doc/example/sampler_study.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# A sampler study"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In this notebook, we perform a short study of how various samplers implemented in pyPESTO perform."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## The pipeline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "First, we show a typical workflow, fully integrating the samplers with a [PEtab](https://github.com/petab-dev/petab) problem, using a toy example of a conversion reaction."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "2021-03-15 08:50:22.614 - amici.petab_import - INFO - Importing model ...\n",
      "2021-03-15 08:50:22.617 - amici.petab_import - INFO - Model name is 'conversion_reaction_0'.\n",
      "Writing model code to '/home/elba/Downloads/pyPESTO/doc/example/amici_models/conversion_reaction_0'.\n",
      "2021-03-15 08:50:22.619 - amici.petab_import - INFO - Species: 2\n",
      "2021-03-15 08:50:22.619 - amici.petab_import - INFO - Global parameters: 2\n",
      "2021-03-15 08:50:22.620 - amici.petab_import - INFO - Reactions: 2\n",
      "2021-03-15 08:50:22.629 - amici.petab_import - INFO - Observables: 1\n",
      "2021-03-15 08:50:22.632 - amici.petab_import - INFO - Sigmas: 1\n",
      "2021-03-15 08:50:22.635 - amici.petab_import - DEBUG - Adding output parameters to model: OrderedDict()\n",
      "2021-03-15 08:50:22.636 - amici.petab_import - DEBUG - Adding initial assignments for []\n",
      "2021-03-15 08:50:22.637 - amici.petab_import - DEBUG - Condition table: (1, 0)\n",
      "2021-03-15 08:50:22.637 - amici.petab_import - DEBUG - Fixed parameters are []\n",
      "2021-03-15 08:50:22.638 - amici.petab_import - INFO - Overall fixed parameters: 0\n",
      "2021-03-15 08:50:22.639 - amici.petab_import - INFO - Variable parameters: 2\n",
      "2021-03-15 08:50:22.655 - amici.sbml_import - INFO - Finished gathering local SBML symbols       ++ (3.76E-03s)\n",
      "2021-03-15 08:50:22.660 - amici.sbml_import - INFO - Finished processing SBML parameters         ++ (1.52E-04s)\n",
      "2021-03-15 08:50:22.665 - amici.sbml_import - INFO - Finished processing SBML compartments       ++ (2.55E-04s)\n",
      "2021-03-15 08:50:22.674 - amici.sbml_import - INFO - Finished processing SBML species initials  +++ (2.79E-04s)\n",
      "2021-03-15 08:50:22.679 - amici.sbml_import - INFO - Finished processing SBML rate rules        +++ (3.09E-05s)\n",
      "2021-03-15 08:50:22.680 - amici.sbml_import - INFO - Finished processing SBML species            ++ (9.89E-03s)\n",
      "2021-03-15 08:50:22.688 - amici.sbml_import - INFO - Finished processing SBML reactions          ++ (1.64E-03s)\n",
      "2021-03-15 08:50:22.693 - amici.sbml_import - INFO - Finished processing SBML rules              ++ (2.03E-04s)\n",
      "2021-03-15 08:50:22.698 - amici.sbml_import - INFO - Finished processing SBML initial assignments++ (7.04E-05s)\n",
      "2021-03-15 08:50:22.704 - amici.sbml_import - INFO - Finished processing SBML species references ++ (2.42E-04s)\n",
      "2021-03-15 08:50:22.704 - amici.sbml_import - INFO - Finished importing SBML                      + (5.85E-02s)\n",
      "2021-03-15 08:50:22.758 - amici.sbml_import - INFO - Finished processing SBML observables         + (4.68E-02s)\n",
      "2021-03-15 08:50:22.772 - amici.ode_export - INFO - Finished running smart_multiply              ++ (1.29E-03s)\n",
      "2021-03-15 08:50:22.785 - amici.ode_export - INFO - Finished simplifying w                      +++ (1.97E-03s)\n",
      "2021-03-15 08:50:22.785 - amici.ode_export - INFO - Finished computing w                         ++ (7.49E-03s)\n",
      "2021-03-15 08:50:22.788 - amici.ode_export - INFO - Finished importing SbmlImporter               + (2.05E-02s)\n",
      "2021-03-15 08:50:22.810 - amici.ode_export - INFO - Finished simplifying Jy                    ++++ (6.82E-03s)\n",
      "2021-03-15 08:50:22.810 - amici.ode_export - INFO - Finished computing Jy                       +++ (1.05E-02s)\n",
      "2021-03-15 08:50:22.832 - amici.ode_export - INFO - Finished writing Jy.cpp                      ++ (3.50E-02s)\n",
      "2021-03-15 08:50:22.854 - amici.ode_export - INFO - Finished running smart_jacobian            ++++ (1.02E-02s)\n",
      "2021-03-15 08:50:22.863 - amici.ode_export - INFO - Finished simplifying dJydsigmay            ++++ (3.55E-03s)\n",
      "2021-03-15 08:50:22.863 - amici.ode_export - INFO - Finished computing dJydsigmay               +++ (2.29E-02s)\n",
      "2021-03-15 08:50:22.867 - amici.ode_export - INFO - Finished writing dJydsigmay.cpp              ++ (3.04E-02s)\n",
      "2021-03-15 08:50:22.884 - amici.ode_export - INFO - Finished running smart_jacobian            ++++ (5.70E-03s)\n",
      "2021-03-15 08:50:22.895 - amici.ode_export - INFO - Finished simplifying dJydy                 ++++ (5.63E-03s)\n",
      "2021-03-15 08:50:22.897 - amici.ode_export - INFO - Finished computing dJydy                    +++ (2.16E-02s)\n",
      "2021-03-15 08:50:22.904 - amici.ode_export - INFO - Finished writing dJydy.cpp                   ++ (3.23E-02s)\n",
      "2021-03-15 08:50:22.921 - amici.ode_export - INFO - Finished simplifying root                  ++++ (7.09E-05s)\n",
      "2021-03-15 08:50:22.922 - amici.ode_export - INFO - Finished computing root                     +++ (6.78E-03s)\n",
      "2021-03-15 08:50:22.923 - amici.ode_export - INFO - Finished writing root.cpp                    ++ (1.28E-02s)\n",
      "2021-03-15 08:50:22.944 - amici.ode_export - INFO - Finished running smart_jacobian            ++++ (3.90E-03s)\n",
      "2021-03-15 08:50:22.953 - amici.ode_export - INFO - Finished simplifying dwdp                  ++++ (1.53E-03s)\n",
      "2021-03-15 08:50:22.956 - amici.ode_export - INFO - Finished computing dwdp                     +++ (2.09E-02s)\n",
      "2021-03-15 08:50:22.964 - amici.ode_export - INFO - Finished writing dwdp.cpp                    ++ (3.48E-02s)\n",
      "2021-03-15 08:50:22.991 - amici.ode_export - INFO - Finished running smart_jacobian            ++++ (4.88E-03s)\n",
      "2021-03-15 08:50:22.997 - amici.ode_export - INFO - Finished simplifying dwdx                  ++++ (1.64E-03s)\n",
      "2021-03-15 08:50:23.000 - amici.ode_export - INFO - Finished computing dwdx                     +++ (2.08E-02s)\n",
      "2021-03-15 08:50:23.006 - amici.ode_export - INFO - Finished writing dwdx.cpp                    ++ (3.27E-02s)\n",
      "2021-03-15 08:50:23.022 - amici.ode_export - INFO - Finished running smart_jacobian            ++++ (1.28E-04s)\n",
      "2021-03-15 08:50:23.028 - amici.ode_export - INFO - Finished simplifying dwdw                  ++++ (8.05E-05s)\n",
      "2021-03-15 08:50:23.029 - amici.ode_export - INFO - Finished computing dwdw                     +++ (1.16E-02s)\n",
      "2021-03-15 08:50:23.032 - amici.ode_export - INFO - Finished writing dwdw.cpp                    ++ (2.06E-02s)\n",
      "2021-03-15 08:50:23.056 - amici.ode_export - INFO - Finished simplifying xdot                  ++++ (2.48E-03s)\n",
      "2021-03-15 08:50:23.057 - amici.ode_export - INFO - Finished computing xdot                     +++ (1.02E-02s)\n",
      "2021-03-15 08:50:23.066 - amici.ode_export - INFO - Finished writing dxdotdw.cpp                 ++ (2.14E-02s)\n",
      "2021-03-15 08:50:23.089 - amici.ode_export - INFO - Finished running smart_jacobian            ++++ (2.54E-03s)\n",
      "2021-03-15 08:50:23.100 - amici.ode_export - INFO - Finished simplifying dxdotdx_explicit      ++++ (1.42E-04s)\n",
      "2021-03-15 08:50:23.102 - amici.ode_export - INFO - Finished computing dxdotdx_explicit         +++ (2.35E-02s)\n",
      "2021-03-15 08:50:23.104 - amici.ode_export - INFO - Finished writing dxdotdx_explicit.cpp        ++ (3.17E-02s)\n",
      "2021-03-15 08:50:23.133 - amici.ode_export - INFO - Finished running smart_jacobian            ++++ (2.19E-04s)\n",
      "2021-03-15 08:50:23.142 - amici.ode_export - INFO - Finished simplifying dxdotdp_explicit      ++++ (1.24E-04s)\n",
      "2021-03-15 08:50:23.143 - amici.ode_export - INFO - Finished computing dxdotdp_explicit         +++ (1.97E-02s)\n",
      "2021-03-15 08:50:23.146 - amici.ode_export - INFO - Finished writing dxdotdp_explicit.cpp        ++ (3.14E-02s)\n",
      "2021-03-15 08:50:23.179 - amici.ode_export - INFO - Finished simplifying y                   ++++++ (4.50E-05s)\n",
      "2021-03-15 08:50:23.179 - amici.ode_export - INFO - Finished computing y                      +++++ (4.03E-03s)\n",
      "2021-03-15 08:50:23.188 - amici.ode_export - INFO - Finished running smart_jacobian           +++++ (8.90E-04s)\n",
      "2021-03-15 08:50:23.194 - amici.ode_export - INFO - Finished simplifying dydx                 +++++ (6.74E-05s)\n",
      "2021-03-15 08:50:23.195 - amici.ode_export - INFO - Finished computing dydx                    ++++ (2.33E-02s)\n",
      "2021-03-15 08:50:23.211 - amici.ode_export - INFO - Finished running smart_jacobian           +++++ (1.15E-04s)\n",
      "2021-03-15 08:50:23.218 - amici.ode_export - INFO - Finished simplifying dydw                 +++++ (9.86E-05s)\n",
      "2021-03-15 08:50:23.219 - amici.ode_export - INFO - Finished computing dydw                    ++++ (1.33E-02s)\n",
      "2021-03-15 08:50:23.225 - amici.ode_export - INFO - Finished simplifying dydx                  ++++ (8.66E-05s)\n",
      "2021-03-15 08:50:23.226 - amici.ode_export - INFO - Finished computing dydx                     +++ (5.92E-02s)\n",
      "2021-03-15 08:50:23.230 - amici.ode_export - INFO - Finished writing dydx.cpp                    ++ (6.91E-02s)\n",
      "2021-03-15 08:50:23.249 - amici.ode_export - INFO - Finished running smart_jacobian           +++++ (1.44E-04s)\n",
      "2021-03-15 08:50:23.256 - amici.ode_export - INFO - Finished simplifying dydp                 +++++ (6.76E-05s)\n",
      "2021-03-15 08:50:23.257 - amici.ode_export - INFO - Finished computing dydp                    ++++ (1.17E-02s)\n",
      "2021-03-15 08:50:23.262 - amici.ode_export - INFO - Finished simplifying dydp                  ++++ (6.56E-05s)\n",
      "2021-03-15 08:50:23.262 - amici.ode_export - INFO - Finished computing dydp                     +++ (2.19E-02s)\n",
      "2021-03-15 08:50:23.263 - amici.ode_export - INFO - Finished writing dydp.cpp                    ++ (2.69E-02s)\n",
      "2021-03-15 08:50:23.278 - amici.ode_export - INFO - Finished simplifying sigmay               +++++ (4.36E-05s)\n",
      "2021-03-15 08:50:23.278 - amici.ode_export - INFO - Finished computing sigmay                  ++++ (3.84E-03s)\n",
      "2021-03-15 08:50:23.283 - amici.ode_export - INFO - Finished running smart_jacobian            ++++ (2.24E-04s)\n",
      "2021-03-15 08:50:23.288 - amici.ode_export - INFO - Finished simplifying dsigmaydp             ++++ (6.41E-05s)\n",
      "2021-03-15 08:50:23.289 - amici.ode_export - INFO - Finished computing dsigmaydp                +++ (1.77E-02s)\n",
      "2021-03-15 08:50:23.290 - amici.ode_export - INFO - Finished writing dsigmaydp.cpp               ++ (2.23E-02s)\n",
      "2021-03-15 08:50:23.299 - amici.ode_export - INFO - Finished writing sigmay.cpp                  ++ (1.19E-03s)\n",
      "2021-03-15 08:50:23.308 - amici.ode_export - INFO - Finished computing stau                     +++ (1.14E-04s)\n",
      "2021-03-15 08:50:23.309 - amici.ode_export - INFO - Finished writing stau.cpp                    ++ (4.80E-03s)\n",
      "2021-03-15 08:50:23.317 - amici.ode_export - INFO - Finished computing deltasx                  +++ (1.12E-04s)\n",
      "2021-03-15 08:50:23.318 - amici.ode_export - INFO - Finished writing deltasx.cpp                 ++ (4.36E-03s)\n",
      "2021-03-15 08:50:23.324 - amici.ode_export - INFO - Finished writing w.cpp                       ++ (1.32E-03s)\n",
      "2021-03-15 08:50:23.336 - amici.ode_export - INFO - Finished simplifying x0                    ++++ (4.87E-05s)\n",
      "2021-03-15 08:50:23.337 - amici.ode_export - INFO - Finished computing x0                       +++ (4.14E-03s)\n",
      "2021-03-15 08:50:23.339 - amici.ode_export - INFO - Finished writing x0.cpp                      ++ (9.07E-03s)\n",
      "2021-03-15 08:50:23.351 - amici.ode_export - INFO - Finished simplifying x0_fixedParameters    ++++ (3.09E-05s)\n",
      "2021-03-15 08:50:23.352 - amici.ode_export - INFO - Finished computing x0_fixedParameters       +++ (4.07E-03s)\n",
      "2021-03-15 08:50:23.353 - amici.ode_export - INFO - Finished writing x0_fixedParameters.cpp      ++ (9.17E-03s)\n",
      "2021-03-15 08:50:23.364 - amici.ode_export - INFO - Finished running smart_jacobian            ++++ (2.02E-04s)\n",
      "2021-03-15 08:50:23.369 - amici.ode_export - INFO - Finished simplifying sx0                   ++++ (8.59E-05s)\n",
      "2021-03-15 08:50:23.370 - amici.ode_export - INFO - Finished computing sx0                      +++ (9.57E-03s)\n",
      "2021-03-15 08:50:23.371 - amici.ode_export - INFO - Finished writing sx0.cpp                     ++ (1.38E-02s)\n",
      "2021-03-15 08:50:23.383 - amici.ode_export - INFO - Finished running smart_jacobian            ++++ (4.07E-05s)\n",
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      "2021-03-15 08:50:23.396 - amici.ode_export - INFO - Finished simplifying sx0_fixedParameters   ++++ (4.51E-05s)\n",
      "2021-03-15 08:50:23.397 - amici.ode_export - INFO - Finished computing sx0_fixedParameters      +++ (1.78E-02s)\n",
      "2021-03-15 08:50:23.398 - amici.ode_export - INFO - Finished writing sx0_fixedParameters.cpp     ++ (2.25E-02s)\n",
      "2021-03-15 08:50:23.407 - amici.ode_export - INFO - Finished writing xdot.cpp                    ++ (2.42E-03s)\n",
      "2021-03-15 08:50:23.412 - amici.ode_export - INFO - Finished writing y.cpp                       ++ (5.83E-04s)\n",
      "2021-03-15 08:50:23.425 - amici.ode_export - INFO - Finished simplifying x_rdata               ++++ (6.01E-05s)\n",
      "2021-03-15 08:50:23.425 - amici.ode_export - INFO - Finished computing x_rdata                  +++ (4.55E-03s)\n",
      "2021-03-15 08:50:23.427 - amici.ode_export - INFO - Finished writing x_rdata.cpp                 ++ (9.85E-03s)\n",
      "2021-03-15 08:50:23.442 - amici.ode_export - INFO - Finished simplifying total_cl              ++++ (3.69E-05s)\n",
      "2021-03-15 08:50:23.442 - amici.ode_export - INFO - Finished computing total_cl                 +++ (4.29E-03s)\n",
      "2021-03-15 08:50:23.443 - amici.ode_export - INFO - Finished writing total_cl.cpp                ++ (9.21E-03s)\n",
      "2021-03-15 08:50:23.459 - amici.ode_export - INFO - Finished simplifying x_solver              ++++ (7.44E-05s)\n",
      "2021-03-15 08:50:23.460 - amici.ode_export - INFO - Finished computing x_solver                 +++ (5.19E-03s)\n",
      "2021-03-15 08:50:23.462 - amici.ode_export - INFO - Finished writing x_solver.cpp                ++ (1.14E-02s)\n",
      "2021-03-15 08:50:23.472 - amici.ode_export - INFO - Finished generating cpp code                  + (6.78E-01s)\n",
      "2021-03-15 08:50:55.810 - amici.ode_export - INFO - Finished compiling cpp code                   + (3.23E+01s)\n",
      "2021-03-15 08:50:55.813 - amici.petab_import - INFO - Finished Importing PEtab model                (3.32E+01s)\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "running build_ext\n",
      "Changed extra_compile_args for unix to ['-fopenmp', '-std=c++14']\n",
      "building 'conversion_reaction_0._conversion_reaction_0' extension\n",
      "Testing SWIG executable swig4.0... FAILED.\n",
      "Testing SWIG executable swig3.0... SUCCEEDED.\n",
      "swigging swig/conversion_reaction_0.i to swig/conversion_reaction_0_wrap.cpp\n",
      "swig3.0 -python -c++ -modern -outdir conversion_reaction_0 -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/swig -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/include -o swig/conversion_reaction_0_wrap.cpp swig/conversion_reaction_0.i\n",
      "creating build\n",
      "creating build/temp.linux-x86_64-3.8\n",
      "creating build/temp.linux-x86_64-3.8/swig\n",
      "x86_64-linux-gnu-gcc -pthread -Wno-unused-result -Wsign-compare -DNDEBUG -g -fwrapv -O2 -Wall -g -fstack-protector-strong -Wformat -Werror=format-security -g -fwrapv -O2 -g -fstack-protector-strong -Wformat -Werror=format-security -Wdate-time -D_FORTIFY_SOURCE=2 -fPIC -I/home/elba/Downloads/pyPESTO/doc/example/amici_models/conversion_reaction_0 -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/include -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/ThirdParty/gsl -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/ThirdParty/sundials/include -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/ThirdParty/SuiteSparse/include -I/usr/include/hdf5/serial -I/usr/include/python3.8 -c swig/conversion_reaction_0_wrap.cpp -o build/temp.linux-x86_64-3.8/swig/conversion_reaction_0_wrap.o -fopenmp -std=c++14\n",
      "x86_64-linux-gnu-gcc -pthread -Wno-unused-result -Wsign-compare -DNDEBUG -g -fwrapv -O2 -Wall -g -fstack-protector-strong -Wformat -Werror=format-security -g -fwrapv -O2 -g -fstack-protector-strong -Wformat -Werror=format-security -Wdate-time -D_FORTIFY_SOURCE=2 -fPIC -I/home/elba/Downloads/pyPESTO/doc/example/amici_models/conversion_reaction_0 -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/include -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/ThirdParty/gsl -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/ThirdParty/sundials/include -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/ThirdParty/SuiteSparse/include -I/usr/include/hdf5/serial -I/usr/include/python3.8 -c conversion_reaction_0_Jy.cpp -o build/temp.linux-x86_64-3.8/conversion_reaction_0_Jy.o -fopenmp -std=c++14\n",
      "x86_64-linux-gnu-gcc -pthread -Wno-unused-result -Wsign-compare -DNDEBUG -g -fwrapv -O2 -Wall -g -fstack-protector-strong -Wformat -Werror=format-security -g -fwrapv -O2 -g -fstack-protector-strong -Wformat -Werror=format-security -Wdate-time -D_FORTIFY_SOURCE=2 -fPIC -I/home/elba/Downloads/pyPESTO/doc/example/amici_models/conversion_reaction_0 -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/include -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/ThirdParty/gsl -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/ThirdParty/sundials/include -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/ThirdParty/SuiteSparse/include -I/usr/include/hdf5/serial -I/usr/include/python3.8 -c conversion_reaction_0_deltasx.cpp -o build/temp.linux-x86_64-3.8/conversion_reaction_0_deltasx.o -fopenmp -std=c++14\n",
      "x86_64-linux-gnu-gcc -pthread -Wno-unused-result -Wsign-compare -DNDEBUG -g -fwrapv -O2 -Wall -g -fstack-protector-strong -Wformat -Werror=format-security -g -fwrapv -O2 -g -fstack-protector-strong -Wformat -Werror=format-security -Wdate-time -D_FORTIFY_SOURCE=2 -fPIC -I/home/elba/Downloads/pyPESTO/doc/example/amici_models/conversion_reaction_0 -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/include -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/ThirdParty/gsl -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/ThirdParty/sundials/include -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/ThirdParty/SuiteSparse/include -I/usr/include/hdf5/serial -I/usr/include/python3.8 -c conversion_reaction_0_dxdotdp_explicit_rowvals.cpp -o build/temp.linux-x86_64-3.8/conversion_reaction_0_dxdotdp_explicit_rowvals.o -fopenmp -std=c++14\n",
      "x86_64-linux-gnu-gcc -pthread -Wno-unused-result -Wsign-compare -DNDEBUG -g -fwrapv -O2 -Wall -g -fstack-protector-strong -Wformat -Werror=format-security -g -fwrapv -O2 -g -fstack-protector-strong -Wformat -Werror=format-security -Wdate-time -D_FORTIFY_SOURCE=2 -fPIC -I/home/elba/Downloads/pyPESTO/doc/example/amici_models/conversion_reaction_0 -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/include -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/ThirdParty/gsl -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/ThirdParty/sundials/include -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/ThirdParty/SuiteSparse/include -I/usr/include/hdf5/serial -I/usr/include/python3.8 -c conversion_reaction_0_dxdotdw.cpp -o build/temp.linux-x86_64-3.8/conversion_reaction_0_dxdotdw.o -fopenmp -std=c++14\n",
      "x86_64-linux-gnu-gcc -pthread -Wno-unused-result -Wsign-compare -DNDEBUG -g -fwrapv -O2 -Wall -g -fstack-protector-strong -Wformat -Werror=format-security -g -fwrapv -O2 -g -fstack-protector-strong -Wformat -Werror=format-security -Wdate-time -D_FORTIFY_SOURCE=2 -fPIC -I/home/elba/Downloads/pyPESTO/doc/example/amici_models/conversion_reaction_0 -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/include -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/ThirdParty/gsl -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/ThirdParty/sundials/include -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/ThirdParty/SuiteSparse/include -I/usr/include/hdf5/serial -I/usr/include/python3.8 -c conversion_reaction_0_dwdp_rowvals.cpp -o build/temp.linux-x86_64-3.8/conversion_reaction_0_dwdp_rowvals.o -fopenmp -std=c++14\n",
      "x86_64-linux-gnu-gcc -pthread -Wno-unused-result -Wsign-compare -DNDEBUG -g -fwrapv -O2 -Wall -g -fstack-protector-strong -Wformat -Werror=format-security -g -fwrapv -O2 -g -fstack-protector-strong -Wformat -Werror=format-security -Wdate-time -D_FORTIFY_SOURCE=2 -fPIC -I/home/elba/Downloads/pyPESTO/doc/example/amici_models/conversion_reaction_0 -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/include -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/ThirdParty/gsl -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/ThirdParty/sundials/include -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/ThirdParty/SuiteSparse/include -I/usr/include/hdf5/serial -I/usr/include/python3.8 -c conversion_reaction_0_w.cpp -o build/temp.linux-x86_64-3.8/conversion_reaction_0_w.o -fopenmp -std=c++14\n",
      "x86_64-linux-gnu-gcc -pthread -Wno-unused-result -Wsign-compare -DNDEBUG -g -fwrapv -O2 -Wall -g -fstack-protector-strong -Wformat -Werror=format-security -g -fwrapv -O2 -g -fstack-protector-strong -Wformat -Werror=format-security -Wdate-time -D_FORTIFY_SOURCE=2 -fPIC -I/home/elba/Downloads/pyPESTO/doc/example/amici_models/conversion_reaction_0 -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/include -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/ThirdParty/gsl -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/ThirdParty/sundials/include -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/ThirdParty/SuiteSparse/include -I/usr/include/hdf5/serial -I/usr/include/python3.8 -c conversion_reaction_0_dydx.cpp -o build/temp.linux-x86_64-3.8/conversion_reaction_0_dydx.o -fopenmp -std=c++14\n",
      "x86_64-linux-gnu-gcc -pthread -Wno-unused-result -Wsign-compare -DNDEBUG -g -fwrapv -O2 -Wall -g -fstack-protector-strong -Wformat -Werror=format-security -g -fwrapv -O2 -g -fstack-protector-strong -Wformat -Werror=format-security -Wdate-time -D_FORTIFY_SOURCE=2 -fPIC -I/home/elba/Downloads/pyPESTO/doc/example/amici_models/conversion_reaction_0 -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/include -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/ThirdParty/gsl -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/ThirdParty/sundials/include -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/ThirdParty/SuiteSparse/include -I/usr/include/hdf5/serial -I/usr/include/python3.8 -c conversion_reaction_0_stau.cpp -o build/temp.linux-x86_64-3.8/conversion_reaction_0_stau.o -fopenmp -std=c++14\n",
      "x86_64-linux-gnu-gcc -pthread -Wno-unused-result -Wsign-compare -DNDEBUG -g -fwrapv -O2 -Wall -g -fstack-protector-strong -Wformat -Werror=format-security -g -fwrapv -O2 -g -fstack-protector-strong -Wformat -Werror=format-security -Wdate-time -D_FORTIFY_SOURCE=2 -fPIC -I/home/elba/Downloads/pyPESTO/doc/example/amici_models/conversion_reaction_0 -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/include -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/ThirdParty/gsl -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/ThirdParty/sundials/include -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/ThirdParty/SuiteSparse/include -I/usr/include/hdf5/serial -I/usr/include/python3.8 -c conversion_reaction_0_x0.cpp -o build/temp.linux-x86_64-3.8/conversion_reaction_0_x0.o -fopenmp -std=c++14\n",
      "x86_64-linux-gnu-gcc -pthread -Wno-unused-result -Wsign-compare -DNDEBUG -g -fwrapv -O2 -Wall -g -fstack-protector-strong -Wformat -Werror=format-security -g -fwrapv -O2 -g -fstack-protector-strong -Wformat -Werror=format-security -Wdate-time -D_FORTIFY_SOURCE=2 -fPIC -I/home/elba/Downloads/pyPESTO/doc/example/amici_models/conversion_reaction_0 -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/include -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/ThirdParty/gsl -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/ThirdParty/sundials/include -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/ThirdParty/SuiteSparse/include -I/usr/include/hdf5/serial -I/usr/include/python3.8 -c conversion_reaction_0_total_cl.cpp -o build/temp.linux-x86_64-3.8/conversion_reaction_0_total_cl.o -fopenmp -std=c++14\n",
      "x86_64-linux-gnu-gcc -pthread -Wno-unused-result -Wsign-compare -DNDEBUG -g -fwrapv -O2 -Wall -g -fstack-protector-strong -Wformat -Werror=format-security -g -fwrapv -O2 -g -fstack-protector-strong -Wformat -Werror=format-security -Wdate-time -D_FORTIFY_SOURCE=2 -fPIC -I/home/elba/Downloads/pyPESTO/doc/example/amici_models/conversion_reaction_0 -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/include -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/ThirdParty/gsl -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/ThirdParty/sundials/include -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/ThirdParty/SuiteSparse/include -I/usr/include/hdf5/serial -I/usr/include/python3.8 -c conversion_reaction_0_dwdw_colptrs.cpp -o build/temp.linux-x86_64-3.8/conversion_reaction_0_dwdw_colptrs.o -fopenmp -std=c++14\n",
      "x86_64-linux-gnu-gcc -pthread -Wno-unused-result -Wsign-compare -DNDEBUG -g -fwrapv -O2 -Wall -g -fstack-protector-strong -Wformat -Werror=format-security -g -fwrapv -O2 -g -fstack-protector-strong -Wformat -Werror=format-security -Wdate-time -D_FORTIFY_SOURCE=2 -fPIC -I/home/elba/Downloads/pyPESTO/doc/example/amici_models/conversion_reaction_0 -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/include -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/ThirdParty/gsl -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/ThirdParty/sundials/include -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/ThirdParty/SuiteSparse/include -I/usr/include/hdf5/serial -I/usr/include/python3.8 -c conversion_reaction_0_dJydsigmay.cpp -o build/temp.linux-x86_64-3.8/conversion_reaction_0_dJydsigmay.o -fopenmp -std=c++14\n",
      "x86_64-linux-gnu-gcc -pthread -Wno-unused-result -Wsign-compare -DNDEBUG -g -fwrapv -O2 -Wall -g -fstack-protector-strong -Wformat -Werror=format-security -g -fwrapv -O2 -g -fstack-protector-strong -Wformat -Werror=format-security -Wdate-time -D_FORTIFY_SOURCE=2 -fPIC -I/home/elba/Downloads/pyPESTO/doc/example/amici_models/conversion_reaction_0 -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/include -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/ThirdParty/gsl -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/ThirdParty/sundials/include -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/ThirdParty/SuiteSparse/include -I/usr/include/hdf5/serial -I/usr/include/python3.8 -c conversion_reaction_0_dxdotdx_explicit.cpp -o build/temp.linux-x86_64-3.8/conversion_reaction_0_dxdotdx_explicit.o -fopenmp -std=c++14\n",
      "x86_64-linux-gnu-gcc -pthread -Wno-unused-result -Wsign-compare -DNDEBUG -g -fwrapv -O2 -Wall -g -fstack-protector-strong -Wformat -Werror=format-security -g -fwrapv -O2 -g -fstack-protector-strong -Wformat -Werror=format-security -Wdate-time -D_FORTIFY_SOURCE=2 -fPIC -I/home/elba/Downloads/pyPESTO/doc/example/amici_models/conversion_reaction_0 -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/include -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/ThirdParty/gsl -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/ThirdParty/sundials/include -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/ThirdParty/SuiteSparse/include -I/usr/include/hdf5/serial -I/usr/include/python3.8 -c conversion_reaction_0_dydp.cpp -o build/temp.linux-x86_64-3.8/conversion_reaction_0_dydp.o -fopenmp -std=c++14\n",
      "x86_64-linux-gnu-gcc -pthread -Wno-unused-result -Wsign-compare -DNDEBUG -g -fwrapv -O2 -Wall -g -fstack-protector-strong -Wformat -Werror=format-security -g -fwrapv -O2 -g -fstack-protector-strong -Wformat -Werror=format-security -Wdate-time -D_FORTIFY_SOURCE=2 -fPIC -I/home/elba/Downloads/pyPESTO/doc/example/amici_models/conversion_reaction_0 -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/include -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/ThirdParty/gsl -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/ThirdParty/sundials/include -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/ThirdParty/SuiteSparse/include -I/usr/include/hdf5/serial -I/usr/include/python3.8 -c conversion_reaction_0_sigmay.cpp -o build/temp.linux-x86_64-3.8/conversion_reaction_0_sigmay.o -fopenmp -std=c++14\n",
      "x86_64-linux-gnu-gcc -pthread -Wno-unused-result -Wsign-compare -DNDEBUG -g -fwrapv -O2 -Wall -g -fstack-protector-strong -Wformat -Werror=format-security -g -fwrapv -O2 -g -fstack-protector-strong -Wformat -Werror=format-security -Wdate-time -D_FORTIFY_SOURCE=2 -fPIC -I/home/elba/Downloads/pyPESTO/doc/example/amici_models/conversion_reaction_0 -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/include -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/ThirdParty/gsl -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/ThirdParty/sundials/include -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/ThirdParty/SuiteSparse/include -I/usr/include/hdf5/serial -I/usr/include/python3.8 -c conversion_reaction_0.cpp -o build/temp.linux-x86_64-3.8/conversion_reaction_0.o -fopenmp -std=c++14\n",
      "x86_64-linux-gnu-gcc -pthread -Wno-unused-result -Wsign-compare -DNDEBUG -g -fwrapv -O2 -Wall -g -fstack-protector-strong -Wformat -Werror=format-security -g -fwrapv -O2 -g -fstack-protector-strong -Wformat -Werror=format-security -Wdate-time -D_FORTIFY_SOURCE=2 -fPIC -I/home/elba/Downloads/pyPESTO/doc/example/amici_models/conversion_reaction_0 -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/include -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/ThirdParty/gsl -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/ThirdParty/sundials/include -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/ThirdParty/SuiteSparse/include -I/usr/include/hdf5/serial -I/usr/include/python3.8 -c conversion_reaction_0_dJydy_colptrs.cpp -o build/temp.linux-x86_64-3.8/conversion_reaction_0_dJydy_colptrs.o -fopenmp -std=c++14\n",
      "x86_64-linux-gnu-gcc -pthread -Wno-unused-result -Wsign-compare -DNDEBUG -g -fwrapv -O2 -Wall -g -fstack-protector-strong -Wformat -Werror=format-security -g -fwrapv -O2 -g -fstack-protector-strong -Wformat -Werror=format-security -Wdate-time -D_FORTIFY_SOURCE=2 -fPIC -I/home/elba/Downloads/pyPESTO/doc/example/amici_models/conversion_reaction_0 -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/include -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/ThirdParty/gsl -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/ThirdParty/sundials/include -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/ThirdParty/SuiteSparse/include -I/usr/include/hdf5/serial -I/usr/include/python3.8 -c conversion_reaction_0_dxdotdx_explicit_colptrs.cpp -o build/temp.linux-x86_64-3.8/conversion_reaction_0_dxdotdx_explicit_colptrs.o -fopenmp -std=c++14\n",
      "x86_64-linux-gnu-gcc -pthread -Wno-unused-result -Wsign-compare -DNDEBUG -g -fwrapv -O2 -Wall -g -fstack-protector-strong -Wformat -Werror=format-security -g -fwrapv -O2 -g -fstack-protector-strong -Wformat -Werror=format-security -Wdate-time -D_FORTIFY_SOURCE=2 -fPIC -I/home/elba/Downloads/pyPESTO/doc/example/amici_models/conversion_reaction_0 -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/include -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/ThirdParty/gsl -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/ThirdParty/sundials/include -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/ThirdParty/SuiteSparse/include -I/usr/include/hdf5/serial -I/usr/include/python3.8 -c conversion_reaction_0_xdot.cpp -o build/temp.linux-x86_64-3.8/conversion_reaction_0_xdot.o -fopenmp -std=c++14\n",
      "x86_64-linux-gnu-gcc -pthread -Wno-unused-result -Wsign-compare -DNDEBUG -g -fwrapv -O2 -Wall -g -fstack-protector-strong -Wformat -Werror=format-security -g -fwrapv -O2 -g -fstack-protector-strong -Wformat -Werror=format-security -Wdate-time -D_FORTIFY_SOURCE=2 -fPIC -I/home/elba/Downloads/pyPESTO/doc/example/amici_models/conversion_reaction_0 -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/include -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/ThirdParty/gsl -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/ThirdParty/sundials/include -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/ThirdParty/SuiteSparse/include -I/usr/include/hdf5/serial -I/usr/include/python3.8 -c conversion_reaction_0_dwdx.cpp -o build/temp.linux-x86_64-3.8/conversion_reaction_0_dwdx.o -fopenmp -std=c++14\n",
      "x86_64-linux-gnu-gcc -pthread -Wno-unused-result -Wsign-compare -DNDEBUG -g -fwrapv -O2 -Wall -g -fstack-protector-strong -Wformat -Werror=format-security -g -fwrapv -O2 -g -fstack-protector-strong -Wformat -Werror=format-security -Wdate-time -D_FORTIFY_SOURCE=2 -fPIC -I/home/elba/Downloads/pyPESTO/doc/example/amici_models/conversion_reaction_0 -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/include -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/ThirdParty/gsl -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/ThirdParty/sundials/include -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/ThirdParty/SuiteSparse/include -I/usr/include/hdf5/serial -I/usr/include/python3.8 -c conversion_reaction_0_dwdp.cpp -o build/temp.linux-x86_64-3.8/conversion_reaction_0_dwdp.o -fopenmp -std=c++14\n",
      "x86_64-linux-gnu-gcc -pthread -Wno-unused-result -Wsign-compare -DNDEBUG -g -fwrapv -O2 -Wall -g -fstack-protector-strong -Wformat -Werror=format-security -g -fwrapv -O2 -g -fstack-protector-strong -Wformat -Werror=format-security -Wdate-time -D_FORTIFY_SOURCE=2 -fPIC -I/home/elba/Downloads/pyPESTO/doc/example/amici_models/conversion_reaction_0 -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/include -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/ThirdParty/gsl -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/ThirdParty/sundials/include -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/ThirdParty/SuiteSparse/include -I/usr/include/hdf5/serial -I/usr/include/python3.8 -c conversion_reaction_0_dwdw.cpp -o build/temp.linux-x86_64-3.8/conversion_reaction_0_dwdw.o -fopenmp -std=c++14\n",
      "x86_64-linux-gnu-gcc -pthread -Wno-unused-result -Wsign-compare -DNDEBUG -g -fwrapv -O2 -Wall -g -fstack-protector-strong -Wformat -Werror=format-security -g -fwrapv -O2 -g -fstack-protector-strong -Wformat -Werror=format-security -Wdate-time -D_FORTIFY_SOURCE=2 -fPIC -I/home/elba/Downloads/pyPESTO/doc/example/amici_models/conversion_reaction_0 -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/include -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/ThirdParty/gsl -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/ThirdParty/sundials/include -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/ThirdParty/SuiteSparse/include -I/usr/include/hdf5/serial -I/usr/include/python3.8 -c conversion_reaction_0_y.cpp -o build/temp.linux-x86_64-3.8/conversion_reaction_0_y.o -fopenmp -std=c++14\n",
      "x86_64-linux-gnu-gcc -pthread -Wno-unused-result -Wsign-compare -DNDEBUG -g -fwrapv -O2 -Wall -g -fstack-protector-strong -Wformat -Werror=format-security -g -fwrapv -O2 -g -fstack-protector-strong -Wformat -Werror=format-security -Wdate-time -D_FORTIFY_SOURCE=2 -fPIC -I/home/elba/Downloads/pyPESTO/doc/example/amici_models/conversion_reaction_0 -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/include -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/ThirdParty/gsl -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/ThirdParty/sundials/include -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/ThirdParty/SuiteSparse/include -I/usr/include/hdf5/serial -I/usr/include/python3.8 -c conversion_reaction_0_x_solver.cpp -o build/temp.linux-x86_64-3.8/conversion_reaction_0_x_solver.o -fopenmp -std=c++14\n",
      "x86_64-linux-gnu-gcc -pthread -Wno-unused-result -Wsign-compare -DNDEBUG -g -fwrapv -O2 -Wall -g -fstack-protector-strong -Wformat -Werror=format-security -g -fwrapv -O2 -g -fstack-protector-strong -Wformat -Werror=format-security -Wdate-time -D_FORTIFY_SOURCE=2 -fPIC -I/home/elba/Downloads/pyPESTO/doc/example/amici_models/conversion_reaction_0 -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/include -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/ThirdParty/gsl -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/ThirdParty/sundials/include -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/ThirdParty/SuiteSparse/include -I/usr/include/hdf5/serial -I/usr/include/python3.8 -c conversion_reaction_0_dJydy_rowvals.cpp -o build/temp.linux-x86_64-3.8/conversion_reaction_0_dJydy_rowvals.o -fopenmp -std=c++14\n",
      "x86_64-linux-gnu-gcc -pthread -Wno-unused-result -Wsign-compare -DNDEBUG -g -fwrapv -O2 -Wall -g -fstack-protector-strong -Wformat -Werror=format-security -g -fwrapv -O2 -g -fstack-protector-strong -Wformat -Werror=format-security -Wdate-time -D_FORTIFY_SOURCE=2 -fPIC -I/home/elba/Downloads/pyPESTO/doc/example/amici_models/conversion_reaction_0 -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/include -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/ThirdParty/gsl -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/ThirdParty/sundials/include -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/ThirdParty/SuiteSparse/include -I/usr/include/hdf5/serial -I/usr/include/python3.8 -c conversion_reaction_0_sx0.cpp -o build/temp.linux-x86_64-3.8/conversion_reaction_0_sx0.o -fopenmp -std=c++14\n",
      "x86_64-linux-gnu-gcc -pthread -Wno-unused-result -Wsign-compare -DNDEBUG -g -fwrapv -O2 -Wall -g -fstack-protector-strong -Wformat -Werror=format-security -g -fwrapv -O2 -g -fstack-protector-strong -Wformat -Werror=format-security -Wdate-time -D_FORTIFY_SOURCE=2 -fPIC -I/home/elba/Downloads/pyPESTO/doc/example/amici_models/conversion_reaction_0 -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/include -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/ThirdParty/gsl -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/ThirdParty/sundials/include -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/ThirdParty/SuiteSparse/include -I/usr/include/hdf5/serial -I/usr/include/python3.8 -c conversion_reaction_0_dsigmaydp.cpp -o build/temp.linux-x86_64-3.8/conversion_reaction_0_dsigmaydp.o -fopenmp -std=c++14\n",
      "x86_64-linux-gnu-gcc -pthread -Wno-unused-result -Wsign-compare -DNDEBUG -g -fwrapv -O2 -Wall -g -fstack-protector-strong -Wformat -Werror=format-security -g -fwrapv -O2 -g -fstack-protector-strong -Wformat -Werror=format-security -Wdate-time -D_FORTIFY_SOURCE=2 -fPIC -I/home/elba/Downloads/pyPESTO/doc/example/amici_models/conversion_reaction_0 -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/include -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/ThirdParty/gsl -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/ThirdParty/sundials/include -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/ThirdParty/SuiteSparse/include -I/usr/include/hdf5/serial -I/usr/include/python3.8 -c wrapfunctions.cpp -o build/temp.linux-x86_64-3.8/wrapfunctions.o -fopenmp -std=c++14\n",
      "x86_64-linux-gnu-gcc -pthread -Wno-unused-result -Wsign-compare -DNDEBUG -g -fwrapv -O2 -Wall -g -fstack-protector-strong -Wformat -Werror=format-security -g -fwrapv -O2 -g -fstack-protector-strong -Wformat -Werror=format-security -Wdate-time -D_FORTIFY_SOURCE=2 -fPIC -I/home/elba/Downloads/pyPESTO/doc/example/amici_models/conversion_reaction_0 -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/include -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/ThirdParty/gsl -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/ThirdParty/sundials/include -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/ThirdParty/SuiteSparse/include -I/usr/include/hdf5/serial -I/usr/include/python3.8 -c conversion_reaction_0_dxdotdx_explicit_rowvals.cpp -o build/temp.linux-x86_64-3.8/conversion_reaction_0_dxdotdx_explicit_rowvals.o -fopenmp -std=c++14\n",
      "x86_64-linux-gnu-gcc -pthread -Wno-unused-result -Wsign-compare -DNDEBUG -g -fwrapv -O2 -Wall -g -fstack-protector-strong -Wformat -Werror=format-security -g -fwrapv -O2 -g -fstack-protector-strong -Wformat -Werror=format-security -Wdate-time -D_FORTIFY_SOURCE=2 -fPIC -I/home/elba/Downloads/pyPESTO/doc/example/amici_models/conversion_reaction_0 -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/include -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/ThirdParty/gsl -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/ThirdParty/sundials/include -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/ThirdParty/SuiteSparse/include -I/usr/include/hdf5/serial -I/usr/include/python3.8 -c conversion_reaction_0_dxdotdw_colptrs.cpp -o build/temp.linux-x86_64-3.8/conversion_reaction_0_dxdotdw_colptrs.o -fopenmp -std=c++14\n",
      "x86_64-linux-gnu-gcc -pthread -Wno-unused-result -Wsign-compare -DNDEBUG -g -fwrapv -O2 -Wall -g -fstack-protector-strong -Wformat -Werror=format-security -g -fwrapv -O2 -g -fstack-protector-strong -Wformat -Werror=format-security -Wdate-time -D_FORTIFY_SOURCE=2 -fPIC -I/home/elba/Downloads/pyPESTO/doc/example/amici_models/conversion_reaction_0 -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/include -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/ThirdParty/gsl -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/ThirdParty/sundials/include -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/ThirdParty/SuiteSparse/include -I/usr/include/hdf5/serial -I/usr/include/python3.8 -c conversion_reaction_0_x_rdata.cpp -o build/temp.linux-x86_64-3.8/conversion_reaction_0_x_rdata.o -fopenmp -std=c++14\n",
      "x86_64-linux-gnu-gcc -pthread -Wno-unused-result -Wsign-compare -DNDEBUG -g -fwrapv -O2 -Wall -g -fstack-protector-strong -Wformat -Werror=format-security -g -fwrapv -O2 -g -fstack-protector-strong -Wformat -Werror=format-security -Wdate-time -D_FORTIFY_SOURCE=2 -fPIC -I/home/elba/Downloads/pyPESTO/doc/example/amici_models/conversion_reaction_0 -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/include -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/ThirdParty/gsl -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/ThirdParty/sundials/include -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/ThirdParty/SuiteSparse/include -I/usr/include/hdf5/serial -I/usr/include/python3.8 -c conversion_reaction_0_dxdotdp_explicit.cpp -o build/temp.linux-x86_64-3.8/conversion_reaction_0_dxdotdp_explicit.o -fopenmp -std=c++14\n",
      "x86_64-linux-gnu-gcc -pthread -Wno-unused-result -Wsign-compare -DNDEBUG -g -fwrapv -O2 -Wall -g -fstack-protector-strong -Wformat -Werror=format-security -g -fwrapv -O2 -g -fstack-protector-strong -Wformat -Werror=format-security -Wdate-time -D_FORTIFY_SOURCE=2 -fPIC -I/home/elba/Downloads/pyPESTO/doc/example/amici_models/conversion_reaction_0 -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/include -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/ThirdParty/gsl -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/ThirdParty/sundials/include -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/ThirdParty/SuiteSparse/include -I/usr/include/hdf5/serial -I/usr/include/python3.8 -c conversion_reaction_0_sx0_fixedParameters.cpp -o build/temp.linux-x86_64-3.8/conversion_reaction_0_sx0_fixedParameters.o -fopenmp -std=c++14\n",
      "x86_64-linux-gnu-gcc -pthread -Wno-unused-result -Wsign-compare -DNDEBUG -g -fwrapv -O2 -Wall -g -fstack-protector-strong -Wformat -Werror=format-security -g -fwrapv -O2 -g -fstack-protector-strong -Wformat -Werror=format-security -Wdate-time -D_FORTIFY_SOURCE=2 -fPIC -I/home/elba/Downloads/pyPESTO/doc/example/amici_models/conversion_reaction_0 -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/include -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/ThirdParty/gsl -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/ThirdParty/sundials/include -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/ThirdParty/SuiteSparse/include -I/usr/include/hdf5/serial -I/usr/include/python3.8 -c conversion_reaction_0_dxdotdp_explicit_colptrs.cpp -o build/temp.linux-x86_64-3.8/conversion_reaction_0_dxdotdp_explicit_colptrs.o -fopenmp -std=c++14\n",
      "x86_64-linux-gnu-gcc -pthread -Wno-unused-result -Wsign-compare -DNDEBUG -g -fwrapv -O2 -Wall -g -fstack-protector-strong -Wformat -Werror=format-security -g -fwrapv -O2 -g -fstack-protector-strong -Wformat -Werror=format-security -Wdate-time -D_FORTIFY_SOURCE=2 -fPIC -I/home/elba/Downloads/pyPESTO/doc/example/amici_models/conversion_reaction_0 -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/include -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/ThirdParty/gsl -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/ThirdParty/sundials/include -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/ThirdParty/SuiteSparse/include -I/usr/include/hdf5/serial -I/usr/include/python3.8 -c conversion_reaction_0_dwdx_colptrs.cpp -o build/temp.linux-x86_64-3.8/conversion_reaction_0_dwdx_colptrs.o -fopenmp -std=c++14\n",
      "x86_64-linux-gnu-gcc -pthread -Wno-unused-result -Wsign-compare -DNDEBUG -g -fwrapv -O2 -Wall -g -fstack-protector-strong -Wformat -Werror=format-security -g -fwrapv -O2 -g -fstack-protector-strong -Wformat -Werror=format-security -Wdate-time -D_FORTIFY_SOURCE=2 -fPIC -I/home/elba/Downloads/pyPESTO/doc/example/amici_models/conversion_reaction_0 -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/include -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/ThirdParty/gsl -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/ThirdParty/sundials/include -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/ThirdParty/SuiteSparse/include -I/usr/include/hdf5/serial -I/usr/include/python3.8 -c conversion_reaction_0_dwdp_colptrs.cpp -o build/temp.linux-x86_64-3.8/conversion_reaction_0_dwdp_colptrs.o -fopenmp -std=c++14\n",
      "x86_64-linux-gnu-gcc -pthread -Wno-unused-result -Wsign-compare -DNDEBUG -g -fwrapv -O2 -Wall -g -fstack-protector-strong -Wformat -Werror=format-security -g -fwrapv -O2 -g -fstack-protector-strong -Wformat -Werror=format-security -Wdate-time -D_FORTIFY_SOURCE=2 -fPIC -I/home/elba/Downloads/pyPESTO/doc/example/amici_models/conversion_reaction_0 -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/include -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/ThirdParty/gsl -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/ThirdParty/sundials/include -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/ThirdParty/SuiteSparse/include -I/usr/include/hdf5/serial -I/usr/include/python3.8 -c conversion_reaction_0_x0_fixedParameters.cpp -o build/temp.linux-x86_64-3.8/conversion_reaction_0_x0_fixedParameters.o -fopenmp -std=c++14\n",
      "x86_64-linux-gnu-gcc -pthread -Wno-unused-result -Wsign-compare -DNDEBUG -g -fwrapv -O2 -Wall -g -fstack-protector-strong -Wformat -Werror=format-security -g -fwrapv -O2 -g -fstack-protector-strong -Wformat -Werror=format-security -Wdate-time -D_FORTIFY_SOURCE=2 -fPIC -I/home/elba/Downloads/pyPESTO/doc/example/amici_models/conversion_reaction_0 -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/include -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/ThirdParty/gsl -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/ThirdParty/sundials/include -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/ThirdParty/SuiteSparse/include -I/usr/include/hdf5/serial -I/usr/include/python3.8 -c conversion_reaction_0_dxdotdw_rowvals.cpp -o build/temp.linux-x86_64-3.8/conversion_reaction_0_dxdotdw_rowvals.o -fopenmp -std=c++14\n",
      "x86_64-linux-gnu-gcc -pthread -Wno-unused-result -Wsign-compare -DNDEBUG -g -fwrapv -O2 -Wall -g -fstack-protector-strong -Wformat -Werror=format-security -g -fwrapv -O2 -g -fstack-protector-strong -Wformat -Werror=format-security -Wdate-time -D_FORTIFY_SOURCE=2 -fPIC -I/home/elba/Downloads/pyPESTO/doc/example/amici_models/conversion_reaction_0 -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/include -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/ThirdParty/gsl -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/ThirdParty/sundials/include -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/ThirdParty/SuiteSparse/include -I/usr/include/hdf5/serial -I/usr/include/python3.8 -c conversion_reaction_0_dJydy.cpp -o build/temp.linux-x86_64-3.8/conversion_reaction_0_dJydy.o -fopenmp -std=c++14\n",
      "x86_64-linux-gnu-gcc -pthread -Wno-unused-result -Wsign-compare -DNDEBUG -g -fwrapv -O2 -Wall -g -fstack-protector-strong -Wformat -Werror=format-security -g -fwrapv -O2 -g -fstack-protector-strong -Wformat -Werror=format-security -Wdate-time -D_FORTIFY_SOURCE=2 -fPIC -I/home/elba/Downloads/pyPESTO/doc/example/amici_models/conversion_reaction_0 -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/include -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/ThirdParty/gsl -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/ThirdParty/sundials/include -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/ThirdParty/SuiteSparse/include -I/usr/include/hdf5/serial -I/usr/include/python3.8 -c conversion_reaction_0_dwdx_rowvals.cpp -o build/temp.linux-x86_64-3.8/conversion_reaction_0_dwdx_rowvals.o -fopenmp -std=c++14\n",
      "x86_64-linux-gnu-gcc -pthread -Wno-unused-result -Wsign-compare -DNDEBUG -g -fwrapv -O2 -Wall -g -fstack-protector-strong -Wformat -Werror=format-security -g -fwrapv -O2 -g -fstack-protector-strong -Wformat -Werror=format-security -Wdate-time -D_FORTIFY_SOURCE=2 -fPIC -I/home/elba/Downloads/pyPESTO/doc/example/amici_models/conversion_reaction_0 -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/include -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/ThirdParty/gsl -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/ThirdParty/sundials/include -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/ThirdParty/SuiteSparse/include -I/usr/include/hdf5/serial -I/usr/include/python3.8 -c conversion_reaction_0_root.cpp -o build/temp.linux-x86_64-3.8/conversion_reaction_0_root.o -fopenmp -std=c++14\n",
      "x86_64-linux-gnu-gcc -pthread -Wno-unused-result -Wsign-compare -DNDEBUG -g -fwrapv -O2 -Wall -g -fstack-protector-strong -Wformat -Werror=format-security -g -fwrapv -O2 -g -fstack-protector-strong -Wformat -Werror=format-security -Wdate-time -D_FORTIFY_SOURCE=2 -fPIC -I/home/elba/Downloads/pyPESTO/doc/example/amici_models/conversion_reaction_0 -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/include -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/ThirdParty/gsl -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/ThirdParty/sundials/include -I/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/ThirdParty/SuiteSparse/include -I/usr/include/hdf5/serial -I/usr/include/python3.8 -c conversion_reaction_0_dwdw_rowvals.cpp -o build/temp.linux-x86_64-3.8/conversion_reaction_0_dwdw_rowvals.o -fopenmp -std=c++14\n",
      "x86_64-linux-gnu-g++ -pthread -shared -Wl,-O1 -Wl,-Bsymbolic-functions -Wl,-Bsymbolic-functions -Wl,-z,relro -g -fwrapv -O2 -Wl,-Bsymbolic-functions -Wl,-z,relro -g -fwrapv -O2 -g -fstack-protector-strong -Wformat -Werror=format-security -Wdate-time -D_FORTIFY_SOURCE=2 build/temp.linux-x86_64-3.8/swig/conversion_reaction_0_wrap.o build/temp.linux-x86_64-3.8/conversion_reaction_0_Jy.o build/temp.linux-x86_64-3.8/conversion_reaction_0_deltasx.o build/temp.linux-x86_64-3.8/conversion_reaction_0_dxdotdp_explicit_rowvals.o build/temp.linux-x86_64-3.8/conversion_reaction_0_dxdotdw.o build/temp.linux-x86_64-3.8/conversion_reaction_0_dwdp_rowvals.o build/temp.linux-x86_64-3.8/conversion_reaction_0_w.o build/temp.linux-x86_64-3.8/conversion_reaction_0_dydx.o build/temp.linux-x86_64-3.8/conversion_reaction_0_stau.o build/temp.linux-x86_64-3.8/conversion_reaction_0_x0.o build/temp.linux-x86_64-3.8/conversion_reaction_0_total_cl.o build/temp.linux-x86_64-3.8/conversion_reaction_0_dwdw_colptrs.o build/temp.linux-x86_64-3.8/conversion_reaction_0_dJydsigmay.o build/temp.linux-x86_64-3.8/conversion_reaction_0_dxdotdx_explicit.o build/temp.linux-x86_64-3.8/conversion_reaction_0_dydp.o build/temp.linux-x86_64-3.8/conversion_reaction_0_sigmay.o build/temp.linux-x86_64-3.8/conversion_reaction_0.o build/temp.linux-x86_64-3.8/conversion_reaction_0_dJydy_colptrs.o build/temp.linux-x86_64-3.8/conversion_reaction_0_dxdotdx_explicit_colptrs.o build/temp.linux-x86_64-3.8/conversion_reaction_0_xdot.o build/temp.linux-x86_64-3.8/conversion_reaction_0_dwdx.o build/temp.linux-x86_64-3.8/conversion_reaction_0_dwdp.o build/temp.linux-x86_64-3.8/conversion_reaction_0_dwdw.o build/temp.linux-x86_64-3.8/conversion_reaction_0_y.o build/temp.linux-x86_64-3.8/conversion_reaction_0_x_solver.o build/temp.linux-x86_64-3.8/conversion_reaction_0_dJydy_rowvals.o build/temp.linux-x86_64-3.8/conversion_reaction_0_sx0.o build/temp.linux-x86_64-3.8/conversion_reaction_0_dsigmaydp.o build/temp.linux-x86_64-3.8/wrapfunctions.o build/temp.linux-x86_64-3.8/conversion_reaction_0_dxdotdx_explicit_rowvals.o build/temp.linux-x86_64-3.8/conversion_reaction_0_dxdotdw_colptrs.o build/temp.linux-x86_64-3.8/conversion_reaction_0_x_rdata.o build/temp.linux-x86_64-3.8/conversion_reaction_0_dxdotdp_explicit.o build/temp.linux-x86_64-3.8/conversion_reaction_0_sx0_fixedParameters.o build/temp.linux-x86_64-3.8/conversion_reaction_0_dxdotdp_explicit_colptrs.o build/temp.linux-x86_64-3.8/conversion_reaction_0_dwdx_colptrs.o build/temp.linux-x86_64-3.8/conversion_reaction_0_dwdp_colptrs.o build/temp.linux-x86_64-3.8/conversion_reaction_0_x0_fixedParameters.o build/temp.linux-x86_64-3.8/conversion_reaction_0_dxdotdw_rowvals.o build/temp.linux-x86_64-3.8/conversion_reaction_0_dJydy.o build/temp.linux-x86_64-3.8/conversion_reaction_0_dwdx_rowvals.o build/temp.linux-x86_64-3.8/conversion_reaction_0_root.o build/temp.linux-x86_64-3.8/conversion_reaction_0_dwdw_rowvals.o -L/usr/lib/x86_64-linux-gnu/hdf5/serial -L/usr/local/lib/python3.8/dist-packages/amici-0.11.13-py3.8-linux-x86_64.egg/amici/libs -lamici -lsundials -lsuitesparse -lcblas -lhdf5_hl_cpp -lhdf5_hl -lhdf5_cpp -lhdf5 -o /home/elba/Downloads/pyPESTO/doc/example/amici_models/conversion_reaction_0/conversion_reaction_0/_conversion_reaction_0.cpython-38-x86_64-linux-gnu.so -fopenmp\n",
      "\n"
     ]
    }
   ],
   "source": [
    "import pypesto\n",
    "import pypesto.petab\n",
    "import pypesto.optimize as optimize\n",
    "import pypesto.sample as sample\n",
    "import pypesto.visualize as visualize\n",
    "import petab\n",
    "\n",
    "# import to petab\n",
    "petab_problem = petab.Problem.from_yaml(\n",
    "    \"conversion_reaction/conversion_reaction.yaml\")\n",
    "# import to pypesto\n",
    "importer = pypesto.petab.PetabImporter(petab_problem)\n",
    "# create problem\n",
    "problem = importer.create_problem()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Commonly, as a first step, optimization is performed, in order to find good parameter point estimates."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Parameters obtained from history and optimizer do not match: [ -0.91617976 -10.39367452], [ -0.9161923  -10.39367204]\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 2.21 s, sys: 406 ms, total: 2.62 s\n",
      "Wall time: 2.06 s\n"
     ]
    }
   ],
   "source": [
    "%%time\n",
    "result = optimize.minimize(problem, n_starts=10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "ax = visualize.waterfall(result, size=(4,4))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Next, we perform sampling. Here, we employ a `pypesto.sample.AdaptiveParallelTemperingSampler` sampler, which runs Markov Chain Monte Carlo (MCMC) chains on different temperatures. For each chain, we employ a `pypesto.sample.AdaptiveMetropolisSampler`. For more on the samplers see below or the API documentation."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "sampler = sample.AdaptiveParallelTemperingSampler(\n",
    "    internal_sampler=sample.AdaptiveMetropolisSampler(),\n",
    "    n_chains=3)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "For the actual sampling, we call the `pypesto.sample.sample` function. By passing the result object to the function, the previously found global optimum is used as starting point for the MCMC sampling."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 10000/10000 [00:55<00:00, 179.06it/s]\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 1min, sys: 9.35 s, total: 1min 9s\n",
      "Wall time: 55.9 s\n"
     ]
    }
   ],
   "source": [
    "%%time\n",
    "result = sample.sample(problem, n_samples=10000, sampler=sampler, result=result)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "When the sampling is finished, we can analyse our results. A first thing to do is to analyze the sampling burn-in:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sample.geweke_test(result)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "pyPESTO provides functions to analyse both the sampling process as well as the obtained sampling result. Visualizing the traces e.g. allows to detect burn-in phases, or fine-tune hyperparameters. First, the parameter trajectories  can be visualized:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sample.geweke_test(result)\n",
    "ax = visualize.sampling_parameter_traces(result, use_problem_bounds=False)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Next, also the log posterior trace can be visualized:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ax = visualize.sampling_fval_traces(result)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To visualize the result, there are various options. The scatter plot shows histograms of 1-dim parameter marginals and scatter plots of 2-dimensional parameter combinations:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 936x432 with 6 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ax = visualize.sampling_scatter(result, size=[13,6])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "`sampling_1d_marginals` allows to plot e.g. kernel density estimates or histograms (internally using [seaborn](https://seaborn.pydata.org/)):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for i_chain in range(len(result.sample_result.betas)):\n",
    "    visualize.sampling_1d_marginals(\n",
    "        result, i_chain=i_chain, suptitle=f\"Chain: {i_chain}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "That's it for the moment on using the sampling pipeline."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 1-dim test problem"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To compare and test the various implemented samplers, we first study a 1-dimensional test problem of a gaussian mixture density, together with a flat prior."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "from scipy.stats import multivariate_normal\n",
    "import seaborn as sns\n",
    "import pypesto\n",
    "import pypesto.sample as sample\n",
    "import pypesto.visualize as visualize\n",
    "\n",
    "def density(x):\n",
    "    return 0.3*multivariate_normal.pdf(x, mean=-1.5, cov=0.1) + \\\n",
    "        0.7*multivariate_normal.pdf(x, mean=2.5, cov=0.2)\n",
    "\n",
    "def nllh(x):\n",
    "    return - np.log(density(x))\n",
    "\n",
    "objective = pypesto.Objective(fun=nllh)\n",
    "problem = pypesto.Problem(\n",
    "    objective=objective, lb=-4, ub=5, x_names=['x'])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The likelihood has two separate modes:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "xs = np.linspace(-4, 5, 100)\n",
    "ys = [density(x) for x in xs]\n",
    "\n",
    "ax = sns.lineplot(xs, ys, color='C1')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Metropolis sampler"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "For this problem, let us try out the simplest sampler, the `pypesto.sample.MetropolisSampler`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 10000/10000 [00:03<00:00, 2774.43it/s]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 3.65 s, sys: 194 ms, total: 3.84 s\n",
      "Wall time: 3.62 s\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    }
   ],
   "source": [
    "%%time\n",
    "sampler = sample.MetropolisSampler({'std': 0.5})\n",
    "result = sample.sample(problem, 1e4, sampler, x0=np.array([0.5]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7f8466613f40>]"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sample.geweke_test(result)\n",
    "ax = visualize.sampling_1d_marginals(result)\n",
    "ax[0][0].plot(xs, ys)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The obtained posterior does not accurately represent the distribution, often only capturing one mode. This is because it is hard for the Markov chain to jump between the distribution's two modes. This can be fixed by choosing a higher proposal variation `std`:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 10000/10000 [00:03<00:00, 2849.08it/s]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 3.55 s, sys: 190 ms, total: 3.74 s\n",
      "Wall time: 3.52 s\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    }
   ],
   "source": [
    "%%time\n",
    "sampler = sample.MetropolisSampler({'std': 1})\n",
    "result = sample.sample(problem, 1e4, sampler, x0=np.array([0.5]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7f844fffcdf0>]"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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v5+9//zsAV111FYqitNvu3Xff7fPCRP9U5/CQ2oMhN7MxFEjVDY19XZIQop/oNJBWrlzZ8vV//Md/RLwY0f/VO5p6dA1Ip9WQZNJTXS+BJMRg1WkgTZ48ueXryy67LOLFiP6v3tlE3oi0Hj03zZpIlQSSEINW2AP9a9eu5fDhwwB8/vnnXH311cyYMYP9+/dHrDjR//S0hwShmXnSQxJi8Ao7kNatW9eyzcTvfvc7fvzjH/Pzn/+cJ554ImLFif6lscmPxxvocSClSSAJMaiFHUgOh4OkpCScTidHjx7l9ttv55ZbbqG4uDiS9Yl+pM4RmiGXZu15ILk9ftwe2cpciMEo7MVVs7Oz+eyzzzh+/DiTJ09Gq9XidDrRasPbploMfHX20E2xKUnduym22ZDk0PMqat2clxP+9hVCiIEh7ED65S9/yf3334/BYODpp58GYOfOnVx88cURK070L9/0kHoWSJlpJgDKqlwSSEIMQmEH0lVXXcWuXbtaHZszZw5z5swJ6/nFxcU8/PDD1NfXk5KSwqpVqxg1alSrNjU1NTzyyCOUl5fj9/uZOnUqS5YsQafr9j6CIgaae0g9uQ8JIDP1bCBVO9t93OH20ujxt3xvTNSRZOreihBCiPjVrd/0DoeD4uJiXC5Xq+NXXHFFl89dtmwZCxcupKCggM2bN7N06VJeeumlVm2ef/55xowZwwsvvIDP52PhwoW89dZb3HDDDd0pU8RIncODVqP0OCSMCTpSkxIoq3K1+3ijx89nRytbvr8kL1MCSYgBJOxA+t///V8ee+wxTCYTiYnfDMkoisKOHTs6fW5NTQ1FRUUteyfNmzePlStXUltbS1raN/esKIqCy+UiGAzi9Xrx+XwMHTq0uz+TiJE6e2jKt0bT/ooe4cjJsHTYQxJCDGxhB9Lvf/97nnrqKa666qpuv0h5eTlDhw5tmQCh1WrJzMykvLy8VSD9y7/8C/fddx/Tpk2jsbGRwsJCLr300jbns9vt2O32VsdsNlu36xK99+1hNFuNq9v7IJ0rN9PCh1+Uoapqh0tVCSEGprADKRAIRHxH2O3bt5OXl8f69etxuVwsXryY7du3t7lOtX79elavXh3RWkR4vj2MZqt1MWyIpVfnGzMsmTf3nKKi1k1Wuuy1JcRgEvZ9SIsXL+YPf/gDwWCw2y+SnZ1NRUUFgUAACIVbZWUl2dnZrdpt2LCBG2+8EY1GQ1JSEjNmzGDv3r1tzrdo0SJ27NjR6t/GjRu7XZfoW65Gf697SGNyUwA4UdrQBxUJIfqTsHtI69ato7q6mj/96U+kpKS0eqyr1b7T09PJz89n27ZtFBQUsG3bNvLz81sN1wHk5uby/vvvM2HCBLxeL7t37+baa69tcz6r1YrVag23dBEFwaBKY1PvA2lUthWtRuGr03V8d2JOH1UnhOgPwg6k3q72vXz5ch5++GGee+45rFYrq1atAkI9r/vvv5+LL76YRx99lGXLljF//nwCgQBTp07l1ltv7dXriuhwN4WuI6VYejfrzaDXMm5EKp9/VdUXZQkh+pGwA6m3q32PGTOGTZs2tTm+Zs2alq9HjBjRMhNP9C/uxtByP32x/fjUi7JY93oR1fWNDEkx9vp8Qoj+IexrSF6vl9///vfMnDmzZebbrl272LBhQ8SKE/2H6+z6c70dsgOYOj4LgDf3nOr1uYQQ/UfYgfTEE09w7NgxnnzyyZbpuOeffz4vv/xyxIoT/Yfr7NTvvgik3MwkrpyQzd/eO86bu09ysqyBylo3Tb5Ar88thIhfYQ/Zvf3227z11luYTCY0mlCODR06lIqKiogVJ/qP5iE7q7lvVk64+8aL+frMLla/8gUAI7OS+Nn3J/TJuYUQ8SnsHpJer2+Ztt2stra2zYw7MTi5PD6MCTp02rA/Up3KSDWy9K7LmXvleUzOH8rpSif/teVLVFXtk/MLIeJP2L895syZw0MPPcTp06cBqKys5LHHHmPu3LkRK070H26PH1Ni3y6Cm6DXMirHytSLsvjexByOlzZwstze9ROFEP1S2IH0wAMPMHz4cG688UbsdjuzZ88mIyODe+65J5L1iX7C5fFhNuojdv7889JJTUrgyxM1EXsNIURshf0nbUlJCeeddx4//elPCQQCzJo1i7y8vEjWJvoRV6OPIcmRm6Kt1ShcckEmOz85jafJT2KCbEkixEDTZQ9JVVUeeeQR5s+fzx//+Ed27tzJpk2bWLBgAY888oiM6QuCqkqjx4+5j4fszvWdvEyCKpy0ybCdEANRl79B/vrXv7Jv3z7++te/MmHCN7OcDhw4wL/+67/yl7/8hX/+53+OaJEivjV6/KgQ0SE7CK0EnqDXUlbl4oKRaV0/QQjRr3TZQ9q8eTNLlixpFUYAEyZM4NFHH2Xz5s0RK070D+6zN8WaEiMbSBpFISfDzJkq2S9JiIGoy0A6ceIEU6ZMafexKVOmcOLEiT4vSvQvrsbQTbF9PcuuPTlDLNhd3paVIYQQA0eXv0ECgQAWS/t73Fgslh5tRyEGluZwsBj1+ANBKmvdLY/19eoKmamhiRNVdY19el4hROx1GUh+v589e/Z0OHnh3JtlxeDjOrtKgzFRT5MvwIHj1S2P5Y1M7dPXal5stbpeAkmIgabLQEpPT+fRRx/t8PFz9zQSg0/zKg1aTeS3HDfotaRYEqSHJMQA1GUgvfPOO9GoQ/RjrsbI3hR7riEpiVRKIAkx4PTNwmNiUHNF4R6kb0uzJmJ3eWX1byEGGAkk0WvR7iGlWhMBKK92Re01hRCRJ+uviF7xB4I0Nvkjfg/St6WdDaSyarkfaTAL+r2o3qaW7zVGM4oif2P3Z1ELpOLiYh5++GHq6+tJSUlh1apVjBo1qk27N954gz/84Q+oqoqiKKxdu5YhQ4ZEq0zRTXaXFwhN+Y6WZEsCGkWhrEp6SINVY8khbP/z76hN39xiYBh6HtkLl6I1WWNYmeiNqAXSsmXLWLhwIQUFBWzevJmlS5fy0ksvtWpz8OBBVq9ezfr168nIyMDhcGAw9M2GbyIy6hweIPLLBn2bVqOQbDFQ8a37ncTg4Tl9BNtfnkBnTcd6VWjZsqDXQ/2uTZT/+TGyC5ehNSbFuErRE1Hp39bU1FBUVMS8efMAmDdvHkVFRdTW1rZqt27dOu68804yMjIASEpKIiGh91tii8ipc4SGTKIZSBDqJdlqpYc02HjOHKP8L4+jS0oju3AFyVNuIHnKDaR+9/sMvfmXeKtPU/7nlQQ88tnoj6ISSOXl5QwdOhStVguAVqslMzOT8vLyVu1OnDjB6dOnKSwsZMGCBTz33HPt3pBrt9spLS1t9c9ms0XjRxHnqD8bSH0xZNe8ykPzv85m0aUkJVBZ20gwKKvNDxbeqhJsL69Ea04mu3A5uqTWN12bxnyHrH/6Jd7KU9heXokakOWl+pu4mtQQCAQ4evQoa9euxev1cvfdd5OTk8NNN93Uqt369etZvXp1bIoUrdQ5mtAoCokGba/P1Z1VHlIsCfgDQarrG8lMM/X6tUX8q3l7PWg05PxwBTprerttTOdfSmbB/VT+7T+x799B8uQ5Ua5S9EZUAik7O5uKigoCgQBarZZAIEBlZSXZ2dmt2uXk5DBnzhwMBgMGg4GZM2dy4MCBNoG0aNEiFixY0OqYzWajsLAw0j+KOEe9w4PZqENRIr9Kw7elJIWGckurnBJIg0BjySEav/6ctJk/QmftfJKTOf9KEj/5O/W7NpE08Ro0ehn27y+iMmSXnp5Ofn4+27ZtA2Dbtm3k5+e3WXZo3rx57Nq1C1VV8fl87NmzhwsuuKDN+axWK7m5ua3+ZWVlReNHEeeodzRF/foRhK4hAdhq5FrBQKeqKnXvvozWkob10q57PIqikHr1QgKueuyf/D0KFYq+ErVJ+8uXL2fDhg3Mnj2bDRs2sGLFCgAWL17MwYMHAZg7dy7p6enccMMN3HTTTYwdO5abb745WiWKHqiLUSCZE3XodRq5OXYQaDyxH8/pw6ROuzns3o5xxIUYx3yH+t1/IygTHPqNqF1DGjNmDJs2bWpzfM2aNS1fazQaHnnkER555JFolSV6QVVV6uwestLNUX9tRVHISDFKD2mAU9Ugte/+GV1KJkmTZnTruWlXLeTMiw9Sv3craVf9IEIVir4ktzWLHnM2+vD6gySZot9DAshINWKrkXuRBjLXkb14K4pJnX4birZ7n7OE7NGYL7iChn1bCbjtEapQ9CUJJNFjzXsSxWLIDiAz1YStxtXhXl2i/6v/6G/oh+Riueh7PXp+6lU/QPU2Yf9kex9XJiJBAkn0WHMgRXPZoG/LSDHi8QZa7oUSA0uTrRiv7QTWS2ajaHp2W4FhSC7G8ybgOPAOqiq7W8c7CSTRY9UNoWWDLKbYLO+UcXY7c1lCaGByfLEDRavHMr5nvaNmSZNm4m+oorH4YB9VJiJFAkn0WHV9IxpFwRTFvZC+rXk7c5nYMPAE/V6cX36AKe+yXq9LZxo3BU2iBccXO/qoOhEpEkiixyrr3KQkhVbejoUhyWcDSXpIA4776D6CHidJk2b2+lwanQHL+Om4j+4j0Ojog+pEpEggiR6rqmskPTkxZq9v0GtJsyZSITPtBhzHFzvQJWdiHHVxn5wvadJM1IAP55cf9Mn5RGRIIIkeq6pzk362lxIL/kCQNGsipyscVNa6cbi9MatF9B1ffSWNxQdImnhNn224lzB0FIasMTg+3yGzMuOYBJLokUAgSHWDJ6Y9pCZfAI1G4Uy1k8+OVtLo8cesFtF3HF+8AygkTbimT89rnTQDb+VJvLav+/S8ou9IIIkeqbF7CAbVmAYSgNVswOX2EQjKlN6BQFWDOA/sxDh6IrrkjD49t/mi76HoDDg+l8kN8UoCSfRIVV3oHqR0a+wDSQUcbtn7ZiDwnD6C315N0oSr+/zc2kQzpnFTcB7+CDXY8V5bInYkkESPNE+1bp56HSvWs/dAOVxy/WggcB3+CEVnwHT+5Iic33Lhdwk2Omg8+WVEzi96RwJJ9Iitxo2ixD6QksyhQLJLIPV7ajCA68gejGO+g8YQmc+VcfQkFEMirsMfReT8onckkESP2GpcDEkxotPG9iNkMenRKIoE0gDgKT1CwFmH5cLvRuw1NPoEzOdPwXV0L2pAJsHEGwkk0SO2GhfZMdh24lwaRcFi0ksgDQCuw7tDw3VjL4no65jzrwwN252SYbt4I4EkesRW42ZonGwdbjUbJJD6OTUYwHV4N6axl0RsuK6ZccwkFIMRV5EM28UbCSTRbW6Pj3pnE9lDYt9DglAgyU2x/Zvn9BECrnrM+VdG/LU0OgPmcVNwHZNhu3gjgSS6rawqNMNuWIYlxpWEWM0GGpv8eLzyy6W/apldN/bSqLxeaNjOSeNJWQE8nkQtkIqLi7ntttuYPXs2t912GydPnuyw7ddff83EiRNZtWpVtMoT3VBaGVqgclhm/AQSQHW9J8aViJ5onl1nGnspGkN07mszjp4YGraT2XZxJWqBtGzZMhYuXMibb77JwoULWbp0abvtAoEAy5YtY9asWdEqTXRTaZUTjQI5cTJkl2RqDiRZZLU/8pw+HBquuzDyw3XNWobtju6TYbs4EpVAqqmpoaioiHnz5gEwb948ioqKqK2tbdP2hRde4Oqrr2bUqFEdns9ut1NaWtrqn81mi1T54hxnKp1kppnQ63q2i2dfS7YkAFAlPaR+yXVkT2i4bkxkZ9edy5x/JUGPU2bbxZGo7KxWXl7O0KFD0WpDv8C0Wi2ZmZmUl5eTlpbW0u7IkSPs2rWLl156ieeee67D861fv57Vq1dHvG7RvtJKJ7mZvds0rS8lGrTodRqqpIfU76hqENfRvWdvho3uMlTG8yag6BNxHdmLafSkqL62aF9stvpsh8/n41e/+hW/+c1vWoKrI4sWLWLBggWtjtlsNgoLCyNZoiC05UNppZNLL8iMdSktFEXBajZQXd8Y61JENzWVHSfgqMV8weVRf22NPgHT2EtwH9uLOuduFE189PgHs6gEUnZ2NhUVFQQCAbRaLYFAgMrKSrKzs1vaVFVVUVJSwk9+8hMgNCynqipOp5OVK1e2Op/VasVqtUajdHGOsion/kCQkdnx9f5bzQaqJJD6HdeRPaDRRW123bnMF1yO6/BHeEqPYhxxYUxqEN+ISiClp6eTn5/Ptm3bKCgoYNu2beTn57carsvJyWHv3r0t3z/zzDO43W4eeuihaJQownTKFpphNzKrZ4GkntrPqN0vo6ih1ZbVTwyYR16PK6N3O4NazQYOF9eiqipKjLZUF92jqmpo7bpRF6NNjM0EGdOYS1C0+tCwoQRSzEVtlt3y5cvZsGEDs2fPZsOGDaxYsQKAxYsXc/Cg3AvQX5wqt6PRKOT2YMp3gv00vPdHVI0Od8oY3CljQKMj+9DG0GO9YDUb8PqD1DuaenUeET3eylP46ytiMlzXTJNgxDh6Iu4je2Qn2TgQtWtIY8aMYdOmTW2Or1mzpt329913X6RLEj1w4kwDwzMtGPTdG2/XNtnJObgWEpMo/c7PCBhCkyKSM7UEXlvBsAMvoo5Z1uO6rObQTLvyGhepMd6jSYTHdWQ3KBrM46bEtA5z3lTcX32Ct/wECTljY1rLYCcrNYhuOV5aT06GhcpaN5W1bpp8XW90pgR8DDvwIlp/I8y6ryWMABSjlTMT7kQT8MCO1SiBnm20l2wJ3Ytkq5GZdv2F6+heEkfkozUnx7QO07gpoGhwHd0T0zqEBJLohjq7h3pHExpF4bOjlXx2tBJ/oOutwzO+eo0ERynlFxaipI1o87jXkkP5hYVQfZLMY3/rUW1WkwGFbzYOFPHNW3MGX9VpzHmxG65rpjUmYRw1HpcM28WcBJII24kzDQBkdGNTPtVRRXL5Pupzp+HKGN9hO1fGeLhwFtbyfegba7pdm1arIdWaSLkEUr/gOhKawGTOmxrjSkLMeVPx1Zbjq+7dtUzROxJIImxfldShABmp3dge4Ms3AYW6kdd03fbiOaiKhtSSd3tUX0aqEVu1BFJ/4Dqym4Sc89FZ02NdCgCmvKmAgvPw7liXMqhJIImwHTtdT9YQc9gTGrReB3z1AfasS/EndH2dQDGl4siajLV8X+i53ZSZapIeUj/gqy3Ha/s6qmvXdUVnSSVxxIW4Dn8kw3YxJIEkOuVwe6msdVNR4+JYSR0js8JfMijl9AcQ8FM7ckbYz6kdeQ1KMEDq6fe7XWtmqpEGpxdXY88mRojocJ5dYdtywRUxrqQ1c/6V+KpL8VXJsF2sSCCJTjV6/Hx2tJL39p/B7vKGvYadxu8h5cyHMOpSfKaMsF/PZ8rAmTmB5NKPUL3dmzHXvINtuQzbxTVX0UckDMtDlxz+5yIazBdcDooG5+EPY13KoCWBJMJSURsKh1E54a3QkHzmI7R+D1x8Q7dfq3bkDLQBDxx5t1vPy0yVQIp33pozeCtPYomj4bpmOksKiSMvkmG7GJJAEmGpqHWh1SgMC2cPpKCf1NPv40odhzJkVLdfqykpF1faOCh6CyUY/l41mWd7SGXVzm6/pogO19lJA+Y4G65rZsm/El9NGd7KU7EuZVCSQBJhqah1k5FqRKvt+iNjqT6EzuugbsT0Hr9e3fCroNGOuSr8vWoS9FqGJCdypkoCKV45iz4kcXh+3MyuO5c5b2roJtkiGbaLBQkk0aVAMEhVXSNZaeEtgJlctg9fQgrutLwev6Y7bRyY00gu39t142/JybBQViVDdvHIW3UaX1UJ5vz4G65rpjUnYxw1HqcM28WEBJLoUk29h0BQZWi6qcu2qrMWU+1R7Nmh5Vh6TNHA+dMw1X6FzlMX9tOGZVoorXLKL5M4FBquU2K6mGo4zPlX4q+z4a0ojnUpg44EkuiS7eyEhuZZbJ06/iEKaiiQemvsd1FQsZZ/HPZThmVYcDX6sLu8vX990WdUVcV5+EMSR1yILimt6yfEkDnv7Gw7GbaLOgkk0aWKWhemRB0Wo77zhmoQju/CnToWn7H31wiUpAxcqeeTXP5x6Nxd8AeCWBJDNX55ohqHW0IpXngrivFVl8bl7LpzaU1JGM+biPPQLtQwPnei70ggiS7ZatxkpZu73PjOWP81OKpoyL6sz17bnn0Zek8txrrjXbZt8gWosXsA2POljUZP+DP0RGQ5vtgJWh3mC6fFupSwJE28hoC9msaTsldbNEkgiU453F7sLm9Yw3XJZfvAYMSZMaHPXt+ZcTEBnZHk8n1htU8y6dFpNdSdDSYRe6rfh/PQ+5jHXYbW2P2NHWPBNG4KmkQzzgPvxrqUQUUCSXTq67MrfHcVSBpfI5aqL2D05ajaLob2ukHV6nEM/Q6WqoOoTV3PnlMUhVRrArUOCaR44Tr+CcFGJ0kTw19CKtY0OgOWC6fhOrKHoEdmbUaLBJLo1NdnGlCU0DpxnUmq3I8m6Ifz+35IpiFnaujcX4e3gVpaUiJ1dtnKPF44v9iJ1pKG8by+6zlHg2XCNah+r0xuiKKoBVJxcTG33XYbs2fP5rbbbuPkyZNt2jz77LPMnTuX+fPn8/3vf58PPvggWuWJDnxd1kB6shG9rvMVvpPL9tFkyYb0UX1eQ5NlGB5LDny1K6z2qdYEnI0+3B5ZZDXW/I463Cf2kzThKhRN97a9j7WEnLHoh+TikGG7qIlaIC1btoyFCxfy5ptvsnDhQpYuXdqmzYQJE3jllVfYunUrTzzxBA888AAejwy9xEowqFJcZieri+E6g7OMRMdpGrKndjnxoUcUBXv2ZVBzigTHmS6bpyeHenOllbJiQ6w5v3wP1CCWCWHshxVnFEUhaeIMms4cxVtdGutyBoWoBFJNTQ1FRUXMmzcPgHnz5lFUVERtbW2rdt/73vcwGkO/TPLy8lBVlfr6+jbns9vtlJaWtvpns9ki/nMMNqcrHDQ2+cnq4obY5LJ9BBUt9qxLIlaLPesS0OiwhjG5YUiKBFI8UFUVx4GdJAzLw5A+LNbl9Ihl/PTQPUkH3411KYOCLhovUl5eztChQ9FqQ112rVZLZmYm5eXlpKW1f5Pca6+9xogRI8jKymrz2Pr161m9enVEaxZw+GToD4as9I6XDFIDPqwVn+LKGE9QH97SQj0R1Jth5CVYT39K9Zh5nU6cMCfqSDBoOV3R/U3+RN9pKjuOr7qUITf8LNal9JjOkoppzHdwHHiP1Kv+ud8NO/Y3UQmk7tq3bx9PPfUUL774YruPL1q0iAULFrQ6ZrPZKCwsjEZ5g8bhk7UkmfRYzYaOG5V8jtbn7tN7jzp0/jS0xfswVx/COXRSh80URWFIslECKcbsH7+OYjBiieO168KR9J1rcW/6d1xH9mC58LuxLmdAi0ogZWdnU1FRQSAQQKvVEggEqKysJDs7u03b/fv38+CDD/Lcc88xevTods9ntVqxWsPbl0f03OGTtYzJTen8utBXH5xdSHVc5AvKvhBfQirJ5Xs7DSSAjFQjX56owecPotfJZNJo89urcRZ9SPKUG9AkRq7nHA2m8y9Fn5ZNw54tmPOvjMx1UgFE6RpSeno6+fn5bNu2DYBt27aRn5/fZrjuwIEDPPDAAzz99NNcdNFF0ShNdKDO7qG82sX5w1M6bKPz1MGZQ71fSDVMikaDPXtyWAuuZqYa8QeClNjsEa9LtNXw8esAWC+bG+NKek9RNCRfNo+m8uN4Th+OdTkDWtT+dFy+fDkbNmxg9uzZbNiwgRUrVgCwePFiDh4MLc+xYsUKPB4PS5cupaCggIKCAo4ePRqtEsW3FBWHrh91FkjW8k8AlYa+WEg1TA3Zl4W14Grz7rFfna6PQlXi24JNbuz738acfwX65MxYl9MnLBOuQWNMomHvlliXMqBF7RrSmDFj2LRpU5vja9asafn61VdfjVY5oguHimsw6LWMzLJy4Hh12wbBAMlluyE7H38fLKQaLr8xDVfqOJLL9qAG/6nDdlazAbNRz7GSOuZcMSpq9Qmwf74DtclN8tQbY11Kn9HoE7BeMpv6D1/FV1uGPi0n1iUNSDK4Ltp18Hg1F45KQ9fBDrFJlV+gb2qAi66LcmVQP3x66LWLP+mwjaIojB2W3DJTUESHGgxg//h1Eofnk5gzNtbl9Cnr5Dmg1dKwd1usSxmwJJBEG3aXl5PldsaP7aDno6qknn4frykDci+ObnGAKz2PJlMmHHoTOtmIb+zwFEornbI3UhS5juzB31A1oHpHzXSWVJLGT8dxYCcBt8zgjAQJJNHGwbNDdBePGdLu48aGYhIdp6kbfhVKFCYztKFoqB8+HWpOhba86MDY3BQADn1dE6XCBjc1GKBu1yvo03IwjZsc63IiInnqfFS/j/o9r8W6lAFJAkm0sf9YJcYEHeNGpLb7eGrJewT0JuxZl0a5sm/YsyZDgoXU0+912Oa8nGQMei0HT7RzDUz0OcfnO/BVlZB2TWFs/lCJAkPGCCwTrqJh3zZ8dbI6TF8bmJ8a0WN2VxOfHqkkb0QqtQ0emnyBVo+r9grM1YeoH3YlqraTG2YjTNXq4YJrMFcXoXdXtdtGr9Nw0XlpHPiq/cdF3wl6XNS+9zKJIy7ClDc11uVEVNrVhSgaLbXvbIh1KQOOBJJopfiMner6RqwWA58drcQfOGcL50P/QFU01A+LgzvWL5iBqmhIPf1+h00mnp/BKZuDmobGKBY2+NR9+CpBt4P0WT8e8DeO6pLSSLniJlxHdtNYUhTrcgYUCSTRyoHjod7EyKy2K2Fom+xwfBeOoZcQSIj9ShmKKRlH1qVYyz9G29TQbpvJ+UMB+ORwRTRLG1R8dTYaPn4dy4SrSchuf3WVgSb58gK0SenU/GMdqhrs+gkiLBJIopUvjleTZk1sd/26ISdeh2CA2lEzY1BZ+2pHzgQ1yJATb7T7+IisJDJSjXxcJIEUKbXv/DeKRkfa1QtjXUrUaPQJpM34IV7bCZwHO76OKbpHAkm0aHA2caykjtE5bXs/iQ2nSLZ9Ahdeh8+UEYPq2uczDaF+xFUk2z5BrTrR5nFFUbh8fDafHa2UDfsiwHHwPVxH9pBy5QJ0Se2v3D9QWS6aRsKwPGr+sRZffWWsyxkQJJBEiz1flqOqMPrsdOkWapCMr17Db0iCSfNiUltnakbOxG+wwp4/w7eGT/yBIJW1bvJHpeHzB9n1RVkMqxx4vNWlVP/9jySOuJCUKxd0/YQBRlE0ZBbcD6pK5d/+EzUgf/D0VlxuPyFi4/39Z9BoFL4urScjxcj614uYNikH18F3GWcoYYPzu3y2eh8aTeiitc8fJDUpgTpHE1Pyh/Lx2es0OUPMlFW7elSDRoHg2XtdtRqFQPCbG18TDVo83taz/izG0PYYOfaLud37IfvfeI0DXIDVbOC/tnzJXTeOJ6iqKMCLW7/kuqkje1SXaC3o9VDxv0+i6BPIvOmBQbtPkD41i4x591Lx6m+p2fHfDLnuzliX1K9JD0kAUF3fyMET1QSDKp8cCQ0/OBt97Nz9FdfpPuakfwifeEcTCKr4/EF8/lBPpM7RBNASRkCPwwi+CSOgVRgBbcKoucayahefekdT7Mvg+oRP8TW6KKt2tbTXKAoq4Gr00+Bs6nFt4hvVb/4JX1UpmQX/Z9AN1Z3LfMFUrFPmYv/4dZxHdse6nH5NAkkAsOOTkjar8CioFFo+wqJ4eNV1GaF+RnxSUXjVPQWL0kSh5SNCEdTWzk9Lo1zZwFP34as4D+wkZdo/YRo9MdblxIX0mbeTkHM+VVuflS0qekECSRAIqry1t4QJY1svFTTP+BkTDSW85p5MSaD9ZYTiyenAEF5zT2aioYR5xs/abbN9dzHBYMfr34mOqapK7c4N1L37Zyzjp5P6vVtjXVLcULR6hv7Tg+gsqZS/vBL311/EuqR+SQJJsO9QOZW1bm648ryWY9ayvcwyHmKXZxzvNeXHsLruea/pAj7w5DHLeIjLE75q8/iZKhefHJEp4N2lqkFq3vwT9R/9jaRLriPjxvsG7XWjjuis6WTfvhJ9aja2/3kC19G9sS6p35FAGuRUVeWVd75iaJqJyy8ObSmfpytj6NFXOOzL5lX3ZRDHQ3VtKfyvewpF3hxuNe3BVNN6g8fMVCP/8/Yx1E5WCRet+R21VGz6LfZPt5N8eQFD5vxkwK5V11s6SwrZP1xBQtZoKl59krpdr8jsu26QT9Ugt+dLG8dK6rl11jg0BLku8QA/TdqB15TJOudVBPvhRySIhnXO6VQEkhl24E+kFf8DhdAkjFtnjePoqTr2fCkLY3ZFVVXs+/9B6R//PxqLvyD92jtIm3H7gF8aqLe0RgvZC5dizr+Cuvde5syLv8Rzpm1vXbTV/37biD7j9vhYs/kgw4cmMX2cifKNK5hr+pz93lGcvvRePGrsFk/trSYM/F/7HByZkxhSvJ17kv5BsuJi1pQRjMhK4oXXDsqNsh1QgwFcR/ZS9tISqt94HkPWeeQu/h3Jl82TMAqTxmBk6IL/n6G3PEyg0UnZ+kep3PosTbaOt0sRUbwPqbi4mIcffpj6+npSUlJYtWoVo0aNatUmEAjw+OOP88EHH6AoCj/5yU+45ZZbolXioBIIqvzfv+zH4Cjj/1xqp/xP/wUqbHB+l4+9o7lHZ4x1ib3WhAHbRYW40vIYXrSJR1M2U/eWk/tnTeWXfz7F71/+jId/NAVtB7viDiaqGsRbWYL72MfY9/+DgKMGrXUIQ274GUmTZsoQXQ+Zx03BOOJCat//C47Pd+A88A4Jw8Zh/c61GM+biM7awSaYg1TUAmnZsmUsXLiQgoICNm/ezNKlS3nppZdatdm6dSslJSW89dZb1NfXc9NNN3HFFVeQm5sbrTIHPL+znurjRex5dzdTG47xA2s1ytd6zBd+l9Rp/8THv/441iX2OUf2ZP60u5HrjAe5/MBO9J+9ya+Hj+D9Eymse/4r5t80k8xh2bEuM2rUgA9fXQW+mjJ8tWU0lR+n8dQhgm47AMbzJmKdfRem8yfLxIU+oEk0M+S6u0id/gOcB3Zi/3Q7VdueBUCfnkPiiPEYMkdiSM9Bnz4MbVLqoP0DICqBVFNTQ1FREWvXrgVg3rx5rFy5ktraWtLSvrmp7o033uCWW25Bo9GQlpbGrFmz2L59O3fffXer89ntdux2e6tjZ86cAcBm69m1AVUN4j66j0Cjs0fPj5xvXXxvcyFePXtYDT0W8EMwiKoGUH1egn4fqr+JQKMDR00NmiYnejV0Y2iGquA1ZeCZeCOWCy7Hm2imwh3E564FoKbK1vJ1f1ZTFfo8lDv9rHfm890f3YXr6F48R/YwKfApSuknnFj9V4oUA36dGcVoJS0jHY0+EY1Oj6I3oCha0GhAqwNF+daw1TnDV62Gs3oytNXZ/3Xrx1v+z1U1tFySGoSgGvq/DwRQAz7UgB/V10TQ1wS+0Ocg0OhAbXK3OqvGkkpibh6JF+eRmJtHwJJKHVBXVt6Dn0F0KmcSZE+E6lI8Z47SUHoMz563wef5po2iQZNoQWuyoEm0oOgSUPQJaPQJKFodaLUoWl3oc6kAzZ/Ps89tParazuewN59TRcF8/mS05uTuPe8cWVlZ6HRt4ycqgVReXs7QoUPRakN/bWm1WjIzMykvL28VSOXl5eTk5LR8n52d3W7ArF+/ntWrV7f7WoWFhX1c/UB2FDbuaveRx96JcikRcu7Pce0A+bn6nkxRFtGzY8eOdke++uVadosWLWLBgtaLOXq9Xk6fPs2oUaNagq+7bDYbhYWFbNy4kaysrL4odcCR96hr8h51Td6jrg3k96ijnycqgZSdnU1FRQWBQACtVksgEKCyspLs7Ow27crKypgwYQLQtsfUzGq1YrW23SJh9Oi+2RwsKytLrlt1Qd6jrsl71DV5j7o2mN6jqFw5S09PJz8/n23btgGwbds28vPzWw3XAcyZM4dNmzYRDAapra3l7bffZvbs2dEoUQghRIxFbSrH8uXL2bBhA7Nnz2bDhg2sWLECgMWLF3Pw4EEACgoKyM3N5brrruPWW2/lnnvuYfjw4dEqUQghRAxF7RrSmDFj2LRpU5vja9asaflaq9W2BJUQQojBZXBOdu+A1Wrl3nvvbff6lAiR96hr8h51Td6jrg3G90hRZZVJIYQQcUB6SEIIIeKCBJIQQoi4IIHUib1795Kfn8+GDRtiXUrcWbFiBXPmzOHGG2/kBz/4QctMycGuuLiY2267jdmzZ3Pbbbdx8uTJWJcUV+rq6li8eDGzZ89m/vz53HvvvdTW9v8lqiJl9erV5OXlcezYsViXEhUSSB1wOp08+eSTTJ8+PdalxKXp06ezdetWtmzZwk9/+lMeeOCBWJcUF5oXEX7zzTdZuHAhS5cujXVJcUVRFO6++27efPNNtm7dyvDhw3nyySdjXVZcOnToEJ9//jnDhg2LdSlRI4HUgX//93/nrrvuIjU1NdalxKVrrrkGvV4PwKRJk7DZbASDwRhXFVvNiwjPmzcPCC0iXFRUJD2Ab0lJSWHq1Kkt30+aNImysrIYVhSfvF4vjz32GMuXL491KVElgdSO9957D4fDwZw5c2JdSr+wceNGrr76ajSawf1x6mwRYdFWMBjk5ZdfZsaMGbEuJe489dRT3HjjjYNmyaBm/XJx1d5asGBBh3+Vbd++nd/97nctW2UMVp29Rx999FHLL93XX3+drVu3snHjxmiWJwaAlStXYjKZ+OEPfxjrUuLK/v37+fLLL/nFL34R61KiblAG0t/+9rcOH/vkk0+oqqpq2am2rq6OnTt3Ul9fz7333hutEmOus/eo2T/+8Q9+//vfs27dOoYMGRKFquJbuIsIC1i1ahWnTp3i+eefH/Q963N9/PHHnDhxgpkzZwKhVb/vuusufvOb3zBt2rQYVxdZcmNsFx5++GHGjx8vf8WdY+fOnaxcuZK1a9cycuTIWJcTN26//XZuvvnmlp2RX3nlFf77v/871mXFlf/8z/9k//79vPDCCxiNxliXE/dmzJjB888/z7hx42JdSsQNyh6S6L1HHnkEvV7P/fff33Js3bp1g34SyPLly3n44Yd57rnnsFqtrFq1KtYlxZWvvvqKP/7xj4waNYof/OAHAOTm5vLss8/GuDIRD6SHJIQQIi7I4K0QQoi4IIEkhBAiLkggCSGEiAsSSEIIIeKCBJIQQoi4IIEkhBAiLkggCSGEiAsSSEIIIeKCBJIQcaakpITLLruMQ4cOAVBRUcHll1/O3r17Y1yZEJElgSREnBkxYgS/+MUvePDBB2lsbOTRRx9lwYIFrfYREmIgkqWDhIhTP/vZzzhz5gwAr776KgaDIcYVCRFZ0kMSIk7deuutHDt2jNtvv13CSAwK0kMSIg65XC4KCgqYOnUq77//Plu3biUlJSXWZQkRUdJDEiIO/frXv2b8+PH8+te/5uqrr2bZsmWxLkmIiJNAEiLOvP3223zwwQcsX74cCG0SWVRUxJYtW2JbmBARJkN2Qggh4oL0kIQQQsQFCSQhhBBxQQJJCCFEXJBAEkIIERckkIQQQsQFCSQhhBBxQQJJCCFEXJBAEkIIERckkIQQQsSF/wd5hprn0AX97AAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sample.geweke_test(result)\n",
    "ax = visualize.sampling_1d_marginals(result)\n",
    "ax[0][0].plot(xs, ys)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In general, MCMC have difficulties exploring multimodel landscapes. One way to overcome this is to used parallel tempering. There, various chains are run, lifting the densities to different temperatures. At high temperatures, proposed steps are more likely to get accepted and thus jumps between modes more likely.\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Parallel tempering sampler"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In pyPESTO, the most basic parallel tempering algorithm is the `pypesto.sample.ParallelTemperingSampler`. It takes an `internal_sampler` parameter, to specify what sampler to use for performing sampling the different chains. Further, we can directly specify what inverse temperatures `betas` to use. When not specifying the `betas` explicitly but just the number of chains `n_chains`, an established near-exponential decay scheme is used."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 10000/10000 [00:11<00:00, 863.05it/s]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 11.8 s, sys: 621 ms, total: 12.4 s\n",
      "Wall time: 11.6 s\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    }
   ],
   "source": [
    "%%time\n",
    "sampler = sample.ParallelTemperingSampler(\n",
    "    internal_sampler=sample.MetropolisSampler(),\n",
    "    betas=[1, 1e-1, 1e-2])\n",
    "result = sample.sample(problem, 1e4, sampler, x0=np.array([0.5]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sample.geweke_test(result)\n",
    "for i_chain in range(len(result.sample_result.betas)):\n",
    "    visualize.sampling_1d_marginals(\n",
    "        result, i_chain=i_chain, suptitle=f\"Chain: {i_chain}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Of interest is here finally the first chain at index `i_chain=0`, which approximates the posterior well."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Adaptive Metropolis sampler"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The problem of having to specify the proposal step variation manually can be overcome by using the `pypesto.sample.AdaptiveMetropolisSampler`, which iteratively adjusts the proposal steps to the function landscape."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 10000/10000 [00:04<00:00, 2337.47it/s]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 4.35 s, sys: 55.4 ms, total: 4.41 s\n",
      "Wall time: 4.3 s\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    }
   ],
   "source": [
    "%%time\n",
    "sampler = sample.AdaptiveMetropolisSampler()\n",
    "result = sample.sample(problem, 1e4, sampler, x0=np.array([0.5]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sample.geweke_test(result)\n",
    "ax = visualize.sampling_1d_marginals(result)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Adaptive parallel tempering sampler"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The `pypesto.sample.AdaptiveParallelTemperingSampler` iteratively adjusts the temperatures to obtain good swapping rates between chains."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 10000/10000 [00:13<00:00, 752.49it/s]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 13.3 s, sys: 91 ms, total: 13.4 s\n",
      "Wall time: 13.3 s\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    }
   ],
   "source": [
    "%%time\n",
    "sampler = sample.AdaptiveParallelTemperingSampler(\n",
    "    internal_sampler=sample.AdaptiveMetropolisSampler(), n_chains=3)\n",
    "result = sample.sample(problem, 1e4, sampler, x0=np.array([0.5]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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BnvRSJt8aiYeNKjP0Jjk+CEOwN98cKrBZuSJhO5KQhMOwWCwczCzjaHYF0WG+TB8bg5urjrYOE6UXGtm0L5+2DlOvd+e3JoZKQrKBvemltLWb7DqYodNkpqK6udu2cckGPt95jpPnKgkL9ALkJsRRSEISDmNvRinpZysZGhfIpFsi0WkvtoTcXXVMHxtDUXkDJ85cwMfTlRGDQhSOtn9oaG6npfXi85qtBwsIC/QiwNe9R5IAaOswWf36bR0mMs5Vdtvm6+2GBvjnt2cZl3Jx8r3chDgGSUjCIVTWtpBxtpJh8UHcecuAHksZaDQaJowcQHNrJ3vSS/H1ciN+gAz9tbWW1k6O5VTQ0NxOdkENo4eGcfzMhSsemxgTYJeYfDxdiQ73JbugmjHDwtFqrbvshbAdGdQgVM9isbA3oxQ3Nx1jk8Ovuq6OVqPhntHRBPt7sju9BJNZBjnYy9nCWgAGR9sn6fRmaFwQza2dFJY1KB2KuA6SkITq5RvrKa5oZPTQ8F7rlLnotIxLDqexuYPs/Bo7Rdi/WSwWcgprCA/yws/HXelwAIgx6PF0d+F0fnXvBwvVkIQkVK3TZGZvRikBvu4Miw/q03uiwnwJC/TiSHa5tJLsoLKuler6VhJV0joC0Gk1JMYEkG+so7m1Q+lwRB9JQhKqtv1IEXWN7YwfEdE1iKE3Go2G0UMvtpJO58kdsq3lFNSg1WgYGOmvdCjdJMUGYrZATqG0lB2FJCShWq3tnWzYk0t0mC8x4de38FpUmA/hgV4cza7AJBNmbcZstnC2qIYYg69ic4+uJlDvQXigF6fzq7FYLEqHI/pAEpJQrT0nSmlu7eS2Ide/hIFGo2H0sHAaWzrkOYINZeVX09zaqaruusslxQVSU99GXml97wcLxUlCEqq1+UA+hmBvDMHeN/T+yFAfDEFeHMupkDtkGzl4yoibq1a1S4cPjPTHRadlT7qsk+QIJCEJVcorrSOnoOaKc476SqPRkDIwmIbmDoorGq0coWjrMHEsp4KEARe/9NXIzVVHQqQfh7LKpeCqA1DnX5Ho977en4+ri5ZxKTdXpDMuwg93Vx3ZBdJtZ21HTpfT2m5iUJS/0qFcU1JsIC1tnew/KQVX1U5dTyGFAFraOtl5tJiJIwfg4+l6U+dy0WkZFOVPdkE1bR0m3F11VopS7D5egt7bjQF2XvfoekUEexPi78mmvXkMi+t96oDUvVOOJCShOruOF9PS1smMsbFWOd+Q2EBO5VZxrqi2z3OZxLU1t3ZwOKuMCSMHqL40z6UBLhv35rHjaFGvk3el7p1ypMtOqM7m/fnEhPsyJNY6I7dCAzwJ0LtLt50VHThVRnunmdFDw5UOpU9GDwsDILtA5iSpmSQkoSq5JXWcK65jxrjYGx7M8H0ajYYhMYGUVTVT09BqlXP2d7tPlBAS4ElCpGMUsA3w9SAqzIfsApmTpGaSkISq7EkvQavVMHHkAKueNzE6AI0GqW9nBfVN7RzPqWDSyAG9LoaoJkmxgTTKiEtVk4QkVMNisbAnvZThCcFWL9Lp7elKdJgvOYU1mM1yh3wz9maUYjJbrH7TYGuXRlzKRGn1koQkVCPfWI+xsonxI25uqPfVDIkNpKmlgzNS2+ym7D5ewoAQH4dbb8pFp2VQtD+5JXW0tVt/sUBx8yQhCdXYm16KVgNjkw02OX9MuC8uOg1Hsytscv7+oKa+lVO5lUwceeMTlpWUFBOIyWzhbHGt0qGIK5CEJFThUnddckIw/r62WVPH1UVHTLieoznl0m13g/ZllGKxwISRtmnF2lpIgCeBeg+ypdtOlSQhCVUoLGug5EKjzbrrLokf4EddY7sMAb9Bu9NLibqB6utqodFoSIoNpLy6mep6GXGpNpKQhN01NLdTUd3c7bX1YAEaYFCkf7ftbR3W7euPNehx0WnZm1Fq1fP2B9X1rWTlVTHRxjcNtjY42h+tBmklqZBUahB219LaybGc7s9xdqeXYAj25nxJXbftiTHWXdbAzVXHsPhA9mUYeeKBZId8DqKUS911tm7F2pqXhysxBj05hTWMTTaovtJEfyItJKG46vpWaurbSLDTiqOjhoRRWdvC2aJau1zPWexJLyUm3JdoB+2uu9yQmECaWzspKm9QOhRxGUlIQnG5/2oVJdhpGPGIQSHotBr2pku3XV9V1bWQlVfFBAebe3Q1MQZfPNykCrza2C0h5eXlMXfuXKZPn87cuXPJz8/vccyePXuYPXs2ycnJLF++vNu+d999l3HjxpGWlkZaWhpLly61U+TC1gqM9YQGeOJ9k5W9+8rb05URg0PYd7JUyshcxfef8205UIDFcnHYtC2f8dmLTqtlcHQAuaX1sk6SitjtGdKSJUuYN28eaWlprFu3jldeeYWPP/642zFRUVEsW7aMzZs3097e3uMcDz74IC+++KK9QhZ20NLWSVl1M7cnhdn1unekRLBi7QlyS+rs1lXoSL7/nG/n0WKC/DwwVjVhrGrq2m7tZ3z2NCQmgIxzlZwrqiU5IVjpcAR2aiFVVVWRlZVFamoqAKmpqWRlZVFd3b25HBMTQ1JSEi4uMtaivyj8Vx++vZfAHpscjlYD+0/Jom29aWzpwFjVxEAnS9zB/p4E+XlwWuobqkafE9K2bdvo7Lyxpq3RaCQsLAyd7uLiaDqdjtDQUIzG6/sy2LhxIzNnzuTHP/4xx48fv+Ix9fX1FBcXd3uVlZXdUNzC9gqM9Xi6uxAa4GnX6/r5uJMUF8TBU/K30ZvckloAh6ns3VeXqsBX1MicJLXoc1PknXfe4eWXX+a+++4jLS2NESNG2DKuHh5++GGeeuopXF1d2bt3L08//TSbNm0iIKB7l8Hq1atZsWKFXWMTN8ZssVBY3kCsQa/I8Osxw8L5YH0mZVVNhAd52/36juJ8cR2Beg8CfD2UDsXqBkf7s+9kKdn51dwx3LGHszuDPreQvvrqKz766CPc3d352c9+xvTp01m5ciXFxcW9vtdgMFBeXo7JdPEBqMlkoqKiAoOh7zXLQkJCcHW9+NB7/PjxGAwGzp492+O4xx57jO3bt3d7rVmzps/XEfZTXtVMW7tJsVn/Y5IvLi53KFNaSVfT1NpBaWWT07WOLvHycCUmXC9V4FXiup4hDRkyhBdffJHvvvuOJUuWsHnzZqZOncr8+fP56quvMJvNV3xfUFAQSUlJbNiwAYANGzaQlJREYGBgn69dXl7e9fPp06cpKSkhLi6ux3F6vZ7IyMhur/Bwx1jVsr8pKKtHo4GoMB9Frh8R7ENUmC8HJSFdVZ6dh+QrYUhsgMxJUonrHj1QWFjIV199xVdffYVGo2HhwoUYDAbWrFnD1q1br9pd9uqrr7J48WJWrlyJXq/vGta9YMECFi5cSEpKCkeOHOG5556jsbERi8XCxo0bWbZsGRMnTuTNN98kMzMTrVaLq6srr7/+OiEhITf36YWiCsrqCQ/yxsNNuUEsY5PD+WzHORqb2/HxclMsDrU6X1KHv687gXrn6667JDZcj7ubjuyCGrsPrhHd9fmbYM2aNaxbt46CggLuvfdeXn/9dUaOHNm1f/r06dxxxx1XfX9CQgJr167tsX3VqlVdP48aNYpdu3Zd8f3fn5ckHFtjSweVta2Ms9FSE301Zlg4a7ef5cjpcibfFqVoLGrT0tZJyYVGbk0MdeoSSzqdlsFR/mTlVcucJIX1OSHt2rWLH/3oR0yZMgU3t553kp6enrz77rtWDU44r8KyeuDijHl76zSZqahuBi6OtvPzduO74yUMjQvqdpynhwu+/bjVlFdah8VCv5inNSQ2kJPnqzhXXMcdKTK4QSl9TkijR4/m3nvv7bH9ww8/5Ec/+hEAEyZMsF5kwqkVGBvw8XRVpCuorcNExrnKrt8HhPqQfvYCh7PK0On+/Vj11sTQfp2QzhfXofd2I9jPebvrLgnxl3WS1KDPgxree++9K27/85//bLVgRP9gMpsprmggOtxXFV1BcRF+dHSaKb7QqHQoqtHY0kFxRQMJA/xU8W9kaxfnJAVQXt1M2WWVKIR99dpC2r9/P3BxqPaBAwe61f4qLi7G21vmb4jrk2+sp73TTGSo/bvrriQy1AcXnZa80nqHXXjO2k6cuYC5n3TXXTI4OoD9J43szShl+CAZMKWEXhPSr3/9awDa29t56aWXurZrNBpCQkJ4+eWXbRedcEpZuRe7RaJClRnu/X0uOi3R4b7kl9ZhuWVAv2gR9OZodjk+Xq52r6ChJG9PV6LDfdl/0shPZg1HJ+sk2V2vCenbb78F4IUXXuD111+3eUDC+WXmVRES4ImHu3pqFsZF6MktqaOipoWwQC+lw1FUc2sHWXlVDIsL6nfJeUhsIFsOFJB+9gK3JoYqHU6/0+dnSJKMhDU0t3aQW1JHlEq66y6JDdej0VwcWdbfHcoqp9NkId5JqzNcS6xBj5eHC9sPFSodSr90zVvUe++9l6+//hqAO++886p3Szt37rR6YMI5ncqtwmS2EKmS7rpLPNxdMAR5k1daz1iF50YpbV9GKX7ebhj6YX0/F52WscMM7E4vkcnSCrhmQvrtb3/b9fMf//hHmwcjnN+JMxdwddFiCFbfl11chB97M0qpa2zDz8dd6XAU0drWydHsCsYPN/S77rpLxo+I4NujRew6UcJ9d/QsTyZs55oJadSoUV0/jx492ubBCOd34kwFg6MDcNHZbbHiPouL0LM3o5S80npGDu6fo6yO5lTQ3mHitiFhtLT1z6oFMeG+xBr0bDtUKAnJzvr8rfDhhx9y+vRpAE6cOMHkyZO5++67r7oukRDfV1nbQlF5I0Pj+l5U1578fC7WbOvPz5H2ZZTi6+XG4Gh/pUNRjEajYcrt0ZwtqqXgXxVFhH30OSF99NFHREZGAvDGG2/wwx/+kJ/+9Kf87ne/s1lwwrmkn70AwLDvlehRk/gIPcbKJlr7YeugvcPE4axyxiaHo9OqrwVrT3fdFolOq2H74SKlQ+lX+vxX19DQgK+vL42NjeTk5PDoo48yZ84c8vLybBmfcCInzlzA38edASob0HC5uAg/LEB+P7wzPnHmAi1tnbJQHRdby7cPDWPH0SI6TVdeVkdYX58TksFg4NixY2zatIlRo0ah0+lobGzsWpZciGuxWCycOHuBEYNC0Kr4YXlIgCfenq7klfa/hLQ3oxRvDxdGSJUCAO65PZrahjaOni7v/WBhFX2emfjCCy+wcOFC3NzceOeddwDYsWMHKSkpNgtOOI/CsgZqG9oYMShY6VCuSaPREGfQk11QQ3uHSelw7Kaj08zBzDJGDwvH1aV/d9ddcltSGAG+7nxzqJAx/XwqgL30OSHdeeed7Nmzp9u2GTNmMGPGDKsHJZxP+rmLz48c4e47foAfp3KryMytIjJMXRN4beXkuUqaWjoYL911XVx0WqbcHs3nO89RVddCkF//KaOklOu6FWpoaCAjI4P9+/ezf/9+jhw5wpEjR2wVm3AiGWcrMQR5E+oAZXkiQnxwd9VxLKdC6VDsZm9GKZ7uOm6RcjndTB0djdls4dsjMrjBHvrcQvr888957bXX8PLywsPj3+ujaDQatm/fbpPghHMwmcycOl/JhJEDlA6lT3RaDXERek6cvUCnyazKOVPWZDKZ2X/SyO1Dw3FzlWfCl4sI8SE5IYhvDhby0F2D0ErBVZvqc0J66623ePvtt7nzzjttGY9wQudL6mhq7WT4QHU/P7pc3AA/sgtqOHmu0ulbDadyq2hobpfuuquYNiaGN/92jFO5lQwfqP4uZ0fW51s/k8kkK8KKG3JpddYUB0pI0WG+uLlq2X/SqHQoNrc3oxR3Nx23DnHuxHuj7hgegbeHC1sPSMFVW+tzQlqwYAF//vOfMZtlTL64PulnLxAT7kuAr+Mshe2i05KSEMyBU0bMZkvvb3BQJrOF/SeNjEoKw8NNPcuBqIm7q47Jt0Wx72QpDc3tSofj1Pr8F/jRRx9RWVnJ//zP/+Dv799tn1T7FlfT0WkiK6+a6WNjlA7lut02JJSj2RXkFNSQpNJyR9ejobmdltbuFShyCmuobWgjJT6Iiurmru1t/WjIe19MGxPDxr157DhaxAMTE5QOx2n1OSFJtW9xI3L+NZ/HkZ4fXTJ8YAguOi37TpY6RUJqae3sMXJw14kSdFoNJoul277EmAB7h6dq8QP8GBjpx9YDBcycEN9vK6HbWp8TklT7Fjci/WwlWg0kJzheQvJ0d2Hk4BD2nzTy45nDnO5LyGKxkFtSR3S4L24uMrquNzPGxbJibTrZ+c7RYlajPj9Dam9v56233mLKlCncdtttAOzZs4dPPvnEZsEJx5dx7gIJkf74eLoqHcoNGZdioLy6mfMlzlcB3FjVRFNLBwMj/ZUOxSFMuiUST3cXvt4v9Tttpc8J6Xe/+x1nzpzhT3/6U9ed4qBBg/j73/9us+CEY2tt6ySnoMYhu+suGZtsQKvVsOdEidKhWN25olp0Wg2xEXqlQ3EInu4uTL4tkj3pMrjBVvqckLZt28Ybb7zBLbfcgvZfpenDwsIoL5fCg+LKMvMuLlc+3AHKBV2N3tuNkYNC2J1eisXiPKPtzBYL50vqiDXopbvuOtw7LpaOTrNUbrCRPickV1dXTKbuI2+qq6t7jLgT/VdDczsV1c1dr/0njbjoNIT4e3bb7mgjuCaOjKCiupmzRbVKh2I1xgtNNLd2MjDKX+lQHEpchB+J0QFs3p/vVDcoatHnhDRjxgxefPFFioou3hlUVFTw2muvcf/999ssOOFYLo3iuvQ6ml1BaIAXmblV3bY72voyY5MNuOg07HaibrtzxbW46LTEhPeP4rHWNGNcLMUVjZzKrVI6FKfT54S0aNEioqKieOCBB6ivr2f69OmEhITwzDPP2DI+4aBa2zqprG0hUsWL8fWVj5cbtySGsie91CkmyZrN/+6uc5Xuuus2YeTFyg2b9+crHYrT6XNCKiwsJC4ujieffJKf/exn/OMf/+DXv/41bm5ufXp/Xl4ec+fOZfr06cydO5f8/Pwex+zZs4fZs2eTnJzM8uXLu+0zmUwsXbqUe+65h6lTp7J27dq+hi4UUHKhEYDIUOe4A58wYgCVtS2cKaxROpSbVnKhkZa2TgZG+SkdikPycHPhrlFR7MsopbahTelwnEqvCclisfCrX/2KmTNn8pe//IUdO3awdu1aZs2axa9+9as+96MuWbKEefPmsWXLFubNm8crr7zS45ioqCiWLVvG448/3mPf+vXrKSwsZOvWrXz66ae8++67FBcX9+nawv6KKxpxddE6xHITfTE2+eLCdc7QbXeuuBZXFy0x4TK67kbdOy6WTpOFbw4VKB2KU+k1IX366accOnSITz/9lB07dvDpp5+yc+dO/vGPf3DkyBH+8Y9/9HqRqqoqsrKySE1NBSA1NZWsrCyqq6u7HRcTE0NSUhIuLj3n627atIk5c+ag1WoJDAzknnvuYfPmzT2Oq6+vp7i4uNurrKys1xiFdRVXNBIR7I3OScr1e3m4ctsQx++2M5kvToaNNeidflmNG9VpMncbhHOll4ebC0PjAtl8oACTA/89qE2vlRrWrVvHyy+/zPDhw7ttHz58OC+99BJ/+ctf+MEPfnDNcxiNRsLCwtDpLvZX63Q6QkNDMRqNBAb2bcaz0WgkIuLf5fENBsMVE83q1atZsWJFn84pbKOxuZ3axjaGxQcpHcpNufTFdMnwgcEcOFXG3oxSEqP/XVrH08MFX6++dV0rrbi8gdZ2E4NkdN1VtXWYuirUX8ukkQN4/4uTHM+pYFRSmB0ic369JqTz589z++23X3Hf7bffzgsvvGD1oG7GY489xqxZs7ptKysrY/78+QpF1P8UV1x6fuTYAxq+/8Vk4WIV8I1782hq6ejafmtiqMMkpJzCGtzddETL6LqbdktiKAG+7mzcmycJyUp6bbObTCZ8fK78xeLj49On5SgMBgPl5eVd85hMJhMVFRUYDIY+B2owGCgtLe363Wg0Eh4e3uM4vV5PZGRkt9eVjhO2U3yhEQ83HUF+jrPcRF+4ueiIi9BzrqgWk4MNXQdobe8kr7SegZH+6LTSXXezXHRapo2J4Wh2OeWXtaTFjev1r7Kzs5MDBw6wf//+K76+P1n2SoKCgkhKSmLDhg0AbNiwgaSkpD5318HFeVBr167FbDZTXV3Ntm3bmD59ep/fL+zDYrFQXNHIgFAfpytGCpAYHUBbh4mCsgalQ7lux3MuLsk+ONpf6VCcxvSxsWiALQfylQ7FKfTaZRcUFMRLL7101f19TSqvvvoqixcvZuXKlej1+q5h3QsWLGDhwoWkpKRw5MgRnnvuORobG7FYLGzcuJFly5YxceJE0tLSSE9PZ9q0aQA888wzREVF9enawn5qG9toaulwmuHe3xcV5ounuws5hTXED3CsYdMHThnx9XLDEOStdChOIyTAk9uHhrP1YAE/mJYo87puUq8J6dtvv7XKhRISEq44d2jVqlVdP48aNYpdu3Zd8f06nY6lS5daJRZhO87y/OhqtFoNg6L8OZVbRWt7p8OsslrT0EpmXhW3JoY6ZctVSffdEcfBzDL2ZRi589ZIpcNxaNKRLKyqqLwBXy9X/Lwd4yH/jUiMCbhY7aDYcZak2H28BIsFBkfLwnvWcmkUZkSIN6EBnqzbdf6qw8SlOnjfOMbtnXAInSYzxRWNDIryd+q78BB/TwJ83ckprHGYoe07jxUTHeZLoN65Bpoo6fJRmAmR/uw/aeSbQwUE+Xn2ONaRRmIqSVpIwmpyS+ro6DQ7/ZBijUbD4OgAjJVN1Dep/8635EIjZ4tqGZsso01tJSk2EJ1WQ6YUXL0pkpCE1ZzKrUKjgcgQ505I8O+uL0eobbf9cCFaDYweKgnJVjzdXUiI9Ce7oIb2TsdaXkVNJCEJq8nMrSIs0At3N+cfaaT3diMi2JvT+dWqXhfHZDKz/XARtw4JI0C662wqOT6Ijk4zZwtrlQ7FYUlCElZR19hGgbGe6DDnbx1dMjQukPqmdnJU3Eo6mlNBdX0r08ZEKx2K0wsP8iLIz4NTuZWqvklRM0lIwirSz17AwsV5Ov1F/AB/3FzVXQH8m4MF+Pu4c7t019mcRqMhOT6IytpWqdxwgyQhCas4llOBl4eL0yw30ReuLloGRwdw5HQFjSoc1ltT38qhrHLuHhUllb3tZHB0AK4uWhnccIPkr1TcNIvFwvGcCwyNC0LrxMO9r2RobCCdJjPfHVPf2lzbjxRhNluYKt11duPmqmNwdABni2ppbe9UOhyHIwlJ3LTCsgaq61tJdpA5OdYUEuBFTLgvWw4WqOq5gcVi4ZuDBQyLD3LaMk5qlRwfhMlsIadAvc8W1UoSkrhpx3IqABxmkqi1TRw5gLzSelVVbsjMraK0sompo6V1ZG/B/p6EBXpxKrdKVTcpjkASkrhpx3IqiArz6bdVAMYMC8fNVcfWg+pZznrLwQK8PFwYPzyi94OF1SXHB1Hb0EZpZZPSoTgUSUjipjS1dHDqfCWjkvrvKC4vD1cmjIhg57Fimls7en+DjVXXt7LnRAl3j4rCw12qgylhYJQ/7q46GdxwnSQhiZtyNLucTpOFMcP6b0ICuO+OWFraOtl+uEjpUNi0Lw+T2cLMifFKh9Jvuei0JMYEcL64ThU3KY5CEpK4KQdPleHn48aQ2L4vtuiMEmMCSYwOYMOeXMxm5Z4btHeY+HpfPqOHhhMR7JxLgDiKYfFBmC0WsvNlcENfSUISN6yj08yR7HJGDw1Hp+1fw72vZObEeEormziaXa5YDN8dK6a+qZ0HJknrSGmBeg8igr3JzKvCLIMb+kQSkrhhp85X0tza2e+76y4ZPyKCQL0HX+3OVeT6FouFr3bnEmvQk5IQrEgMorvkhCDqm9rJyqtWOhSHIAlJ3LCDmWW4ueoYMThE6VBUwUWn5f7xcZw4c4GCsnq7Xz/jXCX5xnrSJsU79XpUjiQ+wg8PN50qJ06rkSQkcUMsFgsHM8u4ZXCIwyzjbQ/Tx8bg5qJlvQKtpHW7zuPn48akW2QZbbXQ6bQkxQZy4swFqupalA5H9SQhiRtyvqSOytoWWfTte/x83Lnz1kh2HC226+J954trOZxVzv13xOHm6vzLfziSS4MbvjlUqHQoqicJSdyQg6fK0GqQKtJXkHZnAu0dJtbtOm+3a67Zko23pyszJyXY7Zqib/x83BkWH8SW/fmYTGalw1E1SUjihhzMNDIkNhA/H3elQ1GdmHA9E0ZEsH73eeoa22x+vZyCag5nlTN78kB8PF1tfj1x/SbfEkllXStHsyuUDkXVJCGJ61ZyoZG80nrGJhuUDkW1fjAtkdZ2E1/sPGfza63emIWPlytjk8OpqG6+6qutQ5bWVsrwQcEE6t3ZtC9P6VBUTZ5Gi+u240gRWg1MumWA0qGoVnS4nkkjI9mwN48H7xyIv69tWpKnzldy8nwVdww39Dq0ODEmwCYxiN656LRMHRPD/207Q1lVE+FB3kqHpErSQhLXxWy2sONYMSMGhRDk56l0OKr28LTBdHSY+GzHWZuc32Kx8MnmbPx83EiOl3lHajdjbCwajYbN+/OVDkW1JCGJ65KVV0VFdTN3jYpSOhTViwz1ZfJtUWzam0d1favVz3/glJHM3CruvyMOVxf5T1ntgv09GTMsnK0HC2mX7tMrkr9icV12HC3Gw03HOHl+1CcPT02k02zhk69PW/W8jS0dvP95BvERftx5q8w7chT3j4+jobmd3SdKlA5FlSQhiT5r6zCxJ72EO4ZHyLIGl+k0ma86kECn1TBjbAzfHCpk59EiGpqtMzfpw/WZ1Da287O5I3HRyX/GjmL4wGAiQ31kcMNVyLeK6LNDmWU0t3Zy923SXXe5tg4TGecqr7o/KswXfx93/t+Xp1g+wB9fL7ebul762QtsPVjAQ3cNZGCkPxXVzTd1PmE/Go2G++6I4/99eZKzRTUMipKBJpeTWyvRZ98eKSLIz4PkgfIA/Xq46LTcdVskDc3tfH6Tw8Bb2ztZsfYEhmBvfjB9iJUiFPZ096goPNx0bNwrraTvs1tCysvLY+7cuUyfPp25c+eSn5/f4xiTycTSpUu55557mDp1KmvXru3a9+677zJu3DjS0tJIS0tj6dKl9gpdALUNbRzLqWDyrZGy1MQNiAjxISUhiO2HC8nOv7HKz2azhff+mU5ZVTM/mzMSdykR5JC8PV2567Yodh8vsWt5KUdgt4S0ZMkS5s2bx5YtW5g3bx6vvPJKj2PWr19PYWEhW7du5dNPP+Xdd9+luPjfVXIffPBB1q1bx7p161iyZIm9QhfA1oMFmM0W7pbRdTdsbLKBAL0Hr39y5Ia62T7amMXOo8U8cu8QUqSV6tDuHx9He6eZLQfylQ5FVeySkKqqqsjKyiI1NRWA1NRUsrKyqK7ufqe4adMm5syZg1arJTAwkHvuuYfNmzdf17Xq6+spLi7u9iorK7PaZ+mPOjpNrN+Ty62JoUSH65UOx2G5uep49j9G0NzSwa/f33td1Z+/2HmOL3ae4/7xcfznlME2jFLYQ4xBz8jBIWzYk0tHp9S3u8QuCcloNBIWFoZOd7GLQafTERoaitFo7HFcRERE1+8Gg6FbMtm4cSMzZ87kxz/+McePH7/itVavXs2UKVO6vebPn2+DT9V/7DxaTG1DG7MmS+HOmxVj0LP0J+Ooa2zn13/eS00v85MsFgub9uXxwfpMxg+PYMGDKbLWkZN48M4EquvbZAj4ZRxmlN3DDz/MU089haurK3v37uXpp59m06ZNBAR0H6Xy2GOPMWvWrG7bysrKJCndIIvFwhffnScuQs+IQbIQnzUkxgSy5ImxLFm1n8Xv7eG/7hvKuBQD2u89myuuaODPn2WQca6SkYNDeG7erfL8zkFdmhpwucgQHyKCvfns27MMiwtEo9Hg6eFy06MwHZldEpLBYKC8vByTyYROp8NkMlFRUYHBYOhxXGlpKcOHDwe6t5hCQv79ZTh+/HgMBgNnz55l9OjR3c6h1+vR66VbyVqOZldQVN7Ac/NulTtzKxoWH8SrT4zl3f87wR8+PkxkqA8PTIzH3U1HXWM7xqomvjlYiLubjqf/YwTTx8T0SFjCcVxtakBiTAA7jhazYU8eA0J9uDUxVBKSrQUFBZGUlMSGDRtIS0tjw4YNJCUlERgY2O24GTNmsHbtWqZNm0ZtbS3btm1jzZo1AJSXlxMWFgbA6dOnKSkpIS4uzh7h92tf7DxHkJ8HE0dKIVVrS04IZuWLU9iXUcra7WdY+VlG1z4XnYYJIwfw45nDCPD1UDBKYUuDowM4cKqME2cvMCDUR+lwFGe3LrtXX32VxYsXs3LlSvR6PcuXLwdgwYIFLFy4kJSUFNLS0khPT2fatGkAPPPMM0RFXRzV9eabb5KZmYlWq8XV1ZXXX3+9W6tJWN+54loyzlXyo9ShUg3ARnRaDRNHDmDCiAgKyhpwc9Hi5+OOl4eLtEj7ARedlmHxQRw5XU5tg+3XzlI7uyWkhISEbvOKLlm1alXXzzqd7qrziy4lMGE//9iag6e7C9PGxioditPTaDTEGqSruT9KSQjieE4Fx89U9PtpFQ4zqEHY14kzFRzMLOO/7kuSVUgV0NDcTktrZ5+OlYX3HJuXhytD4wLJzK2msq6F0EAvpUNSjCQk0YPJZGbVulOEB3mRNkmGeiuhpbWTYzl9W+5aFt5zfLckhpKZW83X+/IZGhekdDiKkQcDoofN+/MpLGvgxzOH4SblaYSwOV8vN4bEBrAnveS6Jkw7G2khiW4amttZsyWb4QODGZtskK4jIezktiFh5BTU8NmOc/zkwRSlw1GEJCTRzd82Z9PU0tFVEUC6joSwD723G+NSDGzZn8+cuwcRoO9/w/2ly050OZZTwYa9edx3R5yM+BJCAffdEUenyXzTy5Q4KmkhCQBq6lt562/HiAn35YczhykdjtO6UgmZK5Huz/4pLNCLu0ZFsXFvHqkT4gnrZyPuJCEJzGYLb/7tGM1tnfz3T++QdXZsqLfVZS+R7s/+65EZSew+XsL/bjrNLx+5Telw7Eq67ASf7TjLibMX+MmDKcTI8hJCKCrY35MHJw/ku+PFnCmsUTocu5KE1E81NLdTUd3MNwcL+OTrbEYPDWPkoGAqqpu7vaTrSAj7e+iugfj7uPPB+kwsFovS4diNdNn1Uy2tnWzcm8e6XecJ9vdgxKAQjp+50OM46ToSwv68PFyZNz2RlZ9lcOBUGeNSDL2/yQlIQuqniisa2bg3D18vN1InxMsEWCFU4PJBLyMHh2AI8uavX50iOswXV5fuHVrOuHaSJKR+yFjZxFt/P4aLTsPMifF4usufgRBq8P1BL6OSQlm/J4+/fnWK0cPCux3rjGsnyTOkfiavtI4XV+ymw2Rm5sR49N7O9QcthDOJDtczONqfo9kVVNVde7l7ZyAJqR/JyqviVyv3otVqWPzoKIL8PJUOSQjRiwkjBuDmqmXH0SLMTj7AQRJSP3Eoq4zf/GU/ft5uvP7sRCJCZHVKIRyBp7sLE0YMoLy6mVPnq5QOx6YkITk5i8XCP789y39/cJCoMB+WPzuxX6+3IoQjGhztT3SYLwdOGalvalc6HJuRhOTE2jpMvLHmGKs3ZjF+eAR/eGYC/r7uSoclhLhOGo2GO2+NRANsPViAyWxWOiSbkITkpIyVTby4YjffHS/m0XuTeOHRUXi4yWg6IRyV3tuNu0ZFUV7dzP6TRqXDsQn5hnJCe9JLePf/TqDRaPjNj8f0GC4qhHBMAyP9KU1oJP1sJcdzKpg+LlbpkKxKEpITqaprYfXGLHYcLSY+wo8nZ6cQ7Od5xerSUhJICMc0fngE5dXNfLAhkxGDQwgP8lY6JKuRhOQkzhbV8Mf/PYqxqomRg0IYmxJOYVkDhWUNVzxeSgIJ4Zh0Oi3Tx8bwz2/P8dpfD/CHZyY6zXxCeYbk4DpNZv6+JZtfvrOb1vZOHpgYz/gREei08k8rhLPSe7vzszkjKKtq5rW/HqC1rVPpkKxCvrUc2JnCGha99R1/25rDpJEDWLpgHFFhvkqHJYSwg8SYQH45/zbOFtbwh48P02ly/JF30mXnAP62JZu1288wZ8pgAP5vWw6X/vYC9R5MGBGBIdibhW/uRKuB24aEcfh0OVoNmC3g6qKlo9OMj6crjS0dPc4fEexNaWWTPT+SuIZL/27AVf/NhHP4/r9vQqQf54vrrnr85X8bgXp3Vi+ZwU8fGsF7/0znzb8dY9EPbu1RhNWRSEJyAH/fmtPtfy+3dMFYfvbGzq7fzRY4fLq862eAjs6L2etqX2ySjNTFfFl1GElGzu37/77XSkbQ/W+jur4NgBnjYmlq6eCjjVnUNrTx0g9vx8dBi646bioVAGQX9K8VJYUQPT109yCem3crp/OreGHFbsqvMLLWEUhCUrlT5yt7P0gI0e/ddVsUr/3kDqrr2/j/3v6OvRmlSod03aTLToVMJjOHsspYvzuPk5KQhBB9lDIwmD/+bCJ/WnOUP6w+zLgUA0/OSnGYyv6SkFTEWNnEzmPFbDmQT1VdK8F+HjyRlsz/rDuldGhCCAcRFebLmz+fxBffnefvW7J55uwFUifGc/8dcQToPZQO75rslpDy8vJYvHgxtbW1+Pv7s3z5cmJjY7sdYzKZ+O///m92796NRqPhJz/5CXPmzOl1n6Pq6DSTW1LL0ewK9p80km+sBy6uBPnU7OHcnhSGTqeVhCSEuC46nZb/uHsQd6QY+GB9Jv+37QyffXuOybdGMuX2KIbEBuKiU98TG7slpCVLljBv3jzS0tJYt24dr7zyCh9//HG3Y9avX09hYSFbt26ltraWBx98kHHjxhEZGXnNfWpnsVioa2yn5EIjJRcaKa5o5ExhDWcLa2jvNKPRwNC4IB5/IJlxKQbCZHkIIYQVRIT48PKPx1ByoZF1u86z/XAR2w4X4uXhwohBIaQkBBMd5ktkmA+Beg80Go2i8dolIVVVVZGVlcWHH34IQGpqKr/97W+prq4mMDCw67hNmzYxZ84ctFotgYGB3HPPPWzevJknnnjimvsuV19fT319fbdtJSUlAJSVld1Q/HVNbRw4WYbJbMZiAQsWzGawmC2YLRY6TRY6TWY6TWbaO0y0tnXS2m6iqbWD+qZ26pvaMV82XlOn0xIV6sO4If4MigxgULR/V+mPjuZqipuru12/43u/X67qQtk19wshnFdxcXGfj31gTBBTR/hxOr+aU7mVnDx9nl0HM7v2e7jp0Hu74+vliq+3Gx5uLri5anFz1eGi06LTatBpNQyKCiApLvAaV+pdeHg4Li49049dEpLRaCQsLAydTgeATqcjNDQUo9HYLSEZjUYiIiK6fjcYDF1J5Fr7Lrd69WpWrFhxxTjmz59vlc9jDeeAHVY4z2vfWuEkQgiHNOXbPygdwg3Zvn37FXu3nG5Qw2OPPcasWbO6bWtvb6eoqIjY2NiupOgIysrKmD9/PmvWrCE83LmXkOgvn1U+p/PpL5/Vmp/zau+3S0IyGAyUl5djMpnQ6XSYTCYqKiowGAw9jistLWX48OFA91bRtfZdTq/Xo9fre2yPj4+39seym/DwcId4VmYN/eWzyud0Pv3ls9ryc9plmEVQUBBJSUls2LABgA0bNpCUlNStuw5gxowZrF27FrPZTHV1Ndu2bWP69Om97hNCCOH47NZl9+qrr7J48WJWrlyJXq9n+fLlACxYsICFCxeSkpJCWloa6enpTJs2DYBnnnmGqKgogGvuE0II4fjslpASEhJYu3Ztj+2rVq3q+lmn07F06dIrvv9a+4QQQjg+9c2MEl30ej3PPvvsFZ+JOZv+8lnlczqf/vJZ7fE5NRaLxdL7YUIIIYRtSQtJCCGEKkhCEkIIoQqSkBzMwYMHSUpK4pNPPlE6FJtYunQpM2bM4IEHHuDhhx/m5MmTSodkNXl5ecydO5fp06czd+5c8vPzlQ7JJmpqaliwYAHTp09n5syZPPvss1RXO3d5qxUrVpCYmMiZM2eUDsUm2traWLJkCdOmTWPmzJn85je/scl1JCE5kMbGRv70pz8xadIkpUOxmUmTJrF+/Xq++uornnzySRYtWqR0SFZzqcDwli1bmDdvHq+88orSIdmERqPhiSeeYMuWLaxfv56oqCj+9Kc/KR2WzWRmZnLixAkGDBigdCg288c//hF3d/euf9Of//znNrmOJCQH8oc//IHHH3+cgIAApUOxmbvuugtXV1cARo4cSVlZGWazWeGobt6lAsOpqanAxQLDWVlZTtly8Pf3Z8yYMV2/jxw5ktJSx1u9tC/a29t57bXXePXVV5UOxWaampr48ssv+fnPf95VDTw4ONgm15KE5CC+++47GhoamDFjhtKh2M2aNWuYPHkyWq3j/5leq8CwMzObzfz973/n7rvvVjoUm3j77bd54IEHnLpkUFFREf7+/qxYsYLZs2fz6KOPcuTIEZtcy+mKqzqqWbNmXfUucvPmzbzxxhtdy3c4smt9zn379nV9YW/cuJH169ezZs0ae4YnrOy3v/0tXl5ePPLII0qHYnXHjx/n1KlT/PKXv1Q6FJsymUwUFRUxdOhQXnzxRdLT03nqqaf45ptv8PHxseq1JCGpxBdffHHVfUeOHOHChQtdK+TW1NSwY8cOamtrefbZZ+0VolVc63Ne8s033/DWW2/x0Ucf2axrwN76WmDYmSxfvpyCggLef/99p2jlft/hw4c5f/48U6ZMAS5Ww3788cf5/e9/z4QJExSOznoMBgMuLi5d3c0jRowgICCAvLw8UlJSrHsxi3A4L774ouV///d/lQ7DJr799lvLXXfdZcnPz1c6FKt75JFHLF9++aXFYrFYvvzyS8sjjzyicES288Ybb1geeeQRS3Nzs9Kh2M1dd91lycnJUToMm/jRj35k2b17t8VisVhyc3Mto0ePttTV1Vn9OlKpwQEtXryY5ORkp+wGGTt2LK6urt0qwX/00UdOMZDj/PnzLF68mPr6+q4Cw468LMrVnD17ltTUVGJjY/Hw8AAgMjKS9957T+HIbOvuu+/m/fffZ/DgwUqHYnVFRUW89NJL1NbW4uLiwi9+8QvuvPNOq19HEpIQQghVcL6OXSGEEA5JEpIQQghVkIQkhBBCFSQhCSGEUAVJSEIIIVRBEpIQQghVkIQkhBBCFSQhCSGEUAVJSEKoWGFhIaNHjyYzMxOA8vJyxo4dy8GDBxWOTAjrk4QkhIpFR0fzy1/+kueff56WlhZeeuklZs2a1W29ISGchZQOEsIBPPXUU5SUlADw2Wef4ebmpnBEQliftJCEcAD/+Z//yZkzZ3j00UclGQmnJS0kIVSuqamJtLQ0xowZw65du1i/fj3+/v5KhyWE1UkLSQiVW7ZsGcnJySxbtozJkyezZMkSpUMSwiYkIQmhYtu2bWP37t28+uqrwMW1sLKysvjqq6+UDUwIG5AuOyGEEKogLSQhhBCqIAlJCCGEKkhCEkIIoQqSkIQQQqiCJCQhhBCqIAlJCCGEKkhCEkIIoQqSkIQQQqiCJCQhhBCq8P8D29PC2CbJt+YAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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kdeFZmd6suq6JPHMVGW/t4atsC7OnDmLk4Ji2Yfrf//r+sPyuSojVUVXbREV1YzddgXfzuFF2QrjaldaTqm9sYfm7X6FSqfj5A0OpqWu+7g+xzorSB/LCz25n0ZpdPPtfu1uHKsvouyvKN1fx8oavqahu4M5bTYQG+11xaZYrDcvvjHijjs8Pnie3qKrLzzT1RhJIwmW6slAguM9igZdbT8rpdLJtdy6W8lrSxiWSX1xNfnH1dX+IdYUxIogXHmsNpd++uZsV88fKc0qXcfRMGS+++xXNLQ6mje3vktkvggN9iQwLIMfcOkuHuDIJJOEyXVkoENx/scCvsovJNVcxbngf+kQp1zKJiw7h+Z/dzuI/fslv3/yS380fe8WJQHubpmY77+84xf98eppofSB3jYgjLNjv6m/sJvGxOvZnF1PX0NypOfF6M7mHJMQ1OHvexoFvi0mO1zMk0aB0OfTvE8qyebdRWdPEb//4JRVVDUqX5Ba+zbHyyz98xn/vOMWEW0wsnjvSpWEEkHDhIVuZSujqpIUkrktXuuFcdW+lp5VX1rPjqwKi9YGMv7mP24yeSuqnZ+m828h4aw+/fXM3Lz3+A0Jd/OHrLopKa/jbxyf5/JtCIsMCWDZvDLcMirqmqYCuV0RYAMEBPuQWVckM4FchgSTaOJ1OvjlRQp6liqLyWixltdQ2NKML8iMs2I/wED8iwwOI1gcSrQ8iXOdHU5OdM+dtnZqNwJX3VnpKQ1ML23bn4uujZuqYeLQa13YytNgdV/xQjQgN4IkHh/P6ewd5+o0vWf7Y7YT3opvphSXVbPrkNJ99XYBWq2H6HQP40ZQkAvyU+6hTqVTEG3WcyKugxe5w+e+MJ5FAEgBU1jTyxcHz5BdXE+CnxRgRREKfUIIDfKiqbaKyppHTBTZ2Hy2ixe7s8H6tRoVGo8ZHo0arUePj0/q9r4+G4AAfQgJ9qalroqnFQXiIn9u0KrrC4XDy8b58auqauf+OREWWqm5stnPkzNWfcbr79niy9uSxcPUunn/sdqK9eKBDi93BvmMWtu3O4ciZMny1aqaNS+SHdw5wmzCON+o4dq6c8yU19JMJVy9LAqmXczqdHDpVyr7jFtRqFelTknhwchIa9aUDw+FwYq1qoNhah62mkfMlNZzKr6Cp2U6L3UGz3UFLi4PmC1/VdU2Yy2tpbLKz55gZAF+tmih9IH0ig4k36jCE+rt9QDmdTj4/WEh+cTUTbjFhjAhSuqQrMkWF8J+zbmHl+4f4zaqdPP+zMfSN8a4PwpyiyrbFDCuqG4kMD2D23YOYMrof4SHuEUQX9YkKRqtRk2OukkC6AgmkXu7bXCu7j5qJN+q44+Y+jL/ZdNkwAlCrVUSEBbTNYFxirUMXdPWRcE3Ndgyh/uzPLsZircNSXsu+4xb2HbcQHOhDQmwoA01hxBgC3TKcvj5RQnaOlVuSorixv/KDGDojsU8YL80fy5L/2s2iNbtYOGckw26IVLqs62KrbuTzg4V8sj+fnKIqtBoVI5KjmTyqH7cmR1/xd1dJWo2avjEh5JmrcDqdbvk77g4kkHqxiuoGdh4qok9kMPfcHt+j/0h8fTTERgYzKL6ZQRdu7NY2NJNnriKnqIrsc+UcPVNGSKAPA+PCGBgXjtPZsWtQCbsOF7HvuIUb+oZz202eNXN8vFHHil+M4/k/72PJW7uZe+9gpk8Y4FEfiHaHk6+/LWb7vjwOfFuM3eFkQFwYP5s+hHHD+3jMwI24qGDOna+kqrbJY2p2NQmkXsrucPDxV/loNComjeqryAdUkL8PgxMMDE4w0NRsJ6eoktMFNg6dKuWbk6V8cfA8d46IY9zwWExRyizh/eXhItZvy8YUFcxdI0we9UF+kTEiiFcWjGPl+4d4JzObUwU2npgxnCAF7oF1hbWqge378vhobx5ltnrCQ/xIG5/IXSPj6OeB3Y8Xu3nN5bUSSJchgdRL7TtmobSinrvHxCtyc/77fH00JPXTk9RPT31jC2cLbZjLa/nb9hP89aMTxEWHcPtQI7cPiSUhVueSYPjwyxz+659HSOwTyp23Xvsie+4g0N+Hhf9nBP/87AzrPswm+1w589KGMHZ4z8xKfj0OnSrhwy9z2J/d2hoanKDnwYkDGTYwsm2E2ndHGrrLjB5Xo9f54+ejwVxWy6B+Mvz7UiSQeiFLeS0HT5VyY38D/fuEKl1OBwF+Wm5KjOD/3DMYjUbF7iNmdh8tYtOOU7z/8SkiwgIYNTiaUTfGMCQxAl8fTbee3+l0sjHrBO/vOMXoG2P4yb2DOXauvFvP4QqXGiI+dlgfTJHBrP/Xt7y84QCZX+r58eQkYiODFf1gt9sd7D5qZuvOc3yba8VHq+bG/gaGJEYQFtLamrjc6MKhAyI84lk4lUpFjCEQc1mtYjW4OwmkXujQqVL8fTX8YGjXVuxVgiE0gGnj+jNtXH8qqhs4kF3MvuMWPjlQwLbdufj7ahh+QyQjB8cwIjn6uiewLK2o560PjrD3mIUpo/vx+A+HUl7pmbMeXGmI+D0/SODY2TL2HrPw7Ft76BsTwoy7BnLHLa7tlqysaWTHV/lkfplDma0eoyGIH01OIiTQp9P/0ejsUHhQ/lk4Y0QQeZZq6hs7P6djbyKB1MvU1DVxrqiS4QMj8dF2b8uip4WH+DN5dD8mj+5HY7Odo2fK2J9t4avsYvYeswDQLyaEYQMjuSnRQLxRd9lutu+3BppbHGz+4izvfXwSpxMeSvW8m/9doVapGDogkoFx4Rw7W87Rs2W8+tdveO/jU4wZYmT0jTEM7BvebaPWvjujh8PhJDvXyhcHCzl0qhS7w8mg+NaW2tABETTbHRz3wBZpZ1y8j2Qpl1bSpUgg9TLHz5XjdMJNiRFKl3Jd/Hw0jEiOZkRyNI890DrDRNbeXHLNVWzZeY4tO8/hq1UTGxlMbEQQep0/+lB/ggN8UKlUDL8hEo1axZEzZRz4tpj92cVYqxq47aYY5qUN6TUzZgf4aRk5OJqbkyJpbLLzzckS/vnZGf7n09Pogny5oW84A+PCGBAXRlxUCFHhAWiuYaaBkvI6tu3JIddcTb6lioYmO/6+Gm5KjGBwgh69zh+H08mh06WKt2J6UlR4IGq1SrrtLkMCqRex2x0cz7ESb9R16tkhT6FSqYiLDuHWQdHcOiia+sYWCktqKCypprCkhtzvLF6nVqlw4uS7I8oD/LTcnBTJlNH9uHVQtAJXoDytRs2o4TH88K6B1NQ3882JYr45WcLpAhvfnCjGceHPS6NWEa0PJCo8kDCdH+Eh/oQE+uDno8HHR4NGraK+sYXa+mZq6pspLK4mz1KFtap1gTp/Xw39YnQkxOpaW7C9bBodrUZNVHgAZmkhXZLLAiknJ4dFixZhs9kICwtjxYoVxMfHt9tn165d/OEPf+DUqVPMmTOHhQsXtm2z2+288MIL7Ny5E5VKxaOPPsqMGTNcVb5XOHu+kvrGFoZ4eOvoagL8tBeeZQoDWhfRq6hqwFrVQHVdEyqVij6RwYSF+JHUL5zkeINLVnl1d98dBDGon75tJFhDUwsFxTVYymspqaij2FpHZW0TReW1VFQ10NziuOTxLk5BNfyGKCJC/WmxO4k2BKL20m7QzjIagjh8uowmL5lsuDu5LJAyMjJIT08nLS2NzZs3s2TJEtavX99un7i4OJYvX05WVhZNTU3ttm3dupX8/Hy2b9+OzWbj/vvvZ8yYMZhMJlddgsc7eqaM0GBf4qJ716qiAX5aAiKD262mektSVK/pluusqw0OCArwISEglITY0LY/P6fTSWOznZYWB00trdNGBfprCfD3aXf/qcRa16W1sLyZMSKIg6dKyTVXYXLBIoGexCX/LSwvLyc7O5vU1FQAUlNTyc7Oxmq1ttuvX79+JCcno9V2zMlt27YxY8YM1Go1er2eSZMmkZWV5YryvUJpRR0Wax1DEiO89ka9cD2VSoW/r5bgQF/0On+i9IEEB/q67RQ+7sBoaB3YcLrApmwhbsglLSSz2Ux0dDQaTeuoLo1GQ1RUFGazGb2+cw+Imc1mYmNj2342Go1YLJYO+1VVVVFVVdXutUvt58m6uhR4Y7Od4zlWtBr1VR/Iu9ryBpc6dk/pSi3estaSp3Cn3xNP4++nJVznJ4F0CV43qGHdunWsXr1a6TJ6VFeXAr+hbxh55ir6xoTg53vlod5deaYDeva5Dk96vqS3caffE09kNARxptCGw+FELa3JNi4JJKPRSHFxMXa7HY1Gg91up6SkBKOx8w9mGo1GioqKGDp0KNCxxXTR3LlzmT59ervXLBYLs2bNur6L8GBFZbXU1DczMkb6q4VwB7ERQWTnWMkvriZelqNo45J7SAaDgeTkZDIzMwHIzMwkOTm50911AFOnTmXTpk04HA6sVis7duwgJSWlw346nQ6TydTuKybGs2Zo7m7ZFx4y9MQJKYXwRhcH1JwpqFC4Evfisi67pUuXsmjRIt544w10Oh0rVqwAYN68eSxYsIAhQ4Zw4MABfvWrX1FTU4PT6eTDDz9k+fLljBs3jrS0NA4fPsyUKVMAmD9/PnFxca4q36Nl51iJCAtw+9mdhegtwoL98PPVcPRsOUMHXH2NKk+ZQPZ6uSyQEhMT2bRpU4fX165d2/b9iBEj+OKLLy75fo1Gw7Jly3qsPm/V0NRCTlElNydFKV2KEOIClUqFKTKY7HPlnboffEtSVK8IJHka0MsVFNfgcEp3nRDuJi46hLLKehxushClO5BA8nL5lioC/bVEG+QhUCHciSk6mBa7k4oL0yoJCSSv5nQ6ybNUkxyv7/XTtQjhbuIuzNJQZuv881zeTgLJi5VU1FPf2MLg/galSxFCfE90eCBajZqSinqlS3EbEkheLM/SOmNFsjyUKITbUatVRIT5U2qTQLpIAsmL5Vuqib4wt5gQwv1EhgVQZqvHKQMbAC+cOki0am6xU1JRxy0y3PuSZJ484Q4iwwM5erYcW3Uj4Tp/pctRnASSlyqx1uN0QsyFmYVFezJPnnAHUeEBAJTa6iWQkC47r2Wxtq5IGSPDvYVwW+Eh/mjUKhnYcIEEkpeylNcRHuKHv680goVwV60DGwJk6PcFEkheyOl0Yi6vle46ITxAZFgApRUysAEkkLySraaRxia7dNcJ4QEiwwNoanFQWdukdCmKk0DyQpby1ua/tJCEcH+RYRcGNlRIt12nA2nHjh20tHR+2WyhHEt5LX4+GsJD/JQuRQhxFfpQf9QqFWXygGznA2nlypWMHTuW5557jsOHD/dkTeI6WcrriDYEopL564Rwexq1mnCdH+WVDUqXorhOB9KWLVt499138fPz44knniAlJYU33niDwsLCnqxPdFFjkx1rVQNG6a4TwmMYQgMkkOjiPaRBgwaxcOFCPv/8czIyMsjKymLy5MnMmjWLLVu24HA4eqpO0Uny/JEQnscQ6k9NfTMNTb37tkiXH1LJz89ny5YtbNmyBZVKxYIFCzAajWzcuJHt27ezevXqnqhTdJKlvA4VEKWXQBLCU0SEts7SUF7ZQJ/IYIWrUU6nA2njxo1s3ryZvLw87r77bl5++WWGDx/etj0lJYXbb7+9J2oUXWApr8UQ5o+vVqN0KUKITjKEto60K6+sl0DqjC+++IKHHnqIiRMn4uvbcfbogIAAVq1addn35+TksGjRImw2G2FhYaxYsYL4+Ph2+9jtdl544QV27tyJSqXi0UcfZcaMGQCUl5fz9NNPYzabaWlpYfTo0TzzzDNotTITwUUOp5Nia53MvSaEhwn01+Lvq+n195E6fQ9p1KhR3H333R3C6J133mn7fuzYsZd9f0ZGBunp6Xz00Uekp6ezZMmSDvts3bqV/Px8tm/fzvvvv8+qVavaBk28+eabJCYmsnXrVrZs2cLx48fZvn17Z8vvFSqqGmhucRAj3XVCeBSVSoUhNIAymwRSp6xZs+aSr//xj3+86nvLy8vJzs4mNTUVgNTUVLKzs7Fare3227ZtGzNmzECtVqPX65k0aRJZWVlA619YbW0tDoeDpqYmmpubiY6O7nCuqqoqCgsL231ZLJbOXqZHu7jQV2S4BJIQnsYQ6o+1qqFXTyF01f6uPXv2AK3daXv37m33h1VYWEhQ0NWHF5vNZqKjo9FoWu9raDQaoqKiMJvN6PX6dvvFxsa2/Ww0GtvC5PHHH+eJJ55g7Nix1NfXM2vWLG699dYO51q3bl2vHVhRWlGPVqMmTB6IFcLjGEL9abG3TiEUFtw7/w1fNZB++9vfAtDU1MTixYvbXlepVERGRvLMM8/0XHXfkZWVRVJSEuvWraO2tpZ58+aRlZXF1KlT2+03d+5cpk+f3u41i8XCrFmzXFKnkkpt9URceOpbCOFZIr4zsEEC6TI+/fRTAH7zm9/w8ssvX9NJjEYjxcXF2O12NBoNdrudkpISjEZjh/2KiooYOnQo0L7FtGHDBl588UXUajUhISHcdddd7Nu3r0Mg6XQ6dDrdNdXpyZxOJ2W2egbJgAYhPFK4zh8VUG5rILGP0tUoo9P3kK41jAAMBgPJyclkZmYCkJmZSXJycrvuOoCpU6eyadMmHA4HVquVHTt2kJKSAoDJZOKLL74AWltre/bsYeDAgddck7eprGmiucVBxIWJGoUQnsVHqyY0pHdPIXTFFtLdd9/Nv/71LwDuuOOOy86N9tlnn131REuXLmXRokW88cYb6HQ6VqxYAcC8efNYsGABQ4YMIS0tjcOHDzNlyhQA5s+fT1xcHACLFy8mIyODadOmYbfbGT16NA8++GCnL9TblV5Y4EsGNAjhuQyh/pT24tVjrxhIzz//fNv3v//976/rRImJiWzatKnD62vXrm37XqPRsGzZsku+v2/fvu2GmIv2SivqUatV6HW9s+9ZCG9g0AVwtrCSphZ7r3y4/YqBNGLEiLbvR40a1ePFiGtXaqvHoPNHo5YlroTwVIaw1imErJUNvXI9s05/er3zzjt8++23ABw6dIgJEyZw1113cfDgwR4rTnTOxQENkeFy/0gIT/bdOe16o04H0rvvvovJZALg1Vdf5Sc/+Qk///nPefHFF3usONE5rbME29tWnhRCeKaQQF98tGrKK3vnfaROB1J1dTUhISHU1NRw8uRJ5syZw4wZM8jJyenJ+kQnXLwJKiPshPBsrVMI+ffaFlKnZyY1Go188803nDlzhhEjRqDRaKipqWmbfUEop9RWj0olgSSEN9Dr/DlbWInT6ex1qz53OpB+85vfsGDBAnx9fVm5ciUA//73vxkyZEiPFSc6p7SijvAQf7QaGdAghKczhAaQnWOlrqGFoAAfpctxqU4H0h133MGuXbvavTZ16tQOMyUI1yuz1WOKClG6DCFENzDoLg5sqJdAupLq6mpycnKora1t9/qYMWO6tSjRebUNzdQ2tMgIOyG8hP7iSLuqBvrG9K5p0DodSP/4xz947rnnCAwMxN/fv+11lUrFJ5980iPFiasruzCgQUbYCeEdAvy0BPprsfbCgQ2dDqTXXnuN119/nTvuuKMn6xFdVHZheKhBAkkIr2HQ+VNe1fsCqdN3we12+xVXhBXKKLM1EBLoi5+PjHYUwlvoQ/2xVjbg6GWL9XU6kObNm8cf//hHHA5HT9Yjuqi8sp6IMP+r7yiE8BiG0ADsDidVNU1Kl+JSne6ye/fddykrK+Ptt98mLCys3bbOzPYtul+L3YGtupFEU5jSpQghupH+4ki7qvpetQJ0pwPpemf7Ft2vvLIBJ0gLSQgvc3HWfmtl71qsr9OBJLN9u5+L811dXPpYCOEdfLQadEG+vW4KoU7fQ2pqauK1115j4sSJ3HrrrQDs2rWLDRs29Fhx4srKKhvw0arRBfkqXYoQopsZQv2x9rKRdp0OpBdffJFTp07xyiuvtM2vNHDgQP72t7/1WHHiysovrIHU2+a7EqI3MOj8sdU00mLvPQPJOt1lt2PHDrZv305gYCDqC4vARUdHU1xc3GPFictzOp2UVdYzMC5c6VKEED1AHxqA0wkV1Y1Kl+IynW4h+fj4YLfb271mtVo7jLi7nJycHGbOnElKSgozZ84kNze3wz52u51ly5YxadIkJk+e3GHJ823btjFt2jRSU1OZNm0aZWVlnS3f61TXNdPU7Ghb0EsI4V0MoRdXj+09ayN1uoU0depUFi5cyNNPPw1ASUkJL774Ivfee2+n3p+RkUF6ejppaWls3ryZJUuWsH79+nb7bN26lfz8fLZv347NZuP+++9nzJgxmEwmjh49yurVq1m3bh2RkZFUV1fj69t77520DWiQGRqE8EqhwX6o1apeNbCh0y2kJ598kri4OO677z6qqqpISUkhMjKS+fPnX/W95eXlZGdnk5qaCkBqairZ2dlYrdZ2+23bto0ZM2agVqvR6/VMmjSJrKwsoPU5qIcffpjIyEgAQkJC8PPrOD6/qqqKwsLCdl8Wi6Wzl+kxymytv6R6aSEJ4ZU0ahXhIX69agqhTreQ8vPzSUhI4Gc/+xl2u51JkyaRlJTUqfeazWaio6PbFvPTaDRERUVhNpvR6/Xt9ouNjW372Wg0toXJ2bNnMZlMzJo1i7q6OiZPnszPf/7zDjf0161bx+rVqzt7WR6rvLKe0GBffLUyZZAQ3soQ6k9Rae3Vd/QSVw0kp9PJ4sWL+eCDD4iJiSEqKori4mLWrFlDWloaL774oktGedntdk6ePMk777xDU1MTP/3pT4mNjeX+++9vt9/cuXOZPn16u9csFguzZs3q8RpdqayyHoM8fySEVzPoAjiVb6OuoVnpUlziqoH0/vvv89VXX/H+++8zdOjQttePHDnCf/7nf/Lee+/x4x//+IrHMBqNFBcXY7fb0Wg02O12SkpKMBqNHfYrKipqO893W0yxsbFMnToVX19ffH19mThxIkeOHOkQSDqdDp3Ou9cQaWyyU1nTRFJfGWEnhDe7OLChsKSG+NhQhavpeVe9h7R582aeeeaZdmEEMHToUBYvXszmzZuvehKDwUBycjKZmZkAZGZmkpyc3K67DloHTmzatAmHw4HVamXHjh2kpKQArfeddu3ahdPppLm5mb179zJo0KBOX6g3KSytBmTJCSG83cV/44UlNQpX4hpXDaSzZ88ycuTIS24bOXIkZ8+e7dSJli5dyoYNG0hJSWHDhg0sW7YMaJ1F/OjRowCkpaVhMpmYMmUKDz74IPPnzycuLg6Ae++9F4PBwD333MP999/PgAED+I//+I9OndvbFBS3/nLKlEFCeLcgfy1+vhoKS6qVLsUlrtplZ7fbCQ4OvuS24ODgTi9HkZiY2OG5IoC1a9e2fa/RaNqC6vvUajVPP/1027Dz3qywpBpfHzUhgT5KlyKE6EEqlYqIUH8KekkL6aqB1NLSwt69e3FeZqGo7z8sK3peQXE1htAAmTJIiF7AEBrAybwKHA4narV3/5u/aiAZDAYWL1582e3fvw8kepbD4aSgpIYbZECDEL2CIdSfxmY7xdY6jBFBSpfTo64aSJ9++qkr6hCdZLHW0thklymDhOglLj7ekWuu9PpA6vRMDcI95JyvAiBSRtgJ0Svodf6oVJBbVKV0KT1OAsnDnCuqbJ1SRCctJCF6Ax+tmmh9IDlmCSThZs6dryTGEIRWI391QvQWpqgQaSEJ95NTVElcdIjSZQghXMgUFYy5vJb6xhalS+lREkgepLKmkfLKBvpGX/q5MCGEd4qLav03n2fx7laSBJIHudhklxaSEL2LKar137y3d9tJIHmQc0WVgASSEL2NIdSfAD8tuV4+sEECyYOcK6rEEOpPSGDvXSlXiN5IpVIRb9RJIAn3kXO+koReMAW9EKKj+FgduUWVl53GzRtIIHmIpmY7BSU19O8jgSREb5Rg1FHb0EKprV7pUnqMBJKHyLdU43A46S8tJCF6pYu9IznnKxWupOdIIHmInAsDGhL6ePdquEKIS4s36lCr4KwEklDauaJKAvw0xOi9e3JFIcSl+ftp6RMVwplCm9Kl9BgJJA+RU1RFvDHU69dDEUJc3gBTKGclkISSHA4n585XkhAr3XVC9GYDTGFYqxqxVjUoXUqPcFkg5eTkMHPmTFJSUpg5cya5ubkd9rHb7SxbtoxJkyYxefLkSy55fu7cOYYNG8aKFStcULV7OF9aQ31jCwPjwpQuRQihoERTGIDXdtu5LJAyMjJIT0/no48+Ij09nSVLlnTYZ+vWreTn57N9+3bef/99Vq1aRWFhYdt2u91ORkYGkyZNclXZbuF0gQ2AgXGySqwQvVn/PqGoVHD2wmeCt3FJIJWXl5OdnU1qaioAqampZGdnY7Va2+23bds2ZsyYgVqtRq/XM2nSJLKystq2v/XWW0yYMIH4+HhXlO02ThdU4O+rwSRTBgnRqwX4aekTGey1I+1cEkhms5no6Gg0Gg0AGo2GqKgozGZzh/1iY2PbfjYajVgsFgBOnDjBrl27+MlPfnLFc1VVVVFYWNju6+IxPNXpAhuJpjA0MqBBiF5vgCnMa7vstEoX0BnNzc08++yzvPTSS22hdjnr1q1j9erVLqqs57XYHeScr+Tu2xOULkUI4QYSTWF89k0hFdUNhId418rRLgkko9FIcXExdrsdjUaD3W6npKQEo9HYYb+ioiKGDh0K/G+LqbS0lPz8fB599FGgtRXkdDqpqanh+eefb3eMuXPnMn369HavWSwWZs2a1YNX2HPyLdU0tThkQIMQAmgd+g1wtrCSEckSSF1mMBhITk4mMzOTtLQ0MjMzSU5ORq/Xt9tv6tSpbNq0iSlTpmCz2dixYwcbN24kNjaWffv2te23atUq6urqWLhwYYdz6XQ6dDrvGR59uqACgIF9w5QtRAjhFi4ObDhTaGNEcrTS5XQrl42yW7p0KRs2bCAlJYUNGzawbNkyAObNm8fRo0cBSEtLw2QyMWXKFB588EHmz59PXFycq0p0S6cLbAQH+GA0yAwNQggI9PchNiKYM1440s5l95ASExMv+VzR2rVr277XaDRtQXUlTzzxRLfW5s5O59sYEBeGSiUDGoQQrRJNoWTnWK++o4eRmRrcWGOznTxLldw/EkK0M8AURpmtnsqaRqVL6VYSSG4sp6gSu8MpgSSEaGeAl87YIIHkxk7n2wCZoUEI0d7FhTq97T6SBJIbO11QQXiIH4ZQ7xraKYS4PkEBPsRFh3Air0LpUrqVBJIbO11gY2BcuAxoEEJ0MDhBz7c55TgcTqVL6TYSSG6qrqGZ86U1DJD7R0KISxicYKC2oYX84mqlS+k2Ekhu6mReBU4nJPWV+0dCiI4GJ7ROLJCdU65wJd1HAslNHT9XjlqtYlC8BJIQoqNofSB6nT/Z57zneSQJJDd17Fw5iX1CCfT3UboUIYQbUqlUDE7Qk50rLSTRgxqb7ZzMq+CmxAilSxFCuLHBCQZKK+opqahTupRuIYHkhk7lVdBid3BTf4PSpQgh3NjF+0jfesk0QhJIbujYuXJUKhgsgSSEuIJ4o44AP63XDGyQQHJDx86WkWAMJThA7h8JIS5Po1EzqF+410y0KoHkZppbHJzIq+CmRGkdCSGubnB/A3mWKmrqm5Uu5bpJILmZ0wUVNDXbJZCEEJ0yOEGP0wkncj2/lSSB5GaOnW3tCx6cIIEkhLi6G+LC0ahVXnEfSQLJzRw/V07fmBBCg/2ULkUI4QH8/bQkmkI5fk4CSXQju93Bt7nlMtxbCNElw2+I4kReBTV1TUqXcl0kkNzI2fOV1Dfa5YFYIUSXjEyOxuFw8s3JEqVLuS4uC6ScnBxmzpxJSkoKM2fOJDc3t8M+drudZcuWMWnSJCZPnsymTZvatq1Zs4Z7772XadOm8cADD7Bz505Xle4yh0+XAkgLSQjRJQP7hqML8mX/t8VKl3JdtK46UUZGBunp6aSlpbF582aWLFnC+vXr2+2zdetW8vPz2b59Ozabjfvvv58xY8ZgMpkYOnQoDz/8MAEBAZw4cYLZs2eza9cu/P29Z/G6vcfMDIgLI1znPdckhOh5GrWKEcnR7M+2YHc40ag9cw01l7SQysvLyc7OJjU1FYDU1FSys7OxWtsPU9y2bRszZsxArVaj1+uZNGkSWVlZAIwbN46AgAAAkpKScDqd2Gy2DueqqqqisLCw3ZfFYunZC+wG5ZX1nMq3MeYmo9KlCCE80MjB0VTXNXMyz3OHf7ukhWQ2m4mOjkaj0QCg0WiIiorCbDaj1+vb7RcbG9v2s9FovGSYfPDBB/Tt25eYmJgO29atW8fq1at74Cp61t5jrdc5ZogEkhCi626+IQqNWsX+7GKPfWzEZV123eWrr77i9ddf589//vMlt8+dO5fp06e3e81isTBr1ixXlHfN9h410ycyCFNUsNKlCCE8UFCADzf2N7A/28LcewcrXc41cUmXndFopLi4GLvdDrQOXigpKcFoNHbYr6ioqO1ns9ncrhV08OBBnnrqKdasWUP//v0veS6dTofJZGr3damWlDupqWvi6NkybrvJiErlmX2/QgjljRwcTZ6lmhKrZy5H4ZJAMhgMJCcnk5mZCUBmZibJycntuusApk6dyqZNm3A4HFitVnbs2EFKSgoAR44c4cknn2TlypXceOONrijbZfZ/W4zd4eQ26a4TQlyHkYNb//PtqaPtXDbse+nSpWzYsIGUlBQ2bNjAsmXLAJg3bx5Hjx4FIC0tDZPJxJQpU3jwwQeZP38+cXFxACxbtoyGhgaWLFlCWloaaWlpnDx50lXl96i9x8zodX7cECfLlQshrl2fyGCMEUHsz3b/gVyX4rJ7SImJie2eK7po7dq1bd9rNJq2oPq+v//97z1Wm5Iam+18faKEu26NQ+2hQzWFEO5j5OBo/rU7l7qGZgL9PWsJG5mpQWGHTpbQ2GSX7johRLe442YTzS0OPvumUOlSukwCSWG7j5oJ8tcyRKYLEkJ0g4FxYfSPDSVrTy5Op1PpcrpEAklBlTWN7Dp0nrHD++Cjlb8KIcT1U6lUTB3Tj5yiKk4X2JQup0vkU1BB2/fl0dTiYNrYSw9hF0KIa3HHLSb8fTVk7clVupQukUBSSIvdwYdf5jBsYAT9jDqlyxFCeJFAfx/G32zii0PnqfWgpc0lkBSy54iZ8soG7huXqHQpQggvNHVMPxqb7Hz2dYHSpXSaBJJCtuw8i9EQxIjkaKVLEUJ4oYFx4SSaQsnam+cxgxskkBRwKr+CE3kVpI5LkGePhBA9Zupt8eSaqzxmeXMJJAVs+eIcAX5aJo3sq3QpQggvNuEWE3qdP3/aehyHw/1bSRJILna20MbOw+eZMrqfxz1FLYTwLP5+Wh5KHcyZAhuf7M9XupyrkkByIbvdwcr/PkRokC8/mnyD0uUIIXqBO24xkRyvZ922bGrcfMSdx62H5Mn++flZzp2vZNHckQQH+l7zcR5Z/nE3ViWE8ARbX027pvepVCoenT6EX/2/z3lv+0l+mnZTN1fWfaSF5CLnS2v460cnGDPEyA+Gxl79DUII0U0GmMKYMrofmbvOkW+pUrqcy5JAcgGHw8mq/z6Er4+Gxx4YqnQ5QoheaM7dyQT4aVnxlwNU1zUpXc4lSSD1MIfDyZr/Oczxc+U8PO1G9Dp/pUsSQvRCocF+PP2TkRSV1vLc23tpaGxRuqQOJJB6kN3u4P+99w3b9+Xx4KQbmDxKhnkLIZQzdEAkT82+lVP5Ffxu/X5a7A6lS2pHAqmHtNgdvPrXb/j314XMnjqIOXcno1LJQ7BCCGXdPjSWx/9jGF+fKGHF+v1U1bpP952MsusBB0+W8Oetx8k1V/FQ6o08cOcApUsSQog2KbfF09hk589bj/P4y58wL20I42/uo/h/ml0WSDk5OSxatAibzUZYWBgrVqwgPj6+3T52u50XXniBnTt3tg5VfPRRZsyYcdVt7sDpdHK6wMbftp/kwLfFROsDeXruSG6XEXVCCDd03/hEhgyIYNV/H+KVjV/z6YEC7v1BAjcnRSm2PpvLAikjI4P09HTS0tLYvHkzS5YsYf369e322bp1K/n5+Wzfvh2bzcb999/PmDFjMJlMV9ymhBa7A0t5LQXF1XxzspT92RbKKxsI9NfyUOqNTBuXgI9Wo0htQgjRGQmxofx+wXi27jzHf+84yfN/LiEk0Ifbh8ZyY38D8UYdpqgQlwWUSwKpvLyc7Oxs3nnnHQBSU1N5/vnnsVqt6PX6tv22bdvGjBkzUKvV6PV6Jk2aRFZWFj/96U+vuO27qqqqqKpqP87+/PnzAFgslmuq31xWy7/25FJT30RdfQtVtU2UVtbjvDA3lL+vhsH9DdwzwsiwGyIJ8veh2GK+pnN1RnOdtceOLYRwT4WFhT127BGJfgyPH8LxnDL2HbOwfecRMj+1A6BWqwjX+RMS4ENIkC833xDJ+JuvryEQExODVtsxflwSSGazmejoaDSa1haDRqMhKioKs9ncLpDMZjOxsf/bxWU0GttC5ErbvmvdunWsXr36knXMmjWrW67nUr4F/t5jRxdC9HYTP/2d0iUAsKUbjvHJJ59csnfL6wY1zJ07l+nTp7d7rampiYKCAuLj49tC0VNZLBZmzZrFxo0biYmJUbqcbuft1wfef41yfZ7NFdd3ueO6JJCMRiPFxcXY7XY0Gg12u52SkhKMRmOH/YqKihg6tHU2g++2iq607bt0Oh06Xcclwfv379/dl6WomJgYxe6fuYK3Xx94/zXK9Xk2Ja7PJXeqDAYDycnJZGZmApCZmUlycnK77jqAqVOnsmnTJhwOB1arlR07dpCSknLVbUIIITyfy7rsli5dyqJFi3jjjTfQ6XSsWLECgHnz5rFgwQKGDBlCWloahw8fZsqUKQDMnz+fuLg4gCtuE0II4flcFkiJiYls2rSpw+tr165t+16j0bBs2bJLvv9K24QQQng+mTrIw+h0On7xi19c8j6ZN/D26wPvv0a5Ps+m5PWpnE6n+y+0LoQQwutJC0kIIYRbkEASQgjhFiSQPNy+fftITk5mw4YNSpfSrZYtW8bUqVO57777+NGPfsTRo0eVLqlb5OTkMHPmTFJSUpg5cya5ublKl9RtKioqmDdvHikpKUybNo1f/OIXWK3eOc3V6tWrSUpK4tSpU0qX0u0aGxvJyMhgypQpTJs2jWeffdZl55ZA8mA1NTW88sorjB8/XulSut348ePZunUrW7Zs4Wc/+xlPPvmk0iV1i4uTDH/00Uekp6ezZMkSpUvqNiqVip/+9Kd89NFHbN26lbi4OF555RWly+p2x48f59ChQ/Tp00fpUnrE73//e/z8/Nr+Hn/5y1+67NwSSB7sd7/7HY888gjh4eFKl9Lt7rzzTnx8fAAYPnw4FosFh8O9VrfsqouTDKempgKtkwxnZ2d7TSsiLCyM0aNHt/08fPhwioqKFKyo+zU1NfHcc8+xdOlSpUvpEbW1tXzwwQf88pe/bFsbKSIiwmXnl0DyUJ9//jnV1dVMnTpV6VJ63MaNG5kwYQJqtWf/ul5pkmFv43A4+Nvf/sZdd92ldCnd6vXXX+e+++7z2imDCgoKCAsLY/Xq1TzwwAPMmTOHAwcOuOz8Xje5qreYPn36Zf93mZWVxauvvtq2nIcnutL17d69u+1D+8MPP2Tr1q1s3LjRleWJ6/T8888TGBjI7NmzlS6l2xw8eJBjx47x61//WulSeozdbqegoIDBgwezcOFCDh8+zGOPPcbHH39McHBwj59fAslN/fOf/7zstgMHDlBaWtq2Ym5FRQX//ve/sdls/OIXv3BVidflStd30ccff8xrr73Gu+++69Jug57S2UmGPd2KFSvIy8vjzTff9PhW7Xft37+fs2fPMnHiRKB1VuxHHnmEl156ibFjxypcXfcwGo1otdq2buVhw4YRHh5OTk4OQ4YM6fkCnMLjLVy40PmXv/xF6TK61aeffuq88847nbm5uUqX0q1mz57t/OCDD5xOp9P5wQcfOGfPnq1wRd3r1Vdfdc6ePdtZV1endCk97s4773SePHlS6TK63UMPPeTcuXOn0+l0Os+dO+ccNWqUs7Ky0iXnlpkavMCiRYu46aabvKp75LbbbsPHx6fdjPDvvvuuxw/gOHv2LIsWLaKqqqptkmFvWRrl9OnTpKamEh8fj7+/PwAmk4k1a9YoXFnPuOuuu3jzzTe54YYblC6lWxUUFLB48WJsNhtarZb/+3//L3fccYdLzi2BJIQQwi14TwevEEIIjyaBJIQQwi1IIAkhhHALEkhCCCHcggSSEEIItyCBJIQQwi1IIAkhhHALEkhCCCHcggSSEG4sPz+fUaNGcfz4cQCKi4u57bbb2Ldvn8KVCdH9JJCEcGN9+/bl17/+NU899RT19fUsXryY6dOnt1t3SAhvIVMHCeEBHnvsMc6fPw/A3//+d3x9fRWuSIjuJy0kITzAgw8+yKlTp5gzZ46EkfBa0kISws3V1taSlpbG6NGj+eKLL9i6dSthYWFKlyVEt5MWkhBubvny5dx0000sX76cCRMmkJGRoXRJQvQICSQh3NiOHTvYuXMnS5cuBVrXvsrOzmbLli3KFiZED5AuOyGEEG5BWkhCCCHcggSSEEIItyCBJIQQwi1IIAkhhHALEkhCCCHcggSSEEIItyCBJIQQwi1IIAkhhHALEkhCCCHcwv8HX1yly4J5350AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sample.geweke_test(result)\n",
    "for i_chain in range(len(result.sample_result.betas)):\n",
    "    visualize.sampling_1d_marginals(\n",
    "        result, i_chain=i_chain, suptitle=f\"Chain: {i_chain}\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([1.0000000e+00, 2.1503801e-01, 2.0000000e-05])"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "result.sample_result.betas"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Pymc3 sampler"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Auto-assigning NUTS sampler...\n",
      "Initializing NUTS using jitter+adapt_diag...\n",
      "Initializing NUTS failed. Falling back to elementwise auto-assignment.\n",
      "Sequential sampling (1 chains in 1 job)\n",
      "Slice: [x]\n",
      "Sampling chain 0, 0 divergences: 100%|██████████| 10500/10500 [00:25<00:00, 407.36it/s]\n",
      "Only one chain was sampled, this makes it impossible to run some convergence checks\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 29.2 s, sys: 860 ms, total: 30.1 s\n",
      "Wall time: 30.8 s\n"
     ]
    }
   ],
   "source": [
    "%%time\n",
    "sampler = sample.Pymc3Sampler()\n",
    "result = sample.sample(problem, 1e4, sampler, x0=np.array([0.5]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sample.geweke_test(result)\n",
    "for i_chain in range(len(result.sample_result.betas)):\n",
    "    visualize.sampling_1d_marginals(\n",
    "        result, i_chain=i_chain, suptitle=f\"Chain: {i_chain}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "If not specified, pymc3 chooses an adequate sampler automatically. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Emcee sampler"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 10000/10000 [00:35<00:00, 278.38it/s]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 35.8 s, sys: 344 ms, total: 36.2 s\n",
      "Wall time: 35.9 s\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    }
   ],
   "source": [
    "%%time\n",
    "sampler = sample.EmceeSampler(nwalkers=10, run_args={'progress': True})\n",
    "result = sample.sample(problem, 1e4, sampler, x0=np.array([0.5]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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XKbnvvvtaHUMIcS43rn10OkcDAAhWefbI64f28wLDAId/KUSI/x9rJI0JV1JB4hhrBUmj0SAxMRH79++HVCpFbGwsJk6ciLCwMNsxWVlZ+Ne//oXIyEi2YhBCeK6orBaBSg+4u0l65PVC+8khFDTPKn59QSLcY63BNi0tDVFRUVAoFJDJZIiOjsbhw4ftjsnKykJycjJiYmKwadMmNDU1tTqPXq9HSUmJ3ZdarWYrNiGkBzUazVDr6jGsv0+PvaaLRASltwyl5TRjA9+wdoWk1Wrh5+dne6xUKpGRkWF7XF9fj6FDh2LdunUICAjA+vXr8e677yIhIcHuPDt37kRSUhJbMQkhHCrW1IFhgGH9fXt0aYh+fh44l6eFyWyBRNz1JdJJ92LtColpYwJDwXU3vLm7uyM5ORkhISEQi8VYuXIlfvzxx1bPWb58OY4dO2b3tXv3brZiE0J6ULGmFlKJECF9e6b/qEW/Pu6wMoBG19Cjr0tujrUrJJVKhVOnTtkea7VaKJV/jKIpLS1FWloali5dCqC5gInFrePI5XLboAdCiPNgGAbF2loE+nlCJOzZO1BUvjIAgLqyAYHKni2GpH2svQsmT56M9PR06HQ6GAwGpKamYtq0abb9rq6u2Lp1K4qLi8EwDHbv3o3Zs2ezFYcQwjM19UbUNZgQqGL3Zti2uErF8PZ0oSsknmGtIKlUKiQkJCAuLg6LFy/GggULEBERgfj4eGRmZsLHxwebNm3CE088gbvuugsMw+Dhhx9mKw4hhGdKNM2rtwZxdIWi8pFBo2tos3uBcIPV+5BiYmIQExNjty05Odn2fXR0NKKjo9mMQAjhqRJtHTzcJPDy4ObeH5WvO3KKqqCvN8LLw4WTDMQeTR1ECOlxVoZBSXkdAlUedoOdepK/z+/9SNRsxxtUkAghPa6y2oAmo4XTAQU+cleIRUJoKus5y0DsUUEihPS40ormIhDA0mJ8nSEUCmz9SIQfqCARQnpcaUU95O5SeHA8d5zKR4aKagPMlp67KZe0jwoSIaRHMQyD0vI69OPw6qiFv68MVgYorzJwHYWAChIhpIeVVdaj0WhBXx4UJFXLwAbqR+IFKkiEkB6Vd7UaQPN8clyTuUogd5dSPxJPUEEihPSovKtVkLmK4eXOj7WHVD4yGvrNE50qSE8//TTS0tLYzkIIcXIMwyDvahX69eHu/qMb+fvKUG8wQadv5DpKr9epgjRnzhy8++67iI6OxgcffIDq6mqWYxFCnJG2yoCq2iZeDGhoofJpzlJwrYbjJKRTBSkmJgaffvop3n33XVRWVuLee+/F2rVr7dY3IoSQjlwoqAAA9PPjT0Hqo3CFSCjAZSpInOt0H5LVakVRUREKCwthNpvh6+uLjRs3YuvWrWzmI4Q4kazLlZC5iuEjd+U6io1IKEQfhRuKyvRcR+n1OjW5amJiIvbv34+goCA88MADePvttyGRSNDQ0IDp06dj7dq1bOckhDiBCwWVGBzkzZv+oxZKbzfkFVfDamUgFPIrW2/SqYKk0+mQnJyMIUOG2G2XyWR48803WQlGCHEuOn0jSivqMXVUP66jtOLnLUPm5UpcK69DkIoW7ONKp5rsLBZLq2L09NNPAwCmTp3a/akIIU7nQkElAGBwsDfHSVpTersBAC6XVHMbpJe76RXS3//+d2g0Gpw+fRo6nc623Ww2o6CggPVwhBDnkV2og4tUhCCVJ6pqm7iOY8fb0xVSsRCXSqrxp7FBXMfptW5akJYuXYpLly4hNzfXbiE9kUiEyMhI1sMRQpxHbpEOg4IUEIv4dz++UChAsL8n8ouruY7Sq920II0cORIjR47ElClToFKpbvnkKSkp2L59O0wmE1asWIFly5a1edwPP/yATZs24fvvv7/l1yCE8J/RZEHBtRosmjaQ6yjtCvGX40RGKSxWBiIa2MCJmxakZ555Bm+//TYeffTRNvenpKS0+1yNRmMbnSeVShEbG4uJEyciLCzM7riKigq8/vrrXYhOCHEUBddqYLYwCA/x4TpKu0L7ynHsVDGuaWsR7C/nOk6vdNOCFB8fDwB48cUXb/nEaWlpiIqKgkKhAABER0fj8OHDWL16td1xL7zwAlavXk2j9QhxMrUNRhgazQCAk9kaAEAfL1c0mSxcxmpXaN/mIpRfUk0FiSM3bcwdMWIEAGDChAno27cvJkyYgOrqavz2228YOnToTU+s1Wrh5+dne6xUKqHRaOyO+eSTTzBs2DCMGjWq3fPo9XqUlJTYfanV6g7/YoQQbhkazTiTq8WZXC1O52jgKZPi8rUa3i6G5+/rDlepCPklNGMDVzp1H9JLL70EAFi+fDk2bdqEO+64A88//zzeeeeddp/DMEyrbdffDJeXl4fU1FR8/PHHNy0wO3fuRFJSUmdiEkJ4SlPZwIv1j25GKBRgQIAXDWzgUKcKUlZWFvbt24cdO3ZgyZIlePbZZ3HPPffc9DkqlQqnTp2yPdZqtVAqlbbHhw8fRnl5Oe655x6YTCZotVo88MAD2LNnj915li9fjiVLlthtU6vV7Q6QIITwS53BhDqDybYYHp+FBSlwOL0IFosVIh6OBnR2nfqJMwwDoVCIEydOICoqCgBgMNx8yd/JkycjPT0dOp0OBoMBqampmDZtmm3/mjVrcOTIERw6dAg7duyAUqlsVYwAQC6XIzAw0O7L39//Vv6OhBAOaXTNq7E6REEKVMBosqBEW8d1lF6pUwUpODgY8fHxKCkpwYQJE/Dss88iPDz8ps9RqVRISEhAXFwcFi9ejAULFiAiIgLx8fHIzMzslvCEEP7TVDZAKBTAT+HGdZQOhQUqAACXqNmOE51qsnvttddw9OhRjB07FhKJBOPGjcPixYs7fF5MTAxiYmLstiUnJ7c6LjAwkO5BIsRJqXUN8FO4OUQTWICfB9xcRMgvqcasCcFcx+l1OvUOkclkGDduHPR6PS5cuICIiAiaOogQ0iGLlUF5VQP8ffnfXGe2WFFRbUCQyhPZhTpodQ2obTByHatX6dQV0tatW/Hpp5/C19fXtk0gEODYsWOsBSOEOL7KGgPMFsa2KiufNZksyMivgJuLBFmXK3AyW4PxQ1XwlEm5jtZrdKogffvtt0hNTe3S9EGEkN5LU9kAAA5xhdRC6e0Gi5VBlb6R6yi9Tqea7Pr27UvFiBByy9S6BshcxfBwk3AdpdOU3s3FU1vVwHGS3qdTV0iTJk3Cli1bMHPmTLi6/rH08PDhw1kLRghxfBpdPfx93Hm3QuzNeHlIIRULUV5181tbSPfrVEHav38/gOabWVtQHxIh5GZqG4yoqTNiWH/fjg/mEYFAAD9vGV0hcaBTBYmGZBNCblXBteY54fwd4IbYGym93ZCRX8HbefecVaf6kOrr67Fp0yYsX74c1dXVeOmll1BfX892NkKIA7t8rQYCAeDn7XgFye/3gQ3XymnGhp7UqYL0yiuvwNPTE5WVlXBxcUFdXZ1twlVCCGlLwbUa9PFyg0TM/xtib9QysKGwTM9xkt6lU++U7OxsJCQkQCwWw83NDW+88Qays7PZzkYIcVAWK4MrpTVQOdBw7+vJ3aVwkYhQRAWpR3WqIAmF9odZLJZW2wghpEWJphaNRotD9h8BLQMb3OgKqYd1qqqMHz8eW7duRWNjI37++WesXr0aEydOZDsbIcRB5RRVAYBDzNDQHqW3DCXaOpjM/Fzh1hl1qiD99a9/hUwmg6enJ9566y0MGTIEzz33HNvZCCEOKrdIB3c3Cbw8HHfanZYZG66U0lVST+lw2PfRo0fxwQcfIDc3F66urggPD8eYMWPg4uLSE/kIIQ4o92oVBvTzcqgbYm/UMjowv6Qag4O9OU7TO9y0IB08eBDvvvsu1qxZgyFDhkAgECAzMxOvvvoqmpqaMGfOnJ7KSQhxEPUGE4o1tRhzh7Ljg3nMUyaBh0xCS5r3oJsWpF27duHjjz9Gv379bNsGDhyIUaNGYcOGDVSQCCGt5F2tAsMAAwO90Gh03P4XgUCAUH85LdbXg27ah2QymeyKUYv+/fujqamJtVCEEMeVe7UKAgEQ2lfOdZTbFtpXjquaWjQazVxH6RVuWpBEIlG7+xiG6fYwhBDHl1tUhSCVJ2SujjPDd3v695PDamVQSAMbegSrNxOlpKRg3rx5mD17Nnbv3t1q/9GjRxETE4P58+dj/fr1MBppdUZCHBnDMMgt0iHcSQYBhPx+lUfNdj3jpn1Iubm5GDNmTKvtDMN0WDw0Gg0SExOxf/9+SKVSxMbGYuLEiQgLCwMANDQ0YNOmTThw4AD69OmDhIQEHDhwAPfff/9t/HUIIVwqq6hHbYMJ4SE+XEfpFt6ervCRuyC/pJrrKL3CTQvS0aNHu3zitLQ0REVFQaFQAACio6Nx+PBhrF69GgAgk8nw/fffQyKRoKGhAZWVlZDLW7c56/V66PX2l8tqtbrLuQgh7Mkp0gEAhoQ4xxUSAIQFetMVUg+5aUEKCAjo8om1Wi38/Pxsj5VKJTIyMuyOkUgk+PHHH/Hcc89BqVRi6tSprc6zc+dOJCUldTkHIaTn5BRWQeYqRpDKExXVzrHAXViQAiez1TA0meHm0qkVe0gXsdaH1Nagh7Zukrvzzjvx66+/Yvr06di4cWOr/cuXL8exY8fsvtrqjyKEcC+nSIfBwd4QCh33htgbDQpSgGH+WN+JsIe1gqRSqVBRUWF7rNVqoVT+caNcdXU1jh8/bnscExOD3NzcVueRy+UIDAy0+/L392crNiGkiwxNZhSV6THESfqPWgwM9AJAAxt6AmsFafLkyUhPT4dOp4PBYEBqaiqmTZtm288wDNauXYvS0lIAwLffftvmAApCiGO4VFwFKwOEO1H/EdA8sKGPwo1mbOgBrDWIqlQqJCQkIC4uDiaTCUuXLkVERATi4+OxZs0ajBw5Ei+//DIef/xxCAQChIWF4R//+AdbcQghLMspbJ7h25kGNLQYFKTApeIqrmM4PVZ76GJiYhATE2O3LTk52fb9rFmzMGvWLDYjEEJ6SE6RDoFKD3jIHHeG7/YMClIgPbMMtQ1GeDrh348vaJU9Qshta74htsrp+o9atDRD5l2lqyQ2UUEihNy2ssp66OuNTtd/1CIsUAGhAMgrooLEJipIhJDbZus/CnXOKySZqwTB/nLk0BUSq6ggEUJuW06RDm4uzTfEOqvwEG/kFVXBaqWJpdlCBYkQcttyC6sQHuwNkRPdEHuj8GBv1BlMKK2o4zqK06KCRAi5LY1NZlwpq0Gg0gNaXYPtq8nkuIvztaWlfyyX+pFYQxMzEZvaBiMMja0XInNzFdNQV9KuS8XVYBiAAXAmV2vb7gwDHMwWK7S6BgCAVCKCm4sY5/LKMWG4P/2fYAEVJGJjaDTbfaC0GBOupP98pF0tM3z7+8o4TtL9mkwWZOT/MQWar5crsgoqYWg00/8JFlCTHSHktly8okNfX3e4Sp3/91t/HxkqawxoMjpXcyRfUEEihHSZxcog+0olBgcruI7SI1S+7mAYoFBNS5qzgQoSIaTLisr0qG80Y7CTLFneEZVPc7PkFVqKghVUkAghXZZV0Ny/0lsKkpuLGHJ3KS5TQWIFFSRCSJddLNBB6e0GH7kr11F6jL+vDJevVbe5CCm5PVSQCCFdwjAMLhRUYvgAX66j9CiVjztq6oyoqG7kOorToYJECOmSa+V1qK5r6nUFyf/3fqScQh3HSZwPFSRCSJdcKGj+QO5tBamPwg0uEhEuXKnkOorTcf4bBwgraFYHcqGgAgoPFwT4eaC8ysB1nB4jFAoQFqRA1uWKjg8mt4TVgpSSkoLt27fDZDJhxYoVWLZsmd3+7777Dtu2bQPDMAgMDMRrr70GLy8vNiORbkKzOpALBZUYNsAHAoHzTqjanvBgb+z/IR/6eiPk7vR+7y6sNdlpNBokJiZiz549OHToED7//HPk5+fb9tfV1WHjxo3YsWMHvvzyS4SHh2Pbtm1sxSE3qG0w2k2E6YyTYRL2aKsaoK0y9LrmuhYtNwJfKKBmu+7EWkFKS0tDVFQUFAoFZDIZoqOjcfjwYdt+k8mEjRs3QqVSAQDCw8NRVlbW6jx6vR4lJSV2X2q1mq3YvUbLFc71X2aLletYxEFc/P2DeMSAPhwn4UZoXy9IxUIqSN2MtSY7rVYLPz8/22OlUomMjAzbY29vb8yaNQsA0NjYiB07duChhx5qdZ6dO3ciKSmJrZiEkC7IKqiEzFWMkL5yrqNwQiIWIjzEx3ZjMOkerBWktm4aa6utuba2Fk8++SSGDBmCJUuWtNq/fPnyVtvVanWr/ihCSM+5eKUSw/r7OvWCfB0ZMdAXnx/NRb3BBHc3CddxnAJrBUmlUuHUqVO2x1qtFkql0u4YrVaLRx55BFFRUdiwYUOb55HL5ZDLe+dvYVxhGAZF6loUlulRUW3A0d+K0M/PA1Mj+mHsUBXEIrpboDerrDGgWFOHWeODuY7CqeEDfGFlgOxCHcYNVXEdxymw9skyefJkpKenQ6fTwWAwIDU1FdOmTbPtt1gsWLVqFebOnYvnn3++V47U4SNtVQO++P4Svj5xBZeuVtl+Az6To8UrH/2GJ1//Hhn55RynJFw6f6m5mWrUIL8OjnRu4SHeEIsENPy7G7F6hZSQkIC4uDiYTCYsXboUERERiI+Px5o1a6BWq3Hx4kVYLBYcOXIEADBixAi8+uqrbEUiHUjPLMP+/+XDzUWMGeOCMDjYGyKhAGPClfDxcsXJi2p8lHIRz29Pw4Ip/RHs70m/SPRC5y+Vw1MmRf9+vfsWDVepGIOCvJFFAxu6Dav3IcXExCAmJsZuW3JyMgBg5MiRyMnJYfPlyS04f6kcx8+XIkjpgdkTQ+Dm8sdbw2yxQlfTiIEBCrz4yETsOZKDr05cwdBQH/xpbCCEVJR6DYZhcP5SOUYN6gNhL+4/ajF8gC8O/JCPxiYzXF1onoHbRT9BguxCHY6fL0VEWB9MiejX6oPmxmWcI8L6wN1NgiO/FEEsFuKOUf3oSqmXKNHWobKmEaMH9+7muhYjBvpi3/eXkFOkw+jByo6fQG6Keqd7OXVlPX44XYJApQeWzx/Wqd96BQIB5k/pj1GD/JCZX2HrUyDO7/yl5v7D3t5/1GJoqA+EAlCzXTehgtSLGZrMOPJLEdzdJIiOCoFEfGtvhykRfTEwwAtpGaW4Vl7HUkrCJ2dytejr6w5/X3euo/CCzFWCgYEKZNAvZd2CClIvxTAMfjhTAkOTGXMnhcBVeuuttwKBADPGBcHLwwVHfy1CQ6OJhaSEL4wmC85fqsDYIdQ0db3IcCVyr1ah3kDv/9tFBamX+u2iBgXXajBhuD/8vGVdPo9UIkJ0VAgajRb873QJraLpxLIuV8JosmAs3XMDs8VqmwMytK8cViuDXy/QlGa3iwpSL1RT14TdR3Kg8pF1S+d0H4UbJo7wR2GZnv5TOrFTORpIxUKMDOud89ddr8lksc0Bqa9vgkQsxNk2Zr8nt4YKUi+08+uLaGwyY8a4oG4bsj1qkB/8fWTYk5qLqlpa2tkZnc7WIGKQH1wkIq6j8IpIKESAnwdNtNoNqCD1MjmFOhz97SpmTwyBj9y1284r/L0/qbHJjE++zu628xJ+KK2oQ2lFPcZR/1GbglWeKK82oKyinusoDo0KUi9itTL4z4EM9PFyRczU/t1+fm+5K+ZMDMF3J68ip0jX7ecn3Pk1q7kpdmh/n1braNFaWkCQyhMAcDpHw3ESx0YFqRf58WwJLpfUYPn8YV0aVdcZC6b2h4/cFe/tz4DFSgMcnEV6ZhkG9POCh5u01TpatJYWoPB0gcpHht+oD/W2UEHqJYwmC3Z9m42BgV6YFhnI2uu4SsVYGTMc+SU1OPprEWuvQ3pOlb4ROUU6RI3sy3UUXhs1yA+Zlyvp9ofbQAWpl0j5uQDlVQasjBnO+hxk0yIDMHyALz755iL09UZWX4uw75cLajAMMIkK0k2NHtQHZosV5/JoNvyuooLUC+jrjfjiWB7GDVUhIoz9KV8EAgEeXzIS9Y1m7DlCE+g6ul8yy9C3jztC/D25jsJrAwMVcHeT4LeL1GzXVVSQnFxtgxEfpVxAQ5MZi+4YwHondMsNg+6uEtwZGYBv0wqRXUjDYR2Vvt6I85fKMWlEX5pAtwNikRBjhyhxKltD/addRAXJyRWV6fH9qWIMDfWBWtfAeif09TcM9u/nBbFYgF3f0DBwR5WWUQqLlcG0yACuoziEqBF9UVNnxMUr9EtYV1BBcnIHfsiHUCjAhGH+Pf7abi5ijBuqQublSpzJobvYHdGPZ5tngh8Q0LsX4+us8UNVkEpEOHG+lOsoDokKkhO7VFyF3y5qMHpQ8/pFXIgY2AdKbzd8kJIFSy8fGuxoyqsMuFBQiTvHBFJzXSe5uogxbqgSJ36/siS3hgqSk2IYBh9/dREeMgkiw7m7u14kEmLpjEG4qq5FKg0Ddyg/nysBw4Ca627R1IgAVNc2UbNdF7BakFJSUjBv3jzMnj0bu3fvbve4devWYf/+/WxG6XXO5pYjI78CMVMHQMrx3GMRYX0wOFiBXd9mo7C0BlpdA2obaDg4nzEMg+9OXkV4iDf69fHgOo5DGTdMBalYiOPnrnEdxeGwVpA0Gg0SExOxZ88eHDp0CJ9//jny8/NbHbNq1SocPnyYrRi9ktXK4OOvL0DlI8OdLN4E21lGsxWjBvmhtsGED1Mu4EyuFoZGM9exyE1kF+pQrKnDnIkhXEdxOG4uYkwY7o+fz5XCZKZm6lvBWkFKS0tDVFQUFAoFZDIZoqOjWxWelJQUzJw5E3Pnzm33PHq9HiUlJXZfajWN87+Zn86W4EqpHg/OHXrLq8CyRektw5AQb5zPr0BNXRPXcUgHjvxSBDcXEe4YTc11XTFzfDBqG4w4lU1z290KdiY0A6DVauHn98dNmEqlEhkZGXbHPProowCA06dPt3uenTt3IikpiZ2QTshktmDX4RwMCPDCtNEBqKg2cB3JJmpEX+SX1CA9swzTxwZxHYe0o85gwvHzpZg+NhBuLqx9RDi1yMF+8PZ0wbGTV2mGi1vA2rutrZVDuzJSZ/ny5ViyZIndNrVajWXLlnU5mzP7Jq0QWl0DVj82ifUpgm6Vu5sEY8L98NtFDS4VV0Hp0/WVagl7jp28CqPJgruiQrmO4rBEIiH+NDYIX/50GTV1TfDycOE6kkNgrT1HpVKhoqLC9lir1UKpvPXRXnK5HIGBgXZf/v49f0+NI6gzmPD50TyMHuTH6ci6mxk92A/ubhL892gerDQslncsFiu+/LkAw/r7ICxIwXUchzZzfBAsVgbHThZzHcVhsFaQJk+ejPT0dOh0OhgMBqSmpmLatGlsvRwBsOdIDuoMRqxYMIzrKO2SiEWY9Pty5z+cKeE6DrlBelYZtLoGLL4zjOsoDi/EX47hA3zxbfoVuiepk1i9QkpISEBcXBwWL16MBQsWICIiAvHx8cjMzGTrZXutK6U1+Pp4AeZOCsXAQAXXcW5qcLA3QvvK8ck3F9FopNF2fMEwDA7+cBl9fd0xYTi1QnSH+VP6Q13ZgDO0cF+nsNpjGRMTg5iYGLttycnJrY7bvHkzmzGcHsMw2P5/GfCQSfHQ3KFcx+mQQCDA/bMG4/Vdp3Dgh8v485xwriMRAOfyypF7tQqr7o6AiGf9j45q0si+8JG74qvjVzCeg+m7HA0/xgST2/K/08XILtQhdvZgNDSaHWJp6cHB3pgS0Q/7vr+E0oo6ruP0egzDYPeRHPRRuGHOxGCu4zgNsUiIeZNDcSZXi8IyPddxeI8KkoOrM5jwUcpFhAd7Y/wwf4daWjp+8QiIRQIk7T1PAxw4djpHi9yiKtw/azAkYm5n9nA286b0h5uLCF98l8d1FN6jguTgPvnmImrqm7DqnggIHWwCTF8vNzyycAQyL1fgyC+FXMfptSwWK3Z+fREqHxlmTfjj6qi2wWh3tc3nK24+85RJMX/KAPx8/hpKtLVcx+E1KkgO7HxeOb5NK8TCOwYijOcDGdoze0IwRg/yw0dfXYBW18B1nF7pcHohCsv0WBkzHGLRHx8JhkazQ11x89miaQMhEYvw+VG6SroZKkgOqt5gwtt7zyLAzx0PzeP/QIb2CAQCrL5vNBgGSPriXJs3VBP21NQ14dPDORg1qA/NKMAihacLYqb2xw9nSnCpuIrrOLxFBckBMQyDpC/OobKmEf/vz2PgwvFs3rdL5SPDivnDcDavHN+kFXIdp1fZcTAThiYz7pk+COVVBmqeuw1mi7VVE+f1M9vfN2swvDykeP9QFv3i1Q6aqMoBHfmlCMfPlyJu3lAMCfHhOk63mDu5P05ma/D+oSwMCfHm/b1UzuBERil+OnsNi6cNhEbXAM0NTabhId4cJXNMTSYLMvIrWm0fE66Ep0wKmasEy+4ainf3ncdPZ6/hzjHcz8TPN3SF5GByCnV470AmIgf74Z7pg7iO022EQgES/jwGXh5SvP7JKVoviWUV1Qa8u+88wgK9MHdyKNdxeo05E4IRFqTAjoOZqK6lWe9vRAXJgZRXGfDqx7/BT+GGvz44jneTp96Ktpo3mowWPH3faJRXG7B550nqQGeJyWzB5p0nYTJb8JcHxtoNZCDsEomE+H+xkWhoNGP7/vPUdHcDeic6iJq6Jvw9OQ1NRgteWDkBcncp15FuS5PJ0moE15lcLYKUnnj6vlHIyK/Av7+g/7DdrWVWj9yrVXgmdgyCVJ5cR+p1QvzleCA6HGkZZdRnegPqQ3IAdQYTNianQ1PZgI2PTUKwv5zrSKyaMS4YpRX1+PxoHtzdJHhk4fAuLV1CWtv1bTaO/nYV988ajCkR/biO02vdM30Qsgt1SD6YidC+zZOwErpC4r2q2kZsePc4Csv0WLd8PEYO7NPmDYvONipqWfQQxNwxAId+uoz3v8yimRxuE8Mw+Cw1F18cu4ToqBAsu2sI15F6NaFQgL88MBYqHxle+fBXXCmt4ToSL9AVEo8VqfV45cNfUVXbhBdXRmHMkOY1jlpuWLyRM42KEggEeHThCAgAfPlTAWrrjXj6vtE0rU0XWKwMPvgyCyk/F2DGuCA8cc8ouuLkAQ83Cf7x2CSs//dxvPheGl5dNQUhfZ279aMjdIXEUz+dLcFf3/4JTUYLXlk12VaMehOhUIBHF43Ag3cNwf9Ol2D9v4+jvIo/S7I7gpq6JmzckY6UnwuwcNoAPHN/JM3k3cPaGsDTMorU39cdr6yaDJFQgOeSfsbZNn7R7E3oColnqmob8f7BLPx07hrCQ7zx9H2j4SYV202r40xNcx0RCAS4f3Y4glSeeOu/Z/D0m//DY4tHYvrYQPotvwO/ZJXh3X3nUWcwYc19ozF7YghqG4wwNNqvQdWb3k9caOv+pJZ7kwAgUOmJN9bciU0f/IKNyem4d+ZgxM4J75WjHwWMAw5jKikpwcyZM3Hs2DEEBjrezWV7juTggejmNvyFfz2EL99YhIc3HcGCqQOw91gejCYLYueEY+n0QVj8XAoA4Kmlo/Dvfefx1NJR+ODLLDQanfNDxFUqgqdMinqDCYvuHIjPUnMBADIXMaxWBo3XfXi+/Zc/4ZesMgCw/Tx7k7/9+zhee2oq9hzJwaEfL+Pzf84HACQk/gCNrgG1DSb07ydHWXk9woIUGBnWx/bzBACJWAiTmYbW95Trf96uUhGEAoHtPZ7y5iI0NJpw//PfAABC/D3xyMIReGlHOlLeXISVL6fiwxfn2P7NV76cilkTgp3ufU9XSBz4LDXX9kZiGGD34RxU1DTi468vYtxQFR5ZOByByvaH4zprMQKa/26NxuZmues/PBuaWq8s+8y/frB9/+c54b3uiimroBLAHz+nzPwKpBwvQH7JHx3kbz5zJ+5el4Ksgkrb8S2oGPWs63/eLf+Hr3+Py1wldvtf2pEOAEjLKEV5dfP/iZZ/w/Jqg93niLNg9ZowJSUF8+bNw+zZs7F79+5W+7Ozs3HPPfcgOjoazz//PMxm51/OumW02Jc/Xcbf3j0OAPj8u+Y35ZbVd+Dvj0bdtBiRPyydEWb7/vHXjuHDlAs4f6m8V33QZl7XFLRh+wlkXbZvGpKIe1+zjyNq6VtqsX3dDMQvHgEAeG3nSQDAtr3nAABV+sYez9dTWLtC0mg0SExMxP79+yGVShEbG4uJEyciLOyPD5G1a9filVdewejRo7Fhwwbs3bsXDzzwAFuRepTZYoW+3ghtVQOuaetQoq1DYZke2YU6AEDyoSzbTYk7/jYL8f/8DkP7O8e8dD1l7qT+2Pd9PoDmCVpTfr6MAz/kw1UqwpAQH4T2kyO0rxzB/p7wU8ggd5c65OwWTSYLKqoNUFfWQ11Rj6uaWuRebZ4xesP2E7bjnn1gDKJG9sW9f/uaq6iki24cNSsRi7DwjoFIPpiFFx+ZiJc/+BUnzl8DAMT944jtuN2HcxCk8oCfQgZvuQsUni5wlTpuwxdrydPS0hAVFQWFQgEAiI6OxuHDh7F69WoAwLVr19DY2IjRo0cDAO6++2688847rQqSXq+HXm+/9O+1a83/MGq1usv5rpTWILeoCgya79FgmN//BMD8fhVjZRiAAVp+3265umGY5kXNjGYLjGYrjCYLTGYrDI1m6OuNqDWYYGg02b2eUCiAykeGkUEK/HxOg/Vx4+Etd8W6pJ+hUZfB1KBDSUlJq5ymhuYCVlmuhqlBZ/uTAGVlpbafxeMLxqLRGIDcIh0yL1eg4FopzmVdgum66YdEIgEUHi6QuUngKhXDzUUEV6kYrlIRxCIhhEIBREIhBAJAJBRAKBBAKGr+8/rWwJZeVwbN74/m76/bd0O3bPPbyP5AKwCz2QqTxQqz2QqzxQrT7382NllQZzCizmBCvcEMk9m+idZVKkb/fnKYGnR4+r7Rtt+cvV2bkHup0O79cf5CPr1fHEBlefNnWcu/1fkL+bbHbqiDqUGHdSum4m/vHse8yf3xTdoVAMCnX6bf+HaDq1QEubsL3FxEkErFkIqFcJGIIJWKIBULIRWLIBQKIPj9fS0UCiBE858QCCD8fZtAIMD1v74JALi4iDBpZL/bXmHA398fYnHr8sPaoIb33nsPDQ0NSEhIAAB88cUXyMjIwMsvvwwAOHv2LLZs2YLPPvsMAFBUVITHHnsMR44csTvPtm3bkJSUxEZEQgghHGhvQBprV0ht1bnrO5072t9i+fLlWLJkid02o9GI4uJihIaGQiTquRsl1Wo1li1bht27d8Pf37/HXvdWOEJGwDFyOkJGwDFyUsbu4wg5O8rYXm7WCpJKpcKpU6dsj7VaLZRKpd3+ioo/OmDLy8vt9reQy+WQy1vfvTxgwIBuTtx5/v7+vB9u7ggZAcfI6QgZAcfISRm7jyPkvNWMrA3BmTx5MtLT06HT6WAwGJCamopp06bZ9gcEBMDFxQWnT58GABw8eNBuPyGEkN6FtYKkUqmQkJCAuLg4LF68GAsWLEBERATi4+ORmZkJAHjjjTfw2muvYe7cuTAYDIiLi2MrDiGEEJ5jdXxgTEwMYmJi7LYlJyfbvh8yZAj27dvHZgRCCCEOgu6auwVyuRyrV69us0+LLxwhI+AYOR0hI+AYOSlj93GEnF3N6JBz2RFCCHE+dIVECCGEF6ggEUII4QUqSLfo1KlTuPvuuxETE4NVq1ahpoafSw+fPn0a99xzDxYtWoTly5fbplvio7fffhvbtm3jOkYrHU0OzBd1dXVYsGBBm1NP8UFSUhLmz5+P+fPnY8uWLVzHadfbb7+NefPmYf78+fjoo4+4jnNTr7/+OtavX891jHbFxcVh/vz5WLRoERYtWoTz58937okMuSWzZs1iLl26xDAMw2zdupV58803OU7UtunTpzPZ2dkMwzDMF198waxatYrjRK3p9Xrmb3/7GxMREcG88847XMexo1armenTpzNVVVVMfX09ExMTY/t355Nz584xCxYsYIYPH84UFxdzHaeVEydOMPfffz/T1NTEGI1GJi4ujklNTeU6Viu//vorExsby5hMJsZgMDDTp09nLl++zHWsNqWlpTETJ05k1q1bx3WUNlmtVmbKlCmMyWS65efSFdIt+uabbxAWFgaTyQSNRsPLkS5GoxHPPPMMhgxpXislPDwcZWVlHKdq7dixYwgNDcXDDz/MdZRWrp8cWCaT2SYH5pu9e/fi73//e5uznPCBn58f1q9fD6lUColEgoEDB6K0tJTrWK1MmDABn3zyCcRiMSorK2GxWCCTybiO1Up1dTUSExOxatUqrqO0q6CgAAKBAPHx8Vi4cCE+/fTTTj/Xcecp54hEIkFubi4efvhhiMVi/OUvf+E6UitSqRSLFi0CAFitViQlJWHWrFkcp2pt8eLFAMDL5jqtVgs/Pz/bY6VSiYyMDA4Tte3VV1/lOsJNDRo0yPZ9YWEhvvnmG/z3v//lMFH7JBIJ3nnnHXz44Ye46667oFKpuI7UyksvvYSEhARe/oLZQq/XY9KkSdi4cSMaGxsRFxeH/v37Y8qUKR0+l66Q2vHtt99i2rRpdl8rVqwA0HzFkZaWhieffNI2mzkfcxqNRvz1r3+F2WzG448/zsuMfMV0cvJf0jmXLl3CypUrsW7dOoSGhnIdp11r1qxBeno6ysrKsHfvXq7j2Pniiy/Qt29fTJo0iesoNxUZGYktW7ZAJpPBx8cHS5cuxY8//tip59IVUjvmzp2LuXPn2m1ramrCd999Z7vaWLhwIV5//XUu4tm0lRMA6uvr8cQTT0ChUGD79u2QSCRtPLtntJeRzzqaHJh03unTp7FmzRps2LAB8+fP5zpOmy5fvgyj0YihQ4fCzc0Nc+bMQW5ubsdP7EHffPMNysvLsWjRItTU1KChoQH//Oc/sWHDBq6j2Tl16hRMJpOtcDIM0+baR22hK6RbIBaL8Y9//ANZWVkAmn/zHzNmDMep2rZ27VqEhITg7bffhlQq5TqOw+locmDSOWVlZXjqqafwxhtv8LYYAUBJSQleeOEFGI1GGI1GHDt2DGPHjuU6lp2PPvoIX331FQ4dOoQ1a9ZgxowZvCtGAFBbW4stW7agqakJdXV1OHDgAGbPnt2p59IV0i0QiURITEzESy+9BIvFApVKxcs2/IsXL+LYsWMICwuz9dMolUq7eQTJzV0/ObDJZMLSpUsRERHBdSyH88EHH6CpqQmbN2+2bYuNjcWf//xnDlO1duedd+L8+fNYvHgxRCIR5syZw+sCymfTp0+3/SytViseeOABREZGduq5NHUQIYQQXqAmO0IIIbxABYkQQggvUEEihBDCC1SQCCGE8AIVJEIIIbxABYkQQggvUEEihBDCC1SQCOGJAwcOYObMmaivr0dDQwPmzp2LgwcPch2LkB5DN8YSwiPPPvssPD09YTQaIRKJ8PLLL3MdiZAeQwWJEB6pq6vDokWL4Orqiv3798PFxYXrSIT0GGqyI4RHKisr0dTUBL1eD61Wy3UcQnoUXSERwhMmkwmxsbGIjY2F1WrFvn37sGfPHk6XDiGkJ9EVEiE88a9//Qt+fn649957cf/990OhUCAxMZHrWIT0GLpCIoQQwgt0hUQIIYQXqCARQgjhBSpIhBBCeIEKEiGEEF6ggkQIIYQXqCARQgjhBSpIhBBCeIEKEiGEEF74/9Cg4xCF5ileAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sample.geweke_test(result)\n",
    "for i_chain in range(len(result.sample_result.betas)):\n",
    "    visualize.sampling_1d_marginals(\n",
    "        result, i_chain=i_chain, suptitle=f\"Chain: {i_chain}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 2-dim test problem: Rosenbrock banana"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The adaptive parallel tempering sampler with chains running adaptive Metropolis samplers is also able to sample from more challenging posterior distributions. To illustrates this shortly, we use the Rosenbrock function."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [],
   "source": [
    "import scipy.optimize as so\n",
    "import pypesto\n",
    "\n",
    "# first type of objective\n",
    "objective = pypesto.Objective(fun=so.rosen)\n",
    "\n",
    "dim_full = 4\n",
    "lb = -5 * np.ones((dim_full, 1))\n",
    "ub = 5 * np.ones((dim_full, 1))\n",
    "\n",
    "problem = pypesto.Problem(objective=objective, lb=lb, ub=ub)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 10000/10000 [00:35<00:00, 279.44it/s]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 35.6 s, sys: 47.5 ms, total: 35.7 s\n",
      "Wall time: 35.9 s\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    }
   ],
   "source": [
    "%%time\n",
    "sampler = sample.AdaptiveParallelTemperingSampler(\n",
    "    internal_sampler=sample.AdaptiveMetropolisSampler(), n_chains=10)\n",
    "result =sample.sample(problem, 1e4, sampler, x0=np.zeros(dim_full))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 20 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sample.geweke_test(result)\n",
    "ax = visualize.sampling_scatter(result)\n",
    "ax = visualize.sampling_1d_marginals(result)"
   ]
  }
 ],
 "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": "3.9.1"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}