HIZD30EPKo2snWpkgg4FL9b1ctzhAWmqTM9bKeEGCZ4LbQiq2L0LmCQFkW\nru5cXBGmcEXnqn1lP2xBk60ftgSmJR5lJIQeLBEJAQmJsFXhiymIaUyuDa3Eodh0aGx+21oMG8/q\nOTU+WshwzHyvcZYQyDDXgH3w9AAsa6K+P80Dd13D/WPXUY3TdK84QbWeIalEdPRMUezJ0b16nEy2\nxNXLv0WGKvtZzWZ2spwjvJ5H2MhLVJM0/dEIfRznOP3M0cwONrOUYQY5wh7WA9/hZI9Tu59DBvdi\n2JSrcIzsYj6lNif8RdpLQfU/ozgZyBMco0IIW8gn+Rwj8AoiASPzmZCEUG+NkHkQZydd6ycYLCsz\nchKSU8kn5rMSjaX1v3D5/+KuTZfB/AmC0KTMhYKlKtGEsD+hrZgUUVIx7ZQJNds9BCJSAiuuYrEA\nK5azpceypuAsuOKtuUXXL4730rjJgcA3qN9CO1JSz8rSRmCGbV1CvOhazPcypkILNl1pDZgKnWz1\nmkjKxekj3cfmzEU2yTMppRUR3sW5g4A2ZDT1nHY81Vex1oo36xC9zo1xssv1N52CXBXiyIfYVShn\noDUD+TykesisiIlX1an3xTSdPu/KrTthvp6jt/co1dkMvT3H2RFd8NNPSDKN2wY+A2kr59a5aG7E\n/qseQkjOOg1bwq/PFGrmzedCi0IiFlnOEjbogbCeosW002r6qRBUXInVlVaCIQMnS1PAGNTqKf7j\nDR/nrr634lY3Vhc12EVg6jPm83lC7CzvCyF+geBhLek2Z9qTkRChp2InCbJNa0bmt9CKPKA2NdSO\nLxXTFgRLLetrKxhtiKOYT6WAQgk2vLKhBASrbAdXzy3FU2iiEEK8hNqSF7Lr9NW2nlmchSU4JWhl\nc16aUN7YQtith0XPKFRouY5xAorLAss92XYCl6rohGrkYm8IxXiS3QRog8r9s1B167IrDeF3kPio\nj3uPN1DPyR2nzDgknRDNuGKoSPXjJdxYDeLmTov2WnFoTTyDitIy/jv/whq0jsLulqYt3eXBVSch\nOZohhAddBOMhRK+V0BXCgkaVU9vaG+2rotqKYZzDNhvCUoQdmzZxfe6f2dsX49bQqiFZKM/INoRO\nN7apP22JLY8ky2M5Cnnbimlb5JxlVy3skULjH0IDbQ0GLFR0KYoEzxKl+AEQzNdzKcZTH1RlZvdj\naCMYAYUDMnaL+6EJU1GKwiwRR9r92ZZmW27GGme7o7S4GQgIR2Nroaa4lBiXfxR81SHUZDfskEGV\nERFvcqFvax5SOWiPwy5jyqq1EOiaEeDdQFsL7LwYfgC8tA9Ko4Q6F9UDLN7f/v/9OHWE5JS7e+MF\nJ4LpA4Sx7iDUI9gwUV5eBLoIQ4sOtSxW5LyygdpHQWS7vleqU/s/NJn2IWTb5HxU2y7Ztwi5SNhs\nI8LxC8tjPrr5t/jjd/8e5e8eJpCLi6GzFLJqbq7ij5hgGMQNKG9qlUSdsQKZEOIwy9hLwMWySiGt\nZ5YyWEWFAMFt5sMqkBTWGg6by9WzKZ3TRyhZldGzeV8hHU20YJ9FNualPQ2l14IETZBlkDPm/po8\nGdnFKV/d156P72+KsC29xkwoRPeQwdFzq99qL4VLdXoDFTdBtR36orBPqZ3eXYS9IXLAFmAjMLoG\n/mUN/OgEJDsJQv3aGIRTF1YIrosrsCXRSs/LURRxym5rE2RAyizk05T6FjkoLy+EsbiEX/LWjNM7\nhYiSkcXOS7qlFcSzBJ5wimC05JSOwzM3bebSxx6nsHwEqo/gSuEkDGXzW17LxqsW1mZ45b74Nl0m\ngdMgWFKzZr4XZLc1BrKG2vJJk6EwQYhCQp8iFCbJOkeETToxv206cI5QPCSkJC9roRpmEK2hsGFD\nYr6HYFR1b/EgtrJT46l0ZNFcqxBOaEbtC+lIEHQfLXhT2lTEWCvBq0mIhHg0b/Jm4mFUWfcoDUNW\nqUOlA+JrQ1eUMVXqv5eFyLYNJ16/BJy7BL78epgYxi3qsPuH/uTj1BkHFZVZEl3zYvfB0yBongXh\n5cz8rlENDkEFglp7o0pGybruKcMyjRtM7bGgTZsVkigrJ2cN4W1pQpxaSpv1bSiMnIR7b3gzb/25\nL8O93/AX9hJqZNWQLV7Sw9jiHJVX2jUJIjdicx2EsEEQXq/tgoBGtImmBl/75Gtf/k7CDrlKBdn6\ncim9FFRowBYr2d1udK76UDWf6zN5beuthaPl9RUaLE6xQgidFA4tNjry9IsNpUKTyJyrH7tngDIW\nIiMhGCsZCwlVN844iGOwvI7GTGMphKXx1TzLkA266DMFlBOo1SEXewdVhq25sO2csmyzvuuDwJUR\nbF8Gh5ZBWdukndxx6oyDnJ1l862ySdYs+SynJfS42MFa+ZRhFqckI2+NjNo+QZATzaP1/ov5J5Gi\nCSHE1XniGKZhaPVSbvzNf4B7v42DzLbGW57NEm520xVxAZaFFcpQ/lYGxHpoxbG2qsyeI35gcRvz\n0HMh1NIwcT+hglFKrkUltiYAXhkWWa+s/0VW2opBLRLAnKu2NJAyCJZstUZE4YP1zCrCEkkpryEO\nR4fGxxY2ieGzxk4Co+8gKLxQgy2oqRMyLuKBZEx0XyuE6rvGVH0t4faV64DCYUivgFoEyRyU9UxD\nsHstrI7ctvVaca6wWeH1ct/82JIAaE7iiH/yKf8/HRpPzbdYf1i4O5j0R4q7GKF5UpMOgpLL6Ai9\nKQyQ/BYJdQuqiZERlz5JDqSTaqdm2lJaUgS2UIZfUPmXZ/4Clb9/jLAtu+CjiDIJpayWTQmmzXdi\n1LW1lZaoak86faZ0i/WY8kQQFKQFx57qYX3MO1mEKaU4uwlWUWGBFFeHVZjFyqPPhEikREqD2mOx\nJRYzbL1DYn5sutcKipQ/R0BYQlti8CxM1Zioz7bc2/YZ87cNycrmPPEr0lDNuU0Dq+8yXNZoV83P\nEshcD6vOgdRSYAaqI15XRNQed/cunnB/VgnvzjhMAF29wGX+5yxe03HqjEORxktgGcONqZRO9Qzz\nOKVvI8xNkfDaR28AogmCUZgmGAkZ4zpO3mZwc7aUwCuIR5IxKRA4Mb+HY6MQUQ5EzLHkRPKg+fbn\nffSRD7MwSLTMtzXvVdMAhJBBaULBXFXmiXiRQCpVqUIoKcZi+NzsPxslMMB6qcY8VJ+B+tOE0EL7\n5dt+QyDatD+eDXM0kBDQj93SXf0Tiae+KmZXpkGvkJMHsXBfYYC9v95ABME46Ds7Bsq+yIPbIquy\nGXcZq/qiz2SALQcjFNZk2tC829DKZip0WFQhhHQOnJOHM4GzcxCdDkxD/SAkSvsqpznniEm79UAV\nZxS0iGsA2Aa8ndd0nDrjIIa/lbDzjTyzFr1pk1UprHboVe0DLAxLpMA5wstkOsw5Mh7ajl5LsaUD\nOrRwUL+16YY2MZo0fbQ1SpIn6W4RFhJdElbBSJU3K8VkPaglvxJeXdB1rrymYlyRdBLQujnfFliJ\nkFN8JI+sNI4yIXbzFaEahQcyOrYmw4YZYnEtqSSPagknEUDK0EDIY8v7a7Oa3KJzbDhit61TWKRC\nGO3oY2GhVV7NgQRGz6D5Wsy16LvyoutlgHRezXyn3yLNZEgVQvrtop+cdvtOdgAbI0iv8c9/DEdq\ndfj/x6FQC/a+QNg85pu+G9oaZIDXdJw6zkE6o/nJEMqXIbwURDoinbChmXRFfJoQrzYbUqpRRUx6\n+7nkeZrw4hrplsJ7yYfQQdp8ZitsLUGuv6Uj/1AnrMmVMgreauVl2TQu9CByRXG/hSWWLLG23W57\nJrhqvSMEkk7GRi/XaDFt2QVPmiQptF2ObNOwVjlEwIjolMGSh1RWJiZMUGI+zy9qT/yBfWZbNi3j\nJgGQYdVYyYqrbzpkNBfHqjaEqrFQsSvmPIULJfOd4Kh9ie68aUOCo3NjFgrTSt/+QeAEHFwDJ7qc\nsq9LwaGlMDdOgAce/VUKMNThqiJzhJ2uZ4/B7EDg6A7ymo5TZxyErO0r5HpYuM+BHJgtcxexaOdC\neqHP5eVluHUo+5QmvE9W+mpL7rXCV5GAdc5ysgo1YaHRkkPoB+7RA6rUVpCzzVxo0x4yHMq/yhBI\neOfM/zI2dsWi2rLFQlJgC6fBwScNuEg9IQpZ3ikzADpHC4xE3ui+2nFavIJyz0Ie6oddm2D3Zk+Z\nNiyvoXMx4wIBMUhJhYgssSgy11ptCOlJpXVtybi9V8LC3YUt/yBh0lgrpIoIlZ42P2+J58V1JFUc\nPN3i/z8KHIbkEMwkUOiCzsh5/kPdUNXYeflIRuFQh2uuGWfrdwPJEKQGwtS9tkzmKTQOenek5N0S\ntxDkQEppx7NirpXctrFwQyFYWCagNKfk0HJCnQSdEfEo42QdpEJ2fW9RtuZc9TWdekgJheoT1CGl\nxCQ8VuGtYssKqrhDXl0VMVnCLjm6l4hPKXaOhd5Vg6P3WAjZyMNbsVAOPzJtWOVaHOKkcZBXRkAZ\nGA0S5nwZFRkuPasUS8bMhkRSTFvfoPBIz22rRG2dsZTboguNuyCsre603kFIRF5A42uJ0irh1WVy\nCBI2CZhCLru2pAU4hxCarfP3mwSOQlKAiVaY6oQ4JizDV39mYLIMhWzgkZ/HfW6jIUtvnMRxIyvv\nlwAAIABJREFU6oyDxsqmL5WxUFHdYlSnc+XsYtyLOyTfNqOnbILWOEiP7GpLnSuiWghBb8C2g2mp\nAHDzYhcA6lCNS5MeUkVCEjTL+AtyKiUmGCollxJIaHPmJhIwmxaTsbGeTJ2HhdMdE5ZJ20yD2pay\nQNhtyrYnAk6hgTy+wg87GbYuwK7QbIL0RZDMQO0RnPXuIlSXqXZA6EC/BdlseGGNlyw8OA+7OPTR\n2MgQ23GWV5BBqJlrrGHVnCyusLTzacMgEbGYz3Fj13cNtGYD5ZIDSuthvuRQgQi3+jxuFyTxMPJS\nFZiagqFeZ1eyQMVnUnYD7yCsWH4Nx6kzDor7hcpqOLnQupXFtQYKjessfKWAeKeI8NJbOaAUYV+R\nvDlXm9AK8eYJRL/m2r7XUnpSIRCcml8ZIS0+1I5nZQgrGDXMIsds4YtynxZiSuAVa8uoKJWmvyF4\nR60/t+ShBkkPKutnawl0XY3geRWu1Fm4Jl7hgdoXay+E1ETY4lvKaS2slFcKmIHqGI5g0xjYGobF\nBUqWz5BgiOSEoLCWDLK8SdacYxXUKq6IY4tCJEya8MWFWMoj2vGR4MgBKHzRoflpg01ZOBtXOX3C\nD+cwsCYH48vhaMW0qWyJxlpZi8PwZA+8PvLowRuyUcJaPfvysZM4Tp1xUE5Wcp3G5WtXEtYZqVpS\n6EvrSGqEl4aqilFIVyGzFmOJrBR/I/mrE1ZRPodT7pWEMFp7QUo/C4T6FJGZ4v+UTdTaoSZ8fGcL\nNWrmYuupLOliobIEWmSgjfttKkzbW1lWnEXnyCNall9CLI+vQZaFlALZl2qoLTHJKieVsqhuQsfi\n/ij00f0nce+olxJr4mNzjmJ/8Rl6fhWXYO5vuYocC0Mvxaiy/nYDUKE0fV8nhIEiaDX2tkJUczTn\n72E3GRUrfoxgPG1thQzcSsdPZYHVuHdcThPqqM4DDmRcSvJIBkoRzpgqFFJ7RXhxBL43ALcDKe/N\nJh6FXznLP5stPPvJx6kzDpJ5OSmt7p0kEIywcHd2cVeq7BXpLXmTUVc4pv0dlR6Vc6wQ3mNRxRWi\nqS21I6JdRsEiWrsIT6s6bZVkjN8fMAcHFLOmzMXqvJCETQ1CKNOVt7KeMMNC76SiJSmsBisxbdrv\nbdws46WVZpjJsH218M32T9BZ/dfAKzYU4pGXtmyyrT6McVohCG3r462HsCGZLSWX4gvO63ObOoQA\n+8VJlM33lmewpKLmTqGB5tOWV8tAai5t1WVs2rSkFO679jXuT8mZyvg7cLamCZeFOA2XbXip2TnR\nxotfFdcmwH74YhoO9MCxI/4+U8APzXif/HHqjINQQ52QvdLc1QgLpeT1rdOwoYOQhM0uSJbkDGoE\nOZDD0foNbUFnEwVC3pIH9c0iepHhmnM5Fvtu2t4UHFDj8i4qelKcIjhjY1oJkW4gTkACb6sWrXeu\nmrZ0neJ/GSQZGYtqyoTNXaVs6q/IHE0WLCwXFptfx2HiHC4LImJvsVHTJMlwxObvHpzQq3BKb3hR\n/a+UVRMkoyAoKLJXky0jJGXG9MGyyZpgCaAOKZ8N1fQslsC06Uhb6KR4V/e0fEsVWAnNuVDLpUfQ\nVgyyxWlc9b1qb3Y3w9EslA4T8vAdbrySH8Fjqp3RPLcBZ8KqZpfiPMnj1BkHCH1XgZtdICc5199C\nfkK9lqeSQ9F23pavsqsktaUhBI5KIa6MgeWiNMdKtdtCQbWnkFIyIpK6E3jebuZqIT2ELIKERQpj\nFVyCav+3RVTquCyeZWV1nbyijJEG0A6cBiJDqHmQRbXEml3erbUDsq5FaHonzP+IYHU1CRp4taGJ\nF/MsglArOiuE91k0EVh/u5GGXZqt549YuHxcBgCCIuuwk2nJV8tF2FSmvII8lQyU0r7KSshrSVhl\nhOXhJbjNEJ27MMrUq0f6CGvzxnE2+1pgc52ouciqvoNESUKxkufoN7fCPuALCexZTSNW7s3DGyK4\nCDgYw4UpTr/1aV58DRmLU2cc5KkhvN/E8kM2da35s5m+2LSh8ddLciU3egmuHIC4DaXzRVJKvjXf\nEJyZeCTLOQhhK8yWTNg0eStQ1NJnWRPLCwglqBOWLbeDJO9rb6y4y6ZOqrz6uvSqOVcw3W7ukiHk\nhEXUqF0p7FKImnClu4qlxnG171LyDKQ0gKovh4UQ2xaLKIUkS66ClhQhdheJpNBCHsTyIrCwEMaO\nt0hBKan1GspL2/oEWfiMeS4JAuZ8GQMbMuoceZPIzIeIVc1HGtgMmawzBAmOjBzHlUyP4jYIWwNN\n752l5ewJ1vfvppdRNrKLrTzLEMtpY4ZD7z2NFziD7f/5HAZyx+hJjfHjva+jbdlRrmn6Nu/js3yC\n36CfEe4tX8drOU6dcVClqDgF7ekoolHvRLHpfbu1YJGQtbCVsnKUNr0uy9xCkCk5KMtJCT2IUNSc\n2tQ2hPmdImxJaFOyDRQrokOdEASRZbMpN7uTh6yYeADdQOSgLKdVOAipk8WH4PASf59dBEbexlBr\noWMdTPna9GzWwd4sLmJoIO7If9CHg2u+jLTwTf9sfQQSR4pkY3xbwSmjGZlrtO5dWx5ZQ5Mx16j/\nNqMgAyw4b1GTLaix46LvZe0tOlC7SheLJJNAyqssLo6xRVkQDFgTsAFY7WRdj7rDD88FwFU1Vv7q\nfq5f/0+0MEs3JzidF/kW11InZoxevpG8jddHD5OlxAZ2U2hu5X18jot5lD9bewdj9HCMfv4P7wES\nCrTSnfn3smQ7RVhwpQzCYh3Q2nQpvmIyGXYpq4rbLDqFQHAL+gsJjBH0VkSn9E1horg16acQCoSV\nuHLKQiFay6T+NmJaCQYEY2GruzQAr5YLt7GXwhQJMwTh1TXtvNJAqCCjH+eiLDEpAc4BS2FrBMNt\n7rlVi3/Ed2sMKBdwiGETsJOQnrEEpay0WGcZNH0myG1TkQobqn6AtZqu1TyfxsfCNAmBLV6ynIrl\na2QA6uY8GVnNiSy7+mjrHiQwej6bLbAVfJaTkJdSNuNCGkbK0yl9fzDELYNfZEXmAFPpTtqYJk2N\nQYaokmY1+zjAat7MfRxhkAe4indE/8h2zuY2/o5DnMYovfwTN/G/+QAJETfzj3yDtzNBJ6/jh/zZ\nvv/CJWu+z2s5Tm0RlBbS2c1d9FmCF0YWGmuLbC3CU0mBHLIcBQQnNU0wGEIEKr+WYZLTaCPU+ChU\nUVjTRShPOI7bVENy1YLj1fIQ4Mir7fqjjgk2S7gklMo0qHPydiI2FH5IEDWIUgIpiAZJMOsooSpR\nlsy/Jq+1ORjXKuFF1e24ZcDlMRxiWMNCmJUjVNnYuF7IAF5JTColKm+u0MESi3ZLbxkxPaNN+eqw\nBUe6p6y4BEVGSryGUlfK6EjRZTwtXFQ/JVzKiiizZMMOf010LtHtS0hdV6PvZw4xOlynOpzm3PN/\nSCcTrGUfm9nJs2zlXLZzlGWs4BC72OTNWsQ43ZzFs9zBf6edacbooUSOdmZ4mnMpkeMYA6xiP8s5\nzBK/LHklBzhOP9/iWs5a8xTpxrOc3HFqi6BUkKQ3UqdZ+JIYKbtCD6VqpdzabFOhhsh9cQ1a2yTE\n10tYkVnw91Y6U7onR2gXX6m/EGRDHJmQpd4uPwMcg+LlGQIWl8JankCWSJ5NwihopNhFcYqtH5ei\n1E2bIusUu+tH6OAYIU+sMEeD5NM7hWkY7VwYch0j1N7QhHtpR0wwEidwFTsKlRI/yG2m/5pQjYX6\nZAe3Rtg9SZsRDBGKVZQKtS+O0SEPLuLKVjbajImUQ+MpVCAeR5BRiMfWo1iD0YqbaDv+ypfHwDLo\nzkFfGa5fws/f+ResZh/r2MtXB2/k8cGLOI8f00qBAq3kKLGWfczQRp2Yw5zGLC3sZxUp6mxhB89w\nNgVa2cbjLOEEj7ONC3mSr3Ij57Cd03mRaf9+zF5GKZEnRY1NvESKGn/MH/AIr+e7rzJ6/9pxarMV\niw28lmRLhsTYak6sh7dEvXXE2m1amTdtvpkQ9mWwofAMLhSHkJlTXZBCVjnhCZxc6HPJhLIi2jim\nDH/b8S4WVumJvJLnF2QVCWLjagtjZRR0QwmzYKumUC8RlTcWIrHn2k1GtUS1DJwO0VJIRmC+00Uf\n0pG1BO6x0gK1urd1S3wftS24BlieX8So+q1ng4XcitCL+AZ5DBtK2LHSRjny8poMeQf9L6Sm3LYI\nx9j8L/QlFKV2hd4sN6RKUcWpqpIrA93QfjZcA6yL6b2kxIqLD3JZ9/f4XjLLMEuZooMKWTbyEg9M\nvpnBziEylMkzzx7WcT4/5gXOYIJO1rKP73MZOYosZZjN7CBDlfP4MTvYzCh9LGWYMlm6GKeJeQYY\nZg8bKHtEMU3E2TzDMEu5gu8yVFvON1JvAz7LyR6nlpBUqKp50PYBtkZB1Y4WRYsA1l6lChPruNS4\nQhOVC4jIF4KWQ7WvSRBCFuJUUZaqYuUApVsCA8ogyqEXgFn4SnwzwXKo8xJiCalgjSyiTb3pumU4\nbX2ehfXfeghVhClel5GRkkpJ7Nb2MlBLXRuf3AC//oJra2gQmpvcbWNc8U3dn1oGCrG7/XEgGcJZ\n1hyuqL8EPEZAJZYRFimp+8vLynBZ7mCx9beGUAZBFlyGxxqLxUy02rHirnDHVnUKQsqQ6EfprAmC\ncboYrhmA9wLdKc6/7FF+K/9xLuBJYhK+ws3USNERTVImwzqG2Mta2phhZqqdpzvPZYIuzuVpRujj\nQS7nSr7D41zMVdxPlRQZqmxkF5N0sYuNzNHEWvbRyyhpagwzwBi91NjD17iRPo6zjpc5jUNUyDBO\nN/Pk2cta9qXWcA5Pcx8nf5w64yAlbWHhuh27C5fqdhbXqTQTELFQtIyAMl6qN7B8krgxkY5K89ts\nmuWu5DT0veXWpPcQ9F33KcDj/3g5fmkcoWZAD2QVwTYmy6O4tQYDm+FtwN/0OM/eILgEaTpwPILW\nOWgTECvwi4t9BJFSdD9wDuOzFVwGowr1WTiwDTa2uKRDL7B/UROjQFKE/CoojgDD0LIJWhI43uX7\nMk0gUtUPG0ZJ+W2Rl6y54hq9T1DhgsbLCopE2G4MAgt5F03a4iInzY01WhnThkKkeWAAVlxL+nro\nvuIEZ9/wBJfxIJfwGB1MUiJPniI10gwxwE5Op5/jLGGcQ6ygToozeZ4f8AYGVx5kinYKtLKXtbRS\nYIR+drGRpQwzQxtpqoyxhDFexw18lR38DGP0MshR1rKXeZoo0EI/x2lmjqUMM007HUzSwxh7Wcsu\nNrKWvXyvcgX52jy/k7+T13KcOuOgrQQlB+LqbLYig5sboQnNsxBDjYXVlYt3D2/HOdZpwqYvlnS0\ne4gIMVhEKmSTw0FrcVBKLqRYuOgvC+yFz/3ercwuHSGw7YL89tAy3VHc0jl8Y4I9Ps9+fAy+2wOJ\nhdoi+iq44o4RghJJEeRlRZTZSsk6MAM3vpUPXvFhPtL+i4S0USuUHof5KxxqGMMRrlrXMlaHOIYl\neW9kM5CMw+xzUNoKnA/cz8KFXpj7KgWpMMvWJ4jE0bUQ0JYmRVBOKSKRjLbITG1bctC2A4EfUVxq\nPYUXsmgt3PwmXv/bD7J69X429H6IKmlK5HgnX2ScbnaymX5G6GacHWwmQ4W17KOZedawjxfZRDPz\nbGA3yzjKUZZx367r6Nt4nDXso05ETJ0zeIFR+hhgmGk6eJrzyFNkJQfZz2pWs5/drOdermMbj3OC\nJWzjcbbxBI+zjQm6WM8eLuZRslT4Nm9mjiZqpEglVWqpNP/EzcC9nOxxarMVUjBbVSyZ1roSpZ7B\nKbqvEm3sFmbrHbQYqoeA2iEYlzrhVYd6R4U4hw7CfixyIipfl1OzYYlCDxmVOeAg7P4Pa/nld/wJ\nzG3nlRVyFg4P+05UCRtWSoG0ZjyG+j7YV/L1ByOEHTtShCWitrhIRNtillWDrjioFW7O8pHNH4CZ\nH/lB0GKSKXhoGq5td6jhYRw4qXslygMnJiBqgZZOKLQCL0B1Cc6SnAM8RbCsyi2LTZYRU37YFokk\n/rmULlGsqTULIqGUY7acjtCFXQdSMdeLf7HoQnGlr88473QGPnOMNww+SFvTw6zqvJsLeIpeRpmm\nnUOsYB9rKfkx7eYER1hOjVTjDdkxCcfpY5xuxllCRMJhVrCGfWyfOY/K55uZ/+MmLoyf5BgDTNBF\nniI72UyWMo+xjZ1sZgO7WcM+DrGSe7ieLibYwOPkKNHNOClqrONlrtv5AOVyltnNrUTZhDIZfo67\nOb/+I4biZVyVvZ/vcDV9blHGSR+nzjgoI6UMkjJhzYRqRK10lKdW9sG+GTuNMxZyOEsJRKSqF6s4\nUr2TkAKVQ7WKDwH9ylGNE3g1nTsMSRxROZEmziXU4piv3X4t7/zmV2HzBMx9nyCU2jNBu9jaWga9\n+k0KUyesLlPo4WHt1A5cDnW1v/6Ef+AJFsbiqoVIE95n2eYfRINWAc6Ad08ALxGKo7QJYRnKL8MD\n5zq+8TCQHHVttvbBbBV4DrKrYdtp8MBy35e90DwA8+sh2eufb3HJtQZZJKMG3Fam6ZkSnDHU/v/y\n+rCQy4FA+ggtyEAk5hyb365DKg35LuI3ncHtX/9rBniYIjm2sJN5mpijiU6mKJNlgi7SVGlnhuP0\nUSHDGD1M006dmOP0MUofaaocY4CVHCRLmQGOsZ1zeIlNrONltrY9w0MbriYfF3nWbwd9jAHO4AVW\ncYAJuriUh8lSIU+RadrYxxqWMkyBVipkOY+nqROzigP8Kn/Bhs3Pc7iynGo6xTBLWc4RBjnC9vgc\nPsf7SFHjch5ksrGvwMkdi7HuK47Dhw9z+eWXs2XLFs444ww+9alPATA+Ps5VV13Fhg0buPrqq5mc\nDHtQffSjH2X9+vVs2rSJ+++//19vXAopoyCHIoSnzJyKipRtUGWrZKqVsB2i5QJsQZJ0bXG9iygA\nOW+hBmUf9Pq8WdyquD0wNDDAOy/8PLmZEq2rx8nvm+OdbR+EW78Ecw8SyA5BVxF0IhQFmf2ahAai\nENwR5JGSq2PDuLraMUI6cxZnQUXICGarViDilVudZdyD8B3C+wenCDvn+thuH64AamkdeAZ40d0q\nj5uw0svwgwRntHLAEMz90JdZdxHIHwg7A2sCxDfYOFCoQN+JxFGKytZ7aFIFOZV7tiXqFq3pHL9T\nd1c3q3aext2Fj/B3X7+FN3MfY/QwSyvTtHOUZRxlkBnaOEY/o/RSoJXH2cZLbGSaNmLqZKnQwxhl\nMsTUOY1DrOAw+1nNDrYwyBDn8mO28hxDDPLI3KV0nXucG/gqVe8kBjjGVdzPGTzPRTzBON28xCb2\nsJ40Ncbo4Sye5S18izRVfsClHKe3EUrcyFdZmjlGRzRJP8d4mEv5c36DIwxymBU0MccEXXyncA2v\n5fiJyCGTyfCJT3yCs88+m0KhwHnnncdVV13F5z73Oa666iruuOMOPvaxj3HnnXdy5513snPnTr70\npS+xc+dOhoaGuPLKK9m9ezdxvMgOKfSEwK+JGLYLEpWNUAYqiwvTtTlRhpAFE+qUjEjG9FtpTQip\ncRVf6Z7a4Wsax8jPAp1QOSdm9Nxu2ooznPvEQxx/y/eBL1BqrKvN4hRNpc8yDFnCG6tUmmvLd22+\nve5vDMGL2sU+gjPqqAqF1JZNpSgtqIVPgtSeb9j8Nvo/NMHIz/dD+QUWvu3EE5r7gVwdpp6h8Rql\nVqA5DfszwCSUD0K0HBI9yzCOiK25gWtYcxkAoQYhnEX3bBwF3ERjnlHtwEK0ZEMHkVIiN1XQ0gps\ngA0ZeFuaN/3OU/xO751M0kGKGjO0k2eeInkf2ExRI0UbM5zGYVLUSIgY4BiDHKVGmlYKDHKEg6yk\nRpoMZTqYoplZMpRZyUEe5HIOsJISefoZYftdF7P5Lc+xmRd5lrPpZJI6MXfxCzQzR4YyE3TTwRQb\n2MUSxqgTM0szLcyykV30MEonU5xf/xEPx5dymBUOWSRtZKIKRfJM0cFnSz/Pkb2reeHx80h+kHIF\nra/h+InGYWBggIEBV0fb2trK6aefztDQEF//+td56KGHALj99tu57LLLuPPOO7nnnnu49dZbyWQy\nrFq1inXr1vHkk0+ybdu2hQ2LHFTVrHRK63EgyLec3uK1E3ISqmK0aAMCUreZROlYCwHpq+hJXMI+\n4AJ4/Oqt3J28jwerV3Doc2spP5IlyiZUv7SPhVVPeueeUivWO26ElSvhYA33CuTjOEWcwcXWisdV\nMiqyTdVZGhDBqTKhAMfCIH0n6C2YBQG6+2V+a36Bf370JqptMbf80u9AeQanyBMEUmUUihkoHiMs\nxc7A3udxhVBSzr0Qr4La+f75arjiJWUUbC0BhHhOVlrW2763UAUuMoYZc13NXKffQlxTuBjzPGAr\n9HXALwNviaEpoX/FEDd3foFfjj/DNO28zDoKtFDzapDxY5ShSgfTJES0McMEnbRSoJ/j9HGcjewi\n5ftRIUtCRA9jtFBgnjztTFOkiRYKfubqLOWou6YHlq/dzzxNtDPFHtazgd3M00SVNPPeEGYp8xxn\nUSPNBnZxOi/xONvoYoJWCrxMD61xgRZm+bvqeynPZ5l9dglPHnoD9T0pXnriHAcyTxD4O3FzJ3m8\nJs7hwIEDbN++nYsuuoiRkRH6+/sB6O/vZ2RkBICjR48uMATLly9naGjolY1ZByrkJ3SsEEDGoE6o\n2ZEjgKAPadOOahe09Zucp9YZKY1pQ12RnnuBEXjqv57Blfd9l+nX5+DHTwL3ESCKMhCwMNcubkEk\nirZe2wC/k+VPf/E3mD/Wwg/aLmX4hQuY/HEnx/+gAlN/T3iJTA6XO1xFUNbnCPlUMbiWkxCZp9JQ\nu5hETKzCmCkyP/MOvvc3l/JCvIUPnvdpmPuOv38X4W1AEBagyOoq2zGEY3wHcJ59AmrHgH5IXwXV\nEeBp0ye7TZ76LBLSrmoU56HNOATnIMSaM7zSSPiMQ9xF2wcv5213/BNvHf2f/MWyX2MnW/jM0g+w\nkV3sYiPTtHM6L5IQcYTlFGhhgm5ylKiRIqZOD2PkKVImywxtjNPti4xGSFNljmZG6KeHMcbp5hj9\nVMhSI0WaGnWq9DHCRnYBsJRjACxjmMe5mOwV0zwzdTaPdl7CBvZwlEEiElZwiOc4i4t4opHW7GWU\nmBpr2E8Ls+Qo8jxn8kByJVOFLo5N9jPyvZUuObS3DntrJGOpAGSX4+gk7TL1tgTex0kfJ20cCoUC\nN910E5/85Cdpa2tb8F0URURR9K9cyat/l8fJfjPBYdkwQfyUUIDePCWkOkNAk8reKTTV+1lseXyJ\nEJ7LiEy5a7/+ziu5L76G2wpf4DuZK/iDy34LHn2GkL9cxsLFUnYRjvLnqqNOmRv0w6YB2A5f+va7\n+WLLu/nwXR+BM6G8MsO3HryKb7W+hb/6w1+Bf9hOKM3NETa/XE8gPcYJSmEZ/iwBdcz6z1sJhqID\nmGbJuy/jh793MX/e9Kt8Zus7YM99BJSi9I9EomT6IJSg+O6QH0jddxROG4AVeXi0xaddlXnRJgWC\nfDaNqRSkeAfxEuVF59mVd+JzfJHMmW9h6ydf4q0Xfo3/+M33MLz+OMcr8P5qM3eWf5ccJY6wnIOs\nJE2VKTpoYp4qaapkqBPRxDwTdDFPnhZmKZJjki6amKNMlkGGWMteTrCEcbpdIROt1DxKK5GlhxNs\nSHaTocKysVE29u5iiGXsSjYyWu7lktxjNDPL6iX7mJ1xJOZ9vJntpbPZmnuOJops5TkKtPAsW7mI\nJ+lhlGc5mx21LYyOLuXYnqVM3tMDPwb2z8NICYo16EjBaTGsiZ1facWlod9Z55LX/YCr27/FqsoB\n2jNT/My/tXGoVCrcdNNNvPe97+WGG24AHFo4duwYAwMDDA8P09fXB8Dg4CCHDx9uXHvkyBEGBwdf\n0eYffYqGk7rsXLjsdEKl4SQLN3IV8ly8Y5QIRZVND+OKCW1xoEIP8RpCIy8A8zDxy63cuO3b1A8O\n8+n2t8HkLIw9Rqi20k47ghiWzND/kfkeGlapZRN8EDgGzz51Phe96Qn+9tPv4sZbv0V2d4Xr+/+F\n69/3Lzz/t6dz7v/aztJomN9/+8f/H+reM0yqMuv+/p1TOXXO3XQi09BkEERQEEUcFXNOYxpznFHR\ncUxjzs5gzjmPioqgKCg550wnuunc1V3VlavO++HU7lP4PP9n9BPXe66Lq+nqqlMn3fvee+211g1L\ntv/me6UFmZF8zYZRmmRhGMtKO1RSMCFtRMk8Ywpbbx3F+db3WFxQAN2rkseaWprIRRUyUSppyZ/c\nn7AFe5I3yQK06QE+Dmit6JzrGoxMS/CFVGUpGMCRfK+UYtIeKsFoXcmqRFb9XDOGcc3ef3OzbwRr\nykegaSYKlrWyOQJWFbzRDBIxMzZCySuRwEQcN34s6HW5kwAxzNiSM5CZeF/Q0FAI4iKBSgg7MUx0\nk46NMM0U0EQxWXSSTg9NFNNAKTYljJ0Q+3MrSKMHB0Gy6KRVzSOGmRIO0GbKpcsVppL9dJDNqbb/\nsIvBfPfZHAILnNClQLbCT4UnoNg0Ihvteis5EDRgpkwgzwFDHfqYyAcmQNGfapiV+S1/ssynIlJL\ndo+PzT90sHphiJoW/Tn8I9t/DQ6apnHZZZcxbNgwbrrppr7XTz75ZN566y1uv/123nrrrb6gcfLJ\nJ3Peeedxyy230NjYyJ49e5gwYcL/2O+9l2BMEKlKSSmVZTzI5CF/B71sl8xeJjV5rqR0TW09inW9\neEoGgDyIDzBR8UQNiTVrgR5olYdXeuGSmsOh6j8JBsLAkxTZkvK6E04r1jNwG5ABvjw31zme5/v5\nXzPvr7fAhxobjhrO5p5qsrI6eWDNfYxcvJEz6j4n9poL7T0FtdtHLBZD692NJb0/WAuIapZkx2+p\nfiIE0cuAXvQBKyi9rjt3XnsM7eXpjAuvZMMY0DsVouIEQ7+eqnaU85TXJMJKYBRr7iSWBwM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tBw7YrDfrCNDhNTzfrh9mJwrZJsWT9uFBLQBXpH3Ay0ob1aTufV2YxzrmU5k8nX2sChh/eDMdBQ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\nu5FaN0W6iPXAx4G7QDKFaZ1GoOhKVdenyARL9pqruE4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"text": [ "" ] } ], "prompt_number": 7 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Is this the right shape already?\n", "\n", "What do we need to do to make it look right on the plot?\n", "\n", "Hint - the default `colormap` (`cmap`) in matplotlib is called 'jet'." ] }, { "cell_type": "code", "collapsed": false, "input": [ "# A nicer version of the original plot\n", "plt.imshow(pixel_array.T, cmap='gray')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 8, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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85zVNLtq+qgz5HSg0WvhjkQT7SQNh8xV6vyIINQRKKz6r18ZaLoscvvzlL6Om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\np10LFicNaa5X4G+aOehJ53Hekx53TTh6skyBoieek0FNqgWEiWicHEc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I6/Xi7bffhstV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\nL37xi/r617+u3/md39HCwoKuXr1qDIc7Hn/8cUuj9u3bpxs3b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"text": [ "" ] } ], "prompt_number": 8 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now let's say we want to binarize this image at some threshold `T`, so the man's coat and hair and the camera tripod are black (pixel value of 0) and most everything else is white (pixel value of 1). How would we choose a good threshold? One step might be to plot a line out of the array (image) to get an idea of the values on that line." ] }, { "cell_type": "code", "collapsed": false, "input": [ "# A plot of the pixel position in x and the pixel value in y, for an image line.\n", "plt.plot(pixel_array.T[380])" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 9, "text": [ "[]" ] }, { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 9 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now you need to apply your threshold to the image to make a binary image where values less than the threshold are == 0 and greater than the threshold are == 1. You might want to play with the threshold a little to get a good result." ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Apply threshold to make new binary image, and show binary image\n", "binary_array = pixel_array > 0.1\n", "plt.imshow(binary_array.T, cmap='gray')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 10, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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MTITJZAIw6U79ox/9SLKya2pqUF5ejsrKShQWFkKr1aK2tlb0WGeRrW1tbUhKSpLMJmZ6\neCFdEWbOnInR0VG/1qkkjjkg5RTG3t5eaLVaj+tob2/H4sWLZbKKEYPFwUmdoYTZbBbWg/AkKtNd\n5s2bJ3iVRkdHIywszGV+CTGio6ND0jNVSTifQ4hz7do1QRikFkWxJDLTRYg6w9vzGP/AIdtBxvnz\n55GWlgZAntaS1Ivt8krZ6iVkuhVz586ddh2GQMc2ndvq1avx1VdfSVq+YzdACvFRem3OUIOTvYhg\nm9w0GLFYLIIwPPLII5ILA2DfDYiJiRE2mnTDx4kTJ+z2u8P4+DhKSkokt5XxnZARB8A+M3IwYet6\nvHHjRly5ckW2uqwPcl9fHywWi50b+ubNm4V9FosFRITf/va305ZpnW5lVIZEvhUeoVC1RET0zDPP\nKO6Y5OvW1NQkXEcAVFNTQ0RE169f90v9jrz22mv0y1/+0uk196ZMRh48udYhJw5ERKtWrVL8Aff1\nwczPzxf2bd26lbRard9tsAK4jticrrznnntOlvvMTMWTZy9kBiTFbAgkkpKS0NbWBgAoLS3FkSNH\n/G6D7TSmLTk5OWhvbxf9DHB9rXlA0r+wn4MbDA4OYs6cOUqb4TY/+9nPEBERgaGhIcVsMJvNwoNu\nG8h18eJFuxRz+/btwyuvvAIATjNXW2FhUDEytV5colC1U7hz547sTfD6+nqqr6/3+LwdO3ZQfX09\njY2NUUVFheLdGcctKirK7n1YWBgR/dCFsDLdtWH8iyfPXsh2K2yRw73YisViweOPP+7xDIIze9TQ\nHbLa5soWvV5vNzuk0WgwZ84cPPTQQ+jr61PV/Q8l2M/BQyYmJiRblt6R2NhYr6YWnTXHr1+/7qtJ\nPlFcXOzWcQ0NDWhpaUFtba0QrXno0KGQzMAVqLA4/I26ujqvk5jIgTN1T05OBhHh2LFjfrbIczIy\nMlBUVCSEbB88eBCDg4MKW8W4C4uDDadOncKqVauUNsMtiouLBc9ENTTRe3t78Yc//MHp58899xy+\n+OILzJkzB/X19QE1GByySDvc4R4KVes2d+/eVXzAzxPa2tr8ZpfteheRkZGitoaFhREAKi0tpcbG\nRrvzGxsbiUj9/wPBiifXnQcknaDkwJ/jYN50LF++3G5JezmxvW9HjhwRktbaEhsbi76+Pqdl6PV6\nzJw5EzU1NaL5RRn54AHJEGH16tXQaDR+E4bo6GjhdXh4uKgwAJgy6BgdHT1F7IxGI9avXy+9kYxk\nsDiIoKZWjUajEY1a7O/vR3t7u19tCQub9JkrKiryaA2Lu3fvQq/Xo7S0FMDkTAYAYd0TRp2wOIig\nlum2uro6ABCdmYiKihIiH4kIDz30kN/sunHjhlvHZWRk2AmtbaKYTZs24ezZs5zsRc1IP+QxPQpV\n6zZQgQfi8uXLCQC99957Tu3s7+8XXp84cUJ2m6zBVdb3rkhOThbdb2snEUm2xB7jHp48eywOIigt\nDNbt9OnTZDabRR8g26jMmTNnEgDS6/Wy2uN4fXy9vpcvX6be3l6X4d6MtHhy37hboWIKCgqg1Wqx\nevVqtLe3Y+7cucJnp0+fRnZ2NgBgZGQEwA99eXepqakBEXk0oGnNMG0df/AGa47LRx55BFqt1u1u\nCuNfWBwCAIPBgOTkZPT396O0tBSVlZW4efMmGhsbQURCejhvSU9Px7lz59w6dufOnQAmZyu85ejR\no3bv9+7d63RBHEZBZGu/uEChat1i27ZtincnPNn0ej3V1dUREdGRI0c8OvfOnTt23725uXnaboXj\ne2/Zvn07AT+MY1izWTHy4sl945aDAy0tLUqb4JR58+aBiDBr1ixhX0NDAwoLC2EymbB582a33amL\ni4unzBSkp6eDiERdmxsbG33/AjbodDoAk92UwcFBGI1Gl45TjP9hcVAZmzZtcuodaU0LPzQ0NGXJ\n+sWLF+M///M/JbFhYGAAb775pt0+6/iGVFRUVECr1QIAfvnLX0q+HgYjATK1XlyiULVukZ2drXhX\nYf369S4/r6ioICKi4eFhu/1xcXFUXFw8bT7JyMhIt65FTEyMXReit7eXAJDJZJL0Wi9atIiIJqc5\nGXnx5Nnj2AoH1JBMxR2sC8yYzWaPHYmc5YJ0xDZGgoig0WhQXFwsabi49XrX1NRMaQ0x0sOxFV5i\nmxdR7dy7dw8ajcYrD0N3hAGAIAy2wVFyrYptzfmwbNkyWcpnPIdbDn+jq6sLDz/8sNJm+AV3r731\nV916vBz37f79+8IAqMViwTfffAO9Xi9pHcwPcMvBC7q6upQ2wS84+hg4o7y8fMo+6wCilERERAiv\nCwoKoNfrQ0ak1Q6Lw99Ys2aN0ib4hW3btrl1XGtrq917ORchPnHiBAAI63tu375dtroY9+FuBYDI\nyMiQyW3oaZfCes50C9f4iuPA5H/8x3+4tc4m4xncrfCQUBGGpqYmj8+x7f+7yhHpK1988QWAHwYm\nP/30U9nqYtzDpTgMDw8jJycHK1asQFpaGl599VUAkwNH+fn5WLJkCQoKCgTnHACoqqpCSkoKli5d\nitOnT8trvQTYehsGOxkZGW4d9/777wuvbR2ynnvuOcltsrJ27Vrh9f79+9HY2IiUlBTZ6mPcYDpH\niMHBQSIiGhsbo5ycHPr888+prKyM9u7dS0RE1dXVtGvXLiIiunbtGmVmZtLo6CiZTCZKSkqiBw8e\n+OSIISdWp55Q2Nx1fCISj5/wxz3Ly8uzq5dzPUiPJ/dx2m6FdTR5dHQUDx48QExMDD755BNs3boV\nALB161Z89NFHAICPP/4YL7zwAsLDw5GYmIjk5GRcvHhxuioUwxphGAr4MqBoNBqlM8QFZ8+eFV7f\nvHkT33zzDT788EO/1M1MZVpxmJiYwIoVKxAfH49169Zh2bJl6OnpEfL/xcfHo6enBwBw69YtIaAG\nmAyuuXnzpkym+86pU6eUNiEg8Jc42KLT6aDVavkeKci04jBjxgx8/fXX6OrqwmeffYbz58/bfa7R\naFy6HKvVHVkNdhGR5AFNYniSE5NsRrLnzZsnvL58+bKkNjnDMeissLAQo6OjfqmbscftdD7R0dF4\n4okncPnyZcTHx+P27dtYsGABuru7MX/+fACTbradnZ3COV1dXU7XJbB1Vc7NzUVubq533yCAqa2t\nFTIryYknyWcPHz4svO7o6AAANDc3+8213HZ2JC4uDr29vaitreW4Cy8xGo3et/xcDUjcuXOH+vr6\niIjo/v379Nhjj9HZs2eprKyMqquriYioqqpqyoDkyMgIdXR00OLFi2liYsKnQRE5UEPkpb82T5Oo\n2J5rsViEff6kvLycgMncmEREW7ZsoYGBAb/aEKx4ci9dHtnU1EQrV66kzMxMysjIoH379hERkdls\npry8PEpJSaH8/HxBQIiI3njjDUpKSqLU1FQyGAw+GygHLA7OcRSH+vp6v9+vwcFBwQbr8ntWoWJ8\nQzJxkAslxcH6qxQKmzdTgbbnExHV19dTZWWl1LdhWqwCvn79eiKazC3B+I4nzx57SAYxGzZs8Prc\nmpoa4fVrr70mhTkeYV1qz2AwoLa2VjULDYUSISUOLS0tqKysVNoM1SIW8KRUQJp16TxboqKiFLAk\ndAkpceju7lbaBFWjtuS61qnUoqIi9PX14cyZMwpbFFqElDgUFBQobULAkJiYqLQJdtmoP/jgA8TF\nxWHTpk0KWhRahJQ4MK6xurqvXbsWjz76KAAgOTlZSZMEdu7cieTkZExMTNjtP3jwoMvzXnzxRTnN\nCmpCRhxiY2OVNsGvaLVajxLB2jo5LVq0SHhtTcCiFMPDw8Lr9evX4/jx43bxOo4rdY2Pj9u9t40w\nZTwjZMSBF0zxnNjYWERHRytqw8yZM4X0dHV1dYiIiMC//Mu/2H1ui+Manp7Mcly8eBEajUbVwYL+\nxPvVUAOIUAzeGRoaQmVlJTZu3CispVlZWWmXCcj6WqfTic7iDA8P48iRI9ixY4fw18q+ffvwyiuv\n+OW79Pb2CrEwf/nLX+zskAKj0Yh169YJ79va2vwS86J6ZPO2cIG/q42Li1PcIcnfW1ZWFgH2HpI6\nnY7q6+vJYDDYHZeenj7F+Wm6+3Tp0iVZ75kjUVFRdvZZHby2bNnic9n19fWUlpYmlB/M63Z68uyF\nRA5JNURg+pPLly9j1apVbh/f0NAg+DPYLnijtlyf1vvY2NiIwsJCdHR0ICYmRtLy1fR95cCT7xj0\n3Yrjx48rbYLf8UQYXKFWr8ScnBxhBS4pH+ZQSv7jDkE/IFlSUqK0CX7FmySyYlgTvaoJx1wP//zP\n/yxZq9BsNuOPf/yj1+ebTCZJ7FATQS8OoYa7SWRtEXORPnnypBTmyEZKSgp+97vf+fRA2+Lrgj22\n07/r16/31RxVENRjDqE21hAZGelVrkjHNSqs+77//nvVxTNUVFQIMytEhLi4ONy+fXvKFGYw47h4\ncmNjo/DadpZlfHx8ynXhdStCFClXpaqpqVGdMDiSmZmJwsJCWVfjUiOOiyfn5OQIm5Xly5cLiwJZ\nxdTToENuOQQR3l5Tx5aDwWCAxWJRbWq2ZcuWCcv1ERFWr16NS5cuKWyV/3D1f229f47h+nq9Hg0N\nDcIx7hC0LQdbFWWcI+ZW/t1334kea7t4kZIsXLhQeO2vPJxqgiaTNIluwOSYh+P++vp6z388vPam\n8AF/VJuUlKS4I5I/t02bNnl1nWzLaGxsFPZduHBBytshObZ2E1FQOy5JiSfPXlC2HCoqKtDe3q60\nGX7l0KFDPpdhO5hljcpUK7brdvb19eH69esKWhOcBKU4ML4h55qYUmEbip2cnIzCwkLs379fQYuC\nj6AUBzWvsqUmxObjzWbzlEhHNV5PjUaDxYsXA5j05NTr9SGzWrq/CDpxaGhowJEjR5Q2w+94E2NQ\nV1cnvLYuKuQ4TQbA6cJESmPbdTx69Cj+8R//UZVCFrDIOPbhFDmrta6zEEqbt6njbcvo7OwU9l2/\nft2t85ubm72qV0oKCgrsBibT0tIUtkjdePLsBV3LQalsyUriTSo3x4A06wLIGo3G7fJsszQphW3r\nZ3h4GAsXLlTNlGugEzo+p4wdzgLSPEmnl5WVJZU5PvHQQw9hdHQUs2fPFlyqrWHnjPcEVcshFJOJ\nrl27VjZPxkC5nra5Mjs6OjAwMKCgNcFDULlPz5gxI+iTddgSGxvrtXegrQtuVlYWLl26hIKCAly5\nckX41W1vb0dSUpIktsqN7feZmJjAz372M48S7IYKIRt4FUrCAHgfO+IoKNa4hHv37gmJYoqKigJG\nGAD7XA8ajUbxxLjBQNCIQygmkfW2X+3KWej06dMAgCeeeMKrstVAXFwc9Ho9amtrlTYloAmabkWo\nRWAC3reUHK+VtRzrfTEYDAGZsGTHjh04evQowsLCMDY2hpSUFHardiBkuxWhhNS5FoaGhoTXH374\noaRl+wvrFOz4+DhKSkqQnZ3N65X4gqQeFm4iR7Vvvvmm4s5I/tza2tq8vla25VijOcvLy+2ciQIV\nrVZr9z0OHTqksEXqwpP7GzQth1/96lc4ceKE0mb4DW8HC8vLy+3eO0Zzvvfee26XZU0eoiZsr0tt\nbS127dqloDWBTdCIAwBs3rwZBoNBaTNUzXTXJxAiMl1hm0/xxRdfRFtbm4LWBDZBJQ4AUFhYKElu\nAzUjZSBUWFgYBgYGUFlZafdguYN1mT21MjAwAK1WG5KD1VLgljg8ePAAK1euxJNPPglgMkQ2Pz8f\nS5YsQUFBgZ0ve1VVFVJSUrB06VJhWszflJaWBrVAdHV1eX2u7SKxzz77LKKiotDS0uJVWd6eJze2\nodu7d+9GfX09/vKXvyhoUWDiljgcOHAAaWlpggJXV1cjPz8f3377LfLy8lBdXQ0AaG1txYkTJ9Da\n2gqDwYCXXnoJExMT8lnvgtLSUoyNjdktLR/qOF6LjRs32r1PS0vzozXyERERIbyurq5GaWmpEJLO\nuM+04tDV1YU//elP2LFjhzA/+sknn2Dr1q0AgK1bt+Kjjz4CAHz88cd44YUXEB4ejsTERCQnJyu6\nnHlYWBjKy8uFpdOCAbnWZ6ioqEBkZKQsZSuB7eC09XuNj48rZU5AMq04vPzyy9i/fz9mzPjh0J6e\nHsTHxwPcKM85AAAOcElEQVQA4uPj0dPTAwC4deuWEPoLTIYBqyX5xsTERFA4xIyNjUle5po1a7xa\nKUuv10tui1Rs3rxZeN3Q0IDKykqEh4craFHg4fJn6NNPP8X8+fOxcuVKGI1G0WM0Go3LX2Vnn9k2\ncXNzc/3S7EtOTg6qVoQntLW1TVnUxDaa89lnn/W3SbLzxRdf4O///u8BTHqBWtPKhRJGo9Hpszst\nrpwgXn31VdLpdJSYmEgLFiygiIgIKi4uptTUVOru7iYiolu3blFqaioREVVVVVFVVZVwfmFhITU0\nNPjkiCEHUIETk7ebtzhmyCouLra7HsGK9ftGRETQuXPnKDk5WWmTFMWTe+2yW7Fnzx50dnbCZDLh\n3XffxY9//GMcO3YMTz31FN555x0AwDvvvIOnn34aAPDUU0/h3XffxejoKEwmE65fv26X7lyN+LqA\nqj+xRkxKjZq7B76Sl5cHALh//z7mzJljt+AtMw3uqojRaKQnn3ySiIjMZjPl5eVRSkoK5efnU19f\nn3DcG2+8QUlJSZSamkoGg8Fn9ZKa8+fPT/n1nDVrluItAnc2i8Xi9fe2lrFjxw4qLy+nkydPEhHR\n3r17JbmuagYAlZeXK22GKvDk2Qua2Ap3sY0hcGxaq33zVRwqKiqm7L906ZLXZTKBhyfPXtB5SHqC\nbZJV22QhasWXgVTrtK4jaskD6W9GR0eVNkH1hHyC2Rs3biAxMVH1/e6amhrMmzfP6/PHx8dRW1ur\n2pWz5aa5uRnNzc0AJqe1Gxoa8OabbypslboJ6ZYDAHz55ZfCa7Ff1mCiqKgIGo1GdOGaYOfkyZMo\nKipCUVERSkpKcOXKFc71MA0hLw62GZaD1dXaMd38t99+C2BSLEJlwWHHe6tU3E8gEfLiMDAwYOdW\n+/Of/1w5Y5yg1Wp96g44/kJaxaK2ttajdSoCHdtp9aioqIBKoKsEIS8OANDf3y+8fvvtt1FWVqag\nNVPZsGGDbGXPmjVLtrLVhqch6aFOyImDowsxABQUFNi937dvn7/MUZTKykrMnj1baTMUo6+vT/Jc\nnMFE0GSf9qRuMcTsmTlzpuJTXklJST5lM3L8vlFRUfj+++9x/PhxzJgxI+RmLywWyxSv2KGhoZBp\nQXH2aYkYGRlR/OGROs3Z1atXAQSGX4ccOI6xEBFWr16tkDXqJqTEwZuEqDU1NUE1i2EdhDt48KDC\nlihHR0eH8LqioiIko3TdIaTEwRVr1qxx+pk1YUygrdz8/vvvu/xc6VaRUtgGX1VWVuKf/umffHIw\nC1ZYHDxAq9X6VSB8HV23TXhiy/j4eEBFo8rBb3/7W+F1REQE7t27p6A16oTFwUO0Wi3++te/qj7z\nshjW7tG9e/dknR4NBF5//XXhtdFoBBGFpOeoK1gcvGD58uVobm6Wdcals7NT8lwY27dvB4CAXAdT\nDqyDsufPn1c016laYXH4G1999ZVX5xERqqqqJLFhzpw56OvrAxHZ5eL01i5HrGV6+12DDdtgu5yc\nHHzzzTcoKSlR0CJ1EZLi0NbWhp07d+LYsWPCPl8yE+/evdunPvyWLVvw+9//HgMDA5INjFksFpef\n2373UMbWAU6r1cJkMilojboIyZBts9mMQ4cO4dq1a5KVmZSUBLPZ7NE5TU1NXmV9dgdX/edQH4y0\npbKyUgjCKikpwfLly0M6tN0OiRPNuIVC1QpJVhsbG0UzLYllSnKXsLAwj7I6ZWVlSfjNXGOtk4go\nPz+ftFqt3+oOBMrKyoRr1N/fr7Q5suLJsxeS3Yrs7GzRKUlfnGE86ZasWrUKly5d8rouT7CGZNPf\nxiB4ym4qKSkpyM7OBhEF1cI+vhKS4gD8MCVpi9f5/W0gommnOR0DveTk66+/npLERm1Rp0pTWlrK\nEZtiyNV8cYVC1QrdClsKCgrsmvvekpaWJjTXt2zZMqUb4bhuhFI0NzcrVjejPJ7874VUy8HqIm3b\nBXAcuPN2vnvWrFkwm82iU2GNjY3Q6/V2MwRyB/vYrnxuSyA6bzHKEFLiYMV2MdqamhpJyvy///s/\nzJw5c8oUYUZGhuDMVFxcLCQ1/eqrr+y89KSGYwUYXwlJcXAkJibG5zKSkpIEYbAVnObmZrsowF/9\n6ldCfSdPnvS5XoaRi5BK9mKdjRCr23amwhvbcnJy8Oc//3lKvgBndVr3NzY2qn7JQCZ44GQvLhBL\nE+cJrhydxJK1EhF+/vOfQ6PR2LUg0tLSfLLDFa2trbKVzYQOIScOzlTT3cxI3ngXvv322wCAZ555\nRthXV1fncTnucuHCBdnKZkKHkBMHZ9gG4UgVutvS0oKjR48CAAwGA5qampCSkgJgMgiqvLwcOTk5\nkkdJlpaWSloeE5qErDiICYA1utLTGAlnpKeno6ysDBqNBsnJyQAmg740Gg36+/tRUVGBsLAw1NXV\ncTQgozpCThxcuUjv3r1beC3Vw/rZZ58BgCAOVubOnQuNRoO8vDwAk4v63rhxw+f6ginfJaMsIScO\nr732GoDJ1sEf/vCHKZ9bZw6k6Lc3NDRMG3VpO/Zgm9uQYZQm5MTByvXr1/Hyyy9P2W/1sTeZTFP8\nEK5cueJRHXq9HoODg1i1apX3hnrIK6+84re6mOAmZMUhOTkZIyMjqK2tnfKZNWJzZGTEbr+rhU+c\nTU1GRETg8uXLICIQEbKzs+08NKUmIiJCtrKZ0CJkxcHKqVOnpuxzNl3pyjfh7bffxv79+6etr7Gx\nEWNjY+js7JwSLQkAw8PD05bhjK6uLq/PZRhH3BKHxMRELF++HCtXrhT65BaLBfn5+ViyZAkKCgrs\nAn2qqqqQkpKCpUuXqn6p85MnT9otpGvFmzRqe/fudftYnU6HioqKKX4XQ0NDHtdrhcWBkRK3xEGj\n0cBoNOLq1atC1GJ1dTXy8/Px7bffIi8vD9XV1QAmvfNOnDiB1tZWGAwGvPTSS5iYmJDvG0iAWOKX\n4uJij8vxdgqUiAQxchZN6Q62vhoM4zPuxHUnJiZSb2+v3b7U1FS6ffs2ERF1d3dTamoqERHt2bOH\nqqurheMKCwupvr7e65hyKXGs99ixY5LmVwBAxcXFPp2/adMmSWxhGDE8+V93u+Xw+OOPIysrC4cP\nHwYA9PT0ID4+HgAQHx+Pnp4eAMCtW7fs0qrrdDrcvHlTMjHzBUdfg7Vr10pex/Hjx706z+pXcejQ\nISnNYRivcWvY/MKFC1i4cCHu3LmD/Px8LF261O5zjUbj0rlILQuVOnpFyuVX4Cp7sdUGqbwwGUYu\n3BKHhQsXAgB+9KMf4ZlnnsHFixcRHx+P27dvY8GCBeju7sb8+fMBAAkJCejs7BTO7erqQkJCwpQy\nbT35cnNzkZub68PXmJ7Y2FikpqY6/XzNmjWSLUtfVFSEzZs3i05ZSp3YlmFcYTQavc+NOl2/Y3Bw\nkL7//nsiIhoYGKBHH32U6urqqKysTBhbqKqqol27dhER0bVr1ygzM5NGRkaoo6ODFi9eTBMTE173\ne6QiJiaGDh8+PGW/bb5HZ5w/f96tOuCQN9Jddu3aJZxjsVjcPs8Z7tqrBgLJVqLAslfMVk/+L6cd\nc+jp6cFjjz2GFStWICcnBz/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"text": [ "" ] } ], "prompt_number": 10 }, { "cell_type": "markdown", "metadata": {}, "source": [ "For extra points - the camera guy has a pocket on side of his coat, that you can't see well at the moment, because the range ov values is too large to distiguish the different dark levels on his coat. Can you make a good picture to show the pocket? Hint: you might want to explore the ``np.clip`` function." ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Extra points - a good image of the man's pocket.\n", "clipped_array = np.clip(pixel_array, 0, 0.1)\n", "plt.imshow(clipped_array.T, cmap='gray')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 11, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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t2rViJef3+0kmkyQSCS6//HKuuuoqAAYGBvjKV75CU1MTHR0dYhuXTqdF1als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\nk2TlcuDAAZk0ZbVaCYfD5HI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mxowZGI1GyfDbbDYxkVXbiVQqRSKRIBQKkcvlRMcwfiam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\n7u5uVkqSuS0ZyoxXLHTgwAHo9Xpmaq5duxYAcOrUKcyfP39crz0dIZV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