{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Structure Evolution of Ising Model\n", "\n", "In this example we will take a look at the simulated data. Data was obtained using SPPARKS kinetic Monte-Carlo simulator for 2 phase ising model. The model is 2D and the volume fraction of one phase is varied for different simulations. Microstructures are assumed to be periodic.\n", "\n", "### Data loading\n", "\n", "First, we load the data:" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "((201, 100, 100), (201, 100, 100))" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import pymks\n", "from pymks_share import DataManager\n", "import numpy as np\n", "\n", "\n", "manager = DataManager('pymks.me.gatech.edu')\n", "X = manager.fetch_data('2 phase ising model')\n", "Y = manager.fetch_data('Ising 30%')\n", "Z = manager.fetch_data('ising 10%')\n", "R1 = manager.fetch_data('Ising 40%_Run#1')\n", "R2 = manager.fetch_data('Ising 40%_Run#3')\n", "X.shape, R1.shape \n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "`X` refers to 50% volume fraction and the rest of the data has its volume fraction in its name.\n", "\n", "Let's take a look how initial microstructures look like for three different volume fractions (50%, 30%, 10%) using `draw_microstructures`:" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%matplotlib inline\n", "%load_ext autoreload\n", "%autoreload 2\n", "\n", "import matplotlib.pylab as plt\n", "from pymks.tools import draw_microstructures\n", "\n", "\n", "X_con = np.concatenate((X, Y, Z, R1, R2))\n", "draw_microstructures((X_con[::201]))\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And the corresponding final microstructures after simulation (200 Monte-Carlo steps) look like these:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "draw_microstructures((X_con[200::201]))\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "So, this is a microstructure evolution problem, and final microstructures look very similar to each other (just looking at them). Can we check it using PyMKS tools? We have 200 files (microstructure outputs) for each simulation at every fixed Monte-Carlo step, so we can also take a look at path each simulation takes.\n", "\n", "### Microstructure Statistics \n", "\n", "To get started, we are going to perform 2-point statistics first for couple of microstructures using `correlate` from `pymks.stats` :" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The correlations can be plotted using `draw_autocorrelations` from `pymks.tools`. Here 10th step is plotted since initial is completely random microstructure and its statistics does not look exciting. So, we are going to take a look at 10th Monte-Carlo step output. " ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "(201, 100, 100, 2)" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from pymks import PrimitiveBasis\n", "from pymks.stats import correlate\n", "from pymks.tools import draw_autocorrelations\n", "\n", "\n", "p_basis = PrimitiveBasis(n_states=2,domain=[1, 2])\n", "X_auto = correlate(X, p_basis, periodic_axes=(0, 1), correlations=[(0, 0),(1, 1)])\n", "\n", "X_auto.shape\n" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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5BSkxKoKqC845Xt52RohURGVyOIvL02arXPYVKyXBMcCod7gBf/S9ZJlpRG1H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\nJx0Gfl0ZYa6krFFcolOtX5BksOrdMEe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kphnWnc6uojfOrDOnlg1hJGmQAvuX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\nW7zAaydj8fro4jSxl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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Volume fraction of black phase 0.6099\n", "Volume fraction of white phase 0.3901\n" ] } ], "source": [ "correlations = [('black', 'black'), ('white', 'white')]\n", "draw_autocorrelations(X_auto[10], autocorrelations=correlations)\n", "\n", "center = (X_auto.shape[2]) / 2\n", "print 'Volume fraction of black phase', X_auto[0, center, center, 0]\n", "print 'Volume fraction of white phase', X_auto[0, center, center, 1]\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's also plot 2-point statistics of the final microstructure for the same simulation. They do not look much interesting since it's mostly has black state:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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eAnVh1bMPPvNAD6ruZB0L9sZc40Gg8XGNMTnsGwU5kz9ltH7hMbEuvbML5YFv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\n8LFWpS+Nj1lsF1bn5PbiSoLJz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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Volume fraction of black phase 0.9542\n", "Volume fraction of white phase 0.0458\n" ] } ], "source": [ "draw_autocorrelations(X_auto[200], autocorrelations=correlations)\n", "print 'Volume fraction of black phase', X_auto[200, center, center, 0]\n", "print 'Volume fraction of white phase', X_auto[200, center, center, 1]\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Reduced-order representations (PCA)\n", "\n", "Using `MKSStructureAnalysis` we can perform 2-points statistics and dimentionality reduction (PCA) right after. So we are not going to use whatever we have done in the previous section, it was just to show how 2-point statistics look like for our data.\n", "So, total we have 5 simulations and they already have been concatenated into X_con." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "(1005, 5)" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from pymks import MKSStructureAnalysis\n", "\n", "analyzer = MKSStructureAnalysis(basis=p_basis, periodic_axes=[0,1])\n", "XY_PCA=analyzer.fit_transform(X_con)\n", "XY_PCA.shape\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "R1 and R2 are two different simulation results with the same initial microstructure, but different seeds for random number generation for Monte-Carlo simulations. The hope is to see that the same initial microstructure will take two different paths and will end up in quite the same spot. Let's check it!\n", "\n", "So let's take a look at PCA plot:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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QQgghOsGCZ5bzxoUy5Qa//E4tb1woY8Ezy7tVm/VptVoiIyN5/fXXefHFFxk+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bKxL0IWIk9janO8aN2morXgzeS2tsnEMIDQUoOXfjX41ILdjzk/8qhzMRHrGIqVSilIsGRpcNvI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\nKpUKW7duxaJFiwKO6w+z2cxejxqNBg0NDey25uZmX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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from pymks.tools import draw_components_scatter\n", "\n", "\n", "draw_components_scatter([XY_PCA[0:201, :3], XY_PCA[201:402, :3], XY_PCA[402:603, :3],\n", " XY_PCA[603:804, :3], XY_PCA[804:1005, :3]],\n", " ['ising 50%', 'ising 30%', 'ising 10%',\n", " 'ising 40% run#1', 'ising 40% run#2'], \n", " view_angles=(30, 100), legend_outside=True, fig_size=(10,8))\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Looks cool but not clear! Now, let's plot only initial and final structures." ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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SU1Px9/dv13vuSSRgEN2adfk2CRiEEEKIzjd48GCOHj3KzZs3UavVeHl5ERMT\ng7Ozc7vaHTJkCDNmzCA1NZUjR47g5+dHdHQ0a9asUao1N8TLy4vMzExOnDhBeXk5Li4uPPTQQ0ye\nPNmmT25ubsTExJCUlMTHH3+Mk5MT0dHRjBo1ql6bubm5ZGZm8sorr9hsnz9/Phs3biQuLo6AgAAm\nT57crvfck0ilZ9Gt2dnZUV1djdlsvttdEUII0c1Jped7S0pKCrt372blypVotfIM+26TSs/inqTR\naJocphRCCCHEvaGkpITdu3fj5+eHnZ0d2dnZ7Nmzh8jISAkW7gHyHRLdlkajaf4gIYQQQnR7Wq2W\ngoICjh07hslkwsnJiXHjxkl15XuEBAyiW7Kzs7vbXRBCCCFEB9Hr9SxatOhud0O0kSyrKrodtVot\nU5GEEEIIIboJCRhEtyNzGYUQQgghug8JGES30lDegow2CCGEEELcPRIwiG5DpVJJorMQQgghRDcj\nAYPoNhqbiiRF24QQQggh7h4JGES30Fiis8VikYBBCCGEEOIukuxS0S00NLpgsViorq5GpVJJ0CCE\nEEJ0gg0bNnD16lWWLl3aouN37NhBWloab731Vif37Cc7d+4kOzubnJwcysvLefXVV+nTp0+94y5c\nuMCWLVvIz8/HycmJRx99lLFjxyr7q6urSUhI4OTJkzg7OzN37lwGDx5ss//tt99m2rRpDBkypCve\n2j1DRhjEXadWqzGbzfW2W0cXJOlZCCGE6ByTJ0/ml7/8ZYuPj4yMJCYmphN7VN+hQ4ewWCz4+fk1\nekxhYSGrV6/Gzc2NRYsWMXr0aJKSkjh8+LByzOHDh8nKymLBggX4+/uzdu1am/uP/fv34+LiIsFC\nA2SEQdxVKpWqwREE6+iCJEELIYQQncfV1bVVxzs7O+Ps7NxJvWnY66+/DsAPP/xARkZGg8ekpqbi\n7OzM/PnzUavV+Pn5cevWLXbu3ElERAQAZ8+eJSoqiuDgYAIDAzl8+DAFBQX079+fkpISdu3axZIl\nS7rqbd1TJGAQd5VWq21wdMFsNqNSqRodfRBCCCHuBTm5ubz7yWdcL6nA3aAj9pmn8fH27jZtrl+/\nnqtXr7Js2TIATCYTW7ZsITMzE6PRiMFgIDAwkLlz5wKQnJxMWloaK1asAOD8+fN88MEHLF68mLS0\nNDIzMzEYDIwfP56oqCiba+3fv5/U1FSMRiOBgYFERUXx0UcfsWTJEnx9fdvxiUBWVhZhYWGo1T9N\nnhk+fDgrSUguAAAgAElEQVQHDhzgypUreHp6Ul1djU6nA2pmN2i1WqqrqwHYvn07w4cPx9PTs139\n6KlkSpK4a5pKdDabzcrogkxJEkIIcS/Kyc3lN8vf45DzeC488BSHnMfzm+XvkZOb223atI70WyUm\nJnLx4kWmT59OTEwM06ZNs9lf93ir+Ph4vLy8+O1vf4ufnx8JCQnk5OQo+9PT09m8eTOhoaH89re/\nxdPTk02bNrWpz3VVVFRQVFREv379bLZ7eHgAUFBQAIC3tzdHjx7lzp07fPvtt5jNZtzd3cnPzyc9\nPZ2pU6d2SH96IgkYxF3TVKJzY8GEEEIIca9495PPKAmdhVqnB0Ct01MSOot3P/msW7VZW25uLlFR\nUQwbNgxfX1/CwsKYM2dOs+eFhYUxadIk/P39mT17Ng4ODqSnpyv7d+/eTXBwMDNnziQgIICpU6cS\nHBzcIX02mUwA2Nvb22y3vjYajQCMGTMGs9nMq6++yj//+U9mzpyJTqcjMTGRSZMm4eDg0CH96Ylk\nSpK4K5qquWCxWCR3QYh2kJXFhOgerpdUoHbX22xT6/RcL6noVm3W5uXlxZ49e1CpVAQEBODu7t6i\n8wICApSvNRoN7u7uFBUVATXTjC9fvszs2bNtznn44Yc5cOBAh/S7Jezt7Vm2bBmFhYUYDAb0ej3f\nf/89xcXFjBkzhitXrhAfH8/169fx9/dn3rx59OrVq8v6153JCIPoctbchNqvrYGCNdFZRheEaDsJ\nFrqPlStXNpqkKXo+d4MOc0WZzTZzRRnuBl23arO2WbNmERoaSkpKCitXrmTFihUcP3682fN69+5t\n81qj0VBVVQVAaWkpFoul3hN8g8HQIX22Xts60mBlHVmoO/Lg5uaGXq+nqqqKL7/8kujoaNRqNevX\nr2fo0KG89tprVFVVsXPnzg7pX08gAYPoco2NLtROdBZCiJ7g9u3b8oTyPhb7zNMYTn2h3OCbK8ow\nnPqC2Gee7lZt1qbX65kxYwZvvPEGL774IoMGDWLdunVcu3atzW06ODigUqkoLS212V5SUtLe7gKg\n0+lwcXFRchWsrK/r5jZY7d27l379+hEUFERZWRl5eXk88sgj6HQ6IiIiOHfuXIf0ryeQOzPRpRob\nPaib6FyXjDgIIe5FRqOx3tNNcf/w8fbmH2++QOTtr3nw4hYib3/NP958oV2rJHVGm43x9PTkySef\nxGKxtCtgUKvVDBw4kFOnTtls78jRt6CgINLT021GWI8fP46Li0uDKx8VFxezZ88eoqOjbbZXVNRM\n7SovL++wvvUEksMgulRDAYH1H7ckOgshehqTyVRvqoa4v/h4e/PuG690+zatVq1aRWhoKJ6enqhU\nKg4ePIhOp2PQoEHtanfixInExcWRkJBASEgIFy5c4PTp00DzDwWzs7MpKSlRVl06ffo0BoMBDw8P\n+vfvD8CECRP47rvvWLduHREREeTk5HDo0KFGE7a/+uorwsPDldEHvV6Pl5cXSUlJjBw5ktTUVPz9\n/dv1nnsSCRhEl2kq0RmQqUhCiB5HAgZxrxk8eDBHjx7l5s2bqNVqvLy8iImJaXextiFDhjBjxgxS\nU1M5cuQIfn5+REdHs2bNGvR6fZPnJicnk52drbz+4osvgJoq1VOmTAFq8hJiYmJISkri448/xsnJ\niejoaEaNGlWvvdzcXDIzM3nlFduga/78+WzcuJG4uDgCAgKYPHlyu95zT6KyNJEdl5+f35V9ET2Y\nSqXCzs6u3naLxaIkRTW0v/YxksgphLjXzJo1i88//1xGT7vIgAEDuvR65eXl3Lhxo0uv2ZOkpKSw\ne/duVq5c2ehDRdF1XF1dG825ku+O6BLWlZDq/tG0Jjo3d64QQtyLGvq9J8T9qKSkhN27d+Pn54ed\nnR3Z2dns2bOHyMhICRbuAfIdEp1Oo9FgNpvrba+d6GwtzS6EEPebxMREcnNz8fb2Zvr06cr227dv\ns27dOqqqqpg6dSr+/v6Ul5fz6aefYjKZiIyMZOTIkXex50K0nFarpaCggGPHjmEymXBycmLcuHFS\nXfkeIQGD6HQajUaps2B90iY1F4QQAi5fvkxFRQXPP/88n3/+uRI4AKSmpvLEE08wYMAAPv74Y/z9\n/Tl06BAjRoxgxIgRvP/++4wYMUIKXYp7gl6vZ9GiRXe7G6KNJMtUdKqm8hJAphsJIe5vly5dUirk\n+vv7c+nSJWXflStXGDx4MDqdDr1eT1lZmXK8SqXCy8ur3rrzQgjRGWSEQXQaaxG2usnKdUcXJJlZ\nCNGTJCcnc+LECXr37o2vry9r166ld+/eyn99+vQhLCwMqFlFyc3NDaipVlt7rfvaUzn1ej0mkwmT\nyaSsKGPdJoQQnU0CBtFptFptg8GA2WxGrVbLMqpCiB5p7NixDB8+nJKSEv73f/+XkJAQ5WbfaDTa\n5Gz17t2bsrKair1lZWU2S7DW/h1ZVlaGvb29crzBYKh3vBBCdBYJGESnaK6is6yIIIToqRwcHHBw\ncKCkpASj0aiMJjRk8ODBHDx4kGHDhnH27FnCw8OVfZ6enly6dAlPT0/Ky8vp1asXgwcP5uzZswwb\nNoy8vDyl6JQQQnQmecQrOkVjFZ2bSnSWqUlCiJ7EaDRib2/f5DEDBw5Eq9WyatUq1Go1Pj4+JCQk\nADWVa7dt28bf/vY3Jk6cCEBERATfffcdf/3rXxk1apQkPAshuoQUbhMdzs7Orl5AUF1drQQEDQUM\nlZWVaLXaRpOgKysrJaAQQtxTLl26xKpVq3jnnXfudlfuG1K4TYi2a6pwm4wwiA6lVqsbHT2wWCyy\njKoQ4r5hMpkkx0AI0SPIRHLRoRrLTZBlVIUQ95uWTEkS4m7bsGEDV69eZenSpS06fseOHaSlpfHW\nW291cs8a9ve//52MjAxmzpxJVFSUzb4LFy6wZcsW8vPzcXJy4tFHH2Xs2LHK/urqahISEjh58iTO\nzs7MnTuXwYMH2+x/++23mTZtGkOGDOmqt9QqK1as4KmnniIkJITExESqqqqYPXu2zTE7d+4kOzub\nnJwcysvLefXVV+nTp0+7risBg+gwjc2llWBBCNGd5OTm8E7ch1w3FeHe24WlC3+Pj7dPh1/HZDJJ\nwCC6vcmTJ1NZWdni4yMjIwkJCenEHjUuKyuLH3/8scF9hYWFrF69mpCQEKZNm0ZOTg5JSUnodDoi\nIiIAOHz4MFlZWSxYsIAzZ86wdu1ali9frqxItn//flxcXLptsFBeXk5hYSFeXl5ATeHHESNG1Dvu\n0KFDuLu74+fnR0ZGRodcW6YkiQ7RWDBgTXRWqVTtChgk2BBCdISc3Bx+/cdY9gff4uxoDfuDb/Hr\nP8aSk5vT4dcyGo0yJUl0e66urvTv37/Fxzs7OzNw4MBO7FHDqqurSUxM5Iknnmhwf2pqKs7Ozsyf\nPx8/Pz9+9rOfMXr0aHbu3Kkcc/bsWaKioggODuapp57CaDQqxQ9LSkrYtWsX06dPb3MfWxN4tcWV\nK1eUWi4AeXl5SvBQ2+uvv87ixYuVQKkjyAiD6BAajcamyJCVJCoLIbqTd+I+5PYEN9S9av78qXtp\nuT3BjXfiPuS9V//UodeSHAYBkJuTwz/feQfz9euo3d2Zs3Qp3j7tG9HqyDbXr1/P1atXWbZsGVDz\nc7tlyxYyMzMxGo0YDAYCAwOZO3cuUFOYMC0tjRUrVgBw/vx5PvjgAxYvXkxaWhqZmZkYDAbGjx9f\nb8rQ/v37SU1NxWg0EhgYSFRUFB999BFLlizB19e3yX7u27cPnU5HeHg4mzZtqrc/KyuLsLAwm/ol\nw4cP58CBA1y5cgVPT0+qq6vR6XRATc6lVqtV6qJs376d4cOH4+np2aLP7ebNm7z55pssWLCArKws\nMjIy8PHx4Xe/+x2xsbH1pkzV/dyOHDnCpk2bePHFF0lKSuLixYu4uLg0OR2qdoBQWFhIRUVFi/vb\nXhIwiHazJjo3VtHZWsCtoYDCynq+jCQIITrTdVOREiwAVBeW4rrtHLcvV/CXmy90yM2clQQMIjcn\nh3/8eiHLbhdjr1ZjzDrLX9JP8Zs1cW3+OevoNuvOAEhMTOTHH39k+vTpODo6UlRURHZ2dqPHW8XH\nxxMeHs7o0aM5fvw4CQkJ+Pj44PP/9yk9PZ3NmzcTFRVFSEgIFy5caPDGvyHFxcWkpKSwaNGiBq9d\nUVFBUVFRvbokHh4eABQUFODp6Ym3tzdHjx5l6NChZGZmYjabcXd3Jz8/n/T0dF5++eUW9ae2rVu3\nMmTIEBYuXNjkPUzdz8369WeffUZkZCQTJkzgm2++4dNPP2X58uU4OzsDPwUmtcXGxipfv/TSSwAt\nCrraQwIG0W7NVXRuKJgQQoi7wb23C1nlt1D30lJdWErY347zblWvmhuv/QfafTNXm9FolMJq97l/\nvvOOcmMPYK9Ws+x2MavfeYdl773XbdqsLTc3l6ioKIYNG6Zsa6r4YO1jJk2aBICvry8ZGRmkp6cr\nAcPu3bsJDg5m5syZAAQEBFBaWsqBAweabXvr1q0EBQXx4IMPNrjfZDIB1MsZsr42Go0AjBkzhoyM\nDF599VU0Gg3z5s1Dp9ORmJjIpEmTcHBwaLYvdQ0ePFh5T20xbtw4pWDjwIEDWb58OT/88AOjR48G\naqaA/eEPfwBg9erVTJw4EV9fX1JSUlCpVMpn7ubm1uY+tIQEDKJdGlsVyWw2S0VnIUS3s3Th70n/\nYyy3J7jhuu2cEixAx994ySpJwnz9uvLzZWWvVmO+Xtit2qzNy8uLPXv2oFKpCAgIwN3dvUXnBQQE\nKF9rNBrc3d0pKiqq6bPZzOXLl+ut5vPwww83GzBcvHiR9PR0XnnllVa+k/rs7e1ZtmwZhYWFGAwG\n9Ho933//PcXFxYwZM4YrV64QHx/P9evX8ff3Z968eY3WJbAKCgpqV59qf24ODg7KqI6VRqNhwIAB\nGI1GiouLGTZsGI6Ojty6dYtHHnmky2qPSNKzaDOVSmUzV9DKOv2oo2ouWGs4CCFEe/l4+/DHX/2B\noM8uMOjMrU698ZIpSULt7o6xznRco9mM2r3tT4M7o83aZs2aRWhoKCkpKaxcuZIVK1Zw/PjxZs+r\n+7Ou0WioqqoCoLS0FIvFUu8JvsFgaLbdpKQkRo8eTa9evTCZTMpoQWVlJWVlZTbXto40WFmPrRu4\nu7m5odfrqaqq4ssvvyQ6Ohq1Ws369esZOnQor732GlVVVTYJ041xdHRs9pimNPW5wU8PYK05Dg4O\nDlRUVJCfn4+3t3eT0707kjz+FW3WVTUXJFgQQnSUy7k57PnrH9n0L/1413gb402zTdDQkTdeMsIg\n5ixdyl/ST/2Ub2A28xdnJ37TwpoHXdVmbXq9nhkzZjBjxgyuXLlCamoq69atw8vLS8kJaC0HBwdU\nKhWlpaU220tKSpo9t6CggJycHPbt22ezfevWrXz11Vf85S9/QafT4eLioqx4VPtcoNGpgXv37qVf\nv34EBQVRVlZGXl4ezz//vLIU644dO5rtX0P3Olqt1uamH34KXlrLmoze0Os///nPAPziF79QpjV1\nFgkYRJs0VdHZmujcUaML1mVZJXAQQrTXF6vfZ3mAAQc7DU//iw/v7jxDrFnfKTdeUodBePv48Js1\ncax+5x3M1wtRu7vxm3Ym1ndGm43x9PTkySef5LvvvuPatWttDhjUajUDBw7k1KlTREZGKttbUiNg\n0aJF9Z6iv//++4wdO5ahQ4cq24KCgkhPT+fxxx9X7j+OHz+Oi4tLgysJFRcXs2fPHl544QWb7RUV\nFeh0OsrLy1v1Hmtzdnbm2rVrymuLxcK5c+fa1Ja1oN7GjRsJDQ0lJCSEI0eOUFBQwJNPPonFYsHV\n1bXNfW0pCRhEmzQ2ulBdXd1oMNEW1sRpIYToCJY7t3Aw1BSZHORsz3OTA4g7lsO529UMGhPVoTde\nUodBQM0NfkfkxHR2m1arVq0iNDQUT09PVCoVBw8eRKfTMWjQoHa1O3HiROLi4khISFBWSTp9+jTQ\n9IyEBx54oMHt7u7uNknQEyZM4LvvvmPdunVERESQk5PDoUOHmDNnToPnf/XVV4SHhyujD3q9Hi8v\nL5KSkhg5ciSpqan4+/u36b0OGTKEtLQ0vLy8cHV15fDhw8r0qdby9vamoqKCgoICRo4ciZubG9u2\nbSM0NLTRehjZ2dmUlJSQk1NTX+b06dMYDAY8PDxaVXOjNgkYRKs1FCxY/7FbLJYGKz43N0LQ2LKs\n1sTprpqjJ4To2VSOfTh9M5v/yy6nAHv6Uca/D/fmc50vL7z15w69lowwiHvR4MGDOXr0KDdv3kSt\nVuPl5UVMTIyyzGdbDRkyhBkzZpCamsqRI0fw8/MjOjqaNWvWoNfr291vNzc3YmJiSEpK4uOPP8bJ\nyYno6GhGjRpV79jc3FwyMzPrJVLPnz+fjRs3EhcXR0BAAJMnT25TXyZPnkxJSQnJycloNBrGjBmD\np6cnaWlpzZ7bUPB0/vx5HB0dcXNzo6qqigsXLjRZYC45OdlmKdwvvvhC6deUKVPa8I5AZWniLi4/\nP79NjYqeS6VSYWdnV2+7xWKhqqoKtVrdYMBg3d/QuYBSOMV6bu2pSBqNhurqauUYIYRoqyNHDvP7\n11dhN/E51Do95ooyKnf/lQ9ff55RozquKirAggUL+OSTT2SUoQt11YoxVuXl5dy4caNLr9mTpKSk\nsHv3blauXCmrKnYDrq6uja4KJd8d0SpNLaMKHZvoXHu0Qgq6CSE6wqZte5RgAUCt02M38Tk2bdvT\n4QFDWVlZhzw5FaInKCkpYffu3fj5+WFnZ0d2djZ79uwhMjJSgoV7gHyHRIs1lktQu4pzRyY6d9Sy\nrEIIYXW9pAK1u+1NvFqn53pJRYdfS6rXC/ETrVZLQUEBx44dw2Qy4eTkxLhx45g6derd7ppoAQkY\nRIs1NnvNmujcUXkGZrO50RoPQgjRHu4GHecrypQRBgBzRRnuBt1d7JUQPZ9er2fRokV3uxuijSRg\nEC1iTTyu+8TMuk2j0SjTiJp6otaS/Q1ViJandEKIlsjNyWX1X9dQfNOEU9/ePPvcr/H28Vb2xz7z\nNKeWv0dJ6Cwlh8Fw6gti33yhiVbbRn5vCSF6CnmEK5rVVEXnlk4dasl+a3sduSyrEC0lP3P3vtyc\nXF5a/Ce0lx7Go/QRtJce5qXFfyI3J1c5xsfbm3+8+QKRt7/mwYtbiLz9Nf948wV8vL2baFkIIe5v\nMsIgmtVUorNKperwis4NrbIkhBDNWf3XNfjpf4adpmaVDztNL/z0P2P1X9fw1v8sV47z8fbm3Tde\naawZIYQQdcgIg2hSY6MH1qlDHZWYXDtYkCe94m6QSuL3vuKbJiVYsLLT9KL4lqnL+yLLQAshehIJ\nGESTGnva39FTh6w3axIsCCHayqlvbyqry222VVaX49Sn6+sglJWVSf0FIUSPIQGDaFTdImvWPANr\nonNHrWJkTZa2XqMxEkwIIZry7HO/5lxZqhI0VFaXc64slWef+3WX98VoNEqVZyFEjyE5DKJB1kTn\nutM0mpqKZA0oWsuaCyHuTW39vgvR0bx9vPnTBy+x+q9ruHnLhFOf3vzpuZdsVknqKhIwiHvFhg0b\nuHr1KkuXLm3R8Tt27CAtLY233nqrk3vWsL///e9kZGQwc+ZMoqKibPZduHCBLVu2kJ+fj5OTE48+\n+ihjx45V9ldXV5OQkMDJkydxdnZm7ty5DB482Gb/22+/zbRp0xgyZEhXvaVWWbFiBU899RQhISEk\nJiZSVVXF7Nmzlf0FBQXs3buXc+fOcfv2bRwdHXn44YeZOnVqu0Y9JWAQDdJqtY3eBLY10dl6Y1n7\nXGsA0lBwIoQQreXt422T4Hy3mEymFv9xLi8v59NPP8VkMhEZGcnIkSNt9p87d45t27ZhZ2fHggUL\ncHZ2ZsOGDVy7dg2dTkdkZCQjRozojLch7gOTJ0+msrKyxcdHRkYSEhLSiT1qXFZWFj/++GOD+woL\nC1m9ejUhISFMmzaNnJwckpKS0Ol0RETUVHE/fPgwWVlZLFiwgDNnzrB27VqWL1+uzJjYv38/Li4u\n3TZYKC8vp7CwEC8vLwAuX75c79/+mTNnyMnJYezYsQwYMIDCwkK2b9/Ojz/+SGxsbJuvLQGDqKep\nRGeLxYJWq+2Uis5VVVXtblMIIbqD1owwHDp0iBEjRjBixAjef/99RowYYZM/lpKSwu9//3uuXr3K\nrl27mDVrFgBPP/00bm5undJ/cf9wdXVt1fHOzs44Ozt3Um8aV11dTWJiIk888QSbNm2qtz81NRVn\nZ2fmz5+PWq3Gz8+PW7dusXPnTiVgOHv2LFFRUQQHBxMYGMjhw4cpKCigf//+lJSUsGvXLpYsWdLm\nPlZWVtabzt2Rrly5Qu/evenTpw8AeXl5/PznP7c5JiwsjDFjxiivfX19cXFx4W9/+xvZ2dn4+vq2\n6doSMIh6Gkt07ujE5Na0J1OWui8ZGRKiPpPJ1OKA4dKlS8yaNQuVSoWXlxcFBQV4enoCUFFRgZ2d\nHTqdDh8fH7788kvlvPXr1+Pg4MDMmTOVGwjR/TRXTPBut7l+/XquXr3KsmXLgJqf3S1btpCZmYnR\naMRgMBAYGMjcuXMBSE5OJi0tjRUrVgBw/vx5PvjgAxYvXkxaWhqZmZkYDAbGjx9fb8rQ/v37SU1N\nxWg0EhgYSFRUFB999BFLlixp9kZ237596HQ6wsPDGwwYsrKyCAsLs8mvHD58OAcOHODKlSt4enpS\nXV2NTldT1V2tVqPVapUVzbZv387w4cOVf3vNuXnzJm+++SYLFiwgKyuLjIwMfHx8+N3vfkdsbGy9\nKVN1P7cjR46wadMmXnzxRZKSkrh48SIuLi5NTofKy8tTRhcKCwupqKio19+Gfu9Yz7l9+3aL3ltD\nJGAQNhqLjM1mM9CxwULt0QW56RRC9AQffvgh5eXlaLVabt++zRdffEHv3r2V/wYPHlzvD7zJZEKv\n1wOg1+sxmUwN7oOffhdHR0djb2/PhQsXSEpKYuHChV3w7kRrWYsJ+ul/hoemF5XF5by0+E/86YO2\n59Z0dJt1pxknJiby448/Mn36dBwdHSkqKiI7O7vR463i4+MJDw9n9OjRHD9+nISEBHx8fPDx8QEg\nPT2dzZs3ExUVRUhICBcuXGjwxr8hxcXFpKSksGjRogavXVFRQVFREf369bPZ7uHhAaAE4d7e3hw9\nepShQ4eSmZmJ2WzG3d2d/Px80tPTefnll1vUn9q2bt3KkCFDWLhwYbMLt9Teb/36s88+IzIykgkT\nJvDNN9/w6aefsnz5cmUUxxqY1FZ7atFLL70E0GTQdenSJYB6n09rSMAgFA3lGMBPN/cd+ZTfmujc\nUSstCSFEdzBz5kxKS0s5efIkVVVVeHh4YDQaKS4u5vLly3zzzTcYDAbleIPBQO/evSkrK8NgMNRb\njtW6z8r6O9P6FPHBBx/kq6++6qJ3J1qrpcUE73abteXm5hIVFcWwYcOUbWFhYc2eFxYWxqRJk4Ca\naTAZGRmkp6crAcPu3bsJDg5m5syZAAQEBFBaWsqBAweabXvr1q0EBQXx4IMPNrjfGmTXfbpufW00\nGgEYM2YMGRkZvPrqq2g0GubNm4dOpyMxMZFJkybh4ODQbF/qGjx4sPKe2mLcuHGEh4cDMHDgQJYv\nX84PP/zA6NGjgZopYH/4wx8AWL16NRMnTsTX15eUlBRUKpXymTc2PbGiooKtW7fy0EMPMXDgwDb3\nUwIGoWgs8bh2ReemRgJUKpXy9Ksp1kTnxipICyHEvcr6RPPo0aN4eXnZzCVuzN69ezl79izDhg0j\nLy/P5imgTqejsrKS8vJyrl69qrRfVlaGXq/n2rVrUu+hGyu+acKjgWKCN9tRTLAz2qzNy8uLPXv2\noFKpCAgIwN3dvUXnBQQEKF9rNBrc3d0pKioCau4jLl++bLOaD8DDDz/cbMBw8eJF0tPTeeWV9ldn\nt7e3Z9myZRQWFmIwGNDr9Xz//fcUFxczZswYrly5Qnx8PNevX8ff35958+bRq1evJtsMCgpqV59q\nf24ODg7KqI6VRqNhwIAByoOHYcOG4ejoyK1bt3jkkUcYMGBAk+1v3LiR0tJSYmJi2tVPuWMTQNN5\nC9ab+9r1Etqidh2Hjiz6JoQQ3Y3RaGxxQnJERASfffYZ+/fvZ/To0Wg0GvLy8rh8+TKjRo1i0qRJ\nfPTRR9jZ2TF//nygZhqDyWRCpVLVuwkT3YdT395UFpfbVCBvbzHBzmiztlmzZrF9+3ZSUlJISEjA\nzc2NqVOnNrsSV93AVaPRKIuZlJaWYrFY6j3Brz3a1pikpCRGjx5Nr169MJlMyn1IZWWlEjhbr117\nOh/8NLJQd+TB+m+zqqqKL7/8kpkzZ6JWq1m/fj1hYWE88sgjfPbZZ+zcuZMnn3yyyf45Ojo2+x6a\n0tTnBj9NQ7TmODg4OFBRUUF+fj7e3t7KPVVDtm7dSkZGBr///e/p27dvu/opAYNApVKh0WiUxJ/a\nald07og8A2vQ0VSAIoGEEOJe15pVkvR6Pc8884zNNi8vLyVR0d/fH39/f5v9dY8X3dOzz/1ayTew\n0/RSign+6bmXulWbten1embMmMGMGTO4cuUKqamprFu3Di8vL2WEq7UcHBxQqVSUlpbabC8pKWn2\n3IKCAnJycti3b5/N9q1bt/LVV1/xl7/8BZ1Oh4uLCwUFBfXOhcbn7u/du5d+/foRFBREWVkZeXl5\nPP/888pSrDt27Gi2fw3ds2i12norP1qDl9ayJqM39PrPf/4zAL/4xS+UaU1We/fuZe/evfzqV7/i\ngQceaNO1a5OAQShTg+pOKbJWdG7s5r61agcLDRV9E0KInqI1dRhEz9UZxQS7skChp6cnTz75JN99\n9x3Xrl1rc8CgVqsZOHAgp06dIjIyUtmekZHR7LmLFi2qN935/fffZ+zYsQwdOlTZFhQURHp6Oo8/\n/r/CXkAAACAASURBVLhyT3H8+HFcXFwaXPmouLiYPXv28MILL9hsr6ioQKfTUV5e3qr3WJuzszPX\nrl1TXlssFs6dO9emtqwF9TZu3EhoaCghISEcOXKEgoICnnzySSwWS72lcY8dO8aWLVuYPn26zWfU\nHhIw3OcamxpUdxUj6LiKvpLoLITo6aTSs7DqjGKCnVmgcNWqVYSGhuLp6YlKpeLgwYPodDoGDRrU\nrnYnTpxIXFwcCQkJyipJp0+fBpp+aNjY03F3d3ebJOgJEybw3XffsW7dOiIiIsjJyeHQoUPMmTOn\nwfO/+uorwsPDldEHvV6Pl5cXSUlJjBw5ktTU1Hojey01ZMgQ0tLS8PLywtXVlcOHD9ssXtAa3t7e\nVFRUUFBQwMiRI3Fzc2Pbtm2EhoY2mMR8/vx5Nm7cSGBgID4+PsoKSQAuLi64uLi0qR8SMNznGks8\nrp3o3BGsowsykiCEuB+0pg6DEN3J4MGDOXr0KDdv3kStVuPl5UVMTEy7i7UNGTKEGTNmkJqaypEj\nR/Dz8yM6Opo1a9bYLB3cVm5ubsTExJCUlMTHH3+Mk5MT0dHRjBo1qt6xubm5ZGZm1kuknj9/Phs3\nbiQuLo6AgAAmT57cpr5MnjyZkpISkpOT0Wg0jBkzBk9PT9LS0po9t6H7pPPnz+Po6IibmxtVVVVc\nuHCB6dOnN3j++fPnMZvNZGVlkZWVVa9fU6ZMadN7UlmaeGScn5/fpkbFvUGr1do87TebzZjNZiXh\npm5FZ4vFQlVVVaO1GpraX1VVhcViQa1WNzrFqbKysskq0pWVlVKvQQhxT/j3f/93/uM//gNv746f\nJiIa19yKMR2tvLycGzdudOk1e5KUlBR2797NypUrZeXEbsDV1bXRVaHku3OfaqoGQu1E545gzYWQ\nAm1CiPuFTEkSwlZJSQm7d+/Gz88POzs7srOz2bNnD5GRkRIs3APkO3Sfauwfp/WGviMTna2jFkCL\n6jQIIcS9rqysTAIGIWrRarUUFBRw7NgxTCYTTk5OjBs3jqlTp97trokWkIDhPtTc6EFDqxi1lTUA\nacnoQmOVpuvuF0KI7s5kMjVb8EmI+4ler2fRokV3uxuijWS5mvtQc6MLTd2w1z6uOQ2ttNRW7S0a\nJ4QQXcmasyWEED2B/Da7zzQVLFinC3XEzT107EpLEiwIIYQQQtwdEjDcR5q6ca+urm73jX3dFZVq\n5y60h3WkQggh7hWyhLQQoieRgOE+olarG0w6tq5i1FHD59Yb/I5aaamja0IIIYQQQoiWk6Tn+4Q1\nj6Du1J7aeQZqtZrq6up2F1iz5hvUHV1oS9KydaRCq9XKKIMQQohuRaPR4Orqere7IUSHaGpWiAQM\n9wmNRtPo6EJHP723TkXqiDZrj1TICIMQ4l4gy0ffP7RardQQEPcFmZJ0H2gu0bk1N/ctXR61LdOb\n6rbd0VOlhBCiK5SVldG7d+8uv64sDiGE6CxyJ9bDdWVFZ+sfq464wW9LMCOEEN2B0Wi8KwGD/K4U\nQnQWGUfr4WqPLtR+gm99et9RFZ2BDs0xsOZByB9AIcS9xmg0dnmV5/z8fAoKCvj/2Lvz6CiuO2/4\n31K3ltaC0MYitAAywmN4MIhNEPCaEGITLyxx4sTGTvxkkhmbk5n4vJMzzrzPZJLMZCZzkjwc/Do5\ndhID40wSsLF9Ehth44DBCGwHmxgbW2CQkRAIS0Jo6epu9fL+wdx2qdVLVVd116Lv5xwdG1VX1S31\ndn/1u797a2pqUFlZifPnz+Py5csoKytDVVUVM7VEpAsDBgdLdHc+2YJqqVZbTkQEIEYwcsE3IqJs\nk2U5qwHDmTNncPDgQbS3t2PKlClYunQp/vznP+PkyZMIhULYsGEDFi1alLX2EJHzMGBwsETZA6ML\nnZUd/GTFfsqVopOdW7Qv9o4YgwcisoNsD0lqaWlBQ0MDbrzxRjz66KMoLS3FV77yFeTm5uLAgQM4\ncOAA6uvrUVVVlbU2EZGzMEfpULm5uQm36akNiFf0bPSKzkYt+EZEZIZsZxg+/vhjzJkzBzU1NQCA\nJUuWIDc3F8FgECtXroQsy/D7/QBYGE1E6WHA4ECpZikyOrtgVHGyCEaMLMQmIsq2bGcYIpEIgsEg\nAODqq69GaWkpgE8moPD5fNGbSPxsJaJ0cEiSA7nd7rh3kYycxUgIh8OGdfBTtY9fdERkB9kuer72\n2mujWdmNGzdGf5+Tk4Pe3l4UFRWZMmsTETkHAwaHSVXoDBjX8Vauwiyks5qz8lhGto+IyAyyLGe1\ng/7pT3864TDO3t5e3HjjjSgqKspae4jIeRgwOEyiu/OizkDNomtqOvxGz2TEcbVE5BSyLKO8vDxr\n50sWDDQ2NmatHUTkXKxhcJBEsxRlopA43XUS4gUkIvhg7QIROYEZ6zAQEWUSMwwOITrb8QIGIzvj\nkiRFhzYZlV1QzrLETAMR2Z2WWZL8fj+2bdsGWZaxbNkyLF68eNT2nTt34u2338aaNWvQ3NwMADh/\n/jx27NgBANiwYQOmTp1q7AUQEcVghsEhlHUESmJBNTFUyahOeaqZmNTSmv1gBoKIrE7LLEmtra1o\namrCQw89hMOHD0dvyAif/exncdttt4363YsvvoiNGzdi48aN+OMf/wjgymep1+uNe45k6+MQEanB\ngMEBEnW2M7Fisgg2Ep1Ta0CizH4ww0BEduX3+3Hq1Cl0dXVBkqSEs9XFam9vx+zZsyFJEqZNm4aL\nFy+O2l5SUjJmH1mWUVpaitLSUvh8PgBXgpTdu3cDGF0TFggEcOTIET2XRkTEIUl2J0lSyhWdtWQC\nEg1rUh5TPE4vkf3gIm1EZHeDg4N44YUXIMsyvF4vtm7dinA4DI/HA4/Hg8LCQjzwwAOYMGHCqP1k\nWUZBQQEAoKCgALIspzyX8jNaBAderxevv/461q5dO+rzua+vD3/84x+xbNmy6DTYRERaMWCwudih\nSOLLI96Up3oZmdY2csE3IiKzVVZWYtOmTQCAr3/96/jXf/1XTJw4MRpA9PT0YOvWraM67MXFxfB4\nPPD5fCguLobP59M8HWsoFMK2bduiN48OHjyIUCgEj8eD/Px8dHZ2YsqUKYZeKxGNPwwYbCy2kFn5\n/0bPOqScyUhP4KAcdqR1liUGFkRkB6Lo2e12o6SkBCUlJZg8eTLmzJkz5rH79u1DW1sb5s+fj3Pn\nzmHSpEkpj19UVIT+/n5IkoS8vDyMjIzA6/UiGAzizTffhCzLCAQCCAaDmDp1Km699VYAxi7aSUTj\nCwMGG0tV6BxvqE+6dQLKmYz0YnaBiJxMOcwolebmZmzfvh0HDhzA8uXL4XK5cO7cOXR2dmLp0qV4\n6aWXcPToUUQiEQwMDGDVqlVYvXo1tm7dCkmSsH79elRXV8Pr9eK9997DokWLMnx1RDQeSZEkvceu\nrq5stoU0cLvdY+4WRSIRBINBAFeKkuPdTVJOiRpPOBweM5RJHFf8LhgMIjc3V/X+secXL7l4w6mS\nHRsARkZGHFUYzUJvspKzHR346ePb8fFQAFXFefi7/30P6mprzW6W7axfvx47d+7M2vmUn89tbW0A\ngNzcXOTn5yM3Nzc69Gk8qK6uNrsJRI7EDIMNpSpk1jPlabwOrHJ4k96VosWCb8lqK9JZEM6uGCyQ\nVZzt6MBX/+lnGPpf65FTVYBTAR/e+aef4Vff/xaDBotzu93o7+/H/v37cfLkSUQiEQQCAQDAwMAA\nlixZgnXr1rHomYjSxoDBhhJ1tkXn08gvBKNnMhJtjBcQjJcggciKfvr49ivBQt6VoTQ5eQUY+l/r\n8dPHt+On//KPJreOEhFBwDvvvIMTJ05g3bp1qKqqimZzR0ZGotkFBgtElC4GDDaTrJDZyClPAeNr\nDYxuHxEZ5+OhAHKqRo+7z8krwMdDAZNaRFr4fD781V/9FWbNmmV2U4jIgXi7wWZSFTqnomXMfLxs\ngPh/rUNpRPBhVOE0ERmrqjgP4YBv1O/CAR+qivNMahFpMWXKFAwMDOC9997D5cuXMTAwgOHhYciy\nPGb1aCIirZhhsBExpWm8YmexorNRXwxGrxItahdycnI4bp/Igv7uf9+Dd0QNQ14BwgEfit/Zib/7\n/rfMbpqtGLlejRaRSASnT5/G2bNnUVdXh9zcXLhcLvh8PjQ3N2PWrFnjqj6MiIzFgMEmxJ35eJ1t\n5YrORgUMoVBIV/G0kjL4EP8mImupq63Fr77/rdGzJLHgWTO/35/VGYnEZ3RRURFuvPFG5OXlwe/3\nw+fzIRQKRYeVEhHpwYDBJtxud9w7V7ErOougIt27SMohR3pWiVa2QRnQ6Ln7xkCDKLPqamtZ4KyT\n1+tVvQaDUSKRCBoaGtDQ0IBIJAKv14uioqIxj2N2gYjSxYDBBhINC1KuvmxkoTOQvLg6mdh9YgMa\nNfsnCnjMSvUTEanl9XpRWFiY1XNKkoRQKIS33noLZ8+exZkzZ7Bu3TpMmjQJ7e3tqK+vjxtAEBGp\nxaJnG0iUTlbWBailZp0E8TgjGBXQiMCDiMjKZFnOasAgPhffeOMNvPrqqygtLUV/f3+0Hfv27cOF\nCxcAMEtLROljwGBxydZcMLIoWXlMIHnAoHampXQCmkSMzqQQEWWC1+s1ZVXlV199FZ/73Odw8803\no7S0NPpZOTg4yJstRKQbAwYLiy06VnbUlXUBRhHHNEKigEbLtK7KdhkVeBARZVK2MwyCcga6QCCA\nCRMmALjy+Zntmgoich7WMFhYsuxCorqAdDrksccUK4TqCR5EdsGooUhGZlKIiDIl2zUM4kZKc3Mz\nWltbUVRUBK/Xi6GhIbS2tmLy5MmYOHEiABY9E1H6GDBYVDYLnQHjh/wY1ck3uqaCiCiTzBqStGLF\nCpw7dw7PP/883G43Wlpa4PV6cc8996CkpCTr7SEiZ2HAYFHJ5s2ORCK659WOnfbUiGPG0juEKBN1\nGkREmWTWkCQAuOuuu3D58mX09PQgLy8PtVxDg4gMwkHhFpSbm5t0u54OdLxpT7V2ypMNe1JOy5pu\n+zJZp0FElElmrMMgnD17Fr29vcjLy0Nubi66u7tx6dIlU9pCRM7CDIPFiA5yohWdAf137mOPKVaR\nNoKaWZbUSFSnwUwDEVmZLMuYNm1a1s/7+uuvo7W1FcFgED6fL5o5DofD+Od//uest4eInIUBg8W4\n3e64wYIoIk5FkiTVU+gpO+V6ZzLS0kbx2GSd/3A4zGlUich2zBiSFAwGsWvXLtx2221obGxETk4O\nwuEwwuFw9CYOEZEeDBgsRE2hs5HzaRvZKVcObUrWRjXnEoGH2tWhiYiswoyi50AggOLiYixbtiyr\n5yWi8YODwy0kUWc6dopSvat1iiyECBiMoGxjuhkK5bGYXSAiOzIjw5CTk4Pa2lrs27cPH3/8Mfr7\n+zE4OAiv1wu/35/VthCRM/EWrsUp79zn5OQYkl5WrsBsdHbBqGlUWehMRHaU7XUYgCu1Y0NDQ9iz\nZw8+/PBDFBQURGe9Ky0txec+9zlD1sUhovGLAYPFZXKmID0zGSmHHRnVRmUNRKIvNn7hEZGVmTEk\nSZIkzJ07F4sXL0YgEMDIyAgCgQCGh4eRl5eX1bYQkTMxYLCQ2GE8yVZ0TiTVcCDlHfxknfJ0Cqf1\n0jvUiojIbGYMSSosLMR1110HABgeHoYkSWPawJstRKQHAwaLytSKziIQMHIaVa1tFEGNch/l9TJw\nICK7kmXZlHUYOjs78cYbb6C/vx+RSATl5eWYP38+pk+fnvW2EJHzMGCwEGVHWQzPibf6crpjUUU2\nQG9Rspo2aqVcD4IBAxHZlZbPRL/fj23btkGWZSxbtgyLFy8etX3nzp14++23sWbNGjQ3NwMAfvOb\n36C7uxt5eXlobm7GwoUL0dPTgz179mB4eBiLFi2CJEl477338Lvf/Q533303V3wmIt0YMFhQsiJi\nPZkBcQffCKnaqGX6V+WwplTBAtPqROQUra2taGpqQlNTE7Zs2YKmpqZRwcZnP/tZ1NXVjfk8veee\ne1BZWRn9/cmTJxEIBPDQQw9FH9Pc3Iw9e/Zg3759uOeeewydFY+Ixh9+eliQEUXEsR1vseqnEV8Y\nyuldjejAc5E2IrKz4eFhXLp0CT6fT9N+7e3tmD17NiRJwrRp03Dx4sVR20tKSuLu99RTT+GJJ57A\npUuXAFxZuC3RZ7sIKpi5JSI9mGGwEDHER08RcbKF34yY9lQcD0i80JzWYxlVNE1EZIbjx4/jhRde\ngCzLqKmpwXe/+114PB4UFhbC4/GgpqYGa9asGbOfst6hoKAAsiynPNcdd9yBwsJCnD59Gs8//zzu\nv/9+zJgxAydOnMBzzz2HefPmIT8/Hx0dHfjwww+xYMECAMzOEpE+7KVZTKYKnUV9gBpaZlrSK/Z6\nWcNAlD6+f8yxdOlSLF26FACwfv16/OpXv4LX64Usy/B6vQgEAtiyZcuoz+Di4mJ4PB74fD4UFxfD\n5/Opmo5VzH40c+ZM/OEPfwAA1NTUYPny5XjppZdw+vRphMNhDA0N4frrr4/WPnA4EhHpwYDBgpJ9\nsGvtECjv4Cs75VpqDOIdzwhimJTWoml2ioji4/vCXOLvP2HCBEyYMGHUNnGnX2nfvn1oa2vD/Pnz\nce7cOUyaNCnlOXw+HwoKCtDd3R0NMMLhMObOnYu5c+fi7NmzAIC6ujq9l0NEFMWAwUIikciojr0R\njM5YhEIh3R12EbCIYIGpciJyAtGZV6u5uRnbt2/HgQMHsHz5crhcLpw7dw6dnZ1YunQpXnrpJRw9\nehSRSAQDAwNYtWoVtm/fDlmWIUkSNmzYAODKTaazZ8/i1KlT8Pl8yM3NxeDgIBoaGkyZ4pWInEeK\nJOn5dXV1ZbMtBKRclTMUCgFA0rvyygK4UCg0JggJh8NJ6wYikQiCwSByc3Pj/t7lcsU9bqr9ldeQ\nqA4i1b5iO++kEpHV9PX14R/+4R/w+OOPZ+V8YuKJ06dP48UXX4TP58PkyZMhyzLa29uxdOlSrF69\nelyt9lxdXW12E4gciRkGh1KukWBUobPIVuTk5EQDFyu0jYjICrxer6o6BKOEw2G4XC60tLSgtrYW\nt912W3Tb5cuX8fOf/xwNDQ2YM2cOp1UlIl346eFQ4g68ng55vIXkjPjC0VM0zQCDiKxKluVoUXI2\niM/DvLw8zJw5c9S20tJSeDye6GMYLBCRHsww2IyaguVU056mqkGI3cfIaVnVBjJGrfFARJQt2c4w\nCLW1tTh8+DDC4TCqqqqQm5uLU6dOYcKECdG1HILBIKevJqK08dPDofQu/KZkxEJyghjKlCgYYJBA\nRHZlVoYhGAzi7Nmz6O7uRnl5OXw+Hzo7O9HQ0IBXXnkFwJWC7C984QsoKyvLWvuIyDkYMFiM3jvr\nRhcD61lYLfZalMOaWLRMRE7j9XpNCRhmzZqFGTNmAABGRkaiE0vIsoxgMIhwOAxZlpGfn5+1thGR\nszBgcBAxdEjLIm2ppDMta7LVpsWx0g0YGGgQkVWZNSRp1qxZ0f/ncE4iygQGDDaTrLMt7uAb8WUR\nu1ZConaoPZdyZiQ9nX6jFo0jIjJatockCb29vTh69CiGh4cBAG63Ozrt9U033ZRwmmoiIrUYMDiE\nsjBZbYc8WYdfOXzIiEJnZdG0nuwCAwYisiqv14uJEydm/bzPPfccLl26hGnTpkGSJAwPDyMYDMLv\n93N2JCIyBAMGi0k3Q6AsTE61RoKW4xs1jaoRw6TEPOIMGojIimRZxtSpU7N+3uPHj+MnP/lJ1s9L\nROMHbz04gLjzLoYO6bmLL44HICPZBTXitV9cI++WEZFVmTEkKRwOY9GiRfjoo49Y40VEGcMMg00p\nMxHpFCYnI+7gG3E8kflQHiudgMboayQiMpoZRc85OTlobm7Gf/3Xf2HBggWYMGEC8vLykJ+fD4/H\ng8bGxqy2h4iciQGDzcR2mJMVJqdDbZ2AmsXfwuFw2lOyKhl9jUREmWBGhsHv9+ONN95AQUEB3n//\nfQQCAYyMjMDn86GwsBCPPPIIZ04iIt0YMFiMljvvelZgTjTLkbiTr7UtidqnNyugHG7FLzwisrJs\nr8MAAP39/Thy5Ah+8IMfJDw3PzuJSC8OCLcxo4qJlccTnXyrHMvIqWKJiDLJjCFJbrcbCxYsMGX9\nByIaP5hhsBgtU6KGQqHoXNtK6dQIxC6spoc4t95gJlEGRW9RNxFRJpgxJEmSJAwMDOCXv/wlli9f\nDrfbjYKCAuTm5qKwsBClpaVZbQ8RORMDBhsS9QFGFgErF1Yz4liAvjS4UUEHEVG2mJFh8Pv98Pl8\nkGUZTz/9NHJzcxEKheD1etHY2IiNGzdyhjki0o0Bg8WouXMuHmNkoXO6tRCJjgWkDhgSDTUSGQTW\nLhCRnZgxOcOkSZPwjW98AwUFBcjJycHIyAhGRkYgy3J0wgkGC0SkFwMGmzHyzrs4lnLRN0FkMRJJ\ntF0cS3n8ePuqEdsmIiIazeVyoaioCGfPnsXly5eRl5eHiRMnoqqqip+fRGQYBgwWlGyMvpbhPsmK\nhZWdeiOmPo09lp7VmMXwKCPaRETkZH6/H4cPH8af//zn6JSqHo8Hzc3NWLFihdnNIyKHYI/MgpIF\nC2qG+2jJPBi5IFq8RdrSkSoo4hAlIhrvRF3C8ePHcezYMdxwww249tprAQBvvfUWDh48iMLCQjQ1\nNbGGgYh04yeIxSSrYVAOHTJiliCjp1EVNQd6jwMwKCAiUuOjjz7CjBkz0NTUhJycHOTk5GDRokVo\naGhAe3u72c0jIodgwGATRnXIlcczYmE1wahMRSgU4sxIRGQ7Zk31XFpaio8//hi9vb3Rz05ZltHb\n28spVYnIMBySZBNGDh1SSpRdSLXWgXJ7OBweMztIqqJpYGyNhTiOURkUIqJs8fv9yM/Pz9r5xGf3\nggUL0NXVhaeffhozZ85EXl4e3n//fbhcLsyZMwcAM7ZEpB8DBhuI1yFPRXTo431RiOyCeJwe6U5/\nGvvY2AwKAwYishOv16t60Ta/349t27ZBlmUsW7YMixcvHrX98ccfj06L+uUvfxmlpaU4f/48duzY\nAQDYsGEDpk6dCgAoLy/HLbfcgsOHD+PEiRMIhUJobGzEypUrUVJSAoABAxHpx4DB4hKtkaCnQy3u\n/BvxJSKCDyMCD3GcVNfGLz8ishpZllFQUKDqsa2trWhqakJTUxO2bNmCpqamUTeE1q1bh/LycrS1\ntWHfvn24/fbb8eKLL2Ljxo0AgB07duD+++9He3s7qqqqUFFRgVtvvTW6fygUik6QQURkBNYwWFy8\nmYf0rqBs5IwZRiz4ZuTCcURE2XT06FHs378fJ06cwIQJE3DmzBlcuHABg4ODCAaDcfdpb2/H7Nmz\nIUkSpk2bhosXL47aXl5eDgDRImbgSgajtLQUpaWl8Pl8OHbsGN5++22MjIwAuPJZLM732muv4dCh\nQ/D5fJm6bCIaZ5hhsCDlnXaxroFRHWkRLKi5k6+GEYurietlsEBEdhMMBtHb24v+/n6Ew2E899xz\n8Hq90Z9bbrkFn/70p0fto8xGFBQUQJblMccNh8PYs2cP7rrrLgCjs8qRSARHjhzB0qVLUVFRAQCj\nMhRNTU3Yvn07GhoaUFtba0gWmIjGNwYMFmZ0obMyAFHWMaTaJ1EdBJC4aFpLm5hdICK7WrJkCZYs\nWYIjR46gp6cH3/rWt6LbBgYGsHXrVnzwwQfR3xUXF8Pj8cDn86G4uBg+nw8ej2fMcZ977jksWbIk\nGhAoSZKEvr4+VFVVARj9OR0KhVBcXIzLly/rWkCTiEiJAYNFiQ59utOoxmYQRMdcbQCS6jFqFldT\nE5Ao15ZQi4EFEVlNvKLnCRMm4KGHHhrz2H379qGtrQ3z58/HuXPnMGnSpFHbDx8+DEmSsGjRoujv\nioqK0N/fD0mSUFBQgMHBQXi9XgCjJ7IQ3xmyLEdnbeJnJhHpxYDBglLNPJTOcCK9AUi89ukhpl2N\nRCJwu91jtnGWJCKyE6/XGzdTEE9zczO2b9+OAwcOYPny5XC5XDh37hw6OzuxdOlS7Ny5E/X19Xj0\n0UfR0NCA1atXY/Xq1di6dSskScL69etx7Ngx7N+/H5WVlWOyEK2traisrERxcXEmLpWIxiEpkqRn\n1tXVlc220P8Qd9sTBQyRSATBYBC5ubkJjyFmyHC5XNHHu1yu6LHVHGNkZCRu/UQwGIx2+BPVV6Q6\nfigUitZTxAYxqfaNRCLRQj8nYIBEZH87d+7EyMgIvvSlL2XlfIODg9i6dStycnJwzTXXoKysDJIk\nobOzE0eOHMGdd96J+fPnZ6UtVlJdXW12E4gciRkGizKydiGdYT/JjiUyFXqyDEbVQDgBgwUi+xOz\nGGVLSUkJNmzYgL179+LQoUMAAJ/Ph6KionEbLBBR5jBgsCDlVHp6KQudE21XG5iku0hbomMB6Y+t\n5V15IrISr9eLKVOmZPWckydPxt133w2/3w+fzwe3242ioqKstoGIxgcGDDaWrLMvhgwpp1GN3Z5K\n7GrR8RZpS2e6PqNWmSYisgpZllXXMBgtPz8/WuBMRJQJHA9iQUatdGzkIm3xpj9V04541xIKhbju\nAhE5iizLY2ZJIiJyCgYMDqWsETCiY661DiLROUUNhJohRYm2cygSEVmNllmSiIjshgGDBRnZITYq\nuyBqF/QeR80ibakCHC5GRERWwwwDETkZAwYHUq6TYFR2wYhMhcgs6DmOyFAQEVkJMwxE5GQMGCxI\nTYc42ZAeMXxIzzHEdmXhtB5aV5pOdAwjMh1EREZjhoGInIwBg8MYWegsjpeok69lalMj1oKIN0sT\nEZEVMMNARE7GgMGi0u0UGzV8CNC/uJoIKIzIDBi5BgQRkdGSrXdDRGR3DBgsKp1x+kZPo2pEzQHw\nSXZBeRytC69x7QYiIiIiczBgsKB0g4V4NQLpFggbVVicbnZBGVAYUf9AREREROlhwGBTsXfoqmAG\nkAAAIABJREFURUZAZBf0FD2LDrpRw5r0dvSNynQQERERkXYMGBxA7foGahlRoCzapQxi0j0GswtE\nRERE5mHA4ABGdfABbUOI1NQhGLHuglHXRkSUCVwbhoicjr0wmzN6bQKjZlkyYjVmrrtARHYQCASQ\nl5dndjOIiDKGAYNNibv7yTr46cxEZNQibfFmRkr02GTbWLtARFbn9Xq5aBsRORoDBotS09HX28GP\nDSiMqhVQu1K1muMwu0BEVsdF24jI6Rgw2JRyUTWjCp1jC5S1ZihEu4wIPFKtu8CsAxFZhSzLDBiI\nyNEYMNic0YXOWjri8QIKI4qUuUgbkXZ8v5hHlmUOSSIiR2PAYFGpxvaLomKj1kow4lhGFSmLNSDY\nASJSjzP1mIdDkojI6Rgw2JC4i5+KmiFFRq5zEFvonO6QJnZ8iMhOmGEgIqdzm90A0kZ5Fz8UCuk6\nlrJjb9TMSG63vpeUCF6IiOxCyyxJfr8f27ZtgyzLWLZsGRYvXjxq++OPPw5ZluF2u/HlL38ZpaWl\n+M1vfoPu7m7k5eVh2bJlaGpqysRlEBElxIDBZoxaJwH4ZAhDqiFEYnrTZNLJUogMhNhHFF67XK6U\n6zhwuBIRWYWWoufW1lY0NTWhqakJW7ZsQVNT06jP4HXr1qG8vBxtbW3Yt28fbr/9dgDAPffcg8rK\nyoy0n4goFd7KtRGj1kkQUtVBqO2Ux5thSavYwut0hjMREWXThx9+iI6ODvj9fuTl5an6zGpvb8fs\n2bMhSRKmTZuGixcvjtpeXl4O4MqEFsrP1KeeegpPPPEELl26ZOxFEBGpwAyDRcV+8cTWGojtau7+\nJzq+3g65MjNgxDSq6V4LEZEZ9u7di4GBAQwODmJoaAiHDh1CYWEhPB4PCgsL8eUvfxmTJk0atY8s\nyygoKAAAFBQUQJblMccNh8PYs2cP7rrrLgDAHXfcgcLCQpw+fRrPPvss7r///sxfHBGRAgMGmxAd\napG6Vlv0nGhojwg+RHZAb2dfz8xIIhjSOq0rEZGZvv71rwMAfvazn+Hmm2/G8uXLIcsyhoeH0dPT\ng9/+9rejPhuLi4vh8Xjg8/lQXFwMn88XdyjTc889hyVLlqCiogIAovURM2fOxB/+8IcsXBkR0WgM\nGCxKefff6A61lloBNW1MlF1QO6xIBCwMFojIjsQsSW63GyUlJSgpKcGUKVMwd+7cMY/dt28f2tra\nMH/+fJw7d25MBuLw4cOQJAmLFi2K/s7n86GgoADd3d2cvpWITMGAwQaMWAxN0Bp8xBYmxx5LPEZP\ne9JdNI6IyAq0rMPQ3NyM7du348CBA1i+fDlcLhfOnTuHzs5OLF26FDt37kR9fT0effRRNDQ0YPXq\n1di+fTtkWYYkSdiwYUOGr4aIaCwpkuQWcFdXVzbbQgqSJCE3NxeRSATBYBBut3tMJ3lkZCTu74Vw\nODxmqlPxO9FBT3WMYDA4pvgOQLRdABLuLx6Tm5sb99ihUCgadMROxxqv7bHbxfmJiMz08MMP42//\n9m8xY8YMs5sy7lVXV5vdBCJH4ixJFpesoFjrTEKZWKRNHDcdsXUZRER2pGUdBiIiO2LAYGF6p1GN\nDSiMGtqU7jCiRIwIhoiIzKJlHQYiIjtiwGBRRmYDxPFEJ18pnY65CDzUtive8fVOo8oaBiKyCmYY\niMjpGDBYnJGLtBkRfCQKPOJJdq5Ui8apaQcRkRWEQqGE9VZERE7AgMHCkhUja6FnaFO8YU1GLNKm\nrIFIh57pYImIiIhIPQYMNqZ2OJFRQ5v01lTEticnJyetTIERq1QTERERkToMGBxMOYuREUOb4gUe\n6czUpLc9oVCINQxEREREWcKAwcFSrcQMqO/wi9WhjcoupFswrQw4GDSQUfhaIiIiSowBg4MZsRKz\nOI4R06hqCToSncfImaOIBA5xo3TxtUNE4wEDBgtL9UWULDsgpmUVj0uXOEe6U6Aq99cbdBgxnImI\nyEgjIyMJV7MnInIK9rwcSrlWgp47YGJfvdkFvesuAMwuEJH1cA0GIhoPGDA4kJa1EtQcC9CXpRDZ\njtigQ0swEzuciUEDEVkBAwYiGg8YMFhYupkBLXfiUw1rShUwqOn0i8yC3voHZheIyGpkWYbH4zG7\nGUREGcWAwWGMHOevHNZkRHvSPY5RMzQRERmNAQMRjQfsgdlYvLv7mVikzYhZQNJdZTocDhsyQxMR\nUSZ4vV4GDETkeAwYHCTenfh0i56NGAJk5LSuDBaIyIpkWWYNAxE5HgMGh0hUWJzusUTAoEc4HAaQ\nfsBg1PoPRESZwqJnIhoPGDBYmJbMQLqFxXqHNSXKYIjOvppjqFlvgojIiljDQETjAQMGBwiHw4bV\nLhhVYKymYDrZNhFEcGYkIrIyZhiIaDxgwGBhau+8i8653k5+siFAWrMdeteBMKLQmogo0xgwENF4\nwIDBASKRSMLOuZai53irMadzd19ZMJ1O0bWox2BmgYisjkOSiGg8cJvdAEpMbUdb71oJ4lxGFE2L\n7ILbnf5LS+36Dy6XK+mic4n+zewFERlF7bSqfr8f27ZtgyzLWLZsGRYvXjxq+5NPPonBwUFEIhF8\n6UtfQlVVFc6fP48dO3YAADZs2ICpU6dm5BqIiFJhwGBjynH+euldpE1kJvTWUiiHM6lZQTqR2POn\nU3yd6t9ERGozDK2trWhqakJTUxO2bNmCpqamUZnhe++9Fzk5Ofjwww/x6quvYt26dXjxxRexceNG\nAMCOHTvwwAMPZOw6iIiS4ZAki0vU0RUZAaOOn+66C8rHG7HKtNp6jEx03kXAJH5ycnJG/bhcrrg/\nsY+LPQ4ROZfadRja29sxe/ZsSJKEadOm4eLFi6O2i888v9+P6upqAFeyF6WlpSgtLYXP5zO+8URE\nKjHDYGGiA651WzqMKJpOJ7sgahzEf9UOZxJrPFhBOtkM4JOgJ9G0tERkTcPDwzh8+DAKCwtRWlqK\nnp4eFBQUoLCwEEVFRcjNzR2zjyzLKCgoAAAUFBRAluVR20OhEB599FEMDAzgq1/9KgAOpSQi62DA\nYEPKeoNUHedURcdqhjUpO/WJiOlY9cyMpHZYlJWCBT3EdWodWsb6DCJzhcNhDA8P4+LFiwiHw3jt\ntdfg9/vh9XoxNDSEnJwczJgxI/r44uJieDwe+Hw+FBcXw+fzjRnG5HK5sGnTJnR2duKFF14YM/yI\n2UoiMhMDBhvSW28QeyxA/5dRoulY1c6SpCW74KROsbgWrVmZZP9Odh61/yaixEpKSnDbbbcBAL74\nxS9i+/bt0axCJBLByMgI8vLyRu2zb98+tLW1Yf78+Th37hwmTZo0aru4CZSfnx/dt6ioCP39/ZAk\nKZqdICIyAwMGm1F2rI2YGUkEDKkyCGro2T9eECRJ0phsglOyC7EyffdQ77Aptf8mGm+CweCoIUiS\nJI0JFgCgubkZ27dvx4EDB7B8+XK4XC6cO3cOnZ2dWLhwIX7+859HPwPXrVsHAFi9ejW2bt0KSZKw\nfv36rF0TEVEsKZLkG7+rqyubbaE4Yr94QqEQIpFI9E68KHxONBQoEomM+UITgsFgNAMgCnbjCQaD\nCbeL44uiYC3nV7YhXhAUDofHZB2MKPS2CuW6F3YebhCv2J3Dpmi8WL9+PXbu3Gl2M+h/iIJxIjIW\nMww2omeNg9gMgujkuVwuXZ1wIzp/orM5XmoXYjkhWEiVwTAio8FAg4iIyBwMGGwk3VmI9B4rUR2C\ncmpXvYu9qSmWdlKHMVFH266Mug4jAg0OmyIiIjIWAwaLU045qncWIsGIGY3EcYyoowBSdwyZXbAm\nqwQ9sbUvaiSb1jbZ74mIiMYbBgw2IO7kx8sIxCsMVnMs5YxGamcyij2OGB6lZkhTvI6llhmCnNR5\nc0p2we7PCae1JSIiUocBgw0YmV0wqshW7dSuybaHQqFxte5CLCcEDE4o2AYyP62t8lzx/s1Aw55G\nRkbSqikjIrIbftJZnJgpKN4aB2opMwix2YV0xBZfp5uhSHWXXbn6c6LtdsPsgjVl4/lgfYbzeL1e\nFBYWmt0MIqKMY8BgcUbexRVZAbVDL5IdR2vxdSwxxCqVZMFIot/ryXqQOuncmbciOwRvqeoz4k3P\ny/UzsoMBAxGNFwwYLE508I1apC2d9LmyTkLPcQRl0XWyDII4d6JOUiKpOkPpBBpGdCqdtO4C4Ixg\nwUmSBRYcNpUZsizD4/GY3QwiooxjwGBxqTqXaocDJeuoaimcTmdq11jKDEW6Hf90O/fpni8TbYmn\n4+xZ7Pj5ZkQG+yCVlGPDNzahtq5O0zGyxQkBg92DN8DYLAkDDW28Xi8DBiIaFxgwjAPiC1tvcV66\nxdciMBCBiZpjiHMZLZ3OfapAQmugkejxHR1nse07f4t/aixG0RQXhkc68f3v/A02/uj/s0zQwBoM\na7HKdegNNLS8T6xElmUOSSKicUHfYHbKOCO/NPV28vRmF8TwIzVF11bqLIi70PF+cnJyEv4oHxd7\nPNHxVv7seGzzlWAh90owVZTrwj81FuP3j/3faPF7vP0yFVyNB04JfOx6Hcr3R+z7yeVyxf1J9j7L\n9t+BQ5KIaLxghsHhjOpQiOPEywyoHdKk9u60UzrAyuuMHf4S928wdAlFxaP/vkW5LqC3P2Exq1I2\nisCdMIzHaVkSp1yHWpkYNpVOOwAWPRPR+MGAweLUfokl6gCpXetADT3TsSqHM9kpu2AEtdcjlZRj\neKQzmmEAgOGREKSSsuSBRopzGFUErhw+YvdOKllPpl9TmQg0Ojo64PV69TeOiMjiOCTJ5pJ96Ykh\nLGqOoabDaUSWItHwHOVjnBgwqAnaNnxjE77fNoThkSsrZw+PhPD9tiFs+MamlOcwYthU7E+yIU9i\niFS8H6sPm3JClgRw3nVYVbL3U1tbG6ZNm2Z2E4mIMk6KJPkW7+rqymZbKA5JkpCbm5v0MWK10dgh\nMKLmINlwIvHYYDAY9zxiG4CE7RAdxURF1SMjI9Hzx669EHvuUCiU7FJtR+tUqp/MknQJUkmZZWZJ\n0jKMJ53AwMhhU8k4aWpbXof51qxZg6effpqrPVtIdXW12U0gciR+yjlUbFZA7bSpiY6jh3KWpEyf\ny2q0Zmdq6+rw9//6n5lsUlq0XIeZw6aM2GYnvA7znDp1CvX19QwWiGhc4CedDahda0EQ2QVRL5Bu\nR1yZpUi1uFqic6i9gyhJkiOzC4A9O0NKRl1Huh34dAONdLfZ4fmy+jAetex8HS0tLVi1apXZzSAi\nygoGDBanZux37B38cDgcHWurh/I4Ymy61i93tZ3NdDMgVuaUgEEw6zrSCTRSzetv9GxT2fzbOCUT\nZ/fr2LdvH5544gmzm0FElBUMGBxGrHWQTppcGRAoj6NnZiQxS1Mqah9nF04JFuw6BWm89qrJdGU7\nY6Hn72q35yQRO15HT08P8vPzUVxcbHZTiIiyggGDw4isgJYv4XiPTec4eo6RKpNilbu7Wlm5beOJ\n6qltDcpmqN2uNZvhlEAUsPdwpJdffhk33XST2c0gIsoaBgwOkii7kE4NRLpZinjHSFX/oJzJKdGx\n7DSExK535eOx8ww28WTiOtKd4UlvEXi8x9glsLb7cKQ9e/bge9/7ntnNICLKGgYMDiE66GJufT3S\nPU68OgrxkyhoUHPH1K5DSKzUQUuH3Tt1glUDuHReZ+J9ZHQQYlagYbXnRA2fz4e+vj5O30lE4woD\nBgdQLrKVaK0FtdLJLsR+6Ws5ht5iZ6OHkOjNZsQrrLVjpwhgdsFqlK+nRNdihWFTarZbMYBT68CB\nA1ixYoXZzSAiyioGDDagdg0DPdkFZdAR7zhq11IA1NcumHUHO1vZDPE7K97ZTcUp2QXA3p3TeNK5\nFrOGTWndbofnqaWlBffcc4/ZzSAiyioGDA4gvnhTTaOaquNkdO1CKnabSjVV5z7emhN2r82wQwcu\nGQY++mQ6uI59nNWD63A4jBMnTmDOnDlZOR8RkVUwYLA5NQujqf0y1ZulANTXP9gtWNBCee12rM2w\n6pj/dNh9WJhgt8BHzXCkeEMZk+1jheD62LFjmDdvnu1fT0REWjFgsDk1w160HEdPDYSW7ILdOkCp\nGN3JtkJtRqrnyOqdJqcEC0p2v5ZMZBAyHVzLsoyBgQEUFhZydWciGrekSJJPza6urmy2hRJwu91x\nhxtFIhEEg8HotKTJOuojIyNJF2EbGRmBJEkJjyHOk2jYUzAYBHDlizY26BDtzM3NBYDoqtFOoibT\nY1WJhohonY5XyQrDR5Q1OXZm59dWLKs8J1rqK06ePInf/va38Hq9kGUZBQUFKCoqQmFhIYqKijB1\n6lTcdtttmW4yqcTZq4gygwGDDSQKGEKhUPTLN9Wd/WQBQzgcjq60nOgYoVAIQOIMxMjISLSt8YYa\nKAMGcSyncGKHLtW16CmGTcToIMOIxQetwEmvLzs/Jx999BF++MMf4j//8z/h9XoxPDyM4eFhSJKE\na665xuzm0f9gwECUGRySZFPK4T9qOmiJZjkSxzHiS9zKMyOROmo7plYdPqLm8XbjlGDB7s/Jnj17\nsGrVKhQVFaGoqAhVVVVmN4mIKGvsnasfx4zq5Kca2672GIC6u8BOLHZmh0498XeK9yOGvMX+JNtH\ntDv2R3lN4XB4zE+8fYx4LxjNau0xgl3fJ3v37sWNN95odjOIiEzBDIMNxRYXpzvWPBKJIBQKweVy\n6eqYiCFG4zG74KRrsmqRsNZshrLjb/T6AmbVZljtOUmHnWfe6u/vRyQSwcSJE81uChGRKRgw2EBs\nB0bt1KVqjivu1Kbb8dVyVzZZ7YJdOxJOyy7Y/TqUkhXWZmumqWTnSrVNHNMJz4ndA+tXXnkFN910\nk9nNICIyDQMGm9EydWmq44jsgujwJhsulGh7KBSKdsySdZhSBSXZmkfdSHbvBMVj9t/UCHo62Vaq\nzUj2GLs+T3Ztd0tLC77zne+Y3QwiItMwYLABZYdBdNC1fvHGdthFDYSe6Q3FWHCXy5WyNiHZXXij\nO1vZCjKclF3gnWx9MrFuhpZ/62lHNtj59RUIBHD+/HnU1dWZ3RQiItMwYLARZQc9HrVfykZkKcQx\nRIYiGTXBhNZt2ZptJ9E2ZhesyU5BnNrhSFpee1aszbD7e6W1tRXNzc1mN4OIyFQMGGxA3AFO1EHX\n+oVuxAxLWu5KZ6LDkIkgI5uZDqtgdsF+rPLa19oOu77GWlpasHbtWrObQURkKgYMNmFUx85q2YVs\nMmp8euy0nWr309sOUscJf0Oji9CtUJshPgvs9PqPRCI4duwYvve975ndFCIiUzFgsAllgbIeyWZY\nSjVkQWxPFLzE298Jd30TXWey+g+7DBux0xCeZJyYKbHCtejNZij/X3yG2CnIfvfdd3H11VfrqvUi\nInICBgw2IOoW9HwxSpIUndY0XnZB7bFjZ1dS7h9v+lenUduZM3rYSKrtdh4WRfHZ9bmLF2CLDne2\nZ5rSG2i0tLRg1apVKR+ntGvXLnR0dKC2thZ33nln9PdHjhzBnj17MGPGDHzlK1/RdEwiIrPxtolN\npAoY1K6loHf9Bi13pJ2QXYiVybu/4u+a6CedlZDFHd1EP+Ka1K6CbNXn1CmZEsDeMwrF0nItRr/2\nxfkT/cRbATwcDuPDDz/EoUOHcOzYMbz33nuYNWsWBgcHk64jI3R2diIQCGDTpk0IBoPo6OiIbps7\ndy6++c1vpveHJCIyGTMM44SaYTRqqB0aNZ6zC9mWzl1U5fOjdQYoqw0bsWoQkw5eizaZqM0YGhrC\n6dOnMTg4iLKyMjz11FMYHh6GLMvIzc3F4sWLsX79+rj7tre3Y/bs2QCAxsZGtLe3o7a2FgBQVFQE\nv9+v5rKIiCyHAcM4oabgUI3xnF0QrBYwpENkH+IFkNkcNmJkkOGE50XgtWRWsjZde+21uPbaa/Hk\nk0+iqakJd911F4Arn6E+ny/pzRBZllFZWQkA8Hg86O7uNrbhREQmYcAwDmi5259oCIEyQzFeswtO\nGSqi51oyMaVnOtuUQ05iH2/n58gprzHA/tfy8ssv4yc/+Un03zk5OSgsLEy6j8fjgc/nAwD4fD54\nPJ6MtpGIKFtYw+AQiWoYxFjdVEORUn2xp+qMxY6Xdyo7d4BiZetaMjk2XSnV2HSr12VYpR1GsPu1\nDA0NwefzoaKiQtN+06dPR1tbGwCgra0N9fX1o7bb/e9CROMXAwabSPeLxog746ITpvaxTuOk7AJg\njzu/aoMM8Vi9BeBWCDKckCGJZddr+dOf/oQbbrhB8341NTVwu93YvHkzcnJyUFdXh2eeeQbAlSla\nn3rqKZw8eRK//vWvDW4xEVFmSZEk33xdXV3ZbAslkZubm/TLV8zg4XK5or+LRCIIBoPRIuVgMIjc\n3NyExxgZGYHb7R5znlAoFO0kxduuPBdgr4WZ1BDX7oS52JXBjx2fCyWjriXdYVHJaH0POOl5AYxZ\nTd5MDz74IDZt2oSGhgazm0IaVVdXm90EIkdiDYODGdWZEitDi4AgkXjjyuMdL9X+WrdlklOzC065\nHsCYQn6t21K9xvUEIfG22+n5snuWMRgMor29ncECEZECAwaHikRGL7CmnHNfS+dDy51C8ZhsdrKs\nGGRYld07ckpmB3JGT+epfH9q2c/Kr3+zz5+u119/HYsXLza7GURElsKAwSZSdY4kSRpVZyA6+mpW\nWFUeQ3keZXYh3vbY9qk5fjrbzJrK02nDRDhG3nzJ3juJXmeZnGVK6zY17J6Ra2lpwec+9zmzm0FE\nZCkMGBwotqOfLjG7kpoZlDJ599rsqTxTXZsdOkdOCxbs3imNJ9kMZFr3SWfYU6ptatph9yxWJBLB\nm2++iUceecTsphARWQoDBgcyouBQS9BhxXUXjOhkKTvZRnew1GzPBCd0su3eKY2VieAn3deeUYG2\n2iFjVns9trW1oaGhYdTkEURExIDBcczILjhF7HAk8btkwZfRxa2x7dCyLdl5nHRH3knZEqu9f/QG\n2rHPjVXeA2rt2bMHn/3sZzXts2vXLnR0dKC2thZ33nln9Pe7d+/G+++/D0mScMstt2DWrFlGN5eI\nKGsYMNiEmo6FCBYSdfST1SDEO06qoEOSpOh0rk6jtnbBDnUZTuKkYAFwxvXEBgfK941V3gNq/777\n9u3Dfffdp+qxANDZ2YlAIIBNmzZhx44d0cABAJYsWYLVq1fD5/Ph8ccfZ8BARLbGgMEhxBeinuyC\nCCgSBR2xQ3PMGIp0uPUwfvSdHyDkk+AqiOA7P/oumpc1G3qObNz1zWZdhvIxysdZeYadVKzePjWc\nECzEo/Z6zK5NEo4ePRrdPnHiRMiyjJycHOTn56e8lvb2dsyePRsA0NjYiPb29mjAUF5eDgDRmeqI\niOyMAYNNqO3EqhlGlOo8kUgk5RheM7ILh1sP4/9884dYMnMjcl35GAn58X+++UN877FHDA0arDoz\nUjodLGVQF/sYO05j66ShVYJTricbz00mgozu7m5cvHgRfX19qKqqwpYtWzA8PIxQKISioiLcdttt\nWLRoUdz9ZVlGZWUlAMDj8aC7u3vMY3bv3o3ly5cnuywiIstjwOAQ4ktR72rEkUhEVdBhRnbhR9/5\nQTRYAIBcVz6WzLwXP/rOD/Ds/j8Ycg6rjSk3QqLgJ5t3cY0INJz23Dgp+LHyc5PqtXfrrbcCADZu\n3Ih/+7d/w+TJkwFcWcBteHgYeXl5Cff3eDzw+XwAAJ/PB4/HM2r7X/7yF3i9XjQ1Nem9DCIiU+nr\nXVLWpPpCFh14vdkFQF3QYUbAEPJJ0WBByHXlI+Qz7hxOGiaSbidOWegd+5OTk5PwJ9l+InMV7ycc\nDsf9ifdYp3DStQD2f994vV4MDg5GgwUAcLvdKC0tHRMEKE2fPh1tbW0ArsywVF9fH93W1dWFgwcP\nYv369ZlrOBFRljBgcADRuQJS3+VNdYdYzVAcszo7roIIRkL+Ub8bCfnhKjDm+Hbv9MTK9vWkE2ho\nCTKU16UlyLBysOGE15oT3jcHDhzAihUrNO9XU1MDt9uNzZs3IycnB3V1dXjmmWcAAM8//zyGhobw\n2GOP4Ze//KXRTSYiyiopkuSbtKurK5ttoSQkSUJeXl7cjk8wGIQkSdGC50Rf3KLmIF59Qjgcjm7P\nzc1Nur9ZPqlhuDdaw/D66W2G1TCIrIneYV1WoJxK1c4dOUFcT05Oju7i71hm1GUYsVaKVTjhtfb3\nf//3+NrXvoarr77a7KaQTtXV1WY3gciRWMNgc+KuqsvlSnuYkLhjq2YK0VAolPBxme4sNC9rxvce\ne+R/ZkkCXAXA9x4zZpYkJ9wljccp16Mc72+V2XUyMaWuHdn9vRMOh/HBBx9EZzsiIqKxGDDYRLxh\nFaKjr3faPrV3b1MtxpTpolfgStBgVIGzkt07PUpOXahNj0wEGenOMhVvobNUbbQqJ7xvjh49ivnz\n59v6GoiIMo0Bg40Z0TFUBh3i38kem2i4TqY6V4kY+eXuhE6Pk5k13CXTi/LFuwFgZDtInZaWFs2r\nOxslGAyiq6sLb775JkpKSrB48WJMnDjRlLYQESXDgMGmIpEIQqHQqOyCuHuZbMhQ7LAlZdCR6k5u\ntodnZDvIcErny+7jyZXsOHxHzaQBsYG3ld4HWjgh2D58+DC+/e1vm3Luffv24d1330VFRQX6+vow\nNDSEO++805S2EBElw4DBpozoFMYLOhJ1QDI1japVxqMn2m63jpAdO9hq2O15SCRRQG+V94GWdjgh\nWDhz5gxqamoSTvSQaa+++ioeeOABVFdX48KFC/j1r3+NsrIy3HDDDQCAF154AZMmTUq4cBwRUbbY\nfzqYcUh09I1Y1Vlt0GGljqiR03cq6V0jwArTdzotu8BajMSMnsZWtDHRT7z3QKp9rK6lpQWrVq0y\n5dxdXV1wuVyoq6uD2+1GTU0N7rvvPuzfvx89PT0AgCNHjqCiogKAtT6DiWj8YcBgQ2LP3ab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Po4pE51dbXZTSByJGYYbEZ8oSfKLsROraq20PljuX9UsAAAOflufCz362twhtmtEzpehoTEa4ud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\nm80Gs9kMl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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "draw_components_scatter([XY_PCA[:201:200, :3], XY_PCA[201:402:200, :3],\n", " XY_PCA[402:603:200, :3], XY_PCA[603:804:200, :3],\n", " XY_PCA[804:1005:200, :3]],\n", " ['ising 50%', 'ising 30%', 'ising 10%',\n", " 'ising 40% run#1', 'ising 40% run#2'],\n", " view_angles=(30, 100), legend_outside=True,\n", " fig_size=(10,8), title='Initial and Final microstructures')\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The clustering on the top left side is final structures, while the spread is initial structures. Note: there are only four initial visible structures since two last runs start with the same initial microstructures. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "From these five simulations we can tell that different initial microstructures merge into similar ones after Monte-Carlo simulations although they take different paths." ] } ], "metadata": { "celltoolbar": "Raw Cell Format", "kernelspec": { "display_name": "Python 2", "language": "python", "name": "python2" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.11" } }, "nbformat": 4, "nbformat_minor": 0 }