{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Analyzing the MSTIS simulation\n", "\n", "Included in this notebook:\n", "\n", "* Opening files for analysis\n", "* Rates, fluxes, total crossing probabilities, and condition transition probabilities\n", "* Per-ensemble properties such as path length distributions and interface crossing probabilities\n", "* Move scheme analysis\n", "* Replica exchange analysis\n", "* Replica move history tree visualization\n", "* Replaying the simulation\n", "* MORE TO COME! Like free energy projections, path density plots, and more\n", "\n", "NOTE: This notebook uses our old analysis approach. See the \"new analysis\" appendix notebook for details on how to customize analysis." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "from __future__ import print_function" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Using file `mstis.nc` for analysis\n" ] } ], "source": [ "# If our large test file is available, use it. Otherwise, use file generated \n", "# from toy_mstis_2_run.ipynb. This is so the notebook can be used in testing.\n", "import os\n", "test_file = \"../toy_mstis_1k_OPS1.nc\"\n", "filename = test_file if os.path.isfile(test_file) else \"mstis.nc\"\n", "print(\"Using file `\"+ filename + \"` for analysis\")" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "import openpathsampling as paths\n", "import numpy as np" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 3.37 s, sys: 634 ms, total: 4.01 s\n", "Wall time: 4.04 s\n" ] } ], "source": [ "%%time\n", "storage = paths.Storage(filename, mode='r')" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "run_control": { "marked": false }, "scrolled": true }, "outputs": [], "source": [ "# the following works with the old file we use in testing; the better way is:\n", "# mstis = storage.networks['mstis'] # when objects are named, use the name\n", "mstis = storage.networks.first" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Reaction rates\n", "\n", "TIS methods are especially good at determining reaction rates, and OPS makes it extremely easy to obtain the rate from a TIS network.\n", "\n", "Note that, although you can get the rate directly, it is very important to look at other results of the sampling (illustrated in this notebook and in notebooks referred to herein) in order to check the validity of the rates you obtain." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "By default, the built-in analysis calculates histograms the maximum value of some order parameter and the pathlength of every sampled ensemble. You can add other things to this list as well, but you must always specify histogram parameters for these two. The pathlength is in units of frames." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "mstis.hist_args['max_lambda'] = { 'bin_width' : 0.05, 'bin_range' : (0.0, 0.5) }\n", "mstis.hist_args['pathlength'] = { 'bin_width' : 5, 'bin_range' : (0, 150) }" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "scrolled": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/dwhs/Dropbox/pysrc/openpathsampling/openpathsampling/high_level/network.py:710: FutureWarning: set_value is deprecated and will be removed in a future release. Please use .at[] or .iat[] accessors instead\n", " rate)\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 7h 16min 42s, sys: 38min 29s, total: 7h 55min 12s\n", "Wall time: 17h 5min 6s\n" ] }, { "data": { "text/html": [ "
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ABC
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" ], "text/plain": [ " A B C\n", "A NaN 0.00216107 0.00187706\n", "B 0.00117093 NaN 0.00119613\n", "C 0.001321 0.00186286 NaN" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "%%time\n", "mstis.rate_matrix(storage.steps)" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "The self-rates (the rate of returning the to initial state) are undefined, and return not-a-number.\n", "\n", "The rate is calculated according to the formula:\n", "\n", "$$k_{AB} = \\phi_{A,0} P(B|\\lambda_m) \\prod_{i=0}^{m-1} P(\\lambda_{i+1} | \\lambda_i)$$\n", "\n", "where $\\phi_{A,0}$ is the flux from state A through its innermost interface, $P(B|\\lambda_m)$ is the conditional transition probability (the probability that a path which crosses the interface at $\\lambda_m$ ends in state B), and $\\prod_{i=0}^{m-1} P(\\lambda_{i+1} | \\lambda_i)$ is the total crossing probability. We can look at each of these terms individually." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Total crossing probability" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "stateA = storage.volumes[\"A\"]\n", "stateB = storage.volumes[\"B\"]\n", "stateC = storage.volumes[\"C\"]" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "tcp_AB = mstis.transitions[(stateA, stateB)].tcp\n", "tcp_AC = mstis.transitions[(stateA, stateC)].tcp\n", "tcp_BC = mstis.transitions[(stateB, stateC)].tcp\n", "tcp_BA = mstis.transitions[(stateB, stateA)].tcp\n", "tcp_CA = mstis.transitions[(stateC, stateA)].tcp\n", "tcp_CB = mstis.transitions[(stateC, stateB)].tcp\n", "\n", "plt.plot(tcp_AB.x, tcp_AB, '-r')\n", "plt.plot(tcp_CA.x, tcp_CA, '-k')\n", "plt.plot(tcp_BC.x, tcp_BC, '-b')\n", "plt.plot(tcp_AC.x, tcp_AC, '-g') # same as tcp_AB in MSTIS" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We normally look at these on a log scale:" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "scrolled": true }, "outputs": [ { "data": { "text/plain": [ "(0.0, 1.0)" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.plot(tcp_AB.x, np.log(tcp_AB), '-r')\n", "plt.plot(tcp_CA.x, np.log(tcp_CA), '-k')\n", "plt.plot(tcp_BC.x, np.log(tcp_BC), '-b')\n", "plt.xlim(0.0, 1.0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, in case you want to know the total crossing probabability at each interface (for example, to use as a bias in an SRTIS calculation):" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "# TODO: MOVE THESE TO A METHOD INSIDE THE CODE; MAKE THEM WORK WITH NEW ANALYSIS" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "import pandas as pd\n", "def crossing_probability_table(transition):\n", " tcp = transition.tcp\n", " interface_lambdas = transition.interfaces.lambdas\n", " values = [tcp(x) for x in interface_lambdas]\n", " return pd.Series(values, index=interface_lambdas, name=transition.name)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "def outer_crossing_probability(transition):\n", " tcp = transition.tcp\n", " interface_outer_lambda = transition.interfaces.lambdas[-1]\n", " return tcp(interface_outer_lambda)" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.2 1.000000\n", "0.3 0.196129\n", "0.4 0.046583\n", "Name: Out A, dtype: float64" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "crossing_probability_table(mstis.from_state[stateA])" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.04658301849747119" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "outer_crossing_probability(mstis.from_state[stateA])" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.04658301849747119" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "tcp_AB(mstis.from_state[stateA].interfaces.lambdas[-1])" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [], "source": [ "tcp_A = mstis.from_state[stateA].tcp" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Flux\n", "\n", "Here we also calculate the flux contribution to each transition. The flux is calculated based on " ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "{(,\n", " ): 0.2012342366514623,\n", " (,\n", " ): 0.20868484148832256,\n", " (,\n", " ): 0.2328636255075233}" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "flux_dict = {\n", " (transition.stateA, transition.interfaces[0]): transition._flux\n", " for transition in mstis.transitions.values()\n", "}\n", "flux_dict" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "State Interface \n", "A 0.0\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
ABC
ANaN0.2305360.200239
B0.214964NaN0.219591
C0.1132780.159743NaN
\n", "" ], "text/plain": [ " A B C\n", "A NaN 0.230536 0.200239\n", "B 0.214964 NaN 0.219591\n", "C 0.113278 0.159743 NaN" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" } ], "source": [ "state_names = [s.name for s in mstis.states]\n", "outer_ctp_matrix = pd.DataFrame(columns=state_names, index=state_names)\n", "for state_pair in mstis.transitions:\n", " transition = mstis.transitions[state_pair]\n", " outer_ctp_matrix.at[state_pair[0].name, state_pair[1].name] = transition.ctp[transition.ensembles[-1]]\n", "\n", "outer_ctp_matrix" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
012
(A, B)0.0099000.0397490.230536
(A, C)0.0016910.0595990.200239
(B, A)0.0089550.0130340.214964
(B, C)0.0134320.0449730.219591
(C, A)0.0052240.0197500.113278
(C, B)0.0040790.0463160.159743
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" ], "text/plain": [ " 0 1 2\n", "(A, B) 0.009900 0.039749 0.230536\n", "(A, C) 0.001691 0.059599 0.200239\n", "(B, A) 0.008955 0.013034 0.214964\n", "(B, C) 0.013432 0.044973 0.219591\n", "(C, A) 0.005224 0.019750 0.113278\n", "(C, B) 0.004079 0.046316 0.159743" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" } ], "source": [ "state_pair_names = {t: \"{} => {}\".format(t[0].name, t[1].name) for t in mstis.transitions}\n", "ctp_by_interface = pd.DataFrame(index=state_pair_names.values())\n", "for state_pair in mstis.transitions:\n", " transition = mstis.transitions[state_pair]\n", " for ensemble_i in range(len(transition.ensembles)):\n", " state_pair_name = state_pair_names[transition.stateA, transition.stateB]\n", " ctp_by_interface.at[state_pair_name, ensemble_i] = transition.conditional_transition_probability(\n", " storage.steps,\n", " transition.ensembles[ensemble_i]\n", " )\n", "\n", "ctp_by_interface" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Path ensemble properties" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [], "source": [ "hists_A = mstis.transitions[(stateA, stateB)].histograms\n", "hists_B = mstis.transitions[(stateB, stateC)].histograms\n", "hists_C = mstis.transitions[(stateC, stateB)].histograms" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Interface crossing probabilities\n", "\n", "We obtain the total crossing probability, shown above, by combining the individual crossing probabilities of " ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [], "source": [ "hists = {'A': hists_A, 'B': hists_B, 'C': hists_C}\n", "plot_style = {'A': '-r', 'B': '-b', 'C': '-k'}" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "for hist in [hists_A, hists_B, hists_C]:\n", " for ens in hist['max_lambda']:\n", " normalized = hist['max_lambda'][ens].normalized()\n", " plt.plot(normalized.x, normalized)" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [], "source": [ "# add visualization of the sum" ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "scrolled": true }, "outputs": [ { "data": { "text/plain": [ "(0.0, 1.0)" ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "for hist_type in hists:\n", " hist = hists[hist_type]\n", " for ens in hist['max_lambda']:\n", " reverse_cumulative = hist['max_lambda'][ens].reverse_cumulative()\n", " plt.plot(reverse_cumulative.x, reverse_cumulative, plot_style[hist_type])\n", "plt.xlim(0.0, 1.0)" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(0.0, 1.0)" ] }, "execution_count": 27, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "for hist_type in hists:\n", " hist = hists[hist_type]\n", " for ens in hist['max_lambda']:\n", " reverse_cumulative = hist['max_lambda'][ens].reverse_cumulative()\n", " plt.plot(reverse_cumulative.x, np.log(reverse_cumulative), plot_style[hist_type])\n", "plt.xlim(0.0, 1.0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Path length histograms" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "data": { "image/png": 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eYhpEr85Sfn4Oz65Rm60QGooTyg7gzs42BKClHpCn/ByAQHhJSYmBNUlmz9JAPp/Pk0wmtQPQaDQrRjcCsAY43vT+BO0P8fOOEZH1wHXAD5s23x2EjD4rIplOHy4id4rIbhHZPT093cXlnpvmJHA9BxD2VKO4W2z7AKrsUto9CQqsVXHMbJba7CzpuC8cSyuCVgtVIrFQox9AnYE1Scr5KqVc6wPe8zyKxaJ2ABqNZkXpRgA61UleWuPgnGNEJAn8E/CHSql6u6xPAJuAncAE8BedPlwp9Sml1C6l1K6hoaEuLvfcKMdBwv43+XzgACxXNR7mkS0ZMIX8d08CEFoVJ5TN+g4g5h83V2ytCOoWnJbwT52BNX6Sd2ll0GKxiFJK5wA0Gs2K0o0AnADWNr0fA5bWTDjrGBGx8B/+X1BKfaU+QCl1WilVU0p5wKfxQ00vOcpxMMKtDsB0FRL1H+ZGxCSyKU1t3gYBazDmO4C5OdJBiGd+SVcwt+wSjnUSgCQAM0vCQPU1APUQkHYAGo1mJehGAJ4EtojIBhEJA+8CHlgy5gHgfcFsoJuABaXUhPhdVj4D7FdK/WXzASIy2vT2l4Bnl30XF4Dn2G05AMP1MJo6gsW2+60gzWwUsQxCA1mo1ehz/do+9YqgdQdQC0pBLyWWChPvCzNzsrMA1ENA2gFoNJqV4LwCoJRygbuBb+Ince9XSu0TkbtE5K5g2IPAYeAQ/rf53w22vxZ4L/DGDtM9Pyoie0XkGeANwB9dsrs61/0sSQJHLQPsWuNhDhDdNgCANRQHwMz676PFHIa0N4Xx7FqjEmgzk5OTpFeH22YC1ReB1UNA2gFoNJqV4OyF8JsIpmg+uGTbJ5teK+ADHY77Hp3zAyil3ntBV3qJUEumgSYjFp5dw2oSgFB/hOTPrSG8zu8BEMr6+Wk15yeC55ckgZXttuUAPM/jM5/5DGvSr6AyMYTnKYwgSVx3AIlEQjsAjUazYvTkSuB6Erhou6Si/lz+ZgcAkH7bRuI7BgEwB3wH4M7MttQDahzjeG0hIMdxqFarVLwFalWPhaCsBPgCEI/HCYVChMNhXNelVqu9JPer0Wg0Z6MnBcBobgcZCeHZNeRcfYEzvgOozc3SH18UgHreQDzVUgYCoFLxq4oulPzics1hoPoiMIBIcC3aBWg0mpeb3hMA20asxV4AfWETXK8RzulEKBCAhgMo15PA/kM/BG0hoLoAlMsllOm0JILri8AAwkE+QguARqN5uek5AfCqi0ngvO2SDQclnM8hAGJZGP391GZnW5rCiClgCiFpF4DmxG540G0TgKUOQCeCNRrNy03PCUDLSmC7Sja0OP//XNQXg9VDQEopVK0GlhEIQGsOoO4AAEL9dkMAPM9rCQFpB6DRaFaKrmYBXSmoWg1qtUYSuFBxSQcCcC4HAGAOZKnsf46bSp9l274DvPD1DyPhMLFf+BghkbM6ABGhZhUpn6ngVFwct4JSqhEC0g5Ao9GsFD3lABoN4SMRlPK7gfUF3cDOJwDhq9ZRPXqMNT96FFPVMNavp3bmDJ6ojiGgugMYHR2lWPVLQs9OFFsWgYF2ABqNZuXoLQFo6gdsux7VmqLP9P8E5wsBjfznD7P5kYd58W8f4E9+/vdQv/RrAHh4QRK4cwho3bp15ApzKDxmThRaFoGBdgAajWbl6CkB8IJv2RION8pAJBvtIM8tAEYkgrV6NemE/8AuhvwuAq7n+Q4g1h4CMk2TNWvW4HkexCvMnCq21AEC7QA0Gs3K0VMCoBoCEGlrB3k+B1AnE3zTz4digC8AliGYVuufslKpEI1GGR4eBiAyUGX2ZKFNALQD0Gg0K0WPCsCiA4ipwAF0KQDpmP+Nfd7wf1drHiFpr3ZRqVSIRCIMDAwQCoUgXuZMIACxWAwr6EscCoUQEe0ANBrNy05vCkCkSQCCfcY5VgI301/vCiaBALh+CGgptm0TjUYxDINVq1bhSB676DI/l2t8+wd/lpBuCqPRaFaC3hKA4CFrhMONEFDEAwyh41O8A6lICENgBj90U60pTMCvh7dIPQQEMDIyQq40h0KxMLfQSADX0U1hNBrNStBbAtAhBBT2/PCPdAjjdMIwhHQ8zBlXwDSxax4CKMdrGWfbdiO+Pzw8jO1U8AyHQj7XJgDaAWg0mpWgpwTAs+shoMhiO8ia6joBXCcds5ivuJjJJE7NFw5lt1bzbHYA9URwKDpNxSm3hIBAOwCNRrMy9JQANByAtRgCCrle1wngOv1xi4VSFSOVwg4EwAsEpU49CQyLAkD4JEogteTztAPQaDQrQW8KQCRMwa4SMgRxzl0JtBOZeJi5koP0pbCV/ydsdgC1Wo1qtdpwALFYjP5UnILlLw5LlY62nE87AI1GsxL0mAC0JoGT0RDKaW8Gcz7qTWFUMotL3QEsCkD923xdAABGkiYl0x8bP7O35XzaAWg0mpWgxwSgNQdQbwZjnGcV8FL64xYL5SpuMosbTP5RHQSgHgICGDYXGq/NE89C06wh7QA0Gs1K0FMC4DXVAipUfAHo1A7yfGTi/iyiaqwPN3iQK2dRAOp1gFocQPXY4glyBZg51HirHYBGo1kJuhIAEblVRJ4XkUMi8sEO+0VE7gn2PyMi1wfb14rIoyKyX0T2icgfNB2TFZGHRORg8Dtz6W6rM8oJGrkE00AX20FeYAgoWAxWCacaDqA5BFQXgBYHkNvjf7ZnUqll4cVHG/vC4TCe5+G6rYlkjUajeSk5rwCIiAl8HLgN2A68W0S2Lxl2G7Al+LkT+ESw3QX+RCm1DbgJ+EDTsR8EHlZKbQEeDt6/pDSHgHwBMFF2retVwHX6Y74AlM3EOUNADQeQP02mPE7YFAwvTCG8BV58pDFe1wPSaDQrQTcO4AbgkFLqsFLKAb4E3L5kzO3AfcrnCSAtIqNKqQml1I8BlFJ5YD+wpumYe4PX9wLvuMh7OS+NctCWRaHi0h8OgaeWFQICKBtR6t/ZOzmAhgBM7sUAxlZlsFSCQvxaOPJdqPmORFcE1Wg0K0E3ArAGON70/gSLD/Gux4jIeuA64IfBpmGl1ARA8HtVpw8XkTtFZLeI7J6enu7ics+OqjpIOIyIULBdslZ37SCXUg8BlQge8JacOwl82p/1885f+zXGwjvJm2vBKcCJJ1vGaQeg0WheTroRgE41EtSFjBGRJPBPwB8qpXLdXx4opT6llNqllNo1NDR0IYe24dl2oyF8wXbJmN21g1xKvSJoGQuUh4RaBaDdATwL/VcRy4zQn01RsFMgZiMMpB2ARqNZCboRgBPA2qb3Y8CpbseIiIX/8P+CUuorTWNOi8hoMGYUmLqwS79wlOM7gJqnKDk1+szlOYB6RdCKZxFyS4ipWlYCVyoVQqEQZnB+JvfCyLUAJLMRCgsurHl1QwC0A9BoNCtBNwLwJLBFRDaISBh4F/DAkjEPAO8LZgPdBCwopSbEr7D2GWC/UuovOxzz/uD1+4GvLvsuukQ51UYCGCDVZT/gpfRFQ5iGYNdMLLeMGF5bCKjx7b9ahpmDMLLD/8xMlEqhirvuZjj1NJRmtQPQaDQrwnkFQCnlAncD38RP4t6vlNonIneJyF3BsAeBw8Ah4NPA7wbbXwu8F3ijiOwJft4S7Psz4E0ichB4U/D+JUXZNhK2FgVALqwZTB0RoT9m4dRMQm4JcNuSwA0BmHoOlAfDiw4AoDD4H/zt49/RDkCj0awIXc1/VEo9iP+Qb972yabXCvhAh+O+R+f8AEqpGeDmC7nYi0U5DsZFtINsJh2zcOc9QtUSqGpbDqCRAJ581v8dOIBkxheGfHgz6UgfvPgI4Q1vBl46B/DsmWfZktlCxIycf7BGo+kZemslsGMHi8D86Zdx6g7gwtYBgD8TSLkQcssor4rnnCUENLkXwilIrwMgmQkcwIILG34eDnyNyOGHGsddag7OHeTdX3s3733wvRzPHz//ARqNpmfoKQGoJ4HzgQOoF2pYlgOIhzFcsLwK1CptDqAhAKef9RPAQb6hIQBzFfi5P4JwAvMf34dJDefIk+AUl3+DHTg4dxCAwwuHueNf7+CRY4+c5wiNRtMr9JgAtCaBI0ETL7nAYnDgh4BCNbBMD+WU25LAkUgEPM8PAQXxf4CQZRJLWRTmbBjbBb//NLzzXiKGhz3+OPzNTshNXNyNNnE0dxRBuP9t97O2by1/8Ogf8Je7/5KqV71kn6HRaC5PeksA6kngwAGEawqxDMTsrh1kM+mIhQmEzRrKKaGqHur4bvBqiw5g/ig4+Ub8v04yE/UdAIBhwjXvINw3hLPhTVCcgucu3YSoI7kjjCZG2ZjeyOdv+zx3bL2Dv933t9y3775L9hkajebypLcEwHEwmhyAVbvwMhB10iH/OMsCzy755///3o77pd/AdV3fAUwGdf9Hrm05NpmJ+A6giUgkgh3OwNDVcODflnVNnTiaO8r6/vUAhM0wH7rpQwzGBnU+QKPR9JgA2DZihSkG4RpzGe0g6wwHBeHEBFXOA+ARw37Br/IZNWp+/F8MWNVaOy+ZjVKYrbRsa/QE2PoWOPp9KM0u67qaUUpxNHeUdX3rWj/fSlKsXtpcg0ajufzoKQHwglpARcclahngeBfcDKbO5v44ALbh4ZX86hZKxaj87P8BQPSJv4ZDD8PAFrBiLccmMxGcSg27vLh6uNET4Oq3gqrBwYeWdV3NzFRmKFQLbQKQsBIUqoWLPr9Go7m86SkBaE4CL7cZTJ2s5U8dzdUUXsHv9uURw97kr3OLOLNwcndb/B/81cBAiwtoOIDV10NyBJ7/2rKuq5kjC0cAWN+3vmW7dgAajQZ6TQCCYnBF2yVRbwe5TAFwKn4YabrqUivM++dXMSrKF4boW/8HrNkF25dWzm6eCrqYB2g4AMOArbf57sG9uHUBR3N+8/l0wUJ5XmO7dgAajQZ6TQAcByMSCED44hyAXfKnUU44NVTRdwDKzFBxgimmw5vhPz4M29/edmwyGziAuQ4OAPwwkFOA8e8s69rqHM0dZagQ5xsf/n8Y3/PU4ueHkxQcLQAaTa/TMwKglGosBGtuB3mh3cDq2CX/QZ8zQyjXf5B71kB7N7AOJPrDiLQ7AMdxUEr5K4TDyYueDTSeG+cVlREA5icXC7gmraR2ABqNpncEgGoVlFoUgOhFOoCiSyhiUAxFIBAAFcp0bAi/FMM0iPdH2nIASimq1SqEIrD5Znj+6/5ismVyNHeU0UICgOL8XGN7wkpQrBZ9sdFoND1LzwiA12gIH6Fo10iETZSzfAGolKpEExbxTD8qiNV7Zn97N7CzkMpGyDc5gHpJ6EY9oK1vhcJpOPXjZV2f67kczx8nOes/5JsFIBlO4imPslsGoGpXcCrlZX2ORqO5fOkZAVBO0A84cACZZbaDrGOXXCJxi9VjQ1BzAA9l9FGpVAiHwxjGuf+0LauBWRSMRh5gy5v8RQYHljcbaKIwgee6MO3P9inMLa4rSFpJgMZMoG9+4m/46sf+dFmfo9FoLl96SAD8B6sESeB+Y3ntIOvYxSrRRIj164aDD6igJNlaCvoc1FcD18MwbQ4gnoX1r4XnHzzbKc7JkdwR0gULah6GabaFgIBGHuDM8aOcen4/Xq3W8VwajebKpOcEACsctIP0b325DqBSrBKJW7xio59kFa+MJ4nWUtDnIJmJUqt6VAp+aKrNAYAfBpo+ADMvnvU8L/zwcb7/D19s234kd4SBBf+cY9uuoXgOB1CYm8GtOsxNnDzvdWs0miuH3hGA4Ju1Y/izfvrq7SCXuRLYLrlE4yG2bhr1N3hlfx1Acynoc9DoDBbkAdocAMDVQfO0c8wGevob/8oT//QlKoXWWT1Hc0cZKSQIx2KsufoayvkcNdcXm2YHUK1UsIu+EEyNn11oNBrNlUfPCIAXfLO2xX/gJ5fZDxj8KaWVUpVIkAQGoFbBU5ELCAEFncGCmUAdHUD6KhjdCc8tbcEcXIfnMTX+Ikp5HN37dMu+I7kjDOcTrNqwiWRmAIDivL9gLRkOHIBTJD870zhm6uj4ea9bo9FcOfSMACjbf7BWxL/lRFABejkhILfq4bmKSDyEWBauFfYFoGZdQAioCwcA/kKyk7thvr1659zkKXfsX2YAACAASURBVJyyP3tn/OmnWvYdmz9KYs5jeMNmEpkMAKUgD9DsAAqzZwAQw9AOQKPpMXpHAIJv1uWgDXKC5TWEBz8BDBBNBBVB41GUW6ZaNbsOAcVTYQxTGjOBOjoAgG1BKYn9/9p2jtMv+t2+Bsau4shPnmqUeyi7ZSqnZ5CaYnjDJhLpLACFQADqOQBfAHwHsObq7UwdOXzWtQGumz/vPWk0msuLrgRARG4VkedF5JCIfLDDfhGRe4L9z4jI9U37PisiUyLy7JJjPiIiJ0VkT/Dzlou/nbOjqnUB8B/40eA5t5yVwPVVwJG4LwBWIgpVG8dp6gZ2HsSQlr4AZ3UAg5v9jmL728NAk4cPEQpHePVb30Fxfq4RwjmWO8ZAzj/fqo2LDqCeCK47gGK1SH7GdwAbr7+BSiHfeN/M3NwTfPs711MoPH/e+9JoNJcP5xUAETGBjwO3AduBd4vI9iXDbgO2BD93Ap9o2vc54NaznP6vlFI7g5/lzXfsknoSuLREAJbjACqBA4gkfPEIJyIot0K1qqjVal05AGhdC2AYBpZltTsA8AvKHXuirVXk6cOHGFq/gY3XvwaAI3uewnEc9uzfw8BCGDMSITu6hnhfGkQozvsCEDbDhI2w7wDmZogkEqzZug2AqSOH2z7+5KkvA54WAI3mCqMbB3ADcEgpdVgp5QBfApaWuLwduE/5PAGkRWQUQCn1HeDiu5tcJPUQUEn5oZ9IDRCQ8IVHweoOIBo4ADNq4jl2Yx59Nw4A/JlAuTMVXMc/LhwOtzsAgG1vB1TLbCDPqzE1/iIjG7eQSGdYtX4T43t285Of7GH8uz9kMJ9kaN0GxDAwQyFiqT6Kc62rgYtOkcLsDKnsIINXrQeRtjyA6xaYnv53ACqVU2g0miuHbp5+a4DmDOSJYNuFjunE3UHI6LMikuk0QETuFJHdIrJ7enq6i1N2xguSwEXPv2WrppCwiciF9wNuOIC47wCMiIGq2tTEf5B36wBGN6Upztt87v96nO9/5RBWKNzZAay6Gga3tvQKnjt1kqpdYXjjZgA2XPdqTr1wgPm5f2PXax5gyAyzetMrGuOT6QyF+UUdrpeEzs/MkMwOEI7GyIyuYfpoqwOYnv4mnlcBhIqt1wloNFcS3QhApyfk0kxhN2OW8glgE7ATmAD+otMgpdSnlFK7lFK7hoaGznetZ6XuAArKD/mELqIfsF0MHECQBDYj4Dk2DsH2QACc43k82+18EuCa163mHX98HWOvyLDnW8cpnKly4uAZnEqHY7bfDkcfh4IvgqcPHwJoCMD6na9GeR7l0j5EFKnhRXEASGSyrQ4gqAhamJshmR0EYNX6jW0hoInJfyYWu4pUcjuVihYAjeZKohsBOAGsbXo/BiyNBXQzpgWl1GmlVE0p5QGfxg81vWTUBSDvgSFgVL2LqANURQzBigb1hEI1PLuCI/6DO2xazP7DC0x9fA/5x06c9TwiwppXZLj1d3bw3j/9GVLpOMV8mb1Nxxw5csR3BdvfDsprhIEmDx8kFImQXTMGwOotVxNJJBDxH9LJ4SKrNmxqnCeRzlJcaA0BFSp5ivNzJLP+OoFV6zeSm56iXPBn/FQqE8zNPcHI8DuIRlfrEJBGc4XRjQA8CWwRkQ0iEgbeBSydkvIA8L5gNtBNwIJSamLpiZqp5wgCfgl49mxjLwX1YnB5z2x0A1t+JVDXXwMQhI/MkItqcgDFfxqn9OPTSNikeqq7uvupbJTB1f2EYrDnW8dxKi6HDx/mc5/7HE899ZQ/Eyi7sREGOv3iIYY3bMIIahoZpsm6HTuJxPwwT3Io3xAHgEQmQ2l+rjFVNGElqOaKoBSpJgEAmA5cwOTpBwDFyMg7iEbXUKmc1CWkNZoriPMKgFLKBe4GvgnsB+5XSu0TkbtE5K5g2IPAYeAQ/rf5360fLyJ/D/wA2CoiJ0Tkt4JdHxWRvSLyDPAG4I8u1U11vI/AAeRcIRX0A15uQ3i7VG3E/wEMw0G5iw7AcoTB39pBbHuW6mT3vXcjkQhWXKgUqjz77ZM89JDfGH5ychJE/DDQ+Hfw8tNMHT3M8IbNLcevfdU6zFCNSiVBvC+P55Ua+xLpLF6t1vh2n7SS1HL+tSUHAgEIHEN9PcDk5D/T33898fg6otE11GolXHf+Qv9cGo3mp5SuJsEHUzQfXLLtk02vFfCBsxz77rNsf2/3l3nxeEG/3YKrSNQFINPdbJ2l+JVArcZ707RR5bmGA7B/5Wqim9M4J/KU9kzjlV2M2Pn/1OFwmJpXZe22DI8/+iNmohOEw2Gmpqb8AdveDt/7K2Z/8GVc22Z405aW47MbIsyMw+TEFtZv2MPCwh4GBl4HQLJpLUC8r99fC1CwgVCjVES8r59kdoCpI4fJF/ZRLB5k69b/CkA06uf0K5VTWFbHfL1Go7nM6KGVwFUkEqFQbwjvLL8hfL0XQB1DSnj5CewNCqXg6WBuvzXiL7iqnu7OBdTbQl5361XMhV6kP5Hl+uuvZ3p6Gs/zYPV10LeGyZ88DtCS5AVwvOMoBZOTm1FKWFhYbCZTXw1cXwyWtJIYQSXS1MBgY9yq9RuZGn+Rycl/QSTM8Cp/fV40uhpAJ4I1miuIHhIAvx9wMegHrGx3+TmAYmsIyFR+nN8QB1dMdh/1wyTWSByA6mSp/SQdCIfDVKtVTsy+gBeqEJlZx9DgKlzXZXZ21g8DDV3N6ckZrGiM7GjrTNvcwj7K5T6qFYtiMc38wmJ9oETa/9beKAcRThItC6ZlEU2mGuNWrd/I7MRxJicfYHDwDVhWGlh0AGUtABrNFUPvCIBtY4TDfjvIiBkkgZffEL4RAvI8DOXH1e1KBSMUZvcR/1u22R9BImbXeYD6ArLHHnuM1cNjePNJCqf8f6LTp0/7g7IbOD1bZXjDRmRJ17Fi8QWKxTRu2CaXG2Jh4Wk8zw9LdSoHEa+EiGcyLWshVq3fRHJ1nmp1htGRdzS2W1YGw4jqmUAazRVE7whA4AAKtksqbIKrlhUC8jyFXXYXHYCTxwz7M2vqheBOLVQ4OV9GRLBGEl2HgJrrAb317bexenOawz/IISKNPIDXv47pcpThq9a2HOu6RZzqSYrFDGo0TG5hFZ5Xolj0yzdYkSjhWLwxFTRpJYlXTCLpvpbzrNqwkfSGHKJiDAy8vrFdRBozgTQazZVBzwiA59iL/YDN5beDdMouqMVFYJTnMSxfAGynSn/SD/s8Oe5/07ZG4lQnS11Nn6w7gGuvvZY1a9bwmrdsoDTnkoz3NRzAjJvGVSbDg4mWY4vFg4CiWMiQGkyRy/mL5lrCQE2LwRJWgkTFxOpPtpwnNbiKvnUlvOJaDCPcss9fC6AFQKO5UugZAfCTwEE/4NDyG8LbpdZCcFTmMUL+w912q2RSCVKREE8GYSBrOIEqu3i5DiUeljA6Osrq1au5+eabARi7OkMobBAz+hoOYHLB/6zhPq/l2ELhAADFYoaRkRFsO4FIpiURnExnGgXhEqEEcTuEmYq3nKdYPIAVr5I71iowQOAAdAhIo7lS6CEBcMAK43pqsR3ksiqBtpaCpjyPGGDEY9i1GtFohOvXZdh9xP+m3UgEnz5/InhwcJA777yTTBCvF0PIjCQwq3FmZ2dxHIfTUznChkuGmZZjC8UDeCpCyY6ybnQdICi1iYX5zg4g7IDpCaRap8LOzDwGwMmnS3zj//1rDj35BFXbn9UUi66hWp3FrRbbWlBqNJrLj+VlQS9DlG3jWX5II2UsvyF83QFE44sOAMBIxnGUIhqN8ppMhv/57y+wUKqSHA6mgk4Wib7iwufPZ1cnmH4hAmGYnp7m9JFxhhMOMn+kZVwhf4CKM4BtOqxOrSaZTGJXxoDdVCoTRKOjJIKCcEqpxhTQWqL1v8CZmcdIxLex6bo3cGj3D9j37W8RCkdYc/V2jP6D9G+HT/3+r1CeDfELd/0B177hTRd8TxqN5qeDnnIANdN/2CXlYrqBLXEAlQUAjFQKB78Q3K71/pz7p47NYiYsjFT4glYEN5MdTeAu+MI1NTXFwtRpMv1RmF0s2qaUolA8QKGcxjZtVidXk0ot5gEWgjxAIp3BtW2cchmV97/Vu/HF/wLV6gILC08ztOpm3nL3n/C/f+oL/OqH/pRr33CL307S9aeLXnPLazBDIc6cOLase9JoND8d9IwD8BybWsx/gCUaArCcbmBLcgBl3wF4fWmUCJFIhFeNpbFM4ckjc7zx6mE/EdxFCKgT2dEEZi1GyAwxOTlJOZ8jcVUGZncvXpM9gevmyRVS1EI1UuEUfX19zM46DI/EmF/4McPDbyORCRaDzc/i5vzrqTSlAGZnvwt4DAazf8xQiHU7drJux05/bOUUj3//ETbftJ0XHj1FaUGXhdBoLmd60gHEq34i1UxcuADUcwDRhgOYBzGpBQutotEosbDJtWv6G+sBrOEE1dMllHfhhdQyowkEIRVPM3HqFChFYmAVFCbB8R/i9QRwbqEPM6hQ2tfXRy5XpL/vVS0OAKA4P0dlfgEPRTFcbXzWmZnHsKwMfX2v7Hgt4fAqREwqlZMk+tMU5+c6jtNoNJcHPSQAVap1AchXkYiJkQqf56h2KqUqobCBaQV/uvI8xNK4SX86ZX0q52vWZ/nJ8QUq1ZpfEsL1cGfKF/x5fQNRQpZB1Oij3hAnsSpYAzB3BFgUgFIuQyTmf34qlaJSqZBMvYpCYT+uWySZWSwHUZidwY4qijVfRJTymJn5Ntns6/C7gLZjGCEikREqlVPE0xntADSay5zeEQDbxjF8AYgsOIRWxZfVDaxlFTD4OYBoP9WEH0upN4PZtS6DU/PYe3KhMRPIXUYYSAwhM5rAcOKUKxU8M0RidVDnf85vAp8vHCAaGUNVIyQTvhD19fkLvKzQNpSqMTf3g8V6QPNzFGZncOJCsernJvL5Z6lWZxvhn7NRnwqqHYBGc/nTOwLgOFQDATDnbKxV8fMc0Rl7SR0gKvMQTVOOxgD/mzfQSAQ/eWSW0Ko4CJckEexFYiTW+g3c64ngQuF5QpH1AKRT6Zbr8LwtxGLreP6F/4xYNqZlUQgcgJswKVT96ZxnZh4DhGz2dee8lvpisHg6Qzmfa/RB1mg0lx+9IwC2jW2ESAIUqlirYss6z9JKoPUQUCniP6CTlr8vmwizfiDOM8cXMMImoWx02QKQGY3jzi8KQHxkA0T7YXacWs2mVDqM7fkzfobS/u+6AygWHa699h4cZ5YDBz5IIp1pOACVCDccwMzMY/T17SQczp7zWqLRNdjOaeL9KVCKUm5hWfek0WhWnp4RAK9axRaTdQQ9gYeW5wCWVgKtO4CSaWK6LuHqYj/fHWNp9p70H5ChkcTyZwKtTiKehSmCJPsIWZbfHWxunGLpIOAxX/FDPyPpEWBRAHK5HH2pa9my+f/kzMwjDO2YZX7iFHapiPRFKTgFHGeGXO4ZBgf+w3mvJRpZjVI1okEJIZ0H0GguX3pCAJTnQSAAW4I6QMsOAS3NAZTnIdpPEYiVy6ji4grZV67p5+R8mTMFG2skgXumjKpeeMgkG8wECtc8vFhQoiGzAWbHGwngM0U/+bt2wE8QRyIRwuEwuVwOgLGx9zM4eAvJTfsoFPcBEOqLU6wWmZn9LqAY6EYAgrLQoYTfYlPnATSay5feEICgHWRZTDYZIQgJZja6rHPZxSqRugAo5SeBY2mKtRqxcpla8MAF2DHWD+AngofjoKA6tfyZQFKp4JohvzlMdgMsHKeQew7DiDKV86eYjg0s9gHu6+sjn/dLVYsI27f9OXgJxl5/hL51edaPTHJL9BgvHvooljVAKnXtea+lLgBG2Bc6LQAazeVLbwmAMlmPgTUYQ4wLnwHkVmu4VW8xBFQtgVeFaJqC6/oCMDvbGH/N6j5EYO+JhcXuYMvIA9RnAlHK4yHMz8/7DsBzmZ/9Pn19r6RQKFEzakQji8LmrwVYFCTLShMrvZtwssrGW0+wLrGPq0JlkqltbH3FhxE5/3+HemcwFfJDWzoEpNFcvvSGANh+uKKEyZhn+LNyloFdChaBNZWCBlDRfvKVCvFyhfIzexvjU1GLjYMJnjmxQGggBiFZdh4gPRKDgv/QnZqaguwGnJCQLx8im3ktlVIFz2qtEJpKpRoOoE5f33Uc/Jf1HPzqOl5M/S4fmYhxzbWfZHj4bV1dh2lGsawBqu4UViSqHYBGcxnTlQCIyK0i8ryIHBKRD3bYLyJyT7D/GRG5vmnfZ0VkSkSeXXJMVkQeEpGDwe+XrNN43QFUlMlA7eISwMCiAwgKwZWMFLVajVR/H+Wnn2455pVjafaenEdMwRqKL3smUP9QCMP2H+anT5+G7EbmMhagyGZ/jmql2lgFXKceAvK8RWFIZDKUpmPU8qtIJP2EcX0mULfE6msB9GIwjeay5rwCIP6y0I8DtwHbgXeLyPYlw24DtgQ/dwKfaNr3OeDWDqf+IPCwUmoL8HDw/iXBCwTAkjgGF5cAhqYyEIEDyNf8BGx6bC3lvXtR1cXyCjvW9HM6Z3M6VyG0Ko575sJzAADxZBXxPGJWxBeA5Agz2RghZRFPbkOq0lgFXCeVSvmF4ppKN9cXgyWzAyQsPyxVXwvQLfXOYPFgSqlGo7k86cYB3AAcUkodVko5wJeA25eMuR24T/k8AaRFZBRAKfUdYJZ2bgfuDV7fC7yjw5hLQt0BxPAf/MsOARWXNoPxQzK5mv9+YOsrUOUyledfaBzzynoi+MQCocEYtbkKym0N1XSDFfXDWMlIkomJCZQIs9kIGTvFdHmGSG1xFXCd+lTQ5jBQvRxEcmCQpOWPv1AH4C8GO0Wiv187AI3mMqYbAVgDHG96fyLYdqFjljKslJoACH6v6jRIRO4Ukd0isrteC+dCqQtAUmJ4gDW4/EVg0FwK2n/45Rz/zzh03XUAlH+82IVr++o+DIFnTi74n6vAna1c+D14fu4gZvYzNzfH3Nx+bMsjO1/lVOEUkVqksQq4TvNagDqxvj5EDJKZszuAh44+xHu+9h7smt3xWqLR1XhehXg2oh2ARnMZ040AdJous7SsZTdjloVS6lNKqV1KqV1DQ0PLO0eQBE4bMQpRA7GWl/uu5wCiS0pB5yv+3P70xo2ERkcp71nMA8TDIV4xnGLviXlCgfC4053DQDknxz0/vodP/uST3P/8/fz7kX9nz9QelFKUc/5nhRz/IX/s2DcAGDg1xfHZ4xgYDPYPtpyvXg6i2QEYhsnP/tqvc83rbz6rA/jeye+x98xevj7+9Y7XWZ8KGk0rKoU8NbfacZxGo/npppt6yCeAtU3vx4CljWG7GbOU0yIyqpSaCMJFU11cy7KoO4AhI0ohufwWCHbJBYFwtDUJnCs7JJNJTNMkft1OSk/vaTlux5p+HjkwhTngT9E8Wx7g0WOP8um9n27b/sev/mM2zxuImFTnkhCFufnvE5M0scIZJk4fAmAkM9JyXCKRwDCMFgcAcNMv3wGAs+DXEso7rTOFjiwcAeCL+7/I7ZtubyuaVxeASMp3RKWFBVIDreKj0Wh++unmq/CTwBYR2SAiYeBdwANLxjwAvC+YDXQTsFAP75yDB4D3B6/fD3z1Aq77gvAcB8RglRmh0nfhJaDr1AvBNdYQVBYg0k8ul2+EW2I7r8OdmKA6sXj7rxzrZ6boMOm4GAnrrAIwvjBOyAjxo1//EQ+/82H+8Rf/kRtGbuDeffeSnz1DOJaiMg99fQlq7nNk437d/qmZEwBtISDDMILOYLm2zwJIWb5DWOoAjuSOkAqn2D+7n6ennm47Lhr1F5tJ1BdAHQbSaC5PzisASikXuBv4JrAfuF8ptU9E7hKRu4JhDwKHgUPAp4HfrR8vIn8P/ADYKiInROS3gl1/BrxJRA4CbwrevyQo20Hig1hiUE1Hzn/AWaiU3MUZQBAUgusnn883wi2xeh6gaTrojjH/wVwPA1XPdF4LML4wzlWpq4iFYqyKr2Jrdiu/veO3manMcGTiILF+/zyjww5i2GQHXw/AXN5/ACcSibZzdloLUKdTDmDBXmC2Mst7t7+XVDjFF/Z/oe04y+qjv//VlL3vA0ongjWay5SuguFKqQeVUq9QSm1SSv23YNsnlVKfDF4rpdQHgv07lFK7m459t1JqVCllKaXGlFKfCbbPKKVuVkptCX53mil0SVCOg5Ea9V9nly8AdqlzIbhcLtdwANGrtyKxWEsY6OqRFCFD/AVhgzHcM52TwOO5cTb0b2jZdtPoTWzNbGV6+gSpgQEAUomTKCXEB24BMSiU/BxHJwFYuhq4mVgohiEGBWdRAI7kjgCwLbuNX9nyKzx87GEmi5Ntx46t+XUc9xTJNUXtADSay5TeWAns2JgpPz5uDi1vBhD47SCXFoJzIhkqlUrDAYhlEduxo8UBRC2TrSMp9p5cIDQUw8s7eLbbcu6qV+V47nibAIgI77/m/ZilGuVEFdMyCEcOks8PMD3noPrHKAc52Hi8fXrruRyAiJCwEi0hoHr8f33feu7Yegee8rj/+fvbjl216lasUIbBa+a1A9BoLlN6RAB8BzCjasRTl9YB5EP+t/K6AwA/DFTZvx+vtBjqeeVYf1ASop4IbnUBJ/IncJXbJgAAb173JqKOwX77RVZtNDDC48zPjTIxMUEusw6zFsYIG5hmeyvHvr4+HMehUunsOpJWsiUEdCR3hJCEWJNaw1hqjNevfT3/+MI/tk0JNYwIo6t/lf51eQr5Y2f7k2k0mp9iekcAkqMcVS6JyEXMAiq6i5VAASoL5MSPy7cKwE6o1SjvXax+sWNNmoVylTPBFFR3SR5gfMFv77ihr10A3EIZQThUPUZq27OIKMrljZw6dYpTA+uJ1CJEolbbcc3XdbYwUCcHMJYawzL8871n23uYs+c6Tglds/rdiAFO6Ecdz63RaH666QkBqFUcjNQIR/BILlMAlKfaHUB5nrz4c+nrISCA+M6d/u6mMFBjRXCpDNK+FqAuAOv717d9dj3G7sUtTlpfxatG8EpbmZiYYGL1DiJehITpth3XfF35fB5cB4ozMH8MgvpAnRxA8zXcOHIjm/o38cX9X0Sp1qUd8fg6nNlhzMxzeF7nz9doND+99IQAqIqHWDHGRS3bATh2DaWaKoG6Nrhlcp6fU2h2AGY6TXjTphYBeMVwirBp8MxkHrM/0jYVdHxhnKHYEKlwiqUU5/z8+M9seR3x2ot49jU4MzFmZmY4Ycb8VcDVzjn0wYj/YD75dx+APx2Cj22Ev94B3/YnXSXCCYqO7wBqXo1juWMtLkREeM+295x1SqhaeCVmpMyZmYfP+rfzPIfpMw9z9OinUOrCy2BoNJqXhp4QAK/kx8aPiFq2A2jUAVpSCC7nWkQiESKR1txC7LqdlPfs8buRAeGQwTVr+nj4wBTmYIzqUgHoMAOoTt0BvGXrDQyEFE8UylD0E74P73uYaC1CunAUyu2zcZLPfp5RTnMweQO88UNw20f9dpLHnvD3NzmAU8VTOJ7T5kLetvFtJK0kX37+y23njxivolq0OHniiy3blfKYm3+SAwc+xHe/9zM888ydHHrxz8nlftLxHjUazctPbwiA7T+0j+MRXWYZiMU6QK2F4PJVsyX8Uyd+3XXUFhZwxscb237n5zdyaKrA4Zrrt4cMQipKKcYXzi8AYfMFFEJpeB0Y/nW4cy5hL0KSIhz4WuuBTgl+fC9bBixOFEzKr7kbbvwdWPezcPpZUIqklWzkAJpnALXcixXnFzf9Ig8dfYjZSqvTSKYHOPNcP7Nz36NYPMTM7Pc48PyHefzxn+PHP34XE5P/zMDA69h29f/w/16F/Wf9G2s0mpeXnhAA5UbwqiXsiNlW1qBbFusALSkEZ6uW8E+d+oKw0pONJRH8wjUj3LQxy4MnZlGVGl5wzpnKDHknf3YBWJgjEk9wZuZbZNM38uc3f5wbXnsNRi3MLbE3AZCIx+DZr7QeuPcfoDzHlhvfjFKKF1980d8+vANKM5CfJGElGg6gvgagUx7ijq13UPWq/PPBf27ZHu9PM3MgDZg88cPb2LPn/UxMfIW+/p1s3/4XvO7nfsS11/w1o6PvJBTqo5B/ruM9dsM3xr/Bbzz4G1RruvaQRnMp6AkByLzzNXx7oEIyepF1gGhyAPUQULnaUQDCGzYQ3ryJ6XvuaZSFEBE+/LZrOFj1z1XPA5xrBhBAcW6OvjGLUukQQ6v81gpbbxohVE1y/Lg/BTNx1U44/Jif5AW/X/EP/xcM72DNq28jFotx8OBBf9/IDv/36WdJWknKbpmaV+PIwhH6wn1kIu29eTalN7FreBf/8MI/UPMWG9sn0hncksWq/vcyOvorvPKVn+LnX7ebvaHX8t/3PUwolGjcezK5bdkO4GThJB/5wUf4yfRPOBzUMNJoNBdHTwhA/FWb+P5VY8uO/0NnB+AhFMp2xxCQiDB2zz0o2+bE3b+HF8zD3766j52vGgbg5GE/tNMQgHOEgNIb/GmcQ0P+N/6htSn6YgN4QVI1vuXnQdVgf1Cm6ch3YWof3Pg7GKbJ5s2bOXjwoN8dbPgaf8zk3kY5iKJbbMwAOptLumPrHZwsnOTxU483tsWD8hQx9Wa2b/szhgZvplxz+fjTH+exE48xXVos4Z1KbadQOIBStbZzn4uaV+M/fe8/NdYivDD3wnmO0Gg03dATAgBQsC9yDUBpSTvI8jwF4ijVOQQEENm4kdUf+xiVffuY+PCHGzH/33rr1VRRfP/Jk434fywUYzgx3PE8pYU5YsOT9PddRzSyWPFz87Z1jdeJq3bAwGbYF4Rofvi/IJaFHb8KwJYtWyiVSkxMTEAsDf1X+Q4gHJSEdoocWTjSFv9v5uarbmYgOtCyMjiR9t1CqakcxJef/zL5qr/6uHnmUCq5Dc+rUCodOct9zlN12nsQfP65z/PU6af40I0fImSEODh/8KzXqNFouqenBOBite/8xQAAIABJREFUHIBddDEtg1A4WG1bmCQv/tz+Tg6gTuqNb2Dw93+P3AP/yuy9fgO0wb4odtKCOZtHDkwxnhtnfd96DOn8z+G4kxixmUb4p851r93WeJ1IJOCaX/K/+Z/YDc8/CLt+Eyx/muqmTZsAmsJA18Lksw0HcLp0mqny1FldCIBlWvzyll/mOye+w8nCSQDi/f7foLjgC0DFrXDfc/dx48iNRM1oiwAkk34n0XyhPQ+gPI9P/Mlvc89H72aqtFgZ/IW5F7jn6Xt449o38stbfpmN/Rs5OKcFQKO5FPSMABRtl0SkvVRCt1RKVaLNi8Dmj5GL+d/Az+YA6gzedRepN93C1Ec/RvEHPwBgYKyPTWaI//a1/YwvjHdMvP7/7J13eBzVubjfM1u1Rb13q7jIlm2590IxmBpCCSWEhAQuBMP9BcIlgZsEQkIIyU0CJARIIIFQjOnGuALu3ZLlot5712pXu6utM78/VpaLimVDwMT7Po8eaWfOOfPNebTzzfnOVwC8LheGxIAZJTbmkpPOxSVFoZH0oAjUkhYmfhMUGVbdBgiY8f2BtkajkaSkpOMKIG4SdFVglgLpsYu6ioB+DyC/D+xDV1+7fuz1CCF4p/wdAFRqDXqTGUdPYE/k/cr36XZ1c9eUu5gUPekkBWA0ZiKEBnvv4H2AyqrD0OvCV9TEFSuX84tdv6DcUs7D2x/GrDXzi3m/QAhBdkR2UAEECfIFcR4pAP/nMgG57N6T00D0NGDTBzKMnk4BCEki4TdPok1Npe13vwNAExtCkiKo6bTQYm85rf1fTSohISmDzickJCDJGg5/1ghxORAzHmyNkHMVhJ1clTM7O5umpiYcDkdgBaDIGPsf9Ec7A2kr0kPTYeef4NnpgcjhU69nSmBR8iLeq3gPjz9w3hgegdNqwSt7+cfRf5AXm8f0uOnkxeZR2l2K0xtIeyFJWkzGsUOuAHbuCbiwqmWJa+T5fFz9MdeuvpYySxmPzn2USH2glnF2eDZtzjasbuuIcx4kSJDTc94ogM9rAnL0uDGdWEvA2kCvOhpJkobMwnkqKpOR8OuuxV1cgrelBXV0CJIMiTorCsqwCqCnqwJjnIvQkPlDnr/8qkvJippJwcY6+no9MOnawInZdw1qm52dDUBlZWVgBQCYegLFZI52HkUSEqmhqVD0AbitYKkd8prfGvctul3dPH/oefyyH0NYOI6eHtZWr6XF0cIPcn+AEIK82Dz8ip/DnYcH+prME7AP4QnUUHyYPoNMZGIyYxpC2HDtBu6ecjf3T7+fpalLj99DRP899FQOKVuQIEFGz3mhABRF6TcBnb0CsPe4MUb0KwCfB2zN2IQZs9mMJI1uGk1LAw8y+5YtA4Xp50YFNoaHcwHtsgRSLERHLxvyfFxcHMtvnIfPI3NgbS3MXQG3fgCpcwa1TUhIwGg0BsxAEWNAa8LYFfBAqrXVkmhMRNvbBm1H+i8+9EN2XuI8lqUt429H/sat625FNqhx9HTz0tGXGBsxloVJCwGYEjsFgRi0EezxdOJ2Hzcxub0upMZe1Gmx5Cy+kKbSIiSrmx9O/SHfm/S9k649NmIsQNAMFCTIF8B5oQDcPhmffPZpIPx+GafNc3wFYGsCFGx+3WnNPyeizchAk5pK7+bNAwXix+kFiiLwuaOGuK4bu2sXfd06omInDztuRLyRCfMTOLqtCatVQObSIdtJkkRWVhaVlZXIALE5mDqOu1Smh6VD+frjHYZRAJKQ+P3i3/PUoqdo7G3kk85tWLrbqLHWcEfuHQNupKHaULIisjjYNngj2H6CGWjbofXoPRJZk2eQs2gpQkgUb/ts0HW7LbuxNr5AmNYUVABBgnwBnBcKwNFffOVsFYDT6gEFTJGBXP5YGwDo9YzsAXQqQgjMS5fg3LMXJC9CKxHjBcUbweYSC05nLfv2X8WOHfPYvCWHLVtz8EnVWGtCCTGPrGhmXTEGSSXY+2HViO2ys7NxuVw0NjZC/CQMbcfNMemh6VC2DiIzwRA1rAI4di/Lxyzng298QHJcBpJXIT0klYvTLj6p3bTYaRzqOISvP1uo2RzwXOo9ISL44IHAw37h3CsxR0aTNnkqRVs/HcijBGCx7OPQoR/Q2PQqSyMjg66gQYJ8AZwXCsDerwDO1gRk7w4EcQ2sAHrqURg+CngkTEsvQPF4cOzejTo6BGOvCpOUwIaiNrq6ttDbW0Rk5HySk28lM+PHyC0X4qjLQJzGzGQM0zHlwhQqDrTTXjd07n8IuIMKISgsLIT4XCS3FaM6sBoZY0wIuJGOWx6IKeg+fcRtpD6S66fdAsCvpv4MlRTwtKo7Usje91cxNXoqTp9z4I1drTaj16cMbAQrikJXeRVek4q4hIBXVc7iC+nt7KChOGCKstkOc+jwHej1Seh08UzV2aiwVAxKTx0kSJAz47xSAKazdAO19/TX3D22B9DTgAs9Xq/vjBWAYfo0JLMZ++YtqKJDiHKEMiE8myNNVtq6i9BoIpkw4SmyxvyEyMrLGH/kFtJMeaMae9qyNPQmDbveqxr24RgSEsKcOXMoKCjgiD3gWWMUAe+m9N4u8HuOK4ARVgAn3VN/NHC0EogJ6Gpq4MPf/5odK19F2lELnBIQdsJGcHVPFaHtMmFZx4PasmbOQRtioGjrp/TaSzlY+F00mgjy8l4lKfEmwuVmQhQbLY6WQbJsbdhKm6NtVHIHCXK+MyoFIIS4VAhRJoSoFEL8ZIjzQgjxTP/5w0KIaafrK4R4VAjRJIQo7P+57Iu5pcE43IHUA2e9ArAEFIApot8E1FNPrzGwaXsmJiAI1Aw2LVyIfetWXMkQ643k4aILuBA17d1HMZnG47e46XjxMLZP6hFIRGuTTj8woA1RM+OydJrKLDSVD1+n96KLLiI1NZXVO4toIxoTAZt9etMR0IdDyhyIyoTeFnDbhx3nGAPRwFYLHlcfH/3hN6g1GiYsWELJuvXMbE4cFBDmdNbi8znYcnAteq+K3GmLsFoLaWx6g46ujxi/LJa29jUcPHgrKlUI0/L+hV4XT2LitwAV802+QfsATfYmVny2gv/e/N945WDCuCBBTsdpFYAQQgX8BVgO5AA3CSFyTmm2HMju/7kT+Oso+/5RUZSp/T9rP+/NDIfjc5qAHBY3Gp0Krb5/BWFtwGZIBU4fAzAUpqVL8Xd10ejez09Tn0Zj0PCo0KHz1aDrSabt6QK8rQ4ivzUOi68doxQ26rEnLkzEEKoNeAQNg0ql4vrrr0en0/GWdA2hHgWD2kBM1RbIvhhU6sAKAKC7Cr9XpnhHM37v0MVcjq0AHD09bHrxz3Q1NXD5ff/Dpff8iMwZs8kp1NB0sHBgVWI2TQAUHI4ySg7tAiBzfDz5Bd+irOxnlJQ8hBS/jpTFdfi8XvKmvjoQA6HTxRAZfSEzDT4qLSfHE6ypWgMEgtr+fuTvo56zIEHOV0azApgFVCqKUq0oigdYCVx9SpurgVeVAHuAcCFEwij7/tuxf85NYHuPC1OE7niStJ56erWBnDxnugIAMC1aCCoVzi1bKTSWYb57PPmTHKDywpFQNAlG4v57GiFToulxtaH3nT7O4BhqjYq8Zak0lVloqRo+WMpsNnP99ddjkY2ktOYwzpCIcHbB2P50E8cUQFclZXtb2fxaKYc+axhyLENoGAhBwdoPKd25lfnX30La5KlIkorL73sQbVIUU/ZqOHJoR/+1A+8AHT0FeGs6IFxHfdtv0WjCmTN7E/Pmbmb2rPU0b5lF/foZ+J0nz3F6ym0YVeCsWs/7v32MrqYGFEVhTfUaZsbP5LIxl/HioRcHopuDBAkyNKNRAEnAid/8xv5jo2lzur4r+k1GLwshBucgBoQQdwohDgghDnR0DJ2e4HR83hWA3eLGdMz+L/vB1kSXiESSpLNaAajCwjBMn45+z1Ei9ZFEGaJImR6Ilm3ImELMnZNRR+rp7erE6ulE7VMjO0dv0pi4MAm9UUP+utoR26WlpbEsS4fWlcRNHdmBIjNZFwVORmYEfndVUXEgYFMv2FA3kBX1RCSVihBzKJaWJsbkzWD2NTcMnNPo9Cy6bwVOvZ/Pnn6arqYGdLoE1Opwqtu2EdutJWuxH7u9mPHjHsdozCAkJBWTKZsF1zxAb7uVVx+6l4r9uwfGNJum4XDqSXNXUl2wn7XP/p5DbYXU2mq5MuNKHp79MJH6SB7ZfjyDaJAgQQYzGgUwVG7gU3cYh2szUt+/ApnAVKAF+L+hLq4oyouKosxQFGVGTEzMKMQdzMAKQHv2CsB4zP7f2wKyjxa3ntjYWNTqsxvTtHQpEU02FqnGI4QgTF2LX1bxdkcYQgpMW03hAWyeTgC8pxSRHwmNTsWUi1KoO9o1okcQwJwZU8mlhL3NBnaHfyOQKRQCSeTCUnA2N9BUZiF9cjRup4+Dm+qHHCc0OpbQmDiWr3hgkMfSpNQ8dsztxYefd371v9g62jGbJ+DoKSLc7MUUX0Rc3FXExJwc7DYmbwbffvJpwuMSWP37X/Ppy8/TUVfDmz97EEtBGMZYF0vu+gbtNVWsf+N5dCodF6ddTJgujF/O/yVV1ir+fPDPo563IEHON0ajABqBE5PQJAPNo2wzbF9FUdoURfErgSrhfyNgLvq3cHwT+My9gGS/jNN6QhqIngYUoNnmIyEh4exlmh3wh19YG3DBtDvKcJPM9kob1r7AW3bl5k/xOANv37425xmNP3lJMjqDmvx1dSO2E/G5XKFsYbxSyYbuFHbvPv6mTVQmVdV6FAXmXJ1B9sw4Dn/agMM6+K36yh89xE2P/44Q02CTmFpSk5k+icIlCl63i5WP/xSLJwSDZCV1aTNqdTjjxv58SPki4hO56fHfMf3yqyncsIZX/+debJ0d6POuxS2DN7KAcQsWo9rXyDLd3IH01vOT5nPD2Bt4pegV8tvyz2DmggQ5fxiNAtgPZAshxgghtMCNwOpT2qwGvtPvDTQHsCqK0jJS3/49gmNcAxz9nPcyLHa3F71GQq06c69Xp82DonDcBNRTjxUzfW4fiYmJZy3TQW0rTZGQcqg1IKO9hMjwHHyyzJPrSvF5vTRWV2DsakGRvXjbz0wBaEPU5C5Nprqwg66m4548iqLQWm3l4KZ6Nr1cxBtPN/FS2+uouueRk5XKhg0b2LUrsDFLVBaV7WOISDAQmWhk9lVjkP0KBz6uHXS9sNh4TBGRw8qTF5fHIar4OK8RS1crxZuOopYUDNFucib8Go1mSAsgEMg4uuQ7d3DNQ79g8oWXcttTz5K34ErynSrs3Z+huTCdPp2fpG22k+oJPDDjAZLNyTy8/WFsnpFXQkGCnI+c9omoKIoPWAFsAEqAVYqiFAkh7hJCHMs4thaoBioJvM3/cKS+/X2eEkIcEUIcBpYCP/ributk7G7/2W8A97uAGo+tAKz1tBAL8LlWAAfaDnBkgh4OFtHXUonb3UpyTC53LMrgzX31rF2/FZ8iE9vnQba14KnvPv2gpzBlaQoanYr89XXYLW7y19fy+s/38O5T+ex6t5Km8h7CokPIiq6g3TueqeOWk5OTw8aNG9m4cSO7LMlUSWY0iW0cPHgQU6SOnIWJFO9oxtpxZgrp8jGXc0HKBSyefSWJ316G1BzYO5FtYweZfoYjY9pMLr5zBabIKMaEjmG3Qw+Kl8bWv3Jkhg9Xexc7V7460N6gMfDkwidpd7bz+O7HA3WR8/ex/rk/nZHsQYL8pzKqp2K/i+baU449f8LfCnDPaPv2H7/1jCT9HPz8ihzuv3jsWfUdHAPQQLNmDMIniIsbuoLXaDjQeoCZF02HnTtp3fASpILJNIEfXTSWz0ra2fPuW8TIMuNuvY2+Hc14W858taE3aZi0OImDm+qpPNCGokBidjgzLksndWIUhtBALQDZGkvXH6rYv6aOGx65BiHE8VVAmJWiJihqOohGo2HGZWMp3dXC3tU1LPv+xIFrlZWVodfrSUtLG0oUUkNTefqCpwc+V8bMYdsHj7DwmkFhJaNCo9KgN2Zx1NdOrrqOi2ZcRqYhh/y1q8maOZfkCYFsp5NjJnNP3j08XfA08xLnIW0uonL/HhbefNtA/IJX9qKRNCNdLkiQ/0jOi0jgEK2KGLPu9A2HwNFzTAEcNwG1SEnExsai0ZzdQ6PV0UqjvZHsKYsxzptHd/HGwDVME9BrVPzhhqlE2RuJcHqIvf12EE4Urxq5fzP7TMi7OJWUCZFMuzSNW345h2semMb4uQkDD38AKSyB2deMo6fNScX+Dq677jp+9KMfMU69gKyuRH58aTpms5kjR45gDNMx+cIUKva30dEQKPvo8Xh49913Wb9+/XBiDCJr5hxue2w92TMWn/E9HSM7PJtXWnpo8QrG+vYy71vfRG8wUrT105Pa3T7pdmbHz+Y3+35DY0UgArmjtprOvk4e2vJjbn93OtU9I+dQChLkP5HzQgF8HnotLtRaaaAWsNLTQLMv7HOZf/a37gdgZvxMIm65GXeoDbViQquNBiBJtoBKxirC2VhhQZcR8H7yNJ+5HTvErOWq+6Yy5+pMwmOHjycYMyWa2PRQ9q+pwe+TEV4t3Y0SE/R7MdnryM3NpbKyEqfTybRlqWh0Ko5uDZSFLC4uxuPx0NLSgtM5etOQSv353rqzI7LxIdjuzUbxWamue5LEcRNoKju53oAkJJ5Y+ARhHj2unkBsxKcHPuSqD67C2b2O70Y52FcR9BYKcv4RVACnwWFxY4rQB4LAFAWb1YLTr/pcCiC/LR+z1kx2eDamxYvxp6vRtKoHAs1KP3gXgOaM2Tzy/hGUKQHzlXPv4Epap+Jta6frn/88KZPmaBBCMOcbGdgtboq2NVOZH6jLmxXfAF2V5ObmIssyxcXF6AwaxkyJpqqgHb9PprCwcGA1VFNTc0bX/Twcqw0wb8yNjElfQVvbamJzfFiaG3HaTg6CizXE8sPYbwMgC4WDR7czPnI8NyQkA6CxfkLAIS1IkPOHoAI4DXaL+/gGsL2dFn8gLcPn8QDa37qf6bHTUUkqFAm88X6kIhvu6kD2zZr8fZg8Pr734Pexubw84zCi+L24ioeOxD2Rtid/Q/uTv8V15MgZy5UyPpLk8REcWFdL2d5WYtPMhCVEQlcV8fHxREdHc6R/3OwZcbidPor311BbW8u8efPQ6XRUV58+g+gXxZyEOdybdy/XZl9LWtrdhJon4zF9hNrgpaWidFD7SIsaVIL2WB9jvYn8ae79ePoqsauTCZec1Ld8+KXJHiTIuUBQAZyGY2kgALA20EIcQnDWG8Btjjbqe+uZET8DgL6+WhTJj6ZVjeXNlbisPbT32UmOTWB8SiR3LsrgreJu/P5evJ2uEcd2lZbSuy5gh7fv3HlW8s25OhOX3Ut3s4OsGXGBpHDdVQhFITc3l7q6OqxWKyk5kegMavbtDvjYT5s2jfT09C9VAWhVWu6cfCcmrQlJUpOT83sQHjKWN9JUXjCofWtlOQljxnLNotvwdtlobHwLSdKSlPkY7V5BRfWfgimmg5xXBBXACMiygrPnhEpgPXU0E0t0eCharXbkzsNwoO0AwIAC6O1PixyetgDr++9T/vqryEKQtSSQkmHF0mySwkNokD0IVRiexqZhx+545lmk0FC0GRk4dga8eGo7HVz29HaONo2uiHrcmFAypsaAgKzpsYGcQD4X2JrIzc0F4OjRo6jUEhlTo2m2VJExJoOwsDAyMzOxWCx0d5+5y+oXgdGYSW7uc4REeugz/B2v93hGVNnvp7W6gvisscSmZyIkP21tq4mOvpipCQvY4TQjPI10dW0ZNK7FZRkobA/gctixdZ5dWpIgQc4lggpgBPp6PciycrwSWE9gBZCYlHzWYx5oO4BJY2J8xHgA7PZShFATd8UdyHY7ZR99iFpWyLzmm0DAg+kXV+ZwQGgQhijsW7cNLevhw9g/+4zI730P09LL6CssxGvr5cF3DlHcYuPdgsZRy7jk2+O46r6pmCP1JyWFi4yMJCkpKWAG2v0cBvfH+FVuEv0+qPiEjNCADf3L3Ac4leioJUhd1yKFWCk4eOuAEuhqrMfndpOQNZbY9AzC0uzIip3EhOtRS2oMEUvp8auoqX32pFVAn7eX33+yjGd2/nDg2MYXnuH1h3+EzxtMOR3k601QAYyAvbvfBbR/BdDb0YgdIwnJqWc95oHWA0yLmzZQOctuL8VoyMQ4bSbaCeNp12tICI1ArQ8Z6HNxThzymDiEkLBsOzTkuB1PP4M6MRvZMxNv12QMC3/K7r9+RmGthUijlk9K2kZt3ggxaUmZ0B/Ve4ICAMjNzaW1tZX2Db+jsakAIUu4DzXD69cStfISQuml6uNn4PkFsPIW2PQLOPga1O+BPstJ12lvb8fv95/J9I2KpNQrqNmYjMNe0a8ELLRUlgEQnz0Oc1Q00RPtKF4TkZHzAFiQvJiNVgmb7RAWS2D1ZLeXsW3Pci4wdBPv2oXL56LP3kvVgX04rT1UnpCgLkiQryNBBTAC9p6Azf1YJbDm9i7g7COAO5wd1NpqmRE34/g17KWYTBMQQuC79GJcWjWZ8xee1E8IwfWXBDxevLUdyO6Tc/E49u3D0ygImf0Avh4PpiVJoNKQYYlktSqUp1PiaO3uo6L99MVdBmGOB40RugJ+8pNiJAQyB8KvplQ9kcSIdBr883DfvB5x3T/ISIyiRqQjmxKhsxx2/wU+vAdevgR+PxZKPwagqamJ5557jvfee+8Lt7snjZtAb4MJg/u7OJ2V5BfcTEtNPnpzKOFxCbjdLRgTrNgbEgiUrAjkDtrnUOOTTNTU/pn6+pfYt/9q3O52Stw6UrR+djdsoHz3DmS/D53ByOFPRh/3ECTIuUhQAYzA8SjggAJosXoAhfj4+LMa71hSsmMKwOu14Ha3YjKNo6WyjE/2bcdgMjPhuhsH9U3JjEBBQWOIYf+Hnw0c99k9dL1eij7vO2jTw4j/f9MIXTaGg9Xv0lDwMqHpYYwptXIrOj4pOYtSiUJAVEZgBeBxYlq3ggxVG/t6wvH5fMyePxu/D2q602HSN8mYcwV9fkHrBX+CFfvhkVa4twBufhvic2HVbVC+kYKCwCZtUVERW7ZsOXO5RsAUGUVoTCwdJQpTJr+Ey9UMCW+QNCkGIQQtre8jBDTlS/h9geC66JBoxkZNpMATQ0/PPioqn8CrH8cTLVrGZf4YgOKGtyjZsZmo5FRmXPlNGooO0908/J5MkCDnOkEFMAIOixuVWkJv1ICi0NKnITpEQac7u6jiA20HMKgNTIgKZALttQdcFZ2dWt7+5SPojEZueuKPgQIrpyDUEqooPSI0CddTT1B1z720PvEb2n7zCUKXgibeQswdU1CF6Xhldy2fmcYQXr+HmOWRhEyK4iahY/eR1rObiGP1gTf9HDrLyJ29BIDY2FgmzcjGHKmnYn9AuWRkBOoIDHgDqdQBT6Kxy+Db70JcDp6V3+Xo4UImT57M1KlT2bp1K4cPHz472YYhcewEmspLiIiYy+SJ/0SRfZgnfUK3ZTctze+gFeNwdUt0Nx/fG1mYtJD3W9rx92aRGH0/z7UpJIRmc0HWbbgIQVgP0VRazIQFS5i09GIklYojn204rSw+Xy/5BTfR1PTmF3qPQYJ8XoIKYATsPW6MxyqB9VloVqJIDA85fcch8Mt+tjRsYWb8TNRSIKrYZi0E4NPn3iYsNo4bH3uK8LjhVxe6eBOqlAm0GCJoKjiKs8CO4jfjrVtNzA8vRUiC8rZefru+FO2cuQA4du4i9OI09ApMbnLRaR+cynlnZSfvFTQiy8OYYqKywFID+/8Gc1cwftE1GI1GZs2ahSRJZM+MpaHEQp/dg8lkIjY2dmh30JAIuPUDSkxzcXv95CWouOKKK0hLS+PDDz+koeH0cQ6jJXHcBByWbmwd7TjaVJR/kI5GHcXBg9+hz1VPfFxgk72j9ricC5IWEN8cwpE3NGz+xwFqemq4I/cOVJIKXegMxujcCElhwoIlmCIiyZw+m6ItnwzaDFYUhZaKMmS/H0VRKC5+kJ6efVRV/wG/f2hX3h5rPqVlP8fvP7Mke0GCfB6CCmAE7BYX5n7zj725nF7MJMSdXVGanc07aXO2cXVWoCJmU9NKqqr/gKMthMiE8dzw6JMjplMGUMcZUMk6DH98jt8tfgh11qWE5EaQ/o9fI2m1bC5r59rndmHSqXng+8tQJyTg2LkTTZwR7/gIvomWHQdPLuVgcXi4+7V87l91iOue30VZa+/gCx/bCI7LhQt/jl6v557ly8mbEFjJZM2IQ5GVk1YBdXV1eIfykjFEcjDsUiIkB+mf3oV65x+54ZJ5hIaGsnLlSnp6hi9mfyYkjg3I1lxeQktlOV67hrwpbxAeNh2tNpr0rBtRa7S01x7PAZQbncvEhggUtaCvuYPZHalckn4JAOOSrkOrVjDkQmhMIBvs5Asvoa/XRuW+XSdVHtv51r94438fYPubr1Bf/zc6OjcRF3cVXm83LS3vDpJVln2UlPyUpqbXOXz4bvzBKmZBviSCCmAEHP0rAICW+oAXTELKmLMa6+3yt4nSR7E4eRGVlU9RWvYItgYD7urlXP+/vx6ykMqpaGINIMMl0aE8pTPTisy2zFBESAgvbqvi9n/uJyXSwIcrFpAQHoJx/jwce/ag+HykXJmJCmBXy0ljPvtZJXa3jwcvGUdtl5PLn9nOU+tLcXlP8M5JXwCp8+C6l0Ctw1lQQN1119N033+jyDLRySaikoxsf6uCd5/KR+UMw+/3D/lG393dTW1DE3nzluKMX4ry2a8xvjiLm0O243P3seqtlfh8Qye9s+36B4f/dANK0Qdwmo3jmNR0NPoQmspKaKkoIzw+AXNEMtOmvcHcOZ+i0ZqITkunveb4CqC7sYHoLjUF2T20RrrIKdbjdQYqsakd6cg+gW9M68CmddrkPEJj4tj40cvc8u5s9jTvJv9dBobyAAAeJUlEQVTjD9n7/irMUTGU5L9GZdXviI29jIk5fyA0dCr19X9HUU72fGptfR+ns4qE+G/SbdnB0aL7kOX/bBfTYH2Gc4OgAhgGRVYCtYDDAzEAzc2BN+eEjIkjdRuSNkcb2xq3cU3mFZQVP0Bd/Qt0lUbhKFvM1fc/hkavH9U46v5kbt1vlmL2yryXpOGhNUXc8Wo+T6wt5bJJCbxz91yS+s1UpvnzkW02XEePookKoTROx1SLD0ebAwgEif1rTy03zEjhnqVZfHL/Yr6Rl8SadQf510Mr6VxTTee/iml9qY2W9sdwO+JRfD5af/k4wmDAsXMnXS+8gOKVWWxWc0l2KJ4+L2Wb7KAItny0H+UUs1JhYcDsFRc1iVfyf8DHEetxL/g5Ma5qvuH7gOaWVj5dNzglgyv/Tf61sYD3enL49O0X4Z9XQMvw+waSSkVC1liay0torSwjIWscAEJIqNWBqmGx6Rm011UPPNAPbfwYoVZRlmSjcppA6fOy6+3XASjduRt7i5HoCCsl3YHgPSFJJM6bTmxCEXdH99Jy6DaKDj5J9twZ3PTELxhzcQueXh2ZaT9DCEFa6p30uepp7zi+b+D3u6mu+ROhoVOYMOEpxo19jM7OTygu/vEgRXGu0tVYf1IhntOxsXYji1YuorC9cNR9WlpaKC4+fS6sIGdGUAEMQ5/di+xXMEXoUBSF8hY70VjQhZ95Coj3K99Hi58Z8nbaO9bTlp+MvXwq33zol2hDhs/QeSqamBAQ4O9xE3pBKv9z+wxiTAHvngcuHsufb87DcELdY8OcOSDEQFoIw5IUfEDd6sBq5qkNpWhU0kCthEijlscnhvMv9CzXpuLc0YCvw4k6OqBQul4vpfvVVbhLS0l84glCr7ySjmf/TOff9uBvdaLv6OPqb2byrZ/OITQkmqb2Og5+VjsgjywHEsdlZGSy/70m9CYNDeV9vLN9PpbrtzHhpieYKRWzO/8IFfuPezr5i1az6qNNdBFBVsYYdjCLfc1+eGERfLgCqreCx0ltbS1/+tOfePPNN+no6CA+ezwdtdXYLd3EZw2uBxGbnoHb4aCxpA6Xw07xts1kzZ2P1mDg5sV3Mvni5RRu/Jj22mpKd25FrUwgRquwveYdIFBHYL3uY6InWujrjEV0aUma14556jscKbkdTYigen0CO99cBUBMzEWEhKRTV/fCgNJpanoNt7uVzMwHEUKQnPxtsjL/h7b2NZSUPozL1XJOp6fobKjjlQdXsP7PfxhVe5/s49mDz+JX/Py5cHQZWL1eLx9++DSbtzxFe3v75xE3yCkEFcAw2C39MQDhOo4eLqTJITEvrDXgFnkG+GU/ayvf5sEkNW57CS27xtJblca1Dz+OISz8jMYSGhWaOCPatFDMS1OJNGpZdddc3vvhPO69MHsgm+gx1BER6CdNGkgLMWtSHB9IXsxVNgr3N7H2SCv/tSiT2NDACsRZWEvnSyVI6hAaylZhXb0C/zQ30d/JIeq2ich9Xux73BjnL8B8yTISHv0F+ryr8DTIGOdEoUkwYl1TQ1S8gYsuW4hf42TtlnepLQ+snqqrq7HZbJh8iVg7+lj2g0lc/aOpuJ1e3v5tPjXuGSz73k+JlSy8//EGeos/RanYxNp3XqWaVK68fDk33fJtxo0bx1rvHIrH3gOHVqK8ehU7fnM1r/zzH9DXQ21VBc899xcKSjuQ+1NOu5xRg+YzNj0TgPd/v5F3H/srXreLqJzpXFF7BZ79HsZftBydwcj7v30Mp7WHrPEB99yW9kD9hpcO/53JhnJkv5bKj8LpKJzPX1rCKPMYcbvbyZnwJLkLbubwp+upOXgAIVSkpf6A3t6jdHXtxO2yUFv3VyIjFxIZMXdArrS0/yI9/R5aWt5h564F7Ng5l0OH76Sm5lk8nq4R/0f+3crC6rby/KHnsbgCQX1bX3sZRZYp37uTxtKiYfsdc7ddV7OOWlst8xLnsbdl70Bq9JHYu3czaekfMW7cdrZuffmLuZEgAKgeffTRr1qGUfPiiy8+euedd34p12qrtVF5oJ3cpQms/uBVIvxtXH7NTYjorCHbu1zNlJQ+gt/Xi8GQidTv6bOjbh2JtpXEqn107MvFUmng+p/9msjEs0snYZgcjXFmHEId0N2heg0JYcN7Jnmbm7CtXUfkd25FG6LnrfouJnd7CSvuYYpKzTdmpaCLMWDfU43l7VoUj53Ia5NQ3XA59e+vQVn/MVGXX4Y2KYreDR8iDDkY5i/AkJuAt8uLq9yEr6MUT9FbRN15I45dLSArpC0YT1R4DMVlRzly9BDJyUkUFORjs/XiLUkkZ0ESadMiCI0zMX5WPI0lFg590oDDG07O5HGU1FXSVLQHR9F6dijTWTBnBvMXX4gkSYwbN46amhr21buIv+ZxNtky2W+LIUffyS3ufzHLv4869xTaVX68EdHIeiONbX4sjg5aWpuwWq1ERUXRvXcXJYcPYtIodHXX4I1JoryjnRiTmrauHvIPFhI/Lofu0qPoDQYuufMnVDa/hcfTgUUznk+OPs5Cs5fUhB8hPElcdd9DJMRO4ldH1+ALu4hrJt1L8oRcqvbvoXT3dowRkdTlN+LX51NVuIGK/PVowpuZNPEZdLqTV5YR4XOIjl6KyTgOSaXHbi+nvWMdFstu4uOvGfj/OkZvdydr/vRbdr/9Bhl5M9GPYk/pTHF4HfzXpv9iTfUaynvKybHGseedN5l/w7extDTRXFZC7gXLTnoRURSFT/72Fz75+19ImzadR/IfJcmUxAsXv8AHlR9Qbinn6syrB728HMPpdLJv/wOYze0IYUZWStBqLyTiNA4TQU7msccea3n00UdfPPV4UAEMQ2OphbqjXSimo1Q0d3JdhpuIC+8dsq3P10vBwVvp6dlLZ+cnNDWvxOe3o1GHUlT0Q8IlD67Ki6jba+Wah35BQva4s5ZLaFSIMyhuL9RqrO++i2XVKpy7d5PoaOfl9i5sKjXz9Cb8h7qw726k76gV2dZA1C1ZmBZMJzzcxGpNCkk7N+DYto2Q1BQ6fvdzQvLm4G1Uo44KoefDKpAkjDNlel57BUnjRz9xOo69rYTkRpOQmUS4OoHyijIOHS2gq6sLsz8RsxRHRM9mvA/cw8uflPCsIxIl3UiMXkNncQ81h9xoNSaa1R6qlRSy08dwxTeuRZIC961SqRg/fjwlJSXsyy/E4vBwySWXsOxbd6KZfw9HbJdSV5RIXkY4Fkslfq0Or1qmtbWRmrpaSktLObB7O+WlCrg6sPkteONi8EREouuLYYa1lsneozhEGDUOD96IWKIiE5m+ZAkOZz3avsP8pmQrt0W7iDBPYsrU3zF2zgI0ej0Z4RkYNAZeK3mNDmcHS9KWkjh2AgfXraZ8zw46amsxRoZjTmtEE2rBZ00nZ8oDgx6AQgh0ujjCwqYSG7OMlORbMZsn0tDwMi5XIzExxx+0Zbu3896Tj9HV2ojTbadi91bSJo9H0rro66vDaj1IV9dWWts+CnghKTJGY9awD92hcPvdrPh0BYc7DnNl5pV8WvMJhjXVhIVGcvl9D2IIC+fQxo8JT0gkJu24o0ThhjXsee8t/F4fR/dvY3doFY8s/DnZEdloJA2rylcxLW4ayeahX4g+2/wiZvNHxETfxJgxt9NjfZfKqgZycq46I/nPd4ZTAOJcti+eyowZM5QDBw58Kdfa/X4V+ZsrsEbtJFtq5IYH/g8Mg986ZNnLoUM/wNKzh6lTXgYh0dDwTzo7PwUU3DI01M/GvsHGku/cwfTLr/5S5D+GoihYP/iQvoIC+oqO4i6rAH+/l42QUMfloklbgCK7ibl7AaZ5swf69jg93Hv/8/xk6/NIQqCOiyPjw9V0vlKBt8kOAmLuyEWXEU7rLx/H8sYbhN/0HWSWoE0wEn1HIHvo9r8WUNS0m3Z1Fzm26US0bCWpcA3tkYnEdjezY9blPJN+ET6Pn4gQLQ9OTUPb1MfRuj34pD7CLBORhApjuI6IBCPjZseTmRdDr8PGZ599xqxZs0hJSUGWFUp2NrPl9TKyZ8Zx8fdysLQ2IbxOmtZuYuuhCSyMeR1jjIUPWmfQq/WgKAqS142i0VHoTWKJaRKa+uO++orWQq+pEre2jwRfJFfekkxJy4O0eAUJGpg58wNCzZMGzfkzBc/w6qFXuTLxSm4ccyMtNTWEhZrJnTEThIuduxbg97koeSudSUtvpiDbQn57Pg/PfpiJURPp7OykoqKCnJwcwsKOBwbW1P6F6uo/kJX5EHHRN/PZy89TsmML7kQ/hkXVTDD7UA/3fqDo8HtApXNjMIwlK/MBoqMvHHiQttgq2VPzFh40LM76DvHGQEyKV/Zy/+b72dq4lScWPsHlYy7nZ899n4ht7Uy949tceNGNKLLM64/cj8Paw+1/fB6NTk9D0WHe/tX/MiZvBtOvvIaVj/+EvggVP/3DKrQ6PW6/m8vfu5wEYwKvLn910AO9q6udXbuXo9cLLli6DZXKwLbtN+NyHSAu9q9MmXLhWX0nvkg212+m2lrNLRNuQa8enTPHV4EQIl9RlBmDjo9GAQghLgWeBlTA3xVFefKU86L//GWAE/iuoigFI/UVQkQCbwHpQC1wg6IoJ2cLO4UvUwFsermIQ1Wb6dO0suKyyUTMumFQG0VRKC19mOaWVUwY/1sSE68bOOd01rL20P/ycUERk7YnM2H+YpavGPym92Uju91s+GgHGVo/iUYViseD4vGgnzgRXdZg89ZLO2o49PQL3HV0NcnPPE3oxRfT2dSL7Z9FdGaHYZkYgUoIVBJEvvYi2nfewHj5D5E0UzEtSMJTb8NT34sHhU6/m0SVHndHCR+YXPzXk3fR++QTWFdvIvQb9+P3xOGWFXYqXpSsMK6+Yhx2ixt7kwNPYy9yZx/ubheddi+9KomOBB0lGpmp4UaS3ILW8h7cTh9J4yK44q5cPOUWnAVtCI2EaWEy61cW0lrnJEO/l3LnQnZE9rIotpr2jnYmpiSTH7uIN/fVc8+0VL43Lx1ThB6dQY3f3sWrz71EfV8fRlcYeRe+iFB5SEr6NuPHPTYwVx6Ph4qKCoqLiykvr8Dr9QyaT6PRSEZ6NqG6MkwmLZX53bQfOMiWqR10p6tR+hSu4Rs4650ogEoSzJ8/n/kLF1JuLQegr+GP9Fq20bB1HF3lAueiVvLG9qCXVMhiLlUNnUh9Jvx+DT6fFrfbiNLlQzS0EB0Tg2wsIXFWF1qzG61hHBa/Cn9fFaHScU+eAw4V1c44FodNodBvY13nQR6Z/Qg3jr8Rt9PB3++7g2Z9DwVLFFZdtQqz1kxj8VHeeuwnzLvsIibOW8Brv/0DIeZQbv71H1jd+DH/fP93XHAwluxZ87jy//0EIUmsKlvF43se5/mLnmd+0vyT5mrNxz8kJGQDWVnPkJZ6eeDe+5rZvuNCnM54Lr9s40AlOkWRsVoLMJnGD3h5nUiDrYE3St/Ar/i5cfyNZIRlnPF3x2azsXXTRgxGI1MWzeTJ/U+yoTbg0ZUems4v5/+SvNi8EcfoaqznyGcbMIRFkHvhJYPcv/t8faypXsPm+s08e8GzqCQVbbU2irY3MefqzJNqeZ8JZ60ARCBbVjlwMdAI7AduUhSl+IQ2lwH3ElAAs4GnFUWZPVJfIcRTQLeiKE8KIX4CRCiK8tBIsnyZCuC1J9ZS6dnHgigLF9379JBtauteoKrqKdLTfkhm5gMAdLu6Odh+kINtB/n00Ecs3RpKfOIYbvrlU2h05+4bwnB4fDLL/rgVg8dJ7rgU9td1U93hGLb99eWfcXvxOpSLHiPUFI9D8uJ1l9NXupcafS7xko2kzAvQ6dWEL0vH09iLs6AVRZZRmaxoc3KwHGonxKvgQ0HRqdC4j5dq9Eig7f/oVxRsfgW7DDZZxhviJylaIdGgx9siwKPgN2sQXhnJ5UdKNbOr0kqb00+V3s/Nl2WS1N1DS0EpiWPHozEaKGi2Utphp8+oJio9jJzJ8eTlRKNTq1j37vvsO3qY8Vn7iYqqQ3f4SlRR6biNMbTYeqluq8cv+5FkNVpXNCqfAb/Kh03fjlvoGa9KxuNro0vqQhYykiKh8+vBY0VxdpGQGU91j4xQQGPpwIwXm8aALzQSv+LiaNhhdDYrk+tMTF7egDrUS7NHRZrJS19fMkVHp9HXF4ZJb8LbI1C1HkZ4bXii4vFGxAICky0ctZDw2IuISSgiNq8LJIGzU4+rXYuzPQRTgoPYqV34FcGmbi2fuCXu7XVxc9pi+jKnc7ismIbiAlIWTGFd9xayQqK4VJWAtquVnQc8NLaGE6Jy41IMXHzlFPzpeTxT8hqqkFC+7VvE7g9Wkzczh6lL5uOP0vLEkV+SqNVw86S7MJqyMRmzaGqqoKLyFoTI46ILV6EoCk5rD531dZRU/Q1N2HrayuYSbUhAH9uMX1eKTA8ZqY+RkvYt1P2KobC9kFePvsqu6l2YZBMSEjbJxvTU6Xx38neZETeDZmsdh+s3c7h1PzW2OjISZzE5cTZToqcQZ4ijqCCfHVu30mYLBElqrJ147NVUJzmYf9E3mZQxg1/t+RXN9mZunnAz9+Xdh0Fz3LtPkWVqDuVTsHY1dYcPIqnUyH4faq2OnEVLmbb8arwRGlaWrGTNkXfx25xkazK5LuJ2OkrB0uJDrTey/M7JpE0a7MwwGj6PApgLPKooyiX9n38KoCjKb05o8wKwRVGUN/s/lwFLCLzdD9n3WBtFUVqEEAn9/Uc0jp+tAnj1hSuJSBh9PnwApb8GMH43gqHnyBDmoaM2lPLdiYBAQcHbH8AjEJi8WkLUIdz25LOExZ5dBbFzgU3Fbdzx6gHCQjTMSItgenoE01MjCDNo8PkVZEXBJyvY+rx09LpRr/2Q8e+/gWRORG4vxi2pKIzJZndiLm1zL+Af107D+1E1nlobQiNhmBWHc/cb2N57E01iIrLHi6yJQRM5AaE14ra14HS00utoxwOYw2IIi0hGG5aGYkhBIzSodKGI/hTbit+Lr7kAb/0u2nub6dObCU+aSXTqAjQ6Mz6/D7UqsImqyH5keyCCWag1oNKApEU64Qvs89jx9xeEqdR1s89ci6T24/UeV+hGRUeaP4Z0OZZYfyiKx4lQ61CrBr+xufx91Mn1dGk89Gr89AgHvZILocAYbyQ57mSMmAgsmv20Sp0c1NdjUwVMU5IiMGr7mDj9I4Tkp6ZmGq6mKWT440n2xbLbqiPUUUuYZSt2Xz0JVhVuUzLFE5KwRWjghEWo8PkQfn/gWkKFECqEUNDqOhkzroDI6FZ8Xg0qtQ8hhv4eKIoYdE6WBZI0uL2iCHxeLX6/Cp3eOaxTnSxLyLKKkrfH4+sFFP/A91ARClk3tGEODxgM/H4Vls54utqSsXTG4/f3rwqQUFQqUKuHvojfj/D7OPHrLeDkb7skoWg04PehtrtQeSLB60HTV4/wBFxSVdpIBBI+xY+s+Al8+0+8aS/C7wTJgDBMQugmgexA7juE4qpA4EeRQkB2DfusAbjmJ78gI2/msOdH4vMogOuASxVF+UH/51uB2YqirDihzRrgSUVRdvR//hR4iIACGLKvEKJHUZTwE8awKIoSMcT17wTuBEhNTZ1eV1d3ZncOvPLXb6EPazl9wxNRQOAGafhgHLdLS31lMoosHZMVszaUcF04odpQ1Co10y67aiAtwdeZTrubSIMWSRqdCat3yxacu3ejnTmb6pQJ7G1x0G33sOKCLMINWhRZwV1tRRNvQGXSosgyXS+8gLumBkkfghQSgk+rxdrnQ+31oPK4UHncqLyek8xoQiWhjo1DnZCILSSGfe1g99oJd3cT2duFuacT4XTg8vrx+AWGkAxMhljCQ31IJj+qMFDpdciuPmS7A9luR3bYUfxq/Jhxek34MIPQHJ8LtYt2jQOtR0HjFqi8KhRZIlS2YhBehDYSlSYUneQhhF6Ep5t2tx23rxWUXlAJJE0IobowQrUx+KRoOuQ4vEKDUZgQSCiKjA8ZCYEEyIqfek07LpWMX4BX+FF0NnQ+LTG9sWg9Aq/sA5+NON9hwrUe0IciGUyETJ6AMkZDe18JTW3lRLpDUPkMWDwauj0avLooPIYU3C4Ft8OLzxtYYsl+FwZTEaGRVXjdIbicZtxOA54+Axp1NAg9iqLFLnuRNC4MIb3oQ3rRazqQJD+KiMDv0+JzS6hkCNf7UXROFLUTRbLjdphw2k309ZrotetRa10YTDZCTDYMxl5s9ZH01keBUIGkQlFpQGtG0ZnRmq3EpuXT052IpSsR2S8hZD8o8gk/CirZj84vo/LJqPprT8gqFT6VhEct4ZckBAJJSAgh9bt5B17mZEVGUWQkRYtkSEJojABE6CJIMafgdfVgbSvE1Xs8vYrH76XP5zzlMS6QwxORIxJRNKBIMigCIUsIlxdVZw1qj4swUzwhIVFo9GHoTSYSMg0YQmXcDjsuu50JC5eOmCtsJIZTAMOoxlOkH8ypWmO4NqPpOyKKorwIvAiBFcCZ9D3GbXe/dTbdgpxAtOnMMqCalyzBvGQJANOB6aes7YQk0GeFn/BZIvruuweNk3QG14wCzi5Rx7+flNOcTx/FGCNbl09PJDD+c44R5FQWfdUCfC5G40/YyMn/v8lA8yjbjNS3rd/0Q//vYIhfkCBBgnyJjEYB7AeyhRBjhBBa4EZg9SltVgPfEQHmAFZFUVpO03c1cFv/37cBgxPABAkSJEiQfxunNQEpiuITQqwANhDYlXpZUZQiIcRd/eefB9YS8ACqJOAG+r2R+vYP/SSwSgjxfaAeuP4LvbMgQYIECTIiwUCwIEGCBPkPZ7hN4GAyuCBBggQ5TwkqgCBBggQ5TwkqgCBBggQ5TwkqgCBBggQ5T/labQILITqAMw0FjgY6/w3ifNF8XeSEr4+sQTm/WL4ucsLXR9YvS840RVFiTj34tVIAZ4MQ4sBQu9/nGl8XOeHrI2tQzi+Wr4uc8PWR9auWM2gCChIkSJDzlKACCBIkSJDzlPNBAQwqg3aO8nWRE74+sgbl/GL5usgJXx9Zv1I5/+P3AIIECRIkyNCcDyuAIEGCBAkyBEEFECRIkCDnKf+xCkAIcakQokwIUdlfc/icQghRK4Q4IoQoFEIc6D8WKYTYJISo6P89qELalyDXy0KIdiHE0ROODSuXEOKn/XNcJoS45CuW81EhRFP/nBb216r+quVMEUJsFkKUCCGKhBD/3X/8XJzT4WQ9p+ZVCKEXQuwTQhzql/Ox/uPn1JyOIOe5M5+KovzH/RBIPV0FZABa4BCQ81XLdYqMtUD0KceeAn7S//dPgN9+BXItAqYBR08nF5DTP7c6AsW4qgDVVyjno8CPh2j7VcqZAEzr/9sMlPfLcy7O6XCynlPzSqDSoKn/bw2wF5hzrs3pCHKeM/P5n7oCmAVUKopSrSiKB1gJXP0VyzQargZe6f/7FeAbX7YAiqJsA7pPOTycXFcDKxVFcSuKUkOgHsSsr1DO4fgq5WxRFKWg/+9eoIRApctzcU6Hk3U4vhJZlQD2/o+a/h+Fc2xOR5BzOL50Of9TFUAS0HDC50bOrLzsl4ECbBRC5PcXvgeIUwKV1Oj/HfuVSXcyw8l1Ls7zCiHE4X4T0TETwDkhpxAinUBp372c43N6iqxwjs2rEEIlhCgkUEp2k6Io5+ScDiMnnCPz+Z+qAD53MfovgfmKokwDlgP3CCG+jtWlz7V5/iuQCUwFWvj/7Z09axVBFIaftxARFYKSImUCdhKsUqUMYuzs7FL4B9IH/AfJHwipgljFoH3A2kYTI/nqhaQKaUM8FjNXjcle08gc7r4PLLPMneLhhdmzcwd2YLn2N/eUdA/YABYj4mzY0Gv6WrumyzUiLiLiCeWc8RlJj4cMz+aZJs9RLQA3Oci+KRHxvbYnwCZlqXcsaQKgtiftDC/R5ZUq54g4rhPuB7DK7+VzU09JtygP1DcR8a52p8z0OtesuVa3U+Aj8IykmcJlz0x5jmoBuMlB9s2QdFfS/cE98BTYpTgu1GELwPs2hlfo8voAvJR0W9Ik8Aj41MAP+DXpB7ygZAoNPSUJWAP2ImLlj5/SZdrlmi1XSeOSxur9HWAO2CdZpl2eqfL83zvhrS7KIfWHlJ30pdY+f7lNUXb7t4FvAz/gIbAFHNX2QQO3t5Rl6TnljeTVMC9gqWZ8AMw39lwHvgI7lMk0kcBzlrKM3wG+1Ot50ky7XFPlCkwDn6vPLvC69qfKdIhnmjz9KQhjjOkpo/oXkDHGmH/gAmCMMT3FBcAYY3qKC4AxxvQUFwBjjOkpLgDGGNNTXACMMaan/AQOvfnT1KnmxQAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "for hist in [hists_A, hists_B, hists_C]:\n", " for ens in hist['pathlength']:\n", " normalized = hist['pathlength'][ens].normalized()\n", " plt.plot(normalized.x, normalized)" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "for ens in hists_A['pathlength']:\n", " normalized = hists_A['pathlength'][ens].normalized()\n", " plt.plot(normalized.x, normalized)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Sampling properties\n", "\n", "The properties we illustrated above were properties of the path ensembles. If your path ensembles are sufficiently well-sampled, these will never depend on how you sample them.\n", "\n", "But to figure out whether you've done a good job of sampling, you often want to look at properties related to the sampling process. OPS also makes these very easy." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Move scheme analysis" ] }, { "cell_type": "code", "execution_count": 30, "metadata": { "scrolled": true }, "outputs": [], "source": [ "scheme = storage.schemes[0]" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "repex ran 22.284% (expected 22.39%) of the cycles with acceptance 943/4479 (21.05%)\n", "shooting ran 44.502% (expected 44.78%) of the cycles with acceptance 6624/8945 (74.05%)\n", "pathreversal ran 25.687% (expected 24.88%) of the cycles with acceptance 4488/5163 (86.93%)\n", "minus ran 2.900% (expected 2.99%) of the cycles with acceptance 563/583 (96.57%)\n", "ms_outer_shooting ran 4.627% (expected 4.98%) of the cycles with acceptance 643/930 (69.14%)\n" ] } ], "source": [ "scheme.move_summary(storage.steps)" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "OneWayShootingMover Out A 0 ran 5.030% (expected 4.98%) of the cycles with acceptance 854/1011 (84.47%)\n", "OneWayShootingMover Out A 1 ran 5.000% (expected 4.98%) of the cycles with acceptance 753/1005 (74.93%)\n", "OneWayShootingMover Out A 2 ran 5.080% (expected 4.98%) of the cycles with acceptance 655/1021 (64.15%)\n", "OneWayShootingMover Out B 0 ran 4.990% (expected 4.98%) of the cycles with acceptance 814/1003 (81.16%)\n", "OneWayShootingMover Out B 1 ran 5.010% (expected 4.98%) of the cycles with acceptance 745/1007 (73.98%)\n", "OneWayShootingMover Out B 2 ran 4.891% (expected 4.98%) of the cycles with acceptance 643/983 (65.41%)\n", "OneWayShootingMover Out C 0 ran 4.607% (expected 4.98%) of the cycles with acceptance 783/926 (84.56%)\n", "OneWayShootingMover Out C 1 ran 4.826% (expected 4.98%) of the cycles with acceptance 709/970 (73.09%)\n", "OneWayShootingMover Out C 2 ran 5.070% (expected 4.98%) of the cycles with acceptance 668/1019 (65.55%)\n" ] } ], "source": [ "scheme.move_summary(movers='shooting')" ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Minus ran 0.930% (expected 1.00%) of the cycles with acceptance 180/187 (96.26%)\n", "Minus ran 0.965% (expected 1.00%) of the cycles with acceptance 188/194 (96.91%)\n", "Minus ran 1.005% (expected 1.00%) of the cycles with acceptance 195/202 (96.53%)\n" ] } ], "source": [ "scheme.move_summary(movers='minus')" ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "ReplicaExchange ran 2.393% (expected 2.49%) of the cycles with acceptance 107/481 (22.25%)\n", "ReplicaExchange ran 2.517% (expected 2.49%) of the cycles with acceptance 137/506 (27.08%)\n", "ReplicaExchange ran 2.468% (expected 2.49%) of the cycles with acceptance 83/496 (16.73%)\n", "ReplicaExchange ran 2.318% (expected 2.49%) of the cycles with acceptance 63/466 (13.52%)\n", "ReplicaExchange ran 2.463% (expected 2.49%) of the cycles with acceptance 114/495 (23.03%)\n", "ReplicaExchange ran 2.502% (expected 2.49%) of the cycles with acceptance 138/503 (27.44%)\n", "ReplicaExchange ran 2.373% (expected 2.49%) of the cycles with acceptance 97/477 (20.34%)\n", "ReplicaExchange ran 2.711% (expected 2.49%) of the cycles with acceptance 98/545 (17.98%)\n", "ReplicaExchange ran 2.537% (expected 2.49%) of the cycles with acceptance 106/510 (20.78%)\n" ] } ], "source": [ "scheme.move_summary(movers='repex')" ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "PathReversal ran 2.597% (expected 2.49%) of the cycles with acceptance 516/522 (98.85%)\n", "PathReversal ran 2.597% (expected 2.49%) of the cycles with acceptance 468/522 (89.66%)\n", "PathReversal ran 2.582% (expected 2.49%) of the cycles with acceptance 314/519 (60.50%)\n", "PathReversal ran 2.706% (expected 2.49%) of the cycles with acceptance 527/544 (96.88%)\n", "PathReversal ran 2.677% (expected 2.49%) of the cycles with acceptance 504/538 (93.68%)\n", "PathReversal ran 2.408% (expected 2.49%) of the cycles with acceptance 288/484 (59.50%)\n", "PathReversal ran 2.537% (expected 2.49%) of the cycles with acceptance 505/510 (99.02%)\n", "PathReversal ran 2.592% (expected 2.49%) of the cycles with acceptance 492/521 (94.43%)\n", "PathReversal ran 2.463% (expected 2.49%) of the cycles with acceptance 366/495 (73.94%)\n", "PathReversal ran 2.527% (expected 2.49%) of the cycles with acceptance 508/508 (100.00%)\n" ] } ], "source": [ "scheme.move_summary(movers='pathreversal')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Replica exchange sampling\n", "\n", "See the notebook `repex_networks.ipynb` for more details on tools to study the convergence of replica exchange. However, a few simple examples are shown here. All of these are analyzed with a separate object, `ReplicaNetwork`." ] }, { "cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [], "source": [ "repx_net = paths.ReplicaNetwork(scheme, storage.steps)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Replica exchange mixing matrix" ] }, { "cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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The replica exchange graph is essentially a visualization of the mixing matrix (actually, of the transition matrix -- the mixing matrix is a symmetrized version of the transition matrix).\n", "\n", "Note: We're still developing better layout tools to visualize these." ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/dwhs/miniconda3/envs/dev/lib/python3.7/site-packages/networkx/drawing/nx_pylab.py:579: MatplotlibDeprecationWarning: \n", "The iterable function was deprecated in Matplotlib 3.1 and will be removed in 3.3. Use np.iterable instead.\n", " if not cb.iterable(width):\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "repxG = paths.ReplicaNetworkGraph(repx_net)\n", "repxG.draw('spring')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Replica exchange flow\n", "\n", "Replica flow is defined as ***TODO***\n", "\n", "Flow is designed for calculations where the replica exchange graph is linear, which ours clearly is not. However, we can define the flow over a subset of the interfaces." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Replica move history tree" ] }, { "cell_type": "code", "execution_count": 39, "metadata": {}, "outputs": [], "source": [ "import openpathsampling.visualize as vis\n", "from IPython.display import SVG" ] }, { "cell_type": "code", "execution_count": 40, "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/svg+xml": [ "+RFBBFBFBBFBFFRRRBRFBFFFFFFBBFcorstep0121634437274112125131146160168194204215235288289296311344349356413430456459489496" ], "text/plain": [ "" ] }, "execution_count": 40, "metadata": {}, "output_type": "execute_result" } ], "source": [ "tree = vis.PathTree(\n", " storage.steps[0:500],\n", " vis.ReplicaEvolution(replica=2, accepted=True)\n", ")\n", "\n", "SVG(tree.svg())" ] }, { "cell_type": "code", "execution_count": 41, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "We have 6 decorrelated trajectories.\n" ] } ], "source": [ "decorrelated = tree.generator.decorrelated\n", "print(\"We have \" + str(len(decorrelated)) + \" decorrelated trajectories.\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Visualizing trajectories" ] }, { "cell_type": "code", "execution_count": 42, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# we use the %run magic because this isn't in a package\n", "%run ../resources/toy_plot_helpers.py\n", "background = ToyPlot()\n", "background.contour_range = np.arange(-1.5, 1.0, 0.1)\n", "background.add_pes(storage.engines[0].pes)" ] }, { "cell_type": "code", "execution_count": 43, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "xval = paths.FunctionCV(\"xval\", lambda snap : snap.xyz[0][0])\n", "yval = paths.FunctionCV(\"yval\", lambda snap : snap.xyz[0][1])\n", "visualizer = paths.StepVisualizer2D(mstis, xval, yval, [-1.0, 1.0], [-1.0, 1.0])\n", "visualizer.background = background.plot()" ] }, { "cell_type": "code", "execution_count": 44, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "execution_count": 44, "metadata": {}, "output_type": "execute_result" } ], "source": [ "visualizer.draw_samples(list(tree.samples))" ] }, { "cell_type": "code", "execution_count": 45, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# NBVAL_SKIP\n", "# The skip directive tells our test runner not to run this cell\n", "import time\n", "max_step = 10\n", "for step in storage.steps[0:max_step]:\n", " visualizer.draw_ipynb(step)\n", " time.sleep(0.1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Histogramming data (TODO)" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "anaconda-cloud": {}, "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": "3.7.3" }, "toc": { "base_numbering": 1, "nav_menu": {}, "number_sections": true, "sideBar": true, "skip_h1_title": true, "title_cell": "Table of Contents", "title_sidebar": "Contents", "toc_cell": false, "toc_position": {}, "toc_section_display": true, "toc_window_display": false }, "varInspector": { "cols": { "lenName": 16, "lenType": 16, "lenVar": 40 }, "kernels_config": { "python": { "delete_cmd_postfix": "", "delete_cmd_prefix": "del ", "library": "var_list.py", "varRefreshCmd": "print(var_dic_list())" }, "r": { "delete_cmd_postfix": ") ", "delete_cmd_prefix": "rm(", "library": "var_list.r", "varRefreshCmd": "cat(var_dic_list()) " } }, "types_to_exclude": [ "module", "function", "builtin_function_or_method", "instance", "_Feature" ], "window_display": false } }, "nbformat": 4, "nbformat_minor": 1 }