{ "cells": [ { "cell_type": "markdown", "id": "bb0e09a0-783e-4c3e-8c13-b4fef138813d", "metadata": {}, "source": [ "# MPSlib: Estimation\n", "\n", "Johansson and Hansen (2021) demonstrate how to perform MPS estimation to directly obtain\n", "conditional statistics without the need for simulation.\n", "\n", " O.par['do_estimation'] # [0]: simulation, [1]: estimation\n", "\n", "See details about MPS estimation in:\n", "[Jóhannsson, Óli D., and Thomas Mejer Hansen. \"Estimation using multiple-point statistics.\" Computers & Geosciences 156 (2021)](https://doi.org/10.1016/j.cageo.2021.104894)." ] }, { "cell_type": "code", "execution_count": 1, "id": "895248a3-de05-4fb4-9395-83c764562efa", "metadata": {}, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import mpslib as mps" ] }, { "cell_type": "markdown", "id": "20153b76", "metadata": {}, "source": [ "## Setup" ] }, { "cell_type": "code", "execution_count": 2, "id": "41b99d69-c7f0-4a37-bec1-b7f696e07b34", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Using mps_genesim installed in /mnt/d/PROGRAMMING/mpslib (scikit-mps in /mnt/d/PROGRAMMING/mpslib/scikit-mps/mpslib/mpslib.py)\n" ] } ], "source": [ "O = mps.mpslib(method='mps_genesim', n_max_cpdf_count=100, simulation_grid_size=np.array([28, 43, 1]))\n", "#O = mps.mpslib(method='mps_snesim_tree', n_multiple_grids=1, simulation_grid_size=np.array([28, 43, 1]))\n", "O.par['verbose_level'] = 0\n", "\n", "# Set hard data\n", "d_hard = np.array([[ 3, 3, 0, 1],\n", " [ 8, 8, 0, 0],\n", " [12, 3, 0, 1]])\n", "\n", "# Set soft data\n", "d_soft = np.array([[ 20, 20, 0, 0.001, 0.999]])\n", "\n", "O.d_hard = d_hard\n", "O.d_soft = d_soft\n", "\n", "# Only co-located soft data\n", "O.par['n_cond_soft'] = len(O.d_soft)\n", "O.par['n_cond'] = len(O.d_hard)\n", "\n", "# Set training image\n", "O.ti = mps.trainingimages.strebelle(di=3, coarse3d=1)[0]" ] }, { "cell_type": "markdown", "id": "ac1002a3", "metadata": {}, "source": [ "## Estimation\n", "\n", "Run MPS estimation to obtain conditional probability maps and conditional entropy." ] }, { "cell_type": "code", "execution_count": 3, "id": "02af2ce6-c4eb-435c-8bd6-982d936ae449", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "loading entropy from ti.dat_ent_0.gslib\n", "loading estimation from ti.dat_cg_0.gslib\n", "loading estimation from ti.dat_cg_1.gslib\n", "Time used to perform MPS estimation: 37.2s\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "O.par['n_cond'] = len(O.d_hard) # For estimation, n_cond never needs to exceed the number of actual conditional data points\n", "O.par['n_real'] = 1\n", "O.par['do_estimation'] = 1\n", "O.par['do_entropy'] = 1\n", "O.par['n_max_cpdf_count'] = 100000000 # Needs to be large to compute the full conditional distribution\n", "O.par['n_max_ite'] = 50000 # the higher the better, but estimation is typically fast so this is not a problem\n", "O.delete_local_files()\n", "O.remove_gslib_after_simulation = 1\n", "\n", "O.run()\n", "print('Time used to perform MPS estimation: %4.1fs' % (O.time))\n", "\n", "# Get P(m_i == 1)\n", "P1 = O.est[1][:, :, 0].T\n", "# Get H(m_i) - conditional entropy\n", "H = O.Hcond[:, :, 0].T\n", "\n", "plt.figure()\n", "plt.subplot(121)\n", "plt.imshow(P1)\n", "plt.colorbar()\n", "plt.title('P(m_i = 1)')\n", "plt.gca().invert_yaxis()\n", "plt.subplot(122)\n", "plt.imshow(H)\n", "plt.colorbar()\n", "plt.title('Conditional entropy')\n", "plt.gca().invert_yaxis()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "6b67c61f", "metadata": {}, "source": [ "## Simulation\n", "\n", "Run MPS simulation for comparison with the estimation result." ] }, { "cell_type": "code", "execution_count": 4, "id": "53933071-2189-4d3e-9a3c-5631137f27bf", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "parallel: Using 64 of max 64 threads (128 logical processors)\n", "Time used to perform MPS simulation: 51.7s\n" ] }, { "data": { "image/png": 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", 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1vF5vwOvjxo1DdnY2du3a1eO53G43WltbAzYiIupFDHrz5s3Ys2cPPvroo277HA4HLBYLkpOTA15PT0+Hw9Hz5DllZWVYsWJFqNUgoijmgxG+MLKE+2Yp28gL6R3W1dXh3nvvxcaNG2Gz2SJSgdLSUrS0tPi3ujrlh09ERHKY8WdZJzHokHrQ1dXVaGxsxCWXXOJ/zefz4b333sMzzzyDHTt2wOPxoLm5OaAX3dDQgIyMnjMZrFYrrFZr72pPRFGJaXY9mDVrFvbv3x/w2qJFizBu3Dg88MADyMrKgtlsRkVFBebNmwcAqKmpQW1tLfLz8yNXayKiKBBSA52YmIhJkyYFvBYfH4/U1FT/63fccQdKSkqQkpKCpKQkLFmyBPn5+bj00ktDqlibZEOXFLx6opzTJrc4x/msR5wrmh2vPHk6ANhjOoVlRBq9ScIyVkF+sprJ0zNiWoRlhsSIH9SK8pPVxPhGmsV50KPNJxX3N/jEUboJVuVzAIBNxWIHyYJLGRMOCc9Rr5Dbf16bZFHcX+dNFV9HRe53Q8cwYRm3wu8gAKSZlRcgcHWJF6LoDZ9shE+wgIXy8RGsTB+K+EjC1atXw2g0Yt68eQEDVYiIIkWCAVIYDwmlaFlRpbKyMuBnm82G8vJylJeXh3tqIqKoxrk4iEh3+JCQiEijwo9B6yPEwfmgiYg0ij1oItKdcw8JueQVEZHmSGEO9dZLFgdDHEREGqXZHnRmzFnEmcVJ/cHYjOIE+QZXorCMR5CoDwAtXcoDXkTJ/AAwUEUZr4qBKCIWFQMyXCqu4xIMuMg0eYTn8ETgQU26SbwAgUnFf2cTjOK5ZSQoX6tNEr/n0THiPtEZqUNYRqRVEg/CGqhiQNIRd2gLbXxbouUhoWYbaCKiYCQYOVCFiEiLfLIBvjBmpAvn2G8TY9BERBrFHjQR6U74E/YzxEFE1Cck2QgpjIeEkk4eEjLEQUSkUexBE5HuMMRBRKRREsLLxBBnz2uDZhvoOIMH8YbggyFsBuVBAUMs4pVQhqSLyyQZw18tRY0UU7uwTJJReQUSl2wWnuO0T7zSzBeenteP/Locq/Livm0qfnnUDIgRrXRiUfE7qmZ4z1lJvLrLAMFgFpvC99VfF4O4wslGwa9ljHggiwnixZdPS/HCMiJfesSru1DvabaBJiIKJvyBKvp4/MYGmoh0J/yh3vpooPVRSyKiKMQeNBHpDueDJiLSqGgJcbCBJiLdCT8PWh8NtD5qSUQUhTTbg/6HaxhsMcGrl2lWzmFOjTkjvIZLsgjLqJkkPyOmRXG/JwIT7QORyVtNVZFv7eiyC8tUu4aHXRfRfQOA4eYmxf1tKkYcJKpYvCHRIB5Z1uRTzom3GcT9HbOKXGmrQTmfPd0kzndPNIoXD+iQxDn+Z2KUf8+yzcq/Z05JvEBEb0iyAVI4A1V0Mt2oZhtoIqJgwl+TUB/BA33UkogoCrEHTUS6E/50o/rom7KBJiLd8cEAXxi5zOEc+23Sx58RIqIoxB40EekOQxxERBrlQ3hhir5J/ou8kP6MrF27Fjk5OUhKSkJSUhLy8/Px5ptv+vfPnDkTBoMhYLvrrrsiXmkiomgQUg966NChePTRRzFmzBjIsow//elPuPHGG/HJJ59g4sSJAIDFixdj5cqV/mPi4uJ6VbEMczPizMGT+hNNykn2ZhV/I8VTtKubSF80EMWrYsp4NfWNFyxSMMjkFJ5DTa9jZtwXwjKiifSdsvirZVKx7JDZoDwSJU7FABO3itWNOlSUMQtunVnF+2nwuYVlmiXle5dpEn9XIrV4QLpJ+f4PMrUp7m+z9M3aJQxx9OCGG24I+Pm3v/0t1q5di927d/sb6Li4OGRkiFfkICLqrWiZLKnXtfT5fNi8eTOcTify8/P9r2/cuBEDBw7EpEmTUFpaio4O5eV53G43WltbAzYiIiXyv6Yb7e0m9zJ+XV5ejuHDh8NmsyEvLw8ffvihquM2b94Mg8GAuXPnhnS9kB8S7t+/H/n5+XC5XEhISMArr7yCCRMmAAB+9KMfYdiwYcjMzMS+ffvwwAMPoKamBn/961+Dnq+srAwrVqwItRpERN+qLVu2oKSkBOvWrUNeXh7WrFmDwsJC1NTUIC0tLehxx44dwy9+8QtcccUVIV/TIMtySOuPezwe1NbWoqWlBf/93/+NP/7xj6iqqvI30l/3zjvvYNasWTh8+DBGjRrV4/ncbjfc7q/icq2trcjKysLzey5BXELfxqDbpFhhmcQILBobqRi0RRD3jVQMWk1s+EKLQashikHHqYjpdqj4dfu2YtAdsvg8ov9iiyLMbW0Sxo5vQEtLC5KSkoTXE2ltbYXdbscvd14Pa4J40qhg3O1ePH7Z/4ZUr7y8PEyfPh3PPPMMAECSJGRlZWHJkiX4j//4jx6P8fl8uPLKK/HTn/4Uf/vb39Dc3Ixt27aprmfIIQ6LxYLRo0cjNzcXZWVlmDJlCp566qmgbwgADh8+HPR8VqvVnxVyfiMiUnJ+NrtwNgDdwqtf7yx+ncfjQXV1NQoKCvyvGY1GFBQUYNeuXUHruXLlSqSlpeGOO+7o1fsMO1IuSVLQN7V3714AwODBg8O9DBFRxGVlZcFut/u3srKyHss1NTXB5/MhPT094PX09HQ4HI4ej3n//ffxwgsv4Pnnn+91/UKKQZeWlmLOnDnIzs5GW1sbNm3ahMrKSuzYsQNHjhzBpk2b8N3vfhepqanYt28f7r//flx55ZXIycnpdQWJiL4pUiuq1NXVBfyv3Wq1hl03AGhra8Ntt92G559/HgMHDuz1eUJqoBsbG7FgwQKcPHkSdrsdOTk52LFjB6699lrU1dXh7bffxpo1a+B0OpGVlYV58+bhwQcf7FXFroo9gcS44B9AuLExAPDIypORA+rily5BHrSauG+GiriiRxC/7FAxCbmaieltKmKpHsFpXCpiraL4MiCOMZ8RxGsBcbz8XJnw78vxLjUT6YsXD+iQlM9zWLAfUPudU86wAgCr4DSJRuXvvruP5iSK1IT9asOqAwcOhMlkQkNDQ8DrDQ0NPaYVHzlyBMeOHQtITZakc9/3mJgY1NTUBH0u93UhNdAvvPBC0H1ZWVmoqqoK5XRERLpgsViQm5uLiooKf6qcJEmoqKhAcXFxt/Ljxo3D/v37A1578MEH0dbWhqeeegpZWVmqrsu5OIhIdyQYw1oVpTfHlpSUYOHChZg2bRpmzJjhjxYsWrQIALBgwQIMGTIEZWVlsNlsmDRpUsDxycnJANDtdSVsoIlId3yyAb4wQhy9OXb+/Pk4deoUli5dCofDgalTp2L79u3+B4e1tbUwGiM7QpENNBGRSsXFxT2GNACgsrJS8dgNGzaEfD020ESkO1zVm4hIo+QwZ7OTdTJZEhtoItIdrklIRET9SrM96GSjDUkKT0QlwVAU47f4t6ddUp6E3aViUhqzivqaBQMlBpnEAxjOqJowXlgEZ3zKE03FqRiQ0Sw4BwBUtY9X3G9TcR01LrLVC8ukGsWTUYm0qbi3ZhUDa0RSVNwXNRNaNUvK38sOWfk67b6+mrA/vDiyFKEJtPqaZhtoIqJgomVFFX3UkogoCrEHTUS6c35llHCO1wM20ESkO/0xkrA/MMRBRKRR7EETke5Ey0NCNtBEpDsSwhzqrZMYtD7+jBARRSHN9qAlwVCUGMFK2V0qVsm2Gnq/KvDXDTDFKe73yeJkfbfcJSwjGpxz2Cs+h2iwCwAc8yYLy4hWKt/nThGe44RngLCMSItXPNjFrWLVlQSTS1jGZbIo7h9ubhKeI9noEZYRUTNM+ZA3NezrAECGqVVxv2glGq+KlWp6Qw4zi0PWSQ9asw00EVEwnM2OiEijouUhoT5qSUQUhdiDJiLdYYiDiEijomWoN0McREQaxR40EekOQxz9rL7Ljdau4B38uAjc3xTlVF4AgE8W53GKJi3vUHGOUz7lHFsAOO1LVNw/3Nys4jrivOEkozgn+ESXcg5zk1e5rgAwytogLGOJwOT1arRK4vuSaOxU3H/MO1B4jlRTu7CM2aCcz24T7AeAZGOHsIya87RJtrD2O70+AI3C64QqWhpohjiIiDRKsz1oIqJgoqUHzQaaiHQnWhpohjiIiDSKPWgi0h0Z4eUy62RRbzbQRKQ/DHH0YO3atcjJyUFSUhKSkpKQn5+PN99807/f5XKhqKgIqampSEhIwLx589DQIE6lIiIKxfkGOpxND0JqoIcOHYpHH30U1dXV+Pjjj3HNNdfgxhtvxGeffQYAuP/++/Haa69h69atqKqqQn19PW6++eY+qTgR0YUupBDHDTfcEPDzb3/7W6xduxa7d+/G0KFD8cILL2DTpk245pprAADr16/H+PHjsXv3blx66aUhVeyf3mTEe1WMJAki3ugWljneJY5EuWQ1k/orJ+vXesWT12fEtAjLHPJkKO4/5h0kPMdYi0NYRnnYzTkZMc2K+4cknBWeIzECk9e3SeIBPmo+wwmmk8Iyji7lwTenfQnCczhV1DfbfEZxv0lFBNUri3+11ZTxyMq/g22CAT4dvr4ZaBQtIY5ex6B9Ph+2bt0Kp9OJ/Px8VFdXw+v1oqCgwF9m3LhxyM7Oxq5du4I20G63G273V41pa6vyCg5ERNHSQIecZrd//34kJCTAarXirrvuwiuvvIIJEybA4XDAYrEgOTk5oHx6ejocjuC9trKyMtjtdv+WlZUV8psgIroQhdxAX3TRRdi7dy8++OAD3H333Vi4cCEOHDjQ6wqUlpaipaXFv9XV1fX6XEQUHWTZEPamByGHOCwWC0aPHg0AyM3NxUcffYSnnnoK8+fPh8fjQXNzc0AvuqGhARkZwWOnVqsVVqs19JoTUdTifNAqSZIEt9uN3NxcmM1mVFRU+PfV1NSgtrYW+fn54V6GiCjqhNSDLi0txZw5c5CdnY22tjZs2rQJlZWV2LFjB+x2O+644w6UlJQgJSUFSUlJWLJkCfLz80PO4CAiUhItDwlDaqAbGxuxYMECnDx5Ena7HTk5OdixYweuvfZaAMDq1athNBoxb948uN1uFBYW4tlnn+2TihNR9Ao3jnxBxqBfeOEFxf02mw3l5eUoLy8Pq1IAcMSbjlhP8Oq5JTX5ycpaVExeb1UxqbnNqJw5bBXsB4AvO1KFZYZaTivuVzO5vSivVe15RJO9mw2S8Bw+FXHAM744xf2Rej+iHGdAnPNrM4jzukXnAIBtzZco7s+2KudJA+q+c2q0dCnff9F33+UV//5QcJyLg4h0hyEOIiKNYoiDiEij5DB70HppoDlhPxGRRrEHTUS6IwOQw5h1nxP2ExH1EQkGGDiSkIiI+gt70ESkO8zi6GceyQyjFLx6okEmLhUDWeo6BgjLJFs6hWUSY1yK+9PN4jmuB5rbhGVcsvJk701dygsHqJVlVh4QA4gHoqiZVL5ZEk+SJZoE36tioIqa9+MU3Fs1mrqShGUGxoi/C1ckfqG4X82k/591DhWWsZvE320R0e+h2xeZATPfJMkGGKIgD5ohDiIijdJsD5qIKBhZDjOLQydpHGygiUh3oiUGzRAHEZFGsQdNRLoTLT1oNtBEpDvRksXBBpqIdCdaHhIyBk1EpFGa7UG7pBggjFVT2lQM2kiziQeHqDHK1qi4P9XULjyHmgEXZsHKIMPNp4TnSDIqD6pRq0Pw2YjqCgBeWfz1E927nc4xwnPUe8UDkhq84kEmos/5kthjwnOoGRDjEgxEGWVRrgcAjLU0CMu0SuLfEdEKMI4uu+L+TnPfrKhyrgcdTgw6gpXpQ5ptoImIgomWh4QMcRARaRR70ESkOzLCm9NZJxEONtBEpD8McRARUb9iD5qI9CdKYhzsQROR/vwrxNHbDb0McZSXl2P48OGw2WzIy8vDhx9+GLTsX//6V0ybNg3JycmIj4/H1KlT8dJLL4V0Pc32oJu8ibB4g+faWo3K+ZWjY8W5opNsdcIyXojzk1ONTsX9mTHiidHjDOIvTIuk/GffqSKvWM1E+mr4BGu6HfKkCc9hM3qEZZKNHYr7r0k4IDzHF550YRk1E+mLFkyo9aYIz5EaI86JTzQqf1/UfIZxRvFE+Ykq7r8PymMFxghystt9ygs79FZ/jCTcsmULSkpKsG7dOuTl5WHNmjUoLCxETU0N0tK6f99TUlLwn//5nxg3bhwsFgtef/11LFq0CGlpaSgsLFR1TfagiYhUWLVqFRYvXoxFixZhwoQJWLduHeLi4vDiiy/2WH7mzJm46aabMH78eIwaNQr33nsvcnJy8P7776u+JhtoItKdcMIbX88AaW1tDdjcbneP1/N4PKiurkZBQYH/NaPRiIKCAuzatUtFfWVUVFSgpqYGV155per3yQaaiPTnfBw5nA1AVlYW7Ha7fysrK+vxck1NTfD5fEhPDwyXpaenw+FwBK1mS0sLEhISYLFYcP311+Ppp5/Gtddeq/ptajYGTUTU1+rq6pCU9NU8LFareCHjUCQmJmLv3r1ob29HRUUFSkpKMHLkSMycOVPV8WygiUh3IvWQMCkpKaCBDmbgwIEwmUxoaAichKqhoQEZGRlBjzMajRg9ejQAYOrUqfj8889RVlamuoEOKcRRVlaG6dOnIzExEWlpaZg7dy5qamoCysycORMGgyFgu+uuu0K5DBGRMjkCWwgsFgtyc3NRUVHhf02SJFRUVCA/P1/1eSRJChrn7klIPeiqqioUFRVh+vTp6Orqwq9//WvMnj0bBw4cQHx8vL/c4sWLsXLlSv/PcXFxoVyGiEhzSkpKsHDhQkybNg0zZszAmjVr4HQ6sWjRIgDAggULMGTIEH8cu6ysDNOmTcOoUaPgdrvxxhtv4KWXXsLatWtVXzOkBnr79u0BP2/YsAFpaWmorq4OeDIZFxen2O0nIgpHf8zFMX/+fJw6dQpLly6Fw+HA1KlTsX37dv+Dw9raWhiNXwUlnE4n7rnnHnz55ZeIjY3FuHHj8F//9V+YP3++6msaZLn3kZzDhw9jzJgx2L9/PyZNmgTgXIjjs88+gyzLyMjIwA033ICHHnooaC/a7XYHdPlbW1uRlZWFzXvHIy4x+CARM5QnhE81KQ8eAYCsGHEyv5oYkEkwaMOoYhCK6BwA4PuWxqeqqUuHrHz/2wSDagDA4RP/z6pZUi4jmtxeLaeK83zWOVRxv03F4JBTnkRhGYtgEFajS3yO61L3C8uomdRfNCBJNGjG2SZhds5xtLS0qIr1irS2tsJutyP7D0thjBUvOBCM1OlC7Z0rI1avvtLrh4SSJOG+++7D5Zdf7m+cAeBHP/oRhg0bhszMTOzbtw8PPPAAampq8Ne//rXH85SVlWHFihW9rQYR0QWr1w10UVERPv30026jYu68807/vydPnozBgwdj1qxZOHLkCEaNGtXtPKWlpSgpKfH/fL4HTUQUTLRMN9qrBrq4uBivv/463nvvPQwdqvzfvry8PADnwiE9NdBWqzXiuYdEdIGLktnsQmqgZVnGkiVL8Morr6CyshIjRowQHrN3714AwODBg3tVQSKi7gz/2sI5XvtCaqCLioqwadMmvPrqq0hMTPQPcbTb7YiNjcWRI0ewadMmfPe730Vqair27duH+++/H1deeSVycnL65A0QEV2oQmqgz+fvfXMUzPr163H77bfDYrHg7bff9ucHZmVlYd68eXjwwQcjVmEiIoY4eiDKyMvKykJVVVVYFSIiEoqSBpqz2RERaZRmJ0vKjmlGQkzv/36YDeKVHDwqxuiI11OB8HmDUxLXRc26E8HXlznHZhDfLzWDZtQMiBFdaWiMODNnaIzyYBcAOOVrUtzfIok/oYMqVlRp6hIPVnBLyr8uf28YKTyHxyeu7+TUk4r702zKq5wA6t6PaIUYABhiPqO4f3jMWcX9BmPfrKjy9SlDe328Dmi2gSYiCqY/lrzqDwxxEBFpFHvQRKQ/UfKQkA00EelPlMSgGeIgItIo9qCJSHcM8rktnOP1gA00EekPY9D9K8HoQ6Ix+F2s61KeyN1mUJ70HABcKnKlHV3iydGTjC5hGWFdZFGWs1iiinokqphU3qaie+EVFLEZxDnOZoM4JzjZKPqKij/ncSomph9jaRSWOWRJUz5HrPg6qaZ2YRmR076EiFxnjIr7IvocXbLyZ+jqq1gvY9BERNSfNNuDJiIKiiEOIiKNipIGmiEOIiKNYg+aiPQnSnrQbKCJSH+YxUFERP2JPWgi0h2OJOxnNoMBNoXJ5QeZOgXHR+gTiBFPjr7XNVRxf5sUKzxHrTtVWCbd3Kq43yWFP9gFAKbEHReWSTZ2KO5vlsQDSJKNbmGZgSblgRCDTOKFAdJN4v8oqhk0M9HcrLi/C6eF57Aawv+MvLLyIgbnyogHCnXI4kFLHYKJk4cKbm2rua8m7EdUxKAZ4iAi0ig20EREGqXZEAcRUTAGhBmDjlhN+hYbaCLSH6bZERFRf2IPmoj0J0qyONhAE5H+sIHuXx5ZhkchBzPFqBxDUpPXerxLHIcyqfgkJ1rrFfcf8qQLz5ER3yIs87e2sYr7a50DhOfwSOKP/I36icIyyTblPPTvpf9DeI7h5lPCMnGGs4r7babIfIW/7BJPcL+s/jrF/Z8+O1l4jkn37BeWuXngx4r7r48TL8yg5vtvUhGHNcvK+extknK+dbvUR3nQUUKzDTQRUTAcSUhEpFVREuJgFgcRkUaxB01E+sMedHdlZWWYPn06EhMTkZaWhrlz56KmpiagjMvlQlFREVJTU5GQkIB58+ahoUG8ejARkVrnY9DhbHoQUgNdVVWFoqIi7N69G2+99Ra8Xi9mz54Np9PpL3P//ffjtddew9atW1FVVYX6+nrcfPPNEa84EdGFLqQQx/bt2wN+3rBhA9LS0lBdXY0rr7wSLS0teOGFF7Bp0yZcc801AID169dj/Pjx2L17Ny699NLI1ZyIoheHeou1tJzL3U1JSQEAVFdXw+v1oqCgwF9m3LhxyM7Oxq5du3o8h9vtRmtra8BGRKRIjsCmA71+SChJEu677z5cfvnlmDRpEgDA4XDAYrEgOTk5oGx6ejocDkeP5ykrK8OKFSu6vd4qmSBJwf9+uA3KCfLOCP2FdMnihH+XrHwbs8ziidz3uoaprlMwAyzKg0cAoNMnnjDeYhRPti8a8PL/GqYIz5E7oFZYpk2qU9yfZ1MeJAQAQ2MShGXSTeJFFe7NeFtxv2PpB8JzDIkRd0BSjMrfba8srqtRxXxtZ3ziBRNEU/q3Scq/H+1S3/RUoyUPutc96KKiInz66afYvHlzWBUoLS1FS0uLf6urU/6FJCKKFr3qQRcXF+P111/He++9h6FDv1ruKSMjAx6PB83NzQG96IaGBmRkZPR4LqvVCqtVvGwREZEf0+y6k2UZxcXFeOWVV/DOO+9gxIgRAftzc3NhNptRUVHhf62mpga1tbXIz8+PTI2JiMJNsdNJAx1SD7qoqAibNm3Cq6++isTERH9c2W63IzY2Fna7HXfccQdKSkqQkpKCpKQkLFmyBPn5+czgICIKUUgN9Nq1awEAM2fODHh9/fr1uP322wEAq1evhtFoxLx58+B2u1FYWIhnn302IpUlIgIQNSGOkBpoWbAEOwDYbDaUl5ejvLy815UiIlIUJQ00J0siItIoTpZERLoTLXnQmm2gv/CkIc4TPAn+tE958EGqSbxChlfFIBSPijLZ5jOK+7/w9Jxi+HXDLeLVRdyS8iCTWqQIz3HWIx7kEIkBL2MSGoXnuDrhc2GZRKPy6iEdKgYkfeF1CsvYVPzGZpiUrzVMxSAUNWwG5bRTr6w8kAUA3IKVUABAfBagWTAgqUPwnXRyRZWwMMRBRKRRmu1BExEFFSUPCdlAE5HuMAZNRKRlOmlkw8EYNBGRRrEHTUT6wxg0EZE2MQbdzw6502EzB8+xbPEp5/MekDIjUo82r01YZqBVOefaZhRNew40eROFZYZalCf+zzSfFZ5jTKx48vpEozgPOjVG+T2bVWTZmg3iXF3RYghtXeLPxylbhGX+9+xUYRk1CxmITIgTLzDQ7lN+T5fEHhOeY7RZnJPdIphsX40vPOmK+zu9XQCOh32daKXZBpqIKCiGOIiItClaQhzM4iAi0ig20ESkP/20qnd5eTmGDx8Om82GvLw8fPjhh0HLPv/887jiiiswYMAADBgwAAUFBYrle8IGmoj0px8a6C1btqCkpATLli3Dnj17MGXKFBQWFqKxseeJwSorK3Hrrbfi3Xffxa5du5CVlYXZs2fjxIkTqq/JBpqIolZra2vA5na7g5ZdtWoVFi9ejEWLFmHChAlYt24d4uLi8OKLL/ZYfuPGjbjnnnswdepUjBs3Dn/84x8hSVLAmq0ibKCJSHfCWTD26w8Ys7KyYLfb/VtZWVmP1/N4PKiurkZBQYH/NaPRiIKCAuzatUtVnTs6OuD1epGSIp4W+DxmcRCR/kQoza6urg5JSUn+l63Wnufibmpqgs/nQ3p6YN53eno6Dh48qOqSDzzwADIzMwMaeRHNNtBVp8YgpiP4xOXDE5QnyY8Uq0k8OKHJrTz4QzSQBQDGqxjAkCJYhCDeGPy/Z+ddYvtSWOaMYKAEAGTGKA9maVMxCMJuVDPxvPJ+p2AgCwA4u8QDVWbZDwjLiBz3DBSWGWtxCMuIFolQswBErVfcS4s3eoRlRAtfZMS0KO53mtQsC9ALEWqgk5KSAhrovvLoo49i8+bNqKyshM0m/v06T7MNNBGRVgwcOBAmkwkNDQ0Brzc0NCAjQ/kP5hNPPIFHH30Ub7/9NnJyckK6LmPQRKQ7kYpBq2WxWJCbmxvwgO/8A7/8/Pygx/3ud7/Dww8/jO3bt2PatGkhv0/2oIlIf/phqHdJSQkWLlyIadOmYcaMGVizZg2cTicWLVoEAFiwYAGGDBnif9D42GOPYenSpdi0aROGDx8Oh+NceCshIQEJCeI5cQA20EREqsyfPx+nTp3C0qVL4XA4MHXqVGzfvt3/4LC2thZG41dBibVr18Lj8eD73/9+wHmWLVuG5cuXq7omG2gi0p3+moujuLgYxcXFPe6rrKwM+PnYsWO9u8jXsIEmIv2Jktns+JCQiEijNNuDTotthzk2eJ6mKD95dGzP4+O/7rK4QyHXqzfMBnEuqFeQ+woAI80uxf12ozjfFxCXGaHiW2FEnHIBFXPBd6mY1N8nK3d1TAaD8BzjzU5hGbfcLCzTJil/5y6ziXPZ22Rxfduk4AtVAECSUfl7AAApJnEZryzun/mgXN+6rmTF/eEvcRBElPSgNdtAExEFY/jXFs7xesAQBxGRRrEHTUT6EyUhjpB70O+99x5uuOEGZGZmwmAwYNu2bQH7b7/9dhgMhoDtuuuui1R9iYi+9ZGE/SXkBtrpdGLKlCkoLy8PWua6667DyZMn/dtf/vKXsCpJRBSgn1ZU+baFHOKYM2cO5syZo1jGarUKJxAhIiJlffKQsLKyEmlpabjoootw99134/Tp00HLut3ubqsaEBEJXeC9Z6APGujrrrsOf/7zn1FRUYHHHnsMVVVVmDNnDny+nnNey8rKAlY0yMrKinSViOgCEy0x6Ihncdxyyy3+f0+ePBk5OTkYNWoUKisrMWvWrG7lS0tLUVJS4v+5tbUVWVlZuDipDraE3lcvL+6wsEyc0SssMyxG/EmaBFmVzYIBDgCQbooVljEb4oVl9EQSDEIBABiksK9zVhIP2jCryIxNNCp/H72yuK4+iMtkmpXLnJHEE+3HqRjA45LFA4U6BANrhsecVdzfHhP+5xfN+jwPeuTIkRg4cCAOH+65wbRarf5VDb6t1Q2ISOf4kDAyvvzyS5w+fRqDBw/u60sRUZTor9nsvm0hN9Dt7e0BveGjR49i7969SElJQUpKClasWIF58+YhIyMDR44cwa9+9SuMHj0ahYWFEa04EdGFLuQG+uOPP8bVV1/t//l8/HjhwoVYu3Yt9u3bhz/96U9obm5GZmYmZs+ejYcffjjoarlERCGLkpGEITfQM2fOhKzwcGfHjh1hVYiISCRaQhycLImISKM4WRIR6Q9DHEREGsUGun/NjD+IhITgERibYJUSNatFpBjFifqSivMkGJUfgCbE2ITnuNB4VQyCaPB1qiijvAKMSxZ/hW0G5RVKAMAcgQExNhWBTTX17RDcu2RjZKabt6gYzGIStGQ+we+h0dg3A1UYgyYion6l2R40EVFQDHEQEWmTQZZhUDOXi8LxesAQBxGRRrEHTUT6wxAHEZE2MYuDiIj6lWZ70AONXUg0Bv/7kWJSzj02qvjbYzaYQq6X3qnJT1ZT5miXcpk2STl/GQBapQHCMm2S8kIGji678BxuSZwHPTAm/KXWss1nhGVSTB3CMqIcfodPnL/s6EoUlhmi4j2LxgqIJvTvFOzvNYY4iIi0iSEOIiLqV+xBE5H+MMRBRKRN0RLiYANNRPoTJT1oxqCJiDSKPWgi0iW9hCnCwQaaiPRHls9t4RyvA5ptoFNNsUgyBY/AuGWv4vGxKgah+GTxZOJdEA/acMldivs7JBWDQ4QlgERD+BGpNhXvua4rTlimWUpS3O9SMVBFzSCTRKPypP5mwYTxAOCGeKDKZ51DxeeRlH9dPjOKz5FtPS0sM8biUNx/zDtIeA41zvgShGVSTO2K+1NNTsX97VLfTNgfLTTbQBMRBcMsDiIirWIWBxER9Sf2oIlIdwzSuS2c4/WADTQR6Q9DHERE1J/YgyYi3WEWRz9zy164FSYudwkmlffKLuE1nCpygo+ryAk+4hmsuN+iIle33iuevF40qbxLFuceq+GVxTnkLYL7Yo8RT0yfKsixBYDPXZmK+60G5Rx0ALAZ1WSZi7V5bYr7G33ifOu2LuVzAECjVznHfJS1QXgONd85NUTnccnKTYhbxe9Yr3CgChGRNkVLD5oxaCIijQq5gX7vvfdwww03IDMzEwaDAdu2bQvYL8syli5disGDByM2NhYFBQU4dOhQpOpLRPRVFkc4mw6E3EA7nU5MmTIF5eXlPe7/3e9+h9///vdYt24dPvjgA8THx6OwsBAulzgmTESkxvkQRzibHoQcg54zZw7mzJnT4z5ZlrFmzRo8+OCDuPHGGwEAf/7zn5Geno5t27bhlltuCa+2RERRJKIx6KNHj8LhcKCgoMD/mt1uR15eHnbt2tXjMW63G62trQEbEZGi81kc4Ww6ENEG2uE4N01ienp6wOvp6en+fd9UVlYGu93u37KysiJZJSK6AEVLiKPfszhKS0vR0tLi3+rq6vq7SkREmhDRPOiMjAwAQENDAwYP/mrwRkNDA6ZOndrjMVarFVartdvrH7gSEG8OPmCiTYpVrMtpFZORH+hQHgQBAB7BJO0A4OhMVNz/j+PiidzVMMUoJ/0nJ4kHh1hM4gEM2YlnhWViTcqDP461pwjPMXlAvbgu1jOK+0WDdwDgS0+qiuuIJ9IXDXhxSeKBKhNjvxSWSY1RHsAzPEb8+ZhVzAaUqKIbeUZSHrTUJliYwdRX6RKciyN0I0aMQEZGBioqKvyvtba24oMPPkB+fn4kL0VEUSxaQhwh96Db29tx+PBh/89Hjx7F3r17kZKSguzsbNx33334zW9+gzFjxmDEiBF46KGHkJmZiblz50ay3kREF7yQG+iPP/4YV199tf/nkpISAMDChQuxYcMG/OpXv4LT6cSdd96J5uZmfOc738H27dths4nnICAiUkWSz23hHK8DITfQM2fOhKyQomIwGLBy5UqsXLkyrIoREQUVJTFoTpZERLpjQJiTJUWsJn2r39PsiIioZ+xBE5H+cD5oIiJtipb5oDXbQG86lQ9zR/Ak+No25RVI2lzdB7/0hrdLvLpIZ5Py6iKWJvE50j8WDyCJ3fah4v76X1wmPEdTlngAw8kUu7CMNVZ50EZCrFt4jo9PZQvLZA9VHqhyxJ2uuB8A7KZOYZlEo7jMxIQTgnOIZ2xMNnqEZcyCAKnNII6gNqtYyKTeJ16BRzTgJVHwfgxGnSyfrVJ5eTkef/xxOBwOTJkyBU8//TRmzJjRY9nPPvsMS5cuRXV1NY4fP47Vq1fjvvvuC+l6jEETkf70w3zQW7ZsQUlJCZYtW4Y9e/ZgypQpKCwsRGNjY4/lOzo6MHLkSDz66KP+UdahYgNNRLpjkOWwNwDdZtJ0u4P/z2/VqlVYvHgxFi1ahAkTJmDdunWIi4vDiy++2GP56dOn4/HHH8ctt9zS43QWarCBJqKolZWVFTCbZllZWY/lPB4PqqurA6ZSNhqNKCgoCDqVciRoNgZNRBSU9K8tnOMB1NXVISnpq1XUg/V0m5qa4PP5epxK+eDBg2FURBkbaCLSna+HKXp7PAAkJSUFNNBawxAHEZHAwIEDYTKZ0NDQEPB6Q0NDrx8AqsEGmoj051vO4rBYLMjNzQ2YSlmSJFRUVPTpVMqaDXH8syUVJm/wJ59nPxsY9jXMrZEZkR+TpPxpexPF34aGaeJcacto5TznGPF8/RhULX7PZyaJZx7sTFKenN4dL568XvKI3/NmX67i/jlDDwjPcUnsMWEZjyyui9nQpbg/06Qmx1l8/80G5X5Tk0+cM+9V8X7apPBnmBTlfrvkPpr1oh9GEpaUlGDhwoWYNm0aZsyYgTVr1sDpdGLRokUAgAULFmDIkCH+B40ejwcHDhzw//vEiRPYu3cvEhISMHr0aFXX1GwDTUQUTH+MJJw/fz5OnTqFpUuXwuFwYOrUqdi+fbv/wWFtbS2Mxq/+uNbX1+Piiy/2//zEE0/giSeewFVXXYXKykpV12QDTUSkUnFxMYqLi3vc981Gd/jw4YpTM6vBBpqI9IeTJRERaZNBOreFc7weMIuDiEij2IMmIv1hiIOISKOiZE1ChjiIiDRKsz3oeVl7YUsIXr2Pk4cpHr/35BDhNbz/TBSWkQaLJ2EXDbgwxylPbg8AcpqwCERT4Hd0if/eSk7xAJLkfeKvhTtFuYz7IvF7zh93RFhmUmK98nVkcV0dXeIFCMZYGoRl0gUDUcTDR4A2VQ+nlAvVd4nnjvjCE5nhx0PMygsmiCYsckpq7kroIjUXh9ZptoEmIgoqSmLQDHEQEWkUe9BEpD8ywpsPWh8daDbQRKQ/jEETEWmVjDBj0BGrSZ9iDJqISKPYgyYi/YmSLA7NNtB3J/8TSYnBO/iNSfsUj+8YKr7GwaniSf+TjeJZ8L2CXFzRpOYA4FKRz3vEo5ws7ZItwnM0ecW53+58cV2GWM4q7h9rcQjPMcjkFJZJNCrn0ar5L6BNxST5HSp+YTsEk8+7VEyS3yGJ89BdsnIZNTnOaj7nFl+ssMwJzwDF/aLvQae3C4A43z1kEoBw1gLgZElERBSOiDfQy5cvh8FgCNjGjRsX6csQURQ7n8URzqYHfRLimDhxIt5+++2vLhKj2UgKEekRY9BhnDQmpk+XIiciigZ9EoM+dOgQMjMzMXLkSPz4xz9GbW1t0LJutxutra0BGxGRovM96HA2HYh4A52Xl4cNGzZg+/btWLt2LY4ePYorrrgCbW1tPZYvKyuD3W73b1lZWZGuEhFdaNhA986cOXPwgx/8ADk5OSgsLMQbb7yB5uZmvPzyyz2WLy0tRUtLi3+rq6uLdJWIiHSpz5/eJScnY+zYsTh8+HCP+61WK6xWa19Xg4guJFGSB93nDXR7ezuOHDmC2267ra8vFcBuFH96s2PFAyUkFZ+kT+5S3G82iAcwqPmvzKXWRsX9XSqmjP+ySzTtvzopxvD/82VUMYAkwRAX9nXUiBN8hgDQJClP2F/fJa5rrTdFWOazTuVRVnZTp/AcjSoGqngk8a9/G2yK+7/sVB7I4mn3ANgpvE6oomWypIiHOH7xi1+gqqoKx44dw86dO3HTTTfBZDLh1ltvjfSliChaRUkMOuI96C+//BK33norTp8+jUGDBuE73/kOdu/ejUGDBkX6UkREF7SIN9CbN2+O9CmJiAJJMmAIoxcsRWkPmoioz0XJSEJOlkREpFHsQRORDoX7oE8fPWg20ESkPwxxEBFRf9JsD9pkMMJkCP73wys4/mHHLOE1jkwXr3Ti2DZeWOa6YZ8r7h9lUx5gAgBDzGeEZeINygMldjrFdT3SIU53/Nghng8lY67yez77v2OE5/ivSRuEZeJilHs6agYBuWXRt0U8CAUATvmUV6zxqFhRJSOmRVjGZVO+TpJRPFBlqOW0sEybJF5RJVFwLdEqPp2mLmwSXqUXJBlhhSmYxUFE1Edk6dwWzvE6wBAHEZFGsQdNRPoTJQ8J2UATkf4wBk1EpFFR0oNmDJqISKPYgyYi/ZERZg86YjXpU5ptoN2yF245eAd/iEl5cvSVGRXCa3x6RMWk5vJnwjLDzc2K+wepWDwgwSheVcYrK0/If7F1r/AcEM8XD1uWiq/FCVGBj4SniIE4D1cpFx4AOlTkL3tVLGSgxiCT8rUSjeJ8a6/Cd/o80ffJpSLfuk1Szk8GAKck/s5lxPS8luh5ji7l3yFnTGTufTcMcRARUX/SbA+aiCgoSUJYCwtK+hiowgaaiPSHIQ4iIupP7EETkf5ESQ+aDTQR6U+UjCRkiIOISKPYgyYi3ZFlCXIYU4aGc+y3SbMN9CGvDwne4P8NMaFL8XizeGwIBpmcwjJmg/iDNAn+q+VUEe9y+cSTsHcITuOUxR/nIU+asIxXxUAIs0F5AIJooncAiDe6hWVEqVQZgsEjAGBV8V0YaBQP7JAEdan3iQdlqPk+iQaiqBmEMiymQ1jGLYvLNAuulSr4HbKa+qghlOXwwhSMQRMR9RE5zBi0ThpoxqCJiDSKPWgi0h9JAlSEi4JiDJqIqI8wxEFERP2JPWgi0h1ZkiCHEeJgmh0RUV+JkhCHZhvoj1zDERsTvHqiXN2KpnHCa3zZliws094pntR89oiDwjIi9hhx3rDVoJz7/WlbpvActW0DVNdJyZl25QUTurziXOqxgxuFZXIH1Cruz4mtE55DTV63GsPNTYr7M2OUPx9AXUxRlONvMooblxZJ/J59ECeIh3vvumQVSegUVJ/FoMvLyzF8+HDYbDbk5eXhww8/7KtLEVG0keTwNx3okwZ6y5YtKCkpwbJly7Bnzx5MmTIFhYWFaGwU95iIiIRk+VyqXK+3KG6gV61ahcWLF2PRokWYMGEC1q1bh7i4OLz44ot9cTkiogtSxGPQHo8H1dXVKC0t9b9mNBpRUFCAXbt2dSvvdrvhdn81J0Nra2ukq0REFxhZkiEbet8LlqO1B93U1ASfz4f09PSA19PT0+FwOLqVLysrg91u929ZWVmRrhIRXWjCCm9IvR5JGOqzta1bt2LcuHGw2WyYPHky3njjjZCu1+8DVUpLS9HS0uLf6urET+WJKLrJkhz2FqpQn63t3LkTt956K+644w588sknmDt3LubOnYtPP/1U9TUj3kAPHDgQJpMJDQ0NAa83NDQgIyOjW3mr1YqkpKSAjYhIa0J9tvbUU0/huuuuwy9/+UuMHz8eDz/8MC655BI888wzqq8Z8Ri0xWJBbm4uKioqMHfuXACAJEmoqKhAcXGx8PjzsSFXu3IuqFcQQ/I6xfME+zrE8xH7OsV/aT3tXmEZEXeM+ByyIA9azXvucqqZg1nM16H8t11SkQetpr5us/J96egSz8Ec/qdzjjNG+b/FbYL9gLoekUfwlXNFKLdYTR50pxTeiDtn+7njIx3z7ZLdYU141PWvb8U3n3lZrVZYrd3HPoT6bA0Adu3ahZKSkoDXCgsLsW3bNvUVlfvA5s2bZavVKm/YsEE+cOCAfOedd8rJycmyw+EQHltXV3d+iBA3btwukK2uri4ibUtnZ6eckZERkTolJCR0e23ZsmU9XvfEiRMyAHnnzp0Br//yl7+UZ8yY0eMxZrNZ3rRpU8Br5eXlclpamur32ycjCefPn49Tp05h6dKlcDgcmDp1KrZv397twWFPMjMzUVdXh8TERBgM5/7Ct7a2IisrC3V1dQyBRADvZ2TxfgYnyzLa2tqQmSke5aqGzWbD0aNH4fGI//clIsuyv405r6fec3/qs6HexcXFqkIa32Q0GjF06NAe9zFGHVm8n5HF+9kzu90e0fPZbDbYbLaInlMk1GdrAJCRkRFS+Z70exYHEZHWff3Z2nnnn63l5+f3eEx+fn5AeQB46623gpbviWYnSyIi0pKSkhIsXLgQ06ZNw4wZM7BmzRo4nU4sWrQIALBgwQIMGTIEZWVlAIB7770XV111FZ588klcf/312Lx5Mz7++GP84Q9/UH1NXTTQVqsVy5Yt01x8SK94PyOL9zM6iJ6t1dbWwmj8Kihx2WWXYdOmTXjwwQfx61//GmPGjMG2bdswadIk1dc0yLJOxjwSEUUZxqCJiDSKDTQRkUaxgSYi0ig20EREGsUGmohIozTfQHNtw9557733cMMNNyAzMxMGg6HbBC2yLGPp0qUYPHgwYmNjUVBQgEOHDvVPZXWgrKwM06dPR2JiItLS0jB37lzU1NQElHG5XCgqKkJqaioSEhIwb968biPJiEKh6Qaaaxv2ntPpxJQpU1BeXt7j/t/97nf4/e9/j3Xr1uGDDz5AfHw8CgsL4XK5vuWa6kNVVRWKioqwe/duvPXWW/B6vZg9ezacTqe/zP3334/XXnsNW7duRVVVFerr63HzzTf3Y61J91RPq9QPZsyYIRcVFfl/9vl8cmZmplxWVtaPtdIfAPIrr7zi/1mSJDkjI0N+/PHH/a81NzfLVqtV/stf/tIPNdSfxsZGGYBcVVUly/K5+2c2m+WtW7f6y3z++ecyAHnXrl39VU3SOc32oM/Pv1pQUOB/TTT/Kqlz9OhROByOgHtrt9uRl5fHe6tSS0sLACAlJQUAUF1dDa/XG3BPx40bh+zsbN5T6jXNNtChrm1I6p2/f7y3vSNJEu677z5cfvnl/mG7DocDFosFycnJAWV5TykcupiLg0hLioqK8Omnn+L999/v76rQBU6zPejezL9K6py/f7y3oSsuLsbrr7+Od999N2De8oyMDHg8HjQ3NweU5z2lcGi2ge7N/KukzogRI5CRkRFwb1tbW/HBBx/w3gYhyzKKi4vxyiuv4J133sGIESMC9ufm5sJsNgfc05qaGtTW1vKeUq9pOsQhmn+Vgmtvb8fhw4f9Px89ehR79+5FSkoKsrOzcd999+E3v/kNxowZgxEjRuChhx5CZmamf6FfClRUVIRNmzbh1VdfRWJioj+ubLfbERsbC7vdjjvuuAMlJSVISUlBUlISlixZgvz8fFx66aX9XHvSrf5OIxF5+umn5ezsbNliscgzZsyQd+/e3d9V0oV33323x4UyFy5cKMvyuVS7hx56SE5PT5etVqs8a9Ysuaampn8rrWE93UsA8vr16/1lOjs75XvuuUceMGCAHBcXJ990003yyZMn+6/SpHucD5qISKM0G4MmIop2bKCJiDSKDTQRkUaxgSYi0ig20EREGsUGmohIo9hAExFpFBtoIiKNYgNNRKRRbKCJiDSKDTQRkUb9f+Vc6e3RTLIxAAAAAElFTkSuQmCC", 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "O.par['n_real'] = 2*64\n", "O.par['n_cond'] = 25 # For simulation, n_cond typically needs to be higher to obtain reasonable pattern reproduction\n", "\n", "O.par['do_estimation'] = 0\n", "O.par['n_max_cpdf_count'] = 1 # Direct sampling mode\n", "O.par['n_max_ite'] = 10000 # Must be large enough for each thread to find a match\n", "O.par['n_threads'] = -1\n", "O.delete_local_files()\n", "O.remove_gslib_after_simulation = 1\n", "\n", "O.run_parallel()\n", "print('Time used to perform MPS simulation: %4.1fs' % (O.time))\n", "O.plot_etype()" ] }, { "cell_type": "code", "execution_count": 5, "id": "b598ca19", "metadata": { "title": "Now, comparew the etype of the estimation and simulation results. The estimation result is a probability map, so we can compare it to the frequency of 1's in the simulation realizations." }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure()\n", "plt.subplot(121)\n", "plt.imshow(P1, vmin=0, vmax=1, cmap='jet' )\n", "plt.colorbar()\n", "plt.title('Estimation')\n", "plt.gca().invert_yaxis()\n", "plt.subplot(122)\n", "plt.imshow(O.etype()[0].T, vmin=0, vmax=1, cmap='jet')\n", "plt.colorbar()\n", "plt.title('Simulation')\n", "plt.gca().invert_yaxis()\n", "plt.suptitle('P(m_i = 1)')\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "id": "74d43e6a", "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.11.5" }, "vscode": { "interpreter": { "hash": "c4c291b5fc2b9d3cc08fe6ff35e582bd44bac3ca31881d95416654f14d37918b" } } }, "nbformat": 4, "nbformat_minor": 5 }