{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# The beauty of computational efficiency and the FFT\n", "\n", "When we discuss \"computational efficiency\", you often hear people throw around phrases like $O(n^2)$ or $O(nlogn)$. We talk about them in the abstract, and it can be hard to appreciate what these distinctions mean and how important they are. So let's take a quick look at what computational efficiency looks like in the context of a very famous algorithm: The Fourier Transform.\n", "\n", "## A short primer on the Fourier Transform\n", "Briefly, A Fourier Transform is used for uncovering the spectral information that is present in a signal. AKA, it tells us about oscillatory components in the signal, and has [a wide range](http://dsp.stackexchange.com/questions/69/why-is-the-fourier-transform-so-important) of uses in communications, signal processing, and even neuroscience analysis.\n", "\n", "Here's a [Quora post](https://www.quora.com/What-is-an-intuitive-way-of-explaining-how-the-Fourier-transform-works) that discusses Fourier Transforms more generally. The first explanation is fantastic and full of history and detail.\n", "\n", "The challenge with the Fourier Transform is that it can take a really long time to compute. If you h ave a signal of length $n$, then you're calculating $n$ Fourier components for each point in the (length $n$) signal. This means that the number of operations required to calculate a fourier transform is $n * n$ or $O(n^2)$.\n", "\n", "For a quick intuition into what a difference this makes. Consider two signals, one of length 10, and the other of length 100. Since the Fourier Transform is $O(n^2)$, the length 100 signal will take *2 orders of magnitude* longer to compute, even though it is only *1 order of magnitude longer in length*.\n", "\n", "Think this isn't a big deal? Let's see what happens when the signal gets longer. First off, a very short signal:" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [], "source": [ "# We can use the `time` and the `numpy` module to time how long it takes to do an FFT\n", "from time import time\n", "import numpy as np\n", "import seaborn as sns\n", "sns.set_style('white')\n", "\n", "# For a signal of length ~1000. Say, 100ms of a 10KHz audio sample.\n", "signal = np.random.randn(1009)\n", "start = time()\n", "_ = np.fft.fft(signal)\n", "stop = time()\n", "print('It takes {} seconds to do the FFT'.format(stop-start))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "That's not too bad - ~.003 seconds is pretty fast. But here's where the $O(n^2)$ thing really gets us..." ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true, "jupyter": { "outputs_hidden": true } }, "outputs": [], "source": [ "# We'll test out how long the FFT takes for a few lengths\n", "test_primes = [11, 101, 1009, 10009, 100019]" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [], "source": [ "# Let's try a few slightly longer signals\n", "for i_length in test_primes:\n", " # Calculate the number of factors for this length (we'll see why later)\n", " factors = [ii for ii in range(1, 1000) if i_length % ii == 0]\n", " # Generate a random signal w/ this length\n", " signal = np.random.randn(i_length)\n", " # Now time the FFT\n", " start = time()\n", " _ = np.fft.fft(signal)\n", " stop = time()\n", " print('With data of length {} ({} factors), it takes {} seconds to do the FFT'.format(\n", " i_length, len(factors), stop-start))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Whoah wait a sec, that last one took way longer than everything else. We increased the length of the data by a factor of 10, but the time it took went up by a factor of 100. Not good. That means that if we want to perform an FFT on a signal that was 10 times longer, it'd take us about 42 minutes. 100 times longer? That'd take *~3 days.*\n", "\n", "Given how important the Fourier Transform is, it'd be great if we could speed it up somehow. \n", "\n", "> *You'll notice that I chose a very particular set of numbers above. Specifically, I chose numbers that were primes (or nearly primes) meaning that they couldn't be broken down into products of smaller numbers. That turns out to be really important in allowing the FFT to do its magic. When your signal length is a prime number, then you don't gain any speedup from the FFT, as I'll show below.*\n", "\n", "## Enter the Fast Fourier Transform\n", "The Fast Fourier Transform (FFT) is one of the most important algorithms to come out of the last century because it drastically speeds up the performance of the Fourier Transform. It accomplishes this by breaking down all those $n^2$ computations into a smaller number of computations, and then putting them together at the end to get the same result. This is called **factorizing**.\n", "\n", "You can think of factorizing like trying to move a bunch of groceries from your car to your fridge. Say you have 20 items in your car. One way to do this is to individually take each item, pull it from the car, walk to the house, place it in the fridge. It'd take you 20 trips to do this. Factorizing is like putting your 20 items into 2 grocery bags. Now you only need to make 2 trips to the house - one for each grocery bag. The first approach requires 20 trips to the house, and the second requires 2 trips. You've just reduced the number of trips by an order of magnitude!\n", "\n", "The FFT accomplishes its factorization by recognizing that signals of a certain length can be broken down (factorized) into smaller signals. How many smaller signals? Well, that depends on the length of the original signal. If a number has many *factors*, it means that it can be broken down into a product of many different, smaller, signals.\n", "\n", "In practice, this means that if the input to an FFT has a lot of factors, then you gain a bigger speedup from the FFT algorithm. On one end, a signal with a length == a power of two will have a ton of factors, and yield the greatest speedups. A signal with length == a prime number will be the slowest because it has no factors. Below is a quick simulation to see how much of a difference this makes.\n", "\n", "> Here are some useful links explaining Fourier Transforms, as well as the FFT:\n", "> * [A Quora post](https://www.quora.com/What-is-an-intuitive-explanation-of-the-FFT-algorithm) with some great answers on the intuition behind the Fast Fourier Transform.\n", "> * [The wikipedia entry](https://en.wikipedia.org/wiki/Fast_Fourier_transform) for FFTs also has some nice links.\n", "> * [A post on the FFT](https://jakevdp.github.io/blog/2013/08/28/understanding-the-fft/) from Jake Vanderplas is also a great explanation of how it works." ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [], "source": [ "import pandas as pd\n", "from sklearn import linear_model\n", "from matplotlib import pyplot as plt\n", "%matplotlib inline" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## The beautiful efficiency of the FFT\n", "To see what the FFT's efficiency looks like, we'll simulate data of different lengths and see how long it takes to compute the FFT at each length. We'll create a random vector of gaussian noise ranging from length 1 to 10,000. For each vector, we'll compute the FFT, and time how long it took to compute. I've already taken the liberty of doing this (repeated 3 times, and then averaged together). Those times are stored in fft_times.csv." ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [], "source": [ "# Let's read in the data and see how it looks\n", "df = pd.read_csv('../data/fft_times.csv', index_col=0)\n", "df = df.apply(pd.to_numeric)\n", "df = df.mean(0).to_frame('time')\n", "df.index = df.index.astype(int)\n", "df['length'] = df.index.values" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": {}, "execution_count": 27, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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}, "metadata": {}, "output_type": "display_data" } ], "source": [ "# First off, it's clear that computation time grows nonlinearly with signal length\n", "df.plot('length', 'time', figsize=(10, 5))" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": {}, "execution_count": 28, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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1QnPKJZqyL1ueY6kYtUD5EcC2PgUErtJuKrbPeDLBcuU53GEpbmVtZGjzSVsY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\nWs2kGLPPufOkFcktUKvvU867c//T+D9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mUEVFc8xY1LRA4tCcWGyZvMlFsz5HxqgtyirQ\nFWGEyFzGouYE+FfBdRZKVupYi5oUOyYhYHOrdKxSKTFqsjyHDPyW+1uUFWbTSVdOoRNq1mcYEnly\nrZjr03zndu20C95aWZ9KMsGGEGqbW6XTLSCljpr2UdhJCgZdqGXBvqLudV3hMbF9jDDCDKrr047v\nmk2VGLW6L83xvEt3CWtiNuj6NEzbUh5mV+b1VrX2x1Qr+qZ9HTX39fZ7k6+hY6COGgveEkKeVVxz\nywN47Vuu7X5hb3UWsbqzqHVBwl3wfzjrc9OaP0RZhq1SoYr9tlCTVqgU65iTlRisoza895QuDSFS\nOxPIjMWh653ZmOOvP3O/kwAirWbGKrY5L8W58H7Ney6TCcz3olRej9l/I9SaGlurxKjFiuEa+jpq\nMkat7kSBWWdDWL6MUOv6WEase7Fj2r60WK0xWZ92UsDEqldmzgO2ULMsapZgmU4zL0atRo2jbVeC\n512604nPm0yUpIGs34PzWtp2UP3vCfffmE0n+rKA69PEqMF/DQa7FIjzetpjWba6+5NCjRBy3vDo\nkyexNS/x9NEzANxkgLJqArEr66YHBASREGpj+mXGhF9MqPl11JYpzxG2DsYwVjf7/UnFvqbWL7Mf\nN86i9v7r7sE7/+ouvPuvv+atDzSCyljUNrZKxIL1bUKuTzMlVJi2sag1sU4mDsxerxlvryfFkf5Y\nGws05Tmk67MRu8Ckdft1rs/W8rWjtTJtzhdNAH1n5XLFiR6j5h1SCdUUnHaV/yMWNbhZjI14sgSs\nc7y1qIljgG9RM90ijAt4z661vm5aDWSIxKiFXJ/the3Pd0tkfvZN2QPJBMZKW5l9Bspz+FN7S6Ja\n+GMcFGqEkPOGeelaOcwv1vmiwrwNIp+LG6zmYpwL12dS1mdCeQ65jv1c7iMmIOW6QLg8xxjXJ7BE\n3JhjgTI/3TWyTLeoxa715OFGbN/3yDFrfetapWVRk0ItIgB7i5p7+9LaaLnlORrXp7nZbg10Jmjc\ndvr76lnblP3usjoT9KVkGqupabYukwkufc5OAI1w1avxT5x5NkNtowya8J9Msm7tmJXUFplAY13T\nxK3JjrSbsjvJBJMMM2sd40I1jel37pg64+0Yum6OqKNmr22LJ/uPKa8frxFqrUvcf73CoqYoJjse\nznBmY46f/Q9/0+19VZMahRoh5LxBBnhvCYta87i1fEVi1KRFLcX1mdSUPZb1KWusafFmkRt8sDPB\niPIccs0U1PIcYp9NpuQ4i5ppvH1m03J9WsOruu56PnquzwSLWsj1GRJX87J2bsimpZD93kWtaJV+\nXHu+Y22K6aSNlapr67vViPHeWuT+QbJ3z1q3nlOSoqsR5s6zSf3YQ8kERjwO1VGzBdMkyxyRooky\ns1W7tEVjUXPXqer+D6uda1Mn2SDLfGuWrKPWrdVax2SIBOC3keo6E7RtpyRVXePuB47g9z94p3ot\nszf5jj148AQOtRnqWaY5VcdBoUYIOSu87+Nfxydve3jUHOmOMin1dv9Dc9OaxyxgwiI3zqKmCCzF\nTQbEe33GskflPpu19GSCMeU5UsfbqJ0JxN53zCZNL9IRMWq7dzVCzY6/kp0JTO2uLZFMIC0UNkNC\nzX4L7XUWiwprtkVt7ieayNfnFKdNzPoEmmK3QN8Hsq+OX7cB+a1lrL20EfzP2b2jWyNzSlLYZSTi\nMWpSb2yIhAL79RrdkdnB+pF/K83e++eTSWO5qqoaDx480X2fbUGplbaYzdysz8aiZiVi7JgJi1qm\nCrLmNWhCre8W4GaKu67PrtfnNNyZ4MbbH7FEV8D1GRHu80XFGDVCyPnJX954Hz6u1HGKITPxzM3U\nLghqZ9DZz511Ii7KEL17Myyw5A3aHuvVUVPrsUmh45YbCbldh9xaWneBEAceO+7E6qTUUdu1c4Z5\n6Qu1NIuaVSPMuVbV17ubL1wRF7OoGdenzPqs/WvY65RVhdmsv+FrIt7L9AysFcv6BPr4uayNveqt\nv03R4N712Rw378OeVtw2czMnTguwhRo8zJ6kcDl5eu48t2PUjGBsXIvDrs8arutzMmkshl+6+0n8\nq/90Iz5/10Fnn6j1GLXpJHOydk3ShbGA79wxdSx3GXzXp3nuZX06fTtr5/XKZALzz89uym5TVv2e\ngECMGvzP3y63ct+jx1eOU6NQI4RsO1XVZLppGWYx+rgz1yK2aQk16R5NigUb4T4MZTza1+z30u8r\nrY5a2CK1KPVkAmDYrWXHscXcho8+dRL/5sqbcPVN91lzfTEi97lrxxR1DeemJedKjJByRKHI7LQL\nE8caotuYz8Kro2biiQLrLBZV2yqoea7V2PMzPfvHIeuaHAf01r6sdX3a8Y+l5vpsv0eX7F7r1rA7\nExhMwL/6GQsxZzh5Zst5bn+HzfpOFwTxYp44fBq/+Ds34N6Hj3rlOaaTxmV5uC1UawpSuxa19lrC\n9em6UJufpkzJLhmjNlEsapnZu5ZM0AtaO2PWz/rsLZWalKrr2vvOSzTXp23F3JqXK7s+Z0MD8jzP\nALwdwIsBbAD4uaIoDljnfwLAWwDMAbynKIp3hebkef5CAO8FUAG4qyiKN1jrvADAZwH8N0VRuN8s\nQsgFRd+2Jf5LTiItapttTIn9i693jxpRoWVpCstXQkC+GaM3U0/I+oz0AZXr9M/dm0hIZJVlhelk\nqp6T+4qJUlP+wO7wIAP8tX12sWTCjZYSS+aMF6LQvH9VrVv2NLrm6kHXp77Ooqoxm/U9HU280qJ1\nRxpR5awpkgu6dT1Xl3QV20JNCPJFiel0p7Nm7/rshdpEcffFLWrtmGkGWB/TidObzjj7O2tKbWRZ\nZsWouZ/be6/5Oh558iSu/PM7nD6eZo+wxIzpyjCxLWpaMoHoTGDe+8152RQlnk08i5rv4nTfE3tP\nWX/5qEXNrsmmWcuqyv1DQ7ds+0ptfaP/ALIMqM9BMsFrAOwsiuIHAbwJwJXmRJ7ns/b5KwH8CICf\nbwVXaM6VAN5cFMUrAEzyPH91u84/BvAJAN+40qshhJwXmF+IWtuWGF6Mmur6dK1bUpjYFoxuzmI1\ni1ow6zPSQmqsRW2+KNW4ttCeDFVVCxERHmvez1NneneYljEqde3OHc3f9LLSfbyDgH/OEWNl5Qh5\nu+hrzNW7aOfIrM/e9alfb7GoMLNuyPYNeNEJVGkp00Wf1jbJZq3dW1+ew3WvSoua+R5Ji5onQkRZ\nD20PE5GaeOJ0zKJm9pl1rk/5HTSiY8+uGerKL89hJwEYl5+b9dmPNaxNJ118YvNam3U2tkrs2jH1\nYtKagryBZAIhgqZTq9SG+F2w5cWoWSJSy/qsa1eo+UMwmfifhym38sof+Hb84S//9+ckRu1lAK4D\ngKIovgDg+61zLwKwvyiKE0VRzAHcDOAVypyXtONfUhTFze3ja9EIPAAoAfwjAEeWfymEkPOFzqI2\nHyfUZBFSWfcIgNWMvb3JRaxU3ZykEhdhi1ow6zPSQiqlM4G0qIUEWUyopbhcDcaKdGq9v3k7cVjm\ndcoYta7eWXMDMjee2L60RAtZ4sJ+/2xBEROb8wHXp1aY1jRGn80mnSXGdml1jeGF+9B1fTY/s8zN\nAJXjANeiVgn3G9DXR5Mxaq5Q8608KckEck5UqJmxlutT7tUULN69c9bGqLlCDej/kDrdju3qqAX2\nNfWEWjN6c2vR/VHgWNSUrM9gHbWsd31WtUwm0H9X2C5xoO96UVW1kykasqjJw0awvvzvfQu+/YpL\nz0nW56UAjlvPF3meTwLnTgG4DMBecbzM83wKV7OebMeiKIpPFUVxFKqmJYQ806TWaDKYX4hLuz5F\neQ0bI4DmAYua1i4qqdenVZTUOxewqMVcn3rsnLSoyWQCfZ+x/XuN0lMsauvhbgFAn+Vq2NXePM0N\neW068eZK7PfR3MBDMWoAcNKy8n25eBpfaAPTvXUHOhPUyusxe5lNbNenn6DS3biFkAL693U6mfjJ\nBOJ96C1qbXkO8blLF2YXo2YlEzQFbwNCTfk6OK5Pi5NSqDmuz94q1Re8dRfvi9DO1PIcQC/g14Xr\ns67rYMFbe59Z1nwfNrfKToC7rs9wjJrvHp5YSkIkE4g/HG2Lmh2lNrNiATedxBt4GJFpYzKd97QJ\nNefConYCjfDq5hRFUVnnLrXO7QVwNDCnRBObZo89BpdxdwNCyLZQVTXe9oHbces+/+Z49wNH8M9/\n9Trsf+Ro8nqyvMbYeb3rU4k/6yxqJm5s2OWYUt2/70zgu7VCrZVc16c4F7HMac9jFrWYIIr1D33w\n4Anc8KVHrGv4rk+tfpkUIjuFRc3EF6XGqBmxIPuKhpJN9t1/CH941Vei6/pCzbyG/pjsYjGb2eU5\nrBt4e94Is+5Grbw302k22JzeJFJkk9YVL76jM5EUoFrUlLgpI0rObC7wS793E266vf9su2KzQrg8\nfui083xu/VuwkwlmgaxPk7W7a+cMVe23ggJ6YWJi1GwhqlnUdu+cdWK/uX4GoO5cn/bezP7sllr2\neS12zRyra9FCqpSueyuZwFpmNrUtavEYtYlSnmPdes/aV+DNG0OKULsFwI8BQJ7nLwWwzzp3N4Dv\nyvP88jzPdwB4OYBbAXwuMOeOPM9/uH38KjSuUhta1Ah5Bjh8fAM33fEobrR+8RsOPH4cJ05v4aGD\nJ5LX6y1q1Shr3FyIMNX1KTsTJATxj6qjFukeIM+5NbiGBaNXh6ysuzIWW/NyW1yf9jX+4vp78Ht/\ncUdnQTPJGadti5pWnkO8XZ3rs70hG9dQ3PVpuTXbzENzqdl0gmogK1g2Kjd0Qs0rz+GLzC6L1Qg1\nK35py3F9mtfdW83s/QK91Ww68ZMOhlyf8nsj1w+6PgPJBI8/fQr3P3ocd+5/ut+fcNsCjYXu3ofd\nP7DUrE/0FjX5HTXiqyproK4xsSxhRhCZmKz1trhxL5T0GLU9u2ad1bK5Prqs4p0BoSaP9eU5nO06\nFjXpXg8VvA0JtdITalAJlecw/25WVTaDWZ8Argbwo3me39I+f12e568FcEmb4flGANe3W3l3URQH\n8zz35rQ/fxnAO/M8X0Mj8q4S16JFjZBnAPOXpl0G49GnTuJrBw47oisVp7VSWWFtFs5Y1ObNo0LN\ndWfJm6BqyRrh+jR1y4yLzMnYi2V9JsWo+SJwbTbBfDFpqvMvkUygrWkwN9n1jQWes3utez9Pb8xR\nVXXX99LQdSbwsj6N67NZL8316cefmfXXZo1VKtR3EjBFjvvPoVs34Pq0y3O0yYjdMfN9mk4n3c1+\nU3N9CvehG+/WnptknpA1LkHz3jvJBFXt/TEhOwx0ddR22lmfvRWpj51r1jXC206y6S1qvXL57m97\nLu7c/zROntnC3j07UFZuG7CpZVGTxXUNRnRszssmEcLr9dn/3pBZn7ZFbSqE2sxxfWZYtMLdfNfs\n67iJA3W3Z/ucvSfL8+nFqH305gOYTDL80x/6zr6F1CSDraaMxbiuh2PUYuU5dneuz9WU2qBQK4qi\nBvB6cfhe6/w1AK5JmIOiKPajyQ4NXetvD+2HELK9HDq23t0o7EKNf3njffib2x7GP/2h7wQwzo1p\nC5itebpQ68tz1N3c0Jje9elbqSRprk/bOlarMTueKHT6CMp9+Huv2hvl0ZMbeP5luzuxtHPHFJtb\nZbDQa0xoxorQmvfK3DhMLFRdNy6t5+xeg720tCwZ+vIczfzZbFioOfFnwvU5m06wuVVGYxir1m21\nNnNvcl15jtmkE2TNa6o7C85sOmn6aookENvdZv8R0JcJafenBO3bMWqyplpdN+LOfBc9i5p4n4zF\nxljp5osSa7NJZ00yc4EmM9PEDBprlrGI2n9YmUvYFqbv+VuNUNv/yDH8/fwbFMteL9S6zgQyE7l9\nbr5DejJBc04Xaub19Nfds3PNSyYwpV+MAJ94yQZu6ZFQjJrpTAD45Tk2thZ438fvBgBHqE0CFrWq\ncmPUtH+eWmcCE6vXCTV/2ihY8JaQZxnzRYWHnkhzU+677xBe99br8ek7HgXg1iszv3SNNUSzbsX2\nYJAp8TG6+LPKxLgNuz5T6pcldSZwugz47sBmHWFRc7I+pWXP/61eVjU+9tkD+Jlfvx6PP32q6/u4\nc23a9rsMJBPELGpegkL/vCsY3P60he+pM0Y8WQI1GKMmLGoJrk/7BmmKrpaWUJNuKQ1NyHWJAdM+\nMWA2zdpabOieA/2NtWvBFHJ9Wta4Zpy5UffXtV14qqXNshDJZIKQQLJdnzuEUDP6Q3P3nVKEmlav\n7Hu+7XIAwP7W/Smt4n2MWuaIE8Oxk30ignF7O0KtSyYwFjXh+kStdkxoLGpujJop/dLFqAUtau7e\np8JaZbsxTeFtw/5H3LB4829nOpk4YmrNisEMdfHo9+Zb2ja2Skys7gtsIUUIcfjYZw/gf//dG/Fw\nglh7+tgZAH3Asd2X0Ygkk7EXc1NJYkUmY5gbd99ayL9Rl23z8krchLtrq67PYYua7ap0Xbe2aAtb\n1Pz4Mz2Z4MmjzXv+9LF1lFXVCbWteRnc57IxarKzg33TMTd7LevT3sckA3a2wqOLUZs2N9N4GQ1b\nqDXX6oL1Z8MxaoD++RvxtmYlBkxb4ecJLVOnrItRs12f1mdsLGqdkNQtallmkgn6/Wgux96iZur6\nue+T6YNquz7XZlNRcqR9bYowMiLb/sOqd832+3jhtzZC7YE2vlT+27AD8rXOBEdPbnSPzbWmmkVt\n01hse0Fs78kea16/zPo0300jVmXBW7lGsDyHlcFpvl8mnvFrBw534+raEpGTDJnISjXz7fdDtajB\nd32uby6we+dsZZengUKNkGcZR040v1wPH98YGNlbWM60N+110frEPjfK9RmpXRTD3DBlwVtnTFm5\n7shIjJa2nxBl6QsWub5nUYt1JlD2UZaVI5qadkKT3vUZSiaIleeI1JEzn5km1E634snpYWmSCaxj\nk0nWdQGQFrVojJr13hiXutlqY1Frvn+xe5ma9WtZ1My9dTrJUFvxVzJr053TnLOttTJGTSssW1VN\nvJzsYNBb8WyhZiwpraVPfEamA0FfnqPCbDZxhJrRW7KiP9D/8aTFqNmZnJde0jR5N/+GpVDrxJDl\n+rTHHDvVdzVYb6/lWLUyV6jJ45UQQ4Y9u9bcrE9rrolRkwVv5bFweY7eonaw/QN0z67m/bZrym1a\nfxjJFlLmvbDfXyAUo6Znfe523NjetFFQqBHyLKOPSxp2OZqblXFz2r9wzU3y9IYb3zRmD806afNs\nN4X5BarNnZdutXGvjpoiDJOSCQKCLJ71Gev1qVvUetHU/LU+sVyfcg0tbkhbM/S87+yw6K5pONXV\nNuvn9skEtkUt64THuohRS836NC6xLgasvUkvygqX7FrzJ4v92xgBuDbrrWNNbTN//U6oLXqLmrnp\nz5VkAq88h4hFm2R9goB9HBCV99dc991cfEf37tnhrL9oY9TsBAnN3de5Ps+YLF7fLWfGzKaTrhXT\nmc0F7nnoCL5c9Fmi9p7tzgSORe2EZVHbdIsd2/Pl7xq7hZQxN8nyHFOvPEeDWkfNEuTa3p1rZ71Q\n+3d/eHN3PcnGZtn9m7fj2szzySTzBOjzLt0FwMrmRMj1ueispsDqMWopWZ+EkAsIGZcUwxSAPLPZ\n/4VuAtznnYhrzi2b9Zk6T2aKAuE6araQkpYrPZlgbIya7tKU17JbU6XEqFVV3YmmzfkCZdkkLexY\nm2K+8OuK7VibYH2zjFquYskEW3NXtNti29zspevTLqkAuBa1zUDW56+/+/P49m/ci5/58e/t5s3L\nqgv270o8mKxI6yZ9ye41pwCvTaw8i+3GnE0zp96dEQHGWmjc2nZ5DvttCxe87cfUNTqLmj23n9Pf\njneI2KSF+CPnkt1rXXspoPk3sndP83p2zCbYWlSWW9cWas26xqK2qbg+zbzmtWbYs2uG9c0F/uCD\nX8YjT55y9tE3Ntdrx311/6HusfkOZa3Fqq5ty5MraPZYrl2zmoy18zsTNOh11JQYNWvv9jpSdAFw\nRJNhfXPhlOeQf5xMssx7XT/04m/Gy77vW/A933Y5fun3Pt1cU+tMsLHANzx3T7+vc1BHjRByAfCO\nj+zDL/3eTX18l/glo2FcY6fX+7GbndAz51qhNqId1HyJGDVnTqwzgXB9GnFhn/fnpMSo2ZazGoeP\nr+PIiY24Rc26AfudCXSLmrnhbc4rVCZGTRSUNczaWLCY0JTXdbM+ZTKB5fpcd0tmNNcvcdUN+531\njHgA+l6fdsHbuq7xpbufxO33POXMWyyq3vUmLWpWJqdtUZNuLDXrt/StY32MWjNmzYqR+txXH8cN\nX3ykmyOvAVi9PkXWp3kvDx9fx5nNeVcuQ88GDVvUpM6+ZPea4zLbWlSdO9lY1braYUoAvRHZmutT\nWhV371rDmY2Fkxhg6LI+rcr/5vu0sbXAbV9/At/0/Evw3d92effdmWSZ54qU/75ecPnudlO99VG+\n77I8h0GNUTPvxUCMmibegF44AsCLv/u/6l6fLbLl+zzJ/N62kyzDq/7hd+AFlghrNJj7O2JrrTZK\nVwAAIABJREFUUTlWvFVdn7SoEXIB8bUDh/GOq/fh3//Lf4AXPHe3c+6jNx8A0P+STHF9SqsZ0Lg4\ndu+cdefMOsta1FJdn1q81zwg1GTMWVnV3S/+5euo2XFvNf7De27DbJbhX//k33OOO3suq67OlV9H\nTbeo2fFiVd27PoHe8mQwjcej2ZWBGL3ayljb3HKDvQE9mQBAV77AlLiYTrIuON6sZ8eoLcoKde2W\ndgGa92bXjhnWZwvfomaVa7GLvM4mGbacGLuw69PuMtBY1OzuAc3+7n34KK679cF+fWuOs2akhdTG\n1gJv+N0bcXp93jUMD9VXM0iLmsQINZlMADRC5dT63BKhvuvTfMabW32tObOPUryGPTtneOroGfX3\ngRmTTfrH5vt0+z1PYWOrxMu+75txz4N90dysdf9W8MWXwfxusi1qMjtzFohR2xmJUbMTJbQYNbuA\nr803Pf8SfMcVl+Lv/51vwN0PHsFX9h/CmY1FX54jy4Cs/0ynretT/rGrumCzDIuyxj0PHsHf+Y7n\ndeEBjruVMWqEXDzsu/8QDjx+HPc/Jruv9fTFMBMsasI1BvQJBVJgLRujlhLID+iuz82A6zNWkkMT\nNUmuT6cMR4WDh0/jqSPr8fIci6q7sdiuT9sNJ69hhNrmVhPMPJ1knSCTYscIpJTyHH0j8T7OzExT\nsz5NMkFgbSPGGtene6uwXZ/mM5J7XywqzKYT7GktOvbenOr5u/sb2kx0G4i7PrNunamwBpnnBx47\n7syVFejlmlJ0VTVw9MRmZ1U2sUtu2Q5jMdKyPvU79HMs16cpQmve752dNQ7tT0uoTf31jLW0K61i\nlUABGsFwZmOhfh87C5T9mtv30GRI/nffe4Vb3w0ZtIxUmxdc3luctGSCZn+6RW1XNOvT2nv7eM/O\nmS+gxLZmswl+4X/6b/ED//UVnYDa2Fp0792OtakzxWTB+m9Z+HX/2/9ycyOIu64EM2/eslCoEXIe\nIt15BvNLIGYt6wKNU5IJlBuhKcEg3U5Lx6glukw1d6lqUalqT3jZwk3bZ5N5F3d/2ha1+aLC+uYC\nZzYXbuxa6Yqxjc1FZxEqI4Kum19VVmC/nfXZ/FJfD1jUQns/fmoT13/hIQBWbTMlY3ZDy/oMWNQM\n5kbfJBO4BYvtZILNrn2Qb1Fbm02we9esay3UiQhLkO2xXJ9T0Q9IyzQ2n+/adGIVQjX76d2iGnYC\ngk1XnkO4Deu6xnEr8zFrY5e0rE/X9TlgUdu1hqwVAna5EaB3/fVWpH6RSy/Z6a1l/p33FrVeyAKu\n209i3u4syzxr3fGTzet+weW7nWxUY1ED/EB+g21RMyY1WcolFKOmtZCKWc+m0wkue85O55jclx0T\n2XXZ2Cxx9ETzGi/fu9NNkpj6fVabddFesz932vJGPPrUqe7fgZNMQIsaIc8unj66jlf/27/Gn117\nt3eui28S1jL7xqEVwwyhCaH1Td9NBujFR0MsU/BWWtRs150zblFFa6fJoP6h4/0a/Xt40iryK9tE\nmffatNQxpRaqgKBz91BbMYClk/UJ9EkdBhPrFFrvP77vi13TdeM6MzdEW2jbBW/NDbJzfYpMx+7a\nMYua5fo015mLz2VRNiUn9uyadRY18zW149J2rE279eQeQhY1EzTeJRNMTBapK7Qk00nI9elao8yN\n+KkjZ3D0ZC/UJpmf5SczRYFhi9olu2edRa0TniJGTRMn3/i8PZD0Qq21pIr3YE8kq9YIYxN3Nplk\n3b+T46eb133pJTvcQrzmTYBvJTM8/7Ld7Z7675fZp3md02AyQdtCyl5bi9ezrIEmG9M+ZmN/H4xF\nbX1z3tWJe+7enW7WZ+b3WbX3aVtPH37iZPf44KHTfp9PZT9joVAj5BnmvkeP4S9vvK97/pX9TVD2\nhz613xu70VkvSnHcDxJPilFTrF0bWwtVJGmB3SHcGLXxFrWy7GOftLWlUHPckwHL35BF0LaImZsU\n4P7FbI8zv5Cfs0exqAWsVFXZJxOYn7br0wgac0PYMVAGw660LuPZbIHcFSSdl9i7p2nfc2rdb+tk\nYws1aVGzy0vYCR+2VW2+qLA2nWDPzjVstDXizLUue84O5zpGnKS6Pk0igYzj0ixqz7Fj4GYTVTwt\nygrXfu4B/M1tDzfrtTfp33jPbXjH1V+1RipZn0rBW7szgUaXTFBZFkITo2bEueImvuL5vlAzvxNk\naZVeqMUsam7w/XSS4esPHMEnPv8QTpzewu6dM6UQr941waZv72UnqrguQdmZwNC5fhWLmhOj1u09\n64Ra931RXJ+GXqiVOHpyA3v3rGFtNnVbXO2aBV6bsdj1R+xxjx+yLGpOjBpdn4Sc9zx9dB2/8se3\ndAUYba6+6T6852Nfw+Hj6wDihWWNW1Ja1E5b5Q2MiEuKUVOsXRubpRrTtaxFTZYmMOd/87234bav\nP9GPE9YYLT4NaFxqfoxaitsx3fVpF8Y0VeDlOuYXshEtbm235vEOITxsV6FJ4LCzPo3r09y0e3em\nvve9lggxYsqIIVvk2FmfO9ameM6eNa88x5rYq+P6FBY1I7Qai5ol1Nr923FXRiisby46MXH5c3oX\n3tp00r1PM+n6VGMUa0dE2nvtYtQs69b3/u3nW9fKoN1/F2WFt3+4F2S2teeQVTh6UZZt8oiSTBAp\nz2EfA9xkAmlRM98F8weHLQT27tnhCa/uDzKRTGDEiVZDzNBnSWbta2nm/uGH7sTRk5vd52xb1Hbb\nMWGiNpqNSXDoe4W2Qfa7jFDzY9Dsa0k3OCBi1KwMz06omfdMCCP737Ydo3bkxCae2861ExAu2bWm\nuz4tVzEAfOs3POf/b++64+Oozu2Z7UXSatWbJVmSNe4NY2xcZFxoNsWUEAIJBAIkQCgJIXmhJOTR\nHoSQl5dCAiQQQkgCCYRA6MUYMGBj4+6x5S6rd2l7e3/M3Dt3yq4k22A7vuf388+r6WV37pnzfd/5\n8PObG3DzxXLBUUtnAP2D8vOCVDyTYzwUcKLGwXEYYJZPxuLxFzdhQ2MnHvzTGsM8oqKQUFSmKklC\nvvRqWcDEh2p4oU/jQBiKxE1J0sF0GCD7iMWTmlyfpvYBrNrYgrdW7zPdfiyRTHsd4nGzqs+hQ596\n8vn++gN4/MVNtJm3RlEbZIia7tqShz4hJVmmOWoKUdMpEZFYghJJQrqtVgucdpXMAOqgbqfFBObn\nlM0MBnoTWvZ60mKCeBIOuwVZjHcZIR16okZDVBZBU6VpEYAst4Pui/2ekeNnvc7IwBwMxeix5bBE\njVHU9Mny5obHavjWalDUjOpgTbmPfrbq7DlUN37t7zddknwoklCUMGPoU9NCykQVYsmO025lQp+6\nHDW7tsJWb/Lqz3ZpjiltMYGynicDUSM1mdTvjbkOvQMR+JScOPZ7XOh3m3cK0F0zATpFjShNynVI\nq6iZFBOYWnHQCk+VqNHz0j2O2d+wyylvv28wikAohjxyPZnD97rtGRU1AHj2vqX45S2nYHSZDwtn\nVCLbY0dzRwBd/fILd75PPaZDbSXFiRoHxyFiX2s/Lr7jFazZ2pZ2GfI7NSNUZHCjuWEZQoVq2Eyn\nqIUPjqilC32a2WIcbAupaDyBZ17fhm/c8wYla+Sts707SJeLx7WKVFqipvNRA3QkKc1xsua0APDS\n+7vxwoqdGAjGDAn1/UzoU0/UyGAWpKFPVV0CZIL0yod7ABiJGhsaJJ9ZRY3kqJH1hrLnYEOS+rZO\nGkUtqlXUiMksS1Azhz5ZNcihMUc1C32y3QNIPlpQMRi1CECORxv6VHPUhh/6BIx2CbT5uqaqlAl9\nWrWhT6KuxBNJqowCWjVED301YMSEUJk143Y62ORyNYSaLkctaqKoWQSBhtrp/qMJ/Obv6/Fv5Tun\nL9hwZ8hRI/c+HZEgLwJs6LMw12Pae1PfJksQBKSgEsiwzrYiXTEB+b6YESXT0KdFQF6OtshC/3xk\nFXKyfxLdyFXW1TeNN+Np+lw6VnktLfCirTuAjh6ZqLHkkeeocXAcYexp6UcgFMPOA73Y19pv6rJO\nBmIzA9cwDYVpQ2JmoK72w1DUDjb0GYrEM1bbDQf6puzS3h6Eowk0d8gPR/LgbOsOqcsZQp9apYFA\nzl9Lb8+RLj9Mr0oRMtY3GDGs06cJfaZR1CJ6RU2e/sKKRvz1ze0AYMjtYe8tqYSUiwkUew7lO0AI\nGhm00xE1tvhAn8/GEv4w46PmsFmR5bYrXRISw8pRY+9BtkdVG/Q5aoS8ku+KbM9ho+eeUnzjWCJk\nt1novg3FBCbfOVKkQI4NYKo+lXuT43XgK6eNxU+unq0JybGdCQDApcyLxZMIhGOor8zFM3efmTEB\nn636XLG2Cdfc95Y8fYhiAmOel6ArJtDmqBGlTR+CYwklIP+WCEkDmDw9y9A5aqQAhuyiqiRbM98s\n9MkqauyhLZ1Tg9oKH/77mtl0HtvlgjyzXGZEDVqSBOh91JB2mpmipq9AZn/D5PvQ3Cl3acjTKZRA\nekUtE+EqK8hCPJGCtFf2nCMFFeyxHiw4UePgOEQQgtU/GMVND6/Aoy9sNCxDS8JNVK6wTlEjJEaf\n3yQvq01EJzANfQ7DaNbUniOaMA85HayPWiyJZuXtlYQFCEkaCEZNW1TF42ruk36giZkUE7A5XGkV\ntYSeqEXp/3qFrp8JfeqvLSGJNPSpKyZgqwT1uV2soS35LBM1+RyjukGb+qilqfpkj40QM6qoMfdL\nDrkmkUymlNCnPAAPMmqiPpGfEjVB0IQMs70Olajpc9R0oU+7zUIHxmBYzlGzCIIhZGtWCSifk3nV\nL+k8kK7q02IRcPGpIqaJRZrvD9uUHQDcShhsMBRFMplCjteJLLc948BKCEgwHMNPn/6UTjez57CY\nhPT029EramRdcj/Za2IRBE1xBACs36Ht3zmSHDWN4SuAh29egFsuOYHOJ6FPraLmph0aWIJV6Hfj\n5zcvwNT6IuX85Bw1QmrJefmzncp5MaTLQs5PPV72eubnuDXHqfksAHk+LdnSv+w2TC+nn8mzuLlD\nJmp+RVHTq3pmOWqZQphlBV4AwI6mXgiCbPlB1+M+ahwcRxbkodDRG0IsnkRnb8iwDHkomYUjSfI/\nGfgHlOR1u+4NXF6f5KilLyYgGFZTdrPQZyRuOkCmC8luaOzAPX/4WEMMWVIUCMfoNelSErPZUAQJ\nFbAEK55MUiKjD0OxVZ+EzGoVtXREjfG+SqaoBcfOpl48/uJmzbJ9mtCnvphAq6h5nHKFGCGL7MBI\nFDEyCGsVNWPok4AobOTcB4LmKusg0/qrW2mgnTAJfbLkmxQTkHPTe4cR0GIChpQBsqKTrRC93oGI\nNkctbKao2em8ZDIFwaCoWdV964RD9juVSqWwamML+gJRTaEDYKz61ISxnNrQJ6uUkHtFiDkNu2UY\nkEnI8i2lLRW7bQJVUVPnG3K4lO3Q+0KImrId9RpqCU2pQggIPt7cqvmbdiYgOWoZFDVyvcge7DYL\nygrV7ZP7pFHUct3yeQmChmzpFUOqqCl/33jRNMybWo6vnzWB7osuq/zvcdlN89/G1+Rpzon9bGGq\nPgnIs2P+1HI8ceepOPWkKjrPTfuQyn+TnD9NMUE6RS0D36oszZG3m0whN8uZ1iLmYMCJGgfHIYI8\nFHqUgdIsdEkGM7NqShr6VMJYZFC2m/zQQ9RHTUukBk33OXTo00wlC0Xi5j0W47K32dOvbsNqplrz\n3U+b8NGmVuxmXOBZdYz1GTIjam09cp6aJvQZT9LrqDf5ZJuykwGEzTFLVyHJXvuBYJQ+qP/65nZq\nGkugqfrUFxMoK5L77nbalKbO8vYHTMKmNsWcNcAoaixR0ytvRFErUNqBke8Wi1hcq3zqr4XGRy2q\n3lMS+gSAh57+FK99JJ+7/vumH/AJsjx2VCohsn1tA0MqaoQoPPCnNWhs6pMVNTZHzaoqavrwNPs9\n2tDYiXuf+ATJZEoNfepMYRO6UB4Ag6Jm5tnVq+ROki4J6Wwn2H229wS105l1HCaKml4VpcUECa2i\nRsg9uYbstbIIAi5YOAbnNtTimuWTABhf0qiPmrI9lqjqQXPUmGMn3zmACX0yJMzltClNy4ETxhYx\n52y08EgBlHyXF2bh1q/OoMRI28tT/szmE7LXbly1TNTYa8yGp9kqYkANwbtdNuT73BolzGGzaPLP\nCMkTmK9/OnuOTIXj1QpRA4wK36GCEzUODgZPvLQZ1z34NnY29eK+Jz/JmC9GQBL5ycM+EDYSpHSJ\n/cTdHjCGPs3yx9IrasZ9DktRMwkThqMJ844AiSQ6ekP4yxsSfvL4x3Q6Oe9+xsaCJUX7WvvpZ2JB\nwhIhUlCgCX0mMilqKTroOXWDmv4zi3T2G+xnOo2pUGXJFrt91oHcZhXooMdur6VLDvlaLbLzO0so\nVR81i0GNIAM96dvaZULUyD2fWl+ILy8RcenpY+XzpEUN2mICVVGzUEVtL0Oi03mY6QesbI8DudlO\nZHsc2NvSb1pMQNUgm8VQdajPeWNz1PRiKLtt1jOOFhMomyFJ5jSUZ6KakfW0oU95Xh8lavJ10Ssn\nfjaMpczr1t0Tlnjoix0AfUshMJ0J1GsFGHMy9d9/h92KK8+eSMmyHrSKdxg+apSoMdN8XlUNItW5\nehImryBg5vgSdb8GFiP7xJHj0V9T9vtG5rFGyKxaV1kikyD2vlYUZSnryqH56WOLcPb8GgAw9zKj\n+xI000mIkj08r9s89GlmNURQku+l14mEavXnd7DgRI2Dg8GW3d3Y1zqA59/diQ83tGCT0u8uEwih\n6FVyk/RtgAAtsWIH0Gg8Sd/S9KFPPbmLMUrS4bLnMKvuDEXiaQsH9rT0G6aR82b9xtj1WeJqqqgp\nRI19CMYTKUqAM4U+iYqUGIaPWjwhN9hOJJKm5IwFO+YQRY2EI8m+1NCnHRaLhU4fYK4D8fCyWgWN\nmzkLq1XQVAQCqqKWm+2E1SIYSAGgviAU+T245PSxVGFYsa4Juw70aSxWWPLtsFsNeU7yeWnveTpP\nqmzFA6yqNBstXQFNWPapV7bi1v9bqTZvZ0KfBHqhgq361CtqH6xvxg0PvYMHnlqDjY2dmnXIsVkE\nlbCRc9CQMYaoWHWtgYjyQYgauS76cx5dplp8ELLQy+QiAuZ2E6ySM2VMIS5bOh6/vnUhndfeHcT9\nT64GoIZL9aTIx6hFmpw3ZjnWCLdaITXlCpHJlKOmFhMwuV8WAQW58nUhvz298m4R5H9WqwXnn1IH\nQGuDQpZJIUUVNX1+F+uZR35vrKLGhiL1Vb2jirM13wEAuOuq2bjqHFllJM8+r8n3HFCfG16XDSX5\nXsPxeV12quKxiKV5tpBjrCyWr3m+TlHj9hwcHIcRZPBrbJIrd4ImBEgPoroR8mRmlcESK9ajK8xU\nJwUjckcAEjpLJFM6Lyx12eEQNf36Zkjvo2ZO8nbrmlwD6iDXH1CPIZ2q1c0QNfLsaqehT60PWSiN\noiYXE5DQJ2mILv/98DNr8fy7jZrlycAaDMdw1T1v4omXt2g83Vjoqw4B9dpSI1ITRU0OfaqKmsdl\nw0M3zsfV58oDB1HUzGAxCX06mdw2f47LNPRJjouSC2X7jft78eg/N2oG10QyRV8oiD2HHnpvurSK\nmnI/qkpykErJOX4stu7ppsUjNqaYQH/cBKyiZlbduru5Hys/O4C1UjudRgZnsi75O26iqLFE0a7r\nTEAG1F6So2ZyXX54+Ym4fNl4w767+8O0GAEw915jiZXNJoctRxVnK/O0y9qHoailU+hmjCumn2+6\neBquWT4J5y2QCRStotQky8vTSD6ankeQikVSTEDSD0YpRAQQaLj08mUT8MzdZ9LzYg82lTK3LwG0\nihp5DrLqX0m+B187cxwevqmBTtvfJivANWU+jB+dj9NmVWHWJFXV0yMdSe1WenzOmlRquN7kOC4+\nVTRMT1eoRFBdKpNVfejzUBW19FSbg+M/BNv39cBqEVBbkTvksmQQOaDYSJiFMfUI6paJxZOIxRMa\nk9CIhqhFaB6I3lcrFIlrBqtINA67TX5Qs+QsU2cCFuz6erAVZ4CsCNhtFgTDMVOlDQB2NatELZ5I\nwmoRhlTUCCqKstDeHUQqlUJ/IIJCvwfdfWFaaBDTKGpJeu3ZHDU5aZ9R1EjoM5lEc+cg7XsJgJIn\nl8OKYDiOlq4Aegcj2LG/F2WFWTCDw25FPKG9ttSE1q5V79jwihzWVHLUglFkexyor/SjVQl9WiwW\nWC3mD3mrIBhCn+NH52HngV4U+T3Iy3Fi14F+pFIpDckgSp/XbfSd2t3cj6n1hfJx2yyIxpNU6XPY\n1KpPFvp7Rjz2jDlq8rok9LZjf49hW0R5tVktmuo3wJjnk0oZOwsAUDoAGDYNQK2sveT0sejsDWFj\nY5eyvpIcn8Yx32oRNO72JERFwnbkurDXYvakMs3fZNOyc78TNmsMA8GYabszdoDWd13Qqyw0R01H\nHHy67z8Bm+A/Y1wxXnp/NwCZ2C2bW0PnkfPPzXZRZfa2K06iBsTvr282HMuMccUIhGJUWZtQk487\nrjgJY0mumKANFZoptCQHb09LP3K8DsMLF/u9Ii+7GkVNEHDhonrNOkSRrynPgddtx/UXTjXsl0Um\ns18AmDtFrQbVh8Q9LjtuvXQGtuzpotd2qBff0WWymlmY69bN4YoaB0dG3PfkavzsmbX07/XbO3DB\nf72Eva3GMJ6e8KQjQCzM8tj05I0NfbIeXWFdxZw+JBfRVO6lV9TMignMlmOhV9PsNguyPXYMBKJp\n2zftPqBes77BiMZzjQ35xRJJzYBTmu9FWUEWovEkBkMx9Aei8HkdyPO56MM3ziSCp1Iq8WMf8G6H\nVWN4q4Y+k/hgfbPmWMk8QoJIdWl3f1iTg8aCDTsZfcW0XQLIfVeLCVIKCY1S1YnkTlktgsF1n8Bi\nEvpcPLMSj/5wCbxuO/JyXIgnkhgIxrC3tZ8S24COqLEDXyAUo4ae5FiIUstWfbLQqwXku2f08ZLX\nrVQUFH3fWQDYoxB6u82Cglw3Hr65AV87c5zp+Qcjcdhs8j5YVY/ci9J8L1WACEi4fHJdIRbOqDQ4\n67PcUpM7plPUCBEhIMUEAebekvNQtyd/DoRi8GU56YvEQNAYTtd0QdB9n8yURfl/LWlPZ77LKmoT\nawvUferul9VqQV2FD1PGqMvkeB04aWIpUzmp3fYFC8fg/245RXMsMyeU0GMRLMIwwnkCBoJRtHUH\nUVeRm5aYAurzMl2oUj03+f/6Sn/G5aYrRQ5j0ix32qwqOB1WTBlTyB6u+lE51nnTynHN8sl0erpI\nAcGSk6rw9WXjMXdquWY6V9Q4ODIgmUyhuy+ESFR9AGzZ3YVINIEd+3pRVaJW6sQTSQOxGU4xgZ6U\nAfKDns0tCesUNTpdp6jpH/bseuEIq6jJRqVkIND3o6TLZfBS06tmdpsF2V4HmtoH03qmkeR4QLFm\nYLbB5irF40nY7VZK4mrKffQhf6BjENF4EjleB+w2C7bt6UYikaT7dDmsCEUSlLSyDbydDivicbVS\nTi0mSOH9z3REzS4raYSwEYLTOxBOm6PGErWCXBdau9TKPrMcNUGQj9ditaBvMIK1UjtiyrkBakK0\nzSroks0FSirkYgLtIM4O6qQqrbUrgO/+73twOax49r5lBqKmD1E2Ksn32R4HuvrCtNgjXejT0Og+\nlcL8aeWYxJAAQK0iLDCoBipYRQ0A6ipyDTldXpcNgXAcTrsa+oybKFeFfje+fGo9Hn5mHSbU5GPz\nri6DfYxqIWJ082ehLyZgTUkB9VrSa8sQxJ9cPRselw0r1h2g03KznLAIAg50GKuD5XMw5lkR6L+D\n9jQ5ajlZ2qpPAhcTdmUVWTMC9fDNCwAA73zapOzLoll2pDlUAoYmHxaLGmKsrfAZ5rPfcfKc82Yw\nGgaAn93UgM27ujT9W81w2+Uz0dYdNIZjFVx/4VR86/wp2srTjFuUMRRRczttOO+UMYbph8jTOFHj\n+GLxj3caUZzvwZzJZcNeZ+VnB/DM69vwwPXz4HXbsWJtE6bUFxp63pkhGI4hmZIfvITYEEVLT4rM\n1DOzh69xH0aiFtRVYbKhSjZHjQ19BsMxDARiuvXMFTVAJmFupw3BcAxt3UEU5Xk0LZkALRHUw1xR\ncyASTQxLSewbjOqImjb0yb4x15T7qPHl7mZ5EM/xOuBx2ZFMyZWjccaHjCVqlPRYBNhsVsQSSep7\nRcJqO5t6NWFZgCgOEao8dChELRRJUEUmn1H0AGOrHJaokQH036t2o7bCh1AkrjSoFmCzCAhFEvjx\nox/Jx+xRjxmQQ5/sIJvtcdDwndUiKARCDfWxAwjJd/lE8csig9qgLkdNTwRIRWduthNoAT0XOfRp\nkqOm+z54XTZ879IZhuUI8dWHNFmQc2O/A2zCOwA8dFMDVn52ADMnlGKDUijAKmpEqSv0u7FwRiWm\njCnE7uZ+bDYp8KE5aibJ8SzIdSbw5+gVNaXdlYnCM02UVZpdzaqqzF4DM/LPHoVZ/iOLg8lRu/Gi\naUzemHGZdNBXpY5U8SEtsDIuw5x9nUnaiZnPGFE006G2IndYKSwOuzUtSSPQ/14ynQ95sRqKqKUD\nr/rkOGaQSCTxxMub8bc3to9ovXVSO/a3DWJXcx8am3rx0J/X4h/vNA69ItSHZzKleusQOwkDURtG\nCNMMpqHPiHYaq4yxhrgs+QpF4tS+gvgCZQp3knnS3h6kUsCUOq3yAQA3PbwCG3d2GqYDRtd3QtQA\naMiLHoSw9A6GNSqJPvSpb4xNErd3K4Qqx+uk0zp7Q4yippiQBiKwWAT6lm21WmC3CtQmBACt2Pr3\nh3IOyUkT1MTidKFPQFV8RhVpH+asslXodxsaaQPAhxta8OxbOyhRk4/NPOGeDAZWiwALcz3Ywdeq\nhJHYfWkqE5UXkveZ0O5f3pDw5MtbAGTujQiAKmJvKF5xVaU5pknWhKjNmVKGJTMrcdu753iqAAAg\nAElEQVTXT9LMJ1V9hX5ZhXI5bJpkegI25M1+B4rztEStvDALX14iUqIKyIrFXVfN1iSQF/nl9fJ9\nbkwXi3DhojF48NvzNNsil0vvtK+HzWrReIa5dEbD5FqSFxWzVlKVDAHwZTmpcj5gRtTYEOwQBqiq\nj5qeqLHWINrzWjyzEmKVtjoxXbsxzb6sh6ioCUOrREkmac+MXJkVX2Rq3fV5I2WWZKiA3JuRtNE7\nnOBEjSMtYvEEfvCr9w1moAeL/mAUqRTQM5CeBADyfFZpImSrpz9ClRC92WSmfRKQ8CBRY/RvwGYq\n0lDKUiyeNK2cZH3NiFca6aPH5sax+T2hSJwSkArlLTmjoqbM27anGwA0+RbsAPr3t3ekPXYWJEcN\nyEzU6ivlh27vQJSSXsAk9KlT1PKUMBOpEvRlOWjoqbMvTA1ZSS/A/kAUHqdN9ZeyygN6PC4TNbvN\nQpsxhyIJ5PtcOH12Nd0nIT6EWLIWF23dQbidVhTpyINDo6i54WbygILMd7KtO4hgmCFqukRxQnjJ\n4GzVhT7ZwZdMJ6QT0JIuoqgdUFreAMDTr26jn4kKwW6fPQ9iShqOJuByWDF+dD4EQcD9182lVhGA\nGtbJzXLihoumGRSJB749D4/ftkRjwJqb5TIc73gmLKX1S5OPSe8izy4XjycxfWwR6kapA3uRXw1P\nWiwCvnbmeJrUTqcrREO15zDsgk7XhyPZ8CZRGsn1IySRxSgNUXPQ0HxfIIKxVX7q5cUeFzC0okZS\nGxy6HDX2GmYy4j1vQR3yfa6MDeXpseiaxo9U8BmOokYIfXVpjuYeZkImz7fPG5nyeQkZT1e5PRS4\nPQfHiDAYjOLeJz7RmJCmQ3NHAJt3deHjTa1DLjscEILUNxgxvPX1DITx/V+uxMbGTlz/4Dt45B8b\n1PUIURsIUwKRiUho9mniEp9WUTMhZW3dAdz2mw+wjrEGYJEuh42dHlO80vw5LhT63djLeJGx5CsY\njlPVhyg9ZjlqRAUg87YoRG0ykyzMrmcwq1RgUNSsVqoEkZ6cZpVoY0bJCbq9gxH0DbDGsNrQp02X\nZ0XUs51NsqJWnOeh0+5/cjV9ISDkZyAYg8dlo9uxWi2w2SxIJJPo7AmhINet2ce8qeUa1YYoYPr2\nTAQl+V6cv7AO114whU5jt1eQ69YoT6xPVK9SSEHm6xWcHI82HKm352Dz7kgzb9IjUY+acp+pcgXI\noTmSK8YewxiG6BTkumk12uS6QnpPJ9Tka0iHvpJWD6fdSGxJ6M9us+Dqcyfha2eO0+xb3+3gufuX\n4bHbFhu2TZYzU4MKc41kSQ9CYGjoUzegfnP5JMwcXyKHMhnlRBAELGHaCxFi/a3zJ2PJzEp845yJ\nhn2xRCg3y4n50yoAAF89YxwevGE+9fLSH4e+SIDgtFny/kkVbYVyTxqU7bLINNx//awJeOLO04bV\nush2qIoahg7n3fPNOXjkB4vw85sbMm6f9RzL1EXh80amfOQ7r5yF+dPKcf5CY/7ZcHCQ/E5d/9BW\n5zjW8NmODqza2IL3mITYdCBu6Gzfw5EgmUxRewJ2O8kU8NS/t+D+P66mcvPTr27Dlt3duP23H6I/\nEMUuxq+LVdSGImrBcAwr1x2gJETTziekEkVAJW4EZu7+BzoC2NDYiTt/t8o0Xy1daJQNoxLS5HJY\nUVWSg56BCD0GNocsHFVzp4hZJZvbRj77mLBoMpmCtLcHZQVe+LNd9K2d5NMAQAejPnb0hNDULucu\nmStq2tAnydHxMLk6qqIWRo9yHr4sB4LhOOKJJFZvacVAMAq7zYIn7jwVj9++BICauE0G4+I8Dwp8\nxjdtNhzlcdnpoGKzyknnoUgCvYMRFOa6NUpWfaVfk+BOQ59piFpdRS7KCrJwxuxquk82567QryVq\nDdMq8MtbTkFxngf72wYQiyepAjCg6wdK1DeVqFno5yy3XdOvkZwDsdPQw5/twi2XGHPF5k4pwx9/\ndBoNF7GhpvGjVcXJaVer26aPNZLBmy+ehnPm11L39+L8oYkRASFq0VgCZ82rwYWL6nHiODX8TKo5\n2WMxIyz6rggsCoahxhAi8IeX5J6teuK8dG4N7rjyJAiCYPgdnzWvBnoU+T244aJpGfPwAPmloro0\nB3+/f5nBSkI+LvUzcdInuPLsiTh7fg2uPX8Knrt/Gf3uZrnt+Mf/LMN3L5lucqIZD2fYIM8JQiBG\nSiSsVsuQCqHXbUd5YVbGkO+z9y3FY7ctoX8fSUWNmBoT4sxiVHE2vnfpDI2aPBKccfLoQzo2Xkxw\nnIGEf4ajSBGTzf5B8wq5ofDu2v14+Jl1eOD6eRg3Ok+TRP/P93Yinkih/7wofFlOtCmJzsTPiM3j\nIkSteyBMnbR7+sOaqkcAaO4cxPUPvoNYPIkbL5qKxTOrDD0bE8kUVdL0oU/yAHfYrYjGEprKPAB4\n5vVtmrdlIP1bGNudgKhmLocNBblurNnahr2t/ZhcV0hDnx6XDcFwHPvbBuDLUj2HNO15FMKXm+VE\nW3cQkUgCnb0hhCJxanhJfMDmTi7DDV+aitt+8yHaukP02t7+yAfo7g/j9NnVeGHFTgAykYlEE7Ax\nRI3knmW57egdiMDjtNFpRFHrG4xSYllZnIONg534eHMrdVq3Wy2aqjqvy0b3BciKlln3BFax8Cjt\nmQB5cGHVgkK/W5MbNmZUroZYEWXILHGeLM/uh21cDshKFGtjYbdZUFWag9ICLz7b3gFA9bgiRr5u\np1yxOmtiKQBZ6XE75SpLEq6vr/RrVCvigJ6pkm3mhBI8+sPFWLe9A79+bj0AuTk3q5bG4yxRywew\ngx73OfNrkUoBp5xgVGkWzqjEwhkyiV+xrknTwHookFxKNr2nvkq1RBgqL4vATAWqKfdh14G+jNWl\nBPrODZnUHvK7Jypxkd+Dmy+eNqIm2pPrCrChsZMquOlUa5YwVujyIc9tqKWfnRZ9uNN8e2ETK5SR\n4N5r52Bf6wDdPiH57hHmhn3tzHHDalE3FPRttdxHkKgV5Lrx7L1L077YHQpYQ+KDASdqxxl6lHLp\nzr7QEEuqDz8zRS0cjePtNfuxZGaVqbMzADQqIa5te7sxbnSehhgRAtTRE4Ivy2nIORsMxRCOxGG3\nWxFQ1Ire/gitCkskU/jDS5tRXZqDRSdWAgBeWLGTqkSkspANbw4EYxgIROmgQua9vWYfaspzaejz\nsjPHweu246UPdlOLAwB4/aO9uHiJiCyPA2+v2Y8PNzRj6RzzN6XGpl7sbenHnpZ+/PZ5OYzrdFhp\n4949LTJRIyTOn+1CMDyI3sEI6ip8dCAPm+Sokbf8cDSO/Yo6Nkp5W3fYrAgiDofdinyfG8X5Hhzo\nGEQwHNM4xhOSBsgJ1JFoQpOjRucpJIetfivyu+F2WrFZsTmZLhah0O/Gxp2dWLG2iS6nV0kEQUB+\njgvNnQG4HFbkeB2Iu9QR/r5r58Bus2jUXr2iZteFJjMlq5N5U8YU4t21TYhEE8jLcVLLADYPyu20\nA4hoiFphrhsVRVm0IpEoYixRm6QUcBCV8NIzxmHpnBq6rCAIuPfaufB5nbji7tcByESNzWsk6pfT\nbsXZ82sMSi9BSb4XZQVBzd8sxlb7cfnS8Zg5oURTzWi1yl5mZmE8FoV+Ny4YYWjHTHGyKr08Y/Gk\nIbyeDmYk6X+un4tINJE2FMuiptyHlZ+p3xu9FQgL8rvPZl4IFs6oHNZxEtxxxUlo6QpQFXI4SPec\nHA7qK3OxfV+vJmR+MJhUW6CxWxkzKhd3X3MyxKrMvmR6kBeRw40jGfoE1PzYow1H51FxfG4YiaJG\nVIJgOG5w2n9r9X488o8NsFstmhwPFsQqoqldToI2Mxnt6A2irNCr8eci+J+n1mAwGKWWBd0DYc2D\nn5CNIr8Hk+oKsImpbtynWBNoc9SiGg+zgUAU+9sG8PAz6zBjXDHNQaop92FibQHe+VR1uT+3oRYv\nrNiJV1btwYWL6vGvlTvR2NRHwxk2q0VTuv3RplZsbOzUdDZwOWyUqEl7eoB5qj1HXo6LJosX+j30\nTZMoTuFInOa2qaHPBHoUJZLktZCKMfJ/sZIMfcmdr1ByPKo4m7ZiAeRk9O5+meRl6xKRKVFj3rgF\nQcDZ82vxV6V692tnjqMVias2ttDlzNqt5PvcaO4MoCTfC0EQYLcJ1OB2Qo2c5P7hBnUbHpeNSci3\nQKz247MdMkkqzPVo8gpJ+Ouuq2ajuz9E+7R6XDZMqi3Amq1tmjZX5F6QZQBojH49LrtmICbHUcaE\nLaeL2lCiHI7Vyjl6awKxyk9D+w3TKjT5O3rFVg82Eb9UR9QEQTjoHJqDhT9NaPA331+EVz7cjZMm\nDG9A11dfytNsBsUlHc6eV4MZ44rx7qf78fd3GjUehnoQ1ZhVVEcKl9Om6f+ZDiTnVG9NMlLce+1c\n9PSHDb5vhwpBEDAlTcj9i8QpJ1TgnU+b4M/JHGo+XsGJ2nGCVCqFeCJF3zS7TRQ1eZkkJWRdTDih\nPxDVPCSalIF+l0nvRwLykCKkoM+kfL2jJ4TGpl7T9itrtrZp/u7pD5vK7b96bj3uu24O9rcNYrpY\nhH1tA9jXZiRqgVBMow5G40l8tEkmBQfaB6kiY6YiXbRExMsf7Mb7nzVj2dwa6qX06Ta5yCDP50J7\nd1ATLtW3n3I5ZG+fUcVZ+GBDMy7vCdFQBuuQztpCtHYFMBCM4tfPrcdHm1oVfyCZHG7c2UmvGyGM\nJARD7iFJ/ibHNLmuAHddPRv72wZww0PvyuepkDC7zUL9vwiyiPWDLh/l0tPHobY8F9FYArUVuabe\nVjsP9BqmkcRhVv168kenwcJUkbFKnNdlV9r+CPJLwcwqShALc92UkM6epBICkoe1ba/c2shmseDc\nh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7+/C39/txGpFLB0zmgsX1CXVrnb09KP/378I7T3hHDpGWPTlnknEklI+3rgsFlRW+Hj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\niRoHBwcHBwcHx1GK/we7AqeKX26m6gAAAABJRU5ErkJggg==\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# However, upon closer inspection, it's clear that there's much variability\n", "winsize = 500\n", "i = 0\n", "j = i + winsize\n", "df.iloc[i:j]['time'].plot(figsize=(10, 5))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As you can see, there appear to be multiple trends in the data. There seems to be a \"most inefficient\" line of growth in the data, as well as a \"more efficient\" and a \"most efficient\" trend. These correspond to lengths that are particularly good for an FFT.\n", "\n", "We can use regression to find the \"linear\" relationship between length of signal and time of FFT. However, if there are any trends in the data that are **nonlinear**, then they should show up as errors in the regression model. Let's see if that happens..." ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [], "source": [ "# We'll use a regression model to try and fit how length predicts time\n", "mod = linear_model.LinearRegression()\n", "xfit = df['length']\n", "xfit = np.vstack([xfit, xfit**2, xfit**3, xfit**4]).T\n", "yfit = df['time'].reshape([-1, 1])" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [], "source": [ "# Now fit to our data, and calculate the error for each datapoint\n", "mod.fit(xfit, yfit)\n", "df['ypred'] = mod.predict(xfit)\n", "df['diff'] = df['time'] - df.ypred" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": {}, "execution_count": 31, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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NZwG8tPMljpwcIe36iJb76Tr6MsFQgKTPprXl3XmOVCwW//Pfv09/phbbTOLJ\nFPDiy8e47srVPPHTx2lUGwn4U9ixYQ7rHjavb6a1ZaMMtS5yktAJIRa9aMjEcl2SyQQ7d7/CxISF\nxxckXFRFpLgGJ2UTcY7KCVNcNMd6xolULwUXXExGJhLsP6DxhCvx+KO4uIT9AVbUBmVNRAFIQieE\nELS2bOSJbW3s2nMQrz+ENwi+QIShE3sxfQGcxAS33XF1vsMUC5xl2Ty2dQfP7TzM0aPHqAs04Q0U\n0XXoeRL2OPZwGSWlpaQzabweL4mUI4sHi1dJQieEWPRCoRB33nodMdth976jjKWSBMsaKSpvBFwy\nEyepqijMd5higduyvY2deph+y09J1XL6O/fgpBL4AhEu23gziclBfKFiejv2U1ZWToE5LosHi1dJ\nQieEEDnRkEnzikuYmNxNbOA4k0Md+Lxerl5bJ83mYtZMzWTd9sJhBsfTpNIQLq4g42TI+HxEIgVU\nVpTglBTQ1XmIyuKgXEtYvI4kdEIIkbNxzTL+1/ceo6z+EuLjA6xsbqQslJSFWsWsmpplHQh144yP\n099zgqrlV1AZKWFiqB3SNqZhYvoDLF+2jA3NEembE68jCZ0QQgCdJ7r4/Y/+A9ElG7HG+ygrryY2\n2MmXvvgJSebEjJuqyg2O2vx8+4uY/iJcwyAVH8UkidWvKSwsYFltIZmES3rkIKbHy5rVDVItFqcl\nCZ0QYlGbOrH+y7cfwQlW4wsW4wsWk8pMUldZK8mcmHGWZfP5rz1EMlBHz8njjE46FJfUUxAOYThJ\nwt493Pqud2AYBq7rEnYHpSInzkkSOiHEojY13JVwgziZBI7rYpomyZRDNODkOzyxAJx6JZJkMsmE\nU0jIHyWe8ZE2g0yODZOwDJKxfhqryjiw+xmWNS2lpDAgFTlxXiShE0IsasNjCQ53HyY2NkRl82b6\nj+/EHwwTH27nvs/+Y77DEwvA9CuRWK7Lnn3P4/eGcV2X8eE+TE+UgqIyJka6iJY3UVFXxCXNDVKZ\nExdEEjohxKJ2vL2djgGX8qqljHTtx+8PYabG+eP33UppaWm+wxMLwPQrkRiGgZNJ09zcwPZfPUM8\nESedthlMjpBKO5QWFtC8dBWGYRCzpEIszp8kdEKIRa2xsYHDXQeoqmsiGOomHA7RWO7lfb/dmu/Q\nxAIxdSWSqZ64jWuW8srBfSxZvprR8V9TuepKfJ4Mk6M9+P0efD4fruvKosHigkhCJ4RYNKb3MvnN\nJMlkii2dXgtNAAAgAElEQVRPvsCw5aE0WENVfTNVRR42qUKZDCFmzNSVSGJWtoeu9W3XknT8eCNV\nWOPDDI93k8ikqSkP46bGSE/2ZfeT3jlxASShE0IsGtN7mXbu3kNP3xBGpAq/m2TgxH4mg34qm0to\nbfnDfIcqFpCpK5FA9kvFE9vaeHnfIYLFNgG/wZKmFfixpW9OvCmS0AkhFo3pvUxpxyTtePD6AtQu\nXY7rJKks8nJpQ0iqc2LGnG6GazpQy+p1V7D/gMZJTOAzDtHUtJSwOyhVOfGGSUInhFg0AmaavYfa\nSWWgp6ebkZFhTH8RabOQaMSLz4P0LYkZdboZrpdvqCMQCLL+8nWkJ/t4/7tvyHeYYgGQhE4IsWi4\nOEyMDtBxsovurm4KK5ZC2ma8ey/ewgBrLr9CKiRixliWzXO7jmCEJzGcJKnEBEePdtA9aFNWVorf\na7BByUxqMTMkoRNCLBpJx49pGkzaLt5INd5IFX6vy6qGIi5dWsh7b5dKiXhjTh1abW3ZyJbtbbie\nMBnHwyu7XyZStpSkE8AMlTNuO9RVFWEYUhEWM0MSOiHEohENmXR29TE8MkyosBrTG8QxQB/v5cpV\nxfkOT8xjW7a3MZIs4OCRQyTTBs+/+B3Shg83UMGB3c9g+kvx+gJES6rwB8OURb1cunIpicm+fIcu\nFghJ6IQQi4Jl2SQScbpOtpNOmRSU1TMxfBLDMEmMHKG15X35DlHMY8NjCX7x3EtMOBEmx4ZI2mNE\nwxEq6gsxAmWk0kkKwgHisXHSaQe/15C15sSMkoROCLGgTQ2FPfn0LnomApj+IjITA0wMd+H1+XEz\nSWori2Rmq3hTjre3MzweJ2OaFFZdQmzwBPH0JMODvWQSkwQLK0iMdVJSVMzYwMs0XXqVzGoVM0oS\nOiHEgjY1y/DwiRGKlmwgGJnAcU3s8T6i0SICZoLb3rop32GKea6xsYFfv9wBwQgGLgYZvL4gFbXL\nKC0M0H/yMKWFYVo2NdLacpd8gRAzThI6IcScdrpm8ws5GU6tPZdIJBjuPY5reDFx8Lpxrlh9CRtW\nN3DbLZtn8RWIhc6ybDo6OikuLaOvvx+3qJSCaAH2SCduspKwz8fNLddS5B2TRYPFrJGETggxp526\njtcT29ou6KToN5M8/8KLjI0MUF68nIDXS1FJOUHrCP/0Vx+YxcjFQmZZNo9t3cFzOw+zTx8lWNpE\nyp7E73Gwe/dw2aUrWHftlQQCARIZL1HvmAyvilklCZ0QYk6bfnUHwzCIWc4FHW8YJr0Dw0SKa0kn\nJ8DxY3hMWq6TYVZxfs60JMlOPUy/5SflLSMaXUJBaQMFQZNS74B8WRAXnSR0Qog5LRoysVwXw3hj\nswITGS+ZTJqi0ioipQ1AhhATVJYVzE7AYsE5XZU4ZjvZy8elXeyJUZLJOE7GwO8N4BjpfIcsFiFJ\n6IQQc1pry8bsCdT6TXXkQkRDJobppbSynuGBTkwDPMYorS3vnqWIxXxyPj2ap6sS+80kPV0d9PSO\n4A8XMdj5Cv5giJHUODe/59p8vBSxyElCJ4SY00Kh0BtuJB8cHOb5F19hoKeDYNxDRXkxdVUlXN6k\nZJahAM6vR/N0VeJk0qSxaQVD43ux7CRFFfUUFESI+F2CQflsiYtPVjQUQixYn/vqf3BgKEqoeh2W\nNYk13M4mVSizWsWrYraDYUyrvtmv79FsbdlI2B0kPdn36tpxiYyXdZcp1l+2giUNS6mrq2Pl8kaW\n1leSyEitRFx88qkTQixYOw/0ULasCQ8QCJfQf+xZWTZCvMb59GieWiW2LJtDhw6TDFiY3hCO3YEb\nDOJzfSxvrCHqHbuYL0EIQCp0QogFyrJsJifGSaczOI6L4zikEna+wxJzzOmqb2djWTaf/9pDTBrl\n9Jw8jmVN0lQd5dZNlayoDVIky5OIPJEKnRBiQZlaH+y/Hv0Vcdum51gb/kAEN21RVykzW8VrXWiP\n5pbtbUw4hYSKyqkrKMPnWqyoreW9t98wi1EKcW5SoRNCLChT64MNTrjUrboeJ2HhpOOkJgb46mc+\nku/wxDxmWTbP7TpC38Ag/UMjJOI2R44c4ZWDx3jkZ09j21IBFvkjFTohxIIwtfzEthcO09UfY3Ii\nRmFdlNpLriHo98LoPurq6vIdpphHpj5T3X2jPPfiHuwkJBwfy9RaBvq6OHmkm/qG5axeuxbL8F7w\nVUyEmEmS0AkhFoSp5Sc83g7a249h+ELEhk/i8fiIJSe4SpXmO0Qxzzy2dQc79TC7du+heMkGkk4f\nJeX1HD+0l+blTWTsIa6/ai0+nw/ggq9iIsRMkoROCLEgxGyHjDfBiRMn8PjCBAtrmBztIhAME3Bj\nfPJP/0e+QxTzzPO7DjPqVJKigIxjYls25b4AxRVL2Lj+MiLGGF5v9jT6Rq5iIsRMmtWETillAF8H\n1gFx4B6t9bFp298F/A2QAh7UWj+glDKBbwIKcIAPa633z2acQoj5L2CmeeQX2+kfy+C6DtGyGqrr\nGgn5DepD/ZSWSoVOnNvg4DBfeeBhYgmTtj2HKap0sSaHKUgm8EfLiI91YiRGCLv13Pehd7P91/ve\n8FVMhJhJs12huwMIaK03K6WuBL6Uuw+llDd3ewNgA88opR4FNgOu1vpapdQNwOenjhFCiDNxcejv\n78MxCiiqWsFA+y7GAwEayjzc91mZDCHOz1ceeBjL38DAwAnsRJqiYBk1TcUMdO3D4yZ5yxUruO9D\n97z6BUF65sRcMdv14WuBJwC01r8Gpn99WQUc1lqPa61TwA7geq31o8CHcvssBUZmOUYhxDxnWTYv\n7T9JKg3FVc24GZvCsnpCRpxvfvETUp0T521k0kEfeIWkp4RgpIxM0sLnBbXqcjata+bv/+Ie+TyJ\nOWm2K3SFwPQls9NKKVNr7ZxmWwwoAtBaO0qp75CtzP32LMcohJjnHtu6g87uIRxMHCdDpKiKoBdq\n6025Zqs4L1MzWg8dOgTRJiJeP8FIITgpwv4Q9ZUR1jQU5ztMIc5otit040B0+vPlkrmpbYXTtkWB\n0akbWus/BFYCDyil5C+yEOJ1LMvmkZ89zQ9+9gL+4qWEAib26EkmBo9TX5zmysuX5ztEMQ9MXf3h\nVy8P4foijPe3MzbcR7SokEJ/nJponA3NEbkGsJjTZrtC9wzwTuAHSqmrgL3Tth0AmpVSxYAFXAd8\nQSn1PqBea/2PZCdSZMhOjhBCiNfYsr2NkWQBMStNejKNa4bxkMR0EmxaXSUnYHFGUxW5mO1w6NBh\nxtMRBkeGCESqKKquID7eQ8QbYFllhPvv/V2p9Io5b7YTukeAtyqlnsnd/oBS6veASG5G633AVsAA\nvqW17lFKPQw8qJTanovvXq11YpbjFELMQ4OjNlu372A8NsHIxCuU1CgCPoNVDYX4/X45CYvXmUrk\ntj+/l1imiNKSErr6MxjuEI4ZobRyCcN9xymOBqkpNrj/3rvlcyTmhVlN6LTWLvAnp9x9aNr2nwA/\nOeUYC3jvbMYlhJj/LMvm5089Q+dAGl+4HDeVBFwyqSQer4eYLYV98XpTC1D3DKfwF0fZd+Ago0O9\nFJTUYaTaqVhSQE1VOdduuowi75gkc2LekIWFhRDz0pbtbQzG0riui8cXwvT48AUihP0uaceURV7F\naU0tQD08NIgTc3AcqFq+idhAB6UlFTCm2Xz9VRR5x2RdOTGvSEInhJiXYraDPWkRjNaTik9SUFrP\nSLcmWlOCPzFKa8vd+Q5RzEHRkMmzL2uKK2rpHxjB9AZwHYfGZSsoL/KzuiHE+999Q77DFOKCSUIn\nhJiX/GYS0zQBh0xiguETLxP0wR03Xsltt2yWoTLxmokPU1dyaG3ZyJM7vs3IQA+To2MEC8rxGA5l\nJUX4DFsqu2LekoROCDHvWJbN7leOEI4U4wZCFBSWEPSmeff1jbz39pvzHZ6YI6b65bwRg5G4zee+\n+hArV67gyLF26tRN1GTSDHQfo+/o8ywvW8ea1Q0yzCrmLUnohBDzhmXZPLZ1B4888TwTmSg1TatI\nTY5gmg41xR7uemdLvkMUc0jMdvBGDAAO6kMQqMMbqSJcUkvCniAUDlG/dDmhugj/9FcfyHO0Qrw5\nktAJIeaFqcVfj/YmGEsVMDkRww0m8HvDNFVFuWZNiQyziteIhkws18UwDJJpg2jYJJGIMzkygBGu\no8CEksICAna+IxXizZOETggxJ53a/xSLxXjl2CD9wxaTsWFqVmzGHh8g5fVyoHc3n//YZ/IdsphD\nLMsmkYjzws6n6B8aJeM4LL9kPa/s28/KdVdzZP9ODLuEeG+Mr332I/kOV4g3TRI6IcScNL3/yXJd\nfrbtaQYGRvBH63HwYI8PYBoGQZ/DkuXNUp0Tr7FlexuZYD1moBdCPox0kuNHDpDOZFi1+nJ+93fu\nwufzkZ7so7S0NN/hCvGmSUInhJiTpvc/GYZBBg+hwnJ84QJG+o5QXLUCn9flkmV1BOwjeY5WzCWW\nZbPtub10jnjpPdlO1bINFBV5qaks5fgr27ikuQHDMHBdV2a1igVDPslCiDkpGjJxXZdEIs6u3XtI\nJywmRgfwhYqoa76Cyf4DpIYPE7CPcN+H3p3vcMUcsmV7GwcOn4RAKRkHkqk0g8NjOI5DbXUVYXeQ\n9GQfYXdQZrWKBUMqdEKIOam1ZSNPbGtj156DBIuXUN/QhBsco//484SjxdSXefnXz39MhsvEq/2W\ng6M2Rw4f5Wj3KHbGR6x9D/5QhKQ9jt/nZaj/JLdcsZw7b70u3yELMeMkoRNCzEmhUIg7b72O4bEE\n7YMZ+kcSlFUvp3nZCtZftkx6n8SrpvotD594mRNjXiZTAVKpMYKFtYSLq0jGevEYDiWBAm67ZXO+\nwxViVkhCJ4SYsyzL5qmnn4ciRU9PNyVGlNHBCVavrKdIep9EzuCozeETL3PkeDdjVpp0OkMgXMRI\n90G8Xi+FkSBvv+kKyoKTMnlGLFjyF1EIMWdt2d5GQWk9HYd3EyyuZ6T3GDhpjux7QXqfBJBN+n+5\n7TkOdyfo7u0j43rw+MNUNa6hec011BTDknIfZcFJ+cyIBU0qdEKIOWfqihD/59FnOdk7TLRiGf5I\nGdGiCooDFitX1kmlZRGbvkbhoUOHSZkRfIECwoVVZNIpxoc6KSwspDDk4aZrrqXIOyZ9c2LBk4RO\nCDHnbNnexvN7e+k40UVh9Srs2CCBSAnxlEWDqpelJhaxqSuGTBrl9HZ3MDAwwqSdZElRM6FggHBJ\nE4HaSmrKQxgZiyLvmFTmxKIgCZ0QYs6J2Q5dvf0ECsqJTwwSLV/KxPBJ/D4P4YyX1pab8x2iyJMt\n29uYcArp7uulp2cEwxvEGwow3NeB3wux7t0saa5j89rltLZslEquWDQkoRNCzDkBM814zMaaGKJ+\n1Y3YY334g1HSI5r77/24nKQXseGxBENDg/T09uMvqCBcWMnkSAeJiQFKK6Lc9c7ruO2WzfIZEYvO\nWRM6pVSz1lqWYBdCXFQuDulEjGhRBT2HniMQjuIkx7j79hY5US9SU32V//nIFgpq1pNKnsAMxMFw\naVx+GW5ihNuvrZdeObFonatC99/AW5RSP9Ja33ExAhJCLF6Dg8N85YGHOdgxQiBShplKUN24GoM0\nS2tKWLqkKN8hiotg+qSHaMjk+k2r+fI3H+ZobwJf4RKS9hg+r5egz0dy9DgJo5jGMqRXTixq50ro\nHKXUDmCtUuqXp27UWt80O2EJIRajrzzwMJa/gdhkLykChIrqCLoTGIZDOJOQ3rlFYmqhYG/EwHJd\nvvzNh5lwCsFrYXgsCkrqKK2oIj3Ry5LKSq5e3yz9cmLRO1dCdxNwOfAt4O9mPxwhxGIWS5gMDJyg\nsmEtA73HGes7RlFVIbe/dYP0RS0iMdvBGzEASCYTHOocwhNIErPSlFQ0MNLfQVFBgOXVAe6/93fl\ncyEE507ontRaX6GU+pXWevtFiUgIsehMDbGdPNHOkOWnpDpMuKiCmsoybty4hPfefkO+QxQXUTRk\nYrkuyWSCLVt/wWTCpChaTLzvIO0DXUTDPt7+1mu4653SUynElHMldAVKqf8NtCqljFM3aq0/ODth\nCSEWk8e3PsuOPb0cOXYSX0ElfitBIOChrCoqa84tQq0tG3liWxsv7tzLZMJDSdUSThzZS2ndCupD\nHlquvoyId0ySOSGmOVdCdwtwI3AdIBU6IcSs2Lm/k5d27ydctoyS2pVMjvSQth26Uido/dif5Ts8\ncZG5bva/3QMxMMN4AxGi5XX4fCGW1Ebx+/3EJp38BinEHHPWhE5rfQL4nlJqt9b65YsUkxBikUkl\nErieEI6TxvT4KaxohLRFXblcTH2xOPVyXg3NaxkZnSBS1Uh3+36cjI3XdGleqnBdVyq3QpziXOvQ\n/Vhr/U7gUaWUe+p2rfWyWYtMCLEoWJbNya6TTIwOEC1vYmzgOF6PDyM1zMYbr853eOIieXzrs+w9\nkcKyExw42M9Lh7fhDRWTsobwBUJE/V6WVjoYyWHCHlOWKBHiFOcacn1GKfV+4G8vQixCiEXEsmy+\n//iTfPcHTxKL+4gUVzHWfwyPL0DAa/Lh37+Z2992bb7DFBfJzv2dZEL1vLxnN/GUiScQoLyqgXis\nm+JIiJpiH5/+xPukYivEGZwroVuZ+7cMaAZ+CmSAVmAf8N1ZjU4IsWBt2d7Gj7ftI2mUYPozlDVc\nTkUjBDxpGqOjfPDu2/IdoriInEya7pMdpFwfJbUr6O/YQ6K4gkAgzFtbrqRIJkEIcVbn6qH7AIBS\n6ilgndZ6MHe7BPjR7IcnhFiILMvm6RcPcqJvDNfw4QtGGR/sxGMYpD02Gze/Jd8hillwuitA/OqF\nfcRsB4+bJh2P46QSeDxe6pevIz7eg9drU+QdkyFWIc7hXBW6KbXA8LTbk0DNzIcjhFgMfvjjbbyw\n6xC2laSgtBZch8TEMB4jzZXr62WodQE5dbJD8+pN+CN+RuI2937q69Q2b8B0U9hOiPHh40TCxaRi\nnQQKopQUeHnn9W+R67MKcR7ON6H7CfBzpdTDgAm8B/ivWYtKCLGg/WTbblL48XhdrLF+DFx8Xg9X\nv6WBT3/iD2VobQGZfhmvCaePg4fbcdI2R462MxRzGdy7n+GBLsrrLqGsVlEe9TDQ382S8kI2rFbc\ndsvmfL8EIeaF80rotNb3KaXuAloAF/ii1vqx2QxMCLFwDQyO4vFFKVuyjsnRHnDS1BYm+PtP3iPJ\n3AIwvSr3ysFjrF5bjM/nw+916eg8QW3DSgaG95JMO+AtoKCiGW+kgow3TVF5IRvXNvH+d8vVQYS4\nEOdboUNr/UPgh7MYixBiAZs6yQ+O2oyMjeEJeohPZJekcBIx7njblZLMLRDTq3Kup5fDx7u4dOVS\nli1tYO/Lexkdt0inHfyhYjKpFE4mg5NJEioIk0g5ssacEG+A/F8jhLgopk7yh0+MUFhSSSAQxB7r\nxhrtosg3KkNrC0jMdjCM7NUiL12liI+eID3Zx8lj+7j00kspKinH9Jgk7RjgECmqJD5ykmSsG3+i\nSyZACPEGnHeFTggh3oyY7ZDxJug40Ys/UIAXD2VlJZiOze0tK6U6t4BEQyaW62IYBn5/gGs2XsKd\nt17H9x6GjLeI7q2/oKCwHNMXJBMfwx48REVphNtvaOa2WzbLZ0GIN0ASOiHErBscHOaxn2zl2MkR\nDG+I4uoVuIkRTCfO8uqAzGqdR05deqS1ZePrErDWlo08sa2NmPWb5Uke+dnTvLzvEMHiJdx04w08\n+dR2gkVFLKlpYnljDUXeMZnNKsSbIAmdEGLWTJ38//PRbXQNpzGDxZQvuYzJ0V4CvjBOfIj77/1z\nqcjMI9P74yzX5Yltba9LxEKhEHfeeh2WZfPY1h388Se/RsJXQdIahUw3RwsDvL1lLYFAgETGS1TW\nmRPiTZOETggxKyzL5u+++B06hx26h1Mk0g7+YBSvP0xx1TKc5ASNNYWSzM0zMdvBG8n2xxmGQcxy\nzrjv41uf5Ue/3M/JoQT+iE1hhSIS9BEwLaLRqFTkhJhBMilCCDErtmxv41ivBYFKRga7ScdtvL4g\niclREtYY9lgfG1Y35DtMcYGiIRPXdQFwXfeMM1Ity+aRLS/QcaIP1/BjeoMYppdEMg2uS8w+cyIo\nhLhwUqETQsyKmO1gerycbN9HSfUlDJzcx+RYL9ZYDz6vj8Zyv8xsnYdO7Y87dah0apj9mbaDnOgd\nwuMvxusNMjnWiz9YgN/jULOkUpYmEWKGSUInhJgRpzbLBzxpaqvL6BkcAwMaLr2e8b6j+AN+GspM\nvvbZj8hw6zw01R93Jo9t3cFOPUx7r43pC5FKWoTCxXjiJuO9B2iqLeHypkbpmRNihklCJ4SYEac2\ny6fjRzHsYUZ726lZdSOpiQFKK+txxo/yzS9+RpK5BWRq8kPb3nb27D/OEnUVvkCIgmg5rsePkbEp\nKC3hsqVhPnXf++W9F2IWSEInhJgR05vlk8kETzy1CzNYSs3SS7EGj+L1+XHtcd71tuvlhL7APLZ1\nBz98YidJfyWTKS/DsRSF4RIKMmlG+0+wfs0KNqxukDXmhJhFktAJIWbE9MVkd720i4EJD5kJC1yD\nsvrLKI4GqCz2UltVkO9QxQyyLJtHt75I/5hDaX0Zwcgo9uQYRhpWNzex5qaVvPf2m/MdphALnnSl\nCiFmRGvLRsLuIOnJPg4fOUoqmcQ0/UTKGxgZ6GCo+4hc1mmBsSybz3/tIYYnIZlKkkzGCUYriccG\n8CT62NAckYkvQlwkUqETQsyIqWb5wcFhvvG9R/FE68lkkox078dw0ixfVsv9994tQ24LwPSZrN0j\nDoVFxYyMHCM23IXX66cgEmR5rV/WmRPiIpKETggxYyzL5mN//c+kHC/JiWFKqlcSJk11sY8brloq\nydwCsWV7GyPJAk70W4xbGcKFlRQWFeOQIuIzWNlURfPS8nyHKcSiMqsJnVLKAL4OrAPiwD1a62PT\ntr8L+BsgBTyotX5AKeUFvg0sBfzA57TWj89mnEKIN2d6xaZrOEPVsvX0dbzCUNcrmG6K9910iwy1\nzmOWZfP9x5/kp0/tIu16mJyYpLC0CitpUFazjJH+TjyGQ2NDPddftRav10vYHcx32EIsKrNdobsD\nCGitNyulrgS+lLuPXOL2JWADYAPPKKUeBd4BDGqt36+UKgF2A5LQCTGHTVVs2nvGmYiNETX81DZv\nwmO6eMb28r733JrvEMUFmr4USdf/z959x8l91ff+f33LfKf32d6llUbdRbJxxQ1jm4ALLbRwCT8C\nF2648DM/EhKH5EcIhEcgxCEJ5AYnkALEYOxgB2KJGEtYsmR7JatZ0uxKq9X2Mjs79Tsz3/mW+4c8\nZrEN2NjStvP8x4/VaOUz9fuezzmfcyZmyBSqNPdeRnriNKbmJ1tyaGrrITt9hkjQQ6IpwRXbmqka\nGXzKCzccFgTh3DrXge4q4GGAVCr1RDKZnP8OXw8MpFKpPEAymdwNvBb4LvC9Z/+OzNnqnSAIi9jQ\nyBTf/cG9VG0Xmj/O9NAB3B4/ci3P//O2qxZ6eMLLlE5n+PiffJW0ruEOJJiZyFOzQJnNUjMsgrFW\nZs48DS3txONxrr18E2E1J9bMCcICOteBLgTk5v1sJpNJOZVK2S9yWwEIp1IpHSCZTAY5G+zuOsdj\nFAThFUinM3zr+ztQg+0EvCEc28TRayhOjYs2dvL2W8WWFUvN3ffcj+lpQ6rpjAweQVa8IEvIigfD\ntHCQWN27lsaQiWRVCas5UZEThAV2rgNdHgjO+7ke5uq3hebdFgSyAMlksgO4H/jbVCp17zkeoyAI\nr8CX/v5eVH8DjmXiAOHG1YBJ3GNwzWWdohFiCSpUZcxqiZmxITR/HM0TRFFcTJ7ah6q6KFZGuOXW\n19EYD3DztdvEcywIi8C5DnR7gDcC9yWTycuAI/NuOw70JpPJCKBzdrr1i8lksgnYDvyvVCr16Dke\nnyAIr4Cul3n6xARGVccXbsWxTWaGDqIoJpsubBdVmyXKp9SYnBhH9QYxSnOoqodQvJ1EUxshtcgb\nr+wU06uCsMic60D3AHBjMpnc8+zPv51MJt8J+J/taL0T2AFIwD2pVGoimUzeDUSATyeTyT8GHOCW\nVCpVPcdjFQThZdD1Mn/65W8yly0Sa9tIeugQkqoiOTU+9J7X88433ygqN0vE/AYIWVGp6jpI4Pb6\nCTV0kpvoZ+rUJImQh9tuu1IEdUFYhM5poEulUg7w4ef9cf+8238I/PB5v/Nx4OPnclyCILxy9z30\nKHsOjeDyx9CzU0Sau5FNnffdvpX3vv0NCz084WXYvquP/akManQdSDCTPkbQp5HoXEMmPUaiqYOo\nmuHrX/qECOmCsEiJjYUFQXhZ6nvOfeO+R6nWXMQ7etFzE0jYNITgbW+6bqGHKLwE9eexULY5emIQ\nw/HikyQAHMdi9ZoNzE4N4FVceCjwlc9+RIQ5QVjERKATBOFl2b6rj6mCylxOJ5DoppSdRFHdVPIT\n3PHm14qL/hJR3zvwxMl+jp8cY2Y2S3NPDVWGjsYG/FKOS6+/hKBXFo0PgrAEiEAnCMJLlk5nuPfB\n3Zwem8VBQvNGqOqzOFYNpzLHbTeJPeeWAl0vs/fpk4zMlPFFOyiVq/jjq8hMjeLSNJRinm/+9adE\niBOEJUQEOkEQXrIvfOXbnBqeRvHHUew8hp5F1bw4ZoWrtq0TAWCJ2L6rD8NSyWSLVOUSpbJFa3sb\nLrWdgM9NafKweC4FYYmRF3oAgiAsDcMjY/zkiWNo4Rb07CThpjVUSmkco4TPTvOHH3vXQg9ReAl0\nvcxjT53gxMlR9IqBaUvUamUcx0aWwHEcsCoLPUxBEF4mUaETBOEl+dTn/hFbcmGUCzStfg3ZyX5U\nzYuPOb79d39ALBZb6CEKL6Le/DA+lWXvU4co6DXGpzOEGtcQaWxGz03gdSnMDj1BU2MLZbnGG667\naD3OgVEAACAASURBVKGHLQjCyyQCnSAIv1I6nWFwoojjWMiKSjk7gccXQbaLvOXWG0WYW8S27+pD\nlxLs3LebQi3I9NQg/mgHhblJPIEYHm+A9ZdcTliZY+3aNc81QQiCsLSIQCcIwi+l62U++kd/g14q\n4I+3o+fT+FtbsM0yl2y+kERErLVajOqVuZ1PDhCK62RyOpI3gMffgKy4iXdspqZP45IdworDXR97\nt1g3JwhLmFhDJwjCL6TrZT7/lW8xmrEIxlvQ5ybBMpk5s5+ElmPbmoCo5ixS9cqc2+vHwEvNtJBk\nBZfHi8vjozAziCrZbOn2ijAnCMuAqNAJgvALPbhjN4dPzZBNT9Gy7moUlx+X5kYuDfGvX/mkCAGL\nWKFso/ol1q9LcvxEikjARbGcJpJYhZ6for0pSm+LJsKcICwTItAJgvCidL3M/f+1j9HRNMGGTuYm\nUrhcXozCBB9+17UiBCxS9XNZf/Cjx6g4QUKhIK0NId5y8yW43e6z57U2xdi6sZNbX3+FeB4FYZkQ\ngU4QhBf10I7HmciUcQcbCMY70XPTyDIkwhHefusNCz084Vnzj/AKemUMw2B/KoPib0FTQhhAVnfw\neLz85m038I7bF3rEgiCcCyLQCYLwAul0hm/e9yiGCaaRR231Em7owq2YrG8oiqrOIlJfK2epVXb1\nHeF4agDVG0dWXSRa4uCYJMIqVUt83AvCcibe4YIgPKc+XfcP3/oRxZoXzRdGdVtM9O9Bc3vpaXJz\n510fXehhCrywi1UvzDKeLlKTfJg1G7tawatXCPlUXAoEvaIHThCWMxHoBEF4zoM7dnPfw33kygre\nYBiQsE0Dj9fPay9q408+8T5RnVskftbFOk7JkDh6bIBcvkysfQOV/CSGnmfsxAgdWzeyubNHdCML\nv5bnT+nffO028RmwSIlAJwgCcPaD+7sPPcbwZAkHCCS6KOcm0TQvruqICHOLiK6X2fv0SSRfCcuW\nOfzUoxRKJpLLi9sbwuMLo0lVOoI5vvTpDyz0cIUlrP7FQfVLzFXK/P9f/CaWpCIrqmisWWREoBME\nAYBv3/9jTo3O4g02IasauanTqKqKQoF33yG6WheTh3Y8zni6DN4iIwNHUb0Jgm6ZWk1nbvoUmuoi\nFpDZdkVyoYcqLHGZXJWh9DAlvcLxo09Tc1Q8vhB+f4DxXSkcx+Ydt9+40MMUEIFOEATONkF8/TuP\noLqDyKqG2xelUpwFu8prNjfytjddt9BDXNHqaxv7jgwhKyojo1M0r7qYY4efRPVFsUwDv99DONFO\nJT9BOOBmVaPCbTddtdBDF5a400ND6Fonhw8dpOp4Mco5Ak2bwCWhumX6jgyJzulFQgQ6QVih5q+N\n+a8dO6mYNi5Vxu2PUy3NIknQHrH44zvfK6pzC2z7rj72pzKo0XUgQebECK5sHklx41gmvnACn1Ih\nO3mMhoiX267ZKKbChJctnc5w9z33U6jKBN02d37wzXR1dfKTPYcxLAlVc2OqPmwHjJpF0KsgKyJG\nLBbimRCEFWr+dhej6SqWUcEXaSE7cRzV5cXSJ/m7r31RhIIFUg/c6WyZR/ccxHB84DHwerxIksLE\n6SOonjDhSCuGPoXL7eE1m9rEyQ/CL/TLGhx0vczH/+SrqIktqKqM5g3w5X+4n60XJGlq7SSTP4W/\nsZ2JUwfQcxO4ZIeG9i4u7Olc4Hsl1IlAJwgrVKFsk9On+PfvPkCxauGPtlDJz6B5ghj6LB/5rTcQ\ni8UWepgrVj1wD4wcpqYEGBpIEevYQlE30UKNVGdPsz65mpmpMWKdTbjsgghzwgvM/2Kwa/eTNPdc\nhNej0tEc5XN//S3Wrl3z3IbUuuNHrVrUCmWGB1MENItN6yp4nTlCIS/lwjitHV2UshOs723j0mRI\ndE8vIiLQCcIKpOtl+vsHeOTxo2iRHgJGiUopjywraIrJVZev4z1ve8NCD3PFmt/FOjaVAwcU1Y1R\nLiArKorLIujT2LplLZKUxHEcfE5ahDnhBeZ/MaiojaRODuJ2u3n0ke10rrkYcyhHrVJkdGyM6YkJ\nmkOrKeZm8MVWIZszWJ52LtgIF2zkuTWcW2+4WkzpL0Ii0AnCCvTQjsfJVb1UahKqbRNsWI3mnsI0\ndK65oEFUehZIvfnhgYf3Uax5iDUHSE9PYcp+NK+fxrbVyJKDV5OIMIHPSVPQfzZ9JqxsLzalWijb\nqH6JmiVTmJsm1LqJYnoYxd9Crmyxd99+Ym29GBWHWHMPM6f3YyOhuVR6elqQJAnD1njvm68RzQ+L\nnAh0grACPXF4kINHh852R0bbKOcmkWUFuzTGXR/7uAhz51k6neGLX72XvqODOK4wmicISKQO7yXa\nvJpqZhhfIIaemyIajSCbVS67ZDV33HL1Qg9dWCR0vcznv/ItDHcbslOjVimy9+mTyHYFKVBkcnoG\nxR3CNvKUillULUC1mEULNYHiJ9GymunhI3T0JJFqWZo71+FRqjiOI04ZWSJEoBOEFSadzvBE3xEc\nTxP+iIeZ0wdwebw4RpEPvO0GEeYWwN333M9wTsUTX0OlWiU9M0Lz6ksJ2gqheDvNcT+xgMLIyDAt\nfuW5DV2Flev51TjDMCjaIbxakKHBE/jCTSRCMSqFGdLDZ4hHwsxOPoM/EaeoSTR0rmJs8Bkk1Y1Z\n02nq6iAWvBC/k6arq5czZ07S09ONz0mL6u8SIQKdIKwwX/r7e0ELUcpN09hzMeX8NG63RotP5T1v\nvXmhh7ciFaoySDI4Ono+jS/ShlktYRpFjEqB7o5GLtzYw2u3douqnAC88ASH//7xj3FcAXymF9uR\nsW3QVImSLWM54NI0Nm5cj1PLEe2KM1saJx524w61gpHBKGgE5LxYbrGEiUAnCCtEfX3WY/sHqVoy\nkea1zI0fQ3F58FtFvvKXd4kP8vOo/nzs3T9A36FjeCI9hBs6UOdmqGTHCQVDtLd3UNMzSNUaPico\nKiUr1PxqnFMrcOLkGAOjeSKJNi7fup5Ufz+O6qe1Yw3jY2fIpscJ+Nz0dm/hv04cwd+QxBOKYjs2\nrmI/d33s3Ty882zn65kzw6zqWUc05Obma98kPgOWMBHoBGGZ0/Uy33voEf75e/9NqeaiXCkTaVgN\njkkw3olZmuatt98ktig5z+qbBU/kJcLtW0iP9lPMTuCSalx1+VVI1LAclUDUy10fe4e40K5A9SC3\na98RClaYWDTKkUN9tKy6CFlzGB2f4V9Sx9A8HpqbW6E6Q3MiTKPP4IptzVSNDK2NYTxhBatWRFMl\nenq68Xq9otK7DIlAJwjLVP1isKfvBEcHxqipUfyhBsyZEYpzE8TakiiyQ0uih0REhIVzbX6VRZMN\nnjpyhrFZi5mZDA1dWwiEm/G7z3avXn1h87xORVE1We6e/9qQJJm8bj23b1xqOEtT9yrmdBNH8VMq\n15AkMGpVQi0boDKL6ovjC3pY19uJz0k/F9iCXhldSiBJ0nPb2wjLkwh0grBM1dfYGAQo11xYloVs\n1vCF4oBNKXOGSMBDZ3tUTOWdB9t39TFnBDhy7CgHDx+hXHXwheJUDAOjZuHRZGQZFEkS1ZMVZH53\nqtslk0tPkMnrVKtlSkYId8nCsqBQKFApTFLIzqAFW/CpGt5ABL/HRXv3esaG+8lLHnyrfT/3fr75\n2m08vLNPbG+zAohAJwjLVH3/qfHR05T1IpovhuLyUqvkcGolului3H7TJWKD0POkULY5cbKfsZki\nuqHgT3RTKUxRzqdJn3majvYWIoEQ2zZ0L/RQhXPgFx27tX1X33PdqTUcUoMjtKy6EKs4i1PNMTk1\nDZLK+Kmnae5eT+eqEHPTA1TMGm5fmLa1vaguF6tXrWJrr/8FXwbE9OrKIQKdICxTbtnkiQNHOHl6\nDG+4mcLsMEpORZVs/vf7buYtb7xWBLnzoN788MMd+yhaQUqlIo4D/nATgUgzdkuZ2vQhbrl6vaig\nLGPzu1J1x+HhnX3cccvVFMo2smMwMTmJ7chUqhay5CA5Fo4DVT1HJBKhrGcJeRU6Wxvpve5ijMIE\nQa9E35FT2IrK5o2d4rWzwolAJwjLlIPN4YN9yC4v8fZNJDolFCzU4gne87ZbFnp4K0a9+aF97WUc\nPfgE1XIZSVawrSqyJCFhsiHZxXvffM1CD1U4h+oVcwDDqPL0oRPPna9advxULQW/P4BbtXCqOZqb\nEszNTtHW2k1na5yu5gCKJ8r6NV04jkMocrbyJk5vEOpEoBOEZSidzvAf2/vIVyRkRSWfPoOiathG\nkcuSopv1fKhX5u7fcYBCVcUXrhJrXkWx8DQ4DuW5ITxuL5GAxGsuXLfQwxXOsaBXRnccDKPK9h3/\njSfcxti+49TkGNOT4yTa1uD3KrzuzbeSOnaQLb2d+OxGejduQtM0KpVGBo/vxyz5RCVXeFEi0AnC\nMlIPEf/4ne0UDQ2zViXRdTHZyX5UzY1TmuD3f/ezCz3MZa1+jNcTh/rRqyCrGqYNzaFOVEVj9cbX\nYMwcob09dvagc3Hqw7Lw/DVyr710Iz9+bD979w8wPDZONl9CcXlQsIk2dtHY3MrBp04TbdtIKGYR\niTVhVzL4/AGu3LaOO265mnL50rMNDSWbqFcWm/4Kv5QIdIKwTOh6mT/98jd5un+WvKHh9seoGhNk\nxo6ial58So3f+q1bxH5z55Cul/noXX/DeF6hUFEBh0TLRrKT/WQnT1J2yVy4voN1G6/kd975+oUe\nrvAqebFzVL/70GMongim4yJdVIl3X4NHkynNjVIqFZElGVlx4TiQaGylkhvFrszhczqeq76Jhgbh\n5RCBThCWie27+jg5XiZXqGAaFppPorFnG5X8BEG3xAWrg7z91hsWepjLUr06s/PxIwxOFJHdIQA0\nbxjNG8IbbCAYa6EhYHPxRReIvcCWmQd37KZ/rITqyzEyeIRE+zoMw0vA40GvVlA0L5IkYTtg2xbB\ncCO2Po7XZWPpkzR2deBu9LO5s0cEOOHXJgKdICwDul7msadOMDwyii1pxLs2kxl9Bj07iSrX+MB7\nbxJdrefQ9x56hAd+fIChkUkkxY1LMXF5A8iqi0pxFpfbR2nqBMl4qzjsfAmrB/efHZnVjc/tcP/D\nT1CyQxilKTzhNhzZj6xkn+totowyjuMgSxLxhhbsuRNs6r2ai9fGkCSZqqWKdXHCKyYCnSAsAw/t\neJxjJ8eQXF7sagUJh0THJlyKTW+sJLpaz4F0OsPd99xPoSrTt/8gkieKL9SKpKiUslNIMgRiHVRz\n44SCPrZsauKP7xRroJay7bv6mCqoPPDgTjwNazk6ksJlFZnOmiQ6WiiODYAk4/WH6V2bZPT0MTBy\naAGTwsgeXPEG2trCfPLOj4ilD8KrTgQ6QVjidL3MfQ/vQ7d9WOYsOJBPn8Hn9RKLaaKD8hy5+577\n0bVOZmZGsGQ/Mi5cHi+qO4RtGViVPD5rik2b1nDplh6xgfMSVG8y6jsyhKyoVMoVjp0cxvG2Ibsj\nFNI5ZMmDz+/CtgwUVSEUbcMvz+FUXSTbA9z1sQ+J5104L0SgE4QlrN4Icer0BIGmXhq6t1KcHaZS\nmKapUeO2azeIDspXWX3a7ZnBWUq1HOHG1UjSKYxKkUhzL5XcFIFgmKZGma9/6RPiYr4E1YPcAw/v\no1jz0NSRJOz1cOCph0GLodkWjiPhoGBZVZo7ujDLOeSQD685xPWvvYxoyC3O4RXOKxHoBGGJ0vUy\nf/T5r7Pn8BC2pGKbBpmxYyiyTEAz+ccvflRcTF5l87sZZ2am8MR7sRyJhq7NTKT2MHd6L+FIlM2r\nGviDj35EPP6LzC86fmv+7fODnOSKg6agGzBzMkUw0c1ceoxwcy/56UFqlRyxRIIGv4HlCxKQHe76\n2AfE8y4sCBHoBGEJSqczfPSuv+H40AyaL4riqiEpGr6AF9kx2NbbIC4qr4L6Bf6Rxw5xbGAIW9bw\n+OO0dwbxBJqYG0+hqi58boUrrnkd114QF12Ki1j9+C1LrfL44RR7n/53Lt7QjiTJpOd0Htr+UyxX\nlJrtRtW82HoVWZHx2Q42CqpssWrtBcxOnESVFBqjDm+8bjW2Ut/sV1TkhIUjAp0gLDG6XubDn/oy\nZ6ZryC4vmi+MbRkUZ8+eBrGm1cfv/+5vL/Qwl4X6sV3HBqdIrH0dxcw4pbkJ5srg9gfpbLgSMz9E\nZ2c3AdLcfO1NCz1kYZ7nV+Tm8lU8EYnjJ1LYrhjDo5P0HfxvVH8zmenTBBOrqeo53D4/NbNGMNpG\nKXOa/PghqJXZfNElOFaFxvBaAnJebPQrLCoi0AnCEvLcmrnRPKo3imXk8AYbKBdmCCU6cVVG+Ke/\n+j1xkXmVFMo25YqJhQvbsTHNCu5AnEJ6mIZ4mFL6GKu6WrnmohZRnVmE6hU51S+hOw6p1E6q0gTP\npAYxLBnLsjEtDa3moPmbsR2wLAtvpIVieojC1DHcssn7f/M6brz6InY98cy86VrxfAuLiwh0grCE\nfP8/d7Lv6BQWEj5fkJqhkxk9hqq58fsl3vWW68VF5tdUP7Lr1FgGWYLWhJ+x6RyTmSpGtYzjSPij\nHcwOHyTe0Mr6NV2s7rqMsJoT06yLVKFso/olAAyjyqnhKXQ7j6MGsGplbBQcbGTVjVmaI9y0inJ2\ngsL0IG5N4oKNa7lkQwO/edvZDbnF8ywsZiLQCcISkeo/yV9944eoniiOZSHLLjS3F9OooFhF3v/W\n3xAdra/A3ffcz+CsQ5ko+dwsE7ki3as24KmeRPVGGH/mEfzhGD65yFuv6UD1egiqObEZ7CLx/E1/\n21tb2P3E08TbNpCZnaRcKlGVwgQjYTR/gv5Dj4HiQfMFKecm8UVamDmzn0gogGrNcseN19MYD4jn\nV1gyRKAThCUgnc7w7v/1BdCiaN4QNaNMcW4cze0lEfXyrjde8lwVQXh56kHgxJk5ZrIlGru3UrMk\nTMuiWoOGRCNasJGmrVvYsq4Ln5MWlZpFqD69OjByGCmwll37n0YOrOLAgT4aOjZgWFWCgQCFUhFf\npI1ooplibhYZA1W2MbOn6W2PccdNl4o9A4Ul6ZwGumQyKQFfBS4AKsAHUqnU4Lzb3wR8GqgB30il\nUvfMu+01wBdSqdR153KMgrDYpdMZ3v6hz2C7o0iyigOoLjdmVSfsVnj/W28QlblX4MEdu9l3ZJKx\nsVEcLUrVqGHbJo5VwwFa2juZGhnA0bz4HL+o2CxShbKNpVY5MzKJO+xifGqOng1JQg3tRGINTOUn\nae3oZvj0MYqTRwlpFTZtasWSVFyam60bO0WQE5a0c12hux1wp1KpK54NaF9+9s9IJpPqsz9vBcrA\nnmQy+YNUKjWTTCY/CfwWUDzH4xOERU3Xy3z4979MpgS16hyt664hN9mPovmo5if4zt9+Whwh9DLN\nn5o7OXCKvmeGkLyNNPRcwvhAH/n0CB4VogEbKZ9CibTxpmuS4mK/gOZ3q2qygSTJ5HWLkwOnMGwJ\nl+ZGcQwMKYis+VE0HwDlchXZsXAch2gsgVzL0NMS4vKLel+wB50gLHXnOtBdBTwMkEqlnkgmk/O/\n2q4HBlKpVB4gmUzuBl4LfB84CdwB/Os5Hp8gLFq6XuYzX/omA6NzmJaFL9LMRP8ePP4opewgH3nX\njSLM/Rq27+pjzgiwY9ceZvIWFcuLX/agaEG6N15JOXOG3s4Y1166Rlz0F4n5+8f9x47/xhNuo1qc\nJpOroPoSeDwaPsXBLA3T0r2emalBokE3hakTdHe0kJk+SmtjmCu2rBbPqbBsnetAFwJy8342k8mk\nnEql7Be5rQCEAVKp1APJZLLrHI9NEBYtXS/zh5/7GruPTODIKo5pY5kmbk8I27Fpjgd4/3tuX+hh\nLhn1Cs/QyBT3/WgPpq2C4sYfaUaTq1TLeYxqGZ9bYcvm9VyaDIl1cotIvVv1+IkUuONYksbo+Awm\nLhriMRS3i6pZQWGSrVvWIklJKpUyg8f3s3ZtF0FvjwhywrJ3rgNdHgjO+7ke5uq3hebdFgSy53g8\ngrAkPLhjN48fHkH1xKhVp4k0rqaQHkLzhXD0af7l7z8jLk4v0fzjuvbs3ENN8uKNtlIpzmCaNQKx\nNsrZUfITRwk3hbiwZ6tYJ7cA5k+rOrUCR44NMTSZQ3O5aGvws/HiKDVLRsJibmYMFDdOzQQkaqaF\n6tg0xiP4nDQF3SbqlcXGv8KKcq4D3R7gjcB9yWTyMuDIvNuOA73JZDIC6Jydbv3i835fOsfjE4RF\nQ9fLfO+hR3jwx09yZjyD6SgENB+aN0K1lMEXThD2OrzrXbfT1ta20MNdMh7csZv+sRKecBnD0fBF\nmjCrBVSXB9OoUJg8QcCnccEFbfzJJ94nAsB58vx1cYeeGcTydSI7Nfqe2gtagnjrJjSPmyl9Avcz\nT6KYDp2tjQwODmK4NYxygcJ0P7Ks0BTTuHzrOlFZFVascx3oHgBuTCaTe579+beTyeQ7AX8qlbon\nmUzeCezgbHC7J5VKTTzv951zPD5BWDS27+rjgR1PM11QUbwJqvkZHMdCwsGyDFxWRew19zLUA8O/\nP7SH6UwZT1GiXMriCTURblxNMTNMOT9Fd2cDt924VTQ9nGfzT3HY9+RTpE7N0tDewOzkEKYUxOXy\ngqRQqRq4ZA9r17bytlsu5eGdfVj6NIqvkXJxjompWVyyxW3XbhDvDWFFO6eBLpVKOcCHn/fH/fNu\n/yHww1/wu2cA8e4Ulq3nnzM5NVtkZDJDqKEXs1ZB80bJTfXjC0Vo8MA//eUnRGXul0inM3z+7n/j\nwPHTGIaFZZs0d29hYjqPI7lxWTZuT4j89GnKc6N4fR6u3NLGn9/1IRHkzjFdL/Pgjt30HRlCVlS2\nbuykVHHwRM5OwoxNTiNrARTNj6QFqM6mUT1+HAccx0FTz75HvF4vd9xyNTdfu42Hd/ZRKEcIXioa\nHQQBxMbCgrBg5nfu7eo7wlNPPUHNAMuqEYh3UMpOEIg2c/3FLWIt0Etw9z3388xwDtnfgaRVkQwD\nS2tA9UzhSAqhRCfheBv63DARr827b71MBIFzrP6lZU/fCc5M5MiVTEqFArv2HiHoU9m4+WImJoYZ\nn5wj0rIWfe4MRjFNNNGIRy4yO/QEmuJw621X/ty6xnqwEwThZ0SgE4QFUu/cO7D/AAePnUL2t2Lm\nBqjqc+iFaVRFJSDluetj/58IHS/i+Uc9HTudwbAVamYZzRtFN6ZAknFpfkqFGRzbxO/zEA/30uaZ\nEYHgVfL8SvPN126jVCpz9z33c3RgFBMvmqYxOjaJP9KB4nPhD8RxzAqP791D1/qrCUdVNJeGadtc\ndMFG5Mok69df9Ny/J17/gvCriUAnCAsk6JWZys2x98kD+BvW4DgWrcmrSA8fJBiK4lfK/OOXPiku\nZi+i3rlakhIcOfgkuBuYGR/C5QmjKBqKVsPlCVBID6EoEiGfRGX8SfwNTTS3hrjzg29b6LuwbMxf\nC6c7Dj/Yvpv//PETEE4yMZOicfVG5tKDyKoGioJZKeD2R8A28ektyIrMho1bGB89g1HJcNmGtdx8\n7evF614QXiYR6ARhgWzbvIrf/NCfYUleHBz80Tb07AShaAuvvaBRTLM+z/xKUH//AHnTT3pulmIF\n3C6Z5t4rmD1ziEJ2AjBRpRqq20VDNMAdN90omh5eRel0hrvvuZ9CVWZmJs0Nr7sRWT67T9zgqZMU\nqyqKOYPLG0aSXfhjXRRm91JVM1hmDRwHVZFwzAq2ZePSPHT0rMFV7BeVU0H4NYlAJwjnWX17kr//\n1//CVKPY1RKKy09+5jQSMm4zzV0f+39F+Hie+gkPJ072MzCUJ1+YwB2IY1omXlnF4wvSvuEqzOIY\n61pdbNm4VkzZnSN333M/tcBafEGZWqbCAw/tQFPBcSeoWj7KehZNDaJ5/FT1LJoCq9dsxNFHmM4U\nKU09Q2MixsY1HWRnj6OniwTdNnd+8M0LfdcEYckSgU4QziNdL/Ppv7iHXU+dQvU0YOo5fOEmipkz\nuFw+zEqa33n39SKAzFOvzO18coBMvkJz1wZ0fYBQU5LM2DPIQDE7hi8YRsIiEQly5bZuUel5heZ3\nplqWg8flsKZ3NdGQm5wObrfB6aGTjA4N4o20UyhlaepJUKuWaO3ZxMDR3TR1baKSG2HN2lVE3CZ3\nfewPAZ7tUK2vuXuPeL0LwqtABDpBOI/+4V8f4JF9A8iqG8u28IQaMPQ8jm2h2AZXXdzF22+9YaGH\nuSjUA8W9P/gpJSLkMpN4go1U5WkCkQYMfYqGhgasSoZMJoORPkYiGuJ1F18gTnp4heprFE9NVvHF\nOsnPjlA2TAanU0hWmenJMfCmQdbwxroJx1vIjGaRgGhDG2Z5js62BjZ0SqzquZxoyP1zlVIRtgXh\n1ScCnSCcB/Vp1nvu/QmaN4ZZ1Yl3bCEzdgzHtsAq87vv+w3e8sZrRbXiWQ/teJz/+MkxzkyXCMSi\nxDq3Mjf6DLl8Hs3KsW7zpXiUKut6O/E5aRESXkXbd/VRtEOg6jiSxnR6mljrRsZHjpJoX0dNmkOq\nVZFdKpJTRVUVvP4QxdkhIkEv7Y1htl7dxTtuv3Gh74ogrBgi0AnCOabrZf7o81/np33HUd1+JEXB\nskzmxo7j0rxIVoXLN3bwnrfdstBDXRTS6Qxf/Oq97H56EAs3kqQiK25UzUOscxPlmX5Wr2rEXT5J\nT083PictKnKvsnS2zNT4MNmyjKmEAJXi3DjeUBOaJ4gn2IRHk7Bth1hjN5npIUJ+Dc3Kcv2lG5+r\nyAmCcP6IQCcI55Cul/nU577GridSeGMdlCZP0dCzFquqU9WzmIaLGy9fyx989J0LPdQFNf8c21ND\nY2j+BpBcyKqGZJmUchNo3gAyNl1d3dx4pVgj9+t6/v597a0tjI5PPPffVT3d7Nr9JE3dl2CNniY7\ncYJaaYqA3weyBI6F2wXhWDNWaZxKZoCwZnHbDeL4NEFYSCLQCcI5Ug9zjz6RwuNPYNWqJLouTrnV\noQAAIABJREFUJj18AE8gjlMq8G9f+gibNm1a6KEuiPrWF5mixeCpk5h4wJtA9VXwRTuwamXKxQye\nQBw9O0Z27DCxoIfXXX+VqP68AvVu4R279mC4Gnn8yNN0rdnM6adP0756C6dnykSbV1HMz9LT0422\npoe2kMno+AQlKUF6eoxYU5jCbIobX3vZC9bHCYKwMESgE4RXWT2oHDw+xNDoDJonhINDKN5JfuY0\noVgHYVeR7/zzl4jFYgs93POuXiH69x/sRAmv5kz/ARRfE0ZVJ+h3IaHg2CaBeAeyBEZplnWrWrnt\nRlEBernm7xfnkapsXt/N44eGOT08QdGQCDf5MUxIZ/Lo2RJtqxwMy8HrVvAGQlywvhvHcfA5af7H\n265/tjs1+mx36tvFcyEIi4gIdILwKrv7nvvRtU4mZ46geUJYZpVAopvc1ElUzYtSmeY7X/+zFRnm\nAB7csZuf7DvFqdE5GD+EP9qJjIOl5zCM6tlTBID8ZAqPR+PSC9v50997vwgPv4b6fnEut8H+vp/y\nVGqWqp7FG+3EKmcoZSdR3H4ULYgkqcxm8rTGNXp61jJ4fD9myfdze/mJaW5BWLxEoBOEV1E6naHv\nmVFqch5ZC1ArFwg2rCI3eRyXJ4SVH+X+b35mxYa5dDrDN+79CTNZHcUdRNV84Dh4wk2Y1SKF6VN4\nXDL+gJf1G3q4/KI1oir3a6hv+bLv0DD+Jh+l7AQlQ6KxYz3u4hSlYg5FcVGrFAjGWihMnyAW9lGc\nOEjPusuJakVxUokgLDEi0AnCqyTVf5J3fPjz4A4TTESxHYdIyzpyEyk8vgiqOcd3v/kZ2traFnqo\n5019enV8Ksvepw4xPp3DkAK4fC4izUnGUrtpXnUJhZnTtDQ34Y47fP1LnxBB4iWqN5P86NGnQfHQ\nkfCyfk07O3YfoVjzkM0X8Lf5cGQvklTGdixkGeItqymnT2EaBbwuh4u2bmHtqnbCak5U4QRhiRKB\nThBeBan+k7zldz6LFmgg0XUh06f3E4x3kp9MsWpVNz65xFc++9kVVZmrb05bkhI8te+nNPVeSU05\njqb5KEwNompe2tZeTn5qAJdUI9ncwJ0f/IgIcy9R/fF96ugI/uaNVAtpnkpNc+BkhkRTG1LFIhiT\nmBnaj1mroro8yJZOMBwlnz7Nxt4GLtm8DUmSqVoqQTUnmk0EYQkTgU4QXgFdL/Ot+37E3f/4IJ5w\nC2a1jMvtp2XN5RQzo/j9bn7r1m0rogtw/tYjc/kK5VIeV6AJ1T0LWhwbFdOsEm5ai1HJMXniJ7g0\nH6taA3zxj/7niqpc/jL1qubPjsY6+9qpT6Pu3T/A8Ng4k9NZvLFOajUXVmaSYLwTzQLHNinrOo6j\noKgu2nq34lMtqvlRJHOc9nALW6/YJqayBWGZEYFOEH4N9SB3z3d2UKpYeMItVPUcmjtIZuw4qsuN\nWS1wxcb2FTOF9eCO3fzzfTspS2EUNYCludHcESRVwyxOUjMtmtrXMTt+hIBb4dqLL+TOD755RVUt\nX4rtu/rQpQSqX2KuUuZzf/0turo62bX7SWpKhHzJYC5j4omvxXJsDKOA6pUBCewakm0SjndRLc5Q\nLabJn5mkc8NqLr1hkwhxgrCMiUAnCL+Gb39/O3/7L9vRgk14PRLlwgzxjguYOvUERjmH4tK4ZmsP\nd338PQs91HNq/l5yh48ep2y5CMVjIEmYNQNfuJnsxDGCsVbSg4/T1tZOV4Obr3z2IyLI8cJNflf1\ndHPi1Agbt0RwuVwcOXKUyXSV1MgRSkYIRZXRyxUUdwjHcfBHWrGNEpmxo3jcCs2JEGG3w+xsPz3t\nLbz1+mtFiBOEFUIEOkF4GerTin/zL/+F6o2hqG7KxVniHRcwO3KQQKSZWnGK7//dJ+nt7V3o4Z4T\n80PI9x/8MU1rriKTHkbxNmJlprBsEwDV5aFWKdLYugqrNM2Wbeu4altyRUw/v1T1atzAyGHKNPG9\nH+7GqFmkRkusao1w+Jl+Eh2bkeUiklWhrJexbQvTMAg3raaSn8DtDbB+VRN3vGHt2bVwXpmbr32n\neIwFYYURgU4QXqJ0OsOHPvklTk+WkFQfRjmHN5ggFO8mO34Ujy9M3Ffjn7722WW9Huy+hx7lR3sG\nGB4ewVYCeEsmtqSham5kyaamZzGqJexaGasoccElW7j0hpW7Zuv5a+Jee+lGfvzYfvbuH+DE6Uma\nO9dhlPNkZvsJtV6Ix6UwlHoSRfWgebx4/SFmJ6aIJTqZGTmGZRdAdZEbfhJfIEwi4PB3n/+YqHgK\nwgonAp0g/ArpdIbP3/1v7HziKLbqxRtsopA+g9sfJTd9Gll1IUkSV21u4s//6MPLMrTMX5C/Z/8x\nAolVeKI96NlJDMuhZlQIxTtQ7QKWWSXs9XHRutV88sNvW/FBY/6aON1x+Kuv389cSeLA4QFwhZCy\nJmapSM1UiMoyLk0jkmjB7/fT3dRJplIkEAjh6GMv7Eyd1zQhCMLKJgKdIPwKn/6Lr7On7xS+WBvl\nUhbT0PHHWtFzM8iqC1VxuPrCnmUZ5uphds+B48ieOJo3iOwKISlubMsk3JpkZugAwYCH8sQob/6N\n62mMB0TImCedLTMwchi9bDI7M0HFsJiemUHxxAk1JynNjePYNvrsEO7ejcjU8LtdaIrN5s2bOHY8\nheS1ufyizeJxFQThFxKBThB+gfp6uZ8+1U+wYTV2rYxt1lCDXvTcJIqioCk2//t9t/CWN167bC60\n87cfOT0yheqJovpbcQfigINNjmopS6ihk3J+koZEnIt6wyv2ZIH5U6qabCBJMnnd4uTAKQxb4lhq\nkNbklVTy07gbN1EcPoysBTAtE0V1EWnsxjZLbGp3E/PNUKjKxKMmm9fHsM0cV2xpFUFOEIRfSQQ6\nQXgR6XSGj971NwxOFNA8YaxamUjzWozTB8jPnMYXiLK61cdf/vEHl816uXQ6wxe/ei99RwcpVSEQ\na8MX82DbYJlVLKsGOMTa1pEbPUpx4ihBn4t33nTlsgq0L1d9StVSq9z74H9SkUJU9QKy6qaju5dQ\nk0Ihn6dc0GmJmqxevYajB/fhqEGKM4OomgfNKfDaay/mHbffuNB3RxCEJUoEOkGYp16d+uo3H8Lx\nNKF4ohjFM0Ra1zM3fhxPIIpsFdj+z3+wpNeGzT+S67G9fdRsF+Pj46i+OC5fK7JUwkLFrJaxHQfN\nG8KxahilOapzw/R0NHDHTZeu6EaHehVzaq5KY9sa3JJOOlsh3rMJyxnHsiGTL+NXZLRgBJdTIB4N\noVHmrW+5nZ2PPIxJGc1l8oZrtnDbTVct9N0SBGEJE4FOEJ6l62X+8HNfY/fBEWwlhEuSMGtlEl0X\nMzPUh8cfxSyM8t2vfWpJhzk4uwnwT/ad4vG9e/GEm4m2dGKQxeNvAiwso4rpMoi2JEmPHKIwfQrN\nrdHT2cKt11+17Ctyv2watVQ1GRgcoVST8QRb8IQlbC3B7NwwRs1AAhzHxjItbNumpbOTqZEBmsMq\nrmI/PT3dRIMm37j7U8v6MRQE4fwSgU4QgOGRMX77419gJm/ji7ZSnpvAG2rEtmrkJ1N4fGHWtHr5\nu89/YUmGuXqX6k/3HaN/8AzZooFpSbgDTQRinXj8cSRFxbIMQrF2TLNCfvokTnGU3vZGfuO665dd\niPtFR2zB2cC7P5XBtGVGz5zCE2xgenKEGl5kWcUdWYWUzeBILvzhBoqZM1QKM6iyTTU/hqpIlLNT\nVI1xlKZ1vOma5IqtZgqCcH6IQCeseMMjY7z5A5/BVoNIqo1VqyC5PJQLs2BbuFwa3Q1u/umvfm9J\nXpB1vcyn/+IenjqeplQs4Yu0ofpLyKaJbdWwbRMHB80fARz09ABhn4/XXLmRP/299y/J+/zL1IPc\nrn1HyFS8GOUSNvC9Bx/ldddegUKFb//HYwTatuFSIFsGp5zFHWjFqZlYlk3NqGIaZRSXH1lxEW/q\nxt0QIuEqMJbOgOrhwou7xLYtgiCcNyLQCSuSrpf5P9/4Lv98/06qhkUg1oGMQ61cQNW8VPJpTMfG\n4/VyzdY1/MFHl87O+/WtRg4cP41hWDjY2LIXxR3GHYihal7AIZ8dwhdrA8dhdvQoWFVaQwqvv/5q\noiH3su2srDcxTGRq5Mo1DKNGITtJpHE1uw9PUpwbpyoFCWtebKBU0vGHEuCY2LaJbZmEYu1IZoX8\n3GnS+TN0tDby+usu4C1vfMeyfMyEpe+XVaRfzt8RFi8R6IQVJ53O8JHfv5ujA8PEO7ag5KcxDB2X\ny0O4sZfCzACeQATNyvHd//PJJdHFOv84rnu//yOyVRVvqB3VJ6MoKoX0CFg1bNtG0XwEYu1YRoHi\nzCk0r59EJMDbb3sN73zzjef8A/x8XzTmb4o8PjVDtlijsa2XkZFhTNy4A3ECsW684WYKhkmx7OD1\n+jAreZBkVBnk2iyhxDrmpoehVkAfn2HThtVcumXlnoCx0i1E+Km/lvuODCErKls3dv7K1199nHv6\nTuCJdLCmpw1dUnl4Zx933HL1z/3d52+C/YPtu3G7PSLgLREi0AkrSqr/JO/8yJ+DO4Yn2IDicmOU\nczT0bGPq1FNU9CyqqnHVBc18+uOfXNTTZbpe5lv3/Yh/e+BR0rN5vJEW7JqOg4o3WK/EgWVWkGQJ\nu2aguFzkpwYopU/TEPXzkQ+/5byvjXv+RePFLiyv1Pw1g4eODaB449SMGh5/BEfxM5XOYUkatuUg\ny2fXDjqO8+zjpNPUvRmznMNGpjUq8YYbXsPh1BgdkUa2bhQhbqWaH+L6+wfo3Xgpml9jKjfHb3/8\nC5hoaC4Xb7hm88+9r17s+LefPvnMzwUlx+FFw5rj8HP/z7LtwxVdBxIcGS6h7ezjpmu2Pfe7luWg\nOAaWpOLS3CiOQVv3eo70j+ONaZw4Ocwt112CZdsvGNvRE4Ns3BLB5Tp7+k3fkSE2bNnGiZP9GKbE\n/kPfWrH7TS4FItAJy1r9w2poZIqHtu9icjqHJ9wEjkSlkMYfa8MXaWZ25Ai+YAy3XOF/3HElv/Pe\ntyz00H8pXS/z+a98i0f3PYMpRXAHvXjDLSiyytzkAIaho7h9SBL4ws1IVgmjOItiVdnQ28FvXHfB\ngjU5FMo2ql8CQJIkCrr9sn7/+R2ohlFj/5EhxqdmkGSF5oY46fQMlivGxOQsvsYNFLPTeMJtSJJD\nINzE3PgxfMEYtYqOXSvij7ajz54mEPWxsTuO2zuL7nIRdFvceZc4J3UlerEK3PwvI3OVER7ZuZtE\nooFjh59G9jeRaO4hkx7l3h0nOHFq7Lnw82LHv62/8Mpn/50yn/vrb1EoGaTOTJNo34iqyBw8Xaby\n4CP8+KcHMT3tlHLTuFwualaB9ZvbsGs1zgwPUsh42H8o9VzQGz55lPRskXjLasKyl1JmhIOpn6D6\nGtF8cUyjzAMP7WBNR5T+/gFKFRN/vJuu1jjD47OMZw8gWSUCfj9Dg2cYnaniT3QRj4YwzOA5+QIm\nvDpEoBOWtW/f/2Me+OkpTh9/Gk+4BW/UT61cRPUEkFUP6TMHUTQP2BatLWHedfsN3Pr6KxZ62C9q\n/t5n49M5fJFWbCWIqnqwbBtFceHYJorLjQTkpwZwbNCn+7nqsi1cftEVi6KyFPTK6I6DJEk4jkPQ\nK7+k36vf/3+7fyfueC9ONQdmhZnZOSTVjeoOEW9ZzanpKWQ5ASbImh/LrCFJKrZtAjaqy4XHF8Tj\nVol19lAuzJCfO0NTyMNt161dFI+RcG79qqnL+hcmw92G2yWzuquFH2zfzYFjo5hqhpmpMcbHRom2\nX4gr0AieKLYjkUmP4o92YpsVDLf/ufDz/C8xcyWbEyeHMUyH8ZFBmlq6GM+cQPG3UKlBOTPFzESV\nvr1jRFvXUyrpaJFVTJ4+gNsb4szIFHIthy/SQSiuUcjnmJnN0hmWyOeKKO5nj+eTXOQLJSzJTaKx\ng8zMMMXcNJF4K7I7gK4lOJHqo8Fs4NChw6xedwHHD+2lsXMTo+ODhBu6KFVq+CSNzFyBlpiLQvnl\nfQETzh8R6IRlp/5h/fCjfew/OoQ7kEALxHH7whQyI6iaH9s6e3F3eQKEvBr/8z0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}, "metadata": {}, "output_type": "display_data" } ], "source": [ "# As the length grows, the trends in the data begin to diverge more and more\n", "ax = df.plot('length', 'diff', kind='scatter',\n", " style='.', alpha=.5, figsize=(10, 5))\n", "ax.set_ylim([0, .05])\n", "ax.set_title('Error of linear fit for varying signal lengths')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It looks like there are some clear components of the data that *don't* follow a linear relationship. Moreover, this seems to be systematic. We clearly see several separate traces in the error plot, which means that there are patterns in the data that follow different non-linear trends.\n", "\n", "But we already know that the FFT efficiency will differ depending on the number of factors of the signal's length. Let's see if that's related to the plot above..." ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "text/html": [ "
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" ], "text/plain": [ " time length ypred diff n_factors\n", "9995 0.031189 9995 0.035864 -0.004675 2\n", "9996 0.000974 9996 0.035873 -0.034899 18\n", "9997 0.012076 9997 0.035881 -0.023805 2\n", "9998 0.080163 9998 0.035889 0.044274 2\n", "9999 0.002135 9999 0.035897 -0.033763 6" ], "text/plain": " time length ypred diff n_factors\n9995 0.031189 9995 0.035864 -0.004675 2\n9996 0.000974 9996 0.035873 -0.034899 18\n9997 0.012076 9997 0.035881 -0.023805 2\n9998 0.080163 9998 0.035889 0.044274 2\n9999 0.002135 9999 0.035897 -0.033763 6" }, "execution_count": 32, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# We'll write a helper function that shows how many (<100) factors each length has\n", "find_n_factors = lambda n: len([i for i in range(1, min(100, n-1)) if n % i == 0])\n", "\n", "# This tells us the number of factors for all lengths we tried\n", "df['n_factors'] = df['length'].map(find_n_factors)\n", "\n", "# We now have a column that tells us how many factors each iteration had\n", "df.tail()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finally, we can plot time to compue the FFT as a function of the number of factors for that signal length." ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": {}, "execution_count": 33, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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v2/dSREREZAjjDmYnAZ8BMLOvA4/sua8DnGhmnaIdkveQDTqm8jzPoxH6RFFMI/R1RqaI\niIgMbdzBbCuw0NOOnXM+gJllZnYbgHPutcCMmV086JhJkKUx377+dr7/4wW+ff3tZGlcdkkiIiIy\nIca9jtkiMNvT9s0sXWsU88n+CjgOePYwx1Td7oWIJINm3SfJ8va9D2+UXZaIiIhMgHH3RF0OPA3A\nOfdY4Jq++99PPp/sWT1Dmvs7ptIOnauRkbF3qUtGxqFztbJLEhERkQkx7h6zC4AnO+cuL9qnFmdi\nzgBXAKcClznnvgBkwHvWO2bMNY5UkkLoZdQCj9DLSCamr09ERETKNtZgZmYZ8Mq+m68b4vX7j5kY\ni8sRK+2YNMtYaccsLkdMT2koU0RERPZPe2WO2HTTY345YqkVMTtVY7qpszJFRERkOApmI9aNPY7c\n3qS5UmPbTEA3VjATERGR4UzMMhSTYqrhk2QeWZaSZB5TDX3EIiIiMhylhhFLUqjXPHzfo17zNPlf\nREREhqahzBGLo4SF5Yh2J2Zh2SOOkrJLEhERkQmhHrMRy4AkSelGGUmSot0yRUREZFgKZiMW+BBF\nKXGcEEUpgT5hERERGZKGMkcsSmBmKiDJ8kuNZIqIiMiwFMxGrFn3aHVilltdakGdZl3LZYiIiMhw\nNNA2Yq1Oiu/7NBshvu/T6ui0TBERERmOgtmIhb5HEPrUfJ8g9Al99ZiJiIjIcDSUOWLNZsihW5vM\ne122zdZpNvURi4iIyHCUGkYszTwOnZuiUQ/YMlUnzdRjJiIiIsPRUOaIhYFHEHhkmU8QeISBgpmI\niIgMRz1mI5ZlGSurMa1uRG3VI8u0xKyIiIgMRz1mI9bppiRk1MOAhIxOV2dlioiIyHAUzEas2QiY\nm6lTD/PLZiMouyQRERGZEApmI1YLfabqPmmSMFX3qYX6iEVERGQ4Sg0jtrLa5Xs/mueW3at870fz\nrKx2yy5JREREJoSC2YittGOWWxHtbn650o7LLklEREQmhILZiM1Oh4S+RxSnhL7H7LROfBUREZHh\nKDWMWIbPvbY1yDLyS2VfERERGZKC2YglccxPd7VYbkd0o5QkjoFG2WWJiIjIBFB3zoitdhKiJCZL\nUqIkZrWTlF2SiIiITAgFsxGbagSEoQ++Rxj6TGkdMxERERmShjJHLAxDjjlilj0rEdtnaoShPmIR\nEREZjlLDiNVCn62zTdLUY+tsQwvMioiIyNAUzEYsyzJWW12W2zH1ujYxFxERkeEpmI1Yqx1z23yb\n1U5Mkia02jFTzXrZZYmIiMgEUDAbsSzLaHdjOu0Y30M9ZiIiIjI0TYAasTD0adQCwqC41BwzERER\nGZJ6zEbM8zym6iFRkjFVD/E8r+ySREREZEKoO2fEPMD3fULPw/d9FMtERERkWApmI5YBWZYSpylZ\nlqIZZiIiIjIsDWWOWpbR6sa02yn1Wgya/C8iIiJDUjAbsThOWW3FrHa6hGHeFhERERmGgtmIpWnK\nciuh3U3x/YQ0VTATERGR4SiYjViKx5YpHy8LmJnySTX9X0RERIakYDZiM1MhW6YaxClsmWowM6WP\nWERERIaj1DBiaeaxbbaOF/rMTYWkmXrMREREZDhaLmMcsowo0hmZIiIicvcM7DFzztWAFwDPBI4D\nUuAG4ELgX80sGnuFkyZLuOnWFZZaEaurMWRJ2RWJiIjIhNiwx8w593TgS8AvAv8IvAh4PvAPwC8B\nlzvnnnkAapwoiysJ9dBnphlSD30WVxTMREREZDiDesyOAx63Tq/Y94D/55yrA68ZW2UTavvWkChJ\nmV/pcuhsg+1bNY1PREREhrNhajCzs/pvc85tBY42s++YWRc4c5zFTaJWJ6NR85iuBzRqHq1OxtRU\n2VWJiIjIJNhvd45z7nTgROCPgKuAJefcv5vZn4y7uEkUxQkr7YQkzVhpJ0SxhjJFRERkOMOclflK\n4A3k88suBB4K/Oo4i5pkjXpAveaTAfWaT6MelF2SiIiITIihJkCZ2R7n3NOA95pZ7JwbanDOOecB\nZwPHA23gdDO7se8x08BFwGlmdl1x2xXAQvGQH5rZS4d6NxXgeR7NRkiUZDQbIZ6ndcxERERkOMME\ns+845z4JPAC42Dn3UeCbQz7/s4CGmZ3onHsM+Zy0Z63d6Zx7BPA+4D49tzUAzOyUIV+jUtIUphsh\nmZfPM9NWmSIiIjKsYYYyTwP+CnhsMeH/Q8DpQz7/ScBnAMzs68Aj++6vkwe17/fcdjww45z7rHPu\n4iLQTYxmI2CmEUKWMdMIaTY0lCkiIiLDGbSO2V8657aZWWxmXzKzPQBm9oliOHO7c+4d+3n+rdw5\nJAkQO+fueE0z+6qZ3Qz77PS9CrzTzJ5CPr/tw73HVF2apuxZ7rK8HLNnuUuqLjMREREZ0qChzI8C\n/+Gcu4V8odmfAjFwDHAKcG/g9ft5/kVgtqftm9n+ksp15LsLYGbXO+d2A0cBN+/nuEpYXIlYWY1I\nSVlZjVhciZiZbpZdloiIiEyAQeuYXQU8wTn3RPItmX6NfEumHwDnmNklQzz/5cVxH3POPRa4Zohj\nTiM/8/PVzrl7kwe7HUMcVwlTjQAvgLiT0mwETGkoU0RERIa038n/ZvYF4Av38PkvAJ7snLu8aJ/q\nnHs+MGNm5/Y8rne37w8AH3TOXUYeBE8bopetMuq1gENm6mSpxyEzNeo1BTMREREZzlj3CzKzjHye\nWK/r1nncKT3XI/J9OSdSp5vi+QHNRn7Z6aZMa+V/ERERGcLETKqfFEHgkaUJrU5MliYEgdYxExER\nkeEMOivzyQeykM3CI2Xn7hVu3b3Czt0reEzMKKyIiIiUbFCP2f6WwpB17FnssLDcpd2NWVjusmex\nU3ZJIiIiMiHGOsfsYFQLoBWldOIU30/R3H8REREZ1qBgdpxzbsMlMSZ1y6Rxa9Tr3PewaRZWIuZm\najTq9bJLEhERkQkxKJjtBN56oArZLKanahxz7zluX4w4bGuN6ala2SWJiIjIhBgUzJbN7NIDVskm\n4XkeM80a7ShlplnD83RWpoiIiAxnUDD74QGrYhPpRgm75tsstyKSJKMbJTQb6jUTERGR/RsUzM47\nYFVsInGUML/UYrWdEMcxcZSUXZKIiIhMiEHLZbxl7Ypz7vwDUMvm4Hk0Qp/A92mEPmgoU0RERIY0\nKJj1Jgo37kI2i0bdx/d9PDJ836dR1+YKIiIiMpxBqSEbcJ9soBtl1GsB09P5BubdSB+jiIiIDGfQ\nHLO6c+5o8vC2dv2OXjQzu2ncxU2iIPDwPI8kyc/Q1F6ZIiIiMqxBwWwLcCl3hrEv9dyXAQ8YV1GT\nLPCh1eqy0oqo+xmBRjJFRERkSBsGMzO7/wGsY9NYacW0ooQkyWhFCSutmJnpsqsSERGRSbBhf45z\n7gM91487MOVMvsCHbpzQ7iZ040Q9ZiIiIjK0QbHhhJ7rHxl3IZtFEPjUayFhLb8MlMxERERkSIPm\nmPXSDPYhZZnHIbMNGrUa002fLNNHJyIiIsMZFMyyDa7LAFPNkKMOnWFhOWJuS42p5rDZV0RERA52\ng1LDUc65N69zHQAze9v4yppctdBnuhkwv9xhuhlQCzWUKSIiIsMZFMzex51DmL3XZYCV1S7fuXE3\ne5di9i62OO6+29k6O1V2WSIiIjIBBi2X8dYDWchmsbDS5sZbluhECXuXAhZW2gpmIiIiMhSNs42Y\nh0fN9/C9/NJTR6OIiIgMSTPTR+yQrU2OPnKW3QtdDp2rc8jWZtkliYiIyITYb4+Zc+7PDkQhm0UQ\nBNzn0GkOmWtyn0OnCYKg7JJERERkQgwzlPkM55zG44bUbnf57o/nuWnnIt/98TztdrfskkRERGRC\nDDOUuRv4vnPuSqC1dqOZnTa2qibY/HKbW25foRsltNoR88ttts3NlF2WiIiITIBhgtl5Y69iE/E9\nD7KMOE6ph37eFhERERnCfocyzew84ApgFjgEuLq4TdaxZapGowFhmNFo5G0RERGRYQwz+f/FwIXA\nscAxwMedcxrG3EAUZzRrIfV6jWYtJIq1m5WIiIgMZ5ihzD8AHm1muwGcc38OfBH4hzHWNbHSLCNJ\nPfA8ktQjzRTMREREZDjDnJUZrIUyADO7HUjHV9Jkq4UBM81wn0sRERGRYQzTY3a1c+4s4ANF+6XA\n1eMrabKFgUfgBzT8hMAPCANN/hcREZHhbNhj5pxbW+PhZUCHfOjyH4EIeNXYK5tQUQLTTZ+pZsh0\n0ydKyq5IREREJsWgHrMvAo8C3mVmCmJDatRgcSVmuRXjFW0RERGRYQwKZlucc/8M/Kpz7i4bPmqB\n2fW1OnCvQxqE9YBDZkJaHdg6W3ZVIiIiMgkGBbNfAZ4InAxcemDKmXyz0x6757ssrHZJozqz05pj\nJiIiIsPZMJiZ2U+Af3LOXW1mmuw/pMXVlKmGR6vjM9XwWFxNmZ4uuyoRERGZBPs9K1Oh7O4JvYSb\nbmuxvNpluVMn9DT7X0RERIYzzDpmcjcst2M6nS5ZmtDpdFlux2WXJCIiIhNi6GDmnDtknIVsFoHn\nM9UICWphfukp+4qIiMhw9juU6Zx7GPCvwLRz7pfJTwT4TTO7ctzFTaK52Tpbp2skwNbpGnOz9bJL\nEhERkQkxTHfOe4FfB3ab2c3AK4H3jbWqCdaNPI46fAtHHTLDUYdvoRvprEwREREZzjDBbNrMvrfW\nMLPPAY3xlTTZGnVYWIpYXo1YWIpoqMNMREREhjRMMNvjnDseyACccy8E9oy1qgnW6qRkaUycZGRp\nTKuj/d5FRERkOMNsYv5K4DzgF51z88D1wIvGWtUkyxJuW+yyuBITZyFkWi5DREREhjPMOmY/AE4q\nNjUPzGxx/GVNrk6UsNqO6EQxq+2MjnYxFxERkSENc1bmycDrgUOKNgBmdspYK5tQaZLS7UZE3ZSu\nn5EmGsoUERGR4QwzlPmPwFuBH9/dJ3fOecDZwPFAGzjdzG7se8w0cBFwmpldN8wxVeZ5Hr4fUKtl\n+H6A5+msTBERERnOMMHsZjP7p3v4/M8CGmZ2onPuMcCZxW0AOOceQb70xn2GPabq6vUaRxwyxWIr\nZutUSL1eK7skERERmRDDBLP3Ouf+GbgEuGN/oSHD2knAZ4rHf90598i+++vkoetDd+OYSpudqXP4\n9mn8vR0OO6TB7IzWyxAREZHhDLNcxquAewMnA08s/nvCkM+/FVjoacfOuTte08y+Wixa6w17TNXF\ncUo3zsDz6cYZcaw5ZiIiIjKcYXrMjjKzB93D518EZnvavpntL6nck2MqY7WTkKYeYQhp6rHaSZgr\nuygRERGZCMP0RF3mnPs159wwIa7f5cDTAJxzjwWuGdMxlbFlKiBOYhZWu8RJzJapoOySREREZEIM\nE7aeAZwOdy6VAWRmNkziuAB4snPu8qJ9qnPu+cCMmZ3b87hs0DFDvE5ldLoJq+2YOElZbcd0usk+\n3X8iIiIiGxlmgdmj7umTm1lGvnNAr+vWedwpPdfXO2ZirHYSyDyCzIcsH8oUERERGcaGwcw593Iz\ne79z7s3r3W9mbxtfWZNrbiYkJaWdxDTxmZu5JyPAIiIicjAalBq8vksZQieCLVMhSZKxZSqkE5Vd\nkYiIiEyKQcGsDWBmbz1AtWwKPhmdKCNJ80t/n+lzIiIiIhsbdFbm6w5YFZuJ5xEGAMWltmQSERGR\nIU3Mwq2TxMMj8/JLERERkWENGsr8RefcepuHe+TLZTxgTDVNtCzL6EQJUTehU/fJsmoMZWZZRpxk\nhIGnjdVFREQqalAwu4FioVcZXpKmtDoxnW5Mq+ORpOVvWpBlGQvLXZI0JfB95rbUFc5EREQqaFAw\n65rZjw9YJZtEHMfsWWjT6sREcUIcx/s/aNw1JdkdATFJU+IkoxYqmImIiFTNoDlmlw+4Tzaw0o7p\nxglpmtKNE1ba5QezMPAI/PyrDnyfMFAoExERqaINe8zM7DUHspDNolkPma4HrGYZ0/WAZr38BWY9\nz2NuS11zzERERCqu/NSwycxO19k6UyMlY+tMjdnpetklAXk40/CliIhItWm5jBHrxmm+dpnvg+fl\nbREREZEhqMdsxDrdiL3LEa12TJbmbREREZFhqMdsxJIkgzTvMCMt2iIiIiJDUI/ZiE03GxyxvcGe\n1YDt0yGBaNGaAAAZW0lEQVTTzUbZJYmIiMiEUI/ZiG3dEhIEHlmaEQQeW7co+4qIiMhwFMxG7Lb5\nNvMrMVmSMr8Sc9t8u+ySgHz1/yhOK7NFlIiIiNyVunNGLI4TWu2E1U5MmnnEcVJ2SWRZxu6FVRaW\nIuZmaxw6N621zERERCpIwWzEphsBSRqTxDFJzWO6EZRdEu1OxLe+t5OFxYi5rTUe//CjmWpWY301\nERERuZOC2Yh1Yphp1vE9n6lGSKf8HZlYXO5w/U2LtKOY5nzIw4/rKJiJiIhUkOaYjdhUPaAeBmR4\n1MOAqXr5PWYAaRKz2uqSJhVIiiIiIrIu9ZiNmOdBkiYEQX5ZhalczRosLLdZbCV4WUqzVnZFIiIi\nsh4FsxFrdzOmmzUSz2O6EdLuln8W5N7lJB+69FOm6j57lxPm5squSkRERPppKHPEts4EdOKU1XZM\nJ07ZOlP+UOb2rTXCMAAywjBg+1Z1mYmIiFSRgtmIrbQSPKDmeXhFu2yeH3LsUdMcvm2aY4+axvPV\nUSoiIlJF+oUesSRJWGnFtDoJnueRJOUHszRJuHW+w8JKFy/ISCtQk4iIiNyVgtmI+T50uzFRFNH1\ni83MS7ba7nLLrlVWo5jVdsxqu8vc1umyyxIREZE+CmYjFiVQr/lEaZBfVqBzqhtlBAGEiU8Q5G0R\nERGpngr052wuU3WfFMhSSIt22bbPNdi2pU499Nm2pc72uUbZJYmIiMg6yk8Nm0ycQD3w8Lz8sgJb\nZZJlHjNTAVO1kJmpgCyrwOJqIiIichcayhyxNI2ZX47oRAlZlrfLttrqcuvuDsvtmHR3ymqry9bZ\nqbLLEhERkT4KZiO22s2o1/KOyHrNZ7UCC8xGSUoniomLyyhJyy5JRERE1qGhzBE7bGuDmek69XrI\nzHSdw7aWP5+rWQ/zPTu9jKl6QLOuPC4iIlJF+oUeMT+ocf8jt3Dbni732l7HD8pfZT/w816zNM2I\nkpRAcVxERKSS9BM9Yr6X0eqkdNOUVifF98ofylxqxaQZ+L5PmuVtERERqR71mI3YarvLjt2rrLYi\nOt18MddtczOl1tSs+XlvWZyQ1nyaNeVxERGRKlIwG7GVVsTqapfVTgxZxkorKrskfN/D81J8svzS\n13IZIiIiVaRgNmK1IGOp1aXdTUjSlFpQ/lBmp5uQpj5+EJCmPp1uBRZXExERkbvQmNaIrXbSvFfK\ny3unVjvlL00RhgEzzYAg8JlpBoRhUHZJIiIisg4FsxFr1DzyjkgfCIt2uaabAb7v4/kevu8z3VQw\nExERqSIFsxHz/JCZpkez7jHT9PD88keLV9opU/WAmVqNqXrASrv8XjwRERG5q/JTwyYzVffxvAC8\nBM8LKrGJeT3I2L3SZWk5IqFGvQLz3kREROSuyk8Nm0w7SvEDaIQBfpC3y9buphDHZOSX7W75NYmI\niMhdKZiNWOD7NMIafpBfBn4VPuKMTgxxlF+CesxERESqqAqpYVOZbgRkJKRJSkbCdKP8ifae7+FR\nnClKiqd1zERERCpJwWzElloRUZwSJxlRnLJUgQVmvQw8PyDzfDw/oAK7RImIiMg6NPl/xKIoYmEl\nptNNiLO8XQUeKZAVlyIiIlJFCmYjlqQZcRyTJSlxnJGk1eie8vAJvARPnaQiIiKVNdZg5pzzgLOB\n44E2cLqZ3dhz/zOAM4AI+KCZnVvcfgWwUDzsh2b20nHWOUr1Wo3ZqRqrXsx0M6Req5VdEngepAlJ\nmkDq520RERGpnHH3mD0LaJjZic65xwBnFrfhnAuL9iOAFnC5c+5CYBHAzE4Zc21jMTsVFpuG55uH\nz06V3ymZxhG7Fjq0ujHtTkoaV2N4VURERPY17nGtk4DPAJjZ14FH9tz3IOB6M1s0swj4MvA48t61\nGefcZ51zFxeBbmIsthLqYcBUo0Y9DFhslb9h+M75Fq1OQhRntDoJO+dbZZckIiIi6xh3MNvKnUOS\nALFzzt/gviVgDlgB3mlmTwFeCXy455jKa4YeKR5RkpHi0QzLHzacCiFKErpRSpQkVKATT0RERNYx\n7sCzCMz2vp6ZpT33be25bxaYB64HPgxgZtcDu4GjxlznyHi+B2lMmqWQxpVYMywFOt2MKM4vdV6m\niIhINY07mF0OPA3AOfdY4Jqe+74HPNA5t805VwdOBr4KnAa8qzjm3uSBbceY6xyZTjchyXw8PJLM\np9MtfyhztR3dudh/VrRFRESkcsY9qHUB8GTn3OVF+1Tn3POBGTM71zn3+8BFgAd8wMx2OOc+AHzQ\nOXcZeWfPaT29bJUX+B6QkaYZkBXtcnlAluUfZpblbREREamesQYzM8vI54n1uq7n/k8Bn+o7JgJe\nNM66xsn3oRvFRHFMN8rbZauHPl4AfgxekLdFRESkevQLPWLL7YhOlBIlGZ0oZbkCw4ZJ5uEXQ5l+\nlrdFRESkenR+3oilSUI3hiSGrp+3yzZVDwhDSDIIw7wtIiIi1aNgNmKBH1APIUugHubtsqVZPreM\n4rIiu0SJiIhIHw1ljth0MyQsxg1DP2O6WX72jeKEJMtPzEyyvC0iIiLVU35q2GQ6UUqa5VsypZlH\nJyr/hNI4iYkiSIAsytsiIiJSPeoxG7E4SUhSjzTzSFKPuAJzzDrdtHcZMzrd8sOiiIiI3JWC2YgF\nvkdGPqErq8g6ZtPNYJ9gNt0sf96biIiI3JWC2Yj5nr/PHDPfK/8j7sbpwHZZkiRhcblLUoFeRRER\nkSrQHLMR87yMJC0m2qd5u2ydbtw3lFn+HLMkSbj2xtvZu9DlkLk6D3nAYQSBevJEROTgpmA2Yp0Y\nGmFAkuSXnfIzELUwGNguw+JSh2/fcBtLSzGzsyH3u9csh2ybLrssERGRUimYjdhsw6MdJXSiFN/P\n22Wrh0G+Xyb5Ppn1CgSzTjfiJzuXWGpFzK7U6HTL3yFBRESkbApmI7Z3NSbL0mLj8JS9qzFHl1xT\np9vtG8rsllkOAGmasrTSYaUVQ5qSptWY9yYiIlKm8membzL1ADKC4rzMgCrsfrS0Eg9slyFJM9Is\nj4tplpFoOwIREREFs1ELg5DQz88yDP2EMCi/U3K6MbhdhiDwqQc+XuBRD3yCQH8URURE9Gs4Yr6X\nkeLjexSX5fcELbeyge0yhL4HHnhZBl7RFhEROcgpmI1YO8qo+T6+71HzfdpR+SFoZtof2C5DN07J\nilCWZVll1lYTEREpU/njbJvMVN2jEyd0o4wgSJiql98TVKs3B7bL4JHR7qZ0uyltP8Wj/AArIiJS\ntvK7TjaZ5VZE1M1IEoi6Gcut8peBqHnJwHYZ0gwCH2o1j8DP2yIiIgc7BbMR68ZJfkamly9N0Y3L\nD0G37O4MbJehFoZs29KgUa+xbUuDWqjOWxEREf0ajthUzacbQ5JBN87bZdtSywa2y9BseLS6CVE3\nplXzaVZgIV4REZGylZ8aNplWlA5sl2ElSga2y7BnsUucpGQexEnKnsXyF70VEREpm3rMRizwPcIA\n0hjCIG+XbXm5PbBdhpqfsdyKWW3HpGneroosy4iTjDDw8Lzyvz8RETl4KJiNWLMe7rMvZbNe/kfc\nvxJFFVamyPDwSfBI8PHIqEY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}, "metadata": {}, "output_type": "display_data" } ], "source": [ "# As we can see, the FFT time drops quickly as a function of the number of factors\n", "ax = df.plot('n_factors', 'time', style=['.'], figsize=(10, 5), alpha=.1)\n", "ax.set_xlim([0, 15])\n", "ax.set_ylabel('Time for FFT (s)')\n", "ax.set_title('Time of FFT for varying numbers of factors')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The fewer factors in the length of the signal, the longer the FFT takes.\n", "\n", "Finally, we can show how the length of computation time changes for each group of factors. We'll plot the signal length along with the time to compute the FFT, this time colored by the number of factors for each point." ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "image/png": 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hxHFg34NP07pxKwC+1a8z86PX4AlmAeDNyWbadZcA0Lj6dd769i9IhiN4srOY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l2kPAwhMDIZzFQKGUdgGgjaVaV2a1QYBu7wEOkd20EmuEODdH/oNsx0WussTeOHYhXfzC/w8OIE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Tk/M2PxEsG04zEyn36AzOfx7N6Hd89GdfOPBRsE8wFD7cMHmTx3hezACLVH99P8zCrsSNYI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\nQIlDLuYauDeW73FrTiWw4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sNNVygBZYfo7p2Mvv4WejhEbN+eOVUEKSWy7MycFJtBxame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\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ASYOXAy8LZjNetojMJ9EbAkvbYc3TPKIZ5K71qCa9mhpqDt2PPTZB9MA+Inv3oPl9lEbH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seWsreRjiXXI2E0AszG95udwTv1Jsr3kfEEkUc/uyYIVEqh3DoUxlGmiUy3ghVvZp+D8cHmZ8uJ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9Dr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tIqdmEJ//4ryNoER1/7JsnuPll/gDqtkGb9Plm/j11/C9NrI6oN1OQcpnOCu7iEaN+GYT7W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\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}, "metadata": {}, "output_type": "display_data" } ], "source": [ "# We'll plot two zoom levels to see the detail\n", "f, axs = plt.subplots(2, 1, figsize=(10, 5))\n", "vmin, vmax = 1, 18\n", "for ax in axs:\n", " ax = df.plot.scatter('length', 'time', c='n_factors', lw=0, cmap=plt.cm.get_cmap('RdYlBu', vmax),\n", " figsize=(10, 10), vmin=vmin, vmax=vmax, ax=ax, alpha=.5)\n", " ax.set_xlabel('Length of signal (samples)')\n", " ax.set_ylabel('Time to complete FFT (s)')\n", " ax.set_title('Time to compute the FFT, colored by n_factors')\n", "_ = plt.setp(axs, xlim=[0, df['length'].max()])\n", "_ = plt.setp(axs[0], ylim=[0, .2])\n", "_ = plt.setp(axs[1], ylim=[0, .005])\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Each of those colored traces spreading upwards represents a particular strategy that the FFT uses for that number of factors. As you can see, the FFT will take a lot longer (and scales exponentially) with fewer factors (see the red lines). It takes much less time (and scales more linearly) with more factors (see the blue lines).\n", "\n", "And that right there is the beauty of methods like the FFT. They leverage the structure of mathematics to take a computation that goes on for days, and figure out how to do it in seconds." ] } ], "metadata": { "category": "til", "date": "2016-07-02", "hide_input": false, "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": "3.8.0" }, "redirect": "fast-fourier-transform-efficiency", "tags": "python, programming, computation, efficiency, fft", "title": "The beauty of computational efficiency" }, "nbformat": 4, "nbformat_minor": 4 }