{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Introduction\n", "\n", "This notebook demonstrates how to use the `PDynA` code to perform a simple structural analysis on molecular dynamics (MD) trajectory in the VASP format. Specifically, we will use the `Trajectory` class to read and process a set of VASP output files. \n", "\n", "The first step is to read the inputs file by initializing the `Trajectory` class with a fixed array of inputs (detailed format can be found in the Docs). Then the `Trajectory.dynamics()` method can be called to perform the computation, with a wide variety of options. " ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "------------------------------------------------------------\n", "Loading Trajectory files...\n", "Current sample: MAPI_test\n", "Time Span: 50.0 ps\n", "Frame count: 2000\n", "Reading from frame no.1000\n", "Reading every 1 frame(s)\n", "Number of atoms: 96\n", "Temperature: 100.0K\n", " \n", "A-sites are -> MA: 8\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Pseudo-cubic lattice parameter: [6.1346 6.3752 6.4034]\n", "\n", "Computing octahedral tilting and distortion...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "100%|██████████| 1000/1000 [00:27<00:00, 36.79it/s]\n" ] }, { "data": { "image/png": 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", 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", 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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "dynamic X-site distortion: [0.0221 0.1021 0.0491 0.0729]\n", "dynamic B-site distortion: [0.0362 0.0359 0.0418]\n", "dynamic tilting: [ 5.25 5.85 14.25]\n", "tilting correlation: [-1. -1. 1.]\n", " \n" ] }, { "data": { "image/png": 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", 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8EOR9fRcSRQZGV1XxqpTeU3o/tkA7eJ1WT3QfVUP9UV0k/Kaq/sWRbd8D/u79LBLWUXZyNr51gau/e46i2aB36iTFyjIApu9Ib/WwvYlHX++wu5skW9eQCY9RfR9fbFAUN9jQS1wsv0ePbUQSFo99juNn/xSpaZOd+w7ptXcQ73Ca0/eb5P4WRjJSmhhJUFUucZnv8F12dIejzLOmcyQYdrzna2WPr3vDmcUn+bmzf5xnV14I9/b2RfILv0N/6zy/1rvIL3XPc8vnNAQ+0RB+b7vFolnidPoJVu2jiBguu0v8bvElXu28xuU34a1vlnS2oJEk/PhTT/EnP/NpnDH87Tff4LcuX6bwnqRVsvhIl+aRDs6n7OQJzlsE5UhW8FjWw3rlrfcWOH9xjtKZIBlMDSoe2y/h+jbSKxCU7DisfdLQXFGetw0+ZlJaYuir5036fMv16LmEa9stdvsZIDzbWOFPrTzNs40V/ln3Xf7h7ve47rtYlOONPk+1uyRm/Npf1CZPyzFO6yIljpweHo+i7NJnQ3annhDado3H5n6Ck81PcbN4kzd3fpVbxXuAcCx5mo8t/CzzyTH6R4+Trx1BkySs46VAJkF50QLSKjTSB9kCCpAlkBWQJEShXB98PyTa2JYiaTC26sPvujoQG6Jj4b5X0gSaDZ0Ke3sNBnlywRAGyTch0WUpTZhPk+GPZyIWwdB1JTf6fbrVj/RcknCk0aRhLU4d5UhYKBFLIiG4/bCEKe43Bp3ahq62T9zRa6/uvPvwLxLCUGb3t4BfAL4I/GvAvww8p6rv7jf2bg30gJe+3WF7Z/oqlsLRvLgzpWoCSDcuYnc3p7Z7dXz51v+LOq/nhHmKR5MXasOKfXezdsyOv8k1eW9KKgZw+pP/EWlz+gJ549Yb/Me/+/+gU3am9v2HR3+OTzemFYu3Orv8C//tXyEvp8/j11ag+uGapPGJ3drwe3k9QS82cW76PSWXbwTLMcHjJyx/8vfOh4SLCf676wnv9etivkrWLKn77J5f6HI869YN4fdyplbKtUmHDenUHm8W60d+lGee+z9hTHNqn54A0ppvXJSkwYFplxuZpzljMbE7I8t4uWE51k5r07fP7fbq5XfWcLRZn/KdmfSBZv4dNPdvoJu6Nn/6jl57ZevND8UiIar6d4B/C/j3gZeAHwV+7nbG+X5oNSWshk/i61fcAXy5i/f9qe2qniat+kHqKbU3tdmr511/g1ynjaOQ0mBx+lAoO7vvUpQ7U/twPY7P+Nad3yH304Zb8Tx+ZKH+0bhGkQDhvfavbKI1LlqaOJrtom4UumDQGiWB88qVDTf1uKwK/b5QVxDMiKdtC+q/KIef8f3t0h8Rme3RxdGrjaULy+kZDOnUnsQLsntzeogqdnMXyWuUPx58Xh8W1z7UXAoIweutYz87n8y4FgSmdeWE8IXdJ0HKH2BIw6t/eMMjBxSDfqg86PvhXj1oX93FN26WnL9YsHurIN3Msbv5mPes6mH7XfT6t6F/C9Rj0iXS9AQqKf38Xfr5e8OY5QY32dAbJFgWZZFMEwRLZuZYMCdwtPiyf43fdN+ujLPyaXuWH5UnOGLWSdM1jLRQPAUdruYvs1G+wzYdtqSHFwEMR9d+hEdO/FEyUjYv/TI7179K4Qs6qvxGt89L/ZzHM+FH2oZVEawYVpLTnEo+Tpsl+v4KveIKeVnSKx2/9K33+JXvnGPbpMj6Cj4Nz9nGCN4rLu/Ru/4enctvh9iswOL3nWb+uRMsryScbOe0bR+80OtlnHtrnps3mrCoyJpWiRaKuVqgb3eRjscYg/ee1MLCnOVzz6V87GzKq7cSfvtixkZPcCi2DTpf0JorOLXQZbXVqWKowpVekxv9lIXEcbLdp2EKRCATQ0M9GdAylsZIhtcR5ln3bW5S8F3Z5rp2AaUtCSfUckQWODv3Izw295PYak3gXPd3eXvnn5F4x2PmSVZZQ0wGzQXco5/Grz5OtnmL5pVLVfKKUpxapffkCcq5OegCfYIFNGAWFGkBHdAbQPW7JnMh/JHMwfKcsFQ56ApsdJStbghrNBohSWXyxzUxkI7Yhm4R5HepERYbQjMJqgkh1NgwQIlS6l68ueeUbhk0463E0LB7Y1KxJCIkxlZhkTvTLqsqHk/h3fBH0iAkJsHw/ik57tuDTpq6vnD2jl57+dZrH44Qx/1wrwZ6gKpy81yXd768MZ0qLeDf/EXIb4Vg4AgeR99v7gULB8cT6PltSoopb2QXz9/wryJiKXTP07Ri+YPpj/JT2WcwMu5mFprzq93/N17KSnJXTU0M89pijaoi3ci+EqGju5QCyZjHKMyxwGkJceixMR7+8jfO852N3tTH4Pq7XP/Wb2KNwY1owm1ieeH3neDMJ9amHO6iTPjGlVUgGZPUCaDvdDFv9qqFxr35NTLD7uk1smZCv9zbLiKsrOzyzFPXq/OMrnYZ1AfJo0zMvIFwWgzG2DG1iRHDRVfQQygnxizZFf7N9f8IayxmpKSN4sl3XqPsvMPeUungg8hotT8BNg3SvpE32zt6hM6Tj09bUgHp+LB54gNvLcPp5yqjOLq4qbDZL8l97eFoJjWGUoNxTkyY9Z3YQR1ZpBSm3eqVtH3XRrXn8tqnF0FomPShMdBZ0tL1xcfu6LWXNl6NxZLuFxHBdX29pk+BYmfKOAMhm05kSmYmCipaG8PuaB+DkOt4GMCp46hdmzLOg0k4yqnzqHqMBt3IJAnBY52+CLTSEzOlkU4MXOvXi+lc3sMmCa4YD2y60rG43qqNhniCFfGT8wZMSGibumH7uUetGTPO4b0qjaysymtOzFArI1ernQaZMM4QHrFLMWMLXgMa0saLkk58eoJBfL++xoILBadkUkKpoFk2/fpq3/BvgjQDVKbi/CJVxbq68LaEWU7vCAkpd1MydOaxKu7F460zzuEsD8fi4hgHEHOPBvp94CCfUT4azzuR++WwXyeq+tAoOu4NORAD/VAtEn7QNKsi9FMOrAVaq0yuJg78Vq9uWH9iuE9CNpqiU1rnORoYhIaMe1WpWN4tz1fZcCO6U4LnkdGseaY15JQ4tIpL7+EkeCY1GhVy+qj6Kc1338OZuZBJOHqDiQi20cJ7h03HF8tsknL9/E6VuT5+QKNB82wmTmSN4OckxGEnVrLEGCjclE9lROh00qqs6fiXNCjkYydGCSF+rd5PFYJPTIOmCgnpxD5h12/i1VFMFVtXxC4yrWEP+3RENz1yOGynUytcFucAX6X9TzxJdAHRqZwm78FKTXaiDvKfdGoBUjVkdYZFPg4Ep35qoXFSSz3JrHJLszzrQ4uA2OSO/vY9TIxB3x1l33HtjV2uvLZLmXtoG9wjGbpq4doVzDdfRN99C6+Oc1zgNf0eHe1ymqM8ySM0ySgpua5X2eIWCZYFWaSlTQRDOznGYvI4xszzUvldfqX4ClfcdVokfFrWeIFV5s08C9njzNvTKMKGXuT1/Ktc9+eAKhyjHgecU8c5X2AwfJ9Z5HnmSRF2pORt3eA6HeZJOSXzLOhgMScEcgyGJVlhlSOIt1zplfy9t2/y5Ss7FF6HC4MIyLzg5z1qHL1zF+i+9jblzi42a9I+/gTN9VPMLcCpMzusHdtFULZvtjj/vRbbN1NYFuSkoE2PMTDf6tFq9qCrdN8Qdr8X1AvSbFDONfHNDKxgG5ZBSoo40MKTJo7jpzqcfHSLNPEsSMpjNDlKxhaOd6THVe0hwLqkHNOEpgh9HL2qkNS8XeW59s/wWOsz3Cyv8cXO5/l25ys4HI1qYbEhCU82f4DPzP9BVu3x8FPX34R8G/U9Sr9JWd6CwY9wda/ZZIW0eQoxcwgGTTKwDXya0j+6Qv/oCmqEZLdD8/wFkhsbuPkF+sdPUC4shYSoJvi2YFJheQnWVpUkgbyEG5uwvQsmUVptT1ZJ7PI+dDsG76DdgoUFJbHBaO/0oNuHxArLLWGhxR3HovcjFUvLpqSVV1Oqw1VJRHX66LBIqJTeDdckLOZ976Ry3zHodE6PrD17R6+9eOXFuEh4UAZ6QCcvefn8Dj6bvmhe+tX/lHff+FXcZNEghWf0CK6mhsOp5HkeyX4AK9OxyJd3fpH5mnjeJh2umm26Ol2s/qs+59ZINt2AJspZY8lleg4f0xUWa6Jeuzn8za/Nc6VbE2NfVFhi6llMVdHX+5isOTVvoyUN9fR703f/kd+zRdIspwxD90bKrVeXcVpTaKhSeUwebbXl+N/9UJ/Fmlqbt+hTUGKnLJDwE+v/PnN2bWreX975Rb6y84vUxbF/of3vkJFMzaEotyjKq7VjGqs/grHzU562+hIkx/SnRcpbn/oYxfpSrXeezYVF3ElkWD2wZkxbK7nh+L7FJhxZMAeWmd6aYWAFaJjsAy3EVMeBGOj15+7otRcvfzUuEh40IgINUxvsKy3Txnmwj6J+wUMMRqZ1tACL0kCZ1g17SvpM65YhqLHqk4Chh6uNbXlmxwZv9AtqF4SMVsZ5InQggmk0a8e4UiicqZ2hEV9vFISQ2lajAQ6BIq05l9CYEcVLkNpvSBDaZrn2M0gJUq+6BVLVEplRKKpuZnsnnN4jAHmdTnz/o5VuMlw2mNusswvOvz+x4P3cwHuJRx/6GLYwuwnI3RwmetD3xiC2ttEtubjdZ7fwiChZqiQ2J+9t88pX/xe+9+1/St7bYYU5znKMRW2SS8GWbtEnJ5Emxxqf5HTzh7BkiO+D6xEeixNIWiiW3N9ks/ttusUFSkqucIt3zXVySpokNNRgEawKLWmQqLCD8h2/y3vklArbvQYbu/P0C8OpuZyzc9ssZiVdZzjXb3GxmzFnhB9qCC80hRS4RMF3tM91n9O51ebqO226mxlYMKsKKw4EtDT4qmZGkpXMLRSYJEd3U3bPNyg3E3xZ0rt+js6lt/CuZG79UdrLp7FZC8oSm+dov0+2IrSe9TRPE1puvdFj+xtdym2HWVnFr6wijSbLbcenz/T52PEeu7nld99u8NrlBk5h9UiXM49v02rnHDdNzmqTJVJ6ON6jz7t0MMBxUo6QkCCkGFrSJFFhufkUJ9s/xlL2BF577HRe4dbOVym0z1tyg7f0Gj0pOdb6GJ86+ic4M/8ZTL5LsnEe07mJ14KrxetcKL9JoR1WzQmOcoqGtBDTIm2cwqZriFg0aYJJUWMojs/Te3wV387ILt6k8fpFkq0urtGgd+o4/RPHQk3qRCAlZEu2lPaSJ8mgyEMYoyxCuOLIguHokkWBK7ccN7Y9pVcaGSwuKI0GFGUIcYROaMJCE1bngqJj1AYaQsjCSviRKtQNMwobJqFlMqwIPV/QcwWO0JqqZVOaJkXRKsQRElAcSuFDMn0mlpbNSI2d6kU4GgoJ4Y8SXx37Qemj79uDzub16NEX7ui1Fy78TgxxHLSBHhCKxsDFzi7bZcmo8siVOcXmDc7/D/8ZFMXYApWiLDSeZ6X18ZDoMVjUEkKW4nDxcG+Mp+SN3tf4Sv8fVnHm4AOKCOqV07pAg6rzc/W9OhHe6il/+0bIWiqrxBsjYXkwaxRB7idmeLNlxmApOL2wgzFCMarfdobLt+bZ7DcxYoZxQiMG1ZL5+R7GDBJOBhMXbr50kWtffgdjLK5qeGqtxXs4duzjWBsWHgfXo02Fot/F97YwxuDy6r2aUHzpj/2xo5w+kWCtMKgk7dSy7Qu+q72QpWWqMYS6c0F8pyBmKOuzYsgUPsdK5R/vYSRjiUXmtBXOW8kovQCSsvTEv0aarZCYjGFlO3Vcv/lFzl38/1TfUVF9R6HK1icW/hxte2Q8g0yEYm2BnR96OpxnEJLRalVvQ1Fvw/UwYohsQ1k64xAzIhioElyX04SlLAHZK0LlfVgEvJEPmg/vXV6qQWbXsGHjpPPXHBbK3zPaqooRQ8Okw+twsD1MRacSVFRDfHnTTWfNAjTEkszITt2P5owwyb1yIAb62Cfu6LUXzn8phjgeFCKCFeh6N/V0aZOM3s3rJGLRiWdzQVhoPDZd8F2ZMswDDAmX/JvBKI5lMWqI5Q1+AkZ+dK0qF/qCUxnbHp4AhEqZO7Yv95751OFNWGwcm7f1dF0GwlhiiVePtYqxNaJdo3TObaDe40YkB845rMmCrlvH1+ldoVAUaKlj4SKtfmDOnLLV5z3yXsXRM46EkCC095HqeDhj5D059cyTYcRMadK95mRiADcmBzcKSbZKM1vFTFbMF8vW7suhVvREpqklo2XXp9N7VSnX5iEx4y3URMAG77euYH/S1HHjDAzyReYzW+nBR+ZthNKHDMNJt0wkJKrU6aCFek2zVJmnddvD+5qOH4tMJ/2MzfEejaxHpxQ6HyjVd3e/RAP9PrDn403tuIeDHfCj3L3s3WdQeK81mWD3NO97fK8y/oNz5+e6uzGz48p3eepDwkFP+1DHiN8H9ABi0FEHfUBYqc91Mo0W6h11C1huEGuupX6JL6OJrWnOJIPeezU3RctIbdE0I1I96tYsLCH4mpZbIVzgZnhaIXRQ+0lkBpPWzNuMPwKPzUEqzfMENjEURf2CWIJMZT8O5g3UKglCueX6IkiurjIRVF1WLHXfU2LmMaYmM1Bm/whI4eqbNKhWl870uJk9EDQUl/I11aBEZyuKdRAfmT7cvtSFSYc1oWv2PYiswMIXw9j2oWHweHO7v32IBvqAODM3z3qjOTTUqiGUbE48wcof/zdoPPE82AQxaaV3Po4pe1B2qjutCg2oD9uKLULpMg3F/bVkp7zAkQJO+0VaZOGxs7rcGxhu0aVHOVQ0CEImDX52bpG/uLLEE42MVEISAyhZVpDZAmtC0ocRMKJk1tNO+1W0ZXCJhNjvbpFhsxJJghQuHErAC/lWyubFRYpOo7Ire0bxxE89ydHf8xiNlRYmsRibYGxKe/EkLk2r9l8g1oABWW7gP34C/fhJZKkdNM+ZwaTCygsNfqvb5R1fUlZpH0pIvGngOYahLXbv0RxYFMMpDCuEZJXB3DzCBZ/z636Ti1VCz+DHNJWELh26dIfhHJEEY5osmEdJr7yB7WyNfH+B0yf+DI+e/Au0mqcwkmElw0qDE41PUdRULESg8dYV5r76BvbmTijS7BScYq/lNC7vkNzqV8WbQ3zfZkq2MGKhq0tHPfRvwusvFVx405H3Fed0WGDfSygLaifDcVKtZUyYYwHaJiUzWW2fx1IduS+Hled89df1BbeKLl1fDCvcDYxnwyQsJs3hwt+AhknITDq1XQha6EyS2i7f1dsn9wU9n0+F5T4QRAY31O3/9jvMofrFeYA8qEXCSVSVt7Z22C6my1m67U383/rfaNkj03rnQSx6ymMTzuUvsluep9Dx8qE32OGm6ZDohFeicJbjtGhO1Yr4Rn+Xv9W5AUkxVWBnLnE0bUkjmWhI6+F6t0W3TPEjOmRVKLYyXDdFy/G4uRjPypmNKSdXVdn+5g79NyFrrIx7zqr40wl+OYXm+E3ayjdZT28xfzbBjFgXAb7fJqQobiKIXKjSQ5ljPLaqqrytyqYfxKb39jUR/rQcJ5HJJUNYTT/GSuP7aCUnxuatYuifeKq29Gp34xX85lus2Mdm1FCZplhepH/6UeyWQ8ZtMOaFFsm6IZ2oWusL6JyDYlNQNz7vU88YFo9KWCAdQVVxqpiaGhypWJomITPJ+HtVpefri0irKqWG7jWTLCctEjP9/p16Su9ITTL1HQ3mOxn/9t7T11kyxMqY23rJ6p1y34uEzUU98uhn7ui1F1//tbhI+H4xWDipa05q2wu00lO1BZJqi/yGHWwVb+JrdNBNEpok05prgQYNUp3+etcSSzvzdCfmIALt1JOaenVwp8jQKa0zoIKW04ZJfb2nIyI0VxexVzNcMZnyLOhao7aIvVlqsHiiCRPvVYGeBC30JKkIac3jtEiQI9aVfOoTCiDVPYYb06KVnpjaJxMe9ChzjUfIsqQ+fDEj4mF3c5KNnMmaAgJkDY9t1X+2+YZQ14+t36trrxs+h2RGnNiITBnnwZhZgRpPvXFmxushqGhsTSKRiMxc9AsqpRkHPCwIe2qc+yAa6AfAsXaTxSzlardPp+oOYgWW2ilL/+KPs/vKOba/dQ7fL0K9jvYS+fqjYAzptfewuxsIkGuf75Qv86K8xxotTus8jeoryynZlv5QajdAMBzlOEfkLE5yuv7WmHFfNRl/sXmc3y42+Wa5S1mFVhrWYWuyC4vCcOPGAt3NOWy7JJnLEVOFcPoW35u+hKzxHFvd4US7w45L2MhTRitnpOtgfiAnf9NQXguet7HKyUdzHjm7w41+k7dvzdEtw7GPpvDTy00elZSXdZu36QwDEWdp8YJfpJCSq2zTq95DqpYjOs8CGddll5t0UQmP2R2UEmXOQM8znFsTyydklTmZp6QkZ6/pQis9zfL8p8DOo64PPkgqneZc7b/M5Tf/NosLH+fo2k+RpssAeGso11fory/QuHKZdPNWMG4i5Our9E4cJ9nZoXnxMrYXzuWyjN7xE5SL8yS9AtMrhwbRZ5adywl2R2geV5L24DuHuYaw9AnD5hVl62pVugOYXxbWj1oyCXLJSS+6DqfKTlGwW5YspQ2alaH2qnRcwWbRJxVDO0mGmZiCkJmUhsno+oJ8pLJjVmmnJ5NLBnpnj5KIrVWEzCIzaag2OOMH4YPn9uGLOzpKDHE8GLRajOk7R6csaCaDeKzgSwcK1755jWvnLd5me4/H3qNll9957T/lu53fRcRQaI4Vg6pylDYrJJSVJzkstqTKY/IUj8pZRAy2CkUonr7usqNXQznN6rUFQRr3990F3pXN6lrSqjSq4pzlwoVVtrcbGDG4Qe0N9ZjMgzOol+FClQDGeJ48tcHa0i7GBHmaiMF5z0aRca1oVJLAKtbpBC2VR/OCk0dzjBGM8UDQZGt/nudllWNp8PSkEis6PFfJOUqIiw5+IjxKn1CYqqVJWBBUDSFy9XyHm7zObihgNTTxisXyozzKY8xXnx3Bm1dP2jjN+tJPhoU/SYZjvC95e/Pvc633rUpDnmNMiqqyduynOfb0nw9xdQmfjniHesXku5TLi+FHzgR5IarYnQ4mV1yzxVDvrGHRTooSTYOmeRgzEiWdhxPPCs0s/MiJVI66Kvm2sDCXYNPBpVXNW5XeDKMWmsOOm/CBiWmIpa+Da26PlrGsZe29hr/V9aNA4R2psdW09wy0qpL7ovbHIiTC2Dsy1APb5dRTVE+gg6SW+1WQ3HeIo7Wk60/+8B299tLLvxxDHO83w24UVqZWak0SHl03Owv4dFIzbLlZXuHV3ouhZke1e2/hw00HO1SxJDwmT1Sa5pF5EIzHsNZxdVGnAGK4ZDbHwgODi35rq8HOThNVhgksQRUg+P50LFGBuWZeGWdlEIpQ9RiBXWfHEhgAsEoj8Zxe6w9/IAIeK/B0I+P00ESEfQmQYHiE6R5/BqFFsneYQS0HDXHJt+hUTwyjs4ZTzPEYC5UCZG+sIKwt/CiZXZk4k9B1N7jW/9aY3tn78M0017+vKtY8ciZjUQPlwnIw/sNDBWPsWnNo4hlT+1SrsNqoiaeq0GpBMx2Pzw6M8cpqUqO0qXzxGT5Z7qZN5uDfs4x606bYidj78No344Zy8N9uH0/+To3z6PEsBpH0fe24cltGf0zvg2igP0j2kV1ZsfW1IqS+/gcwlrl1F5PYZw7TC0thDuMdTsZ3Bs95kv0qkemMOdxzBG+iC8zIjn3G1Mc197vhBUtdcZB7NxJ3P0718Jayfx+7nxyuJBUqTVbUQT/czLp+BYPz9avUk10/RvYg+xTFmRXImnUBiDBTrrRfWExmjpktfZo1u72udDXHm3m02eea9el4FJnxntTXLwCGRPl6r9L7ch+R8sERkkFnfxL1+uTZx7tXezrrepi5fZ9v70MVcD0AmV000A8Yg5nSdQ545BMNFo/ZoFcXRdXhfU5abPNYcooGdugZpJKSkXKcRzgmpzAYbBUTdcAGjn/gvspVtskrNW8hnlxLvs0GL3OLHE9ZOYoepS8Fn5UFlqumoIIMPd2lpR5ra9tY66kiMjSMsJLCT63Ds4tCIiE9ODOGVIRns+N8v/8Y87TIqg7XVgwJwscbjsfS4HOG4vlBV90rM17eXKDjkpCODngnlDl84TubfPV72+Slp6yy2wtVrqjjt/odLqujqOKdXkJs+hI7nGebEh9qZrD3fn+AZdYk1LcbfC+hQayyQwePDkUQYjKMnaPPDt5WHRtDqBcVIVk9y/Gn/kXS1hGMDVX7jG1ibRu9dRnTHbTl3jM5YqjpZ1npmlcVu6Ij1QGr82XAKshoYcBqHrt92NjWkJSi1cKtVwqnXNop2O77MQ3yrMSRAW2b0Kh50glFksY99WoK5K6kVDd1jtI7ui6n9NP7ZllhgVr100OJhJoqd/K372HiIuH7Q9Cc7i1mjFL0Pd/9wre4/PYr3Lj8eYr8RhiDsk2BlyUelZOc5SS2uoFKLfiavsJ39Tzv+qLSNQROsswPmcc4rzd5Sc9TVJ5egvBJlnneLLDBFl3ZUynsqufrPqc7pZWF7lab9Z01PrMCT83tPbpu5MqLNxeYMwv83PoRVqu4q6ryNlf4Nf87rGBZZi+u2FP47R3D2/2EXj9Fh7pqZTkrOH3rJjfPOS6/udcpJEuEH/yBZR59do6vuS5XRzIcjxjLz7RSculzmZ2hFloUTjHPYyxRUo5J6jo4LpLTJOEJFmiMZGYmpKzN/xDthedotB4fqSvhcSm4dkb/yMowLqyqdG68wu53P8/i/AusLH1qWHZUBfLFBr6doem0t2TnPHZOSeZ1uEyhHsoNKHcMZonQ0XvwCeXgbwXJvCyNq/DmGjCXCds9pTvy8JUaOL2c0EjCD9jk3W4REhMqIQ7eq1dlpywo1ZMaM4xlB21yuCYaxtIw46qLQUmDni/Hnr6sGOZsBmjtU5kZFOQ/RDHk++7qPbesa8//2B299srv/qO4SPhBE+JkhqLm9zBtGEzjDa6c/5+rtPBqDMIiGR83n8JOfFWJpLR0nbc5T2/itrvILf6+vjTlLZUo3+MWS9LHToyZE8OCSehOhFZEYHWpx59eYaoc/Uom/MkTS6yYE1Pv9XGO8440px5nmwLHxfJ63pyYn3Arz9j8MuiESDsvla+8u80rj4Ha8X3XvOPbdJiX8XmrwDXtcozmVHyyjeUFWSHV6SebEsfK0T80XdBIDOXSHP1jVTurkfc6t/48648+MpZUAtXiZOFwmdTGD7I1z2RGuBiwK6DzUy9HMrBHp7dD8KZ3+9MXV+Fhs+9YTeoNX8NML8oZEVo2mdI0h2sYWrZuATJkFfZqygM49eS+GDoXY8eEWr31Q88BLRLGEMf7TCKDtlLjrJ94kuc/+0fImuN3ZoMGpe/itBgzaF4dPTY4reEpeJRVWeBnzPfzgjkzlg0nCB9rfpyPzf0sbbs2Nqbr4Upf6JR2Kk55VtZZl1NktCbGKL/WvcE/7ZynO9HR/PXOLr99qcWFnWTseKXCxb4dlj0d5Vhi+flPHOP5RxbHPiFrDD9y+nH+ufbzrJn22JgFMTyt8xzV9ng4VmGBtPYCN1gWdJl26FMztq9tj2E6m1D2x7Z7n9O98hX6b/46mo83SXBbF9m59Hn6O2+MfUcq4OYsmk7nj5hej+RbFzDvbjCZcmoNNDKPmexj6aHsgutPx5JbaajhnNW4XN1cubXra2tz5N5N1bBQVfreBVXHxIkGoY1JBlmJdcwaA7N7EH4YUHNnf/sRQxzvM6NSs1IdBsFKKLrjXAmqvPPKF3nln/4d2tuWlLSqPxDqRzgMF7nMBd4DCR6fV88G4HWN35N+ikdYD9plQkjlt/1r0DzKj83/JKlkpJKg6tksz/NbG3+PL3TOc6Hww198r57FVPnJ7CS/N3mGNhkpFq16uLxavMs/6V7nW/0cY6p4sld+pHmME/0lPn/9Jlf6fQoNcrm51PPC2i6dVPjObhLqUmt4lDYiPJel/PzSAqcSSyJCUXp6heM3X7nJWuM0P/f886TWkiQGr8r33HX+WfclHktLHhUbij5JmPcFtunQ5xgt7GjlBhEamrEux5ir9M7h+/B06WDTo6y3PkUqbYykoeynseSJst15ic72K3uyN1WSE5/ELJ+hPP87+J0r4B0iCWJbtE/8FMlTP0y52qoE4sPAP8mVTdrvXSDZ3g6myQpqBPf8ceT5oyRZ1aOPMMQ56OwKxa4hPNxItVMxTVhdUVbmBWsGIQalKOHGjtIZeagYmMH5JqzNCclEMQ4hhDv63tObyHq0Ai1racyoCV2oH6sZPsAgpFX4JHwFMnLMSq88/HoOl6G+7xDH/LKufvLH7+i1V7/4D2OI47AwuBCFvTTksE1IkuALnzj5LJc6C4xXMQ5tnd7kDa5zg0HlscGNdQzLT6c/OyZnGxSY+f1zP4PMnRovNCOW1fQx/t72Vbq+ik0Of6yFj3GSP5Q8TzYSnxUMGS3+5vYtLro8RHVHbuZf37pK79rOmHfnFW71DV/eaWLSquTQyAsWRPg31pbHUo4biaGRGP6Fz/wgC/b4uERP4LnkGKYh6GjQpdI6n6BNv+6yVuU0Z0mrxctB5EUwLCdnWWh/GhkJ6ooquJKNjX9K311nUj9cXvgqXPjqxCly1OcUJ+ZhfaLDugA4Fl9+ddzT90FkmDiHSc24DJrQKD7fNIy1rapWLOdTWF+QsRIggtBIoZjwlgf/ysvakiEosONKXI2/5hVaM8IQuXcT2vI9msYyaswHWDGkB5BMcqgRDiQ+EQ30B8isC1S9YpIU56bjeV5mlXCs7/EXzmNmPko6rU8ZCItG9ZrrgvraDl4JHUFq7nJj9rqvjG2XoJquuxDtPo1GB+rpun0iplZqN9sgjBvGUVRm19mYhSQZtWUkh1KQWsH17DnMOs892LdB/ZS6c82Utt/9acbP91Hl/uv1RwN9WNGaxZawY79Rs+8Gnbl3nwPq7FEzh9TEOYFhi6k6Zjka9xp+209zfffHuoc57DvmEIQU5e6/1/eLQ98M9k6R28eX74S4SHgIaa8dYeXJjyFJgiSD39DwzHRSHqEl89jRDuBiKMh5V98IkrJKTqBASclOfo6d8hql5kPf11FSas6PLTyNRUlHJGBG4A13g8u6OSZQUwltrv5A6ygtERojz8otSVhsGM7ONUMVuWpfYoRElDUV5g1kI1dcZoSud7znupUGuYqBA7kq7xaXuep26eneQ7QXj9OSxCxV/QX35u2rdxdqRO8ZQiMJgqFLAZgxhYaIxfkd1OdjhlUJ55H0SKWpHtUzZyAZaXYUxCImGX4PgkXf/ibS7YYA8qixtkL+6BHUCiQjZVtF8Bc7+F0fnj5GhqhCa94P9dJ7k1A6PSUvtdI6M8ZyO3yPo6bOCJQO1I8bwFAOpNKT++ljeaA/omcOYwb/LUOt9SRFtfg4ua/uB3Twusna0Q81sR70nXNYFgnvhnxnm4tf+SLnf+M3Se0SLXsCa1qoKjf8BV4pvsCGv0KXkhwPAikpj8vTPGOeZYObvOK+xU2uA7CaPMJzcz/DenKG17q/wevdL1FoF6dwobB8L7dYUVbTnLYNPRZXmeez5hm+j5Nsc4MtfxVHiVPlO0XJF3tKRsYfbZ/hU9k6VoTrec4/unGVX7lxkWeXHD+8VrDaCMkUb/WDDnrHK5+a7/NkuyQRsGpYZYmGW+QNV/Ar3S0uuLDK9Uy6yp9d+BhPpQu841/lgn8bR4kozNFkgRY9KbnMFrvkIJCpYZ0FlnWeo/YxjpmzpNJA1VPoDn2/iUhKKz1JapYrr82gtkGXPhfLV3in9xW6ulkpQto8kjxGy64wv/zDtOaeCca93GF3+xt0bn2dVnqCxcazpHYp/DiuLND52BnK5TlsSzFZ9XuSl6RvXyd75Qo+a5GvHsM3gzrFzEPjrGBXDKWvavQTjGjZDYuFYpR0PhTtl8rWL2aGuWxcR6yq7PbhVicsxh6dtyw2zLAyXeEdPe/pFMpOHpKBAFIL7TT8uE7GxFvW0jKWXD0dt9fV2xCSlkJFuvHrOBEzXGCc7MI9+GFw6sYq04U4dfjh+yA86vteJFxa1pXP3tki4bXPz14kjAb6IeDV/+zv4fvTqd/vlN/lS+6XKXx/at9+9TJm7buMslMTWmlg+EM8UlvvYFVOTemgB7zkfqs2rbdHSdeUtZ7U/7jRYKcmQnE69fzsoiOpiWNvG1ebALTAIj+X/NG9hcERTDKPSGNqu1fHP+7+NepCEY8t/SzPrP0JpObB026cq00XLx5Zof/Zx9Gkpt3Xdwqoa7AyB8lzZtD65o4wAqcW6hfeUjFkNcXyAb57czI1KdBIqAz+HU8BI9A09SVDl5IWac0cvCr9GQ0AUklqi/y/HxyIgf7hOzTQvzzbQMcQx0PA3JmjmOa0kUlMi/Xk7PQAhXmfkdQEwRo0WNf12jEtFRo1RjhL5mmuPg+THciBbXbZ1K2p7YU6LmlOUWO0LIZMk9pw7PHE06ypL7EoKUtMZ2+oKlvekdecJyWBKg15mtmW54h5ZCoxCKBBC8oaY6IKktQuW6ok0NGpuLQqeCu1cUoVKHPZP5Rdg5sRGnCqlDUNA4LMsf5YmZlt1GcRUuhrPoNKV103B2aMGcyvbu1ikJV7qJ1LYVB68fZ/+xAXCR8CTv+xz4LC1mvnuf7l1+jd7ENjhZPmLMf4HH3f4eXdz/Nu93dY1pSjOs+g696O5FzSTZrM86x9hqO6jqI4PK/zJm/6txFKWqQsQ4htClzwfdL5M3zmzJ/lqSM/HkqSqrJ78TfYfO+fcr1/nitml5wLCK+ywDzP6FO0dIkv8RZfc++ieDyes7R4mow1adCQBqayVx7llu6yQ28gL+AnFwpU4VyZ8I2OsMYiPz93nKdti1Anz3GRS1zQq7yrOe9qSUk41qIRjqE8Kss8az7GCY7i/S45HYw0SaSJMS0kae15wROiCiOWH2z+YVSV8+5V3ipeYjE5ydOt38Mc65ita2AtvrmIJi3EFUiZQ9YOSjwt0KKPb7XJ14+H0MVbitgSPWbQZYPvCn5HQhyhBabwSMeBAb9k8S0Dt8JHksx50rYyy1ZaCUkqWQJ9r4CSCCRVSdPc7z3DJCK0bYIBtkvHTuHI0vBdOB/i04tZwvF2k1bl8Tv1bBV9dtzsFlOpGNrWkplBDfIQfy68o/ChDVbHdYEgvVtMmzSrDEYhFN+HkIk4GuZwOJx3QZJqLKjg1I2l7VtMCJscxoXFKLP7aDCoH730fY/QuQ69l69CVWYyoUFiG3xq4eeZ77yDp2S0Otyib3BSvo918whG94IUCfB98jFucZm+5OxVXxPmFT6z9jmee+H/hjHp2KLawiO/n5eu/RKb5dZINxfHLd3kt/kG33ZFiM2OaLjf1h6PSIsmTcxQfxw8p2WZZ0d7w7CLrXY+ljo+t3ic05yqiisFLIZH5VH+jjtHIX5Mg7vpPWflND9pf2CkzBSEJb8ekhzBmIk60jVOmCUUxz+TvMCjjc+iNhnxqIM+2nRuQeZGFnmqeK1k5MeOUS4sjjRhqP4uespespe4Ug3zmUVbBhqMLXqqQrFjSVv17dBSCwuNoH0edUJLhbLGuyxVuVXk9CYOJwKJhdNzLZaybMzYGbEspc2ZBrptLXM2FO0a9hIAMgxbrpj6eHveYco+zaxdnXvvXAkWp25qjKJjHVpGcXicz2mYdN+Sth8I+1QavFOigX6IEGMou+V03jBg1IA66kp3pqTYGlGmUaGgoK40ZiNbrmrJT9aksPSLm1OttgB6WmLETLUh8igLJhsa5zHUV8Z5cg5KUxq1ydpGoTtSKH+UOckQMdP3hipG9mkkWiNPFgSxKTMFrTMkzZoms7NBRv93lEnJxehpZtidYNtmj6tjv6hANlIYaepczJg29QWORGaXuK2ryXG7Mbfj0AU7YqJKZJJDd5GOcqgnF4GH+ytS1cMn7a71SO7yEAcwjcj7yNypBcQKMrrCLyBJStZYQ9LxR3gjCbl2g5pixHNRoI+jxUIVjJCxMd2d84gHmVB1qOuzuvB9mKqS8t4YS4sEo0JDxss3NSTlou/BIDtxOG8Jda2R8TR0wErGDrsoMpaCHeaunGCeqsnRcHsmCVd1p8rKkakxpdudrjdsBKX6qwn0atmvT3zxDvUOnTyeCKZbU82IEOiV0g8aB04cb3pTOJwy4+m+kuBN65b3Y5CwWGfLOmVZq2k2IhipK/G1p3WuI6kZI4T08FlMXgd3SqEluSvwh2jhsOpmdtu//Yge9EPG2sePsvTkCje+fZUb37yKKzzuxBz5U6ucWP7P6F38Llvf+Md03/s2iWSsyVmWk1MYLE77FHRRdbzOTX4pf43v+RssC3wsTTktQkrG2eQTnHUfp/Hib5Kvn6B/6nFco4Xffo/e25/nieuXOcHjnDcbXOEWguEp+3GezX6AtizwrfJ1frX4CufcJY7KIj9hnubjcgpwbOpVNrlapZQIBuGUrtKjYMv06GpOyyzyRPYjPNL4JEaFXv4evf5beM1x4sh9hz8rZ7lEl6/KDd7ymzRp8BP2BX7YfowWDZz2cPRQdZTSZ9fdoHBvkMo8i40nmLOnwCQUa6coVh9Bk4xk6yrZtXeQ3g7g0bKD6g2QBElXkGQBAFfeoOhfRLd7mOwI6fwTSLIM1lK25tFGC9vp41Mb5HUi2G6HdPMW5lxOOd+id3KNcmFueIeKA+0Q7sgseINpU2kvKmmz0kE7hrUyEhPixt0SrCiprQwphAJFVZi78J5yMEYgtZb5JCwedoqwTwjx7I7vc7FXsJBkLCSNKm0+GOdTzQV6vmSr6Ic4MqHAf9PWlCut6jufaKQU6tks+nR9iUFYTDLm02ymtrlhq27dfm8xcLAQKIRFy1Lrq38M4tGJWFLzAZs2AZL7/7GIOuiHmOs7OW9f7+CSaa8j/Z//N5LNztSN8La7xl/t/Tob2pka82/N/xE+kTyOmfBYS+1zMf8yWu5OjVlInmQpe6Lq7jIxv+7LtGWyGCpsuqtc5zzT7UXgicU/TcusTc27k1/gRue38Totc1tMn2GepalFotx3uF6+ip9us8v8Y3+axpFPT8eK1dP8xt+tjeWXvofTbu28zVN/BpLGlEsk/S5pZwtx02NuPf8Y2pzWYtumsviIw9b1ih0ssk7YNwFWG6bqpj45Rqsx00Zxpyhrt8/blJWsVRuT7pS92uMJkElaOwevOjT4d8qseasqvRnaaahknHUf3l1w3zro1SVd+5kfvaPXXvnb/yTqoD+MiBFMVv8VmrQ58/lp5uINSW0ShgBFuVN/nur/6mjNeEBTYSx1epS0VolNeC/ptLEHaJrm9GIm1Y09a4XNGrRuIQ9QW78oqFK7Phv2GXOglYHu5VCTKdz3yyznzciMzif7+Hqzxnxo0ronEar2ZXfwt99hPpQfTg0fRg96EG+70Sm4tJOzm3vw4EvQUpFel+yVV8jeehspgxfpKj3zK/4i/7j/TV73VzltVvgD2cf5jD0b2t6bFmIaODwvu+/yheJLXPXXOSELfFzXOc0CBksqLTIagKWZHqNpj2Mko+uusFW+Rd9tkEiDFis0ZJ4ufV7hTV6uaoacYIFHdZ45MubMUY42nmfOHAsxZ9ME08BnCf1Hj9B/8jg+s5TnX6b/rV/BX3+XtHGChZUfptl+GvElbL0Lu5dC49rGKtI6ASajX1xgc/tr9PPzyNxRsid+H+npH0LEYroO23PgQTMTCuxbwW7doPHWyyTXzqNJk/LoU7j1xwGBG68hl78J/S1YfAQ9+SmYPxGUIkUZ4swilK0U10pDuGJ7h8b1DUy/j5tr0TuxRrE0N26JRaEB0gaMkmZKq60kaSjr0esI/V6QszXbSrMVvNL+ltC9YXB9aM0L68dhbjFcH53S03PhdU0rtBKDEeiWylbfk7tKS51BZkMn92YlnRt0AUomqgqG9OxQz3yQMFKop6wqI2ZiadmsNnNw9Bij4YrRNHBFp0Ic6Ui504HN8tXrJqskHkSI47496LUlXf8Dn7uj117+n/5pTPX+MBroAaqhcehL5zr0JntqOUdy8QKtL3wheKbDhgGQU6Kq4eaQZKy4/SV3jb9Z/iKI0Ne9VPIUy0/wFN8nx8MNM9TzGrx3dNkCEXQk9VrE8ppe4lW5UhXrD/tCTeyEP9f8V5g3C5hRj1uE/uljdD7zcQTZa66pHnUl7W9cw+66qlDRwMh5KEtMv1PZvb1+h15Ldh87QbGyGMaMetaj98CIwRRXYHYdtusrvfNgTLXQN1AOmNHHacVZgzZsNS0ZblevaLNaGbITS3WpwuLEEMIi4d70RuYG+FJhMxjsUe/ZGJg77mgsT9/bqjCoGjC6V4CVhuVoO63OO+7tNkw2Fe5QVfquYGdGuGE5aVW1OcbHDVpg3Q1SzaEu3AHQ9/leb8MD0EPfr4HO1pZ0/Q/emYG+9LdmG+i4SPghYHDR9usaHlqLuXVrqk6EAI0qIWMKVa7qTVSUfCLmW+A4LStBPTF6SPUoJVTdyccP57hqdkPD0BFFhKJk0qQl8+PGuZqDO7IKdqJ7ohgkybBdg0yFKIL+WcxkHWvBSIpbWkZszSU/KxRkU8RpTcUxU8WulekPUMIK3tQxJRzHzli6T+o364yYigKUwchPiky8h6Rd73h5rY9EKDCfzS6iX7dVRCj3Ke1aZ5xhduhkP+pCb4M5qGqt8f5AEYiJKpEHi0j93fwRYv9b/hAZhA+KWRks7+cUDpNhHqIYe/91yeMi4YcEs4+uUhvN+oWv0dzcCdpmDu/91OKbFcuu9mtPJCarEgamO2I3NCGx04oFxU+lKg+HdXtVAeMJ79/7KkRQUwAIh9bojBWPFCVal7I8CFfUWBo/M8NPZ6blzfYQdfCCGbtuM26CILaZ4SmXM7zeGWeA0CZrPx3xdF1npV4dXe2vGXOv1FVFPNQIiNE7+tuP6EF/SDBG+PTZOS5tFly6leO0uoEMuOeepHdkkexbr2AuXQkGLtw9YfAwjhwSNmgu8djKD/Ln7U/xOzf+Hq9tfjlUtlDP95tnOS5P0ULo+w28liHskC3RXP8MzeYa3Y2v0L35dcSG1lPZE5/kJz/+b3Nh+x2++Y3/iY2bb2Ocp0HGJ/Qpdntv0s6OkJjlvR8Ek9J8/RrJlqf3zCnKlfmQFu48je+9g7lxEew8OncUrR5ze/l5rm/8Or7Y5cjC55jPHgfCItbNztfZ+K2/QXLyBRaf/HlMYxGRBNvLaV66genl9I+vkK8sViENgQTKYwm+60k2HRQaQkWqmMKB8+hA62xC9TltG/yiRUWwXYWi+pxVSXZz7I2SciGjXMiqcAfYlpIsKWSK6xvcIHwvkGRKkimuEMr+XoW7LIWFVcUege3rQmdThjHi9SPCkYUGZeLZzEvKqqC/KsOaz5NkCXRcgZSetk2qHpF79TV6lb44GUl79+qxQMNYCu/HmiSkYui5PqlJxsaIDGpGp1MLfBaDFYvHj9XkEIREPpiyo/eDHECIIy4SfghRVb5+YYdcdcrRNe9doPFrv1Wryy2PPIvOn4BsvKxnp3edy2//bR6TE2Qj9SxUlXzpBLp8Bts6Nj4Hn9N59CLJyScwjfbYvo2vfZ7i61/iuF+Zejxttj+Osc0pL9w1Db4FydXrY6E9BS7yGtv9tyjKjbEx1rRppSfY7b/DeANeOPXIv8Ri8hi2Nx5j99Zw67NPDY3nKOmVPunN/rDR6+gcemfm8C07VcPZ3ipIr/cxfTc1xn+qjVmQ8TVGKofegZmIS6tC00AjFdLJMSU08pTFRYMdmYOqcrmTs5n7Wsd9vsEwyWWUtrHMJfWNYg31/SV9pe6oq8+RmbS2BodqqHloGI9Xh+3hc/4giiDd7yJh48iiHv9jP3hHr33vb/x6XCT8KCEiJIlQlDV3ZKsJ1u616hilsThlnAHayQJP27NBvjZxHputoBPGGUK4IzvzfG1Ln9W5kxh7FGqK7GOT6RAJYDt97PZOTUEj6PXfmzLOAM532Om/OX0OgO0b2Nap6Xl7H2oj1T25W5CanosCtcZ5sNMW06nNAiQNhbTGAIbCytNjBLIM0pq71iaw3J5elAse6+za0pmtj+HuFz2tM84wMPJ3Fw8OUr6aZgYitQ0iHiZuF764E6KB/pDyzHqb7X7JpZ2cThFuqMzCyulFmn/hD7D74nfpfvttNC+Cn9I+hqGJ9rv4JAtWQgRaAqfbuM/+HPLa25iX30B6/RBS0A22rv0j2Jxnbv33kC08FUIU6pGypPHb13FHG7gzc2jLoqpcv/gS33v5vyMvLvIMT3CKk5iqC3dJn/72b5Mm6zQbj5HYkFpdlrfo9t/ElZs0kuM0kyOI2FA/o7XCidV/iV5xiRsbv0Gvfw6AtHmMxRM/Q3PxGbav/hY7V7+Adx3AsJg+xgJHId8G2xy6qj5J6K8uY24q2lC0NZDDKZICpy3l8RbmfIHcKMP6mBGKhRTpAQloSmVcFQzoiqG3OEdyJcfeLBANyS6umeLetZh5SI4opnX779SaUErUl0pqBusOoX1V6eBC2WM+SVjIEmxldA2G4+02qw3PlW6frTz8KCYirLcyjrQyOq5gu8z32ldJeDzv+pJMLHYkycSKJRETzqluGBsehCGMyFAfPUruCwxCapKhRzxI6fYoVgyJ2KEqwxPqSQtMtcl6KBDFmvtfJIwhjg8xoQlnKIKzU/axNizqiIAW4Ua9+evn6F221QrjSHyxadEfXIJFu1cK0zlQ6H7h82x/81dR9iR1YhoY22b99J/HmvnwaB4yEFDggrzM7176bynybcoiFG9PJEU8/CifYo5QJjQUJgqemLVtVD3e9xlUExIJhn5u/SdI5p8c0Scr3hcUdMgXmtjmEYxJABOK6KuiF15ifteHBJWhbyL4xNJ5/GnKdnsv/lxNX5bBHKlCDQP74BR14C8qfpCMMWo8MoX5iTFewYNccuDNuOBZFLOgNB6l1nMe1N2Y1EgP/jmpZ1bgSCNjrdGqphYGuWoRMPd+WJDfVAZRgd2yT9cXtSnZi7YxTP4YbZk2CEMMFgtH9/V9MXNxT6qElOnts5dK67TYD4r7DXE0jy7o6T/xqTt67Zv/9W/FEMdHkfB4C9Zq1ZVv7+KW6jm5f6NZn266ngbjPPrYXilBdt7+algcHEF9H5sdxUqVqj04ZOhly3cv/0O63atjY0otaJLRrC7DvapxQVHh3HR6+eAHwS48PaEkEYzJsM1F0lZ7bJ9Iigi0+02MTIYbFDc3XxnncesogFmqibhYARfi1XWP9NJg2tCayvSonR6igmkyUzdb1VuqZXLE4N+LaWPKyFoTwgaJGfdGB51NHL7WAA4838kxEC6durBKmMs+ipAZ+2aNMDMbYx1eTNRBRz4Y9rtVZnhM+95dB/wUN+Nc+0nC6v2520RUD4EG+F64m2SUez1W5GBUHNFAf9QJjf6mGWqJa27AWcWE1DNLWm9IR0IYI2PY33DOtoIz5obO3KUy40yq1DV8BVCvwbG9i+JA+9WOnzXrg2agQZ6VGl1vWGd8BvudZ9/jHSQP1y+hiB6IBx0TVT4CNE1Ky6RTt18ihjO//wQLp9uhAcBgcUs95p0bmBcvQieHokoWKR2yscP6kR+lnZwEDCIWMSlIgm0foTQeHZVLGcFnlo+/8Jd49LE/hLUNkqSJNRlGUtZWf4Di0R9D5k5Ui3UGbAZJG3Pic5jjnwHbCNvEgFjM3CMUuo2OpoFLZfxKh+TlSOJJEABLWVIuHcdnrTBGBDUGFYPLshBf35s1eIfp98hePE/yzvUgIHa+iiUrslmQbvYwuQvbqKyy0RnF9xVJwJwAabIXfjYgVkkSrRWBAPTLcOrJ5SLLtBpQCK2r8pH3M6gYF7prl+y6nNL7qUpy80mDRk2RoUTM2KJfWNsIfx2X0/XF8N+jx8tMWhuYMIQiTJMMFxpn7Hu4THQIcdzJ337ERcKPEKpKro7SOxo2JRkJrha7BW/9/dfIr28jeWd4OyigJ+ZxxxvYNy9jrm8PxzjN2Ux30PYKrZUfwNjW4ETgPeWSpVxp4hayoQdall0uvvbLlJsbPLb+szSz1eHxfOca7vq3MAuPYJafHCatqHfo9VfQ7Sukqy9gsuW9N+WDYgRjQrbkMP4Z1BKCx/ZyzKgB9g5vS8p2g3z1yPgTgXqyq1fIbm1gd3f2Sh2llt4zj+LnFjBXSmREwugzQ++x+dD0NZ0MjStiazTNOSS7SjavpMt7ce5BYf5ZCSXtLOiWrYzEelVRFVo2ZSnLaE3UG+m7kkJdtWi3RyKGpaQ1o95yWFht2ulmrF2XU3hHPlFzpW0yWjadOp5XxWnozj1an2Og1nDe11bMG/S2HKg73k/ud5GwfWxen/yzL9zRa7/9X/5OXCSMhBu6IUmtl5TOpTRbJWU+XpRfALm4hXn31tQYKxkLC9+PWzk9eSKwlv6ji1OhgSRpcfbRP0x6c7rpq2kfwTz6U9PzNhaz9hx2/ulpz9QYNJuuEy2AOE/S607tw1jytRXK+fb0PqB14dx0CaTCkb6zSbncYDIUYHKPtDS0LJkcJ9QW3pcMWss6FS0SqeR0Mwy0FUgmtOUDrfPRZn2B/VIdvZrqcbMKHYkILVtfexug64qxrMEBhTqaTD+phZZZ09fcQANta0JmIkJaM+ZhIoY4IgfK8vMnWP3+05hs74ZRIF9dYffp5yiWVsZuS9/I6D2yTr6eoZPP5yuGbNFhGxPP+6UnvblLsrM7EVYAKUqS7R1Mb6Knn2qosVxzvUtZYnc2Md1dxivlQTmX0j22iGuOW0gtO8j5r2LOvQhFb+qY3UfOUCwsjhfrayT4Z5bgsRSykRAOIYxjrpbI1ngcQj34DpQbgk7YR5GgXa4pNcJ8ajnWSmjUxDx6BXTz6ZoZTZvMjG2nYmtDXAah8GVIqx45XqgjnbNb9qf0zEWlW551nro5ePXkrqDw5YezOH8ddxjeuJ0Rf7h/oiIHyuJTR1l4fJ1jP/4UG69e4d03d+isHQleqjH0T5zC5Dnp1Qu49SWKtTUGFZqKI03sTkHDlpjTCaRCZkDnQhOB4rojeWOX5GavqiOt2E4PzRJckmL7fcT7sCDXz9GdXVyzgU9TpPRTa3SS90m620hRVPpgQXe3ce023RNrlEutoaNbrLQxpSd75y3kwoto71qVAGHQt38Hf+RJ3BO/B7IWiCE/cpR8bR1xjsbONeyZJv70EgzCCmdBbzrcGw71IaHHbipsl+hlcCsG30ggB8SEsMVO8JqTNU/aCvFqD3gXQvyphfVmwmJWaY2B5WZC7pTLuzndqhlh4cNfp4BmohxrN1jOGvsutKbGkmJp24y+L8l9GZJPGPTx89U5hXwidNH1BWmVnJL7EjdhnAWhbVOak/nqhLrPhS/39DEavPnJAvwfRoQos4scMCKCVAkM7vgROp2F8XrENsG3Enofe7KKIYzsE9C1BFk1Y89lAmCh8fY25kZV92Kw8g9IXmLyiZTvQf+60u31R5y41tOtm+MmqRrj5tJgnEfDACL4zKDnfhP6IyEc58N5ij4kowZGwFjUWPynTyBtnVZxzIWCSGPPoJXmm/5IIsrIKqYWStqero8CsJgmLGUTWmOgmQh9V3+jt2zKSta8bfLG6DFTmd3qq+uKKQMMIXRRTHYvH5lD00zHnYHZRfk/vHZ5jJoqB3dNNNCRWlQGWWF1e2XGTbaPzrimhsVtuQcPS2XW3GCqsv3oeWbFY82MeVRZkrUSRRn+vzvm7pXl7CUE3c2p9qnxfa/+3ofZE75XBLAHoDuJBjoym3u6vg5Q6ft+hivvpWLaARu6e2LGR12ngY68f4QQWizYH3lArCxZlpZsfROAnBGtb9AZa9mn3LpFfv5ttCwYFjUOuynOzof6HhOhBwVcmlTa5MF2UAMyD8xNhBFM2Nc/soxas9erUIL3nOxW2uSxPoOAKP6Tn4NWi7FanWIx2xvY7a2Rwv2DMVBuVs712IohaBNYrV5n9s6jgClqRMuVu1vsjki0B4dTuNVzdIpxLfFAp7zaNEz2DRBCjZW+K8f0zIP/LvxeQ9fR/bM0yACNqihRHcmMMX1fUnhX2517Vg1nr6F29Ie2o3eFvcO//YgedKSWLDM8/2yLft9z/lLOxUsjTWAdaBcw4Ivr+N2rFK/+Cu7q63QAabZpPf/DzP3QH6bsG8qOQSWB55vY3YLm+W2k53CtFj6rhMOq2G6PRPro0Qx9rA1zQRWgOx59u8Bveoq1Bm4xBbNExx8ju75N6+0beJtSLC6hWUay5VDjcPMWXbAki550UZEnnkU/8wy8+x76m19B+kLSfgyTLCMXruPtBv3VJfJTa8iiIEtAYiiKEDc2NvyvKyXE5h+1cErhhkcv+dAVvJWM1y8RDXdhC8iEsrSUm4pNlbSlqAfnhUKFN/oFmRWOzRuWWpZSHaUqcw1DO5NhJ+5EhMWmIbPCru/T9TlNm5KJpefLPb2zC8qKOdsYVrcTETKbDnXGTv1YJbm2ZpTq6bocj9KyGdlIlbmeL9h1ezW0nXo2yy5WDG2Tko0s/qUmIVEbFgtHarcoIT4tVNXxeP91zg+ag8okjAY6si+NhuGRUw0uXy7xE04pHorXvkTx5ufHxmivQ+drv4Y89vPIqMZVBDef0T21PK2DFsG1W8in5pDGhM533uCebtLfMOOLlkbIjy6ironpT6gLPCS5Iz2lYwZTjIHHzpJcbWHf3h4bY5yjef0m7kfWJkIHIRbvyhojYgWOWso8CYH7SVKQBaaO5woBo1ORldwpV3cdaeoxI08bIkI7FdrptCfrCRl9nemzU6gj15K2Gdc1D3TGk9qLsN2S1tQ/Heij63TQTj09XwZ1xsSYRCzOTcvzFHDqHspuKXfCQbyrGOKI3BGrq7a2BIe017Arj0/vSFpIDtQtDvrQ629qj/eYcxuw058+z+YO6eUrVY2QEVRDy6s6B0zB31R0UgWhiuz2QhuSSRqGNNG7SixWBTJqqwJK4ZGdmpAHSprUe1kziuTtS1iUmrk6Ogx3jOKr1O/9+hDWkYqdGQrxNeeBEFrZv+bKh4uBzC7qoCMPnDSBp59oAnDtesH5izndKr+jceZz6OkfRPMd8td/GXfrPM1HfpzkyCeRHUV3FDLFt0JoRLogTvCNYO0l99hOl2zjKunmTXgLQNGj85TPHUeKHvab75Dd2K5i1kLv7Bl6Z86AZkgX1FpcyyCqSN8hQ7kbuLcU3lLMETBrnuTcDewrVyB3oe2XGDRpwpF5zAurcKpNywSdclEqvb6Me+0jqA82Xl0VLwcoFN1VzK7Hdj2UwUtWAb9iYN3QmFdaLYZG2Hml35fQUKFtaKTcsTEzCKmYYQgDQoZgUYUuUjGgOhZSAKHnC/ojP1CZWFo2I5HpriyTzCeN6q264E2rJzWhIGihJYUypXVOTEJC8PZL7wAN6d0fUh9RgCyGOCLvByIy9J6PHU25dLVk2BRJDJI0kKRB87k/gfQr01I9uwtADjafOmj4X+uZe+fV4LEqQ9maXNomvXAV8b0xL1yA9ltvky8/Bil7YRKRILFLFdMf8bKr//RXofE738W6HEY9avXImkF+9nQoGDVinLIU8mIq4XEwDNcfvsM9jzcDe8Nhd0YyH6sfDHvTs/AxkIkVv8TC/ALMpeauCtJbhIYJBnd0WIId1lkZ6/MH5L6kW/PkkKsjUz9Wn2UWwxgzFoxS6nQikcOHr6dSkww7siBToZsPKwfx0xMNdOSuEBHKYoZnIMnd18D1PhjFul5/qjNCJD4UOKo71azTa4gxU5f0kdlwrjrjtO/bqTcu4rV+nIz8TRBs9l1qp2X8f8e3z/D693lDRu6urdTgtfsNqTveh9koDwghp/snGuhIJHJboq767jgoA/3hDABFHiirK8mUPlqEoEqwNY6oDCszT4l5NU3QVhYa743sU2tQk4aazRNKELUG29tiqkWUhMJFWuelCqEAkpHxHFwj6K0e6kMseRR1YEXRSY948E+t85QVPy/j+ujq/KKg07WZUIVQwlpr1kCn6ywPGDR5Hd0XHjr2xkyO22+pLvfl1Jjh+amfx2Qp0rG58+HWOd8OK3f2tx/Rg47cNU881uD0yZSLlwsuXikAZX5NWVhXTAL9Tdi+AP0tQRPwbQkqBwXpKqYHoDTWoXlMMJ9+Dq7uot+8jL57C99q0T19inx9FbyncfkCrXNvIf0e/skTuI+fIVtdwPeU8hq4DUENaAu0aXFiMbueZKuEHHRB8KuW4pknMZ2cxluXabxzFRVD/+gx8vWj6LcT0iVonlCSuVDcqHdJKLYAGzTRUiWm+B3wOxLi5QlIG8gUYyBpeuySwCmDv6boRYUS5k8als9asnlD4ZVu6emVinfQ7Qj9nnBVYLGtrC2FhVmnSuGVQRvd1AjJSBhCgY4vsdVCoREh956OcxTqMUDLJrStHcrdEmNp28ZwgW+0xkbQUJc0TUrTpgjCTpmzXfYpVcmMZSkJNZ+hktAZi1VTaapDJQ+Lmarv/FEjhjgiHyiNhuGxMw2Wjju2ymLMm24uh793X2fcnRbQOSE56llYHdUACxybR37/k9z8ruD9yKVtDP3TZyiePE3rmIMRHbBpQvaI0m0Kvhh36f28JV8wmEzHPGY/16D7whl6Jx6BXcbGFJtQbA5c3ZE35EBvgt8CzSbc8xJ0C1pnHWNlthPBnhCap2G9ZTEjrlJqhDSzXL/uyQuGx1OFzd1QTvTIuo71sA0LfOEzSyZCDQ6l9CUdN+5+e2DXlaTGsmizsRBFJgmZSbiejzfmVUIFu62yTz4R/8+941re5VQzIRmZ3EBTnagd/vujjhB8kvvlo/sTFzkQRGRm1a4knX2jzqpbFIreTz8WB2Vy/eUaQiczhNAzrnCZkWerMNaya3yQztYn19R1rgbVrnPCbRbXZmzfLz163zF3eZ7b7at9/V0uMn6YGXjQMdU78oGynDZZSpvslgXbZZ9CPU1jaNuEI08LeQGXrjtu3AqP81JAvivcvGbJ5pXWmsc2g5Stnwv2KBiv+G3F7wr4yrvsCZ13LbalpCuKNBVfCMWO4Ccz/ERJ2550rtIgOyj6BleATaDd9qTrgEL/htK7IrhcoA0sAgloCWwBHTCZkqwrdgXA4XaFYsPg873zds9ZxEKy4kkXFBUo+0KnL9wE5lrK2iI0M8UjFN5zZD2IVLa3ld1OiA4vzcPaYpCieYVC/ZjwJFfInScRgvZ4xCC2rBl62m7EiG+WOVtlTtumLKYN0qrHYKmOlgl1UIoqrVwIJUnbSTANuffsupJSlZZNWEpC2nhcNLw9sxOH7pxooCP3hVSF3+eTlLZN6PsQkx7cvI0MHj1uSZzj8qWhaBkU8m0h34X0RIiEDBYRxYJdAk0U3ag2Vhe76wqup6FYkWUqvdpmnuaqH6v4KQk0rCdNQpbe6L7mEUiWlc2N6hyDw6XAKqSnHMmgpWK1L5lXTNPRfc+OnF9QB+UNS7GjyLwy6oPudqHTU04cU6zV6rMLi0RLi7C6pDRtOMlQIi5g1NB10z1MSgXvPE1rxjxXARpG6Ds3VglVgV1X0HMFq1ljRCIn1eO4HWkUszeHzBgyk9G0GSB3pdP+KCPcfgHwTogGOnIghBt+UIx+/Mo0RtjdqRtFlR1Y8wAuQFEnx4CqG2yt1tgk4wZ49HjW1IQVJHixYmpqX0vwuOtUKcwI0aiCpHUTqOZXE3IJhrrSV0w+DMjspHMj9Z+PyMzpYarjTX0MMwzvnuGP4Yu7JXrQkYeHh/Xevl2Q9qOrIovsg0HIDuCij4uEkQNjv8ux0aj3HmesrAXMUD1dc6L6cb6crrccdgR9cF3nJqHSEtclLc5a/LPhHLXNVtzs+c16u2HKd7f455nx+ewzps57jjwYLHJHf/sRPejIgWHE0DRZ6BQ98ZB95qxlZVW5fMmzsx0SH0wK6YpiGiFBwzsBDY/g6kAzYAnoamgSAMGlaAENQtq2Y/g8b7oec8lRnlPsSUHWqovfg7+o7F5TkmWhcUYwTUAk6J0vC+wqLADzYfvgvsk7BpNA2vQYu7er2YTmk47eLaF30wxVKY0lpbnqwQR9c5GHeK41sLAw+8eoVMU7JZnQOkNY/CsrTfTgCAbI9tEZN63BKRTeD7+JRIQ5e3e3vCAf2nKgD5Kg4oghjsghY7QgfM/nY9uXloSlJcPVrYJruw7T2BtnDKhVettSGbsq4y0Nf+rZSwwZ2E8DmoC9UGJ2PTLym+DeVHhHkTboSNnn8ppSXlN02aAiQyWGANwCvQU8MupnCr6E/o6l2XY02yNPAgbmjijtdUfZhaQ5Hq9Os1BLJEFIs3pvexRPUGCU6HDxb/DZpSKkJiSvCNxRo9hEqCrGCakxd1QIaYCpDLM10TjfK3ZGFcS7IRroyANhvwWlNBNsOf1wLsOYbs3Cl6E2ICcCptQx4zzEjRvnUXwXNLlrpW9t/V4RSNv1I6yFLBScOxDsPSzUWZG7Ms4w0LfHCOi9Ej3oyKGnabKh3nbwcG4wrDebrDaaXOn22ejlob2hBi20aYB6pVLrsb9lC7U/9EkbwiBXPGwHDzNZhLkzhmxZ6F5UOuc9vg8YkHUhOwV4T3FV8FvhPCqgqcBNQhpYu0poqc5TKmzvCo2Gkib7e8SDQnx9Bx2UZgKNtFJRqFJ4KH1IckxNVc2uOqAHOs5XXvPt1RNelcJ7SmVMHx3aWild7zBS0rYJDWOG0jorNnQ7qfmODiqssdday4VwSdX38MOuCJE7iC/fCdFARx4YIqFBqRWDR4ddOAY35yPzLU7ONfnOtV26Rag4IZUO2piwQOeL+mUtkygyNJISLNOcYIHVecVmDOsuz50R5h4VdraVvqmCJ5X9aTwafgx65wX1Eg6oQB/oKywodmkwg5A80usJXTzzbWq7zJQOionFyG4BnQKaqY4Z9oERN0AjGU/+KFQpnNIwEmR4E0bNq9Kb0EiXCqWbfpzwqmyXBTvA8eb8WL3o/b6j+yF3xdhahDJoHCA0TPqhNtIDbfn9Eg105IEyuAmNTt/0RoTCKb06IywMY9G1x530YKvMgEZDsc3xAvbBFglFWnM0A74MnVrqRNKmrVOblaDtNjUtrgBq7ONt1XjGzDaKdcYZQjz6blR+CmTGYie6puz3Hd0PkwvFAz4qyS7Rg448NOx344vsr7Z7P5g1h3u5xR5W8/Nh9mjfb0KI4/5j+NFARz5QDto473eomUZ4nzmon2Fw9z3RbfbPYj+Rcu1Dxt2faN9T6CAFXWq31+2L1HNQi4RxmTbygZJZw8fW2yw27LDihgDWKMuLyuKCx5jpMIPrV1rpCfvU7cNmJ8SBvVY19VVxXmlUtTgmMS2lcdSH0qRSJX+IYptKq6Fkadg2Or/5hjCfGCaFIAK0M2gme6/de69hQXC0RoNQaZpNkNHV3dJdF5rAhkp2e9uthHGTY4JGWqbmBuDVsVX2KLwbVsYLRfk9hZZhsXBku2roCF74Es/49tvRMGltU9iPSndvi7mjv/2IHnTkA2epmbDUTOiXnjc3d0gSJRuJMS8uKFvbytb2aIFkweUAim0wVlu624duX2mkMN9S3CBJUCBLgtHuF3u+pwgkC0qy4HB9kK7QWFSS5t7pmg0QH2o5Lzb3Gp+2MTivbBUuFDeSgRYc2pmSu9BCcaDgGOBVERUyO67USFXD4uBIjdJBhbocpWkEO7LAN6qPdj4kuoyeJ1Ol9Fqto4bzFOrYLLtYhDmbBcM74omX6obncCN1YZ0PRagyk91RHNmIoWHNUMlhRDDcvmv4h4EY4oh86GgkhsX2dF9XkVAVz0hdD9lZj/lCUQY526Q9EAmLcnWLebYBzflpj10EWg2YS8zUPmuCoZ2agQiNGXeYEaGVTHfxDqoKKGalitcfDiuCnTGHdEZZNUcwnPULkPULfPcSuRkU9P8oIQiZ3v97jiGOyKFiNW0xb9Oph2CbwPKyH4YbBqiHclcou5NNAJQkmVGvQ+uNM0A7FRYzQzbRhWDwr9w5/ETPvnJWRf7bkDtP7vx4jBdomZS1rEVjIovPq7JbeHaL8TkANEzCvG2QTuiXTeUlt202lNANyMSSmXToLY+SiCUVOxWOMIPI9we9qnvICTHoGOKIfMho2YSmTVihxVbRZ7PsA6FHX2Kh1VScgxs3oL8rw9iFFoLvKrahzC17siqNfNQ5dD7ok+tsy1LDsJAF3bQRoWHDQ3+39DjVKnQBJUFnLASPftLbvxscVd9Bp2QiLGdNmiYd7m/bFK/KlV6H7aIc/izlXumUjoYRjrWatGyomyYiZCYBlL4rScx4wknLpBTqcOppVOcJCS2GVEJowzCeQWjF4gkxaisHsez10aEu/n63RAMdOVQMstxg+jFbZC880d+ZXIIDENJUyRr1WX55WX/OZiIsNMZjt4N5DGo1T6Lcn3GemoPNaE4kb4QfARkzzqM0bELLjseDBzWim7Y+ESSl8oxrdNAJ9T0FLfKRyP47SGIMOvLh514Mgty9Dnm/19+rYu5uOWjTd7sC/Ae5L1KPjZmEkcg0B1nz+GGNtO7XM3DWvthn8OAQDCnp7V94G+IiYeTQsphkNCcWyoJuWDh9zJImMq5r1qrP4U5VsrSKkKiriuhvg8+rxcQRy9srlU6hoaB/tX2gnwbGtt8JdYX3hnrnQehkYn8xUqxocN6gT1ZWshQzMUaA0vupxcJR7bIfaqfH9c5uZPvomNy7KX105N4I3/ed/d9+RA86cmhJjeVYc57Se7bKPoV3LCQNWjZB2sJjR5WNbcd33+lR5kAJqsL2rkWs0lz2ZG2lf03IN6gavCqmDekjigl9UFHgZtez0YW5TJjPhL5Tem5UXaFkNkjq6jCEWPWoptmPKDzaSUJW1cAIxtDT855MLItpg2Sk3YyiFN7RcwW5OqyF1aal8EruhIaxrDYaNEYqNakqHsVVi4DVgRgtuD9asa5QQk0ONfR9Sd/vCfsswlwyrQiJ3A0SQxyRjwaJMaxmrantIsLqYsKcMWwV4wuK6oTuNUO/N1V1Gt8Bv6tjDQMgGOqdPJTorCuQ5JSZt9xogf0BRoSWNTTM9KJcw1oW02ZtzWWnynbZGwuvhOQXYS1r0pjRFSX3xdQ2RSm0fnXUqWfX9ae3o/R9SVpXqi9yRww86PslhjgiDzVelXTOk7WmH8ebTVg9bpi2Z1p13q6n9HdXOEmARCZVxvuPUQ1GsPTTTRKd+pmx72IkDDFJnZ75diRSn3gtg3nEMMc9Ineogt7/RzB60JGHksI7tsqc3TJn7ii0joDLYeuqkGI4ccLSalfxi6fg1g3PlQslZctj1/YXiJQu/BkJ2utGAsmgjvQIiciwCP4ATyieL0KV6DGugAjF9R2jwjmLoWkSRITuRA3lSXpa0CsLDELLpGNyulQSUgmGdZbXPEkmFqTKKvS+yvoLPzaFliEUgiGt5he5M4IHHUMckY8ol3o7eyauqoFhmnDyjLCQJMNaGQNWjhhuZlWT2Tu0M16hYaniyuP7DMJKmoXTj+y07NXpqKsK1/XThtPh2R3p33hHc0Mp1NGslALjczCUKjO7hI+yp4GWYXx9ct4OfwB6hI8WgpCS3fdxooGOPJTMMj1Gpo0pBKPjVe9afzfIIJw+XlW4v2bn++Vp7q91vvvQRPSQDxKJHnQkEokcTkIu4f0SFwkjDyUtk9QkekOpnllu8lKWTGmQB/9tZ2Qg9stKlzzhkHrV0HJqQi880C7XbVfV22Yt3g11C4wD7AFL5O6uuVYkpOnbO/rbj+hBRx5KjjbnhvronTInEcNS2qBtQ7TU4ym9w6NYDImxnF1scMp7rnf7XO32MSKsNi3LjWC4u6Xnerdkt/TDBUIEuiUkRkNB/SoMoMBGkZOI0LKWprHDhTZXGbNEhLTqq1Gop6xRZ1gM7SQLi3VAro6Oy2eW+4QQ/27bjMY+C3epSUjUUqqjVFfNJ3TxDuEeT+EdHo9hr9s2MOzCrRNjIndDDHFEPuIM9NF1GmmLxdboeFNjODHXYq2ZTKkl2qnlkcTw7m5valxZvTSbOGSpynZZ4qyfMmKlKuU+aorlpEUykSnZkGAot8purc+6YGfroCcZ1GFOa27zQTH9OmaNidwd0UBHIveI19BFpM4zTEQoa/S/9+pD3u2S3X7aY63aTtUpRBRF7qLqnKriUGysVHfgCAYrUcURidwxqkGa1nUFRfXYbxFSY8dKip5qN3CqbBYlO1Urq3Zihl1TXNWSylOFMWrSvwVIxZBUySMDfbRDyUxCuyqUP2psQ2p4icPTMgkeqvrNWs3T4NXT8/kwbCPIWBhDCPHn/cISXpW+K+j6Al8Z9ZZJaNo7a2UVuTMOYpEwGujIR4bNslstIu7hULwvw6Kj7HmSiQgrWcpcYijVhySVynYlIlgZdjSckuElYsjEjO0b6KObNuSXTxrC0rux5JJB6yuDHZ531OA6PM5Px6mVkcL7Nf3/nHo2is7EGKXjC5CQ/BK96QNABDmANl/RQEc+MsxaeKtP0q66jcwIg+xnxGaFDPaaANSU+pwRBLlXYzn6YzOKr5QkdWdL5KPR0PX9QOIiYSQSiRxe5ACkjtFARz4yWDFTIQ6Y7b0G3fLdZ+XNLnU0ctwRT/V2+ui7ZaDFBh3z2HUf7xn2iiNFL/ogEExcJIxE7pylpEVR6YwHhnqw+DZgWMSekPTi7sI4C9AcFDAixJUnpXw9n2PFkLDXMdupq/3hCFXyguxOJRRZGvyYjC4SFtXCYqgJDR1X0sv7NEyoNd004Tb3eJw62iahUE9RnXMw7/101ZG7Q0Il7vs+TjTQkY8MIkImCZlJ6JU5nmntMkDPl/vUk6tnMWmFKnAjx8usofTlUDEywFVdTYTZBY0ySTATx7PWDmPI4+dJKb3jSr47Jg/seUev32HBprSSvcft8DlYUg1V6mIiyoNAYogjErlXwgLgDBnaPRxv1gKbDKoq1TBzYRCZMs4DZsngZIZ2G2aHXEQkGucHSTTQkci9kZqEBK3SmicyCk1SZQHuV5k5EOo7e86XWzRMwlLaoFFlB95NXeZRFB3ROieYqhJfz+V0fRlqQdsQkoBggEtfsp416HtHxwXttABzScZy2qjqlOy919FWWDHu/CA4mGJJ0UBHPpIEyZuQIiQofS2G2yHUR05EyCeK6w9QVXrOjxnwni/p98sq9nv/FZSD1jmn7xyjQReHsuP6dFyflt07jxGhaUJdECOWrDLgA687RUiFYcbh6PuNHDBRBx2J3D8igsdPhSGC3ZKZ4QGlPhSiQDajsey9MisibqoGtJP9DgEyY6fCIcPXaTTMDx4hdCW+P6KBjkQ+YkTj/H4QFwkjkQPidlWa71IHre9PXFeVfac+q6jSgGioHzDRQEci949ByEwyrB89un0haZL7kp4vxsx0JoYssXS9Ix+piZGI3HXBISGURxWhqhk93lB2KWnS9yW9kX6GgtAwCalJqtrN4/Mebcc1qu3uVrWmmzYlZVx6FzlARKKBjkQOglCYyA51xl49Rsze4pqxtDUbGjc7UueiYS1Olb53ZGJIzJ03KUrEYsWMlQhNAK8erxr2DeeQMKdK35cYkdAxfLj4Z2vHDOj7ktyX5CN67Lx0VePbdjTOD4RooCORA8eI1LYhEgllSaUm2mFFaN9hEf3xcQYj0wY9/DhMv15EaNp6dcisMRDkfrlOt8e6XUp65N4JyUTRQEci7xsDb7ccCSlo1ZuwqDzryWzC/Sh8GaR+IynWOtBfq5IYMywZGrZ7ui7HiKFlQz3p2+HVI4SQTDHRcmugo77TeHlIJQ+txIyYmOSyD4qgUcURibx/CIIVwUoonL/r+uQjSS6+MtRp1QTgdsYrmEvF+byq3TDu1Q5i294rfR2Jj6uj5wtSMSwkzVov3Kmn8GVVLhUSLIkYPOGHpmHSmaVPJxn8aJQjXriv/m0xYz8wkQoRMNGDjkTeN8Yr0DFmnEepM5i3Q/fpm92dkY1oKo++joFxHjDQdacI2T0U5S9rQiThuNEw1xNj0JHIB8p+ArwP3nC9f/HlD/69HlLu4Yd6kmigI5F75CBN4ECefHC27u712wM53t0a3FjLo4YY4ohEPjisGNompTuhjwZABLNPmvgoA6PodFDnebpGRsNYcj9dmTp0Jq/PVUlNMhXmgKqwkjqSSgM9WICEqpehGMzEifyMUM5w/tE21yCouf96LNFARyL3gIjQThq0NCNXR88VZGJDsf4RRUZedc6uo6y6fI8V69fQDTwdafiaiCGxpqojHYx4K8n2VXFYMVib4dXT98X4eQcLfGKwakJRpsEc1A07g08qVgaEhrRCEhcH90WjBx2JfLCICA1JhpK1yX2JseS+fpEv1/p+LU6VtMbuWTG0TIK9ixvfiMFipjq7hPP42u2DzuCzSE1619mSHzlEYgw6EnkYsGJqO4onYnCqUx72frf1LNWGr7q0WJmuYhf+PT2HgafsJtLLwxwMIrM7oUfugLvIKp1FNNCRyAPEELIFU5ku4J9W2xWq/oAaUrgZj0EPiusPQhqDRbmQJOPHwhClumH4YfB6KxYLpMJIEozFMAihWJTQ89DIXiF/qjGuKvSfiB1KCOPC4O3R6EFHIoebUSNmtL4+swBZ5TfXGb1Gtdg0uc9T37HFV828BkZ0dFyCDRLdyVrRyLCO9eQ+i8WKrd0XmYFIjEFHIg8T+/UnvJ3hq9s/owXhvmP2O8+sfdEo3z2KoPdQn2WSaKAjkUjkoBFiDDoSedgwGPxd9g136rGMF2FSDX0F9wrwy1iSi1M/VsY08n4jaDTQkcjDg4jQsOlY8aHBgt5gwW7QodujtYWIfLUw2HX5sISoIVTRSypJXWLsPdUDiRwsegA/jtFARyLvMyJCKglpze1nEaydXaZyp+xN1Xb2KLk65k0zesyHBSF60JHIhxHVUNuuLkRR9V/Zp/Zd5FAggiZRxRGJfGjwGorhD7L7Bokko4Xx55IGc0DuHV2f41Vp2pTmAdR9iBwcStRBRyIfGkrvpjTNg5RrKwaUMU1zZiyZaQ1fG0Mbh5BZPcjugmigI5FDwH4hi7pQx2hBpmicDyEiaDTQkchHm2icDy/RQEciHxLMPlmGHsVoNMYPHVHFEYl8OLBiaRoz1pxVquazJiacPHyI4G000JHIh4aBPjpRi0KsufywcwC5QtFARyKHDJFZVZ8jDwsqMQYdiUQih5dooCORSOQQEj3oSCQSOcQcQJwqGuhIJBI5aETQJHrQkUjkLtCRNixRuvdg0ajiiEQit2NglAe1PXzVANaO6MCisX4AxBh0JBK5HaV3eDx+JFWx0JJCoWmyaJwfBEKMQUcikduj6JhxjrxPxBBHJBK5Hft1E4dYEe+BIKAHYF2jgY5EPuQkEjp7lBOtskIDWw31piMHTwxxRCKR2zFa48Ojw0XC6DU/YGKIIxKJ3CkiEprSRo/5wSNEAx2JRCKHlYN4QIkGOhKJRB4E0YOORCKRQ4gA9v4PEw10JBKJPAAOItQfDXQkEokcNALI/ScHRQMdiUQiD4DoQUcikchhJao4IpFI5BAi0YOORCKRQ4mgiIkx6EgkEjmURA86EolEDiMCElUckUgkcjiJqd6RSCRySIkhjkgkEjmEiICJi4SRSCRyOIkhjkgkEjmkHEBT72igI5FI5KARogcdiUQih5ZooCORSOQwIjHEEYlEIocSAWyU2UUikcjhJIY4IpFI5DASQxyRSCRyOBGigY5EIpFDywHY52igI5FI5EEQPehIJBI5hAiQHICFjgY6EolEHgAxxBGJRCKHEBEwB6CziwY6EolEHgAxBh2JRCKHEEEwBxDkiAY6EolEHgCJuf9c72igI5FI5IAR4ABKcUQDHYlEIg8CiYuEkUgkcvgIHnQ00JFIJHL4EIkyu0gkEjmsHIQHfRBx7ClE5BdE5G0R6YnIiyLyY3c47oSI/A8icq0a+x0R+fFq378rIl8Vka1q/y+KyPMPYv6RSCRyPwiQiL2jv/04cAMtIn8K+CvAXwa+H/gS8Esi8uhtxi0DXyS8tz8IPAv8JeBq9ZKfAP5r4HPA7wVK4FdFZPWg30MkEoncH4LInf3tx4MIcfwfgb+pqn+j+vdfEpGfBf514N/dZ9y/A1xS1T8/su3twX+o6s+MvlhE/hywCfwI8IsHMfFIJBI5CMIi4f37vwfqQYtIBvwA8PmJXZ8neL778UeBr4jI3xGRqyLykoj872X2T8wCYf4b9zPnSCQSeRCYaqHwdn/7cdAe9DpggSsT268Av+82Yx8HfgH4L4D/BPgk8F9V+/5qzev/CvAS8OVZBxSRvwj8xeqfOyLy2m3mMMk6cP0ux0QikYefZ+5n8IsvvvjLIrJ+hy+faWPuyECLyH8E/Hu3edlPAt+r/lsnD1GzbRIDfE1VB2GQb4jIU8C/wYSBFpH/HPhR4EdV1c06oKr+deCv3+a8MxGRr6nqp+91fCQSeTgRka/dz3hV/dmDmMedetD/JfA/3uY17xEW7hxwfGLfUaa96kkuAd+Z2PYq8H8Y3SAi/wXwp4GfVNW3bnPMSCQSeWi5IwOtqte5w0d9EXkR+GngfxnZ/NPA373N0C8y/VjxNPDuyLH/CsE4/4SqfvdO5hOJRCIPKw9CB/2fA39BRP4VEXm2Mqongf9m8IJq8W/SwP4XwGdF5N8TkSdF5E8A/ybw16oxfw34l4A/A2yIyPHqb/4BvIcB9xweiUQiDzWH4t4X1duFhu/hoCK/QJDNnQBeBv5tVf2tkf3/AfB/V1WZGPcHCfrpZwghk78K/FeqqiIya6L/oar+Bwf+JiKRSOQD5oEY6EgkEoncPw8k1TsSiUQi90800JFIJHJIiQa6hnst9hSJRCIHSTTQE9xrsadIJPLhQUT+myrnYnL7/0VEVETqspsPnGigpxkWe1LVV1X1LxGSaP71D3hekUjkfaCq//OHgX8wsf2zwL8KfOv9mks00CPcZ7GnSCRyyKlqzOuMv/+getkPAk3gt0fGLQH/E/Av8z4WaIsGepz9ij1Npq9HIpGHjz9a/e/PEfI0TgIdguH9T0de849VtRwZ99eB/1VVf/39mWYgGuh67qXYUyQSOfwcI9zLX1DVy8Ac0AZ+W1W71Wv+CPD3BwNE5F8FngT+r+/vVGNPwkmuc+/FniKRyOHnE8BbqrpT/fuTBA/6DQAReZJQ+viXq38/QxAM/Jiq5u/3ZKMHPUL1BQyKPY3y0wQ1RyQSebj5OPDNkX9/EnhZVX317z8K/Jqq7lb//mFC6PNlESlFpAR+HPiF6t+NBznZ6EFP858Df0tEfpdQYe9fY6LYUyQSeWj5OPBLI//+JOMG+48A/8PIv/8+MFkb+r8HXid41g/Uq44GegJV/Tsisgb8++wVe/o5VX13/5GRSOQwIyIGeJ69xUCAJ6i6MonIEeCzwD8/2Kmqt4BbE8fZBW6q6ssPdsbRQNeiqv81oYN4JBL58PAEYVFwVMf8beD/LCJfJzhkX1XVQ7PeFKvZRSKRCCAi/wD4oqr+Pz/ouQyIi4SRSCQS+CLw//ugJzFK9KAjkUjkkBI96EgkEjmkRAMdiUQih5RooCORSOSQEg10JBKJHFKigY5EIpFDSjTQkUgkckj5/wMfdEP7DQxjiQAAAABJRU5ErkJggg==", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ " \n", "--Elapsed Time\n", "Data Reading: 00:00:02\n", "Structure Resolving: 00:00:00\n", "Lattice Parameter: 00:00:01\n", "Tilting & Distortion: 00:00:28\n", "Molecular Orientation: 00:00:02\n", "Total: 00:00:32\n", "------------------------------------------------------------\n" ] } ], "source": [ "# Import necessary module\n", "from pdyna.core import Trajectory\n", "\n", "# Create a Trajectory object with reading the VASP output files\n", "traj = Trajectory(\"vasp\", (\"POSCAR_mapi_example\", \"XDATCAR_mapi_example\", \"INCAR_mapi_example\"))\n", "\n", "# Call the dynamics method on the Trajectory object\n", "traj.dynamics(\n", " uniname=\"MAPI_test\", # A unique user-defined name for this trajectory, will be used in printing and figure saving\n", " read_mode=1, # key parameter, 1: equilibration mode, 2: quench/anneal mode\n", "\n", " toggle_lat = True, # switch of lattice parameter calculation\n", " toggle_tilt_distort = True, # switch of octahedral tilting and distortion calculation\n", " toggle_MO = True, # switch of molecular orientation (MO) calculation (for organic A-site)\n", "\n", " lat_method=2, # enable pseudo-cubic lattice parameter\n", ")" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The shape of lattice parameter array is: (1000, 8, 3)\n", "The shape of octahedral tilting array is: (1000, 8, 3)\n", "The shape of NN1 tilting correlation array is: (1000, 8, 3)\n", "The shape of octahedral distortion array is: (1000, 8, 4)\n" ] } ], "source": [ "# The computed properties can be accessed directly from the traj object for your own use\n", "print(\"The shape of lattice parameter array is: \",traj.Lat.shape) # All the output proerty arrays have shape (N_frame, N_object, N_property), \n", "print(\"The shape of octahedral tilting array is: \",traj.Tilting.shape) # where N_frame is the number of computed frames in the trajectory,\n", "print(\"The shape of NN1 tilting correlation array is: \",traj.Tilting_Corr.shape) # N_object is the number of objects (e.g. octahedra, molecules, etc.), \n", "print(\"The shape of octahedral distortion array is: \",traj.Distortion.shape) # and N_property is the dimension of properties (e.g. tilt angles - three axes, distortion - four modes, etc.)" ] } ], "metadata": { "kernelspec": { "display_name": "base", "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": "3.8.5" } }, "nbformat": 4, "nbformat_minor": 2 }