{ "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": [], "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": [ "dir = \"model_r/\"\n", "\n", "model = pyabc.external.ExternalModel(\n", " executable=\"Rscript\", file=f\"{dir}/model.r\"\n", ")\n", "sumstat = pyabc.external.ExternalSumStat(\n", " executable=\"Rscript\", file=f\"{dir}/sumstat.r\"\n", ")\n", "distance = pyabc.external.ExternalDistance(\n", " executable=\"Rscript\", file=f\"{dir}/distance.r\"\n", ")\n", "\n", "dummy_sumstat = (\n", " pyabc.external.create_sum_stat()\n", ") # 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_0hz98kjx', 'returncode': 0}\n", "{'loc': '/tmp/sumstat_ywmmq0pc', 'returncode': 0}\n" ] }, { "data": { "text/plain": [ "4.834298" ] }, "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": [ "ABC.Sampler INFO: Parallelize sampling on 4 processes.\n", "ABC.History INFO: Start \n", "ABC INFO: Calibration sample t = -1.\n", "ABC INFO: t: 0, eps: 3.34129400e+00.\n", "ABC INFO: Accepted: 20 / 70 = 2.8571e-01, ESS: 2.0000e+01.\n", "ABC INFO: t: 1, eps: 2.57219350e+00.\n", "ABC INFO: Accepted: 20 / 45 = 4.4444e-01, ESS: 1.1949e+01.\n", "ABC INFO: t: 2, eps: 2.12528659e+00.\n", "ABC INFO: Accepted: 20 / 53 = 3.7736e-01, ESS: 1.8156e+01.\n", "ABC INFO: t: 3, eps: 1.56643980e+00.\n", "ABC INFO: Accepted: 20 / 65 = 3.0769e-01, ESS: 1.9740e+01.\n", "ABC INFO: Stop: Maximum number of generations.\n", "ABC.History INFO: Done \n" ] } ], "source": [ "from pyabc import ABCSMC, RV, Distribution\n", "\n", "prior = Distribution(meanX=RV(\"uniform\", 0, 10), meanY=RV(\"uniform\", 0, 10))\n", "abc = ABCSMC(\n", " model, prior, distance, summary_statistics=sumstat, population_size=20\n", ")\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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WeXPnpenFi9+Ez33u43jssUexdu3Psffeyev6wAfejXPPXYEX774HrrjyUtx000+n9drGxpO7qEq1imajdzb4IpINU8MziZdhaCZ6v2EqXWxVzDVAZrIJF2gh0vlydbFVyQMyM42Wl6TdPZ8w18jF2IrLr4ryqjR9KIHGwkBkzVybMIRBK5cn3SO1tGauSfJbLi9rMy4MEt4MMybNNeL7UXVflthtY7XAJc77MsvNK02x6NbkZKx18aXcJEw7m9wfcRvalOVVhOmGE9PNvKa+cC3TEzQ3+R2EkGih6v82adQwuSiZjWXX3XfD6tWrsf/++6d5q1evxq677wYisbVJ2rZUM064QPvafd+Icz5+FlatvAyHH30Mms0mPv3RD2PpMcdgzty5+OmP/wuPP/YoJibm4Ec/uBpnfepzePCB+7HddtvjsCOPxjbbbofLL/0m3vXXp+KRRx7G7beuwctfuRfq9Tp+f9ddWLSbOy6CkgcDmLf1VnjpS1+Oj519Jvbb7yBUq1WAgaeffgrPec5OqNcb+M53rsROO/05AGCreVvj6Y0bMXX5d5eFL8SGe9fj93+4B8//i4X49ncvx6v32lvUoKyNSKqhHah3xglGaCIcBUbr1RjGLOV/v/dUnHTySbj++utRr9dx/fXX450nnYST3nPatPolIpxz3vn4wXe/gze/4XV4y76vx/jEBE7/x38CALz05a/Au//6ZLz1TYtx0CFvxp4vezl+8+tfYdkRh+Cthx6AL33hM/jrU9+N8fFxnHPuV/GZT52FI998AN562IG47dabo9c95NClWLXq8sCkc/rp78cxx7wZbz9uKV7wgl3T/EMPXYrzVnwZR7jFWM/ExBx8/KOfxenv/X9x2JEHgioVvP2Y46f1fvQCBqGJSqnHsDCjJ0z1im23XcB7vfpUANnmp1DF59V9MwgNnNVtekUfCSPs98uEB4eIcpf2B4gkfQmV5cMPizDEFRG0bGzChTgQoYfnybQLcbDtuNgQJTZH+Q1R29Yylbq1cKXcpprkz6vk84Bw4dUvzErFHi7iesUvFovlnYSTVuNCmY+JdMVJsCryeYCu6CtyQ5UiaeWORa/066JeXZRvculQ5We3X0+7P+yTnC2wPtmcm6Vb+fzHRflBzfdi50UL3Ljc504Jw5ykK/jeyv/A8k+fi3V3/ga77r4bTv7703Do244AIN0vxYtVQyiI8pa8ewjrTU0Xxspx71XgHVvYPhKLpiDcQ+lYONqOsyDJuO+BP+IT7/hmsAp+9UP/dgsz75W/SDle/LIJvuA7zytVd++F90zrWv1iaEw3hjHsvPmoI7DkrUemz7mHniJG7zAb/YBgylS7ZmMPwgy7dFOxyyfp8He+br483FDFwe9YWnOpBDLbu7TRa8f7xejk2D9PM9hsIvILbj39h30sUu7t8VEbvG8v7KdSsaeKP2pfVQ6ukON38ndM2O2luvd3ImNCJo8JlejdP6uivBqsQSh3FPLupMmivtvQFwkF4O+cYyb4bI9R+wlGilx5QJu6oaqbm/WOdlHFgo6V7HfWGhNI3cw3zAzFRG8YsxFGMoFbYLPBwMwz4u/OCHdojwLDMdFXCM054YEioSJXNjwpKl6mY0cBent8UC4P907LhZoSNnpy+ZUgkJnwoPEbpoRalBumapX2x/tpyOP7sk1G0tYtNxllL2yMEyU8KZRzBfm7j3qggqV6dgQbpuRY3HvB8o6l/WupdPAFq/g7AVbyAFTYn+gtW2Wvr+W8jYINWWK9YlKsV9SdB44MwfAU3Y9nHn82ttp+Ij1qT4aLkKYZr75loDE5LO1/BWthfmPvX1kVHW3TeSCxmKDvmXpXoiKkT5mxuf4MHrjnkeTNK/pgdQAzBZvwRoHhmOgNYxbyP5UrgIeAbR7aCexu9WPn5/pJX8tL0vG85EnyiwJ7UL48GkSyi3JJthirV+jqNKpgLAWmnyntW8x44O5HsPJz/6mOZ7q0OrJhzX6GYqJnAhpzQtt8aENvb4MPgppp5aqNXip2We4UoVTx4hARUsIQB+EO0hAIed95IFOEUhlKdd9KJwwZ2lc5rEM5oCPpV1yLY9Z3f7G0UYb4vjXTCtLaLOzhmgoV7b3XTUt8iceU71dM5Zc9szPw9JE2dpesBtcXewaUPQcyb2P1Mfy8ugIA8Gh9KwDAE8Ir57F6ln6innjwPL458+R5elIEWHPpycnsK9nYLA5kcWmaFHcsMr3ZrXdkzlYQEanhtwSIrQGoKuXVSY6Uu/UMEe2rMik+SzK/3gp+AwCJDU9Ud4eHN1q5PACArys3SbWU8h4eCC5JFmPNdGMYhjHC2GLsQOBKgaJX1LvMY02xKyo/qet2Y0pFrx3uLVW8VO/uWMBqJAzxmNtJWROhh2uVvF28yEYfHNAh0nW3uFAXu11lIK9AqGiKPSh277WI8CZt2GOugyaECpYeLv7gEmHXHwsUf9JvNfCDF0HTUrt3+y+dVPaan324s7bImNwd2d8t/7eU6TCYXb5cetIEp+9V8nlQ6rKwVQfemzTld5flQZ60i0fGraIsSLDISxe3Yy5KM7z4bYuxhmEYWwDNEdvjYBO9YRiGgEGBd9ooMBSvhitAc064EUo7FQoo3vDk8zVzTFLXpeWpUYH7pFtokme+jglzgzPZjI8Jc4Y8IcqZccYquukmc69sv3FHErpSJu9TPeYeJrtyzULTTPZm+XAJkyJvPAiX0HBtsvYyXMK4M8PEQihU0/JsSHKxdEyxAVSUvFbEVcS7hU4Kc44WAE26l8ovuHq+bYHtttWlbTc12ZCSB4CV8iBCgmraUepGylXTTEH/HE1T2AbQ9xpM1wRTERdo9e6U11FcjB2tV2MYhjFNGIQml3uUgYiWENGdRLSOiM5QyieI6FJXfiMRLXT5BxHRLUT0C/d7sWhzg+vzdvf4s3ZjGApFDwIaziut0D2yls/T1Lvc8KSqdxm2QCy8erfJ6GKrS0sVLxde/QlRsnxOVah/v1grN1Qpi3qt6GJsok4rwS4iqDSdktfOiQWAOlVz5dL9cBM1c3ly4XVcKddOq5KKXzuhqhIo/qK7G/m++DzpfpoPYxycMyvPn23J/DHXXndb9enw+tNUrOpiaWQxWVHkwc1FkWJXF3OVxd7oHYHiQ0uyL2WxVSLH6sfQkq+v4L3s8QJtrxZjiagK4FwABwFYD+BmIlrFzHeIaicDeJSZdyWiZQA+CeBYAA8BOIyZ7yWiPQFcA2C+aHccM68pMw5T9IZhGALmxERX5lGC1wBYx8x3MfMkgEsALJ1SZymAr7n0SgAHEBEx823M7I/5WgtgLhFNoAuGQtEnNvokXbzhKVETqt0dyBS7UOmQB4M4xa7Z3YEshIFU8Zp6lzb4wEZfURS/tGu7gy3kYSMVVeVKN0KxecqH7pU2enmOqbCn+7RX7lPTXj0H58QG9vZmvjwIKpY/2CRo79T/uDw4Ba1c3Wpk81gRXlGHZ85mH3m/zT1U9OJgEnHWrD93VpZvFh+8huurIfx2G2IiaLTyO2c1qOj1dWmDT88yruTzgnTkjiDrX1f8wZ2Ei3YnPGUDwZ2q+5jKV+350uDfitfrAclibM9CIMwH8EfxfD2A18bqMHODiB4HsAMSRe95G4BbmVlsicP5RNQEcDmAs7hNzPmhmOgNwzD6SQeLsTsSkTSfLGfm5b0cCxG9BIk552CRfRwzbyCibZBM9CcA+Hqsj6GY6Jnyir45Lu3uWV0tRAGUzU2a3R0Qijyq2JO6E8KuPqZsfhqPeNWkil0oW6nex9KjBPPhdqfmtyOw2yNiV6a8Pb+qXEuzq4fl+iYhb++vBO2Fvd5vqAps+Pm1CU3ld4IWIiJJJx9/GcBqs1T3io3+qWYWwmCjON1mo3MH2yxcvDR1z5G1lfTgkZjiV7JZEcFRa4K2IUr2pSj+UN17TxrO5QEII0o3XZ1KRKX7a8hzJ1vyToFck8h7kdrw5Vh7p+4Z1Mn6ykMFB49sALCzeL7A5Wl11hNRDcB2AB4GACJaAOBKAO9g5t+lY2Te4H4/SUTfRGIiik70ZqM3DMOYQg+PErwZwCIi2oWIxgEsA7BqSp1VAE506aMAXMfMTETbA/gegDOY+Se+MhHViGhHlx4D8BYAv2w3iKFQ9KgATWcu9SGDgxAFQt1jPPk3T8LGLtW7t72PK54yQKbex2tCsSv2dqnYQ/We95opUuxSBXvFHLNFaypXkioRYdNsRix3RapFG4MWgE27CwDkeoLuVVP2jiAYU+TuQ0NbLJNRCX3I4ZgnjbTBe3UvFfszQtE/4xT9pFDxMu1t9NJu383uy1DFS68Y/3fXFbdqo5cqvJUvbwnFTe5DJNtIG3xo73fqX7TnQL1X4uMHhOKXncroloqNvtI7zcrofj9Erq/E5n4qEo+ZKoAVzLyWiD4CYA0zrwJwHoALiWgdgEeQ/DMAgFMB7ArgTCI60+UdDOBpANe4Sb4K4FoAX203juGY6A3DMPoG9fQoQWa+CsBVU/LOFOlNAI5W2p0F4KxIt6/qZAxDMdEzAU13GLdX9CwO36Zx6fPuFPW4rtgn3I7VCaHYpb3d52u+7QAw7v3gKzKEbV69h7ZsqULbK/JujgrUKGNjbEQPCXSUHEonr0VT79pdgsyPrUtUSw4w9qX1AeCkyq+3Yuq+Fvyemt7kFP0mcS6lpuibYhdyzF6v433T5f4Iqdjd90JR8UCmxGOK3A+LYordBwuUB5LH6rq3haXdXYyLFMUfHHTu0zFPHH+3Kj8XPbXRt9lZPqQMxURvGIbRL5ipZ6ab2cJAXg0RvYeI1hLRL4noYiKaU9zKMAyjP/Rww9SsoO+KnojmA/g7AHsw8zNEdBmSxYcL4o3yJhsSppmqMN2MjTvTzHh2PM6EMN3MG5t0eZnpZV4tqzvHHasjzTVzq9mxPN5MI809NWXD0Fhkw5OGNF0UBs3yZ8KKevK2v8gTIDyZinLtpZLRTB4xE8O6q+/BHV/7LR743YPY6YV/hj1OXIRdlywEUGyO0hZoJUUL052gLYBKN0j5mhuBGaeSy5sUphtvpplsinKR9iYhaboJ3SvzYw2sEfk1dj0omTSnyHSrZLl4+4Nggc6cQuI0bhksUHwFUotKsJgrToFLTTrivaCKNEn5hV8RTLApF15dOrZYO02SePQzsxlrUAzqX1INyXbeGoB5AO4tqG/MYtZdfQ9+/dW7cdG/XYxNmzbjon+7GL/+6t1Yd/U9gx6aYXQBmaKfLm4316cB/AHAMwB+wMw/aNuION305E92kiq+Ni4WU52SnyvCBM8dyxT51i6tqXggU+9zRd6EWHid4w7iDAN9aZuI2qtUiWYPDINj5VV2XciplpB+Fads5CaphpBuUtF6dRoLxOWvW498oH35Ly9Yh4vP/yb2339/AMD++++PC8+/EG8/5X9hpwNfpLaVFN3xFN0RlN1EBujvdexAb6nefR0trAGQKXqZJxd2vZJvFqj4GN4VMQg0FmxecvUi7pNeRccUu88Pov3Ktc5avpzEAqoMQ+KHKEV6uIibj5DGnFfnJN8goe7TN07cXaCLjXQxEvdKU/TTgoiehSSIzy4AngdgKyI6Xql3ChGtIaI1zaee7vcwjQ548K4Hsc8++wR5++yzDx6868EBjcgwusfHuinzGBYG4XVzIIC7mflPAEBEVwB4PYBvyEouXsRyAJhYuIB9qGEfdKwqNzlJ90mX1lR8kk5iAm1Vy/K2qmZxgryS98odAOZVpI1eCc2rBO0qUqkSqSL97WAYWjfv8ifPG9U+cDGV2kT7ulL9e0UalucP43jOC3bC6tWrU0UPAKtXr8ZzXrATNjayTUVT++oV3bqkamOJhX9Oz88N7ojEnZa2IUqUN5r5EAixdIq2oShQ7MKGrSh2BIre3RFIFa4I4iBPKnKflso82MQkN1eFfSZjFdetJS9CKn6Wu/r85idZQQQWpHT3l+ygt5p11M6MHcSr+QOAvYloHiXBLA4A8KsBjMPoEbsc/xIc/84TcP3116Ner+P666/H8e88AX9x3J6DHpphdEwSprh3B4/MBgZho7+RiFYCuBVAA8BtcMo9CmWr8v53Rfy3D0IY+A1PwqtGbn7y9vi5FWmXz6v3eULlzyFhzy+w0RcdjKGhqXe50BME+nLpeuRP59sFKjcieJupStW35et26XygrucsfhHqrSqOPeU4PHTXA9hxl50w/x0vw46Ld8emZhuVXPBF6ZX6D0I6d9CnprJbkfUMr945yFPu1FoFKl4gQwT4zz23ZJ4Yq1f3QaQyMe70ZJEsL7Chjyl5Wl+B4pdRz+TdhVaej6Ymy7lVUcrlZ7gq6rryQPH31owyajb6gWyYYuYPAfjQIK5tzAzPO3ARnnfgoinmDsMYPpLolaNluhmenbFTdkUHakc5ak/ayLWgYtIPXtrjfVpT8QAw4fLHI8frab7dMkSAt/1J5VxBXr1PKrZ0ibwLkAdm+zUCqTzLqPt0fFK9K77jmtdJzBOloahcTREXhQIoUr79JKb0UkcQ6Iq97GsNP9cybEB4RyuvCQCkKHrNq4c1lS/byagYiqJX7fZAaKNPFX3Ehp96+CieOKKuXE9QQyQEEdh663UT8zQbVoZnojcMw+gLpugNwzBGnlHbGTs8E72/M+3dTmeVShoxUZiDgoiKSTpmrvFmmlisdG+aCc01WfvJNE+4MQamn+QD6M9bBUJzS7p5qAMf36IPdbiJSDPt6KabbAFSdznMzBn6tdTF0D6acbo5n1bSzYYouUApzTTpJiThUik/YVxgk8tMSxlSs6qfAS0sQ2SxV37cW6mZJ+9yCWShEyhw1RXj8t/1avDByKflAnCzh/HoubuzAmYzwzPRG4Zh9Akz3QwCllu4XVAvZTOKzI+5BLbSEAKiTUUqi4r7LRbNxKKY/0/fJKnIhVyZJl7xSxUfBheb2d14WgiEmIpO3S8VFQ+Ibf+Bos+7HMaCe2nnqE5fObcvlype+6tSl5uzPB25VMpxubdQfi4qyl0fi7xgsVbzvlTUOUf/Fu46kRAJ4SJu0ocMgCbDJaQLu1LGKwHQpMtlUFcJihaESJgmHZ4ZOxQMx0RvGIbRJxihUBwFhmOiZ4Aa7r+82z7dbIhNRmKzxKRLb66I03/kCVHuBCAZWviZVrZNXz3VSCTTjVqyWKh7b7vvZAu1tAfWXaSpZqDW2gfi6idFG5608lg4hrQ8sonIq/+iUAHdajntHWxFFHumtIXyVDroxK4fbORK+5XrPRnpvCM9DhV135IxEGpC3eebB3+X9GMdcYnUNkwFNnrZr3evDFwi8xuqWIQeVkMiB2fOinfDh0uIhEjoBWa6MQzDGGXYTDeDgQk06RSL+0fbFAdW1sV/9k1+Y4n4O2kbqoqQtua6CIfglbYMeyA3V1VpLFcu8Tb42AEhXt3XhcSRKnjS5ctyGdTMK5HYwSRaulmguIuI2Z0zG7telxW7sBYiIGijXbdLSZ82k5+VSF3vQUIxtxNHdKNaAWldqdilWdoJ1uBTI5ZrvLonqXyRV/eh3V7ZfBX8fUS5Fua44HxZWS6WyVKlLs+cDQKgKWfKynSq9IMNVT30uoG5VxqGYYw8pugHAQOVSfdf3tnD5QEMDSENNheoKFbsxtIrZ7Nz8t26WsvlAcDmaqLYJ0RYhI2U2fizMMbdBTprIu+JogU9kzZEqeg3uehUWmjjqe0yr5r2aihmY59pUkWv5OUKtPKSkOiIY68vdVvRy8t643TitVNRnnCw6UB6naSZWXHggePudOVhI+EGBpcpyuXdlVfp0aMGs3R2lKDIC9Q559oHdwTe60ba8CtKWnjLkR080pbhmOgNwzD6BIMCl+FRYCgmemKgsjn8DysP0JD/yycVTw5p9/V/QHnM2yZxMMmmZvKWbKpljsFzqpli9yGN5fGCMq0p+jFR7qkWGJajRwl6FS7K6628epcqXjvkWqaLDtsYFOnxef1UV/LP0sPLakq+E3Xvd1/LPQmVinT98od1ZFlSsVecV4r8LJGy81RT8Una/S0ClY226aC9Vl6J9cVKed5eT8G6QG8/I4P+7PeaoZjoDcMw+gab6cYwDGOkMRv9oGgB1U1JMotFLYqFacLfWjbk2ZgiREKj6UwbDbHJSqSfGUtMNhsD003+tKpxkTeumHHGxOKQjIfvb8ErkQVa72YXDTugxLPXwhbUlUXXqfnepBMNF6EsXAdjKbmdP4irLv5wPj8Wg93/kYOTikhZOJUug4o5JGb6UU0nEbdc0vKCdPK7Eilv1yZOvn1VmGukGSd9r4UJpCJMN958GcSzF/6b3jQSnNok1729y2PEXAMtn/S6mekm0hd5xwsZ6SxfPsWHGr1k1Cb60VpxMAzDmCYMQrNVKfUoAxEtIaI7iWgdEZ2hlE8Q0aWu/EYiWujyDyKiW4joF+73YtHmVS5/HRF9gaj9f7qhUPTUAmrPJOmmsr262ZTq3anQhiivC3Xr0o0x4VI5nr0N/vzZjWNCsVfF5qiaOzNW5I3LEAsuX+ZJRe9DHmsqX1KJLNZqi0RaSNVWZMNUQ3Wv1Mv9wnUn57wWIV+XV2yyS02xykVHbfNUeHRpfnydLHrGgopldye6Iq8o5Vq/sa+jtrkqDNncvk36sqN3L644yJRpDitO6SrNDtpArZvuY4vWzSv2QN0r12JlXDKvYJ7rmF4txhJRFcC5AA4CsB7AzUS0ipnvENVOBvAoM+9KRMsAfBLAsQAeAnAYM99LRHsCuAbAfNfmywDeBeBGAFcBWALg+7FxmKI3DMMQsFuMLfMowWsArGPmu5h5EsAlAJZOqbMUwNdceiWAA4iImPk2Zr7X5a8FMNep/+cC2JaZf8aJa9XXARzRbhDDoehZ2OidEG4Jj8XgUIO6U/RSxTdE8Ci38ao5LvLqwhXRKfrJseytqYqASWO1cfdbKnZR7hT9mFTslVaubo3yeYA48zaiDGNKfyoxRVIYdExxrywKoRCjkip2LXhXZq8P4lWJpQv/voVhirNy7z4YC5HQDZ0ocs0eH2+fb1OEFvRspg/e6SnTFcUV2UF/X3gHLr07EtEa8Xw5My8Xz+cD+KN4vh7Aa6f0kdZh5gYRPQ5gBySK3vM2ALcy82Yimu/6kX3ORxuGYqI3DMPoHx0FNXuImfea0dEQvQSJOefgbvsYiomeWsDYRrdhZNypTKHixal+8BGHpY3eq/ik3Hm11EWbzUL9jzmvlppQa7VMZk66dEXkVWXaK3ZxF1ARngxe6VdFnlT8XhFKxa8FZYsq/mkejFE29DAgwkkUSLdg/Eq5DP8m1b1X73LjDynXl2pvpg4mmQkbfBGxA1n08vZ/Ay2AXBhbQjPiy3KtTZYkLT1dEd4a3O1LDzfpbQCws3i+wOVpddYTUQ3AdgAeBgAiWgDgSgDvYObfifoLCvoMMBu9YRiGgDlxRy3zKMHNABYR0S5ENA5gGYBVU+qsAnCiSx8F4DpmZiLaHsD3AJzBzD/Jxsf3AXiCiPZ23jbvAPDtdoMYGkVfe8YpWafem0KxV8QxZk1X3sqiGqAlylMb/mZZLpSRS7NQ9C1xgEPL5UvF3xBbyanqw8Xmt58n6bwil14l/k5AKsdA/ZMvz8av2Ypj/tyasixr959KWSUfCZyrqgxW/OyDcuXuQqrdSqTudNF94vP1ipR77I6g7FjjR/2590LuH1GO71NVPESY4OCwkHy5qtxz/Sp1g6Bn3L5c295QdFvW48WLXnndOJv7qUg8ZqoAVjDzWiL6CIA1zLwKwHkALiSidQAeQfLPAABOBbArgDOJ6EyXdzAzPwjgbwBcAGAuEm+bqMcNMCQTvWEYRr9g9FYkMPNVSFwgZd6ZIr0JwNFKu7MAnBXpcw2APcuOYSgm+sBG79S5jBPWFIq94hW7VPEyvVnJC9JOGYkgSS0ZTtUp+SDEqlDvabnIawaK36WFSpeK3+9sDPMUG31Frgsoil5pA2R3BEndfLmmOGMqtZuDskNPEj8m8f6JL5gP/BbYoiFfi+9H/1KW/bIGR+p1ucbRzXuhjS9ml29pexpa+b0SwbGM2u5wWS72n5BLB8paLp74nbVNvVxLB+2VO4FQ5cu6nM9TFH+hyu8aO2HKMAxj5BkqN9YS2ERvGIYxhb6Gxu4DwzHRtxi1jcl9YGXc3cLW5WKsuEUdc7f7Y7rpxeeHeSLtT9KR5YHphoJ6Mi+p6003YvzCdJO2C/KE6cKlg1jh0rTiyyOmH2+y0cw9shzI3DqLzDxFC78SzfQRM2t4k03wpdLaF5xJW425V6oBzrRxqN13RdEiXmwC0RaWNdNMs6mHtkhDf4hyaZrxphfNXCPTYV7W3JtKY6adIK2ZZjTTjnCfDNP+BUi3WpFucq68lxI88boZLYfE4ZjoDcMw+oiZbgYAtRjVTU7R191JOWPipB2pqFPFns9L0u53oNjz6j9U8aKucsI9K32Fp/OI/tM7BqniZd38Yq44TCtV/xS5IyCn0qWil3VlOIeGO3OzE8UvN3dV0hAG+QVW2a9UsZq6l31qxBS9J1zAzVO0sFbmNr24j+S3dFUtUvfhwqpX9FleM3CVVBZjg2B+7ixleQKUVPfOHZkaQqk2FEUvQ4s08uo+LEeuHBDqX5RXmuIzpvUlysmFLJFtgs1T3j2zqaj8HmGmG8MwjBGGQTbRDwJqMaobk5gFLRdemBpCWcoNTS6YmVTpLBV9VVP8Ul0rNnxF8UsVHqj/qr+OyFPs/VLla+q/FVP8fg1AmhDl5i4XQyCw8QsV3xIxBtLNWxFXzpYLKiXDOchb2lTJt6TLpjTouzuCDsI1aJu3Cl0epSlaUdFS5eshEtrbzQF9PaEV3Kn4vvQhpuEiFBUPZDbhqI2+lbfRB+6TDcV9UipyXy43GspyFxKkIte+pCJv+PJ8XrSuCCZYUdS7pvIBsaFKlou+yH/exOcuSPeAEbPcDCYEAhFtT0QriejXRPQrInrdIMZhGIaRg5N/omUew8KgFP3nAVzNzEe5+A/z2tZmBm1OpETFK3mh4rkmVaqi6IWKVTdEyRAIXlFXdcWv2eDDa/k8WS5eSkXJ0+4IlD6D60vFL+tWOFcOWS7y/UYu+Vor1fzdjVSxlYocl1svEXkyPHMW9Cyj6JCVTjZsaWj2/GD8WshkmSfrij7K2ujDw0Ly9vYwL6/YQxt8vlza4FvS3u7LRV5gY/c2eulVI9W5U/KBMq/n06UUfZ2VclbK83Z5WU4RG73PD8p7vHpqpptpQkTbAdgXwF8BgAvGP9mujWEYRj8xr5vpswuAPwE4n4j+EsAtAE5n5qejLVoM2pRICR8yOLA/VsXh4E7dUyWi+OtekctyaYOv5PPEvyHWbPy18oq/tI0/5vWTegVR2/LQ+4L1tB+3aN+UB0Yr7spV5RNTE5q9HljEfUhm8VoK/Nwlqg2/gzapOo4pdkWFayEaACB2RN9UYl4zPl+qeM0nXnrSsFT8Ta/o5SktYkypV01exQOZkq8oKj4pR758UtZ1vwsUv6wTqnhZ7hR5XfeaIXf6jFyHk2k08jb6oHyaMEZP0Q/CRl8D8EoAX2bmVwB4GoB2YO4pRLSGiNZMNp/p9xgNw9hSYST/2Ms8hoRBTPTrAaxn5hvd85VIJv4AZl7OzHsx817j1bl9HaBhGFs2zOUew0LfTTfMfD8R/ZGIdmfmOwEcAOCOgkbApLuPdLYJaZqR7oNw7pUkF2vF+bF+ETd0b5Sbr/LlMh59ukAZmGOk+yYH9YApIRaUDVmaaaeibNJKXpcrV/pMyil3TRauayw90vytv8gL4vD7ZMxlUIkdIM04TR+KM+J+mS6cim6qPXRs82aY2EJqGulTXLIh/FY7iS7ZdO20TU4yX3OZBDIzDiuboJInfrE1b45JBp5fbA1MMw3FdKNsfio0x0TKq3VppnEb6QLTTytXHpp2RLk37YgDhKmZfYi9e2Vgrmn20r1yuDxqyjAor5vTAFzkPG7uAvDOAY3DMAwjzxCp9TIMZKJn5tsBlD9Qlxmo+6Ol3H9uucJXySQv+XzpZiYXXr3ykQu4gbp3+YHLoTxhKr+YG4Rg8IpfbtKqS8WeV9yaK6ZU+YG69yEc5AYTqehduQwoFahEKXxcXeZgtTSXjLkMMpdUUfKORGsShFUQY/V5XcaILxv6IBaqoKW4QmoqPinPK/aGutgqF1i1xVYxFiVAWdFiaxB2IFD0Lq9gMZUiLpPV1L1SX2CtKvmaipfpsFwurDbd74LFWKnie7lhikdvMXYodsYahmH0lS1J0RPRtsz8RL8GE4UBNHykJG9XljJRRlRyKkgqfqHeU9u+tOtXpPpv5vKke6a3/XNQnlf/cjNLRdmcxYHKhyhPfjdjNniv3ES5dlIPxcSOtD16LzX5oQ7S7rUGRnyhQjEDyBu1dDAihEMHp0EVhTvwSr6phAOemt9U3CO1EAZNZZOTTAcqXtvw1Iwodm3DUxDOwP1WXCaTfN8mnxe2z+cl+c7urrhJAkBlMkt7dS/dJzV7vKbik7SzwdfFC2godYXdPkj3hNFS9EVeN7cR0bKCOoZhGKNFq+RjSCgy3SwGcA4RnQzg/zDzuj6MKQ8z2NvoK17ZiHdZqnev+KXHgoyY5OtKu77Ywp8q+Zq4Ywi2jfsNVdLuLzds5T0GAnt+w2+4EncJY1KF5W2trXHpiZH034wcEKHZ6MPzOEV+mtY9SdJmgSdKXkVP9/Menh+RjcWHL26RruK1sYTjau81k9nd9U1Os90GHyh6bxdXVLxsFyh2pa62sUnmVycjKl1R9xWpwjWvGqni63lFr6p4IFPvgaLvrY1+mHzky9B2omfm3wM4kogOAfATIroZ8vvPfPgMj88wDKPvDJOPfBkKF2OJaHcA7wPwYwDnYhA3LMw5G720kQeK29vj5WEWMnSut+1rdn0gU/zS91srl149NaHevc9+JOiaPzBFBnGipuzL+TuP6SrTq3+p0qWYSX3T5Qc1ouhbyoc5sGunXjc6rFj+tD4RUeyp14tcw1Ds8bHjC8va6GOhhf2XWVPugO4HL2303IkfvKLo5SEg6cEeXdrgVcWueNCQ4kmTtFMCkWmeNFEVn/ewkXe1gT3epQPfeMWrRlXxMi0/+L220W9JEz0RfQLAUgDvYear+zMkwzCMAbMlmW4ANAC8gpk39WMwcRjs/2M7dS4PC5aKPbXbhidaZ1U1P3xN8TcUuz6Q2valb37gAeTVvzxcWKQrzaSu3IEaHIzsVKD02KBAWfq8rHv5oUzfF9k+pk4Kdr5qH3bNhh8oe9XGr/vhe3VdFWOtCXXfdFtWo4q+QHZ5G32RoteU+9R89eAPTb3LQGaKOo8pdtUPPrDXu7xp2uDD/qWnTD4v9LP3njLtPWmS1+K9bnQ/eG+Pjyp6/yGPedX472Zr5hR9l1s3Zi1FNvoP+jQRvR7AQtmGmb8+YyMzDMMYBEyhG/IIUGrDFBFdCOCFAG6Hjz2baDeb6A3DGD22JEUv2AvAHlzkzzZTMHIRtjhiuiHNdCODevnFWrF9n0iaWVx+RTe9pIu8Mk8GX/JumRHTjT/LVcYaZxGcPr3tDTbxZF15pUGsm0uyxVjZKL/AOiVXtBdPFPdLOZaKkofgdfkFTLFYLTeH+U1C0lwjzVw+6JiIOhYz42ho57RqZ7IG5comJyAzw2iBxmR5oWmmmTfHyLrh2apZWltM1cw0scVWnx+EKlBPhdJNM1QUiCww3ShBx6TpppkPcRCYSv3npSEGqIU7mCn3SmDkJvqyYYp/CeDPZ3IghmEYswYu+SgBES0hojuJaB0RaWdvTBDRpa78RiJa6PJ3IKLriegpIvrilDY3uD5vd48/azeGsop+RwB3ENFNADb7zL760U8NoCUVs3jH1cVYgab4WXGfpEC6KuES5BFRMs6tH6dYoCW5WOvPZJXjD45wqrouWS1PlX6gvOUdTb5cCt+m5k1Q4HJJQV+KupfKtpX/WwQqXl7f3b1IRS9vrsi971LRy9uQsoo+5t6Z3lG0dEUfbG7yrprNvEoHIoutyqY2zWUyLIdeXrTYqrpP5tV70alPoYrvwGWymV94DRdYtQ1REUXeUtwntYVXuSmxbIC9MvRwwxQRVZG4pR+E5CyOm4loFTPL0OwnA3iUmXd1kQg+CeBYAJsA/AuAPd1jKscx85oy4yg70X+4ZD3DMIyhp4deN68BsI6Z7wIAIroEicu6nOiXIptjVwL4IhGRO151NRHtOt1BlJromfk/p3uh6cAIlWKCUAgyhEEzzczyKlKlhW6awBRXTaccNJUPCKUfWSNIlTxHZLJT5CTvCGTdmjImXdyL8YvxeWUTqPx8G1knVOyyPH/9cCOWu4aMeSZFmK8bbBwSit/d3cgNUwgUvbPxx1R8kehK/1T6GkWq3mV5zD0ytbEjlwcA5NdOGnp5qriVTU5BeUTRazb4iuIqqW2SArq0wSthgoONforLJID0YJBoCINubPCt/AeLZXmvlw/Ld7cjEUlVvZyZl4vn8wH8UTxfD+C1U/pI6zBzg4geB7ADgIcKrn0+ETUBXA7grHZrqGW9bvYG8K8AXgxgHEmE8aeZedsy7Q3DMIaJDhT9Q8xc/myN3nEcM28gom2QTPQnoI0XZFnTzRcBLAPwLSQeOO8AsNs0B1oe5ryNXha38mvKJO3qzaAg+S1N5FIZaBuy5LX8J0B67YgwyMGYPVUpI5WxBs+cyhGKX7ZoKXlhjIL2NvpwjEq5on4DEa2FRA5uiPJ2aXmICgtFn76Iqv5etfydmFT0lS6UW+BVI/pK70ikohfDayrvRcxrpql4zchrKQd/kKbYFbu7TMc2POk2+Lx6l3nUzNctssFHDwORNnjfr6biZd1GRJH7ckXFA+L7qtyJ94ze7YzdAGBn8XyBy9PqrCeiGoDtADzcdnjMG9zvJ4nom0hMRNGJvqzXDVzkyiozN5n5fABLyrY1DMMYGsp63JTTHDcDWEREu7ijU5cBWDWlzioAJ7r0UQCua2eGIaIaEe3o0mMA3oLEMzJKWUW/0Q3ydiL6FID70ME/iV4w1UYf2OUVta+p/KSdt/8FmVnaC2IZ1CzowNt1hb+4LPbjrEb+Tv7vF/Wq8SESRJ+i3HvjcMTGn9YN7hwif6pUscv3Uo7F3d3It1dJa2GSAWTHNorXIl+XfwnBUY5Ssfthx+zyJW306j4D6HckUO5IkrRmoxdpv/0i4gevKnp591Ck+DUbfKDIw3rJ9TXFLvM0xR6xwau+76JcKur0YBDFk0bmx0IY+M94YKNXFL889rLnir5H3SQ291MBXIPE5L2CmdcS0UcArGHmVQDOA3AhEa0D8AiSfwYAACK6B8C2AMaJ6AgABwP4PYBr3CRfBXAtgK+2G0fZif4EJF+7UwG8B8ltxttKtjUMwxgq1LONu4SZrwJw1ZS8M0V6E4CjI20XRrp9VSdjKOt183simgvgucz8/3VygZki74WTkCr9iE2/0J6fluf9wZPK5Wz4gdiUdTU/fAXZP4s/kyZiK4Gy0fqS6fyO2lCZyl2qnMvTjihsRVSuV+9BnvAjTxW9HJK8UUkVvWjThaLXd/uK1xJ5fZpi11S4rBv1qmkpeariZ7U8s7HLa+Zt8BQLI+y9ZpoxxV7OBi/bF9rgi/zgA7u84hMfa+8Vv5LXM3rc3aApZX4hosOQxLm52j1/ORFNtTMZhmEMPcTlH8NCWTv7h5Gs6j4GAMx8O4BdZmREhmEYg4ap3GNIKGujrzPz4xSGFejv/zN/O0ft/zdpJh114Vb0I9sEZhxPq/PF2mAUcgEwNvD0Wq5lLWKuYWVDlmIGCt6liOkiDZAWxK6Xm8OS38EJVoFpI7/YGi7GujxpjtEWYwPTTf4dCtaV81EJoqSKK2a68aadyGKzNJ1oC88VzbQTM824dLhYKuqm8ebzC6xJXc6Vk3Sf9MHwgv6Fq6Q37SihCgBkpzoFgcKkmUeLAT9Di63ZQQH5PIjvXmxTYi8YIrVehrIT/Voi+l8AqkS0CMDfAfjvmRuWYRjG4Bgms0wZyk70pwH4ZyQBzb6JxFXoozM1qLaoq43lVX7PFmulCtXOlw0UTN4Vs1DZy+3hwQCdMost5ram/EabAGnsA7hJFS8X6PIuhS15qpI7Jaslg5Y1ZLm7vhiqjO+mKfrgfU0XY0XeTCzGyjxFpcs+Yu6V2oancLE0rBctj7hHeqVeUfKSui2lvaLeWxFF39ICkRWEJZjuYqvmMinaFS62BncBvQ1q1kuvm9lAWRv9Hu5RAzAHSRCem2dqUIZhGANF2xylPYaEsor+IgDvQ7L7avb9rwv2tffJht9BmGRNeMpRkGaf1MIqACgMoZAqfjkmGTI5y29590mpEqW6byo2fBkCYMxv+8+rfCBT7zIEQkVxn1RdKsUL60jFa3Rgoy9KxxR7umGqQLEHeUrdwD1SUe+a3T3Il2200MDBHZviKhmzq/v+Y2EHBmGDF9/7mLt11wzRJF6GshP9n5j5OzM6EsMwjFnClmqj/xAR/TuAHyE8eOSKGRnVdJgJG76i7lXvHEC34UtlpdgaWXyqCgWrZqvsIISCvBOpOCkdBBqT70XD2fBluF3hFePt8aFiz9voOWaj94pehpFW7PVFil6Wq19QRcXL/FC551W6TIc2fEWxB15JRV4xyh1BQ1fcqeKPec14G7v8W2qBxqJ2dWX3m1a3FWkfHDjTow1PBTb4nqv4EabsRP9OAC8CMIbMdMMAZt9EbxiGMV1G7H9I2Yn+1cy8+4yOZCbpwobfSdA0ta7ie58UO+UlOxP2eK/+C0MoxMr9+GN+9kFdN/6aVJZCmVW9ihSKeyxvw5cqnoW69weKxGzwqh+9ko76y5e11/dC0Tfbl6eKXbZp5N9XLS/pXwlR0FTUfZHXTKDoNa+ZAt93LVywzI8d3zdoG7x53bSlrNfNfxPRHjM6EsMwjNnCFup1szeSEMV3I7HREwBm5pfN2MhmipI2fNVuH+mnfKA09G5nrfSz1w4qZ11NkTzWzyt5Ob6GUOy1Sq4NS0Va84pdlFfz9vpApctDSCq+XKg9eXOkHDwiURyQAlRVpnrdsF6uqHfNri7rhipds7HH1kOcIg/s5vJaBV4z6m5URb039c+F6vsuVXh6GIhe3lcbfC/VuwJhy12M7fkhI+509DUANjDzW3rdv2EYRtdsiRM9M/9+Bq59OoBfIQmqbxiGMTvgLVfR9xQiWgDgzQDOBvD3gxhDQMFibelNVqJ9NFBar0IoxG6hq1rQM7mYKzZPpYtm0rQk0j5fMecAmUmHxesLTouq+nLSy7V484F7pTPt9HDDVHiaFLct10w6oelGWWyNmWa0xVLNDFNkuom5LPprxdwj08XUyDmtvdrkJOnjYmvPXS1HbDF2IBM9gHMAvB/ANgO6vmEYRhRT9NOEiN4C4EFmvoWI9mtT7xQApwDAHMzrz+CATDl0s8kq0n7aIRQ62WTl60plri3WyrGKXUykKXqZJ1wt0UjaUaDSRd1qy+Xpij5deJbvXxDAzD2pKHkdEDsNLHUvjSjP0BUzr9i1u6qOFHuwSJ53X1TrxhR5WfdIbYEVEHc37RdYJdHF1gL1nmV1t9jal41SIzbR9/WAb8cbABzuDr29BMBiIvrG1ErMvJyZ92LmvcYw0e8xGoaxpVLWtXKI/hn0XdEz8wcAfAAAnKJ/HzMf3+9xFNJloLQZCaGguWJKu3Zgo/ehhyM2eqmIvZKXKrJayZUHB84IxU5esQuVLu8IvLoP3j5Z7vuVdwSkq3t1/Ol1lHqIuVdqalO0CRQx5/OLyosUeyR0bxZiQCrjDhS3tgmpKDSw1lfsLORODvsoq947cJPsd7gDM90YhmGMOjbR9w5mvgHADYMcQyk6CJTWTQiFsNuCEArertqBDV9en+S4lfWAIOqYV4Tytcg4wz6McWCXF4rf2+AVu7wsD+5OgruHfJuAsvb6mI0+VeGiy5i3kqbotXaxDUmaYpefC83GrqVjNnrXb7dhCbIhTc/unmQPwIOmx5uoRi0Egil6wzAMyZDZ38tgE323dOF7n1TtwoYvD6mmzm34gR++ovRVlS/7kIpdjiu1seshFPydQGDjl+lq/n0jTd0XuQzElH1MyXu0G7WYotZs5Fp6uoo9pqiV/lX13klYAok2/qC8A6+ZNm06at9lv9OF0N12jdmMTfSGYRhTMUVvGIYx2pjXjZFnhuPdS6a94Uox6RQu3GrmGpmWC7haeSViumkor7GiLNZKutgwFVBwQldAQXTF7kw7M2SaUfqcbliCMHtAZpqS/fecEZvoB7FhyjAMY/bCiddNmUcZiGgJEd1JROuI6AylfIKILnXlNxLRQpe/AxFdT0RPEdEXp7R5FRH9wrX5AqmqKMMUfa/pIoSCpGcbrjSVD+hKX35GglhqlXx5oLhdeatA8cvF3CKVrpVr5wH0gkKVGlHnWp62oaggBnuhYg/adbGhKXJd0UjJmp5yL9VHcQfTa98LeqToXTj2cwEcBGA9gJuJaBUz3yGqnQzgUWbelYiWAfgkgGMBbALwLwD2dA/JlwG8C8CNAK5CEkr++7FxmKI3DMOYAnG5RwleA2AdM9/FzJNIwr4snVJnKYCvufRKAAcQETHz08y8GsmEn42N6LkAtmXmn3Gi4r4O4Ih2gzBFP1PEVEm/bPiSDuz5QV9aeRAyuZUv1xS/vE2I2evb5Wnn5PaSIpfDojxA37CklE9bscfG0kWIgS3O7t4J5V/ajkS0RjxfzszLxfP5AP4onq8H8NopfaR1mLlBRI8D2AHAQ5Frznf9yD7ntxukTfSGYRhT6MDr5iFm3msGh9ITbKLvNzNhww/aFZxfK1Hs+VJxlw230JGNX27+UmzvpL4vTSVPb19IBypUVefRDUWaPb5AhcvssnX7uKGpo76KO5he+37C6OXBIxsA7CyeL3B5Wp31RFQDsB2Ahwv6XFDQZ4DZ6A3DMAT+cPAe2ehvBrCIiHYhonEAywCsmlJnFYATXfooANcxx2x8ADPfB+AJItrbedu8A8C32w3CFP2gmKYNP2zSQ3u+Fm4h5sGT1iuw8cfqKkKdi+zxBe07oihEgiRmx2/TV2mVHlynvGIPi3uj3nsSDniY1HuMHnndOJv7qQCuAVAFsIKZ1xLRRwCsYeZVAM4DcCERrQPwCJJ/BgAAd27HtgDGiegIAAc7j52/AXABgLlIvG2iHjeATfSGYRg5oqeSdQEzX4XEBVLmnSnSmwAcHWm7MJK/BnmXyyg20c82OgiJnDXpXOUn2e377Ubxqzb+oNP2dvVefsF6STQYWFqhS6WeXaCgeBYp9g6vOXQwRm5nrE30hmEYU7BYN4ZhGCOOHTxi9J8emXOSZsUmnax4mqadrKLsNV9eZO6ZTXRi+ujlhqMuzCRblEtkrzFFbxiGMcKUd50cGmyiH1Z66J4ZNu+d4s/IVDppm5yKRHzBa+op01Sx/Tw1yRZWZxCb6A3DMEYXv2FqlLCJftTowp4fNu+d4tf770adt5f86l1C9Poz/A3uoTI2xT44aKY/J33GJnrDMAyJ+dEbQ0mRmuuh4g+7VZT2DCjL7u4SMBCVO2N3FKbYe4q5VxqGYYw6puiNkaOHij/sdnrfltK29z6q2Rm38ccvPJjrbqHYYqxhGMYow+gssukQYBO9UUwnarKHPu8DU8/9wlT6rMVs9IZhGCOM+dEbhmGMOsxmujGMtkzXHNHPcAe9xMwwI4UpesMwjFHHJnrDmEFMGRuzAFP0hmEYowwDaI7WTN93gygR7UxE1xPRHUS0lohO7/cYDMMw2kFc7jEsDELRNwC8l5lvJaJtANxCRD9k5jsGMBbDMIw85nUzPZj5PgD3ufSTRPQrAPMB2ERvGMasYJjUehkGaqMnooUAXgHgxkGOwzAMI8XCFPcOItoawOUA3s3MTyjlpwA4BQDmYF6fR2cYxpYKAaARW4wdyERPRGNIJvmLmPkKrQ4zLwewHAC2pWeP1rtuGMashsxGPz2IiACcB+BXzPzZfl/fMAyjLSNouhnEfvM3ADgBwGIiut09Dh3AOAzDMBQ4i3dT9BgS+j7RM/NqZiZmfhkzv9w9rur3OAzDMGL00o+eiJYQ0Z1EtI6IzlDKJ4joUld+o3NS8WUfcPl3EtGbRP49RPQLJ5TXFI3BdsYahmFMpUdqnYiqAM4FcBCA9QBuJqJVU/YNnQzgUWbelYiWAfgkgGOJaA8AywC8BMDzAFxLRLsxc9O125+ZHyozjiENFWgYhjFDcOJ1U+ZRgtcAWMfMdzHzJIBLACydUmcpgK+59EoAB7i1zKUALmHmzcx8N4B1rr+OsYneMAxjKlzyAexIRGvE45QpPc0H8EfxfL3LU+swcwPA4wB2KGjLAH5ARLco18xhphvDMIwpdOBe+RAz7zWTY4mwDzNvIKI/A/BDIvo1M/9XrLIpesMwjKn0zutmA4CdxfMFLk+tQ0Q1ANsBeLhdW2b2vx8EcCUKTDo20RuGYUgYQKvko5ibASwiol2IaBzJ4uqqKXVWATjRpY8CcB0zs8tf5rxydgGwCMBNRLSVCwgJItoKwMEAftluEGa6MQzDEBC4ZztjmblBRKcCuAZAFcAKZl5LRB8BsIaZVyHZQHohEa0D8AiSfwZw9S5DEvCxAeBvmblJRDsBuDJZr0UNwDeZ+ep247CJ3jAMYyqt3p105vYJXTUl70yR3gTg6EjbswGcPSXvLgB/2ckYbKI3DMOQeNPNCGETvWEYxhQsqJlhGMaoYxO9YRjGKDNcAcvKYBO9YRiGhAHYwSOGYRijjdnoDcMwRh2b6A3DMEYYBtCyid4wDGOEscVYwzCM0ccmesMwjBGGATRHa2usTfSGYRgBDLBN9IZhGKONmW4MwzBGGPO6MQzD2AIwRW8YhjHi2ERvGIYxwjADzeagR9FTbKI3DMOYiil6wzCMEccmesMwjFGGzevGMAxjpGGAbcOUYRjGiGMhEAzDMEYYZqBlE71hGMZoY4uxhmEYow2bojcMwxhl7OARwzCM0WYEg5pVBnFRIlpCRHcS0ToiOmMQYzAMw9BgANxslnoMC32f6ImoCuBcAIcA2APA24loj36PwzAMQ4XdwSNlHiUoErZENEFEl7ryG4looSj7gMu/k4jeVLbPqQxC0b8GwDpmvouZJwFcAmDpAMZhGIahwi0u9SiipLA9GcCjzLwrgM8B+KRruweAZQBeAmAJgC8RUbUbsTyIiX4+gD+K5+tdXgARnUJEa4hoTR2b+zY4wzCMHir6MsJ2KYCvufRKAAcQEbn8S5h5MzPfDWCd669jsTxrF2OZeTmA5QBARH+6llc+DeChwY6q5+wIe03DgL2m4cC/pudPp5Mn8eg11/LKHUtWn0NEa8Tz5W7u8mjC9rVT+kjrMHODiB4HsIPL/9mUtl4UF/UZMIiJfgOAncXzBS4vCjM/h4jWMPNeMzqyPmOvaTiw1zQc9Oo1MfOSXoxnNjEI083NABYR0S5ENI7EBrVqAOMwDMOYacoI27QOEdUAbAfg4TZtOxbLfZ/ombkB4FQA1wD4FYDLmHltv8dhGIbRB8oI21UATnTpowBcx8zs8pc5r5xdACwCcFPJPgMGYqNn5qsAXNVhs+XFVYYOe03Dgb2m4WDWvSZnc/fCtgpgBTOvJaKPAFjDzKsAnAfgQiJaB+ARJBM3XL3LANwBoAHgb5m5CQBan+3GQTxiW30NwzCMkIHsjDUMwzD6h030hmEYI85QTPSjFhuHiHYmouuJ6A4iWktEpw96TL3C7dy7jYi+O+ix9AIi2p6IVhLRr4noV0T0ukGPaboQ0Xvc5+6XRHQxEc0Z9Jg6hYhWENGDRPRLkfdsIvohEf3W/X7WIMc4m5j1E/2IxsZpAHgvM+8BYG8AfzsCr8lzOhJvqlHh8wCuZuYXAfhLDPlrI6L5AP4OwF7MvCeSxbxlgx1VV1yAJCyA5AwAP2LmRQB+5J4bGIKJHiMYG4eZ72PmW136SSSTRy4MxLBBRAsAvBnAvw96LL2AiLYDsC8Srwgw8yQzPzbQQfWGGoC5zmd7HoB7BzyejmHm/0LioSKRoQS+BuCIfo5pNjMME32p2DjDiotU9woANw54KL3gHADvBzAqx/PsAuBPAM535qh/J6KtBj2o6cDMGwB8GsAfANwH4HFm/sFgR9UzdmLm+1z6fgA7DXIws4lhmOhHFiLaGsDlAN7NzE8MejzTgYjeAuBBZr5l0GPpITUArwTwZWZ+BYCnMeTmAGe3Xorkn9jzAGxFRMcPdlS9x204Mt9xxzBM9B1v9x0GiGgMySR/ETNfMejx9IA3ADiciO5BYl5bTETfGOyQps16AOuZ2d9trUQy8Q8zBwK4m5n/xMx1AFcAeP2Ax9QrHiCi5wKA+/3ggMczaxiGiX7kYuO4EKTnAfgVM3920OPpBcz8AWZewMwLkfyNrmPmoVaKzHw/gD8S0e4u6wAkuxSHmT8A2JuI5rnP4QEY8gVmgQwlcCKAbw9wLLOKWRum2BPbQjzgYU2XNwA4AcAviOh2l/dPLjSEMbs4DcBFTmTcBeCdAx7PtGDmG4loJYBbkXh/3YZZGDqgCCK6GMB+AHYkovUAPgTgEwAuI6KTAfwewDGDG+HswkIgGIZhjDjDYLoxDMMwpoFN9IZhGCOOTfSGYRgjjk30hmEYI45N9IZhGCOOTfTGyOMiat5CRPuKvB8Q0dGDHJdh9Aub6I2Rxx2/9jcAvkhEY0T0dgAtZv7WgIdmGH3BJnpjIBDRQhfj/QIi+g0RXUREBxLRT1w88dcQ0VYu7vhNLqjYUtH2x0R0q3u83uXvR0Q3iPjxF7ndn3BhDH4K4MMAPobkgHrD2CKwDVPGQHBRO9chidy5Fkmoi/8BcDKAw5HsQL0DwB3M/A0i2h7ATa4+I1Hkm4hoEYCLmXkvItoPybb3lyAJvfsTAP/AzKvdNZ+NJBLqOcz8z/15pYYxeGZ9CARjpLmbmX8BAES0FsmhEUxEvwCwEEkAu8OJ6H2u/hwAf4FkEv8iEb0cQBPAbqLPm5h5vevzdtfPale2L4DHAew5cy/JMGYfNtEbg2SzSLfE8xaSz2YTwNuY+U7ZiIg+DOABJCc+VQBsivTZdP3AxZH/FIDFSOLLH2qxhYwtBbPRG7OZawCc5u3sRPQKl78dgPuYuYUkOFy1RF9nAriMmX+NZGH2c8N4VqphdINN9MZs5qMAxgD83Jl2PuryvwTgRCL6HwAvQnIgSBQiegmAIwGcDQDMfBuSfyL/OEPjNoxZhS3GGoZhjDim6A3DMEYcm+gNwzBGHJvoDcMwRhyb6A3DMEYcm+gNwzBGHJvoDcMwRhyb6A3DMEac/x/oC3jgheKSuwAAAABJRU5ErkJggg==\n", 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\n", 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\n", 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\n", "text/plain": [ "
" ] }, "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(\n", " df,\n", " w,\n", " \"meanX\",\n", " \"meanY\",\n", " xmin=0,\n", " xmax=10,\n", " ymin=0,\n", " ymax=10,\n", " numx=100,\n", " numy=100,\n", " )\n", " ax.scatter(\n", " [4], [8], edgecolor=\"black\", facecolor=\"white\", label=\"Observation\"\n", " )\n", " ax.legend()\n", " ax.set_title(f\"PDF t={t}\")" ] } ], "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": "3.9.7" } }, "nbformat": 4, "nbformat_minor": 4 }