{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Plotting the flux space\n", "\n", "There are different ways to visualize the space of feasible steady-state flux vectors. The two most popular plot types are production envelopes and yield spaces.\n", "\n", "
\n", "\n", "**Note:**\n", "\n", "Production envelopes project the flux space of feasible steady-state flux vectors onto two dimensions whereas each dimension is a flux rate. Yield spaces map feasible yield combinations onto two dimensions whereas each dimension is a flux ratio.\n", "\n", "
\n", "\n", "StrainDesign provides functions for both of these plot types, but additionally support plotting of arbitrary other projections or mappings of rate and yield terms on two or three dimensions. Here, we use the e_coli_core example for demonstration purposes again." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Set parameter Username\n", "Academic license - for non-commercial use only - expires 2023-07-20\n" ] } ], "source": [ "import cobra\n", "import straindesign as sd\n", "model = cobra.io.load_model('e_coli_core')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Production Envelopes\n", "\n", "Production envelopes project the solution space of steady-state flux vectors onto the dimensions of growth rate and product synthesis rate. Such a plot can be generated by:" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "sd.plot_flux_space(model,('BIOMASS_Ecoli_core_w_GAM','EX_etoh_e'));" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Again, arbitrary constraints can be applied to the flux space to plot subspaces. Here, we plot the flux space within a small range of oxygen uptakes ($1\\text{-}2\\,mmol_{0_2}g_{CDW}^{-1}h^{-1}$). This constraint reduces the maximum growth rate to a thrid, while maximum growth entails ethanol production." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "sd.plot_flux_space(model,('BIOMASS_Ecoli_core_w_GAM','EX_etoh_e'),\n", " constraints=['-EX_o2_e >= 1', '-EX_o2_e <= 2']);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It is also possible to use arbitrary linear expressions for the axis. Here, for instance, we plot the carbon recovery in the oxidized products formate, acetate and CO2 versus the reduced product ethanol. The coefficients for each product are matched with their number of carbon atoms. Glucose uptake is set to 1 (so the input equals 6 carbon atoms). The plot now shows that, stoichiometrically, at most of 4 out of 6 atoms can be directed to either side, ethanol or oxidized products. Yet, to balance redox equivalents, it is necessary, to then direct the remaining 2 carbon atoms towars the other side." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Read LP format model from file C:\\Users\\Philipp\\AppData\\Local\\Temp\\tmpmxmathi0.lp\n", "Reading time = 0.00 seconds\n", ": 72 rows, 190 columns, 720 nonzeros\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "constraints=[\n", " 'EX_h_e >= 0',\n", " 'EX_co2_e >= 0',\n", " 'EX_o2_e = 0'\n", " ]\n", "model1 = model.copy()\n", "model1.reactions.ATPM.lower_bound = 0\n", "model1.reactions.EX_glc__D_e.lower_bound = -1\n", "model1.reactions.EX_glc__D_e.upper_bound = -1\n", "datapoints, triang, plot1 = sd.plot_flux_space(model1,('2 EX_ac_e + 1 EX_for_e + 1 EX_co2_e','2 EX_etoh_e'),\n", " constraints = constraints);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Notice the bump in the top edge? We may use a finer sampling grid to even out such artifacts." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "datapoints, triang, plot1 = sd.plot_flux_space(model1,('2 EX_ac_e + 1 EX_for_e + 1 EX_co2_e','2 EX_etoh_e'),\n", " constraints = constraints, points=55);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Yield Spaces" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The yield space plot can be used to depict the relationship between two yield terms in a metabolic networks. Here, we plot the biomass yield vs the etahnol production yield." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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5iUsfHc3AEV9SYEOeONfgpBuZ7nBJQwiuGmreE07H36NwrmBUVFXz9/dnUzxvFf+84nj2a+292TtXFykHHZJ0dqqVzWx4yo1LTwPdgRVmdmyC+VcBvw0nNwI/N7Mp4byFwAagCqhMNiBGLB90yCWyT6sW/OPy4zj/6P2jDsW5gpRq0KF0T1ynTAIZeBboDzyfZP4C4GwzWyupKzCQb3f3ca6ZrcoyBtfErd5UwY3PTeTa0w/l992OpuXOzaIOybkGI6/jSZjZCGBNivmjw64/AMYC7fIZj2vanh/zFT36j2LOsg1Rh+Jcg1FIgw7dCHwQM23Ax5JKJPVOtpKk3pImSpq4qdy7aXCpzVm+gUv6j+T5MQujDsW5BqEgkoSkcwmSxG9jijub2YlAV+CXks5KtK6ZDTSzTmbWqdWee9VDtK6h21ZZzZ/fmcFNz01gzaaKqMNxrqCl6+CvuaSfSfpQ0lRJUyR9IOlmSTnpglPSccCTQA8z++YpbjNbEv67AhgMnJKL/TlXY+isFXTpM4KR8/y2l3PJpLuSeAHoCNwNdAMuAv4POB54MdudS2oPvAVcY2ZzY8pbSWpd8x64EPCBjVzOrdiwjWueHsff35/Fdh/9zrkdpHtO4kQz+05cWRkwVtLcRCvECnuKPQdoK6kMuAvYGcDMBgB/BvYBHpUE/27quj8wOCxrDrxsZh9m+qGcqw0zGDhiPmO+XE3fnh05fN/dow7JuYKR7jmJscA/gTfNrDos2wn4CXC7mRXU6HT+nITL1m4tmnHXxcdw5cntow7FuXqT6jmJdNVNPYHLgeWS5oZXD8uAS8N5zjUqmyuq+O2b0/jlS5Mo37I96nCci1y6h+kWAlcCSNqH4MrD7/K5Ru+9aUuZvHgdD13ZkVMO2zvqcJyLTMZNYM1sdWyCkHRAfkJyrjB8vW4LvZ4Yyz8/nkOl39R2TVQ2z0k8lbMonCtQVdXGw5+WcsXjY1i8ZnPU4ThX7+qcJMzsolwG4lwhm7RoHd36FvPO5K+jDsW5elXnJCHJ2wm6JmXDtkpuGzSZ21+dzMZtPvqdaxqyqW6ambMonGtA3vriay7qV8zkxeuiDsW5vEvZuknS7clmAX4l4Zqsr1Zv5vLHRvPrC47i52cfwU47+Wi+rnFKdyXxd2AvoHXca/cM1nWuUausNu7/aA7/+eRYlpZviToc5/IiXbcck4C3zawkfoakm/ITknMNy9j5a+jat5h7Lz2OLsd6y3DXuKS7GrgB+CrJvLTDiTrXVKzbvJ2bXyzhd29NZUtFVdThOJczKZOEmc2Jf8K65iE6M1uez8Cca4heGb+Y7g8XM2NJedShOJcTdbmv8H7Oo3CuEfly5SZ+/OhoniyeT6oONJ1rCOqSJLwZh3NpVFRW87f3ZnH9MxNYuWFb1OE4V2d1SRJP5DwK5xqp4XNX0rXvCD6bsyLqUJyrk3TDl+7wLISZPZpuGefcv63aWMFPn53A3UNmsK3Sb2q7hiXdlcQ7kv4p6axwGFEAJB0u6UZJHwFd8huicw2fGTw7eiE9+o9i3vINUYfjXMbStW46HxgG/AyYIalc0mqC8a0PAK4zszeSrS/paUkrJCUcn1qBfpJKJU2VdGLMvC6S5oTz7qzLh3Ou0MxetoGL+4/khbHJWpY7V1jSPUyHmb1P3Vs0PQv0B55PMr8r0CF8nQo8BpwqqRnwCHABwZjaEyQNMTPvL8o1eFu3V/Ont6czYu5K/nHZcezVqkXUITmXVF671jCzEcCaFIv0AJ63wFigjaQDgVOAUjObb2YVwKBwWecajU9mLqdL3xGMLvXBHl3hirr/pYOBxTHTZWFZsvIdSOotaaKkiZvK1+YtUOfyYfn6bVz91Dju/WA22330O1eAok4SiZ65sBTlOxaaDTSzTmbWqdWee+U0OOfqQ7XBgOFfcvljo1m4alPU4Tj3LemawE6U1De8idwyD/svAw6JmW4HLElR7lyjNaWsnIv6FfP6xMXpF3aunqS7kjgNGAycAwyX9L6k2yQdlaP9DwGuDVs5nQaUm9lSYALQQdJhkloAPcNlnWvUNlVU8b9vTOXWV75g/dbtUYfjXOrWTWZWCXwevghvKncF/ibpSGCsmf0i2fqSXiFIMG0llQF3ATuH2x5A0GqqG1AKbCbodRYzq5R0C/AR0Ax42sxm1PVDOtfQ/GvKEiZ9tZa+PTvSqWjvqMNxTZjq2gGZpJ2A081sVG5Dqrt2Rx1rzS+9L+ownMuZZjuJW849kv8+vwPNfPQ7lyeSSsws4fAPdb5xbWbVhZQgnGuMqqqNvsPmceXjYyhbuznqcFwTFHXrJudcBiZ+tZaufYv51xRvv+HqlycJ5xqIDVsrufWVL7jj9Sls2lYZdTiuiUjbLUfY9LU78H3gIGALMB14z28mO1f/3igpY+LCNfTrdQLHtWsTdTiukUv3nMTdwCjgdGAc8DjwGlAJ3CvpE0nH5TtI59y3LVy9mcseG81jn3/po9+5vEp3JTHBzO5OMu9BSfsB7XMbknMuE9urjPs+nM3I0pU8eEVH9t8jH8+7uqYuXVfh78VOx44pEc5fYWYT8xGYcy4zo0pX06XPCD6esSzqUFwjlNGNa0lnSJoJzAqnj5f0aJrVnHP1ZO3m7fR+oYQ/DJ7G1u0++p3LnUxbNz0E/BBYDWBmU4Cz8hWUc65uXhq3iIsfHsmspeujDsU1Ehk3gTWz+F7H/OeKcwVo3oqN9HhkFM+MWhB1KK4RyDRJLJZ0BmCSWki6g7DqyTlXeCoqq/m/f83khmfGs3rjtqjDcQ1YpkniZuCXBAP/lAEdw2nnXAH7bM5KuvQtZvjclVGH4hqojJKEma0ys6vMbH8z28/Mrjaz1TXzJf0ufyE657KxcsM2rn9mPH99dyYVlT76naudXHXL8ZMcbcc5lwdm8NTIBfzokVGUrtgYdTiuAclVkvA+jJ1rAGYuXc/FD4/k5XGLog7FNRC5ShLeL4BzDcSW7VX8fvA0bn6hhHWbK6IOxxU4v5Jwron6cMYyuvYtZsyXq9Mv7JqsXCWJ15PNkNRF0hxJpZLuTDD/fyVNDl/TJVVJ2juct1DStHCed//hXI4tLd/KVU+O5R8fzqayym9qux1lNHyppH2B/wKKiOkU0Mx+mma9ZsBc4AKCprMTgF5mNjPJ8hcDvzaz88LphUAnM1uVwWfx4Uudy8Lxh7ShX8+OHLpPq/QLu0YlF8OXvgPsCQwF3ot5pXMKUGpm882sAhgE9EixfC/glQxjcs7l0JTF67io30jeLCmLOhRXQNIOOhTazcx+W4ftHwzEdudRBpyaaEFJuwFdgFtiig34WJIBj5vZwATr9QZ6A7TZ7yD2rEOQzrnAxm2V/M/rUxgxbyV/+9GxtG65c9QhuYhleiXxrqRuddh+ohvayeq3LgZGmdmamLLOZnYi0BX4paQdOhU0s4Fm1snMOrXac686hOici/fO5CV061dMyVdrow7FRSzdyHQbJK0HbiNIFFvDsprydMqAQ2Km2wHJRnLvSVxVk5ktCf9dAQwmqL5yztWDxWu2cOXjY+g7dB5V1d7KvalKN+hQazPbI/x3JzNrGb5vbWZ7ZLD9CUAHSYdJakGQCIbELyRpT+BsgnsfNWWtJLWueQ9cSDC2tnOunlRWGw8NnUuvgWNZsm5L1OG4CGTcBFbSJZIeCF/dM1nHzCoJ7jF8RNBr7GtmNkPSzZJujln0x8DHZrYppmx/YKSkKcB44D0z+zDTeJ1zuTN+4Rq69BnBe1OXRh2Kq2eZNoG9FzgZeCks6gWUmNkOzz1EyZvAOpd/V3Rqx92XfI/dWmTa7sUVulw0ge0GXGBmT5vZ0wStkOpyI9s518C9NrGM7v1GMv3r8qhDcfWgNk9ct4l57y1NnWvC5q/axKWPjmbgiC/JpDbCNVyZJol7gC8kPSvpOaAkLHPONVEVVdX8/f3ZXPPUeFas3xp1OC5PMh106BXgNOCt8HV6WOaca+JGlq6iS99ihs5cHnUoLg8yShKShpnZUjMbYmbvmNkyScPyHZxzrmFYs6mCm56fyJ/ens7W7VVRh+NyKN3DdC3DHlnbStpL0t7hqwg4qF4idM41GC+M/Yoe/Ucxe1kmz9q6hiDdlcTPCO4/fBeYFL4vIXjo7ZH8huaca4jmLN9Aj/6jeHbUgqhDcTmQ6XMSt5rZw/UQT1b8OQnnCst5392P+y8/jn123yXqUFwKuXhO4mlJf5Q0MNxgh0yfunbONV2fzl5Bl77FjJi7MupQXB1lnCSACuCMcLoM+FteInLONSorN2zjumfG87d3Z1JR6aPfNTSZJokjzOwfwHYAM9uCj2vtnMuQGTw5cgE/fnQUX67cGHU4rhYyTRIVknYlHAtC0hHAtrxF5ZxrlGYsWc/FD49k0PhFUYfiMpRpkrgL+BA4RNJLwDDgN3mLyjnXaG2uqOLOt6bxi5dKKN+8PepwXBqZPnH9CXApcD3BwECdzOzzmvmSvpeP4Jxzjdf705bRte8Ixs1fHXUoLoWMO/gzs9Vm9p6ZvWtmq+Jmv5DjuJxzTcCS8q30emIsD3w0h8oqv6ldiGrTC2wqfhPbOVcn1Qb9PyvlJ4+PYfGazVGH4+LkKkl4X8HOuax8sWgd3foW8/YXX0cdiouRqySRlKQukuZIKpW0w0h2ks6RVC5pcvj6c6brOucalw3bKvnVq5P51aAv2LitMupwHLlLEhWJCiU1I+jjqStwDNBL0jEJFi02s47h6y+1XNc518i8PXkJ3foWM2nR2qhDafLS9QJ7WZLyFpL+VDNtZqcl2cQpQKmZzTezCmAQ0CPD2LJZ1znXwC1as5krBoyh/6fzqK72Gu2opLuS6C3pA0mH1RRI6gpMBfbJYPsHA4tjpsvCsninS5oS7qumOW1G60rqLWmipImbyv1Xh3ONSWW18cDHc+n1xFiWlm+JOpwmKWWSMLMfAs8DQyX9VdJg4A/AlWb2qwy2n6jVU/xPgknAoWZ2PPAw8HYt1sXMBppZJzPr1GrPvTIIyTnX0IxbsIYufYr5YNrSqENpcjK5J/EawQN0vwZOBn5qZlMy3H4ZcEjMdDtgSewCZrbezDaG798HdpbUNpN1nXNNR/mW7fz8pUnc+eZUtlT46Hf1Jd09iTOBLwiqlg4BbgH+JekvkjLpIH4C0EHSYZJaAD2BIXH7OECSwvenhDGtzmRd51zTM2jCYi56uJjpX5dHHUqTkO5Kog9wk5n93MzWmtnbwAnALkDaqwkzqyRILB8Bs4DXzGyGpJsl3RwudjkwXdIUoB/Q0wIJ1631J3TONTrzV27i0kdH82TxfDIZOM3VXcqR6STtZGYJn5WXdLSZzcpbZHXgI9M51/R8v0Nb/nnF8ezXumXUoTRY2YxMd0fMRn4SN++abANzzrlsFc9bRdc+xXw6e3nUoTRK6ZJEz5j3v4ub1yXHsTjnXJ2s3lTBT5+dyN1DZrCt0m9q51K6JKEk7xNNO+dcpJ4dvZAe/Ucxd/mGqENpNNIlCUvyPtG0c85FbvayDVzSfyQvjFkYdSiNQrokcbyk9ZI2AMeF72um/6Me4nPOuVrbur2aP70zg5uem8iaTQm7lnMZSvfEdTMz28PMWptZ8/B9zfTO9RWkc87VxdBZy+nadwSjSuPHSXOZyntX4c45F6Xl67dx9VPjuOf9WWz30e9qzZOEc67RM4PHR8znssdGs2DVpqjDaVA8STjnmoypZeVc1K+Y1yYsTr+wA2qRJCTtLcm7WXXONWibK6r4zZtTueXlSZRv2R51OAUvXQd/7SUNkrQSGAdMkLQiLCuqlwidcy4P3p26lG59i5mwcE3UoRS0dFcSrwKDgQPMrIOZHQkcSDDmw6A8x+acc3n19bot9Bw4lgc/mUuVj36XULok0dbMXjWzb55zN7MqMxtEZiPTOedcQauqNvoNm8cVj49h8ZrNUYdTcNIliRJJj0o6VdJB4etUSY8SjDPhnHONQslXa+nWr5ghU3xss1jpksS1wDTg/wjGdfgYuBuYjvcC65xrZDZsreS/X/mC21+bzKZtlVGHUxCap5ppZhXAY+HLOeeahLcmfc2kr9bSt+cJHH9Im6jDiVSdn5OQ1D2XgTjnXCFZuHozlw8YzaOfl1LdhG9qZ/Mw3cmZLCSpi6Q5kkol3Zlg/lWSpoav0ZKOj5m3UNI0SZMlTcwiVuecq7XtVcY/PpzDVU+OY1n51qjDiUSdk4SZ3ZVuGUnNgEeArsAxQC9Jx8QttgA428yOA/4KDIybf66ZdUw2tJ5zzuXbmPmr6dJ3BB9OXxZ1KPUum+qmCzJY7BSg1Mzmh/c3BgE9Yhcws9FmtjacHAu0q2tMzjmXL+s2b+fmF0v43VvT2FLRdEa/y6a66akMljkYiO0kpSwsS+ZG4IOYaQM+llQiqXeiFST1ljRR0sRN5WsTLeKccznzyvhFXNx/JDOXrI86lHqRsnWTpCHJZpHZw3SJhjhNeAdI0rkESeLMmOLOZrZE0n7AJ5Jmm9mIb23MbCBhFVW7o45tuneXnHP1pnTFRn706Ch+88PvcOOZhyE13tGcUyYJ4PvA1cDGuHIRVCWlUwYcEjPdDtjhSRVJxwFPAl3NbHVNuZktCf9dIWlwuM8R8es751x9q6is5m/vzaJ43ioe+Mnx7Nt6l6hDyot01U1jgc1mNjzu9TkwJ4PtTwA6SDpMUgugJ/CtqxNJ7YG3gGvMbG5MeStJrWveAxcSPMTnnHMFY/jclXTtO4LP5qyIOpS8SPcwXdcU885Kt3Ezq5R0C8HT2s2Ap81shqSbw/kDgD8TVF09Gl6yVYYtmfYHBodlzYGXzezDjD6Vc87Vo1UbK/jpsxO4/owi7uz6XXZp3izqkHJGZsmr8SXJUi2Q4TL1pd1Rx1rzS++LOgznXBN29IF78HCvjhy5X+uoQ8mYpJJkjxmkq276TNKtYZVQ7AZbSDpP0nPAdbkK1DnnGrpZS9fT/eGRvDj2q6hDyYl0SaILUAW8ImmJpJmS5gPzgF7AQ2b2bJ5jdM65BmXr9mr++PZ0ej8/kbWbKqIOJyspq5u+taC0M9AW2GJm6/IZVF15dZNzrtAcsEdLHrzyeM44om3UoSSVTXXTN8xsu5ktLdQE4ZxzhWjZ+q1c/eQ47v1gNturqqMOp9ayeeLaOedcBqoNBgz/kssfG83CVZuiDqdWPEk451w9mVJWzkX9inmjpCzqUDLmScI55+rRpooq7nh9Cv/9yhes37o96nDS8iThnHMRGDJlCd36FlPy1ZqoQ0nJk4RzzkWkbO0Wrnh8LH2GzqWqQEe/8yThnHMRqqo2+gydR8+BY/h63Zaow9mBJwnnnCsAExaupWufEbw7dYeOsiPlScI55wrE+q2V3PLyF9zx+hQ2bauMOhzAk4RzzhWcN0rK6P7wSKaWrYs6FE8SzjlXiBas2sRlj41mwPAvibKjbU8SzjlXoLZXGfd+MJurnxrH8vVbI4nBk4RzzhW4UaWr6dq3mE9mLq/3fXuScM65BmDNpgr+6/mJ/PHtaWzdXlVv+817kpDURdIcSaWS7kwwX5L6hfOnSjox03Wdc66peXHsIi7pP5LZy9bXy/7ymiQkNQMeAboCxwC9JB0Tt1hXoEP46g08Vot1nXOuyZm7fCM9+o/imVEL8r6v5nne/ilAqZnNB5A0COgBzIxZpgfwfDhO9lhJbSQdCBRlsO63NJPYf49d8vJBnHOu0AwY/iVzl2/kz92PYdcWzfKyj3wniYOBxTHTZcCpGSxzcIbrIqk3wRUIwLZFf7hgepYxN3ZtgVVRB1Hg/Bil58covXo5RuOBe7PfzKHJZuQ7SShBWXyD32TLZLIuZjYQGAggaWKyIfhcwI9Ren6M0vNjlF5jOUb5ThJlwCEx0+2A+I5Jki3TIoN1nXPO5VG+WzdNADpIOkxSC6AnMCRumSHAtWErp9OAcjNbmuG6zjnn8iivVxJmVinpFuAjoBnwtJnNkHRzOH8A8D7QDSgFNgM3pFo3zS4H5ueTNCp+jNLzY5SeH6P0GsUxUpR9gjjnnCts/sS1c865pDxJOOecS6rBJAnv3iO9uh4jSYdI+kzSLEkzJN1W/9HXj2zOo3B+M0lfSHq3/qKuX1n+X2sj6Q1Js8Pz6fT6jb5+ZHmMfh3+P5su6RVJLes3+loys4J/Edy4/hI4nKBp7BTgmLhlugEfEDxfcRowLtN1G8Mry2N0IHBi+L41MNeP0bePUcz824GXgXej/jyFeIyA54CbwvctgDZRf6ZCOkYEDwkvAHYNp18Dro/6M6V6NZQriW+69zCzCqCmi45Y33TvYWZjgZruPTJZtzGo8zEys6VmNgnAzDYAswhO5sYmm/MISe2Ai4An6zPoelbnYyRpD+As4CkAM6sws3X1GHt9yeo8ImhVuquk5sBuFPjzXw0lSSTruiOTZTJZtzHI5hh9Q1IRcAIwLvchRi7bY9QH+A1Qnaf4CkE2x+hwYCXwTFgl96SkVvkMNiJ1PkZm9jXwALAIWErwXNjHeYw1aw0lSeS9e49GIJtjFMyUdgfeBH5lZvXTD3H9qvMxktQdWGFmJbkPq6Bkcx41B04EHjOzE4BNQGO8B5jNebQXwVXGYcBBQCtJV+c4vpxqKEkim+49Mlm3McjmGCFpZ4IE8ZKZvZXHOKOUzTHqDFwiaSFB9cJ5kl7MX6iRyfb/WpmZ1VyFvkGQNBqbbI7RD4AFZrbSzLYDbwFn5DHW7EV9UySTF8EvlPkE2bfmRtH34pa5iG/fKBqf6bqN4ZXlMRLwPNAn6s9RqMcobplzaLw3rrM6RkAx8J3w/d3A/VF/pkI6RgQ9Wc8guBchghv9t0b9mVK98t3BX05Y/Xfv0eBkc4wIfiVfA0yTNDks+72ZvV+PHyHvsjxGTUIOjtGtwEthf2vzaYTHL8vvo3GS3gAmAZXAFxR49x3eLYdzzrmkGso9CeeccxHwJOGccy4pTxLOOeeS8iThnHMuKU8SzjnnkvIk4ZxzLilPEnkgaVdJwyU1C6c/lLQuVffSknaR9GrYtfC4sA+lRMtVSZosaYqkSZLOCMuLJE2PWe5MSePDLptnS+odM+9uSSbpyJiyX4dlnWLKTgjLfhgXwx/Cro6nhrGcGpZ3D/vsmSJppqSfpfi8d0v6Oly/5tUm+VFNup3Pa2KW9H5dtlEowu6na/5mk8PzoX3M/OaSVkm6J269zyUtkqSYsrclbQzf7yvpwzT7/lDSDn2aSeoj6awU6+T6vK553amgW/aS2P1L+ljST1J9liTbv1vSHbVdL8F2iiRtCc/zWeHf67o6bus/JD2bbUx5F/XTfI3xBfwSuC1m+nzgYlI8pQv8AhgQvu8JvJpkuY0x738IDA/fFwHTw/cHEHQgVtP9d1ugBLgonL4bmAr8MWZbowieBO0UU/YPgidon40pOx0YA+wSs+2DgJ0Juh1oF5bvQvjkbZLPcTdwRw6O9eexMefp79m8Hs6ZY4F5wNExZZcAZ8VMdwv/Tl8SPuMUcwymAmeG020IOmiMPVeeATon2feuJH6yfG9gbIqY83Jex5WfCkwLz69ewEd1PL65Ot+++X8WTh8OTAZuqOP2hgLt831+ZfPyK4n8uAp4p2bCzIYBG9Ks04PgEX0I+rw5P/aXYRJ7AGsTlP+S4Iu9pvvvVQS9l8Z2tvZ2uE8kHQ6UE/TgSVgm4HLgeuBC/XtglAOBVWa2rWbbZraEYByK5sDqsHybmc1JE/8Owl+PD0iaFl6p3BqWnx/+epsm6WlJuyRYd6Gktim2fW24zSmSXgjLDpU0LCwfVvPLXdKzkh6U9Blwn6Qjwl/OJZKKJX03RfzzFWgjqbrml3C43pGJ1gN+C/zdzGbVFJjZEDMbEbNML6AvwQ+A0+LWH0TwJQxwKUGfQLHeJjgvEzmHINHEuxxIegWSx/M6dh/jgNEEX/J/Jzi3k5J0o6S54dXVE5L6J1jmSElD9e+r8SMyjSdBfPMJxhj57xQxtQrP2QnhORzbrfi/+PffrSB5ksgxBd0RHG5mC2u56jddC5tZJcGX9j4Jlts1vByfTTCuwV8TLPM9giuHWBPD8hrrgcWSjiX48nk1bvnOBB2RfUnwBdItLP8YOCT8j/iopLPDmNcAQ4CvFIy2dZWkdOfXr2OqFz4Ly3oT9IlzgpkdR9DFQ0vgWeBKM/sPgmT08zTb/hZJ3wP+AJxnZscDNaPv9Sfo9/844CWgX8xqRwE/MLP/Ieg64VYzOwm4A3g00X7MrIpw0CbgTIK/w/fDpNbOzEqThPg9gq4aksW/K8Ev93eBVwj+ZrGGAWcpqOLsyY5/z4nA95NsviuJk0FndjyPaqu253XN68qYeb8DfgW8nOL4Iekg4E8ECfQCIGEiJ/g7PxKeB2cQdNmdjUkp9gXBefepmZ0MnAvcr393oZ7q71IQPEnkXltgXR3Wy7RL8y1m1tHMvgt0AZ5P8MtMSdaNL6v59fkjYHDcvF7h/JrlegGY2UbgJIIv85XAq5KuD+fdRPBFNp7gi/TpBDHEeij8LB3N7Nyw7AcE1ROV4TbXAN8hSFhzw2WeIxjcpjbOA94Ir6pqtgtB9dnL4fsXCL7Ya7xuZlUKulA/A3hdQd9WjxNcUSVTHMZ3FnBPuM2TgQmZBCppn/CLcm5MPXp34DMz20zQW++Pw4RQowoYCVxJMOrZwrjNriCoFkykc7huvAOJubqso9qe1zWv2CR3FkFyOTbNvk4hqH5dY0EPq6/vEIzUmmBch8EAZrY1PKbZSHdldCFwZ3jufA60BGruNaX6uxQETxK5t4XgJKitb7oWVjBi1Z7AmlQrmNkYgqS0b9ysGUCnuLKTgJlxZf8i6NhvkcWMHxF++VwG/FlB19gPA13D/2CYWZWZfW5mdwG3hMvWxDTNzB4i+CX3TXktJEpwGVdP1HK7icQusyn8dydgXdyX2NEptlFM8OvwFIKO3toQVOmMSL4KMwi71Taz1WbWkeDqZfdwfi/gB+Hfo4Tg1/i5cdsYRPC3ei3B9lsSnJvfElY1LrZghLV435zLkk6N+ZV/SYrPEa/W53VcfK0I7o2dB+wrqVuqxTPZZKb7roUTCEZzTLXPy2LOnfYx1YoJ/y6FxJNEjpnZWqCZaj+4+RCgppXE5QSXpym/1MJ68WaE9wFiPAJcL6ljuNw+wH0E/9liY91CUBf+/+LW/wEwxcwOMbMiMzuU4NfrjyR9R1KHmGU7ElQx7S7pnPjyVPEn8TFwc/iFgqS9gdlAUUx9/jXA8FpudxhwRXgsarYLQX13TZ3wVST4RR0m0AUKW9WE9xuOT7GvcQRXHtVmtpXgxubPCJJHMv8A/iApNvnsFu5vD4Krkfbh36OIoG4+vsqpmODK5ZUE2z8KmJ6gPFlVEwRffEdCcG8g5ktuSIrPEa/W53WcPwOvmdlsgpvgD6X4vzUeOFvSXuH5s8OPlPBvWSbpR/BN66vdahHPtyhorfUAQXJO5iPg1porfkknxMxL9ncpHFHfOW+ML4Ixfn8QM11McNm+heCX1Q/D8r8Al4TvWxJcHpcSnOyHJ9l2FcGXzmSCfuxrWiwV8e1WF2cRVG/MBuYAP4+ZdzcJWnoQthQiqP+/OW7eJQT9459E8MU6k6BFzVsEVzOtCX41zwljG0WKVkdhDF/HfJbJ4WdoDjwYbn8KcEu4/PkE3SpPI6jG2iU25vD9QqBtin1eR/Afcgphi61wn5+Gn2UYYUuT8BhcHrPuYQRfplPC2P6c5hwoJrgRDfCfBFWQO6VZ56KYv9kogi/7owgaDwyKW3ZvgnNqF5K08OLbrZvuIMG4BQRXk0VJ4vk+8GKaz5iP83oycC/BfZ25BNVnNcv1A+5KEVPvcJ3PgceA/xd/zgMdYv7mJcliSrL9ovDzfkGQRMeTpmUTQeuxx8NzdzoxrcEI7oldXNvvmPp8eVfheRD+UrjdzK6JOhbnACSNAHpYcKVbU7YLMMrM4qsmY9cbCXQ3s3X5jzJ7knY3s43hlcRggrEe4u+3FYTw+A8naLpcGXU8yXh1Ux6Y2RfAZ3E3Fp2LhKR9gQdjEwR800w5aYII/Q//vsnaENwd3iCeDiwgaPpbqNoDdxZyggAfdMjlmaQ/APFPyL5uZvH3QXK1v30Iqo3inW9m8fdust1XrT+bpBv4d/PbGqPMLGX7f/dtksYRVLXFusbMptVhW/9B0LIt1iGETXdjbDOzU1Nsp1H+bT1JOOecS8qrm5xzziXlScI551xSniScc84l5UnCOedcUv8foQey3H90CWAAAAAASUVORK5CYII=", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "sd.plot_flux_space(model,(('BIOMASS_Ecoli_core_w_GAM','-EX_glc__D_e'),('EX_etoh_e','-EX_glc__D_e')));" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Yield space plots often look similar to their corresponding phase planes, as it is the case here.\n", "\n", "
\n", "\n", "**Warning:**\n", "\n", "It should be noted that yield terms are generally non-linear and, adversely to pure flux-space projections, yield spaces may therfore be non-polyhedral or even non-convex.\n", "\n", "
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Mixed Plots" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The following plot uses a rate and a yield for the different axes. It shows the relationship between possible growth rates and biomass yields under limited oxygen uptake." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "sd.plot_flux_space(model,('BIOMASS_Ecoli_core_w_GAM',('BIOMASS_Ecoli_core_w_GAM','-EX_glc__D_e')),\n", " constraints='-EX_o2_e <= 6');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The graph shows that under limited oxygen uptake, maximum growth rate and maximum biomass yield do not coincide. As discussed in the chapter of yield optimization, overflow metabolism may be used to boost growth at the expense of biomass yield.\n", "\n", "
\n", "\n", "**Note:**\n", "\n", "If growth yield and growth rate could be used interchangably, we would observe a straingt diagonal line here.\n", "\n", "
\n", "\n", "In the case of unlimited oxygen uptake, we observe that best yield and growth rate indeed coinside, since respiration can be fully exploited to attain the hightest possible biomass yield:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "sd.plot_flux_space(model,('BIOMASS_Ecoli_core_w_GAM',('BIOMASS_Ecoli_core_w_GAM','-EX_glc__D_e')));" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We may also use a mixed rate-yield (oxygen uptake vs biomass yield) plot to graphically determine the oxygen uptake rate needed to attain the maximum yield. There is a sigmoidal increase of the biomass yield with increased oxygen availability:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "sd.plot_flux_space(model,('-EX_o2_e',('BIOMASS_Ecoli_core_w_GAM','-EX_glc__D_e')));" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 3D plots" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A 3-dimensional plot may help tp reveal more complex relationships between fluxes and yields. In the following plot, we analyze the relationship between oxygen uptake, growth rate and ethanol yield." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "sd.plot_flux_space(model,('-EX_o2_e','BIOMASS_Ecoli_core_w_GAM',('EX_etoh_e','-EX_glc__D_e')),\n", " constraints='-EX_o2_e <= 10',points=10);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Since a 3D-plot does not show us the angle we are looking for, we may halt plotting and use matplotlib commands to rotate the plot before the actual plotting." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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cn8sgnHO4TkqIn6QzGWsnDEGsGLkIXAQgSS2dFtz3fEdj72lEy0CdNK3Q6VRYPXE/8SFJR1UxxnDu3DnOnTvXq5Gzvb3NE088QRiGrK2tsbq6SrVa7bmtYThP6Vnstt4C7haRE0Arbyp2Gnh03gFuCakMksho+URVZXd3txfB2ul0WFlZ4XnPe16vlOJhcZQBWXeq+mOt5T997iHed/EyLhU0julkg8fpSxqKgs24ezGhu7rKpsuoZRCJQ7MOmVUyQoJSP0bHZhn3lB2uHOBm2A2sOsB4bwoZ5ZrBGUOWJJRNgGBIVQnrEWnOWsW8giRhrSKYOKB44RWnmnQSYgVjBGeEsFrCOUe522VxzUsBo++NMAoggqgS0GnsEeh1ssxRiqosBAYJP0fStpAKuBB1ZZyroLKIBsuE5ZOUyvWhMQtSKVDEvowG3z355JM0m81e5buVlRXCMHzWuq0HVJp/iVdz/iPwMeAbgX8P/Gq+3YFv7yMjlaK1xKi7d7DWSBF8Vrh7z549y6OPPsp99913VNO4Kdyp6s/VvW3e+ckP81THgQS4EEKb4IJ4onenIh3W1yydIMKgdCUiccNbqnVUOglR1sU1O6xXS2ipgqQZVpXMgQkCotLwI5LYDMkMJwJLHAiRA6cOFwYDnqcAsf3r6JyjniZUFgJMbp9JUkuQgSHAkRLGIRiDpyzIOgkrgaOyMllaTdMM17YYFDVQqkWkTcvS4jJRpcz+tT3CMIBw0Hjdzf9dB54myxyNqy1KwTIRBudCrC2zEuzS3nmCoHKKuDzsSRwNvitqxjz99NOIyJjbut1uc+nSpR7hbG1t8RVf8RXTbvttRZ6J3AT+poi8GLgP+KeqOjPYbRRHRirOObIs6y3M69evc+3aNXZ2dnrh76PBZ2maHonaclQwxvRE2RvFUUoqzWaT3//sR/n961skA7cqCEJqktIYuXTOOc5UWmjV0DUDKrDSExdcllGVjFIgJCrEoVA+vQZO2SLob27AZY4wy3zFHuOJqOagZlJMEJA5SK0lKkVMk21cmrEeK6YakrRTSkGACAQiBJUAVRCNhlQgaXU4WTeE8XCpzdZ+l8iliBGkFBAv+u+tdei+sri82o9JmmDbGb1WZj9h7fQGYkKkaLinjpedrYM8hU0/j20naOJwmaHRsDSbhuWFE9h4FbNwmqWlJZaWlrjvvvtIkoTt7W3Onz/P/v4+9XqdtbU1ms0m9Xqdhx9+mI997GN3JKmIyH+LV3sa+DKSTXwpyeeJyP3Aw6q6O2uMAkdGKiLChQsXuHLlCkmS9KSRWY2uvEh755DK7bapFGTcaDT4ww/9EY+YPT6fGZDx2xTL8DyNTbhrtUs7GF6gqkqQdFgsB95VLELTlGmlGffVMrphFSUg1pQk37EYuvDeOKDjlBOSES+WsIHpZZRZ64haUDIQCIjmIQEuJVbLesUQBSHWKnElAhEUX06sD59WkmUpi9ZRXfYBaGmWYTuOQAQ1Slw1ROGwCzrtWKI0ora2NPS5hmZqkF3STonTkOrJM37bKY+gtRlZq4WoxYqhGnQ58YITBLoFbJFlnyHdTNCuxaWGQGPWpMLKwiJ2bY2W1Gm0Oly+fJmtrS1+/dd/ndXVVbIsuxOrAX4p8DX4aNkS3jBbdCLcAL4TeOQZLydZLpd56UtfOnfw2XORVA47RpqmXLt2jWvXrrG/v8/Kygpb2uJB6bJrAybqNzAkGSxHLaorSsfk6lDSphoZxAUk4uhGFbZVejsu0WZ1MSQ1JQze+Gpx/heRgWN6O02YJpyuCDYoeVLQvi0kCLzK0gayNKOMEEhA2G0TVAMSibCJvx5OM0wkxKXxx852E9ZCRSNL2nSYQNAASvX+ttbmIcL5sdO9jFplkbA+riJV62XSdpO4OkxC3est6rUVosXxZ9Q5R3t7F0m6mCgkXKxTOblKe2ePOEmonFnHIf49DoRhQLg4bAi2tkN76yo0uiSf+QKrr/leslOnuOuuu3jooYd44IEHePWrX80v//Iv8+IXv3hsDrcDOVH8BPATB237jJeTXFtbO1Rw0J1muHqmSKXRaPSIxDnH+vo6z3ve86hWq/y/n/0IH8i6YGanFlgFtSnnljp0USKghKPjhE5YYh+DGDCivVbazlruKXchKmFH7lPHCk4UEwzfk1WXUKmH3nXtFGM8qaj6+KDYKeUwwImgJsA6y0oJqFUBIRXfO9MjwmaWbkN9AVSBbpLSuX6du0/GSBQRlqeHyYvk1Zidg31YyNUdneDlFCOQ9lVZ5xxuJ2Fp/TRmwM7S3m+SNFJi7WKqFaprSwyyZvPCFaoLVaKVxan3ot1oke02MWIIF6uUF+s03v8x1i5fofn1C7jtPRYXF3nRi17E85//fL7v+75v6liTz1vuAn4B74VxwP9fVX9yZBsBfhL4Zry08R2q+vA846uqikioqpmIfCvwArxvv4On8G3g46r6+XnGu+NksNuJW2WoLZqpX716le3tbSqVCidPnuQVr3hFr7/PF7c3+fHfeT/bGAQwxuVuX1/UXCgedMVg6KZ7bCxYVMq4IKIhQc92IhMWWZx1OVdXsnCyi9WUY6LU9gLbXJZxd0lx5ai3wJxzBJmlbAIwQkcELYW08sNVbEK9Kt4A4yYTaxAGJK0uBIbEOkrAyr2rdNMMmylmXxEyMJZqbTyCNe04SjaiujZ9kQM56/k5FOpO/fQZ0iShs7WHOIeJQ+JajbhaxTB837MkJb1yjcWTa2MvP+ccne096GYQh8Qri1QWvBepc2WT1u//IZVum8Qpcbni7TfG0Ol0brSbQgb8L6r6sIgsAB8Vkfeq6qcHtvkmPBm8AN9V8G35z3lRXICvA94AfBhPJq8FPg/cJSI/D/yE5r2Vp+GYVAZwlDaVJEnY3Nzk6tWrPY/XtGbqv/npP+FXP3cBmyg2iAceugmBZs6xsdDCLS2wbQKkm1EPHbHJQBxtdUg83IhsNW2yuByTTYk9KRCLkADlrMuJakAmAa6bUA0NiHj1oxzTUUFEkdwy4mzGiRCknksIeWwSeD5KuxklBDFCiiLliCxJWatAUApBHWGuEg0u7Z1WRuAcoSqqlutX9zm1vo6WDc1mExMEVKaU9QTPsZ3tJmQRREpne4egWqW6Omx/sVaHLnVnr0HQ7rJwql9XJ+kkpHsNMhdSKgVUT6yOHW//U48jH/ljSrlRSvMI3EFSuZFaPap6iTzfRlX3ReRR4CwwSCpvAH4hV08eEJFlETmT7zvXYfKfp4DXqOr54gsR+WXgrwO/Avwy8NisgY7UUPtsx82QSpFPcunSJa5evcru7i4nTpyY2evnerPBTz30AJ/czjASoEGZkmQkTG4wZuhw14kubRMR5KEeGoTsKz09X62jnGZUQodrtjlZTwjiMmQWzTK/T18jwiqYKCaOQ9LMspQ0Wa55V7RzDinFfQOujF+bIE05WQGNDIX5NU1TotThNEAjhcCQFqH+CNWkS70OJjQzs6htakGFDAgdrK8uUFoJcklMcS5hr9UGl3OC9n9mrQ62qZQrFeLIG26Deo0omvTI9z1krYvXKNdKxKuLNK/vYZIUCUPCxQVqp9ZRDFjHYGCpzTIaf/RR4scfH5Gs+hKeMYZutzu1tvG8EJF7gVcCHxn56izDdU7O55/NSyoFzgDnROQyEKlqG3ghsI/XZLsHDfCcklRuNqX+sKQyqtZUq1VqtRpra2u8/OUvn7nvg099nn/z8c/SyAJMPmdjAqpBQpKNk8py3KC85OiYGKPQ9xP35xtkHeqhQVFsN2VprYoJS+y4CKMD12XQO4RiO0qp3eVMrIS1MlkgGAVnHU6EcIr3rm5TyjUhdRlB1xEGgZ+NGFwlQFVwUhiVlTTJWDeW0qIgQy5ffy5JN8WkzkfaGiEox7jUshxAeaFC2k1IOxlxOU9oNAYTG/rXwiPtZkRSZuW+9SFVME3aJM0EMk9WBBFhrUIUxlhraX3xImEQku6maOaoLi9Nfp5EeqHFyV7DqzvXd2DUFjSgNooISZLcFKmISB3ff+d/VNW90a8n7DL3wzxggP0F4EeB9wE7IvJ6fBCcxZPKTNUHnkOkUuT/3AypzJNDlCRJz8haqDUnT57kRS96EcYYdnd3+eIXp8cKddOUdz7yIP/l/B7I+GINRudvE86utunGAdYMk41JutRjRYzQsoaOlNnKlHPlFlor+WA0TUFGl10fIsJqkLFeD8kkIBFIiktggNRSsRmRgO1abGBQA6tk1GtR7jkyaBz0DLJGB5Na8/PqJpyokkfTeqRZRrKfUQrAiSClEFPzCzMAaCes1kMfGIfPs+k0EihPN2JnjZRaeZHwRMQo6YZxBAOxL845Gls7NK/tUSnVqcYRQa1CdWFGtcSB02o9fYnsP/8RlSydvG1OnEXluZuRVEQkwhPKL6nqr0/Y5Dxw18Df5yjyGQ4BVf0ZEXkY34z9fuDngP+QG3Nf94x7f24nCiPrzaSmT5JUVHXIWwMcqNZMw+ObV/ipP36Eq22ZGpzVHXg+q6bN6npKN4+cdUmHeigEBGRWaQUlrg+oPpHrcm4xI4lK3hmssJeFBJLhgmiMVWyW8bxyhotirAkmv9eCgKZz0EkIEaqilATiWplUHVli0ZApwW+Kc0o9S6gtCCYwdFoJIYF/iweG0lIFwWLcsHen3M2oL0eYES+Yk8mGdOccum9ZWFn1+6gbOx3nHK3rDQJrESPeOG1CNu69l7he78XYtK/voZ0OqkpYr1CqDNuoVJX9j36S4JGPUwpm3P/8HltrezaVGyGV3LPzDuBRVf2/pmz2G8D3ici/wxtodw9hTxk6lqo+CDw4+l1OLH+gql8/a4wjJ5UbkRaOohLYUWQqF8TknGN7e5urV6+ys7NDtVrl5MmTc1XYn6ZC/b+f/Bj/4fGLWJ3tKm7aACHl5GIHF6YEElDXhK4TOkGJRuEdEs2jSPyxVoMWlQVDEpQYUonikJrrsEs89HmcJZytKVlUQrSgBPV+JueQbko58gbajoMsjlmwCdUFb0juCIAPg1frwAqhKA5H5jJK5RCbpiy7jLhk0FRIM0dUjvMkQ3oxMoKAeONv2klYDqGyUurNaZANywsxWTshrPTvQ9rJiLOY6vpqf5cc7b0G2k0x4kmkulzLExktdrvD0slTyIBqaIyhsrrc+9tmKZ3dfVy36w2vpTKtDz1M/eknvE98BooM8kL9uVFSAf408O3AJ0TkY/lnPwjcDV66AN6Ddyc/jncpv+lGDjSHJLJy0Bi33VBbWMfnLfk46/g34w7udrtcu3aNzc1NPvzhD7O6usrJkyeHug/OO4/B+3Jlb4+f/IM/4mLX+tB0Mq+OODcmOYQEhNqlFO8hhGRBlQbhgKt4FAo25e6FlDSK0Cn3ILNuKIT1pHQoL0RkwcBDn3oSUSd0UVy51C9EalPOxRkujH2cCsNLXXrFmoQ0VYLMII0m1RJoHGCNEJQMB97hdsKJAXWnd4696+njZFzqfPcZINnrUqssEi/4D9r7TVxqCdIUV65SrleQEXUmaXe8i/nMhh/eOiYrh4DxkcgYodtosfl7f8jd7cZBZ5JfmL76UxhqixCCw0BV/3D6BHvbKPC9hx788HjmEgrhxojlqEjlsJJKodZcvXqVa9eu9coPLiws8KpXveqGSXKQVH7vM4/xMw8+TQlhz9YP2BPWKw3ipYAm64gKcTuhVMoQcbQVZKS+SYUW60uQhZMTCws0iAitTxS8t5aSmghNE8pOUBHaNsSVPImoDJciqNqE5ZpAGPViTwYtFWlqiRSiIMACqkItFCqLFV8rRX1+kG3hk/80I64EyABRZ1lGOREWV8bVnXE2VVIBsRnShDiskXUSNEkhDCnVyv7eOYdixmJ2kutNarXloYjaQu2CXEXavg5pggQGU6tSXluk9cRTVD79UVax4/UfpmFAxRWRI/H+3E7kdp073/tzVKH680gq1tpeJbmdnR1qtRonT57kVa96FXEc02g0+PznP3/Tqlgr6fKj7/0QH36qAyYgsQ4TZrhpl9umnDvZJAtCUgn7ngWJybPoUWepW0spdCRJynLcIK7FdJIA0g6B8bv5vBrFqS+7FIQ+ziNqNDm7GhGZMplzuFK5J4moMWOk5GzGqdAR1IIhr0aWWUKnGA1zO7MhjbykoqnldFkhHiz55APeLIXpJyTpZMTqA/qa+w0fr1KO6TRzB4OOKj15KkGnSxAI7XZGe6dDtVJjaTEmCMIR4pkc35Ntt1g8cQozkHdjnaOztUOWKaFkmGqFytpi33OTZTQe/hjVpx/DGEPjMC+uEYJ8tpMKENOz4E3HHUEqRxFwNo2cCrXm6tWrtNvtiU3Vj3Iun7pylZ/8zA67aam3GDWIWSy12e2OX+5K2Gb9VJdEor6NRIffzi7NKEuKUUPStdTrEFTq7Grs+WfYydHPj1FBMsvdcQtdW2VXLPXMEeBIWi1MuTxRtQvSlI0qEEWkaQZpRmgMaQISh6SRQfMAuGKiFZuxWFMklJkv8qSbEjjIJECSLiv1EkFVIYzQkTiY0WGkJGSNhJXVJUrVGFWl026iiQUJCEolKtWyt9ENjJC2E8LEsHzmrJdEdq6DTT1xlMuUVxdRES/VDEw+a7boPvgR6vvb/Xs5EqMyEyOkchM2lVsKESnhg+feo6qNke8WgS9T1ffj3cnffdB4dwSpHGXVtqI1w9WrV3sdCItI1lk9fwbHuBFYa/nXD32M//TpHayWxqqZycg5Ouc4s7IPJSGRYVexTVJqUUYcGjInNAlpUaNEk8oqpCam1IuUHmWUPqIs476ljE5QRVRwYnpdfzRQom5GzWQYDbDqCColqt02i2UICHGpRVWwUclnK5eUIBgmIWcz1o0SVhUJxgmq282IFQIxZOLf3qk46qTUTgQ+uK3RQWo602rgnMNtd1g+sZRLGt64H1dLvr47YDNHa/86NgGxlmixjt3vErgQQqW1tYmUy5SWB1RRXyJvTDTqXLkGf/wANTtckTdQJc0s8YRzHYM8aySVOvAPgZeJyDtV9UkRqeCD7H4InybwfsCp6icOGuw5QSrWWrrdLo8//jitVot6vc6JEyd6as28uFFSubBznf/tDx7mqeuGSZdUgL1OiBiHiiGUDmdOt0mMn5tNE8rGUTY+OW6PkKaWaBbuZZeysbZHWjJY46vENjSiQkKb0kRKWabD4kJEN8i9PqMkJ0IWRGwnGWVVYqOUm/uUymWcKA31VeSnrnMFk6acrCimZCgOkHQzJBMiUW/RCwJc2M+sMUnCeskRVbzKpQqmHNJtJ5Sr8URiSbsZVRdQOb3SK085iUiD0OAIcTZFuh32LrSplOuUF0qUlxamnUn/hMgjoz/3OOXPfIJwAm8Y8KUS5jEB5mkRxTN1p0oqqrolIl8G/DPg34rIzwBfifc6/a+q+p58u7kWx5Ebag+7KG+UVDqdTi92pJPHFJw6dYpXvOIVNxyrciPz/41PfYZ3fvQC3Wz2U6ZBiXrcJghSypUOEFDWLpkzpBrRJqBjBWMUgv4cqmGHlZMJaTC8wI0xRC6lNbq4bMZdpS4uLuU6/bBx1XUTKoEjMEKmQtOEWGtZrYfYoExXIRHAWozLMKpkKGFpmJxLSZflRe9ZCrpKIAEul0SkLGT5cQcjeeNuh+U6mGjYhhOEBu1ODtCzrYzlSoUgDpEJhU867S6ukxIYrzJKKcREAXFUZ3Vj3bvIbUZraxOrhtrq8tDzURxTUGya0f7jj1K98sWpz1A//GG6hNjb1gwvrzRNh9rs3knIY1B+Eu9X+zl8QuFX55XgDoVnjaSi6hurF0QSBEEvkrVWq/Hoo49Sr9dvOvhtXoK7tnOd//s/P8SnthNEhUqhk/vZDtWnL2MQZ1H2KUdCy5ZJg6j3TE4IrMU5x6l6E6kL6UgiYGFH2bMBEQlp4Bd8xXU5XReyoJLHgCjabVMK/MJtZwGZCWkU8RPqOG06lKqVfhuOYpkFAe3iE+coJxkkjm7W5VQlolwKwBmvPYRBXxKhH8JejGezjFVxVJalF6MyiqAa0dlPqCzGvfMP2sryYg0T9HOE2o0WNjFEJkNCQ1CKiJcrFHSUNrpU4mXKJ/okaIKA0uqSr4S/dx2XOeLlZaKwqEGkpHv7dB98kHp7dzzcfgCSN4Kfg1PAhL0YFTiaeKxbARGpAd8GvBF4GngJ8D8B7xWRv6eqDx1mvNtOKrMWsrWWra0trl69yvXr11lYWODkyZPcc889Y4z/TBZY+sPHnuSfv/cxDJZOMlLsp/BcDBpa45T6GrRYo51BSEo1SMlsRhqWxg3GmnBurUu3FDBmnBncLgqp2A6pwknTIqqEdNOMks1ADIkzJFGZREAUnJF+Bf0s43lViw3LY67PwSJMNsmIxaHG0O6knF6toIEhsRaXWeLy+CM0FMOSJJyoKHF5NtmLCCYIsM7hUkdNQ0pLJbrNJE9uBBFLVImIawFCQRr+fjnnsHsZiyvrSBDSL+fWX/0iQpyrQWmrRbrTJVhYRK9uIo98hFovAqfYbxzeble8Ng6QVIJwrJD2HYr7gTcD36eqj+SffZeI/DngnSLya6r6IyJintHC13A06k+n0+nFjnS7XdbW1tjY2OClL33pzJtzFLaZg+afZhn//P0P8/5P7qOELJdn17N1zrG80oJKTFMjv7IRMiJ2Op4US1mXcimlazNcUGa53KK2aEmCsLewnXPYToIxYDAEYojzeitJK2XR7VFaXyBTxZUqtHJRRgK8OpWzhOSEt2DbrNUDXBAzmqWTtbuEGMJQSNUHtGUmZtF1WV2NIQ69ezgwPvy8CwaLM0o4kgFcThIWF+gVu56FdifBOmHnC9fZOLWKKfkEw1LdXydfy9b1fh9c80k3JU4i6usne6Q46560rjcI0wRjM7Ye3+LkZz9OGBpUjDfcDmH4YOIG3hoHPepBOJQ6cidKKTk+AXxNrgIZVXX5z9/La9d+Tb7dM29TgcOLeCLC/v5+r0NcGIacOHHi0D2Rj0JSmeVS/tzla/zob3+cKzuGItNlrxkSlVIyN64nG5OwfColEa+KyIC3eBDtJEBtRhgELHKdSIRuK8I6g0VxCtaFEJT611U9WSxKi+WVEpks0NSUiiim26FjAsJwfE6qyrmwi6nEvTYcSbPtI3lLAYkKaRiRiekRmmYpZwKLVMOxWq7GGLoCECLWYRw4l0GorBqLqVi6XYdzAUZAxDcu0/w6KJBaBXGoiag6uOcFa9jE4WyGE2HyI9pf6N1Gh1q0RGl1MGq2f5Ebu/vE3TYmy3zRqzBkpRIjpRJQIt1tTqsnNTYWKM5aHwQ4z6MWBDedj/YM4X68p+eXgRMiclpV/yT/rgzeaXjbDLXzIMsytra2evEjtVqNe+65h3vvvfeGDVm3UlL5hQc+wb/7yBVSO2z8MGFIudym0Rqec626j1mKSSgs/TmjiKBph0qUEQUhiYWmi0hNxOpyQmKWWAg77LrYC9fidffR3EN1lrsX2mQlX0gJBCsRDfB8Z1PKJIiDzAgmCgjSlLNR5jNmM+8m7WqALZVxGFIzMNPcZBBbn1lMLoHY8cgRyOuuZJ0MiUI0UWJJaVSVIIgIIjM1Q9pfQ8UlljVSyislRBSTq0riHJ1mC5xgSiFxXgbSP2ZKtpexuLhOmD8z7UYLSbqQQpS1MWHASqWCqXkCmQTX3Eenzm4U0rdVqTt4LxM9W0jlS/H2lF8G/iw+ZuWv5N99GfAX8faVog3qTDxjNpV2u90jkSRJWFtb4+zZs1SrVcrlMqdPn76p8Y8qiG5wjGt7+/zIex7mMxcsMsGaqqo0GwbEgRjUZqyc7tChBPi3VOA61OMIYxzdJGLflciSfknH9YU9gprQNSGisJtGhNomCyaXfYy0y5kVRzbDVa5BSAPBphkLpkPYarJajWm5mKhaYVBp8+tThhaItZZVupRrEVos5IHv0zTDWCUgREJIHWgpJtSM+opBTBnaSd8cNINVtN3lZFWJyjFuxPNtjMFU/IJMk4zO9RZW8wzp60KtHOGu75KpEhjDQinClEK0JIgrqrhMh6qijf25Y9nAc7a374wapCeMH/RJ5agqCt4iGPplElLg6sB3IfTTwObBLSMVVd+JsEjSC8OQkydPjlXb39vbe8bC9OcZo8D7Hv0C/8/7n6DVndFZTkApUa92SCyUllKcCGWToAR0s4AudbKut5RKLwoVjHbZONGhG4YDiYCKiiEyhq61BOEwka2GLSp1IQtCzHAIrf9/t0M5FBQlxZCqsFoN6JpV2kGA2Ixyt0vqHJTGDcTg1Z2zkWAqubqlRRSsw2VCUDY4DC42pE4Qo2SZcibO8MX2/T5SidBmAvXJb2nnHFVrqS8ZwmCQfcaRZRkuMZSlTDUo0biwxenTJwiCaerRfEiaLSpB8SKZT1pR9d6wA7YChHZqIU19u5E72J0MLNGvxfICYFCXXGWwdvkcOFJScc5x5coVNjc32d3dZWlpiRMnTvC85z1vap+To4qoPaq3QSdN+KHf/BAf+mzbSx9ZF3AEAQQGAlEMigFKYgkxNLIucdXQSmpIMP3BKaq+10v7LC4riYmQAYeDAgi0tMxC0KJVpOLalHNLCTYOfTEjCq9MRhQImYWO+rIHXTyplG3KPXXIolKv1okvPRmhxlFKMkompauCib2aVrJdTtQD2u2UuGMQY8gAZ0KIDC5SEpPHaKifcZimnKqDCScsympE1kgJauMRwyuhUl0M8nvWv2/OObpNSyWsEAcloqBEWCoR1iOKvqfaaObG3znut+pUvnCNZnEa/W3nGK8SCUnmKE0NTfIH7GSOJz/zGay1vP/976dSuflm8rcIe8ALReRdePtKWUT+PT4j+dX44lAwJ/MeuaSyv7/PXXfdxcte9rK5bCwFi98sjkJS+fgTl/nZD1+mSZ26Bc1AnUEmtMtQoGsc7kxM0y5BAqWgQzls084MEozr8M5ZNlb3cSVfZW3Ue+nrevgPE2JIMypxxtqqI7GWKPMxD+qMb30R5DabII9MzYdb1xbVegkXBAQTFp4Rb5BNAZdZop196tJlZW2BJFNcHJEOZI0PyRoDQkWp02FlxUz17ogIWglJGynxgicWSVJOVSDMK8C1myklImJTohREhGGZ9fXy1Gcn6bTn8ib15zBd+3LNhn9u5n4ZCWrzF+Ec0s3y2gle9KIXcenSJTY3N/nsZz/La17zGn7kR36E173udXOfwzOA/wQ8hD+hothwlP+skNe+VdW52nceKakEQcD9999/KMPUUUkYN0Mq1lre/rsf470PXAG7AKUUVf9Wmdo9s96hW6/Rsv2iSF1bptsqI5qymKtELiiDQiQdTp7qkJq4COEcQtZNiXCEgcPkYXOLrkklUrpaIQ1K/YbnkkfeDp4/oDbj7opFo/LUiWedhHLgCA1kakhTy6nFMlJZoGszAqtINHux2DTjdAnMqhm4132G1AHTpzEGLQckrYSysyxVIiKtEmclwjBmeTkcyyeaeex2m6hcwlmXqz/zYDxSTVXR5h440ML94/3WzCQLLUrUHUwqGvgm86VSiTe/+c089thj/OIv/iKdzoFlXodnL/JO4PXAVVV92YTvvw7fUP2J/KNfV9UfnXf8PInw8UNNagbumHoqN4sblXgubu3yo+9+iEuXMkQCjDiCGNIpVSMcGZyEBssEUwKgnITstiPUWSpmj4rZY22jghBQzpRUnU/ld0LmhNQKjhKJCWmJYrTDufUO3WiJPWepZxkRKYkxmKiIAh1G1SWcrIEN496cnHOEaZcw8GH0XRUyE9HMF+OCtjm7FKJ57dskj9yNsgyyDMpm7AURpSmnqmCiUWbs/540u1SMoRwGlEJDGIbs71nuu/deojDM1UBPnG7ET33QUjVZQqVWptPsEFSmqJpjl2ecVLqNFtVQaKX01CrPFTIr3rD3nem9GWa8EMN4qD1HuVxmcXGRxcUDehaN4+eAn8IXpZ6G/6Kqrz/swIOQgQU8r/t4Em57RO3ttKn8hwc+w7t+7wmyZNAYK9hWCRO3cHY4TsbFCclamdSVJj5SaruUw5QwAFRIMmVhVcCss9dJsKac09DIPE2xkJSluEltOaNr8kRAY2jk0aNBllLW1Md2VPvh7BthQlSO6aQpJdtFRHESkFmDiyu55JDnxoigzrIRdQkqsS95ODKdNAhRA3GWYTTFRV5VKXU6rK5GmMCQtBOqUUiEoRQZ4kAIBIJACeuL/chd9WfrOmbO/sGzF2qPMLObe2a01Sqm56ON8+6LB+43FC48c6oQ9r0/rVbrhpMJVfWDeWuOW4qbIZJBPGdI5TDqT6Pd4f/41Yf41OeaeeTByJzE2wmS3CPvnENOWJphDVzY+yymRbmkBM7QcUI3i+i6Gh1VquU2S6ccKWUCEcpBRpZmMGVhOZtxdrkNNSGTcOLzak3EngKiLHa6aHOPUwsh1WqVJHNYE9IuGgIhuTFkRE1KEu5ecF5FOgBpEJJ0OqzTpYZldblGvRwTBEqU16odDOkvoIPWz9ywvFCvkyQJca+a/fwel0EUkpNzB4ZLzITd90UgBKVcCkitEuelMqfNSsEHvpm8zMZBofojksqNlJI8BL5KRP4E7xr+flX91GF2FpEQ3/OnBCT42in7ed+fQ+G2k8pRGFhhfknlI5+7wE/++idoNYark40ibcUE5RapC3GnI5pZRFm6GNPBWSHJQlKqZG6g/LTxZLO6sgflmIx+LEnLlliMWzRskBcE6iOgw8apBBtGvTanMGydcEmHijEERrA2QLAsrC/RAUxiSZyvnjYLS65DfSFAo8nbuU6XpUhZKUPJQCnOiNcMzkJZq1Sr8aHsH71xnfNk4hiS1BRFnQ6Yf2ZYVYHW/j61Ilv6JkhFVXGNfYj7If39J2eG+DEQm6Ju9qYALiodaSOxGXgYuEdVGyLyzcB/wLuG54KIrOAD3P4cvph2BR+b8ici8jZV/eRhJnPbSeWZklSstfzkbz7Mf/noJurGF4bLuiAZkYEoAI2gRZt0uYJNY7AxXdsPOxXpe0WKhWKkw4kzCamUmbQydtMKC0GT1kAYwFK5QXkRMtMvbeC6KeVAiQLB2pCOUzIqNNSgScbZSoqp5G018DVo1aXU0y6ZCiYeceFmGXeXLURRrzZslqVUyViJHfUwoFpWwhUIg6JYM72AvywDE03znx6kA0C3bakvxiRDBkpPrCKD++tMScEkHSS3o5hgdqTuzPk02tTjXOHs2WjnUH2c9ndwcxw99KQShuEtraUy2FhMVd8jIj8tIuuqujnnED+Il1L+JfBxfMnIJTzR/JSI/ENV/UjevuPAN/dzylA7bZxPPv5Ffuo/fYyt645InH8zujw5LBPIFLWCkbzdZzslOWPouJPQUkrVrk/3MJMfCkVZrO8T1gypDLfIGISI0HZlItclFcPptRZpIJBZImMwGqCidDWmqQYy72YuqktG2uXUgsXF0XhluTCioaBqqSWJz8EqlQmzhLNli0FZC9osxFAKoRQpYRQAPonOjAw4uGQiMyto62DpMDaRv0pTn8e+n3pcnejPS2wGRUtYKQpDHd4M4BoDFRP7rMJBJGGdEhdlJQ9O1u2Ryq2WVETkNHAlTwj8Cvz7busQQ7wMeJuqfnjgsw7w9rxD4cnDzOfIJZXDEstRl5Mcxbt/71P81m8/ThalhEmJaW2vimlncULrVJnMVnpiedqpEWpGXG3QyiJ0IAZFXcrJU00SU84T4CbDpQmRWEIjlGybxcUOGtRwzpCYUq8roEEn1ldZCdpUquKbgk1dTIIEAa0k5UTsqDU3efk9EXGklEohptcyQnLX6Sz0F1kUBIc2gg8imElKw/MfprO+Kjhqu5EoPIRbecSd3OqTSu9IczyCTiEsysE59f2RZu0QlnH25klFRN4NfB2wLiLn8SUeI6Do+fOXge8WkQxoA288pNH1A8BrRaSFr6eS5ON8CbAIXDnMfG97lvKt8v5c32/xT97xEc4/vk8ghigISTVFZNID7pPi2muQxIvgAgIxwwl0EpK0QyIyoqhBM4koVSyL65Z2GhC7BDGD+rbBWV9jNs0Csjw6dmN1H0pVWlSodjNfNqA0/TaoTTm7mHkPzITr6pKEEyXLSglqYUAcWcLIYEyE2w1ZqHvH92GFSB805k2RgTFYO97xb16EeQW0efYfnmf/jyxNCcKwN0ilUqbd6lKpzPEID0TVqip2f5++uUt7nw/+PWV2vd/KoZA6b3uaeti4jGumN9WdMJ/bXz3g+5/Cu5xvdPwfF5HvAn4cb6hNgRPA54B/oL5j4e3JUr4R3AqbygceeZJ/8+5PYtt9gpMswNQc2kuN6l8fG1iaZ0qklDFaVEAdv36adYhKDpNYqlGbSmzY36+RaUhiAnrLbkSSDkSITZszJ9veVayACC31FeErnZTQWJIwwgy8eSvaYW3RR7j60PyUldCyEgtrNUcc+Ddn0KsMV9Rv9ahXQ7LUEkWHv82CN2KmWUatXMJm09SXg9UGyctahqEhs9kBPZ6mRNK2uyyUov4hgSRJqZRnF7KC4ahab0/pf1c8ej6fZ/7eU/4ldsBGUQnnus+EofamkUs8PwMwbzbyNDxnSMUYQ5Km/B8/9yE+/tFrY65iVUX3Da7cxqR9Q2p3MaNZraEjl8JmHeKSJQxAnOASIbMhrq3oqZBElnCaUTJdrMz2uiyXmtRWM7r5djog5YsIHWJwUOqkVEoJLQ1Yi9us1pXVslCPLNUY4lgI81q1ZkLE7OgzHkdyIyaH4TEtRGFIUBU6HUs0kuQ4za1coNNMqC1GIEIUx6Td9IYax0mW9dd8fqxABgnlIHLzF901h0uuiiuky0FJZfI4o5dyVni/c0pQruHc9Z6ksrq6OmN+txd54JtRVauqdqBY0z3ARVWdO7L0OWOo/dz5HX7yV8+TNqRPKPlNd/nvRgyiEY4MRWifimjLItiEKEgJAiF0DnXe6yLtaKhMgKm1SRbLuFx2VkISB5G0SamMPYvqLKfXGpi4qHviIQAy4FrNUhajjPUF4cSCIu0tXnBXjaho/6kHFS7sHbH3m3OOILr56xrnCZLGGJw9/HiBRP0arTCXbWZS/MdoixPGxupffKfO1w4fU6UU19yD0Y+BOMiLeM8KgBv1EDnHNBtd5pRSpfpMuZRvGrlqMyidFBf3x4HvB87PO9ZzQlJ5x3/8GO97/1OoHY5XLRav5H+4rIOkSidsk60sYoyhlCVoFiA2QsHTTVC4jCWvvpYRnrC0TH1MArLkkgMdnJZ7z11sOqyf7GKDwWAvbyNZLGWcrBqq5YxK5OPhgsjbPowEBEFENNWFOx9ct0upFuHSZOw7Zf6yROFAMuXsCmnT9h8p2j12r+dzDBuZtIAnT8hLcXZoE82NvtpsDD/1+XyiMCB15G055vMqzQrVV5Hes22MIUmSO5pURlHYT1T1jYfd97aTys2Ugby8tcc/+TcfYfPpFk4VdV0IDEHge+iKA3EQWkfgLCYxNM9EiCwQZ5bUWaAyWyUPO8h6RJv62KNfzDrTkMgogUvJJGK5dp3SgiG1ymLY4lRdWKpaypEShpITCLgpOnwch6RJRjTDgDsJ/vH2/4/yqE83gQmkmPwczBIMtrO4gdtkZPAcZtePnYak28lJdsSLM8/O0v+ls9+iFujAuQ8/ezq4z4TBx2JZZlbVz4MWR3J/nm0QkZOqevXgLfu4I0jlMFD1jdV/+T8+yO9/+DLGxoQZBJnz/X17K2bgGBiyWOk+r0y3mzczTwwhDqm26abjpQqcc0QrXdrl6pi9ZXDkwnMECeu1lJX6PidPhtTLhlIsBKHxWccjfuJZCyI2N7aAgV6EapQXxu1ZCgZIpEicO2hZJklGvTroPj/8fIIBSWfucxqpgWK7XUrBgPSRIyqFvrdzeLBUJ4A2W/SLBQOoT50Ymd+08PvRT9TNCNWXYVK5k9WfPKI2xHciLNpeq6oWUbUvVNX9ece77aQyD1SV69evc+XKFc5fuMR7/0uDa4+1qdVjso7L34Zm6hJpLCrZUhWS4dMVDLQMpdCSSQunPoFQ6RJsGPbcQo/0XJZRijrUao5a1VEuOxZKShBbMEoQhbhOyt0LIXF5PDhtwklNlBSc816dwS91liWU4Ye9iFCNI3JpqHeyvY0L28ZBc3QpeW+cSUc6GJ1Owkp1aWh/FX/s0WC7WTA2AzP+qFaqJZp7TcL6fKqiaxbrQnrXwwxUxbfO+XDqaRhhxZmh+lLkKD0rJJX/E7iGf1x6/0Skiw/Zn5KzPxm3hFSOommSc67X82dnZ4elpSW2dg2/9uu7ZLsZRgxBBzoVQ9iaXFzYYtk9WUYlInC5a1kmvDGzgCA1mEqTLGyx+PyISs0XtS7FQGgJjbd7DCIQYTBSLZJDWCvy+LNRiVqso1SPsUk2tO2gvqKqQ/sNDlF8HvVzCHDO9j0u0ntJ9+0NU0irHIW9WJV8y4mnMk2TClw4JKkAlMsxaZJRKs32mA1iUmfCAs5Oc3OPfKLO5/uMhCkFhVmEfjyguimEO3KztMcqkyY9TCrdbvdWJxTeDN6M76W8h+eE4l9RsOn2lZO8WSLJsozNzU2uXLlCo9FgdXWVM2fO8MIXvpB3/NtHePB9Tw210VSFckto1xylkVzKdsXRWq4hWuTU+CemML5aEoIFh1k0SFUgBheEnFsWFk4KhahtEJzO9yaMQ8XNkUPSg4y85tQTEwxXIxMp3ooDn80YNukmRAt+i3I59oFjA6dQGLD7q2gwLqdPIXFURO/mMJNJZdpcwgmRtN54mRaHnYJhmprlkMnm9Eh1mx2qwbixd8jmNODm7795Bsh81D7l8oTISWdgnh2SSu5Kfgfw71V1rFCTiLz1sCURbnuYfpIkJEnCww8/TKfTYX19nXvvvZfFxUVEhPOXrvMj//R3aV7qYEZun8tveLkJnbIl7voK9vsnArKwhqj/20UppTVLsBAQVQ1do5ggREbiJUQVdQP5JYdEKTQEc/tVJkjOAmERlZtLEhPNrBPsRj2oEjpLEPbbqh6ktYgMyyIFwfRUg/zLcikgTe1Ez9QkYWfU81MUFhiMXp30uAw+Q639BrUZwXtT4/FGkO3tUZpUkXCAKHSi1NOfS2Yz4gHXYq0U0FUoTbrlI10f71TvT54v9P3kV21C0uCXH3bM22JTabfbXL16lStXruDy3rRFT+RB/Pv3fIrf/NVHkSnClyAYI1hniLvKrtkjvXsRsxQjNaDkCCIlissYcagIKTPe8jbLK6v1cRiSDo0nphuGgu9KHKDO9dezgLcZHTy2CIxWgzzMOeRKojfSVrzEVEgKcRySZRNobpJKCZhRO0huOJ4vVsXPxdgUiWZ5jeYjcWk3pnwzQCq98NrJBwtNOGabsk4nB+KOBCfeqZIKgKruDvyuImKAF6nqo4PfzYtnjFQajQZXrlwZaq7+8pe/nHK5zIc+9KEhQtlrdPhn//cfcvHRnTHJJ1VLWhaSaohbDDCVmH0MVgRTD1jYqE+eQD7MrMc5MG6sYdZhKCI0YK3OLefooLFWvY4eFC08ogBrXT+B7RAzicyoRDfx6DPHECdEke9KWMT+6PTBxpAkmW/iPjgmhZHYjXw6cQaAIs4y8zGdox5yr7/PhBsz+BKoxIYkdUTRlDF1QNXJf+lH9w+rbDpiS7qTvT8TsA78GvCn5i13MIhb2vdnb2+v17KjXC5z6tQpXvWqVxGPNMIq8naMMfzRHz/JO97+IO0M0pWQtByRlQxZFGKNoCboqS3Fy8Dlovf0mh8M3XMzpYJ6GLhxaUAKu8rs6+qcj8aUALI060fDzoAyYKkVr7OHgT9OFIVolhbRWMMengPGHV0TE6derPApg8VDrUa827SQYnqGXqY4pRQ0E8LqLFf8fJju0/MolSNsNt4jaRDdZptKYFHCMffv4HoxxpCpTPXMTVa1BvSh/ockmWXn2rXe+HeypDIBIXA5//3g2IMJOx8p2u02Tz75JNvb2ywuLnLq1Cnuu+++mfVJi8jDJ89f44d/81O4e9bG7B0FRu+14g151ma4Wc/qHM9xEDokDnCZw4QHvwGHhk8zwkUflWs7CVOKq/k55yTopbDBcH1Hdak04JUZ2qt3IrPusHOO0TbKkwgxlwOY9ryEM/Jz+ipZ35PknGKCvm0mkumEEsbBwYmF6gtJHdSOo1KJSVqtmaSizaZPAJz45fCnbparfRKrOMu4/iMEUYnd3V1arRY/9mM/RpqmdDqdMRX/DkWLPLlQ5yocM4wjb/IqIpw4cYKv/uqv5uUvfzmnTp06sOBxQSof/cw2YRxPJZSp+4uAZGgQoVO9ASNxHxMQRpYwjm4obaDU99iOqQi+9+7ATKa4g2cFoYsM+mWmw3aTMbXjxsLrJ7uRR6+dMEiQft05VYIppKIKcRxjsxnu2Py4abszlsA4abuDOgYOxaeMfTlSzX+i5DH6XR/eMD++bRDF3H///VSrVV772teyu7vLn//zf56///f//sy5PtMQkQUR+W9F5FTxmapeV9Vfzb83IhKKyNxseOSSSqVSoVye3gxqEgpS+fTTu5gpouck9HR0lKAshHEZZzsH1lGdVLRQnSOu5AryhLfXQSiFw6RV7FKoDHJgUaQ8ZmJoTgfuMobyhE6BUTzdazMJPpI2F9UFBqNvphmLRfoSjIggJhjadjTWZcw9O2lMl/q2kLO2EZkQqzJy/xr7U5/0sduSq6MqMm50n3Q/poTqqwl78VqvfOUrqVQqPPDAA7Rah2pLPE/PHwF+EvhmvITxHar68CEOsQp8D/ApEXkE3/9nH3+2Z4HXAq/AJxZ+eNogg7glksphUZDKU1eaWHv4Mg5OwQzn7Y3Pa+SvUfe0qCUqR7khcXzng86rsGMU3g3/9i72necsIJRpb835EQeMuZzDMDzUWEalF/o+et7zSHE2ywjDCKFfXFzz/3qkMoeabuYobi3ArPprnUabiinGGT/mmJQz6zpN+E4dTIxUMWHPTgj96zjYR3xO/Bwwq53hN+GLXL8A+NvA2w4zuKo+pap/CXgA+O+BX8WTx3/GB8R9Fvi2kVKTM3FHhOmLCFmWsdVIoCwYObzIXiobUg7xdh95uwQDgV2ThphkfRg0WIb5K09gLEp2FgY9QJEZLhR0I87pMChcvKNiz/xjjNWkHSg/KUaHFsvwAfwx0y7Ey/0xBtW2gkyc9aEE0y/V/JnUOuPd6BqNAzpmzk/kk8wL6t1j45JK4EnlZgNC5+j58wbgF3IPzQMisiwiZ1T10rzHyD08vwX81k1NNseRSypw+DesMYbPPHGVjKBXNOewKDxBc5PKyByDYDCxbPYceu/bnBBEBm0QMFp4ceZoudqgqkQjkgoi2AEb0TyXNZwS9XqYT2cZaavVEmk6wfAr/ViScEqBcOhLjAO98Ab+9dFtd+ZKFARmu5UH6tFONrSOqjjTH6BJz2agOrlbSOClwxspSHVInCXvdZzjfP7ZoZDbTgb/3TAb3jHqzyOPXUeMIM4x2AlhHmiWkPWyQufbZ3ThR2F/x0m85lxfeC9Mc0UkatZNCQa8RWEUoROCxKZDcKmlVh9ejHE5Gu7EJ+OLbxBJkhBOsKn4+Y9/Nm2kcGox6cLlM/seBxOS/3oj5OSjAx0hh2eUW8nSLmbOBVkqx0PZxoMPj20MFmWaQIY6/vekchF+2PGLWI4DskkyVRBgrT1UX/EbxBSn/vxQDzfy78be7twiSeWwMMbw2IW8zF/mF+9h7oWUHGq8lcTOLekMl1sK4v5D2XuoBl+i0ieTUcTihlyfYRzO8EJNmsn0GzHqAZplxY7UTZUyJl2W0dQjgE43HQi4uzGMJhFOQrVaJukW11wYu7pZOrfEG8e+Fu8oukP2lDFTE71ciAFU4pB02r2bMp/JNpWop/4chRo0A+eBuwb+PofvUjgXROSMiHy1iByqDccs3DGkcmnHZwSKiVCbjRlSZyEoF8awyUWJpqFX1sBa4krfO+GcjogkzDTWliaI6Yf1SgfTFJTRN+mMMUoz1/LkWJXREUPMwSL7jEvsnDvY+1Zw9sSL5C92IIPZ0bmUMENQmzSWbY7YUya9FQYvcH7PdfTz4uspZDPpkdMg8iUebn2G8m8Af1M8vhLYPYw9BXg58MPAW0Tkm0TkPhFZy9ug3hDuCENtmmXsdhwEASaXOA7TEKKwKwogQYDLLGYOfbx4ExrNCKKwH0gZhn6MERfstFCxOBj/1LrppZ3G5wHhtBVzGAPr0AGH3ebWaZ7Hc5AXa3ILk6G/Zsyp27HUF6KxfSZhmqveOYeoDIlSQ5nDY7tN1pe1OZ7vM1xUSSbuJ2omz38aoU06jyDOCTa41T1/3oN3Jz+Odym/6RBji6r+LvC7IvJNeKPvi4HHgN8XkT8ELqtqNmucUdwRpPLYhWa/CI/4m+7Ui1GzHs1eF+N87auCCUuobXs3yEwoRXhDFA5EUap49cXNfx1HE/gALG50Xc+ci3cn35zEM6S1jKyXUjkiSy3xAekD09SnIa1hxl2JzPxv5Gnk1Gm2qJVCxu7+5Hg8XzZzEgc092d33RA8eY3Na1hK6m0+5Wa4zI4dR4MIay0iclOkMkfPHwW+9wbH1iK3R1V/G/htABF5CfBXgO8CIhH531T1d25L29N8Qofe53MX+oWlBG8sU3ykrJ0j50ZNP17BMMGdCvkCHwx7k15x6zAY8LAUcRQTHQXTvCWT5yYiMxfg4DFLU4Ljxo45haiccwQDd3NUqjLGoHPEfUyqJi9GhoLVvMFyQvkDDtONsNhjHMYmSGSGSmAOT2h4d2Fc7e022pQlY1zD71+ZLHOE4QQJR8e3hWnqGpND9cPojq+lAj1SArwHKP/oUeBHgR/NW3TI6LazcEd4f754baBandJTUg9ekIqQYvLVJJKH7Lve197ToEXgVRGM1Z+jiA/PHziDsbD6ga/G3mDOubFI2GLu814Jl1hq9cmL0eaFgHrjymRR33YT4oMiZg+4nJ1uSjwtQ3dwmGnPlk7uR3TY6cgc5De0vRE0fwY0N75mjf0D52KdEk9IIeld75EbOM3ON+nNrEHpmbKpHBkGvT65jUby4LgnDzPOHWGovbY/XDqxEDMn1swZghBUhj9RFGv7RFK4fqc9YIoSxiMeAqaL5mOcmaVjZSb9MedvPWJkusekXI2GPBvTPEDlUIb76zDwZs3PZbINu/9hSDDVjTtIkZVqSJKMq4ee1Od5pPwxS+WQLB0vltNP/ZvfoFQql3K3sr8O2mr2hxgyV80hOfZeasPXeWqtnIkVquJnhaQCFKH+Q8hVokNY9Pq47aSy12jRGn0+B9hkVilBABMPRmt6d7BzPudCegkp02HTLnFtUiWz+a5nOZCJ0llcjrDJfG9cnyUzRRWYll07gsj4lTOUbyPj12Z0rMG/42A+bdi3/Bx/dNrtdKysxSRIXqwpDEPsCKlkaTIQ2j7XdACIS8Pkq43GuKdaC8KYTBoF3JSOn9OeCWcnyKVh1ItTudNJpbCt5F6f0yKyLiK1Gw2Au+2G2gc/eRlG39KZ7SVjTUOh1mD6RXz8S1x8Qeo5EQa+Ydagt0mYbj8Z/TieEVCTqc7VnTc8IKhtZjpKMUYeSSsquRqSXz/nVTkxQrGeBk0G4k/WX7c54kvGDjyAyMRzqb9Dm4wElCXtNvUBN9bUFhgT5lNIZkmrTcWkDL0zZeCH+v9NI4nY+Mr6w2UXZOotCnDe2zd4XmE8pP7cqaQiImvA84AXAq8E7sYbiC4CfyAiH1DVncOMedtJ5WOPb419ZoLYG7+CsBddO1yysG/Bm1T3xDkOJKUCQeAmBoFNU71G3/WzzRgyZoOZhNGcn7FjDrtectWuOIJHbAxGBSN9Udw5xZh+9rNY8Hk89K3h+fjeyHqIF9OE6xOa+Svk94YZWdgmy2CSCjaHJ02dgkC236Q8lewHVZXJRBGHIYnVvFXKyBwmoByHdDGEA32JXFR6VvT8Ab4B+JvAF/BJhL+Sf34PPkP5fxWRfwW8S+ds2n7bvT9PXBqPJShiVaDwAhUuw2J15EvVTk6Nl1IFTVtIfLAnIorcBDF4htcpN9YWCzuaUdJgSlb8GMKcCCR/g46N40alFb/CDD4936Yp5QV/nQa/FylWohdRJBBQSyABzuXv//zUu52ExYVy3506rmVz0KqeFZ4/Dj+vseC+KZ6ledA7+179lMlH7Z/KyHkOCIwT7U/qpupkjuFmZ5rHqYRheKeTyidV9S9M+Pwh4NdEJAJeBtSB3XkGvO02lSu7w32KerdsIIJS8joCRTmBYpuopMgEkd23QJ2P3MLIq1qjazmIAmw6OVZlcORZwaPzBPBlaUatNoP81PftKWAQQmMIMJh8LmWbDUSx9o0I/efff1Yqx7jU9UszqCJOMeoIbNgjcy1UgwnXZRYO4/npYWSRmjGSnhKcMmMsNyHobWi4WY9G8f2AOlUcfR41tIcBSeVOtqnk7uPC23OviLxCRMr5ZyVVTVX1kcMUwL6tpHLp2i7tQZVaixaiSu8lK/03/ijCib0RPEaLP0+COkcQu1waGv7OhOGBz7FNspl5Mi53Tc9yjQcwMelsUGgRDQjFEBtDFJg84S9X74whjkooZkJ8zgRrhBVQQZ1DyP+JUtMMsda3qRjsrZQTjO/W0R9t1ObU6aSHaipfpN1IEPZIs9NqE42145iX1RTF0Gl1qUxrv9DbcpR0J2HYAK+qeZvTKWOOSlxh5VlBKnlsCsB/A/wL4BHgxSJSAf6ViLzgsGPeNpuKqvKf//hJZITXjBgsYNT1hMmiBdToDTUTApd633Fw4XeDJa54KUGGjTb5HCfvVyyoCNeLkZk4vipO3RR1wqNYhsVDW4TRi/rm6EbAVAKwDgn7TZaLMQWolsSXftCBotTqeotGiygyVYIspV+iqpBL+qRqcJC3B1ExIIahpmM9+9ZwwJfRMPcKTb0cI/Ablislkk6XuBzgum1MPFq1mwNtKcWG5VqJvStbk/v7TMBMj79j6G3Wez5GDd3F5tYOvaI1LuOS5NkUp/JjwLeSm9dUtS0iLwIOXVXqGSWVosL+5cuX2dzc5KOfaQ5vUOg2yphSOym6dlbjwDRV5AC7YTCQwTpm+WSGuCuACqWpJQI84moJm2VE0fRcGEOGqic2I4KoEBgwpv/EhmFI4OyEV6vm51GINH1TASp+0eQLoShnaTUcCeLKf49KgPHSVWGTUUXEDtwO6R3VBDLUHL1vpJ2bBQbUDH8ffHzSjQnPgk8x6F6/Pv+BZ8zTqUMG1bnc5tUj6vx/xV21aTbcxiAq4VynJ6ksLy/PfzK3B22gg++dfD3/TPD5RIfCLTfUqir7+/tcvnyZa9euUavVOH36NPfffz8/98H/7F0Sg7J+7y6NVOQaWZTOOeyM569jHZXpXwPe89Mbb5KBdMZb1wjEB5AK5N7aKeOKQMkIoRiMeE+NapH7pP5tKZ5gQoRJFh7nHBrmUoP2vSlC3gSsJ60UKzhDZJiNO80uS0slRAYryXvVrcjYDsSrF6QWNSGlOCJJLf0Wzf2yiW7SSc+8SP4+mIkVtg4WfbqtLq1rW+yfv0zaaMCZg+78wUP37Sn+ujnrhtqF9Mi7GMZmoBHk5y9xBed2MMbcsd0JAQaq5f8h8I34MgqnROR1eLfy9mHHvGUN2guJZJBInv/85w+l1V/bT0CmiBtZYVD0d86OPKfqkvztOvnJUBUCmR2VO5j3MegnKXBQwetwLrtNTogDRFLkHAUCq7ESBQNvvqLVxYjElCSKGocxxXe51NDNMBXpBXVNnlF/HxuGnhwG1KOSmn4kbZGcp94TY/L5ekOlIqIYl4IDt99FV+qImCHPj06KMB2dkWhOoLlg6vy5jW83ef/9nX3aV6/Revoiq609lioRsRV2uwIHvk505tjQJ5WiAHbmvOt44rmQxyvlA6ZO+fgnP9WLU2m323csqRRQ1R8SkR8FGsAvA38E/F1VHY/5OAC3hFSeeOIJGo3GRCIp8NknrpKqmXBj/fIejFUpMNgEbLS3zdgokifQTSMtIIxSBtvWjapYM+uVMpIVPGUbm7d1NcZbMoz4uBER0DTDlA1FnVoRmVicSgSCCFzgV7dzuUdIoWQtMtABYJgmx8ex+U/E9IyloRhvhBywxUixQ2FTgJ63qRjZZAnGpiTdjLhU8c3KpSCKwbf6BLIYMCIrvmfywpRFqwjWZjS3d+lcuUrn6fOckYRqGLIGSG4Xy0xMbW+bJK3PlcM0q/ZONQpIU0c4auOZAi062uWE+pVf+ZV87GMf44EHHuAXf/EX+eM//mPiOOa1r33tM1EN7oagqv8Y+MeTvhORvw/8xG3JUga47777Drxwf/yZa4gZeGJHpjoYq9JHfyMTy/QsVnwJBJe1etFpo9uqywjLs9+ms6Qcay1hND1bF4o3WEAUSI9IiokoUAkkt7eM7D8hcC93ivlxRQhzF3Jsg5y0iiMWmCKzRN4WEgRBL3Eys/0uj8K4Cjt4Zlp8n7ucFbCthLhu0CzpyUpK2K8bPI1gCvsxBmO73hA9gDTN2N+8TuvSVdxTT3GualiA/D0QjtGms0otDmg3usQrM6SVae7EARhjGI70mr1DZCBz5FG13nMUBAHf+q3fyqOPPspLXvISPvzhD/O6180qjD+MXAX5SfxD9m9U9cdGvv864D8CT+Qf/bqq/ujcBxg/Xk9h1vHamd8G/MQ849zStqezAuEefXr3wDFGCwf00jYE5qlL5ZwhYLKCFOCISsODuCIuI5+2dTr1PFyaEi72LcGDnGXUx68ERimFKWoKd68PniranQb0O+IVi82vVxkaF4U0U+JScZD+GdWqBhPQ8x717SKTr30UhthOipQlD+WHWi3GmEI6MZ4YBqSWAj5nJ38D9J8/Ahf7uLD8ORR/8f38gwBMMEYwg1lK5WqZVmMfSmXarQ6tzR06Fy9TunqR1UrMIgLVObKn2x0Akp0WzCKVPpvNHm/oPhxglA9NP6q2F9Hcj6h99atfzVd+5VceeA4FxBu+/hXwZ/ElIx8Skd9Q1U+PbPpfVPX1cw88A1qkeE+GmTfB8LZF1H7x2mSj8uCsRYdJRfGL1SkTm22PjeXylqgTLkUwqY4GhTQBCATlCJdagglieWQK9Uhy1cBLI4EoxvRtKB2rFFwwfG2U2HijaT/GrDCmFtvlSoJAZhzOyVgbUGP8AhcRXwIgN676+JP+mJrbawQlcBmBeGWm20pYXq4y6IQvjklBIgXBFGSiPoEus4bYKSWXDXxXXMn8jGwGNm97H4RgTI+P1DmcKHs7e1z57OfZ2bvOWmuXlVJ+cyvzh/2nTok6bQgCor0GSboyVQUqePmgR/WwObpO8qjanEFvMkz/K4DHVfULACLy7/CV2UZJ5Y7DLZFUDiIWay3brWyyvWPglT+pJYIALvNFfA7CLENrGE5OY+ibDvOgtEEpcGC4OM9ODhECowSmaOPZJxQEpBTj0hQTRd4wOXBpgrzam+RPuScpM5CLlC9uFaJSCWyGDhgz0yRFo/GHX4yABt6e46yPdSnUL/GSVHGRI6c9Mpp8PfoE4zTfznnbkAbiF1CpTq/3ztCtL+w0+RjWgs1IM8vedpPmtauY65c5VYUzrSYLtgOlCW+LAQl1GjITEAe+k1otDGk2EuKVKQu5z5Mz4dTRi1uYg2B60swIqdxg8Nuk1huvmbDdV4nIn+A9Nd+vqp867IEOQi41zV0K8bYEv33sM5fRGQbUHiaQilXAOCSIOehOO5sbdoskugEEgWVyTMTwmM4pgyVoBQhE2ChBKdSeudE3VvTqxKB9wwQBJbV5ozMFkxOXAOry9ebnMeT8KB587UsrsTFkA9tUUMKRWpZeDfJjBwacBJhc1dAiO9MV7lEh7qU5TF5hntu8dGKKbUy+gCKDzVLiUhmZsr8XlpRuu0PjwiVaV68RtPc5u1LmpDq0YmgmASYoEiALpVf6+88BZ4cVlGS3AdNIJR/5oN7jg9rAPCW3ejGGpk8qInKjLuVJBxx94B8G7lHVhoh8M/Af8J0KbwgisoLnhBRPIqmqdvEL5VfnHee2kMojn9ucb8MJ1csVqJTnSob3MRyEEz0qvtrb5PD4ISUlP1AgvsJ7kNctqZQcTvzbTkxBCLkuXRhUc8lFHD6ZzxTag2K7FqmFCJM8YMX+UESzqoqv5j6QX1+J8jhj1V6gm0gRn9K30RRjSeBFlczEmLy4cyRBb7segVHYEzRXeybNTanWY/avNVk8d9qH/Q8aQFVp7uzTvHSJZOsade2wvlCBkkVKMap5ZJA6ZGuHWiVgv+OolQIvaUn/fvgkx9lwnXTIABvutMjOOsJZEu1BD9GgiWEOXcg5502q0o/ZEZEblVQObL2hqnsDv79HRH5aRNZVdc4FRjFPAf4M8JeARfxZBPgEwu9W1RT4Z/OOd1tI5TPn9w7eCMZiVQrEZaHLwc9EUQFuLCDPpsRTDH9OFW+q9HVZlkPBhdp72/cguXfKDBhhiq/6R/Jj4rBFd0wHYgJqgRDHXuVxveTXQfUot0n0yMFLOZqrRQKItTjrF3ifSIbPVaAXWt+fuuZBa0JUiXtqjTf0+vF6tK3D13lwHGMMkc1D+w1YJ+xd3aF98Tx2Z5OTZThViqCmiOYhAiPXyFqHGIcSIC5DUuvPMQggLAy8mhvtJ0svmTqCVhcJTC/YcCEKaLcT6tG0xVxkcU+HDkg/E+sej25fFMAeSay8QZvKQ8ALROR5wAXgjcBfG9xARE4DV/IiS1+Bf0seOq4EOI3v2fy/4T1JBm+1nJ1ENQW3hVQubrWZR7ANozKZy3yQxgCyOWctcRnNumgcDR0tNDpSNrFPCqERjDoiI4g4SpLSGenKo1mGFdMPd5+gXvlRveolNvLhNsXmqsTG9d5kw9vjDa+Fa3bAF545zfV8TwAmL/U9y9vjMZwJVSjH3VbK4lIVKRZYHu7iJZZcQhkYdtg14L9IUmX7/FUaly+TbV/jeetllgGWo0LMAMyg7XmIgzsNR6XiF5zWK6TNDkEg4BRJM19PR0DDoC9FjZxdSkhpQrp4stOGxRmL+aDksJ73b85coiyDUoCTYCjQ4EYkFVXNROT7gN/FU9U7VfVTIvJd+fc/A/xl4LtFJMOH2b/xBktANoCHVfUdN7DvGG6ZoXbaubXaXfa6brzaW47RvUaXinOORJ2f+AHGO29o9dLHYDU4E9ihnQ15vk0RKu9Mz+XZTPM8HPqqQZkUM1IcV9EhIpCCdIziZDgIT0SJTIbTMF/QxbnKgC3Fv3L9tfRrs9vNKMUxYnwQWxznRlmk/yb1ltQhshp9I0elkG4nI0wlt60MUEUu7KiaPIpZe+HpxYhJO6G7vYdttGg+eZ67zi6zGgisl3O3ck//y9ubCjjr1aPiUIUg1GwgudS4UA1o7VqivBKfcyC55EiWe5CiEAIzcE4zGsht7ZGdXZqSSX5w47laOfSu/Li4rgfA5ukSI892t9udq8zm2AxV34Pv6zP42c8M/P5TwE8deuAcIlLHF2kSoJWT2O/gJZQO0FDV5owhJuIZl1Qe+vSlqYQCjBFF8WLrf58gcYQxMlc3Ql9XJS+qJF6cjUKfORwWRFJoDVosZvEShtBbWAK9t205GC0zoD4ExeS1+g0MWn0SO95YLCjiSdTh1BQOlv45i+TFmTS32QiZKS6QgSTBVIeJqrczA7Emuc1lcKpGwFg7ozqan4sP4BWsE5rXG+juPul+i+VKxMZKja6USe8+SdZuT+3h7K+DzY27eT6Cs7laln+X27ZUhTSqUtauTxFgIFKpsJekKaTir08YIIHgkrR3tb366rEUh7SaKQtLUzKE5yAKLe7+HJzSC74dcUIU4fp3IE4B/xKf3xMCXwv8QP7dOvBR4E+LSDBv1Te4DaTyJ48dLj9pNFbFRIIp3t5z7G+t9pSXQiJZrWeEYdBz3RZrzy/s4cXRsUI9/72Qviph/2HvWTFkQLrozc2PlQYhkrqhronOFu5Wv4NPIMwNu2LGvEgAYSlCU4tEQi0yPXvDxOuWn5Cfsv9F888VwWYCeR2WSXDO0dppke63Sff3ObdeIVooobW4ZxhOdtvUayUauy3qwXhxilEDtJAblgKDYmjttqlWIj+HnGzKJYttZr2mZr0IXGGYYFSRxPlC51tttFpCgvGXUHe3OZlUVJnH3F/c83kElViE1AFBOCSp32D96FsOVf08cO8c2x2qZ8ozrv48dnF6qT+PEaPniDQS5FLkQcl+vf1VvZ1EXF6lTSFIUfUPsrdrTNoRUCEolxGbQhj5B1yVIHfN9mI/BuY+XADIzzGKAmKXYov4hSwjrOZ2DClewrnq04tlKWJHtEdaJvCGUYt/K/Y6OU6y5+T2jOIYFGYfzc2wNiOs5Qs9R5ZaOjsNtNXBtducO7UEiwYWF3uSmRh/f5wKziYIJUwtRm068jYeMu+O0g2KkqZCOcwzivJSA3GtTON6Sm1E8tF87vlN633a7FgqYYCmGS7NHeWhQUwuY2ztYzdWvJ1m9DrNI6kcglTC0NBBkDA8MKL8TkEegyL4kpH/PbAB7AG/raq/dyNjPuOSypWdDrNqZozdu5FwWBmIyzAy3dYW5AWf6xWLhq6n2oR0Carl4WNpPyOlJ4Hkb0ZRnz6U5s+yiFCpSK/sQjFG3w5ZPISmJy2Ab8NR0H1JlDAMcU56ao8MMIPXwIbPu5A4XG7viYpI2uJp72k5+WLqiVAjED/HbiZElTKdVpd0r4lrtKmK48xKDRYjWIx7xxRVRuNQbJJQq4eoCags1ehc3KRajfoHGTm49K6uD4k26gg6DUw9bwJmBO9CsmB0QNrTIR4ZDE5UFNvN1ZPMIVgwgnZz+0sYsBjGtNopC/V46OESFJsd3JepRyZzvsRUAjBhL/DtTkbeLMyKyMvwRZo+DbwL37T9H4rIOVV957ztTgvcUklllKm3rjdpjdYwGEWhixQbjZTnkqD3qFEUny6O45P2vERSGOzTDIK4sDcI1ZEz7j+eE+aRfxg6sAP7pVb6XkMZF7n9bFxPFy9iRzQPxAud9+4UNph5UEg+QaA+HT/wpQNUxQdZDUx6cifg/v1IGgmN7QY7zRZrlYC1WhVWKn6OAGpy9WD6orOdLuUoBBxiIKvVcZoi6sYJsafeqF/4QLedUh1w6/dsL4EQrVfpbLcoFe9QGT4frzUG3jvT7CCV3kVH3EDoXGbRzNL4zDa1Lz2NBAaR/jml2cFBon1JZV5SMV79eRaQCv1H96XAtqr+z/nnfyAijwF/C3gnjFT1PgDPqKTywCcujRmxxiHDGpADzUVjlyVoONi/zifFhQEY8Q9378Wd/+xmEVVVJL/BPrN4BjSvwCYD5DcwJUm6UI+GRPCh0CwdUM1ywnEOmh2LVGOMEV/+cYZoPJBBPwbnlKSbIfV8rrk6UsRpDUyrNwdnHVkrQ9tK6AKef26DrlTJWg1q1fzdLyaPPi6kHPGG1VG6zf/MMtCBwLLaUonOtS7lOM9lcplX5VQxYsdIzra6xBNKRypKKQ5ooRDmfnhrUdQTiUoe7+ILlhsZ6WMs+HvtXG+u0mphOxlB4GlSohAJ8zjmg7jC0rPhzANVyevu9knlBhv9PRMoJrYPlPKYmCbePf1ibqBAEzzDpPLxz88xRylUD48wiElt5sPyjcWEpbxNKGC0l2mLMp7LISBhTEgLizfGmNj5N/HI29QUb3czIKLk0LyxOyoshG6EEMaskX1JLTfc+vKQxvOpKti+xwdypWASgwybl1CFNHWUA5u7SQeNgf5/mofU2yzDNjOkCxUT84K77+69l5p7+yzUY7LSIu3ru9Qq/VSAnqPDjUscxfml3ZRybIeuQxAYNDQ9+48ncYNaLw24IclVyDKHxgNlKYpzyJnYlitAloe5BBStQ9T1I3zbTUutPOklJUM/VmshjattFk/7cqsuc5AK2bUUt+DvS5FhParP9kL55+tg671PA+pPlmWEE/o13wkYUGneC3wpPsz/D/PfrwF/L9/u9htqp+HJKzNaJ8DIItL+mwb/wC0tGDTqu4aVvCh2nlPT37o/huQ2AV8ZzQd1OYTcJOFjSQ7oEFgUblJRYgmnShG95A/UN/AasJNYUcQqQSAYGS7pKBRvs+FBB6syFlaKTC3LU0LPk3YKiRBmsFZZZO3MYt9gnJ9iZi1Zu42GJcLAEFUrpMn+UBV78eJabv8YJxfbToaqoBW2l6hWIrveJOp14XJI7umRPE5F8YmQpTB/+8twigN4r1ilHtHdTPL8Knw+jbNeGhVvf0mtUpoz6LN5vc3ixoJPdShsKYlFu3mRb+MNvCbMz79QfUWxNpu75YvabMimcof3/CmwiC+z8G+AV+NruHyBual0GM8oqVzbS5jdKKr/8JN7ZQIjLNcsLXXEyxmdfDEOvlBUisC00Rvfb5ilIuAybOgI1Psee21AJlk2erYdSDL1xkMR4rDIWZG+fl54RmTgbTuCRAxlVVyqUJI+AQ2yRs/I6+lvSJUp3pyRQYqWSE7p7CeYLCRIhbtOrlFbrVEMoqhPtCvmpdC9vsvSQj8Zs1Qp00pSApeM2QCmkYvLUjSK8gurvbd8HEe0nI5VpRB8DQqnnhjSRpdKHAzc6+I0c+p0lsgoSZIhhRs+r/AvkBunLUG3jcRCUQOml3802K9H/HHc9QYuXfUS1KDqWrysLahz2AQIBBMZjFFKUUjXKmmajt2ySXCZwwTRs6U9R2GA/RvAKVX9R/jgN0Tk7wErwA+LiJlQtGkqnrHSB09e2KbrzGhaxERdNTC56UV8UoyJUkhi7ABxysD/+59MIhZPHoEIlVApVfqPvFPvZejVAhnaqf9rAsS53cKI6en+zvkoDzHFOU9/3KJSTGhTRHxTr950CykIkLxgo5GR8+jVc/VBVHvb28TZAmEmfMm990w4mvZ0SN+V0JN1liaIZvgKL32UFxfYubrDysK0c1AwPq+m0+x41csVcmKPChEEU69gOx2CXkxO//4afyNwYQyS4h3LilPjDZsjL0ZXHpHmTDCUP+RVoYAi6VFzkdaJ6anCBcefWiyxt+NYOpF7m1TJQpO/44rCWVpcblzivP0lEJIgpBdjowNnNIFg1HsGni2SypqI3I0vqZCKyEvxRHIB31u5SGCcT0zL8YxJKg9++krfbTqBSEQ8kajB1/cock+cIqn6xuOEvSjLUfrwC34wHkIJ8rd9JEomSrk0YjDMty8W7DTjaZIZosghxuTuVc3JUXKJRXs2ml6wGcXPYkZeJSoFzqsDxe6ae4Kgr6qM3EObWIIkJc4spRRe9PznEwGlodojfr/em3fQC5NzRbfVplarIDrc7kMEVk4u0drapFa4hQckrsJrZXBImnhVaSx72ZNYeaFMs9GhGhYzyg+ej+esI9AEFR+Kb9RLMqORLApUVyt0Lu1RLnozDTw3nXZKNe7PQDUnHVXE5vdZjJdQc3Wnc/E6S6tr+XSE2GkeB6Ujz5L/rIimbV5JyHYTKjVDEOaSVz7JwdstADbDDag/d7KkAqwCbwL+NL4Vx9vx7U3LwAfxBbDhkGrQMyKpqCofe2xzjEzE+Lwa55+s3mPlCqOcePE7VXDaoivxgISivd96wmz+5u83Gs91+MxADFEwbm+Sgf/5VrkjMq5CUIoJXNfHnlRlKKakRwxDYfJ9IulfBK+uFB4qf6zCCzRISP53200oZY6ys5xcKbF2doWkDUsLdZyDLE1pNDvUqnEvP6jnBp4gcGRpRkiKb41rchWrSI8WjAmIF1ZI2rvEpcKD4xeXKYy4gNo071EtPVvJKIe6UghqB9Sp4vyUTstRCcTvRyHfqI9TyavRgaLWL8rUKaV8K9Si4onddhyx8SmVSO7tsSP3V51XFQXv3eq0vVG8MMBNkOgVIG+KppkFa8naKVhFE0uWCCoQxL6Mp9D3MimwWA642EkInwWSiqp+Dvg7IvLPgUhVH5uy3bgUMAO3VFJpNBpcunSJq1ev8tSVBr7Kmfiaqka9d3DKvgqYvOOe6yjxqjKsO+VSRv7e7wlBBTkNkEKrI8Sx9KWLkQP1olSkUEEcvbWZP+dl43V2E05IDBPfu1nM7GsvGhCLMrzWvM3DqaLtlIo6Yptxz8Yi5XLJL1LnaO3DylIdmwcDBmGIqYVs7exTL8eUSiHFmYxqTwDdRoNauS+FeLd1/mbPCTEuRTSTKpJ0iILiCvfnmnZT4iLSVXKlwZiep6sg6IXVOp1LO5QrhaqYq2Jq0cY+Uh64j1LYkBha5N4ga2BlEZd28+unvR0SG1EyaW4/meCcGJi6p03HqarQ3MtYWC17g+3g5jnxqHWQjpa8loEhvXjiutYTmgETBxjjCd1gePrKFtEXv0i5XKbZbN6x3Qml//bfBL5FRN4B/O+q+rsi8q3AI9OIZhZuGak8/PDDiAgbGxvcc8896O+9hzAMyAhwwajYDpPUNocXTzNniGM39OgIReZxQS79b7xYLeQGExKJiWyCDROEEVLoGQnJozh9DZfAyJAEoM5SnVoXVyYTS85uPaOrsRiTQT4H5zKkkxKlykLouP++k+PXwDqyLqwu14aulSc8ZXltkVazi7baVGr9zOnBd0uaZhh1nkTGpi6+vEDuqq3WKuxdbRHU+hJncWeydpIbWAevdk5QUrh9/WJNw4iS4g28he1FFXS4OJaojtlKBr9bXAxpX2pRzksKqCpOhKzTRasGGUhO1fzEFfKkzvFnqrPTZWGthIQGrYRYY72sVFTFKzIpB1GOwAkSFOcx8CJCcKm3v2AMaoQTG/fjFhc5f/48f+fv/B3W1tZ46KGH+LIv+7I7LXTf5BG1/wjo4lWg4iH87/Bq0GOHNdTKHJLNoUQf8DVo2+12z0/vcmv87u4un3r0UZ64tEU3rJAGZZpZyPVWyn7b0mhndLpKNwHVMH9gcmPo3U1stECQe4XGrSrjMMX0BZZKeyyfSQlGG4D3JPt+0BeAFN6d/O81SViKHHE5hpwk+m+wvrojg9+NGvJaTU5VlHoolNWyUok4c2p5YC4DkboKWWZxqWGhXuvn3gzS54DdI00zurstFhbLY16cxs516uXhz0B7MS15SFhfJQIaV65QW4h7c0GgsblLrTJcW0YKsQdAtWf8dklCdvU65QEmbu93Ket4FGuh9U1K8FNg72rCQpD1JJmkY9G9DiYMfY/pwR0OWLOXGhlnv+IeJAi4/pktFmOLBnnfo8xN3H9nK8PuZayUR9Ur/z8FGm3h+tILqH3zX2Hhec/nqaeeIo5jPvvZz/JLv/RLVCoVvv/7v59XvvKVk6Z1W5imyD7Oi2r/E3whqE+o6i+LyLuA/6Cqv3ZHeH8ee+wx/vE//sd8x3d8ByJCrVYjTVOWlpZ4xZd8CX/mv1k+kLGf+OJ5nt7c4/Jumyt7Ha7bLt04ZafdpZkqKSFdK2hYYloRHUceh6JKOcp6hKLaJ5w+kYzYgURBTc/uoKgvdt2PZe8TW25LGKynoqh/+ycJFWepqIVGg3O1ZZYXKxjj1aBOp4sxhiAwBEHgU1/EV0RzSUC9XgMdDHkZsBcN2GCiKCBcW2Bvt0UtMkS5ETfpJsTGX4liblD0SS4YNScsIU+0VMorq3R2tyjXSiCQdhPKUVEZbuhK5S8NbxsJUFQMYRzSCXxuUDHvNMsohdbbOgZGEejFoRRnVGRPi3OEkfPZ2flFyLrWF2VSixrxapJz/XCjKY+WiuFENWRvs8vSWtlX+keQnJg08oSp2TB5mNCN9fEGr7Lu2RV4xdcRfc1/S7q1yaOXLuGuXOOpp57ila98Je9617tIkoRf//VfnzypGZij74/k338zXsr4DlV9+BCHKE7qSXxt2z8FfDqvs7IA7IxsNxduCamcO3eOxcVFvv3bv52NjQ3e+MY38qY3velQTaqfd9c5nnfX5O+std5O89RTnL92lXBpmaRcYje1bLe77HYz9lNLI1U6GSQ2QDQFDXJxvfD0zCa2QWKxgyadYiEW4dv5d66bUCNg0ZRZkCVWw9O84EUvnHmM7e2rXN38IjvXL1KrKitrNeJYMKosLZRI2rnNQApvjgNR4jgcIFPtaSQLy1VarZT2XofFxTJpq0ktN7z2DbljzNBDIf2YuASVBZJOg7gcYztZnuvTO2RuKymKOPWtlT7A0BAvV8n2+8FwxraQKKTXW2hAwkEVi3iXvXPeQ5WjulSi+cU21ZpvHZB1MnzLpsKW5ny6kgSotf1g6cIAb4xPTHXeI9i90oa1ch4tO+C2zlVAzTOnXU4utVrI5csJVPx8O4nQWnoB8Tf+JdZe9iXs7Ozw1PnzdDodnve85/GpT32Kf/tv/y0/+IM/yCtf+Up+/Md/fOYzMPk+zNX355vwZPACvFv4bUyuuD8RA9LH/wn8/4Avyf/+IXydlQ/k291+UimVSnz91389/+Jf/AtarRbveMc7eN3rXsdXfuVX8ta3vpWXvvSlN6VbBkHAmTNnOHPmDI1Gg/Pnz7Ozs8OXnTnNxsZGz9qu6ns6P/75x/n4Z6+yUDWEixWSEFqa0taMpk1pO0dHlcwEQzVPoE8siS1MwgoquNRScpYFKbEgNdgLCZMScVzi7NmznDx5cmpCmbWWa9eucfHiRZxznDlzhvvve8Xc4dzOOXavN1DaGBKMSYEEa9t0uw2yzBKGIVtP7rEYKcZmiLieQBbHwRTpTnvcYATKCwvsb2aENkWzFKKgr4Zp31YyhMKOq46wHNPe3ieKApJuSmUg18dfx76p3ZvI82A0HS7hqEA3jCkDYgwahD0u0IH/i2peq8UXCVfEhySMJKWmjQbK8tRXSuFmDgKDGkMolsxadrtL2Bf/aZZf/5cplUpcunSJzz74IPV6nYWFBd7//vfzK7/yK3zVV30Vb3vb23jpS1/KBz/4QRYWFqYcaSbm6fvzBuAX8kX/gIgsi8gZVb10mAOp6jbwP4vI2/AFtj+mqoWUgoi8APjCvOH6t8SmMgnWWt7znvfwtre9jWazyZve9Cbe8IY3HJll3FrL5cuXuXDhAmEYUiqV2Nvbo1arsbGxwerq6oFZo5ubm1zau8r1pMmebdPUlJbr0nApe9u73H+izFJQ5WRpnXNL93Fifdyw2mq1uHDhApubm6yurnL27Fnq9Tqqyu7uLhcvXmR3d5cTJ06wsbFBtVo9kvMfhKqyvb3NhQsXaLfbnDlzhtOnTxPHPiir3dpFXAujbdS2ae5v0u7sEUrGQi2iUg4JjEXV2zG2r26yKA2qJWFCKdgZEPZ3mlSzhPZeh1pY9Ebq0YBf9Drqicld3oWLWKC1n1DqdHFOyXY6xBNKRCr0spd9J7lcQhtxNVtrSe46hW7uUi8HQyrgwNTJMmi5BdrlDdobr+DuP/ON7O/v88UvfpG9vT1Onz7NpUuX+Lmf+zkeffRRvvM7v5Nv//ZvvxESGeM3EfnLwOtU9S35398OvEZVv29gm98EfkxV/zD/+/eBf6iqf3zYCUycVN/m8jvAX1bVA/JsPJ6x4LcgCPgLf+Ev8PrXv54vfOELvP3tb+cnfuIn+KZv+ibe/OY3c9ddd92U9FKQozGGNE17xuHFxUUWFxfnSkNfX19nfX39hucAUK1WecELXsDzn/98Njc3+exnP0ur5bsxLi8vc/bsWV7ykpfcUi+AiLC2tsba2hpJknD58mUeeeQRyuUyZ8+eZW1tjUYj5OmL++zsNFhfP8fZu86OEVwxw7U1/3N3fxtalzHdawTpDmJ3Ma6J0MVIRhgKwdBiV+orddrnN33D5kAoKl/IlNYffjcfbq9B7vJWR3UhprXbhsxRGjmGK+oMWZ+93ENetpK86Zk6BecIgoD2lTbloaBfxVpHOymT1c6h97yc8iu+hvrCIhVruXLlCg899BBxHLO2tsaDDz7ID/7gD3Lvvffyvd/7vXzN13zNUd/TSYONvuDn2eZmUIwVcYjSB8+YpDIJnU6HX/mVX+Ff/+t/zdLSEm9961v5hm/4BoJggutzApxzbG1tcenSJVqtFqdOneL06dNUKt61mmVZT3qpVCqcO3eOlZWVW+7WG1Vv1tfXSdOUzc3NHrEsLi7e0jlMwvb2Np///OfZ29ujXC5zzz33sLGxcWR1P5J2k3T/AkHnKibbJsj2ENdg59p1Ko0dKsYimhGGBhNIz6ia27mH/h6ESgDW0ri4hzQTynnW+JBUMi+MV4+u7FtqdQNaYl+XyM68lMXXfCNLG31DXqvV4vz582xtbXHy5ElarRa/+Iu/yAc/+EG+7du+jbe85S2cOnXqZi8bTJZUvgr4YVV9bf73/wqgqv90YJu3Ax9Q1Xfnf38W+LrDqj9TJ5V7fUTkPwN/VlWTufa7naTSO4AqH/vYx3jb297GRz7yEb7t276Nv/E3/sZEqUFV2d/f59KlS2xvb7OyssKZM2dYXFycShaFbeX8+fPs7+9z5swZNjY2iKI5GjIf4hwOUm9Ula2tLS5cuEC322VjY4PTp0/f0tR4VWVnZ4eLFy/SaDQ4ffo0p06d6s3VOcfGxganTp2am8xvFp3mPra5w+6lp9i68AXo7lE1jtWFmFoExnUh6yC2i2iKaIri6HQzGl/YZqkcoZniu7MFvWprBAFqIgii3k/CEkQliMtoFENUxoUl2k4Iz97P2gtfSqfT4fLly1y5coVyuUy1WmVvbw+AU6dO8dBDD/HOd76TOI75ru/6Ll7/+tcf9bWaRCoh8DngG/G5OA8Bf00H2pqKyJ8Hvg/v/XkN8C9V9SuObFJ5wqGI/BHwZ1QnxANM2u9OIJVBXL9+nZ//+Z/nF37hF3jxi1/MW9/6Vr7sy76M69evs7u7y5UrV6hWq5w5c4a1tbVDv2XTNOXSpUtcvHiRer3OuXPnWFpaumHppdPpcOnSJa5cuUK9XufMmTOsrq4eOF632+XSpUtcvnyZhYUFzp49e1PzmDWvWeO32+3edktLS2xsbBzpPEbR7Xa5ePEily9fHpLams0mly5d4tq1a8/IPCbN68KFC1y8eJEwDHnHO97B008/zcWLF/mLf/Ev8t3f/d3cf//9t+rwE08yb2X6f9Pv+/O/D/b9yV3KPwW8Du9SftNh7CkisqCqE4tGi8/nyHJS+SBeAppLJLzjSKWAc47f/u3f5od/+Ie5ePEiz3/+8/npn/5p7rrrriORMFSV69evc/78eVqtVk9qmGfsSd6bU6dO3ZDEUUgSFy5coNls9rxaN9InxjnH5uYmFy5cIMuynoF2nnlNkmjOnDlzJIb0UQnt7NmzU69XYWS+dOkSjUaDU6dOcebMmVuSP1Oc8/ncHbyxscHnPvc53vGOd3D16lW++qu/mgsXLrC6uspP/dQNt9eZB7cr+O2HgN9V1QcGPhN8VO3/CPyIqnYOPe6dSioAP//zP8/58+f5xm/8Rn73d3+XX/u1X+Nrv/Zrectb3sILX/jCI3uLJUnSe3suLi724mwGUahQFy9e5Pr165w4cYIzZ85Qq9WOZA7Ql6IuXbpEtVrl7Nmzc9mAms0mFy5cYGtra8jjdDPzuHLlChcvXiSOYzY2NlhfXz+0VNjpdLh48SJXrlxheXmZc+fOHcozkmUZV65c4dKlS72Uj5MnT9606jEorS4sLLCwsMBv/dZv8Uu/9Eu86lWv4nu+53t41ate1dv+GaiMf7tI5cfxRZn+Nf1OiK8DfhD4PeB/OUwkbW/cO5lURpGmKb/xG7/B29/+drIs481vfjOvf/3rj8w2MunNtbKywtWrV7ly5cqQe/pWPmSjNqBTp06xsbExJDUUC64Q1zc2Njhx4sSRF1tuNBpcuHCB7e1t1tbW2NjYmElYhVRy/vx50jTtSYA3SwStVquXnLq4uMjGxgbLywdHZg9i0B185swZrl69ys///M/zyCOP8Lf+1t/iO77jOw4VoHmEuG0JQSLyQuA3gE/hG8JfA75LVb94w2M+m0ilgKry2c9+lp/5mZ/hfe97H294wxt405vexMbGxpGMb63l4sWLPP3003Q6HZaWlnj+85/PysrKkYx/GBQerEJqWF5eptlssre31yObZyK1/iDValAqWVlZ4ezZszca9DUTBfFfunSJ/f39nkG88PiNwubu4AsXLhDHMevr63zgAx/gZ3/2Zzlz5gzf8z3fwzd8wzfc7kS/2yWplIFXAH8B+Ba82/hNwKduRO3pjftsJJVBtFot3v3ud/OOd7yDU6dO8da3vpWv/dqvPfQbe5p6U61Wh968hT3gmfKUgFfPLl26xPnz53tzPX36NGfPnp26mG4lBo3Avn+Rl5DPnTv3jF6bgjAuXfIe1DNnznDy5EnCMBxzBydJwrve9S5+//d/n2/5lm/hb//tv83Zs2efkXnOgWecVMSHLP8jfKj/v1fVfyYi/w0+NeC3gZ9Q1Ws3NPaznVQKqCoPPvggP/3TP80nPvEJ3vjGN/LX//pfP1C6GFwgB6k3nU6HCxcucPXqVVZXVzl37tyR2lRGz2fQuFlIBlEU9RbTxYsXMcZw9uzZW6L6TENxHYprpqp0Op1balQ9CO12m4sXL3Lx4sWeNPOqV72KP/mTP+Ed73gH1lq+67u+ize84Q1HGkpwRLgdpFLGe47+x9FIWRH5p8CfU9VX39DYzxVSGcTW1hY/+7M/y7ve9S5e+cpX8ta3vpVXvOIVPaIY9N5Ya3vem3kftkIVOH/+PM45zp07NzPX5zBotVpcvHiRa9eusbKywsbGxsxAuUEj7fr6OhsbG7eE6IpAw/Pnz5Nl2ZjENmhUfaaJrnAHF6qXc44f/dEf5Y/+6I+4//77+Sf/5J/wZ//sn73l87gJ3C71J1TVLE9ejAZVHhF5vvpey4cf97lIKgWcc7zvfe/jp3/6p7l69Spf//Vfz5UrV3jjG9/IyZMnj8R70263OX/+PJubm6yvr3P27Hi4+0Eosq4vXvR1hm/Ey+Gc49q1a1y4cAFVPTJPyah0No9nqdlscvHixV7+08bGxpHbVyYZ1Z944gne+c538tRTT/HmN7+Zb/mWb+G9730vAH/1r/7VIz3+EeN2SCrr+Cpv/4OILAPfrqr/z8B3/1BV//4NjX0QqXznd36n/uZv/iYnT57kk5/8JODDvb/t276NJ598knvvvZdf+ZVfuS1GzHnxgQ98gL/7d/8uALVajde85jW8+c1v5r777jsyA12xqM+fP4+IzPWmLmw4Ozs7nDhx4shsJO12mwsXLvSknXPnzh3KxTxolLXW9rKuD0tQhXRz8eLFMRXuRjHqDl5eXuY973kP73rXu3jJS17C937v9/IVX/EVt9vwOhG/8zu/w9/7e38Pay1vectb+IEf+IHiK5/SePP1UeaGiDwf+Heq+uUi8mLgF1X1y/Pv7sv//tOHLdAEc5DKBz/4Qa3X6/zNv/k3e6TyD/7BP2B1dZUf+IEf4Md+7MfY2dm5oZoRzxQ2NzeJooilpaVewZy3v/3txHHMW97yFl772tceaaj8oEoyShZpmnL58mUuXbpEqVTqJfjdikVQLOoLFy703LuzgvQGyego4l0GURibL126dEOu+cLFXriDd3Z2+Lmf+zkefPBB/tpf+2t853d+500ng95KWGt54QtfyHvf+17OnTvHl3/5l/Pud7+bl770pdAnlW8G/g79sPufVNW566McBjmR/HNV/fMici/wNlX9pvy7+4B/rfr/tXfe8TXd7wN/fzKsqiRGQoJaFSEIqvVVLUGtNlo1qiW1UrulXvgWbWl/rdWBlgo1+kXVaqVatUIpUmJViFEEIbXSDBlkPr8/zj3HzUAkN4v7fr3uKzdnfu695zzn+TxT2imtSftlsx5B9z92TqY/Fy5c4KWXXjKEiru7Ozt37qRKlSpcuXKFNm3acPr06Vx/wMJARAgNDWX+/Pn88ccfdO/enX79+lkqQQy4M62JiIjQmqgrZdhwchs1m1vMXb4ODg5GeLyIWEQrySm6ly0iIoLY2FicnZ3v6hLO7A52dnbmjz/+4LvvvqNcuXKMGDGCDh06FIdG6Pz5559MmTKFLVu2ADBtmpYXOGHCBLgjVPI1QdAcpVQz4Ge0IlDPA0PRPEEKzc38X2A78DHg9iBjyNXj+dq1a1SpUgXACCIqbiil8PT0ZN68ecTFxbFixQpee+01atSogZ+fHy1btszzxZqSksKtW7dISUmhTJkyKKVISEggLS3NcMMWFKVKlaJWrVrUrFmTqKgowsLCiIuLQ0Rwdnambt26+ebJMkcphYODAw4ODobQPXFCqzuk24GSkpIyuIMdHR35/vvv2bRpEz4+Pixbtownnngi38dqSSIiIqhW7U4GdNWqVdm/f3/mzdwA86Czy6ZlFhcqaE3Zo4Af0EobKECfapUHdgGVTf93ApbmVFspmp2jC5jHH3+cYcOGMWTIEIKCgpg/fz4TJ06kb9++9O7d+4HKFOi2Fd2z5OrqytNPP208+fViUseOHaNEiRJUrVo13yN0zceme61EhJo1axpem/Pnz+Pm5vbAUap5wbyCX0JCAufOnePkyZPExsZiZ2eHvb09s2bNIj4+niFDhvDJJ58UqHZnSbK7F7P5nvO7Por5eP4GGpmNpStag/aZwCwRuWYqFFUfGKSU+i6n059cCRUXFxeuXLliTH+cnbNWQCuO2NjY0KpVK1q1asX169dZvHgxHTt25JlnnrlvGUzzcPaKFSve9clva2uLm5sbbm5uhp3gzJkzuLi44Obmli83jbmtpEKFCri7u2cYW40aNYiJiSEiIoLTp09TubJWlrMgbmBzd3D58uWpU6cOy5cvJyAggBs3btC/f/9iLUx0qlatyqVLd5SQy5cvZxcBfhktVN7YjTutRy2KUqo04Ajo04zLwB6gBjABLaGwMjANTdC8CPyao2PnxqYybtw4KlSoYBhqo6KimDlz5oN8pmKDeRnM+Ph4Bg4caJTB1EPor1y5gp2dHW5ubrlKvMuPYlKZXcz3q5urY25I1ivFWVqTys4dfPnyZZYsWcKpU6eMsowpKSmsX7+eAQMGFAu7yb1ITU2lbt26bN++HTc3N5o3b87KlStp0KAB3LGp5Gt9FB2llAewDU2IvK5rIEqpuWg5QG8AH6CF7x80ja+PiLyYo+PfT6i8/vrrsnPnTiIjI3FxceGjjz7ilVdeoVevXoSHh1O9enXWrl1L+fLlH+iDzZo1i0WLFqGUomHDhixdurTItocE7UYICwvD39+fdevW4ezszJNPPsmECROyJPvl5Rx5LSZlXiO3QoUKuLm55cpWktmgaok8o8zu4PLly7NlyxaWLVtGzZo1GT58eH6UZbQo93ALA3Dq1CkGDBjA4cOH+fTTTxk7dqyx7rfffmP06NGkpaUxcOBAJk2ahL+/P8OGDRtmifood8N0XFu9yJJSqgyaEfYJ4D0gUET+UUr1A2oB19BmMa8A+9CMtSFA55wExBVK8FtERAStWrXixIkTlC5dml69etGlSxf69+9v6VNZnCFDhpCYmMgTTzzBzp07jTKY7dq1s6jHxLwMwmOPPXbPYlK51UpySuaM6KpVqz5QgazM7uD4+Hj+97//5UdZxnzlPm5hAKN1TEBAAE5OThmEyj3IFylqykD2Q/PmfAtsE5FYpZQ78DoQg1b6oCRaew+A4cBPaIbaNWjV+hcqpX4E/hGRt+933kIz1KampnLr1i3s7e2NIknFAX9/f+PGNi+DOXny5HuWwXxQ7O3tqV69OtWqVSMmJoZLly5x+vTpDMWkzLWSihUrUq9evXypzq9P7dzc3Azb0dmzZ+8ZsJfZHezi4sLp06cN+8jw4cOZM2dOgSZm5pXg4GDq1KlDrVq1AOjduzc///xzBqHi7OyMs7MzGzduLKxhAqC0VqZ9gJVoiYMl0NqYxgK30bSQdUBN4Ck0g6wNUAGoCOwAenFH4I0FcuSxKBSh4ubmxtixY6levTqlS5emQ4cOdOjQoTCG8sCYawpKKZo0acLChQuJiYlh2bJldOvWLUMZzLxqC0opnJyccHJyIjk5mYiICPbt24eIGMWra9euXWA2h7Jly+Lu7p7BHWweQXz79u0M7uCKFSvyww8/sGHDBjp27Mi3335L7dq1C2SsliaHbuFCxxQt2xJoJVpPnwyIyEXTFKgj8A2wBK0O7kIgCK0e7nQRGWDKC0JEzuf0/IUiVKKjo/n55585f/48jo6O9OzZkxUrVtC3b9/CGI5FcHR05J133mHkyJHs2rWLefPmER4ezptvvkmvXr3yHANiHqXr4uJC2bJliYyM5OLFi6SkpOR7Ae3MZG7odvbsWUJDQ4mJiTHc0h9++CE3btzgrbfeYv/+/YVSpsGS5NAtXBR4HG1Kk6gvUEpVQAtuOykih9AasjdHa3naHq2Wyma0qVIImkaTKwpFqAQGBlKzZk0qVaoEwKuvvkpQUFCxFio6NjY2eHt74+3tzT///MO3335L27Ztef755xk0aBDu7u45vhDT09ONiFxdG6hTp46hlbi6uhqFpA8cOJCrko15IbM72N3dne+++461a9cSFxfHsGHDmDRpUrGa4tyLHLqFC4T7BKI1QRMMjsBVpdRTaHaSc8AR4BCQAgQCF9GC3RLQtJZBaAJmk+lYD2xTLRQ/XfXq1dm3bx+JiYmICNu3b8fDw6MwhpKvuLq6MnnyZA4fPkzbtm1577338PHxYf369aSkpNx1v4SEBP7++2/2799PfHw89evXp2nTpri4uGSZ5pQsWZKaNWvSokULKlWqxLlz5zhw4IARfGdp9MLUISEhHD16lJIlS1KiRAm+/vprXnvtNSpVqkRwcDDBwcE5buJWkGzevBl3d3fq1KnD9OnTs6z//vvvadSoEY0aNaJly5YcPXrUWNe8eXPOnDnD+fPnSU5OZtWqVXTt2rXAxq5MQPb9jdWdp9URoDaaJwe0SNk6aEbbJ5RSzmgenoNo9pXBaP2T9fopI9Bczub9lnM+zsIqfTB58mRWr16NnZ0dTZo0YdGiRRZrgVpUERH+/vtv5s+fz/bt2/Hx8WHgwIG4urqSmppqeHBsbGyoWrVqrmJeIH+KSWV2B1esWJHAwECjLOOIESPw9vYuqtMBIGfem6CgIDw8PHBycjK6OZjbTe7mFgYYOnQoV69e5amnnuLmzZvY2NhQtmxZTpw4cb+o7Af+0pRSDmgenEAROZvN+rlANLBSRE6alvUA2qIFtLkDZ0TkYqb9jLHkNII2y7mLez2VmJgY/Pz8OH78OEoplixZwn/+85/CHtZ90ctgzp0716jWvnTpUqpVq2Yx24MliklldgcnJSXxv//9j8DAQLp3785bb71VlMoy3pP7JPVlITo6Gk9PTyIiIvJ7aPcVKkprLpYODEGbvhw2/X1ZRC7o0yF1p6tgbbR6sx2B9WgRsTeBRSLyo9lxzS8GG1PRprZAeHbCKicU+9yfUaNG0alTJ9atW0dycrLRt7ioU6ZMGaP9RevWrQkNDWXgwIE5LoOZE2xsbAwXpx6qf/78+fsWk8rsDtYLIM2cOZPU1FSGDh3KzJkzi2JZxnvyoN6bxYsX07lz54IY2j1RStUHzplu+A+Ak0APtAC2HsDnmLrH6tMVU5Da+0qpn9EidD8Uke2ZjqvMpzdKKV2BqAr8m9vxFmuhcvPmTSMVHqBEiRLFKkekb9+++Pr6Gv/rZTBfeuklvLy88PPzw8vLyyJTitKlSxsxFjdu3ODkyZNZikllLhbt4uLC6tWr+emnn2jTpg2zZ8+mXr16eR5LYfEg3pvff/+dxYsXs2fPnvweVk74PyDUNKWZDHQApqPFmbwA2ds+TELjAJqLWF9mKyLZGtv06Y6ILMvLYIu1UAkLC6NSpUoMGDCAo0eP0qxZM+bMmVMgKfyWIPMFXaFCBcaOHcuYMWMIDAzks88+4/r16/Tv35/u3btbZFpkY2ODi4sLLi4uJCQkcPnyZf7++2+UUqSmpuLh4cG1a9f4v//7P8LDw/Hz8yMoKKjYfKf3Iqfem5CQEPz8/Ni0aRMVKlTI1zGlpaXd1TtmVnVtIpr95C00N/F0tHonfYBzSil7EUkx7aPQpjFp5jYR/VjmAuVuNhOlVCfgaK7ruIjI/V5FlgMHDoitra3s27dPRETeeecdef/99wt5VJYlPDxcJk2aJA0aNJBRo0ZJSEiIxMfHS0JCQp5eUVFREhISIoGBgXLo0CE5ePCgNGvWTFxdXcXb21v27t0r6enphf3xLUpKSorUrFlTwsLCJCkpSRo1aiTHjx/PsM3Fixeldu3asnfv3nwbRzbfK2hlCGxM75Vkug8BL2AxcBx4Fs27cwCtRw9onlybTPt0AVwzH8u0rjaat6chUBctO7m6aV0I8PzdxnK/V7E21F69epUWLVpw4cIFAHbv3s306dMLPUQ6P8hcBnPQoEF06tTpgQLexJQdfOnSJaOn8b///suSJUsIDg6mT58+tGzZkjVr1vD000/Tp0+ffPxEhcP9vDd+fn78+OOPRhEoOzs7Dh7Mc04foBnOMxvJ58yZw+jRo4PRgtBuAe+KSHR2+5tqnqwDVojIQKVUC6CeiHxntk0VYCDQFc3mMk2yacKulPoVLWw/Ci2E38b0SkSz0zQVkb8epIykQQ4kT664fv26pKWl5Xb3HNOqVSs5deqUiIhMnjxZxo4dm+/nLEzS09Pl2LFjMnz4cPH09JTJkydLWFjYPbWSmJgYOXnypGzfvl2Cg4PlwoULsnTpUnnuuefEx8dHNm/eXCC/VV7ZtGmT1K1bV2rXri3Tpk3Lsj4gIEAaNmwojRs3lmbNmsnu3bsLYZQZyU7b279/v0ycOFH++ecfmTZtmgCuQGk0F/BEucf9iJb4NwqtpYb5cju0eJMjaHk9Je5znBNonqRqwJNAPTStxdUk4Orfa/97HjsHGz0wCQkJMn/+fHF0dJQPPvhAEhMTc3OYHHHkyBFp1qyZNGzYUF5++WWJiorKt3MVNW7evCnz58+X5s2bS8+ePWXLli0SFxdnCJMrV65IcHCwbN++XU6ePCkhISEybtw48fT0lAkTJsiFCxcK+yPkmNTUVKlVq5acO3fOmLqEhoZm2CYuLs64iY8ePSru7u6FMVQREUlLS8siUEJCQmTq1KnSrVs32bhxoyxZskTat28vwCq0qcwngJNkLwT0qZFtpuXK7P3j2e17l+O9C7xwl3U/AFVzeqws++dgoxx/ifrTLiUlRaKjo2XMmDHi6+srly9fzulhCpXU1FTx8vKSF198sbCH8kCkpaXJ7t275Y033pAmTZrIm2++Kd27d5egoCC5ePGirF+/Xl588UVp3bq1rFy5UpKSkgp7yA9MUFCQdOjQwfh/6tSpMnXq1HtuX69evYIYmkF2WklISIhhnzl27Ji0bdtWBg8eLCKaNv/YY48J0FXu3NClABfTe2V6ZRYkNuTC1mG2v8ruePort8fVX3n2/kRERFCuXDkj30REjF62JUuWpFWrVsUmOGrOnDl4eHhw8+bNwh7KA6GXwQwLC+PIkSNcvXqVqKgoxo8fT2xsLM8++yzTpk2jYcOGhT3UXJPTGJP169czYcIErl+/XmC2Nb2Iubm95Nq1a7zzzjucOXMGT09PZsyYwc8//0y7du1ITEwkKiqKSpUq0bJlS7Zt29ZcKXUSLaz+HeBHtMxhPY4kDYwWHgdFJE+V5kVElFId0CJqz0smd7QpIK4EkCYmr9KDkOfEjL179/Lcc8/Rv3//DIFnf/75J4mJiXh5eQHZxwikpKTw119/5XUIFuHy5cts3LgRPz+/wh5KrunUqRMhISFs2bKFffv20aNHD/bs2cP8+fOLtUCBnMeYdOvWjVOnThEQEMAHH3xQEEPDxsYGGxsbwsPDjZipsLAwSpYsyeHDh1m2bBkRERGsX7+eVq1aERsby7FjxwDtQYZmLPVHqwu7TESWgBZ7opSqrZT6VCl1GM1LY6knXjdgoFKqu1LqaaWUh1KqlqnnTydgAVrB6wfOBs2zpqJXbQsMDKRkyZIopYiPjyckJIQqVaoYF7N+Aeh++a1bt7J582a2bNlCuXLlmDFjBs8//3xeh5NrRo8ezcyZM4mLy2IoLzaYFyC3tbVl1KhRhTgay/KgGcLPP/88586dMwpY5SeJiYkMHTqU48eP07p1a0Drilm5cmVjm3fffRd/f382bdrEL7/8wqFDh2jdujUeHh6IyCyl1HIRidS3V0o9jqa1dEIr5zhZTOUgLYGIDDPFo7wJNEDLWi6FpqHsAGaKSGhujp1nTSU9PZ2yZcvyyiuvGOpfeHg40dHR1KtXL0vAlh7o8+6779K4cWNCQ0Pp1KkTwcHBQPZPpPxGb+varFmumtxbKQBykiF89uxZ4/o5fPgwycnJFglei4iIuOeUeO/evdjb23P48GFmzZoFQIsWLQgKCiIhIQGA9u3bExUVRXp6OrVq1SI9PZ3Y2DslS0Qk0pSErGsGCcDXIvKciGyzpEABI9p2s4i8ISKNgeYi4ikidUVkaG4FClhAqJjPI69evYqvry+zZ8/GxcWFl19+Odt9NmzYQKlSpejXrx8iQpMmTYiIiCAxMTGDSpsfqfvZsXfvXjZs2ECNGjXo3bs3O3bseChquxQl7ldyQOfAgQPY2tqybt26DMvt7OyYO3cuHTt2xMPDg169etGgQQP8/f2NOJMff/wRT09PvLy8GDFiBKtXr85TioPeJG/27Nn8+2/WVBhdgP3zzz9cuaIFnyYlJZGeno63t7dRKH7z5s2MHTuWl19+GTs7O/r168fYsWNxcHDIfDwRU8SraNGv+Wbck0xP78z/5/XgFnMpp6SkyJQpU6Rhw4bi4OAgixYtyrA+NTVVRER8fHzkq6++MpYvWLBA+vbtm+V4Bw8elCZNmsiYMWMKzP35+++/FzvvT1EnJ+5gfTtvb2/p3LmzrF27thBGeoeZM2fKmDFjJDIyUkRE/vrrL4mPj892223btsnQoUMlLCwsw/KrV6/KggULpGPHjvLpp5/KzZs3M6w38xblydtS1F4WraBjZ2fH5MmTCQkJYeXKlUYhomPHjnH+/HlsbW2JiYlh3759DBkyBNAKYK9evdrQalJTNS3v9u3bHDp0yOj5++qrr9KtW7cM82orxQPzgtElSpQwCkZn5uuvv6Z79+6F0pxOREhLSzO0j5YtWxIdHU1YWBgxMTG89tprhISEZLtvvXr1KFWqFOPHj+fixYuMHz/e6Ms9ePBgNm/ezMSJE7NU5CvKtWfygkWFiogYQqFLly4MHToU0ITK7t27AThz5gzt27c3sok3b95MUlISPXr0ADDCzq9fv86OHTuYOHEikydP5uDBg/j5+WFnZ8fu3buZO3euJYdu0KZNG379NUeN2LLl0qVLeHt74+HhQYMGDXTr/iNNdu7gzDVKdO+Ifs0UNEopbG1tjRv92WefpVSpUuzbtw9HR0d8fHzYtm0bycnJWfatWrUqH3zwAY0bN8bX1xelFB9//DFwx91sLrAediyapayUMoSCiBg/0BtvvGFs89RTT5GYmMjYsWNxcXHh1KlTjBw5EtC0FDs7O9LT0zl8+DCbNm3i1q1bDB8+nI4dO/Lii1qDtG3btrF3715jv4SEhCKTRWtnZ8cXX3xB06ZNiYuLo1mzZrzwwgsZqos9amR3M2V+So8ePZoZM2YUSD1bESE9PT3DuSIjI5kzZw4HDhygd+/e9OzZEx8fH9atW8eVK1d4/fXXee+994iIiKBmzZpZjlm+fHnef/993n///QzLdZvjw1KnNyfkWwFR84vG/KJSSvHFF1+QnJxMaGgo48ePp2fPntpgTD9AdHQ0u3fvZtKkSQwdOpRp06bRrVs3w93r4+NDeHg4SUlJhISE4OPjw5dffplfH+WBqFKlCk2bNgW0xu8eHh4FUTmsSJMTd/DBgwfp3bs3NWrUYN26dQwfPpyAgACLj0V/2Ok3ue6d+fzzz7lx4wajR4/m4MGDRvGvpKQk9u7dS9OmTXFycmL37t2G9gGaJpLZofAoaSXZkgPDS76TObx5//798sorr2QwfF25csV4f+3aNXnhhRfE399fGjVqJIsXL85iBCsKnD9/XqpVqyaxsbGFPZRCJSclB8zp16+fxQy1Fy5ckNGjR8tPP/1kXGe3bt2S6dOny0svvSRr166VqKgoady4sWGIjY2NlaZNm8rZs2dl4cKFMn78eElOTpYlS5ZIly5dJDo6OksCZkxMjJw5cya3wyx046olX4VS6jw9PT2DtDfXam7fvk1AQADJyckZ1MzKlSsb+9y4cYPTp0+zbds2ZsyYwcCBAwusLUVOiY+Pp3v37syePft+RY+LPPdzB+vtX728vPDy8jLsCTo5cQdbmj179tCpUyd8fX1JTU3lP//5j3GdffLJJ5w4cYLJkyfTtWtXnJycsLe3Z9euXYCmYT7zzDMEBQXh7e1NSEgI+/fvp2/fvkyfPh1HR0dDqw4ODmbIkCG0aNHCcCs/8uRA8hQ4y5YtEw8PD3nllVdkwYIFhis6JSVFAgMDpXnz5uLp6Sk//PCDsc/9CgrpxygIkpOTpUOHDvLFF18U2Dnzi5y4g4uaGz4qKkqGDRsm7du3z7A8JSVFEhISxNvbW0JCQoxlIiJz586VNm3aiIj2+/Xu3VuOHTsmIiKbN2/Okml//Phxeeqpp6RPnz5y5MiRvBa0KnTtwpKvIllO0tfXF19fXwIDA5k3bx7p6em0adOGqVOnIiJMnz6d8PBwtm/fTu/evYGshj8xzZ1v3bpF6dKlC8xQJiIMGjQIDw8PxowZUyDnzE9y0j+4qOHk5ET79u0pV64c169f59ixY3z88ccMGDCA9u3bU69ePW7fvg3cMaCOGDGCX3/9lX79+nH06FG8vLyMRNiOHTtmOUfdunXZunWrRQqUP2wUrU5PJnS3dPv27Vm/fj39+vUjIiKCxx57jK+++oq2bdtSpkwZypYtC5BhKqWTlpbGoUOHGDlyJJ07d2bFihXGusjISKZMmcLnn3+eIVTaEuzdu5fly5ezY8cOYzrw22+/WfQcBUlO3MGgJZA2btyYzp07Exqa6wjvHJOSkmKkdmRHgwYNiIyMpFGjRsydO5cBAwbQv39/nJ2dsbW1Zdu2baSmpqKUYuvWrURERLBp0yYGDhzImjVr+O677+4pMOzt7a0C5W7kQJ0pNO41ZQkNDZX69etn2UY3oG3YsEHefPNNmTFjhuzZs0defPFFOXjwoIhoxruffvpJBgwYIHXr1pWtW7fm34co5qxZs0YGDRpk/L9s2TIZOXJkhm1iY2MlLi5OREQ2btwoderUybfxnD17Vt5++21xd3eXt99+Wy5dupTtdsnJyeLv7y+9e/c2lpkXcOrXr5/06NFDvLy85NVXXzWmQ+bbFmA1vEKfsljyVSQ1FR3zKYu5NiIiVK5cmVGjRhETE5NhH92AFhgYSLt27RgyZAjPPvsspUuX5vfffwfgiSeeoFu3bixZsoTPP//cSFcvquQ0byY/yIk7uFy5cobW2KVLF1JSUoiMjMSS6NHZereEoKAgvvrqq7tmINvb29OwYUMqVKjAtm3bAG2KfOrUKVxdXfH392fgwIF8++23/PjjjxlKQ4hp6lzUWrYWF4qkTSU7zH9gpRTly5dn8ODBgCZwlFKGXSUmJob09HTs7OxwcHDg5s2bODk5ZbADpKSkYG9vz+7du41M6uwKExc2aWlpjBgxIkOrzq5duxaYTcM8O9jNzY1Vq1axcuXKDNtcvXoVFxcXlFIEBweTnp5ukezgS5cuMW/ePM6fP8+UKVOMVqRnzpwBtN/Z0dHR2F4XBjru7u7UqFGDnTt3EhkZydKlS4mJiWHJkiV4enpmaBRm/ts/rOHzBUWxESqZSUtLIzIyMkPT8vT0dEQER0dH7O3tiYqKAmDFihWICJUqVTL2V0qxZs0a1q5dy08//QRQ5AQKFL6h1NwdrFeg193BoFWgX7duHfPnz8fOzo7SpUuzatWqPN+YAQEBTJo0iY4dOzJx4kTKly+Pi4sLZcuWxc/Pj+joaCNHyNPTkxEjRmQ5RoUKFahduzbvvfceJ06cYMKECXh7e2fYxqqVWJ5i26IjLS2NL7/8klWrVjFkyBD69euXocH7jh07+O9//8tjjz2GiDBhwgQ6depEWloas2bNYteuXZQqVYp3332Xli1b3ldLEcka2l0QrFu3js2bN7No0SIAli9fzv79+/Mt96mwyPz99+3bl759+9KpU6cM60+ePMnatWtJT0/HycmJf//9l/nz5xMUFMSTTz5pCAn9b2xsrPGg0blXA69C4qFSjYqtpmJra8u4ceMYPHgw33//Pa1bt6ZBgwbMnj2bxx9/nLZt23LgwAH27dtHrVq1cHZ2NuqX9ujRg1mzZlG9enUjsdH8gjZXo69evUpcXBxPPvlkoVyI2Qn9h009HzlyJAkJCXz00UdUr14dAAcHB3755RcqVqzI0aNHqVKlCrVq1cLDw4MPP/wQuJMrFhwcTEBAAOPGjTMEiv4A0GuW6Fqsra1tURMoDx3FXudzcHBg+PDhBAUFMXToUCOyVs/HaNGiBc7OzqSmpnLt2jUiIyM5ffo0ly5dumvfZf2mnTZtGgsXLmTAgAG89NJLHD58uGA+lBkPWkaxuGCeL5OUlMSuXbuYMGGCsWzUqFEcPXoUX19f/vzzTyZOnMiQIUOM4k3x8fHY2dmxc+dOSpUqRYcOHYA79jVdcPz++++cOnUKGxsbqzApKHLgInroWL16tbRo0UI+++yzu7qtDx48KE5OTkZU7NKlS42iUwXZDvRB82aKOkuXLpX69evLkSNHREQkMTFRBg8eLFu3bpVnnnlGFixYYOR5RUZGSnJysly5csXocdS1a1cRERkzZow0b95cvL29ZeHChRnOcf36dZkxY4Y8/fTT8t5770l0dHRBfsTcUOhuYEu+iu30Jzfo6nKvXr3o1asXCQkJWaYS+tx906ZNtGnThtOnT9OsWTNcXV1RStG/f/8CfeLdzVBanNBtGGlpaZw+fZpbt25x/Phx6tatS5kyZYiIiOD69ets2LCBb775hhkzZjBr1izDg6QXkI6KiqJdu3YAPPfcc/Ts2ZMWLVoY50lJSWH58uV88803jBs3zrCbWSlYcmKofehQStlLpn4mSilbMdUHNf2/A/hCRDYqpdyAnsBNMbVPsHJ39P67SqmngN+AT4GlInJTKTUDaIvWE/gXETmhlBqGVsXdH/gCGG7aJgSoDLRHqyrvAIwWkQOZzmf8dkopRxGJKYjPaSV7ir1NJTfoAkUp5auUetq0TL8odTXkS+B1pZSniESIyGyrQLk/SqlqcudJJcBpoB9a316A3cDfaP17a5mWuQDDgFNowuVDoA8wEqgIeAPfiMiz5gJFmdRM84eBVaAUPo/U9CcbDgPvK6WcgRXAcrnTCmE74AV8r5Q6BcwRkaDCGWbRRilljyYUBgPXlFJH0b7LQ0qpH4FGQBul1AG0hlhLgNbA00qpjUAkECkircyO2Q5oDuwRkT/MlhtaiTyKanYx4JHUVHREJFREXgd6oD0Rtyil6pnW3RKRT0TriTId7YlrJXt6AW0AX6ArcANYo5SqAIQCMcBOoB4wAk1DWWH66wWcwdR5T+99IyLbRWS6mFpy6hqkuVZipWjySAsVHRGJFpHPgBeA86D1kzW7kI+ISNbGL48oSilXpdQG03sbYDwwQ0SOALdFZBpwFBgHHACSgNto9pV0wE1E/gZSgZZo2ssypVRJkzdEn4qq7KY4Voo2VqFihmgNnJLM3lsvZBNKqWpKKRcAEfkH8FZKvWDSJE4DeuVx/ZqaBvQ12ThCAU/gKvAqsMy0TQDaFHSeiKzSv3sdw99qpVhhFSpW7olSqotSag0QCHytlBpoWvUlWq9fgGg0Lw0ikqKUshORQ8C/SqnGQDDatdZLRI6JSJhp2wAR+VO0RuSGVmKleGMVKlbuilLqv8APwEoRcTe9H21aPRPN+FoWOAs0VkpVBxCRVKWUOxCBpp1cQ5sGXcvmHPr0xqqVPCRYhYqVLJjsJACbgHARCTD97w4sV0o9JiIJwC5gFLAUKAtMVUrZK6UqonmDTojINRGJFZGFIrIt87msguTh45EMfrNyB6VUCaAdsEtEEs2W6wFsvwOxQDnAFW0qU1ZEXjXF+ASIiKtSqgyw3LR7PbR4lCkictXsWMoqRB5+rELlEUYp1RP4BAhHExyfi8g+0zo70zTGBy3StZ2InDLFpOwG3heRQKXUWeBTEVlq2q82EGYVHo8u1unPI4iZQfR54BMReQE4BPzXpLmgBwGKyC9AAlqkqx6NfAnNFQwwG3hCP7aInDNpJbZm0ygrjxDWH/0RxHTTOwApQJxp8RfA42iRroCmrZjergcGmpb5ogUKBpqONVdEpmRzjjQ9cM3Ko4VVqDzEKKU6KaW6md5nSK0WkVjACSiplCohIsnAHrQAQB1dKMwDRpjC7zsD08xTFqzuYCvmWG0qDyEmLWQB0ApIBuqYaw1KKRtTbMgwtLycj0XkilLKE1gjIvWz2bYbsN8U+GbFyl2xaioPISYtZDVQHzgIvAkZtBX9SbIObSrznGm/40CEUqqG2bHSTX/Xi8g/pvQF63Vj5a5YNZWHFL1mjFLqTeBNEWmfab2tiKSZvDt9gHNoyX3hIjLsLse0uoSt3BerUHnIUUqVB7YAw0XkgD6dybSNOzAALQJ2vln5BytWHhirUHkEUEpNBSqIyBCzZT5owWyLMwsRq0ZiJS9YhcojgElb2QksQis34A/UBiJEJNEs4jWLFmPFyoNiNbg95JgEyiTAA63O7glTWYczeli+rpVYBYoVS/Col5N8FKgNxAN1ReR8YQ/GysOPdfrzCGFyBStr8Skr+YlVU3lEMNlNrNMbK/mOVVOxYsWKRbEaaq1YsWJRrELFihUrFsUqVKxYsWJRrELFihUrFsUqVKxYsWJR/h+fBIJFGdFODAAAAABJRU5ErkJggg==", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "_,_,plot1 = sd.plot_flux_space(model,('-EX_o2_e','BIOMASS_Ecoli_core_w_GAM',('EX_etoh_e','-EX_glc__D_e')),\n", " constraints='-EX_o2_e <= 10',points=10,show=False);\n", "plot1._axes.view_init(20, 135)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The plot now shows that at low or no oxygen uptake, a minimum ethanol yield is guaranteed at maximum growth rates, while at higher growh rates this is not the case. The critical point seems to be reached at an oxygen uptake rate of about $7\\,mmol_{0_2}g_{CDW}^{-1}h^{-1}$." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Interactive and animated 3D plots" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You may set a custom rendering option, to generate an interactive that can be rotated or a plot in a separate window. This can be done either through the IPython magic command, e.g., `%matplotlib tk`:" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "%matplotlib tk\n", "sd.plot_flux_space(model,('-EX_o2_e','BIOMASS_Ecoli_core_w_GAM',('EX_etoh_e','-EX_glc__D_e')),\n", " constraints='-EX_o2_e <= 10',points=10);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "or by passing the parameter `plt_backend`:" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "sd.plot_flux_space(model,('-EX_o2_e','BIOMASS_Ecoli_core_w_GAM',('EX_etoh_e','-EX_glc__D_e')),\n", " constraints='-EX_o2_e <= 10',points=10,\n", " plt_backend='TkAgg');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You may also animate 3D figures and save these animations to GIFs or movie files. Please note, that the ffmpeg codec needs to be installed and available. For that matter, refer to the matplotlib reference." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import matplotlib.animation as animation\n", "from IPython import display\n", "\n", "r1 = ('-EX_o2_e')\n", "r2 = ('BIOMASS_Ecoli_core_w_GAM')\n", "y3 = ('EX_etoh_e', '-EX_glc__D_e')\n", "constraints = ['NADTRHD = 0',\n", " 'NADH16 = 0',\n", " 'LDH_D = 0',\n", " 'PPC = 0']\n", "_,_,plot2 = sd.plot_flux_space(model, (r1, r2, y3),\n", " constraints=constraints,\n", " points=10,\n", " show=False)\n", "# specify animation\n", "def animate(angle):\n", " plot2._axes.view_init(20, angle)\n", " return plot2\n", "\n", "# generate animation\n", "ani = animation.FuncAnimation(\n", " plot2.figure, animate, save_count=360)\n", "\n", "# Save the animation in gif\n", "writer = animation.FFMpegWriter(\n", " fps=25, bitrate=1000)\n", "ani.save(\"movie.gif\", writer=writer)\n", "\n", "# Alternatively, display animation in Jupyter notebook\n", "video = ani.to_html5_video()\n", "html = display.HTML(video)\n", "display.display(html)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "\n", "**Plot generation:**\n", "\n", "For all plots, the term from the primary axis is minimized and maximized. The `points` parameter is used to generate a grid that is used in the maximizations and minimizations in the direction of the secondary axis. In case of a 3D plot, another grid is then generated on the first two axes and maximizations and minimizations are performed in the direction of the tertiary axis.\n", "\n", "In 2D, the resulting polygon is then filled. In 3D, Delaunay triangles are generated to plot the surface of the shape.\n", "\n", "
" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3.9.7 ('cnapy-dev')", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.9.7" }, "vscode": { "interpreter": { "hash": "50a36e699ca3834a05ca1bd86fc5b7db4829f1cbbb3e27f51544575d88525899" } } }, "nbformat": 4, "nbformat_minor": 4 }