{ "metadata": { "name": "Brian tutorial CNS July 2013" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "Ignore this, just a few imports needed for the tutorial." ] }, { "cell_type": "code", "collapsed": false, "input": [ "from brian import *\n", "import time\n", "import pickle\n", "import joblib\n", "import gc\n", "\n", "def brianreset():\n", " clear(True,True)\n", " gc.collect()\n", " defaultclock.t = 0*second" ], "language": "python", "metadata": {}, "outputs": [] }, { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "Python data structures" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Python has some great datatypes, it's worth understanding and using them.\n", "\n", "* List\n", " - Appending is fast, inserting anywhere else is slow\n", " - Indexing x[i] is fast\n", " - Uses a 'dynamic array' structure\n", "* Dictionary\n", " - `X[key] = value`\n", " - Key can be (almost) anything\n", " - Fast!\n", "* Set\n", " - Fast to add or subtract elements\n", " - Fast for testing if an item is in the set or not" ] }, { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "Python iteration" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Don't do this:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "%%timeit\n", "for i in range(1000):\n", " for j in range(1000):\n", " i*j" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "10 loops, best of 3: 42.6 ms per loop\n" ] } ], "prompt_number": 24 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Do this instead:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "%%timeit\n", "for i in xrange(1000):\n", " for j in xrange(1000):\n", " i*j" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "10 loops, best of 3: 38.3 ms per loop\n" ] } ], "prompt_number": 25 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Similarly, don't do this:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "A = rand(100000)\n", "B = rand(100000)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 33 }, { "cell_type": "code", "collapsed": false, "input": [ "%%timeit\n", "for a, b in zip(A, B):\n", " a*b" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "10 loops, best of 3: 63.9 ms per loop\n" ] } ], "prompt_number": 34 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Do this instead:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "import itertools" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 36 }, { "cell_type": "code", "collapsed": false, "input": [ "%%timeit\n", "for a, b in itertools.izip(A, B):\n", " a*b" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "10 loops, best of 3: 51.5 ms per loop\n" ] } ], "prompt_number": 35 }, { "cell_type": "markdown", "metadata": {}, "source": [ "* `range` creates a list, whereas `xrange` can only be used for iteration.\n", "* There are many other nice tools for iteration in the `itertools` module of Python\n", "* Best of all is to use numpy vectorisation instead of loops" ] }, { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "Saving and loading data in Python" ] }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Saving and loading is easy in Python with pickle" ] }, { "cell_type": "code", "collapsed": false, "input": [ "import pickle\n", "obj = ['a', 'list', 'of', 'words']\n", "pickle.dump(obj, open('alistofwords.pkl', 'wb'), -1)\n", "newobj = pickle.load(open('alistofwords.pkl', 'rb'))\n", "print ' '.join(newobj)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "a list of words\n" ] } ], "prompt_number": 26 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Shelves are a dict-like database" ] }, { "cell_type": "code", "collapsed": false, "input": [ "import shelve\n", "shelf = shelve.open('test.shelf')\n", "shelf['meaning'] = 42\n", "shelf.close()\n", "newshelf = shelve.open('test.shelf')\n", "print newshelf['meaning']" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "42\n" ] } ], "prompt_number": 28 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "There are many other databases in Python" ] }, { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "A Python example" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Compute firing rates for a two parameter family of experimental data recorded in random order with an unknown number of trials per condition.\n", "\n", "First we generate some fake data - ignore this." ] }, { "cell_type": "code", "collapsed": false, "input": [ "from collections import namedtuple\n", "paramA = linspace(0, 1, 10)\n", "paramB = linspace(0, 1, 10)\n", "trials = []\n", "Trial = namedtuple(\"Trial\", ['a', 'b', 'spikes'])\n", "for i in xrange(100):\n", " a = paramA[randint(len(paramA))]\n", " b = paramB[randint(len(paramB))]\n", " r = (a-0.5)**2+(b-0.5)**2\n", " spikes = rand(int(r*100))\n", " trials.append(Trial(a=a, b=b, spikes=spikes))" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 40 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we compute the firing rates and plot them. Using a dictionary means that we don't need to precompute the set of which parameters exist and which don't, etc., but just immediately start computing what we need." ] }, { "cell_type": "code", "collapsed": false, "input": [ "from collections import defaultdict\n", "\n", "counts = defaultdict(int)\n", "numtrials = defaultdict(int)\n", "\n", "for trial in trials:\n", " counts[trial.a, trial.b] += len(trial.spikes)\n", " numtrials[trial.a, trial.b] += 1\n", " \n", "rates = dict()\n", "\n", "for a, b in counts.keys():\n", " rate = counts[a,b]*1.0/numtrials[a,b]\n", " plot([a], [b], 'o', ms=rate, c='k')\n", " rates[a, b] = rates\n", "\n", "pickle.dump(rates, open('rates.pkl', 'wb'), -1)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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Al3PH03XOeyaIyarD3RwNDQ2St9HU1GTW63K4dOkSjh49ipycHCxatEjpcogJ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\nYII=\n" } ], "prompt_number": 42 }, { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "Python: final thoughts" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "There are several other useful toolboxes that are worth finding out about.\n", "\n", "* **Multiprocessing** for running simulations simultaneously on multiple CPUs or computers (including over the internet). There are also other, simpler solutions for this.\n", "* **GUI toolboxes** are surprisingly easy to use and can be useful for interactively exploring your data/simulations." ] }, { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "Vectorising with numpy" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Don't do this:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "a = linspace(0, 1, 100)\n", "b = linspace(0, 1, 100)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 47 }, { "cell_type": "code", "collapsed": false, "input": [ "def getimg():\n", " img = zeros((100, 100))\n", " for i in xrange(100):\n", " for j in xrange(100):\n", " img[i, j] = (a[i]-0.5)**2+(b[j]-0.5)**2\n", " return img" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 54 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Do this:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "def getimg_vectorised():\n", " return (a[:, newaxis]-0.5)**2+(b[newaxis, :]-0.5)**2" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 56 }, { "cell_type": "markdown", "metadata": {}, "source": [ "They're equivalent:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "subplot(121)\n", "imshow(getimg())\n", "subplot(122)\n", "imshow(getimg_vectorised())" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 58, "text": [ "" ] }, { "output_type": "display_data", "png": 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8u8T3EQ9bYppniWgZIyNqXE8oKpsw3mNN3j2yVdLlgW0hGKTgECaPMD9SovMj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} ], "prompt_number": 58 }, { "cell_type": "markdown", "metadata": {}, "source": [ "And the vectorised version is much faster!" ] }, { "cell_type": "code", "collapsed": false, "input": [ "%timeit getimg()\n", "%timeit getimg_vectorised()" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "10 loops, best of 3: 39.3 ms per loop\n", "10000 loops, best of 3: 40.9 us per loop" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n" ] } ], "prompt_number": 59 }, { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "Advanced vectorisation" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "With a bit of ingenuity, almost everything can be vectorised, and numpy includes some nice functions to help with this. For the cases that can't, we'll come back to that later.\n", "\n", "Here's a more complicated example, computing the coincidence factor between two spike trains." ] }, { "cell_type": "code", "collapsed": false, "input": [ "delta = 0.005\n", "train1 = sort(rand(50))\n", "train2 = sort(rand(55))" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 61 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Don't do this:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "def cf_loop():\n", " num_coinc = 0\n", " for t1 in train1:\n", " for t2 in train2:\n", " if abs(t1-t2)]" ] }, { "output_type": "display_data", "png": 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} ], "prompt_number": 17 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Using multiprocessing (doesn't work in IPython):" ] }, { "cell_type": "code", "collapsed": false, "input": [ "if 0:\n", " import multiprocessing\n", " pool = multiprocessing.Pool()\n", " plot(V0, pool.map(IF, V0))" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 21 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Using IPython:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from IPython import parallel\n", "rc = parallel.Client()\n", "view = rc[:]" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 18 }, { "cell_type": "code", "collapsed": false, "input": [ "%%px\n", "from brian import *\n", "import gc" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 19 }, { "cell_type": "code", "collapsed": false, "input": [ "%time plot(V0, view.map_sync(IF, V0))" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "CPU times: user 19.93 s, sys: 0.00 s, total: 19.93 s\n", "Wall time: 19.92 s\n" ] }, { "output_type": "pyout", "prompt_number": 20, "text": [ "[]" ] }, { "output_type": "display_data", "png": 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} ], "prompt_number": 20 }, { "cell_type": "markdown", "metadata": {}, "source": [ "There are also many other options for parallel execution of code, including:\n", "\n", "* **playdoh** written by Brian's very own Cyrille Rossant. This library also allows you to easily apply global optimisation algorithms running in parallel over multiple CPUs and machines, for example for fitting models to data.\n", "* Brian's ``run_tasks`` function, but we'll come back to that later." ] }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "But before you start using multiple CPUs..." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Can you just do something like this?" ] }, { "cell_type": "code", "collapsed": false, "input": [ "def IF_vectorised(V0):\n", " brianreset()\n", " \n", " eqs = '''\n", " dv/dt=(v0-v)/(10*ms) : volt\n", " v0 : volt\n", " '''\n", " group = NeuronGroup(len(V0), eqs, threshold='v>10*mV', reset='v = 0*mV') \n", " group.v0 = V0\n", " monitor = SpikeCounter(group)\n", " duration = 1*second\n", " run(duration)\n", " return monitor.count/duration\n", "\n", "%time plot(V0, IF_vectorised(V0))\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "CPU times: user 5.72 s, sys: 0.00 s, total: 5.72 s\n", "Wall time: 5.72 s\n" ] }, { "output_type": "pyout", "prompt_number": 25, "text": [ "[]" ] }, { "output_type": "display_data", "png": 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} ], "prompt_number": 25 }, { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "Managing simulation data" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Good options include:\n", "\n", "* Using joblib and writing all your code as if it was running from scratch each time, but automatically cache the results.\n", "* Writing data to a shelf file or database.\n", "\n", "Brian has a specific solution based on shelf files, but which allows for the use of multiple CPUs and machines in parallel.\n", "\n", "* ``DataManager`` object\n", " - uses multiple shelf files (one per machine)\n", " - controls access via a single process (because the databases underlying shelf are not process safe)\n", "* ``run_tasks`` function\n", " - like a parallel ``map``\n", " - the data is written into a ``DataManager`` object\n", " - has an optional GUI allowing control over running simulations" ] }, { "cell_type": "code", "collapsed": false, "input": [ "if 0: # doesn't work in IPython\n", " from brian import *\n", " from brian.tools.datamanager import *\n", " from brian.tools.taskfarm import *\n", " \n", " def find_rate(k, report):\n", " eqs = '''\n", " dV/dt = (k-V)/(10*ms) : 1\n", " '''\n", " G = NeuronGroup(1000, eqs, reset=0, threshold=1)\n", " M = SpikeCounter(G)\n", " run(30*second, report=report)\n", " return (k, mean(M.count)/30)\n", " \n", " if __name__=='__main__':\n", " N = 20\n", " dataman = DataManager('taskfarmexample')\n", " if dataman.itemcount()" ] } ], "prompt_number": 2 }, { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "Understanding Brian's Network" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "When you call ``run()``, what happens is:\n", "\n", "* Brian creates a ``Network()`` object\n", "* It adds all existing Brian objects to this network\n", " - Actually, the rule is slightly more complex than this, see the discussion of 'magic' in the docs for more details.\n", "* It calls ``Network.run()`` on this\n", "\n", "The way ``Network.run()`` works is:\n", "\n", "* It builds an 'update schedule'.\n", " - This is the order in which objects are updated\n", " - Normally, this is\n", " - Numerical integration step\n", " - Thresholding operation\n", " - Synaptic propagation\n", " - Resets\n", " - You can change this.\n", " - You can choose to have certain objects update at specific points in this schedule\n", " - always at the start\n", " - always at the end\n", " - always just before synaptic propagation\n", " - etc.\n", "* At each time step:\n", " - Choose a clock to process\n", " - The one with the lowest current time\n", " - If several have the same time, they can be ordered for more precise control\n", " - Process all objects with this clock\n", " - Increment that clock's time\n", "* This is repeated until all clocks have run for the specified duration." ] }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Network operations" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The `NetworkOperation` object, and `network_operation` decorator allow you to run arbitrary code at every timestep. This is one of the main mechanisms for extending Brian to do new things that we didn't think of." ] }, { "cell_type": "code", "collapsed": false, "input": [ "brianreset()\n", "\n", "N = 5\n", "G = NeuronGroup(N, 'dV/dt = -V/(10*ms) : 1')\n", "@network_operation(clock=EventClock(dt=5*ms))\n", "def random_input():\n", " i = randint(N)\n", " G.V[i] += 1\n", "M = StateMonitor(G, 'V', record=True)\n", "run(100*ms)\n", "plot(M.times, M.values.T+3*arange(N)[newaxis, :]);" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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CnZBB7MmyMtxSVIQqs9nXpRAPomAnZBArbmtDldmMsfv34/WKCtgZ83VJxAN6DPYVK1Yg\nOjoa6enpHY81NTVh7ty5GDVqFK666ipotVqvF0kI8Q4rY/hdbCx+HjcOXzU0IPvAAfxMn+kBr8dg\nv+OOO7Bp06Yujz377LOYO3cuTp06hdmzZ+PZZ5/1aoGEEO+xMAapUIgUpRJbx47F/8THY9mJE7iu\nsBDHDQZfl0dc1GOwT5s2DRqNpstj69atw/LlywEAy5cvx9q1a71XHSHEq6wOByQCAQBAIBBgSXQ0\nTmRnY4ZajemHDuHukydxzmTycZXEWWJnX1BbW4vo6GgAQHR0NGpra7t93pNPPtkxn5ubi9zcXJcK\nJCQQORjDZ/X1uCYsDCFipz+GHmNhrCPY28mFQjwUH487YmLw3LlzGL9/P26MjMSjCQlIUih8VGlg\nysvLQ15enseXK2Cs56MlZWVlWLBgAQoLCwEAGo0Gzc3NHT8PCwtDU1NT14UKBOhlscQJ+3Q63Hb8\nOO4cOhQrhwyB2odBQDyj3GRC4t69CBWJsGLIENwfF4c4mazf68g9dAhPDh+OXLX6ss9ptFrxSkUF\n/lVVhWvCwvBQfDzGqlT9WOXg4ansdHpUTHR0NGpqagAA1dXViIqKcrsI0rNqiwVKkQiH9Hok7dmD\n+4qLcdpo9HVZxA0WxpAgk+FAZiZsjCFj3z4sO34c+3S6fm0UWTp1xVxOuESCvyUmoiQnBylBQbi2\nsBAzDh7El/X1sFEDzi85HezXXXcd3n//fQDA+++/j4ULF3q8KNKVhTEkyuX4KCUFR7KyoBSJkFNQ\ngKsOH8andXUwOxy+LpE4yXq+C2S4XI6XR4zA6ZwcpCmV+GVRESYcOIA3q6qgs9n6pQ5pL8HeTi0W\n49Fhw1Cak4N7Y2PxckUFkvfswd/PnqV+eD/TY1fMkiVLsG3bNjQ0NCA6OhpPP/00rr/+etx88804\nd+4chg8fjs8++wzqi77GUVeMZ31SW4tvGhuxJjW14zGj3Y6vGxrwbk0NDuv1WBoVhdtjYjBOpYKg\njx9U4juFej2WHj+OwqysLo87GMOW5ma8VVWFrVotFkZEYGlUFGZqNBB74e86bv9+vDd6NMa52LVS\n0NqK/1RX49O6OkwIDsbtMTG4ISICQSKRhysdHDyVnb32sbu0UAp2j/qgpgZbmpvxQUpKtz8vNRqx\nuqYGH9bWQioQ4OaoKNwcGYkxSiWFvJ860NqKO0+eREFm5mWfU20245O6OnxSV4dysxk3R0ZiSVQU\nJoWEeOzvmpqfjy/S0pCqVLq1HJPDgXUNDXivpga7dTpcExaGmyIj8YuwMAp5J1CwDyL/qa7G7pYW\nvDN6dI/PY4xhf2srPquvx2d1dQgSiXBDRASuDQ9HTkiIV1p8xDV7dDo8UFKCPRMm9On5p9rasOZ8\nyOtsNiyIiMCC8HDMUquhcCM4R+7di43p6RgZFOTyMi5WY7Hg6/p6fNnQgH06Ha46H/LzNBpoJBKP\nvU8gomAfRP5VWYkjBgP+NWpUn1/DGMPe1lZ829CAjU1NOGcyYV5YGK4JD8dcjQbRUqkXKya9+Vmr\nxWOlpdg+frzTrz3Z1oZvGxvxbUMDDur1mKlW4xdhYZil0WCUQuFUa37Y7t34efx4DJPLna6jLxqs\nVnzT0ICv6uuxvaUFY5RKzAsLw7ywMGQFB0NEjY0uKNgHkVcrKnDaaMRrI0e6vIxKsxnfNTVhQ2Mj\n8rRaDJFKMUOtRq5ajRlqNWIo6PvVj83NeObsWfw4bpxby2m0WvFdUxO2NDfjx+ZmMACz1GrM0miQ\nq1ZjmEzWY9AP3bUL+ydOxNB+GGppcjiwo6UFm5qasLmpCVVmM3LVakwNDcU0tRrjVKpB/62Sgn0Q\nebG8HDUWC15MTvbI8uyM4bBej21aLfK0WmxvaUGkRIKckBBkBQcjOyQEY1UqyIV0jThv2dTUhFcq\nKrApI8Njy2SMocRoxFatFlubm/FzSwsAYFJISMeUGRwMZaeum8idO3E8OxsRPugiqTSbkafVYkdL\nC3a0tOCsyYSckBBMDQ1FdnAwJgYHI2qQNTgo2AeRZ86eRavdjlVJSV5Zvp0xFBkMyG9tRb5Oh32t\nrTjZ1oZUpRKZwcFIVyqRrlRijFJJfaQesq6hAf+prsa6ThfY8zTGGM6Zzdij02G3Toc9Oh0K9Xok\nKRSYoFJhfHAw/nzmDKqnTEGoH5z01mS1YpdOhx0tLdjf2oqC1lYEiUSYqFJhwvmgT1cqES+TQRig\nLXsK9kHkqbIy2BnD04mJ/faebXY7Dun12N/aiqMGAwoNBhw1GBAqFneE/BVBQRipUGCEQoGhUimN\nwHHCl/X1+Li2Fl+OGdOv72t2OHDUYMBBvR4HW1tRabHgi7Q0v+wCYYyh1GRCgV6PA+eD/qjBgBa7\nHSlBQUgNCkKKUslvg4IwTC6HdIB/y6RgH0QeLy2FXCjE48OG+bQOB2M4azJ1BP0poxElRiOK29qg\nt9sx4nzIjwwKwjCZDAlyOeJlMsTLZFCLxRT8nXxSW4t1jY34pNO5CaRvtDYbjhsMKGprQ9H52+Nt\nbag2mzFEJkOSXI4khaLLbbxMhiip1O8P1noqO33//Yv0yuJwINgPxgILBQIkKhRIVCiwICKiy890\nNhsP+fNhf1Cvx7rGRpwzmVBuNoMBHSEfL5djiFSKaKkU0RIJoqVSRJ2fHyw7gPYzT4nz1GIxJoeG\nYnJoaJfHLQ4HzpnNOGM04ozJhDNGI76or8cZoxHlZjNabDZES6WIlckQ2357fhoilSJSIkGkRIJw\niWTAt/wp2AcAZ0779pUQsRgTgoMxITi425+32GwdIV9uNqPGYkGRwYCfLBbUWa2otVhQa7HA5HAg\n8nzIh0sk0IjF0LTftk8X3VeLxVCJRJAMoA8jBbvnSYXCjm+N3TE7HKi2WFBpNl+YLBYc1utRbbGg\nwWpFvdWKRqsVSpEIkRIJIs6Hffu8WixG6PltLrR9Eok67qtEIr/o/6dgHwAsDseACq3uhIrFSFep\nkN7LqesmhwN150O+yWZDs82GZqsVzTYb6q1WnDIaO+63Ty02G1rtdogAqESijin4/Aft4kkpFEIh\nEkEuFHaZFBfd7+4xmVAIiUDg9ofX4nAM+FbhQCMTCjFcLsfwXsbsOxhDy/ntrd5q7Qj8BqsVWpsN\n58xmaM9vdy02G5+329Fis6HNbkfw+bBXiUQIEomgPL/NdTcfJBTyx87Pe4rXgv2QXu+tRQ86NRbL\noLlMqlwoRIJcjgQnT5hhjMHCGPR2O/R2O1rP33aeWm026O12GBwOaG02mByOLpPRbr/ksY6fnZ8s\nDges5/tAJQIBJOeDvmPq4/3tLS1Yfv7/GhD/IhQI+LdCiQR9PyWQszEG3fnANzgcaLPbYTi/zXU3\nX2e1os1k6njcU7wW7LefOOGtRQ9KV3jwlO9AJBAIIBMIIBMKEd4PQzLtjMHKGKzng97q5P3bY2KQ\neZluKzJwiQUChEkkCHNxG/RUJw6NiiGEED/hs3+0QQghxL9RsBNCSIChYCeEkABDwU4IIQGGgp0Q\nQgIMBTshhAQYCnZCCAkwFOyEEBJgKNgJISTAULATQkiAcTnYV61ahbS0NKSnp2Pp0qUwm82erIsQ\nQoiLXAr2srIyvP322ygoKEBhYSHsdjvWrFnj6doIIYS4wKWrO4aEhEAikaCtrQ0ikQhtbW2IjY31\ndG2EEEJc4FKwh4WF4aGHHkJCQgIUCgXmzZuHOXPmdHnOk08+2TGfm5uL3Nxcd+okhJCAk5eXh7y8\nPI8v16XL9p4+fRoLFizA9u3bERoaisWLF2PRokW49dZb+UL95bK9R48CLS3AlVf6uhJCCOmVTy/b\nu3//fkyZMgXh4eEQi8W48cYbsWvXLreL8bg1a4DcXODDD31dCSGE9BuXgn306NHYs2cPjEYjGGPY\nsmULUlNTPV2b+6xW4NZbgb/8BVi1CvCHbxGEEOJlLgX72LFjsWzZMmRmZiIjIwMAcNddd3m0MI+w\nWICMDGDXLuDTT4Hf/paHPSGEBLDA/td4v/sdMHo0v9XpgCVLAL0e+PxzICrK19UNTqdPA8nJvq6C\nEL9E/xqvLywWoP2fyoaEAN9+C0yfDmRmAvv3+7a2wUirBUaM4N+cTCZfV0NIwPLfYK+sBB54gIeB\nq6xWQCq9cF8oBP72N+CVV4Crrwb+9S/qd+9PJhOgVgMNDXyk0pkzvq6IkIDkv8F+4gTw738D48YB\n27e7tozOLfbObrwR2LEDePttPt/Y6F6tpG+sVkCpBD77DFi+HJg0CfjqK19XRUjA8d9gt1qBadOA\nN94AFi8G/vpXwGZzfhmdW+ydXXEFsHs37+8dNw7YutX9mknPLBb+9xAIgPvu411jDz8MLFvm3jcz\nQkgX/hvs7SEwfz5w8CCQn89beIcOObeM7lrs7WQy4MUXgf/8B/jVr4B77uEHWYl3WK1d/x45OcDh\nw0BwMB+99MMPvquNkADiv8HeOQSGDAG++w64917gqquARx8FjMa+LeNyLfbO5s0Djh3jzx8zBtiw\nwb3aSfcuDnaAd8383/8B77wD/PrXfGpo8E19hAQI/w329hZ7O4EAuOMO4MgRPmRu7Fge9r0to6cW\ne2dqNe9zX72adxPcfDNw9qzr9ZNLXfw37WzuXH4JiJAQIC2Nf4tyOPq3PkIChP8Ge3etOwCIieEH\n315+Gbj/fuCaa4Djxy+/jL602DubPRsoLOThMmEC8MQTgMHgfP3kUpf7m7YLCeF/182bgXffBaZM\n4SeXEUKcMvCCvd211/IW3pw5fGz6/fcD9fVdn+NMi72zoCAe6IcOAcXF/CSn998H7HbnlxVIXngB\n+Phj19dDTy32zsaN46OWfvtb4JZb+Milkydde89A1tICFBT4ugrih/w32PsSAlIp8Ic/AEVFPGxG\njwb+/OcLwxddabF3Fh/Pg2zNGt4HnJbG5wdrF8GHH/Id3tixwNdfO38OQG87686EQj4k8uRJfpD1\nyiuB3/wGOHfO+boD1bp1wMSJ/BjRnj2+rob4Ee8Fe2ure693JgQiI/mwyIMHeaiPGsWHR2q1rrXY\nL3bllcC2bcDrr/OTm8aO5d1Bzg6/HOisVuCbb4DnnuMnemVl8XHofW3Bu7KjVSiARx7hAR8aylvz\nK1cCJSXO1x9ozGY+VPSmm/gxoWuuAfbu9XVVxA94L9iHDOFdJGvXuvbVva9f2ztLSADeeotfLqCq\nirfuQkOdf+/uCAT8AN/u3cCzzwKvvQaMHMlv9XrPvIe/a/+bXHstX8ePPQY8/zyQkgK8+WbvI5Vc\n7RoDgPBwvkMpLgZiY4HJk4GlS4F9+1xbXiCwWPioorvu4utl/nzgl7/k5398/TV1HQ5i3gt2g4EP\nT1y1iregX3vNuTHizrTYL5aYyEdV6HR83pMEAh5sO3YAn3zCz4odPhz4058C/xT5zn8ToRC44Qa+\no3v3XT5Cafhwfonky40mcrdrDOAB/9RTfGTUhAn85LXJk3mXmcXi3rIHms5/D5mMn4dRUsJHdT33\n3IXPHZ38Neh4L9ilUt562LOH983u2MFb1LffDvz8c+/9s6602C8mk7n3+t5MmsSvFJmfz78W5+Tw\nVv3nnwdmyHQXzAIBMHUq76LZto3vTCdO5Du/b77p2l3lTov9YiEhwP/8Dw/4Rx7hx0CGDePHWAbL\ngdbu1qdYzHd2e/YAH30E7NzJd7jLl/NGCF0baVDwXrC3b3ACAR+29tlnwKlTQHo6Pwh2xRW8S6On\n1p2nQsDbkpL4ML3ycj7W/p//5Ade77+ft2gD5cPUWzCPHg28+irvAvvlL3k3TUIC8NBDfPSGJ1rs\nFxOJgIULgR9/BLZs4TXOmMFb8W++CTQ3e/b9/Elv63PyZP5/CIqL+Zm9d93Fu82eeYbvEEnA8m6L\n/WJRUfxDfuwY8MEHQGkpv4TupEnAP/7RdcSDJ1t3/UUu5/2+P/3Ev6GEhwMrVvDgf/RRfvr8QA75\nvgZzUBA/qLdzJ78GT1AQsGgR8Pvfe/dvmpbGLxFRUQE8/jh/7+HDgQULgPfeC7yLvfW18RMZyT93\nRUW8i7Kigod+djb/3FVUeL9W0q+89482oqKA2tren2y1Anl5vEX/9df8et0LFvARLlOm8OGMAxlj\n/GzZTz63i5dgAAAfG0lEQVThvyNj/CDX/Pn8/7F6u7vIk+Ry3gJWKJx/LWO8e0Ct5q3G/tLSAqxf\nz0fvbNnCR/LceCMfQTJ8eP/V4Q2PPcZ3mo895vxrbTbeAFmzhg9wSEri2+S11/JjF0L/HQkdyDz1\njza8F+xxcbxrwhlWK++n/fZbfr2W//1f/pU+UDDGW03ffsuno0eBWbN4v/ysWbx7SiDwdZWXJxLx\nYwlisa8rcY3BwM9q/fprfqvR8GsPzZvHd7Iqla8rdM7DDwMREfzWHVYrP8N3/Xo+abV8xzdnDjBz\nJj/bm/QL/w/2xMTAHyXirvp6YNMm3mWwdSvvfpo1i09Tp/LhlP7ScrLb+dd+u92/dz595XDwrrHN\nm4Hvv+fDJseO5UMFp07l3xY1Gl9X2bMHHuAHjB980LPLLSkBNm7k2+S2bTzYZ87k07RpFPRe5P/B\nfsUV/J9lkL5hjB9z2LqVf0XetYt3I2Rn89E2kybx+fBw39RnMvFzAsxm37y/t+n1vKto505+fGTv\nXn7gd+pU3n0zYQLvw/f0wV933HsvkJrKb73FbueX1vjpJz7t3s2/2eTkXJgmTuRdQsRt/h/sY8bw\ni2kR19XW8oDZs4ff7tvHgz0jo+s0YgTvJvEmnY6fGOTuGcUDhc3GW/Q7d/KTsQoK+DfQ1FQe8hMm\n8Es8p6T4bmd75518p3PXXf33nozxUTZ79/Jhvnv38i7F5GS+LaanX9guY2MD49tdP/L/YJ8wAThw\nwNOLHtzsdh4uR45cmA4f5juA0aP5CSmdp5Ej+cFKT2hs5MtravLM8gaitja+vgsK+FRUxCe5nAd8\naiqfRo/mQRcf793jEbffzo8N3H67996jL0wmvh6OHOGNufZt02LhO7/O2+OoUXzduHIAfhDw/2DP\nyaELE/UXnY5/sIqL+XTq1IVbhYK36IcN410LCQld50ND+9aqqqnh12mpqfH+7zOQMMYvX1FUxC8f\nXVTEuyDPnOHrKi6OjzhJTOS3SUn8sdhYYOhQ97p2li7lo1huvdVzv48n1dbyoc0Xb5elpXzo88Xb\nZfsUHz9ou3Z8HuxarRYrV67EsWPHIBAI8O6772LSpEkXips2jZ9hSnyHMR4up0/zE8HOneNT+/zZ\nszzUY2P5AbHOU3R01/ttbfzEH2dHOg1mZjNfz2fO8Km0lN9WVACVlTz41OoLIR8by6chQ/hol8hI\nfhsRAYSFXdrdtngxv/jX4sW++f1cZbPx9XL69IVt8tw5vm2136pUfAfYvi12njo/Fh7uPwMMPMDn\nwb58+XLMmDEDK1asgM1mg8FgQOj5C24JBAKwWbP42YDEfzHGh7ZVVfEdQE0ND5v2+fb71dW8CyY1\nlX/FJp5ht/ORUZWV/G/Qfltdzf89YEMD/3lDA/87qdVdA//AAX4tmIULff2beBZj/PcuL+fbX/vU\nvj12vt/Swr91ajR856fRXJguvh8ayncYwcH8tn3ej06E9Gmwt7S0YPz48ThzmeGMAoEAbN48PpSP\nBAaH48KQR9L/bDa+c+0c9i0t/GQrTx1HGYhsNr7Ta2riJ881N19+Xqfjo59aW7veikQXwr7zbVAQ\nP34il/MuTWfmpVL+WWm/7Wm+U1eoT4P90KFDuPvuu5GamorDhw9j4sSJePXVVxF0vl9MIBDgiVGj\ngCVLAAC5ubnIzc11u1hCCPEoxniX2cVh39rKL0NtNPKDwyZT3+eNRn7SV/tksVx2Ps9mQ55QyLuT\nRCI8ZTb7Ltj379+PyZMnY9euXcjKysIDDzyAkJAQPP3003yhAgHYyy/zEygIIYR0j7EuOwGBRuOR\nYHfpqENcXBzi4uKQlZUFAFi0aBEKLv7fixTqhBDSM4GAd8solR7tUnMp2GNiYhAfH49Tp04BALZs\n2YK0tDSPFUUIIcR1Lo+KOXz4MFauXAmLxYLk5GSsXr2666iYgXx5WkII8QGfD3fscaEU7IQQ4jRP\nZWfgjOwnhBACgIKdEEICDgU7IYQEGAp2QggJMBTshBASYCjYCSEkwFCwE0JIgKFgJ4SQAEPBTggh\nAYaCnRBCAgwFOyGEBBgKdkIICTAU7IQQEmAo2AkhJMBQsBNCSIChYCeEkABDwU4GnfWn1uPjwo99\nXQYhXkPBTgaddSfX4fa1t2P52uXQW/S+LocQj6NgJ4OO1WHFS1e9BKFAiMx/Z+JwzWFfl0SIR1Gw\nk0HHardCLVdj9fWr8fj0xzHnwzl4YecLsDvsvi6NEI+gYCeDjsVugVQkBQDclnEb9q7ci+9KvsOV\n716JovoiH1dHiPso2MmgY3VYIRFJOu4naZKwZdkW3D7udkxfPR3PbH8GZpvZhxUS4h4KdjLodG6x\ntxMKhPhN5m+w/6792FW+CxlvZmBzyWYfVUiIe1wOdrvdjvHjx2PBggWerIcQr7ParZAIJd3+bLh6\nONYvXY+XrnoJ9268Fzd8egPONJ/p5woJcY/Lwf7qq68iNTUVAoHAk/UQ4nXdtdgvNn/UfBy95ygy\nh2Qi6+0s3LvxXtToa/qpQkLc41KwV1RUYOPGjVi5ciUYY56uiZDLKtOW4dkdz6KhrcHlZVzcx345\ncrEcj01/DCfuPQGZSIa0f6bhzz/+Gc3GZpffm5D+IHblRQ8++CBeeOEF6HS6yz7nySef7JjPzc1F\nbm6uK28VEA5UHUBGdEafwoT0LL8yHy/uehHP73wed4y/Aw9NfghDg4c6tQyL3XLZrpjuRCoj8Y95\n/8CDkx7EU9uewojXR+DX43+NByY94PR7k8D2j93/QNbQLExNmNqn3oy8vDzk5eV5vhDmpG+//Zbd\nc889jDHGfvrpJzZ//vxLnuPCYgOWyWpieBIs9qVYtmr7KtbY1ujrkga0Dw9/yJZ+uZSVt5Sz+7+7\nn2me1bC7vr2LFdYW9nkZY/81lhVUFbhcw1nt2Y73vnPdnexE/QmXl0UCS+iqUDbs5WEs699ZbE3h\nGma1W516vaey0+mumF27dmHdunVITEzEkiVLsHXrVixbtszze5wAYbFboJQosX7pehxvOI7k15Jx\nz4Z7cKzumK9LG5DaD3zGhcThlV+8ghO/O4HY4Fhc9eFVmPn+THxZ9CVsDluPy7DYLW59e0oITcAr\nv3gFp35/CkOCh2DGezMw54M5+Or4V72+NwlsFrsFR357BH+e9me8se8NjHhtBJ7f+TzqDHX9W4g7\ne4W8vDxqsfeisa2RaZ7VdNyv0lWxv2z9Cxv60lCW/XY2e2v/W6zF1OLDCgeWt/a/xe5cd+clj5tt\nZvZJ4SfsyneuZHH/iGOP/fgYO9lwsttljHhtxGV/5gqT1cQ+PvIxm/ruVBb7Uix74qcn2Omm0x5b\nPhk4xE+Lmdlm7ri/t2Ivu2PtHUz9rJot+mwR21yymdkd9su+3lPZ6fY4dhoV07OLW4dDgofg6ZlP\n4+wDZ/HX6X/FppJNSHg5AbevvR2bSzbDarf6sFr/d7nWtlQkxS1jbsGOFTuwfsl6tFnbMH31dEx5\nZwre3P9mlwOezvax90YmlmFJ+hJsv2M7Nt66EY3GRkz6zyRc+e6VeHP/m2gyNnnsvYj/YozB5rB1\n2bayY7Px7vXvouz+MswaPguPbHkESa8m4U9b/oRDNYe8NvhEwLywZIFAQKNlzitvKceUd6eg/MHy\nyz6nzlCH/x75Lz4r+gzFjcW4IeUG3Jx6M2YmzoRY6NLx7YD18u6XcU53Di/Pe7nX51rtVmw+vRnv\nH34fm0s2Y9qwaViUsggPb3kYh+4+hNiQWK/V2f7eHx75EJtKNmH6sOlYeMVCXHfFdYhURnrtfYnv\nWOwWKJ9RwvqXyzfOGGM4UnsEa46twZqjayAXy3FL2i1YnLYYKREpEAqFHslOCnYvO910GnM/nIsz\n9/ftJJez2rP4ougLfFb0GUqaSnBV8lW4duS1mJc8jwIBwHM7nkOjsRHPz33eqdfpzDpsOLUBXxz/\nAj+f/Rmn7zuNEFmIl6rsqsXUgg3FG7D2xFp8f/p7ZERnYOHohZg/aj5Gho2kb70BwmAxIPKFSLQ9\n1tan5zPGkF+Zj0+OfoKvjn8FmViGkvtKKNgHghMNJ7BwzUKc+N0Jp19bqavEdyXfYUPxBmwt3YrU\nyFTMS56HmcNnIicuB3Kx3AsV+7e///x3mGwm/H3W331diktMNhO2lm7F1ye+xsbijRALxZibNBdz\nkuZgduJs2nkPYM3GZiS+mgjtn7ROv5YxhkM1hzBh6ASPZCd9z/cyd0ZgxIbEYuWElVg5YSXMNjN2\nnNuBzac34+EtD+NY3TFkxWZhxrAZmDFsBrJis6CSqjxcvf/xdP94f5OL5bhm5DW4ZuQ1YIzhRMMJ\n/HDmB3xc+DHuXn83EtWJmJowFVPip2BK/BQMCx1GLfoBoq8nvnVHIBBg/JDxHquFgt3LerouiTNk\nYhlmJ83G7KTZAHjXws5zO5F3Ng+P/vgoCusKkaRJQnZsNrKHZiM7NhtjosYE3ElRVocVcmlgfFMR\nCARIiUxBSmQK7su5D1a7Ffur+EXIvij6An/Y/AeIhCJMiZ+CnNgcjI8Zj3Ex4xAeFO7r0kk3/KnR\nQcHuZVaHtdfrkrgiRBaCq0dejatHXg3g/PjZ2iPIr8zHnso9eC3/NZRpyzA6YjTGRI1BelQ6n6LT\nMUQ1ZMC2AvtynZeBSiKSYHL8ZEyOn4yH8BAYYyjVlmJX+S7kV+Zj3cl1OFRzCGq5GuOHjMf4mPEY\nGz0WqZGpSNIkBdxOfKCx2r3zWXcFBbuXuXsyTF9JRVJkDs1E5tDMjsdaza04Vn8MhbWFOFp/FBuL\nN6KwrhAO5kBKRApGhI3AyLCR/Dac3/bXAUVXeeob0EAgEAiQpElCkiYJt2XcBgBwMAdKm0txsOYg\nDtYcxDsH38GJhhOo0FUgUZOI0RGj+RQ+GiPDRyJRnYgYVcyA3ZEPJO50xXgaBbuX+XIvHiwLxqS4\nSZgUN6njMcYYag21ONlwEiVNJShuKsbnRZ+juKkYJU0lUElVSFQnIj40HvEh8UgITUB8SDziQ/l8\nlDIKQoHvLuMfyC32vhAKhEgOS0ZyWDIWpS7qeNxkM6GkqQQnGk509Nv/377/Q5m2DK2WVgwLHYbh\n6uFI1CRieCi/jQuJwxDVEAwJHjIoD8R7mj9tmxTsXuZP/W4AbwXGqGIQo4rBjOEzuvyMMYZqfTXK\ntGU413IO5S3lONN8BnlleSjXlaO8pRwt5hbEqGIQrYxGtCoa0cpoRCmjOu63z0cqI6GWqz2+oftT\nq8ifyMVyjIkagzFRYy75mcFiwNmWsyhtLkWZtgxlLWXYV7UPla2VqGqtQo2+BkqJEkOCh2CIagiG\nBg/tmI8IikC4IhzhQeEd8yGyEPoG0A1/+jZJwe5l3upj9waBQIChwUMxNHgopsRP6fY5RqsRNfoa\n1BpqUauvRZ2hDrWGWpQ0l2BXxS7U6mtRa6hFQ1sDtCYtpCIpNHINNApN97dyDYJlwVBJVd1OwdJg\nBEmCOoLEn/oxBwqlVInUyFSkRqZ2+3PGGJqMTahqrUK1vhrVrdWoaq3CmeYzyK/MR6OxEY1tjR23\nRpsRYYqwjsAPU4QhVBaKEFnIJdPFjwfLgqGUKKGQKHz6zc8b+qvbtS8o2L3Mn/7YnqCQKJCoSUSi\nJrHX5zLGoLfo0WxqRrOxGVqTtmO+2cSnU02n0Gpuhd6i7zK1Wi48ZrKZECQJgkqqQo2+BtdfcX0/\n/KaDh0AgQHgQD+n06PRen2+2mdFkbOoS+K3mVujMOujMOjSbmnG25WzH/c5Ti6kFbdY2mGwmyMQy\nKMQKBEmCECQJgkLSab7T4+0/k4qkfBJKO+ZlYtmFx3uYZCIZJCIJxEIxRAIRvxWKusx3/plQIHT6\nW4k/NeK8FuyP/viotxY9oBTVF0EhVvi6DJ8QCAQIlgUjWBaMhNAEl5djd9jRZm1Dq6UVBouhTzsV\n4j0ysYx31QQPcXkZjDGYbCa0WdvQZm2D0Wa8MG81dvu41W6FxW6BwWpAs6kZFrul18lsN3e5b3fY\nYXPYYGfnbzvd7zzvYA4IBcJLdgQ97RiMViNGho/04Jp2ndeCPUTq36Mr+suk2EmYNmyar8sY0ERC\nUccOggQGgUAAhUQBhUSBcPjfuHzGWJfw725H0Pm+gzlgZ3ZEK6N9XToAuqQAIYT4DU9lZ2AdvSCE\nEELBTgghgYaCnRBCAgwFOyGEBBgKdkIICTAU7IQQEmAo2AkhJMBQsBNCSIChYCeEkABDwU4IIQHG\npWAvLy/HzJkzkZaWhjFjxuC1117zdF2EEEJc5NK1YmpqalBTU4Nx48ZBr9dj4sSJWLt2LVJSUvhC\n6VoxhBDiNJ9eKyYmJgbjxo0DAKhUKqSkpKCqqsrtYgghhLjP7cv2lpWV4eDBg8jJyeny+JNPPtkx\nn5ubi9zcXHffihBCAkpeXh7y8vI8vly3Ltur1+uRm5uLxx9/HAsXLrywUOqKIYQQp/n8sr1WqxU3\n3XQTbrvtti6hTgghxLdcarEzxrB8+XKEh4fj5ZdfvnSh1GInhBCneSo7XQr2HTt2YPr06cjIyOj4\nh6+rVq3CL37xC48WRwghg4lPg73XhVKwE0KI03zex04IIcQ/UbATQkiAoWAnhJAAQ8FOCCEBhoKd\nEDLg6XRAaamvq/AfFOyEkAHvk0+AUaOARx4BDAZfV+N7FOyEkAHPZAJuugmoqgJSU4G1a4HBPOKa\ngp0QMuBZrUBsLPDhh8D77wN//jMwdy5QUODrynyDgp0QMuBZLIBEwudzc4HDh4FFi4D584Fbbx18\n/e8U7ISQAc9qBaTSC/clEuA3vwFOneJ975mZwD33AGfP+q7G/kTB3ovvvwcOHPB1FYT4r//+l7eQ\nfalzi70zlQp44gng+HEgNBSYMAFYsQIoLu7/GvsTBXsvnnwSmDkTmDGDH5Cx231dESH+5eGHgdmz\n+bRhA+Bw9H8NF7fYLxYVBaxaBZSUAMOHA1OmADfeCPz0U2AeZKVg74XFAmzeDPz2t3zDuOIK4OWX\ngYYGX1dGiH+wWnmLfcUK4K9/5aNSXn8daGrq3xq6a7FfTKPhNZaW8oOr994LZGQAb70VWMMkKdh7\nYbUCQUHALbcAe/YAH3zAj7SPGAEsXgxs2kSteDK4WSyAUskPUu7fD/z73/yzkpQELF0K/Pij91vx\nFkvPLfaLqVS8sXbsGPDKK8B33wFxccDKlcCOHQO/FU/B3ovOfXcCAf8K9+GHQFkZMGsW8Je/AImJ\n/MSIAwcG/gZBiLM6t5YFAmD6dN7vfuYMMHky8OCDPOQfeYQ3irzxGelri/1iAgHvQlq7lof8qFHA\n3XcDI0cCf/sb77oZiCjYe3G5DUat5nv8ffuA9esBsZi36keMAB591HsbMCH+5nKt5bAw4Pe/5900\na9cCQiE/ieiKK4DHHwcOHfLcZ8TZFnt3hg7lxwuOHgXWrAFqa4Fp03hXzVNPAYWFA+czTf9ooxfD\nhgE//8xve8MY31g/+wz44gugrQ24+mrg2muBOXOA4GDv10tIf2KMB7bDwVu/fXn+vn3Ap58C33zD\nzxi95ho+3nz2bN6l44pbb+Wftdtuc+31l2O3A7t3A199BXz5Jd95LFgAzJvHv5koFJ59P/oPSv1k\nyBDexTJ0qPOvLS4GNm7kIwV27ways3n3zYwZfN7dFgYhvtZ+DMpqdf61jPFx5hs28G+9+/YBkybx\nUWi5uUBWVt+7VxYv5tPNNztfhzP1FhTwz/TmzfybyOTJwFVX8QOxY8YAIpF770HB3k8iIoATJ/it\nO/R6IC/vwnTyJJCTw0P+yiuBiRP5OFtCBhKDgQ8l9MSIkpYW/u34p5/4dPo0D87cXP5ZycwEQkK6\nf+3ChcDy5cANN7hfhzP1bt3KQ/7HH4H6en4MbupUPmVnA3K5c8ukYO8nISFAebnnQ1er5Uff8/L4\nCIKDB4GEBL4xZGfz1kpGhvMbBiH9Savl48K1Ws8vu6mJB/3PPwP5+bybc9gwHvLtn5ExYwCZjHd3\n/va3vEvHV2prgZ07+ed6505+MDY1lZ8UNWECb7y113s5FOz9RKEAGhv5101vstn4hpCff2E6dYpv\nyOnpfINIT+dTUpL7X/kI8YS6Or5t1tV5/72sVn5gc+9e/vnYt4+PWklOBmpq+EicefO8X0dfGQx8\nZ1RQwLtzCwp4vVdcwRttqal8SknhI+tEIgr2fiMW8wM8YnH/v7fFwrtsCgv5Bl1YyKfaWh7uI0bw\nYVkjR16Yj4vjB7MI6Q+Vlbz1XFnpm/c3mYCiIn7JgOuu8/8BCkYjcOQI/zy3111UxHeMo0YBhw9T\nsHudw8H3on094t+dvLw85ObmerQug4H3PxYX8xZAcfGF+cZGfqA3Pp537cTHd53i4vgwNFd/H3d4\nY10MVIGyLkpL+cHOsjLXlxEo68Idej1vxGVmeiY7XW6Hbtq0CQ888ADsdjtWrlyJRx55xO1i/E37\n9SfcCUFvbLRKJf8ql5Fx6c+MRqCigh8XKC8Hzp3j/ffr1vH7FRV8GGZkJBAdzQ98RUdfmKKi+KTR\nXJjUas98Y6EP8AWBsi56u0ZLXwTKunCHSsX74D3FpY+r3W7H7373O2zZsgWxsbHIysrCddddh5SU\nFM9V5gcud8U4f6ZQXOieuRyzmX/1q63teltZyfsB6+uB5mY+NTXx/ycZFNQ17NunkBC+UXaegoO7\nf8xm40PGfPFtgXjHQPyMDAYuBXt+fj5GjBiB4cOHAwBuueUWfPPNNwEX7K6epuzvZLILXTN94XDw\ncG8P+86TXs+nxkZ+rev2+91Nzc3AM8/wFp5CwUf8dDdd7mcSSd8nsbjnnwuFvJtNJOp+vq8/H+w7\nqUD9jAx0LvWxf/HFF9i8eTPefvttAMBHH32EvXv34vXXX+cLHexbOyGEuMhnfey9BXcgHDglhJCB\nyqWBcbGxsSgvL++4X15ejri4OI8VRQghxHUuBXtmZiaKi4tRVlYGi8WCTz/9FNddd52nayOEEOIC\nl7pixGIx3njjDcybNw92ux2//vWvA+7AKSGEDFROt9g3bdqE0aNH47777sOKFStQUlKCRx99tMtz\n7rvvPowcORJjx47FwYMHL3ntyJEj8dxzz7lfvY/15ffpbl2Ul5dj5syZSEtLw5gxY/Daa6/1Z9le\n4eq6aGe32zF+/HgsWLCgP8r1KnfWhVarxaJFi5CSkoLU1FTs2bOnv8r2CnfWxapVq5CWlob09HQs\nXboUZrO5v8r2it7WxYkTJzB58mTI5XK89NJLTr32EswJNpuNJScns9LSUmaxWNjYsWNZUVFRl+ds\n2LCBXX311Ywxxvbs2cNycnL6/NqBxJ11UV1dzQ4ePMgYY6y1tZWNGjVq0K6Ldi+99BJbunQpW7Bg\nQb/V7Q3urotly5axd955hzHGmNVqZVqttv+K9zB31kVpaSlLTExkJpOJMcbYzTffzN57773+/QU8\nqC/roq6uju3bt4899thj7MUXX3TqtRdzqsXeefy6RCLpGL/e2bp167B8+XIAQE5ODrRaLWpqavr0\n2oHE1XVRW1uLmJgYjBs3DgCgUqmQkpKCqqqqfv8dPMWddQEAFRUV2LhxI1auXDngR1S5sy5aWlqw\nfft2rFixAgDv8gwdwNdydmddhISEQCKRoK2tDTabDW1tbYiNjfXFr+ERfVkXkZGRyMzMhOSiEwNc\nyU6ngr2yshLxnc5qiYuLQ+VFV/+53HOqqqp6fe1A4uq6qKio6PKcsrIyHDx4EDk5Od4t2Ivc2S4A\n4MEHH8QLL7wAYQBcvcyd7aK0tBSRkZG44447MGHCBNx5551oa2vrt9o9zZ3tIiwsDA899BASEhIw\ndOhQqNVqzJkzp99q97S+rAtPvtapT1JfTzwa6K2uvnB1XXR+nV6vx6JFi/Dqq69CpVJ5tL7+5Oq6\nYIxh/fr1iIqKwvjx4wNiu3Fnu7DZbCgoKMA999yDgoICKJVKPPvss94os1+4kxenT5/GK6+8grKy\nMlRVVUGv1+O///2vp0vsN+6ctOnKa50K9r6MX7/4ORUVFYiLiwu4se+urov2r5NWqxU33XQTbrvt\nNixcuLB/ivYSd9bFrl27sG7dOiQmJmLJkiXYunUrli1b1m+1e5o76yIuLg5xcXHIysoCACxatAgF\nBQX9U7gXuLMu9u/fjylTpiA8PBxisRg33ngjdu3a1W+1e5o7+efSa505AGC1WllSUhIrLS1lZrO5\n14Mhu3fv7jgY0pfXDiTurAuHw8F+9atfsQceeKDf6/YGd9ZFZ3l5eWz+/Pn9UrO3uLsupk2bxk6e\nPMkYY+yJJ55gDz/8cP8V72HurIuDBw+ytLQ01tbWxhwOB1u2bBl74403+v138BRn8u+JJ57ocvDU\nlex0KtgZY2zjxo1s1KhRLDk5mT3zzDOMMcbefPNN9uabb3Y8595772XJycksIyODHThwoMfXDmSu\nrovt27czgUDAxo4dy8aNG8fGjRvHvvvuO5/8Dp7iznbRLi8vb8CPimHMvXVx6NAhlpmZyTIyMtgN\nN9wwoEfFMObeunjuuedYamoqGzNmDFu2bBmzWCz9Xr8n9bYuqqurWVxcHAsJCWFqtZrFx8ez1tbW\ny762J175RxuEEEJ8Z+APQyCEENIFBTshhAQYCnZCCAkwFOyEEBJgKNgJISTAULATQkiA+X9UIiv+\njGDkUQAAAABJRU5ErkJggg==\n" } ], "prompt_number": 26 }, { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "Some useful Brian features you may not know" ] }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "TimedArray" ] }, { "cell_type": "code", "collapsed": false, "input": [ "brianreset()\n", "\n", "N = 5\n", "duration = 100 * ms\n", "Vr = -60 * mV\n", "Vt = -50 * mV\n", "tau = 10 * ms\n", "Rmin = 1 * Mohm\n", "Rmax = 10 * Mohm\n", "freq = 50 * Hz\n", "k = 10 * nA\n", "\n", "eqs = '''\n", "dV/dt = (-(V-Vr)+R*I)/tau : volt\n", "R : ohm\n", "I : amp\n", "'''\n", "\n", "G = NeuronGroup(N, eqs, reset='V=Vr', threshold='V>Vt')\n", "G.R = linspace(Rmin, Rmax, N)\n", "\n", "t = linspace(0 * second, duration, int(duration / defaultclock.dt))\n", "I = clip(k * sin(2 * pi * freq * t), 0, Inf)\n", "G.I = TimedArray(I)\n", "\n", "M = MultiStateMonitor(G, record=True)\n", "\n", "run(duration)\n", "\n", "subplot(211)\n", "M['I'].plot()\n", "ylabel('I (amp)')\n", "subplot(212)\n", "M['V'].plot()\n", "ylabel('V (volt)')" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 6, "text": [ "" ] }, { "output_type": "display_data", "png": 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YjsaXCPtafDj0kZsDhWCGj85MH61bjySEJ9K88sor1NTU4Pf7+7naYi08u7dV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RnbSVVBFcEECN0mJv2MZ38cL6REKK4UBFOg+dSbbGtDOAarVhYwYiQcc7Rf42mX2XtjYzLJlEEh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\nngRarAvh95sL6xF5hLKcMvPP+wuT5YdAudpaY7EU4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twmzzhLrb8BghAC1xgX+V/Mp/Sm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\nRRZZDCn+P4tRFtyZ0JQXAAAAAElFTkSuQmCC\n" } ], "prompt_number": 6 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Linked variables" ] }, { "cell_type": "code", "collapsed": false, "input": [ "brianreset()\n", "\n", "N = 5\n", "f = 50 * Hz\n", "a_min = 1.0\n", "a_max = 100.0\n", "tau_haircell = 50 * ms\n", "tau = 10 * ms\n", "duration = 100 * ms\n", "\n", "eqs_haircells = '''\n", "input = a*sin(2*pi*f*t) : 1\n", "x = clip(input, 0, Inf)**(1.0/3.0) : 1\n", "a : 1\n", "dy/dt = (x-y)/tau_haircell : 1 \n", "'''\n", "\n", "haircells = NeuronGroup(N, eqs_haircells)\n", "haircells.a = linspace(a_min, a_max, N)\n", "M_haircells = MultiStateMonitor(haircells, vars=('input', 'y'), record=True)\n", "\n", "eqs_nervefibres = '''\n", "dV/dt = (I-V)/tau : 1\n", "I : 1\n", "'''\n", "nervefibres = NeuronGroup(N, eqs_nervefibres, reset=0, threshold=1)\n", "nervefibres.I = linked_var(haircells, 'y')\n", "M_nervefibres = MultiStateMonitor(nervefibres, record=True)\n", "\n", "run(duration)\n", "\n", "subplot(221)\n", "M_haircells['input'].plot()\n", "ylabel('haircell.input')\n", "subplot(222)\n", "M_haircells['y'].plot()\n", "ylabel('haircell.y')\n", "subplot(223)\n", "M_nervefibres['I'].plot()\n", "ylabel('nervefibres.I')\n", "subplot(224)\n", "M_nervefibres['V'].plot()\n", "ylabel('nervefibres.V')" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stderr", "text": [ "brian.equations : WARNING Equation variable t also exists in the namespace\n" ] }, { "output_type": "stream", "stream": "stderr", "text": [ "brian.equations : WARNING Equation variable x also exists in the namespace\n" ] }, { "output_type": "stream", "stream": "stderr", "text": [ "brian.equations : WARNING Equation variable I also exists in the namespace\n" ] }, { "output_type": "pyout", "prompt_number": 7, "text": [ "" ] }, { "output_type": "display_data", "png": 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QASEET2Zk8FJYGG4tg4bLy2HaNMlOOnSodEwuh7ffhttuk5b4s7M7rNMzoaG8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\ntkXTrQuTP+3B8luW14sR8bD3YGL4RCaGT0QIwcnck2w/v51vj33LjE0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WOvKN4dzHmfL0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\nV3fuUEzXwwPQapHfTA5FVaSCpCt/D4kxhhy5HLFG4QCOA5QqT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} ], "prompt_number": 7 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Remote control" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Allows us to control a running Brian script.\n", "\n", "Run the script with a ``RemoteControlServer`` object, like this:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "brianreset()\n", "\n", "eqs = '''\n", "dV/dt = (I-V)/(10*ms)+0.1*xi*(2/(10*ms))**.5 : 1\n", "I : 1\n", "'''\n", "\n", "G = NeuronGroup(3, eqs, reset=0, threshold=1)\n", "M = RecentStateMonitor(G, 'V', duration=50*ms)\n", "\n", "server = RemoteControlServer()\n", "\n", "run(1e10*second)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stderr", "text": [ "brian.equations : WARNING Equation variable I also exists in the namespace\n" ] } ], "prompt_number": 8 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now you can control it like this (we'll run these commands in a separate IPython console):" ] }, { "cell_type": "code", "collapsed": false, "input": [ "if 0:\n", " from brian import *\n", " client = RemoteControlClient()\n", " clf(); plot(*client.evaluate('(M.times, M.values)'))\n", " client.execute('G.I = 1.1')\n", " clf(); plot(*client.evaluate('(M.times, M.values)'))\n", " client.stop()" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 9 }, { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "Linear, nonlinear and multilinear equations" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "When you create a ``NeuronGroup`` in Brian, it automatically selects what it thinks is the best way to integrate the equations.\n", "\n", "* If the equations are linear, they can be solved exactly.\n", "* If the equations are nonlinear, a numerical method is used.\n", "* By default, the numerical method is forward Euler, but alternative methods can be selected.\n", "\n", "There is a limitation with linear equations though, which will not be present in Brian 2, namely that the equations have to be identical for all neurons. For example, this will be integrated exactly:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "def getsol_exact():\n", " brianreset()\n", " \n", " tau = 10*ms\n", " eqs = '''\n", " dv/dt = -v/tau : 1\n", " '''\n", " G = NeuronGroup(1, eqs)\n", " G.v = 1\n", " M = StateMonitor(G, 'v', record=True)\n", " run(100*ms)\n", " return M[0]" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 10 }, { "cell_type": "markdown", "metadata": {}, "source": [ "But this will not:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "def getsol_numerical():\n", " brianreset()\n", " \n", " eqs = '''\n", " dv/dt = -v/tau : 1\n", " tau : second\n", " '''\n", " G = NeuronGroup(1, eqs)\n", " G.v = 1\n", " G.tau = 10*ms\n", " M = StateMonitor(G, 'v', record=True)\n", " run(100*ms)\n", " return M[0]" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 11 }, { "cell_type": "code", "collapsed": false, "input": [ "exact = getsol_exact()\n", "numerical = getsol_numerical()\n", "figure(figsize=(10,4))\n", "subplot(121)\n", "title('Solutions')\n", "plot(exact)\n", "plot(numerical)\n", "subplot(122)\n", "title('Difference')\n", "plot(exact-numerical)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 12, "text": [ "[]" ] }, { "output_type": "display_data", "png": 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3AwegZUuzU1wZHx8YNUqT4kXswWIYhmH3k1gsXOppTp0upcGspuy98yhhrevb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\nn9if73N/5sejX5D23cuc2LybSu9f8D7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} ], "prompt_number": 12 }, { "cell_type": "markdown", "metadata": {}, "source": [ "The reason is that the second form with tau as a parameter would allow each neuron to be a different linear equation, and so it has to treat it as nonlinear. There is a solution though: ``brian.experimental.multilinearstateupdater.MultiLinearNeuronGroup`` (see the docs)." ] }, { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "Deep Brian voodoo: custom resets and refractoriness" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The system for resets and refractoriness in Brian is slightly limited and this will be corrected in Brian 2. For the moment though, there are some workarounds:\n", "\n", "* ``SimpleCustomRefractoriness``\n", "* ``CustomRefractoriness``\n", "\n", "The way the reset and refractoriness conditions work in Brian is that you can specify an arbitrary reset condition, and during the refractory period this will be called each time step on the neurons that are refractory.\n", "\n", "This would not allow you to, for example, combine an adaptive threshold with a refractory period. Here's how to do that:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "brianreset()\n", "eqs = '''\n", "dv/dt = -v/(10*ms) : 1\n", "dvt/dt = (1-vt)/(100*ms) : 1\n", "'''\n", "def reset(G, spikes):\n", " G.vt[spikes] += 1\n", " G.v[spikes] = 0\n", "inp = PoissonGroup(1, 100*Hz)\n", "refrac = SimpleCustomRefractoriness(reset, 10*ms, 'v')\n", "G = NeuronGroup(1, eqs, threshold='v>vt', reset=refrac)\n", "G.vt = 1\n", "C = Connection(inp, G, 'v', weight=0.5)\n", "M = MultiStateMonitor(G, record=True)\n", "run(500*ms)\n", "figure(figsize=(10, 8))\n", "M.plot()\n", "ylim(-0.1, 3.0)\n", "legend()" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stderr", "text": [ "brian.experimental.new_c_propagate: WARNING Using new C based propagation function.\n" ] }, { "output_type": "pyout", "prompt_number": 23, "text": [ "" ] }, { "output_type": "display_data", "png": 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cV9YnMpdT6kFFEQ2w664Tdf1778kuESWKqwIrO9yghxwCrFwpdkyfNSvK2SQ2\n+PucqFs3ERB//71Yn2z3btklIiKrOvdc4PHHgZNPFksykPO4KrCyi549gbffFssw/OpXwN69xn6P\nQ4HyZGWJbYuGDAHGjRMbbxMR6fnZz0Q+7dVXi90d7NDoJ+NcF1jZZaw+Jwf497+B3r1Ft3FNjewS\nUSReLzB/vuhpHDcO+PBD2SUiIqs69FDggw/EzOJZs5hG4CSuC6zsxOsVidGnnQb8+MfA6tWyS0RG\nXHYZsHCh6G184QXZpSGyP7s0iKNVViZGJ2pqRH2xZ4/sEpEZGFhZnKKIZPY77xRb4CxdKrtEZMQv\nfwm8+irwu9+xq58oHk6/d3JygH/9S2xzNm4c9yN1AlcFVna+QU89FXjlFeDyy0Nv7qna+Q90oNGj\nf+jqP+ssoKVFdomIyIq8XmDBAuDCC0Vw9eabsktE8XBVYGV3hx0m8nb+7/+AadOApibZJaJIysvF\nWlctLcyVI6LQFAW4+GLg6afFelcLFti7M8DNXBdY2X2svkcPoKoKyMwUq39v2SK7RBRJVpbotTr5\nZOCII4D335ddIiKyqmOPFXXEAw+Ijd9bW2WXiKLlusDKCTIygL//XazSfuSRPyw0x+UWrEtbHHDh\nQrHX4KOPyi4RkX3YvUEcrf79RRrBd9+J3NodO2SXiKLBwMqmFEVs4PzII6In5P77ZZeIjPjFL8RK\n7X/5C3DppZxiTRSJW4fDcnLEZKUJE4Af/Qj46CPZJSKjXBVYOfEGPfHEH7qNP/jAgX+gAw0eLHLl\nvv0WOO44YNs22SUiIivyeICbbwbuuUfMNH7wQWc+x5zGVYGVU1VUiG1wCgpkl4SMyssDli0DfvpT\n4PDDOQuIiEI7+WQxCWbBAmDmTGDfPtklonBcF1g5daw+Kwv46U8d+sc5lMcDXH898MQTIl/u1luB\njg7ZpSIiKxo0SDSgVVXk1q5fL7tEFIrrAisnY/K6PR1/PPDJJ8Dy5WL15bo62SUishanNoijlZUl\nGmIXXggcdZTYn5Ssh4EVkQWUlYnhwKFDgTFjgI8/ll0iImtgTlFXiiICq5deEgtGz54N7N8vu1Tk\nz1WBldNvUK68bm+pqWLrorvuErMH//pXDg0Skb4jjgBWrQI2bxZ7ya5bJ7tEpHFVYEVkB5Mni6nV\nixcDJ5wg1rIhIgpUWAgsWQKcd54YGnziCdklIsCFgRXH6skO+vYVu96PHSuGBl9+WXaJiMiKFAW4\n6CJgxQprAaLEAAAgAElEQVTg9tuBM84A9u6VXSp3c11g5WRMXncWrxe48UaxHc6sWcDvfsdcCnIn\nNogjO/RQkZuZkSEaY598IrtE7sXAisjiJkwAPv9c7At55JHAV1/JLhFR8jB11LisLODhh8Wioiee\nCNx0E3DggOxSuQ8DKyIbKCwEXnhBzAaaMEEkuDOxnYj0TJsGfPaZ2D7rqKOY2J5srgqs2PIhO1MU\n4IILxCKBS5cCxxwDfPON7FIRkRWVlwOvvAKceaYIrhYsYGMsWVwVWDkdl1twhwEDgKoqYNIkkdy+\ncCEbDUQUzOMBLr4YeO89MWPw5z8Hqqtll8r5wgZW55xzDkpKSnDIIYfo/ryqqgp5eXkYPXo0Ro8e\njZtvvjkhhTQTkyDJCVJSgCuvBN56SwRWJ54I1NTILhVRYrDejs+gQSK4mjBBJLY//jgbY4kUNrA6\n++yz8corr4Q9wMSJE7Fq1SqsWrUK119/vamFI6Lwhg0DPvhALBA4ejTw6KOsMMlZeD2bw+sVe5O+\n+ipwzz2i92rTJtmlciZvuB8effTR2BThnTc6/HTDDTd0/ndlZSUqKysN/R4Zx+UW3Ck1FfjTn4Bf\n/xo491zg6aeBhx4CKipkl4yIrGb0aLEA8Z13AocfDsydK4YLPS5PDKqqqkJVVZUpxwobWEWiKAre\nf/99jBw5EmVlZbjzzjsxbNgw3df6B1aysOVDTjZypEhsnz9fLMtwzTVi7StvXHc5ETlNaiowZw5w\n8sli1fbnngMeeQQYMkR2yeQJ7PCZN29ezMeKK0YdM2YMtm7ditWrV+PSSy/FSSedFM/hKE5MXiev\nF7jiCtEi/c9/RHL7qlWyS0VEVjRkiNjh4bTTgPHjgVtuAVpbZZfK/uIKrHJycuDz+QAAJ5xwAtra\n2lBXV2dKwRKFSZDkBv37i8DqsstELsU11wCNjbJLRURW4/EAl1wCfPop8P77wKhRYtYxxS6uwKq2\ntrazl+Sjjz6CqqooLCw0pWBEFB9FAWbOBP77X2DbNpHovngxh8TJXlSVDeJk6NMHeOkl0Wt15pli\nz8HaWtmlsqewgdX06dMxbtw4fP311+jVqxcee+wxPPTQQ3jooYcAAC+88AIOOeQQjBo1CrNnz8az\nzz6blEITkXElJcCTT4qvuXOBE04A1q+XXSoishpFEXlX//sf0KMHMGIEcP/9QHu77JLZi6ImITFH\nURRL5P+MGgUsWiRmRTjRBf++AA9/9jDUufLfa7Kmtjbg3nuB228X2+PMmQMcHM0nsqRx48QMtnHj\nZJfEfb78ErjoIqC5GXjgATGL0C3iiVtcPsHSWbjcAkWSmgpcdZXY1HndOmD4cODFFzk8SNa1peKP\nqG/9XnYxXGnECLEI8SWXAL/6FXDOOcB338kulfW5LrDiWD2R2EfsueeAhx8GrrsOOP54YPVq2aUi\nClYz4GZ8sHO57GK4lparuXYtUFQkgq3bbwdaWmSXzLpcF1gR0Q+0gGrKFOCnPwXOP58tUrIeNojl\ny8sD/vIXsdPDBx+I3u4lS9jbrYeBlYNYIY+N7MfrFXkUX38tKs8RI4DbbmOLlIiCDRwI/OtfYneH\nP/0JOPZY9nYHclVgxbiDKLT8fJEkvHIl8PHHYvHAZ58FOjpkl4zcTgG7rKzm+ONFruapp4re7pkz\ngc2bZZfKGlwVWDkdk9fJDBUVoov/738H/vpX4Ec/EouNsmFCRP68XjG7eP16sQ7WmDHAlVcCu3bJ\nLplcrgusOFZPZExlpdgaZ84c4NJLgeOOAz78UHapyI3YY2VtubnAjTeK5Rmam4HBg0U6wb59sksm\nh+sCKyIyTlGAqVOBNWuAGTNEkvvkycBXX8kuGbkK4ypb6NFDLCj6/vtij9KBA4GFC8X6eW7CwIqI\nIvJ6gfPOE13+P/4xMHGiWNPmm29kl4yIrGbQIOCf/wSWLhXLugwZIlILDhyQXbLkcFVgxRwRovhk\nZgJXXy0WFy0rE/lX557LAIuIgh1xBLBiBfDYY8DjjwNDhwJPPOH8AMtVgZXTcbkFSpb8fOCmm0QP\nVlmZqEDPOQfYuFF2yYjIaiZOBN58UwwLPvKI2BD+qaecuweh6wIrJq8TmaewUCStrl8P9OoFjB0L\nnH02sGGD7JKRkzB53RmOOUZskfPAA8CDD4pFRp980nk5WK4LrJyMyy2QLAUFwLx5P0y7PvJI4Iwz\ngC++kF0ycgI2iJ1DUcQM43feAf72NzFMOGgQsGCBmFHoBAysiMg0BQXADTeIHqvhw8XCgb/4BfD2\n28xxJKIfKArwk5+IIcJnnhFr5fXrJ5Zp2L1bduni46rAihU7UXLk5wPXXgt8+y0waZLIvxo3Dnjx\nRa7kTrFgl5WTHXmk2Cbn9dfFUi79+4v6w677lroqsCKi5MrIAGbNEvsQXnEFcPPNoidr0SJg/37Z\npSMiKxkxQswa/PRToLFRJLmfd55YeNROXBdYcayeKPlSUoBTThF7EN53n9iDsE8fMWxo11YpESVG\n376invj6a/HfP/2pGDZcvtwePd6uC6ycjMstkNVpiauvvgq88YYIqoYOBc48U7RSifSwQexOxcXA\n9deLlIIzzgCuu070Yj3wANDUJLt0oTGwIiIphg0TU643bhRDACefDIwfDzz/vPMXECQi49LTRePr\ns8+Ahx4SDbO+fUUe1qZNsksXzFWBldM7dLjcAtlRYSHw+9+L1dtnzwbmzxfJqzffDGzfLrt0ZAVc\nx4oA0XM5caKYBPPBByJP8/DDxczjl16yzoKjrgqsiMi6vF6x4fM774gZQtXVoldryhQxFdsOuRVE\nlBwVFcDddwNbtoh648YbgQEDgFtvBWpr5ZbNdYEVx+qJrG/0aDFMuGWLSFy99lpg4EDgjjuAHTtk\nl46IrMLnE7s9fPQRsHix6PkeMgQ47TSgqkrOSJXrAisnY/I6OU1Ojliu4dNPxSKC69YBgwcD06aJ\nXiyrdP0TkXyHHSb2Ivz2W+Coo4BLLhENsltuAbZuTV45GFgRkeUpitjo+dFHRaU5YYKYIdS3L/CH\nP4hp2URkXc+veR5fff9VUs6Vnw9ceqnYUuvpp0VawciRwM9/Djz3HNDSktjzuyqwYocOkf3l5wMX\nXyzWxHr5ZaC1VSS0jhsHLFxo/+0wKJjCHA7bW7p2Kd7Z8k5Sz6k1yB54AKipETMLH34YKC8XvVmf\nfZaYuMBVgRUROcuIEcCdd4pu/j/8QQwP9ukDzJgBvPIK0NYmu4REpGloaZB27sxMUS+8/jrwySdi\njazJk4FDDhH7E27ebN65XBVYtWVsY/I6kQOlpgK//CXwwgtiXaxx48Sq7mVlwEUXiZmGnFVIJI8K\nFfUt9bKLAUCkEMydKxLdH3hABFWHHQYcfbRYJ6uuLr7juyqwWj+pDJ/v+kB2MRKG61gRAUVFopt/\n5UrxVV4ugqs+fYCrrhKJ8EwLsBcPW8SOILPHSo/HI4KpBx8Etm0T9cOKFUC/fnEe15zi2UdT2x7Z\nRSCiJOnfXwwRfvGFyMdKTwdOPVVMx547F1izhkEWUTKoqmq5wMpfWhrw618D//xn/DMIXRdYOVlT\nq4U3TyIKY/Yrs/HljsRuYT9ihJh2vWED8OSTwJ49wAkniCBrzhyRDM8giyhx6putMRQYSW5ufL/v\nusDKybNLlq5dKrsIRDH5b+1/8fXO5KyZoM0UuvtukVvxj3+I7//mN2K4cPZs4O23uUYWkdni7bFS\nVRXXvn6tSaVJHNcFVkRkTTISWxVF7DV2221iLayXXxY5WpdfDvTsCVxwgdiDbN++pBeNyFHMSF5v\nV9txx3t3oLmt2aRSJQYDKwfJScuRXQSimKhQpQ8TKAowfDjwxz8Cq1YB778PDBoklnMoLRWzDh98\nMLkrOJPg5JEGNzErx8oqswtDYWDlIKNKR8kuAlHMGvZbK7F1wAAxS6iqSgwZnnEG8N57Yh/DkSPF\nyu8ffMAhQyIjtOT1eLZe035XdiMsEgZWRCSdqsrvsQqnoEDsT/jkk0BtrVj7RlXFPoalpcDppwOP\nPy6mbJP5FLDHygla21vRfCD+YTz2WFmMk7uUuY4VmeWJ1U/g+TXPJ/WcVq8sNSkpYgHSW28F/vtf\nsYrzxIkiF+uQQ8TswyuuEPlaTZyoS9RFPMOB2jPOyo0wwI2BlewCENnAVzu/wqfbP03qOa1eWYbS\npw9w/vnA888DO3YAjz0mEuBvv130Zh17rPjvTz/lsCG5lxYUmZFnZfVGmFd2Acg88YxdEwWqa45z\nX4coWGm7i3ikpIilHI44QuRg7d0LvPUW8NprYriwthYYPx6orBRfI0eK36HwHDzQ4DpmNKCs3ghz\nXWDl5KFAIrOoavIDHatXlrHIyRGzCX/5S/Hv774TgdZbbwGPPAJs3/5DoDVxIjBqFOB1Xa1MbqA1\n/OMaCtSS1y3eCOMtTES6ktpjJSGQk6G0VCTBT5sm/l1bKxYjraoCFi0CqqtFoDV+vMjjOvxwwOeT\nWmSLYIPYCdJS0ky5z61eV7gux8rJmLxOZlGhJjWwAkSPlV2Hs7fs3oLfLPlN1L9XUgKccgqwYAHw\n5ZfAunXAWWeJXK3f/x4oLhbDirNniz3MamrMLztRMqhQUZBR4IrkdfZYEZGuZFde7Wo7GlsbkZNu\nv4Vud+7bife2vBf3cbp3B6ZOFV8A0NwsZh2+/77Yeufii0UP1rhx4uvII4FDDxWbSxNZXX5GPpPX\nnYg5VkSRqWpye6w6W6It9bYMrIDEDJ1mZgJHHy2+ALF21oYNItB6/33g4YfFv4cPB370I/F1+OHA\nsGHOSor3sN52hILMAnOGAtljRUR2tLd1L9ra25Cakpq0c9Y316N3Xu+knc8sqqqGfL927dsFX6oP\nmamZcZ9HUYCBA8XXzJnie01NwOefAx9/DLz+utj3cPt2kQh/+OE/BFwVFZxdR/KoqglDgUxeJyK7\na2hpQHFWccLPo6oqPIrH8hVmJPUt9eie1b3L965/83qMKR2D8w87PyHnzMoCjjpKfGkaGsS6WR9/\nDCxeDFx7LbBnj1jeYeRIEXSNGiV6tjIyElIsoiAFmfEFVhr2WFmMk7dGsGviL1mP/9BcMgIrQORf\nWL3CDEV7v+qa64ICq7b2Nuxo2pHU8uTnA8cdJ740338PrF4terfeeAO4+24xjFhR8UOgpQVd3bol\ntbjkAipU5Gfk46vvv4rrGAoUyzfAXBdYEZFxycyzKswstHyFGYne+6VCxa7mXRJK01VxMXD88eJL\n09IC/O9/Itj6/HNg2TIRfGVni615hg//4WvYMLEuF1Gs4h0KBIB0bzo61A60HGhBhtea3a2uC6yY\nY0AUWbJ3kdemYtu2x0r9ocdKT7KXrjAqIwMYM0Z8aVQV2LRJLP+wZg3w5pvAffcBa9eK4Mw/0NL+\nPzs7seXkpCNnKMiIL3ldVUWPlVZX9MjpYWLpzOO6wMrJuI5VZK3trXh3y7s4tt+xsotiC8kMCMya\nMSST3QIrPYoC9Osnvn71qx++394uAq41a8TXihXA/PnA11+LZSKGDgUGDwYGDfrhq7wc8HC1RIII\nigozC+NuPCmK0llXMLAisoCvvv8Kv33pt1h36TrZRbGFZAU6WqVrRmKrTLpDgao1hgLjlZICDBgg\nviZN+uH77e3AN9+IHq1168RQ4vPPi/9uaBA5XIMGBQddhYXGz+3k3Fg3ycvIQ1NbEw50HIDXE3v4\nYfXebdcFVrxByQkPuURToSLTm5ncHqs4hwlk8k9e12OnHqtopaT8sAREoL17gfXrRZC1bh3w6qvA\n3/4m/jstTQRd/fuLYE37/wEDxNY/7OlyFhVi5m9+Rr7uJA+jxwCs37vtusCK3E2FivrmerR3tCPF\n46AVFBMg2cnkBZkF2NSwKWnnS4SQyev73BnM5+QE53ABIo+rthbYuFF8ffONGFpcuFD89549Yiiy\nf38Ah0spOiVIYWYhdu3bFVNgBaBLjpVVuS6wYhIkqVDR0NKAIl+R7KJYljY0l6yeFhUqCjPsOyvQ\nSPK6qqqsfw5SFNErVVradf0tTWMj8O23Iuh6aTVQVpb8MpL5FCgoyiyKedRAu88KMgss3Qvsus5W\nJyd4cx0r4zgcGJkZiabRns/KlaURocrfrrZjz/49SS6NfWVnA4ccApx0kvh3Wprc8lD8tOdTka8o\nrvtcURTLpw24LrAid9NubrcOzUQjqT1Wqopuvm62/lwUKCGT1wFn51klGnNjnUFRDvZYxXmfW70R\n5rrAysk3qJN748zGHqvwVKhScqwaWhrQ3tGetHOaRYUacXjCyg8CokTTnk9FvjiGAg8eo5uvm6Xr\ncNcFVuRu2o1p556RZEl2HoPX40Vueq5tl1wI1YruvOYs/CAgSpZ4cqwAvzwtC9fhrgusPEweJfAh\nF4mqHkwmb65PSu6ef0t0576dCT+f2VRV7IO2Z/+ekD1u7LGKHZP+nSHeoEiri6xeT7gusHIyJq8b\nx8AqsszUTCiKgn1t+5JyPgVKXMMEsqUoKchNz8Xu/bu7fF9VVWSlZlm6hU2UaP7J63H1WCkKAysi\nK2HyenSSlctgl5ZoJKGGA62ebEuUDIqidK5jFQ+rN8AYWJErWfmmtAIVYrPTYl9x0gIds2YMyaBC\n7Xxo6AVQVn8QECVaZ/J6POtYHTxGTloO9h/Yj/0H9ptWPjMxsCJXYfJ6dJLdg+TEHisVKooy41u7\nh8gJtOH+uNaxgtI5HGjVxorrAismQZLX47XsDWkV/kNz3zd9n/jzmdCalUlVRQ9fqGEOs3qs3tvy\nHj6u+Tju49jF0q+WAnD2Mjlu0ZljdbBXOpacYP/fKfIVWbYRFjawOuecc1BSUoJDDjkk5Gsuu+wy\nDBw4ECNHjsSqVatMLyAZx3WsjDFjjN8Nkp0kqsD6SamR6JVfVc3rsXpp/UtYsnZJ3Mexi8n/nCy7\nCGSyzNRMeBRPzJNitM4RK9cVYQOrs88+G6+88krIny9fvhwbNmzA+vXrsXDhQlx44YWmF9Bs7LFy\nt84Vvm3YKyJDN1837GxOXuVl91ykbr5u+H5fcA+fmcnryehBtBrW286gfY5m3OdWzscMuwnz0Ucf\njU2bNoX8+bJlyzBz5kwAwNixY9HQ0IDa2lqUlJQEvfbKK2/o/O8f/7gS48ZVxlRgCo3LLRjjS/VB\nVVXsa9sHX6pPdnEsSUte7+brhi92fJH48x3coNjKrdBwtOT1Yl8xVteuDvq5WQ8BVVV1AzenY91m\nf/4jKtr90Duvd8zHMLuuqKqqQlVVlSnHChtYRVJTU4NevXp1/ru8vBzV1dW6gdUzz9zg99/xnDUO\ns4DsLEnnJkvQAoYin7ixfXkMrMJJdqBj5VaoEcVZxUGBjwoVRb4i7N6/G+0d7UjxpMR1DjsGnrGy\na6BN+rRcuXh6rLRjmD3yUFlZicrKys5/z5s3L+ZjxRVYAcEtiVBdttu2xXum+CnzgPx82aUgK9CS\npHvl9Yr8YhfS7utkLbfghJXXtR4+vaG6FCUFeel5qGuuQ3FWcezngeqqocCiTJGgzKFA+/OPFWLN\nc+2SvJ5ZhM27N5tSNrPFNSuwrKwMW7du7fx3dXU1ysrK4i4UUSIpyg89VhSajOR1bePnDrUjKec0\nW7FPp8fq4DCnXm9WLNw0FNjN1012ESgB4pn9a/vk9UgmTZqEJ554AgCwcuVK5Ofn6w4DWglbPu7W\nZcqvjZOkE82/BymZPSSpKanwpfqwu2V35BdbUHFW6B6+Yl8xdjTtiPscDS0NaGtvi/s4dqAFVlxu\nwRn8g6KYeqzQdbkFq9bhYYcCp0+fjrfeegs7d+5Er169MG/ePLS1iRt61qxZOPHEE7F8+XJUVFQg\nKysLixYtSkqhSR+XWzBGgRL2AUiC/959Wq9LovgfX8udKMgsSNj5zOa/8np9c71uLlVxVnHcQarW\nMNi5byd65PSI61h2oF0D7ar+xtZkH/7Pp2JfMTbWb4zpOP45Vlatw8MGVs8YyDK/7777TCsMUaJp\nN3exL/6HnBukpaSJHqT9u5GfkZwERS2vpqKwIinnM5PX40VeRtdcKv/tgcwaxnNLYJWiiOA01ZMq\nuSRkBi0o6p7VHR9UfxDXsawcWLlu5XUiQNzYO/bFPyzjVP5JosmowAKnUdst/01LXgf086wAcc2Z\nFcy7Jc9Kuy7s1HtJ+vzrlO5Z3WMaFg9MXrdqPcHAykG41osxiqLEfGO7iTY0l6yZgf5Tsa3aEjUi\ncJi5M3ndhB4rLdBgbyvZUWedEsdEDu0Yuem5aDnQgtb2VtPKZxbXBVZMgnQ3LfhkYBVeIhfii6R7\nVndb98iEGmYuzjIneR1wT48VOVPMPVZ+9ZI2u9uKjTDXBVZOxuR1YxSwx8oI/yTRRPeQdBkm8HVH\nbVNtQs9nNi15HQi9rY0pPVaqikxvpiUfJonAXnjnCGys1TXXob0j+kkJ/p0jZs20NRsDK3IV7eZm\nYGVcsnqstMCkJLvE1p9N4Oy/zuR1E2YFdh6fPVZkQ1pQ5PV4OxfMjYdV6wrXBVZOXMdqX9s+tuyi\nVJhZiD379+BAxwHZRbGkoOT1BG/E7N+atWPQG5i8rvd+mTXEaWYSvNWxF945Ap9RsTQQAo/RPas7\nahut17vtusDKiaa9MA1vbX5Lyrmf+u9T2LJ7i5Rzx0pRFHgUDwozC10zpBIL/+T1ZDzItcCkJKvE\nkpWlUYHvl5a8XpRZhLrmurhWlVehmrpsA1Ey+XdsxNqA8j9GSRZ7rChB9rXtw+YGOXsm/eOLf+Dd\nLe9KOXcszJjy6wb+PQUl2SVJzXmyy+fyn43/wcOfPhz0/VA5VqkpqchJy4l7+MOJi9ueu+xcfLLt\nE9nFoCSK5T4P7MHsnmXNfEwGVg6gqipqm2qlDQfarXfBf5E6OzzAZUlmD5L/tavNnrP68PbanWvx\n5qY3AXRNXg+XSxVvnpWqqo5c3HZzw2as3bk26PvaNWD1a4EiCwyKYk08909eL8lKbqPPKAZWDiHr\n4tKCOruwey6PDCXZJfiu8buEn0cLTDK8GfCl+tDQ0pDwc8ZL730JXPdLS17XfhbvMJ625Y9dN6rW\no0K1XQONoucfFJmRc8jkdYtw6jpWyXjwWfHc8bDqVF0r8N+7TwtAE9lrYJcufn/+jYouyethetzM\nSDxPS0lDdlo26pvr4zqO1eh93kxedw69xPOohwKZvE7JorX2ZFRCKuzVYwWgS8DAJODItB6k+pbE\nPsi7dPFbtCUaSK9RkeHNQFZaVuf75R+kxrtUgtb7VZpdarv7LhK7NtDIOCavO5QTl1sA5A0FAvbK\nsWLyujGBQXpJdnJn6tnhs1Ghoq65Dm3tbUHvV2l2achhQjP+rlDHtyu7pRRQ9PRyrKLtvQ06hkXz\nMV0XWDmRqsrNT7BbBc/kdWP8e5AS3UNily5+Pdo15N9o8w98usywjDPZVnufnBZYAfr1iNUemGSe\nmHus/Oolq+ZjMrByiJ37dkpZ7FJVVexo2mGbRFomr8emJCvxCexBXfz7rP3ZaA99vfcl8P3SHgY9\ncnrE/T4qiuK4wIrJ6+4QmLxuRv1rxXxMBlYOoUKVtrZNu9oe99o8MjCwCs0/LwhI/FCgbvK6TR60\n2lInQT18OuUvzS7F9r3b4z5naZazAitAbCwduHecdl0wid3+AnsfCzILsLd1L1rbW2M+BmDNfEwG\nVg6gVToyLy67PASBrsnrdip3Miz7ehnu+uCuoO8nY72YwPVprFZZhqIX4JRml+K7poNDgX5Barw9\nTf7J604LrDrUDsctfEpd+TfWPIonppzDwDxpK9bjrgusnLrcQqonVcp5taDOLpW8f4snJy0HHWoH\nGlsbJZbIWjY3bMYH1R8EJ68neSE+O/Qmau+R3ozcUIFPaXYptjdujzt3KFlriyWL9n4EXmPMsXIO\nvV7HHjk9ourB1TuGFRcJdV1g5USqqqIku0Ta+QszCy13YYejBdeKokR9Y7uB9n4ELn+Q0KFAveR1\nG1xTHsXT2TNlJHk9Oy0bXo8Xe/bviXjsJ1Y/gS93fNnle05OXvd6vI77m6irwI6NHtk9sL0xuvo3\n8BhWbIS5LrCSudzCul3rcPPbNyfk2KXZpQk5biSqqtpq09zAFk+P7B7YtnebpNJYjwpVt0clGQ/y\nZOZ0mUFV1ZDDEIHvl//DoEe2sQT2/1v/f3h789tB39eS1+0QeBqlwl71CJkj6h4rvRwr9ljJJ7Nr\n+dv6b7HkqyUJObaswEo7t9UubKN65ETfYnK67Xu3d9n7Dkh85RUY8Oal56Gto83yw7TatR+YvB4u\nSNCGA40IFfQX+4pR11wnZSZwoujVI0xadw69Z29MPVYBnSNWHBZ3XWAlWyJ6R7TWnix2G5bwvzF7\n5vTkUKAfVVXRfKA5aKhKm3ljtGESSwPGPzBRFMUWn03IhUCzirGreRfaO9qDZlgavV9UVQ166GiB\nRoonBUWZRY7ajNlu9QhF550t7+DrXV93+V4sgVUgK9YTrgms3t3yLgC5Q4EqxJpPbe1tph9b2lAg\nVFv1WAU+8M24sZ0osAGQ4c1AhjfD0EJ8tY21GPHAiLjL0DOnp6U/G//hq8CeFa/Hi8LMQt3ta6JZ\ny0qvIaYFoE4KRLQ80VDJ60xid4bAhoAZyetWrCdcE1i9uPZF2UUAkJi99VRVlToUmIzFI80UmO9i\ntZvSCrbt3RaUJGr0Qb6vbR++3vl1VIvGhhomsHr+W5GvCI2tjdh/YH9Qo017v4JmDGYZGwpUoQY9\ndPzfJycFVoDz/h7qKjc9F9MPmd7le2Ykr2trxllpkWrXBFY9snsAkLvcglYpJuJhof19yaaqqimr\nSSdLUPI6ZwV2ob0/eu9Jz5yehq5dFSra1faoh6kCAxOj55NFVVWxFk9WsW5jyT9QCFw8NK4eq4Pv\nkxVzS2KlQnXkoqf0g4KMAniUriGHGcnraSlpyM/It9SwuHsCqxwReFghGTIRD/LirGLTj2lUaXYp\ndhjIo40AACAASURBVO3blZAhzkRjj5W+to62uAOdmr01hl8bqovfyoGVRitnqJZ0oGgeJt/v+z7k\nytRO6+Epyy0L+rytUF9T4mgLARvtbepQO3Rfa7W6wjWBlS/VB0BEt7KZfQGoUINaAsnk9XhRnFVs\nm0reP2Bgj1VX4XJZynLKogqWornOD3QcCApMrFZZhhLqffFfDDTW5HWg664G/oGG0SFFu+jm64bG\n1kY0tzXLLgolgF6QnO5NR056juEV92csmaF7r1mtrnBNYKVVUlKHAg9eWNsazb8AZP1d2t/UM6dn\nVA9dWQIDh6LMIjS1NbEy91Ps0+/9NBpYxTLk/U39N0H7TVq9N1HbXqYstww1e4Lfl1A5YkbXsdIE\nHkO7162YtBsrbVg18D1j0rqz6D2nemQbb9z+7/v/6X4/2sDq+6bgfSnN5JrAykpM77GSXPkoUMRD\nV+fhYnWKotgu+T6RVKidw+Z6PUjRfMbRBtrp3vSg81mpFRpKWU4ZqvdUBw2dlueWo2ZvTVBLvZuv\nG+pb6iMOnXfmu4UInkIFdHZWlhtdryjZR6jnVDRrCYbKJe6RE91El3OXnYuXN7xs+PXRYmCVRFqr\nLFEPi0mDJyXkuOFoN4tefoQVab0M/rhIaFc9c3rqfj/azzia16anpGNot6FB5bDyNaUN8YXqydMC\nLqBrkJriSUGxz9jQebGvOKgHRwvgynPLO49vRIfagan/nCpt9tTanWuxqWGT7s86e/9y9K8x5lo5\ng95yR9H0WA3uNlj3+z2ze0Y1EtTa3orNDZsNvz5argmsrHJjlmSVmJ7To62SPWf8HIwtG2vqsY2K\nNv/GSqK5sd2gcwZtQCVoeCjw4L0WbW9K4Ply03PRoXZg7/69UR0n2cpyy1DXXBcUsJfnlod8D7Te\nrEjCtcR75vTEd43fGR7S6FA7sPirxYbzWcz26KpH8eiqR8O+JrAXzir1NiVONA3bH5f/GGeNOivo\n+9E2wlSoqN5rvFESLdcEVlaR6Fa4jIpIWyXbLoGV3mw39lgJqqoiPyMfANDU2tTlZz1yeqC2sdbw\ngzze61xRFMvnWQEi4NRTml2KHU07RGK+zjBhpN4mVVWDrk3/+zstJQ0FmQVRb0AbTS+X2cKdO1zv\nH9lfqGdTNPe4tjdtoFieq4m8D1wTWMnOQwLEhVWcVYyGloaQU6hjpRz8X7JpN4tdcqz0rgOrDzkl\nmxYEBFZ2nevF6Kwm7k9VVWSnZUfdgtRj5c/GP3ldT2pKKrr5uukO+fXK62WoYtcbGvO/z6MJRLRr\nX1ZgpapqyHN3phQE/D1WqLfJPHrPqGiHtPWGE2OpJxL5vHJNYKWR3bWcoqSYvrCf7Mqnc2aUTVua\n5bnl2Lpnq+xiWIL//aFXURlNYO+e1R0NLQ3Yf2C/4XPrVbpWDqw0OWk5yErN0q3wy3LLdB8a5TkG\neqygRtwHLdTxw5HZY7V1d/j7zIkJ+SSEek71yjXWyAinJLsEO/ftNLwpebgg3wyuC6yswA4PC6P8\nW5pW/5tOff5UfNf4XdADvFdur4gVvtsoUHST2I0G0B7FY0oDwsr3ipZIriihe63Kcsqwc99O3fwr\nI8F84BB74JpY4fK4gsoLuT1W2rn1HrD+yet2baBRZHqNj/LccsP1b6iOEa/Hi26+broL8oYS6lo0\ngzchR7Ug2T1VwA+VYs+cnqZWblryukxaovGe/XuQm54rtSyhfLb9M1QUVgR9v1deL/ZY+VGgYP/1\n+5HiSQn6mZEAOnCGV5/8PhHPGaqCK8sps8VnU5ZTFnKYQ4/R4Y9iXzH27t+L5rZmZKZm6p432kBE\n2lAgVDS1NWH3/t2deXyBtB46ra60Qr1NiVWaXYq65jrsP7A/aMkVPaFSXrRGSKhGjj8VKpoPNKO+\npR6FmYVRlzkS9liZaOwjYw0NffTO6x1TD4mqqpbaaFLT2Wq3QZ7Vlt1b9Ncb2lNjyfc22bQAJzUl\nVXc1/2gmKUQ7oUGvcdA7r7dlAyv/h364Hisg+G8zmrzuUTxdercCA41o81MAuT1W4c6vKAoyUzOR\nlZYVNHNRdroDxS9UkJziSUGPnB5RLT6sJ5YhxUTdC64JrJJxY362/bOwH5R2YfXO7Y0te7ZEffyb\n3r4J8z+cr/sz2SuvA9Zf3E+Fii27g993X6oP2WnZltrEU6ZwvZ9Ggmf/tc2iHaYK1Cuvl+5nZhXa\nfRdqZmCoHiutZybSDEtFUYIaYnZOXgf086z862f/v4kBlbOEek5Fk44Rqn7qndc7qrrC6/EmrCPA\nNYFVMqiqis27wy86piC4ojRqb+terN25Vve8Mvk/XOzQY6WHw4FCpKEXo8GzoijoldsrqgaEXqUb\nbWXpr7W9NWkbg5fllIVMXteT7k2PuFSC9lmECy5j7bGSWWdEKi8T2J0pbG+TCfVvNHWFqqpdFvA1\nGwMrkxn5YGN9WBgJ3GSy+uw6bSaI3gOcCew/CNf7Gc212yevT9y9TaXZpWhoaUDLgZaof/fWd27F\nXR/cFdf5w/FPJB9YNBBZqVlBr9F6rGKdZq41xLT3MfDhpAUhRgIlFSrSUtKQ7k0P2pcxWbLTsnUX\nZvTfESGWYJHsIVRvk9FhvHANv2ifq+W55QlbJNQ1gZX2gSS6pRbug9Uq4nha4Xq/55+8nuyWqP/5\n+uT1sXTgBwDtqv7QC3usjNGCpXDXmfaQ7JPfx/C2EaGO51E8Mbcsmw80Y33d+qh/LxY/G/AzPDX5\nqaDvhxoiBCIHENp70ju3a56Z/8MpNz0XHsWDPfv3GC6rrMBFhWroAeqfKsHkdXfolWu8/g3V8Iuq\nxwpqQu8D1wRWyRAqhydQSXYJ6lvqY2qFb27YHPIhJGtmoHbeaB6kMum9T9Hc2E4WKTDPSc9Bekq6\noW1Rom1AmJU7oUl0D6//Q19RFHg9wZOss9JEL5ZeD5HRVrr/UKBeoBFtT7HMHqFeeZF7hu1Sj1B0\nwgXJRq4LIHz9FFOPFQOr+CSrJydsj9XBCyvWVrg2Xbm+pT7oZ1ZIXjdj6CeRwt7YHArsFClA753X\nO2zAot1rpdmlhhsQkSrdWK+rRD+gjd53eoGPkaEIvR7uwHMaDURUVfQkSuuxUkP3WPkPq/r3fMvO\nHyVzhU1eN9pjFaJ+iqa+6Txngup81wRWyWA0eR2ILyk3sBKVXflof1Of/MjDRLJleoPXAgI4FKgx\nMvSifc7hKIryw1IBRmf7hOnij7UC3LJ7i/RlNE6oOAFH9z466PvlueWGGmLaQyfUfdU3vy82NWwy\nXB6ZvbNGgjr2WDlTuOdCNPVEKNF0WKiqmtDnlWsCq2SN1Rv9oMzOs5K9QCggElMzUzMj7iUni6qq\n6JXXi8nrEUTqhemTZ/zBZ0beXazLk6hQsb99f9SbFBs+vmpsYd7lv1mOo3ofFfT9vvl9I76PChTk\npOcgLSUNdc11unVLNO9xvDme8dIWBq1v7trr7p+8XpZThtqm2i4zOplr5Qyh7pfirGI0tjZiX9u+\nsL8f6TqI5trOTc9Fujcdu5p3GXp9NFwTWCVLpjczZP6Jf0UcSytcq1QDLxyZlU5gRR/NQ1eG3nm9\ndb9flluG7xq/i7iuEEV+kPs/JI1WdGbmTgSy6vUYqafJ/z3xXyg18OFktMdKqyf65vfFtw3fRl/g\nOGnXRaTypqakoiSrRCwLwYDKFTyKx/C+l2bMWjZ6LcbKdYFVIm9UFarhD7Z3Xmyt8O5Z3S03886/\nou+Tb+2Zgb3zeuu2mtJS0lDkK8L2xtAb3rqBkd7WaD7jaF6biOR1AAm7HuOtS3pk90Bdcx2a25pD\nvkZ7T3rlijwzvXNG+3Dol98P39YnP7DqPH9Bv6DALqiBZvF6hKIX6X4xMmoQqX6Ktq7om983IfeC\nawKrZOX9hPtg/S8sraKMhgo1ZIK4FZLXAWv3WGnTvUOxctmTKdLwVqT3qUtPS25vY4nVBmYMxXIP\nexRPQj/TeO67FE+K4cR8/3ol8JyGe6wOJq+X5Zbh+33fG9p+y0xaj32//H665e3SQDt4jVk5X5Oi\nF+5+6Vegf10EHSNM/RRLYMUeKxuIlNgbb/K6XktOduXjf7NYfS2rY/oeg2nDp+n+rH9BfylDJFZi\npBfGyLXrvwSH0es8VKWbm54Lr8erOxs2krKcMmzavSnq3wvU3tGOf639V9zHCRRuWM5oQ6x7Vnfs\nbd2LptYmQ+f0erwoyymTlmdlZCiSPVbOE+k51S+/H75p+Cauc0STeqAoCvrm9TWlfgjkmsAqWWP1\nvXPDT0XvfN3BCyDaoChkj5W2QKjknAQrV4iqqqJvfl+cOfJM3Z/3K+iHb+rju7GdIFIvTPes7mhq\nazL0II+0NINRvfOM9Xz5U6GaNsOsZm8NfrPkN13uV6PJ6+GE6r3RaJ+F1prXqy88isfwA0Urr9He\ngUTQ+5v98/IA6zfQKDbh7pf+Bf0jDssZSV6PZsYre6xsIlxg4V8p5qTnwJfqQ21TreFjq6ramZfh\nv1aHdrHJGA60W/J6OP3z2WNlhDazLOR1HtDTUr2nOu4lD/oX9I8p6O2b39e0B3RTW5PpMwzDVez+\n95b/36/3cDLygPD/XMxMYP/8u8/x2KrHIr5OC576FUTO8eocCmTyumv0yzfWsA33nOuT1webGjZF\nrG+YvG4TWiUYKTHUv1KM5WGR4kmR2o2vx07J65FaTGb2WK2sXoknVz9p2vGSwWgPaqQAWqv8MlMz\nkZ+Rj+17I08KCPfZDCgcgI31Gw2VTaP1UJqRq6P9vv/1YcZDP1KAo70n/Qv6Y2P9xpDnjCmB3aTA\n6ovaL/Dkf41f51pZA3v//AXWI7LTHSh+ke4XI/VvpGNkpWUhLz3PUH0D6F+LZnBNYJWsG1N7AOid\nL/CiGFAwABvrjD8stN8fUDgg6AK0SvJ6UWYRWttbo9q7LFnMuLGjsfq71Xh2zbOmHS9ZjAxvRfMg\nH1AQfL36M3Jv9s+P7bMpyCgAADS0NET9u3oCg7t477tIQ4GaoswitHe0o765XvecffL6RMwV0ZLX\nAfOHQIzUY9rQqbZ+UOCyNP7XnbYcjezFXZ1gd8vusDNPkync/VKaXYrG1kY0tjbGfAzAWCNMq3Ny\n0nPCLpEUK9cEVppEBVha12JhZiE8iifkB+V/UcTSCgeCAzIrteYURTE9QEmW8txy7GjaYepsqQ11\nG0w7VjIY7YUZUDAgZKJpYO5RrNd5l/PFeIzOoac4e2e09yUhPVYhergD9yIM9x7IXHJBhYrqPdVR\n3TeResx8qT7kZeRh295tZhTR1W58+0bc//H9sosR8TmlKIopyx/0L+hvKNDX6qhEDAe6JrBK5lj9\ngAJjD4FYWuEKFFQUVmBDfdcHtsyV1wNbEBWFFZYMKPxb7HpSPCnoldvLtKFMFSq+rf/WdouOGumF\nGVA4wPBnXFEQ//UQqddLj3bPVxRWRNUzHI7ZPVYl2SVhZ/T5Hz/cA8PowyFRyesq1KiC18AHaGDy\nOmDu52YXe/bvwZKvlph6zNb2Vny962tTjxmrSM+pSDOzjXQihGv06UnEgrmuCaySaUCh/hBf4EUR\nbStc+/2gHisLrbwOWDewMsLs3ra2jjZH7kEY7jMOGvKOcJ0b3Z+wek91l21OjDLzejS7J9ajeELO\ngAu8t/oX9EfzgWbdh1O0+Sml2aXYvX93xC1EjNDKGSkI8g+ejAR2AwoGYPf+3XGXz07W7FiDq1+7\n2tRjqqpqm/rYyMzsSMGZkRQb/2sxEYuEMrAyif/wR7geqy5DJDG0wkMNCcjKsQKCL3QzeigSxUiL\nyayHp/bAsep7ocfosLJWeYXKgfG/Ho0ENpGu37SUNPTI7hHVpA3tnqwoqMD6uvWGfy/UsVI9qV2H\nAk0agu+b3zfkNRdYX4RSklWClgMthnPJtCUaTM2ziqKRGDgUGKqB5kabGjahtb3V1GPGe/2bwUgD\nKtZcSn/Rdlj0L+gf9/pZgVwTWCUzD6misMLQB9sjpwcaWhoML+zXmbx+MCCzQmKn3s1i1R4rIze2\nmbOlNHYbzjAyrJyTnoPc9FxDs2+inaQRSqxBr1nXY2l2adAWNGYMwRstX/+C/uKcOkGooogUgfW7\nQj9AA4fCjeaiGGUkYbhzKDK/X3DjMOC9DBdIOpUKFR1qh+k9KNV7qi2RwB6pARUpH9JIHW6ox8ov\nHhhUNCjsfRML1wRWiebftRjqgw3MI/AoHsNrd/jLSstCfkZ+Z2JnuGnLMiQ7sDKzwkhE4n1gPpyV\nRTOsHKoBEZi83s3XDe1qO+qa6/TPabSXLIYE9s6cxDivRxUqUjwp6JPXp7PiN2sIflDRIN0ehcDj\na4FVKAMLB0bVMzGoaBDW7Vpn+PWhqFCRn5EfVZBm5GHm32PltvWszOxh0pt4kSj72vbhrU1v6ZfD\nyOxfA/WvkQWM97fvx+6W8MPIWh01sHCgKfeBP9cEVtrFlYwbNJoHgN7SCeFoF1Xgw0JRFGkJ7IEX\nenluOXbu25mUFlJ7RzvK7iozNCMpUvI6YG4rXoWKoswi+/VYGRxWNhqwKIoSsRVp5NqNduhcu9fL\ncstQ31JvuGc4FAVK0PVhxhB8uIo9cDVyQOTt6R6naGDEYMX/fR5UqB/QxcLohB1Nn/w++K7xu86F\njvWS1wcUuq/HSmN2DwqQnJSEz7Z/hlkvzQr580j3uTZbNdRojJHgTJuZbvR67JXXC7uad8VdP/hz\nTWCVTD1zeuoO8eldFNFcAP6/7/+gslryeoonJWnbw6hQUd9Sb1qloQULZvX8WXVY1AwDCvRnBoYa\nHg51nRu9fqO5V/x5FE/Mv6tXBrOv61A9R4HXYGpKKgCEzDOL1GMV+D6b1mOlqp3bkYSbAesfPHk9\nXvQr6Bc22C7KLEJeel7c5bOTzrxME3u5VVVFekp60uqhjfUbY5pkAogUg/yMfFTvqQ75GiONsEj3\nqf+16FE8IeuyWDGwMon/8Ee4IT69PIJoKvxQCfJWSl4HkhdQaBWR0enEkW7KvIw8ZKdlo2ZvTdxl\nA8IvGGtF0ZQz3Ges1/sQ7nowtMRDtAvq+t2T8V6P2vviv9SJWZ9pn/w+qG2s1e3h1bteQ/0dsoYC\nAZGeUJhZGNV9439+vfdSm6jjRmb3WA0oHJCUBHZVVXGg44DupAijDajB3Qbj653xLQ8RbV0xsCi6\neycS1wRWyX6wGR0OHFgYuftej/+DQuZDO9TNkuyeGiMPCKM39pBuQ+K+sQHxueSl58GX6sN3jd/F\nfbxkMTqkHM1nXFFgbEJHOFrlF8ukDTOuR0VRMLioa6VvxvB7Z++Ngfdn4S8X4upx+tPxBxYNDPs3\nBg6Fa0MgkVa6NirSulOBuXeBgZ3ee3nFkVe4KoldhYruWd1ND4KSXR+HaugaaUANLvr/9s48vKrq\n6v/fc4fM85zczMlNcjOQmUyEWTAggQpWFFtbhyLVF+3o1L60fWyV2sFW3lL8VXy1b4sTtliFVFFQ\nlBlRhCAEZMgAYQwQhoTA/f2RnusdzrDPOfuO2Z/n8XkkOWeflT2stfbaa+9dKPo+qQ7Pj5PeCexs\nM9XaYTFkHau2tjYUFRXBbDZj8eLFLr9fv349oqOjUVlZicrKSjzxxBPUhPMnnHMECuILXIyzUB6B\nJdGCvaf2En+Dx9eXmPJjXQ8xdSc0D8ArTBAf2Grw5bb66OhHDo6KmuR1ZyUl5OjnxeWJKi7SiUFU\ncJTsMoEz/Hgzx0k7HXLw9VKUUIQvTn3h8DMaCOVZCZV/b/W9qEytFCwjMSwRQ9eHRDcJOENrCYTX\na+Z4ZUnABXEF2H9G+vl5o+YhMzpTk3z+RnZMNnou9FC7AcIKq+b+rxShiSnpOJdyrAAy56wooUhW\nh7s4+TJ9UQmSjtW1a9fwwAMPoK2tDe3t7VixYgX27nV1AsaNG4edO3di586d+MlPfkJNOJp4Og/J\nkkDmMGVGZ+L0pdO4MHCBqFy+U/GzPd4o+tLJ6wBkt37Tgm9X0ggT6YyJN55asML6VZTDR04+dua2\nlbfh897PHX5GuqwcGxoLg86AExdPuPzOuT/KKkvC/mvv2MjhPBHRGgXgwCEzOhOnLp2yRXloLcGL\n7ZJTUj7HcbIzb+d6prnVnFTn2X/bthQoMOkcqRh1RmRGZ1LN5cuKHt4sQPO6LiFs+lgsYkUwzqWW\nAkmds6KEIuw9Sd4XPRqx2rp1K/Lz85GdnQ2j0Yi5c+di1apVLs+R/LE/+9nPbP+tX79etcAk0D5c\nTU15lgSLiwEQqicdpyPOdbB/PzokGtEh0eg81+mV5HW+TsTaXokBpAGJ40JrxqQUS4IF7SfbqZVH\nE6vVqsgYOiPYzwX6Y0pECoauD+HkxZOuMijov2r7Fa18Ir1OrzgyQ4LQjFnNEr9UrohQPdOoF15O\nOcdKKKpP+m1fzVGkbWv45VKl+XJyZRp0BmTHZHskz4oDp6lP0ZiEJYcn45r1muidvc590Rxvxu6t\nux38FC1IOlbd3d3IyMiw/Ts9PR3d3Y7JiRzHYePGjSgvL8e0adPQ3i5sQOwFHj9+vCah5aj4cwWO\n9Anf96ZmgN7w1xuwo2eH5DPO+QNFCUXYe2qvy/eEOoVaY1GcWGxTZJ6e7TW/0IzdJ3YPf1vgb8qI\nzkDflT7Zs0S0wiuN69brRDeUa50xqUHJcq+nscLRsVIaOShOLBZ0Gp3L4DhO0vCSflNJVMR+TGZE\nZeD8wHnik8mFyuLhxytNYy82Y1YaiVZ6Jg+tJRCO42BJdHWypUiJSMGlq5fQd6XPZx0nOWa+PBMf\nHvmQerk0NxYAw+1TnFisKIqjBqvViuyYbEHHiFS3ZMdk48TFE5quW+I4TlHUKjUiFUOZQ/jeI99z\nv2NFMqirqqrQ2dmJzz77DP/1X/+FWbNmaRKIBucHzuOz3s8cfqZl4PYP9mPn8Z2K3okPi0ewPhjH\n+uVPplZiLOzbhI+EOBwQ6qHoVf9gPz49/qno73WczuZcuhsOrknFQpDWTXZMNnov9mq+R41PFrYk\nWNyu0LSgJZpmSbCg/RTZ+5ZE7fWgdhJic+w0fJ8fe/Yy0FqCp2VI5aKjzoaNpgHPis7CyYsnRZPh\nnSefHMc5LEWK1aU30xzkuDh4EZ8c+4RaebyOUrqsSoLYJIg2aZFpuDBwAecHzqt6X6/TIzc2V3Ci\nocS+CUXTbeUIBDwK4guorVRIOlYmkwmdnV9dINvZ2Yn09HSHZyIjIxEWFgYAaGlpwdWrV3HmDFny\npLuwwkq1A1mtVuw5uUf2m4KJ6ScdowFCkBoL5/edB58no1Z8nUh1dE/MkHhoDgqDziA6sNWQE5uD\n3ou91HZf0cahjyqcgAi1sVgZYsZCyTeV5ljZjwkthsW+nxfF/ydiRXESkxaZhktXL+Hs5bOC3ySl\nJKlE9G8UqueC+ALN0Te+nvllUiXRXprj1htYIW8blMKBQ0lSCfacoFMu3z7FicXEkyAt6DidYD9Q\n0seklgNJ7ZzcxN7ZYafpeEo6VjU1Nejo6MDhw4cxODiIV155Ba2trQ7P9Pb22ips69atsFqtiIuL\noyKcFpw7u1YlqKaTC3nMQp1CibGwf9/ecfPGrI6vE7GO7omBrDRBnHRQ0siz4mUz6AwwxykzOJ7C\narVi/+n9GLo+ZPuZkr5kSRSOkAiVIbkUSPhNU6QJ/YP9qpb0tPZHvu84RKwoTWb4pRpnvaW0/ML4\nQhzqOySa++Ncz0nhSTDqjESRdRKURlpKEktsEzR/TV6n5QDZwxt5mkuknohY2etjoUgo6TgXS8dQ\nUh9SESshSpNKbektWpF0rAwGA5YsWYKpU6eiuLgYt956KywWC5YtW4Zly5YBAF5//XWUlZWhoqIC\nDz30EF5++WUqgmmFdmeX65BCDe7sMYt1ioL4Ahw8e9DBuJF8g1di3jp5XW7gezJpm2SZSdGMKYHO\nzkAeX86zMuqNqk/xz4jKwIXBCw6OjlgZYhFMJd8UOkuKFFqGpSC+AAfOHJA8ZVwNzopdjVENNgQj\nKzpL+CR3kXrWalDs5ZRyrIScJ5rGzFvQdID45dK40DiEB4Wj83yn/EsEZQLDTveBMwdk7QwNihKK\nNE1iiuLFo01KdhAr6Yu8k08D2XOsWlpasG/fPhw4cACPPvooAGD+/PmYP3/4PqD7778fu3fvxqef\nfoqNGzeivr6eimBa4Hc60VJ8VljRfaFbdpbs3OBCSkaoU4QaQ5Eakar4RvOk8CRYrVacuHjC47M9\nK6z48uyXuHT1kmhH99SaPgeOWEGTDkqagwxwT84EDaywDitBu3ZSusVfKHdJqIysmCycvix8tIiS\nb5I6qc45PZqWAu0MZ3hQOBLDE3HknPAGGbUI9WE1kWily0g0nBteTqUJ7Py3/TV53Wq14tzAOfRc\n6KFedkkiveVAjuMQagyFKdLk1rtL+bzSsqQyl2NclEQlafTJnNgcHO8/TpwrW5JU4pmIlT9jtVpt\nt9Dz/wbULwkG64MVK2Ulybqkid7OyZ+WRAvxgYC0CdIHSW7fzYnNQW9/L9XLLZ3h2zUvNg+9F3sl\nzwNT0vajkkdhV+8uzbLxisRTTqYa7HeXqkFsOdAZ/mgRrZFAqdmsFFnRWTh16RTxmXHOOG8c2XNi\nD9UleFrRG6ElRR4hw0YzaiS1E8vZ0QWGL909cfEELgxe8OkkdSmC9cHUJmH2Oqokie7kDiAfq1op\nSy7D5yc+l39QhOLEYnSc6XBZ0laiww06A/Ji84ju4QSGNy2dvXyWyk72gHWsnGfhWrBah2f1UrMH\nIW+cXybhE1KlOkVZcpmsIRd635JgAeD5HCu+TqQw6AzDSYweSE7V6/SwJFioGojDfYdxZegKlfJ8\neWdgccJXTp+ayEFxQjHRkjcgHLlT+k2SsQK4jkm9Tq/asXMee2XJZdT7dUliiUP0Ru0kUCzaKlbP\nWqOz9vVcEF8gmePlDD9u5U7T9+ZF83LI2Qal8HVZkii+EUEJ9u3jqQleXmzesMNsN4lRMs5D4cYH\nhwAAIABJREFUjaHIjM4UXPJXEt2WikI520wdp6PmeAakY2WFFaVJpQ6dXevALE0qVbxmzHHDIVF7\nIyDWKcqTy4mMhVCOgrfgvy3V0fmZvbvgkyWB4SiT3CyJdFAG6YOQH5evyRmyl60gvgBHzh2h5qjR\nwmq1ukQ4lDrplkSLa9K1SBmlSaWCbaTkm+XJ5fjs+GfyDwqgxbDY951RSaOo56qkRKTACqvDSfZq\nlvillpCE6plfOlRzB6MzIYYQ5MTkKBo3cnrEl5PaeVvjjk06tNMRgP9Moty4oYjXeXqdHsWJxZqW\ntoX0udJJWHlyucvRS1LwkxutBKRjBdDvlHLr3WINXp7yVcNKdQqSDiD0fllSGZEc7qAksUT2mbIk\nbSFhJch9S3FkJIksMkJCsCEY5jizW51MtZQll2HfqX0YvDaoagKiZNlUi1PEkxmdictDlwVPcZej\nNFHYsVNKWfLwuKNp9DnOMVdQ7VguiC/A4b7DLteXiLVtTEgMYkNjRQ9VlsNZzoqUCkFdJpZj483J\nIQ1o5kLZL5fS2hlo/35JUolL7pO70Ko/xfQ5jUmYVF+k4TcEpGNltVqHOxAlg24FWXlCDV6R7Khk\nxDpFQXwBOs91Ks5HGpU8StHztODrBJDu6BUpFZIHidKAHyBlya4Jky7PapwxacETdaEUK6wIM4Yh\nOyZb9RECWdFZuHT1ki3SIpWkyteBlkNtOY4jcuaEcnrUtoHQjlw9p1dcjhzO+U5qlviDDcHIic1R\ntFSpNc/KXs7y5HJFdezPjhVva/acpBPxsyc2NBZRwVFUNknw7VOaVIqOMx1uuzPQPq/U2TFSeqSG\nUAK8UuwDGySwiJUMZUll6Dj9VQfS6vVnRWdhYGgAx/uPK3qvPIVMyRj1RhQlFMk2qrOiTQxPBADJ\n3XnuIj8uHwAkT9itTK3EzuM73RZJsy+XH8hi31JqwLXOuOyVDPAfo97rW44Vjxanj+M44vfTItNg\nhdXl3CSlztyo5FGKFCaPlv5oP76CDcEoTCikPuZKEkuw++R/IlYa0hcqUiqw85jrbRFi9UwzgV3M\nmAk5uvy3Ad8+YV2K+NB4RAdHK97VLYRzm9OejIUYQpAfl++RIy60JrAL5VIqHROmSBOGrg+52G2x\n8c+nKmi1VwHrWIUaQ6l1IF4hVKVWCSorQNwbL0sqw96Te3H12lXZTiH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} ], "prompt_number": 23 }, { "cell_type": "markdown", "metadata": {}, "source": [ "For even more control, you can choose a separate reset and refractoriness function to be called at the beginning and during the refractory period, respectively:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "brianreset()\n", "eqs = '''\n", "dv/dt = -v/(10*ms) : 1\n", "dvt/dt = (1-vt)/(100*ms) : 1\n", "savevt : 1\n", "'''\n", "def resetfunc(G, spikes):\n", " G.vt[spikes] += 1\n", " G.savevt[spikes] = G.vt[spikes]\n", " G.v[spikes] = 0\n", "def refracfunc(G, indices):\n", " G.vt[indices] = G.savevt[indices]\n", " G.v[indices] = 0\n", "inp = PoissonGroup(1, 100*Hz)\n", "refrac = CustomRefractoriness(resetfunc, 10*ms, refracfunc)\n", "G = NeuronGroup(1, eqs, threshold='v>vt', reset=refrac)\n", "G.vt = 1\n", "C = Connection(inp, G, 'v', weight=0.5)\n", "M = MultiStateMonitor(G, record=True)\n", "run(500*ms)\n", "figure(figsize=(10, 8))\n", "M.plot()\n", "ylim(-0.1, 3.0)\n", "legend()" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stderr", "text": [ "brian.experimental.new_c_propagate: WARNING Using new C based propagation function.\n" ] }, { "output_type": "pyout", "prompt_number": 25, "text": [ "" ] }, { "output_type": "display_data", "png": 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YrEi9NMo/Kyi3Q27MbjabQ4KkCu3KtVPdkKC16OnXE/mc82H84fGiS6FMMFgR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} ], "prompt_number": 25 }, { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "And finally... (if there is any time)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Any questions?" ] }, { "cell_type": "code", "collapsed": false, "input": [], "language": "python", "metadata": {}, "outputs": [] } ], "metadata": {} } ] }