{ "cells": [ { "cell_type": "markdown", "id": "5cbc8640", "metadata": {}, "source": [ "# **Enzyme Kinetics** : \n", "\n", "#### Our model: `E + S <-> ES` (with kinetic parameters _k1_forward_ and _k1_reverse_), and `ES -> E + P` (_k2_forward_) \n", "\n", "#### In experiment `enzyme_1_a`, we were given `k1_forward`, `k1_reverse` and `k2_forward`... But what to do if we're **just given `kM` and `kcat`** ? \n", "\n", "In Part 1, we'll \"cheat\" and use the actual value of _k1_forward_ \n", "In Part 2, we'll explore what happens if, lacking an actual value, we **under-estimate** _k1_forward_ \n", "In Part 3, we'll explore what happens if we **over-estimate** _k1_forward_\n", "\n", "Background: please see experiment `enzyme_1_a`" ] }, { "cell_type": "markdown", "id": "604b150b-7812-4fd3-9403-69a06dd7e397", "metadata": {}, "source": [ "#### THE REACTION: \n", "the enzyme `Adenosinedeaminase` with the substrate `2,6-Diamino-9-β-D-deoxyribofuranosyl-9-H-purine`, \n", "and the initial concentration values choosen below, all satisfy the customary Michaelis-Menten assumptions that \n", "`[E] << [S]` and that the reaction rate constants satisfy `k1_reverse >> k2_forward`\n", "\n", "Source of kinetic parameters: *page 16 of \"Analysis of Enzyme Reaction Kinetics, Vol. 1\", by F. Xavier Malcata, Wiley, 2023*" ] }, { "cell_type": "markdown", "id": "c123db4f-c802-47f0-a3d3-0b857314d8e5", "metadata": {}, "source": [ "### TAGS : \"uniform compartment\", \"chemistry\", \"numerical\", \"enzymes\"" ] }, { "cell_type": "code", "execution_count": 1, "id": "6e9d0902-6fc9-4692-ac39-0651d08902ca", "metadata": {}, "outputs": [], "source": [ "LAST_REVISED = \"Jan. 12, 2025\"\n", "LIFE123_VERSION = \"1.0.0rc2\" # Library version this experiment is based on" ] }, { "cell_type": "code", "execution_count": 2, "id": "1e0ae9a9-9d0c-4edf-a5f2-1c589419e6cf", "metadata": {}, "outputs": [], "source": [ "#import set_path # Using MyBinder? Uncomment this before running the next cell!" ] }, { "cell_type": "code", "execution_count": 3, "id": "a29db1c7", "metadata": { "tags": [] }, "outputs": [], "source": [ "#import sys\n", "#sys.path.append(\"C:/some_path/my_env_or_install\") # CHANGE to the folder containing your venv or libraries installation!\n", "# NOTE: If any of the imports below can't find a module, uncomment the lines above, or try: import set_path \n", "\n", "from life123 import check_version, ChemData, Reactions, UniformCompartment, ReactionEnz, PlotlyHelper" ] }, { "cell_type": "code", "execution_count": 4, "id": "af15ecf0-e083-4fef-b68e-abe794dcc86e", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "OK\n" ] } ], "source": [ "check_version(LIFE123_VERSION)" ] }, { "cell_type": "code", "execution_count": null, "id": "3713fa4d-e9bb-4e33-8734-c1d4d23cf177", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "34d1cefc-f644-410a-9fe4-5204964742ac", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "1b6c8520-6340-4056-a9e4-fd376a64d21c", "metadata": {}, "source": [ "## Assume we're only given values for `kM` and `kcat`" ] }, { "cell_type": "code", "execution_count": 5, "id": "0922af12-fb21-4dd0-8709-13bec73555c3", "metadata": {}, "outputs": [], "source": [ "# The following values are taken from experiment `enzyme_1`\n", "kM = 8.27777777777777\n", "kcat = 49" ] }, { "cell_type": "markdown", "id": "84744152-f9e6-45a1-9002-a4842c2ef2c0", "metadata": {}, "source": [ "What values of k1_forward, k1_reverse and k2_forward are compatible with them? \n", "That question was explored in experiment `enzyme2_a`. Here we'll explore the dynamic consequences of selecting various combinations of values." ] }, { "cell_type": "markdown", "id": "9a4febb2-2780-4754-9c70-c2041b1afc07", "metadata": {}, "source": [ "## In the scenario we're exploring, there's LITTLE ENZYME relative to initial substrate concentration" ] }, { "cell_type": "code", "execution_count": 6, "id": "8c9e3f86-b9a5-41da-9e1b-75258017808a", "metadata": {}, "outputs": [], "source": [ "S0 = 20.\n", "E0 = 1." ] }, { "cell_type": "code", "execution_count": null, "id": "67b2734a-0839-4370-a5a9-18883fc15c4c", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "b0ea13d4-9e26-41ec-884a-a56a70445233", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "91a729ee-ad2f-4771-bc84-49ecb9d6a851", "metadata": {}, "source": [ "# 1. Using the known, exact values for `k1_forward` and `k1_reverse` \n", "\n", "Source: *page 16 of \"Analysis of Enzyme Reaction Kinetics, Vol. 1\", by F. Xavier Malcata, Wiley, 2023*" ] }, { "cell_type": "code", "execution_count": 7, "id": "33edfef8-7024-4881-a115-dbd39d3e976a", "metadata": {}, "outputs": [], "source": [ "k1_forward = 18.\n", "k1_reverse = 100." ] }, { "cell_type": "code", "execution_count": 8, "id": "ac9eea69-174c-43e5-9eed-443cbc5e2ba7", "metadata": {}, "outputs": [], "source": [ "chem_data = ChemData(names=[\"P\", \"ES\"], plot_colors=[\"green\", \"red\"])" ] }, { "cell_type": "code", "execution_count": 9, "id": "90f9ec41-6e1b-4558-9400-47e35ece6efc", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
namelabelplot_color
0PPgreen
1ESESred
2AdenosinedeaminaseEviolet
32,6-Diamino-9-β-D-deoxyribofuranosyl-9-H-purineSdarkturquoise
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" ], "text/plain": [ " name label plot_color\n", "0 P P green\n", "1 ES ES red\n", "2 Adenosinedeaminase E violet\n", "3 2,6-Diamino-9-β-D-deoxyribofuranosyl-9-H-purine S darkturquoise" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Our Enzyme\n", "chem_data.add_chemical(name=\"Adenosinedeaminase\", label=\"E\", plot_color=\"violet\") \n", "\n", "# Our Substrate\n", "chem_data.add_chemical(name=\"2,6-Diamino-9-β-D-deoxyribofuranosyl-9-H-purine\", label=\"S\", plot_color=\"darkturquoise\")\n", "\n", "chem_data.all_chemicals()" ] }, { "cell_type": "markdown", "id": "f8d4ea7f-0591-467c-9df3-d95f53df75f5", "metadata": {}, "source": [ "### Specify the Kinetic Parameters" ] }, { "cell_type": "code", "execution_count": 10, "id": "3662d205-0779-4cd6-8001-905c44e58ba4", "metadata": {}, "outputs": [], "source": [ "rxns = Reactions(chem_data=chem_data)" ] }, { "cell_type": "code", "execution_count": 11, "id": "78077d8c", "metadata": { "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Number of reactions: 2 (at temp. 25 C)\n", "0: E + S <-> ES (kF = 18 / kR = 100 / delta_G = 4,250.9 / K = 0.18) | 1st order in all reactants & products\n", "1: ES <-> E + P (kF = 49 / kR = 0) | 1st order in all reactants & products\n", "Set of chemicals involved in the above reactions: {\"S\" (darkturquoise), \"P\" (green), \"E\" (violet), \"ES\" (red)}\n" ] } ], "source": [ "# Elementary Reaction E + S <-> ES\n", "rxns.add_reaction(reactants=[\"E\", \"S\"], products=[\"ES\"],\n", " forward_rate=k1_forward, reverse_rate=k1_reverse) \n", "\n", "# Elementary Reaction ES <-> E + P \n", "rxns.add_reaction(reactants=[\"ES\"], products=[\"E\", \"P\"],\n", " forward_rate=kcat, reverse_rate=0)\n", "\n", "rxns.describe_reactions()" ] }, { "cell_type": "code", "execution_count": null, "id": "d23a97ea-f252-4e11-a3e9-aea74f58591e", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": 12, "id": "aae96512-3d86-4ab0-b167-92943523b7ef", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "SYSTEM STATE at Time t = 0:\n", "4 species:\n", " Species 0 (P). Conc: 0.0\n", " Species 1 (ES). Conc: 0.0\n", " Species 2 (E). Conc: 1.0\n", " Species 3 (S). Conc: 20.0\n", "Set of chemicals involved in reactions: {'S', 'P', 'E', 'ES'}\n" ] } ], "source": [ "# Here we use the \"slower\" preset for the variable steps, a conservative option prioritizing accuracy over speed\n", "uc = UniformCompartment(reactions=rxns, preset=\"slower\")\n", "\n", "uc.set_conc(conc={\"S\": S0, \"E\": E0}) # Small ampount of enzyme `E`, relative to substrate `S`\n", "uc.describe_state()" ] }, { "cell_type": "code", "execution_count": 13, "id": "e6ad72b8-722a-4606-a611-7dc600529f30", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "784 total variable step(s) taken in 0.03 min\n", "Number of step re-do's because of negative concentrations: 2\n", "Number of step re-do's because of elective soft aborts: 1\n", "Norm usage: {'norm_A': 706, 'norm_B': 710, 'norm_C': 706, 'norm_D': 706}\n", "System Time is now: 1.2018\n" ] } ], "source": [ "# Perform the reactions\n", "uc.single_compartment_react(duration=1.2, initial_step=0.05)" ] }, { "cell_type": "code", "execution_count": 14, "id": "e3378bf9-a48b-486d-8f7e-5f605a940b88", "metadata": {}, "outputs": [], "source": [ "history_exact = uc.get_history() # Let's save the historical data for a comparison at the very end" ] }, { "cell_type": "code", "execution_count": 15, "id": "0198dd94-e55d-4ab4-9de8-087d508edf06", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "plot_pandas() NOTICE: Excessive number of vertical lines (785) - only showing 1 every 6 lines\n" ] }, { "data": { "text/html": [ " \n", " " ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "hovertemplate": "Chemical=P
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Changes in concentration for `E + S <-> ES` and `ES <-> E + P` (time steps shown in dashed lines)" }, "xaxis": { "anchor": "y", "autorange": true, "domain": [ 0, 1 ], "range": [ -0.0007350332560864788, 1.2017793737013929 ], "title": { "text": "SYSTEM TIME" }, "type": "linear" }, "yaxis": { "anchor": "x", "autorange": true, "domain": [ 0, 1 ], "range": [ -1.1111111111111112, 21.11111111111111 ], "title": { "text": "Concentration" }, "type": "linear" } } }, "image/png": 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" ], "text/plain": [ " SYSTEM TIME rxn0_rate rxn1_rate step\n", "0 0.000000 360.000000 0.000000 0\n", "1 0.000500 274.543200 8.820000 1\n", "2 0.000750 243.269275 12.075109 2\n", "3 0.000763 241.911753 12.216716 3\n", "4 0.000769 241.237493 12.287060 4\n", ".. ... ... ... ...\n", "779 1.166644 1.308959 1.462999 779\n", "780 1.173671 1.261193 1.409959 780\n", "781 1.180698 1.215086 1.358736 781\n", "782 1.187725 1.170584 1.309274 782\n", "783 1.194752 1.127638 1.261520 783\n", "\n", "[784 rows x 4 columns]" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "rates_exact = uc.get_rate_history()\n", "rates_exact" ] }, { "cell_type": "code", "execution_count": 17, "id": "18ac9b9f-c669-43f6-ac36-ed95b76e1ae5", "metadata": {}, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "hovertemplate": "SYSTEM TIME=%{x}
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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Let's take a look at how the reaction rate varies with time\n", "PlotlyHelper.plot_pandas(df=rates_exact, colors=\"blue\",\n", " title=\"Reaction rate, dP/dt, over time\",\n", " x_var=\"SYSTEM TIME\", fields=\"rxn1_rate\", \n", " x_label=\"time\", y_label=\"dP/dt\")" ] }, { "cell_type": "code", "execution_count": null, "id": "485514fa-5259-4319-9aea-8adac65ae24f", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "e0886793-ace6-49dc-bbef-d2aa0c040001", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "078285f0-00aa-4fbb-9a67-7de0184d6cec", "metadata": {}, "source": [ "# 2. Guessing a SMALLER value of `k1_forward` (UNDER-ESTIMATED)" ] }, { "cell_type": "code", "execution_count": 18, "id": "f6bdd115-a3cc-4c94-8636-108078d4a018", "metadata": {}, "outputs": [], "source": [ "enz = ReactionEnz()" ] }, { "cell_type": "code", "execution_count": 19, "id": "d3b58d68-ae80-4016-afa5-398ed450b330", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "5.919463087248328" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" } ], "source": [ "enz.min_k1_forward(kM=kM, kcat=kcat) # The smallest possible value" ] }, { "cell_type": "code", "execution_count": 20, "id": "df47c069-a290-4c48-a80c-fa9721a38b4c", "metadata": {}, "outputs": [], "source": [ "k1_forward = 6.5 # Close to the smallest possible value" ] }, { "cell_type": "code", "execution_count": 21, "id": "2c8330eb-0f1a-4edf-b937-9a1a8d11ae84", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "4.8055555555555" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" } ], "source": [ "k1_reverse = enz.compute_k1_reverse(kM, kcat, k1_forward=k1_forward)\n", "k1_reverse" ] }, { "cell_type": "code", "execution_count": null, "id": "aa8a4fbe-c52f-48f7-b505-01c6cc032f92", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": 22, "id": "b1ab7d25-1262-4376-ba37-b6888f5ca5d9", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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namelabelplot_color
0PPgreen
1ESESred
2AdenosinedeaminaseEviolet
32,6-Diamino-9-β-D-deoxyribofuranosyl-9-H-purineSdarkturquoise
\n", "
" ], "text/plain": [ " name label plot_color\n", "0 P P green\n", "1 ES ES red\n", "2 Adenosinedeaminase E violet\n", "3 2,6-Diamino-9-β-D-deoxyribofuranosyl-9-H-purine S darkturquoise" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" } ], "source": [ "chem_data.all_chemicals() # Nothing changed here; same chemicals as before" ] }, { "cell_type": "code", "execution_count": null, "id": "bebb6d92-7939-4e8c-9a77-dd5abffd949b", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": 23, "id": "2c8bb1b8-cdd6-4822-aa4c-13db2b425c5f", "metadata": {}, "outputs": [], "source": [ "rxns_underest = Reactions(chem_data=chem_data) # New set of reactions" ] }, { "cell_type": "code", "execution_count": 24, "id": "e364152e-be1a-4ed3-8622-b00d101ac600", "metadata": { "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Number of reactions: 2 (at temp. 25 C)\n", "0: E + S <-> ES (kF = 6.5 / kR = 4.8056 / delta_G = -748.72 / K = 1.3526) | 1st order in all reactants & products\n", "1: ES <-> E + P (kF = 49 / kR = 0) | 1st order in all reactants & products\n", "Set of chemicals involved in the above reactions: {\"S\" (darkturquoise), \"P\" (green), \"E\" (violet), \"ES\" (red)}\n" ] } ], "source": [ "# Reaction E + S <-> ES , with 1st-order kinetics, \n", "# and a forward rate that is much faster than its revers one\n", "rxns_underest.add_reaction(reactants=[\"E\", \"S\"], products=[\"ES\"],\n", " forward_rate=k1_forward, reverse_rate=k1_reverse) \n", "\n", "# Reaction ES <-> E + P , with 1st-order kinetics\n", "rxns_underest.add_reaction(reactants=[\"ES\"], products=[\"E\", \"P\"],\n", " forward_rate=kcat, reverse_rate=0)\n", "\n", "rxns_underest.describe_reactions()" ] }, { "cell_type": "code", "execution_count": 25, "id": "ccfc59f5-a0dc-4b03-a9dd-a6993c4a85cd", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "SYSTEM STATE at Time t = 0:\n", "4 species:\n", " Species 0 (P). Conc: 0.0\n", " Species 1 (ES). Conc: 0.0\n", " Species 2 (E). Conc: 1.0\n", " Species 3 (S). Conc: 20.0\n", "Set of chemicals involved in reactions: {'S', 'P', 'E', 'ES'}\n" ] } ], "source": [ "# Here we use the \"slower\" preset for the variable steps, a conservative option prioritizing accuracy over speed\n", "uc = UniformCompartment(reactions=rxns_underest, preset=\"slower\")\n", "\n", "uc.set_conc(conc={\"S\": S0, \"E\": E0}) # Small ampount of enzyme `E`, relative to substrate `S`\n", "uc.describe_state()" ] }, { "cell_type": "code", "execution_count": 26, "id": "d9c51bab-7eaa-4735-82d2-aaf8ac787f0e", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "788 total variable step(s) taken in 0.03 min\n", "Number of step re-do's because of negative concentrations: 1\n", "Number of step re-do's because of elective soft aborts: 2\n", "Norm usage: {'norm_A': 704, 'norm_B': 709, 'norm_C': 704, 'norm_D': 704}\n", "System Time is now: 1.2057\n" ] } ], "source": [ "# Perform the reactions\n", "uc.single_compartment_react(duration=1.2, initial_step=0.05)" ] }, { "cell_type": "code", "execution_count": 27, "id": "7c4ee2db-73ee-4b17-b3fa-943d4a1ea4cc", "metadata": {}, "outputs": [], "source": [ "history_underest = uc.get_history() # Let's save the historical data for a comparison at the very end" ] }, { "cell_type": "code", "execution_count": 28, "id": "ab344447-39a8-4dd6-aca8-be21e2bba505", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "plot_pandas() NOTICE: Excessive number of vertical lines (789) - only showing 1 every 6 lines\n" ] }, { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "hovertemplate": "Chemical=P
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"title": { "standoff": 15 }, "zerolinecolor": "white", "zerolinewidth": 2 } } }, "title": { "text": "Using SMALLER (under-estimated) value for k1_forward
Changes in concentration for `E + S <-> ES` and `ES <-> E + P` (time steps shown in dashed lines)" }, "xaxis": { "anchor": "y", "autorange": true, "domain": [ 0, 1 ], "range": [ -0.0007374124970341052, 1.205669432650762 ], "title": { "text": "SYSTEM TIME" }, "type": "linear" }, "yaxis": { "anchor": "x", "autorange": true, "domain": [ 0, 1 ], "range": [ -1.1111111111111112, 21.11111111111111 ], "title": { "text": "Concentration" }, "type": "linear" } } }, "image/png": 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" ], "text/plain": [ " SYSTEM TIME rxn0_rate rxn1_rate step\n", "0 0.000000 130.000000 0.000000 0\n", "1 0.000500 120.842601 3.185000 1\n", "2 0.000750 116.711975 4.626306 2\n", "3 0.000763 116.515396 4.694958 3\n", "4 0.000769 116.417346 4.729203 4\n", ".. ... ... ... ...\n", "783 1.171227 1.169882 1.318201 783\n", "784 1.178115 1.125129 1.268138 784\n", "785 1.185004 1.082003 1.219867 785\n", "786 1.191892 1.040450 1.173332 786\n", "787 1.198781 1.000418 1.128479 787\n", "\n", "[788 rows x 4 columns]" ] }, "execution_count": 29, "metadata": {}, "output_type": "execute_result" } ], "source": [ "rates_underest = uc.get_rate_history()\n", "rates_underest" ] }, { "cell_type": "code", "execution_count": 30, "id": "dd0d561d-435b-4aa6-8761-6dde0989c445", "metadata": {}, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "hovertemplate": "SYSTEM TIME=%{x}
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PLbKqxxZZ1WOLrNqzRVbtGZaV1ZtuaJLzz22Rt99qKHu2wZvkpTWQVyOyQ4bWn8Aiq2WnilUBZNUKX8nKyKoeW2RVjy2yqscWWbVni6zaMywpq9Omtshvpnt3XfGOXb7QIeP3ysmoUZ3S1NQpLS0iixc3yIL5jbLg795jfoN8+MHqQjtwoBd93a5Dxm7fITvu1CHjdu6Qvn0dXHgVN4Gs6g4OsqrHF1nVY4us6rFFVvXYIqv2bJFVe4ZFZXXZsgbZYXQ/aW0VmXZhm0w5xvvcv8zx6iuevPri2ijzuwR2uddO4bHDOE9cvYcRV/P10wOyFX1FVsvNFLu/I6t2/ErVRlb12CKremyRVT22yKo9W2TVnmFRWf3F2S1y8W+aZdIBObn8Ss9YUx5vvJEX2KeebJQnH2+UeU83rtbS1tt0iasXeTXyWuupA8hqyskSsxqyGhNUimLIagpoMasgqzFBpSiGrKaAlqAKt1tNACuiKLJqx8+vHXW71SVL8lHVXE7k1jmrxERCXR2ffCLyxGNN8uQTjd5XT2C9r20FLjx8804/ZSAffc3JliNqK/KKrLqaLdHtIKt6fJFVPbbIqh5bZFWPLZFVe7bIqj3DSFk9+6wWufR/m+WAA3Ny6e/TR1XjXF6n56Em4vqE9zBfjbx+8O/eqQNmlwE/39UIrPfY1suBreYDWdUdHWRVjy+yqscWWdVji6zqsUVW7dkiq/YMI2V1z137yT//0SC/urhVDp/shVcrfJh810BcTfT1XW8hV/hYz9syy0RdgwVb5vvG1bMLKnzVPadDVnXRI6t6fJFVPbbIqh5bZFWPLbJqzxZZtWe4mqx+9JHIyOH9pdlb7f/G4hUOzmDfxCsvN3RFX730AS/6ahZyhQ9zreEFWyZ1YO217c+btgVkNS25ePWQ1Xic0pRCVtNQi1cHWY3HKU0pZDUNtfh1yFmNzyqqJLJqx8+vXZiz+ujDjXLYgX1l7Oc75LY7Vzk4g/sm3lnkyauXLuCnD3iR1+cXrB5WHRNsldWVOmC20KrUgazqkkZW9fgiq3pskVU9tsiqHlvTMrJqxxdZteMXKauXebmqP/NyVo85rl3+5/w2B2fQb+Lf/8rLa7Bgy0hs4fG5kfm0geAxbJievCKrumOOrOrxRVb12CKremyRVT22yKo9W2TVnuFqkdWTTuwjN/+pSX75q1b52pTK56s66JK/N6wvrv7CrXzqwIqCjIbPeLIa5L0agR25lbtFW8iqi1Es3gayqscXWdVji6zqsUVW9dgiq/ZskVV7hqvJ6u679JOXX2qQO+9b5d86NSvHM0+Fdhzw5NXc9CB8bLhhz44DO+9qt+MAsqo7a5BVPb7Iqh5bZFWPLbKqxxZZtWeLrNoz7CWrH33YICM37yctfURef6c6Flc56GJkEy8+n98mK9g26+23esvrJkM6Zfc9O2SPPXOyu3eb2XXXjX8lyGp8VmlKIqtpqMWrg6zG45SmFLKahlq8OshqPE5pS5GzmpZcvl7dy+qMa2+X6Zfd2E1xt3Gj5dLzTu1F9cTTLpCHnpjv/y7q7+EFVg//rVGOOLivfH7HDvnzHdW5uMpuyhSv/cbrDd2pAw8+0CRvvdlbXncb74mrJ617eAK7lXfHrVIHsqo1Svl2kVU9vsiqHltkVY8tsqrHNnjO1T1Dtluve1k1IhqWU/PzkMED5ayTj/FH/uzpV8mixe93lyn8uykTltVLLm6Wc37aIsd+s12mTquNxVVaU3zB/Ea5/17zaBKzQ0L4MIuzTLR1j73yAtu3b++rQFa1RgVZ1SUrgqzqEUZW9dgiq3pskVV7tnUvq4UITaT1yWcXdsvppCmny9QfHS9jR43wi85b8JKcce4MmTNzWnfVsKx+74Q+csvsJrng163y1aNqc3GV/bRavYUPP2jIi+t9Tf7X997tibqamxEYYTUpA7t7KQMjPtspyKrGKPS0SWRVjy+yqscWWdVji6zqsUVW7dkiqwUMjZzu/Plt/Mjq4iXLZeIRp8g9sy6UwYMG+CWjfheW1X326OvvWfq7Ga3ylYOQ1WJTdN7T+ajrA/fndxoIH1uO6JS9JnbIAfs1ytidV1bVnbXs/+WqowVkVW8ckFU9tsiqHltkVY8tsmrPFlntYmgk9Y233+uVkxpXVpd96O3z1HXsMKZFXn/N27N0XpsM31xvH1L7oa+eFpa+3yD3zjWPRrnPeyxb1nNtffuJ7DWhQ/b00gX2mtApmw2HqYuR22C9PhKety7apI08gfXWapEVre3S1s5cdT0n1urrvbFtaJBPVhIIcM22palB1urXLB98XN/pa665Bu2Z51yO9ASQ1QJ24RzVuLK6qq3niXOTjZtk+XIvj3VxTgZskH5g6rnmww81yD33eI+7Pel/sjeJ0aM7Ze99RPbeu9MTWGQg7Tzp29Ik4Xmbth3qrU6gpblRcrlO6ehkfrqeH00mZ8g7ch3Z2RLQNaO07TV4bwKaPWFta4dtWoal6pnnXI70BJDVAnYmJ3XKSVPl+fuv9P+SNGd16MD+Yl6j3lqygo+v08/L7pzV+Qtbu3NdH/AWan30UU+jZius8V6Oq9ldwOS8mq2yOOIRIA0gHqc0pUgDSEMtXh3SAOJxSlOKNIA01OLXYeuq+KyiSta9rBoZDS+WMqv9zRHsEJBkNwCziGirLfrJuut1ysJXV9qNTJ3XLrbAymwNZnYXMPmuL3j7vIaP7cZ4C7S6dhfYaWeiA6WmELKq9w+GrOqxRVb12CKremxNy8iqHd+6l9XwHqoGpc0+q2Zf0Z237ydDN+2Ux+chqzZTM85uAG+80SAm2uov1PJ2GVgZQv7pAZ3dEVcjsAMHEnUNjweyajM7S9dFVvXYIqt6bJFVPbbIqj3bupdVe4Q9+6yafUX33bOvbDOqQ+66v75uCOCCY7iNOLIaLm9SL0zE9YH78pHXl/7Z+4YEO4zrupOWlzKw/Q5EXZFV1zO2pz1kVY8tsqrHFlnVY4us2rNFVu0Zdt8UILh71Rd265Abb0FWbdAmldXCc738ktnXNS+vJuqaCy0eHrSRF3XtShcw+a7rf6r+oq7Iqs3sJLKqR690y8iqHnlkVY8tsmrPFlm1Z9gtq7f/pUlOOK6P7Ld/Tmb8sWc7KwenqLsmbGU1DKzVG4ogz9V8NbeFDR8mv/VLk3Ky3wE52fQz9SGuyKrevxSRVT22yKoeW2RVjy2yas8WWbVn2C2r181skv/8jz7+navMHaw40hNwKauFV/GitzDrgfvz6QJ/e6D3Iq1ddu2QSZ60mjccgzfJrrgiq+nnZrmayGo5Qun/jqymZ1euJrJajpDd31lgZccPWbXj59cO7mB1ycXNcs5PW+TE77bLWWezsbINWk1ZDV/XJ5+IzL2rSebc7j1ua5L20LCN3yMvrl/yxDVrC7SQVZvZWbousqrHFlnVY4us6rElsmrPFlm1Z9gtq9OmtshvpjfL6T9pk++f0u6g5fptolKyGiZsdhMwwnqH9zBfw8deE3NdEdcO+dSnaz/iiqzq/W8hq3pskVU9tsiqHltk1Z4tsmrPsFtWf3Jai/zxD80ydVqbHPtNZNUG7ZqQ1fD1mpsPBNJ69529xXXf/fJpAibHdZ11bHq55uoiq3rskVU9tsiqHltkVY8tsmrPFlm1Z9gtq987oY/cMrtJLrq0VQ4+lHtX26Bd07IavvZ/LW/w0wTuuK1R7pvbI67mzo9GWI24mnSBvn1telzZusiqHm9kVY8tsqrHFlnVY4us2rNFVu0ZdsvqlMl9fJm5+vpWMR8bc6QnUE2yGu7FkiUN3RHXhx7sWZzVp493a94ucTUC21Tlt4FGVtPPzXI1kdVyhNL/HVlNz65cTWS1HCG7v7PAyo4fsmrHz68dLLA6YN++Mu/pRvnLX1ex8bwl12qV1XC33lnkRVy7clwfe7RHXNdeuyfiarbEqsYDWdUbFWRVjy2yqscWWdVjS2TVni2yas+wW1bH79xPXnnZuwXooytlyxG1vwjHAZrUTdSCrIY7Z279GuS4Pv1kj7iaGw7st39+V4EJe1ePuCKrqadm2YrIallEqQsgq6nRla2IrJZFZFWAyKoVPkFW7fj1iqxuN7KfLF3aIM++uDJzWx05wJSoiVqT1XDnzBuWIOL63LM94rrhhp3+NlhGXHf37py1Jg9kVY8+sqrHFlnVY4us6rElsmrPFlm1Z9gdWR02uL+/T+fr76yQFi+HkSM9gVqW1XCvF77Y6C/MMvL6gnczguDYeLCJuObF1dyet9IHsqpHHFnVY4us6rFFVvXYIqv2bJFVe4a+rH78schnh/WXtdYSeenNFQ5are8msiKr4VFcMD8vrSZd4J//6Lnlq7nFqx9x9R7jvFu/VuJAVvUoI6t6bJFVPbbIqh5bZNWeLbJqz9CX1cXvNMgO2/YTEzF7er63uzyHFYEsymoYyLPP5MXVPF57tUdcNxve6Udb9/9KTsaM1RNXZNVqepasjKzqsUVW9dgiq3pskVV7tsiqPUNfVhe+0CgTxveVkVt1yNy/rXLQan03kXVZDY/uk4974urv49okb73ZI65GVg85PCeHeg/Xd81CVvX+v5BVPbbIqh5bZFWPLbJqzxZZtWfoy6rZuujQL/eVnbyPcWffhqzaYq0nWQ2zevThRjnrJy3y7rsNsnxZj7geclhODvYervbvRVZtZ2jx+siqHltkVY8tsqrHFlm1Z4us2jP0ZfXOO5rkG0f3kX2+lJMrZrY6aLW+m6hXWQ2P+p9vbpLZNzVJ+HavJk0gH21tF/N92gNZTUuufD1ktTyjtCWQ1bTkytdDVsszsinB1lU29IStq+zw5WsbWb3x+ib5j5P6yGGTc/Lri5FVW67Iag9Bkxow+0Yjrs3y8ks90VYTZTXRVhN1TXogq0mJxS+PrMZnlbQkspqUWPzyyGp8VmlKIqtpqPXUIbJqx69bVi+/pFn++79a5PgT2+VnU739qzisCCCr0fgevL9R/nRjs9zsRVxzXY5q8lmNsJrc1jHbx1uUhaxaTc+SlZFVPbbIqh5bZFWPrWkZWbXji6za8euW1V9Oa5Hp5zfLqae1ySmntTtotb6bQFZLj/9HH4kXbW320wSeeqJn/9axn/cWZXWJq7l7VrEDWdX7/0JW9dgiq3pskVU9tsiqPVtk1Z6hnwZw5o9b5A+XN8vZv2iTb56ArNpiRVbjE/z7c435NAHvsaxgUZbJb91zwuppAshqfL5JSyKrSYnFL4+sxmeVtCSympRYsvJEVpPxKiyNrNrx646s/uC7feSmWU1+vqrJW+WwI4CspuN3q1mU5UnrPXc1dTcwfHOTJtAuhx6Rk2Gb5aOtyGo6vnFqIatxKKUrg6ym4xanFrIah1L6MshqenamJrJqx69bVr9+ZB9fEK68plX23hdZtcWKrNoRfPONnkVZr7zce1GWibZ+74Q+3bcJtjsTtQsJIKt6cwJZ1WOLrOqxDQIEumfIduvIqoPxNWkAB+3fV8zm7jd7e6xW6paZDi69aptAVt0NzQP3eWkC3k4CJuLa0bX+aoMNRA46tN3fBkvzTlnuelE7LSGremOFrOqxRVb12CKr9myRVXuGfoRqz137+fd7N3evMnex4rAjgKza8Yuq/dGHDd5OAvm9W59+smdR1vY79CzKWm/99Hu3ur/i2mwRWdUbN2RVjy2yqscWWbVni6zaM/RldftR/eQ9765DT89fKRsP5gXfFiuyakuwdP13Xusvl85o98U1uFNWg5ctYHYSMNHWPfYilSXtCCCracmVr4eslmeUtgSympZcvHrkrMbjVKwUsmrHz69tZHWLof1l5UqRl99aIf37O2i0zptAVnUnQHiB1S2z84uy5t7dsyhr8y065bAj2mXykTnefCUcCmQ1IbAExZHVBLASFkVWEwJLWBxZTQisoDiyasfPr/3aOytk8yH9pU+f/Pcc9gSQVXuGpVqI2g3gDbMoy9vRwuS3vvpKz6Iscw5TGFYAACAASURBVLOBrx3dLrt8gfSWOKOCrMahlK4MspqOW5xayGocSunLIKvp2ZmayKodP7/2sy+slLHb9JNBgzplnvc9hz0BZNWeYVJZDZe/b26TXH9tk9x2a0+0dYdxHXLklHy0laM4AWRVb3Ygq3pskVU9tqZlZNWOL7Jqx8+v/cCjK2WPL/STLUd0+t9z2BNAVu0Z2shqUNdsgXXdzGa55qqeGw6YN2VHHpPzxXXIUPKzCzkjq3pzF1nVY4us6rFFVu3ZIqv2DOXPd6ySAyf1lc/v2OF/z2FPAFm1Z+hCVsNtXDezSa65ulnmPd2zk4BZkHWkSRHYlRSBgBWyqjd3kVU9tsiqHltk1Z4tsmrPUK6+vlWO+Vof2Wtizv+ew54AsmrP0LWsBu098lCjF2ltFrMwKzjMGzUTaf3qUaQIIKt6cxdZ1WOLrOqxRVbt2SKr9gzlt5e0yve/08ff9sd8z2FPAFm1Z6glq0G7b7/V4Edar7u6Sd5/P78ga+DATm8xVj5FYNPP1GeKALKqN3eRVT22yKoeW2TVni2yas9Qpk5rk//6UYsc+812/3sOewLIqj1DbVkNt3/9NU1yrZfbGr7ZwEGH5FMEdv1ifaUIIKt6cxdZ1WOLrOqxRVbt2SKr9gzltB+3yfnntsgPTm33v+ewJ4Cs2jOspKwG53r04Ua51ou2mpsNBMfYz5sUgby41sOBrOqNMrKqxxZZ1WOLrNqzRVbtGcoJ322Xy3/XLD89u83/nsOeALJqz3BNyGpwzkVvN/iR1mu9XQSWLMmnCGywgbeLgEkR8KT1M8OymyKArOrNXWRVjy2yqscWWbVni6zaM/T3nZx1XZNc8OtWFpg44GmaQFYdgSzSTNRNAbTOaP43TG7rU0/07CLwlYNzcpQnrbuNz16KALKqNZNEkFU9tsiqHltk1Z4tsmrPUPbbPyd/ndMkM/7Y6n/PYU8AWbVnuCYjq1HnfuxRL0XA20XgT96tXYNjzPZeikDXgqyGnptm6XZeuXVkVQ8wsqrHFlnVY4us2rOte1k9e/pVcsOt93aT3G3caLn0vFN7kT3xtAvkoSfm+7+L+vsXvD0mH32kUW66dRX7TdrPSb8FZNURyCLNVDKyWngJi9/J7yJwrbeLwHvv5g11gEkR6MprHbZZbacIIKt6cxdZ1WOLrOqxRVbt2VZUVrfZ41iZedEZMnbUiF5XPmfu43LRFbNlzsxp9j1K2MKkKaf3Oq/5+ZBJ4+X4I/f3WzIyu2jx+90Ca8R1yOCBctbJx3SfadToDnl+QaNc8vtW+fKBRFYTDkFkcWTVBcXibaxJWQ1f1Y3X53cReOKxnhSBLx+U3/pq/B61mSKArOrNXWRVjy2yqscWWbVnWxWyOm/BSzLlpKny/P1X2vfIsoUZ194uTz67sFtOjbxO/dHx3YJtrvWMc2f0EtyttumQhS80ytwHV8nIrWvzBdYSm/PqyKpzpL0arBZZDS7qcU9WzS4CN93QkyKw3ZiuFAEvt7Wxx2V1wThoHVl1ALFIE8iqHltkVY8tsmrPtipk1Qji7DkPrpHIaiFCEzndccxIP7K6eMlymXjEKXLPrAtl8KABftGo3205olNeeblBHnxspWyxZW1/hGk/pdy0gKy64VislWqT1eA6313s7SLgpQeYaKtJFzDHpz6dTxE46ph22Wx49f9/Iat6cxdZ1WOLrOqxRVbt2arLahA1LXepUekB5eq4/ruR5umX3dgd4Y0rq8O9F9DXX2+QZ+a3yWY1nm/nmmna9pqbGqR/n2b5aAX71qZlWKrep9fpI//6v+q+29oN1zXK1X9skkce7ll59ZWDOuTrx3bInhOq9xOMdfq3yKrWdmnLVb9Ya8wtzTb798lH3le0km7lmnNzo/ec25fnXNdcg/bMcy5HegLqshq+tGI5q+kv311Nkzf7w3N+VzaKGiWwQ4eKLFok8tIrORkyxN011XNLjd4TZ4snrKvaqldKanl8+vdtkhWrauMF/9FHG+SK3zfIzJk90jpmbKd84xudcvy3qk8I+7Y0+qLa0VF911bLc9Zcu3kTK962Ee3tPC+4Hkv/ObfZe85tha1rtqY985zLkZ5ARWU1/WXq1iyMqIbPFidn1dwPfenSBnn2xZX+vdE57AmQBmDPsFQL1ZoGUOqal7zn7SLg3WTApAi8sygvroM26pRjv9EuRx+b83cUqIaDNAC9USANQI8taQB6bE3L5jmXIz2BupdVk6NqjsLtqgKkcXYDMDl1H/y7QV54eaWs/6nqeMFMPyWqoyayqjsOtSirYSJmr9arrui50YBZgDXl6+1yjCetZsHjmjyQVT36yKoeW2RVjy2yas9WXVbNR/9xj0rvBhB8pB91feEc2nL7rK69tsgnn3hpAG+ukLXWittbypUigKzqzo9al9WAzv33NsnVVzb5N+UIji9NynnimvPyWtdMmgOyqjd3kVU9tsiqHltk1Z6tuqyGL9FI34H77iaTJuzU68qL/d6+e5VpoU9fkTZvrcrr76yQFnKonUBHVp1gLNpIVmQ16OCLzzfKVZ60zvxjs5crmv+tuTvW0V609atHVVZakVW9uYus6rFFVvXYIqv2bCsqq9V4UwB7hH6+v38sWrrCRXO04RFAVnWnQdZkNaC1fFmDH2m92pPWYOurwZt0+tJaqbxWZFVv7iKremyRVT22yKo926qQ1Wq6KUBSpK1eRLWvF1k1EVUTWeVwQwBZdcOxWCtZldVwf6+/Ji+tzz6Tv6NApfJakVW9uYus6rFFVvXYIqv2bCsqq8U+7o+6K5R91yrTwscfi6yzjvi5qiZnlcMNAWTVDcd6ltWg7/fNNekBlctrRVb15i6yqscWWdVji6zas62orAYR1MIbAJj0gJNPONy/a1StHf/6l8gA7+ZWZhcAsxsAhxsCyKobjshqD4FK5bUiq3pzF1nVY4us6rFFVu3ZVlRWzeVGrcA//8zvrLboyr5rlWnhvfdENt5YZMMNO+W5hciqK+rIqiuS0e3UQxpAMYLaea3Iqt7cRVb12CKremyRVXu2FZdV+0uurhbefltk001FzCKOp/6OrLoaHWTVFUlktRRJjbxWZFVv7iKremyRVT22yKo9W3VZNR/x13LktBziV18V2WILkWHDOuWRp5HVcrzi/h1ZjUsqXbl6jqxGEXOZ14qsppuTcWohq3EopSuDrKbjFrcWd7CKSyq6nLqsmtOaW5a+8bb3ebl3VHrjfzs85WsvXCiy1VaesG7ZKQ8+hqyWJxavBLIaj1PaUshqNDkXea3IatpZWb4eslqeUdoSyGpacvHqIavxOBUrVRFZDU4eLLAyP08+cC856+Rj7K6+CmrPny+y7bYiI7fukLkPrqqCK8rGJSCruuOIrJbma5PXiqzqzV1kVY8tsqrH1rSMrNrxraishi/17OlXyQ233uv/qnB3ALsuVbb200+L7LCDJ6zbdcgdc5FVV/SRVVcko9tBVuPzTZrXiqzGZ5u0JLKalFj88shqfFZpSiKraaj11Fljshq+7FpOE3jsMZFddhHZfocO+ctfkVW76dhTG1l1RRJZdUUybl4rsuqK+OrtIKt6bJFVPbZEVu3ZVoWsBt0I0gTumXWhDB7kbV5aA8eDD4rsvrvIzrt0yJ/+gqy6GjJk1RVJZNU1yXJ5rciqa+I97SGremyRVT22yKo924rJavhj/6zkqxr899wjsvfeIruN75AbZiOr9lMy3wKy6ooksqpFslhe6wkniBx5TJuss15O69R12y6yqjf0yKoeW2TVnm1FZHXGtbfL7DkPypyZ0/wrNrddHTJ4YCYWWN1xh7fbwSSRvSbm5OrrW+1HhBaQ1QrMAXJW3UJOmtfq9uz10xqyqjfWyKoeW2TVnm1FZNXkpJ503CHdd6kK7mKVhW2sbr1V5KCDRPbdLyd/uBpZtZ+SRFZdMSzVDrKqQ9nktc66pkX+/OeG7hN8aVJOpnw9J3tOINJqSx1ZtSVYvD6yqscWWbVnWxFZNTcGKFzxH/U7++5UvoUbbxQ54giR/b+Sk8v+gKy6GgHSAFyRjG4HWdXja3JWH3+qXX5/eaPM/GOzdHTkzzVm+w45+uvt8tWjkNa09JHVtOTK10NWyzOyKcFuADb0RJBVO35y7bUiRx0lcvChObnoUmTVEmd3dWTVFUlkVZfk6q2HF1jZ7Nda6euuhfMhq3qjhKzqsSWyas8WWbVkeOWVIscd50VXv5aT6b9FVi1xIquuAJZph8iqHuhiuwGQ12rPHFm1Z1isBWRVjy2yas+2YrIa51JrMYf18stFzOrfo45ul/Omt8XpJmViECCyGgOSRRFk1QJemarltq6Ku1+r3hXWbsvIqt7YIat6bJFVe7YVkVX7y6zeFi6+WOSkk0SO/Wa7TJ2GrLoaKWTVFcnodpBVPb7lZDU4c7n9WvWusHZbRlb1xg5Z1WOLrNqzRVYtGU6fLnLKKSLf+na7/PfPkVVLnN3VkVVXJJFVXZKrtx5XVoOa5LXGHyFkNT6rpCWR1aTEkpVngVUyXoWl1WXVrPqPe9RiGsB554mcfrrId/9fu5zxU2Q17liXK4esliNk93ciq3b8StVOKqvhtshrLT0uyKrevEVW9dgSWbVnqy6r4Us0NwM4cN/duvdbDf5W7Pf23dNv4ec/FznzTJEfnNoup/0YWXVFHFl1RZLIqi5J+8hq1PWR1xo9asiq3mxGVvXYIqv2bCsqq8X2Vp0z93G56IrZ3Xe4su9W5Vo46yyRc84R+c/T2+TkH7ZX7sQZPxOyqjvARFb1+NpEVguvirzW3kSQVb15i6zqsUVW7dlWhazOW/CSTDlpqtRiGsCPfyxy7rkiPz6zTU76AbJqPyXzLSCrrkgSWdUlqRNZLWyVvNY8EWRVbzYjq3pskVV7thWV1WIf9xtZPePcGTUZWT31VJELLxT56dltcsJ3kVX7KYmsumJYqh0iq3qUXUZWo66ynvNakVW9eYus6rFFVu3ZVlRWgwhq1K1XTz7hcDn+yP3te1ThFr7/fZHf/tZLBfifNvnGt5BVV/iJrLoiSWRVl2RlIqtRfajHvFZkVW82I6t6bJFVe7YVlVVzuYuXLJeJR3h7PYWO88/8zmqLruy7VpkWvv1tkUsvFZl2QZtM8e77zeGGALLqhmOxVois6vHVjqwWXnk95bUiq3rzFlnVY4us2rOtuKzaX3J1tfCNb4hccYWXCvCbVpl8ZK66Lq6GrwZZ1R08ZFWPb6VlNehJPeS1Iqt68xZZ1WOLrNqzRVYtGR59tMjMmSK/+V2rHHo4smqJs7s6suqKZHQ7yKoe3zUlq+EeZTWvFVnVm7fIqh5bZNWeLbJqyXDyZJFZs0QumdEqXz4IWbXEiay6AlimHWRVD3Q1yGrQu6zltSKrevMWWdVji6zas0VWLRkefLDILbeIzPhjq+y3P7JqiRNZdQUQWa0QydVPU02yGlxdVvJakVW9aY2s6rFFVu3ZIquWDA84QOT220Wuuq5VJuyNrFriRFZdAURWK0SyNmQ1uMpaz2tFVvWmNbKqxxZZtWeLrFoy3GcfkbvvFrnuplUyfo8Oy9aoHhAgZ1V3LpAGoMe3GiOrUb2txbxWZFVv3iKremyRVXu2yKolwz33FLn/fpGbbl0lu+yKrFriJLLqCiCR1QqRrK3IahSUWsprRVb1pjWyqscWWbVni6xaMtx1V5FHHhG5dc4q2WEcsmqJE1l1BRBZrRDJ2pfVoAe1kNeKrOpNa2RVjy2yas8WWbVkuOOOIk895eWt3r1KxoxFVi1xIquuACKrFSKZHVkNelLNea3Iqt60Rlb12CKr9myRVUuGY8aIPPecl7f6wCrZehtk1RInsuoKILJaIZLZk9Vwj6otrxVZ1ZvWyKoeW2TVni2y2sVwztzH5aIrZsucmdNWo3riaRfIQ0/M93+/27jRcul5p3aX2XprkRdf9PJWH1kpIz7baT8itOATYIGV7kRggZUe31pZYJWEQLXktSKrSUYtWVlkNRmvpKXNcy5HegJ1L6vzFrwkU06a6hMcNnSj1WT17OlXyaLF73cLqhHXIYMHylknH+PX2XJLkVdeEXn4yZWy2XBkNf1U7F0TWXVFMrodZFWPbxZlNaC1pvNakVW9eYus6rE1LSOrdnzrXlYDfMUiq5OmnC5Tf3S8jB01wi9q5PaMc2d0S+2wYSJvvinyxLMrZchQZNVuOvbURlZdkURWdUmu3nqWZTXo7ZrKa0VW9WYzsqrHFlm1Z4usdjGMktXFS5bLxCNOkXtmXSiDBw3wSxb+bvBgkXff9ST2hZUyaBCyaj8l8y0gq65IIqu6JOtTVsO9rmReK7KqN5uRVT22yKo9W2TVUlY33FBk2TKRV99skwF5n+VwQKC5qUH6tTTJ/61sd9AaTRQSWH/tFvng4zbAKBBYu1+zrGrLSXuuvt683nN3g1zxh0a5/S+N3VQn7t0pR3y1Q46Y7Gbxab8Wr+2GBlnZyt0CXU/d5kbvObev95y7gudc12xNe+Y5lyM9AWTVUlbXW0/ko4+86OqSdlln3fQDQc3eBBq9J07zTp8XJZ2ZYYTqY94IqMDt16dJ2to7JNdRX7IawFwwv0FmzPDE9feNkutySvNG3kjr4Ud0yk47pefS4j0nmMPw5XBLgOdctzwLWzPPuRzpCSCrJWTV/Klczmq/fiKrVnmR1UUrpG/f9ANBzd4ESAPQnREssNLjWw85q3HomTfxs29slj/d2CRPP9kTbd1mVIccdGhODvYegzdJJq6kAcQhn64MaQDpuMWtxQKruKSiyyGrZWS13G4ATU0iHd6b/LeWrJDGnudju1GhNjmrynMAWdUDjKyuzva5ZxvlltlNcstNTbJkSUN3gb33zfnietAh8T7WR1b15i2yqsfWtIys2vGte1kNb10VoDz5hMPl+CP37yZbap9VL31Kmr3o/hvvrrAbCWr3IkBkVXdCIKt6fJHV0mzvuN2TVk9cb7vVe6ffday3fqcvrEZcd9q5+Ef8yKrevEVW9dgiq/Zs615WbREaWTWpAK+8jazasgzXR1Zd0ly9LWRVjy+yGo+t2f7Kj7Z6j3CawMitOuRAT1xNmsCmn+mdJoCsxmObphSymoZa/DpEVuOziiqJrNrxMwtTZd31OmXhqystW6I6slq5OYCs6rFGVpOzfX6Blybwpya52XssfqcnTWCviTlfXE3U1XyChawmZxu3BrIal1S6cshqOm5BLWTVjp8vqxts0Cl//weyaomyV3Uiqy5pElnVpdm7dWTVjvbdd3rRVk9aTcQ1ONZeWzxhbZevHSkyfndvB5ZP2HbNjvLqtZFV10R7t4es2vFFVu34+bK60cad8swCZNUSJbLqEmCZtois6sFGVt2w/fCDrjQBT1wff6xn9epnP9cpXzmoXQ4+LMctrt2g9ltBVh3CjGgKWbXji6za8fNl1eRVPfYMsmqJEll1CRBZrSBNIqvasBe+2Ci3duW3vvlGT5rA+D28bbC8iKtZmMXWgXajgKza8StXG1ktR6j035FVO36+rG6+Raf87XFk1RIlsuoSILJaQZrIaqVgm5zVu+9ulOuuFT9NoL3rZktGVPNbYLWLEViO5ASQ1eTMktRAVpPQWr0ssmrHz5fVz43skHsf8u4MwOGMADmrzlBGNkQagB5f0gD02IYXWH38sRHWZj+/9ZGHetIENhvubYPl33SgXbYckeymA3pXXv0tI6u6Y4Ss2vFFVu34+bI6anSH3HkfsmqJksiqS4BEVitIk8hqpWAX2w3g5ZdMfmuz3OzddOD113rSBL6wW4cc8JWc7LtfTjYejLiWGidkVXcWI6t2fJFVO36+rI7ZvkNuvwtZtUSJrLoEiKxWkCayWinYcbauevB+c7esfMTV3Ao7OIy47uPdMWvCPjk/dYujNwFkVXdGIKt2fJFVO36+rI7z7rhy823IqiVKZNUlQGS1gjSR1UrBjiOrwbUYUf3zzU1y5x1N8tc5TdIZ8lPzadiEfTpk4t452X4HclwNM2RVdxYjq3Z8kVU7fr6s7vrFDpl1M7JqiRJZdQkQWa0gTWS1UrCTyGr4mj75ROSuvzbJ3Lua5B5vgZbZFis4hgztlAmetE705NV8rdcDWdUdeWTVji+yasfPl9U99srJNbNaLVuiepgAC6x05wMLrPT4ssBKj21aWS28ovvv9cTVk1Yjr2+EtsJaay3x0wRMxHXC3h3y6QH1ky6ArOrNW9MysmrHF1m14+fL6t5eHtSV1yCrliiJrLoESGS1gjSJrFYKtitZDV/vc88aafUedzfJs/N6dhUwZb64ez7aOtET2OGbZ1tckVXdWYys2vFFVu34+bK6/5dzctkVyKolSmTVJUBktYI0kdVKwdaQ1fC1myiribaaqKuJvoaPrOe5Iqu6sxhZteOLrNrx82X1wINz8r+XI6uWKJFVlwCR1QrSRFYrBVtbVsP9+OjDBj+/NchzNT8Hx9BN83muJlUgK3muyKruLEZW7fgiq3b8fFk9bHJOfn0xsmqJEll1CRBZrSBNZLVSsCspq4V9Kpbnuvba+TxXP13Ak9dPfbo20wWQVd1ZjKza8UVW7fj5svq1KTn55a+QVUuUyKpLgMhqBWkiq5WCvSZlNdxHk9tqclxNrqvJeQ0fQZ7rnhNyNXUHLWRVdxYjq3Z8kVU7fr6sHnNcu/zP+W2WLVE9TIDdAHTnA7sB6PFlNwA9ttUiq+EelspzHbZZp3xxfE528W5IMG6nDtlkSPVGXZFVvXlrWkZW7fgiq3b8fFk9/sR2+dlUZNUSJZFVlwCJrFaQJpHVSsGuRlkN993s3xrkuT70YKMsXdqT52rKbTmi07uJTE528m4ks6P3GDaseuQVWdWdxciqHV9k1Y6fL6vf/l67nPkzZNUSJbLqEiCyWkGayGqlYFe7rBZyMOkCD/+tUR5/tFGeeLxRwou0TFkjq+N26fDkNeffCXGLLdecvCKrurMYWbXji6za8fNl9fsnt8vpZyCrliiRVZcAkdUK0kRWKwW71mR1NXl9xpPWxzx59R5GXpcv6x15NWkCJupqxNU8Rm5VuVvBIqu6sxhZteOLrNrx82X11NPa5JTT2i1bonqYADmruvOBnFU9vuSs6rGtdVktJLNgfkhePYFd8l5veR00KB95NfmuO3lfzV6vWgeyqkU23y6yascXWbXj58uqiaqa6CqHOwLIqjuWUS0hq3p8kVU9tlmT1UJS/1jYJa9daQOL3u4tr+b2r0Hk1Xwds707eUVW9eYtsmrPFlm1ZGhk1eSrmrxVDncEkFV3LJFVXZaFrSOreryzLquF5F59paEr37XJ//rG673ldd11RXbcyVuw5ee9eou2vAhs2gNZTUsuXj0iq/E4FSuFrNrx8yOrZicAsyMAhzsCyKo7lsiqLktktXJ8601WC8m+6d0O1uS85vNem+Tll3rLa79+Itvv0CHbbtch243x0ga27ZDNt4i3aAtZ1Z3HyKodX2TVjp8vq2aPVbPXKoc7AsiqO5bIqi5LZLVyfOtdVgtJL37Hi7x2y2ujLHyh9w0KTPl11hEZuXWHbOU9tt6m0/+61TYd/u/DB7KqO4+RVTu+yKodP19Wzd2rzF2sONwRQFbdsURWdVkiq5Xji6yWZv3++w3yd++OWs/Na/DvrPXC843yzqLe0degheGbd3rympfYrTyJ3W5bkdHbNMvSD1ZVbkDr6EzIqt1gI6t2/HxZ/fXFrXLYZGTVEmXvd/ktjbJe/xZZ+iFPnC65Bm2xwEqDar5Nclb12CKrydku87bHevF58/Dk1Yu8+t+/2CjtEbstfupTXhTW2y7Lj8R6Art1VxS2f//k56VGbwLIqt2MQFbt+Pmy+r+Xt8qBByOrliiRVZcAy7SFrOrBRlb12CKr7tjm5bXBTx140ftqfn733egorLnzlkkdyMtrPpVg6KbxcmHdXXFtt4Ss2o0fsmrHz5fVy69slUkHIKuWKJFVlwCR1QrS7H0qZFUPPbKqx9bkrK74qEUeeqzNk1cTgTVpBJ7Eet93Rnip2UZrq63zqQQmGutHYr3v+/TRu8ZabhlZtRs9ZNWOny+rV17TKnvvi6xaokRWXQJEVitIE1mtFGxkVY90sQVWOe+lLS+vDX4agR+J9b43+bFRx+dGdsiIz3XK8OHeY/MOGeZ93dSLwg4ZWt+RWGTVbu4iq3b8fFm9Zlar7LEXsmqJEll1CRBZrSBNZLVSsJFVPdJJdwN4d7Enr170NUghMF8XermwxY7mZvFTBzb9jHl0+AI71Hzf9buNB2dbZpFVu7mLrNrx82V11s2rZNcvpt+M2fISMlmd3QB0h5WcVT2+pAHosUVW9dgmldWoK2lrFT/6am5m8Jp5vNoob77ZIG95j/eK5MMG7Zj0gW6R9YW2R2SN1A4cWNsyi6zazV1k1Y6fL6s337ZKxnl3D+FwRwBZdccyqiVkVY8vsqrHFlnVY+tCVktd3SpvYxcjrW+92Shvv5UX2Le6vr7tfV8srSBoc621jMzmF3blpTYvs0F0dsAG1S2zyKrd3EVW7fj5snr7Xauc3qPZ8pIyUR1Z1R1GZFWPL7KqxxZZ1WOrLavlrvyTT4zMNnYJbV5mw1L7r+XRObJBu+bWs0O70gt6iawntUOGdIpZELYmD2TVjj6yasfPl9U771slo0YTWbVE2as6suqS5uptIat6fJFVPbbIqh7bNS2r5Xr20Yc9kdheItsVof3wg9Iya25Fa/JiBw7qlA28KKz/2FDERGQ39FIMgp+Dv7U43tUAWS03wqX/jqza8fNl9d6HVolZAcnhjgCy6o5lVEvIqh5fZFWPLbKqx7baZbVcz//9r95pBUGKgflq7uJVTmYL219vfSOw3k0+NvRk1nuE5db8zvy84UDv713iW05ukdVyI4is2hEqU9vI6kNPrPS26FizHzGodnINNI6s6kJHVvX4Iqt6bJFVxIi6PwAADFVJREFUPba1LqvlyHz8sfiLvExu7LKlDbLcu7PX0vdFzB2+zM/+12Xez11/a28v12Lvv4flNi+2RnLzkVvz/UknOg7VJru8mi9NZNVyCI2sPvbMSj/Zm8MdAWTVHUsiq7osC1tHVvV4I6t6bLMuq0nJmUhtIK9LuwR22dICufV+Dv5WTm6jbqyQ9JrquTyyGmP0TzztAi96Ot8vudu40XLpead21zKy+syClbLRxshqDJSxiyCrsVGlKkhkNRW2WJWQ1ViYUhVCVlNhi1UJWY2FqWihD/7tRWqNzHZHab3obZfcGpG9Yoa30SxHagLIahl0Z0+/ShYtfr9bUI24Dhk8UM46+Ri/ppHVv/9jpZ+3wuGOALLqjmVUS8iqHl9kVY8tsqrHFlnVY2taJmfVji+yWobfpCmny9QfHS9jR43wS85b8JKcce4MmTNzWresLnx1pay7HrJqNxV710ZWXdJcvS1kVY8vsqrHFlnVY4us6rFFVu3ZIqslGC5eslwmHnGK3DPrQhk8aIBfsvB3JrL6ytsrxGyLweGOALLqjiWRVV2Wha0jq3q8kVU9tsiqHltk1Z4tsupAVtvaRMx9jzkgAAEIQAACEIAABNwSQFYtZfW110SGD3c7KLQGAQhAAAIQgAAEIJAngKyWmQnlclZN9XeWrWA+OSZAGoBjoAXNkbOqx5c0AD22pAHosSUNQI+taZkFVnZ8kdUy/MrtBoCs2k3AYrWRVR2uQavIqh5fZFWPLbKqxxZZ1WOLrNqzRVZjMCy1zyqyGgNgiiLIagpoCaogqwlgJSyKrCYElqA4spoAVsKiyGpCYAmLE1lNCKygOLJqx8+vTRqAA4gFTSCr7pmGW0RW9fgiq3pskVU9tsiqHlsiq/ZskVV7hsiqA4aFTSCrClBDTSKrenyRVT22yKoeW2RVjy2yas8WWbVniKw6YIisKkAs0SSyqscbWdVji6zqsUVW9dgiq/ZskVV7hsiqA4bIqgJEZLWyULvOhqzqYUdW9dgiq3pskVV7tsiqPUNk1QFDZFUBIrJaWajIqjpvZFUPMbKqxxZZtWeLrNozpAUIQAACEIAABCAAASUCyKoSWJqFAAQgAAEIQAACELAngKzaM6QFCEAAAhCAAAQgAAElAsiqEliahQAEIAABCEAAAhCwJ4CspmRY7q5WKZutq2pJGJrb3t5w673dfHYbN1ouPe/UuuKVtLNJ+IbbnjP3cfnhOb+TmRedIWNHjUh62roon4btNnsc283m/DO/I5Mm7FQXrJJ2MinbSVNOlzfefq/7NM/ff2XSU1LeI2D+7y+6YrbMmTkNHhCoOgLIaoohMeK0aPH73bJknlyHDB4oZ518TIrW6rNKUobmBSn8JGp+PmTSeDn+yP3rE2CZXiflGzQXvGCZF39kNRpyUraLlyyXiUecIghq+X/VpGwLn3sL65c/IyXmLXhJppw01QcxbOhGyCpToioJIKsphsWI0tQfHd8ddTL/7GecO4N/8gQsbRnOuPZ2efLZhURXizBPwzccWTFRQGQ1Gm5StkagNtloA95YxXh+SMrWlD/puEO6o9REB2NALlIEdunZUVOfALKakHEQJbln1oUyeNAAv3bU7xI2W1fFXTA0EZUdx4xEACJmThq+hS9UyGr0v2QatoaliViFP6oOP3/U1T9/ic6mYWvetE6/7EY5+YTD/ecCnhfSzyZkNT07auoTQFYTMk7zhJrwFJkvbssweIEiN82NUEW9SCGrbtgGcz0cpWb+umEbDhSE3wzwvJDuJQRZTceNWpUhgKwm5GwrWglPl8niNgyDxT9EpopPjaR8CxevhVsmz7I356Rsi33qwpuB1edvUramhUKOvBFI/5KBrKZnR019AshqCsZJ86pSnCLzVdIw5IUo/rRIwzfcOjJVnHVStlEs4RvNNwnbNHIb/z+o/koiq/U35rXUY2Q1xWglXbGa4hSZr1KOock9M0ewPVXhz5kHZNnBpHwLT4dMFR+ApGxN+ceefr57AaZ50zV7zoMsyIxAnJStmaeTD9yreycW2KZ/4kBW07Ojpj4BZDUl46R7AaY8TaarlWIYltMgghIFgxXrxadIXL5RLSCrpf/1krINp1qwPZBbtuH9a2Gb/CUjvHVVUDtYsJa8NWpAQIcAsqrDlVYhAAEIQAACEIAABBwQQFYdQKQJCEAAAhCAAAQgAAEdAsiqDldahQAEIAABCEAAAhBwQABZdQCRJiAAAQhAAAIQgAAEdAggqzpcaRUCEIAABCAAAQhAwAEBZNUBRJqAAAQgAAEIQAACENAhgKzqcKVVCEAAAhCAAAQgAAEHBJBVBxBpAgIQgAAEIAABCEBAhwCyqsOVViEAAQhAAAIQgAAEHBBAVh1ApAkIQAACEIAABCAAAR0CyKoOV1qFAAQgAAEIQAACEHBAAFl1AJEmIAABCEAAAhCAAAR0CCCrOlxpFQIQgAAEIAABCEDAAQFk1QFEmoAABCAAAQhAAAIQ0CGArOpwpVUIQAACEIAABCAAAQcEkFUHEGkCAhCAAAQgAAEIQECHALKqw5VWIQABCEAAAhCAAAQcEEBWHUCkCQhAAAIQgAAEIAABHQLIqg5XWoUABCAAAQhAAAIQcEAAWXUAkSYgAIFsEjh7+lWyaPH7cul5p3Z3cN6Cl2TKSVNl5kVnyNhRI7LZcXoFAQhAoIoIIKtVNBhcCgQgUF0EomS1uq6Qq4EABCCQfQLIavbHmB5CAAIpCMy49naZftmNvWpOPnAv+dZRB8jEI06Re2ZdKIMHDZBJU06XQyaNl9lzHpQ33n7PL3/+md+RwRsN8COwwRGUD342InzDrfcW/XuKS6YKBCAAgUwSQFYzOax0CgIQcEEgKrK6eMny1WTVSGogo3PmPi4/POd3MmzoRjJn5jT/Mk487QL/a5BOUNhuUOf5+690cdm0AQEIQCBTBJDVTA0nnYEABFwSiCurJrJ6/JH7+6culFnzOxOlNZFXI69RfzdlTIT2pOMOkUkTdnLZBdqCAAQgUPMEkNWaH0I6AAEIaBGwkdXwAiwTOb3oitm+rAYLtKKu2aQPIKtao0m7EIB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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Let's take a look at how the reaction rate varies with time\n", "PlotlyHelper.plot_pandas(df=rates_underest, colors=\"blue\",\n", " title=\"Reaction rate, dP/dt, over time\",\n", " x_var=\"SYSTEM TIME\", fields=\"rxn1_rate\", \n", " x_label=\"time\", y_label=\"dP/dt\")" ] }, { "cell_type": "code", "execution_count": null, "id": "223d5c37-0ad2-465a-9f95-84bebda6ab7a", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "ce1f4c5a-a77c-4fa0-89be-b4f4e05c24db", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "e863f23b-0fb5-490a-9f60-fa1c9caf4c93", "metadata": {}, "source": [ "# 3. Guessing a LARGER value of `k1_forward` (OVER-ESTIMATED)" ] }, { "cell_type": "code", "execution_count": 31, "id": "fb94e4d4-68d8-4835-aa5c-3667798162ba", "metadata": {}, "outputs": [], "source": [ "k1_forward = 40. # Well above the known value of 18." ] }, { "cell_type": "code", "execution_count": 32, "id": "1db10d9c-96b1-4bf0-87ae-abc0cea690b4", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "282.1111111111108" ] }, "execution_count": 32, "metadata": {}, "output_type": "execute_result" } ], "source": [ "k1_reverse = enz.compute_k1_reverse(kM, kcat, k1_forward=k1_forward)\n", "k1_reverse" ] }, { "cell_type": "code", "execution_count": null, "id": "4adaea7e-f27a-42dd-a540-4fc88ca247a9", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": 33, "id": "5fafa258-abcc-4d8f-824c-bde254c1f48b", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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namelabelplot_color
0PPgreen
1ESESred
2AdenosinedeaminaseEviolet
32,6-Diamino-9-β-D-deoxyribofuranosyl-9-H-purineSdarkturquoise
\n", "
" ], "text/plain": [ " name label plot_color\n", "0 P P green\n", "1 ES ES red\n", "2 Adenosinedeaminase E violet\n", "3 2,6-Diamino-9-β-D-deoxyribofuranosyl-9-H-purine S darkturquoise" ] }, "execution_count": 33, "metadata": {}, "output_type": "execute_result" } ], "source": [ "chem_data.all_chemicals() # Nothing changed here; same chemicals as before" ] }, { "cell_type": "code", "execution_count": null, "id": "e902907d-f06d-4f2d-8b09-0a4f63817317", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": 34, "id": "86eceec3-5099-4bd2-838a-cf8207b43ee3", "metadata": {}, "outputs": [], "source": [ "rxns_overest = Reactions(chem_data=chem_data) # New set of reactions" ] }, { "cell_type": "code", "execution_count": 35, "id": "7cc40d06-d756-44b1-a55a-d556cfee46b2", "metadata": { "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Number of reactions: 2 (at temp. 25 C)\n", "0: E + S <-> ES (kF = 40 / kR = 282.11 / delta_G = 4,842.4 / K = 0.14179) | 1st order in all reactants & products\n", "1: ES <-> E + P (kF = 49 / kR = 0) | 1st order in all reactants & products\n", "Set of chemicals involved in the above reactions: {\"S\" (darkturquoise), \"P\" (green), \"E\" (violet), \"ES\" (red)}\n" ] } ], "source": [ "# Reaction E + S <-> ES , with 1st-order kinetics, \n", "# and a forward rate that is much faster than its revers one\n", "rxns_overest.add_reaction(reactants=[\"E\", \"S\"], products=[\"ES\"],\n", " forward_rate=k1_forward, reverse_rate=k1_reverse) \n", "\n", "# Reaction ES <-> E + P , with 1st-order kinetics\n", "rxns_overest.add_reaction(reactants=[\"ES\"], products=[\"E\", \"P\"],\n", " forward_rate=kcat, reverse_rate=0)\n", "\n", "rxns_overest.describe_reactions()" ] }, { "cell_type": "code", "execution_count": 36, "id": "fbc78df2-da88-4ed1-8878-2a6b2373d10a", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "SYSTEM STATE at Time t = 0:\n", "4 species:\n", " Species 0 (P). Conc: 0.0\n", " Species 1 (ES). Conc: 0.0\n", " Species 2 (E). Conc: 1.0\n", " Species 3 (S). Conc: 20.0\n", "Set of chemicals involved in reactions: {'S', 'P', 'E', 'ES'}\n" ] } ], "source": [ "# Here we use the \"slower\" preset for the variable steps, a conservative option prioritizing accuracy over speed\n", "uc = UniformCompartment(reactions=rxns_overest, preset=\"slower\")\n", "\n", "uc.set_conc(conc={\"S\": S0, \"E\": E0}) # Small ampount of enzyme `E`, relative to substrate `S`\n", "uc.describe_state()" ] }, { "cell_type": "code", "execution_count": 37, "id": "e99b906d-028d-43cf-ba69-13843903545a", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "864 total variable step(s) taken in 0.03 min\n", "Number of step re-do's because of negative concentrations: 2\n", "Number of step re-do's because of elective soft aborts: 1\n", "Norm usage: {'norm_A': 829, 'norm_B': 835, 'norm_C': 829, 'norm_D': 829}\n", "System Time is now: 1.2001\n" ] } ], "source": [ "# Perform the reactions\n", "uc.single_compartment_react(duration=1.2, initial_step=0.05)" ] }, { "cell_type": "code", "execution_count": 38, "id": "26359ff8-ceb7-4da7-97e2-9a0df0a5053b", "metadata": {}, "outputs": [], "source": [ "history_overest = uc.get_history() # Let's save the historical data for a comparison at the very end" ] }, { "cell_type": "code", "execution_count": 39, "id": "54e123a5-bcd9-4702-b7d7-8490390960ad", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "plot_pandas() NOTICE: Excessive number of vertical lines (865) - only showing 1 every 6 lines\n" ] }, { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "hovertemplate": "Chemical=P
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Changes in concentration for `E + S <-> ES` and `ES <-> E + P` (time steps shown in dashed lines)" }, "xaxis": { "anchor": "y", "autorange": true, "domain": [ 0, 1 ], "range": [ -0.0007344423244624129, 1.200813200496045 ], "title": { "text": "SYSTEM TIME" }, "type": "linear" }, "yaxis": { "anchor": "x", "autorange": true, "domain": [ 0, 1 ], "range": [ -1.1111111111111112, 21.11111111111111 ], "title": { "text": "Concentration" }, "type": "linear" } } }, "image/png": 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MzK5/q1zxkVzPTVt5IMaSoBrHx4e6VY55q9Skso/yisVpluaTx2Q1Dzdr4qe6xlS4xrEZNYfh4CLbqKSbLS9swiGrPFZux8UsPbdKzFmjxtkszTj3X5FiD/txz1vtA7v9HqlcyzdPxrW1IsHxygWc7r++I6t2TxFSUKRggKyCrHp503LaLJFey89kVe4lv97sopVelQ/8cAm6PI+M7SWWXr365TGGQ0S4nVckXs5V5TV9rHCJdD+G0z5csmp3LXnPU5EXWddsXaWcqKyR09wlGXb74CBlP9w9pR+Xn/e8HmN5rkcjo57EwGwdQFadpDjKv/NTBJcv5v/T9EosGNlrt9Bvxt9AIKtRXoxK1n15ktXyhpoJxrpN31nuu/Ien99uXFJW7DQqjOnUx+8LGzqpUYmEcEoCE0kfPAFVshoLXMIG1IOG5U1WJYm0eqjke+Koa/tSi9TGYc1WrzkMl/Tq34pGQlr9tuft9oGXJF2/cHwGNGlU31QjH6l5QVgCEsVGTvdfX2lW3QqnnqyO/Z8naP/BwwEojRvNSn1vrOemT76Y2esufsLas+9gyI3fOAazJzGzV0IqT9xmC+12LlZyaDYm483PaLZhdnOUB/3sZx+mATf+NnA5qxup2WsgIxZmdaxel2SltyF96lx9X1avLWUdPZaT/jyDNm/9URs/H8ZczFLy6g9qN/3rbzQquEa6zmavFPWy6XYMRnxGD7sq4iPO7dmgesFwNatOB6vq9c3qeUFSjf1GSlrdktVISIpb7KxeF1tpvPnMd7pfWJ3tfFZxsVKmuB0713ejWY0GWdaTMP53uCTVOPdISavf9rwdWVV5SHMrG3ZnjNzP+j7lfdSsnZSbJ343ju56aHKgmTznjXvIinOo3G/d8Ah5Haf7I/fpK7KqeiBKMPSbQb/BzDY0953apKGmkZXF7Hpu+rTaTGav38zsToxaZDOBV92wdmTVeAC5OfCsrs9jZ9LJxMrsad/uOyM5NXtCNFsbPtT5JiNvFGZ2nmbt5MY2I6dmhNLsRquXC+MrGcbo3SXLgp5+zXCzO3zM3hKo4upGZq0OEombkeiHMwa3rw5VDnHVfaDSl75OuGRV/wDnlelENEiqFWl1+8pS9WyOBi5Oa6q6/9zsE7tzrzzJqtEUzgkbp9+90KQ6XcPu7LRr67c9H2uy6mSaZaVZtSKrrGDR73v9XjX73vjWSPV+a7amKtzG7v7IY/UVWXV6xWH15GZ8ErSz89D3YeZUYmVaYNanlbAYyaBVn8br29VbnrOZ7DRUTppVvbZOFR/GyulVg9PTn54gWpFkI1FS0VrZ1eGbfteOrQOvYK3mYHzF4pZMOh3SxnG46d8Nrm5k1g1Z9WIMThip/h4tZ4twySqP22pMbsm6lP9IX9WrYin3Nf+t8tZGf5O2uoa+H69wcTMfs7rG/edmn6ie7ZGOkdu7dbCSDzX6a7t9+NCvkVeaVCcsrB4WrNr5cc9bPbSpPsw5YaT/3ck0yy1ZNXvba2Vm4ObeaNxnZnNU4TZ29xvmDpWKrFqpmvVPEKoHmhOwesGw02TqPaD1m9OttiYaZFWFNNrZDRvnrUpWVWyRna7LG0Z63saKrJq9mtHfRNyQVaf56eVLVWbtDkozzaoXY3BzONvV9ULL4uTRrr++2/1ntvaqr8LDIatmphtuIhCYvW1QkQ+3xCYSXNzKjtP+U90nbs52t2M0q+/GDEDf3miew7+pPvCEQ1at7p+qeyVcsqq6j8yw9XrPm5FSiaXqg5+qzNhFkJAPnGbXtDMDMJqvWN2TVRVuPA6ncXIdFW7jpBzxJVlVPRBVDx8GyyzwuDwkwiGrdtpJ40KbPQnrBdZJK6Hy1BwNsqqigbV6fSyFmF89yMNMlaza9SlxczqE9Id2tMmqHIvx4HDzdGqUZTe4utkHVgel2fW8GIPqwexUzwuyanaNSDSrdmMOx4O/IpgBOK1jOLg49am6/1T3iZuz3WlsKr+HS1aNfcv5uXlogRmAygqdq2N133H7NkXlqk4k0AvNqipZdXO/tZqbmaZcRZkj94evyKrbG5Lq4WPF2GNFVp2Ezk5wVW2UokFW40GzqvJUH22yGo3+vdBqqjxsGMm/Hk8vxqByKKvUcXs2qPQptRORaG6cyL/qg7e+n2iQ1lg5WDnhHo3Xpar7T/V+Ea9kNRLSGw3SqtekhrPH/LjnoyG/dmeIXYSWWJJVJ/tZp31v9ruR28SVZlXePPhvKxLCG3Lews9tQ1cZDxurwycSsmrWVi6IGxW6fhF58cxC3TjZjXIf0SCrcj3MXjUwpr0zO1Be/j7Nu9DsMDKOW1Wz6vS6nJ3kVIi0xFb1ZmYXGN/J7thMm2HUrLrp32nj6tdE9Sas8lCk33dejCGcQ8ysjd9uXDyeFs0aUe+sjqZTdOPEaIWRF6Q1UpJqfJhxIt+xwEWPl905bNx/qvvEzdnuhXy7IZlW9wire4Db8XlBWiMlqXLMftvzPK5YklUngmhlKxoNMwA391srYurEbezuj76zWeVJepEUwEhOzQ4D/XXCMQOwElwpYEbbIassFCz8HFKJnafMvO1UN2y0yKqcj56MyjHJG5e0nzNGZNCbADBeqmRV1uX2+j6NBudmeHFbHt/q3K2uHay4rZXBuZ2W0Sw2sFxvowmHm/5VcVW9Cbslq1brYOYIqWJn7PbGqa+vug/cXiNcMwA7Gywpl+Fok8zGH+6rc26nasPohJvqTTqWuMgxq+4/N/vEbL7h2BY74aq/56nYPMpzxfhwbJcsQGUMxjpyj7t9vW12vwjn+vIc55CAXu0jOY5w93ysyaoTQbQy04oGWdXP3Swajv5+a0VWl36RQ/q2Zme61f3Rd9EA9JO0spFQeU1ppkk1elzyIS7jfYZLVvULKMfOfeVs2Kr915haT2VOZo4TKgdGtMgqz8PMsN44JqOxv12cVaORt9WmM3MgMGrcrTxG9eNT1azqbxxyPc3irJoF3DbaJctYjsaAzkY5dOpfBVc3N2GrG4edfWokYwj3RmVsZ7XOsl64pCySG5eVF3e4Y/EKq2j042Szpida5YGLyv5zu0+Mc2bSxCHqzLyqI8HcbTQAq7XwmtRFMicv2vpxz6s+tHkxf+7DirzJ/vVyrxJnNVwHK3k9lfut1dxVuI3V/ZH79JXNqlcLXN79qIRyKO8x4vpAAAgAASAABICAfxFw43fg31l4MzKQ1QhwNL5u5q6i/To0guGiKRAAAkAACAABIBBHCLiNPx9HU3M1VJBVV3AFV7ZSiat4qEdwWTQFAkAACAABIAAEKgECdn48lWD6gSmCrFam1cZcgQAQAAJAAAgAASAQZwiArMbZgmG4QAAIAAEgAASAABCoTAiArFam1cZcgQAQAAJAAAgAASAQZwiArMbZgmG4QAAIAAEgAASAABCoTAiArFam1cZcgQAQAAJAAAgAASAQZwiArMbZgmG4QAAIAAEgAASAABCoTAiArFam1cZcgQAQAAJAAAgAASAQZwiArMbZgmG4QAAIAAEgAASAABCoTAiArFam1cZcgQAQAAJAAAgAASAQZwiArMbZgmG4QAAIAAEgAASAABCoTAiArFam1cZcgQAQAAJAAAgAASAQZwiArMbZgmG4QAAIAAEgAASAABCoTAiArFam1cZcgQAQAAJAAAgAASAQZwiArMbZgmG4QAAIAAEgAASAABCoTAiArFam1cZcgQAQAAJAAAgAASAQZwiArMbZgmG4QAAIAAEgAASAABCoTAiArFam1cZcgQAQAAJAAAgAASAQZwiArMbZgmG4QAAIAAEgAASAABCoTAiArFam1cZcgQAQAAJAAAgAASAQZwiArMbZgmG4QAAIAAEgAASAABCoTAiArFam1cZcgQAQAAJAAAgAASAQZwiArMbZgmG4QAAIAAEgAASAABCoTAiArFam1cZcgQAQAAJAAAgAASAQZwiArMbZgmG4QAAIAAEgAASAABCoTAiArFam1cZcgQAQAAJAAAgAASAQZwiArHqwYEcLS+joiVMe9IQuaidXJzpzBnh6KArNGtSg3QdOeNhj5e4KMurt+lcR3TURMloAGfUM2BRxjp4W5+gx3Jc8w5Q74rMUpXwQAFn1AHeQVQ9APNsFiIB3WMqeQFa9xRQy6i2eIKve4sm9gax6jynIanQwVe0VZFUVKZt6IKsegAiy6h2Ihp5AVr2FFmTVWzxBVr3FE2TVezz1D/7R6x092yEAshqhfDz++ONaD2fEKxcuVapU0f7I76pVq8bfUlJSEp04cYJqJCdrvx8/foyqVatOdevVo9Onz1D16tXp4IH94jeiBg0bU0qdupRUI5nWr8mm9G496bzzzqP1a1fRldcMoW82r6NGjVO1fvb/tJfatO9MWzauo0vE3wfE/8+rWpUant9E1MulXw4aQbNmTKWx4+6nzRvWUmlpKXXJ6E4fLnybMrr3pqbN0mj2y8/SyDHjxPVq0Ouznqfho26m5Jq1aMmit6lD5wxq1rwl7d61Q7RfQ/2HjNTmJn9LTbuATp48QV99tkT024MaNWlGp06V0MeL36Uu3Xpo/XNZt3o5MUIZWb0DiM95eRqNGH0bJSfX1L7jdrPFd7+eMCnIDOCNV2fQ4OGjqXZKnUDbTbk5VFxSTB27dKOEhMRA+43rVlM1gWWn9Kygld2Yu5pKSkqoc9csDXdZTpwoDBq7URz0eOh/4/XOzVmhrUF6Zi9TKfro/XeoXceulJrWUls/fSktPUX5eTvou62bqV//oabtVa7BDfcW5AvZWEl9+w2iRCFnxiLJKtfLXbOC+g0YFoSB2cU//WghtWrdjpq3uICqVmUZti5W2Fq1YFng0lUnC3b9O62RVdtcsXdOnz5N6UIueU/oi7FPI4Z7CnbR2lXLacCQ67W2xcVFNHfWdLr17gnEZLW46CRlZ68U+zaBOqZnWso0/6DfX/z/kuJi2rQ+h6oLuWX51ZeZzz1Nt4+fGCQvPId/T59M4+6bFDLVpR/Mp7YdulCq2KPGOb7y4jM05pbxlJBYtj9kMduf+t8LducJ2c4We/06MY5g3Ljevj27hRxl0xVXDw7p22l+8jqnxTnEMstj5vWxMwMw4me13mVnUjdxXrUI2W/6NsVFRfTZ0kXaudq4aaqd6Gnyw/tUnqW2lc/+WCjO9gXzXqMbb7tXpbpW5+iRw/T+gjdo9C33KLdhDHflbadvt2ykqwcOD2qnoln9cOE87Zzk813es1QuzvLD52xVcW/r3LW7SpOgOhvWrRJn/amQs9ipIz4PC/J3avfBgUNHOVUP+V3K7eX9Bor7sfvX+S9Ne4oee+wx19dFA28QqPRk9U9TX6M33/ssgGafrI70wlMTg9C9+6HJtGz1Ju074+8gqyCrIKvmDwJWRxTIKsgqyGrw7gBZdSY0IKvOGFXkGpWerA686be0eM6TgTXm/48YeBmNGzNI+47JbH7BTwECy8Q1ten59OgDN2u/g6yCrIKsgqzKA8T4toC/h2Y19BYKsgqyanzL5US0QFadEKrYv1d6smpc3plzP6Cc9VsD5JTJ619/N47SO1ysVc3d/D098veZQQQXNqvebRLYA3qHpewJNqveYgoZ9RZP2Kx6iyf3pmIG4P1VK36PiAZQfmsMsmrAnjWnmV3aaJrVgn0Hqd+oB+mTeVOoaaP6Wk2z70BWvRNgEAHvsARZ9R5L7hEy6i2uIKve4gmy6j2e+rM0Wr0b39pG6zrR6NeMF3l9HZBVHaKsVZ364lv09eevWBJT46JUW7+J5qQ1p0E1anm9NpWyv4Tq7NBxRjhPna6U84/GpJlc8QMVijcIQEa9wVHfSy0ho8cgo54BmyjO0TM4Rz3DU3akPaiGWYz+MdxNy+aNA29py4Os8pvim+7/K82Z9kjg7XE40wNZDQe1MNss/nQVTfrzdEctqnFRVGxW2dOSvQ8Lhed5TfZ8F6qE48dENADhtV6vXgM6c7pUeLQn0E/7fxI/VaFGjbtKMy0AACAASURBVBpTnbp1NS/5VSuXU/eevTXv1tWrsmnw4GGUm7uWmqWWRQPYt3cPdezUhdbnrqNOnTvT3r17hfd2VWrcuAltWL+Ohg4fSf965mm6974JtG5dDpWeKqXM7j1pwdtvUs/el1LztBY0fdozdOsdd1ENEX3gxen/ojFjb6datWrRgnfmUdeMbpQmPMLzdm6ntWtyaMT1N2gIy99atLxQRDkopI8/WkxZ3XsJ7/9UOiW87t979x3q3qOX1j+X7BVfMQfVrinLjOf+SWNvvYNqisgDXLjd9OeeoYmTfhtEVl96YRrd8KuxIkLCuWgAa3NWCQ/tYsrIzDoXDUC0z8lhD+3q1C2zR5AkrBHflxSXUGZWDw13WQoLjweN3Sg+ejz0v7H91MrsZdoa9OjZx1Tq3p0/j7qkZxBjZIwGwN6wO3dspy1fb6TB144wba9yDW64O3+XJhv9Bw429XKVZJXrrcxeTtcOHRGEgdnFP1i0gNq07UAtL7hQRA6wjwZgha3VVtRkQZSevc7Jgt22dVojq7a8d06XnqYsIYe8J/TF2KcRw/xdeZS9/CsaLuSd23I0gBeef5b+Z8JviMlqkYgGsHLlSvHvBCGD5zyijTLN19TvL/4/97V2zWpKFNEAunYLjlox9R9/o/998Lch0QD+OeVJeuA3vw+Z6nsL3hL7Pl2TMeMcp/1zMt15z32UmBgcIcJsf+o73pW3k1YJORl23aiQPrlewe58cS6toAGDhoT07TQ/eR2OSrJ61Qqtfz437MiqET+r9dafV8b9pm/Da7f4/YXa+dQstbmd6GnRAHbu+DFwltpWPvvjMXG2z539b7pr/K9Vqmt1jhw+TG/+Zzbdeff9ym0Ywx3bf6DNmzbQtcOuD2qnQlbfees/4jzsrp3vbqIBcFQV3vN8LmRm9VQer6yYszpbnPWnqJs4i/msVi18HuaJyAyrV2bT9aNGqzYL1CuT2+V0zYDB2r3ObZny9BNhRwNo3/fWIGIqr80EtlnjBtqb3PIgq24xsKoPsuoVkg79GDWq+upONqsqZBWhqxC6CqGrzu0qRANANAA4WAXflBANwPlmz2R1w/dr6IdNWyjz6r606+iOoEZ5R4L/v+vozqDf9+/bRw3316WCZj/RqaqlZKx/pOhnOlJ82LLPP9IfwyKrTEhXrv06yM/FbLaSrPJvMkKRXvOqJ7j6CEZ6M0XpID5/8Ze0Y9dercnTfxhPTRvX1zSossg2ZiTTqAHm9gOv6q45m+uvy33ZvYV2XlF3NSq9GQALCBdjuCq9YCAaAOKsctxZfVGJgYo4q+aHEcgqyCrIasUkq5IAMulj8sflcNG5fzOBTCgQMaeFldf+BofocEkZOdQTRz1pPMwEUrTnwm8dLxSf3uIzW3zclubUnC4Vn4Xic1x83JZwySprVR+4a2QgwpDVdWWITEkOuR6Tzx4Z7QPRh4zRieQbYUkauT6TVElG5e9GcwPJeYxk1Uis+feXXn9fuz7/dueNgwP+O3ruBM2qW2lyWV8CbNZMb8NhF2e1Su5GulS8rv9Pw2Yur47qZgjAecV7uUA0AG8xhYx6iyccrLzFk3tzEw2AyaBGCnUEU5JHqZ3k3yTp5L+5SFKpJ5TezyS4x7SUloEvmtc+92/+Uv+b9v/aZSZosjQ3/N9YPyWxLqUknDM1M+vTbTQAyTFUbELNzAD00YmsCCET1PtvG6FpP42hN83acJ+seeWQnfrfeb7sUK4yVq7LRHjarPkh/UhndK9lodJrViMFlMlqHZHlZUvziyLtCu0FAiAC3osByKq3mEJGvcUTZDVyPCXhlK/G95/Mp0MnD9H+44c0EqonmtEkmSmJdajOWdLH5I9LHfFd0L/PEsLa4m/+zUgK9aRR6+tsnchRiryH8iSr0hnKbBZSG2tFVvUE1Ipk7tl3QDMVkFpas+tIza3+N64PzWrkshX1HtK//Z7WF56gO1Pq0R/rNoz69Sr6BUAEvF9hkFVvMYWMeosnyGownkw884Q9JpNKSTJZwylJ5zmt544yjehZTWe4q2JGMKXWUWonJbFkIikJpiSVfiOU4eKg0s4tWeU+3ZgB6BMOcVu9ZlWSVScyqU9qZKbZDZes8jxuGHplwCRBb4IAsqoiPeVcBw5WyGCFDFbIYCWPIWSwIhF1w9omV+JU2WxWmWCy1tNIPvl7/u5UYRFdeqg3TREf1VKVqtJFZy6ijCoZtDjxQ02jKV+NX1T/Au3/Nc6rTWZEk+ut/2y5iPYiIiI0b+kqGsCpUyW0cd1qqiqiAXTuei4Shuq4N6xbRRwNpbJksHJysGJCahUNwMwMwO41fSSaVV4/KzMAM6IMsqoq8T6pZ0ZWxc7n6FTETjhlYX84dFWSCPF0gmokJ2sHw/HjInRVtepUt149ER7ljBbC4+CB/dyUGjRsLMI01aUkEV5j/ZpsSu/WUwtls37tKrrymiH0zeZ11KhxWeiq/T/tpTbtO9OWjevoEvH3AfH/80Q4mIbnNxH1cumXg0bQrBlTaey4+2nzhrXE4U66ZHSnDxe+TRnde4tQU2lB6SBfn/U8DR91M7FD0ZJFb1OHzhnaYbZ71w7Rfg31HzJSQ17+lpoGsgqyCrIKsnruQK4sZFWvAS0jo2Xaz70Hd1P7/EtoYb0PzmpIgz3MzW5ddc7Uoduq3EbPiA9rOtMEmZRaTP6bNZySdEqtZ7OaaXTip6OU9/02unrg8KBuVWxWP1w4jzqlZ4GsKnKJl6Y9FVY0AKldNXr2SwIona+cbFa5H+mRr9euMqHN6NRai5MaCVllW1MeQ97ufYHIBdLBih2rjESWNa1cYAagKEDlXc2MrJ4+S1YFW6XqIKvaErEHuAizShlZvQNLZtRC8RP77Jen0a8nTKKjJ04F6r3x6gwaPHw01U45Z/y+KTdHxGItpo5dup2Ls3r2iZ/jqPIhrC8bc80JFceI/eqzJYLA96BGTUKd5PTkXd8fogGcQ8MKW6u9iWgAiAbgd80qE9Gv92+gwyd/FjGmf6TS3Scpp966gGb06/0bLW89QpdJd4nPZPGRhQkmazOl/aYkn/w9f5dwKpG2/t9auvHWe5VvaYzhrrzt9O2WjSCrCqjt27ObcoXy5/J+A03jUTt1EQlZ1RNN/XWMjtx2ZgCynV0IqUjJKl9D71DO/5djlCE+5TjYTpZj04OsOkmOj37Xp1vNPllIDxzcR3mCOHFhW9YHU+pTitCMojgjAHtAZ4zc1oDNqlvE7OtDRr3FszxsVplssk2o1IjmCa2ofFVvjL9pNVu9BpRJp5GAlmlEWUMa7GHuLXrmvaloVmMxjop2jXBsVisaBuU1H0QD8AB5PVnl7o6IrCczj/5Mkw8f0HpPE6/7p9ZvRD2T3GfN8GB4cdUFiID3ywWy6i2mkFFv8YwGWTWSUf4/24aytlTFIUlPRDuc30kLacShj5iUlicJVUUeZFUVKXf1QFbd4eVlbZBVD9A0klXZ5dclRfTYwf2UXVSofdU/uZYgrcIeFVpWS9RBBDwQSEMXIKveYgoZ9RbPcMiqtBdlLSj/yT+2kzb/VKYttXtFL0fevqEgoKz5PKsR1RNR/i3eC8hqdFYQZDU6uKr0CrKqgpJNHZVoAGx9eUzkEE8SOalPCEer2iIu63nCVhIOVtNoxOjbKFkkVeACm9VgQVOxi+UWewvyhfPdSurbbxAlCvkyFklWuV7umhXUb8AwTfbsyqcfLaRWrdtRc5E3vGpVdhK0LrBZzQyAg2gA3kYDYOK5cv7HdDo9gfKL8jRCaqUdHUNjaLX4/CA+qSlpmo2oJKPtBAFl21D+rnFiE/ps6SLNcbVx01Rb2T4t3pLli3z00llV5XZRKJxnF8x7jW68Td3+FOlWnZHl87Agf6fmaDxw6CjnBoYa5W2z6nrAaBCEAMhqhAKhQlY5GkA1QSIKCwvpWFIilYprppw8SUmCMNSrXx/RAEBWTaUQZLUMFicnOKstzM4UTDbShfMcR8jQF2OfRsK/p2AXrV21nAYMuV5rW1xcRHNnTadb756gJa4oFg+e2dkrRRSPBOqYDrKqx9ZtNIBfdGhLu4u30oZd39GWA5tCNKQP0UM0TXwKxUdfpHaUX9On1hLe8t8nUFrbVtSzXV8teopVKS4qAlkV4CAagLubf6QOVu6uhtpGBEBWI5QJVbIqQ1edrpFEP4sbaLIgq6XiJphUtx41rHIeQleJdYBmNVgYQVZBVhkBJtz/nj6Zxt03KeS0WvrBfGrboQulivByRkL+yovP0JhbxlNCYmJQO95nHy9+l7p066GFrjOWgt15lJuTLcLUXSdIXzDJ57pSQ3XF1YND+ubfrciq9LBn7ehu4dB04sejVFC4mz459bHlKcyEdOjBIXSg3VFqWrc5afaj4vW92av6snB63UQophYgq+KB6rTQRB7TRVUxggyy6u7mD7LqDi+va4OseoColc2qVdfsgPXYz/tp3rGy+Hs9E5Pp8foNqX314JuKB0OLuy5gD+j9ksFm1VtMIaP2eOpJqbQltXNsYmemrk3TKUkEsGcSyq/s+fV9RbAd9Vby1HuDzao6Vm5qwmbVDVre1gVZ9QBPt2RVXhJhrkLBBxHwQCANXYCseospZPQcnmxTyg5OW8Tf8t9WDk5MSts37KxpR/m1vdSSdhDktEmDGlRw4IS3C1WJewNZjc7ig6xGB1eVXkFWVVByqBMuWeVuWcs65chBeunIIe0qlT3MFYiABwIJsuo9iLoeK6uMSjK6cvdXto5ODBVrRVk72qPZpbav7rluONEAorrAFaBzkNXoLCLIanRwVekVZFUFJZs6bm1WrdKtnhD2q4cO/EQcOaBApFqtX6ce9albn7YIL2+kW0UGK6uUriyaiAZgvkHhYBW+zeqyFUvpTLsE2nKwzOEpO//LAMhplEaXVbmM5p+ZT9UTEwLaUiamTFBbp7ShTetzqHpCopZhzqz4PYOVHDOiAYSuHts8b1y3mqqK7Iydu3Z3fQfdsG6V8E84JdpmOUYl0XeOaACuoa5QDUBWI1xOr8hqdZEi9OCB/VQkjOJ3pKTQTzVr0qnEJOrx3VbqKkKssHcrh+y48pohIozKOmrUOJWqiLSu+3/aS23ad6YtG9fRJeLvA+L/7GjR8PwmgXArs2ZMpbHj7qfNG9ZSqUjR1yWju/AEfZsyuvfWHCxmv/wsjRwzjpJq1CB9etEyh4UMLXf07l07RPs1wulipIaY/C017QI6efJEUMpSMwcOpFsN9k4uLT2lhcT5butm6td/qKkUwsGqDBZEA4iug5VRY5q/azv1rdKX5orPKe3xuaxIbWmnpC7U5GBD6nfNMGpQ+/wQ2XUbDYCjNdiZAejPJ7vjGg5W59BR0azCwcrdzb+iOViZpW3Vp391h070a4OsRoix12RV8E+q2eB8Wi88eH8QpPNSQVZ/bNeR+tesTT/m5oCsnl2vTQKL4pJiTXOTIDQ4XOQTfzVB/DulZwWtrFUsUCcipCfvxqf83JwV2gODldbzo/ffoXYdu1JqmvDUNoTSAVkl6prVW2n3Oa2RVSfQrIZqVtn5afnOz2nHyq20pvo6Wn70y5CMTi3OtKBBCYNpR1o+ZTXrrb3GZ1tTmTY03GgA+nWCZjVYahFn1fkogGbVGSM3NZiscnn0gZu1v3M3f0833f9X8ithBVl1s7oWdSOxWbW7PEcL4KgBbNfKWa/urF2PxtWuW6EzYFVWe0APxNCyCzhYeYtuPMkoa01X7PqS2M6UHaHMnJ+k5720L9UTU2+RM+8NNqveo6yiWfX+qhW/x4pks2okq7x6dz80mTK7tKFxYwb5bjFBVj1YkmiRVR5aZXPAiici4IHoxKQLkFVvYfarjMqQUdn5X9EK8ccsXJTeI5/JqXy17y1C7noDWXWHl0ptkFUVlNzXiYSsLvp2kfsLetCiVf1W1Pb8tiE9gax6AG68dRFNsiqxqCxhrvxKBOJNJvXjBVn1dvX8IqNSU8paU9aemmlNmYy2P78z9WzWR/vbj7FLQVa9lU/uDWTVe0y5x0jIarvn2tE3+7+JzsBset1y7xYlsrr401U06c/T6ZN5U6hpo/oxH6fTBaFZdULI4fdo2Kw2aNiYUkREgKQaybRepIzURwM40ucK2vfNBtouIgVUP68K9T5eSP1F1hY4WMFmtW+/QZQo0voaiySrHDUgd80K6jdgmKMX7qcfLaRWrdtR8xYXUNWq1Wx3gZU9sFUjdrbjApvVUG/5mc89TbePnxhk4ywzWF0zdpTmlZ+9exl9/dMGjZz+SnzWis+2M9vodJXT1DP1Ms3GlLWmez7eRmNu9U8GK708wGY1eHfAZtX5RhzvNqvXvnGt8ySjUOPJfk9aktU33/ss6Ip+Jao8SJDVCIUj1mSVowGs27iWVqXUoR2lJdT055/pRKs2dM3O7dRFpF1ENIDVBAerYKEGWe0RkorU6LRlDP+1p2AXrV21nAYMuV5rW1xcRHNnTadb755ArFktLjpJ2dkrRZrkBOqYnhkAfM7L02jE6NsoOblm4DujN7udt7yerLLmVCOn+cuozdYL6U/ioy/8Sv+mKjdR7Rb1qFvbXtQrrW/Q735Ltwqyan2zAVl1vhHHO1l1nmFsa5iZAcR2BO6uBrLqDq+Q2uVBVmXoqs3CG37znnzKEdqvHtt/oKZtO1K3Y8eohoh/h9BViAYghRVkNT7IKpPTJa+9SVvabNPsTeVr/SpnqtAfqvyBnkn8J/USmlPpCMVa1KUfzKe24iE1VYSXY1KtLyCr5od7cVERfbZ0kfbGqnHTVNs7AOKshsKDOKsRkgafNAdZ9clCxHIYsbBZtZpPRXPA8os9YCzlJ9rXgs2qtwh7KaOsOf3ox/dNbU5ZcyrJaa/ml/nS3tQLZGGz6gWKwX3AZtV7TLnHSGxWozOi8HsFWQ0fu7htWZ5kVYLGDliPHdpPX5cUaV/1T65FU+sL21dDfE+/g+wlEfD7XGM1PpBVb5GOREZlKCkmqPqsUHKErC295sLBmt0p/7syFJBV71cZZNV7TCsaWY0OQtHrFWYAHmDrB7IqpzHl8EF66eihQGzWB1Pq050p9TyYZWy6iIQIxGaE8XcVkFVv18yNjAbsToVTFJNT/r++SIcoJqiVhZwaVwNk1Vv55N5AVr3HFGQ1Opiq9gqyqoqURb3ytFm1Srd6TGRV+o/I2V3z+630RlYP+sMHi6jj2HFU89stSLdqyEftlB0JGawQDcCtg1WLvm3os4KlgVf7D9FDNE18CsWHA/D3aXoFZZ3OpIsaXEzduvUJOlnsogGMu29SyCkEm9VzkCDd6jksVMgq0q26u/lXtHSr7mZf/rVBViNcAz+SVb65soPVio1raGpGJt383jv0VP9BdH/+buolvJe7d+tBHy58mzK696amzdJI762sJ2dlh38GNRPOG7t37aDNG9ZQ/yEjNcTkb6lpF9DJkyfoq8+WUBeR47tRk2Za2tOPF79LXcR1uH8uHK7ojPg7Q5di0+g5ze1mC2/qX0+YREdPnMtJ/sarM2jw8NFUW0RAkAXpVs8JrtGT3SjScLCKroNVy3atackPC7WQUhdubUbTTk+j41WOB5bh4fMeoYTMFOp14eWa3alqNADZgQxdBbJaw/a0BlkFWbUTEJkm+PJ+AykpyV6WzPoBWY2QLEXYHGQ1QgD9TFa/2ZxLPURMzTdffIb+es1A6v7DNqp55jT1z+xNyZ8tBVkVaw/NqvkGQJxV+9BV63atoc+XfUbfHt5Cbxx+PQDib+g39F4t4WmelkWj2tyovdoPN3QVyGoZAkb8rI5skFWQVZDVCAmNj5vHnKwOvOm3tGPXXlNIvv78FR9DZT00P9msWo0yT2gtHziwj7KLCrUqPROTaWqDRpRWrbqvMHdjD+irgft4MLBZ9WZx2OZ03tbXaeXuL2nn4VDbU0lO+VU/ijoCsFlVx0q1pooZgGpfqHcOgYoUDSDe1jWmZPXuhyZTatPz6dEHbo43nGzHGw9kVU5g3rHD9NjP+zUHLC4T6zSgcbXr+iZqAMiq91sDZDU8TI8UHaYVZ0NLGZ2jWtRpKeKdlnnuc3gpDjOFEh4CIKvh4WbXCmTVe0y5R5DV6OCq0mtMyWr7vrfSnGmPUHqHi1XGFjd14omsMqhmsVn/WLehFu6qvAvIqvcrALKqjqn03ufQUkt+WBTUkO1NOd7psDbD6NK0y4LsqtWvgJpGBEBWvZcJkFXvMQVZjQ6mqr2CrJ5FavGnq2jarPm0eM6TQdjNnPsBTX3xrRA8pcmC321WfzloBM2aMZXGjrtfOEitDYoGUCO9G02vUYMufe8tmnbl1dRZaFivXfweXT/qZkquWSvgRAUHqzI89IVT/+XmrCCOyJCe2ct0v330/jvUrmNXSk0T2YUM8W5LS09Rft4O+m7rZurXf6hpe5VrcEM4WJkfd7lrsomdk9KF458xu5PeVrkouYS++voT2v71tzTr5L81r/2W4nO5+GxrtpOuvmgg9UvrT1+8/X5M063KWcHB6lkaOWYcJYmzyq7AZvUcOipkFdEAVGlSWT04WLnDy+vaMSWrbAYw9Jo+NPCq7l7PI+z+cjd/Tzfd/1etfcvmjU3Jas76rfTCUxNNrxHPZFVGA3jppX/R9Kv60V5hv/qbpUuIBg2nOxo3oxUilSOiATxPw8+Sd5BV8222MXc1lZSUUGdDWDCrTcmRIbh01UWGsNvATk5wVm3tyOq2fd/SV//3ES2j5fThT4uo+ZnmdFmVy+hd8emc2o2uazKSEvOr0rDhYzWiW1xcRHNnTQdZFWBLr+orrh5MCYmJIfDbRTsIEPDSUlq/dqWGLT9MNGlQgwoOnDBdSjhYmUv4aYHhrrzt9O2WjXT1wOFBlUBWQzFDNICwaZIvGsaUrDIxfOTvM0MIoR+QsNOsVnSyyjeD/qNvp+eKT1DK23PpxcuuoLq1atOEnFXUJz0LoatAVm23aLyQVX7Fz6/2+RX/BuHNP7TKUEFWl1Ge+Fzf7FeUXtyFBg/8FTVMaUR7CuyjARQXnaTs7JVUXYSC65ieGcDHGI6Nf0A0gFDxYaIFsnoOl6NHDtP7C96g0bfco3w7BFlVhkqrCLIajBcrD5et3hQC4tN/GB9QKLLppr70yepoqbhztxrua8eUrBonbhxueUYDUDUDMNO+xpvNqp2YcNrWyYcPlVvUANisut/ETi0qs82qtEFlL359elN2iOp/0bVhOUhBRp0kzt3vsFl1h5dKbRXNqko/qBOMQEVysGKymtmlDY0bM8h0mTly04iBlwX9zm2s3jJHW1ZiSlajPZlI+rciq8Y+ebG4lNeCRTJHN22f2fcTPb5nH/0sNCBc/ti0Cf3v+Q2ornhthwIE/IzA9p+30+fbP6dXN7yq/S1L3aS6mnPU0EuGan+jAAEgAAQqKwJ2ZLVg30HqN+pB+mTeFGraqL4vIAJZPbsMqmRV2rjqtcAVSbOql8ryiBoArZX350Jl0KxymCnOImXmxd//oiGaBnVU27GegAsZ9QTGQCfQrHqLJ/cGzar3mHKPEWlWFwVHF4nOCE16bdWKqG3bkB9UNKtpzRr5RjEXc7Kqd2iS6PkhnFW4ZLUiOFg5pVvNa3g+vfLfrVRn69f0eo9eWkKBX61aTj26ZApPd6RbRTSA8nOwkjaoTFSZsMrCmaOuTbyWWtW9hHp072sbDYBTBBsjKsBmNVukVr5ORLEIfZMCByt7mlF4/BgtmPca3Xjbvcp8BDarzlBxdJSC/J3C1nkVDRw6yrmBoUa526y2a0f0zTeuxx1xgy1bLMmqW5tVvT1rxONy2UFMySoTwkl/nh6kWpbq5vIEgTGzIqtst6EPZ8X/75HRPpDYoDKQVRm66kPhvTslM0uL03rjqmyq16Ez3du6AyUIT+mvPltCXYRXL9/4T4lsWR8vfpe6dOtBTZulaSLJHuBnxN8ZOg9wozMKt5v98jT69YRJQTEs33h1Bg0ePppqp5wLvL4pN4eKS4qpY5dulJBQ5pHM7TeuW03VqlenTsIxTF+snICcPM1fn4VoAFWrVrM9VmLtYPX1/o00c8Nzmg0q26TqCao+i5Rq6CqQ1eDlLdidJ8KygawyKhw2jEPMcepqDgOoUkBW7VHasG6VOKtPKUcPkb3FPVm99loV8fG+zpMiHGcYmlXjQCR/Ky/lYkzJKhO9+28bERK6SlWr6f0qEplpeh+4a2TAqNjoMXfD0CuDMnBVJrK6ecMa6jXoOppy5CAVfryYVl74CzrQpAlNSKhBLXNWgqwaBBRxVs13bDihq5YuXUD76h+gl3+cHkRQObXpHZ3uE85SQ8iY5hRk9Rkac8v4kPBSZg+T+pUCWT2HBshq6B6WSoGq1aoJwuk+DGWlJavRIDAR9OlkBmDWtRWHi2AYyk1jSlatMliZ2YEqz8AHFSuqzaodtF+XFNFjB/cHRQ2YWKce9UxKjmhFYA8YEXymjePVZlXaoRo9+ZmU8mv+cZ3vI84qFesCGfUWcdiseosn9wabVe8x5R4jslmNzpDC7tWOrDInm/HawiB7ValZLa+oTTElq37UrIa90rqGlZGsyukvKTxGf/x5P+WJV/BcRtWqQ4+L1K0phoxNqjiDCKgipV4v3sgqv95ngmq0Q2UHKfmaX3323teEjHqLKciqt3iCrHqPp+yxopFVO5tVszis5UVUGf+YklU/26xGIt6VmawybmzDOvPoz/TS0UPav5mo3lm7Ho0T6VvdklYQgUgk0bxtPJBVGbD/5Y3PmdqhckxUjo3qhwIZ9XYVQFa9xRNk1Xs8KyJZjR5K0ek5pmSVp+DXaADhwlvZbFb7DxmpQVWWhzsjKBpAU+Hs9Hi1qrSm8Cj9StiwftOmPf2udXvNNAAOVucFiVhp6SnNceO7rZupX/+hpuLHDgW5OSuoSpUqZBVxgBsaPdmNnUmyyvVy16ygfgOGUTWRWteufPrRKUrHwgAAIABJREFUQmrVuh01b3EBRdPBat43szUtqj5gP7/mZxtUtkXlfzs5wVnNAzarsFk1k43ioiL6bOkiSu/Wkxo3TbXdB7BZDYUHNqvhsgW0iwSBmJPVSAbrx7Ygq6Ghq5YfO0Iff/gufdTqYtrZoKEW6uq+H3/QtKyIBlAmxZWZrP7fV4s1crqw+L0gLarVa36Q1dP07+mTadx9k0KOwKUfzKe2HbpQavOWIeG5XnkRZBVk9ZTlbfPDhfO0qCkc7YUfiFULyKoqUqjnJQIgqxGiCbJqHWc1r217mlojUTMNuPzbrZSRmER39rkqYBqA0FWVS7PKWtS3ts6lhPwqIozZGfpCfNhBih2l2GHK6M0vtybIKsjqyDHjKKlGDdvTuuxtTzdBvlqI+LDBbzL0DaFZLUMDZNXdzf+laU/RY4895q4RanuGQEzIKkcB4DiqHGPVrpSn8W4kiFZ2m1U77IxZsFi7+mBKfbozpZ5pM9gDRiKJ5m3L02aVbVGn5DwRFBOVbU/ZBrW8vPkjRRgyGimCwe1hs+otntwbogF4jyn3WJEcrKKDUPR6jQlZjd7w/dEzyKrzOhhDXbWvnkiP1xMmAoZQVyACzli6rVEeZNXMFpW1p+zN71XaU7c4eFUfMuoVkmX9gKx6iyfIqvd4yh5BVqOHrVPPMSWrVnFWyzMpgBNAKr+DrKqgVFYn+2QhPXBwXyDUFduzTm3QiNLOOvyACKhjqVozVmTVTIsqY6I+mPmw5Wt+1Xn4pR5k1NuVAFn1Fk+QVe/xBFmNHqaqPfuCrMZzUgDYrFrbrFqlW5Whrs6bN5uev/xKOp6URBPrNKDbatSkd0V6U6RbLdu+8RINYPaS6bR570aad/QNKhYfLnZa1HAyWOnT+aoebogGAAcrM1mBzWoZKrBZVT1JyurBZtUdXl7X9gVZnTn3A5q/+EtaPEfksI2zArLqnqzKJX7t5Wm0feBQeqHkpPZVfRGq6dcfvk8PPvAQHT1xzov1jVdn0ODho6l2yrk4m5tyc6i4pJg6inBZCQmJWnvppVqtenXNy1VfrPLXOznvvC7I8/BRN1NyzVpB/akQyYqcbpW1qG9tnSPCTs2htCOplCA+mxI301UXDXC0RQVZLaZN63OoupBbll99mfnc03T7+IlBDkIcPgnRAOBgZbw1ni4tpV152+nbLRvp6oHDg35WsVkFWXVHNkBW3eHlde2ok1WzuKpmk5gz7RFK73Cx1/OLen8gq+GTVRkN4Mfq1bTUrRyf9aElH9DsYdfRlHqNAvasIKv+ibMqs0uxTaosAxMH0aXNrqDLevanC+pf5LjnQFZBVplorV+7Ugu3lZ7Rg5o0qEEFB06Yys7sl58lRAMIhQZk1fGoCaqwb89uEWc6my7vN5CSkuwjS5j1DLLqDm+va0edrOoHbGWz6vWkYt0fbFa9QZztWR88tI92lpSlbmV71ol16oU4YXlztcrTixc2q0xO2aufNaqy+CX9aaxXEjar3iIOm1Vv8eTeVDSr3l+14vdYkRyszNKp8gpy5KaBV3X33WLGlKz6bvYeDQhk1SMgRTdMBJ4/sJ+eEH/YtpXLqFp16PG6DV2nbvVuVPHdU7hk1cphSp9dKr6RCW/0IKvh4WbVCmTVWzxBVr3HU/ZY0chqZpc2NG7MoOgB5mHPIKsegAmy6gGIZ7uQRCD/eDHNPPozTT58QPuF47PeWbsejatdF6TVJdxuyarZq/6KEnbKJXSm1UFWvUDxXB8gq97iCbLqPZ4gq9HDVLXnmJLVgn0Hqd+oBy3HFo9JAWCzGrnNanJyTU0m2EFqtnC60kcDyBPfLXjtRZrRqw8dTk7WiConFeix7b9wsDq7k/YW5Gv2f337DaJEEVnBWCRZ5Xq5a1ZQvwHDqNrZUGH6uvpX/dfT9bRZfDq3yaI7utyrZZqyKlbOa1b1YbMKm1XYrAbvjqNHDtP7C96g0bfco3rvJtisKkOlVSxvm9WS78rM22Jdzqt/HlVtWDXksmwGAM2qxWoMvOm3NGLgZZTRqTU98veZAe9/Bm3oNX18aSfhJFggq9Elq4w/O1g1GziMnj1dStlFhdqSDN/+I11dLYEGdOuJaAARkFV+1b/kh0X08sbnAvaoHBt19HljqE/6VdRFkNWqVavZbgOQ1cwAPsYUwvyD0UGopBhkFWQVZLVz1yzTh2arw4YjsBTk7xQP5qto4NBRTrfmkN/Lm6wemX6ESveXuh53pA1SxqdYktVlqzeFdA+bVQGJdLBq0qgB3fHgkwGyyhED9OQ10sWJZXuQ1diQVRm6aknhMfrjz/up+bffUKLQup5q24kmNCyLHIDQVeqa1YLC3ZrDlN6rn0kqB+9nx6lPP1pIrVq3o+YtLgBZFR7rxcVFNHfWdLr17gmaXXVx0UnKzl5J1asnUMd0kFX9mWtHxmU9kFWQ1cpGVo+9eSyW1CRwrRpX1YBm1S3y+mgA/G/52j+ekwIwBrBZdSsJ1vVV7AFlUoGXjh4KcsJ6MKVeIBOWdyOK/570Nqtsjzp59RPEf8tSWb36w11ZFRkNt+/K2A42q96vOqIBeI8p9wgHq+jgqtJrTG1W9TYS+n/Hc1IAkFUVMVOv44YIGEkrnLDMceYD9pllL5qGnqpIaVDVpSyymm5kNLIrVY7WIKverzPIqveYgqxGB1PVXmNKVo2DYu2qLJ/Mm0JNG9VXHbev6kGz6t1yhEME2AlrypFDNO/YYW0gIK1l68H2qKxB/efav9H2n7dr38lX/ezdz/9GcY9AODLq/iqVpwXIqvdrDbLqPaYVkazCZjU6cuLLXmGzGlubVSkEZulWVxw7QgtzVtC2M6dpRauLNZMANg3gOK2VKd2qVXzU/209ier9VNsyGoB+g8FmdRetXbWcBgy5XsuyBJvVc9IhHVWuuHowJSSWpTrWF9isHqMF816jG2+7V/mehWgAzlDFu4OV8wxRww6BmGpWK2IGK5BV/5BV6WCVLyT+1ZYXBCIHtK+eSP+Tl0fNxPdGo/4TJwrpq8+WUBeR8rFRE64RXF6f9TwNH3UzJdesFfQDH5y5ghhXqWKdCvWj99+hdh27Umpay6Bc79xRaekpys/bQd9t3Uz9+g813aMq1+CGMnTVxd070bMb/xHkNMUa1If6PEBZ51+j1bMLXQWyei78154CkNX+Q64Tchsa8gZk1Z5UFB4HWbVDaMO6VcIZ9lTIWexE1UBWnRCq2L+DrEa4viCr/iOr1apXp07pWZpZAJsHsJlAr/9+TxdRFRqa1Zt61UoJrHpFIKufbvyANq7LoeePTaNC8eHCTlPSHlU1zirIKsgqy0DB7jzxIJZNIKtEp0UWPX6o/GZzLv1y0AiluwXIqj1MIKtKYoRKBgRiSlbjOZ6qneTAZtW7feW1PaBZ5ICeicn0eP2GxBrXeC4cH3XmhudCPPuNTlNuM1jFMyaxGLvXMhqLMfv5GrBZ9X51YLPqPabcY0WKBhAdhKLXa0zJKmew0sdXjd60YtszyKp3eEeLCFSkcFf6TFOMPDtKjWpzE40Uf8ycpkBWvZNP7ilaMurtKOOnN5BV79cKZNV7TEFWo4Opaq8xJat673+zAcZjulWeB8iqqrg514s2EYjncFdmJJW1qE6e/SCrznLnpka0ZdTNWCpCXZBV71cRZNV7TEFWo4Opaq8xJauqg4qnerBZ9a/Nql6OjNEAZLir9w/so6Ebcin3kjY0qMUvaFztulroK1n84GD19f6N9Nz+fwWlQ5WZpnic0sGqbz/1DFbVRKQEu4JoAHCwgs0qbFbNzgjpyFq1WjXhJNXd9e0aNquuIUMDgUBMyapVNIDFn66iabPmB9KvxtPKgKzGJ1mVMrZeOGB98MmHtOgXv6C8evVDYrSWF1nl8FNsk8oRB34uOkRfiI8+Hap+j4Csmp8YuWuyNQeZdBHpgcNP6YvRsc6IIaIBwMGK5QUOVqF7C2Q1nhhKxRmrL8hqPKdbBVmNb7IqSUu1jl3oeREzMruozJteJhZoNP8/NCKGoauYpL61dQ7NE392HdlJl4tPc2GTmpHZS/PwNysgqyCrqc1FeDQDIX/lxWdozC3jQ2KhMtn4ePG71KVbD2raLC0EPEQDOAcJyCrIqkTgpWlP0WOPPVZx2F+czcQXZBXpVuNMaqI43PK2B8w+WUiTDx8KIq2P122oJRaIZjEL5M+2qBOzymxSIymwWY0EvdC25S2j3s6m/HuDzar3awCbVe8x5R4RDSA6uKr0GnWyKrWmToOZM+0RSu9wsVO1qP1uZ4rAIbdkWrI+WR3phacmBo0DDlbeLYtfiICRtOqzYXk327KUqFNynggK5N//oiE0rvN9EZNUOU6QVS9XDNEAvEVT2KKJDps0qEEFB0543XWl7Q9kNTpLX9HIqtHp3YzfRAdJ971Gnazqh+THDFZ6Mt2yeeMQu9k/TX2N8gt+ChBUJq6pTc+nRx+4OTA1kFX3gmfVwi9kVY6PSesDB/dpiQW4eEVazUiqPpC/d4iWaQN2gwh4BqnfZNSziZVTRyCr3gMPsuo9ptxjRSKrA2/6LY0YeBmNGzMoABbzG6MyLjpIuu81pmTV/fBi18JKs8oL+tffjQtofZncPvL3mQFSC5vVimGz6pRu9f0zpYFsWCyVvRJq0E0//JdaVE+gdGFPalbM0q1KkvrOlrnUqkor6iw+1DYxkG1K34/bdKuIBhC8CnCwgs2q2b4sLiqiz5YuovRuPalx01TbmwxsVkPhgYNV7HhJtK7EMe/7jXqQPpk3hZo2qh+ty3jaL8jqWTjNyKrZghq/A1mtHGQ1uWYtTVJkCtddJcV0+XffUnNBVof1uJR6JiWHbEw9Wc0/lhf0ur/qmap0a4s7KfO8TBoyZLTppgZZLYPFKSWu1YkIsgqyCrJ6ypIwfLhwnpaWuplwzqtShfXbagVkVQ0nY61Fh4+E1zDCVq0SE6htUlJIL6yIS2vWyLeaVOOAY05WGaAdu/aawl+eSQGiSVb5IEhKqkGFJwqpZnJNzUjr+LFjxDns69VrQGdOl1JCQgL9tP8n8VMVatSoMdWpW5eSRd1VK5dT95696TwR+3P1qmwaPHgY5eaupWapqdoBs2/vHurYqQutz11HnTp3pr1791JV4RXcuHET2rB+HQ0dPpL+9czTdO99E2idyB9feqqUMrv3pAVvv0k9e19KzdNa0PRpz9Ctd9xFNWok04vT/0Vjxt5OtWrVogXvzKOuGd0orcUFlLdzO61dk0Mjrr9BWzv5W4uWF2pk4uOPFlNW917CuziVTpWU0HvvvkPde/TS+ueSveIrojOkXVOWGc/9k8beegfVPEsEud30556hiZN+S8UlpwP1XnphGt3wq7GUUueck9PanFVUXFwsvOSzBHZlaVO5fU7OSqoucO2W2SNIxtaI70uKSygzq4eGuyyFhceDxm4UTD0e+t+eP7CfPl+xjNjK7ovWl9ClNWrS7xo2oEt5fc+Wd+fPo2at0+iVnf+mOV+/Gvj+xg4300PdH6Yzh07Tlq830uBrzXOOM1ldmb1MW+cePftYHlm783dpstF/4GBNzoyFX1uzqQrXW5m9nK4dOiIIA7OOP1i0gNq07UAtL7iQqol4inbFClurNposiNKz1zlZsOvfaY2s2vLeOV16mrKEHPKe0Bdjn0YM83flUfbyr2i4kHduW1xcRC88/yz9z4TfUEL1qlRUdJJWrlwp/p0gZPBcrEmjTPM19fuL/899rV2zmhKF3HbtlhU0rqn/+Bv974O/1fa7LKzd++eUJ+mB3/w+ZKrvLXhL7Pt04n1onOO0f06mO++5jxITg29UZvtT3/GuvJ20SsjJsOtGhfTJ9Qp254tzaQUNGDQkpG+n+cnrlJaWCpldofXP50YtIaPHhIyaFSN+VuutP6/0+Bnr89otfn+hdj41S21uK9uM/c4dPwbOUtvKZ388Js72ubP/TXeN/7VKda3OkcOH6c3/zKY7775fuQ1juGP7D7R50wa6dtj1Qe0ShYyeER/9OWrs+J23/iPOw+7a+e6GrJaIc5b3PJ8LmVk9lccrK+aszhZn9SnqJs5iPqtVC5+HeXk7aPXKbLp+lPkDvl1fZXK7nK4ZMFi717ktU55+IqJoAO2++Za+OVnk9rIR19/StrUpWeWOjTarT/9hPA28yn3s3IgHqdBBTMmqmb2nwhhjUiVcssqDKyoptT0UYjKBCnIRJgLMau0OWb9M9bB4yHj+0CF6/uBB4n9zkaS1Zcl++tuKP9Prm18LDJdJ6u97/YFa1GkZ0ylIshrTi1bgi8WTjMbLMtiR1XiZg5/GqUJW/TTeeBmLZq8eZrn2h+1htoys2ZPNmliSVX3PzIEm/Xk6lbezu9VsY0pW/ehgJYEJ12aV28PBKrLNpG8dj84rxhSu2nz2ryH6djrRgTVafFTOOMVB/cujwMHKW9TjUUa9RcDb3uBg5S2e3BscrLzHlHusSA5WZgjxm+/7bxvhS+0qyOrZFbMiq4gGEJ1Nb9VrvBIBdpx6+ZvX6CWREYsuuomoem1tiu2pmB5vdKGpTWuskAVZ9RbpeJVRb1HwrjeQVe+wlD2BrHqPaUUiq+woPuO1hUH2qlKzWp7mmHarFlOyymYAQ6/p4yvWbhYH9oG7RoaEc7CKswoHq8rlYCU3k3R+OlJ8hNYlrNMyTjFh5TKq072U1vlh2vfxB7RS2HxuO78RdU+qSeNS6lJ/YdvKpbT0FOUL+6vvtm6mfv2Hmu5ROFiVwQIHq9P07+mTadx9k0LkZOkH86lthy6EDFZESxa9TR06dxMOQy2CbH6NoCEaQBkicLByR2grWgYrffx4iYRfiSqPL6Zk1Rj2yZ2o+LM2yGrlJatzPpxBK/K/pIVF72nCyZmmpl71QuB1/wfvv0PbfnExvVArmX4WzgFcZJzW6wRpBVntrbSpQVZBVkeOGUdJNUKdB/UCBLJ6Dg0VzSrIqtLxE6hU0ciqu9mXf+2YklWj55lx+n5m9VZLBbJa+cjqvG9m09Scv9FFRy4o87hNPWOaFlUfuurtwqNBcVpbVjmP7j92nOoLb97+A4ZBs2pzFoKsgqyCrIZukNMiGsCuvO307ZaNdPXA4UEVQFZD8dq3ZzdxOLvL+w00jZriRMdAVp0Qiu7vMSWr0Z1K+fUOByvvsPezPSCTVE6NKl/3s8MUO06xA5VqkXFaZUasFBGi6M7a9Whc7brE/45Ggc2qt6j6WUa9nWlseoPNqvc4q5BV769a8Xus6A5Wfl5BkFUPVgdk1QMQz3bhRyLgBUk1IsRpXCcfPkTZRYXaT9EkrSCr3skn9+RHGfV2hrHtDWTVe7xBVr3HlHsEWY0Oriq9xpys6o16ZTwvNg+4YeiV9OgDN6uM2Xd1QFa9WxI/EYFsYY/6wKd3R6RJdUImFqQVZNVpFdz97icZdTdyf9YGWfV+XUBWvccUZDU6mKr2GlOyqk8KwPG8/vq7cZTe4WKyChulOonyrAeb1Ypns8qv+ZmkMlmdKD7v115M92RNCHrdr+Kpr7dZNWbUMUYDMCWttepS+tYtVFdk+UnP7GUp5nsL8mn92pXUt98gSjRJqyfJKtfLXbOC+gkb2WrV7INbf/rRQmrVuh01F9ltqla1z2C1MXc1cVabzl2zHPvlSaxbvVybS9csOFh17NItaF1nPvc03T5+YkgGK0QDgIOV8QCAzaq7Oz9sVt3h5bfaMSWrrEH9ZN4UatqoPunJqgwfBQer/SLtHVGDho1FatG6wvs1mdYLg/D0bj21m9f6tavoymuG0Deb11GjxmXpVvf/tJfatO9MWzauo0vE3wfE/88T5Kbh+U1EvVz65aARNGvGVBo77n7avGGtCJlUSl0yuouwJW9TRvfeIj1qGs1++VmSDgyvz3qeho+6mZJFCtQy79oMLXf07l07RPs11H/ISE2G5W+paRWHrBYll2g2qfzanwvbpN5+8ja66cZ7NTz0xWuyKvvWk1axOeny776l9iJd5hWC2PVMMk8RCLJqfqyyMwWny0zP6KHtCX0xOm0ZMdxTsIvWrlpOA4Zcr7XlFKlzZ02nW++eoJkBFIuUndnZnNo3gTqmZwa6nvPyNBox+jYtVbIs+v3F35WINMGb1udQdZFuFWRVPIiJ9WnSoAYVHODkxaHFiJ/VTRTRAM4ho6JZRTQAd3QMDlbu8PK6dkzJKhPUl6f8NoSsQrN6RsuRfFDkmwdZnUa/njCJjp44FZD1N16dQYOHj6baKXUC323KzREpWYu1m32CuOlzOXWqhDauW63lve+UHpxz3Ur7x6Rl6dIFtLrqanpl+0uB/idmPUIj29xEX77zQYC8x4Ks6knrvONHaZ+YzxkhFF+0voR6JibTxDr1QkgryCrIKuKsIs6qfheArIaeCdCsek0fY9tfTMnqzLkf0PzFX9LiOU8GNKtNGjWgfqMeJGMg/tjCENnVYLMaGX761rG0B+TX/W+JYP6TV/81MITyTo1qRNIslasVabVaBdiseief3FMsZdTbkfuzN9iser8uKmTV+6tW/B7hYFV+axxTssrTNMsY9fQfxvsqq5Xb5QBZdYuYdf1YEQGjh7/fSKoKaeUEA3cIu9YbaqXYhr0CWfVOPkFWvcWSewNZ9R5TkFXvMeUeQVajg6tKrzEnqyqDirc6IKverVi0yaqRpBqzTnk3k+j0xJrWN48doZeP/UyqsVpBVr1di2jLqLej9X9vIKverxHIqveYgqxGB1PVXmNKVv809TV6873PyOhIFc+hqxANID4crBZ9/h9a/P17tKToQyoWHxnQf8gF19FXny0RTmc9qFGTZiH7Ru9wpv8xWg5Wbq4hnbHyCvLosu+/o0+7ZdK19RrSyJop1L56mR2vPGB3C+cVRAM4hy4crN6lLt16aA6WxlKwO49yc7KFM+V1wrEz2DGN60rbvyuuHkwJiefkTPZj50Am67AnO0ewYOc1OFgRHT1ymN5f8AaNvuUe1Xs3IRqAMlRaRdisusPLb7VjSlbZwer+20aEvPKHgxUcrHhjsIPUbOFN7aWDFdulsof/rm+2UYL47EzZRf+TOSkQhsoplaefyao8TD7dsY1WrVlJs7p0oULhnc5Fb9eK0FWIBqC/8fA++3gxyCpHWWncNNX2nszRJPLzdgQiq6jcwAuPH6MF816jG2+7V6W6Vgdk1RkqVhAU5O/UouIMHDrKuYGhBsiqa8h81SCmZJU1qDIRgB4FhK4CWfWarNb7ReOgMFQDEwdR54Zd6Z4hvwmKBVoRyKqMBnDxFb+k10pOamYCbC4gSetdjetTj9OJdGJvAeKsnj14oFkFWQVZnadFTeHQhBwGUbXIqCtVq1UTsZW7qzYL1NuwbpVQTJxSjsssG4Ksuoa6QjWIKVmtiJpV7am4sCQo1FKFkpAYTyZSe8AjRYdp5oZpvvbwjzakZhEEopnONdrz8Vv/kcqo3+ZT3uOBzar3KwCbVe8x5R7hYBUdXFV6jSlZ5df9k/48PZAYgAdYsO+gFroqniMCgKyqiJpanUiIQLx5+KshEn4tJq1LCo/Se8WF9PmxY1pHTFo5esA1STUtkwyEf8XK0TISGa0cCLmbJciqO7xUaoOsqqDkvg7IqnvMvGoRU7LKgzYLXWVmGuDVBGPRD8iqdyiHQwSMJJWdp14e+Ca1b9jJu4HFcU98wL6Tf4AmHz5E2UWFgZm4jdcaxxB4OvRwZNTTAVSwzkBWvV9QkFXvMeUeQVajg6tKrzEnqyqDiqc6iAZQftEA9h/bR3MPz6HF29/TROailFZ0V8Px1LlphqsMVvEaDUDuEzcZrLJzltOPvfvSiyeOBuxazUwEPv1oIbVq3Y6at7iAqlatZrslrbKDWTVat3q59lNXkUJWpTjZFVv1gXSrz9CYW8aHeOzDwaqIPlu6SEtjDQcr2KyqnEFcB+lWVZGKTj2Q1QhxBVmNPVllD/9XlzxH3+zbTCvOrKDGdZrSHZ3uo9s63B1WutXKRFZz16ygfgOGUaEIScSOWG8VHqGvRd57LnoTgcIvPgFZXbWcBgy5XguvVCwwmjtrOt169wQtg1Vx0UnKzl4p0iQnUMf0zMApMkdEsxgx+jZKTq4Z+M6Y294utNPM556m28dPFCGjzgu0Z4/0f0+fTOPumxRyWi39YD617dCFkG4V6Vb1wqGiWf1wIRys3Nz+QVbdoOV93ZiTVXay2rFrr+lMjPFXvZ+u9z2CrMaWrE4RqVHniRSpzY80o0TxadK6BU3o8Xstbqr0Uq1WvTo0qzpRdwpdJeO16k0E7s5dRx3btKe+F7WmemfDYVntHmhWQVb1soE4qwhdZXenRTQA73lIZegxpmT17ocmU2rT8+nRB26uUNjCZtW75bSyB4TzVPgYq2aw4oxYbx0/Si8dPWRrIhD+SCpGS9iseruOsFn1Fk/tLYnQ/p8WcUmPnTjlfeeVuEfYrJbf4seUrFrFWS2/6XtzZZBVb3DkXoxEgF/537H4Bvp6/0btIqxBnXrVC8RpUlHUEFAlq7I3mdL1oxPH4ZBlAjHIqprcqdYCWVVFSr0eyKo6Vm5qgqy6QcvbuiCrHuAJsuoBiGe7kERgy95tQUH9ZXrUUW3HenexStKTW7Kqh4VNBOYVHtNCYMlEA5U9ZivIqrcbB2TVWzy5N5BV7zHlHkFWo4OrSq8xJatsBjD0mj4h6VZVBurXOrBZ9d5m9XjWSfrb8j8HlvzRhMfoisFDqHWzdoHvNuXmUHFJMXXs0o0SEsryk8NmdRAlJiWFbBUnm1WzvWWMBiATDcw7foTYXEAWDn91y47t1Ex80blrVlB2MKs9i2gAxbRpfQ5VF3LL8qsvcLAKlRqjg5qVXC1Z9DZ16NxNZGRqEeSgZqxfXIRoAIwJHKzcsQo4WLnDy+vaMSWrHGP1kb/PpMVznvR6HuXWH8iqd2T1zc2v0cEvdtFfzvxFW0/Woj6Y+TAtW/AhDR4+mmqn1AG/+SWtAAAgAElEQVRZNZF0N6GrZDSAatWq2+4Zu9BVRoesXv/9nmqfLhVe8d3pjnoNtagCdgVkFWT1dGmpyPG+Uou0kJ7Rg5qIWMAFB06Yig3IqvluYgx35W2nb7dspKsHDg+qpKJZBVl1RxtAVt3h5XXtmJJVtlm1K4gGsF/kaCZq0LAxpdSpS0k1kmn9mmwtHiCHslm/dhVdec0Q+mbzOmrUOFXL57z/p73Upn1n2rJxHV0i/j4g/s83gIbnNxH1cumXg0bQrBlTaey4+2nzhrVUKg64LhndxVP125TRvTc1bZZG+pvB67Oep+GjbqbkmrWoTFORoeWO3r1rh2i/hvoPGaktofwtNS1ysnrg1H7NLvW7/d/QQ+Izu84cmjngXFD/N16dAbKa2cty68SarMqBSG1rrsj1fVpoW1e0ak3FQvackg2ArIKsgqwGb+ejRw7T+wveoNG33KN8jwdZVYZKq7hvz27i2MuX9xtISUk13DUWtUFWXUPmaYOYklVPR+6jzmCzGt5isPPUlJwniD39ubBd6sO9H6UbO4ylo/BiDQ9Uk1aR2KyqDsIs/FVFtW2FzaqqVKjVg82qGk5uaqloVt30h7plCMBmtfwkAWTVA+xBVt2D+NL6afTyxueICSuXiVmP0Mg2N1G7Jq2IRMgVkFX3mFq1iAVZldeW2tYlJ44Fkg3wb6xtvaZGTbqhVoqjmYB3M49OTyCr3uIKsuotntwbyKr3mIKsRgdT1V5jTlbZbvWm+/8aNL450x6h9A4Xq47Zd/VAVtWXxCleKoiAOpaqNWNJVvVjYm3rRyePa5my9JEEmLBek1STeiYlq07BV/Ugo94uB8iqt3iCrHqPp+wRmtXoYevUc0zJ6uJPV9GkP0+nT+ZNoaaN6mtjK9h3kPqNepCe/sP4uIwSAAcrNZvV//tqMWXnf0nP73+WzogPv/Ifd/IOGnPT+EBqSvbmny3SVf56wqQgzSpsVqtQug9tVuXh4pTBSh+3dWVRIV3+7VYhAUQ/tO9Io2qm0LjadW21rSdOFJJdSlyrQ47t0zhVKTvwsB23vhj7NNr97inYRWuRblXYygfjxhhK278rrh5MCYllkTj0BRmskMHKjnggg5UTLcPvZgjElKxyqtX7bxsRQkqZxE6bNT8uowSArNqT1ZoNUmjmhmm0ZvUyqiI+P6Rsp9s73Ut3drmfjHnUQVaDt+gZYQ6Rm7NCc6SLZ7Kqn9XXJUX0+cqvaE3RSVra+pLAT3ZmAiCrp+nf0yfTuPsmhZzhSz+YT207dKFU4QRpJOSvvPgMjbllfAih5H328eJ3qUu3HpqDpbEU7M4TcpctnCmvA1kVDzv5eTsCzqoqNKLwOMgqyKqKpKCOGwRiSlatMlhJ0wBEA6hY0QAONTxM//rvZM0u9XLx6dCwM40dOF7TqnIBWd1B323dTP36DzXdsxWRrPJEZTSAok7pNPPYYVohzAX0ZgL9a9QSGtfaATMBkFWQ1ZFjxonoKPYe3Iizeu4YUbFZRegqN1QJ0QDcoeV97ZiS1XjUrM6c+wFNffGtEOT1xBo2q8HwmKVIfWvYkgBJtRNj2AN6v8nLy2ZVdSZW6V05moAf7Vsho6orq1YPNqtqOLmppUJW3fSHumUIwGa1/CQhpmQ1Hm1WmazmrN9KLzw10XKVQFbLoDELRcVB/d2kSAUR8P4w8DtZ1c/YKlNWmkhiwPatI5NrU1p1+4QG3iMY3CNk1FuEQVa9xZN7A1n1HlOQ1ehgqtprTMkqDyreogGArKqJktHLn21S7+h0n5I2VX8FEAE1vN3Uiieyqp+XWTQB/r28w2BBRt1In3NdkFVnjNzWAFl1i5hafWhW1XCKRq2Yk9VoTCKafRrNAFo2bxzkCFbZHazO1KlCN787groe7ULLxKfDRen0hx5/o2+WrQ1y4GA7RfYAz8jqHVgu2KxWbpvVrjpZsNvDbLP63icf0A9t29PspMSAfasTcUU0ADhYmclVcVERfbZ0kZYZsHHTVNvbB0eTgINVMETsoLdx3WqqWq0ade7a3fXtF9EAXEOGBgIBkFWXYnD3Q5O1FtIsQIWssjd3DeEcUFhYSDVr1tS8u48ePUrVxevMBg0aaOF1EkUImL1792q/NWnShOrVq6fV/eqrr+iyyy7T0q0uW7aMrrvuOsrJyaG0tDStbkFBAXXt2lX7jv/es2cPVRVhepo2bUpr1qyhX/3qV/TEE0/QpEmTaNWqVXTq1Cnq06cPvf7669S3b19q2bIlPf3003TfffeJEFLJNGXKFLrzzjupdu3aNHfuXOrevTtdeOGF9OOPP9LKlSvpxhtv1Ob/8qsv09qqa+mFbS9QsviMqj6Ksnpm0d1X3E0lJSX05ptv0qWXXqr1z+WLL74Qsf7PaNeU5R//+Afdc889VKtWLe0rbsdjefjhh4NW5ZlnnqFbb72V6tatG/g+OzubisRNp2fPnhp2sv2KFSs0XHv1Ck5Pyt8XFxdT7969td9lOX78OC1atEjDpHnz5iHSoMdD/yPP5csvv9TWgNfHrLzxxhuUmZlJF110kbZ++sLr8MMPP9CGDRto5MiyFLbGonINbpOXl6fJxrBhwzQ5sypcj8c8atSoIAzM6r/99tvUsWNH+sUvfkHVxE3Jrlhha9WGZYHL5Zdfbtuv2RrVEnK9vvAEPb5nH60/cYJ+FumDZekr5GhonRS6tUE9qiv2AO8dTi/Mcsh7Ql+M627EcOfOnfT5559r8s5tWdZYFn7/+99r3fD/eT8kJCRoMiiLUab5e/3+0rdlue3Ro0fQuP70pz/R//t//y9IXvh8+Mtf/kKPPvpoCF7/+c9/KCMjQ5Mx4xz//ve/04QJE0RqyaSgdmb7U19hx44dmpyMGTMmpE+ut2vXLg3b4cOHh/TtND95HV4XllkeM+89u2LEz6qu/rwy7jd9m5MnT9L8+fM1ueBz1K4w9rxP5VmqIrB8tr/00kv04IMPqlTX6vz888/0yiuvaOulWhjDbdu2UW5uLt1www2qzQL15syZo52TfL7zOaZaWH54z/O5wOep27J8+XLtrDeexU798Hm4fft2TW7Gjh3rVD3kdym3Q4cO1e51bgvf6x977DG3zVDfIwRiQlalrapZLFW73zyao6fdGCMXqJBV8UygHeonxM21htgkfDAcF+FNqgk7vLqClJ4+fUYjDwcPxEc0AH7lv/mLHPr81P/Rj+IzsevD1PpAK+qW2YcaNWkmCHFoaBxoVoPJamnpKU1jU5mjAbjRrJrFWWX71iWFx2je8aP0dcnJEI3rL//7HXUQe6yH0KAhzuq5YxChq6BZZWlANAB31OClaU+BrLqDzNPaMSGrrI1MbXo+PfrAzaaD/9PU1yi/4CdbJyZPZx1BZ2ZhtiqLgxU7UI18t38gRWr/i4bQH/s85dou1Q5+2ANGIJwWTePVZtUNEnrimi0SD+gL27hyKKz+ybU8SfUKGXWzMs51YbPqjJHbGrBZdYuYWn3YrKrhFI1aMSGrVvFV5YT8HGeVw20tnvNkAHv+f4+M9kHEu6KTVS+8/FWFF0RAFSn1epWBrOrRsNO4yqgCTlmz8EClLl+R1gRZjRTB0PYgq95jyj2CrEYHV5VeQVYdUGKt8LLVmwK1bhh6ZYiGuCKTVaOX/8SsR2hc5/spJbGOiny5rgOy6hoyxwaVjawaieubx47QRyeOm5oK9EqqIaILJAUSEDiCKSpARlVQUq8DsqqOlWpNkFVVpNzVA1l1h5eXtWNCVlkb+dffjaP0Dhebjp01q4/8fSbSrfrIZvVA6QF6ae5kzS51h/hc1/QGuvS8y4RTRZlhe1m2mAxKTbNPtyrTOcJmFTarcvPLDFaR2qw6HYRm0QA4HNbkw4foB5E568rctbTs4taUV68+XfLzIRr+wzZKv+Ia6lS7LhXu3U1rVy2nAUOu1+xdi4uLaO6s6XTr3RM0slos0sVmZ68UtuYJ1DE9MzAUY4QL/mH2y8+SPgNTiXD027Q+h6onJFLHLt2CpjHzuafp9vETQxyskG4VGayM8n5aOFjtyttO327ZSFcPHB70swpZhc2q0wkS/DtsVt3h5XXtmJBVp1ilTjatXk/ay/4qmoPVa/9+lnZcmE8zvv4X3Sg+25J/oBt63kq9avahzRvWiHzhZZ7rIKtnRP70FZqzXHpmcOQBKV8fvf8OtevYVRB6kbfdEA0ADlZE5UFW5dpwOKyFIhzWtrPhsFL2/0SXff8dvds1g6oJTWv/o8eo05bNNPzaUVRXOD+CrJ47Nfft2U38IHDF1YMp4WwkDv2ZakfGZT0mWuvXrtQeBNIzelCTBjWo4MAJ06PZSPatzm+kWz2HDMhqqJRIub2830Dh8GyfutdMxkBWvWRO7vuKCVnlYbF2lYve/lN+v2PXXtKnL3U/jfJrUZHI6sLtb1PBZ9to+pnpdFR8fpfyMPXJupo6t86k3bt2gKzqxIzDqICslgGyMXe1Foqmc9csLcKFUylPzaqerOojDHy6Yxt9l5tDX2V0py/OnKKWBw/Q5Vu/odd79KKsGrWolyBVdd55g+64+wFoVkFWbUW8UER6WTDvNbrxtnudtkLg96NHDtP7C96g0bfco9wGmlVlqLSKIKvu8PJb7ZiRVZ64McA+f2dmA+o3kJzGE+82q+xA9cdlD9GSHxZpU01LaUlvDVviqZe/E4byd9gDqiKlXq8y26yqo3SuJjtoWdm5pggN+RARg3hQrRRKr5LgSXSBcMZYkdrAZtX71VTRrHp/1YrfI2xWy2+NY0pWy2+a0b1yPJPVKav/SpPFH0lSH8x8mEa1dR9w2SuEQVa9QvL/t3cm4FFUWd8/nbWTQAJiICEJCKIia0ICAVlkBNQBRdEXREBfx1cdfXHex2V0ZnRG53NGP0dH9PsGx30ddx0cRXAZdBSQbJCAAqOiKCQQFlmSkD3pfs+ppDrdle6uqk41qTT/2w8P6ap7b9363VNV/7p97rkd9UCshs5UhOu2pgb6sKFWEbDy3TtJWKxQJmmF3qLIKwmxan2fQqxaz1RqhFgND1cjtUKsGqGkk6cnilXtLH8RqCJUZVS1OxPEqvX0IVatY7qtuZFKW5toFa9StI4jDHgnGXU9n10GJsUnWBbT1bqW27cmiFXr+wZi1XqmEKvhYWq0VohVo6QC5OtpPqtH6g7Re40rKf4rB33Gn9ZkN93QeD1dtuQ6cvJSnS8/91eat+BKSkzq5ZlENTBzMHxWmYd3gs9qB41I8FndX7lHmfAzfeYciufV5vZVVuhGA/h0QwFVRDloG0cU+KCulsp55bZffriaHjv7HKrlOiSm6/mJSTTordfowkVXUyr/LQnRAIgwwcr3gQKfVf0HsdxzK/fs5uu0iGZftEC/gCYHfFZNI7NVAYjVLnZHTxKrz32wnEori+n9xtV0peNKOnn4QPqfGb/xCa0DseprEN48IFb9XywnqljVhq4q50lmH7zwOP1r1k+pLNrhcRm4/YNVtPwcnqjIIbHEZSCfR2CjONJAL446gNBViAYgVxXEqv6DGGJVn1Ek54BY7WLv9gSx+uzjD9GzCc9TRk06xfAnbfggOuvoRDrrrBkkcVC9Q8NArEKsCoGPP3yXhp0+gjIHnULR0TFBrxKIVf9xViWmawHHY41/42/0yE9mUl1cnMLR2dJCZ3NM177sLjCcYxWP4u2TnInKPsRZ7WxqCF3l//JDNABzD2+MrJrjZbfcEKsW9IhdfVarG6toWcm99NTm5cpZij9qd0+g0sMNn1U9Qub3w2fVPLNgJUKxUe+JWhsa6nnSVqPPIcTfdWSsk85LSFLE68g45wkTaQA+q9bap9QGn1XrmUqNmGAVHq5GaoVYNUJJJ48dxerxXibVAoxKFaEIAauOHan1QKxa27NW2KiI1w/qjtH2lkaPv6t3K1XxOio+js5zJkW0eIVYtdY+IVat56nWCLEaPrZ6NUOs6hEysN9OYlVipi4ruY9ErErqzpipBtB1ymKFEAjluJFcBmLV2t4Nh416i1d/I69yBiN5eVbxeR0RE69EHMjilbUiIUGsWt+LGFm1nqnUCLEaHq5GaoVYNUIpSB47+azuSqygoh3rqLb5GLUmuejchPPp2stvpecef5iuuOZGXoFqE7XyMofZvErP++++Rbn5k+Gzystueq9kpO1qTLCCz6osCXq8l1s9xoa4obGeChvraGt9A83i1bPumeu7/rtEG1hQVEC9h4+kiUOG0eh2v1fVhp9/8hFa9J83dFoStYWjFvxz9T8oO2+icv1rU+Xecl6drYCXVr6UlwmO7rQfy60Gf2hgBavgfLaUFlEL+20bXfFOrQ0TrLooVnp4cYjVLnagHcRqvyHp9PZnL9OG5s8p3ZFOZ6aOptljLqaDO/fSuXMugVjlPg40CUjWiIdY7XwRYIKVfugqbTQAofjSM8vpkst/RontYapkm3aCUKihq0b+11La2tREhU31tIEnb8lo7MLiQto0+BT6LrU/9YqJUfxexXVARl9rX3mWFkOsdjLupsZG+uSjlZSTN4kGpGcEfQK4mPGe8l30761lyr3USIJYhVg1YifIY44AxKo5Xp1yd6dYbXQ1UcmO9fR21d8pjz+7E8rpgrSLadSAbDo5Nc1zg8XIKsTq3kP1JLFEyzZuoJk/vZhieFQuWIJYtZ9YvWbpbT5dJqGy1qx+m3YOPZXW9O1Lu12tPvt/vXolPX3ebMrrnUIT49rcBs5i94FEzoeRVYjV9999g8bkTCCJo+1wiDOGsSQj81+UFlM0vxyNHZdvrJBXLoysmkaGAkwAYtUCM+gOn9WeOoFKD3c4/AH1jhnp++Gzam0P29VG1YgD2tFX7dmL+4D4v3oLWJnQ1V0JPqvWk4fPqvVMpUb4rIaHq5FaIVaNUNLJczzFak+fQKWH265CQK/ddt4PsWpt7/QkG5XR1wL2fZWoA1sbm2hbc4NnsQJvKloBOzIm7rhN4IJYtdY+pTaIVeuZQqyGh6nRWiFWjZIKku94iVXv0dTk+BSOmXonXZt9owVnYJ8qepIQsA+14C2BWLW2p3q6jRoVsN7hs8QHdmR8PGVFx1oe/xVi1Vr7hFi1nqdaI0ZWw8dWr2aIVT1COvuPh8/qqaNH0Dvfvkln1J1Ob/LnwqSLKHvYBOrj7EM/HtxPw0eOpe1flNIZ/P8h/i6zl+GzOsGn5zDBCj6r3gahnVgn/rybNxXS9JlzKN7ppH2V9vdZlfP5aNUKOnNUNmWw36Fc997JTDQAbwFbUVFB6du20Iv5k6jFj3tAXnU1Td/xDfWaOoOykjgGrGYUNtgEMrV9svqS8JY25+ROpLR+CVTJftX+Elaw8v8QwgpW5h7eWMHKHC+75YZY7WKPhFuslpZ8Tmv54+LPNMc06j36ZOpXlUL9B2QoTvEQq3kUx/53klTH/xieSCITB7wTxCrEKsRqGwGjoatGnT+XtvNkLBGy25sbFXeCcp5ck3XkME3b8TWtyMmj+vZYrzIKq7gSxMbTCHJQytfbKZ1jwk4NMAEHYtX3wVNTXUXvvf0qXf6f1xt+IkGsGkalZIRYNcfLbrkhVrvYI+ESq1EJ0fTurr/T2MYxtI4/IzgcVdqRVJpx3kU8y78UYrWshJqam2h0NsSqdlRQa9KqGwCiAXSQwchqaHFWZRLXdo7D+hWPiu6eNIV2sUiVpWNFxKrJyTE0J373LTXExtD2Yad7RGwWzx7PZDcCcSfIoCjaWVaMkdV2aBCr+g9ixFnVZxTJOSBWLehdK31WqxureAWqe+mpzcuVlskKVA/PeIImZUyzoKX2r6Kn+wPakTB8Vq3tFdhoZ54iYstbm2kbxzCVyVzlLFi1IlZbSp3UJSL2zN6JlNLEq3Qdx4ld1lqFvWrDBKvw9Ad8VsPD1UitEKtGKOnksUqs+gtHdcuEOy1oYc+pAkLA+r6CWLWWKWzUOM9QRKzykt4eXkuEbEZUrBKZQIRsCvu4dmeYLeNn3r05IVbDwx9iNTxcjdQKsWqEUpjFaqSHozKDGELADC1jeSFWjXEymgs2apRU8HziC7utpYkq+P/vo1poXwN/17gU+KtBhGxbpAKOTtDuWpDFLgeZ7aLWmtb17FogVsPTfxCr4eFqpFaIVSOUguTpqs9qa3wr7a/dRzWt1cpSqc6YBMpIG0zJKX3ImZBImzcWKMsCRvHNefOmIjrnvAvhs8r98SV8Vj1WCZ9V/xdoGV87slymzDbXzpSHz2poPqtCWp2o8pNZF1Ac+59qU1ejAchobBVHCxAhK4LW9fqLVDp7Lm3hGFfevrHa4y4q2kDFQ4dRc9pAGhjLcWKjYzxiNplHZNWRWSfXieVWibCClbmH/1PLH6C7777bXCHktowAxGoXUYYqVo8dq6EWaqZKVyVPNYiilMS+1Kc1haKjoqnfyQMgVutbPD3z6guP0wXzLqfeySmebRCrHYYLsQqx2tXQVd4EK3kCVVlJAZ1/4aX8kuwbDut4iFVtb2pDV6kjstUsaCvYT1bxj+VoBRPXf0afDRlKO09OJVeQ5UP7c7l5mzbS4VFjyJE6wK+gVV0N5GVnT/kuz9LVRh4XdbXH6O03XqTFP/tvI9mVPJhgpY8KE6z0GUVyDojVLvZuKGL1WHMNNdc3sVhtoZqYGkpPzKD+yWl0+NCPHI6KIFZvuo1qIFZJbs5lJRuUEGU5488KaKkQqxCrJ5JYDXQhfLDyLRo1No9cA9I55FYLeYvZ8tYWquCIBVUciquZJ4HNKy2hdaedQeUn9fNbnYjVFBbqMjo7/OAB6v/tN+Q853zexiG62l0OAvnPQqwGf6huKS3i8GktNHbcBIphlw6jCWLVKKnIzAex2sV+PfKHIxR9npOOnapfkfimzv/H+ST/S1pw5hW8CtUdyox/pDYC8Ae03hLgs2otU9iotTyP9wpW6qSvilr2l+WX4qpWjmTA4mkPi9nd7HpQHeumqliX4ZNUfWiV/x0SbzaGejuiPcI2qy6GoqpdlFUfY7hObcaoGnNF42Ojyc2fpmbf83BwxAV3o9tcZQZzR3Hd1Ggws8XZHHJOTeE5L09TYxx00tKOX/csPgVUp0MAYrWLJiJiNeqsOKrNjgpa07Lie+kh/idJxKmIVBGrSL4EIASstwiIVWuZ2tJGWQwFS9HHDDDQqUOEiCJI9FKNvmjwFjYiVuNio6hRI6zUwzhqDApHFiwOi8SSiNWqGBftTmyh3QmtLGDl71avbTxya1LUyvmkNEdRcrODBrFwlb/l36B6FrbKdv7eItt4Pwvctr+DP1f0ugL7rSXQ93d9ra0QtRkmALFqGJX/jCJWY1q3UfQ3TwasqXDPWtrdPpoqmSRmqjqa2po1KOQWuNiH050S2pueiydwhVJWyslxzabWQcZGj20pBMyerM3ynwhiVUSKu9GAYJN88Sxq+OOTROQEKe89shXHo1Zci++oVRCBZmTEKaggs1CE2cw0u7U5bpkbFq+xA50WuXv7ikdV1Mr/qpgtZ4FbxUL2KItd+VvcDyQFmxwW7LCqwFXFqwhZSSJyk9lVQdwVJGXyiK64KSTzqG5qfIwSMUE7suqKk3MOE/Z4ZhOuuvX6hfvRxczDmRx8fukDE8J5CNQdhADEahfNw6/PKjvli/Op+NjEsDO/+Bwm1NdTXUICJdXVkYO31fTqRbH801O/Q4fIxTeVePaj2p+WRtwhlFZZSX2PHKGk2lpaN3UqTVu3jqK4zvX896Vvvkkl48dTFq/f7eBtlenpNK6sjEry8mhcaSnt4+/RXG/6vn20kbctfPVVuu/OO+m2Bx6govx8auEb2pTPP6eXFy2i6Z99RoN/+IEevP12Wrp8OSVy25bdeitd++ST1Lumhl5ZvJjyCwtpyK5d9P3gwVQ4cSItfvllhZi6b+j331NdYiKtvOACmrJ+PWVyu5o5JuLrCxfSVKl/924l/2dnn01u5iDHZDDKtj//8pd0/WOPUS8+T0lSTtpyx733kre4/cuC+XTFqtXUpz2f5C0cNZKaOH/+l1spns+3JWswNfOM36JTBjHXVsrf1XZcNRUNHqTsl+1RGZme7XXRUfRhWn/KP3yUBtY3dLKGx04/lRZxSJ1emvugfC1k0SKPuonNreTvpePd6sM0NiGJfdzieQpdW1LPq1WCqB+roq/YT/n8Iaf5HFfORZLYz6Zvtiv2k3v6CJ88bnlp4BcVEWn7ystp89Zimj75pxQf7+x0Dv2j4ulQdSPtO7SXSr8qoHMnzqUYXknIJ2lG1f755So6LW04ZfUbzJP++OEYZFRtc+VGauaJLjnJeRTjCPxTpyr4iqsLRevRhJSJPk0IJNjq3XX0cc3HNN6dR2mOtE7nF2hDiauEJ9q4KM+RR9H88U51XOcn/JF9afypdFfSRv7McswiJ3/28qfIVURzo+YqZZvcTfSM+xm6IeoGpZom/pS5yyiOPzmOHE/VT7meosWOxZToSPTZtiRqCSXwJ1hZ2fcX119oqWMpRfHPyWpyuV30qPtR+kXULzqd6nuu92iUYxRlJg+iaBYp3umJo4/RVSlXsx6LJ2+R1eJuodU/vkt5vSfQQGfHteDq3VZ6b20FbfyxiC4YdDG3o6NOBwsCN4ud/ccqadPeIppxKttbdGd10pDQRF/s3kRxMfE0ZtA4v90jwqL0hyJlQmnOGfl0UnI8HWYb9ZeeX/Uozb/4anLGBxcKH/5rBY3kJWAHZg5SoqcESk18r+2uaAAyOUxShYsnhjW3TSKVSWK1NdV00kerqXTuJYqoVSIisH+t/B8oRfO+oQcOUC5PAHttfL7fbKrvrezMbPcPFT9cSUM/XUPukWMoIT1TiV8rSfxxlbwcBkxNEuPWO6nLWkfzs2RsgOV0Azaad8BnNRgd7AtEAGLVgG38/PaHaH3xl0rOKRNG0xMP3Oop5Ves8l7xFxKxQe5WiuELP5FvBnV8c0mSmyhvrmWH/xgWIX15m4zzxBNLEfIAABi4SURBVHHeg7xPxE9/3pbCeRJ5W1FMFOW3uBWxU8w/lV3Q2EJlvG0g38OiGurpAG8fU11DZSm9aWxVNe13Oina5aYBHK9wc0oyzduzjx45bSgt/e57Ku2TQi18zPwjR+nvA1Jp6jff8jrfR+j/TZ9K131eSAl8I10+bTJdVbSRevEN/c2csZS3u5wGc/5dfftQyaAsWvjpZ+x/VUWvnTuLJmzbRkMq91Edh69ZddZZNPmLLyjj4EFq5pvYmzNm0JTNm2nQ/v0Kq/VDTlHE6rQtOz1iddm1i+i6l1dQr7o2kSjlHrp+Mf16+Qsevm5nCv3/JXPoivc3Ukpth5gsGjmYxWo0Tdi6i8Vqa1t5/l449gyKYQGR/+1hn54tGnYS18/n/u0RFrNtDwBX30FUx/fhD86Io4m7W2ign59B/zrJSVduaqTExI6HupQVsVqQxi8e/Mek/R3CxNWnY6T8H6nfUfaxVB4B6c395zuC09Qng8pjD9L22HKaUzferxW29s2iYnexMgo4wTEhoKVqhVagjJVUqdQ3xzGHGQX3n3vf9T6dEXUGDeaPVuhp6y91l3Jci2bKdeTq1itli9xFShX5Dv8PWG399VRPH7s+bhOWAcSqv1GyjQ0lxK8RlOccr5yDIthYWzmq3VQXU0+fHFlDucnjKS0unaNy7KVN1SU0Y+B5LMCcVFm3h4oPFrBgm6eIwKbEZnqh9Am6dvwv+Cdr/t7aSCXlJRQbFUfZ6bmkCr0X1j5O8/OvoMT4JM9pPL/2MVp4LoutuHaxyn6RX+zYyPWwmBuWq+Rr7dWW/em/PURXL77ZR2y52UafefYhumbpbZ269qNVK+jMUdmECVZ8HbdPsLKzWA10bQaLBqCG8qqmNt9amTgmqYIjIDTuKad4nvxVPvUnvIIY72sXuKrYDXjT4B1LCj6ngmGnKdET5N6sl8QnV1I0H2fqt99SKz/TDo8YpfjpSkrhF3/1b1lWV00SNiwlqq1+EcE7N/NLpEywyuWXlDjjQ7GYYKXXQ5G9H2JVp3/vefhF2lN50CNQRbhmpKfSXTdfqZT0J1bVKpWRVR6VcrAIdcY4qb6pjhLj2h5idU21yr4+zr58C3JTXHQcHao9yHscdLIzlVLi+lBCdAJt+rGYclPzlZGWUv773Iw5tPXIZhqQMFARMQcbDtCIvqNo649baGTiaDrYfEB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SYSTEM TIMErxn0_raterxn1_ratestep
00.000000800.0000000.0000000
10.000500357.55555619.6000001
20.000750265.63777423.7399562
30.000763262.35689323.8881183
40.000769260.73994023.9611494
...............
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8601.1761841.2968731.445487860
8611.1821581.2551051.401986861
8621.1881311.2194751.358993862
8631.1941051.1787981.318155863
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864 rows × 4 columns

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" ], "text/plain": [ " SYSTEM TIME rxn0_rate rxn1_rate step\n", "0 0.000000 800.000000 0.000000 0\n", "1 0.000500 357.555556 19.600000 1\n", "2 0.000750 265.637774 23.739956 2\n", "3 0.000763 262.356893 23.888118 3\n", "4 0.000769 260.739940 23.961149 4\n", ".. ... ... ... ...\n", "859 1.170211 1.335790 1.490884 859\n", "860 1.176184 1.296873 1.445487 860\n", "861 1.182158 1.255105 1.401986 861\n", "862 1.188131 1.219475 1.358993 862\n", "863 1.194105 1.178798 1.318155 863\n", "\n", "[864 rows x 4 columns]" ] }, "execution_count": 40, "metadata": {}, "output_type": "execute_result" } ], "source": [ "rates_overest = uc.get_rate_history()\n", "rates_overest" ] }, { "cell_type": "code", "execution_count": 41, "id": "651f35be-fe04-41b7-a567-0697ae8e265c", "metadata": {}, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "hovertemplate": "SYSTEM TIME=%{x}
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CKz22tmVyVvX4Iqt6bG3LLLDS4YusunFFVt34BbXHbJqTZe+2lG1puwlWWnN5eTUPK7ODBns4ccqbQFb1BhhZ1WOLrOqyRVZ1+SKrOnyRVTeuyKobP3nnHZGxY0WGDsvJopc65C+LW+W5Z1vk2fn2p3mYn5kSN7Gx0rrthJx8YresfGL3rOy0c9bxStJXHVnVG1NkVY8tsqrLFlnV5Yus6vBFVt24Iqtu/GTWLJFDDxXZc++s3HZXZ5/WssZBQ2nN/2yRhQta+5T7yEckkNZJRl53Mz+txA4f0dy3GUVWHSdnherIqh5bZFWXLbKqyxdZ1eGLrLpxRVbd+Mn06SJnnilyyhe75ScXr43VWoe5pbWNuL6wqFWeeapVnjaPV1/pm0aw7Xa5QF6txFp53WHH5oq+IquxplNNhZDVmrDFrkTOamxUiQsiq4mRJaqArCbCFbswshobVcmCyKobP/nSl0SuukoCUbXCWuthc16feTovr8HD/LuzKFA7bMNcPuq6u5HYT+QjsBttnN7oK7Ja62yqXg9Zrc7IpQSy6kKvcl1kVY+tbRlZ1eGLrLpxRVbd+Mkee4g89ZQEKQA2FcDnMf+ZfNR13jqJXbKkb/R1wg5GWk3UNR+BzYldzJWWA1nVG0lkVY+tbRlZ1eOLrOqxRVb12CKrbmyRVTd+svXWIkuWiMyd1yFbbKkb5Vz6tom+rou6hlHY7qJg7ibDC1HXMAd22DDHTvZTdWRVDzyyqscWWdVli6zq8iWyqsMXWXXjiqy68ZNx40Ref13kyWc7ZLPNdWW1+FLt4i0rrzby+rR52J9vvtE3+rrjxHzeq00bsBHYbcbX9zprRYys1kquej1ktTojlxJEVl3oVa6LrOqxJbKqxxZZdWOLrLrxky23FHnzTZMK8FyHjN2s/yXQympx9DVXdFkjR5ots4y42rSFfT6ZlV0nNWbqALLqODkrVEdW9dgSWdVli6zq8iWyqsMXWXXjiqy68ZPNNxd5+20T4VzQEdwcoNGObrNBgY269kRgTST2naW9o68bb5KTvffJyt775uV14k6NIa/Iqt5sQlb12CKrumyRVV2+yKoOX2TVjSuy6sYvuCGAvTHAvEUdMnp048lqqe4teS2/88BjD5vHo23yysu95XWE2d91byOt+xh5tRK7fT9tmYWsOk5OIqt6AKu0TBqAHnpkVY8taQB6bJFVN7bIqhs/GTNGZNkykWcXd4j9en0gHq+bXQbmPpYX18cfaTULxnrL6+gxuby4Bo+M2P1f63Egq3qUiazqsSWyqssWWdXlS2RVhy+y6sYVWXXjJ6NGiSxfLvL8nztSc8ep115tkceMtD5u5PWxR1vlrTd7y6tdSBakDQTR14x87OM68oqsOk5OIqt6AIms9htbZFUXPbKqwxdZdeOKrLrxkxEjRFasEFn4YofY3M80Hi+92JIXVyuwJgJbnPO65VZGXm2+qxFXK7DjxvnhgKzqzSYiq3psiazqskVWdfkiqzp8kVU3rsiqGz8ZPlzkgw9EFr3Ukeq7SUUxLX7BRl3z4mrTBt57r3fkdeuPmrQBI602ZcBGYGvdfxZZdZycRFb1ABJZ7Te2yKouemRVhy+y6sa16WX1yhvululX3NpDcb89d5LLLzqrF9Wvnn2JPPzE88Fzxb/feGORlStFFr/SIfZ2qM14LFywTl6NwNq0gQ9W9JZXu69rIK5B9DUrm46NxwlZ1ZtNRFb12BJZ1WWLrOryRVZ1+CKrblybXlatiEbl1P5/87Gj5HtnnBKQPW/6NfLW0vd6yhT/fsMNRVatEvnza2tk6FC3wUhL7eeezUdcrbja6OvfVvaW1z32yspBB2fkwEOyssuu5bfJQlb1ZgSyqscWWdVli6zq8kVWdfgiq25cm15Wi/HZSOuT8xf3yOmUaefI+d85TSZNHB8UnbfgRTn3gitl5nUXBv+3gvr3v4u8+Poa2WADt8FIa217Z61AXM3jkT+1SUdHoaebb5HrEdeDDsnIeusVfoes6s0IZFWPLbKqyxZZ1eWLrOrwRVbduCKrRfysnO69245BZHXpshUyeeqZMuuWS2XsaJOcao7i56ygrlkj8vKba3qJltuwpLd2d7fI7Pva5P7ZrfLAnDZ54/VC1LXF/NMK64EHm8ir+bnP7kNk+cpOyWTjpQ2kl5r/niGr/plGW2SfVT2+yKoeW9sysqrDF1l144qsruNnJXXJm+/2ykmNI6s2EtjZaRZZrczIkCFug9GMtefPa5F77xW5794WeeSR3ukCEyeKTD40J4ceZqKvByGsPueHfcNva2uRrrWNcbcyn31rhLYGD2qVTCbHBy2FwbAfaocMMt/QdGUUWqfJ9vZWEXOP7m4zfzn8EVh/SJu/xpqwJWS1aNCjOapxZNUKaleXyLsrumTQoCacQR67bPernX1fq8ye1Sqz7m2Vv/610LjNDT7k0GzwmDw5J/ZGBRy1Exhk3pCGmMeHHSbUzeGdwND12qWzOytrzYPDL4FWY6vDNmiXlX8395Lm8E5g/cF5qVrDhwGvbDcZOthre83WGLJaNOI2J3Xa6efLwgeuDn5TLWfVCqr9anvJO2ukvb3Zpo9ufxc/t57MuD0jc0zKwAsLzaf9yLH7noVFWrtOQgiSjgRpAEmJJStPGkAyXklKkwaQhFbysqQBJGcWpwZpAHEolS/T9LJqZTRcLGUx2dX+9gh3CKi2G0Cb+RCaNa70xrI10trbp9xGhtoSXWC15LUWmTOrkOuaiXwDaO+oZXcXOGhyPtc1ukgLjKUJIKu6MwNZ1eOLrOqxtS0jqzp8kVU3rk0vq9E9VC3KpPus2vwpe7y13Kyy4vBKoNxuADbt4v7ZpRdp2Qs4eHJhkZbWrWC9drQfGkNWdaEjq3p8kVU9tsiqHltk1Y1t08uqGz4RK6s2omojqxx+CcTduur551rzuwsYgZ37eO/w9oTtsz27C+y3P+kC4Qghq37nanFryKoeX2RVjy2yqscWWXVji6y68Qtk1eaq2pxVDr8E4spq9Kzvv9/SI673zzGLtD4o7DBg7zB2kLkRQXhDgtGjm3eRFrLqd64iq7o8o60jq7qsSQPQ4YusunFFVt34BbI6yCzye+1tZNURZZ/qtchqcSOPmTtphSkDi8os0jrgoKxM2q25oq7Iqu/Z2rs9Iqt6fJFVPbZEVvXYIqtubJFVN36BrA42svoqsupIsm91H7IabdUu0ormutpdHMLD3klryqczcoR57LV3+sUVWfU+XXs1iKzq8UVW9dgiq3pskVU3tsiqG79AVu3qc3sHKw6/BHzLavTq1tpFWuYOWjbX9U8PtsmrrxTSBcZtnRdX+/jE7ukUV2TV71wtbg1Z1eOLrOqxRVb12CKrbmyRVTd+gazaW66++Dqy6oiyT3VNWS0+2dNPtsrMu9rkj+axZElBXLcZX4i47rxLesQVWfU9W3u3h6zq8UVW9dgiq3pskVU3tsiqG79AVocOFfnza8iqI8p+ldXoyR9/rDWQViuvb79VENcJO2RNtNU8jszI9jsObHFFVn3PVmRVl2ihdWRVlzQLrHT4IqtuXJFVN36BrNpV5otf6XBsierFBOoZWS1H/+GHChHXZcsK4rrTzlZc8zmu47cdeLsKIKu6f29EVvX4Iqt6bIms6rFFVt3YIqtu/AJZ3WjjnCx6CVl1RNkwkdVy/bCLs/54l5HXu9vkgxUFcbU7CYQ5rlt/dGCIK7Lqe7YSWdUlSmS1XnyJrOqQRlbduCKrbvwCWd14k5wsfBFZdUTZ8LIavcB778mnCdxjxHXVqsJv7E4CNtp6hEkV2GLLxhVXZNX3bEVWdYkiq/Xii6zqkEZW3bgiq278AlkdPiInz/8ZWXVEOaBkNbzYnPHRcGGW/dnZWejGJ/+hEHEdPaaxxBVZ9T1bkVVdoshqvfgiqzqkkVU3rsiqG79AVkeOzMmzi5FVR5QDUlajF223w7IpAqG8ZjKF3x54sM1vzS/Osh9u+vtAVnVHgJxVPb7krOqxtS0jqzp8kVU3rsiqG79AVu1tO+ctQlYdUQ54WY12YPXqQsT1npltvfo2+bD8Hq52ZwG7OK8/DmRVlzqyqscXWdVji6zqsUVW3dgiq278Alkds2lOnlmArDqiTJWsRjvzt5UtJtqa31Vg9n29xdXmttocVyuv66/vm2D59pBVXdbIqh5fZFWPLbKqxxZZdWOLrLrxC2R17GY5eeo5ZNURZWplNdqx999v6dnD9cH7W3t+1d4ueWk18jrlMxmx/9c8kFVNuiaPfdhgWd2ZkY6uSC6I7imbpnVkVXeoSQPQ4YusunFFVt34BbJq7yv/xHxk1RFlU8hqtJPvLLURV7MdlslzffThgrh+5CMinz+mWz53bEb22Vfn5gPIqu/Z2rs9ZFWPL7Kqx5bIqh5bZNWNLbLqxi+QVbtF0dx5yKojyqaT1WiH33h9XcTViOuTcwviau+UdbSRVvvYdKy//FZk1fdsRVZ1iRZaR1Z1SRNZ1eGLrLpxRVbd+AWyutW4nDz2NLLqiLKpZTXa+cWLWmXG79qCx9K3CzcfsHmtnzfSan+6HsiqK8HK9Yms6vFFVvXYElnVY4usurFFVt34BbI6buucPPoUsuqIElktAdDuJDDj1ja5+87Cwiy7oO+Y4/LRVht5reVAVmuhFr8OshqfVdKSyGpSYsnKE1lNxituaWQ1LqnS5ZBVN36BrH70Yzl5+Alk1RElsloB4LJ3W4JI6+9vaZNFCwtpAnvvY9IEplpx7U60mwCy6nu29m4PWdXji6zqsSWyqscWWXVji6y68Qtk9ePb5OShx5FVR5TIakyAcx83aQIm2jrj1nax+7naY/BgkaNNtPWY47pl3/2qR1uR1ZiwayyGrNYILkY1ZDUGJIciRFYd4FWoiqy6cUVW3fgFsjp+25w88Ciy6ogSWU0I0N4xK5/b2i4PP1SItm43IRvktto0AbtTRakDWU0IO2FxZDUhsATFkdUEsGooiqzWAC1GFWQ1BqQKRZBVN36BrG67XU7ufwRZdUSJrDoA/MufW+Q2I61WXt98o7Ao6/Aj8tL66aN6L8pCVh1gx6iKrMaAVGMRZLVGcDGrIasxQSUshqwmBFZUHFl14xfI6oTtszL7T52OLVG9mMCYTdaT5Ss7JZP1t2VTM1C+9578TgJ33l5YlGVvCRxEW02qwMSdsoKs6s4EZFWPL7Kqx9a2jKzq8EVW3bgiq278Alm1K7JnPYisOqIksuoZ4PLlZlGWWZBlxfX55wppAnvunZWpx2fllJNbZK2YXAIO7wSQVe9IexpEVvXYIqt6bJFVN7bIqhu/QFZ3nJiVex9AVh1RIqu+AUbae+qJVvm9WZRlUwVWrcr/wt7S1UZa7U4C/3BA9UVZipeXuqaRVb0hRVb12CKremyRVTe2yKobv0BWd9o5K/fMQVYdUSKrvgGWaC9jUldvM5FWK60P3F+Itm4zPhdIq5XXLbci7cJ1KJBVV4Ll6yOremyRVT22yKobW2TVjV8gq7vsmpWZs5BVR5TIqm+AFdqzOatvLmmTq36bC7bBen1JYVHW5MPyua1Hfd79Tll17FJDnQpZ1RsOZFWPLbKqxxZZdWOLrLrxC2R110lZufs+ZNURJbLqG2AVWd1gSJusWJXPWZ19X/5OWbfPKCzKGjEiJ1NPyMgXTuoWG3nliE8AWY3PKmlJZDUpsWTlWWCVjFfc0shqXFKlyyGrbvwCWZ20W1bu+j9k1RElsuobYAJZDYuueD9/pyybKjB/XiFN4LBPZeTEkzNy6OFEW+MME7Iah1JtZZDV2rjFrYWsxiWVrByymoxXcWlk1Y1fIKu77ZGVP/wRWXVEiaz6BliDrEarPDm3VW6+sV1uur5NcusCq3ZP4RNMpPWEk7tl2LA6XvAAOxWyqjdgyKoeW9sysqrDF1l144qsuvELZHWPvbJy+93IqiNKZNU3QEdZjUZbbzTCeuN17fLqK/nc1kHm9jApT+oAACAASURBVK5WWm201S4w5OhNAFnVmxHIqh5bZFWPLbLqxhZZdeMXyOpeZt/KGXchq44okVXfAD3JarSZu+9sCyKtc2YVclv3PzAbiOtnWZDVgwpZ1ZvMyKoeW2RVjy2y6sYWWXXjF8jqPvtm5Xd/QFYdUSKrvgEqyGrY5KKFrSbSmo+2rlmTf3arcWGKQEZGjWruBVnIqt5kRlb12CKremyRVTe2yKobv0BW990vK7fejqw6okRWfQNUlNWw6dWrJRBWmybwghHY8LC7CNhoq71bVjMeyKreqCOremyRVT22yKobW2TVjV8gq5/8h6zcchuy6ogSWfUNsA6yGj2FTQ2w0daZdxVSBKysWmm18tpMB7KqN9rIqh5bZFWPLbLqxhZZdeMXyKq9VeVNv0dWHVEiq74B1llWw9O98nJLT7T1gxX5BVmjR+fkC9Py0VabLpD2A1nVG2FkVY8tsqrHFll1Y4usuvELZPWAg7Jyw63IqiNKZNU3wH6S1fC0WZMBcOP1JkXARFvnPV1IEbALsay02oVZaT2QVb2RRVb12CKremyRVTe2dZXVHQ88Va677FyZNHF8r6ueOXuuXHbVDJl53YVuvamh9nnTr5Gb75jTU3O/PXeSyy86q1dLXz37Enn4ieeD54p/b2X1oEMyct3N+TsBcfgjMGaT9WT5yk7JZNMfifNHLV5L9nar0TtYxatVe6lHH7YLstqDGw6Ex867mBSBddFWuxVWmg5kVW80kVU9tsiqHltk1Y1tQ8jqvAUvyrTTz5eFD1zt1psaak+Zdk4vSbb/P3rK/nLaiUcGrVmZfWvpez0Ca8V187Gj5HtnnBL83srqwZMzcu1NyGoN+CtWQVZ9Ey20V29ZDc/89lsmRWBdtHXp2/kUgWEbml0E1kmrvelAGg5kVW8UkVU9tsiqHltk1Y1tQ8jqlTfcLTNmPtQvkdVifPZanpy/uEdOrbye/53TeqLBVqzPveDKnmu1sjr5sIz89gZk1W0q9q2NrPom2v+yGu3R72/Nb3312CO9b+tqxdXe3nUgH8iq3ughq3pskVU9tsiqG1t1WQ2jptUus1R6QLU6Gr+3kdM9dp0QRFaXLlshk6eeKbNuuVTGjh4enK74OSur9n7pV1+PrPoeD2TVN9HGktXwap55yqQIrLtDVp/buhpxtZHXgXYgq3ojhqzqsUVW9dgiq25s1WU1ennlclbduuCvto2qTr/i1p50hLiyesSRWbn2hrX+LoSWAgKbDBssKz9cK9nQYODijcDg9jYZMrhVVq1unHn7/vstcv21rXLdNW1idxSwx2CTy3qSuaXrtFMyssuuA0da7f3VO7uy0tU9sCPE3iacx4ZaTYRgo6GD5INVBAg8Yu1pav0h7ebfOVnTydz1yXfEhkN8Ntd0bdVVVhuZrl3k9e0f/qpiFNVef6nI6lFH5eTmWwfOG2kjj0P02ga3t8raTFZwVf8j1mq+eW8zb/prM405b2+7rUWuvkrk/+7JS6s9Dpmck1O/KHLccY15zdFRGtTWIhkzce2OCBx+Cdhvswa1tZoPAsD1SzbfWruZu8ZVpZuFrV7xDhlUSHfy2nCTNIasmoEujqhGxz5OzuqRn8nIFVfxKd/33wxpAL6JFtrrrwVWSXtU6baudt9Wu39rIx6kAeiNCmkAemxty/ZbARshWLWmW/dETdY6aQBuA64uq/ar/7hHf+wGYHNU7VG8XVV4zXF2A/j0URm5/DfIatxxjlsOWY1LKnm5gSKrYc/WrBG54dq+t3U9/sSMnHJqt+z6icaKsiGryedk3BrIalxStZVDVmvjVq0WslqNUOXfq8tq9PRWDI86fD+Zcsheva6q3PNuXateO/xKv1TJ6IKvavus2k3Of/VrZLU68WQlkNVkvJKUHmiyGu1bqdu6HnhwRo6ZmpGjj22MPDtkNclsTFYWWU3GK2lpZDUpsXjlkdV4nMqVqqusNuJNAdzw5fdZPcrI6n8jq64o+9RHVr0j7WlwIMtq2Am7COva37bLtVe1i4282mPEiJwcc3xGjjOPHXbsv2grsqo3d5FVPba2ZWRVhy+y6sa1IWS1P28K4IYvL6ufPyYjl11OZNWVZXF9ZNU30UJ7aZDVsDd//7vI725ul1tv7n1b130+mTXS2i3HGnFtK9w4Sw9qpGVkVQ8zsqrHFlnVY4usurGtq6yW+7q/eKN9ty7Vt7aV1WOOy8h//QpZ9U0eWfVNNJ2yGqVk92y10vr7W9rFSmzw5jtMjLDmpXXXSfWJtiKrenMXWdVji6zqsUVW3djWVVbDCGrxDQBsesAZXzmu5xanbl2qb20rq/ZN8Oe/RFZ9k0dWfRNNv6yGPVxr/hxvNdHW39/SJo8/VtgyZvc9bbQ1I8ef0C2DzB6u4fHhhyJDh/rjjaz6Y1ncErKqxxZZ1WOLrLqxraus2ksttajp4u9+vc+iK7du1a+2ldWpJ2Rk+i+QVd/UkVXfRJtHVqPknn+uNZBWG3H96wf5fVv/4YCs3PT7zuDfT85tlW99c7D89xVd3nYVQFb15i6yqscWWdVji6y6sa27rLpdbuPVtrL6hZMycsnPkVXfo4Os+ibanLIapfg7I60/++kgefWVFjniyIwcfkRG/uX0fIj1G//ULed+388dvZBVvbmLrOqxRVb12CKrbmzVZdV+xT+QI6fV8FpZPfHkbrl4up83uWrna6bfI6t6o52mBVZJKS1+oVVOOGawLFtWuDuWbWPcuJw8+nSHXHzBIFn2rjj9TSOrSUclfnlkNT6rWkqyG0At1KrXQVarM6pUQl1W7cntXaCWvGle/c3RHxv/uyGqXNvK6klGVi9CVr1jRla9I+1psJll1UJ46olW+cIxQ4Itr75/3lr5rdn+6rVXzS1er++UU0/K38P7f6/tCiKvtRzIai3U4tVBVuNxqrUUslorucr1kFU3rnWR1fASwwVW9v/HH3WwfO+MU9yuvgFqW1md9o/dcuElRFZ9Dwey6ptoob1ml1VL4oE5bdJlsncO+1RGfnzeIPnlf7XL5MMyMuve/D5XH98mJ9/9wVo59PDkwoqs6s1dZFWPrW0ZWdXhi6y6ca2rrEYv1d7G9OY75gRPFe8O4Nal+ta2snrKF7vlJxcjq77JI6u+iSKr5Yg+O79VpkweIhtsILJ6tcimY3PyztJ8moD9MDrtHzOy087xt71CVvXmLrKqxxZZ1WOLrLqx7TdZjV72QE4TsLJ66v/rlvMvRFbdpmLf2siqb6LIaiWikw8YIi8szG9zdcVVXWLvkHXBjwb1VDngoKyccFK3fOZz1SOtyKre3EVW9dgiq3pskVU3tg0hq2EXwjSBWbdcKmNHD3frWZ1qW1n90pe75Yc/QVZ9I0dWfRNFVisR/dlP24PFVfZ4+vmOILpq5fWG69rkhmvbpaMjX9suxDrB5KmfMC0jI0fmSjaJrOrNXWRVjy2yqscWWXVjWzdZjX7tn5Z8VYveyuppX+2WH5yPrLpNxb61kVXfRJHVSkRf/EuLHLjvejJua7MrwFPrzHRdBZsaYIX1xuvbZPGiwk0G7LZ1NtpqbzYQPZBVvbmLrOqxRVb12CKrbmzrIqtX3nC3zJj5kMy87sLgau1tVzcfOyo1C6y+/LVu+c8fIatuUxFZ9c2vUnsssCpNx0ZP11uv8kjMvs9GWtvknpn5hVj22GffrHxhmrml69R8igCyqjebkVU9tsiqHltk1Y1tXWTV5qSe/sWje+5SFd7FKg3bWNnI6le+0R1sf8PhlwCRVb88o60hq+5sX3qxRW68rj1IE/jbyvxiLJs6YNMDvvG1Fhk+KiMdXdXzW92vpLlaQFZ1x5vdAHT4IqtuXOsiq/bGAMUr/ks959aV/qltZfVr3+wOtrjh8EsAWfXLE1nV4dndLXLT9UZaTbTV7ioQHsdNzcrUE9fKvvvF30VA5wrT1SqyqjueyKoOX2TVjSuy6sYvyFn1eZtGx8tJVXVkVW84iazqsP3Tg61BtPWO2wopApN2y8qJJtp6gkkTsK8XHG4EkFU3ftVqI6vVCNX2e2S1Nm5hLWTVjV/w5nP6t7rl375LZNURZZ/qyKpvooX2kFU9trblVSsGyxW/NntI/7a157auw0eYFAGzIMvennnrj5beRUD3qtLROrKqO47Iqg5fZNWNa91kNc5lDsQcViur/3xGt5xzLrIaZ4yTlEFWk9BKVhZZTcYraenoAqtbbjQLsky09cm5hRSBIz9rdxHIyEGHkNOalC2ympRYsvLIajJecUsjq3FJlS5XF1l1u8TGrm1l9VtndcvZ/4as+h4pZNU3USKrekR7t1xqN4C5j+dTBG69qZAisONEkyJwcj5FYMiQel3dwD4Psqo7fsiqDl9k1Y0rsurGL0gD+Jd/7ZZvfwdZdUTZpzqy6psosqpHtLqshiWWvdsSLMa60SzKevONfBLr0KESCKvdt3XC9izIqjROyKruLEZWdfgiq25c1WXVrvqPewzUNIAzz+6Ws85GVuOOc9xyyGpcUsnLkQaQnFmSGnH3Wb19Rv7uWI/8qZAiMPkwm9eakcOPIEWgFHNkNclMTF4WWU3OLE4NZDUOpfJl1GU1emp7M4CjDt+vZ7/V8HflnnfrWn1q28jqv56zVs74ttm/hsMrAWTVK85ejSGremxty3FlNbyK+c/YFIF8bmt2XWB1/LZ2z9buYCeBYRuyICtkhazqzl1kVYcvsurGta6yWm5v1Zmz58plV83oucOVW5fqW9vKqs1XtXmrHH4JIKt+eUZbQ1b12NYiq+HV/PUDc6MBc0tXG2195eV8ikD7IDHC2h3cbGDnXUgRQFZ15y6yqsMXWXXj2hCyOm/BizLt9PNloKYB2J0A7I4AHH4JIKt+eSKrejyLW04aWS11ZTPvMnmtJto6Z1ZhQdb+B9o9W7vlM59r3hQBZFV3HiOrOnyRVTeudZXVcl/3W1k994IrB2xk1e6xavda5fBLAFn1yxNZ1eOpIathmy8sbA1u6Wp3ElizJv/suHE5+YJNETC5rSNHNleKALKqO4+RVR2+yKob17rKahhBLXXr1TO+cpycduKRbr3ph9o2DeDfv7dWvvnPyKpv/Miqb6KF9kgD0GNrW/YRWS2+wtWrJRBWK66LFxUWZNkdBE44qVt237M5UgSQVd25i6zq8EVW3bjWVVbtpS5dtkImTz2z11Vf/N2v91l05dat+tW2svof/7lWvn46suqbOrLqmyiyqke0d8sasho9w+z78ikCf7y7kCKw9z5ZOcHcHevYqelOEUBWdWcxsqrDF1l141p3WXW73MarbWX1e+etla9+A1n1PTrIqm+iyKoe0frKani2l1+ye7a2B4uyVv41vyBr07F2F4F8tHXzLdKXIoCs6s5iZFWHL7LqxhVZdeMX3BTgP3+4Vr78dWTVEWWf6siqb6LIqh7R/pHV8Kzd5uXnJnOTAXuzgWfnF1IEPn+M3bO1W/bdLz0pAsiq7ixGVnX4IqtuXJFVN36BrP7g/LVy2leRVUeUyKpvgBXaI2dVF7Z2GkClq//Tg/nbut5xWyFFYNJuJkXARFvtTgL2NWsgH8iq7ughqzp8kVU3rsiqG7/ghf+HP1krX/oysuqIEln1DRBZrSPR/o2sluroG6/bPVtNioCJti5bljfUTYbngpsM2JsNfPRjAzNFAFnVndbIqg5fZNWNK7Lqxi+Q1R9dsFa+eBqy6ogSWfUNEFmtI9HGk9XoFd1yo1mQZcT1iccLKQJHfsZKa0YOOmRgLchCVnWnNbKqwxdZdeOKrLrxC2T1xxetlX/8ErLqiBJZ9Q0QWa0j0caW1fDqrKzaW7reelMhRWDHietSBExu65Ah/YYs9omR1dioaiqIrNaErWolZLUqoooFkFU3foGsXvDTtXLyqciqI0pk1TdAZLWORAeGrIZXuexdkyJgtr6y4vrmG/kUgY98xNzW1Qir3bd1wvaNuyALWdWd1siqDl9k1Y0rsurGL5DVCy9dK9NOQVYdUSKrvgEiq3UkOrBkNXq1t8/I3x3r4YcKKQKTD7O7CGTk8CMaL0UAWdWd1siqDl9k1Y0rsurGL5DVi6evDSISHH4JsHWVX57R1tgNQI+tbbk/dwOotWfz55ldBMxiLJvbmlnnqOO3tXu2dps9WzOy4UaNsSALWa11hOPVQ1bjcUpaCllNSqx3eWTVjV8gq5f8vCv46ozDLwFk1S9PZFWPZ3HLA1FWwz789QO7i4BJETA3G3jl5XyKQPsgCW4yYKOtO+/SvykCyKruPEZWdfgiq25ckVU3foGsTv9Fl0w9AVl1RNmnOrLqm2ihPSKremwHamS1FJGZd+Vv6zpnVmFB1v4HmgVZRlw/+/n+ec1DVnXnLrKqwxdZdeOKrK7jN3P2XLnsqhky87oL+xD96tmXyMNPPB88v9+eO8nlF53VU8bK6s8u65LjvtA/L9xuw9/YtZFVvfFBVvXYpklWQ0ovLDQpAuuirWvW5J/daty6FAGz/dWoUfVLEUBWdecusqrDF1l149r0sjpvwYsy7fTzA4rjthjTR1bPm36NvLX0vR5BteK6+dhR8r0zTgnqWFn9+X93ybFTkVW3qdi3NrLqm2ihPWRVj20aZTWkZUXVpgdYcbUCGx7Hn5i/O9bue+qnCCCrunMXWdXhi6y6cW16WQ3xlYusTpl2jpz/ndNk0sTxQVErt+decGWP1FpZ/cX/dMnRxyKrblMRWfXNr1J7yKou7YGcsxqXjE0NuMEsyPrj3YUUgb33sXu2dsuxx+u9HiKrcUeotnLIam3cqtVCVqsRqvx7ZHUdn1KyunTZCpk89UyZdculMnb08KBk8XNWVn95RZd87mi9F2e3IR64tYms6o0dsqrHNs2R1VLUXn7J7tnabvZsbZOVf80vyNp4k1zwmviZz2XECqzPA1n1SbNvW8iqDl9k1Y0rsupBVm+4MSdTp7oNBLX7ErBvSpls/XLhmmkMrFK0mE9a2Rx8Nca91bDNGbbNRNdud/Wb34hcc02LPP5Ygeq224ocd5x95GTiTn5o89rgh2OpVuzrgpiZy0uDX8Z2znLUTgBZ9SCrv75qrXzmKCKrtU/D0jVHbjREPljVhbD6BmvaGzK4TdYf3Cp//XCtQus0ufHQQbKmKyudXc35uvCs2bP1D3eYx+1t8sbrhTfp3XbPml0EzMNEXMeOrU3l7Zv+JsMGy/KVnUw0BQJD12+3riofdrB3uE+89ptCjtoJIKsVZNX+Kk7O6hX/2yVHfrY535Rqn3rVa5IGUJ1RrSVIA6iVXLx6zZCzGo+EyEMPtMqdd7TJnbe3y6pVhVoHTzZpAuZDvk0VWH/9uK2JkAYQn1UtJUkDqIVa9TqkAVRnVKkEslpFVuPsBvDrq7tkyqeRVbep2Lc2suqbaKE9ZFWPrW0ZWS3N904TabXievedhUVZ9oYDnzXS+mnziHN7V2RVd+4iqzp8kVU3rk0vq9Gtq0KUZ3zlODntxCN7yFbbZ/U313TJp6Ygq25TEVn1za9Se8iqLm1ktTJfe5csK602TeDRhwtbYI0cmQsirfax196lF2Yhq7pzF1nV4YusunFtell1w5ffZ/Wq67rksE8hq64si+sTWfVNlMiqHtHeLSOr8Ukvea0lkFYbdV24oCCu24zPBdFWmyowYfuCuCKr8dnWUhJZrYVa9TrIanVGlUogq278Aln97Q1dMvkwZNURZZ/qyKpvosiqHlFk1Qfb+WZh1l02v9U83nwjsjBrj2wgrXZh1mabidjFl+9+0OHjlLRRRABZ1ZkSyKobV2TVjV8gq9fe1CV2sQCHXwLIql+e0dZIA9Bja1smsurO98H77cKs9iDi+uGHhfYOOTQrJ53YIgcc2iHrscDaHTSy6p1hqQaRVTfMyKobP2TVkV+l6siqHlxkVY8tsuqXrd3vM1yYNfOuwsKsQYPzC7NsfuuhhxMs8EWdyKovkr3bQVbduCKrbvwCWb3+li458GBeLB1R9qmOrPomWmgPWdVji6zqsf1gRYvc9Qdzi9c7B8mDDxbOM2pUfmGWTRPYYy+/d8zS601jtoys6owLsurGFVl14xfI6o2/65T9D+QF0hElsuobYIX2kFVd2KQB6PENF1jNfaazZ2HWooWFhVnjxuVksom0Hjw5SxChhmFAVmuAFqMKshoDUoUiyKobv0BWb57RKfvtj6w6okRWfQNEVutItPepkFU99KV2A5j/TP7GA380aQJLlhQWZg0dKnKQWU9wiHkcZOTVbo3FUZkAsqozQ5BVN67Iqhu/QFZvvb1T9t0PWXVEiaz6Bois1pEoslov2NW2rnpybqvMmd0mc+5rlQXPFyKu9vr23icrBx9qoq6HZGX7HXnNLjVmyKrOTEZW3bgiq278Aln93R86ZZ99eeFzRIms+gaIrNaRKLJaL9jVZDV6HXYP1zmzjLjOMgJrfkaPj308F+ziYh8HHMTrd8gGWdWZyciqG1dk1Y1fIKu/v7Mz+MTO4ZcAC6z88oy2Rs6qHlvbMmkAenyTyGr0KlavFrnfCOts87jfyOuyZYV0gWHDeqcLjBjRvOkCyKrO3EVW3bgiq278Alm97a5O2bPMrQEdm2/q6siq3vAjq3pskVVdtrXKavFVPfF4Ptpqo67RO2fZcvabsjBdYMIOzRWIQFZ15i+y6sYVWXXjF8jqHTM7Zfc9m+sFzRFbrOrIaixMNRVCVmvCFrsSkdXYqBIX9CWr0RO/9mohXeB+k+8aPT6+TSFdoBl2fUFWE0/JWBWQ1ViYyhZCVt34BbJ65z2d8ondkVVHlH2qI6u+iRbaQ1b12BJZ1WWrIavRK/7733unC7z3XiRdYEMjrmZxVhh1HZ7CdAFkVWf+IqtuXJFVN36BrN59b6fs+glk1RElsuobYIX2kFVd2ERW9fhqy2rxlc+16QL35dMFovu52nL7fDIrh5jdBQ4yAjth+3S8ByCrOnMXWXXjiqy68QtkdeasTtll13S8UDni8FqdyKpXnL0aQ1b12BJZ1WVbb1mN9ubVVwrpAg/M6Z0usM34nJHXjOxt8l33MmsYxm42MBdpIas68xdZdeOKrLrxC2T1njmdstPOyKojSiKrvgESWa0j0d6nIrKqh74/ZTXaqw8/7J0usHx5IV3AlrO5rnbh7Z57ZYKfW390YMgrsqozd5FVN67Iqhu/QFb/7/5OmbgTsuqIEln1DRBZrSNRZLVesBtFVov7+9QTrfL4Y60y1zyenNsmq1b1LrHFlkZe9zLyasR1D/OzUdMGkFWdmYysunFFVt34BbJ634OdsgN3Q3Ek2bc6aQDekfY0SBqAHlvbMpFVPb6NKqvFPZ4/z0iryXd90kis3SYrulDLlh01Kh95teJqH7tOaoyAB7KqM3eRVTeuyKobv0BWZz/UKc22F58jtljVkdVYmGoqhKzWhC12JWQ1NqrEBQeKrBZ3bPELNuKaF9cnzM833+idNjDM7DSwh9kCMUgdCNIHssH7S70PZFWHOLLqxhVZdeMXvJjMebhTtpvQGJ+KHbvTUNWRVb3hQFb12BJZ1WU7UGW1mIrd2zUvrm3Bz5df6m2mgwZLT9pAmPe63nq6bG3ryKoOY2TVjSuy6sYvkNUHHu2Q8dsOjOR5x+7WtTqyqocbWdVji6zqsk2LrBZTWvq2kdcw8mrktXibLFve3nwmzHu1Pzfa2P/7DrKqM3+RVTeuyKobv0BWH3q8I1j5yeGXALLql2e0NWRVjy2yqss2rbJaTG3F+wV5tXmvzzzV2ges3YXGpgzsbLZO3HHHnGzvYe0Esqozf5FVN67Iqhu/QFb/NLdDPvZxZNURZZ/qyKpvooX2kFU9tsiqLttmkdViivbOWnaXgTD6avNfu7t7l2ofJLK9uTnB9kZcd9jB7DgQPHLBYq64B7Ial1SycshqMl7FpZFVN36BrD7yZMeA2UPPsbt1rY6s6uFGVvXYIqu6bJtVVoupZjISiKvdcWDhQvN4vlXsTQtKHZuONfJqoq4Tts9HX7df97NUWWRVZ/4iq25ckVU3foGsPvp0h4wbF/+Tq+Mpm6Y6sqo31MiqHltkVZctslqer71RwQtGXO3OA4sWtgQ/7f+L93y1LbS3S7DXazQKa//9sXHmF7mcrFpTFLbVHdbUt46sug0xsurGL5DVx5/pkC23QlYdUfapjqz6JlpoD1nVY4us6rJFVpPztTsPvLDIimteYO3irXJR2LFjRXacmJPx22XyUViTRrC9SSfoj220kve0cWsgq25jg6y68Qv+gJ+Y3yGbb4GsOqJEVn0DrNAesqoLm31W9fgiq37Y2hzYXlFYI7OLFrXIqr/1TSVoazO5sOvyX/PpBPmI7OjRvO/FHQ1kNS6p0uWQVTd+gaw+9VyHjN2MP1pHlMiqb4DIah2J9j4VsqqHHlnVY2tbXv7OYFm4QOSZeVl5YV0awSsvl86FHT2mKBfWRGG32y4rdqEXR28CyKrbjEBW3fgFsvrMgg4Zsymy6ogSWfUNEFmtI1FktV6wkVVd0qUWWNko7GKbRhDIq0klWBeF/dvK0hK7zXiT+/rxrGxl1nJssWUu+LmVSZXbYqusDBume/2N2jqy6jYyyKobv0BW5y3sEPsJk8MvAXJW/fKMtkYagB5b2zKRVT2+yKoeW9tykt0AlizJi6sVWCuy9t8vvVj5HrEjRuSCNR5bGoHdcp3I5oXWyK153t65K40Hsuo2qsiqG79AVue/0JFoHzvHUzZNdWRVb6iRVT22yKouW2RVl28SWS11Jd1rRf7yl/wCrjffaJHXjdC+8bp9tAY/16ypfP02pc5Ka0FoCxHagbyQGVl1m7fIqhu/QFaf+3OH2E+LHH4JIKt+eRJZ1eNZ3DKRVT3WyKoe26SR1VquZNm76wTWiOwbVmQDoc2LrH1ks+VbtQu9Aok1j61MSsEW9ue6CK2N1Dbygi9ktZbZUqiDrLrxC2R1wV86ZJPhedmvlQAADbxJREFUyKojyj7VkVXfRAvtEVnVY0tkVZctsqrL1zWy6np1obQGEdk3jMT2CG2LvLO0corBBhtYmc1GhDYX7NQzyuxaYFP1RozM9VvOLLLqNjOQVTd+gawueqlDNtoYWXVEiaz6BlihPWRVFzaRVT2+yKoe23pEVl2uvqtL1qUV5COxeaEtRGhXvF9ZZu2511tPZKS5/WzwMPI6cpT5f/Az8txI85wRXPu8r/1lkVWXkRdBVt34BRN58SsdMmxDZNURJbLqGyCyWkeivU+FrOqhR1b12Da6rFbrud0jNp9WEObJ5qOxy5aZh0k/eM/8XL26Wiu9fx+IbCCuJaS2SHTXX79828hqMu7FpZFVN355WX11Tb99teB4+Q1dnTQAveEhsqrH1raMrOrxRVb12A50WY1Dxm7DtXx5i7z/npFX88j/O/9c8H/zeH+5+b/9GSNSGz3n0KESpBrYtINAcgPRzUvuueew+Wyc8SlXBll1oWfqWln9y5I18pGPODZEdSKrdZwDyKoubGRVjy+yqse2GWQ1CT272MtKqxXZ5euEdrmJzgb/D5/r+X2LdHaWbz3Hl69J0Pcpi6w64cvL6ktvrJFK4X/HUzRtdSKrekOPrOqxJbKqyxZZ1eXb3wusdHun27pNQ3jPSm0YsbXR2mUi2VyLXHpRu+7JU946shpjgL969iXy8BPPByX323Mnufyis3pqWVl95a01MmRIjIYokogAspoIV6LCyGoiXIkLE1lNjCx2BWQ1NqqaCiKrNWGrWomc1aqIKhZAVqvwO2/6NfLW0vd6BNWK6+ZjR8n3zjglqGll9bW316T2rhtu08utNrLqxq9SbWRVj61tGVnV44us6rG1LSOrOnyRVTeuyGoVflOmnSPnf+c0mTRxfFBy3oIX5dwLrpSZ113YI6tL3lkj7UT43WZiidrIqnekPQ0iq3pskVVdtsiqLl9kVYcvsurGFVmtwG/pshUyeeqZMuuWS2Xs6OFByeLnbGT19XfXiL2zBodfAsiqX57R1pBVPbbIqi5bZFWXL7KqwxdZdeOKrHqQVbti0NfGwW7DSW0IQAACEIAABCCQLgLIqqOspms60BsIQAACEIAABCDQWASQ1SrjUS1n1VZ/+/01jTWqKbka0gD0BpI0AD22tmUWWOnxJQ1Aj61tmTQAHb6kAbhxRVar8Ku2GwCy6jYBK9VGVvXYIqt6bJFVXbbIqi5fZFWHL7LqxhVZjcGv0j6ryGoMgDUWQVZrBBejGrIaA5JDESKrDvCqVEVW9dgSWdVji6y6sUVW3fgFtUkD8ACxRBPIqg5X2yqyqseWyKouW2RVly+RVR2+yKobV2TVjR+y6oFfuSaQVT24yKoeW2RVly2yqssXWdXhi6y6cUVW3fghqx74IauKEMs0jazqMicNQI8vsqrH1raMrOrwRVbduCKrbvyQVQ/8kFVFiMhq/eGaMyKretiRVT22yKoeW2TVjS2y6sYPWfXAD1lVhIis1h8usqrKHFlVxUtkVQkvsuoGFll140dtCEAAAhCAAAQgAAFFAsiqIlyahgAEIAABCEAAAhBwI4CsuvGjNgQgAAEIQAACEICAIgFkVREuTUMAAhCAAAQgAAEIuBFAVmvkV+2uVjU223TVknC0t769+Y45PYz223Mnufyis5qOWdwOJ2EbbXPm7Lny7R/+Sq677FyZNHF83NM1Xbla+O544Kk9nC7+7tdlyiF7NR23OB1OynbKtHNkyZvv9jS98IGr45yGMiUI2L//y66aITOvuxA+EGgYAshqDUNhpemtpe/1iJJ9Yd187Cj53hmn1NBa81ZJytG+IUVfQO3/j56yv5x24pHNC7FMz5OyDZsJ36jsGz+yWn5aJeW7dNkKmTz1TEFQq/+pJmVb/PpbXL/6GSlhCcxb8KJMO/38AMa4LcYgq0yLhiKArNYwHFaSzv/OaT1RJ/tHfu4FV/LHnZClK8crb7hbnpy/mOhqCe61sI1GVGwEEFktP6GT8rUCtdmYEXywivEakZStLX/6F4/uiVITGYwBuUIR+Lnxo7YOAWQ1IdcwQjLrlktl7OjhQe1SzyVstumK++BoIyp77DoBASiaPbWwLX6DQlbL/0nWwtfytNGq6FfV0deQpnsBKNPhWtjaD63Tr7hVzvjKccFrAa8LbrMJWXXjR20dAshqQq61vJgmPEVTFHflGL5BkZvWd7okZVvqzQlZ9Ser4XhEI9XM39J8k87daLAg+mGA14Xa30aQ1drZUVOPALKakG0tL6YJT9EUxV04hguAiEz5ecMvXrgWbZUcS/cPA+W+eeEDgTtb20IxRz4IuL2FIKtu/KitQwBZrYFr0pyqGk7RFFVq4cgbUbypUQvbaMuIVGXOSfmW4gnj0oyTsHX50BvvL6n5SiGrzTfmA6HHyGoNo5R0tWoNp2iKKtU42twze4TbUxX/vykg1djJpGyLT4NIVQaflK8t//jTC3sWYdoPXTNmPsSizBKYk7K1c/X4ow7u2Y0FtjW+aKyrhqy68aO2DgFktUauSfcBrPE0qa9WiWNUTsMISikgrFovPU3isi1VG1mt/qeXlG803YKtgSrzTco2un8tbKvP3VIloltXhb8PF63V1iK1IOCPALLqjyUtQQACEIAABCAAAQh4JoCsegZKcxCAAAQgAAEIQAAC/gggq/5Y0hIEIAABCEAAAhCAgGcCyKpnoDQHAQhAAAIQgAAEIOCPALLqjyUtQQACEIAABCAAAQh4JoCsegZKcxCAAAQgAAEIQAAC/gggq/5Y0hIEIAABCEAAAhCAgGcCyKpnoDQHAQhAAAIQgAAEIOCPALLqjyUtQQACEIAABCAAAQh4JoCsegZKcxCAAAQgAAEIQAAC/gggq/5Y0hIEIAABCEAAAhCAgGcCyKpnoDQHAQhAAAIQgAAEIOCPALLqjyUtQQACEIAABCAAAQh4JoCsegZKcxCAAAQgAAEIQAAC/gggq/5Y0hIEIAABCEAAAhCAgGcCyKpnoDQHAQhAAAIQgAAEIOCPALLqjyUtQQACEIAABCAAAQh4JoCsegZKcxCAAAQgAAEIQAAC/gggq/5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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Let's take a look at how the reaction rate varies with time\n", "PlotlyHelper.plot_pandas(df=rates_overest, colors=\"blue\",\n", " title=\"Reaction rate, dP/dt, over time\",\n", " x_var=\"SYSTEM TIME\", fields=\"rxn1_rate\", \n", " x_label=\"time\", y_label=\"dP/dt\")" ] }, { "cell_type": "code", "execution_count": null, "id": "3d98bdb0-2885-49f2-ad3e-aab03075683c", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": 42, "id": "b1633906-9132-4e29-a944-59af34401280", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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SYSTEM TIMEPESESstepcaption
00.0000000.0000000.0000001.00000020.000000Set concentration
10.0005000.0000000.4000000.60000019.60000011st reaction step
20.0007500.0049000.4844890.51551119.5106112
30.0007630.0051970.4875130.51248719.5072913
40.0007690.0053460.4890030.51099719.5056514
........................
8601.17618419.7227140.0295000.9705000.247787860
8611.18215819.7313490.0286120.9713880.240039861
8621.18813119.7397240.0277350.9722650.232542862
8631.19410519.7478420.0269010.9730990.225257863
8641.20007919.7557160.0260690.9739310.218216864last reaction step
\n", "

865 rows × 7 columns

\n", "
" ], "text/plain": [ " SYSTEM TIME P ES E S step \\\n", "0 0.000000 0.000000 0.000000 1.000000 20.000000 \n", "1 0.000500 0.000000 0.400000 0.600000 19.600000 1 \n", "2 0.000750 0.004900 0.484489 0.515511 19.510611 2 \n", "3 0.000763 0.005197 0.487513 0.512487 19.507291 3 \n", "4 0.000769 0.005346 0.489003 0.510997 19.505651 4 \n", ".. ... ... ... ... ... ... \n", "860 1.176184 19.722714 0.029500 0.970500 0.247787 860 \n", "861 1.182158 19.731349 0.028612 0.971388 0.240039 861 \n", "862 1.188131 19.739724 0.027735 0.972265 0.232542 862 \n", "863 1.194105 19.747842 0.026901 0.973099 0.225257 863 \n", "864 1.200079 19.755716 0.026069 0.973931 0.218216 864 \n", "\n", " caption \n", "0 Set concentration \n", "1 1st reaction step \n", "2 \n", "3 \n", "4 \n", ".. ... \n", "860 \n", "861 \n", "862 \n", "863 \n", "864 last reaction step \n", "\n", "[865 rows x 7 columns]" ] }, "execution_count": 42, "metadata": {}, "output_type": "execute_result" } ], "source": [ "history_overest = uc.get_history()\n", "history_overest" ] }, { "cell_type": "markdown", "id": "75b6c550-9716-4766-86a4-bd4afe2226ac", "metadata": {}, "source": [ "# Comparing the 3 scenarios" ] }, { "cell_type": "markdown", "id": "27443513-5acd-4676-bddd-bedb837488e0", "metadata": {}, "source": [ "#### The concentrations of the intermediate `ES` over time" ] }, { "cell_type": "code", "execution_count": 43, "id": "36fc0e0f-bc37-4bb3-88e3-e755c1d73cdb", "metadata": {}, "outputs": [], "source": [ "es_under = PlotlyHelper.plot_pandas(df=history_underest, \n", " title=\"underestimated k1_forward\",\n", " x_var=\"SYSTEM TIME\", fields=\"ES\", \n", " x_label=\"time\", y_label=\"ES\", colors = \"yellow\")" ] }, { "cell_type": "code", "execution_count": 44, "id": "13df7a7f-c94e-4cf9-90ee-1c8e99ff5671", "metadata": {}, "outputs": [], "source": [ "es_exact = PlotlyHelper.plot_pandas(df=history_exact, \n", " title=\"exact k1_forward\",\n", " x_var=\"SYSTEM TIME\", fields=\"ES\", \n", " x_label=\"time\", y_label=\"ES\", colors = \"green\")" ] }, { "cell_type": "code", "execution_count": 45, "id": "163c2f25-68f5-4361-ae0f-8e6f7e96572a", "metadata": {}, "outputs": [], "source": [ "es_over = PlotlyHelper.plot_pandas(df=history_overest, \n", " title=\"overestimated k1_forward\",\n", " x_var=\"SYSTEM TIME\", fields=\"ES\", \n", " x_label=\"time\", y_label=\"ES\", colors = \"purple\")" ] }, { "cell_type": "code", "execution_count": 46, "id": "fd48ef57-477e-4974-85ee-4c315e6e7159", "metadata": {}, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "hovertemplate": "underestimated k1_forward
SYSTEM TIME=%{x}
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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "PlotlyHelper.combine_plots([es_under, es_exact, es_over],\n", " title=\"ES\")" ] }, { "cell_type": "markdown", "id": "98e18ba1-38f7-44c4-bb7f-9cec4a059c66", "metadata": {}, "source": [ "#### The concentrations of the product `P` over time" ] }, { "cell_type": "code", "execution_count": 47, "id": "4b961bd7-8c6a-47a2-9439-52675b39dc15", "metadata": {}, "outputs": [], "source": [ "p_under = PlotlyHelper.plot_pandas(df=history_underest, \n", " title=\"underestimated k1_forward\",\n", " x_var=\"SYSTEM TIME\", fields=\"P\", \n", " x_label=\"time\", y_label=\"P\", colors = \"yellow\")" ] }, { "cell_type": "code", "execution_count": 48, "id": "030169b1-dc65-42b6-b830-4b32377f2ae9", "metadata": {}, "outputs": [], "source": [ "p_exact = PlotlyHelper.plot_pandas(df=history_exact, \n", " title=\"exact k1_forward\",\n", " x_var=\"SYSTEM TIME\", fields=\"P\", \n", " x_label=\"time\", y_label=\"P\", colors = \"cyan\")" ] }, { "cell_type": "code", "execution_count": 49, "id": "a53f9f12-a597-4bf1-8ce5-5afb1053583d", "metadata": {}, "outputs": [], "source": [ "p_over = PlotlyHelper.plot_pandas(df=history_overest, \n", " title=\"overestimated k1_forward\",\n", " x_var=\"SYSTEM TIME\", fields=\"P\", \n", " x_label=\"time\", y_label=\"P\", colors = \"purple\")" ] }, { "cell_type": "code", "execution_count": 50, "id": "75b29f07-2ccb-48aa-b755-738ed2183416", "metadata": {}, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "hovertemplate": "underestimated k1_forward
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K5Pul3WXd0p7SsCRfipdWG2G0ZMl66bayulOUpvJCaRtQLFl9irQAWqSFzgLprv3qpYXNXQd2l3rtZfQCPXxqPwtl+v+xTvbDan/Nd1UaNt7KpMOq9R7QyCuv0a6eWa/MRn7AjTUkRXuZ2/oG48hz9H/Xr5TGetNRImHVPNf6lJ14oS/ah/dE2uhz62zu+of8xPOKFVb1DwWyjqU6rFrnZvXprFf6XF547X3Rw+0j40bJgoWLZfor78Z8X45+vNUzWn27Xqr/YBFWFYgSVhUgBrwEYdX7GyAUaggHUj2UrsrcIEsz2+Xr7wtk+bIeUrGkTOqWFkjWktZwIM3b1MmD+7MzJbRdd8nfvkS6bddDeg3sIf20ENptuxIp3q6bZOVlR0VL5A1W3tfeegX2w6r3rqzGCqvRHqkY7cpptL6bgTFWQOnsHOvL7JEvi6sOq3o9/cqy+XXYgXt0+KRJa4C0vrxunqevt2/vnlt94E+8gBxZL9YTDeLViPXnLtotBtZbPKxXdq1/STBf+tdvpdh/z120WyqqjOH07yNvCTDn0JlnvLCs10h2rcn+fw9hNVm5iPMIqwoQA16CsOqdDaBfJc3OnC/ZWR9Li/bS/dKsRvnim3z57qsSWbukt9QsLRJZEpJuSzcbV0gztOeFxvzSPmkqSwuj3bUA2lcLoqVaIO2mBVQ9kBZt0y0pFMJqUmxpPymR2wC6cmU13rvZE7ma1hmSGZj1+171l8dVhlW91ilDjwjfg5nIlVW7640XvsyX/vUQGPmR7JEm8WokElb1Y+KFxWhr08f+6NOvjCuqMyfdbnw0/L+eeN4YUr9f2PzIeP37eJ6J7IVk15rsHzTCarJyhFUFcpQwBQir7t0Leihdn/2VfJtVob183yzLFufJ2vl9pGF+nhTMr5Py+aslb2NDzAW0ai/VZ2rhs5sWSntrgXRb/eqoEUpLJDcFHxFKWHXvXupsZvr9nv3Lyzrch6kfrwcPM2B0Flat5+vfL19V0eFNN5H3Peo19atxF559gnGPabSAov9+rHP0l5f14KZ/NLn5FVnDOp9o96wmehuAdW7WR05axzLX1tl643lZexU5B91F/4q879PoVZLPtrWuL5F7Vq1XVs2/LFivOEfe5xytT/rPrJ7R9oJdL9V/CgmrCkS5sqoAMeAlCKvu2ABZmV+KZH0iH+dslI+ycuSzxWWySgumufMbjVAaK5g29deupu7RV4q376EF0h6yrXZVtFx76V5/+d7uI5i6KkFY7apges63PkpRf7NR5Jub4l151Wcd+VK1/pK8NaxZX7aPfENVrCuRsc6J9uhH86qqPpfIxznpASra0wASDavWd6/r9fQv8/no1rHMn3e23kS8IndCtMBs/mUgcnzzHDsP948VDt+du9AoF+1pANHuFbbuEWvoNecWzzPWXoi3v1L5J4ewqkCXsKoAMeAlCKvOb4DMjO+0l/IXSFX2EpmX3SrzvymRZfMHSPX84k6DqfQvlvy9+krfPfvIoD16Sy/tn4Xlxc4vIMaIhFXXtIKJIICAIgHCqgJIwqoCxICXIKymdgNkZFRIjhZMszPnyefZm2TOkmL5asEAqZrfS/Ln18e8YpqhXTEt3bNcBmqhtOdefVwXTKOpEVZTu5eojoAdgVhv9DJreO3DAOysXeWxhFUFmoRVBYgBL0FYVbsBsjIXS27229KgBdT3lmbKwo/7ay/n95PW+ZlSNr8y6j2m7VowLd6rXLbXgmm5drXUbVdMExUirCYqxXEIIOAVAcKqgk4RVhUgBrwEYbWrG6BV8nJmycqcT+TD+nr57I2+sn629oinWdXS66t1WxVv1oJp7t7l0n+PPjLYhS/ld0WDsNoVPc5FAAE3ChBWFXSFsKoAMeAlCKv2N4B+9XRh7iL5KKdWPp+bp4VT7Vmks6pku7e+61CsSfvUpvaDtjGulA7eo0x20gKqm+4xtb/yzs8grKoWpR4CCKRbgLCqoAOEVQWIAS9BWE1kA7RKTe478kbuOnl7ebEse7239J+1UnaYvUwKquo6FGg7fFspP3Kg7H/ottLvAP2TioLzRVgNTq9ZKQJBESCsKug0YVUBYsBLEFajbwD96um3ufPl9dYW+eiNEqmdXWiE096fVXQ4IXNn7aH6R2wvg7WQOuDI7SS7KCewO4qwGtjWs3AEfCtAWFXQWsKqAsSAlyCsmhtgy72n83KXyeyPc2WJdvW0YFadEVAjv0Ldc6T3EdvJTkcMNMJptx1KAr6Dflw+YZWtgAACfhMgrCroKGFVAWLASwQ5rOpXT0PZb8irFZtl7ls9ZN2sUimfvUaK1tR02BU5B/eVXY7YUbbTAmrfgwcEfMfEXj5hla2BAAJ+EyCsKugoYVUBYsBLBC2sZmcukg15s+W1ZXWycFp/CU1rl77z13TYBS07FEvvI3eSfQ/T7jvVAmpuSV7Ad0liyyesJubEUYkJxPo0o8TO7vyoyE9+svOJTyrGTrZGsh+pmux4nLdFgLCqYCcQVhUgBrxEEMJqRmiTLM2fLa9XbpQvppVI3jONsu2734c731qYLRlHbys7Hb6D7HPYNlKyS6+A74rklk9YTc4tiGdZP54zmkEiYTXZAJfI+G7rS7Jrdds6vDYfwqqCjhFWFSAGvISfw+pX+e/L8/XV8vWz2dLz6Q2y4yvfhLvdVpAlOb8aLPudsLPsedyOAd8FapZPWFXjGIQqiYTFzsJq5JVR6+fXJ+Kn1/baJzgRVhPprPpjCKsKTAmrChADXsJvYbU+e5FMz/pe3p2eLTlP18vgaV906HD+yTvLASfsIoNO3EUysjIC3n21yyesqvV0stqEyTNk/ENPhYc0g5z580VvTgz/nh70zJfO9QB1za3/DP9etOAY+bGfd954qXz06VcyZfrr4XMOO3APefCOq7dabmRYXV2xXo497So5/eRj5KaRw8LHJhPgrB9Daq7t4mvvknfnLjRqW9ehn6PP3Vzr9Vf8Tp6c9qrMnHS7cfwt45+Qfn16yvCzjje+twbteE7W+qZ/5JyizcvJPRLUsQirCjpPWFWAGPASfgirGaF18kHBHHnllQapeCZfBj/9hWTXt4Q72+3YAbL3CbvL9lpAzemeG/COp275hNXEbMckdpjyoy7UKvaLUlUPpNNmvh0OXtYAqP/+hx9/aQRKayjTv48Mj/oV04P32y38M/37U4YeEQ5x5vF2r6yaYW7okIM6rCCZsBotTOrzWrm6Mhya9e8/mLcobKKPHxlgzfBsBt3I3zev+kYG/HhO1vpmAI6cU7JrVb6RAlaQsKqg4YRVBYgBL+HlsFqlvVHq2f+tlSXTcqX86dUdHtCfc2gv2XfonrLDSbv4+lOj3LR9CauJdUP/qIhViR2q9KiVMcKqHhzHXjdc9tl9UHg865VB/Rjzy7yaGG1ykcHWDG3RXm63E1ZH3zZBRpx3iliDqj5+sgHOuj7r92YYNece7ZYE002fxwuvvW+E20fGjZIFCxfL9FfejXq12DSLdIoWnqP9LNm1Kt1EASxGWFXQdMKqAsSAl/BaWM3Omi/TFy6UBc9laC/z10mP7zaFO9i2d3fZ+cS9ZF/tPtTuO5YGvLPOL5+wmpi5266sWl8WN1cx6b7R4QBrDW+RK9VD23cr1oZ/ZL6sH+0Ko3lQomHVPD7yKmXk2MkGuGi3GFhDdeQx0cKqeZV51dp1sv+eu8iqtVXG1PTvI28JiFxzNKdowTSad7JrTWxXclQsAcKqgr1BWFWAGPASXgirGRkV8tXGWfLq5Fqp/U9IShatD3etcedi6XvSTnL08XtJzz16B7yb6V0+YTW9/smOnsi77vVwuU2/3rJ8VUX4pXF9POvL/KqvrOr3ieoh0LwNwbrGZAOciiur+tj6/bfm7QJ6OP/XE88bU7xk2EkdrlR35hQtrEb7WbJrTXZfcN4WAcKqgp1AWFWAGPASbg6rGTnT5am5q+WLx/Okz79//JjT+v4FUvDrbeTwofvLLgfqL6ry5QYBwqobumB/Dtb7M/UK+s8uPPsEKe9dKnoA1a8W6vem6j/Xv8z7VK2hT39DkP5lvmEq1j2r+nH9y8s63O9qnXlkbeu45rHJBjjrvBO5ZzXySrM+vnn1M/INYuZVZuuV4HhO0f7CYDXSv7f+ZcF+tznDrgBh1a5YlOMJqwoQA17CbWE1FKqTT7JmyitP1kj9xEwp18Kq+VWrBdQ9zjhYhgzZPuBdc+fyCavu7Esis7I+DcB8M5HdpwHowS0yrOr/bn0agH7vaeSjpxJ5GoBeJzKsRZ5vrs/Ow/1jhcPOngZgDav6uNbbGayhNzJURz41weoU6+p2pJ3+JITIN30l0leO6boAYbXrhkJYVYAY8BJuCasbMlfL88vmyZdPNEr/R1dI7uZGozON5fnS7Xc/kaGn7Su9tisJeLfcvXzCqrv7w+wQQMC+AGHVvtlWZxBWFSAGvES6w+qC3GXy3MyvtauotTLopR8f2t9yRG/Z7ayD5IjfDg54h7yzfMKqd3rl55nGesOYuWavfRiAn3vlhbURVhV0ibCqADHgJdIVVmdvnCevT14p3SeulZKlG4wutOdkSPGw7bSHfx8qZfuWB7wz3ls+YdV7PWPGCCDQuQBhVcEOIawqQAx4CafD6nMfzpJPnqySfpO+D8u37l4ge549SPY//SjJ6cZD+726JQmrXu0c80YAgVgChFUFe4OwqgAx4CWcCquTX5guK++tlB7zf3zslJzSU449cz/Z/ui9A94FfyyfsOqPPrIKBBD4UYCwqmA3EFYVIAa8RCrDaltoozw+bZZU3rtRSj7dElLrtMdO9RjWU379259Lt4E8uN9P24+w6qdushYEENAFCKs/7INYz4mzPkrE3DaRz28jrPKHqasCqQirtVnfyqT/zpWN/9gspZ9vCak1u3aTvpeVy5lnntzVKXO+SwUIqy5tDNNCAIGkBQIfViOfE2c+0y5S0/rZwdGkCatJ7z9O/EFAZVityvlU/vPE51L3jxop/XpLSK3dvZsMvGw7+fWpv8Dc5wKEVZ83mOUhEECBwIdVs+edXVmN9RFz5rmE1QD+yVG8ZBVh9fvcuTL10SXSdk9N+J39dfv0kJ0uHSTHn3K04hlTzq0ChFW3doZ5IYBAsgKE1R/kEr0NINrV14qNWx6czhcCyQrkZGVIQV6mbKxptl1iYfZCee7BLyT77irpvnyzcX79AT1k90v3kuN+/VPb9TjB2wIZIZHSbjlStanJ2wuxOfvePXiChU0yZYfr//3UPxnK+vGmygboYqF4Hwcb65OrujiscXrkq7d2Pt1LxdjJ1ojnlWzdrpxHWI0TVq241s9c1n+/pbWtKz3gXAQkFAqJHjJa29oT1niz5Xt5+p45UnT3CileXWOc1/jTEjn0ykPk57/dN+E6HOg3gZBkZYYC9/9LWZkZfmuka9dj/XjTVIZV61jJoMQLX4mE1Xg1Ys1LxfyTWXNXzkl2rV0ZM965hFWbYdX8WxJvsIq3tfh9OwJ2bgOY1bpJXn/4f9L7niVSWFlnDNN8WHc58KJDZP+hWz4TnK/gCnAbQHB779TKnQxgKsaKF746C6vx3tcSz1yv7bVP64rnFW/Nqfh9wiphNRX7ipo2BRIJq/9raJKZD78uff6xWPI21BsjtB1VJEdcvJ8M/tlBNkfkcL8KEFa921n9lbt35y40FhB5y1m0N/rqxx6w964y/KzjjeOtT66JDEh6YLrzxkuNl+r1L/P3OjvHvFpqaprzuWX8EzJl+uth5MMO3EMuGXaSnDNibPg2AH28008+Jnyc/vL3qrXrwt9Pum+07LP7IKNGrHH034s21oN3XB13vfoBkZZWT+sOiQyrqyvWa5/ed5Ux/5tGDgsfmkyAs37krHmRK1af9cGsvbr+it/Jk9NelZmTbjfmopv069Mz3Hdr0O7MM1p9cy/Y8UrHnzDC6g/qsTai/rc6c5Poh+rfH7zfbh02MW+wSsfW9deYnYXVb2w/dfcAACAASURBVDY3ytOPvCbF/1giOdVb7o8O/SxffnbxT2TgUUP8BcFquixAWE2M8K0xbyV2oOKj9r1wXynuV7xVVT2ErFxdKWYY07//YN4i478/ZoAyg4X1ez10Tpv5dvi/Vdb/numBxvp+i87OifYKoh5mbv7TeVLeu9T47+CI806RoUO2/CXZerwZVvWwZ4Yn837NaOuMDIXW/8ZGu7Iab73WMeIFzcjAZ4ZFc21mo+LViLVNrGGysz6bYTKyV2avzaAb2ctofdLrd+YZbS/Y9VL8RyKhcoEPq5GX+E2xyJugrX/bsP5tSz+HsJrQXuOgTgSihdXq2kaZ+OCrkjVusWQ1tBhnt/2yQIZeso1scyjPSWVDRRcgrCa2M8b1HyfVq6oTO1jhUVetvCpqWLWGGmsgjbySqgen6a+8Gw62eqAbe93w8NVKM/SYVzCjvczd2Tn6+fqV0sgroJEEiYRV81zrOuKFPutV5Ghh1e56441p+oy+bUKHEB655ng1Eg2r8frcWa/0MV547X3jLzGPjBslCxYu7rAPos3B6hmtfrSrs/c9Nq3DhTqFfwSSKhX4sJqUmuUkwqoKxWDXsIbViY+/JjV/+1Jy1215ub/upO4y5NIS2f2A04INxerjChBW4xIZB7jpyqo10JkriAwRkWFJD64n//yw8JVN68vN5vmdhdV451hvEYi8UKM6rOr1vluxNtw4/dYC8wpztLDa2dz79tY+Plp7GT/yNoh4QTOyXqwnGsSrkUhYTaTP0cKk+dK/fivF/nvuot1SUWUMp38feUuAOYfOPOOFZb1GsmtN7E9eckcRVpNz63AWYVUBYsBLmGH10envyFe3LZSSeVse5r/hF6VyyB+L5LD9zwi4EMtPVICwmqiUu45LJESYx0TeH6qvIt672RO5mtaZhhmy9Pte9ZfHVYZVvdYpQ4/ocO9t5LPNY4XVWFd9o3nEC1/mS/96CIz1XPV4NRIJq9HmZg2w0Xqlj/3Rp1+FbwvRXxH+1xPPG0Pq9wub9//q38fzTGQvJLvWVP6JIqwq0CWsKkAMeIkPly2V1297X0qfWWlIbP5JN9lhdJGc8vPTpF1yAq7D8u0IEFbtaLnn2Hj3MuozNd9wZL0dLfL+VnNF+s8uPPsE4x7TWFfrzHtirefoLy/rwc1885Y1ZOlXdvuXl4XvjYx2z2qitwFY52Z9PKR1LNMh1tz19VrP0b9fvqoi5svakXPQ3fSvyPs+9e+TDXDJ3LNqDeJmoLVecdavRluvBMfzjLYX7Hql408NYVWBOmFVAWJAS3xfXy1Tx70s3ccvMwRaCrIk70btnZ4XH6c9c7U8oCosuysChNWu6KX33M7eJa7PzAyF0a4qWl+2j3yTTqwrr7HOMcNRpIZ5VTVyHvq/x3oaQKJh1frudb2e/mXeBhD5vpLIsNbZes1wbc5fD/fWcBu5tmgBzwy38d7XEm/HxAqH0Z76YP1LQWRt6xVm619uzGPjecbaC5G3QsTzirfmVPw+YVWBKmFVAWLASuhvl3r4yeel6a/LpaCy1lh98yVlcubIfaWk514B02C5KgUIqyo1qYUAAm4QIKwq6AJhVQFigEo8+c5r8t3fVkjZh5XGqmt/XiI/u35nOeKnP5N1m4P1EZkBartjSyWsOkbNQAEXiPVGL5PFax8G4OZ2ElYVdIewqgAxACVeWfalfHDHAun31HJjtXW7Fsng6wbIcSecJIl8KEAAiFiiAgHCqgJESiCAgKsECKsK2kFYVYDo4xILmlrkxXEzpe//fWmssjUvU3qMHiBnXHp6eNWEVR9vAIeXRlh1GJzhEEAg5QKEVQXEhFUFiD4sUZERkomT3pacsQulcG2NscKM4SVy1lXHSX7vgR1WTFj14QZI05IIq2mCZ1gEEEiZAGFVAS1hVQGiz0o89s43slx7FFX5nNXGypqPy5eh124r2+0d/ZOnCKs+2wBpXA5hNY34DI0AAikRIKwqYCWsKkD0SYl5SzbIy3fNlt5Tlxoratw5V/a/PlMOPmFEpyskrPpkA7hgGYRVFzSBKSCAgFIBwqoCTsKqAkSPl2hpaJaHx78hWXd9bKykLSdDSm8UOevyIdLcsk/c1RFW4xJxQIIChNUEoTgMAQQ8I0BYVdAqwqoCRA+XeGn6l7L4plmSv7LOWEX98EI5/9p8KSo9P+FVEVYTpuLAOAKEVbYIAgj4TYCwqqCjhFUFiB4sUVNVJ4/d+pLkPbnEmH3Fsb3lkNGbZchep0tbWx9bKyKs2uLi4E4ECKtsDwQQ8JsAYVVBRwmrChA9VuLppz+WNTe8LblVDdKakyntdxbKyPMGSEPTCUmthLCaFBsnRREgrLItEEDAbwKEVQUdJawqQPRIieXaI6ieGjNDiqd+Z8y46qReMvTvrbJXnwu7tALCapf4ODlCgLDKdkAAAb8JEFYVdJSwqgDRAyUmTX1fNl4/V3I3NkpzQbbk35kvF519oPYGqn27PHvCapcJKfCDAGGVrYAAAn4TIKwq6ChhVQGii0ssWlUtL455UUqf2fIxqZt+Uyq//muB7Fh2lrJZE1aVUQa+EGE18FsAAAR8J0BYVdBSwqoCRJeWePg/b0jTnz+RnJomaeqeK73uyJezTj1RWtvKlc6YsKqUM9DFCKuBbj+LR8CXAoRVBW0lrCpAdFmJ91dUyut/mSW9p2+5mlpzenc5e8wA6d3r+JTMlLCaEtZAFiWsBrLtLBoBXwsQVhW0l7CqANFFJf4x6VXJHrVQshpbpbFnjgy8rZuc+OvEn5mazFIIq8mocU40AcIq+wIBBPwmQFhV0FHCqgJEF5R4+dt1Mucvr0q/GVuupjad1V2G37yX5JYenPLZEVZTThyYAQirgWk1C0UgMAKEVQWtJqwqQExjieqQyAOPvSUloz6UUGubNPbJkcG3lcqQE4c5NivCqmPUvh+IsOr7FrNABAInQFhV0HLCqgLENJV4asl6WXjTa7LNK1uemyq/z5cL/nKgZHQ7yNEZEVYd5fb1YIRVX7eXxSEQSAHCqoK2E1YVIDpcoiIjJA889J70v+5dY+SmATlywN8z5MBfXuHwTLYMR1hNC7svByWs+rKtLAqBQAsQVhW0n7CqANHBEtO/rJIFN82S/q9/b4yaN7xdht38E2nPO9HBWXQcirCaNnrfDUxY9V1LWRACgRcgrCrYAoRVBYgOlbj7gfel8KZ3tlxN3S5H9rm9Xg479g/S1t7doRlEH4awmlZ+Xw1OWPVVO1kMAghoAoRVBduAsKoAMcUlPvxkjbxx8ywpeWeVMVLGJe1y6S29pCnjghSPnFh5wmpiThwVX4CwGt+IIxBAwFsChFUF/SKsKkBMYYmJd38gzX992xihZqci2e+OCjnm6DOlpXWXFI5qrzRh1Z4XR8cWIKyyOxBAwG8ChFUFHSWsKkBMQYk1iypl6uhXJP/dLVdTN19eLNfcUi1trdemYLSulSSsds2Ps38UIKyyGxBAwG8ChFUFHSWsKkBUXGLG5IWy8o8vS6itXdbtUio73VUlZx/+U2lsPlLxSGrKEVbVOFJFu8UlFJLeJbmyZn1DoDj69cwP1HpZLAJBEiCs/tDtmbPnyH2PTZOZk27fqv8XX3uXvDt3ofHzww7cQx684+oOxxBW3fNHpr21XR4aNVMyJi4yJrXygn5y/rhVsm3zVdp3We6ZqGUmhFXXtsZzEyOseq5lTBgBBOIIBD6sLvhssZwzYqzBNHBAn63C6i3jn5CVqyvDAVUPrv3Ly+SmkT9+uhFh1R1/zj6ft1pe+9MMKVi4Xtq156g2/bNArjmrl9Q3nu6OCXYyC8Kq61vkmQkSVj3TKiaKAAIJCjgWVvXQN2X668a0Tj/5mA5hL8G5pvSwWFdWh54zSsZeN1z22X2QMb4ebkffNqFDqCWsprQ1CRWf8sh82TxqlnHs2oN6y0H3b5Bf7HCqtLYNSOj8dB9EWE13B/wzPmHVP71kJQggsEXAkbA6YfIMmTbz7XDAi3Z1Mt0NiRZWV1esl2NPu0pmTR0n5b1LjSlG+xlhNX3da6pplH/9+QXJ/89SYxKVl/eSK24TKao/P32TSmJkwmoSaJwSVYCwysZAAAG/CTgSVvWrkyPOO0WGDtnyeetm4Fv05kTXeHYlrK7b3OSadQRpIu+88638b+QMKVy8WZoKs6XggRwZ8ZtDtEdS7e85huysDMnPyZDNdS2emzsTdpeAdgeM9CjKlvXVze6aWIpn07NbTopHoDwCCKRLwJGwuttR58qk+0aHX0rXFxvtZ+lC0MftSlhtbG5N59QDOfY9//eq1F8/11h75dG9Zej9zTJkp8s8a6FfDcvMDElzS5tn18DE3SIQkpzsDGkK2P8v6a9O8IUAAv4UIKz+0FfuWfXGBl+/rk4mjpouxc8tNyZcfW2pXHNDf2lt+qU3FhBjltwG4On2uWry3AbgqnYwGQQQUCBAWI0TVnkagIJdpqjES7OXytdXvSQFK2ulvqxA+t6XK2cce6q0tfdQNEL6yhBW02fvt5EJq37rKOtBAAHHwmoi1Om4hzXy0VXmHEdedKoMP+v48JR5zmoi3UvtMQ/c9aZk/33Ly/7rhvaU396dIzuV/i61gzpYnbDqILbPhyKs+rzBLA+BAAo4Elb97srTAFLX4cUrNsuz2kP+S1753hik5S8F8serBmufRDUkdYOmoTJhNQ3oPh2SsOrTxrIsBAIsQFhV0HzCqgLEKCWmzPhaKka+LHnax0bWbFskP7m/Rn556O+lra1PagZMY1XCahrxfTY0YdVnDWU5CCDgzHNW/e5MWFXf4XF/fUuK755jFN702+5y0d0bpVveKPUDuaQiYdUljfDBNAirPmgiS0AAgQ4CXFlVsCEIqwoQfygxd8kGef1PL0nPd1YYP8m5rVkuuWxH7SNTz1A3iAsrEVZd2BSPTomw6tHGMW0EEIgpQFhVsDkIqwoQtRKPP/OF1F35kmQ1tEj1rsVy+P3fyCH7ni/NrbupGcDFVQirLm6Ox6ZGWPVYw5guAgjEFSCsxiWKfwBhNb5RvCPuHj1bCh+cZxxW/7s8GXXPV1Lfdn+803zz+4RV37Qy7QshrKa9BUwAAQQUCxBWFYASVpNH/ObTCnnh2lek6KPVRpHiezfLBef1ldqGEckX9eCZhFUPNs2lUyasurQxTAsBBJIWIKwmTffjiYTV5BBfmrpIlo+YKaG2dlm3T6kc88/5cvjgU7XHUh2dXEEPn0VY9XDzXDZ1wqrLGsJ0EECgywKE1S4TihBW7SNOvP09ab7zPePENRf2kWvue08Kasdqj6Uqs1/MB2cQVn3QRJcsgbDqkkYwDQQQUCZAWFVASVhNHLG1sUUeuOIlydPeTKV/1Y4rlJsuqZTNdTcnXsSHRxJWfdjUNC2JsJomeIZFAIGUCRBWFdASVhND/O6LKnn28hek8ONKqS/Nl7KJ6+T8o3fTHkt1amIFfHwUYdXHzXV4aYRVh8EZDgEEUi5AWFVATFiNjzj7pcXy9aUvSlZNs1QcVCbHPvq1HNpvmLS0Do5/cgCOIKwGoMkOLZGw6hA0wyCAgGMChFUF1ITVzhH//cCH0nDTG8ZBa8/pI1c8/I10q71Vgbx/ShBW/dPLdK+EsJruDjA+AgioFiCsKhAlrMZGvPdPL0rexM+NA2rGFMoNV4e0x1L9QYG6v0oQVv3Vz3SuhrCaTn3GRgCBVAgQVhWoEla3RlyzfJNMvuJ5KX5ntbRlZ0rhxHa54IQDtMdSHalA3H8lCKv+62m6VkRYTZc84yKAQKoECKsKZAmrHRHfeuc7+eQPL0j+6jrZ8JMSOejR9XL0oOHS1t5TgbY/SxBW/dnXdKyKsJoOdcZEAIFUChBWFegSVn9EnPzvT6R25CvGD6pOLpPzHqyRvlmXK1D2dwnCqr/76+TqCKtOajMWAgg4IUBYVaBMWN2CeN+Y2ZJ77zzj36uvLpLRN5dqj6U6Q4Gw/0sQVv3fY6dWSFh1SppxEEDAKQHCqgLpoIfVjRsbZMKVL0j3GcsMzZx/ZsqFZ/5UmloOUaAbjBKE1WD02YlVEladUGYMBBBwUoCwqkA7yGH1g4/Xyv8u095I9dUGqRlQJHs+ViXH7XeetLZto0A2OCUIq8HpdapXSlhNtTD1EUDAaQHCqgLxoIbVKc9+IZsuflFCbe2y/ugSOWvC97JNd56fmsyWIqwmo8Y50QQIq+wLBBDwmwBhVUFHgxhW77/rfcn5+zuGXvVFxXLz3Wtkc90YBZrBLEFYDWbfU7FqwmoqVKmJAALpFCCsKtAPUlhtbG6Ve/74spRMWWTIZd3ZLCMu7aM96H+4AsngliCsBrf3qldOWFUtSj0EEEi3AGFVQQeCElbnf7NeZl32opTMWyNN3XNl0MRv5aQhv5CGpp8rUAx2CcJqsPuvcvWEVZWa1EIAATcIEFYVdCEIYfXp15bImktelNxNjbJp/+7ym0fnyKBtrpGW1sEKBClBWGUPqBIgrKqSpA4CCLhFgLCqoBN+D6sPPDxPsv8825CqObNYbnzoTaltmiDt7cUK9CihCxBW2QeqBAirqiSpgwACbhEgrCrohF/Daptmc+d1s6R0wnxDKXRjm1x9fYVsqh2nQI0SkQKEVfaDKgHCqipJ6iCAgFsECKsKOuHHsPrtmhr57+Uzpecb30p7SGTA4yvltN9sJzX1IxWIUcIqQFhlT6gSIKyqkqQOAgi4RYCwqqATfgur77+/Qub84UUpXL5ZanYukuMfnyF77Xae1Df9VoEWJaIJEFbZF6oECKuqJKmDAAJuESCsKuiEn8LqC09+KmuufNlQWX98iVzz6GTJy71N++jUgxRIUSKWAGGVvaFKgLCqSpI6CCDgFgHCqoJO+CWsPnnrW1J3zxxDZMMfS+T2O56RjTWPaR+dWq5AiRKdCRBW2R+qBAirqiSpgwACbhEgrCrohB/C6oQRM6X9v58ZGrX3F8jNF3yiBdWHFehQIhEBwmoiShyTiABhNREljkEAAS8JEFbjdGvC5Bky/qGntjpq0ZsTwz/zclhtqW+Why54XrJfXSKNxTmSN7VBRh7ZLNV1N3ppH3t+roRVz7fQNQsgrLqmFUwEAQQUCRBWEwirH378pTx4x9Uxj/RqWK1dWS2PDp8ueR+uko3b9ZDtn1oqw3bdVeoaz1W0vSiTqABhNVEpjosnQFiNJ8TvI4CA1wQIqwENq5WLKmXKBc9J7jcbZPW+5XL41I/kF2UnSmPzsV7bw76YL2HVF210xSIIq65oA5NAAAGFAoTVBMJq5G0AAwf0kZmTbu9wlteurC5693t56/znJHt9g6z42TZy6n/nyN4Zf9A+OnVnhVuLUnYECKt2tDi2MwHCKvsDAQT8JkBYtdnRi6+9yzgj8raAjTXNNquk7/A3pn8pn54zzZjA8tMHyBVPfiwD68dKu+Snb1KMLFmZIcnLydA+dKEVDQS6JBDSPsSjW0GW9klzLV2q47WTexRle23KzBcBBBIUIKwmCGUetuCzxXLOiLES+QarukZv/Edh6iPz5bvLXjKWsvLSfjLm3mXSveUWmwIcngqBzIwMI7A2NhNWU+EbpJoh0f7ik5sp9R75/yVVvSnIzVJVijoIIOAyAcKqzYZEC6teuA3gP/fOlZoxbxqrrbyhTP52XY3UNFxuc/UcnioBbgNIlWzw6nIbQPB6zooR8LsAYTVOh4eeM6rDPar69wfvt5vcNHJY+Ey3h9VHbnlN2v6xwJhvzbhu8ufhfaWh6Vd+39ueWh9h1VPtcvVkCauubg+TQwCBJAQIq3HQ9HtU3527MHzU6Scf0yGo6r/h5rD6wFXPSvYTi435t00slBG/OliaW/ZLYqtwSioFCKup1A1WbcJqsPrNahEIggBhVUGX3RhW25vb5N6LnpL8F76Tlrws6T4lT845/FRpaytTsGJKqBYgrKoWDW49wmpwe8/KEfCrAGFVQWfdFlbrKmrloQuflsL31kp1v2IZPKVNfjn4MgUrpUSqBAirqZINXl3CavB6zooR8LsAYVVBh90UVpctXifTL5gmhZ9vkHV7lMrRkxvkoPIRClZJiVQKEFZTqRus2oTVYPWb1SIQBAHCqoIuuyWszp27Quac96zkra2XiiPL5Iwna2XHPIKqghanvARhNeXEgRmAsBqYVrNQBAIjQFhV0Go3hNVXX10iy37/nGRoz+msPKVMrnyiUQobLlGwOko4IUBYdUI5GGMQVoPRZ1aJQJAECKsKup3usPrU1EWy8Q8zjJVsGF4iN92dJQ0N5ylYGSWcEiCsOiXt/3EIq/7vMStEIGgChFUFHU9nWH3swY+kZfTrxipqRxXIn0eXS33TbxSsihJOChBWndT291iEVX/3l9UhEEQBwqqCrqcrrN5/+9uSc+cHxgrabs+WKy7ZU/u4ziEKVkQJpwUIq06L+3c8wqp/e8vKEAiqAGFVQefTEVbHj3pJih7Z8mEFBQ+3y7mnHsvD/hX0Ml0lCKvpkvffuIRV//WUFSEQdAHCqoId4HRYvfOiadJj2jfSnpkh/abUy6+GnCUtrTsqWAkl0iVAWE2XvP/GJaz6r6esCIGgCxBWFewAp8Lq2o2N8vjwZ6TkzRVSV5Yv+/23Uo7Y+0ppa++pYBWUSKcAYTWd+v4am7Dqr36yGgQQECGsKtgFToTVT7/dIK9c8Kz0+KRKNu/aTYb+Z7kM3uYWbfaZClZAiXQLEFbT3QH/jE9Y9U8vWQkCCGwRIKwq2AmpDqtvfLJWPjn3WSlcvlk2HdJdzp/8nZQW/U3BzCnhFgHCqls64f15EFa930NWgAACHQUIqwp2RCrD6rQ3v5U1w56V7Lpm2Xxid/nzv7+XppaxCmZNCTcJEFbd1A1vz4Ww6u3+MXsEENhagLCqYFekKqw+/tyX0jT8eWOGdb/PlxseqJHq+j8rmDEl3CZAWHVbR7w7H8Kqd3vHzBFAILoAYVXBzkhFWH3g0QWSfe1rxuxaR2bI1bcWSm3DpQpmSwk3ChBW3dgVb86JsOrNvjFrBBCILUBYVbA7VIfVu8a9L93+9o4xs7y/NshFVw6S+sYzFcyUEm4VIKy6tTPemxdh1Xs9Y8YIINC5AGFVwQ5RGVb/fsNs6fWvecasyu5fJ2f87ihpaPqlgllSws0ChFU3d8dbcyOseqtfzBYBBOILEFbjG8U9QkVY3RQKyb1/eEH6TPncGG/Qf1fKcb84Q3sz1U/jjs8B3hcgrHq/h25ZAWHVLZ1gHgggoEqAsKpAsqthdXF9s0y5YLr0eXWpNPXIkcOnfiH7HvBH7VOpBiuYHSW8IEBY9UKXvDFHwqo3+sQsEUAgcQHCauJWMY/sSlh9b1W1vHX+c1L20Wqp3yFfTp0yXwbs+DdpbStXMDNKeEWAsOqVTrl/noRV9/eIGSKAgD0Bwqo9r6hHJxtWn/+iUr76/XPSY+kGqT2gQK6YPEcySx+U9vYCBbOihJcECKte6pa750pYdXd/mB0CCNgXIKzaN9vqjGTC6hPvfS+btIf9521qlIaf58qoSZ9KXegRBbOhhBcFCKte7Jo750xYdWdfmBUCCCQvQFhN3i58pt2w+sCMxZL9+2eN81vPypRRj6yQTbXjFcyEEl4VIKx6tXPumzdh1X09YUYIINA1AcJq1/yMs+2E1TufXCg9rnzJOC9nRJOMuKNVquv+omAWlPCyAGHVy91z19wJq+7qB7NBAIGuCxBWu26YcFj9671zpM+Yt4wRS/6yXs69tlxq6q9UMANKeF2AsOr1Drpn/oRV9/SCmSCAgBoBwqoCx3hXVhtCIn+75S3Z5p45xmgD7/lWfnX+gVLXeK6C0SnhBwHCqh+66I41EFbd0QdmgQAC6gQIqwosOwurtVpQHXfly9JXewOV/rXPpAVy2ElnaJ9KdbKCkSnhFwHCql86mf51EFbT3wNmgAACagUIqwo8Y4XVNc2tMmH489JHe0NVa2GW9rD/ubLvYZdIY/NRCkalhJ8ECKt+6mZ610JYTa8/oyOAgHoBwqoC02hh9auKGpmmPey/1werpG6bfDllytuyw09ukOaWvRSMSAm/CRBW/dbR9K2HsJo+e0ZGAIHUCBBWFbhaw+q8r9bJG+c/K92/Wi/VexfL8P/OlpLe/6d9KtV2CkajhB8FCKt+7Gp61kRYTY87oyKAQOoECKsKbCPD6ptzVsrC30+TvKp62XRMd7lm8psSyn5Q2tq7KRiJEn4VIKz6tbPOr4uw6rw5IyKAQGoFCKsJ+F587V3y7tyFxpGHHbiHPHjH1R3OMsPqjJcXy8phz0morV02ndpD/vrvD2VjzcMJjMAhQRcgrAZ9B6hbP2FVnSWVEEDAHQKE1Th9uGX8E7JydWU4oOrBtX95mdw0clj4TD2sPv2fhbLh8i0P+998cbGMGb9CNteNdUeXmYXrBQirrm+RZyZIWPVMq5goAggkKEBYjQM19JxRMva64bLP7oOMIxd8tlhG3zZBZk66PXzmnbe+LXU3vWF8X/vnArnhhlYe9p/gBuSwLQKEVXaCKgHCqipJ6iCAgFsECKuddGJ1xXo59rSrZNbUcVLeu9Q40vqzG0dOlay7vzB+r+n/cuRPF/eR+sYz3dJf5uERAcKqRxrlgWkSVj3QJKaIAAK2BAirXQyrY0JjjArtj7bLzefpj6X6ta0GcDACCCCAAAIIIIBAbAHCahfD6vVlt8nez/SW0444Vqu0LXsNAQQQQAABBBBAQKEAYTUOZiL3rHb2casKe0UpHwtwG4CPm+vw0rgNwGFwhkMAgZQLEFbjECf6NICUd4oBfC1AWPV1ex1dHGHVUW4GQwABBwQIqwkgJ/qc1QRKcQgCUQUIq2wMVQKEVVWS1EEAAbcIEFYVdILbABQgBrwEYTXgG0Dh8gmrCjEphQACrhAgrCpoA2FVAWLASxBWA74BFC6fsKoQk1IIIOAKAcKqgjYQVhUgBrwEYTXgklEaaAAACAFJREFUG0Dh8gmrCjEphQACrhAgrCpoA2FVAWLASxBWA74BFC6fsKoQk1IIIOAKAcKqgjYQVhUgBrwEYTXgG0Dh8gmrCjEphQACrhAgrLqiDUwCAQQQQAABBBBAIJoAYZV9gQACCCCAAAIIIOBaAcKqa1vDxBBAAAEEEEAAAQQIq+wBBBBAAAEEEEAAAdcKEFaTbE28T7VKsiyn+VjAzp6ZMHmGjH/oqa00Fr050cdCLE2FwMzZc+S+x6bJzEm3qyhHDQQQQCDtAoTVJFpwy/gnZOXqSnnwjquNs/UQ0r+8TG4aOSyJapwSBAG7e0YPqx9+/GV4jwXBiDV2TWDBZ4vlnBFjjSIDB/QhrHaNk7MRQMBFAoTVJJox9JxRMva64bLP7oOMs/X/SIy+bQL/cUjCMiin2N0zhNWg7Az16+TKqnpTKiKAQHoFCKs2/VdXrJdjT7tKZk0dJ+W9S42zo/3MZlkO97FAMnvGehsAV8p8vEEUL42wqhiUcgggkHYBwqrNFiQTPGwOweE+E1CxZ/RbTfQv89YTnxGxHIUChFWFmJRCAAFXCBBWbbZBRfCwOSSHe1xAxZ4x70fkDVYe3wwOTJ+w6gAyQyCAgKMChNUkuO3ef5jEEJziM4Gu7hnCqs82RAqXQ1hNIS6lEUAgLQKE1STY7b6zO4khOMVnAvH2jPVlfj3cRj56SP/+4P1244kTPtsXqVgOYTUVqtREAIF0ChBWk9S388zMJIfgNJ8JdLZnrGE18lid4fSTjyGo+mw/qF5O5KOrzNojLzpVhp91vOqhqIcAAgg4KkBYdZSbwRBAAAEEEEAAAQTsCBBW7WhxLAIIIIAAAggggICjAoRVR7kZDAEEEEAAAQQQQMCOAGHVjhbHIoAAAggggAACCDgqQFh1lJvBEEAAAQQQQAABBOwIEFbtaHEsAggggAACCCCAgKMChFVHuRkMAQQQQAABBBBAwI4AYdWOFscigAACCCCAAAIIOCpAWHWUm8EQQAABBBBAAAEE7AgQVu1ocSwCCCCAAAIIIICAowKEVUe5GQwBBBBAAAEEEEDAjgBh1Y4WxyKAAAIIIIAAAgg4KkBYdZSbwRBAAAEEEEAAAQTsCBBW7WhxLAIIIIAAAggggICjAoRVR7kZDAEEEEAAAQQQQMCOAGHVjhbHIoAAAggggAACCDgqQFh1lJvBEEAAAQQQQAABBOwIEFbtaHEsAggggAACCCCAgKMChFVHuRkMAQQQQAABBBBAwI4AYdWOFsci4HKBW8Y/IStXV8qDd1wdnumCzxbLOSPGyqT7Rss+uw9y+QqYHgIIIIAAAh0FCKvsCAR8JBAtrPpoeSwFAQQQQCCAAoTVADadJftTYMLkGTL+oac6LO70k4+RC88+QY497SqZNXWclPculaHnjJJThh4h02a+Ld+tWGscf+eNl0p5n1LjCqz5ZR5vfq8H4SnTX4/5+/5UZVUIIIAAAukWIKymuwOMj4BCgWhXVldXrN8qrOoh1QyjM2fPkWtu/acMHNBHZk663ZjNxdfeZfzTvJ3AWtc8Z9GbExXOnlIIIIAAAghsLUBYZVcg4COBRMOqfmV1+FnHGyu3hln9Z/pVWv3Kqx5eo/2+fox+hXbEeafI0CEH+UiQpSCAAAIIuE2AsOq2jjAfBLog0JWwGvkGLP3K6X2PTTPCqvkGrWjT0m8fIKx2oWGcigACCCAQV4CwGpeIAxDwjkAqwyov+XtnHzBTBBBAwE8ChFU/dZO1BF4gFWHVvA2AR18FfnsBgAACCKRFgLCaFnYGRSA1AtHe+BTtDVbR7lmNdRuAPlPzSQCRV1f1+1r323Nnnt2amlZSFQEEEEDgBwHCKlsBAZ8J6O/kf3fuQmNVnT26yvoGq87CamRgjeTi1gCfbR6WgwACCLhQgLDqwqYwJQQQQAABBBBAAIEtAoRVdgICCCCAAAIIIICAawUIq65tDRNDAAEEEEAAAQQQIKyyBxBAAAEEEEAAAQRcK0BYdW1rmBgCCCCAAAIIIIAAYZU9gAACCCCAAAIIIOBaAcKqa1vDxBBAAAEEEEAAAQQIq+wBBBBAAAEEEEAAAdcKEFZd2xomhgACCCCAAAIIIEBYZQ8ggAACCCCAAAIIuFaAsOra1jAxBBBAAAEEEEAAAcIqewABBBBAAAEEEEDAtQKEVde2hokhgAACCCCAAAIIEFbZAwgggAACCCCAAAKuFSCsurY1TAwBBBBAAAEEEECAsMoeQAABBBBAAAEEEHCtAGHVta1hYggggAACCCCAAAKEVfYAAggggAACCCCAgGsFCKuubQ0TQwABBBBAAAEEECCssgcQQAABBBBAAAEEXCtAWHVta5gYAggggAACCCCAAGGVPYAAAggggAACCCDgWgHCqmtbw8QQQAABBBBAAAEECKvsAQQQQAABBBBAAAHXChBWXdsaJoYAAggggAACCCBAWGUPIIAAAggggAACCLhWgLDq2tYwMQQQQAABBBBAAAHCKnsAAQQQQAABBBBAwLUChFXXtoaJIYAAAggggAACCBBW2QMIIIAAAggggAACrhUgrLq2NUwMAQQQQAABBBBAgLDKHkAAAQQQQAABBBBwrQBh1bWtYWIIIIAAAggggAAChFX2AAIIIIAAAggggIBrBQirrm0NE0MAAQQQQAABBBAgrLIHEEAAAQQQQAABBFwrQFh1bWuYGAIIIIAAAggggABhlT2AAAIIIIAAAggg4FqB/werMiTl7h53YQAAAABJRU5ErkJggg==", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "PlotlyHelper.combine_plots([p_under, p_exact, p_over],\n", " title=\"P\")" ] }, { "cell_type": "code", "execution_count": null, "id": "bb0c74b1-8c3f-4bfd-8b97-23ca6cbc4ed7", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "2e52dba2-e39f-4af7-9051-b914a941fea7", "metadata": {}, "source": [ "#### The Reaction Rate over time" ] }, { "cell_type": "code", "execution_count": 51, "id": "e64d60e2-1524-496d-b818-89398dc3eb63", "metadata": {}, "outputs": [], "source": [ "r1_under = PlotlyHelper.plot_pandas(df=rates_underest, \n", " title=\"underestimated k1_forward\",\n", " x_var=\"SYSTEM TIME\", fields=\"rxn1_rate\", \n", " x_label=\"time\", y_label=\"dP/dt\", colors = \"yellow\")" ] }, { "cell_type": "code", "execution_count": 52, "id": "80750429-e2d5-4386-bdf0-1d530ca7fd90", "metadata": {}, "outputs": [], "source": [ "r1_exact = PlotlyHelper.plot_pandas(df=rates_exact, \n", " title=\"exact k1_forward\",\n", " x_var=\"SYSTEM TIME\", fields=\"rxn1_rate\", \n", " x_label=\"time\", y_label=\"dP/dt\", colors = \"blue\")" ] }, { "cell_type": "code", "execution_count": 53, "id": "de6dbb69-6f8d-4048-ae30-75acd47c55bc", "metadata": {}, "outputs": [], "source": [ "r1_over = PlotlyHelper.plot_pandas(df=rates_overest, \n", " title=\"overestimated k1_forward\",\n", " x_var=\"SYSTEM TIME\", fields=\"rxn1_rate\", \n", " x_label=\"time\", y_label=\"dP/dt\", colors = \"purple\")" ] }, { "cell_type": "code", "execution_count": 54, "id": "a68a7586-4c18-4fbc-8a78-eabf7ca74cf9", "metadata": {}, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "hovertemplate": "underestimated k1_forward
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"title": { "text": "dP/dt" }, "type": "linear" } } }, "image/png": 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", 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