{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "Computer Vision to find chess squares in a screenshot\n", "---\n", "**[Link to Github source code](https://github.com/Elucidation/tensorflow_chessbot)**\n", "\n", "The goal is to build a Reddit bot that listens on /r/chess for posts with an image in it (perhaps checking also for a statement \"white/black to play\" and an image link)\n", "\n", "It then takes the image, uses some CV to find a chessboard on it, splits up into\n", "a set of images of squares. These are the inputs to the tensorflow CNN\n", "which will return probability of which piece is on it (or empty)\n", "\n", "Dataset will include chessboard squares from chess.com, lichess\n", "Different styles of each, all the pieces\n", "\n", "Generate synthetic data via added noise:\n", " * change in coloration\n", " * highlighting\n", " * occlusion from lines etc.\n", "\n", "Take most probable set from TF response, use that to generate a FEN of the\n", "board, and bot comments on thread with FEN and link to lichess analysis.\n", "\n", "A lot of tensorflow code here is heavily adopted from the [tensorflow tutorials](https://www.tensorflow.org/versions/0.6.0/tutorials/pdes/index.html)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "---\n", "## Start TF session" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [], "source": [ "import tensorflow as tf\n", "import numpy as np\n", "np.set_printoptions(suppress=True)\n", "\n", "sess = tf.InteractiveSession()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Load image\n", "\n", "Let's first load a simple chessboard image taken off of reddit, we'll start simple, with the board filling up the entire space. Let's get the imports out of the way" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# Imports for visualization\n", "import PIL.Image\n", "from cStringIO import StringIO\n", "from IPython.display import clear_output, Image, display\n", "import scipy.ndimage as nd\n", "import scipy.signal\n", "\n", "def display_array(a, fmt='jpeg', rng=[0,1]):\n", " \"\"\"Display an array as a picture.\"\"\"\n", " a = (a - rng[0])/float(rng[1] - rng[0])*255\n", " a = np.uint8(np.clip(a, 0, 255))\n", " f = StringIO()\n", " PIL.Image.fromarray(a).save(f, fmt)\n", " display(Image(data=f.getvalue()))" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Loaded bkn5nn4.png (479px x 395px)\n" ] }, { "data": { "image/jpeg": 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Ao5KQz52sukv4V1N/4XutItGuZpo2AlSGRAjqVZl3DaWADjHdciuYsflaQ9xg11Wo+Kbn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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# File\n", "# img_file = 'img1.png'\n", "# img_file = 'img2.png'\n", "# img_file = 'img3.gif'\n", "# img_file = 'img4.jpg'\n", "# img_file = 'img7.png'\n", "# img_file = 'img9.png' # Doesn't work anymore due to non-alternating checkerboard lines\n", "\n", "# Bad fit example\n", "# img_file = 't1.png'\n", "img_file = 'bkn5nn4.png'\n", "\n", "# img_file = 'lichess_5.png'\n", "\n", "# folder = \"chessboards/input_chessboards\"\n", "# folder = \"chessboards/test_chessboards\"\n", "folder = \".\"\n", "\n", "img = PIL.Image.open(\"%s/%s\" % (folder,img_file))\n", "\n", "print \"Loaded %s (%dpx x %dpx)\" % \\\n", " (img_file, img.size[0], img.size[1])\n", "\n", "# Resize if image larger than 2k pixels on a side\n", "if img.size[0] > 2000 or img.size[1] > 2000:\n", " print \"Image too big (%d x %d)\" % (img.size[0], img.size[1])\n", " new_size = 500.0 # px\n", " if img.size[0] > img.size[1]:\n", " # resize by width to new limit\n", " ratio = new_size / img.size[0]\n", " else:\n", " # resize by height\n", " ratio = new_size / img.size[1]\n", " print \"Reducing by factor of %.2g\" % (1./ratio)\n", " img = img.resize(img.size * ratio, PIL.Image.ADAPTIVE)\n", " print \"New size: (%d x %d)\" % (img.size[0], img.size[1])\n", "\n", "# See original image\n", "display_array(np.asarray(img), rng=[0,255])" ] }, { "cell_type": "code", "execution_count": 31, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/jpeg": 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iW4umDfZ71EurViMBomUYx9MFfYrTPBfmnxPb3Sq32eyR7q6YDIWJUIOfrkL7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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Convert to grayscale and array\n", "a = np.asarray(img.convert(\"L\"), dtype=np.float32)\n", "\n", "# Display array\n", "display_array(a, rng=[0,255])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We need to find the chessboard squares within the image (assuming images will vary, boards will vary in color, etc. between different posts in reddit). A assumption we can make that simplifies things greatly is to assume the chessboards will be aligned with the image (orthorectified), so we only need to search for horizontal and vertical lines.\n", "\n", "One way is to use horizontal and vertical gradients, and then a simplified hough transform on those gradient images to find the lines." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [], "source": [ "def make_kernel(a):\n", " \"\"\"Transform a 2D array into a convolution kernel\"\"\"\n", " a = np.asarray(a)\n", " a = a.reshape(list(a.shape) + [1,1])\n", " return tf.constant(a, dtype=1)\n", "\n", "def simple_conv(x, k):\n", " \"\"\"A simplified 2D convolution operation\"\"\"\n", " x = tf.expand_dims(tf.expand_dims(x, 0), -1)\n", " y = tf.nn.depthwise_conv2d(x, k, [1, 1, 1, 1], padding='SAME')\n", " return y[0, :, :, 0]\n", "\n", "def gradientx(x):\n", " \"\"\"Compute the x gradient of an array\"\"\"\n", " gradient_x = make_kernel([[-1.,0., 1.],\n", " [-1.,0., 1.],\n", " [-1.,0., 1.]])\n", " return simple_conv(x, gradient_x)\n", "\n", "def gradienty(x):\n", " \"\"\"Compute the x gradient of an array\"\"\"\n", " gradient_y = make_kernel([[-1., -1, -1],[0.,0,0], [1., 1, 1]])\n", " return simple_conv(x, gradient_y)\n", "\n", "def corners(x):\n", " \"\"\"Find chess square corners in an array\"\"\"\n", " chess_corner = make_kernel([[-1., 0, 1],[0., 0., 0.], [1.,0, -1]])\n", " return simple_conv(x, chess_corner)\n", "\n", "# Following are meant for binary images\n", "def dilate(x, size=3):\n", " \"\"\"Dilate\"\"\"\n", " kernel = make_kernel(np.ones([size,size], dtype=np.float32))\n", " return tf.clip_by_value(simple_conv(x, kernel),\n", " np.float32(1),\n", " np.float32(2))-np.float32(1)\n", "\n", "def erode(x, size=3):\n", " \"\"\"Erode\"\"\"\n", " kernel = make_kernel(np.ones([size,size]))\n", " return tf.clip_by_value(simple_conv(x, kernel),\n", " np.float32(size*size-1),\n", " np.float32(size*size))-np.float32(size*size-1)\n", "\n", "def opening(x, size=3):\n", " return dilate(erode(x,size),size)\n", "\n", "def closing(x, size=3):\n", " return erode(dilate(x,size),size)\n", "\n", "def skeleton(x, size=3):\n", " \"\"\"Skeletonize\"\"\"\n", " return tf.clip_by_value(erode(x) - opening(erode(x)),\n", " 0.,\n", " 1.)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now that we've got our kernels ready for convolution, let's create our tf variables." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# Get our grayscale image matrix\n", "A = tf.Variable(a)\n", "\n", "# Get X & Y gradients and subtract opposite gradient\n", "# Strongest response where gradient is unidirectional\n", "# clamp into range 0-1\n", "# Dx = tf.clip_by_value(np.abs(gradientx(A)) - np.abs(gradienty(A)),\n", "# 0., 1.)\n", "# Dy = tf.clip_by_value(np.abs(gradienty(A)) - np.abs(gradientx(A)),\n", "# 0., 1.)\n", "\n", "Dx = gradientx(A)\n", "Dy = gradienty(A)\n", "\n", "# Dxy = np.abs(gradientx(A) * gradienty(A))\n", "# Dc = np.abs(corners(A))\n", "\n" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# Initialize state to initial conditions\n", "tf.initialize_all_variables().run()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's look at the gradients, we apply opening to them also to clean up noise" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/jpeg": 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E5KMOMgn6Ug4xgcjkD1NHxg/5FCz/AOwVaf8Aoysy4/5Kx4yH/Tyn9a6DR/8A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Go6rfaPYw2miusOr3+QbsjJtYe5X/AGiAefcetZ2maRBpiSGPc00x3TTSMWeV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\n4i/6CH/kGP8A+Jo/4TbxF/0EP/IMf/xNH/CbeIv+gh/5Bj/+Jr//2Q==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "display_array(Dx.eval(), rng=[-255,255])\n", "display_array(Dy.eval(), rng=[-255,255])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Looks pretty good, now how to find lines? Well with a [Hough transform](https://en.wikipedia.org/wiki/Hough_transform) we resample into a parameter space of lines based on two variables $r$ and $\\theta$ for example. In our case we already know we're doing vertical and horizontal lines so instead of a 2D space we just need two 1D spaces. In fact, we can simply do this by summing along the axes for each gradient.\n", "\n", "Originally I'd taken the absolute of gradients and found all lines, but a cool trick to take advantage of chessboard patterns is that the internal chessboard lines always alternate. So we take the amplitude of the gradient on that axis those lines will stand out." ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [], "source": [ "Dx_pos = tf.clip_by_value(Dx, 0., 255., name=\"dx_positive\")\n", "Dx_neg = tf.clip_by_value(Dx, -255., 0., name='dx_negative')\n", "Dy_pos = tf.clip_by_value(Dy, 0., 255., name=\"dy_positive\")\n", "Dy_neg = tf.clip_by_value(Dy, -255., 0., name='dy_negative')" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false }, "outputs": [], "source": [ "hough_Dx = tf.reduce_sum(Dx_pos, 0) * tf.reduce_sum(-Dx_neg, 0) / (a.shape[0]*a.shape[0])\n", "hough_Dy = tf.reduce_sum(Dy_pos, 1) * tf.reduce_sum(-Dy_neg, 1) / (a.shape[1]*a.shape[1])\n", "# Normalized to 0-255*255=65025 range" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's plot the responses of the summed gradients" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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NU+VNYqcJS0RERCQm6rpIw5S8SexUeRMREZGYKHmTtabkTfL6979hxoxmR1GgypuIiIjE\nRF0XaZgqb1KvD38YPvnJZkdRoMqbiIiIxETJmzRMyZs0YmDeOW57gSpvIiIiEhN1XaRhmm1SGuGp\n2uUpFhEREZFalLxJw1R5k0Z4Spg8xSIiIiJSi5I3WWtK3qQenhImDZsUERGRmKjrIg1T5U0a4Sl5\n8xSLiIiISC1K3qRhSt6kEZ4SJk+xiIiIiNSi5E0apuRNGuEpYfIUi4iIiEgtSt6kYZptUhrhKWHy\nFIuIiIhILUreZK2p8ib18JQwacISERERiYm6LtIwDZuURnhK3jzFIiIiIlKLkjdpmJI3aYSHhKmz\ns9kRiIiIiNRPyZs0TMmbNMJD8paep5luwyIiIiIxUPImDdOEJdIIJW8iIiIijVHyJmtNQ9CkHh6S\nt7RarORNREREYqLkTRqWdnw9dIAffBB23LHZUUgeHpI3Vd5EREQkRkrepGEh2FTrHjrA//43TJ/e\n7CgkDw/JmypvIiIiEiMlb9IwT8nbuus2OwLJa+DAZkegypuIiIjEKW/ytgnwZ+AZYCowAtgUuAuY\nDkxMnpP6LjADmAYcmlm+B/Bk8tglaxO4NJ+n5G3w4GZHIHl5qLwpeRMREZEY5U3eLgEmADsB78WS\nsjOx5G0HYFJyH2Bn4Njk90jgCqAleexKYBQwPPkZudb/gTSVl+RNlbfKPvIROOmkZkdR4CF507BJ\nERERiVGe5G1jYD/gmuR+B7AcOAK4Lll2HXBUcvtI4AagHZgNzMQqdVsCQ4EpyfOuz7xGIhQCtLT4\n6AAreavsnnvgzjubHUWBh+RNl7cQERGRGOVJ3t4FLAauBR4BfgNsAGwOLEyeszC5D7AVMC/z+nnA\n1mWWz0+WS6Q0bDIeHs4zS3lI3lR5ExERkRjlSd4GAh/Ahj9+AFhJYYhkKiQ/0o94St5UeatOyVsx\nnfMmIiIiMcrTpZuX/DyY3P8zNiHJAmCL5PeWwKLk8fnANpnXD0tePz+5nV0+v9wbjhkz5r+3W1tb\naW1tzRGm9DZPyVuanHR2WkzNdvTRsGqVn+GKSt6KqfLWHG1tbbS1tTU7jKipfRQR6ZvytpF5unQL\ngBewiUmmAwcDTyc/JwEXJL9vSZ5/KzAeuAgbFjkcO88tAK9i579NAU4ALi33htnGSXzzkrylMbz5\nJgwZ0txYAG65pfZzetOgQc2OoMBD8qbKW3OUJhtjx45tXjCRUvsoItI35W0j8x6PPxX4AzAYmAV8\nHhgA3ITNHjkbOCZ57tRk+VRscpPRFIZUjgbGAUOw2Sud1CWkEZ4mLEljeOMNH8kb+BrK6SFhSnmI\nRcmbiIiIxChv8vY4sFeZ5QdXeP55yU+ph4Hdcr6nOOdp2GQ2efPCU/LmYdhkZ6f9bmmp/rzeoGGT\nIiIiEiMHZwdJrDwmb2++2dw4sjzNgOkhefNU7fIUi4iIiEheSt6kYR6TN0+Vt/XWa3YEBUreiqny\nJiIiIjFS8iZrxVvy5qnypmGTxTwlb55iEREREclLyZs0zOuEJV6o8lbMU8LkKRYRERGRvJS8ScM0\nbLI6Vd6KeUqYNGxSREREYqTkTRrmMXnTsMnylLwV8xSLiIiISF5K3mSteEvePFXePA2b9HCRbk8J\nU1p5ExEREYmJkjdpWFp5S6/f1exYQJW3SlR5K+YpFhEREZG8lLxJwzwOm/RUeVPyVsxTwuQpFhER\nEZG8lLxJw5S8VecpeRswoNkRQHu7/fawvWjCEhEREYmRkjdpmKfkLR26qWGT5anyVsxTLCIiIiJ5\nKXmTteIlefNYefM0YYmSt2KqvImIiEiMlLxJwzxV3jwlb2mS4iFhSnmIxVPy5ikWERERkbyUvEnD\nQoCWFh8dYE+zTaYJpIf1klLyVkyVNxEREYmRkjdpmCpv5Sl5K89T8uYpFhEREZG8lLxJwzwmb54q\nb56uf6fkrZgqbyIiIhIjJW+yVrwlbx5iWbXKfnuIJU2YPPCUvHk68CAiIiKSl5I3aZinDrCn5M3T\nsElP11ZT8iYiIiKV3HAD/OIXzY7CPweDqSRWHics8TBU0VPlTclbeUreREREfJkzBxYubHYU/qny\nJg3z1AFW5a08JW/ldXbCgAE+YhERERHrs3g4CO+dkjdpmJK38pS8lecpeUu3XREREfGhvd1HH8E7\ndV9krSh568rTTIZK3srzdOBBREREVHnLK2/yNht4AngUmJIs2xS4C5gOTAQ2yTz/u8AMYBpwaGb5\nHsCTyWOXNBq0+OCpA+zpnDdPsaTJm4dYlLyJiIhIJaq85ZM3eQtAK/B+YO9k2ZlY8rYDMCm5D7Az\ncGzyeyRwBdCSPHYlMAoYnvyMXKvopak8TViSJiceYvFUBVy92n57iMVT8tbZqeRNRETEE1Xe8qln\n2GRLyf0jgOuS29cBRyW3jwRuANqxit1MYASwJTCUQuXu+sxrJEKeqheeEiZPiaSnYZOePiNP266I\niIjYQV61y7XVU3m7G3gI+GKybHMgndBzYXIfYCtgXua184CtyyyfnyyvrqVF953eDwEm3dNS/EVr\nUjxpDFdf0/z1U5SkNPnzeu/uxeunmfF0dkLAz/ayzjrwq183f3vp1/dFRKTHPftsHEmRKm/55E3e\n9sWGTB4GfAXYr+TxkPxIP+Rhh+Bp9kBPFaaUh1g8xJBKLxUgIiLS133yk/DMM82Oojad85ZP3ot0\nv5T8Xgz8BTvvbSGwBbAAGxK5KHnOfGCbzGuHYRW3+cnt7PL55d5szJgx/73deu+9tGYfLP1Udb9p\n90OAw0YGwpLmx5MmbycdH/47lrdZ8XT+JfNQkz+v+/4ZYP/M4iZvL4MHBT4b8j2/J++n28sXRgV+\n24T376/32+69l7bM/l3qV9Q+trbS2tratFhEJA6vv14479yz9nY/B+Kboa2tjba2tprPy5O8rQ8M\nAFYAG2CzR44FbgVOAi5Ift+SPP9WYDxwETYscjh2nlsAXsXOf5sCnABcWu4Nx6hxj0LaAfZQ4vZ0\nDpOnypunc948XRjb0/bSn5QmG2PHjm1eMJFS+ygi9XrjjTjau/Z2GDy42VE0T942Mk/ytjlWbUuf\n/wfs0gAPATdhs0fOBo5JnjM1WT4V6ABGUxhSORoYBwwBJgB35vlnxCdPHWBvsYCPpNZT8ubtM/IS\ni4iISE964w0ffZJadM5bPnmSt+eB95VZvgQ4uMJrzkt+Sj0M7JYvNPHOUwc4BKvqePjSq/JWnqft\nxVMVUEREpCfFlLypXa6tH48sle7gpTPuLTEAH7EoefMfi4iISE8JIa5hkzEkmc2m5E0a5qkDrFjK\n83ZhbC/VLk+fkYiISE9Jq1kxJEWqvOWj5E0aFoJdtsnDF81TZ9xTLJ6qgJ7WSxqLiIhIIzo64NFH\nmx1FbW+8Yb89tL21qPKWj7ov0jBvnXFP57x5Wi+g9VLKUxVQRERMZ2ccU9oDTJ4MJ5/c7ChqS5M3\nD/2AWpS85aPkTRrmqTPuKRZPiYGnyVO8rRcv24uIiJgxY2CTTWDChGZHUtsrr8SRaMSWvKldrk3J\nW4TSSSg88NIB7uz0E4unxEDDJv3HIiIiZsUKWLkSnn++2ZHUtmRJHAmRhk32PUreIjNtmp8LGHrq\nAKfDJj3F4mEH5O0zUiwiIlJJ2m56aD9rWbIkjjZElbe+R8lbZJYsaXYEBd4mLPGSMHkbHugpFi8J\nk6dKrYiImM5O61d4aMtrUeWt+6nylo+St8gMGtTsCAo8dcYVS3mekhRvSa2X9SIiIsZTO1FLbMlb\nDLGq8paPkrfIKHlTLIqlb8UiIiLG0yiaWjRssvup8paPkrfIeErewE8H2FNn3FMsno5iar2IiEg1\nnZ0wcGAcHfjYKm8xtHeqvOWj5C0yAwbYbw87DE+d8TQWD+vFU2Lg6TPSehERkWrSdsJDW15LbMlb\nDLGq8paPkrfIpJ3N1aubGwf4nLDESyxeEgPF4j8WERExntryWmIbNhlDrKq85aPkLTLekjcvHWBv\nsXg5cqhql/9YRETEaNhk91Plre9R8haZdKNW8qZY6onFw87QUyLpKRYRETGxDJvs6IDly/3HCXEl\nbx0dapfzUPIWmXSjfvPN5saRUpLSlafEwNMQFI9JrYdYRETExFJ5W7rUfsfQhsQybLKzs/Aj1Sl5\ni4wqb5VjUZLSlafrvHlaL2ksIiLih6e2vJolS2z27xgSjVgqb+3t9tv7Z++Bui+R8VR5Sycs8bBD\n8JgYeInFS0Pobb14iUVEpKelHXjvYqm8rV4N66/vP06Ip/KWJm8xrNNmU/IWGVXeyvNUYfIWi5fk\nTbGIiDTHe95j52h5F8s5bzG1Iaq89T1K3iLjbbZJLzsvTzM8elsvXhJJxSIi0hxLl8KyZc2OorYQ\n4qi8xZJkQnzJm/c4PVDyFhlPwybBTwfYY8LkYQfkKUnxFouXaxSKiPS0zk5YubLZUdQWS0UrliQT\n4hs26T1OD5S8RUbDJuOIxUvj46kh9BSLp+1FRKSnhQCvvdbsKGqLpaLlqT2rRZW3vidv8jYAeBS4\nLbm/KXAXMB2YCGySee53gRnANODQzPI9gCeTxy5pPOT+zduwSS/VC0+dcU87dU/rxVMsnj4jEZGe\nFkvlLZaKViwTq4AlbwMH+m/vVHnLL2/ydjowFUhX6ZlY8rYDMCm5D7AzcGzyeyRwBdCSPHYlMAoY\nnvyMXMvY+6V0R+Fh2KSnzrhiqRyLlyTF23rxEouISE/r7Iyn8hZDUhRLnGDJWwwzY6ryll+e5G0Y\ncDjwWwqJ2BHAdcnt64CjkttHAjcA7cBsYCYwAtgSGApMSZ53feY1UgdvlTcvHWBvE5Z4WS+eZr70\ntF48xSIi0tNiqbzFMioiluGdYAf7hwzxH6sqb/nlSd5+AXwLyH7smwMLk9sLk/sAWwHzMs+bB2xd\nZvn8ZLnUydM5b+CnA+ypM66EqTxPjbKnWEREelpMlbcYkqKY2pA33rDkzXusqrzlVyt5+ziwCDvf\nraXCcwKF4ZTSwzzNNukpMfAWi5eduqeG0Ntn5CUWEZGeFkvlTee8db/Vq2Hddf3H2t5u8yh4j9OD\ngTUe/xA2RPJwYD1gI+B3WLVtC2ABNiRyUfL8+cA2mdcPwypu85Pb2eXzK73pmDFj/nu7tbWV1tbW\nWv9Hv+Gp8qYJSxSLYpF6tLW10dbW1uwwoqb20Y+nnoK//x3OOKPZkVQXQlyzTcaQFHk6VaOWWNZp\ne7slmf25Xc7bRtZK3r6X/AAcAHwTOAG4EDgJuCD5fUvynFuB8cBF2LDI4dh5bgF4FTv/bUryNy6t\n9KbZxkmKqfJWORYvO1KPsXj4jDwNM/G07fYnpcnG2LFjmxdMpPpD+3j55XDggbDzzs2OpLoZM+JJ\n3iCOypundqKaNCHyHifEE2t7Owwe7KPv1Cx528hayVup9KM/H7gJmz1yNnBMsnxqsnwq0AGMzrxm\nNDAOGAJMAO6s870Ff5U3Lx1gT7F4OufNU0Po7TMaMKDZUYhIOX//O7ztbf6Tt5iGIkIclTcNm+x+\nscSqylt+9SRv/0h+AJYAB1d43nnJT6mHgd3qeD8pw9Nsk+CnM+4pMfBU7fK2XhSLiNTS2eljdEkt\nsSRvaac9llhjSDQ8nU9eiypvfU/e67yJE7rOW3mqMFWORevFdywiUqyz02bI8y625C2GylssSVEs\nCRHEkxCr8pafkrfIeKq8eZuwxMsO31NioCGc5Xn6jESkmJK37hVT5c3TAcdqYkkyIZ5YVXnLT8lb\nZHTOm/9YlKT4j8XTZyQixZS8da/YKm8xVIliOTcP4qkSpsmb9zg9UPIWGc02qVjq4SlJ8bRePFWN\nRaRYbOe8ed+PxFR5iyV589S21qLKW9+j5C0ynipv4Ksz7ikWLztKT+vFU2Pnab2ISLGYKm9r1vhp\njyuJLXnz0k5Uk52xOIZYY6i8dXTonLe8lLxFRpW3yrF4SZg8nWfm7TPyEkssHQSR/iim5A38J0Ux\nDZv01JZXk7bz66wTR6wxVDNVectPyVtkPE5Y4uGL5ikx8HTCtackxdtn5CUWESmm5K17xXaR7hgS\njTR5i2H4fSzDJjs7YdAg/+vTAyVvkfE0bNJTB1ixVI/Fw05biaSI5LFmjZK37tTZCRtsEEflLaZE\nI7bKm/fbUuZSAAAgAElEQVT2LpbP3gMlb5FJv3xevoReOsCeOuPeYlHC5DsWESkW04QlEEfyNmSI\nJcXt7c2Oprp0Fkfv++Z05FEsyVsMSVEsSaYHSt4ik375PHwJPSYGHtaLp3PePMXiKWHyVAUUkWIa\nNtm90v3d4MH+k7eYEo2Yhk3GkBTF8tl7oOQtMp6uLeKpM+4tkVQs5WPxtL14iUVEiil5616xDfGL\noQMf2zr10m+sZs2aOJJMD5S8RcbTjs3TtbI8dcY9zZblqcKkKqCI5KHkrXtlE401a5odTXWeDlBX\nE1vy5qVPUk0sSaYHSt4io0qKYlEs3ReLiPgT2zlv3icCiS3RiKH6omGT3S+WOD1Q9yUy3o6geOmM\npztSD+vFU7XLY8LkIRZPn5GIFFPlrXt1dlqS4anvUIm3Pk4lsSXEsazTGOL0QMlbZDwNKfDUGVdF\nsjxPSYqnWDx9RiJSLJbkLR2CGEPypkSje6UJcSzrNIaKVixxejCw2QFIfTzt2Dx1gJW8KZZYYxGR\nYp2d/mdFhHgqb+n+LoZEw9MB6mrSdRrTsEnv69RT/9Y7Vd4i42nHpglLyvM2MYeSWt+xiEixWCpv\nafXFe/IW04QlsVRfVM3sfpptMj8lb5Hx9CX0NOmDp+u8eUqYvCWSXrYXT+tFRIrFNGHJ0KHxJG9e\n+g7VeOrjVBNb8hZDUhRLhdADJ10pyctT5Q3sqCM0f6fgKWHylkh6SVJ0zpuI5BFT5W2jjeJJ3ry0\nS9V4utRONbHNNhnLOvXUv/VMyVtkPH0J02GT6e1mx+KlM+4tkfS0vXj6jLzEIiLFYkrehgzxXyWM\nKXmLpQMf4zr13t55OsDrnZK3yHjrjLe0+Djy5Kkz7mlInqdYvH1GaiQkeunRsz52v7MTVq/2E0+l\n+z88u4VBgzLtsbP4sutznXVg9pyW4nPenMSXvV+0b3YQT6X7nZ1wxZUtxcmbo/iy99Pk7dwf+4in\n0v3zL2gpTtydxdf0+xlK3iKj5K1yLF6OgHmsvHmIxVPC5CmRFJFiHvbjeQ0cGMckIGk/0Pu69TS6\nqJq07fDQ/6klXacx8NJH8K5W8rYeMBl4DJgK/CRZvilwFzAdmAhsknnNd4EZwDTg0MzyPYAnk8cu\nWdvA+ytvHWDwsfPylKR4Sgy8bS9e1ounWEQaVroB95H7acd92VIf8VS6/4Pvh+LKm7P4sutznXVg\nxx1CcVLkJL7s/aLz+h3EU+l+ZyecflooPmjsKL70frpowAD4zrebH0+1+9/4eiiuvDmLr+n3M2ol\nb28ABwLvA96b3P4wcCaWvO0ATEruA+wMHJv8HglcAaR1vyuBUcDw5GdkjfeWMop2bA54q7w1Ow7F\nolhEZO2k7Zv3897S4WjeK2/p/s7L6JRqdM5b98pOrOI5TtClAuqRZ9jk68nvwcAAYClwBHBdsvw6\n4Kjk9pHADUA7MBuYCYwAtgSGAlOS512feY3UwdOQghCUvJXjrdrlKRZ9RiJSS2cnDB4cR/JWVHlz\nKrbrvMWwb44lKcp+9jGs0xgSdw/yJG/rYMMmFwL3Ak8Dmyf3SX5vntzeCpiXee08YOsyy+cny6VO\nnipvHpM3L+vFy47S04Qlnhrl9DMSEX86O2H99eNI3mKovMV0nbf0gKP3OGNJimKpEIKvPoJ3ebov\nndiwyWHA/tjQyayQ/EgvUOWtPE9fek+Nj6dEUrGISB5p8hbDFPxeDqZWE1sHXuu0+8RSIYR4PnsP\nBtbx3OXAHdjEIwuBLYAF2JDIRclz5gPbZF4zDKu4zU9uZ5fPr/RGY8aM+e/t1tZWWltb6wizb/NW\neQMfOwVPnXFP1S4Nm/QfS3/S1tZGW1tbs8OIWn9oH2OqvA0alFzWwLFYEg3wdYC6mnQGT+/rNJYK\nIcRzPbqelLeNrJW8bQZ0AMuAIcAhwFjgVuAk4ILk9y3J828FxgMXYcMih2PnuQXgVez8tynACcCl\nld402zhJMW87Ni+VN29JipdYPCWSnqqjnmLpT0qTjbFjxzYvmEj1h/ZxzRq7+HUMydvAgbBqVbMj\nqS6baHgf4pkeoPa+b04PAHro/1QTW+XNU/+2GfK2kbWSty2xCUnWSX5+h80u+ShwEzZ75GzgmOT5\nU5PlU7GkbzSFIZWjgXFYEjgBuLOO/0cS3obkpQ1Cs3deOudNscQai4gU6+y05C2GYZMxTVjipe9Q\nTSwd+FiqmTFV3jTbZH61krcngQ+UWb4EOLjCa85Lfko9DOyWPzQpx9OOzdM5b56qXZ4SA2/bi5f1\n4ikWESmWJkXeq0SxTVjiPdGAeM57imWdxhInaNhkPTTfWmQ8DSnwlrx56Yx7Gqrobb0owRaRWmJK\n3mKovMV2nTcvBxyryQ5H9NyOxDhsEnyvUw+UvEXG044tO2FJs79onjrj3qqAnmLx8hl5SrBFpFgs\nSVGMlTfvsXo6QF1NLBWtmIZNxpRoNpuSt8h4mm0SVHmrFIuXBNtTkuLtM/ISi4gUiykpiiXJ1Dlv\n3Su25C2GhCimRLPZlLxFxtOOzduwSU/rxcvOR5U3/7GISLHOThg8OI7kLZYkM4ZEA3z1carx1P+p\nJqaEKKZEs9mUvEXGW5LiZeflqTPu7dwuL7F4Wi+eYhGRYjrnrXvFlLx5G11USSzrNJY4wb7vsSSa\nzabkLTKeZmJS8uY/Fg2b9B+LiBSEUOjAx5C8xRJnLNd5i2XGwViSopiqWTHF2mxK3iLjrfIGSt4U\ni2IRke4R28yIXg6mVqNz3rpfbLNNxtDepZ99DLE2W63rvIkznpI38Fd587BePFW7PA0P9BRLur2I\niC/ZRCOGKlFMwyZD8B+rtz5OJaq8db+YYm02JW+R8XRUytOwSW+JgadYvCSSnmLxtL2ISEFsyVsM\nwyaz+14PfYdqYqtmxpK8eWl7q4kp1mZT8hYZT9dA8ZS8eUoMPFUBlUj6j0VECmJL3mKrvHlep+n5\njl7arGo89X+qiSXJBFXe6qHkLTKqvFWOxcsO31MsnoZwekqYPMUiIgWxdTZjqLzFMmwy3R/H8tnH\nsJ3GlBCp8pafkrfIeJpG1+OEJentlpbmxeIxYfKwvXgaqqjkTcQnVd66X7pO09texTZZTQyxxpQQ\npZcKiCHRbDYlb5HxVHkDX5W3NGFrdvKWVt488FQF9JQweUokRaQgxuQthjhjSN5iSYggvtkmY0iI\nsrNNeo+12TTfWmS8Vd68JW+eYklvN5PHKqBiEZFKYkzePLTH1cRynbdsnN73zbEkmjFV3mJJiD1Q\n8hYZT5U3jwmTl1iyQzibHYuXCpOnapeSNxGfYrsmWUznvHlPNNL9cixVohjWaSxxQlyxNpuGTUYm\nBD9H+rwlTOkRu2avm/TooYf1ooSpPE8VSREpyHbgYkiKvIyEqUbDJrtfLFWi2IZNxrBOPVDyFhlv\nlTfwsVPwmkh6iMVDHIpFRPKIcdik9zizo0Ga3VZXkx026TlO8HXAuJoYh016X6ceKHmLTDoMzsuG\n7S1h8hZLsz8nT8MmvcUSQ2Mm0t+kM87FkrzFVnnzvE6zs0163zfHkmjEVHnLzjbp/fNvNiVvkfE2\nDM5jwtTsWDyV/j0ND/QUi5I3EZ9iO+fNy2kM1cQ2bDKGRMNTO19NLEkmxBVrsyl5i4zH2SY9dII9\nDWHwlEh6SlI8xeLpIIiIFMR4zlsMccaQFMXUeY8l1tiGTaaXCvAea7NptsnIeDvnzVOSoljKx+Il\nSfGUvHmKRUQKYjznzUN7XE1MiYaXg7C1xLROY0jcIa5Ym03JW2S8TUMPPpIUTzM8ekrePA1V9FTt\nyn6PRMSP2JK3WCpvMVznLdZz3jzHGkucEFeszZan+7INcC/wNPAUcFqyfFPgLmA6MBHYJPOa7wIz\ngGnAoZnlewBPJo9dsjaB91fejvZ4SVKy14dpdiyexsJ7qjApFhGpRee8dT9v/YZKYqq8xHJNupjW\naUyxNlue5K0d+DqwC7AP8BVgJ+BMLHnbAZiU3AfYGTg2+T0SuAJoSR67EhgFDE9+RnbHP9Gf6Nyu\n6rF4Wi8ekgNvw2w9rBPwVQUUkQKd89b9YkmIYxs2GUOssSTuUJht0ks/wbM8ydsC4LHk9mvAM8DW\nwBHAdcny64CjkttHAjdgSd9sYCYwAtgSGApMSZ53feY1klN2WEGzv4gekzdvsXj4jLzsCD0lTJ7W\ni4gUpPuJmIZNgu99iad+QzWxxAnxJEUxDUVU5S2/es/62BZ4PzAZ2BxYmCxfmNwH2AqYl3nNPCzZ\nK10+P1kudcie29XsjdtrwqRYimMZMKC5MaQ8JUyeYhGRgtjOeYuhShhjnN73zZ5Oj6gmpoRIs03m\nV0/ytiFwM3A6sKLksZD8SA/zdGTK04QlnhImTzv17PV9mh2Lp4TJUywiUhDLED8oHublOdbYqkSx\nJBoxrdMY2ruYPv9my3udt0FY4vY74JZk2UJgC2xY5ZbAomT5fGySk9QwrOI2P7mdXT6/3JuNGTPm\nv7dbW1tpbW3NGWbflx1n7eGL6CVh8njOm5f1kk3eWlqqP783Ymn2OgFfQzj7k7a2Ntra2podRtT6\nevsYS5UI4qkSxpIQx3IeGcSXvMWQEMWUaPaUvG1knuStBbgamApcnFl+K3AScEHy+5bM8vHARdiw\nyOHYeW4BeBU7/20KcAJwabk3zDZOUsxb5c1TkqJYfMfi6bIFnhLJ/qQ02Rg7dmzzgolUX28fY0mI\nIL4OvPc4Pc0aXYunETbVxPLZQ1yJZk/J20bmSd72BY4HngAeTZZ9FzgfuAmbPXI2cEzy2NRk+VSg\nAxhNYUjlaGAcMASYANyZ55+RAk9HpjwlBp5i8bRT9xSLp4TJUyz1+vnPYdtt4ZOfbHYkIt0vxuQt\npoqW53Waba/SNquZo0Wq8TTapxpPs1/Xotkm88uTvP2LyufGHVxh+XnJT6mHgd1yvKdUoMqbYok5\nFi87ZU9VwHrNnOm3QyOytmJJiCCeIZ6xVF/SJBMK1RcvE26VimmdxlLNiinWZqt3tklpMm+VN/CT\nGHhaL95i8fAZeTrPzFMiWa+ODvsR6YtiSYggnkQzljiz52h7aD+r8TSqpZqYziOLKdZmU/IWGU+V\nN/CTGHhKUjzF4qmByTbMzRZz8tberuRN+q4Yh016TzRjqxKB//1zbOs0hmpWeoA3hlibzUlXSvLy\nVnnzkqR4isVbwuRlvZTOfOkhlmbH0YiODkvgRPqiGJO3WCpaMSSZ6bBJD32camJL3rzHCaq81UPJ\nW2SyszE1+4voKTHIXry82bF4XS8ethcvyZvncylq0bBJ6ctiSYhAlbfulm0jPLRZ1Xg6SFtNTAlR\nTFXCZlPyFhlV3irH4uVL73W9NDuW7FHVZscCcTRm5WjYpPRlsSREEE9SFEtCXDps0nOs3k5hqSSm\nhCiW75MHSt4i42na1+yEJc3+onlaL6oC+o7F00Q7jdCwSenLYh026TnWWDrFsZ3z5uVAejUxVd7S\nSwXE2jb3JiVvkfG2E/bQGQc/iUEai5cdkKehHV7Wi6dtpREaNil9WdqB854Qgb/2uJKYrvMW2zlv\n3tsRVd76JiVvkdE09PHEos+oWLYi6SWOZq+TRmjYpPRlsQzxg3hijaVTHOM5b97XaSxxQvFskzG2\nzb1JyVtkPI2z9pQYKJbqsXgYMuFlvXiJo1GqvElfFus5b55jjS3JBB99nGpiSYpiGjYZyzr1QMlb\nZDyNs/aYGHhYL56GU3iKRcMmu4fOeZO+LJbzyCC+pMhD+1hN6bBJz/tnT21rNTEOm/S+Tj1Q8hYZ\nT5W3lIcvmqcOuWIpz8twRS9JZKM0bFL6shiTN++Vt1iu85YdNumpj1OOx75YOaq89U1K3iLjsfLm\noROsWMrzkjCBn/Xi5dy7RmnYpPRlsVSzIJ5YY+kUZ4dNeq8UeeqLVRNT5S2drCiGRLPZlLxFxtPR\nHi+dccVSPRYvVSYv6yWNI3s/Jho2KX1ZLNUsiCfWmJI3zTbZvWL57CGuRLPZlLxFJls1aPbG7aUz\nno3Fww7K007d22fkYb1kh+ak92OiYZPSl6UzzsU0bDKWypv3OEuHTXreN8eSFMUybDJ7/VXvsXqg\n5C0y2cpbszdub4mBt1g8fEaeEkkvQzizR3ebHUsjNGxS+jKd89b9YrrOWyznvMWWvHk44F9NNk7v\nsXqg5C0yHsdZe+gAe0zePOyAvMbS7Mpb7Mmbhk1KXxVLlQji68DHEif4aLOq8XRgtJpYKm+libvn\nWD1Q8hYZnfNWnpeqjrdYPH1GnoZNxpy8adik9GWxVLMgniphTMlbbOe8xRJnLMkw+I/VAyVvkfFU\nefOWGHhaLx6SFPB1dNBLUps9ryLGGSc1bFL6slgSIoivA++9mhnTOW+eDqRXE8s2ms40Cf4/ew+U\nvEXG0w7DW/LmJUnxtl4US7G+cM6bhk1KXxVj8hZLUuS9mhnbOW9ezm2vJsZhk6q81abkLTKqvCmW\nenipdoGf9aJhkyJ+xZIQQWFmzFiSIg/9hmpKD6x5jzWm4YixxAn+E00PlLxFxlPlLeWhA+wlMQBf\nQxW9zU7qYb3Enrxp2KT0ZbGe8+alPS4nluStdNik51hjWacxVd4GDLDb3hNND5S8RUaVt+qxaL34\njCV7DRcPsWSHZzT7M6qXkjfpy2IbNhnTFPyxJJkQR7IRS1Kkylvfkyd5uwZYCDyZWbYpcBcwHZgI\nbJJ57LvADGAacGhm+R7J35gBXNJ4yP2bpn6PJxYPiaSXKmD2vZsdS+znvLW365w36btiSd6ybU4M\nSVEsSWZss0166ItVE1uFEPyvUw/yJG/XAiNLlp2JJW87AJOS+wA7A8cmv0cCVwDpfG5XAqOA4clP\n6d+UHDx9ET0mTIrFZyyeql0xD5sMQZU36dtirRJ5T4q89BuqiakD7/EUlnJiqxCC/1g9yJO83Qcs\nLVl2BHBdcvs64Kjk9pHADUA7MBuYCYwAtgSGAlOS512feY3UIVvVafbG7SUx8BaLl2oX+Fkvnqpd\nnhLJeqUdRCVv0lfFcs5btrMZS6LpPdGI7Zw3LyNsqomlQpi9VID3WD1o9Jy3zbGhlCS/N09ubwXM\nyzxvHrB1meXzk+VSJ49Hezx0gD0NVfSSMIGfRNJTtctTIlmvNGnTsEnpq2IZNhlj5S2WJBN8HKCu\nxkvbWosqb31Td0xYEpIf6QWejvbo/DvFUk8cXqpdnhLJeqXJmypv0lfFmrw1uw2sJqbrvMV2zlss\ncXrop1Wj2SbrM7DB1y0EtgAWYEMiFyXL5wPbZJ43DKu4zU9uZ5fPr/THx4wZ89/bra2ttLa2Nhhm\n3+Op8uYlMfAWi6drq2Vjaeb24ilhysaS3o9FWnGLNXlra2ujra2t2WFEra+3j+nwqZiqRLEkmh76\nDdWUHuTzHGss6zS2OMF/rD0pbxvZaPJ2K3AScEHy+5bM8vHARdiwyOHYeW4BeBU7/20KcAJwaaU/\nnm2cpJjXyluzO8DeYvEynMJLLJ6GKnqqAtaro8NijnXYZGmyMXbs2OYFE6m+3j7GeM6bh/a4GnXg\nu5+GTXav0slqPMfak/K2kXmStxuAA4DNgBeAHwLnAzdhs0fOBo5Jnjs1WT4V6ABGUxhSORoYBwwB\nJgB35v1npECVt/I8JrWeYmn2Z+Sp8uYpkaxXRwcMGRJv5U2klhiHTcZSJYwhzuywSc/75tgS4lgq\nmeB/nXqQJ3n7TIXlB1dYfl7yU+phYLc8QUllnpKUlIedrJckxVssXo4Oeqp2lSaSMWlvt+Rt5cpm\nRyLSM2JM3mKoEsZwnbeYZpv0dCC9mlgqb6WzTXqO1YPumLBEelF2GFyzdxiekhQvwwPBT8IEfj4j\nT9UuT1XAeqWVt1iHTYrUElOVKLbKWyyJBvjo41Tj6dz2alR565uUvEXGU+XNS2KgWGrH0uyjbp4S\nJk9VwHp1dMC669pRypjiFskr1nPeYojVQ7+hmpg68LGt01jihPja5WZQ8haZbKm+2Ru3xyTFw9El\nL+slfW8vsXjZMXuqAtarvR0GD/bfWRSfnn222RHUFuOwyVgqbzHEqXPeulcswyazlwrwvk49UPIW\nGVXeqsfiYQfVG+vl0kvhwQfzxQHN/4w8JUye1ku9Ojpg0CD70aQlUo/Fi2HEiGZHUVvaifOUvL35\nJtx6a/GymCpvsZyfFdM5b55Oj6gmtjjBf6weKHmLjMedsIcvmqdEsjd2lhMmwAMP1I7DS5LiKWHy\nFEu9Ojpg4ED70XlvUo+lS2H5cj/tRiXZSgH4+H5eeCGceGLxsliH+HlOMmM7581bX6ycbH8EfHyf\nyonp++SBkrfIqPIWTyw9WQV8+WV48cXacXg5kuUpYfK0XurV3l5I3lR5k3osX26/vc9U6u3i16tW\nwU9/Cq+9Vryv8BZnNTElGtlhk55j9XggvZxYEuLsbJMeRlB5p+QtMrqGWO1YPK2XnorllVfgpZfy\nxQHN/4w8JUyeKpL10rBJadSyZfb71VebG0ct3oYjLlsGG2xg37lVqwrLvVYKXnutayyxnPNWOmzS\n8745xuGInrbTUrEkmV4oeeshixbZ+QV/+Uv3/l1PR9A8Jm8edvi9MYVwnsqbp52hp4TJU1JbLw2b\nlEallbeYkjcPFa0VK2DDDWGjjYrXXbZS4CHO1NFHw9//XrzM04idamJJNCDedeq1vYslzno9+yxM\nmdL9f1fJWw/54x/tA6t1XlK9VHnrvVja2xtrkHv6mnNvvGFHV/MMm/SSpHiLxUsVMHX22fDII7Wf\np2GT0qg0eVuxoutjt9wCX/hC78ZTibdZHF97DYYOtZ/suvOYaHR2Wr/juee6Lo/lnLdsO+FhnZaT\nncnZy2dfiaeDuNVkZ5v0HGe9xo+H3/ym+/+ukrceMmMG7LgjLFnSvX/X00W6Ux46wD2RvB17LFx5\nZc/GMncu7L9/fX//lVdgvfU0bLJRnqqAqTvuyDeNu4ZNSqOqVd7++leYObN346nEW+Xttdes8lYt\nefOQZIIlba++CvPmFS/3NGKnmlhmm4xpZkSPBxnK6auVtzlzrM/W3ZS8ldHRAeecU3z/4ovr+xsz\nZ8K++8LChd0bm6dSvdfKW3esl6lTbcjrww/XHwfkXy+zZ8O//23VtLxeeQW23946FdVe56mB6c2E\nqb0d/vlPu509RyWVTWrT+802d26+iSQ0bFIaVSl5CwHuusuGYnvg7Zy3dNjk0KEwaxaccoot9xYn\nWPV+wIDKyZuXJLOSWDrwsSRE4KsfUE0sFcJ6zZ7dM/tWJW9lzJplw5jSI9uLFsE3vlG+I1jJjBnw\n4Q93f/Kmi3SXl01quyOWe++FXXaxJK4e9SZvixdb7NOn53+Pl1+GzTaDLbesPnSyGZW3BQvg9NPt\nO9SsWCZPhk98wt5jv/3gP/9pXix5vP66bQd5kjcNm5RGVZqwZNo0W+YxefNSeUuHTT7yCNx2my33\nWHl75BHrd8RaeYslKYqlQgjxrNNYEvd6zZlT2Lc+9VTXvlGjlLyVkQ5fShu7FStsQ8q70tvb7Uj6\nPvv4q7zVU+GpxVPy1t2xzJ8PH/2oJW/1/L16E4P0S/300/nfI03e3vlO2zFU0pvVriOOsIrghRfC\n734Hv/518eO9mTDNmmWxzJwJTzxRqMJlY/F0JPKFF+z3a6/Vfq6GTUqjli+3WRNLz3mbOtUOcrzy\nSvO/C+AvKcoOm3zuuUK/wFvlrbPTEsvPfKZr8pY96NvsOKuJ5Zy3mBKNWGLNTgDk+bOvR0eHte/p\nsMnLL4cbbuiev63krYw0eUvPV0sbu7zVkZkzYaut4B3vsOStO78sa3NtkRUrLK7umm2sJ5K3n/wE\nLrmksVi6c5KQF1+0ytvQoYXOdaqzs3LFK5uk5PmMFi+2Dko9Fb40eXvXu+D55ys/r7emXX7zTes0\nTJpk6+WUU+wk3ez/3psJU3ruzvjxdiDlnnvg8ccLj5d2EJpt7lz7XW/lTcMmpR7Ll8M223Td/y9Z\nAltsAeuvXxha2UzeKm/ZYZPPPWff0/Z2f0nmX/8KQ4bAZz9rBx/LXZPOc+UF4qloxZJkQjzDEWNJ\nMuvx4ovw1rfaPraz00bxLV3aPX9byVsZlZK3GTPyvf6WW+Cww+wo54AB5Wf3atTaVN5mzrQNZ+LE\n7osHurczPnmynQNWr7U95+0//4Gf/axw/8UXLdHdZx+4++7i5958M4wcWT0OKL9e7rijOL6XX4b3\nvz/fZBWpSZPgAx+Abbetnbz1RrUrPco7aZJNonLwwdbhyh797c0q4KxZMHw4jBsHe+1l5/McdVTh\ncW/DJutJ3t58EwYPtsqbkjepR6XkbelS2HRT62T0xIn19fJW0UqHTW60UWF/u2yZvzivv96GrG+4\nIay7bnEnMd3/ekgyq4mlAx/LUESIJ9ZYksx6zJlj8xOkB8YWL1by1qOefdZWdqOVtxtvhE9/2m5v\nvnn3Dp1cm8rbzJl2xP6vf+2+WLr7YtTPPgtPPtl4LI3s8KdNg9/+1hq/VJq8nXACXHdd8fP/8Ad4\n5hlYvbrr36p2cvCqVTa88Kmn7P7hh8Ptt1siNn9+vlgXLbIk6dhja1feeutE5RdesErgvfda8rbl\nlpZYZod09uYkIbNmwfe/b9/fww6z7+OiRYVhiV6St1dfhQMPtKGd73pXvmGTCxZYlWToUP/X6xJf\nli2z5K30YOKSJfCWt9h32MN5b94qb9lhk2lyWy55a3Zn85FH4IMftNvDhnU9eBZD5S17kM9zrLEk\nmRDXhCXppQK8r9O8nn/eTm9J962LFhWGXa8tJW9lzJwJe+xRnLy9/e1dr51SzqJFNrvMvvva/Z13\ntg5apWrSRRfV92E2Wnn785/h//4PPv7xrucANaq7h012dNjGPnu2rbN6O6eVYlm0yIbylYtx5kwb\nHnn99Zacp5PSvPgibL01fOxjlpz87ne2fOJEuO8+S+zKVcuqJQZPPlm4Ds+CBXDnnZZovO99xQ3t\n3H92S84AACAASURBVLnw4IPF99NE6Lbb7Fy8jTbKN2yyN5KUF16Agw6y3y+8YMlb6fl4vTVssr3d\nPsfDDoN//ANOPtkS3R13LAxN9XLO24wZ0NZm5wd+8pP5Km/pdvmWt3RfIyD9Q63Km5fkrfTi1z3R\ngW9rs+/f738PX/lK9cuuZIdNpkqTt95IMl96ydqecl55xWJ697vt/rbbFp+jH8t13kr3zTEkb57j\nBH8HGaB8mxvTOs1r8mQ7OL/ZZvYd7ZfDJk87zUqOPe31123l7rprYSWvWGGlzzwVtMmTYcSIwhGE\nW2+1kxQ/85muG+ybb8L3vlffdPSNVN46OuDUU60CMXKk/T8LFhQ/56mn4KabLKZaF3/OxrI2yVsI\nxUeBn3/eOv7Dh1vj+thjXV/z4otdK161ZngcMwauuqr4vKfUz34GJ54IZ54J73mPrYdVq2w72HRT\nG6J2223w9a/b5/TZz9qw2BEjylcIqyVMjz1mw1mmTLG/mXYG3vtea5jTRvWii+C737XbU6dacvnx\nj9vnOHFiYcjmu99tVcNK22UjyduyZfmrgLffbknEj39sieT229vyjTbqmrz11rDJK66woZJvf7sl\nxVtvbct33RWuvdY+sw99yLbzno6llvRg0Kab2gxxeZO3rbay9V5vIxBCvuqe9E3Vznnrb5W3Sy+1\nc2Ivugjuv7/6RXSzlTewfcbSpb3fKb75ZvjRj8o/9thjsPvuhXh23bV4EixvlbcHHoD/9/+6LveY\naJQTS5zgr0r43HPW5ynlLc7ucO+9VojYbDPr4y1d2s+St8ceg1/+suuU3z1h9uxCmTNbedt+e8ua\na3nggcLQBbAd/RFH2IaYHXb5wAOWMLz5Zn1Th6ad4HqOTIwbZ53ZgQNhhx2sc3vaaZaodHZa5/sj\nH7Flp55q8eaxtsnbz39uQwdTTz9tCdRVV8Exx3RNtm6+2TrjpRfOzr53aSwh2DDH447rOlw0BLuW\n21lnwbnn2hGS446zc6S23LKQbOyyi31WH/ygxbXffrDbbuWTwWpJyqOPWoVlyhRL8keNsuVpJWXR\nInv+rbfa9tHeDv/6F3zqU3Y+yvjxdv7doYfa64YNs8rScceVX7+NDJe45BL4zndqPw9scplTT7UK\n5DveYVXmdL2Vq7zlTd5uvrmQXNVjzRr46U+Lz11M7bYb/OpXtu7WrLGhinli6UnPPw+f+5wllUOH\n5kve5s9vPHmbOBGOPrqhUCVyIVjyNmxY12GT2cpbfznnbc4c61dMmwbnnWejUirJXioAbB12V+Ut\nBLjggurnr6YHXaZNqzz659FH7dzp1C67FIbng7/k7e9/t35J6WzJpcMmvXbge2sysHqdd17X2Qy9\nVbRmzrRts/QgUkyzTa5ebQdcs/3XUgsWWML2vvdZ/23aNFver4ZNXnYZbLxx+c5yd3v+easibLpp\ncfL2znda41dpJ9vebue5XXAB7L9/8WMtLXDIIZYUrFplw7h++EO78PegQfmGY6bqrbyNHWsXHB83\nzs7d2ntvm4TjT3+y++PH2+20qnTNNXY7b/Ut/f/q2XmNHWuVtQsusHH66Zf47rvtKMWHPgStrV0/\n7ylTLAktnTim2gyPc+faUdPTTrNOcjYpeOopeywdavKjH9kRoXPPtS9c1je/aZ9TmhgccohVz0r/\n72pD8h57DI4/3pKdadNsaN+++9p5kek5Ck8/bfFvt501yI8/bkdUR42yaty7312oJoFVbh94wJLK\nG2+svF7y7gzvv7/Q6JebaOeFF+xgw9Sp1vD+8If2We24YyF5g8aHTV59tSWrkybVjrXUP/5h20e5\no3qjR9v/tXRp8bl3pbGsXm3fy0omT+6+RuW552DPPS2h3GCDfFWxtam8PfNM/dctlL5hxQpYbz3r\nRKjyZu3CxIm2vzrkEOtoVfpulA6bHD68+855e+wxOzD46KOVZ/q8/XYbKj9tmu1Ty62P226zzmRq\n113LJ29eJix56CHrZ117bfHymGab9JhojB9v/cwsb1XC9BSR7PYJcVXe5syxn/vuq/y9/cc/LBcY\nMMD2rc88YyMf+k3l7aGHrBJx3nldO/PdvVP//e+tklAuedt4Y2v4Kg3dPO00e97LL1sVq9RBB1kJ\n9a9/teGJ995rFY6TT85feQvBOpcDBuTbuB94wJKxBx+0o3LHHWedxG99y+K45x7beX7/+5Y8tLba\nOt1rr8LRm6eeqnyOXCOThMyfb8nR6NHWwOyzj1VLli+3mRjTIxm77971854+3Rqx0vO8qlV1nnjC\nqi4jRtj7nXqqfUajR8OXv2wzI6a23tou7vzgg8UNYWrYMJuKGezvrVzZdQdUmkim2+iaNYUhe1ts\nYUnADjtYZW3IkELy9te/WuXzox+15Prxxy0Z+djHbHjkCScUv9/QoXaU9dZb7XPNXsevVrVr9uzi\n5951l8X17LPWmRk2zBLm732vkMyffz6ccYYdqf7EJ6yae889ts3vs4+ta7DvUPagRN7K209/atvA\nvfeWf7x0XaeWL7fv0xe+UP65G2xgyeXdd9v/duut5WN54gkbIlvuXMKnnrL/sdpsrR0d1hHL47nn\nbD2l8dWqvHV22jaw5Zb1J29/+pM1Hi++mK/Cl3roofyz7Ipf6ba20UbVZ5vsjVMTalnbKfhXr7Zt\nvZKVK62t7uiwNmHAABt98elP23D5UqXDJsslb40mRb//vR3A/ctf7Htdbv1PmmT75cces/crvYbb\nfffZQbVsVf0977F+RXqKgafrvIVgbew558Df/lb8mNekqJTHiVVeeskOQJS2P94mLEm339L+XSyf\nPVjfafhw+6nUPk6eXBiFt8UWts1vt53tT7rjO+g6eZs61c7vueIKq8hkP+xFi+woe3dNvgE242Cl\nytvQoVYhKR06OX++7VzvvNMSnk02Kf+399vPJi25/nobpvjzn1tH+MQTrQr1+993fc2UKcUl1rlz\n7Zypt7618g5jwgR73c03W6f7G9+wuLM23NDW6/Tp9vM//2PLDzgATjrJJlD4xS9sxs399rOkb86c\nru9Xa9hkR0fXDfuaa2x44jPP2BHPE06w9f6979kGvcsu9rzdd7fPP51ABCzWkSO7ViprTRKSJhTX\nXGMN2mGHWUN4yinWaGd96EP2O51wppKWFov9l78sbnCzsbz3vYUTzGfMsO11440tiWhpseQoteOO\ntk387ndw5JGWiPz5z9Z5fu97bXu87LKuyRtYAvrZz9rfvflmS4Cuvrr6TnvqVNvO0wTu4ovtvLpN\nN7VOxI03Wifv5JOtanvRRfa8f/3LtvXrry90FtL/96MftSGvYDu1l14qdBRrnfMWgiWBK1fakeh7\n7qm+/sEqkV/5inXAvvxlW4ennFL9NR/+sH0O6TZfbmgrwOc/X5h99IknbL1eeKFtu9WuQ/irX9lz\nfvWrys/p6LBK6j//aesJ8iVvixfb/mXw4PqStxDs/dLKbHodvDx+9jM7Z7fZDb6sneees6r95pvb\nwYvsBd7TytvOO9tIiGbLU3lbtMj269tv3/Uc6JtusnZk7Njyf3/u3MIw77RtGD3aRguMG9f1+dlL\nBQwaVDh6nmd454IF5RPC5cttP3LttfC1r9k5eKtWdU1mwPYTG29sf2fPPbseWLr8cjugNnBgYdl6\n69n/k06q1ZvDJl94wSoO2X3/lCmFSbjSa9AdfbQdEMsecMyu00GDGhs+3xs8VokmTbL+0bRpxevN\nY+Vt550Lpy6kSmebbCTOKVNs5E52/9aoxx+3/ncIcPbZxe1tmifssEPlWeinTLGRbmB9zmnTLInb\naKPuGTrZjORtJDANmAFUPbvmlluss/qpT9lKWrascMHk9HytU0+t/YZr1tjskdXG8y9aZB36ceOs\n8rHddrZxdXYWdt5vf3vXySEOO8yqIt/+tn0olbzjHbZznTzZdtannWbLt9/eKkHf+pZ1DidNsqrO\nmWda4vTTnxb+Rno+XUsLvO1tXceLP/qoDZ/73/+1ROV977POdznpRByPP247erD4x42z182aZZ3F\nJUussXr3uy2ZSL35ZmGMcqXkLb3OVnqBwjvusMrSj39sjdGhh9o5Pz/7mXV2P/axQgc/rZSkk7ms\nWWMdkEMOsYQj/WI//7wlYNttZ/dLY7nvPksEwT6/886zhGj0aBvCmE2gwGbp+s53rANey9e+Zh3i\nYcMKX+zsjvKEE2wYw+rVxeck7LSTrc90RwU2ZPPzn7fPd//9LUF/8EH44x+t5A6WoLzlLV3jGDPG\nDnB86Uu2bs86yzow1ZLaiy+2AwGTJtnBiXPOsW3h7rstGbr6anvN44/bdvmnP9n/+Nxzlsz/z/9Y\nsl/JwIG23tPPr1os8+bZtnX44XbwYMQI6/SUdiRDKLxu1SqbZODaa207vfFGG8JZ70W3W1qKKxGP\nPWb/29Kl9p3cfXf7P7/wBdt+J0ywuNLx62DrZNIkS75+8hNbd+ecYw3I4sU2TPqMMyzm66+3z3P+\nfBsimyZvG25Yftjk3LmF9TBlim07UF/ytmiRfcavvmrvd/HF1uD8+Me1X/vMM/Y/Dx9efWZT8W3W\nLNtHbryx7a/SySw6Omy73XhjqyrPnNm71bfp07sO0a+VFHV02HfzoINsn146xPo//7H284Ybyh9E\nmTvXEptPfKIwSqalxb6jl13WtS1Lh02+5S3W+Upneq1WefvmN20ky267FQ58pUKwdX3ffXaQ6sQT\nLTE7/HDbx2QtW2YH/r70JesDbb+9JWTpgZ4337SDaZ/6VNf/c++9bRh8uk4bvT5sXiFY9XL//W2f\nNWmSfU477GBt2yGH2LqcONEOoq2/vu3Psvv57EG+nXZq7LJBvaFWlWj69K6jcnrSypVWDDjpJNtG\nyk1WAz4SzXnz7EDxlCm2js4/35avbYVwwQLrjz/wgB1krnWa1ezZxespdfPN1n868EDrs51yirXn\nd95ZeE6l5O2116wY09FhfYk99rDlu+5qB5ff/vbumym6t5O3AcBlWAK3M/AZYKdKT544sTA5w4AB\ndlTh9tvt/tSplqTMm9d1GEGpZ5+1HUS165tddpntAE86yYYc7LSTJWyTJxdX3qZPLzQmc+dadeHM\nM20HXE1Li3UCv/hF22mlNt3U4n/oIat4nXBCYRamq66yJKy93Xbud9xhO30oXCMs3cDb2+FrX2vj\nBz+wpO6OO6zRSIf5ldPaau9fzrrrWgLV0mJHBT/72eIq5znnWLK17rqVv2i//a01kkcdZR3Fj3/c\nOhEHHGA75T33tOcddJCt09KTP/fd1xqD006zxvBtb7OfjTayL+qjj1qC+8orhQZ8nXWsM51OVPLs\nszZJSGrvvS1Ryl60GaCtrQ2w/+X88y25rWWzzWwHceihNsRx8eLiJGWHHex/2G03265aW235LrsU\nOu3Z9T1qlCUjgwbZsne8w6pwtQwebK8/4ghr5H/9a2u029vL7wzfeMOSsbPOsg7OD35gn8F73mM7\npJNOsp3qYYfZjuYzn7Hl73qXVfmuucaqhOtk9h7p+svac087qHHDDZXPeRs3zhLmNO5zz7X/58wz\n7b0uuMCet3ChfdZDh1qH4JJLLMm7/XZrBK67ztZ3vb7yFds+Hn3U1v0991gn7vHH7Xv49a9bAvPF\nL9oFcDff3GI97rjC5T9+/GPbPs891zou/+//2Xb/mc8UjqhPnWrr9Ywz7Hv0t78VDji0tbX9t/LW\n2VkYQ//EE7bz/9jHbB90zTWF/Uw9ydvMmYVt6qMftXV+zDH2uVc7x2nNGus4zpljzyutUosvHR22\nfy23L04rb2BtyAMP2O1ly2x/us46to20ttoBnEpmzbLtudEOYHY/cfnlto849tjiv5c9Al9aeVu1\nyjpBM2bYfvyYY2xflnX//bYvvO02OyWgtNI8Z47tW886yzpoqQMOsP1o9iAlFIZNbrstXHRRW9nk\nLZtkLltmB3AOOsgOEJYOs378cTug96c/2YHSnXayfe0ll9jQ9WzyPG5c4e984Qv2GZ5+uvWF0tEK\nu+7adXQN2L4obbOz57x1dLR1fXIFL71UGM6fnkv15z+Xnwl66lTbJ/72t7Zv+c53rF2+8UZrTw44\nwF579dW2LwTbFrMT0WXbib32Kr5kTqpcW9PbqlWz7r/fYv/qV8u/trvjf+YZayv32su+D3vtVXxA\no7uHI65t/PPmWd99xQrrh511lh3AWdsK4ZVX2v9/8snWl9pjj/LzSbS1tdHebv39E07oOsHdN75h\nrz/9dDv4s3ixJXDZdTp7dtfkLZ3879BDrc3eZhs7KAa23k85xZLBRs5X9+CDQCZ/5czkJyuEEMLS\npSEMHRrCa6+F//rjH0M48EC7/eUvh3DppSF85jMhXHFFqGrcuBDe8pYQDjmk/ONz54aw6aYhzJpV\nvPycc+z9dt89hLa2EI47zo79H3BACO9/fwgf+EAIJ5xQ/b2zVqwIoaOj8uOrV4fQ3l687MADQ/jN\nb0LYd98Q9tgjhOnTbXlnZwjbbRfCD38YwsUXh/Cxj4Xw7nefHZYtyx9PPR54IIRddgnhzjtD+OUv\nQ3j720N46SV77EtfCuGyy0K4+mr7H1atCuGOOyy+116zxwYPDuGii+yzKOfcc0NYubJ42b332ue7\n1172eT/yiC0/7LAQ9twzhK22CuHXvy5+zb//HcLw4baudtjB4s7j7LPPzrsquvjd72y72G23EObN\nC2GTTQqPvfaafX7Z/23VqhDmz2/47XLZaacQbrwxhHe8w+4fcEAIn/ucbcdXXBFCa2sIL79s6/f4\n40OYOrXw2s7OEH72sxCefto+u3TZvHkhrFlT/v3Krb/bbgvhwx8OYbPNQjj5ZNt+QrDvzeTJISxc\nGMJb3xrCLbfYd2zFiuIY2trstZdeGsIRR4Tw1a/aejvmmBA22CCEGTPWejWFEOzvDhxo6+IrX+m6\nHZZ64w37DrzznSF85zv2eQ8dar/Tz3X27BA+9akQWlpC+MtfQpg5M4R11gnhJz/p+vfOPvvs0Nlp\nz/35z0PYeusQbr89hJ13DuGaa+zz+chHQthiixBefdVeM2tWCNtum+//u/baED7xCfueLl4cwp/+\nZNvrOuuE8Oc/V94nzZxp28/pp9v3aostQnjwwcLjV10Vwt57h3DWWSE891y+WEoBDgYcRaXLOjzx\nxBDGjw9hn31sO7zwwq7r+ZBDQvjb3wqf2+c+Z7enTbP9dOrqq20/lrYzWS++aO3k5z9vz/n974sf\n7+iwfc4dd9h+4l//CuH114ufk27rHR22/d5/v+2rfvrTwrZ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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "\n", "fig, (ax1, ax2) = plt.subplots(1,2,sharey=True, figsize=(15,5))\n", "\n", "# Arbitrarily choose half of max value as threshold, since they're such strong responses\n", "hough_Dx_thresh = tf.reduce_max(hough_Dx) * 3 / 5\n", "hough_Dy_thresh = tf.reduce_max(hough_Dy) * 3 /5\n", "\n", "ax1.plot(hough_Dx.eval());\n", "ax1.axhline(hough_Dx_thresh.eval(), lw=2,linestyle=':',color='r')\n", "ax1.set_title('Hough Gradient X')\n", "ax1.set_xlabel('Pixel')\n", "ax1.set_xlim(0,a.shape[1])\n", "\n", "ax2.plot(hough_Dy.eval())\n", "ax2.axhline(hough_Dy_thresh.eval(), lw=2,linestyle=':',color='r')\n", "ax2.set_title('Hough Gradient Y')\n", "ax2.set_xlim(0,a.shape[0])\n", "ax2.set_xlabel('Pixel');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Awesome, they show up clear as day. Since we've normalized the hough gradients to pixel values of 0-255, let's arbitrarily threshold half-way between." ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0 44\n", "0 45\n", "0 45\n", "0 44\n", "X [ 93 138 182 226 270 314 358] [45 44 44 44 44 44]\n", "Y [ 62 106 150 194 238 282 326] [44 44 44 44 44 44]\n", "Chessboard found\n" ] } ], "source": [ "def checkMatch(lineset):\n", " \"\"\"Checks whether there exists 7 lines of consistent increasing order in set of lines\"\"\"\n", " linediff = np.diff(lineset)\n", " x = 0\n", " cnt = 0\n", " for line in linediff:\n", " # Within 5 px of the other (allowing for minor image errors)\n", " if np.abs(line - x) < 5:\n", " cnt += 1\n", " else:\n", " cnt = 0\n", " x = line\n", " return cnt == 5\n", "\n", "def pruneLines(lineset):\n", " \"\"\"Prunes a set of lines to 7 in consistent increasing order (chessboard)\"\"\"\n", " linediff = np.diff(lineset)\n", " x = 0\n", " cnt = 0\n", " start_pos = 0\n", " for i, line in enumerate(linediff):\n", " # Within 5 px of the other (allowing for minor image errors)\n", " if np.abs(line - x) < 5:\n", " cnt += 1\n", " if cnt == 5:\n", " end_pos = i+2\n", " return lineset[start_pos:end_pos]\n", " else:\n", " cnt = 0\n", " x = line\n", " print i, x\n", " start_pos = i\n", " return lineset\n", "\n", "def skeletonize_1d(arr):\n", " \"\"\"return skeletonized 1d array (thin to single value, favor to the right)\"\"\"\n", " _arr = arr.copy() # create a copy of array to modify without destroying original\n", " # Go forwards\n", " for i in range(_arr.size-1):\n", " # Will right-shift if they are the same\n", " if arr[i] <= _arr[i+1]:\n", " _arr[i] = 0\n", " \n", " # Go reverse\n", " for i in np.arange(_arr.size-1, 0,-1):\n", " if _arr[i-1] > _arr[i]:\n", " _arr[i] = 0\n", " return _arr\n", "\n", "def getChessLines(hdx, hdy, hdx_thresh, hdy_thresh):\n", " \"\"\"Returns pixel indices for the 7 internal chess lines in x and y axes\"\"\"\n", " # Blur\n", " gausswin = scipy.signal.gaussian(21,4)\n", " gausswin /= np.sum(gausswin)\n", "\n", " # Blur where there is a strong horizontal or vertical line (binarize)\n", " blur_x = np.convolve(hdx > hdx_thresh, gausswin, mode='same')\n", " blur_y = np.convolve(hdy > hdy_thresh, gausswin, mode='same')\n", "\n", "\n", " skel_x = skeletonize_1d(blur_x)\n", " skel_y = skeletonize_1d(blur_y)\n", "\n", " # Find points on skeletonized arrays (where returns 1-length tuple)\n", " lines_x = np.where(skel_x)[0] # vertical lines\n", " lines_y = np.where(skel_y)[0] # horizontal lines\n", " \n", " # Prune inconsistent lines\n", " lines_x = pruneLines(lines_x)\n", " lines_y = pruneLines(lines_y)\n", " \n", " is_match = len(lines_x) == 7 and len(lines_y) == 7 and checkMatch(lines_x) and checkMatch(lines_y)\n", " \n", " return lines_x, lines_y, is_match\n", "\n", "# Get chess lines\n", "lines_x, lines_y, is_match = getChessLines(hough_Dx.eval().flatten(), \\\n", " hough_Dy.eval().flatten(), \\\n", " hough_Dx_thresh.eval(), \\\n", " hough_Dy_thresh.eval())\n", "\n", "lines_x, lines_y, is_match = getChessLines(hough_Dx.eval().flatten(), \\\n", " hough_Dy.eval().flatten(), \\\n", " hough_Dx_thresh.eval()*.9, \\\n", " hough_Dy_thresh.eval()*.9)\n", "\n", "print \"X\",lines_x, np.diff(lines_x)\n", "print \"Y\",lines_y, np.diff(lines_y)\n", "if is_match:\n", " print \"Chessboard found\"\n", "else:\n", " print \"Couldn't find Chessboard\"" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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vFUPeE0MaSiYiEWiOIf/ySgyvnXNlqGLIv+I2jPqdVMVQ9RyeQos05rliqFbz\n21sVITHkLVDyPJRs61YlhkQkBg0l8y9PKsyYUXVLOid6xZDmGIpBiaHqBf4KSWo8X67S885QiaHu\n8zwcq9jrJSLiWQqJIW/Hx8nKj0leY7AyolcMpXBVslQSQxpKVi2F5xKG94ohrzvDZ5/1W+3kdSjZ\n8LDfoWQ68ItIFCkkhrwdHycrlWqT6BVDXjuGy4q+DcF3J3kUgb9CkhrPiSHPO8PnnoPddqu6FVOj\niqHu8/xZFxEpUmLIvxSSCtHnp0mhYih61ReoorwX6O2XMLxPPu31ZNlzYii/koy3QMlzYkgHfhGJ\nIpXEUOR9tq5o5V8qVV+Rk3ugivJeEPgrJKlRxVA1Nm70e0U1rxVDnief9vxZFxEpSuWqZF6P8WWk\nkFSIXjGUwlXJUpljSPFhtQLvBiU1nnt9PFcMbdnid74br3MMeb5cvQ78IhJFChVDtVrsS7mnMJQs\nesWQ5/i/rFQqhhQfVqvsV2gVcBewFFiSLdsLuB64D7gO2KPw/NOB+4GVwNzC8sOBZdnvzp1qo0Ua\n8Vwx5Dkx5HlH7rViyPtQMq+fFxGRohQSQyMjsRNDKSQVUqgYij7HUPTkHmgoWS8ouxusAf3AG4A3\nZctOwxJDBwE3ZI8BDgFOyn7OA84H8q/qBcCpwJzsNq+l1osUeE4MeU6ueD7RV8VQ93n+rIuIFKWS\nGNJQMt+iJxVSqPpKYfJpxYfVm8xXqP50+zhgUXZ/EXBCdv94YDGwGas0egA4ApgF7MZoxdHFhdeI\ntEyTT1fD847ca8WQ5/fcc9tFRIqUGPIvtaSCt46wMlK4KpmGkkk3TKZi6L+A24APZstmAkPZ/aHs\nMcC+wOrCa1cD+zVYPpgtH1/9t1yP9bjJ41oNvn9l39in9FD7xnvcdGfYI+0b7/GY0s8eaM9kHg89\nbo9fTAz1WPuaPW6aSOyR9o33eMxnvQfao8cVPhZxLpXJpzWUzDdVDPkXffLpWs13J3kUZUfyHQU8\nBvwWNnxsZd3va9lNpDL5jtLjgaFW8zuudmQEtt++6la0xlvvi+deFR34RSSKFCqGUph8OnpiKHrF\nUGpzDEXchp5HfURS9lT0seznE8APsHmGhoB9gDXYMLHHs+cMAvsXXjsbqxQazO4Xlw82+mcLFix4\n8X7/jTfSX/xlfZpUj/W4cPfE99TYua/c83vpcdMT/R5p33iPa0cX2t4D7ZnM4+2m1dg60je6uMfa\nF+3zUhsF6jX9AAAgAElEQVSpUZvm9/Oix1N/PDAwwMAZZ0Dh+C7iXQqJIQ0l8y96xVCe+Iq8DYvJ\nvYjbMIXkngdlEkM7A9sBG4BdsKuMLQSuBk4Bzs5+XpU9/2rgUuAr2FCxOdi8QjVgPTbf0BLgZOC8\nRv9wgQJHmYI82+xxp1Kr+a2i8Fq9smXL6H1vvS9e3/M8mPH4HZXW9Pf309/f/+LjhQsXVtcYkTbJ\nh1JHTwztvnvVreic1JIK3uKdMvLEV+TYIvpQshQq9zwokxiaiVUJ5c//HnZ5+tuAy7GrjK0CTsye\nsyJbvgLYAsyHF4eZzQcuAmYA1wDXtth+kRfliSGPOxWvJ/rgt+2bNmWXfH/e30HWayIxhQBcRNIx\nMgI77QTDw1W3pHNSqBiKflxKYRhSCtswenJPFUPVK5MY+g3w+gbL1wLHNnnNmdmt3u3AoeWaJjI5\nqhiqhte2Dw9nl3x/3t9B1msyTgd+EYlkZARmzIhfMRR9jiGvnYplaRiSf9GHA6bwPfRAb7+E4bli\nyGtyBUZL6b15sWIIfwdZz4khr8lbEZF6tZpVDEVODNVq/i8wMZ5Uqk0iVwylkFSIPhwwXz/Fh9UK\n/BWS1Hg+6fR6og9+275582iw6+0g6zWRqAO/iESSSsWQx86fslIYSha9YiiF2CKVOYYib0MPAu8G\nJTUaSlYNr20vJrS8HWS9JuN04BdxpP6LqsfbPB4ZsQ6GhkmFHmhfOx43TQz1SPtafZx3Kn7+jN5o\nTycej4zAa183ur5Vt6fdj0dG4Bc39Y39HvZQ+9rxePFlfWMrhnqsfa0+3m33vrEJ2h5rX7jHTSgx\nJGF4Hkrm9UQf/Lbdc++L1x7cFHpmRSQdeVIhH5YcUZ78iqpYTRNVMcbxFu+UkSe7onc65esXcRuC\nOg57QfBdoaTEe8WQxxN98J0Yyj8r3oaSeX3PPX9HRZJTf/ahx9s8zpPdDRNDPdC+djxu2hHRI+1r\n9XG+Dc/6Qm+0pxOPR0bgnhWj61t1e9r9uFaD/qNrYxN8PdS+djz+0z+pje3M7LH2tfr4qSdrYxND\nPda+cI+bUGJItrF1a9UtmJpazW81gtcTfbD33WPbPVcM5Z91bzSUTEQiGTcxFITn+KSMVCYujlxt\n4nmO0bJSuVx95O+hB3r7ZRtf/nLVLZia/MDn8cDgNbkCfoc1FZMr3g6yXt9zJYZEJJL8OBI5MVSr\n+TzelOW5U7EsJRX889yZWYbiw94Q+CskU7VhQ9UtmJo8MeTxwOC5R85r2z0fZD2/516/oyIV2Am4\nFfgVsAL4QrZ8L+B64D7gOmCPwmtOB+4HVgJzC8sPB5Zlvzu3o61OSCoVQ5ETQ6kkFbwOnS8jT+5F\nTiqkktyLvA09CLwblKnyusNRxVA1PCcpvB5kvb7nKQRvIm30AvA24PXAa7P7bwVOwxJDBwE3ZI8B\nDgFOyn7OA84H8m/bBcCpwJzsNq8raxCcJp/2L4UOi2KFtLeOsDJS2IbF5F7UbRg9QeuB3n7ZhreT\n5JwSQ9Xw2nbPFUOaY0gkGRuznzsA2wFPA8cBi7Lli4ATsvvHA4uBzcAq4AHgCGAWsBuwJHvexYXX\nSAtUMeRfKkPJIlcMpRBbeJ7+oIwUtqEHgXeDMlVedzgaSlYNr0Gj50DJ+3uuA79IadOwoWRDwI3A\n3cDM7DHZz5nZ/X2B1YXXrgb2a7B8MFsuLUolMeQ1PikjhUqF6BVDqST3Im9DJYZ6g8NTC+k0byfJ\nOVUMVcNr0Oj5IOv1PU8heBNpsxFsKNlLgP/EhpMV1bJbWyxYsODF+/39/fT397frT4eUQmIo+uTT\nqQ1D8hrjjyeFTifPMWsZKXwPqzQwMMDAwMCEzwu8q5ep8rrDUcVQNbwmtTz3oGkomUhy1gE/wSaR\nHgL2AdZgw8Qez54zCOxfeM1srFJoMLtfXD7Y6J8UE0MysXxfvMMOVbekc7xWqJaVQoeF53injBS2\nYQrJPcWHnVPf0bNw4cKGzwv8FZKp8rrD8V4x5DXw8prU8j75tMfPiw78IpOyN6NXHJsBvB1YClwN\nnJItPwW4Krt/NfBebD6iV2CTTC/BEkjrsfmG+oCTC6+RFqRQMZTC5NNKKviWQmyRSnIv8jb0wOGp\nhXSa14OG58SQ1+QK+G2757Jcr++55++oSAVmYZNLT8tul2BXIVsKXI5dZWwVcGL2/BXZ8hXAFmA+\no8PM5gMXYQmma4Bru9D+8FK5KpnHjoiyUhjCEj2pkMI29NyZWUYKCVoPAu/qZaq87nA8DyXzOjQI\n/A4l83yQ9ZoY0oFfZFKWAYc1WL4WOLbJa87MbvVuBw5tU7skk+/Tog8ly483eZwViYYh+ZdCtYnn\nzswyUqj68iDwblCmyutBw/Pkc16TK+C3N7EYKHk7yHr9vOjALyKR5Ps0j/vjslKoNomeGEphG3rt\nGC7Lc8xaRgrfQw/09ss2vCaGPFcMea0AAb9tLwZK3j7znt9zr8lbEZF6qVSb5Ou3dWu1bemE1JIK\n3uKdMlLodPIcs5aRwjb0IPBuUKbK6w7H80mnJp/uPs9lud7fc4/fURGRein0cnsedl1GCsm96EmF\nFLah55i1jPr4MOI6ehD4KyRT5fWg4Tkx5PVEH/wPa8rve+L186LEkIhEksJQMs/HyjJSSe5FPuH2\nPJVEWal8D3MRP6ceBN4NylR53eF4HkrmNbkCvucY8tr74vXzkkLJvoikI4V9WgrDkKJvw+gVQyl0\nOnmOWctQYqg3BN4NylTlBw1vBw/PVyXwWgECftvu+SDr9T33/B0VEamXQsVQ9KRCKsOQIlcMpbAN\ni1cEjPg9rE8MRVxHD8p+hbYDlgI/yh7vBVwP3AdcB+xReO7pwP3ASmBuYfnh2KVX7wfOnXqTpdPy\nL+OmTdW2Y7KiVAx5O2h7r17J73viNTGUQq+eiKQjlWFIkRNDKWzD6Mm91IaSeTtPKEMVQ72h7G7w\nE8AKIN9Mp2GJoYOAG7LHAIcAJ2U/5wHnA/nX9ALgVGBOdpvXYtulQ/KDxvPPV9uOyfI+x5DXHb7X\nJIXny7d6TsYpMSQiUeTHEY/747J0VTL/VDHkn+fzhDKUGOoNZb5Cs4F3Ad9iNMlzHLAou78IOCG7\nfzywGNgMrAIeAI4AZgG7AUuy511ceI30mDwx9MIL1bZjsjwnhoolot52hl4TQ557Qb2+556r+kRE\n6qVQbeL5WFlGCkmFFCqGonc6Rf8eFpOX+WPpvjK7wXOATwPFTTQTGMruD2WPAfYFVheetxrYr8Hy\nwWy59CDvFUMeD+6eD9req1dAybhuSSF4E5F0pDDHkOdh12Wkktzz2vlYhqq+/FPFUG+Y6Cv0R8Dj\n2PxCzUL5GqNDzCQA74khjyedngOvCFcl8/ieezwRUWJIRCJJ4YTUc8dVGdqG/qVwYYtUtmHxsXTf\nRKdzb8GGjb0L2AnYHbgEqxLaB1iDDRN7PHv+ILB/4fWzsUqhwex+cflgs3+6YMGCF+/39/fT398/\n0XpIG3kfSubx4O55vhvvSQrw9557rdLynLyV1gwMDDAwMFB1M0TaKpVqkxROSKNvQ6+dj2WkkNzz\nHLOWoauS9YaJEkOfzW4ARwP/BzgZ+CJwCnB29vOq7DlXA5cCX8GGis3B5hWqAeux+YaWZH/jvGb/\ntJgYku5TxVD3eT5oe01SeH7PvSfjIgdv0lh9J8/ChQura4xIm6QylCz65NPRj0ueOx/LSKEaObXE\nUMR19GCyA0DyzXQWcDl2lbFVwInZ8hXZ8hXAFmB+4TXzgYuAGcA1wLVTbLN0mPeKIY8HBs8lol6T\nFJ4DJa/veQrBm4ikI5VqE6/xSRmpVJt47QgrI5XvYeRtqMRQb5hMYuh/shvAWuDYJs87M7vVux04\ndBL/TyrivWLI44HB86RyEeYY8viee0wMeU7eiojUS6ViKPIJaQpJBc8dYWXkn9HIsUUK21BDyaoX\neDcoU6WKoe4rXq7e287Qa5LCcy9ocfiepwBBFUMiEkkK1SaeK5rLSGUomdcYs4wUtqHnmLUMVQz1\nhsBfIZkqrxVDngM0z4GX5zmGvPa+eG17CsGbiKQjlYohr/FJGZ5jxzLyGMFrVXoZKVyVzGvcV5YS\nQ70h6G5QWqGKoe7zOpSsVvOdGPLag+a17aoYEpFIUkh2R598OvpQshSG6ERP7oHfuK+sFD6nHgT+\nCslUea0Y8pwY8loxlCexPB6MPfe+eB1r7vk7KiJSTxVD/kVP7hWHkeWPo0mhYshr3FeWKoZ6Q9Dd\noLTCe8WQx4O7154Azwdjr8k48JvUUsWQiEQSvdoE/MYnZUWvNkmhEqM+tvAUF5XlNe4rK4XPqQdB\nd4PSCs8VQ15POr32BHjuafN8kPXag+v58yIiUi+FfZrnTpQyoif3iom9/HE0qaxj5O+hKoZ6Q9Dd\noLRCFUPd57VHzvMlQj0fZD3PSeX18yIiUi/fF2somV/Rk3vFxF7+OJoU1tFzZ2YZ9cm9iOvoQdDd\noLQi/zJ6TQx5POksjgH3tDP03NPm+SDrvcLM43dURKRe9KQCKDHkXSrVNNHXsXieEHH9NJSsNwTd\nDUor8i+jty+l58SQ18DL84m+16ob0OdFRKQXpDb5dNSrknmtNi8jtWoaiL+OEdcvhc+pB0F3g9IK\n74khjwd3rz0BnnvavCZXwG9Sy3PyVkSknueq2bK8DnUvy3McU0Yq1TTRq008x6xlpJDc8yDoblBa\nke9wvPUMeT7p9Dw0SO9593ntOYoegItIWlKoGIo++XT041IKlRgpzE/jNe4rS0PJekPQ3aC0QhVD\n3ee1R85zb6nn3hevgbqGkolIJNGTCuD7WFmG59ixjBQqhlJIKnitFC9LFUO9IehuUFqhiqHu04l+\n93nuffHa9vxz7vHzIiJST1cl8y96ci+FiqHU1jHy9zAXcRt6EHQ3KK3wXjHk8aTTa09A3m6PAZXn\nYNf758Xjd1REpF70pALEn3w6+jZMpWIohXX02CFYVgpVXx4E3Q1KK7xXDHk8uHvtCfBcAeI1uQJ+\n50eKHoCLSFpS2Kd5HepelufYsYzUqmnyx9F47swsQxVDvSHoblBaoYqh7vMaeHkOij0fZL223fPQ\nQxGRevkJaeShZF47rsryHMeUkVo1Tf44Gs+dmWUoMdQbgu4GpRWqGOq+4uXqPe0MPQ8N8lp1A35L\nij0nb0VE6kVPKoDfjoiyom/DVC7lHv2qZJ5j1jJSSO55EHQ3KK3wWjEUJUnh6X2PclUybwdZrz1H\nqhgSkUhSuFx99MSQ507FMlJLmkDMz2n076EqhnpD0N2gtMJ7xZDHk07vQ8m8vudeD7JeE4nRe2ZF\nJC2eL8BQRn5y5jE+KSv6cSmVpEn05JfnzswyVDHUG4LuBqUVXiuGPPf6eC0R9RxQeT7Iem275+St\niEi96BVD9Sfc3joMy/Acx5SRWtIkfxyN587MMlL4nHoQdDcorfBcMeS5esVjj5znZJzX9xw0lExE\npBdETyqkUG3iOY4pI5VtGH0Ykte5SMvSULLeEHQ3KK1QxVD3eR8a5PFE32vVDfjtOfL8eRERqRf9\nqmQpVWJ4jB3LSKESI/qV11IY0plCAtODiXaDOwG3Ar8CVgBfyJbvBVwP3AdcB+xReM3pwP3ASmBu\nYfnhwLLsd+e22nDpHM8VQ16HqXivAPEYUHlNxoHfoYeeJysXqcD+wI3A3cBy4OPZcsVgPcLzMbAM\nJYb8S+GEO3q1SfT1gzTW0YOJdoMvAG8DXg+8Nrv/VuA0LCg5CLghewxwCHBS9nMecD6Qn6ZfAJwK\nzMlu89q1EtJe3iuGPCaGiiWint53z1eCi1Ix5Kntnj8vIhXYDHwS+F3gzcDfAq9GMVjPiJ5USCEx\n5LnavIwUKoaiJ79SSJqksI4elNkNbsx+7gBsBzwNHAcsypYvAk7I7h8PLMaCmVXAA8ARwCxgN2BJ\n9ryLC6+RHuO9Ysjjwd3r0CDPFSBe33PwOz+ShpKJTMoarGIb4FngHmA/FIP1jHxfHHkomSaf9i16\n0gTiJ7+iD5WDNJLQHpTZDU7DApMhRkuaZ2aPyX7OzO7vC6wuvHY1FsTULx/MlksPUsVQ93mdVM7z\nib7XqhvwO5TM8+dFpGIHAm/AhvcrBusRSir4F30bppBUiP45TWFybVUM9YbpJZ4zgg0lewnwn9hw\nsqJadpMgVDHUfV7nu8kDDo/vudd5ncBvUstz8lakQrsC3wc+AWyo+51isAqlcLn6yCfc4Dt2LENJ\nBf9S+B5G34ZelEkM5dYBP8EmMBwC9sHKnGcBj2fPGcQmS8zNxnqpBrP7xeWDzf7RggULXrzf399P\nf3//JJoprVLFUPd5HRqUBxxe33OPyTjwmxiK3jMrzQ0MDDAwMFB1MzzaHksKXQJclS3rWAym+Gty\nPA+nLiOlE1JtQ7+iV0WlkDRJ4XNapbIx2ESJob2BLcAzwAzg7cBC4GrgFODs7GcerFwNXAp8BStT\nnoONaa8B67Gx7kuAk4Hzmv3TYmAi3ee9YshjksL70CCPAZXX9xz8JhI1lCxd9UmGhQsXVtcYP/qA\nC7Grwn61sLxjMZjir8lRxZB/nuOYMopTFeSPo4leFRV9DiVII/lVpbIx2ESJoVnYxIbTstsl2BUw\nlgKXY1e4WAWcmD1/RbZ8BZZQms9oifN84CIswXQNcO0k1ke6yHvFkMeDu070u89zxZDXpJbn5K1I\nBY4C3g/chcVdYJejPwvFYD3B83DqMlKYfNpz7FhGKsm9yBVD0edQAiWGesVEiaFlwGENlq8Fjm3y\nmjOzW73bgUPLN02qooqh7vN6uXrPAZXX4Vjgt+2eE4kiFfg5zS8SohisB0SvGErphNRjHFNGChVD\n0ZMK0dcP0khgehB0NyitUMVQ9+lEv/s8Vwx5rzDz+B0VEakXfZ+WwsmatqF/0ROYKWzDFJJfHgTd\nDUorvFYM5SfLHpMUXiuGPAdUuipZ93merFxEpJ4mn/bPc6diGanMTxN5HaOvH8QfDuhF0N2gtCLf\n4Xj7Uno+uHu9XL3n4XuekyvgM6nlOXkrIlIv+lCyFBJDniufy4heTQPxP6cpbkNPsW0kDk+hpdO8\nVgx5T1J4PdH32lsaJRnnqe3RA3ARSYvnY2AZKfTi1x+XPMVgZaSwDVO4Klnk9YP429CLoIcyaYX3\nOYY8nnR6TVJ4PtH3WjHkuaQ4+rALEUlLvj+OWjFUf7LmrcOwjPrJmT3FYGWkcMIdPfmVQmIoetWX\nFwrPZRueK4a8nnR6nkzY6/A9r5NPew7yNJRMRCJJoWIo+sla9HWMnjQB33FRGdE/o5BG8suDoIcy\naYUqhrqveFDztDP0PJmw54ohrwGC5wozEZF6mmPIv+jrGD1pAmlsQ6+V4mUpMdQblBiSbXiuGPJc\nveK1Yshrb6n39zzn6eCpxJCIROK5UrmM6CfcEH8oWQoVQ56H2JeRwvcwhXX0IOihTFqhiqHu8365\neo/vueeKIa8BkOfkrYhIvRQqhlJIKkQ+IU2hYij6Vbs8dwiWlcI6eqDwXMao1Ua/jF4rhpSk6B7P\nJ/peJ/z2HOR5TiSKiNTzXDVbRgqTT0dPDKWS3PPaYVZGCkmTFNbRg6CHMpmq4hfRWwDgPUmhiqHu\n8pqM8xzEev68iIjUi35VMs/Hm7KiDyXz3JlUVvTPaSrJvcjb0AuHp9DSSV6v1AS+K4a8Vq947i31\nnBjy2jPmebJyEZF6no+BZaRwshZ9HVNIKkRPfkVfP1DFUK8IeiiTqSp+MVUx1D3FA7ennaHnZJwm\nn+6+/D33+B0VEamnxJB/0dcxlaRC5ORX9M8o+I5tIwl6KJOpUsVQNbxXDHlManmtGPI8yaKGkolI\nJPn+OPJQssgn3BB/KFkK2zB6UiH6+kEan1MPlBiSMSJUDHk86fReveI9MeTxPc95es81lExEIkmt\nYshbXFhG9GoMz51JZUVfxxSSJp5j20iCHspkqryeLIPvoWTFHitPO8MI893k973w/J7nbVdiSEQi\niH65+ugn3BA/MeQ5Zigr+jqmMhww8vfQC4en0NJJqhiqhteEnOegUe9592komYhEEn3etBRO1qIP\nJfMcM5QVfR1TqKZJYR09CHook6nyerIMvgM075erz3nakXudY8jze54Hbx6/oyIi9aJXDKWQGIq+\njtGraSD+Okb/jEIaVVEeKDyXMVQxVI0ow5o8Haw8z+vkNQDSUDIRiSSFOYa8HuPLin7SHb2aBuJv\nQ89xX1nRt6EXQQ9lMlWeK4a8JobyHbzHJIXnDH+UiiFPnxcNJRORSFK4KpnX401Z0YeSpZBU8ByL\nlpFici/aNvRCiSEZw3vFkMeeO89Bieeg0WtiyHMApMSQiETi+cqcZdQfb7zFhWV4jmPKSCWp4DWO\nLiOFpEkK6+iBs1No6TTPX0yvFUOee3O8f148VsdFeM+9JW9FRBqJfjn36EkTiL+OnmPMsjzHRWVE\n/4xCGuvoQZnwfH/gRuBuYDnw8Wz5XsD1wH3AdcAehdecDtwPrATmFpYfDizLfnduKw2Xzih+MadN\n8xXkeL1cveeKIc9t91ox5LlnTHMMiUgknvfHZaRwsuY5jikjhYqh6OsYPfEFaayjB2VOoTcDnwR+\nF3gz8LfAq4HTsMTQQcAN2WOAQ4CTsp/zgPOBfJd7AXAqMCe7zWvHSkj7FL+Y223na+fquWLI6wHN\n847c63xaGkomItIbUqgYipw0Ad8xWBnR1w/iV0XVJy+jrR/4Pp+IpExiaA3wq+z+s8A9wH7AccCi\nbPki4ITs/vHAYiyhtAp4ADgCmAXsBizJnndx4TXSIyJUDHk76fS8w/cccBQDCc/vuae250ktb99R\nEZFGUqtUiLZ+EH8dPceYZUXfhtHXD9JYRw8mO+jmQOANwK3ATGAoWz6UPQbYF1hdeM1qLJFUv3ww\nWy49JELFkLehZJ53hp4DDq8VQ54TQ3kyztt3VESkEc/H7zJSmHw6+lCy6J9R8F1JXYbnuK+sFNbR\ng8mE57sC3wc+AWyo+10tu4lzqhjqPs9BieeAQ3MMdZ+GkolIJCkMJfN6jC8r+jp67sAry3NcVEb0\nzyjEHw7oxfSSz9seSwpdAlyVLRsC9sGGms0CHs+WD2ITVudmY5VCg9n94vLBRv9swYIFL97v7++n\nv7+/ZDOlVaoY6j7PPR2eM/xer0rm+fOioWTpGhgYYGBgoOpmiLSVTkj9i76O0dcPfMeiZaSQNEnh\nc+pBmcRQH3AhsAL4amH51cApwNnZz6sKyy8FvoINFZuDzStUA9Zj8w0tAU4Gzmv0D4uJIemu4kmn\nKoa6w3Ng6b3tXiuGvAZAuipZuuo7eRYuXFhdY0TaJIWKIa/H+LI8V22XkULFUArb0GvcV5bn2DaS\nMomho4D3A3cBS7NlpwNnAZdjVxlbBZyY/W5FtnwFsAWYz+gws/nARcAM4Brg2hbbL20WoWLI20mn\n58krPR+sPCeGvAZA+XvuraqvHf7jP+Dhh+FTn6q6JSLSLtF7uaOvH8Rfx+jrB/GTCtqG0i1lEkM/\np/lcRMc2WX5mdqt3O3Boif8pFYkwx5C3k07PJaKeD1bF991bu70ePFMeSrZqFfzmN1W3QkTaKfrk\nzJ47rsryHMeU4TnGLCv659Rz3FdW9G3ohbNTaOk0VQx1n+cSWM8HK68VQxGqtLx9R9theNhuIhJH\nCkmFyIkv8B2DlZHCCXf05JfnSvGyPJ9PRKLEkIyhiqHu87wz9BxQRblcvbe2e0zetoMSQyLxRE+c\neD7elBV9HVNMKkRbR88dgmVF34ZeODuFlk7zXDHk9aQzSnIFfB2sigdaT+323DOWcsXQ5s12E5E4\nop90R18/iH9CmkJSIfo6Rv+Mgu/ziUiUGJIxIlQMeTvp9LzDj9J2T+32HADlbfdW1dcOqhgSicfz\nMbCM6OsHvjvnykgluRd5HVNImqSwjh4kGJ7LeDxXDHkdSub5UqKe2+51jiHPgbrXqr52UGJIJJ7o\nQ8lSmZ8m8jp67kwqK3pSIfr6QfzvoRfOTqGl07xXDHkcpuI58PK8I9dVybov5aFkSgyJxOP5+F1G\n9MQX+I5jyoheTQPxv4fRq9rAd2wbiRJDMoYqhrrP80Hb847cc8WQ1yotr8nbdhge1hxDItFET5xE\nT5pA/JPuVCqGvMZFZXiOtctKYR09cHYKLZ3mvWLI4zAVz8OxPAdUXhNDnoO8PHjzlrxth82bVTEk\nU/JtYAhYVli2F3A9cB9wHbBH4XenA/cDK4G5heWHZ3/jfuDcDrY3KdETJ547rsrSNvQvhW0Yef0g\njXX0IMHwXMYToWLIW2LI887Qc4a/mGDx/J57bLu372g7aCiZTNF3gHl1y07DEkMHATdkjwEOAU7K\nfs4Dzgfyb9sFwKnAnOxW/zdlCupPuj11ppXh+XhTVvR19NyZVJbnDtYyPMfaZUWv+vJCiSEZI0LF\nkLdqhChVN/ljL7xWDHk+eKY+lEyJIZmCnwFP1y07DliU3V8EnJDdPx5YDGwGVgEPAEcAs4DdgCXZ\n8y4uvEZa4PkYWEb0uVvAdwxWhiqG/Iue+II0kl8eODuFlk4rHkBUMdQdnneGUdru6XPu/T33+B1t\nB80xJG00ExteRvZzZnZ/X2B14Xmrgf0aLB/MlkuLUptjKNr6QRpJBa8xQ1nR1zH6ZxTSWEcPplfd\nAOkt9UPJPAUBqhjqPs9tLyZBPQURnntw8/2Lt+9oO2iOIemQWnZriwULFrx4v7+/n/7+/nb96ZA8\n74/LSOFkLfo6plIxFHkdPXcIlpXCOlZpYGCAgYGBCZ+nxJCMUT+UzNPO1WvFkOfA0vOOXBVD3aeh\nZFW3QoIYAvYB1mDDxB7Plg8C+xeeNxurFBrM7heXDzb6w8XEkExMSQX/PHdwleE5xizLc1xURvT9\nDMSv+qpafUfPwoULGz4vwX5bGU+EiiFvJ52e54zxfLDSHEPdFz14G48SQ9JGVwOnZPdPAa4qLH8v\nsDZdZUQAACAASURBVAPwCmyS6SVYAmk9Nt9QH3By4TXSguhDrTwf48uKvo6eY4ayoie/UtiG0b+H\nXqhiSMaIUDHkbZiK5wOa5wnxvF6VzPPnpVHv83bbVdeebtIcQzJFi4Gjgb2BR4DPA2cBl2NXGVsF\nnJg9d0W2fAWwBZjP6DCz+cBFwAzgGuDabjQ+uugVNZ6PN2VFPyFNZRt6jUXLSGUbptpx2EuUGJIx\nVDHUfZ4DS88BleeKIa8HT89tb5UqhmSK3tdk+bFNlp+Z3erdDhzalhbJi1Qx5F/0oWTRkyYQ/3Oa\nQuwUfRt64ay2QjpNFUPd57nqxvPByuvk057f85THkGvyaZF4ovfkR098QfwT0uifUYgfW3iO+8pK\nYR09cHYKLZ3muWKo/lLYXnYqnoMSzz1tnief9vyee02CtkoVQyLxRE+ceD7elOU5BisjheNu9M9p\n9PUDJYZ6hRJDMkaEiqHiYw+iJFfAz3sOfoeSee4Zix6Aj2d42LZVtBNHkZRF36dFXz/wHYOVkULF\nkOdYtAzPcV9ZKexrPFBiSMbwXDHkNTHk+YDmeUfuuWLI6+clheCmmbxaSFVDInFErxhKMakQbR1T\nqBiKntyL/hkF37FtJEoMyRjeK4Y87lQ8H9A8BxzFz4undnsuKfb8eWlVfkUyJYZE4vC8Py4jxRPS\naOuYYnIvWmwRff0gjXX0QIkhGSNSxZCXg5/ng7bntqtiqPs8t71Vw8Ow005KDElaRkZ8xRGTFT2p\nEL0iCvzGjmVF/4yC71i0jBS2YfQkuxdlEkPfBoaAZYVlewHXA/cB1wF7FH53OnA/sBKYW1h+ePY3\n7gfOnXqTpZO8Vwx5rEbwXEXh+UTf61XJvFbGQfzgbTzDw7DLLqOVQyIpuPBC+Oxnq25F59Tv06Il\nTlI4WYt+0u01Np4Mz3F0GalsQ6+xbSRlEkPfAebVLTsNSwwdBNyQPQY4BDgp+zkPOB/IP8oXAKcC\nc7Jb/d+UHlAMclQx1B1e2w2+AypVDHWf57a3olazhNDOO6tiSNKyZg08/njVregcz8fA3MqVcNxx\njX8XYf0mEn0d69cP4h17U9uG0bYfpLGOHpRJDP0MeLpu2XHAouz+IuCE7P7xwGJgM7AKeAA4ApgF\n7AYsyZ53ceE10kNUMdR9ng9oXt9z8HtVMs89uNF79ZrZvBmmT9dQMknP+vXw7LNVt6JzIgy1Ou00\nuOmmxr9Locoz+jrWx2l9ffGOvZ4rqctQck+6ZapzDM3EhpeR/ZyZ3d8XWF143mpgvwbLB7Pl0mMi\nzTHkZafptd3ge0fuNTHkOQBKtUdo82bYYQfYfnslhiQtGzbYLaJazXfFL8Att8CSJfDcc41/7/kY\nX5bnzpYy6rdhX1/MdUxtG0aLnzzHtpG0Y/LpWnaTACJVDHlpu+fAy3PbiwchT+32nFxJ9cA/PGyJ\noR120BxDkpbIFUP5/qsYd3jqTAO49Vb44z+2fdSWLdv+PkJF1HgabUNP8UAZ9UmTadPiHXs9x0Vl\n1J/feDs/KyP6NvRi+hRfNwTsA6zBhonlI8gHgf0Lz5uNVQoNZveLyweb/fEFCxa8eL+/v5/+/v4p\nNlMmSxVD3ec1oQV+33PwWzHkuWfMc9tbMTxs1UI77JBuxdDAwAADAwNVN0O6bMOGuImhRsM7vO3T\nnnsOdt3VJsZ/7jl4yUvG/j76Pru+swLir2PEiqHowwFTqBjy3NEcyVQTQ1cDpwBnZz+vKiy/FPgK\nNlRsDjavUA1Yj803tAQ4GTiv2R8vJoaku1Qx1H2eqyg878iLAa+3dkf5vHhqeyuKFUOpJobqO3kW\nLlxYXWOka6JXDNUnFTx1poElg3bZxZJDzRJD228/9rFHZ50Fhx8Ob3/72OX1ia98WSTRK4YaDemM\ntH6wbewUbRtCuvFhrykzlGwxcBPwKuAR4C+Bs4C3Y5erPyZ7DLACuDz7+VNgPqPDzOYD38IuV/8A\ncG1b1kDaShVD3ee5R87zjtxrxZDnRKLntrdCcwxJqspUDG3a1HyOm14WpWJol13s1mg7RanE+OEP\n4bbbtl0eYRtOJHrFUKPhgNFii1TmiYqwr+mEO++Ev/7r7vyvMhVD72uy/Ngmy8/MbvVuBw4t0yip\nTqSKIS8HBq+VTuC77VEuV++t7R6/o63SHEOSqvXrJ558+ktfgqefhi9/uTttapcISYVixVCjxJDn\n402uVoPly+FNb2r8O+/bcCKNKoYirWN9HAqx1g+23YYpDCWLtn6tWLascWK7E9ox+bQEEqliyMuB\nwfPOMErbvbXba3IlwknGVGiOIUnVhg2wceP4scSNN8LQUPPf96pGw5A8xUyw7VCyehH22Q89ZEmv\nxx7b9ncpDCVrVDHkKW6YSAqXcq/fhtGSe+D7fKLTVq+2zpNuUGJIxlDFUPd5TWiB36CxvvTYS7vB\n98Ez1aFkmmNIUrV+PUyfbsmhRoaH4eabYe3a7rarHSJVDDUbSlafOPGW+ALrbd9tt+aJIe/bcCIp\nVAylsA0jJ/fA7/lENwwOdu8YqcSQjOG5YsjrXD2ed4ZekxR5Mi7/vHhpN/ie88Hr56VVeWJIcwxJ\nSjZvttteezWfZ+iOO+w53eoNbadGSQVPMRNsO5Ts/PPh+98f/b3n+CS3fDn09zdODKWQVGhUbRLp\n2Nuo6ivS+kHjyaejfU5TjQ/LWL3a9s/dmIpAiSEZQxVD3ee13dA71U4f/Sg880z550cajuWt7V7f\n91bkk09rjiFJyYYNsPvuVq3RLDH0s5/ZSbvHiqEISYX6oWS//KUlUnKeOyJyy5bB3LmwZs22v0th\nKFmj+WkirWMqVV+RK4ZSuLJcK1avtp/d6EBRYkjG8Fwx5HWYiuceuV5IUtRqcOGFcPfd5V/j/T33\nevCMcJIxFRpKJilav94SQ80mNga46SZ497tVMVSVjRvHVgytXQvr1o3+3vOxMrdsGRx5pB1/6idC\nTyGpEL1iqFGCNtL6wbZJk4jbEHqjo7kXrV5t++j8OHn99XDeeZ35X0oMyRiRKoa8tN1ru6E3gsZn\nnoEXXoBf/7r8a3ohoTVVXhOg4Pt9b0U++bSGkklKNmywaqHddmt+ZbI1a+C1r7WA19v+IEJSoX6O\nobVrLaGX64VjfCvuuQeeeAIOPRRmzdp2OFmEqq+JpFAxlELVV+TL1acwgfhUbd4MTz0FBx88mhi6\n/Xabm68TlBiSMbxXDHmspPB8ot8L7/mjj9rPVhJDng6w3tte9eelCqoYkhSVqRhatw5+67dgxx2b\nP6dXRbwqWaOKIc+TT//rv8IHP2j73kaJoRSSCtErhlJIKkQfSpbCNpyqxx6Dl73MjpP5kOunnhq7\nn24nJYZ62JYt8LnPwR/+Yff+pyqGus/rpNnQG0mKwUH7+eCD5V/jORnnObmSasWQ5hiSFOUVQ+Ml\nhp55BvbYwyao9jbPUKSKoXwbPfVUnIqh9evh0kvhb/7GHu+zz7bzDEXYhhOJXjGUStVX5MmnU9iG\nU7V6NcyeDXvuOVoxpMRQom6+Ga64wsYSbtrUnf+piqHuqyKh9cIL7fk7vXCi/+ijcMAB6VYMefmc\ng++EHNg8Vp/5zORfp4ohSVGZiqFiYsjbPEPeT2ZqtcZDyYonHI322V7227fcAq97Hey3nz1OdShZ\nChVD0a9KVn+eoIqhdBQTQ3nnyZNPKjGUpKVL4ZhjYN99R2ck77RIFUNedirdPtFftw5+53dgYKD1\nv9VqUuvNb4aHH26tDYOD8Pu/P/nEkMfPCviewNlzdRzAz38ON944+dfpcvWSovXrx68YGh62Crqd\ndx4b9HrhffLpTZtg+nS77borDA3Z9hivYsjTCeny5Ta3UC7VoWTRK4ZSqfqKntxTYqixwUFLDBU7\nT+orO9tJiaE2WLoUrrxy7LLhYTj33Nb/7utfb9UQDz3U2t8qK1LFkJcDQ7fb/fnPWy/t//5v63+r\nlaTW1q1w2212st2KRx+F3/s9O6nYuLHca1Qx1D4rV44mrrduHb+6sdfaPlkrV06tlyaffFoVQ5KS\n/HL1u+7aePLpdevgJS+x45/HiiHvJ6R5tRDYNnr4YYv7xrsqmacOw7vvhte8ZvRxs8SQ521YRqOK\noUjrWB9D58siSXHy6Ujr14oHHoADDxzbeaKhZD1u8WK7FT38MHzyk3bgnaqlS+ENb+h+YijfwXo7\neESpGOr0e/4f/wH//M/tmdG+lbYPDVkiodV2PPqoZdMPPLB81VAvJyiuvtrmRGiWYOm1aqcFC+Bf\n/sXuf/Ob8Jd/2fy53oeS3XPP1BNDmmNIUpNXDO22W+OKoTwxBKoYasW119rw8KEhizu/9KVyx+Ji\nYmiXXSxu3X//bSuG6i+TXXWH4eBguWP98uVjE0ONYoQUhpI12obejr3jSSGp4LlyrwxVDDV3yy1w\nxBHbVgxt2NCZz7kSQ21w223bTmiXX3r1zjun9jeHh+Hee60M9uUvb324TVmdqBiq1Wwi7U6LUjHU\nyZ3hxo0WfJ90ku1sWn2PWkmwDA5aFUWriaHBQRtuecghsGJFudf0UmLo3nvh/e+3+088AX/+57ZP\nueSSxs/vtWqnO++E666z+zfeCD/5SfPkRy+971OxcqVV201WcfJpVQxJKooVQ40SQ/n8QuB38ule\nGIb0kY9Y5e1//zf87Gfwta/Z5YwnUl8x9PTT1hG5ceNo7NeLFUPnn2/Jr/GMjFg88Lu/O7rsVa+y\n423983phG7bi3nttLtJm6pNf0apNGiX3vMUWE2mU3PO2DT/zmeYdaykk96bi2Wct7jzssNHOk5ER\n21fvtFPjStxWKTHUopEROwA3SgwB3HHH1P7u7bfDK18JM2ZUN5SsXTueSy6BE09s/e9MpNsVQ5df\nDh/+cOt/p5tzxvz619Zrtu++FpDXB0nFNpQJ0ltJxg0OwtFHWxVG2SFgzf7OfvtZz+Dy5eVe00vz\n9Nx6K3zve7BqlW2fV70Kvvxl+OIXGydme6nq5vnnrd1DQzac7Be/sOqAH/8Yli3b9vme5xh67rnR\nKrfJXgxAcwxJiiaaY6hYMRRlKFm3q2lGRqxqduVKu73rXfAnfwI//enEr61PDAHsvffYoX+9OAzp\nwQcn7ix9+GH7bOWJR7Crkg0PW297LsIJ6aWXWqVYMylUDHlP7k2kUXLP2zb82teanxOrYqixX/7S\nJtDfccfRY+Qzz9hxda+9OjOcTImhFt1/vwX8jRJDfX3lem0a+dd/hVNOsfveK4Zuugmuuqrzya1u\nJ4YGBuCaa1r/P506WX7sMfjEJ8Yue/BBSzgCvPOdlpBo5F/+BY4/fuL/UaYC5NlnrSez3uCgTYJ9\n8MGNkwhl/Pd/W/J0somhXqpcufdeSxhcdhn85jfwilfAH/yBBbAPPrjt83up7cuXw0EHwbHHwnnn\nWVv++q/hT/8U3ve+bZ/fS0mtybrvPpgzx042Jnswfu45693ZYYfuXWFSpGqTqRjyOJSsF4YhPfmk\nHSvuuccSQwcfbMf2qSaG9tpr7D6u/niz3XbtW8cbbrB5gCbrwQfhkUfGf87y5WOrhcDirPqqoV7Y\nhq268057H5vFUdErhqIkFVavhle/uvHverFybzI2bLD9zT33NP59lG04kf/8Tzun7+8v9/ybboK3\nvMXu58fIp56Cl750arFoGUoMtei226zqYWRkbOCzdq3NDzSViqGHHrIx4x/6kD32XjG0dCkcfjj8\n27+1/rfG0+2hZLfdZjvyVrdNuxNaw8MWIH7963ayXpxssZgY+vSn4YILtg3Gn38ezjnHkprPPz/+\n/yozrOnKK+HP/mz0d08+aRnwe++1hM5BB9lJ92TVavCP/2hz3Gy33eQTQ71SuXLvvXDqqVaBtmqV\nJYb6+mx9Gg2N66W233mnTZD/d38H3/gGHHWUzY905ZX2vagfdtVLSa2yrrwSvvAFO0C/7nVTOxiv\nWmX7cY/DZUSmat26iRNDqhhqzeCg/cwrhg4+2K7SuWLF2MqYRurnGALbDrvvPjrPUCdPSE87DS6+\nuNxzn3/eqqG2brXJWCfqLL31Vnjta7ddXp8YilBtctddcMIJ2851moteMRQhuQd2QZiVK+Hxx7f9\nnfc5hvLiifESQ96/h2X88pfw7nfbVB4TnV/B2MRQfoxUYqjH/epXNvZv5kwbZpB7+mnr9V+5cvKB\nwhVXWI97HjAdcICdTLz85c13/LmbbrIqlqlqZ8XQ9ddbgmv5chsW8/3vT/1vldHNiqHhYeuheec7\nLbg59dSp/62yc8aMjMDHPjZxEmXBAguIzjvP5qgqXl67mBh6xSvgL/4C/uiPLFkDtpM55RR405us\nt+2228b/X2Xe8xtvtO9GPt/Wt79tgczll9uk0XPmWOVd0T33bDtJ5NDQ2IDuzjstKM4rU+bMsV7E\nMjvbXkpQ3HsvfOAD9vOuu2yoH1jPUaODaC9V3dx8syVLjjgCliyBf/onK9c//ni7Ulz9/FG9NnF2\nGT/9KZx5ppVBn3KKVThM9mCcf+/qjxMikeXzv413VTLPFUO9MAxpcNCO1XffbcfRgw6yYQdvf7td\nDGA841UMFRNDnZjb5OGHLb5YutSOAz/84fjPv+MO2xf/4hf2/7dsab4fHh6GCy+0+KZeo8RQ1duw\nFevXWyLhc5+zC4s0kkLFUISrkuVX6G3Uwek9uffYY9bm1CuGHnnE9tcvf/nERQW1miWS3vhGe5wf\nI5980hJDxQR+O7lLDP3wh/Dv/151K0YtX24n3/vsM3Y42dNP26UxX/rSbYeZTeQnP7GT9dyMGTYp\n7b//u40jvuuu5q8955zWKnPaVTG0aZMNKXnf++x9OPpoy3KuWrXtc2s1Kym+7DI72D/xxNT+b6cq\nKdat23YHtWyZnei94x3wgx/Ytmk2RGTTJlvvZju5spVOZ59twc5Xv9q8rffcA9/6lg3d++hHreqs\nOIyrmBgCm8vmLW+B446zhMr73meft8WL4a1vtSBsPGWSWgMDNtTo2mvt91//uiUOhoasYqhRYujD\nH7ZqoNzPfmYB3VveMvr5X7QITj7ZEphgw7HmzLHx9hMdUNoxgfOWLZb4nYrzzrMxwh/6kPV+vuY1\nVnnzox9Zwg6aT6bdK0mtn/7Utumf/Zk9ftWrxpZBH3WUXWHthz+0feCb32wBe6/M7VTWsmXwspfZ\n9/iYY6bWS1NMDDXqDZysLVtam5dLpBseesg6tppdlSzC5NOdSCqMjJS/euHgoO1bN2wYnR8I7Nh+\nzjnjV61v3DiaGNpxRzuW5icczYaSteuqZD/4gcVPS5da3HLCCeOfKN16q/387ndtX/rylzcfTnbF\nFVY5deih2/4u2lCyZcvsRPOwwyymavQdarQNI510e0/u5X7+c+tQa5QY8p7ce+wxW7dmF4hJKTG0\n//4W5090ZcU1a+x9mT3bHu+0E+y8s30+VDGU2bjRrr7w9a9X3ZJR+eUwGyWG9tyzXFawaN06yxAe\nc8zY5dOmwZFH2qWgv/vdbV93xRV2UnntteMnjiZS3PlMtWJo82brvTj0UKtcef3r7W++4x12JYkv\nfnH0uQMDVp3yyU9a5c1PfmKVVhP1dDVre7urEZ580k5269/zm2+2LO5f/IVdkengg227NXLUUdaL\n97//2/j3ZU70R0bsvbvuOkugNcsSf/ObllR517vskvTHHGOVOcceayfl998/NjE0bZptjwMOsM/w\n2rWWWNp5Z0sMDQw0fWtKtX3VKvvefvKTNrb2vvvsOZ/9rP0+H0pWTAwtX26B4jXXjCbbfvxj+xvn\nnGPJoOFhSwDV9wh+4xtW3TFRdVo7kitXXmkloZP12GNWWZPPUbX33hacv/nNdvJUTAw16l2ZStVN\nrWafg+eem3x7G9myBebPt2EA++zT+DlHHWXb4+ST7bm33Wb7hl5IapU1MmI98VdcYZVu06ZN/mC8\nYYNt11mzLME0NNT6el90kSXeRXrVunW2n9hzT0v+5FWp9c/JK6MPPNASqGUTIr2gUaXCRDHTo4/a\n/v8LX2j+nEWLbP69W26ZuA2rV9uJw8EH2y13wAF2LDzttOavLVYM9fXZ/fqKoU5MPv3MM3bs+OhH\n7f9eeKEtbzQXYe6WW6xj6PLLJ04MfeMbVl3diIehZCMjFnOWacedd1rV7rRpFmsvXbrtc+pj476+\n7g957KQIVyV7+mmLl08+uXnFkOehZI89Zud669c3jp86mdzburX1qx9PVrOrhT3yiO27fvu3bU7R\n8fzqV/adLn535861fcPeeysxBFjFxGtfayfgvTCB5zPPjF7ec7zEUJmJozduhL/6Kzt5eNvbRg/W\n9d7/fqvmyL8wn/uc9ch/4hPwnvdYz8Fjj039EnatVgzlQ0vuvtvmr/nGN+wShWDDri680BIWTzxh\nO7/3vAc+9Sn7Anz603DGGfZl+da3Jt/2diWGhoftkuFPPmnBxT77bJsYuuQSG+63555WDXX00Y0T\nP+vWWVXJX/2VrWOZdjd6z++5x/7XW98Kf/iHNlys3tatljT68z8fXfbqV1v10FNP2cnkc89ZIqZo\n2jRLstx9twVm229vy9/xDjuZHy+rPVHbBwZskrW3vtX+1u23247u8MMtyHv5y63KJ08YgSV+P/IR\n+yzngeL//I+9xyefbCcbH/qQJR7nzBn7/4480r4Tl10Gf/u3FoA3a3erlSs//rFV++QVION951au\nHJ0/4+yzbUjS4Yfb/SOP/P/bO+/wqKqtjb8DhCa9GaQj0otBRIoiWOhVFLiANOniRwcRJeFiQ1Hg\nCnpFEAEFBEWuiIBUAQu9BBAMXQKhhU4SILO+P945OWdmzkwSICRk1u958mTmzJkzu6797rUbr9eq\nxf8lSvB/+fL8nmfYbme205AhQIcOTJe7wbx5DOezz/q+p1Ej5uv773N0+LPPeD2xOrp7t/vyR18Y\nSwpSkqNH2akNCWH5A5LfGB86RBHgcHA03+Gwnz2RHLZv59I9RUmrHD9OG+Fw8P/ly9573njOGCpZ\n0r5jm1a5nc7MwIFsaydM8K0Nf/+dy3NbtDCXYPvCOJWzfHk6Pax06sQ219fvWB1DAO2TscdQcjaf\nvnyZ+uP8ed8HWgC0e+PHU5c8/jjbiJAQ6sTGjTlz3BebNgGDBjFcZcpw1N0uXhcv0j42bmz/nLJl\naddjY+3jZ1xLTT77jFrHOsgbG8vBiQED3LXmrl3mXkrVq9vPEPOMY6FCyV/JkJZJi8695LJ+PR0n\njz6aNMfQ/bb59KlTXFZcvrzvAc+UcO7FxvJU7Lp17Qcn7hbTpnFiA8AB9tKludLBk+PHabtKl058\nxpCxh6eV5s3ZfuiMIdD5MW0aHQvlytnPzriXHvDRozliW6kSC/OdOIYuXmQHKy6Os4v8zXaoVInP\n/f13jnp8+inQvj1nF0yaxIazYsWkb8LrSUwMkCkTXyd3xtCFC0CbNnRa/PwzC3/58ub6yPbt2dFt\n1oyzLf79bzqNOnRgGrZty4Zw8GA6joy9kkS4X1FS9ru5G8tUJk1ix3fKFHO5zKZNvBYVxbSNjKTn\n1qBePTovPNmxg46yatV850lSOvobNnBDSSN8CxcCb75Jo7BhAx2GrVubhtfA4eCsobZtOXLYsqW5\n9MqKw8FRx+zZzWs5crCM+1u65hn2W7fcP1+7lo7OXLko+ufMoaHLmJEde0OIBgXRwXL1Kp1UvXpR\nGI0bx3IVHk6h7HBw9smsWYy/Ha1acXbSt99ScNo5GZI66+bECe89i86cYdiXLWN9/OMP3lekCIX2\np59ypNYQngAdQaNG0Xk0e7Z5WlynTubS2Lp1OdU2Wza+z52bdd1zVCG5ewxFRFCsf/HF7TmGPJ+/\ncqXpxPVHhgwU8L178zs9ezLumTP7D/vkycxjf/Fat47OxpkzkxaHmJjbOwjAmBFqJbmN8eHD7rP0\nChW6/eVk4eG0Kbt30+F0J6IgIkKdS0rKcewY9Q/gezaDdcYQQOerXTua2sTE2LfLdjMV/Gmmbduo\n3WbO5KxeX/tBbtvGAbNJkzh45m/QITKSbXe3btRSVrJlY6fI1wbPno6hfPm43NVzjyF/HVIRDv40\nbMjBvx493Ns+K++9x1nPy5ZxACgoiI6h2FjgnXc4EGRn90+dojZo3ZrhNWYM2Wnr1avZNhjtqCdZ\ns1IjGWUxLS0lmzaNA0VhYewTbNjAetSrFzuSixYxrYxZ9yLUp/Xq8b0vx5DnAF61ar4HKu9HkuNU\n2L8/7c20iY2lPuzVy9wvzDOM6WHGUOHC7J/u3Enb07ev2WdIqVlfU6bwtxo1og69eTN5E0sOHPAd\njgsXWGcjIrgKondv+gaGD2eb4dmWXb5szqL1tZQsKsrscxgzhqw0acK8D3jH0MiRHPFeuJCdLzvx\ncOwYGzW7ZVZ3m4sX2flbudLsNHg6hqKjGZ4SJXw7hoyZPT17MvO//hooWNCcseGLNm3oKHv3XTpR\nPv2UDW7fvhQGVauyI/jNN/YFWoQNs52AWbfOnMGQmEf6p584I2DBAgqcHj0YtnbtvL33AJ0BJUsy\njCNHslPSr5/5eXAwMGIE08NYEpUrFx1VAwbQsXT5su+RjuTMGIqJ4WwPTy5f5ojWxx9TqLRowY5c\n377sCL//Pp2T3bq5O1jq16eDwHOpzvbtbKyrVPF/lGhi4d64kWIHoEFYu5aNx8CBnBlTrhzTx1fH\nv2VLGrHWrX2liD0DB9Ihtnu3/aa5no3Vd9+5x2PtWvNYxpo1KQqrVfN+TkgI03TwYIqcYsXYSBYq\nRMdiSIgp9Lp04bI6YwaHJ/nzM60GDGCjMGgQwzlrFsuXXbjt0jw2lmEZP968duIEHTitWrGRa9eO\n+b5iBevyjBkUdT/+yN8DKNwPHKADaNgwOsqMDhNg5v1DD3k7vOvX955en5xlcKdPc/ndK69w/6gt\nW5K3+fGhQ6yzv/5KMf3TT+bMowYNkvaMTJm4lNHhoLMvKZuVnzvHcm11/h0/znoZG8v6OGaMcl3c\nZwAAHxtJREFU6RxNjKFDadcMh1xixMXROdW7t3fDfDszhqyOoTvZgHrKFO69FR7OOn8n4v7zzylg\ngPtLYCr3B8aMIQO7Tqt1xhBAe+tryXVqMWIEdZl1CbxBcmabjBvHQbGxYzkA06yZOcJsJS6Ondeq\nVTlwUKsWv+sLY8bQ88+zbfKkRw+2S3ZL9DwdQ+vW0c57zhjyt/n0jh3UFnXrMv+qVfPtcF66lPG3\n2tSaNTnoFRLCQQO7PUhWrKD9DgoCXniBs22LF6cDrV49dy23fLnv2UIGxmEJdvEzrt0NrBpbJHE7\nO3Mm2+lVq6hzNmwA3n6bz1mzhu3vxx/z+qVLXF73wAPmXkrVqzNNPPEsp9WqJT4T7X7CU0MD3nko\nwsHoChUSH2S+l9y4Qa1TqRL1ZP78zFPPLUg843g/zhgqXJj68b//5aqQzz9nnwBImZl7IvydMWPY\nl1u+nPawT5+kfX/3bpYXY1NwTxYupE6sVYsac9MmxnP1au4j6vk9Y38hh8N+KZnTSV1dty7zf+dO\n7/5SgQL83HDgp4RjKDVoDGA/gAgAI20+FyvXronkySMSGWleW71apGpVEafTvPbNNyK1aonkzSvy\nzz+SLDZuFGnfPun3f/SRyL/+JbJ0qcivv/La77+LPPKISHw83xcvLnLkiMjixSItWtg/p3Zt3leq\nlMj160n//W3bRAoUEAkOFrl40fvzyZNFcuYUKV9e5OWXRS5dEpk+XeTRR0VGjRJ54QWRDBlEvvrK\n/XuHDokUKuSKAyA//8w0tWP5coahUCGRJk1EnnlGZORI/lZi3Lgh8sMPzFt/xMUxfjdv8n2jRszf\nxx/3vvfKFZGgIEs6ArJ1q+9nDxsmki+fyIkTfH/zJvPqs89E2rblb+fLx3gaHDjANC9YkGnlyXPP\nMV5WOnYUmTlTJDpaJEcOs3yIiJw6xTyoXFlk3Dgz3CEh7s+IjhZ58EH+vpVLl5gHVaq41wU7nE6R\nsDCRmBj/99kxfbpI5swiWbKIREW5f1a/vsjatWbYS5USWbOGbyMimF5G2P77X0qjI0e8f+PyZabT\nyy+L/PmneT02VmTZMvGbl3ZcucK0djpFnnhCpGtXkfz5aUvi4kT272d9NcLtcHg/Y9w42pkyZcw4\ntG4t8uabfP6RIyIrV4rUqMEyU7GiSK5cIv36MU3KlRO5dUvk009FOnU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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot blurred 1d hough arrays and skeletonized versions\n", "fig, (ax1, ax2) = plt.subplots(1,2, figsize=(20,5))\n", "\n", "ax1.plot(hough_Dx.eval());\n", "ax1.axhline(hough_Dx_thresh.eval(), lw=2,linestyle=':',color='r')\n", "ax1.set_title('Hough Gradient X')\n", "ax1.set_xlabel('Pixel')\n", "ax1.set_xlim(0,a.shape[1])\n", "\n", "ax2.plot(hough_Dy.eval())\n", "ax2.axhline(hough_Dy_thresh.eval(), lw=2,linestyle=':',color='r')\n", "ax2.set_title('Hough Gradient Y')\n", "ax2.set_xlim(0,a.shape[0])\n", "ax2.set_xlabel('Pixel');\n", "\n", "# Plot lines for where peaks where found\n", "if len(lines_x < 20):\n", " for hx in lines_x:\n", " ax1.axvline(hx,color='r')\n", "if len(lines_y < 20):\n", " for hy in lines_y:\n", " ax2.axvline(hy,color='r')" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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MnHOj41o/RgiBpmkOOcrHsmsakeWcRsznYx+7mxAeR3S4ZjXaqJGKG9XiubyI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nNke8E0BtpSPnWs+oBJicce2o8xMPMyyJ2S4B1tHAeARB+DasiDNVKeZKedcroYTc8l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MndP0L/WsHUNrmYSgM5lyLhbuwz6LkHPodAIEvetyrS+GSNd2dL7r61v5mmUtgNkY3CwiK82M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\na0ExqeJUkCigtDLmNe9kpp3HKE9A7Dxn7V4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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.imshow(img)\n", "for hx in lines_x:\n", " plt.axvline(hx, color='b', lw=2)\n", "\n", "for hy in lines_y:\n", " plt.axhline(hy, color='r', lw=2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Cool, we've got a set of lines now. We need to figure out which lines are associated with the chessboard, then split up the image into individual squares for feeding into the tensorflow CNN." ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "X (vertical) [ 93 138 182 226 270 314 358] [45 44 44 44 44 44]\n", "Y (horizontal) [ 62 106 150 194 238 282 326] [44 44 44 44 44 44]\n", "7 horizontal and vertical lines found, slicing up squares\n", "Tiles generated: (44x44)*64\n" ] } ], "source": [ "print \"X (vertical)\",lines_x, np.diff(lines_x)\n", "print \"Y (horizontal)\",lines_y, np.diff(lines_y)\n", "\n", "def getChessTiles(a, lines_x, lines_y):\n", " \"\"\"Split up input grayscale array into 64 tiles stacked in a 3D matrix using the chess linesets\"\"\"\n", " # Find average square size, round to a whole pixel for determining edge pieces sizes\n", " stepx = np.int32(np.round(np.mean(np.diff(lines_x))))\n", " stepy = np.int32(np.round(np.mean(np.diff(lines_y))))\n", " \n", " # Pad edges as needed to fill out chessboard (for images that are partially over-cropped)\n", "# print stepx, stepy\n", "# print \"x\",lines_x[0] - stepx, \"->\", lines_x[-1] + stepx, a.shape[1]\n", "# print \"y\", lines_y[0] - stepy, \"->\", lines_y[-1] + stepy, a.shape[0]\n", " padr_x = 0\n", " padl_x = 0\n", " padr_y = 0\n", " padl_y = 0\n", " \n", " if lines_x[0] - stepx < 0:\n", " padl_x = np.abs(lines_x[0] - stepx)\n", " if lines_x[-1] + stepx > a.shape[1]-1:\n", " padr_x = np.abs(lines_x[-1] + stepx - a.shape[1])\n", " if lines_y[0] - stepy < 0:\n", " padl_y = np.abs(lines_y[0] - stepy)\n", " if lines_y[-1] + stepx > a.shape[0]-1:\n", " padr_y = np.abs(lines_y[-1] + stepy - a.shape[0])\n", " \n", " # New padded array\n", "# print \"Padded image to\", ((padl_y,padr_y),(padl_x,padr_x))\n", " a2 = np.pad(a, ((padl_y,padr_y),(padl_x,padr_x)), mode='edge')\n", " \n", " setsx = np.hstack([lines_x[0]-stepx, lines_x, lines_x[-1]+stepx]) + padl_x\n", " setsy = np.hstack([lines_y[0]-stepy, lines_y, lines_y[-1]+stepy]) + padl_y\n", " \n", " a2 = a2[setsy[0]:setsy[-1], setsx[0]:setsx[-1]]\n", " setsx -= setsx[0]\n", " setsy -= setsy[0]\n", "# display_array(a2, rng=[0,255]) \n", "# print \"X:\",setsx\n", "# print \"Y:\",setsy\n", " \n", " # Matrix to hold images of individual squares (in grayscale)\n", "# print \"Square size: [%g, %g]\" % (stepy, stepx)\n", " squares = np.zeros([np.round(stepy), np.round(stepx), 64],dtype=np.uint8)\n", " \n", " # For each row\n", " for i in range(0,8):\n", " # For each column\n", " for j in range(0,8):\n", " # Vertical lines\n", " x1 = setsx[i]\n", " x2 = setsx[i+1]\n", " padr_x = 0\n", " padl_x = 0\n", " padr_y = 0\n", " padl_y = 0\n", "\n", " if (x2-x1) > stepx:\n", " if i == 7:\n", " x1 = x2 - stepx\n", " else:\n", " x2 = x1 + stepx\n", " elif (x2-x1) < stepx:\n", " if i == 7:\n", " # right side, pad right\n", " padr_x = stepx-(x2-x1)\n", " else:\n", " # left side, pad left\n", " padl_x = stepx-(x2-x1)\n", " # Horizontal lines\n", " y1 = setsy[j]\n", " y2 = setsy[j+1]\n", "\n", " if (y2-y1) > stepy:\n", " if j == 7:\n", " y1 = y2 - stepy\n", " else:\n", " y2 = y1 + stepy\n", " elif (y2-y1) < stepy:\n", " if j == 7:\n", " # right side, pad right\n", " padr_y = stepy-(y2-y1)\n", " else:\n", " # left side, pad left\n", " padl_y = stepy-(y2-y1)\n", " # slicing a, rows sliced with horizontal lines, cols by vertical lines so reversed\n", " # Also, change order so its A1,B1...H8 for a white-aligned board\n", " # Apply padding as defined previously to fit minor pixel offsets\n", " squares[:,:,(7-j)*8+i] = np.pad(a2[y1:y2, x1:x2],((padl_y,padr_y),(padl_x,padr_x)), mode='edge')\n", " return squares\n", "\n", "if is_match:\n", " # Possibly check np.std(np.diff(lines_x)) for variance etc. as well/instead\n", " print \"7 horizontal and vertical lines found, slicing up squares\"\n", " squares = getChessTiles(a, lines_x, lines_y)\n", " print \"Tiles generated: (%dx%d)*%d\" % (squares.shape[0], squares.shape[1], squares.shape[2])\n", "else:\n", " print \"Number of lines not equal to 7\"" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Order is row-wise from top left of image going right and down, so a8,b8....a7,b7,c7...h1\n", "Showing 5 random squares...\n", "#48: A7\n" ] }, { "data": { "image/jpeg": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "#45: F6\n" ] }, { "data": { "image/jpeg": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0a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\nk9f6V//Z\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "#15: H2\n" ] }, { "data": { "image/jpeg": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "#2: C1\n" ] }, { "data": { "image/jpeg": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0a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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "#22: G3\n" ] }, { "data": { "image/jpeg": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0a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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "letters = 'ABCDEFGH'\n", "\n", "if is_match:\n", " print \"Order is row-wise from top left of image going right and down, so a8,b8....a7,b7,c7...h1\"\n", " print \"Showing 5 random squares...\"\n", " for i in np.random.choice(np.arange(64),5,replace=False):\n", " print \"#%d: %s%d\" % (i, letters[i%8], i/8+1)\n", " display_array(squares[:,:,i],rng=[0,255])\n", "else:\n", " print \"Didn't have lines to slice image up.\"" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Awesome! We have squares, let's save them as 32x32 grayscale images in a subfolder with the same name as the image" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "#0: saving output_tiles/squares_t2/t2_A1.png...\n", "#8: saving output_tiles/squares_t2/t2_A2.png...\n", "#16: saving output_tiles/squares_t2/t2_A3.png...\n", "#24: saving output_tiles/squares_t2/t2_A4.png...\n", "#32: saving output_tiles/squares_t2/t2_A5.png...\n", "#40: saving output_tiles/squares_t2/t2_A6.png...\n", "#48: saving output_tiles/squares_t2/t2_A7.png...\n", "#56: saving output_tiles/squares_t2/t2_A8.png...\n" ] } ], "source": [ "import os\n", "img_save_dir = \"chessboards/output_tiles/squares_%s\" % img_file[:-4]\n", "\n", "if not is_match:\n", " print \"No squares to save\"\n", "else:\n", " if not os.path.exists(img_save_dir):\n", " os.makedirs(img_save_dir)\n", " print \"Created dir %s\" % img_save_dir\n", " \n", " for i in range(64):\n", " sqr_filename = \"%s/%s_%s%d.png\" % (img_save_dir, img_file[:-4], letters[i%8], i/8+1)\n", " if i % 8 == 0:\n", " print \"#%d: saving %s...\" % (i, sqr_filename)\n", " \n", " # Make resized 32x32 image from matrix and save\n", " PIL.Image.fromarray(squares[:,:,i]) \\\n", " .resize([32,32], PIL.Image.ADAPTIVE) \\\n", " .save(sqr_filename)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And all the chess squares are saved to their own directory. Now we need to generate a large set of input chessboard images with known FEN patterns, so we can build a training set. Then we need to apply random noises/errors/etc. to increase the robustness of the model." ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.5.1" } }, "nbformat": 4, "nbformat_minor": 0 }