{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "This work is inspired by Matejka and Fitzmaurice's work: [\"\n", "Same Stats, Different Graphs: Generating Datasets with Varied Appearance and Identical Statistics through Simulated Annealing\"](https://www.autodeskresearch.com/publications/samestats)\n", "\n", "Which generate visually distict 2D datasets with identical statistics(to be precise, from now on, by statistics, we mean \"X mean, X SD, Y mean, Y SD, and correlation\").\n", "For example, the statistics, every frame of the following animation has the same statisitics.\n", "\n", "\n", "\n", "\n", "It is very interesting, so I want to recreate similar effect, maybe with a different method. My goal is to make it an automatic procedure for any given shape. Certainly it cannot be done, because some shapes have very different statisitcs, but we will see how far we'll go." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Setp 1 Creating dataset from image\n", "I CC0 drawings from openclipart. \n", "For example, \n", "\n", "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "There are many ways to mimic or approximate an image with simple geometric shapes, e.g. genetic algorithms.\n", "\n", "But using numpy's `np.random.choice` and treat the image as a probability distribution works good enough.\n", "\n", "Downscaling the images and using the option `replace=False` to make the sampled dataset more evenly distributed. `np.random.choice` will complain if an image is to sparse. Blurring the image should fix this and makes the dataset more random like.\n", "\n" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from PIL import Image\n", "import numpy as np\n", "from IPython.display import display\n", "def get_dots(fn, size=(160,160), n_dots=500):\n", " # replace transparent background with white\n", " img = np.array(Image.open(fn).convert('RGBA'))\n", " img[img[:,:,3]==0]=[255,255,255,255]\n", " img = Image.fromarray(img).convert('L')\n", " img.thumbnail(size, Image.ANTIALIAS)\n", " display(img)\n", " # Use the image as a probability distribution\n", " a = 255 - np.array(img)\n", " prob = (a/a.sum()).ravel()\n", " # sampling from coordinate\n", " y, x = np.unravel_index(np.random.choice(a.size, n_dots, replace=False, p=prob), a.shape)\n", " return (x, a.shape[0]-y-1)\n", "dog = get_dots(\"img/drunken-duck-bulli-outline-2400px.png\")\n", "penguin = get_dots(\"img/penguin-line-art-jesusfreak210-Penguin-800px.png\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "let's plot the data" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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i19XFoa2NCWqyBirzmc6EDoQ+J6qyUoxJBwyCMBr9dVxcLKO9Pb6lbIlKUpbY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\nAng8k81qUwUjrolEoauLA8+rSeFZWeo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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%matplotlib inline\n", "\n", "import matplotlib.pyplot as plt\n", "import matplotlib\n", "matplotlib.style.use('ggplot')\n", "\n", "plt.figure(figsize=(5,5))\n", "plt.scatter( *dog, c='b', s=8);" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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9RG1ry8PatSVxez+NhCDIZalOn+bh97NgWYLnnhvKSlNJuWbyviADlgX6+rJj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\n8uWaTTbX4Xlg5coJ1NaK4DiC8XELtmy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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(5,5))\n", "plt.scatter( *penguin, c='b', s=8);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Step 2: Manipulate the statistics\n", "These datasets have very different statistics\n", "\n", "for the dog dataset:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "X Mean: 78.702\n", "X SD: 46.07729588419876\n", "Y Mean: 67.82\n", "Y SD: 44.55454634490177\n", "Corr.: 0.3375295756717091\n", "\n" ] } ], "source": [ "import scipy\n", "import scipy.stats\n", "def show_statistics(x, y):\n", " print(\"\"\"X Mean: {}\n", "X SD: {}\n", "Y Mean: {}\n", "Y SD: {}\n", "Corr.: {}\n", "\"\"\".format(x.mean(), x.std(), y.mean(), y.std(), \n", " scipy.stats.pearsonr(x, y)[0]))\n", "show_statistics(*dog)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For the penguin dataset" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "X Mean: 79.61\n", "X SD: 37.12963641082417\n", "Y Mean: 82.48\n", "Y SD: 43.443498938276136\n", "Corr.: -0.019533783548800837\n", "\n" ] } ], "source": [ "show_statistics(*penguin)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It is not too difficult to manipulate the statistics without changing the semantic of the image. For example, means can be changed by translation, correlations can usually changed by rotation, standard deviation can be modified by stretching an axis.\n", "\n", "We would like to manipulate the image to have standard statistics, i.e., `x mean = y means = 0`, `x sd = y sd = 1` and with 0 correlation.\n", "Because it is usually possible to do and we don't have to manually choose the targeting statistics.\n", "\n", "This procedure is called [whitening](https://en.wikipedia.org/wiki/Whitening_transformation), which is frequently used in machine learning to preprocess or standarize the data.\n", "\n", "There are many ways to whitening the data, e.g, PCA, ZCA, Cholesky whitening. Some changes the image more than another. We want the whitened image to look as like the original image as possible. \n", "\n", "Turns out ZCA is optimal (among linear transformations) to minimizes the total squared distance between the original and whitened variables. This is one reason ZCA is a popular choice of image preprocessing for machine learning.\n", "\n", "\n", "See more in [Kessy et al. (2015) Optimal whitening and decorrelation](https://arxiv.org/abs/1512.00809). The ZCA_cor mentioned in paper is also worth considering, because it is optimal respect to correlation of the original and whitened variable. However, it seems the result are very similar to ZCA in our cases. Moreover, because we are going to transform from one image to another, squared distance makes sense too. \n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, let's ZCA our dogs and penguins." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def ZCA(X):\n", " \"\"\"ZCA whitening\n", " adapt from keras source code, \n", " https://github.com/fchollet/keras/blob/master/keras/preprocessing/image.py\n", " \"\"\"\n", " X = (X - X.mean(axis=0))\n", " Σ = X.T @ X / X.shape[0]\n", " U, Λ, _ = np.linalg.svd(Σ)\n", " principal_components = U @ np.diag(1./np.sqrt(np.abs(Λ))) @ U.T\n", " return X @ principal_components\n" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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SStk2WMEqYiXQrP5hiRbqsVpxZwukIHOYRKzPqZJK8X6JtIxpZaXqyulXieYS0bLT2bRL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\nttCqo4PF7beXh+roEpl4lK1kQhsmzwN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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "X Mean: -7.105427357601002e-18\n", "X SD: 1.0000000000000002\n", "Y Mean: 1.474376176702208e-16\n", "Y SD: 1.0000000000000004\n", "Corr.: 4.725109192804663e-16\n", "\n" ] } ], "source": [ "dog0 = ZCA(np.float64(dog).T)\n", "plt.figure(figsize=(5,5))\n", "plt.scatter( *dog0.T, c='b', s=8)\n", "plt.show()\n", "show_statistics(*dog0.T)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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5jVodjqWa3dXVkiMCOfmIWi4b7ypS76v2uXfbWAoysQ1ADcR0d7O4dGm+SW3v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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "X Mean: 1.2434497875801754e-17\n", "X SD: 1.0000000000000007\n", "Y Mean: -8.526512829121202e-17\n", "Y SD: 0.9999999999999997\n", "Corr.: -2.309263891220325e-17\n", "\n" ] } ], "source": [ "penguin0 = ZCA(np.float64(penguin).T)\n", "plt.figure(figsize=(5,5))\n", "plt.scatter( *penguin0.T, c='b', s=8)\n", "plt.show()\n", "show_statistics(*penguin0.T)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The differences can be easily spotted, but it works as expected and I am happy with the result." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Step 3: Transform from one image to another\n", "Now we only need to transfom a dataset into another. The easiest way to do is just doing linear interpolation: randomly pairing points between the source and target datasets, and points moves along the straight line from source to target. It may not visually amaze anyone but it should work.\n", "\n", "About the statistics, we can simply ZCA each frame along the transition. \n", "\n", "But we would like the transformation to be more rational feel, not just some random moving. One way to do that is to search the \"minimum movement\". That is, we find a way to move points from one dataset set to another with mimimum effort(e.g. total moving distance). \n", "\n", "This problem can be viewed as [minimum weight bipartite matching](https://en.wikipedia.org/wiki/Minimum-cost_flow_problem#Minimum_weight_bipartite_matching) problem in graph theory. It is indeed an important special case that the graph are equiped with plane euclidean distance.\n", "\n", "It is also the earth mover distance: the minimum cost of turning one pile into the other. Also called as \"Wasserstein metric\". featured in the deep generative algorithm [Wasserstein GAN](https://arxiv.org/abs/1701.07875) by Arjovsky et al.\n", "\n", "`scipy` provide a function `scipy.optimize.linear_sum_assignment` to find the minimum weight matching, which is a nontrivial job to do. The pairwise distance between two dataset can be easily computed using `numpy` and elementary linear algebra, but `scipy` also conveniently proved `scipy.spatial.distance.cdist` to do the task.\n", "\n", "\n", "\n" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "done C 0.0044400691986083984\n", "done 27.968473434448242\n" ] } ], "source": [ "import time\n", "t0 = time.time()\n", "# compute pairwise distance between the dog and the penguin\n", "C = scipy.spatial.distance.cdist(dog0, penguin0)\n", "print(\"done C\", time.time()-t0)\n", "\n", "# find the optimal matching, this might take 10~20 seconds\n", "dog_idx, penguin_idx = scipy.optimize.linear_sum_assignment(C)\n", "print(\"done\", time.time()-t0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Rearrange the data to match each other." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [], "source": [ "dog1 = dog0[dog_idx]\n", "penguin1 = penguin0[penguin_idx]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Plot dog -> penguin vectors " ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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+5pMYnn8Koxwwzj2OWtjfvOGcnY0kou0x2BER0Z7NGogyHejUL1W5U4NO7I2W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ZAAAg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BO4B3emIHnN8AFWCP2M3aQS1wuph3WkekhxYw/X4fnPND5Wm6l408KCRrq9frSJIEvV5Pkbok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j06k18SB3R82a0D5gHQslxSvk/arCXLzCTt6Cjn15HEpOMPCAbKyzOSsgRT7nwtc+dchna7\nLeIp+P0FQSAqvLW8jtAdJh4ThyFCdwjVTB5fi0gJrbWzMuvS0QfAXJIqf4/ngYPcMI8jX/rWv1PH\nX332MbQlXndYp9+sDtxB5I0Or6sgPeOzJhmHB81VOGfX7/eRy+Vm6+oe2ZhMJqhUKgkiyAyz83CB\nvWrQdT0xuyYydo3kXmNRYUqO0zkLkIhyvjWXy4k8PhpqUY7puq64/jGUnbmlnueJSCASt3w+L+Y6\n5Q4eVTnrc/x8sSZ2FxxRFCGO4yvVrQOk4HE9KSFYVULEQXMSB5qxyA5sXMzWOBz6/b4gDQdV36K9\nWbNxp4XHAgXhV30drn3xc1AoFNDv9xPui/YDNzC8+QTcMEJOVVExdDjdNrzWLnKqAuOJh1FsPY7o\nn/zsiXZTe70eRqORcDMbDAbC9rnf72dKDuWulVEqHarjGwRBYn50PB6LWQQej8zFyzJrGY1GiU6a\nLK8sl8tidk8mcOn4A64XnMnhfUkysySYfG0g251zEYIgEJtKSkYZWkvS+feeauCvPwt0gtklJw5D\nVGMHkaVgqM7XtkWkZJHTZfo7KxQK4j3I3b3zdGTMkmGyS80u7lFRjMe47wXX8cCnR/CNowW/LzJP\n4bGSBVVVV54XUhRFzOFMJpN1WPkRwbgR3/cFYZtMJigWi2LNIeHL6t4xG2+96T465Nm1VYxMZJw1\nseOcJjuMWcSuUCgIMxRZKZPP54VUnCYqHFmg2ZhsosLrDU1U1p3588Wa2F1wXDVHTOKwi2IWVFUV\nM1z5fF5oxh3HwXQ6FdI7LmokIfLmfDffOBGr8KsCVvhWmXOLWjuI3/p6RLu3cMsdYxKEqN9+DLVn\nvWmfcyMAuK1d+FGEDVNHTlXhhrNju6iqUFQFVUOD0r59oCnJYeB5HrrdLnRdF5l13Ozzz+nZK3at\n5EiCw3R8Ka+UN1FpAkdilTZrGY/HIhJCzraSzUIYbZCeIyOJ5kU1CIJECLl83ywJJqMmskxJlsFx\nnMTz5HI5sZGkXXZVj3DfC6/jdx+dYhgAuamDVzzrLgDA799U0B+HS0nJaDTa53RJsFosf8cXQYIJ\nQGS4sdpPnIQMczwew/d9bBYN/C9fvo1ms3mk51kWRr6M2PHfV1GTcKZVlnytcTTwHKA0czQaCTUA\n193pdCrcNBkBZNs2hsPhyjmka+yHZVmCVK9qZEKcVOTBqpANX8Iw3JfHRxMvyirZmQPmJioEjVNo\ncMb9FlUanLPj9WtN7M4Xa2J3wRGGYdII5Irg3udu4OO3HckRD9jIa4cOC+eQOSHLC2SCpw16KLzj\nF5DrtQAAMYDbj93ETz/3f8Ztjxuaw1uFXwWQ8HrtXQzNApSvvwe1L3z2wRu2B24ArR10JwGGQYic\npuKaM0D4vt/E8Bu/EwBQnvrA//VWtEYDDG89AQCoGBrsIEKMGCVdQ0nXEEQxNG4wDzAlWflz7WXW\nTSYTNBoNmKY5Oxb2HFTp/pXumMlzb4ctqLCaG4ahmGkwTTNhjiKHicsXQBof8LX5eEpCGfCeJnBZ\nJJpyWpJYObQ2ywUzS8q4ClihTWdSVioVlMtlsQkCgM2igR/+ys09GWlB3P++r9o68Dtl1zEtKcuK\nPshyEz0vHJRdd1SSI39u/v2oOGrHDjjcnB2wNlA5KVBlIDticv6Jx1e/30c+n0e5XIZlWdB1HUEQ\noNvtolAoHGl9u9MhyzGblrJv/n9ZYZj7OM6Tn8V3b1kWgiDAeDwWXTo6XJZKJSGVZ7wGiR2DzRnR\noygKms2m6ABSjknn1lqtBtM0hex/Op2ucyvPEWtid8ERRZEYTr1qSC9sJ7nQkeBx7sj/3d9C/9YT\n0BUFVUOHoSp4d+VLJVI3w2Gtwi872HULbt/CYBIgRozq7c9Bve+f73cSTSHud+GFEYI4RkXXsGEZ\n0BSge3tnNjvmOzB+7V8ibu2gMwkQRxFKpolxGGIaxzBVFSV9VrDQ1flvf1IxFIPBAMPhEPl8XlyU\ngBkBYIZienOzLFNuFcjdOl6801LPRXJHuSuVy+UQRVHCwEaefyPBCcMw0ZXjOjEYDITUj8Q1Pbsn\nrym2bYsu3mEuyK7rJmYJLcsS0tMoikRnSn59uWK9igwxTXbTr5/uMma5gp4XsmSYJMK5XO7I67rj\nOAlJ13GIXdZz8Ljl7em1+bDELp2tdV7upFcNjPZhV47d/nw+L7onlElvb2+L+9Ewg5LNNVaHLMe8\nVi4faq/AubUwDM/kHLAsSxjuyIUaRhxwXpmyShYiAYgAcl7LKKNmcZBdOzpN07CFYwbnFS2zxjru\n4MKDJ+JV69jdeLCNljvbmHBD0XKDpVbnR4FlWWg0GqhNPJiqijAGtL09Ss+aV//jMEQ48RBNJ+iM\nvJU3LJcee123YO83KOkact3W7PYFiFo7iN7+ZgSPP4LhdLZJvytvoqjPOnFBaSb1Kf3n3549dxQj\niGMYigItCuFW6lCf8WxUv/T5QGMz+eQnFEPh+z7a7dmx1Gw2hZkHq5BZ5E3OlEt38VYBpShBEIjK\nLAkHL+Ke54nb5flPDqbLXSmZ6LEaCiRJmUxi5Pk2OXuQ4POlJZi8EB823kDO6ePGn8HWmqaJopR8\n/7QE7CDi5boubvZdvP2/dfHPP7ibiEVh9AG/E94/Heh+XoiiSMQZyJ/7uDLMMAyFXJo4rY7dQSHl\nh3nddezB6aFQKGBjYwO5XE4YXpBMh2GIXq+HwWCAXC6XuB9vv2OudycArtss2hwGZzlnR+WIoiiY\nTCYYDAZiLQqCANPpTEKazrQjWHjiWk45JjBbZ+mwTCk8Dcj4POtj6vywLptdcIRhKIK3rxJongIA\ncTBBMPGh6iY6zulIIHMbm7BMHWEcQ93byNTHc5c+RdOAEAjcIaxpjN3dXSGd4OIm26hfFVD2mNNU\n6IoiOmeL5JDs8MW78w5fSddgqirGYQRH06E+/6tn0QZ7z6GrCpqmjmkYYxCEQGMTjR/7FzAtK3Pu\n8bjGKXEco9vtwvd91Gq1md1+ryeIS7/fB7Bfcihnyh2lij169GGE738Pwn4PqNURv+TvQ7l2tyCJ\nadmg/H7TXSnP88TmrFKpCJfSQqEg3pucD0gSM5lMMrMHOUORlmACi+f9DoLcrQMgunUAUK/Xoaoq\nWq2Z9JlZbZZlwfM86Lp+YNU6DEN8dqeLX/jgTXSVIlTNgyyXtqZOYkZSlmDKweznhdPKrtM0Dc1m\nU3RlOVt1VByF2MlmCauCc2F06VvjZMFCDs1VKKGzLAvT6RSO42AwGKBSqSTux2iVSqWyNhtbASRH\nlL8eZl7xLOfsdF1Hp9NJnL9UCsgulpZlibloul7y/KdyZDqdCiIod95ZJKSMk+tCFEXCpGWNs8ea\n2F1wXMVwciBpnqIaFuIwQOg7sMYqOp2O2ASemJTq5fcCD38KmmRZ/+3Dv8CnnzaXY2pmHtfKOdzz\nxbONLzNcAIhg6asGpdYAl/2V5JB7HT43jDCNY1h7csoo3iNtcYDKb78Lyhc8E5CeWwXghOGMCG5s\nik3tacRQ2LaNwWAAy7KETIkEgDlC7IIRyzLlVoH3xOfg//LPYdq6DUNVMIlimI89jNwPvR6atg1g\nnouXy+USx7UcXUA3Mrk7R/c7XdfFe5tMJiL+QHa7ZAdPzh5Mz8/Ja4n83Ie5CMdxnAi2BeaxDnRJ\nkz8v7bLl75hFq0UYDoe4/2MddAIdWk4XksAde4p3/vlNfNezcomcP372YrF47hJMIDvO4CQiDojJ\nZNa5lLMJj4JFxI63ZRE7/vthqvIsUMpZWmucPNLmKszDpAyw1+uJGTsqAeioaVkWKpXKlVMInTRI\njpjVuSpOIqR8VXDPkp7F5VwmZ+WYAWyaZkJmCUAYpBDs2g0GA7iuK+KQBoMBfN9PfC9XsRB+WbBe\nWS84rqoUczZkPN98abkirlULuOeLGiLUutPpoNVqCSvz40DdvAbltW+A8rwXA898DpTnvRjXvv9H\n8IaXPg0vemoFz9nO40VPreCNX/90PPvJ1/Z935R9sWp1ZfDye/fP0i2RQ7ILV9BUFDUNFWPPVj+M\nEMUx8po6M6h54EbiuUfBjAiam9dQftWrT+3jTKdTkVlXr9eh67qQJebz+Xk2XYq8LcqUWxXOe98F\ndHZRNTQgni2sareF4h/8NoBULp702qykk6ABSISJa5q2rwsld/gqlYp4v+l4CSI9u0ekpaeH6XAx\nzoEwTVOcG7RV5xwjZ92Yx0czmWXfNTPrhuMIiplH4M0d2uI4xm5nFnPC6jLnQy5KAYYyTFVVT1SG\nSXBOh2TpONeH40gxD7sur+WYZwOuM81mE6ZpiuNFVVUoigLXddHpdBAEAarVKur1OjRNw3g8RqfT\ngfO5v0X09jcj/IUfR/T2N8+UFWsIHFWOedbOmMVicR/xVFVVZLjyPJTlmHL33zAM4a4ZBAF83xdh\n5ywY5PN5oTJRVRWGYSAIAmHassbZY92xu+C4qh27ayVzn6PUtz3nqTAn9r5qFheS4yKrO3QNyBx+\nbjab6Pf7YnMGQMjj2FnJ5XLnLvc6LtTNa4fKaGOHT1EUlI35ZrKoa9AUBZYk5dT2ntt/7zsx7bSh\nFcuofdv3nmhGXRq9Xg+2baNcLqNerwvZZalUEuStVColNsLLMuVWge/7GPc6MBQFFUNHhAB+GKGo\nqVCGMwIi5+LJr53OnpNnxMrlMnq93j4jkOFwKALWSRBkWaY8tE4DhSxHSdd1M+f9DoJM2gh2Yui+\nx26dPF/Iyu9BMjxZsrrZqOKTD7XEMQcA0dhDpaoJCZFsICO7YO7Yk3OLMslywzyp7Do+F4BDdQsW\nYRmxS99OHIfYUfq3tkQ/fRiGISIPGCrP35UOmcViEaVSCRsbG7NYhMceRf9tb4LXa6NizNZ1fObj\nCD/vaYDvnZhk/jKDBRvOVa8qq9Y0TRS4zgrVahXtdjtRpKGxHLtsvJaweysbHOXzeVG0o+Mqi6SM\nNqCJCq9TlGty9m6Ns8Wa2F1wyFW2q4ZrJXMfqQqCpC6cg+Cs+J8VmJFHe/l6vS7Cnqmtt21byKAu\nM/E+lBxyT9KKjApuTpt/B5Ryxo1N2N/0PajVaojjGMYpLvKO46DX6wmnOHkjrWma6NylicVRZ8zk\n11UqNRR1DdMohh9G0BQFBU2FUmsIBzU5F4+Po6NjoVBAEASJ7pzjOGKGg4STFVU5nNz3/X2yTCAZ\nWp52wZSlp2nCdxA4lE+wQgvs79bx88qmMQdd6G3bFrlLL38G8InHksHmTWOKe754S7xvWYJJorNj\nT/BT/89jUsbU2UaZnLYMk8TxJCSnWevqaZinADNiRzOHNc4OhUIBjUZD2NUD89+Ocs1KpTLLuPuT\n38Og28I4jjEKgJqhA90W0G3NHqMowMOfQvTaN9zR5I7GIYfNZmS23FnJkTmn/dDNNt7/VwN4Sh+1\nvI6vux5jSxkLiXvaRIXXHMYhALNjhmHmjuPAdV1sbGwkAsvptGrbtjDvuWqKs4uOy7sbvQPAi+pl\nJg2Hha7rYsPKTp3neWi322fe1udGuVAoQFEU4TxWr9dhWZaYhWq1WhgMBldPppmBtKQVz/3yhc6W\nzFKLoiiRpXYaCMMQnU4H0+lU/GbynNqiiIFFmXKrQoR6v+xbkLt2HXYwIzxFTYWydRfw8nsT821y\ntZxkrFKpII5jQVDkYHL+Oz9jOtogfZvcCVokweS/ZYWzrwKSNn4W2QHUNE24rpvo1qVlmctAaSoH\n9usmcN8Lr+Ornt7Ec7bz+PItBfe94Do+f3smHVskwbzxYDsRHAzMo0xOG3RdlWWYcnbdSc7XncQ5\ndVQppqIoh5aUKYoCwzCEVHWNs4OqqqjVakKizt+Xsrlut4vRaAR91EfT1FHSNVT05IbcDiK0xlMM\nbz6B8b9/54nEbFxWyNmgh/keznLOjhiEGt7ykTb+66ND/PWuhz95dIS3fqSNXXuSKDhlyTEp3aRB\n1XQ6RRzHQuLLjDx27eSIrnTkzRpng3XH7gKDF01N0+6oBTSXywnJGkOZfd9PDH2fZfcuvRGjsQsl\nfJRoyjLNqywzSnf4FjlbDodD0ZGqVCoifuA00Ov1MBqNkM/nRWWaM3N09JKzzoCk5O+wM2aEyMN7\nyudj8o9/ApN/++vQ7QEKd12H8o3/AJNyDZN+X0Qr8Lvq3bqJsFhB+Zu+A7q+LeY32b3rdDqz593L\nBwKSs3eWZSWIc7FYTBynyySYlMikO4irwPd9BEGQiDXgOrWoW8fHkPgtw2g0QhAEiWr2VsnEj754\nC77vYzAYCKOXZUHkdN2N9wx7VG32Hfa80y++yDl1fE+0/z5Odh3B78c0zRNZB5dJLhcROwCisHBY\n0GCBeYdrnC0sy4JpmnAcB47jQFXV2THVbSH6z++H+7efRTWGyBiVESJGGMdwwxDuzg703V0h5T6p\nkYnLAhIeFgdXLbKc9ZwdMCt0dUILUOav2ZqouP/jXfxAvSiKcLIcU+5E5vP5xDwh4w4Y01OtVpHL\n5dDr9YQ8k0oVwzAuxNzznYQ1sbvAkOfrznIRuAgolUpic1er1eB5nghWZeDqeW8KdF1HpVJBuVy+\nsjLNVZAl5fR9X8x1nHZQqed5Is6g0WgIMw1VVVEoFNDtzgxf0oYpizLlDvO6srywkytC/fZ/hEq1\nCi2fn5mT7BG0UqkkoiLcW09gEoQwFAX51uPwf+D1sFVDdIhJbmgwAkDIMmVnTFqam6a5MD4hLcHk\n4/h9HPbYTDth6rqO8XgsbLPTs3WHyQZ0XVfIe+RjxjCMBAkniRsOh4LUpteCesFANB0g9G3opfr8\n9vzpu2VmzdedhhvmSa1/yzp2y2boeF06rKRMNlA5igPtGseHoigolUrCITHqtBC94y0Yt3ZhqEBH\nUVDStZnyQCoe1AwdkR5jHMUYN5oIMPsdZWnwiTtaX2DIs2qHmbMD5gWag9yBTwI9dwpFVaFZc1Mt\nVTcxnMwUD5RLpk1U+JksyxJ5dmEYwvd94Z7KEPNCoSDm7mj8RdMezvKtcTa42jvOSw65Y3cnQt4s\n5PN5bGxsiE4ZZbOPH9QAACAASURBVCMXoZOZlmlSonCnyTSJtDzwNI/fKIpEZl21WhXECIAg3CQa\n8sXzuPEGacJCSaYcei6bk1iWJaIixtHsmK0YOtDaweC3fn3290olYeTCThtdYuUZOhYSsojzMgkm\npYvpcPZVwKIFu3WU2gCzGZ5Fs3XMBlxGRHi+xHGMa9eSczumacK2bfE7mqYpKsqLXDBf/nQL1diF\nouliY7pZ0HHvczdW+qw79gRv/tBN/MQfPIo3f+gmbg5WkxPFcYzxeCzywwAI9zlW+I+Lk5yvI1RV\nPZR5Cu8DHN5AhZmglACucX7QdR2NRgPVP/pdGL02TE2BpapQoMAOQnQnAaZR8vdXFQX5a9dR/7bX\nYGtrC/V6XWzk047WVNtchOv0aYBd+VU/o7xnGY/HaLfbZxLkPYuXApRUAaZZmasqgLkck902+b3J\nRWrO2mUFljNChwqN8Xi8ryC4xuli3bG7wOACcNU7PquChiae52E4HIqh72q1emGqgwfJNAuFwpWu\nXKXlgaftiDUcDjEcDpHL5dBoNOD7vuhiGYaBwWCQGW8gd5aOcuzIhMUwjIQBCzDb7JLkkKAxKqJu\n6phEEQxVwWAaIOj3UNg7bijBZDU0PXtHtzG+Xq1WSxBnXkSzJJgyGT0KmZVn6+I4hmEYglxxeP6o\ns3Xc8NTr8+4aXecAiM/E/LtFEswoitDv9+E57kyCacyPv1U3l1nGK59938fw+q++fqDxyng83ifD\nlCMOTkI6yeDpk1QspLtzB83YAUd3xgTm8RjsQq9xvsi5I5imDj+MUNA1hHGM4TTEOIoQzzxpZ3cs\nV6F80ZckXDF5zQMgLO4pT3RdF67riuOV970qxWp+Ln7mVa7tXLvljNzTxr3P3cCn215i7vhaycB3\n/N1rwHgE3/dRLBaFiYqcaUfyxjWe8DwP9XpdGPKUy+WEiUq1WoVlWRiNRsLIbH2unw3W3/IFxp3e\nsVsELjyDwQCTyQSdTgelUkksTItwlvbnlGmWSiUhS2THQ9O0KyvTlOWBp6mrj1o7GP/7d6L12GMI\nckU0X/ldsCxLzPGVy+XE/Jz8PZN0U450WGR169KOjyQ5clabHAZvqir8MIIXRtCqdTFLmu60UZZp\nmiaKxWIihJwBw/L7WibBdBwnM5x9FUynU9GJomU6N/R8X6zK8jtNk99FoJRJ0zTkcjl0Oh3RnXQc\nR1ST+Tv2ej3x3cqfYzKZYDAYIAxD3P/xLrp+BKNsCte3thfixoPtzHgTGTRe4eMA4ImBv9Jjs2SY\nJHYnUdChm95JzdcRMolTFEWYoywjdrwuHWVMgLJdeeO4xvlBqTWgKgoKe3N1mqKIApQpryPXnwx1\niYOyruvQdV2sCTLJy5JsrjJ3e9GRjg5YhmKxCNd1xTmlKMqZ7O+y4qW4/+l0fDGHTiVHLpcTsnie\nn5qmiWIbza24vsskMJfLwfM8FItFaJomJJme562l12eENbG7wOAF86pt/k8CmqaJfJ7RaATbtkX3\nLqsqdF7255zzKhQKCYLH95zP548cin3RkJ6rOy2Dm6i1g+gtP4ne44/BHU9RMXRUf6ODwT/83xAV\nyygUCmJTQaMNGYsy5VYFXR9zuRx0XUevNw/LBpYQRykqIopjDIMQaG6h8srvSpAbdtrk7pscXs75\nu7TxyTIJ5qKA9FXBzhvnqgzDEEUKbgLYrWOncZXuoExGZTLOXD9d1+G6ruh2U4KpaVrieV3XFc8D\nAANvClU3EU3HUFQNij4jlquYp/TcKcKJB0CBZs6/x4MeK8sw+f1Pp1MEQSCynY6Lk56vI2TZZVqG\neVDH7igyO9M0RfbhWdm+r7EEC2JszNTvwhibVaCqqjASo1MsCR6JBO/HTh7jMC4TOKfIbv2y98/v\nhEWwsyzaZ8VLAUhILw3DELN23FNxhpp7GdnNlsSP1/5Go5HIuOMcJyOrjmpStsbhsF5NLzBYEV93\n7BajUCig2WwKaU+n09kXngycr/05QbngxsZGQpvebrfFnNhlRTok+lSP2QduwL51E/1pAFNV0TB1\nxK3b8B54t3B6XOR2yY1FVp7dKkjLC0locrmc2Lgv6hTKURHDpz4T8Zc8H8Uf/ElYdz0pIS3k7Npg\nMBC3aZompMdyJAixTIIJzOQ/jDc47G/D4Xe5S8fNPGfr0t26NPldBGbW0eWT838k5zI5jKIoU4LJ\neT+ZzFbzBuIwROg7ULT56x9knhLHMfKxj9BzoOopQ5YDHkuSInfTZBnmMqRn+nbs7CgAdjxOk9jx\n76cpxQSSJiprnC8OE2NzFHDmtFwuY2NjAxsbG0JxQEv8fr+P3d1ddLtduK57aQzj+NkYaUIFxyLI\n152LUNDgukly5jiOKA56noednR3xeWTn0yiKBBnkiMB0OhVdO84dcn6X15E1Th+Xv01whSG7Yq6x\nGBwAdxwHtm1jNBqJwFVuKml/DgBxFCIce0Ac4VZrgm53trBxE0Mb93q9firVJVmmmXbTvEwyTVr3\nR70O+mYBwUtejvKTn3rqM4STThtOGKKgaShoKoqait40RDzso1wuYzweL3S7PIl4A3amVFXdN0Mm\nE8csiZm6eQ3evf8rpoMBTF1HtdkU0kJ5JpHRBpTFsMtLiaJ8bKS7XunjhlXXo5LZrG5dEASigpvV\nrVtlti4IgkQXMd35pOtloVCAYRgJCaYsdeTGir+tpmn4uqea+GzHQ2dqiN/5WslYap4ShiH6/T7+\n/tMLeKhVQFeqe95dzR1ovJJ2vuRGT74tC6uqCeI4PpX5OhmHIXZHNU8hLMsSHdirHA9zWbBqjM1J\nYJlkk/8BM8kmJe4XUbLJ84NExnEcBEGAZrO58DHsiHmed+5KnfF4LBwxWZyN41iEjHc6HXieh+3t\nbQAQM3hc87nGFQoFDAYDuK4rZu16vZ6INGEshOu663P9DLAmdhcYnGW56Bv8iwJujOXZu3J5Js2b\nuULNqueKqkGzCgh9B2UtzgzKPYusPHaXisXipZNp0rofrR3Y0xDjMIT56EMo/Nj/DpySjp4bjdHn\nHgYANE0dBV2DF0azWZB6IzFnl+5cZTlXHur19wxRKLF0HEfYPPM3Oog4BkGQ6GxmBWzLjo+VSkUQ\nDj4mLemjBNOyrMzPJc8DHvaYZjWdm3xgvplhbl26W5eOPFgE2XCG83ic/5OlqXQ3zZJgys8VhiFM\n05xtrHI6fuSr7sZ/eGQMJzYSMyVZGI/HgkxvFg28/ms/H/d/xhXzKD/w1V8Ac7pfCZB+DiDZiYqi\n6MB8r2VqAlk6xWDg0zAkOk7H7qidFcru1kHlFxNZMTan8jqSZBNAYh6PXSDm7ZHgyeZE5wlFUdDv\n98UxzM7WQfLkUWzgHX/2CFzFwlbdPtV5/2Wg8Vf6HB6NRomcPs/zRHGKxI6gBFMuqMsmKpyxln/P\ni2J2d1Vx8XaMawCYLQxRFF0KGeZZmpIchHT3jnbL3/p36glXKEVV8aStBl72JXW87aM30bN9VPMG\n7vmiBjaLBvr9PlRVTQx5nybBovSBXQwSPXm+6EK5ae5Z9/thBCcMoSoKqsMOlPe/+1Q2A1kZcAVd\nQxTHGAUhYFoof83LMk1LgOM7QgJIEDkA++boSBzTQegyWBGlTFPuwimKso/4KYqS6N6ln5fOc4vy\nAl3XPfA9rfKZdV0XrmZhGIqID0ou2a2TTVSWdQfl2AWScUVRUKlU9gXHZ2XYpZ+L5DOKItH9LKsq\n7nvRtQM3EY7jiOcnnrJRweu2auLvG9U82u3FxE6WYZLwrCrDpJogmk5m8Qx7j0/P9J3WfB2QnWVH\nCdVB5ilHtbJXFEXMatIefY01aKhSLpcRBAEmk4lwO+a5PhwOYRiGKASdZ/GzWq2i0+kkyNGyc2LH\nnuBn/+gWHt+dQDUUfHIwPJN5/yzwusGsV2BWcOFsM41hXNcVjsW6rgsTFaoIgiAQhE+OPrBtG+Vy\nGbquQ9M0MX9+2tm2dzrWxO6C4rLM160qI6KL0km7uWWBm225e6crU/zYV27g/k87ogr/0mdU8Esf\nvo1bIw3RREPYsfFw18c//Z+eiq2iIZwAWYln/hKJ3mn8Npyfygo9pxHISdmmHwe07jdVBTlVRU5T\noSmKuP3E8cANRLu3MApm50XFmC1ddhAhimPkwynwm78M+zt+CPrm9j4J4HEcIYFZV0ImcrIBCzfA\nBwVx27YtNrDFYhHdbjcRYyBHG5RKJZimKayiDcPIjC9YJsE8blYfSZrcreOfZXIrf2aZ6C3abKVn\n5dKfgXImklHGZ6QlmMA8/45kU46IYWFmGVgAkiGTs1WRllweJruuXjAQBUOEvg2jPDenSM/0nTWx\nO+0ZOwBCZkzJ1hpryKBkk7O8vB7Lsk3ej+YrZ30cca6ZUnJgObFjh1618lD2YiSyOvRnBTpYcx3k\nNYndR1VV4ft+Iq4gn8+LTFMAItNONk0hsXNdV5ioOI4DwzAyr1drnBzW3+wFxWVxxMySEd0ajvHO\nP78Jx3HQ6/XQarWwu7srqupnBcMw0Gw2hWQsH3p49Rfl8TP/45PwuhdcxwceGmLHns2sqGYOerGK\n1hh478e6qNVq2NjYQLVaRS6Xg6ZponI4GAzQarXQbrdFR/CkQ0Yp09zc3EStVhMSs+FwiN3dXQyH\nw3MN96U7mqooqJk6cpqauP2kEfe7s66goaGsazBUBVEcwwsjqIqCsq7BvnUT+P3795mWHNcREkh2\n6yhP5G/Ef19GHOWQ8UqlAsdxRKFDfg45KoIzG6qqolar7Tt3GIWwTIIpz6gdFp7nieF3eQ4DmNt2\np7t1slR1EeTZOVbkaZgShmHie6KN9iIJJruZlmXtc2JdZYNXLBZRq9UStx2lM87ij2xEwL8ftOa9\n6otraCgeoMyP2fQ8ICvjq5DVo2BRx+6gx6Tz7w6LtYHKGquCbrPVahVbW1toNBooFoti5tdxHHS7\nXezu7s6yLD3vTMK/AexzKV5G7NihVzUdilQcXsWx97TAQiIwHwHiLHcul0vMCwPzdY2f0/M8EYdA\nkxQ5sJzXET4/1QxrnA7WHbsListinMJFKo5jRGMX0XSMOIpwu+ViNNq/QbJtG5qmiYo6/3xa4Gbe\nsixhSczZu32GKp6NOAzQ7s/IUxoMg2alMAgCIS0A5oPe/O+kSCxlmtPpFK7r7pNpnkUQ+D5k2WMf\nwzXtIDADjgQSmJHKhqkjjGNMohjjKIJuD/aZlti2fWRHSAAig0dRFBSLReFWyZm1g4gjO3HA3N1R\nJi/ArBvD26rVKoIg2OeKKeMgCSaPS1VVj5zVJweS8/9hGIqOcVqKKpPfRd+zPDtXLBZFILtsmCJ3\nQtOyVBnsgBqGIcLpZdnoKudEFEWJWT/btg99Lk0mEzHfd1gZZhRFsKYO7nvBXXj/Qw48LZ85D0jZ\n02md58uI3bJNKkn/QTbvi8BIiyAIRPFgjTVWgZyBF4ahWFto3U8iIgejn6Zks1QqYTKZiFnYRZDn\n/RO3H+C6e9qo1Wr4+KO3cP/HdzExXdQLBl757DJGoYvf+ujjGOsjXL9rW6xNdM0E5kZRjEOgdJNd\nOmb80WTGMIwjGXmtsRrWxO6C4rJIMblIKYoCLVeEopuIJj6q+f3V8kVWtzSIySJ86T8fFaZpotls\nYjQawXVdDAYD5CMPcRRBUdVZ9axYRTT2UC/tPy2oEbcsa5/cikRPHvTm/AgvPoZhHJvoGYZxYWSa\n6uY1RK99w6m5pu3DgpwlQ1Wgx0B7MuteVra2E//OuQy5u3ZYkBiWSiUEQSBMPLhpP4g4pjtrJDN0\nbU1HG6iqKmSalLDIOEiCCSSNSY5y3rDazU03IxiAZLeOJE6WbS76ntOzc3LHzzRN+L4vTGNIoPnv\naUKTJsLyc1erVfi+v1LHTg6FZ67hYdfcdLeO64Cu60u7a3Eco9frIQxDbBYN/NALnrSQhJ+mDBNA\n5pqxijkKu7jHmQe3LEucV+uw8jWOAroQL5NsjkYjIdk86eIrALEWfeJzO/j1j92EExmZngP3Pncj\nMe8PHOzYexbYdQP8q78Y4onWCGbFBODhE7supp6DnZYP1QA+7bTFqE1jz9mTcF0XzWZTFL/DMESh\nUIBt2/B9X8jzKescj8dnX5C+Q7AmdhcUl6Vjl16kVN3A9VoB//BFd6OkBsLtDoDYgEVRJDYD/DP/\nWwZFURIkL4sAapq2cLFmh4Tdu5c1fXzqs230CltQjdkif/dGFd/7wrtgRn7CrS0IAvT7fUHYKLmT\nDS0oK0v/x9eWu3nHkVORpDAYlEYUw+EQo9HozNw0z8o1ja8lE0nk8sAjDwGDLtwwQhjHyDU3YX3T\ndyUetyhTblUEQZAghpyjYLfuIOKYDhnPkk/K5CKfz2MwGCQkmWnYtr1Ugun7viD7R7WWTmdBqqoq\nXpNzcDKJW6Vbx9k5Vs4Hg4HocsrEjJEViySYMrElOSYJpOxU1/UDN22e5+0LhT/K95V2w2QBa9lz\nkdQxpBlYXsTj/U6b2B22YydHHhyH2LGqvyZ2axwXlGzKhRbZZVOOWZGD0U9ir9X2I/ziXwywMxxD\nyxWQ5TlwrWTiZ77m82aGc3vz/udpOEfceLCN1liBZuZFB77lBgAsaFYRcRQimoyxY5v4zb9s4b4X\n3i0Kf8C8oFUoFEQBncXmfr+PUqkkZiapPloTu9PBmthdUFyWGbuDFinOClGuuOjCnUX4ZNLHgMtV\n5srSBDCL/NWjKbT3/CJe1/Pwvie/GHaxiW1Twb2Dx7D99g6UWgPuS++BYxVErksWYaNDFKuArBoC\ns4WOxgBpIxZVVROPO8qmiJky+Xw+U6ZpWVam4cRlhUwko9YO4jf9M4RxDDuIoEBBSU9+hzLBOeqG\nkQPlxWJRVH/luIRlxDHdieNvJMsnSS6UfgelP/492J0WHKsA7Ru+GbUvfPa+9zOZTMTcXVYQeZog\nHaUizWKM7ICZ7tbJJC5tLJMFeTNVqVQS0lS6g5LcGoaRiKxIf6+cLyWxnUwmglzz9Q/63DRdWfQa\nq4IbRcMwxDnMKvayWb3hcLjP5n/RGhBFkci4PK1iTRax4+3L5pROwkCFElZK2M7bGGqNqwUGaJdK\nJYRhKGbl+f+DJJvj8Vhk1R2EGw+20ZpoUIw5ScsyRrlWMs/FKGUZOJoyI6RJaMUqQqePKJggCgPc\nbncB3I18Pi+cneM4FsYp7NIx047RBxyLsW0bhmGs5denhDWxu6C4LB074OBFitWzgyq/q8igFnX8\n0rcdRACjd78NuL2DuxTg+z77foRxDE1RUNE1QFMRA8g//ClYP/hTsK1CghyQ2MkVQG5s5YsDLyg0\nbyHR43/yRYWDx3z8YX93Wabpuq7I/aK07aK4aZ4YHrgB9NqYRrNjqqCp0Afd2e2ved2JxBtwVoMy\nH0oo2aU6qDMmSwlN00xIMDmbNBqNEHVaqL3rXyFo72JISentx4D73jibW9xDWoKZda64risy7Y5K\n6FmE4WuSvNFWvNfrZXbrisXiwuOWs3Plclkc/zRMSQeVj0ajhRJM2p1rmiYUAAfJUrPA3+a486lZ\npik0c1lG1Gg+IH/Xi0ibHNZ8WljkigksJ20nQewAJKS4FyrWZY0rBUro8/m8kGzyWi5LNjl2wazF\nXq+HXC53YBFINkZJ3H6OxiirYtHsXxyFQBxD0QzE0zECZ4Byc65woEM0gAR54/6Gew+6Y7LQThOV\no8yAr7Eca2J3QXFZZuwOg5MgFUchgHLHj+Rvag8QAjBVFUVdxTAI4YcRRkEIiwYdrR1o/+E9qO8R\nBYIELKsCKHfl0np+edg7juMEyZMzeoB5lZFEb9Xvjl0Lhp7LMk059PyyH1eMVchpKgxVEfa+vN3z\nPGGZf9SNu9yt41wAw3Hlf88K/pYDtdmhovEIHy/IxR/+DqxuC6MwQowYFV2D2d0VJFV+P8skmLKj\n5FHJLIsVnP2Tnc8WdetkY5ksyJl1uVwu0zCFf+d5kCXBzOqypaMRVoHjOOL9HHdTwcJMWoa5jJww\nAkEuPLALmwUSu9PsvC8jdgeZpxx0n1XAjeCa2K1xVlgk2eQ1mcoXnge8xlcqFfGYdIZvzsg+h8/b\nGGUVZM3+bRZ0RJGKnXYH8Z6KbKug4xXPnmXaySHmQNJEheqhZrOZ6NrJJiqcp74yBecLgjWxu6C4\nTB27i4iDCGB0/W7Ejz0k/l4zdPhqBC21wJAoLFp40hVAuZtH10x2I0gKKL2Uuyo0YmFXj3p1VvTl\n2bxVhr7TMk3HcTAej+E4DhzHScg0o9bO/8/eu4dJk9Vlgm+cuOQ9s6qy6vvqa2mUy4DC84jLxXUd\nRkWYXtSRVhSwaUFBoFdXHKDBkZFHBxAvq6iz9M6M2gKCnyIIgizeFh2doVlccKAfVKBvdPd3qVtW\nXioz4x5x9o/I36kTkZFZWVWZlZn1xfs8+VRWZlZUZmTEifOe9/d737MzQZkSyCUTQOw7U1bWYvlt\naeWKk4C+Q1VVY2REzmtLEj1CEASCrJCRR7JfTCYXJWswwddVGEwRCwtyJuBRJZhA3MTlpCV7shMm\n9U0FQSAWGqjPlEicbCyTNlbJmXVEYGQVcxzpS24vqbIloxEmgRw7kYxHOC7o/Ka+ETm77ihyQu59\n5Go7To2bdX8dMJrYTVqKeVR/9FHIYg8yzBs0xgGH12Mic4QwDNFut5HP52GyPN76X6/FMnw3ihrW\nCyoa1uH5sAjGKJNgVFsNALz/f+SxtbuHWk7DC5+yho2iJsqmC4UCHMeJlWOura1B13UxnyHVjogd\nGW6FYSiMVTJMDxmxW1BktcczRorLomylTzhOLpvcjF2pVIQFs1zuQRMXWY2jHhPZiIWUQHkFUTZi\nkYPSjyrR0nUdKysrwrnQNE3xXlinieLvvhP55m40MAPAQ19B+Pq3LTa5GxO3IOe3nZTgyGoc9ZzR\n/j4q+FsOGVdVFe12GwBELlCSXLDVuiCpOekYpGNvkhLMtD6z44KOMbro0v8Got7YUWodY2xkDyOV\nVRaLRVF6yBgTsQ8y6ZP77JLEKE1lo/LOSYks7UcqCT1tv1paGSbnfKKS52TP8SjSFoahUFBneT1I\nK7skYkch5eOcM09bikk9x3QMZmHlGeYJuh5rmoZmszn0vG3buPsfHsX1FgfTD5X0PdPHNz+mjKdo\nbKGMUSbFqLaaN33bY2FZG6I3Gjg0TCKiRv3YtDCt67pQ7arVqnCEpgUtwzDgOA4sy8qI3ZSREbsF\nRKbWzR6pLotfvR84aB2+aHX9VLlsSQtmmajJ0QiykQr118lKIHDouJlG9Ci0mIjHqAlrskzTNE04\nn/gQOlvX0B30F+ZVFpGlRBngomFU3EK4ug6z0TgyJHscaB9TKS0ZechqG6lOSVIdU+IGLpqkMhmG\nITLtyJBH0zSEI0gqf/YtCO9+Jw52tuEWysh970tQ2Ewn2zLRPKkKRWqdpmlCrSQTlVwuh729vSG1\nDojISdpYlSSbRHBJ3ZN7EGmlN02R9DxPNOiTykZle6qqTvw993q9oVD402DSMsxkudZzvjaPj3/+\nCg7cEDdthmMnfvJC0CwxTrE7C2IHRPsxI3aLiWWs6pgGfN8fOb70wxZ4aCMM/FhPneUF+Nlvf8xZ\nvcUzg2zSBsSdcCmvjsYLGmuBwzGMeqYpx84wDHS7XZEJPGsX7xsJ2Z5cQCyLI+ayY8hl8dd+Fn7I\noSqDic6UM27k0ksiammBqjJJowkOlXvJBi7UE5B03JSNWNIcN+UyTcuzYKoMdhCCSR9XLgNcVKTF\nLXSkOIKTnj9EcOS8Nlq9HecAmVTiqMxQ0zTxWjnugL7LNJLKn30L8L53wdm5jr7rQ4GCyu5VhHe+\nfWhCJZcznnTlU87no/FH7q1LxhkkYyCSSKqMsqMohdimxUgkzQmS4e6app3I+ZPKkEcFuh8XQRDE\nsurofCaXXMJ2z8XP//WVWLnW333pKjzXhVoo4wH7YMgOXcas8+sIkxC7NEyrxw6IiF2324XjOJmh\nwgIh3NsG/42fA/a24YUcmgIoy1DVMQWMG08vrNXw5YPhsWcZ+ulOikqlgmttEx+8dwe22sV6rYTb\nn7aO9UIBu7u7AA4dpIFo3KJrJpVjdjodkfkquyqftG0iwzAyYreAoIlVVoo5O5BLJfXJuH9wN9zr\n18HBsapryKkK0NybmXIlE7WkOxepeQBS1TzgsOeOHDfHGbHQZJNu8sQ5V9+AoWsINQ6W6FVbNhC5\nJaX0JKCeClpRbCTUP3IAozJLQlKJo9cmVaZk3AEhSVLDu9+JcHcLB140FlR1Fer+Tux4DPe2wT/6\n+2hfvwZeWUHph14JoH6iz51U68i1jBYJDg4OUtW6UY3vsqlJmuqZ7LsbVYIpRxvQd9rr9URp7CRG\nG2EYHlnKelwks+voXEtOBC/f24iZEfAggOe6UBgTJVxpdugEGgdmHVmS9h3Kjx1F7E7bYwccjome\n52WtCIuEj10G9rYRco5914MCBca1q8h98D3Iv+aNM1eTFxWLGjQ+S+z0PfzGPxzg6k4fah5grUAs\nTJVKJTQaDXHtBA6VPHK/JBMV6qvL5/OwLAuapp2q2iRDHBmxW0DQRTRT7KYD6lPxfT9G5mQErX0w\nBdCV+D4/C+Uq6c5F6gmRvLSsHbm3LqkGUu4V3ejzUgkFDbyGYUB7wUuBh74CltKrtiygMqHO9esI\ny1VUXvQjUJSNE21LVutkG39VVYXCqqrqkEpFShy5MzabTdHLpet6jFxMkpvG200oioKiyuCGHIWE\noQqtonevX0MYBJE7aOPaiVbR5V655AQ+rbfO933Ytj2yty6ZWUc9j2SYYpqmKIlkjI0swSRXV5kI\ny9Eik67wJgPgp4FJyzBbpgceBuBhAKYZCNyIACqaAR74ULToHE6zQ6fcTl3XZ34tOKlipyiKWASY\nBnK5nBj/srDyxYAYcziQY9F45IQhnL1d9Pf3hTGYbPB1I2BRg8Znicv3NrBjhlAL5SgGAYcLUz/x\n9FWRy0rE/S187QAAIABJREFUTu6dJTJHJiqFQiFWyp2ZqEwPGbFbQGSK3ckhkzda+U1bTaawX13X\nI2OCm24Cu/bg0OvmoVzRyjWpcbIBi9xbR2qKbMACQLjy0SSTjFhkRY/6+xSFQXvFG6D/1Z9A73WQ\nq28IUhfe/c6F76kggmNtX4fn+TAYQ/6EBMeyLEE4NE1Du92OlRqOijdwHCemxPX7/aFeLuonKxaL\nE6lM5PpZ1FQUE48DiMo2d7dghVE4e0VTT9wbSWRW1/WYuxkdR6RaTqrWkUFJuVwG5zxmmCJHFlQq\nFdF3lyS7SWdRek42P5lkfKSJBsVOTANyYDgZAFDOX/I91XIK/H4HarEKHgYIPQcKY+CBD2iHE8C0\n8q2zyK8jnJTYAdF44/v+VMLFDcMQDr4ZsVsM0FikMQWrRlQK7XEOf+MCPMMYagWQe75lp8nziEUM\nGp8lRE6fZoBLizkty0M+n0exWBSGWZTVSqX3pmlidXVVqHaO44i5C11DM2I3HWTEbgFBq5+ZLD0a\nnHOhRMlELm0CQkSJSFzaCnj4/S8Df/j+VJfFeSIta0c2UZFLLuWSTbkReZwRi+d58Cor8H7gFeL/\naZ02jN/6FRjNPWhswZ0yBwSn60fkfRoEp1QqxcgLqUppfWzJMj/Zgp9UJnIhpXKTiTDG9RM4VPTW\nDQ1uyEXkw3EVZgqJlfPqAAilMqnWJUPbk5D7CuXeOep5bLfbYtvkNppWgpkWIC5ve5JJf1ru3TSQ\nVOtGlWH6vo/vfqyKf3xYRYupCB0T4FHJcxAcVgxsFLXU8i25T2XWGJVZNymxA+JmCicFLVC5rjsV\nophhCkiMRYqiwLhwCbkXvwJsbU20NcgLh6OI3jhzrwyLDznEXJHG09WCLnr3KT+YlHxyzXRdV2S5\nFgoF2LYtyL8c9ZQZJ50e2Rm2gMgUuzgmKaUEIEpCZBKnadpEk4NRLouLRmRoBbRUKomsnaRbZrfb\nFTl5aQHnSSMWmSx6ngfnTz8Ae/s6AGAjp0ekYUGdMong1DQVHufQ2ckIjhxozhiLkRdy+QIwZOog\nl/nJOWzValWULRK5OE5u2lHHI62iM0VBXj15byQRt2TILC0o7A9KrSZR6+T4gmq1GutXLBaLIhdK\nVVWRiZdWgpkWbZDc9iT7MY0cTgNy2SWdg7S/CL7vo9lsop5X8TPf8bX4xCM+ru+YyLEiHmpaODiM\nxhpJms4iv05GktxPqtjJUQmnvWbRGJ6FlS8OjhyLpFJMAKLnW85kTRI9uXQzI3rLg6P6CguFAkzT\nhGEY2O17+OgXrsNWOygxD//m63IoFk2Uy2Xk83k0m01BAOlaSX+b4XTIzqgFxI3cY0duczKJG1dK\nmVTjToM0l8VFRjL7ji6gRPAos45y7ygcnfYT9aaxdhOFlTUUbr0dyoWLsD0LrqbC5zwW/r2ITplE\ncHIqQy7x+KRIEjciEFRySeYech8jMFzmJztekoU/GapQr91xMPZ4PELRm/RzU99lEtQHkVTryJwm\nrWRG7qWjUlYgUjJlJ0t5HyeDyNOiDZLbnuTCn0YOpwEqw6TJKe0jObvO8zwRcwEAj1kt4cfrDN2u\nhv/0/17FgRuN71TK1LCCIfMUGveSZkezRBqxI4wjdkTmKMj+tCBL9IzYLQ6Oc21M9nwniR71W9EC\nCS30kHqTEb3FxVF9hbTwfL1t4jf/oYOtVg96mYGHIb58bR9v+lcMT61URPSBZVkolUpR4Ltpin70\nG3HuO01kZ9AC4kZQ7NJKKX3fT23Cn6SU8qRIZkwlm5/pfVLg5iL3C8jvj5SEtN48TdOgHbRg/NYv\nw9iPB5Pj9W+LnDK14WNvIZ0yp0Bw5ABymoRomibKStLCyOUyv1qtJvJ9ZKOPaeemyZiGwkxRDpQf\nJoMMYGS1Lkl4ZdBCAvXSJYlYr9cTpJd6X4kAE9KiDQDE9u0kpazJ2IlplvMd5YaZJHVAdL6Rjf+B\nHY3toe+ChYdVB0nzlLPsryMoipIaUH6UMco0Iw+Aw32bPCYzLCdGET2Z7AVBkEr00vpWM8wXR/UV\nFgoFfOTTV7F94EHNReOiwhgaJsOH/7GBJ2yuxaIPKAeVcy5aA6Z9vbzRkBG7BcR5W7EIwzCVxKX1\nc5CiJJO5WfVZpGVMfWW3j5/9tk2sGRAmI5xzaJqGev1kVvLzQFLNowupqGX/6B+gf/0adEVBPTeY\nPFK55RTI0lnhtAQnqdZRv5xcekiqlbySLJf5aZom7Pypl2vauWlpOI3CLKt1pNTQz3w+D9u2Y2od\nHT+qqg6pKMnMOsolIiImu2Tm83l0Op3U/ZIWbUCP07aPdBMdvBdSSae9+i+XYVKvKpmoyIYvMkSk\niutitZwHbzpRv13xkKQmzVPOKr9OhtxnR6TuuD1204DspEcLahnOD9KIntxjRQs/MtEbl8uaYbGQ\nz+fRsX1w34WSPyRozMijY0cmKfV6Hfl8Xix4USuDbduiPzvDyZERuwVDGIaCSCwjJi2lpIZqWYU7\n688sZ0yFnovA6eNKJ8B7P23ijmddjL02DEOhYDDGxE+60WeiGz2/KKCLYrlcjuztHROOyqAlSDNv\nN6EuSb8h4TQEh1QrmqiTwlYoFETNP2MsVs6XLPMjkke5PLPITZs2bNsWpX5kVEEoFototVqx/L5R\njqBAtA+TUQ/0WtkwpVwuC4OaJElLizagbcvfyVGYpUpKSgMRD/os9L5UVUW9Xkez2Yw51xLJL5VK\neOFT8vjKtQZ2wxAY7PK07CvXdcVC11lBVt6OQ+zkHrtpgVRkx3EyYnfOkTQIo3JnmejJJmEZ0Vts\nMMZQr5bA96yI3A3yOpmmY7XMxPdKqp1lWcLwjRyGyTEzw8kwlZn0F77wBbznPe9BGIZ47nOfi+/7\nvu+LPe95Hu666y489NBDqFQqeN3rXocLFy5M41+fOyySIyZljYxC0pFyklJKKrNYhMGYrHsBgOkG\nFFVD6DnoesOTmDAMTzRxkYmeTAaT95NEcZbfv6qqKG5cQOGh4dOfyi2Xrd/wJAjDMOaESWWAydJD\ncsYE4mV+ZBCStNOfRW7atEGfm5zL6HgjExVyriT1US5PlSG7gFar1Zh7aLFYjDlZUi5bsgRzVLRB\nMhrhKMxaJSUVk8yI0tww5X1VLpdFn+Hq6ipqtRqC7W38+LM28Ikva/BLeVzaqA6Vf3uehzAMYRjG\nXK4DROLmpdgB0XFIq/nT7JHMsPhIxvXIuaxURSMTPZpbkFHYIi2o3qh42bO+Bvdtd9BwbLABsdss\n6/jhZ14CAgumaaJWq4noA9/3o9ipQS+3aZoZsTsFTk3swjDE7/7u7+Itb3kL6vU63vzmN+OZz3wm\nHvOYx4jX/M3f/A1KpRLe9a534Z577sHly5fx+te//rT/+lxiEfrrLMsSEyQygUhzpUwrpUwqcLMs\npTwtZOteIKoDV3MFXLpYRb1eF+YYlD9WLpcFwaN68ORPui//nubgOQkmUQTTFMSJ9vettwP3/RPQ\nakg7ZH0hyy1nBVLrCoWCOK5pckD9ibKtf7LMjzE25Hg5i9y0acO2bfFZ6dgklYb6HuTeOpn8JiFn\n1sn7gwxTSOnL5XJiTEnuFznjT76Yd7tdQTCPUm3OQiWl/rp8Pj8yu07uQ8zn84IYVSoV2LaNbreL\nr1kt46ees45yuZx6jMyjDBMYjjw4iXnKtCBP8oIgWIiFwAzzQRrRk0s3aT4iEz0KSs+I3nzw2LUK\nfvrbH4M//mIDjqGjXi7g9qet42JJx96eIxYPZdWuUqmI64Su69l5fwqcmtg98MAD2NzcxMWLUena\nt37rt+Kzn/1sjNh97nOfw4te9CIAwLd8y7fg3e9+d5ZRMwK06jnLwWiUYYht2yJcGYgu2I1GI5WY\npJVSqqq6VN/pOOte+myVSkVM8hVFOVG5aJLopZG/UUTxJKQwTR1MKoLcsoAwBAtDaIoCpijAEn13\npwWpdURgqHyQlKG00sNkmV+z2RR9dskeK1l5WjQQUaPeORqLjUHY8KRqnWVZIp+vVCqJYFoyTCHl\nUo5SSJIuuaxVVuXkaIRJFJtZq6TUB0T9QfQ9y/9Ljswg8sc5FxPMnZ0d4RxJ42ca5k3s5KqR4yh2\n0zJPIeRyOZimCdd1F1b5znD2SPaPjyJ6BCJ6dFvUcfm84WvXa7jjWSpKpVJsbC8UCuj3+8IFU1EU\nOI4jrjlURWKa5uS5rxliODWxazabMVOJer2O+++/f+RraAW82+0u7Ir2PEEX1VmtVKQZhnxpq4M7\nv3kVq4l5hKweJlW487CScpR1LzBc/38SyMTquJhEERxFFMeRwvCP3we+E5mjVDUVRU0FmnsLmVU3\nC/T7fbFiSKpsPp+HruuwLGuorytZ5kcTTtlOn6INyuXywmbx0ARI1/Wh46NQKODg4CBVrUuSq6Rb\nqNyPWKlUYk6WRBCTJZij3CuT0QhHLRadhUpKJI3GAdu2Y9l18numyQjtu2KxCNd1cXBwMJbQ0Xao\nv+6se8vSFLt5lWICh8TOtu2M2GUYiSTRC4IgVrpJRI/MomjRNo3opZVXZzgZqMzStu1UYkfjNlWO\n2LYtqjbIRGWS8T/DMBbOoeOTn/wkPvnJTwIAfvmXfxnr6+tH/MX5Ag06q6urYnDRNG1q++Guz31F\nkDoeBgjsPq51XHz0S8Cdz3nC0OvX19cXdpI6DayvA7/0daOte5cZaYog3Zq+A0dVEYJDY1J4eb+L\ntRmcc9M8hk8LMvjJ5/PY2NjA3t4eDMPAhQsXoKoqdnd3sba2Jo79MAyxt7eHtbU1rK6uQtd17O3t\noV6vY309Une73S7K5TJ0Xcf6+vrCXoz29/exthbZTVM4OZGIXC4nFLJkwPjGxkZsO51OR/RIrK6u\notFoYG1tDbVaDaVSSfxOZTalUgkbGxtiQYhzjr29PdF7Jpd50qJfLpc70omW+vbk72sW6PV64vvn\nnGN1dRXFYhErKyviPa+srIj9QeqBpmm4cOECdnd3cenSJXDOBflcWVmJuX8CEJPRST77tKHrOvr9\nPtbW1gRhNU0TqqqKzz4KVJo/zXOccy4m3fV6fWHPqWXBIo3BZwky4yAzHrlk2Pf9WLRCuVwWJmm1\nWm1pTewWBWSIQqXptFBTr9fFYhEtpnY6HTHGdLtdVCoVlMvlmcyDzztOfdSura1hf39f/E4Th7TX\n1Ot1YYU9SmJ93vOeh+c973nid7IRv1HQbreFzS+t+K6vr09tP2y3euK+wlRoxWq02gwjNvkPgiBy\nT7Ssmdm1Z5gf8mt15PRh1dUvVWZyzk3zGD4tDg4OYJomSqUSrly5gn6/j2KxiHa7jV6vh16vh3w+\nL8rt6JwkRa/ZbMLzPFQqFXQ6HbiuKyYD9Xo9Nh4uEjzPw/7+PjRNQ7/fh+M4IlqlUqlgd3cXQHQB\ndV0X+/v78DwPKysrse+OtsMYg6ZpuHLlCjqdjlgF39/fx8HBATRNExEGtVoNrVZLbIO+A5pQ0Up5\nEATif9Xr9SOPGXKgLJVKqVED0wDnHEEQoNVqQdd1tFotUcJKrr/0Pql8nY6ZarWKRqMhPi/tb8Mw\n0Gg0hogdHX/Uo3iW6Ha76Pf7CIJATKZarRaazSaKxeLYHrp2uy0MEKZJwHq9njhOMzOF02GRxuB5\ngRaW5OifUcf11tYWSqWSUI2OyrzNMAwibP1+XyyK0fhJyOVyCMMQnU5HEG3XdcVYSHwiO36Bm26a\nTIQ4NbF7whOegK2tLbHK/elPfxo/9VM/FXvNM57xDPzt3/4tnvSkJ+Ezn/kMnvrUp2arbyMw61LM\npGEIEJXc1MuF7MJ5I2FEVh1/9i0I737nUsQcnARyxlo+nxeEjGIgqO+OFp6SZX7Ug0p9dnKGW7Va\nXegV3qSRCblhkmOl3Ftn27b4nMkyZNmkBECsBFEu0WSMwXXdoagC27aHwtwJcjnrUfsyGTsxK8jR\nA+TQp6qqGC8p67BUKkFVVVFWRCVitA3P81AoRONsqVRKLV2cV38dkO7EPGn/nOxkOs1zgHoVM/vz\nDNOCqqqx0k0yhSNVTz4v+/1+5D2g5PBL9+zFWljua1h463NvzsjdGMhZdbSoVavV0Gw2BaEm46x8\nPg/LskRPZK/Xy7IsT4hTj8CqquKVr3wl3vGOdyAMQzznOc/BzTffjD/6oz/CE57wBDzzmc/Ed37n\nd+Kuu+7Ca1/7WpTLZbzuda+bxns/l5i1eco4w5AMNw7Sgr35s28B3vcu8AHZ4wDw0FcQvv5t54bc\nEemQSxHJ0ZFIBU3QZbv9arUK3/djPWFAPFR7Ufsywr1t+B95P8yt61Brq/Be8ENAqSpK3fL5fMxI\nBjjcT0knTJnYUk+ebJhCDpe06irvK2B0tAEAUfo5SUDtqP68WUAO0E324JD1upx1SL08pVIJiqLE\nJotkvgIMj/HkPnxUH96skOyxA45P7GbRZwccOpJmyDBtUBwTlQ0mEQQBfu+zX8WVHRtavgxlsOi+\n3fNw+d4G7vyX57OVYxqgPmTTNEVJvqqqWFlZQbPZFFViZHpFC46qqoprsGVZGbE7JqaytPb0pz8d\nT3/602OPveQlLxH3DcPAG97whmn8q3OPIAhmmmM2iWFIhhsDlFVHJWXe3b+OYOsafA5UtMExuLd9\nbgxVyBKbMYZcLifKCUulUmyCTqRCtuGnEkMgInmqqo4M1V4khHvb4L/xc+hdvwoEIXIqg/nIA8CP\n3Qm2fkFcPGW1TnZ3lFUSyqwDon0gG6RUKhW4rgvLsqAoiliNpX1FGBVtkDQfGTf+ybETZ6GSUhlu\nLpcT7qmkYiZNXsIwFPtANt4hdZSMqNJA5Z3z6mlOI3b03R1F2GZF7KhsNVu5zzBr+L4v+l/JOIhu\njt6HVtCHnKNblpe2qQwSCoVCjNgBUV9dtVpFp9NBEARQFEWodrKJCil4mTvm8bC4dUM3IMh9bNaO\nk5tlI1tluoFAPUIUIO/tXIf/8Q8gaLcQVmoIb/l+sPoGgp1twI8m5CWNgY5C3m7O781PEbIKlYwz\nkCfojDHhekkXlW63G1PmliXaAB+7DOxtI+SIIi04gP1dhH/5Eag//OPi4jlJbh2RqVKpBE3TBMmh\nfUj7g8oRkyWYVDqZdqHu9XoiruCokjs5diLZozZtkNpGkQ30uTRNiymM9D7IbVUOtSeHPupBHAWK\nmZlXyeE4xW5SYjeLvkAidrQPM2SYBcZVXNQrBSj7wyRutZAdj0eBDAHJUIrGwEKhgGsdE5c/exWO\nYWK1qONfb6rQ3T4KhUIsfoUqJTJMhozYLRBolXthJ4kZFhJE3IIgENl38n15Uhbu74H/zq8C+5FR\nhgIF6qMPQvuJNyO/vgH2yH1QFQXyEaisrGHZ4Xme6JXTNA3dblf0WiQn6L7vo9vtijI/x3GGesJG\nKU+LBiLlq4YGLwzRdANwDijdTpRnOFhMOkqts21bBLaXy2VYliUm2sViEf1+H77vgzEG3/eHSjDH\nlU56njfU2zgKydiJWYOMrPL5PNrtNoDDCaC8OABE5yGRZCJ65MAahqHoHRmFefbXyZDJWTLbbhRm\npdgBEdElE5WjSnQzZJgFshaW06FQKIiqGBrftnsufvXv27i6Y4PlVTBVwz9fsfDqpxgoua4w1qLr\nb4bJkRG7BcJZhJNnWE4QcRt1GwdN08AYg6qq4P/1TxG0GmAqQ1lTIxWn14Lyd58AXvJK8OsPDxmq\n4NbbZ/vhzgCkyJVKpaFsNnmCzjkXvXYUpk1ujtVqFYyxscrTokFZWQNN092Qg4Mj5BxabVXkBZFa\nxzkfIitAvEyyWq0OlU3KJZpECuQgcnmfVqvVIdVF3ta4aoUwDGPGLWeRpUk9N1QiRD1ypmnGwsgB\nCNfLQqEQc98DDgnSqEUAyq8jp9F5IE2xo1K0SYndUWPRSUC5qaSeZtfHDGeNrIXldCATFXIKVhQF\nl+9tYLvnQS1UgMGY0/BU/MXDFm57ctQuQb3avu/HnDQzjEdG7BYIciB4hvkjHPSXnYVDZJrSRvep\nB2oUqNFYvjHGxGSMQlodx4HXaABhCF1RIlI3AG83oaYYqiyzKyZ9f87+Hmy9APW7fxBKrSaUJqr9\nlyfo3W435nrZarXEZD2fz5+pacdUMHA/5btbMIMozxD1DSjPf2GqWhcEgQjuJSTLJJOGKa1WSxyf\n1CMml0hSGWta6WRS+RuHg4MD8T7OwqiGrNCpFJACyhVFiYWzA9Hnlk1TCLZtIwgCqKo6FIYsgwjk\nPNW6UcQOmK9iBxyGlTuOs7AmRRnON7IWlpODTLrIZbpQKKBlRuqnIo2JTDPQD6N5sO/7Yi7j+75Y\nkM1wNDJit0CgC2q2Ijl/kOkEpuQQKWcDpt3GETdyySPVTVbgVFWN+uYG5I2s1n3fH9qOoijIrdbB\nVAY9QUio3JIMVZYd8vfXc33wMER5+1F0f+xOoLYm7OblCbrruqIksFarwbIsUX5ISpWs5i1Dvw+5\nn9ofei+C3R2E5Sq07/pB5C89Bo7jpKp1sgqZLJNMGqZQiSaZgyRLJOVoAwrzJoRhGFMCxyEZO3EW\nkMswibQVCgX0ej1BbOkYIAKXy+WE4kYqnOu6yOfzC91fB0xHsZsVsTMMIyN2C4qzXADNsLwoFAqw\nLAuWZaFQKKRGbwHARq2KQkEVJipysDkRvQzjkRG7BULWY7cYCIIA7od/D97WNWBgCc85R3GMQ6Qc\nVpymvh1F3IisaZomBi+6L0+4ZPWN8nfStk0EkMqYdF2HpmkIX/oq8J1Hz2W5ZQwD0xA/5PBCDk1R\nwBs78D/xIeR/9LVCnaMJuqZpIvyUiINsjkLmIKQ8LVOvD9vYhPXiV4F5HhCGYFKJJKl1pmkKYiIT\n1mTpY6fTEb+T6QznXBAAuURSNpihMlYZtP+LxeJYkizHTpylUQ2paGSDTudUu90W2YeENMMZUvkA\niBy8UViE/ro0AxT6XkndHaVQz9I8BYgIr6IocBxn7PvIcLaY9gJohvMLMp2i0spRfYs/8s2PgdJv\nod+PTFRoTKEM0WW69s4LGbFbIGQ9dmcL3/dxrWPhD76wg2bXQjXH8H1PrmGjqMHf2oJle3DCEKuG\nhlVdgx9yBI09YDAJlm/jVqopBDqtZHLUChSZLlBQNLlapm3bMIwYeSOSmIa0/DoidecpmJxMQzSm\nYD2nIQg5On4AftBGuVyG7/swTVOQESrzI9dLytgplUqxBu5FjjYYBVJwKTxazpgjtS7ZdwhEPWOy\n+6RcNlkoFNDtdsXxT8YgcjmlbDCTDDmnaAQ5/20UaDv0XZwFaAGF3Nx0XReLAZR9SASW9m+yhFUm\nIWTbnwZS3Gk8mBfGKXaTEDs55mIW743OQ3dgrJBhATBYQAMA0w9ghxzs2lWof/Ru6K/4t2CMieoS\nup/hxgVdNyzLwmalMrJv8YAXRUA5tQBYlgXP8zJiNwEyYrdAyHrspg9yjJTJEf3c7bn4tU9dx27/\ncMXovu0Ofup/3kAtX4QCjqIaXYhaXkSqFKMANlAhCETcRilu4y5mVK5FZZSTqnByqOpxkSy3PI+r\nrrJpiKoosHmIgHPk1+owDAPtdltM0GWSUavVhDmKrusol8sIw1AoVclctmUABbETaKJOal2/3xe9\na6ScySpZpVIZKpukngc5d1MukUzGRcigHDra9rjzI/ldnBVk0xQKyNU0TThyypMLKtNM9gjK2Wvj\nFMlF6K8DxhO75ONpYIzNjNgB0XfhOA4cx8mI3YJAjsLxOeDSAmdjD+pgvJBBWY5phI/uy1UqGc4X\nZGJXLpdH9i0Wi0UUCgW0223oug7HcVAsFhEEgcgVzTAaGbFbIGSK3clBpZDybZTKBUT7+GP3ddHw\nVKgFAzwMwD0XDSvEnz1o4tUvuA1856qIBWCKAn39ItRbXwp9sFov3yZBkrzRe0yCVqdl8qbr+tQu\ndvR/af94f3g3/KtXUFQZitrgsyx7MPnANCTKcOPoByFQv4DKi34UruuKev1CoSCCx2u1mui7I6Ki\nKAra7XbMQGWZQD1epKppmgbP845U60iZKpVK0HU9Zpii67pQNMMwhK7rqFQqYpHB87xYXETyuJUN\na8b1S83TqIbIlqIo4r1Sbp8coE77V9O02LFB5znlko47bqi/blGJHT02KbGblXMl7R/6bjLMH/IC\nWlVXUdIYQg6EFzeBajXWWy7nqR4FIntJwpd8LCOAywXGmMgEdRxn5LioaZroZ6Zrj67r6Pf7ME1z\n6a7DZ42M2C0QZAOCDOmQ+9eSJC4NRLxkkkTqmq1Z0AqD3pAgAFcjgtcLGXKbN8F9zZvA/+Ij4Adt\nGGt1rN72KrCNTZFXNarkUe6FOysVLvn/5UByeg90P4mguQ9wjiDx9pY5mFwuOe3vbIMXyije+lIY\nlx4TC9ami0axWBSTd9kchQxUNE07M9OOaYJIm3zskVJJal0Yhsjn8+K4s21bEN9yuTxkmEIlmb7v\nD5VgHhVtQNEISYUvCVL1aDtnFQEQ7m3D/8j7YW9dh76yBufZ/xrhf/tLdBwTdq4I7XtehMLmoYo9\nKsw9ac09SX/dvFWoSUoxJ/n7WRE7KjensXVesRAZJEgLaEBUHaFe2ITygz8CNsLllhaEkoSPFgXo\nuUkJYJLwkeI3rtUhDdS7XigUsjnYDFEoFOA4DizLSiVovu/HFlPpekKEUNf17Pw/AtmeWRDQYLds\nZV6zgkxIZPI2jsDJxEh2jxwF2ZVJUVUog32/uV5FvV4H6nX4T/qGw/9tGLBNU0zmKMx6HircKPJ2\nVK6drDLS/mGXLkG9+sDQe1n2YHK2sYngFa+D02hABVBdX4/1iXHOBWmrVCro9XqxqAPf92PmH8u2\nOiwiLjxPnBNBEIgA7TS1LplRR6Yx9DsA0VtHi1AyQRsXbQBAkLVSqTT2wix/F0fFIEwLVJJsb10D\n/ACGymB9/jPgQQBTiUqUyzuPInzjO8A2NuF5njBVSU5QyCVTLslOA53DR41VZwUicWmPTaLYAbNz\nxgSNgdQyAAAgAElEQVQi8kv7PZvYzR+jerbHlfDLpGscRhG+5H1SvMchSfjk9gm5daLdbqPX66Hj\nM3z0ARMHbjRPoCDyy/c20DI98ViWY3d85PN5MMbgOI6IgpGhaRpKpRI6nY7wD6C5DcU4WZa18Bmy\n80Q2Mi4I6GJ4oxG7ZN+brC6lQSZt8u0kk+5Rrky3PLGKd95zXQzgL/3GOmpqVJJHpElRFOzs7KRO\ndug9kgpHzpTHhUze5NLJ45I3+X7afgpf+HLwRx44l06Z/X4/1k9Glv5U6w9EJZiyrX+tVospT+Vy\nee5lcieBnPsjqzGk1sm2/TRJpsy6XC4n+suIYBUKBaFwuq6LQqGAcrkcU/rGGcxQNAIpgaPgOI7o\nZTtTo5qBEYTOFBRUBgUKwjAAV4AQQI4x5Jp7okRZVuvk84oU+7RMwCQWwQ1TRpLYHUexk91QZ4Vc\nLoderwfHcTIThQXBrCJyiHwdReBHEb7kY/Jx6XkeOp2O6H+lygNFUWK994qqgRl5/NN2D4wx7Jmk\nIlq4r2Hhrc+9OSN3J0ChUEC/3xe9dmnPU3UHlWR6nod8Pg/btkXp+zJEDs0DGbFbEJz3qIM0A5NR\n5YmKoggyJJOkaTdVb5aNIVemW55YxV2f2cF2L3pvoefgiw9dw53fuomN0uEgQg5xpMLJsQLHeY9n\nRd7G4SSrrssAcr4kswuy9DcMA7ZtC5KTjDpQVTWmGJ2lace0EIahcFSVA+tJrQvDUJh+0OeTyW11\n0B8jq3eu64o8oVwuF4t9CMMwpm4mFzLSlMBR7zsZsXBWoNJjgzEYjKHtRpO4FU1FgIjY0euoiZ8x\nNtQnSG6YNLaNK7FcRGInL6odh9jNOvIAgBhnXdedWclnhuXCJG6b8mILVdfQAhX1XFPF1Ae+2MJ2\nx4aiakDgI7B62HZMKJoBNVeAwqIxabvn4fK9jSy0/AQ4itgBEG0AVFlC4xJlrnLOcfHixbN820uD\njNgtCM6DcYpMUpIGJuMIXLJ88ixLbJKuTO+85zq2um7Uc+aY4IGHHTvEhz/63/Ea5X7gf30hWH0D\nQDSBnSQs97TkLUncZuEadl6CyWUIdc7qIbz7fehcvwZUV4AX/BDcck2Qtk6nE4s6cF03ZtqxjCAn\nTD7IYQRGq3VEnmTipapqrP9Q13Xs7+/HnHvlEkzqiUiLNgAgHDRJCRwFip3I5/NnHkQtG0GEnMMO\nQzBFQV6NmzQoK2voSeXYyXNRNl5Zhvw6GbKym3TEXIRSTCDaV9T7moWV31gIw1C0rdCNjs3kY8mf\nSeRyudiii+/7aLVaaHVNIOBQVB1M06GoWnRjmiB1hJZ1dBlohmGQQuq67liX25WVFTSbTaiqKrJ7\nydV62VojzhIZsZszkjloNMk66xBWOUh3ktcmiRvdTxtAGWMxBU4mcouEIAiwvddE6HlQjQK0QrSS\nFDg2LDuHtX/8HIKdR8H/97cAaxuiNIBWtEcRt0UhbzcSKANQae+j8Hu/ie7WdfAggK4osB59EOw1\nb0L1Sd8A27ZjUQfLHm0AROcnOU/ScUTjCal1pMzRainFE+i6jmKxGDNMKZfLItPOtm2USqVYCea4\naAMAIhrhKMMUy7KEactcjGpuvR24/5+B5h6sIBqPC0nnvY1NhN97GyzLEvszCYo5OKqPlsYIXdcX\nZkEvjdil9d2N+9tZEzvKtMqI3WIhHDgpH1X1MQkRoxuAod+Pi6SLJvUG+74vFlbo8Ztuuglf+/gy\nrl41h0hcGlYLWSngSUGLqJZljSR2iqJgZWUFj+x18Ot/+UV0PeDihQ185yVA1x0RJ5MhjozYzRmM\nMezt7YlJkuM4sG0bq6urZzKxJ4dH0zQjw5DEc8eNEEgqcIs0adnuuUPNzwDw+5/fxW6zg5IaQOM+\nAAW+bSK0Tfh2F9z3UAu70BQAjV2En/gg+Mt/EpxztFqtc0PeJr0wLwNIfSr/zcehNHZgMAVeqCDg\nHNjfRfVvPwH29U+NlQ8yxkQf5TwUo2nBsixhqEPqmKzWUZRBsViEqqoi4gGAIFRyOSSVUZqmCcMw\noOu6KME8KtqAtkVOo+NMROSex3mMGWxjE8HNjwOae7AHxC4/yLFUaqvA138jcOvtsApl8F4PxWJx\n6H1SuRcppePKMBcl5kBG0hnzJKWYZ0HsFEWB67pnvgCaIR1kPBTubsEKwijy4Mv/CP6//QyUtY0Y\nYTtJqa6cfyeTM7qlPXZUHEKj0YBhGMjn88LQAwB+5FkVPHRwJdZ7v16IrtWHPXZRPz7NITIcH/l8\nHgcHB3AcZ2xZ9Z4V4D//k4tH90MEroMH+03cv83wmm+q4ZJpLm1VzSyREbs5gxqEiSy5rhsbZE6L\nNDKzWTYEoaMSKV3XRU/OJA6UsjnIJA6U88Z2z8XP/7U8WFv4p60uQs/BTrsLDC42a3kVJdfC/oEJ\n8GiCsu528fyH/hw7/uBvd7aHwlflgPJkWPkyTDzOU0i54ziH2WJm9D3lVQY35PCCAHnGkDe76HQ6\nsXy6uStGUwD1I5DbGE3IVVWN9dZRjh2AoZLLpGFKu90W5dSGYYgLqWwwQ/EQSZALqaZpY90t6bso\nlUrzJTp25JK7YmhwghA6i85d7ebHIXzVnZEaurcHYDjiADgsraSxcByxW5Rg8jSchNgRaZ81saPy\nVnJ8XcT9d8NhYDzEAXT9wbxhZwvKn34A7KV3iJfJ6hn9LpMw+WeStE0TnHOsrKyktn2k9d7HXDGl\nxzLjlJNDUZTYdXfU9eHyvQ3s2oBe2wC6TXDPRkMt4RP3tfHkx9qoVCoLPfecBzJitwCQiR2Aqdl7\np5GZr+yZ+Jn/pY6y4sUuwOQSlXxf03KgnDcu39sQ+4FzjtC1sd21wEVDbojQdbDTc/CNl8r4F+sb\nOLh6HavtLbzwyn/Dut+BpihQFQXa+gaMgcKzTOSNkFb2EnzovQi3roEDKC15SDmpT+VyWfRN2UEI\nMwjAFAVVXYVdrAiHxmq1GlOMSL1bRpDNvu/7yOVysRJMxlgsboD6FojMViqVIcMUer7f76NSqcRK\nMOVogzSSI29rXFxEv98XZaDzNqqh40VVFBS1Q3VRXVtHiEM1NJ/Pp6qPtPpMZHpcv/Ci9dcBoxU7\n+bFROCvFDkAs5HiR9t+NCjIeYgCqmgqmKFAAMM+GvrGxcPm8tKA+Csnee0JmlDJdFAoFWJYFy7JG\nzntbZjRvU3MFhG4BfhgAHOgHijCxOqtInGVBRuwWAKSWAYdNpdNAjMyEIULXxtWujff/f33c8axh\nNyHKllpmAjcKNDgAAPc9gHMomgGFhwiDAPAGjzEVtufjzu98DJR2Efx3/gRw2yipKiq6CmxsQnnJ\nK0eGr54VRvUpJEteJm0kD3Z3AD8iPiVpQrtsIeWy2pTP5xHeejvCB7+Mg2tXAUSTDr6+iYPv+B4o\ngCgflBWjeQdFnwbk/MkYE98zYwzFYhFBEIjesFKpNDKzjtQ7TdOwv78veiDkTLmjog0AxAxaRo1p\nnufFjGrmPuYkApcBABubKN32GrSk3L9RRNZ1XVEBMW4cJ1c+slhfFKQRO/p9koDypKvmrEDnqOM4\nWZ7VAoAWRJTEgohSXwdbwj7lDGcDchX3PG9kv5ycN8yMAtQwROi7aHkG/o+/u4J6rYlXf9uTMvVU\nQkbsFgDyytE0Vx5kMgNFAdNzUFQNJjPERI9udNFe1r6ioxAbHHQD0NMHAR6G+LrHlnHhwgUoFy/C\nfePb4X/0MqxmA6XNS1C//2VTK02clIiNIm0nwahSGGxcAB65D2yJQ8p5ysSbbWyi9WNvBP/TD6Bg\ndlHYvITmt303lOqqKPtbJMXoNKDSNFLrqBwzTa0jZ0x6bT6fF43sZJjS7/dFWevKyopQ3Y6KNgAQ\nM18ZNfHmnIv3VK1WFyJwelT0BwCY/+VX4O7sIL9Wh3rbq6KsRwlUWkk4itgd9Zp5IBlZcJxSTPr7\nWebYEagVgI73RTh2bmiMWBA5D1moGWaLYrGIg4MDWJaVSuzkvGGm5xA4JjRdR9NR0HRcoOXhEfNB\n/MLzn5CRuwGy0XABQAcz1RxPCzKZURQFUFUoqooLK9WhHiIyWzivSAsjXy+oCAE0rcOJyIWygZc/\nYxO6rkfudpUV2C/6saiHaATpHuXuNYmidhIQOUs2jCfvp/UqjEL44leAX/vqUl+YLcsSpYG0om9Z\nFrxyDfrLfgKr6+uRW2S3K0jcwilGp4Cc9UOZdaPUujSnSlm9I+fMXq+HcrmMUqkkxilSN0dFGwBx\n85VRJVhyVuAildIkoz/CvW20/8O/Rf/RhwHOUbyigW8/OtR/KsccAMvZX5dWdknq73GI3VlkzOVy\nOXieB8dxMmI3Z5zXLNQMs0c+n0e324Vt26kZp9Tz+Mdf7mK73cPVXQc77T6YkQMGWcNbrW6WKSgh\nGw0XALumj9/5Hw0cuMDmRjC1ptw0MjPKyYkxtnCTjGliVBj5b96zFXtdGPjo93rYubqF4M/+GPyg\nDaW6AvvW2+AM3L2mRc6Oahof9bpZYNkvzBRaCkAoREEQCIJRq9Xg+/5QPh2ZfyyKYnRSeJ4nwnbz\n+bxQMfJmF3j3+9HZ3kJQrKD8wh8GYxfRbrdjTpUUZ0CGKc1mE6ZpRtvI54UCapqmmEiPUuKS20qD\n4zjo9/tjSzkXBh+7DG/7KpiiwFAUGIyl9p9SGaaqqjAMY+y56rquyPFcJEyD2AEQ5cCzBF2vHMdJ\nLY3NcLY4j1moGWYPcg+2bVsY+FEPOGGzbOA/PP/JaDQa+Pd/7mOn3QcPPGilFfDAQ+i52O/bc/wU\ni4XlncmcE5DBydVdCyxXwH39A9zXsPDW5958anI3yt3pRpWr08LIG1ZUhhp6DrjnYKvj4fc/1cGr\nPvV/Afu7ACKHSOvRB6G8+k0inBw4vgWzfH8RscwXZlKr8vl8TFkim39d19FsNgWZ0TQNBwcHQuFb\nJMXoJOj3+8IoJQiCaILeaqDwvv8Ib3cbluuBKQoKe1fR//F/D9coiMw6Oe6gUqmIZnbbtmMlmL7v\nHxltkDRfSYNcyjkuAmFRwNtNMEXBqqHFyI3cf+q6rljomSSUnBxGF00hTiN2k5qnAGdroELkmfb9\noo6rGTJkGA2KF7JtG91ud6w5FQDUqwUomg7ue+ABlWdaqLDZl4AvCzJiN2eQwQkzcmBq9HVs97yp\nycqj3J1uRNCqM932DyyEAyMV8DCy+FeA/avXYO5sQ1UU5NRoUlNq7yP/3/8c2qvesNDk7EaEHLhN\nZELumyuVSrGyv1KpFDP/WFlZmfMnOB3IGcx1XRiGcVje+DcfB2vswAeHpihRJtveNroffj9w22tG\nGqa02210u12USiURYzBJtAFwmFlH0QmjXrNMWYFkDAEgRsTk/lNyuCRM0l+3iCY9oxQ7YDKydpbE\nDsjCyhcN5ykLNcPZoNfrwbKiliG5lWAUbn/aOr50vY1re02Erg01X0Jd8/GCJxazXMsBMmI3Z5DB\nCdPiE4GW5aW9/NwiSbrSbqNeJ/evjdtWEjm/B7/fHXp8LbBRUBWoTEFRVeGFHB7nKHfbS12ud95A\nk4iDnW0EhTKK3/dSqBcvDoVme54niF+tVhsy/1h2kk5qHedclAIyxlAcZPgZjGE9F5XTHfgBgk4L\nlWIRhmEMGab0ej30ej0wxlAqlUSJW7fbjRHjNCSjE9KwlFmBt94O9eEHEOxcO3ws0X/qOI6YVBxV\n1r6o/XXAeGJ3HMXupCXqx0VG7BYH5ykLNcPZoVqtwvd9seAFjB8/NssGfuG7nojf/ruvoG06uHSx\nghc8fgM1LYTjOFP1qVhWZLPUOUM2OIk9XoivdnueJ1a554FJiNdpyNmsJgJyOSTdp8nLD/1Pl/BI\nj2On7w8eU3Ah6OJle5/BiqFDVaJJsdjWan0m7zHD8UGTiGB3C6YTmf6U9q4ieP3b0GHRuUNlfq1W\nC8Chg2Or1TrS/GNZEIahCAEntS6Xy0VOmKt1yGeVG3JYQQiWLwj3T7lsknoS+/0+1tbWRAmm4zhH\nRhvI0Qnlcjl11VTOCqzVaktDqNnGJlb+w39E873vSlUigiAQ8QXk1jgKnHN4ngfG2ML118k4LbE7\nS8VOUZQhxTTDHDAIKQeArhcg4Bz61jXkPvI+5O746Tm/uQyLClpwbTabEyl2QETu3vDtj0Ov1xPG\nXu12G6ZpLv01fRrIiN2ccfvT1vGlXRN75qEj5UZRw+1PW4fv+7BtG2EYYn9/f2zJWJp6NSmhmpSQ\nzQLJfjSaEMq/n+Y2DmtrwC9+7wou//0VNB94EKu9Bl761b/ERacF6DoQSjXbS+YQee4xmET0/AAc\nHGVNBWvsoPvB98D/wVeKvrlOp4MgCJDL5VAoFCYy/1gmmKYZM/Oh86lUKoHfejtw3z8BrUZEvPzo\neK5uPQr+n34R3e4BnFwJxr95MQqbm2g2m0MlmGEYotPpRH+XEm1Aqml3dwduvoTc974Ehc301Xk5\nK3AR1apx0DZvAhvRf0qkgsabcRMLz/NEf90iYpxiN0mMwXFeOw2QAQ0ZBy3qfr0REOs5DUN4nMMO\nge7WFvTdXZHtaBjGQi9qZDh7aJqGarWKdrsNYLKFoWKxiH6/D8uyUC6XoaoqXNfN4k+QEbuFQKwh\nPwzg2Q5azX3AiC6ydLEyTTNWdjVPtWvUc8clZ7PGqJJNGjiqjOM1X/4ggs9+ChxAQWUAUyJSV78A\nrF/MegUWEDSJqGgqGBSUVAYnCNFv7EEfKEu2bYsyQ3LFlBWjZa/F55wLokpqHTlYKooCZWMTwWMf\nD7Qa6AchfM6RYwx58wDhF/4ePdePzGW2Hkbvpsei1WgiKJRQetHLhaJHZKxQKAwRFlk17Q9U0/Lu\nFYR3/sLQuXJesgLTYNtxN7ajjFOAxeyvA5bLPIVAGYx0HmSYD+Re1DVDg8c53JDDX6vD5xyO44gy\nZFKsM6KXgUDXLjm2ZxxkN03LslAsFtHtdmGa5vKU+c8IGbGbMy7f2xDOjIHdR+ja2AXwwXuBO551\nMfbaZLlJklzRRXVSQjUJOTtrjCJhsuqY9hw9n0bejkKwtwsMVph1pkDH4LOvX4T6xndM/0POGeeh\nwZ0mEUxRUNFVhIP+MaV66OIo99EpijKR+ccywbKsWOwGqXUxh087KvPOMwaPcVT1SHHr+SFCzlFU\nVaitBva3t9BzfKzoKiq/vY3wcU+E2T2AlStB+54XoXrxG4bfgFR6lWMKNKZA298digE4T1mBSXDO\nhSujoijQNG2syyeN4YtKQEYRO0VRFrLHDjgkyY7jnAsVfmkhhZQrFA1ycRPKba+Csn4hFslC+YNy\n9iORvIzo3bioVCq41jZx973XYbM2VovjndxlI7S1tTX0er2ReXg3EjJiN2eQeYqiKNAKZfB8CTzw\n0IcGXddjDaW1Wk30FCzKQZtW/ikTsVHPjTJAmRYoimAUsZXJLL9wEcqj9wMAmoU1/JfHPx+tXBVr\nlTxu77lDgwqVyKqqunQN+6kN7vf/M4KbHwfY1vIQPWkSASAyBdENFL7tFuTzedFHR0rTJOYfywbT\nNOG6LjRNg+d5KBQKQq0jEAHWWGTXTyhrDAqAksbQ9QOYfoi8qqCmazAOmvA///foupEKV929An7n\nL0BJHBOkmqqKghVp23JJFudcOGUue1ZgGii6gMaScYSNSCBjbGH3w7K5YgKAqqrQNA2+7wvzoAxn\nj6OyUIm0AYe9phnRyyBju+fi1z93gGuNHrSiAsAS8V/rw/HLQvWlY0jOw1u2udk0sZhXlxsISfMU\nRVGgaAYurlVRr9dFf9DOzg5arRZuuul00QWTEq1JSNg0iVhar90oRVFWJpN5cSchveGLfhT86kPY\nOXDw9qe9GjvFwxHkvr++grc+92bUc4pw/fP9yGxlYyPKtJPVxKN+jnqOcJptpG0r+Vzw+78NfvUK\nOAc2DBVQFGB/F3x/F6qiLI2TGdvYRPDy1wJ3vR22acIOQqihi8qH343+hU04RkHU7S9VGPaEoOOQ\ncvjo+B/K40sQYAIpnW4YwgpClHUVZZVFpcgAPM7BwVHRVOgpKhwQL71KPk6QYyaWPSswDckqinEl\nlouu1gHjSzEnIWt0HJ5Vjx0hl8vB9304jnMuj7NlwaRZqDJxAzKilyHC5Xsb2DEDqPnDc5jiv37p\n69LnvoVCAa7rwjTNmIKXEbsMc8MtT6zinkcOEEgzJFUBnvO1eXQ6HTiOg5WVFei6jpWVFWGrPY5s\n0QX4rIjYKKIl/05/M4qwzRO00viHf/aP2NEOSV3oe7jW6OO3/87Ea56xEfsbzjl2d3en/l4mMbxJ\nezzt79NeG25fB7c9cHCEXIvt+4s5Pfp9UKq56GHlyqf+CtyxYQbR8V7TVfC9bRx8+H1QbrsD1WpV\nKEbAcoRhTwrTNEWTuOu6KBaLQ2odMLyKjnwBuPJVoLkX7RtvYKiiqVHO3QAFlUFTdOhsMNGXVDiB\nNNK4sQn+7FsQ3v1O2I09dI0C2Hf9AGpPSinlPAegiSdwOPkchUXvrwOQOhbTGD2pCscYg+/7Qsk8\nC+RyOfT7fdi2nRG7JURG9DIAUgUbi1+nx8V/UUWO4zioVqui0u1GNlPKiN2c8VcPHJK6MPDBPQee\n5+Djn3eGeuzIMei4kImUTLTGKV5HqWbnDWxjE62bHGA3Uk95GIAHPkLfQ6sfihVomSQxxsTkJUmu\nRv2UX5umtMnfTdpjyR5JGWnPJX/yzUvA1iOIwh0GN0VB8htNncgvGOg9ruoqnJDBYAxN10fYaaM6\ncF5st9tLFYY9CVzXhb11DdbHPwDD7IGXKsALfgjFixdTX59cRQ++/EXgrrfD7PcPDVXU4egBInVA\nXIWTt5ssveLPvgV437sQ7G7hYGDOUtl+FMqb3hE5y54jkGJK57Wu62PHRiJ2izwJParHbhKyJpdj\nntVCimEYYIwJ19HzeI26kTCK6BHBy4je+cSk8V8yFEVBsVhEr9cTSp3nebAsKyN2GeYDWqHgYQge\neOCDVdGOPbxCkcvlYirZpCTsPF3kRpWNTqJeHaV+Ge4BvIFrIuccGDxfy+fh+75YOSSSt7q6euoL\nSNr3lHZ/3O04fxP+8B3ge9eGSvOG3lfKRH7RQKWAiqIgryro+wHcMISxuoZyubycYdgToPvoV+H/\n1q+ANXZhc46yylBsXAf/6V8c6oNLAymddhBCgYKKNph8V2rA458sFD2BMVEfSdIY3v1O8L1tWEGI\ngHPkVYZ8a28pFODjIhlzME6JC8MQnueJfrBFxThiR48fdT2RSzfPUiE3DAO2bWchxecQMnErlUoZ\n0TunuP1p67ivYWG7dzj/3SxHBirjUCgU0Ov1YFkW1tfX0e12hYnKsuSlThOLe4W5QbBa1MG5CSgK\nVKMADBYYLl0solarwXEccXFcROOHSYnTJK9Ne13a77PC93/9Ch7cN7FnBtHkRFFwoWzgJd90EZVy\nNGmjkiTXdYV5yigSPSkpO0uwjU34L/tJhHe9HXBsqGnvYVky+269Hbj/n4HmHryQo+eHUFbqqL34\nFQjDUJRgLlMY9lHwfR/On34A9t4ODEUBx6C37hjkiZTONUODG3JopMzd9FioP/mWU7mm0rZLmgqm\nKMiNK+VcclDMAalZy95fB6SXXSYVu6MwDwMVAMI4ISN25x8Z0Tuf2CwbeOtzb8blextoWR5WC+Nd\nMQmqqiKfz4vznzJrLctauDnzWSAjdjPEds+NDlDTG7Jt5TzKdfner9Pxxa/20cThwbdZ1vGyp2+i\nUDBQKBSwvr4Ozjl83x/1rwROSphOqn6dBcaVg05LyVIUBZuKgl+5ePHYg8qigKzvgyAQ99N+9//8\nT8APusgxFnNKRKUG5SnftByumITBcXjg+cLsQ9M0tAfRBssYhj0O/X4fQbsJBgW6ylBjDBobTLwn\nJE+y0plTh8stJzVAGLdtAMKIRd72eQFNJOn+UUrcshA74JCoJjGpczEtRM6D2AHxvscMNwZmRfTo\neD9PVU+Ljs2ygTv/5fFNAovFojBOqdVqGbHLMH1s91z8/F9fkSRlC1/ZM/Gz/+oiamogTFCqKvDm\n73gs/uS+HlqWi5W8hhc/dRUl7uDgwBaTBgpWNk0TwHIRrbTHR7123orWSQeVWYFzPkTMRpG3SaAo\nCli3A5WxYbXupseCLVO53McuA60GaPqYYwylXhu9D74H7g+84tyFYXvb12D+4d2wt66ioCooqSoq\n+mGp28TkaYTpyVRU2llue4FA4zfhKMK2bMRuGRU7xpiwPr+RjRMynI7okYU+EF1/m80myuVypgIv\nOOi78zwPYRiKscBxnIU2rJoFMmI3I1y+tyFIXei7CD0XV7su3vvp/pApSk0L8aNPKQIgNy8X/f6h\njbZlWWNXIY9DtNIem5Ro0WsynA6c8xghG0feJiXrqqoKcxy6UY6fqqrA/i7U//sDQKcFWAeAMXzq\nL5uqIueorRkaOAA3DNHd24WmnK8w7HBvG/1fewuC7evgAQfTVJQ0qbz0GOTpqLyp02CW214kyP11\nnPOxJCIIAuFgugyurMl+umSP3aR/f9bEDohUu4zYZUjiJERP13XkcjmEYYh2u41cLodKpbLQPbI3\nOorFIjqdjjBRoRiEjNhlmArIFAUAFFUH40AIoOsNXxhpABlFtNbX18eSsAyLgUlLIY9jGy4TtlHk\n7aj+sXBvG+H/+Vb4u9tgSpRhBqYCoaTyLaGqIpf9KYoC8IF9fy5/7sKw+Ud/H+bONuyQI68qKKgs\n+h5PWD57mnLLeW573qD+Q/PaNYSVGpTnvxDK2sa56K8jjCJ2i67YARGxI+vz86TWZ5guJiF6tEBA\ncBwHruuiVCqhVCphp++NbLXJMB/I0QdknOI4DoIgWIpFtWnh/Mx8FgyybauiKFB0A0w3cOliFRcu\nXBCDhOu6CIIgNYOKkDX7zg+krk1C1iZdzVZVNaamyeqaTNZOQtqpF9P3fQRBEF2sLv8OvKtXAE03\nPfgAACAASURBVER5ZUVtQOrqF4D1i8urqkjmKQBw4AfwOUd++wpyvQ5wTuINAKC/twsOjpqmQmXK\noVq3bOWzS4xwbxv8N34O3s4WAtcDg4Lw0QeR+4k3g22OPneWmdjR71SeuejETtM0aJom3ItvpMlc\nhpNjFNEzTVOYJAHROdHr9fBIo4Pf+GwHey4tqlq4r2Hhrc+9OSN3c4SiKCgUCuj3+7AsS8QgWJZ1\nQy30ZMRuRhhn28oYQ6FQELlaRBKyi9DZYdK+tUlLIRlj0DQtlawllbZpQCZwMpFLM9gJ2k0wRYGu\nKJHKQ1i/CPWN75jK+5kH2MYmgpsfBzT3YAchrCAEUxRU+51zY68f7m1Hat3VRwAAVV07dLHE8pXP\nLjU+dln0DuYYgxeGwP4ujP/no8CYAPYksUuaat3yxCr+6oGDhVv5TxpHTKrYzcs8hZDL5SL3WMfJ\nwsoznAi0yCordnKry0e+tI/rrR6YbkRu5gC2e5GCt0g9+jciisWiIHarq6si326ceHLekBG7GeE4\ntq0ZoZsOxqlpyV62SZBW/jjq91l+Jpm00Ur0KLMUUgN1XQdrNaD+2YegdvbAcsOK77kgBXakiutM\nQY4xFAcliufBXp8UImv7OgLPR37ggCmwhOWzs8I4B+JpgY4pnSlYNTS0XB9OGELvdUb+DZ2ruq6D\nMZZqqnXPIwcIBF+a/8r/KMXuOItcwPyInWEY6Pf7GbHLcCowxmJtMDIcrQ+9NDxva1nD+cMZzhaq\nqiKXy4mSWrpv27YQU847MmI3Qyyaw+IyYlQpZBpZO00pZBpZO8vVHSJwSQVuFIEjIwYqPaKbMC7Y\n20bwn38R3s4WdDWFeG5sgj/7lihQeolNLqjPTlWUWHTDuSCtA4Wo70fHQJHKL5cxlmKGSCNLsyBH\nck8n5xxuyMEUBUZpdIlPUq2TTbUIQWLYmvfK/yhiJz92FBhjcyV2pLZMEqieIUMaxi3Yyq02sccL\nWcvMIqBYLMJxHBF3QPczYpchwwwxad/acdS1ZCnkKKVtniDljX7SbdTnJAKn63qMyCUnK1SaKRrA\npb66dUU/VHoGpIA/+xbgfe8CH5SWcQB46CsIX/+25SIL59henxSimq7BCUMYLOurS0PcgdiDwtTZ\nkCOpp9MNOTg4cowBjz6EcG879bwhlz3qkSZTrdD3wLT4JFB+bJ4r/+MUu+MQO9/350KsqF8qCyvP\nMCuMa7XJMH/kcjlomgbXdYWTqeu6wp34vOP8f8IMZ4ZxatpJSiEVRYGmaWNLIemxqX6OgfPdaZSs\nJHEjI5O0iRFZKxNxk4ncqEmRTOLovrztoN2Epijx0j1AkALvt38VzvZ1uGGIqjb4P4PPvUy9aefR\nXp+OP1x/FEBU+qezE+TV3SCQHYgBwOu1oCgKtvc89HpV6LouSiFPA7mn0wmjcy3HGNBqjDxvSLEj\n10xa6Q/sPlh5RbyOBwFC1xLEbp4r/9MidgDm1juey+UyYpdhZjhOq02G+aBYLOLg4EBEH3S7XZim\niWq1Ou+3NnNkxC7DWCRLIceRteOUQk7StzaPEhrqa8KESlaSuBGhO4rAJRW4se8pDMVqE/1MkmPG\nmAhW1XUd6k1fA+Xag+L5YFA65oIh2NuDe/064EVGK3nGkFMHk7kl7E07T/b6yeNvCLl8pLZmEJDL\nopimQytW4ZsHKKsher2eeB2db9Vq9dhk43rHwrvuuY5m8dlY/frH4zlX7sFfXHgGeuV11L0eXtp9\nGEltkM5TwzDEWHb709bxpa0OrnV88CCAoqpQFcBxLfAgOh/nvfKfVnZ5UmI3L2dKItKy+UWGDNNE\n1mqz2CAyZ9s26vW6cMesVCrnvjw7I3Y3KMb1rc0ic21RSiGT8DwPmqaJfjb/Q++Fv3UNAeeoaGpk\nxLG7heAj70fw8p8cKqUcReAMw0hV4I6CnKdDt2SfHW1f0zShRiTJofeC22B/+YtwB2VjAb3PRx6C\nsrsNY3UNuqpCZwqMzGVxcTDoqws4hx9y5JL9kY4NvO9dy1cyO0Pc8sRqzICEaTpypSq+4/Hx3rcg\nCFCpVI5NNLZ7Lt72tw/jWscGcpvA5iY+feEbEbDDc+6+8Ml4W8+NrdinxRxslg286Vvq+MDnXViq\njo1aGc97fBkf/YeH0bGAmy5V8MPftDHXlf+0SQ9j7MSK3TzAGINhGHBdF57nZXFBGTLcYKDoA9M0\nhXJvWZaIQTjPyIjdOcI4NY1+p/uTQC6FPMrGf5FXQOgz077wfR+maaLb7cIwDLG6yzmHu7WFwPEj\nhSsIoSgKfM6BretQO3H3O1LJSHWTidykkEsq6ZaETODo/yX3dxAEIhfRdV0EUOHVN+FtbyPkHFVd\nhc4YjH4HuXv+EuylrwbfuXIue9OWGaSY9vwAVhDCCBhKA3JnhSHyjMHY3YK6ZCWzs8RfPXAwZEDC\nVR1/31DxDRtxE49utwvO+bGa6C/f24hInQSZ1AHADisN9fQl++uA6HyvaSHueNZFlMtllMtl9Ho9\n3PHMCwCAer0+dxIySrFLPjYOROwmff0skMvl4LouHMeZ+z7NkCHD2aNYLMI0TZimiVqtlhG7DNOH\n7/siKHFSIkTkjJSb05ZCAhhb+pgkb8sAIm3yftk6sPHBL+6h1XNQy6t44VPWsF7UYNs2TNMUkz3O\nOVzXPbTzLpXBwKExwOMcDJHjor5Wh14sxhwoj6s+isBw6Zb8zogcyopc2v+RiRz12cnb55yD93vQ\nwVHQGOpy3MFB61z2pi0r5J5ONHYARL1bfsjhhiHcMIQTcDAFsFl03OrXr6PQ7SKXy0HX9aU5V2cB\nuccucC2AA4qqouPksLq6ilarBc45DMOA4zjodDoi12iS/itheDIolWRqdNnknIP7HpgeqWvNTj/2\nd57nCXWdYJpm7HnOeewx3/fnTkLSSNlxFbh5K3ZAROy63S4cx7mhwokzZMgQgeZSrusiDENoWjQH\ndF03Ni6fN2TEbkoYlaPEOYdt27AsC67rIp/PQ1GUsaHYyVJIz/PQbI7vfTqqFPIsMtdmAVIZqV8l\njcQlydFe38Ovfeo6dvseoCiAouCBRh+vfVYd60UdpVIpRmAJqqqC/cDLoDauQ2vuQVUATVHALlyC\ncturwI7RdEuEUe6LG1VSKatxo9S+o4hcGIai/KhUKkXf+YVN6NcfjpVaAoflluepN21ZkdpTx1Tk\nAeRVBjsI0fMDcBb1SHphdEz65Sr6/T76/b44jnK5HHK53A2XixnrsdPz8M0DcNuD4XC0Wi0AgGVZ\nqFarwlTDdV20220YhoFyuQzDMEaaJtH2FUWB3+9AKdagqCpC1wY4BwbEbm3vEQD/AgDEOSn313HO\nYVmHFum+78O27Rj58X1/6vvnpBl/W10bH/tCBy3Tg2a38R0XAtx0TGI3aXXILEDVE7QoeqOdFxky\nZIhUO9d1YZqmmEOZppkRuwzjkZaj9OWdLv7dt66jyuIukI7jYHt7hDFCAqSg0aRtWUshx4EUxyRx\nk++PA8Uc0E9VVfF7X9pBUylBrzDwwENg99GwQvz5V23c8axa7O8NwxB2uIqiABsbCP/dLx1LyUpG\nDRDxSoLKKInMjTNNGUfkKJ8pSeSIHBqGEQ1at78afDcrt1xoDHrqAMAOonEiDwD1C8D6ReTzBeSv\nfBXW3g56fhD1StYvQPueFyNfLIrjxHEcUfpHxxiNG8s6NoxCkqjc8sSqsB5XFOX/Z+/N42S76nrR\n79pzzUN3n+5zEgJcomIQ4gAolyB6GeKcEKPBBPjEJxB9F65CuMi91yEBvXqfYFS4vs+NyFP0MDjE\nRPQ9CTwUJQ8wokJITMJJOMmZeqpx1961x7XeH7vX6lW7dlVXT6er+9Q3n/rkdNWuql27dq29vuv3\n/X2/0PJlzJE+Xv7sIv7PL15Apx+iZCq48VtUXFYroFKpIAxD9Ho9BEGAZrMJvddB8YO/Aa2xCmDQ\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+jcuPzeHNL7kCCDcX13DfSVjNNRiKAkNJ+nXI2jKCv/wocNObMoldVj8dvzYcxJhu2/bI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1Jil+JMYlwVj4xTppkMQnEIvgPH0OEcVlQIi5yIh4WYv+tTN3Ct0YEQDF96vINH6v2FNKjPA5P2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\nqzU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WaabgY0mSUK1W4TgOM7uhPMY8vKjK/8m/x4aJqlf9s7OoVvrzQ47jwHEcyLKMubk5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\ngZ8nHLwitHDIii86AaaZ7EzPXcY07n3Wq/H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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "V = penguin1 - dog1\n", "plt.figure(figsize=(15,15))\n", "plt.scatter(*dog1.T)\n", "plt.scatter(*penguin1.T)\n", "plt.quiver(*dog1.T, *V.T, alpha=0.1, \n", " units='xy', scale_units=\"xy\", \n", " scale=1, width=0.01, angles='xy');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Step 4: Animation\n", "All math works are done, we only need to draw the animation. \n", "\n", "First we interpolate two matched datasets." ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false }, "outputs": [], "source": [ "f = scipy.interpolate.interp1d([0,1], [dog1, penguin1], axis=0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Set up matplotlib animation and the base graph" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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2tiNaQoNC9c3F31SIPUS3PLd0seRib34lfVbhbNsgJzYwtts2MYF33paWt5bf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\nAAASEXkAAACJiDwAAIBERB4AAEAi/wFvYuTT3r7ciwAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from matplotlib import animation, rc\n", "rc('animation', html='html5')\n", "fig = plt.gcf()\n", "fig.set_size_inches(12,10)\n", "plt.xlim(-3, 3)\n", "plt.ylim(-2.5,2.5)\n", "fig = plt.gcf()\n", "scatters = plt.scatter([],[], alpha=0.7, color='blue')\n", "label_text = plt.text(1.35,1.5,\"\"\"\n", "X Mean\n", "X SD \n", "Y Mean\n", "Y SD \n", "Corr.\"\"\", size=24, color=\"#558855\")\n", "\n", "stat_text = plt.text(2.,1.5,\"\"\"\n", ": 0\n", ": 0\n", ": 0\n", ": 0\n", ": 0\"\"\",size=24, color=\"#009900\")\n", "plt.subplots_adjust(top = 1, right = 1, bottom=0, left=0, hspace=0, wspace=0)\n", "ax = plt.gca()\n", "ax.spines['left'].set_position('center')\n", "ax.spines['left'].set_linewidth(2)\n", "ax.spines['left'].set_color('black')\n", "ax.spines['bottom'].set_position('center')\n", "ax.spines['bottom'].set_linewidth(2)\n", "ax.spines['bottom'].set_color('black')\n", "ax.xaxis.set_ticks_position('bottom')\n", "ax.yaxis.set_ticks_position('left')\n", "plt.margins(0,0)\n", "# plt.ioff() # if you don't want to see the empty graph" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# an helper function to see matplotlib animation with ipywidgets\n", "# helpful for adjusting the plot\n", "import ipywidgets\n", "from IPython.display import display\n", "import time\n", "from io import BytesIO\n", "def show_anim(anim, loops=1):\n", " img=ipywidgets.Image(width=800)\n", " display(img)\n", " for i in range(loops):\n", " target_time = time.time() + anim._interval/1000\n", " for d in anim.new_saved_frame_seq(): \n", " anim._draw_next_frame(d, blit=False)\n", " with BytesIO() as bio:\n", " fig.savefig(bio, format=\"png\")\n", " img.value = bio.getvalue()\n", " now = time.time()\n", " if target_time > now:\n", " time.sleep(target_time-now)\n", " target_time += anim._interval/1000" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We setup a function and use matplotlib's FuncAnimation" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false }, "outputs": [], "source": [ "def animate(tick): \n", " X = f(tick/30)\n", " X = ZCA(X)\n", " scatters.set_offsets([X]) \n", " stat_text.set_text(\"\"\"\n", ": {:8.5f}\n", ": {:8.5f}\n", ": {:8.5f}\n", ": {:8.5f}\n", ": {:8.5f}\"\"\".format(X[:,0].mean(), \n", " X[:,0].std(), \n", " X[:,1].mean(), \n", " X[:,1].std(), \n", " scipy.stats.pearsonr(X[:,0], X[:,1])[0]))\n", " return [scatters, stat_text]\n", "anim = animation.FuncAnimation(fig, animate, frames=30, interval=1000/30, blit=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Viewed it as an HTML5 video" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# can also use our helper if you have ipywidgets installed\n", "# show_anim(anim, loops=3)\n", "# it is useful for checking result because longer html5 video takes long time to encode\n", "# but this animation is very short, so it can be encoded very quickly\n", "anim" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We collect a few black white drawings from https://openclipart.org/ in the img/ folder. \n", "\n", "Compose them together into a video loop using the method above." ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# load and process all images \n", "import glob\n", "import random\n", "img_files = glob.glob(\"img/*.png\")\n", "random.shuffle(img_files)\n", "img_list = [ZCA(np.float64(get_dots(f)).T) for f in img_files]\n", "# apend the first one at the end because we want it to be a loop\n", "img_list.append(img_list[0])" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "done 28.5096116065979\n", "done 22.62716794013977\n", "done 35.64913988113403\n", "done 23.780082941055298\n", "done 23.869417667388916\n", "done 31.18822956085205\n", "done 28.728618383407593\n", "done 29.146002769470215\n" ] } ], "source": [ "# compute all interpolation functions, this will take several minutes.\n", "funcs = []\n", "for s, t in zip(img_list[:-1], img_list[1:]): \n", " t0 = time.time()\n", " C = scipy.spatial.distance.cdist(s, t)**2\n", " # this might take 10~60 seconds\n", " s_idx, t_idx = scipy.optimize.linear_sum_assignment(C)\n", " funcs.append(scipy.interpolate.interp1d([0,1], [s[s_idx], t[t_idx]], axis=0))\n", " print(\"done\", time.time()-t0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Construct the animation" ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "collapsed": false }, "outputs": [], "source": [ "def animate(tick):\n", " if tick%60 < 20:\n", " X = img_list[tick//60]\n", " else:\n", " f = funcs[tick//60]\n", " X = f((tick%60-20)/40)\n", " X = ZCA(X)\n", " scatters.set_offsets([X])\n", " stat_text.set_text(\"\"\"\n", ": {:8.5f}\n", ": {:8.5f}\n", ": {:8.5f}\n", ": {:8.5f}\n", ": {:8.5f}\"\"\".format(X[:,0].mean(), \n", " X[:,0].std(), \n", " X[:,1].mean(), \n", " X[:,1].std(), \n", " scipy.stats.pearsonr(X[:,0], X[:,1])[0]))\n", " return [scatters, stat_text]\n", "anim = animation.FuncAnimation(fig, animate, frames=60*len(funcs), interval=1000/30, blit=True)" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Encoding the video might take minutes\n", "anim" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "collapsed": false }, "outputs": [], "source": [ "anim.save('statistics.mp4')" ] } ], "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": "3.5.3" } }, "nbformat": 4, "nbformat_minor": 1 }