{ "metadata": { "name": "QuantitiesTutorial" }, "nbformat": 2, "worksheets": [ { "cells": [ { "cell_type": "code", "collapsed": false, "input": [ "# Set up imports and matplotlib options", "%pylab inline", "import numpy as np", "import matplotlib.pyplot as plt", "import quantities as pq", "from matplotlib import rc", "rc('font',**{'family':'sans-serif',", " 'sans-serif': 'Helvetica, Arial',", " 'weight': 'medium',", " 'size': 18})", "rc('text', usetex=False)", "rc('lines', linewidth=3)" ], "language": "python", "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "", "Welcome to pylab, a matplotlib-based Python environment [backend: module://IPython.zmq.pylab.backend_inline].", "For more information, type 'help(pylab)'." ] } ], "prompt_number": 1 }, { "cell_type": "markdown", "source": [ "Scientific computing with Python", "================================", "", "Python is widely used for translating scientific ideas to code. Excellent packages are available to do the types of things that scientists do on a daily basis.", "", "- [NumPy](http://numpy.scipy.org/) makes it easy to work with large chunks of data (i.e., vectors and matrices)", "- [SciPy](http://scipy.org/) provides packages for doing common scientific computing tasks", "- [Matplotlib](http://matplotlib.org/) creates beautiful plots quickly and with fine-grained control", "", "In this set of examples, I'm going to try to convince you that [Quantities](http://packages.python.org/quantities/index.html) should also be in the list of packages scientists use on a daily basis.", "", "A Canadian example", "------------------", "", "The following question comes from [Physics: Principles and Problems](http://www.amazon.com/Physics-Principles-Problems-Paul-Zitzewitz/dp/0078458137) by Paul Zitzewitz.", "", "> A hockey puck, mass 0.115 kg, moving at 35.0 m/s, strikes a rubber octopus thrown on the ice by a fan.", "> The octopus has a mass of 0.265 kg. The puck and octopus slide off together. Find their velocity.", "", "The solution to this is based on the conservation of momentum: the momentum of moving puck and the stationary octopus before the collision is equal to their combined momentum after the collision.", "", "\\begin{aligned}", " m_p v_p + m_o v_o &= (m_p + m_o) v_{po} \\\\\\\\", " v_{po} &= \\frac{m_p v_p + m_o v_o}{m_p + m_o} \\\\\\\\", " v_{po} &= \\frac{0.115 \\times 35 + 0.265 \\times 0.0}{0.115 + 0.265}", "\\end{aligned}", "", "Let's use Python to do this computation." ] }, { "cell_type": "code", "collapsed": false, "input": [ "mp = 0.115", "vp = 35.0", "mo = 0.265", "vo = 0.0", "", "v = (mp * vp + mo * vo) / (mp + mo)", "print v" ], "language": "python", "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "10.5921052632" ] } ], "prompt_number": 2 }, { "cell_type": "markdown", "source": [ "### Data exploration", "", "To explore the situation being described in this question, we can try changing some of these values and redoing the computation.", "", "An obvious thing to change would be the puck speed. How does the velocity of the combined puck and octopus (pucktopus) change when the puck has a higher initial speed?" ] }, { "cell_type": "code", "collapsed": false, "input": [ "vp = 40.0", "v = (mp * vp + mo * vo) / (mp + mo)", "print v" ], "language": "python", "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "12.1052631579" ] } ], "prompt_number": 3 }, { "cell_type": "markdown", "source": [ "NumPy and Matplotlib allows us to do this exploration much faster.", "", "Rather than changing `vp` and recalculting `v`, we can make `vp` into a vector of many numbers using [`np.arange`](http://docs.scipy.org/doc/numpy/reference/generated/numpy.arange.html)." ] }, { "cell_type": "code", "collapsed": false, "input": [ "vp = np.arange(51.)", "v = (mp * vp + mo * vo) / (mp + mo)", "print v" ], "language": "python", "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "[ 0. 0.30263158 0.60526316 0.90789474 1.21052632", " 1.51315789 1.81578947 2.11842105 2.42105263 2.72368421", " 3.02631579 3.32894737 3.63157895 3.93421053 4.23684211", " 4.53947368 4.84210526 5.14473684 5.44736842 5.75 6.05263158", " 6.35526316 6.65789474 6.96052632 7.26315789 7.56578947", " 7.86842105 8.17105263 8.47368421 8.77631579 9.07894737", " 9.38157895 9.68421053 9.98684211 10.28947368 10.59210526", " 10.89473684 11.19736842 11.5 11.80263158 12.10526316", " 12.40789474 12.71052632 13.01315789 13.31578947 13.61842105", " 13.92105263 14.22368421 14.52631579 14.82894737 15.13157895]" ] } ], "prompt_number": 4 }, { "cell_type": "markdown", "source": [ "Note that we didn't have to change the update for `v` at all; NumPy just does the calculation with all of the `vp` values!", "", "Outputting the numbers is a bit too much to process visually, so let's instead plot this data on a graph." ] }, { "cell_type": "code", "collapsed": false, "input": [ "plt.plot(vp, v)" ], "language": "python", "outputs": [ { "output_type": "pyout", "prompt_number": 5, "text": [ "[]" ] }, { "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAXsAAAEGCAYAAACEgjUUAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nIgfAYk9E5ABY7ImIHACLPRGRA/h/mahq6M3whn0AAAAASUVORK5CYII=\n" } ], "prompt_number": 5 }, { "cell_type": "markdown", "source": [ "We can easily see that there is a linear relationship between the velocity of the puck before the collision and the velocity of the pucktopus after the collision.", "", "What if, instead, we varied the mass of the puck?" ] }, { "cell_type": "code", "collapsed": false, "input": [ "vp = 35.0", "mp = np.arange(0., 2.05, 0.05)", "v = (mp * vp + mo * vo) / (mp + mo)", "plt.plot(mp, v)" ], "language": "python", "outputs": [ { "output_type": "pyout", "prompt_number": 6, "text": [ "[]" ] }, { "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAX8AAAEGCAYAAACNaZVuAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nSUVORK5CYII=\n" } ], "prompt_number": 6 }, { "cell_type": "markdown", "source": [ "This looks logarithmic, which is much more interesting! As we increase the mass of the puck, the pucktopus velocity quickly increases, but starts to plateau as we reach 1.0 kg.", "", "Units matter", "------------", "", "However, if we handed in these scripts to our high school Physics teacher, he or she might be impressed by the Python scripts, but will ultimately mark us down for not including our units. Recall the original problem:", "", "> A hockey puck, mass 0.115 **kg**, moving at 35.0 **m/s**, strikes a rubber octopus thrown on the ice by a fan.", "> The octopus has a mass of 0.265 **kg**. The puck and octopus slide off together. Find their velocity.", "", "The real solution is", "", "$$v_{po} = \\frac{0.115 \\\\,kg \\times 35 \\\\,m/s + 0.265 \\\\,kg \\times 0.0 \\\\,m/s}{0.115 \\\\,kg + 0.265 \\\\,kg}$$", "", "Putting the units in allows us to do dimensional analysis, to be sure that we're doing the right computation.", "", "\\begin{aligned}", " m/s &= \\frac{kg \\cdot m / s + kg \\cdot m / s}{kg + kg} \\\\\\\\", " m/s &= \\frac{kg \\cdot m / s}{kg} \\\\\\\\", " m/s &= m/s", "\\end{aligned}", "", "Adding in units isn't academic, it has real-world implications. An often cited example is the [Mars Climate Orbiter](http://en.wikipedia.org/wiki/Mars_Climate_Orbiter#Cause_of_failure), which crashed into the atmosphere of Mars because one of its subsystems represented force in Imperial pounds and another subsystem used Newtons. While a costly mistake for Nasa, it has served as a very nice example to remind scientists that we teach people to use units for a reason!", "", "Units in Python", "---------------", "", "The first time any scientist uses units, it's done in the following (bad) way.", "", " mass_p = 0.115 # kg", " velocity_p = 35.0 # m/s", " mass_o = 0.265 # kg", " velocity_o = 0.0 # m/s", " velocity = ((mass_p * velocity_p + mass_o * velocity_o)", " / (mass_p + mass_o)) # m/s", "", "Verbose variable names and comments may help some, but they are terribly inconvenient, as you constantly have to look up the decalaration of each variable, and you don't gain anything tangible from this. It's like putting post-it notes on every item in your junk drawer.", "", "Fortunately, there are plenty of Python packages available for adding units to your code.", "", "- [`unum`](http://home.scarlet.be/be052320/Unum.html)", "- [`buckingham`](http://code.google.com/p/buckingham/)", "- [`magnitude`](http://juanreyero.com/open/magnitude/)", "- [`piquant`](http://sourceforge.net/projects/piquant/)", "- [`units`](http://pypi.python.org/pypi/units/)", "- [`dimpy`](http://www.inference.phy.cam.ac.uk/db410/)", "- [`quantities`](http://packages.python.org/quantities/index.html)", "", "Each has their own advantages and disadvantages. In my research, I use `quantities` because it integrates well with NumPy and Matplotlib, and the syntax makes sense to me.", "", "Using Quantities", "----------------", "", "With Quantities imported as `pq`, our code becomes" ] }, { "cell_type": "code", "collapsed": false, "input": [ "mp = 0.115 * pq.kg", "vp = 35.0 * (pq.m / pq.s)", "mo = 0.265 * pq.kg", "vo = 0.0 * (pq.m / pq.s)", "v = (mp * vp + mo * vo) / (mp + mo)", "print v" ], "language": "python", "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "10.5921052632 m/s" ] } ], "prompt_number": 7 }, { "cell_type": "markdown", "source": [ "Our answer now includes the units! Already, our code is easier to use than before incorporating units.", "", "Dimensional analysis is happening in the background, as well. Observe what happens when the units are omitted from one of the numbers." ] }, { "cell_type": "code", "collapsed": false, "input": [ "vo = 0.0 # It's just zero, who cares...", "v = (mp * vp + mo * vo) / (mp + mo)" ], "language": "python", "outputs": [ { "ename": "ValueError", "evalue": "Unable to convert between units of \"kg\" and \"kg*m/s\"", "output_type": "pyerr", "traceback": [ "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m\n\u001b[0;31mValueError\u001b[0m Traceback (most recent call last)", "\u001b[0;32m/Users/Trevor/Programming/git/pyconca2012/\u001b[0m in \u001b[0;36m\u001b[0;34m()\u001b[0m\n\u001b[1;32m 1\u001b[0m \u001b[0mvo\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;36m0.0\u001b[0m \u001b[0;31m# It's just zero, who cares...\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 2\u001b[0;31m \u001b[0mv\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;34m(\u001b[0m\u001b[0mmp\u001b[0m \u001b[0;34m*\u001b[0m \u001b[0mvp\u001b[0m \u001b[0;34m+\u001b[0m \u001b[0mmo\u001b[0m \u001b[0;34m*\u001b[0m \u001b[0mvo\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;34m/\u001b[0m \u001b[0;34m(\u001b[0m\u001b[0mmp\u001b[0m \u001b[0;34m+\u001b[0m \u001b[0mmo\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m", "\u001b[0;32m/Library/Frameworks/EPD64.framework/Versions/7.2/lib/python2.7/site-packages/quantities/quantity.pyc\u001b[0m in \u001b[0;36mg\u001b[0;34m(self, other, *args)\u001b[0m\n\u001b[1;32m 61\u001b[0m \u001b[0mother\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mother\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mview\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mtype\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mQuantity\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 62\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0mother\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_dimensionality\u001b[0m \u001b[0;34m!=\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_dimensionality\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 63\u001b[0;31m \u001b[0mother\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mother\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mrescale\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0munits\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 64\u001b[0m \u001b[0;32mreturn\u001b[0m \u001b[0mf\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mother\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m*\u001b[0m\u001b[0margs\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 65\u001b[0m \u001b[0;32mreturn\u001b[0m \u001b[0mg\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", "\u001b[0;32m/Library/Frameworks/EPD64.framework/Versions/7.2/lib/python2.7/site-packages/quantities/quantity.pyc\u001b[0m in \u001b[0;36mrescale\u001b[0;34m(self, units)\u001b[0m\n\u001b[1;32m 194\u001b[0m raise ValueError(\n\u001b[1;32m 195\u001b[0m \u001b[0;34m'Unable to convert between units of \"%s\" and \"%s\"'\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 196\u001b[0;31m \u001b[0;34m%\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mfrom_u\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_dimensionality\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mto_u\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_dimensionality\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 197\u001b[0m )\n\u001b[1;32m 198\u001b[0m \u001b[0;32mreturn\u001b[0m \u001b[0mQuantity\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mcf\u001b[0m\u001b[0;34m*\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mmagnitude\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mto_u\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", "\u001b[0;31mValueError\u001b[0m: Unable to convert between units of \"kg\" and \"kg*m/s\"" ] } ], "prompt_number": 8 }, { "cell_type": "markdown", "source": [ "This occurs because now we're trying to add a number in $kg$ to a number in $kg \\cdot m/s$.", "", "`quantities` is built on top of NumPy (its `Quantity` class is a subclass of `numpy.ndarray`), which means we can do the same exploration as before with no change in the code aside from declaring our variables with units." ] }, { "cell_type": "code", "collapsed": false, "input": [ "mp = np.arange(0., 2.05, 0.05) * pq.kg", "vp = 35.0 * (pq.m / pq.s)", "mo = 0.265 * pq.kg", "vo = 0.0 * (pq.m / pq.s)", "v = (mp * vp + mo * vo) / (mp + mo)", "plt.plot(mp, v)" ], "language": "python", "outputs": [ { "output_type": "pyout", "prompt_number": 9, "text": [ "[]" ] }, { "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAX8AAAEGCAYAAACNaZVuAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nSUVORK5CYII=\n" } ], "prompt_number": 9 }, { "cell_type": "markdown", "source": [ "It also provides some nice shortcuts to make nicer, less error-prone plots." ] }, { "cell_type": "code", "collapsed": false, "input": [ "plt.xlabel(\"Mass of puck in \" + mp.dimensionality.string)", "plt.ylabel(\"Velocity of pucktopus in \" + v.dimensionality.string)", "plt.plot(mp, v)" ], "language": "python", "outputs": [ { "output_type": "pyout", "prompt_number": 10, "text": [ "[]" ] }, { "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAZYAAAEdCAYAAAAvj0GNAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAAAASUVORK5CYII=\n" } ], "prompt_number": 10 }, { "cell_type": "markdown", "source": [ "Defining new units", "==================", "", "Sometimes we're dealing with a non-standard quantity, or we want to translate a real quantity to something we're using in our code (e.g., a mapping from real-world lengths to length in terms of pixels in a GUI application).", "", "Non-standard units example", "--------------------------", "", "Suppose we're part of the PyCon Canada organizing team. If every PyCon attendee drinks on average 200 mL of milk, how many bags of milk should we order?", "", "To make a new unit, we use the `UnitQuantity` class." ] }, { "cell_type": "code", "collapsed": true, "input": [ "bags = pq.UnitQuantity('milk bags', pq.L * (4. / 3.))", "person = pq.UnitQuantity('person', pq.dimensionless * 1)" ], "language": "python", "outputs": [], "prompt_number": 11 }, { "cell_type": "markdown", "source": [ "This puts our new units (milk bags and persons) in terms of known units. A milk bag is 4/3 L, and a person is 1 thing that doesn't have a dimension.", "", "We can then express our need in terms of milks bags and persons." ] }, { "cell_type": "code", "collapsed": true, "input": [ "need = 200 * (pq.mL / person)" ], "language": "python", "outputs": [], "prompt_number": 12 }, { "cell_type": "markdown", "source": [ "If there are 250 PyCon attendees, then we would need to buy" ] }, { "cell_type": "code", "collapsed": false, "input": [ "need *= 250 * person", "print need" ], "language": "python", "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "50000.0 mL" ] } ], "prompt_number": 13 }, { "cell_type": "markdown", "source": [ "of milk. This is a big number; let's express it in litres instead." ] }, { "cell_type": "code", "collapsed": false, "input": [ "print need.rescale(pq.L)" ], "language": "python", "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "50.0 L" ] } ], "prompt_number": 14 }, { "cell_type": "markdown", "source": [ "Since we have defined how milk bags translate to litres, we can put this quantity in terms of milk bags instead." ] }, { "cell_type": "code", "collapsed": false, "input": [ "print need.rescale(bags)" ], "language": "python", "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "37.5 milk bags" ] } ], "prompt_number": 15 }, { "cell_type": "markdown", "source": [ "We can't purchase fractional bags. But since a `Quantity` is a subclass of `ndarray`, we can use NumPy's number manipulation capabilities to give us a clean answer." ] }, { "cell_type": "code", "collapsed": false, "input": [ "print np.ceil(need.rescale(bags))" ], "language": "python", "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "38.0 milk bags" ] } ], "prompt_number": 16 }, { "cell_type": "markdown", "source": [ "### Final words", "", "`quantities` isn't perfect; (degrees stuff)", "", "One last thing to say about `quantities` is a simple trick. If you ever find yourself needing the raw `float` value being represented, use `Quantity.item()`." ] }, { "cell_type": "code", "collapsed": false, "input": [ "print need.item()", "print need.rescale(bags).item()" ], "language": "python", "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "50000.0", "37.5" ] } ], "prompt_number": 17 }, { "cell_type": "markdown", "source": [ "A real-world example", "====================", "", "These toy examples have hopefully convinced you that physical quantities are easy to use. But what about when you scale up to real scientific research code?", "", "I originally started using `quantities` because it is used by [Python-Neo](http://packages.python.org/neo/), a package I use for neuroscientific data analysis. In my experience, I have had very few occasions where I had problems because of `quantities`, but many occasions where using `quantities` has improved my code significantly.", "", "Spike data", "----------", "", "One of the types of data that neuroscientists collect is the times at which a neuron spikes.", "", "We can generate some sham data (that doesn't match the statistics of real spike trains, but is good enough for illustrative purposes) with the following function." ] }, { "cell_type": "code", "collapsed": true, "input": [ "def generate_spikes(filename, neurons=20, time=20 * pq.s, event=11 * pq.s):", " with open(filename, 'w') as f:", " # Choose random rates", " rates = np.random.randint(2, 10, size=neurons) * pq.Hz", " for rate in rates:", " # Randomly generate spikes", " spikes = np.random.uniform(0, time, size=time * rate)", " # Add spikes around the event", " spikes = np.append(spikes, np.random.normal(event, size=rate * 5))", " # Sort and save to text file", " np.savetxt(f, (np.sort(spikes),), fmt=\"%f\", delimiter=', ')", "", "# Uncomment to call this function", "# generate_spikes(\"spikes.csv\")" ], "language": "python", "outputs": [], "prompt_number": 18 }, { "cell_type": "markdown", "source": [ "We can then load that comma-separated value file into a list of `numpy` arrays with the following function.", "", "Note that this cannot be loaded into a two-dimensional array because each individual spike train may be of different length." ] }, { "cell_type": "code", "collapsed": true, "input": [ "def load_spikes(filename):", " with open(filename, 'r') as f:", " lines = f.readlines()", " return [np.array(map(float, line.split(','))) for line in lines]", "", "spiketrains = [st * pq.s for st in load_spikes(\"spikes.csv\")]" ], "language": "python", "outputs": [], "prompt_number": 19 }, { "cell_type": "markdown", "source": [ "We can plot these spike trains using a scatterplot. This is called a *spike raster* plot." ] }, { "cell_type": "code", "collapsed": false, "input": [ "def raster_plot(spiketrains, event=None, window=None):", " plt.clf() # Start a fresh plot", " if event is not None:", " event.units = spiketrains[0].units", " plt.axvline(event, lw=2, color='r')", " plt.text(event, len(spiketrains) + 0.01 * len(spiketrains), \"Event\",", " color='r', horizontalalignment='center', fontsize=12)", "", " if window is not None:", " window.units = spiketrains[0].units", " plt.axvspan(event + window[0], event + window[1],", " facecolor='#9696FF', zorder=0, ec='none')", " ", " lastspike = 0.0 * pq.s", " firstspike = np.amin(spiketrains[0])", " for j, st in enumerate(spiketrains):", " lastspike = max(lastspike, np.amax(st))", " firstspike = min(firstspike, np.amin(st))", " plt.scatter(st, j * np.ones(st.shape), marker='|', color='k')", " plt.ylim(-1, len(spiketrains))", " plt.xlim(firstspike, lastspike)", " plt.xlabel(\"Time in \" + spiketrains[0].dimensionality.string)", " plt.tight_layout()", " plt.show()", "", "raster_plot(spiketrains)" ], "language": "python", "outputs": [ { "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAZcAAAEICAYAAACTVrmbAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzsvXl4VEX2///u7vSStZPO1tl3knTS6ewJSchGICwBRFAW\nQUVUUBR0ZgQVF3CHEZFBlkFFXHEQlUURRBYRQlgMw27IDgnZ9z109/n9kd+9053uBHDiqJ9vvZ6n\nH3KrTlWdOlX3Ft11zykBEREYDAaDwRhChL+3AgwGg8H4vwdbXBgMBoMx5LDFhcFgMBhDDltcGAwG\ngzHksMWFwWAwGEMOW1wYDAaDMeTc0uKSm5uLrKwsuLi4QKlUIicnB5cuXTKSqaiowPLlyxESEoKg\noCAsWLAAnZ2dv4nSDAaDwfhjI7iZn0tJSQmCgoLg4OCAOXPmoLu7G5988gm6u7vx888/Q6VSQa/X\nIy4uDufOncPcuXPh5OSEt99+G3Fxcdi/fz8sLCz+V/1hMBgMxh+Amz71N2zYACsrK5SVlcHGxgYA\n8OSTTyIoKAhLlizB7t27sX79epw5cwZ5eXmIj48HACQkJGDSpEnYuXMnpkyZ8tv2gsFgMBh/KAb9\n5tLd3Q0vLy+kp6fjiy++MMpLS0vDL7/8gpqaGoSHh8Pa2honTpwwkvHw8IBGo8GePXt+G+0ZDAaD\n8Ydk0G8uEokEeXl5sLS0NEonIly9ehUSiQQAUF5ejvnz55uUT05ORm5u7hCqy2AwGIw/A4Nu6AuF\nQgQEBMDd3d0o/dixYygvL0dcXByamprQ0dEBhUJhUt7BwQG1tbVDqzGDwWAw/vDc9k57a2sr5s2b\nBwsLCyxbtgxlZWUAMODiotVq0djYaJIvEAh+ncYMBoPB+MMw0M7Kbfm5tLe3Y+LEibh8+TKWLl2K\niIgI6HQ6AIMvFgO9LUZE7PM/+rz44ou/uw7/r32YzZnN/69/BuOWv7k0Nzdj7NixOHHiBP7yl7/g\nxRdfBAAolUo+vz9NTU2Qy+Wws7O71WYYDAaD8X+AW1pcWltbMXr0aJw+fRqPPfYY3nzzTT7P1dUV\nAoEAjY2NJuUaGxvh4+MzdNoyGAwG40/BTX8Wa29vx9ixY3H69Gk8+eST+Mc//mGULxaLERwcjCNH\njhilExGOHTvGFpc/COnp6b+3Cv/PwWz+v4fZ/I/DTReXZ599FsePH8eiRYuwatUqszIPP/wwTpw4\ngXPnzvFpu3fvRnV1NR599NGh05bxq2E33f8eZvP/PczmfxwGdaIsKiqCSqWCjY0NVq9eDZFIZCIz\na9YstLS0QK1Wo6enB4sWLUJnZyfWrFmD7OxsbN++3XzDAsFNN4QYDAaD8cdlsOf4oIvLxo0b8eij\njw5YgUAg4N8Wq66uxsKFC3H06FG4u7tjxowZmDt3Luzt7W9bKQaDwWD88Rn0OU6/E4ZNz5s3j959\n910iIkpPT6cjR44QEdHcuXPpgw8+IGdnZ2poaDBbz8iRI8nV1ZU++OADo/TXXnuNJBIJTZs2jT79\n9FOSSqW0Z88eysnJMZJbt24dPf7440Zp+/bto7FjxxqlVVVVkZ2dHbm4uNCWLVsoPT3dRJcffviB\nRo8eTa+99ho999xzpNFo6Pz582b1Pn78OEmlUhIIBHT06FGysrKiBx98kIiI/Pz8qLy8nNavX08A\nqKuri7KzsykhIcGojr/97W/01ltv0f79+0kul9PixYvJzc2NgoODSaPR0DPPPENPPPEEERF1dXWR\nTCaj+Ph42rRpE82fP9+orrVr11J2djbNnj3bRFe9Xk8WFhY0atQoioiIIFtbW9q1axdvo9zcXAoP\nD6dRo0aZ7SsR0fLlyykuLo5WrFhBHh4eRnk+Pj6kUCjo2LFjfJrhPBiMV199lZ5//nm6++67SaVS\n8elTpkyhr7/+mr9+4YUXaPbs2TRx4kQSiUSUkJBAlpaWNGzYMNq2bRulpKRQZGQknTt3bsC2MjIy\n6J///CclJCTw+lVXV5OLiwt5eXlRbGwsubu7k0QiIUtLS3Jzc6PLly/TggULaMOGDRQdHU2+vr6k\nUCjozjvvJKVSSQAIAFlYWJBcLqc777yTAJCdnR3V1NQQEdH48eNJLpcTAIqOjiaxWEwASCAQ0N13\n301z586lhx56iACQRqMhKysrIiJqamoimUxGAoGAANDWrVtJIpHQ9OnTKTY2lr755huz/Xz44Ydp\n3rx5NGPGDCIicnV1pezsbJJKpbxMUFAQhYSEUEJCAh0+fJgWLFhA77zzDolEInrrrbdM6hSLxfTX\nv/7VJG/kyJFkbW1NR48eJQC0efNmk7LNzc2kUCj46w0bNtCCBQuMZNavX0+PPfaYSdmDBw9SVlYW\nBQcH06FDhyggIICIiF5//XVaunQpKRQKysnJoZ07d5q1xUAIhUKSyWQkEokIAP31r38llUpFwcHB\ndOHCBSPZbdu20fTp02+rfn9/f7r33nspJyeHli9fTuHh4XTp0iUjma+//pqmTJnCX3/88cd03333\nGcm89NJLtGzZMiIi8vX1pVmzZtGmTZuIiOiXX34hlUpFcXFxFBsbS8HBwURE9Oijj5KbmxslJyeT\nl5cX3X///URE9Pbbb9Nf/vIXGjt2LM2aNYtefvllGmwJ+UOEK9bpdPzqZ+5vrVY7YFm9Xg+9Xm+y\nenLphnUQEf9Nq7+cIebk+rdlLp9L5+QG05v6vSfO6QqALzdQvjl9iMioz1qt1qRvOp2Ot4e5ugbq\nF6cT17f+tuTaHqisYf3m7GLYB0Nd+4/pQPUa1j1QeUPbcB+uT1xfBhsvwzoN7cila7Va/qPX6yEU\nCnl7cG3318FQX8Mx5Mr0191Qjvu7/7j1v18M7w0uj2t7IPvqdDqIRCK+TkN7cXB/G9re8NMfc/Ox\nv36cjubo3ydz9Zhrt//YGurNzcXBbDEQ/ee8YV0D6XA7GNproGdJ/3pv9nwz11duzgoEAqO51/9Z\nZlhX//SBYIeFMRgMBmPIYYsLg8FgMIYc0bJly5b9Hg0vX74cXNMCgQDBwcFwc3ODQCBAZGQk7O3t\nIRAIEBISAjc3NyQnJ0MsFpvU09raCltbW9xxxx18tACuTiLChAkTEBYWBqVSibS0NDg5OUGtVhvV\n4enpiaCgIKOyCoUCERERRnL19fXQaDQYPXo0PDw8EBkZaaKPQqGARqOBj48P/P39ERcXB2tra7M2\nOH/+PBwcHPDggw+ip6cH48aNQ3BwMAQCARITEyEWi5Gfn4958+aho6MDQUFBSE5ONtIzMDAQXl5e\naGhowJgxYyAWi5GSkoK0tDRERkYiKCgIgYGBAIDOzk6MHj0aMTEx8PDwwLBhw4z0kcvliIuLQ2ho\nqImuQqEQcXFxCAwMRGpqKlJSUuDs7MzbSCgUIiUlBRqNxmxfBQIBbG1tkZSUBF9fXyQlJfF5jY2N\n8PDwwKRJkyCXy3l5bh7cDF9fXyiVSri7uyMjI4MvHx4eDicnJ/5aqVRCo9HA19cX2dnZiI2NxYgR\nIxAfHw+lUomYmBjExsby5xaZs0FYWBi8vb0RExODyMhIyOVyEBHi4uKQnp6O6OhoODk5wdvbG2lp\nacjOzoa1tTWCgoJgZWUFd3d3REdHIysrC+7u7tDpdFAoFAgPD0dISAhycnJQUVGB8ePHY/z48ZBI\nJOjp6YFUKsX169dxzz33QCKRwNbWFl5eXnjggQcQGBiI8PBwnDlzBjNmzEB6ejpSU1MBANeuXYNe\nr4e1tTUWLlwIpVKJ9PR0eHp6Ijk5GY6OjmbHytvbG2FhYVCpVGhubsaIESMQExODtLQ0XiYqKgrR\n0dFISEiAg4MDgoKC0Nvbi8mTJ8PLy8ukzrS0NH6+crS2tkIsFuOuu+7Cjz/+iIceesgkUC7QF6E9\nJSWFvzZ3z3p4eBilcSgUCkRGRiI+Ph4KhQKJiYn8vAkICMDw4cOh0Wj4uXIrXLp0CampqRgxYgSq\nq6uxYMECBAcHIyIiAklJSSb3vKurK1Qq1S3XLxQKERMTAx8fH8TFxcHPz8/kWSIQCODs7Izw8HD+\nWqlUGt2/AoEAvr6+8PX1hVAoRGxsLMLDw3kb29jYICEhAX5+foiIiEBqaip6enogkUgwYcIEuLu7\nIzU1FeHh4RAIBPDy8kJgYCCCg4OhVquxZcsWDLSE3PQkyt8K9rYYg8Fg/LkZ7DnOfhZjMBgMxpDD\nFhcGg8FgDDlscWEwGAzGkPOH8HMB+t7RvnLlCoKDg03yiouL4e3tzW/oV1RUwNraGsXFxRCLxdDp\ndIiOjr5pPRw9PT04ffo0NBoNzp49C5VKBQcHBz6/rKwMLS0t0Gg0aG5uRnd3t9HLAv3runr1Krq7\nu2FhYQGhUAhra2t4enqayF64cAFisRhisRj+/v4AgJKSEvT29qKyshKxsbG4dOkSBAIB/P39YWFh\nwR+yVlVVBSsrKwgEArS3txttel6/fh02NjZGRxvU1dVBKBTyG7bl5eVwcXGBpaWl0d8lJSXo6upC\nWFiYyVjIZDL09vbC3d0dAoEA9fX18Pb2NupTQUEBgoODce3aNdjb26OqqsrkRYGSkhJ4enqivLwc\nEokEjo6OqKqqgr+/Px9SqL6+HgBua1PVkCtXrkAsFkOpVJocyw30vTSg1WrR3NyMwMBA9PT0oLa2\nFo6OjmhuboarqyuuXr2KgIAAAMCBAwfg4uJi9PJHU1MTent70dnZia6uLly9ehWenp5ob29HYGAg\nnJyc0N3djerqavj6+gLom6v5+fkYM2YMJBIJ9Ho9PvroIxQXF+OZZ57B4cOHoVar4eXlhZ9//hlK\npRJSqRTff/89LC0tERsbi56eHgB9cy0sLAyXL19GS0sLhg0bBoVCgYqKCtjb26O1tRXt7e1oaWlB\nXFwcOjo60NjYCDc3N5SVlSEwMBAHDhxAcnIy6uvrUVpaCr1ej7S0NJN7bCAOHjyItrY2REREwN3d\nHVKpdMB7hLO5i4uLST1arZbXCeibr11dXejp6YFYLObtBwA3btzgx+bq1avQ6XSQSCQoLCxEWlra\ngGdJ9R+L/vR/VlRWVsLOzg62trYmsrW1tejs7ER9fT1CQ0NNNuy5udHa2mo0r81RXFzM26Crq4sf\nu4iICKP7tq2tDa2trfDw8EBJSQl6enoQGBjIj1F7ezuam5uNnjXXrl2DQqGAtbU1dDodf18EBgai\nrq4OHR0dkEgkZl+aGHIGdK/8jenfdG9vL1lYWJiV9fb2prKyMv56/PjxtHnzZpLL5RQSEkISiYTP\n6+npIbFYPGjbFy5cIGtra/r2229JIBDQ22+/bZQ/fvx4cnV1JaI+z9/+3uz96xo2bBjZ2dnx3q5j\nxowxK6tSqSgzM5P8/Pz4tMDAQPL19SWJREJffPEFKRQKcnNzo0WLFtHq1at5uTlz5tD7779P//rX\nv+iuu+4yqnfmzJn0ySefGKUtXryY3njjDf46Li6OTpw4QUREiYmJlJubS0REkyZNosjISKOyWq2W\nhEIhDR8+nGJiYuiHH36gn376iZKTk036xI3jqFGjaPfu3UZjweHn50fFxcXk4OBA2dnZtGvXLpLL\n5dTU1MTLPP/887R8+XKzdrsVrK2tKS4ujo4fP242f/Xq1bRo0SKSSCTU3d1NeXl5FB8fT3v27KEx\nY8ZQWVkZeXt78/KWlpYUGxtrVMe6devokUceoeDgYMrMzCSxWExqtZqUSiW98MILRER05swZ0mg0\nfJkJEyYQAPrll1+IiKi9vZ33yj906BAJBALey9rDw4MWLVpEL774IolEIpJKpTR16lRyc3Oj8PBw\nsre3J6K+8fPx8aG///3vREQ0duxY+vbbb2nmzJk0atQokslkRER04MABysjIoKqqKn4+A6CLFy/S\nww8/THK5nL9XfHx8qLS09KZ2trW1JYFAQKGhoXTx4kUiInr33Xdp7ty5JrJvvfUWHyGiP3V1deTo\n6MhfL1myhObMmUOJiYkm8/Hq1avk6elJREQpKSk0adIkeuyxx0ggEFBvb++Aup49e5bUavWA+dw8\n55gyZQp98cUXZmUXLVpE06dPJ3d3d9q3b59J/po1a+jxxx8nW1tbamlpGbBNoj5bx8fHU1RUFAmF\nQpoxYwYFBQUREdGzzz5Lr7zyChERffnllzR58mQiIgoICCAPDw+jMfrmm29o3LhxRnVnZmbSDz/8\nQER9ERpsbW15Oy9evJimTZtGM2fOHFS/22GwJYT9LMZgMBiMIYctLgwGg8EYctjiwmAwGIwh5w/h\noQ/0OeNERESY9Q4PCQmBSqXiN7J8fX0RHh6OgIAAZGVlITs7m9/QFwgEUKvVZuvhkMlksLe3x6hR\no+Dh4YGcnBx+4xwA3N3dkZiYiIiICDg6OiI8PBxubm4D1hUaGoqsrCyMHj0aGRkZyM7ONtn4BgBn\nZ2eMGDECEydO5Dcyg4ODkZWVhWHDhmH8+PFQKpXIyMjAxIkTER4ezuvl6emJsLAw+Pj4IDw83GgT\nz9vbGyqVivduBwA3NzeEhYXxG+SBgYFQqVSwtLTk/7aysoKTkxPi4uKMNvQ5G+bk5CApKQnR0dFw\ndnaGWq022RzlxszPzw8qlQpJSUkICQkxkgkODoZKpUJkZCSysrKgVquRmJiI0NBQfuPT1dUVYWFh\ncHZ2HnDcBiMsLAxjx45FeHi42Q19JycnhIWFISsri9+QVavV/CcgIABqtZr38NbpdPwYcDg6OiIs\nLAxpaWmIiYmBr68vpk2bhujoaEyYMAHOzs6QyWRQq9X8Cxve3t6Qy+WYOHEipFIphEIhysrKIBaL\n8eSTT0IgEGDOnDnw8vKCXC7HqFGjEB0dje7ubgwfPhwPPPAAsrOzMXr0aIwaNYqPOqDRaDB27Fg4\nOjrC19eX96aPiIhAYmIi781t2Ldhw4aBiJCdnQ0vLy/4+fkhLS0NKSkpCAkJQWhoKCQSyaB21uv1\niIiIwMKFC6FSqSCVSuHg4AC1Wm1yjzg5OSE8PByurq4m9YhEIkRERPAvfyiVSqhUKiQmJmLs2LG8\n/YC+024jIiIQFBSEgIAAJCQkIDY2Fr6+vkhNTR1wQ7//WPSn/7OCi0pg+GIMB3c/RUZGIjU11SSK\nA/ecGDlypNG8NkdISAgyMjKQmpqKUaNGYeTIkYiOjkZERASUSiV/39rZ2UGtVsPT0xPBwcEYNWoU\nIiIi+DGytbXlXwbh8Pf3h0qlgrW1NYRCIVQqFaZMmYJhw4bBzc0NoaGhSE1NhYeHx4D63Q79n+OG\nMA99BoPBYPwqmIc+g8FgMP6nsMWFwWAwGEMOW1wYDAaDMeT8IReXxsZGHDx4EF9++aXZ3/MqKytx\n/Phxs2Vv3LiBnTt38td5eXmoqKgwkqmpqcFPP/00qA69vb3YtWvXr9B+6DDs//nz51FQUACgz+M9\nPz8fQJ9n++HDh82Wb2trw5IlS7B///5baq+hoQGHDh3ir/Pz8/H555+jtrZ2wDJ79+5Fe3s7f33q\n1CmUl5fftK3q6mocPXoUQF+Egdzc3FvS0ZCqqiocO3bMKO3ChQvIzc3FO++8g927d6OysvKW6+vq\n6sK3337LX3/77bfo6uoatIzhXDxw4AAOHz6MkpKSQcvs2LEDWq0WX375JbZt24bdu3cb5X/55Zd4\n4403UF9fj/z8fJSUlODKlSs4efIkNm3ahHXr1qGjowPnz5/HsmXL8O9//9uofFtbG9577z2cP3/e\nbPvXrl3DiRMn0NjYiM2bN+Py5csmMv3vo8Hg6vtvaGlpwf79+9HT02Nij/4cOHAAdXV1ePXVVwed\nmx9//DF27NiBV155ZcA6GxsbsW/fPv5e/+qrr26p/aamppv06D/37IkTJ3Dt2jWjvJ07d+LGjRsA\nzNvv66+/vu3TK2+HoqIivPnmm79Z/QD+OB76hnDe00KhkLRarUn+9u3b6c477zRbtrm5mezs7Phr\nc163+/btG/S8dyKihoYGcnBwGFTmt0YgEJBOpyMiY4/7DRs20Lx584iIBvScJyIqKCgggUBACQkJ\nt9Te8ePHjWQfeughCgkJ4T1+zcF533PMmjWLPvroo5u2tXfvXho9ejQREe3cuZMmTJhwSzoaYs5D\n+emnn6YHH3yQFAoFJSYm0ldffXXL9V2/fp2USiV/rVQq6fr164OW+eqrr+iOO+4gIqKYmBiaPHky\nbdy4cdAylpaW1NHRQQBILpcbRWwg6ovkYGtrSz/99BM9/PDDtHHjRlq5ciXNmzeP7OzsyM7OjkpL\nS+mpp54ia2trev75543KFxQUkKOjIy1ZssRs+1u3bqVp06ZRXl4eubu708svv2wi09LSQra2toP2\ng+Pzzz+nu++++5ZkB+L8+fMUFhZG9fX1pFAoBpWNiYmhn376iYRCIR08eHBAORcXFxo+fDjZ2tpS\nRkaGWZmTJ09SZGQkH/0gJCTEJEKAufZPnTp1kx4RPfXUU7RixQqaNm0abd261SjPxsaGWltbieg/\n42GIVCqlrq6um7bxa/nnP/9pNprG7TLYc/wP+c2FwWAwGH9u2OLCYDAYjCGHLS4MBoPBGHL+kE6U\nXV1dqKurQ3d3N4KCgkw8cNva2tDW1mY2bLROp0NpaSnvAX/9+nXY2toahdHu6OhAU1OT2bD4A9Xz\ne3DlyhW+/3V1dRCJRFAoFGhubkZPTw9cXV15W5mLCNDb24uDBw8iODgYfn5+N22vf101NTWoq6uD\nv78/rKyszJYpLS2Fh4cH7zVcVVUFa2trs17OhhiOARcm/na9hs2Vq6urQ09PD6qqqmBvbw+lUmk2\nhLo5tFotysvL+bD7xcXF8PHxgYXFwCdTGM5F7kUGuVwOe3v7AcsUFhYiICAARUVF0Gq1kEgkRvPs\nl19+QW1tLeLi4tDa2gqpVAq9Xo/u7m7U1NRAq9UiMjISzc3NOH/+PFQqlVG4+97eXly8eBGenp5m\nIx60traio6MD9vb2KCgogJeXF380A8ftzP/B7sdbhRszLy+vm7ZbXl4OZ2dnnD59GrGxsQPOzfPn\nz0MsFqO6uhru7u4mR0EAfWH5r1+/Dr1ej8DAQBQUFEAoFPKRGgZq39XVFTKZbNA+cfdsT0+PyT3B\nzQGhUMiPh2GEA8P834KmpiZcvnwZSUlJ/1U9gz3H/5CLC4PBYDD++DAPfQaDwWD8T2GLC4PBYDCG\nHLa4MBgMBmPI+V1D7j/33HOYMGECqqur0dTUhJaWFuTm5uLzzz/Hrl278OGHH2LkyJFmQ6gDfeda\nz5s3D3FxcSguLsapU6f487AN2bhxI44cOQJPT0+jsPT9WblyJaKiosyeI/7xxx/jgw8+wOrVq5Gf\nn4+vvvoKEyZMMJE7efIktm7divb2dgQEBOD69evQaDRwdXVFTU0NPvvsM5w9exYikQhOTk6YOnUq\ngoKCsGLFCmzevBlHjx5FREQE7Ozs8M0336C1tRXu7u7YunUrJBIJhEIh3n33XSQkJPBtXrlyBR9/\n/DEKCgpgY2ODPXv2wN7eHuvWrUNFRQV0Oh02b96Mxx57DN3d3Whvb0d1dTVefPFFdHZ24rPPPoOV\nlRUfunvcuHEYM2YMv1FqqMf333+PmpoaozDfhrS0tGDNmjXIzc1FcnKyUd53332HxsZG7N27F52d\nndi3bx8eeeQRBAQEGL1wcOXKFezbt8/o/HoAeOSRRyCRSPgNd0M2b96MvLw8WFlZmT2z/YMPPoBC\noYC9vT0aGxvx3HPPQafT4bPPPkNlZSVkMhm/qb1x40Z4enrCxsYG69atw48//gitVoulS5eisLAQ\nkZGRyMvLQ3FxscmLEqtWrUJoaCjc3Nyg0+lQVFSEEydO4LHHHoNWq8XRo0dx5coVbN68GZWVldiz\nZw+2b9+OZ555BkKhEC0tLdi0aRPkcjkuXLiAuro6eHl5Yc2aNQgODsb27dvx0ksvYePGjairq4Of\nnx+2bt2K8vJyvPjii3j//fexZ88eLFq0CF1dXWhra8OcOXPw4osvQq/XY9OmTdiyZQuOHj2KH3/8\nETKZDB988AEuXryIb775BsXFxfzxFQDw7rvv4sSJE7C1tYVCocDLL7+MtLQ0bN68GadOncKuXbtw\n9OhR5OXlQalUYs+ePYiIiDA7Nzh6e3uxYsUKjBgxAgBQVlaGHTt2oLu7GxcuXMAXX3yB+Ph4WFhY\nYPv27diwYQPGjRsHAFi7di0CAwNNNvGLioqM2i4oKMAnn3yCw4cPo6Kigj86oaOjA2vWrEFtbS0q\nKirw4Ycf4r333sOUKVNw4MABfPrpp3B0dISLiwu2bNkCe3t75ObmoqmpiX9xpLy8HK+88gqsra3h\n7e2Nb7/99qYvpGzcuBF79+5Famoqn5afn2/yzDK0zY4dO7Bt2zbs3bsXUqkURUVF8Pf3N3t/bNu2\nDQKBAM7Oznj88ceh1Wrh7e2Nt956CykpKWhpacG0adNQXFyMw4cPQyqV4ty5cyYvLuzbt4+fc4Yc\nPnwYr732GiZMmIDCwkLs3bsXERERg4bc/1099Lu6ukggEFBKSgrNnz+f1q9fT3fddReFhISQi4sL\nSaVSKikpGbCO8+fPk6WlJeXm5tJ7771HDzzwgFm5iIgI0mg0dOzYsUF1UigUVF9fbzYvKyuLnJ2d\nSSQSkZeX14De+2vXrqWkpCT661//SkRE+fn5BICmTZtGzzzzDGk0GsrMzKQNGzZQe3s7CYVC2rJl\nC7m6upKNjQ0plUo6efIkERHNmzePNmzYQER9Z7Hv3LmTioqKyN/f36jN3bt3U0JCAmVkZNB3331H\n2dnZ9NNPP1FoaCjl5OTQBx98QHFxcQSAPD096W9/+xutXLmSJBIJzZkzh/z9/enNN9/k6wNAhYWF\n/DXnJU5E9Je//MVItj9Xr14lNzc3s17Wjz/+OK1Zs4bi4+Np9erVlJ6eTgD48+c5zHneExHJ5XJa\nunSp2XaTk5MpPT2dtm3bZjY/JSWFjhw5QkREhYWF5OTkRI8++igBoHHjxtE333zDy2o0Gjpz5gwR\n9XlsBwcH08qVK0ksFpOzszNVV1fTyy+/bFYXNzc3Ki4uJgCUlJRE48ePJ41GQwBo6tSplJCQQJmZ\nmSQSiSiY5njfAAAgAElEQVQzM5McHR3J1taWAFBMTAy9+uqrFBAQQOvXr6cnn3ySVq1aRUREvr6+\nVFJSQqNGjSJra2sSiUQUGhpKp06dopiYGJo/fz5ZW1uTTCYjJycnAkCJiYm0ePFiEolEBIBSU1MJ\nAIlEIrKxsaGAgAB69dVXycPDgxISEsjPz4/Gjh1r1J/Y2FhKS0ujr7/+2ujM+aSkJMrOzqaAgACK\niYmhmJgYo6gLg9HW1kbW1tb89aFDhygtLY1Wr15NixYtMjqHftasWWRpacnLBgYG0pUrV0zq7N/2\nzp07KTExkdRqNU2aNIlPr6mpIWdnZ5o9eza9+OKL5OfnRzKZjIj6ojuo1Wr6/PPPiYgoNTWVDh8+\nTI8++ii98847fB0//vgjeXp60ooVK4iI6JFHHqF169YN2udRo0ZRWFiYUZq5Z1Z7eztZWVkREdG9\n995LGo2GXF1d6bXXXqOnn36aiPru9/HjxxuVM4xEYm9vT4899hg1NjbykQfKy8tJLBaTt7c3iUQi\nWrNmDS1YsMBEzyeeeILeeustk/Q33niD5HI5ERHt2bOHxowZQ0TMQ5/BYDAY/2PY4sJgMBiMIWdg\n77D/EQKBAEKhECKRyOy/t1LWsA5zcE5wAx2HymFur8WwjlvRjcvvrwuX1r+8QCAw6odIJOL1NJSz\nsLDg0/vryZXjZLh/uTRD24jFYhM9uM9AGOpxK+MiFouh1+sHrKe/Tv3r4/rQH85G5rCwsDCykbl8\nwzxuPMRisUlef1vrdDreRpztB5pvhmPDyXD1GY4J9+Hq59o1HA9DW3P1cjKG42xYTq/X87pzaYbX\n3PwynI/c3DY3tlxe/7lnOIaG83cwh9OB7GTYB25M+o+TuXKG9G+bu+bs3b9tc/ei4f3A9ZGzlaFd\nuP7ezj1h7plwsznE2bb//WLOzoZz1rCt/vbi5txAbQ/UF8P+3uo4MydKBoPBYPwqhtSJcurUqcjI\nyDBJj4+PN/pfF/e56667bl9jBoPBYPypua2fxVavXo2vvvoK6enpRulEhMuXL2Py5MmYMmWKUZ6P\nj89/rSSDwWAw/lzc0uLS2dmJp556Chs2bDCbX1ZWho6ODkyaNAkzZ84cUgUZDAaD8efjpotLd3c3\noqKiUFRUhAULFmDHjh0mMhcvXgQAhIaGDr2GDAaDwfjTcdM9l+7ubgiFQnz11VdYu3at2TcM+i8u\nvb29t63I4sWLUVxcjMLCQixYsAALFy68aZmMjAxs3779pnJ33303dDodjhw5gjVr1ty2bkDfT4Lc\nme8AcPr0abz++usA+sKFD/SN7eTJk1ixYsWvapPj+vXrePzxx28qN5get8KaNWtw5MiRm8rNnTsX\nS5Ys4a+zs7P50N0PPfQQZs6ciXXr1uHgwYNYt24dZs2ahcuXLyM3NxerVq0CADz11FN46KGHfrWu\nHM899xzy8vKQmJiIo0ePYunSpfjll1/Q0tKCBx54AEuWLEF6ejruu+8+HDhw4LbqNXe2PPAfO127\ndg0zZszAa6+9ZlaupKQEoaGhqKysxLx58/Duu+9i7969A7b5xhtv4NSpU5g5cyb+/ve/44477uDP\niL/33nvR0dEBoO+c908//RQfffQRdu7ciVWrVuHNN99EYmIiX9eWLVuMzoJvbGwc0N5vvvkmxo8f\nP7hB+rFixQqcPHlywPzly5fj3Llzt1UnAGzduhVr167F008/Pajc8ePH/+sz4K9du4YnnnhiUJlt\n27bhX//6l0n6/PnzUVdXZ5R2//33o62t7b/S6YsvvsDnn3+O119/HadPnzbJr6ysxMKFC43m0lDY\nwpAlS5agqKjIKG3RokWYPXu2SZ8H46bfXORyOS5evDjoq3YXLlyAnZ0dVq1ahe3bt+Py5ctQqVRY\nuXIlxowZc0uKHDx4EHfffTf0ej2OHDmCGzdu3LTM2bNnUVpaelO5r776CkSEq1ev4tSpU7ekT39O\nnDhhdN5CVVUVcnNzAQB6vR5ff/212XLXr1/H8ePHf1WbHO3t7di3b99N5XQ6ndlvlrfKqVOnTM71\nMMfJkyfh6urKX585cwbt7e0AgAMHDqCtrQ1SqRRWVlb4+eefcfLkSdTX16O6uhp5eXkAgJ9//hmN\njY2/WleOH3/8EbGxsTh79iwqKipw+PBhjBs3Do6Ojti9ezfCwsJw4cIFNDY2GoXeuJV6s7OzzeZx\ndnJycsLRo0fR2tpqVq65uRkFBQXo6OjAnj17IBKJBp3Xubm5UKlU2LFjB7RaLY4dO4bOzk4AwM6d\nO7F27VoAfaFNWltbodVq4eLigpMnT8LOzg7//ve/+brOnTtndF5Rd3c3vv32W7Pt5ufn3/Yczc3N\nRUhIyID5P/30k0n4n1vh4sWLqK+vR35+/qBylZWV/Fz6tbS2tmL//v2Dyly+fNnsa/V79uzBs88+\na5S2e/du/j9Pv5bLly9Dq9UiPz/fJPwR8J9ngVar5efSUNjCkIMHD2Lq1KlGad9//z1aWlrQ1dV1\ny/Xc9JsL9073YFy8eBGtra04deoUFi9ejMWLF6Ompgbjx4/Hzp07b1kZBoPBYPzfYEicKOfNm4fO\nzk48+eSTfNqzzz4LpVKJxx9/HJMmTTJbzjDg2X/7dZLBYDAYvy3Hjx/H5s2bb0l2yBaX/tjY2CAn\nJwfbtm3DtWvXzEbRNVxcioqKYGVlBb1eb/ZoY3O4ubnd0s84XJRXhUIBX1/fm8qbw8/PDw4ODvy1\nXC7no/MKBAJERUWZLWco92uRSqUICwu7qdxgetwKvr6+UCgUN5Xz8fExOj7X3d2d/1ksJCQE7e3t\n8PHxgaOjI3x8fHDt2jXY2NjA3t4e/v7+AAAvL69bPn54MIYNGwY7Ozu4ubnBwcEBwcHBsLa2hoWF\nBSIiIuDp6Yn6+np4enre0lwxrNfGxsZsHmcnmUyGgICAAY/ktbS0hKOjI8RiMdRqNby8vMweO8wR\nEBAAuVyOqKgo+Pr6wt/fnz8+OjIykv8FQalUwsbGBjqdDgqFAv7+/hCJREY/23p6ehpFh+Z0MIeX\nl9ctHYNtTteBCAoK+lXj6+7uDrFYPOhPbgCM5tKvRSaTQaVSDSrj5uZm9mcxtVpt4v2u0WgGjBJy\nq7i5uUGr1Q5oX+5ZYDiXhsIWhoSEhJhEnVapVGhqakJqaiqmTZvGpy9fvnzAem7bQ5+b9AcPHryp\n7IoVK/DMM8/g559/NnnoMQ99BoPB+HPzmx5z3NzcDI1GY/ati2+++QYCgWDA/9kxGAwG4/8m//Xi\nYm9vD5VKhU2bNhm9pnbp0iUcO3YMEydOHJKfPxgMBoPx52FIQu4/9dRTvLPl0qVLMXv2bGg0Gnh5\neQ3p+9cMBoPB+HNw24uLuY326Oho7N+/HwEBAdiwYQOOHz+OmTNn4uTJk//1ZjaDwWAw/oQMeEbl\nb4xh0x999BG9/PLL/HVPTw+Fh4fz12vWrOGPGV2+fDl98sknVFBQQDk5ObzMU089RTt27OCvr1+/\nTmlpaURENH36dJLL5UZHGO/fv5/c3NyopqaGT1u6dKnJMbkZGRkUGBhIOp2OT2ttbeWPlk1JSaFn\nn32WP2I0NjaWpk6dSkREb7/9ttHxpyNGjKDq6mpav349rV69mlpaWig2NpaIiKysrEitVlNbWxsF\nBweTp6cnKRQK+uyzz0ilUlFcXBytXbuWsrOzqaSkhFasWEHvvfeeka7d3d2kVqv564MHD9K4cePo\n8ccfJyKioqIiCggI4HVdtWoVbdy4kfbv30+Ojo6UkpLSf5hILBZTUlISBQUFkYWFBX8ELDdmu3fv\nJgsLC2pvb+fLPP/88/T555/Txo0badWqVZSamkpVVVUmdRuSl5dH8fHx5OLiQi+//DIlJCSYyKxd\nu5bWrl1rtnxaWhpdv37dKI3rX39mzJhBp0+fJiKi+++/nywtLc0eb71z506ys7Mjd3d38vLyoqtX\nrxJR3/G03BG38+bNo9WrV5OXlxdFRUWRnZ0dvf/++1RdXU1yuZyCg4Opt7eX5s2bR5mZmaTRaMjC\nwoJ6e3spPj6exGIx5eXlkVAopDfffJMsLS3J2dmZJBIJAeCPxl23bh0FBQWRRCKhCRMmUE5ODgEg\nJycneuONNyg8PJycnZ3J39+f3nrrLX6uERGNHDmSLC0tydLSkkaOHElCoZA8PDyIiOiVV16h+fPn\n07Jly8jGxobmzJljZINp06ZRTEwMPfvsszR69GgqLS0lor7xd3FxISsrK7px4wbpdDoKCQkxP7j/\nP5GRkRQUFETnzp0jIqJdu3bxx4GbY9u2baRSqcjZ2ZnKysros88+I1dXVxO5n376iR544AHKzc2l\n++67j6qrqyk4OJheeuklam5uJn9/f3rggQf4I4UbGxspMDCQYmNjad++fSb1vfTSSxQVFUVTp06l\nhx56iA4fPsznGT6boqKiaM2aNbRq1Sr68MMPydbWlv7xj39QeHg49fT00IEDB2j+/Pl82aKiIlKr\n1fTCCy+YzO933nmH1qxZw/eFqO/Y5S+//JKv79KlSzRp0iRavHgxeXl50cqVK+mdd96hoKAgvp6s\nrCwqLy+na9euUWZmplm7Dh8+nJKSkig4OJhSU1NpxowZFBwcbCI3bdo0ys/PJyKi0NBQuu++++jt\nt98mjUZDUVFR9Omnnw56zPHvflgYADQ1NfFhLoC+KMtXrlzhr+vr6/nDaWpqauDo6Ije3l4j7/yq\nqiojT2mtVovi4mIAQG1tLTo6OvhDmYA+T9fGxkajtOrqapNXlYuLi3Ht2jWjNL1ej8LCQvj5+aGm\npgbV1dVoaWkBAFRUVPCvKNbX1/OvknJ1abVaNDQ0oLu7m68H6AsOWlpaCr1ej4KCAkilUgB9XsRX\nr16Fo6Mj6uvrUVpait7eXtTV1Zl8i+xvt46ODlRXV0MmkwHoC8tTX1/P61pfX4/u7m4olUq0trby\n9jLkxo0baGhoQFVVFbRaLf/KMTdm7e3t0Gq1Rq9rVldXw9PTE42NjXy9Wq3WpG5DOjs7UVdXh7a2\nNjQ0NPB2MaS+vn7A8uba4PrXn6tXr/KexpWVleju7jaaBxytra3o7OyEVquFQCDgPaIbGxv5/cWK\nigoolUo0NTVBIBCgq6sLjY2N0Gq1aGtr40O2VFZWoqGhAU1NTbyeFRUVuHHjBj8X2tra0NPTA4FA\nwMtwUQwaGhrQ0tKCGzdu4Nq1a/z84HRpamriyzc2NhrZ4/r16+jp6eHl9Xo9mpqaAPTdG/X19RAI\nBOjo6EBDQ4ORDWpra9HY2Ijq6mqUlJTwNmhqauL7yVFQUDDg+AB9925vby8/Jq2traiqqhpQvqWl\nhe/XjRs30NzcbKIf0Dd3rl27xv+r1WpRVVWF2tpa6PV6VFVVoa6ujm9Xp9OhqqoKN27c4Odzfz2b\nmppQU1ODjo4Ofgz797OwsBCNjY3o6emBhYUF2tvbUV9fz+e3t7ejsrKSL9fb24vq6mrU19ebhFdp\naGiAVqtFR0cHKioqAIB/rly5cgVEhJ6eHpSVlcHOzo63DXd/cnBjJBQKUVJSMuA4SCQS1NTUoLu7\nGyKRiG/TkPLyct5mBQUFcHNzg5+fH//cbG5uNls/BzvmmMFgMBhDDltcGAwGgzHk/CF+FgsJCTHy\nDBcKhZg1axZ/beidnJCQAHd3d9jb22PixIm8TEpKipGXqpWVFR98LSkpCXV1dfzPQ0CfV3J8fDws\nLS35tOHDh5v45EyZMsXkq7tYLMaMGTPg7+8POzs7JCUl8eWys7P5aASRkZFGZ01PnToVVlZWiIiI\nQG9vL18P0BdROi4uDmKxGPfeey8qKipQV1eHgIAA5OTkQCQSQaPRoKurC3Z2doiJiYGdnZ2RXv3t\n5unpiREjRvAvVcjlcqM+RkVFQSaTwc3NDRqNho9sbIiHhwfi4uIQGhqKvLw83pObGzMvLy8olUqj\nfg4fPhy+vr5wc3NDd3c3urq6TDx++6NUKjF8+HAUFBQgOjqa/xnHEI1GM2B5zraGcP3rz5gxY3jv\n9fT0dJSWlpqV8/f3R1BQEBwcHCCVSnmPfc5DGgAyMzPh6emJ+Ph4ODg44MKFCwgLC+PHWaVSQSAQ\nIDMzE5cuXUJtbS16e3shEAgwevRo7N27Fy4uLnByckJQUBC8vb1hb2/P/yQSHx8PAIiIiIBarcal\nS5eQnZ2N3t5e/Pzzz4iJiUF0dDQKCgpQXV0NZ2dnqNVqI3uMHDkSvb290Ov1iI6ORklJCe+tHxcX\nh8rKSiiVShw+fBixsbFGNkhMTISTkxOSkpLg6OjIuxWEhIQgPj4ezc3N/M+z995774DjAwBpaWlo\naWnhIyX4+flhxIgRA8oHBQUhKioKtbW1sLW1RVBQEIYPH24i5+bmhlGjRkGpVGL06NGwsrJCZmYm\n4uPjIZFIMHLkSCQkJPA/UUulUmRlZcHS0hLe3t4m9cXHx6OmpgYBAQFwdnaGh4cHn2d4j82cORNq\ntRp6vR52dnYIDQ2FRqPBrFmzIBQK4enpiczMTL6sXC5Heno6YmJiTNqMiIiAXq+Hu7s7srKyAADJ\nyckICAjg63NwcMCECRPg5eWFsrIyhIWFwdLS0iga9p133gkbGxsIhULceeedZu06YsQI6HQ6tLW1\n8ZErzEXmGDt2LB8FYPbs2QgJCYG/vz/i4+NhYWGB4OBgs/Vz3LaH/lDBPPQZDAbjz81v6qHPYDAY\nDEZ/2OLCYDAYjCGHLS4MBoPBGHJ+1w19IoJWq4VOpzO7odrd3Q0igkQi4UNZ63Q6sweYERF0Oh1E\nIhF6enoglUr5jUa9Xs/7YXAbz1qtFiKRCAKBAHq9HkQEkUgEIkJXVxfEYjG0Wi3fjlgsRm9vL0Qi\nEYRCIXQ6HSwsLKDX63Hjxg2+PS6d8/3gNhE5fwCdTgeJRMLLDYShToYY6m3Yb05XsVjMlxUIBHx5\nQ/totVpotVpYWFgYhQ3X6XTQ6/V8H/vbltN3IN0MZTm7AoBIJOLHQCKR8L4S/UOWG9LT08PXz9mZ\na5MrLxQKodVqIRaLTfK4urlrzhY6nY4fL66P/W3a395CoRA3btzg5wBnB66v3NhzbXHziLOVXq9H\nT08PZDIZLCws0NnZCZlMxs9/CwsL3jeBiCAWi9HR0QGRSASJRML3USgU8nUbjqGFhQU/dtzcJCJ0\nd3dDIBBAIpFAIpGgp6cHRARLS0vo9Xqj+SuRSPgx4+zB1cP9LRKJ+PY5e3D19LcZEcHCwsLIpv3n\n0WBjz9nVcI71v2e7u7uNZLj6OTtyc50rw/1NREb5nH+StbW1yRzofx9zGM7H/n5eXBtcu5wPFWcT\nc5jTk5s7XH+5OUxE6O3tNXouAuDHWyqV8sfTG376Pzt1Oh06Ozt5GxqOOTe+hnPd0N+Lm5uDMqB7\n5W8MADp06BCpVCqSyWRmZeRyOTk7O9Pdd9/Np2VkZNCBAwdMZFtbW8nGxoa6urpIIBDQpUuX+LxV\nq1bRPffcQxqNhk8LCAigwsJCIurzxJ4wYQIREZ0/f54EAgGNHTuWxGIxOTo6klgsph9++IFsbGxI\npVLRvHnzKDExkVauXElz5swhmUxGX3/9NdXW1pKTkxMREc2ePZuGDRvGt2dhYUELFy4kpVJJlZWV\n5ObmNqh9fvjhB7MetpGRkbzXLFGfV75EIiGRSEQCgYB0Oh1NmzaNFixYQDNnzuTlent7ycLCgoqL\ni8nHx4dEIhElJSUZ1f3EE0/wnreGVFdXk4uLC3998OBBSk9PN6v3xYsXKTQ0lObPn0/Dhg2jpKQk\n2rFjB40ZM4b8/f2JiCgnJ8coAoM5BAIBbdmyheRyORERHThwgDIyMoiIyN7enmQyGT311FPk5ORE\nn3zyCd/XgIAAPkICEZG7uztZW1uTTCajzs5Omjt3LgmFQtqwYQMvo1AozHroExGlpKTQ3r17ycLC\ngjZs2EBCoZCWL19OqamppFKpSCgU8tEJ1Go1DR8+nD799FOaMWMG3XvvvTR69Ghyd3cnoVBIMTEx\n9N577xEAevDBByknJ4esrKwoJiaGpFIpicVikkgkNHnyZBIIBCQWi2nkyJEEgO6//34aNWoUEfV5\nmNvZ2ZFQKKTw8HC6fPkyBQcHk7OzM40bN44cHR1JpVIRABIIBCSRSGju3LkkkUhIIBDQxo0bKTk5\nmYiI3n33XQJAer2eiIi+++478vHxoaeffpocHR1JKBTSvHnzSKlUUkhICF26dIleeeUVsre3p8LC\nQhIIBCY2Cw8PJxsbG2pubjZKb29vJysrq0HHnRtfGxsbWrRokVG6t7c3lZWVERHR6tWrydramh59\n9FE+//Tp0xQdHU1vv/02LVy4kIiIEhMTKTc3l9fr3LlztHLlSvrb3/5GRH335e7duwkAdXV1megy\nd+5csrOzM0k3vAfGjh1LCoWCRCIRBQYG0tNPP00jRoygH3/8kYiIJkyYQNu3byeJRDJgnzUaDZ05\nc4aIiOLi4ujEiRP0yCOP0LBhw+j1118nDw8PiouLo61bt1J2djZJJBI+agmHRCIhZ2dnIup7vnp4\neNDDDz/MR5PIzs6m7777jpdftmwZAaCYmBhaunQpEfVFBZg8eTKJxWJKTU01sm1oaCg/5+Pi4vh2\nBoL9LMZgMBiMIYctLgwGg8EYctjiwmAwGIwhR7TM8CD7/yHLly/HSy+9BIlEAjc3N0yaNMlEpry8\nHCEhIZgyZQrvDSqTyRAREQF7e3sjWYFAAFtbWyQmJuKXX37B3XffzXsoW1hYwMPDA1FRUYiMjATQ\nd755bGwsLC0t+fPHQ0NDIRAIcP78eUyfPh2WlpZIS0uDSqXChAkT0N7ejrFjxyI+Ph6enp5ISUmB\nu7s7bty4genTp8PR0RFyuRzx8fHQarXw9PREamoqAMDa2hoJCQlQKBQYNWoU5HI54uLiBrSPSCSC\nq6srwsPDjdItLS0RFRVldL67ra0tHBwcMHHiRGRmZkImkyEwMBBqtRrDhg3j5WxsbJCcnAxbW1tY\nWlpi4sSJRjpIJBK4uroiJSXF6Kx3gUDA92sw3ThZR0dHJCQk8F73nPd6YGAgRowYAa1Wi8DAQCQn\nJw/Y/9LSUkyePBn+/v5ISEiAUCiEUqlEeHg4ZDIZUlNTkZSUBHt7e4wZMwaenp4YNmwY2tvbkZyc\nzOsmlUqRmJiI7OxsJCYm8pudM2fOhFKpBNAXzSEhIcHsCwYymYyPjHDHHXegra0NkyZNgo+PDyIi\nIuDk5ITJkydDJBKht7cXsbGxSEhIgKenJ9RqNXx8fKBUKqHX6zF16lSkpKTg7NmzeOSRR+Du7g4b\nGxtkZ2fDysoK0dHRCAsLw7hx41BaWoqQkBBMnjwZRITp06cjKioKYWFhEAgEkMlksLa2xvTp0xEf\nHw9HR0eEhoYiIyMDrq6uCAsLQ0VFBVQqFRISEjBz5kx0dHTA29sb99xzD/z9/aFWq/mXCSZOnGj0\nAkh6ejoUCgXCw8MxduxYuLi4YPz48XxkCEtLS2RnZ8PR0dFkHC0tLaHRaJCammqygW1nZ2fkUW6O\nmpoaeHl5YfLkyQgKCuLTraysEBsby78Y0dzcjDvvvJOf40KhEM7OzoiNjYWPjw/8/f15XTido6Oj\nIZfL4efnB19fX1hbWyMpKQl5eXl4+OGHTV4UEgqFcHV15b3mOQzvAZFIhICAACQmJiIuLg5ZWVkI\nDg6GRqOBXC7nz7338fExG2GAm2fR0dGwtraGTCZDVFQUHB0d+fvR2toaycnJSEpKgqenJ4RCIaZO\nnQp3d3e+juLiYmRmZiIzM5N/hiUlJSEsLAweHh6QSqWIiIiAg4MD34f8/HzMmjULqamp8PHxgUQi\ngbu7O6RSKaZNm4aIiAjeDjY2NkhNTYVEIsG4ceOQmJiI5cuXY6AlhHnoMxgMBuNXwTz0GQwGg/E/\nhS0uDAaDwRhy2OLCYDAYjCHnd93Qnz9/Ptra2vgw3oa0t7fj6tWrZkNB9/T04MqVK0abzmVlZbz3\nMUdDQwPq6+v5kyyJCIWFhUbldDodTp48ia6uLlhaWqKkpAROTk5G7Z09exYuLi64ePEiHBwczHqm\nG1JfX4/c3Fw0NjaioaEBjo6OEAqFOHr0KLRaLb+h1tXVheLiYjg5OaGurg7Nzc3o6upCbm4uHyb/\ndmlubkZVVRXfBtB3At6+ffvg7u5u5FVbUFAAkUiE0tJS3ia//PILrK2tB/Sez8vLQ0dHh5GNGhoa\nUF5ezp+U2Nrayo9pbW0tfxIgV6agoACFhYUoKiqChYUF5HI5KisrsXXrVtjZ2aGwsBAKhYIfizNn\nzqC+vh41NTWwtbVFYWEhRCIRamtrYW9vj+LiYn6D17Btc1y4cIEfwwMHDqCnpwdnzpyBp6cnLCws\n0NLSguvXr/P2a2trw7Vr16BQKLB7927k5eVBr9ejvr4erq6ufL2HDh1CRUUFFAoFpFIpLly4gLy8\nPJSXl/MnP4rFYv4ESQA4deoUcnNz0dLSgvLycsjlcjQ0NODEiRPo7OyEvb09rly5gtOnT+P8+fPo\n7u5Gc3MzOjs70dXVhY6ODmi1Wpw6dQoNDQ0QiUQ4dOgQPD09cenSJSiVStTX1yMvLw/t7e2orq7G\noUOHsGPHDgQFBaGhoQH5+fmoqKiAk5MTioqK0NbWhrq6Ov7U0l27dkGn0xltHAMwspNOp8OFCxeM\n7DEYOp0O+/btg7OzM7RaLcrLyyGTyVBWVsaH4wf6XurQarU4c+YMgD4P9JuNrzkuX76MsrIyPnR+\ncXExLl26BG9vb972R44cQVBQEIRCIa5cuYKioiLU1dXBzc1t0Lq5+y0/Px9SqdTkGAxzNDY28nNX\nq9Xi+PHj0Ov1Ri8pXb58mT/psf9REobPjcG4dOkS5HK52efV5cuXUVpaanScwK1QUFAAKysr/vkw\n2Ib+7+qhv3z5cnr++efN5h86dIjS0tLM5hUXF5Ofn59R2l133UX/+te/jNLef/99mjNnDo0ZM4b2\n7JDQL6gAACAASURBVNnDe48b0t7eTlKplFJSUujnn3+mqKgok/YsLS2po6ODnJ2dqaam5qZ927Bh\nAzk5OZFSqSQnJyeqra0lIiI3Nzd6+OGHeblz587xnuqrV6+mRYsW0dq1a8na2vqmbQzEl19+SZMn\nTzZKKy0tJalUSseOHTNKj42NpS+//JICAgL4tLCwMDp//vyA9QMwinRARLRp0yYaP348paWl0euv\nv05Llizh89566y2aOXOmkV3T09PJxsaGANAjjzxCRH1nuQOgadOmUVBQkNFYJCUl0ciRI8nKyor+\n/e9/U2BgIH344Yc0e/ZsIiIaPXo07d27l9544w1avHjxoPZxcXHhz5Z3cHCg++67j6ysrKikpISI\niHbs2EETJ07k5b///nvKysoiIiIrKysSi8Xk6elpMo9sbW3J29ubfvjhB76Pjo6O5OzsTMnJyZSZ\nmcnncajVarKzs6PIyEjy8vKib775ht544w2Sy+Ukl8vpypUrFBgYSABIJpNRRkYGTZ48me699156\n4YUXaNmyZbRt2zby8vIijUZD//znP0ksFtPZs2f5qBfr168nBwcHUqvVpNFoyMrKigDQkiVLaOHC\nheTg4EDW1tZ04sQJCgwMpAkTJtA999xDzz77LE2ZMoWEQqHZe2LXrl2Uk5NDRP+JjnGrtLW1kUgk\nou3bt9Phw4cpNTWV8vLyKD4+3khu8uTJtHnzZrKxsaG5c+fSa6+9Rk8//fQtt8MxdepUUqvV/PX9\n99/PR5zYtWsXZWVlkUAgoLq6OiLq8+oPCQm5aRQJov/cb0KhkPdyvxlbtmz5/9g777Coru7ff6cP\nDEPvbSgiiBSxIWJL7AYLwWjUaKIm6s8kmmI0JmqwpJhiYklMYjQaCxpFY9TYNRYQaQoKIqIgHenM\nwNDX/YM7+zfHGdS8r2/JvefzPD6Pe5/d9zr7DHvvtRbNmDGDiDqsLZiamtILL7zASdOtWzeKioqi\nLVu2GOS/ceMGde/e/bH1qFQqys3NNfps9OjRHAsiT0pISAilpKSw8KM+Ify2GA8PDw/PU4f/uPDw\n8PDwPHX4jwsPDw8Pz1PnP2pyf+rUqRxT1foEBgZi7dq1Rp85Ojpi27ZtnLilS5cyjWsdI0aMQO/e\nvdHU1AQPDw+YmJjg+++/56SRyWTYtWsXXF1d4e3tjY0bNxrUd+jQIchkMsTExMDCwuKx/RozZgyk\nUilsbW1hamrK8qxbt46jMe/h4YHvvvsOADBhwgRmil3/0Pev0r9/f3h4eHDi7O3t8dVXX6Fbt26c\n+PXr10OlUmHr1q0sbvPmzVCpVJ2Wf+DAAYOD21GjRsHPz4/1WedeQNev8PBwZo4eAD7++GMUFxdD\no9EwCwFRUVGoqKjApEmTUFpaypmLFStWMLPyHh4e+Omnn9ClSxcEBwcDANasWQMPDw/4+Pigubn5\nkeOzZ88ednD65ZdfwtfXF/3792d96tevH1xdXVn6kJAQfPzxxwCATz/9FGVlZQgPDze48LBp0yZI\npVLWphUrVuDGjRswMTFBYGAghEIhvLy8OHnWrFmDzMxM+Pj4oKWlBX369EGXLl1gbW0NDw8PODs7\n46effkJmZiY0Gg2CgoKgUCiYtjnQYXXh888/h7m5Ofz9/fHll1/Cw8MDv/32GwDgueeeg4mJCVxd\nXUFESExMxM2bNzFz5kxotVqEhIRAJpPBx8cHP/30E8zMzNDS0gJra2toNBo2Pg8TGhrKDrtNTEwQ\nGxv7yHHXRy6XY/369QgPD4dUKsXatWvh6+uLr7/+mpNu2bJlsLGxwY8//oiAgACYmppyZOtJWbhw\nIaqqqlj4jTfewMiRI1k/Vq5ciREjRrDD+HXr1qGkpMTgIN0Yuvftueeew4ABA56oPUOHDkVISAiA\njvnbunWrgT/677//HjKZzOAiBQCoVCps3rz5sfVs374d9vb2Rp8tXboU1dXVT9RefTZu3PjEl414\nDX0eHh4enn8IXkOfh4eHh+ffCv9x4eHh4eF56vAfFx4eHh6ep85/VEP/lVdewdGjR5GTk2Nw2FxU\nVISkpCR4eXnh8OHDcHJyglwuBwCcOXMGcrn8L2nqlpSUICEhgXMYlZubiwMHDsDExARxcXFISEiA\ng4ODQbpdu3ahqKgI5ubmMDMzw6JFixASEoLMzEzU1dVxNP4LCwuRnJyM+vp6FBYWQi6XY9u2bRAK\nhexwLjY2FmKxGGlpafD09MShQ4fg6upq9CC/qqoKZ8+e5VwE0G//zZs3UVRUhDVr1uDBgwfo2bMn\n8vPzce3aNXh4eCApKQlHjx6Fh4cHGhsbsWbNGvTt2xdarRaffPIJsrKycPr0aSgUisdqI8fExMDP\nzw+ZmZkoLi7GrVu3IJFI2EFobW0tTp48CT8/P6P5T5w4AXNzcygUCk58RUUF/vzzT9y+fRu2trao\nq6tDXFwcunTpwkmXkZGBgoICziFnXl4e0tPT2SWE1NRUVFZWsoPMU6dO4fvvv0d2djZzGXD06FG8\n+uqrmDlzJhITE6FWq5GWlmagYX3q1ClIpVL88ccfCAwMZPG3b9/GuXPnoNFoEBcXh507d8Lc3By/\n//47rKysUFBQgLKyMsTHxyMvLw8ymQwWFhbYvn07Ll68iOPHj+P+/ftISEjA9u3b0dzcjIyMDCQm\nJiIjIwPdu3fHjRs3sHv3bmzfvh0ODg5455134ObmhnPnzuHAgQPYuXMnioqKcPz4ccTExMDBwQGp\nqanYvHkzzp8/j5ycHPz444/48ssvERcXh8zMTNy8eRPr169HS0sLc0nQ0tKCX3/9FRqNBkuWLIFE\nIsGxY8cAAG5ubsjLy8PChQuRm5uLsLAwVFdX48yZMwYH0PokJCTgxIkTKCkpgUAgwB9//MEuOgAd\n/ud3797NzLkfO3YMNjY2nAP0a9euIS8vDykpKSguLubImY6qqiocOnQImZmZyM3Nha+vL3777Tfc\nuXMHd+7cQWFhIZYtW4YjR45gwoQJAIALFy4gJiYGWVlZuHjxIq5cuYKGhga4urpi//79CAgIABFh\n165drM11dXU4fvw4k2utVovPPvsMrq6uuHDhAlJTU9Ha2sosHty+fRtCoZBjXWTVqlVwcHBAWVkZ\nCgoKIBQKER8fj9zcXIO1bOPGjVCr1fDy8kJhYSH+/PNPZGVl4fr160hPT2duCPbu3YvAwED8+OOP\nSE1NxalTp9ClSxdcvHgRdXV1qKmpQUZGBoRCocFFpJiYGGzduhWjRo3ixK9ZswbW1taciwC6Nc3T\n0xMHDx6Em5sbLl68iDNnzuDo0aP/nRr6e/fupcDAQBo4cKDB8+PHj9PIkSOJiMjX15du3brFng0b\nNoxOnTr1l+oz5pN+z5495OvrS1999RWFhoYyDeuH04lEIho4cCD9+eefREQkFArp6tWrtGDBAvrm\nm284aXWayzpt4vT0dHJ0dKS3336bpXFxcaFt27YxDWcvLy/Kyckx2u7r169TUFCQ0Wd79uyhF198\nkd59912SyWRMa/zQoUM0fvx4IiJasGABubu709WrVyk1NZWkUinl5ORQRkYGyeVyEgqFBOCxmu1E\nRAqFgtRqNa1Zs4Y++OADGjNmDB09epQ91/ly74ywsDADKwFERFevXqU+ffpQjx49KDU1lS5evEgD\nBgwwSLd27Vp67733OHExMTE0efJkFn7//ffpk08+YeFp06aRubk5OTs7szidX3oiojfeeIM2bNjA\nrDjoM2TIEDp27JiBxYRNmzbRoEGDaN68eeTt7U1SqZQ++OAD8vDwoG3btjHteXd3dxoxYgQdPHiQ\njZ/O17pIJCIHBwcSiUTk4+NDwcHB5OTkRDKZjLRaLX300UdkbW1NAGjZsmUEgObOnUsBAQEkk8lI\nJBJRt27dyNHRkcRiMX3wwQc0YsQIEolEJJFISKVSkVwuJwAkk8nIzc2N/P39CQBZWlqyvui06999\n910Si8UUERFBVlZWTF5jY2MJAPPNnpaWxtF2N8acOXPI09OTIiIi6KeffjLQ4m5tbSWhUMjCvXr1\noqSkJE6apUuX0ttvv00+Pj4UERFBv//+u0E9165dIx8fH442vbe3Nz3zzDMUERFBr776KgkEAk5d\nUVFR5ODgQCEhIWRjY0POzs708ssvU21tLSmVSiIiam9v57T59u3b5OPjw8KlpaUkl8tpx44dNHLk\nSAoNDaUlS5bQp59+SuHh4TR69Gjatm0bp62mpqa0detW+uKLL+jdd9+lc+fO0ZAhQ4yuZXK5nMaO\nHUtEREePHqVBgwaRr68vmZubk7W1NZWXl1N9fT2ZmJgQEVHXrl0pJCSEZDIZnTt3jnr16kVvv/02\nffXVVzR+/Hg6dOiQwdg988wzzIqDPiYmJrR+/XpOnL41Bnd3d8rLy6MZM2ZQ165deQ19Hh4eHp5/\nL/zHhYeHh4fnqcN/XHh4eHh4njr/USXK+vp6lJeXMx/3+jQ2NkKtVsPOzg6lpaWwsbFhWtHl5eVQ\nKpXsgP9J0C9PR0NDA0pLS2FnZwe1Wo3m5mY4OjoapCssLIREIoGlpSVkMhmuXbsGf39/aLVaiEQi\nzmGczhS6VCoFEcHU1BT379+Hra0t0wwvKSmBmZkZmpqaYGtri5KSEtjZ2Rn4Gwc6zOVXV1cbNWeu\nM70OdJjKd3Z2hqenJ2uDra0tampqUFlZCTc3N5bO398fRISsrCyYmpqiqakJLi4uj7U+UFRUBCcn\nJ2g0GhARWlpaoFAomLZ4S0sLKisrDSwl6Hjw4AHzKW6sjwBgZWUFIkJtba2BdrFarUZbWxvHNLlu\nDHSm2mtrayEQCNjhb2lpKbuMoTsI1V3uiIyMZKbwtVqtgUyVl5dDoVCgurqaI58ajQbV1dUwMzNj\nMqxSqVBVVQUnJye0trYy+RYIBLCwsICJiQnu37+P5uZmNDc3Q6lUorm5GZWVlVCpVGhvb0dzczN7\nF9RqNYqLi1FTUwNfX19cv34dPXr0QF1dHWpra1FbWwsHBwdotVo0NDTA19cXTU1NKCoqglgshpmZ\nGUpKSlBWVgZHR0dYWlpCLpejuLgY3t7erD/t7e0oKSmBXC5Heno6fH19odFoYGNjAxsbGzQ0NCAl\nJQX29vbw9fV9pDzqqK6uRk1NDTuorqmp4Vg9ICIUFRWxuLKyMlhZWXHcQdTW1qK1tRUtLS0Qi8Uc\nOdOXm7KyMggEAojFYjg6OrJLBEQEoVCIzMxMiMViDBw4EECHe4ji4mKYmpqira0NRARra2vY2Nig\npKQELi4uBu17WK7b2tqQlZUFDw8P1NTUoK2tDRYWFhAIBGhsbERbW5vBxZWMjAy4u7uz/HK5HGq1\nGgAM5C4nJwfm5uawt7eHVqtFTU0NBAIBa6+TkxMEAgFr771799De3o6WlhZ4enqitrYWMpkMIpEI\nTU1NRscuPz8fZWVlzEKGfjvd3Nw4lyf01xPdWlVZWYn6+np4e3t3qkT5lz8uEydORGVlJc6fP8+J\nLywsxNatWxETE4O2tjaMGDECX3zxRacmFHgNfR4eHp6/N09NQ//rr7/GwYMHIRAIOPHt7e0YP348\n1qxZgyFDhmDy5MnYsWMHnnvuuX/IFhAPDw8Pz9+bJzJc2dDQgPfee69TY2nfffcdrl27hoSEBKZL\nEBoaivHjx+Pw4cOIiop6ei3m4eHh4fmv57HbYo2NjQgODkZOTg7mz5/PXKSeO3eOpQkICIBCocDV\nq1c5eV1cXBAcHIw//vjDsGJ+W4yHh4fnb80/tS3W2NgIoVCIgwcPYuPGjUb9Mefn52PQoEEG8eHh\n4UhPT++07GnTpuH69esYOXIkysvLOc9+/vlnvPvuu9iyZQvmzZvHeXblyhUcOnQIQMeB7bp16wAA\nf/75Jw4cOIA1a9Y8sk/Nzc2YOXMmYmNjcf78eRw/fhwff/wx3n77bRw+fBg9evTAu+++y9wBNDQ0\nMC3U5cuXo6mpCUCHFnFMTAyADu3zX375BVu2bHlk3QCQlpaG3bt3G8QnJyfj119/fWz+b775BsXF\nxSxMRFiyZAkAYP/+/UhKSgLQcYD+5ZdfsnTHjx83OCtbsmQJRzjq6uqwfPlyrF692mjdq1atgkaj\nAQDExcVh8uTJ2LJlC+7cucNJ9+233+L+/fssHBcXh/fffx8JCQm4evUqoqKiUFxcjG+++YaT78aN\nG9i5c+cj4y5duoRJkyZ1MjodrgSWLFmC2tpapKSkYN++fZ2mBYD333+f/VU+a9YsHD58GABQUFCA\n6Oho5hbhwoULOHbsGJqbm9G3b1/MmzcPv/32Gz7//HMsX74c0dHRmDhxIqKjo/HFF18gKCgIEyZM\ngFqtRlFREdavX4/XX38ds2fPRnx8PKt/8uTJOHXqFKqrq/Hpp58CALZt24YffvgBixcvxuDBg7Fi\nxQpUVlbi4MGD6NmzJ/z9/dG3b1+88847ADq2rEtKSrBkyRJER0cjPj4eS5YswcKFC7Fw4UJ4enpy\n3E2sXbsWL774IiZNmoT29nZ89tln+Omnn7BhwwYMGTIE77//Pt58803k5+dj/Pjx2Lp1K5KTk1n+\nu3fv4ocffjA6ngMGDMCDBw8QHR2NqqoqfPbZZwA6/M0HBQVhxowZrJ/6bNiwAYWFhY+cK30SEhJw\n8OBBAB2WGaZNm4aKigpkZmZi4cKFuHz5MlavXo3NmzcbrCE6YmJicO3aNXz88ceora1l8aNGjUJO\nTg4Lr1+/HseOHcP+/fuNvkc6li5diuXLlyMvL4+tSzrGjRvHLC+kpaXh1KlTOHPmDIAO8/iZmZlY\ntmwZZ/3av38/evbsCa1Wi5s3b+KXX37hlPnGG28gMjKShR/uR2eo1WqDd9zX1xdXrlxhYf32AR2W\nUU6dOgWgY6197I5Up+qV/5f29nZqa2tjYZVKRc888wwLV1ZWkkAg4GhF65gzZw5JJBKj5QIgCwsL\n2r9/PwmFQrp9+zbn+fTp08nHx4dGjRpFUqmU8+zbb79lvtdv3rxJ/v7+RET02Wef0fz588nJyemR\nfaqvryeJREKvvvoq8/nu7OxMAoGAFi9eTABIIBCwfldWVpKVlRUR/a+WOhHRrl27aOrUqURE9MEH\nH9Arr7xCQ4cOfWTdRET79u0z8JlNRPTzzz/Tyy+//Nj8wcHBdO3aNRbW1yieOXMmbd26lYiIMjMz\nyc/Pj6XTaRHrA4Da29tZuLi4mOzs7JiP8Yexs7OjsrIyIiL64YcfyMzMzKiWcb9+/Sg+Pp6FN2zY\nQN27d6fNmzfTtm3bSC6XG7U+cODAAXr++ec5cfv376eoqCgW3rhxo1HtYh09evQgOzs7KiwspB07\ndtD06dM7TUvU4a98woQJRERkaWnJrBVcvXqV/Pz8KCwsjIiIPv/8c1q0aBHV19cTAHJxcaF33nmH\nunTpQkFBQdSvXz+ysLCgXr16Uc+ePQkASaVSKi0tpZSUFAoJCSGhUEi2tra0adMmVj8AWrFiBd2/\nf5/c3NyIqMPHeVRUFIWEhJBEIiFXV1e6e/cuLViwgAQCAecfEVFAQAClp6eTUqkkZ2dn2rhxI/n7\n+5OzszPTzH/uuedYnZ6enmRhYUECgYBaW1tJpVJRZGQkRUREkEAgYBYDrly5QjKZjKKiojha5+fP\nn6fBgwcbHU8AlJ2dTZaWlpSbm0sqlYqIiPLz80kgEJClpaVRLX9jmvqPYvPmzTR37lwiItq5cyeZ\nmZnRnTt36PDhw+Tp6Ulff/01OTg40HPPPUempqZGy5gyZQrt3r2bnJ2dqbCwkMULhUI6f/48C/fo\n0YM++ugjmjlzptH3SIdYLCalUklXrlwx8HMvk8no0KFD9MILL9C+ffto+fLltHLlSiIiZoXA3d2d\nY+Vi3rx5BIBqamro4MGDTE51uLq6kpmZGQs/3I/OKC0tNXjHAdCWLVtYWL99REQrV66k5cuXE1HH\nWqtQKP45DX2BQAChsPNkul+n+nZ0dFhZWaG1tZXjqIeHh4eH5/99/mklyra2NgAwuEGmjzH9DaBj\ny+3XX38FERmc1/Dw8PDw/HeRl5eH6OhonDlz5rFeX//pj4tOsaimpsbgWXV1NSwsLAysmeqwsLDA\ntGnTIJFIEBYWxnmmc/drampqYEVXKpUypSChUMiUGGUymYFl284wNTWFiYkJZDIZ5HI5zM3NYW5u\nDplMBqFQyClDXylPX9FQIpEwPR65XA65XG7QVmPo53u4X0/iWlWpVBqcfenaZWJiwpTR9MdG18aH\nFRgfVpwUCARQKpWdjqG5uTn7ISGVSiGVSqFQKAx+QJiZmXHaKJVKIZfLIZVKIRaLIZVKDdoHGB+b\nh+MkEglH4e5hzMzMYGZmBoFA0OlY66ObO+B/ZQgARCIRFAoFzMzM2DNdOqFQyNLqlOBkMhkkEglM\nTEygUChY/QKBACKRiLVLJpNx2q8rV1/OFAoFK1OnFCkUCiGXyyESiViZuvRKpZKNp1KpZOOtk3GB\nQMBRpNNPA4C5TpbL5RCLxaxNIpGI9Um/zbo2GUMoFLJ3SP9dEggEEAgEkMlkRt+Th2XmceivAxKJ\nhL27YrGYjZ2uX53JgKmpKbO4rP8DWSKRcHZszMzMWH2PckVuYWEBCwsLo7ItFoshFotZnfrl6N4h\nfXkDOmRT1w5jsiyXyzkutx/uR2foy5o++mU93E+ZTAY/Pz9ER0fjueee63T+WR3/d6/tifHw8ICX\nlxe7LdbS0gK5XI733nuPHdzpeOGFF3Dnzh1cv37daOf+YtU8PDw8PP9F/EvdHEskEvj6+uLixYuc\neCJCXFwc87PBw8PDw/P/D0/FcOWcOXNw9epVzrXjI0eOoLS0FPPnz38aVfDw8PDw/I34p7fFgA4j\nc4GBgWhqasLChQvR0NCA9evXY+TIkThw4IDxivltMR4eHp6/NU91W8zYYZGFhQUSExMxePBgbNq0\nCSdOnEB0dDR++umnv95aHh4eHp6/P4/VtvkX8Y9W/ccff9CGDRuIiCg3N5cpU+qYNWsWFRcX09mz\nZ+mLL77otJzCwkIaNGgQ7d27l5KSkphy0J49e0ipVNLnn39Ohw8fps2bNxvNf+nSJfr444+JiGj7\n9u20d+9ezvPTp0/TV199xcKnTp0ia2tryszMpOzsbFqwYMFf77we27Zto6+//prjPvlRXLhwgWxt\nbenkyZMUGRlJs2bNeuJ6fv31V4qPjzfqwvjrr7+mkydP0oQJE2jRokWPLS8+Pp4GDBhAaWlpREQ0\nceJE0mg01NbWxpT8amtrafLkyTR//nyaM2eOQRlqtdpACXXTpk0cl8tLly6lSZMmsfDKlSvpypUr\nLNze3k5jxowhIqK8vDyaN28eERH5+PhQSkoKERFFRkaSVqul27dv08KFC4mow5Wzv78/zZgxg1av\nXk2zZ8+m06dPU3h4OIWFhdGePXsoICCAXnrpJSIi+uSTT+jixYtERPTSSy/R3r176cUXX6S+ffvS\n3Llz6d69e5SUlESzZ8+mFStWUJcuXSgiIoLeeust6tu3L0v/0UcfUbdu3UgqlVJgYCDNmTOHzpw5\nQ19++SXr0y+//EJ79uyhLl260Pjx42nmzJn0yiuv0KuvvkojRoygDz/8kIiIWlpayMvLi15++WWa\nPn06LViwgM3HypUryc7OjkpLS2nAgAEUExNDP//8M+3bt++xc0tEtGbNGtqzZw9zwatDfwx1JCYm\n0ssvv9ypQiJRh8LzuHHjyMXFhbRaLRF1uFpesmQJJ11zczONGzeOiIgWLVpEN2/eNCgrIiKCPv74\nY2ptbaWIiAiqr6+nqKgoio2NpS1bttDq1aspLi6OWltbydfXl7nk1slHYmIirVix4rFjcOzYMdq4\ncSMREcXFxdHq1auJqEMp8ejRozRnzhyaPn06rVy5kuzt7am1tZWIiJKTk2nZsmWUlZVFb731FhER\n7d69m3bu3ElEHWvI8uXLac6cOZ3OyY4dOygmJoaFja1NOmJiYpiC8MOsXr2aZs2aRVevXjV4tnDh\nQqb0/qh1/IkMV/43kZ+fj5s3bwLo8Kvx8EWC8+fPQ6vVoqioCGlpaZ2W09DQgBs3buDu3bswNzdn\nJlPu3r0LtVqNrKwsyGQyjgkIfUpLS5GamgoAyM7ONrgi+HD9hYWFqKqqQm1tLSQSCS5fvvzXO69H\nVlYWNBoNUlJSnih9SUkJKioqUFpaiosXLz7RdW0AuH37NvNjY2ws0tPTYW5ujuTkZNTX1z+2vLKy\nMmRlZaGyshJAh4kJneVsnQ26lpYWnD59GoGBgUatare2tjIzFDpu3rzJuTqamZmJ27dvs3BycjJ6\n9OjByaOrT1+O7t27x5R+T548iba2NtTW1iIuLg5Ax5X7nJwcNDc3o6WlBffu3UNhYSGSkpKY7547\nd+4wEznXrl2Dt7c3AODs2bMIDAxERkYGbt26hYaGBqjVapSXl+P69esoLi7GvXv3AABNTU3IzMzE\n/fv3cfr0abS1tSE3NxfNzc0oKChAc3MzwsPDOTKWnZ0NqVSKu3fvor6+Hm5ubmhtbUVbWxtKS0vZ\n9gURITc3F9bW1iguLoZKpcKECRMAdPjzKC8vh1arRXp6OnJyclBfX//E8pKamsr84+ijP4Y6ysvL\nkZaWZpBWn7a2Npw9exb19fXMHFNVVRUSEhI46drb23HixAkAHeahxo8fb1BWeno68wX0xx9/oK2t\nDSdPnkRYWBiKi4uRm5sLf39/AB1yX1paCuB/5WPs2LFsnXgU+muU/jqRlJQEV1dXXLhwAWq1GkSE\nBw8esHwVFRVITExEREQEMw+Uk5PD3oHCwkLcuHEDWVlZsLa2Njon2dnZHN8wxtYm/XZmZWUZfZaS\nkoKCggJO+3TExcVh2rRpjx0H3hMlDw8PD89Th/+48PDw8PA8df5222KOjo5sm8HU1BQhISGc5717\n94ZMJoOdnR26du3aaTlyuRxeXl5wdXWFlZUV+3PYxcUFcrkcKpUKTk5O7E/xh7GxsYGfnx8Aw3v6\n6gAAIABJREFUQKVSGWjs2tvbM7e6urBOQ1ssFhts0fxVPDw8UFtbi5aWlidKb2trC6VSCVtbW/To\n0cOoLThjqFQqKJVKWFlZGbiiBgAfHx/Y29vDz8/vkeOtw9raGiqVilkG6NevH9PKDg8PB9ChyRwa\nGgoHBwdmXkgfkUiEfv36ceK8vb057pU9PT05W2rdunUz6LOuPn05cnJyYtsNYWFhEAqFMDMzQ3Bw\nMIAOzXYXFxcEBQXB09MTQMfcduvWDUCHfLq6uiIgIABAh6VZW1tbAECfPn3g5OQELy8vtLW1oUeP\nHjA1NYWVlRV8fHzg4uKC9PR0uLu7w8vLCyUlJXByckJoaCg8PT3h5OSE/Px82Nvbo2fPngYy5u7u\nDolEAicnJ3Tr1o3Vq+tD9+7dAXRcynF0dISnpydcXFxga2vL5sPLy4tZqvD29oabmxu0Wu0TWZ4A\nAD8/Pzg4OHA0vQFwxlCHlZUVunTpAl9f307LE4lE6NOnD9LT09m2p4WFBQIDAznpBAIB+vfvDwAI\nDAw0umXk7e0NDw8PAB1zr5MjZ2dnZm1B5y7bzc2N/V8nH/rrxKPQX6P01wl/f3/Y2dmhZ8+eaGho\ngLu7O8dChqWlJbp3784ZKzc3N/YO2Nvbo0uXLjA1NYVKpTI6J+7u7py1yNjapN9Onevlh+nWrRvk\ncjmsrKwMngUHBz9WOx/4B64iPy34q8g8PDw8f2/+pRr6PDw8PDw8D8N/XHh4eHh4njr8x4WHh4eH\n56nDf1x4eHh4eJ46/xUfFy8vLygUCrz00kss7vPPP8emTZtYOD4+Hi+++CKGDh0KNzc39O7dG/fu\n3cOCBQswb948fPLJJ52Wv2fPHrz//vvYsWMHnJ2dUVZWBn9/fyxfvhxAhw/1PXv24NKlSxzloBEj\nRsDX1xfjxo3r1EaaMaKiojB69GicOXMGs2bNMppm/fr1+Oqrr+Dv7w+NRoP8/HyYm5sjPz8fa9eu\nxbfffsvG5rXXXsOJEyegVCo5fsx1FBUVQSaTYfXq1QgLC0NRUREA4MMPP2S3iYKDg1FdXQ2gw3+2\nSqXCwIEDYWlpiYULFyI9PR329vYYNmwYq2PWrFno3bs3R9Fq9uzZ+OCDD7BkyRJ07doVvXv3ZsZJ\nExMTMWbMGAwYMMCgjRcuXEBYWBhMTU0RHR2N8PBwFBQUAACOHz8Od3d3jBs3DkCH8uJrr72GnJwc\nPPvss6yMPn36oKysDGVlZejTpw+n/D59+sDU1JS5d/D19YWjoyNaWlrg7e2NlJQUREZG4sUXX2QK\nag4ODvjwww8N2mphYcEULKurq+Hg4IAdO3aw59evX8e4ceNw7Ngx2NrawsvLC5988gm+++47dO3a\nFZaWloiJiWH+O+RyOdzd3WFtbQ13d3csWbIEvr6+zMfK5s2b4efnh/79+0MikSAmJgbz589H7969\nsXjxYnbDydbWFh999BHmzZsHgUAAPz8/ODs7o3///ti2bRuio6MxdOhQSCQSdOnSBUKhEEFBQbhz\n5w4AYOHChbC2tsbJkyeRnJyM559/HkCHUlxgYCDHXNOYMWOYImBtbS0cHR3h4+ODFStWYPv27YiN\njcXbb79tMBeffvop3nvvPUyePBlZWVkYMWIEkzndbTUA6Nu3L0pLSxEREcEM3r700ku4ePEiDh8+\njDfffBNnzpzB8OHDMX/+fAwYMABTpkzB66+/jp9//hl+fn7w8/PD4MGDYW1tDQ8PD1RUVODNN99E\nz549AQCvvPIKzp07h8zMTIwaNYrTJx0BAQGoq6tj4cmTJzM/8kOGDEFQUBB+/PFHbNiwARKJhPmt\nGjhwIEdRc/ny5Rx/OZ2RkJCA8ePHo1evXhg+fDhH0ff06dOYPXu20Xy6d0KfkJAQNocPM3XqVISF\nhWHixIkAgEGDBmHChAnIyclBeHg457blhx9+iB49esDOzg5dunQBAOzatQv29vaora1FQEAApkyZ\ngj///JPlGTRoUKe30HT8V1xFzs/PB9AhxDpqamo4V0mbmppQVlaGuro6aDQaCAQCtLa2orKyEu3t\n7UadlenQaDSoqqqCRqNBbW0t2traUFNTw4RK96yxsZGjkVpdXQ2NRoPq6uon0j7Xb3t9fT20Wi3K\ny8uNpqmtrUVraysKCgpARGhra4NWq0VraytqamrYFej8/HymMa3Vao16f2tra0NLSwvq6upQVFTE\nri7W1taycSksLGRl6jSDzc3N0dDQgMrKSjQ3N6O+vh4VFRVoamoC0KFBXVFRwbnuXF5eDhMTEzQ1\nNaGgoAAuLi5s3pqamlieh2lsbERNTQ0aGxtRXV3NaWdDQwMbZwBs3FpbW1FcXMzK0M+j+4DqP2ts\nbGRtraqqYprf+fn5TH5kMhnrX1VVFatTH41Gw/K2t7ejtraWadwDQHNzM0pLS9HY2AiNRoOamhrU\n1NRAKBRCrVajsbER9fX1rK06+dS1Ta1WM9lrbW1l4y4SiVi4qqoKhYWFqKmpYRYDqqqqOHKrVqtZ\nXrVajerqahQXF6O1tRV1dXUgIlRVVbF6a2pqmBzpxkM3bzU1NVCr1ayPpaWlTNaIiMlkdXU11Go1\nhEIhKisr0dbWxpkLXfvKysrQ0tKCkpISVobux4T+XOrX8+DBAzQ2NqKhoQEVFRXQarWoqqpCRUUF\nqquroVQq0d7ezvqsuz5cV1eHlpYWNlc6mdeVp2uHSCQyeH9075+OsrIyJh+6vqrVajQ1NaG1tZW9\nQ5WVlZx8arX6idQCmpqa8ODBAxQWFqKpqYmT51HrhbFnlZWVBg7JdDx48ABqtZq9mzqLGK2trZwx\nBzrkSrcG6tCtle3t7SgoKICjoyMaGxvZ85qamn+9J0oeHh4eHp6H4T8uPDw8PDxPnf+KbbG5c+ci\nLi6Os1fft29fjgE2Z2dnjBs3DoWFhXBwcECXLl1gYWGBoUOHor6+3qj2uI5u3bpBoVDAxcUFw4YN\ng6mpKYYOHYrevXsDAAYPHgx3d3fY2toiIiKC5XvmmWdw7949+Pv7P5H2uY7BgwdDq9VCpVJh9OjR\nRtP06tUL7e3tmD17NiQSCZRKJfr16welUonQ0FDW97lz56J79+7w9PREaGgo7O3tDcoyMzODr68v\nevfuDYlEwrRnQ0ND2ZbKzJkz2R6pRCJBVFQUM343dOhQ2NnZYcCAAejVqxfTdB89ejQ7K9AxevRo\nmJiYQCwWw8TEBFqtllkbcHJyQkREhNHtATc3NwwdOhSmpqYIDw+HmZkZ+5Pey8sLoaGhbO/ew8MD\no0aNgqWlJV588UVWxowZM5gRvhkzZnDKnzFjBs6ePcu00keOHIkHDx5AKBRizpw5cHBwQGRkJMRi\nMZydnQEAY8eOZVr6+gwcOJBp38tkMgwbNoxzXmBvb4/nn38eKpUKAwYMgK+vL0JDQ2FmZobw8HDk\n5eXB19cXKpUKRASFQgFfX188ePAAlpaW6NOnDyoqKnDs2DE4OzsjICAAY8eOZduNvr6+aG1thUql\ngr+/P9sGi4iIQP/+/VFaWoqjR4+if//+qKysRFBQEAIDA+Hk5ARra2vs2bMH3bt3x6VLlzB69Gim\nZR0eHo47d+7Aw8MDSqWSGat0cXHBs88+i6CgINbHiRMnsrGUSqUYPnw4TE1NMWDAANjb28PExATt\n7e0wNTXlzEW/fv1QVVUFX19fWFtbY9KkSUzm9M8Tpk+fDoVCgaioKNjZ2bH+6SxmDBs2DCqVCsOH\nD4e3tzecnZ3h6OgIW1tbeHh4YOzYsdBoNHB1dYWDgwOsra1hYmKCsLAw9u6MGTMG7u7usLS0xAsv\nvAChUMj6pGPWrFmQSqUsPG7cOCYfQ4cORVlZGYKDg9HY2Ahvb2/2DunkU0dISMgTrRFOTk4YO3Ys\nampqYGZmxnm3HrVe6N4JfcaOHcva+jBjx45FZmYmWxdHjRoFCwsLWFpaYuLEicwqBtAh721tbcjJ\nyWFz4e/vj2HDhkEqlWLWrFlwc3ODm5sbyzNkyBA0NTUhOzu7077yGvo8PDw8PP8QvIY+Dw8PD8+/\nFf7jwsPDw8Pz1OE/Ljw8PDw8T53/6IF+U1MTOyBrbW1FU1MT2tvb0drayg4h8/PzYWFhwTFNDQB1\ndXVQKpUQCARQq9VQKBRobm5GXV0drK2tUVVVBWtra3bn39hBONDh9bClpQUmJiYoKSmBqakpzM3N\nOV4NH0VDQwMEAgHa29s5JrDVajXrR2NjIwQCwSOVjnT9aWhogEwmg1j8v1Oj0WhgYmKCtrY2tLW1\nQaPRMN0Ya2trCAQCNDY2QiwWc7zOERHUarVR8+OVlZWQy+VQKBTQarUoLCyEo6Ojwb35pqYmEBGq\nq6tha2trYEpdx8N91M3n40y1a7VaiEQiEBEKCwvh6elpdOx1+g26Q2+FQsF0j0QiEefyh75sNDQ0\noL6+HjKZzGAcdPFisZiTR3/cm5ubjbonaG5uNhjzW7duwd7eHs3NzWhra4OdnR3Tw2hqaoJEIoFY\nLEZtbS2cnZ1RXl4OjUYDW1tbtLW1QSQSQSQSQSKRoLCwEAqFAmq1Gk5OTmhoaIBQKERjYyOTdXt7\ne6Yfo1PI1I1/QUEBRCIR7OzsjM5ZQ0MDcnNzmYl+gUDA+qqbS4FAAK1WC6lUyhQE9ccMANPv0R9b\nrVYLjUaDlpYW2Nvbs7S6cqVSKdRqNQQCAUxNTVFdXQ2FQgGhUAgi4szl46irq0NpaSnc3d05+Roa\nGiCRSCCRSFBXVwczMzNUVVVBoVCwvum/j7q2EREEAgFEIhFqampARLCzs0N9fT0aGxuZGX4duvdc\nJpNBIpGw+dHpnulkQ789ra2tbH0Si8WcZ7o+6WTxYRklIpibm6OpqcnomqJLD4Dz/ulksrN5bGho\nYPOmUqmg1WrR3t7OxkokEnEuPjwRnTpA/hcDgFauXMnCly5dovDwcBo4cCD5+Phw0j377LMG+WUy\nGfOp7ebmRvfv36e1a9eSqakpJSQkkJmZGV26dInWrVtHFhYWnbZj165dNHXqVGpubiYAZGtrSyUl\nJU/cj9GjR9OaNWto2LBhnPjBgweTs7MzERG99957tHbt2keWY2pqShqNhvr370+XL1/mPPP19aVb\nt27R5s2bae7cuWRiYkJWVlYkFotp3bp1tHXrVnrmmWcoMjKSk6+yspKsrKyM1uft7U3Tpk0jog5/\n2QCoe/fuBum+/PJLeueddwiAQbv0WbJkCccX+vnz52nw4MGP7DMR0euvv04bN26kdevWEQAqLy83\nmu7+/fvk5uZGFy5coIEDBxIR0ciRI2nWrFn03nvvcdICoPb2diIimjRpEnXt2tVgfoiIM9YikYha\nWlo4zwcNGkRyudxoezZs2ECjRo2i559/nlNvYGAgicViUiqV9MUXXxARkYeHB8lkMurVqxdNmTKF\nBAIBNTQ0kFgsJgAUFBREAoGA3N3dadq0abR582YSCATk7+9PQqGQBgwYQDY2NhQaGkpyuZwGDBhA\nMpmMiIgcHBxo0KBBNHDgQM77JBaLyd7eng4ePGi0/W+++SYJhUISCoXUp08fGjFiBHtP3n77bfrq\nq69o+/bt1K9fP3r11VdZvhEjRtCJEydYOCwszOD9fOmll8jNzY3MzMw4aXXvgVqtJoVCQa6urpSd\nnU1isZhef/11+uabb2jBggVG29sZ48aNIwC0aNEiTvzkyZOZL3kApNFoSCKR0Ouvv07vv/8+ffLJ\nJ5z0y5Yto1WrVtFbb71F69ato0uXLpGzszOJxWIiIpo5cya5u7sb1D9x4kQKCAigF154gfbt20eO\njo5UXFxMhw4dovHjx7N0Y8aMoaNHjxIR0alTp8jGxob++OMPIiKaMmUK7d69m6XVl8XBgwfT+fPn\niYhIoVCwZ8uXL+fMt46wsDCKi4uj+Ph46tevH4vfsmULzZ49m4UHDBhAFy9e5PQjNDSUJBIJERHN\nmjWL5syZQ5MmTaJXXnmFtm3bZnT8H/UJ4bfFeHh4eHieOvzHhYeHh4fnqcN/XHh4eHh4njqi6Ojo\n6P9ExStXrsTnn3/ONEjFYjHc3NwQHByM4OBg9O3bFwCQnZ2NqKgoA5/ztra26N27N4RCIaytrdGz\nZ08olUqYmZlh9OjRaGpqwpgxY5jm7vDhw422QyaTwdPTE15eXsjPz8eUKVMQGhr6xIdX5ubm6N69\nO7p37858ZQOAXC5HUFAQwsLCoFAo0LVrVzg5OXVajq4/1tbWCAoK4hysW1lZMR/eXl5esLe3R9++\nfREYGIjnn38eHh4ecHBwwMCBAzk+1QUCARwcHJiVWH1aWlowcOBA+Pn5QSaTIScnBwsXLuRoaQOA\niYkJs7AbGRnZqaE8XR91GsMSiQRubm7Mt3xn6KwLqFQq3Lt3DzNmzDB6AC0UCuHk5IQ+ffrA1dUV\n3bp1g4WFBfz9/RESEsLRHrazs0OfPn0gEAhgbm4OOzs7DBw40MCHu6WlJRtrW1tblkeHUqlEUFCQ\nUSvPJiYmzCKxbszPnz+PyZMno2vXrvD19cXkyZPh5OQECwsL+Pn54dlnn0X//v0hlUoRGRnJLpLM\nmzcPffv2xdixY9GvXz8EBgYiPz8fw4cPh4mJCebPnw8XFxeEhYXByckJo0ePRteuXTF8+HBoNBqE\nh4ejZ8+eCA8PZ+9TdnY2+vfvj7Fjxxr1gy4Wi3Hv3j34+vpi3rx5CA0NRUBAAMLDw5lFAQ8PD9ja\n2mLw4MHMYoHOf73ugg0RoVevXpyxVSqVcHR0RJcuXTBhwgSWVv89cHBwwIgRIxASEgKhUIhx48bB\nz88P3t7eUKlUj5QZfXQXeubOncvxB69UKtG9e3fY2NgweWhra8O4ceOYxQ197XaFQgEfHx82d66u\nrhCJROjbty+zNO3u7m4gCyKRCD4+PsyKg4+PD3r27AkzMzOoVComGxYWFggICIClpSWkUikEAgHT\n8lcqlfD392eXBfRl0cLCAkFBQTA3N4etrS2GDh2K0NBQNpYPWybRybSVlRVcXV3h7+8PoGM98vT0\nZPOoL/tAxzqmk9WoqCgolUrWlx49eqBbt25Me1+flStXorNPCK+hz8PDw8PzD8Fr6PPw8PDw/Fvh\nPy48PDw8PE8d/uPCw8PDw/PU+Y9+XG7fvs28FiYnJzMPcLm5uSguLkZ2djbH+1pdXR1u3Ljx2HIf\nPHjAXLv+o9y8eZPjGbOpqQnJycnQaDRITExESkoKEhISmLdBferr65m73ceRlJRk1KObrj59MjIy\ncP78eVy+fPkv9saQztr+V8nPz+d4GNTn6NGjuHv3LgAw18KPIjMzE2vXrkV6ejpycnKYp8TW1lZc\nvXqVpbt69SpSU1M5nhOBDlfKSUlJBuVu2LABKSkp2L17N7RaLdRqNXOtqyMtLQ3V1dVITEzstH0V\nFRUct7R5eXkoKipCUVER8vLyOP148OABKyslJQVpaWk4fvw4gA5t8JSUFOzYsQPp6ek4cuQIiAhb\nt25FYmIi6urqcOTIEaSnpyMjIwPV1dXYunUrjhw5gsuXLzMPqWlpacjKysJ3332HzMxMzjwY66NO\npm/cuMFx7VtWVoacnBwkJiZy3CVkZmZyPHXev38fx44d48hrQkIC6uvrkZSUxNwDd0ZDQwOuXbv2\nyDT/KAUFBcyjrY47d+4gNzf3se+isbxPyqPkX5+Hx1w//7Fjx9DY2IjKykocOXKEs+7cu3ePefO8\nevUqbt26xbzlZmRkoLS0FCkpKY+t35g8PI67d++itLTUIL62thb79u3jeKY0Sqfqlf9iADCtViIi\nV1dXys/PJyKihQsX0tdff01Tp06lXbt2sTyXL1+m/v37P7bsHTt20PTp0/+p9ulrxhIRFRQUkIuL\nC6WmplK3bt3Iy8uLzMzMqK6uziBveno6BQQEPFE9Dg4ORi0C6DTS9Rk2bBj16dOHevfu/dc6YwS5\nXE4NDQ3/dDmdaQoTEdnZ2dHSpUuJ6NGavDpeffVVEovFFBUVRa+++ir9+OOPRERUVVVFlpaWLJ2l\npSX17t2brly5wsmvVCqpa9euBuUKhUKaNGkSicViun37Nl25coVCQ0M5aXr27EmnTp0iOzu7TtsX\nExNDkydPZuF33nmHvvzyS/rss89o8eLFLH7kyJG0b98+sra2JiIid3d3mjBhApmYmBAR0d27d8nT\n05MA0IwZM8jc3JxaWloIAHXt2pXi4uJILpfTpEmT6Nlnn6UTJ06QXC4nd3d3Cg4OpmPHjlFSUhL1\n6tWLxo8fTwKBgGbPnk2rVq1ibUhMTDSQk4EDB9KFCxcMrEBs3bqVZs6cSXZ2dlRWVsbi9bXKiYg+\n+OADUigUVFpayuJMTEzo5s2b5OHhwbS7O+PmzZvk7+//yDT/KCtXrqTly5dz4qZPn06rVq2i4ODg\nv5z3SXmU/Ouj05x/mGXLlpGVlRXl5OTQgQMHyMbGhi5cuMCe/8///A99++23RERkYWFBkydPph07\ndhAR0dChQ2nHjh3k5eX12Pof1th/El577TX64YcfDOLPnj1LMpmM8vLyeA19Hh4eHp5/L/zHhYeH\nh4fnqcN/XHh4eHh4nj5/aRPuKQKAMjIy2B7vlStXmJXjO3fuUEFBAWVmZnL2d2tqaig1NfWxZZeU\nlNCtW7f+qfZdu3aNqqurWbixsZHi4+Oprq6OLl++TAkJCXTp0iUDS7pERGq1mpKSkp6onri4OGpq\najKI12q1BmcK169fp5MnT9K5c+f+Ym8MuXjxIrW2tv7T5eTm5lJubq7RZ7GxsXT79m0iIvrzzz8f\nW1Z6ejpFR0dTamoqZWVlUXFxMRERNTc3c84ILl++TFevXqXa2lpO/tOnT1N8fLxBuWvXrqX4+Hja\nunUr1dfXU21tLaWkpHDSJCcnU0VFhdF9cR1lZWWUkZHBwjk5OZSfn0/379+nu3fvsvi0tDQqLS1l\nbb5y5QqlpKTQb7/9RkREDQ0NlJCQQD/88AMlJydTbGwstbe307fffkuXL1+m6upqio2NpdTUVLp+\n/TpVVlbSt99+S7GxsXT+/HmqqKiguro6Sk5Ophs3btC6desoLS2N8vLyWBuM9VEn06mpqVRTU8Pi\ni4uLKSsry0AW09PTqaKigoXv3btHsbGxnDQXL14ktVpN8fHxnLMCY2g0GkpMTHxkmn8UY3J469Yt\nysnJeey7+CgZ/kfqNcbDY67j3r17dOjQIWpoaKAHDx7QgQMHOOtOdnY2FRYWElGH5fgbN26wM9rr\n169TUVERJSQkPLb+J1079bl9+zYVFRUZxFdVVdEvv/xCWq32kWcuT1VDv2/fvgY3nAAgKioK+/fv\n58TxGvo8PDw8f28etY4/NWdhRIRbt24hMjISUVFRnGd/xVYQDw8PD8/fn6f2ccnLy0N9fT3Gjx+P\nqVOnPq1ieXh4eHj+hjy1A/2MjAwAeKwVXB4eHh6e//d5aib3Dx06hLNnz2LdunWQSqVobm6GSCTq\nNP3KlSvh4+ODsrIyCAQCWFlZYe/evXBzc2O+sGNjY5GSkgIHBwccO3YMrq6ukMvlSE9Px7179yAS\nifDnn3/C19cXpaWlOHv2LKRSKVatWoVRo0Zx6rt//z7Wrl2LPn36cHxt37hxA3fv3kVhYSF+/vln\n5lv8m2++wa1bt0BEcHd3R3NzM2bPno1x48YhLy8PSUlJqKioQEVFBVpaWnDgwAFs2LABEokEV69e\nRVpaGnJycqBWq3H69GnmmxoAfv75Z2RmZjK/35s2bcLdu3eRkZGBgIAAg7H65ZdfUFZWhpaWFtja\n2iI+Ph7Z2dnIyMiAr68vgA7t9MbGRtja2uLs2bNob2+HtbU1Fi1aBJVKBVtbW1ZedHQ0tFotMjIy\nkJycDG9vb0ilUsTGxuLkyZMoLy+Hubk5Fi1ahNOnTyM4OJiZ5j5y5AiUSiWUSiXy8vLw7bffQqVS\nwdLSEkCH//SYmBhmgn3btm24du0a6uvroVarYW9vDwC4fPkyJwx0+PlevHgxfH19WXmnTp2CUChk\nZuMLCgoQFxfHTJkTEbZs2YJevXrh1KlTyMrKQnV1NZycnLBmzRoIhUKj27I//vgjUlNTsW/fPqxb\nt45jvjw5ORmffPIJzpw5gxEjRnDM8N++fRs7duyAg4MDHjx4gIyMDOzcuROrV6+GQqHAzz//jPXr\n14OIcPz4cdy8eRMODg6YOnUqiAi3b9/GgQMH0KNHD/z444/Yu3cvRo0ahUuXLmHHjh2Ijo7G5s2b\n8dtvvyE2NhaTJ08G0KHlX1JSAmdnZzQ2NmL9+vVITEzE9evXmfzev38fXl5eWLp0KdauXYvGxkbc\nunUL2dnZ2Lt3Lw4ePIj+/ftDLpcjPz8f//M//4OdO3ciKioKIpEIV69excyZM9HW1oaTJ0/Czc2N\nzYOOQ4cOYdq0abC1tWXm3B/FsWPHcPr0ady8eRPe3t7IyMjAlStXUFxcDC8vL07ad999F15eXkhM\nTMSpU6dw8uRJNDU1wdvbG9nZ2fj++++RnJyMsLAw1NTU4PDhwwgICEBDQwP27t0LV1dXTJ48Gd27\nd8eGDRvg5uYGGxsbJCcn4+zZs8jKykJdXR3c3NxYHo1Gg7q6Oty7dw+VlZUQi8U4fvw40tLSoFKp\nsH//fnh7e0MsFmP69OloampCUlISQkJCDPqqk9Vdu3YhPz8f169fZ/Pav39/7Nu3D926dWN+64EO\nCx3bt29Hz5498dZbb8HZ2Rmpqano2rUrzp07h9bWVtjY2KCxsRG7d+9GWVkZsrKyUFtbi7a2Nkyd\nOhUjRoyAQqFAeXk5Tp48iW7duuHgwYOwtbWFQqEwaOd7772HxMREZsnE0tISZmZmADosAiQnJ6Ox\nsRE7d+6Ei4sL4uPjIZfLYWFhgcOHD7P05eXl+OKLLzo1uf/Ubou99NJLZGFhQdHR0RQQEEAikYgC\nAwPp+PHjRtMDIBcXF5o4cSL9+uuvRETUpUsXys7OZmmCg4MpODiYLl++zPzIExGtW7cGASufAAAg\nAElEQVSO3nrrLTp37hwNGTKEiP5Xe//3338nqVRqUN/vv/9OpqamnPKJiL7++mtauHAhvfXWWyST\nySgyMpLmz59PcrmcnJyc6M033yQiorq6OgJALS0tFBsbS5GRkcwn+IkTJyg4OJhEIhFNmTKFvLy8\nyNbWlkJCQmjVqlXUt29fmjt3LqtTqVSSt7c3u0nl4+NDo0ePJm9vb6NjZWdnR1OnTqWffvqJiIgW\nLFhAb7zxBg0aNIilmT17Nm3ZsoWIiF588UXas2cPERFJpVKOlQMiInNzc3rttdcoNDSUnJyc2I2Q\nPn36kFQqZf61JRIJWVhYcG6n6VsuOHToEDk4ONCRI0fY8wcPHpCtrS0Le3p6koeHB82fP582bdrE\n4vU1j3XU1taSWCymQ4cOsbgJEyZw/MAfP36cRo4cycLt7e3sxkpkZCS99NJLtHjxYmpqaiKhUEjz\n5s0zOqZBQUEUGhpKSqWSBAIBrVmzhj374osvyNTUlABQe3s7J9+2bdvIw8OD9u7dy/ySW1lZEQAa\nOnQoyWQyEolENGrUKHJxcSE/Pz86ceIEAaDhw4dTREQEWVhYUFZWFvXo0YP5rV+yZAnZ2dkRAM4/\nHR999BF99NFHRERUUVFBZmZm5O3tTQEBATR8+HCaPXs2sx7g7OxMQqGQevToQYMHD6axY8eSs7Mz\nmZiYMJn7448/SCqVMv/yujYAoGeeeYZcXFzo999/Nxi3vn37EgB6/vnnjY7rwwwdOpQcHR3J3d2d\ncnJyaNWqVTRhwgSaMmWKQVqxWEz79u2j0aNHk4uLC9nZ2dGsWbOIqMPqhouLC9nY2BBRx00mHx8f\nIiIqLS0le3t7SktLIwD03XffkYmJCdNkX7FiBQ0ePJhGjRpFCxcuJKKOG6UODg705ptv0vr162nR\nokX0+eefU2pqKvXo0YM8PT3p7t275OzsTIWFhcyCwpAhQ8jU1NRoXyMjIyk2Npasra0pNDSUXFxc\nyMXFhaRSKWVmZpKlpSVVVVVx8nz44Ydkbm5O+fn5JBQKaePGjTR8+HAiIo6FksrKSrKysqJx48bR\n1KlTadmyZXTy5EkCQMnJyUREzGoDUYfFCV38w1hZWZGXlxcFBgYaWA749ddfaeLEibRp0yZSqVT0\n+++/04gRI+jEiRNExLU0kJSU9O/R0M/IyEBdXR2SkpKwePFiLF68GGVlZXjuuedw+PDhp1UNDw8P\nD8/fgKd2oD937lw0NDTg7bffZnEffPABHB0d8eabb2L8+PEGeerq6pCZmYn9+/cb9XLGw8PDw/Pf\nQ21tLbZu3YpTp06huLj4kWmf6sflYczMzBAREYFff/0VBQUFHFe0QIdrTX9/f7zwwgsYMmTI02oK\nDw8PD8+/AAsLC8yePRv9+/dHcnIytmzZ0mnaf7mb47Vr12Lp0qVISUnhHIIJBAJUVVVBLBZDKpVC\nJpOhuroa5ubm7CJATU0N2traYG5uDo1Gw55ptVq0t7dDKpWioaEBFhYWaGlpQUNDA2T/p707j4uq\n3P8A/pmVWZiFfd8RERQuILjikgotJuVSaouluVTXrbJbt3uLbr9Xi2ZpmaXpK21Rc8nUTM2bqamg\nkiiCiCDIIrIO6wwzA8P39wevOZeRYbNJjZ736+Xrxdme85znPOc8njnn+zx2digvL+/wEtdoNOLG\njRvc2Nhm5rTM+7O3twcRQaPRQCqVQqlUQi6Xg4iQl5eH4OBgGI1GGI1G8Pl88Pl8CAQC1NXVQaPR\nwM3NDSaTCTweD3w+HyKRCDqdDlKplHtpptFoQERQq9UQCAQoLy+HQCCAQCCwOt55+3KSSCTQarUw\nmUwgIm588sbGRgiFQkgkEjQ0NHBlWlhYCDc3N4uPGIqLi6FQKMDj8WAymaBWq8Hn81FbWwu9Xg+p\nVAqZTIaCggIIBAL4+vpy49rX1dVBJpNBJBLBaDSioqICrq6uEIvFAIDW1lbU1tbC0dERALghFSQS\nCZe/m/Nr1traiuLiYnh4eHDptT8W83nU6/VQKpUAwJ0rJycnNDQ0wGQyQSQSQSaTobS0FCqViiv3\n9ioqKkBEaGpqQk1NDUJCQriXn1qtFjdu3ODGTW//Ql+v16OmpgaOjo4gIrS0tKC2thbl5eUIDAxE\nbW0tampq4OPjg+bmZu6cXr58GR4eHhAIBNBqtfD09ERlZSW0Wi2CgoLQ0NCA2tpalJWVQa/Xw97e\nHiKRiPvAQ6fTAQBkMhlaW1u5/JvrjVAoBJ/Ph0KhQH5+PqqqquDv78/V0YaGBrS0tMDf3x8CgQBG\noxG5ubloaWlBREQEeDwetFotLl++DG9vb7S0tMDFxYU7D2Z1dXXIyMiwGPO9K/X19WhqauLKwWAw\nwGAwQCgUch+JmJnrqtFoRFNTE4xGI1QqFZRKJQwGAyoqKiASieDu7g6TyYT6+no4ODhwdU6pVOLS\npUsICgpCdXU13NzcYGdnB51OB51OBx6PB4lEArlczm1jZ2cHPp+P1tZW7nptbGwEEUGpVKK+vh5K\npRJ8Ph+XL1+Gm5sbiMjqsZvram1tLVduBoMBOp0Ovr6+qK+v5641M51Oh5qaGri7u3PHb77nta/7\n5vwKhULu3icUCpGdnY3w8HAIhUK0tLSgsbERarWau5e1/3jALD8/H0KhEEqlEjwej7uezfk1Go0Q\niUTQaDRwdnaGXq+HRCKBWCy2uP5bWlogEok6DaK0SeNSW1uL0aNHY+zYsVi1apXFsvj4eJw6dQq1\ntbUWlYlF6DMMw/y5dXUft8kLfbVajbCwMKxfv95icK9Lly7h5MmTmDRpUof/pTAMwzB9l81+Fjt3\n7hwGDx4MT09PzJo1C0VFRdi2bRs8PT1x5MgRBAUFWe6YPbkwDMP8qXV1H7fpO5eff/4Z//nPf3Dx\n4kU4OjpixIgRWL58Odzc3HqVKYZhGObud9sal97g8XhYsmQJHB0dMX/+fAwZMgQPPPAA1qxZgyee\neAJJSUmYOnUq4uLiEBgYCDc3N0ybNg3vvfcerl+/DoVCgf3793Mva+fPn4+AgAC88sorANp6AHj+\n+efx9ttvw8/PD4sXL+40Lw0NDXjnnXdw4cIFvPDCCxg3blyXeS8tLcUHH3yAhoYGPPTQQzAYDFAo\nFBg9ejSWLVuG6dOnIzc3F5WVlThw4ADi4+Nx/vx5zJw5E05OTigvL4eXlxdGjhzJpbl69WqkpKSg\nf//+GDBgAPLz8/H000/Dw8Oj27L89ddfcePGDTzyyCPcvNOnTyM3NxePP/54h/W/+OILREZGQqlU\n4tlnn8Xu3bthb2+P5cuXY8aMGdi0aRPmz58PV1dX/Otf/8KyZcugUqlw4cIFzJo1C9OnT0dGRgau\nXbuGb775Bu+88w40Gg127twJACgoKMDu3btRUVGBhIQELF++HAcPHoTJZML8+fORm5uLH3/8EXK5\nHOfPn8dvv/2GOXPm4OOPP0ZiYiKICHPmzMHYsWPx1ltvAQA2b96M8PBwfPPNN1ixYgWEQiGWLl0K\nb29vFBUV4fXXX+/0BbN57Pr77ruPm1dbW4uEhARunPvy8nJ8/vnn+Ne//oV///vfePHFF6FWq7Fq\n1SpkZmZiw4YN3LZGoxGLFy+GnZ0dpFIp8vPzMWrUKFy/fh1JSUmwt7fHr7/+ChcXF/zyyy+4cuUK\nfH19ceXKFaSlpWHKlCkQCoXc15Mff/wx4uPjUVhYiMLCQowfPx79+/fH7t27cf36dURHR0Mul+P6\n9etYuXIlcnJyYDAYsGTJEnz//ffYuXMnXn/9dUyePBkeHh5wcXFBSEgI7O3t4ePjA41Gg9jYWDz5\n5JNYsGABioqKsHXrVuTk5ODXX3/FSy+9hISEBHz44Ycdym7FihV49NFH8eWXX2Lu3Llwc3PrULdW\nrFiBvLw8uLq64oEHHsCOHTtQUlKCb7/9FpcvX8bPP/+M559/nkuzsLAQO3bswEsvvcTNW7x4MT78\n8EOcO3cOWVlZmDVrltVzuWvXLly5cgXR0dFITEzEDz/8AJFIhMTERBw9ehTV1dVcx7k7duxAdnY2\nRo8ejQ0bNmDIkCFYsGABAgICMHLkSIwfPx4zZ87EokWL4Orqivr6epSVlWHDhg3YsWMHtmzZApPJ\nhPDwcDQ2NiImJgbz5s3D7NmzMXnyZEybNg2LFy9GaGgonn32WQBtH6q8/PLLCAoKwoIFCzBr1izM\nnTsXBoMBa9asgUAgQEVFRY/Gve/MtWvXsGvXLrz44ovIzs7Gc889h19++YVbvnTpUu4a6Yz5/vjF\nF1/g0UcfRX19PU6ePGnx1W91dTVWrFiBS5cuITk5GdHR0dwy83X7zDPPdP6Q0Gl45R8MADk7O1O/\nfv0oNzeXGz+ciMjV1ZUbe10kEpG3tzf5+fnRxo0bSaFQEJ/PJ5FIRJWVlVx6crmcYmNjuenAwEDK\ny8ujgQMHdhtNXF5ezkVHr1y5stu8X7x4kfz9/cnX15feeOMNLrpXr9eTWCymL774gmbNmkXDhw8n\nsVhMCQkJJJVKadGiRbRq1SqaP38+ffrppxZpJiUlkYeHBw0fPpzmzp1LYWFhlJmZ2aOy/OSTT+jZ\nZ5+1mLdp0yZ68sknra4/bdo0+vbbb+nYsWMkEomooqKCiIiioqLot99+s+gpwd3dnRtX5bvvviOB\nQED33Xcf+fj4EJ/Pp1OnTpGvry8XaU70v/G6HRwc6KOPPiI+n09EbeOyCAQCEggE3DghO3fu5M7P\n2LFj6eeff6bDhw8TAPL19eXSnDFjBn3zzTckEom48UTEYjENHTqU3N3duxxTo310u1lJSYlFdPHl\ny5e5+ufl5UXFxcVcnuRyucW2Op2OxGIxeXl50cCBA8nR0ZGmTZtGMTExtGnTJtq/fz/dd999tGjR\nIho0aBCpVCpyd3cnkUhEAMjHx4cCAgIoNjaWxo4dSwBIJpORQCAgAOTt7U3Dhg3jovTFYjE5ODgQ\nj8ej999/nx599FEaMWIEERG9+OKLpFAo6OjRowSAJBIJKRQKGjlyJE2cOJHmz59PiYmJtHXrVgJA\nkyZNIm9vbwJAFRUVlJycTDwer9Nx2GNiYujs2bMUEhJCly9fJqKOdWvMmDHk7u5OXl5etHHjRoue\nB3766ScaP368RZpnzpyhwYMHW8zj8/nU0tJCX3/9Nc2cObPTc7lo0SKaMGEC16PCP//5T+5vc28b\nZs899xyNHj2aPvroI66HBL1eTwDI09OTZs+eTbW1tSSTyWjQoEEUHBxMcrmcSktLafbs2aRUKkkm\nk5G/vz+p1WqKj4+n2tpakkgk9NxzzxERUWhoqEV+KyoqSKVS0ZAhQ6i6upokEgm99dZb9MorrxAA\nksvl3PVwq1JTUykuLo6I2sYwujk9sVhMer2+yzTMPRCYz+/evXtp4sSJFusUFBSQl5cXSaVS2rZt\nm8WyHTt20JQpU25PhD7DMAzDmLHGhWEYhrE5m0Xo3wpnZ2c4OTmBz+eDx+Nx70/s7e0hk8kAAGKx\nGFKpFHK5HBKJBFKpFEajEWKx2CIYyZyWmaurKwQCARQKhdUguvb4fD7c3NzQ1NRktRfRmwmFQjg6\nOsJoNEKhUEAgEHDbeXh4QCqVQq1Ww9nZmcu7QqHgAjJVKhV3fGbmZUqlEiqVCi4uLl3+ZtqeTCbj\nginNzHmwxsHBgQuKkkgkXDk6OztDJBJxZQcAbm5u3HKJRAKRSMSdHzs7O4hEIiiVSrS0tHDpi0Qi\nODs7o66ujjt+MxcXF9TX13OBiRKJhAscdXJyglgsRmtrKyQSiUWXQGq1GlKp1OIdlIeHB5ycnFBf\nX99lD9zWPoM3B8yZCQQCrofm9sfs4ODABYS25+rqCgcHB6hUKtTX13PnVyqVws7ODo6Ojtw5lUql\nUKlUaGxsRHNzM+RyORfEJpVKAQByuRwmkwkmk4kLuBWJRGhuboZUKoVUKoVWq+XqiLmum+uLSCSC\nQCDgAmDN9V6lUsHR0RESiQQCgYDb9vr16+Dz+dx+Oqsr1urEzXXLXA7mY21/zZnLoj1z/WjPfF67\nqrfm422fvkKhsChDc3AtAC6AVi6Xw8nJiatnPB4Pcrkc9vb24PF4cHJyglqt5gIozeViZ2fHlRnQ\nVj95PB5UKhV3vZl7CDfj8/lwcnKCs7MzeDwel1dzmlKp1OJauRXty898DVsry66Yz6f5/Fo7T+bl\nBoOhwz7aX7eduaMv9O/QrhmGYRgb+MODKBmGYRimPda4MAzDMDbHGheGYRjG5ljjwjAMw9jcX6Zx\n+eCDD7B3714AbePAr1y5EgDw6KOPory8vNvtjx07hjfeeAOZmZn4+9//3uW6Bw4cwHvvvcdNp6am\ncj0HAG1RvBMnTuSmFy5ciIsXL/bqeFasWIElS5Zg8+bNeOONN3Ds2DGL5du3b8fatWst5qWkpODV\nV1/t8T7ef/99/PDDD92ud/nyZSxYsICb3rVrFz7++GMAwJYtW7B+/XoA/yvryZMnQ6PR4PHHH8ek\nSZNw48YN3HPPPfj6668tIuHPnj2LSZMmdTgOs6KiIjz55JMA2oZOaB+B39706dNRVlbWaf6//vpr\nfPDBB1wPB6+88gpSU1O55WvXrsX27dvxzjvv4NChQygsLERISAhyc3Px2muvITExkVs3LS3NIvK8\nOwEBAVCpVMjLy0NOTg4XIf3000+joKAAxcXFeOKJJwAACQkJKCsrw+TJky3S2LBhA77++msAsFo/\n9+7dy3Xd35m3334bM2fOxIkTJwAAjz32GK5fv84tv3r1KubMmYO8vDw888wzPT6+znR2HdXV1Vkd\nWPBm//jHP3D69Oku1/nqq6+wcePGW84jEWHs2LHc9Ny5c5Gbm3vL6QFARkYGFi1a1GG+uY515uLF\ni1i4cCGAtuh6c0T+kiVL8O9//xvDhg2zul1ZWRmmT5/eZZ4SExNhMBg6XW4tbzU1NXj44Ye7TPeO\nfop8O125coX7/Le0tBRXrlwB0HbD7apgzSorK5GVlYXExEScO3euy3XLyspw+fJlblqj0SAjI4Ob\nbmlp4S5ioK3Tz/r6+l4dT05ODsrLy+Hg4ICsrCwMGjTIYnlJSQlKSkos5lVXV/eqEcvJyenwibM1\nDQ0NFt1ZlJSUID8/H0BbA1BbWwvgf2V96tQpGI1GnD59GlqtFgaDAUePHsW4ceO4cUuAtgqck5OD\n4OBgq/vV6XRc9y0mkwm//vqr1fVSU1Oh1+s7zX9RURFKS0uRkpICoO1Cjo+P55ZfvXoVTU1NuHz5\nMjw9PeHr64uioiI0NjYiNzcX2dnZFnm+cOFCl+XVXkVFBfR6PRobG9HS0sKV49mzZ6HVaiEWi7mb\n6PHjx2EwGHDy5EmLNPLz87lPc+vr6zvUz/Lycly7dq3LfGRnZyMnJ4cbf+fmMtNqtTh79iwaGxuR\nlpbW4+PrjLV8Ah2vjc5kZGR0O8BgYWFhl+e9J44ePcr9nZaWhsbGxt+VXl1dHdLT0zvMN9exzrQv\nr6ysLAwYMAAAkJ6eDn9/f1y9etXqdnq93uI/StYcP36cG9PKGmt5a25u7lAPb/aXeXJhGIZhbh/W\nuDAMwzA295f5WWzAgAHw9vYGAHh7e3OPefHx8R2iT61xdXVFZGQkVCoV4uLiulzX09MT4eHh3LSz\ns7PFEM9CodDit9zY2Nguo5KtCQsLg1qtRmBgIPh8Phddbubn59ehF4Cb89GTfXh5eXW7nlKpxJAh\nQ7jp9sMi+/v7Q6vVAvhfWY8ePRpisRgjRoxAfX09JBIJJkyYgICAAIufKJ2cnBAWFoaQkBCr+5XJ\nZBgxYgSAtmjie+65x+p63Z3jgIAAyGQyjBo1CgAQFRVlEUEeEhICJycntLa2wsPDA3K5HAEBAVAo\nFAgNDbX4qcTR0RExMTFdlld7Hh4eqK6uhkKhgMlk4spx2LBh3DC15mMcN24cV37tBQcHc1Hq1uqn\nh4dHh/GUbjZw4EDweDyuV4SRI0dyaQJtvWYMGzYMCoUCQ4cO7fHxdaaz60gkEnX7cxcAREdHdzvM\nckBAAJqbm281iwCACRMmcH8PHTr0dw96qFarERsb22G+uY71ZLuIiAhuGJPBgwdDoVB0eo1IJBKL\nn3itGTdunEVvJz3Jm1gsxujRo7me0K1hEfoMwzDMLWER+gzDMMxtxRoXhmEYxuZY48IwDMPYHGtc\nGIZhGJu7qxqXMWPGIDMzs9fbffHFF1i2bBkAYOLEiUhNTcW3335rMW53T7z44ovYvHlzj9Z1c3OD\nyWTqdV5vxWefffa7v1LprRkzZuDw4cNWl2VlZXX4Yun69evw8PDA8uXLO01z9+7dmDt3rsW8kJAQ\naDSabvPz97//Hdu2beOmv/nmGyxevLjb7drLy8vjxkYxRzg/9NBDiI+Px4EDBzoN1jQbM2YM/vvf\n/1p8cVdcXGwxvXLlSrzzzjs4ceIEBgwYAD8/P25ZQ0MDAgICrKa9ZcsWDBw4ELt37wYAvPvuu3j/\n/fexZcsWqxHdtjZhwgSrwX3WjB8/HufPn+/RuomJiT0aLz48PBxLly7tUZpdsbe353risAV/f//f\nHTjZ/v5kzS+//IJp06ZZXZacnIw1a9ZYzKuvr0dgYOAt52fJkiVcjw634plnnsH333/PfbHWmbvq\nU+SamppbumGbI5wBoLa2Fi0tLTAYDGhoaOhVOo2NjT2O6DVHMt8Oer3eInL9dqivr4fRaLS6zGQy\noaamxmJea2srdDpdl/m0dk6qq6t79NVgQ0ODxWfK7c95T5lMJu6YzJ+o1tXVcYN4VVdXd7l9TU0N\nmpubLRrD1tZWi2mdTgej0Yjm5mbodDqLyGYi6nQfBoMBOp2OO0adTgehUHhL9fhWmK+bO7XuzWV1\nqwwGw+/+/Li9ntbPrnRXV5ubm1FXV2d1mXmAuPa6qkc90Zv7nDXma7G7e+Bd9eTCMAzD9A2scWEY\nhmFsTpCcnJx8J3b85ptv4uZda7VaDBkyxGIc7J4wGo1wcXFBWFgYtFotYmJiIJfL4ejo2KFDx67o\n9XoEBwfDx8en23Xr6+uRkJDAjQX/R9Lr9dBoNJgxY8Yfvi8znU6HiIgIi3HszUwmE3g8Hhc5DrT9\nPFRQUID777+/03cXzc3NUKlUiIyM5OY1NDRg7NixEIvFXeanqakJoaGhXI8Bzc3NcHR07La33/Za\nW1tx9uxZ+Pv7Y8aMGXBxcYFOp4OPjw+GDRsGmUyGcePGdbq9uW7JZDLunVNraytMJhM3bTAY4O3t\nDX9/f5SXlyMgIIDrPZaIoNPpMH78eKtl09jYiISEBHh4eECv18PX1xe+vr69rse3QqvVIjY2tkcd\nlTY2NiIuLq5H65rT7a4HipycHIwYMcKibtyKlJQUTJs2De7u7r8rHbOGhgbcc889EApv/Q1C+/uT\nNS0tLZBKpRg8eHCHZXq9HgEBARbv6ogITU1NXdbVrjQ1NSEkJITrseRWtg8LC4NMJkNKSkqH+7gZ\ni9BnGIZhbgmL0GcYhmFuK9a4MAzDMDbHGheGYRjG5u5o46LVatHQ0ACTyYTKyso7mZUu6XS6Xo8U\naWY0GnH9+vVOv2MH2l4KV1RUdJtWZWVll3FAN6dzq/kuLy/v9fswvV7PjTjZXd4qKyu5IXQrKirQ\n2tqKhoYGaLVa1NXVoampCRqNBunp6dzx9rSOtLS02DwG6eZ9d3ceAHDH0RkiQnl5ORobG1FUVASj\n0Yja2toexx/U1dWhqKioQzkCsIjZsZYPc1n3lEaj6TTm6WYGgwE1NTWoqqrqEN9yK+fm5vw3NjZa\njRkx30vutN9zr7iZ+Tya64o1nV0XFRUVqK6u7tEouzfran+9TeiOAEDLly+nl156iUpLS8nd3f1O\nZaVb69ato7lz597StqdOnaKgoCB67LHHOl2noqKCnJ2du03L29ubioqKOl1eXl5OLi4u3PSt5lsq\nlZJWq+3VNrt27aKHH3640+V1dXWkUCiIiGjSpEkUHR1NREQODg5UXV1Nr7zyCr399ts0c+ZM+vrr\nryk+Pp4AUHl5ORFRj+tIZmYmhYWF9Srv3SkoKCA/Pz9u2svLi4qLi7vcZs6cOfT55593ulyv15NY\nLKbXXnuN/Pz86Pjx4/Tggw/Snj17epSnp59+mqKioigiIoKIiJydnamiooKIiNLT0ykyMpKIiJ58\n8knatGmTxbbLli2j9957r0f7ISIaOXIkHT9+vEfr/vjjj3TvvfdScHAwXblyxWJZTk4O9evXr8f7\nJSJ64oknaPPmzdz0W2+9Ra+99lqH9VauXElLly7tVdp/hFWrVtGiRYtsktb58+cpIiKCDAYDiUQi\nq+uUlJSQp6dnh/lOTk40ZswYOnToUK/3azKZiMfj9WjdrpoQ9rMYwzAMY3OscWEYhmFsjjUuDMMw\njM3d0Qj9lStXIiQkBL6+vvD39//Do5BvlVwu5/LZW3Z2dnB0dERiYiL8/f2trsPn83t0/F5eXoiI\niOg0mv3mdG41397e3oiKiupyXO2bSaVSBAcHd9pbK4/Hg5+fHyIjI2FnZ4eIiAhERUXBy8sLf/vb\n3+Dk5ITQ0FCEhYUhPDwcoaGh4PF4mDp1KkQiEQQCQY/KSCQSISAgAAMGDOjVMXdFIBAgICAA4eHh\nAABPT09ERkZ22auAo6MjBgwYAGdnZ6vLeTwefH19MXr0aPj4+CA+Ph7+/v4YOHBgjyLfHR0d4e3t\njeHDhyM6Ohre3t6IjIyESCSCSCRCYGAgQkND4eTkhLCwMIsx0NVqNUJDQ7vt1dbMzc0NAwcOhL29\nfbfrSqVSBAUFIT4+HhEREZBIJNwyoVCIgICATiPVOzvO8PBwODo6AgCUSiX69+8PT09Pi/XM48jf\natS5rdgyH2KxmKvLfn5++Nvf/tZhHfN1cXNPFV5eXhg9ejQiIyN73eMJAPj6+lr09t0Zaz2tmNk0\nQr+kpAQbN27E1q1bYTKZkJCQgBUrVkAmk3XcMYvQZxiG+VPr6j5us8altbUVsf2weeEAABUMSURB\nVLGxyMjIwJw5c+Ds7IxVq1YhNjYWhw8f7tA3D2tcGIZh/ty6uo/bbDyXtWvXIj09HampqYiLiwMA\nDBkyBElJSdizZw+mTJliq10xDMMwdzmbPbkMHDgQcrkcp0+ftpjv5eWFyMhI/Pjjj5Y7Zk8uDMMw\nf2pd3cdt9kL/lVdewZQpU5CQkGAx//Tp00hLS8MLL7xgMf/NN99EcHAwIiIicOrUKWzfvh1arRY+\nPj7Yu3cv0tLSEBISApFIBKBtRLjdu3dDoVDg7NmzaGpqgqurK/Ly8lBfX4+6ujpUVlZavLhMS0uD\nTCaDRCLBqVOnkJubCzc3N6SlpeHixYvo168f6uvrceHCBVRWVuLHH3+ESCSCq6srqqurkZaWhsrK\nSu7lYWNjI86dO9fhZd2pU6fg5OSE3NxcpKenQy6X47fffoO/vz/q6upw8eJFaLVaaLVa2NvbY+PG\njbh06RJMJhM8PDyslmdFRQWuXr0KpVKJtWvXYsiQIThy5Aj3wvzkyZNwcXHhygdoi+g9ceJEhw8H\nzp49C3t7e0gkEhw7dgxFRUVwcXGBRqNBQUEBdDodNBoNHB0draYLtL1PKy0t7fCC+vTp01CpVLCz\nswMAHDt2DF5eXhAIBMjPz0dNTQ0cHBy49XNyctDU1GTx0rq4uBjvvfceysvLodPpcOPGDeTm5sLf\n3x9HjhyBn58feDweCgoKoNFooFAorB5nYWEhKisrUVpairKyMmg0mg5DBpw/fx4GgwHZ2dlWh1Yw\nH09xcTE++ugjGI1GeHp6YsmSJbh48SIkEgk8PT1x48YNpKamorq6GkePHoWvry8kEgk+/PBDfPnl\nl1x5qlQqrhzUajV3Ds+cOYO0tDQcO3YMGzduhFAoRHBwMH777Td88cUXyMzMxKFDh3D16lUcOHAA\nR44cwSeffAIPDw+kpaVBLBbjxx9/xLVr16DVarl6dP78ebS2tiI9PR11dXU4d+4c8vLy0K9fP+Tn\n52PVqlUQi8WoqqpCZmYmSkpKIBKJUFxcDJPJBIPBgGPHjnHTzc3N2Lp1K2JiYkBEWL9+Pc6fPw97\ne3s4OTnh+PHjUKvV2LZtG7y9vVFTU4Pr16/DxcUFWVlZOHv2LDw8PCASifDLL7+gvLwcarXa6scQ\nVVVVWLduHUQiEYiIS+dmP//8MwwGAwwGA65cucJd49nZ2TAajbh27Rp4PF6HERx7qrq6Gjk5ORbX\nZnZ2NlauXImqqio0NTVh3bp1yMzMhI+PD86cOYODBw+iX79+Fh8wWKtb9vb2SElJQWVlJRQKBQoK\nCqDX67mX7mfOnEFpaSk0Gg03PHT7e1pXDhw4gJqaGhw6dAgFBQUIDAzkXkfk5uaisbGxw9AH7e+R\nQNv1q1arsXnzZggEArS2tkKpVOKnn37CoUOHEBkZCYFAAKDtelu1alWnL/RtEqFfXV1NPB6P3n77\n7Q7L5s2bZzW6FADx+XwiIho+fDiJxWKKiYmh8vJyUigUJJfLKT8/n1v/wIEDpFarafXq1TRgwACa\nPn06EREX2W2O9m9v2LBhdPLkSSIiCgoKIl9fX8rNzaW4uDhycnIiIqK0tDSKjo6m++67j5RKJS1c\nuJDbX1xcHA0bNoxLLyMjgwYOHNjhWAIDAykvL49mz55N4eHhtH37dnJwcCAiotOnT1NsbCwtXbqU\nVq5cSVqtlvh8PqnVapoxY0anZbpz506aPHkyXb16lQBQS0uLRTSsr68vXbt2zWIbjUZDarW6Q1pD\nhgyhlJQUIiJSq9UUFBREOTk5tH37dpo6dapF1LO/v79FuZutXbuWFixY0GF+REQEnT9/nptWqVRU\nU1NDRESvv/46JScnW6y/cOFCWr16tcW89evXE4/HIz8/P3rooYdozJgxpFQqiYhIJBKRwWAgov9F\nZ1dVVZGjo2OHvJjrwNSpU2nBggU0e/bsDuvce++99Nlnn1FoaGiHZUREgwYNogsXLtC7775LQqGQ\nIiMjqaCggACQVCqlRx55hIiIvvzyS4qKiqKpU6eSSqXi6plIJCIA5OnpSWvWrLEoh/aRz1OmTKGg\noCCSSqUEgAIDA4mIKCkpiQQCAanVahKJRKRWq8nOzo6EQiEBoPj4eBIKhfTqq6+SSqUiT09PGjdu\nHJf/+++/n7755htydnamKVOm0KBBg8jX15eIiN5//33i8XgUExNDTzzxBEVHR9OoUaNo/fr1XCT8\n/v37KTQ0lEaOHEn/+Mc/aPfu3dz129raSgDI0dGRlixZQkRELi4udObMGZJKpbR//3767LPPaN68\neUTUFl3v6+tL586dI6PRSEKhkMLCwigzM9Nq2e/bt4/4fD5NmDCBPv/8c5ozZ47V9fh8Pi1YsIA+\n+eQTi2vc3CvC5MmTaefOnVa37YlDhw7RhAkTLOa99NJLBIDc3NzokUceIQAkFovp22+/JXt7e+Lz\n+Vw+OhMREUEpKSkkk8koOjqa0tLSaMGCBbR27VpunZiYGEpKSqJFixZR//79O9zTuhIeHk6PPPII\n8Xg8UqlUdOPGDYv8L1++vMM2w4cPpxMnTnDTjo6OlJqaSkKhkKZPn07r1q0jIqKoqCgSi8VcLxBE\nbfWpqybEJnEuhYWFAMB9Ltieg4MDWlpaLMYZZxiGYfo2m7zQN3fi19WojNZGciMiJCcno7i4mOt0\nj2EYhrk7nTx5EufPnwfQNupnV2zy5GIeUtRar7g1NTVQqVRWA3l4PB6Sk5Ph4+PTq4A9hmEY5vYb\nMWIEkpOTkZyc3OH9+s1s8rVYc3MzJBIJli1bhnfffddi2bRp05Cbm8u1dtyOeTz88MMPeOCBB5CR\nkYH09HT0798fMTExOHHiBLRaLSZMmMC9KK6rq8PJkycRGRmJ4uJiuLi4ICgoCCUlJeDz+eDxeGhp\nabF4SZudnQ1vb28oFApkZGTAYDBg0KBByMnJQWNjI0aMGAGtVotr165BJBIhKysLkZGRCAwMRF1d\nHa5evQqpVMpFe+t0OuTn53eIhs3IyEBISAhu3LiBsrIyhISEoLCwENHR0VyX6vb29hCLxXBxccGe\nPXsgFosRHByM0NBQq2Wq0Wig0Wjg7e2N7777DjNmzEBaWhpiY2MBABcuXEBoaChXPkBbl+YZGRmI\njo62SOvSpUvw9fWFvb09zp07BwAICwvjXuTLZDK0trbC29vbarpA2wcGOp2uw0v0zMxMBAYGcoGy\n586dQ0REBIRCIdcdvHnce6DtJ1SJRGIRHV5eXo6tW7eif//+8PHxAY/Hg8FgQHR0NNLS0hAdHQ0+\nn4/S0lK0trbC3d3d6nHeuHEDLS0tMBgMaG1t5aL127ty5QoUCgWqqqqsRvubj6e6uhr79u1DVFQU\noqOj8d5778HLywvDhg1DWFgYqqqqkJeXB4VCgcLCQsTHx0OhUOCrr77C1atXERMTg7i4OLi5uXHl\n4OnpyZ3DrKwslJeXQ6PRIDMzEwkJCRg+fDguXbqEkydPwt7eHvX19XBzc0NlZSWam5uRk5ODWbNm\noba2FiEhIbhw4QLkcjk8PDzQv39/7vgcHBxQUlIChUKBsrIy8Hg8jBgxAiUlJfj+++8RHx8POzs7\n1NbWQigUws/PDw0NDVAqlRAKhcjKyoKdnR3c3Nwgk8lw7NgxTJ48GUSEXbt2gc/nY/DgwfD19UV6\nejqCg4Pxyy+/YNSoUTAajVw9yc/PR2lpKaKioiCVSnHu3DnY2dkhODgYUqm0Q9nX1tZi3759GDx4\nMJydndHY2Njh/AFtH6g4OztDLpejurqau8YLCgpgb2+Puro6ODo6Wv2Zvifq6upQVlbGlSkAXLt2\nDbt27UJ4eDh8fHxw9OhRqFQq3HvvvcjPz0dBQQHuv/9+KBSKTtPNzMyEn58frly5AolEAn9/f1RW\nVkImk8HV1RUAkJWVBaCtZ4+ysjL4+flZ/fDEmhMnTsDBwQG5ublQKpWIj4/nPswpLi6GUCjs8AFR\n+3sk0Hb99uvXD4cOHUJERATUajVcXV2RkpKCoqIiTJ48mUuzrKwMHh4ef3wQZVhYGNRqNU6dOsXN\nIyJ4eXkhNjYWe/bssdwx+xSZYRjmT62r+7jNfouaN28eTp8+jYyMDG7evn37UFZWhueee85Wu2EY\nhmH+BGz25FJXV4dBgwbBYDBg8eLF0Ol0WL16NRITE7Fz586OO2ZPLgzDMH9qt+XJRaVS4cyZMxg9\nejTWrFmDgwcPIjk5GRs2bLDVLpjf4ejRo3c6C385rMxvP1bmdw+b9S0GtH01tn37dlsmydjI0aNH\nMWbMmDudjb8UVua3Hyvzuwf7/pdhGIaxOda4MAzDMDZn08HCerXjLqL5GYZhmD+HzpoQm75z6Q32\npRjDMEzfxX4WYxiGYWyONS4MwzCMzbHGpY+Li4sDn8/v8G/atGl3Omt9ytSpUzF27NgO80tKSvDm\nm28iNDQU/fr1w/PPPw+dTncHctj3dFbmrM7fHe7YOxfmj0dEyM7OxsMPP4wpU6ZYLPPz87tDuep7\nPvzwQ3z33Xcd4itaW1uRlJSEjIwMzJkzB87Ozli1ahUuXbqEw4cPWx2GgumZzsqc1fm7B6vdfZh5\nCNykpCTMnDnzTmenz9HpdFi2bBk+/fRTq8vXrl2L9PR0pKamIi4uDgAwZMgQJCUlYc+ePR1ufkz3\nuitzVufvHuxnsT7M3H23ecgAxnb0ej2ioqLw2Wef4fnnn7cYVsDss88+Q2xsLNewAMCDDz4IDw8P\nbNy48XZmt0/oSZmzOn/3YI1LH3bzhWY0Gu9kdvoUvV4PPp+P7777Dh9//DEEAkGHdYqKijBq1KgO\n80eMGGHRezjTMz0pc1bn7x6scenDMjMzoVQqsXLlSgwaNAgymQwRERE4ePDgnc7an55KpUJWVhaS\nkpKsLtdoNGhsbLQ6YJWDgwMqKir+6Cz2Od2VOcDq/N2ENS59WFZWFurr63H27Fm8/PLLePnll1Fe\nXo4HHnigw+BtTO/weLwuh+YuLCwEgE4bl5aWFmg0mj8sf31Rd2UOsDp/N2Ev9Puw+fPnQ6fTYenS\npdy8f/7zn3B3d8fChQu7/B8g8/uYTCYAXXdzxL4Wsz1W5+8erHb3YfPnz+8wz97eHhMnTsT27dtR\nXFzc4/G5md5xd3cH0DYu/M1qamqgUqmgVCpvd7b6PFbn7x7sZ7G/oKioKABAVVXVHc5J3+Xm5gYe\nj2f1py+NRsNiLm4zVudvP9a49FG1tbWIjIzEkiVLOiz74YcfwOPxEBwcfAdy9tcgEonQv39/HD9+\n3GI+EeHkyZOscfkDsDp/d2GNSx+lVqsRFhaG9evXo7Kykpt/6dIlnDx5EpMmTYJCobiDOez75s2b\nh9OnT1t8drxv3z6UlZXhueeeu4M565tYnb+73LHxXJg/3rlz5zB48GB4enpi1qxZKCoqwrZt2+Dp\n6YkjR44gKCjoTmexz/D390dgYCCOHDnCzaurq8OgQYNgMBiwePFi6HQ6rF69GomJidi5c+cdzG3f\nYK3MWZ2/e7Anlz4sOjoahw8fRlBQED799FOkpKRg5syZOHPmDLvIbMzaV2EqlQpnzpzB6NGjsWbN\nGhw8eBDJycnYsGHDHchh32OtzFmdv3uwJxeGYRjG5tiTC8MwDGNzrHFhGIZhbI41LgzDMIzNscaF\nYRiGsTnWuDB9xlNPPWV1eNub/z399NPYtGkT+Hx+hyDH2+1uyQfD2Br7WozpM1JTU5Gfn89NHz9+\nHOvXr8f8+fMRHx/PzQ8KCoKrqytSUlIwfvx4uLq63onsAgAKCgruinwwjK2xxoXpszZt2oTZs2dj\n06ZNePLJJ+90dhjmL4X9LMYwDMPYHGtcmL+km991mKfz8vLw1FNPwdvbG+Hh4XjnnXcAAN999x2G\nDx8OT09PLFmyBHl5eRbp6fV6vPzyyxg4cCBUKhWGDh2KTZs23XI+rl69irlz5yIgIACenp547LHH\netSj7969ezF06FAolUr4+/sjKSkJly9f7mXpMMzvxxoXhmnnvvvuQ1VVFV544QWIxWK89tprePzx\nxzFnzhwMHjwY8+bNw7p16yx63m1ubsaIESPw0UcfISwsDP/85z+h0Wgwe/ZsvPrqq7eUj4kTJyI1\nNRXPPvsskpKSsHXrVkycOLHLbU6cOIHJkydDKpXi9ddfx8yZM5Geno7BgwezYZWZ244NFsYw7QQG\nBuKHH34AAEydOhX+/v7YsmUL/vvf/+Kee+4BADQ2NmLt2rVoamqCVCrFmjVrkJ6ejkOHDmHChAkA\ngJdffhnz58/HypUr8dRTT6F///69zsf+/fu5aZ1Oh6+++goFBQUICAiwus33338POzs7HDx4EHZ2\ndgCAhIQEPPvss0hLS8P999/f6/JgmFvFnlwYpp2HH36Y+9vX1xcuLi5QKpUYNWoUNz84OBh6vR7p\n6ekAgO3bt8Pb2xtRUVGoqqpCVVUVqqurMXXqVLS0tODw4cO9zsf06dMtps2DXbXvSv5m/v7+aGpq\nwrJly3Dp0iUAwJgxY5Cdnc0aFua2Y08uDNPOzYN4SaVSDBgwwGK8e4lEAgBoaWkBAOTl5aG6utrq\np8Q8Hq/D+5me8PT0tJhWq9UA2t7tdGb27Nn46aefsGbNGqxZswaBgYGYOHEi5s2bh7CwsF7ngWF+\nD9a4MEw7crm8wzw+v+sH/ObmZkRFRWHFihVWl3t4ePQ6HyKRqNfbyGQy7N27F2fOnMH333+PvXv3\n4qOPPsK6deuwY8eObt/ZMIwtscaFYX6nfv36ISsrC0OHDoVMJuPmV1dX4/jx4+jXr99tyUd+fj4q\nKysxZMgQxMXF4e2330ZaWhpGjRqF1atXs8aFua3YOxeG+Z0efPBB6PV6bNu2zWL+woUL8eijj6Kh\noeG25OP999/HmDFjcOPGDW5eeHg4FAoFxGLxbckDw5ixJxeG+Z2WLVuGLVu24JlnnsGmTZuQlJSE\no0ePYv/+/XjppZdu2/uO119/HZs3b8aYMWMwefJkKJVK7NmzBzU1NZg3b95tyQPDmLEnF6bP4vF4\nVofCbb+8q+nO5t08XyqV4rfffsOSJUug0Wjwf//3f7Czs8PmzZvxn//8p0f57O0+rXF3d8dPP/2E\nBx54APv27cOHH34IBwcHHDhwAElJSd3mg2FsifUtxjAMw9gce3JhGIZhbI41LgzDMIzNscaFYRiG\nsTnWuDAMwzA2xxoXhmEYxuZY48IwDMPY3P8DdqqqaWvybtwAAAAASUVORK5CYII=\n" } ], "prompt_number": 20 }, { "cell_type": "markdown", "source": [ "Now that we have some spike trains, we want to do some data analysis.", "", "Peri-event rasters", "-----------------", "", "While these spike trains are over a 20 second period, experimentally recorded spike trains can be extremely long -- it could be hours' worth of data.", "", "We usually only want to do analysis around experimentally salient events. Let's suppose such an event happens 11 seconds into the recording time." ] }, { "cell_type": "code", "collapsed": false, "input": [ "event = 11 * pq.s", "raster_plot(spiketrains, event=event)" ], "language": "python", "outputs": [ { "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAZcAAAEICAYAAACTVrmbAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nRU5ErkJggg==\n" } ], "prompt_number": 21 }, { "cell_type": "markdown", "source": [ "Let's look at the spikes 0.5 s before the event, and 2 seconds after the event." ] }, { "cell_type": "code", "collapsed": false, "input": [ "window = (-0.5, 2) * pq.s", "raster_plot(spiketrains, event=event, window=window)" ], "language": "python", "outputs": [ { "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAZcAAAEICAYAAACTVrmbAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nwzAMY3b/D7Xk2Cl3eR53AAAAAElFTkSuQmCC\n" } ], "prompt_number": 22 }, { "cell_type": "code", "collapsed": false, "input": [ "def time_slice(spikes, tstart, tend):", " return spikes[np.logical_and(tstart <= spikes, spikes < tend)]", "", "perievent = [time_slice(spikes, event + window[0], event + window[1])", " for spikes in spiketrains]", "raster_plot(perievent, event=event)" ], "language": "python", "outputs": [ { "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAZcAAAEICAYAAACTVrmbAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAAAAAElFTkSuQmCC\n" } ], "prompt_number": 23 }, { "cell_type": "markdown", "source": [ "We can do these same functions in terms of milliseconds without changing anything!" ] }, { "cell_type": "code", "collapsed": false, "input": [ "event = 7000 * pq.ms", "window = (-2500, 1000) * pq.ms", "raster_plot(spiketrains, event=event, window=window)" ], "language": "python", "outputs": [ { "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAZcAAAEICAYAAACTVrmbAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nJQaUAAAAAElFTkSuQmCC\n" } ], "prompt_number": 24 }, { "cell_type": "markdown", "source": [ "We can even mix units!" ] }, { "cell_type": "code", "collapsed": false, "input": [ "event = 5.0 * pq.s", "window = (-1000, 1000) * pq.ms", "raster_plot(spiketrains, event=event, window=window)" ], "language": "python", "outputs": [ { "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAZcAAAEICAYAAACTVrmbAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAElFTkSuQmCC\n" } ], "prompt_number": 25 }, { "cell_type": "markdown", "source": [ "Spike binning", "-------------", "", "Sometimes in order to do calculations, we need to \"bin\" the spikes; that is, we discretize time into a finite set of bins, and sum up the number of spikes that occur within that time bin.", "", "Often this binning requires confusing calculations in order to determine the number of bins in a time window. With `quantities`, however, this is easy." ] }, { "cell_type": "code", "collapsed": true, "input": [ "def bin_spikes(spikes, tstart, tend, binsize):", " binsize.units = tstart.units", " bins = np.arange(tstart, tend + binsize, binsize)", " return np.histogram(spikes, bins=bins)[0]", "", "binsize = 20 * pq.ms", "binned = np.vstack([bin_spikes(st, 0 * pq.s, 20 * pq.s, binsize) for st in spiketrains])" ], "language": "python", "outputs": [], "prompt_number": 26 }, { "cell_type": "markdown", "source": [ "To plot the result, we can use `pcolormesh` to make an image in which the color of a cell corresponds to the number of spikes in that time bin." ] }, { "cell_type": "code", "collapsed": false, "input": [ "def binned_plot(bins, window=None):", " plt.clf()", " plt.pcolormesh(bins, cmap=\"gray_r\")", " if window is not None:", " plt.axvspan(window[0], window[1], facecolor='b', alpha=0.5, ec='none')", " plt.xlabel(\"Time bin\")", " plt.xlim(0, bins.shape[1])", "", " # Discrete color bars take a bit of code", " bounds = np.arange(0.5, np.amax(bins) + 1)", " norm = mpl.colors.BoundaryNorm(bounds, len(bounds) - 1)", " plt.tight_layout()", " plt.colorbar(format=\"%d\", spacing='proportional',", " norm=norm, boundaries=bounds)", "", "binned_plot(binned, (525, 650))" ], "language": "python", "outputs": [ { "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAWYAAAEICAYAAABs2F48AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nkgwDMxGRZBiYiYgk8/8AV6O13pKWbGUAAAAASUVORK5CYII=\n" } ], "prompt_number": 27 }, { "cell_type": "markdown", "source": [ "It's easy with this code to bin only the perievent spikes." ] }, { "cell_type": "code", "collapsed": false, "input": [ "peribinned = np.vstack([bin_spikes(st, event + window[0],", " event + window[1], binsize) for st in spiketrains])", "binned_plot(peribinned)" ], "language": "python", "outputs": [ { "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAWsAAAEICAYAAACZJtWMAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAH0lJREFUeJzt3XtQVOf9BvDnrIhRkYs1iChBQaqSeMEIMbVRrIqhIhsj\nUWvQkdqKFVE0SEaZ1tWYXsYL8VKhts7o1Ek61lKNl+porWOCgsExoYK2QRHGpl4XRFg3CLy/P/yx\nZd2F3YXDsi/7fGaYgXN735ezPB7P7ve8ihBCgIiIXJqmsztARES2MayJiCTAsCYikgDDmohIAgxr\nIiIJMKyJiCRgV1hfuHABU6dOhb+/PwICAhAXF4eSkhKzbW7fvo0NGzZg+PDhCAsLQ0pKCgwGQ4d0\nmojI3Si2Pmd98+ZNhIWFwc/PD0lJSTAajThw4ACMRiMuX76M8PBwNDY2IjIyEkVFRVi8eDH69euH\njz76CJGRkTh9+jQ8PDycNR4ioq5J2JCeni68vLzE48ePTctu3LghNBqNiIuLE0IIsXPnTqEoiigo\nKDBt8+mnnwpFUcShQ4dsNUFERDa0emVtNBoRFBSE6Oho/PnPfzZbN2nSJFy/fh13797FK6+8gt69\ne6OgoMBsm4EDB2L06NE4ceJEx/xLQ0TkJlq9P+Hp6Yn8/Hz07NnTbLkQAhUVFfD09AQAlJeXY+nS\npRb7T5gwARcuXFCxu0RE7qnVNxg1Gg1CQ0MRGBhotjwvLw/l5eWIjIxEZWUlamtr0bdvX4v9/fz8\ncO/ePXV7TETkhhx+56+6uhrJycnw8PCATqfDrVu3AKDFsK6vr4der7dYryhK23pMRNRGrdz1tZu9\n2eXn5we9Xt/u9po4FNY1NTWIj4/HtWvXsH79eowaNQqFhYUAWh9AS58GOXjwoNm98IMHDzrSHavm\nzJmj6vHaQ6fTQafTmY3xnXfeadOxWjqGPce2ts3z70E40r/m+xYXF0On09m1bVvHbg9bY3S0bUfG\n2Blsjc3RsTe9Vl2JI2NsrqXxOvsCsbKyUtXj2R3WVVVViI2NRUFBAVavXo3169cDAAICAkzrn1dZ\nWQkfHx94e3ur1F0iIvdkV1hXV1cjJiYGhYWFWL58ObZs2WJa179/fyiKYvVyX6/XIzg4WL3eEhG5\nKZsVjDU1NYiNjUVhYSFWrVqFHTt2mK3v3r07hg0bhvPnz5stF0IgLy/PrcM6Ojq6s7vQ4TjGrsEd\nxig7m2G9bt06XLx4EStXrsTWrVutbrNkyRIUFBSgqKjItOzo0aO4c+cOli1bpl5vJeMOfwAcY9fg\nDmOUXau3QUpLS5GTkwNfX1+MGTMGBw4csNgmMTERSUlJ2LZtG6ZNm4aVK1fCYDBg+/btePvttzF9\n+vQO6zwRkbtoNazPnDmD+vp6PHr0CElJSRbrFUVBYmIifHx8cOnSJaxYsQK7du1CYGAgdDodFi9e\n3GEdJyJyJ62G9dKlS61WJloTEBDQ6R+VIyLqqvg8ayIiCTCsiYgkYPN51h3WsKKoUvoJqF8l56yq\nO3s09aWz+9ESZ/evI8+Ns857U5Wtq982bGt1bEvbqPU7bevx1MocRyoh1YxXXlkTEUmAYU1EJAGG\nNRGRBBjWREQSYFgTEUmAYU1EJAGGNRGRBBjWREQSYFgTEUmAYU1EJIEuUW7eXFcoR3alcnc1tTSZ\nsauX1MuoM15DtiZ17uzzy3JzIiLqcAxrIiIJMKyJiCTAsCYikgDDmohIAgxrIiIJMKyJiCTAsCYi\nkgDDmohIAl2igrErT5jbRK3JS9Xcz55jOOvYzb+3NhGto/1wZPvm2zbnyH5q/87s0dZ+d2Q/OrLq\neM6cOaxgJCKijsWwJiKSAMOaiEgCDGsiIgkwrImIJMCwJiKSAMOaiEgCDGsiIgkwrImIJCBtBaMr\nVhnKwFXmwyP18W+idZyDkYiIOhzDmohIAg6HdUJCAiZPnmyxPCoqChqNxuKL/x0jImo/D0c2zsrK\nQm5uLqKjo82WCyFw7do1zJo1C7NnzzZbFxwc3O5OEhG5O7vC2mAwYM2aNcjOzra6/tatW6itrYVW\nq8X8+fNV7SAREdkR1kajERERESgtLUVKSgoOHz5ssU1xcTEAYMSIEer3kIiIbN+zNhqN0Gg0yM3N\nxc6dO9GtWzeLbZ4P67q6OpW7SUTk3myGtY+PD4qLi6HValvc5urVq/D29sbWrVsxcuRI9OrVC6NG\njcLJkydV7SwRkbuyGdaKokCjaX2z4uJiVFdX44svvkBGRgYyMjJw9+5dzJgxA0eOHFGts0RE7sqh\nT4O0JDk5GQaDAatWrTItW7duHQICApCamtriVblOpzN9Hx0dbfEpEyKitjp37hzOnTvX2d1QjcPl\n5oMHD0ZISAjOnj1rc9t58+bh4MGDKC8vR1BQkHnDNko/bZXOqjXZqBrl1zKV+Tq73NyRiX47crJU\nZ01Iq/ax58yZY/re2kTAzdt0pdeetX7bcz6aszWe5mXf9sQYy81bERERAQB48OBBRzZDRNTltTus\nq6qqMHr0aKSlpVmsO3bsGBRFwdChQ9vbDBGRW2t3WPv6+iI8PBx79uzB/fv3TctLSkqQl5eH+Ph4\n9OnTp73NEBG5NVVug6xZs8ZUPJOZmYkFCxZg9OjRCAoKwpYtW9RogojIrTkc1tZuro8dOxanT59G\naGgosrOzcfHiRcyfPx+XLl1CaGioKh0lInJnDn90r6yszOryKVOmYMqUKe3uEBERWeLzrImIJMCw\nJiKSAMOaiMiJLly4gKlTp8Lf3x8BAQGIi4tDSUmJzf2knTBXLa5Y/WWrCs6RqraWjqFGP5pv09m/\nv7aO15ExtqSzx96kMyo21daRfXWFCsabN28iLCwMfn5+SEpKgtFoxIEDB2A0GnH58mWEh4e3eCxV\nng1CRES2ZWdno1evXrh16xa8vLwAAKtWrUJYWBjef/99HD16tMV9eRuEiMgJjEYj9u3bhzfffNMU\n1AAQEhKC73//+7h06VKr+/PKmojICTw9PZGfn4+ePXuaLRdCoKKiAp6enq3uzytrIiIn0Gg0CA0N\nRWBgoNnyvLw8lJeXIzIysvX9O7JzRETUsurqaiQnJ8PDw8Ps+f7WMKyJiDpBTU0N4uPjce3aNWRm\nZmLUqFGtbs971kREDnJkYhNrqqqqEBsbi4KCAqxevRrr16+3eTyGNRGRE1VXVyMmJgaFhYVYvny5\n3U8m5W0QIiInqampQWxsLAoLC7Fq1Srs2LHD7n3dvoKRXL/Cra1z9HUGR36Xzvq9u/r5VVtL41Wz\ngtHe2yDPt7dixQrs2rULK1euRFZWlkPt8jYIEZETlJaWIicnB76+vhgzZgwOHDhgsU1iYmKL+zOs\niYic4MyZM6ivr8ejR4+QlJRksV5RlFbDmvesiYicYOnSpWhsbERDQwMaGxstvhoaGlrdn2FNRCQB\nhjURkQQY1kREEmBYExFJgGFNRCQBhjURkQRc9nPWXbXqqq3jamneRTWq+xx9KI0a58Pa8VpqQ405\nJJtT+/Vka47G57dxdmVjV/r7aU7t14ur45U1EZEEGNZERBJgWBMRSYBhTUQkAYY1EZEEGNZERBJg\nWBMRSYBhTUQkAYY1EZEEGNZERBLghLk2uGLZuxp96oxxOXuCWFc5X4CcryNX7LM9XHnC3PbglTUR\nkQQY1kREEnA4rBMSEjB58mSL5bdv38aGDRswfPhwhIWFISUlBQaDQZVOEhG5O4fCOisrC7m5uVAU\nxWx5Y2MjtFotNm3ahOjoaMydOxf79+/HjBkzUF9fr2qHiYjckV3PszYYDFizZg2ys7Otrt+9ezeu\nXLmC/Px8REVFAQBee+01aLVaHDlyBLNnz1avx0REbsjmlbXRaERERARycnKQkpKCgQMHWmyTk5OD\nyMhIU1ADwMyZMzFgwADs3btX3R4TEbkhu8Jao9EgNzcXO3fuRLdu3Sy2qaiowMSJEy2WT5gwAUVF\nRer0lIjIjdm8DeLj44Pi4mJoNNZzXa/Xo6amBn379rVY5+fnh3v37rW/l0REbs7mlbWiKC0GNQCU\nl5cDQIthXV9fD71e344uEhFRuyfMbWhoAACLT4iYNeJhvRmdTmf6Pjo6GtHR0e3tjurUnkxWjaow\nWSdR7YyJah05Rkv9U6Mi0hUrAG31qSPPV3uO3TR5dPOJo5trOva5c+fMMkZ27Q7rgIAAAEBVVZXF\nusrKSvj4+MDb29vqvl3pF0lEruX5C8ANGzZ0XmdU0O4Kxv79+0NRFKu3OvR6PYKDg9vbBBGR22t3\nWHfv3h3Dhg3D+fPnzZYLIZCXl8ewJiJSgSrPBlmyZAkKCgrMPqZ39OhR3LlzB8uWLVOjCSIit9bu\ne9YAkJSUhG3btmHatGlYuXIlDAYDtm/fjrfffhvTp09XowkiIrfm8JW1tU99+Pj44NKlS5g0aRJ2\n7dqFkydPQqfT4Q9/+IMqnSQicncOX1mXlZVZXR4QENDiR2mIiKh9+DxrIiIJMKyJiCSgyhuM7eFo\nVZMj1WRNlU5Ay9VOanCkGkuNqrDm42p+PEeO7ez5EJ/nKnNHdmQ/Wnr9qVERae33aqsCs71ttvXY\nas+J6cjfshpVrq6CV9ZERBJgWBMRSYBhTUQkAYY1EZEEGNZERBJgWBMRSYBhTUQkAYY1EZEEGNZE\nRBJgWBMRSUARQohOaVhRYG/TapfLtnWC2+aa72fteJ1RZu2sEvK2cvX+2aL2ObWnnebfWytZ74j2\nO4qjfVb7cRGOZI6t49j7aAw145VX1kREEmBYExFJgGFNRCQBhjURkQQY1kREEmBYExF1goSEBEye\nPNnu7RnWREROlpWVhdzcXCiKYvc+DGsiIicxGAxISUnBe++95/C+nT4HIxGROzAajYiIiEBpaSlS\nUlJw+PBhh/aXooJRDbaqp5w1uS7JR+0JX6lzdHYFY1VVFV5//XX8+te/hlarxeDBgxESEoKzZ8/a\n1S6vrImInMDHxwfFxcXQaNp295lhTUTkBIqiOPSG4vMY1kREKrh37x7u37/fYcdnWBMROcjRpwaq\ngR/dIyKSAMOaiEgCDGsiIgkwrImIJMCwJiLqBI5+jE+KT4PYqj60Z243W+/e2lO16Mg8iM6qduvI\nufg6cu7L5lylMtCR/jn6u3HGebI1L6g9x7B3e2v72ZovsjPOc0vn1BWUlZU5tD2vrImIJMCwJiKS\ngKphHRUVBY1GY/HlKv/NJSKSlWr3rIUQuHbtGmbNmoXZs2ebrQsODlarGSIit6RaWN+6dQu1tbXQ\narWYP3++WoclIiKoeBukuLgYADBixAi1DklERP+vw8K6rq5OrUMTEbk91cL66tWr8Pb2xtatWzFy\n5Ej06tULo0aNwsmTJ9VqgojIbal6ZV1dXY0vvvgCGRkZyMjIwN27dzFjxgwcOXJErWaIiNySam8w\nJicnw2AwYNWqVaZl69atQ0BAAFJTU6HVai320el0pu+jo6MRHR2tVneIyM2dO3fOpSsYHdXhE+bO\nmzcPBw8eRHl5OYKCgv7XsJMnzJVdR5Yrt0dXnUxWjd+3s8rr1TgHzi6HV5s9oTxnzhzVJsy15/EU\narXXpMMrGCMiIgAADx486OimiIi6LFXCuqqqCqNHj0ZaWprFumPHjkFRFAwdOlSNpoiI3JIqYe3r\n64vw8HDs2bPHbMLIkpIS5OXlIT4+Hn369FGjKSIit6TabZA1a9bAaDQiIiICmZmZWLBgAUaPHo2g\noCBs2bJFrWaIiNySamE9duxYnD59GqGhocjOzsbFixcxf/58XLp0CaGhoWo1Q0TkllSdfGDKlCmY\nMmWKmockIiLwedZERFJgWBMRSYBhTUQkgQ6vYGyx4S5UwajGhL62ju2qFYKu3D9Xrfrsqlz9961W\n5nTZCkYiImo/hjURkQQY1kREEmBYExFJgGFNRCQBhjURkQQY1kREEmBYExFJgGFNRCQB6SoYrc21\n5orVUkRdiatXJ9qDFYxERNThGNZERBJgWBMRSYBhTUQkAYY1EZEEGNZERBJgWBMRSYBhTUQkAYY1\nEZEEGNZERBLw6OwOOMqRUteuUCKrNmdPcMtz4LocOTc8d52PV9ZERBJgWBMRSYBhTUQkAYY1EZEE\nGNZERBJgWBMRSYBhTUQkAYY1EZEEGNZERBJw2QpGaxPjAq5TScXKPPu4SsWpPcdWu/22Hs9Z/ZDp\ndcu/N15ZExFJgWFNRCQBVcP69u3b2LBhA4YPH46wsDCkpKTAYDCo2QQRkdTampOq3bNubGyEVqtF\nUVERFi9ejH79+uGjjz5CSUkJTp8+DQ8Pl709TkTkFO3JSdUSdPfu3bhy5Qry8/MRFRUFAHjttdeg\n1Wpx5MgRzJ49W62miIik1J6cVO02SE5ODiIjI00dAICZM2diwIAB2Lt3r1rNSOXcuXOd3YUOxzF2\nDe4wRlfQnpxULawrKiowceJEi+UTJkxAUVGRWs1IxR3+ADjGrsEdxugK2pOTqoS1Xq9HTU0N+vbt\na7HOz88P9+7dU6MZIiJptTcnVQnr8vJyAGixE/X19dDr9Wo0RUQkpfbmpCpvMDY0NAAAFEVpuSEr\n73K2tn1XsWHDhs7uQofjGLsGdxijWubMmWNzGy8vL7Of25qTpnV29q1VAQEBAICqqiqLdZWVlfDx\n8YG3t7fZciGEGk0TETlVW7OrLTnZnCq3Qfr37w9FUaxewuv1egQHB6vRDBGRtNqbk6qEdffu3TFs\n2DCcP3/ebLkQAnl5eQxrInJ77c1J1T66t2TJEhQUFJh9/OTo0aO4c+cOli1bBqDrlaNfuHABU6dO\nhb+/PwICAhAXF4eSkhKzbbrSmIuKiuDp6Wlxb1P2MRoMBqxcuRLh4eF46aWXsHbtWvzrX/8y20b2\nMQLA119/Da1WC39/fwwYMABz5szB7du3zbaRcZwJCQmYPHmyxXJ7x+LMMduTky0SKqmqqhJBQUHC\n399ffPjhhyIzM1N4eXmJ2bNnCyGEaGhoEGPHjhUeHh4iOTlZZGZmit69e4vo6Gjx9OlTtbrhNDdu\n3BAajUZ85zvfEenp6WL58uXC19dXvPDCC6K4uFgI0bXG/PTpUxERESEURREbNmwwLZd9jLW1tWLs\n2LGiT58+IjU1Vaxdu1b4+fkJHx8fUV1dLYSQf4xCCPHf//5X+Pn5CW9vb7FixQqRkpIivLy8xIAB\nA4RerxdCyDnObdu2CUVRxOTJk82W2zsWZ4/ZVk62RrWwFuLZC+Kdd94RAwYMEK+++qrYsmWLqKys\nFEIIsXPnTqEoiigoKDBt/+mnnwpFUcShQ4fU7IZTpKenCy8vL/H48WPTsqYAj4uLE0J0rTFv3LhR\n9OjRwyKsZR9jdna2UBRFfPLJJ6Zl5eXlolu3bmLLli1CCPnHKIQQGRkZQlEUceLECdOyw4cPC0VR\nxM9//nMhhFzjrK2tFcuWLROKolgNa3vH0hljbi0nW6NqWLfm5ZdfFlFRURbLAwMDRWxsrLO6oYon\nT56Ifv36iYSEBIt1EydOFP7+/kKIrjPmoqIi0aNHD/Hhhx9ahLXMY2xsbBTDhg0T06ZNs1i3Y8cO\nsX//fiGE3GNsMnPmTOHl5SUaGxtNy+rq6kSvXr3EW2+9JYSQZ5xPnjwR3/3ud4VGoxHLly8XgwYN\nsghre8ciy5iFEMJpz7PuSuXonp6eyM/Px/bt282WCyFQUVEBT09PAM8+BC/7mOvr65GUlISYmBi8\n++67FutlPq/37t3Dv//9b4wbN860rK6uDgCQmpqKhQsXApB7jE1GjhyJ2tpaXLlyxbTs+vXrePLk\nCcLDwwHI83o1Go3QaDTIzc3Fzp070a1bN4tt7D1nMp1bp4R1VytH12g0CA0NRWBgoNnyvLw8lJeX\nIzIyEpWVlaitrZV+zL/5zW9w48YN5OTkWHy+VPbz+s033wAAhgwZgo0bNyIkJAS9evXC6NGjTe/Y\nyz7GJomJiejfvz+WLVuGEydO4OTJk0hOTkb//v2xYMEC6PV6aV6vPj4+KC4uhlartbre3nMm27l1\nykOm7S2ztLZeFtXV1UhOToaHhwd0Oh1u3boFQO4xFxcX44MPPsBvf/tbBAYGmsbURPbz2hTWu3bt\nwjfffIOUlBR0794dO3bswJQpU/D555+b/pck6xibjBgxAqdOnUJUVBTi4uIAPKuWKywsxPDhw01X\n3DKMU1GUVqsA7X1dyvb6dcqVdXvLLF1dTU0N4uPjce3aNWRmZmLUqFHSj7mhoQGLFi3CG2+8gcWL\nF7e4DSDvGKurqwEAJSUluHr1KnQ6HTIzM1FUVAQhBNLT09HY2AhA3jE2OXr0KKZOnYqgoCBs3rwZ\nmzZtwsCBA/HDH/4Qn332mfTnsjl7xyLbmJ3Sk/aWWbqyqqoqxMbGoqCgAKtXr8b69esByD/mzZs3\n45///Cc+//xzPHjwAMCzfgNAbW0tHj58CH9/fwDyjrF///4AgIkTJ5q+b1o+fvx4FBYWSn8em6Sn\np8PDwwPXr1833eNNT09HYGAgUlNTcfz4cQDyjxOw/29PtnPrlCvrrlqOXl1djZiYGBQUFGD58uXY\nsmWLaZ3sYz516hTq6uoQFRUFf39/+Pv749VXXwXwLMj9/f1RV1cn9Rib3nNoGldzY8aMQV1dHXr0\n6CH1GAGgrKwMX3/9NRYuXGj2ZpynpycWLFhg+p+E7ONsYu/fnmx/o065srZVZhkZGemMbqiqpqYG\nsbGxKCwsxKpVq7B161az9bKPeevWrRZXHHfu3EFiYiIWLlyIhQsXIigoSOoxBgcHw8vLC1999ZXF\nur///e8ICQlBv379pB4j8L/bAi+88ILFum+//RbAs09YyD7OJvb+7Un3N+qszwhmZWUJjUYjvvrq\nK9OyI0eOCEVRxMmTJ53VDdWkpqYKRVFEWlpai9t0tTGXlZVZfM5a9jGmpaWJ7t27i88++8y07Msv\nvxSKoojFixcLIeQfoxBCDBw4UISFhYmHDx+alj1+/Fj4+PiIwMBA0djYKO04g4ODLT5nbe9YZBqz\nIoRznlX66NEjjBw5Et9++y1WrlwJg8GA7du3Y/r06Th06JAzuqCa0tJShIeHw8vLC1lZWVY/55mY\nmNilxgwAt27dQkhICHQ6HX7xi18AkP+8/uc//8GECRNQW1uLpKQkGAwG/P73v8eQIUOQn58PX19f\n6ccIACdOnEB8fDzCwsLwox/9CI8ePcK+fftQXV2Nv/71r4iLi5N2nIMHD0ZISAjOnj1rWmbvWKQa\nszP/ZWhrmaWraSpR1mg0pnLX5l8ajca0bVcZsxDWr6yFkH+M9+/fF4sWLRJDhgwRgwcPFkuXLhU3\nb94020b2MQohREFBgYiJiRH+/v7ixRdfFDExMWZl1kLIOc7BgwdbXFkLYf9YZBmz066siYio7ZxW\nbk5ERG3HsCYikgDDmohIAgxrIiIJMKzJLosWLYJGo7H5lZSUhH379kGj0VgUGzibTqeDRqNBRUVF\nq9u5Sn+JWuM6Tykhl7Z06VLExMSYfj5//jz27NmD5ORkvPHGG6bloaGh8Pf3x4EDBzB8+PDO6KrD\nJk2aJFV/yT0xrMku48ePx/jx400/19XVYc+ePXj99dcxf/58i+2HDBnizO61y5AhQ6TqL7kn3gYh\nIpIAw5pU9/w94KafS0tLsWjRIgwaNAgvv/wyfvWrXwEAcnNz8b3vfQ+BgYFIS0tDaWmp2fGMRiMy\nMjLwyiuvwMfHB+PHj8e+ffvs7k9FRQVmzpyJvn37YsyYMdi8ebNd/b1x4wZ++tOfYsiQIQgMDMS7\n775relwskbMxrMlpYmNj8eDBA6xevRqenp7IzMxEYmIiFi9ejHHjxmHJkiX43e9+h7S0NNM+T58+\nxYQJE7Bjxw6Eh4dj3bp10Ov1+PGPf4y1a9fa1W5cXBxKSkrw3nvvoa6uDu+//z6WL19u1375+fn4\n2c9+Bq1Wi08++cQ0ywqRs/GeNTlNSEgIjh07BgBISEjA4MGD8fHHH+PMmTP4wQ9+AODZo2d3796N\nJ0+eoGfPnti1axeuXLmCU6dOYdq0aQCAjIwMJCcnY+vWrVi0aBGGDRvWarvjx4/H8ePH0a1bN6xb\ntw5vvfWW6R+FoUOHttrfpofyA4DBYMAf//hHlJWV8R43OR2vrMlpZs2aZfr+pZdewosvvghvb2+z\n2aWHDh0Ko9FomhPw4MGDGDRoECIiIvDgwQM8ePAADx8+REJCAurr63H69Gmb7c6ePdv0ZERFURAf\nH4+GhgacPHmy1f3mzZtn9nNERAQA4P79+/YNmEhFvLImp3l+5o2ePXtixIgRZvPcNT0gv76+HsCz\nx9E2n0KsOUVRLO5vW/Pmm2+a/dx0FX/jxo1W93t+9npfX18Az+6hEzkbw5qcpnfv3hbLNJrW/3P3\n9OlTREREWLwp2GTAgAE22+3evbvZz02T4FqbOaW1/Yg6E8OaXFpYWBiKi4sxfvx49OrVy7T84cOH\nOH/+PMLCwmwe48svvzS7uj516hSAZwU8RLLgPWtyaTNnzoTRaMSf/vQns+WpqamYO3cuHj9+bPMY\nf/nLX0zf19fX4/Dhw+jZsydiY2NV7y9RR+GVNbm0NWvW4OOPP8ZPfvIT7Nu3D1qtFufOncPx48eR\nnp6O8PBwm8f429/+hrlz52LcuHHIyclBWVkZPvjgAwwcONAJIyBSB6+sqU0URYGiKK2ub+3nlpY9\nv7xnz564fPky0tLSoNfrsWnTJvTo0QP79+/Hxo0b7erjP/7xDzx69Ai//OUv4evri7179yIzM9Ph\n/ra2nKijcVovIiIJ8MqaiEgCDGsiIgkwrImIJMCwJiKSAMOaiEgCDGsiIgn8Hz6RcyCUaI/bAAAA\nAElFTkSuQmCC\n" } ], "prompt_number": 28 }, { "cell_type": "markdown", "source": [ "Changing the bin size is easy, and we can use whichever units make the most sense." ] }, { "cell_type": "code", "collapsed": false, "input": [ "binsize = 50 * pq.ms", "binned = np.vstack([bin_spikes(st, 0 * pq.s, 20 * pq.s, binsize) for st in spiketrains])", "binwindow = (event + window).rescale(binsize.units) / binsize", "binned_plot(binned, binwindow)" ], "language": "python", "outputs": [ { "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAWoAAAEICAYAAAB25L6yAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAckMz7cbhB0AAAAASUVORK5CYII=\n" } ], "prompt_number": 32 }, { "cell_type": "code", "collapsed": false, "input": [ "binsize = 0.05 * pq.s", "binned = np.vstack([bin_spikes(st, 0 * pq.s, 20 * pq.s, binsize) for st in spiketrains])", "binwindow = (event + window).rescale(binsize.units) / binsize", "binned_plot(binned, binwindow)" ], "language": "python", "outputs": [ { "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAWoAAAEICAYAAAB25L6yAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAckMz7cbhB0AAAAASUVORK5CYII=\n" } ], "prompt_number": 30 }, { "cell_type": "code", "collapsed": true, "input": [], "language": "python", "outputs": [] } ] } ] }