{ "cells": [ { "cell_type": "markdown", "id": "49bcb5b0-f19d-4b96-a5f1-e0ae30f66d8f", "metadata": {}, "source": [ "## A cycle of reactions `A <-> B <-> C <-> A`\n", "#### the \"closing\" of the above cycle (the \"return\" parth from `C` to `A`) is coupled with an \"energy donor\" reaction:\n", "#### `C + E_High <-> A + E_Low`\n", "#### where `E_High` and `E_Low` are, respectively, the high- and low- energy molecules that drive the cycle (for example, think of ATP/ADP). \n", "Comparisons are made between results obtained with 3 different time resolutions.\n", "\n", "All 1st-order kinetics. \n", "\n", "LAST REVISED: Feb. 5, 2023" ] }, { "cell_type": "code", "execution_count": 1, "id": "d9efa3fd-e95d-4e1c-878a-81ae932b2709", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Added 'D:\\Docs\\- MY CODE\\BioSimulations\\life123-Win7' to sys.path\n" ] } ], "source": [ "# Extend the sys.path variable, to contain the project's root directory\n", "import set_path\n", "set_path.add_ancestor_dir_to_syspath(2) # The number of levels to go up \n", " # to reach the project's home, from the folder containing this notebook" ] }, { "cell_type": "code", "execution_count": 2, "id": "01bae555-3dcf-42c1-bddc-9477a37f49f8", "metadata": { "tags": [] }, "outputs": [], "source": [ "from experiments.get_notebook_info import get_notebook_basename\n", "\n", "from src.modules.reactions.reaction_data import ReactionData as chem\n", "from src.modules.reactions.reaction_dynamics import ReactionDynamics\n", "from src.modules.numerical.numerical import Numerical as num\n", "\n", "import numpy as np\n", "import plotly.express as px\n", "from src.modules.visualization.graphic_log import GraphicLog" ] }, { "cell_type": "code", "execution_count": 3, "id": "cc53849f-351d-49e0-bfa8-22f8d8e22f8e", "metadata": { "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "-> Output will be LOGGED into the file 'cycles_1.log.htm'\n" ] } ], "source": [ "# Initialize the HTML logging\n", "log_file = get_notebook_basename() + \".log.htm\" # Use the notebook base filename for the log file\n", "\n", "# Set up the use of some specified graphic (Vue) components\n", "GraphicLog.config(filename=log_file,\n", " components=[\"vue_cytoscape_1\"],\n", " extra_js=\"https://cdnjs.cloudflare.com/ajax/libs/cytoscape/3.21.2/cytoscape.umd.js\")" ] }, { "cell_type": "markdown", "id": "d6d3ca49-589d-49b7-8424-37c7b01bcacf", "metadata": {}, "source": [ "### Initialize the system" ] }, { "cell_type": "code", "execution_count": 4, "id": "23c15e66-52e4-495b-aa3d-ecddd8d16942", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Number of reactions: 3 (at temp. 25 C)\n", "0: A <-> B (kF = 9 / kR = 3 / Delta_G = -2,723.41 / K = 3) | 1st order in all reactants & products\n", "1: B <-> C (kF = 8 / kR = 4 / Delta_G = -1,718.28 / K = 2) | 1st order in all reactants & products\n", "2: C + E_high <-> A + E_low (kF = 1 / kR = 0.2 / Delta_G = -3,989.73 / K = 5) | 1st order in all reactants & products\n", "[GRAPHIC ELEMENT SENT TO LOG FILE `cycles_1.log.htm`]\n" ] } ], "source": [ "# Initialize the system\n", "chem_data = chem(names=[\"A\", \"B\", \"C\", \"E_high\", \"E_low\"])\n", "\n", "# Reaction A <-> B, mostly in forward direction (favored energetically)\n", "# Note: all reactions in this experiment have 1st-order kinetics for all species\n", "chem_data.add_reaction(reactants=\"A\", products=\"B\",\n", " forward_rate=9., reverse_rate=3.)\n", "\n", "# Reaction B <-> C, also favored energetically\n", "chem_data.add_reaction(reactants=\"B\", products=\"C\",\n", " forward_rate=8., reverse_rate=4.)\n", "\n", "# Reaction C + E_High <-> A + E_Low, also favored energetically, but kinetically slow\n", "# Note that, thanks to the energy donation from E, we can go \"upstream\" from C, to the higher-energy level of \"A\"\n", "chem_data.add_reaction(reactants=[\"C\" , \"E_high\"], products=[\"A\", \"E_low\"],\n", " forward_rate=1., reverse_rate=0.2)\n", "\n", "chem_data.describe_reactions()\n", "\n", "# Send the plot of the reaction network to the HTML log file\n", "graph_data = chem_data.prepare_graph_network()\n", "GraphicLog.export_plot(graph_data, \"vue_cytoscape_1\")" ] }, { "cell_type": "markdown", "id": "d1d0eabb-b5b1-4e15-846d-5e483a5a24a7", "metadata": {}, "source": [ "### Set the initial concentrations of all the chemicals" ] }, { "cell_type": "code", "execution_count": 5, "id": "e4ff6a84-f5d5-4645-9c56-d9e981c108df", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "{'A': 100.0, 'B': 0.0, 'C': 0.0, 'E_high': 1000.0, 'E_low': 0.0}" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "initial_conc = {\"A\": 100., \"B\": 0., \"C\": 0., \"E_high\": 1000., \"E_low\": 0.} # Note the abundant energy source \"E_high\"\n", "initial_conc" ] }, { "cell_type": "markdown", "id": "0b46b395-3f68-4dbd-b0c5-d67a0e623726", "metadata": { "tags": [] }, "source": [ "### We'll split each simulation in three segments (apparent from the graphs of the runs, further down): \n", "Time [0-0.03] fast changes \n", "Time [0.03-5.] medium changes \n", "Time [5.-8.] slow changes, as we approach equilibrium \n", "\n", "### and we'll do MULTIPLE RUNS, at varying time resolutions." ] }, { "cell_type": "markdown", "id": "e9403630-eb9f-49d7-8888-d973028ab4f4", "metadata": {}, "source": [ "# Run # 1 : FIXED time resolution, with COARSE time steps \n", "(trial and error, not shown, reveals that increasing any of the time steps below, leads to \"excessive time step\" errors)" ] }, { "cell_type": "code", "execution_count": 6, "id": "e80645d6-eb5b-4c78-8b46-ae126d2cb2cf", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "SYSTEM STATE at Time t = 0:\n", "5 species:\n", " Species 0 (A). Conc: 100.0\n", " Species 1 (B). Conc: 0.0\n", " Species 2 (C). Conc: 0.0\n", " Species 3 (E_high). Conc: 1000.0\n", " Species 4 (E_low). Conc: 0.0\n" ] } ], "source": [ "dynamics = ReactionDynamics(reaction_data=chem_data)\n", "dynamics.set_conc(conc=initial_conc, snapshot=True)\n", "dynamics.describe_state()" ] }, { "cell_type": "code", "execution_count": 7, "id": "b31872ae-5571-4602-a552-10767b20c7af", "metadata": {}, "outputs": [], "source": [ "dynamics.set_diagnostics() # To save diagnostic information about the call to single_compartment_react()" ] }, { "cell_type": "code", "execution_count": 8, "id": "50ddd8e3-58c6-41f8-b874-ddc9a1d64d30", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "38 total step(s) taken\n" ] } ], "source": [ "dynamics.single_compartment_react(time_step=0.0008, stop_time=0.03)\n", "#dynamics.get_history()" ] }, { "cell_type": "code", "execution_count": 9, "id": "fbf24a85-b152-4b24-b350-00bed12e7bb9", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "4970 total step(s) taken\n" ] } ], "source": [ "dynamics.single_compartment_react(time_step=0.001, stop_time=5.)\n", "#dynamics.get_history()" ] }, { "cell_type": "code", "execution_count": 10, "id": "938b9678-900a-4d6b-8cac-68d62545b09e", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "600 total step(s) taken\n" ] } ], "source": [ "dynamics.single_compartment_react(time_step=0.005, stop_time=8.)" ] }, { "cell_type": "code", "execution_count": 11, "id": "4933f334-e4f5-45e7-be91-3b11e667f244", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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SYSTEM TIMEABCE_highE_lowcaption
00.0000100.0000000.0000000.0000001000.0000000.000000Initial state
10.000899.2800000.7200000.0000001000.0000000.000000
20.001698.5669121.4284800.0046081000.0000000.000000
30.002497.8643452.1256060.010049999.9963140.003686
40.003297.1728052.8115560.015639999.9883320.011668
........................
56047.980410.01854530.00691759.97453732.331113967.668887
56057.985410.01839830.00686259.97474032.330530967.669470
56067.990410.01825130.00680859.97494232.329952967.670048
56077.995410.01810530.00675359.97514232.329378967.670622
56088.000410.01796130.00669959.97534032.328809967.671191
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5609 rows × 7 columns

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" ], "text/plain": [ " SYSTEM TIME A B C E_high E_low \\\n", "0 0.0000 100.000000 0.000000 0.000000 1000.000000 0.000000 \n", "1 0.0008 99.280000 0.720000 0.000000 1000.000000 0.000000 \n", "2 0.0016 98.566912 1.428480 0.004608 1000.000000 0.000000 \n", "3 0.0024 97.864345 2.125606 0.010049 999.996314 0.003686 \n", "4 0.0032 97.172805 2.811556 0.015639 999.988332 0.011668 \n", "... ... ... ... ... ... ... \n", "5604 7.9804 10.018545 30.006917 59.974537 32.331113 967.668887 \n", "5605 7.9854 10.018398 30.006862 59.974740 32.330530 967.669470 \n", "5606 7.9904 10.018251 30.006808 59.974942 32.329952 967.670048 \n", "5607 7.9954 10.018105 30.006753 59.975142 32.329378 967.670622 \n", "5608 8.0004 10.017961 30.006699 59.975340 32.328809 967.671191 \n", "\n", " caption \n", "0 Initial state \n", "1 \n", "2 \n", "3 \n", "4 \n", "... ... \n", "5604 \n", "5605 \n", "5606 \n", "5607 \n", "5608 \n", "\n", "[5609 rows x 7 columns]" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df = dynamics.get_history()\n", "df" ] }, { "cell_type": "markdown", "id": "9b067211-71f9-4441-99fd-a6bee211173c", "metadata": {}, "source": [ "### Notice we created 5,609 data points" ] }, { "cell_type": "code", "execution_count": 12, "id": "c8fa980d-361a-45ea-8102-f1c83cc1511f", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "From time 0 to 0.0304, in 38 FULL steps of 0.0008\n", "From time 0.0304 to 5, in 4970 FULL steps of 0.001\n", "From time 5 to 8, in 600 FULL steps of 0.005\n" ] } ], "source": [ "dynamics.explain_time_advance()" ] }, { "cell_type": "markdown", "id": "cbf6c9c7-8cec-400f-9e70-49ff1a9f485c", "metadata": { "tags": [] }, "source": [ "## Plots of changes of concentration with time" ] }, { "cell_type": "code", "execution_count": 13, "id": "952b0e87-1e35-415b-8cd2-73ddb4953d9f", "metadata": {}, "outputs": [ { "data": { "text/html": [ " \n", " " ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "hovertemplate": "Chemical=E_high
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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "dynamics.plot_curves(chemicals=[\"A\", \"B\", \"C\"])" ] }, { "cell_type": "markdown", "id": "2903b958-bd14-453e-a864-0cb5253ffb83", "metadata": {}, "source": [ "### The plots has 4 distinctive intersections; locate them and save them for later comparisons across repeated runs:" ] }, { "cell_type": "code", "execution_count": 15, "id": "24ad15f6-c92e-4270-8a35-2eddc1a3782d", "metadata": {}, "outputs": [], "source": [ "run1 = []" ] }, { "cell_type": "code", "execution_count": 16, "id": "1f816c0a-beb7-4b86-ac51-0f7e27e9a881", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Min abs distance found at row: 1586\n" ] } ], "source": [ "run1.append(dynamics.curve_intersection(t_start=1., t_end=2., var1=\"E_high\", var2=\"E_low\"))" ] }, { "cell_type": "code", "execution_count": 17, "id": "2f8ca98a-8aa3-4a10-8c9a-ff79bd303a5a", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Min abs distance found at row: 2332\n" ] } ], "source": [ "run1.append(dynamics.curve_intersection(t_start=2.31, t_end=2.33, var1=\"A\", var2=\"B\"))" ] }, { "cell_type": "code", "execution_count": 18, "id": "33a36c4b-29f6-4897-9c0d-d0b7f1c2a76e", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Min abs distance found at row: 3017\n" ] } ], "source": [ "run1.append(dynamics.curve_intersection(t_start=3., t_end=4., var1=\"A\", var2=\"C\"))" ] }, { "cell_type": "code", "execution_count": 19, "id": "7fbb59b1-55f9-4d07-9f54-adbbb3a64700", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Min abs distance found at row: 3270\n" ] } ], "source": [ "run1.append(dynamics.curve_intersection(t_start=3., t_end=4., var1=\"B\", var2=\"C\"))" ] }, { "cell_type": "code", "execution_count": 20, "id": "3b2b147e-2299-47ae-94dc-05243211fcac", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[(1.5782463316015305, 499.9999999999999),\n", " (2.324208426199163, 40.36968965779538),\n", " (3.0098252303164066, 31.29187589510951),\n", " (3.2624567026161637, 36.1939052299051)]" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" } ], "source": [ "run1" ] }, { "cell_type": "markdown", "id": "225e1cd9-8c48-4ed4-8510-268476bae0c0", "metadata": {}, "source": [ "### Verify the final equilibrium state:" ] }, { "cell_type": "code", "execution_count": 21, "id": "f13381bb-d635-4667-b28c-99497370bf27", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "A <-> B\n", "Final concentrations: [B] = 30.01 ; [A] = 10.02\n", "1. Ratio of reactant/product concentrations, adjusted for reaction orders: 2.99529\n", " Formula used: [B] / [A]\n", "2. Ratio of forward/reverse reaction rates: 3.0\n", "Discrepancy between the two values: 0.157 %\n", "Reaction IS in equilibrium (within 1% tolerance)\n", "\n", "B <-> C\n", "Final concentrations: [C] = 59.98 ; [B] = 30.01\n", "1. Ratio of reactant/product concentrations, adjusted for reaction orders: 1.99873\n", " Formula used: [C] / [B]\n", "2. Ratio of forward/reverse reaction rates: 2.0\n", "Discrepancy between the two values: 0.06342 %\n", "Reaction IS in equilibrium (within 1% tolerance)\n", "\n", "C + E_high <-> A + E_low\n", "Final concentrations: [A] = 10.02 ; [E_low] = 967.7 ; [C] = 59.98 ; [E_high] = 32.33\n", "1. Ratio of reactant/product concentrations, adjusted for reaction orders: 4.99971\n", " Formula used: ([A][E_low]) / ([C][E_high])\n", "2. Ratio of forward/reverse reaction rates: 5.0\n", "Discrepancy between the two values: 0.005823 %\n", "Reaction IS in equilibrium (within 1% tolerance)\n", "\n" ] }, { "data": { "text/plain": [ "True" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dynamics.is_in_equilibrium()" ] }, { "cell_type": "code", "execution_count": null, "id": "d3ef9936-020b-4ab3-b762-8a6cffb963b6", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "1ba5108a-9b9a-4927-b6fd-8411d5f5eeaa", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "a5caf44d-2cd9-43e7-b64e-4a43fc799fb4", "metadata": {}, "source": [ "# _NOTE: Everything below is JUST A REPEAT of the same experiment, with different time steps, for accuracy comparisons_" ] }, { "cell_type": "markdown", "id": "541c7835-1351-4914-a6ce-dd6827840da2", "metadata": {}, "source": [ "# Run # 2. VARIABLE time resolution, using the same primary time steps as in run #1" ] }, { "cell_type": "code", "execution_count": 22, "id": "704926a6-b7cd-462e-aad6-bf8809898ffa", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "SYSTEM STATE at Time t = 0:\n", "5 species:\n", " Species 0 (A). Conc: 100.0\n", " Species 1 (B). Conc: 0.0\n", " Species 2 (C). Conc: 0.0\n", " Species 3 (E_high). Conc: 1000.0\n", " Species 4 (E_low). Conc: 0.0\n" ] } ], "source": [ "dynamics = ReactionDynamics(reaction_data=chem_data) # Note: OVER-WRITING the \"dynamics\" object\n", "dynamics.set_conc(conc=initial_conc, snapshot=True) \n", "dynamics.describe_state()" ] }, { "cell_type": "code", "execution_count": 23, "id": "a039ff65-0504-455b-a4f2-1e0c17fdd08c", "metadata": {}, "outputs": [], "source": [ "dynamics.set_diagnostics() # To save diagnostic information about the call to single_compartment_react()" ] }, { "cell_type": "code", "execution_count": 24, "id": "5747b34d-dc77-4c15-8414-d0b7dbd9a223", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "single_compartment_react(): setting rel_fast_threshold to 60.0\n", "38 total step(s) taken\n" ] } ], "source": [ "dynamics.single_compartment_react(time_step=0.0008, stop_time=0.03,\n", " dynamic_substeps=2, abs_fast_threshold=750.)\n", "# Note: the threshold values were picked by trial and error (not shown) \n", "# to be neither too small nor too large - leading to substeps being used roughly 1/2 of the time" ] }, { "cell_type": "code", "execution_count": 25, "id": "de3129bb-1260-462f-8c7a-15d4adee375f", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "single_compartment_react(): setting rel_fast_threshold to 25.0\n", "4970 total step(s) taken\n" ] } ], "source": [ "dynamics.single_compartment_react(time_step=0.001, stop_time=5.,\n", " dynamic_substeps=2, abs_fast_threshold=250.)" ] }, { "cell_type": "code", "execution_count": 26, "id": "ea836f62-243a-4a38-8c7d-3680ff2e5a86", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "single_compartment_react(): setting rel_fast_threshold to 1.0\n", "600 total step(s) taken\n" ] } ], "source": [ "dynamics.single_compartment_react(time_step=0.005, stop_time=8.,\n", " dynamic_substeps=2, abs_fast_threshold=2.)" ] }, { "cell_type": "code", "execution_count": 27, "id": "104554c7-1644-4621-b1b4-8bbcfeea3027", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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SYSTEM TIMEABCE_highE_lowcaption
00.0000100.0000000.0000000.0000001000.0000000.000000Initial state
10.000499.6400000.3600000.0000001000.0000000.000000Interm. step, due to the fast rxns: [0, 1, 2]
20.000899.2817280.7171200.0011521000.0000000.000000
30.001298.9256351.0713810.002984999.9995390.000461Interm. step, due to the fast rxns: [0]
40.001698.5712491.4239340.004816999.9990780.000922
........................
81467.980410.01845630.00688459.97466032.330760967.669240
81477.985410.01830930.00682959.97486232.330180967.669820
81487.990410.01816330.00677559.97506332.329605967.670395
81497.995410.01801830.00672159.97526232.329034967.670966
81508.000410.01787430.00666759.97545932.328467967.671533
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8151 rows × 7 columns

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" ], "text/plain": [ " SYSTEM TIME A B C E_high E_low \\\n", "0 0.0000 100.000000 0.000000 0.000000 1000.000000 0.000000 \n", "1 0.0004 99.640000 0.360000 0.000000 1000.000000 0.000000 \n", "2 0.0008 99.281728 0.717120 0.001152 1000.000000 0.000000 \n", "3 0.0012 98.925635 1.071381 0.002984 999.999539 0.000461 \n", "4 0.0016 98.571249 1.423934 0.004816 999.999078 0.000922 \n", "... ... ... ... ... ... ... \n", "8146 7.9804 10.018456 30.006884 59.974660 32.330760 967.669240 \n", "8147 7.9854 10.018309 30.006829 59.974862 32.330180 967.669820 \n", "8148 7.9904 10.018163 30.006775 59.975063 32.329605 967.670395 \n", "8149 7.9954 10.018018 30.006721 59.975262 32.329034 967.670966 \n", "8150 8.0004 10.017874 30.006667 59.975459 32.328467 967.671533 \n", "\n", " caption \n", "0 Initial state \n", "1 Interm. step, due to the fast rxns: [0, 1, 2] \n", "2 \n", "3 Interm. step, due to the fast rxns: [0] \n", "4 \n", "... ... \n", "8146 \n", "8147 \n", "8148 \n", "8149 \n", "8150 \n", "\n", "[8151 rows x 7 columns]" ] }, "execution_count": 27, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df = dynamics.get_history()\n", "df" ] }, { "cell_type": "markdown", "id": "76da4d47-c7fc-4aa7-be3e-217457be523f", "metadata": {}, "source": [ "### Notice we created 8,149 data points, a fair bit more than in run #1" ] }, { "cell_type": "code", "execution_count": 28, "id": "46e27d73-3541-4be7-8873-09fee3f68a6f", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "From time 0 to 0.0168, in 42 substeps of 0.0004 (each 1/2 of full step)\n", "From time 0.0168 to 0.0304, in 17 FULL steps of 0.0008\n", "From time 0.0304 to 2.27, in 4486 substeps of 0.0005 (each 1/2 of full step)\n", "From time 2.27 to 5, in 2727 FULL steps of 0.001\n", "From time 5 to 6.39, in 556 substeps of 0.0025 (each 1/2 of full step)\n", "From time 6.39 to 8, in 322 FULL steps of 0.005\n" ] } ], "source": [ "dynamics.explain_time_advance()" ] }, { "cell_type": "markdown", "id": "d872d00f-9c22-4e86-ab8b-d460bfbeedd7", "metadata": { "tags": [] }, "source": [ "## Plots of changes of concentration with time" ] }, { "cell_type": "code", "execution_count": 29, "id": "dfc1b89b-d661-40bb-8578-e497abdebe32", "metadata": {}, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "hovertemplate": "Chemical=E_high
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concentration=%{y}", "legendgroup": "E_high", "line": { "color": "red", "dash": "solid" }, "marker": { "symbol": "circle" }, "mode": "lines", "name": "E_high", "showlegend": true, "type": "scattergl", "x": [ 0, 0.0004, 0.0008, 0.0012000000000000001, 0.0016, 0.002, 0.0024000000000000002, 0.0028000000000000004, 0.0032, 0.0036000000000000003, 0.004, 0.0044, 0.0048000000000000004, 0.005200000000000001, 0.005600000000000001, 0.006000000000000001, 0.006400000000000001, 0.006800000000000001, 0.0072000000000000015, 0.007600000000000002, 0.008000000000000002, 0.008400000000000001, 0.008800000000000002, 0.009200000000000002, 0.009600000000000003, 0.010000000000000002, 0.010400000000000003, 0.010800000000000002, 0.011200000000000003, 0.011600000000000003, 0.012000000000000004, 0.012400000000000003, 0.012800000000000004, 0.013200000000000003, 0.013600000000000004, 0.014000000000000004, 0.014400000000000005, 0.014800000000000004, 0.015200000000000005, 0.015600000000000004, 0.016000000000000004, 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IQAAC7U0AaWvv8efuIQABCEAAAhCAAAQgAIGKE0DaKj5AdA8CEIAABCAAAQhAAAIQaG8CSFt7jz93DwEIQAACEIAABCAAAQhUnADSVvEBonsQgAAEIAABCEAAAhCAQHsTQNrae/y5ewhAAAIQgAAEIAABCECg4gSQtooPEN2DAAQgAAEIQAACEIAABNqbANLW3uPP3UMAAhCAAAQgAAEIQAACFSeAtFV8gOgeBCAAAQhAAAIQgAAEINDeBJC29h5/7h4CEIAABCAAAQhAAAIQqDgBpK3iA0T3IAABCEAAAhCAAAQgAIH2JoC0tff4c/cQgAAEIAABCEAAAhCAQMUJIG0VHyC6BwEIQAACEIAABCAAAQi0NwGkrb3Hn7uHAAQgAAEIQAACEIAABCpOAGmr+ADRPQhAAAIQgAAEIAABCECgvQkgbQHG/+XVWwJEIUSawJ5Txsiq9dukp7cPOIEJjB7ZKePHjpTVG7YFjkw4JTB5/CjZ3t0jb27rAYgBgX2mjRXedw3ARiHHje6SUSO7ZN2m7TYNtHnUaRNHy6Yt3bKtu7fNSYS//a7ODpk+abS8tnZr+OBEjAnoey/X8BFA2gKw58NDAIgZIZA2G64aFWmzY4u02bJ1Hxx437XhjLTZcHVRkTY7vkibHVsXGWmzZ1yvBaQtAH8+PASAiLTZQKwRFWmzxU2mzZYvmTY7vkibHVuNjLTZ8UXa7NgibfZsfVpA2nwo5ZRB2gJARNpsICJtQ8rVNYa02WJH2uz4Im12bJE2W7ZImy1fjU6mzZ5xvRbaRtqWLn9OLrj0Wrn95qtl9syDBjF5/0VXyYrnX4q/d8iBM+Tu264r9DrSZvMQMz3ShqtGJdNmx1YjI222fJE2O75Imx1bpM2WLdJmyxdps+eb10JbSNvc8y6TNes2xizS0vbxK66X1Ws2DIiaCty0qRPlOzdcGZfPe13LIG15j1m515G2ctx8aiFtPpTKl0HayrPzqYm0+VAqVwZpK8fNtxbTI31JFS+HtBVnVrQGmbaixMKWbwtpU2S1Mm0qdJ+55CNy3vw5Mdm7FiyWr99yhyy666b467zXkbawD2QyGtJmxxZps2OrkZE2W75Imx1fpM2OrUZG2uz4Im12bF1kpM2ecb0W2lraskQu+T0Fl55SmVWHTJvNQ4y02XDVqEibHVukzZatRkfa7BgjbXZskTZbtkibLV/33mvfSn8L6ZlvQ9VuiHbqLclqJD7SllrnVlTajj5aZPED3Y2MAXVrENht7Ah5c2uP9PVxTlvoh6Srq0NGjeiSLdt2hA5NvIjAmFFd8fmC3Ts4i8nigZgwbqRsfJP3XQu2I0d0in743bqdMwYt+I4dPUK27+iRnh7+XwvNt6OjQ8aN6ZLNW/h/LTRbF0/fe0NduvzooUeWDwo3dfKEgZluwyFtOtvuqq9+W6773CcGZuCVuV+krQy1RJ28rJrbnKSotEXvEbJhMx8eGhyezOpImwXV/phImx1bjYy02fJF2uz4Im12bDUy0mbHF2mzYxta2mbNu0iSgubiq8jtOX2KfOULnyLTljGcbZ1pUx5Za9bUspctvC3Glfe6StuDj2yV/fbnt2ah3y6YHhma6M54TI+0Y6uRWdNmy5fpkXZ8mR5px1Yjs6bNji/TI+3Yusgh1rSpmD3z3IsDGbVavXaZNn3dZeRqiV4yY5fccFA/w885cbYsfnjpwIaEl1x4ruw3Y484o+YuVycrwZPOCGr9yy7+YLxRYTpT6NyBTFuDz2ItgHm7Q+a9jrQ1ODB1qiNtdmyRNju2SJstW42OtNkxRtrs2CJttmyRNlu+7r230VY0y3bu2afG2bR6lzuOy0mSllUJO/SgfWvu8H7TrT+QW753z6DEi+4e76TMvZ6ehqmx9bivtCukBVNfv/Fb/xK3r69d/skPDxwjpv2tFadRZq5+W2Taklv+642nTb2Rc9pU2r5/9zY55TTWroR6KF0cpC000Z3xkDY7tkibLVukzZYv0mbLl0ybHV+kzY6ti9xops1Jkc+asaw1bZ//8jflyadfyBQs10f9zH/++86Ms2Eu0+YEMSuBozE1E6e7xmctkfLpq7atQnjnD+/dJU76bOhGRqktpK0RQHl1kbY8QuVfR9rKs8uribTlEWrsdaZHNsYvrzaZtjxC5V9H2sqz86mJtPlQKlcGaSvHrUitKkmb2zQkq/8uO1dL2pIiVku2nn3h5XgKpZvymNVOOimkZbQ80yOLPFVDWFal7cabtsv5H2WnrdDYkbbQRHfGQ9rs2GpkpM2WL9Jmxxdps2OrkZE2O75Imx1bF7lRadM4RaZHTps6cWAqpNZNZtqctOVJla5pS2faQkib3sdJx80c6F9yaibSZv8slmoBaSuFzasS0uaFqVQhpK0UNu9KSJs3qlIFkbZS2LwqIW1emEoXQtpKo8utiLTlImq4QAhpy9uIRMWs1u6RWdMj601fbCTTprD0rOas+FnCiLQ1/HjZB1Bp+8xnu+WKz3IuSGjaSFtoojvjIW12bDUy0mbLF2mz44u02bHVyEibHV+kzY6tixxC2jRW1pb/ToTcJiV5a9o0jtvBMZltU7E76bgj43PWGpE2XYumfVizbsPATpduIxLdgCQtdHpPejE90v45LN0C0lYaXW5FpC0XUekCSFtpdF4VkTYvTKULIW2l0eVWRNpyETVUAGlrCF/dykibHdvQ0pYUrmSvk1ktH2mrFSd5bFfZ6ZFuA5HkZoXanuujyuE9P10y0H1dR+d2rmR6pP2zWKoFlTZdz6br2rjCEkDawvJMRkPa7NhqZKTNli/SZscXabNjq5GRNju+SJsdWwtps+9t67XA7pENjqlK2/z39sit30XaGkS5S3WkLTTRnfGQNju2SJstW42OtNkxRtrs2CJttmyRNlu+7r3XvhVaqEUAaWvw2VBp0zPa9Kw2rrAEkLawPJPRkDY7tkibLVukzZYv0mbLl0ybHV+kzY6tixxqTZt9T1uzBaStwXFVaZt1VK/8dCHS1iDKXaojbaGJ7oyHtNmxRdps2SJttnyRNlu+SJsdX6TNji3SZs/WpwWkzYdSnTIqbfvt3ycPPrK1wUhUTxNA2uyeCaTNji3SZssWabPli7TZ8kXa7PgibXZskTZ7tj4tIG0+lHKkTV9+adWWBiNRHWkbumcAabNlzUYktnxZ02bHF2mzY6uRkTY7vkibHVukzZ6tTwtImw8lpK1BSuWqk2krx82nFtLmQ6l8GaStPDufmkibD6VyZZC2ctx8ayFtvqSKl0PaijMrWoM1bUWJhS2PtDXI821vE3n+eYmnR+o0Sa5wBJC2cCzTkZA2O7YaGWmz5Yu02fFF2uzYamSkzY4v0mbH1kVG2uwZ12sBaWuQ/7HHijz2mMQbkeiGJFzhCCBt4VgibXYssyIjbba8kTY7vkibHVukzZYt0mbLV6MjbfaMkTZDxmeeKbJwocRb/uvW/1zhCCBt4VgibXYskbahZes+OLy8mnXEFuSRNguqO2OSabPji7TZsXWRkTZ7xkibIeMPfEDkrrskPlxbD9nmCkcAaQvHEmmzY4m0DS1bpM2WN9Jmyxdps+OLtNmxbSdpmzXvIjnkwBly923X2QMt2ALTIwsCSxe//HKRb3xD5JovdcsnL9nRYDSqJwkgbXbPA2va7NhqZKZH2vJleqQdX6TNjq1GRtrs+CJtdmzbRdpuuvUH8vNFv5U16zbI333lcpk98yB7qAVaQNoKwMoq+sUvRsJ2jchnPtstV3wWaWsQ56DqSFtImoNjIW12bJE2W7YaHWmzY4y02bFF2mzZIm22fN17r30rw9fC+y+6St4193h5dNkzsuf0KfKVL3xq+DqT0TLS1uBwaJZNs23nf7RHbrxpe4PRqJ4kgLTZPQ9Imx1bpM2WLdJmyxdps+VLps2OL9Jmx9ZFDrmmTfeDGI5r3rzsVpcuf04uuPRauf3mq+XZF16Wr99yhyy666bh6GLNNpG2BodD17PpujZdz6br2rjCEUDawrFMR0La7NgibbZskTZbvkibLV+kzY4v0mbH1kLapkwRWbfOvs/pFtaujZYwTN61XTc10q1l07VtKnBVmiKJtDX4vOhvCnQHSd05UneQ5ApHAGkLxxJps2OZFZk1bba8mR5pxxdps2OrkZE2O75Imx1bC2nTz87Dcd17b3arbmrkZRd/MC7w8Suur9wUSaStwSdGz2jTs9r0YG09YJsrHAGkLRxLpM2OJdI2tGy1NaTNjjnSZscWabNli7TZ8nXvvfatDH0LbmpkuuWpkydUaook0tbgs6GpXU3xTpzUJ8ufRdoaxDmoOtIWkubgWEyPtGOrkcm02fJF2uz4Im12bJE2W7ZImy3fVpa29NRIR1KnSF73uU/IefPn2MP1aAFp84CUV6Sjo7/ES6s47DWPVZHXkbYitIqVRdqK8SpaGmkrSqxYeaStGK8ipZG2IrSKl2V6ZHFmvjWQNl9S5cuF3IikfC/C15x73mVy/vvOFDc10rWgUyT1+s4NV4ZvtEREpK0EtHSV/Q/ok5V/7IinR+o0Sa4wBJC2MByzoiBtdmw1MtJmyxdps+OLtNmx1chImx1fpM2OrYvcqtJmTy5MC0hbAI6nzumVB37VGW9EohuScIUhgLSF4Yi02XGsFRlps2WOtNnxRdrs2CJttmyRNlu+Gh1ps2dcrwWkLQD/c/6kRxb8qCve8l+3/ucKQwBpC8MRabPjiLQNPVv3weHl1UxHt6CPtFlQ3RmTTJsdX6TNjq2LjLTZM0bajBl/6tId8q1bRsg1X+qWT16yw7i19gmPtNmNNdMj7dhqZDJttnzJtNnxRdrs2GpkpM2OL9JmxxZps2fr0wKZNh9KOWX+25Xd8vWvjYyFTcWNKwwBpC0Mx6woSJsdW6TNlq1GR9rsGCNtdmyRNlu2SJstX/fea98KLdQigLQFeDa+8bfb5fLLRsVTI3WKJFcYAkhbGI5Imx3HWpHJtNkyR9rs+CJtdmyRNlu2SJstX6TNnm9eCybSpltnrlm3MbPtZQtvy+tT073+r/dskw+9f3S8CYluRsIVhgDSFoYj0mbHEWkberbugwNr2mzYI202XF1Upkfa8UXa7Ni6yKxps2dcr4Xg0vb+i66SaVMnVuZMg6HA+7P7tsnZ80bH2/3rtv9cYQggbWE4Im12HJG2oWeLtNkyR9ps+SJtdnyRNju2SJs9W58Wgktb1U4P94HQaBn9je+M6WPjMByw3SjNnfWRtnAs05FY02bHViMzPdKWL9Mj7fgibXZsNTLSZscXabNji7TZs/VpAWnzoZRTRqVt5sFjZMN6DtgOgHMgBNIWkubgWEibHVukzZatRkfa7BgjbXZskTZbtkibLV/33mvfCi3UIhBc2nR65LvmHi+XXfzBtqGu0qZr2jhgO+yQI21heSajIW12bJE2W7ZImy1fpM2WL5k2O75Imx1bF7lV17QtXf6cXHDptbsAvO5zn5Dz5s+xB+vZQnBpu2vBYvn6LXfIortu8uxC8xdTabv4Y6M4YDvwUCJtgYEmwiFtdmyRNlu2SJstX6TNli/SZscXabNj2y7SdvvNV8vsmQfFt/v5L39TFj+8tFI+E1zadE1bvasVd49UabvhayPis9o+89luueKzHLAd4q0DaQtBMTsG0mbHFmmzZYu02fJF2mz5Im12fJE2O7btKG2ahLrqq9+WKnlLcGmzf2Sq14JK27duGSHX/PVIOf+jPXLjTZzVFmKUkLYQFJE2O4q1I7MRiS111rTZ8UXa7NhqZKTNji/SZsfWQtoWPr/QvsMZLcw7cN4u33XTI5OZto9fcX1c7js3XDks/cxqFGkLMBQqbbqejbPaAsBMhEDawvJMRiPTZsdWIyNttnyRNju+SJsdW6TNli3SZstXo4dc0zbl+imybus6+06nWlh75VqZPGbyoO/WWtN2yYXnVmqPDhNpcynFJJGqLeYL+ZSotK38Y4ecfNwYmTipT4Rr3ksAACAASURBVJY/y1ltIfgibSEoZsdA2uzYIm22bN0HBw7XtuGMtNlwdVHJtNnxRdrs2LrIIaXtzH88077DGS3c++f37vLdrExbW0yPvOnWH8gt37tHkilGB6NqxhrqaXEfHtxZbSptKm9cjRFA2hrjV6820mbHFmmzZYu02fJF2mz5Im12fJE2O7YW0mbfW/8WsqRNa+s+HUmf8Y9oUzJ4pm3ueZfJ+e87c5d0osrcnT+8t1K7sIRC6qTt7HmjZdkTnfL9u7fJKaf1hgrftnGQNruhR9rs2CJttmyRNlu+SJstX6TNji/SZse2HaXNJaFaeiMStdKsqZBVTDOGerydtLHtfyii/XGQtrA8k9GQNju2SJstW6TNli/SZssXabPji7TZsW0XaUsTrJKwad/ItAV4xp20se1/AJiJEEhbWJ5Imx3PdGQ2IrFlzUYkdnyRNju2Ghlps+OLtNmxbXVpsycXpoXg0tbOa9oW/KgrPmR7/nt75Nbvsu1/o48o0tYowdr1ybTZsSXTZsuWTJstX6TNli/SZscXabNji7TZs/VpIbi0aaPtuHuk3reuZ9N1bbOO6pWfLtzmw58ydQggbXaPB9JmxxZps2WLtNnyRdps+SJtdnyRNju2SJs9W58WTKTNp+FWKpPcepodJMONLNIWjmU6EtJmxxZps2WLtNnyRdps+SJtdnyRNju2SJs9W58WkDYfSjllktKmB2zrQdtf/lq3/PnHdwSI3r4hkDa7sUfa7NgibbZskTZbvkibLV+kzY4v0mbHFmmzZ+vTQjBp010j9Rw2PaOt3lW1nVh8IOWVSUrbNX89Ur51ywj55CU75JovdedV5fU6BJA2u8cDabNji7TZskXabPkibbZ8kTY7vkibHVukzZ6tTwvBpM2nsVYtk5S2Xz/UKef9yWg57oRe+eEC1rU1MuZIWyP06tdF2uzYIm22bJE2W75Imy1fpM2OL9JmxxZps2fr00Jwaat1Tls7HK6twDes75CZB4+J2b+0aovPGFCmBgGkze7RQNrs2CJttmyRNlu+SJstX6TNji/SZscWabNn69PCkElbOxyu7YCffvIYeXZFh/z4F9vk7Uf3+owDZTIIIG12jwXSZscWabNli7TZ8kXabPkibXZ8kTY7tkibPVufFoZM2j7/5W/K4oeXyqK7bvLpV1OVSU6P1I5fdeVIue3WEfKZz3bLFZ9lM5Kyg4m0lSWXXw9py2fUSAkO126EXn5dDtfOZ1S2BNJWlpxfPaTNj1OZUkhbGWrF6uh7L9fwEQgibVnnsmXd0nWf+4ScN3/O8N2tUctpafvB97vksktGcV5bg7yRtgYB1qmOtNmx1chImy1fpM2OL9Jmx1YjI212fJE2O7YucjtImy7zSl9V2UQxiLQlb67Wmjb7R2n4WkhL27Zo/5GDZvT/NuLBR7bKfvv3DV/nmrhlpM1u8JA2O7ZImy1bjY602TFG2uzYIm22bJE2W77uvde+leFpwSWgdCf8yy7+4EAndKagXl/5wqeGp2OJVoNL27Df0TB0IC1t2oUzThkjK57piLf91+3/uYoTQNqKM/OtgbT5kipXjkxbOW6+tZA2X1LFyyFtxZkVqUGmrQitYmWRtmK8ypRu5Uzb3PMuk/Pfd+YgYSvDyLIO0haAbpa0/a+vj5CvfWWkzHtnj/yfO7cHaKX9QiBtdmOOtNmx1chImy1fpM2OL9Jmx1YjI212fJE2O7Yuckhpe+3hh+07nNHCnieeuMt3ly5/Ti649Fq5/earZfbMg4alXz6NBpc2d+O1Gq/KvFAfOL5lsqTt9dc65NhZ/Vv//+6prTJtGlMkfXm6ckhbUWL+5ZE2f1ZlSiJtZaj510Ha/FkVLYm0FSVWrDzSVoxXkdJIWxFa5cqGlLbvn3yybN+4sVxHGqj1oQcflFETJgyK0Cw73AeXNk0vzjlxtpx03JHy9VvuGNgt8v0XXSXvmnt8pdOOZZ+BLGnTWGfNHS2/X94pX7i6W/7yr5giWZQv0laUmH95pM2fVZmSSFsZav51kDZ/VkVLIm1FiRUrj7QV41WkNNJWhFa5siGl7RcXXVSuEw3WOuu223aJ0LaZNrcRycEH7CP/9fM3DkibWmxS4hpkXqnqtaTtH749Qv76cyNljz375NFlWyvV52boDNJmN0pImx1bjYy02fJF2uz4Im12bDUy0mbH10Latrzysl2HmzDywUcd3IS99uuySzpVYcORWj0OnmlL7h6p/3bTIZsl9eg3tINL1ZK27dFStsMPHCv69w1/s10+8p96yoRv2zpIm93QI212bJE2W7YaHWmzY4y0lWe7Y9Mm6d64ITPAtlf7P/xPHDdKtmzfId07egfKab0dm+pPE9v66iteHfMtp8G0TW277LUjuteezeXrZ7XbrX0ahilzZRm0W73/tGxZy95yrd0jb7r1B/Lya6tac/dInQZ55GEHxDeX/Hc7Ha6dfKLdQdvTp0fZtie3Smdnyz7vwW8MaQuOdCAg0mbHFmmzZYu02fJtNmlLipIKhIqEu9IylBYaLd+dEIRaEuOEK0meDIztc1iV6GP33qcqXalEPz7w859Voh9Wncjal2Pq5AkDswat2vWNGzzTlm44eUhd1Xdl8YWWLlcr06bl1q3tkKMOGyN90T4k//nCHfK1G7vLNtN29ZA2uyFH2uzYIm22bJE2W75W0ubkKilWSalyQpUUqaRkJbM6VRamWh/yR+/V/+F/5IgO6enpk97E3mQjxo+XEeMHb4yQHuUxe+3tNfC+5TSYtqltl71GTJgoXbuVr5/V7sgoZtk+WUyPLMumVeuFXNPWqows78tc2iw7X5XY9aRN+/g3N4yQ6788Mu7u7f+6TeaesXNaRFXuoYr9QNrsRgVps2OLtNmyRdps+daSNiddLuvkhMuJVfpvJ1nWgjUi2gVu5FvCowKhIuGutAylhaYrqjcyIS21JMYJV5J82QwMa9rsnl+kzY6ti4y02TOu10JwaUuuaRveWxu61vOkTXvynjNHyxNLO+Ppkd+/Z5ucdDLiljdCSFseofKvI23l2fnUZCMSH0rly7CmrTw7V1NlygmYCld3tLapR9cTvf6q9Ly5Sbas2xBPNdTMVwjxcnKVFKukVDmhSopUUrKSWZ2ywtQ4tcYjIG2NM6wVAWmzY4u02bP1aQFp86GUU8ZH2p5c1innnDVadkQ7/3d0iPzD/7dd3v0eNiaphxZpC/Bw1giBtNmx1chImy1fpC2br2a/tkYbXqhsqYjpHyddcWZMv//aK6U2enDS5bJOTricWKX/dpLVyHQ326doeKIjbXbckTY7tkibPVufFoJLWyufx1YLqI+0ad0HlnTKh98/Ol7fpteZZ/XINV/qlkMO5eDtLLZIm8+PcLkySFs5br61kDZfUuXKtaO0qXRteub38W5/WyIZ2x7Jl2bA9GvNmBXNhmm2ymW9VLhGRtMM9euJ+82QsZMmybYRY+Kphvq9Zs5slXvC7GohbXZskTY7tkibPVufFoJLm+68kjyfzacTzV7GV9r0Ph9+sFMuvGC0JHfZfdfZPXLWu3vlwot2xFk4rn4CSJvdk4C02bHVyEibLd9WlDY3XTGWsxVPD2TKNDumX/tcmg0bs+fesWypiOkfnW44Nvo7zozF39+n7kYPVhuR+PS/HcogbXajjLTZsUXa7Nn6tBBc2pK7RWZ1wJ3b5tO5ZilTRNr0nnSH4f/7v46Sn/y4a5db3HufPvnwBT0yamSfHHRIn7znnB4ZM6ZZSITtJ9IWlmcyGtJmxxZps2Wr0ZtV2lS+VMI2rngmzpRtfKb/ax8pUyEbf8jhsXC5LNn4Qw6Lv9Ypi6GyYUib7fOLtNnxRdrs2CJt9mx9WggubT6NtlqZotLm7v+xRzvle7eNkDv+qWtgymQtNpqBmzylT054R6/MnNUXbRvcP6VSNzaZOCk6xPuIXpn99r7o360z1RJps/tJQdrs2CJttmyrLm1uGqMTM82gbY3+5IlZUspUxjRDNuGQQ+PsmH49VBfSZksaabPji7TZsUXa7Nn6tBBc2mrtHqknit/5w3src0CdDxzfMmWlLRlfxe35P3TKv9/TJc89G2aOZFeUyJs8uU8On9knR729VyaM3yl0+tq06SJHze6VI47srWQ2D2nzfQKLl0PaijMrUoPpkUVoFS9bhUxbWs40a7ZpxVN1N/nQbJhmxSYcepiMiqYx6rTFMdH38qYsFidUvgbSVp6dT02kzYdSuTJIWzluRWqx5X8RWuHLDpm03bVgsVz11W8L0yP9BnHN6g55+KFOeWq5HsQpsmFDhzy7okOWP9kpr73aIb1GJwZoRm/UKJEZ+/bJcSf0yn7790lnR7/sqehNnSby9mOibF8kelrO8kLa7OgibXZsNTLSZst3qKUtXmMWZcvWP/5IPKWxnpylM2aaJVMxG8psWSP0kbZG6OXXRdryGZUtgbSVJedfD2nzZ2VRcsik7fNf/qYsfnhp5TJtTibTcJNyqTtirnj+pbjIIQfOkLtvu25Q8RCZtqKDu2F9RzwVcu2aDlm5skNeeblf6rZtlXiqZZ90yPp1Iiv/6F7rlK3Raxayp1M0J0UZPZ2e+faje2X06J1TN1Xyjj2+X/JGjCh2l0hbMV5FSiNtRWgVL4u0FWdWpIaVtCWzZ+sf+23daY1OzlzWTKcyjj/0iLqbfBS5x+Eqi7TZkkfa7PgibXZsXWSkzZ5xvRaCSFst8Uk3fN3nPiHnzZ8zvHecal37/vVb7qgpkx+/4npZvWbDgKipwE2bOlG+c8OVA5GGQ9oahagyp9m7l1/qkBXPdMiWN/sj9vZ1yJrVIi9GIvj0U53yxusdseyFvEaMFNk/yuCdcmqPRDOEIr2MFDPK8OnavOOjNXs6ZVMFD2kLSX1wLKTNjq1GRtps+YaQtiKClsyWTT7muCFfZ2ZLc3B0pM2WNtJmxxdps2OLtNmz9WkhiLQlG6q1ps2nM8NRJk/a5p53mXzmko8MyGZW+WaUtjKsu7dHmbtI5v7wXGckdJHMbenP6vX0dsirr3TIH1/okN9H0zk1++fOoivTTrLO2LEisyKJO/GkXhk7tj+Dt21bh5x0Sq+cclpP9L1GW2jP+kib7bgjbbZ8y0ibTnFc++hvZXP096Znnqq5McjkY08YWHOm2TP9up0upM12tJE2O75Imx1bpM2erU8LwaXNp9EqlcnKErqpkXrm3AWXXiu333y1zJ55UNztrO+1i7QVHTddi6fr7/7wnMpcZzxdU6/t2zvkhUjwnvhdZ5zpC5HJU3k75theeUckdyOj4xL0mjxF5LS5vXLY4b01z79z00yL3luzl0fabEcQabPlmydtmkVb9+hvctegOUHb7WCd2nh406w7s6SLtFnSjTYAmxid07qlW7Z1Gy1Mt+1+paMjbfbDw/RIe8b1Wmh7aUvDSU6H9JW2jW92D+8otkjrq6NpmTpV8/HHoymaa0RGdnXKq6/1yf33Rev1oh01t0eZvkYunXJ56KF90UHmfTJhQr/YTZks8s539clhh7XOUQk+jLq6OmTUiC7Zsm2HT3HKFCQwZlRXlIHuk+4dfDAriM6r+IRxIyX5vrvl5Zdl1SO/kdW//Y1sePopWR/9SV+TDjtcxu6zj0w77gSZeNhhMv34d3i11W6FRo7oFP3wu3V79Fs3ruAExo4eIdt39EQbjLXX/znBQWYE7IjWWYwb0yWbt/D/mhVvfe/lGj4CJtKmUwrXrItOkM64qr57pBM17SfSNnwPpra829gR8ubWnmiq5eD/3KJfosui+zvlySc1a9ffx40bO+S+ezvkqWjaZiNypweZv+Mdut6uT7qis/D062OO6f+6lQ45R9psn22kzZbvjj8+K6/8bpm8et+9saCptKUvlbKJhx8ue55+hkw6/AgZGZ17xpVPAGnLZ9RICaStEXr16yJtdmxdZKTNnnG9FoJLW9ZGHcN7i8VaTx9NkLWmLX10AdMjizH2Ld3oRiSvv9YhC3/ZPwVTd83UtXdP/K5DHlzSJSp+ZS495uDIWb1y6pz+NXajRku0a6aur7M/AqFMf2vVYXpkSJq7xmJ6ZFi+ut3+umg3x1WL74vXounXyUt3cpx8zPEyKfrTjuvQQtJmemRImrvGYnqkHV+mR9qxdZGZHmnPeEilrdk2IlEpW3TXTQOM0tLZqrtHDu9j59d6o9Lm04pumvLLX3TKymiNnYpdd3eHPLCkUx57tFN045Wi17hxIiee3CPHHBdl6jr74gPM553VIwccUK2pMEhb0ZEtVh5pK8YrXVqlTOVMJU1lLS1pu82YIWMPOlSmzzmDtWiNod6lNtIWGGgqHNJmxxdps2OLtNmz9WkheKat2aQteQabAjvpuJmDtvPX71XxnDafwW32MkMhbXmMNkbHIvxqcac883RHLHFbtnTIrx/ulKWP9597V+SK19RFm6LMO7NXxo3TdXUic+f1yhEzh37dE9JWZOSKl0XaijPTjUNW/+p+WRutTVNhS14uk+Yk7bCTjhZmOBRn7FMDafOhVL4M0laeXV5NpC2PUOOvk2lrnGEjEYJLmwrOu+YeL5dd/MFG+tVUdfnwYDNcVZC2vDtTcdPplk8sjdbSbRPZEK2tW7SwM9pQpVN2FFgL3dUlcvgRvXLmWb3R2rk+2X0PkbPnR+fY7WWToUPa8ka2sdeRtnx+bsrjqwv+I97pMS1p4w85XKZFmbQpxx6/y66OebtH5rdOiVoEkDbbZwNps+OLtNmxdZGRNnvG9VoILm15554N7+3atI602XBtBmnLu3NdT7fwl13R0QciO3o6ogxd/5q6zZvzau58XY8zOOPMHjnyqL74OIN3nNgbn1PX2ekfI10SaSvPzqcm0pZNSeUslrSMKY96gPWUaGfHaaednns2GtLm8xSWK4O0lePmWwtp8yVVvBzSVpxZ0RpIW1FiYcsHlzadHlnvqvrukWXwIm1lqOXXaQVpq3eXG6MNVu/9eZc8u6Ij3iTld491yJLF0Tb80aHlPpduinLc8dHB45HAjY2yc7OP7pO5p/fICI8deZE2H8LlyyBt/eySG4isWrRwENAxe+8Tbx4y+Zjj4r/1a98LafMlVbwc0lacWZEaSFsRWsXKIm3FeJUpjbSVoRauTnBpC9e15olkIW0rN7wgL258YRCE9dvWy4Ztb51QHb0ycfRkmTR6Uk1Q+044IPO1/SZmf79qxFtd2rJ4u8O+33ijQ362oEtefaX/MPJ7o81Slj/ZGZ3tkz9KunbuqGhHy7mn96+dOzYSO93dUr/vLqQtn2MjJdpZ2nQ92msL/j1zbZpm06bPndcvaseeUBox0lYaXW5FpC0XUUMFkLaG8NWtjLTZsXWRkTZ7xvVaQNoC8G9E2jZEIrbkpfvlwZcXyRNv/E6WrXo8ErP1AXpVLMTESP4mRRKYvtLip5Kospi84u+NGiyP+07Yf5dYaVncNfbkKPbOOO0obXmjpjtcPvxQp/w6+rNtW4csX6bn0/ll5zQzd/KpvXJCNL1y92hXy3Pf1ymTd48W4nEFJ9Bu0lZr2mNyA5Gi2bR6g4K0BX9kBwIibXZsNTLSZscXabNji7TZs/VpwUTakrstXve5T8h58+eITpvM2pnRp5NVL1NG2jSTdsOvvyx3Lv9e5u2p4KgIJQUpLUyaddPsW60rnalz5bTtZrgmj5ksE3aRwZ1ZwjSPtDymxTEpjWlhbJbsY71x0/VzP/lxl6yJjjFY8Ux/dk53v6x3dUQv771Pn7znnB7ZY48+OfrY5jtzrorPcqtL247ooEMVNd2Sf9XihbJD5/q+dblpj3vN/5OGsmlI2/A82UibLXekzY4v0mbHFmmzZ+vTQnBpS55zljyY+qZbfyB3/vDeQWei+XSwGcoUkTbNot3w6+vkW4/97cCtnTLjdHnP2/5Ujtr97TJr+tGDsk1Ddf/ar/WJqZeu3bwpmlpOxXHj9sHyuHLjH3fpeloWd429bliyjOmOJgUuKc7J7ycFUcXSTVNNTllNiqFmMZNZxKEaV23npRejqZY/6ZLVqzviowvuj3a3XL+uvsxNndYnZ0THERx6WK/M/5PeeGdLLn8CrSht9danuU1E9pz/p7vs9OhPzb8kmTZ/VkVLIm1FiRUrj7QV41WkNNJWhFa5skyPLMctVK3g0qYZtdtvvlpmzzxIktKmu0pe9dVvSztvRKLS8uG75ouTl/NnXihXvOML0gpZnlAPZDLO6LFb5Q9vvB5t0rFz2/uk6KXX+KXlMS2OSWkcHGdoZTEr45fMGu731tTSLBlUKXRTURsRwZFdnfLUkyPlZ7/okXWRwC2+v1OWLdUpl7uO5MRJfTIr2rnyqNm9cuSsXpk1W79G4uo9860ibfW25dc1aXE2reAmIiHeK5C2EBSzYyBtdmw1MtJmxxdps2PrIiNt9ozrtRBc2lTU/u4rl+8ibe2eadNM1tl3nBwLm35o/5fzFiBrOc/+cK1pS8rdhiiD6DZ/SX4/KYhaxk1TTU5ZTYqh5ZTU5HpEl91zYpjMCLrpoip+03ebIkfscbCs3bg9XsvosoBro6mVP/tJp7y4skOWPRGJXPRn5R93zcqpyO23XyRvkcCpyJ06pzf+Wr/PJdLM0lZVUUs+V0ib3U8Z0mbHFmmzZYu02fLV6EibPeMhlbbPf/mbsvjhpfE0SJdpO/iAfeSCS6+Vc88+Vb7yhU8N7x0btO4zPfJD/zZfHog2HEHY/AdguKTNv4flSmZl/JJZwxffmlqaJYMqhfp9vXQ6a8hNa9LyN5D92zpZlv16imx4fYqsfDrahCb6Ov6z7sB+AO7r6J+agVOBa/eMXLNJWz1R090ep0eHXA9HRq3WTxjSVu69x6cW0uZDqXwZMm3l2eXVRNryCDX+OtLWOMNGIgTPtGln3FTIZMcuufBcueziDzbS18rWzZM2Xb92zeLPxtmMn37kQTJsniPZqtLmefvexZLrEV12z4lhMiPopouq+OkaRJXD3r6+cPKXlrjo63hq5b4HyFGHTpQjD54wcExFOiPofbNNUrAZpM1H1KbPPVNGjB9fOepIm92QIG12bDUy0mbHF2mzY+siI232jOu1YCJtw3tLQ996PWnTD9QnffeIOCPy/Q8sEN10hMuPANLmx6lMqaxz2pz8uSmhLvvnxM9l/twU0LQglumH1kln+NzUTl3b59b1uQ1emkX2qiptuuvjqkX3yqsL/iPe/TF5uYxaVUUt2VekrexPW349pC2fUSMlkLZG6NWvi7TZsUXa7Nn6tBBc2j5+xfXy0CPLd9lwpF23/L/h4evk69EflTWVNi5/AkibP6uiJS0O13bZPZW59HRPFb6Vr0dnEv52Q/+UzsnP93fZ/V30BhKypyLnpnLq3zPG7z/wtTs6o5FNW0p0rXJr2l798Q/7t+dftHDQ7bjNRJpB1JC2Mk9i8TpIW3FmRWogbUVoFSuLtBXjVaY0mbYy1MLVCS5tuo7t/PeductUyHbciIQsW2MPKtLWGL96tS2kzbe3urHJA7/qlCeXdcoT0Y6Vy1boZi+RyI1Z1/8nKXRj1st+h62VfQ9dG7/WL4Tl1/Ilzz/Uf7uNWtwmLfq9fgls7IiGKmTa3IHX6XPUhnPXR99nJK8cmbY8QuVfR9rKs/OpibT5UCpXBmkrx61ILaStCK3wZYNLm2bU3IHaye6245b/ZNkae2CRtsb4VVXa0v3asF53quyIBU5FToUua8dKt8nJyadGm52c1ivrO56PQyUze7pOLzmNU7N//V+XE716kqdTNt3r6WM7hkvanKite+y3omvW3NUKopZ8bpA2u/cGpM2OrUZG2uz4Im12bF1kpM2ecb0WgksbmbaduGd+a2/WsjXwfCNtDcDLqTqcmTafu0pm45Ys7j96IH3tt3+fnBLJ2ymn9sR/69d5l5M4XZen/3br9XSTluRavTKS59bmaabu4Klvk97ofMG9d9svytztH3crVBYvfY8qZy/96+3yRjT1MSlqY/beR2Z86KOye7Tzo/67lS6kzW40kTY7tkibLVukzZavRkfa7BkPqbTpNMhbvnfPwAHb2vjS5c/FW/636g6SWRuR6Pb+us2/fpBb/slXhneUm7R1pM1u4Koubek7d9k4zcIt+VVXnJnT7yUv3aly/nv7jxuY/94eL4nLI+wkL/47Ej2VvJc2/XFgzV7y9bxYu0hnNBVTD0qPs3WatUtsvJIneG7nxxf/5Z9l04qnB0KrnOnW/Pt++KMy/pDDinapacojbXZDhbTZsUXabNkibbZ8kTZ7vnktBM+0aYNZW/5nTZnM61yzvJ4lbbrFv271/5kTr5Iroj9cxQkgbcWZ+dZoNmnLui/NvmkW7sElKnKdmRKn0yjj6ZTR2XE6vdLycrtv6nTN1dtfkh09vfLcmufFHbWggld2TZ5K3F4dU+QDG2fL0U91DNr58Y3dumXyscfLXvP/RGaf/meWt1iZ2Eib3VAgbXZskTZbtkibLV+kzZ5vXgsm0pbXaKu9niVtJ393Zjz9im3+y4820laeXV7NVpC29D3qlMoFP+qquS5OM3FDJXF5a9qSxyu4LF5yPV5S8A59rldOeGmCnP58dKB54rr/wHXymxkb5bfRn+Tl1tfpNM30Ziv11uHlPTNVeh1psxsNpM2OLdJmyxZps+WLtNnzzWsBacsj5PF6Wtr0A5dKG1MjPeDVKYK0NcavXu1WlLYsidPplA8s6crc3MRS4vKkLW9k620oMvbMOXLv9JXyqqyNp2k6wdOY7tiFvPju9eQ6PHdsQtY0TS2f3mzFtw2LckibBdX+mEibHVukzZYt0mbLF2mz55vXgom06WYka9YN/u2v68iyhbfl9anpXk9Lm06L1OmR58+8UG486++b7n6q0mGkzW4k2kHaykhcqDVxZaSt1oYiujZN16jpWjWfDUWyNlsJtQ4vT/KSmbxGj02o9/QjbXbvDUibfu9ZMwAAIABJREFUHVukzZYt0mbLF2mz55vXQnBpe/9FV8m0qRPlOzdcmdd2y7yelraLf/QRWfDcD2NhU3HjKkcAaSvHzadWO0pbPYlb8KNd18Qld6dUmdPMnO/lK231NhTZfe48mfFnF3iJmm+/0uWS6/B2Ho6+89iERrJ4rq30dE39fjKbp6KnWT6dzhm/Fq3fy7uQtjxC5V9H2sqz86nJlv8+lMqVQdrKcStSi90ji9AKXza4tNU6py1816sTMS1tbqv/Bz+23OsDSHXupFo9QdrsxgNp25Vtck1cLYnTXSndOXH1JK6etO3YtElWLbpXXl3wH4M2FHE7P+qGInquWhWvPMlzRyk0cjae3rfL6Onumi5752RP/z5q70Nk3abtAztvajlf4asi1yr1CWmzHQ2kzY4v0mbH1kVG2uwZ12sBaQvAPyltbj2b/rZYpY2rPAGkrTy7vJpIWx4hic+G090pf/Lj7CMG9Gy4o2b3ynvO6Yl2puwblInLkja3Tm3V4oWyY+PO6ePTo4za9Ogstb3OeV9+p5qwRHq6pt5C+hB0XZunO2vqVXRdXhaSZHYvKXPxur1I8CZEf/Tfyddcps9yWmczDB/SZjtKSJsdX6TNji3SZs/Wp4Xg0qbTI98193i57OIP+rTfEmWS0nbn8u/J5b/4L6xnCzCySFsAiDVCIG3F2cabmtQ4J06zbipuKnB6vMBpJ4+Q7d098vqy5aJnqa177LeDDr7WTFqcUfNcp1a8t81dI7m7psveOdnTv/VIhTe39cSCp69rZi+U8CXJJadqZk3f1GmeeiUlMCmCmiV0WcDk96s8Okib7eggbXZ8kTY7tkibPVufFoJLm57R9vVb7pBFd93k035LlElK29WL/pvc+vjfyTVzviafPObTLXF/w3UTSJsdeaStMbbusG/Nwmk2TrNy7po+8iU598C75E/3v0u2vPLywPd1+uOMD31Udo+yaj4bijTWw9aunbembef6vMHZO83obYwEr3/65mDRc5m+9SqBb71mSTEphG4aqGsvva7PyaF7fd+3ZNF97dYFJr9OymKtuFn3h7RZjroI0mbHF2mzY4u02bP1aSG4tOmatnpXq+8e6c5n+9lHH5Ijp832GQPK1CCAtNk9GkhbWLavP/WK3P7lx2TEsnvkyHG/Hgj+Rvc+snzzibJgzYVy9kWHeK2HC9uz1oyWJ22h7trJn0qeZvT0Sk7f1GmeeiUlMFkmmQVM1w3Vx0bjpAWxIwrY0dEh+4zvzyKmr3obxbjpp7X6lM5I1irnsxmN1k1nMn1Z+Mb3jVekHNJWhFaxskhbMV5lSrOmrQy1cHWCS1u4rjVPJJdp09/O6iYknM8WZuyQtjAcs6IgbY2zrbWhyIgJE2Sfee+UVTPeJ3+/4ERZEk2p1Mxc8tL1cKee1iP6t/7hKkZgqKStWK+KlU7KX1IKNUp6XZ+TQ9fCyrdk0X2tcugyh/q9tCwO1Iumk3KFIeA2yykarTMS4r6+PvHdizadhS3a3nCXd+c/DkU/IrQyZmSXbNneMxTNtWUbd5z/3ba876rcNNIWYCSctD3w0v3yoX+bL7Omv11+esGDASK3dwikzW78kbbybFctWiirFt8nr/74h4OCJDcUSW9EklwPp/9OXslDvnV3Sj1qgKs+gVaQtqqMcVoQx47ukpEjOuXJV1dkdrHeRjFu+mmte0tnJGuV892Mppac5rH1jZ8Xh9ch0G4E+v47/z8N55ibSJuua7vqq98edF/Xfe4Tct78OcN5r2ZtO2njUO2wiJG2sDyT0ZC2Ymzdzo++G4rU2/I/uR5uwY+6RI8aSF4qbSpvR87qjf4udj5csbtq3tJIm93YsabNj63bLMev9M5SUyaMks1bd0QbFfll2NNZ2KLtDXd5FXk3tdi6L5rFHD9uhGzY3G3dVNvG/3/mfKpt770KNx5c2m669Qdyy/fukdtvvlpmzzwovsely5+TCy69Vi658NyW3FXSSds1iz8rsbixCUmQZxtpC4IxMwjSls+2lqiNP+Qw2ffDH62786Pv4draC5U4PRfugSVd8d9ZUylrHS2QfxetWQJpsxtXpM2OrUZmTZsdX9a02bF1kVnTZs+4XgvBpW3ueZfJ+e87cxc5U5m784f3tuSukk7adGqkTpG89b13yPyDWvPMpaF8XJE2O9pIWzbbTSueztyiX3d73D06T23Gn13gtfNjEWlL96Te+XDpowVmHeX323q7J2l4IiNtdtyRNju2SJstW6TNlq9GR9rsGQ+ptOnukVlTId2UyVbePdLtHKmHag/n7lTD+0iFax1pC8cyHQlp20lERe21Bf8ub0Rr1bamtujXc9Q0q6bZtSJXI9KWbKfe0QJaTiVOp1D2T6Vsn/VwSFuRp7FYWaStGK+ipcm0FSXmXx5p82dVtiTSVpZcmHpk2gJw1EwbO0cGAJkKgbSFZ+oitru05YlafPB1dAB22SuUtKXbd1Mpn1zWGU2lbN/1cEhb2Sczvx7Sls+okRJIWyP06tdF2uzYushImz3jei0El7Z2XdO2bNXv5OzbT44zbJpp42qcANLWOMNaEdpR2pyorX3kN6L/dpdOfdSMWqOilmRtJW3p8dRNTFTeHlzSmXm0gE6fPHVOr7znnB6ZdVRfnJlrhQtpsxtFpM2OrUZG2uz4Im12bJE2e7Y+LQSXNm20HXePvHP59+TyX/yXeC2brmnjapwA0tY4w3aXNuuMWi2+QyVt6fb1OIEnlnbKT37cJcue6Kh7PlwzSxzSZvfegLTZsUXabNkibbZ8NTqZNnvG9VowkbbhvaWhb12nR7rt/j95zKfj3SO5GieAtDXOsB2lTXd9XP2r+2uuUQuZUauatCX749bDqcgt+VWXZJ0Pp+LmDvluJolD2uzeG5A2O7ZImy1bpM2WL9JmzzevheDS9vErrpeHHlku6Q1HdIOSk46bKd+54cq8PjXd6yptmmXTbNuNZ/29nD/zwqa7hyp2GGmzG5VWmx5Za3t+i6mPPqMyXJm2en3z2dSkWSQOafN5CsuVQdrKcfOtxfRIX1LFyyFtxZkVrUGmrSixsOWDS1u7bvl/8Y8+Igue+yHb/Qd8PpG2gDBToVpB2lZFuz2uWnyfpA+8Hi5RSyKuorSlnyaVuCVRFi5eD7e4M5pO2TmoiDteoIqZOKTN7r0BabNjS6bNli3SZsuXTJs937wWgktbu275z3b/eY9a8deRtuLMfGs0o7TpdvwqaE7UdmzcOHC77hy1aaed3tCuj7788so1g7QVlTgtf8ppvaIHfZ98arTBSfTv4drYBGnLewLLv460lWfnU5NMmw+lcmWQtnLcitQi01aEVviywaWtXTNtM/52XDw6yz/5ikwcPSn8SLVhRKTNbtCbRdqcqL264D9Ep0AmLz07bc9z3idTjj2+8DlqdmT7IzejtJWROLc7pZ4Tp0K33/5Dszsl0mb3BCNtdmw1MtJmxxdps2PrIiNt9ozrtRBc2tpxy/+H/vB70Uwb2/2HfZiRtrA8k9GqLG1uI5H01vyxDEVnp8UbiURb9Gt2rapXK0hblsTpjpS6M6XuUJm1O6VKm8qbSpweNaBSZ3EhbRZU+2MibXZskTZbtkibLV+NjrTZMx5SadPG2m3L/5899VB8Rtus6W+Xn17w4PCOaAu1jrTZDWaVpG3Hpk2yatG90dTHR3ZZnzZiwgSZPmdeJGnHyfS5Z8qI8ePtoASM3IrSVkviVOBqnRPn1sXplMqQ2TikLeDDmgqFtNmxRdps2SJttnyRNnu+eS0Ez7TlNdiKr39j8Tc5o81gYJE2A6hvhRxuadPz09Y++ltZrRuJpKY9Vm19WplRaAdpy+Kih33r0QIPLOk/YkC/Tl+ajdMMnK6LU5krc9QA0lbmqfSrg7T5cSpbiumRZcnl10Pa8hk1WoJMW6MEG6uPtDXGL679xV/8D7lm8WeFM9oCwEyEQNrC8kxGG2pp02yaylnWbo/ar2aZ9ug7Iu0qbWk+6bPisqZUap3ktEofkUPafJ/E4uWQtuLMitRA2orQKlYWaSvGq0xppK0MtXB1kLYALD9192X9h2tHh2qruHGFIYC0heGYFWUopE0lrX/KY/QnI5um69KmzzkjFrZmmfboOyJIW21SLhv35LL+owZWruwQlbv0VU/kkDbfJ7F4OaStOLMiNZC2IrSKlUXaivEqUxppK0MtXB2kLQDLj9z5MQ7WDsAxHQJpM4D6VkgLaau3Jb82q3I2LZK0Ku72GJo00laMqJ4RpwKnIrdsaccuZ8a5aG5q5Xve3SUTp22Pp1kO1Y6Vxe6oeUsjbbZjh7TZ8UXa7Ni6yEibPeN6LSBtAfif+u0z5IGX7pfvf2CBnDLj9AARCaEEkDa75yCEtKmk6dq0WlMedUv+8Yce3rLZtHqjg7Q19uxq5k0zcEmRq5WRS252MmPfvtLr5BrrcevURtpsxxJps+OLtNmxRdrs2fq0gLT5UMops/+NB8rKDS/Igx9bHm/7zxWGANIWhmNWlDLS5talrX/8Ecnajl93ehyY8ljxLfntyPZHRtpsCLuplS88O0p+/3SPLIk2O8maWqmtu6yc/q07V86a3Sf77dc3bAeC2xAJHxVpC880GRFps+OLtNmxRdrs2fq0gLT5UMopM+mrk2XDtvUcrB2AZTIE0hYYaCKcl7T19cVb8K/+1f2y8Zmnd1mXFstJG015LDIaSFsRWsXLJte0qbSpvKnQuemVtbJy2pJm5lTeVOJU5pJyV7wnrVcDabMdU6TNji/SZscWabNn69MC0uZDqU6ZdVvXyZTrp8QlXvr0mw1GozrSNjTPQKa0RZK29jcPybqlj8v6xx+tKWl6Zlr8JxI2rmwCSJvtk+GzEYlKnK6V85U57XFS4HSqZTsKHdJm++wibXZ8kTY7tkibPVufFpA2H0p1yjy/7nl52/96WzwtUqdHcoUjQKYtHMt0JJW2UdvflBW/vE/efP4PsvahJbLh909mNjj1HSfL/v/XRdH6tCNabpdHK8JImxXZ/rg+0larB0mZe+nFaO1cQu7q9doJ3MRJkdzt1yv7vpWtmzixX+5a5ULabEcSabPji7TZsUXa7Nn6tIC0+VCqU+axVx+TY//+WJk1/e3y0wsebDAa1ZMEkLawz0P3unXy2s8XyLY3XpfV9/1C3nz5pcwGusbtJnuedbaMO/Ag2fPd82Xk5P5MMpc/AaTNn1WZko1IW632dJrl+vUyKDu3IfF1Xj9V3FTk9G8ndSp4usPlpOhvnZbZDBfSZjtKSJsdX6TNji3SZs/WpwWkzYdSnTJ3/f4u+cAdH5D5B71Pbn3vHQ1GozrSFuYZ6IumOm5ctlTW/PpBefOPL8iq+++V3u7tmcH1jLQ9zny37HbA22T3d75bRk3fPUwn2jgK0mY7+BbSltdjl5FTkdO1c+sjydPjCTZs6M/W5V0qbSpvKnEuWzdhokTf619fpxm7Ksgd0pY3ko29jrQ1xq9ebaTNji3SZs/WpwWkzYdSnTK3PXab/MXdfyHnz7xQbjzr7xuMRnWkrdwz0L0+yqIt+Hfp3rBBVi25XzY/u6JmIJWyfc6eL5P221fGn3ZWlEmbXK5RatUkgLTZPhzDIW317iiZpVOpezE6rmDlSt3Zsj9zpxm8WrtcpuM6uXNZO5U6FTr9WmVPv9Z/Wwke0mb77CJtdnyRNju2SJs9W58WkDYfSnXKfPG+L8o1C6+Rz5x4lVwR/eEKR4DpkTVY7tghb0SZs80v/EE2Pv17WROtR+uLvpd1dXR0yG7ReWnTTztdxuy1dzzdsWPkKPHaPTLcULZdJKTNdsirJm0+d1tP7DRT55uxS7fl1tM5ydPXdXqmy+IlRU9fy5M9pM1nNMuXQdrKs8uribTlEWr8dQ7XbpxhIxGQtkboRXUv/8nl8o0HvyHXzPmafPKYTzcYjepJAkibSF9PTyxlG59aLltffUXe+OXPpGfb1poPSteYsbLHu94jY/bcS3QDkQlHHpVZFmmz/VlD2mz5NqO0+RJxchdn6yKZ02mYGzfIQObOCV6R7F1W2072NIsXT9d8azOVaVNFpk7pkJFjeuKsXiyBb72mYuiuVtp8xXdsQpRD2kJQzI6BtNmxdZGRNnvG9VpA2hrkr1MjdYqkTo3UKZJc4Qi0m7RptmzVkkXR1MZnZNvrr8nrKmhb6hwj0dkpk2bNliknnCSjd98jljWVNp8LafOhVL4M0laenU/NVpY2n/tPlnHr6Zzk6Wv6b83cqfDpFE39W7+nV6Oyl+6fm86p33dSF0/pjERwQPCizJ+7kuLnsoD6mv5bBdJdeRnBopyqUh5psxsJpM2OrYuMtNkzrtcC0tYg/zP/8UxZ+PzCeBMS3YyEKxyBVpa2HRs3RlL2U9m+ZrVs/sOzsnrJYundvq0uvNHRWrQ9332OdOnGIfPOkrH7HVAaNtJWGp1XRaTNC1PpQkhbaXQDFZ3sqdyp2Lmvt2zuks2bOuT1Vb2x7OmVFEP9OrT4+dxNOrPnMoTJulnZP50qmr7c1NH095MSmX4tKZvp14oIJtLmM9rlyiBt5bgVqYW0FaEVvizS1iBT3e5ft/3X7f5123+ucARaRdo2Ll8WH1rds317JGdRJm3F06K7O9a7Rk2dJnvodvvjJ8jUKJM2IcqohbyQtpA0d42FtNnyRdrs+BZd05bcOXNnNq9fBN3lvh8LYLRBi7tcFlC/1n+rQLprOMTQjurOKaad0Tpjff+v9T9Alozm9avRqapus5u8dsq8XkuQy8TKq6Nsx48bIRs2d+cVHfR6PVkvFKgNCv/ZuaPb4C6re4tIW4Njowdr6wHberC2HrDNFY5As0nb9lVvyBv3/TLawXG9bHlxpaxefJ/sqDe9MUKlG4WM2XtGtOX+u6Rr7FiZcuIpMuGII8NBrBEJabNFjLTZ8kXa7PgWlTa7ngyOnD5WwWUIk6Wyjl5ICuOALL41dTTd96REJl9LC2W6XqsJ5lCNKe00H4Gc3zc33w01WY+RtgYHbMr1U2Td1nWy/JOvyMTRiUn8DcalukhVpW37urXxuWfbV6+S7rVr5I1FC+N/510dXV0y6ejjZPLRx8aCtvu8d8U7Og7HhbTZUkfabPkibXZ8qyptdnc8NJGdUE6ZMEo2b90h27t3nbapPcmS0bwe+pwTWC+G2+wmr50yr7u1lWXqFq0T/Q5Uxozski3bewpVrSXrhYK0SeEli3dmytvklit1m0hbg8PR8cX+6RwvfbrOhhENttGu1Ydb2nre3Cyv/Mc90rNpo2yLpGx1JGfbIknzueLpjWedLSOi6Y3jDjhQdp87L95qvyoX0mY7EkibLV+kzY4v0mbHViOzps2OL2va7Ni6yKxps2dcrwWkrUH+Km06LVKnR3KFJTBU0rYpWmO2+sFfSV93d7wxyBv3/iw+pNrn6ho7TqbPOUPG7bufdEWT9/c4450yKtrJseoX0mY7QkibLV+kzY4v0mbHFmmzZYu02fLV6EibPWOkzZAx0mYHt1Fp27FpU5TpGh93cNtrr8brzXZs3hTL2eoHF8umZ1dEB6HV3xDE3d2IcbvJtOiA6rGRnI0YN06mnTq3od0b7aj5RUba/DiVLYW0lSXnVw9p8+NUphTSVoaafx0ybf6sipZE2ooSK14eaSvOLGQNMm0N0lRpO2XG6fL9DyxoMBLV0wSKStvm55+TNQ8slp6tW2MxW/vwA7Lxmadyd2pMtjtq8mTZ453RtMZJk+N1Z3uc+W4ZHR1U3WoX0mY7okibLV+kzY4v0mbHViMjbXZ8kTY7ti4y0mbPuF4LSFuD/FXa9FBtPVybKyyBtLT1bN0Sb5m/5Y8vxCLWHW0IMrAJiGfGTHvYMWKETDn2BJl4VP8RDWP32z+e1lilNWdhSe4aDWmzJYy02fJF2uz4Im12bJE2W7ZImy1fjY602TNG2gwZI23h4Pb19Iieabbx909K98YNMq6zV1bed79sig6f1teKXJ3RTo0TjjxKphx/ou6rL6MmT5Hp0YHUo6ZMLRKmZcsibbZDi7TZ8kXa7PgibXZskTZbtkibLV+kzZ5vXgtk2vII5byu0vbJYz4t18z5WoORWr+6ridb9+hvZcvKF/qnMO7YIesef0Q2R2vL9LWiV9eYsTL15FNlt7cdHFcdNX33KGN2loyYOHGXUMn1bUXbacXySJvtqCJttnyRNju+SJsdW6TNli3SZssXabPnm9cC0pZHyEPaPnPiVXJF9KfVr3rio1MX1//ucXkzWlcWb/YRTVfcGh0wvSHKmm199eVY0Ipemi0bf9jhMuWEk+MpjfpnUjSlcdLbjxU984yrPAGkrTw7n5pImw+l8mWQtvLs8moibXmEGnudNW2N8atXG2mzY+siMz3SnnG9FpC2Bvlrpk3Xs+m6tla8+np75c0oM7bp6d/HOzD2Rht89Or3og0+NkR/4kOlo6/LXB0jR8qEw2fKlGOOj9aTjRSVtN0OPlSmnhhJWnSmWdGNSMr0oV3rIG22I4+02fJF2uz4Im12bDUy0mbHF2mzY4u02bP1aQFp86FUp0yzSptmvnS3xU3PrZDtr78Wb+rRFW1r/+bKP8qmSMa2Rd/T7FnZq6OzU/SA6aknnyaj3zq3bES0G+OkSNBU1HSdWd6FtOURKv860laenU9NpM2HUvkySFt5dnk1kbY8Qo29jrQ1xq9ebaTNji3SZs/WpwWkzYPS+y+6SlY8/1Jc8pADZ8jdt103UEulTbf7123/h/vSzTq2vLRSNq14RrZFGbCeTRvjLu14c7Nseur38Wvd0eHRvQU39UjflwrZmGgb/CnvOFlGTZsev9w5alQsY5OPPi7OmoW4kLYQFLNjIG12bDUy0mbLF2mz44u02bHVyEibHV+kzY4t0mbP1qcFpC2H0sevuF5Wr9kwIGoqcNOmTpTv3HBlXNNS2nRq4rY3XpfNK56W7WvXxFMR9Xt6IPS2Va/Hh0Nve+Vl6d6wvv/7DV4dUfZrxIQJ0bqxo2W3Qw8XlbP4exMnyeRoi/zdDnybV4aswW4MVEfaQpHcNQ7SZscWabNlq9GRNjvGSJsdW6TNli3SZsvXvffat0ILtQggbTnPxtzzLpPPXPIROW/+nLjkXQsWy9dvuUMW3XXTgLQ9+LHlst/EA+pH0nPFIrnaHG1fvzUSrR0bNkhPlAHri2rpQdD6vU3PPyvdq1ZJd5QhK7rFfb3GddMOnaKo4jVmr737+/2WjE06+th490UVtKpdSJvdiCBtdmyRNlu2SJstX6TNli+ZNju+SJsdWxeZjUjsGdf9PB/t8qfewJVBYOny5+SCS6+V22++WmbPPCgukf7ebld1yT3z/k123zxStrz6iqx/9Dey6lf3y/iDDo6zZDs2RgJmgFhFbMyee0fTEY+V0W+JmPavK1o3ttvbDol2WDw6+ve4ph5XpM1u+JA2O7ZImy1bpM2WL9Jmyxdps+OLtNmxRdrs2fq0QKatDiUfafunWbN8OOeW6YrWgY3bay+ZdvTRMmH//QemIWoGbOzuu8v06PsTDzqokhmx3JujAAQgAAEIQAACEIAABCBQmgDS1qC0/fOJx8vk/Q6UUdGBzlOOOEI6I/l67u67ZdqRR8qkQw6JM1/u0i3ttdzkQw+VyTNnysjddis9cFSEAAQgAAEIQAACEIAABNqDANKWM85Za9qu+uq3ZdnC2wZqvry6/Nb47fGYlbtLpkeW4+ZTi+mRPpTKl2H3yPLsfGqyEYkPpXJlmB5ZjptvLaZH+pIqXo7pkcWZFa3BmraixMKWR9pyeObtHqnVkbawD6WLhrTZcNWoSJsdW42MtNnyRdrs+CJtdmw1MtJmxxdps2PrIiNt9ozrtYC0efCvd04b0uYBsGQRpK0kOI9qSJsHpAaKIG0NwPOoirR5QCpZBGkrCc6zGtLmCapEMaStBLSCVZC2gsACF0faAgAl0xYAYkYIpM2Gq0ZF2uzYamSkzZYv0mbHF2mzY6uRkTY7vkibHVsXGWmzZ1yvBaQtAH+kLQBEpM0GYo2oSJstbqTNli/SZscXabNji7TZskXabPlqdKTNnjHSZswYabMBTKbNhqtGRdrs2GpkpM2WL9Jmxxdps2OLtNmyRdps+SJt9nzzWiDTlkfI43WkzQNSiSJIWwlonlWQNk9QJYshbSXBeVZD2jxBlSiGtJWAVqAK0yMLwCpYFGkrCKxEcTJtJaAFrIK0BYCJtAWAmBECabPhqlGRNju2Ghlps+WLtNnxRdrs2GpkpM2OL9Jmx9ZFRtrsGddrAWkbXv60DgEIQAACEIAABCAAAQhAoC4BpI0HBAIQgAAEIAABCEAAAhCAQIUJIG0VHhy6BgEIQAACEIAABCAAAQhAAGnjGYAABCAAAQhAAAIQgAAEIFBhAkhbycF5/0VXyYrnX4prH3LgDLn7tutKRqJaLQJLlz8nF1x6rdx+89Uye+ZBgApA4ONXXC8PPbJ8UKRlC28LEJkQSuDzX/6m3PPTJfA1fhwcZ94bwoG+a8Fiueqr394lIO8P4RhrpFnzLhoIeMmF58plF38wbANtFs19Tsi6bZ7dcA/D3PMukzXrNg4EhG04tkUiIW1FaL1VVj/4rl6zYUDUVOCmTZ0o37nhyhLRqJJFIPkGwQezcM+Icl10100DAfXD7+KHlw76XrjW2i+Svhd86cqLB37JcNOtP5A7f3gvfAM+CioX/3D7j+NfmvHeEA6scv36LXfwrIZDOiiSk4vrPvcJOW/+HKNWCKsE9H330WXP8Jks0OOg/68dedgB8pUvfCqOmP4MHKgZwngQQNo8IKWL6Affz1zykYE3Xv6zKwHRowqZNg9IDRaBcYMAc6rDNzxfzVSorJGFD8uW/8fC8kxH0w++75p7PJk1W8xxdP2M9ndfuZwZOoFY85k3EMgAYZC2ghCzPoTxwawgRM/icPUE1UAxMkENwPOoqr+RfOa5F8leeLDyKaIMMyAPAAAKMElEQVQffP/ignPk4AP2Qdp8gBUokzU9kilQBQDmFNVfNkydPGHQFDMyxeH4ukhk2cIzddPR3fsBv4AIz9g3ItLmS+qtckhbQWANFEfaGoDnUZXpOh6QShZJTu/lg29JiKlq+sHhtVVr4ylPvDeEYVovClOgwjHOeq9NfxAO11p7RyLLFn78s9YN8v9aeM4+EZE2H0qJMkhbQWANFOeDWQPwcqo6tiyEt2OskfW3vrd87x7hP7jGOKen7vHe0BhPn9qOMc+uD636ZWo9r5p9Y41b43xdhOQvdsJFJZKbku42hOP/teF7JpC2Euyz5vfqrlv851YCZp0qfDALy9NFc9OgmJpjwzcdNf0f3tC02lqt1NrZUO+SXzzYjLVjzv9rYfhmCRrSFoati8J7bVieGi3rlzd8NgvP2Tci0uZLKlGO3SNLQCtRhTeGEtByqrDZQHimyYjszmnL10XnvSE85/Szy67IYRmn17eyc29YvmTZwvJMRlMZPum4mQO7cfLs2rHOi4y05RGq8TrntJUE51ktfSaILuBOblXvGYZiCQL1zrNhik6YRyX5vuAikqkIwzYZBWkLzzT97CY/pIVvrT0jJhnzf1q4Z4DZI+FY1oqUPF+QZ9eed60WkLbhY0/LEIAABCAAAQhAAAIQgAAEcgkgbbmIKAABCEAAAhCAAAQgAAEIQGD4CCBtw8eeliEAAQhAAAIQgAAEIAABCOQSQNpyEVEAAhCAAAQgAAEIQAACEIDA8BFA2oaPPS1DAAIQgAAEIAABCEAAAhDIJYC05SKiAAQgAAEIQAACEIAABCAAgeEjgLQNH3tahgAEIAABCEAAAhCAAAQgkEsAactFRAEIQAACEIAABCAAAQhAAALDRwBpGz72tAwBCEAAAhCAAAQgAAEIQCCXANKWi4gCEIAABCAAAQhAAAIQgAAEho8A0jZ87GkZAhCAAAQgAAEIQAACEIBALgGkLRcRBSAAAQhAAAIQgAAEIAABCAwfAaRt+NjTMgQgAAEIQAACEIAABCAAgVwCSFsuIgpAAAIQgAAEIAABCEAAAhAYPgJI2/Cxp2UIQAACEIAABCAAAQhAAAK5BJC2XEQUgAAEIAABCEAAAhCAAAQgMHwEkLbhY0/LEIAABCAAAQhAAAIQgAAEcgkgbbmIKAABCEAAAhCAAAQgAAEIQGD4CCBtw8eeliEAAQhAAAIQgAAEIAABCOQSQNpyEVEAAhCAQGsSuOnWH8gt37tnl5u75MJz5bKLPyhzz7ssfm3RXTftUkZfmzp5otx923Xxa3mxZs27qC7EqZMnxO18/Irr5aFHlmeWve5zn5Dz5s+R9190lax4/iVxX7vCdy1YLFd99dtyyIEzBvqVDuTTjzknzpZ7frpkoOq5Z58qX/nCpwq163MfrflUcVcQgAAEIGBBAGmzoEpMCEAAAhUn4KTi9puvltkzDxrorcrXzxf9dkB6VHJOOm6mfOeGKwfKfP7L35TFDy8dkDnfWGm5SkuXvq6xVq/ZUFO6tIyTtnS/3PfrSVtyWJzkZfUj67Ui7frcR8UfEboHAQhAAAIVIoC0VWgw6AoEIACBoSKgMuYySPXaTMvL0uXPyQWXXjsoy+UbK6S0TZs6Mc7IOel0/VKRy5M+n37UkjbfdpG2oXqSaQcCEIBAexBA2tpjnLlLCEAAAoMI6PTGQw/ad1AGrRYiFZBnnnsxzqxptknFJZl5KxJL26iX4fKRHe3DkYcdIK+tWit7Tp8ST13U7J9e+j1LafNt1+c+eCQhAAEIQAACvgSQNl9SlIMABCDQQgScOLlbcmvKat1ici3YsoW3DSpWNFaetPmsaVN5Oum4I+M1bNof7Z9m3W781r+YS5tPu6xpa6EfFm4FAhCAQAUIIG0VGAS6AAEIQGA4Cbipha4PWdMmnWi5TUpq9bdIrEbWtKm0uc1BtC8u+1ckw1VmTZtvu0X6MZxjT9sQgAAEINAcBJC25hgnegkBCEBgSAjoNEPdOTGdTctay5bXoVqx8jJtedMb3fRIlTa3a6UTwCKy1Ii05bVbpB95HHkdAhCAAAQggLTxDEAAAhBoMwIqYP/0bz+PM1Xpy8lIelfJWtJWJlZIadP+65o6dyxBEVlqRNry2i3SjzZ7/Lh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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "dynamics.plot_curves(chemicals=[\"A\", \"B\", \"C\"])" ] }, { "cell_type": "markdown", "id": "61d80b2d-ac5d-4d34-bdaf-9183b07445ab", "metadata": {}, "source": [ "### The plots has 4 distinctive intersections; locate and save them:" ] }, { "cell_type": "code", "execution_count": 31, "id": "3b7374c8-1d91-4490-a20a-a8704f50aabf", "metadata": {}, "outputs": [], "source": [ "run2 = []" ] }, { "cell_type": "code", "execution_count": 32, "id": "06a456e9-3292-464a-b295-b7c6e9416411", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Min abs distance found at row: 3145\n" ] } ], "source": [ "run2.append(dynamics.curve_intersection(t_start=1., t_end=2., var1=\"E_high\", var2=\"E_low\"))" ] }, { "cell_type": "code", "execution_count": 33, "id": "65ba29ca-76d7-4a62-aa7b-9e1655238a0e", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Min abs distance found at row: 4590\n", "val1 is very close to, or equal to, val2\n" ] } ], "source": [ "run2.append(dynamics.curve_intersection(t_start=2.31, t_end=2.33, var1=\"A\", var2=\"B\"))" ] }, { "cell_type": "code", "execution_count": 34, "id": "a54cab94-1b24-44fd-bc1f-7500c19455ee", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Min abs distance found at row: 5276\n" ] } ], "source": [ "run2.append(dynamics.curve_intersection(t_start=3., t_end=4., var1=\"A\", var2=\"C\"))" ] }, { "cell_type": "code", "execution_count": 35, "id": "93b38c9d-2101-4b6b-b4ed-0b42cb6ded06", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Min abs distance found at row: 5528\n" ] } ], "source": [ "run2.append(dynamics.curve_intersection(t_start=3., t_end=4., var1=\"B\", var2=\"C\"))" ] }, { "cell_type": "code", "execution_count": 36, "id": "cda568ff-b329-4911-baff-456c852ada19", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[(1.5735537752099382, 500.00000000000034),\n", " (2.3183999999998557, 40.37073343842193),\n", " (3.004140156337331, 31.291875890937405),\n", " (3.256771634660094, 36.193905213310856)]" ] }, "execution_count": 36, "metadata": {}, "output_type": "execute_result" } ], "source": [ "run2" ] }, { "cell_type": "code", "execution_count": null, "id": "10fcf04b-b30a-4c69-9488-1772ed805616", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "7e5c8990-1abc-4349-b651-ac7fdc2cef08", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "edc22090-daf5-4ca4-9109-64589def23de", "metadata": {}, "source": [ "# Run # 3. FIXED time resolution, using the smallest time substeps from run # 2 \n", "#### (i.e. FINER fixed resolution than in run #1)\n" ] }, { "cell_type": "code", "execution_count": 37, "id": "65dbc605-2037-4484-9bad-957ecdcb6451", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "SYSTEM STATE at Time t = 0:\n", "5 species:\n", " Species 0 (A). Conc: 100.0\n", " Species 1 (B). Conc: 0.0\n", " Species 2 (C). Conc: 0.0\n", " Species 3 (E_high). Conc: 1000.0\n", " Species 4 (E_low). Conc: 0.0\n" ] } ], "source": [ "dynamics = ReactionDynamics(reaction_data=chem_data) # Note: OVER-WRITING the \"dynamics\" object\n", "dynamics.set_conc(conc=initial_conc, snapshot=True) \n", "dynamics.describe_state()" ] }, { "cell_type": "code", "execution_count": 38, "id": "d77cd506-65b0-4604-94e7-a9fa226ede08", "metadata": {}, "outputs": [], "source": [ "dynamics.set_diagnostics() # To save diagnostic information about the call to single_compartment_react()" ] }, { "cell_type": "code", "execution_count": 39, "id": "cf6a8313-2a36-4a67-89a7-512217331aeb", "metadata": { "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "75 total step(s) taken\n" ] } ], "source": [ "dynamics.single_compartment_react(time_step=0.0004, stop_time=0.03)" ] }, { "cell_type": "code", "execution_count": 40, "id": "5d46aedb-ab55-4910-b3c9-6f8d49baa236", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "9941 total step(s) taken\n" ] } ], "source": [ "dynamics.single_compartment_react(time_step=0.0005, stop_time=5.)" ] }, { "cell_type": "code", "execution_count": 41, "id": "f2600206-aa79-40b6-8b8d-6061c8a03568", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1200 total step(s) taken\n" ] } ], "source": [ "dynamics.single_compartment_react(time_step=0.0025, stop_time=8.)" ] }, { "cell_type": "code", "execution_count": 42, "id": "813314da-3859-4bf1-9cae-764da773c40f", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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SYSTEM TIMEABCE_highE_lowcaption
00.0000100.0000000.0000000.0000001000.0000000.000000Initial state
10.000499.6400000.3600000.0000001000.0000000.000000
20.000899.2817280.7171200.0011521000.0000000.000000
30.001298.9256351.0713810.002984999.9995390.000461
40.001698.5719791.4228040.005218999.9983490.001651
........................
112127.990510.01844430.00688059.97467632.330713967.669287
112137.993010.01837030.00685259.97477732.330423967.669577
112147.995510.01829730.00682559.97487832.330134967.669866
112157.998010.01822430.00679859.97497832.329847967.670153
112168.000510.01815230.00677159.97507832.329561967.670439
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11217 rows × 7 columns

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" ], "text/plain": [ " SYSTEM TIME A B C E_high E_low \\\n", "0 0.0000 100.000000 0.000000 0.000000 1000.000000 0.000000 \n", "1 0.0004 99.640000 0.360000 0.000000 1000.000000 0.000000 \n", "2 0.0008 99.281728 0.717120 0.001152 1000.000000 0.000000 \n", "3 0.0012 98.925635 1.071381 0.002984 999.999539 0.000461 \n", "4 0.0016 98.571979 1.422804 0.005218 999.998349 0.001651 \n", "... ... ... ... ... ... ... \n", "11212 7.9905 10.018444 30.006880 59.974676 32.330713 967.669287 \n", "11213 7.9930 10.018370 30.006852 59.974777 32.330423 967.669577 \n", "11214 7.9955 10.018297 30.006825 59.974878 32.330134 967.669866 \n", "11215 7.9980 10.018224 30.006798 59.974978 32.329847 967.670153 \n", "11216 8.0005 10.018152 30.006771 59.975078 32.329561 967.670439 \n", "\n", " caption \n", "0 Initial state \n", "1 \n", "2 \n", "3 \n", "4 \n", "... ... \n", "11212 \n", "11213 \n", "11214 \n", "11215 \n", "11216 \n", "\n", "[11217 rows x 7 columns]" ] }, "execution_count": 42, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df = dynamics.get_history()\n", "df" ] }, { "cell_type": "markdown", "id": "4989acc3-3d74-4133-9cdf-b3e7a95a745c", "metadata": {}, "source": [ "### Notice we created 11,217 data points, a fair bit more than in run #2, and a good deal more than in run #1" ] }, { "cell_type": "code", "execution_count": 43, "id": "a9135977-3c83-4fc0-a8c1-b10cf03d40d0", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "From time 0 to 0.03, in 75 FULL steps of 0.0004\n", "From time 0.03 to 5, in 9941 FULL steps of 0.0005\n", "From time 5 to 8, in 1200 FULL steps of 0.0025\n" ] } ], "source": [ "dynamics.explain_time_advance()" ] }, { "cell_type": "markdown", "id": "3d365566-179d-4f9d-a41c-6dc9d7cfad98", "metadata": { "tags": [] }, "source": [ "## Plots of changes of concentration with time" ] }, { "cell_type": "code", "execution_count": 44, "id": "ad5cd5f8-d113-4bf4-9688-76146d164868", "metadata": {}, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "hovertemplate": "Chemical=E_high
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g2trtf0YPAQhAAAIQgAAEIAABCEROANEWuYPoHgQgAAEIQAACEIAABCDQbgKItnb7n9FDAAIQgAAEIAABCEAAApETQLRF7iC6BwEIQAACEIAABCAAAQi0mwCird3+Z/QQgAAEIAABCEAAAhCAQOQEEG2RO4juQQACEIAABCAAAQhAAALtJoBoa7f/GT0EIAABCEAAAhCAAAQgEDkBRFvkDqJ7EIAABCAAAQhAAAIQgEC7CSDa2u1/Rg8BCEAAAhCAAAQgAAEIRE4A0Ra5g+geBCAAAQhAAAIQgAAEINBuAoi2dvuf0UMAAhCAAAQgAAEIQAACkRNAtEXuILoHAQhAAAIQgAAEIAABCLSbAKJNwf/Pr3lNwQomhMCUiePMy69tNhs3vwEQJQK7TxlvmKNKMDtmxo3Z3uw8foxZs36jntGWW5owfnRCYMNrW1pOQm/4xFI9ltYSsVSXKbFUl2d6noaxjNV+E0C0KXiAhFgB4lsmSDT0WJJo6LMUiyQa+lwRbfpMiaX6TBFtukyJpbo8EW1heMZkFdGm4A1EmwJERJsexIwlEg1dtCQaujzFGqJNnymiTZ8psVSXKbFUlyeiLQzPmKwi2hS8gWhTgIho04OIaAvGkkpbGLSINn2uiDZ9pog2XaaINl2eiLYwPGOyOjCibfmq1WbeWZeYpdddbGbOmD6M8cdPXmCeevq55N/2mraH+fqShaqfI9r0pjSJhh7LdABnjupxJdHQY2ktIdr0mRJL9Zki2nSZEkt1eSLawvCMyepAiLYj5843a9dtSLhmRdsp51xp1qxdPyTURMBN2WWiufma85L2dT8XGyTEelOaREOPJaJNn6VYJNHQ54po02dKLNVnimjTZUos1eWJaAvDMyarAyHaBGhRpU0E3WfP/KSZe8ychPsd9y4zX1h8q7nvjkXJ3+t+jmjTnc4kGro8xRqJhi5TEg1dnmIN0abPlFiqz5RYqsuUWKrLE9EWhmdMVgdatOUJufS/iSOySyp9PrfLMKm06U1pEg09lukAzhzV40qiocfSWkK06TMlluozRbTpMiWW6vLsh2jLrl4LM6IwVru9VhXmifWtItoy78F5i7bttjNvTJ1qth55tNnyRyeYrUcdZd6cNLm+Z1pqYfy40WbTlq1m69Y3W0pAf9gTdhxjNry6Wd9wSy2OGrWdGTt6lHltI2eKaU2BsZ2z7+TaxPmMWkgNsVQN5ZAhYqkuU2KpLs+hH4J1/s/XuuQVogcfWTXM3C6TJwytVuuHaJMVcwuuuNEsPP+0oVV0VcaLaKtCTemesqqarYr5iDLpWrdKXGKzI9rSlwi2TWfPN5s/PR/xVsG3JBoVoJXcQqKhy5REQ5enWEO06TMlluozJZbqMiWW6vLUFm37fvBkkxZo1r4IuXfu+g5z+YWnm36INi1qiDYtkhXs+LzTJgp95feWJE/Je6fN53Ox8cJPHjc73H2X2eGefzHj7v9BYveNSZPMK2ecnfySP3O5EWBJjxsnn1Ys6fGhVd6WJT3ljHxbsDzSl1h5e2JpOSPfFsRSX2Ld2xNLdXlaazJP614izJ5c/YuhilqRPSva5HNbkSsSeumKXXrTQMnD5xwy0yx7aPnQpoJnnnSCee8euyUVNXvZe/Ly/WxFUO6ff+qJyWaD2Uqhzf8RbXVnSY37i+DX3R2y7H7pcvp9IRFtO1912TDxtv7Sq8yrnzqpxujacyuJhr6vSTR0mZJo6PIUa4g2fabEUn2mxFJdpsRSXZ6aok2qbCd89PCkmtbtskdqWZEkbUWE7T39PYW7tC+66Xaz+JY7hxVPZAd4K8rs59llmGJbjuzK5vtZgSmff/Efvpo8Xz77zH/7k6GjwKS/RXbCeEPX6kC805be8l/wZFV+P85py4q3jUccZdYtut5s3XOqrgcHzBqJhr5DSTR0mZJo6PJEtOnzFIvEUn2uxFJdpsRSXZ5aos2KIpd3xvKWR15w2Q3mP554Jldg2T5K3v6J4z+UVMNspc0KxLwijNiUSpzs/J73mpNLX+XZIghvu+u7I+xkz3cO45n6VgdCtNXHUM9Ct535dvzKLWbiReea7V96KXnIhnMXsGSyC24SjXpzMe9uEg1dpiQaujwRbfo8YxRtG9Zv+z+w7Nq0aaPZtPH1smbDPt+40f+e7ANe3rC+9Jl132nb4PCM0k70qYH4RDhrXtt3tgSQ99o2b2HjMU2up5/257XMaYo2u2lIXodsda5ItKWFWJHY+tkzzydLKO2Sx7znZAs70kbaszyy1jRp7s1l26mLYJtw9UKz0+Jrk0FKtU2qblJ94xpOANGmPyMQbbpMEW26PMUayyPdmKaFT564SYuXncePMa9v2mrWrVs3wrjcm5eAdxNWL28oFl0bOwn9JuWE3o0IrSAAgSyBv/qrv6oNxWd55JRdJg4thZQHpyttVrSViSp5py1badMQbTKOQ2fNGOpfemkmoq32NGmmgTLRZkclSyYnLjjXjFnxWPJPr5x5ttnwuQVsVJJyO6JN/zuAaNNlimjT5TkIok0EiwgXudLixoogEUibO0JJrrRgylYv5O/yub1cq1P6HtG3OGGi24ZcY8eOM2PH7eDVgXHj/O/JPmDChImlz6xbadvZ4RmlnehTA/GJcNa8xoze3owfO9qsf3WTptnW25q9//tqMyjbiESEWdHukXnLI7stX6xTaZOByi7vefbzBCOirfbUaL4BV9FmRzrhqoVGfslF1W24/xFt+t8HRJsuU0SbLk+x1s9KmwijdNVK/p4WWXZJmxVQaWHVa1GVFj554iYtXmSebtn6htlxp5FiZExHGOUl4N2E1c4TikXXuE5CP1Y5odefZfUtEkvrM0xbIJbq8rTWNHaPFFt5W/5bIWQ3KSl7p03s2B0c09U2EXaHzvpAcs5aHdEm76JJH9auWz+006XdiEQ2IMkKOhmTXCyPDDP3GmHVV7TJoEY9+4yZPP+MoV0mqbptczWiTX/Kk2joMiXR0OWpJdqk2rWhs4TPVq/kd3lPyVa2sqJLU3CJYBHhIlda3FgRlIipjlCyl624ZKsX8vd0O9fqVJ5HiKX685RYqsuUWKrLU1u0pQVXuqfpqpaLaCuykz56q+rySLuBSHrDQXme7aOIwzu/+cBQ9+U9OrtzJcsjw8y/6K1WEW12UPKem7zvJu+9UXVDtIWY7CQaulRJNHR5dhNtIqzscsNtf94mwmw1TITZNqFWfYMEEUbpqpUVSna5nBVY9t/TwqqOqNKnONwiok2fMLFUlymxVJdnCNEWpodYrUqA3SOrkkvdV0e0iRmqbm/DJNFQmJAZEyQaukxJNOrzTFfFkuWJr79s1nd+cLX2t+uSSlkVISbVrgmdJXy2eiW/p4VXVnTFLLjqE+YHYBoMszaIpbpUiaW6PBFtYXjGZBXRpuCNuqItr+r2xqRJnR0mbzCvH3e8Qg+bYwLRpu8rEg1dpiQa5TxFlK158YXk3bC1L/46qY69+JvO756CTISVXW4ofxYRJu9jyZ/t+1vbhJruBgnlI4y/BbFU30fEUl2mxFJdnoi2MDxjsopoU/CGlmjLq7qJaBPxJiKuDReJhr6XSTR0mZJobOO5RsRYR4SJGHvl5fVDokz+vexKV8VEgE3ZZbIZ1xFjO0/eNblVhNqgV8LKGNX9nFhal+DI+4mlukyJpbo8EW1heMZkFdGm4A1N0Wa7k37XrU1VNxINhQmZMUGiocu0TYlGnjCTd8zKNvEQUTZl13cm1TARXzvtPNHs+ju7JUsX8ypj/dw9Und2xGONWKrvC2KpLtM2xVJdct2tae0e2cs+8yw3Aog2N05dW4UQbfLA7Ltubai6kWgoTEhEmz7ElMVBTDREnIkQk6WM9s9lFbMpu24TYSLGRJQlyxeTJYz+yxURbfpTlliqzxTRpst0EGOpLqFq1hBt1bg14S5Em4KXQom2NlbdSDQUJiSiTR/igIg2X3FmK2ZWmNlqmQg2zQvRpklzmy1iqT5TRJsuU0SbLk9rDdEWhmsMVhFtCl4ILdqki22pupFoKExIRJs+xAaKNhFoa37zglm75jfJ+2ayMUjR1vgiwpJ3yzq/79L5JcsaZXljrzb4QLTpT1liqT5TRJsuU0SbLk9EWxieMVlFtCl4oxeizXYz+67bhs8tMHIw96BcJBr6niTR0GUaY6IhAu35XzybCDQRakVLG9OVs3ft/t5EnL17jz11AVWwhmirAK3kFmKpPlNiqS7TGGOp7gj7Y41KW3+49+KpiDYFyr0UbXlVt41HHNXZYfL65HDupl8kGvoeJNHQZdrvRMMucfzV8z9PKmi/fO7Z3AHa6pmIM1nW2MvKmS9xRJsvsfL2xNJyRr4tiKW+xLq373cs1R1NPNYQbfm+WL5qtZl31iVm6XUXm5kzpo9oVPZ5+gaftpozA9GmQLPXos12eRCrbiQaChMyY4JEQ5dpLxMNe97ZL5/7uXm+86toiWOTBFqeNxBtunNUrBFL9ZkSS3WZ9jKW6vY8bmuDKtqsUMqjf+ZJJ5j5p57Y1TGaQkvTls9sQrT50Cpo2y/RJt3JvuvW9KobiYbChES06UNMWQyZaMgOjlJJkyqaLHfMW+Zo3z1rQgXN1RGINldS7u2Ipe6sXFsi2lxJubULGUvdejCYrQZdtBVVysq8qSm0NG2V9Tv9OaLNh1aEos12aYe77zKT559utn/ppeQg7qa+60aioTAhEW36EAOJNhFpsrzxl8//ovBdNHnnTJY3ikizFbWgA+yDcUSbPnRiqT5TRJsuU0SbLk9rDdGWz9UKLanKLb7lzqFGC88/zcw9Zo7JE2KnnHOlefCRVcMMimiUS5ZaFtkK41ljEG0KZPtZaUt3XwSbCDcRcHI1sepGoqEwIRFt+hCVRFtapIlYyx5SbTcK2X2P93Y2CBGR1rsdHINCKzGOaNOnTyzVZ4po02WKaNPlqS7ann7aGPnV62vaNGPkV+aqW92y9+81bQ/z9SULE+uLbro9EXArv7dkhGgTwbZm7fqhtunnW9FWZCsUMkSbAtlYRJsdioi2SRedmyydbFrVjURDYUIi2vQhVhRt8k7a8x1x9sz/eyq3kiYibfdOJc0udYxhJ8eg8AqMI9r0qRNL9Zki2nSZItp0eaqLtr/9W2M+85kwnexm9S//0pgvfrFQtOXdWvWdtjwhZpdf7vvBk42twskzu7XNfp630YkGSESbAsXYRJsMSapuE65eaGSzErmk6rZ+4VVm8377K4w4nAkSDX22JBq6TMsSjWS541sbh2R3drSVtKn/aS+z+3v2TJY7chmDaNOfBcRSfabEUl2mZbFU92ntsaa2PHLJEmP+6Z96D+7P/syYk08uFG2a77QVCTF5eHanSURb76dCkCfGKNrsQMfd/4POkskzkqqbXBvOXZD8ivUi0dD3DImGLtNsomGXPCbVtM4mItklj1I9s8sd21pJK/MAoq2MkP/nxFJ/ZmV3EEvLCPl9jmjz4+XaWk20uT6wR+20lkemRV9Zpc21rSCo2z8XjFTaXCiVtIlZtEnXs1U3qbZJ1U2qb7FdJBr6HiHR0GUqicYr69eYx5b/R7INf7aaJrs7ijhLqmmd36W6xtWdAKJNf4YQS/WZEkt1mSLadHlaa4i2fK55oqqbaPv4yQvMlF0mmpuvOS8xeMFlN5g7v/lAcs6bXN0qcSyPDDO3VazGLtrsILNVt1fOPDvZZVLee4vlItHQ9wSJhg7Tp1c/mbyb9qvO8sf1nV0f05eItH3ev28i1kS0cfkRQLT58XJpTSx1oeTXhljqx6usNaKtjFC1zwddtOVRCfFOmzxH3muz16GzZiQ7SeZtWiJtqLRVm689v6spok3AZKtuW/ecatYtuj6aqhuJhv70JdGoxjS97FE2E5FNRew1adJk887OFvxWqFV7AndZAog2/blALNVnSizVZYpo0+VprQ2qaAtDy92q7DT57fseHtpN0v1OvZYsj1Rg2STRZocrVbeJC/RSr50AACAASURBVM41Y1Y8lvxTLFU3Eg2FCZkxQaLhztQKtSceXzli2aNd8jht2lQzbc/3mDXr3xZx7k+gZR4BRJv+vCCW6jMlluoyRbTp8my7aEtXxfLI+m5gYo8DsLZ2mTzB3HfHojBOc7SKaHME1a1ZE0Xb0E+4r+rsMHn9tUkFLoaqG4mGwoREtHlBLBNq2WWPJBpeeJ0aI9qcMHk1IpZ64XJqjGhzwuTciFjqjMqrIZU2L1yNaoxoU3BXk0WbDF92lpQdJqX6Jtfrxx3fWTJ5Q1/edSPRUJiQiLZSiN2E2rTpeyebiEybvk/uJiIkGqV4vRsg2ryRld5ALC1F5N0A0eaNrOsNxFJdntYaoi0M1xisItoUvNB00WYRyJlucrabVN36dSg3iYbChES05UIsEmqyu6MINNfdHkk09Ocook2fKbFUnymiTZcpsVSXJ6ItDM+YrCLaFLwxKKJNUGSrbnIsgGxUIksne3GRaOhTbnOiIZuHPL36CZN9Ry0t1KSy5nORaPjQcmuLaHPj5NOKWOpDy61tm2OpGyG/VsRSP16uram0uZJqXrtKou3IufPN2nUbckcrW2G27Rok0WZ9t8Pdd3WWTJ7e86obiYb+t6eNiYZsz//k4ys6gu3JYUDLlj660CfRcKHk1wbR5sfLpTWx1IWSX5s2xlI/Qn6tiaV+vFxbI9pcSTWvnbdoyx4217wh6/d4EEWbUMo7lHvdtTcYOZw71EWioU+2LYmGHHJtK2qyFNJe9gy1onfUfImTaPgSK2+PaCtn5NuCWOpLrLx9W2JpOQmdFsRSHY5ZK4i2MFxjsOot2mRLzYXnn2bmHjMnhv5H0YdBFW0Wbi8P5SbR0J/Sg5xoiDiTatrKxx42aaE2ZdfdzH4HzA5y2DWJhv4cRbTpMyWW6jMd5FiqT6vcIrG0nFGVFoi2KtSacQ+iTcFPgy7aBFGvDuUm0VCYkBkTg5hoPLFq+Yj31CZMnJSItFkHH27kz6EuEg19sog2fabEUn2mgxhL9Sm5WySWurPyaYloy6e1fNVqM++sS4zveW0+7EO39RZtsjzyI0fONvNPPTF03xpjvw2iLV11C3koN4mG/rQflERjzYu/NisefTg59DpdVdtnxkxjz1LTpzfSIomGPmVEmz5TYqk+00GJpfpkqlkkllbjVnbXoIo2K7ryxn/mSSeU6pJWirY77l1mvrD41r6fCl42aXv5eZtEm+Ua6ngAEg39mdvkRMNu0//Ijx4YJtTse2rye8iqWp43SDT05yiiTZ8psVSfaZNjqT6N+haJpfUZ5lkYdNFWtVLWStEm77R1u9g9MsyXMEarIY4HINHQ93QTEw27qYgsg7RXr5Y/lnmARKOMkP/niDZ/ZmV3EEvLCPl/3sRY6j/K3t1BLA3DGtGWzzVPtKV3w99r2h7m60sWJjdLgWrBFTcaq2nK/h7GkyOtei+P7FXHmvScNlba0v7JVt1eOeNss+HcBZVcSKJRCVvXm5qSaJRV1WQZZAwXiYa+FxBt+kyJpfpMmxJL9UcexiKxNAxXLdG2bt06I796fU2ePNnIr+xVt1KWvV9e95LLCrXs7vgi6D575ieTjRcvuOwGc+c3HzB2Gab8/YUXf2tuvua8nuJBtCngbrtoE4R5xwOsX3iVkcO5fS4SDR9abm1jTzTsu2oxVtXyCJNouM07n1aINh9abm2JpW6cfFrFHkt9xhJDW2JpGC9oibYf/vCH5hvf+EaYTnaxethhh5mPfexjhaIt71bfd9rEhmxKkt4NP1tNO+WcK807d32HufzC040IuDmHzBwSav3a36OSaLMDS4Nr8zEAiLa3Z0Ld4wFINPTjY6yJhog02VhERJu97LtqsVTVEG368zHPIqJNnzOxVJ9prLFUf6S9sYhoC8NZS7T99Kc/NY8++miYTnaxesABB5gDDzywULRpvNP2s2eeT5Y/pm1lK3GLbrrdfPu+h82l551qLrrypqQiJ6+IyZJJ+b1qP+oA9RZtMojFt9yZO1AXpVuns7Hei2gb7hmpuu10/bVmwlXb1gZv3XOqeenSq8zrxx1f6kISjVJE3g1iSjRkCaRsKpLeATKWd9VcwZJouJJyb4doc2fl2pJY6krKvV1MsdS91/G2JJaG8Y2WaAvTu+pWNZdHSi/KKm3SRsSZaJvnX3gxqbhJhe0D+0w1yx5a3pcNGb1Fm5QIP3H8h0ZsrSli7ra7vtuXQVSfAjp3ItryOY5Z8ZiR4wGk+iaXLJVct+j6RMQVXSQaOnMybSWGRENEmlTV5CBsezWhqpbnDRIN/TmKaNNnSizVZxpDLNUfVf8sEkvDsEe05XP1fadNrIhIe+rp54YKVbZwdeisGT1/n0364y3aRHXmLYXMrgUNMxXjtIpo6+4Xn+MBSDT053g/Ew1ZApndrl+WPu53wGwzZdfd9AfbA4skGvqQEW36TIml+kz7GUv1R9N/i8TSMD4YdNGWR81lpZ/P7pH2GbLhSLaqVqSDwnhzuFVv0UalbaRbEG3lU1WWTE6ef7rZ4e67ksab99vf5G1UQqJRztK3Ra8TjaIlkLMOPtz041w1X15l7Uk0ygj5f45o82dWdgextIyQ/+e9jqX+PWzWHcTSMP4aVNEWhlazrHqLNt5pQ7TVmeJlG5WQaNShm39vrxKNvLPVmroEspsXSDT05yiiTZ8psVSfaa9iqX7P47RILA3jl7aKtrJzpPuxcYi2h71Fm3SA3SOHu4FKm9+0zG5U8sakSWZ9Z6OSVz91kiHR8GPp0jp0oiFLIJ94fGWyuYi9mr4EEtHmMrP02iDa9FhaS8RSfaahY6l+j+O2iGgL45+2irYwNOOyWkm0xTWE/vcG0VbNB6OefaazZPKMYRuVbLfkH82G3fYwGze/Uc0od40gECLR2LRxY2dTkSeGva8mu0BOm7632Xf/2Ub+PKgXiYa+ZxFt+kwRbfpMQ8RS/V42xyKxNIyvEG1huMZgFdGm4AVEWz2I6Y1KzOTJ5tWzzjbrT/u0kQocV30CmolGt/fVYj5brT7Fty2QaGjS3GYL0abPFNGmz1Qzlur3rnkWiaVhfIZoC8M1BqvOos2eVSBntHW75NC5tl2ItvoelyWTE65eaETAySXHAsjxAHJMAFc9AhqJhhVrshTSXoP4vpoLaRINF0p+bRBtfrxcWiPaXCj5tdGIpX5PHOzWxNIw/kW0heEag1Vn0RZDZ2PtA6JNzzO/85Mfmu3O+YwZvfzRxKgcyC0Hc3c7203v6YNpqU6isebFXyfnq6XFmlTU9nn/vslOkG28SDT0vY5o02eKaNNnWieW6vem+RaJpWF8iGgLwzUGq96ireh8Ag7XjsGdze+DTTTGLvyfZqfrrzVSgZNlkhs+t8C8cubZzR9gH0ZQJdGQTUUefuiBEZuLyLb9g/y+mot7SDRcKPm1QbT58XJpjWhzoeTXpkos9XtCu1oTS8P4G9EWhmsMVtVEG4drx+DO5vchnWhkNyopOtut+aMOOwKfRCN7GHZbNhfx8QCJhg8tt7aINjdOPq0QbT603Nr6xFI3i+1uRSwN439EWxiuMVhVE215p4bHMMBe9IHlkXqU8xKNsrPd9J4+mJZcEo08sTYoh2Fre5VEQ5soG5HoEzUcnxIAqkssDfDYgTVJLA3jWkRbGK4xWHUSbXnnsuV1fuH5p5m5x8yJYVw97QOiTQ930U+H7dluLJn0Z90t0SgSa23ZCdKfpjEkGlWodb+HSps+Uypt+kwRbbpMiaW6PK01RFsYrjFYdRJt6Y4WvdMWw2D61QdEmx75skQj72y3l8+9kF0mu7ggL9FArFWfsyQa1dkV3Ylo02daFkv1nzj4FhFtuj4mluryRLSF4RmTVW/RFlPnY+kLok3PE66Jxg5332UmXXSuEREnl2xSIpuVcLbbSF/YREO27ZcNRh750QNG/iyXvLMmyyCprLnPYRINd1auLRFtrqTc27nGUneLtES06c4BYqkuT0RbGJ4xWUW0KXgD0aYA8S0TPomGXTI54aqFyd3sMpnvhx1HbTTL/v3H5onHVwyJtbaesaYxU0k0NCgOt4Fo02fqE0v1nz6YFhFtun4lluryRLSF4RmTVW/RtnzVajPvrEsKx8Dh2jG5t3l9qZJosGQy389STXuyI9R+9sRKs27duqSRiLXZhxze2jPWNL4RJBoaFBFt+hSHW6wSS0P3qen2EW26HiSW6vJEtIXhGZNVb9F25Nz5Zs4hM82hsz5gvrD4VnPfHYuS8Xz85AXmI0fONvNPPTGm8fWkL1Ta9DDXSTRYMrnND1asZStriDWdeUqiocMxbYVKmz7TOrFUvzeDYRHRputHYqkuT0RbGJ4xWfUWbXYjkt+durv57xd8cUi0yQ6TaREX0yBD9wXRpke4bqLR5iWTRWLtox/5kBk74Z16Tmq5JRIN/QmAaNNnWjeW6veo+RYRbbo+JJbq8kS0heEZk9XKok229hcBZ5dDcrh2TG5tbl+0Eo22LZl85KH7R7yzZitrJBq63wcSDV2eYg3Rps9UK5bq96y5Fomlur4jluryRLSF4RmTVW/RJssgP7DPVHP5hacnSyLtnzlcOya3Nrcv2olG9mDuVz91kll/6VUDs8tkduv+vHfWSDR0vw8kGro8EW36PMWidiwN08tmWSWW6vqLWKrLE9EWhmdMVr1FW7bzUm2z19LrLjYzZ0yPaXw96QvLI/Uwh0g08g7mfuWMzhEB5y7Q63iPLbmItXQAZ47qOYhEQ4+ltUSlTZ9piFiq38tmWUS06fqLWKrLE9EWhmdMVmuLtpgG06++kBDrkQ+ZaGSXTG7dc6pZt+j6Rh3MXeVQbBINvfkplkg0dHmKNUSbPtOQsVS/t82wSCzV9ROxVJcnoi0Mz5iseos2uxGJvNPGtY0Aok1vJvQi0cgumdx4xFGJeBMRF+tVRaylAzhzVM+zJBp6LK0lRJs+017EUv1ex20R0abrH2KpLk9EWxieMVlFtCl4g4RYAeJbJnqZaMih3Dtdf62R5ZNyMLcsmZRf8udYrjpiDdEWxoskGvpcEW36THsZS/V7H6dFRJuuX4ilujwRbWF4xmTVW7S1+Ty2Isch2vSmdK8TDRFsE67uiLfF1yaDEMEmG5XIhiX9vH753LPm4YceMPK7XBMmTjKzDj7c7DNjpne3SDS8kXW9gURDl2cyv8ePToxueG2LvvGWWux1LG0DZmKprpeJpbo8EW1heMZk1Vu0LV+1etj5bDENpl99QbTpke9XoiFLJne+6jIjv8slSyZfPvfCnr/vJmetPfKjB4xU2OqKtXQAZ47qzVESDT2W1hKiTZ9pv2Kp/kjisYho0/UFsVSXJ6ItDM+YrHqLtvRukXkDsee2xTTI0H0hIdYj3O9EY8ev3NKpvF1mZNMSuaTituFzFwZ/3y1PrO3z/v3M3p1fUmWrc5Fo1KE38l4SDV2eyQ8nqLSpQ+13LFUfUAQGiaW6TiCW6vJEtIXhGZNVb9EWU+dj6QuiTc8TMSQaRUcEhHjfLSvWhKQsgZSlkHXFWjqAM0f15iiJhh5LawnRps80hliqP6r+WkS06fInluryRLSF4RmTVW/RVrR75KKbbje33fVdc98di2IaX0/6QkKshzmmREOqbZMuOtfscPddyQBld0mpumm97/bIQ/ebJx5fYUS4hRBriDa9eZm2RKKhzxXRps80pliqP7r+WES06XInluryRLSF4RmTVTXRdse9y8yCK240LI+Myb3N60uMiYb2+27ZHSG1K2tZr5No6H4PSDR0eYo1RJs+0xhjqf4oe2uRWKrLm1iqyxPRFoZnTFbVRNsFl91glj20PLpKmxWTWehpcSk7Yj719HNJk72m7WG+vmThsOZln1Np05vSMSca8r7bxE7lTZZPyvX6cceblzo7Tbqe75a3ff/RHz7WvHuPPfUA5lgi0dDFS6KhyxPRps9TLMYcS8OMOLxVYqkuY2KpLk9EWxieMVl1Em1Fwic7kIXnn2ZiO3Rb+v6FxbcWislTzrnSrFm7fkioiUCbsstEc/M15yXDK/tc2iDa9KZ07IlGlffdZPnj979zj8r2/VVIk2hUoVZ8D4mGLk9Emz5PRFsYpsRSXa7EUl2eiLYwPGOy6iTa0h0ueqctpkGl+1Im2o6cO9989sxPDonNbPuyzxFtup6PXbTZ0cr7brLLpFTf5JLz3TZ8boF55cyzh4CE2L6/Cm0SjSrUEG261LpbY3mkPu2mxFL9kYezSCzVZYto0+WJaAvDMyar3qItps679CWvSmiXRsqZc/POusQsve5iM3PG9MRc+t/k790+t/dQaXPxhFubpiUa2ffdNu+3v/n5ZVebB197eeisNRn57EOOUNm+343i8FYkGlWoIdp0qSHaeslTntW0WNprPlWeRyytQo1Yqkut3JrMU67BJDDwoi3rtvRyRy3RtuHVzYM5O/owqvHjRptNW7aarVvf7MPTqz9y1H3fNzuccZp56N3vNg8edphZN3lyYmzfjoj7vcOPNBM7lbh+XRN2HGOYo3r0R43azowdPcq8tnGLntGWWxo7ZvuEwKbNb7SchN7wmxpL9QjoWyKW6jIllurytNZknnINJoFKok2WDK5dtyGXSOy7R1qhJv1EtMU3qZuaaKxc8Zj59wfuM+vf2qTkfY8/bo65916z0x+dYDZe9TfmzUnbRFw/LhINXeokGro8xRqiTZ9pU2OpPgk9i8RSPZZiiViqyxPRFoZnTFa9RVt2o46YBuPSl+zRBHnvrKWPLij7XJ7J8kgX8m5tmrakR95b+9bdXzNrXvx1MkA5EFsOxp59151mwlXbdiGV993kYO4Qh3O7UGVJjwsl9za8h+HOyrUl77S5knJv17RY6j6y/rUkluqyJ5bq8rTWWB4ZhmsMVr1FW9M2IhHRlT7w23d3SHaP7O00bUqi4bLJSPZw7rzNSnpBl0RDlzKJhi7P5Icd40cnRje8xpJTLbpNiaVa4+2FHWKpLmViqS5PRFsYnjFZHXjRlj5jTcAfOmvG0Hb+1hFl57CVfU6lTW9Kx55obNq40ax49Mfm4YfuHxp02SYj2c1K5Fy3dYuuNxuPOEoPXBdLJBq6mEk0dHki2vR5isXYY2mYUYe1SizV5Uss1eWJaAvDMyar3qJNBMxHjpxt5p96Ykzj6GtfEG16+GNONLKHY+8zY2ayFFKWRLpcIt4mzz/DSAVOLhFtL597YXDxRqLh4h33NiQa7qxcW1JpcyXl3i7mWOo+irhaEkt1/UEs1eWJaAvDMyar3qKt7NyzmAbXq74g2vRIx5hoyPtq8t6aLImUS0TaH86d5yzWsnR2Wnxt54y3hUYO6u6FeCPR0JufYolEQ5dn8p1ieaQ61Bhjqfoge2yQWKoLnFiqyxPRFoZnTFa9RZu809btin33yBDwEW16VGNKNFzeW6s6chFsO11/bfLLirdXP3VS54DuC40sn9S8SDQ0aSLadGlus4Zo06caUyzVH11/LBJLdbkj2nR5ItrC8IzJqrdoi6nzsfQF0abniVgSjUc676xl31ub1TkgW/vKircQO02SaOh6jURDlyeiTZ+nWIwlloYZXX+sEkt1uRNLdXki2sLwjMkqok3BG4g2BYhvmeh3olH3vbWqJOQ9twlXX2Z2/MotiQlN8UaiUdUr+feRaOjyRLTp80S0hWFKLNXlSizV5YloC8MzJquVRFt6N8WF559m5h4zx8iyybydGWMabKi+INr0yPZLtOWdt1bnvbWqRLI7TWqINxKNqt5AtOmSK7bG8kh90v2KpfojiccisVTXF4g2XZ6ItjA8Y7LqLdrS55ylD55edNPt5ra7vjvsTLSYBhqyL4g2Pbq9TjRCvrdWh0qeeFt/6VVG3nvzvUg0fIl1b0+ioctTrCHa9Jn2OpbqjyA+i8RSXZ8QS3V5ItrC8IzJqrdok4ra0usuNjNnTDdp0Sa7Si644kbDRiQxubd5fellorH8pz82Kx97eGhXyLLz1vpBM++MN9msxEe8kWjoeo5EQ5cnok2fp1jsZSwNM4L4rBJLdX1CLNXliWgLwzMmq96iTYTa31/+mRGijUpbTG5tbl96kWg8vfpJ88Nl/zYk1nzPW+sH3R3uvstMuujcSme8kWjoeoxEQ5cnok2fJ6ItDFNiqS5XYqkuT0RbGJ4xWfUWbRdcdoNZ9tDyZBmkrbT97tTdzbyzLjEnfPRwc/mFp8c0vp70heWRephDirZYl0L60JONSmTDEp8Dukk0fAiXtyXRKGfk24Llkb7EytuHjKXlTx/MFsRSXb8SS3V5ItrC8IzJqrdok87bpZDpgZx50glm/qknxjS2nvUF0aaHOlSikd7Cf+y4cWbmAQeZEFv465EotpR3xtvGI44yL597oZHfsxeJhq5XSDR0eYo1RJs+01CxVL+nzbFILNX1FbFUlyeiLQzPmKxWEm0xDSCGviDa9LygnWj0awt/PSL1xRuJhq43SDR0eSLa9HmKRe1YGqaXzbJKLNX1F7FUlyeiLQzPmKx6i7ZTzrnSPPjIqhEbjrDlf0xubW5ftBINWQop763J+2tJUjhxkvmD4/7YTNl1t+bCKeh5WeWNREPX5SQaujwRbfo8EW1hmBJLdbkSS3V5ItrC8IzJqrdok/fYPnH8h0YshWQjkpjc2ty+1BVtmzZuNCse/bF5+KH7h8TarIMPN7LZyKBfReJt3KWfN8/PPHTQh9+z8ZFo6KNmeaQ+07qxVL9HzbeIaNP1IbFUlyeiLQzPmKx6izapqNkDtdMDYcv/mNza3L7USTQGeSmkj0fLKm8+tmg7kgCJhv6sQLTpM60TS/V7MxgWEW26fiSW6vJEtIXhGZNVb9FGpW2k+3inTW9KV0k08pZC/uHcecmSyDZfVrxNuOFLxqxbl6DotmFJm1n5jJ1Ew4eWW1tEmxsnn1ZVYqmP/Ta2RbTpep1YqssT0RaGZ0xWvUWbLINcfMudQwdsy2CWr1qdbPnf1h0kEW16U9on0WjzUkgf4ruP2mg2XP43ZqfrrzUi5BBvPvRGtiXRqMcv725Emz5Tn1iq//TBtIho0/UrsVSXJ6ItDM+YrHqLNul83pb/eUsmYxpoyL4g2vTouiYaLIV0Z24TDZZNujPr1pJEQ4dj2gqiTZ+payzVf/LgWkS06fqWWKrLE9EWhmdMViuJtpgGEENfEG16XihLNPIOyGYpZHf+2USjSLy9Nu9PzaufOknPmQNqiURD37GINn2mZbFU/4mDbxHRputjYqkuT0RbGJ4xWUW0KXgD0aYA8S0T3RKN9AHZ8r5aW3aFrEu3KNGw4m3HpV82o559JnnM1j2nmpdP/7R5rSPe3pjU7ncCi7iTaNSdkSPvR7TpM0W06TNFtOkyJZbq8kS0heEZk9VKok02I1m7bkPuOFZ+b0lM4+tJXxBtepjzEg2WQtbj65Jo7PiVW8yEqy8bEm8i2F454+zkF+JtOH8SjXrzMe9uRJs+U0SbPlOXWKr/1MG1SCwN41uZp1yDScBbtH385AVmyi4Tzc3XnDeYRCqMCtFWAVrBLelEg6WQOlx9Eo1x9//A7HzVZUZ+lwvxNtIHJBo68zJtBdGmzxTRps/UJ5bqP33wLBJLw/gU0RaGawxWvUVb0TltMQymX31AtOmRt4nGv99/n1neOSRbdoiUpZD77j/bzDzwIL0HtchSlUQjT7zJkklZOilLKNt8kWjoex/Rps8U0abPtEos1e/F4FgklobxJaItDNcYrCLaFLyAaFOA+JaJLa/91vyfr95m1q/ftjX9PjNmJu+utf3MtTqE6yQaWfEm/Wj7WW8kGnVmY/69iDZ9pog2faZ1Yql+b5pvkVgaxoeItjBcY7DqLdpkeeRHjpxt5p96Ygz9j6IPiLb6bshbCslGI/W5igWNREM2Ktm5c0j3+M67b20/641EQ2depq0g2vSZItr0mWrEUv1eNdcisTSM7xBtYbjGYNVbtMkZbV9YfKu5745FMfQ/ij4g2uq5IbvRyCG/N8ccMPvweka5e4iAZqKRd1xA23acJNHQ/3Ih2vSZItr0mWrGUv3eNc8isTSMzxBtYbjGYNVbtMk7bd0udo+Mwa3N6INU175199fMmhd/nXR42vS9zbHHHmNGjd3JbNz8RjMG0YBehkg08o4LaMumJSQa+pMe0abPFNGmzzRELNXvZXMsEkvD+ArRFoZrDFa9RVsMnY6tD1Ta/D1SdOYaiYY/y7I7Qicaee+9ySHdcli3vP82aBeJhr5HEW36TIml+kxDx1L9HsdtkVgaxj+ItjBcY7CKaFPwAqLNHWLZmWskGu4sXVv2KtFoy6YlJBquM8+9HaLNnZVrS2KpKyn3dr2Kpe49anZLYmkY/yHawnCNwWol0SbvtS244sZh/V94/mlm7jFzYhhTz/uAaCtH7nrmGolGOUvfFr1ONPLeexukpZMkGr4zsLw9oq2ckW8LYqkvsfL2vY6l5T1qdgtiaRj/IdrCcI3BqrdoW3TT7WbxLXeapdddbGbOmJ6MYfmq1WbeWZeYM086oZW7SiLauk/ldHVt7LhxZuYBB5lZhxyRexOJhn5Y6FeiIeJNdpvccemXzZgVjyUDE/Em5729fuwfNXbpJImG/hxFtOkzJZbqM+1XLNUfSRwWiaVh/IBoC8M1Bqveou3IufPNJ47/0AhxJmLutru+28pdJRFt+VNZqmv/esdSI7/L5XLmGomGfliIIdEoWjop7729ftwJiZhrykWioe8pRJs+U2KpPtMYYqn+qPpnkVgahj2iLQzXGKx6izbZPTJvKaRdMsnukTG4tf99KNpopKxnJBplhPw/jynRGISlkyQa/nOw7A5EWxkh/8+Jpf7Myu6IKZaW9bUJnxNLw3gJ0RaGawxWvUUblbaRbqPS9jaTp1c/aX647N+GqmszDzzI7Lv/bDNholslhURDPyzEmGjYpZM73PMvRqpw9pLdJl8+98KoY+OnVwAAHPNJREFUl06SaOjPUUSbPlNiqT7TGGOp/ih7Z5FYGoY1oi0M1xiseos23mlDtOVNXNeNRsomPYlGGSH/z2NPNES0iXiT999EzMkV88YlJBr+c7DsDkRbGSH/z4ml/szK7og9lpb1P7bPiaVhPIJoC8M1Bqveok06ze6Rw13X9kpbdhv/2Z1NRoo2Gimb9CQaZYT8P29KopG3cYmMNrbqG4mG/xwsuwPRVkbI/3NiqT+zsjuaEkvLxhHL58TSMJ5AtIXhGoPVSqItho7H1Ie2ijaprslSSFkSKde06Xubw+b8vvNSyDwfkmjoz+wmJhpSfdvp+i+ZsZ3fs9W3TUcc2dflkyQa+nMU0abPlFiqz7SJsVSfgp5FYqkey7QlRFsYrjFY9RZtp5xzpXnwkVUmu+GIbFBy6KwZ5uZrzothXD3tQxtFW9WNRsocQ6JRRsj/8yYnGt3efZNjA+T4gF7vPEmi4T8Hy+5AtJUR8v+cWOrPrOyOJsfSsrH143NiaRjqiLYwXGOw6i3a2IhkpNvaJNqqbOPvM9FJNHxoubUdlESj6N03OTJAjg6QZZS9uEg09Ckj2vSZEkv1mQ5KLNUnU80isbQat7K7EG1lhJr7ubdoY8v/doq2TRs3mhWP/tg8/ND9CQDZDVKWQsqSSM2LREOT5jZbg5ZoSPVth7vvNOOX/vOwnSft5iWhl0+SaOjPUUSbPlNiqT7TQYul+oT8LBJL/Xi5tka0uZJqXjtv0UalrX2iTXOjkbKvCIlGGSH/zwc50bDnvu249Mtm1LPPDMGRqluo5ZMkGv5zsOwORFsZIf/PiaX+zMruGORYWjb2EJ8TS0NQ3faDWq7BJOAt2tjyvz2iTWsbf5+vDomGDy23tm1JNPKWTwohbQFHouE273xaIdp8aLm1JZa6cfJp1ZZY6sOkTltiaR16xfci2sJwjcGqt2iTTrPl/3DXDeI7bb2srqVpkmjoh4W2JRpSfRuz4lGz81WXJb+nd5/cvN8Byftv8h5c1Q1MSDT05yiiTZ8psVSfadtiqT7B4RaJpWEII9rCcI3BaiXRFkPHY+rDIIm2bHXt3XvsaY7+8LG1tvH38RWJhg8tt7ZtTjSKdp8UwWY3MBEh5yPgSDTc5p1PK0SbDy23tsRSN04+rdocS304ubYllrqS8muHaPPj1aTWiDYFbw2KaFv+0x+bR350v5FNR2SjkVkHH272mTFTgZC7CRINd1auLUk0tpHSEnAkGq4zz70dos2dlWtLYqkrKfd2xFJ3Vi4tiaUulPzbINr8mTXlDkSbgqeaLtpCb+Pvg5hEw4eWW1sSjZGcugm4siWUJBpu886nFaLNh5ZbW2KpGyefVsRSH1rlbYml5YyqtEC0VaHWjHsQbQp+arJoC3VIdlWsJBpVyRXfR6LRnWmRgJO78jYxIdHQn6OINn2mxFJ9psRSXabEUl2e1hqiLQzXGKwi2hS80ETRFlN1Le0CEg2FCZkxQaLhzrRMwMkZcG8efbQZ9wcfNmvWb3Q3TMuuBBBt+hOEWKrPlFiqyxTRpssT0RaGZ0xWEW0K3miaaMtW12SjEdlwJIaLREPfCyQa1ZimD/FO70KZWJs82bwy778kZ8H5bmRSrTeDfReiTd+/xFJ9psRSXaaINl2eiLYwPGOyimhT8EZTRNsvn3vWfP879xipssk1+5AjzKzOr5guEg19b5Bo1GdqjxHY4Z5/MTt+5ctmu5fWDRmVnSdFuImAe/24483WPafWf2DLLCDa9B1OLNVnSizVZYpo0+WJaAvDMyariDYFb8Qu2mQ3SNkVUnaHlEt2hvzDufN6to2/D2ISDR9abm1JNNw4ubaSRGPiQw+Y17/1HTP2/vuMHOqdvkS0iXijCudKtBOTxo9OGm94bYv7TbTsSoBYqj9BiKW6TBFtujwRbWF4xmQV0abgjZhFW78Oya6KlUSjKrni+0g0dJlmEw27jHLsA8vMDnffOXSYt32qbGYi78LJL/kz10gCiDb9WUEs1WdKLNVlimjT5YloC8MzJquINgVvxCjasodkx1xdS7uARENhQmZMkGjoMi1LNKTyJhW4vCpceinlpjlHdZZV7q/buYZaQ7TpO45Yqs+UWKrLtCyW6j6tPdbYPXJwfY1oU/BtbKKtadU1RJvCJOxigkRDl69PoiFVuLEdETfugfs6Vbi7zKhnnxnWGRFxmzrVt42HdypxLRZxiDbdOSrWEG36TImlukx9YqnukwfbGqJtcP2LaFPwbSyiLVtdkx0hZWdIqbI15SLR0PcUiYYu0zqJRnoppVTk8kSc3dRky8z9W7MzJaJNd44i2vR5ikViqS7XOrFUtyeDZQ3RNlj+TI8G0abg2xhEW7q6NnbcODPr4CPMzAMPUhhdb00g2vR5k2joMtVMNES0JcspO+/D5Yk46bksoUyqcPvOTN6JG8TdKRFtunMU0abPE9Gmz1Qzlur3rrkWEW3N9V1ZzxFtZYQcPu+naMtW16ZN39scNuf3G1VdSyNGtDlMOM8miDZPYCXNQyYathI3ZuVyM3bZD8yYFY+N6E16SeWgVOMQbbpzFNGmzxPRps80ZCzV721zLCLamuMr354i2nyJ5bTvl2hLV9dkCeSsgw83+8yYqTCi/plAtOmzR7TpMu1lomHPhxu9/LHkvTh5P07+LXtJ9U2qcFKNa6KQQ7TpzlFEmz5PRJs+017GUv3ex2sR0Ravb+r2DNFWl2Dn/l6Ltmx1TYSaCLYmvbtWhB3RpjAhMyYQbbpM+51o2CWVtho36ufPlAo5EXWy4YlU6WK8EG36XiGW6jMlluoy7Xcs1R1NPNYQbfH4QrsniDYFor0UbYNYXUu7gERDYUIi2vQhpizGmGjIMspkOWVnWeWY5Y+aIiFnl1aKiJOq3OaZB5it753adzGHaNOfssRSfaaINl2mMcZS3RH2xxqirT/ce/FURJsC5V6INqmuff8795hfPvds0uNBqq4h2hQmYRcTJBq6fJuSaIiQEwEnQk6WV45Z8WhuRU7oJCKus+FJv8Qcok13joo1RJs+U2KpLtOmxFLdUYe3hmgLz7hfT0C0KZAPLdqW//T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d48/dQwACEIAABCAAAQhAAAINJ4C0NXyA6B4EIAABCEAAAhCAAAQg0N0EkLbuHn/uHgIQgAAEIAABCEAAAhBoOAGkreEDRPcgAAEIQAACEIAABCAAge4mgLR19/hz9xCAAAQgAAEIQAACEIBAwwkgbQ0fILoHAQhAAAIQgAAEIAABCHQ3AaStu8efu4cABCAAAQhAAAIQgAAEGk4AaWv4ANE9CEAAAhCAAAQgAAEIQKC7CSBt3T3+3D0EIAABCEAAAhCAAAQg0HACSFvDB4juQQACEIAABCAAAQhAAALdTQBp6+7x5+4hAAEIQAACEIAABCAAgYYTQNoaPkB0DwIQgAAEIAABCEAAAhDobgJIW3ePP3cPAQhAAAIQgAAEIAABCDScANLW8AGiexCAAAQgAAEIQAACEIBAdxNA2gKM/1trPgoQhRBJAvtM3M2sXrfZ9G7fAZzABEaPHGbG7D7SrFm/OXBkwgmBCWNGmS1be82Hm3sBokBgv713N/zcVQAbhdxj9HAzauRws3bjFp0Gujzq3uNGm40fbTWbt27vchLhb3/4sB4zafxo8+77m8IHJ2JMQH72crWOANIWgD1vHgJATAmBtOlwlahImx5bpE2XrX3jwM9dHc5Imw5XGxVp0+OLtOmxtZGRNn3GeS0gbQH48+YhAESkTQdiRlSkTRc3mTZdvmTa9PgibXpsJTLSpscXadNji7Tps/VpAWnzoVRQBmkLABFp04GItA0pV9sY0qaLHWnT44u06bFF2nTZIm26fCU6mTZ9xnktdI20LV/5iplz6XXm3luvNtOnHjyAyVnnzTcvv7oq/tohB002DyxaUOp1pE3nIWZ6pA5XiUqmTY+tREbadPkibXp8kTY9tkibLlukTZcv0qbPt6iFrpC2mbPnmvfWbohZJKXt/Hk3mjXvre8XNRG4vfcaZ+6++cq4fNHrUgZpK3rMqr2OtFXj5lMLafOhVL0M0ladnU9NpM2HUrUySFs1br61mB7pS6p8OaStPLOyNci0lSUWtnxXSJsgy8q0idBdfslXzexZM2Kyi5csMzfddp95dPHC+N9FryNtYR9INxrSpscWadNjK5GRNl2+SJseX6RNj61ERtr0+CJtemxtZKRNn3FeC10tbWki535NwCWnVKbVIdOm8xAjbTpcJSrSpscWadNlK9GRNj3GSJseW6RNly3SpsvX/uzVb6WvheTMt6FqN0Q7eUuy6sRH2hLr3MpK25/8iTHLnthaZwyom0Fgz91HmA839ZodOzinLfRDMnx4jxk1Yrj5aPO20KGJFxHYbdTw+HzBrds4i0njgRi7x0iz4UN+7mqwHTlimJE3v5u2cMagBt/dR48wW7b1mt5efq+F5tvT02P22G24+eAjfq+FZmvjyc/eUJcsP3rqmZUDwu01YWz/TLdWSJvMtpt/w51mwVUX9s/Aq3K/SFsVak6doqya3ZykrLRFPyPM+g9481BzeFKrI20aVPtiIm16bCUy0qbLF2nT44u06bGVyEibHl+kTY9taGmbdsp5xhU0G19Ebp9JE831376YTFvKcHZ1pk14pK1ZE8tesXRRjKvodZG2J5/ZZKYcwF/NQv+4YHpkaKK74jE9Uo+tRGZNmy5fpkfq8WV6pB5bicyaNj2+TI/UY2sjh1jTJmL20itv9mfUsnptM23yus3IZYmem7FzNxyU9/Azjptulj29vH9DwkvOPdNMmfzxOKNmL1snLcGTzAhK/bkXnB1vVJjMFFp3INNW81nMAli0O2TR60hbzYHJqY606bFF2vTYIm26bCU60qbHGGnTY4u06bJF2nT52p+9dVuRLNuZp50UZ9PyLnscl5UkKSsSdujB+2fu8L7wrp+a2+55cEDiRXaPt1JmX09Ow5TYctxX0hWSgimv33LHj+P25bXLLvpK/zFi0t+sOHWZ2fpdkWlzt/yXG0+aep1z2kTafvLAZnPiyaxdCfVQ2jhIW2iiu+IhbXpskTZdtkibLl+kTZcvmTY9vkibHlsbuW6mzUqRz5qxtDVt3/ru7eb3L76WKli2j/Ke/5wzTo2zYTbTZgUxLYEjMSUTJ7vGpy2R8umrtC1CeP9DjwyKkzwbus4odYW01QFUVBdpKyJU/XWkrTq7oppIWxGheq8zPbIev6LaZNqKCFV/HWmrzs6nJtLmQ6laGaStGrcytZokbXbTkLT+2+xclrS5IpYlW3947a14CqWd8pjWTjIpJGWkPNMjyzxVQ1hWpO2WhVvMOV9jp63Q2JG20ER3xUPa9NhKZKRNly/SpscXadNjK5GRNj2+SJseWxu5rrRJnDLTI/fea1z/VEip62barLQVSZWsaUtm2kJIm9zH8cdM7e+fOzUTadN/Fiu1gLRVwuZVCWnzwlSpENJWCZt3JaTNG1WlgkhbJWxelZA2L0yVCyFtldEVVkTaChHVLhBC2oo2IhExy9o9Mm16ZN70xTqZNoElZzWnxU8TRqSt9uOlH0Ck7fIrtpp5V3AuSGjaSFtoorviIW16bCUy0qbLF2nT44u06bGVyEibHl+kTY+tjRxC2iRW2pb/VoTsJiVFa9okjt3B0c22idgdf8wR8TlrdaRN1qJJH95bu75/p0u7EYlsQJIUOrknuZgeqf8cVm4BaauMrrAi0laIqHIBpK0yOq+KSJsXpsqFkLbK6AorIm2FiGoVQNpq4cutjLTpsQ0tba5wub12s1o+0pYVxz22q+r0SLuBiLtZobRn+yhy+ODDj/d3X9bR2Z0rmR6p/yxWakGkTdazybo2rrAEkLawPN1oSJseW4mMtOnyRdr0+CJtemwlMtKmxxdp02OrIW36ve28Ftg9suaYirTNOr3X3PVDpK0mykHVkbbQRHfFQ9r02CJtumwlOtKmxxhp02OLtOmyRdp0+dqfvfqt0EIWAaSt5rMh0iZntMlZbVxhCSBtYXm60ZA2PbZImy5bpE2XL9Kmy5dMmx5fpE2PrY0cak2bfk87swWkrea4irRNO3K7eXgp0lYT5aDqSFtoorviIW16bJE2XbZImy5fpE2XL9Kmxxdp02OLtOmz9WkBafOhlFNGpG3KATvMk89sqhmJ6kkCSJveM4G06bFF2nTZIm26fJE2Xb5Imx5fpE2PLdKmz9anBaTNh1KBtMnLq1Z/VDMS1ZG2oXsGkDZd1mxEosuXNW16fJE2PbYSGWnT44u06bFF2vTZ+rSAtPlQQtpqUqpWnUxbNW4+tZA2H0rVyyBt1dn51ETafChVK4O0VePmWwtp8yVVvhzSVp5Z2RqsaStLLGx5pK0mz09+0phXXzXx9EiZJskVjgDSFo5lMhLSpsdWIiNtunyRNj2+SJseW4mMtOnxRdr02NrISJs+47wWkLaa/I8+2pjnnjPxRiSyIQlXOAJIWziWSJsey7TISJsub6RNjy/SpscWadNli7Tp8pXoSJs+Y6RNkfGppxqzdKmJt/yXrf+5whFA2sKxRNr0WCJtQ8vWvnF4aw3riDXII20aVHfFJNOmxxdp02NrIyNt+oyRNkXGX/6yMYsXG3PLwi3mnK/1KrbUfaGRNr0xZ3qkHluJTKZNly+ZNj2+SJseW4mMtOnxRdr02HaTtE075TxzyEGTzQOLFugDLdkC0yNLAksWv+wyY77/fWOu+c5Wc9El22pGo7pLAGnTex6QNj22SJsuW4mOtOkxRtr02CJtumyRNl2+9mevfiuta2HhXT81//job817a9ebv77+MjN96sGt60xKy0hbzeG49tpI2K4x5vIrtpp5VyBtNXEOqI60haQ5MBbSpscWadNli7Tp8kXadPmSadPji7TpsbWRO3165FnnzTdfnHmseXbFS2afSRPN9d++WB9qiRaQthKw0oouWmTMN75h4qmRMkWSKxwBpC0cy2QkpE2PLdKmyxZp0+WLtOnyRdr0+CJtemw1pE32g2jFdcop6a0uX/mKmXPpdebeW682f3jtLXPTbfeZRxcvbEUXM9tE2moOh6xnk3Vts07vNXf9EGmriXNAdaQtJM2BsZA2PbZImy5bpE2XL9Kmyxdp0+OLtOmx1ZC2iRONWbtWv8/JFt5/P1p3PmFwu3ZqpF3LJmvbROCaNEUSaav5vMhfCmQHSdk5UnaQ5ApHAGkLxzIZCWnTY4u06bJF2nT5Im26fJE2Pb5Imx5bDWmT986tuB55JL1VOzVy7gVnxwXOn3dj46ZIIm01nxg5WFsO2JaDteWAba5wBJC2cCyRNj2WaZHZPVKXNxuR6PFF2vTYSmSkTY8v0qbHVkPa9Hvr34KdGpmssdeEsY2aIom0+Y9paklJ7UqKV65Vqzk3qCbOAdWRtpA0B8Yi06bHViIjbbp8kTY9vkibHlukTZct0qbLV6J36kYkyamRlqRMkVxw1YVm9qwZ+nA9WkDaPCAVFenp6Sux8g+bzLjxO4qK87onAaTNE1SFYkhbBWglqiBtJWBVKIq0VYDmWQVp8wRVsRiZtorgPKohbR6QahbpVGmbOXuuOeeMU42dGmkxyRRJue6++cqa5MJUR9oCcDzgwB3mjdd74umRMk2SKwwBpC0Mx7QoSJseW4mMtOnyRdr0+CJtemwlMtKmxxdp02NrI3eqtOmTC9MC0haA40kztpsnHhsWb0QiG5JwhSGAtIXhiLTpccyKjLTpMkfa9PgibXpskTZdtkibLl+JjrTpM85rAWkLwP9Lf95rlvz98HjLf9n6nysMAaQtDEekTY8j0jb0bO0bh7fWsIZYgz7SpkF1V0wybXp8kTY9tjYy0qbPGGlTZnzxpdvMHbeNMNd8Z6u56JJtyq11T3ikTW+smR6px1Yik2nT5UumTY8v0qbHViIjbXp8kTY9tkibPlufFsi0+VAqKPPvr9xqbvreyFjYRNy4whBA2sJwTIuCtOmxRdp02Up0pE2PMdKmxxZp02WLtOnytT979VuhhSwCSFuAZ+Pue7aYC74+Kp4aKVMkucIQQNrCcETa9DhmRSbTpsscadPji7TpsUXadNkibbp8kTZ9vkUtqEibbJ353toNqW2vWLqoqE9t9/p/f3Cz+YuzRsebkMhmJFxhCCBtYTgibXockbahZ2vfOLCmTYc90qbD1UZleqQeX6RNj62NzJo2fcZ5LQSXtrPOm2/23mtcY840GAq8Tz27yZxwzG7xdv+y7T9XGAJIWxiOSJseR6Rt6NkibbrMkTZdvkibHl+kTY8t0qbP1qeF4NLWtNPDfSDULSN/8Z08afc4zKrV7GhWl6etj7SFIjk4Dmva9NhKZKZH6vJleqQeX6RNj61ERtr0+CJtemyRNn22Pi0gbT6UCsqItEmmjQO2A8B0QiBtYXm60ZA2PbZImy5biY606TFG2vTYIm26bJE2Xb72Z69+K7SQRSC4tMn0yC/OPNbMveDsrqEu0iZr2jhgO+yQI21heSJtejyTkcm06bJG2vT4Im16bJE2XbZImy7fTpa25StfMXMuvW4QwAVXXWhmz5qhD9azheDStnjJMnPTbfeZRxcv9OxC+xcTaZPdIzlgO+xYIm1heSJtejyRtqFja984sBGJDnOkTYerjcr0SD2+SJseWxu5UzcisdJ2761Xm+lTD45v91vfvd0se3p5o3wmuLTJmra8qxN3j5Q3Dzd/b0R8VtvlV2w1867ggO0QPzqQthAU02MwPVKPrUQm06bLl0ybHl+kTY+tREba9PgibXpsu1HaJAk1/4Y7TZO8Jbi06T8yzWtBpO3+Hw03l83lrLaQo4O0haQ5MBbSpscWadNlK9GRNj3GSJseW6RNly3SpsvX/uwN1crSV5eGClUqzikHnTKofFqm7fx5N8bl7r75ylLxNQsjbQHoirTJejbOagsA0wmBtIXl6UZD2vTYIm26bJE2Xb5Imy5fMm16fJE2PbY2csjpkRNvnGjWblqr3+lEC+9f+b6ZsNuEAV/NWtN2yblnNmqPDhVpsylFl0jTFvOFfEpE2mTnSNlBctz4HWblHzirLQRfpC0ExdEo6MsAACAASURBVPQYSJseW6RNly3SpssXadPli7Tp8UXa9NhqSNupf3OqfodTWnjkXz8y6KtpmbaumB658K6fmtvuedC4i/ksjKYZa6inxS6In/qp3cz6dT2xtIm8cdUjgLTV45dXG2nTY4u06bJF2nT5Im26fJE2Pb5Imx5bDWnT761/C2nSJrVlnw7XZ/wj6pQMnmmbOXuuOeeMUwelE0Xm7n/okUbtwhIKqZW2004ZbVY8P8z85IHN5sSTt4cK37VxkDa9oUfa9NgibbpskTZdvkibLl+kTY8v0qbHthulzSahOnojErHStKmQTUwzhnq8rbSx7X8oon1xkLawPN1oSJseW6RNly3SpssXadPli7Tp8UXa9Nh2i7QlCTZJ2KRvZNoCPONW2uy2/xddss1c852tASJ3dwikTW/8kTY9tkibLlukTZcv0qbLF2nT44u06bHtdGnTJxemheDS1s1r2uRwbcm2ydRImSLJVY8A0laPX15tpE2PLdKmyxZp0+WLtOnyRdr0+CJtemyRNn22Pi0ElzZptBt3j5T7lvVssq5t2pHbzcNLkTafBzCvDNJWl2B2faRNjy3SpssWadPli7Tp8kXa9PgibXpskTZ9tj4tqEibT8OdVMZOj5R7YgfJcCOLtIVjmYyEtOmxRdp02SJtunyRNl2+SJseX6RNjy3Sps/WpwWkzYdSQRlX2uSAbTlomx0k64NF2uozzIqAtOmxRdp02SJtunyRNl2+SJseX6RNjy3Sps/Wp4Vg0ia7Rso5bHJGW97VtJ1YfCAVlXGl7Zq/HGnuuG1EvBGJbEjCVZ0A0ladXVFNpK2IUL3XJ4wZZbZs7TUfbu6tF4jaqQT223t34/7cBVM4AkhbOJZpkZA2Pb5Imx5bpE2frU8LwaTNp7FOLeO+ebj/R8PNZXNHmVmn95q7frilU295SO4LadPDjLTpsZXISJsuX6RNjy/SpsdWIiNtenyRNj22SJs+W58Wgktb1jlt3XC4tgC3m5FMOWCHefKZTT5jQJkMAkib3qOBtOmxRdp02Up0pE2PMdKmxxZp02WLtOnytT979VuhhSwCQyZt3XC4toVsNyMRaRN546pGAGmrxs2nFtLmQ6l6GTJt1dn51ETafChVK4O0VePmW4tMmy+p8uWQtvLMytaQn71crSMwZNL2re/ebpY9vdw8unhh6+5WqeXk2go5q03ObLtl4RZzztdY01IVO9JWlVxxPaStmFGdEkhbHXrFdZG2YkZVSyBtVcn51UPa/DhVKYW0VaFWrg7SVo5X6NJBpC3tXLa0ji646kIze9aM0PfQ8nhJabPr2kTYRNy4qhFA2qpx86mFtPlQql4GaavOzqcm0uZDqVoZpK0aN99aSJsvqfLlkLbyzMrW6AZpk2VeyaspmygGkTb35rLWtJV9MNqpfFLaWNcWZvSQtjAc06IgbXpsJTLSpssXadPji7TpsZXISJseX6RNj62N3MnSZhNQshP+3AvO7ocpMwXluv7bF+sDLmghuLS1/I5a0IG0radPOGY388brPZzXVmM8kLYa8AqqIm16bJE2XbYSHWnTY4y06bFF2nTZIm26fO3PXv1WWtPCzNlzzTlnnDpA2FrTk+xWkbYAI5ImbbLtv0yTZIpkdcBIW3V2RTWRtiJC9V4n01aPX1FtpK2IUPXXkbbq7HxqkmnzoVStDNJWjVuZWiEzbe8+/XSZpoOV3ee44wbFWr7yFTPn0uvMvbdebaZPPThYW6EDBZc2e+NZHW3KvNCQINOk7YnHhpm/OGt0vHskW/9Xo420VePmUwtp86FUvQzSVp2dT02kzYdStTJIWzVuvrWQNl9S5cshbeWZla0RUtp+csIJZsuGDWW7ULv8Xzz5pBk1duyAOO2yw31waZP04ozjppvjjznC3HTbff27RZ513nzzxZnHNjrtWPVJSJM2icUUyapE++ohbfX45dVG2vTYSmSkTZcv0qbHF2nTYyuRkTY9vkibHlsbOaS0/eK88/Q7nNLCFxYtGvTVrs202Y1IPnXgfub/+NYt/dImFutKXEtGSqnRLGljF8l6wJG2evyQNj1+RZGRtiJC9V5H2urxy6uNtOmxRdp02WpJ20dvv6Xb8TaK/qkjP9VGvS3XVZt0asKGI1k9D55pc3ePlM/tdMh2ST2WG+K+0lnSJhuRSLZNLg7aLk8WaSvPzLcGmTZfUtXKIW3VuPnWQtp8SZUvh7SVZ+bW2LZxo9m6Yf2gIL0fbDTboq+P22OU+WjLNrN12/YBZTa983Zuw1ujuL0bi6eSSTtbS0w52xbFlD5XvTa/E15okKSqo6Ff739bsUK/kRa1kLV75MK7fmreend1Z+4eKdMgjzjswPjm3M+76XBt93ljQ5Lq331IW3V2RTWRtiJC9V5H2urxK6qNtBURqv56O0qb+yY/KRGuDKWJT1KW0uRJZEtkyL22iuyUkKPqI0LNVhPY/RP7tboLjWn/y//4PxrTF42OpO3LsdeEsf2zBjXaLBMzeKYt2bh7SF3Td2UpA84tm5VpkzJutu3hpZvNtCMH/nWtapvdUA9p0xtlpE2PrURG2nT5Im16fDWlzcqVzTrJXVhJcoXKfi2ZBbJC1mRhGhFtcDByzMBNDuQ+h+85xowYO86MHNFjent3mO07Bo7hbvt+IndQR0ZxJUbRNTxqe+SY4nI2zoio/IgS5ZPtj943vNBUlSSt6ZFFzLvp9ZBr2rqJW6h7VZe2UB1tcpw8aZN+3/y9Eeam742Md5J8+JHNZtz4xE/rJt9cC/uGtOnBR9r02CJtumwlOtKmxzhP2kS6ksJlZctOy3NFy0qW9nQ3901+UiKSMlT230JaZCspTCOjr1WRHTYi0Xt2kTY9tjYy0qbPOK+F4NLmrmlr7a0NXetF0iY9sTtJzjq919z1wy1D17k2bglp0xs8pE2PLdKmyxZpC8NX1jFtitYjydQ/+VxkSzJcPZs+iNZObTTr31wVNyTiFSqzZeXKZp0kvpUoN5Nkv5bMAlkhqypMYcjVi4K01eOXVxtp02OLtOmz9WkBafOhVFDGR9pkmuRXZo+Op0vKgdvXfmcrGbcCrkhbgIczIwTSpscWadNli7Tl85WsloiWiNhHkYTJ5hUiY3bKobxWNfNlp/5ZeRK5srJlp+W5omXLVZ3upv8kDX0LSJsec6RNjy3Sps/Wp4Xg0tbJ57FlAfWRNqm74nk5cHuUWb+uJ17bdu2CrebEk1njlsUVafP5Fq5WBmmrxs23FmvafElVK9et0yM3vvxinBmzEmY/xl979+1SG2O4AibT/ES2RMJ2nzA++n+c2T7hY/HgiHi1c2ar2hOmVwtp02OLtOmxRdr02fq0EFzaZOcV93w2n060exlfaZP7dDNu8m/Jup0zZxvylvIQIG163xlImx5biYy06fLtVGmzUrbh5ZfMlkjCJCMmGbONL7/gLWSS1RLREhGTz2UqosiYnXIor+VlvjQ3ItF9KtojOtKmN05Imx5bpE2frU8LwaXN3S0yrQP23DafzrVLmTLSJvckmbY7fzDc3PGDEfHncskmJbLe7Yhp22OBk393+4W06T0BSJseW6RNl61Eb1dpiwXspX/aKWIv9mfMfKXMCpmVMJmSOPaQQ2PgYw79dKWNMZKjhbTpPr9Imx5fpE2PLdKmz9anheDS5tNop5UpK232/tPkzb4mO0xOmbLDTJu+w4yPPp+8f99Hkbn9o69b0es0lu79IG16o4u06bFF2nTZtoO0ScZsU5QlkzVlH8jn0UcfMRtzyGHxToVjDz0szpDF/44yZkXZsZDEkbaQNAfHQtr0+CJtemyRNn22Pi0El7as3SPlRPH7H3qkMQfU+cDxLVNV2tz4Tzw2zDy/fJh58vFh8do3mUbpc4ncjR9vzLhxfUI3Lvpc5E7+Hf3u7/s8+lr8WvS1uGybHDmAtPk8AdXKIG3VuPnWYnqkL6lq5ZqSabNyJh/dz7PuStaR7bZPNFUxmrYoQmYzZkMpZUXEkbYiQvVeR9rq8curjbTpsUXa9Nn6tDBk0rZ4yTIz/4Y7DdMjfYalbwrlG2/0mBXLe8y66PNVb/Z9FJl7M/q6XL5il9Zinuy5mbxWZvWQNr9npUoppK0KNf86SJs/qyolh1ra7LRGWWu27rnfxlk0kbSsy82YjYokTaYwhpq+WIVXmTpIWxla5csibeWZ+dZA2nxJVS/HOW3V2YWoOWTS9q3v3m6WPb28cZk2K5NJmK5cyo6YL7/ad2bNIQdNNg8sWjCgeIhMW9XBFLlbty6SvPV9Qrc++lzkLtpMLP6afC5fi1+L/90nhFWuItELndFD2qqMkl8dpM2PU9VSSFtVcn71NKXNZszW/c9nzIaXJIOWvQlInC3bmTWzn++2cxMQvztpXimkTXdMkDY9vkibHlsbGWnTZ5zXQhBpyxKfZMMLrrrQzJ41o7V3nGhd+n7TbfdlyuT58240a95b3y9qInB77zXO3H3zlf2RWiltVWHaLJ1k7azYWdl7441hcdi6Wb00yZsyZXv/tE27Pi9ryibSVnV0i+shbcWM6pRA2urQK64bStp8BU2mNY455PB4rdmenzo0ntbYLpmzYpoDSyBtZYmVK4+0leNVpjTSVoZWtbJIWzVuoWoFkTa3M1lr2kJ1OHScImmbOXuuufySr/bLZlr5dpS2Khyzsnp26mbdjJ5dd2fX5n36sGFmxKjeSPL6dtOUqZrttCavCuOhqoO06ZJG2nT5VpE2O8Vx7XPPGPk/K4PmZs7cTJruHTUnOtKmOxZImx5fpE2PrY2MtOkzzmshuLS19nbKt56WJbRTI+XMuTmXXmfuvfVqM33qwXHwtK91i7SVpZsmeZLZs9M2bSav7JRNm8ETiROZc3fXlN027aYsZfvbTeWRNt3RRtp0+fpIW7w5yEsv9Ala9DFtDZoraBOOOqZjs2dlRgNpK0OrfFmkrTwz3xpImy+p6uWQtursQtTsemlLQnSnQ/pK24YPt4YYi66P8fprPWZttOZOPorIvfPWMPPyK9HxBtF/y3+36zVfUAccuMNMiHbLlI+SoZOPBxzQ9/HA6OP4CX1f78Zr+PAeM2rEcPPR5m3dePvq97zbqOGmd/sOs3XbdvW2urGBsXuMNMmfu6t/+2uz/sUXzbu/XGrWvfiC2SoLe51rZLSd7vjDDjfjDj/c7H30sfHnu++3Xzfiy73nkSOGGXnzu2lLL2wUCOw+eoTZsq3X9PZyFmtovD09PWaP3YabDz7i91potjae/Ozlah0BFWmTKYXvrd2QeldN3z3Sipr0E2lr3YMpLe+5+wjz4aZes2PHwF9uInTr1vaY30UiJ5+//nrf5ivr1paXO5G2A0Xm4v8joZMpmBOMmf6ZXcLXWgo6rSNtOlxtVKRNl+/o3k1m1XPLzbu/+qVZ/8ILRoQteYmQiZjtfcxnzd7Hfjb+nKuYANJWzKhOCaStDr38ukibHlukTZ+tTwvBpS1tow6fjjSlTPJogrQ1bcmjC5geqTN6dTcisTtmykf5P3lsgu+RCXY9nXyUjVTstEz7UefudaMyPVKXL9Mjw/Nd++xvzJrHfhXv6CifJy9ZfzYxErTxfxJNc9y5q2P4XnR+RKZH6o4x0yP1+DI9Uo+tjcz0SH3GeS0El7Z224hEpOzRxQv7GSWls1N3j2ztY+fXel1p82nFil3yPDz5tz1GoSiOyNy0I7f3HWK+U+pkbd2UKGvX1IPMkbaiUa33OtJWj5/UFjGTc9HWLPtlqqRNOPqz8W6OImny+YgxY+o3SgSDtOk+BEibHl+kTY8t0qbP1qeFrpc29ww2AXb8MVMHbOcvX2vyOW0+g9yuZYZC2orY2M1UVjw/LD7vTjZSkSMRfKVOpE3kTSRONkw5Ylqf3Inkiey16kLadMkjbeX5yoHVa6ODq1eLpEUft20YOMXeZtL2Pvlz5pDjjzKrt4wo3wg1CgkgbYWIahVA2mrhy62MtOmxRdr02fq0EFzaRHC+OPNYM/eCs33a74gyTI/UGcYmSJvPnUm2zkrd71cMi9fXidS9ITtl5hxkbnfBtAI3lEKHtPmMbPUySJsfO8mmvbPkZ6m7O8rOjhOOOtZMmvH5QZk0n90j/XpAqSQBpE33mUDa9PgibXpskTZ9tj4tBJe2onPPfDrVbmWQNp0Raxdpy7t7kTaRNzv9UqTOJ0vnZug0plwibTrPrI2KtKXztdk0EbXkujQ5wLpf0iJZE2nLupA2vecXadNjK5GRNj2+SJseW6RNn61PC8GlTda05V1N3z3SB1qyDNJWhVpxnU6QNg2hs2vo5OPk/fvOqis73RJpK37+6pRA2nbRsxuIvP/MbwadlWbXpcmUR/nc90LafEmVL4e0lWdWpgbSVoZWubJIWzleVUqzEUkVauHqBJe2cF1rn0ga0rZ+8zqzbvNas37LOrM++uh77T822rc+5Ro/eoIZN7q9DiXrdGnzFTp3HV3elEs3OydTLfNkDmnz/Y6qVq6bpW3bxo1m9aOPxIdar162dMDatDLZtDzySFu159KnFtLmQ6l6GaStOruimkhbEaH6ryNt9RnWiYC01aG3s24daRM5e3zVr8yTbz1qnv/j78ybG14zb6x/LUCv/EJMGTdY8saNGh8JXnRYmXONj4Qv9WtRWffaf2x0anXiSraRFMssoexmacsbPbuGTj7a6ZZlZO7I6dvN0UcbM3nfkWbN+s1+DwqlShHoNmnLm/bobiBSJpuGtJV65IIVRtqCoUwNhLTp8UXa9NjayEibPuO8FlSkzd1tccFVF5rZs2YYmTaZtjNja28/TOtVpE3E7OZff9fcv/Ke1E5IViyWmRSByuu1SF/aFWftIkFsh8veu/wA7t3et8OiK3pJgYz/7cjj2Ohz+Zq9RDbtv+Vzt2w7ZiCzxlDWz614vsc8v3xYfCadfJR/Z22GcmDk61On9cYZOcnMyQ6XMs2Sqz6BbpC2jS+/aN5/9rfm3Z8/lDrtcd9Zfx6vUctbm1aVNJm2quSK6yFtxYzqlEDa6tDLr4u06bFF2vTZ+rQQXNrcc87cg6kX3vVTc/9Djww4E82ng+1Qpoy0iTjd/OsF5o7n/qr/1k6c/Dlz0uSZ5sTof5GKaZM+M2S3nZbVS5uSuS7qd3KapnxtQzR9073e2PD6oL4n20iKZVOE0sqivQFXFN1soSuJriBmyWGrxdCVOZuZezM6tmBdhsOLuInAichJVm7akc09b27IvlFKNtSp0mbXp/3x0aVGsmv2cqc9Tpp5qvqZaUhbyQeyRHGkrQSsCkWRtgrQPKsgbZ6gahQj01YDXoCqwaVNMmr33nq1mT71YONKm+wqOf+GO003b0Qi8vKVxbP6pz+eM/VcM+9Pv23SpigGGNu2DWHX800aP9q8v2FLnG1zRS8pkEl5FOmUr9lLZNP+Wz6X1+01lFNRpU13rK0UuplDVwjdqaa23q469dYoypq2Nf880ix7Ypux0yyfeGxY/HnaZdfHnXBS/lq5tn3oAne8k6TNbssvZ6e5ouZuyT9p5imBCeaHQ9r0cCNtemwlMtKmxxdp02NrIyNt+ozzWggubSJqf339ZYOkrdszba6wyRvwH89egqwVPPtDvabNyqLtliuKrty5kugKoiuHAyVTd2qqFTo7lTZNAt2MoJQfOWKY+fTHPxVLsZsJtEcUPL6sb4qlfMxaLycbn5x0cp/EicyV3cGytT/6dFtvd2krErV46mOJ3R5D00baQhPdFQ9p02OLtOmyRdp0+Up0pE2f8ZBK27e+e7tZ9vTyeBqkzbR96sD9zJxLrzNnnnaSuf7bF7f2jhVa95ke+Rd/O8s8EW04IlMf7zr9PoTNYxyGWto8ulS7iCt/VuzczKErhO5UU1tvV53wIphcR2nlTz6ue3eiWfHrieaNlyb0rZFbe5Axm6LNatz/IzpW5GxGTqROvtZtVztKW9NFzX2GkDa97yikTY8t0qbLFmnT5Yu06fMtaiF4pk0atFMh3cYvOfdMM/eCs4v605avF0mbrF+7ZtkVsaiRYfMf4k6UNv+79y9phc6uRUyTQDcjKOWjPV6iKaevm+07doTbrTQpcSJ20TXl4+PNiceOM0dMnmLGRwIn3wd2Q5hWr/fzp1yuZLtIW56ofSya8rjPrP/VyO6PTbuQNr0RQdr02CJtumyRNl2+SJs+36IWVKStqNFOez1P2uQN8mn3nRDv3PiTLy+JNhv5XKfdvtr9IG1qaE3aOW3JswGt/NnsX1L87PrAEBvJuFk+K3V2fZ9d29dOstdkaZNdH99d8ncmuZmIrFFrsqi53w1Im97PBqRNjy3SpssWadPli7Tp8y1qIbi0nT/vRvPUMysHbTjSrVv+X/aLfxNv6y+bjtzyhR8UjQevOwSQNr3HQeNw7aT02QyglT6Z7rlieXQswZvRDqO7RQfGu/9XvNVY5HYei2HX9k2Jzgp0Rc9u3jKUG/40TdpkAxERtbej/9M2E2n1GrWyw4+0lSXmXx5p82dVpSQbkVSh5lcHafPjVKcUa9rq0KtfN7i0yTq2c844ddBUyG7ciETexE694xPxKD359ZWsYyv5vCJtJYGVKK4hbb7NJ48giHettAfKT3h1sNBNeM2cGK2NM9FrNrtXdddPm9ETkbNr9kTy7EYtMm3TimAdyWuCtNkDr9/88Y8GnKNmd31sN1Fzny+kzfe7rXw5pK08szI1kLYytMqVRdrK8apSGmmrQi1cneDSJhk1e6C2281u3PL/5qcXmJui/8myVXtgkbZq3HxqtVLa0vonRw2IvMk5clmHgrubnJw0I9q18tD3o6Mc+o5wEJkTkXOzetKOfM1u3lJF9IokT8SuTwAHHsHQKmmzovbOkp8ZWa9mr04QNaTN5zu7fhmkrT7DvAhImx5fpE2PrY2MtOkzzmshuLSRaduFW7JsrGWr/oAjbdXZFdVsmrQl++tm4558fJh5PBK6eNdK5xKJk4O/Tzq5N87E+RwCbqdwisjZNXuyIYtdrydiVyebZ7N0e+0x0UyJZG7PkePM5DEH7Mrq7ZzOWSeLlza27/z8IbN62S/N6ujQa/fa90tnmEkzPm+G+hy1ouev7utk2uoSzK6PtOmxlchImx5fpE2PLdKmz9anheDSJtMgb7vnwf4DtqUTy1e+Em/536k7SKZtRCLb+8s2/7LxiGxAwlWeANJWnplvjaZLW9p92GzcE48Pj7NyaQeBi7wdOX17fG5ciOMGXMnbdezC68Yex2AzeVU2Y3GzeCJx7sYrPtM07c6Pq5ctNds2bOhHJuenydTHSTNPNSPGjPF9JNqqHNKmN1xImx5bpE2XLdKmy1eik2nTZ5zXQnBpk8bStvxPmzLZ2lsP13qatNkNSC4/br6ZF/3PVZ4A0laemW+NdpS25L1J5k0ycHEmLjoEfMXzwwbdvhz4LVMpQ0lcEd84UxdN13xvyyqz5sP3zB83vm9WbXy9P6tnXy87VdMK3sm9h5uvvvZJs33lHwZsKPLmlJHm02f97+aA4/+F+fiBU4u62favI216Q4i06bFF2nTZIm26fJE2fb5FLahIW1GjnfZ6mrTZqZFsQFJ9tJG26uyKanaCtKVJ3Irne8w//Hx45rq4oZI4nzVt7oHpyfV4do2eCOBH0c6Pn1011sx6aW/zsQ9G9t/2H/fcapYcusb8ZvIGszr63F5pxye4m61krcMremaa9DrSpjcaSJseW6RNly3SpssXadPnW9QC0lZEyOP1pLTZqZHy5kikjasaAaStGjefWp0obVkSJ1MpH39seJSJ6xm0Lk5L4nykLW+cijYUef3Eyeb5Pd6Np2m6gldlmqZdXycbqqRN05Rpm2mbrfg8Z1plkDYtssYgbXpskTZdtkibLl+kTZ9vUQsq0iabkby3dtcaC7cTK5YuKupT272elDa7a+RFR33TXDPje213P03pMNKmNxLdIG1VJM6uifuzL/V6bWySNUJVpS1tQ5ERY8dGm4mcEq9Tk/VqRVfWZish1uFJ28mz8dIOQdc+Gw9pK3oKqr+OtFVn51OTjUh8KFUrg7RV41amFmvaytAKXza4tJ113nyz917jzN03Xxm+tw2NmJQ22YBEsm13nX6fmXXwGQ3tdfO7hbTpjVE3SluRxElGzr2Su1PGZ8V5XmWkrWhDEdkBUvOy6+zSjk2om8WTfqdN10wTPdl8RQ5KTx6fkHbvSJveE4G06bGVyEibHl+kTY+tjYy06TPOayG4tGWd09ba29Rt3ZU2+Sv38T/8dLzV/8qL3o7fsHBVI4C0VePmUwtpG0zJHjNg18RlSZxk4WRzE5lamXUVSdvGl180cuj12ud+O2BDkTGHHGb2/8rXzISjjjVytloTL3czFZG60Gfj2Xt2p23ag9D7ZW/iJGO27RH9fJ3Qf5yCr/A1kWmT+oS06Y4G0qbHF2nTY4u06bP1aQFp86FUUMaVNruebdqkz5iH5zwZIHr3hkDa9MYeaStm6+5OueTvhw86YkAycbNO326OmLY9+thrphywoz9omrTZdWoiayJt9hI5+9jMU8zkfzmnsaJWTCu7RNp0zTTRs+fjVVmXl2zdZvfk633r8cbHgieXbMrS9/W+j0nxi8tE65G79ULadEceadPji7TpsbWRybTpM85rIbi0yfTIL8481sy94OzW3tkQtu5K2x3P/ZW5ZtkVhvVs9QcAaavPMCsC0laerUjckr8fZrLOiRNpE3mT4wW+dNpws/uevWb9mnXRgdePmHeW/MzINEhX1CSb5rtOrXxv27+Gu7umPQjdyl7vsA/MW+vWxJuwyNfksHS5QgifS86VP8nkuYIn5Wzmz5VAVwT7vr5LAH2mfrZ65JA23RFA2vT4Im16bJE2fbY+LQSXNjmj7abb7jOPLl7o035HlHGlzZ7PdssXfmDOmXpuR9xfq24CadMjj7TVZyuHe0sGLj4nLloPJ1Jnr2PH/sJ84+RfMuZbhgAAIABJREFUmImvPzCgIVmfNmnG56ODr0+p34EujlC0ps1m9+TIBCt28lGuN6MdN+WyG7O4r0v5+LXovD3tyxVCactKoXzuZgb7/x1Jo73Gxmv/Bk69T2YHXVm09XykEWnTHXmkTY8v0qbH1kYm06bPOK+F4NIma9ryrk7fPfKEH06Nf+HL1EiZIslVnQDSVp1dUU2krYhQ+dd//lfPmhfu+zszeduvzcdGvtUf4Pcf/ql5dO1s89EBp5o/P2ePwvVw5VvuvhpF0haKiJU/iZcmgDbzJ69bCYzL7swAyuc2Cyifh84EhrjPpDzKnx56enrMmJHj+qeUuu0khTLZBzv9NKtvdlpqXt9tRtPn/tLktKiej7wWxaj6OtJWlVxxPaStmFHdEkhbXYL16geXtnrdac/aNtMmv+DlUG35JSibkHDVI4C01eOXVxtpC8M2a0OR8Ycfbib82b8yP1vxp+bBR/aPzogbvDOlrIc78aTeeF2crI/j8icwVNLm36PyJV0hlNoD5a4vQ2gvVw7layKQ8jX3SmYH3Xi74qyNN8niCkOgytrHYZEQ79ixw5T5jq8ipmHuMEyUItEP04r8scGY3UYONx9t6Q0VkjgJAved80OYtJAA0hYAvpW2Fat/Z06794Q4w8YmJPXBIm31GWZFQNqqs5UNRf647Jdm1U9+NGDnR3dDkX0PPchs2dprPtzc9+bBXQ8n6+LcqZTyuj3ku+75cNXvqr1qdoK0NYV4Uh53Hz3cjBwxzLz5/uoB4ugKpCuUyfuw00+z7s/NSGaVcTOVRZzS5LSoThMznkV95nUINIHAjv9Q5s8NTehxZ/VBRdpkXdv8G+4cQGrBVRea2bNmdBa9nXdjpc1uQiJr2WRNG1c9AkhbPX55tZG2cmztzo++G4oUbflv18PJ8QIrnu8ZIHF1zocrd1ftWxpp0xs71rT5s62y9nHi2FHmg03boj/q+J/7WEVM/e9Cv2QVTlV6JVnMMXuMMOs/2FqlOnU8CPyfMy72KEURLQLBpW3hXT81t93zoLn31qvN9KkHx/1evvIVM+fS68wl557ZkbtKWmmTXSNjcZvxvXj3SK56BJC2evyQtnr8skRtxNix0WYip+Tu/FgkbcmeyZlw8v/jjw2PP7qXSNxJ0cHesitl8miBenfYvrWRNr2xQ9r02Epk1rTp8WVNmx5bG5k1bfqM81oILm0zZ88155xx6iA5E5m7/6FHOnJXSSttF/z9V82SVx4yd51+n5l18BmtHdkOaB1p0xtEMm3pbLdt3Bhv0b86mv64+tGlAwrJjo+y86PsAFl0lZU2N17R+XD2aIG+8+G6cz0c0lb0BFZ/HWmrzs6nJtLmQ6laGaStGrcytZC2MrTClw0ubbJ7ZNpUSDtlspN3j7Q7Rz759ZVdfThrqMcUaQtFcnAcpG0XkzxRm3D0Z+OM2qSZp5oRY8Z4D0gdaUs2YqdS/n7FsPicuOR6uBOjLNyR07ebbloPh7R5P4qlCyJtpZGVqoC0lcJVqjDSVgpXpcJIWyVswSoFl7ZuzbSxc2SwZ7I/ENIWnqmNiLSZOJP2zpK/G5RRs6Imh1/L5iJVrpDSlmxfpk8+v3yYyVsPJwInIidC14kX0qY3qkibHluJjLTp8UXa9NjayEibPuO8FoJLW7euabM7R8oWwJJp46pPAGmrzzArQjdKm2TU1j77m76pj8uWmm0bNvTjCSFqLmtNaXPbkaybbGQiAici1y3r4ZA2vZ8NSJseW6RNly3SpstXoiNt+oyHVNqksW7cPfL+lfeYy37xb+K1bLKmjas+AaStPsNulzafqY91MmpZfIdK2pLt26MF+qZSDjcytdK9ZFMTWQfXtx6u18j6uHa8kDa9UUPa9NgibbpskTZdvkibPt+iFoJn2ooa7MTXZSMSu92/7Bopu0dy1SeAtNVn2I3S1ipRc1m3StqS4y3SFu9M+fjw1PVwIm0yhVIO+ZaP7SJxSJvezwakTY8t0qbLFmnT5Yu06fMtaiG4tJ0/70bz1DMrTXLDEdmg5Phjppq7b76yqE9t97pIm2TZJNvGdv/hhg9pC8cyGanTpkdmbc8v9x166qPPqDRF2tIkTjJwTz4uxwsM3tSkXSQOafN5CquVQdqqcfOtxZo2X1LlyyFt5ZmVrcH0yLLEwpYPLm3duhEJ2/2HfTAlGtIWnqmN2AnSJqL2x2h92prof1mr5l6tELUB7Y8ZFR2e22s+3NyrN4gBIq94PpK3ZcPaTuKQtgCDnxECadNjK5GRNj2+SJseWxsZadNnnNdCcGnr1i3/2e4//IOMtIVn2u7SJnK25rFfmfef+Y3Z+PKLAwDZc9Q01qiVHYmmZtqK7qNI4tw1cSfN2G6mHdma3SmRtqKRrP460ladnU9NpM2HUrUySFs1bmVqIW1laIUvG1zaujXTNvWOTxjZ9n/lRW+bcaPHhx+pLoyItOkNejtl2kTU3lnyM7P2ud8aya7Za8TYsdFh130HXktmrcw5anpk+yK3q7QlufhI3EnRWrgTTuo7K27akTuMiJ32hbTpEUba9NhKZKRNjy/SpsfWRkba9BnntRBc2rpxy/+n/r9/MpJpE1kTaeMKQwBpC8MxLUqTpc2uT5Ot+UXU3K355dw0yaTJgdciak29OkXaknzdg75lg5Pk7pRS3h72LTtUam1ugrTpPflImx5bpE2XLdKmy1eiI236jIdU2qSxbtvy/3+88JQ57d4TzLRJnzEPz3mytSPaQa0jbXqD2TRpk6mOctj12ueeGbQ+bcwhh5l46mP0v3zeDlenSluaxIm8yREDsjZOMnPJy25uIhIXKhuHtOl9FyBtemyRNl22SJsuX6RNn29RC8EzbUUNduLr3192O2e0KQws0qYAdWfIVkube9B1ctqjdLFJ69OqjEK3SFuSjT3sW0Tu8ceGxwd/y9eSl6yFkzVxVbNxSFuVp9KvDtLmx6lqKaZHViVXXA9pK2ZUtwSZtroE69VH2urxi2tf+4v/aK5ZdoU5Z+q55pYv/CBAREIIAaRN7zlohbRJNu39Z3+buttju0x79B2RbpW2ND7uWXErlvekZuNkHZysh5NMnI/IIW2+T2L5ckhbeWZlaiBtZWiVK4u0leNVpTTSVoVauDpIWwCWFz8wNz5c+/Lj5pt50f9cYQggbWE4pkUZCmmza9PiKY+JTUSkT7Imbe9oE5GJRx/bNtMefUcEacsmZbNxzy/vO2pAplSmrY3LEzmkzfdJLF8OaSvPrEwNpK0MrXJlkbZyvKqURtqqUAtXB2kLwPKr9389PlhbsmySbeMKQwBpC8NxKKUtb0t+m01r4m6PoUkjbeWIisjJYd8icSJwaQd/S0QRuSlTdpj/5YvDzIRJW+MplvLvodixstwdtW9ppE137JA2Pb5Imx5bGxlp02ec1wLSFoD/SXd+3jyx6lfmrtPvM7MOPiNAREIIAaRN7zkIlWkTSdvw8kupUx5lS/4xhxzesdm0vNFB2uo/uyJvNguXl5GTlmSzE1knJ//vH0mc1q6V9e+q+RGQNt0xQtr0+CJtemyRNn22Pi0gbT6UCsoccMtB5o31r5knv77STBl3YICIhEDadJ+BqtJm16Wti6Y7Jrfjlx7L7o4Tj4mmPZ78uUZvya9Lt3POadPmVDa+nVr5xiujzRNP9xpZI/fGG+mbndis3LTpO+J1clbs5CNXNgGkTffpQNr0+CJtemyRNn22Pi0gbT6UCsqMv2ECB2sH4JgMQaZNAerOkL7SJpK28aUXjJyZJp+7h1tLqG6a8lhmNMi0laFVvmxyTZvd7ESOHnAzdFmRXYEToROxY5plHy2krfzzWKYG0laGVrmySFs5XlVKMz2yCrVwdZC2ACx7ru3b0nrVNz8MEI0QlgDSpvcsZEmbm0nLk7QJRx0TH3It0sY1mADSpvtU+GxEIlk5ycJJNs5X5tzs3JQpfVMtu03okDbdZxdp0+OLtOmxtZGRNn3GeS0gbTX5v7r2VfPJ/+eT8bRImR7JFY4A0haOZTKSlbY//PKxeE1a1nRHkbL4cOtol8cxhx7ecbs8ahFG2rTI9sX1kbasHrgy92YkdW+8Ee1gmTPN0saxQidZOvl/8v59H2Ud3fjxfZukdMKFtOmOItKmxxdp02OLtOmz9WkBafOhlFPmuXeeM0f/4GgzbdJnzMNznqwZjeouAaQt7PMgB1pvfOmfzJrHfmU+iKY6vvfMbwY1YKc7SiYNSavOH2mrzs6nZh1py4ufzM6ti7J1PkInMdOkbrycPxdNvRw3rk/w2uFC2nRHCWnT44u06bFF2vTZ+rSAtPlQyimz+J8Wmy/f9+V410jZPZIrHAGkrR5Lux5NzkmTdWny7+QlWTSRsziTFn3OdMd6zG1tpC0Mx6woWtLmK3QiczLlcv06E+9wuS76KMJXdIm4WYEbF2Xn7BTM+HPntaI4mq8jbZp0jUHa9PgibXpskTZ9tj4tIG0+lHLKLHpukfnGA9+Iz2eTc9q4whFA2vxZ2ixa30HWkaS9/ILZtmHDoAByoPXYQ6Ppjscca/Y/+USzYcco/0Yo6U0AafNGValgK6StqKOyAcr69X2ZOZG6VW/2fZR/y9fTDhDPipmUO8nYyXRM+agteEhb0UjXex1pq8cvrzbSpscWadNn69MC0uZDKafMtb+81lyz9Bpz+XHzzbzof65wBJC2bJb2fDRZiyY7OqZl0ex6tPHRhiFjDzl0wBb8vrtHhhvN7oqEtOmOdxOlzeeOk2K3Yb2J19SVzdi5bcm0zHhN3c4pmCJ1sdxF/x47bufnTiZP6uZN1UTafEayehmkrTq7oppIWxGh+q+zEUl9hnUiIG116EV1L/uHy8z3n/y+uWbG98xFR32zZjSquwSQtj4aPtMc7UHWkkUb/yfRerSCqY5Im+73GtKmy7ddpc2XipW7+GM09VI2TJFsnWTu7NfKZu+SbVvZk6/LLpk2izdiWI/55CeN2bSlN/66XP0iuFMO5WudtPmK77iEKIe0haCYHgNp02NrIyNt+ozzWkDaavKXqZEyRVKmRsoUSa5wBLpR2mwGbcu7b5sNL71o5N9pl12LVnXDEKQt3HOaFglp0+Xb6dJWhp6spYvX1O2cgimSJ3Jns3gSyxU9++8ybRSVtZk7ye6J4MnlZvNs5k++brN/NqZbzkpi2mtFfWiX15E2vZFC2vTYIm36bH1aQNp8KOWUOfVvTjVLX10ab0Iim5FwhSPQydJm16DZ7fazpjgKTZs1s9Mcxxz6aTNizJhaoJG2WvgKKyNthYhqFUDaauGLK1vZk88lkyeiJ8I3auQw89abw+JMm0zd7CvbJ4LyUeRQLt/NV+r3tC+Cmxm0MZOSZ7OFbpuuMLpfT9a1r2VNHRUZFSnNunx3B0XaQj0Rg+MgbXpsbWQybfqM81pA2mryl+3+Zdt/2e5ftv3nCkegU6TNHlItH2WTkE3vvBWvQ0u7NAQtrR2kLdxzmhYJadPli7Tp8S27ps2VPxE6ETu53I1XbOZPvm6nedo7cMuJPLpXmc1b9IiEiWylc1hPj9mxY4fJOwDCzVj6tJ4mqz713DKyk6nWlSXIodsTtmP2GGHWf7C1dGhf6S4duMMq/MszR3fYHbXX7SBtNcdLDtaWA7blYG05YJsrHIF2k7Zk9kz+nTW90V2DNmqfTwzaKCQcxfRISJsuYaRNly/Spse3rLTp9WRgZFcO7StJybPZQLemK4wDhHBnFjHZ/yxRdLOMaffcSYI5VGNKO+1HIPp7A1cLCSBtNeFPvHGiWbtprVl50dtm3Oidk/lrxqR6H4GmSpsrZ3btWdYW+3IfNnsWr0PbuUGIfGzlhbTp0kfadPkibXp8myptenc8NJGtdE4cO8p8sGmb2bI1O7PlZix9epcmqz713DJJAS5bP6+8nWYbMmZarCjRZnYbOdx8FE3tLXsh3X7EHl/WN2WaqzUEkLaa3Huu7ZvOseqbH9aMRPUkgVZLm0xn3Bat5pd1Zz5ylpY9C7H+TOPJQNo0qO6KibTp8kXa9PgibXpsJTJr2vT4sqZNj62NzJo2fcZ5LSBtNfmLtMm0SJkeyRWWwFBIm82axR8jSXPXn2XdTTvJWdY9IG1hn9VkNKRNly/SpscXadNji7TpskXadPlKdKRNnzHSpsgYadODG1LarIx99M7bXlkzuatOkDOkTe/5zIuMtOlyR9r0+CJtemyRNl22SJsuX6RNn29RC2TaiggVvC7SduLkz5mffHlJzUhUTxIoI22SKbO7MrpitjnaqfGjjJ0abXvJNWeynX5TpzWGekrItIUimR4HadPli7Tp8UXa9NgibbpskTZdvkibPt+iFpC2IkIe0iaHasvh2lxhCSSlTeRLJGxTlC2T/+M1Z/G0xheitWcbchsXMRsRneo69tDDjN2tUf7d6g1BwhLzj4a0+bOqUhJpq0LNvw7S5s+qbEmkrSyxcuVZ01aOV5nSSFsZWtXKMj2yGrdQtZC2miQl04a01YS4s7qVMru+rOe9fzZr33jTbF2/Pha0ogsxKyK063WkzZ9VlZJIWxVq/nWQNn9WZUsibWWJlSuPtJXjVaY00laGVrWySFs1bqFqIW01SYq0XXTUN801M75XM1JnV7fTF2U3Rpspsx99pjAKHbvGLJ6+KFvn7/uJ+P/R++5ndv/Efp0NMPDdIW2BgSbCIW26fJE2Pb5Imx5biYy06fFF2vTY2shImz7jvBaQtpr8RdouP26+mRf9382X3R7filjvBxvNhpf6tszf9O7bhdMX06RswscnmmGTDzbDxozt2mmMWs8U0qZFti8u0qbLF2nT44u06bFF2nTZIm26fCU60qbPGGlTZCzSJuvZZIpkJ155GbIyQiZs7PRFmyGzH7PWlpXZiKQT2WveE9KmSRdp06Xb98bhrTUfaTfTlfGRNt1hJ9Omxxdp02NrIyNt+oyRNkXG7Sptdv2YoHGzY/J1ETXfKYsWrUxPlGmKduri8Cg7tns0dbHOToxIm96Di7TpsZXIZNp0+SJtenyRNj22Ehlp0+OLtOmxRdr02fq0wPRID0pnnTffvPzqqrjkIQdNNg8sWtBfS6RNtvuXbf9bfSWzYlsj+erduKFfyspmxuR+ZB3ZbvtE8hXttJiWIdttp6hp3DvSpkG1LybSpscWadNlK9GRNj3GSJseW6RNly3SpsvX/uzVb4UWsgggbQXPxvnzbjRr3lvfL2oicHvvNc7cffOVcU1NaRMJ2xqtCZOsl3y+baeAyXoxmxGrImLSb8mMDd9zzAAZc7NjTdjcA2nT+8GFtOmxRdp02SJtunyRNl2+ZNr0+CJtemxtZKZH6jPOawFpK+A/c/Zcc/klXzWzZ82ISy5esszcdNt95tHFC/ul7cmvrzRTxh1YOJLJKYk2E5aUMPvvwoCJAm5WTKYlWjFz146JqLXLTotIW9knwL880ubPqkpJpkdWoeZfh0ybP6uyJZG2ssTKlUfayvEqUxppK0OrWlmkrRq3ULWQthySy1e+YuZcep2599arzfSpB8clk1/bc/5w8+Apf2s+9sFI81F04LM7HVHKl10b5nZHJGxktDZMsl5yWfmSjNjISMrk3zJtsZ1ErMyDi7SVoVWuLNJWjlfZ0khbWWLlyiNt5XiVKY20laFVvizSVp6Zbw2kzZdU9XJIW3V2IWoibTWl7b9Nm+Y9DmMmTzYjIxEbNW5c/NH+O/58v/0GveYdmIIQgAAEIAABCEAAAhCAQMcSQNpqStuPjjvWTJhyUCxiEz/96Vi89owETP6Xa89I1ETOuCAAAQhAAAIQgAAEIAABCFQhgLQVUEtb0zb/hjvNiqWL+mtyXlCVR6+4DtMjixlVLcH0yKrk/OoxPdKPU9VSTI+sSq64HtMjixnVKcH0yDr08usyPVKPrY3M9Eh9xnktIG0F/It2j5TqSJvOQ4y06XCVqEibHluJjLTp8kXa9PgibXpsJTLSpscXadNji7Tps/VpAWnzoJR3ThvS5gGwYhGkrSI4j2pImwekGkWQthrwPKoibR6QKhZB2iqC86yGtHmCqlAMaasArWQVMm0lgQUujrQFAEqmLQDElBBImw5XiYq06bGVyEibLl+kTY8v0qbHViIjbXp8kTY9tjYy0qbPOK8FpC0Af6QtAESkTQdiRlSkTRc30qbLF2nT44u06bFF2nTZIm26fCU60qbPGGlTZoy06QAm06bDVaIibXpsJTLSpssXadPji7TpsUXadNkibbp8kTZ9vkUtkGkrIuTxOtLmAalCEaStAjTPKkibJ6iKxZC2iuA8qyFtnqAqFEPaKkArUYXpkSVglSyKtJUEVqE4mbYK0AJWQdoCwETaAkBMCYG06XCVqEibHluJjLTp8kXa9PgibXpsJTLSpscXadNjayMjbfqM81pA2lrLn9YhAAEIQAACEIAABCAAAQjkEkDaeEAgAAEIQAACEIAABCAAAQg0mADS1uDBoWsQgAAEIAABCEAAAhCAAASQNp4BCEAAAhCAAAQgAAEIQAACDSaAtFUcnLPOm29efnVVXPuQgyabBxYtqBiJalkElq98xcy59Dpz761Xm+lTDwZUAALnz7vRPPXMygGRVixdFCAyIYTAt757u3nw4cfhq/w4WM78bAgHevGSZWb+DXcOCsjPh3CMJdK0U87rD3jJuWeauRecHbaBLotm3yek3TbPbriHYebsuea9tRv6A8I2HNsykZC2MrR2lpU3vmveW98vaiJwe+81ztx985UVolEljYD7A4I3ZuGeEeH66OKF/QHlze+yp5cP+Fq41rovkvws+M6VF/T/kWHhXT819z/0CHwDPgoiF//l3p/HfzTjZ0M4sML1ptvu41kNh3RAJCsXC6660MyeNUOpFcIKAfm5++yKl3hPFuhxkN9rRxx2oLn+2xfHEZPvgQM1QxgPAkibB6RkEXnje/klX+3/wcsvuwoQPaqQafOAVLMIjGsCLKgO3/B8JVMhskYWPixbfo+F5ZmMJm98vzjzWDJrupjj6PIe7a+vv4wZOoFY8543EMgAYZC2khDT3oTxxqwkRM/icPUEVaMYmaAa8Dyqyl8kX3rlTbIXHqx8isgb32/M+ZL51IH7IW0+wEqUSZseyRSoEgALisofG/aaMHbAFDMyxeH42khk2cIztdPR7c8D/gARnrFvRKTNl9TOckhbSWA1iiNtNeB5VGW6jgekikXc6b288a0IMVFN3ji8u/r9eMoTPxvCMM2LwhSocIzTftYm3wiHa627I5FlCz/+aesG+b0WnrNPRKTNh5JTBmkrCaxGcd6Y1YBXUNWyZSG8HmOJLH/1ve2eBw2/4OpxTk7d42dDPZ4+tS1jnl0fWvllsp5Xyb6xxq0+XxvB/cNOuKhEslPS7YZw/F5r3TOBtFVgnza/V3bd4pdbBZg5VXhjFpanjWanQTE1R4dvMmryF97QtNpZrWTtbCh3yR8edMbaMuf3Whi+aYKGtIVha6PwszYsT4mW9scb3puF5+wbEWnzJeWUY/fICtAqVOEHQwVoBVXYbCA8Uzciu3Pq8rXR+dkQnnPy2WVX5LCMk+tb2bk3LF+ybGF5utFEho8/Zmr/bpw8u3qsiyIjbUWEMl7nnLaK4DyrJc8EkQXc7lb1nmEo5hDIO8+GKTphHhX354KNSKYiDFs3CtIWnmny2XXfpIVvrTsjuoz5nRbuGWD2SDiWWZHc8wV5dvV5Z7WAtLWOPS1DAAIQgAAEIAABCEAAAhAoJIC0FSKiAAQgAAEIQAACEIAABCAAgdYRQNpax56WIQABCEAAAhCAAAQgAAEIFBJA2goRUQACEIAABCAAAQhAAAIQgEDrCCBtrWNPyxCAAAQgAAEIQAACEIAABAoJIG2FiCgAAQhAAAIQgAAEIAABCECgdQSQttaxp2UIQAACEIAABCAAAQhAAAKFBJC2QkQUgAAEIAABCEAAAhCAAAQg0DoCSFvr2NMyBCAAAQhAAAIQgAAEIACBQgJIWyEiCkAAAhCAAAQgAAEIQAACEGgdAaStdexpGQIQgAAEIAABCEAAAhCAQCEBpK0QEQUgAAEIQAACEIAABCAAAQi0jgDS1jr2tAwBCEAAAhCAAAQgAAEIQKCQANJWiIgCEIAABCAAAQhAAAIQgAAEWkcAaWsde1qGAAQgAAEIQAACEIAABCBQSABpK0REAQhAAAIQgAAEIAABCEAAAq0jgLS1jj0tQwACEIAABCAAAQhAAAIQKCSAtBUiogAEIAABCEAAAhCAAAQgAIHWEUDaWseeliEAAQhAAAIQgAAEIAABCBQSQNoKEVEAAhCAQGcSWHjXT81t9zw46OYuOfdMM/eCs83M2XPj1x5dvHBQGXltrwnjzAOLFsSvFcWadsp5uRD3mjA2buf8eTeap55ZmVp2wVUXmtmzZpizzptvXn51lbH/toUXL1lm5t9wpznkoMn9/UoG8unHjOOmmwcffry/6pmnnWSu//bFpdr1uY/OfKq4KwhAAAIQ0CCAtGlQJSYEIACBhhOwUnHvrVeb6VMP7u+tyNc/PvrbfukRyTn+mKnm7puv7C/zre/ebpY9vbxf5nxjJeUqKV3yusRa8976TOmSMlbakv2yX8+TNndYrOSl9SPttTLt+txHwx8RugcBCEAAAg0igLQ1aDDoCgQgAIGhIiAyZjNIeW0m5WX5ylfMnEuvG5Dl8o0VUtr23mtcnJGz0mn7JSJXJH0+/ciSNt92kbahepJpBwIQgEB3EEDaumOcuUsIQAACAwjI9MZDD95/QAYtC5EIyEuvvBln1iTbJOLiZt7KxJI28jJcPrIjfTjisAPNu6vfN/tMmhhPXZTsn1zyNU1p823X5z54JCEAAQhAAAK+BJA2X1KUgwAEINBBBKw42Vuya8qybtFdC7Zi6aIBxcrGKpI2nzVtIk/HH3NEvIZN+iP9k6zbLXf8WF3afNplTVsHfbNwKxCAAAS1v9CAAAAEsElEQVQaQABpa8Ag0AUIQAACrSRgpxbaPqRNm7SiZTcpyepvmVh11rSJtNnNQaQvNvtXJsNVZU2bb7tl+tHKsadtCEAAAhBoDwJIW3uME72EAAQgMCQEZJqh7JyYzKalrWUr6lBWrKJMW9H0Rjs9UqTN7lppBbCMLNWRtqJ2y/SjiCOvQwACEIAABJA2ngEIQAACXUZABOy//e0/xpmq5GVlJLmrZJa0VYkVUtqk/7Kmzh5LUEaW6khbUbtl+tFljx+3CwEIQAACFQggbRWgUQUCEIBAOxNwpzC6GTV3B0Z3oxG51zxpk90k5fKNFVra3LEoI0t1pS2v3TL9aOdnib5DAAIQgMDQEEDahoYzrUAAAhBoHIG0g6az1qwVTY8sE6tI2nw3IknLFJaRpax+2GmddsDcw7XtmrbkYCbbZSOSxj3udAgCEIBAWxNA2tp6+Og8BCAAAQhAAAIQgAAEINDpBJC2Th9h7g8CEIAABCAAAQhAAAIQaGsCSFtbDx+dhwAEIAABCEAAAhCAAAQ6nQDS1ukjzP1BAAIQgAAEIAABCEAAAm1NAGlr6+Gj8xCAAAQgAAEIQAACEIBApxNA2jp9hLk/CEAAAhCAAAQgAAEIQKCtCSBtbT18dB4CEIAABCAAAQhAAAIQ6HQCSFunjzD3BwEIQAACEIAABCAAAQi0NQGkra2Hj85DAAIQgAAEIAABCEAAAp1OAGnr9BHm/iAAAQhAAAIQgAAEIACBtiaAtLX18NF5CEAAAhCAAAQgAAEIQKDTCSBtnT7C3B8EIAABCEAAAhCAAAQg0NYEkLa2Hj46DwEIQAACEIAABCAAAQh0OgGkrdNHmPuDAAQgAAEIQAACEIAABNqaANLW1sNH5yEAAQhAAAIQgAAEIACBTieAtHX6CHN/EIAABCAAAQhAAAIQgEBbE0Da2nr46DwEIAABCEAAAhCAAAQg0OkEkLZOH2HuDwIQgAAEIAABCEAAAhBoawJIW1sPH52HAAQgAAEIQAACEIAABDqdANLW6SPM/UEAAhCAAAQgAAEIQAACbU0AaWvr4aPzEIAABCAAAQhAAAIQgECnE0DaOn2EuT8IQAACEIAABCAAAQhAoK0JIG1tPXx0HgIQgAAEIAABCEAAAhDodAJIW6ePMPcHAQhAAAIQgAAEIAABCLQ1AaStrYePzkMAAhCAAAQgAAEIQAACnU4Aaev0Eeb+IAABCEAAAhCAAAQgAIG2JoC0tfXw0XkIQAACEIAABCAAAQhAoNMJIG2dPsLcHwQgAAEIQAACEIAABCDQ1gSQtrYePjoPAQhAAAIQgAAEIAABCHQ6AaSt00eY+4MABCAAAQhAAAIQgAAE2poA0tbWw0fnIQABCEAAAhCAAAQgAIFOJ4C0dfoIc38QgAAEIAABCEAAAhCAQFsTQNraevjoPAQgAAEIQAACEIAABCDQ6QSQtk4fYe4PAhCAAAQgAAEIQAACEGhrAkhbWw8fnYcABCAAAQhAAAIQgAAEOp0A0tbpI8z9QQACEIAABCAAAQhAAAJtTQBpa+vho/MQgAAEIAABCEAAAhCAQKcTQNo6fYS5PwhAAAIQgAAEIAABCECgrQn8/7qWhLbtLt9jAAAAAElFTkSuQmCC", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "dynamics.plot_curves(chemicals=[\"A\", \"B\", \"C\"])" ] }, { "cell_type": "markdown", "id": "755c36f1-bbef-403e-87ff-3f06456adbee", "metadata": {}, "source": [ "### The plots has 4 distinctive intersections; locate and save them:" ] }, { "cell_type": "code", "execution_count": 46, "id": "2c66065b-1063-498b-a198-f32d19f6e394", "metadata": {}, "outputs": [], "source": [ "run3 = []" ] }, { "cell_type": "code", "execution_count": 47, "id": "77990447-a8ee-4819-bb43-07d9947aa4af", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Min abs distance found at row: 3172\n" ] } ], "source": [ "run3.append(dynamics.curve_intersection(t_start=1., t_end=2., var1=\"E_high\", var2=\"E_low\"))" ] }, { "cell_type": "code", "execution_count": 48, "id": "f070aac6-228b-4f05-b403-9a209741628d", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Min abs distance found at row: 4664\n" ] } ], "source": [ "run3.append(dynamics.curve_intersection(t_start=2.31, t_end=2.33, var1=\"A\", var2=\"B\"))" ] }, { "cell_type": "code", "execution_count": 49, "id": "ba3d9b31-b556-4b91-af5b-f67d45e767c2", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Min abs distance found at row: 6035\n" ] } ], "source": [ "run3.append(dynamics.curve_intersection(t_start=3., t_end=4., var1=\"A\", var2=\"C\"))" ] }, { "cell_type": "code", "execution_count": 50, "id": "b2633ff9-092b-4ba4-9a18-b96dd0342277", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Min abs distance found at row: 6540\n" ] } ], "source": [ "run3.append(dynamics.curve_intersection(t_start=3., t_end=4., var1=\"B\", var2=\"C\"))" ] }, { "cell_type": "code", "execution_count": 51, "id": "7c4d7df3-377e-4150-b9eb-c66676036089", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[(1.5782924165400347, 500.00000000000097),\n", " (2.324314772661154, 40.369610560733825),\n", " (3.0100101552808494, 31.29190450449909),\n", " (3.262685299694276, 36.193867736703666)]" ] }, "execution_count": 51, "metadata": {}, "output_type": "execute_result" } ], "source": [ "run3" ] }, { "cell_type": "code", "execution_count": null, "id": "2fbcdc85-1bf5-4f17-83a1-647a91249c5a", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "246e10d8-39ff-40fb-9283-6692440622a6", "metadata": {}, "source": [ "# Finally, compare (using a Euclidean metric) the discrepancy between the runs\n", "Run #3, at high resolution, could be thought of as \"the closest to the actual values\"" ] }, { "cell_type": "code", "execution_count": 52, "id": "08f923d0-c30e-4e64-a173-085a51d66dfc", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.00032919271043321753" ] }, "execution_count": 52, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Discrepancy of run1 from run3\n", "num.compare_results(run1, run3)" ] }, { "cell_type": "code", "execution_count": 53, "id": "de481852-d94e-44e3-86da-f8e6a4536270", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.011319481284846614" ] }, "execution_count": 53, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Discrepancy of run2 from run3\n", "num.compare_results(run2, run3)" ] }, { "cell_type": "markdown", "id": "573ee4cf-2bd6-48c0-a534-90b53f12bc59", "metadata": {}, "source": [ "The fact that our measure of distance of run 2 (with intermediate resolution) from run3 is actually GREATER than the distance of run 1 (with low resolution) from run3, might be an artifact of the limited accuracy in the extraction of intersection coordinates from the saved run data." ] }, { "cell_type": "markdown", "id": "6a86de1c-515e-4e7d-8649-b5aa41df3d8d", "metadata": {}, "source": [ "#### The coordinates of the 4 critical points, from the 3 different runs, are pretty similar to one another - as can be easily seen:" ] }, { "cell_type": "code", "execution_count": 54, "id": "7222be3e-b1a9-41bd-a0de-6ffc94b00186", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[(1.5782463316015305, 499.9999999999999),\n", " (2.324208426199163, 40.36968965779538),\n", " (3.0098252303164066, 31.29187589510951),\n", " (3.2624567026161637, 36.1939052299051)]" ] }, "execution_count": 54, "metadata": {}, "output_type": "execute_result" } ], "source": [ "run1" ] }, { "cell_type": "code", "execution_count": 55, "id": "32f1d5ff-5295-4eb3-a5bb-85bad43b50fa", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[(1.5735537752099382, 500.00000000000034),\n", " (2.3183999999998557, 40.37073343842193),\n", " (3.004140156337331, 31.291875890937405),\n", " (3.256771634660094, 36.193905213310856)]" ] }, "execution_count": 55, "metadata": {}, "output_type": "execute_result" } ], "source": [ "run2" ] }, { "cell_type": "code", "execution_count": 56, "id": "44397093-e409-4d24-aa97-461ff15d8750", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[(1.5782924165400347, 500.00000000000097),\n", " (2.324314772661154, 40.369610560733825),\n", " (3.0100101552808494, 31.29190450449909),\n", " (3.262685299694276, 36.193867736703666)]" ] }, "execution_count": 56, "metadata": {}, "output_type": "execute_result" } ], "source": [ "run3" ] }, { "cell_type": "code", "execution_count": null, "id": "446e53bb-f715-4baf-baee-ce35f02a4e72", "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "jupytext": { "formats": "ipynb,py:percent" }, "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": "3.8.10" } }, "nbformat": 4, "nbformat_minor": 5 }