{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Script based external simulators" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In this notebook, we demonstrate the usage of the script based external simulators, summary statistics, and distance functions features.\n", "\n", "These allow to use near-arbitrary programing languages and output for pyABC. The main concept is that all communication happens via the file system. This comes at the cost of a considerable overhead, making this feature not optimal for models with a low simulation time. For more expensive models, the overhead should be negligible." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This notebook is similar to the using_R notebook, but circumvents usage of the rpy2 package." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "# install if not done yet\n", "!pip install pyabc --quiet" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/yannik/anaconda3/lib/python3.7/site-packages/distributed/config.py:20: YAMLLoadWarning: calling yaml.load() without Loader=... is deprecated, as the default Loader is unsafe. Please read https://msg.pyyaml.org/load for full details.\n", " defaults = yaml.load(f)\n" ] } ], "source": [ "import pyabc\n", "import pyabc.external" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here, we define model, summary statistics and distance. Note that if possible, alternatively FileIdSumStat can be used to read in the summary statistics directly to python and then use a python based distance function." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "model = pyabc.external.ExternalModel(executable=\"Rscript\", file=\"rmodel/model.r\")\n", "sumstat = pyabc.external.ExternalSumStat(executable=\"Rscript\", file=\"rmodel/sumstat.r\")\n", "distance = pyabc.external.ExternalDistance(executable=\"Rscript\", file=\"rmodel/distance.r\")\n", "\n", "dummy_sumstat = pyabc.external.create_sum_stat() # can also use a real file here" ] }, { "cell_type": "raw", "metadata": {}, "source": [ "Note that here we have the observed summary statistics encoded directly in the `distance.r` file, such that we don't need any here. Alternatively, we could also specifiy the summary statistics for real here via a file.\n", "\n", "Example of how the functions can be called:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "{'loc': '/tmp/modelsim_n6oahdmc', 'returncode': 0}\n", "{'loc': '/tmp/sumstat_nys4kf_l', 'returncode': 0}\n" ] }, { "data": { "text/plain": [ "2.994722" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pars = {'meanX': 3, 'meanY': 4}\n", "mf = model(pars)\n", "print(mf)\n", "sf = sumstat(mf)\n", "print(sf)\n", "distance(sf, dummy_sumstat)" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "INFO:History:Start \n", "INFO:Epsilon:initial epsilon is 5.276756500000001\n", "INFO:ABC:t:0 eps:5.276756500000001\n", "INFO:ABC:t:1 eps:4.03523\n", "INFO:ABC:t:2 eps:2.3500524869456942\n", "INFO:ABC:t:3 eps:1.857179536835703\n", "INFO:History:Done \n" ] } ], "source": [ "from pyabc import Distribution, RV, ABCSMC\n", "\n", "prior = Distribution(meanX=RV(\"uniform\", 0, 10),\n", " meanY=RV(\"uniform\", 0, 10))\n", "abc = ABCSMC(model, prior, distance,\n", " summary_statistics=sumstat,\n", " population_size=20)\n", "\n", "import os\n", "from tempfile import gettempdir\n", "\n", "db = \"sqlite:///\" + os.path.join(gettempdir(), \"test.db\")\n", "abc.new(db, dummy_sumstat)\n", "\n", "history = abc.run(minimum_epsilon=0.9, max_nr_populations=4)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note the significantly longer runtimes compared to using rpy2. This is because the simulation time of this model is very short, such that repeatedly accessing the file system creates a notable overhead. For more expensive models, this overhead however becomes less notable. Still, if applicable, more efficient ways of communication between model and simulator are preferable." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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\n", 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jv+cfwI033pj5Z33jjTey3/MPiH+CRgo7OYJ1AY5Y+QomJyf4l698EYBarcbFH3o/p7z+DYyPL+Hff/gDnnjicaamJrnuums5+KWH8utf/4qlS5aw+uTXc/aZb+Puu+9g3+c8jy1bHuPHt98KQHWmyk9/em9wQWCHpTvwwoNezIf+9wc46hXHUI5/7W6b2MbuK3anOjPD17/1tUz/bRPbWq7z3H2ey4MPbeYXD/wcgK9t+BcOfelh3cwM80ZdpaNjsTEYE7rjDDhnvfPtnHnWWdxwww1Uq1VuuOEGzjzrLM467x3bdV0R4ZNrP8+3v/F1Tjj6SF5zzMsZGxvnne96LwAvPeQw/uLdb+fUk4/j+N8/kRe+8MXcd99/cdobXsPqU1/N3/39p/ij/3Ueo6OjfOqStXzskg9z8uuO45Q3rGpM7iFOPP4k1n/jq5x4/EmNuvP+6M84/YzXcdafvJXnmgXME48/icuu/P845c2v5Zebf9GoHxsb4yPvu4jz/uLtvPaNJyJS4k2vz0sBtXAkCr2TY7Exr1vQ9YqdyrvpEUteE7aXh2zlkLWXVyotfRt1tm8lPT/jjx1fV/Ps5gF7eVHiqTy06Cs2aDc3LzJ26QLPlLmkhq201rVct5RflxmXfdZA38z9c8qp54mpC9nFx4wt3NjFdcz4M8Tl0kiaOrU8krZXKlF9pRzVfWLPVfyP57XfCMHuiLRh3b9w2cc/zaZ772O/5x/AWe98OyecGvZyaaTNrQfqmsoNn3WTf0VqrX0z7aFNJwrzt5hyN7sf5bL9/u8PPfogHzrx05m663Tdrap6yFyv+bsvGtN//Nc9Oup72HN+sV336jVuQ3ecBeLE15/Cia8/BUgDexYgvbczBxajOaUTfEJ3HMcxKMJMKAR4ABiYCb2xAJoQm09yzSwhF8ZSnkkmYFIpB8wvBWYWMGaIHNNK0KRSZIbJM9kkrms5GRCT9nrmuQpMKnm5wBMzSm5gUaBvjkmmMe6MK6JpLzC5BE0q1lXRmldGk7pW0wqAjKa2iUpcHhlJPSrGR9NypRSdN1KO+onUKUm9xZMkzxpRz/hhJnYSCXfugiRy36YJKNSXeal4i9pDudW7Mtv2zsSraHe7HXV8XagP6PLiYI7acRYBD85uZXrrtkL3O6f3KMrU7BQPb3pkXq4/qIuiA6PQGy6LjZeltD4hT62XWhdQM6H7IQVetAdmJ/tdJu1dqPKg6S5ngbVw0bMoGCgQOBTaocdeN6vqA/ey9YUK3t6rtT2UGAvCCr2WUeWBRU+jystjqSofMQp8bDTa6X6JVeiVato3VuaJUv/a1PcZ+U2NZz+2CyXEiFfzXmTWE0198rceVujSyH9g69JydrOKwPmhzSzyVLU29Wtut8T1GqjLRXNfzBm7Y1GvURVqhd4Ji5PBmdAdZ5GxjSmumLiu8Xq2Hk0C1Vr67TQ1m377TMyk5anpqDwzab6dJtPzShNRubItnfArZqc1Wx6JXbxHJtTUGe+cieiLqDyZflGVJ9IvKpmOyjKV1jE9k5arpn42upaaJF1q25PJ3WwMnTGLmFXgoLlkkawS1xeh+u6EwZjQReLgoNZQ9dxd6EN9Q2lubTkvzWy7OujAYDlHgjv3BMaYZ2MvSpIVDNenpS5TzoTj59jIO7xWSJVD566IkKrxjCofb7WXl8eMEh9LJ6AltjwSK3SjysfLrTb0kpHK1htihuiBkom9HQ21bn+S1cwv0Fr2L4CYYMlS1Zaj8ZRm0nGVZk25Ws/8ja4VKNfM+1YPlzWZqG17yAXSskgm6U6JFkUHY2psZjBH7TiOM08M8qLo4EzoIqndPH4NFKvu5nJM4d6b3dCaiymjWuxmBA0lmtmtYG5jadjQMwq+tZz1ksnpG9h4o/BauePKP9/eK8/LJRFHmmdDN2o8KYcChCBV5nmqfIfR1LSQKHOrykdLxgsmLtfNwGcD//GtrbxmPvvqbPqQtdl4XaaatpdmTXkmKlslXs6o8tb6ctWo8plWBS5VI/eNSSQxo2Bzndv2QMCR2nZLrMbzvE8Ws5nFUnM/dMdxnMFHEWqu0OeZkmTt4iG7t0V6+IEkatp6JJSMArddCzYokUA6VM1cy3pCBHyViyjwkskVHnMRJDnKP1iXCf2P/9q60EYSGc+WHC+WpGxVufEtH429WKw/eWIrh6y9fGlcDqlySz1jMk4fcjZ+oKr5uTFjFkhnjUKvV6OyzKRvQmnaKPREdU+n9yqZdcqytZfPJDb0uqmz5dhv3trNZ6xCj9+bIrs5pMo9x27eUOCLUHV3Q929XBzHcQafKDmXT+iO4zgDjyJUPfR/sLBBFI1i5mdkq3klc06e+SUQ0q1NRpnmdhsEMqd/R71c4O0FoUXRQBBRPWBmseW8XYbsLkLEQUI2Q2IlEywUlfPMLBm3xPiDCJlZIDWvzJqHsSaVydjnfGo2fZhp43s+O2M+3OnoGiVjcikbk0tiailbM4sxv1iTS3kmcUtsdVUEsxiatyiauCta3/GQmQXQxBST41seIjc8f5GaZVTxwCLHcZzhQDywaNGR+fYv+LZNukpAaWPVuFE9maRKgTQAhYumOW6LPXBnbIcNHy+KyA72LXJ7NOW8wKFCt8TA3p71UbNIZ8qlOF95xYTzj2VC96PyaK4roomoDC6AmkXPeLHTqvIJEwk6VY3Kk9NpXXUmfbD6tIkEnYoV+lSrKgcoT7XWVabT96MyZRR6XF+eTsdvFz0ThS5V45YYclGcDah2IDc3elLVhVofBBRX6I7jOEODL4ouZoK7rASUcE57Q1Nbu/l8rZkUqfLgLvN51+rmvq1VoYCkvJ2YQjby0M5CYBS4sZHXjI08SX+bUeXGLbFk3BJHksAhq8oDybUSpQ4wWjYKXVoV5axxOwzZy60qn6ymA5+M7eUzRpXXjCqXqVYXxZAqt/Vlq8Rt2drQY2VeCqjyTDlPgccKXTXHbTHjztiZW+Kg2c0tyuLcL7QTBvNryHEcZ55QoKqVjo5OEJFVInKviGwSkfMD7WMi8oW4/SYR2ce0vUhEfiQid4nIHSIy3u5ew6vQQ4EPEqgDRJKUoAtgy04uldkUw9w2kGgrs4FFIEgob0/R0DWL0gB0k1ArN71twEslo8AbNnJTNxawl4+3V+WQerGMGy8WWx5LbOil9qoc0mCSPC+WRJlPGFUeyqA4O2XeDJNBsWwUemVS4r9p14y9PFbj1m5etsFC061BRBlVPmPt5YHQ/owNPZCcK3dP0UBof1EGxYGjd7nORaQMXAocB2wGbhGR9ap6t+l2NvC4qu4nImuAi4A3ikgFuAp4i6r+RERWAFXa4ArdcRzHoERf7p0cHXAYsElV71fVGeAaYHVTn9XAFXF5HXCsRF4XxwP/qao/AVDVx1Q1J4lOxOAr9NwV+O38hg2p4lJBu+mjmaRhredlNo/ISX8b2hYumCo319ukIH1uYLOLekaBm77BcHzb15RHW9szCj2U8jaQXCtXlRsb+dLRxEbemgYXUmVuFXpJwioyUeZ5XiyJMs+oclOuJsp8ynizTBs/84BHS3c2dJPeIODRYlW5WHt5osYzCbcCof15fujbG9o/AHbzZrpQ6LuJyEbzeq2qrjWv9wQeMK83A4c3XaPRR1VnRWQrsAI4AFARuRbYHbhGVS9uN5i+TOgi8k7g/yX6MrwDOFNVp9qf5Sxmtt5zG9tu+z5P/OpBdt5jT5Ye+iqWveSl/R6W43SNqnSTy+VRVT2kTXv75E7t+1SAlcChwATwXRG5VVW/m3ezBTe5iMiewDuAQ1T1ICJ/kTULPQ6ndzxx723Ubv8+X77qCqanpvjylVdQ3/h9nrrjtn4PzXG6JloULXd0dMBmYG/zei/gobw+sd18J2BLXP99VX1UVSeADUBbldQvk0sFWCIiVWAprQ/YOZ3kQA/tblQKmVTMnqKZPUlpbc/st9lqXsmaSQLmldD97b2wJpMc80xgR6J6YB9QO5ZsiH2r+aU20mpmAbOQGah7+iff58tXXsHRRx8NwNFHH83V/3gFrzvjDJYcfnDU1y56jrTmMLfmlSRIaMSYVmwOc+uCOB7IYW7bkwXQklkIzeQzDyyATtXSh5zKuCjGof0hMwugsYuiXfwsTxozizWpxIuhdlHUBgsl5fK0NbO0ZlCMytHzZvKdVwOLogWh/UH3xKiBdgxKjvPO6emeorcA+4vIvsCDROL1zU191gNnAD8CTgOuV9XE1PIeEVkKzACvAi5pd7MFn9BV9UER+RjwS2AS+Laqfru5n4icA5wDMF5atrCDdLriiYcfZOXKlZm6lStXsvXBB1nRpzE5zlyJFkV74+US28TPBa4lskZcrqp3iciFwEZVXQ9cBlwpIpuIlPma+NzHReTjRF8KCmxQ1W+0u9+CT+gisgvRqu6+wBPAl0TkD1T1KtsvXlhYC7DTyO4qefnN8/YRtf0TBV02CrvS2p5R2pVWNZ5V7dLSDsUKvNE3N4S+dQE0b1E06ZvZ7afUqrDrHSj0dgo8024WN5OFzp1/a09uvPHGhkIHuPHGG9lprz2ZXRa7uRk1LnG4vl3oHDUJtcYDCbXGcxJqNUL7S2mdXfQsxeZKm5vDCkq7/+dM/EZOBlQ5pG6JVpXX7QLoZBLObxdC03uVAy6K5YAqj9rjvVCnwqo845bYSL6V45bYWBS1wUQBF8WAe2JULHBbHEJ6GSmqqhuIzCW27gJTngJOzzn3KiLXxY7oh9viq4GfqeojqloFvgIc2YdxOD1i7PdexZvfegY33HAD1WqVG264gTef8VYqx76i30NznK5JIkU7ORYb/bCh/xI4IrYLTQLHAhvbnxJjFXI5VkYZhW6kasWUY2WeUeXltD2pt+1WjWul1Zadq9ATu/dcVXfovJxrJWa+TICPVeONNLVhu3gt4HaYCfYJBAPVxkxdbBdf8vKDeWpZndf94Rls3fwgO+29J5UTXsGyVxxEEgcxYpJnpbsIhV0Nk/S2S3NUuVXjSUKtco4rYrI35Ix5k7IJt9LPeTpOeztdTfuGEm3Vp9N2mbKBQ3E4f44qr5j6ymRr4FDFuiXGZeueWJo2bonWRTFR5nl7gsY2dM1pb9jTQ+6J0Qs6ZqBt5ym+SXSHqOpNIrIOuA2YBX5MbFpxBpcdDj0YDj2YnbDmlbYxEI6zKFGFat0n9I5R1fcB7+v8DIlUtlHVDbVeMY9QCSv0hgIfMXVBhW5Vd6tCrweUONDwNonq479FCr2gPXOtgsCgeiBACPL25swpx2o8lCTLlm0wEONGPQa8VKwCX5pR49GuDctG0t0bsmo8Ko8ZJT6WsZEbu3KszK3qtu5kVpmndWl7yKNlYiZ9E4KJtiZzgoWmWsP5rSq3yr0R2j9p7P3TrYFDkmM3z+wJWo3fu1AwEVaBb1/CrajLsHm0tBKZXHxCdxzHGQp6lctloRmMCV0kUuLWhj4ay8uM0jZS1arxuFy3dRm7cnTdurGhZ+3OgXD9PNUcVNVNzwL5SbICibqyqWkLFHo3SbIC4fi1cWNHDajxsrWFG99w6ye+dDRS3stH07j2ZZVUjS8biaTqkrI5x5THJLa723B9E1xnPVYSf+HpzM+QtDgT/xO3KXEzCj3j0RL1rVbTdpv+Nkm0lQnnt37msTIvF6hyW86E80+12stL0+n7kutnHrChB/3MQ9vOQdhzpSjh1pCpcksv3RYXmsGY0B3HcRYMN7k4juMMDb6n6HwiRIucdgF0JCprwLTSUo5NMfVRY1IZaTWv1G3Ye8b9LzaT2F/1ueYXM+ZQeyhDov23E8pBHtgNCCBZiA+F6NtyNhiodaETjGeKyUFeNoE/4+PRT/8dxlLTyfKx1J6wozGv7BibVHY0K4I7VNL25bEdYqyUmhNGpBYsN8aaWfQ0C5lx2bZPm3/W1WQf0IyZpRIuz7QGDoUyJ1aMmSXjihiX7aLoiFn0rEya93YyCRxKnzXjojhVEM5fNWmxY1OLhnKcY0wtRYFDQ2xG6YbIy2W+tiSbXwZjQnccx1kgBnkLusGY0EVgZKShyiFV4DpqAkaMKs+o8dFkUdSGuttyvChq1W3A/S+7i/1cFXpre+GiaMEuQbluiaG840aBYxY4K+NxuP14qvxCanzXsVR+7jRS7DTjAAAgAElEQVSSlncemUjrY4m6UzmtW1pKrzUeK/MRSRVlmVZ1mFXi6YNtq6fRTdVaq5LKui22JtzK7ANqA4emk8ChnHzmk+0Dh5L6zOJnjkKvxMq8ZPOaTwXC+WeMEp9pVeVAeMchuwCaKHMbTFQQODTIe4L2Aje5OI7jDAHu5TLfiKCjIxlXxHqszHU0rMprY7Y++nBsatikztYXpZbNKvScckCBZ90Wm/pB0G6ed9/MjkKxuNQRux9nwC5uEmNVjAIfMzby5eORjXuncaO6R1MpumLsaQB2qaSqe7eRpxtlq8aXx7J1h1JqN99BUoVeitV42QQI2XSlVWJVbVR5yQTChPJQ22RKNphoKs5vsC1nH1AbOFSPbecluw9oJogoqUvvGwznn2hNshWdb/cETRS6cUvMBA7F9VaVB8L5wdjOC3YcclXeOe7l4jiOMwSoSiZP/iAxGBO6CDpaQa3qHovtnVaVZxS69WiJFfqYVeW0tOfuYh/Y8T7zeRfZ0ENqvUjhm/tpxW4OYcfYulGEVePlOBzfBgAtGzfeKOOpvExs44kSB1gxsq1RTtT4bpUnG3U7G1W+cykt7xDby8czniut6s8KwhnzhkzED5m3yUBGzcdv0qT5QLfNpmr86ViZbzPh/HaDitkp84ZOJelvw5tSJD9OQqo8qk8SbplfRJM5Xixx4FAwyRakXiy1gnB+0ydvH9Bn3gYV24+bXBzHcYYAt6HPM1oSdLzS8FaB1EZeH7MK3Shwq8YTG/qo9WyhpVzP8yYpsKFTZEMP2MuztnJj984k2krGYhTUiFFOo/H2aiYx1sh467ZtVonvYrxUdh1LFfjuo7ECN3bx3SpPpe2xMrdKfGcjX3cwanxp7GtfNqmNS+ZNqsdh/FNGBZZMuRr0Q0/Pt7b1iTiXwTaT1/fpqinPROWJqVShVyfNhxuwl2f8zNPHTb1YAqo8qg9sSlGQ/lamc3zLQ+H81Zz0t8n6QlHo/jM4nL9bfEJ3HMcZAtwP3XEcZ4hwP/T5RKLgIOuKWBuPfh7nmlkCJpfcXOCBAB0NmVxyFi+LwvUxC4IaWmAtt7YDqXnFuCXKiFlki00t1v2wKBjILnomZhaAZ49sjeoCZhaAFbGpZbnJS77cZL8cI31DRyTOSmj38TTZEqc1ukbN1Jl1xsZCZ+K+CNlgoqdr443yk7NLANg6s6RRt3UmbX96Kjpv2ix+1k1of9nu/5kEDuW5JU4F6oz5pbHLkM2aaMpiXRQTU0vIzAJpOH+emSWUOfEZvg9or1DN7mQ1SAzmqB3HceaRXu4pKiKrROReEdkkIucH2sdE5Atx+00isk9cv4+ITIrI7fHxf4vuNSAKXaiPljILoEFXxNFwubEfZo5CD4XQZxR6UY7zUkCB57o1amu7WfTUSqqyJFbmpUrrbkCQ7ghkVfmOY9YVMVLVu4ymK3vPGk0V+LNGUgWeqPFnldP2XTNuidF9l0v6xoxlyuYNDVDV2dY6q9DNT5ZtGi1gPlHboVG3tba0UX58Nq3fUo3qt0ynCv3JqVShT8bK3Krykg0WmjALoLEyr+SE9jcChybDwULlRji/2V2pKJ95QJWDUeBFqhzCCrxoAdTii6EZemlDF5EycClwHLAZuEVE1qvq3abb2cDjqrqfiKwBLgLeGLf9t6q+pNP7uUJ3HMdpQlU6OjrgMGCTqt6vqjPANcDqpj6rgSvi8jrgWBGZ0zfKQCh0FaiNlDLh+A27eMUq8daEWlF9fJ28wKFKoD0Ugh9Q2kA4SCig2jPnZVS5sZEbhV6KbeiV0VZVDuk+nctM6lobrp8kz8oECBkb+Yry0y3lnUupJF2ecUWM3gSryhNbeR5WlU+b8pRG152op5/XE8Yu/kSsxrcYJf5odVmj/NhMqta3TEdlq8onJlMXxdnJ6MOXbcY9cSL9QGyq20SNF6W/LU+2qnJIA4dKU63uiQBMW3t5sg+oUeWBhFsaSrIFhW6Jhbgqb0sPF0X3BB4wrzcDh+f1UdVZEdkKrIjb9hWRHwNPAn+tqv/W7mYDMaE7juMsFKpd+aHvJiIbzeu1qrrWvA5dqNkGltfnYeC3VfUxEXkZ8C8i8gJVfTLQHxiUCV1AK9KUMCvZ5xNTZ8oFe3Pmpa9tX6fB9tD+oNlwf3NeI0jJqHJTLhmFXo7LI8aGPlYxgUMjke182UhqQ19aad3Hc7kJALJpbJea5FnjyT6eJmFWOfAe1E2a25p5yJqpTzxarCqf0PQZnoiV+WO11O79SG15o/yr2Z0B+HV1p0bdr2d2bJQfnUrV+uOTsUKfTBX6zISx58fK3O79aRW4DRxq2NAzqrxVoVesKrdqfKo1nH+um1IQ2pRie9PfuirvEKHWuZfLo6p6SJv2zcDe5vVewEM5fTaLSAXYCdiiqgpMA6jqrSLy38ABwEZycBu64zhOEz20od8C7C8i+4rIKLAGWN/UZz1wRlw+DbheVVVEdo8XVRGR5wL7A/e3u9lgKHQidR3yMsn1Dd9eE5gGyhnZbRS2tnbNJeksgTpAzPOUyrHNtmSSPZVNOa6vGFVtFXYltoGXMqo7rNKShFc1M7CqeZhqYAMKaA3Rj86L+k6Y9+gps6jxRD1S5r8xqjyjxuPyw9OmbjLt+8hEqtCf2BZda3qb2Wdvm/Ezj+3lFevNki4pZNV6IP1tJePFEqdasL7lMwF7eSebUiTpb3M2pWjYzo3S9vS3C0Mvc7nENvFzgWuJfp9frqp3iciFwEZVXQ9cBlwpIpuALUSTPsArgQtFZJboP9vbVHVLu/sNzITuOI6zIGjW0rXdl1PdAGxoqrvAlKeA0wPnfRn4cjf38gndcRynCQ/9n09EoiOEXacMmUlMfcbaYKwFhR6foW9r85NMMzdrvWbG1qYthUIkkEu8G+qB/OHN5SSD4UTdvDHG/JOYUUo5Jhv7az8JEnrShOs/pemi5WOzkcnk0dl0ofPhGWNemY7qH51K3RatmWXrRHqt6adjU4s1s2xLBz6yLXrvi8wsACOxqSVjZploXQDNBAtlXBQDuwxlFkLnsMtQLWzWsvgCaG/R7hZFFxWDMaE7juMsIL00uSwkgzGha2zUMko3EYpWMNo02iZvFEn8SkaI27igQFxGppy4Gto1KbsYa9V63Mn+ZLMKO/Hek5IZjfEPrNfMteKB141asMohSSBkt8uaNouPyS4+E6V0wXDMqOaSeROSPTkzCbE0VZcjgQXQut3H06j9CY3u8aQJFrKh+1tihf7ITLrQ+eiMCSKKlfmWyfScp4wqn7ELoE/HbokTraocUmVu3RNHzKLnyLaAW+Jk2C2xNBW9H0FVDjm7DOWF7s9hlyHPZ75gdOjBsugYjAndcRxngYj0o0/o84rUoVRrVbola6zO2Jpb7daSo8CTDV9M7EswYCk3iClz3SSyyNSZctI1G3hkn8EE68zGaWRNYFLZuC2O1KKPb2I2DaSxLoyJvbuUY4Ovlltt6E+JUeWSKtFy4BoZG7zJdjYR/wrYagKHts6m5S2xGk/C9gEet8m14iChbRPpr4maCRYKhfFnbOQZNZ7UtdrKIZtoK1Hm5QmbXCuwy1CejTy0y1DRnqDbu8tQUx+nN/gGF47jOEOC29DnEwWZVUqBL82MDT1jYzfBOokYyqQOMOeFkm8F0gjU8xS6TeqVjMf+AjDjSsR2VlOlN7b/jhraziTB6sbjJbHjz5qBWxv70+XULj0WK/OxklXlrcqvluMxk7luvL/nU1WzEYUpb52Oyk/NmE0rJtNyErqvZu/P0kR6r4qxkTcSahmFPhLwYsnYyou8WKYKvFi62ZTCqvJ65h9FUmnau9iUwlX5vKFIZt1qkBiMCd1xHGcBGVCB3p8JXUR2Bj4HHET03p2lqj/K7a9QrtYz/tRpOL7pl+fxEnuR1GeNDd4o7HpBoq9E4EpAtQPYvRsSoWqyzGZM+/WQjd2kkc2ItFjZW/+SmYxHTTxum7/JKIvp2djGPmLs27XUQ2S8nCrNxPY+UjLbp5lBJmq/atS+9a6ZMruHPF2N7rGtmt5rYsaUp6LyzHT6JtWMGpfJUEItUw4l1MrUWXt5a8rbSs4WcaXJ2ItlJseLZTpObGbt4qa9YRfPs6EXKXD3Ylkc+KJo13wS+JaqnhYnrFladILjOM6CMaASfcEndBHZkSjpzB8CxLt4zLQ7x3EcZyFxhd45zwUeAT4vIi8GbgXOU9VttpOInAOcAzA+thOlmXpmJVFiM4XMGhOEWfQsmfp6nG+8VA4vitYDbol2AbQUMMnUcxZFGwuwtdY6gGTrTTEBRHatzNpykp/d9pe2zUGeBCHVamahcta4Eo7EJhdj+njK5FO35pUkc2Oei2MSxGRNOtb8MjWbvgkz1ag8XU3rZqfTvvXE1GL39pw2uwjFmRFNGvfszkKZ+njRMyeHeTlxRczJYR7cXSgvW2Jjl6FACD90FSzUsVuim1kWHMWYRgeMfizlVoCXAn+nqgcD24CWnbBVda2qHqKqh4yM7NDc7DiOMz8oUaBIJ8ciox8KfTOwWVVvil+vIzChZ1AozdQQE1iUqFMpG0Vr1bpR40kaAKvg65l2bTnH7kmaKPOsasf0Ne6S8XklK9KMiEvUuphNdTIbIVnlHgtrNaq4nmmPFyqNQq9VTTh+vONR2e6CVLJl49pZ4A6ZKHP7ayBTnjVjrEZvjs6kdTJt1XiiwM1nkG6e1FDj5UAdQGWqVY1n85YbNR4r9EyAkE2uZeobLojVnMChZJ/PgCqHLoKFTL27JS5OBtUPfcEVuqr+CnhARJ4fVx0L3L3Q43Acx8lFOzwWGf3ycnk7cHXs4XI/cGa7zqKKzMwiJuOWxOpQjeLUjI3cKPeStLRn7OkFCr6h0DOq3ap588uhkvxtVe1gkooV2Nij+sTd0lzLuF4m9Zq5v1HN8drBrNmzlDxVntwi4DYZvYjvlRmLaTe/DJL1C7N9KaVpEwwU11tbuFXjSTmkxKP21l2EMqp8unVHoUyAUN4+n6HQ/dlWBZ+xkQf2/CzaWailT0FfZ6HpeHu5RUdfJnRVvR1ot7Gq4zhO/1iE6rsTBiNStK6RwjLqk9hmKxmlbdpNEquQQg8qeOslY/IMJPX1HLu5Vfv1kbhvQLWD8UwxSjzP3p6UbZ3OtL+X9cQhVubZRGCmHLKbB1IUR+V4zcL+mqia98AI3SR7gFXoZavWE4VubeTTVoEndvG0rjSdExgUq/HSTME+n1aV5yXXit2NMqH7IRu53Qe0wHPF4qp8QNBssN8g0daGHvuMO47jPMOQDo/FRZFC/7GI/JWqXrMgo8lDNbJ7WvttrLCt6rY2dqvWExVfqOArrao9qk88atqrckjtx1bB2/Za7Klj7c91azc3n0iidOtWRNr2mez4onFjynF9qym8hYZYz0ulkNj+jXgt2XKhQjcKvKHQNdieqPGMrTxjFzcKvaHAbXt73/FcG3mivAu2hZuz54rFlfniZkBNLkVeLscAbxSR74jIfgsxIMdxnL7TQy8XEVklIveKyCYRaXHRFpExEflC3H6TiOzT1P7bIvK0iLy76F5tFbqq/gI4VURWAT8UkVsw8ZqqenJnj7SdqMLMTNb5O/FDt6pbWhU8pCq+UMEbT42MWg/5vFsvFrttXHKvkXB7w3PF2tUzyb3sL4O4LicqNXFPD6X6jW7W9LcdgU1AMvbyuL6Uo9Ctci9X48jcaqtdPNNuVfu0Vd3RzawSl2qOjTzkOx5S4wVbwWXqA54rUGwDL1TmrsoHgySwqAeISBm4FDiOKAbnFhFZr6rWVfts4HFV3U9E1gAXAW807ZcA3+zkfoWLorG/+HuAf4sH5v8qHccZanoYWHQYsElV7wcQkWuA1WRjb1YD74/L64DPiIioqorIKUSu3ZnUKHm0ndBF5KPAycC7VLWjbwjHcZyBp3Mvl91EZKN5vVZV15rXewIPmNebgcObrtHoo6qzIrIVWCEik8BfEKn7QnMLFCv0GvBSVZ0q6De/qEZuZyVrD4jfcLuNUcAkA8bUYkwmZBZIAyYZa0ZJEl7ZhVRzLbFmkpHYndKcXxoxYfFxYFB296TwAmk4aVggwViuWyJtkdACqHmL7R6uifnFuliWTJBTZlG0Gif6qtp2U45NKUk/WwfGvGLNLJldgAImlaK9O62r4XYuelrcFXE46WJjsEdVtV1MTeh/YfPV8/p8ALhEVZ8W6ewLpsiG/leNO4ocCexjz1HVf+zoLo7jOINCb8P6NwN7m9d7AQ/l9NksIhVgJ2ALkZI/TUQuBnYG6iIypaqfybtZR4FFInIl8DzgdtINdBRYmAldiVSX/ZZqKHSrugMKHlJlPmsXQgNqvdyq2gEkvq5dKKVsdp7PqPnYLdEqcKt04+tmUg9YF8dqq3K3qtsGESXPOFdVnnVRjMdtFXomqVi8kGmfxarujFqvZ/4CiFHVMhsvelbDi54NBZ7jahhS49mFzlY1ntnPsygwyOKLns9AeppJ8RZgfxHZF3gQWAO8uanPeuAM4EfAacD1qqrAKxojEnk/8HS7yRw6jxQ9BDgwvonjOM5w06OZLraJnwtcC5SBy1X1LhG5ENioquuBy4ArRWQTkTJfM9f7dTqh3wn8D+Dhud5ou1CNwrGNvVwklqV5qtyWG5uC2rqAu6NR3Rl3yEqSncsoTpsULKDcQ6odUuWuAbdKyEkaVrbPhWlvVREhYZFV5WYs9dY+NvmXGEWa1ItRt1aV2/pEbSdKHMio6kZ9ngJvKHTrz2ne75Aaz7gXWgUej7GLlLYWt5E/Q+nhR6yqG4ANTXUXmPIUcHrBNd7fyb06ndB3A+4WkZuBRgaOBfNDdxzHWSh66Ie+0HQ6ob9/PgdRiGqkwGzW0kRBW9UdUvDJ+c196wEburWtWnt6rPiCqt20R31a7e2ZtL+z7RV6RnU3bOT2GWlBc1bApaFOA3UQtqHXwqqbJGWBVdqmb6ECt9dKlHc9rOAbSbIK7OJg1Lh9rqJw/G6SZ2U7tG93hoYuvFwWFR1N6Kr6/fkeiOM4zqJhmCd0ETkC+DTwu8AokXF/m6ouWDbGjFrDKE3JGJXTorQqsoxqt7b3REGXAqreljMK36pya0Nv9aghkEAsYxe3/u8SUOOmLk+Nh2i8Rxn1atoDtuaM6q4HFPpsq5KO2k25HvBSCShwq6SD4fhm3EG7uL3G9trFsx3atzvOIqVTk8tniFZev0Tk8fJWYP/5GpTjOE4/GWqTC4CqbhKRsqrWgM+LyL/P47gcx3H6g9JN6P+iotMJfSLe//P2OGrpYWCH+RtWE6rRT3qbozz5WW4zLNqf4gFTTNYMY3fmietDZhhIF1BtXe4Cajm+fdik0ugbMq00n5eUuzCzBE1FeSaXTFbBxAySY9oIhdDnLWom55m+wX0481wRC1wNLXPaJSjboX2788xkQBV6UT70hLfEfc8lyvq1N/D6+RqU4zhOPxHt7FhsdOrl8gsRWQLsoaofmOcx5QyinnFbpLHAaRbOchR6xwuoIdUOqXIvBVwdIbw4GHA/tOOW3PZQZFCBQs8L4A0qdFsOJabKWRStBxS8XdTUwHuQo/bn5Gpo8YVOZ75ZhJN1J3Sk0EXktUR5XL4Vv36JiKyfz4E5juP0De3wWGR0E1h0GPA9AFW9vXmbpPlEaVVgNvS+gQ0WCin3Int7rttjnF43pNqbrhtMGjZXBR4I7c8QDEsP2NDz2oMKPEd1Fyn4OSjwzLA6sJcH+4Y7tG93nDYsVnNKJ3Q6oc+q6tZOc/I6juMMNEPu5XKniLwZKIvI/sA7gIVzW1RtUV1ab7UWBVU7GOXe3t6e6yWTxLnkqe6ipGGZQc7BRp5HoQJvbQ+qbntekeru5F7bmeSqUIF3cA3H2R4GVaF36uXyduAFRIm5/gnYCpw3X4NyHMfpK0NuQz8wPirxsZpor9EXzdO4igmqwPD3U6f29jwvmUZVgYKHJhXf5lqF9vE8Cu3HOTbuULutDtm9Q/ftRlW7LdwZRJ4BNvSriTYpvZOeZgp2HMdZhAz5hP6Iqn59XkfiOI6zSJABla2dTujvE5HPAd8lu8HFV+ZlVAFa3RYDJgv7E91kVgz9tO/G7TExj2TC04tykBcx13D+UHPItJJ3XhfBOtnmeTCpdHEtx3GK6XRCPxP4HWCE1OSiwIJN6I7jOAvGkJtcXqyqL5zXkXRJWHXb0P4i9diF22Ot0cFeIXzdhdxHezsXFedddXdxXcdZNAzwominbov/ISIHzutIHMdxFgtD7ra4EjhDRH5GZEMXQFV14dwWtd6kkENdwu9wob29UVX0/Wb2zcxzO6yFq+eDjtVyF+rYFbjj0NPJWkRWAZ8k2untc6r60ab2MeAfgZcBjwFvVNWfi8hhwNqkG/B+Vf1qu3t1OqGv6mL8juM4A4vQOy8XESkDlwLHAZuBW0RkvarebbqdDTyuqvuJyBrgIuCNRG7ih6jqrIjsAfxERL6uqrN59+s4fe4cnyeX+EE3Ag+q6kkdnRRSgQWqPTqt/ddtQ213pWQ7tVb1gO1Uv3NW3T0cg+MMDL21oR8GbFLV+wFE5BqiwEw7oa8mSoAIsA74jIiIqk6YPuN08LthAWelFs4D7unj/R3HccJ0bkPfTUQ2muOcpivtCTxgXm+O64J9YvW9FVgBICKHi8hdwB3A29qpc+hiT9FeIiJ7Aa8BPgT82XZdLE85dqDc00t09nXcjRdNL+mJwg5feH6u6ziDTuf/5R5V1UPatIcW25qvnttHVW8CXiAivwtcISLfVNWpvJv1S6F/AngPbdIIiMg5ybdeNY1lchzHmXd6uAXdZqItOxP2Ah7K6yMiFWAnYIvtoKr3EG3/eVC7my34hC4iJwG/UdVb2/VT1bWqeoiqHjLC2AKNznEch166Ld4C7C8i+4rIKLAGaN7tbT1wRlw+DbheVTU+pwIgIs8Bng/8vN3N+mFyeTlwsoicSGTo31FErlLVP+jpXYrMCV2YZNJLLkLHU3DTieP0Eu2dl0vsoXIucC2R2+LlqnqXiFwIbFTV9cBlwJUisolIma+JT18JnC8iVSJrxh+r6qPt7rfgE7qqvhd4L4CIHAW8u+eTueM4zvbQQ+2mqhuADU11F5jyFHB64LwrgSu7uVdfFkUXBXNRtXNQ9T29v+M4C8Kghv73dUJX1e8RbzztOI6zaPAJ/RmAq2rHGX4WaZ6WTvAJ3XEcxyC4ycVxHGdo8AndcRxnWPAJ3XEcZ0jwCd1xHGcIGOAdi3xCdxzHacYndMdxnOGgV6H/C41P6I7jOE24ycVxHGcY8MAix3GcIcIndMdxnMHHI0Udx3GGCFmsex8U4BO64ziOxW3ojuM4w4ObXBzHcYYFn9Adx3GGA1fojuM4w8KATug93CTTcRxnCNAo9L+ToxNEZJWI3Csim0Tk/ED7mIh8IW6/SUT2ieuPE5FbReSO+O8xRffyCd1xHMeQ+KF3chReS6QMXAqcABwIvElEDmzqdjbwuKruB1wCXBTXPwq8VlVfCJwBXFl0P5/QHcdxmlHt7CjmMGCTqt6vqjPANcDqpj6rgSvi8jrgWBERVf2xqj4U198FjIvIWLub+YTuOI7TRBcKfTcR2WiOc5outSfwgHm9Oa4L9lHVWWArsKKpz+uBH6vqdLtx+6Ko4ziOpbvAokdV9ZA27ZJzh477iMgLiMwwxxcNxhW64zhOEz1cFN0M7G1e7wU8lNdHRCrATsCW+PVewFeBt6rqfxfdzCd0x3GcJno4od8C7C8i+4rIKLAGWN/UZz3RoifAacD1qqoisjPwDeC9qvrDTm7mE7rjOI5F6dmiaGwTPxe4FrgH+KKq3iUiF4rIyXG3y4AVIrIJ+DMgcW08F9gP+BsRuT0+ntXufm5DdxzHaaKXkaKqugHY0FR3gSlPAacHzvsg8MFu7uUTuuM4TjMDGinqE7rjOI7BN7hwHMcZFlR9gwvHcZyhYTDnc5/QHcdxmnGTi+M4zjCggJtcHMdxhoTBnM8XPrBIRPYWkRtE5B4RuUtEzlvoMTiO47SjV+lzF5p+KPRZ4F2qepuILAduFZHvqOrdfRiL4zhOC4Pq5bLgCl1VH1bV2+LyU0ThsM3pJB3HcfqDdnEsMvpqQ4+3WjoYuCnQdg5wDsA4Sxd0XI7jPHOJAosW4WzdAX2b0EVkGfBl4E9V9cnmdlVdC6wF2FF2Hcx313GcwaTD/UIXG32Z0EVkhGgyv1pVv9KPMTiO4+ThCr1DRESI0kXeo6ofX+j7O47jtGWR2sc7oR/50F8OvAU4xuT4PbEP43AcxwkQ5XLp5FhsLLhCV9UbCe+h5ziOszhwk4vjOM4QoB1vL7fo8AndcRynGVfojuM4Q8Jgzuc+oTuO4zQj9cG0ufiE7jiOY1EGNrCoH26LjuM4ixZBEe3s6Oh6IqtE5F4R2SQi5wfax0TkC3H7TXFKFERkRZyZ9mkR+Uwn9/IJ3XEcpxnVzo4CRKQMXAqcABwIvElEDmzqdjbwuKruB1wCXBTXTwF/A7y702H7hO44jtNMjyZ04DBgk6rer6ozwDXA6qY+q4Er4vI64FgREVXdFsftTHU6bJ/QHcdxLIkNvZMDdhORjeY4p+lqewIPmNebaU0X3uijqrPAVmDFXIbui6KO4zhNdOHl8qiqHtLuUoG6ZmnfSZ+OcIXuOI6ToUNzS2cml83A3ub1XsBDeX1EpALsBGyZy8h9Qnccx7EovZzQbwH2F5F9RWQUWAOsb+qzHjgjLp8GXK86t1BVN7k4juM00yM/dFWdFZFzgWuBMnC5qt4lIhcCG1V1PVE68StFZBORMl+TnC8iPwd2BEZF5BTg+Hb7L/uE7jiO00QvN7hQ1Q3Ahqa6C0x5Cjg959x9urmXT+iO4zjNeHIux3GcIUAVaoMZ++8TuuM4TjOu0B3HcYYEn9Adx3GGAAUW4X6hneATuuM4TgYFdRu64zjO4KP4oqjjOM7Q4DZ0xzMB1MUAAAb0SURBVHGcIcEndMdxnGGg4zwtiw6f0B3HcSwK+CbRjuM4Q4IrdMdxnGHAQ/8dx3GGAwV1P3THcZwhwSNFHcdxhgS3oTuO4wwBqu7l4jiOMzS4QnccxxkGFK3V+j2IOeETuuM4jsXT5zqO4wwRA+q2WOrHTUVklYjcKyKbROT8fozBcRwnhAJa146OTiia70RkTES+ELffJCL7mLb3xvX3isjvF91rwSd0ESkDlwInAAcCbxKRAxd6HI7jOEE03uCik6OADue7s4HHVXU/4BLgovjcA4E1wAuAVcBn4+vl0g+FfhiwSVXvV9UZ4BpgdR/G4TiOE0RrtY6ODuhkvlsNXBGX1wHHiojE9deo6rSq/gzYFF8vl37Y0PcEHjCvNwOHN3cSkXOAc+KX09fpujsXYGwLyW7Ao/0exDzgzzU4DOMzATx/e05+isevvU7X7dZh93ER2Wher1XVteZ1J/Ndo4+qzorIVmBFXP8fTefu2W4w/ZjQJVDXYoyK35S1ACKyUVUPme+BLSTD+EzgzzVIDOMzQfRc23O+qq7q1VjobL7L69PRXGnph8llM7C3eb0X8FAfxuE4jjPfdDLfNfqISAXYCdjS4bkZ+jGh3wLsLyL7isgokdF/fR/G4TiOM990Mt+tB86Iy6cB16uqxvVrYi+YfYH9gZvb3WzBTS6xjehc4FqgDFyuqncVnLa2oH0QGcZnAn+uQWIYnwkW0XPlzXciciGwUVXXA5cBV4rIJiJlviY+9y4R+SJwNzAL/Imqtl2JFR3QnAWO4zhOlr4EFjmO4zi9xyd0x3GcIWFRT+jDmCJARPYWkRtE5B4RuUtEzuv3mHqFiJRF5Mci8q/9HkuvEJGdRWSdiPxX/Jn9Xr/H1AtE5J3xv787ReSfRWS832PqFhG5XER+IyJ3mrpdReQ7IvLT+O8u/RzjQrNoJ/QhThEwC7xLVX8XOAL4kyF5LoDzgHv6PYge80ngW6r6O8CLGYLnE5E9gXcAh6jqQUSLdWv6O6o58Q9EIfGW84Hvqur+wHfj188YFu2EzpCmCFDVh1X1trj8FNEE0Tb6axAQkb2A1wCf6/dYeoWI7Ai8ksgLAVWdUdUn+juqnlEBlsR+z0sZwFgQVf0BkVeIxYbRXwGcsqCD6jOLeUIPhcwO/MRnibOqHQzc1N+R9IRPAO8BBjPvaJjnAo8An49NSZ8TkR36PajtRVUfBD4G/BJ4GNiqqt/u76h6xrNV9WGIxBPwrD6PZ0FZzBN612Gvg4SILAO+DPypqj7Z7/FsDyJyEvAbVb2132PpMRXgpcDfqerBwDaG4Cd8bFdeDewL/Bawg4j8QX9H5fSCxTyhD22KABEZIZrMr1bVr/R7PD3g5cDJIvJzItPYMSJyVX+H1BM2A5tVNfkFtY5ogh90Xg38TFUfUdUq8BXgyD6PqVf8WkT2AIj//qbP41lQFvOEPpQpAuK0mJcB96jqx/s9nl6gqu9V1b1UdR+iz+l6VR14xaeqvwIeEJEke9+xRFF7g84vgSNEZGn87/FYhmCxN8aG0Z8BfK2PY1lwFu0WdHNMETAIvBx4C3CHiNwe1/2lqm7o45icfN4OXB2LivuBM/s8nu1GVW8SkXXAbUReVz9mEYXLd4qI/DNwFLCbiGwG3gd8FPiiiJxN9MV1ev9GuPB46L/jOM6QsJhNLo7jOE4X+ITuOI4zJPiE7jiOMyT4hO44jjMk+ITuOI4zJPiE7gw9cRbIW0Xklabu2yLyjHJpc4Yfn9CdoSfetuuPgUtFZERE3hRV65f6PDTH6Sk+oTt9QUT2iXOMfy7OyX21iLxaRH4Y57I+TER2iHNe3xInx1ptzv03EbktPo6M648Ske+Z/OVXx5GQxOH7/w68H/gw8Cd9enTHmTc8sMjpC3GmyU1E2SbvIkr18BPgbOBkoojMu4G7VfUqEdmZaMfzg4mStNVVdUpE9gf+WVUPEZGjiEK9X0CU9+eHwJ+r6o3xPXclyuD5CVX9qwV6VMdZMBZt6L/zjOBnqnoHgIjcRbQxgYrIHcA+RAnZThaRd8f9x4HfJpqsPyMiLwFqwAHmmjer6ub4mrfH17kxbnslsBU4aD4fynH6hU/oTj+ZNuW6eV0n+rdZA16vqvfak0Tk/cCviXYQKgFTOdesxdchzmN+MXAMcLmInOj5c5xhw23ozmLmWuDtiR1cRA6O63cCHlbVOlGis3IH17oA+KKq/hfRAuklg7iPpuO0wyd0ZzHzt8AI8J/xRsB/G9d/FjhDRP6DyNyyrd1F4j1bTwU+BKCqtxN9WfzFPI3bcfqCL4o6juMMCa7QHcdxhgSf0B3HcYYEn9Adx3GGBJ/QHcdxhgSf0B3HcYYEn9Adx3GGBJ/QHcdxhoT/H89YwZR1knMeAAAAAElFTkSuQmCC\n", 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from pyabc.visualization import plot_kde_2d\n", "\n", "for t in range(history.n_populations):\n", " df, w = abc.history.get_distribution(0, t)\n", " ax = plot_kde_2d(df, w, \"meanX\", \"meanY\",\n", " xmin=0, xmax=10,\n", " ymin=0, ymax=10,\n", " numx=100, numy=100)\n", " ax.scatter([4], [8],\n", " edgecolor=\"black\",\n", " facecolor=\"white\",\n", " label=\"Observation\");\n", " ax.legend();\n", " ax.set_title(\"PDF t={}\".format(t))\n", " " ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.8.8" } }, "nbformat": 4, "nbformat_minor": 4 }