{ "metadata": { "name": "", "signature": "sha256:1e102eff4607fe4d6455b45ee4460a7998f26b1aaee6c6ec759c8fa7a16859ba" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "code", "collapsed": false, "input": [ "%matplotlib inline" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 1 }, { "cell_type": "code", "collapsed": true, "input": [ "from brian2 import *" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stderr", "text": [ "WARNING py.warnings: /Users/joe/anaconda/lib/python2.7/site-packages/jinja2/loaders.py:212: UserWarning: Module argparse was already imported from /Users/joe/anaconda/lib/python2.7/argparse.pyc, but /Users/joe/anaconda/lib/python2.7/site-packages is being added to sys.path\n", " from pkg_resources import DefaultProvider, ResourceManager, \\\n", "\n" ] }, { "output_type": "stream", "stream": "stderr", "text": [ "WARNING:py.warnings:/Users/joe/anaconda/lib/python2.7/site-packages/jinja2/loaders.py:212: UserWarning: Module argparse was already imported from /Users/joe/anaconda/lib/python2.7/argparse.pyc, but /Users/joe/anaconda/lib/python2.7/site-packages is being added to sys.path\n", " from pkg_resources import DefaultProvider, ResourceManager, \\\n", "\n" ] } ], "prompt_number": 2 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Set up ramping depolarization" ] }, { "cell_type": "code", "collapsed": false, "input": [ "duration = 1000*ms\n", "t0 = duration / 2\n", "s_ramp = 225.0 * ms # duration / 4\n", "I_max = 40.0\n", "def I_ramp(t, s=s_ramp):\n", " return I_max * exp(-(t - t0)**2/(2*s**2))\n", "\n", "time = np.linspace(0*ms, duration, 256)\n", "for s in linspace(50*ms, duration / 4, 6):\n", " plot(time / ms, I_ramp(time, s=s), label='s=%.1f ms' % (s / ms))\n", " \n", "xlabel('time (ms)')\n", "ylabel('I_ramp')\n", "legend(loc='upper right')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 3, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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jgv2uYLq7O1YWFuKnmhpMGjBAqz7w3UCcHXIWNb/WwPVeV616Q7B3rv5GRW8L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3PVeeEMQhrdGmUtYVQrwNMxxJHGwhmEJKnJGYQkqckEIUlqMkFIkppMEJKkJhOEJKnJBCFJavoJ\nVAF1EVTMJsYAAAAASUVORK5CYII=\n", "text": [ "" ] } ], "prompt_number": 3 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Bursting neuron model" ] }, { "cell_type": "code", "collapsed": false, "input": [ "n = 100\n", "freq = 8 * Hz\n", "I_theta = 10.0\n", "\n", "a = 0.02\n", "b = 0.2\n", "# c = -50.0\n", "d = 4.0\n", "\n", "eqs = '''\n", " dv/dt = (0.04 * v**2 + 5 * v + 140 - u + I + theta) / (7*ms) : 1\n", " du/dt = a * (b * v - u) / (7*ms) : 1\n", " I = I_max * exp(-(t - t0)**2/(2*s_ramp**2)) : 1 (shared)\n", " theta = I_theta * sin(2 * pi * freq * t) : 1 (shared)\n", " c : 1\n", "'''\n", "\n", "neurons = NeuronGroup(n, model=eqs, threshold='v > 30', reset='v = c; u = u + d')\n", "neurons.v = '-87.0 + 25.0 * rand()'\n", "neurons.c = '-50.0 - 40.0 * i/n'" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 4 }, { "cell_type": "code", "collapsed": false, "input": [ "S = SpikeMonitor(neurons)\n", "trace = StateMonitor(neurons, ('v', 'u', 'I', 'theta'), record=[50])\n", "\n", "run(duration)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 5 }, { "cell_type": "code", "collapsed": false, "input": [ "f, ax = subplots(3, 1, sharex=True, figsize=(13, 8))\n", "sax, vax, rax = ax\n", "\n", "sax.plot(S.t/ms, S.i, '.k')\n", "sax.set(xlabel='Time (ms)', ylabel='Neuron index')\n", "\n", "vax.plot(trace.t/ms, trace.v[0])\n", "vax.plot(trace.t/ms, 2*(trace.theta[0]+1))\n", "vax.set(xlabel='Time (ms)', ylabel=r'$V_m$ [Neuron 50]')\n", "\n", "rax.plot(trace.t/ms, trace.I[0], 'r-')\n", "rax.set(xlabel='Time (ms)', ylabel=r'$I_{RAMP}$', ylim=(0,1.1*I_max))\n", "\n", "sax.set_xlim(0.0, duration / ms);" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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PbwfwQJgyUi45MYlFhgfEivvVOwWrPCBW+2rU4VZDhgwhANSnTx9dngir0aqX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TKwJXfYMC5rq8X3vmgRfwfWKnMJwXMhst7cUAhes759lc/jzh1WwA4eVJe0rQRH/D7+/ZcTnLdu\nBcqVU7evEMDNm1wBbv16ZdsDXLDiu+/UHceUBw/Yg7J2LVeFK1KEf5N373LuTuvW/Hv58EPlx3AF\nLl/mMMuxY23zdhrXyWDgHC9PT658pQUp9VrtaKKi+Px89Ijz/NKlY2NG4cLaXx8kEq1QooD0BJBe\nCNEDwB4iemLynh+AOwBqAbAjTdU9IeKLgZJGZe7M06dAs2acr6Gkqooltm7lxMjz57WbW0rBYGDl\n6949wM9P/TllMHC+yNGj1rcFOFF7yxYW2tTw33+vG445sg9FlizslVDimbCV2FgOGVKSfA5wSdkR\nI6wLUdHRwLVrfH4r5csvOQ9KSW6JLejlITQYgP/9j5XbvXvZ62ML8+YBQ4Yob6R54gSXeLalFGxC\nApf7njGD8yM2b2alyVTwPnuWlaG6dYHatbnoQkpQRPbuZY/FjBm2GYZM+fNPVszU5vJYI6V6q/Uk\nMpJDEHfs4Gv6zZuc11SgACscsbEccfD8ORthWrbkQhVqmkBKJHpjVYwhojOJT88KIRondibfRESR\nRHQs8b2Nus0wBRAVxReBAwdYQL55k4WP6Gi+SWXMyCEGFSoA1arxxaBChdRh3bl3jz0f3bsDEybY\nPk50NPc42LFDudDhLsTGsuATEMDKhy0VoG7d4rAkNaFvrVqpS9KOjWVhZulS920KWbMmW76V0r69\n9W3u32dLpVLh4OlTvsb4+iqfhxr0ui4FBXH+TWgoK6q2JoJHRbHHa8gQ5fuEhnJVJrU9ZSIj+XcQ\nHc1KhrkQOQ8PDuuqUoULJcyezUpIr16cYG+t3K8zMOZ3TZzIHh17K9MbFY+jR7W1uKeGe6RSEhJY\n6Vi8mMMWa9Z87XWrWNH8uoeGspfUx4cV4tat2XOqttKeRKIHVpPQhRCv6t8Q0R5w4nczIUQ7IUSq\n7SMbEcHW0PbtWbn44QcWwPr25eTbp085Xj8+Hnj4kOOdu3ThvgYdOgDvv8+WwKdPnf1J9OP8ebYI\nDhvGNzp7biYXL3LsvxYWbiKOm1+xgnsuPHtm/5h6ERQENG/OHoldu9SXjDVl4EB134Ga6kJG2rVj\ngc1dUbom9+7x3zp1lG2vJPkceG0NnjbNvupC1oiP124sIs7ZqlCBBaX9++2rQrV2Lf9VWk3t+XP+\n27+/uuMQsWeqQAH26FnLzwHYODJmDOcaPXvGivjeveqOqzehoXwvWriQ86O0aos1frz9PWjMYTBo\nP2ZKIiiIlbsSJTi0tWVLDvvbuZM9rNWqWVb6jF6/pUvZ0FGmDCvHQ4ZwMROJxKkQUbIPACsAfA7g\nBwALAGwDcB7cedzL2v7OfvBH1I6LF4m++IIoe3aili2Jli4lCg5WN4bBQHTiBNGAATzO0KFEAQGa\nTtPprFtHlDs30erV2oy3cCHRvXvajHX4MFGfPkTduxN98glR1qxEFSoQffcd0aVL2hxDC/bvJypU\niOcVH2/fWH/+SfTsmbJtDQaiiRP5rxomTyaKjFQ/t5TC5MlEsbHKtg0IIFqwQNm2ar6bly+JfvpJ\n/Xejht27iXLlIvr2W6KICNvHMRiIduzg31i1akTHj2szv61biY4eVb79w4dE8+erP054ONH06UQJ\nCer3NbJlC1HhwkQDBxKFhto+jlbs2EFUrBjRl18SRUdrM2Z8PNGkSfZfo8xx/jxRnjx8/U9tPHxI\n9PXXRDlysKxw6pQ244aEEA0ZQpQ/P9GaNdqM6c7cvUu0fj3Rjz8Sde1K1LgxUeXKfE2rU4fI05No\n7FgiHx+iwEBnz9YxJMrVdsvngqwEWAohjgPYmqhwvHoQUZguGpHGCCHoyROyK/YxIYHj4WfN4oS9\nwYP5YU+ddCOBgZxQvHgxh9n88EPKrqgSH8+hVitXspdBTcUZZxEfzzHivr6cHJs/Pyca9+hhX6Ut\nW4mMZEvX8uVsuWrRwvFzkKRuHj9mS/7OnZx7NHiw8kpVISGAlxdf06KiOPSpa1f14U/uQlgY8O23\nfA/56y/tErTVEBjI3cgPHeL8mebNHT8HW7l2jaMGPvmES6+/846zZ6Qvd++yh9PLi2WCUaP06Vtz\n9CiPX706r6sz7nWuSHw8ezw3b+brX1gYUKMGe3BLl+ZQ2Rw52DMXHc3J/zdv8nr+9x/ntXXtytUq\nbe2f5eoIIUBE9gdIWtNQAJTVQtNx1gMAeXrapuU9f070669sMapRg2jlSuUWULU8eUI0eDBR3rxE\n8+YRxcXpcxw9uXmTqGZNoiZNiJ4+dfZsbCM+nq2EnTsTZctG1Lcv0ZEj+lqcjRgMRN7efL51787n\nhETiTK5cYetrtmxE9euzpXvLFqKzZ9kjefMmW2a9vIh++IEtglmyEHXpwp4Ke7wH7oa/P9EHH7DF\n1FHXx/Bw9mbmzEk0ahTRixeOOa7WhIcTdepE9PHHRPfvO3s2+nD1Knvmc+Yk+v57x1jTX7zgiI7i\nxYkOHdL/eK6KwcBe1WHDWAarUYNo2jS+zqm5hr18SbRtG1GvXhzd0r8/R824G9DIA+J0BUHvBwAq\nW5Zo1izli3vmzOvwqJ49iY4dU76vvZw9S9SgAVH58kR79jjuuPaQkMAu8ty5iX7/3X2EjidP+CL0\nwQdE5crxOaQ23E4J8fFEmzYRVanCrt2dO7U/hkRiD9HRfI5++y1R06Z8fSpcmKhECQ5fbN+ehabt\n21OukOsIoqKIxozhELcpU/QLWQwM5FC9fPmIevQgunVLn+M4EoOBr8f58xPt2+fs2WjH2bOssOfJ\nw9+ZHvcYa2zcyOfKhAkp0/hpKzExRP/8Q1S1KtH77/P637ihzdimv8Fu3bQb1xWQCogKBeT2bY6l\nnzbNcpxqSAjnc9SuzTfWn392ngXaYOCYw+LFiVq3Jrp82TnzUML58xzjXaMGP3dHDAaivXv5IpIt\nG1s3Dh603yty7x7R1Kn8PVetyt+5uyhvEonEMlevspe1YEFWRIKC7B8zPp6NVn37svFswAD3tL7u\n2sVC3YwZjvFM68XRo0Rt2rBC9dtv9uVbacGjR2xcqFWL6PZt585Fbx494pyOfPk4YmPLFv3uvRER\nLE/mykU0aBDn9qR0tFJArOaAOBshxMcA5gBIByAewFAiOpH43lgA/QAkABhBRDvN7E9EhIAALgUb\nGsqxeSVLcmWhmzc5bu/oUW5u16sXx+i6Qu+O2FiOzZw6lZvvTZwI5M3r7FkxT59yiUkvL+5KPXAg\nl6N0d54949yMRYs4VrRxY6B+fa5EUry45fOGiNfsxAk+1/z8uCpJu3YcX1+9umM/h0QicT5nz3Ju\n4YYNfC1p1457JimNHQ8M5Iafu3dzH5l8+Th3rWdP9+75cPcu54V8+CF3XXfFUsfmIOIqcL/8Aly/\nznlW/fq5Tml5g4H7uUyZAvz+O59H7sSJE/z5tm7lPI3hw4GyZR1z7OBgluUWL+a8utGjgaxZHXNs\nrdEqByQlKCD+AP5HRDuEEC0AjCGihkKIsgBWAagOoBCA3QBKEZEhyf5k/IxEnFy0bRuXyXznHa7p\nX6sW0LCh654Mz5+zkL9yJZfPGzkSyJ3bOXN59owvTPPnc9fb779330Sr5CBi4cHfn28o585x4m6R\nIkDOnJzQZzAAMTF84TGeb9Wqcf32hg25RKsrKLoSicS5BAdzqXZfX76mZM/OSa+FC3Pyf7p0XEI7\nIoINGffvAxcucBJs3brAp59yYnlKaH6oFdHR3Ln9zBnuc6FHCWCtMBhY6J06lcvqfvcdC/d6ltK2\nh7Nn2WBbuTIXTkjJCepxcYC3Nysejx9zW4D+/Z1X7Of+fe7Fsn07l64eNMh1zwNLpCYFZDWADUS0\nVgjRDUArIuqZ6P0wENG0xO22A5hIREeT7E+u/hmVcusW8Ouv3GekVy9WREqUcMyxr1wB/viDa/B3\n7sw/HDUN2VID0dGsaISG8sPDgy1b2bNzDxNXVXAlEonrYDDwtf7CBeDRI+4dFR/PRo8sWdizUagQ\nd2N/773U3ayPiAXkCROA//s/4JtvXEuYCw8Hli1jL1eOHFzRqnPnlFERLiqKrfSbNgEzZwKdOqWs\ncy0wkHvdzJvHES8jR3J0i6us/blzrIjeuME94VLS+qYmBaQogEMACNw4sRYRBQghZgM4SkT/Jm73\nNwA/IvJOsr/bKCBGHj1iZcDYcbp/f/5h2dOkzhxBQRxi9e+/7PL+4gv2wLhKGJhEIpFIJLducVO+\n27c5vKldO+eFBBu940uXctRCkyYs/NaqlXIETFMOHeL7fqFCrEi5ehf1kyeB2bNZcerUicOsKlRw\n9qwss2cPh+KlTcsG5vr1nT0j67iVAiKE2AXAXJX5cQBGAJhLRBuEEJ0BDCKiJhYUkG1E5JNkbJow\nYcKr/xs0aIAGWrV+dTKxsfwjW7oUOHiQL3CtWnGn0woV1FuCwsLYnb13L7BjB3D1KndR7dmTXfwy\nXEgikUgkrggRhzlNmMAeo7FjOU/EUR6Rx4+BNWvY4xEWBvTpAwwYwF6qlE5cHIcwTZ0KtG/PIUSu\n9LnCwzk6Y/Fi/h6+/JINszlzOntmyjAY+NwZN449m1Oncj8RV8Hf3x/+/v4AeK4//zzJfRSQ5BBC\nhBNR1sTnAkAoEWUTQnwHAEQ0NfG97QAmENGxJPu7nQfEHBERwK5dHFd49ChbhEqX5hCtEiU4ZyRL\nFiBjRr6YxMTwjzYggB9Xr/IPt3x51sCbNePGT+7e9EkikUgk7gMRN338/Xfg0iXOVfT0BKpW1dYD\nQcSNiTdv5tyda9c4EuHzz/ke6o5FWYKDuXHywoVAx47sdSpXzjlzSUgADhxgA+ymTVxEqG9fbtyb\nUo2lsbEcMjZlChuUv/oKaNDANTxnN26wR2/pUiAgwI08IMkhhDgN4Gsi2i+EaAxgKhFVN0lC/xiv\nk9A/SKptpBYFJCkvXvDF8c4ddks/f85KSlQUW4QyZGCFpHBhtmSULMkJjK4SHymRSCQSiT1cvw4s\nWcJVxl68AFq2ZMGuZk3197vnz4GLFzm86uBBFn4zZeIx27VjpcOV8k/05OlTYMECLkZTpgwrXW3b\n6p/nGBcH7NvHSeW+vkCBAuxp6tHDvULDo6KAFSvY65QuHVcZ9fR0fMGfwEDOOV6xgmXJbt34u65c\nOfUoINUAzAXwDoBocBneM4nvfQ8uwxsPYCQR7TCzf6pUQCQSiUQikTDXrgE7d3KEwLFjwIMHXBzE\nGCGQNSuQOTNb1l++5KIiT55wZEBAAEcNlCvHUQJ16gD16slCLC9fcgWyVau4GmSjRhw90bgxVyWz\n13IfH8/FGPbt49DwQ4c4sqNjRw6ve/99bT6Hq0LEJbaXLWOvXt26/NmbNQMKFtT+eAYDr/eWLezZ\nu3qVFexevTiXyehZcqscED2RCohEIpFIJBJToqNfRwgEB3NIckQEC1nGKIF8+VjQK1SI/7pCKIyr\nEhLCguvu3ZxYbTAAlSpxPmqZMhxtUbAgkCsXh3Ybw7sjItg7FRTEVSTv3eNwnzNnOISuSBEOQ2rU\niP+mxrL/AK+Rry8rBrt2ceRK/frcQ6xaNS4OoMajR8RK+OXLwOnTwOHD3BMvd24OY2vThpVsc149\nqYAoRCogEolEIpFIJI6BiBWJc+eA8+fZkv7oET+eP2fPSWwsb5slCz9y5mSPVNGi7NmoXJmVF62r\ne7oD8fHcVPHwYa76deIEKxOFC3ND5Hz52KOXNSvnIsXF8ZqHhbFX78kTVr4zZ+ZGjBUqsFevdm1l\nDUylAqIQqYBIJBKJRCKRSNyV2FhW+u7c4YbR4eGscBgMnEeSLh33JMufnx9Fi9rejFEqIAqRCohE\nIpFIJBKJRGI/WikgblgoTiKRSCQSiUQikbgqUgGRSCQSiUQikUgkDkMqIBKJRCKRSCQSicRhSAVE\nIpFIJBKJRCKROAypgEgkEolEIpFIJBKHIRUQiUQikUgkEolE4jCkAiKRSCQSiUQikUgchssoIEKI\nzkKIS0KIBCFElSTvjRVC3BBCXBVCNDV5vaoQ4kLie386ftaS1IC/v7+zpyBxA1KGzIsAACAASURB\nVOR5JLEXeQ5J7EWeQxJXwWUUEAAXALQHcMD0RSFEWQCeAMoCaA7gLyGEsQHKPAD9iagkgJJCiOYO\nnK8klSAv2BItkOeRxF7kOSSxF3kOSVwFl1FAiOgqEV0381ZbAKuJKI6I7gK4CaCGEKIAgCxEdDxx\nu+UA2jlmthKJRCKRSCQSicQWXEYBSYaCAB6Y/P8AQCEzrz9MfF0ikUgkEolEIpG4KIKIHHcwIXYB\nyG/mre+JaHPiNvsAjCKi04n/zwZwlIj+Tfz/bwB+AO4CmEpETRJfrwtgDBG1SXJMx31AiUQikUgk\nEonEjSEiYX2r5EmrxUSUYlQWVPIQwHsm/xcGez4eJj43ff2hmWPavUgSiUQikUgkEolEG1w1BMtU\nadgEoKsQIr0QojiAkgCOE9ETAOFCiBqJSem9APg6Ya4SiUQikUgkEolEIS6jgAgh2gshAgDUBLBV\nCOEHAER0GcBaAJfBoVdD6XXc2FAAfwO4AeAmEW13/MwlEolEIpFIJBKJUhyaAyKRSCQSiUQikUhS\nNy7jAZFIJBKJRCKRSCTuj1RAJBKJRJIsQohcQogziY/HQogHic8jhBBzdDrmMCHE5xqMszYxf1Ai\nkUgkLoIMwZJIJBKJYoQQEwBEENFMHY8hAJwGUJ2I4u0cqwmANkQ0QpPJSSQSicRupAdEIpFIJGoR\nACCEaCCEMPZwmiiE+EcIcUAIcVcI0UEIMV0IcV4I4SeESJu4XVUhhL8Q4qQQYrsQwlxvqNoArhqV\nj8TtZwohTgghrgghqgshNgghrgshfk7cJpMQYqsQ4qwQ4oIQokviWP4AWuq8HhKJRCJRgVRAJBKJ\nRKIVxQE0BPAZgJUAdhFRBQDRAFoJIdIBmA2gIxFVA7AUwC9mxqkD4KTJ/wQgloiqA5gHYCOALwCU\nA/C5ECIngOYAHhJRJSIqD2A7ABBRHICHQogymn9aiUQikdiEVEAkEolEogUEwI+IEgBcBOBBRDsS\n37sAoBiAUgA+ArBbCHEGwDgAhcyMVQTA4ySvbUr8exHARSJ6SkQvAdwGN6I9D6CJEGKqEKIOEYWb\n7Pso8fgSiUQicQEc2gldIpFIJG7NSwAgIoMQIs7kdQP4fiMAXCKiTxSMJZL8H2syVqzJ6wYAaYno\nhhCiMoBWACYLIfYQ0c8mYxnUfRSJRCKR6IX0gEgkEolEC5IqDOa4BiCPEKImAAgh0gkhyprZ7h4A\nc7khFo8thCgAIIaI/gUwHUAVk/cLJI4pkUgkEhdAekAkEolEohYy+WvuOZI8BwAiojghRCcAs4QQ\n2cD3oN8BXE6y7SEAw5I59ltjAygP4DchhAHsiRkCsJIDoDARXVXywSQSiUSiP7IMr0QikUhcCpMy\nvDUS8zzsGaspgFZENFKTyUkkEonEbmQIlkQikUhcCmLL2CIAPTQYbgDYyyKRSCQSF0F6QCQSiUQi\nkUgkEonDkB6Q/2/vzqOkqs91j39fmcGooCIoIE4oKBEEhKhIqag4gGM04IjDyVEc4j05N3ruuge4\nyRmSnESjRqNxwgESxIiiqDgVDjgxC4iiDIoMAjLL3O/9462mmxahGrprd1U9n7X2qqpdtat+3b17\n1372bxIRERERkZxRABERERERkZxRABERERERkZxRABERERERkZxRABERERERkZxRABERERERkZxR\nABERERERkZxRABERERERkZxRABERERERkZxRABERERERkZypnXQBqpuZedJlEBEREREpBO5uu/se\nBR9AANyVQWTXDRo0iEGDBiVdDMlz2o9kd2kfkt2lfUh2l9luZw9ATbBERERERCSHFEBERERERCRn\nFEBEdiKVSiVdBCkA2o9kd2kfkt2lfUhqCiv0/hFm5oX+M4qIiIiIVDczq5JO6KoBERERERGRnMmr\nAGJmtcxskpmNyjxuYmavmtlnZjbGzPZJuowiIiIiIvLD8iqAALcCM4DSNlW3A6+6exvg9cxjERER\nERGpofImgJhZC+Bs4CGgtO1ZH2BI5v4Q4PwEiiYiIiIiIlnKp4kI7wT+Fdir3LoD3H1x5v5i4ICc\nl0pERCrHHTZujNsfUrcu7JE318hERKQS8iKAmNm5wDfuPsnMUtt7jbu7mW3326z8rJ+pVErD0ImI\n7KotW2DpUli0KJbFi2HFCli+PG5Ll+XLYeVKWLcO1q/fdtmwAerU+eGA4Q6bNsVr6tffdmnQAPba\nC/bZZ/tL06bQrBk0bx7369TJ7e9HRKSApNNp0ul0lb9vXgzDa2b/CVwBbAbqE7Ug/wC6ACl3X2Rm\nzYE33f2oCttqGF4RkWy4R6CYO3fb5csvywLH0qVxot+sWSxNm0KTJtuGgMaN43avvaBhw7LgUBoi\nsqndKK0lqRhe1q2DVau+H3ZKb5csiXIuXBj3y5e1ZUto3Xrb5aCDoFat6v29iogUiKoahjcvAkh5\nZtYD+KW79zaz3wHL3P23ZnY7sI+7317h9QogIiLlLV0KM2duu3zxBcybB3vuWXZyfsghcduyZdQo\nlAaOfKlV2LIFli0rCyRfffX9cLVkSYSQww6Do47adjnwQLDd/p4VESkYxR5A/sXd+5hZE2A40AqY\nC1zi7isqvF4BRESK06pVMHUqTJ4MU6bAJ59E2Ni8Gdq23fZk+/DDI2w0apR0qXNrw4ao4fn88/jd\nfPppWSj77js48sj4XR17bCwdOsB++yVdahGRRBRtAKksBRARKQoLF8KECRE2SpeFC+GYY+Kk+dhj\noV27CBsHHKAr+9lYvjwCyYwZEeBKg1yjRmW/0w4doHPnqC3S71RECpwCSJYUQESk4KxbBxMnwgcf\nwPvvx+2aNdCpE3TsGCfFHTrAEUdA7bwYayR/uEdTtdIwMmkSfPRRdJo//njo1g26doUuXaL/iYhI\nAVEAyZICiIjkvYULYexYeOedCBvTp0dtRteuccLbrVs0odIV+OTMnx9/m9JQOHFi9J3p1g1OPjmW\nQw/V30hE8poCSJYUQEQk73z9dQSOdDpulyyB7t1j+clP4LjjYlQpqbk2b4Zp0+C99+Ctt+LvuMce\n0KNHhJEePaJ/iQKJiOQRBZAsKYCISI23dCm89los6XQMKVt6ktqjB7Rvr6Fi8517dHQvDSNjx0YH\n+B494Iwz4PTToVWrpEspIrJDCiBZUgARkRpn48ZopvPKKzBmDHz2GaRS0LMnnHJKNK/SLOCFb948\neOMNePXVWPbbryyMpFIxJLKISA2iAJIlBRARqRHmzIHRoyNwpNPQpk2cbJ55ZvQTqFs36RJKkkpK\nomP7mDGxfPRRDCpw5plw7rkxmpmaa4lIwooqgJhZfWAsUA+oCzzn7neY2SDgOmBJ5qV3uPvLFbZV\nABGR3CspgQ8/hOefj2XJEjjrrDih7NkT9t8/6RJKTbZ2bTTTevllGDUqmnD17h1Ljx5Qr17SJRSR\nIlRUAQTAzBq6+3dmVht4B/glcBqw2t3/uIPtFEBEJDfWro1+HM8/Dy++GCGjd2/o0yeGaFWzKtkV\n7jHy2ahRscyYESG2d284+2yFWRHJmaILIKXMrCFRG3I1cDGwxt3/sIPXK4CISPX59lt47jn4xz/i\ninWXLhE4eveOYVdFqto330RzvlGj4PXXY0LEiy+GCy+Egw5KunQiUsCKLoCY2R7AROAw4H53/99m\nNhDoD6wExgP/4u4rKmynACIiVWvpUhg5EkaMiGFWe/aEiy6Kq9GafE5yaf36qHUbMSICyZFHRhi5\n6CI4+OCkSyciBaboAkgpM9sbeAW4HZhBWf+PXwPN3f3aCq/3gQMHbn2cSqVIpVK5KayIFI4lS+DZ\nZ+NE74MPogP5T38aoUOjFUlNsHEjvPlm7KMjR0Lr1mVh5PDDky6diOShdDpNOp3e+njw4MHFGUAA\nzOz/Auvc/X/KrWsNjHL39hVeqxoQEdk1y5fDM8/AsGEwYQL06hUndGedBY0aJV06kR+2eXPMOTJi\nRDQPbNkS+vWDSy+FAw9MunQikqeKqgbEzPYDNrv7CjNrQNSADAamu/uizGtuA7q4e78K2yqAiEj2\n1q+PDuRPPRXt608/PU7cevWChg2TLp1I5W3ZEjUjQ4dGzUjHjnDZZdFnRE0GRaQSii2AtAeGAHtk\nlifc/fdm9jjQAXBgDvBzd19cYVsFEBHZsZKS6ED+5JPRzEonaFKo1q2LDuxDh0bfkdNOi4B9zjnQ\noEHSpRORGq6oAsjuUAARkR80ZUqEjmHDYijTyy6Dvn01kpAUhxUronnW0KHRxPCCC+Dqq6F7d016\nKCLbpQCSJQUQEdnG0qVxwvXII9HH4/LLI3i0a5d0yUSSs2BB/F88+mg0Q7zqKrjyyujILiKSoQCS\nJQUQEWHzZnjllTi5eu01OPdc6N8fTjlFkwOKlOcetSGPPQZ/+1vMMXL11dEcUQMviBQ9BZAsKYCI\nFLFPP43Q8cQTMQrQNdfEKEB77510yURqvvXrY26Rxx6DceMihPTvDyeeqCZaIkVKASRLCiAiRWbV\nKhg+PILH7NlwxRVxBVdNrER23cKF0V/q0Udh0ya4/vr4v2raNOmSiUgOKYBkSQFEpEiMHw8PPBDz\nHpxySlyp7dUL6tRJumQihcMd3n8f/vrX6MB+xhkRRk47Tc0ZRYqAAkiWFEBECtjq1TGC1QMPwLff\nxonQNddAs2ZJl0yk8K1cGfPlPPBA/C9ef30Ef/3/iRSsogogZlYfGAvUA+oCz7n7HWbWBPg7cDAw\nF7jE3VdU2FYBRKTQTJoUJz3Dh0MqBT//eUwYqCuwIrnnDh99FLUiI0bAqafCP/2T/idFClBRBRAA\nM2vo7t+ZWW3gHeCXQB9gqbv/zsx+BTR299srbKcAIlII1q6NUXkeeAAWLy6r7TjwwKRLJiKlVq3a\ntlbyuutiUa2ISEEougBSyswaErUhVwPPAD3cfbGZNQPS7n5UhdcrgIjks48/hr/8JU5quneP2o4z\nz4RatZIumYjsyIQJ8b87YkT0xxowQCNoieS5qgogeVM3amZ7mNlkYDHwprtPBw5w98WZlywGDkis\ngCJSdTZtgqefhh494sSlaVOYOhWeew7OPlvhQyQfdOoUzbLmzIGuXaPGskOHqB1Zsybp0olIgvKx\nBmRv4BXgDuAf7t643HPfunuTCq/3gQMHbn2cSqVIpVI5Kq2IVMqiRXHC8sADcPjhcNNNcN55GslK\npBCUlMDrr8Of/wxvvw2XXw433ghHHpl0yUTkB6TTadLp9NbHgwcPLs4mWABm9n+BdcB1QMrdF5lZ\nc6JmRE2wRPJJ6bCe994Lo0fHRIEDBkD79kmXTESqy7x5caHh4Yfjf33AAOjdG2rXTrpkIrIDRdUH\nxMz2Aza7+woza0DUgAwGzgSWuftvzex2YB91QhfJE+vWRafye++NjqsDBsTEZvvsk3TJRCRXNmyI\nPiJ//jPMnx99vK67Dg5Qi2qRmqjYAkh7YAjRZ2UP4Al3/31mGN7hQCs0DK9IfpgzB+6/P2ZU7to1\nmlmdcYaG6xQpdpMmwX33RSDp0wduvRWOOy7pUolIOUUVQHaHAohIDeAOr70G99wD48ZFTccNN8Bh\nhyVdMhGpaZYtg4ceilqRgw+GW26BCy5Q8yyRGkABJEsKICIJWrcOnnwS7rorRq665Rbo1w8aNky6\nZCJS023eDM8+C3ffHX1GBgyI+X+aNNn5tiJSLRRAsqQAIpKABQuiKcWDD0K3bvCLX8App2j8fxHZ\nNRMmRBB5/nm45JK4mHH00UmXSqToFN08ICKSByZMgCuugGOOgRUr4N1344Th1FMVPkRk13XqBEOG\nwMyZcOCB0LMnnH46vPBCDO8rInlFNSAisnu2bIkJAu+6C+bOhZtvjlFsGjfe6aYiIrtk40YYPhz+\n9CdYvjyOO/37w157JV0ykYKmJlhZUgARqSarVsUY/nffDc2bRzOrCy9UR1ERyR13eO+9CCKvvho1\nsDffHBOZikiVUxMsEUnG7NkRNlq3hg8/jLk8xo2LdtkKHyKSS2Zwwgnw97/D1KnQqFE87tMH3ngj\nAoqI1Dh5EUDMrKWZvWlm081smpndklk/yMzmm9mkzNIr6bKKFCR3eOutGArz+OOhfn2YMgWGDYu5\nPEREktaiBfznf0ZT0N69oybk2GPhkUdg/fqkSyci5eS0CZaZNQb2cvd5ldyuGdDM3Seb2Z7ABOB8\n4BJgtbv/cQfbqgmWyK7auDGuLN55J6xdGzUfV14ZVxlFRGqy0vmH7roLxo+PWdZvuCGajIrILsnX\nJlg3AteaWdvKbOTui9x9cub+GuAT4KDM0xpaR6SqLVkCv/lNNLN64om4/8kn8eWt8CEi+cAsRsp6\n8cWowV22LIbuveKKGLFPRBKT6wAyzt3/Hai/q29gZq2BjsD7mVU3m9kUM3vYzPbZ/SKKFLFp02Ki\nrzZtohnDmDGxnH027JEXLTZFRL7vyCNjZvUvvohmWRdeCN27wzPPxISHIpJTuW6C9QLwErAEeBrY\n192XVmL7PYE08Bt3H2lmTTPvBfBroLm7X1thGx84cODWx6lUilQqtTs/hkhhKSmBl1+OZgrTpsGN\nN0ZThf33T7pkIiLVY/NmGDkyjnvz50d/kWuvhX10HVOkvHQ6TTqd3vp48ODB+TcMr5kdBtQBTiJq\nMQ5z96w6jptZHeAF4CV3v2s7z7cGRrl7+wrr1QdEZHvWroXHH4/hKxs2hNtui5Gs6tVLumQiIrnz\n0UdxHBw9Gvr1i1nW27RJulQiNVJezgNiZo3dfXm5x+3cfUYW2xkwBFjm7reVW9/c3Rdm7t8GdHH3\nfhW2VQARKW/+fLj33pjD46STInh0766ZykWkuC1YAPfdBw8+GKP9/eIXcNppOjaKlJOvAeQh4Eng\nfXdfb2b13X2nY+OZ2UnAW8BUoLTA/wb0BTpk1s0Bfu7uiytsqwAiAjFnx513wiuvxEhWt9wChx6a\ndKlERGqWdetg6NBonuUeQeSyy6BBg6RLJpK4fA0gxwPHAwcAewIHufsl1fyZCiBSvDZvhmefjS/S\nBQsidFxzDey9d9IlExGp2dxjMsO77oIPPogBOm68EQ46aOfbihSovAwgAGbWADgEWAC0cfcPq/nz\nFECk+KxcCQ89BPfcE5Nz3XYbnHeeZioXEdkVs2bF8fTJJ+Gss6JWpEuXpEslknP5Og8IwCZgPdAH\nOCaBzxcpXF98EbUchxwCEyfC00/DO+/ARRcpfIiI7KojjoC774bZs6FTJ/jpT+HEE+MYq2F8RSot\n102w3gU+AKYQfTZmu/v8av5M1YBIYXOPSbbuvBPefTeaCQwYoGYCIiLVZfNmeP75aJ41dy7cdFMc\nexs3TrpkItUqL5tgmVkboC6wN9FxvIe7/1c1f6YCiBSmjRvhb3+LL8DvvosmAVdeGUPqiohIbkyY\nEMP4jhoFfftGLfRRRyVdKpFqkZcB5HsfbtbZ3cdX82cogEhhWboU/vKXGC7ymGOif8eZZ2qmchGR\nJC1cGMfmv/wlmmn94hdw+ukaxlcKSl4GkEwH9GZA88ztSe7+v6r5MxVApDBMnx61Hc88E306br01\nAoiIiNQc69fDsGFxvN60KY7VV1yh2mkpCPnaCf0/MksHoA3wSTYbmVlLM3vTzKab2TQzuyWzvomZ\nvWpmn5nZGDPbp/qKLpKAkhJ46SU44wzo2RNatYJPP4W//lXhQ0SkJqpfH/r3h8mT4c9/jhnWDz4Y\n7rgjJoIVkUSG4W0LtAfWuvuLWW7TDGjm7pPNbE9gAnA+0B9Y6u6/M7NfAY3d/fYK26oGRPLPmjXw\nxBMx7GO9etHM6tJL476IiOSXL76I4/njj0eT2VtvhW7dki6VSKXlZROsbT7YrBfQ3t1/vwvbjgTu\nzSw93H1xJqSk3f2oCq9VAJH88cUXccXs8cehRw+4+ea4VRtiEZH8t3IlPPpoDOnbtGn0E7noIqhT\nJ+mSiWQlLwOIme0B1HH3DZnHJ7n7O5V8j9bAWGIOkS/dvXFmvQHflj4u93oFEKnZ3OG11+IL6f33\n4dpr4YYbospeREQKz5YtMWrWXXfFhacBA2IY3333TbpkIjtUVQEk1zOTDQYONLP/IIbibVmZjTPN\nr54BbnX31VbuqrC7u5ltN2kMGjRo6/1UKkUqlap0wUWq3Jo1UdNxzz1Qt24M3fj3v6ujoohIoatV\nC84/P5bJk2MY38MPh0suieZZ7dolXUIRANLpNOl0usrfN9c1IKe4+5tm9ktgHZEb7sty2zrAC8BL\n7n5XZt1MIOXui8ysOfCmmmBJjff552XNrE45JZpZnXyymlmJiBSzxYtjCN/774djj43mWRpiXWqY\nfG2C9QwwAljo7mkz28vdV2WxnQFDgGXuflu59b/LrPutmd0O7KNO6FIjlZSUNbP64AO47rpoZtWq\nVdIlExGRmmTDhrJJZtetixqRK6+ERo2SLplI3gaQjsCPgBOBg4EW7n5uFtudBLwFTCVmUAe4A/gQ\nGA60AuYCl7j7igrbKoBIclavLmtmVb9+1Hb06wcNGiRdMhERqcnc4e23I4i89RZccw3cdJMuXEmi\nanwAMbNr3P2Rnbymg7tPrpYClH2GAojk3vTpUY0+dCicemr07+jeXc2sRESk8mbPhnvvhcceizmh\nbr0VTjhB3ymSc/kQQL4BXgQ+IGoqprj7lsxzrd19brV88PfLoQAiubFxIzz7LNx3H8yaFSOaXH89\ntGiRdMlERKQQrFoVIeSee6Im/YYb4PLL4Uc/SrpkUiTyIYD8iggfXYEuxOSDS4kw0szd+1bLB3+/\nHAogUr2+/BIefBAefhjatoUbb4TzztO47iIiUj1KSuCNN6Km/c03Y6LaG26AH/846ZJJgcuHAPK9\nM//MZIFdgZvc/fRq+eDvl0MBRKpeSQmMGRMH/3feiStQ//zPEUBERERy5euv4wLYgw/G/FE33AAX\nXxz9DkWqWI0PIDv8ULOT3f2tHH2WAohUnaVLYxbbBx6AvfaK2o6+fTU6iYiIJGvzZnjhhbgwNmkS\nXHVVXBg77LCkSyYFpKoCSCKDS+cqfIhUCXcYNy4O5kccAdOmwVNPwYQJMZyuwoeIiCStdu2Y2PCV\nV+I7ywx+8pOYS2TkyAgoIjVEIjUguaQaENlly5bFELoPPRQH7uuvh/79Yd99ky6ZiIjIzq1fDyNG\nRK3Il1/GRbP+/TWUr+yyvK4B2RVm9oiZLTazj8utG2Rm881sUmbplWQZpQCUduzr2zeqrSdOjAP3\nzJnwy18qfIiISP6oXz/6KL77Lrz4IixZAh07wllnwTPPxOiNIgnImxoQM+sOrAEed/f2mXUDgdXu\n/scdbKcaENm5hQtjaMOHH4aGDaO24/LLoXHjpEsmIiJSddati/Dx0EPwyScxy/q118JRRyVdMskD\nRVcD4u5vA8u385Rm4ZFds2ULjB4NF1wA7drFRE9Dh8KUKTFjucKHiIgUmgYN4gJbOh0zrdeqBalU\nTJY7ZAh8913SJZQikDc1IBATGAKjKtSA9AdWAuOBf3H3FRW2UQ2IbGv27DjIPvooNGsWtR0/+5km\nchIRkeK0aVM00XrooejAfuml0V/kuOM027pso6pqQGpXRWESdD/w/zL3fw38Abi24osGDRq09X4q\nlSKVSuWgaFKjrFkTHfEeewymT48+HqNGwbHHJl0yERGRZNWpEyNonX8+fPVVfFdedFG0BLj6aujX\nD/bfP+lSSgLS6TTpdLrK3zeva0CyeU41IEWspATGjo0D6XPPQY8ecSA95xyoWzfp0omIiNRcJSXw\n+uvRYuCFF6KZ1lVX6Tu0yOX1RIS7ajtNsJq7+8LM/duALu7er8I2CiDFprSJ1ZAhMVlg//5x9eaA\nA5IumYiISP5ZtSpaEQwZAjNmRBOtq66Czp3VRKvIFF0AMbNhQA9gP2AxMBBIAR0AB+YAP3f3xRW2\nUwApBqtXlzWxmjEjAsfVV0OHDjo4ioiIVJXZs+GJJ2KerHr1IohcfjkcdFDSJZMcKLoAsqsUQArY\nxo0x4+tTT8FLL0X1sJpYiYiIVD93eOedqBV55hk4/vgII+edB40aJV06qSYKIFlSACkwJSUxodJT\nT0WNR9u2cNll8NOfapJAERGRJHz3XfS1fPxxeO+9uBDYty+ccYYuCBYYBZAsKYAUiI8/jtAxbFj0\n67jssji4HXxw0iUTERGRUt98ExcIhw6FmTPh4ovj+7p7d9gjb6afkx+gAJIlBZA8Nm9eBI6nnoKV\nK6Nfx2WXQfvvDYImIiIiNc28efC3v0UY+fbb6Lzerx907Kj+mXlKASRLCiB5Zt68uHLy9NPw+edx\n5aRfPzjpJF05ERERyVfTp8dFxWHDYt6Rvn1jEuAjj0y6ZFIJCiBZUgDJA19+GYGjNHScf3706Tj1\n1DhIiYiISGFwhw8/jFqRESOgSZO42HjxxXD00UmXTnZCASRLCiA11JdfxoFn+HCFDhERkWJUUgLv\nvx/nAyNGwJ57loWR9u3VTKsGKroAYmaPAOcA35SbiLAJ8HfgYGAucIm7r6iwnQJITTF7NowcGTUd\ns2YpdIiIiEgorRkpDSN16pSFEfUZqTGKMYB0B9YAj5cLIL8Dlrr778zsV0Bjd7+9wnYKIElxh0mT\nInSMHBkjY/TuHQcThQ4RERHZHneYOLGsT2hJCVx4YcwxcsIJUKtW0iUsWkUXQADMrDUwqlwAmQn0\ncPfFZtYMSLv7URW2UQDJpU2b4O23y0JHvXpwwQVR29G1qw4aIiIikj13mDIlzimeew7mz495Rvr0\niXlG9twz6RIWFQWQeLzc3Rtn7hvwbenjctsogFS3NWtgzJg4OLz4Ihx2WASO88+PiQJVbSoiIiJV\nYd48GDUqwsgHH8DJJ0cY6d0bmjdPunQFTwGEbQNI5vG37t6kwjY+cODArY9TqRSpVCon5S1os2bB\n6NERON57D37ykwgcffpAixZJl05EREQK3YoV8PLLEUZefjmG9O3TB849cwaYgQAADMFJREFUV53Y\nq0g6nSadTm99PHjwYAWQTBOslLsvMrPmwJtqglVNNmyAsWMjdIweHbUeZ58d1aCnnRazk4uIiIgk\nYeNGeOutCCOjR8d5S69eca7Ss6fOU6qIakDY2gl9mbv/1sxuB/ZRJ/Qq9NVX8NJLUcvx5ptwzDER\nOM4+Gzp00JUFERERqXnc4bPP4hzmpZdg3Djo1AnOOisW1Y7ssqILIGY2DOgB7AcsBv4deA4YDrRC\nw/DuvrVro5bj1VdjWbQIzjwzAseZZ8J++yVdQhEREZHKWbsW0ukII6NHR21JaRg55RRo3HinbyGh\n6ALIrlIA2YEtW2DChLLAMWFCXCE4/fRYOnXSqFUiIiJSOMrXjrz8Mrz7bgyY07NnLCecAPXrJ13K\nGksBJEsKIBXMnl0WON54Aw48sCxwnHyyhrMTERGR4rFhQwym8/rr8NprMG0adOtWFkg6dNDF2HIU\nQLJU1AHEPQLH2LFR9Th2bMzT0bNnBI6ePTVknYiIiEiplSvjfOm112JZvDiaaZ16KvToAe3aFXX/\nEQWQLBVVAHGHzz8vCxtjx8bsoalU/NOkUnDEEUX9jyMiIiKStQULonbkjTdilK1Vq6B792g1cvLJ\ncOyxRVVDogCSpYIOICUlMGNGtF8sreWoVWvbwHHYYQocIiIiIlVh/vwIIqXLggVw4ollgaRTJ6hb\nN+lSVhsFkCwVVABZvTpm/Rw3Lpb334emTWMSwNLAccghChwiIiIiufDNN/D222WB5PPPoXPnODcr\nXQpoFFEFkCzlbQBxh7lzy8LGuHEx+3jHjjFCwwknxE7dtGnSJRURERERgOXL4wLxe+/F8uGHZReL\nS5djjoHatZMu6S5RACnHzOYCq4AtwCZ3P77cc/kRQJYsgfHj4aOPypY99ohqvdLA0bFjQVfriYiI\niBSULVuiufx775UFk6+/Lqsl6do17h94YNIlzYoCSDlmNgfo5O7fbue5mhdAVq6EiRO3DRsrVkS7\nwS5dypaWLdWcSkRERKSQfPttNKl/7704Bxw/PmpEOneOc8HS2xo4UqkCSDmZANLZ3Zdt57lkA8iS\nJTBlSiyTJsVONn9+jCvduXNZ2Dj88KjxEBEREZHi4Q5ffRXniBMmxO348TEhYvlQ0rEjNGuW6MVp\nBZByzGw2sJJogvWAu/+13HO5CSBbtkTHoylTYPLkstu1a2OItg4d4rZz5xhDOk/b/omIiIhINXOH\nefO2DSWTJsXF6mOPhR//uOy2bVuoVy8nxVIAKcfMmrv7QjPbH3gVuNnd38485wMHDtz62lQqRSqV\n2vUPc49ajenTo03fxx9H2Pj44+hkVBo2SgPHwQerGZWIiIiI7B73GPZ36tQ49yy9nT07WtJUDCZV\nUFuSTqdJp9NbHw8ePFgBZHvMbCCwxt3/kHm8azUg7jG0WmnQKH9bUgJHH122dOgQf+i9967in0ZE\nREREZAfWr49z1PLBZOpU2Lw5akfatdv2tlWrXW72rxqQDDNrCNRy99Vm1ggYAwx29zGZ53ccQDZu\nhDlzYojbzz6LpTRoQASMdu22vT3gANVqiIiIiEjNtWQJfPJJLDNmlN2uWAFHHrltKDnqKDj00J02\n5VIAyTCzQ4BnMw9rA0+5+3+Ve9598+bo3FMaMsqHjfnzoUULOOIIaNMmbkuDRtOmChoiIiIiUjhW\nroSZM8sCyYwZ8Omn8OWXMRxw6flw+aV1a6hTRwEkW2bmXr8+7Ltv/EJLf6mlt4ceqrk1RERERKS4\nbdoUk2DPmvX9ZcECaNUKmzVLASQbZua+Zg00apR0UURERERE8s+GDTBnDta2rQJINhKfB0RERERE\npABUVRMszXwnIiIiIiI5owAiIiIiIiI5owAiIiIiIiI5owAiIiIiIiI5k/cBxMx6mdlMM5tlZr9K\nujxSeNLpdNJFkAKg/Uh2l/Yh2V3ah6SmyOsAYma1gHuBXkA7oK+ZtU22VFJodMCWqqD9SHaX9iHZ\nXdqHpKbI6wACHA987u5z3X0T8DfgvITLJCIiIiIiPyDfA8hBwFflHs/PrBMRERERkRooryciNLOL\ngF7ufn3m8eVAV3e/udxr8vcHFBERERGpQapiIsLaVVGQBH0NtCz3uCVRC7JVVfySRERERESkauR7\nE6zxwBFm1trM6gKXAs8nXCYREREREfkBeV0D4u6bzewm4BWgFvCwu3+ScLFEREREROQH5HUfEBER\nERERyS/53gRrhzRJoWTDzFqa2ZtmNt3MppnZLZn1TczsVTP7zMzGmNk+5ba5I7NfzTSzM5IrvdQk\nZlbLzCaZ2ajMY+1DkjUz28fMRpjZJ2Y2w8y6ah+SysjsE9PN7GMzG2pm9bQPyY6Y2SNmttjMPi63\nrtL7jJl1yux3s8zsTzv73IINIJqkUCphE3Cbux8NdAMGZPaV24FX3b0N8HrmMWbWjuhv1I7Yv+4z\ns4L9X5JKuRWYAZRWLWsfksr4EzDa3dsCP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"text": [ "" ] } ], "prompt_number": 9 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Save the figure" ] }, { "cell_type": "code", "collapsed": false, "input": [ "posterdir = '/Users/joe/projects/poster'\n", "imagefn = 'mehta_ramp_demo.pdf'\n", "\n", "savepath = os.path.join(posterdir, imagefn)\n", "f.savefig(savepath)" ], "language": "python", "metadata": {}, "outputs": [] } ], "metadata": {} } ] }