{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "You can read an overview of this Numerical Linear Algebra course in [this blog post](http://www.fast.ai/2017/07/17/num-lin-alg/). The course was originally taught in the [University of San Francisco MS in Analytics](https://www.usfca.edu/arts-sciences/graduate-programs/analytics) graduate program. Course lecture videos are [available on YouTube](https://www.youtube.com/playlist?list=PLtmWHNX-gukIc92m1K0P6bIOnZb-mg0hY) (note that the notebook numbers and video numbers do not line up, since some notebooks took longer than 1 video to cover).\n", "\n", "You can ask questions about the course on [our fast.ai forums](http://forums.fast.ai/c/lin-alg)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# 3. Background Removal with Robust PCA" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Our goal today**: ![background removal](images/surveillance3.png)" ] }, { "cell_type": "markdown", "metadata": { "heading_collapsed": true }, "source": [ "## Getting Started" ] }, { "cell_type": "markdown", "metadata": { "hidden": true }, "source": [ "Let's use the real video 003 dataset from [BMC 2012 Background Models Challenge Dataset](http://bmc.iut-auvergne.com/?page_id=24)\n", "\n", "Other sources of datasets:\n", "- [Human Activity Video Datasets](https://www.cs.utexas.edu/~chaoyeh/web_action_data/dataset_list.html)\n", "- [Background Subtraction Website](https://sites.google.com/site/backgroundsubtraction/test-sequences) (a few links on this site are broken/outdated, but many work)" ] }, { "cell_type": "markdown", "metadata": { "hidden": true }, "source": [ "Import needed libraries:" ] }, { "cell_type": "code", "execution_count": 31, "metadata": { "collapsed": true, "hidden": true }, "outputs": [], "source": [ "import moviepy.editor as mpe\n", "# from IPython.display import display\n", "from glob import glob" ] }, { "cell_type": "code", "execution_count": 32, "metadata": { "collapsed": true, "hidden": true }, "outputs": [], "source": [ "import sys, os\n", "import numpy as np\n", "import scipy" ] }, { "cell_type": "code", "execution_count": 33, "metadata": { "collapsed": true, "hidden": true }, "outputs": [], "source": [ "%matplotlib inline\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "code", "execution_count": 34, "metadata": { "collapsed": true, "hidden": true }, "outputs": [], "source": [ "# MAX_ITERS = 10\n", "TOL = 1.0e-8" ] }, { "cell_type": "code", "execution_count": 35, "metadata": { "collapsed": true, "hidden": true }, "outputs": [], "source": [ "video = mpe.VideoFileClip(\"data/Video_003.avi\")" ] }, { "cell_type": "code", "execution_count": 179, "metadata": { "hidden": true }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|█████████▉| 350/351 [00:00<00:00, 1258.81it/s]\n" ] }, { "data": { "text/html": [ "
" ], "text/plain": [ "" ] }, "execution_count": 179, "metadata": {}, "output_type": "execute_result" } ], "source": [ "video.subclip(0,50).ipython_display(width=300)" ] }, { "cell_type": "code", "execution_count": 36, "metadata": { "hidden": true }, "outputs": [ { "data": { "text/plain": [ "113.57" ] }, "execution_count": 36, "metadata": {}, "output_type": "execute_result" } ], "source": [ "video.duration" ] }, { "cell_type": "markdown", "metadata": { "heading_collapsed": true, "hidden": true }, "source": [ "### Helper Methods" ] }, { "cell_type": "code", "execution_count": 37, "metadata": { "collapsed": true, "hidden": true }, "outputs": [], "source": [ "def create_data_matrix_from_video(clip, k=5, scale=50):\n", " return np.vstack([scipy.misc.imresize(rgb2gray(clip.get_frame(i/float(k))).astype(int), \n", " scale).flatten() for i in range(k * int(clip.duration))]).T" ] }, { "cell_type": "code", "execution_count": 38, "metadata": { "collapsed": true, "hidden": true }, "outputs": [], "source": [ "def rgb2gray(rgb):\n", " return np.dot(rgb[...,:3], [0.299, 0.587, 0.114])" ] }, { "cell_type": "code", "execution_count": 83, "metadata": { "collapsed": true, "hidden": true }, "outputs": [], "source": [ "def plt_images(M, A, E, index_array, dims, filename=None):\n", " f = plt.figure(figsize=(15, 10))\n", " r = len(index_array)\n", " pics = r * 3\n", " for k, i in enumerate(index_array):\n", " for j, mat in enumerate([M, A, E]):\n", " sp = f.add_subplot(r, 3, 3*k + j + 1)\n", " sp.axis('Off')\n", " pixels = mat[:,i]\n", " if isinstance(pixels, scipy.sparse.csr_matrix):\n", " pixels = pixels.todense()\n", " plt.imshow(np.reshape(pixels, dims), cmap='gray')\n", " return f" ] }, { "cell_type": "code", "execution_count": 95, "metadata": { "collapsed": true, "hidden": true }, "outputs": [], "source": [ "def plots(ims, dims, figsize=(15,20), rows=1, interp=False, titles=None):\n", " if type(ims[0]) is np.ndarray:\n", " ims = np.array(ims)\n", " f = plt.figure(figsize=figsize)\n", " for i in range(len(ims)):\n", " sp = f.add_subplot(rows, len(ims)//rows, i+1)\n", " sp.axis('Off')\n", " plt.imshow(np.reshape(ims[i], dims), cmap=\"gray\")" ] }, { "cell_type": "markdown", "metadata": { "hidden": true }, "source": [ "### Load and view the data" ] }, { "cell_type": "markdown", "metadata": { "hidden": true }, "source": [ "An image from 1 moment in time is 60 pixels by 80 pixels (when scaled). We can *unroll* that picture into a single tall column. So instead of having a 2D picture that is $60 \\times 80$, we have a $1 \\times 4,800$ column \n", "\n", "This isn't very human-readable, but it's handy because it lets us stack the images from different times on top of one another, to put a video all into 1 matrix. If we took the video image every tenth of a second for 113 seconds (so 11,300 different images, each from a different point in time), we'd have a $11300 \\times 4800$ matrix, representing the video! " ] }, { "cell_type": "code", "execution_count": 40, "metadata": { "collapsed": true, "hidden": true }, "outputs": [], "source": [ "scale = 25 # Adjust scale to change resolution of image\n", "dims = (int(240 * (scale/100)), int(320 * (scale/100)))" ] }, { "cell_type": "code", "execution_count": 41, "metadata": { "collapsed": true, "hidden": true }, "outputs": [], "source": [ "M = create_data_matrix_from_video(video, 100, scale)\n", "# M = np.load(\"high_res_surveillance_matrix.npy\")" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "hidden": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(60, 80) (4800, 11300)\n" ] } ], "source": [ "print(dims, M.shape)" ] }, { "cell_type": "code", "execution_count": 79, "metadata": { "hidden": true, "scrolled": true }, "outputs": [ { "data": { "image/png": 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YzzzzjHhS4XAY/f39iEQislaZZsd5NAxDyiHyGKXNtl6+sNFoiKQWCoWwtLSE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\nAHg8J+d9QiYnJ8NeX4QcDjAWM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/mK7rjjDs3NzWl2dlZf//rX1e129QM/8AM6ffp0Zj+7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\nAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.imshow(np.reshape(M[:,140], dims), cmap='gray');" ] }, { "cell_type": "markdown", "metadata": { "hidden": true }, "source": [ "Since `create_data_from_matrix` is somewhat slow, we will save our matrix. In general, whenever you have slow pre-processing steps, it's a good idea to save the results for future use." ] }, { "cell_type": "code", "execution_count": 42, "metadata": { "collapsed": true, "hidden": true }, "outputs": [], "source": [ "np.save(\"low_res_surveillance_matrix.npy\", M)" ] }, { "cell_type": "markdown", "metadata": { "hidden": true }, "source": [ "Note: High-res M is too big to plot, so only run the below with the low-res version" ] }, { "cell_type": "code", "execution_count": 33, "metadata": { "hidden": true, "scrolled": true }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 33, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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4ikxBiqIgFAoZ7swbCbOyREyM/d5pOCn0mtXBSRBHQADo6uqqEagJeEIxC55W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hW4CG0ZHByE0+kEAHoiaWlpKXJzcxNoACski4RJth3C4TD6+voQDAbR09ODD33oQwnvsc+yY0NU\nP/K8aIdICexzsVgMo6OjKCgoSMhbrfxTBSKEiJiEZNMRtROflmgtGhoawokTJ9DS0oJAIIBoNAqD\nwYAHHngAWVlZlD6Qd1kHKJHmPp3abT315O+zIM+Gw2GcOnUKmzZtQlZWFq688krMnz8fGRkZtL5q\nc01UH1GIybfffhtdXV1wOp3IyclBeXk58vPzsWTJEnoqqNpOhd42UxNeUgFx0NNrGzyZvmVPaZUk\nCVlZWfjHP/4Bg8GAefPm0RMR2XnBtz8fP5z81lpL2Lolw0fxmGx7qyHZdH/3u9/h9OnTFwcDbbfb\n5Q9/+MPnJW+1hlfTDKSaptY7kxlgammoXUvHoFYSfKbz2GPLp5epmMG5RbrH0HTRts9gBgTTnU5O\nJdI9H9PVjnrWT9G9c92XmZmZMBqNkGUZmZmZCIfDCSYUbBm1dhmUBIxYLEbj5ZOIQbIsY/bs2TSq\nDDmDAxArDafLTiep40XlRGg2m9He3o5169ZhzZo1CXYxrIaFbOsl0xFqg5vXAog0AzyDqfcanz+/\nnaGkCVIqg9K7IklQSTskSiNdddZ6Xk1yVSsDm55WPnq1oASsPRXRIkUiEVitVlgslgnjj20/Jajd\n09NebBpTJbGTtmL7Rs1Jj28HUd8rlVMkWBHwB434/X4EAgGEw2GqLfH5fIjH4zCZTMjJyaE7TWx4\nQZK23+9PML8h9oBsuYGzxFxpTurRxmgJqZOhE/w9XvvGapj8fj9kWaanY5KdMpPJBJPJNKEf0o1U\nNFH8OCdtzqeTjjKnIw1RXynd08pbdO1fjXmWJCnBDANINAcUmZeomZykIw2l55K5N9Xg6UA0GqWa\nabfbjVAolEAnRYeFKaXJQukd0bOEzpL1hJiDkLVVkiSqGSe7MuQ/e84FS/8yMjIQiUTg9/vhcDjw\n05/+lDobrl+/Ho2NjTCZTBN2p9kySZJEgwHw5c3KysLu3btV2yWhPab7BJ0/f7783HPPqT7DDx4g\ncQHev38/NmzYAK/Xiw0bNtDg+HwaLMEnW1BKjDlr+qFWLnbR09pWZsGmy9sNKTm06GFc1co6ODiI\neDyOoaEh2Gw2xONx1NbW0snG11mNCReVhwdvd8W2E7EtBICxsTFkZmYiGo1Sp59IJEJtm4mtVk5O\nDrXPCofD8Pl8OHjwIAoKChCNRrF8+fKE0+MAJDgM8Iv1ZAUlnrCmwvyq9Sn/TCgUwo9//GPs3LkT\nwLgG4mc/+xl1vtTqNz5NEQhRlCQJbrcbHR0dePLJJ+F2u5GRkYHnn38+4ZAgMn/0pq/3Ppu+Xqg9\nz9IQnuCy3wRKC2VmZib8fj++973vobOzE6FQCABw66230njnPNScdNUYtKnEVAhnqUK00JFrvGMn\ne4IgoWWvv/46jh8/jsbGRlRXV6OxsRGzZs2C2Wye4EcBJC7aLERzUQQtuqdWL1EdtSAS7PQK9aJy\n6H1vKpBsnlMxRtXS5E38WAUDSyv4g8700kB+zIRCIWzduhVtbW343Oc+RwVf3qRRqx1ENI2tA9FM\nk+hS5BlyaBepg1IgBaV+Y9dxkp8WE07a88iRI9i5cyfmz5+PtWvXUr8nPl9ekcPeS2Y8kbb4zGc+\ngxMnTlwcJhyNjY3yf//3fwMYJ47f//73sXv3btx77734yEc+ktDBLJJtONIRPp8Pp0+fRmdnJ/74\nxz/CZDKhvr4e+/btg9/vx1e/+lVUVFSgrKwMmZmZCREhRPmy/0OhEAYGBiiz6nK5KOMBAIWFhcjP\nz0dTUxMkSUJmZiZlwNhtENb2mI9moETg1dpDb1uRdHlmg5U0jx07hr///e8IBoOwWq244oorYDab\nsWjRIgBnJUy+/dlvh8OBTZs2wWw246qrrkJhYWFC/UVl12J6WAFJlmV6muFjjz0Gi8WCjIwMPPLI\nI9RLmRWgSD5Ecn7wwQepU9hjjz2W4CTB5qu10JJn9bS/FgEkEn0kEqHtSzSurO3rE088gfb2dnzs\nYx/D2rVrUVxcnKDtEbXndIdIQOXHAKuZ0dPmSs/woe+0iDTfV5FIhI6lcDiMY8eOobKyEkeOHMEl\nl1wCm81G+40X9iRJwvbt2xEKhVBfX4/6+voJc16NGdI71s4FhoaG8Mc//hGRSAT5+fmorq6mtEIJ\nIsZUbZyqCe6jo6NYv349IpEIqqurKa0l8+hLX/oSDZNlNBphNpspo8HaMXs8Hvh8PnrypBpEZREp\nfUTzkTzLO4byz6mNR5YOsPM8nXOdn4ts+oSZGhwcxN69eynT5na7sWTJEjQ2NiY40vE0nxcOeH8P\nr9eLnp4enDp1Cp2dnfD5fBgaGoLb7YbBYEBJSQkeeOABlJWVwWKxTJgPpMxq6+dk5g/pm9HRUbzw\nwgu4//77VZ3ZtNLSs84o0UayZpBPOBzG008/jdLSUmRlZaG2thaSJKGhoQFWqzUhRKtIoaNXOfTk\nk0+isrISNpsN69atE7YrWy9Rffg5YzAYEhh1n88Hh8NB77PlMxgMsNvt+NWvfoWenh54vV66MyfL\nMm6++Wb885//RFdX18XBQOfm5srknPbzhXRoY/RqJWaQiJm2urgxneZDqlut52qbdjI4F2XUk4fW\nM1MVWWIGFwb0CqMXA6YT7ZvBWezevRsej+fisIE2Go2YNWvW+S7GDGYA4Nw4QmptH/PlSObdZDR2\namkl8zwpbzJlS3b7jeQxgxlc6BDNGSWNYzLX0pGuUhrpSHc67ZDMQBl8P4l2RMkuL/u8LMsIBoOQ\nJIme4UC02nqimE31GCHpHjx4UPc7056BLioqwv333w9ZPhtGjcSJjMfjKCgoQGFhIebOnUtjpQKT\nt98SOR+Q6ySsmh4m5lwRCC0GSU/+hGn5V9CUs1vApG+j0ShtH+KsRsxltLbwzvchOwRqixUBW2cW\nxPGEbOsNDQ0hLy8PBoMB2dnZAM5uq6ZDU8hu8xJbVhIiMhqNIhQK0aNkS0pKKKEljjDpaOtgMIhw\nOExjEMdiMWRmZlJHUSDRB0E0DtjtQZHzkxK0yp8qA8RCqa/dbrdq3umAmv0ncDbuM5l3sjzxsKqs\nrCxq90me4WOxs/fYd5XKkwr0aNaVMNltf73rRrrotV5BO51rBNuPes0C9M4BJWZdKw0966nStXQI\nI0rgTRiI3X88HsfRo0fhcrno+rVixQrYbLYEP67JrlW8okPrdFqtMaKmeAHEUTpE75jNZnR0dOB7\n3/serfOPf/xjVd8zwsyzSOYkwmlvwtHU1CT/5je/AaC9/cfakD344IOYPXs27r//fhQWFk7oBNHg\nURtQSlIXe1AIkbzIokC+yW+SB+lcwpyxtlx8OUWDXa0eZBFindbIc8n0dSQSoTE9g8EgtTMijJQS\nY6l3UpK2UnqHXfjJbza4O3nH5/NBlsdtS9va2ujRnsQGmzgJxuNxdHd309MlV65ciaysLGRlZdE2\nFxEZvv0my7Tp6QPRGOeZs6NHj+Lb3/42vfapT30KV199NQoLCydVPr6shMAYDAYcO3YM//7v/47y\n8nI8/PDDqK+vp2VTa5dUzAd4O+NkNOfpglYsYZIvGZ/8HGAXRoPBgJMnT+LRRx+l6dbU1OCJJ57Q\nffKVXsb8QoZonJAFmhd6WQ//YDCIrVu3Yt68eTh+/Dguv/xyGAwGasPMxguORqPwer349a9/jeHh\nYXzsYx/DnDlzUFZWpuhrAUycg2plZsGWm5SdLQv5xGIxdHV1oa6ujvrX8Kex8fGVkzl/gB+XSmVN\nhsalWykkYizZeyy0GNxU8gYm9mckEoHD4cCJEyewefNmmEwm2pdWqxVGoxEVFRUoKSlBaWkpCgsL\nYbVaE/pGy9aZHVPHjx/H5s2bYbfbcfvttwv7eKpNsli+pr+/nwrc8XgcWVlZVHHJl02JH+AFJALR\n+OHnC3B2npCThNvb2xEMBrFu3TpUV1cLfau0xoDSfL7vvvsunoNUGhoa5DVr1uCll17C73//exiN\nRgDQPKxCCXx9n3nmGezYsQMmkwlVVVUYGRlBV1cXotEoHn/8ceqtzTruEbCaaH5QvPjii3j77bcR\nDodhtVpRWVmJK6+8EnV1dcjOzk7w/uYJhkjaYr/VrokkZy3BQS/4BYw4gYRCITidTqotIqdwkUVu\nZGQEZ86cwa5du2gkArb/wuEwurq6cOrUKSxduhSlpaUJWqZkJwZbVv4aWwe2LoQ5j0QieO+99+Dx\neLB69Wp61Ddw1oFMkqQEhunUqVP42c9+BpvNhry8PDz44IM0RBqPWCxGo4qwzgtKhIQn6qScpP2J\nAEA8lDMyMhAKhdDe3o5Dhw7hjTfeQEVFBa6//nqsWrUKJpMprQve+QDfh1rPAWJvcJYBA8bb9vTp\n04hEIujv78fY2BgA0GPfSdSGrKws2neE4VLSTuthdNn8N23ahOzsbJjNZlgsFsr81dXVJdAMlpkO\nh8PYv38/Vq5cmaCZP1/9zNOeI0eOYN++fRgcHAQA3H333SgtLaWLl6iN1DSKqcDpdGLz5s04ffo0\nampqMGvWLCxbtkxIv10uF3bv3o2RkRF4PB643W7MnTsXpaWlmD17NsxmM3U2JsK73+9HJBJBOBzG\n6dOnqWN5ZmYmdTokzEY8HkcoFILX68X27dsxOjqK/v5+mgZLW0jYwZycHNhsNhQWFqKqqoo6sldV\nVSU4XpKQhTk5OTCZTHTdImmmoz1FuxykXuw3AAwMDGBsbAz9/f2IRCLIzs7G4sWLE4Ru9jRdfq3i\n55IS08O+o1TmeDyOU6dOIRQKYdu2bThx4gR1kotGo8jLy8PatWsn7LKRMUJorFqEDdH6DYw7Tvb1\n9WHRokXCEHLpWJdZEKGTOMUSZR6JXuV0OnH8+HEsW7YMg4ODWLBgQUI52DCXpL15bboof7V6kHWL\n/e/1etHf34/R0VHEYjGYzWZ6IA9Lx0gexOERGKfpDocDdrudHlqTnZ1Nw5nyih22nCQ6kiyPB47o\n7+9HPB7HwMAA/vznP8Plcl0cDHRBQYF81VVXne9izGCaQEsrcaFBb/m1NOCihTHVtlFaBESEcqra\nf7LMXzp2ClJlNpS2bZXy4PNTeicVplIkTJ/vOZPsNreo3krKAv458p/ky7etUtuopa83XT3101vn\nVK6plVeprUTtwL/PQm8f6IGeeaKW//lWDKiVf7qDFUq0xoNWfbTm2HTHW2+9Bbfbraug094GOisr\nC+Xl5dNigsxgBjOYwQxmkE6IDuLQcziH1vP8NZFfT7rSSEe6F7Np0vnEdI8QxINluJX4vqnkBYmV\ngx5MewaaOBECYg0MuxVLwG6/qJlF6GXKRVsJau9NNaPPa2C18uPtM/W8I6ozey+dAs1USegijSw7\nbmRZTnCAIHVS2lZWg1ZbpENDk0ze/LYq+z8ePxssX5ZleDwe9PT0AABKSkpgsVio6Yqaxluk9eLr\nRExO2N+xWAzRaBQtLS0IhUIwm83UPKKiogL5+fkJ27pKGgzWd4Cvux6NnFJ7ke1Op9MJj8dDtx4l\nSYLVaoXdbk8gsnxZtewdte5NlbKAX5jON0T9xpaLHbuBQIDSerJdm5OTAyDx4BN2TOjpA1E78GOb\nh56doMn0n9aYnQztmO5KKL1tdy4VaqnQk1Shlj4Z/8C4XTYwPkd27NiBU6dOYdWqVcjJyYHZbEZJ\nSQkAZQe8qQC/torWIHKNN3thfb34vp2MVt/hcGDLli3Ys2cPPSjOYDDgf//3f4WmN5Ik4a233tJd\n52lvwtHU1CQ//fTTQmaI/Y7FYvjpT38Kv9+Pa6+9FpdeeqnQTprfYtMDNi/iLEiM2snBCDt37qQH\nfpjNZthsNiETwjqsscw4y7AqlVkEVnKfaoJCJjDx8AUmOkew5dBaTJQWL/YeyZMwNQCoI6HD4cDY\n2BjKy8upcyM/8SRJSnAgYsdLJBLB9u3b4Xa7MTY2hlmzZmHJkiXIy8tLsE/nF2O97Zyu/giHw3js\nscfQ1dWFSCSCe++9F2vXroXNZhOWT8/Y1pr3R48exf/93/9h1qxZuOqqq1BWVlRw5bMAACAASURB\nVAaj0UidmrTy0Nqi1irDdFzoReXlFw1AbEIgag9ZljE6OopvfvObOH36NHJycvDQQw+hsbERBQUF\nmg5ifDsmu42v9rzWNVEdU11LRIw9vwATISYYDOKNN96A0WhEYWEhzGYz8vPzUVpamlA/ANQngF+g\n+bFFGHK/34+dO3fiL3/5C0ZHR1FaWoqFCxdi8eLFWLVqlS46xpebZfpPnz6NgwcPYvny5YjFYhgZ\nGaGHZhFnR7Y9lSCir6IxoAdTxRCqjRWt9whkWcaTTz4Jg8GAtWvXYunSpRMUG0rjOJV6hUIh/Md/\n/Ae6urqQl5eHm2++mUb3MhqNVEAj6SsxfaIxJuoTdi7Ksoxdu3Zh//79+PznP6+4novqp6ZkUINW\n+/ACLZmDfr+fjm2v14uOjg40NDQgLy+P+obw7UC+eaaVf04NvDKIXCNzbOvWrTh9+jRuuukmGkBA\nLQiD0hhZv3492traLg4b6NraWvkHP/jBhGMckyEUwWAQJ0+exP79+/Huu++ioqKCnj7X0tICv9+P\n2267DTfeeGOCk46Sp6tocnzpS19COBymRuxf+9rXaEQEPRKVnjxE13nNixJBYRl2UV56FmF2MQgE\nApAkiTpSsYKBqNxE8xgKhfDOO+9Qb/nc3FysWLECWVlZCaEBlQZ+ujQPato4SZIQDAapAwZxXPj2\nt7+NuXPnori4GDfccANMJhOtd1ZWFg3H5ff74fP5EAgEkJOTQx16yGJOtJl8XVinNiKksWGKSF4k\nxBpJo7+/H88++yzGxsZwxRVXoKmpCZWVlbR8/NhJltieD2aW11aI+iuVcvFtz2p1WGJMnG3IokEc\nbwwGA0ZGRqjTi9/vR0dHB9xuN4qKirBkyRKUlpaisrKSOrOQecE7tojmHbtzFo1GMTY2htbWVvh8\nPiq8Eu3Thz70oQRB1mAwIBwOIxAIYGxsDH6/H7NnzxZqxEUCDX+PbWs1kGctFgt1Ctq8eTNCoRDu\nvPNO5OXlJQgDovmmNy8tkLIPDQ1h+/btqK6uxpw5c1BQUKA47yaTt5pih5x6ST7Dw8OIRqPweDwY\nGBhAVlYW5syZQ2kfYUDUItCQscT3kV6lhait9DCd7DrIzk12B2/Xrl3UgXLevHnUeZ6MeTWBkNBY\nwpQRYZ2PQiJixJROAdaqO/kWaUhZpo6fs+RbaZeSbddAIID33nsP11xzzZTRUbYu5DsSiaC3txed\nnZ0IhUIIhUJ0h2/hwoXC6FNK40aPYD6ZcgNIoLOkT9h1kDjTsu3P7vwBE0+mTKW80WgU3/rWt9DZ\n2XlxMNCFhYXytddem5KEnS5mawYzIJju8+VigpaGTU1DOoMZaCHVtWFmXUneIXMG5xekD0hYWq/X\nC7fbje7ubni93gSFFRtthBxxb7VaUVpaClmWUVNTk5AuK/izebHg7d+Vyjcd8Oabb8LpdF4cToQZ\nGRnIz8+f0EkErCaOvQZM3hNalIZauiJMp4Ex3ZEu5udiYqSUxuXFjou1nnpo0gymHjPtnH6Ixnay\nmvCZfjm3uPzyy89r/qzWn+1/Ehed7EQ4nc6EnTSy68BeUwt3m8y4SiZE8rRnoO12O+69917N53hv\nYPLNb2+wW05sZ7BbA6lOYj2OZ1PlaTxZwkMGr5owopRvKsKInvLwEHmjK90TgT8xie3rC51wk/bi\n7cQikQg8Hg+OHDmCzMxM2Gw21NTU0PjCxO5Sqy3YfuOJHjvfgsEggHGzqf379yMcDlOnQKPRmBAD\nVpTndOsPdhyyDpHEHGnPnj1ob29HeXk5/H4//H4/Fi9ejKVLl07YXlSzmRThYohIkI4IACJawI53\nYuoky+On1cqyPMG0TG0LXs384XyMQ1G0CtH9VKJ2AOcvCgdbHmKGROjPdNVWnw9FDG8uQ2iOy+VC\nT08PgsEgPRJ7zZo1CbHogUSl4nTbCeDbU2TXzENpPdLzPPub50/i8Tj27t2L559/HgCQk5ODxx9/\nHFu3btVRk/fTn+6ausbGRvmpp56i/3nbmKeffppqqW+66SZq98nbiakxxvwiSa6xEQuAcanoxRdf\nxHXXXQdZHg/AXV1dDWCizS5xYGHts5QGstIA0SLsovqlIsWnOrHIYsXmydqqq5VHjZFmGTQ2AHw4\nHKYEl7UvVQLpQ5JXOBym0iUh8iyTQgK0A8CePXvQ1dWFxsZG5Ofno6KiAlarlY4rpS0rkSDBP6cl\njEQiERw9ehTPP/88br31VsyfPx+5ubkAUmOq2PxEeQeDQWzYsAH5+fmYO3cuVq9ePYHh0zNmlZDK\n+JoquiQy+0h3+uz4ZfMk3/wY4ss0NDSEAwcO4JlnnoHRaMSqVavwxS9+cQIzyEPvrlg6oScvJQaY\nbxdC051OJw4fPgyfz4eOjg6sWLEC8+bNo4eXkHxFCIfDcDgccDqdiMfj9DAck8mE+fPnJ5z+KppL\nhNnjGcO7776bCofEx6WpqYn2pdvtRl9fH/r6+iiNiUQiKC4uRnZ2NnJzc1FbW0vT5L+1kIpiR6TI\n0GJUlJQh/DNK72o9pwY+T358ZGZm4vTp03j++eexbNkyNDQ0wGKxoKioSHEuiQS4UCiEn//859i2\nbRvi8Thyc3PR1NSEhx56iDr+s3mr2aSLIFJEKeGFF15APB7H1VdfjdLSUtXIQpMVqJX6lFzjn+UZ\neUmSJrQnmSfsQVUOh4M69ft8voSToNmTPtnxRn4nW0eezpK5S8r5wgsvoKCgAH6/H7fccgs1SWG1\nzDyT/YUvfAHt7e0Xhw307Nmz5R/+8Ie6n4/H43A6nXjhhRfgcrngcrlw3333IRQKYevWrXC5XLjm\nmmswb9485ObmIicnJ0EbxmtMeWzcuBH/+Mc/EAwGYTKZcMMNN+Cyyy6jYWOAiSYkBHoWb70aXX4S\nTKW2igzIcDiMjIwMurXCE3W+riwR9Hg82LlzJ+x2O6qqqqhZztGjR9HQ0IBYLAaTyURP7UplO0ar\n75KB0tYSWeSj0ShGR0fR3d2Np556CiUlJYhGo2hsbMQDDzyQcHKlqLysgMA6T2zdupUeFVtZWYnK\nykpYLBZKgILBIB5//HHE43Fcd911WL16NSwWi2bbTBVEYzqVtk8X06fV3krvaP0mgju/uHd1dcHt\ndsPr9SIeHz91MysrC36/HxaLBTabDR6PBy6XC8PDw5g7dy6amppQUFCA3NzcBEdUFoTJ4xcst9sN\nv99Px2F3dzdycnIQCoWwbNkyOu7Ih8wjEgWiq6sLq1atgtVqVW1Hvp78PbPZjLKyMvT29mLz5s04\nduwYbrzxRlRVVSkqLZTGSjrG7MjICHp6erBo0aIEAUWJXmqB3b1k5z7fHyydI9rCcDiM3bt34+TJ\nk/B6vQiFQigqKkJzczPmz5+PgoICmi7rWCdqDzUGWEuQSgZKQg5pC/ZaOByG2+3GoUOH0NjYCIfD\ngebm5glOs3wZ9WhD2XLEYjFs2bKFrjkOhwOFhYXIzs5OONGPjbTCpss6x6nlyUNpDdaLaDSKHTt2\nYO3atTR6B59GKrSOp01s/5CxOTo6imAwSMuflZWF7OxsZGdnK4bXPNdrhgh62kMPvZhMvxF84xvf\nuHicCO12u/zBD35QU3KeDpjqtky3Zikd6alpN86lJixVpGsB18pjBslBSaDVupaMhi1dwhafvtI1\nNe3dDGYwg389JEt7REwkOdL6zJkzcDgcCIfDGB0dTWCyMzIyYDabYbVaYbFYYDabUV9fD5vNpqg0\n4K8RZQ9JlwhWRIhRC1HHM7RKSkatOifTXqnS1ddee+3icSI0GAywWq0TFiGlrQ4lqDW+mrSipQ1m\n0xf9ThbTmemczmVLFunQ0IgwVW30r8Zk6amv0pwUMdXpbj+13SP+t1oaqT6fyn2197SQ7rroSWcq\n3ktW0E9WKEqGMRDldbFAr68P37Zasc/Z9GdwFkVFRWhqajrfxdCEFg8musbu8ADjfW8ymdDZ2Un/\nA0BZWdmE2M8s/RfNVdE81TsGgQuAgbbb7bjrrrt0PctvuZKGJbatsVgMZrNZGDdSbbKr3eM7JRUn\nQTXCmYyAMNVQYxrSnb9oQom2T9WeF73DQ8uO+lwi2S1m8g7ZOg6FQnjppZdgMpng9Xoxd+5cNDc3\nUxMPkQ2tXi0v+Sa2btFoFIFAALFYDBs3bsT1119Pwx6xcX/ZbWqlrVEiEE8HaPUBf5/8j0QiCdqZ\nl156CQcOHMDY2BgCgQCKi4tx+eWXY926dbRdRc6ULPhr02WcnkvoXXBFi20sFsPAwAAA0FiyRAtH\nxqrS1j+B0lzhaZ4WDT8XO10XGoiJEom9+9GPfhRr1qw5L2VRGk8sUum/ZN9h+RZy3sLLL7+MpqYm\nzJo1C1arFSaTacJBX8mMx1RxLpRnPC/FX+OZYV6jLfqtpOgU5T02NoaXXnpJd3mnvQlHY2Oj/Itf\n/AIAsHfvXuTm5iIzMxM+nw81NTWw2Wz0Wd4xQ0mjzEYNINfYI4aDwSCOHj2KwsJCDA0NoaysjG59\n5OXlATgbuYM9eIVnnvloIOQTiUQwNjZGD2eorKyE1WpFZmbmBOZeaVuEvzYZTCYNfnCz9lgkXd7O\nj3+f3yIi9tbAeP3ZQ0iU0tCrgWLzIv3OO0HwtqfsRA2FQmhpacHY2BgGBwdhMplw0003acbBZMGX\ntaenBz/5yU9QVFSERx99NMHRQvS8VrpKgkUgEMC3vvUtFBQU4FOf+hQqKioSxi/7TdJTmkNK9VTS\n2InKo1UXUZ5qz6ghGc1HstDaYlS6x0cmUPpP+iQajeLOO++kffzNb34Tzc3NEw6bSLbcUwWe1rJO\nedu2bUNrayssFguuu+465OTkUMcjQEzDUxGyeKdwIuiMjo7iu9/9LsrLy9Hf3w+z2UxtyW+44Qas\nWrUq4eAGQiuCwSA9IMVoNOLo0aP41a9+BZPJBIvFgjVr1uATn/gEZcxJHdi5JPLxYMurVU92rdHD\nnCdDPyYDvcInS2sJRGu3nh0kWZbhcDjgdruxZcsWuN1ulJWVYevWrRgeHqbv5ufnw2q14gc/+AGN\nCEToLBHg+bVbK3ZxKuOR+AyYzWbcdttt1Cl+MgqEVOexHgUUD9bBUm8e5EAoj8dDTwAmNIv4obHr\nkBaTK4LIuZF8s3OY5S8CgQACgQD27t0Lt9sNYFyL/fLLL6Ovr+/isIG22Wzy8uXLFbdr2WuTgZ50\nRff0bgkmuxWot2x67iVzLVkkm0Y68pxqXIjbgyKHswspz8mkleq700XrPYMZzGAcF7qWPpk1jd/h\n0/v8ZMGHcz3X0BtyMdXwinxayeZ58OBBeL3ei8MG2mg0oqKi4nwXYwYXMKYro54q9ApoU52PHgFT\nq2xKAtWFvpDOYAYzSB5qmnlyXy1G9sWG3NxcZGdnw2w2o7+/P2GHV20ncDLQSjedSje95UnFDCrV\n9eT48eO6n532DHRGRgbsdrvuZ2cwgxnM4GKAljnMDC4uTOdduVSxc+dO1NbW0hjHFxPOVV/JsoxA\nIIDCwsJzkt90Am+SSCCyj87KysKhQ4fg9XoRDAaRmZmJSy+9FNFodIL5p5rJZTJ85LQ34WhqapJ/\n85vfANAesGRrgrW903sYhJo9Z6pOIFrviuym+bwnU47JLLap1llPugTJjj3+efJfybZUza5UL7Rs\nFdVs5PTc0wJfR0mSEI1GceTIEQwODsLtdqOiogIrV66kefHOgnr6kN1OZPOMRqPw+XzYtGkTjf0d\nCARgt9uxbNky2O32hKD0ogOM/pXAth376ejowPbt2xEIBPDaa69hyZIlCIfDePjhh2G32yf4C7Bj\nRm/EocnM2em+DrBIxZ6drAnEfjkUCuHkyZOQJInaYObl5cFisUw4ZEH04cGPd7YflHZp+Hf1QO8Y\n0PMeX8ZU1hmlNPTUQ9QOkUgEL7/8Mo4ePYqqqircc889muVQams94Okr+WZDtLFrNNvPSuVKRUvK\n0oqxsTHs2LEDFosFCxYsQGZmJkwmE0wm04Q8Lnb6yvsikW+lHUt+/Ord/WTbcf369Whtbb04bKBr\namrkr3/964jH4zRECXvCH5A4mPiJzzLTAOiBFQaDgUYtOH78OBYuXAi73Y6ysjI6iKurq5GXl0eD\nofMEVNRJ5JrH48GuXbtgNpths9moI1xNTU1CqBWRI4gWY0/eSyXihxqmYjISJz32IAr+PiEckUgE\nkiTRwyWA5B1mtMATSBb8OFF6nyWm0WgUXq8Xr7/+OoLBIIqKiqhjCDnkhMTIlCQJHR0d+Pvf/05D\n8Fx55ZW49dZbJ932pA3JoSx+vx9dXV3461//iqKiIhQXF2PBggVYtGiRLmFyssLbhQK1ccDXWS9j\nIkIqdFa0lUrKJMvjx1X7fD4cOXIEf/nLXzBnzhx89rOfnXCIj1L/pasvlZgPYHwe/f/23jxIsqO+\n9/1mbV3d1fsy3T3T3RrNPkKDRprRaCSEEItlCUmIMKCAAC7G+PpFXBz4PT8HBuN4i4OHwX5x3334\nwXXIl3sND2PEckFGCIMkhBCDtcw8SSPNPhrNqGef7p7eaz2V74/uPMrKznNO5qlzqk5V5yeio6tO\n5cl9+eUvf5l59epV/OIXv8Di4iJuu+02bNq0yd4ULOtP+XQGEUdCCL761a/i0KFD9gkxnZ2d+NM/\n/dMVZcsEJkqpvamcz790Og1gaSMg6yP4jVWlUgnf/OY3cejQIezevRvvfve77UtrCCGwLAuLi4tY\nWFjAhQsX8PTTT9vlOT09XREee4flFdvEyP/GNp9ns1nk83lYlmWngRCCTZs22Rvgk8mkPVlgfZK4\neY7BJhsyLl26ZI/DrK8rFArI5/MolUr2hvx4PF5xUVl3dzcIWbrcg/nPLp5hfRfrLxOJBI4ePYrN\nmzeDUooLFy5gaGjILiu+zh08eBCXLl1CPp9HLBZDJpPB5z//eQwODlaYO/CyQKFQACGk4uIh/jPf\nz7O8Fv+L7dOtzn7ve9/D4OAg9uzZY184w9+eGGa/yvyPgrmLbMLAvjvln9N3PxMVMQ7Am2M922T8\nla98BePj480hQHd3d9Pbb7/d1Y3TbNZp5u81G3d6pipU+GkQXu+Isy6nOMgGTZl71WdhC0w69S8K\nHUCUCMsGMApLrUwQEOslj6z+sueGaOLWB69WotDeGhkvrbebLKDqf7PAp1s8CtVrZcRN6w74r8e6\n5eHlT7WyyzPPPIPp6enm2ESYSCTQ399f8ayZKnQYBFUhVyONkG9OgiP7jeE1qBjCwUnwdys3/l1V\nvPwSwxefmTpgcIMXrJj2lmnpEokEksmkrYEGjIKjGjo7O9Ha2opUKoXp6WnMzc3VO0pauI1HfsZU\nv5McHaWiGBb7z5tweRF5AToej6O7u3vF80YWEv1UDpXBUvZes9CoZW3wR7PU3WZJh8FQLadOncL0\n9DRuuummekclkuTzeeTz+RUyz2o4bUQFLxlANMkAgIsXL6JQKKBcLuPkyZMAgJGREWzevNl2I2rO\ndTTpkRege3p68Hu/93srnouZydvfibZ1onvVQc3P4CeG48dexwvVAtZJZ1BLq0HbVfLf/U6a+Aal\n2hk51S/Zb0AwWj1ZmC+88AJ27tyJX//61xgfH0csFsO9996LTCZjbyqptvxEDRMAzM/Pg9KlTYSZ\nTMa22Uun0542aiLNJESq1j/RnXj8FMvbUqmEhx56CA8++CAA4Bvf+AY++clPVtjSy24sVO1Xwrat\nDNs/rzC8+gS3cYJ9npmZwYULF9DS0gJKKfbv3w8AeOtb32q3s87OTrvfZbaygPulXbJnsotCxLSo\nmtR5afyCLPtatWH+4otcLoc//MM/RDabxdjYGP7iL/7C9UQulfrI27+y/TeWZaFcLuPs2bN2W2MX\nePX391dcuMK3O/6zinzB3PGCHquH2WwWL774ItatW4fh4WHEYjHbVpr3z+vAAbfwa4FKGcjqtN++\nRLZvifdLPFGD10qLz9jnxx9/XDn8yNtAb9iwgX7pS18CULkj2smmiTXAYrFo/3799dfj1KlT+M1v\nfoPZ2Vm0traipaUFExMTiMVi9kbBnp4eu/KyRsT8Z8jyq1wu4+WXX0ZrayuuXLmCzZs3o6+vb8W9\n7E6dbRCDoO7Sr993vfxy+k3WabDNgeImTaDy5IEgBwSd+PKdLdtQw8e9XC7byz1ssySL77lz53D0\n6FH7xsKjR4+CUoqvf/3rFadzyNLmZa/HvsfjcUxMTOCRRx7B+Pg48vk8PvvZz6KtrW1FHRbDYP54\nCWJivGrROVcTTrUdsrj0J/4XB0Fg5YZT/lB/t4P+/eA0eY7H47AsC9PT0zh16hReffVVXL16FTfc\ncAN27dpla7T4Qcspn2R5IHPD/rP2wL5PTk7itddeQy6Xw6ZNm7Bu3TppGtwmnWI8VfnlL3+JX/7y\nl/Zkc+PGjbj55ptx1113VcRbR/CWXbzA/JDFjQ/j4MGD+Kd/+idMTk7ii1/8YsWJK7xffLqZH16b\nxEV/xLopi5/fCaAsTNEdn0+yfsVpQiHmr1fdE/2SjTNukzGniYdbX+hWzjIopTh//ry9SfSjH/2o\n1J+gJztufadb/1+rvl0Mn4+brJ8NO04yRccXvvAFnDp1avVsIgwbt87WTVsgc+fVcau+66SZ8JrZ\nyfxwC0ulM3NKg1dYhuZFteydfgu645S1C682o9uOvNqTGJaMavxQ8Tes9HmF74ZuWrx+V80HQG/C\nFUQ/7OS+GfBTt8Xfmik/6oVsUsNPctlzQgjGx8exuLgISpdO9Wlra0MqlUJnZ2fFkZqyU8/4707t\nKR6POyoNdE1TvE4eC8rMZd++fZiZmWmOTYTJZNLcRGgwNCkqglKzIRM4vYStMOKwWoQWP0qAeiMT\ntFUmFH4mNNWWfz6fx8GDB9HX14d169bZ58U7xcNJE+rWLrzi7zZB8TvpC0vpw/zt7e1FJpPB5OQk\nstlsxe8MP0osncnhhg0blOMbBSVY2OETQvDCCy8ou4+8AM3O7KwVXpoE9kx0r+Kfjr8y+Bmb2Akx\nc4BqOwPdy0eYv2LcvNLsRtiNZLVsyHCrC1En6kd7iRfpAP43+6jYNXo9rzUqg2o1cY1KOmWELVh5\nhaEbfth52d7ejne+853K7tPpNE6ePImjR4/iwoULWLNmDe6++24AlfcGeLUnlT5CdSVF9V03d7qr\nJsViEdPT04jH4/ZZ4TL8XP7lZHZUC6LUdmU3FpbLZUxPT2N2dhYzMzM4efKkbQJ13333aY2PkReg\nu7q6cN999wHQW27zq8WRNQaZwOzmH/+bn/DF714CabW42clGgSAao1MnxPvttPTF/y7zhxCi3JnL\nwmLfi8UiYrGYfQHK2972Nuzatcu++AB409ZRFVne8Ruo2KSrWCzay22i7T4Pb5vut16KA5MMfjOR\nHw2iTMtVD2QDsKyesUs7mK19qVTC97//fRw9ehR33XUXent7MTg4iLVr11YsmfL/ZXkpulNFVXOn\nogRwamNuz3Ti6QavVGCfKaUVl4Sw31m7KBaL9iUfpVIJhUIB4+PjuHr1Kk6ePIkbbrgBN954o93u\n2cUfYhmw/RHieKASb910Or0T1ZUGFYGbxZv9HTlyBI8++ih++9vf4h/+4R/Q3t6OZDKJUqlUITS6\npXl+fh7lchmzs7N49dVXQQhBoVDArl270NbWhv7+/hU3ubK4iHHjw1JB3ORWKBRw4sQJEEKwZs0a\nW4hubW2tCEPmv+qkO8jJlteEIgjBuRptN9+OGfxYJ4bjVG4///nP1eOrsDySBvBrAC1YErh/QCn9\nXwkhvQAeBrAewGkAD1JKry6/83kAnwJgAfgMpfTny893AfhHAK0AHgPwJ9QjAhs2bKB/9Vd/5fg7\n38BGRkaQSCTQ3t6OyclJfPe738Urr7yCBx98EAcOHMB1112Hc+fOYefOnRW3GfJCiXhtLq9dJWRp\nc2I2m8UzzzyDYrGIe++9F4QQ2z+nxisKJMxfSX67ZYcSfjtpp3dkwo5TsckGS0opCoWC7QcbePh4\n8kKZGJZqOlQbnM4ETPzOdm6zZxMTE3jppZcwPz+PZDIJSikGBwexY8cOOz0svWI9U4kDyxu2EnP4\n8GF86UtfwsjICP7sz/7M9ku3zKOu4a3lYK9ab7wmYfx/0W2xWHTcLOU0WIvP+D8xfDfhuVgsYnx8\nHD/5yU9w4sQJdHV14a//+q9XvC/zhxdA+XywLAsTExN4+eWXAQDnz5/Hhz/8YbsfFG9alRGUYFcq\nlfDpT38alFK8973vxV133WWfFqM6yHvVATehwsm9+FuhUMDZs2fx5S9/GQMDA/jQhz6EXbt21Uy4\n5YVMv6slYv8ui3s14w/fL4nXOLuVkVPd9aO4qrYsHnvsMQDAu971LrS0tLgqWMT6WE3Y9db6BiFA\n6/rvJdR7+QesNJP5y7/8y+A2EZIlnzOU0nlCSBLAbwD8CYDfAzBFKf0yIeRzAHoopX9OCLkOwD8D\n2ANgLYAnAGyhlFqEkOcBfAbAc1gSoL9KKf2ZW/i9vb30Pe95jzTxTtqQKOE1o4uSVgCIpgbasPpw\nEja9ELXjoh8K/Z3Se9X0PzL3bn6IgqaXO68wdQhKe+UVpyC1WV5p9NKYu/nrVW6yMvIqZzc/xLCd\n/JC5k8VbJc3V5r2KBtPptzC0mirotl0vN9XiFAY7XWxxcRGTk5PI5XIoFAqYmZmxr3Ivl8soFApI\npVK2AJ9KpdDa2ooNGzYgkUjYJ18BqLhWXJxkhSEPRF3GeOKJJzA1NRXMJsJlDfH88tfk8h8F8ACA\nO5effxPArwD8+fLz71JK8wBeJ4ScBLCHEHIaQCel9FkAIIR8C8D7AbgK0PF4HL29vSppMWgQ9Uoc\ntYmQoZJaa4hVVj/qgVc+hCWMhE3U+wdDNKGUIpfL4cyZM5ibm8Pu3bsDW2nwExdAf+Ic1ISOkKWV\n6dbWVkxMTNjmcWylUgxTF5UNgLUm6P5KZaU7aMSzo91QsoEmhMQBHACwKz/WUQAAIABJREFUCcDX\nKKXPEUIGKaUXlp1cBDC4/HkdgGe5188uPysufxafy8L7IwB/BCxdpLJ9+3alxKgshfjRVAfd8Jl/\nbsvo1W5081PB6tXBVetGJzwdTUM14QSB21Kz+F/8nV/dcFpS5Qc1t9UQcdnWLzp56rQsHBRhCLV8\nmfDaHTE8cdBUXT6OmlAbpYmMF2HHNWplI6OWcdy5c6ey27Nnz+Jb3/oWNm3ahA984APScTzM/qDa\nVRaVuKicJKbTz6r2GQY5om0067OLxWLF9fReKAnQlFILwE5CSDeAHxFCrhd+p4SQwHooSulDAB4C\ngC1bttDrrrtO9T1PAUmnscgGOp3ZtJMb8bnqJr5qGopqvGW/hz34qPofpEZO1lnJBCDxP9tcNDMz\ng3K5jJaWFtvekv3x9s6ikMr84tNy9OhRPPLII3j729+Om2++2V5G428888oD/pm4iQIAFhYW7GfM\nRpXZq4rh8PGt10SzXoNCvYVCsQ4ye+N9+/ZhamoKr7zyCo4fP45UKoUbb7wRn/jEJypuLOP7EvH8\nVsD/vgidAd1pUsd/likI+DNevS4rcYJvW3xYbAMX+18qlTA3N4eDBw9i69atyOfzmJ2dxfj4OPbs\n2YNkMmm3D0LevJjLsiwQsrTxjFKKhYUFTE1N4fjx4+jp6cENN9yATCZTEW9WBrJJbTKZlOahG6K/\nfNpFN0HtdRBtk/34K7tYCAC2bt2Kd7/73SvCEeHbBOuHy+UyFhYWcOXKFQwPD9vl88ILL2Dfvn04\nd+4c7r//frz1rW9FS0sLWltbkUqlkE6nAbxZJrJNoDwy5YMXYh0sFosoFos4cuQIhoeHcfToUbzj\nHe+wwxfDCWK8r4ZGFsy9+qBisWj/P3nyJIrFIhYXFwGsvBjLDe2LVAgh/wuARQD/HsCdlNILhJBh\nAL+ilG4lSxsIQSn962X3Pwfwv2Fpo+FTlNJty88/svz+/+AWXkdHB9WZzRrcUd08EsSGkzD8MhgM\nBoPBYAiDl156CXNzc8HYQBNCBgAUKaXThJBWAL8D4CsA/gXAJwB8efn/I8uv/AuA7xBC/iOWNhFu\nBvA8XdpEOEsI2YulTYT/DsDfeYWfSqUwOjqqkhaDwTe85kr2n7nhaeQZehDU+iQP8WxYPzdZ1QOn\nq7xlaYn66SiG1YFbXXTTbtbTbj9I6qnk4fuFK1eu4MUXX8Tk5KS9IsKfctPR0YGNGzcik8kgk8lU\nXGIjW5GQrYjyrPYxDQAOHz6s7FbFhGMYwDeX7aBjAL5HKX2UEPJvAL5HCPkUgDMAHgQASukhQsj3\nABwGUALw6WUTEAD4D3jzGLufwWMDIbBUmTo6OlY8VzX6F39zE4bcOoVaI1b0au203NyppF3HfpgX\nBvzYnLvFdzVor6vR0ru9KxPYVEx6glgKFNtgrWypDYZmRzbpB/yfchLkWPj9738fpVIJLS0tuP/+\n+21TBZ0wa42qiab4DhNq29vbcfHiRWQyGel59ryA6xVOV1cXNm3atCIshpdpST3N8MJC1XzG7bvb\n5EFHiaFtwlFrNm3aRP/mb/6m3tGoGi+B3+09nTDCcBsmXvngJUhGvf56IdpYi89kv+dyuQqba0II\nksmk1IZPRcugametg1v9choA3AaGRkPFDlhGVLRCjZz/XnVXbFNOafUjSLmhMlmVPQtSCaFL2OGK\n7eI73/kOXn75ZUxMTODv//7vkUgkpP2Ck62wbnnp2ve7EUQ+MRtvMVxeQPdL0HJHo6zIOqVZJo9R\nSvG5z30Or732WjAmHFGA32jB49TBuQkgsqV5YKVm2m1DAftdtYMVwxGXa/nlXdlSrmrF1NEoq8TV\nD24mEHwcmdswcJuFi3kjiwNzI7vhin+PdXbnzp3D9PQ0AGBychJjY2MYGBiw6y1/nuaZM2dw6NAh\nzM7OYmpqCqOjo3jggQccb/6TlWlbWxuAylvs+PhQSu1nyWSyYpMgf8sW729Yl/r4xW/YTuWp6jYq\nyPor9p1tgCmVSiiXyzh16hT6+/vx4x//GL//+79vlzFf7qJ2xat/U40f/13W77D6KC4ri5sevYRZ\nlfiwFSoWDmsPpVIJTz/9tL0itmHDBrS2tqKvrw8A7AuwZBt/xb6KXQglwjYqEkKwb98+nDlzBnff\nfTf6+vpWlEE+n7ffE/OFwW+Qu3r1KgqFAizLQj6fryj/ZDKJixcv2v6cP38eExMTmJ2dtf2PxWIY\nHBxER0eH7Y7fSOw0iWW3NfJCXSwWQ1dXl73JOZ/PI5fLIZfL2fVRNFOKxWJIJBJIp9O4evWqfdMe\nMzcA3jzfOJVKYWRkBGNjY/jqV7+KlpaWirxKpVL2DZGWZaGtrQ3Hjh3D9PQ0tm/fjsHBQaxfvx43\n3nijfaMqv0GP5YeKokH8Xae/EPvh559/HgsLC7jhhhvQ398PABV5X80kwKCPk8JKZwMh0AAa6M7O\nTrpnzx7t96K0JBQlVPNFdSlQN8xq/GgEglr6XO1Eue3W2ozI2EUbDMHRKLLBajBXjCL79+/H7Oxs\nc2ig2YzU4E/4VXmm694QLYxwvjrRabvi74bmJZfL4YUXXkBHRwfWrVtna17T6bR95CG/6sS02blc\nDufOnUMul0O5XEZ7ezsSiUTFprVyuYwzZ87YGvGNGzdiZGQEra2tK+qVWD+96l01qxCNPi698cYb\nOH/+PC5fvoy5uTmMjIxg27ZtWLNmjdS900pJPQlSZvDznviOH8UdIQQHDx5UDzMKGe/GmjVr6IMP\nPlixBCnuxg8Cc7xatKh3eYQVfr3T1UjUUvMaROcflHvx1A7RrMvphIQgJ7gqQrjMNtVPHtZjYh5U\neQNyQVFmyuYVF5U4OfUfKu/WSwHCTFGeeOIJTE9P42Mf+9gKN3wdl5n+ydItkwXEZzp9iGjawUws\nCFm6UZCdI81uEpyYmKg4H5yZbfDh6rYjv26c3mk2RZju2CmaZDjVI+DN9vzwww/j8uXLzaGB7u3t\nxYMPPljvaChRK81OEOFEoQG5xcFPh1FNeLVEZn/F21mzZ/l83rb3y2azsCwLc3NzGB0dRUtLywr7\nQJ56aBnDDLORtKZO9UxmNwzoaUfcfqvWjrjZkLUz1XfE/8DKTV0yu1XVZ15ESbMYFJ/85CcBuLcP\n/oa4QqGAj3zkI/joRz+Ka665BmvWrEFnZydisZh9EQogv3pZls+67SIIP3hk6Xaro7L6E0Q8gqBR\nhHA/cXz88ceV3UZegC4Wi7hy5Yr9XZw98Bsc+E0P7D9fCdmRMvzmFXGm6lZpmZ/iZhgxHIZsgwYL\nX+yAGW6/uaHbMYeNLBwvgTlIu2s3VPxzEnb4+ia6Yc8LhQKKxSLOnTuHlpYWEEJQKpWQSqUwNDRk\nu2dLo2IdkcHO/+zr67M3LBaLRZRKJRw8eBA33XQTyuUyksmkvXGQbfRhyIQsv/UtbMT4iZ8ZbkJj\nLZc4nfLQaVDUyXO+z2N9D9+fsSV4pgW7fPkyHn74YZw9e9a+qbC/vx9dXV32kjx/XqxOGsXPYnr4\nja3AytsQRWGymronxofSpQ2WhUIBTz/9NM6fP489e/agu7sba9askW4oc8KrTTo9Y2niNzPm83m8\n9tprGBkZQXd3N4DK1RVxDFFJN8tft3hErU374e/+rvKqCLY50gmmHZZNWmTPg+j7ZONAsVhEPp/H\nb3/7W2zduhXr1q1DIpHw3MQbpTJzmjw2M6wPUSXyJhxdXV301ltvBRD8sUL1QmVpLchlPyf3zbrM\nUy2rNd1RJWztarP0KwZDs+E0Vrq1WVn/3QzjmSz+MpMGPyaCbqYNIjITpVrjJkN5KV28eO6555pn\nE2EikcCaNWtC10w6CZFRpVZCr1c4umFGOU8N0cGtczQYooxMwNDpQ3VXTYrFIl5//XUcP34cQ0ND\n2LVrV8UKDvtbWFjAtddei1Qqhfn5eczOzlYcgcmjKhhdvHgRly9fxrFjx0Apxfr167F7925p+1XR\n+Lu5afSJrlgnDhw4YN9619PTg7GxMWzduhWpVErZz2qFRdEfNz+aYRKigtOxyTIir4Fes2YN/eAH\nP1jvaBjqQNTrZi1p5IHDYDDowYSZlpaWinOjGx1KKS5duoQDBw4gn8/jjjvusE/7ACpNG8IwtzAY\nAHfTpx/+8IfNs4mwp6cHH/jABzzdRU1j5aQxNx3ASqJ8KkWQQrzMhpTZ7bOLGPL5PEqlEsbHx5FO\np5FMJjEyMmLbSvOzY1mdCqJ+RaGORiEOtcJpadZJ48MLGX41fasBft8CUDkuuGnbxJ37sn034meZ\n0MeWwJkNuJNdPyMIm1hZ3IImTMUGXy5sAzWzKf/a176GHTt2YHR0FL29vYjFYkilUshkMvb7LL9E\nG3P2mzgWu2m+vVal/ZpCivVSdB/k6UPVmGnqmpoGob0OWgMutnkZ4vMnn3xS2f/IC9CFQgFnz561\nM4J1ZvyGLbZ5hm2ksSyrQuBIp9MVN1/xy1pugw6f8UzAYQ2bvcvO1eSP3/FqALKNi242y274NT2p\ndiDlB3BVWzSvfA4Sv0uS/HtOgr1syZN3K9ZRQt7c8MVwKl/m78DAgH2r14ULF/Dss88in8+jXC4j\nm80CAPbs2YPBwcEVdRqoHEB0J2+yQaLWqNYp5jYKqxVu5cl/VomvrK6I/jmFwf7YRrYzZ87g29/+\nNnp6erBz50489dRT+OIXv+gZBydhjA+Dxa9cLksFRTE9sgFXxWRBFAL4seDy5ct46qmnsHHjRuzc\nudPelCdONoOePDgJRnx8+e+WZeHSpUt44oknsGHDBnR0dGDnzp0r2m5QcZCh066cfgtjEiYbO8Vw\nP/7xj1f8Vi6XkcvlkM/nV9Qjv/npNj6Jv/EnhrC+ulwuY2JiAq+++ipuueUWZDKZCvlATKvTRKpW\n/ZnKOB4F/ArfOmli7zbVJsKenh5655131jsahhCIet0z1A+zYmMw+MNNg1freFSjQQ8bHc2sHw1u\nEPHjYauVAGwlnjiZ5U9nERWGzEzG6eQx8bMbzdwvP/3005ienm4OE454PI7Ozk7f7+suCXhpRWTL\nQCpLOW7hi7NAJ3/d4iHzT8e90zNZ3IL21+BNVLSs9UJ3OTGMMJ1+U2kXQfQJXv6q9B1OfY3sWdh9\nmApe/YSusFNNXqr4FZQ7Lz9KpRJeffVVxGIxbN++HZcuXcLExAQWFxft8+NjsRg2btyI0dFRW4gK\nQzDkhbepqSm88cYbOHHiBIaHh/H2t79dWkecVmlVzRe86mqQY5XsmcrYxuJ59epV/PSnP7U11vF4\nHJlMBrfcckvFCqKb9lS1LXrJLYYlZHnB8og/+tWLyGug+/r66Hvf+94Vz50GBi+inl4VvNJabRrr\nPbv0ir/pDIInrDz1628tbyEMi0aqo/Vu81GinuVGCMHQ0BAuXrxYtziEDaVvmkQCwPnz5zE5OYkt\nW7asuP2PwWtSGbrKMTd3bsonQ3PiVNaPPvooJiYmmkMD3dfXh49+9KP1jkYgiFeLhtFYq+n8eTte\n2fXBQRPlzYMqeOW1+Dulb16AwG8afOyxx5DNZpHJZLB3716MjIwAqLxaVrbcVg3iuZ8qV0d7lZfT\nlboyf52u3mXoaAGaEZlNPV+fnDQo7L/bqpQ4OfFTRrIrk3XcO+F2ZbMK4qUzss9uz1Tg35uZmQEA\nnDp1ytYmdnZ22gIgEwiZ1pUvI4bYxv0ippd95z83EryNMYPXdouw/MvlcmhtbbWfyfY/ie+w8GSb\nD2X13Kn/ZO5laRHbsewGRXYBlixdMljdcuq3VfFqs82IuFeJpXPfvn3KfkReA93e3k5vuOGGekdD\nCd2lS9UlIq932XfAewnVaG8NBoNh9dLoiguDIUxeeeUVzM/PN4cGOplMYs2aNa5ujFBoMFRHEPaq\nTv6F4b5awlquVV02NlRPVPv8IE0L/CIqV3jtopOtrmwFw81vWT2uxobezTbaDzq2+UHZs6vGyyvO\n7FSxixcv4vz581hYWEBHRwe6urrQ09ODdDptbypMJBIVqxhs5YO3rfbqc/z2SbWqz2Ei5pHO6mfk\nBeh4PI6urq4VjTaqheGFLP6Noin22zmKn2XfDfoEsQGIfw9wrpcq8XAqbz8CBVtq9btC4+a/bnxM\nXTVEhR//+Me44447kE6ncerUKczNzWHLli3o6Oiwb7DTEYSDnMzxJiPMxOKxxx7D2NgYNm/ejNbW\nVjtMmSmLW5zCtlGW9XuqgjQzkSmVSigWizh+/DiOHDlScZTuvffei5aWFs90sjAYQ0ND2LlzZ5BJ\nDY1G6CNV4th0mwjvueceVzdOS1Jh2+6o2ITquBffrcYW0GAwGAzRh40T/f39uHz5cp1jU1uY/FEu\nl1EsFrG4uGjbAbe0tCCdTgOQa0jDHt/NStHqg1KKn/3sZ5icnGwOE46enh586EMfCsSvqCyvrqaG\nGbUJWhDLTbLfZBu92Hf+7/nnn7c3D87OzqK3txdDQ0PYsmXLinrBNr6Iz7w0I34QlzpFf2XuZH44\nPVchTA2TW5iAWv7VM36y7/xyr6yM+M983PnNbG5L2mHEn8epHovxlfnplC/86Q6MfD6PVCpVYSJA\nCHHVNMlWPGTp4ds9C/fZZ5/F2NgYpqenMTg4iJaWFiQSCaTT6RWaV7bJTQzTC7Ee8HFgwuilS5cw\nOztra0a96rZbPqgiuuc/s3paKpUcN+NRSis2XrqFY1kWkskkKF26NKe7uxvr16+3tb6y+q6TBt02\nIKaV94t95v+LYQaBl3mOYSViPXv22WeV3428Brqzs5Pu3r273tEwGAx1xo9pkxk4DFHFCDYrUZ1Q\nRV1uCYKoKPxUiEo8VHAzKwWAF154AXNzc82hgU4kEhgcHFzxvNqZsdszgyEMguj0Tf00GAxujI+P\n48SJEygUCiiVSrZGulwuI5lMoqOjA62trSCEIJvNIpfLIZFIoK2tDYQQ9Pb2oqurC9u2bUM6nYZl\nWThz5gxeeuklzM/Po1wuo729HQMDA9i+fTsopVKNK0O2IsLDT4yb9cg0oHKlgP1nK0iFQgGzs7OY\nnJzE8ePHceutt6KnpwdA5RnYXtpxlfFB1bbbj9+NDEtfMplUfyfqM7mBgQH6/ve/v65xcNskJVvi\na/SKVs1GsnpS7/D9oLus6rSULJtN62zic1vG99q8p9MuVDtut4E0SA10VOqMar7J3Dn9xj/TDT/I\nNEWVIOKnqpipxv/FxUX86le/wqZNm3Ds2DHceuut6OvrC9UUIAgopSgUCrAsC6VSCc888wyKxSI2\nbNiALVu2rLgTgTdn4f0AUHGCiA4yEwrm1+TkJF5//XWcP38exWKx4j1mbmJZlm0yxCYJzEyGmeww\nf+PxOBKJBLZv346bbrrJU8iNcttYzfzoRz/ClStXlCpaQwjQH/zgB01lazB07fhWM042g1642dTV\ngigN1gZDUNSyX9qwYQMuXryIbDa7atsTn9+8/TpvV87sotlzmVY7iPxr5DLQmSwb5FBK8cMf/hCX\nL19uDhOOzs5OvPOd75T+5qX1Et3xeGn+nBqlk6amGSplNRsnZDN9mTsGW7oSn7lpzmqt0dIJi2kp\n+Pf4DUZi/eS1ISJ83fOjcXH7TVZnZVpLL8xGFf/ItMzib+Jn/ru4BCwuobPf+Of8Zi2mKQuqPYVt\nBie2K/aZv92NaQyLxaK9SY1SinQ6bS/Jiu1KJf1+tPks75mm8vjx45iamsLatWvR0tKC3t5e+5ze\nRCKBsbExTzMHFcT8qaZ8dfqCIKmmPop5KPa1Xu/KxnpZnGT1kf+Nb6OWZVVcTy4rZ6e+M2orDE71\nSWcFzCn+uu5V3/UjQ/ziF7/wDNP2L+paQLOJ0GAwGAyGaBKkDNGsk3DdPHKaYKuG4aRM9EOzlomT\nML1///7m2kTodRNhUHjZIDo9020cunaM4ntO7tziohJWIzSUqE/4DM1FLZZEnVa0nFZ3/PQ7uv2J\nqvYmiP7ST/+nkla3eOj45+a/ir9e4fiNRywWg2VZmJiYwNzcHCYnJ7GwsADLsnD77beDEIJjx45h\nfHwci4uLoJTaG9IymQw2bNiAoaEhdHR0rFhN4j+z98QVQ3ZpyOTkJPL5PO644w77aMBt27ahpaUF\nhw4dqtD8u61W1EvrHQaillpclbQsC/v27YNlWRgaGsLw8DA6OjrsmwT5FRInzbgYVjUrDir9ilt7\nrneZBbWaBjTZJsL+/n56//331zsaSqguCQLeA7NKRTYYDAZD83H69GkcPHgQ3d3duPbaazE6Olrv\nKPmCH8OY8Hj48GEUCgWk02kMDw8jFoshk8msEFzE85tFQY0JmW1tbUilUmhvb7fP2KeUIpFIYHFx\nEdls1ral9iPvhCUg6kyyRIIQGIMUOpuJRx55RHkTYeQ10IQQpNNprRm8l5ZBRxuro1GJor86fjg9\n8yqfajTbKrNenXj4SYObH2Jcddyr5q+qRo59jwJRiUe1iPVT1IL5bYtO5afaPqvR3sp+b4Z+jU+T\nk7+NUC/j8TgGBwdhWZZ986BYblu3bsXWrVs9y1ykHkKRbpgyk0zV92V1PZvNYnFxEdPT01JZgBCi\nfZmKE41QvwzVoVPGkReg29vbcdttt7k2MNlvsk6H/69CtcJhUEStwwyaZoq/12eV+uNUp0SBgr/B\nTPxd9E+1rurWaRXBRvbMa7LjFAe/k6Na4KcvCDINlNIVecOeMZgWUGeZ0i8qAr8XLP6U0goTAnY0\nmmVZOHHiBMbGxgAAHR0d9hK4eH6uGI8gkAn5LL7M7IG5KRaLeOKJJ5BMJnH69GmMjo5ix44dSCaT\nKzaayeLMx11VqSDG0SkNsve83HmFXY/2qVu/ZDciuj3j4cMRN4yz57zcoRofABXhN8LZ2GLeBAmf\nJ25uqo0DC+df//Vfld+JvAlHV1cXZQI0XwGraaC6Gh0vbYiKhsBNU+RXyDAYmhWZJljEa2Lp5bfb\ne9W0M6d4qU4SDAa/1GJ8CFOBFIXxTWWc9Vr50cXpfX5SJhMQnTTrskmETH5aLX2Qm0wm/vbss89i\nZmamOUw4kskkhoeH6x0Ng8FgMBjqTrlcxszMDC5evIhjx47h5ptvRiaTwfPPP49Lly7Bsixbm5ZI\nJJBKpXDTTTdhw4YNgcaDXx0AYN98ODk5ic7OTkxPT+Paa6/F4OAgOjs7kUqlVghslC4d91coFDAz\nM4OZmZmKs6CD0CyGDS/kis8ppcjlcnjmmWcwPz+Pnp4e9PX1IZ1Oo7OzE319ffaRhoD7pLpeq93V\nKPCqMd2qdlLiR5FJKTWbCA2NQ9TrnyF4VDU8hiUaYeWpmsHVsAQhBFNTUzh27BhGR0exbt26mmoJ\nw17plAmaonAs3k4o+yz7zvz1u/LUKJg2Ux0q7eknP/kJJiYmmkMDTQixj8aJAroV2M1cQ9V/02iq\nvxggCgShSfFjD6e7JOn1rJ4EvXRaSxohvo0Qx7Dwm3bVtmVZFmZmZuxruGXvDQwMYGBgQDsOqwHd\ncVflWTWE2ReaNujtLgx0J6yR10BnMhm6bdu2ekfDEDGivqwXNG5LmSqbLOqF3yVYp4lCFNNoMBgM\nhubg2LFjWFxcbA4NdCqVwjXXXFPvaBgMBoOhDjSCHawbYcdfpgQTN51RShGPx2FZlvLpJ7JNZ7FY\nzL6sJR6PI5PJVJh+1GqFym3DfZRR2SzIu8nn81JTFvafP71FdCN+5p852SDL3OqmRYUol9Pp06eV\n3UZegI7H4+ju7g41DFHb5XZ0TbOzGtNsMBjCoRGO4KoVfvtVXlB55ZVXMD4+juHhYbS3t+PZZ5/F\n+vXr0d/fj56eHnR2diKTyQQSX6ey6+/vlz7n05dKpdDV1WUf4wcAk5OTK97hBalYLIbOzk50d3ej\nWCxi//79GBoaAiEk0HrkpxxkwiJ/dF2pVEKhUMDU1BQOHDgASimGh4eRy+UwNjaG0dFRpFIpAP6O\n1DXUjng8ruw28iYcbBOhn+OqDIZaHevEMPUxGEw+GlYTlFI899xzaG9vx/bt26WDeKNoWf0gal4Z\nYdjkN2P+GYLj0UcfbZ5NhMlkEuvWrXP8nW8MtZwMrObNNgY9LYbfelKLjj6qGkIzyBlUiGIfLPYN\nk5OTuHr1KjZt2uR6I15Q13VHMU+A2u5fUDkWTuX3oKlV2VSTrqjWn1rBVgpUiLwGur29ne7YsaMm\nYVV70oPXGYpe4frB76H2UbIhq3UdVD1tQnZGJP/Z65kIfwKLlzuveiQrd7cyVTl3s1p/vfzwyks3\n3OqISl5WW691zxNl77jVCz95qVsHZf42syazEYjKmKsi0HptXna6vU+8RU9VeBaPsYtKXtWT1WRS\nqXszpNdtkTphsbr36quvYmFhoXk00OYiFUOzE+ZAoSLc+3EfxADn5IeOHVqUCWpCLg4WDK9BxdBc\n8HVJtvGMEIIXX3wRFy9erLhGPJlMIhaLIZlMwrIsWJaFnp4elMtllMtlzM3NIZvNSsNkNsiUUrS0\ntKCjowPJZBKJRAKbN29GS0sLYrEYjh8/jlwuh+HhYd9jtteKWCPUa7G9u33n27dlWSgWiyCEoFQq\nIZlMoqWlBQDsjYJuk95qJsROE/jVyPHjx5XdNoQAPTQ0VO9oGAyGGhLUhKIRtFhhDFb1SLNKXkex\nPKqd5ASJTLg6dOgQ4vE4Tpw4gQsXLuCaa67Bjh07MDg4aE80+XisXbs21Dg6MTIyYn/mhXv+vxgf\nlbglEgksLCzgySefRDabRTwex3ve8x60tbUpTbSvXLmCXC5n/wHA+Pg4zp8/X3HroW4dSCQSSCQS\naGtrQyaTwdq1a9Hf34+uri4kEgnEYjH7DougN0IawqOpbiLs7u6md955Z2j+qzRgp+XnIONQrwHP\nUD+i1vaiVB904xKkwB1EGE7+RK3MVYii0NssvPjii0gkEhgeHkZfX1/V/kWpDesQRP2qZ9pVJo5R\nIuwVT68wxPyIUv489dRTuHr1anOYcHR1deHuu+92/N1puUFm5+dwdU1PAAAgAElEQVRksyi6M9QW\nr8bcSIN32EuMvE2hTKPh1w6f4ccum//uho4gxtIW5nJiMwmGsnTInjnZpLNnOmY+tUIlPn7iLI4N\nKnWcf88tzPn5eTz++OM4f/48crkc/viP/xipVKrC3AYA7rrrLml8apG/Ua77QbZ7Wf8XtplCVFY0\nViPV9usHDhxQDyvKjQgAOjo66K5du5Q27BgMUacRbPiigFnuNBjUMH1K7TD7DJqfl156CXNzc82h\ngU4kEujv79fakSlq6fzs6lTd3am6scfNvSqm0RoMBsPqRdwwODAwgPPnz2N+fh533303Hn74YZw7\ndw47d+4EpUsXfExPT2Nubg4zMzNIJpO4cuUKyuUyenp60NXVhVQqhfXr19vKKH6coZSiWCyis7MT\nuVwO5XIZt99+O3K5HBKJBC5cuADLspDP55FOp3Hp0iXE43G8+OKLOHfuHK6//nqsX7/etgX2IkgN\nrNuKs1u41SrjKKUV+SeLE9swyIfNbhVkRx2y5/XWSovyTNSpVgOtWleBBtBADwwM0AceeED7vXpX\nuqCJ6g7ZIJfBo7KkHoU4uOF2XJnKe16/qR6RJotPUOiYhhgM9SCo/krmx6lTp3DhwgVMTU0BAPbu\n3YuBgYEVyhgdvE5xcItXkH2zjm2smx/MbalUQjabxS9+8QsUCgUQQuz/yWTSFuATiYR9nfk111yD\nzs5OR5O4ahVVstuN+bOpnUxM/ayoq/br4jNzpKWcH//4x7hy5UpzaKDZLNpgCBJVu0oVwVH8zGAz\ndzdBVFdwZYOgzKbPKR4qqKbPK81u+aWDk3AQlUmWjCjHTRVVO+B6E+SEUcfPICiVSnjqqaeQy+Vw\n77332kfE8YyNjWFsbGzFezy8Npqhm+ZqqKatBx2XdDqN973vfVrvsCP8+O9Bwfzi02lWjxsDnXoZ\neQE6k8nglltuqWsc/MzU6t2h1DucoGnEODOC6DhVtU3NokkQNxE2cvkb1FHdDOlmUidSTZvQfbdU\nKuFv//Zv0dbWhj/4gz9AR0cHgJUT3Ntuu03qPz9JdotT1NqD38mI7kZkP5ix1aDDU089pew28iYc\n3d3d9B3veIf0tygtP5jZpX+iXgcN9cEMSIagaMa6JBtzWBqDOrlEhttpJm7PVGD2v6qnoayGMg0K\nN7MSp1Od/NDostC+ffswMzMTrAkHISQOYD+Ac5TS+wghvQAeBrAewGkAD1JKry67/TyATwGwAHyG\nUvrz5ee7APwjgFYAjwH4E+rRAuLxuD2Lryc6mwhrgUq4fm4pU9lMqepHtfEPk3qHX2/C2E0etF8q\nA6TKDX3iM90b/apx73djs5cfTnmm469Xfum68bsR2wu/V/S6PZOVh1tavPxwezeI+sYLxm1tbZie\nnsbBgwcxNTWFt7/97aCUolAo4OrVqzhy5AjWrVtnX+bR2tqKjo4OtLe3I5VKAVgp4AYhPDm11Xw+\nj3PnzuHUqVMoFovIZrMVbnlTlHe9613o6+tbcUFKEPUoSMT4y37jNxPyGwZLpRLS6bTtPpFI1PwI\nQz80wgbCIAhlEyEh5E8B7AbQuSxA/w2AKUrplwkhnwPQQyn9c0LIdQD+GcAeAGsBPAFgC6XUIoQ8\nD+AzAJ7DkgD9VUrpz9zC7e/vp/fffz+A6s6oDQrZklMtZ8Z+te5RbJQyGz6DOqIttIqttq4fKvXd\nLSzVuIm/rZbO2rA6kQmBTHg+fPgwDh8+jN/5nd9BV1dXhZsgtb1RQdWEw49WuhZaatVN1LK4sudu\n/bBXv6nqh5u/qnt9ZOFHyRIgCH7yk59gYmIiOA00IWQEwL0A/g8Af7r8+AEAdy5//iaAXwH48+Xn\n36WU5gG8Tgg5CWAPIeQ0loTvZ5f9/BaA9wNwFaCX3Vb8d3Pj9SwIwlzCWk3odJbNQtDpkmkuvJ75\n9cPpu5t/KvFQiaNTONUI937DUfldHGD4AUz2nqp79sxtwHOLm5+Jks7ER3TDh7Ua4fPmkUceQTwe\nx8jICLZu3Yq2traKvGFa1x07dmDHjh11iW89UK0bquOsbn8VBCphOLlR6be90qna97v5qxqWivvV\ngqqu+j8B+CwA3pZikFJ6YfnzRQCDy5/XAXiWc3d2+Vlx+bP4fAWEkD8C8EfA0r3k7GYYp6VHN8Ja\n7glqWdHgThSW6wy1p1pN+GpDdxCT5d1qHghrwbp1S8NdqVTCoUOH6hyb+qEy8WOoThSZW4OhWhYW\nFpTdegrQhJD7AFymlB4ghNwpc0MppYSQwEYzSulDAB4CgJ6eHrphw4agvDZECD8CUBjaLCOIRQ++\njIMon1oOrjJB368WO4w4GRoXvhydjmBjpnF+TOScVp5Y/YzFYpiZmUGpVEJ3dzeSyeQKNwDso/l0\ntMvMfz6dquYRfhD9rfVKiaxs/K6QeYVjJhfqjI+PK7tV0UC/DcD7CCHvBZAG0EkI+TaAS4SQYUrp\nBULIMIDLy+7PARjl3h9ZfnZu+bP43BVCCFpaWhSiWR26Gi2dmXFUcVredcNtkNfNPz/vGQwGQzMh\n9n+U23wmCsnlchknT57EzMwMurq6MDQ0hNnZWaxdu9Z2F4/H7Y1pvFAK6E3KZAI0AHR2duolUDFs\nSikWFhYwNTWFS5cu4fTp0xgdHcXWrVvR09PjunHPy1/ZO06TEV1/2WeWR9ls1p5YsItbUqkUEonE\nivFWNg5GZWW6kWUbHcR06uS/1jF2yxroP6NLmwj/FsAkfXMTYS+l9LOEkLcA+A7e3ET4JIDNVL6J\n8O8opY+5hdnX10fvueceWVyUDOBV3ft9V1WzJLNt9HqmEt8g/QjLX9U0O+W5W3k0E275EFT9Ccvf\nav1Y7fjNB90+zGii6oebRrhQKODw4cO4cuUKtmzZgtHR0YrfgxCq+LbIP1Ppe4Nss151UNV/0R/Z\nWOInro3URrzGUZk7P2GE3UerlJtuvdStsyyPHn30UUxOTgZ7jJ2ELwP4HiHkUwDOAHgQACilhwgh\n3wNwGEAJwKcppdbyO/8Bbx5j9zMobCBks3E/jUAlw3QHn1oOQjoVyCstOp2STr6pIMuv1TCYi2kU\nBUqZe8B5wuY1+XDKT1Uh1829wWDwR7lcxr/9279hw4YNGB4eXjHIA0tHZ731rW919cNgaCaiciRh\nNUT+IpVMJkOvu+66moQV9bwwRBdTd4LFCO7VE1SdNGXR2NRaeyg+U125FN8VJ/s89e5v69EmgmzP\n1SrAmpkjR45gYWEhdA10TUilUiuWswy1pRlmigaDwdDosBVZALAsa8X/bDaLs2fPYm5uDpZl2cLS\n0NAQrr/+ekxOTgIA2tvbUS6XsbCwgGKxiGKxiMnJSVy8eBGWZaFYLNrhMGErkUggnU6jt7cXyWQS\n8/PzmJ2dRX9/PyYmJpDNZpFIJLB371709fVJBWPePxl+TFVUTBeiQL2F/qgQlrlateY7rK689tpr\nyu9EXoBOJBLo7e2NVENoRlRMQ1YjUUx/mGY2QdgPBpFfUbrJUrw1zmAICqfruEulEpLJJHK5HH70\nox/hjjvuwK5du/D4449jZGQEyWQS8XgcLS0tK/Y2bN682bGeihezRA1Zfpw4cQIHDhxANpsFsLQx\n7+Mf/zgIIZ43lpZKJZw8eRLFYhHJZBKJRAIzMzNIJBKYmppCqVQCpRQdHR1obW3F3NwcCoUCWlpa\n7HO529raUCwWK8oEANLpNBKJBDKZDNrb2xGLxexJBuszUqnUivKR4XRjqYiqkKiq4VcRSIPYu+Ll\nPgj75WpNVHlzKlUib8LR19dHf/d3f7fe0TAYQiGI9mcmlwZDdGFtXNbW9+/fj4GBAVy9ehU33XQT\nLMuyhcJ6YVYcDauZn//85zXZRFgT2GxcV3XP3pXhdwZWb1Q2Ojq5i0oaGFGLT9RZbfkl2zRpMNQb\nnTb405/+FPF4HGNjY8hkMhgbG1vh5qabbgIAjI6OolQqAXjTJMMP9egnwtRMBomsH/E7puoeQKD6\nm9Mmb117cqeDD7y00rJnumEGkZfV2NC7oZJOHf8iL0CXSiVMTEzUOxoGg8FgMChzyy23VHxn9scG\ngyG6sImsCpEXoJPJJIaGhuodjVVHMy3jGbvVxqNZ6p7B4AfR7IP/zwZ4Siksy8L8/Dz279+P3bt3\nAwCKxSLWrl2LbDaLxcVF20+2yXBychLlchlr1661L1xhttTxeNxe/eFNSdz6UOaGvXfmzBm8+OKL\nsCwLQ0ND2Lt3r21P7AZ7XzVv3NxGfdVK1HI62TGrEPW0Nhr87ZpeRF6AJoQglUrVNDzdo3Z0j/BR\ncecVZhCEtTyu669qHrk9k8XBL7IycXKn2uGLS2gGd7yWH5025ui2XdFf3Xf9pEH0SxamW5p1llW9\n0myoHbI+id0uyD5TShGPx/HrX/8a58+fx44dOzA4OIhEIoFUKoVMJoN0Om2XHyEEPT090pOq0uk0\nenp6al7O27Ztw7Zt20LxmxCCcrkMy7KwuLiIhYUFHD58GNPT05ifn69wByzlwd69e9HS0gLLstDZ\n2WkLSHxb0VWyyOzUxbYoi7sfvN5z6ztEP6oxQ/FjwhGknKT7m1PeePW5OuUUeQGazbLdBCKZTU2t\n8VMxZe75Z6sVFTuqIAnLX5UwvcJ2qtvVClZBCGyyuLr54ZQmp3R6dZw6cZOF5cffIJ7pxk23nN38\ndXomy3/deItxk6XHz6DtlmaV9FXTZpz8c3PHvourKOz5lStX8Morr2B0dBRbtmyxf2dCHCEE73jH\nOxzTx//Xre8qafaqF255qRIPJ395v9zSQOmSwNve3o729nYMDg4qp1+nn/DCKb9k6WP46YfZd7cw\nVfwQ4+2WJid3fvsYr7JnbUW3bbvB+6sSX9V6zBN5AdqyLMzNzdU7GoHBV/BqOqCwkXVkbh2cG17v\n1SpNQdBIcWWoCL1AtLSSUYlHVNEdyFT9Ux0Eg4xvGO+JfgD+JnYyeDei+3Q6jR/96EdIpVLYsWMH\n1qxZg1gsVuGuvb0dt956KwDYR7MZVuK37GXlbDCoomM+GHkBeuPGjfjud79b72gYIkQtJxKG+mAG\nPkNUaaT+x017zLtxam9BaWpVaZR8rQWmD6wPt912m7LbyAvQr7/+Oj7xiU8ouVXp2ILQZqgsO+ou\nrYWlZdFZnpO501361Ymv6SxrSxTzXDdOQSzB+w1bJ44Ggy4yzTZ/pF25XEahUIBlWXjLW96CJ598\nErFYDNu2bcPExIRt2hCPx+3PABwv9QAq66rKRkFdSqUSTp8+jZMnT1bYKMtIp9O4++67QQix48zS\nIjOTCBKZn/XqL1XSV+s+JmrjRpi8/vrrym4jL0DH43F0dHS4uvGq6OKtPlEUJAzNQ6OeIBGl00pU\n8rDRT4oRbzjUSUuUysqgjljGxWIRlFJ7A+HY2BgefvhhbN++HZcvX8bWrVuRTCYrzP4IIZiensau\nXbtsf2SbCKNCT08PbrzxRqU6LtZr3fatYxIJmMmuYSU6fWvkBehyuWxfndmI+DX6V9Ue69pR1xM2\nkeH/GwxOqGjE/NgBB72ZKCyC0JhXswHHzU01G5F04tGI8Kdq8PzgBz+wT9C49dZb0d/fX1HH4/E4\nzp07h9tvvx0A0NfXB6BSC93sAp94iYzYB6hqor3Gymasd6sJWdnyz9lv1fitQuSv8m5ra6P8TmUV\natFAVAaYZiXqdcZgMBjCwghg4dIIyiDA1INm5fjx41hcXGyOq7xTqZT0ClRD8xGVzigq8XCimSdn\nqwEz8BqChK9LvNabPfcyb5T5oxoeMykRP8t+V0F24YppKwYVgupXT58+rew28gJ0LBZDJpMJdQNB\nvVDd/OT2rtN3nfCrdRPGu4bqaPS8r7XZk9szniD9DcqPRiOMMgrbjzD9leUNs4tml4asXbsW3/nO\nd1Aul5FOp1EsFtHS0oI777wT2Wy2YsOgCH/ph259cUqzCmL6uru7QSnFzMyMVNBeWFjAb37zGxQK\nBbS3t6OtrQ2WZWH37t22YM3no2pc2DuieQjgvvdAlpdu+aAaH5kfuiZRXnULqN6cQSUsXb9U3w1C\nJlL9TUTHBjryJhx9fX30vvvuq6sAHZQwolO4XhVIRYDW6bjd/NWNu/ibW1r85KtXmKK/YTd2Vf9U\n/VUtIzf/VMtetSMOUpj08oM9Fz/LwhLRTbPob1BtvdFopnSr9JdhhsUj9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cTjcRw8eLCi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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(12, 12))\n", "plt.imshow(M, cmap='gray')" ] }, { "cell_type": "markdown", "metadata": { "hidden": true }, "source": [ "**Questions**: What are those wavy black lines? What are the horizontal lines?" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true, "hidden": true }, "outputs": [], "source": [ "plt.imsave(fname=\"image1.jpg\", arr=np.reshape(M[:,140], dims), cmap='gray')" ] }, { "cell_type": "markdown", "metadata": { "heading_collapsed": true }, "source": [ "## SVD" ] }, { "cell_type": "markdown", "metadata": { "hidden": true }, "source": [ "**Review from Lesson 2**:\n", "- What kind of matrices are returned by SVD?\n", "- What is a way to speed up truncated SVD?" ] }, { "cell_type": "markdown", "metadata": { "heading_collapsed": true, "hidden": true }, "source": [ "### A first attempt with SVD" ] }, { "cell_type": "code", "execution_count": 43, "metadata": { "collapsed": true, "hidden": true }, "outputs": [], "source": [ "from sklearn import decomposition" ] }, { "cell_type": "code", "execution_count": 44, "metadata": { "collapsed": true, "hidden": true }, "outputs": [], "source": [ "u, s, v = decomposition.randomized_svd(M, 2)" ] }, { "cell_type": "code", "execution_count": 45, "metadata": { "hidden": true }, "outputs": [ { "data": { "text/plain": [ "((4800, 2), (2,), (2, 11300))" ] }, "execution_count": 45, "metadata": {}, "output_type": "execute_result" } ], "source": [ "u.shape, s.shape, v.shape" ] }, { "cell_type": "code", "execution_count": 46, "metadata": { "collapsed": true, "hidden": true }, "outputs": [], "source": [ "low_rank = u @ np.diag(s) @ v" ] }, { "cell_type": "code", "execution_count": 47, "metadata": { "hidden": true }, "outputs": [ { "data": { "text/plain": [ "(4800, 11300)" ] }, "execution_count": 47, "metadata": {}, "output_type": "execute_result" } ], "source": [ "low_rank.shape" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "hidden": true, "scrolled": true }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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Ynj7+7TcA4M0AsAaAXxuG4ePH118FAL8DAPcBwEcA4NcHh9U8ODiAr3/9680J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\n6Ojo6BCg1RSOjo6Ojo6Ojo6Oj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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(12, 12))\n", "plt.imshow(low_rank, cmap='gray')" ] }, { "cell_type": "markdown", "metadata": { "hidden": true }, "source": [ "The below images were created with high-res data. Very slow to process:" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "hidden": true, "scrolled": true }, "outputs": [ { "data": { "image/png": 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wNMqWtZGz/IlPfAI/+tGPpK6hUAg7d+5EOp1GqVQSOSwej0uaWTAYRCKRkHZn\nIJZMnxgQjUaxtraGVCqFgYEByQMloeB4YgoapbRWqyWb1NxMuSVAUw8k6lyk1QQaFrq6Wr/iw5NZ\naXq/srKC0dFRsVZ0q8rlMl5++WXcdttt8Hq9GBkZEdGfSdY6qs2Bp+uoU0HYgQRMLuGizpRKpTA0\nNCSR60KhIK6B3+/HbbfdJp1PkNERaM3IgE3rzsBTpVKRFCcOnmKxKCuYeK7W8hikMd0dPjN1WZ5P\nd5gGbW1tDUNDQ+jr68Pc3ByOHTuG8+fPo1KpyIooygt0Ca9n0bU+Z0oqpvBvFjIbHt9ut/F3f/d3\n+OxnP4tvf/vbcg2CP3Vk6rrak+CEBOAAULONdFCPQKmzILT+qd1HXoOFhoXH6CizWXTEWQdM6Nqa\nBojX5bnMUd27d68Y+7W1Ndx5552Ym5tDOBzG2toaSqUSJiYmRGJqNBpYWlrC7t27BXy63Y1NMnR9\ntXvN9mm1Wjhy5Aj27duHO++8E0eOHBE2rQ2S2de6v+lxrq+v4xvf+AZse2NBR6FQEI8jFoth9+7d\nADaDgQR8LppIJpMyV7VsNDqqd7K8frklQBNwdjxdc+bWEfDo0vp8PlSrVXHfyfqYesGcrGg0KsvF\nyADIFjKZDN555x0ZeENDQ6JvcvDqdCOyO04w7YLyf55fLBZF50ulUhgcHJS1tWfPnkWxWERvb69Y\nN52grd0oPo8pE3BCE2TL5bK43wzMsJ1MQNTsTGtwLAQBnStKaYCBLWBzXfz6+jqWl5dRqVSwc+dO\nnD9/3rH8kMnKnOTUiNnXplvGOriND/M7/TfdcwJFu93Gq6++iieffBKpVAqlUkkmCnNBmb/JZ+Q9\nCPQEAG2syJ7Y56ybZtQcQ2wDPrdmi+Yza13bTMDWz689BDIwSjr8XEfEdXRdB97K5bKkpnW7XTzz\nzDN49NFHReOenp7GxMSEAHGhUMDY2Jh4Lhxn6+vrjrYzA5eNRgNPP/20MHy2BeuqCQiDhnolHtuN\nxqe3txef/exn8dJLL8Hn8yGRSKBYLMLj8UjaE+cmNU3+nclkEAgEEIlEZA+GN998E4VCAVevXr2m\nzbcqtwRocsCx4ev1OhKJhGhkZJdMZgYgrjsjnlxhopOi6aaWSiWEw2Fxz8vlsmygcfbsWdxxxx3i\nnlO8p2vDAcd6MGWB4jnr3Ww2ZTVOKpWSJOpjx47h5MmT6O/vRyaTkW3l6FZxGzcCrtZoNINlcIXS\nBOvF3V7eKiYgAAAgAElEQVTInsikOMg0g9IDm59p11B/pnU8XhuAGIHDhw8jHA7jO9/5DiYnJyXP\nkjmYfBZOFk4AvdpKg44Gd8C5gQXrZbJJs7466kq2+E//9E/4+te/jk996lMANta1M9OAQSRgMwil\nPQgduNPtxvrxXiYL1cyV/anPdcsJJNCZx5r31kxUg7qpMRIouNyUWSGBQAC1Wg1Xr17FoUOHAEDW\no+/YsQNXr15FJBJBJBLB/Py8zL14PI54PI7jx4+LRprL5a7pD3OM7dixw/GqE45NvXWcZus6OMVn\n5HMz+X50dBSPPfYY1tfXUavVpB9ZLxo2XpvzZ9euXbIR8zvvvCMZHt/85jcRiUTws5/97Jp2dyu3\nBGhSCGfaBpNzaWVoUTmJ9STkOdFoVNbdMueQQZF0Oo12u42enh7pQO4M9Oyzz+JnP/sZQqEQ1tfX\nZVs4shU9ef1+PxKJhCSd02XgrkCpVEqis6+++qoM0rGxMSSTScek4CTl4NCpRuxwvsrBtjdW6/h8\nPnmPD4+Px+OyxphWmvXSqT560PL5gGvzXVm0y8jrhsNh7NixA2fPnpWUk2AwiAMHDqBcLqNWq+HC\nhQvCwHVghCkz2jgC104y/k1JgG1CA2JqoG711ufMz8/jpZdewkc+8hEcO3ZM8vOoZenAjZ5gDATx\ne7I5GjHtOmqgMzVg/Sxa0yS48jymknHCX2+uaCOjo8NmypWuG/N7fT6fxAiOHDmCZrOJ8fFx3HHH\nHWi326jVapKSc/r0afH0KPsMDQ1hdnZWArbaw9OuNe/75S9/WTJVOG81wJppZ1pm4DOxX0kE3nrr\nLbz55psSpadx5vE6kNnX14darYZ8Po/Tp0+jVCrJ61nW19cRDofx7LPP4gMf+MCWbW6WWwI02fDa\ndeNekXrvRjYIV5dEo1E0Gg1plGaziZWVFcRiMdRqNeRyOZRKJaytrUnggpojtRZ2XL1el2Rms1M5\nEMPhsKzF5hrz8fFxxGIx5PN5PPfcc47PotGoI3ikmSlBnyyZk5y7JfH+1FZpmfP5vEPY18DOjTTI\nPrib0FaMUrMXHUjgvfkdJ02pVEKxWERfXx/W1tZkey4CdCqVwvT0tDBhatIEimq1KlFUXlvLBDpn\nkD9m0ETXF9hcOUV2pZdlEuj++Z//GX/yJ3+Co0ePotvtolQqScaFXmHFQuDUddTtZ65K0ufp9Cmt\nd2vjQOBjP/C6+l5bFY5JGiAzFsB2Yf11NgQXSQQCAYmIFwoF7N+/Hz6fD88++ywef/xxvPrqq5IR\noZP5Y7EY7rzzTpw9e1YMN/cH0Dov79tub6xNX1hYwP333y+bW8diMXzqU5/CV7/6VTSbTTz//PPo\n7+/HbbfdJrsbse3p0uuYwsSvNuvm52xrxjRoNMmQDxw4IGRkeXkZAHDo0CFJqzt27Bhef/31Ldvc\nLLcEaHY6HeRyOYTDYXFZyRiXlpawuLiIvXv3ygN7PBtbrXW7XQwMDAAAxsfH0el0MDExAY/Hg7m5\nOdEOZ2ZmYFmWbFxB1nflyhVZi3377bc7ImwUmskwK5UKWq0W7rnnHknPCYfDuHLlCi5duoRoNIrd\nu3fLGnITpJgozUHMCB71SmAzvUezPxoSMx2Dr95otVqo1WoygTihmD8XDoddgxhadwKckXNgM9rM\nyQFssC2+ryifzwOApPNQ/NepKmwHbkzCZG8ObLaHfkYOeO6oo+tA9kaPQ7vhvJ9uq0KhgL6+PrRa\nLXzve9/DF7/4RXzrW99yGD1ehxowWT6w+RI19p9lbaSb6ZfTmQxTg4be0k1H0PVxPJ/b0um8T7ei\ntUsCE2Ur27YdY4zjSRsVj2djkUa1WkWhUEA2m0WxWESpVMKHPvQhfPe730V/fz927twJn8+HyclJ\nqc/09DRGR0cRiUSEnFCm0t4Px31fXx+CwSBef/112XA7Ho9jZmYG3/3ud/HUU0/h2WefxcmTJ8UT\nnJmZwV//9V87sgn4bAT+QCCAiYkJkVmor9J9p9ELBAKYmprCX/zFX+DQoUM4ePCg9PfCwgIAYHBw\nEJZl4bHHHsO3v/3tLdtdl1sCNHO5HP7hH/4BgNNd0xpjJpPBysoKSqUSgsEgFhYWsLy8jNnZWRQK\nBUcEkw04MDCA/v5+GTRzc3OoVCq4fPmyACTzxDKZjCRHc8s4r9crru/hw4cxPz8vuXHLy8siCezc\nudOxOgjYZHIc2Jox6ag7BzgnlmZ2mj3oPE9eQ29eTLauXRNaVw2Q+kfXx3STGWDTUUyfz4df/OIX\nkhLm9XqxsLAgdYxGo44NYMlCCTg6eMLr6qg+4GR2+vl14I2TQoM/Ny0BNjeuYEDQ5/PhZz/7GZ58\n8kkxXkwp04yS/cZrkCmzDbUmS5Awx+v1iumSm5+5aZlbXUfLLWZAks+g60NvrdvtSo7i0tISMpkM\nLl26JO/P+a3f+i1heDMzM5icnJS2uXDhAoaHh9HX14fp6WlZd04Zie0GbBicw4cPo9Pp4M0330RP\nT49sLciX/nk8HtElO50OLl++jEuXLjmi59ob4bNHIhF86EMfwrlz53D+/Hl0Oh2USiWEQiGsra2h\nXq9jbGwMO3fuxF/+5V9idHQUfX19soKNLNXj8eD222/Hiy++eMO+0+WWAE2/3y8hfw52UnQygna7\nLZvoMrdxdHQU2WxWNEYGjsiC6vU6lpaWJMk3EAggHo+L68pUHrrquVxOXLpgMCjraDOZDGZnZ7G+\nvi77M46Ojoql5cAnW6FbTVDQE0prOvwfcL5dj8+uXUxqnHpLNIIX0zfo7jMCyrqYAGkCla6LjvAS\nqICNwRoOhzE3N4eBgQFEIhEkk0ns2rVLmFcoFMLS0hKmpqZED6TBYNoRr62/4/V10AVw6rysr06D\nojHRbaivw/PIQP/2b/8W//f//l984QtfcGw+raP4NDoEZf7Pe5mapilz8HMzUGW63W66rn6Gmyla\n2tBAqYNULNyRi55Hq9XCzMwM/vAP/9AxHtieWtOOx+MCRt/5zndw7tw58QYBCOMmgNOgjI2NwbIs\nnDp1CplMxrENHJP9l5aWJFUOAObm5tBoNBwJ/nwOpnFZloVqtSovLgwGg9i3bx9OnTqF3bt3IxKJ\nIJPJoNlsYmhoSLymbDYrGzNPTExIjKJSqWBmZuam2hy4RUAzGAxiYmJCLBCTZQkk9Xpdludls1nR\nFSORCIaGhsRloHulI85kGsDmVnJ79uzBysoKIpGIpGzoNbGWtZHmw42A+X7z1dVV0X+4MoarMfR7\npXkvXbReaIr1eqDr5GjtGjO489RTT+Fv/uZvJFl+fn4e4+PjAtrAxm5M3O2Hn5nBCg5yHRDSE9DM\nj/X5fCiXy7JDd7FYRC6Xw+XLlwFA8v/OnTvnajC062xGTnl/Mjk+vzZIJrPSwMXjNUjoa7ENX3/9\ndTz11FN4+umn8Tu/8zuO77Skond80kBIdk3my4wC00XXbe3GILXUciOm6nYu24u/zQCMbhsd/V5a\nWpKAYqfTweLiogQ/LWtjocbU1BSazSZefPFFvPPOOwJMzz33nLB5BoV4HeryABzvHH/88ccBAF/4\nwhfwgx/8QDaSoevMdtTEpaen55o2MduwWq3iwIEDuPvuu2HbNl555RWsrq7iwQcfFI2bstVdd90l\nq9COHz+O9fV1BAIBvPLKK9ixYweOHz+OUql004YKuEVA0+PxOLa373a7MvGo+TEni4xRu7V6jS47\nlq41d1wJhUKyW0s8Hkc6nYZlWY5IKoMbnGwej0c2P+h2u+jv70ehUJBJ7Pf7RYfVWiRZF4t2cc3O\nMRPWgc2drKnZMe8xmUwinU4jlUrhwx/+MH784x8L69ZLRSlp6BQtLRfodjdZsA5KmMeRQROgKbxr\nhrFr1y6cP39eno3Prjdx1vqaGQ3nfQi0+n9G4AFcA17Us8zoMjUwspTV1VW89NJLePTRR3HixAlH\n+o8GYQI+gwyaheu66vN0/W9U3I5xk07MugHum9fwGPN5tK5O2cq2bRn3P/zhD9HpdPDyyy/j5MmT\nuPvuu/GLX/wCfv/G653T6TT27duHvXv3YnBwUN5O8NOf/lRemgds7rOgJRj+fuKJJ/DhD3/Y8Vyc\nY1/+8pfFgNI7IoiaDFrr3rOzszh48CC63S56enpk6SulB7reDzzwgEgqH//4x1EqlbC4uIjJyUlZ\nEHP58mUMDw/j+PHjN+w34BYBTWDTlWIUnf9zezW9JySAa9wIuvUEDU4ULnlsNBool8vXRDM5mTmB\nObF5Diekzn/UO87onE3WF3DfhcZt0plRYBbqgQTEdrstmyWfO3cOi4uLuHjxIkZGRgA49xBlAKXR\naMjKHN7PZJz8HNjcRISMl8ChgYgT0dRlc7kc8vm8BIYYkGKbsN01WLLtgM0t5IBNVs1NHDhRmELF\n6xLU+P50gqjeWo/H6230fvCDH+Cb3/wmnn32WWlvPY6YYaH7SQcm2IYaUDW4s322CujosWBqyTfS\nRk3ma4KsqZHq79iWZHUA5HUqk5OTiEaj+MxnPoMLFy5gfHwco6Oj2LNnD9rtNn7jN34D0WgU3//+\n97F7927Jc+ZY1el0ep8DHVBkvel1MH+U+y7oiLjb2NR527t378bq6qrM3Xw+L4aRWvT6+rrsYFSt\nVpFKpeRNBcyjjkajYiT+6q/+ast21+WWAE1OGO2asuM5eLnigy6RFvF14QTiZKKOQrGaE05fX6+e\nIOvlfn8EWDId1lcDCrU3uu06MqrZll5eBjiXjJEh66CHzndknt2ZM2fk1Rj79++X43Sb6MCNBkjt\njrIepobGwU5jwuPI+piXyh3j9XLBarUq74RhnzLVC9jcvk4DlAYePi/dP8oMbGP2JdNPuJcn17Pz\nmfU2e+xLjgs+2w9+8AN87Wtfw9e+9jUxflwUYSa0m33I8UW5h8fxnsAm89qquLnd7yYYoY2Njsjr\nBH0N/LlcTgwP+4D152spHnnkETz22GMYGBjArl27AABXr17F008/LeOErvz6+rrohkxN4jOx/W+7\n7TbRt3lP/Xe325U8UJ2/2+12RSbTQaFisSjBvVQqhZGREdmOkIth6KU+88wz+M3f/E0MDw+j1Wrh\nrrvuwgsvvCBLfGkYBwYGZHObmy23BGhqK6MHk87NAuCYWKZLRBah03gYENJFJ8vytx5AXF2jI6a8\nB49hnWj1dB0AOAbQVs+imYbJYnTqBv/XkWO2hd5bksxHryzS0XMOPO4Wo8HS1FhZPyYt6zxGDcrU\ngPncDLTxHTgEWbaNbW8Ekw4cOCD11a4ZjSbPZTuwPbl0k8/IXNVoNOqInHMBAxkVd+7RDOzSpUt4\n+OGHcfDgQZFYCLI61YztzPrzutTC9dsegQ29jbIOjS7zdfnM5mtkWW8unCCQaBDUUX39Zk4aBa23\n0uAz6KNTuMj+9A/lExq6ffv24cqVK3juuefwvve9Tz5vt9u4++67kcvlcPDgQdnHgYZKs+Rut4tD\nhw7B4/Hgl7/8JXp7ezEyMiLzR3sLeq54PBtLpZ966imUSiX82Z/9meSDMphkWRby+TxyuRwSiQS+\n9KUv4dFHH5XgLqPx6+vr4jXa9sZu/PQ8w+EwpqenxUOipHQz5ZYATcC98bxer2idemKzYziBb2Sl\n3dwk/ZmpV2lAvV493c4xhXp9rFsUlc+lAzFu7eFWf/P+BBnNerhzN9c08zy6dtr6azDUCcva9eK9\nCHQAZMUHmSCXTuq18z6fD0NDQxgeHhY9NBwOC6M1DYJewsm6Eez1Lk3UnBmQI+hqY8iMCtaTrt7L\nL7+MeDx+zTJWbaTIrLnUkO0DQHQ/zU4JBpRVAIjkQ5BnShb7XrNtvRyXIM1cUc3E2X59fX1Ip9MI\nBALiotI91eOCC0E4thhYDQaDqFar4h2USiUZV7t373bIY81mE+l0GktLSwiFQqhWq+IB6Ag8++/s\n2bNot9u46667cOzYMUSjUVy8eFF2+OLeC3qccezt2bNHdjzjVoxcwMLVfMViUWQqLihhXR9//HF5\nU2y9XsfMzAxCoZAEffjKaV6X7z+6mXLLgKaeHIBz09WtdB6dLKyLBic3FqXvowHTZJ8a0FgnzdC2\nurfJlq93TRNsNXCY1zXrat5fszQyUJ7jxmz5v6mrMdBDw8XMAKY98TdZDANh1C613MA8R07YQqEg\nXoW5aUM8Hr/mWXUCumbzwGbATB/H9teaotfrxcTEhNSZMk+tVsOHP/xhmYw6kZ0rXbiTDjVeuoBk\nVxqYu92u7H3a398vK4ZoOAhUzGWl4WEbdDobizxWV1eFSWrpR7vc/Ix7JgCQJcCWZUnCeavVcrzP\nnl5ULBZDpVJxyEw+nw8//elP8YlPfALxeBy7du1CrVaTOXj27FkcOnQI9Xode/bswcLCAk6fPu14\nvQfbv91u46WXXgIAvPrqqzhz5gxWVlakzkeOHHGQBHoalGJ+8YtfIBgMolwuo9Vq4Y033sDu3bvl\nlRtkzP/xH/+BRCKBXC4n7rtlWZiYmJBlodxzNhwOY3BwUFgrxyr75dixY9fMZ7dyS4CmBkWT9bDo\nyX89QDT1Qreir62P0+6XjupuBXBu4r12AVk0kLJTzTqbz2tGuTUIuLFMDZTXA3MOFDfw1gyNG2+Q\nHXFjBJ1Qz4mmcyUJClzD3G63ZV9LShR097rdrsghbHMySi0hUPsk89N6oQ4mcdJx0up+pHbX7W4s\no4xEIohGozh8+DBee+01eZMmQZnurM/nEzBnMIk6qt71irsmjY2NOXbs52RttVrCcvSPljs0e282\nm0gmk4hEIhLw4Ma9OrGfgMzzuSCBoE6jp9O79G5IBCBGrnnOxYsXMTw8LLuJ0d1dXFxEoVDAG2+8\ngVQq5ci/1dH7druNP/3TP8VXv/pV3Hfffbj33nvlc45Bto8OFtF1/973vodWq4WLFy/izJkz+Pzn\nP4+TJ09KOzAl8MKFCxgZGZFn4BsEcrmc6OLUoVutlry1YGpqStz5y5cvO4zxjcotAZoAHIPALG6A\nCbjvIANsgspWEUw391jXg9c21yTr7/V93UDUPMfN1eZkvtkAgOm+u4Gn/q3vacoGZBwEGg22tr2R\nWsQ8V05SumpanGcklFvbpVIp9PT0CGjxVcd0UZPJpIC7bhe9HZoGPzM4Rvec52pg5XmsF7Ap8+id\n9HUWxoULFzAwMIC5uTkBdLqirGM4HJZNsrkwQgfx/H6/TE7tApspUty4mMt4mWjd7XaF2VLKoIse\ni8VkvXi9Xhfg5bp5nYvKLdK4LSLBkznJlGo0OHGl0PDwsKOeU1NTGBsbk1epzMzMoL+/Hy+++CL6\n+vrQbrcleFKr1RzvRKfncObMGXzuc58DsGGEuAiiWCwikUjAtm3Mzs4iHA4jnU5jbGwMH/vYx9Dp\ndPD1r38d/f39+IM/+AP80R/9EXp7e3HlyhVks1msrKygWCzC7/fj/PnzuPPOOzE1NYWenh7s3bsX\nb731Fn75y1+Kq893E6VSKVjWxkY+mUxGwFTr8jdTbhnQBNzTcsgUTAsNbAKeyZr491YAfL3762Im\nqPOz62maW+mQZl3cdNOtzjWDXvoaJjDqtBLtygHODTK0q0lQ0vfg5PX7/TI52u32NYBCQCU4cFLz\nXmRvmhHSpSUbpYZoLml0M2AEd9Nb0AaO92Y7sI7M2fT7/RLEabfbkkLDLcYYGGLhs5K5klkTfDye\njc1SHn30URw/ftxVi+W4ocxB19/n88mkpbHy+TZea8J1+jRUgUAA6XRaVvaQPbFfqE9yu0H2z9mz\nZ7Fr1y4xIJZlyRZpPt/G6x/uu+8+eTFcsVjE+Pg4pqamUCgUMDs7iwcffFBkFZ32RVmD8gHb3O/3\nY2VlBVeuXJEUMgCO91XpMReJRHDmzBm8+OKLoi9bloVXX30V+/btQ71exze+8Q2cOnUKq6ur6Ha7\n2L17N5rNJs6fP4/bbrsNPp8Pzz//PAqFAmzbxtramvTf8vKyvN6FsgXJAsf6zZZbCjTdAEQnjW/l\nOrsxRzO4o8HFjfm5AaQGGWBzcmqA1OxS18UNUK9XXw42N+DU9ycD0xoSjyHIsd3IzLTQTlClFebx\nPIbPTDdP39/j8UhARGvNdLUorPf39zuYVzgcFvZELYkMlPs96uwJ3T56RRQAmaBsBz4PAYRaH9kO\nsykoCRCwbNuWwEBvb69sMqLdxG63i0gkgrW1NQEkgiQTo+m6xuNxPP/885ITyOtrLZLgy7X4rBNl\ng3g8LpF7BlgIzlqaILhaliUBJ44d9g+ZZSQSkdVuzJzg+OAetIVCAadPn8YTTzwBy7KwvLyM97//\n/Xj66aexa9cuYbYAcP/99+Pq1asoFosIBAJYW1tDIpHAnj17YNs21tfXkcvlZLnv8PAw6vU6Zmdn\nUa1Wsbq6KmNJ95tphEZGRnDmzBk8++yzeOSRR/CTn/wEV65cQSwWw913342JiQlH2qHf70dfXx8+\n+tGPIpvNolwuo16vyz6iDIrSeyqVSqjVahLAvFGKmC63DGiaDMp0Xc2ABj8D4NBFTEDTP25usHlf\n/TkH2Fafu11HA7wGNoItJ7RmfPp4zar5vJqhaW2S5/G9Njq4oHMstfutGZkGY7NdtYusV98wOMet\nxegOkv0kk0lMT08jlUphz549kq5DUCJQAHC8iiOXywkIaaDQbjbbiK/c0K4vAV/3N11Xpj0RUMk6\nvV4vBgcH5VpMVyJAUV7QE5ttTbBkOzLCrkG5VqsJcFIb5CoqzbJ0VkO73ZaIsV4bz30H6HZTb2WC\nOZeWMieVec1cGUdNmiBNg6LbEdhgfB6PBz09Pdi/fz/K5TISiQTW1tYwNTWF4eFhASUCYrFYFN22\n3W7LhsW5XA7ZbBaXL1+WMWZKZ5p0UO8nwDO3tFAooKenB3fffbd4LgQ5rpCjQZifn5c2pR7tJt/p\ncTI7O4tOp4MTJ05cM6/dyi0DmiZDdAvCmJomJzSwGbDg5DHBwc3FNX+bnaiL1gJN8HZjhyYrpSAP\nbO4LajJQDRgseiBxtRQnDUGSE5rPz3YhqPF6en21vr+bjGHbNmKxGNLptGNtMjcbJiAxzSiTyWB0\ndBRjY2M4cOCAbKigQZtbxHHVlma/BGTNbtlvJpumjqr3PtVGiYxFLzRgOxKkeXyhUBAmyPQi1pkR\ndvabmd5mjkW6xAw6AZtygjac+XwePT09orUS4IHNF5PpschnJhhz+0H2ORdxUPao1+uyAo7BED4z\n08H4bBxXZH36hXHUWBl5z2azov+urKxgYmICg4ODIhVQr+aS1mAwiJ6eHgwPD4sE02q1UKlUUC6X\nhQ3qdiT4c7cjr9eLyclJ7N+/H51OB1evXkVPTw/6+vqQSqXg8WwuqtA7XZnzVo9rzk2th7+bckuA\nJge7CSKc2CbAaGCjteRxpo4HbLKUrXTFG9VNl610Rx5LoDLZaLfbFbB0c0NZyIb0yhNGmAlaGnTJ\neDgptgosbTWYtqqHbduoVCqOpZ0E/mg0Kmzo4MGDGB8fRyaTQSQSkUl/5swZnDp1CsAmk+Lm0WRv\nZHcayLT8YDJ11puCPtmG3h1Kr+AiSOlIPNkcn5HRYhogj2djVx9qt2RnZJu8LvtHg7seZ2SaDPLo\nwp2z2M/mNZgipA0eJRC9VFCnQWlQJGPms9HF5q5cnDPUdWl8tNGZmZlBKpXC5cuXUSwW8corr+D5\n55/Hv/3bv2Hnzp145JFHEIvFkEgk5M2p1AwJiloOoEFvtzde31ssFiXyzqg9+5xYoINH3W4XmUwG\nyWRStN5qtSrAqzMw9Pg2x7vJeDVm3Gy5JUCTxWR8Ghw1gLJw/aoGAKZWmEBpskO3e5qfuzGy67Ez\n85rAtcEXnqujwxokKTWQSVUqFcm5o9ttnkdA0AnW+r783qyfaQDMttWCOcGHAz8Wi8lu7aFQCLVa\nDdlsVtb6drsbG0QzAXpwcFBW3wCQCVUoFCTZW+uvbCcyFJ3PyK3E2PdkgxpsOfl03bW2yL554okn\n4Pf78elPfxo//OEPUa/XHStJ+EoHup7aIOld9nX03rZt0fW0FqpXAjH4oyUPRtB5DfYf3VEyPq4q\n4utGmJ7E56NWTCDds2cP1tbW4PF4UKvVAGyCsM4DpaRTKpXw+uuv48EHH8TRo0fxwgsvIJlMIhQK\nyUsCvV4vZmdn0d/fL/ogdx8jk2VieafTkVViZKQ0sl6vV/JgbdtGoVCQ1/dWq1XMzc0hkUhgeHgY\n8XgcqVQKV65cET2SIEhjrWMgLG4eHcf7/1qmyYmoi7awbp/rczkQddSU7pjJUE0X3MyHZDGZrtv5\nPE5fn9cju2L9tEZJ95TbqQFwCNR6hYUZ6eOE56DXjERHnbWwrY2HCZ5bpTtpxsqBZdu2WHUGAmZn\nZ7G8vOyQEXgOmVgkEsHDDz+MZrMpa4rpatPV1AxcZygwkKN1QIIT2Yh+CynrYdu2vKVTa4ZkZqxf\nNptFOp0WbU6vbNFLbtl+evkfgVIHYjiOueEK25GeAiO1+m/e0+vd2DCGRodArxkptUxKANw4IxaL\nYW1tzbFFG+tCbdOyLPEUqDeyj8fHx+UNqi+++KKA5ksvvQTL2oiG//qv/zrGx8dlM+4DBw4gFouh\nWCxiYWFB3r7KiDT1XUbMWRfNLgmyrHcoFEIul8Py8jL6+vrw0EMPoa+vD6urq7h8+TJmZmYc6Wna\nUJorB81CsqHTxW6GBJnllgBNwJn0zcFtFgIisBlQ4Dlax9TaEstWrEpbGVM33aohTeamzzdTYji4\nOYn09+12G2traw4Wo908zYr0JNI/+hgCC9vietLCVoDppuVqvYn3JcOZmZm5BmB5DT6j3+/HK6+8\ncs27rnUgh22iWSLTg7TbyPMTiYQk4NO91ECr0640+2m328jn88LCCoWCHE+2z2V69FoINgR3MjR6\nOrpf9fpuN7Zoskg+H5+NSxqZiaC/Y1syLYlvY200GhgfH8fy8rIkbGuXf3Fx0fFGyGaziVwuJ+yW\nhhhKwhkAACAASURBVIkbc3Q6HRw5cgQ9PT34zGc+g4mJCayurmJ6elq8BjJaAvPo6CiSyaQwQAIo\ntVL2W7ValTYql8uO5bbT09PIZrOYmJjAJz/5SWSzWXnTwsrKirBkPb4oGWnZhfPOHN/X8zSvJ7uZ\n5b8EmpZlXQZQAtAB0LZt+17LsjIAfgBgAsBlAP/Htu3c9a6jJ5q69pb/a5cL2MydpGBuMi/gWsa6\nFVvUgSjTCmnN0rwG78GO4zpYHZnU+Xp0tyiE0y3XTG0rt9oERV5XLyt0q5/5manz6sFoBs5oiPSE\n1yzKPFZv1eb1eiUqy2i2dnkJYGRdTA8xpRMybkZ/CXQENH1/tofWH7mLkV7DPTc3h3g8LkDIHD8G\nrSiZcFccHWCjbMKJz+AYGSFZM1kfU4to/LSOSo2WkozHs/EuHz12qFHylRG5XA6RSARLS0vo7+/H\n2tqaROwZZKJh27NnD4CNNfGMzOuAomVZ+MxnPoM9e/bI+cvLyyiXy5ibm0MwGMR9990nSxAZHGQ/\nEhA7nY6kmOnULxoUkp1OZ2M9vNfrxVtvvYXV1VXs3r0bDz30ELLZLBYXF7GysoKFhQUHCdFzUJMm\nPTfYxnrs6PGpf/RnN1v+O5jmr9u2nVX/fwXAz23b/lPLsr7yq///v5u9mJs10GyShTrJ+vo68vk8\nwuEwRkZG0NPTI+Dl9spQFq1V6r/J3tyKW2PrOmpthQK7vq5eo8tOZ14eAYQTSEe6+ewmc9ZunXZT\nzAwEXXfNgN2CY6wbwd9cuaOfVf8wGsmJzf/5vnmmpOgNJXgs60AmRmNDAGV9yaAIkHwWc+cqtpMZ\nmdWut2VZsrLkfe97H+LxOL7zne845BCCh9/vl5QpgjQBmW3FgBnHEnNUGXDRL9zjb2qelrXxpk+m\nLbEfGdWmUSVIEJwty0IkEsHAwACy2awkrHMjXr25BdslnU5LEG96ehqzs7MIBoO4/fbb0e12cebM\nGQQCAYyOjuLSpUv4xCc+IZtzJ5NJWRIbCAQEyNfX1x36Nu9FEOXqMs5JBjaz2SxmZ2cxMjKCO+64\nA91uF+vr61haWsL6+rrDAyGjd9tNSbe5XmJ6vfl7vbl8o/JeuOefBPDwr/7+DoDjeBegqQtBCHCu\nxOl2N95nfezYMcTjcSQSCXzwgx+U9cIELR0M4MQiK3Bjnto6aT0ScKZE6eVxPIaDQk8UfqfdaDM4\npZeeXa+Yeisnn9npmp25Aac+hyDNVCbN6LR2a7JufU1zJQ77Sxfue8l21zsI6XP1tbX7zrqbkoIG\nfrfnNNvPbSJp4GYbMzGc6VG1Wg3FYlG0Om66q+uqczYJZprVahbKv2lEeB0NkgAcrn4kEnGAOCUf\nMmIGc/x+v0T/a7UaBgcH8cADDwBwLqX1+Xx46KGH5JyBgQHYto1nnnkGhw4dQjabxerqKg4ePCgL\nFXgNapD1el2i2XobPbLr2dlZRKNRCTBRq718+TKWlpYQiURw++23o16vIxAI4NSpU47Ef8CZwwo4\n94jVx+njdWGbs121p6Tn57sp/1XQtAE8b1lWB8A3bdv+FoAB27YXf/X9EoCBm7qQ8TAEBe5LWKlU\nEAwGkc/ncfHiRcRiMezatUvEaO73B2xGyGiltL5Zr9dFE9ITznSHKV7rPDsmdZNZ6PQFDmYyBz6D\nnqxuQO3GovkM/G0CA491AwF9bTKWrawoAzXMnwM2X16lz9flRukZW4G/rutW9XYDRtOFoi7H49zc\nMLYXJ5xm4Cy8B/fRJFNk/cmYWq0WCoUCent7HRNST17TGNEV5f1p8OmS6xxVPT4oSfBzXU9u2cZ6\n6efVLr+WjjgHJicnRbc1NVU932jYX3jhBRnvFy5cEKJAo8j16tzmjs/J6D+j+rFYDKurq7h06RK6\n3S4mJiawa9cuJJNJ3HnnnZienpaNM9ju9FJML8M03Hp8aAPP9nAzsLw+z6Es5Kb/X6/8V0HzAdu2\n5y3L6gdw1LIsx06etm3blmW5zljLsr4I4IvAhmXXg18zSp/Ph7W1NcTjcVjWxprZe++9V7QYvpKC\nFpd6GsVo05XTO4HzfpxgXO3BiUSWwEml31dEcKT7ryeMqcVpV9vseDdXwWhDBzjzs5sFULdrugEM\ngZ9Fs5KtZA23cj2rraOb13OfzDGg66Gvb7JcE5i1W76V8dCyiHb12Lft9sYL/HK5HJLJpAOsOe54\nf71dHg2RCWZ6WSXdabJvE9Q0k2LdmeZksmt+pmUCRqk1iTC3cSOD1FkH2uDwfhzvxWIR3W5X3snD\n9tD3IdstFAoIBoM4ePAgJiYmcOnSJaTTaUxOTuLEiROOYK8GOv0yRLdxYo5Jc5y4FS1LEZDdQPVm\nyn8JNG3bnv/V7xXLsn4I4D4Ay5ZlDdm2vWhZ1hAA1909f8VKvwUAmUzGBjY1J63RNZtNicIREOnW\nUCgPh8MolUriRhAweQ0K+OxQ5rlpFmfbtgjxvAf38uMg4nvRTSZksgJd/jOWjMU8x23SXw+krqfT\n8Nn1MdrF/M9ck9+7HaMNla6DG1MwAdOsM/++UTG9Frd6MSGcE1Ub3Hq9LgEXHfggWBMAyVh0sru5\nwxHB1bIs5HI5xGIxIQIEMrYTwVav8HJj3/xMM1mtQWsPR19HM289fm3blvQrHkvWp7d/4/PpJHMa\niXg8Lsbm137t1xCJRHD69GlkMhksLS3hzJkzDobNLAlemwE8tpvOfTWf3/zNvzVZ0R5ktVp16Ktk\nzlzVdrPlPw2almVFAXhs2y796u8PA/gagB8D+B0Af/qr3z96t9fWjcqG1SySInskEhE9h2tMmYNH\n8LNtW5aS6U0h2NEcnDryTaGbu2NzUOm1wLp+pq4CbKY96RxNFt3JbmzBpa2v+c5twGx1j62KfoOg\nZsM6b9JkuNe7tulKm99dz5qbWi8/00WnEZlMS99TB/5MmcGsl2VZItdo74NL8mzbRm9v7zWpZLrO\neqMUzTwZUafBKJfLElAqlUqyHp25kzyer2sw3yeuXVaOK44xs6110Mu2bYd+bIIoI94A8JGPfAQ/\n/vGPJYJPACSQk4CQTJjPHgwGMTQ0hMOHD6PVaqGvrw8zMzN4+eWXJRtBe1aaIUYiEcld1URHexk6\ni8M0Dma/un3GMaWlPM7rmy3/FaY5AOCHv6qcD8D3bNv+qWVZrwH4B8uyfhfAFQD/52YuZrqgwKYu\nw/eucODStYlEIjIIAYi73ul0MDo6Ki9VoiXnumkmSxMgaO2o1ehBqq2w6cLqCcxjeL4Z/b7ZTnEb\nBDcCqxu55uY1NThxcGq2bLqy7waMTWniRnW8Xtmq7UzWpdmEWW8Nmm7tyPSmZDLpyNdsNpsSuKBn\nw3XeHB9MK9PLBc321DISU4+i0SjK5TKq1aojLYdGjIEz1pkeEAkB66QZqn4+nb1AN5vj1szA0D+x\nWAznz5/HkSNHcOHCBeRyOdRqNYceaF6Lq6a63S56e3tx4MABFAoFLC8vY3JyUgCV7+XhSisaKUoI\nfAa9WED3o5uBNPt6K4+F3mE8HkcymRQtlm3HHaNutvynQdO27RkAh10+XwPw6H/ieo5JwgZk+gfd\nCT04mPbR29srzJAWnq499UitL9EiAnAMTK1ZahAxG1S79KyX6Tq66S48fqvO3ep/XbQbx3vpOunP\nTLdOF8uyMDw8jHa7jVKpJBOarqZ+Hn3O9QCcz72Vlb/RwLyR/GAyK82mdD/pemgvwO36ZMDaXSM7\nZJpLt7uROtXf3y8g2Nvbi1arJWBGI8y/y+WyQ9tkgE2/zZOvO261WpK8zXEfCASwc+dO2b2dbJX3\n4/6f3I+ABMPUCXW7meOBTJIgFYlEkEwm5SV0L774orShlleof4bDYdnUZWRkBLlcDqVSCeVyGYuL\ni8KMSXAYGdf310SFRefR6u+0YdRzj33O327ehGasgPO1w6YHcaNyS6wIYnROr+SwLMsxKVi40oBv\nPXznnXccWiPBUm+PppdU0qrT0ukIq17jrDtNA5LWJ900IzdXmse4dYwZ0XVzYbX253Z/EyQ0aJs6\nFp/B6/UimUxi7969GBoawt///d+jUqnIZOAAdzMYWwH+VszW7Xt9HNtfsweTSbhF8bWxMoNxwOYO\nQ9T5+Lne6IOuGSc2068IbnQnAWB1dVXSbfQLyGx7M7WI900kEo40GEo+OhBhWZZsHadT1vhz4cIF\nWQUTDofR29uL/v5+xONx9Pf3C0PLZrNi+AjaBAS9OQl/SCDYdtydyOPxYGJiAvF4HMViUba6owvL\nrBHbtjEyMoJ4PI59+/ZhZWVFXtV85coVYcB8XrY5WaQpDWj2yvnIa7jJEOa4YJua80Mfq+eAKdVw\np/ubLbcEaJIN0qXgYAqFQrJRgE730KsjOp0OstnsNRRf77yt9TR2DhtYaypkGiYwmQDg1nlursLN\nFDerarJGk8Fer5jgQrDQOY80EFNTU7ITEbD5orLr7WTtVofrMWU3oDSP1ZFT/bmbROA2MciW9Dka\nhE0JhUtaLWszSkyWxzxbao0AJJE7FAqJi84gJDe6ZZ3i8bgDkFhngrwOPnQ6HZRKJZGG2E9koP39\n/Q4S0Gg0MD09LWObzHBoaAiDg4Oys1C3u7HnKHep0kEc6oo0nGTS3W4XiUTCsW48k8ng6tWrWF1d\nlfYIBoNIJBKy1+bs7CxarZYsy6TXpmUHFnoxuh+14SQwagLkNqbMvt9qrppjThtWDeyHDh2Cz+fD\nv/7rv+Jmyi0BmoFAAGNjY9JgtPq6cCA3Gg3k83kUCgXEYjGMjo6KC0S9iAK63pJLM03AmWJBl73b\n7cqO5aZcwL8pROtrspgTXR9zPbfVrZj3v1FKhHlv83z9v2acjICSlfHvrTICtFTC4hblNlmfW9uY\nxZRE9Llb3YvPYeqyGqj4TFpH4ysYuD2a1+uVN0jyPGp1CwsLss6bK1y0DMSILHc04v6S/J4eTTwe\nlxU7XELIQtCnbsnAEQkEvSkNAMzwePvttwUI+f6bdDqNvr4+kbj42gmCOw0BQZJZBM1mE1euXJE6\n653WbXsjKNbT0yO678rKirQn55DXu/G2S/06FY4FPd7NdEDNBPViFp5npiFpwNXX1eNPe1rAJuGi\nwfR6vejp6ZHNi2+m3BKgGY1Gce+998oO36VSCQsLC45XwzJtg9olNYlkMilvF6zVarICgaIzO4CN\nxjQRswM4iHRUza24ucK6aMZkgphmtfpagHuemKlDXQ+UzWvoepptYDJKGiQOeC3Om+V6EoPWnc12\n0XKB6Z6zHXUd3ZjmVmkhdEO1MeDxDEBoV9myNjfWoF7YaDQwNDSEQqEgxjuRSODy5cvI5XKYnJzE\nvffeK9fhfpUMMNAIcxOPSCQi6Ti1Wg22bcvu9Byjuu211sb84nQ67WgLGk/9vGSPHCcE0rW1NQH5\nZrOJbDYrYJlKpRCLxVCv10UbnZubw+XLl/HGG28gFArJzkXvf//74fV6kUqlEI1Gce7cOczOzmJ+\nfh62bQv40/iSdHAfUs2wzTHKMaP32tRMU0fQ2a/aaGw1BvW4MF18PSeazSb6+vpQqVSkrW+m3BKg\nCWy8D3txcRHZbBb5fB6lUgntdluss14LzRVAyWRSGAR3TCHlNiOmOj2EgxuA5OXRLSNIm6CoWZq2\njACuAQJd3NxsXbYSovWxJlhoS6qv4cZ6TeGf39Hi0sDoHeDJyNyMAoub/nojNsx7m9fh56bQv5V7\n7nYf1tut8OVtBC/L2tixnZtXHD58WHJ92+22RMhLpRLm5ubQ09MjhptvkuRekKyP3++Xrf0IQqVS\nCeFwGLt27cKOHTtQr9exsLAgb7Yk0+W1mRbEVTa6jVqtlkR59fZq3ASEAG7bGwEhvnaYxIM5oba9\nsb3f1atX4fNtvIP80qVL4qElEgk0m0187GMfw5UrVxAKhbBjxw4cPXrUkT9JV51gx0AagY/P4uZp\nsf90nbVR4DHagzDHN4GVf5tj39Qw9fw0NeWpqSnX5b9blVsCNIvFIk6cOIFGoyFrflOplEQOddIx\nd4WmDmXbNvL5vAweitV8mx9FbDIPai36DXrUfnp7e9Htdq9JfDc73bRgbkEMXbZy0bdipfocwH21\niy5ujJTHkZlooDW1NQDyzDoVQ7vp5r3dgF4XN0ZxM8U0Uma53nOarI1gxF196I7GYjHZaTyTyQg7\n4kvfqDdyv8077rgD/f39+Pd//3c89thjsG1b9gXV7xmnIY/H4xgYGBA9sVQq4Z133hGg4+tyi8Ui\narWabIjBsc6IM3eoZ3tSLvB4NjbD4CtFaFQ122Z/c6zzTZO8/vj4uHh2d911l2yXd/DgQaysrMDn\n82FsbAwnT57EhQsXJJilN11hsFCnDpnjlH1jpuqZhpGGR9df72JknqfHk2nA9TzUP9o1Z2CKGGHu\nrn+9ckuAZr1ex/Lysgw2nYhOy8UVG8lkUoRxpockEgkZnFzNQeZEIGCh5SJT8Hg8wmxpjSm0a9Dk\n39rVozupO1C7AoD7mmsTBPV1TB1HR4hNwGWhO6xdEBNQdPBEbxKSyWQc4jgDHnqJnK6/1kZNy++m\nQervtfvupkeZjEA/H6+h/9fPqevJZ2UKGr0PpghRu06lUkin05Ivyd3OCQTLy8t47LHHHKvMuLiC\nwUBunmHuqq+BlEt0yQgXFxflWKbMJRIJ1Ot15HI5SVlivzGqzkmuJRBz1QvBKxAIIBqNIpVKAdjw\n5MiEmSVCFkqJ4dChQ8K8jx49KkBDvZWaKA0xMwsY+GG76CwBHq/7zuwzU6IxNVA3j0MHkUyvSwOr\nBkwex/ZNJBKy+5TGiBsV60bi/P9E6evrsz/+8Y8LMFqW5dhFmw2qJxqjn8x3K5fLsi42EolI5JGN\nXKvV5BUDnU5HhHUAArCMnHPg0XXSqxD4v3aP9OtuM5mMBKQI2Dp1ihPJ1FnZyRpAWLhChMfpXDy9\nUkVvIkHWrbcwY7YBn5cAwZQXc5AziKBXymiDwb85YbT7zzbzer0SsTXZCQc+8xb1skPtWjGg4PP5\nEIlE5P3kevkigQvY0Mjj8bjUSa+LpmEsl8tYXV3F7OwsPvnJTyKRSOC1116Tdg4Gg/iXf/kXPPHE\nE1JHptvoIA7HpgYxup0spoar/9cAxudkuhIBjcEp/cpgHeyim8yxw5xjusx8fp0QT6Dr6+vD2NgY\n1tfX0dPTg9OnT1+zzZ2+tqlR6vFousv6fC1pmWzRjQyYcowZeNSgqK/JvqhWqwLq/J4rsLjRMwAM\nDg7KNnTPPPPML23bvhc3KLcE0+x0OvJ+Yual6YFBsKKV1ToSXQUAAmCJRELcpE6ng5mZGdl4QQMh\nXWwyDDJVDtJqtSrfEYw12AAQuYABKr6uggaAzwY4U2MI/slk0qGNEZD1oInFYo77Un+xbduRasUf\napORSMShz9LaEmj0sxLIOZm4GoYBMgIHd6ThcxCYtE7EPuNgJ6jqQI3eDIXPqf9me9FNIwDYto14\nPC6vs9XBlHg8Ll4Kn12/vpbad6fTwcWLF1EsFv9/6t40NtLrPBd8vmJxKxaruG/NZnerW1IvV2qp\nbVmyLSBGHMsIcr2MAtv3xs5MECMLEMz9Mz/uvfPnDjLIgmQmAYwbJPEkRm4WJ2PBcbwFseGRIktx\nJFlqtdSyWlbvG3cWi2RVkUUW65sf1c9bT708H5vy9QzoAxAkq77vfOc75z3P+7zLOadlieDhw4dx\n/fp1O77j0KFDmJmZQW9vry11fOWVV3DmzJkWVqmTU3N9/bvoKjFdIqg+SQCWp6ljwXGcmJgwdxKv\np8wRVNnfuVzOIv1cCUdT+tixY3j44Yfxne98B319feju7sbLL79skXRdBqyBGLWAKHc+dcgXb4Eo\nwIXMb14TAkytT4uyyLa2NmP2pVIJDz30EC5duoSOjg6zNKanp1EsFjE6uqdN2FrKvgBNagbVTsPD\nw7a0jZ/5hfwELA408+q4rpeata+vz/LgKAiVSgV9fX3o6+sz3xAAi5rSD1SpVFqSngmi1WrVmC0j\nnrrvoO6eQ9Dhmnma/0z30HcioNHRTgbW09NjphDbubm5idXV1RYzTs1rZXCc2Jxs9HXRTwbAAkJU\nVgrwapHoGnxeq1YBwY3+Y76fZw+8RvdiVPZBEPY7dNO6YOSbWwcSmJeXlzE/P28Ayd12yI6Z/zs6\nOmrtjaIIV69excrKCk6ePIm3334b73rXu3Dt2jUUi0VTfNVqFcvLy6Z8VUGQ0WiQgn3ChRYENTVJ\nmRVCMKXM8HA2RuHr9TrOnz+PEydO4Pjx4yiXy5ibm7NjK+inI9Cl042TTKvVqj1/YmICx48fx8WL\nF1GpVPDRj34Uf/M3f2PHAPMdSBR8UNS7ikKumpBLJ+SW0e99Hd5140uItQPNBQuUx89+9rN4/PHH\nsbm5ieeeew7f/OY30dbWZnOXWKC75N+t7AvQBLBjgEin+fKMNKrfg2tJGbGkJo2iZr4hJ1S9Xre1\nwgBs/e+VK1cMrLLZrJm0ZLEE20wmg6mpqZagAk1x3ZVGl8sBTWDUdc0UcAat1MfIZxMM2traLKJJ\nX4wKBQMWBFoGdFTjqgNcd9bhd7o5sN/tXv2gyurUd0uBVdORhferD8/fS+En6BFgqYDU/KcyXFxc\ntCNpuT8lTU9OBr7LxMSEAQFBs1artWzkC8B2/b9586adu93b24vDh5vbmp04ccJ2PVJzmVYQx4zP\nY38oE9WVRrrBB+eBMjxupMExrNVquH37Nm7evIl6vbG889SpUyiXy1hcXEQcx5iZmbF5QnD42Z/9\nWfT29uLll1/GwMAAjh07hueee876nbLL7e04FvxbLTwdV+9n9j7vkI9dSwh8eW1SNob2p8YC4ji2\n9nN8H3nkEZvTR44cQRzHeOWVV+wenkuUlHkRKvsCNOlboVnV2dlpRxVw2VqtVkOhULDJn81mbSkb\nhVAPlAJgyfAEYUbd6QNrb2/H4OCgTSY+M5fLobu724IHPHuZeY0USAY22OGMSLMwV669vR2HDh3C\n6uqqKQI9aI0MkMyUk0+3FyOj3tjYaNnxCWimbuiyQCoCdSlwEvb396OjowPDw8M2GdlOmop8HtDc\n7Z47R2nSNpmRJpDTr6esU7c5I/NgP2oAQ0GXzwBgzHBiYgJnz57F8PAwrl27ZgyfqUJ0J9CnzHqp\nsOjP4+e5XM6ew4BIsVjEyZMnEUWRBU94YNjhw4cxPT1tifA6gakQOdk5Pqok+Hx+rj+qbIDm8R+a\ndkMGST9xrVazwFI6ncbCwoK5CLi719GjR3H27Fk7q/xrX/tayzyh7KqrihaUruBRwAsF5Vh83fp9\niD2G/leF6uv1gKmgyR8uVqAM1mo1/Mqv/Iq5/2ilAA233qFDh/DWWy3bASeWfQGaHR0dloZBoaIZ\nRgHnoVgUOPWtcVstmsycoJzsvI9ABTSYJkGJgRAysWq1ipmZGYsukp3QnM3lci2TkrvBMzqbSjXO\nYuHgbW1tYWFhAV1dXRgZGTHgAWBRV5rfBBAWAg7fk+Y0fVN6OJea+ryPKSmcuExVodlOk56+VAZu\n1tbWWiLFXV1d5tur1+vmGwJg9Wg6V7lcblnjTQChYmKwh/fU642VNbr8lYDO72ZmZtDT04NDhw6h\nra0N9913H3p6ekyZaL31et1yfnkm+9jYGDo6OjAyMmKun+XlZRw8eNDyLC9fvow33ngDx48fN9ao\nZ3i/9tprWFxcxPDwsAUb6UKiCayuJI6hMk6+m36mPjwyPP5P4Oru7rZkfSpInmTA8WMQcmBgAOPj\n43bawfDwMP7+7//egMJH4DlOTFBXphximPxN2eJ7JgV41N2jRf8PWSiha/UZfCbb0NbWZmdSffSj\nH21RXFy5RYZfq9Vw9OhR+3yvZV+AJtAM4jDH8tChQ5bMOzU1ha2tLTtbuVarYX5+HpcvX7YAUk9P\nDwYHBzE+Pt7CvJj3SZ/k+vo61tbWbK2s+pp0l6Te3l6MjY3Zck51E9RqNXsuAxAavaXZSBDSXd7J\nGAh2rIPgwd8qqFQcHFialKurqwb+uj6fwEugVH8gP6PbolqtGkMDYMBfLBbt+QTj7u5uS+fiihoG\nZugK4TswRYbPGxgYsE0nCNhcNcLD13gIGN+VgSpVJG1tbXbq4sbGBkqlkvU//YKZTAYTExM4duwY\nZmZm8PnPfx59fX34zne+Y5N3ZWUF7373u/H888/j937v9/Ce97wH5XIZN27cwIMPPoh6vW5+blof\nVA75fN7MXL4vAEuJi6JGahp3Zqf8ECB1nPk3wTCdTlumB/M1qVjL5bL5Vxm0XFtbw+TkJPr7+3Hq\n1Clb0XTo0CG8+OKL1odU/nR/MOWObiP1U2rQkVYB+56WA+tSOVPmpz5QD4AeOPmZN+P5tyobtT58\neh8VV0dHB44ePYoTJ05YW0hmfuEXfgEzMzM4d+4cVlZW0NXVhWKx+I5SjvYNaJI1kX1cvnzZvpuZ\nmTE2xwEolUo4evQoTp8+jcXFRfNHFQoF1Ot1m1jU+ltbjbNemL8GNJNi6Us9ePCgaXGN3pNRavSX\nE4gATTZK4SEw+ZUG5XLZ/I7e3NG6gJ1RRpplzOHr7Oy0VVFq7tJ05+esj+/ANnZ3dxsYcDLRH8t8\nVJoxDERo0EfBkwyxWCxaJsHS0hJ6enqwvLyMlZUVC6rxeq6pJliQBdIcpv+Va7WZ7M121Go1WxfO\ntJFarYbZ2VksLS2hra0NR48exR/8wR/g2rVruHDhAp566imUSiX09PTg6aefxuOPP27rynO5HJaX\nlzE5OYlSqWSMur29HXNzc2ZhlMtl6zfPCHkio05yrjsnu8nlcsboqSjq9TpWV1dbxptLHKlk19bW\nkM/nrV25XA5jY2N47LHHsLCwYO6Vubk5XLp0qUV+dSMalRNVzpR5zWJQ10ASAKoPUhmpyrFez+/9\n/d6EZ/tVAbPt6j8n4dna2sKRI0dw+vTpFpJEK4IWwz333GNnEwEwa3SvZV+AZrVaxezsrE1Us0V+\nrQAAIABJREFU5pmRBWYyGcu94yoGoLmi4uLFi7aiKJfLmfBkMhn09/fjYx/7GN544w2k02kMDAxY\nRNSbRhroIHBq5JuTXZdgqg9IBUxTUbz5QK1PwdBgEoNANHOZeEvwp59JAVFNFeYTMhGZ+aiaGK1O\nfPowNc2Jvj4CZUdHB4aGhmznKbpQmKalk03XEff395u/KI5jrK6uYmNjA8Vi0XymNI+npqawsLCA\nH/zgBzh27BgOHz5s2Q+Dg4PmfqhWq/ZOXV1duP/++1GtVnHPPfdgcXHRfN+bm5sYGBjA66+/jnPn\nzqGtrQ2jo6P43Oc+h+vXr+Nzn/scUqkU5ubmbDVMoVDApUuXcPbsWZw+fRoTExMAmj7jmZkZ86Fy\nNVV/f78pYSoylQOgmVLHMaIVMzc3Z/nImsuqzyyVShgcHEQcxyiXy7Y93cjICB555BGMjY1hcHAQ\ny8vLeOWVV2wcOdZUkJQ1WkPKGmmy6ucKkuqDZvs06MbiSUAIYEOBHxbNPuDnVMpky6yHc5F7ALCf\nh4eH8cUvfhGjo6N45plncOvWLfz0T/80xsbGsLm5ienpaVuHX6s1NpIuFAo/ecso6/U6FhYWjE1w\nz0yg6S8DYHmCjPJyMnV0dGBsbKxFe6lG/fKXv2zs7s0337QNE6ampnDo0CFMT09jbm4Ox48fx40b\nNyz9iYyB22wBsECVsjf1O2lCNb9XXyV9tWwf/ZUEQkbrq9WqPZMTUQFYgZyFZq2mdlAIaQoCzf0k\nCbJ0I9BFwtxGlkqlYmYwgZppVwR0tk1zYTnJ2Eam/UxOTto92WzWzo75wAc+gGq1imPHjmF+ft5W\n7SwtLVkbjx8/bu6VVCqFvr4+c5WMjIxga6txxMLW1hauXLmCXC6H2dlZTE5OYmVlBZcvX8b4+Dh+\n93d/F1tbW/jDP/xDy67gUsMzZ84YeHzqU5/C6Ogo/uiP/sjGjzmiynipgOgLpoKjX53+eW6jtrCw\ngHq9bkFHyvLVq1dtVRBdGdPT02hvb5xR9cADD5ic0q3yF3/xFwB2nmXv/X7qSlC/IMETSN6jlUWt\nLk86lImqf1aLmtJqgmv9bJuyYZVp4oGy2mw2i2PHjuHFF1/EsWPHUCgUcP78eVQqFVy8eNFcV7dv\n3zaWSuuW82yvZV+AZkdHB+69996WsD/ZF01NmokEM3YemQ19FkwzIVBks9kWRy93P9rc3MS5c+fw\n8ssvm9CeP3/eBoh+Jk7Id7/73RgZGcHrr79uq1J4rLCa5Jp4XqvVUCwWbW1xV1cXhoaGDHQ0+s6A\n0erqqrFe1kXABJrJxGTBKtBal/qZ1HfL/1nUhcA+JHtm9FZPTSwUCtje3m7x4ymT5jPZ/7VazUxc\nrYdBmnS6sRY7m83iwIEDtmqDAbmuri7kcjkcOHAAFy9etKBgNpvF8vIy+vr6UCwWre30QXd3d+PE\niRMYHR3F5uYmbty4gUuXLuH27duWTjQ5OYnf+Z3fsffo6OiwhQTKxNrb21tycDnZUqmULWzQnYOA\n5hHATC7XNc+qqJaWlrC11di6jW2gT/3atWvo7u7GxMQE3ve+9yGdTmNxcdEA9Ny5cxYQVV+jTw8i\n2BDoFAwVOFk80AGtSxqVnOj3ob9Z1AzXa9g32kaVV30OXRqUL7af20r+0z/9Ex577DG88sormJ6e\nNvfC+9//fiwtLdkOTkNDQ1haWmrZdCQpvSlU9gVoplIprK6uWoSbEyybzVreFdBcGkjn88DAgPlB\nFxcXzSTnKpt6vZHorFFQ1kP/BtAcFI0WqpZLp9O4dOkSfvjDH5o52t3dbdc9+OCDmJqawuuvv45C\noYDJyUlcvXrV3AW9vb0t57nQFCP74IRXFwEFyIOiRoc9qySDpWlPofJ+KiodTUinO4LCreu2NU0H\naDJfoHl2OoFGE7cJ4lw6uba2hsuXL1sw79SpU+jq6kJ/f38LIHEteL1ex+XLl9Hb24tCoYCuri4s\nLy+bD7Srqwu3bt0y0C+VStYHVHyMpObzeTz88MMWcLp16xZu376NS5cu4ed+7ueQy+WQy+UwPj5u\n4KX5sWTOtAbIAqmA+/v7EUURlpaWWtgQFzMQMMnGCXQALIhFK+TKlSvo6urCBz7wARw9ehTXrl1D\nR0cH8vk8zp49i7Nnz9o7MsWKfj7vGtCoPMeMn2vAhnJElwitCPpk1TXEQlkMMU3OM++zDEXPSQo0\nbqDzcmVlBfV63Y5QJsEYGhrCoUOH8Pbbb+Py5ctIpVKWIZBOpzE4OIgnn3wSb775ZstCD6600syY\nkKJIKvsCNMlclG5vb2/bTtQcQKA1Sbq3t9eY1+DgYMsOLByEarWK3t5eYxDaeTxbhUneZFb8Xs0E\ntiuTydikJaDcuHED09PTBjr/8i//YsnVBAUudZuamkJfXx9KpZJFOnmELNN46MtUE4auCTJgXb7o\nfUnqA9JcSgq8MmmyUprsQAO4uJM5TVJNMdKTCo8dO4auri7LUmA9HINMJoNisYjvfve7dmb92NgY\nent70dvbixs3bpiyW1hYaPE1Mf0ll8vh5s2byOfztphBlzESvHiaIRmf5t+S6TH41dnZieXlZcv9\npb/7ySefRLFYRLFYxPT0tO2H+d73vhe5XA4//OEP0dnZidHRURQKBWOSq6urWFtbs2CLZgBowLG9\nvR2jo6OmHJiNMTMzY4GkJ554AmNjY1hcXMTGxgbm5+fx/e9/38aRCoYKi58pIFEW+R3lUTfZUNcN\nx71UKtl3dE9tb2+bGUvFwdxlypua3Zwrnl2qfPrig0VqJQGN+IXOi5MnTyKTyeCVV17BgQMHcObM\nGbzyyiuWW3369GmMjIzghRdesN3TmH/M+cR6VcntpewL0Nzc3MS1a9daPhsZGcHQ0JD52jY3Ny2P\nj5Hfhx56CKurq2hra8P8/DzOnTuHqakpi3xSOwOwEy1rtRpWVlYAwEwumkrVatWWTlJrqwYlOGkS\nuoI0gzhHjx5tcboz6FSv1zE7O4tbt24ZI3vsscfQ1dWFN954A/39/Zifn0d3dzeOHz+Ozs5OzM/P\n4/r167bkk2lUZNADAwOWeD83N2dATX8pAYECx6CEBpZ4gif7gRPQ+zvJSijgTM4HYCY9V7CUy2Vc\nvHgR8/PzyOVyePTRR1s2eqWZOD4+jps3b7asGacA1+uNZPMrV65gYmLCFgWsrKwYoI6Pj1sEnYqH\nkXeCONNQuBfB1taWuXuOHz8OALa4YHV1FZOTkzh9+jQymQyq1SqeeuopvP/978f09LSlrC0tLZmS\npYImm9RASjabtXejn/ratWsYGBiwEwj6+/vx2GOP4fjx45YpQuVL64hMl33DcVC2p8teFZxILAji\nasbze6ABaENDQyYLCmTqOuP3JBMcS2BnsCdkqvtCxU/lp6fK0kfNhSUDAwO4//77MT09jfPnz+Pe\ne+9FpVLBSy+9ZOTp5MmTWFxctFVTamGyXZphou6mvZR9AZpkAJ2dnRgaGsLExAT6+vrM7AAawMrc\nNWqgz3/+86b11tbWMDIyYsKpmzlkMhkbaEY/FRwoiIzKKuAAzd10mItIc4aRPXa+X1dOQKZ5Rn8V\ngwgAzAQimDP/8F//9V/N7CwUCsjlcgZ0TMHQTQmYusIJQzMdgEV7dfklGYSuOtENPHRpKE0Y7vdI\nZcB+HRwcBNBwss/NzRlodXd34+TJk7Yiiqyqvb0dhULB/EljY2PGjMgOOeHK5TIGBwdtr4AoaixA\n4JgtLi6ira0NCwsLLZu9MLpfr9cth3VhYcHW68dxbMtgtT/Onj2Lp59+2oKLhw8fRrFYxPnz5zE3\nN4d77rnH0qmopPL5vLFIyh/rY4YBmfvm5iaWlpZQr9fx0EMPYXx83Pzj165dw+LiIi5cuGB9Q9cG\nZY4KW0GSK7Q8CHrfo8qGfkeFrr5CvxKIz+T4kFD4CLoPKPkgkvr/9YeBRU27YyYI+2JgYACnT5/G\n97//fWQyGZw5cwbnz5/HzZs3zbVx6tSpltQtzlNaaUCDQDELRq2tvZZ9AZq5XA5PPPHEjjQEviQ1\n9sDAgN0TxzEOHjxoHT0yMmI+Ea7WAWDOek4gFQwOvka8aY4ToFTIOOB6jgsHhayL/jqaAVxJQ7DU\nXWeiKMJzzz2Her1uB1URgKMowvLyMiqVCkZGRrC9vY2rV68aiLHfyMYZLNO0LTIKCj2FT8+Rp+nN\nvqP/F2hdnkn/Js+Oj6JGHuGJEyfMbPze975ne0OyP7LZrJ0XUy6X0dHRYcfbzs/PI5PJYGlpCalU\nY6OUubk55PN5zM3NmQLS9ujmv2RqPIkRgClEjiHbxvfjeDNvd35+Hvl8HmNjY5acTndDqVTC8vIy\n+vv78fDDD+M3f/M38fLLL+PAgQN49NFHcfr0aczPz2NpacmUioIKZSWdTmN2dtaY0sc//nGTs5mZ\nGczOzmJ1ddVkXbMr1PcINJdmqt+Ycq5WgI96eyDleCqQetNZWaI3n72/Up+rbdM5rRF7fqYuIJ1f\n9Xrd3EDnz583q+vVV1/Ffffdh66uLnzpS18y+WDGDVcEAs0YBV01JFtk3el0GktLS3Yw3l7LvgBN\nHWAfhQv5RHgNQUIHxkfBKIDAzrWr7FSaof4ES6+FqY1yuZyt6dali2yD7m9IjcxJGkWNROWZmRlj\nDfQ3XblyBcPDw5icnDTH98bGBi5fvmxmN1eaaJYA26ZgTAGJosgmP5PRyYLZn/SrcimnTjC6N+gW\nmJ6etogvmee3v/1tlMtl/OIv/iI2Nzdtx/319XVbfjgyMoKLFy/uOP+a7JCJ5UDD8c9xnp2dbWEM\nxWIRPT095iMGYCAXx801/DTHU6mUHZpF+SC7Z9L8+vq6bezAvUuZVnb69GlTWE8++SQuXbqEbDaL\ny5cv48CBA5Y2pDmlVGRAw4VRLBYxNDSEhYUFlEol27eTbVJXED/zAKiy7//Xz5OCLRqw4WfKTFmP\nArS2kfd4EPTPUsBU9xaLrubxLgTdV5QLOLhohX7umZkZnD171pTHvffei9HRUfOH001EP3a9Xrf9\nGvgMJRXKdPda9gVoAq27jwN3P/ZAzU+adloP0MyZDKUTqADwfw+qNFE5mAquBDr6E+kHZVoNlzdy\nAOmnYfu4jPCTn/ykPX9oaAizs7OYnp7G0NAQpqamkE6ncfLkSTMjCGhso6YYKQgvLy8bgyOzouBw\n30madUxap7+zWCzi6tWrGBwcRD6fx8rKCi5evGg7IwGwQMDs7Cw2NjYwPj6OyclJvPXWW5ifnzc/\nEfM2L1++bLvER1HjjB76VIGGC6JcLqO7uxsDAwM2pgMDA6ZQmOdZKBRMVqrVqm3EUq/XzYXDNfrc\n1KWzsxPDw8PmaqCbgKufyuWyBR+5TVi1WsUbb7yBYrGIU6dOobOzE4cOHUKxWLQzeHp6epDNZu35\ncRxjaWnJGLmm+HDc6dLhO+h3CiRe9j2xUFaXBLhav6YgKYPV+z0wJ0WVtQ7/uZ/LbJcHWG+msy66\ngBgsVLccZbWrqwsf/OAHsbCwgKWlJTtLbHFxscXXrntV6AIOtknffa9lX4Cmdpx/qd2KUmqNInNw\ndEWPrysEzpoPCWDHChqNujH6yYmuSy87OjqwuLhorIVOcyaP0xRLp9P4x3/8R8zOziKVaqyPHRsb\nw9jYmG0owcBIsVi0ic7n08SgOU/NvrGxgZWVFdO0lUrFBIbmP8GfkWT2/9jYGPr7+21/xVdffdXe\nu7+/H5ubmzh27BiABsM7deoUNjY2MDk5af69paUlAA1/Lf2YNIVYL3/zfSjoURTZaaTZbBaVSgVA\nY0d8+jcZUFleXjZ/MxUZgaFUKhk7YQL+2toaOjs78eijj5qyyWaz9t6bm5s4c+aMpYm1tbWZP7JQ\nKLQcx0KAY8qPrpAiKFKeCAJkcgRMlTllbd705mfeBPY/IbnejQ2G5kTIN+qLb6eCpNbtTXrfHm/J\nMbDFVWQA0NfXZ7uYkdXPzc3h8ccfx8LCAgqFgsUTgObOULRCyeJ51DCfq0Esztu9ln0BmkBycmyI\nEfrfDOZ44VE/UMiM8c/3OWf++VEUGTtjwvPw8LCZD+ozZQoUTXiajBzcer1uK1R0+eH29jbGxsbQ\n09NjDJfvNz8/byBSLpftVEOdxGQq9N/pRgRkovQtdnd3Y3Fx0d6NADQxMYHnn38eCwsLxiyp3fv6\n+rC+vm5mdj6fxyc+8QljtMPDw7h8+bLtAMRlj+3tjZ3iFxcXsb3dunXbwsJCSxBtdHQUXV1dtnco\nfcacOARfJnuTJfKdNU+VgMnD1La2tvDBD34Qzz77rJlpbW1tuHHjhq1W4rhvbm7iwQcfxMrKCuI4\nNtbK8aCPlQqbaUUqN1QEuiDDs0LPDENLGUOgGTLDk+aNyjnnhmeK/n4Con8G6/DfJRET/V8BUt1e\nusotm83i+PHj+NrXvoZCoWCB076+PnR0dODw4cM4f/68ZSWQsGiWhwZYgWYwl8FT3e9WXSN7KfsC\nNNV04P/6Wz/Xz0JmgGo7+lX4vRfYUJ3+b6/BVRh1oMk4dDmlajQ6n3U53enTp3H9+nWsr69jeXnZ\nAgVtbW0WONje3rZdWLg6ie2gMNHRzbZooEuPXuB99BsxMkkf0tDQEB566CHcunULP/jBD2xXo4MH\nD2JgYABjY2O2tRwF9I033kChULCljisrKxgdHTWfVBzHtmnv6uoqcrmcLUR4++23jSkwfaijowPX\nr1/H5uam+QLZj9lsFvl8HrOzsy0pYvTdkuERYBnNPnr0qKWy0OXCfmQqS61Ww/ve9z68+OKLLe4Z\nskwqBcqQRvnVNUJ3g2YpMG0rZJ5SNjzzI2ipDIYUPgHIy+tuQR19hsq0urz4XQg49Vn+nZLqZlv1\nh/cTNOnS6ejowLlz52wbxq6uLqysrODNN9/E448/bmlsDKpqzjSPWKYrjGNCc92DJlPx3knZF6DJ\nEgI0/S4kNN6s9/5LvUd9OiHQ9HUkCZrWx0HX/6Oo9dhgCgc3VFZGcvToUZvEupEHfaD8TVcBgyjc\n+IKMh1uL6YYMIeag6RVMEu/p6cEDDzyAbDaLZ599Fm+++SaGh4dt7XShUECt1th7cnBw0BLWmXYz\nMDBgpnRnZ6dtvswNP/QogQsXLhgzBGD+xY2NDdy+fbtlstdqNdy8edPaQaDn7kfcS1OZBncS0v0L\naMZzEnGykYW0t7fjzJkz+N73vmfPVV8xtxasVCotR0JwJQ/HTKP2Kptkm/xMF3JQzvRz9VurbO5m\ndXkZ9+xVwdXLs8p8yJLz1+5W9L18cIVzhf3Cd1X2CTSAbW5uzmSnXm/sp/obv/EbuP/++/HII4/g\nq1/9akvuKoM8jI4DMJlRS07nBftIyc1eyr4BzZDfRf/2gOmFTiO+ek2ILerfXjDvVqdGyfk7pKlU\ni+ozfYqIRih141r6ZOI4xujoaIspQ6ZI1lcul7GysmIHgulyOgoNJ5SuQafPsa+vD3Nzc3jhhRcw\nPT2NVKqRpnXvvffi/vvvb2Gsq6urePPNNy1azbxEuhKAhi9Y80a5KxWDaXRtMPGbwSLuQ6r5s5wI\nZHMcEwa2eL0uL6U/ke/K3+xzpqARYB966CFTWH6dPxOu6/W6ndnDCcjNfplF4AFIx9ObtBqwVHlS\nefRy5QGUfytoa/FzSmWP93qw9cEZL79qWrN+Xb3m30V/e3BU5aC+0eHhYZPl/v5+bG01jj1+7LHH\n0NPTgwsXLpjC6ujosCM9gGYcQ+cX5w3HO44bQVfuv0q3zl7LvgFNIOyHSfI1qMNar9XrfVTR1+cZ\ngfprQs9P8hPp83ZzKPs2K4jyvpCbQicIAANTCiCfS4FQRzyDUF7Ia7WanatEgB0aGrKgEY9K4BJT\nRqm5cSsBjqYPQYuZAxooiaKo5X+djDpJycrJNmmq+X5Xl4Ru7MJJyeAYTTDm4eluUZqu89xzz7Wc\nS67AzToI7GSn/J718d35vpy4CgxeznRMQ8TAg44HOP5OmvDal/5z/9vLUMiX6YlGkoWn36nc6fv7\n53NMlG1yM5T19XWTN/ZtPp83C2BgYMCOI9FrWLi5ip5ES8XNOfkTGQgKFd+5SSX00iHA1BIyz71w\n7hXAk9oTul4HSdudxFY9q1BGETLV+LcyhZCpBTTO3aEbgWYOJ7vmuUVRYxVOLpez1T+caJqyogCo\nE5wsWq/zk04ViJ/M/l2V7ZBBkGGQaXLTFwblCG5k3dls1hYd8N2ZmkWA5zZvBFN9Z/qbOXYqL8p0\nFFQVWHyaT0hed3M16XiGlLzKTgjstHjmuBuAeOD2z08qailpH4Su2djYwPDwMBYWFrC11Tiji1sF\nRlFkG/ssLCxgbW2thXBw4UYURS3+Zc080VQ3XcG317KvQRPAjokFJIOgZySh65ImZ9L1P2oJCYT/\nezcHuwdLvTep3Xx/nYAKZPoMThQ1ITUlgyxKCwVL69N3CAG/ggyfrWawB4GQT02vY9uZykSfI329\nBCcCpw8IRlFk68e5td/o6CiWlpZstREDPu3t7Thw4IBt4MG6uQMSAZcypQEd9duxH3i/jhO/0wiu\n97lpvyUpct+XLElWk36vz1EfvPfzKRnQ65KYpD7Df65sVr/b3m4euZxKpewolaGhIbt+bGwM09PT\nAGDZLHwPPaqjVCrZZh20BLhCi+Drs272UvY9aALJYKnamyanmgUhgNH6kv7XyRkSwt0AzbeLRf8P\ngWXIEe0nSejvpO9DJpDWq6Yl34mBjHq9bvuOqunJ++42UTTvza900XdKGldep2yS/UMQBJqOfl7P\n3FX6dOk24HN4X7lcRqVSMabNnNBMJmNb/wGwgNLExITtPu/fV5dNUm7ITL3C4nvQP6wuAt0SUPsh\nSVY9Cw+xvZByDikoBQ3NLtA5oD8K/CoH6rPU/32KkQdP/b2xsYFLly7hgQcewGOPPYZ/+Id/wKlT\np3Dq1Cnbf3V0dNTcI1xFRubPQJ0GTbnDPxeiaLt0Ychey08EaO6lcDAVKD1LTdImSeaFB6Gkev21\nQBgY36nvRDVoqC4CXVIJCae2TSeFn4xqtitQsS5lq978823w9Wik1telf2t7PPiweDDV5aFkFAow\ncRzbHgGPPvoo2tvbd+x6xd20VlZWLJ2FbWHdPugURVELuGsaDAsnOnM2WXyfse+V2Sdd68fTK0d+\n7sfc1+UVQsi95OtPsvhC9fln7qbU19fX8a1vfQtPPPEE+vv78eqrr+Lw4cO2jd+NGzcsXU7NcdZL\nE39zc9P2ylR3ihZ1sey17AvQVFPGd2pSSQKSuz3H1x0ydUN0PdSu3djrbsIdulbNHa3Ts1bPZrk0\nMmROs/iIMIuCeFLQgt/5e/k5zTgPELyfzI/tVXaloMl7dBz0f3+f9h2DQOqTZZoS6/FBJt2flTtq\nMX2Jmw9fuHABw8PDJpuqxNS05vjpNTomer3mb4aKsnH1h2ofexnluCeN7W6mtLZFlbCXxd2sHK0r\nSYZCsu/rUYWaSqXw6quvYnJy0nJ8q9WqLcbo6emx84FoWRBIda/cer1xqig3HU+lmqcm6LlAP5FM\n0/tKdN9AlhCghSY9i7IQf2/INNnN5PST17OqJBMppEn1Wf5v31btC99uTSXyxQusTngPVr5uAqFv\nF4tOAA+WvNa7RjiuCux+0vm9AkJBIH7OZ3OJIv/m0RoEMTJOvlMURTbRnn/+eYyOjtpuOgwMXbly\nxUBeN61mH3rA9+/k+933bch1pCycz/AMX8dO69NULK9odH7wf16vVkAIzL3S9EWVA4FdZVXZPeWY\nz/ILTdgfdHV0dHRgaWkJR44cwZkzZ5BKpTA9PY3e3l7EcWzbSF67ds0yKXTDZ/YRj0zh4hO+L915\nbP+PNU8ziqIvAPi3AObjOP43dz4bAPB/AzgM4BqAT8ZxvHznu/8M4LMAtgH8hziOv7WXhoSiyH4D\ng9BkVxbAshvlJhiEnOpap/7m39608SxJS4jBhr5nCUXEOcB3i+ypORuqP6QolLHwPdTUDrU/5MtS\nRhS6j0EZvl+o3715GYok+7r1WgKBHw+2SSeyvnu9XseJEyda+oHLVXWHb/WBATDQDbF3ypf2pU5I\nz8ZV6fn3Umbu+0afzR17vDuHfUCQ4t9M0QLQwoS1H/w7qAykUqmW7QRDSp9t8wzXy4x31zDQ1t3d\nja2tLVy6dMl2+qevmGltL730EjKZjKXJsS94Oih36We+L1mmKjq268dtnv8FgP8K4C/ls/8E4P+J\n4/h3oyj6T3f+/49RFJ0E8O8AnAIwAeA7URTdF8fxrjCeSqXsPGz+0LTSTUlDa0S9FlRg9ZNRzRwF\nZM82k8DUP8eDhz5LPwN2pqVoPf5aLZ7JJBXPdH0QInS9ThLfHs/Elf1pH4dYuV7HSaGRZZ0kIZYa\nYpi81vetb4uCgLbZMyLK17PPPmv5fXQlaH9yw+dQQCkUaFHw9u+XNJbKsFROVDZDSpf9u5tS1ffd\n2NhAqVRCoVBAsVi09+7u7sbo6KhtPONdD2TZGxsbtnOTvptffaZMWhWDKg/9zjN1ulkGBgawurqK\nl156Cffee29L36+vr+PKlSs4cOCA4QTQDA5SFlinZlKoG4fP+7Ga53EcfzeKosPu448B+MCdv/8b\ngH8G8B/vfP53cRxXAVyNougSgPcA+NfdnsFjTSmk7e3tGB8ftxdRf1AIXDx70UmsDEpNtSRA2Q28\nWHfS57uBra5L3614EPegFnqG1+ahiaaMXXcD0vtVufj31c9CfqvQ+4fqCDFqgpoyq9D76f+h8eYE\nVAWrilbNefqDAewAWpUz7k+qQMg+8vKp7Jr1aqqV9q1PsufzFQBDfXq3QGJIYbMunpU1MTGxw/1F\nE9czMG6orbv+83uyajXt1R2gmwuzELB0vNRi0HGo1+u2F8OJEyfwne98Bx/5yEdQr9fxV3/1Vxb5\nPnjwIObm5sxS0A24lflrVkccN8/RSiIWSeVH9WmOxnE8c+fvWQCjd/4+AOAFue7Wnc9eSuM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j7UarUWhzZ9lxxINc/4Luoj5XvMzs7i9u3blgLV1dVlJgyThGnK9/b2IpVKIZfLtZimfC/6e/gu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\nF1EU56iRMQ/fXUHX19dz8uNySgjvtaasF63VasVrcCB+uj1K66GvI0SMA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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.imshow(np.reshape(low_rank[:,140], dims), cmap='gray');" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "hidden": true }, "outputs": [ { "data": { "image/png": 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E5z8DcN48jCKEkKkZPX2wJpSntI2SfT2zw1nbhtKahgrnqNWWhqpwnmu3NmRo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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.imshow(np.reshape(M[:,550] - low_rank[:,550], dims), cmap='gray');" ] }, { "cell_type": "markdown", "metadata": { "hidden": true }, "source": [ "#### Rank 1 Approximation" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "collapsed": true, "hidden": true }, "outputs": [], "source": [ "u, s, v = decomposition.randomized_svd(M, 1)" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "hidden": true }, "outputs": [ { "data": { "text/plain": [ "((4800, 1), (1,), (1, 11300))" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" } ], "source": [ "u.shape, s.shape, v.shape" ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "collapsed": true, "hidden": true }, "outputs": [], "source": [ "low_rank = u @ np.diag(s) @ v" ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "hidden": true }, "outputs": [ { "data": { "text/plain": [ "(4800, 11300)" ] }, "execution_count": 25, "metadata": {}, "output_type": "execute_result" } ], "source": [ "low_rank.shape" ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "hidden": true, "scrolled": true }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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7OQB4BwAcAMBPD8PwocPjbwCAXwWAEwDwxwDwzkFwp5cuXYKHHnqITKMlTrUH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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(12, 12))\n", "plt.imshow(low_rank, cmap='gray')" ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "hidden": true }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.imshow(np.reshape(M[:,550] - low_rank[:,550], dims), cmap='gray');" ] }, { "cell_type": "code", "execution_count": 35, "metadata": { "hidden": true }, "outputs": [ { "data": { "image/png": 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IX2UR8cAk9zY/MzVAh+dSH4OctaAnISJOtCOXnJDOPQg1QmdtjPa0L5HfOdUi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lulrrzTx4Cc8ePVajVv7ySP1Wq1tkbQfXX16tX55CPO8XRc0WwR/XG5MGODoUcoll9OXJlBZyww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\nSdN0PBMHa0UBvTDeQz4blzvRw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d5ZVd9RhwzoNSHrqHPVhst6jHFpjPHxqvpqVX1kmqYn\nJusnDZqvtfSBaZq+var+elX90Bjjg/5xOhwbbPRyhNdCHY/SP6zDsM23V9ULVfUPnmx1+jTGuF5V\n/7yq/s40Tbf826bKuqnzxst6mqaDI9t7W1W9f4zxH8Xvr5qsnzRofqWq3q7/33Z0bSPTNE1fOfr8\nalX9X3VI+V8cY7ylquro86tProaLaamOGyv/aZpePDKUVVX9ozoeXm1MnccYl+sQfP7JNE2/enR5\no2Xd1fm1IGvSNE0vV9VvVdV31xOS9ZMGzf+nqt41xnh+jHGlqj5UVb/2hOvUpjHG7hjjBt+r6r+s\nqk/VYX1/4Oi2H6iqf/FkanhqWqrjr1XVh8YY22OM56vqXVX10SdQvxMJYzhK31eHsq7akDqPw2Nx\nfqGqPjNN08/op42V9VKdXwOyfnaM8fTR952q+i+q6k/rScn61Z4Ja2bGvqcOZ/G+WFV/70nX55R6\nfmsdzsh9oqo+TV2r6g1V9S+r6vNV9ZtV9cwTruc/q8Mh1sM6jOX8jdPqWFV/70j2n62qv75Bdf4/\nq+qPq+qTR0bwlg2r8wfqcDj4yar6+NHf92yyrE+p86bL+j+uqn97VL9PVdX/cHT9icj6YkfQRbpI\nF+kiPUZ60sPzi3SRLtJFek2lC9C8SBfpIl2kx0gXoHmRLtJFukiPkS5A8yJdpIt0kR4jXYDmRbpI\nF+kiPUa6AM2LdJEu0kV6jHQBmhfpIl2ki/QY6QI0L9JFukgX6THS/wesROMzoJGEvQAAAABJRU5E\nrkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.imshow(np.reshape(M[:,140] - low_rank[:,140], dims), cmap='gray');" ] }, { "cell_type": "markdown", "metadata": { "hidden": true }, "source": [ "Let's zoom in on the people:" ] }, { "cell_type": "code", "execution_count": 36, "metadata": { "hidden": true }, "outputs": [ { "data": { "image/png": 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QsyZy3tx9990T5TIilfNFVTZsLy0DavHbnYeA8XzSaGpi1s45vcw88vu6sYvY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\n4dyOmupD4RZPe5EMPZFIJJYEC/Gh6/8j6eDQuUN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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.imshow(np.reshape(M[:,140] - low_rank[:,140], dims)[50:150,100:270], cmap='gray');" ] }, { "cell_type": "markdown", "metadata": { "hidden": true }, "source": [ "This is amazing for such a simple approach! We get somewhat better results through a more complicated algorithm below." ] }, { "cell_type": "code", "execution_count": 33, "metadata": { "hidden": true, "scrolled": true }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 33, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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C1fOVRepxqkbifWGbM+bO7ZxXwFg72+aiiy4CsDxnvM4dcPFoxTTttXtuZ2Xe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\n80owlKGt9DxXzlBMU9O4502P5ezkRx5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xs44TOLRmWxyqR0+GnkgkEguCucbQiaFMezXj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\nAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.imshow(np.reshape(S[:,140], dims)[50:150,100:270], cmap='gray')" ] }, { "cell_type": "markdown", "metadata": { "heading_collapsed": true }, "source": [ "## Principal Component Analysis (PCA)" ] }, { "cell_type": "markdown", "metadata": { "hidden": true }, "source": [ "When dealing with high-dimensional data sets, we often leverage on the fact that the data has **low intrinsic dimensionality** in order to alleviate the curse of dimensionality and scale (perhaps it lies in a low-dimensional subspace or lies on a low-dimensional manifold). [Principal component analysis](http://setosa.io/ev/principal-component-analysis/) is handy for eliminating dimensions. Classical PCA seeks the best rank-$k$ estimate $L$ of $M$ (minimizing $\\| M - L \\|$ where $L$ has rank-$k$). Truncated SVD makes this calculation!\n", "\n", "Traditional PCA can handle small noise, but is brittle with respect to grossly corrupted observations-- even one grossly corrupt observation can significantly mess up answer.\n", "\n", "**Robust PCA** factors a matrix into the sum of two matrices, $M = L + S$, where $M$ is the original matrix, $L$ is **low-rank**, and $S$ is **sparse**. This is what we'll be using for the background removal problem! **Low-rank** means that the matrix has a lot of redundant information-- in this case, it's the background, which is the same in every scene (talk about redundant info!). **Sparse** means that the matrix has mostly zero entries-- in this case, see how the picture of the foreground (the people) is mostly empty. (In the case of corrupted data, $S$ is capturing the corrupted entries)." ] }, { "cell_type": "markdown", "metadata": { "hidden": true }, "source": [ "### Applications of Robust PCA\n", "- **Video Surveillance**\n", "\n", "- **Face Recognition** photos from this excellent [tutorial](https://jeankossaifi.github.io/tensorly/rpca.html). The dataset here consists of images of the faces of several people taken from the same angle but with different illumniations.\n", "\n", " \"Robust\n", " ([Source: Jean Kossaifi](https://jeankossaifi.github.io/tensorly/rpca.html))\n", "\n", " \"Robust\n", " ([Source: Jean Kossaifi](https://jeankossaifi.github.io/tensorly/rpca.html))\n", "\n", "- Latent Semantic Indexing: $L$ captures common words used in all documents while $S$ captures the few key words that best distinguish each document from others\n", "\n", "- Ranking and Collaborative Filtering: a small portion of the available rankings could be noisy and even tampered with (see [Netflix RAD - Outlier Detection on Big Data](http://techblog.netflix.com/2015/02/rad-outlier-detection-on-big-data.html) on the official netflix blog)" ] }, { "cell_type": "markdown", "metadata": { "heading_collapsed": true, "hidden": true }, "source": [ "### L1 norm induces sparsity" ] }, { "cell_type": "markdown", "metadata": { "hidden": true }, "source": [ "The unit ball $\\lVert x \\rVert_1 = 1$ is a diamond in the L1 norm. It's extrema are the corners:" ] }, { "cell_type": "markdown", "metadata": { "hidden": true }, "source": [ " \"L1\n", " ([Source](https://www.quora.com/Why-is-L1-regularization-supposed-to-lead-to-sparsity-than-L2))\n", " \n", " A similar perspective is to look at the *contours* of the loss function:\n", " \"L2\n", " ([Source](https://www.quora.com/Why-is-L1-regularization-better-than-L2-regularization-provided-that-all-Norms-are-equivalent))" ] }, { "cell_type": "markdown", "metadata": { "heading_collapsed": true, "hidden": true }, "source": [ "### Optimization Problem" ] }, { "cell_type": "markdown", "metadata": { "hidden": true }, "source": [ "Robust PCA can be written:\n", "\n", "$$ minimize\\; \\lVert L \\rVert_* + \\lambda\\lVert S \\rVert_1 \\\\ subject\\;to\\; L + S = M$$\n", " \n", "where:\n", "\n", "- $\\lVert \\cdot \\rVert_1$ is the **L1 norm**. Minimizing the [L1 norm](https://medium.com/@shiyan/l1-norm-regularization-and-sparsity-explained-for-dummies-5b0e4be3938a) results in sparse values. For a matrix, the L1 norm is equal to the [maximum absolute column norm](https://math.stackexchange.com/questions/519279/why-is-the-matrix-norm-a-1-maximum-absolute-column-sum-of-the-matrix).\n", "\n", "- $ \\lVert \\cdot \\rVert_* $ is the **nuclear norm**, which is the L1 norm of the singular values. Trying to minimize this results in sparse singular values --> low rank.\n" ] }, { "cell_type": "markdown", "metadata": { "hidden": true }, "source": [ "### Implementing an algorithm from a paper" ] }, { "cell_type": "markdown", "metadata": { "hidden": true }, "source": [ "#### Source\n", "We will use the general **primary component pursuit algorithm** from this [Robust PCA paper](https://arxiv.org/pdf/0912.3599.pdf) (Candes, Li, Ma, Wright), in the specific form of **Matrix Completion via the Inexact ALM Method** found in [section 3.1 of this paper](https://arxiv.org/pdf/1009.5055.pdf) (Lin, Chen, Ma). I also referenced the implemenations found [here](https://github.com/shriphani/robust_pcp/blob/master/robust_pcp.py) and [here](https://github.com/dfm/pcp/blob/master/pcp.py)." ] }, { "cell_type": "markdown", "metadata": { "heading_collapsed": true, "hidden": true }, "source": [ "#### The Good Parts\n", "\n", "Section 1 of Candes, Li, Ma, Wright is nicely written, and section 5 Algorithms is our key interest. **You don't need to know the math or understand the proofs to implement an algorithm from a paper.** You will need to try different things and comb through resources for useful tidbits. This field has more theoretical researchers and less pragmatic advice. It took months to find what I needed and get this working.\n", "\n", "The algorithm shows up on page 29:\n", "\n", " \"PCP" ] }, { "cell_type": "markdown", "metadata": { "hidden": true }, "source": [ "needed definitions of $\\mathcal{S}$, the Shrinkage operator, and $\\mathcal{D}$, the singular value thresholding operator:\n", "\n", " \"PCP" ] }, { "cell_type": "markdown", "metadata": { "hidden": true }, "source": [ "Section 3.1 of [Chen, Lin, Ma]() contains a faster vartiation of this:\n", "\n", " \"Inexact\n", "\n", "And Section 4 has some very helpful implementation details on how many singular values to calculate (as well as how to choose the parameter values):\n", "\n", " \"SVP " ] }, { "cell_type": "markdown", "metadata": { "heading_collapsed": true, "hidden": true }, "source": [ "### If you want to learn more of the theory:\n", "\n", "- Convex Optimization by Stephen Boyd (Stanford Prof): \n", " - [OpenEdX Videos](https://www.youtube.com/playlist?list=PLbBM_dvjud8oFj09MqqYnGSrT6zek42Q0)\n", " - [Jupyter Notebooks](http://web.stanford.edu/~boyd/papers/cvx_short_course.html)\n", "- Alternating Direction Method of Multipliers (more [Stephen Boyd](http://stanford.edu/~boyd/admm.html))" ] }, { "cell_type": "markdown", "metadata": { "heading_collapsed": true }, "source": [ "## Robust PCA (via Primary Component Pursuit)" ] }, { "cell_type": "markdown", "metadata": { "hidden": true }, "source": [ "### Methods" ] }, { "cell_type": "markdown", "metadata": { "hidden": true }, "source": [ "We will use [Facebook's Fast Randomized PCA](https://github.com/facebook/fbpca) library." ] }, { "cell_type": "code", "execution_count": 48, "metadata": { "collapsed": true, "hidden": true }, "outputs": [], "source": [ "from scipy import sparse\n", "from sklearn.utils.extmath import randomized_svd\n", "import fbpca" ] }, { "cell_type": "code", "execution_count": 49, "metadata": { "collapsed": true, "hidden": true }, "outputs": [], "source": [ "TOL=1e-9\n", "MAX_ITERS=3" ] }, { "cell_type": "code", "execution_count": 50, "metadata": { "collapsed": true, "hidden": true }, "outputs": [], "source": [ "def converged(Z, d_norm):\n", " err = np.linalg.norm(Z, 'fro') / d_norm\n", " print('error: ', err)\n", " return err < TOL" ] }, { "cell_type": "code", "execution_count": 51, "metadata": { "collapsed": true, "hidden": true }, "outputs": [], "source": [ "def shrink(M, tau):\n", " S = np.abs(M) - tau\n", " return np.sign(M) * np.where(S>0, S, 0)" ] }, { "cell_type": "code", "execution_count": 52, "metadata": { "collapsed": true, "hidden": true }, "outputs": [], "source": [ "def _svd(M, rank): return fbpca.pca(M, k=min(rank, np.min(M.shape)), raw=True)" ] }, { "cell_type": "code", "execution_count": 53, "metadata": { "collapsed": true, "hidden": true }, "outputs": [], "source": [ "def norm_op(M): return _svd(M, 1)[1][0]" ] }, { "cell_type": "code", "execution_count": 54, "metadata": { "collapsed": true, "hidden": true }, "outputs": [], "source": [ "def svd_reconstruct(M, rank, min_sv):\n", " u, s, v = _svd(M, rank)\n", " s -= min_sv\n", " nnz = (s > 0).sum()\n", " return u[:,:nnz] @ np.diag(s[:nnz]) @ v[:nnz], nnz" ] }, { "cell_type": "code", "execution_count": 97, "metadata": { "collapsed": true, "hidden": true }, "outputs": [], "source": [ "def pcp(X, maxiter=10, k=10): # refactored\n", " m, n = X.shape\n", " trans = m 1/mu is returned as svp\n", " L, svp = svd_reconstruct(X2 - S, sv, 1/mu)\n", " \n", " # If svp < sv, you are already calculating enough singular values.\n", " # If not, add 20% (in this case 240) to sv\n", " sv = svp + (1 if svp < sv else round(0.05*n))\n", " \n", " # residual\n", " Z = X - L - S\n", " Y += mu*Z; mu *= rho\n", " \n", " examples.extend([S[140,:], L[140,:]])\n", " \n", " if m > mu_bar: m = mu_bar\n", " if converged(Z, d_norm): break\n", " \n", " if trans: L=L.T; S=S.T\n", " return L, S, examples" ] }, { "cell_type": "markdown", "metadata": { "hidden": true }, "source": [ "the algorithm again (page 29 of [Candes, Li, Ma, and Wright](https://arxiv.org/pdf/0912.3599.pdf))\n", "\n", " \"PCP" ] }, { "cell_type": "markdown", "metadata": { "hidden": true }, "source": [ "### Results" ] }, { "cell_type": "code", "execution_count": 71, "metadata": { "hidden": true }, "outputs": [ { "data": { "text/plain": [ "240" ] }, "execution_count": 71, "metadata": {}, "output_type": "execute_result" } ], "source": [ "m, n = M.shape\n", "round(m * .05)" ] }, { "cell_type": "code", "execution_count": 78, "metadata": { "hidden": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "rank sv: 1\n", "error: 0.131637937114\n", "rank sv: 241\n", "error: 0.0458515689278\n", "rank sv: 49\n", "error: 0.00591314217762\n", "rank sv: 289\n", "error: 0.000567221885441\n", "rank sv: 529\n", "error: 2.4633786172e-05\n" ] } ], "source": [ "L, S, examples = pcp(M, maxiter=5, k=10)" ] }, { "cell_type": "code", "execution_count": 96, "metadata": { "hidden": true, "scrolled": false }, "outputs": [ { "data": { "image/png": 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iIalJT6oaw+2eOXOmjp999tk6PnLkyGAfrPzykY98ZPRz7iM1++H55PKlDKMp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AAAACYEC3QAAAAAgAmxrhIXZahjRWSM/KQlwRgqOcm0ryXV0W2mTMKFLJmkUJlzW9umGZnK2AQ2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\nOZy8ppWU0ck+tL2ZZ35L2uPWE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tM+VXmNSoAUPf78+fOdvz399NM11n5UadEXvvCF3nL7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\n9Lh0O5WZ6PFpm5wkIiYjUimMJj3a2NiosSYLWl9fr/Fjjz1WY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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plots(examples, dims, rows=5)" ] }, { "cell_type": "code", "execution_count": 92, "metadata": { "hidden": true }, "outputs": [ { "data": { "image/png": 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dyYhbMjUlU1Lv1V5nSceht5b0OHJHSl2cseQx+X544403Srt+J3zlK1+55P6q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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "f = plt_images(M, S, L, [140], dims)" ] }, { "cell_type": "code", "execution_count": 37, "metadata": { "collapsed": true, "hidden": true }, "outputs": [], "source": [ "np.save(\"high_res_L.npy\", L)\n", "np.save(\"high_res_S.npy\", S)" ] }, { "cell_type": "code", "execution_count": 38, "metadata": { "hidden": true }, "outputs": [ { "data": { "image/png": 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DNl6rwzH4DhqgaQ+dVhT0mnbl6kUDavNnp7+Z4uQF0iRDh5PpuaoJBbBM5glA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JFHHHfKZrOanp5Wu93Wc889p3q9rosXL+qGG25QJpNRuVx2BPns2bNaWVlxwqTb7TrulEwm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\nyWRSm5ubKpVKb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/+m48eP6+DBg8pms/rbv/1bHT16VLOzszp37pyKxaJOnjyp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66qu2dQJQXwSDXhp6WmmAMCKAc5jghqF7zI3gokrwx/A+eqVo6GhlVS7Su3btwnnnnWfJ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\nizEXgdXOA6+FUq/tFZp3Ju1qZGh4kRVebVM2UBcuLRLD5+3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slEwmrZATAMtr+f/YO5fn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V1VqVTSBx98oB//+MdqNpv65JNP1O/39c//+T8PbvdutxusovPz8zo4OEiEOXQ6nefyzVhgKGKU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C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2XekDaWwd4FqUhSXGKA8+Z7zYCKjewr1993K/31epVJIkbW1tqdFouNwszgsg14lnsCgl\nBaxsFrRapU1SKePHWQmdTkeFQkHJZDJwaBsJsHipeJ9cLufazKngtjqjnU/S4aIvl8suOZR37XQ6\nqtfrgXDRVqvlLDbtdlvnz5/X1taWqxJ0Kg+XsGFPA5g+EEcvRV13FOIwi1jQf5RrT1IWef9ppHYS\nqZqHYFrga689jsxy/bS22fl2HC/eSc3DH1cJw042umYSdvJx1DTsBOmYhp1ee+01SWPsRIjYIrET\nbfa/G4ader2ecrmciyay2Mmef2SxU7vddobZadiJa/G2ELa2aOxkPYT2nEu8KjafrNVqBcL3JmEn\nqt7F43GXomAPtQU7MYfAYzz/qNiJ8MzjYieukQ6xU7FYVC6Xmxs7nTt3bm7stBQEyi4uOg/3rFUM\nTDwmJO5nYlCtcsedSrlHkg0ZAED8P//zP7tJ2+v1AnlAkgKDF4vF9Od//ufa2dlRvV4PuHdLpZKq\n1aqbbJyZxPkGo9FIGxsbLvGNBDeb7Ef7yX0i5Au3rq233+v1dHBwECCGLCCsQyRrssg4VI242kwm\nE3D505+W2GAd4jmVSkW5XM6d8G3dysRb2/hixsYmAubzeUnjOGisFFhguJ6ESzYEFiRjQQJjJpNx\n7897YXHr9XpurLDGEHedSqUC728VKSGFWLqsG3o4HLqTz6n6g4JHUeK+5gA9FAuWMuYYn9sS63YO\nMpZ4CRG8krjC79y5o+FwqB/96Ecu9OFUlk98b8hRwah/zSSQ7JOtRXoAFjHPjuK9WgQpmNYWnxz6\nHht7/7C+5f/oUj8MzieePrjlOZNImyV1x81LOpWHT04KOxGeddLYKRaLqVwuq1KpHBk7ETq8SOwE\n6SOUEOwEsYjCTvYQ2kVjp36/r2w2q3Q67fo4DDtJCmAnaUwOGQv6LpvNOuwCQZXk+sDHTvQT2AnS\nZLEThJd7W/LuYydbdZAxpM/vN3a6efPm3NhpKQhU2EZERQyYJi9tQ9msR8OG5THBsB7gOsUS0ev1\n9OlPf1rPPfecc+sBeiENKysreuWVV/T0009rNBo5sP7JT35Sf//3f+/yVGzltFwup8Fg4PJXCP9j\ngjHZbRlRvD/SeHISG7q9ve28JtaawT+sMVhFqGkP0QD02/hXEi9ZvChOlAPvgwWAhYky2tjYcH+3\nRAOl2+v1VCwWA27dXq8XOP/AL+9JW1GA/M44WPe0rZRCQiXvhaWDcEKej5ud363bmIINtIX5xEKm\nT5g/9twHxo+2IfSlBVMWNPlFM6z3EUuOvz6YY1yL1YkiGmtra+p2u6rX64EzE05l+cQH/z4wt/kl\nx7H2z/r8ByFW99j3O4n3DXtulMz67KjvWRJjw74tQPBziBZFok/lx08WiZ3Y4yEukBm8CYDR3//9\n39dzzz0nScfGTuzVR8FO7LFgj0VhJ4iUpABBwgtnjRoWO0FMfewEAZsXO0FifOzE9y128scxDDvR\nxn6/78YYbAdhhHBKcuNkSZ6dU/QZv9MO8BShoRC8WbGTzZvj82XFTktBoPwDTgH5DLS/UbApSYcD\nl81mXewmIJyzDAqFglqtlj71qU/pd3/3d9Xr9fQ7v/M7+tSnPuUYOq5Vm2yWSCR0+/ZtbW9v68tf\n/rL+3//7f/rud7+rL3zhC1pdXdWjjz4aWNjFYlH5fF67u7suKVIKj+0Mm5C+O3owGLhDzWgbsbXW\nojQYDFStVtXtdl0CJ25XFiBtYQHR176rnnaywbPAYP2NRsPl6FjSl8vlXHtYPDs7O64YB+9rTwu3\nIUf5fN4lO2YyGff/wWCgSqXirrNx1ywGLDYIhI33tWcycBo25IjTrAEzlsxKUrFYVLPZdJYm4o9x\nUfMuzCPenQXNPf2QA6v8fPCINYbvW6VvlZcNR6RNeOK63e49VpdTWQ4J02V2/ob9vuhnnpTMQwTC\nvHCzEruo7/meorD2TGuf7yGcV8IALZu/9TrZnLVZ7xnmHbP3tqTsVH48ZJHYibB/vA35fF7tdlu/\n+Iu/qN/7vd9Tr9fTb//2b8+Fnf7zP/9Tn/jEJ04MOzHv7wd2snt2FHaynjraYrGTHasw7NTv9yOx\nk/VoSUHsxP4/DTtBqix2QpdApPAEkqMEdoI8YnhGwrBTPp93GGU0GrmS5D52ghw9rNhpKQiUdG8s\nv/Wa8Jmd/HQ8HguS3LBk4MK7e/euPvOZz+i5555zA/eFL3xBrVbLfReB/e7u7mpjY0Mvvviibty4\noX6/r8997nPa3d11LlTOY6pWq64Kze3btwNVQgiHo8gAk98qMBYdise62anw1+8fljKnvViHqETj\nV3bBHV4oFBSLHYa6WVCBUoFQWOuUHQ/rxZHkFCyTEncn1gbeJZlMOmsLhIYkxmaz6e7H++LmTSQS\njv1nMhmXAFgoFJyFptVqORLnxxizAO15AdaaQhIkliZ/DpGIKI0PZ+Pv/X5f1WrVKSQLjiBPvoKP\nxWIqFosBCxnKjjbSfuLB2fhwT/MMxFc6KHDWhn3fU1l+CfNGhXlmFvm8kyJU89w3jKiEEYV5nuv3\n5VHfk/4PC9ObRlCiQgABVtK9peqnvbdvPbdhgfYeD1MI3ynRW5zMgp0A1j52Yi+y2AmvxNbWVgA7\nxeNx/cu//IsrYjALdur1evrc5z6nnZ2dqdiJOTEvduK9FoWdyM8Kw07s41HYiZ8+diLnBmB/FOyE\nAdyWebchcuCYKOyEY4H2+FFCs2AnsAZzCBIWj8ddYQtIE55OiOj9xk7oSeQksNNSECg6hMklyVkM\nbEiVJRh8n0FlQX3oQx/Ss88+q4997GMBl9/e3p7u3LmjSqWi973vfYrFYm4REV+6srKira0tXbhw\nQZVKRe95z3v0X//1XxoMBsrn87pw4YLrfBIJy+WyYrGY9vf3ncWHBUUeDG0jhhVhAlE4gUFk0GkT\noB7Wz0LK5/Nu0kjjCWIngA2LazQabmET10pf4tkZDofuOXxuLU2rq6suMRMFZNuXy+VcyUuUw3A4\ndMQJBc7kZ3HQLltdhgpBNiGW8EwWPImv3FeSyuWyi5Hl8D3Grdlsun5CgZfLZfcsqr7EYofVCRuN\nhistTslSNh8WHO9iK/6wOJvNpvvMJnzasR+NRq5QCNYvLDbMc6RarbpNAatbNpvVzs6Om2t2YzuV\nh0tOAgDP4pm53zKPJ4jvR4HuRYLx4z4njBjNen3Y9wGEPhjwwwHZkx4WYvKg5987RWbFTpZg8H2M\niewvP/mTP6lnn31WP/3TPz0RO7F3zoKd+v2+CoWCLl68GIqdJGlvb88RAfbPZcVOkB+Lndiz2e+l\ncWlt+p/2U9gqDDvhDZyEnazXbVHYifZLh9gJsjUJO9VqNaXTaVdVr91uu6JfYCdbsIMKipOwE3jm\nYcJOS0GgpLFFgZ8sJJv8NxqNXD6LLacoyXXMr//6r+vxxx8PHD776quvqtVq6T/+4z+Uz+f1wx/+\nUJ/4xCdcRzKphsOhNjY29LWvfU1/+qd/qlwup1KppJWVw8p32WzWuUmr1aoSiYR2dnbcuQaQJ9i4\ntajwOW1CoQ2HQxdmhjLkvTi0ThqXRsc6hNLgvlhq7OThHpJc8iOTkeuGw2EglA2xrmasNFgKUA52\nfNLptOsbFCMLhuRILD3cf39/35UCp3JMv9/XxYsXVa/XXThBLBZzLlarPLivTTLkXcmFg/xZy1Ct\nVlMmk3HWr2q16sbCescSiYTOnDnjinHs7u66AhhY4CjIgTJjrH13M8+2C9TGDXPAHmOL1Y22M2fs\nnMBr2Ww2AxZBlMupLLfY+cJmy999gDmL9yNKFh0SuAihTX4YRti72+9zzTyeoFn+HiaL6qswMjjP\n823on//uNsRlXg/UIon0MpDyH1dZFHb6jd/4jQB26vf7evXVV9VoNPSlL30pFDuxDw+HQ21ubupr\nX/ua/uRP/kTZbFZra2sB7ERlX6rW1mo1h50A8r7XJwo78a75fN4VYOBdpMVjJ4jfJOxkdRreljDs\nBAmyR+UQdjkLdorH49rb2wvFTufPn3fFNix2Yg6EYafhcOgIBaRrGnYi5LFWqwXuAVnnHnifut2u\nI4tR2Ml6oCye49kWO4GxwU6UZ7/f2GkpCBQLx1pRrAtQkrP8k2BowYc0Lgf5W7/1W/qnf/onXbp0\nyS3eP/iDP9BoNHInFv/rv/6r1tbWJP3/9s4luZGii8K39LQtyW6/2jRMCKYshg2wADYEM1gAMwa9\nCpbAiAgiGkzb1lt+SK5/oPhSp/Kvkkq2ZambeyI6ulsqVeXjZta5z5wP5E8//WSVSsXev39v7969\ns9lsZsfHx0HrRUDQtLHOoPGmaRoOTEW7JtRNtWZyd+gri4IEPvrDQtd8I7Uec2q0Eg7iZXWBj8fj\nUHWl0WjY4eFhRnPP2xh4BtbNmNSxGejLnIVAhZ7RaBRKfJKIitu72Wz+X4zpYDAIyZKEypnNKxsO\nh8OgaPR6PUvTNFMcYzKZBEVF3ftYYPBOIU+4om9vbzMucrXCYP0BVOBRaw+x0Tr2WJoIQUChVrc2\nZyPQLuRB5wBPn849480ZCCRAMn+6jprNph0eHpZef47tgBeahovFIWCAl8xLkNRdILtF3pZ1f5f3\nfRweuGkFclXbX/KZseKoMrQu8pTXp2Lb8vRfxSa50+3trf3www+WpvMckdlsZr/++qsdHx+HPJkf\nf/zR6vW6vX//3i4uLmw2m9nJyUkp7kTYlnInTRNYxp14d6vx22w5d6Idm+JO7OOMf2wk0lA//g2X\nU+5E8bM87oTCBmLuxPfP4U7MVRnupKXHGX9CQ1GG1ehttj53Uo+cFspQr9O2uNNOKFDLQLylWh0Y\nYDMLIXxnZ2c2mUz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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "f = plt_images(M, S, L, [0, 100, 1000], dims)" ] }, { "cell_type": "markdown", "metadata": { "hidden": true }, "source": [ "Extracting a bit of the foreground is easier than identifying the background. To accurately get the background, you need to remove all the foreground, not just parts of it" ] }, { "cell_type": "markdown", "metadata": { "heading_collapsed": true }, "source": [ "## LU Factorization" ] }, { "cell_type": "markdown", "metadata": { "hidden": true }, "source": [ "Both `fbpca` and our own `randomized_range_finder` methods used LU factorization, which factors a matrix into the product of a lower triangular matrix and an upper triangular matrix." ] }, { "cell_type": "markdown", "metadata": { "hidden": true }, "source": [ "#### Gaussian Elimination" ] }, { "cell_type": "markdown", "metadata": { "hidden": true }, "source": [ "This section is based on lectures 20-22 in Trefethen." ] }, { "cell_type": "markdown", "metadata": { "hidden": true }, "source": [ "If you are unfamiliar with Gaussian elimination or need a refresher, watch [this Khan Academy video](https://www.khanacademy.org/math/precalculus/precalc-matrices/row-echelon-and-gaussian-elimination/v/matrices-reduced-row-echelon-form-2)." ] }, { "cell_type": "markdown", "metadata": { "hidden": true }, "source": [ "Let's use Gaussian Elimination by hand to review:\n", "\n", "A =\n", " \\begin{pmatrix}\n", " 1 & -2 & -2 & -3 \\\\\n", " 3 & -9 & 0 & -9 \\\\\n", " -1 & 2 & 4 & 7 \\\\\n", " -3 & -6 & 26 & 2\n", " \\end{pmatrix}" ] }, { "cell_type": "markdown", "metadata": { "hidden": true }, "source": [ "#### Answer:" ] }, { "cell_type": "markdown", "metadata": { "hidden": true }, "source": [ "$$ LU = \\begin{bmatrix} 1 & 0 & 0 & 0\\\\ 3 & 1 & 0 & 0 \\\\ -1 & 0 & 1 & 0 \\\\ -3 & 4 & -2 & 1\\end{bmatrix} \\cdot \\begin{bmatrix} 1 & -2 & -2 & -3 \\\\ 0 & -3 & 6 & 0 \\\\ 0 & 0 & 2 & 4 \\\\ 0 & 0 & 0 & 1 \\end{bmatrix}$$" ] }, { "cell_type": "markdown", "metadata": { "hidden": true }, "source": [ "Above example is from Lectures 20, 21 of Trefethen." ] }, { "cell_type": "markdown", "metadata": { "hidden": true }, "source": [ "**Gaussian Elimination** transform a linear system into an upper triangular one by applying linear transformations on the left. It is *triangular triangularization*.\n", "\n", "$ L_{m-1} \\dots L_2 L_1 A = U $\n", "\n", "L is *unit lower-triangular*: all diagonal entries are 1" ] }, { "cell_type": "code", "execution_count": 206, "metadata": { "collapsed": true, "hidden": true }, "outputs": [], "source": [ "def LU(A):\n", " U = np.copy(A)\n", " m, n = A.shape\n", " L = np.eye(n)\n", " for k in range(n-1):\n", " for j in range(k+1,n):\n", " L[j,k] = U[j,k]/U[k,k]\n", " U[j,k:n] -= L[j,k] * U[k,k:n]\n", " return L, U" ] }, { "cell_type": "code", "execution_count": 207, "metadata": { "collapsed": true, "hidden": true }, "outputs": [], "source": [ "A = np.array([[2,1,1,0],[4,3,3,1],[8,7,9,5],[6,7,9,8]]).astype(np.float)" ] }, { "cell_type": "code", "execution_count": 208, "metadata": { "collapsed": true, "hidden": true }, "outputs": [], "source": [ "L, U = LU(A)" ] }, { "cell_type": "code", "execution_count": 44, "metadata": { "hidden": true }, "outputs": [ { "data": { "text/plain": [ "True" ] }, "execution_count": 44, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.allclose(A, L @ U)" ] }, { "cell_type": "markdown", "metadata": { "hidden": true }, "source": [ "The LU factorization is useful!\n", "\n", "Solving Ax = b becomes LUx = b:\n", "1. find A = LU\n", "2. solve Ly = b\n", "3. solve Ux = y" ] }, { "cell_type": "markdown", "metadata": { "hidden": true }, "source": [ "**Work**\n", "\n", "Work for Gaussian Elimination: $2\\cdot\\frac{1}{3} n^3$" ] }, { "cell_type": "markdown", "metadata": { "hidden": true }, "source": [ "**Memory**\n", "\n", "Above, we created two new matrices, $L$ and $U$. However, we can store the values of $L$ and $U$ in our matrix A (overwriting the original matrix). Since the diagonal of $L$ is all $1$s, it doesn't need to be stored. Doing factorizations or computations **in-place** is a common technique in numerical linear algebra to save memory. Note: you wouldn't want to do this if you needed to use your original matrix $A$ again in the future. One of the homework questions is to rewrite the LU method to operate in place." ] }, { "cell_type": "markdown", "metadata": { "hidden": true }, "source": [ "Consider the matrix $$ A = \\begin{bmatrix} 10^{-20} & 1 \\\\ 1 & 1 \\end{bmatrix} $$" ] }, { "cell_type": "code", "execution_count": 128, "metadata": { "collapsed": true, "hidden": true }, "outputs": [], "source": [ "A = np.array([[1e-20, 1], [1,1]])" ] }, { "cell_type": "markdown", "metadata": { "hidden": true }, "source": [ "By hand, use Gaussian Elimination to calculate what L and U are:" ] }, { "cell_type": "markdown", "metadata": { "hidden": true }, "source": [ "#### Answer" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true, "hidden": true }, "outputs": [], "source": [ "#Exercise:\n" ] }, { "cell_type": "code", "execution_count": 123, "metadata": { "collapsed": true, "hidden": true }, "outputs": [], "source": [ "np.set_printoptions(suppress=True)" ] }, { "cell_type": "code", "execution_count": 127, "metadata": { "collapsed": true, "hidden": true }, "outputs": [], "source": [ "#Exercise:\n" ] }, { "cell_type": "code", "execution_count": 129, "metadata": { "hidden": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[ 1.00000000e-20 1.00000000e+00]\n", " [ 0.00000000e+00 -1.00000000e+20]]\n" ] } ], "source": [ "L2, U2 = LU(A)" ] }, { "cell_type": "code", "execution_count": 130, "metadata": { "hidden": true }, "outputs": [ { "data": { "text/plain": [ "(array([[ 1.00000000e+00, 0.00000000e+00],\n", " [ 1.00000000e+20, 1.00000000e+00]]),\n", " array([[ 1.00000000e-20, 1.00000000e+00],\n", " [ 0.00000000e+00, -1.00000000e+20]]))" ] }, "execution_count": 130, "metadata": {}, "output_type": "execute_result" } ], "source": [ "L2, U2" ] }, { "cell_type": "code", "execution_count": 84, "metadata": { "hidden": true }, "outputs": [ { "data": { "text/plain": [ "True" ] }, "execution_count": 84, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.allclose(L1, L2)" ] }, { "cell_type": "code", "execution_count": 85, "metadata": { "hidden": true }, "outputs": [ { "data": { "text/plain": [ "True" ] }, "execution_count": 85, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.allclose(U1, U2)" ] }, { "cell_type": "code", "execution_count": 86, "metadata": { "hidden": true, "scrolled": true }, "outputs": [ { "data": { "text/plain": [ "False" ] }, "execution_count": 86, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.allclose(A, L2 @ U2)" ] }, { "cell_type": "markdown", "metadata": { "hidden": true }, "source": [ "This is the motivation for $LU$ factorization **with pivoting**.\n", "\n", "This also illustrates that LU factorization is *stable*, but not *backward stable*. (spoiler alert: even with partial pivoting, LU is \"explosively unstable\" for certain matrices, yet stable in practice)" ] }, { "cell_type": "markdown", "metadata": { "hidden": true }, "source": [ "#### Stability" ] }, { "cell_type": "markdown", "metadata": { "hidden": true }, "source": [ "An algorithm $\\hat{f}$ for a problem $f$ is **stable** if for each $x$,\n", "$$ \\frac{\\lVert \\hat{f}(x) - f(y) \\rVert}{ \\lVert f(y) \\rVert } = \\mathcal{O}(\\varepsilon_{machine}) $$\n", "\n", "for some $y$ with\n", "$$ \\frac{\\lVert y - x \\rVert }{\\lVert x \\rVert} = \\mathcal{O}(\\varepsilon_{machine}) $$" ] }, { "cell_type": "markdown", "metadata": { "hidden": true }, "source": [ "**A stable algorithm gives nearly the right answer to nearly the right question** (Trefethen, pg 104)\n", "\n", "To translate that:\n", "- right question: $x$\n", "- nearly the right question: $y$\n", "- right answer: $f$\n", "- right answer to nearly the right question: $f(y)$" ] }, { "cell_type": "markdown", "metadata": { "hidden": true }, "source": [ "#### Backwards Stability" ] }, { "cell_type": "markdown", "metadata": { "hidden": true }, "source": [ "Backwards stability is both **stronger** and **simpler** than stability. \n", "\n", "An algorithm $\\hat{f}$ for a problem $f$ is **backwards stable** if for each $x$,\n", "$$ \\hat{f}(x) = f(y) $$\n", "\n", "for some $y$ with\n", "$$ \\frac{\\lVert y - x \\rVert }{\\lVert x \\rVert} = \\mathcal{O}(\\varepsilon_{machine}) $$\n", "\n", "**A backwards stable algorithm gives exactly the right answer to nearly the right question** (Trefethen, pg 104)\n", "\n", "Translation:\n", "\n", "- right question: $x$\n", "- nearly the right question: $y$\n", "- right answer: $f$\n", "- right answer to nearly the right question: $f(y)$" ] }, { "cell_type": "markdown", "metadata": { "hidden": true }, "source": [ "### LU factorization with Partial Pivoting" ] }, { "cell_type": "markdown", "metadata": { "hidden": true }, "source": [ "Let's now look at the matrix $$ \\hat{A} = \\begin{bmatrix} 1 & 1 \\\\ 10^{-20} & 1 \\end{bmatrix} $$" ] }, { "cell_type": "code", "execution_count": 89, "metadata": { "collapsed": true, "hidden": true }, "outputs": [], "source": [ "A = np.array([[1,1], [1e-20, 1]])" ] }, { "cell_type": "markdown", "metadata": { "hidden": true }, "source": [ "By hand, use Gaussian Elimination to calculate what L and U are:" ] }, { "cell_type": "markdown", "metadata": { "hidden": true }, "source": [ "#### Answer" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true, "hidden": true }, "outputs": [], "source": [ "#Exercise:\n" ] }, { "cell_type": "code", "execution_count": 90, "metadata": { "collapsed": true, "hidden": true }, "outputs": [], "source": [ "L, U = LU(A)" ] }, { "cell_type": "code", "execution_count": 93, "metadata": { "hidden": true }, "outputs": [ { "data": { "text/plain": [ "True" ] }, "execution_count": 93, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.allclose(A, L @ U)" ] }, { "cell_type": "markdown", "metadata": { "hidden": true }, "source": [ "Idea: We can switch the order of the rows around to get more stable answers! This is equivalent to multiplying by a permutation matrix $P$. For instance,\n", "\n", "$$\\begin{bmatrix} 0 & 1 \\\\ 1 & 0 \\end{bmatrix} \\cdot \\begin{bmatrix} 10^{-20} & 1 \\\\ 1 & 1 \\end{bmatrix} = \\begin{bmatrix} 1 & 1 \\\\ 10^{-20} & 1 \\end{bmatrix} $$\n", "\n", "$$ PA = \\hat{A} $$\n", "\n", "Apply Gaussian elimination to $PA$." ] }, { "cell_type": "markdown", "metadata": { "hidden": true }, "source": [ "At each step, choose the largest value in column k, and move that row to be row k." ] }, { "cell_type": "markdown", "metadata": { "heading_collapsed": true, "hidden": true }, "source": [ "#### Homework" ] }, { "cell_type": "code", "execution_count": 100, "metadata": { "collapsed": true, "hidden": true }, "outputs": [], "source": [ "def swap(a,b):\n", " temp = np.copy(a)\n", " a[:] = b\n", " b[:] = temp\n", "\n", "a=np.array([1,2,3])\n", "b=np.array([3,2,1])\n", "swap(a,b)\n", "a,b" ] }, { "cell_type": "code", "execution_count": 102, "metadata": { "collapsed": true, "hidden": true }, "outputs": [], "source": [ "#Exercise: re-write the LU factorization above to use pivoting\n" ] }, { "cell_type": "markdown", "metadata": { "heading_collapsed": true, "hidden": true }, "source": [ "#### Example" ] }, { "cell_type": "code", "execution_count": 104, "metadata": { "collapsed": true, "hidden": true }, "outputs": [], "source": [ "A = np.array([[2,1,1,0],[4,3,3,1],[8,7,9,5],[6,7,9,8]]).astype(np.float)" ] }, { "cell_type": "code", "execution_count": 105, "metadata": { "collapsed": true, "hidden": true }, "outputs": [], "source": [ "L, U, P = LU_pivot(A)" ] }, { "cell_type": "markdown", "metadata": { "hidden": true }, "source": [ "Can compare below to answers in Trefethen, page 159:" ] }, { "cell_type": "code", "execution_count": 106, "metadata": { "hidden": true }, "outputs": [ { "data": { "text/plain": [ "array([[ 2., 1., 1., 0.],\n", " [ 4., 3., 3., 1.],\n", " [ 8., 7., 9., 5.],\n", " [ 6., 7., 9., 8.]])" ] }, "execution_count": 106, "metadata": {}, "output_type": "execute_result" } ], "source": [ "A" ] }, { "cell_type": "code", "execution_count": 107, "metadata": { "hidden": true }, "outputs": [ { "data": { "text/plain": [ "array([[ 8. , 7. , 9. , 5. ],\n", " [ 0. , 1.75 , 2.25 , 4.25 ],\n", " [ 0. , 0. , -0.28571429, 0.57142857],\n", " [ 0. , 0. , 0. , -2. ]])" ] }, "execution_count": 107, "metadata": {}, "output_type": "execute_result" } ], "source": [ "U" ] }, { "cell_type": "code", "execution_count": 114, "metadata": { "hidden": true }, "outputs": [ { "data": { "text/plain": [ "array([[ 0., 0., 1., 0.],\n", " [ 0., 0., 0., 1.],\n", " [ 1., 0., 0., 0.],\n", " [ 0., 1., 0., 0.]])" ] }, "execution_count": 114, "metadata": {}, "output_type": "execute_result" } ], "source": [ "P" ] }, { "cell_type": "markdown", "metadata": { "hidden": true }, "source": [ "**Partial pivoting** permutes the rows. It is such a universal practice, that this is usually what is meant by *LU factorization*.\n", "\n", "**Complete pivoting** permutes the rows and columns. Complete pivoting is significantly time-consuming and rarely used in practice." ] }, { "cell_type": "markdown", "metadata": { "heading_collapsed": true, "hidden": true }, "source": [ "#### Example" ] }, { "cell_type": "markdown", "metadata": { "hidden": true }, "source": [ "Consider the system of equations:\n", "\n", "$$ \\begin{bmatrix} 1 & 0 & 0 & 0 & 0 & 1 \\\\ -1 & 1 & 0 & 0 & 0 & 1 \\\\ -1 & -1 & 1 & 0 & 0 & 1 \\\\ -1 & -1 & -1 & 1 & 0 & 1 \\\\ -1 & -1 & -1 & -1 & 1 & 1 \\\\ -1 & -1 & -1 & -1 & -1 & 1 \\end{bmatrix} \\mathbf{x} = \\begin{bmatrix} 1 \\\\ 1 \\\\ 1 \\\\ 1 \\\\ 2 \\\\ 1 \\end{bmatrix} $$" ] }, { "cell_type": "code", "execution_count": 99, "metadata": { "collapsed": true, "hidden": true }, "outputs": [], "source": [ "def make_matrix(n):\n", " A = np.eye(n)\n", " for i in range(n):\n", " A[i,-1] = 1\n", " for j in range(i):\n", " A[i,j] = -1\n", " return A " ] }, { "cell_type": "code", "execution_count": 117, "metadata": { "collapsed": true, "hidden": true }, "outputs": [], "source": [ "def make_vector(n):\n", " b = np.ones(n)\n", " b[-2] = 2\n", " return b" ] }, { "cell_type": "code", "execution_count": 101, "metadata": { "hidden": true }, "outputs": [ { "data": { "text/plain": [ "array([ 1., 1., 1., 1., 1., 2., 1.])" ] }, "execution_count": 101, "metadata": {}, "output_type": "execute_result" } ], "source": [ "make_vector(7)" ] }, { "cell_type": "markdown", "metadata": { "hidden": true }, "source": [ "#### Exercise" ] }, { "cell_type": "markdown", "metadata": { "hidden": true }, "source": [ "Exercise: Let's use Gaussian Elimination on the $5 \\times 5$ system." ] }, { "cell_type": "markdown", "metadata": { "hidden": true }, "source": [ "Scipy has this funtionality as well. Let's look at the solution for the last 5 equations with $n=10,\\,20,\\,30,\\,40,\\,50,\\,60$." ] }, { "cell_type": "code", "execution_count": 131, "metadata": { "collapsed": true, "hidden": true }, "outputs": [], "source": [ "?scipy.linalg.solve" ] }, { "cell_type": "code", "execution_count": 112, "metadata": { "hidden": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[-0.00195312 -0.00390625 -0.0078125 -0.015625 -0.03125 -0.0625 -0.125\n", " -0.25 0.5 1.00195312]\n", "[ -1.90734863e-06 -3.81469727e-06 -7.62939453e-06 -1.52587891e-05\n", " -3.05175781e-05 -6.10351562e-05 -1.22070312e-04 -2.44140625e-04\n", " -4.88281250e-04 -9.76562500e-04 -1.95312500e-03 -3.90625000e-03\n", " -7.81250000e-03 -1.56250000e-02 -3.12500000e-02 -6.25000000e-02\n", " -1.25000000e-01 -2.50000000e-01 5.00000000e-01 1.00000191e+00]\n", "[ -1.86264515e-09 -3.72529030e-09 -7.45058060e-09 -1.49011612e-08\n", " -2.98023224e-08 -5.96046448e-08 -1.19209290e-07 -2.38418579e-07\n", " -4.76837158e-07 -9.53674316e-07 -1.90734863e-06 -3.81469727e-06\n", " -7.62939453e-06 -1.52587891e-05 -3.05175781e-05 -6.10351562e-05\n", " -1.22070312e-04 -2.44140625e-04 -4.88281250e-04 -9.76562500e-04\n", " -1.95312500e-03 -3.90625000e-03 -7.81250000e-03 -1.56250000e-02\n", " -3.12500000e-02 -6.25000000e-02 -1.25000000e-01 -2.50000000e-01\n", " 5.00000000e-01 1.00000000e+00]\n", "[ -1.81898940e-12 -3.63797881e-12 -7.27595761e-12 -1.45519152e-11\n", " -2.91038305e-11 -5.82076609e-11 -1.16415322e-10 -2.32830644e-10\n", " -4.65661287e-10 -9.31322575e-10 -1.86264515e-09 -3.72529030e-09\n", " -7.45058060e-09 -1.49011612e-08 -2.98023224e-08 -5.96046448e-08\n", " -1.19209290e-07 -2.38418579e-07 -4.76837158e-07 -9.53674316e-07\n", " -1.90734863e-06 -3.81469727e-06 -7.62939453e-06 -1.52587891e-05\n", " -3.05175781e-05 -6.10351562e-05 -1.22070312e-04 -2.44140625e-04\n", " -4.88281250e-04 -9.76562500e-04 -1.95312500e-03 -3.90625000e-03\n", " -7.81250000e-03 -1.56250000e-02 -3.12500000e-02 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "for n, ls in zip(range(10, 70, 10), ['--', ':', '-', '-.', '--', ':']):\n", " soln = scipy.linalg.lu_solve(scipy.linalg.lu_factor(make_matrix(n)), make_vector(n))\n", " plt.plot(soln[-5:], ls)\n", " print(soln)" ] }, { "cell_type": "markdown", "metadata": { "hidden": true }, "source": [ "What is going on when $n=60$?" ] }, { "cell_type": "markdown", "metadata": { "hidden": true }, "source": [ "**Theorem**: Let the factorization $PA = LU$ of a matrix A be computed by Gaussian Elimination with partial pivoting. The *computed* (by a computer with Floating Point Arithmetic) matrices $\\hat{P}$, $\\hat{L}$, and $\\hat{U}$ satisfy\n", "\n", "$$\\hat{L}\\hat{U} = \\hat{P} A + \\delta A, \\quad \\frac{\\delta A}{A} = \\mathcal{O}(\\rho \\varepsilon_{machine}) $$\n", "\n", "where $\\rho$ is the *growth factor*, \n", "\n", "$$\\rho = \\frac{max_{i,j} \\lvert u_{ij} \\rvert }{max_{i,j} \\lvert a_{ij} \\rvert } $$" ] }, { "cell_type": "markdown", "metadata": { "hidden": true }, "source": [ "For our matrix above, $\\rho = 2^{m-1}$" ] }, { "cell_type": "markdown", "metadata": { "hidden": true }, "source": [ "#### Unstable in theory, stable in practice" ] }, { "cell_type": "markdown", "metadata": { "hidden": true }, "source": [ "Stability of most algorithms (such as QR) is straightforward. Not the case for Gaussian Elimination with partial pivoting. Instability in Gaussian elimination (with or without pivoting) arises only if L and/or U is large relative to the size of A.\n", "\n", "Trefethen: \"Despite examples like (22.4), Gaussian elimination with partial pivoting is utterly stable in practice... In fifty years of computing, no matrix problems that excite an explosive instability are known to have arisen under natural circumstances.\" [although can easily be constructed as contrived examples]\n", "\n", "Although some matrices cause instability, but extraordinarily small proportion of all matrices so \"never\" arise in practice for statistical reasons. \"If you pick a billion matrices at random, you will almost certainly not find one for which Gaussian elimination is unstable.\"" ] }, { "cell_type": "markdown", "metadata": { "hidden": true }, "source": [ "### Further Reading\n", "- Gaussian Elimination/LU factorization-- Trefethn Lecture 20\n", "- Pivoting -- Trefethn Lecture 21\n", "- Stability of Gaussian Elimination -- Trefethn Lecture 22" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Follow up from last class" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### What is going on with Randomized Projections?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We are taking a linear combination (with random weights) of the columns in the matrix below:" ] }, { "cell_type": "code", "execution_count": 33, "metadata": { "scrolled": true }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 33, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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4ikxBiqIgFAoZ7swbCbOyREyM/d5pOCn0mtXBSRBHQADo6uqqEagJeEIxC55W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hW4CG0ZHByE0+kEAHoiaWlpKXJzcxNoACski4RJth3C4TD6+voQDAbR09ODD33oQwnvsc+yY0NU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\n/VUtIzf/VMtetSMOUpj08oM9Fz/LwhLRTbPob1BtvdFopnSr9JdhhsUj9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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(12, 12))\n", "plt.imshow(M, cmap='gray')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It's like a random weighted average. If you take several of these, you end up with columns that are orthonormal to each other." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Johnson-Lindenstrauss Lemma**: ([from wikipedia](https://en.wikipedia.org/wiki/Johnson%E2%80%93Lindenstrauss_lemma)) a small set of points in a high-dimensional space can be embedded into a space of much lower dimension in such a way that distances between the points are nearly preserved.\n", "\n", "It is desirable to be able to reduce dimensionality of data in a way that preserves relevant structure. The Johnson–Lindenstrauss lemma is a classic result of this type." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### History of Gaussian Elimination" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "[Fascinating history of Gaussian Elimination](https://jvns.ca/blog/2017/04/16/making-small-culture-changes/). Some highlights:\n", "\n", "- First written record of Gaussian elimination from ~200 BC in the Chinese book *Nine Chapters on Arithmetic*\n", "- The ancient Chinese used colored bamboo rods placed in columns on a \"counting board\"\n", "- Japanese mathematicican Seki Kowa (16432-1708) carried forward the Chinese elimintion methods and invented the determinant before 1683. Around the same time, Leibniz made similar discoveries independently, but neither Kowa nor Leibniz go credit for their discoveries.\n", "- Gauss referred to the elimination method as being \"commonly known\" and never claimed to have invented it, although he may have invented the Cholesky decomposition\n", "\n", "[More history here](http://www.sciencedirect.com/science/article/pii/S0315086010000376)" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "### Speeding Up Gaussian Elimination" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "[Parallelized LU Decomposition](https://courses.engr.illinois.edu/cs554/fa2013/notes/06_lu_8up.pdf) LU decomposition can be fully parallelized\n", "\n", "[Randomized LU Decomposition](http://www.sciencedirect.com/science/article/pii/S1063520316300069) (2016 article): The randomized LU is fully implemented to run on a standard GPU card without any GPU–CPU data transfer." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Scipy.linalg solve vs lu_solve" ] }, { "cell_type": "code", "execution_count": 142, "metadata": { "collapsed": true }, "outputs": [], "source": [ "n = 100\n", "A = make_matrix(n)\n", "b = make_vector(n)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This problem has a large *growth factor* $= 2^{59}$. We get the wrong answer using scipy.linalg.lu_solve, but the right answer with scipy.linalg.solve. What is scipy.linalg.solve doing?" ] }, { "cell_type": "code", "execution_count": 143, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[ 0. 0. 0. 0. 1.]\n", "[-0.0625 -0.125 -0.25 0.5 1. ]\n" ] } ], "source": [ "print(scipy.linalg.lu_solve(scipy.linalg.lu_factor(A), b)[-5:])\n", "print(scipy.linalg.solve(A, b)[-5:])" ] }, { "cell_type": "code", "execution_count": 136, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "91.2 µs ± 192 ns per loop (mean ± std. dev. of 7 runs, 10000 loops each)\n" ] } ], "source": [ "%%timeit\n", "soln = scipy.linalg.lu_solve(scipy.linalg.lu_factor(A), b)\n", "soln[-5:]" ] }, { "cell_type": "code", "execution_count": 137, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "153 µs ± 5 µs per loop (mean ± std. dev. of 7 runs, 1000 loops each)\n" ] } ], "source": [ "%%timeit\n", "soln = scipy.linalg.solve(A, b)\n", "soln[-5:]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Looking at the [source code for scipy](https://github.com/scipy/scipy/blob/v0.19.0/scipy/linalg/basic.py#L25-L224), we see that it is calling the LAPACK routine `gesvx`. Here is the [Fortran source code for sgesvx](http://www.netlib.org/lapack/explore-html/d0/db8/group__real_g_esolve_ga982d53a8a62d66af9bcaa50642c95ea4.html#ga982d53a8a62d66af9bcaa50642c95ea4) (`s` refers to single, there is also `dgesvx` for doubles and `cgesvx` for complex numbers). In the comments, we see that it is computing a *reciprocal pivot growth factor*, so it is taking into account this growth factor and doing something more complex than plain partial pivot LU factorization." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Block Matrices" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This is a follow-up to a question about block matrices asked in a previous class. But first," ] }, { "cell_type": "markdown", "metadata": { "heading_collapsed": true }, "source": [ "### Ordinary Matrix Multiplication" ] }, { "cell_type": "markdown", "metadata": { "hidden": true }, "source": [ "**Question**: What is the computational complexity (big $\\mathcal{O}$) of matrix multiplication for multiplying two $n \\times n$ matrices $A \\times B = C$?\n", "\n", "You can learn (or refresh) about big $\\mathcal{O}$ on [Codecademy](https://www.codecademy.com/courses/big-o/0/1)" ] }, { "cell_type": "markdown", "metadata": { "hidden": true }, "source": [ "What this looks like:\n", "\n", " for i=1 to n\n", " {read row i of A into fast memory}\n", " for j=1 to n\n", " {read col j of B into fast memory}\n", " for k=1 to n\n", " C[i,j] = C[i,j] + A[i,k] x B[k,j]\n", " {write C[i,j] back to slow memory}\n", " \n", "**Question**: How many reads and writes are made?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Block Matrix Multiplication" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Divide $A,\\, B,\\, C$ into $N\\times N$ blocks of size $\\frac{n}{N} \\times \\frac{n}{N}$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ " \"Block\n", " ([Source](http://avishek.net/blog/?p=804))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "What this looks like:\n", "\n", " for i=1 to N\n", " for j=1 to N\n", " for k=1 to N\n", " {read block (i,k) of A}\n", " {read block (k,j) of B}\n", " block (i,j) of C += block of A times block of B\n", " {write block (i,j) of C back to slow memory}\n", " \n", "**Question 1**: What is the big-$\\mathcal{O}$ of this?\n", "\n", "**Question 2**: How many reads and writes are made?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# End" ] } ], "metadata": { "anaconda-cloud": {}, "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": "3.6.1" } }, "nbformat": 4, "nbformat_minor": 2 }