{ "metadata": { "name": "" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "Pynbody Demo" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This notebook highlights some of the basic `pynbody` functionality to get you on the way to analyzing your own simulations. The `pynbody` webpage is [here]( http://pynbody.github.io/) and you can find the documentation with additional tutorials [here](http://pynbody.github.io/pynbody/). If you find that things are broken *please please please* let us know by submitting a [bug report on github](https://github.com/pynbody/pynbody/issues). If you want to run the notebook on your own machine, you need to get the [testdata tarball](https://github.com/pynbody/pynbody/releases) and change the path in the `load` function below accordingly. " ] }, { "cell_type": "code", "collapsed": true, "input": [ "%matplotlib inline\n", "from matplotlib.pylab import *\n", "rcParams['figure.figsize'] = (10,6)\n", "rcParams['font.size'] = 18" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 1 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Basic data loading/exploration" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "loading a simulation output using the `pynbody.load()` function, which tries to automatically determine which type of code output you have:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "import pynbody\n", "s = pynbody.load('/Users/rokstar/Downloads/testdata/g15784.lr.01024.gz')" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stderr", "text": [ "Loading using backend \n", "TipsySnap: loading /Users/rokstar/Downloads/testdata/g15784.lr.01024.gz\n" ] } ], "prompt_number": 2 }, { "cell_type": "markdown", "metadata": {}, "source": [ "a quick look at some basic information about the run we just opened: " ] }, { "cell_type": "code", "collapsed": false, "input": [ "s" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 3, "text": [ "" ] } ], "prompt_number": 3 }, { "cell_type": "code", "collapsed": false, "input": [ "len(s)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 4, "text": [ "1717156" ] } ], "prompt_number": 4 }, { "cell_type": "code", "collapsed": false, "input": [ "len(s.stars)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 5, "text": [ "265170" ] } ], "prompt_number": 5 }, { "cell_type": "markdown", "metadata": {}, "source": [ "`stars`, `gas`, `dark` also available as `s`, `g`, `d`" ] }, { "cell_type": "code", "collapsed": false, "input": [ "len(s.g), len(s.gas), len(s.dark)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 6, "text": [ "(158755, 158755, 1293231)" ] } ], "prompt_number": 6 }, { "cell_type": "markdown", "metadata": {}, "source": [ "the `properties` attribute of a `SimSnap` tells us some more basic info " ] }, { "cell_type": "code", "collapsed": false, "input": [ "s.properties" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 7, "text": [ "{'a': 0.9999999999999911,\n", " 'boxsize': Unit(\"6.85e+04 kpc a\"),\n", " 'h': 0.7301145776501103,\n", " 'omegaL0': 0.76,\n", " 'omegaM0': 0.24,\n", " 'time': Unit(\"1.40e+01 s kpc km**-1\")}" ] } ], "prompt_number": 7 }, { "cell_type": "code", "collapsed": false, "input": [ "s.properties['time'].in_units('Gyr')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 8, "text": [ "13.72831064485079" ] } ], "prompt_number": 8 }, { "cell_type": "markdown", "metadata": {}, "source": [ "which quantities do we have available?" ] }, { "cell_type": "code", "collapsed": false, "input": [ "s.keys()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 9, "text": [ "[]" ] } ], "prompt_number": 9 }, { "cell_type": "markdown", "metadata": {}, "source": [ "None! Because pynbody \"lazy-loads\" data... so lets see which data is actually on-disk:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "s.loadable_keys()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 10, "text": [ "['phi',\n", " 'FeMassFrac',\n", " 'iord',\n", " 'igasorder',\n", " 'eps',\n", " 'pos',\n", " 'HI',\n", " 'mass',\n", " 'coolontime',\n", " 'HeII',\n", " 'vel',\n", " 'OxMassFrac',\n", " 'HeI']" ] } ], "prompt_number": 10 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Accessing data" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "to access any of these arrays or vectors, you access them like a python dictionary: " ] }, { "cell_type": "code", "collapsed": false, "input": [ "s['pos'].in_units('kpc')" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stderr", "text": [ "TipsySnap: loading data from main file\n" ] }, { "metadata": {}, "output_type": "pyout", "prompt_number": 11, "text": [ "SimArray([[ 733.51516346, -2479.31184326, -11394.52608302],\n", " [ 781.21390409, -2209.05638147, -11392.16434933],\n", " [ 794.4949563 , -2232.21137376, -11432.30055384],\n", " ..., \n", " [ 1672.78285106, -2332.06734179, -8386.4632496 ],\n", " [ 1675.12072757, -2335.55559387, -8386.09837501],\n", " [ 1682.45100698, -2338.79940549, -8386.07898308]], 'kpc')" ] } ], "prompt_number": 11 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that each array has units attached..." ] }, { "cell_type": "code", "collapsed": false, "input": [ "s['mass'], s['vel'], s.g['HeI'], s.s['posform']" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Reading /Users/rokstar/Downloads/testdata/g15784.lr.starlog\n", "Bridging starlog into SimSnap" ] }, { "output_type": "stream", "stream": "stderr", "text": [ "TipsySnap: attempting to load auxiliary array /Users/rokstar/Downloads/testdata/g15784.lr.01024.HeI\n", "TipsySnap: attempting to load auxiliary array" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n" ] }, { "output_type": "stream", "stream": "stderr", "text": [ " /Users/rokstar/Downloads/testdata/g15784.lr.01024.iord\n" ] }, { "metadata": {}, "output_type": "pyout", "prompt_number": 12, "text": [ "(SimArray([ 3.19310585e-11, 3.19310585e-11, 3.19310585e-11, ...,\n", " 1.24175999e-11, 1.24175999e-11, 1.24175999e-11], '4.75e+16 Msol'),\n", " SimArray([[ 0.01673503, -0.01547551, -0.16838804],\n", " [ 0.05142973, -0.00647544, -0.16129912],\n", " [ 0.02738659, -0.00184103, -0.1736342 ],\n", " ..., \n", " [-0.13633673, -0.13716312, -0.12805983],\n", " [-0.13267632, -0.09228273, -0.1247804 ],\n", " [ 0.06591902, 0.13406622, -0.15172358]], '1.73e+03 km a s**-1'),\n", " SimArray([ 3.51669648e-12, 1.60111191e-09, 1.88118882e-10, ...,\n", " 1.94256286e-12, 2.30497435e-12, 1.81767830e-11], dtype=float32, '1.00e+00'),\n", " SimArray([[ 0.0178572 , -0.0131114 , -0.00092187],\n", " [ 0.01790398, -0.01335163, -0.00124265],\n", " [ 0.01781229, -0.01359182, -0.00148088],\n", " ..., \n", " [ 0.02442261, -0.03404816, -0.12244228],\n", " [ 0.02445674, -0.03409909, -0.12243695],\n", " [ 0.02456377, -0.03414645, -0.12243667]], '6.85e+04 kpc aform'))" ] } ], "prompt_number": 12 }, { "cell_type": "markdown", "metadata": {}, "source": [ "by default everything is in system units, but most of the time thinking in physical units is easier:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "s.physical_units()" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 13 }, { "cell_type": "markdown", "metadata": {}, "source": [ "We have defined many useful quantities that are automatically calculated for you. For example, the radial and tangential velocities are simply obtained by" ] }, { "cell_type": "code", "collapsed": false, "input": [ "s['vt'],s['vr']" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 14, "text": [ "(SimArray([ 37.28290565, 81.78390831, 60.75947459, ..., 330.09191502,\n", " 288.75911925, 303.1394157 ], 'km s**-1'),\n", " SimArray([ 291.20028176, 281.05583586, 297.57331009, ..., 227.22613725,\n", " 202.62874018, 208.42590924], 'km s**-1'))" ] } ], "prompt_number": 14 }, { "cell_type": "markdown", "metadata": {}, "source": [ "you can get a list of all available derivable quantities " ] }, { "cell_type": "code", "collapsed": false, "input": [ "s.derivable_keys()[0:10]" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 15, "text": [ "['nefe', 'hetot', 'mjeans', 'ofe', 'ljeans', 'ne', 'feh', 'c_s', 'mgfe', 'oxh']" ] } ], "prompt_number": 15 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Loading and centering/aligning halos" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "if we have information about substructure (i.e. from the Amiga Halo Finder) we can load in the halos: " ] }, { "cell_type": "code", "collapsed": false, "input": [ "h = s.halos()" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "AHFCatalogue: loading particles..." ] }, { "output_type": "stream", "stream": "stdout", "text": [ " halos..." ] }, { "output_type": "stream", "stream": "stdout", "text": [ " done!\n" ] } ], "prompt_number": 16 }, { "cell_type": "markdown", "metadata": {}, "source": [ "We are not really near the main halo, so lets center the simulation there using the \"shrinking sphere\" method" ] }, { "cell_type": "code", "collapsed": false, "input": [ "pynbody.analysis.halo.center(h[1],mode='ssc')" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Finding halo velocity center...\n", "vcen=" ] }, { "output_type": "stream", "stream": "stdout", "text": [ " [ 1.6295435 -58.21684952 -254.25581364]\n" ] }, { "metadata": {}, "output_type": "pyout", "prompt_number": 17, "text": [ "" ] } ], "prompt_number": 17 }, { "cell_type": "markdown", "metadata": {}, "source": [ "we're going to work with the main halo a lot, so it's useful to save a reference to it in a variable to save some typing:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "h1 = h[1]\n", "h1" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 18, "text": [ "" ] } ], "prompt_number": 18 }, { "cell_type": "markdown", "metadata": {}, "source": [ "this new object is a `SubSnap` and behaves exactly like any other `SimSnap`:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "len(h1.g), len(h1.s)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 19, "text": [ "(79060, 262178)" ] } ], "prompt_number": 19 }, { "cell_type": "code", "collapsed": false, "input": [ "h[1]['mass'].sum().in_units('1e12 Msol')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 20, "text": [ "SimArray(1.696392414687047, '1.00e+12 Msol')" ] } ], "prompt_number": 20 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Rendering images" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "lets look at a picture of the dark matter distribution of a part of the whole simulation..." ] }, { "cell_type": "code", "collapsed": false, "input": [ "im = pynbody.plot.image(s.d,width='50 Mpc', units='Msol kpc^-2', cmap=cm.Greys)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stderr", "text": [ "Building 4 trees with leafsize=16\n", "Tree build done in 1.55 s" ] }, { "output_type": "stream", "stream": "stderr", "text": [ "\n", "Calculating SPH density\n", "Smoothing with 32 nearest neighbours" ] }, { "output_type": "stream", "stream": "stderr", "text": [ "\n", "Smoothing done in 3.36s" ] }, { "output_type": "stream", "stream": "stderr", "text": [ "\n", "Density calculation done in 1.48 s" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "Rendering image on 4 threads...\n" ] }, { "output_type": "stream", "stream": "stderr", "text": [ "\n" ] }, { "metadata": {}, "output_type": "display_data", "png": 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dOhR2k1h1qtOz8ov1Jymv7rMsGGICKQa6YnxqSwGXWzvWxoQT17UFmKxwVl0w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1TqwQTe1dVVLC4uYteuXRgZGYmwJCsrK5idncXw8HAIhqzlxVbb4d9aGN80+Jwe0l3On5BMDG18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"text": [ "" ] } ], "prompt_number": 21 }, { "cell_type": "code", "collapsed": false, "input": [ "pynbody.plot.image(h[1].g,width='200 kpc', av_z=True, cmap=cm.Blues)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Rendering image on 4 threads...\n", "Rendering image on 4 threads..." ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n" ] }, { "output_type": "stream", "stream": "stderr", "text": [ "Building 4 trees with leafsize=16\n", "Tree build done in 0.177 s\n", "Smoothing with 32 nearest neighbours\n", "Smoothing done in 0.451s\n" ] }, { "metadata": {}, "output_type": "pyout", "prompt_number": 22, "text": [ "SimArray([[ 773.51574707, 775.52825928, 777.54034424, ..., 619.25726318,\n", " 617.1003418 , 614.94384766],\n", " [ 776.91687012, 778.97802734, 781.03839111, ..., 621.38391113,\n", " 619.21942139, 617.05560303],\n", " [ 780.31646729, 782.42590332, 784.53491211, ..., 623.51269531,\n", " 621.3404541 , 619.16906738],\n", " ..., \n", " [ 741.20367432, 743.32147217, 745.43774414, ..., 882.82843018,\n", " 879.76422119, 876.706604 ],\n", " [ 737.50848389, 739.64691162, 741.78356934, ..., 880.90118408,\n", " 877.8538208 , 874.81311035],\n", " [ 733.80169678, 735.96105957, 738.11846924, ..., 878.97247314,\n", " 875.94213867, 872.9185791 ]], dtype=float32, 'Msol kpc**-3')" ] }, { "metadata": {}, "output_type": "display_data", "png": 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tl4FkyP2zLR3sG5XwjW6YIhu6SIFvxMEEl6JG+bQt5O+cEpiB6IArBl/81xh8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ba2QkiF675t7amyJKLioXto5gwinIhkoCbk5YMM/vkAIWgqwa9JhJKVOhsXAebEQgohAMrOVJ46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\nMznQECmoyGn0lco08pSK1OiIS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"text": [ "" ] } ], "prompt_number": 22 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Typically we want to make sure the system is aligned in some predictable way, so pynbody allows us to easily make the disk angular momentum axis the z-axis:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "pynbody.analysis.angmom.faceon(h[1],cen=(0,0,0))" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Finding halo velocity center...\n", "vcen=" ] }, { "output_type": "stream", "stream": "stdout", "text": [ " [ -1.28863327e-14 4.35041217e-13 1.22950847e-12]\n", "Calculating angular momentum vector..." ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "Transforming simulation...\n" ] }, { "metadata": {}, "output_type": "pyout", "prompt_number": 23, "text": [ "" ] } ], "prompt_number": 23 }, { "cell_type": "markdown", "metadata": {}, "source": [ "we use `cen=(0,0,0)` because we have already centered it in the previous step... if you don't specify a center, it is first centered and then aligned. Now lets look at a slice of the gas disk edge-on: " ] }, { "cell_type": "code", "collapsed": false, "input": [ "s.rotate_x(90)\n", "pynbody.plot.image(h[1].g,width='50 kpc',cmap=cm.Blues)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Rendering image on 4 threads...\n" ] }, { "metadata": {}, "output_type": "pyout", "prompt_number": 24, "text": [ "SimArray([[ 20220.50976562, 20200.53125 , 20180.5546875 , ...,\n", " 19654.78320312, 19650.26367188, 19645.74414062],\n", " [ 20184.61523438, 20167.7109375 , 20150.80664062, ...,\n", " 19755.99609375, 19749.9296875 , 19743.86328125],\n", " [ 20148.72265625, 20134.88867188, 20121.05664062, ...,\n", " 19857.20703125, 19849.59570312, 19841.98632812],\n", " ..., \n", " [ 24377.94921875, 24315.953125 , 24253.95507812, ...,\n", " 19957.59765625, 19975.203125 , 19992.80664062],\n", " [ 24303.73828125, 24237.01171875, 24170.28515625, ...,\n", " 19852.88867188, 19864.32617188, 19875.76367188],\n", " [ 24229.52539062, 24158.0703125 , 24086.6171875 , ...,\n", " 19748.1796875 , 19753.44921875, 19758.72070312]], dtype=float32, 'Msol kpc**-3')" ] }, { "metadata": {}, "output_type": "display_data", "png": 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NURLA1tqKaWlILIW+w4tyYK/zV1e5Nubg9Dd+Gae/8csAYAF/7bTGELglPl/f/va38dZb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\nuRrfz8vTxQ7FmdQYGcdYq1NeaFzWed1la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"text": [ "" ] } ], "prompt_number": 24 }, { "cell_type": "markdown", "metadata": {}, "source": [ "By default, `rho` (i.e. density) is used to render the image, but you can *any* valid array is fair game:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "pynbody.plot.image(h1.g,qty='temp',width='40 kpc', cmap=cm.YlOrRd)\n", "s.rotate_x(-90)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Rendering image on 4 threads...\n" ] }, { "metadata": {}, "output_type": "pyout", "prompt_number": 25, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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3VsvxP8l0UAi3bORESUQWs6nnrIPvGkmsyzVKaSJO2eXpXF97bFlzfZ1zWtOk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\ntk70mySkJgB1g31znuHHb6u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GURvIhkvlXAohCV3mEbwuJ3+gFbMasSrlZEjPlQNBxUzA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\nYDHr3N98801cu3YNb775JjY3N+2avBdeeAG3b9/uXaFlAUVSC2FtWOF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/P8P6/3wYMNF6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RicGfB5NzHj4u/3wGaPdC9KFLrthF659uzNYCljAzBRAo20r63an4VGiJpGVdMgFpuvhtFOgcmh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\nsTnAVAzlYnLEip2rRPt+/Xpg5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pnid4TE14TEV0Xx+2v0/Fem+GqVryb4r0ymVf/ErAVQ\ntZ8QiaYxopzmJ8xBRk1EXB/RTzVTgHxOcZ9T03J1P3PAIsk0w1qLn0zqvtS+i8KqoawZ9J4yP2Yg\nIn1O6UwJbRVJ6MGvdbvrwaYVlyVI7ADIwKWSTdfgTZ+8Nte/xXOpvWegt0Hds3T3RtXW6VTgxYty\nK+HyI1VA3QvU0+XKIDy1Nr0KpkMZoEeMWRkjw7HT3E+fPo2DgwOsrq5iZWUF58+fx+XLl3H9+vXO\n6ogl9lQI+B8U3zugyQsiZJo3V7ej+6NTDR7EXKt0DF2Ld8tK/cimSZhqS5VJVLMeQDfEy8K8LUsp\nKKHTwYArOI2aZ9VKcGp3r0KLtPur0OwKbXIiALVXOWTh5y623UQRwESCsCiZCgBiQubWVwMGaObs\nSk5rECJ0PzIjp5lHk79KU3Rw7L2k4iqmqK+NVSj0Pq+j4PWBYUXGsn4OVDHUWqKWQzLb5GorAOIy\n8oMrz7RAVcfJeZO4LWJHfd7adM3z/Jlau6+9tWWicE6Z11u1oHomSjmKdSPqQQx5jIv+nqgCdLeX\nlLLW7GfO7gJWpF9K3hOCY0fuZ86cwaefftpb+TH3sXo5xZrSzLxcPVxJMS9hk6B9vndn3cQEXy5o\npZn/KoInhZwSajcuVPVTTYjz6Sp5KHkDeh0TUfq1lS+5fOGrQCsB1R59oFCXrfyLJDiNQPkvpURh\nxqzSCi0Iy+5nVH5tVMFg5UBjahPuxGjvRJAIeTLXXOjdWmuaake+qb6OgpIbRnoXOKJXclYbvJB+\ntG45UVxrH+hARjfBQyub1p0Cl/usdg8Z8jieG1fddoCh/l0NWoC6rSqGxCJ2o62mLFzwXCguR93z\nGsEbF1OdfyHLZ0bW10QNXurnjAQBltM+inusvB8npStsiL3cFRrvCndycOzIvU/E3spd3PKhW9d8\nwdjn3VL4CJ7Wrb34qQZN8wj6EhVaXvXioy8STQ6jbPXyr2SC+QKs9JJCUy4JvjK/TqT1ojcHEZV/\ntDpoy1WNDcq0RUCSZH1YVKsEaoIX5faxUqLcZUtaREo190kZPHfqVGn2rshQl48OEmqiVzMJag2e\nkrppYXKhaLcg17okeN+9ZP5m0nKkbltz4p8ar7ZryMQTf/oT6nreTMsTHayptqrBmg+uAMnakmSm\nJwM46IMYRd6WsFVwaHkKotoCuX5w6xgHATUToixGPWelOauy1syaZ03tIDXvCUEmdwJOizGPdwVN\nYxb+F5aZz/XbT+g68YUIHvCTvEohgDLASn/BaCQP4chfDwAUkWrnSXRyRfTQpydNJrWWPRGoIvO1\nNhCt03wJm8968TIVQKnB1IMLUUbn831Mp5mdElInVibYzCQ5NU+eLubCzYsuBgxqa9JicxVZvnUp\nEUipjunaH8CvwEb7iW6JC9SDHSorwBOeUDmI7PRdrLRYH1wuBDZOxVhASn23gwxJ88wBoJmUyGda\nFyyrgzpWDdKKvNVOgRMzvS4Yp6nT45qbyJHPbIW6T+uBdV1+7fqoZ7AIkH0fRD2AB2S1XgOtgRJ8\nfSBjbMjk7sAY79emxE7TpBI8wJO8VieJWGfs3ADzslTfqxcHTaOyGURfRKbLmsjBT8EzPASWzJp2\n5RnJq+bofSIseZVP3hWQBlN7VAReFlcRBFCsjOeICaBymRq8uU0xm87d1Poy2YpeMThzDMooWQty\nzv5vkyItsSsLr7Mcyd2/uhw2yev/6f1Cr09lgjcsE9QUH5r2Zprg6+WRbcJn8xNFQeVzafSFpUv3\nzauYFjO6Xg3UiKu+lBfdXbRkCGSfexiZ3GeE2kpmm46L4/6H10fsbcARPOAneQXaprosoZ0PmeJd\nZZsDCuVzV0Shgvgmpb9dmaRjfKyK2GldVB41Bas46WLGmuSl1N0JdYpKf7fPGaTIDXTotaEaqpoW\nJpX2LnUfvEqnrb9vTb9kbqDSWqHMMZV5Hvb1oW2ghKbkp+Rv9wc5QsdvnEyyJiqzHbRPYjVc2+dd\na6z1CQFzsEnbBOgaOUfqgHvqot1E0ibVIHDXLFyWjVqASqNX2jx52NW9xk2f8xE8DXCcKbp6AR5j\nZHLvELbvWtbBLeUbUvNPO4iVggu6aScj75d2vQS9Aw4lo1F+kY9/5FmfrE9eo/xatprgizSyXsHO\nU6BOovVxabzQa629nE9PT5gSEoJ31c9ZLDg5qCwuAmOJnf5WvndZk6CPAGm9JsGrBnOr9HHQpi96\niJ2aoOna7lRGNXVLHVftMs32ppZr+6f5+7kajJI2s82zrBb14ItOT9R98WSw49HaXb711EWuqmdR\nEbBw/SbtrRsUTfCjoFSB5gF1o2jAbJDJvSFCWrZL86WaKF3xyh2pGz6WEoxE646SuSXJh/Kk1CdE\nvdc3LUeW+agWz5dtv4jNlJXZknCclorR5NV1VEt6Uv+0VhfVbI1zRpGASepSj4p/QeYv68RXE72S\nTbXL1Obt/qlf/jVZFA1SL3r1slcDHn4AR74zxKYRmkHsqk56TtXrsmL4di6kgwPXtQbqwVQ1WDQG\neyBtpRq6dT8ZUfHVjnHG88VFwpvXxxV7UMvP3Je+DNCvsbpPpaxOkHu/vu51fWpdftKXEs4FhTKG\nRSb3DuAytQO69q60u3quOF1G00+gKg1Xd1cy+2QwH3I2DXNMBs676jDLNRUNVXo1jQe1RsyslRas\ng0IPQqp/05d+pdyqtI4XoglzcxanDOX/ekvg+qU7ndJgulrLrafFlQRfmuiVBmwSu2swp+Y+04C+\nghyFTiKE3ak52tc2c3ooJd/KLE3breQ0BwDQXb6cRm/XbbQVNA+xlgjj2tI81JVC2mr62IHw/a5A\nLQ9c3EQlv+MdQ89RVwqVgQ5aXQSv/QfpHwGYrgptsDRzbhfIPvcwMrl3BNPU7jJ1hwjeRNdmeU5m\nU0ZVrzuffSyF8F1lmOd1F4cicPL2BaoXsiJeWrarCTHdybWn5jJVudRO0BepEoRqbqEAPrNuCUrQ\n5X+D2M357tOpgBZcpz6MSdtVr0nwVFM3ScCEqbW7BoyaZk6IXQ1U9LTUaiGcGns1UKhqr39TUevv\nkid42PeI3i5C8oYWn2qKdxG7i9Q5ywQdZOgBs1Ij+SDBQw+yM6dBKivOVLVz5qROkH3uQWRyL0Ff\nXE3A3evVgwQJU2NxEbxVrkub7dkUFmNJMNP3DY7g9ReW/iJKFcke6OiaihKi1taJP54QBDVrU9ld\nbaLZqxcrednrPvQ4YjdJkBK797IaBK8GMFr7Pe2p21XX4iR45rtljq9I3yGuMWCpVkZ0lC+0Y2qt\nep3wfC4HWggldvW7OK23XW8zGZBUbeCJ3SR113Uz751qhpoRFKl/sQleHaTyK0I3/e19Kh1RyOQe\nRCZ3A9K4+VNQk4+pBdUET8/pq72pl+hsb1rfADyV4PuGNXiC9k4q0pABk5a3Qb9yZG9bZQRzrtzY\nhNwM9R7ihlzV/+JmqDW54v9UEgInGqoi8lqjjyd2SeQuvtkXWbVFTWc2e0+1UZEDdU+A0QKrNoIS\ntiGbtCXRCU5ZMfQ+Uu2iy8yaxE4HUeq3dv+QNpvERQc5XD8pjd993j5WDVwCxM4NbFzuFIVpKb8g\n5XDy+QiaDuZ0Ui96bdB3gxBobJY/QYOCTO4epBK9y4fOEbwqXwCVNqjKKM75K+QCfpogVMLYCL4p\nfNaRWNAo9iqSGGRQh8JsXszHL7YslQbB04V59LIpAetmW813TrR4GkRHib3aIGRalwPYBFjVXR5T\nS81yL/3KJCtJJLWh3lKiL+bw1+sJ0nZWwrB97D0dhanxm14n8xgg2MFNIYtOZPS5laplWvtr87YJ\n1Q8+YtfrtQTt7TmkQZQuwlfXWhi/o8w4GYMgk3skKFH7MBGy0qY0EjcIXp3nCL44Fyb5pgSfSnIx\nfviuwfkW2yKF4F3vLIvgqQZvvCBfTMstQYvK6+vPaXNUq1XkIevftQZf1FXtbKaI3wieo8SuqqMm\nayK1IYPUX+AMiVVlSIGpLGYwUO+uttaAsIP4TK2d/lZ9XNff7r4zxxKhq08Hbpa1AgAXWFaV7Flj\ngSN2swyaVZZ/pJEmJLfrdyi9do4MeNS9aLm8VPAhnEaNfpHXlg8ik3siYnxNpvHVikZ1ELwyg2pl\nBUjeDKBxy93+YbC1udZFsggRu68tbS0N1gvWLB9uDR6G/5IGplkLh5j1Sju4ihIfN2e9NtWTY4yZ\nV4JMJ/O0V01xUsTCae9SSu1lX9Wh3fSGBk/S+RBz2Wqyix+k0e+m9m6a5uuypZZ4KkVwgxwtCLE6\nptdHid10l6gypJEvFua7ia4QS2UQnjxsuSRP1WecP3+WOEHm9abI5N4QPqKr1nVG/SBzBA+oUXGd\nn/rh9fr8JB861wdSn6+YF1bf1gGf9h5LLizBk5dkpXXJmuCVP9q1CcvUeOGrVPzubw6yV8Quy81j\nihbrW8GSNgA22VGtDUY+kxR0M62hsUPX7opEdKU5vZ1dXfZQOWqeNpvXQXScVqwixgWTxnUP0/eB\ni9jN/LO2lrm0f3O9A4Fa3pkj+9yjkMm9I7BT31CQydRB8K78puZ/XNCHeZ/OOqD1pNaRktxF8GrZ\nWm4efJ3GrbnTl32IwOlxey68Kkdo/mf6nZKqgK2ZKZkKCNCo+SmKveeh5ITEKe2lX59z+m+13yL5\nhncu44zkopwoBmm6lcIKMCv/aCToDK4LE/uQu6jqGjofi2C7LY7r22r+kcm9Q7hIhbv9fdPkXGUN\nNlLuGKZ2YJ7rU1vpqg99Gnz1imRWs3PLVZN6raETAjf2badR9KDpUWvgisyp5k5lp4QuQc3y9V8F\nM2peBdYpsqvW4zfiDlyD2ZRrrMWmgC9XoFyhEAITo02qKvPKc9aLGKhrPpXFPHBF8LVsPutaYmUJ\nMAdSnFva6gNywOXG5gY1/lJngBOkgTdFJneFPgefal626zTsaXLmgCAcPR8QYaTPQlsy5zQdp1k0\ngdhdZWgDE9gED0I89fZ0tebn0nPo4i2mts5p8a5pblPDv67q4iLIFfnRY3R5UdP6oORUpSrfO13c\nZIJ6NzKl0dIYAFMGH4o6iYZePkcC0PuZlF09S6XsdMtSq3zje5LvuWobt9ZBoJz4MV80TNnpb3Y/\nhxbvAyvWZAjkgLogMrkTdDG9zGWel8z5LrTU2PychjwWmP0w6+l3KVVZfkm4NfiC5MpzQE0CqEma\nlqsFW4Ext3uIvfCxi4qgAVtjp98FSaOIUJL/dJ56NXefaOqqLFllqgm+GtiYG5Sw/cnfiNozU/4p\nZJF6f1LTv1QDFlm2TWiaOy1bYRJ59dnYCtJ2SvChKHX7WLuHkSP22spRV+jS2v2BuHU6ZakYHNnn\nHoVM7gTFw9kPwZtT5GZF6rH5+7jn+YUzHC9zD8G7tN0UpATRhfrWR/CuUtW95aqHkj3nWwfsNeJr\nM7xO6tL4D/CaOyV1Tou3tFStnZRAZTUAqGqlBJ8Ibb0IADCXdi7TTUSxWY9J8OrfBMVOgW7NXdZ1\nVHXb9y2vpevWGn61Qh76oE6wx6k8rKvP0ShK7NrxQN7Q42/1QWAQkzE8MrkbMDWbpghp8Cn5TPSh\n1Xb1sAZ3g/OsHNfXoKcLczyXjiN4VZ8WhFXCF0ehtGCXz10RuTl/XfnWOY3dJHRLTiUXOa+b5fX5\nzsroTTV1lF854qek1xjGQ2MNAs22kAGAIngupgWot6ZV+VKh+f0NgncV18Wj6yJnW4O3a2v7jFsD\nm6GQRxZBNN1aJyMC1v0X8ZJrSk41GfCfGDR9WIWQ1adJXv2347sjj+l6S3nm21sD9P6V9COF9Snm\npZPfxMyuVpwrFqaxiX1a5q/qRa2xK2LnCF59nxppqJbPmfFVWvXR6lXtVRYFNd8e9XEp1SY3sNpN\nPyB1mqDESzfdqe638hyq+w/6B+ojmY9N7GZwWcytZMYTaIM15qPnjbtZzXa50ui/a6sEN4AxTfJN\nn5vB+N262JGfGeDw8BAvv/zyTOryIWvuM0SKBumaEsOTf0zdszO9NykjRoOPsXzEgiuH7dvqHJXP\n1gU5Td6EKT9HiJQkKLFTEuE09hgycbVNoNbY6TFVhiDtU1O9zONTKWrSpFpsmZDGmZh9R+/12q/N\nbOdLVGLqslEDPGqi13zknj4wiZ27ttxzY2qwep1ha0VrP3v5x5aVr9dL7Ew63652gN7GQQh+xJr7\nzZs38fnnnw8tRtbcx462UfJN04aQoqlPRP1xax68Bh+TvovnnOubKaNhFmlFqWXXH1WG7zM1vqvy\ntU1hLI3ev+JciNinjg9IOqq52+UqyoYhI7VQ1Mc1OR39MjU+LpjkU+yXXmjokwkwmRANHuU9Vh4r\n/hfpYhU6TotNGbzqAzf+3lHn2PZG1CHIc6STsv48hjR2s0zXOQotRiRC1pOI7e1trK2tQQ7qsyiQ\nyX2OYPtr25fRBDEvvOpla5oLYZB9RLmhl04qt9vmUTuNa7EZF6aElL0flc7S1Im2Dj0ivjqPWmPn\nzOxmXZzPvZLX6AeT8NX3qXGMgpJ4TdxGjIBpfo+4/zhyFeT4xBjYaWZ61PeVvee6m9RVfnW/0vw+\nmKvK8VMzRfU/NFivZDc+3PNS94ExMNbOub7bA5lUDLpCXTG6S/94Gry/v4/19XXs7Oyw57e2trC2\ntoY7d+5gbW3NSre/v4/nz5/j7NmznTa3KbJZfoSI4d82JN3URB9L6illi9LuKqvfpamPmFdVOhoo\npdL28YJJJXaKFEsL56c115dX6UIaO2ATtIuUFWGo8/S3gjnfXUXF14kKWU6R6HF1Ul27Koq+Oq+u\nWcSATbv2tYleMZdaQEe/VmoBHVHXK2Rw1TdLC3akCaF2UZQyCnou/p6KqYsNlvOUwRG7a6q4zyRP\nr51Uf4bg+I7N8js7O7h79y62t7fx5ptvWue3trZw/fp1PH/+HABwdHSEM2fOYHNzE8vLywCAjY0N\nfPjhh9jf3+9UtqbImrsBzufWFF2asThSsNLA/UJviz6IvS7b86JhNA/25evIE4LZl6HlYdt+aFnF\n93hi58zqXIQ81bzZtkDX6l2DATqI4PoCINPzGLk1l0KVV1hluMCazMk5oNDiKzM1o4mbliLuU5Wp\nle/WbG0LGn/P9LWUbIjY9bRxboYRu7B5dBxQt7y8jPfff995/tq1a1hfX69+LywsYG1tDTdv3gRQ\nEDs9PwZkcifoi9iL38I6V7/4BHt81oj1h3Pw+dN9ZWtpEuuMKd/yl3vK4Ig9hoR84EmeRIxDJ1WT\nIF1yu9aJ58674CN4c5BQDCqIvFpbSBkOgq8HKXX7af/4wBG8GkgKEDIXpo9dJ/nQB6QsvV6j/oSX\nRBcET2ejcH51c2Dr8qG7ZpnMJ7FPGn7cjXX5yR8/foyjoyO89tpr2vHz589jd3cXBwcH2NjYwOrq\nKl5++WVcvnwZh4eH+M53voOPP/6406anIJvlFQzTnDPZDB+EwXxaBLHE7i9D/+96mZsm+r5B5TCJ\n3WkdaSkcN/2rJktmAAho+7D7SD2ksXNwrVCn/tNd1Iq6hbWqm5T6VqdqrrsyrdcLydi7itH1AEKD\nQxpFD1WGem7pOWGWZ8url81owiaxI+790NTlxcH37JlVxJjh1XFzMKCXq9c5d8TfA3Z3dwHA8qWr\n33t7e/j5z39eHVcm+08++WR2QjLI5J6A6Bvd1Nrp9wZae6xJPha+iFn9WDtid1sC6u9me6iv1XeM\nyhg7COKuA5vOsrpEFV+mDcuiadjVdbc1WVMT95E4R/rmdxOCpJEoSJxOidP2d9fSc6MwYy/zUmOv\n7iHFxKh/K4IH1HWMJ/i6gYR9STlSuK9FzIDCJEfBHDfLc0ENZmKQQuicPLHaOps2gthHQ/YzXFv+\n2bNnAIDFxUXt+NLSEgBYPnYpJcQIOmpuzfJtIxtTkeTHtQ7EZ6bm2T4Q247QS8bnJ0+rhy8/Roau\nMGU0Ztfv+rh/URYrvfmRtsmWM8NPSUs1Tb86b9fDfXfJxP02zfGSfLei8rWBp6imt9H7WDPLG5YL\nS4ZIE339uzbV0zQCyh8vtWmYMdPCtDTo4F6LGByGppZymnpIW+dmGnBpizSzspd1hI597j6YpB6T\n/he/+EWjurrEXGruXUQ2xqKLAVjsY8Oli9Ea2z6WKW2MNcG3gU9792vxcZYNk5D440b+RI3cl8YM\npoN2jJJrcZ7bk50SYwqhc/II47v53zbNl9u7qlyGBl+kk1WwGrvmfPm7dtWkmejtVpB20Gh56Jq6\nSmgONFQ631U2ST8WIc3dGeQWkIH7bZbXlNhHrbUrn3vTvIl46aWXABQrz1EofhnL1DcTc6m5t41s\njEXXxN5XoJw1qk/JG2lmDGnqXaJpP6UGJGoE2bROoxzX+UqjZYg9Rj4OXV0OzrzPLUlLrQUuDV6P\nYyBlOzR4bTCTOB9ewWlaB6PREyt+rdmXi+N4ym9K7F75PNp6qqZ0Lub9AAAgAElEQVTOlWcGubJl\nzBuxN8CPf/Y/8Bd/9V/wF3/1X/DZ3x9ZJB3C6uoqgJrMFZQ5/vz5890I2jHmUnMH0CiycWNjA599\n9hm+/e1vB8tvejPHaHymv70LxJSUOuqn6fp6ttkYA086zh/tLtvT95I3RIauX0y9oQhpe8U7vu5Y\nEL04CpwmGdLgFUwt3tTga+uJrsEXSXQNvtLWy4qUlh+rwVMITfha4mp+PGlHG6KySVcav8N5uHzu\n8rm8/rJi9luIJXX/cdnfiyGEhIv4vTf+EN974w8BAD958nfA76WZ2V999VUsLi7io48+wqVLl6rj\nT58+xblz56L4ZAjMpebuQyiyUZ33oatRaqzWPospcLMg9tR+CxF73IY5JYl4+pAl8YAcZv0uLZpq\nrqHlVM0yfXUPAdPML42PAp1rn6rBc2voq/ScBu+Cc2MXD/GZmnwKuLwxxM5Zu1zz1JsN0PX2xQTN\ndULsGI7XCwFEs08EOMXx/v372Nraqn4fHh5ic3MT9+7d66xJXWNuNXcXUiMbKdqS+lBaewgx7Zql\nxu7zi3dFdnRxGLNeLoDOuy4BU37M/OUu9wVQUBHtLsRo8ZzmboJGzasy1YfKUEfYx2nwSjtXUgpR\nXA+1pGxVn3TvG16Z1sn9SQcHNL0VXQ8gJcCVQ+xWqjEau0uSlCh4oHtt3Xeuy/VAGkGIYkGDpnkZ\n7Ozs4N69exBC4OHDh1hcXNTis65cuYLnz59jbW0Nr732Gp48eYIHDx5omvzYcOzIPTWyUeGX0yn+\n3f89qn6/8bXfwR997etdieUEP/WtQ3N9A7MekO5fjx0YpUxBq08EymxZr52WJ/aYwUf0tDxrMGH8\njirFRojcYxa3oTKY5nnzvxoEUHO9ymzeE1MJJ8Frc+MBjeC5NlrHAkRP+1cYZvtYpK7uFnrOXO1I\nKYcbgDf1q8ecFwB++s+/wU+/+C0A4O9ffIlvNA1uGxGWl5eDwdbXrl3DtWvXZiRRewxG7vfv38fm\n5mZU2s3NTSwsLESlbRrZuDCZ4N/+flwdMUgl6D6WqmxC7F1p60lkWv2h+f2ac1PQHdzqusL1+og9\n9VrH9E2IpF1kG1uuS3unx2PIXcDcLlbX4GnNQq1Dr/Kz897te9Q8FhNNL2BvJWuWWRxvd3e5NPYu\niD3kOuti3npIBrNuAeCPvvb1SvFRJD97DGo7mAsMRu59jYJWV1dx69atwSMbOXPwLNE04rXpI9Ok\njdJ8/1fHbbM5/W76Zq1gO9f68CmyGd9nSewKtGSTUJ3lM+lolSKQ31WeqaG7/puyUyLmtHOQdFMU\n5nlZnjTN8wCqvJxlIAW126BdGTHHo/ZlSDTDp05va6qp1+V5XAj+rP1gnsP3Z4T5t6cYoJGNFGOI\nbBxT8BRgmPfQ/1Q3RZLmQicAYC4EQ4Ou1G9VhkqvHefcG3CfM8ulZfrSmPKmwCeHz0cqqt/x/2lx\nqYROYQ5yQv/V9ymhF/NahjabqfJU+e3BnlTlSH+/+pAYZxXMwz1DMW6FJv514UsfSewx7S/aFD9l\nbzYQaLy2/AnS+Oee3I9LZKNCF/72Rn72liN7H+gcb/NqcSRpkrqL2OkxGOdCFgHfOZ/VpSmpN9XY\n1YtaPaix/zlC7+q1FiJ551K4Mm4ANWWuhdOaA0L0Rpkp7Y0Jqk7Vfrsmdn7wYJYfT+wx8K6ad3J4\nci4xlwF1Y49sDC3GMetY0zZ+dprX9HuGEGN295VnvsRNxEWs23WmTD00rQux9XUFZWKn35UZnJ4D\nbDO5adY3y4uFy9RPj3HR9WoPeNOMzq1YZ5rep1Jo+8FTE31Rhn1fa30v9PvadS+6kEJcKdPdfHWE\niL0LU3wKqce8E4bDKIQYNeaS3I9bZGOXfBDWLpoRO3fORWQu0o01e/six0ML07gQY6I364oNcuzD\n3UJJeAJZ7awmmTTc9DiT4Ll8TaAHz/FlUtLXBgSEvGGkgYO41fdogqdfyL3dhY+dQ1NiD8HnY28S\nDR9LyJN50dRHJcw4MZfkPkaEp0h1k8eHJiP1JsTuDi7rTlOvjjHlSI8MTTCGrXUBm4A4go8NaqMk\nLI3vquxYUIL2/ea0eEBAlNq7TvIFSavpccXxohR1703JCnY+ggf4+1Xdj20GM30hhXz9PvFuWuYj\n9dFBCMxybfl5xdz73MeAruYom4gl69SgoDbwLkBjpeX96ZymzvWhS2N3TWOjeVPg8ivGBhjG9n9M\nOlsrI/JE+t/pd0HKEGj2wKcOBNR/9X3qKMEX51BdVzNwkuQ17wnfvdkHZvXMnRw6SoFo+Dk5yJr7\nnCNlxB/y4YXKTDHDh5ZZjSXl2OVa/asBdoPQ3vHx/sz6O9ceapIGdNN6jAZPtXXO907N6m36xtTg\nQ2lk+UdZKGoNXdfeNa1cANQnb06jo/vBV3kIjpui1nauOoeQ1n7c+vCkIJN7S6Sah7sIpjNfjq40\n/kIa5jNg70neDalzZfn2Pw+VNVb4iN7lJ+YIXkGROTWPc753qs1zVhdNjoh2cAF1Pt+7y1dupokh\n+CI9v5pd6vTDITAWOeYKudOCyOTeAtyLYzoj/23qvd106UsfuGli7nPGb2eZvAZum/z9eZpiSP+s\nqbGbx1wavCJnanb3afMmmbt6r4lm7iT00veu5ZXQUxjaewzB0zbQ+yBm4Zi2Wn5scjNdStBrV3e2\nSxnwlT9e/mzqYFJ5TwYyuZfo44Ueq9WPbXGbGMT6xNnfZlmeKHreVB8rZXuYZB8yzXdSp4PkqZle\nETyAKpJeaeicud4kYFNjZwd7EbJyAwCT3Kl1ITRgqPIamriL4F1ymOb6GPiC81zp+UA+Q3Y0p5Q2\necdQfm8Y78hjNMjkTtCWNLjdxoZA0/veemG6/NvGuVhi74PUY4iWErRGktr3mrTN9GbdTTceSYUV\nPc8QfPFdlpqxTqym5k7zuUg+KBN0MuCWnI2Ba5667VO3SZybF1+dM+Twx0jwrWbjIMyCUT8HAlxb\n3ATPPWf674S8UPesPhByzR6IGYyE0mfMBzK5dwSfOb7JNLgh4ZOtCbHHkrpvXvks+stJ8Checpx8\nKZp8SIvkyrGC6xiCLwhXejV4TnNXc+MpYYe2kxXGbw5NDaac9m2a5ytzvGe+u88aodVn9Lfv+khS\nMBcvIKU9u6IrgldWC1deVt4Egjf7M6acwTFKocaFTO4dwCT2sWntoU0nKLog9lhtXb0wXVV6ZeF8\n8+7kOnE7tHcrnVHmRNh9oPJ0AbMc3YfsJ3itHNgaPE2jvnP+94mRhpbplT3iGGcCTiUPk+BRrqTG\nmdRdV8VVXSzZu8z3U0aLb0PweqW64JwGz8U0HE+CN4eZqXlPBjK5t4CUXS0hMVs0ub05UqvONSB2\nM23McVc5MSjMqryWHSJ4wNbiXa6DLmFaBaxV2wyCd/ngOaI2tXZTY4/p4ZAWb5O7vaCNCetcSeCU\nYFwavDpX1e+ohPaHr50hv71zQOHRwlWaGC1c095hWwf6IHj3wGdEBC+A5ovYdCrJqJEXsVGQ8aRR\nPGg8sft9zv3eWTFae2NY7WI0ZwexmwuOqI1kzLzq4xQhcdMW34IwoRXCQrMLhCh35xLtX3q+7ILZ\nkUvVR+vVibZIr/bAMj/qnLnozcRI44PrxRFD8gqcFch05Uhn+vr7VApMPQsm+e4raXx4OYX33jPL\nl+B3PXTB1S4uXzhY1f9cho6H3IvWB/0PcjOaIWvuBIq0G+cPPHhN4JrrzKXrC7657Gw8QVJZ4fq7\nDFqbCFm9wHwBa8VvQ3NW8pDyRJVWr8cVP+Ba9U4dduXjtHiXBl8QdO2D5+pSmrprWVpOm3cROhdU\nx2n1yrLg6jMXXOvJcwF1qo+4hVlsdwpTFyO3KUud368le/3oRh2cZcKVr28NfirF+JejHY0ZYbzI\n5N4RuvKzcwFaXMQ2d74P+DQJTuMwRTQ1dl/Zdt1pDWNN0EzfmQRPz9u/qclXN9WDqa+uI0l0K596\niVOkEHzxXWqaHB2cmPPjBfldyRKQ1dTyue8c2cfCZSaO8VVPjWsVu8BNyGevXXuG6M3B4pRcl+I6\nCT09KZONqajuR920Py3bzA0OinJV++n9a7eRy1uUL0qZx0jysfYlV96TgUzuLRFr8upqZTqzbB+x\nt30wQ6vP1cfL/9bxZsTeRlPnCB6wtXKlmcSSfHGMGXgpmRtLzKMig4AMKRp8V1HzHOlz69qrMusa\nm79auXnv3LRNNlAM+j3l00pDz5apcVP5ijy8jLL8w5G1OYhxafGuuf/c4KCW17V4UHiApCwho9Ti\nm/rcTxByDzWE14/X87Og/LxNNPbYLGGt2p+uCbGn+tRdcI3ruT4z962O8cW7tvRso0+4oEjelEH/\nrf9X+ervRXrqUzfJ2JR94vmY8rnmuru+czLHrSgnjN9cmvC9q3z0la8ettWCluVyPXHVcBva0DzU\nF0/TcnXz3+0+CD1fEiLKF+/qN9VHGfOFrLkTdEHK3fjZ26+C5nxZRhQb2sc85GdPIfZeF4EB/wI2\ntVw1nSqkxevHbHM9rbcJXN1em3SJ5tjSB69M84Cu0as8oduY0wroAKGPgQ7g0F7Bm5ot+RwCuXan\nmzD1mOXQ9Lr2XWvynDWI86mnaPCqbAW6+Q6VN9UX7+7PIudYtHiRfe5BZM29Q7gjcv0aB69lNn+I\n+vCThaLjuXTByN4eiV3BVQP3bpgwWjynycdq86kIaf/Ux6rqNc/T/6rM+nttGje1bVPLNqPnQ9q7\ni9iLvLpJvo/3cozGzkV7+2Bq9qG6QoMims+cMZKqwdM8tbwRz1yEBu86VtTB98lsIVp+Tgay5t4B\nvP5j5mayIuAdKuYs1jE34TI1puYxj/ftqvDBlL7WfskxopEL1JoKTcdpb6Y/vC6vpeUFfL8GI/oj\nNHhZ0ry5ep36T/3trlb4psKJKo3Ujiv5wHz3HTPhWi61OJdaFn/c1KyB+noo7dUVfV/dN4Bxbep8\nKi233S3Nb6bnAu20sss0XUTTuyLsab3eyfF9QQB5nnsYWXNviNjRfwx891uqRthGg5TVH0+ajkh6\n1oMWCm78bmrkQshoTZ6toyNNni87ri6fBl8TsN0fVEMPae7CSFN/jyf2PnZBA9I1dS4vB59Gr5Vh\nlclbtTgN3syfagXrW4M3ChsAWWsPIWvuJdSIt9sy42+mifDPcdbK9cy1bYou2u/ytfeptae2n5u3\nDtjafIomz1kAONmarqxntpA9FrG8bqUJoiZ46oen503t0YRbczcGRJV8VFZd7qrMhO7xae/+fOE0\nrutpn6s1ek6bV7MdAKqF15p2SINXZXMaPP87fT58IZt0pqFtym7u+UIm957QZOqbj+ApWvnjmWM+\nYo9ZPz4VXWntTfqhNo3qMpiEGUvy3Mvfberl626C0L3iInhAb+sEygwsNCLSBwKeeqr/kj2u6me/\ne8qNQWh52ObloizXfc48r+aFg1h7NHO6ysOU1xfBx6Tn4EoTk3c2YExoKXlPCDK5d4y289ljCb5p\n2SZ6sVjMwEzX9oXOadUpmrwrst51zFV3DNFzmjp33OV/Z9uh6q++63futNLqbExYafRyqQz8d70M\n7t6MfZL6mlni09rpeX0uu2A1eZpGDRJV3WPQ4FNWtOP6YubI89yDyOTeAbpeM17tPgbZ3p0lEHgQ\nB/GXtUMMsfvazE+TspeaNTV5mm9Spm+qxXcBvk43wbO/y/+mmD4Ct+RwyMZ9VzJqdbUg9i6Quhtc\nkcY+bmry5lQ6k+DNsnvV4I062xB86NxsMPToYvzI5O7ALDZ58b34RflHkUwqSZjTppqgqUbU53gh\nJngsXEb9nfORO3eEY7R4RBC8WY9+vt2MiCYDCNbaYKRxFek10XMk7SH2oUndhRiy98Vb1CRdfKFa\nPDd/3LUvPZfGlCHW5B5ljm9A8BnjRSZ3A32TOkXsi9nUvkN5kkbULptvC/RQZFFuC2J3aaiuKW2x\nWnwMwfuOxyLWNK9k8mnvMTIl3UIWgXNp6opc1qQxEDsHn2/fRfI+LRowtXD7vLl2PJcvRu4U7b1I\nYxP8+CBamA3Gepd1j0zuBLMkdoWQZufL00n96J6Ig1aJRG21Cam7LBcuSwirlcOvxfv88GnXU68r\nFbEEX9RhprPLc1sZPDIECJ2mM5P2/dRZfdO0HM8sFZ8WLcu8E2O1upB5Xv8eZ573y4/KGpiC0fjZ\nFQSQ57mHkcl9JOjbPzuvSCX2mOlUVHNUfe7SvH1avFmGbztZ17FO4BihuXYY7Mry40pnrZznSxtX\nVWNwTY29BD7ZQhvFcL998G1rm0KqQauBMaKYa+09w4sccjgiCMF/jiNCQXG+JV25PpmIZtuscn1s\nHuPIyiWPcBzvE75qnNpz4j3my6OulXnN1DWx+pd8+kRbepLGh03DLB7jmjI6JWnpoFJWx+weofU2\nXeDGVZ4vfewiNxnjxYki94ODg6FFaIS+id5Fim2mm020l7+7fNfHhZigLV9dPnlTSdJZj0e2IQZr\nsbMLfB9XuayWDs89FSlvyj3BYZY8FFyeuYEw+qAgPb9eljEAaVVWO1m6QeBm9d7Ix1RbYjC35L6/\nv4/19XXs7Ow4z08mE+2zvb09Yym7R5OXcGy5bdOnknJqfZwG6CJlFzGkWATs33pQmFtWg/AiCb6P\nDX+6LttFtoJo6amaevzAblhmSandRYKc9q7ni39QfNq7N98oCLotfJsSx25YfLwxlz73nZ0d3L17\nF9vb23jzzTfZNLdv38bGxoZ27N13352FeIMiJUBKy4fwyyvOX1v7ec0FeZoED9J82jHHcSVDuEw+\niI2T2RdRHuurt+tv0A9wX6OYxY+aTrtzDoaq8458DcocO7ggOICPeG9dF+cP76EeV12jxlwJOwzm\nktyXl5extLTk1MQPDw/x/PnzY0HmahevVmVEkipHEDGE4CMdV2BZSB7fs9ulG4Ej+UkpM0fcvv7Q\n0kHvk1gybzvvPab81mXAPeDqs15VTtNdCruCi+AhBeBauMYR+c6VGTrfBZrOe8+YH8ytnUJ63pQf\nfPABtra2sLS0hBs3bmBvb6/DetubtYrNNeI+ZvpW9fbot9f9zLr52m2OTfTxop/4AJdsUek85yZz\nqp1yUITOBcip82y+Bv7yeUCbKPzWdTsGN65Avu7r76/sOGSfewzmltx9eP3113H9+nW89NJL2NjY\nwIULF3D//v1Oym5KkJ0RNEP+yWV45A+1TY+S9qWTWromkexVfnhIJeSnNT7OdAkE1JSsugiu87Yh\nvbgoVL50R53s8R5JPTjTopdaZ1/HGDDE2h9xyD73EI5la69cuYK7d+/ik08+waNHj7C4uIj19fXB\nouX7NG11TfCuF3VMOWZebg1xH1GYcvhI3SdXDJnHICbi35bJ/D24mtMKvkGZT1sPoW0Q6JAE36bd\nY0HslLhRQpmRGn2GFn52OJbkTrG8vIynT58CAO7du+dM909yiv/4q8Pq87MvftNJ/bPwWTXV5Ju/\nWH2ymGltmUwT78R4/lxR17TMUJCXT76uX85t3hepsw5Sy2qDVGKP0dbZaPqWRO+sC92/y1PKi7Vy\nzQJdxnH89Ivf4N//v0P8h18d4u+mX+KXctpZ2XEw7XGpn5OBwQLq7t+/j83Nzai0m5ubWFhYaFzX\nmTNnsLKygqOjI2eab4gJ/s3vLTaug8MQwSgC7X1/MYF1epCZESkOM5jME4Rm/PdhDObYqq6eA+uG\nRhNiDyGG4FL6p+/gQ6u+gCzxBc3BDeDBG1/9Ot746tchBPCzL347tDgZDgxG7teuXcO1a9dmVt/C\nwgIWF/3k3UVkeipSR/ThF1/dgpi2uAYDMYOEVILXpIx8KfdF6E0GQU2JuQkJNZ+21n7w0DWxN1lD\nocsBUP08NM+bnK+BOyMjAXk/9yBOTA/t7e3hnXfeCabrStv2ldPGDJmSJ6otTtM3dyztJR4ygcd8\nGogejShrQQdl2a6KyEIbYGzE0bc5OikQEvHXPMWA2/XgZkjELkU7OBpHy58czD25m1Pidnd3sbq6\nqq1ct7GxgatXr+KVV16JKrMNwXcRER+sI+E+jZHF7dvmjklvGtc0qa4eqzF5zrpaka/Ld04XGu88\nuA0oUmMUuvLIugagvuvpmh5Js8Tsu3CykX3uMZjLRWx2dnZw7949CCHw8OFDLC4uYnl5GQBw+vRp\nHBwcYHV1FSsrKzh//jwuX76M69evJ9XRxETfhkiboG//bazp2jLJl220Fq8p/zcVeZ4fS1/MAveb\nyxODLm6HavEexznzuG/VtFmtfDZL/3vKoE4PqvMPjL11xifNyAAwp+S+vLxckbmJM2fO4NNPP+2k\nHo6sFeE30c6HsgrFDFRcA4XYVet4cir+u0i+L7jq7RtN/PhjRere32MheCVLn+Xz58LHhOccV0ff\nfTaV7dafGBTZ5x5E7qES8b7VZmb3vh7ULs3zLnAvgBRz5KzcXWY9Y3KxRfl6G8Q59AnX4Mgl0Swj\n133ofrXC9jsV+lYrHEev+TE+v3s2yYcwl5p7X+hD45sVqcVtDuPX4H3lcFqpS4MH+HLMvmjaz6n+\n7KF8yKG6G0ffY3YWgq60OzqrYhZoosU325sgfMwkdm0AmlBucbybOI8uMFhsRhttYUwj/p6Ryb1H\nDD0FqFM4GMXl64xpSyzZt3ke2/Znl5djIqS25ScQ53uPRWy+1J3F2N3J4PDJB8oeiuR1GYTzXFyZ\n8cd9xG7n5+WZtel87naIy2CRyZ1BGw2+7YByaIJ31d9EW0ztx5lrHj2UafaTTd6zm/POQZWTQvCy\n/MMRPMAH2AF+8hz2Hu/WreZyp/h87GYWl6/dd9W7uCNcg7TxI3uUQ8jk7kEsObUhJZdZb4wavGvP\n8D72Lp8XpBIv797oTnv3wZQzRYN1Ebw610SLHztCz7XrfJe7AfY+4G3J7oMNDrJpIYhM7hHo+j6K\nKW+shOjS4GMIXmFW7fLVw53qL8pal2VS9tUsL6+vbfoUPY+2Xf45jgQfHZjq8YXb2jiTjsnnyhNK\nGyMXRZK1hrXUjGV/d4Hm0fInZ1CQbRsEswp+Gzptq7ICPsNZ7Ag2dnDNstqauBiQRQIJ8qQMWkJp\nJQrrDTs48pQ5lkh6itT70KepNyH2lPraXP8uMb6o+QwXsuZuoM850k3IrEsNvosHs4nv3VteZFDd\nmNHIj46weT4VXXVdtM9cMP52uImnbSBbWzQJcHWf45+mkG+d5vflnVUQ3fz63OdT6lkik7sDXZvF\nm2qp8RHQzcrvA20CwLrq91STfNeIGQRx0fNaGQO7ZkJk3ITgVbmzJviurGDO5WOjtf/w+hBB031c\nVa0RGzU/yC16XM1+HSKTuwdd+ImHnMY1b/UqDLHC3CzMxn2TNTeg6KJdPpJ3TW1zRdJzcvVJ9G1N\n7kDZhkhNvUrPposj9i4tDDGYliQeW8zwvneB5h7lkzMoyD53hYjIWJ9/jp7vwqfcNQnMfivb9g3o\nw9rRVirn9Y89FvKle3zvqX3a9YDFVZ7yw7vOxZTbh1++C2KfqB0KmTwsMbPlS5g9weWfcGUGtPaU\nOfdeuK7fiCyCFdQIqNGnP7G2trZw+fJlLC0t4caNG/1VFIlM7gQuP5qdrjsS7wKjfADRHcGPoY+D\nmIOI8C7gI2Afwcf2Tlck34bYC+6QrAk+ltRd2xa77uWYJZ67eAR8AzR3Hi792B/I2eLg4ACnT5/G\nRx99hIODAzx8+BAff/zxoDJlszyBMr9hxtOUMrpDl1q7i6xcYJfjDdQb45sP1TFr+Mz0qs84skoJ\n3mrjl4+dasohxafu1tJT6uOPD+Fnn5+NZMZnlj9z5gzOnDkDAFhYWMDZs2dx9uzZXuqKRdbcGcRO\n6eoLKZp4TNqUUXaXVoBOSWiAyzH2F93Q4jW5vimXsc91BzjEauoAbx53Bcu58ru09Vhib+62cmd0\nbhY0Nu29qVneg/39fayvr2NnZ4c9v7W1hbW1Ndy5cwdra2vOdBsbG3jnnXfwzW9+s3Uz2yBr7g4o\n05wvmrkPDBsdHU4To812/lJ2zKseCr7AuBhN3MwfipqfBcwV8tpiKC0wJHsqsVvH2DLj8tZ1uWRj\nynGU0Zebam6mxnXcATs7O7h79y62t7fx5ptvWue3trZw/fp1PH/+HABwdHSEM2fOYHNzU9t+fHt7\nG1tbW3j8+DHOnz/v3Jp8FsiaewCugJo+kErsXWrtoyV2jIvYQ+BkTe2RWccXmNdeypQpmM188LHo\n8n5qQ+ycX71IFz8oEMKhrbvKYaUNo4voeXaRonl6EBOxvLyM999/33n+2rVrWF9fr34vLCxgbW0N\nN2/e1NJduXIFH330Ed577z3cu3evN3ljkMm9hO95oAE2Xa4bTTF2jT026rlLpJDMWDAPS61SeGMU\nOuh/V/ZZE3xbYtfPpwfLuQK1hZBsMKb3fdTBYxbs01FHzyufe5OPzyXBN+7x48c4OjrCa6+9ph0/\nf/48dnd38dlnn1l5VlZW0prUAzK5E8Q+NNxyk23Q5IHpSmuPJfZQuqGDvELwRwPPXvbYlcz6RFcL\nJIV8uF0QfAxSSa8Jsbvq5fJNHJp6nc8RfBeoKyRLF4h55gdFDz53F3Z3dwHACpBTv9X5w8PD6tze\n3t7g0+EyuRuIn0LTnxYfwnEn9nnU2EMI9tCcafwp6GbFweb3GK9NN9fYaXqfpm6XL+HS+lV9Ph97\n18Qes48Any+tnn4gGn7S8ezZMwDA4uKidnxpaQlAEYi3s7ODs2fP4saNG9je3sb58+dx6dKlRvV1\nhRxQx8AXMGWibTDUOB4UHrMm9lmv3jZLzKRuo5HzsBXvWAK4gsQeWYabnP0d3dYM31uAnZx9DMjY\nYJI6h+Xl5SrYbizI5O5AyotvlsTR2SYyIdKOSdNkKtSIBzPzCHrvcffhPBD8rJEaFxFaRRBIi4DX\nzgfrbne+LVyDr0FJXwikbPn64598jB//p/8KAPjsv/8vLBpPqI4AAA7qSURBVJ5OE/yll14CoJvd\nAVRkPvR8dhcyuXcAccwWvumS2E8acXTVL5R0hx5ozrPmFjtH3XfeW74nQxOfukumpmm6wFisKzri\nJfred1/F9777KgAUJC/CmjjF6uoqbt26ZWnm+/v7AIrAujEi+9w9SHl4ZjVdrm90QezKZ37SiB0Y\n/iXY5IXfN0mMaTGgVFF8WrsAb4pv4lOn5Y+J2IGRPsdi0uzTAK+++ioWFxfx0UcfacefPn2Kc+fO\n4dvf/nYHDeoemdwDSHqIeg6Kio5ubkMxHRD7SQY7P3jmUuhoMz1vXrT2ruRM8X3bv2dD6kNcE3aF\nuqFv7J7ATYm7f/8+tra2qt+Hh4fY3NwcfC67D9ks3yGKkXx/q43FmmcFZGOCbzpl7Lg+6POIpr73\nxvV5Bg9Bn3HzaoNwRayH0rjSUsRaI9r61FPTpSJ2Df9xmeabR7678u3s7ODevXsQQuDhw4dYXFzU\nVpe7cuUKnj9/jrW1Nbz22mt48uQJHjx4MHhEvA+Z3COQGnQ0dGR2Hxj7PPY2GMNmLJ3CcQP20c62\nAWNd1BNNkC3Pe/P2tBDNmCwnoyL4jjtmeXk5uFTstWvXcO3atU7r7ROZ3CORFNQ0crLofK/4EY1k\n2q77Pg8IauFwt7PLezNE7CHtdtZPSFfuCc7HbqWPKCe2vrFgVNPiGvrPTxJyDyUg5caOXeAm9WGJ\n11LSX2TOtcCzOT4KfQ7ovOZj5liTldHS5JkdsTeRt9egtIZtG7NPPRbjeN5Fy8/JQNbcEzEGDX4s\nc5ObLl/a98trLP0zNEIaPEXKfTpv6+cD6a90cyU6V1ldbc/abJZD/HUYsyUxox/MpeZ+8+ZNLC0t\nYTKZ4OLFi9jb27PSxO692wQpPr7j+ki1Ic+TOk1OgW17y5cvm5uZpuXM71kaNbRsKkVoPXWnrB65\n/OfjjoVmskT3U2Q6LY/XitI/sTdJ78IoHtsicrnhZ2jhZ4e509zX19extLSEra0tPH36FDdv3sSF\nCxfw+eefY2FhAUD83ruzQIz23kTTVC8EXz5X1PwsNdvQrmNjNkG6wE8L4hsS282pl4O7r0xNXZR/\nBOK26zXLT0vffcBaE2Lvou7Y4L2YPgoRexcyzbKM8WAu9dKZYq56aH9/H9/5znfwwQcf4NKlS/jz\nP/9zbG5uAgA2NjaqdLF771L8cjpNkmXWD6bCT7/4TZIcKb73Lnn2yZe/ngvt/MmXvx5ahCB2p7yM\nKYFcSqPu8hory5Qqd2/6K2/apLJ7JKKnL37dy6AybQARTvPky19HWUuGRuq7sz2aau3H2ZZqY67I\n/ejoCD/4wQ+0Y1euXAFQr/PbZO9dAPil7O8GjbmdYs1zPzPIXeX118+QQKw5syGefGnLyaGvAYCr\nLebhn7+Ik7MJumqai9yBNIIv0tdEH2NCN8ul+cx7dk/+2kqf8jqNNf0XaWOltmH2Z58mebacoP+9\n6IPYZ2ho/FOP786M5pgrcn/11Ved5xSZx+692wX6Mgs2QZ+LXJwEzEo76mMw03RVNAWT7F2fPu/3\nrvqf39SloxX6EhvVZAA9di19PJg0/JwczJ3P3cTW1hbOnTuHt956C0Dc3rsc/s/0Bf7k8/+dXH/S\no9jBc/t30y/xsy9+21sVXZHP30+/7FUrbgvVzH+gcsZu+tJFxQll/k/5Jfa+CLsPhnaD/CO+xF6C\nm2NW8RZmNf8gv8Dub+PuTaeIkVHybfAP0y9Hqb3T6/bfvvxnfGOGc85/8pOfAAC+96/XAyld+Xfx\n3e9+t0uRRou5J/cPP/yw8rsDcXvvmvjxj3+Ml19+Gf/45ZdaOU3K6ht/cHiI3x2hXCb+5eEh/sWc\nyPn7I5dzeniIb45cRgCQh4dYmAM5/9XhIb4xB3L+wUifocPDw2r70yUAf/ZnfzaAFN9olOu73/0u\n/uRP/qRjWcaJwcj9/v37Gin7sLm5WUXCU9y8eRPvv/8+XnnllepY0713P/300yhZMjIyMjKGAbep\nSwYPIee0tzY2NvCtb32rMscr7O3t4cKFC3j8+LG2qP/GxgZu3LiB/f390W7Rl5GRkZGR0QXmMsJg\na2sLQgiL2A8ODuZ2792MjOOEg4ODoUU4tsh9mxGDuSP3x48f4969e9VCNupz48aNyiQ/j3vvZmSY\n6HOVxS6xv7+PyWSifba3tweXaX193dlnY+nbkJxj6duhVwXNSMdcmeV3d3dx8eJFCCEs38vq6ir+\n9m//tvp9//59PHr0qNp79/vf/76l6Z8UHBwc4MyZM0OLMZcYqu/GtMpiCDdu3MDFixe1Y+++++5A\n0hR7c9+9exfb29vY2tqynvux9G1ITmAcfatWBV1dXa1WBQUw2lVBM0rIDPnee+/J06dPSyGEvHDh\ngtzd3bXSbG5uyqtXr8rbt2/Lq1evysePHw8gqZTPnj2T169fd9b/7NkzKYTQPnfu3JmxlGE5x9Kf\nFGPpOymlXFxclLdu3dKOra+vywsXLgwijwuff/65vHr16tBiWNjd3ZVCCLm9vW2dG1Pf+uQcQ98+\ne/bMega2trakEELevn27OjamPs0oMPdT4dpintaqpyP9N998k01z+/ZtbSleYPYj/ZCcY+lPE2Po\nO8C/yuLGxgY+++yz0cSOfPDBB9ja2sLS0hLW1tawvr7uXWxqVpAOg+TY+tYlJzCOvm27KujY7tcT\nhaFHF0NiHkelYx/pK8yL5qQwpr770Y9+JIUQcm9vTzv+6NEjZ58Oha2tLbm+vi5ffvnlytqxsbEx\ntFjy6dOnbF+NrW9dcko53r6VUmoyj61PMwrMXUBdl+hzrfq+ICNH+jdu3GCDXmYFl5xj60+FMfVd\n01UWh8CVK1dw9+5dfPLJJ3j06BEWFxexvr4+2oju3Lft0dWqoBn94kST+9jWqm+L119/HdevX8dL\nL72EjY0NXLhwAffv3x9aLA1j7c8x9d0YV0aMwfLyMp4+fQoAo52Zkvu2PbpYFTSjf5xocucwz6PS\nsY70Kcban2Pqu6arLI4BZ86cwcrKCo6OjoYWhUXu23boclXQjH6Ryd3AcRmVjmmkTzEP/Tl0362u\nrgKoX44KauBz/vz5mcuUgoWFhdFe59y3zbGxsYE33njDmrI37316XHFsouXHtlZ9n3LGos1Ivy85\n+x7ldyX3kFoSXWWRLqE8L6ss7u3t4Yc//OHQYrDIfdsMsauCzmOfHlsMHdE3Fty7d4+N6lRR3zs7\nO1Z6IYQ8ODiYkYQFfNG1HN5++20rMn0WcMk5tv70Yai+k7KIlD537lz1+/PPP5enT5+2+m1IPH36\nVK6srGhrFNy7d2+wPqNQ99/W1pZ1bkx965JzTH376NEjubKyIre2tuTm5mb1WV9fl0dHR1LKcfVp\nRoFjo7m3wXEelY5Ni5qn/hyy765cuYLnz59jbW2tWmXxwYMHWp8NjdOnT+Pg4ACrq6tYWVnB+fPn\ncfnyZVy/fn1QuXZ2dnDv3j0IIfDw4UMsLi5q6yeMpW99co6lb3d3d3H58mUIIazlZFdXV/HNb34T\nwHj6NINg6NHF0Ji3Uek8jPSVPPOgOUk5vr7LyMjIaIsTrbnP26h0Hkb6ITmB8fSnwpj6LiMjI6ML\nzNXGMRkZGRkZGRlh5KlwGRkZGRkZxwyZ3DMyMjIyMo4ZMrlnZGRkZGQcM2Ryz8jIyMjIOGbI5J6R\nkZGRkXHMkMk9IyMjIyPjmCGTe0bGiHD58uWhRcjIyDgGyOSekTES7O7u4sKFCwCA7e1trK+v4+WX\nXx5YqoyMjHlEJveMjJFgY2MD6+vrAOpV/IbYTz4jI2P+kck9I2Mk2N/f1zbOOXv2LPICkhkZGU2Q\nyT0jYwTY2trK/vaMjIzOkMk9I6MH7Ozs4OrVq1haWsIvf/lLHB4eYnV11elDf/jwYXCjmtu3b2Np\naQl/+Zd/iYODA+zt7eHmzZu4fPkydnZ2cO7cOUwmE1y+fNky59++fRu3bt3CrVu3cPHiRWujpIyM\njOOFE70rXEZGX1heXsbFixdx+vRpPHr0CE+ePMH29jb29/ettIeHhzg8PKx2IeRweHiI/f19fPbZ\nZ1W6g4MDPH78GHt7e1hbW8Pe3h6ePHmC1dVVrK6u4tNPPwUAXL16FW+++Sbee+89AMDa2hpWV1cx\nnU57aHlGRsYYkHeFy8joEUpTf/z4seZPp9jY2MC3vvUtvPXWW9rxmzdv4s6dO/j0009x+/Zt3L17\n18p79epVfPzxx/jkk0+qY3fu3MHNmzexu7uL6XSKlZUVPH/+vDp/cHCAnZ0dvPvuux20MCMjY4zI\nZvmMjB6xvLyMxcVFJ7EDhb/dJHaKixcveuswx+fLy8sAgGfPnuHx48dYWlrSzp85cyYTe0bGMUcm\n94yMHrG/v4/d3V3v+cXFRW8ZDx48wMbGBu7fv8+eF0Jov1V5p0+fxi9+8QvWFZCRkXG8kck9I6Mn\n3L9/H7du3QIA7O3tsWm2trZw48YNZxlCCLz11lu4fv061tfX2XJMzX13dxdCCFy6dAmvv/56JYuZ\nJs+hz8g4vsgBdRkZHeLo6AhPnjzBSy+9hHPnzuHSpUs4e/Ys/vqv/xr7+/tYWVnBwsJClf7hw4dV\noBsHRdx3797Fz3/+cywvL+Pg4EArg/rTgcKH/6Mf/QhAsRjO2bNnsb6+jmfPnmFlZQX7+/vY39/H\nhx9+2GXTMzIyRoSsuWdkdIhHjx7h8uXLePr0KS5dugQAePvtt3Hnzh2cPn1aI+Xd3V289tprbDk7\nOzvY3t6GEAIPHjzA0dER3nnnHRweHuLChQv4m7/5Gy39jRs3cOPGDaytrWFtbQ0/+MEPNJlWVlZw\n+/ZtrK2t4eDgIBN7RsYxR46Wz8gYCOvr6/jTP/1TvPLKK43L4KLlMzIyMrLmnpExEJ4+fdqK2DMy\nMjJcyOSekTEAHj9+jO9///udlJWNbxkZGSYyuWdkDICNjQ28/fbbrcrY2trCzs4ODg4O8ODBgxz9\nnpGRUSH73DMyBsDa2hoePnw4tBgZGRnHFJncMzIyMjIyjhmyWT4jIyMjI+OYIZN7RkZGRkbGMUMm\n94yMjIyMjGOGTO4ZGRkZGRnHDJncMzIyMjIyjhkyuWdkZGRkZBwz/H9jE+4lLO8VOQAAAABJRU5E\nrkJggg==\n", "text": [ "" ] } ], "prompt_number": 25 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Profiles" ] }, { "cell_type": "code", "collapsed": false, "input": [ "p = pynbody.analysis.profile.Profile(h1,max='200 kpc',min='.1 kpc',type='log',nbins=100)\n", "ps = pynbody.analysis.profile.Profile(h1.s,max='50 kpc',nbins=50)\n", "pg = pynbody.analysis.profile.Profile(h1.g,max='50 kpc',nbins=50)\n", "plot(p['rbins'], p['density'], label = 'all')\n", "plot(ps['rbins'], ps['density'], label = 'stars')\n", "plot(pg['rbins'], pg['density'], label = 'gas')\n", "semilogy()\n", "xlim(0,50)\n", "legend()\n", "xlabel('$R$ [kpc]')\n", "ylabel('$\\Sigma$ [M$_{\\odot}$ kpc$^{-2}$]')" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Profile: density()\n", "Profile: mass()\n", "Profile: density()" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "Profile: mass()\n", "Profile: density()" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "Profile: mass()\n" ] }, { "metadata": {}, "output_type": "pyout", "prompt_number": 26, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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d9PR01v4eCmJjY0lPTyc9PZ27774bPz8/D/8kdWkRSCPO/cO5nHfyeSz9eCk3h99MFx/z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\nZ3fe+tlgMKC8vBwJCQnIzc1FcXExcnNzb7h23lgWVSbnqqiocHYRaAx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"text": [ "" ] } ], "prompt_number": 26 }, { "cell_type": "markdown", "metadata": {}, "source": [ "The `Profile` class has lots of built-in functionality... including calculating a rotation curve:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "plot(p['rbins'], p['v_circ'], label = 'all')\n", "plot(ps['rbins'], ps['v_circ'], label = 'stars')\n", "plot(pg['rbins'], pg['v_circ'], label = 'gas')\n", "xlim(0,50)\n", "xlabel('$R$ [kpc]')\n", "ylabel('$V_{circ}$')\n", "legend()" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Profile: v_circ() -- warning, disk must be in the x-y plane\n", "Rotation curve calculated in 4.13 s" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "Profile: v_circ() -- warning, disk must be in the x-y plane\n", "Rotation curve calculated in 1.33 s" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "Profile: v_circ() -- warning, disk must be in the x-y plane\n", "Rotation curve calculated in 0.45 s" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n" ] }, { "output_type": "stream", "stream": "stderr", "text": [ "/Users/rokstar/python/pynbody/gravity/calc.py:105: RuntimeWarning: OpenMP gravity nt able to load -- using single cpu\n", " warnings.warn(\"OpenMP gravity nt able to load -- using single cpu\", RuntimeWarning)\n" ] }, { "metadata": {}, "output_type": "pyout", "prompt_number": 27, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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aNIh7770XgHHjxhESEkJ8fDxpaWnMnGm6Pl0uF0VFReVCXUWJiYkkJyeXPPb3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\nAUB9fT1cLheCwSC8Xi+OHDkCAHC73XC5XBgeHkZ9ff2yry0vL8exY8f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"text": [ "" ] } ], "prompt_number": 27 }, { "cell_type": "markdown", "metadata": {}, "source": [ "`Profile` can use *any* loaded (or loadable/derivable!) array: " ] }, { "cell_type": "code", "collapsed": false, "input": [ "plot(ps['rbins'],ps['age'])\n", "xlabel('$R$ [kpc]')\n", "ylabel('Age [Gyr]')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 28, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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3991aj4SIjK6srAxlZWUAgLq6Or9XRnUX/JKSkmA2m1FUVIQpU6a0319RUYH4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\nnHPUGxsRERF5j8GPujV1KnDFFcD99wO/+Q1w/Lh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"text": [ "" ] } ], "prompt_number": 28 }, { "cell_type": "markdown", "metadata": {}, "source": [ "By default, `Profile` calculates the means of quantities, but it trivially calculate derivatives and root-mean-square values as well: " ] }, { "cell_type": "code", "collapsed": false, "input": [ "plot(ps['rbins'],ps['d_v_circ'])\n", "xlabel('$R$ [kpc]')\n", "ylabel('d$v_{c}$/d$R$')" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Profile: d_v_circ/dR\n" ] }, { "metadata": {}, "output_type": "pyout", "prompt_number": 29, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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PAAA4g2OCnyRtbm7q+vXr6unp0dzcnGZnZ8vH/H7/Iz9bKBQaUpPfL/0icwIAANiaY57q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\n9m0NDQ1penpayWRSkpRIJMr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"text": [ "" ] } ], "prompt_number": 29 }, { "cell_type": "code", "collapsed": false, "input": [ "plot(ps['rbins'],ps['vr_rms'])\n", "xlabel('R [kpc]')\n", "ylabel('$v_{rms}$')" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Profile: auto-deriving vr_rms\n" ] }, { "metadata": {}, "output_type": "pyout", "prompt_number": 30, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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i5CWJr3xFOuggWvMi6aabbEmQxYstDLz5pv3Bj7RNm6RTTrExlU1N1jU8kPnz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\n9NBb8jZssFm848aF/5p9mTxZKiy0Ltt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"text": [ "" ] } ], "prompt_number": 30 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Filters" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You can define filters to easily select particles based on their quantities. For example, to get stars that are 1-2 Gyr old:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "agefilt = pynbody.filt.BandPass('age', '1 Gyr','2 Gyr')\n", "agefilt" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 31, "text": [ "BandPass('age', 'Gyr', '2.00e+00 Gyr')" ] } ], "prompt_number": 31 }, { "cell_type": "code", "collapsed": false, "input": [ "sphere = pynbody.filt.Sphere('50 kpc')\n", "h1[sphere].s" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 32, "text": [ "" ] } ], "prompt_number": 32 }, { "cell_type": "code", "collapsed": false, "input": [ "h1.s[sphere]['mass'].sum().in_units('1e12 Msol')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 33, "text": [ "SimArray(0.10313311567845437, '1.00e+12 Msol')" ] } ], "prompt_number": 33 }, { "cell_type": "markdown", "metadata": {}, "source": [ "you can combine filters by using simple logic operators -- so to get the total mass of all 1-2 Gyr old stars within 50 kpc, you can do" ] }, { "cell_type": "code", "collapsed": false, "input": [ "h1.s[sphere&agefilt]['mass'].sum().in_units('1e12 Msol')\n" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 34, "text": [ "SimArray(0.0023178475592408767, '1.00e+12 Msol')" ] } ], "prompt_number": 34 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Units" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You've noticed by now that we've been asking for things in various kinds of units. `Pynbody` has a unit-handling system built in that automatically ensures that arrays in different units are compatible and performs the necessary conversions for calculations. Adding mass and position together makes no sense, and pynbody knows this: " ] }, { "cell_type": "code", "collapsed": false, "input": [ "s['mass'] + s['x']" ], "language": "python", "metadata": {}, "outputs": [ { "ename": "ValueError", "evalue": "Incompatible physical dimensions 'Msol' and 'kpc', context \"{'a': 0.9999999999999911, 'h': 0.7301145776501103}\"", "output_type": "pyerr", "traceback": [ "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m\n\u001b[0;31mValueError\u001b[0m Traceback (most recent call last)", "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m()\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0ms\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m'mass'\u001b[0m\u001b[0;34m]\u001b[0m \u001b[0;34m+\u001b[0m \u001b[0ms\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m'x'\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m", "\u001b[0;32m/Users/rokstar/python/pynbody/array.pyc\u001b[0m in \u001b[0;36m__add__\u001b[0;34m(self, x)\u001b[0m\n\u001b[1;32m 421\u001b[0m \u001b[0;32mreturn\u001b[0m \u001b[0mx\u001b[0m\u001b[0;34m+\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 422\u001b[0m \u001b[0;32melse\u001b[0m \u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 423\u001b[0;31m \u001b[0;32mreturn\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_generic_add\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mx\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 424\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 425\u001b[0m \u001b[0;32mdef\u001b[0m \u001b[0m__sub__\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mx\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", "\u001b[0;32m/Users/rokstar/python/pynbody/array.pyc\u001b[0m in \u001b[0;36m_generic_add\u001b[0;34m(self, x, add_op)\u001b[0m\n\u001b[1;32m 393\u001b[0m **context)\n\u001b[1;32m 394\u001b[0m \u001b[0;32mexcept\u001b[0m \u001b[0munits\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mUnitsException\u001b[0m \u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 395\u001b[0;31m \u001b[0;32mraise\u001b[0m \u001b[0mValueError\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m\"Incompatible physical dimensions %r and %r, context %r\"\u001b[0m\u001b[0;34m%\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mstr\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0munits\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mstr\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mx\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0munits\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mstr\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mconversion_context\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 396\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 397\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n", "\u001b[0;31mValueError\u001b[0m: Incompatible physical dimensions 'Msol' and 'kpc', context \"{'a': 0.9999999999999911, 'h': 0.7301145776501103}\"" ] } ], "prompt_number": 35 }, { "cell_type": "markdown", "metadata": {}, "source": [ "but, it handles this just fine and returns an array with the right units: " ] }, { "cell_type": "code", "collapsed": false, "input": [ "s['mass']*s['x']" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 36, "text": [ "SimArray([ -1.11405446e+09, -1.04208223e+09, -1.01781848e+09, ...,\n", " -1.34612686e+06, 1.56832943e+04, 4.33084960e+06], 'Msol kpc')" ] } ], "prompt_number": 36 }, { "cell_type": "markdown", "metadata": {}, "source": [ "This concludes the basic overview of what ``pynbody`` can do -- for more tutorials and in-depth explanation of the inner-workings of the framework, head over to the [walkthroughs](http://pynbody.github.io/pynbody/tutorials/tutorials.html#walkthroughs) and [cookbook examples](http://pynbody.github.io/pynbody/tutorials/tutorials.html#cookbook-recipes). If you're stuck implementing a particular analysis workflow, stop by our [Github issues](https://github.com/pynbody/pynbody/issues) and post your question, we'll be happy to help. " ] } ], "metadata": {} } ] }