diff --git a/MCMC/MCMC-flow/analysis.ipynb b/MCMC/MCMC-flow/analysis.ipynb new file mode 100644 index 0000000..47fa6d1 --- /dev/null +++ b/MCMC/MCMC-flow/analysis.ipynb @@ -0,0 +1,615 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "id": "dde472cb", + "metadata": {}, + "outputs": [], + "source": [ + "import signac\n", + "import numpy as npt\n", + "import matplotlib.pyplot as plt\n", + "import numpy as np" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "698aba14", + "metadata": {}, + "outputs": [], + "source": [ + "project = signac.get_project()" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "id": "f9805cb3", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "ProjectSchema(<len=16>)
{\n",
+       " 'energy_func': 'str([lj], 1)',\n",
+       " 'energy_write_freq': 'int([1000], 1)',\n",
+       " 'epsilon': 'float([1.0], 1)',\n",
+       " 'hard_sphere': 'bool([False], 1)',\n",
+       " 'kT': 'tuple([(10, 2.8), (10, 3.0), (10, 3.2), ..., (10, 4.8), (10, 5.0)], 12)',\n",
+       " 'm': 'int([6], 1)',\n",
+       " 'max_trans': 'tuple([(0.5, 0.5)], 1)',\n",
+       " 'n': 'int([12], 1)',\n",
+       " 'n_density': 'float([0.1, 0.15, 0.2, ..., 0.4, 0.45], 8)',\n",
+       " 'n_particles': 'int([100], 1)',\n",
+       " 'n_steps': 'tuple([(50000000.0, 100000000.0)], 1)',\n",
+       " 'r': 'float([0.5], 1)',\n",
+       " 'r_cut': 'float([2.5], 1)',\n",
+       " 'seed': 'int([20], 1)',\n",
+       " 'sigma': 'float([0.5], 1)',\n",
+       " 'trajectory_write_freq': 'int([10000], 1)',\n",
+       "}
" + ], + "text/plain": [ + "ProjectSchema()" + ] + }, + "execution_count": 12, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "project.detect_schema()" + ] + }, + { + "cell_type": "code", + "execution_count": 58, + "id": "71bd0fb2", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "50001" + ] + }, + "execution_count": 58, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "sample_job = list(project.find_jobs())[0]\n", + "eq_start = int(sample_job.statepoint.n_steps[0]/sample_job.statepoint.energy_write_freq) + 1\n", + "eq_start" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "id": "def15ceb", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "{'n_density': 0.35, 'n_particles': 100, 'r': 0.5, 'r_cut': 2.5, 'energy_func': 'lj', 'hard_sphere': False, 'epsilon': 1.0, 'sigma': 0.5, 'n': 12, 'm': 6, 'energy_write_freq': 1000, 'trajectory_write_freq': 10000, 'n_steps': [50000000.0, 100000000.0], 'kT': [10, 3.8], 'max_trans': [0.5, 0.5], 'seed': 20}" + ] + }, + "execution_count": 16, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "sample_job.statepoint" + ] + }, + { + "cell_type": "code", + "execution_count": 73, + "id": "081d3d59", + "metadata": {}, + "outputs": [], + "source": [ + "def get_energies(text_file, start):\n", + " array = np.loadtxt(text_file, dtype=str)[start:]\n", + " return np.asarray([float(a.split(',')[0]) for a in array])\n", + " " + ] + }, + { + "cell_type": "code", + "execution_count": 174, + "id": "ef803a7c", + "metadata": {}, + "outputs": [], + "source": [ + "import gsd.hoomd\n", + "import freud\n", + "def rdf(gsd_file, start=0, stop=-1, bins=30, r_max=2):\n", + " with gsd.hoomd.open(gsd_file, \"rb\") as f:\n", + " rdf = freud.density.RDF(bins, r_max)\n", + " for snap in f[start:stop]:\n", + " box = snap.configuration.box\n", + " points = snap.particles.position\n", + " rdf.compute((box,points))\n", + " return rdf\n", + "\n", + "def rdf_peak(rdf):\n", + " return rdf[find_peaks(rdf)[0][0]]" + ] + }, + { + "cell_type": "code", + "execution_count": 130, + "id": "416634b3", + "metadata": {}, + "outputs": [], + "source": [ + "\n", + "def avg_nn(gsd_file, frame=-1, r_max=3):\n", + " with gsd.hoomd.open(gsd_file) as f:\n", + " snap = f[frame]\n", + " box = snap.configuration.box\n", + " points = snap.particles.position\n", + " frame_avg_nn = []\n", + " aq = freud.locality.AABBQuery(box, points)\n", + " nlist = aq.query(points, {'r_max': 3}).toNeighborList()\n", + " neighbors = []\n", + " for i in range(snap.particles.N):\n", + " neighbors.append(np.where(nlist[:, 0] == i)[0].shape[0]-1)\n", + " frame_avg_nn.append(np.average(neighbors))\n", + " return np.average(frame_avg_nn)" + ] + }, + { + "cell_type": "code", + "execution_count": 169, + "id": "0cfa7335", + "metadata": {}, + "outputs": [], + "source": [ + "rd = rdf(job.fn('trajectory_1.gsd'))" + ] + }, + { + "cell_type": "code", + "execution_count": 120, + "id": "5887de50", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 0. , 0. , 0. , 0. , 0. ,\n", + " 0. , 0. , 0. , 0. , 0. ,\n", + " 7.466453 , 18.675554 , 15.808517 , 9.036184 , 15.666558 ,\n", + " 6.8554654, 9.074895 , 8.067684 , 7.219268 , 19.493956 ,\n", + " 7.839481 , 8.90914 , 13.015932 , 2.982977 , 6.8611774,\n", + " 7.6004105, 5.8647356, 7.6243963, 10.141157 , 5.679201 ,\n", + " 7.9693756, 7.4714766, 5.4590793, 5.8720274, 4.8445253,\n", + " 1.3072736, 7.41974 , 2.3431144, 3.8902223, 5.807601 ,\n", + " 2.5110664, 4.3047433, 5.472738 , 3.4826765, 4.1599092,\n", + " 4.77488 , 3.8097622, 4.381267 , 4.2024636, 3.6981812],\n", + " dtype=float32)" + ] + }, + "execution_count": 120, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "rd.rdf" + ] + }, + { + "cell_type": "code", + "execution_count": 141, + "id": "b852e6be", + "metadata": {}, + "outputs": [], + "source": [ + "from scipy.signal import find_peaks" + ] + }, + { + "cell_type": "code", + "execution_count": 171, + "id": "1bfac97f", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "90.45856" + ] + }, + "execution_count": 171, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "rd.rdf[find_peaks(rd.rdf)[0][0]]" + ] + }, + { + "cell_type": "code", + "execution_count": 170, + "id": "65d382eb", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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swcyZMxN3I5SSgq0BBIDx1QXYe6wTuxs7sHB8ZTIuTTd8JWDP9yjXYsSJbg6DJiLSq5QIABcsWBBxndUtt9yCW265JeTXN23aFPD5I488gkceeUSLy6M05+sCDny7TKgpxNq6o2wEQf8MYJ43EOQoGCIifUqJEjBRMvkPgvY3oboIAEvAgC/QYwmYiCg1MAAkikBsBZdn6V8CBoBDrVZ02TI70PGNgfGWgL3/ZRcwEZE+MQAkisC3E0hgBrAs34LKQgtkGdjblNlZwFBNIFaWgImIdIkBIFEEIojJM/dfMqsMhM7wMrC1T5AssqVWNoEQEekSA0CiCEKVgAHfQOjPGzsH9Jr0xn8nEP//cg0gEZE+MQAkikApb1qM/b6m7Amc4Z3AShNIlugCZgmYiEjPGAASRaBkAMOUgPc2dcDlztwt4XwlYDaBEBGlAgaARBGEagIBgNqyPOSajeh1uHGgpXugL003+mZJxa4pXANIRKRPDACJIhBBTLA1gEaDhLFVnnEwmVwG7nEEdgGLcTBcA0hEpE8MAInCkGVZCWLygqwBBNgJDPg1gWR5Aj+uASQi0jcGgERh2JxuiKV9wdYAAmwEAQCrLbBM7lsDyACQiEiPGAASheG/w0dOVvAMoBgFszuTA8A+JWCRLe3O8B1SiIj0igEgURhWv32ADQYp6DHjqgogScDxThuaO3sH8vJ0o+8cQO4EQkSkbwwAicLo7jPeJJhcswkjBuUBAHZn4EBol1uG3ekGEGwMDANAIiI9YgBIFIY1QgOIkMllYP9Zf0oJmHMAiYh0jQEgURjdttD7APvL5E5gsQuIQQIsJs9fKWIeoNXugjuDB2QTEekVA0CiMHz7AIfPAGZyJ7AyBNpsgiRJ3j/7vl9iRiAREekHA0CiMLr9gptwRAZw//Eu9GZYwNO3AQQAsk1GeGNBrgMkItIhBoBEYUS7BrCiwIKyPDPcMrC3KbMaQaxBtsozGCTkZhkDvk5ERPrBAJAojG5bdBlASZIytgzs2wUkMEhWtoPjfsBERLrDAJAoDJG9yg+yD3BfmdoJ7FsDGBgAiqxpj4MZQCIivWEASBRGl61/eTOUTO0EFgFe3yxpLjOARES6xQCQKAyxE0heFBlAUQLe3dgBWc6c0SchM4BmrgEkItIrBoBEYXQHaXAIZVhprvc5LnT0Zk7Q0xMiABRdwcwAEhHpDwNAojBEdivSIGgAyM4yKlmvk932uF730yPtuP+1z+I+z0DwjYEJ/B4pu4Fk2FgcIqJUwACQKAzfIOjIASAAlOSZAQCt1vgCtyc2fYVVWw/iH580xnWegRAqS6rsBmLLnGwoEVGqYABIFIayvi3CHECh1BsAxpu5a+7s1eQ8AyFUCVhkALs5CJqISHcYABKFoWQAoygBA0BJricAPBFn4NbqfX5HjyOu8wyEYDuBAL6AkBlAIiL9YQBIFIaaJhBAuwygCAA7U6CZRMkAZvUNALkGkIhIrxgAEoWhZgwM4MsAxrMG0OWW0ebN/HX0pkIG0Bsk9/ke5XENIBGRbjEAJApBlmUlA5gXZQawLD/+DGCb1Q4xRjAVMoCh5gAqY2C4BpCISHcYABKFYHO64fYGYqozgN2xZ+5a/YLHVMgA9jjCN4H0MAAkItKdlAgAt2zZgosuugg1NTWQJAlr164N+Pr1118PSZICPmbNmhXxvKtXr8aECRNgsVgwYcIErFmzJkF3QKmoy690mZMV7RrALADAyThKwP4NJKmQARSNMjlZfbeCExlA/d8DEVGmSYkAsLu7G1OmTMFjjz0W8pgLLrgAjY2Nyscbb7wR9pzbtm3DVVddhSVLlmDXrl1YsmQJrrzySnzwwQdaXz6lKLH+L9dshMEgRfUcXwYw9gDQv3ycCl3AIcfAeLOmVu4EQkSkO9HVtZJs8eLFWLx4cdhjLBYLqqqqoj7nihUrcN5552HZsmUAgGXLlmHz5s1YsWIFnn/++biul9KDrwM4+reJ6AKOJwDsmwGUZRmSFF0AmgzWECXgHGYAiYh0KyUygNHYtGkTKioqMGbMGHznO99Bc3Nz2OO3bduGRYsWBTx2/vnnY+vWrYm8TEohors1L8oh0IAvAGzvccDpcsf0uv4ZQLvLDZsztvMMlFBzALkGkIhIv1IiAxjJ4sWLccUVV6C2thYHDhzAz372M5xzzjnYsWMHLBZL0Oc0NTWhsrIy4LHKyko0NTWFfB2bzQabzaZ83tHRoc0NkC5126LfB1goysmCJAGyDLT1ODAoP/j/f+H0HSLd0etAdpRrEAeayy3D7g1Q+2ZKuQaQiEi/0iIAvOqqq5Q/T5o0CdOnT0dtbS1ef/11XHrppSGf17esFqnUtnz5cjzwwAPxXzClBN8+wNEHXyajAUU5WWizOnCy2x5TANi3fNzR40RFgerTDAirX3AXag1gr8MNl1uGMcp1lERElHhpUwL2V11djdraWuzbty/kMVVVVf2yfc3Nzf2ygv6WLVuG9vZ25aOhoUGzayb96VaaG9T9O6k0zu3g+nYQd+p4FIwo7xokwGIK/OvEPyC0MgtIRKQraRkAnjhxAg0NDaiurg55zOzZs7F+/fqAx9atW4c5c+aEfI7FYkFhYWHAB6WvWNYAAkBJnNvBnejqWwLWb/Bk9QuS+2bPLSYDRNKP6wCJiPQlJUrAXV1d+PLLL5XPDxw4gLq6OpSWlqK0tBT3338/LrvsMlRXV+PgwYO47777MGjQIPzHf/yH8pxrr70WgwcPxvLlywEAP/jBDzBv3jw89NBDuOSSS/Dqq69iw4YNePfddwf8/kifum2xZQDj3Q5OlIBzzUZY7S5dZwDF+r6+DSCAZ4lFntmETpuTu4EQEelMSmQAt2/fjqlTp2Lq1KkAgKVLl2Lq1Kn4+c9/DqPRiE8++QSXXHIJxowZg+uuuw5jxozBtm3bUFDgWzhVX1+PxsZG5fM5c+bghRdewMqVK3Hqqadi1apVePHFF3HGGWcM+P2RPokMYH6Uu4AIZXFkAGVZVgLH2rI8AJ41gHoVagagkOvNnnZzP2AiIl1JiQzgggULIIvNUYN46623Ip5j06ZN/R67/PLLcfnll8dzaZTGxE4goYKbUEryYt8OrtvuUrpqh5flYndjh64zgMoImBBdyp7sqU3ZLo6IiPQhJTKARMkgdrCIdh9gIZ7t4ETWMDvLgMrCbAD63g/YGikDaGYGkIhIjxgAEoXg2wlEZQYwji5g8ZzSXDMKsj2Bp573A+5xiEaZ4EGymKFo5RpAIiJdYQBIFIIIWtQMggZ8u4HEsgawtdszaLw034zCbE8mUc/7AUcqAecwA0hEpEsMAIlC8A2Cji0AjGU/YLFusDTPkhoZwAglYDFCh2sAiYj0hQEgUQhKCVjlHEAlAxjDGkAlA5ibhcIcbwZQx2sAxaicnBBZUjFCRxxHRET6wACQKARrDHsBA74uYKvdhV6VmS9lDWCKZACtjvDrJPO8j3MnECIifWEASBRCrE0gBRYTTN4tMNRmAcW6wbIUWQMYqQScwyYQIiJdYgBIFEKsY2AkSVKygH23dYtErBssSZEuYKUJhBlAIqKUwgCQKAhZlpUMYJ7KDCDgGeMCqM8AtiolYLOyBrDT5oTLHXoQejIpGcBQg6AtXANIRKRHDACJguh1uCFiLrUZQCD2TmD/AFBkAAHfriR6Y1UaZULNAWQGkIhIjxgAEgXR7RewhJpxF06sswBP+AWAFpMRFpPnLarXdYCRdgLJUQJAZgCJiPSEASBREGL9X67ZCIO3oUONEu92cK3W6AM3h8utrPcr8waQBd5GEL2uA4wUAIoO6m4GgEREusIAkCgIXwew+vIv4LcGUEUGUBxrkIAi7/q/whzP6+t1FqAo7eZkhZgD6J2haNVpCZuIKFMxACQKQgQ2eSqHQAslMawBPOHXASyyjoU6zwBGGgOTyzEwRES6xACQKIiuGIdAC7E0gYgMoAgeASiNILpdA+iIVAJmEwgRkR4xACQKwmqLLwMYy3Zw/g0ggjIKRrcl4PBzAJUxMMwAEhHpCgNAoiC6ldJmbBnAktwYMoDeYLHMPwAUGUAdloBdbhl2pxtA6EypyADanW44Xe4BuzYiIgqPASBREPGuAfTPAMpydEOcxa4hJQEBoH4zgP5l3VAZQP/HrSr3RSYiosRhAEgURLdNmwygwyWjM8oOWJEtLAu6BlB/GUDRAGKQoMwr7MtsNCj7Ilu5GwgRkW4wACQKotsbtOXHsAsI4Ml8iQHS0Y6CabWGXgOoxzEw/mVySQo+K1GSJKVBpJuNIEREusEAkCgI3xzA2ErAgPpO4Nau/gGgyADqcQyMMgMwwvdIbKXHDCARkX4wACQKQgQrsewDLKjtBG4N1gWcrd8MYKQZgEIOR8EQEekOA0CiILTIAPqGQUcXvIkSsFg/COh7KzhlBEyEvZLzOAyaiEh3GAASBSGClVgHQQNAaa4neItmDaAsy8pxZfn+awD1Owg60j7AAtcAEhHpDwNAoiBEE0hujGNgAF8G8EQUAWBHrxNOt2dcTKgMYLTjZAZKj0OMygkfJCtrAJkBJCLSDQaAREF026MLbsIR41yiyQCK9X95ZiOy/UqqYhC03eWGzamvQcrRloCVNYBRjsMhIqLEYwBIFIQ1zr2AAb81gFE0gbR22wAApX7lX/H6YsKK3hpBrLboSsB5SgmYGUAiIr1gAEgUhCZjYHLVZAA9wV1pniXgcYNBQoFFn8OgffsAhw+Sc5UmEG2v3+2WseTpD3DtM//WXXmciEjvYk9vEKUxLcbAxJQB9DaO+CvIzkJHr1N328FZHdEFybnKGBhtM4CNHb14Z18LAM8ayqKc/t87IiIKjhlAoj5kWfatAdRgEHQ8GUDAfzcQfWUAo50DmKhB0A2tVuXP3VxfSESkCgNAoj56HW54G3I1GQTd1uOAyx2+RKlkAPOCZQDFbiA6ywAqJeDkjIGp9wsAuxgAEhGpwgCQqA//QCVSh2s4xd7MnSwDbRHKwCeUXUCCZADFbiA6WwPYE+WsxEQNgj7MAJCIKGYpEQBu2bIFF110EWpqaiBJEtauXat8zeFw4Mc//jEmT56MvLw81NTU4Nprr8XRo0fDnnPVqlWQJKnfR29vb4LvhvTOv7vVYJBiPo/JaFDWpUXaDk4ZAp1n7ve1Qt1mAKPbCzhRW8E1nOxR/tyls/I4EZHepUQA2N3djSlTpuCxxx7r9zWr1YqPPvoIP/vZz/DRRx/hlVdewRdffIGLL7444nkLCwvR2NgY8JGdnZ2IW6AU4usAjr9HqjTK7eDEHMCSYAFgjj73A+6Oeg1gYppAWAImIopdSnQBL168GIsXLw76taKiIqxfvz7gsUcffRQzZ85EfX09hg0bFvK8kiShqqpK02ul1GdVhkDHXv4VSnKzcAC+AC8UXwm4fwDoWwOoryAn2iYQEUhr3ajRwACQiChmKZEBVKu9vR2SJKG4uDjscV1dXaitrcWQIUPw9a9/HTt37hyYCyRd69JgCLTgywDGUwIWawD1lQFUSsBZ0a0B7NEwA9jrcKG506Z8zhIwEZE6aRcA9vb24t5778W3vvUtFBYWhjxu3LhxWLVqFV577TU8//zzyM7Oxplnnol9+/aFfI7NZkNHR0fAB6UfsWWZFhlAZRRMmDWAvQ6XUk4NVgJO9QxgTgJ2Ajnst/4P4BgYIiK10ioAdDgc+OY3vwm3243HH3887LGzZs3CNddcgylTpmDu3Ln429/+hjFjxuDRRx8N+Zzly5ejqKhI+Rg6dKjWt0A64FvbFn8GsCSKDKAIDk0GSWn48KfXNYBWh9o1gNoFaf7lX4AlYCIitdImAHQ4HLjyyitx4MABrF+/Pmz2LxiDwYAZM2aEzQAuW7YM7e3tykdDQ0O8l006pOUawGi2gzvR5WsAkaT+Xcd6zQBGPwfQc/0Olwy7063JazecDAwAOxkAEhGpkhJNIJGI4G/fvn3YuHEjysrKVJ9DlmXU1dVh8uTJIY+xWCywWPrPaaP00m1LQAYwTAm4Ncz6P0CfawBdbl8wF2mtpH+GsMfugtkU/787RQYwyyjB4ZJZAiYiUiklAsCuri58+eWXyucHDhxAXV0dSktLUVNTg8svvxwfffQR/vGPf8DlcqGpqQkAUFpaCrPZ80v12muvxeDBg7F8+XIAwAMPPIBZs2Zh9OjR6OjowO9//3vU1dXhD3/4w8DfIOmKCCbi2QZOiCYDKErAwTqAAX1mAP3LuZEygFlGA8xGA+wuN7rtThQF2e9YrYZWzxrAURUF2N3YwSYQIiKVUiIA3L59O84++2zl86VLlwIArrvuOtx///147bXXAACnnXZawPM2btyIBQsWAADq6+thMPgyD21tbbjlllvQ1NSEoqIiTJ06FVu2bMHMmTMTezOke8o+wHFsAyeU5nuCuhNRloCDEWsAO21OuNwyjHEMp9aKKP8aJMASRUYv12KE3erWbB2gmAE4vsoTALIETESkTkoEgAsWLIAsh95LNdzXhE2bNgV8/sgjj+CRRx6J99IoDYmdQDQJAKPIAEYqARf4NYZ02ZzK7iLJZPVrlAm2brGvPLMJbVaHZsOgxRrA8dWFwM4jLAETEamUNk0gRFrx7QSiwSBob1DXbXeh1xE8+BHrA0tygweAFpNRybLpZR1gtNvACcooGFv8AWC71aGUw8dVFwBgFzARkVoMAIn6EFkqLQZBF2ablJJtmzV48NbqLQGX5QcPAAGgwNsIopd1gNHOABTyNNwPWJR/B+VbUF7gacpiBpCISB0GgER9iGxSrgZjYCRJUjJ7oWYBtkZoAgGAwhxPMKqXWYDKCJis6L5HynZwGpSARfl3aGmOEqTrJTAmIkoVDACJ+rBq2AQCAKV5nuxdqN1ARGBYGqIEDOgvA6hkSaP8HomZij0aZADFCJhhpbnK+kib0w2HS5sZg0REmYABIFEfVg33AgZ8mb1QncBKABimBCx2CNHLGsAeh7p1kjkiA6jBGkAlA1iSGxCAsgxMRBQ9BoBEfWjZBAL47QccJAB0uWW0RVMCVjKA+ggARSAXbQlY2zWAnhmAQ0tzkGU0KA0yesmOEhGlAgaARH1oOQYGQNg1gO09DrjlwOOC8a0B1EeQo7YJRMs1gIdbfRlAwDcmh53ARETRYwBI5EeWZd8gaK0zgEHWALZ22wB4SrxZxtBvxwKdZQB9+wBHFySLQLEnzgDQ7ZZx+KTIAHoCQBGoswRMRBQ9BoBEfnodbiUjNxAZwNZuT0AXrvwL+K8B1EeQY1W5BlB0VMcbpB3r7IXd5YbRIKG6KBsAkO/9OXE3ECKi6DEAJPLT7b/HbZTr2yIR8/3CZQAjBYBKBtCmjwyg+jmAniAt3p1AxB7ANcXZMHkzpvnMABIRqcYAkMiPWP+XazbCoNGeuyIDKPb89efLAFrCnkNZA6iXDKBSAo52DaA2TSD+I2AEEQB26WR9JBFRKmAASOTH1wGs3TbZ0awBFLMCQymw6GsNYI/K3VK0agLxHwEj5LMJhIhINQaARH5EGTFPg11AhBJlDIwDsiwHfE3MBoycAfQEgHrpAu5WuRewWAMYbwZQbAM3NFgGkAEgEVHUGAAS+elW1rZpmAH0loDtLne/DJiYDVgWcQ2g2PJMHxlAa6xrAOMcBH3YuwZwSEmO8hhLwERE6jEAJPJj9WaR8jXMAOaYjcjO8rzV+g6DFhnAkkhdwCIDqJM1gOrnAIoMoDYl4KBrAJkBJCKKGgNAIj+JyAACQJm3xNt3O7jWKDOAYgyM3eVGryP+YcrxEqXcnCx1cwC74ygB25wuNHX0AggsAecxACQiUo0BIJEfEdhouQYQAEq8TR59M4Ano8wA5plNkLxNyR06KAOrHgNj8Y2B6bsOMlpHTvZAlj3jefwDZjaBEBGpxwCQyI8IIrTOAAYbBi3LspIRjJQBNBgkFIiBxzpY62Z1xFYCdrll2JzumF6zwbsDyLDSXEiSb0RPAecAEhGpxgCQyI+yD7BG28AJwUbB9DhcSjAUaRA04BsG3dGT/Ayg0gQS5W4p/gF1rNvBNSgdwDkBj+fpKDAmIkoVDACJ/Cj7AGu0DZwQLAMoBkObTYaoMmmiESTZgY7T5YbdG7jmRrlbitEgwWLy/HUT6zpAEQAO8ZsBCLAETEQUCwaARH6UDKDGAWBZkAygfwOIf0kzFDEKJtlrAK1+TSjRzgEEAtcBxkIZAl3aJwBkCZiISDUGgER+fDuBaN0E0n87uFarGAIdufwLAIXZ+sgAihKuQYKS1YtGvKNgxD7Aw0IEgF02Z8wNJkREmYYBIJEfZScQjZtAgq0BbO1SGwCK/YCTnAH0G5UTTeZSUALAGDN19SHWAIoSsMMVe4MJEVGmYQBI5EeZA6j1GJggawBbu1UGgDpZA2hVuQ2cEM9+wB29DrR7A9+hfdYA+gfrLAMTEUWHASCRH2uCmkB8GUBf9k6UgEVwGIle1gCqnQEo5MWxH7BoACnLM/f72RgNknItbAQhIooOA0AiP74xMIkJANusdrjcnnVqogQcaQagoJc1gKIEnBNlB7AgMoCxrAEU6/+G9Fn/J3A7OCIidRgAEvlJVBNIca4neHPLvjV8ShNIvsoMoE7WAKrNkirbwcUQpCkzAEtygn5dCQA5C5CIKCoMAIn8JGoMTJbRoDRxiN0/lDWAUZaA9bYGUG2QHFcGMMQIGIGzAImI1GEASOQly7JvELTGGUCgfyew2iYQvawBjLUEnBfHGBiRAew7AsZ3bgaARERqMAAk8up1uOFdnqd5BhDwzQJs7ZsBTLE1gLE2geQqg6BjKAF79wHu2wEsMANIRKSO9r/lADgcDjQ1NcFqtaK8vBylpaWJeBkiTflvUaY2uxUNUeo92W2Hw+VWxpqozgDqZA1gjspGGd8aQHUZQFmWQ+4DLBRwDSARkSqaZQC7urrwxz/+EQsWLEBRURGGDx+OCRMmoLy8HLW1tfjOd76DDz/8UKuXI9KcWP+XazbCYIh+wHG0RKDXarWjzTsORpKAYpVrALvsTrjdydvxwuqIbQ2grwSsLkg73mmDzemGQQJqioMHgHncDo6ISBVNAsBHHnkEw4cPx1NPPYVzzjkHr7zyCurq6rB3715s27YNv/jFL+B0OnHeeefhggsuwL59+7R4WSJN+TqAE5IY960B7LYr5d/inCwYoww2RQZQloHOJAY6MZeAY2wCEQ0g1UU5yDIG/ytLlICT+X0hIkolmgSAW7duxcaNG/H+++9j4sSJOPPMMzF58mSMGjUKM2fOxI033oiVK1fi2LFjuPjii7F582ZV59+yZQsuuugi1NTUQJIkrF27NuDrsizj/vvvR01NDXJycrBgwQJ89tlnEc+7evVqTJgwARaLBRMmTMCaNWtUXRelF2UbOI13ARGU/YC77TjRbQMQffkXACwmo7L3bmcSG0H8t4JTIzfGDGCoLeD85adhBvBgSzfWf34s2ZdBRGlKkwDwpZdewuTJk2E0GnHNNdfg+PHjQY+zWCz4/ve/j5tvvlnV+bu7uzFlyhQ89thjQb/+61//Gr/97W/x2GOP4cMPP0RVVRXOO+88dHZ2hjzntm3bcNVVV2HJkiXYtWsXlixZgiuvvBIffPCBqmuj9NEdY2ATLf81gCe7PQFcWZ5F1TkKvI0gHT3JC3RiHgOjBGkqM4Ct4RtAgPQcBP39//sI33l2Oz453J7sSyGiNKR5F/DMmTNx4MABTc+5ePFi/PKXv8Sll17a72uyLGPFihX4yU9+gksvvRSTJk3CX/7yF1itVjz33HMhz7lixQqcd955WLZsGcaNG4dly5Zh4cKFWLFihabXTqnD6g0e8hOcAWy1OtDqzQCW5GWpOkdhjrfUqYMMoNq9gGNdAxhpBAzgCwCT3SGtlY5eBz5v7AAA7GsO/Q9ZIqJYaR4A3nnnnbjvvvvQ0NCg9amDOnDgAJqamrBo0SLlMYvFgvnz52Pr1q0hn7dt27aA5wDA+eefH/Y5NpsNHR0dAR+UPhKeAfRbA3hCGQETYwYwiYGONUlrAEMNgQbSrwnEP+t3xDsCh4hIS5oHgFdccQU+/PBDTJw4Eddccw2eeuop7NixA3a7XeuXAgA0NTUBACorKwMer6ysVL4W6nlqn7N8+XIUFRUpH0OHDo3jyklvRGYqUWsA/QPAk0oAqDIDmJ38DGDsTSCxDYJWSsBh1gAWpNkcwLqGNuXPR9sZABKR9jQPAA8cOIA1a9bg7rvvhtVqxfLlyzFz5kzk5+fj1FNP1frlFJIU2Ekpy3K/x+J9zrJly9De3q58DFSWkwaGCB4SvQaw0+ZEU0ev5zGVGcBCZQ1gMkvAnu9TTpbKJhBvYN1td0KWoxtj43C50dge/RpAtesL9co/ADzMDCARJYDmv+lqa2tRW1uLSy65RHmss7MTdXV1+Pjjj7V+OVRVVQHwZPSqq6uVx5ubm/tl+Po+r2+2L9JzLBYLLBZ1v7ApdSj7ACdgGzjAk6UyGiS43DK+Ot4NAChT0QUM+K8BTL0xMGK7NlkGbE43sqMYtn20rQduGbCYDCgvCP3ey7MkPzOqFVmWAwLAI20MAIlIewOyFVxBQQHmzp2L2267TfNzjxgxAlVVVVi/fr3ymN1ux+bNmzFnzpyQz5s9e3bAcwBg3bp1YZ9D6U3ZBzgB28ABgMEgoSTXk8E72OIJAEtUBoC+NYBJzAA6YgsA/XdXiXatnm8ETG7Y7Lx/CTja7KJeNXX04ninTfn8aFtPyt8TEemPJgFgfX29quOPHDmi6viuri7U1dWhrq4OgKfMXFdXh/r6ekiShLvuugsPPvgg1qxZg08//RTXX389cnNz8a1vfUs5x7XXXotly5Ypn//gBz/AunXr8NBDD2HPnj146KGHsGHDBtx1112qro3Sh5IBTFAACAAl3jKw07uTh+oMYHbyM4BKE4jK75PBIClBYLTrAH0jYEKv/wN8JWC37NnTOZXV1bcBAEZV5APw3I8YHE5EpBVNAsAZM2bgO9/5Dv7973+HPKa9vR1//vOfMWnSJLzyyiuqzr99+3ZMnToVU6dOBQAsXboUU6dOxc9//nMAwD333IO77roL3//+9zF9+nQcOXIE69atQ0FBgXKO+vp6NDY2Kp/PmTMHL7zwAlauXIlTTz0Vq1atwosvvogzzjhD1bVR+uiOcb6dGn0HP6sZBA0kPwPodLlhd3oCrNwY9kvO81sHGA3RARxuBAzg+ZmJBGGnLbXLwHWH2wAAM4aXosJb9mYZmIi0pkmqY/fu3XjwwQdxwQUXICsrC9OnT0dNTQ2ys7Nx8uRJfP755/jss88wffp0/M///A8WL16s6vwLFiwIWwKRJAn3338/7r///pDHbNq0qd9jl19+OS6//HJV10LpS9kJJEFNIED8AWCy1wCK8i+gfg4gIBps7CoygJFHwACevwPyzSZ02pzo6nWioiDs4bq2y7v+77ShRdjd2IHmThuOtvXg1CHFSb0uIkovmmQAS0tL8fDDD+Po0aN44oknMGbMGLS0tCh7/n7729/Gjh078N5776kO/ogGijIHMEFjYIDANX+5ZmNUjRD+CizJ7QIWDSAGCcq2dGooo2Ci7NYVAeCQMB3AQl4adAK73LIyA/C0oSUY7C19sxOYiLSmaaojOzsbo0ePxsUXXwyTKXFZFKJEsCa4CQTwjYIBfOsB1SjM8QSAScsA+g3LjjRmKRgRAEZfAo48A1DIzzYBHaldAv6yuQvddhdyzUaMqsjHkGLPfR9t603ylRFRutH8N92UKVNgNpsxYcIETJkyBaeddpry3+LiYq1fjkgzvjEwCWwC8csAluWrDwBFt2uy1gAqMwBjXCcpguueKErAXTan0vwQqQQMpMcsQFH+nTy4CEaDhBpvAHikzZrEqyKidKT5GJh3330XpaWlGDFiBGw2G1atWoVzzjkHZWVlGDt2LH72s5+hra1N65clittANIH4d/2qXf8H+DKAydoKLtYZgIKaDKAo/xbnZikDsMMRAWBXCmcARQPIacOKAQCDlQCQJWAi0pbmAeDtt9+Oxx9/HKtXr8Zzzz2HnTt3YuPGjRg5ciSuu+46vPPOO5g6dSqOHz+u9UsTxaV7IMbA+AeAMZSARQbQ7nSj1zHwmS5rnPslK/sBR5GlUxpAolj/B/gFgEkckRMvMQLmNG/Dh1gDyBIwEWlN8wBwz549mDBhQsBj8+fPxyOPPIKPPvoIGzduxPTp03Hfffdp/dJEMZNl2TcIOpFjYHLjywDmm02+cSdJCHSscWZJVWUAvev/Io2AEfKVYdCpWQLusbuw91gnAGDK0GIAUErArd125XtPRKQFzQPAGTNm4K9//Wu/xydOnIh169ZBkiT86Ec/woYNG7R+aaKY9TrcEJOG1A44VqMkL8vvz+oDQINBUjJdyVgHaI2zBKxmDaDSARxFAwiQ+iXgz462w+WWUVFgQXVRNgCgKCcLBd77OsoyMBFpSPMA8PHHH8eKFSvwrW99C3v27AHg2ZrtkUceQWlpKQCgvLwcx44d0/qliWLmn5GKZcBxtPyzfmp3ARHEerhoM4CyLGu2lZgIAHNi/B7FsgYwU0rAYv/fKUOLAzqsfY0gLAMTkXY0DwAnTpyIbdu2obGxERMmTEBOTg7y8vLw5z//Gb/61a8AADt37kRNTY3WL00UM7EmLddshMGgfrxJtHKyjMr8vFhKwIBfJ3AUswCb2nsx47//hR+9/HFMr9WXVk0gUa0BPBndEGghz5LaJeA6ZQB0ccDjYh3gEc4CJCINJaTWNXHiRGzcuBGHDh3Crl27YDQaMW3aNFRVVQHwZABFMEikB102sbYtsfMrJUlCeYEFh0/2oNy7zZdaamYBrv+8CS1dNry84zCunD4UM0eUxvSagpIBjLMJJFIGUJZlZR9g9WsAU7MEvMvbATylz44fgzkKhogSIKG/7Wpra1FbW9vv8blz5ybyZYlU8w2BTlz5V/jp18bjo/q2fr/oo1WoYhbgBwdalT//+p978NKts2Ma4CxYHfE1gYjvb6St4Fq67OhxuCBJQE1xdlTnLkjhOYAnumxKwHvq0KKAr9VwGDQRJYDmJWCiVNQd53gTNS6YVI37Lhwfc6nZtwYwfAAoyzL+7RcAbj90Ehv3Nsf0mkL8JWDvGJgIAeA+bzdsVWE2LKboXkuUgDttqbcGUGT/TinP6zfzkCVgIkoEBoBEAKzeoCF/ADKA8fKtAQwf6NS3WtHcaYPZaMD1c4YDAH79z71wu2NvCOm2xTsH0NsEEiFIe+rdAwCAs0YNivrcviaQ1CsB1zV49v+d0mf9H8Bh0ESUGAwAiTCwGcB4+XYDCR/oiPLvlKFFuOvc0SjINmFPUyde23U05tfuibMELL6/PWGGWO9qaMPbe5phNEi47exRUZ9bBMapWAIWW8BNDRMANnX0wulyD+BVEVE6YwBIBF9GaiDWAMZLBDqRmkA+9AaAM4aXojjXjFvnnwIA+O36L2B3xhZI+JpA4lsDGC5I+92/9gEAvnHaYAwflKfi3KIJJLVKwLIs+xpAggSAFQUWZBkluNwyjnXaBvbiiChtMQAkgv8+wCmQAfSuEYs0BubfBz0BoOj8veHM4RiUb0F9qxUvflgf02vHOwg6N0usAQwepInsn0ECbj8n+uwf4D8I2hlXmXugHTphRZvVAbPJgHFVhf2+bjBIqPIOhuYwaCLSCgNAIvjm0iVyGzitRDMG5lhHLw6dsMIgAdNqSwB4gts7F3qCqt/968uYthaLuwnErws4WJCmZP+mDsYIFdk/wBcAAoA1Cfskx0pk/ybWFMJsCv5XsrIOkI0gRKQRBoBE8GUA8xK4DZxWCqIYAyO6fyfUFKLAr6v0mzOGYWhpDlq6bFj53kHVry2Cxpys2L5PeX4Z1l5nYJD28WFf9u+Oc0arPnd2lgFGb2d1Ku0GsrO+DUD/+X/+Bhd7ZiGyEYSItMIAkAh+GcAUCACj2QpOBIAzh5cFPG42GfD/zhsLAHhy81dos9pVvXa8GcDsLAPEGMK+6wB/tyH27B/gGbKdn4LrAEUGsO8OIP4Ge2chMgAkIq0wACQC0GWPr7t1IEWzFdyHyvq/kn5fu3hKDcZVFaCz14knNn+l6rVFaTXWZhlJkpS9lv1L0B8fbsO/4sj+CakWANqdbnx2tANAhACQswCJSGMMAIngmwOYlwpNIN41gF324M0ObVY79jR5BinPGN5/6zeDQcKPzvdkAVe9dxBN7dHvMCEypbFuBQcAuUF27FCyf6fFlv0TfLMAUyMA3NvUCbvTjaKcLNSWhd7yTpSA2QRCRFphAEgEvzmAKTQGRpaD73rx4cGTADy7SpTlB99v+JxxFZheWwKb043fv70vqtd1utywe+fQiSxeLESjjZgp6J/9U9v525dvP+DUCADrGjw/qylDi8Nu0VfjVwKW5dTpcCYi/WIASAS/vYBTIANoMRlh8XaLBtsOzlf+Lev3NUGSJPx48TgAwIsfNuBAS3fE1/XvrI11DiDgG7UjMoC/95v7N7I8P+bzAqk3C1DsAHLakKKwx4n9gK12F9qsqbfTCRHpDwNAIqRWEwgApbM32HZwYgeQM0b0L//6mzG8FGePLYfLLeO367+I+JqiAcQgQQlAYyHWWVrtTnxyuB0bdmuT/QOAghTbDk5pABlWHPa47CwjBuWbAbARhIi0wQCQCP6DoPVfAgaAwhyxG0hgoNNtc+LTI56s0owIASAA/Oh8Txbw77uOKs8Lxeq3XV64cmUkYg2g1e7C7/7lCTwv0SD7B/jtNGLX/xzAjl4HvjreBQA4NcwIGIF7AhORlhgAEsFXjky5DGCfZoed9W1wuWUMLs5RAoZwJtQU4pLTagAAv35rb9hjlRmAcQbJYg3gB/tbNc3+AUC+JfKIHL345HA7ZBkYUpKDQSHWavpjJzARaYkBIGU8WZZ9g6BTJQOYHTwD+O8DJwD4tn+LxtLzxsBkkLDli+N467OmkMeJEnC83yOxBvClHQ0APNm/UzTI/gG+JpDuFFgDWNfQBiD8+Bd/NUWeAJCdwESkBQaAlPF6HW6IxsrcFMkAhtoPuO/+v9GoLcvDLfNGAgB+8epnQRtLAF9ZNZ4RMICvzO6WoWn2DwDyvSXgVGgCURsAKhlAlQFgXUMbpv9yPZa/uTul9kgmosRiAEgZr9tvIHE8400Gkm8NoO/abU6Xsq1YsPl/4dy5cDRqy3LR1NGL36wL3hDSo9E6Sf9ROxdPqdEs+wekTglYlmUlAJwSbQAY4xrAtTuPoKXLjj9u3o97Vn8Mp3eUDxFlNgaAlPFEB3Cu2QiDIfbmhoHkWwPoy9Z9crgdNqcbZXlmnFKubphydpYR//2NyQCAv2w7qAQn/qxxbgMniFE7nuxf7Lt+BJMqJeCmjl4c77TBaJAwqSb8CBhBjIJRWwLefqhV+fPLOw7jtuc+Qq9D/00yRJRYDAAp44lyYW4KzAAUfGsAfYGOf/k3li7ds0YPwn9MHQxZBpa98gkcfTJFIgDMiTNLOtIbnF56+hCMqtAu+wekTgl4lzfAHltZEHVTzRBvCbilyx51ANdlc+Jz71Zz/3XJRJiNBrz12THc9JcPdR8kE1FiMQCkjKcMgU6BXUCEYBnAf3vn/6kt//r76dfGozg3C7sbO/DMuwcCvtajUQbwwknVWHvbmfjVpZPjOk8wogSs9wBwp8ryLwAU5WQp3/tos4B19W1wy57y8ZLZw7HqhhnIMxvx3pcn8O2nPkCb1a720okoTaRFADh8+HBIktTv47bbbgt6/KZNm4Iev2fPngG+ctKDbr/5dqmi7xpAl1vGDu8WcGoaQPoqy7fgvgvHAwAe2fAFGlqtytesGjWBGAwSThtaDJNR+79+8lIsAzhVRQAoSZLqdYBiV5gZw0sAAHNGDcL/fWcWinOzUNfQhqv++D6aO6LfC5qI0kdaBIAffvghGhsblY/169cDAK644oqwz9u7d2/A80aP1nY9EqUGqzdYyE+lDKAlsAt4d2MHOm1OFFhMGF9dGNe5r5g2BLNGlqLX4cZP136q7D1rdeh/WLb4vnQloAnkeKcND76xG18c64zrPE6XG58c9gzdVpMBBNTPAhTr/6b7ZYVPG1qMv313NioKLNh7rBOXP7kN9SesoU5BRGkqLQLA8vJyVFVVKR//+Mc/cMopp2D+/Plhn1dRURHwPKNRv7/YKHFSMwMY2O0qyr/ThpfAGGcjiyRJePA/JsNsMmDzF8fx948bAfhtl6fjAFA0gfQ4XHBpOPLE5ZZx+3Mf4U9b9uO//vF5XOfacegkuu0uFOdmqV4DqaYRxOlyK13h070ZQGFMZQFWf28OhpXmor7Visuf3Iq9TfEFtkSUWtIiAPRnt9vx17/+FTfeeGPEhfBTp05FdXU1Fi5ciI0bN0Y8t81mQ0dHR8AHpT6xGD611gB6Ah2xBvDDGOb/hTOyPB+3n+2Zz/eff/8M7VaHZiXgRPL/GWpZBn5i05fKHsvv7z8RsPZSrX/taQYAnDO2QnWwLkrAh6MIAHc3dsJqd6Eg24QxFQX9vj60NBcv3zobYysL0Nxpw5V/3Ba0+5uI0lPaBYBr165FW1sbrr/++pDHVFdX409/+hNWr16NV155BWPHjsXChQuxZcuWsOdevnw5ioqKlI+hQ4dqfPWUDL59gPUb2PQlMoAdvU7IsqxkAGfG0QDS163zT8Goiny0dNnxq3/uRk8KlIAtJiPM3rWFWgWAOw6dxCMb9gHwdEA7XDK2fHE85vNt+PwYAGDh+ErVzx2iogQs/lEwvbYk5HijisJsvPjdWThtaDHaexz4f3+rU31NySTLMv72YYOyppKIopd2AeDTTz+NxYsXo6amJuQxY8eOxXe+8x2cfvrpmD17Nh5//HF87Wtfw8MPPxz23MuWLUN7e7vy0dDQoPXlUxK0e9fRFXmDqlQgMoB2pxu7GztxotsOi8mAyUOimykXDbPJgOXeTt3n/92Ajw61AYh/L+BE03IWYEevAz94YSdcbhmXnFaDa2fXAgDWe4M4tb463oX9Ld3IMkqYN2aQ6ucrJeD2yAHgjkOepqDpEf5RUJxrxl9umAmjQcJXx7sDGn/0bndjJ+5Z/TGWpljgSqQHaRUAHjp0CBs2bMDNN9+s+rmzZs3Cvn37wh5jsVhQWFgY8EGpr63bEwAWp1AAmG82Qaxw+NduTzBy2tBiWEzaBmczhpfi6pmeTHeTt1tUzxlAwFcGjnc3EFmW8dM1n+LwyR4MLc3BL78xCedN8GTtNu5p7jcnMRriZzVrZJkyykcNUQJubOsNu8ZRluWADGAkRblZypZ0W79qUX1dyXL4pCdYrW+1cps7IpXSKgBcuXIlKioq8LWvfU31c3fu3Inq6uoEXBXpXVuPZxZacW7qBIAGg4R8777FG7xrys7QaP1fX/deMB6D8i3K53oPALWaBbj6oyN4bddRGA0SfvfNqSjIzsLUYSUoyzOjo9eplN3V2PC552d1bgzlXwCoKLDAaJDgdMto7gw9vqWhtQfNnTZkGaWoO43PHOXJSL775YmYri0ZTnR73rsOl4yTnGlIpEraBIButxsrV67EddddB5MpcC3XsmXLcO211yqfr1ixAmvXrsW+ffvw2WefYdmyZVi9ejVuv/32gb5s0oE2qzcDmGtO8pWoU+jNIIn1TzMSFAAW5Wbh5xdNUD7PydL3WkkxzieeEvCBlm78/NVPAQBLzxuD04d5smhGg4RzxlUAUF8GPtltV8ayLBxfEdN1mYwGVBVmAwjfCSxeZ9LgImRHuXPLWd4AcOuXLSmTTWvptCl/buI8QyJV0iYA3LBhA+rr63HjjTf2+1pjYyPq6+uVz+12O+6++26ceuqpmDt3Lt599128/vrruPTSSwfykkknfAFg6mQAAd86QMATmIggJREuOrUaV04fgpGD8jBpsL6XPojMaKyzAO1ON+58fiesdhdmjSzFrfNPCfi6KAOv//yYMiMxGhv3NsMtA+OrCzGkJDemawN8swAPh2kE+dA7FFzNrjCnDS1GrtmIE9127EmRkTAiAwgAxxgAEqmi73/Kq7Bo0aKQfxmvWrUq4PN77rkH99xzzwBcFaUCpQSck2IZQL81i5MGFyHPkri3syRJ+PXlUxJ2fi3lZ8dXAv7Nur345Eg7inOz8MhVp/Ub1TJ3dDksJgOOtPVgd2MnJtREFxBv8K7/OzfG7J8wWJkFGDrg2a5i/Z9gNhlwxohSbNx7HO992RL1fSVTS5dfBrDdFuZIIuorbTKARLFK1QxgoV8GcObwxGX/Uk1+HNvBvbuvBX/csh8A8NBlp6K6KKffMTlmI+aO9pRLoy0D25wubN7rGR0T6/o/wbcdXPBu3TarHfuauwAA01QEgID/OsDUaAQJCACZASRShQEgZbRehws2p6ebM/UCQN/1zhxRlsQr0RelBKwyADzRZcMPveNEvn3GMJw/sSrksaIMLLJ6kXywvxXddhcqCiyYPDi+UT2RtoMT419GluehzK95JxpneQPbfx9ohc3piuMqB8aJLr8ScDsDQCI1GABSRhOdg0a/rtpU4b8GUE2pL93F0gUsyzJ+9PLHON5pw+iKfPz0axPCHn/OuEpIEvDJkXY0RjGTTwSKC8dXhBzKHK2aCCVgZf1frfqmoLGVBRiUb0aPw6VsI6dn/msAmQEkUocBIGU0pfybkxVx60C9EWsAx1YWoCQvtdYvJpKYA6imCeTFDxvw9p5mmE0GPPqtqRGHXZcXWJSmmw0RysCyLCvHxFv+BfxLwD1B1z3vOOTbF1otSZKUMvB7Oi8DO13ugNEvbAIhUocBIGW0VF3/BwCnlOcDAM6Js6kg3RTEsBPIW581AQDuOHsUxlVF1/wgysDrIgSAuxs7cbS9F9lZBiW4ikdNsWcMTJfNiY6ewHvsdbiwq6EdgLoOYH+psg6w1WqHf/zLDCCROgwAKaO1WcUQ6NTLoF1yWg1ev/Ms/PDcMcm+FF0R3dCdKgLAQ97tz05XUUoX2bz3959AZ68j5HGi/HvWqPKoZ/KFk2s2odSb8T3SZxbgp0faYXe5MSjfjOFlsY2aEQHgx4fb0RHmvpJNrP+zmDy/xtqsDvQ69L9ukUgvGABSRmvrSb1t4ARJkjCxpghmE9/G/tTOAXS5ZRxu9QRSw0qjD5pGVeRj5KA8OFwyNn9xPORxIgA8b4J2mVr/MrC/7d4GkGm1JTEvaRhcnIORg/Lgcsv4YL/63U4GiugAHl6WpwSBLAMTRY+/OSijpeouIBSaUgK2RxcANnX0wu5yI8soKQ0W0fIfCh3MsY5efHy4HZLkaRzRiigDHzkZOApGzP+LtfwrpMI6QJEBHFRgRlWR5/vRxE5goqgxAKSM5isBp14GkILLU5kBPNTSDQAYWpLbb+hzJCIA3LinGQ6Xu9/X/7Xbs/fvlCHFKC9QN5IlnMHFnkzlUb+Ax+2WlQzg9LgDQM9YIT2vAxQZwLI8Cyq92+Md6+QwaKJoMQCkjObfBUzpIV/lGkCx/m9YDGvmpg4rQVmeGR29Tnx4oH+51Ff+1S77BwSfBbi/pQttVgeyswyYGOcuHrNHDoIkAV82d+k2q9bizQCW5ZuV/ZE5C5AoegwAKaMp28BxjEraKPDOAbQ73bA7+2fl+jp0whMA1qpY/ycYDRLOGedZ29e3G9hqdyoZNC3Gv/gbLErAfmsAxfy/04YWI8sY31/tRblZONU7sFqvZeAT3gzgoHyLrwTMNYBEUWMASBntJDOAaUfMAQSiGwVT3+opAQ8ry4vp9fzXAfrP5Xt3XwvsTjeGluZgTGV+TOcORZSAAwNAbdb/CXpfB9iiBIBmpQTMAJAoegwAKaO1p/AcQArOZDQgO8vzV1s0u4EcbPFkAGMdmzJ3dDksJgOOtPVgT1On8riy+8e4Ss2HjIsmkOOdNmX0yQ6/DmAtnOU3DzDYwOlkE7uAlOVZWAImigEDQMpoogRcwi7gtBLtfsCyLKPeuwawNsYAMMdsxFzvHrqiG9jtlvH2Hk8DiNbr/wCgNM+sBLlN7b1o7ujFoRNWSJK6WYbhnF5bAovJgOZOG75s7tLknFrydQFbUFnoabBhBpAoegwAKaOJJpAiloDTSrQBYGu3HV02JyQJGFISWwAI9B8HU3e4DS1ddhRkmzBzhDYlWX+SJAXMAhTdv+OqClGYrc3/y9lZRuXa9dYNLMsyjitdwL4ScHOHTZfZSiI9YgBIGavH7oLN2yTAEnB6yc+OLgAUHcBVhdlx7dJxzrhKSBLwyZF2NLb3KHv/zh9THndDRihiZuGRkz3Y7m0Ama5R9k/Q6zrALptTafAZlO8bA2N3udHabQ/3VCLyYgBIGUuUf00GSckYUXrIM0c3C/DQCU8DSKzlX6G8wILTh3mCrw27mxM2/sXfkBL/DKCnAWT6cG0DQLEO8P39rUHnHCaLKP/mmY3IMRthNhlQ5u3kZxmYKDoMACljtfk1gGi9SJ+SqyDaDKAyAia2DmB/Ith7dutBfHGsC0aDhAVjtNv+rS9RAv6yuQufHe0AoF0HsDChuhDFuVnosjnx8eE2Tc8dD2UIdL5vuLYyDJoBIFFUGABSxjrp3QWE6//Sj8joRhoDU38i9iHQfYlZf/u8DRMzhpegKIFLC0QJ+O09zXC5ZdQUZaveyi4Sg0HCmad4u4H3ndD03PEQQ6AH5fuat3zbwXE3EKJoMACkjNXOfYDTltgOrjNSCTjODmB/oyryMXKQL5Oo9fDnvkQGsMc7Bibe7d9CUdYBfqWfdYAnukNnAFkCJooOA0DKWG09ngCwhA0gaUc0gUTKAGpZAgYC1/wlcv0fgH7Zvhkar/8TxDrAnfUnI34/7U43HvrnHtz8l+04mcBmjJbOIBlAzgIkUoUBIGUsXwmYGcB0k2+OvAawy+ZU1pJpUQIGgK+fWgNJAk4dUoTaGHcWiVZVUTYMfktXp9UmJgM4rCwXQ0tz4HDJ+PfB/vsdC0fbenDlH7fhiU1fYcPuY3hs45cJuR7AlwEc5JcBrCry/PlYZ+ICwD1NHVj6Yh2amWWkNMAAkDIWdwFJXyID2BkmABTr/0pyszRbBzp5SBFeu+0sPHXddE3OF06W0aBkvQosJoytKkjYa4ks4Hv7gpeB393Xgq8/+i7qGtqQ4x2n87/vH0Jje0/Q4+PV4jcDUFBKwAnMAD705h68svMInt12KGGvQTRQGABSxhJdwCwBp59omkDi3QM4lMlDilBRkK3pOUMRZeDTa0tgNCSuk/1Mv23h/LndMh57ex+WPPMBWrvtmFhTiLfumoeZw0thd7rx6NuJyQKKJpCygAxgYruAex0uvL/fkwHd19wZ4Wgi/WMASBlLKQGzCSTtKDuBhGkC8a3/06b8mwynlOcDAGaNLEvo68zxdgLvaerE8U5P9q3d6sDNz27Hw+u+gCwD35wxFKu/NwfDynJx9/ljAQB/+7BBybRq6URXkBKwNwN40upQ9kfW0vaDJ5WGm3063BqPSC0GgJSxRBNIMcfApJ1odgI56A1Mhmu0/i8ZfnjeGPz86xNww5nDE/o6pXlmTKwpBABs/aoFnx5px9cfewdv72mGxWTAry87Fb+67FRlN5WZI0oxb0w5nG4ZKzZ8ofn1BBsDU5STBYvJ8yutuUP7UTBb9h1X/nzohFXZiYQoVTEApIzVrpSAmQFMN9HsBZyoEvBAqirKxo1njYhrG7toiXWAj2/8Cpc+sRUNrT0YVpqL1d+bgytnDO13/N2LxgAA1tQdwb5j2pVM7U432r3/ePPPAEqSlNBRMFu+8AWALreMg95dZIhSFQNAylhiKzg2gaSfaAJApQScwhnAgTTHGwDuPdYJu9ONc8dX4O+3n4VJg4uCHn/qkGKcP7ESsgz8dr12WUCxdMNokPo171QlKABsau/FnqZOSBIwwjvr8csEl4Hdbhm3PLsdS57+QFfb8FH6YABIGUmWZZz0ZgC5E0j68Z8DKMtyv6/bnW4cbfN0qKbyGsCBNHN4KQqyTTBIwD0XjMWflkyPuNPJ/1s0FpIEvPlpEz490q7JdYg1iKV5Zhj6NL5UFiVmFqAo/546uAjTaj3zFvcdS2wAuGH3Maz7/Bje2deCuoa2hL4WZSYGgJSReh1uZQ0PM4DpR+wE4nDJsAVZq3X4pBVuGcjJMqK8wNLv69RfjtmItbediTd/MA/fXzCqX/AVzJjKAlwypQYA8PC6vZpcx4lusf6v/8+tqtDzmNYZQFH+nT+mHKMrPI03Xx5PbAD4py37lT+/E2L8DlE8GABSRhLlX5NBUsqFlD7yzL6fabAysP8WcJKUuPEp6eaU8nzV8wbvOncMjAYJm/Yex/Ywg6Sj5esA7r92NxFrAF1uWRl/M29MOUZ5A0At1zX2tePQSWw/dFL5/L0vGQCS9hgAUkY62e0bAs0AIP0YDRLyzJ7GiGCzAMVokmEs/ybc8EF5uHL6EADA/7y1N2hJXo1gQ6CFqgSUgD8+3IY2qwMF2SacNrRYCQD3t3TD5Y7vXkL505avAPgab+oa2tDR60jIa1HmSosA8P7774ckSQEfVVVVYZ+zefNmTJs2DdnZ2Rg5ciSefPLJAbpa0gORAeT6v/QlysCdQWYBsgFkYN1xzmiYjQZ8cKC13zBptU50hSsBa58B3PKF53rPPGUQTEYDhpTkwmIywO50o6FV+xmH+493Yd3nxwAA9188AcPLcuFyy3j/qxOavxZltrQIAAFg4sSJaGxsVD4++eSTkMceOHAAF154IebOnYudO3fivvvuw5133onVq1cP4BVTMnEETPoLNwvw0InUHwGTSmqKc/DtWcMAAA/HmQU8LjKAQQJAUQJu7rDFnWkURAPI/LHlADzZ5ZHeAdyJ6AR+6t0DkGVg4bgKjKooUHZhYRmYtJY2AaDJZEJVVZXyUV5eHvLYJ598EsOGDcOKFSswfvx43Hzzzbjxxhvx8MMPD+AVUzKd5D7Aaa8gzHZwYg1gKg+BTjXfXzAKOVlG7DrcjvXeDFcsTijbwIVeA2h3uZX3eDzarQ7srPesxZs3xvc7JVGNIC1dNry84zAA4JZ5IwEAc0d7AsB3GACSxtImANy3bx9qamowYsQIfPOb38T+/ftDHrtt2zYsWrQo4LHzzz8f27dvh8MR+i8Nm82Gjo6OgA9KTb4SMDOA6SovxCxAt1tGvWgCKWUGcKCUF1iUHUt+u/4LuGNcP3ei25MBLA+SATSbDMrawCYN1gG+91UL3DJwSnkeBnv3XQbg1wiibQD47NaDsDvdmDK0GDNHlAIAZp8yCAYJ2H+8WxldRKSFtAgAzzjjDDz77LN466238Oc//xlNTU2YM2cOTpwIvmaiqakJlZWVAY9VVlbC6XSipSX0v7KWL1+OoqIi5WPo0P7T7yk1+ErAzACmq1DDoI919sLudMNkkFBTnJ2MS8tY3513CgqyTdjT1Im/f3w0pnO0dIbOAAK+LOAxDdYB+sa/VAQ8nogMoNXuxLPvHwIAfHfeSKU5rSgnC6cOKQaAuNdPEvlLiwBw8eLFuOyyyzB58mSce+65eP311wEAf/nLX0I+p2/np1gvEq4jdNmyZWhvb1c+GhoaNLh6SoY2loDTnhIA9mkCOdjiyf4NLsmByZgWfwWmjKLcLNwy11PaXLFhH5wqd7iQZVnJAAZrAgF8ncDxNoLIsqwEgPPGDAr4msgAftXcpdlaw5e2H0ab1YHaslycPzGwiVF0A7/LeYCkobT82y8vLw+TJ0/Gvn37gn69qqoKTU1NAY81NzfDZDKhrKws5HktFgsKCwsDPig1ie2kitgEkrZCNYGIPYBr2QCSFDecNQKleWYcaOnG6580qnpuR68TDpcn4CoNMgYG8JsFGGcJ+MvmLhxt74XZZMAZIwJ/L9SW5cFkkNBlc2rScex0ufHUu55lSzefNQLGPkO2zxrtawSJtXRO1FdaBoA2mw27d+9GdXV10K/Pnj0b69evD3hs3bp1mD59OrKymBHKBG3ezeSLOQYmbYUqASsjYDgDMCnyLSb8x9TBAKB6izMxA7DAYkJ2ljHoMVUalYA3e7N/Z4woRY458LXMJoMyQkiLdYD//KwJDa09KM0z4/Jp/ZcWnT6sBDlZRpzotmNPU2IGUP/7QCvOfngT/nfbwYScn/QnLQLAu+++G5s3b8aBAwfwwQcf4PLLL0dHRweuu+46AJ7S7bXXXqscf+utt+LQoUNYunQpdu/ejWeeeQZPP/007r777mTdAg0wjoFJf3khSsD+u4BQcijDlI93q3qeMgMwzPZ9lRptB7fFW26dPyb4RInRFZ4dUeIdBSPLsrLt25JZtf2CTcATcJ4x0tMU8u6Xx+N6vWC+bO7Cd57djgMt3fjvN3Zr0kBD+pcWAeDhw4dx9dVXY+zYsbj00kthNpvx/vvvo7a2FgDQ2NiI+vp65fgRI0bgjTfewKZNm3Daaafhv/7rv/D73/8el112WbJugQaYKAFzDWD6KghRAlZmADIDmDQjB3nK7wda1AaAoXcBESqL4i8B9zpc+GC/p4lwXogAUOkEjjMAfH9/Kz4+3A6LyYBrZ9eGPE6sA9R6X+CWLhtuWPVvtHurIr0ON367Xpt9m0nf0mIT1BdeeCHs11etWtXvsfnz5+Ojjz5K0BWRnsmyrJSAuRNI+hL7AfsHgLIsKyXg4YO4BjBZxCDlwyetsDldsJiCl3P7UraBC9EBDGhTAv7gQCtsTjeqCrOVjt++/BtB4iG2fbti+pCgw62FuaPLAezGhwdb0etwhSyBq9Fjd+Gmv2xHQ2sPasty8bOvTcDNz27HSzsO44YzR2B8Nde5p7O0yAASqdHrcMPu9HQfloTJJFBqC9YE0mZ1KFvDMQOYPIPyzSiwmOCWfWsyo9ESZhs4QQSAJ60O9DpcMV2fb/xLecjJEL4MYOxr8r441omNe49DkoCbzxoZ9tgxlfkoL7Cg1+HGR4dOxvyagsst464Xd2JXQxuKc7Ow8voZOHdCJb42uRqyDCx/c0/cr0H6xgCQMo4o/5oMEvKCrLeh9BBsJxCx/q+y0KJJBoViI0kSRpZ7MrBq1gG2hNkGTijOzYLZ5PnV1txhi+n6NivjX0LvKHVKeT4kyRNoitK0WmLt3wUTqyJmpCVJ8pWBNZgH+OAbu/HWZ8dgNhrw52unK1nZey4YiyyjhC1fHFcCYUpPDAAp4/jPAAw395FSW7AmELH+jzuAJJ8IOPa3RF9CVZpAwpSAJUlSsoCxNIIcbevBl81dMEi+dXfB5JiNGFLi2R0klkaQpvZevFp3BIBv27dIztJoX+BV7x3A0+8eAAA8fOUUzBheqnyttiwPS2YNB+AJEl0xjJ3psbuUNYWkXwwAKeOIbeCK2QGc1kQJuNM/A+gtNw5jB3DSjRikPgMYaQi0EM86QJH1mjK0GEURmsRGlcfeCLJq60E4XDJmDi/F1GElUT3nTG8A+MmRdpzstqt+TQBY91kTHvjH5wA82b6Lp9T0O+aOc0ah0Ltjy+qPDqs6f0OrFQt/swlT/3Mdvv3U+3jug/qYM6SUWAwAKeMoGUA2gKQ1/xKw2K1BaQBhAJh0ogSsphNYrAEM1wUM+DqBYwoA9/nW/0UyujK2UTBdNif+7wPPtm/RZv8Azy4noyvyIcvA1q+Cb3Uazq6GNtz5wk7IMnD1zGH43vxTgh5XkmfG7eeMAgD8Zt1e9NijW0vZ3NGLa57+AEfbe+GWgfe+PIH71nyCmQ/+C0ue/gAv/Ls+5sCVtMcAkDIOt4HLDKIE7JaBHm8zgNgFZBh3AUk6XwYw+uBJrAEMNwcQAKrELECVo2CcLrcyZiXc+j9BZADVBoAb9zSjs9eJ4WW5OGdcReQn+BG7gqjdF7ih1Yqb/rIdvQ435o8px39dMjHsEphrZw/HkJIcHOuw4al39kc8f5vVjiVP/xuHTlgxtDQHq783B/dcMBaTBhfC5Zbxzr4W3PvKJ5j+3xuw5OkP8OKHDAaTjQEgZRyWgDNDrtkI8ftNdAJzFxD9EAHgSasjqkDA5nQpHdyD8sIHgJUxrgHcdbgNnb1OFOVkYcqQ4ojHj6qMLQB8e08zAOD8SVUwGNStQ56rBIDRN2i0Wx24YdWHaOmyYXx1If7w7dMj7oOdnWXEPReMAwA8ufkrHO8MXcbttjlx/coPsfdYJ8oLLPjrTWdgWm0Jvr9gFP5xx1xsunsBfnT+WEys8QWDP179CWb/6l9Y91lTyPNSYjEApIzTzhJwRpAkCflmXyOI1e5Es/eXGHcBSb5cswk13lLt/ijKwKIBJMsooTAn/AjbqhhLwJu/8GTVzho9qN9+vMGIUTBNHb3o6I2u6cHllrFxrycAXDiuUtX1AcDMEWUwGSQ0tPYoTU2RXu+OF3biy+YuVBVm45nrpyvbJEZy0anVmDKkCN12F1Zs+CLoMTanC7f873bUNbShKCcLf73pjH77bA8flIfbzh6F1++ci43eYHBsZQF6HW587/8+wtqdR6K6HtIWA0DKONwFJHP4zwKs946AKcrJYvZXJ0aUR18GPqGs/7NE7N6PtQtYjH+ZPzpy+RcACrOzUOEtR0c7EPqj+pNoszpQnJuF04cVq7o+wLOX8uneppFoysCPrP8CW744juwsA56+fjqqi3Kifi1JknDfheMBAC982IAv+8w8dLrcuPP5nXjvyxPINRux6oYZGFtVEPacI5Rg8CxcevpguNwyfvi3OmVNJA0cBoCUccQawCIGAWlPZDq6bE5f+ZfZP90YOUiMgomcyWrpjrwLiFCpdAHblAagSE522/Hx4TYAwNwxoce/9DW6Ul0n8L92e7J/C8aURyzDhqKsA4ywLdxbnzXhsY1fAgAeuuxUTKwpUv1aZ4wsw3kTKuFyy/iV33Bot1vGva98EjBLMNpuZgAwGQ14+PIpuHZ2LWQZ+MmaT/HHzV+pvj6KHQNAyjhiG7gSZgDTnv8swHoxAobr/3RD6QSOYhRMS2fkIdBChbcJxO5046Q1utLsu1+2QJY9O26oyZKJRpBoM4Bv7zkGADhnvPryryDGwWz96kTIOX1fHe/C//vbLgDAjWeOwCWnDY759e5dPA5Gg4QNu5ux7asTkGUZv3x9N17ecRhGg4RHvzVVuSY1DAYJD1w8Ed9f4OlGXv7mHvxm3d6og3aKDwNAyjhtogScwwxguivwKwEfFEOgmQHUDaUTOIph0Ce6Iw+BFiwmI0q9o2Ki7QT23/5NjVEqRsE0tFrxxbEuGA1S1GXmYKYMKUJBtgntPQ58eqS939e7bE7c+r870GVzYuaIUiy7cFzMrwV4dj359hnDAHiGQ//uX/vwzHueQdK/vuxUnD+xKuZzS5KEey4Yh3suGAsAePTtL/HA3z+HO4YB1KQOA0DKOBwDkzny/WYBijWA3AVEP07xZs8OnrBG3HFCZAAjDYEWKlUMg3a63Epn7vwx6sayqBkGLV5jem1JxCHT4ZiMBsweWQag/zpAWZZxz8u7sK+5C5WFFvzhW6cjK8ZSs78fLByNfIsJnxxpx4oN+wAA9180AZdNGxL3uQHg+wtG4b8umQjAMyT7x6s/jmkXEooeA0DKKLIsKyVgBoDpT5SAO7kGUJdqinNgNhlgd7pxtK0n7LEiAxhpCLSgzAKMIgDc+tUJnOi2ozTPjDNGlkY83p9YA9hw0opeR/iByRt2e8q/C8erCzKDEesA39kXOA7mT1v2441PmpBllPD4t6ehPMLMxGiV5VvwvQW+wdE/PHcMrj9zhCbnFpbMHo7fXDEFBgl4acdh3Pn8Ttidbk1fg3wYAFJG6XG4lL9Q2Ama/kQGsN3qwBFvgNF3RAUlj9EgKbuyfBWhE1gZAh1lBlCMgommBPz3XUcBAIsnVanOlpXlmVGcmwVZDn8PXTYnPtjfCgBYGMf6P0HsC/zRoTZY7Z75iO992YKH/ulp1PjFRRMxrTb6poxo3HTWCFx2+hDcc8FY3LlwlKbnFi6bNgSPf3sazEYDXv+kEbf87/aIgTXFhgEgZRRR/jUZJOSZjUm+Gko0EQDuaeqEyy3DYjIoYztIH0QncKQt4ZRt4KJYAwhEXwK2OV34p3cYcbB9cSORJAmjKyIPhH53XwvsLjeGl+Vi5KD4/xEyYlAeBhfnwO5y498HWnGkrQd3PL8Tbhm4YtoQZc2elrKzjPjNlVPw/QWjIo7iiccFk6rw1HXTkZ1lwKa9x3H3S7sS9lqZjAEgZRTf+j9zQv8CI30QcwA/b+wA4OkAVrvzAiWWbxZg+ADwhNoMYJQB4Oa9x9HZ60RloQUzhqsr/wqjoggAle7fcZWa/N0jSRLOHOVZB/iv3c343l93oLXbjsmDi/Bf35iU8n+/zRtTjv+96QwMK83FnQtHJ/ty0hIDQMoobRwCnVFEBvC4sgMIy796MzKKTmC3W0ar0gUcZROIKAF3hN7CDAD+/nEjAODrp9bE/I+DURXhO4Hdbhlv7/Gs1dNi/Z9wlreT+H/fP4SPD7ejJDcLT1xzOrKz0qO6MWN4Kf71/+ZjTGX44dIUGwaAlFGUBhBuA5cR+m55xQYQ/Rnp7aINNwuwvccBp7cjtDTqJpDIGUCr3YkNn3syc7GUfwWRAQzVCfzxkXa0dNlQYDHFnGUM5sxTypQ/GyTg0atPx5CS9Pp/XIsOZgqO31nKKP4lYEp/DAD1T2QAj7b3Ks0MfZ3w7gJSlJMFsym6X1siAGzttsPmDN5EsGF3M3ocLgwrzcWpQ9TvkiGIAPBgSzccrv5dq297u3/njSmP+vqjUZZvwVTvdnI/On+c0hlMFA0GgJRR2npYAs4kYg2gwF1A9Kckz6zsyhOqEURtAwjgeY+LYKs5RBlYdP9eNKU6rjVzNUXZyDMb4XTLOHSi/z38yzv/75xx2pV/hT9863SsumEGbp0/UvNzU3pjAEgZRckAsgScEfpmAIdzDaAuKWXgkAGgtwEkL/oObkmSlCxgsFmA7T0ObN7rWZd38ZTYt0kTr3VKiEaQxvYefHa0A5IELBgb++4fodQU52DB2IqUb/qggccAkDIKm0Ayi38AaDRIGFwS/R6vNHCULeFCrAM84c0ADipQt3RDCQCDzAJ867Mm2F1ujKnMx9iq+JsMQnUCi90/pg4tjmofY6KBwgCQMgrXAGaWPL8AsKY4mwvKdWqkMgomeBOFGAFTpiIDCAAV3t1AgjWCKOXfU2Nv/vAXqhHk7d2eAFCL4c9EWuLfhpRRuA9wZinwWwPIPYD1K9Iw6OMxrAEEQmcAW7ps2PrVCQDARXF0//obHWQUTI/dpezVm4j1f0TxYABIGUVpAslhBjATWEwGmLyz3YaxA1i3RvoNg5Zlud/X1Q6BFpTt4PpkAN/8pBEut4xThxRhuAa7cgC+DOBXx7vg9o6s2fpVC2xONwYX52CcBmVmIi0xAKSMwgxgZpEkSSkDD2cAqFu1ZbmQJKDT5sTxrv4du759gNX9wy3UdnB/3+UZ/qxV+RcAhpbkwGwyoNfhVvad9u/+ZZMG6Q0DQMoYsiwzAMxAohFkGEvAumUxGTHE26ATbCD0CZW7gAjBMoCN7T3498FWAMDXp1THdL3BmIwGZabhvuZOyLKsrP87R8PdP4i0wgCQMkaPwwW7d0grm0Ayx3kTKlFdlI2ZI7TbgYG0J9YB7g+yDvCEsgZQZQCoZABtSmn5H97s38zhpagu0rYr3L8T+PPGDjR19CIny4jZI8siPJNo4DEApIwhsn9ZRgl55vTYK5Miu//iidh67zlRbyFGyRGqE7jX4UKXzbNDiNomENEFbHe6lff/3z/2dv+epl35V1A6gY91Kdm/M0cNSpu9eSm9mCIfQpQeTnpnABblmLkeJ8Pw561/onzatxNYrP8zmwwosKj7lWUxGVGaZ0Zrtx1NHb1o73Hg48PtMBokLJ5Upc2F+1EygMe78IW3G/hcln9JpxgAUsZo5/o/It0Su4H0HQatDIHOi+0fbpWF2UoA+OnhdgDAnFPKVK8njIYYBbO7sQO9Ds9yk7M5/oV0Ki1KwMuXL8eMGTNQUFCAiooKfOMb38DevXvDPmfTpk2QJKnfx549ewboqmmgtfVwGzgivRIl4PpWKxzetbqALwMY6y4aVWIYdHuvUv69WKPZf30NH5QLgwQl+Js8uEjpRCbSm7QIADdv3ozbbrsN77//PtavXw+n04lFixahuzv4UFF/e/fuRWNjo/IxevToAbhiSgbuAkKkX5UF2cjJMsLpltHQalUeVzKAKtf/CaITeMu+4/jiWBfMRgMWTdS+/At4Ss7++01z+DPpWVqUgP/5z38GfL5y5UpUVFRgx44dmDdvXtjnVlRUoLi4OIFXR3pxkvsAE+mWwSBhxKA8fN7Ygf3Hu5WScEt3fBlAkYH756dNAID5Y8tRlMAqwCkV+Uon80Ku/yMdS4sMYF/t7Z51HqWlkcc+TJ06FdXV1Vi4cCE2btwY9libzYaOjo6AD0od7SwBE+maKAP7N4K0dMa2DZwgRsF4N+dIWPlXGO1tBCkvsGBSTVFCX4soHmkXAMqyjKVLl+Kss87CpEmTQh5XXV2NP/3pT1i9ejVeeeUVjB07FgsXLsSWLVtCPmf58uUoKipSPoYOHZqIW6AEafNmAEs4DoRIl0Qn8P4W3yiYE94MYHmcGUAAyMkyJjwr59n1A7h65jAYDOw+J/1KixKwv9tvvx0ff/wx3n333bDHjR07FmPHjlU+nz17NhoaGvDwww+HLBsvW7YMS5cuVT7v6OhgEJhCTnrXACay/ENEsRNl36/8OoF9TSCx/cPNPwA8d0Ilcs2J/bU3fXgpPrn/fORy9h/pXFplAO+44w689tpr2LhxI4YMGaL6+bNmzcK+fftCft1isaCwsDDgg1IHx8AQ6duIILMAfU0gMXYBF/kCwESXf4V8i4nZP9K9tMgAyrKMO+64A2vWrMGmTZswYsSImM6zc+dOVFdrtzck6Utbj7cEzC5gIl0SawCPd9rQ2etAQXYWWsQ2cHmxBYAluVk4c1QZOnudmDdmkGbXSpTq0iIAvO222/Dcc8/h1VdfRUFBAZqaPN1eRUVFyMnx7PW4bNkyHDlyBM8++ywAYMWKFRg+fDgmTpwIu92Ov/71r1i9ejVWr16dtPugxGIJmEjfCrKzUF5gwfFOG/Yf78akwUVo9a4BjHUMjCRJ+L+bZ2l5mURpIS0CwCeeeAIAsGDBgoDHV65cieuvvx4A0NjYiPr6euVrdrsdd999N44cOYKcnBxMnDgRr7/+Oi688MKBumwaQLIsswRMlAJGDMrD8U4bDrR0Y0hJjtK9y72cibSVFgGgLMsRj1m1alXA5/fccw/uueeeBF0R6U2PwwW7d3cBloCJ9OuU8jz8+0Ar9h/vwoQazzrrktwsmIxptWSdKOn4jqKMIMq/WUYJuWZ25xHp1chB3k7glm60dMY3BJqIQmMASBlBzAAsyoltQ3kiGhhKJ/DxbrR0x7cNHBGFxgCQMgLX/xGlBv/dQI4zA0iUMAwAKSO0ebeBK2EASKRrQ0tzYTJI6HG48NlRz7aeg9gAQqQ5BoCUEU76lYCJSL+yjAYMK80FAHx4sBVA7EOgiSg0BoCUEdpYAiZKGaIM3NDaA4AlYKJEYABIGaGdJWCilCEaQQQ2gRBpjwEgZYST3m7CYs4AJNK9keX5AZ8zA0ikPQaAlBFEEwi3gSPSv5HMABIlHANAyghiDAx3ASHSvxHlfQNAZgCJtMYAkDKC6AJmEwiR/pXnW1Bg8exUmp1l4O49RAnAAJAyAkvARKlDkiSlE7gsz8Lde4gSgAEgpT1Zln0lYA6UJUoJohN4UAHLv0SJwACQ0l6PwwW7yw0AKGYGkCgliE5g7gJClBgMACntnfRm/7KMEtcSEaWICydXY3x1IS49fUiyL4UoLZmSfQFEidbmtw0c1xIRpYZRFfl48wdzk30ZRGmLGUBKe74RMCz/EhERAQwAKQOc5D7AREREARgAUtpr6/GVgImIiIgBIGWANpaAiYiIAjAApLTXxl1AiIiIAjAApLTXpqwBZAmYiIgIYABIGUBsA8cMIBERkQcDQEp7SgmYTSBEREQAGABSBmjjGBgiIqIADAAp7YkScBH3ASYiIgLAAJDSnCzLvp1AuKk8ERERAAaAlOasdhfsLjcAoJgZQCIiIgAMACnNifJvllFCrtmY5KshIiLSBwaAlNZ8Q6DNkCQpyVdDRESkDwwAKa0pHcAs/xIRESkYAFJa4wgYIiKi/tIqAHz88ccxYsQIZGdnY9q0aXjnnXfCHr9582ZMmzYN2dnZGDlyJJ588skBulIaKG09vhIwEREReaRNAPjiiy/irrvuwk9+8hPs3LkTc+fOxeLFi1FfXx/0+AMHDuDCCy/E3LlzsXPnTtx333248847sXr16gG+ckokloCJiIj6S5sA8Le//S1uuukm3HzzzRg/fjxWrFiBoUOH4oknngh6/JNPPolhw4ZhxYoVGD9+PG6++WbceOONePjhhwf4yimRfE0gDACJiIgEU7IvQAt2ux07duzAvffeG/D4okWLsHXr1qDP2bZtGxYtWhTw2Pnnn4+nn34aDocDWVn9AwabzQabzaZ83tHRocHV9/fPTxvxz0+bEnLuTFPX0AaAJWAiIiJ/aREAtrS0wOVyobKyMuDxyspKNDUFD6SampqCHu90OtHS0oLq6up+z1m+fDkeeOAB7S48hD1NnVhbdzThr5NJhpTkJPsSiIiIdCMtAkCh75w3WZbDzn4Ldnywx4Vly5Zh6dKlyucdHR0YOnRorJcb0tzR5ci3pNWPJqlK88xYPKl/QE9ERJSp0iLKGDRoEIxGY79sX3Nzc78sn1BVVRX0eJPJhLKysqDPsVgssFgs2lx0GNNqSzCttiThr0NERESZKS2aQMxmM6ZNm4b169cHPL5+/XrMmTMn6HNmz57d7/h169Zh+vTpQdf/EREREaWLtAgAAWDp0qV46qmn8Mwzz2D37t344Q9/iPr6etx6660APOXba6+9Vjn+1ltvxaFDh7B06VLs3r0bzzzzDJ5++mncfffdyboFIiIiogGRFiVgALjqqqtw4sQJ/Od//icaGxsxadIkvPHGG6itrQUANDY2BswEHDFiBN544w388Ic/xB/+8AfU1NTg97//PS677LJk3QIRERHRgJBk0flAqnV0dKCoqAjt7e0oLCxM9uUQERFRFPj7O41KwEREREQUHQaARERERBmGASARERFRhmEASERERJRhGAASERERZRgGgEREREQZhgEgERERUYZhAEhERESUYRgAEhEREWWYtNkKLhnEJiodHR1JvhIiIiKKlvi9ncmboTEAjENnZycAYOjQoUm+EiIiIlKrs7MTRUVFyb6MpOBewHFwu904evQoCgoKIElSzOfp6OjA0KFD0dDQkLZ7EmbCPQKZcZ+ZcI8A7zOdZMI9Aplxn1rdoyzL6OzsRE1NDQyGzFwNxwxgHAwGA4YMGaLZ+QoLC9P2TStkwj0CmXGfmXCPAO8znWTCPQKZcZ9a3GOmZv6EzAx7iYiIiDIYA0AiIiKiDMMAUAcsFgt+8YtfwGKxJPtSEiYT7hHIjPvMhHsEeJ/pJBPuEciM+8yEexwobAIhIiIiyjDMABIRERFlGAaARERERBmGASARERFRhmEASERERJRhGAAmwOOPP44RI0YgOzsb06ZNwzvvvBP2+M2bN2PatGnIzs7GyJEj8eSTT/Y7ZvXq1ZgwYQIsFgsmTJiANWvWJOryo6bmPl955RWcd955KC8vR2FhIWbPno233nor4JhVq1ZBkqR+H729vYm+lZDU3OOmTZuCXv+ePXsCjkv1n+X1118f9D4nTpyoHKO3n+WWLVtw0UUXoaamBpIkYe3atRGfk4rvS7X3mYrvS7X3mKrvS7X3mYrvy+XLl2PGjBkoKChARUUFvvGNb2Dv3r0Rn5eK7009YgCosRdffBF33XUXfvKTn2Dnzp2YO3cuFi9ejPr6+qDHHzhwABdeeCHmzp2LnTt34r777sOdd96J1atXK8ds27YNV111FZYsWYJdu3ZhyZIluPLKK/HBBx8M1G31o/Y+t2zZgvPOOw9vvPEGduzYgbPPPhsXXXQRdu7cGXBcYWEhGhsbAz6ys7MH4pb6UXuPwt69ewOuf/To0crX0uFn+bvf/S7g/hoaGlBaWoorrrgi4Dg9/Sy7u7sxZcoUPPbYY1Edn6rvS7X3mYrvS7X3KKTa+1Ltfabi+3Lz5s247bbb8P7772P9+vVwOp1YtGgRuru7Qz4nVd+buiSTpmbOnCnfeuutAY+NGzdOvvfee4Mef88998jjxo0LeOy73/2uPGvWLOXzK6+8Ur7gggsCjjn//PPlb37zmxpdtXpq7zOYCRMmyA888IDy+cqVK+WioiKtLjFuau9x48aNMgD55MmTIc+Zjj/LNWvWyJIkyQcPHlQe09vP0h8Aec2aNWGPSdX3pb9o7jMYvb8v/UVzj6n6vvQXy88y1d6XsizLzc3NMgB58+bNIY9Jh/emXjADqCG73Y4dO3Zg0aJFAY8vWrQIW7duDfqcbdu29Tv+/PPPx/bt2+FwOMIeE+qciRbLffbldrvR2dmJ0tLSgMe7urpQW1uLIUOG4Otf/3q/TMRAiecep06diurqaixcuBAbN24M+Fo6/iyffvppnHvuuaitrQ14XC8/y1ik4vtSC3p/X8Yjld6XWkjF92V7ezsA9Pv/z1+mvjcTgQGghlpaWuByuVBZWRnweGVlJZqamoI+p6mpKejxTqcTLS0tYY8Jdc5Ei+U++/rNb36D7u5uXHnllcpj48aNw6pVq/Daa6/h+eefR3Z2Ns4880zs27dP0+uPRiz3WF1djT/96U9YvXo1XnnlFYwdOxYLFy7Eli1blGPS7WfZ2NiIN998EzfffHPA43r6WcYiFd+XWtD7+zIWqfi+jFcqvi9lWcbSpUtx1llnYdKkSSGPy9T3ZiKYkn0B6UiSpIDPZVnu91ik4/s+rvacAyHWa3r++edx//3349VXX0VFRYXy+KxZszBr1izl8zPPPBOnn346Hn30Ufz+97/X7sJVUHOPY8eOxdixY5XPZ8+ejYaGBjz88MOYN29eTOccKLFe06pVq1BcXIxvfOMbAY/r8WepVqq+L2OVSu9LNVL5fRmrVHxf3n777fj444/x7rvvRjw2096bicIMoIYGDRoEo9HY718Zzc3N/f41IlRVVQU93mQyoaysLOwxoc6ZaLHcp/Diiy/ipptuwt/+9jece+65YY81GAyYMWNGUv51Gs89+ps1a1bA9afTz1KWZTzzzDNYsmQJzGZz2GOT+bOMRSq+L+ORKu9Lrej9fRmPVHxf3nHHHXjttdewceNGDBkyJOyxmfbeTCQGgBoym82YNm0a1q9fH/D4+vXrMWfOnKDPmT17dr/j161bh+nTpyMrKyvsMaHOmWix3CfgyTBcf/31eO655/C1r30t4uvIsoy6ujpUV1fHfc1qxXqPfe3cuTPg+tPlZwl4Ovi+/PJL3HTTTRFfJ5k/y1ik4vsyVqn0vtSK3t+X8Uil96Usy7j99tvxyiuv4O2338aIESMiPieT3psJN7A9J+nvhRdekLOysuSnn35a/vzzz+W77rpLzsvLUzqx7r33XnnJkiXK8fv375dzc3PlH/7wh/Lnn38uP/3003JWVpb88ssvK8e89957stFolH/1q1/Ju3fvln/1q1/JJpNJfv/99wf8/gS19/ncc8/JJpNJ/sMf/iA3NjYqH21tbcox999/v/zPf/5T/uqrr+SdO3fKN9xwg2wymeQPPvhgwO9PltXf4yOPPCKvWbNG/uKLL+RPP/1Uvvfee2UA8urVq5Vj0uFnKVxzzTXyGWecEfScevtZdnZ2yjt37pR37twpA5B/+9vfyjt37pQPHToky3L6vC/V3mcqvi/V3mOqvi/V3qeQSu/L733ve3JRUZG8adOmgP//rFarcky6vDf1iAFgAvzhD3+Qa2trZbPZLJ9++ukBLe3XXXedPH/+/IDjN23aJE+dOlU2m83y8OHD5SeeeKLfOV966SV57NixclZWljxu3LiAv7ySRc19zp8/XwbQ7+O6665TjrnrrrvkYcOGyWazWS4vL5cXLVokb926dQDvqD819/jQQw/Jp5xyipydnS2XlJTIZ511lvz666/3O2eq/yxlWZbb2trknJwc+U9/+lPQ8+ntZylGgYT6/y9d3pdq7zMV35dq7zFV35ex/D+bau/LYPcHQF65cqVyTLq8N/VIkmXv6kkiIiIiyghcA0hERESUYRgAEhEREWUYBoBEREREGYYBIBEREVGGYQBIRERElGEYABIRERFlGAaARERERBmGASARERFRhmEASERERJRhGAASEUXB6XQm+xKIiDTDAJCIqI+DBw9CkiS8/PLLmDdvHiwWC9asWZPsyyIi0owp2RdARKQ3dXV1AICHHnoIDz74IEaMGIHy8vLkXhQRkYYYABIR9bFr1y7k5eXhpZdewvDhw5N9OUREmmMJmIioj7q6Olx88cUM/ogobTEAJCLqY9euXViwYEGyL4OIKGEYABIR+eno6MDBgwcxderUZF8KEVHCMAAkIvKza9cuGAwGTJ48OdmXQkSUMAwAiYj87Nq1C+PGjUN2dnayL4WIKGEkWZblZF8EEREREQ0cZgCJiIiIMgwDQCIiIqIMwwCQiIiIKMMwACQiIiLKMAwAiYiIiDIMA0AiIiKiDMMAkIiIiCjDMAAkIiIiyjAMAImIiIgyDANAIiIiogzDAJCIiIgowzAAJCIiIsow/x8H4zhjrjEy0QAAAABJRU5ErkJggg==\n", + "text/plain": [ + "freud.density.RDF(bins=50, r_max=2.0, r_min=0.0)" + ] + }, + "execution_count": 127, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "rd" + ] + }, + { + "cell_type": "code", + "execution_count": 135, + "id": "13645e84", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "7.466453" + ] + }, + "execution_count": 135, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "rd.rdf[10]" + ] + }, + { + "cell_type": "code", + "execution_count": 175, + "id": "abcd99b0", + "metadata": {}, + "outputs": [], + "source": [ + "avg_energy_list=[]\n", + "std_energy_list = []\n", + "avg_nn_list = []\n", + "rdf_list = []\n", + "n_density_list =[]\n", + "kT_list = []\n", + "for k, group in project.find_jobs().groupby((\"n_density\", \"kT\")):\n", + " n_density = k[0]\n", + " kT = k[1][1]\n", + " n_density_list.append(n_density)\n", + " kT_list.append(kT)\n", + " job = list(group)[0]\n", + " energies = get_energies(job.fn(\"log.txt\"), eq_start)\n", + " avg_energy_list.append(np.average(energies))\n", + " std_energy_list.append(np.std(energies))\n", + " \n", + " gsd_file = job.fn('trajectory_1.gsd')\n", + " avg_nn_list.append(avg_nn(gsd_file))\n", + " rd = rdf(gsd_file).rdf\n", + " rdf_list.append(rdf_peak(rd))\n", + " \n", + " \n" + ] + }, + { + "cell_type": "code", + "execution_count": 177, + "id": "71fcf2e3", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0, 0.5, 'T')" + ] + }, + "execution_count": 177, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.scatter(n_density_list, kT_list, c=avg_energy_list, cmap='viridis')\n", + "plt.colorbar(label=\"Energy Average\")\n", + "plt.xlabel(\"density\")\n", + "plt.ylabel(\"T\")\n" + ] + }, + { + "cell_type": "code", + "execution_count": 178, + "id": "c2a6ba5a", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0, 0.5, 'T')" + ] + }, + "execution_count": 178, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.scatter(n_density_list, kT_list, c=std_energy_list, cmap='viridis')\n", + "plt.colorbar(label=\"Energy Std\")\n", + "plt.xlabel(\"density\")\n", + "plt.ylabel(\"T\")\n" + ] + }, + { + "cell_type": "code", + "execution_count": 179, + "id": "e68ca3d7", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0, 0.5, 'T')" + ] + }, + "execution_count": 179, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.scatter(n_density_list, kT_list, c=avg_nn_list, cmap='viridis')\n", + "plt.colorbar(label=\"Average NN\")\n", + "plt.xlabel(\"density\")\n", + "plt.ylabel(\"T\")\n" + ] + }, + { + "cell_type": "code", + "execution_count": 180, + "id": "177787d0", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0, 0.5, 'T')" + ] + }, + "execution_count": 180, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.scatter(n_density_list, kT_list, c=rdf_list, cmap='viridis')\n", + "plt.colorbar(label=\"RDF\")\n", + "plt.xlabel(\"density\")\n", + "plt.ylabel(\"T\")\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "ecc426c9", + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "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": "3.10.8" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/MCMC/MCMC-flow/init.py b/MCMC/MCMC-flow/init.py index 15a4142..173ce80 100644 --- a/MCMC/MCMC-flow/init.py +++ b/MCMC/MCMC-flow/init.py @@ -20,16 +20,17 @@ def get_parameters(): parameters = OrderedDict() # system parameters + # Put your density state points here: parameters["n_density"] = [0.5] parameters["n_particles"] = [100] parameters["r"] = [0.5] parameters["r_cut"] = [2.5] parameters["energy_func"] = ["lj"] - parameters["hard_sphere"] = [True] + parameters["hard_sphere"] = [False] # LJ energy parameters parameters["epsilon"] = [1.0] - parameters["sigma"] = [0.5] + parameters["sigma"] = [1.0] parameters["n"] = [12] parameters["m"] = [6] @@ -38,9 +39,14 @@ def get_parameters(): parameters["trajectory_write_freq"] = [10000] # run parameters - parameters["n_steps"] = [[1e7, 1e8]] - parameters["kT"] = [[10, 1.5]] - parameters["max_trans"] = [[3.0, 0.5]] + parameters["n_steps"] = [[2e7, 2e7]] + # Put your temperatures here, remember each one is a list of 2 temperatures + # First, the mixing temperature, which we'll keep at 10 for all jobs + # Second, the state point temperature + parameters["kT"] = [ + [10, 1.5] + ] + parameters["max_trans"] = [[0.5, 0.5]] parameters["seed"] = [20] return list(parameters.keys()), list(product(*parameters.values())) @@ -50,7 +56,7 @@ def get_parameters(): def main(): - project = signac.init_project("MCMC-project") # Set the signac project name + project = signac.init_project("MC-den-temp-sweep") # Set the signac project name param_names, param_combinations = get_parameters() # Create jobs for params in param_combinations: