{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Analyzing multi-temperature simulations with PyEMMA\n", "\n", "### Example: the 1D asymmetric double well potential\n", "\n", "In multi-temperature simulations, the bias energies usually are computed via the heat bath temperature difference from a reference and the potential energies of the simulated frames:\n", "\n", "$$b^{(i)}(\\mathbf{x}) = \\left( \\frac{1}{\\text{k}_\\text{B} T^{(i)}} - \\frac{1}{\\text{k}_\\text{B} T^{\\circ}} \\right) U(\\mathbf{x}).$$\n", "\n", "If the potential energies are stored in reduced form,\n", "\n", "$$u^{(j)}(\\mathbf{x}) = \\frac{U(\\mathbf{x})}{\\text{k}_\\text{B} T^{(j)}},$$\n", "\n", "the bias is computed via\n", "\n", "$$b^{(i)}(\\mathbf{x}) = \\left( \\frac{1}{\\text{k}_\\text{B} T^{(i)}} - \\frac{1}{\\text{k}_\\text{B} T^{\\circ}} \\right) \\text{k}_\\text{B} T^{(j)} u^{(j)}(\\mathbf{x}).$$" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "# Imports and matplotlib customization\n", "%matplotlib inline\n", "import matplotlib as mpl\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import pyemma\n", "mpl.rcParams['font.size'] = 12\n", "mpl.rcParams['axes.labelsize'] = 15\n", "mpl.rcParams['xtick.labelsize'] = 12\n", "mpl.rcParams['ytick.labelsize'] = 12\n", "mpl.rcParams['legend.fontsize'] = 10\n", "\n", "# Load precomputed simulation data\n", "data = np.load('data/adw_mt.npz', encoding='latin1')\n", "energy_trajs = [np.asarray(l, dtype=np.float64) for l in data['arr_0']]\n", "temp_trajs = [np.asarray(l, dtype=np.float64) for l in data['arr_1']]\n", "trajs = [np.asarray(l, dtype=np.float64).reshape((-1, 1)) for l in data['arr_2'].tolist()]\n", "centers = data['arr_3']\n", "reference = data['arr_4']" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Looking at the data\n", "\n", "We have a total of 14 independent trajectories: seven for each kT=1.0 and seven for kT=5.0. The left plot shows the time evolution for the target temperature, the right panel shows the trajectories for the high temperature.\n", "\n", "We can observe two issues: 1) the target temperature (unbiased) trajectories sample only the ranges $-1.5 \\leq x \\leq -1.0$ and $0.8 \\leq x \\leq 1.5$ well, and we have very few crossings between these ranges. 2) The high temperature trajectories sample the whole range well.\n", "\n", "Please note that while we have used a constant kT value for each simulation, the proedure would be the same with temperature changes within the trajectories." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot the biased and unbiased trajectories\n", "fig, axes = plt.subplots(1, 2, figsize=(14, 6), sharey=True)\n", "for t, traj in zip(temp_trajs, trajs):\n", " if np.all(t == 1.0):\n", " axes[0].plot(traj)\n", " else:\n", " axes[1].plot(traj)\n", "axes[0].set_ylabel(r\"$x$ / a.u.\")\n", "axes[0].set_title(r\"trajectories at kT=1.0\")\n", "axes[1].set_title(r\"trajectories at kT=5.0\")\n", "for ax in axes.flat:\n", " ax.set_xlabel(r\"time / steps\")\n", "fig.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Discretization\n", "\n", "We start by discretizing the loaded time series using predefined cluster centers." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "35492a1e70614aee9a9e96d2e1b2d37e", "version_major": 2, "version_minor": 0 }, "text/html": [ "

Failed to display Jupyter Widget of type HBox.

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\n", "

\n", " If you're reading this message in another frontend (for example, a static\n", " rendering on GitHub or NBViewer),\n", " it may mean that your frontend doesn't currently support widgets.\n", "

\n" ], "text/plain": [ "HBox(children=(HBox(children=(Label(value='getting output of AssignCenters'),), layout=Layout(max_width='35%', min_width='35%')), HBox(children=(IntProgress(value=0, max=14), HTML(value='')), layout=Layout(padding='0 0 0 20px'))), layout=Layout(display='flex', width='100%'))" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "\r" ] } ], "source": [ "dtrajs = pyemma.coordinates.assign_to_centers(data=trajs, centers=centers) # discrete trajectories\n", "dtrajs0 = [dtraj for t, dtraj in zip(temp_trajs, dtrajs) if np.all(t == 1.0)] # discrete trajectories for kT=1.0" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Implied timescales\n", "\n", "To get a first guess which lag time to use, we make an implied timescale plot: one with only the unbiased data and the standard MSM approach and one with all data and TRAM.\n", "\n", "For the MSM, we create an implied timescales (ITS) object which can be passed to a suitable plotting function.\n", "\n", "In case of TRAM (or dTRAM), we have to use the regular estimation API function with a list of lag times. The list of estimated MEMMs is then passed to a suitable plotting function. Please note that this approach takes considerably more time, but we do not discard the intermediate results and can use the MEMMs at all lag times later on." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "9f74fc7d2088413eaac40d6f0dac068d", "version_major": 2, "version_minor": 0 }, "text/html": [ "

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\n", " If you're reading this message in another frontend (for example, a static\n", " rendering on GitHub or NBViewer),\n", " it may mean that your frontend doesn't currently support widgets.\n", "

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\n", 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "lags = [1, 2, 3, 5, 7, 10]\n", "\n", "# MSM approach\n", "its = pyemma.msm.its(dtrajs0, lags=lags, nits=8, errors='bayes')\n", "pyemma.plots.plot_implied_timescales(its, marker='x')\n", "\n", "# TRAM approach\n", "tram = pyemma.thermo.estimate_multi_temperature(\n", " energy_trajs, temp_trajs, dtrajs,\n", " maxiter=25000, maxerr=1.0E-15, save_convergence_info=10,\n", " energy_unit='kT', temp_unit='kT', estimator='tram', lag=lags,\n", " init='mbar', init_maxiter=5000, init_maxerr=1.0E-12)\n", "pyemma.plots.plot_memm_implied_timescales(tram, nits=8, annotate=False, marker='x')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The TRAM approach further allows to check implied timescales for all thermodynamic states, i.e., temperatures:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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Please note that we do not need to rerun the TRAM estimation, we can directly access one of the TRAM objects in the above list." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "bff0768db22247d1b513ceffa1022e46", "version_major": 2, "version_minor": 0 }, "text/html": [ "

Failed to display Jupyter Widget of type HBox.

\n", "

\n", " If you're reading this message in the Jupyter Notebook or JupyterLab Notebook, it may mean\n", " that the widgets JavaScript is still loading. If this message persists, it\n", " likely means that the widgets JavaScript library is either not installed or\n", " not enabled. See the Jupyter\n", " Widgets Documentation for setup instructions.\n", "

\n", "

\n", " If you're reading this message in another frontend (for example, a static\n", " rendering on GitHub or NBViewer),\n", " it may mean that your frontend doesn't currently support widgets.\n", "

\n" ], "text/plain": [ "HBox(children=(HBox(children=(Label(value='WHAM'),), layout=Layout(max_width='35%', min_width='35%')), HBox(children=(IntProgress(value=0, max=100000), HTML(value='')), layout=Layout(padding='0 0 0 20px'))), layout=Layout(display='flex', width='100%'))" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "\r" ] }, { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "8c273b569bf24259b60864a928ff2e35", "version_major": 2, "version_minor": 0 }, "text/html": [ "

Failed to display Jupyter Widget of type HBox.

\n", "

\n", " If you're reading this message in the Jupyter Notebook or JupyterLab Notebook, it may mean\n", " that the widgets JavaScript is still loading. If this message persists, it\n", " likely means that the widgets JavaScript library is either not installed or\n", " not enabled. See the Jupyter\n", " Widgets Documentation for setup instructions.\n", "

\n", "

\n", " If you're reading this message in another frontend (for example, a static\n", " rendering on GitHub or NBViewer),\n", " it may mean that your frontend doesn't currently support widgets.\n", "

\n" ], "text/plain": [ "HBox(children=(HBox(children=(Label(value='DTRAM'),), layout=Layout(max_width='35%', min_width='35%')), HBox(children=(IntProgress(value=0, max=10000), HTML(value='')), layout=Layout(padding='0 0 0 20px'))), layout=Layout(display='flex', width='100%'))" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "\r" ] }, { "data": { "image/png": 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v1ELyNb9M8hv3wbhyn5vVJ8t1LYWoquc+SrHPqhRS6PletG/q+qnl3vdnHX7muYfnvqWekfN1TrnXN63dlHN6jvyCfM4VnuNMwRnyC/N9/jfM3pzNucJzFGiBz/N+vvjnPo+HktPkBN4TXHERSWCWtEwM8pWgPgKOObmJe9Zx33+LGK9EhASJ/L8TbmhzQ9DX+kpQ93a+1+/1vhLUH6/9o9f9vt71/eu2fwGuZH/ZXy8r97w3+r/B6YLTjF8y3m+MscRfAisupMnMV+cMS14mAsr9m1FVry76LCJTVHWyt/NEpBbwN+DG0IcX+xomNSz35b2JLH/jUro29ftOttIrL5mFvAornbwsYZkwcPpP93tF5JSqPl18p4gkA+8CrUIeWSURy13Jw5U8K3rfYK53eo39g8G7sDcjWrVlwqDcbuYlThLpiysRTVbVF9z7GgCLgfrAtaq6I4xxRkyg3cxN5eOryzp47zHo61hVFdZ3XxVMWoF0Mw/HcIvc3FzPUhl79+4lPj6eRo0aAfDFF1/QqVMn8vPzadOmDW+99Rb169f3XPvCCy8wadIk9u3b5xlztHz5cq6++mpee+017rjDNaT0s88+o3PnzmRlZfmcvHXmzJmsW7eOl156KaifxZ/hw4fz9ddfA3DkyBHq169fYpZ2f8LZzRwAVV0uIkOAv4vIKeDvwBJcw+V7q+pex9EaE2WhrHrL+8tPkKj10AyV0lVX2N5vhbnCquiwCG8aNmzo+Uu6aC2ooiSSnJzsOTZmzBimT5/Or3/9a8+12dnZXHHFFcyfP5+xY8d69nfs2JHZs2d7ElROTg6dOnUKOsZQmT17tufzQw89FNBA3opy/HZeVd8XkeHAHOAxYBfQX1UPhys4Y2JdOAY8xypvzYQhSVpFk/QGmaR+/+nv2Xxoc1DX3r7odq/7L069mEeuLDtrQ6C6d+/Ohg3np9basmULeXl5ZGVl8cwzz5RIUC1btuTYsWPs27ePxo0bs2jRIm68MbBX+wsWLGDKlCmcPXuWhg0bMmvWLJo0acKBAwcYNWoUubm5XHHFFSxatIj169eTlpbm+N6qypw5c/jwQ/+9k0PF13Ib3v7L5ANvAzcDzwPdi15Mq+p74QiwokRkJDBNVRtFOxZjivOX3CpDAgtZ0opgRRUpBQUFLF261FMRwfl1k3r37s3XX3/N/v37adz4/HRdQ4cOZe7cuVx++eV07tyZmjVrBvTMXr168fHHHyMivPbaazz77LNMnTqVJ554gmuuuYZJkyaxaNEiZsyY4bmmd+/eHD9+vMy9nnvuOfr16+f5vnLlSpo0aVJiAttw81VBLcTVhFde16jio7uU8kY4RpGIxAFDgZ3RjsWYQDmtzmItkVW4abAoWTlMVP4qHV9DFN644Q3ncTl06tQpMjIy2LZtG126dOG6667zHMvJyWH+/PnExcUxZMgQ5s6dy9133+05PmzYMIYPH87mzZsZOXIka9asCejZ33//PcOHD2fPnj2cPXuWNm3aALBq1Srmz58PwA033ECDBudn9S++lLwv4VqU0BdfCapNxKIIn1HA/wMeinYgxoRLoPMXRlrxhBVQsgowUcWKWrVq8fnnn3P06FEGDBjA9OnTuffee9mwYQPffvutJ2GdPXuWtm3blkhQTZs2JTExkQ8++IA//OEPASeoX/7ylzz44IMMHDiQ5cuXk5mZCeBzWQ0nFVR+fj7z5s3zLA8SKb7GQW2PVBAicg8wFugIZKvq2GLHUoG/ANcDB4FJqup3bg4RiQeGAbdgCcpUQ7HYhBhUsqpg81+0hh6kpKQwbdo0Bg0axPjx48nOziYzM5NJkyZ5zmnTpo1n6YsiTz75JPv37yc+vmSjVFEvPV9z7x09etSzVPybb77p2d+rVy/mzJnDI488wuLFizl8+HzXAScV1JIlS7j44otp0aKF33NDKVamOtoNTAH6A7VKHZsOnAWaABnAuyLyhapuEpGmgLdpCUa47zVHVQuDWVjMmKqudAKLdMIKqimwKFld+RhsrQE9/c9cEs2xipdffjmdOnUiJyeHnJwc/vnPf5Y4PnjwYHJycrjqqqs8+3r06OH1Xps3b6Znz54+n5eZmcmPf/xjmjdvTrdu3di6dSvgWl9q5MiRzJ49mx/96EdccMEF1K1b1/HPEc5FCX1xNA4qUkRkCtCiqIISkTrAYaCDqn7j3vcWsEtVH/Vzr98DlwOFQHfgTVX1+r9mERkHjANo2bJll9L/ojGmuopWM6G/ZLX7ysdoVvuc60tiHUeJqrIbMGAA8+bNo0aNGgFfe+bMGeLj40lISGDt2rWMHz8+oLFMFRH2cVBR1A4oKEpObl8AP/J3oap63pyKyLrykpP73BnADHAN1A0+XGOqlmhVWQE1BZ47Act/W+UT1cKFC4O+dseOHQwbNozCwkJq1KjBq6++GsLIwifWE1QycLTUvqOA89oUcJKpjTH+eWsuC3fSKkpWlqiCd9FFF/HZZ59FO4yA+RoHlY2rq/n7qnowciGVkAfUK7WvHlC2y4kxJipKrGgcxmRVvKoan1yb2nWUsce9LLhgiSpmVPQVkq8K6jCujgszReRfuObie1dVI9Nw6fINkCAiF6lqUdedTsCmCMbgU9cpH3Aw72yZ/WnJNVg3+TovVxhTdUWqSfD7k9/TLrkdf0oRaqsy9piPRAWWrKJAVcnLyyMx0fdCor746mb+CwAR6YBrKY2bgEwR2Qe8hythLVHVE0E/3U1EEtyxxAPxIpIE5KvqCRGZBzwpIj/H1YtvEOC9m0sUeEtOvvYbU52Eq7r64MAHALSo3YJTxPFyXH1qqnLDiZPlXHEW3nsOEpKgw5CQxGD8S0xMJDU1NejrA+rFJyL1gRtwJawbcL0LWsH56mpLUEGIZAKPl9r9hKpmusdBvQ5cB+QCjzoZBxWsQGczb/3ou+Ue2/a7m0IRkjFVUriqK0fd1SvZ4N+qxmkvvqC7mYtrcFE3zldXnVQ15qY7CpQlKGMiK2qJypJU1IS9m7m6Mtta9/aYiDhbnMUYY4oJVzOg367qlXQqpeokLlQ3UtXdobqXMaZ6Wj58ORvHbAz5NERFyapvevOyB4sSVWb9ssdMVMX6OKiYl5Zcw2uHiIZ1Ah/tbYxxCVdvQN9jqtQqqhgTU1MdxYKKLvm+afdRbpq2il9e8wMeur59CCMzxoSyCdD3OyqBzCMheY4py+k7qJA18RmXS5ulMOCyC/jLqq0czDsT7XCMqVJC2QRYVE15b/pzV1NZkVucz5TlKEGJyOsi4nV9KBFpJSKvhzasyu3B69pxJr+Q6cv+G+1QjKmSQv2uKjchnstap5c9cGK/vZuKIqcV1FigvCXT04AxIYmmimjbKJmhnVsw6+Md7DpyKtrhGFNlhTJRqYjvasoSVcQF0sRX3suqDsCBEMRSpdzXz9U0MG2JvWw1JtyKElUoklW51ZQ1+0VcuQlKRO4Tke9E5DtcyenvRd+LbbtxzfJQ/mjVaqpZ/Vrc1q0Vc9fvZMuBvGiHY0y1EYqqqvxqCleznyWpiPBVQX0J/A2YBwiwzP29+PYGrua/X4Q1ykrqF1dfSFJiPM9/8I3/k40xIbV8+PKQVFNeE5W9m4oIR93MReRx4DVV9TPBVeVX0W7mpU1d/DV//PC/LPxlLzo0TwnZfY0xzoWie7qosmHbzrIHbNxUwMI+F19VFeoEdez0OXr/fhmdW9bnjduvDNl9jTHBuezNy9ByX6n75338lI2bCkTIx0GJyFAReVtEVojIp6W3ioVbddVLSmR83wtZ9vUB/rXtULTDMaba2zBmQ4Wa/nIT4m3cVIQ4HQeVCcwBfgjsxLVgYOnNlGNM99Y0rluTZxdtrvAKk8aYiivqSCFIUNf7fDdlSSpknFZQdwC/U9XLVXW0qt5eegtnkJVdrRrx/PLai/jXtsN89I31yDcmVoSimirTJd2SVMg4TVB1gaXhDKSqG941nfTUWmS9/zWFhVZFGRMrKlpNqYglqTBxmqBycK2gW6mISHcRWe7evhGRF6IVS42EOB7o145Nu4/xz//sjVYYxphybBizIehE5XXcVNEyHpaoguY0QS0FbhWRN0RklIjcWHoLZ5DBUtW1qtpXVfsCa4C/RzOeQRnNadckmakffE1+QWE0QzHGlKMizX5eO1BYNRU0pwlqNtAa15x7/wcsLLUtCEdwoSIiicCVwMpoxhEfJzx0fXu+O3CCeZ9V+SFlxlRaFRnka++lQsdpgmrjZ2tb0UBE5B4RWSciZ0RkZqljqSIyX0ROiMh2ERkV4O2vA5aqatTLlusvaUKnFin8Ycm3nMkviHY4xphyVOTdlL2XCg1HCUpVt/vbQhDLbmAKrrn9SpsOnAWaAKOBl0XkUgARaVrsPVPxrWmx638MzA1BjBUmIkzsfzG7jpzi7U92RDscY4wfwb6bKv+9lE2R5FQgA3Vrish4EfmLiCwWkYvc+4eLyA8rGoiqzlPVvwMl5iMRkTrArcBjqpqnqquAfwA/cV+3t+g9U6ltr/v6ROAKYFVFYwyVXhel0ePChkxf9l9OnMmPdjjGGAc2jNkQVDVV9r2UWpJyyOlA3XbAN8Bvcb2LuhZX13OA3sCkcATn1g4oUNXiM65+AVzq8Pp+wIe+mvdEZJy7eXHdgQORGac0oX97DuadZeaabRF5njGm4oLtQFH2vZQlKSecVlDTgB24klN/KPHPiI+AXqENq4Rk4GipfUc5nyB9UtV/quq9fs6ZoapdVbVro0blrcsYWp1bNqDfD5vw54+2cOTk2Yg80xhTccF2oCj7XsqSlD9OE1Rv4LeqeoSyCxfuAy4IaVQl5QH1Su2rBxwP4zMjYkL/duSdyeeVFd9FOxRjTABCmqSs40S5nCao00Ctco41B8I5je83QELROy+3TlSB+f8ublqPQZ2a8cbqrew/fjra4RhjAhBsL78ySco6TpTLaYL6APiViBRf0EhFpCbwS+C9igYiIgkikgTEA/EikiQiCap6AteiiU+KSB0R6QkMAt6q6DNjwf392pFfoLz04X+jHYoxJgjBvJey5j5nnCaoiUAj4L+4EoMCvwE2As2AX4cglsnAKeBR4Db358nuY7/AVcHtB7KB8apa6SsogNZpdRh2RTrZn+5g56GT0Q7HGBOEYJr8VISOlqR8cjoOaieuZrU/4+oosQXXe6e5QJeiLt0VoaqZqiqltkz3sUOqeouq1lHVlqr6dkWfF0vuveYi4kR4cYmtymlMZRXUeymrpHxyPA5KVQ+r6mOq2kNV26lqN1X9tapWbB1lQ9OUJMb0aM38z77n232Vvu+HMdVWMO+lrONE+RwnKBNe//ujC6ldI4Gpi7/xf7IxJqYFOqjXOk5453Sgbg0ReVhE1orIDhHZX3oLd6BVXWqdGvy8dxsWbdrLFzvD2SnSGBMJFU5SVkk5rqBeBp7ENVj3LVxz45XeTAX9vHdbUuvU4LnFX0c7FGNMCASTpDqWrqSqcZJKcHjeEOB+Vf1zOIOp7pJrJvCLvhcy5d2vWLsll+4XBr8UtTEmNmwYs4GOb3Z0foG7ktqwbafr+4nq20DltII6hKt6MmF2W7dWNK2XRNb7m1G1peGNqQoq3HGimr6PcpqgngQecs8sbsIoKTGee6+9iH/vOMKHm6vvv5yMqWqCae47Pwu6upaPr2acjoN6E1gH7HAvtTGn1DY7vGFWLz/u2oLWDWuT9f7XFBZaFWVMVRFokiozC3o1q6Sc9uJ7CNdsEmeAOrhmlSi+NQ5XgNVRYnwcD1zXjs17j7Ngw+5oh2OMCaGKV1LVJ0k5beJ7FNeSG81VtaeqXl16C2OM1dLNlzXj4qZ1eeGDbzhXEPWV6o0xIbRhzIaAzi+56GH16X7uNEEJsFDtrX3ExMUJE/u3Z1vuSf7f+u+jHY4xJsQC7TiRmxB//ks16dnnNEHNxLXsuomgay5uTOeW9fnDkm85fa4g2uEYY0Is0Eqq5Puoqt9pwmmC+h64SUSWiMivROQXpbbx4QyyuhIRJva/mL3HTvN/H2+PdjjGmDAIZILZMgN5q/j7KHHSaici/l6CqKrG+zmnUujatauuW7cu2mGU8JO/fMJ/dh1lxcNXUzcpMdrhGGNCrO/svuSedj7AVtPPAAAgAElEQVTvtqieH8hbpzFMrFwrIYjIelXt6u88p93M4/xsVSI5xaqJ/dtz+OQ5Xl+1LdqhGGPCINClOkr07KvC0yHZbOaVwGUt6nPDpU15deV3HDpxNtrhGGPCINAkVR06TThOUCLSWER+LyJLReQbEbnUvf8+EekevhANwEPXt+Pk2Xz+/NGWaIdijAmT5cOXB9Szr2MV7zThdKDulcC3uHrybQMuBGq6D18APBSO4JwSkRQR+VRE8kSkQ7H9vxeRlSLylohU6pc3FzWpy+DLW/Dmmm3sPXo62uEYY8IkoIG8VXzOPqcV1AvAMqAdcBeU+K/3KXBliOMK1EngJuD/Fe0QkU64Bhb3BjZTBbrJ39/vIgpV+eOHleuFqDEmMIF0Py85sWzVGsTrNEF1Bv6kqoVA6W5/uUR5qiNVPaeqB0rt7gksdn9eBPSKbFShl55am5FXtmT2v3ayPfdEtMMxxoTRxjEbHZ9bptNEFeE0QR3FNeeeN22BfU4fKCL3iMg6ETkjIjNLHUsVkfkickJEtovIKKf39aI+cMz9+SiQWoF7xYx7rv4BCfHCCx/Y0vDGVHVBd5qoIlWU0wT1DvCEiLQttk9FJA2YAMwL4Jm7gSnA616OTQfOAk2A0cDLxTpjNBWR5V62puU85whQz/05BdeaVpVe43pJ3N6zDe98sZvNe4/5v8AYU2kF3WmiinQ9D2Sy2GPAl8AK974/A18Dp4DfOH2gqs5T1b/jahr0cK81dSvwmKrmqeoq4B/AT9zX7VXVvl62veU8ag3Qz/25P7DaaYyx7q4+bUmumcBz71sVZUxVF9B0SMXfR1WBpj6nA3UPA92Au4HtwBJgK67E1VNVj4cglnZAgaoW/1v3C+BSJxeLyHvA9cCrIjJWVT8H9onISvc9/ubj2nHuZsd1Bw6UfpUVe+rXrsFdfdqy5Kt9/HvH4WiHY4wJs0AmllUpdl4l79Xnd6ojEakJDAU+VdWQdR8TkSlAC1Ud6/7eG5irqk2LnXMnMFpV+4bquf7E4lRH3pw4k8+PspbRrkld3r6zW7TDMcZEQMc3Ozo6L9anQgrZVEeqegZ4DWgWisB8yOP8O6Mi9YBQVGdVTp2aCdx99Q9YsyWX1f89GO1wjDER4LTThFaRpj6n76A24mqCC6dvgAQRKf5mrxOwKczPrbRGXdWSZilJPPv+19hSXcZUfYF0mijR9bySNvU5TVAPAA+LyAARSajIA0UkQUSSgHggXkSSRCRBVU/g6g34pIjUEZGewCDgrYo8ryqrmRDP/f3a8cXOIyz+0nFPf2NMJRZIp4nzXc8r5wBepwnq77ia+N4BTovIARHZX3wL4JmTcfX8exS4zf15svvYL4BawH4gGxivqlZB+TCkc3PaNqrD1MVfU1BoVZQx1UEgg3grc1Of02poOmVnkAiKqmYCmeUcOwTcEornVBcJ8XE8dF177n7737zz+S6GdG4R7ZCMMREgCOrgr+USvfqyLoq5DhO+OEpQ7qRiYtT/dGjKpc3q8cKSbxhwWTNqJNgqKsZUdRvGbHDcq69j63Q2bttZ6aoop7OZp4tI53KOdRaRdG/HTGTExQkT+rdn56FTzF63M9rhGGMixPFUSMV79VWiZTmc/lP7ZVzvi7wZBfwpNOGYYPVt14grW6fyx6XfcupsQbTDMcZEQCCLHJZp6qsEnCaobsCH5Rxb5j5uokjEVUXtP36GN9dui3Y4xpgICaTreWXrMOE0QdXGdyeJOiGIxVTQlW1S6du+ES8v38Kx0+eiHY4xJkKcdj0vMYC3EoyNCmSg7shyjo3EBtPGjAnXt+foqXO8tuK7aIdijImgwOfqi/1hKU4T1O+AUSIyV0RucneMuElE5uBKUE+HL0QTiA7NU7jpsgt4bdVWDuadiXY4xpgICWQAb2XpMOF0NvP5wBigO7AA+Jf7z+7Abe7lM0yMePC6dpw+V8Cflm2JdijGmAhyOoC3xDRIMdxhwvGAGVV9C0gHLgH6uP9sqarZYYrNBOnCRskM7dKC//t4O7uOnIp2OMaYCHLa1OeZBimGO0wENKJTXTar6mr3n7HfiFlN3dfPNbfvH5dWnlHjxpiKC6qpL0arKMcTv4pIM2AA0AJIKnVYVfWRUAZmKqZ5/VqM7taSv67dzrg+bWnbKDnaIRljIqRhUkNyT+f6Pc/TYSJGqyi/CxYCiMhgXJO3xuOayPVsqVNUVduGPrzIqywLFjrR+akPOHSi9K8K0pJrsG7ydVGIyBgTKZe9eZmjufrOL24okHkk/IERwgUL3Z4BFgNNVLW5qrYptVWJ5FTVeEtOAAfzvO83xlQdgYyNcn8KXzBBcpqg0oFp7tnGjTHGVAJOp0HqGKODd50mqDVA+3AGYowxJrSWD1/u7ERPt/PYqqKcJqgHgXEiMkZEmolI7dJbOIM0xhgTHKdVlKfbeQxVUU4T1AagI/AGsBM47mWLGhFJEZFPRSRPRDq49zURkTUi8pGIfCgiF0QzRmOMiYZAJpP1VFEx0u3caTfznxFrtV9JJ4GbgKxi+w4CvVS1UETGAncAU6IQW9SkJdfw2iEiLblGFKIxxkSL08UNY23wrtMVdWeGOY4KUdVzwAEptt6JqhZfFKku1XBCW+tKbowp4nSJ+Mtap7u6ncfA8vARXxtcRO4RkXUickZEZpY6lioi80XkhIhsF5FRFXxWhoh8AtwD/Lsi9zLGmMos4G7nMVBFlVtBicinwFhV/VJE/oWfJj5VvdLhM3fjamrrD9QqdWw6rkHATYAM4F0R+UJVN4lIUyDHy/1GqOrecmL6HLhKRIYBk4D/dRijMcZUOU5nmIiVKspXE98m4FSxzyF5B6Wq8wBEpCuuaZNwf68D3Ap0UNU8YJWI/AP4CfCoOwn1dfocEamhqkUvYI7iek9ljDHV1vLhyx29i4qVKqrcBKWqtxf7PDYCsbQDClT1m2L7vgB+5ORiEXkPV9XVXkReAb4UkeeAAuA0ro4e5V07DhgH0LJly+CiN8aYSiDgKiqzfsSmQCrN8WSxEZCMq9Ip7iiuDg5+qeqNXnb3cXjtDGAGuObic3KNMcZURgFXUVHswB3xThI+5AH1Su2rR5THWBljTFXjdPDuZVGeAimWEtQ3QIKIFB8h1olq2D3cGGPCyeng3WhXUdHoZp4gIkm4lu6IF5EkEUlQ1RPAPOBJEakjIj2BQcBbkY7RGGOqOqfdzqO5qGE0KqjJuHoHPgrc5v482X3sF7i6nu/Htf7UeFW1CsoYY8LAaRXVN715VHr0OVqwsDqpSgsWGmOMP046TABs3LqDUC1qGOoFC40xxlR7kZ1I1hKUMcZUYxvHbHR0nmdRwxP7ITPFtYU5WVmCMsaYas7RchyeRQ2LCfN7KUtQxhhTzTnt0edZjiNCLEEZY4xxvKihp9t5kcyUMETjYgnKGGNM4MtxRIAlKGOMMYDzKqpj6SoqTCxBGWOMAZxXUV47TISBJShjjDEeTquoSHSYsARljDHGw3EVFQGWoIwxxpTgdPBuuFmCMsYYE5MsQRljjIlJlqCMMcaU4biZr07jsMWQELY7G2OMqdoyj4b19lZBGWOM8aphUsOgjoWKVVDGGGO8Wj58eVSfbxWUMcaYmGQJyhhjTEwSVY12DDFFRA4A291fU4Dy3gJ6O5YGHAxTaBXl62eJ5n2Dud7pNU7OC/R37OuY/f4jc739/gMXa7//VqrayO9ZqmpbORswI5BjwLpoxxzMzxLN+wZzvdNrnJwX6O/Yfv/2+7fff/jvW7RZE59vC4I8FovCFW9F7xvM9U6vcXJesL9j+/2H5r72+4+MWP39+2RNfCEkIutUtWu04zDRYb//6s1+/6FnFVRozYh2ACaq7PdfvdnvP8SsgjLGGBOTrIIyxhgTkyxBGWOMiUmWoIwxxsQkS1DGGGNikiUoY4wxMckSlDHGmJhkCcoYY0xMsgRljDEmJlmCMsYYE5MsQRljjIlJlqCMMcbEJEtQxhhjYpIlKGOMMTHJEpQxxpiYZAnKGGNMTLIEZYwxJiZZgjLGGBOTLEEZY4yJSZagjDHGxCRLUMYYY2KSJShjjDExyRKUMcaYmGQJyhhjTEyyBGWMMSYmWYIyxhgTkyxBGWOMiUmWoIwxxsQkS1DGGGNikiUoY4wxMckSlDHGmJhkCcoYY0xMsgRljDEmJiVEO4BYk5aWpq1bt452GMYYU2WtX7/+oKo28neeJahSWrduzbp166IdhjHGVFkist3JeY6b+ESksYj8XkSWisg3InKpe/99ItI92ECNMcYYbxwlKBG5EvgWuBXYBlwI1HQfvgB4KBzBGWOMqb6cNvG9ACwDhuBKarcXO/YpMCrEcZlQyLoITuwvu79OY5j4beTjMcaYADhNUJ2BQapaKCJS6lgu0Di0YZmQ8JacfO03ppIoKCjg0KFDnDt3LtqhGB8SExNJTU0lPj4+qOudJqijQHk9LtoC+4J6epi5myb/AJwDdgE/VVX7X7QxldyhQ4dISkoiLS2Nsv9mNrFAVcnLy+PQoUM0auS3w55XTjtJvAM8ISJtiz9fRNKACcC8oJ4efjuBa1S1D653Z4OiG44xJhTOnTtHcnKyJacYJiIkJydXqMp1mqAeBY4BXwIr3Pv+DHwNnAJ+E3QEYaSqe1T1lPvrWaAwmvHElFf6wMrn4dB30Y7EmKBYcop9Ff0dOUpQqnoY6AbcDWwHlgBbcSWunqp6vEJR+CEi94jIOhE5IyIzSx1LFZH5InJCRLaLSJkOGyLSCrgeWBDOOCuVuERY+gRMuxxe+RGsegEObY12VMYY4+F4HJSqnlXVv6jqKFW9XlVHqOqrqnomnAG67QamAK97OTYdV3XUBBgNvFw0RgtAROoBbwFjq937pzrl9F2p0xjuXAr3bYDrnoK4eFiSCdMyYEZfWP0HOOxoHJ0x1dIDDzzAiy++6Pnev39/fv7zn3u+P/TQQzz//PN06NChxHWZmZk899xznu/5+fmkpaUxadKkEuf17duXli1boqqefbfccgvJycmh/lFimqNOEiLSGKijqlvd3wW4E7gEWKqqYa1MVHWe+7ldgRbF4qqDa2xWB1XNA1aJyD+AnwCPikgCkAM8oapfhzPGmOSvK3mDVtDzXtd2eBt8+Q5s+jt88BvX1qwzXDoYLr0F6reMSMjGhFrXKR9wMO9smf1pyTVYN/m6oO7Zo0cP5s6dy/33309hYSEHDx7k2LFjnuNr1qzhxRdf5PXXvf2b+rzFixfTvn175syZwzPPPFOiSax+/fqsXr2aXr16ceTIEfbs2RNUrJWZ0wpqJvBAse9PAH8CbgDmi8jY0IblWDugQFW/KbbvC6CoghoJXAU8JiLLRWS4t5uIyDh3E+K6AwcOhDfiWNWgNfS8D8Ytg/u+gH5PAAofPAYvdoRXr4E1f4QjO13jqzJTym5ZF0X7pzCmDG/Jydd+J3r27MmaNWsA2LRpEx06dKBu3bocPnyYM2fO8NVXX9GgQQO/98nOzua+++6jZcuWfPzxxyWOjRgxgpycHADmzZvHkCFDgo63sgpkHNQMABGJA8YDv1LVZ0XkCeB+XEks0pJxdYEv7ihQF0BV38LVvOeTqs7A/fN17dpV/Zxe9TVoDb3ud22HtsKXf3dVVosnu7by2PgqEwVPLNjEl7uP+T/Ri+GvrPW6/5Jm9Xj85ku9HgNo1qwZCQkJ7NixgzVr1tC9e3d27drF2rVrSUlJ4bLLLqNGjRps2bKFjIwMz3V79+5lwoQJAJw6dYqlS5fyyiuvcOTIEbKzs+ne/fyscddeey133nknBQUF5OTkMGPGDJ566qmgfs7KymkFlYJrQC5AFyAVmOX+/iHwgxDH5VQeUK/UvnpAWDttVCupbaDXA3DXR3DvZ9AvM9oRGRMTiqqoogTVvXt3z/cePXoAcOGFF/L55597tv/93//1XL9w4UKuvvpqateuza233sr8+fMpKCjwHI+Pj6dXr17Mnj2bU6dOUR1XWXBaQX2P633TSuAmYLOq7nIfSwFOhyE2J74BEkTkIlUteuHSCdgUpXiqttS2rmS1JLP8c86ehBq1IxaSMb4qHYDWj75b7rHZdwU/z3WPHj1Ys2YNGzdupEOHDqSnpzN16lTq1avHz372M7/XZ2dns3r1ak/iyc3NZdmyZfTr189zzogRIxg8eDCZmZlBx1mZOa2gXgeeFZG5wMO4m8PcugFfhTqw4kQkQUSSgHggXkSSRCRBVU/gGiT8pIjUEZGeuAbj+m3WM2HyYgdY/ns4eSjakRgTVj179mThwoWeqXxSU1M5cuQIa9euLdFU582xY8dYtWoVO3bsYNu2bWzbto3p06eTnZ1d4rzevXszadIkRo4cGc4fJWY5HQf1W+CXwF73n9OKHU4FXgt9aCVMxjUg+FHgNvfnopchvwBqAfuBbGC8qloFFS0troDlz8ALl8I/H4EjO6Idkanm0pJrBLTfqY4dO3Lw4EG6detWYl9KSgppaWk+r503bx7XXHMNNWvW9OwbNGgQ//jHPzhz5vzIHRFhwoQJfu9XVUnxfvbG1UnCFiz0w98s6fu+dPX42zgHVKHDra4egk07lL3GmCDs3r2bZs2aRTsM44C335WIrFfVrv6uDWhFXfe4opZAUuljqvplIPcylZi/8VVNLoHBL8M1v4aPX4b1M13J6gf9oOf98P9+ZsuAGGP8cjpQNxFXs94Yzi9UWFpw86mbqiulBfR/GvpMgH/9BT75M7w5oPzzrZu6MaYYp50kfgMMAO4ABLgH16KFS3HNEn5zOIIzVUStBq4kdf9GGPBCtKMxxlQSThPUMCATmOP+/qmq/lVVrwdWYctYGCcSa0FXP91vD2+LSCjGmNjn9B1UOvCNqhaIyGmg+Bwes4C3gbtCHZypmL6z+5J7OrfM/oZJDVk+fHnkA3LiD52g8aVw8Y1w8U1wQQaI2PL1xlRDThPUHqC++/NWoA+uJTcALgx1UCY0vCUnX/tjwvVPw9fvwcqpsCIL6jWH9v/jfPl6S2TGVBlOE9RyoDeu9ZReBZ4TkR8AZ4DhuMYfmUpkwZYFNK3T1LXVbkpifKLjaytcmdVpXH4S6XGPazuRC98sciWrz2aVPbc4VVeVBc4SmSUxE2KZmZkkJyezdetWVq9ezdmzZ9m6dSvt27cHYPLkySxcuJCPPvqIlJQUVJXnn3+ea6+91nOPAwcO0KxZM1566SXuuut8g1Tr1q1JT09n5cqVnn0ZGRnk5+fzn//8x2dcycnJ5OXlhfindZk1axZZWVme7xs2bODf//53ibkHK8ppgvo1kAagqi+6l9sYimuA7B+BJ0MWkYmIX636leezIDSs1ZCmtZtyQfIFNKndhAvqXOBJYBfUuYCGtRoSJ65XlhWtzPq2bE7u6TIjFVwJruhLnYZw+WjXdu4UPN20/Bs+3dRVaaW0KP+c4nwlMUteVU8Ef6fTp08HYNu2bQwYMIDPP//cc2zhwoVkZWUxdOhQli1bxrhx4/j22/PPnzt3Lt26dSM7O7tEggI4fvw4O3fuJD09na++CuvEPY6NHj2a0aNHA7Bx40YGDRoU0uQEDhOUqu7FNYtE0fcXAOuOVYn945Z/sPfE3vPbSdef/z3yX1btWsWp/FMlzk+IS6BJ7SY0reMjUQAnz52kVkItn0s9B5zgEmvRN705uQllRzI0zC9gefoQOPq9a/PllR/5T2KWvKoep83DAXr66af561//Snp6Oo0aNaJLly6Ory2a/by47Oxspk6dyqhRo9i1axfNmzf3HBs2bBizZ89mwoQJZGdnM3LkSN56y/mMbnl5eQwaNIjDhw9z7tw5pkyZwqBBrr5tTz31FLNmzSI9PZ20tDS6dOnimXHdqaKYQi3QgbqX4JrNPB14XVX3upv69oV72XcTWm1S2tAmpY3XY6rKsbPHPMlrz4k9niS2J8/3omlXvX0VCZJA3Rp1y2z1atSjbo26Pq9XVa/JzVty8uy/forne9+/XFJ+IquZBrn/9fl8n3z9RZeZUnKfJa3I+eejsHdjcNe+cZP3/U07wv/8rtzL1q9fT05ODp999hn5+fl07tw5oAS1aNEibrnlFs/3nTt3snfvXq688kpPMnrwwQc9x4cOHcrYsWOZMGECCxYsYNasWQElqKSkJObPn0+9evU80zMNHDiQ9evX87e//c3rz5GVlcWsWWWb1/v06cO0adNK7Js9ezbvvPOO43iccjpQNxnXhLG3Avnu6xbhqqqeAXYAgaVcE3YNkxqW+67IFxEhpWYKKTVTaJ/avszxjm92LPfaB7s8yPGzxzl29hjHzx73bAdOHnB9Puf73zFd/q8LDWo2oH5SfRokNSC1Zir1k+r7vKY4n4nstr8BfpLYzl1l9gfFW9ICS1xVxMqVKxk8eDC1a7tm7h84cKCj6yZOnMjDDz/M/v37SyxQmJOTw7BhwwDXDOZ33HFHiQSVmppKgwYNyMnJ4Yc//KHnuU6pKr/61a9YsWIFcXFx7Nq1i3379rFq1SoGDRpErVq1ALj55vNDWidOnMjEiRP93vuTTz6hdu3aZZa3DwWnFdTzQA+gH7CakstrvIcrOVmCijHR6Ep+e4fb/Z7jK8H95JKfcPj0YQ6fOczh04fZlLeJw2cO+7zfzfNvJq1WGo1qNXIUo68k5rMpMRTJy6qt0PNR6QDe/6FQ5Pbyl+Lwx1czdnmysrIYMmQI06ZNY8yYMaxfvx5wNZHt27fPU7Hs3r2bb7/9losuOr9K9fDhw7n77ruZOXNmwM+dNWsWBw4cYP369SQmJtK6dWtOnz6Nr7lYnVZQOTk5YZtt3WmCGgLcp6rLRKT0/3u3A61CG5aJZcFWZk480OUBr/t9JbV2Ddpx8NRB/pPru0fT6HdH+32HFpXkVTppWcKKeX369GHs2LE8+uij5Ofns2DBgjIdG8oTFxfHfffdx5tvvsn7779P69atOXHiRIl3Uo8//jg5OTk89thjnn2DBw9mz5499O/fn927d3v279q1i5/+9KcsXbq03GcePXqUxo0bk5iYyLJly9i+fTsAvXr14q677mLSpEnk5+fz7rvvcueddwLOKqjCwkLmzp3LihUrHP3sgXKaoGpxfkXd0uoCBeUcM1VQRSuzUCe4qX2nej77SmS1E2vzzeFvgnoG+E5eHdu0LLGvQknLElZo+RrWEKTOnTszfPhwMjIyaNWqFb179w7oehFh8uTJPPvss/Tu3ZvBgweXOH7rrbcyYsSIEgmqbt26PPLII2XutWfPHhISfP9VPnr0aG6++Wa6du1KRkYGF198MQBXXHEFAwcOpFOnTrRq1YquXbuSkuKj4ixlxYoVtGjRgrZt2zq+JhCOltsQkeXAblUd5a6gzgFdVfXfIvJXIE1VbwxLhBFmy23EJqdjr3wlqI1jNvo9J9xC0lRoCcuW2yjmpZdeomXLlo7fg5WWl5dHcnIyJ0+epE+fPsyYMYPOnTuHLL5ILLcxGVgiIkuAuYACN4rIA7jGQ/UJLGRjAuO0agtn82MohKTasgrLFHPPPfdU6Ppx48bx5Zdfcvr0acaMGRPS5FRRjhcsdC+n/jtcS7zH40pSHwMPq+rqsEUYYVZBVX2+qrFYmAaqQlVWNUlWVkFVHhFZsNCdhHqLSC1ck8UeUdWTgQZrTLT5qsZiIXmVrrICSljFq6tqkqxM1eU3QYlIEnAUGK6qf1fVU8ApP5cZUykFk7zCLeiEZcnKVHJ+E5SqnhaR/bgG6FYqIpICfABcAnRTVd/9kI3xwVvyikbSCiphWbIylZDTJr5XgHtF5H1VPRfOgELsJHATkOXvRGOCUV7FFcnEVTxhWbIyVYnTFXXrAx2AbSLyVxHJEpFni22/D2OMQVPVc6p6INpxmOpn+fDlbByzscQWiZ6ERcmqY5uW9E1v7v+ComSVdZH/c41Hbm4uGRkZZGRk0LRpU5o3b+75LiJkZGTQoUMHbr75Zo4cOVLi2hdeeIGkpCSOHj3q2bd8+XJEhL/85S+efZ999hkiwnPPPeczlpkzZ1a4J58vReO9MjIyaN26dchnLPfFaQV1K661n8C1LlRpCpQdQRYAEbkHGAt0BLJVdWyxY6nAX4DrgYPAJFV9uyLPMybSSldb4a6yAqqsqnBVFY6VpRs2bOhZSqNoLaiiGcCTk5M9x8aMGcP06dP59a9/7bk2OzubK664gvnz5zN27FjP/o4dOzJ79mzuuOMOwDWFUKdOnYKKL5Rmz57t+fzQQw8FNJC3opwut+F92uvQ2g1MAfrjmrmiuOnAWaAJkAG8KyJfqOomEWkK5Hi53wj3MiHGxKRIJqygklUVSVTRXFm6e/fubNiwwfN9y5Yt5OXlkZWVxTPPPFMiQbVs2ZJjx46xb98+GjduzKJFi7jxxsDmP1iwYAFTpkzh7NmzNGzYkFmzZtGkSRMOHDjAqFGjyM3N5YorrmDRokWsX7+etLQ0x/dWVebMmcOHH34YUEwVEdByG+GkqvMARKQr4Fm0R0Tq4KrgOqhqHrBKRP4B/AR41J2E+kY+YmNCK1IJy3GyqiSJ6vef/p7NhzYHde3ti7xPbnxx6sU8cmWFGoUoKChg6dKlnooIzq+b1Lt3b77++mv2799P48bnp1waOnQoc+fO5fLLL6dz587UrFkzoGf26tWLjz/+GBHhtdde49lnn2Xq1Kk88cQTXHPNNUyaNIlFixYxY8YMzzW9e/fm+PGyqww899xz9OvXz/N95cqVNGnSpMQEtuHmdLmNp3FNZ1RmNkQR+TNwQFUfK3tlSLQDClS1+CRqXwA/cnKxiLyHq+pqLyKvqOpML+eMA8aB618xxsSCSCSsomRVFRJVrDh16hQZGRls27aNLl26cN1113mO5eTkMH/+fOLi4hgyZAhz587l7rvv9hwfNmwYw4cPZ/PmzYwcOZI1a9YE9Ozvv/+e4cOHs2fPHs6ePUubNq7Gr1WrVjqE6nEAABtaSURBVDF//nwAbrjhBho0aOC5pvhS8r6Ea1FCX5xWUCOB35RzbCWuJd/DlaCScY3DKu4orklq/XIyR6CqzgBmgGsmiUADNCYSiiesUCcrR1WVv/dU5a047E0Ik52/SsfX3Itv3PBGSGIorlatWnz++eccPXqUAQMGMH36dO699142bNjAt99+60lYZ8+epW3btiUSVNOmTUlMTOSDDz7gD3/4Q8AJ6pe//CUPPvggAwcOZPny5WRmZgL4XFbDSQWVn5/PvHnzPMuDRIrTBNUMKK/Rerf7eLjkAfVK7asH2Aq+ptqKRLJyVFUF68R+V0KrwhVZSkoK06ZNY9CgQYwfP57s7GwyMzOZNGmS55w2bdp4lr4o8uSTT7J//37i40vOnv/SSy8BvufeO3r0qGep+DfffNOzv1evXsyZM4dHHnmExYsXc/jw+TXWnFRQS5Ys4eKLL6ZFixZ+zw0lp93M9wLlzSDYGQhnV+5vgAQRKd7w2QnYFMZnGlNpFO/SHsqu7EWJylF39WBEqIt7ef9NItHt//LLL6dTp07k5OSQk5NTZlmNwYMHk5NTso9Xjx49SiwHX2Tz5s00bOg75szMTH784x/Tu3fvEh0gHn/8cRYvXkznzp355z//yQUXXEDduo4aoYDwLkroi9PlNp4F7gJGqeq7xfbfCLwNzFDVhysUiEgCrorucVydJO4E8lU1X0RycHVl/zmu90nvAT1UNeRJyiaLNVVFqCurkK0q7E2ATX7VcbLYAQMGMG/ePGrUqBHwtWfOnCE+Pp6EhATWrl3L+PHjPV3hwy0Sk8X+BldiWCAiucAe4AIgFVhMaN4/TcaVnIrcBjwBZAK/AF4H9uNaOHF8OJKTMVVJqJsBA56xIhBO311VYwsXLgz62h07djBs2DAKCwupUaMGr776aggjCx/Hy20AiEh/4GqgIa5EsVRVPwhTbFFhFZSpymK6qgqgiqqOFVRlFZHlNgBU9X3g/cDCM8bEinBVVSFJVAFWUaqKiFTsmSasAimAvHHaSQIAEakpIm1F5JLSW4WiMMZEXFHnilB0FshNiC/bmaJOY8g86vrTKYedJhITE8nLy6vwX4AmfFSVvLw8EhMTg76H004SzXCNE/ofb4ddsWi8l2OVjjXxmeoqVM1/5c5xF8g4qczSQx9LKigo4NChQ5w7V5kWV6h+EhMTSU1NLdNl3mkTn9ME9R6u7uS/Bb7ENS9eCar6kdOgY5klKFPdhTVROU1SNmtFlRbqBHUUuFNV54QiuFhmCcqY80KRrMokKqcDfP1UUabycpqgnL6D2o8t825MtROK91S5p3PpO7vv+R1O30nZGlXVXiDjoB4RkY9U9Vg4AzLGxJ6iCijYiir3dC4d3+zoqqaKmu78VVI2Nqrac9rENxe4CtcErf8CjpQ6RVV1eOjDizxr4jPGt5A1++3YZe+jqqlQN/GlAVuAz4FEoFGpLYB+pMaYyixkzX4tHc7xZ5VUtRXQTBLVgVVQxgSmohWVo0G+VkVVKaGuoIwxxquKVlReB/mWVrQ8h6lWyu0kISK/AOaq6gH3Z59U9U8hjcwYU6ksH748+E4U7iTls5Kypr5qp9wmPhEpBLqp6qfuz77YTBLGGI+KNPv5bPKzpr4qocJNfKoap6qfFvvsa6sSyckYExoVafbz2eRnVVS1Yu+gjDFhs3z48tAnqQiswmtigyUoY0xYBVtNFS3l4XXZees0US1YgjLGRESw1RSUU1FZc1+VZwnKGBMxIU9SVkVVaZagjDERVdEOFCWa/Kypr0qr8glKREaKyIFox2GMKSlk1ZQlqSrL10Dd3wRyI1V9suLhhJaIxAFDgZ3RjsUYU1bIBvfa+6gqyddA3dJVRy2gtvtzHpDs/nwSOKmqMTdhrIjcBhQADzkZFAY2UNeYaAk2UXkG9tog3kojFAN1GxVtwEBcixbeBtRW1Xq4ktVP3PsHVTDYe0RknYicEZGZpY6lish8ETkhIttFZJTDe8YDw4DZFYnNGBMZFemO3je9uTX1VUFO30FNA55R1bdV9TSAqp5W1VnA74DpFYxjNzAFeN3LsenAWaAJMBp4WUQuBRCRpiKy3MvWFFcynaOq/qZpMsbEkGDeTVmSqpqcJqgOuJKIN7uAH1YkCFWdp6p/B0rU9yJSB7gVeExV81R1FfAPXJUbqrpXVft62f5/e/ceZEdZ5nH8+zMDDAaSlUAABVzRwC4SYDVcIlGDKwFxFVcKgpaYeEOJrLqIAmXQkI3lumHBXUUgCglSxVWjCwZdEBgEvEBEMwkIYZVLBHNFIwmBQHj2j+6Jh5M5M909p8/pmfl9qk5Nn7dvz6QhT95+byuBA4APSvoxME7Sfw8kRjNrnSK1KSepoSdrgloOnCFph9pCSZ3AGcBDzQ4stR+wJSKW15QtAV7f34kRcVZETImIY4GHI+JTjY6VdGr6inHxmjXu8GdWFXlrUy9JUjboZU1Q/wIcAfxB0lWSvibpKpLecUcADf/yH6CdgPV1ZetJlp7PrL/GuIiYFxETImLCbrvtljNEMytTkSQ1/jX7MPnyA0uMylohU4KKiJ8C44D5wJ7AMenP+cC4dH8ZNgCj6spGAU+XdD8zq6BC7VIj5CQ1yGUeqBsRf4yIz0fEURHx9+nPz0dEo7apZlgOdEiqfaF8MHB/ifc0swpykhp+cs0kIemVkk6Q9DFJ75X0ymYEIakjbc8aAYyQ1CmpIyI2AguB2ZJGSjqSpEv7lc24r5kNLoWT1LWTywnISpUpQUkaIembwGPA9cClwHeBxyRdlM7YMBAzgU3A2STdwzelZQAzSAYJrwauBk6LCNegzIapQknq2XVOUoNQw5kkXnKQNAc4EziXZODrKpJxSVOB2cDciMg1NVJVeSYJs8Gh8MwTnWPomtrV/IAsswHPJFHng8DMiJgbEY9HxHPpz7kkSWv6AGI1M8ut8Gq9rk0NGlkT1Figu8G+7nS/mVlLbR3Qu6X/N0G1itS8rPXyDNQ9ucG+kylvoK6ZWb+6Prwsd5JyLar6Gi63UWcOcI2kfUg6R6wiqTWdCBxF4+RlZtYSXR9exuTLDmBdx4hMx697dh3jrxjvNqkKyzpQ9zrgWGAk8F/A90gmkH05cGxEXF9ahGZmGXU99TxjXtiS6xy3SVVXnoG6N0fERJIu33sAO0bEmyLiltKiMzPL43MPF05SB11xUElBWVFFxi/tAowGXtHkWMzMBu5zD9O14gmWPvJ4rtOCcE2qYjInKElTJf2WpP3pQWC1pN9KOrG06MzMihiZdCwuUpMaf8V4J6qKyDqTxPtIZnH4PfAh4Lj05+9JOk+4k4SZVUe69HvXiidyJylwN/SqyDqTxDLgroj4RC/7LgEmRcSQmJHRM0mYDRFzx21dF2ry3q/K3Luvlnv4laPZM0m8jqTnXm++l+43M6uOtBYFbG2Tcg+/wSVrgloFNMp2E9L9ZmaV1rXiCZThrVEtJ6n2yZqg5gOzJM2U9HeSXiFpf0kzgS8Bl5cXoplZ83Q/usLd0AeJrAlqNnA+yXIY9wNrgQfS7+en+83MqmVk79OEFuk84W7orZd1JokXI+ILwN7AZOB96c+9I2JmZOlpYWbWajXtUPW6VjxRaF0p16RaJ9dA3Yj4U0TcGRHXpT//VFZgZmZlK7JkRxAeK9UiWSeLJV2S/S3AXkBn3e6IiIubGZiZWSv0dCMff8X4XOf1dJ5wN/TyZEpQkiYBC4FdGxwSgBOUmVXPyLFbx0NtU15jTOeY3AN0e175dU9rtFyeDUTWgbr3Ac8BnwAeiIjnyw6sXTxQ12yIen4TfHkP+Mcvwps/2/Cwg644iCBfs7oH9ObT7IG6+wOzImLJUE5OZjaEbbcj7DAaNvRSm6rRPa27UOcJt0k1X9YE1U2yxMagImmipK70s1zShe2OyczaYO44mDUanlsPv7wk2Z41OinvRdfULoRy3cI9/JovayeJ04AFkh6NiDvKDKiZIuLnJN3hkbQA+EE742m1CXNuYe2GzduU77rT9iyeeXQbIjJrk97aoPoqJ6lJTb52cq52qSDcJtVEDWtQktZIWi1pNXAzMA64TdKzPeW1n5ZFXICk7YDDgDvbHUsr9Zac+io3s5cq2g3dNanm6KsGdRHkbCkcAEmnA9OB8cDVETG9Zt8uwGXAFJJZLM6JiKtyXP5o4NaIeLFpAZvZsNDT+SFP5wnXpJqjYYKKiFktjAPgSWAOcAzJsvK1LgI2A7sDhwCLJC2JiPsl7QFc08v1To6Ilen2iSTzCZqZFdI9rTvXWKmeAb3u4VdckSXfSxERCyPiB8BLXvhKGgmcAJwbERsi4i7gBuCU9LyVETG5l8/K9PztgEOBuxrdW9KpkhZLWrxmzZqSfkMzG+zyvu4D9/AbiIY1KEnXkbxK+1263aeIOKmpkf3VfsCWiFheU7YEeGvG898O3NbX672ImAfMg2QcVNFAzayiMg7W7U+R133gWSeK6qsNajdgu3R7LC1sj6qzE7C+rmw9sHOWkyPiR8CPmh3UYLDrTts37MVnNqz0TBr7vY/CE7+CT/16QJfrntbtJNUCfbVBHVWzPbkl0fRuAzCqrmwU8HQbYhlU3JXcrDxOUuWrTBtUH5YDHZJqR9QdTLIulZlZ23RP6y40oNdtUtn01QY1I8+FIuKbAwlEUkcazwhgRDp7+gsRsVHSQmC2pI+S9OI7HnjTQO5nZtYMRQb0uiaVTV9tUN/IcZ0ABpSggJ7l43t8ADgPmAXMIFlWfjVJL7/TIsI1KDOrhK6pXU5SJeirDaqlr//ScVezGux7CnhPK+MxM8ujaJKyxgZDG5SZ2aBQZGokT4vUWOYEJWmspK9KujWdGfz1afmnJU0sL0Qzs8Ejb5Ly3H2NZUpQkg4DHiaZ0eFR4LXADunuPYHGq3+ZmQ0zRZLU+CvGu3dfnaw1qAuB20lmdfg4vKRf5T0kM4WbmVmqyOs+d0F/qawJ6g3AN9PpgupHpa0jmWnCzMxqFE1SlsiaoNaTTH3Um32BVc0Jx8xsaCmyOq/bpBJZE9T/AOdJ2remLCTtCpwJLGx6ZGZmQ0TeGSfccSKRNUGdDfwFeAD4aVp2CfAQsAn4YvNDMzMbOookqeHeHpUpQUXEn4AjgE8CjwE/AR4hSVxHRoQnbjUz60feJDXcO030NdXRVpIUEZtJll2/rJf9OztJmZn1L+/cfcO500TWV3wLGu1I26Fub0o0ZmbDQN6OE8O1PSprgpoi6ZL6Qkl7krRJecokM7Mc8rzu6xnIO9xkTSxHAydI+lpPgaTXAHeTdEF/WwmxmZkNad3TunMdP9zaozK1QUXEMklTgFslPQNcSdJR4iHgXRGxscQYzcyGrDGdY9we1UDmV3MR8WvgHSQ9+e4F7gPe4eRkZlZc3tkmhtOcfUVW1F1E8srvJ8BHJAFERFzc/PDMzIa+rqldHHTFQcQ2M8n1brjUpAayou6FNdsBOEGZmRXUPa07V5IaDqvxNnzFFxEvy/EZ0cqgzcyGojydJobDIF53Dzczq5Cl05ZmPnaov+rrqw3qAOB3EfFcut2niHigqZHlIGk0cAtwAHBERCxLy78KvIlkkcUPR8Tz7YrRzCyrPD37esZHjekcM+Re+fXVBrWMZP69e9LtRi9Gle5r52u+Z4B3AnN7CiQdDLwqIt4s6QskqwFf06b4zMwy65ralXtg7rpn1209Ryj3GKsq6itBHUUye3nPdmWlNaM1aY/CHkcCN6fbPwY+hBOUmQ0SS6ctLTx7RG8zT9TXsBrNB1ilmljDBBURd/S2PVCSTgemA+OBqyNies2+XUgmo50CrAXOiYirCt7qb4An0+31wC4Fr2Nm1hZ5XvX1p76G1ai3YJXatTLNJNFkTwJzgGOAHev2XQRsBnYHDgEWSVoSEfdL2oPea0AnR8TKXsr/DIxKt0cDTzUjeDOzVinyqi+L/rqyV6V21VcniTU0bnfaRkSMzXjcwvT6E4C9au43kqSd6MCI2ADcJekG4BTg7DQJTc4aD/Az4AzgOyTJ8O5GB0o6FTgVYJ999slxCzOzcvVV2ylLo1pUq2tXfdWgLiJHgmqC/YAtEbG8pmwJ8NYsJ0u6iaTWtb+kSyNigaRVku4EHgfOb3RuRMwD5gFMmDChtf8lmJn1Ie/6UWVr5QDhvtqgZrUkgr/aiaStqNZ6YOcsJ0fEcb2Ufa4JcZmZtVXX1K7KJKlWxlClgbob+GubUY9RgFfqNbNhL+8ih2Vq1QwWWZd8v53Gr/teBP4C/AaYHxErCsayHOiQNC4iHk7LDgbuL3g9M7MhpSqv+1p1/6w1qLXA64BJJD3vNqQ/J5G0HY0EPgXcL+nQvi4kqUNSJ8nA3hGSOiV1pMt2LARmSxop6UjgeJK1p8zMjKQmtXTaUjpHdLY7lNJlTVA/BNYAfxsREyPi3RExEXgNSfK6HtiXZGDvV/q51kxgE3A28IF0e2a6bwZJ4lsNXA2cFhGuQZmZ1Tlp/5PaHULpso6D+iJwRkQ8WVsYEU9Img1cGBHflnQByUDbhtLOF7Ma7HsKeE/GmMzMbAjLWoPaE9ihwb5OkoG1kNR8qtGKZ2Zmg1rWBHUH8O+S3lhbmA62/QrQlRaNIxlzZGZmNiBZX/GdCtwI3CNpJUl71G7AHkA38PH0uJcB/9HsIM3MrGJmjU43BLP+XMotMiWotOv4IZLeCUwgSUwrgXsj4qaa4y4tJUozM6uo8ibfyTVZbEQsAhaVFIuZmQ0CY17Y0pL7ZE5QkjpIJnOdRLJ0xVPAncDCiHihnPDMzKwqLl65mkmbnm3Z/bLOJDGWZPG/g0iWT18FTAQ+CSyRNCUi1pQVpJmZDT9Ze/FdAIwBDo+IfdPBuvsCh6flF5QVoJmZDU9ZE9RxwFkRcW9tYfr9HOCdzQ7MzMyGt6wJagcazyr+NLB9c8IxMzNLZE1QvwDOSle93Sr9fla638zMrGmy9uL7LHA7sELSzSSdJMaSLKUu8i3FbmZmQ8XIsaVdOutA3d9IGgecCRxK0pvvj8AlwAURsba0CM3MrHrOeBBG7VnqLTKPg0qT0NklxmJmZrZVlZZ8NzMrX5Q3NY81l6LBw5J0LzkmWYqIw5oVVDtJWgM8ln4dDaxvcGhv+3YlWcCxivr6Xdp53SLnZz0ny3F5n3Ff+/z8W3O+n39+VXv+r46I3fo9KiJ6/QALgPlZP42uM5g/wLw8+4DF7Y65yO/SzusWOT/rOVmOy/uM/fz9/P38y79uz6dhG1RETO83uw19NxbcV0VlxTvQ6xY5P+s5WY4r+oz9/JtzXT//1qjq8+9Tw1d8lp+kxRExod1xWHv4+Q9vfv7N504SzTWv3QFYW/n5D29+/k3mGpSZmVWSa1BmZlZJTlBmZlZJTlAlkzRa0j2SNkg6sN3xWGtJOkzSzyX9VNLVkrZrd0zWOpJ2l/QzSXdIuk1SuXMDDTFOUOV7hmS9rO+2OxBrixXA2yLiLSSrUR/f3nCsxdYCkyLircB3gI+0OZ5BJfNcfFZMRDwPrJHU7lCsDSLijzVfNwMvtisWa72I2FLzdWfg/nbFMhi5BpWRpNMlLZb0nKQFdft2kfR9SRslPSbp/W0K00oy0Ocv6dXAFAbfAE9jYM9f0iGSfgmcDtzXwrAHPdegsnsSmEOyBtaOdfsuIvnX8e7AIcAiSUsiwv9aGjoKP39Jo4ArgelpjdoGn8LPPyJ+Axwu6STgHOATLYt6kHMNKqOIWBgRPwDW1ZanqwqfAJwbERsi4i7gBuCUNoRpJSn6/CV1ANcA50XEQy0O25pkAM9/+5rD15O0SVtGTlADtx+wJSKW15QtAV7f80XSTSSvd74laXprw7OS9ff83wccDpwrqUvS1FYHaKXq7/kfkvbgvB34DDC31QEOZn7FN3A7se108+tJGkQBiIjjWhqRtVKfzz8iriR5vWdDU3/P/x7gLa0OaqhwDWrgNgCj6spGAU+3IRZrPT//4c3Pv0ROUAO3HOiQNK6m7GDcnXS48PMf3vz8S+QElZGkDkmdwAhghKROSR0RsRFYCMyWNFLSkSSDMf1aZwjx8x/e/Pzbwwkqu5nAJuBs4APp9sx03wySrqergauB09zFfMjx8x/e/PzbwMttmJlZJbkGZWZmleQEZWZmleQEZWZmleQEZWZmleQEZWZmleQEZWZmleQEZWZmleQEZWZmleQEZdYEkhZIWpxuHyZpVpviOFXSe3opf1TS+e2IyawozyRh1gSSXgvsGBHLJJ0OfD0i1IY4FgPLImJ6Xfk/AOsi4vFWx2RWlNeDMmuCiPhdWdeWtGNEbBrINSLi182Kx6xV/IrPrAl6XvGlKyZ/PS2L9NNVc9yBkhZJejr9XC9pj5r9k9NzjpF0g6QNwDfSfZ+VdK+k9ZJWSbpR0utqzu0C3ghMq7n39HTfNq/4JJ0kaamk5yStkPTldIn6nv3T02uMl3SLpI2SHpT03ub/CZptywnKrLkWAf+Zbk9MPzMA0mRyN9AJnAJMJ1ka/EZJ9a8DLyNZOvzd6TbAXiTJ6njgYyRLP9wtaXS6fwbwIHBTzb0X9RakpCnAtcB96fW+DpyZXr/eVcANwD8DDwPXSNqrvz8Is4HyKz6zJoqINZIeTbd/Ubf7S8BK4B0RsRlAUjdJUjmOlyaT6yPi3Lpr/2vPtqQRwC0kSzwcD3wnIh6QtBFY08u9680GuiJiWvr9x2mO/IqkORHxh5pjL4yIy9P7/gpYBfwTcEk/9zAbENegzFrn7cD3gRfTBfA6gEeAR4EJdcduU/ORdET6qm0d8ALwDLATsF+eINLk9gbg+rpd15L8nTCxrvzmno2IWEeSFF2DstI5QZm1zq7AWcDzdZ99gb3rjl1V+0XSPiSJQsDHgSOBQ0mSRWeBOLarv0fN913qyv9c931zgXua5eZXfGat8xRJDerbvexbW/e9fvzHscDLgePTZcZJa2D1ySSLtSSJcWxd+e41cZq1nROUWfP1tC91RsSzNeW3AgcCv4r8AxB3BF4kebXX4yS2/X+439pNRGxJ25JOBC6uu96LwM9zxmZWCicos+Z7MP35aUm3AX+JiIeAWcA9wCJJl5PUZF4FHA0siIiuPq55G0mvvfmSLiPp/Xcm275+exA4RtIxwDrgkbTdqN6XgP+VNB+4BhgP/BvwrboOEmZt4zYos+a7E5gLfBr4JXApQEQsB44g6dwwD/gRcB7wHPB/fV0wIpYCHwIOB34IvJ+kBrS+7tA5wG+B64B7gXc1uN7NwMkknTNuBD5D0j3+9Dy/qFmZPNWRmZlVkmtQZmZWSU5QZmZWSU5QZmZWSU5QZmZWSU5QZmZWSU5QZmZWSU5QZmZWSU5QZmZWSf8P5um44/r02iIAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "tram_obj = tram[4]\n", "\n", "# Use WHAM\n", "wham = pyemma.thermo.estimate_multi_temperature(\n", " energy_trajs, temp_trajs, dtrajs,\n", " maxiter=100000, maxerr=1.0E-15, save_convergence_info=10,\n", " energy_unit='kT', temp_unit='kT', estimator='wham')\n", "\n", "# Use dTRAM\n", "dtram = pyemma.thermo.estimate_multi_temperature(\n", " energy_trajs, temp_trajs, dtrajs,\n", " maxiter=10000, maxerr=1.0E-15, save_convergence_info=10,\n", " energy_unit='kT', temp_unit='kT', estimator='dtram', lag=7)\n", "\n", "# Plot the convergence behaviour (only WHAM, dTRAM, TRAM)\n", "pyemma.plots.plot_convergence_info([wham, dtram, tram_obj])\n", "\n", "# Build an MSM of the unbiased data\n", "msm = pyemma.msm.estimate_markov_model(dtrajs=dtrajs0, lag=7)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Below, we compare the estimated free energy profile (thermodynamics) for the different estimators. We observe\n", "\n", "* the MSM fails at the barrier and the right metastable state\n", "* WHAM fails for both metastable states\n", "* dTRAM and TRAM are in good agreement with the reference" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "ax.plot(reference[0, :], reference[1, :], linewidth=2, color='black', label=\"Reference\")\n", "ax.plot(centers[wham.active_set, 0], wham.free_energies, '-s', label=\"WHAM\")\n", "ax.plot(centers[dtram.active_set, 0], dtram.free_energies, '-o', label=\"dTRAM\")\n", "ax.plot(centers[tram_obj.active_set, 0], tram_obj.free_energies, '-^', label=\"TRAM\")\n", "ax.plot(centers[msm.active_set, 0], -np.log(msm.stationary_distribution), '-d', label=\"MSM (kT=1.0)\")\n", "ax.set_xlabel(r\"$x$ / a.u.\")\n", "ax.set_ylabel(r\"free energy / kT\")\n", "ax.set_ylim([2, 11])\n", "ax.legend(loc=9, fancybox=True, framealpha=0.5)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, we compare mean first passage times (MFPT, kinetics) for MSM, dTRAM, and TRAM; reference values are $270 \\pm 30$ steps and $2300 \\pm 200$ steps. We observe that dTRAM and TRAM are in good agreement with the reference for the slow process while the MSM visibly overestimates the MFPT; dTRAM/TRAM slightly overestimate the MFPT of the fast process." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " MSM MFPT[red->green] = 266 steps\n", " MSM MFPT[green->red] = 4458 steps\n", "dTRAM MFPT[red->green] = 336 steps\n", "dTRAM MFPT[green->red] = 2073 steps\n", " TRAM MFPT[red->green] = 244 steps\n", " TRAM MFPT[green->red] = 1507 steps\n" ] }, { "data": { "text/plain": [ "(1, 9)" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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iinHqFiLYzE/5sYNccviNeezMX6yAPJzkehUbGspA//4wcqS+sXsTGenzsYgjcLlgiF/NTIObkmSouwOdgNfRlcSLgFSl1PtKqdFKqQZBsjGsUErlF5Zds2OWSSusYYziKb+OIIIoWtKFDP7y2e/AzkzG4XIvJb3ANUzm4qDYWiOZPr3Ijd+7uviAe0sAOnt2RkXBxx8Hx74wpcQYgYgki8gsEbkIaAhcB5wEJgOHlVI/K6UmKqUSg2Br2OBZHsrcoUyhUQ0jljrcyCtEY/PZbyGCg2zzu2yUyh5+4A028ROr+Zpt/MoqvgqWyTWLhg1h6lSwuX//cXG6PiAiAiIiWOJetDgDsLj3kZMDX34ZOpvDgICDxSJiF5EvReQWEWkL9AO+Ai4CViml9laVkeGGxxGYtpU1kwFcSRt6oNz/faKx0ZX/80kf9UYHkh9lFtfhwE4OWbzCDTjIDuyCdntlmV4zuPFGaNNGa7j06aN/P7m5kJvLgrG61cnQadPy95GbCx9+GGKjqzflzhoSkfUiMkVEzgaaAg9UnlnhjWdpaNuObeSRF2JrDJWNQnErs4kgCoC6NGUMk7EUI7cVRSwt6UIah/P32UnnU/5dMCg3F5YtK3rwyZP6pvfOO5X5I4Q3VivMmQMxMfD22/miXiLCwoULARg2bFgoLQw7KiV9VESOi0jALlcpNUoptVkplamU2lm44U04k4eT4502APDdjve5hige5izW8F2ILTOUl2OkcBTf9qOt6MZQbgbgdt6hA30ZxDgiKSpwZiWKZFb7LBs5yOJLnuMwyXrH88/DoEGwcqXvwRMnaq2cO++Ev3zjD7Wa/v3h+HE45ZT8XevXr+fQoUO0aNGC7t27h9C48CPodQRKqfPRTW6uA+oAA9GFgGFPHk6e4SJ+6/gqABk7QXCxjV95jr/xP6aE2EJDWXHh4imG8hRDiszuRvE09/Ax3dDPMWOYQiS+GS3R2GhJF7/LRk4cuoPd/v3w5JM66DluXEGl7J9/wuzZeraQkwP33Vc1P2S4UkhVdMEC3R9r6NChmATHshGKgrIngCdF5HcRcYnIfhGpEWV/3zCDrfyCpUU2lhjIOQK56fq7HLL4mCfZzbrQGmkoEz/wBkfZyzH2s5BXfb6LwcYZ/C3/s426jGdGfiBZYaEpHUlmDU4/KaMu8tjKL2TcOrpARG3PHnjjDe0UrrtOa+mAdgQffABr1hScYPJkuPXWyv2BwxiPIzDLQmUnqI5AKWUFkoDGSqkdSqkUpdRMd+ezwmNvUkqtVEqtTE1NDaaZ5UIQvmAaOWShLBCvwwQ+4nNOHHzJc6Ex0FBm0jnGu+4Cshwy+YAHSaPkv8WBjKU5nVEoIonmduZQj2bFju+9OArb9ysKHEFmpn7yf+012LLFt/FKdrbW2nG5YNcueOopHTv4owa3Ql2wAJ5+utRhmZmZ/PzzzyilOP/884NgWM0iIEeglOpRSddrCkQCI4Gz0fUJfaCo/oKIvC4iSSKS1Lhx40q6fNWRwXEyvOQEbG5H4K055CKPTfwUZMsM5WUOd/s8yTtx8A53lniMQnE7cwDFedxAe3pzK28T5ad5TVxuHHdeF43KKpQVlJMDd9xRVE5BBHbu1Df/G2/UCpx2u3YOeTUwKSEjA8aM0Q5v7doShy5ZsgSHw0FSUhINGzYMkoE1h0BnBOuVUiuUUrcopepV4Hqev/iXROSgiBwFnkenoIY1Fqw+apPxOoO0iAppcZklhurFDlbwG/NxeonLOXHwB5+xjd9LPLYtiTzCAkYzGYBEhtCDwVi92n8oLIx+vjFRR7OKnsDhKJghFCYzE/71L1i+vODmv3cvvF4DBe4ef1wrjXpURwupjHpjsoUqRqCO4DxgE/AscEAp9aFS6vyySk6IyF9ACjWw81kcdWlCu/zPHkfgvTQUQaSRmwgD8shjJuPypSK88VQKl5YWnMgQYryKzm7iVazudFOASKI573UXKgARNR8iI/WN0fu4zEx44AE4erRs56rObNkCr7yiZzwisGMHvOvu7icCK1ZoEbq1a0HExAcqSECOQEQWi8g4oBlwO9ASWIDWInpKKdWxDNecDfxTKdVEKVUf+BeEf5mlQvE3Hs1PH/S3NKSwcnEpSwuG0JPCRg5TfDFgKrvZTclLFYVpSCuu4GGiiSOKWIZxKxGPP11QIVsYq1VLI/jD3/OXwwF3363fZ2XpbKNwRQTGj9dLZB48M6F339V1FeecA5deCmeeyZ62bdm6dSsJCQmcfvrpITM7nClTsFhEMkXkbREZCJwC7AYeArYppZYqpS4P4DRPoXWhtgGbgTXgXVkTvgzkWuq4m9PXcQudpG8t+P5MrjY9CcKANvSkLb3yK4e9USha0Z0O9C3zeS/hXuJpQDRxXMUTMHYsdO5c9MYeF6d78RZuuh7njjP4qzTOydF6Ohs3wqRJ+kYarrIKH38M69cXXQrKzNQ/V0pKQXMau50F+3SNx3nduxNZWIfIEBBlzhpSSrVTSk0CFgIDgG+Am4DDwH+VUtNLOl5EckXkVhGpJyLNROQOEQmw1r56s5u1+QHjuLZgtUH2Qchxx5BX8jk5fpYbDNULheI2ZhepCQCIJIbbeQeF4gRH2MZy7GQEdN5IopjIN0zkG71spFRBhaw38fHwzDNaYM17xtCyZfEzCNDnO34cZs7Un2+8MfzkKbKz4ZZb/PcdcDr9BsUXuF+HrV9fM4PmQSDQrKE4pdTflVKLgR3AGOANoI2IjBCRt0TkKmACcH3VmVu9mcv95Lr1Y5QF6vbU+9P+1K+5OFjEayGyzlAWWtOdc7neR2k0khgGMY6THOVB+jOBljzMGYynEdO5hlS03FYWJ9nIT0WqkQHa0pPOnFawIzFRF5F5nIHNpusIYmN1gLRDB32Dj42F996Dl17y7wxsNnjoIb15llTS0wNKvaxW5OUV9CMOACfwg/v9UIBFi6rAqJpPoDOCQ8Ar6EDvEBHpLCKTReRgoXEroHa2ZHKSy27WEkEUkUQTSTT1E/WvN2O9lUiiEfJYj/lDra78xUGfzK/RPOMjGRFJDB1JYgoj2MlKXO5qYae778C9JDKZ4VxPEyYxiNvowF10ZyVeSzRZWfoG7c2UKVpj32LR0gkjRuj9FkuBxtDIkXDaaTqdsmvXostJDRpouYU1awqWVLKy9KzCW/zwu++qt1SFzQbPPVfyzMeL5UAaWnK6fV6e789qCJhAHcGDQAsRGSsiS4obJCIbRKR9pVgWZkQQyduk8gHZ+dtdiTMA6LP+H/n7HuLrEFtq8McxUriNDj59hrXk9MtEYyMaG2OYwtv8EwdFUz4FF1mksZqv81NOXThJYRPT5WrWfXQ99Oypb3AJCfqm/c47OjBat67ux2u1wptv+t7k+/aFTz+FF1/Un5XSx3kvJ8XF6Qyb224ruqTicOglIoDNm+Hii3X8oTpz/fXQvr3/oHgh8peFQEtOJyRUpWU1lkCzhl4WkbSqNqamkZio2zSsX78+xJYYSuN1biGPXHef4eP5+8/kalrSjeZ0xokDRRk1bATG3manyw1vw4YNBfu3b9ftE8eM0c5g7Fj9NNvRTwLeZZdB/foFn3v00PITMTH65nfuubB0qf919bw8XXn8xRf6GNCO5feSayFCimcm5O3sYmO1oyyEjyPIzYXhJj27PCiR0lP6lVKPlfC1C92sZp2ILK0sw7xJSkqSlYVVGcOAEydOUL9+fWJjY0lPT8fq5w/ZEHr+5Af+wyXkkEUk0ZzFNdzGbNaxiP/xTH41eB0acZIjZTp3RDa82RRsJ4sZYLPpWcCoUWUz+uRJaNtWxwO2bdNP+sU9cERG6nTLX38tcBZduugMo+r8Nzl+vNZXysnRDjI7Wwv0uTkGNAYigONAfI8eWqjPkI9SapWIJJU6LkBHkArEQH6FTAYQ736fif63iAbWAheKyOEiJ6kA4eoIANq2bcvevXvZunUrp3hJ5hqqB7k4+CedOOYV2I0iljMZxW/MK7ZRfaBEZcENt8Dgd0sYlJgI68ohRvjtt3DkiA42//ijji1k+alUjo3VMYgTJwr22Wzw7LPVW7Tu+HG9RJSTA2+9pWc0XhXX84CrgcHAj6Ad3u7d0KJFSMytjgTqCAKNEVwEHET/3mNFJAGIBUa59w9By0k3BqOq5o1ZHqrefMlzPhpRoKuHl/JOhZ0AgCMOPpgCxYsjoJ9iP/xQ9xz44YcSpRR8uPBC7QRALw+dd17Rfr42G/Tr51ucBQXVyNVZ0LFBA3j1VR3jiImBRo2gWTPdrjIujgUWffsaFhen9zdurOMghjITUfoQAGYCU0RkvmeHiOQA85RSddDaQX2VUk8DYZavVrUkJiby1VdfsX79ekaOHBlqcwxeHCOFT3maHL/B35JnyiLw10pIXQo5h7XkePYR/ZpzBBzHIaY5JHSHlk3hPQU9BboCRaR2PZLTOTl6mahOHf1a1vXul1/WSz7eOkV168KqVf7rCXJzdbXu++/rp++MDF21W5245hq9AfytQPJbRFjQujXs38+wX36B3r1DZGDNIFBHkIhOIfXHQaCb+/0WdLMZgxszI6i+fMcsnBQj7lYMJzfDvg/1VlhQsDCZO/V2EHA/t2NBy+1eD4wG6noGe57Ys7L0dtVV8Mkn+qk/UFq1gkce0bUDWVk6m+iyy3Q7R3/k5MBXX2lHdMUVkJysg9jFSVtUJQsW6P7DTZoENHzTpk3s37+fpk2b5v8fM5SfQJeGtgF3KqV8/kKUUtHAXYBHSKEZUKnxgXDHOILqxUaWcg+J5GDnLEYFpAZr3w9bn4VFvWHhqbD5Ke0EYpoqOk2w0ndKDElvw1lfwbnL4cJkuPQEnP8nDJkJD1nhCqALoIBVwK1AC7RDWI4fFUa7HW6+2bcfQSDcc49eOrFYYOhQ3bymcOWyB5tNO40vv9QtMo8e1Tn8hTlYuFyoktm5U89+rg+8FvW773Tr16FDh2KxhKK/Vg1DRErdgHPQQeEjwPvAC+7XI+79g9zjpgDTAzlnWbZ+/fpJuJKbmyvR0dECSFpaWqjNqdXkikNukbZytUTI+/KQpMtx+bvUlZGC3+3ybKT704glBkHfqyWyLtJuPDJmUU9xOp0iIpIqe+VJOV8elYFyr/SR8dJExohN/i515fd/JIjTioi+pUsWyAcg51BwTkASQWaBuLU29RYfL/L772X/QX/4QSQhQWT/fv35gw9EbLaC83q2zp1F0tNFmjQp2BcXJ7JvX8G5PvtMxGoV2bixEv4F/OByiQwaJGKx6GsvWhTAIS7p2bOnADJv3ryqsauGAKyUQO7xgQzS56MFMBVYjBaLW4yWpW4R6DnKu4WzIxAR6du3rwDyyy+/hNqUWs1n8qyMEZuMFGS0xMq/5SIZJVF+ncDAH5A6XQpu1C0uRc78TDuHkYIslbmBXfSii0TatBFp3lzfjC0WvVmtsgXkXpBGXg6hE8jXnptyQoLI/Pnl+2Fzcgreu1wiSUkiSvne8H/5RWTiRP3esz8iQmTECH1cZqZI48b6uNNO0+epbD7/3NdJtWrla7sf/vjjDwGkYcOGkp2dXfk21SACdQSlzqmUUpFKqbPcs4f7RGSwiHRzv94vIgcqMiOpDZjlodBznAPMZ1J+JlAuOazl2yK9hLMPwfIx8NN5Wjm2ThcY+AOc+Rm0uBSs0bqpzAadsFg6X3+t+xAfOKCDsXl5envgAbpYrUxF67Z8iA607QAuBi4FduXl6UyZ8uC9zu+pRo6OLvjukkugaVN44QXflFOnU2cu/fCD7gyWkaFv0Rs3wrx55bOlOOx2nRHkXQh3/DhMm1biYW+++SYA48aNIzq6qDCgoewEsriWh07T7VbaQIN/jCMIPW9ym09gWHD5ZAaJC3bMgu+6wL4PwBID3Z+GIeugybl6jAUrUcQSjY1drK6YQWPH5ksoRKPzsNcB09AFOl8Ap2ZmMunHH7H7qw0oK9276zX4qCidYvrCC/qzP4G3rCxt34svFmQbZWZqVdDCOkkVweNoCl/73//WUtN+yMjI4IMPPgDg+jLEFAwlU6ojEBEXsB3db9hQDowjCC0bWcI6FpJXTIZQXjYsHw1rbwfnSWh2EQzdCN0ehkHR1zAfYT7Cf3HyPlmdO535AAAgAElEQVTM5STTytiYpgjt2hXR0okE7kFnZowBcoAnnnqKU202FkZGwrXXwqZN5b/mM89oLZ7Jk7UDWLaseNnmw4eL1h5kZ+usJNDHDRqks44C5eBBncWUlaUDxIVnIx4cDu10/DBv3jwyMjI488wzOfXUUwO/tqFkAlk/Qs9UtwA9Axlf2Vu4xwiOHDkigNSpU0dcVbHOaiiRO6RLsQHhEalIw7P0+nxEHeSM+cjfXPq7ayRGfpL3qsaol1/WQdjCAVyvbSlIT6/4wUMgubGxIt99V/7rnjxZsNY/eHDxNnjHE7y32FgdOH7lFZGoKB1DyMz0vcYXX4hMnlz02ldcoeMj990n8sYbvrGJwltUlMgLL4j07KljLPfeK7J7twwYMEAAefvtt8v/O6hFEGCMIFCJiRVAO6ABsB+dIupzoIicVvTIyiGcJSY8NG/enEOHDpGcnEy7du1CbU6tYgqXsIZvcBXqM5y+HX65SKeCxraCs76Gel4p6RasvEem3wY1FWbFCp07D1oWesMG/XTcoIFuRv/nn5CXhxOdivc4ujr5bODD2FhaHjyoi8Uqwq5dWsCucLGZUsWnrSqlJbG/+04vE8XFadXTZ5/V33s0kOx2nZLao4fe/9NPcMEFen9srBbCGzJEzzwK41n3t1gKbIuMZKNS9HA4qFOnDgcPHsQWoFR1bSZQiYlAC8o2uLcKo5RaApwBbjF32C8iXSrj3NWZnj17cujQIdavX28cQZA5jxtYhW/bxqM/w6+XgeMY1OujawBiC0nUWLCyjd/ozjmVb1T//norTHq6DuK6l2wigEfQDuAaYBnQ225n7vnnc8Fff+nlm9Gj9c24deuy2dChA9x1l+8STWSkrk5OTvavZhobqzWLvAvgZs7UQd/OnWHiRL2E5HDoauk//tA/y3XXFdzUc3K0xpFHbM+fdHZhR5Sby1vut6MHDjROoJIJVIb6utK2Ml73dhGJd2813gmAiROECgfZzMqv69Xs+0hnBTmO6XjA4J8sxLXw/FdQRBBNLAlEEcc2gizXvH6938reQWhFx/OBo8CFK1YwcccOnPv26eYzXbroxu5l5ZFHtKSFh8hInenkT7gtMhKSkuDnn32DzDk5Wil0/XqYPVs7AhGt+/Phh7rXgveTv8sFq1frDKXTT/dVQI2IKKqXhI6XeH66G/buLfvPaSiRQGcEACilFNAKaI2Wna64KlctwTiC0PAb88nLn3zC9hmw7k79vsMt0HsGREdE8QYHsVEvRFZ6UcKyTBPgO2Ay8Bh6yegX4BOHg8agA6ydO8OAAYFfLzZWt8b0yGA/9pjWG5ozR4vYeS8bRUToNNjCS0meG/vll2sn4MGTaeR0Fg0KZ2bCTTfB4sV6ZmS3awcQFeV3JvI5Wna6F9Bv0yY9xswKKo2Aa7OVUrei4wN70DPULu79nyql/lXG605WSh1VSv2ilDqnmOvdpJRaqZRamVqdFRIDxDiC0LCar8l2N5ff826BE+g5FfrMAksERBDFTqpJDKpXL1/RuEJYgIfR+dzN0f8RT0dXeGK3l69H8YgR+sm8cWO4+269b8AAuPTSgtmJzaY/Fyc3kZWlYw6FnVhGhq9zKPzdBx/oa0ZHa0dQTIexN9yvNwAqIqL4cxrKRaDN6+8Dnkf/e5wLPm2alqDlqQPlAaAD0BJ4HfhSKVWkLZOIvC4iSSKS1Lhx4zKcvnrSrVs3rFYr27dvJ6sy8sINAaJvTAe/hpXj9Z7E56HLvb7Zm1KK2mjQsNngzDNLHTYIWAn0A5KBAcD3IrBwYdn1iUAL3C1b5rss8+KLBY6gUSP9BF/Wc7tcJctqi8DDD+vzP/qoFp4rRDLwPbohyhjQs5h61WD2VoMIdEZwG/CYiDyOfgjxZisQcMcVEVkuIukikiMic9Cz24sCPT5ciY6OpmvXrrhcLjZVJBfcEBAOssklh95cQNqvUfx+JUgedHkQTrnLd2wuOXSgX2gMLYzT6dvSsgRaAEvRgnZpwAXAa05n4P0MvKlfv2iwuUkTXXsAujJ58GAYNszvGn65sNm0E4iNha1bdX+Eu+8uUl/h0U4dCdQH3YOhOndWC0MCdQTN0KKJ/nChnXV5EShrI9jwxCwPBQdBeIYLeZbLqLexJ0uGO8izQ7vx0OOZouPb0Zs6NAi+of7Yu1ffyOvW1TdIj7KmUn6buduA+ehpdh5wM3D3ffeRV1yhWFm59Vb4/nvd6hJg1qyijiAmBs4+2/+afVQU9O1b9DubDV57rWC/zaZ/vvR0n5u8E5jtfn+DZ6e/3gqGChGoI9iBno36YyAQ0COuUqqeUmqYUipGKRWhlBrjPn5BacfWBIwjCA4r+ZIdrGDFniWcP2wIuX9B80ug72t+76WkkuwTUA4pHTro9pMnTuh197w8vXzicukMHD9Y0IHjt4EIi4Xp06dzebt2ZLz3XtHq4LJiteqgsYfmzeGJJ3xv7DEx8Nlnuh9CYaKidPWx9/KuxaIbyVx+edHx06bpa8bEgFIsQAcmOwEDIyN13cKcOSXGUQxlJ1BH8ALwoFLqEaCze18TpdT1wN3A9ADPE4nuYJaKzoL7J3CZiGwt8agagnEEVc96fuB5ruTk0Ux+HJbNsf1pNDobBnxkxRrh6wUUFqxEkEkaKYRBi8OjR0tcErkOWIRePvkyJYVzxo3jcMOG+sZZmdx5Z0EDGZsNXnpJF8LNmaNnMR48fZGbN9dLS3Fxen90tG6W488rf/SRTk9dtgx++43Xk3Qt1A0334z69VdYuhTWrKm85SmDJpDyY3f18X1AOnoG6nJvGcB9gZ6jvFu4S0x42LdvX758rpGaqHzmyRNytUTI5Xak/mlalqFuT+TyvyLkM/lPqM2rOF27ikRHa/mFwpIMFkv++60gHdyyFO1BtkRHi7z/fuXasnSpvma/fr7y1NdeW2Bf164i7p4NIiJy+eX6mHvvDfASSwWQ6OhoOXjwYOXaX0ugsvsR6HNSBxiG7rJ3AVC3LMeXd6spjsDlckn9+vUFkP2epiGGSmGdLJLREisjBWl/k74JxrVFLj5Afv+BTfJTqM2sGKmpItu3623LFpGFC7Xu0A8/FHEOh0H6u51BA5CfExJEnnpKa/dcdZXI999XvL/A5MkimzcXtTE+Xjus5ct9vztwQGT4cJGMDN/9J06ILFggsmFDvk0Oh0N69OghgDz++OMVs7MWUyWOIFRbTXEEIiKDBg0SQL799ttQm1KjeFwGy0hBkmbrm58lGjlvla/A3L/lwlCbWTU884zfWUIGyAi3M4gG+dhr1iDx8SLdu4scOlT59rz7rshdd5U+7tAhkWuu0U5DKZHISN2Y5o03ZPrzz+sZTfv2kpWVVfk21hICdQQBVxYrpWLQgd1WFM0SEhF5pYyrUrWSxMREli5dytz1z3HBBReE2pwawxZ+5sQ6WO1WL+4zC+r39R2zkSVBtyso7N3rt6+ADfgUHYh7FbjS5WI6cCfoYq6tW7WU9MaNlZuOOXas3kri8GFdM5CaqlNmQQeAU1I4eMcdPObOepoxYwax3nEHQ5UQkCNQSv0f+m+quHZJAhhHEAA9ErUa48/rf2Azy+jG2SG2qGbgOCH89jdwZes00fZ+e5bU0CzlVq108NRPJk0E8DLQFpgI/AtdoPUcYHU6tWTEt9/q5vHB5N57fZ2AF/fb7aQDI845h+HBtquWEmjW0AxgJ9AHiBYRS6HNVHcEyIHEnwFIWy9M5W/oP3lDRRARNvwjnsydUK839Jnpf1xHSlXjDU+uvbbEIjIFPAi8h07bexEYAZwEnbc/e3axx1YJ6enw8cd+ncBPaDtjgBebNQuuXbWYQB1BF2CSiKwTEZPAWw5OcpT76ce67nNBwcnNkOZIZTyNWM7/Qm1eWDN16lS2f36CyHpwxidgLWYl4QJuC65hwaJZMy0IVwpj0FINDYFv0bIUu0D3Cc7M1K8SBKmNPXv8KqzmQv6/0INA++3bq94WAxC4I1iPri42lIM8nDzOIHazhggbxHcCccLJTeDEwYuMqbnr11XMkiVLmDhxIgCnv6uI7+B/nAUruyvaXrK6MmeOfrq2lP7feSDwB3Aqugr0dGDZqlUQHw8NG+oWmrNmFd/CsjKIi/M7G5iJbnrSAbgftE2GoBCoI7gFuEspVVx1saEEVvEVR0jOFzZr4O7ldvQX/ZqLnbn6T99QBg4ePMjVV1+Ny+Wi90N1aD4ClJ84gELhwsWvzAuBlUFgwABduDV1qq76HTkSLr4YxozxW+3bAfgVnf99FDgvPT1fxoG9e+H++7UiqccZVPYsoX1730pj4AC6CxvodejYyEj4+98r97qG4gkktQhdCZyJLibLBo4U3gI5T3m3cE8ffUqG+aQx9n1Np/S1uqpg3yiJkuNyINSmhg0ul0uGDRsmgJx77rmS48wWh+SIQ3IkU9LkemkqN0lrsUtG/n6nOEs/cU1j4MAiaaWeLRfkX149ke8GcXi+j4kRGTJEpG5d/bl5c5EpU0TS0irHrnHjfGwZ7bbhEu+eyVWR2lrLoJLTR2dBddHpDT/S8O3L2migfj26TP/VK6WXLjI4Tn2ah8DC8OPVV19lwYIFRDWAm+deTJS1oK9wJFE8yiKsRBBDLW5esnev7hVss2n9/kLLPRFobZiuwO1onXlPsLZLdrYWm/Nw8KCebbzyim4/6ZGYKA85OVp/yM104AN0gPgFz06rVbeyfPjh8l/HEDABOQIRmVTFdtRomtHJZ326TheIbgzZByFzp44ZuHBRz4RhAmL79u3ce++9APR9RfFliye4kOuI1yLFALSlZ6jMqz60bKm1eTxppQcOwL59Wg9o0iTdaB6YgI4ZjEX3OOiLdgo3USjh1m7X5xg92tdJlBW7Hc44A8nI4JFt23jG3ezmxbg42rdpo52MxeKrW2SoWgKZNng2tJ7V2WiJifrufTGApSznKesW7ktDG2WpjJJon+WhllfoqXC/t/Tnp+WCUJsZFuTm5srpp58ugLQZrdy/TyXPyMXiEqPfFDDNmhVZKjoBcq3XUtFwt1RFkWWl6GhdOdy1q8iIESJffy2Sl1fy9ZxOkR9/FHniCZHffxdnbq5MmDBBALFarfLuu+8G5+euZVCZEhPomcOz6DiBCx0r6Ov+7mvgiUDOU94t3B2BU3LlGonxcQS9XtD/2dqO058XyRuhNjMsePKpJwWQ2JbIJcd9JSTuku6SLsdDbWJ4MH58sbGDD0HquZ1BE5Cv/I2LiCh4Hx8v0qmTyJ49Wv9o1CiRoUO10F12tsjs2SKNGum4A0hOTIxcHRubLyj3xRdfhPq3UWMJ1BEEmjX0b+BG9FJiB3xnjJ+j61MMxfAb87EU+lV7xwkAvuWl6tMusZqyatUqnnhiEgBJ70BUfd/v97GRZ7jI/B4DYdy4Yr8ahc4XH4zOBBmOVppcgleg0Dv9MyND9yvu2FH3GPjoI90y86abdEvJm2/WEtrZ2WQCI7Kz+a/dTgKw4LHHGDHC3D5CTaCO4O/AgyIyG9hX6LudaOdgKIZ1LCCPPCKIJgJdSFMvESITIHMXOFKiSGU3JzkaYkurL3a7nWvHXkue00Wnf0LTIf7HJbOaHawIrnHhyPz5JeoLtUYXn01FaxYtRDuGM4Ev0MsCPrhc2jlkZhbsy8zUQWp3c5ztwPnuczUGFgODXnyxamsWDAERqCOoh77h+yMKMBITJXAb7/Ah2e4thwf5kv7WSxhy1oUAjFr2Du+SRl0al3Km2svDDz/Mls1bqNMFekwpfpwTB8t4L3iGhSuHD+tgcosWunDLatUBWk/zGPTN4V5gDzAJaAD8DlwK9EJnF2UWObEv29DLCb3Rjc1/A9oAP6OD0tjt8OOPlfiDGcpDoI5gA/rf3x8XAqsrx5zaQT+G8wCfM3CgXh/66aefQmxR9Wbx4sVMnz4dq9XCWXNjiIgreXwGx4NjWDgzb56Weti/X2v/OJ36yXzFiiLdvxqii732oLOJWqJvCGOBeKApWq5iNPAI8Ba6DWEvtDbNI8A6IMF9zC9opwDoa+7eXYU/qCEQAq0jeBr4RCkVi+6VLUBvpdTl6OyzS8p6YaVUZ+BP4GMRubasx9cEPI5g2bJlIbakepLOcb7JfIUbx08C4IxHmlOv/9ESuwtHEE0bkzpafn75ResARUTotFOvWEA8cBdwK/A+WhJiIwVVpb/7OV0C+gnySmAoEF14gNWq4wiGkKJ0YDmAgUpdhc4cauO1ez9wj4iUuXZfKbUQiAX2lOYIkpKSZOXKlWW9RLXH4XBQt25dsrOzSU1NpVGj4lS+ax972cDjDOK3u06y9QUndXvBeSvAUkqrWoWVNzhAXSpQ8GTwz6BBukDNCxdaHiIZLWDneY0CLkPHBIrc/L2JjtaBZKMrVCUopVaJSKmyuwE3pnHf7OcppU5B9yU4DmyVQD2Jr3GjgBNoyZNOZT2+phAVFcUZZ5zBkiVL+Pnnn7nssstCbVK1IBcHT3Aee34/ztYXQVkh6e3SnQDgzs6qoX0HQo2f4LIF3amqFZSvs0azZsYJVAMCjRHkIyLbRORXEdlSTieQADwJ3FPKuJuUUiuVUitTU1PLepmwwcQJivIHn2LPyWTV9YDAKfcW7TZWFEUUsYCw0PRIqnwOHIAlS7RcRWV2M9u7F1abEGOoCXhGUIk8BbwlIvuUKv7JTUReB14HvTQUJNuCjokTFOU3Pmbt5ExOboL4znDq40XHRBHLAK5kKe/ShwsZxq0o93NNWxKDbHEtoFkz+P33ArmKw4f1TTwmBmbOhG3bdAqpv1RQq1ULavXurVNK69aF7t2hTh29v27d4P4shiIE1REopXoDQ9CdzgzAGWecQUREBKtXryY9PZ06deqE2qSQk7IhlS3P6Pf93vDfaCaCKM7hH5zHDXTidCIp2ujEUIlYLHDaaf6/O/10SEnR79PSdA9kl0sXmDV3iyjWqQPnnBMUUw1lJ9gzgnOAdsBe92wgHrAqpU4VkVIn/zURm81Gv379WL58Ob/++ivDhg0LtUkhJS8vj29v2I3kQoeboXExHTAc2GlND1N7UR3o00dvhrClzDGCCvI60BFdX9IbeBWtVVSr734mTlDASy+9xLble4ltCT3/U/y4ZnQ2TsBgqCTK5AiUUvWVUmcrpUYrpeq798UopQI6j4hkicghzwZkANkiUnOjwQFg4gSaXbt28bBbf77PK1qCozhOcsRoChkMlURAN3CllFUp9SyQAiwF5gLt3V9/QkGXuTIhIpNqazGZN2eddRZKKZYvX052dnaozQk6O1nJ83I1Z004haysLE65JoGWI0r+0zxJKilsDpKFBkPNJtAZwTMY9dEqo379+vTs2ROHw8Eff/wRanOCyv+YwmMM4qO58zj0fR5RDaHLi+lEEEVj2udnAnmIIpYJvMHrHKQ1p4bIaoOhZmHUR6sJtTFO8Cc/8AlPkZ6axbq79b5e0yG6sZBLNic4iJWCKjILVjrQj/O4nvqmm5vBUGkY9dFqwtln67rM2hQn+IR/k4N2Ao5j0GQItPFaKHTioAnt3YViOmX0Vt5Gmcphg6FSMeqj1YR+Z/cGYPEv3/O5c1qN700gCJtZxqGFsPc9sMRA31d1fVHBGBcnOEgM8ViJ5AJuozmdQ2e0wVBDCdQRPA3copR6E10Q5lEffQqtPvpMFdlX4xGEz5nKY817E98ZcjNdvLTmfm6mFXO4B1fRFiA1htysPNbcrN+fOgniOxYdI7i4mTdpQAuuZFIwzTMYag2Bpn1+jpYbHwJ8iw4Wvwn8AxgrIguqysCazte8yHwm4cCe377yyFIhlxwW8SpzSpZkClsUir2TGpKZDHUT4ZS7/Y/rQD/6cwkz2UUMtuAaaTDUEgKuIxCReSLSDugG/B9wKtCmPBLUBk0Odv7Lo+SQBUCT8/T+A597vs9iEa+QxpEQWVh1rFmzhjXPHwelZSSKUxa9kDsAivR8NhgMlUd5JCa2Ac2BI+VRHzUUsJbvfAKfLUZoXZ1jP0PWPohrDQoLv/JfLuSfIbS04rhwsY4FfMULbMn7hR9udOHKc9HpTmhQjIQNKA6wNZhmGqqY3NxcUlJSamW9TFUSExNDq1atiIwMQKvdDwE7AqXURejCsd7oLKHTgNVKqdeBn0TENIotI2kcJs+r31ZEPDQfDinzIWUenHKP1tT5i0MhtLLi5JLDFEawjd/IJoPtL8HhVRDbGro/VdKRwiJe43IeDJaphiomJSWFOnXq0K5dO0pSHzYEjohw7NgxUlJSaN++fekH+CHQyuK/A18AW4CbCh23Hbi+XFev5dSnBVIoGNx6lH7d95F+VVhpSKsgW1a5vM2dbOFnsskgcw9seETv7zMLIksQW21MO6ayNjhGGoJCdnY2DRs2NE6gElFK0bBhwwrNsgJdeH0YmCoi44DCT/4bwZR4lofeXEAevvrtzS7UM4O/VkLGDp01cyZXh8jCipNJGkuZgwM7IrD6JsjLhJYj9VJYcUQRyz+Ziw2jVV/TME6g8qno7zRQR9AWWFTMd9noHtWGMhJJVJGnfWsstHB3rNz3X4ghHhvh29x7E0uJcPcK2PMuHF4IkfWhz0vFHxNBFP0YQTf+L0hWGgy1m0AdwT6KbyaTBOyoHHNqF9v5g1R2F9nvvTyUQyYr+Cy4hlUiThwAZB+CdXfpfb1fgJhCChHKqzjdSiTjmREsEw21DKvVSu/evenRowcjRozgxIkTpR4zY8YMunXrxpgxY4JgYfAJ1BG8BTyulLoW8PSLUkqp84D7gTeqwriaTgKNuYKHuYwHifN66m96PkTVh5MbIGnj9TTFT6VVmNCWRHLJYc1tkPsXNL0A2oz1HRNJNL0ZRhRxRGPjGp6mHk1DY7ChxhMbG8vatWvZsGEDDRo0YNasWaUe8/LLL/PNN9/w/vvvB3QNp9NZ+qBqRKCO4D9o6ek5wHH3vl+BBcB/RcQ8vpWDprTnGp5mDJOZyFf5mjqxUTaG/e1cADL+24x29AqlmRWiBadw8GMr+z/VsY9+r/nKSIDOKrqdd4klnvo05wJuD42xhqCilKqSrSwMGDCA/fv353+eOnUq/fv3JzExkccf1+r6N998M7t27eKSSy5h+vTpZGZmMn78ePr370+fPn34/HNd+PPOO+9w5ZVXMmLECIYOHVrs+Xbv3k23bt248cYb6d69O0OHDsVutwOwY8cOhgwZQq9evejbty87d+4s9jyViogEvKG7i90EPATcDJxSluPLu/Xr109qA8/JVXKVWOQhGSALFy0UQDp37iwulyvUppWZPMmTbLHL4aOHJaaJEkD6vIyMlKLblWKRI7JHkmWt7JetoTbdUIVs2rQp/z1aqqbSt9Kw2WwiIuJ0OmXkyJHy7bffiojIggUL5MYbbxSXyyV5eXly8cUXy9KlS0VEpG3btpKamioiIhMnTpS5c+eKiMhff/0lnTt3loyMDJk9e7a0bNlSjh07VuL5kpOTxWq1ypo1a0RE5Morr8w/32mnnSaffvqpiIjY7XbJzMws0a7ifrdev+OVEsA9ttQ6AqVUDPAS8JaI/E7xKqSGCjKeGexiJbfyNk3P6USTJk3Yvn07a9asoW/f8GjpvJNVfMwTrOJrBBer744k+4jQaCB0mOD/GIViCXO4kkeDa6whpEiI6lHtdju9e/dm9+7d9OvXj/PPPx+AhQsXsnDhQvq4+y9nZGSwffv2fIl4DwsXLuSLL75g2rRpgE6J3bt3LwDnn38+DRo0KPF8bdq0oX379vTurYUm+/Xrx+7du0lPT2f//v1cfvnlgC4SK4tdFaFURyAi2UqpUUBgi2OloJR6DzgPsAGHgGdF5M3KOHe4U4+mzPT42Qi48sormTVrFh999FFYOII/+IwXGY0DPc09+C3sejcXawwMebMZWI7nB49Bp4iO4mlO43Ia0CJUZhtqGZ4YQVpaGsOHD2fWrFnccccdiAgTJ05kwoRinljciAiffPIJXbp08dm/fPlybDabzzh/59u9ezfR0dH5n61WK3a7vVjHGKhdFSHQGMGPwOBKuuZkoJ2IJACXAE8rpfpV0rlrFKNG6fShj/77IT+4ZrOGBeSSE2Kr/JPOcR8nkHsSVrv/bk99Euj8F805JT8OolC04lSGcxdNaU8k0cWc2WCoGurWrcuMGTOYNm0aubm5DBs2jLfffpuMjAwA9u/fz5EjRXW+hg0bxksvvZR/416zZo3f8wd6Pg8JCQm0atWKzz7TWYI5OTlkZWWV+TzlIVCJiVnAm0opG/ANcBh8O4eLyKZATiQiG70/ureOwKoAbak19DyzK/VaxbFvbwpP/z6eRmcqYonnQu7gKiZhLZdUVNWwmLd8Pv95P9j3Qf0k6HwXOMnhMDuJJg4HdiKJ4VZmmyYzhpDSp08fevXqxUcffcTYsWPZvHkzAwYMACA+Pp733nuPJk2a+Bzz6KOP8q9//YvExEREhHbt2vHVV18VOffQoUP9ns9qLb6P19y5c5kwYQKPPfYYkZGRzJ8/v9jzFLarIqhA1umUUoVF8b0PUugATcBdypRSL6MlrGOBNcBAEckoNOYmdGCaNm3a9NuzZ0+gp68RZJLGA/Tl+3t3s/U5F53ugN4v6u+iiKMn53I/n1cbVc6nuYB1aDXyA1/Ar5eCJQrOWwl1e+oxcdTlUh7gQx5iGLdyA6Wn7RlqFps3b6Zbt26hNqNG4u93q5RaJSJJpR0b6F1kcKHtXK/N8zlgRORWoA5wNvApFF3vEJHXRSRJRJIaN25cltPXCD5jCsfYT8urtQ9OmQfiVqNwkMUGFrOGb0JooS+e2Yn9IKx0K0/1mFLgBEA34enOOYznJUYzOQRWGgwGfxTrCJRSbyulPFJ2AqwSkaXFbWW9sIjkicjPQCvglvKZXzNx4WIhr+Akh/pJYOugK3NTvfra55DJlzwXOiML0Z9LsbqiWDEOHEeh6VDofKfvGBd5tKVyiwIAABeeSURBVKcPF3I7cUaVxGCoNpQ0IxgHeB7FF1N1wnIREMals1WAnfT8oKtSRRVJPexnS5At88VJLntYzwG2MoCr2fyCgyOLIKoRJL0DqtBfV1fOIoqYkNhqMBiKpyRHcBA4RykVj44DxCil4orbArmYUqqJUmqUUipeKWVVSg0DrkFnJRncRBGDy0uV1Ed76FjBuOgQtW7MJYcPeJjracx99OEuejBqbUs2TNTfJ70Fsc2LHreN33z6LxgMgbL54MlQm1CjKckRvA5MAdLQS0OLgfQStkAQ9DJQCvAXMA34l+ieyAY3kUTTymsCVrenXmpxnoQtzxSMO4O/Bd22XBxMYjBfMZ0s0hBcOLKcLB2dgcsBHW6GFpf4P9ZKJEfZF1yDDWHP4q1HuPDFZSzZWvNatlYXis0/FJEnlVJfo3sUvws8TQWrikUkFRhUkXPUFs7iGvbyZ/7nHlO0hPPOmdDpDrC1hbMYFXS7FvIqu1lHrnvpCmD9vZC+Gep0hUQ/YYtIojmba7kFUzdoKBs5zjwe+Hg9APd/vJ5lDwwmOiLgBEVDgJSYNSQiq0S3oJwDzBaROcVtwTG3diAIPzHXZ1/9PtB6NLgcsOkx3cv4W2YG3bavmIaDrPzPB76AXa+AioTTPoCIOG2bNxFEM5apwTbVUAN4ZfFO0rP1cmJ6tpNXl1Rc4UYpxdixBRK4TqeTxo0bM3z4cAAOHz7M8OHD6dWrF6eeeioXXXQRoCuClVI8+miBFMrRo0eJjIzk9tvDWygxoPRREblORJKr2hiDRhBa0pVTGUSsV3ZN96f0DXfPXGjwZx8SaBRUu/JwcpSU/M8Zu2DleP2+52TtrAoTjY1/MJ146gfJSkNNIeWvLF79aSf2XB0vs+fm8crSnaT8lVXKkSVjs9nYsGFDvuLnokWLaPn/7d15fFTV2cDx3zNZJhsgQRYlhRAKiGwBgwqWABUaAaUGeAEpVSuIUWjRqrVuCBZ8ZbGuaMViUdo3Q2NBS7EgsgRcWoUSFJfIUiirxCg0BLKf9487GTLZGMgsyczz/Xz4fCZ37rnzXMLlmXvuOc9p3971/qxZsxg+fDg7d+7k888/58knn3S9l5SU5DZ5LCsrix49ejQonsagccxGUm5s2LiflcxhMwvZ4SrLEJcEl2fEgIFDD7ZjMvN9HssJvuZNFvIQA/k/HnbNBC45Ae+PgpJ8a42BLvecbRNDC2fMQls6M4RbfR6nCj4PrfyU0nL3Ca9l5YaHV+1q8LFHjBjBmjVrAMjMzOSmm25yvXf06FESEs6uHNi7d2/X6+joaLp37862bdsAWLFiBePHj29wPIGmiaCRa0sS1/NLIonGTgzPPrKUuLg41qxZw9zsDDLowCSiWEA6X/AeBu9UdDQYVvAYd5GIg4fZzYesZiFgqCiFf4yDgi+heQ+42lF1qKhwDRNJwXpiPINljWb2s2o6Nuce5+P931FeUS0RVBg++ve3ZH+V16DjT5w4EYfDQVFREZ988glXXXWV673p06czZcoUhg4dyrx58zhy5EitbQ8dOkRYWBiXXtr0CybqFdoEjOFhYmjBZfyAa9tMZMr91nJ5zzywhG/MQUop5mPeZB7X8RJTvZIMVvNbVrOIUooopxSwkkOFMfzrTji+Aext4Zo1EOG2vrxhIBOZymLuJYtOda5wqlTdlmzZ5+oSqu5MaTlLtjTsWUHv3r3Zv38/mZmZrmcAldLS0ti3bx+33347X375JX379iUv72ziue6661i/fj2ZmZlMmDChQXE0FpoImgA70czlfe7GwRkKyPulA3sbyP+n4UiV5YyLKeQDHLzNsw36vFKKeYM5FFOzLzZ3AexfCmHRcM1frdFL1a1jMc1oFZDhrSo4TEtNIjqi9tFB0RFhTEtt+BzU0aNHc99997l1C1WKj49n0qRJLF++nP79+7Nly9lp/ZGRkVxxxRU89dRTjB0bHP/GNRE0EW1JIo6WbOGPSFwZlztXq9v1IFRUmaNVzGlW8b+UU/u3KU98ygaopSrooTdg16+t1/2XQ/yVNdvaCGtUVVFV0zSkWxv6J7YkzOb+7zDcJlzZKZ7BXRtef+y2225j1qxZ9OrVy237xo0bOX3a+hJUUFDA3r176dChg9s+9957L/Pnz6dVq1YNjqMx0ETQxHzInymmkE63Q2xnKMiF/X9w36eY0xwh94I/4xTfYnAvOJv/T/jIOeKu13xIqOWLkJ1Y7mMlM72zhpEKcU+M6UVEWLVEECY8MaZXHS3OT0JCAjNnzqyxffv27aSkpNC7d28GDBjA1KlT6d+/v9s+PXr04JZbbvFKHI2BR2WoAy0lJcVUPqUPdQ8zkK/4EICDK+CfEyHqEvjR5xB5kbVPNM2ZQzadSPb4uKWU8DlbOM5eYmnJi0yhGKsyeEEubE6F4uOQOAWueKXmAvQ2wriMHzCbTbrGgKrT+Zahfmb9V7zsfF4QHRFGxuAkZg7r6sMImy5/lKFWjUQ3rnG9Tvgfa+GXoqOwddjZOkQlnOZZJjGBCO4ikb+yiEJO1Ho8g2ElTzCVNjzBCJaQwfPcTClFAHy9HjZebSWBNtdCv5esJCDYiKhSQC6cSO5kqSYB5VV3Du1Msyirq7F5dDgZQ7Q+pS9oImhirmO667XYYMBfrC6i77bDlqFQdBzKKecwX1BBGXkcYAWzmMllfE3NOYGvcBcreYLTnKTCWRCujGLKTRl7nof3RkDpCbj0Rhj4JtginJ+Njb6MIJxIIolhJDNpp0VklZfZw8NYMM4axz9/bG8tL+EjmgiamDwOYOPsxRDTAYZsser8nPwUsgfDmSPu3X0lnOG/5DGP69yGlv6HXWTzGsUUuu1fUQL/yoCcX1iL4Vz2sJVwwuOq7EMZSaQQRjhRxDGOR1HKF4Z0a8PfZw5iSDfvLc2o3OnwjibmXZY4XwmVK4ZGXwqDs63uoZOfWv35qRvch3YaKviWw3xGNpfQhQiiWMsLlDnnCFQqzocPx8I32WCzQ8qr0GGSewzh2BnKz0hlMgl0pzmtseNRJXKlLkj3S3QhI1/SRNDEZPB7JrOAQ3zGfH7s6suPaiMM3iRsTavgu+2QnQqpGyGuSm9NMYU8yfWu+QER2F3dQcbAN1th28+gcB9EtYOBb9U2RFS4lK5MZTE2bLSmQ/UdlFJNjCaCJsZONHba04r2DOZmsnmdUooIJwJ7qwgGvVvIeyPh2w+tO4Mev4GLr4G4rtZD3qrdQKUUcWof/Ge5Vciu0DlZs+UVMOBNiEmo+fmRRDGD17RshPKLU8VlrNt1jLxTxbSOs5PWsx1xdv1vy9v0am7CJjOfCOyEY2ckd1NBOZEXwaB1cHEqFB2B7VNg3WWwujW8Pxq+fBLysmHfK7BpEKztDJ/PtpJA1CXQ7UEYvOVsErATS6Sz2ycCOz9gkpaNUD5njGHxpj2kzF3Po2/tYtG6XB59axcpc9ezeNMevDXsffbs2cTGxpKcnMzll19OdHQ0ycnJJCcn88Ybb3DrrbfSqVMnkpOT6dOnDxs2bHBrn5eXR0REBC+//LLb9sTERAYNGuS2LTk5mZ49e3olbm/TRNCExXIRU1nMpXRlEvMIJxKAiGYwaC30eRbaj7FqApXkw9HV1kzk7CHwr2mQ/x6ExUCHyTDoHRh1EHo9Ya0pUCmJK1yjgSJ0XQHlJy9u3ssLG/dQVFrB6ZJyyioMp0vKKSqt4IWNe3jRC+sSVJozZw45OTm8/fbbdO7cmZycHHJychg3bhwACxcuJCcnh2eeeYaMjAy3tllZWVx99dVkZmbWOG5BQQEHD1or8n3xxRdei9cX/JoIRMQuIktF5ICIFIjIDhEZ4c8Ygs0gfsIidlJGqet5AVi1gLr8whrtc/1RGLHPKguRdCdc1A/aDIf+r8H1x+DK5dB2OEgtI/P28jFTeAEQbua3uq6A8rlTxWU8v3F3vUXnXti4h8LiC1v/et68eXTr1o1hw4aRm+v5DPwBAwZw+PBht22ZmZk89dRTHDp0qMZ748ePZ8WKFa79aqtp1Fj4+44gHDiItVxlC+BR4M8ikujnOIKKIHzBFsooqf19gdhO0HEy9HsRhm2H1Heg483W3UPtx7SRwmgGMJ7v0ZNF5DCUn/nwLJSyrNt1DFv1qevV2ATWfXbsvI+9fft2HA4HO3bsYOXKlXz88ccet127di033nij6+eDBw9y7NgxrrzySrf/9CuNGzeOlStXArB69WpuuOGG847XX/yaCIwxhcaY2caY/caYCmPM34B/A1f4M45glEwaf6SQX/AnV5/++YjA7nptJ5afsoAHeIsZLKMZ8XSktz4gVn6Rd6qYkrKKevcpLqvgeEHxeR9769atpKenExMTQ/PmzRk9evQ529x///0kJSUxefJkHnroIdd2h8PhWpRm4sSJNbqH4uPjadmyJQ6Hg+7duxMT03iHWAf0yhaRtkBX4LNAxhEs7MTwA26iE33d1g32JDGM5G7sxALQgraMpGYxLqX8oXWcncjw+v9rsofbaNPMXu8+dZFz3G1Ut3DhQvbs2cPcuXPdCs1lZmaybNkyEhMTGT16NDt37mT37t1ubSdMmMD06dMbdbcQBDARiEgE8CfgNWPMl7W8P01EtonItqqLQqj6CcJdvOr6hm8nhrYknbNVMadJJBnBxnT+oKWkVcCk9WxHxTlGBVUYSOvR7ryPnZqayqpVqzhz5gwFBQWsXr3ao3Y2m42ZM2dSUVHBunXryM3NpbCwkMOHD7N//37279/Pgw8+iMPhcGuXnp7Or371K9LS0s47Vn8KSCIQERuwHCgBZtS2jzFmiTEmxRiT0rp1w2uPh5JL6Uoad2EjjO6kYieGeNrXsbdwMd/jv+Txc17npyzkclL9Gq9SVcXZw/n5D7vUuzDNjB9+n9gLmE/Qr18/JkyYQHJyMmPHjq0xxLM+IsIjjzzCggULyMzMJD093e39sWPH1ugeatasGQ888ACRkZHnHas/+b0MtVj3Za8CicBIY8yZc7XRMtTnr4hCFpJOBq/QGqvWxMvc4ZqABpXPAhaSxp2BDFWFEE/LUBtjeHHzXp7fuJswEYrLKrCH2yg3hp//sAt3Del83l08wa4hZagDcf//EtAdGOZJElAXJopYHuUdt22Tmc8HrHAlglZ8j2FMC0R4StVLRJg+9PvcMjCRdz47xvGCYto0s5PWo90F3Qmo+vn1b1REOgJ3AMXAsSoZ/Q5jjC5r5WOxXMStPMNSZmCoYAavEYaW9VWNV5w9nDH9aql1orzKr4nAGHOA2hbDVX4zmJt5m2fpQC+6UMuiw0qpkKP3WCHGho25vO8qR6GUUpoIQpCuHaCUqkqniiqlGjVjDGt3HfNaxVFVkyYCpVSjtin3OBl/3M6m3OMNPlZ+fr6rzHS7du1o376962cRcZWKvuGGGzhx4oRb26effpqoqChOnjzp2rZ582ZEhKVLl7q27dixAxFh0aJFDY7XXzQRKKUaLWMM89ZYJZznrfmiwXcFrVq1cpWZzsjI4J577nH9HBsbS05ODrt27SI+Pp7Fixe7tc3MzKR///6sWrXKbXuvXr3cCs45HA769OnToDj9TROBUqrR2pR7nKMnrXkvR08WeeWuwBPVS07v3buXU6dOMXfu3Bqzhzt06EBRURFff/211Y21di0jRjSt6vqaCJRSjVLl3cDpEmtdgtMl5V65KziX8vJyNmzY4FaZtHI9gUGDBpGbm8vx4+4Jady4cWRlZfHBBx/Qr18/7PYLK4gXKJoIlFKNUtW7gUq+vCs4c+YMycnJtGrVim+//Zbhw4e73nM4HEycOBGbzcaYMWPIyspyazt+/HiysrIa/QI0ddFEoJRqdKrfDVTy5V1BdHQ0OTk5HDhwgJKSEtczgk8++YTdu3czfPhwEhMTcTgcNbqH2rVrR0REBOvXr+faa6/1emy+polAKdXo1HY3UMnXzwpatGjBc889x6JFiygtLSUzM5PZs2e7yk0fOXKEw4cPc+DAAbd2jz/+OPPnzycsrOmVbdFEoJRqVOq6G6jkj2cFffv2pU+fPjgcDhwOR42S0+np6TXWHhg4cKDbUpZNid/LUF8ILUOtVHDwpAx19ld53PrqR9RXZdoYWHbblQzuqmuVVGpqZaiVUqpOHeNjuC+tm0f7Ke/QRKCUalQSL45l+tDvBzqMkKLPCJRSftUUuqObmob+nWoiUEr5TVRUFPn5+ZoMvMgYQ35+PlFRURd8DO0aUkr5TUJCAocOHSIvLy/QoQSVqKgoEhIufCU3TQRKKb+JiIigU6dOgQ5DVeP3riERmSEi20SkWESW+fvzlVJKuQvEHcERYC6QBkQH4POVUkpV4fdEYIxZCSAiKcCFd2oppZTyikb7jEBEpgHTnD+eEpHcQMZTj4uBbwIdRICE6rmH6nlD6J57Uz3vjp7s1GgTgTFmCbAk0HGci4hs82QKdzAK1XMP1fOG0D33YD9vnUeglFIhThOBUkqFOL93DYlIuPNzw4AwEYkCyowxZf6OxUsaffeVD4XquYfqeUPonntQn7ffy1CLyGzgsWqb5xhjZvs1EKWUUkATWY9AKaWU7+gzAqWUCnGaCJRSKsRpIvACEbGLyFIROSAiBSKyQ0RGBDoufwil2lEiEi8iq0Sk0Pm7nhTomPwhlH7HVYXSdd1oJ5Q1MeHAQWAw8B9gJPBnEelljNkfyMD8IJRqRy0GSoC2QDKwRkR2GmM+C2xYPhdKv+OqQua61ofFPiIin2CNhvpLoGPxBxGZCyQYY24NdCy+ICKxwHdAT2PMV85ty4HDxphfBzQ4Pwn237EngvW61q4hHxCRtkBXINi/KYaSrkB5ZRJw2gn0CFA8ys+C+brWROBlIhIB/Al4zRjzZaDjUV4TB5ystu0k0CwAsSg/C/brWhOBB0Rks4iYOv68V2U/G7Acqx95RsAC9hJPzztEnAKaV9vWHCgIQCzKj4Ltuq6NPiz2gDFmyLn2EREBlmI9SBxpjCn1dVy+5sl5h5CvgHAR6WKM2e3c1ocg7CZQZwXjdV0bvSPwnpeA7sANxpgzgQ7GX0Qk3FkvylU7yllPKqgYYwqBlcDjIhIrItcAP8b6phjUQuV3XIeQuK41EXiBiHQE7sAaUnhMRE45//wkwKH5wyPAGeDXwGTn60cCGpHv3IU1fPI4kAncGQJDRyG0fscuoXRd6/BRpZQKcXpHoJRSIU4TgVJKhThNBEopFeI0ESilVIjTRKCUUiFOE4FSSoU4TQRKKRXiNBEopVSI00SgVD1EZLyIHHPWnFEqKGkiUKp+o4C3jU7BV0FME4FSdXCWH74OWBPoWJTyJU0EKqiJyGDn+gkjqmzrJCLHReS5czTvD7QE1tdx7AEi8lcROeJc0D7Hk4JkznUe3qi2bYgzzp4enJZSXhUqpWRViDLGZIvIJuBR4O8i0gL4G/ARcM85mo8Cthpj/lvH+x2B94HfAUXANcAfRKTCGJPplRNQyg80EahQ8BiwRUR+BNwLlAITjTHl52g3Cmt5wloZYxyVr50Pk7cACcDtWGWqlWoSNBGooGeM2Soi7wKrgBPAVcaYU/W1EZFLgL7ApHr2aQnMwVqgpj3Wwi0Ah70Rt1L+os8IVKjYA8QAjxljDnmw/0hgnzEmt559lgETgIXAj7CeKbwKRDUsVKX8S+8IVNATkWnAbcBOYCrwew+ajaKe0ULOpRtHATOMMb+rst2TL1dFQGS1bfEetFPKJ/SOQAU1ERkOvIDVb58BXFV1BFEdbSKBYdQ/bNSO1RVUXKVdM2C0B2EdAi6rtm24B+2U8glNBCpoiUgPIAtYYIx53RjzD+BdrH79+qRiXRvZde1gjDkJfAzMEpGxIpLuPPbJWuK4WUTKnGvggvWsoouIPC0iw0RkHpDmQTulfEITgQpKItIGa5joeqyho5V+A/QXkVH1NB8FvGuMKa5nH7AeJP8beB14FviL83V1Nqy7BwEwxqwBHgLGYSWFjsDd52qnlK/o4vVKVSMiXwELjTGvBDoWpfxBE4FSSoU47RpSSqkQp4lAKaVCnCYCpZQKcZoIlFIqxGkiUEqpEKeJQCmlQpwmAqWUCnH/D7xybsZ0QiBoAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Run PCCA to find metastable sets\n", "msm.pcca(2)\n", "dtram.msm.pcca(2)\n", "tram_obj.msm.pcca(2)\n", "\n", "# Print MFPTs\n", "print(\" MSM MFPT[red->green] = %6.0f steps\" % msm.mfpt(msm.metastable_sets[0], msm.metastable_sets[1]))\n", "print(\" MSM MFPT[green->red] = %6.0f steps\" % msm.mfpt(msm.metastable_sets[1], msm.metastable_sets[0]))\n", "print(\"dTRAM MFPT[red->green] = %6.0f steps\" % dtram.msm.mfpt(\n", " dtram.msm.metastable_sets[0], dtram.msm.metastable_sets[1]))\n", "print(\"dTRAM MFPT[green->red] = %6.0f steps\" % dtram.msm.mfpt(\n", " dtram.msm.metastable_sets[1], dtram.msm.metastable_sets[0]))\n", "print(\" TRAM MFPT[red->green] = %6.0f steps\" % tram_obj.msm.mfpt(\n", " tram_obj.msm.metastable_sets[0], tram_obj.msm.metastable_sets[1]))\n", "print(\" TRAM MFPT[green->red] = %6.0f steps\" % tram_obj.msm.mfpt(\n", " tram_obj.msm.metastable_sets[1], tram_obj.msm.metastable_sets[0]))\n", "\n", "# Plot the free energy profile with color-coded metastable assignment\n", "fig, ax = plt.subplots()\n", "ax.plot(reference[0, :], reference[1, :], linewidth=2, color='black', label=\"Reference\")\n", "ax.scatter(\n", " centers[msm.active_set, 0], -np.log(msm.stationary_distribution),\n", " c=msm.metastable_assignments, cmap=mpl.cm.prism, s=80, label='MSM', marker='d')\n", "ax.scatter(\n", " centers[dtram.msm.active_set, 0], dtram.f_full_state[dtram.msm.active_set],\n", " c=dtram.msm.metastable_assignments, cmap=mpl.cm.prism, s=80, label='dTRAM')\n", "ax.scatter(\n", " centers[tram_obj.msm.active_set, 0], tram_obj.f_full_state[tram_obj.msm.active_set],\n", " c=tram_obj.msm.metastable_assignments, cmap=mpl.cm.prism, s=80, marker='^', label='TRAM')\n", "ax.set_xlabel(r\"$x$ / a.u.\")\n", "ax.set_ylabel(r\"free energy / kT\")\n", "ax.legend(loc=4)\n", "ax.set_ylim([1, 9])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Conclusion\n", "\n", "This notebook illustrates how we can use PyEMMA's thermo package to analyze multi-temperature simulations. We have learned how to\n", "\n", "* invoke the ``pyemma.thermo.estimate_multi_temperature()`` API function,\n", "* specify a certain estimator (WHAM, dTRAM, or TRAM)\n", "* visualize implied timescales for arbitraty thermodynamic states\n", "* visualize the convergence behaviour of an MEMM estimation\n", "* access thermodynamic and kinetic information\n", "\n", "We have also seen that transition-based reweighting of mixed biased and unbiased data outperforms traditional approaches." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "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": "3.6.4" } }, "nbformat": 4, "nbformat_minor": 1 }