{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Transition analysis for ABL\n", "\n", "This example uses [a microsecond trajectory of the kinase domain of human tyrosine kinase ABL1](https://figshare.com/articles/Microsecond_molecular_dynamics_simulation_of_kinase_domain_of_the_human_tyrosine_kinase_ABL1/4496795), kindly provided by John Chodera and Sonya Hanson. To run this notebook, download that data and unzip it in the directory from which you launch the notebook.\n", "\n", "Since that data comes from Folding@Home, its frames are saved very infrequently. That means that the numeric values of things like fluxes might change with more resolution in the time step. However, this type of analysis is still an excellent way to check a proposed state definition." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "from __future__ import print_function\n", "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import mdtraj as md\n", "import openpathsampling as paths\n", "\n", "from openpathsampling.engines.openmm.tools import ops_load_trajectory, topology_from_pdb" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "trajectory = ops_load_trajectory(\"4496795/run17-clone3.h5\")\n", "dfg_angle = paths.MDTrajFunctionCV(name=\"DFG\",\n", " topology=trajectory.topology,\n", " f=md.compute_dihedrals,\n", " indices=[[2257,2255,2265,2270]])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This dihedral angle is meant to be a measure of the physiologically-significant DFG motif orientation in kinases. This particular angle was proposed in [Lin et al. PNAS **110** 1664 (2013)](https://doi.org/10.1073/pnas.1214330110)." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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G5gVSyj1Syt+K/x1yMZ+Gy42CjkjKWABG+yVz1Df6ZDuWS5Ys8TsLKUs5lyIf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\npMrnBFLns/JzJhd+TrIrw8V9NwAgANwAYDOAcwFMA1AGwN0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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(dfg_angle(trajectory), '-k')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we'll define a couple states. Note that the state definitions used here are not intended to represent the physiologically-significant states of the DFG motif. The specific bounds of these state definitions are chosen in order to create an example of how to use OpenPathSampling with this kind of data." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": true }, "outputs": [], "source": [ "state_1 = paths.CVDefinedVolume(dfg_angle, 0.0, 1.0)\n", "state_2 = paths.CVDefinedVolume(dfg_angle, -2.0, -0.75)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We want to analyze this trajectory for transitions between the two states, so we create a transition object to describe what we're studying." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": true }, "outputs": [], "source": [ "transition = paths.TPSTransition(state_1, state_2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we do that actual analysis:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "analyzer = paths.TrajectoryTransitionAnalysis(transition)\n", "analyzer.analyze(trajectory)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Once the analysis has been run for this trajectory, we can look at some of the results (which are stored in the analysis object).\n", "\n", "The code here is just some standard matplotlib tricks to make the kind of plot we'd like. We want to show the trajectory, plotted according to some collective variable. " ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def plot_segments(segments, trajectory, cv, *args, **kwargs):\n", " \"\"\"Plot segments of a trajectory according to a CV.\n", " \n", " Additional *args and **kwargs are passed directly to plt.plot (to set style)\n", " \n", " Parameters\n", " ----------\n", " segments : list of paths.Trajectory\n", " the subtrajectories of `trajectory` to plot\n", " trajectory : paths.Trajectory\n", " the full trajectory\n", " cv : paths.CollectiveVariable\n", " a collective variable to put on the y-axis\n", " \"\"\"\n", " indices = trajectory.subtrajectory_indices(segments)\n", " for (x_vals, seg) in zip(indices, segments):\n", " if x_vals != []:\n", " plt.plot(x_vals, cv(seg), *args, **kwargs)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Continuous frames in the state\n", "\n", "This is one of the easier parts of the analysis to understand. This just isolates all the segments of the total trajectory that are in each state. This is a quick way to check which frames are in each state, as well as checking how long your simulation stays in the state. Typically, you want to define your state such that the trajectory completely loses memory before it leaves the state." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# extract the data\n", "state_1_segments = analyzer.continuous_segments[state_1]\n", "state_2_segments = analyzer.continuous_segments[state_2]" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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K9ETEhd+VfwLQDbgKERWNgamIUGmNuOHnIJlHj0IEx4dem4/x1v0UccdMAlYi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\n9+//HWbPnsJRRx1Gu3YzgIFkMsPJZg9n8uTHimqfXr78adauv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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# and plot it\n", "plt.plot(dfg_angle(trajectory), 'k')\n", "plot_segments(state_1_segments, trajectory, dfg_angle, 'ro')\n", "plot_segments(state_2_segments, trajectory, dfg_angle, 'bo')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "That shows which frames are in each state. The more interesting information is in how long they stay in each state. We can look at the mean, or plot the whole distribution." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Number of continuous segments: 199 291\n", "Average length (frames): 2.08040201005 8.83505154639\n" ] } ], "source": [ "print(\"Number of continuous segments:\",)\n", "print(len(state_1_segments), len(state_2_segments))\n", "print(\"Average length (frames):\", np.mean(state_1_segments.n_frames), np.mean(state_2_segments.n_frames))" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "bin_spacing = np.arange(0, 60, 2)\n", "plt.hist(state_1_segments.n_frames, bins=bin_spacing, density=True, alpha=0.5, color='r');\n", "plt.hist(state_2_segments.n_frames, bins=bin_spacing, density=True, alpha=0.5, color='b');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Lifetimes\n", "\n", "The lifetime of a state is the (average) time from when it first enters the state (from another state) until it enters another state. The rate is the reciprocal of this lifetime. The analysis here finds all the segments that contribute to that lifetime. Here we don't bother to estimate the rate (since we have no more than 2 events per state), but we can calculate how many frames there are in each.\n", "\n", "When we refer to the \"time scale\" of an event, we are usually refering to its lifetime." ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": true }, "outputs": [], "source": [ "lifetimes_1 = analyzer.lifetime_segments[state_1]\n", "lifetimes_2 = analyzer.lifetime_segments[state_2]" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": 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I12G877eAe4nFTkQDhyn7CwUFBUmX9+/fv8417Sp00BK4n/hoorHYiUkbFRvV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\nn+9z1VVTGTHiUFq1mgH0J5UaSjp9GJMnP51X+/Ty5c+zYcONa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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(dfg_angle(trajectory), 'k')\n", "plot_segments(lifetimes_1, trajectory, dfg_angle, 'ro')\n", "plot_segments(lifetimes_2, trajectory, dfg_angle, 'bo')" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[40]\n" ] } ], "source": [ "print(lifetimes_1.n_frames)" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[ 169 2891]\n" ] } ], "source": [ "print(lifetimes_2.n_frames)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Transition duration\n", "\n", "One of the main ideas of path sampling is that, instead of running for the entire lifetime of a state in order to see a transition, we focus on what happens while the trajectory is in the no-man's land during the transition from one state to the other. Since this transition duration is usually orders of magnitude shorter than the lifetime, we can sample many transition events for much less computational cost. This effective increases the timescale accessible to simulation.\n", "\n", "One of the important quantities for path sampling is therefore the transition duration. Ideally, the number of frames in the average transition is at least 50 or so. An average transition duration of 1000 or more might suggest that saving frames less frequently would be good way to save disk space.\n", "\n", "This data comes from Folding@Home, and the frames are saved infrequently. Still, a committor analysis can be used on one of the transition frames in order to generate an initial path for path sampling." ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": true }, "outputs": [], "source": [ "transitions_1_to_2 = analyzer.transition_segments[(state_1, state_2)]\n", "transitions_2_to_1 = analyzer.transition_segments[(state_2, state_1)]" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "image/png": 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syQaeWXAiNPpOb+idLh8BHDp0CIC2eyVWOtauXQuAZq/YgbgD3rdvn8v58/77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\n9zmICCIeAjFgPLEqorZeQWysifHSoFYjaryhNeIlS0vsSqm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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(dfg_angle(trajectory), 'k')\n", "plot_segments(transitions_1_to_2, trajectory, dfg_angle, 'mo')\n", "plot_segments(transitions_2_to_1, trajectory, dfg_angle, 'yo')" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Transition duration: [4 5] [7 0]\n" ] } ], "source": [ "print(\"Transition duration:\", transitions_1_to_2.n_frames, transitions_2_to_1.n_frames)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that the second transition from 2 to 1 doesn't have *any* frames in the no-man's land!" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Fluxes\n", "\n", "Another quantity of interest in path sampling (especially TIS) is the flux out of a state and through an interface. This is defined by calculating the lifetime in the state and the lifetime outside the interface. The reciprocal of the sum of these is the flux. For more, see [van Erp, PRL **98** 268301 (2007)](https://doi.org/10.1103/PhysRevLett.98.268301).\n", "\n", "If no interface is specified, the interface is treated as identical to the state. Another example will show how to use an interface explicitly." ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.095279779905\n" ] } ], "source": [ "# must set dt to calculate flux; here it in units of \"frames\"\n", "analyzer.dt = 1.0\n", "\n", "print(analyzer.flux(trajectory, state_2))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If we want to see the details of the frames inside the interface and outside the interface, the `analyze_flux` method returns a dictionary with keys `'in'` and `'out'`, connecting respectively to the inside and outside segements." ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [], "source": [ "flux_dict = analyzer.analyze_flux(trajectory, state_2)\n", "flux_in_2 = flux_dict['in']\n", "flux_out_2 = flux_dict['out']" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": 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G1atXL/GyOTu/ESqRWWBgIPLy8op0Hvbp8CHqoWZmZpb4sdnSwTAMU7bYvXu326nAXYmO\nzp07IyEhwePzb9u2DQMGDCjS+V1hP3yyYsUKt4/l61BZRYUWHd6ALR0MwzDe58Ybb3R72w4dOuCp\np55ya1tXogOAdVba7777Ds2aNXOrPRkwYABWr15dpPMDzgWC/VDM4MGD3ToHACxbtqxUfBArpOjQ\nWyNK2jLBlg6GYZiSIz8/39Ap0z67qD5VuBACc+fOxeHDhz0+3zfffINnnnnG5lhGTJo0CYcPH3ZL\ndLjjp6GYOXOmwzJngsmVoyhQeAd74sSJbperpKiQokP/INzN2e8uLDoYhmFKjtatWyMoKMjlNj//\n/DNatWpls+y5555Dp06dPD7fhx9+6DCHiStKWnR8+eWXDss2btxouG1hoqMwPvvss2LtXxQqvOjI\nzs4u0WOz6GAYhik53JnyvVOnToZD2xcuXEBSUpL1f0/nMTl69CiGDx9uuC4xMREA3HLkLK44cFZu\nV2LGZDKVybm/KrzoKGnYp4NhGMZ7qKno3UU/s6qndf+oUaMM/Sn086FMnToVf/31l+H+ly9fxsWL\nFw1DYz3h/PnzhstdiRklisoaFVJ0lPQEQXpKyyOYYRimIrB3716fncuZhUE/3cXrr7+ORo0aOWwj\npUR0dDSio6O9Vr7C5lZhS4cPOXr0qNN1hSVsKQ4sOhiGYbyHEKLIw+J33nmnx+dyd/mpU6cclnl7\nuN2ZBQQAvv/+exYdvqRx48alct6iJmphGIZhCkcIgfvuu69I+5pMJo+2d2ZJMBIddevWLVKZvMXs\n2bNLuwiGlFvRUVqw6GAYhvEefn5+2L59u8/O5cnysobR3C6lzbVx564hWHQwDMN4D08jULxxrmtF\ndDz33HOlXQQHro07dw0RGxtb2kVgGIYpt/hSdFzrlo6ySIW6c127dvX6Obp37+71czAMw1RUfNng\ne+JIak+fPn1KujjlggolOvr37+/1c3ByMIZhGO/hyfwixSErK8upwPn22299UobySIUSHb4wy5XF\nECWGYRjGM95++22nouPJJ5/0cWnKDyw6ShgWHQzDMOUDX/qPVBR8IjqEECOEEMeFENlCiEQhRLtC\ntn9YCHHQsv1vQoiiBWXb4YuxQBYdDMMw1z5CCHYY9QJev6NCiL4A5gKYAuAWAL8B+FoIYZgbVgiR\nAGAVgCUAbgawAcAGIUTz4pbFFy8Q+3QwDMNc+4wfPx4pKSmlXYxyhy9k3FgA70kpl0spDwF4CkAW\ngEedbD8GwJdSyjellIellFMA7AcwsrgFcWYqU+NzJWGlYEsHwzBM+cCdGW4Zz/Cq6BBCBAJoA+A7\ntUxSq7wNQIKT3RIs6/V87WJ7t3Fm6ViyahUadOyI67t0QYOOHTH6pZc8TperYNHBMAzDMMYEePn4\n0QD8AZy1W34WwI1O9qnlZPtanp68V69e2Lhxo/V/Q0tHVBQwbhxOxMcDQgBSYtHevfi+e3fs3rIF\nERERHp2TRQfDMAzDGFNaXjICgCets6fbAwA2bNhgexB70REWBowbByQkkOCgjWCOi8PBbt0w6bXX\nPD0l+3QwDMMwjBO8bem4AKAAQE275TXgaM1QnPFwewDA2LFjUaVKFZtl9snAHIZXqlQB4uMNj2du\n1w6bXn4ZC1yd1IB///3Xwz0YhmEYpmLgVdEhpcwTQuwD0AXAJgAQZG7oAuAtJ7vtNlh/t2W5U+bN\nm4fWrVs7LB8wYID1bwfRER6uWTjsEQJ5lSpBSmk4LGO0PDExEe+//76rYjIMwzBMhcXblg4AeBPA\nxxbxsQcUzRIKYBkACCGWA/hXSvmSZfsFALYLIZ4F8AWA/iBn1CeKWxAH8ZCRAUipCQ+7vwNzc232\nMZlMmDhrFjZv3468oCAE5uaiR+fOmDFhAiIiInDs2LHiFpFhGIZhyi1eFx1SyrWWnByvgIZNfgVw\nr5TyvGWTugDyddvvFkL0BzDD8nMUQC8p5R/FLYuD6EhLA7ZvB44fB5KTgeBgICcHiI2FaNwYPW+/\n3bqpyWRCQvfuONitG8zTpxs6nXL2Ooa5tnBmyWQYxjv4wtIBKeViAIudrLvTYNl6AOtL4tydOnXC\nzp07ARgMr2RmAu+8A4wdCwwdahUSSExE4Dvv4IXEROumE2fNIsERF6ftr5xOAUx67TUktGxZEkVm\nGMaLFGaxZCHCMN6jQuV4NYxeeeYZcibVRa8gIQFXn34ar86fb9108/btMLczzt5ubtcOm7Zv54qK\nYco4ymK5KDISJ6ZPx6nJk3Fi+nS8HRKC+m3bol5CQonk62EYxhifWDrKCg6WjshIp9EriI/HypEj\n8c4bb0BKibygoEKdThmGKdsYWiyzsyE3bcKlRx/Fpbi4EsnXwzCMMRXK0uEgOiIiXAqJLD8/q6k1\nMDeXhl6MMHA6ZRim7GFosVyzBnj4YaB9+xLL18MwxaVfv36lXQSvUKFEh4MoyMpyKSSQlWX9t0fn\nzvDbu9dwU7+9e9Hz9ttZdDBMGcapxTI5GShk6JRhfE15bU8qlOhwIDcX2LPHeF1SEkL8/KwPfsaE\nCYj54gv4JSZqQkVK+O3Zg5gvvsD0F1/kaZAZpgxjaLGUkqLW3MjXwzC+hEVHOcAhRXlODrB8OZCU\nZCMkkJQELF+O+rW06V4iIiKwe8sWdDtwABg0CBHPP4/6L7+MkWlp1jHf8vqSMEx5wcFiKQTVA/ZC\nRPc3D50ypYG33rnp06d75bjuUqEcSR16KyEhQKVKwA8/AOvWAUFBZP2IjgaCgpCel2ezeUREBJ4a\nOBCbV63Cc8OHY/LkyTbH5YqJYco2MyZMwPfdu+MgaOgEQgCxscBPPwF//VVovh6GYYpHhRIdDlSu\nDMyYAaxdC1y4oPVwatUCRo9GwZw5DjH76u/c3FyMfuklm1j/5tdfXxpXwTCMAUb5NpTFctJrr+Gt\nQYOA8HDUrVwZqdu2wTx6tG2+nqQkVFq82CZfD8MwxaNCiY6CggLbBRkZZO0YOpT+LyQNOqCJjg8+\n/xwXhg61yU76z549wLZtwMWLXr4ShmGMKCzxF0DCY8GMGXhr5kwAwIMTJmBRZCSgD6MFgPh45AmB\n1xctwoIZMwBwBlOGKS7lXnToKwgHn460NCAxkaa2p42twkNFpBgSFoZzQ4bYVlJCwNy+PfDss8DM\nmZTtlGEYn+HOVAX2+TaEEBRGO306RautWWMzxGKOjcVnf/wBKaVLIcMwpUHXrl3x1VdfOSyPi4vD\nHmdBEqVMuRcdehxER2YmMHcuMGIEcOKEVtmkpSEyLw8v/PCDwzGEEECVKo69IkVCAq1n0cEwPsWd\nqQqUxUJhDaPNzgamTKF8Hfohlp078e8332BRZKTbQoZhSgJ3Iqbatm1rKDq6dOlSZkVHhYpeMXyI\nFy8CixcDzZoBc+aQj8fChbjy2GO4p39/hzTIUkogPNxliB3Cw71QeoZhXOHOVAX2CCHgn52tJQhT\nGUlpJfDnn8Azz5CQ4cRhzDWCv7+/4fJbbrml1IcHWXSEhdGQSEKCW5WKn58f+YK4SiqWkVHCJa+4\ncH4Exh3cnarA6H2KDA4G9u0zThCWnOzUqsmJw3xDgwYNSrsIXsfeWtGkSROP9h83bpzN/86ExQMP\nPOBZwbxAhRIdDo6kAA2FOJl/xahSEUIAaWkQSUnGJ9m9m3xFmCJjMpkw+qWX0KBjR558i3GLok5V\nIITAZZV52L6iNps5cVgZoF69eqVdBK9z77332vyvf0+PHTvmdD+13T333GOzvFIZngusQokOB58O\noNChEvtKRQgBZGYi6uOP4bdnj2120qQk4M032Z+jGDibBXRRZCQSundn4cE4xZ2pCuyRUsIcFkb5\netTUBx99BIwbB7z8MpCaynMulTLORF1pJ7nyJu5mt9bfm/vvv9/6d2BgoPXvoSo604DatWt7Xrhi\nUqFER9OmTR0XFjJU4qxSGdajB0ampQGDBgHDh6P+yy/jwUOHnIbL/vLLL8UpeoXBxhmQx9AZD7BO\nVWDfGdBNVWDfgFktJC1bAjt3kjNpixaaf9dtt1GGYgNcRrgxXkFfF9etW7fIx/n555/d3taZf0RJ\nMXz4cIdlQggb4dGyZUuXx7Bvox588EHr348++mgxS1iyVCjRUbNmTdSvX9/6f5cuXYCrV51XKnv2\nOFQq6uEGBgaSJ3xqKnDkCI7v3InRw4Y5PfecOXOKXf6KQFGcAcsKbGYvXVTiL/vOwJPnzqFTXBxu\n6trVZrgOoO+5R+fOEI0bA8uWAb172zqT9u0LrF9Pw6ZOhExFx9vvvYOluQTo0KEDTpw4gaNHjxa6\n7UMPPVQi53TGbbfd5rBMCIG5c+di4sSJbvu06O9No0aNrH4ezqwm0dHRRSht8alQogOwfTDN2rWj\ncNn16x3nX9m9G5HLltlUKiaTCYs+/hioXRtvff01GnTsSI6oULs5cVStXRubDh1i34RCKI4zYGnB\n/idlC5X4S3UGfv/yS+zYuxdLqld3GK5DVBSklJgxYQKaffMN+W/YO42GhgLTpgGHDgFDhqCywZxL\nFRFfvvf6770kv/169eqhcePGJXa8ohIQ4Ji5wmw2o0aNGpg+fXqRhJa/v7/VnUAvOvT374MPPihC\naYtPhcrToefixYto06MHMH06VTRr19rOv9KiBcKrVLFWKsrX4I/77weGDUOGEMiQkpKLzZ0Lk8nk\n+EFERdHYcHw8soXACY7vd4mNM6DRh1bGxtCLkoyK8S3Pv/IKUu67zzGRX1wc8OyzkJbhOnNBAeDv\n7/je6ROGRURAZGWhx913Y/qLL1bYZ+vr974sdTKcccsttyAuLg7vvfee4fqgoCDk5uYarktQySl1\n2F9zUe5B3759MW/ePNx4440e7+tNKpylQ1G1alWtVx0aSgmB5swBXn2Vfg8bhoLQUKtaVL4Gsn17\n2zj+hATg2WcdfQ3CwkhwuBmKyxBFcQYsLdj/pOyz9LPPgPbtjVcmJEBWroyJs2bhyH33ASaTrX9X\nVpatj8eiRUh7++0K79Ts6/e+NEVHgwYN3OrkCCEQGRnpdL2ra7jeYM4ue9FmtP+2bdscygBo/irt\n27eHlBLVqlVzXvBSoNyLDv0Lo583waZXbe+x/swzwPPP48yJE7jhrrvQoGNHLNuwwamvAeLjsWn7\ndtsXw8NQXIZwxxmwrHAt+59UCEJDkVetmutEfmFh2Lx9O+SffwJNmwJ6wbtmjaOPB4tKn7z3zhpp\nb/h3OCMsLAyJLib7u+mmm6x/R0VFWVMyeJpjwwh99IkzQkJC0KlTJwBAw4YNEWYZ6jcMmHDC119/\njb59+xatkEWk3IsOVwqzR+fOwPbttr2ZiROBgACgd28UfPghjQG/+ipMYWG2lZedUDl5+jTe+ugj\nAMCmTZsQVa/eNeWbUFbQOwNWGTkSGD4cNZ97rsyNoV+L/icVjshIyrXhKpGfyUTPMTkZGD2ahlh/\n+om+7Z9+4sRgdnjzvXfmJ5Kfn2/dRt9rL+wcnTp18qgBtqdt27aoUaOGU3Gjj0hcuXKlVXS8//77\nDtt6KpDcvX/33nsvcnJy0KhRIyxevBiLFy926SAaGRlpU5bY2FiMHz/eo7IVlwrl02H/IGdMmICF\nDRsCzz2nVS5r1gB9+thWNn5+WuUlBHDhAvDii8Bjj1nnaSiQEpv27AGiolCvXj2E6Ld3LEiZ8k0o\ni0gp6f5Zfspa410U/xOeodTHhIcDsbFkvTASD4mJEBkZCMjJISfSsDDghRfo2370UUqB7kbjWpGe\naUn7Xan758pPJOjUKev2e/bssTp/Vq1a1eWxGzVqhB07dhT5+RSWKyMwMBAjR45EQUEBqlevbhVH\nISEhbp/DPimYwr6+U2IrLCwMmXZ5oIKCgqzbPP300y7PN2LECMyePdvt8nmDcm/pcDY1PWAZN6tU\nybZCSk42ToccGwvs2UMWjhdeAJ54wtFfwzLL7LwlS3BP+/bkZGpAWfNNKEvok4OlLVoEvP8+zs6d\nWybH0d3xP+HoFt9iU1lnZFAHYt06x+i07duBefMgw8Jw6t9/KYuwlORQ/thjQIcOQE6OrZXE7u+K\n2nEort+V0TfRqWdPp34i2f/5jzVKsFGjRjCbzdiyZQu6du1aItfz008/YcmSJY7XYhEdRs/4+eef\nBwAsXLhK4EU8AAAgAElEQVQQixcvBqBlvDbK6+FOhtDjx4/j999/B+CYtGvdunX473//izNnzuDx\nxx8v9FjOCAgIQLNmzQAUL89JcahQlg57rJO3qQmfDhwA8vKMFXzfvjQM8913QEiIy1lmt02YgO+W\nL8fSDh1s53WREn5795JvwpYt3r24a5SizBRaWsyYMAHfd++Og1JqlaXuGb+wejVHt/gAk8mEibNm\n2Uw9j7AwIC0NfikpME+bZhudlpUFXL5MuTzWrUP+o48Cn3wCfPstdRRUbzE2FtixAzh2zGa6e8TG\nQjRqVGY7Dmaz2e2MlkXB+t6Dhpk8qducWTQwapRxZw8g3zjdzN1CCHTr1g15eXkuy+muILz11ltx\n66234oknnrBZrsSD0XHeeOMNh2WuREfdunVx8OBBl2VUOaS2bt2KDh062GxXs2ZNq+9F8+bNAQBV\nqlRxek2uePDBB3Hs2DE0bNiwSPsXlwotOjIyMqg3NHky9YiGDqWhFiPTYWgoMHUqVUh16zo3uwLI\nDwqixuTiRWDmTPpgwsNRv3p19OzcGdO5sXHK5u3bqTIywNyuHTa9/DIW+LhMzlD+J+OmTsWSQYMQ\nHB2NWhER1mfsVEC1a1fmBNS1itNGLDERmDMHN27ejMMAzEOG0DqzGXj9daBrV0oG9swzFN0SG0s5\ne264Qfu277oLeP55YOxYbbp7s5ksngsWYEQZ8ulITU3FfQMHIuXvvyHDwyEyMtCiXj18uXJliae6\nVu/9pNdew1uDBnlUtxl+EwDVka4cfg1m7i5MVHTs2LHQa9HTq1cvbNy40fq/p8LNlejQW+Buv/12\n/Pjjj06Pc99997k8z+jRo9GmTRu0aNHCo/LpKS3BAVQA0WFvQhozZgxGjx4NAHhm0iR62dWU1oDL\nMWCRnIxKkZHIPX3aVpjoY/mDg3H+9Gm8/PrrtC4z06rQjx8+7J2LLCdIKZFbqZLLyic3MLBMjaNH\nRERg5oQJWPLmm7ijVSts3brVus5GQNm9I+acHHxkMlXofA8lgTNhh4QEYNw4dL50CXenpVkbxzCz\nGVcLCpB36RLl0YmLo2fz2WdkBcnP177tt94iwdGyJQkUnbVDtmyJhx57DAd27Ci1a1ekpqaiYXw8\nckeM0CJtpMTvSUloGB+PvxITvSI8FsyYgbdmzgTgft1m2KkQQhvKcuIn4unM3XFxcXjsscc82mfD\nhg1o3LixdYI15Tvibl3jSnToiY6OxrJlyzB06NAiJ/4yymJ6rVDufTreffddayiRlBKjRo2yqs5P\ntmyhikZfYfXtazgG7LdnD5pv3Qq/jAzb0Dr7WP4ZM1Dw4Yf4qHZtqtRKAF87UXp6vpJIZAPQx51x\n9qzLaIOMs2fLjOBQ6MOwFTZe/gbvCObMgWnYsDLnp3Kt4Sp8EwkJ+Cox0SZDqd/Vq8gLDgbOn6cO\nR3Y2PZvz54HKlSlyTU2LcOEC0LAhRbU0a6Y9u9mzgS5dkHzsWJl4dvcNHEiCwz6HUHw8cp9+GvcP\nHFi6BbTgMvJFdfaMSExEpZwc7LVb78oSYR+l4UkZAWDnzp0eT12hRIdRhlF9KnU/Pz/06NEDgPfD\nfssiXhUdQoiqQoiVQog0IcRlIcQHQoiwQvb5UQhh1v0UCCEWF7UMERERhg5HUkrkVapEwyb6B6/S\nHh88SKbVkSNt0h6LwEAttC4piXqvylJi5wCFESMobK92baBJE4+cCEvSAdEdEeDp+ey3rxcfj1Z3\n3IF6CQnFK29+PpmvjUhKovVlBHUPbuneHWjaFD8cPmy9ZhsvfyfvCBISKnS+h+LicfhmaChMaqbp\niAjqXatnc+kSJQfLywM+/ZTmWgkJoUiWJ54AWrUia4fK5bN2LRAbi+enTvXFpbok5e+/nfuYxccj\n5Z9/fFsgJ9h8E/b07Uv31GCOm+DFi9G/Rw+0bdvWZhc/Pz/k5OQYnquoHZ/169dj3Lhx6NixozUq\nRAmDP//80+W+I0eORI0aNXDDDTfYLL/zzjvx6quvWv/XzwZbEfH28MoqADUBdAFQCcAyAO8BGORi\nHwngfQAvA1C1SVZJF0xKSb0cI7OeylAqJUKffBLHd+607hMSFYWssDASJmvXUiy/0dTBWVnApk3k\nHHXxIhAcjBM5OVi4bx++7doVe776yqlZvSTSDOud665WqoRKV6+iR+fOmDFhgsO+np7PYfvsbGDy\nZPzTtauNeddTh0kpJcJr1YLp009pge5Y2LMHWL8e4bVqFXl4pSSHZWzuwcyZgBDItrvmHp07Y9He\nvTAnJxu/Iyh7firXEkII+Gdnux++WbkyRau1a0fRK507A/v2AUOGABs2kKANDNS+7cuXyVoZG0vW\nkIcf1nw7LO/k0kWLMHvq1FIbIjObzZDh4S6Fl9mSWdmbzqXuYv0mjOa46dkTrb75Bn+vXIkreXmo\nERaGfvfdhx3Vq1sFgD3OlhdVdNx88824+eabi3TMdu3a4ezZsw7LK1WqZFPvDBkyBBcts5GzpaME\nEUI0A3AvgMeklL9IKXcBGAWgnxCiViG7Z0kpz0spz1l+PBvQcwM/Pz/q1URHOzfr7d6NulWqWHu0\n9RMScPHUKU2Jm83kJa9/cdS6FStoBtu77rIxqaNLFxy6cgXjp01zWjY1X0RR0wybTCbEde2Khfv2\n4URODlKvXrUKnriuXR2sD56mNXbYXuU2sTPvepq5UQiBoIICcthVlqaJE+n3wYPA1KkIKijw6EP1\nVsiqO/dsxoQJaLZlC+V54SRiJY7JZELGpUu2s0Tr7+Pu3VqESWgoCY7gYOpV5+UBavZOPz/qfFSr\nBpw9SxaOoUNp6LVKFRIg9pYqAGjfHnlPP12qlio/Pz+IjAyXQ5IiM7NMCA5Al3FYDV+rJIsjRyJg\n3TpczslBs9q1gSNH8MG0aVgwYwZdo4eNs5q+oiQoijBYtWoV7rzzTgDXxtwxvsSblo4EAJellP/T\nLdsGsmS0B7DRcC9ioBBiMIAzADYDeFVKmV3cAtk//BYNG5Jp8uOPSUCoRlN5v8+fj5gOHWiit7vu\ngszPp7HdHTuAzZupIkpJIUfRtWttw+rOnQNGjnSYaApxcYDZjJVLl+IdgzFDk8lE80U4mQHQnZ7x\n81On4tCVK0CvXtSrU9e0dy8Offwxxk+bZnNuTyNGHLYvgZ68skL06NwZi1JSYFbH0/Vi/fbs8ShM\n0ZsTU7l1z2bMQOIXX6BO+/YwcaK4EmfirFm4PGgQfXs//EA+GOr7i4oC9u3D9BMnaOMqVUh4ZGbS\nOxURAbz7Lm2XmUl5Oho3BqpWpW8/Ph6oVYuOpd5vO2dgFT674fDhUo1CalGvHn5PSjKediExEbH1\n6vm+UE5QkS9PPf88Vs2fD+HvDzliBDB0KPKFwD9S4mRSErB/P7KyyMBdFAulvq5/6aWXMNPi8Foc\nPBEP/fv3xx133IHrrrvO5X4V8bv3pvytBeCcfoGUsgDAJcs6Z6wEDb/cDmAmgMEAPilOQZw92G/W\nrEGAyUSVy5IlwOOPk1B44glg/nzg/Hn8cfIkTfR26BDQowdVUosXa3My3HgjMH68rZPg7NnkkOZs\nnLV9e2QVFNi8jKpHXrt1a8f5IvQvrRs941WbNwOPPOLoQxAXBwwejJWbNukO7dm4uEOESWYmCbYi\n9OSN/EK+37EDfgsXamO7KgdAEeZeKa7FyBlms9ntexYREYGhDzzAieLcxJOKffP27ZCtW9NzuOMO\nW4vinXcC/v54/pVXcEP79jS0kplJFo558yg09vHHSTgsWECiIjUVOHwYePttGn45e5a+az8/zeHU\nzhkYLVog9fRppKene++mFMKXK1ciaPFiB38I7N6NoHfewdaVK0utbHrUs42IiMCEkSMBkwly5EiH\nJIsyPh549ll8smFDsc8FANOnTzfMkeEuRRUGKorF6J2uyNYPjy0dQohZAF5wsYkEEOPqEJZtjHeW\nUt/FTxFCnAGwTQjRQEp53Nl+Y8eOdUiW0r9/f/Tv3x9vvPEGQkJCHMLGateujS1Ll6Jrv37U8wkJ\nAS5eREBwMAKqVEFOUBCOXrxIFc2iRVQh9elDpn4lKPLzKcmQvUXDftjF5g4I6nVZsOmRV65MjbiR\n9SQ2FujTx2XPWEqJrIIC14JnyRJr78HTtMYZGRm48M8/tH12Ng2F5OV5nBY5NTUVLbt0waVHHgF0\nfiF48EG6znXrgPXrASEQcPEiHu/dG294YJkoCYuR/fH0CajOnDjh9jXPmDABCxs0cCtRXFkKB/YV\nRsm9nPkfKaxiee1aGi6x//5uugmIjsZ7UVFAo0bArl00db2UwJEjQPXqQJculHl0xAhgzBgy8998\nM9CpE/ljNWlCPzt20HDpQw8ZWi7zCwrw8uuvl5q1o3bt2vgrMRH3DxyI3955B4iIQEBODlrccAO2\neiFc1hOc+ZYNeuABsj7ZzwCssyZ9mZuLBh07IuPyZdziIhGYyWRC//79sWXLFjRr1gyHDh2yadSF\nEGjWrBkqV66M9PR0B0fPwpgxYwb8/f09zm3hSnToy+YLTp06hYCAAKxevRqrV6+2WZeWluaTMiiK\nMrwyB8BHhWzzF2hopIZ+oRDCH0BVAI7eNs5JAgmVxgCcio558+ahdevWhusaNGiA5cuXG66rXr06\ncOUK/URFASNHIn/LFuT36QM0b06e6mvWkOWiTx8arti4kSqcCxdoPNk+370QhTbEoTrfBKt/gDp2\nvXpkPRkyxNZxbe9eYPx4dC0keYxDRI592XSCB3Dh3AXHnvjEWbOQ17gxlSUlRRticpLbxKgnbzKZ\n0PKOO3Dp0Ue1Ssd+zhvd8Ip5zx5USk/3aCjkpZkzC51h1N25MwyHaT76iJ69gUnb/prtE8XZJxED\ngNEvveRRo1tWKK5IKuoQmFUs2w/tqUZrxw6yWN50E1kuWrQg4f7HH+THFRysfVdhYSReQkPpm+7U\niRxLx4whIVynDokWu4yVlhtAs0yXsjNw7dq18b/vv7f6buSVgZ608i07FB5O9x4AcnKw8JdfsOWb\nbyjhl/7dUaHlFoddsxA4YTYDSUn47KOPMM9kMnwXwsPDsXnzZrzwwgvo378/brnlFsOG/vjx4zhx\n4oQ1/4a71K1bF0uXLvVoH0ALnVVl6dGjBzZv3gxAC/eNjIz0+LhFQQlP1RHXs3//frRp08Yn5QCK\nIDqklBcBXCxsOyHEbgCRQohbdH4dXUACIsn5ng7cArKMnPa0rIVhMpkw+913aXgFoFDYQ4eo8VMe\n63l51KiazZp/RE4OWSLGj3eeSa9tWzKpJyQ4rktMxMDu3a3/Wv0D1LEBY+tJXBxZVq5ccXpNQgiE\nFhS49CEItXPGnP7ii/i+Rw8cNJtp/hhBmRf9fvnFpiduMpmwbMMGGj6aOpWsE0OHavdKStuIk8RE\nxHz1lUNa5ImzZuFSYKDjnDdGfiGW4ZCNkyZ5VKlv+ekn20n6DO5DYRYjB1Fon89FXXN8vEvrhRVL\noriucXH4/PPPAXjX78RbFMUy4YyipL1X579w7hyFpKtnqG+0kpNJcLz4InUYHn+cUm0/9hjw3/9q\nUWtr19K+Bw7QEIw6lhIl+fk08dv119uex86343xWFtLT01G5cuUi3NHiYzKZ8NLMmRSeHx6OBh07\nlrpwtfEta9FCs9xevozjFy4ABQW236cKX46NtU3Glp2Ny/XrO/ii2fP6669bU6MbpQivVq2azSy1\nRcHPz89tJ1Vl6VDbf/bZZ7h69aq1LMuXL0fPnj2LVZ5rEa/5dEgpDwH4GsASIUQ7IURHAAsBrJZS\nngEAIURtIcRBIURby/8NhRCThBCthRD1hBA9AXwMYLuUMrkky6cq+zXXX08fatWq1HioCd/UB6DG\njPWVW2wsZSsMDdUmirJn4ECK99+1y2acVezejZitW/HGyy+r+2TrHxAbC/z+u7FTGEAJj3btcnlt\nA7p1M/YhsIzzDrQkpFL+FDG9eiE9Jwd1Vq0C+veHGDYM/mPGIGzZMnSyNAYmkwnx3brBFBZGPcOp\nUym8UFlO9LlNLBEnYcuXY9fmzQ6V3obvv7cVa1Jqlbwe5dn+3HM4aTK5HXlivaeFJBwyssDofUzq\nd+iA0S+9hI0//OCYgEpd86FDZJEaPhzBTzxhzefiqqLXCx1PI4dKG/2EfCemT8epyZNxYvr0Ik/I\n5yq5l9H08frzZ8yfT5YJ9X2pb7ZdO3qfVq0i0RAaCmzZQpbMe+8lHw0VtXbgAH3j/v5Abi69c4CW\nw6NWLdpWCVgnid4yH3kEHXr0cOv6S3o8X92TxVWr0jDQe+8V65mUFFbfsthYshjFxNA9mz2bvuuY\nGNt6KjmZ7uuUKeTUGxtLzyEkBEhNxXsrVyI1NdXlOQMDA7Fy5Up89FFhxviikZycjE9VSH8hqO9c\nPe+AgACE6qzMgwcPLvL8Kdcy3s7TMQDA26CoFTOATwGM0a0PBNAUgHoSVwHcZdkmDMBJAOsAlPhg\nqars5W+/Ad27kw8BoDV+qufdsCHw448UTqdUeY8eND5fty4lFDIaWggNpfkdFiwgL/mICPhlZyO2\nXj18uWaNtVFy8Kno04dyBxRjWGD25Mn46f77cQiAvOkmYOVK+rilBEJC8ElBAf77+ee4csMNwGmL\nASkoiATUmDGQ8fEoEAImKbFk717s7N4dneLicKh7d6qIlUnaz08rt8ptAlgbgeqTJjn0/NLT03E6\nM5PCF9W+ysKj7/UYmVpdWAD098N6T/v0IXFkb4FJSkLg4sWY/scf1v1Vxf3HXXdBNm5Mzz8oCAs3\nbqRkMUb3OjQUGDaM7u2RI+h0110ej+uXtblmChsuKckJ+TxxYnZqdUpI0Ia51DebnU1OoKqBKigg\ncaE6Dm3bkrBfsoSEc79+5NeRkAD8/DMdLzaWvsNKlUgg2w8pGqRdP+jv7/T6S9I6ZI8nz6QkfIbc\nOYaNb9kHH5DjvepIKUvRuXPklA9QqnmzmawhPXuST41dXhSZlISWXbrgxJ49Lu/ZgAEDinV9roiJ\niUFMjCuXRY3AwEAAQJcuXbxWnmsRr4oOKeUVuEgEJqX8G4C/7v9/QVErXsda2X/4IZlfVQ8nO5te\nfiU+Nm+mtOenTlHj0qoV8NprQM2aWvjd2rWODduOHcDy5TShlOVjMwNI3rsX9/Tvb9No2vhUhIXZ\nNsj2uBFiGRERgaStWzF+2jS8O2wYOc0NH24tX+b77wP79wNnzmjLly0jHxa9Y5eu4vpn2TKYFy2y\n9d9wNk+NEDbhraqSMplMuLVXL+RLqe0bG0sV0OXLtsNR+iyeBuWZ9NprmP7ii04rcmvorf0Mo7m5\nQHQ0Huvb16bimjhrFgmOzz+n+2U5H4KDIa9ccfk8jOaFkFIiIyPDWj40bUrbpaVZTcBOG12dGHPX\n76Q4pKenY9Jrr7nVIJakSPLUidl6/pdeop5ycjKJBjWUFhxMvjPjx9P3XKcOPe9Ll8iSoYZF//yT\nts/I0EJmr14loTJsGDkw33YbWUkqV6b9lIBVQ4oeXL+3h9AKeyYbJkyAlLJYgseZaHKJ8i375Rca\n3gLIMvXCC/S/EogrVpDfTdWq9EwBY2EXH49LUl4zEyUGBgbi4sWLPvPbuFYo9xO+GWGt7AGqtA4c\noIZ+716qnPbs0XreycnAK6/QWPCKFTS1fe/e1Iip0NGePWloQd+wCUHht3be2Ua9D4epolu2pDLY\ne3bDvRBLVUGs3LSJvPHvusv2A05MJK/8Ll205a5ybbRti6xPPqFr0vsyqIrYPsfJ7t1o+sUXyO3Q\nAQ06dkReUBD8s7JgunQJlwsKyFGvcWMyf+flkQm2e3eyHgG2vVaj8lgq0u927nRakX+9ahW+HzCA\n/FR0M4wqP5U3pkyxOebm7dsh69WjZ9eli21+k9dec+qf47d3L8wW7++8vDyrQ2iuvz8unDiBvP/8\nh6JzdH4u299/32ryTj9zRosEMsgB4Z+V5RXBod6Rjd9/j9TTp5H/1FM25TRqEL0xIZ8nTsxSSuT6\n+9M7p+8Fnz9Py9LSqEFr0gT491/aKSODLBXnzgG3307Dov36Ab/9Rs80JoZmlh4+nITMpEkU7fLc\nc/R95+aSAElOpnNMmuSxFbIkrUN6lB/HyfR052XKzkbq6dNYFBlZrOzGzkQToqJI6DncCoGQggJk\nmM3aMGxWlnav1bcUGkrrx4wBfv0VOHqU6mMn335ZcNr1hOL6kJRHykaaOh9j08PKzKQxw9BQ6hFn\nZJAvRnQ0mVmDg2mnkBCqdI4eJVEA0EfUsSM1FjExNFY5fTr9zs52GrZqP1atEuaMTEtD1JgxwM6d\nEPPnG/qD3Lh5M6a/+KLTcWH9mLdJRU3ox8yVdebCBW25M58KdQ4/P7pWKTVfhj/+IPHh709maotf\nAwYNAmbMgPDzw5Lq1a3j/v9cfz0uBwTQMFXfvsDnn1PZBg8mwbJlC/DkkxSW/Nxz1PPUl8cuV8nF\ntDRHX4jsbJhTUpBy8SJu7NULptxc3LB2LZVp+HBg8GBDnwurCE1MNM5vMmYMCU6DeSFivvjCOovw\nz0ePYmFEBE5Mn47TDRogb8QIGydTZYY3Pfkkxk+bRuPt119PVjGjHBAxMchISyvxMXn9O/LPjTci\nXw0tFOJT4o0J+awZKvfsMby3+rwsQghknDmj5cgRlgiyCRNIhJjN9J2eP09DKbGx9L5mZ5O4rVOH\nOgft2tHvSpVoCCUigvw6wsK0fBzBwfTeN21KTqRvv02dEvUdOLl+vWVGfaNO/VakNPRbcQe9H0eB\nsozqjmtlzRrkP/VUsXyGXPkd4dln6b4ZlC8gP5++KXXPVqygZ2Tvr6Z8OQ4dIuur/bevR3AG32ud\nCmnpACw9rF9+gVkI6iG1aUM9nM8/J8vGypWUmyMsjBwjQ0JoXVQUhdFmZtKwzKBB9LH88INm6cjJ\nMU59bWA215vg84KCYC4oAK5cgaxenczGasrt3FzIKlVw+swZxN5zDwpCQgzNpDbhtxs2aD4TgOYn\nERJiKzL0PhVOetwhQiBz507IP/+0+jtYJ18LDqbeSno63UshcLhHD61nl5VFY+VjxpCwCwkhkXb1\nqmbNUZaNW2+l7UeMcJmrJCc317Yit/MByRQCmZbGC7NnW8f3jXqUGRkZuKLG/42EYmgo8MYbJIre\nfhsBkZGoW7WqNeS1cuXKQHQ08kePtr2ePn20YQB9+R9+GCuffRaZjz9O/48aRcc2MCdfEaLEzcnW\ndyQ2loYXPRkuUBPyGVjhijIhnxLck157zTr9fP3q1a331qEXrk+6l5VFlo0nnyTLRWCgFoGSk0MW\nqy++oH2CgsiyVrMm7RsURP5M1aqRJUT5dK1YQT4gKqfH6NH088gjtK5hQ5dWyK4JCTbhzwE5Obig\nb0RLKPLFRgikpAA7d9Kwkf279ssvxc4W7Gr4BgkJdP8Mypc2eDANVRUU0D3bvZsEnn1nIjiYvvN+\n/ejeFDLNPWfwvbapsKJDDWmkNGhAH2vDhtRIp6fTCx8QQB/I+fPUCzpyhD4aIch8268fhd6FhJB1\nY+1azZNeCDLLFmI2N5lM6NCjh2P+hzNnbIc+1HGmTMGVxx/HFReTqm384QfrBGTIzdX2F4LK0asX\nOXaFhNh+2M2akcjZssXWdJ2ZCbz1FjJycqi3pyZDMpvpekeOJMuPEgd16gBnz9oKgv/+lyr5uDiy\nkOzdSz1NFcFib2lZs4aeh7NcJc8/j+CqVZGpr3hWrnRM3pSdDfMff2gRCJboFL1IUz3GTCHonjir\nzMLC4F+tGgqSk9G4cmUctEwCqNahZk06d1YWXW9Wlu0wgHoP9u0D9u2DKTdXG8KpUsW5VSwurkTN\nySrs2Tx7NkUU6MNE7bEbLvDWhHwRERFYMGMG3rKkqj5++LDhdlJKhNesCZP+PQkJoXK8+y5Qowa9\n82YzidrXXyer2fr19F1fvUqiKCuLvrGAALKI5OSQY2mbNtR5iIqi5xUYSM82IoIsnI89Rj5damhO\nd/0iMRFNt2zBdj8/Etz6IbVRo2y+YXsHyczERHTo0cMj3w4bIXDXXSS+xoyx/VYSE+l78XA4yP6e\nF+bsi/Bwh2Ns3r4dcvp0uqeTJlGdYzbTPbCvFy9fpmcwdCh9xzk5TnPgGEWdMdcWFXJ4BdB6WH3q\n16eG9cMPqTJSibkaN6YKrEYNalyrVqXKJzBQG5qIiaGPQ0Vu6E3j9etTI25vNn/lFeDMGfx75gyu\ni4tDSteumtkyK4sqCv3QB6AJht69XU6qJqXExbw82/Bb/YR2yckksJo0oYpVLc/KIhGwdKmt6VpZ\nD7p0oXHt6Gj6e84cSv8+ahTlQpg6VbvGN96wzWmgzqsytPbtS42ycuxTwkcN+6jta9bUcpXoLTJx\nccCgQRDKZHvhApl4d+yw7X1mZmr3fuFCapRWrHAII1Q9RuTn09CavdlWZ/IPLSiwFMOuAq5cmYSD\nalRiY+ndUfdSLW/enMqycCGJM9U4uBI7JWhOtgl7XruWLDEqFNQIu16lNybk8wQhBIKuXtXKe+CA\n1su2+Ozgxhvpndi3j55n+/bU087IoPc3IID8Oq6/XnMSbdGCtunenSyUV67Q+5ORQT/qu1SNYJMm\nwHvvadMmPPUUQpcsQYC/Pw7ef7/DMATatKF6Qu8crV+fkOBReLSNEFDidswYh7oBCQlahJnxgQq1\nGricjt5yDGRk2BzDpnyhocDYseTMqzpd9sOJnTpROQHNUXf9erpnuu8Pu3dDLFyIV19wlRCbKetU\nWNEBkPCY/Oyz5FuQnk696uuuo8buzz/pI6lSRfPrSE8nc6wlYQ0OHgQ++UQLR1Xs2oWm6emounKl\nYyM+dSrQpQvMH32ErNBQ2zCyyZNJ2Oh7/SpXxU8/FeojIoRAzqVLWln69iVLzdKllA1TZXAcO5Yc\n6z7+mMq+Zg1ZbqKitN66ZeZHq/VA7++QnU1Wn7g444pUiQlAa1RVhlbF5ctaBMuFC9TzVPcxOJh8\nO8Gzy0AAACAASURBVOx7Oqpca9ci4/Jl4Ntv6Vqio0mkZGfT+nHjqBL+v/9zqOD1Is3a62/bliwx\n7dtrY9DqOJMm0e9Zs/Dw3Xc73HspJT0zlddB3QuV/EwJt//7P61RyM4m074SXPr75XiCEjMnT5w1\nCwfvvpvut8pH4yKXiZHTco/OneGXkqKJ7OnT6ffQofBLSfF6L7RH587w27tXe6/UvQsNpWs5fZqG\nSR95hERFdjYN+QUHkyjJyyOrpSVRG2JjSUSkpVGkWlgYHU/l91i4kL77mjWpnhg9mix7H35IP2+9\nBQwciMzsbCRfumTcO+/bl/zE9u2z7Uzo8MS3w0YI6K09RrRpU+x5f6z33Ijdu+neOSufqvPCw0nA\nVa5M901fL/brR+8kQM+nUyfDvD84dAh+QUGlloCNKRkqtOgAdL3W8HCqMA4dot+qF5WbSxVXUBA5\nnqWnaw1Mv37kL3DoEH0UL71Ev7dvx50dOyKsWjXbysA+DFQ/vKGGPi5e1CpS1WA1b04JzArpDZvN\nZgQHBWmNSGgolSkvjyqf9HSqfMPCSITcfDM5gf74I+UusMw9g9GjabhFJUxTDaJqRCdO1DzSDxyg\nHou+kb58mXopWVkUipuaqlV+6r517EjWpHXraJ/ISBozT0rS7rf+evVJmVq1Av7zHxJNI0dSmfPy\nSLS1aEHWpIICpwnWzO3aYcN332m9fiUIhwyh8j3/PN1zveXqjjuwe/9+4/dHNV6qUZFSM9FPmkS9\nPH1Z1qwhB0X1nDxs+IvK5u3bySenSRPN56hvX3oGBr1Kown2HBw/LdaaokzIVxSs59+719ZvITOT\nLBXHjtH7dvPN9L6vWUPPNSSE3g0h6P2/dIlCoxs2JL8ps5meX14efTdVqpBV5OBBehfz8mgI44kn\nbJ1u/fzonGPGOM9OrJyvnfkpAB5btKxCwD6Tqj19+yLg3XcdHHVFUpLbz8uVsy/efNPqSG1YPjWF\nhLrvykFXXy+GhtIcOImJ2j3UW4+VsB02DMFRUexEeo3DokN9rEo9q1Ba1QDHxlLje/o0fQhXrlDP\nWt9rkdKmAkatWtj84484k5npOMyg9hGCjqWGCH76iawrTZtqQyJKpLRv71Zv2M/PD1FVqpDpXDUi\nmzdTpbt2LQ0HqQyqoaFUgX7wASU5y8kh64eqWOPjbS0uKuZ+zRoachKCei5q0jf9ENLChSQ2VON9\n2210btXba9GCKvH33gO6daMyDRtGAm7/fmo07KMk1PBSXBxVtLfeSiKwRQtqMAIDNUG3Zg3dQxcV\n/MW0NEp2ZhkysT6fFi20iBo7U/XhHj0MPfWRn0+Nl9pW+dOsWEH31X4OmORkEnaqse/Th/7WW8xK\nuCG3hrsmJ1MDqfyPnGSTjfjoIxsfA5Wt9aauXXFJSoR98AHdp+HDUf/ll93KxFoS6CO9cOoU0KAB\n3burV0lA16hBjdzatdSR2LePBG9mJgmss2fp79BQeteXLKHt1DfcqhWtz86md7lKFVofGOjcopCc\nXPg3GhoKf+XPYISHFq0ZEyag2ZYtNEypz8qqx+K0mi8lQj76CGLoUGDwYPg9+ihC162D6epVTJw1\ny2l0lH5WWHXPQ558Ehg+HDdMnEjPwCBcVpUv5osvSBDm5tL9joqi39dd5/htDhhAz1HViXrUtlIi\nKjCQnUivcSq86MjKytJ6pYD2EeXkUMPYqBFw/DiJgZo1yZSuGsTsbIpkUel91bT2MTE4deoUJcHS\n9x71jbiaEv6776gBCg3VGqPz56kXr4TNhQv0MbphJu11550QvXppjciOHdQTCwmhY2dnU0OnUD31\nyZOpEQ8O1syeKpnSsmWUeVVKavAvXKCKfP58qtj0plKAGuY2bbTGu29fmsiuRw/q5UydSj3RefNI\nFCkn06wsChN++mkq5549WjkPHKBt1D1V5vVp06jBycvTjpGUZOyroHsW1ugXf3/avm1bSub222+2\nviG6Y5jbtXPw1LcOr2zZopUrK4uu8+efSfDpy6Leg7AwrbHXhx4/9RTwn/+UeEMuhIDpzBm612Fh\n1LPUvwf6+5qTg4Z16gAgsfHUuHGIatECCytXpnDgV16B6b33KMLowgX8/uWXWDBjhlvlVA2Z+q1P\nPY+mTYHatd1OdQ8hyFcnOJiEwdGj9B5kZtK3NGUKicpVq+jYKSnaJGMZGfT+VK0K/P23Fi4bGEjv\n09Wr9C5euULbXr1qbMnQf9eFWKxi69Ur9lCHIiIiAolffIHw9HQqn/5bAWytpB9/jMy5cykibuRI\nmJcuReacOfhn5kwHHyf7qQDU1AMARX51btwYOHIEv23d6jKiKiIiArs2b0aYclgvKKB7qCzH6jtR\nFtJXX6Uh1qZNHa/FgkhMxAN33un2PWLKJhU2ekU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cxP3pT3Dlv8Gom+Dl1VDZGqbfD6+v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2dATUX78XRCTBoIFDyD5q0boZqsA7kKQoorBMup16iJ87KFdq1XMx1lfashWJA8NuVjgmXKY9a6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\nBwL3JAQQl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fd9BTYJ9HbH1bjvlglsEBgosDi4/iaBEwVmCyzPaYv+/bLAEvf/aIE6d92k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\nR+LfNaTotmuHm5P5CunFFYKcK+5WnxQVFSW0yWV9Zc2B4frekemVlGxh8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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(dfg_angle(trajectory), 'k')\n", "plot_segments(flux_in_2, trajectory, dfg_angle, 'bo')\n", "plot_segments(flux_out_2, trajectory, dfg_angle, 'co')" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "Note that the flux includes contributions in both positive and negative directions -- any time the trajectory leaves the state (and therefore the interface), it contributes." ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.7.10" }, "toc": { "base_numbering": 1, "nav_menu": {}, 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