{ "metadata": { "name": "Connected Components using RGB values" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "heading", "level": 1, "metadata": {}, "source": "Connected Components using RGB values" }, { "cell_type": "markdown", "metadata": {}, "source": "In this notebook we will find the connected pixels whose RGB values are in the range of (+-10, +-10, +-10) of the current pixel location. To solve this problem we can either use an iterative or a recursive approach. I will use the latter because I love recursion. Once we have the input pixel location, we will recursive travel to the neighboring pixels that lie in our range. We will be using the Depth First Search algorithm to accomplish this task. If you are from Computer Science, you should have studied about it in algos course. Nonetheless, it is pretty easy and you can [Wikipedia](http://en.wikipedia.org/wiki/Depth-first_search) it. We declare a 2D array named `mask` of the same size as input image and when ever our condition is met, we set that pixel location equal to `True` in the mask. So let's get started -" }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": "Setup Code" }, { "cell_type": "markdown", "metadata": {}, "source": "Import the `cv2` and `pylab` modules. The `cv2` module is used for computer vision and the `pylab` environment to save the image in `numpy` array and display this image using function from `matlabplot`." }, { "cell_type": "code", "collapsed": false, "input": "import cv2\n%pylab inline", "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": "Populating the interactive namespace from numpy and matplotlib\n" } ], "prompt_number": 1 }, { "cell_type": "markdown", "metadata": {}, "source": "Since, Python supports tail recursion only till $999$, we will change it to $10000$ using the below command." }, { "cell_type": "code", "collapsed": false, "input": "import sys\nsys.setrecursionlimit(10000) ", "language": "python", "metadata": {}, "outputs": [], "prompt_number": 2 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": "Depth First Search Code" }, { "cell_type": "markdown", "metadata": {}, "source": "Now, we will write the depth first search algorithm\nThe signature of dfs function is - \n\n```python\ndfs(x, y, r, g, b, mask, im, Prange)\n```\nHere, \n\n1. `x`, `y` -> current pixel location\n2. `r`, `g`, `b` -> the RGB that we want to compare with\n3. `mask` -> This will be set to True where the conditions are met\n4. `im` -> The input image\n5. `Prange` -> Is the range in the RGB values that is allowed" }, { "cell_type": "code", "collapsed": false, "input": "def dfs(x, y, r, g, b, mask, im, Prange):\n # Check if image dimensions are not violated and the pixel is not previously visited\n if (x < 0 or y < 0 or x == im.shape[1] or y == im.shape[0] or mask[y, x] == True):\n return;\n # Check the if the current values are in +- range (Prange) of the required pixel value \n elif ( (abs(int(im[y, x, 2])- r) < Prange) and (int(abs(im[y, x, 1])- g) < Prange) and (int(abs(im[y, x, 0])- b) < Prange)):\n # If yes, set the value for the pixel in mask is equal to True\n mask[y, x] = True\n # Move to the pixel on above the current pixel\n dfs(x , y - 1, r, g, b, mask, im, Prange);\n # Move to the pixel right of current pixel\n dfs(x + 1, y, r, g, b, mask, im, Prange);\n # Move to the pixel left of current pixel\n dfs(x - 1, y , r, g, b, mask, im, Prange);\n # Move to the pixel below the current pixel\n dfs(x, y + 1, r, g, b, mask, im, Prange);\n #Similarly\n dfs(x - 1, y - 1, r, g, b, mask, im, Prange);\n dfs(x - 1, y + 1, r, g, b, mask, im, Prange);\n dfs(x + 1, y + 1, r, g, b, mask, im, Prange);\n dfs(x + 1, y - 1, r, g, b, mask, im, Prange);\n\n return", "language": "python", "metadata": {}, "outputs": [], "prompt_number": 3 }, { "cell_type": "markdown", "metadata": {}, "source": "Now we will write a wrapper function named `dfsFunction` to access the `dfs` function we wrote previously in an easy way.\nThe signature of the function is -\n\n```python\ndfsFunction(x, y, im, Prange)\n```\nHere,\n1. `x` = x co-ordinate of the input pixel\n2. `y` = y co-ordinate of the input pixel\n3. `im` = the input image\n4. `Prange` = the range in the RGB values that will be considered" }, { "cell_type": "code", "collapsed": false, "input": "def dfsFunction(x, y, im, Prange):\n # Initiate a boolean array named mask and set all values equal to false\n mask = np.zeros(im.shape[:2], dtype = 'bool')\n # Call the recursive function\n dfs(x, y, int(im[y, x ,2]), int(im[y, x , 1]), int(im[y, x , 0]), mask, im, Prange)\n return mask", "language": "python", "metadata": {}, "outputs": [], "prompt_number": 4 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": "Read the input image and display it" }, { "cell_type": "markdown", "metadata": {}, "source": "Let's read the input image and display the image -" }, { "cell_type": "code", "collapsed": false, "input": "im = imread(\"/home/bikz05/Desktop/$_35.JPG\")\n# Display the original image\ntitle(\"Original Image\")\naxis(\"off\")\nimshow(im)\nshow()", "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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8rZn0LXUeUqYhiayZmekSJi1qBU5B5StUV1OpmqTbIojaTFJHWSoqu8pTnvJE1lYPsLJ8\niKwacsttn+XLd3yeL3/5ZozRjUajJXPb5jmwvMLHP/1xejs75FXGZFiSjyTJTM2uPTvZd8FenK5w\nqsKqkroqCSVceM65CKu5+Uu3khYpQVuR5QVSGf7D87/JCOMv/+ZGJALnBV5oLAor1MZbcV2QtXON\nQHuHEwKvBAiP9M36Ugsc4KTHSUBLhBLUosbjUAi0VI1t7WqY6iMe1zyMAqwH521jzihFGCUkQchc\nt4cVNVLJRjuxriEgoVh3TJ68CI6ZUScs63aXACHXbQtxCuepn8royaOzuaXiQfrpITzgfLPQHOt4\nX87xPp3TxpQw1veRUp6g1ZxMPk6GjcCEkrIsueTcOQam4ktffpAFETIr11DCkTqF0I7aA14T24KO\nqJFGkCYaiWr8EEajLRivsUqhtKZKCwIUodT0V5eII0Or1yOdVGgCtApBCZysWB2PcTZjrhURComv\ncmzh8Gmbpz/lCqLIcM89a0jVoXIrHF0+jDE9dCvH6wEuj5FO4coSJx2ZyNh70R7qoqZ/dMikrKi1\nY2bbDEcOr7H/zgeIkMy1wdoxUdswzka0wjYy99iqZjjKuPfB+1mdrHDnPXdz9z0HGUxWmaQjup2E\n884/n7i1wFduf4gvffGLZEVOq9Mh6bWJej3m9uxg794eXiiyoqaqLVo7BsNDVIVlOMy5+96D3Hz7\nnWTOIUxEE2CAwGh+5HmPnTDOSpSkbjyPrLvg1/0QTjqE93jhUd7jpsLihGAjziEA2QimgqlNPFXP\nASkEUitwDi8dznsa01kwdXU0srsuYICzgiKvGY1S+oMhw9GArJhFR/GGaXOsX4V4lPf8aUI8Bufj\nKcbZNIrx9Y/88DFPg2wkAumgLkoQjhrLU7/zW1i77wi33nQbVwbbSOyQul4lC2KoJcqVKBSB0Oig\npFuXON2mdFDlNZHStMIQ62q8jhDekaU5zkOn1WHSH6G9Z26+QzlpTAUThdjKEwGTwQBZOmbnFoi1\nweOZTI5SGMW/fea30J3bxn/9i3czXEswvYijq3exI7wAYS9G6sPUhaOuNc57Cq8YjzxhsgBaMklH\ncGTIaPI1xmNLObaMRcqefQvUXlB6iUdwdG2ZmfYsoWlTiIog1HjlWBseJS0mSGEJgoDe7Ay3fvVW\nhIq57fav0Q13UlaKmdYcYUsxDsYE2pIVnrW1CUcOrzHTa7NtW0zar7F+gHeCqnBYNDPbduG1wUiB\ntRYp1df1DJwVDeO/ffhG/Lrk+ul73wswzdtcCgFSIJQAJZoIiBRTjhEoIVBCNkRAs04I0YwjBFI2\n0ROcQ0x9Hv4kwVoPgXoBWgTNS1lAFCqSWNHpxcRxG4HciNQ0AsMpbfpTmyp+823OlHkeF5Nnc1/F\nqeYuTjJJTjDNNtleIpt742o8NWmREyaGbZfs468/fCNzaiddXxEyBB3ia43yAuka81QCBktWgzUR\nQZKg0LjKUvqa2lmSpIVSisloTF3WRGHEcn+Z7kyLIAzJyoIsL3BCoqUk1pp8kpNNUnq9HnEYopxj\n2D+C0Z5zzj2Ppz71qdz4yS+CkCitGI1KgiCk3VW04hZBECKVRCmD1CGteIHl5RF22kFwbaWPLxSy\nNriypvQTlAkQWjMcTxiOU7bt3M3Mtnm8FBR1SZ7mDAZDAhNSpp7xqODoUp8HDx4l6XbZu28vSWuW\nqBNSUzUmNRJXO6JkjrXVlKqQDJYHHHzwAFdedjlLy8vgJeiQoNWiNdPDCk8n6lGWjiwt+dEXPvYG\nzWfHh/GRG2Ejo6J58KSckgRs5Bys/+5Fw9L+ON+GRKJkM4qTzTZCSBQC1FQf8Y1wOI6p0HJ94RjJ\naBngnEdKgdaCKJB0ujGtuNNETJq9AXDON7kcm0Acbxscvxy/zT8VYQge0fG56S6bkcaUaE83z8Na\n1/iLsEghkUpQC0c8m/Ct3/p0PnH9Z+gimY80vnQIqfDCNY5r55A4NDUqjNBRiBOCurTgQQUGaQy1\nrfC2aeknEDjraMUR4+GAPM9Z2L6I9ZY0K9DeEYchEkE6yXDWE+oAQ0yv1SUbjxFUKKP59qd+Kzd/\n4QA+WyRuVRw+ejN1ZsAKkkgipCcwEiklUZyQZhll6lECbFURmTbGhFgsWTHEOod1DikNiwvb8UB/\nWOCsoMw940FBOq5JxzWTsSWIZhmnAmXaKC1xvqa7PWRcjZChYWHnHtb6OZ6YyWjI2vKYdFTSituA\nY7C2ijEheeHx0lBbT1GUVEXFfGcRLSRKKl753NNrmbAZzgphvPv6TzQ5FFNiQALSo51sErkA4Rtz\npGETjRcCJ6c+jqm/wEzNFTslDMnUtBEWNSUD79zUWQraiyZvwzV2v/LTVFchcM6DlCgp0AqSOKIV\nJcRRglL6uIjAqR2L4pQZWps7TAWb+xhOiVPGSR++rEeUzgSbE4bYdJtTEQZKgJLgPK52KGWovYOy\nojcfUocxd915gKiMiIWldCm1mN4jAUo4jHAo7UGDVwYTxIRBTFZXONuE0oMgRGtDVZXU1hIiaccx\ntS2ZZGNm5mbQUuKqirqu0WGAMQFpOsHWlm47amx6pamrAqUc7SThyidfxRf+8TZWV1aZn1ngyIEB\nwlniwFBkJXVZYWuH1iHtzgzjQUGeDZHCEoYhOjRYVROFAXOzs2ipybOMKAhJxxOEACMVOE+R1Rgd\nEQQJSa9HmHQxUYtur4vRJcIOyccpeZYzN7+I1hFKBTz4wAHy/ip5WiBR1HWN0o4oVoxGNVlRI4Rp\ntJHcMl4ZUucltqpwzvIjL3jVmT0Yx9/es+L0/MjHG+GSvnECKo9TgsgaFI0GoCQoIRBS4GUT4lzv\n+bQeNNR4rIRaNc6JdV+IFRYtFdI3kRLrmz0Df8wtKY9zFtbUjeagNFKAUo5OEtNpJXQ7PYwxeN84\n/OSUPDaDEKfqSnUqwjhDnOEOp9r8VCbJqTSM9X2O7zt6Sg1DgPUWLQ2SRuvTOiTwjkLltC/cxZEl\ny/C+EbM6BzNuwqnIqW/YIYUFXyADiQsiihKqGlQUEmiDVhpvm7e30gatFeQVZZYRJAG1r7HW0k5a\nCJr51NaijCEIY8q8YDTZTysJiKMOICmqGu81puN48cv+Dbf84wq335xjgjHeTghlzHBtTH91wGiY\nUhQwO7sNLAyHSyhZIwODigJqVdOOIoT3DAcDfF0TRwm2qlGqQHqL0QrvPdpooiRix75tCCUJk4j+\n4DCT4QF+6N99D36txWc/dTPZZMKdt9/Orm0zzHZDsv6QYX+IrRxCCuYW2sgAFB3K0jIepXjn6YUt\nbFoSKIW3ltGwz6tf+U2WuPXuD38OQYASARKNdArlFE5arHBYHA7fZG0iqGTjhxAehJtq+kJQqSb3\nQjuJ9hI1Da1qKmpXUzqHRGK8RntNLUvWFRohJFZJaqmQhKAVTli89wQqQRDSa0PSSojjCKHkVEAc\nfjOzQ6xnpD78dX/KVPJTLKfkhUdwkWyiZGy+be2woaLWnnblqWPFoEyJlWASwY6hpjCKui4oux5X\n5cQuQNcaryUSh6hBCY3jGEFuaB6+8R81USiPx+OcpRaSoNb0pGbPk3fxvr//MHo8w7muTR56UjWh\nVVn6wxZJGBCSEpWe2Ap8J6LoBPiyos5KvK/RyuKpcc4iVIhXkqpymFrS8oZ8OMK6itZCj7KsUU4h\nSo/0liCR1HVEmXuEg1YQE+sAl2foQuKKjGd+z9M4vNTnrq+tEsdtrBxwdGmZIldkQ4HNKrLhElhL\nYALGaU7cSlBGEQQBGMiqitW1Aa2ki5YhWhlsIkmrknE6odftEhsDVUkQC1QoWVs5woKJmCzX3Hvf\nUd7wHy/jkkvnqNOCQLaoraOoM0qh0ZEjbiuSOKabxAzXDlPaNlKBwkJdEaBRBJRVzvz2WRZ2dXjp\n932TaRjv/nCTy74egXh4stb04Zuuk0JOnWLH1HgvwFjQTqCRx/IqHHjZeEeEkEghEN4BDuum2Ybr\nhs/0OFIKPLYJr7oaJRxKC3otTafTpdVqY5RpSOakZKXj8XjlQJwxYTzqiMcgtaCyJQLV5L3U0NGG\nsAK85GhYkSDwWqFHlraL8UqTaU/lSkwgyY2n9BZ9XPHMo52X9Q7lfUPqWvOM73gqf/exz4APicpl\nZuuasgwJ4gnCWYQwSF+jhEdogVcGiPBSNWaPcFMNVSElSKWIopAyz6mrkt5MF+88eZqyOL9IUddY\n1fippPNEUYu6rMiyDAQEUYDSCi/6pOkEoSKeetXTmJ2b5/YvP0RWlszMzVDbMVFLU1VVU7fkQRuD\niQJEYAjbCSaJMJGh3e3RmZkhTFqYMCKMIvJhSbo2oRoW7Nuxh+WDh1k5cpS28vgKjty/RL3m6R8c\nc/GFTyZjzHvfcyOTicWEHSqvGE5Kok5KGHm8E6RDWFvJsJXCKkmep9RlRhBoTKBAOmoCVgZrTLKC\n17z8p87giTnp+XnMe34dWA+BOudOaC57PHGsv62FkBgLxgvUNElrI8KBbxJ7ps6QpiDNgzcIDEoZ\nhFbNAydd4zwVamPf2ltsk3uIwKGER2KpfUVWZhxeXmNldY0sS/E4kE06+TczvHX0ojaRDPGFx1Ye\n6xVWGWargKodUtU5SinqSuJ9wEOTMYX2zE4kxbBmVodERX1GxxVSNo5p78nHKfFCj+f+3L/jU8Uy\nSXsfnaKLiAJKm5FVNePSkxUlNhsQjldop0Mi74hCjdECJxoT1QuLtxVOOaz0BK0EqQ2j/gTtFG2r\nWDt4iKQdo5OQylooHa6qCMOAMDRMJiOGa30CKWlJmNM93CAjX72Hl7zgO7j6xVfTUd+OkjN05jSe\nGOEXyPMUaytMYOh0u9TO4iSYJEQHESv9AaUH3UoonecrX72T2//hDvIjBTOyh+3nlIOMbtwmFgmT\n1QmRShisjPBe8JmbPssnP/E1ong7rc4cOlIcPHKQbneO2hXs3LmDy6+4nKwoyLMKKQ1SC+I4QjfZ\njjgslajQicELyezMwtf1/Jw1whBwgt0shGjCQcctAtX8Lk7et9mvMIJSCwoNpYZCQ2WOjd1oERKk\nAqnQ2iCVahyo0+xS5yx+qr2oqTZTO0taFawMJyytrNFfW6Mqiia8+3jkTjwGrEcqTl44hblzynGc\n4sHJhCNuDaoVVlgm70oGosKVBVFa4h1UeUY5ozkYpnTLCZ3BKsOWBZGQ9z0qis7ouEpK0qLACojD\nkCwruOApF/OE517JPyyVDIOdTOwE62YQQUzpajKryGsHk5R4OCTJBuh8AOUEbAUCtNIYo1FS4qVA\nxyE6iigrS5lbpANha/JxH+lrWu0EqQy2qtFSEIYhUinyyYTR8hqxm6PteizoFklVMHjwTl7wby7n\nx/637yNx27Gj83C1RAUZyndRJkQHAY6mU/tkPAHrsYWlKi1Jq8N4lLK62mcyGDPTmcFWNdloxNfu\nugsVSGSoeHB5yFfu3c/El6ieoI6G6NmUIOxwdGmNH3jB89m5fR58wd4921BiOw88MOBDH7qR8WRC\n0g0QJqfMUsq0QJQGVYdIEvJCkKV9QgXGfn1ZRGfFJPmLj3wamDoR5bFSdHEcfx2v4loFTpxo4wvA\nKXmSvd580hxL2PJMiQi1kZexvpMXjdagvEF4gRYS6zy1d9Q0HvTIKNpRQDtpYcIYJyTqVKbBN9ok\nOcW2ZxI+HSnBtkmKu+a3cW//Pbo33ITKS8In7IUoJCssM6pFpmu8mjDzO3+GeOtvEX3s44Tn7Ead\nez5jCnJVYfzm92szOGtJWi3yqgRvMcIjJVzwhH184asP8eADy5w3O0cgIcsHKCewQmOlxNSCoPIg\nKoQRaCWbyBka5wTeNc9PYAK8dTjnieOEoqwoiwlzszOMRkMk0Gp1cUI1z49tvGXKaLSUlGnKeFDR\n7SYIUaLQYCWSknMvmOXC8y7jK19exUlPmi8R6ICoG2JCQ55n5FmGq2tmOx3qccHq8ipzM3OM+iNU\n5VGlp/AF7U5IZybBa0tn+wx6JmZ1dcDM4gJhGGG8oMxzsrJgbr5DPi646457WF0aEgYRUgmOro3o\ntHsszm1j2C9IooSyysBKVK24eO8TmG1vI88cw2HJ+efsohv0GB4Z82P//ifP4Ak7EWeNMJoEK3nS\ng3a8wnP+wDqxAAAgAElEQVTMNKmUx4kTvwEa34VrwqPr/xsvAIvF47wDVJMU6yXWNlqCXE9GUiCU\nQNQBComaqnFWgpeSyKgNwuh2O8RJF6RGnUIv+2YgjNAI5m76PHf88s8xM76PxVvvIr3hFkazXaJn\nPJWx0rRHMOpa0v130nnVr9A+8iXK++6gv5ZTPPeZdDtteqsZZWA2xn2089JSkdclua8xQC8MyYcD\ngmiGi55zOf/jLz/Bufk8RflV2t0AP1FUUlJLjak8QV3hRYZVAqkMwoRYafAYtDI4Wzfl9tOXkJR6\nqi3mDEd95rpdXO0oLRAlyNo2ZrFotB8tJUoIirIkr48QhoJQ70K4LlW1Qlkk7NzT5olPvpRPfPwI\ndZGgO3cho0ZDySYThPe4smaxO0MxylldXqbVavPA/geRhSdRBjkjmJlvg3AE7YDKOAoD29otJpMJ\nVWY5eOchunqWciLJ62V6nXnyMRx+qM9sbx5rLeN6yI7ti8RRD2ETsrFH+gBfFiQq4X//+f/ET73u\n51lcPId77j/Am//jL3DhnicwPDTh+S960Rk8YSfi7GR6fuwmHNNydN84KBEKtG2sETXtayEETgik\nldMiM4lUCoTE42gizY0/xAuHnaYir/s1BALvmodZatVUsgoBtZ/mYWg0Cq/8NI2cpprVG2QtcaaZ\nowljOkmLbhzQ1qLJuBNNGvq6T0MKxUbCx0mL9I51sfbr+elecHyixDGBm16P4whzo0+IeHj40yOQ\nTuIig6otI23Zm0UcjCGQATPjIbWGUoe0Jp6VNiTvu57oxo/Sq/ew7B2m2I1e/hR8//chxXbqXh/h\nWojDy/g/fRdxFbEUVLR3LSJe8lzMJGLSiokBKttk6muHc8XUIb2edXds8VOiDqRCSEVuHV4H5NKy\nVxu2X3oB19/4aa7Ql+CFo5LDJhSqNM76prGOt8hsgrYV3kisbjJvZT01FacZo652VFh8oFA6oipq\n6rIgNJK8GmMp0FFIEAU4V+GqgkBLhLcgDXWlKUpQgSWMKqRz5DaDSrBzdoHvePoTuP3OOzh4sEO3\nt4ZPFUHdJVICyMiqirVRTqvVpkpTWko32mvt8ZkgG5eUtSTPLZOllPpoRlnlREmEM47SVMhAbqTD\nu9qDq4laIdZbRuMMUVXowmF0xpXfeSH3PXgv5UiTJBkXXLKLK596Hvc/9CV2bDc86eKdeOtZWOzQ\nntVccflVj1l2z4oPQyPQUwNkveOWdA5nHd46sG7aaKUpNBNiarOvF4152wwk/FR4/Xq6V+OzYL3S\ntak9WU+oWhc2KdcFsoGcCj9TImCaSl6VJWlW0B+MWF7tM56kWI7lIzh3LGLi3ONSYcJ65e7Gp0fx\nUSgBhbZkVU67hCoKWNI5rRImSrDcaZGLiHxckUQGUxRkOxeRLmCtzkAqKsaYtRQ7TOm0wGQQ5DB/\n3vn0nvcM+naZGb2b8CU/hvQLoA1COCbGMY4VhTD4IkT4Wbw4M9/GfG44VFgufnKLy178bN51eBlb\nK4RuU4aGgS8Y6ZqBryhKS12UZP1V/NIRouEabZeidY6R07waC4EOiE0LQ4BUEUHYwdaCfFISOA1p\ngc0LnKsxRoOUZGWBFZ4kCgiUoC4y0v4Qm5a0TMKMiXDjMfVwyI6ZDj/3+tdy2YXnsPrgExmNQip5\nhLTsAx0EhqSjUaaidhPKekJlC2pXUlYZ1lmcr6mqarqUrK6ssry0hFSCbTsWCLsRdehwGPKyBiFp\nJS2CaYctLwMeOrqCCNscWlvFzLTwrcb0nptfoK5KvvLlL3L3V79MNVmjLlZYXrofrcrH8Ewew1kh\nDOMbwlDTOpL1SSgPisb5qAAlPEp4tFJoJTe2VUI2bxzZEIITNEQxTQ8/Pjx7LNnINerqCRmV08Iy\nz7qeghceJzxeOMqiIitKBqOco2sDVgdDyrKcOmg5ISTsnH18Ls6UH04mjVMSR10jq4qqHTDoBOzq\nOzSCfM7R6d/HwuGHGM0KbDtgdTJCtiKiK5+E0HOgPaEzCDlELuxh0G4xygRV0OGgkhyamWXtv76d\ndO0u3O0fZ/CjP0Tei7AzOZUeQDFh19qIuXqC79Tk3YJKVmd0unUp8ckSZVHygh/5DlrffwmfHwRY\nG5PoNto3msRQeUYOqtrhxyksL6MOH0KuHYZiFWdTvK+woqlstkJgERSVRYcxcTyDqwTlICcoPcV4\nRNofIqwjaSVIHZBZR5qOCI2g10pwRclgaZWsP2FGB3SFQkzGjA8dZu9sm1/9pZ9loXMJM8klZJM2\nUTyPkIqklaCNJm4ltNodpDR4LzAmptWKCSONtTV5nk8LwiTUnjiI6LXbtDotgrZBtTVRZxahQ7Ki\nYnV1lTyfsG1+lm4yQ6K7VCnceft9CAFBKKis5t57HmDpyBKjtVX6KwcRdsKhA/exdPgAxnx9Tvuz\nQhhyqhWI9XRL6fHKI0RTii6kn8p/s836W19MNYCNdcI11sw0IxSh8E1ROwKFFPrYGNI1NSRKHStw\nY13op/qJYEPLaPrrOGoLqbX0JxmrgwGD0YiqqjiWe30sZfzxxiMSxRRCSjAaNa6xZUWpHWbG0P3d\nP4crvw/79Bex41d/lwuLMX3taKUBbvcuRos7iXxNiCIQOcW3fxfBrnOJnUMWltnI0+tbVNFhbrKb\nrDuHWRuzc7WGZUXiF9F6gdUdC0xMSLBW0ho6ZHVmmlY6nxFMDLKeo1uW/PJbXsaBi7ocsR1M2SHM\nA6QVjK1l4B2FMngVIKqKenWZ/NBD+OUjqMkqQT3G6IJKpqR2TE6BDiVONlmiUdLBObBZyYyJCGpL\nMRxj8xqldPP84XDWIvBEgUYB6XBIPhzTCxNiBDNaYbKMnYnhd/7PV2GKANu/iAP7HXmd0R+usbCw\nG6Xb1E4RJR2CsHHC6kARTju8BYEhDAKk1OAMs90FEh1TTDKkEiTdBBUZRBAgtQEEtvLkaU4xSKnG\nJfu/+gA93ePSvRcRlpY8rzl46ChHl1fQYUBeFNx97914L2m1uywubn+0W/KIODup4R/9+8ZXIY7l\nUjTRUzmNXjQ+CT81OXwN3tupxrAuq00hyHpB2gmmyDSNWxwn1I21r5DeI72fmjaNQOqpOdL4QkQT\nVBENmzqhkdpglCKJNK0knKqG4ZRhGiebbwIum6KpiTneRzH9fZMqVs+xSOmJTXvYlJM8glIpZiaC\nRBoeahVoMrLX/Dpy5W5KOaB/6x3Y8/fhr3oKychTz8a4u79G9MXPI3yXMk6pf/ZnKM7dSxIpZHYU\njnwVmS0h222iokLZgqyd4Jxm0g7QRx8k/eLn8Pffh5MVYvsckUmwld30NXQqOi39hKhawOkS7yy6\nyOidv8gNf/clEhGzq9NmMl7FKo/yCm8lQunmzF0NtkYUDpFlqDJFCYfWgiDURIFGSoe1Fd47lNYg\noC5L6jRFuSYsq3TT7NchCHVAVVvyIkdJiQkNYBlOcrTUBMYQR03xl3TQ7lq++7uezZGjQzCK8y7e\ny8VPvJD5hXl6M20WFnvMzXVR2uFdRRBogihABwYThGipsFUFBAghGawNOHr4EFEQs31xG1aqRhuZ\npGB9QzBeoVqGybggafeI2gmry2u0VYu8rJFSEASKoswIwohzL7yQylVIDUeOPMRTvuX7TnE3Hh1n\nJ9PzY39/LPlKglcCv+6knP5z3uFxOCzSK6SUKNV0ztogDeE2nF3rzkKHbOIiU8Lw0yxPYNqazyOs\nB9eE37x3GNWYGOvp6Eyb3Eigdk02oZGCTqzpdWI67Q5xkrDeH6JpKnMcJ5yEMyGM5qLw8PVi8/Ed\ngpCIdqE5FFXofMK5Qcj4N95FsDZhxa+xs4DBsGTmFT/AoLKMY0GnGFH91f9A60XKmZL42rcQCmi7\nPnf/4rVEb/gV2v/fB5lYGD7vO5gdhgwqWJyR1A/cgHzWCwnf8cd03v1uqne8m/FXbsdesZt6+xzK\nPrznwqkIo5W38Z0mwWnckvSGim0zcyx129xx2/20swmzHUOWj4l9AN5QeY+SEAaKEI3IHWI0wE9G\n2KoA77DWUqYTRsW4EXqhmg5cUjcO8ElKEsZY7xmOJ1gEQRRTVxaPwOIoqgLnK4JAIVRMfzhEa0MY\nBsRJTDaZMB7V7Nrb5mnf9SRKFzMY1wwnS9x5zxc5fPh+1vqHSLMVwhB2750n1AkmCDaykSVQlzX9\nQU46moB3KKZ+mDBmVBbEQQC1o0pzjDRoFTKJSmbnd9CZnefw2hLGRJyz4xyscywtHeZJT3oCP3z1\nD7O0sspNn/s8d979RUwIh448wHO+59+f4m48Os4KYbzz7z6LVU3DXmgarlB7vIsQQqFQSKmQ03+C\ndQfmuhahmu2sQHqF9w1RWBo13mCbGLu1DY0IhRIKq1xTpbJe9IZD4KgwTfNgqZGyoS3pHQKwblpF\nKR1a1sx0YmJjiKKIIAwa4baNmeWb3MOHaTZ+neE2loeXvW9gPf2dxhF7jAqniWU0jZOnVwUJWCrq\n2GPKigXdIe/XLPs+3X/8JFmUoGqBvuxCVl/yAtoTgzeC8JwF/Ls+RzS6jdH8XtzP/TT4FoP+Ctt+\n7f8mXRkSxiF6xwzhs/8ty0Yz5yP06CjjZ/0oammVsdpOoXYQ2YzWbV/EfmY/+tLLEHPz5HGCcZ7M\nVHQLQSUVJ10EQFDrCueaex3WgioUuBCecMVubtt/gMFXBuzTEZmWSA+1q7DGUFlPXjqkVpjQEBrV\nXJuiwg8nkPXR9YDQCnRZEkiLMoJSO0gCTLvL0soK2jl29npULsNri1YGIwShko02CmitkMohfE2Z\nT/A4hFFNVW7dZpKt4kXJFZd/K/feMeCWz97HcO0rTA4FjB+oSJeXKcZjbDXh3CvOw0QBWsYoGaGV\noXQVkhohPc46bOWZDFOEFSRRizyvUUFM0OlQUuJ1TfecReb3zLN97zwL22bwIuOO/bcwWFlC65pi\nMuILN93MXV9+iOWDjt27LqC2ISpMeM6zXvyYZfesdNxaz/SUfmPFhk9CiGlocl1sRFNQtr54wE0z\nHL2cxjSnVajST5vsTCMrx8rNpw+oA4Rk+qdJQEq8Xf8zBE0366k/ExCNiSE8wjnqqiZNC/rDlPFc\nRlGURJFFCAVy2oXr8QiUnBhtPQHNufljf//EN40BQySVc5RGsCQKooWYuVe+gOHnPs2+v/17Dp6/\nj5mXv5KgrulgaaUJ/cRQfeeliPfcxMLOnfS1Q5QTRMujw4BWu0WW5eg9e5BhjK5gZCYUf/A+ooMr\nxEIgXMbhaEJoHTbpcPiOT3PeH78Ldd2voKqaqiyIjKJQAudPYbIJyfFtAZr7ACqVvO7nX87/tfr/\n8Plba55uQ9Iwp1QQuJLSWry1pDn42jNWnhJJ5QXOOfSwxoxrpDmE0AoTxaggIDaKME7wC9uoOpL0\n6EEODR4gSBS+L6C7SNBZJBUBuZbEgaa2OcYpemFAmpZMlgfgFHG3S9IacHQ1wZU9nL+fV/3ItzFa\nXuUvP+iZ23k3hXuALO0wyVc5ulSh2/dx3rkXY7UnntUcPDwGVROFMUpqrLUUeU5RZPT7A8JujMCi\nTUia1cRJG4VjNu6x/MBR7u3fQz5Jme0l7JzZSaUyrLJksuQJF+/iZc99KefOn8MXvnwn7/+b9+PN\n1/eQnhXCUAiEOymtWTZFYuuh0GNiK47lT3BierRTrunUJTzquIpNJ04ce2M8N9VUpERgwdomz0Po\nKcFMtY6N3n0eOQ3l1pUgTWtW+xlrw5SZyZg4jjEmaOokvDilSXJGOLXiccI5HXOGepwXVHWFjiMq\nHAfXlpk7dx/xn76dB2/5DJ09+5C7L6VlYx5QY2Jbsj3sMbnyUpL3tOinA4wzzK3V9GdnsbOzhHd+\njWFvBvU9V1EenXBeb5aV4ijD//5eRFuy1BfsEAl7rGuKnoKIHfWDyH/8Emv1iJgWXnpkaal84yvw\n/uGFOOK4n96va2VNeDRLl3j2q17If3vjf+cHtl/J8MAnMQsGZZs+rLWHzDlkJemPUkbeMjEBNgiJ\nlaOjDK26RHqHmaQYJZHeUQcGe+gIkZC4Q4dY238PkSyZn4tJ9+zFXHg50bbzKLyGuqKrFU568nxE\nErUInGZlZZWydmyb30c3GDFxR0mXPUZp3vJ//AfWslk+9P+vsvM8x6Ejn2fn4sUU1YM8dM9RAtdl\nOM4496ILmJvrIXXF1/bfdyx6JwTGBARBCK4mDDTSKAaH12i3WiRRi6X7j5BPe5tmE8faeIAb1eTF\nKnufeD60JK7jOXD0LtIjD5KlMWmWc+cd935dj+dZIQy94atgo1QdGgcoYj3E2Yi/P+57YCr9615B\nzbFun+uZGL7ROORxvoL1vp7rPRc29PymclLY5jhNxGQjxQq8R4vGOyu8oKgEg4mlP8kZpwWzRUGg\nDFI1YbzHRcN4FBxPHJ6pd0YLhBOQFnTCkFC3CEaWqrWDyTNeSldbRsOjdESHjmpTaEs6mFDvWmAQ\nQuvgUYr7HyBdPIfDuiTYvsh2USCffAnpt1/BbJFwZLzK8LbPs3PtMHVaULcMD9o19qaSZRMg8hSj\ncvIn7aWa6ZHZirYJUVh8Oe1rstn5nNA78dh9ztWEMOvyrecvcvhVz+T//Y1P/i/q3jtasuyu7/3s\ndM6pU+Gmvp17snJgFEAgQMgEGTAIkcEP9BBBfnoomfVIthA2Zi3Aj/UswgMMmPQcYGEsiyREkpEA\nYYQkJCQmaFJP55srnrDT+2NX3b7d0z2a1mjo5b36rLq3qm71Oaf2/u1f+P6+X77k1lsJ9aPUMaQ0\nk046NsrkDAQE1zCNgVE7ZU9JtqWij0YjyLSi0IkrVntHYUeU2iByg+yWTHdHmL0Wg6BxEl0Hiv4a\nrvVUMaJWC6JLJVudlXRMoJrusO0GrJ2UQI1tuww3plgx4od/+J+w0q95x+/+HieOvITaPUoQktFG\nw4PNGcbVlLpu6C91GU2H9Ds9fAg473HBo1WGEJpqWhGkpLssGaz0yHVBXdWMdrcwytAvlzEkAFom\nCzqH1lheW8Nmno2dbf767z7A3bc/nRD7fNbLXkB5X/dJzb+b42HEefbgwI6ZEoee/T1n3oYuBFdQ\n7M1JNRFCoFHpjSElEhI/wyLuv7zjx/nil1JBDIuIB5RCxEB0C+mCFMbIBbOXuAy6jgHqNjCctOwM\nJ4xGY6p+N4nlmDwZn08FFONxQpKwbyjn5xRjYlR3kTIriM4TXEJHVsrjXcupokcbPVle4sZjSqPI\nc8nEO8xyF5+DHu8w/N6fIvzLr+JEv6C9/wyVdNRf/wWs6jUaBCGT6Hf/OfXwHG3sIKRipe2QHb0D\nfXsH/8w1zPOeTfayLyRmA3ZnFh0kLgctksrctRyweIUneOAdWlDLSKf1fP4XfgYXHtzk3b/9YV5+\n/BAiDPE42uiZOYsKnqVckGmNbh1dDxUi5aqExvmID2BtJIaAkJGOCOwFhxCKsHqEWsLmZIc79xpa\nd5boHcWJWxDZEnuzSNyZUeQdGqGQWUG5tIwi4tp72Ht0hcGhdVTumCnL6EIk+DO8/v94BRrFL/7H\nX2P5aBfrJTO7R4gVUcLFMxtMdrvUbUVHGjwR5z1epOR7iIFq6rDC0xmUHDu+Tj1rmUxG6DyVgYOI\nSKORWmJ9oL+0RKZzfNtgg+eR6RYz63juLc/hofOPsj3efVLT8+bkMBD7eqpXiuGElNBcOBgHQExX\ncmSk51Qi6Usl2H1UdkDNuTAuvzclI6WQhJjeswB5LRKdIbCvXZq8QoGILoU4PvGCeu+ZTCt29kbs\nDkdMlnqUnQ4iK0l+06dgXNdLufKFxULLtCFYT1VVaGOwGigz9lzN4b/6COVffIDdz3wu6q7nEm7r\nMKXmaXUf0WYM//4cRyaezV7F4d/9PS7+4a/SaxX9bolEszVYpfGRGD3FIxfI/v3v0rqa4tVfjnzL\nd7F76lmcLfocbyr6GZy1HfSkZnB+zOraGmZasUnDqi4JSqCuY1CvFmMSQqBDzqg/gSqyUvb5xu99\nJf/3hzc4v7HD0YEiCo8TERs9jog2ilJLujHjqBQ0RBoBQyGYRY91YS6CBEppzMyRFyWIAqc7qF5O\n1eZcPPsAxcqEKGqUrBkcezpWL1OOLKYJaJNhJzOmwz102UHlHUTrGI0n9I8dxWpJ3xjGO2N06PPm\n7/pKypWCt73tV1g7tkNQDu9alMgIjaMKLVXV4vMGIRNmRBiNVAmT5K0iK9LG6L1jPB0iNfTKPrZx\nBCDrdsiUJATP1u4uKss5c/YMebfD0voyM/aYbX2Eh89cwOvsSU3Pm2IwAhZkQnUunoFAIIMgifMu\nyKSTFdBSz9/lEWIuYCQAb4nCg0wksSYoZDC0Ku5XTIiwIMuRwSXaP5GYwIPUEAUKR1QkOYPoE2hL\nRDKhEl+HTEZGS4ltZwynkaq17OxOGPSXyYoWpcQ8j3E5vEnXMAeo3cBYGK74ODHOYnG5GJGZwYwd\ndCVVqBhYwfoH3g+vfT0PnD3DwAqyskA/4xSdW+9kZ2mGG7fo33uA81rS3z3OTDm6qmS3dOSNo/aH\n6b7jf6D7Be00Z+//+TlWxw+y+TVfzfFf+Y/EccQ4WNvYpNuUjAYlHTFkJeSMuwVST1DG0RU5Ux3I\nWgfiGhT3B5PTc4rDCEQHh9QyszBj1jYwC3zTv3gFP/MvfodXeM+6coh5dWuMQUw8y0XGoAzIegpt\nIBclnWi56GsuykilCjSKno/MTIepD0hRYQpD0AWtXGcUa+x0k87mFoecYxo7uNsKpkWfOKvpBEs3\nMxAkoYlI3xKbXUQ2ZO/sLrI7ICv79CuN96dpxZg3fssrkH7ML/7m75GJCh8nCFkTbaSqLTqPBK/w\nrUcahRICHz2tbJE+ESVPN8fMRhUqLxgMlugYwaXpRZyb0ik6qE6R1s1Fyf0PfZzhbMyzX/x8imwN\nJyVbdaA8fIS6am5oLl49borBkDIBb+K8tLB43Icc7HscMv2Lkog/gLdIXkMQ80UuBSIsIOLsey9i\nkSc5ENJczcEhpJyXWK9cnNfzFmKEtnVsbu2w3u0yqyrKXi/pa8jLt3OB0bhR5u4bHTEGWgEDY6jb\nwErI6Y4DFy7ssXZ2xCHdpRssI5excexWDn/O56J+/j+wdO85xqqkjLAkMh6WI7pOoEJgK9MoHTH/\n7d103/nXFNZAs8NmFjh1yVOPapZsxsjNkL0eUxmIykKVMYqaKjSstjnWSNqmoRR5Ysq6AbuplKJt\nW5RSeO+JEe6443a+4JtewDt/7H1841pBfshiRw3LpmLiHbpJRr7QOXkMtDbtwCFC4yMj1xKlYiIU\nuUucr1IItA8oqaAoaPqHqLylnTaonQkDfZ7MZJgjt9BGGE4CM5sSkfgpWdZFKYma824IVyNqwVIm\naasp0bbs7Yx43Te+EhtqfuJnL3HqTmiaSOMypN5Co0GlCp+QEPGEALYNqKhobYN2mr5eIosGWpjU\nDb5JBQQ8CBdwzqKioMwLVKHIuxlCOYQCh8fkGaXJn9R8u0kGY+5B7EOf4xy4ebXREPuU/iEsDMX+\npyStklR02i+BpqQp++9Nn3cgJ3EFenIuoah8ah5bGJr9RGs8cLD/2DaRjc0dTqyvMZpNWPJLqKAS\nR8PjUPg9FUMj8M7jo8RLRV/m+OEQd/ftzJ5zjOKjf8fwlmdSvOqV3P0938eZpcjWe/+QtfvuZZb1\nKRuBiRYdA126HPcZu1XNSFsKoRm5ipHdRWuH0x3c+/6WlXs+zuYz7uBw0WNcR/zyjJ14kaPFSWKE\nMMuI44hfzpA4MieY4VEL1+kJDGstSiq01oQQMMYwnsz4uq/+Av7igZY/f9cH+bJNxXDNs+dq8qAZ\nO0tmBXlmyI0A2+CloMhytLM4oFKCiQLjIkpIpJAQPDIGtNb4pRWsTrgbv3OJ6vwFlrCYUqLzQ9i8\nYFYJCi/ROIauxkRDTmqPVzIgsAQXESojryxusseef5jX/W9fxfZoyNt/609ZPdpjFP6ao/1TNLO9\npMkjVDIaYk4bGQJ11SJUxGQaIwzYwLQaE6Rgqb9CaFuUgELnbG9t0/UZ09kUUUqE8NTNhK3tbY6u\nnkrsZNclqn6i8+2mjMXEOQDbFpc9AVigIyHlNZi7rZHLgUxa0KlnZGErAlLElKFcvOXAEAt6vqti\nZmRqbd5/fv9PDxqKReVEEL2iqlr2RmNGkx6zaorJDEpdQ5yYG9pYb3hIoIiJdT0IwXaY0T2UIXga\n7R/+CX5rG7vcQS0t8+iuJZsYVteO0adDZgNTbTjXzuhKydRbGhw9kbHsAjuiQosuJ3yJNRExmyHk\nkEs//jZm/+lt9IcV+rffSfWf/zMnHnyEaqXL0mtfjfrmb8TmJa5uaanR5CitwD9xWr8sy/DOJ3Tm\nPJ7P85y9UcsPfP/n8oPnT3Pm/j1OuikbSiV8b5CMvcc4yUBrdG5SRSREugIKH2llwAKzEFFaoOfa\nNoSIij715Swtg4Zpa5kMLzLavEinEKwdD+T9UzQIps6RBWjwGCSWiPQeYRsijoumQ6xbultjji6v\n04xqZmcv8D1vfg2xWuH3//idHD/5PMbDR8jEIabNzj7wT6NQUuJ9IFM5qNTGMJ2NCEJSt46i22E0\nndAvSmIU7GxvY9uW8bTFA8vLS/gQ2dnY5tLWBe48fhdVVRHdjVErXj1uisGI4TLKYoFsTL/Ns2IH\nMAYJoHW5MiLmZc70ty6VPIPY1xiV0e3H/gdh1YuPvWZDlxRzQ8C8miLnidcFrHxhrCQQcTbilGRr\nd5e11S6jyYiyLDCm/Af1LgAcgUIoai0pXGAkamKpWfuRX2Dnz96JvvVOsh/7btqmICej6Rh04whF\nQNhAQcFMeHJaWukYa40LgtwGVqLBekUrWi7amrXOCrK5RP7AQ4w3t5j84Qcw3/191JNdqv4K+Zm/\nZ/cnp7QvuxtufzErlWJkoK4sQWU31Om44HpVSqKUTB6HUgx9xYlp4Bu+9RX82g/8Aq+s1+nlFq8q\nEA9ruLcAACAASURBVIHKR4bOA4F+lmFqRw9YiTBzSQunihEfUre0knFOFC3AC0SoiUqjsj5h6RiT\numZjusPy6fPQwuAWgeit46KhtgKjks4vwSV93xCIMUkOyKDoZwX19oi20LhMYB/a5pv/6ecxmc14\n+x/8Fidvu4W2mRCjTvm4CASdBJ68J3iIOiAL0KWis9RlJTc0dY1voJ7McLWnKLt0Yp8oLM4JvJDs\n7Y4JHo4NjjMbTqiqGp7k/Lw5Sc+ruCP2OT5lJIZFiJJQBhGHRJEWbppyYhGqOABJDIlGR84PT9wP\nKQ7mK/zBZORVRiNe/cvV9/VAL4iznpgrhpMpo+mUyXSMbZehvFzRuZLk5qnzMZyAKCSTpuZYLJCD\ngjDawv/qO3CP/hV1cZYTX/31jF5+lL1eTe4s481dYjOlNiVrTY6UJa2bUYRID4EDrMmoVcQ3DTlj\n7spX2GgbjpoVPqzgmWLA+bP34MZnuE2tEPZ6SLFOs7lLKwMXpWO1bsi7BltfidF7QtflLL1un9ls\nRl03LC0NGI8nHOoqzu8t84JbO/zPr3g5v/2f7uF1WWTcnsVrcFJSOYtGkufQ1RKhYFkomnniupIC\ntdBNWbDRz+dgphWtkJAXqLWCXe+4uB1ody+wUT9MYwSH7+qQZWs0rSJvZhglUCpDKIhqTquwO6TX\nX0bUe6ysrLCnIucmW3ScpX/0OK9/09dRuR5/8Mfv4OhtHyRM5HxDC3OOmEDbBNqmRXUiuSwpBgW9\ntRKRK0701jn9wGmET4l5Fxzrhw8TGsuF7UtEIfEWohf4KrBxYZMQPPpJVkluSi/JO971V0glMLnG\n2opCC7paUYsKcEjlkSoiRUAKRVJxSm7jQjIgRkcr9FwjJEBMNH5RahCKKHQ6SC3vgVSznrPlpDBE\nqQQoEpYY/LxGr7FC4qJEhUUbPSAEIWpC1Citk1C0CJSdnEFZMuh06OQdjNbJ6Ik5G5cQ+xD4A+mU\nGx6XQWnMj8QmlnnJVEUK10LRgVrjuj3cqeN0T96J/4YvZu/LX45sOwxch+nkHNmvvp3ywgSNp4mp\n0UqT7pcXc0axEFA+UKLYzAVttHSCojq2Qvmjb6F6zt3oZ92Oe9cHEHtnmeodyk7JI9/zBvQLPo/V\nvGCIRdFBK0X07ZxILF55zMcVxMaAEBLrXLp/SmGtQ0jJxBkK7ZAm8KIXPY177nk/Zx6YcWfRQbCL\nKKGeCTpymVY1FJ2C4D0qejIVwDVoIoWQKb+iAz0RyEOLyiJKKzKgC3SUROqcIDqUCFal5HA9Y7WZ\n0S0MoluAb1EqYrFUsaWRMPMRJQyBgMygxSGDYBAL6uiobY3MJF/4jz+dc6cf4tKDHXQ5xbmGTiFp\n6r35PRAoA0VZkucls2HF1rltxhcnbH98g+loRH8t5+gd62ACPja42OBrh5hJJpdGCBdp6hmu1tip\nw05avvPb3vjJTUJuFg6jSAjNIDxCCWx0OOvIRJ4WAvPejjCfSNl8sh3waUUEGeYiQWllJp4LKRKl\n2TXGY7yK+e9aKKQIiRowpg7CmLq6uAwk2xdxTCXZEGlbz2g0YziaMJnV9OoZUi/4JBUwZ+d6kkzN\njzemKpILzbro8JCdsNoYLh6KHL9jjfyvBO3GNsXZ86hbTtHZbZn9q5+j++GP0tGKzSAYxIxGRET0\nBOTl8HBu2ByWI+0yGY5L5iLTH/sBTnzJlxKHnot5wdFf/XF23vtnrOgBF1dPsPb5n4nRObO6TuxQ\nEaJ1n7JQLZOgnaOtKkRpeM2//HZ+/E0/xZldwxG3BmqXWWk57/c4Mc1wraXQhlxIgm9RWjIOLdMg\nqQUQFTlJ2tE5lxT3EKgYkcLTZNCu9GjtOtVUMqlGbF3cJAuKwa2SYFYYzixoMHlOcIEsk2gCKjqk\nByzEuQezqk+wu7OFE6eJheX1r3s1P/9zb+d3330Px0+epKrPJz/ZO0Q0mDynbRxtM8RHSyRgjEYG\nsLLh2KnjHFo+RlNtMKynmE5G1lcML0yY1I7Wp45skY3Shvgk7/9NMRiNm4JICuxFoVAqNZpVQ4vU\nGki8j9LMu1m1S9n3EHHO433A+0DeSV5HmJdSBZHg/HUnp+DaKmSJZ0OBSP0snnmaRGmS0llKjF2W\nPUhlvtZFxpOa4XjGdNZQVRV5p0hlYxGfbLj4hEaOwk8bqlyx5GA6gFusYPbqH+Ti/X/E04Nm+EP/\nmosdRZa1ZLXgQrfLM3Y1mS4ZS0VNxZEome5zic7vlhBURtB6h/UTMpnTP3aE6SXHXj+nN+ujnvF8\nlp/1HCYyxzaa7qSmZobUBiUlrm6RQqKVxPHkMvQARId1Db2yYHs4pNEdXvXGL+Odb/1dXuz73JU7\nRDFkIiJ7Q0G0jhUJAxQ9kbGmNBM3Y+g9U5HU83KpESppnQg/J1oSpGSbAtnrYJvDTBuLn01hOqRs\na27tCIqTLyQWBofC+iQmnSuFkmpflV66MO9oCGDv49b1k1zY9myPh/ROat70Xf+EMxdOc+bCx4i6\nQ7cLtpqhhcK7mLwrEcl0hjGKXGc45zAqY7zZcM/sQbb2hgituf1ZRxkMloku4p0ltIFMmTnnxpXU\nlJ/MuCkhyW/9wbuQrsZXE2IzI7Qz8DXaFJhM4GOLDQ1RenxsiD51IMaQFq2SBq0yoCWGkPR/1YL+\nPz7W7d13f6+hHxpT5YOYJksInjivzOy7NGKe8IypRVvK1KUao0BJSSc3DAZ9ep2MotPB5AYlFSH4\nBDM/mBN5UiHJwQ9Ij7lPWJVNXVGYDtYHlrMC9TO/QWy2eHR1iVOv+gb0t76Gpee+BH3fFn4ypOsk\nMwRZ1HjlyUIgLCpP8/uYYPKGLI5RoqGRA0785b1U3/hylFnGGoVoEj6mnk3phkg0EZMptEqdl0qq\nRJa8X/V6Atd6OQ587ItKEKJHIMilpqcMR9fXOds4Pvqhj3GrKilcglO30tDIQFQCIyVGSAyCzAls\nDLQRvNAoYVCkRU6IiQ5BpR4UEwUGyLt9vEr8KNZbbD2BdkaWdel0OghjaJwll5KOiBiRKCY1c9Hx\nmCo9hSxwdUsn1whpsSGR/37OZ30p999/H7OmxnqPFJHgW6Sec67MmzKd87TWEoPE+cDu9h5bG9sI\noeiWfRq7Q6fIKYqC4B22mYGzBEeSJRWGN73hzZ/cJOQmGYw3vPENXHjw45z7+H3snDvDaOsSzXSP\narRLO92lHu0Q2imFjuQ6kBcaKRwiWogOER1SeJRRcyGigJICJQVirud5oCP+wJHKqlcAt4TY3/dS\nHsMDiS8jzN25/RBpTsWlpCPEBdEwKAVlmTMoM8pul8wYhFLzdnk576id/yefYoMRI8jCENuGKjN0\nJpHdnsB92q2YF76Y8ju+Cf+tX4990YvYed6tZLfdQffdf0toW5rY0ouSaAQOv3//koBtIltW0ZGL\nQIiKDIXdOM/sI39H8znPY3X9CNpa1LRlqVuy0w7JfAQhsa3dx09EKViYoyd0rY9jMDRJmrAJEa0N\nzXSKFIFbnnOKjz96nnMPbnLH+klkNSXgEpta2C+hQYhkCJRIynetSIz1EhAiMPdvkQK0EOgYMSHg\n4xQpE6CMEFDeoWyDnk3JRETnOUIpMhHJCIk2gTmmIgoQial2OlMM+jmt3WV5tcPeuGY2UwwGhjvu\nuIN77n+EaWVRGfg4QQuBVIIsMwidvLQwn7NKaTJlMFIjENi2IdqAayHXBdW0oZk22MZhHQipEVrx\nptd/8gZDxE9EGvkUjBO33YGRAl+1ZLmmXOqxdvgQDz18Gqk04+mU2jpMnhOVYO2W42RZQa+3xOra\nOqsrh+j1+3i1RFVVOOuQQqLkHJY9h2fPL3H+IIjoVKadv7go3XlAeg/WEppmDpyRRDuv1AhSXBnT\nF6NUhQuJxcnIyFIpuf2WIzz3acc5eepWVlZXyfKcEEKSawzygLwjn5TRWCQ9Y7xsMBbX2uC53QpO\nKyhkh7EdsTooGSMIQVAMDZMqcuctgs2tHWbf/YP0f/O/kwnLREkqoBMERZT46FMTYJSEXkl7SNLv\nn0Sfr9jyD9Gfasq25uIL76b7b96KeNmLOFto5Njy/LbLLhVRBITOiDEy854oIkbKxy2rPqYJLV7b\nYBRBUAWH72QoKbGzMUoLlI6UusNbv+Xf88xRw3PVLjljiAoXLVkuKQuFcZHSGFwInLENpxHMZEay\ncwGNYr5FoJXExIj2AS9nFHmJrWG4sYXduYCq9xi4MWbtCP07n4leO4ZrU0I1yg6F0RRaJ+1VU6J0\nDr2GZgLrq3ex1zjk4YyxHFMJxeDo03hoY8p3fvebGazWIC6RxcQfq7SmjYGqbYlCoKImOoeO0LY1\nKpccPn4Yj2E0HtHpdRnu7uErBzaCEuSdAl3k3PeBe258Ai6+m5thME7efitta4khlbluu+02jqwf\n5n3v/2uMMQghcHOAidYaWVu8gCBB5hmmk6OyLDXd5B1W1tbJuz2kzijLHiYvUrVEZkRhCEIRoiTE\npOUqkSipiCHirMNIcN4RQ8BVNZlQYB1OJ3pAESVyLpgiiAjtsCE1rhkhKI1idbnk7hec5OihI9x1\n+9NQ0pB1OvgQiOE6YJnrkYDOxwJefvB3AMK8szaScipG0w8NW8FizIDcRbyb4rYvMusKVpZuwU9z\nwhp4N6Lzvvex8/XfzuqsJWZTRlpRTtZAL9GELaSc0HnZVzL9N29C33YME7rsSUf//EVmv/879P6/\n30CceYBG9zFv+E7k130N1R2nmArB4aFFCtjqaw4PFRs9RbeeIIxCxGv0klxn+i14Ia41DgLvFvdI\nO4dcaXjfn2/zBz/8e3zhYMJ6M6KWDbGQaCHousCK0hgdyX3OxDsu+BkXY8NUKYIpkfPEYBQCKRQ6\nSnQUeFmDMGgyaDzVziXGm+foTjcxOeQrJf3jp+is30ErB2QC+mQIBHUnIys79J0mdlPTo1IGlRfE\nrCAoxVYOrcnpnriFe8+e42d/7ufZuHQRsXKW0c4uZa6xtkUaDUqhg6O1AalMsq3S0u3ldHsrcwU2\nj0IQQyT4pLBWrPTRgy5/8vO//7jz7vHGTQlJfvxt/y7hruaYBSkE1jlG4/G8AnFZpHkfai0T9iLE\ngG0tzazC7g0Zbmwy3txi98IGlx49w8XTpzn/6KNMd3ZwszHCNRQy0M9TrK9k2j9sTN2OaEUv6JTo\nioLYBnSUCfaRZYBMHgsJTxFkJOAJAqRK1HtCRKSCXs/Q63Tpd3sYrdFZPr+O69jkT5AVvTrfcrk/\nZbELQyYEwttUGvU5PSs4d8iT/eQvUP7AWxDveg/NS5+NOHwUUTf0MZyXF2h++dfQJ55NeNano06d\nolNVtKNLFJ0lSt9n82d/CPnpd7M89ZzPAidUj2xlCf2yF2Jf8mLs++9ntnOG9b/4G/yfvAcOL6E+\n7flUUpFFjUFgQ4sz0PdJ8vCGHKvrJa4PdCsf/BldUY8OcdsdBZe2d3jvH21w6yFFTzbIGBI7m0zt\n7dGBFAGtU9VFuMQOH4VMSnhzD1MJQRYFGpl4QAMQFZnJUCo1iPnZFCVBNA2xbik6BXm3QysyVBQY\noUCpdL5zsmspBErq/YZ/ISSidsggmU0r7rrzLk4cP859997L1AfKTpfgaqp6RAweozPKTjmfWwIW\nYbiEslPivWc6ndLUNUKQNkZVYboaUyj+91d+y418E1eMm2Iw/t1P/yQCgZtDhZumoW2aRB7iHN77\n/cURQqBxFr9PgrPQM4FcJWOjhCDYlno6pZ6OUS4w3trgwiOPcO6R+9g88zDbZx/GzWbk0dMrcrRM\nlHwxWIyP+ODxMeCdQxmDlBIX5lQbSQwFpSVCC/yBMi6kKo2LgY6RDPp9ep0OnTxPfRDx+tWS67l2\nV7fyw1Uu+/6jwKtIqzy5ytkglaynbLH2bf8ad/FvWTl9kdHJuxh+/mezvuHIl3OyX//vrP7pn5H/\nv/8W3vBmsm//cqqt86x86D4utBuUvSXy172Wpu5T9kpEt8t0MmXWWESrqE+cpJ/nrP3h+7hUn4fx\nNuY330v42FnWvuyluLwk7EyJA40PDUWrCFqzL0B18FqvN0k+gcG4+neZZcxGu2R5j+f/o6fz7r96\nEDGEo10H1oMMeA0WMCInihqNo0RSIFELDIpMhiihd0DFiAmX2xjlQtRba4wxQCDWll4UaNswnezR\nW84x3cPE4FFRpLlGIMh5rU0olEjt6CGGtNmYEiMVUkgeOX+WO5/9DNaPHuE9f/kxtFI4V9HrGurp\nlFznZEU+j1MTVTYipvDXR6IPTMcTqrpCqgTsmoz2mAwn1MMpr/+2f369u/4Jx03RJfExCR77kHb7\nECMuhCu8i30avpDEcoVMlZLgPd57gg+M24Y6eqrgqHybyG3LnGgrcA259OQxYCd7bJ87zUN//T4+\n9Mfv4n2/83Y++qd/xNbffwQuXaCebkKcYDKHzDxe1LTMENEihSdJ4iQG8xB9yqLPE2fMr8MFmE4t\n1sbkEgaXJsxTfC9lEKm7X0AHiWo9WbYEL3gOI7XG3slnUD79WQzGilmpeXT7PPHX38XYKHbvOslI\nl9S7Cv7Zt7B5+x30exmV3gNdUx3WjD/+McS99yJWcnpliVvKUZMJ8Us+g+bQEaJaQcYBKMh/51fZ\ne8tbIQzJOx1igEJE2uhvXBnuOqHKtaD9MUbqesrSUo+2VYwry5t/5Mu5MBDcP+vS6BVU7OBDpBKe\nmojXilZEYvB0lWbFGJZDpHCB3AV0CMjgIXoCjugtkoiWkRgsSkC37DM4dIJiaZ1AhvGSrJqxc+9H\nyYc76FDhZA2xRS/mrgtE5/HWEq0j2pbYNDSuoZ6NyaLlUJmxc/4cL7j7+bz1e99CP1+j1zmGa0s6\n3TWcTR6Edw5EquwFH3EOqsmU4HzycOdawUIK1jprLOslsubJISluiofxEz/70wB47xNCcy6T6H3a\ngQ6KNF+O1efVyXncKpTEiQSmij7Od33mRsYlb2HuIQiRwFQhtKmKYlvq6YjR5kW2zj7K9sVHmQ23\nCPWE0Fb0skTG0jqLEql6kODq6TxzmacdKM5FEYRCqwwZAuvry3Rzw6DfxWiDMeYyU9bV4zrb67U8\njCv/bKF2L1BxzieKwyAQNuIHXfLPvpvlZ38a4Stegf78L6DrDKKYUv+HXyB/xzuYRsH6F30Nnefc\nyaRu0EtH0EePE3/7g5jP/gy2/ulXkv3ybzD4/h9g+uv/lZUXPJvZ4TV6qoPxkeFyQfnAJrz/Q7gI\nZVBM45j2/HmaV30usX8CZp5uR1ITEMjLTYFXXuw1b8Mn8r6u7gpWwWOKAaN2RBFzVroO2+nxN+9/\nlGVVsCIghAnOpEYmg4Awp4CUCRUoY8SRmML3O5sFRBHn4ODEbaJFJEeQIZMUo9L4eoZ0LV0taXa2\noXLofkboGWwIGHRqcZgrx4swb2WYbzpBGXKjwadEZgyCtrIcO3UMKTX33vcIQWRMqwlKe6ytCdGT\nkLCpKaJtHLRJT0UqmTbWGNFak/cKVK4hBl73HW+6zt39xOOmALesTSU3KSWBgJqzfS+ee0wLOou6\nKHgi1geCs2S6M2feikhtiCHSNi0xA5PlyWVvA41LDHpRQRsacIlsONMagsaPtplunOecVAShWF5e\npd9fZu2228nzDiYvMSpPyVORtNUWrGD7yHQEk6pmPJ5RL3dpmoY8a9HZ9bVGr5dvfiKoyAXXRiMF\nrTYMWsuGroj9Hqsf32O2ssb0i7+IQVlwoXaI5cAz/vIjbP/UryBjxcm4yrmBohheojdYobcVeeBV\nr+D4V3wetZY8faeg+cW3c2njwwglufc7/y+Of+hPcZstnU5JLjwXv/azOPHLv0SILS0d3OAER3Zq\nhr6ilp5V2SHDUjOhKw3XiEg+iXElnHyfhqAdMC12Kbol2XSCdn1e8sUv4YPvuZ+H/+4Cx3saKTRS\nRJz01G0SjY5KJg5NAf3MULlEKF3HmLRD5t+FkqnPQ4SI0RIDSB+I0iDLHmb9CM1GTT3eYS3vs/Pg\n/ZjDHcRaFxciIeZkMscRCc7Nc2CJ68U7x2w4ol+W5ErTNQXCRma+YXfzNF/xJV/C1vaM337XO8jz\nJUJskVIRokcTMVmOcoJqNqWYrx9jFK3VOO8x2jCRFW3dENyT+xJuDjR8rnFKiOACMSR0nVKPbT8X\nQszZs8Jl2DJpoTpXzxOi8nJ3o0lELaFx++5r2o0lMqTLFTp9jgspFFLGpOdj6joZ720x3tvi9NkH\nWR4s0yv7rKwfYbC+DkqjsmVQSQslxrlgUrB4Kbj/oQd45tOOMWtn9NSA1jcYU1yRk1mM66UB91ss\n4mUezIMo1UUzW5LcCeQWGmFY8ga8I6xqnIDcKca2YT0OsBXshW3M3nlKl7N59AT66DqVKBhsOXaL\nQHdWE7TCjErOlw7xZS+k+xPvxUd4tl5nOpmwsbrCscriW3jaM17ExZe8EPWB99DG82TtgPNf9tU8\nrXc3e8DUNDQzQU/3iCQw0mOudX4svLC4SIZfB5UY58C8Bbhsv0zdaclchxA8rcxppMMEwWu//yv5\n4e/+JfLNES8p15IgUNhmFj1Cz1XVfUzUBCpwSAimLjByAhkUXi7aGUNCr6qUEI/eoaVChQkyM6i1\noygUdVBYO+P4qmf7vgfoeMPyXc9m5i3eTRAyT6VeCZlXaBUhespOQXBtSsZXYPKMrhTUVY7f3uI1\nX/tVaAX/9Xf+C0Gs4zg779ERuKqlLHJiAVZIrHA43+JDC1EivERWmlhZxJNc8jenSvKTb0tTIbXn\nLXhv9veOq/MYlwWVr3RJrx6LBblYnFe/5+qde//1A41PB6sz3rW4tmU03GNnZ5uLFy9w5vQj7G1v\nomVgadClWxiia3DNFKMEo90NTp04Srdb0uv1k6dzgJruiVSxPxV9FwJJoTTjrEa3IvF9Rsvsz+9l\nuH4U813fzspnvhTvBbFrIECW54yaEUblVIXi5NNu4fQHPspuzOm+8pX0v/QfUU5g6CsCgmmvg/zs\nlzCaBJbsOkvf8c0svfE1TI4d4VI1pZPlSGuJ3iLU44RXHPAbxOXnrxmzXS+Mi1eFcTJtNkuDgs94\nwZ2847/dz1LhORa3kSFHaonzFi3UnHsj9bt0tETPRZfivMlPzbVTlJiLR0XQMXm+KksVDyEkRhkM\nkqaqoZ0iVGQy3cX7mqVDa9Sk9yRhLpWQ4s5hFh2kMaQyaEgLQiuNUp66GqEywUtf9jJ2R5a/+eCD\nrJZdqlmNVB5EizYa70kqbxIyoyk6HaTQWJu8iuiTqNc/f/133eBsOnifbwIO4+hdt6XvPUSCdUSX\nchnxwC588LQWrEsH6+4L1euD8f5Bz+Ral7UwPFcbnYOExJdH8jak1PgQkEqD1HMKeI0PEakVS8sr\nHDlyjJVDhzhy7Ha2ts7zj7/o5Zw6eZwj60fp9QYUnd6cFf0TiysfPL+rx418VQqNlHAh2+OIG+Bq\nAUsZhy5c4tzAEldvJducUjaRcTcQ2ogVke6Kxux5hlLQX8pZtjNqV2OX1tmcOm7ZcmQG9pYzhhd2\nuHXtMG0hmeaSnWaIsAJlBR0hUW1KDgYd8Z4rKAz3r3VuGp6oh7Gf0HrMzRH7uZ1IomsUQoBvOLJU\n8Bv/5QH+x8/8Jl8/GNJbKpjFFuEtuVR0jUZ5jwyBgUzSmK1QjF2k9hEnJF64Oddr+lwTk+S31wmc\nF7xEewF1ze6F89iL93B4pWBa7zCWcPj5n0l+4hnYWuCDJC96CJVhvU1aq0KiTaq+RCVRJkPnObLs\nMfYV00JhjhzD9Y7yQ//2p/nQX7yHcqklmg0ce+RlByFMKvt7R2YkWhmqWUs1bTFS4VxKPp979NIT\nnkdXj5tDoBNjCkvmbeZBhH1PYhFCLAzE4v3Xeryad+Jqo3H13xxccFcsvutwZAQf8CKVdHWCbGAA\n11ZJUtFJxtsbVMMdHn1Qk5Ufo9vvcOl5z+TY0aPzzwxX/N8H+TKeSlsdgiMKSUknpX9kYFi1yEPr\nZKMxxdQxzBU+WnJlsIUEAtGCco7jZZ+zm3tMl0ryWhFVJJtZ9gYKYy1+OqG3WnImTNFTTdnkDNrU\nNKgdlFoysjPaQl8mJHoKxwKXsphbYp4TU+Rsjxwv/fJbuOdvXsz//Ms/5wUDgY4SYzJaH4jW0csM\nvmmpWkduIMsUS1qSCUfrA1aIJAMwJ3XSSFScNzuiUBEQEpFllIcOY+OM3b3zdGXGAMfGfX/PsbxL\nZ/VWGhdwtoLgiFLgPISYSrpGz+VBvYemQbgB3bxAOs9w4wJllvH9b3o1Pzra494HPkgkJy8HhOBR\neTK+WhmEjDTWYp1DGYUIqd/Ke/uk7vNNKasuwEdSysdURPZPbP78wXDkWp9zrQPY/9uDXkU4ULq9\nFkDs4KMAtOmATEhRF1KHbAqfxL5eqyTibYtvKtx0iGtqzp8/z2w2Q8jk3j5Rz+JTOaKKRA1FnTOb\ntuhc0KfFW8uS6SIbh20r+kZzuNWI0YhSS8LYQ6fLtJ6ykhWs2Ixjsw5qWHM0GpzwzIRH6gzdRgat\noy8j08kuorUUQtHMpjjXonoZlDm2dqjw1E61aynjxRhpWofKO+hY89q3fD7vLyX37GqEyvFzar2W\nSOMcQQiczHAkns9cefoa+tpTKpUqIxEyBEYItAATJcp5jEglV1SkGHTRK4eRg6NMbY6rFF0f2bvv\nI9SzHZRsETQ4OwPp8KHBRUfjLLVLeiIheGLrQEyJtqKLptNK/NYug2j5sR/9Pm695TgyFgTXAaGx\nvkFpjckytDFpjseI0hppBHnH0OldPwn/RMZNMRjAfrZLyKSKtUB+3vDiOjhBQkqg7r+0+K+uA4C6\n5mktJh7QuoCPCWEapcKHiHMJc2FdoG0t1vpULYyCtq4IzjEa7u0bRXeAQ/HJEQTfmMEJItLYlk4w\nFHmX1jaY2QwlPJdyy5auWdMZjW0504dqNYempWe6TELAlQqUZ2O2w3BZcH45UtOQeSiFYao0OeTC\n1QAAIABJREFUW1IgOwVjO6NY6yM6BWPbEHsZTQ5D3+KEwESd0LNP4Vjc1Ss2DSAvMkZVTccv01u2\nvPpH/hkPT3Man2N9xAuJUIbaNgQhEXmBVQobU0LZyEAhIRcCI2BBySRF+n611KnDNSRF+YgjykC5\nuo7ur6GKQ2TZAN16xHCX8498HDcboXUEmciHg20BcN7S2BYbHCEEfPDMmvOEMCZUNT3RQdfgtqe4\nZpe3fN8b6eYlg+4aeVaS5xmRiFRpTSk1p5T0gSAiIlPk5ZNj3LopBkMbOYezJtKaoAV+nhe8OoS4\nOp+x+FlKiZYSNYfwJsZmuQ9WWdxwFxIE3O+LFF21YOf5kIW3cfBA+tQVO58kyIiXc8avpAOfSARj\noPGexgtsG9jd2MHXFuc8KjNXXM/V13HwtfRcani7+ojxsc8t+Eaj4DGHiBIjNLWq8DQIYXCdPiEK\nSgc9p7EhxVnZtKHXSAKCVszIhUO6xHu5VBTUoeZ4LWl1SgZ6IehYx5KUNM5jVEGYtsRoyVRq7Y4e\nBhQUM4cwglb6G9sQDnTNHjzion9mfsQgCB78nOVsIQAkIwlNSToZq1v8OOOLn3+SZ3/dM3nvpiAr\nDmOCwAuNwTOxjt1Qs+sadmJk20nGtSA6Tc8HlgL0I+Q+gPO4uQ5vkkKIuCagg8E4hcsEndUVitXD\nBNkDbyiFQT5wL+HCaWI7xIYGXKRvC1Tr0T6ivCBYj/ORECXa94l1xDcTpB3ScTWmmtHsjLjl0BG+\n/83/Jx3hKJBksUDgCToQoqOvNbJucU3LtAqMJy2TqvrE9/5xxk1Tb4dFJvxxqhdXvf/xPu8K6PR+\n9WMO9lqQ7FyV85i/5bqowhsdUkqccwgE1lq8m/NBXBVWXZ1nufK8ItcSLb7eSK33137tU8JyNceb\nPGUjHiiNcmOJ3Ss/5sD3fxDQhcQgIQRsaGmi5pVf+8V87/vu4f6R53m6pAkt47BMV4ywjUBIhROR\nCoeMgVJJ1oVBikgeJTou0JWeWbw8l6MIIDTIiI6GmHeQh1ZxNNSbU1zrOdTRTC48SifTdI/cCt5i\nhQbrkgEksb/bKAgqYFAoPaeLbCwKS5mpBP/e2uVzPuOleOH42V/+ScgMUympXIsgYYoECf8SvCV4\nD/bJkRjdFA/joKBQyjWI/YTnYtxoNeExPQbzY4F1kPHKnTyEsO9ZXG88Xo7kWkPNcftCiCS+Q9yn\nyH+8xfsPyjT+D14Te+Ljel7XFff+Ovf/Wt9PqpJ4jJy7rxKmzZjeIcNbfug1/NK50zwaDrE+DoSl\nHDcn0/FSUwvJXvRs49nAsi0DIy2ojSJmScIgzww9aegKTSkkHQQmOpR3FE5igiDvlgwOH6HoH4LY\nTaXYakpz/lH8pbMYX2NjSy4hI6K9J9qWtq2ZNTNabwkhEn0kNh7ZNBTeIac1pvFsP3qBlzz3RXz1\nl76K3KVwsZv1kCpnVjtilITGoqNA+hQ6PZlxUwzGfrJTiscYD7icsLz6teu99+qfJal2rub/z4Kp\n8loo0k/lWJR790vAcIVBurZHcRk/sgi/Hq+s+tgF9Pjn81hjd4MT5im2ZZFPUMH6ZD7z4MYQU/nd\nB0AokILhdMLx2zq86a2v5d3DGedMwWBaUYucdg6Q8yEQYgr3au84W084XU8400w519Zc8o6N4Gld\nIHj2m8oyocmlIhMCRcAI6JddllYOI4slNmeeGA1xb0h95mHMbAcTZ0BIxMvBY7xHxyRf4HyL8w7v\nAq61hLYhNDNWhCQOp2RW0g4rvuilL+fTn/l8sspiXMQ3gdG4Ss1yShJ9IPqAt/8L6pLsdxgiCGKu\nuC7mycVPsqJwdUl1YRwCSWfVHyjTHqyYPN643uuPt6AXr2VZhjHZvLR37b+9Ol+zWNDX+vjrGjfx\n+OfzpMdTHZJcBfX+ZM/4uvdVQhtJMPAAShoEnt1Zw9d+0aexff9Z/uSPP8w3lGtQP4wwqQM6F5JC\n5Wgl8K1jGD1tjNQBRAwokZTTJtGhpEy4DCHQMkletKpBSo8OHq01ZnWZ0Fq2zm2zZBvWDahqyuTs\nQ+SnBLZfJA7QKFDRE4IiSEHrPU64xMsiBcEHbOsodz1Fp4drI8N6zOqxLt/wyq9i5/yD3LO3mSDs\nmSHzAecgz1N5PfK/YFk1fbnpSI1h8nE9hsf/nGs8f/kNB8Key8YoVVPi/AiPwRReB2P4Ca9JSkWW\nJaq2otMhy7Nrok4PXtfBECkd8ZoJ2GTguM6x+OEGT/oJjEgSow4CPHP1lzkyV0XwIiQ6fZFIdBN0\ne64TKtJ5hUXy8RojCPAx7HMJRTlvKLwqhNy/2PlZXT4WN/Xa5x9i0uxQWhMiWOtQQtOJS8zcOb70\nlXdzUZb8yW71/1P35vGSpWWd5/ddzhb73TNvZmWtQBVLURRLQVGsgrLKMqgDCMhnaEUUbAeRT884\nNK6jtogriHa7YevgMurY2N24goiC7CVQRVVWZWVlVq53je0s7zJ/nBNx496MyMqsLE3r+XzOjbgn\nIk6c88Z5n/dZfs/voREnYCy2yPDeIYWkSUwDwXxcYyGp044S6mFMGEQIFbKtPJvSsS4968Kx4XI2\nbMYZ16crCwYY+hhMPUIsd5Bz++hahdQxNanpnTxOceYYShmQFXeKAWEcwlhwtmxoVC1w1pU9VLPB\nkEhIsu0e9SAh7Q6RTvO6V72GG664BlU4hCkJrcNaRBAEpQKpJZd0P1weHIZQCKURSlVs3RKkmumS\nTD7fdZyJG2rydSfKPIZ1JSRWSUmo9Q62QwiUqDgbq/6aUpSui0SM/5+lsM5xgSrXxxhDEMYUXqGj\nOvgSsLQXa3I+E3yWftzLmG5tpVwqM9PZsnzaVyW6wvtxQ5xdjxPnfU7cZ0K5jc7JuQKNQxiB8mHp\n4xuDVpo5p/HCYX2OMTlDKdGuxG0iBc7nCF+gnEYRnGMFeO9RAkSeE9gyE6SiCE1Q9RndcTFltfpK\nPGX/iXIbt8fk3IwKwlW/MziTI0TJPWFcQU4PzzLt/Su86Udfzueyw5wYruBsBxEm9KQldSGmJ4iB\nTjZgn8m5ioJrteUKbZljSN16jLP0pGcgBQPnGAiHdZq+kWyLkHWn2cwsQZCwtP8gjZUrOJkq1nNB\nK1SY+79KeuJOjN3AKIc0kthIJGW5vTY5okgR1qCNICxC8kAw6G/QJCcZppApjOsQN/bz7Juex37b\nJhxIjBVs5IZht0t/2Ce/xEXlMloYO1mSkUxO/GlgrsnPTj6fpjR2bng3DnDu/q7d3zvpzuwFjM3C\ncUxzKZxzxHFMs9lEqt0ZknOtCbcrpXsh7tiswOBeMNrkMfc+TrveaVad9x6jEoZBjNcebzZRtkus\nHP0i48RwUHYVlzUCI0hSC7IkGAq9JkUzqIWkdhPp03OuRQiBzTJkLaKry+S1ObuGM5t4sl035y5O\n1IdBrNAM8wwpDE++6dG88e1v4e/XjlMLVtgqQmIj6RQ5Z1SPoRCoIAIEwkLkBU0Z0BEBmXf0vaUL\n9JB0haSPwvqyXY5zZYrZOfBeIOpN6sv7cbUWZwY527kjc5Lj/3w7xfoZlMzJw4xUGKzxIEpODjA4\nZ3C2wNgc4SxYi6+Uic4ywjSjHizw+Ec/lje99tVo16OuPG0V4ZoJXgeQXVoM47IBt8aTcGIyjnoV\nlUU+ZXq0XCnZtY1wF7NW/1nm/oXiAGYFV0cyeYzJY0VRRBhGrKys0Ol0dgrsJj43bUJfyLbX19/7\nfJrSmH4sN/Xc9yqU0TFquae2mSOtwUYBgzCkCDtEqkFYr+PCgKwoa21EosmkRImIPLPUbZNgEOKa\nMWk0Y9zjBNFokeaCtqrTCluYRkw+2eFhdI4PZyxFljwl6bBHPtzmKc99HI2nXsuXewMkcySiTb/o\nI2RBzwtyoTBeYKxHGE/iJHV0Rffo6DtDF0dPSLpesu0d23i61dYT0BWeIohx9Tnk0gGK1jLrNqBP\niEqHDE4dp7d5ggF9tv2A3BryIqcwOYXNsa6kYvTelSXypsAVBlfkaFMQmRyZxcQi4smPfSxvee23\n0PCStogRcYDSGn2JU/6yZUmmmsQwCpuDH0c5ShN75C4gqkYzO5DvaZN6JNMm1LR4wjQzfZblMQlp\n37GWyusKAs2hQ4eI47gK5Ipdk/ChKDBGQ7JHUU373F6r49xt+v7J8RtZa0opeonjbL3AWmjkEXUT\nUQgYakvOkGhrSBEpzjQkYpgTWYmrKXrNjLzm8X3PynZEI5O7fo/xeBuDyjJaTc2GTjlhtgnSgKgo\nu3uNr0s8vApDI9BBjPcKjMdJxau+86V8JthiIxdY0WIQhkQWcu8Zek8uJAWQO4dxFiUEbSmJHWAt\nhXNkCFIh6CLYBroIumK0SXIPPQRibhm17yrWZZ1TQ41NYs6unWXrzAmMH1AoQ14FWjPvyawns460\nMAwLUzK7FY6hNaTWkJuiLMj0gtBHhMQ840nP5IW3PpeaV+jUEQpFVKtd0rhdVhzGOftHpc6uDHCJ\nSjmUr537vpFM1oxMc2EmXYxpk+zBlMXe79mrYMoUsSSKIpI44ZprrkEphapcklnKatp5wO44woNZ\nGLPk/NbKbldt0i0acaqO3hcPc1Z8SBgnDGJwjZRi+FXi7mEWOnWKliDPBuwbSvZve+qxxN39BZY/\n87fo47cTHAxYi6puclPOu9aSbH357+Ev/xvtI1/k2tU2tSDA5ZUS8zuK4jx0yhctIZ7udg8VNnAm\nRAvYv9rhRe98HX92zz+TBXOYPMaEAcJ5Mge5EthAkQlHiqVQsCID5oUgdg5hyx45DjEG4pZtIUas\naIKsGDIwhr6OcK0lTH2ZszbmmHNspRlrJx5g7fQD5DZlaHIKr8i8JHUwNJ6+8fQLR2FKBdIrDN2i\nYCvP2c4ynM9I0xzlmmjb4gXPeRGH9q8SbxeI1JBf4gheHpdEiDKDsYdmf9eEndw3JW4x2rejUMTu\noPk0y2HSBB+9eUpa8nxZjZ0Mz04KdKQ0knqdWrPBwSsOlE2iK8amB1MWu48/c9RmyiwFPFtpVJBy\nv2PxWGswxlAUBXmel0hVa0l0RDc1bMmC1plTmLe/F3XoeahHv5r0P/0KuhkQiYBmLrh/QXH31z/P\n9pt+gOIbvxPzhneR3PE1NmVGocBrEMaWKU4P2Iz0Z/8L2Uu+h+BVb2Pj5f+OB37xA9ynuph6sHN9\nuy724sdnb0IFoMhSFuY6ZLlHyQCb5xjT5znPeQw3fNtz+dLRU9TlPGkSIISk8IYCMFpjlCbDY6Wn\nITVtoam7EjehBAQeIq/LzUlCJ4hdCeSSAsKodA+CRoPO6iGSpVXWLQytYHNtgwfuPcz21jqZSxnY\ngqEpyBFkXlB4MFJQOEFuPblxDArDsCjo5Rn9wSamsJhM0Kot0kzmeNlLX8HVzUVUbnfu+4col0Vh\nqECjtCp588YnIkrSE1VSukslEUqCLDkLR13XfZUBcd7tZDQQ47SbZEYvD0rlIplwU8qUwXTTnunV\ntM75sn7BOZwrcM5Qqh+JjyJai/McuGIV6w1eelxFHGMnUmPnc0XKXXujNiNuiBm1JDOONU1plnrT\njTeqeoi9CmdkffRtjokEHZey8SM/Te03f4uGNpBvUHzgp+j2T6BpcipMibOM9p99lINf+xLdJIGv\nf4nt/+u9LMcdbCFAGAoNloC8phH/489RH/wAq8NthlGN8Mz9zP/fv0ywfopaUQ2GqBYDsWNtTqud\nmSW+jDaWm/NVBgnQkjQfEgYGI4ZYJcHXMNmAN771m9m6YT+Hi4iwiMlRCO3pm5Sug6GKyawA48iF\noKkDFhHUfE4ioWUUDaGoC0GMJ3QG6TOUT1G2oO4tTTOklme063Xm919BQ64wzBRaRajtLt1jh7Fm\nHRUUGJvivacoLLkpyPKCocsprAXryt6txiG8wBagjEdlBXJokT7hmkc9ibe84TtY0DFx79zg88XI\n5XFJoIpJVAuGq0LKk++ZkvKbfH6+2MU0X38aBPy8GI+Zr0xmZBRUNH1aBdTiGk950pORSCJV9ut0\nxk6dzJdL9gY8d86t5CPRWqO1HrtTAyGI45zB336O+A/+JykDMlo4ryjObCIOP1C2CgSkgd4ZS1FE\nHBAh9d4Ggy99BXHfUWgqolQwtB6TDSnMOnPv+SBb61tsW0Enl8R5weDs/ejBkCIWWLmjDKQvYQoX\ny6sxItXZm6JnqjIVrBcbXBUs8OK3PZ1Prt1PMVgl1vUS5h8ocpuT5kMINLkXOCWpq5B9KmGVkLaQ\nhLGmgaLuFTWhSERAgibxATWpSATECGIpSZSkEUbML6zQbC6gRVjSD2xskx09Qt052lrBcEDoHZGX\nBK5yKavGXN46hC2bPgfGIwuLKGyJHPUQIDn0hBt57WvfSMsEDz5o55HL45JYV21+/Nwbx17T+nxK\nY9q+8+E0dib5dAzCNNmbatz5THnXlnGRkqItSRrsW9rHk574JLJBhrclElB6OdPi+bcko6DqZGDX\ne4/2CsII82sfJnHbhEEEmSEKmtjcoO87iQvK5sdhq82+R19HL/HcpdcY1iJazQ79K9ps2ZTQaK4y\nCY26Zunb/iMnj3+Fjoe6lmxGPawOaFz5BJp52bpwZENBqSjUQ9C709LF0xab0b5Vs8DX85Rrr72K\np7z5OfzFvadxtDFGkBdlLMZqSeY9A+8ZekeAZFnGrMqIhnVIm+GExYmqmll4CiHIBRTCkXtLhiH1\nBalw2EgSrx5ALi5z1kDflS7vYO00p07cC2QgC6w0ZDYr0dFu1HLD4KxBGEtQOJSxkBe4PMcbQ+A8\nsYXMKZ76lFu56brHX9J9clmg4W5EyWdcSdFn3U6FKTsAotHzkYxu6L2yN7o/yqCM9p1PhNgbQq0+\nV/2dprQ8HiFGropE64harcHKvn0sLS3jPARKI5XG+p2MyK7jz7iW2ef88FkpF56Z8UhjgTbtL3yJ\nE9qzz3SY055BVuDw1E+sYUJHb5AS+Trq5c9Ef+Q6lj5/L3L/AbZ/6LtY6cesuQFnA0ut5sl+/4+I\nPvUJtJQMiwFCCrQM6d96E2fe9SaaBw6hUotTO5aeF1VTqYuVkUsz+nc05r58ba+lZQYBSbvPdiZ4\n8xu+iZ+7O+VTn/1nbt2/gDUpjoKckrW+rkOMM4TW0aZ0QUKTI6yhHyYgJKNeuBVkrqxtwYGvWMud\nxQhBESrE8j6GW2vcs36KRuypRZL1I1/Dh4qws4/cKQojiRUkMkA4R9n4c7KJtMX5AuM9yoeEsuw+\nb2sNsmyLl7zolQ9hEHfk8tSSeHaQic4hPeMJOKkopmU89q7Ws3z3SZm0LkbPzzdhYSesufd43vtK\nIZVKAy8Jg5hmo81V11yN0Krs3C4kDsgLg7yA7/u3IueMeRBSMEQvLRJvrpHbgqGGphQkQqPuO4P1\nEEmBGxi2ass0/+w36P7N7YjHX4u76jEcLhTLhQYvMOsnmPuNP8L0T3ImDFntPAr5+pcweN0L4cqD\nxHGTdj+iR4FyjMM3XlBSYFz0Be0EuCfvFz/5A09cdz8RdDLBUAcM+j1e+33fwAd+6DQb633acQQ6\npSi6ICSZKFnqM2/JZMnFUbcBzoBRghIiVWW+hKzK+MPxPiEkRoBTEpxH10OWr7yeo0XB5mAdQkky\n7LF+4n7mwhoyDghkgrQWVwXUPYKAEiWthMQpjXVFVe8iCJRCOii8o1afQ1/1CCTQKQNQDqwtg1Ci\nMu+rVOpIHmyCTfrfJXCjylywEycZpWZHGI+RPTHaJ87zPULstj3G/nD1+dENF8YxSaPJY264nqgW\nl/05layUx8WX7V+c+Bkbo6vbs41GqAqmClFOyFFVryhfF6LEKhQItPf4l3wDHRLqcciatAiRoYSi\nd8dhsu0NIh0DHikUWbeNf+LTiJauZX83pp7mKOuIEoP74Q9gPvX3ZM2Ipbe9mexzv8OJn3gn4RVP\nIdT7cb2ETHhc4Me/2Qia48TFKQzhR++vJu0uBTGRNPM7+2RoyF1M2B/SjessLGluefmzuX0zo8jK\nTIfTAUGQkJkM6x19b9j2OZm0RFLSEQHaQlBt2nmUtShrCCwoKwiqBt/SC7STxEJhM0O7vcCB1WtJ\n4g4mhbqFdO0sg7WTCNMjFB4KV5a7VwFc4UvXXngHFb3fqEOgLyzCOFpe4NMCd4lT/vK4JBWZh3UG\n60xJcYYoc9Viwgz1/pwJPXnD7Ew+V60irrz5XdUibnwssceqmJ1Jmdw/7hviR+nd8lhl3KI6pgpJ\n2m0WD66yun+ZUEsGgwG1JMLk+fiunHSbzi8eMTOyN0uBTuGBQIyp9/ccvbTGxaiNngMMucyoWY3o\ng2nVCXtDdOzZVDmuq9j/PW9gu+ZxH/gI+7e3yKXAopFf/jzyji9S3PJUuvfcTu3/+2/oz3wBv96n\n/83fiH37mwmay/QHFvGTP8bc738E9rfo/9SPIF/zOtrd0wy3HT7yhOkaRi5Q+CGxMeQiKM/YV6M+\ngck4X1xoNHxls6m95EXM+L9aCHJPLiyEEUluSE3AM59zJV/5yk184b9/imcdaCPDikxXAk6SS8m2\ndDQE1EWI8J4tYcs0KBKDR0sDwiItIBUOj6QscPPe4n2GjgICFbC8uELQ79M7dYx8uEUYerpnDpM0\nJWG9RibaCONQUhBKhfICWxTkEgI8Sgc4JSi8w/sC7SRRuk0Uadrq0oKel0VhlMVSpQbcWQXOL9NW\n6V0uDLuPszcY+qAuyIz3TAuqevzYB63XmxhrefLNN7OwsEBRFIRhWaVqjCEKQ4p8eknxbFzGzNO8\nKJmVbhTj0Rq9QdLMc2Rzju2VACvWcfMd2kNYPHMKNbfEnVFM7wffwoHXvZyDH/pLTv7yr9IcrnHi\n+GEWX/e9LF55Pae+fgfz25voIGDTF7Tedz/m/pOo666n+Mt/Iv70H6OiDukzbuPka17E0lbAoN5G\nb+ZgClrAhhzg4xib76YF+NcSY8w46Gtt2QwriiLe/b3fyA8euZevngh5qhhyNDlF3RzEF6aMInjI\njSUUkiRSLBWWLWfYFuCUQokA5TVel9W9XpYs3g6PFY4AUTYctwVRGCOX9yGMwZxJUUOHzIZ07z5C\nFLQJOgJtW2XmyEs0JdzAG4fBlL+rkHhhymwQEuNykCHBjP4wFyqXpxlzXuCNRbiJ9Od5rmMm5yaT\nE3p6muxCtpHMem3qc6kQaJJakysOXcmNT7pxTJwTRdH4/WZP0du/BRGVnSGoms86QTea40zvDNH/\n9mZWw5uov/6NrG0/QFZbwGx2WcjqXHm2Q6Kv5vh/eCvFyU/S+9kf5sDLXkMBHP3KPzCfnqGnO2wU\nLUI3R+b7+N/5MOs/9UP4f/hz0vYc9zuLe/ELecJgAeVTNoeKOdlmS+YczXp4m1LvaiSXxm79kMem\nyhKNdKkxhizLCGuW17/r9dwt+5zakrTFPmxRBiyt1BReMTCeoTMY5ZjTmo6U1HFE+JJp3KmyI7wE\nLTwBloCC0BcEzhDjCL0lUIJWq8P8yn7a8wewQ8GSahJu9ti8+w5ask9gU7TLESZDWENAqTiE83g7\nqjUZgfEM1hRQFAQzFq8LlctT3m52yrDH+85jqp+PfQtGk3jn/bMm+mQdyLSakMlc/azvLE9IIGVA\nFNdpdxZ4xjNvZXnfPpRSJEnJN1AUBUqp817Xg0HAL1WmApzEaFwmkpZeYUPB4n/5z9Q//BEKEZH8\n4Z+w8vO/wGYHXKQJBkNkLMidQw4lfdvk7JvfRP5L/wn9xjehkgUKVSdXQ7JgC8kQJ+tEYol9xQGK\nYI7ulmY1mGfYmee4yEj1GqEckJuvUn/z29Hf8XZqr30jxal/IhGXVlX5UGWSKlJrXTbTdo61bc81\nSzHP+LYn8bebPfzmQQIvEdLjhcQKSeolfQddZxEKkkDQVoKWs2hr8JSLpHKgnEM5j3aOwDmk9QSI\nEtNiDVpKOu0Oc0uHCOM5TF6iRcPBgN59h9E+JRIG7Q0URVm9WpVU4CuuF1uy6DtjMcbjjIf8EVit\nKkdoO2b3F52UWZN99Nrk+y7UorhQC+Mc5SMqXKeStDsLrB44yC233IKUAj3BuTFqLzAtZXt5RVSB\nMhCUfVZwnsh76oePI0JJ5ANkqKnfeRQxSBk4S3t/Qq1dwIqFJsi8QB3PGbBA8bbXMwwjOgNFJ4uJ\nshhvNB0S1iND124Sm5xHR9fwgEhpRxE2dUit0O0W9tXvRP6PP6bzd39D8zOfQP/mH5IFl0ZWeyni\nqwknREnVr7XGERGFcNu3Ppv285/M505u4osQ5S0IixMSIzUpim3n2cKCkrSUouUdoStwyqO8RnmJ\n8grtJNqXUHKl47JdpRAEwqFcQRIGxK155vYfpO8UTmoiL+ndc5RBdwPhCiIl0aKs6hZjUqhy8bEV\nVsM5i3GeonDk+aVZvJeplqT002U1AcV49dsd6Z+0GvZWfFZ7GWElRniKvYCcqV8/I8h5znuELDEX\no74pgEAShgmNRod2Z57rb3g8qweuQKuyU3ZRFONiNFuh8f51kJ67MyGMn1Xj6SdWH0qlN3pECJwR\nHH/nd7B14w0cWU1Ze8IN3Pved7Dg21CL6N3+RfKXfje8+T/Q/fCHqd1/FwdX66y5LkOf0xGSrbDg\nZDAgjAKGCtayPtJWKUUN6/27CbVnIx9QlwlzWQexIdi+5hpEVMfUF9hs7WPwwmdjxPTw2oOp33Pj\nxefLIs04RhXPMpVJ773H+AGZ9aSF5ZXf/SpOrVhO9RS5KNGVwlG2OHSSAZqBKxnKIilJgEB4lHAI\nKZDIEtQnBAqJQhEIXdE5jOgbyqCoCAPayyvEnXksAX5oiDJL79h99DdPY+0Q8hSyvGSsd2W2xNuS\nL8MZiytsxRzuKB6JnJ5WuMpC2AlYKtj5tcdNb8qWd3uBWTsymYHY5ZOM91/IZN3bBqBUFqLq6q0A\nC5TdzrxXhGGDemuO9uIyz3z2s0GUWZOy9kGQG4OdhKJPwZNMPo4U4SRWZJrMBnqJPf+IiVM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sn5JE4i8nSACkO2eoK4nlBreL7zR1/P799wDR/5gV/hdY99KRtnPs3y+gmC/jF8q00410HVmvhQ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\nVh0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"text": "" } ], "prompt_number": 5 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": "Running the DFS code" }, { "cell_type": "markdown", "metadata": {}, "source": "Call the function `dfsFunction` with the pixel location where we want to run the algo. Here, we are passing a pixel location of the red mark in the left-bottom of the image. Note here that `OpenCV` stores an image in `BGR` format and `matplotlib` interprets it in `RGB` format. So, while running an `cv2` function, we will first convert the image from `BGR` format to `RGB` format. You can change the format by using the command(s) below whenever needed -\n\n```python\nim = cv2.cvtColor(im, cv2.COLOR_BGR2RGB) # BGR to RGB format\nim = cv2.cvtColor(im, cv2.COLOR_RGB2BGR) # RGB to BGR format\n```\n\nAlso, once we are done with the OpenCV part, we will again convert the image into `RGB` format." }, { "cell_type": "code", "collapsed": false, "input": "im = cv2.cvtColor(im, cv2.COLOR_RGB2BGR)\nmask = dfsFunction(60, 256, im, 50)\nim = cv2.cvtColor(im, cv2.COLOR_BGR2RGB)", "language": "python", "metadata": {}, "outputs": [], "prompt_number": 6 }, { "cell_type": "markdown", "metadata": {}, "source": "Now, we will create an RGB image `new` using the `mask` and the input image `im`." }, { "cell_type": "code", "collapsed": false, "input": "new = im * np.dstack((mask, mask, mask))", "language": "python", "metadata": {}, "outputs": [], "prompt_number": 7 }, { "cell_type": "markdown", "metadata": {}, "source": "Now, we will display both the input and the resulting image." }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": "Resulting Image" }, { "cell_type": "code", "collapsed": false, "input": "# Display the resulting image\ntitle(\"Resulting Image\")\naxis(\"off\")\nimshow(new)\nshow()", "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": "" } ], "prompt_number": 8 } ], "metadata": {} } ] }