{ "metadata": { "name": "", "signature": "sha256:78a1aef1cd064e01ae93ba7b4d58c847dd628b243857dd6e91721b3f5d90ae80" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "Pynbody Demo for Ramses simulation outputs" ] }, { "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. It doesn't assume any python knowledge, though familiarity with basic concepts of the language will certainly help. \n", "\n", "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 point the `load` function below to whatever output you wish to use. \n", "\n", "In what follows, we demonstrate the usage of pynbody with Ramses simulation outputs. Support for this particular format is still under active development and although it is becoming increasingly robust, you may encounter strange behavior. " ] }, { "cell_type": "code", "collapsed": true, "input": [ "rcParams['figure.figsize'] = (10,6)\n", "rcParams['font.size'] = 18" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 1 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Data loading and 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.\n", "\n", "Note that the `pynbody.ramses.multiprocess_num` and `pynbody.config['number_of_threads']` define how many threads the Ramses reader and the pynbody routines should use. Change these to match your system. " ] }, { "cell_type": "code", "collapsed": false, "input": [ "import pynbody\n", "pynbody.ramses.multiprocess_num = 16\n", "pynbody.config['number_of_threads'] = 16\n", "s = pynbody.load('/zbox/data/roskar/cosmo/AMR/rad_fbk/std/output_00101')" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stderr", "text": [ "Loading using backend \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": [ "23196808" ] } ], "prompt_number": 4 }, { "cell_type": "code", "collapsed": false, "input": [ "len(s.stars)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 5, "text": [ "1243472" ] } ], "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)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 6, "text": [ "(14817745, 14817745)" ] } ], "prompt_number": 6 }, { "cell_type": "markdown", "metadata": {}, "source": [ "The `properties` attribute of a `SimSnap` is a dictionary that tells us some more basic info about the simulation:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "s.properties" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 7, "text": [ "{'a': 1.00001844594404,\n", " 'boxsize': Unit(\"6.16e+26 cm\"),\n", " 'h': 0.7040000152587891,\n", " 'omegaL0': 0.727999985218048,\n", " 'omegaM0': 0.272000014781952,\n", " 'time': Unit(\"1.38e+01 Gyr\")}" ] } ], "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": [ "13.760107374692666" ] } ], "prompt_number": 8 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Accessing data" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "So far, we have only opened the simulation and read its metadata -- none of the actual cell or particle data has been read off the disk. To access any of these arrays or vectors, you access them like a python dictionary: " ] }, { "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... we need to try to access an array to read the data off the disk:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "s['pos']" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stderr", "text": [ "RamsesSnap: loading hydro files 135791113151719212325273129/home/ics/roskar/python/pynbody/ramses.py:258: RuntimeWarning: More hydro variables (8) are in this RAMSES dump than are defined in config.ini (6)\n", " warnings.warn(\"More hydro variables (%d) are in this RAMSES dump than are defined in config.ini (%d)\"%(nvar_file,nvar), RuntimeWarning)\n", "/home/ics/roskar/python/pynbody/ramses.py:258: RuntimeWarning: More hydro variables (8) are in this RAMSES dump than are defined in config.ini (6)\n", " warnings.warn(\"More hydro variables (%d) are in this RAMSES dump than are defined in config.ini (%d)\"%(nvar_file,nvar), RuntimeWarning)\n", "/home/ics/roskar/python/pynbody/ramses.py:258: RuntimeWarning: More hydro variables (8) are in this RAMSES dump than are defined in config.ini (6)\n", " warnings.warn(\"More hydro variables (%d) are in this RAMSES dump than are defined in config.ini (%d)\"%(nvar_file,nvar), RuntimeWarning)\n", "/home/ics/roskar/python/pynbody/ramses.py:258: RuntimeWarning: More hydro variables (8) are in this RAMSES dump than are defined in config.ini (6)\n", " warnings.warn(\"More hydro variables (%d) are in this RAMSES dump than are defined in config.ini (%d)\"%(nvar_file,nvar), RuntimeWarning)\n", "/home/ics/roskar/python/pynbody/ramses.py:258: RuntimeWarning: More hydro variables (8) are in this RAMSES dump than are defined in config.ini (6)\n", " warnings.warn(\"More hydro variables (%d) are in this RAMSES dump than are defined in config.ini (%d)\"%(nvar_file,nvar), RuntimeWarning)\n", "/home/ics/roskar/python/pynbody/ramses.py:258: RuntimeWarning: More hydro variables (8) are in this RAMSES dump than are defined in config.ini (6)\n", " warnings.warn(\"More hydro variables (%d) are in this RAMSES dump than are defined in config.ini (%d)\"%(nvar_file,nvar), RuntimeWarning)\n", "/home/ics/roskar/python/pynbody/ramses.py:258: RuntimeWarning: More hydro variables (8) are in this RAMSES dump than are defined in config.ini (6)\n", " warnings.warn(\"More hydro variables (%d) are in this RAMSES dump than are defined in config.ini (%d)\"%(nvar_file,nvar), RuntimeWarning)\n", "/home/ics/roskar/python/pynbody/ramses.py:258: RuntimeWarning: More hydro variables (8) are in this RAMSES dump than are defined in config.ini (6)\n", " warnings.warn(\"More hydro variables (%d) are in this RAMSES dump than are defined in config.ini (%d)\"%(nvar_file,nvar), RuntimeWarning)\n", "/home/ics/roskar/python/pynbody/ramses.py:258: RuntimeWarning: More hydro variables (8) are in this RAMSES dump than are defined in config.ini (6)\n", " warnings.warn(\"More hydro variables (%d) are in this RAMSES dump than are defined in config.ini (%d)\"%(nvar_file,nvar), RuntimeWarning)\n", "/home/ics/roskar/python/pynbody/ramses.py:258: RuntimeWarning: More hydro variables (8) are in this RAMSES dump than are defined in config.ini (6)\n", " warnings.warn(\"More hydro variables (%d) are in this RAMSES dump than are defined in config.ini (%d)\"%(nvar_file,nvar), RuntimeWarning)\n", "/home/ics/roskar/python/pynbody/ramses.py:258: RuntimeWarning: More hydro variables (8) are in this RAMSES dump than are defined in config.ini (6)\n", " warnings.warn(\"More hydro variables (%d) are in this RAMSES dump than are defined in config.ini (%d)\"%(nvar_file,nvar), RuntimeWarning)\n", "/home/ics/roskar/python/pynbody/ramses.py:258: RuntimeWarning: More hydro variables (8) are in this RAMSES dump than are defined in config.ini (6)\n", " warnings.warn(\"More hydro variables (%d) are in this RAMSES dump than are defined in config.ini (%d)\"%(nvar_file,nvar), RuntimeWarning)\n", "/home/ics/roskar/python/pynbody/ramses.py:258: RuntimeWarning: More hydro variables (8) are in this RAMSES dump than are defined in config.ini (6)\n", " warnings.warn(\"More hydro variables (%d) are in this RAMSES dump than are defined in config.ini (%d)\"%(nvar_file,nvar), RuntimeWarning)\n", "/home/ics/roskar/python/pynbody/ramses.py:258: RuntimeWarning: More hydro variables (8) are in this RAMSES dump than are defined in config.ini (6)\n", " warnings.warn(\"More hydro variables (%d) are in this RAMSES dump than are defined in config.ini (%d)\"%(nvar_file,nvar), RuntimeWarning)\n", "/home/ics/roskar/python/pynbody/ramses.py:258: RuntimeWarning: More hydro variables (8) are in this RAMSES dump than are defined in config.ini (6)\n", " warnings.warn(\"More hydro variables (%d) are in this RAMSES dump than are defined in config.ini (%d)\"%(nvar_file,nvar), RuntimeWarning)\n", "/home/ics/roskar/python/pynbody/ramses.py:258: RuntimeWarning: More hydro variables (8) are in this RAMSES dump than are defined in config.ini (6)\n", " warnings.warn(\"More hydro variables (%d) are in this RAMSES dump than are defined in config.ini (%d)\"%(nvar_file,nvar), RuntimeWarning)\n", " 2468101214161820222426283230 61 63 37 57 41 39 43 33 35 45 47 53 51 49 55 59 62 64 38 58 42 40 44 34 36 46 48 54 52 50 56 60 91 95 69 93 87 85 75 65 67 79 77 83 81 73 71 89 92 96 70 94 88 86 76 66 68 80 78 84 82 74 72 90 125 127 103 121 113 117 111 97 99 107 115 105 119 109 101 123 126 128 104 122 114 118 112 98 100 108 116 106 120 110 102 124" ] }, { "output_type": "stream", "stream": "stderr", "text": [ "done\n" ] }, { "metadata": {}, "output_type": "pyout", "prompt_number": 10, "text": [ "SimArray([[ 0.01651346, 0.02221355, 0.05327416],\n", " [ 0.16698388, 0.01523324, 0.05411253],\n", " [ 0.06062804, 0.05369276, 0.12354728],\n", " ..., \n", " [ 0.50014782, 0.4998312 , 0.49989605],\n", " [ 0.50015163, 0.49983883, 0.49989605],\n", " [ 0.50015163, 0.4998312 , 0.49989605]], '6.16e+26 cm')" ] } ], "prompt_number": 10 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that each array is type `SimArray` (an extended `numpy` array) and has units attached." ] }, { "cell_type": "code", "collapsed": false, "input": [ "s.keys()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 11, "text": [ "['pos', 'vx', 'vy', 'y', 'x', 'vel', 'z', 'vz']" ] } ], "prompt_number": 11 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that not all particle families have the same arrays:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "s.s.keys(), s.g.keys()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 12, "text": [ "(['pos', 'vx', 'vy', 'y', 'x', 'vel', 'z', 'vz'],\n", " ['p',\n", " 'metal',\n", " 'smooth',\n", " 'pos',\n", " 'vx',\n", " 'rho',\n", " 'vy',\n", " 'y',\n", " 'x',\n", " 'vel',\n", " 'z',\n", " 'vz'])" ] } ], "prompt_number": 12 }, { "cell_type": "code", "collapsed": false, "input": [ "s['mass'], s['vel']" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 13, "text": [ "(SimArray([ 3.97948659e-07, 3.97948659e-07, 3.97948659e-07, ...,\n", " 9.86356141e-18, 9.22962765e-18, 9.46693561e-18], '5.92e+50 g'),\n", " SimArray([[ 0.00728201, -0.02102769, 0.02122281],\n", " [-0.00035387, -0.02282961, 0.02129209],\n", " [ 0.0017414 , -0.01511998, 0.00469109],\n", " ..., \n", " [-0.01208301, -0.00138862, -0.00770179],\n", " [-0.01208318, -0.00153632, -0.00770602],\n", " [-0.01216255, -0.0014085 , -0.00769588]], '1.41e+09 cm s**-1'))" ] } ], "prompt_number": 13 }, { "cell_type": "markdown", "metadata": {}, "source": [ "By default everything is in system units, but you can request an array in different units:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "s['mass'].in_units('m_p'), s['vel'].in_units('Mpc yr^-1')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 14, "text": [ "(SimArray([ 1.40943029e+68, 1.40943029e+68, 1.40943029e+68, ...,\n", " 3.49341602e+57, 3.26889323e+57, 3.35294151e+57], 'm_p'),\n", " SimArray([[ 1.04855120e-10, -3.02781894e-10, 3.05591523e-10],\n", " [ -5.09548653e-12, -3.28728237e-10, 3.06589151e-10],\n", " [ 2.50748181e-11, -2.17715615e-10, 6.75479899e-11],\n", " ..., \n", " [ -1.73985636e-10, -1.99949828e-11, -1.10899682e-10],\n", " [ -1.73988205e-10, -2.21217356e-11, -1.10960552e-10],\n", " [ -1.75131069e-10, -2.02813170e-11, -1.10814482e-10]], 'Mpc yr**-1'))" ] } ], "prompt_number": 14 }, { "cell_type": "markdown", "metadata": {}, "source": [ "`in_units` produces a \"view\" of the array in the desired units, but the data is not altered in memory. You can permanently alter it with " ] }, { "cell_type": "code", "collapsed": false, "input": [ "s['mass'].convert_units('m_p')\n", "s['mass']" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 15, "text": [ "SimArray([ 1.40943029e+68, 1.40943029e+68, 1.40943029e+68, ...,\n", " 3.49341602e+57, 3.26889323e+57, 3.35294151e+57], 'm_p')" ] } ], "prompt_number": 15 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Or you can ask for everything to be converted to \"physical\" units (there is a similar convenience function to convert back to original units also):" ] }, { "cell_type": "code", "collapsed": false, "input": [ "s.physical_units()" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stderr", "text": [ "SimSnap: converting pos units from 6.16e+26 cm to kpc\n", "SimSnap: converting" ] }, { "output_type": "stream", "stream": "stderr", "text": [ " vel units from 1.41e+09 cm s**-1 to km s**-1\n", "SimSnap: converting" ] }, { "output_type": "stream", "stream": "stderr", "text": [ " mass units from m_p to Msol\n", "SimSnap: converting" ] }, { "output_type": "stream", "stream": "stderr", "text": [ " p units from 5.02e-12 g cm**-1 s**-2 to km**2 Msol s**-2 kpc**-3\n", "SimSnap: converting smooth units from 6.16e+26 cm to kpc\n", "SimSnap: converting" ] }, { "output_type": "stream", "stream": "stderr", "text": [ " rho units from 2.53e-30 g cm**-3 to Msol kpc**-3\n" ] } ], "prompt_number": 16 }, { "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": [ { "output_type": "stream", "stream": "stderr", "text": [ "SimSnap: deriving array vt\n", "SimSnap: deriving array v2\n", "SimSnap: deriving array" ] }, { "output_type": "stream", "stream": "stderr", "text": [ " vr\n", "SimSnap: deriving array" ] }, { "output_type": "stream", "stream": "stderr", "text": [ " r\n" ] }, { "metadata": {}, "output_type": "pyout", "prompt_number": 17, "text": [ "(SimArray([ 392.0037547 , 435.51170488, 223.91531001, ..., 107.00691314,\n", " 105.46517315, 107.53279984], 'km s**-1'),\n", " SimArray([ 183.81436575, 59.55845491, -12.07430806, ..., -172.14401735,\n", " -173.37977902, -172.9047343 ], 'km s**-1'))" ] } ], "prompt_number": 17 }, { "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": 18, "text": [ "['tform',\n", " 'mass',\n", " 'temp',\n", " 'r_mag',\n", " 'i_mag',\n", " 'K_lum_den',\n", " 'v_mean',\n", " 'U_lum_den',\n", " 'vcxy',\n", " 'j2']" ] } ], "prompt_number": 18 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Defining your own derivable quantity requires a single decorator line and can be done inside any module that you import into your python session:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "@pynbody.ramses.RamsesSnap.derived_quantity\n", "def my_quantity(self) : \n", " return self['x']*self['y']" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 19 }, { "cell_type": "code", "collapsed": false, "input": [ "s['my_quantity']" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stderr", "text": [ "SimSnap: deriving array my_quantity\n" ] }, { "metadata": {}, "output_type": "pyout", "prompt_number": 20, "text": [ "SimArray([ 1.46194737e+07, 1.01377668e+08, 1.29737299e+08, ...,\n", " 9.96316553e+09, 9.96339360e+09, 9.96324152e+09], 'kpc**2')" ] } ], "prompt_number": 20 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Centering and aligning halos" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The first thing you probably do after running a cosmological simulation is to run it through a halo finder like hop to get halo information. A few helper functions are defined in `pynbody.analysis.ramses_util` to load the halo data from a hop output and center the snapshot. Note that if hop data is not found, it will be automatically generated. Of course, if you are running this on your own machine, both hop and the script need to be in your path, or you must generate the data independently." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Hop output is in system units, so we need to convert back before centering:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "s.original_units()\n", "pynbody.analysis.ramses_util.hop_center(s)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stderr", "text": [ "SimSnap: converting my_quantity units from kpc**2 to 3.79e+53 cm**2\n", "SimSnap: converting vt units from km s**-1 to 1.41e+09 cm s**-1\n", "SimSnap: converting" ] }, { "output_type": "stream", "stream": "stderr", "text": [ " pos units from kpc to 6.16e+26 cm\n", "SimSnap: converting" ] }, { "output_type": "stream", "stream": "stderr", "text": [ " vr units from km s**-1 to 1.41e+09 cm s**-1\n", "SimSnap: converting vel units from km s**-1 to 1.41e+09 cm s**-1\n", "SimSnap: converting" ] }, { "output_type": "stream", "stream": "stderr", "text": [ " v2 units from km**2 s**-2 to 1.98e+18 cm**2 s**-2\n", "SimSnap: converting r units from kpc to 6.16e+26 cm\n", "SimSnap: converting" ] }, { "output_type": "stream", "stream": "stderr", "text": [ " mass units from Msol to 5.92e+50 g\n", "SimSnap: converting pos units from 6.16e+26 cm to 6.16e+26 cm\n", "SimSnap: converting" ] }, { "output_type": "stream", "stream": "stderr", "text": [ " pos units from 6.16e+26 cm to 6.16e+26 cm\n", "SimSnap: converting" ] }, { "output_type": "stream", "stream": "stderr", "text": [ " pos units from 6.16e+26 cm to 6.16e+26 cm\n", "SimSnap: converting" ] }, { "output_type": "stream", "stream": "stderr", "text": [ " p units from km**2 Msol s**-2 kpc**-3 to 5.02e-12 g cm**-1 s**-2\n", "SimSnap: converting smooth units from kpc to 6.16e+26 cm\n", "SimSnap: converting rho units from Msol kpc**-3 to 2.53e-30 g cm**-3\n" ] } ], "prompt_number": 21 }, { "cell_type": "markdown", "metadata": {}, "source": [ "We've recentered the simulation on the most massive halo according to hop, but this usually isn't particularly accurate so we can redo the centering using a \"shrinking sphere\" method:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "pynbody.analysis.halo.center(s[pynbody.filt.Sphere('100 kpc')],mode='ssc')" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Finding halo velocity center...\n", "vcen=" ] }, { "output_type": "stream", "stream": "stdout", "text": [ " [ 0.00016491 -0.00013521 -0.00032374]\n" ] } ], "prompt_number": 22 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Rendering images" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Lets look at the dark matter distribution of a part of the whole simulation box. Note that we can specify the desired units here as well -- by specifying a unit of surface density, we tell pynbody to render a projection:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "s.physical_units();\n", "pynbody.plot.image(s.d,width='100 Mpc', units='Msol kpc^-2', cmap=cm.Greys)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stderr", "text": [ "SimSnap: converting my_quantity units from 3.79e+53 cm**2 to kpc**2\n", "SimSnap: converting pos units from 6.16e+26 cm to kpc\n", "SimSnap: converting" ] }, { "output_type": "stream", "stream": "stderr", "text": [ " vel units from 1.41e+09 cm s**-1 to km s**-1\n", "SimSnap: converting" ] }, { "output_type": "stream", "stream": "stderr", "text": [ " mass units from 5.92e+50 g to Msol\n", "SimSnap: converting" ] }, { "output_type": "stream", "stream": "stderr", "text": [ " p units from 5.02e-12 g cm**-1 s**-2 to km**2 Msol s**-2 kpc**-3\n", "SimSnap: converting smooth units from 6.16e+26 cm to kpc\n", "SimSnap: converting rho units from 2.53e-30 g cm**-3 to Msol kpc**-3\n", "SimSnap: deriving array" ] }, { "output_type": "stream", "stream": "stderr", "text": [ " rho\n", "Building 16 trees with leafsize=16" ] }, { "output_type": "stream", "stream": "stderr", "text": [ "\n", "Tree build done in 5.25 s" ] }, { "output_type": "stream", "stream": "stderr", "text": [ "\n", "Calculating SPH density\n", "SimSnap: deriving array smooth\n", "Smoothing with 32 nearest neighbours" ] }, { "output_type": "stream", "stream": "stderr", "text": [ "\n", "Smoothing done in 3.92s" ] }, { "output_type": "stream", "stream": "stderr", "text": [ "\n", "Density calculation done in 1.91 s" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "Rendering image on 16 threads...\n" ] }, { "output_type": "stream", "stream": "stderr", "text": [ "\n" ] }, { "metadata": {}, "output_type": "pyout", "prompt_number": 23, "text": [ "SimArray([[ 3823456.75, 3902639.5 , 3981821.25, ..., 2355582. ,\n", " 2325772. , 2295961.75],\n", " [ 3835513.5 , 3908890. , 3982266.25, ..., 2397100.25,\n", " 2367628.25, 2338156. ],\n", " [ 3847570.25, 3915140.25, 3982710.25, ..., 2438618.5 ,\n", " 2409484.25, 2380350. ],\n", " ..., \n", " [ 4023282.5 , 4325098. , 4626914. , ..., 4168680.25,\n", " 4159233.75, 4149786.5 ],\n", " [ 4068084.5 , 4368396. , 4668708.5 , ..., 4486165. ,\n", " 4479221. , 4472278.5 ],\n", " [ 4112886. , 4411695. , 4710503. , ..., 4803650.5 ,\n", " 4799210. , 4794770. ]], dtype=float32, 'Msol kpc**-2')" ] }, { "metadata": {}, "output_type": "display_data", "png": 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KZaH/6vU6iqJIKwX0HbcEMH0KVwXTLJu6JxTM6VbQHkej9XIhzfy0vjmhvczV4e3O/zkh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\n", "text": [ "" ] } ], "prompt_number": 23 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now that we are centered on the main halo, we can cut out a region of roughly the virial radius: " ] }, { "cell_type": "code", "collapsed": false, "input": [ "sph = pynbody.filt.Sphere('180 kpc')\n", "h1 = s[sph]\n", "h1" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 24, "text": [ "" ] } ], "prompt_number": 24 }, { "cell_type": "markdown", "metadata": {}, "source": [ "This new object is a `SubSnap` of the full simulation, and behaves in exactly the same way:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "len(h1.d), len(h1.s), len(h1.g)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 25, "text": [ "(1150790, 1171311, 1685336)" ] } ], "prompt_number": 25 }, { "cell_type": "code", "collapsed": false, "input": [ "h1['mass'].sum().in_units('1e12 Msol')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 26, "text": [ "SimArray(0.6467235093720013, '1.00e+12 Msol')" ] } ], "prompt_number": 26 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Typically we want to make sure the system is aligned in some predictable way, so pynbody allows us to make the disk angular momentum axis the z-axis:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "pynbody.analysis.angmom.faceon(h1,cen=(0,0,0),disk_size='5 kpc')" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Finding halo velocity center...\n", "vcen=" ] }, { "output_type": "stream", "stream": "stdout", "text": [ " [ 4.50101837e-13 -4.09682834e-13 -8.88203760e-13]\n", "Calculating angular momentum vector..." ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "Transforming simulation..." ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n" ] } ], "prompt_number": 27 }, { "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, `faceon` centers the snapshot before aligning. The `disk_size` keyword specifies the region which is used for calculating the angular momentum vector. 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(s.g,width='50 kpc',denoise=True, cmap=cm.Blues);" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Rendering image on 16 threads...\n", "Rendering image on 16 threads..." ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n" ] }, { "metadata": {}, "output_type": "display_data", "png": 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8g/PnzxeeV4VSaf6Qqey7QpVtvvC6Lh0ah0jyOfAXKsbAZRtzsdb+uWb545fj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\nlPDbY4un2Y1gJPo66Gj5PbS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KkUh3LPV5bVJgNTZdHAi6ZhJITJTN8KaASSApPCwQLrsb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\nnLHKkur8ZFtp7dWBdkzdFiOj4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"text": [ "" ] } ], "prompt_number": 28 }, { "cell_type": "markdown", "metadata": {}, "source": [ "By default, `rho` (i.e. density) is used to render the image, but *any* valid array is fair game:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "pynbody.plot.image(s.g,qty='temp',width='50 kpc',denoise=True, cmap=cm.YlOrRd)\n", "s.rotate_x(-90)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Rendering image on 16 threads...\n", "Rendering image on 16 threads..." ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n" ] }, { "output_type": "stream", "stream": "stderr", "text": [ "SimSnap: deriving array temp\n" ] }, { "metadata": {}, "output_type": "display_data", "png": 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zLEqtvkhPcxdCo7j1pTNvsyx9eq5lgJ3khw/AQOwV8E1rCyH4NtTvIWrYk46m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\nlNhPCAZit+CyeZlNaNErR9VRP1bBJd2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8HrH8N6Lc3qB11QTQ2ggYJ2Cf+wTxhGH2OJVS\nDhcgTuApB+ORJB9lLhCqp3V22BxSiuWAmAkjkIzIpWldzXQ0Dx2HX5N6To4CEGSRnSjYrs2pclqV\nLoQkeD3dT3pxCzXLQC5DS5TPixcE6Kh6cioiQ5pyCBUVTgfNIdJe+Wp2gCJ3QXJuP0eR3G1VfFGC\nJxWlTS52Aw4I5d2fmYiYQMwBCMokdXO6I0ORBLM6QjHqYILcZ2QUCySRnC0xijmSRE7jjMYM0SgC\nS2T7134WLJZEHo0ItB4B6xGwxuSNH04R/eMhkB5gdsgxTQnTVGoCRKrLpaYher5ASdqUNSNdfv1c\n+r82OZR53Nt1UFdQWSnJvYeq+B//+Me4dOkSnn/+eVy/fn2pZalN7Ddv3sS3v/1tXL16NTt25coV\nvPPOO/izP/sz/PCHP2y1gItEyIfga9i9afAB4MphC0D20JmNl0F2bhMC24iklH42AU7HoFPSho5x\nLCXfyCL2dAakKTBThtwRARtxFkYVCcljADAVoEOOaJ9DTHPGzFT1XMhefCqAAw4ccKmqTxhwZgRM\nEtl5zbhpOJbI1p21frPzDJiMgc9vIN76COzjNB9cZAQuiVpGbJESLoRWI4uCxCQYIT0A+JQXnMvk\nWEIATIanzdXkxfchFEuRpYbXoVsJWjKWZSw6w+UEqr3XSUmfo1iG0WWRIoWU5OwCAjDTVaaC3rC8\nGlMlsadqHXq9khwR5YOVVAXsUcfVY0qTinp4W/uQOxEShFqNTtek9vInEBDl4WoZE4hTYKJaqEty\nN5pxJqnHANYAjJki8kSHFOYYjwSSCWG0HuUxGdYiaf4ZM1CiBokJk+11rMh8LQKtRRAxgQ45xIMp\nRjOB6X6K8eNDHEwFDiOONI3AswFcXkpflD45VU4+uyZXTdp63yR9Vz/lOm5eF4qqfsys52VBRohs\nfm1XePnll/GTn/wEN27cwMsvv4y//du/7e5mFahdPd/85jfxxhtvHFG9X7p0Cbdu3WqtYH2Fj/z7\npsYX1q8GN47r6UgaBEmsLCJECQNOKSl5K5E29fUEmMTAiIGSWAZCj2IgjpU4JyBk7FOZcaRU5Gdi\n4GwMbCVyOzeSv5uJdGzbkB0mjVmuhteDgSkHDgXwmEM85lJCjwi0sQZsnQFtnQKdXgOtJ9KOrnXR\nWmLXavc4LnrlxzHos2cQPZkgWVde+QkhGhPYSAXf0YMM7VWlSV7tkzqm88zs/ubCKISMGO0AMIX3\nVdGAjjjXudIQEMc8m78/jjniMcnYA+sRRhNgMuJqjr+5Hr0oTHMTIBnC1mgfcqaEXhmPF+a4m+2H\nkXQ4k1Kx3MaJjNG/pqL/6UV4YiZj7gsQOAgzRWyckwpco6o+EoghsgVq9JZPSTtqX08AjJiUytfH\nKTbGKU6tpTh9Bjj9ZIwzXxzjzG9PcOrCBJOvrCP5ZxuIfu8U6J+fAn7/NOj3z4D+09Og/+Q06Msb\noC9tgD6/Bjw5AZ2bAE+ugb4wAX1ujPFmLKeCxjw3fyj/BL1Fpvrf2HQ6qRQRKsZ/vhSu7c3PrOdt\nWzUeKtwsHZmnY82tBPfv38eNGzdw79495/mdnR1sb2/jlVdewfb29pF0zz33HF599VV8+OGHAIBX\nXnmlnWdtgNac5+7evYuHDx+2ld1Ko2rUu+jRrqnSy7yHra9TT2tikVorfMSASSRV4OsxsCbV7xgr\nFXwcA3EifxmD4S0m7xaRtI3zSLJWzJTdWz39TACPUikRjaREjpmQW6pEOy2GzDhwQMCjmbxHHAPj\nMZCMgCTNGVQcIpuDZr4EpvTIguVlZAw4vQFcWMf44xR8bwqRAmxNOu1hogYGh1wOLgQyhzMAyCOu\nqB8BOc1Nax70FDGlNmeUF4rY0fnv2mNeBw/SeeaOc/pg8Z2Z/zVRx9qrXZlVmLIZszgCizkECURT\nqSaQeXBwzjA15tlrhzjOCUmcD0q4cgBkTJottFR9xMmPDGc05VWuMVOag8MZwzSVi9akQvsLKGle\nec3r/lgwIOFFaZ1DLmajF17R0rqMew+MY461UYr1Mcf6usDkdITJVozkbIL4fCK1UZsJcCoCrce5\nT0bELGcUrT6gXBukX8n5EdjpA8RrEeKYKxcOAa5W3NPaEK290FoV/X5J+Txo0smdD6VGQ3+z2knQ\n1lSYaCKhu3AS7e337t3Dq6++ijfffBPf+ta3jpzf2dnBCy+8gAcPHgCQHu8XL17EnTt3CtprANjc\n3MTNmzfxk5/8ZCFld6E2sZ87dw6vv/56Zl8HgNdeew0//vGP8c1vfrPVwvUFq6Rm1zDLLIz9rFOg\n/Cebx55A2RoZ2LpJ6pEk9VGknM8SIFGknknryhNOILd3a3IkAAmBtPOaso2LRDu4pXI7VNL5jEv3\nba3SnxHwOJV5HnAZtWY2k9oCImA0ls57nEPI6DWKnfTzc5AZLoynciCytgb68lmAC0Q/35d5q6l8\nNIkAAsRHU+DXh8AnKfCYq7IpUVaPIbhAeqg89QUsqVrWPCMBoeK0S7OxcqSjQjKng10esdbdCrVW\nIGFSzcwSqUXIzBoqbxYTWBwBjIM9TkHGijEyvKvInPy4kASccpl/ZNjqGQcYUUb2ghMEwbCx50Rv\nzgHXU8XiiJDEhGQmsD+VQYdk8CFpJkpBiFRAIK3a16vNCQ6kivC0vV23ay3hxgBGTGoG1iccG+tC\nRh18MkHy5Aj47Bj4zEj6iygNFJJIiceKvG11lq5+MwD/mtRmRWdiJOsMozGQKFs7F7y4aA8TGbln\n0+WENOMQL45HuYBs/8oMYwbjEcZ/GPs+Qi988zUQ0ue1MYhoBK26aHqtA1evXsW5c+fw5ptvOs9f\nv34dL774Yra/ubmJ7e1t3Lx5E++8886R9BcvXsT58+cbFnJ+1Cb273//+3j++efx/e9/H+fOncP9\n+/cBnBxVvIm2Cb/twYNrup55L+lghUw1O1qLkJyKkJyJpOr8bCwlmbGaKhZHoCQBRiNJ6MlI2teF\nkNJyljHJaW+kpHGtxo4V0QsAMwFiKYQ5wXifpNv2IZSUTLn0DgIepRC/PJD2zX94lAfHOT1R5eB5\nx8vVE0vdLgTx3HlOzrUCGAN9ZguYToEnJ/Jep5R2IpKdO23OIE4lwEdT4DeHwMczYJ/LTQgIIZBO\nuVyoxTL1A7mdHCKfLiZDqloro3mWPdV5mJHIpTagOAAgApIxsHYuAUVAus/VIjdC+R/KYEAUAfGI\nKTtlbsXlXCDlMsa/ULZuUgvorJ8G1s6OwGcCBx/PgMdy8CUMMVwIacMHkPkRiGygYD6Ham8xxyQh\nJJEkd5oCQjCQUGGHdZ5CW2YEwKQmIRa5ul1L7UBO6gkkT49jgfU1gY0nZSjh6LfWgM+PQOfHWUwD\nJKyops20PIZYnb/Io2nWImArweh0jGRjhvFBipRzCMEQsbyP0GYL2xSTqmaZqrbBOUCcpEotlQ6J\nyv20sC59U8IORb+FGeN9NbnWA+Gxh929exd7e3t45plnCsevXLmC27dv4/3338+uv3TpEgAp4b/0\n0ksNyzg/Gqni79y5g93dXdy9exe/+c1v8PWvfx3PPfdc22Ub0CLMJssAFVNd2kB1LPXx2QSTcwnY\nZ0bAZ8agzUSS3DiWc9VNSX00kvtEkiQ1NLGPo1yHyhSpZ3pVkQUCJyIILSVRWhQDuNIAaO/3RwB+\nvg/xq0NknvIbMcTZR9J0MGZSw5CogQhTk6T1FDZAOrIJAZpNpbPfmdOgiAGffgKxf6B8AwhESiU7\nVnXwRApsHUD8w76U4A+5WtxFIN2X5M6nPOcBZG4HBWh1rOZEswPN1LWsKMhLhzwpFQvIMYCuFp2n\n1LgQ4jV5MT+QS7rq5+YzIErk1C0ogpcOSBwp50hjKNU7EMUCo4jj1ITj/OcJm1/ZAPvCGPwfDhD/\n4wH2P5xCfKSV4SybMQAo9wqRaxkKnvvQQV/0QwtMwDOVPUFgljKY/pDaa1+TY8QIozRXU5tSuyb2\nMWTbnoxSTDZjrD85QvQ7a6DfWQPOjoANRerZrImSj8Xl1JCxNWTbOJsgPpdg/ImMsSC4jKI3nVEh\nG5a9W6V9gJxyqJ0UUyEgiJCSAFKmFh3SKelIfPxCu4Kb8Och/956yZuakybX1sTu7i4AZKStofd3\nd3fx4MED3LhxAy+88AKefvppvPjii7hw4UKzMraAxjZ2xhieeuopfO1rX8Ozzz7bZpl6j36PZouw\niSOCjMMdq1XP1icp1s8Q1p8YYfJkgugLE+ALYynVnE6A9Rg0iqR0HseS2JNEqsGZVFcjNezcEZOT\nj4F8XdHMC4pyYz/xgjlA6B5EGppzFf4hlyLZoYCYCeBglp/7DcnBwZhBaNPB+QR0dgRsjUFnRhB6\n3rwOsC4EIBjEwQHo8WPJbkkCrK2DWCRV/IB8DpI+ATRKgMMpRCyd70RCwOMU/OMUqQp7O/00lXHx\nc8G60Eayw9bxzIFfO1Gp6XXyIh2XHsojXv5PCRCpGhSJrAZlwJRP5SBrus/Bp8rGmwqwEQNP1doA\nEYEYk/OzYw6BGfBIRXAnhoiAjUmKc78d48w/PwX2n5+RTmP3P8F69DHAgdn+IXCopHLtda9CxXKl\njifjebNwrHpNABXlL54AYw6sHaZIYoHHhwL7hwzTGVODopyqiICYyTkdPBU4AGXKHoJe2U+5cyQC\nowkw3owRfXYEfHECnBurWR0Gqbs+mKpjWZGUZupsAvH5MSaPUzldM5qCfcwxnSKb7qidJ0m5e+iZ\nFzMOzBjDdAYwoTTwkPb5SEDFGMjHEcYYqtLm3gZWqa/rCu+99x4AYGtrq3D83LlzAGQcl+9+97tL\nn+Jmojaxv//++7h27VqmggdkB/Pyyy8vLcpOX9D3j0CP9CMmPabXxyk2ThNOfW6EyefGoC9OgC9O\nZACaU1JSpZFSvUfKYU4Fo5HROwz5QM1BoTiSwVyOukvnHSLXlsFiEjBIIn6cSlt7pJhMpHLaGyDn\nvR+qaWVcSO90kr4BbC2S6vpHKWgqiQobSd6Ja2JPVXe4v58PSAA1YIlydmYs3x+NQZMZRBzJ6Ul/\nvy8XqnmcYvpIxrXXi71oR7lsBoKe6qVU1FotqyObsSwQChXWcM8kcibrl085Dh9xHE4ZBEnpTisk\nhCCkUy5V5QKYTdX9IL3KmXZNiwhsPcL4VIxoLFXyya8PwX45Rfw4RZpwJCNg/XyMM1/fBPv9TeAz\na6C1BNjnYH/3GBQT4hGBc54pUzgnxBHHLGWZ4yAzyD0LnhMTWKLmh8f5PHE+5Yg/SjH6ZIYkYnh0\nEGE6Y4UBUcT0HH6ORDAkvBg/XgaiQeaNP1pjSM7EwPmRHOytK3u6TeplzGirXHRr1R+Tmn5JX+Rg\nAliPVSCb8RSzR1z5Xci2zEgNRJXSik85ogM5J0AIJrUdSkzOAgWBMlJPiyVYiHd6SJ+2iHIcwQI9\n92xCXwXUJvYbN27g/v37ePnll3H16lVsbW1hd3cXt2/fxtbWVsGpbkC/IDsIgZgBSSKwPhHY+OwY\naxfWgS9NQJ9bk/Hf11VEudEol84jlpN5FmVF6Uv15O0oAngMSgTEEbd79SuE0VMYOmcQEBMo5sCY\nQRxy6TGfUObKTzyVPK+EfSEgpXhA2jVnAmwmQDMZIIQilf+6JneoskNuj/aBj/dluc+sGYMVlU77\nESRJ9syUxBB7B0BESA9SGRNexa/X68xHkbSLZk5kgFosRB7jRIjUuulQTlUyKIux0px+XwlhvBmD\nRcDBRzO5yAznSAXLnQOFmjgwZUi5zE+TrRAA44RI+SoQ4zIA0ZkY+N1TwIRh/eePMfrVVNr9xwzJ\n2QT0O+ugL2+CzkxkQaZSHSEeqzn/MSGKCTyV6nHOpI04glQtA3JAIhdS4TLUgSL1KGFZIJhknSHZ\nShCdjZEeCOz/f4/x6JeH+OjhDJ88inCYsmxApGduCBAYFxgpxzKo1ymd5vR8dYFkLUK0xqQmJ2HF\nNmh4old+NIYWpvALyHa1FgPnJ1KzdSrC+Mw+on+KkH6aIp2qAZWeHkkAuFxAaPo4BfskhfhELpRk\nGmCYUDMZhK7PXB3PUU22baJ3HvA1VPH/47/9Of6n//fvC8e+xD6odTvtBGfP+tIe8raKvg+oTex3\n797FT37yk4KL/6VLl/Dtb38b29vbx5LYy0atvWv0JchUoyrcaLLBMH5yBHxlHfSFdeDsGDQZFSX0\nOJEedqYrr3Tbzfe115h0n5b3Mg2vQG4sJmHIslC6SVUwwSQjjQWIc2CDQ6xNpe2cTaXU8zgFO1RO\nYcp2Lrgk0HQmgP0U0ScEjGYQD6egmOQ0OamqkFKbAPCbffBfHQD/dACMGeg/2wI+fwo0meTPkSTA\nZAJM1oB4JGswTTMDsphBOs6lQknllDlAsSz0ak7qMxXxjQBwJr3QY0hVuWACfMZBwtSCyPpJDzh4\nRGoNeDlwiLnATDnRcUGYzdQ0MRU8J5PkuSSTOJI2d2Ip4jFD+jhFdG4E9pUtiN9LMUo5aLKGTLm7\nNgbW1mUHur8P8egAeHgI/kirm0mp09UcfUZgQq1JrgYrMt48l5I6g4zrH8vpd/GEYbQRIT6fgP2z\nU6DfWkM8irDx04+x9u8+Bnv/EfCrFPtTgYOp/ML0IjGkZlHGqRxAaacybWZKYoHxWEiNREKSfHVb\nTVU7JbOOS0jCtp3oa8zzIwYwuRgSjRnEqRjx2QPEH82kpklWhkyfCuCQQ+xzJHsz7DMZ/yDlAkJZ\ngYSQA7+IKFvBj4zxcBmlmcPpNr3We6eNDOx0/803fgv/5hu/le0/+7//B+DChVq3unbtGl566aWM\nyDW01vrKlSu18lsEahP7xYsXj3gHamibg8ZxiSHfBCbhL/OjsG3sGblDgCIGdiYGPTkBzq+DzqxL\nIo+MwDN6rrpkTulBznkehEYYnk4ACp5fZiGk2zQwS5XDHPK5wiwCYqNLSlUHPE1lbPlkJlX04xlw\nGCmPern+NfZT4ICDP0rBD5R4nAqpzv/FAcQvDyA+kWRM6xHoiRHEPkf63iOkD6dSakoYJh9Owb56\nCHFhE7S1IZ9/PAE2zgCjU0A8ls+6/zPgHx8j/fUhZmp+u5TE8vLreeCMlBSf5muym2utMyEd1uSu\ntEFjpr3ltXTHcZCKzMDKGCFKCLEQSJTjlSZyUTAF5L6HUKp6gCGapogep9h/OMXGzx8DF06Dfvf3\ngMk6MD0EDh9DBYWXBZ1Opcni4wOIh4cQU3HEt0y3J0ZScqeUMp8BTepMx1yP1WqBaxGSMzHos2PQ\nb6+Dvvw54NQp4NQ/gD05xta//wjsnT188iDFp48EDlOWfU+pEIh4rqLWbTtSzxpFQkaTSxSxa/PP\njBuJHd6LVcg+JMo/JD2gHZGKVBfJVQ43R8BBqsxSgA6jjP0U2OegT2dIfnkom+uhAD+cyvcE2S6Y\ngHK0pIIKflnoFbHXkNid19bE5cuXsbW1hbfeeqvgT/buu+/iqaeeWqqTnA+1if327dt44403giTz\ne/funSgJPrTxL+Mj0Y7ItnBCBBl0Zn0EjCbKjs6kClp7vrNYkvLhgfzlhgqeW8ROJNProDAaqbKb\nM0na0kFMSncALFFDElwWEz5hoHEEcUqSOhjknHhAquwPONhvDsF+NZVz0QGpUPhkhtmvDnHw4RQA\nqfXfpa16+qmUPEGEaCRw+PN9jCOS09q+MgX9zpPAeA1YPw+MTss8P/klxMNPIP7pALOPZgWRiLE8\nJK2U2qXntpbUtR2csXzBF7OKhFJ8aMWFUM5yXAjwlDKHMyKpzh6RnDLHOceMs8LKcbbNUwg5bWqW\nAtMZQ3wgcPhRitH9Rxg99Sno4mNg64sysPpsX7rQA8B0Hzj8EDicAp/OgANxdNI0accwuUY86bqA\nCpgTKTV8ogLlxMo7f0Sg0zHo82NgawJ8/reBM58FbX0G9IW/B535GTYfpYj+9hHYPx7i0wOtKCEg\nBWbaw5wbA1bIOpXaqBjxOpPT0RgkqcfKfMEhZ2UIyh0xy2BI7aR8SbzEkgAYJxCnZrKd65EVV2WY\ncuAwBfZTiLUIo1Qg3VerFnKOiMvY+1zFCShTJhTeccX+gHC4pr299tpruHnzZrYeysOHD3Hnzh3s\n7OwsunhBqE3sL7/8Mu7evYuXX35ZdT5SBajVFDrMnhAC77///rEh9l6NWOdAtqgHIO21U4FICNlZ\nJVpCVw5zyVhKqhQB6aFknnQGzFTY2NQg+QKxs3xqHGPyOmWjlXpqkuRNOvKZKFSwYELOZ0+jfHSu\nOzkO2VmfXQfWJzJ+/OEh8NEjiP/4MfCLA0nuEwZMOQ4+nOHRr6bgM6U+VoKaXuAjGqspYALgvz4E\nU8534By0sak68UiS3OOHwN4nEA+nUjsA1dH//+y9WZMkx3Xv+XOPJbPWrt6wExRBarsa0wgg9Tw2\nBpJm8zI2JkKUnq9JhPQFoOV1zLR+AAmCvoAISI/zIDPatbnzcsckQdLM6FILCZAgtm50d+25RIT7\nmYfjHuEZFZm1oBsooPuYVUVmZCweER7+97P9jw2maCM4TOvCFTFUjWkpUmMlsTL3Ol9qtVkwxOaT\nJAAAIABJREFUViO9xQWO+oA7YmLyQQD1DLAWyYRRcIEY56GxrRk+5ktL8LOnpDPeC64R6qmnul1R\nvDfB7O/DEwZGVyCbQTMFN9NnfnCAHEyQwxpqr77iYFa2FrxhgU0tmo0j5WwbMJeZVmvP1yz5Vg5P\nj+DZTcxTj8HWTRhf0zaMNjCzGvv8jK2tjOLqjPF7M+qpZz6DaZXhRagaAd9xyGfoPS4zIR+Hc6xl\nJ1PastBHMxOyH7RzGWtCN0wuKu3b0M2ObdYFVwb3U/ouGOcCEVLkO/DBFRBIjiq9l3LsKHcbqoMG\nV+mzadziSKOGgUWu/NiiTxLAL5Xb8T435Hvf+x6vvvoqxhi++93vsrOzs+Bu/ta3vsW9e/f49re/\nzS//8i/zd3/3d/zlX/7lpc0IOzewP//889y9e/dMAQN9n8QnLW+88Qbf/e532wfx8ssvn6D/O6us\nAvazaPCfdk7ogr9NooYoyNyrydD5kLudKcAXJeRj/YtJz+Igj4VeapjPg988UT8jUo1GsL6h++Oh\nChHo3qvfMY5ILSq0Nt2WQEZw4K1qV5kNzCMGbm5jfvrnYOOGOronu3D7fWjeQ7ZzOGpgbJF357jK\nq6mzUTu4zdQszMi0vt58PdPqXaBtu1vBnRlMDjvtlUAPFkz6+djim8A2h0Wcb33A6ltX1jbV1g15\n4C1fGwlrW5ZiPcPk3aFFBF+FWu6VR0K4twkpcITgM30UpkslFI+tPLmN5DKmjboXCVHj0mnzjdMA\nO9+o1YL/mCD/4x7my3PMWoHkEoC9gukxsr8Ph3NNO3QSgD1MskyM4tc89AhIbcR/6Ao2C5HwofRp\nvp5hrhWBK2EdbjwG5SamWA+O+BHyMyW2yJDH32Pti8eM/vsx1fszjm5VsOewxlI3hqyxbRqYJRSr\nySDLjYL6mu0sP5nReI3SarZHUQRq4uB+ygtMXnTg7b1OGptaJ7NtyWGCq2ak7ppYAGk2b/tI67Zy\nSoNsXLBs5R5yh+QB6K9WmK0MW9oTLp32dU2MWn1gX/qOPyC5FApOTJ+96L4D8uKLL56KDb/5m795\nqVLaVsm5gf3Xf/3X+a3f+q0z+c4/TTPFebh9LyLLgPqss9pPcvYbX0ZVBEO5TdQk7ade/X5V0/kL\nbQYm14CgLASN+QbytcDKVoTc9anmfYvoZCBqMRAGvk0Y7+jJ60kw0RuYTHTA9DH/PfrlU7u0tMF2\n7UhiUR/m1jps3sBsPqna0Np1WN/B2Bx2PoLpHDKLMYeM357STBzVsVOwDKcx1pCNLcVGRr6VY0Zh\n4M+Nss+NQpyBLTDZGMHCxjXME9eR/zSnyA3Z3Zpir6Y5ctRHjmZeM28Cc5oo/zkod/ha6dncEMoN\ny2g7JxvF0qm0wN4YTY9yVXe9NkvTwtS/Hgendv1Mq+TZRgP2YuHbSITixSxSlvpuYuemjvxgAs0M\nkZBy4GYwP4LJsfIGzB2RYtUEoNYI/gD0Vjp6XaElnMlDGWBbBG29VG3dbmbwxCgUU7kBW09gRjuQ\nbehEzWSwfg2e+0XM+jrc/JDsxj7jnxxTvjNl/IMJR7dqGu+pGo9xWkRmnHs2xo5RBMpoAs9Q//d6\ngdkYwfY2bG7D+pbGFuTroZ8D2agDdTfTyazmpml/xWgbCS4nE6YVvoHxDJoqgHqlrquq0nfERA0+\nPr9Gg+42MsxY3RStgQBzgtE25qunoO57y/47/yDkUgA7XCLTwScjf/M3f8Ov/MqvnHn7cwP7zs7O\nUlDvn/yll1467+Hvm5yX2/fjyFl97qd9X3WsjyMy8EWCWVZmDjlsMPNaB6CYutbmd9tup2ysgWTl\npoK4CPg9ZDbF1KK9yRogaD1ZAaMtTLYGowopt0JA3h4cH+vgFzX+qCW1kecxKiBpdxzt4uTB5IDH\nFBuQryFfGmOu/gSODwGDXN9Xv/l/ucPRu3PqqTLbmRCAVm5k5Ds55noJWxmsZ5hRpiVqn9qCqzcw\noys6wRGnYPPT/wl74xryxffIPjzA3p5R3KkYvz9HmNDcahAR6kY157JQIqDxmjDashQbmj+eFR2X\nuwiI8/gmuAqiWduaNi0sKzuAjyZjvASymQCcc6+ZAb5LszOAIAskfjHvv1jPyHYKWCvC8/SqqVdT\nOD5SUAo52GY7R2Yec9CQjyx+HWxjwDjEGWwTTO/B8p1ZIc+FrFTrRr6WMdrJyW8U8Owa5stbmOee\ngqd/GrN2Q/tZcwx+jrhKgTQbwePPYa49BV/ax7z/Lua9O2w+vk/xTweYH88ps4p5YxExjAvH5has\nXS2UgS9XzU7T0ErM49fVOnDlKRhvY/JgIcAkfSrTtkSzhM1pAwt8zQJvsDgFf9+AeKQ+guoY3ByK\nGS3FXhpIYYKPhaQ/xy7uuwwKn8RLLPtb9o5/Epr7I/n48tprr53ZAvDKK688WGD/67/+60Eimv39\n/XOf/EHJady+P/rRjy4UybgKmM/7+Tzn+biSTm7j4O7FhHFcNGBsWqvJsa6hqNXkLoEcxmaq0WQl\nptxCTAajLRitQ1Fidu+oGdI1HWe7C7ZkW0KxCQgmX0OM1dSx7B5Mjrr0sTadLgxL3i3eOC8aeDSL\nkfkN+Hm3r8kw6zeRYh12jsHXmKcLuLpDufsm69Uek4+UQ90WlnyckV/RqGyeGmlBkM0CrqxjblyF\n64/BzrNQbOhAPdtTq0NWwGNfwtx8Fo52Mbc+QKYzuH3Izn+7hf37fWZ3G+ZzDRAsSshHhqxQc7+S\nl1g1FYc5kzjBY7GZBJC2GiWfh0jyhNDFBF91tHDYXLdzpUabN3PN5/dOQo15TYGTXHcpSti6mrH5\nxTHls2P4xSuYZx8PVpg5uDrEUwhsbmHKEtk6hEmFKQ4RD+U4o6w8vvJUd2vq/Ybi2FEcO1VOLYzW\nLOOdnPxKTnElJ9vO4WaJeXoNnr6CeeYJeOwZyMfI5KMWHDU4swn+65G6csbbsPU47DyOefID2H6L\n0RNjHv9wzs6/HjF9bwYe7Cin3MwptjPsTg7bBeZKDtfGmKduwhe+AptP6mQtTHn0AQSzeNTU2+DP\nPPzFXL218EIFixbovfJzcHOMLRRg6zDpzWvIamg6P34bX+JELWVHDRJYAn0jOG9D0olpKX4jwEf6\n3E/Lxx7lU/e1Gz7RqPgHJa+++uqpwL6/v8+LL77Y8tGfVc4N7H/wB3/Ad77zHba3t9t1//iP/8iL\nL754acq2noXb936nKJwVzM+aBhdf2I/bD4csAjFWzTtwlQ+Vy5z6zItCNbW8UE3VZIAG0Zl8HYoN\n1cCLTSi2kGJTtfAP30fmM0z0MfoQaCc+OorBWMzaTcQWAfDvwnwWwD0MrtE8HwKQxAZVMwQc4QSZ\nVphmhvhgEhWU7czmmPFVDcLyDbgZ8vTPYn7mB4w+nCMe5nuNcs+sa6ofVwtl2tsZYa5twFNPw7Uv\nqM+33AaMapDVof4JUKzB+Arm8Z+Hx34O4ytkdoT54j+zffXf2Pj+MdWdqq3tXh00+Fo6s3pUCG1X\n4S36ho012BzEaAR/9FJIfJhRAcxMu4zgbnOt7OYbDcKLHWzs1Gw/2s4orpfkP72B/YUrmMeuwLVt\n2NiE/Q9BPgxpbgLbO1Csg3jM2m2YTWG9xDzdgBjkeEp2VLN2VDO6UyHvz/AfzvWUGzn2mRHZF9Y7\nt8Z6gbl+BW4+BlvXNULdNTC9C81crTdNo1dqrPqvSx8sCSOdVG48CeuPw5UnMU//G9z+iNETdym/\nf6RFeTIwW7mec91itgp4Yh3z3NPw9M9irjwL+UaYsNbtLFfm+xpXABog2dQ6odh+EjO+pn29pQgM\ngN+a4aFNQG/fuL5enarlqL9+WsN+Bbcr3H6jUfEhLrUJoB7N8kIH6H2TfP8MZ9XW43YXBehP3SR/\n4SIwl0fefPNNfvu3f5s/+7M/G/x9f3+fr371qwssr2eVcwP77/7u7/LKK6/w53/+54CaE15++WVe\neOEFfu3Xfu3cDXgQchq370VuFJzPtH5WTf1Bzn7THN/0Lw329V5g6pGZw8xngWUthmqHQSqCcx4+\nx+/FBmbraR1Ujg4xVZWMNNIBe8tS5yEbY9ZuIDYMjqNDqIOmCEEzD4N8lmHkCJk72gpxMSqsmYF3\nmHysx41XaqxOGrIRNBNAMD/1OOa9Y0azQCYTgI7CavR8YTGbJWxtwca1LmAwikmekASTbFMhI1pT\nvVlvkPUdbFFgfu59sncO1Lx/p4K/36c6bFpQNuE6Ii+8uGCdDd8jQ5mNpnqCBTcok9AaKdRP7/WY\n2RhMoemKdt3qxOBKAduF+nKf2YDtkfIVbG5qhHbdwP5uV8gn18mc7E3h/TvIu0fI1GGfWsN84Qo8\n9RhsrGGi/9hmZJNjZHdKNqmU2GZnjLl+Xf3YgsYqFOs6IVK/g2q6JsBUlndpk9aq9SAP/dDHba1a\njfINzJVntbLc2gbGAZu59utYOTAzWghoa6wR98/8PObKF9WXDnqznYNqD9l9F37wfeS9u/iPZvh7\nc8zMa82En38MvvIluPllneSNdjofvKAWjvpIgd3NkfoY6mPtm81sIXiunezWFXJcwb058u4UeX/G\n/F5NdeSoaqOg7lRT92JaA9YycIcOpE/T3odM+Mmbc5mU2dUSPYQX3feSyIsvvsgPf/jDQXB/++23\n+epXv8re3h4vvfTSCY6Y0+RCZVv39vZa//Vf/MVf8J3vfIc///M/Z39//7yHeyDySXL7XsQEf9r3\n/vFZ8fsyMcnSQFssI+bG2rRxtSgbVu0xda1am41BQZ5Y3URsrpHz0IG1zTFr15GtK3Cw17VYvA54\nvtHthKDZWN1ndE1N+uW6Dt7NvPNhNiEIKZKkiFEzfKgaZzbjAO0UxOPwZLLOdAq6r6vg+nXM0x9i\n79WUhw1u4lvXKqA+aec1RakJkc3WK1ObeExWanwARttoQgBhbEPgEzfFFvLTX8M8vYd5/z+Qt99F\nbs+xRXgKkayE0MRCAdxkBipPFkztJjMdkQ1o9oJHNeXIQBP2s0XI1R4ZzM0R5omxTliulSGTwGLG\nBXiPWIuxFtk/hr0J3J0iHxwHk3WpPPu3ZshHc+bvTGn2G5ojh7GG0Y2C/Oo98mc/gKslpjHIZoZ5\nbA3zhWuYp64pWF67EdIcC50gZTFdcgbVkQZg5mvq4ojJ+zEYLVIUx/4lvvN9R4KjDJ0cbj4Do2uq\nvT/5FsynAURF+81oBNeehCtPYzYe13OKgNSqof/k/0H+/S3k7z9k/m8HzG/Nqe4pZW++Ztl6do18\nv4E7B5if30N2rikDYbkRJr1h4ufq0AdCX3eVTlTrkDVSV/q5rpHZDI4quDtD3p3i354y/bBicq9m\nOoF5Y0N1O9P62jWzwbTp9xHU46ubAvUqYD9Nk4/HOitefuoa++dA/uRP/oTnn3+e3/md31kA99QC\nHs31//iP/3iuY1+outvOzg6vvPIKX/va13jjjTdav/rrr79+KfLWL8Lte4ea/8y/L6z7X7nG/8aN\nhXV9Dfs0UG6xI9mvD9b3y+yeSgrohlinWpSqMkQtZzF1CoL25oOfPewlXteXTVvBTQBjCrqhwGhQ\n3WhTNS/X9AbnhM3bx6HJqGl17abmLfsGaSZQT8GHqGKcHnO0j1lbh9EuUjdaD35trIPn9F7wh5YB\naNM7bMEGUFnbgJ01zNNz8mOHvV3pxMYJTBysN3BQQXEAozsw3lRAkgapKz2eyRSsQDVPW0B1iMz2\nNJVPnMYcZAWIR37wIe6/3sbfqmgOFTDa+UYA77YYiQi4rgBMG7PYGkzUyuBCLzJGq7SRKckLP7OO\neXoTbqxjbl6Hw2Pkzj7cnkId6qZbA8c17rjB/3iK33e4A9UUbWYoNjKamdfo/sprUZtaumzGjyow\nhvKfDynWLQbD6EpG8dQI++w97Fau5vXr7ysLm4C5uqlWkFmF/PgjBbVra5ifegKu34SbX4ByA5Nd\nCRMAq/fcVcHP71rTt7Hh/sfyaMEVZMbXkI2b6iZxc+0PxTomX1MrgckVcCe3kIM7cOtHyP/3H7g3\n71D/2zFH78+ZHTj1BmHCOyE0xw35+1PECKy/h5keKbfD2nrgeCh10hEnHJHTwbkuHbRp1KpR18h0\nDocV3Jkj7ymoTz6YM/moZnokTKuMeW2pGtOmSDqPkhxxupb+cUA9ldMA+w3u8DcspjHfuHiR0IvL\n58AU//zzzwPKDfPyyy/z27/927z00kt84xvfABRPYzn0uO1Z5dQn8pWvfIW33357kI0HNPI9ktQY\nYy4FsF+E2/cGBX/K6bn5sFrjXuVD72vxrPg+dM5Vv6cSMSFL/nKELFMe7SLz5JmEaGsbNEej/msv\nGBe41QMFLE2lA1QAZzEZptzogNtkMN7SQe/4qGutD8F3mOCXDOb4aJa3gQRHCP77eaL91EgxUfNr\nOdLqammO8PERNLWaP0fbwcwqqlHna1BuYTAKwmtbmBs7yO4UbtbYwFaHR7XUwwaTzRELho/UDHyt\n0eN6D3feQX74E5jMYVzAY1cwziPHcx2855VOgMYj2FiDH96m/i+3OPr3CV4S33phWhKaNie69Y2g\n65OHbK3R2+EDB3zkxhctwEJmyBrRqKr1QtnM/vnHyNtH8J5q3N6F1MbKU+/V1EeO+VS0+pvTnhXd\nx0gXy6jENraNyYiTjOlMyPca8gxmezX5hxXZ948pN3OyscXGv9Ji1j9CKqE5bKju1cjUY8aW0dMf\nkn9xDfNLj8P1TdgJwYqgQZnlNiYfaf+IHAouxFRUh507CIPJSky5qc8qaPkiDnFzOPgJ7N5C3v8A\nbu8iP9xF3jpi+s6MyQdzZkeeqjIYjBLbjKDcsBqAt5FpbEBuoHKa+RFZF2eBlCYtWxxt5vFz0wQt\nvYZJBQc18uEMfjKl/nDO5FYdNHXDdJ4Fbd109ehFAT3+nTfdjd62Z5XTxpmXuMFLibLzv/OTc57h\nPsjnxBT/ve99r029fvXVV/nVX/3VQVAH1eLPA+6nAvuLL77IvXv3zkRI89d//ddnPvGDlE+a2/c8\nQA/3B7xPk1RjL5CW9WyUe03BKoViPafYCKbcYBbuQnCDiTkGwdmQd76mmpvkI80bj5KFWu02+B9j\nIFwTtPAyBFv6urMxtxp/1kXex8mAOIwt9Z5kJZRraqKfHGkgV9SKvA/85g72duFootrUjRvI9uOw\ntqPa3bXrcOUu3BxpEN6x09M3AscOsTrAS+1h/g5m9x5sbSrg/suP8P/tngaHZQazU2iwngdTWkxp\noBL81CEC9Xszdn80p5ppylcxNuSjjMwb3QfVwjOko8Z1WtQmnfd4r7zs4nRprcHjMS7DG5Cpg9tz\nsonDvD3R/fZqqt2G+UGjlecqZRdsGqidCdHWNiEKlAXXzBAlbfuoAOOVBMd5oXFCNnNkR47qoCEf\nZRpTFiYtmv6tpDvNzNM0apEo3pkz/v4Rm/90gP3CGPPECHt9BFdLuL6FeeJxZGNbCYhGGxpt7uvg\nt56o+Xt+HOIcNpQdERM05xoO9xXM391Dbs1wP57g3p1zfKdmtt8wOYKqsYhkWsK40GqH5Zql3Mop\nt3KyzUxjJK4UXSR740DmXR+Pk7LUh9402ocqp8WHDipkt0Y+nOM/nDO7UzHbbZjue45nlnltW1CP\nUfBN0NKF5cB+mqZ+EVDvPerLhIE9MckYcoF9L4m8+uqrC5wqr7/+Ot/4xjf42te+tgDqcdsY13YW\nORXYv/nNb544yaptL4s8SG7fIXPVWX3qq7T2ZcfunyfKqu0iqOcB1Is8lrP0rJWe0YZltJ2Rb+dw\nJcesZaFiR3hpvACNjioxXadp1G9oLIyv6l8EdxdA1gbfo0igz5yrWRWjA7APqUAxhYgwAYjTcGvB\nhAAlW4aCMcFcPTuCvT0lTjEo65cxWqTk6BB5fxd5b6LAfeM9zNM7mC99EW58AbYfw1y/rWQrBuRu\npfzntWhGQBNY+I5q/dubweY+WIN8NKP+yYz9tyZUyn1DPtLUtXIro1jPEIHpRxWzQ8fk2HA00XVr\npWPsBWkc3lmkDKBeidbizlXf8rWnmXhcAEGgzWmPsYpiImBq2U+phOrQwZ1aH1kjLZg3NW3xGedt\nyI0GxAS6266ndMAuC30qjp3qHpD2sUbQcLGcqg+pWniNgRRtowSLgOKdYd5YjdGbQXboOLg9YeNH\nU0ZbOeWNgvJLa/DUBG7swuYIdtYxV7aQ0VitNkWoWVBXMJ0qh725pzeoqZGqgb0Z8s4h8qNj6ndm\nzG5VTPYcx0cwnVmqJg85/coGOC49xnidfQfXVFYYneyOM0xh9V2oYm2BELnvCa4q6dLXanVnyaSB\ngwZ2a7hTUe9W1PcaZrsNs0PPNNDiVrVl7iwuTrhgwZee+tSl93loPEjXXRTU02NcHgj8fMobb7xB\nFumIg4gI3/ve9/iTP/mThXXGmPsL7GcFdeC+MLrdL3nQ3L6n+dovapKP+xpOf7GGQD4uwzilRCGt\npq6gvrZhGF/NGV8rMI+VcLNURrnSBl+mapat1k4sChICgYyBrX1Yv6n+9WamXOp9/3qMaHYh31zD\ntmnJ0NNAO6AN9c5KvQIbEG26Dz/+V+Sf3sLfmirr2ZNr8OQG5or6NWX3EHnnGPl/D5Fjh9nK4AvH\n8OE+5mfvwDNfguvXlfWudgR7Z4iO9sqwNvMwMjD1uq5y6jferan3ao72tYRoZmE09ZQjp7SyoTTn\ndK9h/8ByNMuoGvWFKxB6nPOMvIKDbyyu0troaQCfq0UpcGMN7xZZwzzIak1uDcxX6lkXasErdUDw\nywYClIVcaKJ5nVDpbVG8ke58xPg8WerKDC3pNMdgYYjoIyKLoRZhGU3NpoG6EZras3Y4ZzwLpUzf\nn2OvFXCjhKsHsH1Po/q31zDjUaA8zlpTN84hjdMJ28Ec3p0i//2Q6Xvqvz7c9UzmGbNatWIR005S\nvCHcn5Ai2BACFUODK48cN/qIKhcmvuGCnai1J6ZhVh45VECXff2rDxrmhw3VkWN+7JnPDNNKNfSq\nMdROi/c0SXBcqpEPmdpTTb0P3vcD0FPpj3GXSj4ns46f+qmfOjXYe29v7/7msX/zm9/kq1/9Ki+/\n/PKlLE13mpyX2ze4Ec8sqwC7/30VmC+zADCw/ixtiS6oDC3CUeSeIhfWCs84AXX7xAieHGtE9EaB\nKUOpVpvRBr2J14EunsV7Pc/xLlxRf7ZUB8q4FZnrsqy7guDvNJEq1IYSsNGXLoEIBwEJGrt34Ocw\n+wjZ/QHy9/838n++x+SfD6kPHcV6xvrPrGN+oUGuTmHqkPenuH89Yn6r0pzxPcvo0JEdOCUCubOP\nubmN2dpQEJ+GYi8TF4IGBa08F/zdgQTGGIMcNTSVV+AMqUjWGGwt2LlXFrmsA9M6mFbBtM9EA6I8\npRPyzJGNO+Y5QIE9TBJa8j+kDaSzhJx3B84pOUwzF2UsdTZ4TRTIbaDhjdZhBVUzCATtZzGduR0Q\nI2RWK40tTBrbuYac6J/eJUdMDx4t1VG5jZo+BIY+izlQAK0njvKoIb9XY7dz5GatXANXa2QtDymK\nOW3FNlCQPa6Rn0yQH0+ZfaDm7vmxo2oyGr/4Fim4R+t6rPcumIkHGiXhqYRstybbyCD+ja2CeyTh\nnzuteDdx+InDHTuaY0c9cUpjPJWWVXZeZ1RO+e2rxlB7q8YwVgfGLTO/P2hQT4976TDUcHFT/CW6\nmFdeeaW1KJ8mf/qnf3quY68E9r/927/lzTff5I/+6I946623+OY3v3mCnOaRdHIezXyVhp/uDxfv\nixatdlVkUOae0UgoN3NG2wX5zVIZ126O4EqpHNpra9HuShsOHVWt2CDvQWZwsItc21M/+/QuTI+7\nAKK4X/SzR63dzTT6mQjsIfoZFyO5QqBUhcz34PYP4d+/j/vb97j7X/c4uudonKXIarbu1Vz5qCJb\nz5CJo5l6Znu1Eu4AWaPUHoUT8sbDrRk8N8X89BNQ5l3wmie4G4SuLJlX83wR3ABTrSHfVdmSFkil\nUTO0AbLSUAbLSO0yteA2GoDWeNHEAyeMc08pvmWfE49q8sFAkhbKI8w3PIJpPOKN+q0rpa2NfnMI\n7RHakp8pqPtk1E8nsG2BGOJ4qVp4TAlPx9BF03ybdde2M0WW9BpSjd3HKmVe07gap4Q92Vywhw3e\nZar9V0J27MinHnO3Qq5UcKPEbGahXkE4eSNaxOijCvm3I2YfVkxDXnjTnJzMxG6sc0udNQmiincj\nlDNPcViRF0YZA0cJW2ARKgHGrtN0FhY3C26QuddsNwdVk1E32gfqJDCuxhDyPhY087R9bTt7t/aT\nBPVLLZcIoC8qL7/88pm3PS89+6mm+BdeeKG17b/xxhv8xm/8RpvHfhnoYz9NGZrNrjLRnwbmy8Bd\nBtavao+N24exL7PKWZ6vZ5SbGcWVDK4XypG+XWI2x7C+rtHgoKNuloUUt+TgAR0EMIf7sPcO4isl\ngmmCiT7mwLdEMjXM95F8DeNrNccjCt4uEHm4OS2dqNRQTeDW+8j/9W/Ub+5y6++Oee+9jJkryFDL\nQ9U4kAnjnQKbgwuUnO1NEHCNIEcN8hMh363Vnz7SSGY5qOGwUW3dBQ3MoipULiG3X8B4OHRqbg/P\nyIhBfCimI6qpamS5YTxyOO+oGsusNjgxGGfVLy4GEa/UAAil9y2deGvgaJem+xzS22SmFLHOaV31\nxhNynbtt4wOK1uQTvyV9SoL2HM+rAG3IrGr8tg2s60r9Rqi0VkL1U1kMvEsnEKbT0KM1wQWXQThY\nqFcPc2Mwc0HEBTdDpnz2c0+xkWGPHGbmkSs5bDSwnunzmnit5ne7orpbM99raKbKme+TIMF4Qhcm\nZG0/diaUl7WhIl1MB9VJsaaFNuS5IcukpVaI1YidE7XkhHKrtbOhgh7hswmZpJYmdK8YEJeCtel9\nT59T//PQs3xQcik1dri4xn6J5Etf+tID2RbOmcf+0ksv8dJLL7G3t8d3v/tdvvnNb7Ii0gA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ry1X8ZUPjh5HF0XbrEEy0DI5TexgyOaA2+6a4qBii3TW7KsWUxzW1Z0BYaBEHrzQxa6+kq5LFr6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\nuP7s7AyLi4u4O6UvQZnGdmm1WkiSZEzULy8vp7I9C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"text": [ "" ] } ], "prompt_number": 29 }, { "cell_type": "markdown", "metadata": {}, "source": [ "You can also make projections of weighted quantities:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "pynbody.plot.image(s.g,qty='vr',width='40 kpc',denoise=True,av_z='rho',log=False, cmap=cm.RdBu);" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stderr", "text": [ "SimSnap: deriving array vr\n", "SimSnap: deriving array" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "Rendering image on 16 threads...\n", "Rendering image on 16 threads..." ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "Rendering image on 16 threads..." ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "Rendering image on 16 threads..." ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n" ] }, { "output_type": "stream", "stream": "stderr", "text": [ " r\n" ] }, { "metadata": {}, "output_type": "display_data", "png": 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SuQD/sln/ZkWMzLp3FlM6K4yvT8Uv8/IgZX3CfGtA173z0tWrV3Hz5k0899xz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\nKtDuJzDTbR+TX8HVVSLpkzE+Hn8Dbv0+1Ov342e7wI3tKf7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U/GYpHHisZbVBNXlomp0A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\n7Gw/gCb3CNUUslpA2iVkvVLyIkFRrRB1Z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t1imKhnRIRFnQ8YWXDx0PoD8/mjT2z8PPN9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\nkOgTBEEQxJDw/wESmbhlBmGQ0gAAAABJRU5ErkJggg==\n", "text": [ "" ] } ], "prompt_number": 30 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Profiles" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "`pynbody` includes a `Profile` class that implements some basic functionality for creating (you guessed it) profiles. For a more detailed description of its functionality head over to the [Profile documentation](http://link).\n", "\n", "To start with, lets create a 3D spherical profile of the total matter distribution using log-spaced bins, and additional profiles for the stars and gas:" ] }, { "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": 31, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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KfvIJ/Pmn1pEKIYQQF+fQCWB2djZxcXEYDIYqz+6lp6cTHR1NamoqU6dOxWAw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\nRK5CYII=\n", "text": [ "" ] } ], "prompt_number": 31 }, { "cell_type": "markdown", "metadata": {}, "source": [ "The `Profile` class has lots of built-in functionality:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "p.derivable_keys()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 32, "text": [ "['j_theta',\n", " 'v_circ',\n", " 'E_circ',\n", " 'kappa',\n", " 'density',\n", " 'mass_enc',\n", " 'pot',\n", " 'magnitudes',\n", " 'Q',\n", " 'beta',\n", " 'jtot',\n", " 'mass',\n", " 'j_circ',\n", " 'X',\n", " 'dyntime',\n", " 'g_spherical',\n", " 'sb',\n", " 'fourier',\n", " 'omega',\n", " 'rotation_curve_spherical',\n", " 'j_phi']" ] } ], "prompt_number": 32 }, { "cell_type": "code", "collapsed": false, "input": [ "s['eps']=s.g['smooth'].min()\n", "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 10.3 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 2.61 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 3.81 s" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n" ] }, { "metadata": {}, "output_type": "pyout", "prompt_number": 33, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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KtTdkcLDWlQghRNnk4gIdOqjjVpcvQ2am2trtjz9uHvHxcPbszfPKlVP7+94e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"text": [ "" ] } ], "prompt_number": 33 }, { "cell_type": "markdown", "metadata": {}, "source": [ "In addition, `Profile` can use *any* loaded (or loadable/derivable!) array. If the data is not in-memory already, it will be lazy-loaded or calculated:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "plot(ps['rbins'],ps['vr'])\n", "xlabel('$R$ [kpc]')\n", "ylabel('mean $V_R$ [km/s]')" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stderr", "text": [ "SimSnap: deriving array vr\n", "SimSnap: deriving array" ] }, { "output_type": "stream", "stream": "stderr", "text": [ " r\n" ] }, { "metadata": {}, "output_type": "pyout", "prompt_number": 34, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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oUS4dUQY8HzwoyV9jY+De6+xZYO9e7Ro7FPHxMhZIGX5NZFZM/Ih80KUL8PLL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\n9D16S6Su+Em69B87Ho8DpU+SNjc3JUlnZ2fXPi4AAICwi1z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"text": [ "" ] } ], "prompt_number": 34 }, { "cell_type": "markdown", "metadata": {}, "source": [ "By default, `Profile` calculates the means of quantities, but it trivially calculate derivatives, dispersions, 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": 35, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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Ztm4DAADWIPitoj17pLfekp580upKAABAPiL4raIPfMB8zu+f/9nqSgAAQD4i+K2iDRuk\ne+81g59hWF0NAADINwS/VbZnj/T//p905ozVlQAAgHxD8FtlH/yg5HAw3AsAAFYfwW+V3XijObv3\nO9+xuhIAAJBvCH4W2LNHGhyUfv1rqysBAAD5hOBngfvvN1+/+11r6wAAAPmF4GeB3/kd6ZZbGO4F\nAACri+BnAYfDHO49ccJc0BkAAGA1EPwscv/90uuvSydPWl0JAADIFwQ/i1RVSddcw7IuAABg9RD8\nLLJxo+T3s4sHAABYPQQ/C+3ZI734ovQv/2J1JQAAIB8Q/Cz0oQ+Zrwz3AgCA1UDws9BNN0k7d7Ks\nCwAAWB0EP4vt2SM984z0yitWVwIAAHIdwc9ie/aYkzu+9z2rKwEAALmO4Gcxr1e6+WaGewEAQOYR\n/CzmcJiTPH7wA+nSJaurAQAAuWzO4Dc8PKxHH31UTzzxxGrXk5fuv1969VXpRz+yuhIAAJDLUoLf\nwMCAysvL1dzcrH379unee++d98uPPvpoRovLFzU15oLODPcCAIBMSgl+LS0t2rdvn44dO6ZDhw5p\ncHBQPT09SdcMDAwoEAiopaVl1QrNZddcI1VXm8GPXTwAAECmrJ19wuPxqLe3N3G8f/9+tba2aufO\nnTp27Jh6e3sVjUYlST6fb/UqzXH33y9997vSCy9Id95pdTUAACAXpQQ/r9ebcnz+/PnE+ZKSEn32\ns59VY2OjXC7X6lSZB2bu4kHwAwAAmZAy1BsKhfTEE0/o4sWLiXOlpaVqbGzU0NCQzp07p0OHDhH6\n0uyWW6QdO9i+DQAAZE7KHb/R0VHt27dPDodDXq9XPp9PY2Nj6unp0ZYtW6yoMW/s2SMdPixNTEge\nj9XVAACAXJNyx6+mpkZHjhzR3r17de7cObW3t2toaEgFBQW699579eijj+rMmTOSlDLpAyuzZ480\nOSl9//tWVwIAAHKRwzCS55EODw+rrKwscRyJRBQOh/X4449reHg4+csOhyYnJ1en0gyorKyUJJ08\nedLSOuKmpqSbbjJn+H7zm1ZXAwAAskk6ckvKHb+ZoU8yJ3c0NzdraGhIU1NTOn78uA4dOqTi4mIZ\nrD2SVk6nOcnj+9+XLl+2uhoAAJBrlrxlm8/nU3t7u0ZGRnTo0KFM1JTX7r9fikalH//Y6koAAECu\nWfZevbFYTB//+MfTWQsk+XzS+vXs4gEAANIvZVZva2urYrHYgl8cHR2V1+vVe97znowUlq82b5Yq\nK81lXdgRDwAApFNK8BsaGtLAwMCivnz+/HkdPnw47UXlu/vvlz79aensWen2262uBgAA5IqUoV6/\n368LFy5oampKU1NTam5u1sjISOI43k6fPq1gMGhFzTlv5i4eAAAA6ZIS/Jqbm1N25SguLk75otfr\nVUdHR+Yqy2PFxdK2bQQ/AACQXgtO7ohGo3OeHxsb08jISNoLWkhLS4s8Ho+cTqd27tyZsragZG47\nFwgEdPToUQUCgUUPXWeT3/996dQp6Te/sboSAACQKxYMfi6XSw899JDGx8clSRcvXlR/f7/Ky8vl\n8/kyXV+SYDAop9OpUCik9vZ2RSIRlZeXJ01GCYVCamxsVG9vrw4dOqTu7m7V19fbLvz94R+au3j8\nwz9YXQkAAMgVCwa/9vZ2TU1NqaSkRE6nU263W/X19ZKkzs7OjBcYNzo6qttvv12HDx9WdXW1Dh06\npL6+PklSV1dX4rqGhoakZw9dLpcCgYBaWlpWrdZ02LZN2rlT+tu/tboSAACQKxa1jl9nZ6fOnTun\nI0eOJALXxMTEnM/+ZUosFtPDDz+cdK6urk6SNDExIUkKh8OKxWKqqKhIus7r9SoSiSTuWtrFwYPS\nmTPSz35mdSUAACAXpAQ/j8ejhx56SE8++WTS+ZKSEjU3N6u9vT0RuFbT7K3kZooHvUgkIsmsdab4\ncfxzu/jYx6R167jrBwAA0iMl+PX29mpqakr79u1LhMAzZ85YUduCQqGQSktLtXfvXklKTDZxu91J\n13k8HknmcLGdFBaaa/r9/d+zdy8AAFi5lODn8/nU2dmpiYmJRAisrq7OyhB45MiRxHN+UmrgywUH\nD5oze7//fasrAQAAdnfVZ/xmh8Df/va38nq98ng8+uxnP2tpCGxpadEjjzyiHTt2JM4VFhZKSl2C\nJv4M4OwhYEkaHx+Xw+FIam1tbZkrfInuu0+64QaGewEAyDdtbW1J+eTUqVMrnq+wqMkdkhkC+/r6\nNDU1pd7eXp07d05er3dFf/hydXV16e67704M8cb5/X5J00EvLj7EO1e9RUVFMgwjqWVT8Fu3zlza\n5Tvfkc6ft7oaAACwWtra2pLyye7du1VUVLSi31x08JspFovpox/9qKamplb0hy9HKBSSw+FICX1j\nY2MqKyuT2+3W8ePHkz4bGhpSaWnpiv9lWeXgQenSJemxx6yuBAAA2Nmygt/g4GDS83TDw8NJiyhn\nSjgcVmdnpzwej0KhUKI1NTUlhnm7u7sVCoUS34lGo+rr61vVNQfTbccO6T3vYbgXAACszNrlfKmi\nokI1NTWJ47KyMnV3d6uhoSFthc0WiURUW1srh8ORsguH3+/Xli1bJJlr+01MTCgQCKiiokKDg4Pq\n6elRdXV1xmpbDQcPSv/lv0jPPSfddZfV1QAAADtaVvAbHR3Vk08+mRSmMr1vr9frXfTQckNDQ0ZD\nqBU+/nHp0CHzrl97u9XVAAAAO1pW8Dt06JDq6+vV3NysiooKGYah06dPp7s2zPCOd0gf/KD0d38n\nffGL0po1VlcEAADsZlnP+ElSX1+fjhw5oqmpKbnd7qT19JAZBw9KL70knThhdSUAAMCOFrzj193d\nrdHRUQWDwZRZsT6fTz6fL1O1YZY9eySPxxzu/b3fs7oaAABgNwve8QsGgzIMQ319fWptbV2NmjCP\nDRvM/Xv/8R+lWWtUAwAALGjBO36zJ1R0d3fL5/OpuLg4Y0VhfgcPSl/9qtTbKzU2Wl0NAACwkyU/\n49fQ0KBIJKInn3wyE/VgATt3msu5sKYfAABYqkXN6h0fH1ckEtHIyIhGR0d1/vx5hcNh9fT0pOyg\ngcxyOMy7fi0t0s9/Lr373VZXBAAA7GLBO34ej0clJSXat2+fOjs7NTg4KEmqr6/XT3/604wXiFSf\n+ITkdEpf/7rVlQAAADtZ8I5ffX29mpqaVFZWthr1YBFuvlmqrTWD35/9mRkCAQAAFrJgZGhtbSX0\nZaGDB6Vf/lL64Q+trgQAANjFgsFvvtm7sVhMY2NjaS8Ii/PhD0suF5M8AADA4qUM9ba2tioWiy34\nxdHRUXm9Xh0+fDgjheHqNm2S9u83t3D76lelzZutrggAAGS7lOA3NDSkgYGBRX35/PnzBD8LHTwo\ndXVJoZD0yU9aXQ0AAMh2KUO9fr9fFy5c0NTUlKamptTc3KyRkZHEcbydPn1awWDQiprxb+65R7r9\ndoZ7AQDA4qQEv+bmZrlcrqRzcz3n5/V61dHRkbnKsKD4mn6nTkk8bgkAABay4OSO6Dybwo6NjWlk\nZCTtBWFpDhwwAyBr+gEAgIUsGPxcLpceeughjY+PS5IuXryo/v5+lZeXy+fzZbo+LODWW6XqanO4\nd9a2ygAAAEkWDH7t7e2amppSSUmJnE6n3G636uvrJUmdnZ0ZLxAL++M/Nod6+/utrgQAAGQzh2EY\nxmIuHB0dVSgU0vnz57Vr1y7V1dVluraMq6yslCSdPHnS0jpWanJSKiuTXntNev55acMGqysCAADp\nlo7csuCWbXElJSVqbm5e9h+EzFmzRvqLv5D8fukrX5EOHbK6IgAAkI3Y5TVH+HzShz4kfeEL0iuv\nWF0NAADIRgS/HHL0qPT661Jbm9WVAACAbETwyyF33ik99JDU2Sk995zV1QAAgGxD8Msxn/+8dN11\n0sMPW10JAADINgS/HHP99dKf/In0ve9JP/iB1dUAAIBsQvDLQZ/6lFRaKv3X/ypduWJ1NQAAIFsQ\n/HLQhg1SR4f07LPS175mdTUAACBbEPxy1Ec+Ir3//eaw78WLVlcDAACyAcEvRzkc5qLOr7wiHT5s\ndTUAACAbEPxy2M6d0gMPSH/5l9L4uNXVAAAAqxH8ctyf/7nkdEqtrVZXAgAArEbwy3Hvepe5d+/j\nj0tPP211NQAAwEoEvzxw6JB0003SZz4jGYbV1QAAAKsQ/PLAdddJX/yi9JOfSI89ZnU1AADAKgS/\nPPHAA1JZmfms35tvWl0NAACwAsEvTzid0pe+JP3iF9KXv2x1NQAAwAoEvzxSVSV9+MPmsO/LL1td\nDQAAWG0EvzzT3i699prU1WV1JQAAYLUR/PLMHXdIfr/U0yNNTlpdDQAAWE0EvzzU0GA+63f8uNWV\nAACA1UTwy0Mf/rB0ww0M9wIAkG8Ifnlo/Xrpk5+UvvMd6Ve/sroaAACwWgh+eerBB81n/P76r62u\nBAAArBbbBb/R0VEFg0ENDAzM+XkoFFIgENDRo0cVCATmvS7f3X67VF0tdXdLU1NWVwMAAFbDWqsL\nWIqBgQEdO3ZM/f39uvfee1M+D4VCamxs1MTEhCQpFoupuLhYfX19qqmpWe1ys15Dg/Sxj0nhsFRb\na3U1AAAg02x1x6+mpkaPPPLIvJ83NDQoGAwmjl0ulwKBgFpaWlajPNv5yEekwkImeQAAkC9sFfwk\nyTCMOc+Hw2HFYjFVVFQknfd6vYpEIhofH1+F6uxlwwbpj/5I+va32ckDAIB8YLvgN59IJCJJKikp\nSTofP45/jmQNDdKVK9Lf/I3VlQAAgEzLmeA3MjIiSXK73UnnPR6PJHNSCFLdcYe0ezeTPAAAyAc5\nE/xmBz4sXkODNDI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"text": [ "" ] } ], "prompt_number": 35 }, { "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": 36, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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dBg8+aG09IiIiw6GQJ7IZBxwAzz8P++xjntWrr4dQyOqqREREtkwhT2QLvvMd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\n2WVmX92qKvjkk9juNRCFPBEREZEBXHq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"text": [ "" ] } ], "prompt_number": 36 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Filters" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You can define filters to select particles based on their quantities. Under the hood, this just calls the `numpy.where` function, but it makes your code much more readable. For example, to get stars that are 1-2 Gyr old:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "metfilt = pynbody.filt.BandPass('metal', 1e-3,1e-2)\n", "metfilt" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 37, "text": [ "BandPass('metal', 1.00e-03, 1.00e-02)" ] } ], "prompt_number": 37 }, { "cell_type": "code", "collapsed": false, "input": [ "disc = pynbody.filt.Disc('20 kpc', '1 kpc')\n", "h1[disc].s" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 38, "text": [ "" ] } ], "prompt_number": 38 }, { "cell_type": "code", "collapsed": false, "input": [ "h1.s[disc]['mass'].sum().in_units('1e10 Msol')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 39, "text": [ "SimArray(4.18613882677458, '1.00e+10 Msol')" ] } ], "prompt_number": 39 }, { "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[disc&metfilt]['mass'].sum().in_units('1e10 Msol')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 40, "text": [ "SimArray(0.47000260266959104, '1.00e+10 Msol')" ] } ], "prompt_number": 40 }, { "cell_type": "markdown", "metadata": {}, "source": [ "#Converting to other formats" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Often it's desirable to convert a Ramses output into some other format for post processing (running other halo finders, for example). This is quite easily achieved with pynbody, but the unit conversion can be tricky -- so we've created a few helper functions in `pynbody.analysis.ramses_util` to make this less painful: " ] }, { "cell_type": "code", "collapsed": false, "input": [ "pynbody.analysis.ramses_util.convert_to_tipsy_fullbox(s.filename)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stderr", "text": [ "Loading using backend \n", "RamsesSnap: loading hydro files" ] }, { "output_type": "stream", "stream": "stderr", "text": [ " done\n", "SimSnap: deriving array 1 3 5 7 9 11 13 15 17 19 21 23 25 29 31 27 2 4 6 8 10 12 14 16 18 20 22 24 26 30 32 28 63 61 39 53 43 37 41 33 35 45 47 55 49 59 57 51 64 62 40 54 44 38 42 34 36 46 48 56 50 60 58 52 95 93 83 81 79 71 85 65 67 73 75 69 77 89 87 91 96 94 84 82 80 72 86 66 68 74 76 70 78 90 88 92 127 121 113 117 109 103 115 97 99 105 107 101 111 123 119 125 128 122 114 118 110 104 116 98 100 106 108 102 112 124 120 126" ] }, { "output_type": "stream", "stream": "stderr", "text": [ " temp\n", "TipsySnap: writing main file as" ] }, { "output_type": "stream", "stream": "stderr", "text": [ " /zbox/data/roskar/cosmo/AMR/rad_fbk/std/output_00101_fullbox.tipsy\n", "TipsySnap: writing auxiliary arrays" ] }, { "output_type": "stream", "stream": "stderr", "text": [ "\n" ] } ], "prompt_number": 41 }, { "cell_type": "markdown", "metadata": {}, "source": [ "This also creates a .param file with requisite units information in order to inform pynbody about the units system. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If you don't want the full box for some reason (e.g. to speed up analysis) and only want to save a part of the simulation for quick-and-dirty post processing, you can do this with another function: " ] }, { "cell_type": "code", "collapsed": false, "input": [ "pynbody.analysis.ramses_util.convert_to_tipsy_simple(s.filename,pynbody.filt.Sphere('200 kpc'))" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stderr", "text": [ "Loading using backend \n", "RamsesSnap: loading hydro files" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "Finding halo velocity center...\n", "vcen=" ] }, { "output_type": "stream", "stream": "stdout", "text": [ " [ 0.00016491 -0.00013521 -0.00032374]\n", "Calculating angular momentum vector..." ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "Transforming simulation..." ] }, { "output_type": "stream", "stream": "stderr", "text": [ " done\n", "SimSnap: deriving array 1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 63 59 39 51 43 37 41 33 35 45 47 55 49 53 61 57 64 60 40 52 44 38 42 34 36 46 48 56 50 54 62 58 95 87 75 89 81 69 79 65 67 73 77 71 83 85 91 93 96 88 76 90 82 70 80 66 68 74 78 72 84 86 92 94 127 117 113 121 119 101 105 97 99 109 111 103 107 115 125 123 128 118 114 122 120 102 106 98 100 110 112 104 108 116 126 124" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "[ 2213.59814674 2996.23889034 1685.19782238 ..., 268515.38612534\n", " 261518.35324757 261736.69514807]" ] }, { "output_type": "stream", "stream": "stderr", "text": [ " temp\n", "SimSnap: deriving array" ] }, { "output_type": "stream", "stream": "stderr", "text": [ " temp\n", "TipsySnap: writing main file as" ] }, { "output_type": "stream", "stream": "stderr", "text": [ " output_00101.tipsy\n", "RamsesSnap: loading grav files" ] }, { "output_type": "stream", "stream": "stderr", "text": [ " done\n", "TipsySnap: writing auxiliary arrays 1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 63 59 43 49 39 37 41 33 35 45 47 57 53 51 61 55 64 60 44 50 40 38 42 34 36 46 48 58 54 52 62 56 95 87 73 81 77 69 85 65 67 79 75 89 83 91 93 71 96 88 74 82 78 70 86 66 68 80 76 90 84 92 94 72 127 117 111 115 113 101 119 97 99 105 109 123 107 125 121 103 128 118 112 116 114 102 120 98 100 106 110 124 108 126 122 104" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n" ] }, { "output_type": "stream", "stream": "stderr", "text": [ "\n" ] } ], "prompt_number": 43 }, { "cell_type": "markdown", "metadata": {}, "source": [ "The newly-generated output in tipsy format can now be used in the same way as the RAMSES output: " ] }, { "cell_type": "code", "collapsed": false, "input": [ "stipsy = pynbody.load('/zbox/data/roskar/cosmo/AMR/rad_fbk/std/output_00101_fullbox.tipsy')" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stderr", "text": [ "Loading using backend \n", "TipsySnap: loading /zbox/data/roskar/cosmo/AMR/rad_fbk/std/output_00101_fullbox.tipsy\n" ] } ], "prompt_number": 44 }, { "cell_type": "code", "collapsed": false, "input": [ "stipsy" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 45, "text": [ "" ] } ], "prompt_number": 45 }, { "cell_type": "code", "collapsed": false, "input": [ "len(stipsy.s),len(stipsy.g)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 46, "text": [ "(1243472, 14817745)" ] } ], "prompt_number": 46 }, { "cell_type": "code", "collapsed": false, "input": [ "stipsy.properties" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 47, "text": [ "{'a': 1.00001844594404,\n", " 'boxsize': Unit(\"2.00e+05 kpc a\"),\n", " 'h': 0.703969087746729,\n", " 'omegaL0': 0.728,\n", " 'omegaM0': 0.272,\n", " 'time': Unit(\"1.41e+01 s kpc km**-1\")}" ] } ], "prompt_number": 47 }, { "cell_type": "markdown", "metadata": {}, "source": [ "We have previously generated an Amiga Halo Finder halo catalogue for this snapshot -- so now we can load the halos and use the halo catalogue framework: " ] }, { "cell_type": "code", "collapsed": false, "input": [ "h = stipsy.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": [ " substructure..." ] }, { "output_type": "stream", "stream": "stdout", "text": [ " done!\n" ] } ], "prompt_number": 48 }, { "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": [ " [-0.02096087 -0.0040748 -0.01705168]\n" ] }, { "output_type": "stream", "stream": "stderr", "text": [ "TipsySnap: loading data from main file\n" ] } ], "prompt_number": 49 }, { "cell_type": "code", "collapsed": false, "input": [ "pynbody.plot.image(stipsy.d,width='100 Mpc',units='Msol kpc^-2',cmap=cm.Greys);" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stderr", "text": [ "SimSnap: deriving array rho\n", "Building 16 trees with leafsize=16" ] }, { "output_type": "stream", "stream": "stderr", "text": [ "\n", "Tree build done in 5.05 s" ] }, { "output_type": "stream", "stream": "stderr", "text": [ "\n", "Calculating SPH density\n", "SimSnap: deriving array" ] }, { "output_type": "stream", "stream": "stderr", "text": [ " smooth\n", "Smoothing with 32 nearest neighbours" ] }, { "output_type": "stream", "stream": "stderr", "text": [ "\n", "Smoothing done in 3.98s" ] }, { "output_type": "stream", "stream": "stderr", "text": [ "\n", "Density calculation done in 1.89 s" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "Rendering image on 16 threads...\n" ] }, { "output_type": "stream", "stream": "stderr", "text": [ "\n" ] }, { "metadata": {}, "output_type": "display_data", "png": 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2Pzo6wq1btxJD//TTT1Gv1/H8888DONeYKWw96Ezbm+PTGbHHJGhMit6P2oOu\ng+l0ir29PbRaLTSbTRwcHKDT6SRTNd9zQDkajXDv3j0cHx9ja2sLp6enyfVD9wzBGq0htVotWcsO\nDg5S3Eez2UyWk+3t7WTJUIosSV6maK6w/Gqq9zHKee77M/j41ecVdKgyoHEgDH6kxYTLaXkqIEGV\n7snAeqjS4fXX/1om5wUKKCNLgKcR8QwFARoT4u8/Tnpahfmj0hMPAm7evIl3330Xr7zyCv7qr/4K\nb7zxBl599dWl77311lv42c9+hqOjI7z88sv42c9+hm9+85vZ592np35yTgbVbGjuI/L3Q1CYBpku\ncFHwLbMERBNwNls8PEiDjKIJ7Pkow6MGopYA1UpyQMLr4iDHgQyFkwMsFTJa31KphFarheeeew7z\n+RxHR0fpfUaqa3l9nb+mxYBA+szL5fOlZ51OBwCSu4Ht2mq1kiZLoQUgCU7WjeWggKM1gZHxx8fH\n+PTTT/Hb3/42AYu7d++iXq8ngcGx0263Ua/XQ5M3SV0VDhD50bYFHrod2u02tra2MBgMUj0qlQq2\ntrbQ6/Vw7do1fP3rX8fOzg7q9Trm83kS5D4eR6MR7t69i3v37uH09DTFflSr1fT+eDzG5uYmtre3\nUa/X0ev1sLm5ibOzM3S73WQJuH79OgDgxRdfTKtIuDyRVinNOxqHEfm4j9pH57SOWR/fDrxc8+Y9\n9ifHA91Zn3zyCUajUVohsbOzg3a7veDKyglwdz9qvl7OZZp9ZAmIrmv76RhzAKDprOnLTU80CLh5\n8yZef/31FD3c7Xbx4osv4saNG4VA4I033sDe3h5u3ryJX/3qV3jrrbfwrW99Cw8ePEjM38mD85zI\nRDjhif51LbhqCaqVMX1gcdLkNH1gcSL6ZjC6AY0KPX3XTaXOFFkmBS5kvApUCBC8HZQZamyCgiAX\nZK7daLl9iWa1WkW73ca1a9eS75haJgFaUaQ382Zg3Gg0wsbGBra3t9FoNPC1r30N1WoVx8fHODw8\nTFHutVoNpVIJe3t72NnZSSBwa2srrVtneVXrU7dQv9/H3bt38fHHH+POnTvY2dlBrVbDdDpFt9tF\np9PBgwcP0jLFZ599Fvv7+wkIsN1V6DgzjiwCBJysf7l8vj9BuVxGvV5Hq9XC2dkZTk5OUn8DwO7u\nbto0CEDyx6uJmmlOp1MMh0NMJhN0Op0UC7Kzs4NWq5XSpbVma2srafqnp6eYTCbY3d1N1gcu09zZ\n2UG/30+F8vBpAAAgAElEQVSxCwyg87ESzRWnHJiOxh2/Of/VCqVzWa2EPs41KHQ0GmE0GuHw8BAf\nf/wxut0uSqVzN8LW1hb29/fRbDaTGygniHNCexk5INAxpPV1y0AOOOmY86WOV0Vr4HE5eqJBwA9/\n+EO8+eab6X+n08Frr72Gt956C7/85S/Ddz788EP8/b//9/Enf/InAIDvfOc7eOmll/CDH/wA77zz\nDv70T//0wjuuxaqQcQGoJmBulUstUvfP53I5TqScoGK6OTSuzJ/MyOMNNMJdtRxldJHQABaj+zUm\nIGKcTMu1ITepKjBxE6ybplUDo3ZNTX9zcxO1Wg3Xrl1LywKr1Sq2t7eTxu7+VNdimBd99RRANDuz\nvAx0Y/Q6/fvVahXj8RjtdhulUmlBULswYntVKpUECJ555hk0m80EBG7duoXZbHahrXUvBNc89Vo0\ndt0ypOPLBcnZ2dnC/gh0fdCUz/3/VfDp8raNjQ10Op3UxuVyGTs7O8nPDQCtVivlPRwO0el0sLu7\nm5YottttTKdTNJtNXLt2LbUN22N7e3shJkD7VesSkV/3GAGd15Hgc4Dt1j+m43uBsIx8djwe4/79\n+7h16xa2trYS0NEzG9Sq5/PKNf8cWFhG+r63jwMhrYODAF1GuwYBTxY9sSDgvffeQ7fbxSuvvLJw\n/eWXX8Y777yDjz76CC+88MKF97rdbgIApO9///sAkCwKEamGp0JNmbBOcgIBbrBCADAej9Nkpbkv\nZ0ZTrc0nYjTQVTCTSZOJqFnRmVukQamQcZ86ya0JLLe3j9bJNRG1Vug1rRPTcRBQq9VwdnaG69ev\nJw2NfmtqUw4CtJ82NjbQbrexu7sL4NwHT/O1Lpebz8/jO7rdLkajEZrNZhovrVYrgQjmpxoq66v7\n5lerVbz44ospsp5Bo+12O/ncn332WVSr1aSBU2MnReZpBajajvz2WBHvd/3PlQIcO6yTBn2qmZv9\nwT0guCS2Vquh0+mg3W6jWq1iPp+nvqGljAGQzz//PMrlcmpzHhZFcMHliWwLxtqwTgqKfCypoPc6\nc75wPuasHAT5UT5qqdI0FDjoOCbYajabaVvtUqmUXB1aZp0LERD4vClK1+d5zvJ01RTxk8u8+zTS\nEwsC3n//fQDASy+9tHCd/99///0QBBT5/R1QkMjEldG6puoaiT4DIGmOkXAkc+GkogWhVqslX2hE\n6qJwwako3ZmiAwB9zwWDM1EFGl5vpu8T0bV7XmMdXJi5dqZaDhkqQU69Xken00lpV6vVJMT1YCG2\ns5afZvBnnnkGrVYrWWj4Ps87oAn36OgIh4eHyYfOPmMgF8tH4EFhQCGqFhoKtpOTEwyHw6SBXr9+\nHc8//zwODg5Qr9fRaDQW1uHn+kTvubDwsaFWHi6fdCsUBRXjBpgWhb+bglUjJhCghstNofgugRbT\npGVhf39/weLAvuJ+A1xdwHR87Ci5BcY1Xh/LOj406FGtXm721rS1Hbg7plttgIdgvF6v4/r169jb\n20uxGGzfHOh2+jyAgCsUPr40j6jtfP8Lb+c1ffnpiQUBH3zwAQBgZ2dn4fre3h6Ac7P/qnTz5k18\n4xvfwPe+973wvoIA1Qp4z7Uv+j0pFHQyqTuAzEGDx46Pj/HJJ5+g1+uhVqvhhRdewDPPPLMAQiJN\nusgy4JYGFfRMg9cdHESxA/o7Agy5LU71Hddqi55Xi4v3CV0CfIaaeG5rX9XiNKK/XC4nVwoD/Lh0\nj0KHAorLCbe3tzGZTJKmrgJL6+aChWBlb28vHZpD4NDpdHDt2rUkRJm/9iVJ/zuz9jaNAAPL5wGu\nNEnTp99qtRa0UwW46mpgHeg+qFarC24ZdSmptYSWFFpmNjY2kjuN6Sm483FC8tUP3gdsEz7nQk7b\n1EGRWgJU8LHNRqNRsn7QesFlpB7lr3s2bG9v4+DgII0h1tFXsywTqrlnHBi60I9I+UIRyHK3AOf1\nVWvUV53/k0ZPLAhw4f9Z6Mc//jFu3LiRvR9ZAiJfNoUFBXwOIKiQpIVgMBikQ1Lu3r2btsRl9Haz\n2bwwuCNB7OTX9HlF7l7fCDS4KTICE6qdRdoXtU7XGlzA60f7gGZ6N7EqGFKm7VoxhZ23oWphCmYY\nvMZI9kajkfb75+Y+aqVgvtrH7P8oNoH/KfBpIqbg1Lb2Mvt1raeCg6iN9R31hdMSwpUQak1xAKXm\nbQprmtQ5dnlNo92jkx917tBCw0BEWgF0YyIHLgoWOUe1vfTbn3Mg6++qlUPHCgE8V0TcvXsX4/EY\nBwcH2N3dTSdj6ocKgh6B3Wg0sLu7u7BTYJElwOe0ztfPYh2IrAJM05+LLAHavldJaxBwOXpiQcD+\n/j4ApOVhJPr13U2Qo7feegt//ud/jn/wD/5B9hlOemUGwEW/uTImFf7qj2dafI5+7uFwiKOjI9y9\nezed3jafnweqDYdDNBqNUPgqE1PNLApcZF1yjELvqRne6xoJJtZT03HtvUho6TNeHgVPvmNcJAy1\nXShgNC8FCcrY3XLA1QCdTidZBlqtFvr9floBAjw8BU8392Fe3gcadKZEbVe3C3ariwO+qK0cXHi7\nRG2vY4VjiP577x/Wgf2hGxlRuPOjB0OpFUA3wCFgYjoaB0MLj2+Y45YtN81H990yoIA1mkvq8nJg\nwP/D4TCdq9DtdnHnzp204dTZ2VmKg+DYIFAicCqVSmk3Rd1B0y1f3ocOmIuEdTTHnHLjpQhARkBA\nwe9VCWLnOZd992mkJxYEfPe738WPfvSjC8F8dAO8/PLLS9N455138A//4T/MugFIv/nNb9KaZdIf\n/dEf4Y/+6I8WNFplFMrM3BxIQaM70HH3sG63i9lslo5ZZVR6u91OAjDSwt2PSMbKcqh2lNO09Vt/\n5+IONC1e87T9fgQ+1FKSAwpaRwaO6cmK7iNWpq5M1eugjF81YuZXq9VSpDyXEypQqlQqSfPj+m7V\nmrXcam1Q4DGbzZKw0L0YtM1UMHkAVtSPDhT8vwsPb5ucEGJ9tG4KQBXM6HgnQPBATRfI7sbQNHSc\naPk1RkDHkFoItB0U7KjQd/+2L8Pk++PxGEdHR7h///7CYUiDwSAB+l6vd8EtRjCgK4N4jbEfkbUo\ncudF4F7v5Sw/ufcdSOTmoD6v7TSdTvGf//N/xk9/+tOF57761a+GZfgi6WkV5o9KTywI+OY3v4md\nnR385V/+Jb7zne+k67/61a/wjW98Ay8EQYFKN2/eRKlUugAAfv3rX+PFF19cuPb1r38df/3Xfx0i\nX2WCDOjjMioNIiIzczMoJzr9oQcHB2kv/HL5fOMaBqjN5/MLvlmSa3IqePTD93KbkCi5AImuK/go\n+hQBAYIMTVdJNWrm54xR0/agLA2OzNU5EoLsL/q1ubTr+Pg4BbhxW1s99McZqAd7KcjQVQh6ZLG2\nQ6T9K4jQsrspuwhERMBAr3uamifrogCKBzmpK0NBqQtzBaXaJlG/eLtG/cdvr3cOWLo1wN+N2nEy\nmaRNfh48eIDxeIx+v58sd7pyQU9Q9HZqtVoAkM4J0D04tB88fiYir5sCAX1mFQFfBBByIJ7lfP31\n1/Hmm2+mcf0v/+W/vHLXwJqW0xMLAgDgZz/7Gd566y38+Mc/BnDuGrhx4wZu3ryZnnnvvffwxhtv\n4ObNm2llwHvvvYef/vSnePPNNy88+/bbb4d5uebD38Ci8OESNgUBGszECcIoav7udDop0p1H2k4m\nk+QfVtStTEXLp8KGH97TCazBT6Qcg13GTFWAqNbnlglvxxywKCpPkZXB+8GtGHQLFGlIJNUqyZi5\nox031QEebgOt/l4Xqvy4NcLLr6DN2yfX9kWanr6r2m7ungOBqI8UAPiOfex33c3PrThRmkouMBzg\nLCMXgD7ufKyyPFpvjhV3DRD4U+ifnJzg6Ogo7RtRr9dTGtwwibsh7uzsJIDEpcacG5wrkbBUkKJl\n9d8R8IwAQA4IaP31eX+3CADoTp1sw6K+/iJpbQm4HD3RIOD73/8+Dg8P8dprr6Vtg//iL/5iwTIA\nAB999BEePHgA4Hzp4D/9p/8UpVIJv/jFLxae++53v5vdMRB4OLlU+9cJN5ud7wc+GAxSJHGpVEq+\nQT1eF8DCVrUEENz1rtfrYTgcYnNzE+12e+GceZIzNWUsCgL0WZZfA3m0/Eq5SR8JbC+DuiJYRg8G\n9PeL2j26pi4OFZQe/R2RWmk8uJHf6tKJAjyVgbsZW5+L3BEKDnJad8T8i8jbNIrejoCF9zvHh5ZT\n66MBfmqhUWuGjz2mEwVr+jyKBP8q4I3vuiac0455j3XmeNKVOzR1ax3YZ5zn5XIZzWYzCX9ad46O\njlAul/Hss8+m4F6de0Ug3OtaBAa0/bzO/lyUr1/PWQIicpDEdCJF43GQArxHefdppCcaBADnuwb+\n8Ic/zN7/J//knywsHXr55ZcvML1lpIwyYprK4Hq9Hh48eJDW+/Met2RV4UstUn2aZEIU1uXy+dau\nDJKKzODA4s5+OS1cNRvmqXXUb6ap9fZnozaIhJ4yWpbD848YNK9r+pEw1ffcCuDCkJHsvtUy+88F\nvQIB9ovW0wGAu4ic4Wo/55htZCXJ9bm/q+DGN3KJLAHe7yyzCnHv38i9odYnBYCRFUPr7qs1nBw8\nRrQMJGnb+HhwgOOHYxGca31orSuXyxiPxwnId7tdzOfzFBNQqVRS1L/uk6D8yJcasixFQlnr5WDH\n70VtlAMCyyjXzjonXblYWwK+/PTEg4DHRTk/Kq9R82fwGK0APKaWAWXq0ycDpeZALWo6naJWq6UI\neDIZMiLV0iJmoZNSg6VYDwqhSIioJg1g4Vm97n78SEi7wAYWAyaLGJEHMeZMw1oG7RcV7MrQlVnp\nfu+sq/pwmb63IftOtQ4FOppPxIiLtL5IMOuY83dVQ1QNzMGACpoiZs56ueDVAFPXthwAehxIDoRo\n2aM+LQIAy0Cpk+bPtiAgdKCq/wn+aN1QV9fe3l6K1zk9PU17ffR6Pezv72N/fx+7u7tJ+OsGSExf\ngZqOs2huR0AhZ/XwtooA5zJhGbWrjx8Cxo2Nh5tOXZXwX9Oj0RoErECR9uSaDTc3oemQQmQymeDe\nvXvY2NhIm4KQGeiKAVoACAImk0naHz0SNl4+L5t+HBSotqp18Husg67HJimTUuGg95X4HAWot6ky\nXT6jwnRZ3f0/GZL6flVrVysAcDHWg8KTpmGtX648Xr/ccy7k9Xlv46ieEdjhhwJFjyzW/QuWlZ99\nnVvu6UKJ+ev41I+WU7Vg18BzddZx4XRZQeNWAP7X9o/6WZc1EqhvbW2l4D/u8cHI/3a7jU6nk45c\nZv25vbKDjGguREBAyxRZDYosArn2i9JbpR21vWhBUZB32XiOz5OuIs8nmdYgYEUqYsL0BTKYj1oT\nl/dtbGzgb//2b9HtdnF2dpa2hI18xbrOH7gY7exMNConmZy+79qO1oNMX99xDcyFq77nsQpF5MLB\nAYym7eWMtGvvD/5mXdSCo3WMDj1xTWxjYyPFaWjZI9BDigCACxUHVM7o3afp/aBCzIWuWgB4XoUe\nbsP03e3h+Xg7e585oIi0eh2zvrWst89lhL8+l2snf06FfgTk9f0I8HCc6z4IwPn4Ojk5ScGhm5ub\nKS6AGwFVq1UAi8A0sjjkBL/P3xxFwt7ncg40L6MckFXg6G6e3Bz5omkNAi5HaxCwIuWElroBKGjm\n8zmOj4/R7/fTMqHRaAQAuH37NtrtNhqNxoKJVhm/M2lgcbOeiKnpczrxXVPMaSCuESm51uZLG3MM\nLafF+G8tA/97vEBOWBT5uaOYB6YRgYDIEqBukFysg6abswBE9eXvSNgqA3Xh6z5kNdH72m2CAM0r\nGhMKbKJ2dvDh49Z379O81CWhpIIjar9IKy6i6LkIvHsZNc9cEKdqvIz0B87HmO5o2G6301ziBkDl\ncjkdKR6lmwMCPm6UvI2iscRrGtsTtUvUjkXBdfoueQbrqzshXkY5+LxoFbBU9O7TSGsQ8AikTESF\nRaPRwGAwwN27dxd2ABwMBnjuuecwn5+foHZ4eJj2Vuf59MCi0HLfKvNSn60LBBV+ynAjYRVpGpzM\nygScac1mD4P6+FzEyFTw5Birly9yAeT8xlF/qDBjn/hz2j4ezaxlUX+xl3MZECgqp5fDtTyW32Mi\nvK7UKll2vhONC83Ty69xEK6hquCni0o3aPLASe13dytpOXysqEvGBWCRduz9UkS5+kd9WfQbwMJm\nP3QVcNMfLpMDHgIjPe1Q2yIHnFcFPVqmZeBJ55b3h5Ja36Kxr5YmrYMKfFpKPotA/v+Nbt68iV//\n+tfY2dnBr371K7z99tuFK9EeJ61BwIqUG8yujZZK51uBDofDtANgt9vFM888g42NDUynUxweHqJa\nraad6PQwFeal0dc6AZmHblYURRi7UOPvnHYaPavvsExaDhfYytRdiBdp0V6GSJtWAeUBjVEdfbc2\nFe48/pbp8lkXWJ6uti+f97Zyygl+B24OtKK6ahndjaEMX83/kUBlW2qgm4MBtpWCAAa+aawIg1Z1\nKR0BCttV3QHe/woCtK8iALCqcIyeicYT/0eb9ESAw8eDtjuFXrVaXWh/zgXd5TIqV25M5EDQKuR1\n8HaJ8tQYD60jP7QuuXuJ+bGuV2EFIBVZMa6Cjo6O8KMf/Qh/8zd/A+D8kLv/+B//Y9rf5qppDQJW\npGhCkYiOh8NhOhZ0Op3i9PQUx8fHAIC7d+8CAE5PT5PGMJlMQj+pTkAPVGIAIX+rxq8TXH3iri2u\nIohJXgZSbjMQd1s4E2N6XmfNl+XVMijDcTDhmlXE6FkWbvbCJV48lCYymWqbUkhSsLkmFPnV3coQ\n+aWjYL3IGsP0+I4uxeJGSB7Q6X2q4JIfBZsOOhXAUMjTGkDBR6sQr0UWDHUF6E6CbBPtH80/557y\neq1KUQBmbi5ouXLA2YEFN5QqlUoLKwGAh1YBAia+k4tRcCDgdV7FSlD0jo4lH4cOPvQZVzh8jEZx\nPI+brgp8FNGHH36YdqP94IMPcHBwcNVFSrQGASuQDyoysSjQh5r+cDhEpVLBgwcPUKvVcHBwgO3t\n7XQsK9f9UzNV9KxaWZQ3kEe71DQijTkHACImxDS0fp6/C7QoPTWrRxqn72rojFcZt5uteT/y/ZOU\nKZ2dnWEwGKDb7WI8HiftTJcFqsDW//QHa10dmHgfLWO6kcBWAOB5qTD24EBlyJqW7m3Ajy9182/W\ngcBRzfRaJwfCqiGyXhzf3DmTPnIHilpHFa4RQ89pxtH/aDxFz0TCy8sSUQTe2BcOZBUkRGMjoqie\n/mwEHqJ0PD8d41HbuytS400iywKwqHwU1euLoiLlZpV3c/Thhx/i7bffxmuvvYZXX331wv2bN2/i\n3XffTZvWvfHGG+m5nZ0dvP766/jWt76FH//4xzg8PPzSWAGANQhYmZSx++BXkyoFPAA0Gg3s7e1h\nZ2cnaV7cN4CDlQGFDDTi2QIq6EgREyZT12f8vk7wiKm5UHNNOwIDzkRcuGlbqYlRVz+ooGG+kebl\n2r2mxbw0X77nVpTJZJJ2dPSgOba/19XLr2XRNs1pPi78HQDk3A9MS5f5MR8KVQV2FOxRv3m9fJMf\n/03S60xfQZ2e7hfVS1fNcMvl7e3thS2HVQNlXXQFTGSF8raK/uee1/pFYCNnASjqI8/H5wyfZV2i\nDXX8E9VnGSDweRwJYO+jyHXkbaIAVEFoNMe0fB4I+qTSL37xC/zkJz/Bz3/+c/zBH/zBhfs3b97E\n66+/ng6z63a7ePHFF3Hjxo0EBH7yk5/gl7/8Jd5880382Z/92WMt/zJag4AVyTVVYFET5BKher2O\ndruN/f39ha1+K5UKJpNJCgb07UjpU3RBQ8ohagckqmW5ILgMMi8SHkyL2k7ETKIAKG03FVg5pqdl\n0bZRkKTlcdL85/N5OpOBx71yyRdwDthojVGfNsGDarkR43PNPWpvB0hRfyio4X9uSMO82OZR26lQ\nX9Z2/t9JgdbW1layMrF9uF5eXRHM7+zsDKPRCKenpzg5OUl15SmDBMzezzp+fNz471XpsoBBgUkE\nxIv+ax7+fjQ2IqBRVFZ9p2jMR985AOBLSKN4Ir7DA9LG43HaR8OtmHze4x8eF33eMQGvvvoq9vb2\n8POf/zy8/8Mf/hBvvvlm+t/pdPDaa6/hrbfewi9/+UsAwA9+8APcvHkTH3zwAX7wgx9gf38ff/qn\nf/q5lvNRaQ0CViSfjCqsy+XzlQGdTgcbGxvY399Hs9nE//k//wcA0mTp9/vp5DnuJ+AaaMQ4cpPd\nNUx9NkrPJ7oKGr4TCRAHJ5EmHLVRLkLd39M2diHpv71M2laRKZrvaGAbd3UrlUppT3eCAt5XYV8q\nne/5QC2YjI9AgWV05hlpd65t6XjSNiBznkwm6ZhaWjAApCVpfFfTIlDwXf60zRTkaN94HVhfnnuh\nK0MYGKhb7bLdS6VzK9fp6SlGoxE2NzfTf7V2RWXUttM+1M+jgIFVns8JarVYrZKHzjufL/ytAbRF\n2nuu7D6evA4+/txypz5+tSzpWNY0Cew4HkejEba2thZO0GQZNc3HTZcdE6tQrh7vvfceut0uXnnl\nlYXrL7/8Mt555x189NFHODw8xK9//Wu88MILeOGFF3Djxg288cYbaxDwpJEKOk4q3SRjY2MD9Xo9\nMcDr16+j1+vh448/xm9+85ukBTGwD3ioablmq4wuEqDKsCMgEGl/pBz617rlAI+WT++RQVJARQLc\nrzEeggzWGVoRU1Rh4K4QftTKwv9se+7RwGA2BnWSadHcrn1Qr9cTwyMYcADCMkSWj1xdvD5sDwUA\n0+kU/X4ft2/fThvRbG9vJ9M6gxuZlgosF/i8rr5/b7/IssC0aClhHnpioL7PcTGdTlNbDQYDTCaT\nhSOXaYGJrCs6ziNfvlI0bqNno/Ee3YvapKj/9Hf04bsEVQoAPK8I4FxWsLnwj0CA7pURWQY81mYy\nmSSr1GAwSHE1nEM6J2gpiIJUv0iKrDeXefey9P777wMAXnrppYXr/P/+++/jm9/8Jj788MN078UX\nX8Tu7u4jlfGLoDUIWJEiLUU3SOFa4HL5fGOQyWSC3d1dDAYDHB4eotfroVarpSODVUgDi4FoEQBw\nZsWJrROXH9faI8uCDngNfovABOuvbRH9Vj+vmnMj7UJNhX5YjVIUd+BWAZZb3RO+jIkAYHd3F81m\nE+12G4PBIJWL2z4TnNDkyTKPRqN0CBQFm/YFEO8I5+RAy60u2j4s02AwwJ07d9IKE25ZO5/PExBw\nsBVZHHLfRc9FlhcNDKNQI/E6181z7wzWpVqtotvtJoFSKpXS6XqRUNQ2zjH3SNMuei533bXy6Fqu\n7fSaziOdy9HYVWId+f15gIGoXFEeapnwPDjm2Yfkb+oiYLqVSiWBAh+Hj4u+CEtAjj744AMA58F/\nSnt7ewDOAwq/973v4e2338abb76Jb33rW/jggw9w48aNx1bGZbQGAStQxCyVOVDgUPskUfuv1Wrp\nRLF2u73gSyWT8OA6TUNJ0T2FPjVXlkNXFkSrDFxDiLT2VdqCZVd3A7XFiMk4c/XljdHkjTSYXBCg\nt40GMFEwkQGyT7i5S6/XQ6/XS3Xp9/vo9XoAkITc0dER6vV6YnSaN8vK+nu5vA0dZPF94GFE/enp\nKR48eICTkxM8ePAAR0dHAM7jF2azWXJBefsqQMzlH/WrC393IzBAULVEt4iwDWg9aTabaaks3WL3\n799Ht9tdOBujVqstzIloHKwyLnNtvSrl0ln1Pf52kKjzQPvf6+XzJpdH0TW/r0Dc39F5VyqVFnY1\n5DxiudxCoONbAwU1ruZxCuSrIBf+OVp22u1V0hoErEg6UVyTc6av5tN6vY7r169jMBikjUROT09T\nHIEzi5yZUH8rWGDkOIEAEbgGvTlDj6wBmn5Oo9SyRMBII//5cVO/apGebo5hRHEPrqUCWGgLBvNR\nENJ3TYHOaHem7QxQAzeZNoFCq9Va6LfIGsI297gLN48qCOR9PfyHp1IOh8MUlLW5uZmWmua0YxU6\nTq7Nuj8+ChxkGRUE5MYCy8S4BS5TPD4+TtaWra0tjEYjVKvVBKpyAYraxqto6RG54M21SdQ+0bPL\nrApsP7fssQy8Hq0UWMUSkJs/OUtiDnjqO2qJiIA0gAQEmb7OK10Cqq7Ox02rAo/bt2/jk08+Wbj2\n0UcfXSqv/f19AEgAncSVAu4m+DLSGgRcgiLmqcunODGo8VAQdzqdhQk5Ho8xGo0Wgp5Il2FofD6n\ntWhaZCrOkPRZFarKjFjOKJBL349MnZG26+4Cf1avRZqdMhbXmiaTSTI/U1DRb0lGpXkROLXbbZTL\n5WRm39raQqVSSYGClUol+bK5aY6Xj4xU+8iBV9RH7upg2+j2q4w5qdVqaLVaaLVa6RAqtUBo+3h7\nMh0HhWxHfut9dy1FdYr6iO0HPARQt27dQqvVws7OTgrIBJDAjcY2ePmjdtPneC2nLbsgLHpe04wE\ncPRcLg2OCe1XFdTR3PA+cZ5QVEef53xf0/A4JPIsjx3gJlT8TYGv8Tx6qiKtnpxX5ImPk5w/FNHz\nzz+P559/Pv3/v//3/+KFF164VH7f/e538aMf/SgJfRJjAF5++eVLpXcVtAYBK1KOGdEnWqlUMJ/P\nU5Q5lwwyMprCRwNnTk9PUSqV0lLCXH7LtPKI/Pki7QVYjAvQNHx3MAIDtYBEeaomrELD6xMxvRyz\nY5ou7CKTar/fT1aAer1+oYy+YyOfo6WAqze4n0ClUkG73UatVkvaugp9tg/f14A4F6QReFJGTKbL\nsbG9vb3gE282mykim2NPl+pFwtsFe3TftVgHCtqHLtyisUZwXKvV0Gg0ksn/2rVreO6551KZKVx0\nmaynVSQAtUyrAAG95s/kqOjesufdB58DuWot8vLmvpfl7RYhB42Rm02tAAS9ahVjDAotOgoCNC6o\nKFCsB60AACAASURBVNbni6TL9tVnoW9+85vY2dnBX/7lX+I73/lOuv6rX/0K3/jGNy4NKq6C1iBg\nRcoxDDItLoECHvr1uB8AJxLwcNvU6XSKk5OTlF4ONWs+EbPld47R63MqNHWjHZbZ0yUA0GA43XKW\njIDkYKVIgPB5fy9ifi7sVeMBHgYZ0mLBLZsHg0ESPKyjBjjRWqDggi4C1XQYP6C7PEbuFZZX24ba\nvO7Q5++p8FdmzDHEvqOWxcDGZrOZBKhqd0WC3oFJTuBGwpL9okJNhZv2TalUSisxDg4OMBqNcHJy\ngvF4nNqBMQM8TEvjAaL8lzH3aPworSIcvK7LaJnlTueeWolydXKA7PEm+s6q9XHrh6aneelHn9/a\n2lrw8etY0qOVXei7tfD/B4p49M9+9jO89dZbaRfAo6Mj3LhxAzdv3nzcxXskWoOAS1A0YXldGTo/\n1OQ4Wehf49IvLqPhfgHT6TQ74ZQhKAPWiafXcmZfXiMQ8LooE6LGTKHEdF2wqVDLtZvmq+WIgExO\nEKmGqRoohTvjAOgS6Ha7mE6naLVaABCuc2Z70XLDulH4Akh1Vl+ob5FLTYm/p9MpNjc3k6CjlYFt\npm3uPnaNU2DeFJaMJSEAKBL0Ctj8vIAIAET9EFEERCOqVCpotVppzB8dHeHo6CiBKK4gYLtr+ssE\n3SqAoIiWgYRIm9bfXsZVXAsOmtRS5kG6CrZ8fnk5I3C9rH2UZ6l1QstK5YZlYwyKz0UCUU3Tx9fj\nos+Sb67NfvGLX+CnP/0pSqUS3n33Xezs7CxsHfz9738fh4eHeO2119K2wX/xF3+xYBn4MtMaBKxI\nRQxRl+lxaRkFDIDE7Lh3PUGAnhtAbYhBUir0I4bA66pZqrB2Aa0CQuukZkE1BVLQUahSWG5ubi4c\nJ+sHwrBN3BqgWgcQb9+q/50h5bYgnU6nSbBrrIVrvHyWz3DpnfouXbPRE+FUgEZCX1dq9Hq9dJBU\ns9nE7u4udnd3Ua1WL6wKyWmCSl4uWjdc01LG7CBArQU5ABC1vWuQTkXCslR6uFSwXq+nkzQ7nQ6a\nzWba7IjPc74QbC0TqpfRiIvej+65VSGqW+67KE+dx14GtwC4lcXTy/VRNJ+cIreEPqdlUAGvK0Q4\nZ9SVUxQw+rjo88731VdfDc8LUPoyR/8vozUIWIGWMUTVSvmfwqZUKi2YO6kNqtmZG3CMx+P0nJvW\nmb+i7Ogef7sAVFJwwImuAAB4uKmQbxGqqw9UoLhrwIFHVJecX9o1LG1XfufM6IwFaLVaC8JP+4jv\n0hrAJU0UtupjV62fTI7/6SbR1Qg8n4ArQHT3vEajkbaN1rbzZZy6RzsDFQEsAJHc+FQNLtL+td2j\ncR4JhUgTjgQjyVdE0C3w3HPPYWdnB5ubmxeCAJU8bzVdM9+ctrdMC46Eb/Q7J9wjUHBZIJCbFzrn\nFfQqyC8CSF6uXBn8fQUEaiVUV5m7mdRaRZCg6V0lXYUF4kmmNQh4BMoxQBVi1AqpLetWqfQv0xzP\nie07eEXBejmhqWXywC6W0Zmd+q6ZvzIJFXSq/euucVpG1XC0rO7T1zq5u0LLqkzRGTG1eu0P+vqn\n02lamsb7dLswXx5u0+/3F3zYDLQjgIgEs35o1SGI0yWK2rb9fh/VajWZ8jke1A0BPIxbIKhgu+v+\n7AQ02rbuAuDvojiBaFz77xwY0L7SeBJ9TgUFx3u9Xl+4XwQClTywrkjYuoD2e8ve13dzlgC9H+WT\nS4vkIJ51VG2a/31zqqLyrwIElBxge1qR+V/z4X3tU09jTV9uWoOAFalocqmwc3+5B/PR9K8mbl2/\nHmnlmod/ItRbpO3pfSUyWQo7YFHjZvAdn/EgoojxRvk4YNLn9b4HJ+k78/k8mfMp4GlRoRuG0f3s\nA2r6Kkh1XwUKcwpfrvag4FTtn8sGNbZD1/GzvXStf71eT/dns1kCGtysiMzfYxsUmKmPVi0yGv/h\n2r8DgajNfWxElBv7zvwduGnfUYDodrJe7iIgsIrgLip3TmhHmv6qaefS0Tz9v8bueL4qlHUJ8bLN\ndy4r/JnHKqR9xHGq1z29R+mnz4uK2miVd59GWoOAS1AOeav/mYFcjUYjTRgGzpCR8yQ1TY8gQIMK\n9b5HTiszWcZ4IlO8T2A1idP0z2BGaqlqYs4FBHq5cyAgV1atj5pL9T11oaiLYjgc4uOPP07l5fK6\nUunhemYKTpqk1Q/tTJjfBDuMP+j3++lIYhf6BCAU/s40NzY2krWClgZaDVTwq7WBdVZQxnHm/uUi\nRvaoZtpl70VtpkDWV55wrrBPdFzpc1H+RSb6VevhwqroXbcGRMI2Zw2I/jMNtWowDZ1/2mac5xoI\n7Naxz0I+v/SagnxXDtRq4e9dpUB9WoX5o9IaBFyCIgYQgQBGRXNNOd8jQ6cwcI2U2qv6sPmcmuEi\nU2KRWc/vRWY+3iNznkwmqFQqC+voKTx9TXoOHJHUZLhMo9RnVOiRGOHPttrc3EyR5zyydjAYJK2Z\nmra6BmiNYdwAgAQK9HAb7RcNKBwOh+lIYrok1ApE4jprN9VrfVkfuiZGo9GCBYLjh0CBwKJSqaDR\naCzsbVBEkSBbJrSK+mnZfQIA3c1S25/9oyAgClYsys+F6GXqUmROz1EEBFYReFEZfd4RnKqVRy1t\nCtwdwHvaRWX3532+6X2PSSEpv4vej4D746R1TMDlaA0CViQ3o+rkV3MZGTK1NE5o919zoGqkuWom\ns9ksCRQNBlINQgWwMqiIKUURyZGJeD6fL2x+5MsDNbgxAgHRf9WElzEMZ0TahsDDrYH5fzKZ4PDw\nELdv38bR0VFaKcD61ev1pFETUDEmg7v+sb90qZO6ZSikeaKfm76Zly41pEuhXC6naH6CDA3co+Y3\nGo1wfHyMfr+P+Xyegkk1LmE8Hqf6c3yxrzToMWrbywjLyzDvyBpE4aXbzhJIKhjScZQLZGUfRJTT\nwIvu+fiKgMdlyYV79J3Lg/99jwoFAK48rAKmVy23p6X9qStfdN5xWSfT8CWurM+angxag4BLkAMA\nnzxk7kpqUqNGFwUAcZK5pu9arN5XYFDkm4/+O4jQ+8qQVGNVsBP5cKM0XQC5MHKzI++T8Xv0PxkR\nrRWDwSC1Xa/Xw/3799Hr9dIhO81mM5nxAaSja5kvmZWap4HFcwgIANQqUq1W0W630wlq7CffC4Bm\nexd+agonCOChRWxnLhmldYKxB8PhMB3Jy3X4+lFBEQVq5VYXXFZz87GjQkUBpFuSfOWCxy14WSLL\nl+dPcuGfG3Mkli2XbqQ9R1RkYcmRKgQci3oipI75Uulh7AvHqOeVK5+D/Nx9EvsCQHJvEQCzvOwz\n5V8O9q/CEpBTglZ992mkNQhYkSKGp9+cGMAi01JGzAGqmqxeI+LnBGNUsEZZqyXAwUKRdsBJHQlr\nT4caLfNgGbT+OQBQZIrTMkZCg+VUbYR5AVjwmQPA6ekp7t+/n7Tnzc3NdFpdtVpNa9QB4Pj4GJ1O\nJ7kAGJNBpst2YPkZ4U8AwN0FVbhTW1cQw7RrtVrS4lUrIlAkCCiVSmkpKe/xHW4SRK2Lz6p7RTen\nooCIAKGOAwU/OYosBi5wcmPPtUPWR11JvsthBAJ0jl1WoOTK5ssXObZ1fkTttmo+PsaVIiGjQED7\nRNuPQpZAk7EDRWWL8i6qh1suHJgRDAAP41MUKGiZrxIEAGt3wGVpDQIegVRo+VI5YJFhkjHQvM+J\n4QySQED3s9f8NG23BDjjyWnmfNev6bcCDN3KWIOCXOgXWQFy7affai4medQx24d1pVBWrZfa+WQy\nWWBQNMVz+18Fbap5KcOl9UBXAihIUe1f/bSlUmkBBPh4UGHI8VMqnS+h63Q6aDQaAB4GNbZarbRB\n09nZWQo4pZvBYwy0HgrelGmr5WhVhrkqQ9e21H6M3ElRkGkEth+1LE6RG0fHoAfaPkr+l7EEkFyZ\nUHcc8HBbbOc3kfvkUUjrq8Cf45RziHnr8xq/5IG8j9IWnwc9rRr9o9IaBKxIzmQ5ITUqXM3nLlwp\nUBUwqAlQGX2RCTMn5JXh57T+CBTkyBmC1t2Ff8TEnRnkQI23K/PWfFknRtTTdK6b+DBwr9ls4pNP\nPsGnn36K6XSK7e3ttEkPffTKPF2r1oOFfLmeggAPlKT5Xpm4t7XWi/VREFCr1VL7MvCPu+qVy+V0\n0h7fZ1Cga9De1hxnkWtAy8bfPuaKxor3sWqv2ne+UZbue5CLLYnyzwmWnPbu2rmDFLcS6DheBWx4\n2irQ/bmIonEPLJ4lotYCf09Bea4tcte0XD5/1X3FXSrn83kKtNWycWz5pyjfL4q8LS777tNIaxCw\nIulE1yVjFBI+mYFFYayatU4QXiNTdEYdpasCRQGJM9FogkcaV45U2GlZIoHmGqULB7deeJvm8lX3\nB5f0uU9U+2I4HOL27du4desWBoMBnnvuufTeyclJsgpoPtpPtHhonAaBgZbFGeTW1taCUPY+8DbR\n7ZjL5YebBnH/AGXCulSQ1gc1rbvgitrdLQNRH7jgixh4kTDjt7u/tL08biI3HnWcrCqQc894nbys\nPp+0/4ooEvjentE7Xkcvt845tp3uc6H9exmhF80zL6e2ubsofGx5H6nrUNt5TV9uWoOAFUgHPQWu\nCgdG/gMXBYt+c8K4+6BcfnjAEAEBhRvzoSDIBUmxnCyDlmeZ4I+0cSfXjlhH1eaiNDUI0n3VynyZ\nZrTRDZ9Xwdtut1Eul3FycpKC9gCgXq9jY2MDX//611Gr1fC3f/u32N3dxTPPPIPhcIjZbIa9vb2F\npXxq4lRrjoILnn5HS02z2Uz9RIDCvFlfChR1TVCb0iArav0aBKhmcteu2Qa6MZWWRftRBbKDgsgS\nkKOcVh4JBn3GTctqAfBxWWQJWHbdy3oZQBONVS/Tsu+icnh+/oynR8uNAigVuquAk6Iy5Z71fgUe\nxgsxX/I+8iydE0xD5+xVAIF1TMDlaA0CViQ1c1Eg01+sy//I8HRpl/vuKNj5m8xZD+dRH/x4PE7p\nMUAoxwxWEeQRuYaUS8etAPztTJHvO2hRhqLvqraoACDKn6fzUfjz2nw+R6PRwN7eHs7OznBwcJAE\n7mAwwObmJnq9XhLY3j++bTP7nbsTkjnTT8q4gXK5jJ2dnWSq1/5jO7EttP+AhztIqhWA9aHW5xsI\n8Z4f46rt5TEWkc+W14sEsjJ3BwIOACJwqxaAaEVJEeXGd6R5a5kiDdff9bHtGry3RZRuLi1NJye4\nl81T4KIlMZeXp58rzzLKzX8CI65O4T0COy3DqlaJL5K+DGV4kmgNAlYkCgc/NIYgQAUZTWLRJAbO\n16RzUxhlnvP5fGE5GxE3JyO1UU4+InFH3TnG6BS95wygiOlEH39OtSpliB5noG6FSKDpdsZuMQDO\nLQAnJyfo9/tot9tJkHY6nbTpEQU9l9e5FkTB7paK8XiMXq+H0WiEer2OWq2Wtg/mSYS7u7sLdXcL\nie74xz4kQGE9CAI4RtQMzHYgiCAgcf+6CwO3APgnsuBEWrSmrc/o2HXBwforCIjSKaJlgl3LWjTO\ni8Cv/9bn1UqloDan4bMNtFxFc9Dva9s4kIva1+deDtz4b+9jz8P9+jxr4/T0NF1jnIC2kbudHjc5\nr73su08jrUHACkTNTq0A/K+T3hmD+zx5n0yRDMWPuB2NRgsbxVSr1bSMrFQqJf8zN+2ItG1OTl+y\noxPbGYeDAfftLmOykQDR6zo5NU2m4UF7bHc/tIf+8Xq9jk6ng9FohG63m9Yy7+7upn0EKGwJBnSf\nAOCia4Zlpa9/Op2i3W6nfQju3r0LANjd3U3BfJVKBf1+Py0/pAbvMQ1cZsWlfNPpFLdu3UrWAJaD\nrgYStX4CBBW8kVD0359FS4vGRmRRIHkfu/Yfpc1nVwEFufJF4Ed/e14+XiPhqdd1HkWaeq5c/lvz\nd4oEube/5p1LYxWtP6KcJQB4uF8A98Xg6gXyKD7LccvyPWpZ1vT4aA0CViQNFHPtvYjxqmDT/woE\n1OTMPGi+LpcfRp0DSBNwe3s7TVRnsq4ZqFDPaR2kIqtAEYPOaRX6nms1Dl60/GoZUauLB2JSu+cW\nvrqngLZ9u93G7u7uBcatrhm31qglg9aE27dvo9/v49atW7h27VoCbM1mE6VSKe1FQI098i+Xy2Wc\nnp7i1q1b+PTTT1GtVvHJJ5/g+eefx7Vr10IrEvPQ8uXiQ7QeOva8D4u040jDdoHoEeCR9qz7Afh4\ni4TzZ6UigezAU+eCxjMUARy3qriloKjdvHxRnzg4jWIBIsWiCPQUWQei/KN3GQPAoFruw6HAlG2h\ne1VchXb9tGr0j0prELACuQatAkjN16r5uBVAkbGb9LnmndHtw+EwTbqNjY3kBuCE1KVuwEOBQDCg\n0fzMM7IAAMVCYRUUv4qJUe9rO0Rajl6nC0CBgB7TS02Ez9LnTg0eAFqtFr7yla9gd3c3rbH3PPr9\n/kK7qrDQbX7p/z85OUkfWgwA4P79+6jX6/j617+ORqORjjRWZsgynpycYGNjA1/5yleSS6Df72M4\nHKJer2M2myVti5YflpEHCLk2WCQoIsER9fmyfo76OGflUbdNTji78LoMReUoErw5MMs5uQwIRGkD\n+R0NV6lXzkKiwF0tcgpsc2BF2+Iy5IBCxwvPQ+H/Wq2Ger1+wfSufX9VtAYBl6M1CLgkcZDr7oBE\nwRz8vhbamaA+p8cOTyYT3Lt3D6enp2g2m8l0rRvaUIgwfQALG+B4FDawuEmKHsajQpl1uYxQiBhk\nUbt5G+bSVDeLr5DwjZRYV5riB4PBwrkNrVYLe3t7aDabC0sDFchxT35tMy0r27fdbqPX62E8HuP0\n9BS9Xi8dJrS3t4d2u522K26329jb20ub/XDXP/r9r1+/jul0iqOjo9QP0+kU/X4f9Xod1Wo1neCo\nB+5wFcmy/ooA6CrCSJ/LCRi3prhWrGVTsBoJGc3/MpQTcAoE/NkoDx0LOV+2jhV/nkDHtfWiskZC\nX9Ol4GfcCffDoGLAYDy1SKjFKVfHKP+oT5iXLlPU8ctycF6otUDzuwog8FkAyNMKHtYg4JKkTFVN\ngM70NMrdGSu/S6VSYuxnZ2fodru4f/9+Omq2VCqh0WgkIUitUEEH/d4sG0/Dazabad26Rro7M3CN\ncpmvUe+paVSZgb8f3YuYtD7P6wQu0c6MLMPm5mbS8gm6+BzbQAPTFByVSiXs7OwsrMOnG4Lv0QLA\n2Azg3G9PRv3pp5+mvQIAoN1uo9/vJ4ZJBqpLHMkkaQFgLEO3200BjexLggACAu4v4JH9LL//1+sR\n6dj15yIgsIxZRgDEy+LPrkqraLeRFlw0Pv2+Breptq3CLtLCi2IEojponpH2zz37eVYEt6RuNBoL\nMSKrzj2/zm8HAOw33cmUvEdBaQ5MXKUVYE2XpzUIWJGcqfnkdybqDBC4qOlquvR3M0iMk61SqSzs\nE6BHshI4UPhz4lIg6przSMOJmHGOQTpR8Gu6OSZfpCX58zmLAt/3qHsyRQKnRqORNHYA2NnZQavV\nWljTTOCgYIDBgiwvBfaDBw9w586dpPns7OwkYX90dITf/va3F8BQqXS+lLPX66XNfoDzrYBVuDAu\n5MGDB8m1MRgMcHx8jN/93d9Fo9FArVZbGE/A4vnyOa3X4z/UZxtpbj5mHYhF/VUk7HJCJtfvlwUD\nLNtl3smBEdX0PW1+tA082FbTygGBSBC7JY3fuhSZ44EgoNlsXlBCtPyaTlT3ZW2h80yvz2azBetn\nru2cB14FXVW+TyqtQcAlKPL95ZhnESnSJrqu1+tp33hqoe12O+0PT82AZmEAGAwGaY8C+o9LpRK2\nt7exvb29cOKYI3Sd7MpU9D5Q7PN3hqMMM2L8rgFFeURtS4EMPHRtKBjjJj2VSgXNZhOdTgc7Ozso\nlc4tKa1WKx23y82Ftre3006CTE9NoLocT88O2N/fx+7uLtrtNk5OTrC9vY1PPvkE0+kUe3t7mM/n\nGA6HKJVK6R0CuclkgkqlguPjY4zHYzQaDZyenuKjjz7CJ598gt/5nd/B7u4unn322WQh4nJEljMy\nPavGytgIH4sEAq7RqvsjWsMfaXvLyMfDqu9eRqi7Ra3oGaVcvTiWVIjrXh3uKnCwpeA8Gt9FYz1n\nDeBy4cFgkEAA98jQ/UUiq8QqtAycKWh0y4iWl6TxClG6j4Ocj1323aeR1iBgRcoFwPDeMu3J31Xm\nW6vVsLOzg16vlwIFCQK4iQyXvAFImigDyebzOfr9Ps7OztI6dh5+oxYC98/6/yIQ4/XJ+U49DfdV\nKoPMaS0OPFRYuaaxtbWVBD3jKJrN5sJ+/oxi5r7nNLMCWGhT3YaXDHZ/fx/D4RAPHjzAeDxGp9PB\n/v5+Clb8e3/v76Fer6PX66FSqSQLA/cQKJXOVwwQHHS7XXS7Xcznc5yenqb8e70eBoMBXnrpJTz7\n7LMpfoEWAroelPFzHwG2pQd/RmNW+077y8HFZQV4rv/8fQeSnwcVAdWoHLm6qVare3SwbZcBgajt\nfKxH5XOXg8YEaHAsy8X/uqFUZM3wttF2yFkC3LLhSo4DgcgldZnYoi+CnlZh/qi0BgGXpFUGfG6i\n6/saLDifz5MGy6hw7mrHeIFGo7HApEejUbIOTCYTnJyc4PT0FPP5HHt7e0mL0KAy+pWdWeX8iU46\n8YvMxNQcovScKWq6qs3mNFZ3P5TLZTQajbS0znfQo5mfwVVbW1spWI+CmrsHejAU27JSqaDdbuP4\n+DjFWlD4zmYz1Go1nJycpL47OztLhxyVSudBVdxsRccM++i5557DwcEBWq0W9vf30wmEuaj6XJtr\n+xAkONjzdxVUaP94+p8FCKxi9blMmhF4XDX9VYQkn1MBCFzcdVHT8KWgRXOgCGi7Vk/tH8CCC4t5\nRscKr9IW3s+XsST48r+orbQd1vTlpjUIuATpIC8yO63CiJQ5b2xspKNkqUVqAI7mx4lFCwABAf2H\n1HB1nTujzFXQ5TSgInJtxRmH+xGXUWQGVU1ImZoKKk2fLpVWq5X+e/6qUc3nD5f9UWjrFs/sGzL8\nSqWCTqeDer2Ofr+P+fx8a+JyuYxms4l+v592jKzVaphMJikegel0u10cHx9jNpthd3c3nWxIsMCl\nhHRpcGdCvg8sbhCUG19R3+g41baJgFgkzPy7SIDp7yj9CFCsYnFgWpqmg5ZIqHkaRRSZuH2+uyas\n7yg45ZJPfc/LtqzepdLDDas4hxkY6JtGabzHZcn7JbdMMjfuPB4qqsfjpnVg4uVoDQJWpJy5L/fs\nsnvKuDjhm81mMlt7vqrNz+cPTx8kA2JcQbPZTNoqhZ3m6eb0nLlQqUhYK+mqhWVtUZSmMxxtA2//\n+Xy+sOc+PxT4NJ2qgFNzuloN9KOrDKiNcXke82CcAUFBqVRK/v5y+fyoX+4AORqN0Ov1cHZ2llZv\n8BlucsQVB7QY0ILBfnJw5ONI21aDBlVIsOzeXkwnBwh9zBf16+PSAHNA4LJ5RwCA5ABUn8utuonG\nrqaTA7QK+nxVCWMOdEdKX0qrVgKvg9c3B6wiga9jIgKEOn+W8cYvmj5L/ldZ7qukNQi4BF1G8OcY\npkcWc7Jx0pdKpeQD1kmqy9z4PLVMbh6zv7+Pg4MDHBwcoFqtXjhlbtkSpqL6uZZOUyTfyzHfZRqa\nXte0XSPzcqqWxrYgc9UtnrnO2s38ymzZrvrN59SK4O4C5sPVB8PhMMVrUJifnp4mYHB0dITJZJLM\n/dxXQMHF7u4udnZ2FgQ4ya0j3jalUimtRIj6Ti0DuqlVtIyVbRQFiy7T+FhuHedR3+uYWcaAc0J+\nmcCPgELuflROtQCoWwB4OO50TLkAVU3ZV5F4XtF7BGx6doY+X9S+3m65eisVLYvU8mv5opioqwYC\na1qd1iDgkhRZAlZlZPqMTzSN+telbHxWD4tRxsB15J1OB51OB3t7e2mTIb5Dk7e6E5whLiu7a+v8\n8N3LRCkXMeIIBERAwrUQvcf2cwbIb+ahQpAfB0wKBNxUSouNWhiY92g0wp07d/B3f/d3aV0/AcJ4\nPE7p1Wo1tFotTCYTtFottNvtBYGix7QWaWQatOZ95eQWD48Z0HxcYOUAgM4B9oEKSO/vnHAqoiIt\nv8gKsOye1rkIeAKLEfM5oONpqAB1q4yXw/N0i00EBB3U5uZKUV5a9pyFwwMjNT83wa/CB74oWoOA\ny9EaBHwO5Ew5RzkmpJNahakyGE2fE69er+PatWvpwBkCAmXsquG66S/6H5WPzEAFdJEJNJd+1D4O\nKvxgJs9LGaK2l6alwpj7K7iG7+XxNF0T86hwPf2PAI4ug9lshuPj47RHAPcB+NrXvpZ2FqRvt1Q6\nX9JJ1wSwqI0tC9pTK0yRNu5amwIBB7Y5DT4nGLUs2u+uPWpaqwiIIiEZaasOznPvRuAmKpfXjxRp\n9Tmwo2CB7/I5vb4s3iNqQ2+fIhCzjLw9I2tcrp7aRpfp3zV9OWgNAlakooEf/V6Wlk9aZz6u2el7\nwDlT4EYy7XZ74b5qeEWWi4hpOUUm+lUneE6b1G8HAAoCXLNVoawCjc/ouu6zszMMh0P0+/0FYcc8\nIw3QhW2k5Wi5VFiSoVer1XQA1PXr11GpVPCb3/wGf/M3f4PxeIx2u439/f20ERDTpLWGxLbwdmO+\n3sa+hJIgSC0JHvcQCfFlLqOIPB3t70h4KTmQdCDiz0aCSvtD6xKN+ctYICJgRXJgqFp6lLePN2/r\nCFgr6fNeX5+Ty+qWE+SsQ+Tui+oStRGvXSWtLQGXozUIuAQVIe1lloBIE8oFwanQcb+sMhEASbtV\nBqL+Xubjptkcg9TrbgHwz2W0jiItSYW/+j69XUql0oVz6Z2BMo3xeJy24202m2kLXzev83kVWgy8\nyvWHMn9aAXQ1BtuaSz2/9rWvoV6vJ2HPTYo2NjbStsZqZtbYBpbBhYsCD90Ome/TCsLfWhf3JvT0\nXQAAIABJREFU57rgXwU0Rn1+WRCs/yNLgqbrQpT9xnZyTd0tG7weAVKvp5YpqiPLo3t9RPPLTeT6\njMdaRGB0WfmjcnvZLyOgtW11d1LNW8d35PIpAnyPg3LWoFXffRppDQJWoCLNvWiS5cx1ORTuE4vX\nI+1C/XYKJjxP3WgEeLiMzzUjXtP/zEP37Y9AS9En15aRBcD97t4u6rfX9LWc/M/NVGq12oLGrd8q\nSGje97Z3bS1H3q7tdjsFE56enqZAwU6nk/z+tAYwIJT1Z1rcLprC3cGCgxH9jjTYaBz5M7lrub6M\nwEKUBgFS9FyR4IjS55h2QKrC0q0dkVB00JEDyUX/Ffi5AM+BDV7zoEKvC4Gd9nk0vz0/Bx+RkC6q\nK5/zMvr7n0XgfpH0ZSzTl5nWIOASFGkKKjSA1fyYRQLVUXyUhjJTFZwqML0cHsi3Sj1dw34UIJCr\nvwt+CmOti8Y1eBCfamRaZtXsGYWvjFpBhsYgABfPQVeLgDP4CKwxzdns4aFGZ2dnaevns7OzdLLg\nfD5PuxnSikBy4a6ao2uYXiZ+tK99jOQo6rciMLcMGGkakXZaBK41DydqqQ5OozFRBAa0HN7OUf2L\n2sEDYyMFwOe11tvngKapADNqJx2zWh9vd+8Pv6b1zfGx3Lz3Nrlqi8CaVqc1CFiRckzPEXWRJcC/\nc5pPjvmpEAUWzfURc4vey6XvE10/ymhVQGkdc8I/YvhkeHo0sLsXHAB4HIBr6PzmiYulUmlBw1ZG\nTOHOZ3UbVmrcDPCLmLrXl32hdSqXy+k44I2NDRwcHCSGzm2gt7a2UK1Wk6uCQYzUcllGNdkrGNIA\nNbaJ76zIMvoRzKsK71VomQafE0I+F1Qg8npUBgeQ7psnqble70WCXfOKAMsq8yua2zlhq/VUi5i3\nAz8aD+Bz0OdlpOVHLh+dNxEwUSDidSgCRldNX8YyfZlpDQJWJBekLgSWMRb+J+kEi5YdRfe1HPqb\n/93PqOVyLcWZnqcffSKG68xG83QAELkAVNC6r1otAJ6elpfMs1R6GBuhgt7bh8KTH+4lcHZ2ls5o\n0KA678dIy6MLgunQ37+xsYHRaIRSqZT+U/gTbOhujvP5PNR0y+VyOoK4Xq8n4BAFLzogcPKAyiIh\nnhN6OSuA33PN3PPzezlLk+eh6et41vGjv6N2ypHP45wAjd7JAZdcPl5Pn3Mc07q6R9sseketEkzX\nN/SJyjGbPdyGXPPPAeBc4HFubDwuWoOAy9ETDwJu3ryJd999F6+88gr+6q/+Cm+88QZeffXVld79\n8MMP8fbbb+O1115b+k40+fSTmzBAMdNg4JYL5hzDiX57vsoMonrkJkmkvURaTo486MzfJ6NxF4Az\nQtf+I0bDNhuNRuh2u8msrubwXHR8qVRKAptp8bf6miMAQGDh2uhkMsF4PE4Cn/nwICAycrooeDSx\nnwvPtAgqhsNh2oGQOxOSofu7ShEwiMZSBG6jMeFCLmoXHyM+hnNjxwGAx4V4HdTK4XPAgYDHB+Tq\np3l4fl4Xz7uIormWA5XaZ75PiFoDtM0c5AOLbi6+R/DJZagRGOP4ZUCp7kuiVNSmXwYAsArQy737\nNNITDQJu3ryJ119/HYeHhwCAbreLF198ETdu3Fgq1H/xi1/gJz/5CX7+85/jD/7gD5bmRebvGlL0\nARaPunVSJkVzLyfrqib7iFnlmFYRmo/yUU3CGX1EEQjR324JiAAV81UA4BsB8XkKX27IUyqVsLe3\nl+7zcCDmybTJ2Fhe3QWQQtr311cNUoWUxzNMJpN0joAGMFLYl0qlFNjHcvgqDm3H2WyWjpGdzWbJ\nCqAWB28jFwwRCIjaX8ec9kfU/zpmisAi89RvFVIu+H08RfmTNObBNdsi4b9sPi2bX7l3i8gBkV7X\ncQ8sLl3VNioC5/o+x7Rula19SguUti+f58mag8EA8/k8HWCmm4xpGXIKhpatCPit6ctDTzQI+OEP\nf4g333wz/e90Onjttdfw1ltv4Ze//GXhu6+++ir29vbw85//fOX8fGC7xqH/1VdLymkragnQ55aV\nxZ91xlfEALVM/tu1imVpePto+VSbidpNBUVk/lcBp/lwT/75/HznvuFwuKD9qKVB24NCn0JZl+vp\nWQJ+noCXV8vC/GgNIAih8I9M9/rRdGiJ0C2PvR3cF14E9FRAKPjxvo8Yd5Fg9DYo+s6ND7+v/uci\nDR2IhWQEJle1AGh9Hbzk6ltU1yJSAK75aP7kH7llkLmylEqlNIaYplqtgIfAiUtpKfw5pxjESuCp\nY1+BSg6c5AKIHxct41NrWqQnFgS899576Ha7eOWVVxauv/zyy3jnnXfw0Ucf4YUXXihM4zID1DVa\n4KK/nZMlQvkkBwAUUlFwkzIvn3BRust+5573cmkdWb5V20qDFCNmoYxP68//yrgpJJ2ZOBPr9/vp\nBD9fr+910yWG1IpKpRImkwnK5fKFMxdUWGvUtgsWLR/zpm+f40HrpiDDtXINmNT2dzMvP+4ScEGm\nqxw0H/3NNtM25vuu+Ts4iPo4AoQ5oVAEYnJUlKYDLU3by74MbPhYjvLPXVs2Z7xcwEPQTEEcWU0c\nFNKVxfrSnaTuNI4BnnjJMX9ycoJ+v4/hcIjhcIjJZLJwhLmDAFcOdBxpf6xBwJNDTywIeP/99wEA\nL7300sJ1/n///feXgoBHIR3knExumnSt0w9o4bM0RzuAUCYeMdcIaGieuTLrJHZB4Yz4MkxZ2ySn\nzUXamqeb07L9mprCAeDevXsAgIODgwWtW3fRo/BXS4AKCmrclUol+epd8+e7DgjV/K/LvFRou0bt\nn/l8vhD5TzeCxk2MRqN0nzsTMgjRx0TUZ76XgQts/zgAWJW5RoLABYKOL44FBR65Omge0e/onZwg\nWkVA5YDPst+5tItAOceAA4IoSFT7RXeXLJfLySrGPqjVaumdarWK0WiUwOann36KwWCQrFh0Vbnr\ni6TgWgGB/79KAPCoIOBpBQ9PLAj44IMPAAA7OzsL1+kb/vDDDz/X/CLtJ0LBfFbNy8AiQGBaRUBA\nKULWnl5OO3Utk0LMhb2+r9p8BA4iIaJ+Zc0/x9BVs/C03ZrAMjEvbq/L5XWTyQSHh4fodru4fv06\ndnd3F9be6456erYCmS6Fd6lUSn78KB5By69tqkDFwU40TqI02S+0QtCvS5cAg7UYczCZTBa0xahc\nEaBTi4aXyQV2FIyWawt/hml4gNv/Y+9beuM8rrSf7ibZF5LNJilRiqzEEuVMBoPBYKxYAWYzi0jy\n9gNiWcl+IkpZTyIp+QFxlASY5Vii/8BYUhaztMXlzMaRPAiCQTCIJcdRFOvCSzf7TrL7WxBP6enD\nU283qbusAzS6+73U5VTVOc85daqK/V77Hcul/2Ppe5SkeD3w2y+tGG+8PGP5K5CyIDcJ9JI/7ONa\nFgUC7NNeRD+D+3g9lXoY/zI6Oor79++H3TT5LNt6fHw8vNtqtQKgYP+0Hkvb3v3a4xU9f/TCggCr\n/J8WWSFpg8Q4iOlaBrZaOoC/OsCzyBUAePPrTEsFqLrBmYcGHpKsRWzraeubxI+k6HLPw+Cl613z\nvCisy9DQEJrNJsbHx1Eul9FsNrF79+4gsHgeu7rgtc4sD/cE4LMxj4qWkUpal/O1Wq1grTMeQMts\nXbSWJxpMyH0LMplMOHWQiqHdbmN0dDS8pwDGllOnCtTatBau195UMnZqIIkvWtfYKhAFAhYQeErT\n60+DlEGvkwYBFrE8BgEFXp/WfPvVz/O62D5n68k5fe4wqXtfKICu1WpoNBr43//9X1QqFaytrWFq\nagqvv/56SD+fz6PRaCCfz6PZbAY5ZoGRBWzPE31VLfqd0gsLAqanpwEAKysrPde5UsBOEzwqecqf\nSFvXlVNoMqiGyipm5T9KedQ1qJaCWl8a6KYK35tH5rdueqNCx3PvqrKJARlSzFVn57hZB6sYAQTB\ntrGxeUBQPp8HsBkUyoN5tF62znaeOKbYdCrAs27V0tLI6nq9Ho5vZhtooJTywfvos+r+JbhIpVLB\nndtut0M/nJ6edi11q1DUA2K9UNoeaj1agJekxGz9Yn1MLXQLPEgxqzwpb69v2nL1e7/f9SQAoN/9\nxoMth7YX253yQzeN0mWstOar1WroD/V6PUT5j46OBkt+Y2MD5XIZtVoNtVoNnU4Hy8vLWFtbw+uv\nvx6mn1qtVgCeTJP9QONi1LjxpnKSANuTpFcgYHv02EFAuVzG/Pw8fvzjHz/upHvo+PHjOH/+fFD6\nJE4DHD58+LHldfv2bbz++us9186cOYN/+Zd/QbvdDgicg5NLzmgRqjJIcq8OSlaYqtJQ6xTYVJoe\nELAWog5yVXA2ktzmp8LWs6KtBWQHqJ17tDsJqkel2+0GEEDhl8/nsX//fnS73Z5of0/5KwgAti4v\nU57GFJfynEur2u02ms0mGo0GGo0GRkZGgpuVAtiCAOWVloO7Fip/2Y/Ikz//+c/I5/OYnp7G0NAQ\nVlZWwkmSNpbBUzIWCHikgj/mJfLSV/KAVkz52/Rjyl/zsQqH1xRManuqt8Erb5Kij933yj6I5yEG\nSCxws+XW8hMI1mo1rK6uAkCI9qcbf2VlBfV6HfV6PZxZUSwWAWwaUM1mE//5n/+J//f//h/++Z//\nOQTGauyLjkkF5/xmH37//ffx/vvv99Rz3759bv2fJL0CAdujRwIB8/PzuHnzZo81vri4iKtXrz5x\nEPDmm2+iVCrho48+wne/+91w/fr16zh06BAOPMagwP379+O//uu/eizAdruNRqMRFIAqXm6yYa06\nDwDYwDclqzRVeKqbjwNV3YIU8hropkvjRkZGeua9OS2hbu1Wq9Wzll53oLMC3LOoPcWvwlNBh92A\nh3wmj6wC5Xw5nyFAYF30ZL+Y0lVA0M8itWCA+asQJu9VgHogyNu9jd/6rlperFe328WePXuQTqdR\nLpfDPc796j4Idp5dwR4BAAGK1o1tqUBA27FfO6vS1bKwLR+FkgS85Zt6sch35cNOQHgMtOj3dsqf\nBGjsczZuxypp9j+C96WlJVQqFbRaLaysrCCbzeLu3bsBCN68eRPNZhOZTAbLy8u4d+8edu3aFcY7\ngS6NG522pHzR8XPmzBn86Ec/CuX64Q9/+NQVcszjMui7X0XaMQg4efIkrly50jM33+12US6XMTc3\n91gK14/m5+dx7tw5/OIXvwCwiWwvX76MK1euhGeuXbuG06dP48qVK3jzzTfddAYVBtrB1G2trnMK\nmyRLwrMqYxaEZ00xfwoDusapjOr1eoggLxQKYe26blmrgpnpqjBpNBrB7cz3mIbHk5ii1Xp4lrRO\nYdgoaPVm2GA2ArFarRaEvQIczvMT7Kji9ZSwVSCWz7bcBAGcZ+XmRBrZr0sMlT9WoHv81CklPkOQ\ns3fvXmxsbKBer2N5eRmZTAblcjmAA5uXbQMLBFTR2/7qBREqKAOwpU5aF93uVvuc1tWODUuDKH5t\nO7qx1cuh+cbqq/l7bZMEAJLIKnqr8O3YjnlJFEQqP2l01Ot1VKvV0MZc+7+8vIy7d++iVqthY2MD\n9+7dw549e5DJZLC4uIjXXnsNw8PDuHPnTui3wENvUKvVCmBbt7jmWPJA4HaA0St6trRjEDA1NRWE\n5fz8PE6dOgVgU+lyvv5J0zvvvIOlpSWcPHkybBv8wQcf9HgGAODzzz/H8vJyz7WFhQVcvHgRqVQK\nH374IUqlUnSXQc8i9zq+UkzIW8XvBf1pPvpthYKnUOmhSKVSYfMPuogzmQzGx8fDINYIYwBBsREE\nMDKdUxoa2Oa5/a1gsG5kb97fzpcrD8hDKlUqLXoJOAffaDRC4Fw2m8Xa2hpyuVwPMKBg84CA8tFr\nS20nTgEwDoDeiFTq4dkAY2NjGBsbC1sEx5aJ2jzUG2D7Es800M2ERkdHUS6Xe1YPWCVm81QXv/VG\n2WA6VU4WwMaetfEWCmC99DyFmPRb/yt4tmOAa+WZh8bmWP48iqJKet/KDEvKEw9oWje8tpv2KfZH\n4CFQzOfzYay32+0wXTQ0NIRKpYJqtYqhoSH83d/9HUZGRlCpVJDL5VAqlcJSWwvuOZaYt91hk3WK\n1fdp0VfVot8p7RgEfPvb33avHzt2LCjkp0GnTp0KACRWHm/e8+jRowOfMQBsnce1J81RQAMIh8NY\nwW+tfo2a9pA/8+W7/NaBpq5OonjOT3e7m0vOcrlc2AaUHoKhoaEgOOj6s7EA6gakAmZeygd+dC2+\nZxmogFMwoGmyXhQ4w8PDyOfzYa2zWtxU7FTMdsqFZbabnmiMgPVQqGJQJZlKpbasCOB91p/xC4VC\noWduVZcleoqZZAEgLT6WlQFi/KytreHrX/86VldX0W63sbq6iqmpqS19RHnK9PS+8kwVp1cuz1ti\nn7deAbVcPV4rX2zftv3cAy7qndFgTYJWps/+wX7skQdgbP28dwa5F7P6eU2nMfSjgb7KT/Z/bvQz\nMjKC6elpNJtNjI2NYXh4OExT5XI5TExMIJfLoVarYXl5GZ1OB4VCARMTE2g2m6jX6/j8888xPT2N\n3bt3I51OB9lBD4D2aeWP9Z5Z4PY06RUI2B7tGARcv34dN2/exPe//328++67ePvtt3H+/Hl89NFH\nuH79+uMs43NBKhSo/HQJGgO3AARFqwe8WEVvg5eUPGufv9VapWKi0KtWq6hUKlhcXES9Xg/Kq1Ao\nYGxsDKOjoz3WGoU/FRqFKPNQtK8ASCP2FQDE3Oz6bUEA+cfn1TJX1zpXB1BIsgzcNIdtASDc1yN5\nVZgrELCKifxhW9pyK6AgwNKzARiD4VlMSd4Ar409b4qWn3kR8LGcMSDpXbOeARvEaMvouXo1dkDT\nVCtRQY2mYftKzPq3ZbDeJCpMThMRkDPvft4ekjddQ970azvb5+1vBTNaR9v2th4KvpWn7IvDw8Nh\n2o9AtNvdXBmwZ8+eEBi4sbERVgPcv38fe/fuDc/TW1gqlYIXjdOGKsfsHhoK6JSHr0DAi0M7BgFz\nc3PBkn7vvfdw7NgxHDt2DADC98tEKhDUXasWGoWnHhGrIMBaL3YqwLOc9V3Ng9cZC0B0/+DBAzx4\n8CBsD6pzeJnM5il2XPZjYxjU4lCFxTryw7ppHVWpWsvSq7cX9GatL2tFqyBmnqOjo8hms2EOmHEM\nVpDrfxu3QP5ay4981t3XeI9KWMul3hHyexAAwLYkj/R/0rQS85qZmQnAU/uLCmprqSup0tYYCO2L\nSWVmuckL/e15Prw02f8sWLN9SRWluskJAnS1joJW5Yt+K0/UW0C+WP7FAJXnoYvxyvMEaPnsdADb\nhmUib+klm5qaQjabDdZ9Pp8PWwIPDQ1hfX0dd+7cwcbGBv74xz9i9+7deOONN3Dv3j3UajXs2rUL\n09PT2LNnD/bv3x88WYVCIQBaggT1cCqwUs+Y8uUVPf+0YxBw+PDhnnn2s2fP4tixY1haWnppQQC/\n1W1NIWMtW1WMgB8Vbz0BMWHgzZ9remtra7hz5w5u376NarXaA0ZyuRzy+TzGxsYwPj6O8fFxFAqF\nHsVvLTsbwKYgQK1/6wHwBL7nXvUsLS8Na63rHCnrl0ptbvXLswM4zZHNZsOOguqV8bwV2pbWKxDj\nj7pEtf2Yrip/BQWatwV9tm21z9ny0RVMZcBnVJHGvDK2T/NZVd5q2Xtjgc9oea0ngGXy6qPlUTe4\nWpbax/gc+7v2A29pqe17Oq50fClZ0MFrMavWKnvrVSJZi9/moWWz41zBkKavfYteyKGhIbRaLdTr\ndaRSKdRqNdTrdbRaLdRqNfz5z38OsVyZTAaHDh3CxMQEut3NZYP79+/HzMwMRkdHMTU1hUwmE6YQ\n2Ye1PZSPWj9vSulpURLQHuTdryI91n0CHufa/OeRLBBQIedZFVYIxlyZan3QGlEF5HkC9BqP1P3r\nX/8adgEjip+eng7WQrFYRLFYRKFQCOvRgd75POv2t14AVWg2+n0Q/iloUiGnis6CEAUAekKaKlUK\nNk4DEBjwMBT1KHixGlZ40JJSb4Stgyf0tPzpdHoL+FBgQ7LAUNvCAwJ8R79Zjna7HZ7XEwi1f/Hb\nWqHKR3Wne6SKvh8Q4H+th60721bT4RbJ2WzWjVvRfBWsEYQpiGCeMQBu+WoVul634NEqea99lO9c\nkaHva3osD8cXr7M/UF7QG5VKbU75FYvFoPTJ+1qthkwmg+npady5cwfFYhFjY2PY2NhAsVgM7bS+\nvo7x8XHs27evp79zyo39VoGvyiCVWwpynhUQeEWD0wu7Y+CzIitEqaT6kbp5PYvEE6gqgFQBckkg\nXZ/VahWpVCqc/w1szt3t2rULY2NjwRNQKBSQy+WQy+XCoLXWEIWNLinUE/UoUD3r3VNMNl218ik8\nbcyBWtMUmmopAuixhPVaKvVwNQGDmnRPBAUAHkDTtmFcAJfqsR6eItA6KkjyYio8Cz3mCbAgwPNY\n6H29p4JZ+2ySVZtObw2ci/XvmOJjX1YQAPibM6kXgMpRFQnBAMtFL4BnbQPo6ZPWS2XrYd9XZe55\nTfoBAM/r4aVtvS62nXRseECK6bOP5fN5TExMIJPJBIBUqVRQqVTQbDbR6XRCfMChQ4dCOoVCIewh\ncP/+/bCnAPsi5YXGAdjpGfKEfUb75bNSxq9AwPbosYKAW7du4eDBg48zyeeSVDAnUUyh23lf7xlN\nQw/0IAio1WqoVqthg6B2ux2i/un6HxkZQbPZ7Fmqxjk+FTzWfUfl73kAPGEYUxJWGKhi5/2Y9a9z\nn5qHAggFMSr0U6nUlgA964ZXgeWVj2no/KxtP9vG3lSA9QDEPCcKAGyZVBnEwJZe09UweoZBv3ay\nv0m2rT3rVd9Xa9UGWJJPAEK/5u6PGpeQTj/cbZMggOvVqUhjXhJe87w+9h193uuLsXdjdfe8B5Z3\nrJ+CJQBbgIDWScuiQJpAYGxsLFjv6+vrGBsbQ6PRQKlUCtNFMzMz2L17NyqVCkqlEkZGRrC0tLQF\nUHc6nQAucrmc673S/ujxyQNDr+j5pB2DgIWFBRw/fhyXLl3CD3/4QwDA8vIyLl68GDbveZnIc9nZ\n35asso+lp9esQKYS4nagOlA52Oi6zWQyKBaLeO2117B79250u93gDtRBa8tuLVmr/BUEKHl1jykT\nFWjevKudEuA7qhTVM8B6K3DhN93wdgrAWoW2fExf86HVaQPKrPveAgmdKol5OqzCUCDgKTV+6299\nh4ql0+mg2WwG4T8yMtJjXcfIU16ewrdkQYb1CGib6zNra2uo1+vodruo1+tBIdGD02q1sLq6Gva6\n6Ha7IdbD8tvrm/rR+zrtYZWVAjkFpYMoMztu9ZrlnXoCYsBBQbAHkLUvWLA3PDyMb33rW9i3bx/S\n6TRu376NWq2GVquFmZkZjI+Po1qtYmRkBJOTk+H8Ccb96FSa5a0HUrV9ef+VJ+DFoB2DgHPnzuHE\niRM9a+0PHz6M3/72t/jpT3+K995777EU8HkiO6BjYEAHrqJ7m4a+61kNscBBpq2u06mpKQwPD2N8\nfBx79+4N8/67du1Cu90OglUFj6bFb+vGtpvdxPjhld+z4u30iQo3/W/5w+s696tpqeXnTVUoWWXr\ntSMVhJ3btu1iBaKn7K0ysha9x9MkEEXlrxYkQQffu3v3bgBCrA9XM3jtZD0R5K/Gq+g9zzug5bfP\naz6c1mq32z1L17744gt0Oh2USiXk83mkUik8ePAAi4uL6HQ6GB4ext69e/HNb34zLINTi1jzsUrd\ntnEMEKmVbQGX5xWwfTym0K11bIGC/tf0bb9RwKNl0EDfdDodlq4y8G9oaAjVajV4ter1ejhng4Gz\nExMTKBQKPftc2PGovLV8sbx5FvQo4OOrCh52DAKOHTvmWvyzs7M4f/78SwcCPPceyev8HmCw7+sA\nt2DBxgoQ6VOI8h0Oeu5QNzY21jOfn8lkwrwe58Y1f7U6dcMfG9WugyvJ1ecJwCReWcWYxCvlmb6r\ndYi5ctV7EhNWWi9PaWs6tr30+Rj48BRHDAjos9Ya9QAWqdPphB0TNzY20Gg0kE6ng8AHesGTZ4la\n/npxBfa/V0dbRm8agB9ubdtqtfDnP/8Z9XodU1NTGBoawvLycgCAlUoFu3btwvj4eOj79FTFlK/t\nC17be89aV3zSu6ynjesgP/Vbn7dl9vqg7dse6XMEr8BDOcK1/3pMNffYIA8ZO6TBtIOQzfuVJ+DF\nosceGHjt2rUtx/u+DGQHb0zA83fMSvaElL6ja9LV2qNC1/leWgaeRaGWu7rFvTqlUg9359MgoCRr\nOsajmILyhGiSsuX7Klxi0yueq9SzYGiB2qV9Nm8LzvpZf7y3HV7ZgEyPf0pqBdodHNWybDabWFlZ\nweLiYgADFPjKPw+wespSvSHWWtW0PGBjLVv+ZxxLp9NBq9XCrVu38Pvf/x6Li4toNpvhnWq1iv37\n92NiYiK0HZe3qneKgNfzPFge2np67a7Peu/GKOYF8NLxPCSxctr+7LUdgC2Kn/JEYyx0gyvg4aqK\nTCYTAABjiwYhlsWOlVf04tAjnR3wwQcfhHgAYPMMgV/+8pcv5T4B/chziaoS9xQ7rTYOVp7cByDM\n48YGlmdJ03Knt4CC127kYSPkKWS45jhmnWs9rZDrJ/xilmuSVRWjJGvNU8IqZLXs/fhqrVpr/Wve\n3h4EnkLtp+j1ebYd8DDWwQMlNu2RkZEQIV6r1TA6OtoTP5Gk/LwyaZCflsELcFUeqVXI742NDVSr\nVSwuLgbL/g9/+AOWlpZQr9dD0NrY2BgmJiaQz+fR7W7GD4yMjIQVL7oRl3qrbFsNMh1nebmde17f\n8MaG9qVYYDDz8sCxTc/m713TPq9z+/QMkW/Aw+kiuywxVh+Pj3Z67pUn4MWgHYOAs2fP4t1338XZ\ns2cxNTWFmzdvAticDrh48eJjK+DzSJ5C9KwhKyB0B7Butxs29mi1Wkin06hWq6jX62gqnQxfAAAg\nAElEQVS329i1axcKhQKAhyjbrpXXPGw0OncFZHmo4HWez1v7n+RyZFms8IoJIv1t31GBba97/E4S\nlOoxsFaTKiKr2G1+KvzUyo7xQd/XGIqY8AbiR+na8tm4A26brGW376vX6Otf/zoqlUoAEewP6umJ\neS9ibaWu5qQ+b+uoYIPz0V9++SWazWbou9z5cXp6GiMjI3jttdeC258nNeZyOezbtw/FYrEnvkHB\nIPP3PGQeOOFHl+UNSrHxngSEtd8nAZJY3/PeUb57+yVoXjolpHEG3tjvB+i1vKQk2fG06BUI2B49\n0nTA5cuXcePGDVy7dg2Li4v4zne+g3feeedxle25ohgqJsXQslr9XOdMF12j0UC1Wg27/FWr1eAO\n5YE5VNK6UZDdOQ/o3eSHz3h79KubL5fLYXR0NLiLbdkp8GOu0EEFnycslZ8apR1LJylNzxtgAw1t\nQF4/d69nNduPKo6kAEpLMQ8BSVd+6NSOAh0qd6sAadmNjIxgdHS0RyHaqaQksOLxxpKCAQuM9Rnl\nmZ4B0e1uRvvPzs6iWq2iVquhVCphfX0dX/va1zAzM4N8Ph9WaIyMjIQdL7320bJ45VJeW/Co0fqD\nKBFNzwuqTHreXrN8tv3Me97Wi+1rwaNtKyX7nK4iGsS175XH/n7a9CgeiK8qeHjkmIB0Oo1Dhw7h\nrbfe2nKE78tEgygQID5QdXBSgXOv83q9jrt376JSqSCbzWJycjJET3OQ6hapetAPlZFu6UtFoHno\nt7r+Z2ZmUCgUgoeBddS5Qj0oSeujICcm0FRIKR94z1oiVol6IILTHQQ6upmRKjZr5XpTHEkCV+vJ\nOnnxBlqHJMGtaViyAV2qEGi96zVbJmvh2bZiHEGlUkGn0wk7SXpljF3Tcmm5kwCyjS3JZDa3oi0W\ni6G/jYyMoFgsotVqYXp6Ong+uNHT+Ph4T6AqgJ5d96zVb3lNBW9XefAZ2x8tqLQeEeWR3dY7yRNi\nZYf+964nAWILGrW/xqYmFLjasnogUYF0EnnK81GU8aPSV1WZ75R2DAJu3bqF48ePh2kAYJP5Fy5c\nwI9//OPHUrjnkQZFvGppecF8zWYTi4uLuH//PpaWlnDv3j00Gg1ks9kQ0JXP55FOp4MC50BttVrB\nOtJ50Zjls76+jnq9jpWVFdRqNaTTm0uIGGTFuVeCBIIMWl8UnrqpiG6eYwWNFWAaC6EfCjv+1rok\n8Xd9fR21Wi0oC+6bPoiC76f8WT8LADwXK9/TjV2sMPcEqCf8LTjguwRsFsyQrxZYETSk02msra2F\nPePz+Ty+9rWv4Q9/+ENYQkrvj64Y2S5500NaJ7vRVKfTQbFYxJ49ewIgZWAf729sbPSsU6frn/3K\nKm3bjrYcCgC88UFeWmXtpau/FWDFLHDNwyubBQYxQJXkYfA+eo/pKjDktwIWXrc7N3peAQ+8vFK+\nLybtGAScPn0aN2/exIULF3D06FGUSiXcuHEDly5dQqlU6gkYfFnJCgWP1MWoUem1Wg2Li4uoVCoo\nl8toNptIpVJh6VSz2USj0QgAQOf4vWA/lsEb9EyPUdnr6+toNBohLy4tzGQyYVMi7uDGLYZ13bwK\nQM1byRO2asGzDlRaqnRjSxKVp+Tfvn37QvBYkuUUs1b6kfJTgZ2WRYGPCkw7Hxsrl/JVFbK1orUc\nnldGy0Phzbl0tuHMzAzu3r2L6elprK2tufnGymmtYuUR7ysYYfnZ71m+YrGITCbTkz/5Re8VI9Q9\nz4v2PwuMPFDngT3WxSpo1sGLf9C8FXxZYDsoxRSrR0neGtsHYu9bcM16Kn/Va6LTdNst97MEBK/A\nyPZoxyDg2rVr+Pjjj3s2C5qdncWJEydw8uTJlxIExASg9wyfsy5GuvlXV1fRaDTCVqiM5k6n05ic\nnAQA3Lt3L1hL3W63xyKkK1yVAz0OOqhbrVa4Trd+rVYLJ+1VKhX85S9/wf79+5HL5QAgpK2BiHrs\ncIz6DT6CAHoaWP6NjY2whwEFrFW2fJ+fsbGxsKGJKh7bDupa9ayWmDcgVj8vAloVBA/woQdFFaDt\nGyTrsrZR75YPmqedrlDllslsHgS0urqK3bt3h8A6egBarRZSqYdbLHueCI8HnhKwoFB5o32m0+mE\nA2nYL7Xf8hkq45gCV36qV8lOq3jlj5HXTtp/+D8JAHht3K9v9et/nidBy5LkCbB1sHy0fcmCIFsX\nTS+pXbYDhh43vQIB26Mdg4CDBw/iyJEj7r2pqame/y/6mQJWwAFxgaEC2bPKAQT3dTabRbvdRqVS\nwYMHD3Dv3j1MT0/j/v37qNfryOfzPed503LiFAEHrQYEUugODQ0FJZROp5HP58O8MIPGGDiWTm+u\nJqBVzuN4bT35rEdJ1oAKa26BTC8EhU632xsBHwtk4oeKhPX38rdCz16LvWOFKZ8dBAToXvnKK1Xu\nSflrXWz9rPC1HhmCCJZvaGgI4+PjAVh2OpurA2ZmZsLxsjqfTiBglUdSefWajefw+KP3OAWg91gn\nglB93mtP63nxFJhtL488MB8rmwboWgBgx7/HO49HMYopfXvNApJ+9bPlsl4Qb/okVs4YKHwWNCig\nj737VaQdg4BLly7hww8/HMjiX1hYeGk8A0musCTXGRUAD0tJpVKYnJzEnTt3wqmAnc7mvgHc8GV6\nehrZbDbs5KUW1draWggcZLS0LlPjPgO0+KmUeJQoQQCAsK680+lgZGQkPE/FrCsKPMVgPSR2IFqh\n4iltz7VphVnM4uoXkW8tI/62Vp5tN1sfO6dqBanO32twXpKFFUtP+eTxSvlD74pun8uNn6anp8MJ\nc/TsAECj0eixAAFsOSTK44MlL5DRPuspRC/uw7q1rWfCtrudq7btrEBJr9tyeeVN4jkBQAww2nRi\nvLF8sB9bRks2JsQDAdo3vX5mAY73fMyT4F1/lh6AV7Qz2jEIuHDhAq5du4YLFy70dIalpSUAm4of\n2OwUt27deuFBgBWKnpVgLTG1znWQMWCrXq8H62x8fBytVguLi4soFAqYmJgISwPpYqYyZpxAo9EI\n7mLd7c9Gy+vZ8PQujI+PhwAy5s/n1ULT7YdjAi1J2FFI2X0MNLiO19QKtCBChZ3GFMTc7R4xP3pE\nYp4NzwOgn5h7XiPzqfRJVmkkCf2k+W218nO5XIjfaLVaYWWIeiRSqVSYBup2u6HvbGxsoFwuY3Fx\nEbOzsygUCqHv2qjwWKDmoGBB+7+2sz6rY0bno61ysu96Vi/BgVVwnrVulb8tt+W9BakWAHjtGOsv\nqnC960lAQMtglwNbK14VNcvl8QboDRK18kv5EQO0TFO/nzYlGQSvaCvtGAS8+eabQYD0IwKDF52s\nIvAsuphg0UHEyPx79+6FOXsqeAo1egeotPnRc9e5+Q+XUjES23oERkZGMDY2FrwN+Xw+LA9j9DX3\nJbBWoRecFuOJ9195pIFiyhsFB9YDoAJQBZ4XGMn8rOCy1qONeLZl5nNJYMCjVOrhro3qXvUUUL/5\ndh4NHYvByGQyYStg3U3QTkcovxn4CWy27+3bt1GtVrFnzx5MTk66yrGfpZ9k6dq62f+e8mSeqsjZ\nH+z48ix/73qSxR5r01g+MUDhpRcDRh5/veBPku3HCkZ0PChAZjoaKKqeLP14Uwg2PkXLwrSTPCvP\nkl6BgO3RjkHAD37wA5w5c2aguf4rV67sNJvngnQQWRBglRawVWiwU1IB0VIvFAoYGxtDt7sZ9Mft\nXbvdLkZHR4OipjLgMj5az6nUptXO3dbUA8APlTzfBRACADXGgFYi6zfo+QG2jlYAquCmVwHAFuWU\nZJHrtypVFYIqrJKUEd/T8lkBrPVKEvianye0gV5lr3nqPL72Kf6mlyZmbTE9TkGk02k0m02sra31\nxJJYC5zH9w4NDeFv//Zvsb6+juHh4dA3LGiL8THput6PWZKetci6U/moMvMAHfuUXkuymK2XLmla\nyv72wJy2p5Zff8f6ojUovHe0HF6fZ6CtfttA0W632+NViaUbu6besn6g+HkBALG4pUHe/SrSjkFA\nqVSKAoDf/OY3+N73vhf+nzhxYqfZPBdEC89TcDpYgK0AgL85OGmdM0CPR6Z2u90QmLW2thZc9Ovr\n6xgdHUWpVAqCndHdVABU9LolrFoAVBKjo6NBcPIkMT2wiKBALfXYwPCsE+WXBxyYrk6bWGFqBZ7+\np6BjHpbPts1seXndy9cKbBv1relYyzMGNpSH2j9sejo9wmBOOz/vvadl63a7qFQqaDab4X27RXC3\n2w0epnQ6HVZYjI2N9ZTPswB3QhYcDqokBrUyPeBGXitf7A6bOp6Tyq6/rXLU8mg7eUDASzPmCYg9\nz/86Jab10s2KYgBFx6wHsGNjhkDAlk3ziQGYV/T8045BwNWrV91NgcrlMs6ePdsDAl4GsgOd5FkO\nSeCAkfqTk5PhLHUqZAKBbDYbPAF0+9IyYtCeBSVUJNZyVwuc9/m+BoupwtNAOyvIPaEeE9jqguR1\ntfpjglZd/eSfnX+lIPSswxjZ51SQ2frZQCtrTfK9fpa6p6iYhlUkGkjordG2dWUa9AAxGJQ8ZLr6\nPMEB09PpI/JT20f5uRMBHwNQHq+UP7Eod+8dq+Bs3IGuSGEMjhcoZ8vsjW0vbwt6PXDo1TsW++GN\nLdsfPQBgwY+Cv1hfsiDYk28EVpZP9l2dBnuWYOAVENke7RgE/PznP8fc3ByKxWK49umnn+Lo0aMv\n3VHCMcWvc3BeRLv+1kE4NDSEiYmJMLffaDTQ7XbDjoETExNhjr5QKIRd8Ri9r256FQxJAWt0v9vd\n7vgOBSTLGrOuY0rBWko2Mt6mY5WgtVxUmOhSMTtfHBPk/cirn/KFLlYbg2ABgNbV1tGrc0xQ8xn+\nX1tb69kmN1ZWtuvY2BjS6XTPlA7z0zTS6XToW7pe37qMrTDvB64G4b/nzbD3yXfuXkkAG+ODBwSo\ntGy63AUzlXoYLBkrt1c2+7ztAzEQEAPLNn1PYVvL3yp/7ZeWL7G243/vrICYrLMAVMusZVUg8Kzo\nFQjYHu0YBJw/fx5nz57F+++/D2DzGOHTp0/j8OHD+P73v//YCvi8kA5ofjg4rZVIsopR72UymbAK\ngNcp9HO5XPhwvT+tNrWmOTDVmtelYqqQNTpfyQ5YWxcFC6qk9Fn9rXVluZPm6DwBZQWOJ6C8gMVB\nFVE/C415kp/c08AGXHkuc63voIrTA1dJ4M7mxdUcBIuqGDQNBpOyD3EKCei1SrXfEqh45Y+VyQI8\nPm/HggcIOp0OWq0Wms1miFdg3RSAxax3EsGixsdwTNj9Fyz4TAIqlleeJ4D37PueIuUzSfyKWf8a\nBGhBio01iQUIqlGQ5A2IkX2XeSe986TpFQjYHj3SUcIrKys4c+YMgM19A+bm5vD++++jXC4/tgI+\nL6RKjt/2lD7rCfAAgD6byWweoZrJZFCv18OcfTabRS6Xc5d7UZhZUMKtgfk886MQVWFIwa7panrW\nu6FCz4IA1on3PBduTPB5gtv+VyHDKRMAARwR2MSUglW2lmLvUehy34Zms9njLqdb3S6ftILQAqaY\nIrPl4LSPAiDlm6ZHpQ483HrXW8dOZUrL2saPcCmpjQmIWXZW8Wg++ozX97001BPAVTMaP+LlbfOx\nwEpXyWjf97wsXj/1PA2avvUE2Hft+Nf6atvacWMNDc/lb/ubLa8FJ4MCFY8fsTbjf1X8MeD4inZO\n5XIZExMTTyTtRzpFsFQq4ezZs3jrrbdw5cqVEAdw+fLlF35fACUqWUXldr44ZuUoyrf3aZlRKNld\nAAH0gAzAV1pra2tYWVlBtVpFKpUKkd6xvb/t+/qhotOVA9adbJUXAYXWNaY0rAJThegFICkAsN4J\nnc9WZeYJXF735oI9paVu6WaziXq9Hs53oFLhEj1VqklgRJW61lv5bOvONtE28ObM+a7yVb1UWleP\nX56FrOX3+JRk7dp+58VTeEpTeRHjqW0re03rSk+J9lEAW4C0bS9bLlv/WDCg966dZvOAqdcHtc94\nckCX1XpljXkCbHnVjW/5GAMnNg+dVlDg9rSt8qS2GOTdZ03z8/O4fv063nrrrR4d+tlnn+H06dP4\n5JNPHnueA4OAN954A7du3YoqlRMnTvQIt5cNBOhRvp61zOeSELMldSnbADh+81wBtV7UsqIHYGlp\nCZVKBcPDw8GNyqWAdsBr+krq4aDQVCBhBQx/q8DwAI/yxgIo5YVaNWrZ6NylpqdxDjHFZSnJvU5S\nEEBPwOrqavC0DA8Ph+WbzFf3+1cBrnEbll8kK6hjZVLeWoWg96xCUYvTCnstmwUHmobm5V235bNl\n4odnRmSz2WgsBVfAKHiJAYd+pMpSl0zyXj8AELPw7ZSApZhhYK9bPnnP2sh/lsuW2Sun1kG/vec0\nb+2nXn/x0tZnBhmLT4qeB2W+Ezpz5gw+/PBDnDx5Ep988gnef/99XLlyBQcOHMDhw4dx/fr1J5Lv\nwCDg6NGjWFpaGmhzoKtXrz5SoZ5HUoXvTQOQkjq/54bzBDaA4IrmscHqzlTUzRMB1WXNMwmstabR\n9HZZEYWlCiIreGydrGWk9VBhouX1AJNaEDElZ5UrQYAqrZgVbskTbvZdnYOlJ6BeryOVSoV5dPUG\nqOeGyl+tc3u4k7qRY5actRg9BaJpKs+1r7BcAEKdtF+Ql5x3Z9oWPNprFvR67WrTqNVqaLfbmJqa\ncgEmgOBp4cmZPMfC7g5pQY8HULSdtTxJSlfT8sCHZ21bHnjk9W3vGVs+zTNpvt0roy1n7Blbhph3\nwBvbNBisd8TKt6dFLyoIuHTpEq5fv44333wzXPvVr36F48eP4x//8R+fWL4Dg4C3334b77zzzsDP\nvkykCtFG4yYpe/1vlaSmqwE/jGDe2NgIAVJ65K6XD7eB5fO0UoFeZUbFpPOMVAAsjyeUY/Xkczrg\nrbJS92AsLRUWajF7gswKIqtU+5U7SfHrdbXCuEUzpwM2NjZCEJ6nSAjO7E5+VKRUuBaIxMphlZzy\nRi08lkP3HPDaQ+tGcJLL5XqsTC8uwII5bxmiLb/eo5XfaDSwtLQUNsDK5/NbngMQvGB03fPbKmz9\ntjyzSkzJ9iWto33O8t2rqy2D5mE9cJ4nLok8oNOvLEnv2vseLy0Q8fjOvqJgH/A9FU+LXlQQUCqV\negAAAPzkJz/B1atXnygfBwYBgwIAAD3HC78s5AkMID44rbKxFoi6m9vtdvgw9oBuaB42xA2CrNCn\noCZ44AmB09PTYTpAXXgU3rr9sM692vl/LTN/e2QtFauELC89nsWesffUQvHmjQf5besSE5x8zrN6\ntXzW6lePANuz1Wqh2+2Gtkwqd79rNg5DPQuel0H7HNufv0nk5draWk+dLGjge1TMtNC1TWJWNQHK\nl19+iXa7jdHRURw4cAC5XG4LsGGQo/b3fsrdKmGS9dop6FTrXMGsvqv8SAKd2kZeGZgX+4l9xsbg\naPpe8J+XbxINYqHbPmPv2aktL4/tgpxXtOkJmJ+fx6lTp3quv/POO090191HCgz8KhE7PJFvkvUT\nu6aCkVY/A8+45SsVSKvVQr1eD/EAehKgCkXuFpjNZjE+Po5CoRD2gqeyIUAgYGi1WkGwcZkYhS5B\nCMttN/dR696rrweWrAL1lIS1bm3a1tKyylfTTmqLGFnhTz5rECCf4f9sNttzXoMGRKnbvdvtot1u\no1arodPphN0fWf5YMCTLpd96Xz0sCgrZ1ryXTqd7AlvZ76jUU6nNYNKRkZHwX5UU68P+yfx0Eypb\nRv1v+3+j0UC1WsXevXuRzWZDfurV4ZkY5KuuwmCa1spOancbv0MeJgF722/5DmNz7JJDSzHAQjCm\n00TsW7raheNE+3sSaOyn2C2wte/avmYDSnlN0/AA/bOkJG/NIO8+Szpx4gRu3LiBhYWFLYb0iRMn\n8NFHHz2RfF+BgAFIhe4g6NYbnIqg1RKgcmg0GmHQbWxsoFaroVarhS2EC4VCAAHWSisWi5iZmUGz\n2QyeAO4i12q1UKlUeubu2u12OMSIglYj7VlGrTvQ6xL2LK5+yl95Y5V+PwHlCX/L637BWjbtpLak\nsOdpfaOjo0Hwk8d6cJONp2CsBuezAaBSqaDb3Tz6mUtDrZU7aNlZX+alLnNgs/0ajQZqtRrGx8fD\nc6rQ1aJnQCmDQXUungqLypigUS1iLZ8H+limjY0N5HI5TE5OIpfLoVgs9ig+5UU+n9+iBJmOKiob\nu+Lxj/XWfu0FSfJZHaP6jm7J3O12twTr2j6k+TNNemHIV/WgWA+SnWdP6h8xD8Egfd4DcFouWw81\niB7HFtOPk561Mn8UOnz4cM9/XRp47NixJ5KnCwLK5TLm5+d7tgX+1a9+hU8++QTT09M4d+4cDhw4\n8EQK9LySWl2xgKYkIeQpTLsOnVaFegnoCfAsYAqIiYkJpFIp1Go1AOjZFrbdbmNpaQmrq6thumF4\neBi7d+8OexHoPvUc8OomZnkVBNB607pagZwEBNTiThJaHo/VgqISG1SR9msnFXz0BHB/fSo/nrpo\nz2tgXbm0sFKpoF6vh7SXl5eRTqcxMTHRs3lTLLjRU6oxC04tPYIBgjxdYqj9kM8xf1sGAtJOpxNA\nJfuLbUdradprVBpcWZHP5wOgYPktiFOw6bWTVdpJoNN6DDxlyDGpIEl30iRYYjCoWsUW0Nk8rBeG\n8Q7W08ClsOS13kvq04MCanst5gGwFr+n6D0AEAMiT5NeZBBg6b333sMvfvGLJ5qHCwImJiZw9uzZ\nAALeeOMNAMC5c+dw8OBB/OIXv8CZM2eeaMTi80aqIGNWh+eSVOuFQpdWlSoCKlUAPdZGKpVCLpcL\npwTaOXBVVFSMujd6q9XCvXv3cOfOHSwtLWFjYwMHDx7E7t27e/JQoMFvK1itYLABaZ4wjrlpLaCx\n6VjS9DSo0So1+23T1f+xPEhUWgya0y2beUQzhbW239raGmq1Gur1Osrlctj8hkGbBHwKOKxlanlo\n+eJZ2soHKmrd7VDjQLTfZTKZAGrsEdK8n0qlgkK0AXq2bbVc9j6nQahYqESsdykJzJFXutWxBZ/k\nh9evvLQ1HZ60yJgc9YLY7YZtGjHPiK72YboKAuhV4DjXutq6x8rvAULbZ7w+pHzj2OJ0EacivbGk\naeg47gdYXtHzRX2nA+bn53Hz5k0sLy/3uCXm5+e/MiDAcx1a4dZP6amlSGuK8835fD4ICQZZUfHw\nFEGe+KZz9CqI9HRBggC6hCuVClZWVtBoNLaAELUCbZ1ZH7UMbKBQ7DlPyerzNpDNKjLrieA9K/SZ\np1qn2maaL9+xbRazYNlO5KvyzZ7SRwGo7ni2abVaRavV6jkdUCPzPSBEUn4m8dTes0qPim1tbQ2j\no6OhHLTwNcZB65BkWSuIiXkC7G/mqYrePms9ALZ+Oh51Dwl6LrTsHvBkObQ++lun6XjIF6eFAPR4\nzjRNBTQknVawMUAEGMAmWBsZGcHY2FgPOLbjzU4HxvjtXfcUN//rmGq1WmE1TDqdDoeZcYzxWQsE\nLY+fBRCw4367734VKQoCJiYm8D//8z+4fPky5ubmtmxZeP369S1RjC8zWSUVG0gectfnSXoE8NjY\nGDKZTBAK3W6359wABvx5+/4zDw1OozDvdrvI5/OYmZnB0NAQarVaWN5mrWivrHaQWyXsWfAxi8vL\ny3oDSLQ2PWClQtAT9ElkvQbee9YKpcJXwacAyioWtufGxkbYxGltbQ1jY2OYmJgIsQR0B6sCo2Kz\nkerWA+PxzyoeFeqpVCrEMTANDb6zWyArjzkd4K0CsGVSPtt73rhJard+bap9hvVkbMQggFy/9bp6\ndhjcqR4QXbbIjwJWywu+T4+MXZ3B5aeNRiMsO9Xxy/6hfUANCo/X+t9rr5gHpNPphPIsLy+jXC6j\n292MOeKhZhoPouPa8748K3rW+b9oFAUBy8vLuHTpEm7evInTp0/33Lt58yYuXboUDg/6KlAMBJD6\noWKrSNWzQMFTr9dRrVaDe5YWaKFQCK5or4NTQFE56XRAoVDA17/+dRSLRSwvL6PT6QSrL7Y/gFdH\nT4jbmADPOuznIvSuU/lYS1C9KKrgtuOG9IRi7L4GPqlAjlnuBGOjo6PodDY3xuEc+OjoKMbHx4Mi\nprtVhbmCCQ3kjIE1PqvXqCx0Myj2C67HZ770RNEboPvpM087L808+lnxSh4QSKqTbY+ktgIexuhY\nEKqKM+YB0PSp/Ln6I5/Ph/MUWF57gA/330ilUj2/dZWILhkldTqdsBNltVpFvV4P43Z8fHzL2QbW\nY6H9ZtDx6pECAE5XVKtVLC8vY3l5GWtrayiXy1hZWcHk5CTGxsaQz+d75JHG5WjffVb0CgRsjxKn\nA+bm5jA3N7fleiqVwsWLF59YoZ43spaqJ+Rig82zgnXpFgA0Gg3cvn0bX375Jer1OvL5PCYmJrBn\nz55gFcSUnCoQWjLqbqbSn5ycRLFYDIPXuvhsPTzrXz/9lC4BgMc/j7fWqrDCmsJK1457baHp2ve9\na7bMvG+tc52GAfyARr7LmIGJiQl87Wtfw/3793uWgsW2nNayaXox4BmrrwWjwMMDl4CH8/Ia22AD\n27ypiljatpxanpgnwAMOMc9MLC/bTgQ7dm8Bj1SB8l1eYxwIV1Nw6aQqeG0/uvvt+NG2ttdbrRaW\nlpZQLpdDoGC32w3AgNsqK3iJWd767QGfJB6oB4DxClyZVC6XUalUeuJY6DFSr1AMgCX111f0/NCO\nlwhOTU3h17/+NQBgdnYWhw8fxoEDBx5XuZ47iiFxvecJwpji4ZrrtbU13L17F4uLi/jLX/6CVquF\nffv2oVwuY2pqCpOTk9FNZazgVAHOQDBgczc4xhRQAdBqtcoNeDiAVUiowAO2ulJtOaxw7mfpefXw\nrE31PlDo22dj86ZWUHlgwIIc9dhYl6w3HcD3OS2QTm8eDV2tVnu8L0wvKU4hVtTUuNIAACAASURB\nVC71sHgUU5wEh3YqwwI6yx/Ni+BhECve5u95AOwz2yUPsAFwAZbN11qsfF8DbVOpVDjRUPu+Vcjq\nKbL5a35UuPT6raysBA8CYzUajUbwDFhee7yydY55WqycUg8AYxW4rJQgYGVlJSzr5JLRmDGifTkJ\n2D1peuUJ2B5tCwQsLCzg3LlzuHHjhnv/0KFDuHjxIr773e8+lsI9b5RkpXnXVUDZAJ+1tbUwF8hI\n5KWlpaC8OW/cbreDdUIkrkfqap7MV3d1o8LQ44mtkvQQvSp/CwJYn1hwlSp/VZbWivQUtU3DUzYq\nxLi6gUQlq3WMKX1bnhhPrYtcr1tFSb5wnn1oaCi44fVd5qcem5glbMs4SD/06qIbCFnLXwGe1j0G\nNC14GRQIeGVUpTVIOp73RAEYr1lF7HkxeE3HAqfU8vl8SJugvdt9uKrBtqWOcx1Hmi/3AFlZWUGz\n2QzX6K3L5/Nhb49CobBlpYBV5tr2Mavce0enK+gFaLVaYW+SbndzZ8vR0VEUCoUwDaAxEzag1+vD\nT9sb4AGU7bz7vNH09PQTz2NgELCwsIB3330XJ0+exNzcHGZnZzE1NQUAWFpaws2bN3H9+nWcOHEC\nH3zwQThW+GWh7c5xedaVDrp6vY6lpaUQgFMul9FqtcJGP1xWxg1muFZdXf6egqRrkq5MjRWw1pwX\n5zDIR/Oz+WvdFQDYQL5+A84qF61rOp1Gq9XC4uJiCHq071iQQ7JWt368MlkAoGlogJnNm/cZw6C7\n7fE9nVu2O8clWcyWR/qcdU2rIuS9drsdwFNst79Y/7V5K7jz+JfUzlZJ2Tz7kVXA1hOgwMAG2Flr\n2YI7PayIeREMa2CojiGvb7EsOv65iRRXHei+CTQCbHk8z43lJetppyY80MpyaYBiq9UKRsfY2BiG\nhoZCUPL09DQmJiZ6NhXTcnhBuk8bAJCeR2W+U/rJT37yxPMYGARcvHgRt27d2rJKwNKFCxcwNzf3\nUoGAQZWW1+lVyXBjoGq1GrZOXV5eDscAa0T5rl27UKvVMDQ0FAa1bl0bEwQaeWwFCMvZjwYdvDHh\n4j3Hby/YyVNmVgFp/RjBfOfOnRA8yR347Luavs1LFZgqDSoKtU5VqMYsYAsA9AP07kHPdNgnUqlU\nWI/t5anAIAZcVAlYIAAgWHocw7rUTflsy9uvXQf57QEIz0szCNk0lWcK2qz3ylP89pt8Zl9i8CSA\nHs+aTkXxXc8aViDAOnv7MTDynpZ/LpfbMlYGUf5chaAAkHkocLF9RcEDy5bNZlEsFlEoFEJQK8FK\nrI/YMfWKnizdunULBw8efKQ0BjZvjxw50hcAAJsnIR05cuSRCvU8knVte+5uz/pUN6Ba6LQAqNjo\ngqM7jlG6DBziO9YV5ykaTgXEotk9wRwj7xmr7Aax5GLP2GeT0qHw0mVX3W63Z9lSUjljbWbroUKT\nUfP6ie3yp+/aKRfOver5ELQKV1dXwxG7ajV61rfli+ep8WI6GNj217/+NcSKqBJot9t48OABWq1W\nSFe9CFqXforbs/A9/tu+GwNUsXyS0reAIAlkJPGb7cnlvLqSwgIz6/pXPpLXqVQquNd1M7DJyckA\nZHO5XAABSeDdtrnuRUD3Pq17XZ7o9THb73WPDE4JcFWAehXV80iPgo7NZ+EN8GTNIJ/nnRYWFpBO\np/HBBx+Ea8vLyzh//vwjpTuwJ+CTTz4ZONHtPPsi0E46iRUE/ObvkZERFIvFMFg4ABm41Wq1kMvl\nwoAlGue8vh1cnhDzyhMDAFpHuu7Vnar3PEWu6Xr11ee8+1ZxxN5n1PTMzAyKxWLPcipve9yYhepR\nTOB6XgDPwvPS4HPr6+shwlqVMJUJXcNeoKYtH1dJ2OteG6tyYv61Wg2FQgFLS0vYu3dvyL/VamFy\ncjKxj+hOjYPwNPaMpmHbaTtp8J7tP9qHFQz3y2e7oNcG49l8LCgnaB0fHw/LgUdHRzEyMhLu63Qf\ny66rNVhOO62kexDY5acecLNjmvtGsNwAwmZmDCrWaQDrsfI+z4JeBIW+Ezp37hxOnDjRc7jQ4cOH\n8dvf/hY//elP8d577+0o3YFBwMmTJzE1NYXTp0/jyJEjmJ2dRalUAgCsrKxgaWkJH330Ea5cuYJz\n587tqDDPM6kL11pi/E5SFqnUw3n4brcblv594xvfCOv2KbQ490YLN5fLYXx8fMuSPi2DDepSKyK2\nHI2/rcVEJWPTVKHkWW9K6oL1yOObl5ZNI5XaXNVAy0TX8LPcHvCwaVo+xJ7Vcum8MsvF/Ly5YauE\naSHV63Wsrq72BFuNjIwEa8rbh14FthfroOW3QXLdbjdsEjU7OxtWiLz22mtIp9Oo1WpIp9PYv39/\nj3L3pm768crjW+z97SqJJLDj5ZUEVr10tezKPx1PylO18L2gSj5Ppax7QwwPD2NqamrLTnx8Xy1s\nW0YrWzSuRKcDLHhXD4kFLmr9Mw96P7hnie2XFgDYAOJnAQQexap/3sHDsWPH3HMEZmdncf78+ScP\nAk6cOAEAOHXqFC5cuOA+UyqVMD8/j3feeWdHhXkRaNCOYoWcBokxun9oaAh79uwJy4a4FCefz6Ne\nr4ddxMbGxnpOnVNSgWAtEQoT3eCEA96WUwcPFZsVoDr/18+y8qz82DOeleLx01pdFJQAeiytmLBL\nyiPpOtNgevzul5aWj9MAPC2SymF9fR35fD5MAel2xDb4iuQBMNteKpRVOLMP0W3MOWiuYND3Y9aj\nB54GsTi98sYoCUTElL+9Zt8ZFBB6lqxXR1XUFgjo+Qo6366rM+jVszEL7F+6N4GWU40JoBcEaB6q\n4HWayuMp/+sxyYxR4HkG1gCxVr/X356FN+B5V+aPm65du4aVlZUdv7+tJYInTpzAiRMncO3aNdy4\ncQOfffYZSqUSpqencfz4cbz55ps7LsjzTlaA6fWkjq4CiZuz6BrkkZERdLvd4BIcGxsLywd1B7NY\n0JsqOS9gCXjokvTmqpmmdaN7QtDWnf9VgOm1GO+s0ADi0wz2PU1TlXxMICWBJk+ZWYq1bawdbB0B\nhH3oq9Uq7t+/D2DzfAcq4Uwm07OPQLfbDdMenkdArVIFHF7Z9chaGyjG/eq5JbW37E/rpErF8itp\nHHjK2uszMd574CLGa689+j1nyxnrU3xGrX/dDljT0r6nfE2n02EVgO7sSUqnH65MIBCwAECBgK2r\n9g81PGLTTBbU6zt6SJbdwdADnR6/XtHjo6mpKXzwwQf44Q9/GK7Nz8/jl7/85SMdM7yjzYKOHTv2\nxM42fhHICqKYALTClAM8n88HwVAqlVAqlYK7dteuXeh0OiiVSsHaHRsb60kzJlAtAFDXHC0Fb+c7\nDc7S9DwlaZcfKVlBneQlUKWkAmiQdz0eW2Gq+VhwYYX6oJSk5PQ3lS/z7HY35+O5EqTdbocln8Vi\nEcPDw+FAmUajERSt9QR41qxnoWqbA+hRWqlUKgBC9i/1/CioVP5q3p5SH4RPlqxy99ok9ozyul9b\nJil+vab1t25tu8xP5+HVBa/ltFMIwEMvG1cc2PMYFMxre2n+CgSUD3yXaaqL3xoGSjaQMp1OBwCg\n2wNb0OvJIg+sP22KxdS86HT27Fm8++67OHv2LKampnDz5k0Am9MBj7KD7453DHxFyeQpagsKKKRn\nZmZCNHAmk0E2m0WpVArzgRzMQPL8p3WDA70R4KrA7UD1yqsBaAQAajFa4Ztk/ZOsuzCWv/LJpqGK\n395T8qzB2D2bbyxdFbhe2mxXdQFnMhm0223cv38fX3zxRTjMZ319HdVqFePj4yFSnPO67A82XsP2\nIQ+QeuXgITh858GDB2GPBe07/YS2AgHN71HIA9HKzyQPje2H9hPrq0kgVkGqnefWOABdXkdPDJW/\npqkKUz+ex055YuukgJbPeAACeDj9SBAQA49qBBAY6rQly6jj1bZdDBw8CwDwKPk+i/July5fvowb\nN27g2rVrWFxcxHe+851Hnn5/IiBgYWGhJ4LxZSBPGFnh5aFiT0jbgcvlQrqUyw524KEC9Tq6jegH\n0DNfCaBHgdsyeaSCQiOt+a1pxHjGvEl2vtATjp5gsfXUQ2N4neVVPulvz0JQhd7P+9DP0owJP0ZY\n8xAh7guQSqVQqVQwMzMT9gjgigFOE9h0Y5aXWv8KkhqNRs+6cbbB+Pg4Wq1Wz4l1tm8m8cn2Tcu/\n7XoDrNKzfO8HFPRdb146BgjU+te0rOL3AIbWQb1Yqli957wpOy2j5Z/X9jH+2+Wr9tuOJQBB6SuP\n6MnieLfAwxof6p2IeQmeFr0IyvxRKJ1O49ChQ3jrrbcey+6829oxsFwu932u2+3iww8/fOlAQD/y\nhFRMcFE5UkGn05sbc2gkcCqVCsDAWih2/twqQgBhx0GeCd7tdsNRpd62w0l10rw8IMCyadm1rvyt\nSlnzGERgWGvHCmJdUkVSpaerBiww66fcvWdiiskK3m63G5aBclUDd4UcHR3t4eP6+nqIxNYDZFR5\n2LpZpaSBZ9yIyLaTCn0V/P14b2MsYhap5U0SUOY1bZskZRsrW0zZW4ve8i1WT1sGe03LROVr20pB\nqb2na+01ffvt8TnGQ+WfAhEPPJA4fcC4oU6nE/aK0KOm7Q6JWh8LCjT/V/T46NatWzh+/HiYBgA2\n+X3hwgX8+Mc/3nG6A4OADz/8EPPz8wM9+7IisZi14wkU792YkPIEmbr1PKGWpDg5oHkuAQcqAxK1\nvEltZa0/nadk2WxaqhBsnZVnfH+QvD1hbQPdbJ4WDOjUhk1Lf1vrzWtXT6h6PFBhn81mw2Zb6XQa\nY2NjYc51eHgYtVotpGnniWPC3FN0CioymQyazSYePHiAYrEY4lHoZeCzPMAmad7Y8mPQMZ4Elux/\ny/d+IE3v2f5m+5xNz/Yr73297gFiYOvS4ZgXT/uDbvqlQCHmwdA0VBnbfq/8iIFxT24wnU6ng3q9\nHg4NGh0dDTEruVwuxDFYI8SL5bH99WnSy6p/Tp8+jZs3b+LChQs4evQoSqUSbty4gUuXLqFUKvUE\nDG6HBgYB586dw9LSEn72s5/1VXjeWsYnRVeuXMGHH36II0eO4JNPPsHp06cH8kJs9z1PmHkgYBCB\nFbtuLS4v2C0pHR30untYJpPpCVxKEgg2PVWmvOZF5dsyMB+rkG2+SZaf9x8Ams1mOHxFl1qpMNWy\nWEGtaesmLKyvFyTZT7DY9/kZHh5GoVDA3r17kcvlgoAlMOAhMVa56nJO64VJUpaaTrfbRaVSQbvd\nxp07d/Daa69tUUrkAYMFvbMEkhS49QJo3vZ9VaI2nUEU8qCeAO1z3hRA0n/7vFX43hjidf5W0v5A\nAGCX28XKrDEcmpdVujH5o9d1mtFbeppKpbC2toZKpRL6KE9PzOVyABCWk9rxwLQ0huAVCHj8dO3a\nNXz88cc9emp2dhYnTpzAyZMnnzwImJ2dxZkzZwZaBnj69OkdFWa7dOXKFczNzWFpaQkAUC6XcfDg\nQVy+fDlRoe/0vRgQGAQA2OetglOrRa19IDlS3g5GtRQ0wIdLfbwtb5PSV4pZop7y0TTofSAlWZ39\nFFyn0wnnK6ytraFYLPasm1Zh6llCNi8V/uSfV+9BgACfVf5TwY+OjgLYFKQUrqlUKmwWs76+Htyy\njUYD3W43BInak+QU5HF/gVwut0Uh1+t1TE9PY2ZmBt1uN/QDBSu2XZRvVsFYfrKMHliNjYlut7sF\nZMXe8wCdRzHQEAORSe/qOPRApAcCYv8V9Og4tNtcx8pvwTPT94C2LZeXJttLgQnT5LkljUYDzWYz\nrHoAHk5TqbdJPQC2LipXnrZCfpQ8n3fwcPDgweiW/DzMj7SdMwW2FRg46Dz/04oHOHXqFM6cORP+\nT0xM4OTJkzh37hx++9vfPrb3BkHaSQBABYwXVWzvMTYAQM/coXXxqcBXYcOdvngUKqPRc7lcz2Yg\n3s50lqgwLCCJCU/eY31YP2tx2zT4vueOt/xhOro9qpZNy26Bi1dG+7ytqyd49benNHWDlqGhoWBN\njYyMhH0gKGR1v3YuFSwUCpiamgr7SGi+Ws6hoSGsrq4il8uF+2xT7kfPuV5PQPJZbmTEpaqqJLSO\nDGrkyYgEKqrYPUWkPI4BRq/NBwHDSRRrQ1sv+7wHkmPKFthqvWsdFRDyo4DNAytJckX5FlP2/Ojp\nlCybAnAFz3q2CcdGs9kM25nbOtmVJVq+ZwEAXna6dOkSPvzww4Es/oWFhYE9Ay/sEsFr166hXC5v\nQUaHDx/GpUuX8Pnnn+PAgQOP7T1PcMUsjVjn1zk/BQHcTY6bjvDgj2w2u+UgEZu+Im8AQdhwD3Ce\nTpbP58Pv2AYgtr6sq2fpMT+1DlRwe0BH+aPC3VIMJOjcfrFYxK5du0J9rbC3HxvQZNO3ytxaxVaR\neeXlbyp+q3gZrEerv16vh8OhGCzYbrexsrKClZWVnqWD2s4M3trY2MDIyAhKpVIQ4lpeFdTeElE+\nw7ZbX19HrVbr2Sde21WBAJ+v1+vYs2cP8vm8y1MCNfJFXeeeEibpGFHPUUyRe+NTFS3b1LOulTzl\nz77gxe94Zabi1XKzLTQewPLL9qdBDAsPhMR+W8+OrTe3CFbvSyqVCsCF5acM8WJVtHwxkPek6WUF\nHxcuXMC1a9dw4cKFHv7So72wsABgk/e3bt16+UHAjRs3AGxOUyjx/40bN1xlvtP3YhZAkqWj970o\nZd1shMqh0WigXC6j09ncJKhUKvUAAc8qsUTrnwKIoEBPQVOX5CDWRkzxKRjwyqQWiBXAapXEBJRa\nt3yOoMbunRBT+Fahe22jisKCAu9djxdK3B3Susv5LAUpFWS32w1u2C+//BLNZhNTU1OYmppyt2vV\n4EFaahozoApMgZrlq/KOx1ZzRQF3MCRRKTcaDXzxxRfodDoBhOjxsmpZNpvNcEa9PYZW87fgwXqS\nPC/NIIrTWqRJQMCCLU/B2Uh/7du6O6MCaIIB9cDpuLHpemXvZ/kTHHo8tdMqBIWabiazeZBRqVRC\noVDoKf/4+DiKxWJYKWC3tVZ6Fkrf0ssKAt58800sLi5u0V0eERgMQi8sCPjss88AIBxiROLciC6j\neBzvxZSTd90qap0C8HYb47xuq9XC6uoqlpaW0Gq1UK/Xw5ywzr+psPXKoNYTB60ieXuOfBKS5/2k\nwW09BTEBqe7ITqcTrFwNVLJ5qsJQK9IqDt63sQY2/kHrZz+8HvNSxKxQvW9BC9uDdbZTPbT+ua3w\nn/70J2xsbCCfz6NWq4XDfRgXoICG2/4qAGMerO/a2hpu376N6enpHmVkecA2y2azYWlht9vtAZP0\nUj148AB37txBs9nE3//9329x2zNtHi1bq9V64lMsyOpn8eqe+Hapmke2nazi9wJbbf/1+osFEySC\nFT2uVzfo0XHrefViICfWt2xdbfnZFqy35wVT3rI+3KRM389kMj3HCOt4tXyJGUZPm15WEPCDH/wA\nZ86cGWiu/8qVKwOn+8KCAKvEn/R71rq310jWgk4CAPwwir9erwdlQCFcrVaDq1jn8K3VpGWjpaiu\nO7ohFQD0s26ttehZXnrfEzKdzubhSO12O5STCpECJWa99bMyKOQsmLHC0+NbLE2bn1cOFdzWwrfP\nqSVIa13f2djYwJ/+9Cd88cUXaLVaWFlZwcTEBP7hH/4BmUwGjUYjKBTd34FWOOfxs9ksut0uGo0G\n/vu//xv/9E//hEKhgG63i3379oXYAq/+FgRRaXDOn/m12+3gJXjttdfCkbh2PKj16Vn4+jtm/ZJv\nVK5ra2vBC0RA6wUYWqWkHpGY4reeAfsOn7FtbdPkc2p1K/DygItX99hYSnrXtp9+vHGrbcG6cO8K\njhny2B4g5PUZW8ZnDQReRiqVSlEA8Jvf/Abf+973wn8e+DcIvbAgYHp6GgC2nJ5EN0jMZbKT9/70\npz+FNd6kc+fOhSOTPesU6N2xT4/5VA+AflqtFqrVKur1OtbW1sKe8rT4gK2R27E5d5aJyn/QQECl\nJEso6R2Wi3WmS1i30aUFC6BHUfK/zd+jJEvcWlTWWvGU1HYsCOVxP1JXML9ppVcqFTQaDYyOjmJy\nchLFYhGvvfYaDhw4EE4XbLfbQQDbOfpOp4MvvvgChw4dCqDzW9/6Vo8HiZtE6VSU7acsJxUA+x6X\nl7ZaLVQqFQBAoVDA9PR0z2mYFpjqWQWcP6Z3wAIzr30IFPlh7IRarjHgpYqtnyKi0vQUmQXXTN/m\np+Vn31XX/6ABuEkggG3Nsnhp2b6hy2atx4Hp0FOg7a4yw3owdHwzDfLm17/+Nf7t3/6tp0z79++P\n1vlJUD/jpt+7zzNdvXrV3RSoXC7j7NmzPSBgO/TCgoDjx4/j/PnzW+Y+6M4/fPjwY3vvG9/4Bn73\nu98B2GrtkKwQURehWv6q9NUboNG4jUajJxiJz+g6XLWmrHBXRaNWVczCVkpS/J5AtUpUhQQBAA/G\noXeD3olWq9VTdw1Y9ALBkjwDnpCzAi/GsySydfN45XkyeJ2CmZ4AemcI+lZXV5FOp5HP57G+vo5i\nsYgDBw6Eo6PZd6gEdYlXp9NBPp/HG2+8EfJutVo9AlxXU/Bby2QVGH8zDe52uLq6iuXlZQwNDaFY\nLIb68TlVCnYFDK/z/AJOBVmXueWhToEB2NJuSYq1H0iz/ZXpWwvZa2db3k6n07P1MoFRTKF6fdK2\nURLFvATajtrGGt1vjQgFfjplY6cMbb7sW1qXf/3Xfw1KKpVKPbMj5ZOmil5k+vnPf465ubkw/gDg\n008/xdGjRx/pKOEdcavf9sG0GJ4kvfnmmyiVSvjoo496rl+/fh2HDh3CASe471HeU+Fgo26tq58K\nvt1u9yh9usV5XQWldcExmC+dTvecVGbdqRpgyOfscp5BlL9HMaVnr3l5cLORer2OarWKWq2G1dVV\nVCoVlMtlrKysYHFxEeVyOXg/Go1GD2+SXIox12M/l6rlXczNqpat91xMOMb4qDEabGM94IdWN1d1\n0IvD9td+Y48HTqVSPWcNMMAPQA8g9OrK+3YvglQq1bN1Mfsk+yWtzHK5jNXV1RDUaEGvAl/b/9nO\nsakDHRPM285He33A1sP2Be8/07BTdhqc6PUxRv0rbxiEy0BczxNgAYCtTxLF6sH2tP2NZbRTgbZP\n6hJGXveC/6zXwyvfoIDmSVDMq9Lv87zT+fPncfbs2fB/fn4e3/72tzE7O4sLFy7sON0deQI+/vhj\nLCws4N///d+33FtYWMCFCxe2KNknQfPz8zh37lzYoXBlZQWXL1/uCYq4du0aTp8+jStXroSNjgZ5\nz5JVBkkeAQ8YeB+1RGkNMoArldo8WIibwDBdbvGq5bFlYqe2AXcq7KxSiFm1Sfe89ylc1P1LxbWx\nsREUANeb65y+tfRUCNkAQVtfftP6Vj7YaHTlu5eGZ2GqYqKyoCVleRUT5kzTAjYAPUcL23Zjfip8\nrYeCfWpiYiJYdewrTEPPptA6eXzQftzpdEL5crlc2OCIeS4vL2N9fT1EletUUKvVCvP5VEY2HwUq\nlod8h3Vkv7bBjVqHQchrJ/LZetVUeXrWMd9lGdkvvCWBWmav3OT7dhSTBU9aLq2rBQ+si8YLedMX\nNo6F19Qjpek+S8X6KPk+70Dg7NmzWFlZCXvcXLp0CXNzc3j//fcHOtcnRjsCAQw6+P73v4//+I//\nCNefJgAAgHfeeQdLS0s4efJk2P73gw8+2HKy0ueff47l5eVtv6dkB5oFAQoErKL31swDW4OIOI9b\nKBSCy5Qb/FC4ekBEXX8AelB/LCDJuko94WFJBad+W+tNrUbdTIYgwJ5sSMvJlo/R4DagkWXR8lgF\n4llL1rLntwq2GGiyPLLgIkY2v2aziXK5jHq9juXlZdTrdXS7XUxOTmJiYgKlUqlnKZ2Wg/+bzWbP\n7n8AgmfACwaz7WR5w98KLqnMuN8BAIyNjQUAQA/F+Pg4/u///g+Li4s4ePBgeJ5tTdBH5a2R556F\nacuuIID3PIVq6xpru9g76lFT69+bVtOy61I77RM2OC8GwBWMav1sWymPYu3qySdbd+1LVPZ2CsAD\nOh7AiJXX9qtX9PioVCrh7NmzeOutt3DlypUQB3D58uUnv22wJQsEnjYAIJ06dQqnTp2K3j927FjP\nrnCDvmfJKhDvGj+0gtStyOuA787Tdbfc/Y1CxUa3K3EgqkLSQW3nfW2dkihpAKsQswpVXaTqauac\nv31HwQ2tV+ah/PasKq+MMY9AkpWglp4CJysA+1n5nnJRpbi6uoqVlRUsLy/j3r17uH37dmjfqakp\njI2NhfXY3ooOYDMwz1rCWj5azCqk2Y/YB633Suf1tT+rwNf9JdgeIyMj2LNnD1KpVIgfYBl0KkC9\nF2p1WiWqikTbTi1Oay17Sl3JA6x63fZD9YBomexYtHkoCNC+ZMnjsypYgjkPcPMZzwjxZJMlbU8v\neNGTFx6oYjmV/xxzzxoAvCzA44033sCtW7eiffvEiRM9/fOpgwAWAgDefvttpFKppw4AnhbF0LVn\nVdJlz2h43UEM6BVqTE8HoFr9JB2s3gCzFoha4TYo8FH5AGxV/Cp8FAQwX7qmuQNip9MJG+XQ+8Gy\nKliiJ8AKYWv1Kz885WVJBaDlLz+x+mv6qrBs37ACudPZ3GSH+0AsLy/j/v37+NOf/oRCoYCJiQns\n3r07WN/WK2GtYCt8rceD+Wp8iJ1G0fJy+SJJ82T5FSgoL3ft2tXj7VIlnaRYrNtb21lBmS0nlbRt\nW/u81y5JilX7BMegAhYLgjQPDdglX9TjoWPHtpEto33ekx98Rr022lY2bQuEvZULSXP83jgjMHve\nLP9BPHQvAh09ehRLS0sDbQ509erVHefzyKsDJicn8dlnn+H48eOPmtQLQTrQvCA9znfXarWeTVus\ncuE1DhobiKPC3boVPRehPuNFI28XBMSeVUvPChtrLdALkEptBq5VKhVUqmUI9wAAIABJREFUq1Ws\nra1hYmICuVwuzDGrcKVQYzS91sla+LEy2npYIahuc08gWkENIHgpbP6DgEMus2MQZKvVCtb/1NRU\niAWgB0mViipUa8FbQa9k4y1I1pL10vAsbA/cWCVjYy289lDQESuftjfTpXdB42iYpipbCxyYfhII\nYHrsbxzPusOmemf0ff2vAZl2vGpdvLKwvRQoqCeRddU9ErSf2f8eQFQ5oWOrHwCIjTUPiFm+Pk16\nFGPneQAwSm+//fbAKyzefvvtHefzSCCAUwCfffYZLl26hB/96EdusODLShZ9t1ot1Go1VCoVLC4u\notvd3BM+m82GuVQrWGNKitc8AOCh+0FAAN+JDdB+StUCHhXcakmoNdPtdsNJerVaDffv30e73UY2\nm8X4+DgKhUKICbDWjSoWj28eGPLKrGW3z6sg1FMWrUXG5+mq9fK1z3pr84eGhpDP59Fut/Haa69h\n3759mJycDEGhPPTJKlytG9PWOqlnybYVsHXfe01Lr3t9QBW1VbA2LR6KpF4gDbLrdDrheGum6fFP\n87FueipFVf7qKbPt3K8PaH4sI5/VqTVd1sj0NM5Bx4CWzbafyo0k3tOo0FVBqVQqrM5QHvLbAgBb\nR28KwJve8Hjk9ZvYe8+bQn0RaTtLLB/l0L4dgwAbAzA3N/dSAwHPUrIDu91uo1Kp4C9/+QsqlUoI\ndqOwUCVuhbxnvSRZ8Cp09Pcg83seWSVjn495QGzZrHVHbwA3xqnX6+GgEgbB8WAjWswaO+HtcKgK\n2pbVKjXP4lJ+UzklgSVe0x3TYmSVEAU5p4cKhQJGRkYwPj6O1dVVZDIZTE9PI5vNolAoIJfLBcuy\n0WgEBcDNeQCEKH+2h7pztcxqYXpLLi0PrUJkHroZkLrMrTJbX1/H/fv3USwWMT4+3jM1pYAxk+k9\nV0GBl9c+2u80eI9pqQtfrXJtqyTFaPllwZW3dl7BC99XEGC9SlqedDrdEwthQRLwcJ8R9hsCH45p\nu430IB4Ay2/PU9gPDAxi4T8rLwDpFQDZHu0IBMSCAAkEzpw5g/fff/+xFPB5JB3sKmDV5dtqtQAA\ntVoNqdRmRHehUMDo6GiPR8ALdiLF5nB5zc47qkUbU56D1M3LK/ax76iQ1Dni5eVlLC8vh/Ptd+/e\njVwuh/HxcWSz2WDdWkVsA+MsEPDK6pVZrzFt60GJWYoKLmLgR59VnqjiSqfTIeiz2WyGlQHpdBp7\n9+4NHhFu17u+vo7f//73+Ju/+ZueOXAP/Njf1mtk62/fiylF9ikqYQWXqmD5PTY2FpYpUlHpRjUK\nMNhPvbIqmFQQwJgbBUIsZ6xtbACeBfJJitAqSw80WB7yPW9pIMeGKnwLrtfX11GtVsPBS+l0Oiyp\nzefzyGazPe2h77O+sTo8jqnCJHrWAAB4BQK2SzsCAVNTU9EgwLm5OXz66aePVKjnmazVpEKF0dI8\nVjWdTodI8Ewmg6mpKaRSm+v/u91uj5JUpUHSOWsOVLV6rBLTOUsrREneIE3yFHhxD56nwhMkw8PD\nYbvZP/7xj8jlcigWi8jlcsHytSeSKS+s0OJ9zyVvy2+tIr3vWYNadp2v9rwO/QCAzQd4GPORSqXC\ntFG5XA4KbGZmJqwKYFp3795FNpvF6Ohoj9JQhecpGy2Tfmgl2ykKTdMDdPTI8FuPN2aZ2O/27t3b\nM5eubWJ5189TZYGylst6Pbx+GOvrduzY4DjPwteye0DT5mF/K4i0vOZ1bhq1urqKzz//HNVqFblc\nDrt37w5p0GNm37Xtadsv5u2y5bUUU+rKg53cf5L0VQMBCwsLYcfAY8eObdnivh/tCARw052d3n/R\nKDbQObgopKiwCAK4Y57OgdOKoVDQoB8ieLoKCSp0rby6f7UMdsOPmCCMCSwrWLTeSXONnpBhXTKZ\nDHK5HL788kvcu3cP09PTYVtbWsbqtdBy2Hp5lqGnuHjfrvlW60frbZWkxyurxCyI8ISO8knd3wz8\ny+fzGB8fx8bGBorFYjgkKp1Ohz6xZ88efOMb3wgbRlkBvrq6ipGREUxMTPTMadvykpeqhGz72jrz\nGQ2EY6Cmt4JFDzfi/5hyj/HNU6ra71guzUs9RbZ9Pas7BgD6WcV2bFilq+W25bd9TZ/T8UL3/9LS\nEv7617+GnVeXlpbwzW9+Mxzus76+HqYa1eOmddRyJwF1W46ka4NSDBy9osdLt27dwo0bN3piBxYW\nFgBsL0bghT074FmQHRie1ZHL5TAxMYH19XWsrq6GHdPGx8eRy+WCMFaho9uscg650+kErwJPiLNC\npJ9A2y4a96wwCn9PYajlZPNloGS9XseDBw/CbnLlcjk83263MT4+HoQ6BTwVsnoIlNcaPe1ZNuRh\no9EIgWp0T+v2utZS4vuqMK0QV8+A5qlKxxP0tIy5lSy/c7lcOMedlnMulwtHS+fz+bCeXr1AwObm\nPeo5YH5aBs8Vrv2PysO2oYIKDX6zbQI8jJVQN7S1qHlfeWL7mee5sXPc1h3PPh/bE0Pry/yse9yb\nDvDGjOcBsCBFeaweK887oOl2u92erZWBzdgPbrFdLBYxOzu7JeZBvTrK/36K37aDdy0GBJLkigUA\nTxsIaB/ZybsvCpXL5S0AANhU/rdu3cKnn346sDH+CgQMQFbJxAYWLaVSqRTc4JznnZqa6nF/awAR\nBwr3F2g2m2HvfRUk1tr2LFRVArb83n9vkCZNAWgaHgBQRambyUxOTiKXy6FWq22JF7CCX6c3PFe3\nfd4Ku7W1NVSr1Z7YjJGRERQKhfC8BRdeG3sCsZ/F5PHWAg261LkSwMY9dLtdjIyMBDcweaLpU5mx\n/3gfbUtNR8uoB9+wjOoRUSWnbR1Lz7aJpZhS8MrOdFhX9QbobzttZPkU67sxD4AFw7FyqvUdq6e2\ng82D40A3VkqlUpicnMSDBw+wsrKCTmdz++x79+5tibWw5Unirz6v3hGVP/2Ufwwc2bKwvs/KE/Ai\nKfOd0rVr16KrBw4ePIirV6++AgGPm9SlSFKhqVZoOp0OQGBoaAi5XA5jY2PhOQoeuzGJRgRzl7VU\nKhV22rOC0rNcdKczpm1/20FuhZ5dAeBZxJ4FbQVvLpfD9PQ0UqlUcIGnUinU6/UgzFTJqDtTBbsC\nnJjlqJYtt+atVCpoNptIpx8G5Kn1p2W29WKbxyx/jyxQUJ558860oO00Cq9ls1lUq9Ut/YtED4Hd\nLMYKY2vd27azQI7vaR/Vb44F2+7elI5NL9bnbLn1WeZn57R5z1Potl2UYv3Wa0/vWy1vL/1Yvt44\n010VyaNsNotSqYSbN2+iXq8jnU6jWq3i7t27wTuoeXtj1AM/6vEhPzXgNKlv91OsnnciiTdPkr4K\nIMDS1NQUfvazn7lHDfejHYGAzz//HDdu3AjH787OzuLw4cM4cODATpJ7YcjOQauy0qVQVHi0fvP5\nfM/BIqqMrZKjK1Dd2BQQwNbANuuC95S/F+zkCSjm4SkVTccDAZ41zLlw7ijHuo2Pjwc+6iE3ymdv\nDt+zwuxc6NraWjixsFwuByAGICxNpMdGy+t5BTRfDzxZssqCaXnTNGrdan9Qi5u8iMU/WMEba7Nu\nt7sFcGjfVSDLfDUuhflq9LkNEGV57Py75aO1Wj0FbYk8tIDPgpftCH/lr5evBwBiADRWfq+/eOkR\nDKyvr4ejxIeGhsJyUq07gbHy38Z02H7seQp0jA7av/uRHZvPyhPwVaRvf/vb2w4IJG0LBCwsLODc\nuXO4ceOGe//QoUO4ePFi4kE8LyrZQaKDjMqOy5boxh8bGwsuaEXhOjiBXvemHrKjSl0Hl1cG5qHX\nmZ8ORgsAPOVh5zj5nv325t74vM7tKwCikmA9CJo893wSCOh2H8YqaB1arRaazWZYX50kiGKKX+97\nPNN7tt7KQ2ArcOIz/M0jhHVnRX1/ZGQEzWYTIyMjW9zPWi6rYEnqOo55ArxvfVanpGxf0msxPnnK\nwVrF9n0PVPJZG7ugvPXaMdYHLMCLveMBAi+t2LVYX7H9YmNjA/V6HeVyGZ1OB/v378fY2BjW19cx\nNDSE0dHREFfkldP2Ma9sbAfKhVjcgk1vUEri49OgnZRZ331R6eOPP97xuwODgIWFBbz77rs4efIk\n5ubmMDs7i6mpKQCb0as3b97E9evXceLECXzwwQfhdKOXgZIGB39z/ltRvUZIewLbklqKqVQK7Xbb\nXWrlKS/rIdB73rytp0wtAND6xoSN5mXzT6fTYaOg9fX1HivGlkXdz1a4W0FJ60XTIt85lQKg5wAj\nnlGw3aChJKXiKXW15j0l4PF2cXERe/fu7eEjwZHyUDeY6VdGbQ+dVrFz+pa/Nq2NjQ00Gg2Mjo72\nADbrwQIeei1sf1EA4AEzm78HPL3+PKgHwFPySoPcSwJbtn37gUsl9cJ0u92wcohGAJeN5vN5jI2N\n9fThWBm8fGOypx9vPEoCT7Y8z0Kx7jQw8EWid955B/Pz8+4heJ9++ikOHz48cFoDg4CLFy/i1q1b\nfV0OFy5cwNzc3EsFAgA/JgDoVQi6vahaLGoNq4Dn+xxM+jw3jQHQs7sa79toaDsokxSpZ/UnuTf7\nKQrLBy0Lf+sywJgHwRPs1kVJC8bOAwMPvSgMpuL6ei5VpBXFeXQNjtqOMkkSspZvSnZKh56jfD4f\nQA2fYzmZhl3uaNtG+WCD5bwVFoPUs91u95x10Gq1QqArXdWpVGqLd0KBDOvDuW/dW9+W21Mqtn7e\nbz4XawvledL9GMXeHUR52r5s77GtOD7oEWo0GqjX6+GQLcYV0bMTU8LW2+ONR61TzKvxOJT3TgDG\n46BnATyeBPWL8H/33XcxPz+PY8eO4eDBgyiXy7h27RpmZ2dx8ODBgfMZGAQcOXJkoDmHUqmEI0eO\nDFyAF4msa10HEZWoDmQKdrW+aHkzLTuYNYBsZGQkpKGKn94BFfBanpibF4i7kGNuWKv8rSsyJlDt\nsiXr5lZeplKpnnpTySlQsQJNBSjTonJnWupF4QZF3KPALkXUssfI45Fej/Ey1mfYpgQr2mfUZdvt\ndsNyy0KhsOWERtvH7By/VZCeUtD2Bh7O+6+vr6NSqeB3v/sddu/ejVKphKmpqR7eqktZ0yLYZeAb\np7l0G17N1wOPtq1ZPwsAPA+C5b3t+4O2t9d2gyhTy1f7rK2j7gtC3jO+KJvNIpvN9rjxPUWfVA+v\nzl67JfGg3zUP6DxNehQA87yBh3PnzuHSpUs4EIm1K5VKOHXqFG7duoWrV69idnZ2W+cNkAYGAZ98\n8snAiW7n2ReFklxgMWWqylOVNYWYHhFKslMCAHoUvm6eYy1hlmUQd6lXZq2r5wHw0rMeAF6zR8vy\nfeWhrYdd5mWFnQUz9j+X3QEP9wVgWlScGxsbuH37doiyzuVymJycDPsYqOJWK9e2v1XwNlBRgyxZ\nHtZHwZrXJqxbNpvtiQ2hUtWtdtXaZx/zPBsKwGzbecR3udfC8vJyiHPhlrYzMzM9gMNLk8vf6Eng\nRjdaTu3zdowpAFDF78VaxMrAe7H6bwcIJL1nAQe/rbKOjTt6BHQ5a7e7eQgZ94vQfkDeaz72dwy0\n8LnY+B+EtgOoXtH26dq1azh06BBKpRJOnjyJ48eP49ixYygWiz3PHTx4cFuWv6WBQcDJkycxNTWF\n06dP48iRI5idnUWpVAIArKysYGlpCR999BGuXLmCc+fO7bhAzytZ5UDSAWAVgL6ngs56Bqwlb4N1\n1PL3lKa18q3AJHnliglSDwDofa27/tc6eBHkWiYKPWvVK2/UWtJlYpaoNLmTmn2GoGttbS3svDYx\nMRHd3lb5lWRB2vraJXtqzXmeEE5J2KN1gYfL8jY2NsJxw8oLnRJKpzf3l+fBPRasenP1XjtqfTKZ\nDAqFAlZXV7G8vIx6vY7XX38d1WoVu3btQqvVCry0S8LU06O8iY0R2/9s21pQG+u3ljxwYdvT1l/T\n857zfntp2DrwngJB9SASuDL+gkAgl8uhUCj0eLwsGNb6ajnY773+wL6XBGbs9X58SXr/adHzZtHv\nlI4ePYqFhQV0u11cvHgRFy9eRCqVwuHDh3Hs2DEcP348BOH/5je/2fEU/MAg4MSJEwCAU6dO/X/2\nrqU5ruM6nxkA8wZmABB6mZIp0nIqzsaiwkW2ESUvspRMZ+2KSGXjbBzR9g+wzVT2lkhXJVuR0A+I\nRFVlb5NKVRauxBEkWS/KEPEezAuYyQL1Nb75cPreO+ADpDinampm7qMfp7vP+c7p09126dIl95lG\no2FXrlw5lEviQaaY9Yt7MXSvSi2WNuehwlrd2mwVsxLl8sUsgZg1q0JEBaxXViatNws5lJWFvu58\npx6NNAuWywvByZueMHBQHhQKBatWq2ZmYQ+HmMeE2zTmNmVhzgCAeVksFg8IbhCCGfv9vpXLZSsU\nCkNTHOw14n3jwRPe/bBWqw1Zh9onta+irXRqCtTr9azT6Vir1bKFhQXrdrs2GAysWCzan//8Z2s0\nGkOWKQMcrz21r8csUK9vjgIAtN05L83XU2L6O/ZcbNx7Soj7pN5Hm8ELYGYHTl5E/bW9vLy1fb0y\ne2l5ZfZ44fEoVp6joG8KCHjvvffs8uXLtri4aBcuXLAPP/zQ3nvvPXv//fftxo0bdunSpQAKlpaW\n7j0IMNsDAq+++qpdv37dbt68aR9++KHNzs7a/Py8nT179ht3ZoCSWtxmccHBitrrlCoIVXFxGhxU\np+XgPGLCJ2bpaBliln/SoPaEpXoBkBaucT4xxaF5e+5fCDCcqcD15bS0jLpuX/nnfXM5OU1YZnxW\ngQp8foct5MFgEFaSsCufo8VRVj5jgnnHwXeqRD3rTwU1wIk3NZHP561SqdixY8dsdXXVPvjgA3vu\nuedsamoq7H4J3mC+n71W8G6w14rbkkn7YZbvpN8MdvmeNxayKC7lmwemspaT/4PvWFmEaxywywBL\nQZ1XTlbwKBvXV/sKpsk8meCBSAXAKOeDAAS8vjzKuw8anT9/3s6dO2fnzp2zl19+OSwFvHnzpr39\n9tt2/fp1u3Hjxh2V/VCbBZ06dSrsAZ/L5ezkyZM2Ozt76EI8bKSd3ROuaVZPGiFNFZwxsBCzilBe\nfg5CQvch1/c90OOlq/8ZCCgPWIhAGEHo4TcEkioOLRcEGN9PWsHBfEyyKlXYaf6cLoQ05u7N9kEG\nfuNZPM/P5HK5sNEUH87D+Wo8AZO2EQAFl1fBKdIBn9FWHLOhILBUKtnf/M3f2OzsrO3s7NixY8eC\nZ4LLxvVCG8KqzeVyIaZBYz8UVCcJNVVEMbAXU9hefkmkz3rvxPqU9idPToAPCPxDYKAGVjKI5neV\nVwwMzWzIO8WWP7eFthvqqVN6LD94nKsMPIzMG5NPjUbD3n33Xbt8+bK9/PLL9i//8i92+vTpsAxw\nbW3Nzp07d+j0x5sF3SF5giFm5cQQsip2HqQILOMBz4NV5/8VxXN52BJV5RQru1oBsTpzWmptsdBi\ny9Zs/7AfBPFxIB2e96wTLpMChDQLLytqjgECtqgQxc2WOufBQhR1ZUWPIDme1uF8oZwnJycPnLfg\nCVoW0MwPnYNnRaErOUD9/t469YWFBdvc3LRyuWxzc3NWLBbD1rV4vlgsukoJZUef40BP5qfH46Tg\nPzwzqrKJ9VnvXuwd71oSAEjLC/2c/6M9er1eaD9Oz5tqZEDGQA/TOu12OwTD8pSTxpZw31UvAsrn\n5cPPHiUIyDq+HzaCV+CHP/yh/fVf/7X96le/MrM9kHAncXjjzYIykKf8YijYezdmkYBUWJhZAACw\nAjDvjYHKAkAFZGwAegotabCm1UevxZSv/obA29raGlJO3W7XJib2jmKO1S9J+HI5Yu2h5Y4JjDQh\nBisNp74hLfbYaADcYDCw7e3toSWBKsi1bTwecLq8payCh263O+RJUICAMqEuHnjN5/NWKBTsu9/9\nbgAwfI4FnvOWqnrWLtdVxw2Xi+vttZEqmlg7Jin4O1FSsbEUs869seH1MY7p4LYECGRe65QX/4bs\n6Ha7trm5aZ9//rmtrKxYrVazZ555xmZnZ4Mnh0+iZOCFdJLkH/cfBfxjEHD3qdFohFiBM2fO2JUr\nV+z73//+SEcHK403C8pAHppXC0rP9I4pf0/osSsc+Q0Gg7BZkLrzICh40HNZk6xfz6JlSgMEnjCL\ngYAksLS1tWXLy8s2OTlp8/Pz4cjlRqMRhAnvp6Bz8VwfVhTsAs0ikA5jRQKgYXdC9V5A2SJGAN4P\nAKCYBydWP37G23GPrXhVBBqjgHKpAmFBrvXF+wioxHy/Wvxev9Y5bfWucD/RNo2BXC6fpwSzEpfF\nS5+fYxDFCpPrxWlqW3hAndP2wK3Z8HQQAyldBsr9n0HA9va2LS8v2/LysjWbzXAuQT6ft2q1Gp6t\nVCqhX6g3gDc243Kiv/D23VxG9SzdL/qmgoCNjQ1bWlqypaUly+Vy9uyzz9oLL7xg58+ft9/85jeH\nTne8WVBGYgGnAMCbE/MGvidg2TLDexi8zWbTKpWKlUql4AnQZYJJ5YwpOBVALIiyKMxRlD7qyPzZ\n3d21lZUV+/rrr61arVqlUrH19XXb2dmxUqkUIuRZ2Hp8VMFrNrwXQVZrRC2zJCGC+X8EwmEagNfq\na1r8mZiYCHO/MUDG76plhvxU+KolhuV9ZjYUr8CWpvIAaWl+cOPz1JTWD2mw8lAAoO3I+fK6d7Wu\n9Z0YZQWwSln6CfdF79tray2Dgiae41e3O48vVcycR0wGoG+yp6pYLFqn07Hl5WUrl8vWarUOlBv5\n8Z4Eyj+uM9qO64JyjQKwx3SQzp07Zx999JF9+OGHtra2Fn3uvffesx/96Ef29ttvHyqf8WZBI1JM\n8bEw5gHhRbzzt6a5s7Nj6+vrduvWrRAMNDExMWQpJy0B4/Q0Ty/fLALQq6vmzc+xUoJi3Nraso2N\nDVtfX7d6vW67u7s2MzNjc3Nz1mq1bH193aanp0M9NVo+xj9P6CqoYavEE87Mh5iy4Xp1u91wSBTy\n442ckFexWAzWEUf4I6pe0/faSj8cOAYBzMsMcU6DHjbDfYYtWBbiKCv3W27ftbU163Q6NjExYbOz\ns0PbWXv9wkuXFQQ2ETKzsDQuKbJblS2uJQEE7dteX9f3k/qAKm19z+tj3jPcDgyW0c/wH+/oGOBV\nJBpgyQAOPIYsaTabtrW1ZYPBwOr1utVqNavVaqFOkDdsaOiY86Z+Yry730AgBoyyvvsg0eLiopmZ\nnT592k6ePGknT560U6dO2bPPPmtzc3NDe/XcCY03CxqBFABohKzukpfL7W/UoULQ7OB8JwRnp9Ox\nZrNp7XbbBoNBmIs1M6tWq1YoFIassixKDM/qf7WCuSxZPsobpMVBfmZ7Au3WrVv2pz/9yQaDgR0/\nftzq9bq1Wi1rNps2Pz9v09PTYcc/Pc7YzA5YX0nEvFY3ZQwIKD9V0HGMBgIbofwR3c9p694FU1NT\nIRAwxjsFA1pWtdKg/HEELY5PbjQaVqvVwpkJfHSy8lV5rDtT7u7uBlfyJ598Yp9++qn95V/+pX3v\ne99z+zDACLc/0scBOfl8PvARliq2dAYvMY4YaHg8ivXhpPqCdNwkAQJOR4FUmgJRgOCNNbODQABp\n686ArKAZWJjtHxjFZzyA94PBwFqtln3xxRdhE6vNzc0gaxB/UCgUAshTAKr5cttoPY9CsT5oyvyw\n9Morr9hLL71k165ds6WlpQACvMB7GFeHofFmQSNQTHiylahzq4r8GdHrvCysunK5bJVKxZrNpm1u\nbob91uv1+lB+UASe8PPQecxFGROcWkcPAMSEGQsCCLSdnR3b3Ny0VqtltVrNyuVy2A+/Xq+HSHK2\ntKBswS+NEdA6etdi85Ncdr6vUwq4r9sgs2DUnRs1HwCRWCwHK4GkgEiv7q1Wy5aXl0OA7tTUlD31\n1FM2MzNj8/PzBxQdA9hcLndgfwMsWSwUCqE9Op2Orays2P/+7//a7373O6vVanb8+HFbWFg4MO2D\nw4JQVuUHTw9BMYG3AAlTU1PBki0Wi0N8UvDq8TPWzh5pu8XAMr5RXrXoFTBw+TzlqP3Pm1Lk8qgh\nocYFtx+mnPL5vE1PT9vMzEwIxG21WgE0og0Qf9Tv9wNoMNvfbls9SknTEyjHYS3yO6VvCgj4xS9+\nYc8//7ydP3/ezPa2EX733XftjTfesLm5OXv55Zft7Nmz9v3vf9+uXLliP/3pTw+Vzx1vFtRoNGx+\nft5eeumlb+xmQWzt60DVoECepzWLBwDxwIK1xcIYbmczC4ge660hYLl8fKjMndZVrRK+p8QCWIUz\nFN7u7q61223b2dmx5eVl29rasieffNJ6vZ6Vy2WbnZ0Ngp7d1iAoRpTHizRPCwRMsv6RFj+jChPt\nw5ZZLpc7sLY/yRL13KvcTzxAlaTYdnZ2bGtry7766iv74x//GOIqut2uffXVV9ZqtcLpc+AhK1zU\nhfse/rNFOhgM7Ouvv7Y//OEPtrq6auVyOSibVqsV+iUUuEaxMz/Rf3O5nG1ubtrKyorlcnuHZdVq\nNatUKu7Wy9omsd/8nF6PAVnmadJKDc+DoM+qYkwjr0wsY5CWKn39BrEnB+/Pzs6Gsxs6nY5NTU1Z\nrVazmZmZEIMDwMVpDgb7wcm8YRnXkacNdArpm6KMj4pUn549e9bOnj1rZnve9+vXr9svf/lLu379\nuq2vr98fEOAV5lGhWBCgCkt15fH7PHDZrcZKv91u2/b2tn399ddBWJqZ1Wo1m5iYGDpemMtlZmHJ\nzyiUZtHjv9YpTShy2VAPbBzDZ6OXSiUbDPYOSdEANC/4kcuCfNUdyhSzprnNcE0VACsuKCK2/Nhl\nrlYgp8vxCJwHp8VlTWoHfKO/tFqtABZZEEOx6/4F3DYM9jgPTHvgf7PZtKWlJfvyyy/t29/+ti0s\nLFihULCtra0Qw7Kzs2MLCwuhnT1LcTDYXx762Wef2f/8z/9Ys9kCiLk+AAAgAElEQVQMSyafe+45\nM9vz/kxPT1upVBoC15hKYV4ovzi/JH5m8Q54SiwJRHgeBP3tARKdVuR7amVrUDD3KaQB+YKVKdPT\n09br9azZbNrGxoYNBgOrVCrBG8dbVQOQYSqL+w+OMeZ82ROmAadHAQKygq/Yuw8LNRqNYJSb7R0r\nfFg6FAhIog8++MBWV1e/URsGsTXoDVyeBtCgHiUe0Dy3C6uu2WwG4d1sNoOVj6hynC2OAcvLh3TZ\nUFqdsjyT9Jy6STlvxDagboPB3pz4/Px8sPrg4UBgEviJpUrIw+Of1oEtwpjwZW+MCnJuL/zu9Xph\nvrTf74fDeTjvGFBh/vEyQS0fl8u750WNg0f9/v5mPvl83m7dumVra2vWbretWCxarVYLxyez90Sn\nkNj644BDxBrk83k7ceKEPf7440Pzv59++qktLCyE5Wdra2tWq9Vsfn5+aDULg4Ld3d3gAfj4449t\neXnZnnnmGSuXy/Zf//VftrCwYJOTk/bEE0/YzMxMKDcUEMc2MJ8UkHqucm0XbQPux17/4bHP8Q5K\nMfCAe14f9MqnfZoVL9rS6/O4h7iKiYkJq9VqduzYMev3+7a2tmalUil4dCBj4NFC4CovDVSvIPJE\n23Iw4VF7Ah4mZX636Le//e2h373rIODVV1+1jz/+OHGQPGwERKxBO940gKc4FcHrPDIGEwLMyuWy\nfetb37J8Pm+3b9+2Tz/91D755JOwkQ4AAc/jchQ2KDYY1BpKs24AMtIsbVZYarXid7FYDJbf1NSU\nTU9PBw8GlBuWpXG6ahUl1UefS7LQlKD4tre3bXNz07788kvL5XI2MzNjk5OTQ2vldTlbDDDpNIBX\nZm03BSgMKODyR8R3vV4P1hxWVtTrdVtYWLC5ublwTLLnocBvdQObWUg/n88HVz3iBLrdbrDMy+Wy\nffHFF/b555/bd7/7XSsUCiHGg/mKNsXUwzPPPGOFQsFKpZJ1u11bXl62Dz74wL773e/a/Px82Jrc\nbO8kPbP9nQljXhJuewXFsT7OfYuBmtePdarC61t4h/e50OfU5a9paF34OqfhgUZuT+bBzMyMTUxM\nWKPRCBtJbW9vB8MCbQswwONWp73SxtdRKuKjikU4SjpsUKDZPQABb7311t1O8siJLSMWJHxwDLvy\n8A67/9VtxgM0n89bqVSyer0eLPunnnrKpqamrN1u21dffRXc5XCfIj/PsjCLWyMxBYrfaoV4lpEn\nfDlPBUpYUw8Bvry8bDMzM1apVALwwbOIvuc5TY6y52kVr37K+yzlVguv2WzarVu37IsvvrDl5WVr\nNBo2NTVlnU4nWKe81apHnmXquYSZb55A5/6lIACKtVAohHl5CO7Z2VmbmZkJIIv7KufNUxHqWs7l\nckN5I+AMBwjl83nrdDo2PT1tp06dsuXlZev3+9bpdFzeI/92u22lUsmeeOKJ0J7FYtFmZmbsqaee\nsscffzz0bYBC7HOPMnIfUx7zMzEvjXeNXegcQ6FtoRswMc90vPAY1faN9QPtE0lK1QOL4AuANmTX\n5OSk1Wo163a7tra2FjyNHEeAgFB4jNCv0OcZ0MZAylECgDsBII+iB8HsHoCAb2KsAHsC8J8Fg8YL\n8GDwlL9G+ZpZcJHncrmwrpeX+MzNzQ0FCrJSY1CCfL25ajzL78SsI5A3MGLKTPNhy97MQkT5xsZG\nWOoIBZbmnUB68Aww7/h5LYP3DD/H7cZKan193VqtllWrVatWq9ZqtazVagVLO5/PD8VleDxCmwDU\nAAQl8Rll481eWBEjPygVxFnk83mbnZ0Nmy9pXkmKiK9rOVB+8J3d8zx1g+Wd8FBx9DwHHOLdWq1m\nu7u79uSTT9pgsHfE8zPPPGNme8oLZxNwnt1ud2jbYvY28rhi65vHo9c/Yv2FPVDoG7orKPJSj4q2\nq6fIka7nPfPAgJYzBt7VUAG/wX94d6Ds+/3+0DgsFovBI8DGD9eXDZvYtN2Y9mlpacm+853vDF07\nefKk/d///d8RlWiY7ioI+Oijj2x+ft5mZmbuZrJHTv3+3npsHcTsHtSNUXjOntddMxDgtDCAoVwq\nlYpVq1Wr1+v29NNPD63ZRVkw32u272LFgC0UCsFq8yimuJM8CQo81LrmdFhw4plisWjHjh2zRqNh\n9Xrd6vV6cPPCAoPwYesKylnBEysIT7nn8/khl6ze99qOlQYC1DhQbnt7O6xjT+IhPt1u17744gsr\nl8shoC7NYuJNXtrtdhDcZvvTEJhzh+CenJwMeyywZ4VjVLztflFm5aF6HVAubl/u7/AOgH9YwcLt\nhTYuFAphbwBMV6AunDai1VFebgf0PQ66ZMUf428sVoe9C7xChfuwvuv1QZ0GZaXJdVFlzeMuBsi5\nvnxNlb/O30MOMdhlfvOSUEwNgAfczlynrLEJR0EPQhmY3n//fVtbWwt68f3337fr168fcan2aSQQ\nsL6+bpcvX7aVlRU7c+bMgfMBnn32WXv99dfto48+sv/4j/+4qwU9Sur3+0O72JkNC0JWIjyYMfhg\nvWiQlAoEEBR8tVq16enpMIBxsI56HiAYoTjw7PT0tFWr1WgwFb6TXJOeZaNAQNPhyHQzG9pFD3PA\niP5mq409J2w9oY7qYUma+2PBy+Uz2xf43hwv3KZPPPGE5XJ7SwA3Nzet1+vZ1taWTU5Ohl0bWTB6\n1hjqPDs7O+SK98AOpwMFiNPf4PrnaQh4FuDC1X7F+St/Y25cr49A8UJZoB1arVYAZtiQCHXBpj8M\n3HT/B/RllL3T6YT9MOBlQDpmNjQ/Db553iAdg1778DU8x94zPIcDeHjpHE/tgRhoaf7qXWCwwTLE\nU/zcRl65OX/1WmgZ2KrHPfRByCf1BDBPFQioJ9Mr+1HRgwYCXnvttaH/V69etX/8x388otIcpMwg\n4IMPPrAXXnhh6NqpU6fs2rVr9v3vfz9cO3v27B2dbfwgEoSy2cHzuNU6YAHrRc7qdADegYUEJc/W\nPoite1hbvLd7p9OxVqsV3oeQ5XJzOdUSUSGZpBz0P7vTsV853Nis2CFwdP98FrIcFIj0PQHPCk/b\nQIPC2IXO4AJl5HLkcrmwjHFlZcVardaQkkIAHluNnAeXZ3Jy0qanp4MiZ8vRU8JpViDakjfz8Vzh\nnC5bywASg8EgKGnwBel4POY2wsoPBmawKsFXgCtuYwY+mMLgewzGUA6ABwZQWlcFsB7ATboGnqJt\n4Drf3t627e3tobEEEKtTbRozpO3LgIz7CnsZkkAKeMvA26tPbBxz30dgMRQ9FD9kC4AZ9zvPE8K8\n42/uM/ebkoBJlndjtLS0ZJcuXbJz5865J/YtLi7a1atX7cyZM/a73/3OLly4ED3Z78aNG0M686gp\nMwgAmrl27VrYEXBxcdH+4R/+wX7xi198o04NVMJgVStYBy86kVoMENQcCMgDBYINS3pg9VQqlbDR\nB9bUY6BiAx649mC5NJvNIFh4GZAXH8D1S1I+njXt8aHX61m73Q7WKwMnCB92ZbPAYiWlAoyVPVu4\nHgjg6+ymZVc/yuMJaxaUjz32mA0GgwDQsLkKlJJnbXl8A/jRJVcaWOgpXPQJ3GOrjTeIUl547Yk+\nCGCI6QG18JjHqDueh+KA9c51VWVgZkPAhT0FauXG+iiDaX03xveY0vdc5tyG8LKY7a2M2NjYsNXV\nVWs2m5bL5axSqYTAUIBzAAZNl+vmTVuxYlWAi3S5TuClB3q1zfldljkMsCYnJ8P4xNJjgErdw4Q9\nGp6s0H6bBNAfRnr//fftzTfftHfeecd+8IMfHLi/uLho58+ft5WVFTPb85g/++yzdu3atQNA4Pr1\n6w/cAXuZQcDNmzft0qVLQ1sCY7MCnBXwTQYCsGpAjIx1oEDYKgBICqRRz4GZhfW9cPfjfr/ft+3t\n7XDaINLi6YBCoRB2CGPLmPPjb1bEWq40SwsuY3giut1usATN9i1XtjbN9uflPXepZ42yINUyqvJk\nnjOI07rDOmVBi3vVatWOHz9u6+vrQ+5SABgAC/VccB9hoAdewoODgCzlO8qPPdzZktTtfD1lqvyJ\nWczgCbuzQfAuwTuFdDimAfVnjwQrGTwDXnnxCNyP9B4DRa0r1zlG3EasfD3Fy/3EzEI8Bg6+6vV6\nYWMrxD5w/WJWuCpwLRfLEE+J457W12tzNkLwjAes4M0BGEQcgE4rIQ2e+lKwou2mffkoPAJ3O88X\nX3zR5ubm7J133nHvv/baa/b666+H//V63c6dO2cXL1603//+90PPXrt2zX70ox/d1fLdKWUGAY1G\n48B0AOjSpUt2+fJlu3Llis3Nzd21wj0olORmMxt2h7H17wEAttwUELCgwruI8mbBBWWP97Gsjg+2\nwUl37XbbzOwACEC+aklyXTxQ4AEA7HTYbDaD+5SFE1uPrED5GF7PqlNi1zsLb88K1XXNOh+qfMe3\nzn0WCgWbn593y8B84LKAL2x5cZ0xlQAABP5wG/ByOMyRA7SwKz1m+ccsNvRHT3Fxe7P3BvzgvRH4\nxEQGAdo24Lv2MXwYdDEPtG1YMWmQmipQr51j/5WHHoBi74jXTzxXPpNa8DFZojxI+g1COryMltuS\np3iY58wjgFH1LDH/ldIs/MO65B9UitUXW/aqdX/69Gm7fPmyffzxx3bixIlw/f3333/gltGPNB3w\n3nvvRXcCPH/+vC0uLtqbb755JOjvXlLSgMCgYuEJQc0uW09ZeUpZXbNqVSGvUqkUVgQ0m83gisf0\nAO7BZRsDAbpiAa5LCA0WyiwEUR4Akq2tLdvc3LSNjQ1rNptmtr+18dTUVNjnQIMrQapcme9MHLXM\n3hMuJys75ndMMaIsPJfNQl6fUUGpAXhKqmyRNmIo1EPC9eLT9FAP9nBoXTxFo2AE+XFfY6WI+rGX\nBPVF+/X7/dAHUU4oIlY8uVwugJ3YlJRa90nesjTl46WXdC3WZhoDgOk4nOFhFlf+ScAZ5AUDah9G\nOby0ub1i9UR7cZ0A3Dhvb2pJeYQ8k8COlt3jxf2g+5nnzZs3zWxvyR8T/t+8eTOAgJs3b9pLL710\n38qWlTKDgEuXLtmFCxfsX//1X6MHFbz66qvWaDTs/fffv2sFfBCIlbe63Tzlg0HlBQTye0qx+UG1\nGCCQkN9gMAiufxbyENa8uQkLda4TC3D9Rt1UqWAaADvsra2thQ9OQ8zl9oLsdnd3wzJHri+8HgAv\nzGMWgCzcmH/KW7yP8vEzSe2L8ug3Azwth1qHPP3DxAIbc+wAE/DcsDcAhHTYymMlwG2aJKy1XgxE\n2Cpk65+9M8hXec+AifNVS1Pn8ZmSpn9iyjTpmvJD02fwo/0Z1zh/7BuhoBIAOK08MS+Aljnpg2e8\nfFgeqRzi/+BFLHg1NkaUNzEQ4AG2owAA95s+/PBDM9vzlDPBI760tBSuXb169Y72+L9XNNISwbfe\nesuWlpbsgw8+iJ4YePbs2QPzIN8E8lz5LFj4Ok8D6AZBMQCglmIMBOB9jq7nuelutxu244UFk6YE\nzYZdrGohsSDBsxCC/MGSKkxNQPCwZ4KFLG+kg4/Z3vQGgJS2gdn+fDWXjXkF4INyclvgHa4r/4bV\nGlsbzspfl4byEiuP3yqcGaygHFrGmCBVQRxTMuq9wW94cJA3AwBvN0QPBHC7Mi942aUCAAZcMYXv\njRFV7Oql8Xjs8QhtxxaxBkfiGjxp29vbNhgMwnbJvGGUgkIuaxKg4bJyndPeUTDoGSFeenjXMzSy\nKGsPMHG9vb6SNe27TfczT1X+SfTrX//6Hpbk8DTyZkHq9vDo9OnThyrMg0oqvNkiMLMgmMyGj/LM\nCgA4HXUd8iDjQc4DjXdiwzI2rN3mADKzYTekejcgHFR46HysegEQCIgNa6BkkC5WNKgLm6creB8F\n/GdhrvxgqwZCHZY1hDrKxIpIvQv8QTq8EsSbX+a6c9AmR1wjEFLbN9YPPAWC/Lz+wcQ84o/WgfuL\n7h7H01jKs5g3QD0L2m8xFrQ+nsXqvevxhqesFLgqz1Q54RovX/SmRDhNTAegXQF0zexAcKbySuur\nipnlgipvz5uknh8up8qYGJhg75a2q6Yb8wJwWbiuyrujoBh48ujf/u3f7N///d+Hrn37298eKT/E\nC62trQ1dx0qBLPryqCkTCHj55ZfthRdesAsXLtgJCnJ4VIgHqg5afoYHtzcYY8ibBXXMXajCAelB\n4UPZ8q5sUESqJDhdLb/mq+U024/qh/UPhT85ORm2rOXr2E6WPSPMKywrRPrYgtYjVTxQDCro1FWr\n850xweVZT9oeOzs71mq1rNlsBs8LXPbYjx1LyUZRfjEgoO2hwjtGnvWmli/HHnBwWCx2Q9NmLwAr\nB4C52Dyzp6A4bfXA8D1QmndLgZ/yA8rQU7gAdZVKJex9gQDNXq83FPOgY1LryGBWYyPSlHdMHnh8\n1L7tpcX5eHEJMZ5neS6pTe8nZc3/xz/+sf34xz8O/3/yk5+MfBDPSy+9ZD/72c+C0gdhGuBhMIgz\ngYB3333Xbt68ab/+9a9taWnJXn75ZTt//vw3bnvgGEGoeQM2adB7A0IHVBLS1jIw+IA1BIHNigj/\n1Z0eG8yqhJAff3vvcHpQJBAusIqxoQwrBz2NDEuvsAENC2koGuW3zmXDokWaHAuB8in40PrFlKsq\nUd7LH2Xm5VVws7PV6lnT6ulIs6iSBDHzRnnE0zD8PO8XwFMyqjhVGaH+mC9HfRXkge9aD29ceHPV\nCsa8OsdABMjjM/cvpKPPme1Z/ZjeAZ8Gg0HYyIu9VV7ZeIqFgYZn9avcUJ4lGQZefx0V4MfyiZEH\nNB5Fev75563RaNi77747FDR/48YNO3XqlJ14CIzmzNMBp0+ftjfffNPM9jcJWltbs9dff/0bvT8A\nSDf6UXelh8q9wRmjJADgkQoLDuZioR7L3xOIaolyPiwczfanPeB1gFDs9XrBDc+Bf/AQlMvlIbc5\nW53Y2wCBc+1229rtdkiD16ijzMgPwZJ88Al2+VOLjWMLPECmbae8gvLDngjdbjfULZfLBeuYt17l\nfFXppPUNLUPsPhPP0fM+/p5HiVeyeKs0OG0ACuwJsbm5aa1WywaDvc2pqtVq2I0uVjcFBtwHda5a\nn+XvWDqeAgQQ49UdADKDwcCNg+BjjnG93x8+R8TjF+qI6SUuC/PDA4QeCIgBIM/LkgQo8R7nr8Ax\nq7zSZ7k+Rw0I7mX+Hk+uXLliFy9eDHP+a2trdu3aNVtcXLxn5bibdKgDhLBJ0Nraml29etVefvll\nazQa9vrrr0eXED7MpMIzaW7fUx6qQEGeUmaFq2AiNn8KxW82vFeBzsdq3goAPEWjYIBjBpAOlD+C\n/HgrXiiZYrEYTkRkbwbSBJhgkLCxsWEbGxsB1BSLxaDUoHDYMkewF+9cCL7wkaiwAJPcyeA3r1iA\nYsUmTZ1OxzY2NuyTTz4xM7Njx46Fo3txbCsCONULocpY+4InjGMeInzrc5j3R9xCPr+/aRPHq3D8\nipefKulerxcAAO+oV6/Xg+LkzYNUsXMf1/R5qoI9Kd5YSGtD9eBoXugnZhbKzEob/XEwGIR4G7QN\nb+wVU8I6drT+SeVOand934trwDvKp6S+xPc9nnl9T8GIApijoLudN9b253I5u3r1qjUajaGdAF95\n5RVbWVmxc+fOhW2Df/vb3z40uvCOThFsNBp2/vx5O3/+vC0tLdni4qK98cYbdubMGbtw4cIDtT/y\nnZIKbh34aYo2RjGUjzxjAkMHHAY8ewWSQICWka2wmKJhQMPKDAISShfCkueaEaPA7mYsDVSQhXdZ\nMUDxLC8v2+rqqh07dsxOnTo1dJIiBDtc9CiHLoeLWbvMA/ARv6GcMD88GAxsY2PDPv74Y/vTn/5k\nvV7P1tbW7KmnnhqKmp+bmxvaFTBmwSmPlTgIUtuf02CFwCAgl8sNbUHMfYWXNWr0OOfJK0IQNQ9P\nALw9aDsoSA5C8+rmgVCO++D+oCsnksC4B6i5vwM88uFMaCfwolAohHcBdFE2PhSM09YgzCwKMklG\nMD+4nfm+1ouVv76neXmAX9Pz4jMU1DwoQOBOPBGx91588cXoOQCg11577cBBQQ8L3bWjhE+ePGlv\nvPGGvfHGG3bz5k37zW9+Yzdu3LC///u/t1dffdVOPARzIzFihacCPGbpq+DxBkYSEvcEPL7VqtL7\nZv6SIy9dFhoKAmJ1GgwGQcB7Xge45PGbDyXhcvD0BQQ8vrvdrtVqNTMza7VawfL86quvbGNjw9rt\ntk1NTdkTTzwRrG0Idnbx6oZNMfeyB3xY6QAI9Ho9W19fDx6ApaUlW11dDcfjrq+vW7VatUqlYtPT\n08E7wtNJXrt6fYDbx2x43jwm7BT08DHMukcD56XK2ltKxvzFihTEn2A1CqYCYkqIwQbXjz/qJUgC\nwZ4nxWzYQ8BjBv0E4Ifd+7HlncgH3iTUW70nOp2B/NQ7x/1Q25ivKX+0zb1+woAt6bmkPL30FCx4\nMjEWozCmB5vuGghgOn36dNga8fr16/bGG2+Y2d5mCQ8rqULlYK+0ARxTwEkKyMyiwEPTilkGet9T\nfPwu6qRpMOjgazGhpKcHxvYkZwDAQgVCulQqhXQ3Njbs1q1bQ0txOCgvl8sFCx2CHHnDE6GbNyn/\nNVCMy2m2H0PQbDbt9u3btr6+Hs5wYM8Blg62Wi3b2to6oDBibejxmXkbE8rIlxU373OgCp2XUKLd\ntX0UeIDwf2Ji7yS6er1uu7u7ViwWbWZmJkznwCvB/Unr61m4vAcEX4999Bnul8xH9fJwv0B/BT8Y\noHLZMa3CPGN+8f4I/By8XsrnWExDTElzG3iA0lPi8LShbswvj3h8a1+LAQEPAIxBwMND9wQEMJ09\ne9bOnj17r7O556QAAL89oZw0aHTAq8BXJRkbXDGPAafN6XtAgO95wsf75vzYKsJ/5YfOmWrdPOsc\n78HCR5Df2tqa9Xo9m5+ft8cff9zq9fqB8mD6gQPdvE2btEweANCpCZ6jRj7lctlu3bplvV7PZmdn\nQ5T8/Px82FhGz3ePATpP+Wt7alnZgmfr35veYUWHaQL15jAo43bkcjJoAwADLxBJz5tDeZZv0tST\nBwRAHpDU+zpN4AUb5nK5sPwP6fDGWl7a7BnypgQ1pgHl4b6XFqejoI3rqnEl3qFYTOrFYR6nWe3a\n11TeePIwaXrmftKDUIaHiQ4NAq5cuWJLS0v20ksvPTQBEIelmBXC1plaGmxNeAIf5Fl8MYtHUboK\ne++5GADg8qhy98rjpa9lZJczl4kFiQcKFEAxQMjl9rYdXlhYsPX1dWu327awsGC1Ws1yuZy12+0h\ntz/ORectijW9tDZQpQxFaWZhN8b19fUw7bC7u2u3b98OUfiYDjEbPoBGlQbnEaMYMAOP+Tfm7Fn4\ns3eF+ysOmMIqjZjXRPnF0za8YgOBnWYW4jGgYPkwrZi1izbCNc/NH1P+sfGJ97l/gic8RYOAU90o\nScug3hcuE/oBewhxX1fuaPuyC1/HNOfFddF647/XX1g+aZl46k7lhv7XNuAxpfxIAif3msYgYDQ6\nNAh444037MKFCzY7OxtOD+Rjhr9p5A04Ruy8U50KfggGDwwkuf50IKlFp0KDETkHwGm5Nc20QeN5\nOZQnaqXo+3xkMMCApwjUgsvl9qzMJ5980qanp8OxrrwpUrlctunp6aEodwZgnnLQ+jBg4uc0SK1c\nLtvMzIwdO3YsrBBot9shJgAEBcl8UesK7eSBAy1b7B7m/NEX2PqGcIagV1CKAD8AF5SJn/M8NTFg\nwqsneMWG1x9i/T1pXKji8bxkMdCt19hCn5qaGjrR0VO6PN45byaOq/GUJZedAZkqagZySEfBg441\n5RuDCA7oRJoAzrExq2kpL71xH+P9/aYxCBiNDg0CVldXw+/nn3/e1tfX7cqVKzY/P/+N3DfAEyYK\nADjSmJfssWWoCt3zBCS51VjY44PBjXdjQlbrgt+etZX0fiw9BQJq8UEpJFnBrDDxjchzWKmbm5u2\nu7trpVLJarVaWJueBHZQPq6bfsesFxaEAB2lUslmZmbsW9/6VvjudDpWqVRsYmIiRM9Xq9WhbWq5\nfuCHggTNm4W6/mZBD/c+twGv10e/hIU+GAyGIt7hDYAy0n7CwAj9XsuKDaK0vkzoG5qHV+80ZZoG\n8lAvJu0nPP2gbcT/dadFD1Czd0aBlMZc8HHTGNe8qgX5e7EkqoCVMF2A9uLpH9SF668AzKuPZwB4\n0wpjJfxw0V2JCdjY2LAbN27Y2tqavfXWW/arX/3Krl27ZidOnLgbyT+QxPOvmLPGHvoYEFNTU0PI\nWxF3zDUaU8CeUvXcdt51BS8eEIgpIi5TGjhggQBBxwoDFnyaZwTXeB4eRxIDVBUKhbAJUQz8xAS0\np/hZobJg1kNy4DYfDAZWLBat2+3azMxMuIfgOAhXtfLYA8DWpucRYSuR2xcCfTDYX8POqyI8JcH8\nZqWDPlssFof4o7EMXB72OnAeuG42PB+u7ZEEfJg4f47tiAEAT5npNe13ngsfPMJ9z93tWeEeCPXa\ngvsaL+VkUObVSwGFBwQYYPExzgAGaG/e/pinvJCG540x2z/ASzdC8sbz/aYYKMr67qNIhwYBH330\nkS0uLtrbb789dKby2bNn7fTp03bt2jU7efLkPZ0iWFxctKtXr4YNGi5cuJC6nhO0tLRkly5dsnPn\nzmV+x+zgnCyEL+ZYOViHhaHZ/rIiTSs22GIWqQYP6SD2LMVRSQW0/lZhxu+xUIUShAJl4alWF36z\nNat8KBaLwernNe5pAEB56KXPClu9LfyZmJiwWq0W5sABCNjCxpkOKBsfGcxTI2yBgjyLUd27ODoa\nyhv5DgaDoTloWJMgKBrsdIi4gFwuF9zQXCa2SHnuWoPtQOzp4ekZT2kyJfV9VoBJICD2Xixd/q99\nhPujerW8tGNKEN9adwYaAAEIJOU2xLPqBfGAAJef2wt7HI2oUUIAACAASURBVKA/AESiXMiPxzXL\nFeUPg/MYmD9KehDK8DDRoUHAqVOnrNFo2Llz5+zSpUuuIl1aWrIrV67ck00UFhcX7fz58+HghvX1\ndXv22Wft2rVrqUr9/ffftzfffNPeeecd+8EPfpA5Txa0ZsMn6vHJbKzc4X4FemYLkNOICUHPqvGe\n47Ty+XzIM0nwxuqI/LS+XA4mz4rCu7AWYVGbHTwpTWMZvPlJFqae8NeyeNfZkvYsLLQPXLKwkhl4\nQfgWi0WbnZ21nZ0d29zcDMfLYvvgSqUyFC0PYc/KBYqX6+YJY1a+qEO327Wvv/7aPv30UyuVSvZX\nf/VXIbqdecZ8QB9tt9u2vb1tW1tb1mq1AljlDXAQI8B9QIEKtxvHEnBcgu4hEVOWnmdGvzkv/h+r\nbyyPWH/R+541nAQ2kkAAP8djn0EAlryiLcxsiHfeNIhOM3DZwRtsYY202ZvDZ3UkBS2qwQIQ7o19\n/X2/aQwCRqNDg4BXXnnFrl27lvjMyZMnbX5+3n7+85/br371q8Nm5dJrr71mr7/+evhfr9ft3Llz\ndvHiRfv973+f+O6LL75oc3Nz9s4772TOD4qMBYqnIFlQ85w95lrVk4D3QIzsdcDzYNVysLUIaxXf\nbIGzco8JR66XBwD0Xc86Qh66/hx1hgAyswNgJea98HjC92JWiQIAnotmvsCzAysZ6/15V0N282ND\nIICuTqdj+fzeznONRiNMU7AFxiCA+wHP37PwZhDA88Xb29u2vLxsm5ubVigUbHt7O0yNcP01b9QP\n5zIgjiWXy4VNfxhMKA+1b7JVCr7wwVWx9sI9r409wKCKT+95317asb6l/V0BQBJI9/piElg3G7a0\n+/391RrY6wLeHUwpxsqNssbqjnbhA6I4b4AATGUpn3jcIB8G7wrovTKM6cGmQ4OAX/ziF5mee/vt\nt+3SpUt3FQRcv37d1tfX7cyZM0PXT58+bZcvX7aPP/7YTqTEIyQNKo/UgmeUjP+qaNSK9EBDmgcg\n9h2bC1QAwnOC3rxfEk88kJImRKFQkY8HBKCMPAXhgY80gcv38K6XnrYDA6tcbv9AGWz0s729be12\nO/AQyw9LpZIVCoWwT0GlUrFSqWQrKyu2s7Nj09PTVq1Ww2ZHnL9OlYDPLGABOlAe3IcrH0GHu7u7\n4awCeMQ4QFLnujkugYPP2FODw5CSTqD0dmBEW+oSUO6v3Ke89uNrWT76nlIM5HKdvG9vqo37CSir\nl82z0j3eY4rHbDhIUxWyll/z0THBfZ8NBQa+7Oni95QfnD5Pz6gX4ShpDEJGo0ODgOeffz7Tc+fO\nnbOTJ08eNhuXOAaBCf9v3ryZCgJGpRgah7DFYADS5uhoPOcpOCbPysK7/M3CnYEHz9NhcMMdqwoo\nVketa6zMnnJlnuCjm/WwQIUrXIPHPG9FTPlrW3i/FYCpMGNlDIHMh+T0er0QhAheTk5OhgDA3d1d\ne/zxx21ra8va7bbVajWr1WohgNHjK+rHihSCmeMcdBXIzs6OtVotMzN77LHHrNPphBiBZrNp1Wr1\ngJuW8wZPtb/y6YvIx+Mz98nY3LwC1DTAHbPQY0otCwBISz8GNvk6gJjez1IGBaL82wOk3Of5OX2e\n82Zgr8CS01K5hHR0aSk8h56nkc/hMNs3itCPVN6N6eGhe75jYKPRuOs7Bn744Ychbaa5uTkz24tF\nuJuEzh8TSrpxCoQq75vPwh5pgpIEaJKy4zlkuP958AIIKBjRdJLqHcsb6XP0PMrNbm0IIN53neME\nIEA8SyLNCkQ5tB4qwJh0SobryQKXLTMoxFKpNCRs2cMxMTERVgjgP+eX5NmAMG+1WgFwcH9hYc07\nEGI+v1Ao2Pr6ut2+fdsmJiZsdnY2uHa5rcArnMiI4Ea0C/oS2lPnmz3+e+3EdfT4HGtbVWQKAu+E\nFAiwQvcsak/hazmSAEAsbx43uq8D2gy/GRyrDGKAECuL3uepAcSBYBxqOTlfjo1RowMbLHlew6Mg\nr3+O8u6jSPccBNwLUuV/r+mzzz6z5557bujaT37yE/unf/qnICig5DCQAAR0FzIlFnJeLID3LH5j\nIPLA1pgEVrJIO0Yxt6P3nLqWYdWDD5wfABJ7KThIji1mFnZc3hhPtOzef07X83LwMwoqGMyoQuJr\nPCeuaak7ldNG+igLPBDtdvvAXC6eRwwA9kuYnJy0drttg8HA1tfXbTAYDK1eUJ5MTOydy8DBqrz5\nFD68m1ySkvc8V6xgPeXP/zU9fi5NMI8iuFmBajlx3QMF3rMKRJOI7/OUE1YD8NjhMwbwm2WKlskb\nK5wn90MGAghYVoCID08b8EZo3LenpqbCAVlTU1P2y1/+0i5dujRUxqeffjq5UcZ05HTkIODKlSup\nAYagxcVFm5mZsfn5eTOzocNkzCzMi97t6Yfjx4/bf/7nf5rZsLKGBc7uVN54BNHivIe9CkhVKEku\nNU9IKXhQlztb6yo00shTlvjPQIBjDwAA+D3Oj4PvkA7mP9kboO5G8NOz/D3yFBDfY1IrBhZOqVQK\n5eXIeV2vrooklmcMgIGP6Ds4KZEDELExUrlcNrP9w5P6/b5tbW2F/Qnwv9lsDnmmUEeAssFgf5dA\nWHsIGOSpJASmcTsqAMC31lFd6fo79u3xz7OuPRqlb+jvrGknAQAFlkwYKxx4imBA9HfeYpmBJd5H\n/2IXPF/jPsnvaNwJTxMywIDix3XeI4PbXkH7YDCwn/3sZ/bzn/88PPN3f/d3qW1xL+hRtegPS0cO\nAg5zDvNLL71kP/vZz4LSB2Ea4PTp03etfExqCbEAxDe7m9kVrsukPIszyQsAilnrHKilA1Rdu6pM\nNa8kaxnfrPx5vlLf47JA2cDNDm8ANrtB+XjDGVZEAAw6tcJ1SBLCeM4T+iogy+XyUNnMbMizw8fl\nenX1yqDtr3wBUOt0Ovb111+H6/l83qanp+3JJ5+0Y8eOWS6Xs2q1ajs7O0GR7OzsWKVSsVqtZr1e\nL8QH8DQM9zFeAsjTNMx/eJDYwve8AgoAYta/19+8fn5YIZ6WrkcxoDvKu7F09DdvCoRlmq1WKwQD\nFovFIQ+azs2b7QNGBsacR2zKgNuEPQ0MDhik8BJZfQekHiQulyfj7heNQcBodOQg4DD0/PPPW6PR\nsHfffXfo8KIbN27YqVOn7MRdDgo0S5+fhnI1G15O5e1n7w0OL1LeoyTLA8JDPQEYpFreWF6e8Igp\nNwUv7MnQ1REcgQ5PAE8nwLrhpXCYv1ZgAv6mgSV+npWWPsvCkwM9C4XC0Da4hUIhgACQ8juLQmGF\nibQR9PfnP//Z/vu//9smJiZsenraKpVKWA2AFQGoT6FQsIWFBatWq+FYX+a/9isFimrdMT+8dvb4\nDd5588LeWOF7/K3vjkJZBL8HUL1nPG9OklKLAQDtr7yXCIBwu922VqsV0gXQ5DppuuzZYW+L5wmI\n1RPyir0Bg8HAOp2ObWxshP6GqTx4lbhOOlUwipfxXtJR5/+w0UMJAsz2phEuXrxov/71r81sb2rg\n2rVrtri4GJ65fv26XbhwwRYXF6OrGbIKnVjnVgWoAiFNwMVARVpZY4KKBT0LZbbeudxm/nptfVfz\nQl354BkWQmxdcnQ7R0Vr3Xj3RRzGg3dYMbMlncRb5UvW+ywgMe8J5coHzHi85YArT+kleXwAgm7d\numV//OMfrVwu2xNPPBGWAQIYzc3N2WOPPRYCYUulklWrVcvlcmGJHw7FwSExnmJW4mVp3De0bZn/\n3koLDzjEPAHeO4chrz8lAdy0d71nY6BFAYL+NrMhMMzLPlmhqwdGidNgqx7lxDSPN55RRh23XA8E\np66urtrW1pb1+32rVCo2MzMz5KXQPs/l4ryPygtwNzxJjxI9tCDglVdesZWVFTt37lzYNvi3v/3t\ngWONP/7446HDjsz2dgx86623LJfL2dWrV63RaCTuMuhZ0PybvQBmw7u8xTqWWqWjdMA0i5wtPAxa\ntdZYcKngYMGl+XFe7JpnoYR8eD4R1j1vvMPPIx8WchpomeaRiPGZPSQxUuHFc7IIumTvA5dFp0UY\naHl19PoP8u92u2EPgmazac1m0z7//HObnZ21hYWFsCwRyxCxdwFvR6y88rwUWh60JZ93we0b6x8x\n6z4W5JoFCGhaSRRT9lzOUf57n6QyxTwEMVCKPoS+xQGz3l78Cjg0QE/5qWccmB2crsR/ntICMME0\nAOJNAEgKhULwUHjyJcavMT349NCCALP0eIKzZ88Ggcz04osvjnReABM6Oiu+NEsH73HQnNnw4Dxs\nOUAMADDQebAmWW6eIFOFqfchULjenquQN7jhYDYIQcRL6F4BABKYUuFpFZ0GGMWb49WF+YffaGPd\nbIl5wyCApzsgpBXoKFDD/X6/b+1221ZXV21tbc0KhYI988wztrW1Zevr6/bll1+GlQC9Xi/sDjg9\nPR2ucTwF9okH4IJ1zwpE2w19A/PEAAEaqIbysrJnAMjfsXGh3zyODqNE0t7hdNOeZV4wIOU+53kC\nvPwYeHHbo98zsDSzofHgufbV+va8FPjtgQi+p2MNaeHMC/Rj3gKbV/EAMOoyRpZLSQDtXtKjatEf\nlh5qEHC/iQcdW6kqVM3sgNLgAZ0GGO6EWNBomfEf5UEdNMDNq28sL7XK2eXZ7XbDcjd8EASFeUb+\noExwfQM04dAgbMPrWTueR0DBTaw+arFyu5rtz62zUGdrjD0BvPabFSWnr27VXq9nm5ubtrGxYWZ7\nVtn29nZYCdBoNGx3d9c2NzfDXC3iAOD6R8AiFD6mU+DG5TJqfVUJ4z+UEh9HzKAazyPQlEGux9Ms\n/ShmWWclz3LPAizUY8IeHU1P+1hSelwm9TDBsmaeMdiN1cHzOCnI9KabPP5werlczsrlsh07dizE\nnQBsIiaA68GBsjwtocGJ95vGIGA0GoOADKSuVJCHuDEYeG5YLXC1wu8WsTJnb4Aqak95e9ZhG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19XX7/PPPbW5uziYnJ61Wq4XBgdgBRHcjIIunGMwsuILNDm7jGlNUOqgVCKjbMobWVWB2u92w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\n5K8BvWYZBZBGVkYufN68S0+oL0wjyfuWGzF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