{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "

Animation and Interactive Demonstration

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This notebook is to demonstrate animation and interactive elements in python + Jupyter.

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Animation Background

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The animation is a part of matplotlib. For the animation, we create a function that generates each frame. This function is passed to the matplotlib.animation class creator FuncAnimation to generate the animation. We can then display that animation in the notebook and/or save it to a file. Some good resources to understand animation using matplotlib are:\n", "

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Interactive Elements Background

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The imports from ipywidgets allow us to create interactive sliders and other elements in the notebook. Some good information on this is at\n", "

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Initialization

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For this demonstration, we need to import several modules.

\n" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import numpy as np\n", "\n", "%matplotlib inline\n", "import matplotlib\n", "from matplotlib import pyplot as plt\n", "from matplotlib import animation\n", "matplotlib.rc('animation', html='html5')\n", "\n", "from ipywidgets import interact, interactive, widgets\n", "from IPython.display import display" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "

A good explanation of why we are importing pyplot as plt rather importing pylab is found on the matplotblib documentation and in the documentation on using matplotlib in Jupyter. Esentially, since we are doing an animation we need the figure object to persit past a single line. This way we keep access to the same figure and axes. Also, the axes are the basic object in matplotlib, not figure. The figure is a container for the axes, and there could be muliple sets of axes. The plots (actually matplotlib line objects) are objects of the axes, not the figure.

" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "

Animation Example

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This example is based mainly on this example.\n", "

In the code below:\n", "

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" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "MyFigure, MyAxes = plt.subplots()\n", "MyAxes.set_xlim(( 0, 2*np.pi))\n", "MyAxes.set_ylim((-1.5, 1.5))\n", "MyLine, = MyAxes.plot([], [], lw=2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "

In the cell below, we setup the animation. Some references for the numpy functions used are:\n", "

" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The animation will be 2.0 seconds long.\n" ] } ], "source": [ "x=np.linspace(0,2*np.pi)\n", "AnimationFrames = 100 #total number of frames in animation.\n", "DelayBetweenFrames = 20 #in msec (20 gives 50 fps)\n", "AnimationTime = AnimationFrames * DelayBetweenFrames/1000\n", "print (\"The animation will be {:.1f} seconds long.\".format(AnimationTime))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "

In the following cell, we define the animation function or the function that will be called for each frame. This function should return a touple of anything that has changed from the previous frame. The function accepts one argument, the number of the animation frame.

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Since we want a sin wave that looks like it is continously moving, we will adjust the phase. We adujst the phase by exactly $2\\pi$ over one animation loop so that the animation looks continous.

" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [], "source": [ "def a(i):\n", " y = np.sin(x + 2*np.pi*i/AnimationFrames)\n", " MyLine.set_data(x, y)\n", " return (MyLine,)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "

FuncAnimation creates the animation sequence. The option blit=true speeds up the drawing process, and requires a to return a list of items which have changed as our a function does.

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FuncAnimation returns a FuncAnimation object. We could save this animation using the save method. In this case we will display the animation in this notebook. Since we have set the parameter for displaying animations to html5 with matplotlib.rc('animation', html='html5') in the initilization section, we simply need to display the animation object.

" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [], "source": [ "MyAnimation = animation.FuncAnimation(MyFigure, a,\n", " frames=AnimationFrames, interval=DelayBetweenFrames, blit=True)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false, "scrolled": true }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "MyAnimation" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "

Data Fitting Problem Animation

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Let us look at another animation. In this case we will fit a line to some random data and display the data and fit line. We will animate this figure by changing the number of data points generated.

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First, we set the parameters for the data generation

" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": true }, "outputs": [], "source": [ "maxx = 25\n", "stddev = 10\n", "mtarget = 3.0\n", "btarget = 2.0\n", "maxy = 1.1*(mtarget*maxx + btarget)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "

Now, we again setup a figure, axes object, and the data series we want to plot. In this case there are two data series or lines.

" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false, "scrolled": true }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "DFFig, DFAxes = plt.subplots()\n", "DFAxes.set_xlim(( 0, maxx))\n", "DFAxes.set_ylim((0, maxy))\n", "DFLineData, = DFAxes.plot([], [], marker='H', ls='none', MFC=(1,0,0,0),mec=(1,0,0,.25), label='Data')\n", "DFLineFit, = DFAxes.plot([], [], marker='None', ls='-', label='Fit')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "

Next, we set the parameters for the animation so that we don't have magic numbers floating around.

" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The animation will be 16.4 seconds long.\n" ] } ], "source": [ "AnimationFrames = 400 #total number of frames in animation.\n", "DelayBetweenFrames = 41 #in msec (41.6 gives 24 fps)\n", "MinDataPoints = 2\n", "MaxDataPoints = 10000\n", "NMultiplier = (MaxDataPoints - MinDataPoints)/AnimationFrames\n", "AnimationTime = AnimationFrames * DelayBetweenFrames/1000\n", "print (\"The animation will be {:.1f} seconds long.\".format(AnimationTime))" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": true }, "outputs": [], "source": [ "xx=np.linspace(0, maxx)\n", "def DFData(n):\n", " x = np.random.uniform(0., maxx, n)\n", " y = mtarget * x + btarget + np.random.normal(0., stddev, n)\n", " return (x,y)\n", "\n", "def DFAnimator(n=10):\n", " n=int(NMultiplier*n + MinDataPoints)\n", " x,y = DFData(n)\n", " A = np.vstack([x,np.ones(len(x))]).T\n", " mfit, bfit = np.linalg.lstsq(A, y)[0]\n", " DFLineFit.set_data(xx,mfit*xx + bfit)\n", " DFLineData.set_data(x, y)\n", " return [DFLineData,DFLineFit]" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [], "source": [ "DFAnim = animation.FuncAnimation(DFFig, DFAnimator ,\n", " frames=AnimationFrames, interval=DelayBetweenFrames, blit=False)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false, "scrolled": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "DFAnim" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "

Interactive Example

\n", "

In the initilization section above, we gave some resources for learning about interactive widgets. Armed with this information, we will again consider curve fitting to random data. This time, we will vary the number of data points with an interactive slider widget using interactive.

" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false }, "outputs": [], "source": [ "def DFFigure(n=10):\n", " x,y = DFData(n)\n", " A = np.vstack([x,np.ones(n)]).T\n", " mfit, bfit = np.linalg.lstsq(A, y)[0]\n", " DFLineFit.set_data(xx,mfit*xx + bfit)\n", " DFLineData.set_data(x, y)\n", " display(DFFig)" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false }, "outputs": [], "source": [ "DFw=interactive(DFFigure,n=(MinDataPoints,MaxDataPoints),continuous_update=True)" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false, "scrolled": true }, "outputs": [ { "data": { "image/png": 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OH0eZHTyIUnrySfpQV0e/8vNRhgsLKCivV+TFF+Xo2Jgc/dnPTAjeTci6OXTL\nsu4Tkd+0bfueq+/rReSwbdsDlmWlichPbdvessp1DofuyJtPVuOlBwZe6ekhAhgWFhrLUwQF0NLC\ng7uarMW9r1bX2bNYj7t2Ue/8PJbean3Rvk9MsHxvb8cCXVwEPGZmAM7BQQCuv59Xy4K7tW1oidXq\n1jmZnoYGGR8HaKursYCDQazSgQGiErpcjLOxkfouXgSgJya49qWX6Mv+/Vw7MgJI+/2A4p49tOfx\n0N/JScqkppJBaH4eAC4poU8aPCsmhjEsLTGXxcWMr7mZedT9g+lpLOGLF+lTYqIsxcXKv04dlUfG\nH5eH0m6XP5vaKwkR0SiK6Wnaqq+nb01NUEINDewFdHQA2qOjjKm8HAXS04MVr1EUg0GseI+Hz7/8\nZXMytKqK34XPJ1Za2uvKoX9ARL4e8v4HIvKRq///sog8vpGGHXHkF1o26jmyUR/2tSia1eqam+Ph\n18BQypPHxl5LC4UmIFZPEq2/p8cc4W9pAbjdboBPxMQjGR0FeFZTFMrV68bo9DSK4sEHsbLT0wHI\nuDg480DA8PoxMYD5+LjJInT77QBrXR1WaXY28/D881j5sbFY0M89B8idPIl13tcHWDc0MJ6pKVYC\nEREosYkJgD87G0u+uZnX4WHm6Z57GI/Gg1laErl8WU5M1cmerj+Rr0++JE9nPiz/4H2vJJTvZFO0\nvZ3VWXw8IHz2LPP8xBOsHPTkan8/q5hnnmFztLcXKz0sjFefj1ePx0STjIsjV+rOnSgkn497swlZ\nF6BbluUVNkS/G/LxX4nInZZlNYrIERH5/KZ64Igjv4iyEZDeqPvian7jeqxeN0M1zKuedLzzTixX\nvx9rc34ekH7uOVNWT4mqt0VtrTlGX1REu9p/y8LSTEkB+NrbURbZ2Sbq4WqSnQ1YJiaiBA4cMBz0\n8DDArAd4GhsBYN1w1eTKMTGAYFaWcdlT33jlxHXu+vooOzXFWNrbRX72MwCvshIQP3eO8bjd+Jz7\n/cxHUxMKb24OxeH10s7ICBZxZKRIU5P0LY3Lh48E5H3ybfm9yW3yQsXfSNWee+lDSgpKSz13GhoY\nR18fgPzAA2ziPvkk9b/rXXDpUVGMKymJNg8cYKUQE0P/EhJQNE1N0D1Kn+mew4UL6/yhXivrAnTb\ntoO2bSfbtj0Z8tmobdt32LZdatv2XbZtj2+qB4448oso1wPp1TZL1/IvX63saooh9Fh9SQlAqHHB\nt2+/NlyRdPh1AAAgAElEQVRATAyA3tUFKKof9sICYNPVhdWXmQkAJiQYjntwEBBV4Dx6FAt5ZMSA\novLvKivDCszPA9qhYQXUndLnM7x1YiJ/8fFGcS1f5aDz8lBcHg9eKU1NcNki8PI9PVj5aWm4GFoW\n/Y6MBEBnZvDbjo2lvtZW5qWzE/AeGiLCosvFXyDA3GzbhuJsa5P5wT75//N7pXL5i5KVXyUNv1ot\nHyh5t1ijo5S96y4okP5+gHpkhDn7p39iTA0N1Le0RD+Wlgzl9KEPAdS6Wjl61MTxaWtDEc/OMral\nJZRyWxv/Hz/OHG9CnOBcjjiylqwV5GqtzdLVrPfVyqr1r/z8ymP1Xi8Wr9vN8n1s7JVlExNRNFu3\nUpcu7d1uE0yqshKuubHRrAg0vVtJCXU8+yzgVF7ONU1N8OHXG0Nf37X9F8Ha37JiC21+/tqNYfVQ\nEeEzl4uxREcDaEVFAGJtLYpobIwDRg0N9HF+Hmt5cRHADQ9nzK2t8OsxMcxDeDj9VA+epSXe635G\nX588Fd4mvz34p1LozpCXqv5Fiqtuo+z27YCv8uvBIApxZIR+3nwz3L/GYVHPm+xsQDoyEq+VuTkT\nFiEqimsOHkTJlJaa68+eRYFaltkI93gMFbZBcQDdEUfWklDPEZWNeLSsVVbEWPyWBXj5fMb6X+mV\nMjxs+Orz5wH86WkASq393l6uOXPGAOvAgHEF7OvD8g0Pp57sbMDz3nsBU4+H8So1o2NZOYaFBeqo\nrQXsEhOhPTweLM7QyJH9/dAL0dEA6unTlNd5iI7Gcr50yVjzTz5pKJmYGJEvfQkgPHKEvkRFAZo6\n9qEh+p+VhcWvyiEtjc8mJvApf+c7RQYHpW3oinyy52/kUrBd/q7043LvTLZIznYT0rajA8t6cREQ\ntm0UbWcnY1laYs6efx5u/cwZsyoqL2dlpTSXCP1obeX1wgXjw19YiILKzDQ0UG4u1xQXm0QeGxQn\nlosjjmxENrJZer2yax2r183SYBDrs6vLlG1sBCwSE/muthaQeOopgLGmBlBKTwcMr1wB0LxecxJU\nX7u66EdmJla+cthKzYSOIfQQ0oULlNGDVBrPvbzcKKlAgE3TuTlAfn4eC1o9TXp7oXmWlgA6Ddvb\n0AAgz86amOaWxarh6FGs2awsAP3sWQB3aYm58/sBxYkJo3QqKl52cQw2XJLPnvz/ZM8zD8nu+K1y\n+YGn5d49v4TiamuD7hkZMUfyw8NZxRQVQZnoPsWFC8ZdUw9lDQ6K/OAH9LesjPuhh62mp1EGeXlc\nW1ZmlGpeHkqhsRFL3u2+NhrnJsQBdEcc2YhsZLN0vWVjYnjw+/qMu6JtG6+UiQkA0es1SRtiYwEI\n5dN9PoCvshKAamvDdS4/n/JqGebmmo03t9t4x2h8l9paA9Yi/P/cc1wzOIgF3tSEhZmfb6ghEYC1\nvR0OuLGRMvHxJgnE8DA0TVUVY2loYMxHjmDl2jYKaccOgD08HMCbncVrpKWF9nbsQDFUVDD+X/ol\nk5Sip4fP3G6Rnh6x4+Plu1mTUt74CWnovSgXCr8gfxRxm7jHp7DuY2PNvkdSEn7kuirJzzcb0HqP\nSkpQVsnJJljXzIzIBz4A6FdWMkednSiu5mZWSp2d9O/ECeZH3ULr6nCBFKHvqjhrazf183QA3ZG3\njvw8UshtxKPlemVXui2K8NC7XIBiVJSxjmtquC4/35RtasLa6+zEWvd62WCLjjZhXiMjAcnhYZO6\nLdSTYmzMHPCJjTXKJBAwc6nH0KOiuG7lZp0qra4uk/5NOWWXC2s+IgJ6x7IAvPR0gNGyTJiDlhaz\nCazcel4etNPMDOC9bx9jGR8HBAsKUHCpqQTbuukm5mFmRiQiQuobjstdEV+Tz3pPy5dTf12+ufRu\nyW6/SqtoUg/luisrAWmv1yjdwUG+q6oCpM+dA6QbGlBY+/ejXDweNkfn5lg17NwJiE9NAdg5Odyr\nXbuYp+Fhvh8c5P8tWxh3IGAyWW1SHEB35K0jr+Xx++vJRqIyhpYdHwcYW1pM3I7Q2OKZmQBGXh5A\n7vNhzeXk8JnSM/HxBpQOHwYc8/KgYhobqVcBu7nZuNtdumQ8ctrbaTsiAoDVzPWlpVx78SJUQ3s7\noHnmjEn0EBODNSliQC8yknGqq6Ty1wsLANRTT1FeT1mqBR8I0E+vl/Hl58OjazLniAi4eE0hpwkt\nEhMJeqV5OV0uwL+wUCbaGuRTPV+SW6wvyzu9O+SC75NyW9UDtB0ZiQIYHQWIs7NZ/SQnG4Wr8dg7\nOkx2I8sCwDUqpMagefJJrj11CnDv6QGg4+PN/kJRESuN4mKUjsfDZnVrK4pqehqFp3sNeh82Ic6m\nqCNvDXktj9/fSDbCcYaWbW010RPz868NJZCSwonLlTI0BKCrf3pUFA++uurt32/KdnfD7Wo2n7k5\nyiUkANCRkQBRcbHJoHP+vDkYEx8PuIaHA+RuN6FcZ2d5Hx5uuOCEBL6fn+dzy+Izj4e65+b47ORJ\n+hYbS/26abi4iHXq88Fdx8UB2urlorHTo6Ppg4blLS6mvkuXsIRF4K9tW5bdUfLVuDb5w/ivyttm\ni6R2579Jiu1lbD099Km3FwUYHs7ceDyA7qVLzF13N3XaNm3NzuIJ5PfTXnMz1nZtLfdPg4DpZvWh\nQ8ZttL3duG26XNwv3WvIymKsy8tmxVRW9qqscxEH0B15q8jgIBZfqKyMSfJ6hbpdj4QqnFAeWxWO\ncu3bt5tcnyImPK1mFXryST6LjQXsenpMFiJ1b9SNPj3Or/7r8/PQBm43dXR1oSzq67mupQWQ/+lP\nsTZjYmhjaoryQ0MAnFqRNTUmhZptU6aiAst5ZAQaITMTwLv7bk5O5uZirWdnA9geD/TJyAjtNTRg\n0VZXU29/P31ISDCp7nSjNyMDIB0bk3MLnfLx8KdkcWZavn/vo7K3dlxkYkkkLgwgv3CBOczPN6dM\nBwdRkkNDtJmaisLs6MDvfGyMtvv6TDREnw/r/YEHRL73PWNtazjcm29mnA88gBKNjmYDNyLC7FPY\nNvd5ZoZ7ERv7Mud/3UNd6xCHcnHkzSPX48jXswH586JkVpPQvoTy2B0dZqmfk4MFqxIezoPe24tV\nm5GBRV9TAwgWFWFZTk2ZELjKcUdG0qaGsd25E7DJzgZgOjtN6Nv2dq6xLMNjK7UyPo41LUIfm5o4\ncBMdbaIdamwWTQE3MsLcTk4C6JGRuCxu307fh4ehKMLCKDszY3jzAwegW1JSmKe9ewHt/n7KaMCt\n0lKRpiYZ7mmSX1/4rrxj6l/kY+lvl5PZfyp755PhvV0u41mTlgbPXVLCqqGlBcs7EEAZauRIj4ex\nDQyYzeG9e4nlfuUK4x0YoA/vfS9jVE+dyUmUYV4ec1paSl0xMeQnDQaZl8xMcwpVf7OxsfRThHnZ\npDiA7sibR64HyDfarNxoQudQ2Wyy5tCyKxVOKI+tPHwgwHe6MXbqFEC5c6fxSsnNxdLUAFwFBbxX\nF7mkpGujLUZFcY2Gyo2I4P/BQYDniSfw8/b5uObYMfys+/uNRR4aluC++wA+zY2ZkYG1u7zM/ejr\nM/z/3XebQzJzc9AWMTEologIFM3MDF4058+byIlpaSZt28AAymtqCoWXkiKyZ48sDvbLF688KuXD\nfyoeyyUNRX8nHyv9gIRFRuFJ0t5OHbYNQBYXc73LZU6aRkRQ70038b2eLu3rE/nOdwBwn4/P09Lo\niybSOH2a1/l5kbe/nXo9HpRRQgL3PRDgvpaVcS+GhxlTdLTxZNH/W1q4L8Eg7QwNreOBeKU4gO7I\nm0PWA8jX26xUCzkUcEXM5t71pKsLUFNFceHC2qC+ltKJjTXHu9vb4WpdLmiKlBRzbL601FAaiYmA\nSlWVSaIxNAQPe/IkQDU2RlnLwvqcmzMBusLDcfdbXOS6tja+V0BV17ixMcB8eRnlERdnYrYEAuY0\np8dDXZqYYWEBkM7MpO+NjYx3fh6OODmZMV64AFh9+9t8lpnJPVTrOCzMcNpf+xrjCwsDAOfmWMW4\n3SiP6Gj52dH/kF2XPyHfHnhenkv+tPxP97skvmuIPng8hpefn6fOt78dOmVgAEVVUMCYDx5kHOfP\n452i9zc8nHYvXqQejbE+Pk5fRkdNMoycHD7v6wP0CwqYh5kZfjO6+rjzTpNsIzLScOUaYCwYZJXQ\n3m7mcxPicOiOvDlkPRz59TYr1UKenjbH2Pv7bxwzQxXJ6Oi1x99raniYFxZ4oOPjjXvfjTZmNdiT\nKhc9uKNhc3UMyckAyNmzWMOtrXw+NgZ9MDR0bbxvERPlMCcHcJ6aIqtPZaXxIlGru6cHd7+f/czQ\nH4cOQS9s30757m76X17O2E6fxmKemKDt4WHcCV96iesjIiiXkwMQxsUBai0tgGt3N0orIYFyeqpT\nefOyMuZHlfJ994l8/esibrf0dFyW32v6ohzvOyV/nfh+eTDxZrFcLspGRUF36JzcdJM5rj83R3+V\nRpmYYJVx5gzjeuklfgslJcyD1wswezzw5Fu3cm8KCtiALSriN9DTg6JJSsKLJSeH38ixY9zv7m7q\nio7mc7Xa1ZiIiKCvS0tY7nqytqNj7bDLNxDHQnfkzSGbCVEbKrrBJmJAWQQwuR7tom55oauD/Hwe\nOg2qlJxsOOS5udX7PTEB6OfnAxrl5SzZl5auje+ysu077gA4Ll8GyBMSsOZKSgDIwUGs+LNn4bd7\newEy7cuRI4wxKorXsDDmIS0NIO7pwXLUrD/HjwP2UVFmXmJimK/JSWNl1tfz/dQUADY3hzLQVVFf\nH+UbGgDG+XmUxNISSkHdLmNjAXD1LklIQMF0d/P90aMyl5Ikn+94VLa99GHJH7WlfvSD8pBdLtY7\n3mFC0Q4Pm/ycd9zB6mNgABfCyEiU/fAwID48jCILBhlvWBjKsqMDQM3JwaLWULypqYbmqqhgbiIi\nmFv1ty8qMrHid+xgLOfP05bGZRkbY7x5efwO9MCSRlrs7GT8oRv3GxQH0B15c8hGQ9SuJuqfHUrJ\nrHVsXyUlxYSZVWlpwUJWiyohAcBTC3RkxJQNPaSSknItdZSXZzZHRVYfn+bIVC+QlhauGxwEyJaW\n6IfHA4j29gI+0dGM9/JlrPPubvqpm5zR0Sgq28biVi+WtjbGMT/PX0YG87W0BED6/SiBoiK8O/So\nf1YWQJSXZzYWFxe5LiMDXn552bhnjo6iBBISsE7VLzw5GWWVlSVy8aL8pPb7Utn0u3IioldOLX9M\n/iLpQfHtOwRQXryIco6MNHy/zklrK2MLDweQ5+aoe2EB4NSojcEg85CTw/wdPIjVPDuLoqysZO41\nG9PWrQC/JtcIBKhPFYUqVBFWSH6/MSRCI1J6vWbzdGqK+jMy2E/IyjJB1DYoDuXiyJtH1op+uJas\ndFPU2Nah4DwwcH0rPzYWkGhrw9KybR7g8nIexJQUvsvLM8mRT53iwI8mctCohJp1R6kjBXkF6txc\n018NiavKZu9eyuzaBYgFAuboenq6ydCTlER9i4uApN9Pndu3m83Snh4s+txcAyqnTtGv5WXqePZZ\nrFH1H9dAUhqfva4OgGpoAOSqq3mvdMvcHGDY0WEyChUX4+2xZQt9nZ3l+txc5q23l/koL5eWljPy\nOzP/Lg0yIH/ne1DeEbPLJJfo72dV09nJxufJk8xJRgbjbW1FoczP0/7gIFb48eNY1Z2dfL68TCCu\nmRlzOre+3tAeWVkmTV1HB3N8/DhjKy5mPhsaaEdTyelvQoTrY2NN/ldVOBqjJjyc319MDP1LTKQu\nPWS0CXEsdEfePBIaEzw0FvdasnKDUjPobNTKLy83x7XVZ7mzEwBsaTFhaXNzsTiTkgC+0I3ZUFfF\n9vZr21ZgDx3f3BwApn1XSkJlaAgACD0V2t1N+a4u+OSREbORmp5uMs5XVNDH+npzbW4uZdLTuU6j\nALa0mAxAuhrRHJ8ZGXDHzc0oBgW4s2eZ39FRxtDcTNsaRCslxcR9j4uj/XPnRHJyZLq3Q/74yd+X\nfU/cLwfdJXLZ92l5x9BVr5E9e6Axzp9n3MPD9M/v557o/oAebmprM+GIh4fpT1sb/Z+aMve1pIT5\n2LbNrB4iI6FdUlIAZg2g1tvL+8lJ44J4yy0mcXcwaELuqhtk6ApNQyhMTXG9Rp8cGGCMR46gPAYG\nNvOEOIDuyFtU1soKpN4JbW3QDzey8kUAgB07TF1uN0AUHs4yXARgCA+n/r17TfTCUKWTnY1V2NiI\nhbu8bLj3UKWyWt81m5D2fXbWpI3Tk5BeL0CTnm6y5Zw8iZfMxITxyFD3RT19OjNDOjgF7Lk52rxy\nhfItLSY1XU4Obaamohx27cJa3bKFeurroXl6ewHt0VETjuDFFwG/zk5D53zoQyLt7WLv3y+P9T8v\nW46/X1rbzkt13ufl4UClRG2ppP7ubnJvJiaiSKOiGGtSknFn1JABkZGsAAYHDf00MGDcAsfHUWCN\njSiSzk5DUX34w/Rx+3ZzmlapmuFho0THxsy8qbXu9zN3Q0Pc95ISE9UyJQVw7+01NNXp03yWmmqy\nMnm9XBsMbupnvy7KxbKsOBH53yJSISLLIvJREbkiIt8UkVwRaReRh2zbDmyqF4448lrLal4xU1NY\nzvn5JgHCyuw8a8lKDxrdvMrPN6cb1SJfa7PW5eKB378fUFlYAHArK423iwigqDy5WsRbtgBYmr3H\n68USzs4GQDweXltbURS5ubShsbkvXTKblAUF1L1rF3U+8IBJFVddDWjV1gKKGk1QxKwA3G4UgtuN\ngtm/H08Urxew27UL8LYsLPvCQgA1GIRr3r4dEFtaErl4UWoTFuXjQ38tI8F++c9DfyW3jF1VbvFX\nNzXz82lHk1iIAM5FRSiFkRHGnZLCeBsaAM577+U1GGTMMTGMJzqasdTW4sKph4rCwow75soTxbp5\nnJjIbygsDL5dY6hv335tfBzbZv6Hhymza5cJ+dDRwXxrhqqhIfo8NkY/i4rMODco67XQ/6eI/Ni2\n7S0iUiUiDSLysIg8a9t2qYg8LyJ/uKkeOOLI6yErNzsnJrBsy8oMrREI3Phg0VoHhRTgCwuNF8eN\naBy1vDUQ19gYADE2BhB2dfGXno7VGOrz3tsLOGiiaPWLX1gA6NraAM3t2+lXRATKorgYS3B+nvfZ\n2YDJwgI+3zt3cq0IIKwHfqKvZrpfWgJUVdlMTzPexES+syw28mJiGPMDDwB4GuwqMxOwUu+RkRH6\n2d4u48Pd8jtX/l5um/1f8m67TM599JTcMpXE+AYG8MJpbTVW644dJpBVaiqrpG9+kzKBAC6ON98M\naEZGso/Q3k5/NWZKRATUjcvF68KC2TfQlcxKqu6nP6X/qanQLYODtHf+PCu0YBBFrcorPp4+6cnS\nxkZWN8Egcx0ZyfzcfbeJE+P1Uv+JE3D1m/RDvyGgW5YVKyI327b9ZRER27YXr1ri94vIV64W+4qI\nPLCpHjjiyOshK71iLl8GhNLTDY2RkwOdcD25UbiAri4TCta2eYjT0lZXAqGWe10dD/LWrQDK6KjJ\nt7m4aDxFfD5ogePHccfTE6M9PQDX0BDg4HbDCft8tOH3A1inThk+e24O4K2sZOwaWGt8HKBTK1WT\nSe/dC9/u8xmPlIYGE5t9cNCEvlUQqquj/+97H+CmgFxd/bL//PKJ4/Kl8/8uW2r/uwTd4VLbeo/8\n1vZfl4iISPqVkYH1GwiYzcG9ew1ffcst9HNwkHHOzHC/z53js/h47vM3vgGgNzUB4P399K2ujj5p\n9MPcXOYqM9PsiSjdpUorKYn3o6OUdbsZW3097XV2Gp7d7Wb1l5XFNSL4s2tibRFeAwH6qVEgZ2ao\ne+V+yQZkPRZ6vogMW5b1ZcuyzluW9a+WZXlFJNW27QEREdu2+0Vkcyk2HHFkPbKZWOehJ0dnZgCK\njciNTqeGWtzqW5ybC4CspgRCfdJnZig/NcW1Ph9AOTl57YlR9bgID2fMXi9AoenKensNkKi3SWcn\n1uLYGFZ3YiJAdOQIiq2qinYOHcK69vvps3Lvhw7Rlo5DowNqZiKXC+BVn/TcXHzHe3tZDezcCWha\nFu3u3fty6Nsz47VyoPSY/FtcizwR+RH518rPSLIrHqteIzrq6dDxcUDv1Ck+b2sTefxxkW99izl1\nu1mRVFQAxouLAKwmpVCqR7MGxcYy90NDzLkG3dK9Dl3RhdJlg4OAvvrd+3wogthYVhCqxOLioJ6a\nm2nP5WJek5JoQ3338/L4i4jAOj9yBIXr9aLEDx7Eot+krAfQI0Rkp4h80bbtnSIyLdAt9opyK987\n4sjmZSWAt7ZuPLBWqNfInj3G80SpEfVUWUtCLeqFBazioSGWxT09JlZ2qKz0NQ5VArpqaG42Ufs6\nOni4RbB+z583Y19YoL25OfqpeSY1xsipUwBscjIWsobX7evD4uvshC5JSjLhXKuqAKCICOotK+P/\nnBwUiFr6R44Ahuq+Z9soxH37AKjUVK5NTKTuO+/E+t+6lfgwR4+iTLKzRZ55RgaLM+RX5x6T+0e+\nKL/pPSwn8j8nu+VqjtNPfIKxd3czp5p9ye8H5DTnqcdD/2pq4Jo17ktUFH96mOjZZwH14mI8VyIi\nKL99O3Nz6RLzuHUr4BlKlRUWGmBfWEBJ/PSnXHfqFO20tTFWrxeaJyGBuWlrYy7q683mcUkJ9W/f\njrJsazMce1ISh7JEWOmkpBCJ0uczNNgGZT2bot0i0mXb9tmr778jAPqAZVmptm0PWJaVJiJrns54\n5JFHXv7/8OHDcnhlVnFHHAmVhQUT7tSyWF4HAtcG/d9orPPYWB62wUFDj8TFXf96tahTU1EgGp2w\npATrVz0p1M9chIdZkzSH1qMhCtRTRXNnFhZi3WquzNRUrOikJBPTJTubtjIzjUI6fRoQKS42OSqH\nhwEuDe6VkIDFNzAAwBw9Sv2nTtHe5ctYlf39hrPNyaF8UpJJbKF+5QcPcm90PMnJKCe/n3HYNu/r\n6+Gyw8NlcWRI/qn9m/K5ycvy4ex7pT78tyXuaLXIbcOU0bHk5pqwAFFR+JdrfJc9e5irtDT6q26d\nunchYkLx5uYC+B/9qDmleu4ccxcM4pXS1mZO2w4OAtYxMebUpyblVvdSywL8L18G3DMzmZPhYcrk\n51Ofxp4ZGzN0kVIp0dGs5IaHTVTL7dtN1Mm0NDn66KNy9MQJ7qvmmN2gWLZ9Y8PasqwXROTXbNu+\nYlnWZ0XkKjEko7Zt/5VlWX8gIgm2bT+8yrX2etpwxJGXpaaGB0wP8qgl6vUCigsLWKv6MK03rvlm\n4qG3tgIK/f2G5snLu/akYGKiURKjo+ZAisrAgMkhqXTL9DTXdXcDMIEA1EFyMiuAlBTjrpiZCYWi\n+USXl1F4hw8DWhkZAP6FC8ZqDU0KrfHS29oA6NxcPi8sZPylpXD0t92GgrhwgXb9fjxpUlLoq/q4\nR0YCXBqj5WMfM5zy+fO0tbQkRwdOycetJyU1MkH+fnSflIelouw0F2dMDPTO97/PykFXCidPYvkO\nDbGa0I3bnBxA2LZFHn2U1cJTTzEPw8OUe/ppQ4GlpIg89hjj6+jgt9Lfj1K4coXPg0Hqy80F3NX7\naHqaz+PjAfrubtpobmaeGhrwXBkepq0zZxjDT37COK5cYc8jEGCsly/js+/18tvp7KRe3dxubmYO\nCwp4HRoSa98+sW17Qxkv1ntS9BMi8qhlWS4RaRWRXxGRcBH5lmVZHxWRDhF5aCMNO+LIqqKAt22b\niUiXkwPnOzVl8nGK8BAq/aKZf64nK10PldpQUU+OUNBPSwOAuroAjKQkHtjJSR74gQEATAFdTwKq\nZbfaadHCQhOga3qaPi0tmWw8cXHmOPqFC8xJRgb92LaN6w4fpi96mCUsjPIvvSRy660mdvnUFNx4\nfDxW3003UT4iAqtTIyJmZaE0ysupp7ER0ElONsDzve8Bgo2NtPHccwD0qVNY78nJIsGgdMXa8umR\nb8hJqZO/3fJJeXfYVrFqa1F21dWMv70dUIyMxE1vdFTknnvMXkdbm4kb3t4OPz8zwziUy//xjwHa\njg7uTXi4ORXb1GTCAGh8GrXAw8PxmNFwAeqV0t/PGCIjqTM6mjnSk8B5eXz24osm3G5pqVF+x4+j\nlHNzufetrdyjgQE2ojURSGMjSkFzvjY3M1alzkJjDW1Q1uW2aNt2jW3be2zb3m7b9rtt2w7Ytj1q\n2/Ydtm2X2rZ9l23b4zeuyRFHVpFQvry+ngc8NAN6TAyWn89n4mKIGM+K0I3KjWyerubBsjJU7uXL\n154WjIszlrMmXYiLM3V2dJgY56uF8VUax+UyEQc1j6i6L87NGT/piQnArrUVpTU0RN+WlrCOCwtN\nPHS/n74tL5sDUDMzJu5LdDSKYHERBRO6tI+JMRTD+fMmhvctt9DX2lrD9WukRr/fJKE+dkxmp8bl\nL8NPyI6mT0tpeLLUf/ikvGe+UCz1jb/5ZhSPywXNER+PRazhBXp7UQ47dzL+hgbmpbOTuWxo4Lqn\nnkKh5uaK/OqvYvF2ddH3d74TpeZywaVnZ9O/5GRiv7hc1HPlCuNQ/331M8/Lo171Az9zxvwW9ORp\nejrzo9a2gv/lyyZuzNvfbhJRh4ejZPLyuE/FxSaqo/6WNERAaAC4TYhzUtSRN15CgTUnB/AKzd4y\nNAQ4hYfz8Ph8q4Pkyrqut3m6mgeL0hmjowCAHst+4QWAp7YWCqC3FyCrq+NBnJ83cVF0s1Pjl4sA\nFj/7GdZpayuA0tYG8ExNmVjf1dVYvSMjKAulPmZnTehVjbsdHQ3IaMCrlBT6vWsXYNXYCOjExgJi\nycmAzPw8Vn5vL31bXjavVVW0m5TEnO/da+KDV1eLvP/9gNT27bS/fz9gmZMjP2x7Siq+dVhOz7XK\n6cQ/kD/b8SnxPvk8SkAt6+Fh+rO8jILMy2NsbjcW6tGjxlMlN5d7p4pj926s4R/+0Ci4rCxz0En5\ndoZaZPkAACAASURBVAXi6Gizn7B/v6HqNKlEMMhYw8JoR8HU5eJVc38+9xxKr6sLhXfyJPfqhRe4\ntr2duh57DGWiaepqa1m1NDfzqtTe4CB1h64Mt2xB2aifurpabkIcQHfkjZWVwJqebqiVYBBLLBgE\nqNxus+GoD4g+pJZlEgmvJyvRaqc5bfva/igFsbRk/KGnp3n4NPZ5c7NJphAfDxguL197QKWhAQW0\nuEi5iQlzyGVoCMAaGuLz/n4T7lWDQKlrZGKiOZE6NWVivPT3Mx7Nk1lRAehq4meVK1fMvoHSWZru\nzLYBNeWELYv+NDaiWGJjTbq7uTnA8tIlacryyDtqPyOfmv+h/OPOP5LvF/yRFGy/jWtPnTKxxS2L\nDcXERPpYUmLihbe1Ua+IycE5NgZg9/SYQ0S33075vXu5JxrKYP9+6ujoYC4OHTKZhbKyzObxwYNY\n5HoAy+835wHULTPUAFhYYLVw7hz/z83RZnW1WfmkpnJ9eDh9U2t+Zob+ZGTwG9YVo2WxR6Qx8AcH\naVMplp4eViQnTmzqcXIA3ZE3VlYD1rQ0gE9BeccOLDiNGx16YKixEaAMD+dB6O29ca7RtT7XJL4L\nC4BRVxcP74ED9CcvD2BW7wg9cJOTQ7vqApedbf5vakIRpabST9tmDENDfFZVhQJwu002oPh4LOq7\n7jKboroR3NSElR4IUNfiosg//zOeIiLQJVeu0K/JSRSOhomdmTG0UnIyK4SLF42bY06OSWDd10d9\nGRmGIhobQwkFAjL19A/lM/X/KAfO/w85nLhTLu3+d7lnMZ9+BYO0eeut1KubsNHRtFtVxRwotdDc\njDKqrDQhAXp76Wds7MttSn8/oFxfT71tbdTb2GjioczPG2V/+jRz6/GgjGZmAHvNMLS8jKKoqGC+\ndI4aGrDEZ2agtNQFsazMJApJSDBZl4aHOSHb0WHcRdPSGNfevdeuNmNi6H9fn/FGUl/+nh7qTUgw\nbW5QHEB35I2V1YA1MtJE5Qs99KHArweGFHQ0jrZa73V1pq614qqsFl89LAwwuXQJC1w3BycnASGf\nj1XA0BCf5eTw4Gr+Rz0Srsk08vJ4SHftMoGYPB6svpoac7goNtZEAxShP7m5gFpNDQCdkQH4atah\nuTn6OD1tTipqVvuhIZOdyeWij319XPPCCwZ4tm4FYGZm6JeG4Z2cNECqvunt7SLLy2KfPy/f6HtG\ntnQ/LJ1JEXJxz5fk98o+JpGBKbOBqgro4EHqVvrpwAFAeu9e+pidDR++ezdzX1hI28nJtDc3B+hq\nvPfqarPZrIG/JiaY48VF5mN+nntUUMCcPfEEAL24yHwODbGPoKEUdLMyLs7snTz/PPNy661mT0VD\nEStlsrjIvAwPs2ryepm7uDiTyerWWxl/bi7tarTO0lLjRaPus8nJKIzkZPO72IQ4gO7IGytrAWtY\n2NphbtVbRX204+MB27Q0KA+NDKg5IGdnr90g1Y3TqCiAQ71NvF4eLrV++/sB8q4uY/Up/5qTAyCq\nn7HXSzsKslu28FpVBSXk95vNyo4O+j0wgCU4MGD6WFTEQ93VhSWXkQH4PP44YD4+buKqa7ai97wH\nEI2PZ+NR46p3d6M8cnMNnVRcDHBkZpqkEt3d13oJafCvZ55BifT2iuzcKRfrj8pt1lfk80Pfk6/t\n/YL859Y/kYwJ27jcZWVxrXrRVFczlzU13BePh/t69izzlpJiYsMkJWFxa5LlwkLmoqmJOe/pAaz7\n+qBeNImEBuXSRB+zs9wrr5dxBwLMf1gYYx4YAIT9fhOTXYTxx8fz2a5dbAZrMK7OTkN1eb0omsxM\n7lFOjklyERru2OtlTIOD3Hc9SZyXxz1MTDQGS2YmfdKAZ+q9tQlxAN2RN15WS+58vYTPKqtlE4qK\nomxLC2CpKds0+JWI4bYTEnjA5uaoo64Oy+yee0yOx6Qkk9ChrQ3wEYFSaG8HeDQJggh0TGQkn2s0\nvZMn+b+mxnCmqanGAg8LYyWgB6c0V6fLBWBFRfH+nnuw+p56ij4rT6zJJWprDVUxOGg2Fvv7r40P\ncuAA1yUmMleFhYYWEAH8+/ro49iYjCV45ONz35M7or4pDyXdIue2/aPcPBDFODMyAKLkZEAtIgLF\n29PDuDV+SlgY9/L++02Aqp4ekU99ijJZWdBcmq+zqIjP1JdbqarycpOEYssW3l+5Ql8DAeYhMZH5\nPnECf/a4OP4WF82G5tgYCq2lxfiea7LmvXuNAi8vB6gvX2YO5+cZ49gYvwX1cNJE1yt/r2udHNY9\nAxHj4aK8u4Zb2ISs62DRqxHnYJEjr6usPIQ0MMAD0dxsKITQzxcWeFhXHvzRCH8iJpbKwAAP8dIS\n18zPA0QlJTx4SvnYNm3FxmLpqS99YiIbiouLgIsqj61boQE0F2VmJodrcnJePpQjHg/1NjQAKrrp\nWl7O4RWXC6C3bazo7GyTo/TMGb6/5RbAanKSPu3eDeD7/WwKnj8PqCUmUr6szGxCf//7slxZIV+q\nf1T+OPgjeSCiQv783f8o/rN15pDS7bcDkJYFlaDWdE0NVIbbzX1YXOQQ0OQkcxoebqxopR3GxgBN\nPUofCHDvurrw+1Zf+oUFADUtjevHx/nLyWHseuApLw+wTknBCl9eNhvUSqdFRQGsHo9JyqynbkN/\nH93djE1P127dioLNzWUceqBs5QlhEcZvWdf6l/f38/vZt898psm9PR76V1wsVkLChg8WORa6I29u\n0awz3d1YbktLWNO2zRI31Cpyu7GEQz0MNOb4sWM8qEqpnD3LA9bSYkK35uUZYNfsQ21tLP+7u00y\nYI+HB7ahgQdWeey0NJTP0aOGsklPp6+VlYDt/v0mLO7CAg+98tJLSwBEUhKrg+ZmwMvtpg967FwP\nE/X3035dHYD7zDOGe/7P/wQsNXjV3JyhqJaX5dSuVNl3/jflywtn5cfZD8v/KviE+Bs6UWI1NWzY\n+v0oj6wsrlWg14TSGqwsMdHQCRrtUgQFmJREH7u6UA6nTwO0uul5/DjX7NsHyI6Och+8XlYFIyMA\n6bFj5kCWxyPyox8B5j/5CSuB/n7619lJfxITmXPNcuR2m3jqKynA+Xk2U+PicPmcnzfRGXV1uFZc\n/ZVZiqaneV9Vde1nBQX8xlJTjYLbhDgWuiNvHlnr6P7K2C8jI8aKU0tLQwhkZQGcW7ca6+jECcrr\n5t3CAh4gUVE88Pn5JrxtW5vxPZ+eNkfsNVpiVRVWnEbXi4sDNHfvpoxtA6aHDmERT0wAXtPTtJmX\nZxI9JySwGhgdNanVzp833j4JCXw3PGwoKg1mFRFB/3VONMvR/v1QM+PjfLd/P9/HxIgMDcnA3Ig8\nfPbz8vRCo3y++DfkQzMlYk1OApqXL1NHbCy0TUoKlmtyMoA5NQWwarTGhgY8SKKjUT6pqXD8DQ30\nb3qa+o4dA9Dy83ER1LgqS0vmBGlqqgkWpjFr1BtmYoL7mpKCwtH9iPZ2+q2rtO9+l/m9+WbmXpXz\nM88A6JWVq58Wjo42FEkwyPylpDBvubnc9+udVG5tpf/6exsYuH75q79zKzXVsdAdeQvLWoeG1JNA\n40/Hx5tNQbW0lP9eLRhXczMPuFrT/f1YhPHxWE266bqwAFhMTJiEBpcvG7e/iQmzPC8ogO/Ww0oJ\nCawm/H6RBx80boYdHbwePQq4XroEsCnloN4po6N8p26Z3d3GutbUZocPo6iysiifkcF4MzIALOXK\nGxqglHbtAozDw2VhcU7+7ujnpeLFD4k/KlHqy78oH26LBcwty2QwSkyknxMT9D0hgROZAwNsuG7f\nDkieOMG8zc0xBo3b/pOfALI+H31cWsIbpqSEMdx8M6A7Ogooa8IOEZOLNBg0bocZGUaZdHebjem0\nNNq79VbANDWVMcfEmHAHIuw/6O9Gf1Mrc9dq8LLoaJS0Zj3yeFhB3CiN4Xr2g0JlZYiKDch6Y7k4\n4sgbK3rgR/M5ivBga9zvwkJAOzXVPPQaS0OPp+/YYdKFjV+NVDE5CRB2dgJwulkmgrWtkpLCJp9a\ne3V1tKmJHiIjAbDjx02M7ZQUgFBDrqan80DHxKCAGhqM22N6Oq+3344y8HjoS1QUvG5zM+1q0ue8\nPGibK1dYnWRkMDbLMr7n4+OMS4OaaQIHDZCVlCQSDMrzrm75xAsPS4YrUY6V/a2UHXqA1HRhYYwr\nKwsgKy01p1Y1i1BTE0A+NUV/KyvJhBQImDmOikJB2rbZqNa8pm431ytlNDNjwtrOzfGnB3gGBwFX\nzUjU3w8Al5cznltuod3UVDaO3/9+c55hYQGa6FvfYiW0b5/ZiBShzZWhjkN/d3qIS3OMqnGgFndW\n1tq/3VcB0BsVx0J35BdfFhYAFBHAS13jvF48FhISXplpJiHBHFLRw0n6YI2NGcC1baxODcUaFQXw\n1dVxbWi2ocREwFgt+ZkZ4wWxvIxy6O+nTnWTvOkmEx2xvh4g+8Y3UDpXrgC8MzOA0cAAgHHhAmB9\n9iyg2t8PmKakAH6ZmViyaWmA5sgIfTp5EsCNiwMIdVUyNcXnNTW0e3UztbP6BXmo8c/lYy98Uj43\nsk2eSv20lLmubqweOkROTt3UvPVWw8uPjdFGXh6f+f20sbzMfcnLY8Vj2/Rfozh+9avU09+PNd7W\nhiI6fpz+7t5Ne83NAGx2NkDd2Ql9Ul/PfCUkoDj0ZPHiool77vFwjyoqoKf0PutK4W1v47qnnyYc\nQ2SkUXgirzwXEXqOobGR+x1aprycz9eKIbSZxCyvQhxAd+SNF+Ul9W9lxnP19x0YADxqaw03XFSE\n5aQpwEI3stQq1MNJSpl0dJiQtT4f12rsDrUMS0poW5P5qk95fb2xKmdn8cBQCqilBbA9f96EfnW7\nqUc3Ao8dA4RqagC+06ex7v7jP7Ccn3qKcseP05566+zbB2CdP0/yibo66B7NzBMIYN1nZhoKRpf4\ns7OMa3hYJCZGZueD8rmYC7Jj6q9l66AtdcFfkXcd+KhYXV3MUU2NCdm7bRv1FRdzHyoqTCz46WlW\nO1NTgOj0NOPdvRswzs/n/rjdjGvnTvJoVlaapM1NTSZZhHr0eL1GKZeWcj80QFdhIXVPTADueXkm\n09Hly/zf0mL6qclRgkH+ysu5prwcpRMeznwr4NbWGh5d5FrwLi1l3nt6zKli5f/XogPXG1voNRIH\n0B154+X0aQA6NZVX5ZdFzJJX06O53VhVra3m+PzEhMkMH8pTrjwlqg9XQQF1vfQS9IpGzVteRmH4\n/QCoiHEzy842y+zmZrhXTajg9QKYXi+W7dUwslJfT7mICMBa+fKdOxlPbi79OHWKsleuMCYNJeB2\nA7DJyYByURFjf/FFE7Y3Joa/oiLqnJ3FqvX72bisqKDNnh6xo6PlcVerlE9/QarnO+Rc5p/JZ4e2\niqeglHqnplAMY2OsfM6fN9SKxmXRXKzDw2a1Ex1NH4JB7kNxsUk8MTeHcqqrA8zb2kyAr9RUwDc7\nm3pOnwYo4+PZHJ2ehl9PSzO5RF0uc3K4qIhVTEYG91IP+ZSUoJTe+U7mU1O67d3LbyU+Hi+V5GTm\naXiYsWt8m0DA/GZCD74lJvIbOnOGe6pKYq1Uhd3d109h+DqIA+iOvP7LwuvV391tjvmHvupBmFBQ\nLi9n8zAQMBuPykkvLZmHJjoaKuLCBR7A2lqzsaUPVHk5Fpf6YE9PXxvJUemZkhIe+LEx6tu61YBV\nYyMgqjksk5J4f9tthg6orqadggIs3rw8+nrffcYLo7qaAzcvvEB/OjoAkieeoA71SvF6sVD1gFJT\nkwnsVFyMQtB0bEo5hYeLxMZKY6lf3jbzb/Lw4KPyL9v/RL6T+UnJq+/Dmi4vN6EM9F597WuMdWTE\nuDfu2sXcadadwUH+T0tD+WiUwaEhrg0LYywDAygxjbsTFmbCI2vKPK8Xb5b+fkMh9fdDiywumhDA\nCq7R0SgAVZYlJfjjLyzQX72vyclmtRUaQkJfvV7aamzks4ICE5hNf69RUcy/Jn6OizOGgx7v15WY\nSkoKda7kzteKLfQaiQPojrz+y8KVMcYvXDCgrrxkqCgvKXLtAxAMmuPiWVmAx/CwiTcS6k1w/DhL\nao0m+N3vAnKh1lRenvEnn5w0UQ9DpbrapGATwVL1+7EWCwvhrV0uowREeNVEDG43/Z6fN1EHr1wB\nfPREYF4eoJiVZQ7VWBZgrPG6g0FAZedOLNLMTIBFj/XrycWREeb6anq8yeVZ+f2Rb8hB+3/LnXa+\n1Oz9stwZvJr5KDwci/7KFWNla1KJHTvwVAkPZ85SU4lxsrhI/7xeE81RE3xkZwPO4+MmzMCuXVjt\n4eFY3RMT3BOlbXbtAnAzM5nPhATjVqoHgnQfpKvL3OPpaZT+li2A/siIicopQn9raszqTn9r0dGs\nEjSURF0ddeo5g/5+fmN6raaO09PEHg8Ke+tW/rxe+qB7PCqDgyjyleC9Vmyh10gcQP+vLjfKbP9a\n1a8xxjXcqAbQUl4yVOrqzDF4XfJqdDo9FOTzAQyxsQCIxvBISQE8i4sBg5wcAEX56dAHSv+fm6ON\n9HQUzYsvYj1rhL7wcJbZ4eGAZXQ0luedd1JvQYHJQjQ9DUDqYZZdu7hGM8xr1MAXX6SMhsg9dsyE\nZp2bY5x3343yUwpD83YeOYJlvXOniTkyOQl9cdWzx/Z45NGZ01L20gelf3ZYLp3fJ5+Kvksim9u4\nD5cvQw8tLdG3y5e59uRJ2iotZb7j4uC8W1sB4cRELGm1wjMz6W95OfNfXAwXrorA40FRVVZCY9XW\nMu+Li4Yrn56GOtGQwhq6NzMTRadxVzQZhG5m79zJfcrJYXV0220mfs34OHOov2v9PU1PYwQkJnIf\nlHIJTZZSXW08ktQSV7fU1SxsPSMwPc391VC+kZH0Y62YRK+DOID+X11Wsxhey2Xh4KBZjodmY5mZ\nMdZkUxMPel8fINfUxOcavXBykljanZ0A7u7dZikdCGBBhS55GxtNhiFt89ZbXz4F+XJmHo2XoUfF\nvV4TbKujA648GOSBTUw0PHJUFA/wM89gIbe3m+BPra1m7rZt49rSUhSZbvYmJBi3O+3P5KRRLH19\nAE1mJq9lZVjPzc0Art9PXX4/1vru3QDkVeVUvdgtt8x8Uf6m4+vymPcj8n8SPybpW/bSl95e2tMI\ng29/O2M5exZFddNNAOpzzwHcUVFct7iIFet2m1VNS8srY9BPTaHglpcBd/V60XuUk2NOau7cCUge\nO8arhh1QxaVzEEqR6NxquOGMDMoVFRnuO5SWUXG5UEC2zTg005DGWlfQ9flQbjomXbWq++RqweQ0\nJZ5uqotwzzXA1kZ80F+lrDdJdLuIBERkWUQWbNvea1lWgoh8U0RyRaRdRB6ybTuwyrXOSdFfZNG4\nI2slNX4t6q+rM3ErtH63myW4+gPrEfqlJXNk37ahTu6+2zw4Gp88Lc0oC030q/E4uruhNN72NtPm\n5cuGJrAsk5FIefOcHBSGcvPqNVNdTVv79tFfzbpTWYmS0UQJ6elYsBcv0pdt28yyf3n5WuWRnQ2w\n9vaahzwQoP7YWOrSQ0gaVzsYZHydnYxvZATwragARAIBGU1wyx8/+fvyneBZ+Zz3XvlY2G4Jn5ik\nrqQkyvn9zH95OSCl3iptbczHQw9xkrWjwySSiIgwlnRWFgC/e7c55u/zMacahyQ5mblJTjaKcngY\nwNb43xER9OX55xlXdDT9U+pM09Pt2MHnHg9zl57OWJqbTS7R9nYTI97n43vl0DXypAi/F70+9Lef\nmHhtGc0OpVRgQgJ9iI9n/GudWH6NnyXLsl63k6LLInLYtu0dtm3vvfrZwyLyrG3bpSLyvIj84UYa\nduQXRFazOJTC2Mwm6coNUI0B3tZ2rUWj3hyRkQBebq55MHJzscYWFli6a2hW9T2/fNnEtg4Px4rU\nVcbCgjl89LOf8aDr5p3GWc/MpC7N+qMpxvRIdm0tFtzcHADQ3Q2NkpVlsgydOwfYBgJYlF1dXJOd\nTX87OhhLTAyrDo24p5H1dEPW56Ovc3MAQVkZf3X/l703DY/ruM6Ez0V3Y98a+47GDmIhwJ0iKRGy\nLMmWHElxnEwytuN8Hk8cZ+IviRPHdsaJ7WQSx4nzZfE4mS+xFXsSObYcW7ZGki1KFClKpLgTELEQ\n+45GA2igsTa6G+g7P16+OhcgQIIUSVMS6nnwAN24t25V3ar3nDp1zntalTCM2ubSkmq6JSU4ID5x\nQpbb2+T/nz0iW370bolIdkrb7v8tvx6oEduIW5NLjI6iji1b0P7JSQDpZZ5zuesujEljIwAvKQkm\nqr4+1VD9frTBbsf3sbEYy/FxFVq5ufgfw/C7u+EtQ8ExPIxnk3c9IQFtys/H35mZeC/9/fh9+DDu\nIcsltfCMDA2m8ngw9pmZaDvnBFksmUjCer917geDK2lvp6aUY4YHphRWIldGklrTy93mQ9DVZaMa\neq+I7DRN02v57pKIHDRN02MYRpaIHDVNs3KNezc19Du9rNY4mP5ro9wT1rIWbwWDZeg7npyMRX7v\nvRrdaRi4xu0W+cAHUBezyns8ABhqUk89Bdt0fT3Axdo+Pt/vh3Yvgr4UFgKod+1Sr5TWVixigvPi\nIoSZYaAOBjSlpird7mWvEenp0YCkbdtgNyY/TE8PNPXqarQvGFTOl+Fh9LGvD22MiFB62JwcAGBB\ngVKzRkdjvAoKIMiiogCO4bDIyZNyIn1RfmvuSYlPTJOvyUNS956PAHRfegngnJaGvlRX454jRwDO\naWmgphWBKYlgGBkJE8jAAJ5ZU6Np997/fvSzoABjkZsLQdfbi3rS0zXtWnExXAndbgRBxccD+GNi\nMCY8fCwtRX9E0FdGg4ZC6Pf4uCbHprYdE4M2DA5qEBa1aHqqZGZqHlOCLLlvrBrz6rlvs+Ez3WNF\nUKfNpgfG65VraejrafbrlFupoZsi8oJhGGcMw/jY5e8yTdP0iIiYpjkqIrcntnWz3Pxi1TgIIDdy\nSLreAavfD9Dj98EggmZWR3cy3RqfRS+SwUHlNO/vx0GgCMDCapekpwOTJz/wAACD3i2lpfosjwc/\nPT3QDMNh1PfaazgsJCHT5CRAl4mdSQtAO+/wMGzp2dmaZNjpxFg+9xwWcUaG+oMvLAAcRQA2nZ0A\nzy1bNBO8xwOTjc0GobFlCxJcLC294dXj7rwgv1rcJL/k+2f5dOGvyMvb/l7qSvahTbm5elDrcKCO\ntDQc8vb0QBDu2oV2zM8DUJuaUHdjI55TXg4hMDaGfpNlMDoa7SNpWFoanskDwZgYfP/qqwB48sIv\nLirpVnW1evDMzgKsuWvw+zUYLBRCW10upailt0tPDwSew4F6eJBMXhgKbCsNA+e5VWNerW2TRiIY\nVBu6y4W5cS2zyXr2dd63njfZTXQb3iiXy37TNN2GYaSLyCHDMNoFIG8t66rhX/ziF9/4u6GhQRoa\nGq6zmZvlquU6Jf9Vy9gYJrS1ZGQAfK81oa92b2npldvRpibYaWkDZwBNXx+un5sD2JHi9HvfA6A8\n9BAA4fRpmCdW10eWvr4+aHWTkxgPUpySWIokXhUV0MTj4wF0p07humAQINvTg2umpzVrTmIi2lJc\nDG04NVUzIKWnA+BLS3FtejqAMiFBA5IYGh8VpSHrbW14Hsm36uoAnj/4wRuUAsHiQvna0jH5i6m/\nl//ieFAuHfy+xLvK1Ufe79ck29nZel7x4osAl4YGfF9RAQF48SLqDgbhyTM9jfGuqdFzBQoGJqLw\neiH4IiPVVZKkXJmZEMI+H+zseXkizzyDOktKVIjX1UGY+Xx4D4aBZ9G04XLpQeLoqKbDE0HbKeQP\nHlQvE8YxnDqlEaece9Y5ejW3QQI+A9N8Pgi6nBzl0r9aYZCU9TPnHJUXFipKExMimZly9JVX5Oix\nY+izNVr1Osp10+cahvEFEZkTkY8J7Oo0uRwxTfMKhvdNk8ttKNdLz8myliAgYdH1HuyEQliQ1hyS\nImp/TEi4UtB4vQA865b49GlcGxGBBetw4ABsbg6AUVuryZanpwGkLpfmk2S2GpI50XMiIgJtS0vD\nfSMjqv0mJiL0PjoawDEyAhMMedLLyyEYaK8lOVN1Nepzu6GlP/SQesQ884zIr/wKtNvZWdQbGQmA\nYe7MpSV4lzDgJS8Pz6VNf98+9O/73xfZt09eOPXv8v86XpSi1BL526pPSfmxFvCt0A7PbD0EyR/9\nCL+3b4dPeSAAM9f589i99PVBSNps+P7SJdWOg0EIx+FhNYnMzQGIMzNFvvlNmL2YICMrC3185hlc\nEwzivq1bUW9qKkDRSmp18SJ2RlNT6qYYH6/8OpmZmD9nz2oSiqgoAProKARCebl6kZSU4P2Qxtg0\nYWKyJpLYyNrgeqJwJhna9ZgeV5euLrTPsFhQTBMCPidnzfVmJCXdfJOLYRixhmHEX/47TkQeEJGL\nIvK0iPza5cs+IiI/vp4Hbxa5OVutN+NHvtYW8FrbxvXaPDioWVlEYFtlZKDNpgFFCwt6LzMBsQ3B\noHp2zM8DRLOz8b/ISJhChoexOHj42d6uacToCiiiniwTE6pRM7P7oUPan4gIPH/rVmjFY2OayOL4\ncWip99wDgPH7sfjYVxJxEdifegqfyT0zPg5w7OgA2Pp8AG3uRMJhANTSEvqYkgJ7fkSE7jR8Pukr\nTZP3n/20/Eb0C/KV+Mfk2cRPSPm5PtQzOYlnVFSgfcnJ0IYjIjRzPHNahsOgr42PB5gePoz/b9um\nQEmB5/cD0CYm1N5PKoILFyAI/X4AdV4e+sDxpI2fXOdOp1IZc9w5d5KSMD9KS1dmheK88/vRttFR\nCHpriY/XkPyICA00o3fK2NiViSQ24jaYn6/vVgRC483GZ6x1OMrPN/EgdSMml0wRecowDPPy9U+Y\npnnIMIyzIvKkYRgfFZF+EfmlG2rBO7kwtyS1h8HB69cAbtREcrUt4OptI10ERbC4mTeTbU5LUkB3\nHgAAIABJREFU07rKy3HtwACuJysfrz9yBNt+HkzSls1ry8ogmJiL8cwZAKbDAe19cRFjNDKi6dto\nBpmdxd+JidCMJyaw0AsLcf3u3ZrYgXSr9OoYGtKDuKgo9XCx2/F9MIj7UlMBWHl5qH95GcAfGYk2\nktmwuhomlFAIHiQ8bIuKgqYfCOC75WVosDywS0vDb6dT/MF5+Ur/d+R/LhyV34k6IN8p/rxEn39d\nJC8K43OZ/vaN95yUhLE3DLyn7GyANQEyNRVtCgZxwOr1QjPv7gY43nsvPGd6e7E76OxEH3fswHMY\nZTk7iz719Chl7/w8xtjlwm5l2zbMhakpBFHl5AD0+/owxqOj6DvdFEk1nJGBa7Ky8DkyEv9PTFSg\nc7sx7yorlWaY95WX6/tiJqDrLUwrx0Pu61lX65XERIzl/Lyu9/l5rF3SA7O8iWjSa2ropmn2mqZZ\nf9llsdY0zb+4/P2kaZrvNk2zwjTNB0zT9N1QC96p5WZFaK4n+a81IZh6bXUqtrGx9Qn+SV5FQiu2\nmbkbFxagjTLCMjISC5PX0xWMvCvMApSXB43PZlMNOzFRU6iJQAubm9PglZERXFNTA5Cm+6HNBhsq\niZd4sFlQACBxuUQ++EG0dXAQi4pBTQUFqDM2FmB3990A54kJ9ZDxepHggXbVr38dh4uHD4OfJSIC\nGuJzz+FdLi6i37OzqnWePauh/NHR0KjJu1JdLebSkvxw9IhUvf4b0hoalvN5fyqfj3lQop99Xu3X\n5DofGwMIHzu20kyVlYUxcjjw7JwcgPC2bWpK2LMHQiA+Hu1obcU7Ky7G2CcmwqSzfz/GcnERbdy3\nD2MUE6PuhuEwwD0hAWaxzEyMb0ICgHzXLhXqHR0A3IICpT5gLAB52un5Y7OhrYWFOs8vXUK7ExNX\nzlUGDN2MIJ4bXVdXK2slurjWjvg6y2ak6M+q3Cyf1Rs1kWRkQDu1mlwaG69sk1XwzM0BfKyCxxpG\nf/q0RgPm5KA+6/VtbQCDsTF8DoehZYXDWLTp6fibdUdG4v90RyssBIgcPYp6vF4s7kAAANbZ+YaZ\nQgYHIShI2pSern0aGoL2xbyh5CqhiYTt7+oCeDNg5fhxhN1XVaFtX/0q2pSWhgPAV16BxtXTgzqn\nprDjeOklTQo9NIS2eDzYXZSXw32wtFSkrk7azHF5IPxt+WPPd+Wbo7vlyZEDUhCfq658wSDALC1N\nzzuam9H/c+fwjMZGCNm5OfS9rQ19cbsBrmlpEJBjYxgDlwvXnzmDdtbW4loeJDOnZlQUxmV2Fpp6\nMAgQ9Xo1ItbjgZnD5cK1Y2Oa5Nrl0jyj9Om2zvnZWaXNJeul14v+kjRrfh7vZy3Nez3/8BspNxlo\nr9q+681odJWyCeg/q3IzNYCrTYg3S7xlbdNaIdg0+XR1YTEuLGDBZWRg4ZIvvK8PYDw0pPcHgxq5\nyR0Ck0OIAEwSErB4GQQUCEArT0oCADz3HBZ+fz9MDDQjNDXhnuRk3P/yywC2lhYAf3s72p2aCg+N\npSW09/RptHPLFrTjwgVc8+CDGqxCb5eYGJH//J8BUu9/P/7f0gKw2r5ds+Hk5uKd0NvmkUdgsw+F\n3thZzEhAfn/gG3JP1x/Kw5OpciHqt+VdOZc14xde0ENfHhiXl6Nd9stW0+Fh9c1eXMQ4NTQov3x/\nP8b+7FkIj4gIjQvo6lIt2+WC5k/uk/FxPczOyYHWHxuL8SotVe6XrCwIpqEhCIXlZT34tNmUd5zz\nKD4eQsTrxbtoacHOY8sW5a0h9/nwsI4VGSfJb38rWUJvItBetdxEQbQJ6D+rcjM1gPUmxNXMOmNj\nADLrhK2vv1LIWMGbbe7t1QMpRpUODgLgHA6Ad34++KgvXAC40uzS2QngoD3W61Uf7sZGAAwFCJ+X\nmYnrGCTT0IDnkSxrZgbgkZ2Nn+ZmgCyDV+rqADTj49CaGeFZVqYmg5ERAAwz8gQCIr/wC5ohp7MT\nZoPGRmSUf/JJ7BLojtjWJvLzP6+h7Azxz8+HoGD0Jd31du4UmZyU8NCg/O+W70jl8OdkcmlGmg/8\nu/xO6sPimL/ML0NXwMJC9On0aYzbD3+IPiwv43/T03gPTKrB3c7Bg+hDbCy0brpoUvDm56OtO3ZA\nUCYkQFPPyMB9bjf6ODKCeRAI6LnE5CTGf+tWjGlbG3ZFbjeA3OeD2YpUvwTelhY82+9HO5xOvF/6\nmluBMypKd4c3W1m50XV1B5dNQL/dxapVWHmWb4UGcDWzzupUbPye2jI1ntWCJyVFDxvJTxIXB0Cg\n3ZzBQ6+/jiw6Hg8AwOHA1p1ZgCIilGZ2YQH3U6hxnKKioKHR82XXLgDdfffhmve+V3k3Jieh4fHz\npUsAl5kZaMWVldBsh4dxIHrqlBJxZWToAez580oD+4u/qNGNUVFoU1YWwPnkSZhZfD7U+fjjAMXF\nRYAw/d4nJ2GG2bYNf8/Oihw/Luft43Jg6E/ka4FX5Idln5fHc35TMrvcaGduLgDObocNe3wc3/Fc\nYnYWz4yOhrAaHobJhZmR2trg7kiXyWAQPwcPriDyeoNqt6kJ/ejrA+iTZGtyEu/m5EkIicpKvP+m\nJgiXpSX0LTpazS4MDkpOxngnJuIdWJNIDA2hLjJwVlbinS4vo53WzFMlJdenrLyDyyag3+5i1Sqs\nPMu3QgO4mllnrR1CVxfAYrXGY9160m66OqqUzHoLCwDavj4s2qgogHBRkbLuxcYCRGtr8ZkCpKRE\nw605Tgwxn5lB3UNDavKgSWb/fpglTBMgfv/90CidTph8Zmd1jJ1OaNCMbDx7Fpro3Bz6wCwzOTkA\nF3piFBTAJBAXh/uLiwH6Nhs02NFRCAJGUDKQihwysbHQWjs6ZGJ+XH6j/+vykPur8tHUd8uppV+T\nvfGXudvpr97QAMAsL0efoqNR7759yhfu9QKEz5/XpBt+P7Rhvx9t/tGPIEDJ733oEDRqpxO7hqkp\nvE/uchhcNTCAPhUXo57oaIwRD3FDIVxLj5OLFwHKg4OY00yyQe8a8rqbpoJ+QsLKmAV6CW1Eybme\nM6jbnNfzZ1k2Af12ltutVVzLrGMF6tHRlaHx1rZZt55Op+ZqbGtbGdG2ezd+9/Tg94MPaig6y+Ag\ngJ1JmcNhTRYgosE3DPWnNwwPyZg6rq9PD/NOnsT3MzO4Z3oaP5WVMMGUlAB0+fyyMtwXCgEMf/pT\njMHBg2jP+DhAdGwMgoeEUlNTOCSdmQFgvfe96IfPB0314YfRDnrBhEIALsMQqauT5ebX5R/GnpWq\nrt8Vh80hbRlfko9F7pWIucua6L59GKuuLgAw7fgM0V9YwHPJRJmcrMkwIiLUBzwUQrsaG9VdLjkZ\n7Xa7IbT6+3EvPXhIVhYRgahSpxPv9+JFkSeeUC8hEZB25eSo905srHoUhUKaEIQKysAABNOWLaq4\nWJNCUHgvLECAWJUckfUP9Td6BnWb83r+LMsmoN/Ocru1ilBIw9F7ewE8Vo3HCtSrgXe9tlkXBxMy\nsMTGYgu9f79mc3E6NakBubPn5xXARSBMrDsEcmgPDqoQZM7QsjL1BX/pJfX6qKmByWR4GCaehASA\nVU2NZqxpacH/WluVwjUuTg/sMjLgysfD28REjFdaGkAuOxsHeHR3rKmBzXj/fuw25uYA+qOjALyS\nEpioPB55tfWnssP2TXnS0SGHMz4tX4v9gDgzXQC62FiYS6hpk9q2vh7adlWVeuIsLYn83u8BSPPy\n8PPxj0MYTE5inOPiMFYpKaifnjuGAcBsa8N8uHABz/B6MQbBIH5PTuIaviv6kvt8ysHCbEdMPsFz\nlMxM/D8nR+dJQoIGrbEwXH9gQNO9jY9rTAOVnPXAeKNnUO8w08wmoN/Ocru1isFBjRx0uVZqTTfS\nNi4OJhS22bAYBwauXFQUSPRkILHU1JRek5+P+vr7V+4QCgtXJlFgQEdBgdrJ5+fRN0Zl7tmDPo6P\ngxiKDI0xMWhHTo7I00/jvtlZeMJUVgJA9u/HOLe1aT7KvDxNncbkGaEQtGW/H885dAhjQu19fh5t\nO3LkjQQZI/3N8qHF78ivXPof8jnHu+TI4n+S2phC1ZjJKX733WiXzQZBcOAA/r77boxVejo06vh4\njFVsLIRfSQmE9tAQBIzTCUE1NSXy2GNqJ2cQ1vIydhZ5eVrPXXdhrEdG8F537tQAoOVlnDeQc6Sl\nBWN9+jQEwPbtMKH098N0k5CA+8iFMjYGEw+zOa1OCnH2rMYnlJdj/DkXV4Mx0xh2d+tZxrW8UO4A\nStvbWa6by+W6H7DJ5bKybIR35WYQ5d9IHddqG/komAzB58OiZhIKMg06HKiLREvx8dBAU1IAGnv3\nYjFa2zQ2BmD2XY5PozZ+8SIAdXAQHiLR0ai/vx9g09EBsKPPenMzQMcwRD75SdUaSREQCsGssH8/\nNNSTJwHO+floMz1oPvEJgL0I2h4IQIM2TfWWIZNibi7a89BDaFNUlAS7O+RvHefkLzu/JR9PfVD+\nMPYBiZsLom6fD4fFDFXfsgVjFBWFdiUl4d2FQgDnF15AgA/97klDOzmJ84KuLvS/rQ3t8/m07YmJ\nAN+GBowdqQaOHgXIu1wYq+xsCOZjx/Q62s7LygC8MzNK+JWVhb8DAQjLixex6+rtBaiXl+tc8HjQ\nD3LCiChv0NiY8qBzPvDMg+cqPEjt6cH3vb2Yl2utnbXocJeWbl0Cl1tYbiV97ma5WWUjvq1raRW0\naa5lglnLPHMjmsm12kZNOS5Oc4Q6HPBwIe80M7cwCMTlUgKn2Fhob6dPX6nRZ2RoXkm6sr36KkDA\n74f22dGhmjBTo6WmqjYXCgFc3v1ugOLrrysYtLYCZHJyAOivvgoAcrvRppQUaKJ9fXjW+LjuMEgP\nUF+PaxISoHUWFeHeyUlNFyciP40alNq+P5BjfS/LyaI/kz+LeLfExVwOjklJgZ1+ZATtME2YS5aW\nIJB6ejRFHgN4cnJgSioshJ1+yxZoxfQmWl5GP+nGuGsXwLa7W001zz+Pz8XFGN+qKvzNdHbkqbeS\nUdntmAPMJEQvl6EhjK+IZqTauhUCLztbz1XozcSDUatHlQjmc0IChKHPpyngBgZWhvrzOZxThYXr\nm05W72ynp29+gNAdXDY19DuxrKVdnz6NxZWUdKX2vJZmzUjCm62ZvPQSFjUProaGAATnzgFkCgqw\nQMkoODYGwKuqAjhFRQFoa2oAPsnJEAI2G7TD/fsBdOEwTBp792rYN4NY8vLQr5ERpRuorUX/mK8y\nKgomlv37NV8lPXLm5qDtBoPQLHftQj3798MrpKQEQPDoowAreu3cdRdArrMToJedDZB77TWR+nrp\nme6T3/V9V1o9LfK3tZ+Wh0MuCDraqMfGNGWe3Q4w8/sB6KaJsTt+HO+5uBia9+AgTCQ+nxKZRUXp\njicnR88fHA6MbWYm2lhYqN5Ap04p86JhoI7XXgMQJyZCUNJlkB5FJLYKBPBOc3PxXlJS8E6Z+CM9\nHfNARJNb8OCcySgYCETtmXwty8sQAB0dECJjYyvTxHFu9/RAgI6N6bw3zZX0uOvtStfaHbwFfMo3\nNfRbUX4WLk+rD3zcbnyfnX3lwc56hz4ia2smNG9spD9r9b2uDhorc0zyOdu24XdPDwCDEZPk5uCB\nl90O+3BnJwAiFMJ9/+f/aDozj0e9JWZnsfgCAfgp5+QAZEnkZJpYoI2NWLTM+tPeDo06EIB2ywz3\nr72GusvKwI6YlqY0ASMjCA46ckSpEVpbVZOmfT4vDxrg5WTXC/fcJX988e9ld9unZG84R5qL/koe\nljLlP2eGe7tdOUoSEt4g4ZJwGG09fRqeQoysJa95UxPGlRzvHg9MLIWFKhyio9G/qir0MTkZ/Sks\nRJvLy5URMSUF74hnHQwQ4wHme9+rCUnGx6ExM9qVKfCysiCssrMx5qYJs05yslIoMykzwZPaczis\nBF00XzmdyvFDMBfRXWNsrAassazeha63K10db/EWAPMbLZuAfq1yK12eriYsrOaPgQEseGvhdpST\n2FqXCEBstQklKwt2Y4J8ZOTV+7NW31NTsbinpwEsdH1bXoaGNT2NxUdTRyAADZX5P/Pz1dWNZpuE\nBCzWM2cUDBiEcv48gI4uiUlJ6uI2MgJgJmdIXBx2AYmJ0ChTUwEaEREQGMvLaEd3N7T3Bx+ERlpc\njGfMz4MfPC0NbSQj4Ogo+nb8OOo8cUKkrk7Mzk75D88R2XL456UjMCIXdn5DPje/XaIiHEr7as0F\nWlEBgIuNBajW1qLtgQA0bvKxl5QA4CIjcUBJQd3Vhb5NTyt1gMuFcSgq0uxKdNf0eiEI6OFCr5Lx\ncfRj2zZ8R46X2VmMb3c3fpPAKxzG54QECNWKCmjBDofmCq2rW5sWggC7mhPIZtPk2iIA3YGBK818\n9MQqKVET03qmk1tBqPUWK5uAfrVyq12eBgf15H5+HmBLULe6FG7ZsvKgRwSAzSS2LS1YuARfRtit\nDl3u7NTweXJpr9efq/W9qgrPHBzE8+g7LaIMeuXl+FxUhOvKy5Xz/Px5ABr7ffw4wJVulufO4Z6z\nZ3Hd8DCuffllaP3796vtdXkZIG4YqlGK4O+nnwbgUXtl9h26FX7oQ5r+zOfDgaPPB8oCtxvPTUtD\nu44dA0CGQiILC9LSfETe3fMF+VLP4/Lt+A/Ld6v+WPKr74L5xG6HGeD119UWTWHEXcnx46jv7FmM\nSVsbQPrVVwGsiYnou90Oj5xt29B32vxtNrSbyTsefxz1T07iAPX8eYy9CHK00g5OH/ulJTyfLqRV\nVWgv33tiIq4bHIQyQS4d2rndbhzI8uwkNRVj99prGLczZyAYmNzZCqykRi4qgjArKtKE01fTnq91\nxnMrCLXeYmUT0EXW15RvpcsTFw611MxMgEdr65XXXi2qMztbA4NoQxfB/6xA7fViocXFQTjwEIoh\n5KvL1fru98PuXFEB7c3hAIB1d+t1FCa7dwN8x8fRt9ZWANP4OBYyU3wVFcEs4vEALE6fBpjdfTfq\npgcH82waBsB5aQmgEB8PUMrJUX9qmpfi4mBGYGachQVc19mJYKILF6Clt7cDzHt6MKYeDwQB83PG\nxsr0M/8hv5v4mjR0fV4eWyqVC/6PSIOtBMDNAJ4tWwCudAvMzFR2yYICfL97N9pVWwv79o4daM/e\nvZgTra1of1ycmkV27YIASExEH4qKIABSUtBOux1zqLsbIB8MQsNuaYHW7nDoDocJnHNzNb3a7t0Q\nqBkZOpfa22Fi2r0b76y9Hbupujr1JSdlwNAQTEymif/5/bCNk1KipQXP4X1WTiB6RF2tbIRb5XYR\nat2hZRPQRdY3q9zKLRwPyKxa8GWb7Joac34+Fk5vL1zzkpM1kjIpCRoSkybTJZBeMaEQ7LD19QCC\nqSn8UHtm2Li1rNX3vj4IhuPH0RarTT8+HoLhwgUsTKtQ3LEDz0tNRZ/vugv/pyZXVAQzRmqq8pcM\nDSlFbm2t+pSPjCBykWnWRkZQZ0kJDmxJsTsygvq6u1EXBc/UFMDt8GFosUzAwV2Ex6NEX3Nz6M/0\ntIQL8uVfQqelsuyQzBlBaY35fflk6QfFXlkFMH3xRTxragrCtrER5pL5ec2uNDsL009srBJhpafj\nvTBJNd35HA4No/d4ICw6OjTk3zSx4ygrgyB49FGNTj1xAkLo4kUIhvPnAfSjo9gF1NejPcwQRUB+\n8EHMHbcbbSwtRfvsdggNztP5eYw5fck7OjBnbTaMYVoa3nlREcZveVlNK+3tmCvLyys5gShI3mzZ\nCOi/jakANgH9aqaFW7mFy8gA4K4+1GG49+rCg0GXSxcbBQ9d5nhA2NwMcwSDgFpboRnabOiX1SbL\nfJCrhUhiogoQRpq+8goWKalVT59WHvLvflfTzYVCWOTj41jQ3d3qfRATAxCqqwOYZ2fj2UtLAJ7I\nSAiEPXvQF/KV87CP2WRiYtCu8XGAo9uNNi4sAKRpvy4oADD39+MZZWVq2hGBEEhJwf/JqpiaCjBM\nSBBJSpIzgV7Zd/435X8ld8nTcR+Tf3b8gqRPBTCODDzyegHir722MqlGfT3qbmpC+6an8b3Xiz7N\nz6OdJ05gFzE+rmnxBgdxX3MzQLWrC9fw/THTUVsbtOyf+zn8FtE0eR6PMlu6XHhuXh7eod2O3YHT\niZ3QK69oEJII2pSejvb09elhO3cMZGosLESbmHAkPR1jnZqKMWRkrtOJe30+7IKSk/Ush5mmbkd5\nG1MBbBjQDcOIMAzjvGEYT1/+7DQM45BhGO2GYTxvGEbSrWvmLSzXMqvcqi1cYqJuO63CYnFxbU3F\nKniskZQUPAMD+Hz+vC54HpT5/Vhk8/Pqs2yaAIiqqo2ZkUZHsSAzMqD9xcbi5+RJaKUuF2zb6enQ\nvINBsP2lpWmQ0fe+h4Xe1ARtlQElbjdAsbdXCb1KSzEusbEwMzDLTkmJ0uFOTaEOMjLu2KG84eXl\nmpItLQ3j5HIpg+CuXZq2bnERmmtzM8D27FmRwkIZT4mSj0Ufkkc6viQfz3hYXtv697IrbSuEyj33\noB9uN9pUU4P7p6cBltu2Acg8Hgjpbdtwz8GDGjxjmmhjayuuodktIwNtfP/7lXb3mWcQ+Wk9nygp\nAY3uAw9onQsLeH5uLjIz5eWhTRcvYk7U12PMyspQT3ExADUuTj1pent1PmZmajwBE5Fs3araL9cP\n22xdP21tAM2YGCWjS0zU4DJrBqPbZRp5m1MBXI+G/tsiYjXwflZEXjRNs0JEXhKRz93Mht22ci2z\nyq3kRK6qwrbT44Fmxoz1a2kq1jZx5xAZCQ24txdAOT2tfSEtbWQkFndbm/qxc8fR0LByUS4swM7Z\n0gKzCid/bCzq3rlTJ35+vvK0+P2IfExPh4bIbDhZWVjMu3Zp6H5zM9ry/PMAnvR0gHlGBoC5pwdt\nXF6GZjg0pCHpu3ejHUtLMMPwsO7cOTXjhMNoX0KCnieQaz07G+BdUgKtORTC3xUVAJzsbJGEBFky\nl+VrVbNSZf8nSbDHyaWcP5P/J+MBibDZ0Ye4OOxO6FJJVsV9+9CX7m5Nw9bTg77U1KDtmZl4fzYb\nNOKODnwfEYFxoSkiPh4geuAABMGWLegbD7zj4/Fc7l6mpnAfo3gZoFNYCMFw//16ANzWptmZYmLw\nua0NY8gQ/bEx7AYcDnxmjlZy3NBsQdt4TAzeZXu7unrOz2Nu19QoeDJhBtMB5uXhf0ynd6vNH29z\nKoANAbphGHki8pCIfMPy9aMi8u3Lf39bRB67uU27TeVneTLucKi/L12y1tNUVk+6/Hxsl3lAWFUF\n4MvPV1Isuogxx+fQkIaEi2ARWvt7+rQe0NJuy21pTAwWK+3yIjBP1NdDM6cXDkHm3DkIgLQ0LF4e\nlHV0aEBOczNAsb4e9ZeUrDzYJN3qXXfBXS4cRt+2b4dmSeFitysbYE6O8m+PjoIH3eWCRhgOQzNt\nb8dYJCTgHfT24ve73iUv9x6V7XH/Jj/qfEaOVnxZ/qb8k5J0170AaSYzzshA3cEg+tTZCfPHzp3K\nL9LejucxMbTXqwklyN1OQK2pUV4Zux2a/7596BuBs75e5Cc/gcBg5qXTp6G1NzdDaJOXxTDwmXlV\n09KgVW/dirbOz2twTWkp2r1jh9qx77kHOwOXC21IT8dcYEo4ETVbWG3jLhcEQmen5otlog2a7fr7\nMSdpv+7pwX30nrnV5o+3uWvjRjX0vxGRT4uINeQz0zRNj4iIaZqjIvLWHZGf5ck4+U9YyBGyuqwW\nPBMT6stMnnGnUz0FTBMLu7UVC3X7dnzf3o7rnM6V/SXYZ2RoFhryhdC1kgees7P4m4eHi4vatr4+\nCJYdOwA0GRkKUB0dABCPB6YHnw/glJKChZyWBnBLTVV+bvogk7vbNHGW0NSE/pSXAyiHhwHawSBA\nYmICh3w5OTDRREbiucePa+Jhx2V/8dFRGQqMy6+c+5x8eOlJ+eOkR+TF3M9JdfEe9MnrRRvi41F3\nYSGAdGFBoxO3bkU6vIgIjC3D9uvq9LCbPDLj4wDeRx4BuPv9EFAUFgUFcJNsacHh7fQ0TDvFxXDF\npI97RQXeEc1ujCJl0orRUU0/R84VHsRbueytpofoaAW47m7lr9++Hf8vLlbOeN7LMxW3W5M301zm\ncuG9cz5GR6O9PBhlaP7VwvlvZnmbuzbar3WBYRgPi4jHNM1GwzAarnLpuvH9X/ziF9/4u6GhQRoa\nrlbNz6Bw23wry2rSIGv4MQmkaNseHFw7CW5+vtYxMADt3lri45U3ZXwcoEIq09hYLGra6enFIYI6\nm5thixUBOKakaEJml0sPwKKicJhJzxIG6yQkwH7v9SrHeWsrtMj4eABpWRk00cZGtLOhAYeIjz8O\nEKuuBhiNjwMgJyY0A48IwHFwUAmgqPm7XABrq397dLRGaMbGYmsfDAKkyspwvcslAZvI/zf4Pfnr\n6Z/KJ6L2yzfef1jixqfRlhMnVCPeuxd+2iUl6F9uLvy929oAZOQg9/s12Qd3YASo3l78PyUF49nb\nq9GpjLoVgXnlBz/Qw8KWFgjiBx7A76UlvLtduzCOUVHqDy6Cdzs1hWfNzkJQ0lRTVIT/NzXBv91a\nCOI06XR2AsgnJpSArLAQpqJHHtH7HA6MFyNsCwvxvccDMOf5wPS0avQMSKP3TV3dyjbcSoC1riN+\nvgPK0aNH5ejRo2+qjmtyuRiG8eci8iERWRKRGBFJEJGnRGSniDSYpukxDCNLRI6Yprlljfs3uVxE\n1mcyvFFmxbXu6+oCsDB0urNTvQ+8XmizDgcWDA8G2Z7GRuUVb2rC8zs61FTT0ADQJTdJMKiJJwoK\nYHJITdWM7WfPQpA88wxAkLSr4TDMCkz6m5eHw9OaGgXA1lZo8gzsSUhYyeI4N4c6OVbFxWjXj38M\nWz5tuIGAUvIODwOQ6+shRBIT5dl4t/zO0D9L1Xyc/M3iQSl2FuMgMSUF5izylDBtnGlWaBy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mpCDHqGREcD0A4cwPfMBpSUhM8kLLPZcKB87pzOi5gYvP+SEgjPvDyANwO+cnNx3wc+oGn9zpzB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\nvSA3NaWbZ4Rbe/t2fcNu3qy1Pl3zfOONjQRRYexLTQUOH8bRm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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "display(DFw)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "

We can also create a widget with two sliders. In this case, we will vary the number of points and the standard deviation in our generated data. To do this, we will first create a FloatSlider and IntSlider widgets and then use those in our call to interactive. The function we call from interactive must accept two arguments.

" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false }, "outputs": [], "source": [ "stddev_widget = widgets.FloatSlider(min=0.05, max=30.0, step=0.05, value=20.0)\n", "n_widget = widgets.IntSlider(min=MinDataPoints,max=MaxDataPoints,step=10,value=(MinDataPoints+MaxDataPoints)/2)\n", "\n", "def DFDataTwo(n, sd):\n", " x = np.random.uniform(0., maxx, n)\n", " y = mtarget * x + btarget + np.random.normal(0., sd, n)\n", " return (x,y)\n", "\n", "def DFFigure(n, sd):\n", " x,y = DFDataTwo(n, sd)\n", " A = np.vstack([x,np.ones(n)]).T\n", " mfit, bfit = np.linalg.lstsq(A, y)[0]\n", " DFLineFit.set_data(xx,mfit*xx + bfit)\n", " DFLineData.set_data(x, y)\n", " display(DFFig)\n", "\n", "DFwnew=interactive(DFFigure,n=n_widget,sd=stddev_widget,continuous_update=True)" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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UJTUyYg5d5ecz5uVl9gwOHGBM25AtAbplWT5hQ/SXN1z+AxH5hmVZvygi/SLy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\n1FTIH7W1IO+REVWWNxrFcQvjXZHefhvnEonAU7dYV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