{
"cells": [
{
"cell_type": "markdown",
"id": "49bcb5b0-f19d-4b96-a5f1-e0ae30f66d8f",
"metadata": {},
"source": [
"## Enzyme Kinetics in a NON Michaelis-Menten modality\n",
"#### 3 Coupled Reactions: `S <-> P` , `E + S <-> ES`, and `ES <-> E + P` \n",
"A direct reaction and the same reaction, catalyzed by an enzyme `E` and showing the intermediate state. \n",
"Re-run from same initial concentrations of S (\"Substrate\") and P (\"Product\"), for various concentations of the enzyme `E`: from zero to hugely abundant \n",
"### We'll REJECT the customary Michaelis-Menten assumptions that `[E] << [S]` and that the rate constants satisfy `k1_reverse >> k2_forward` ! \n",
"#### We'll **repeat runs with increasingly higher initial concentration of Enzyme**, and explore exotic scenarios with lavish amount of enzyme, leading to diminishing (though fast-produced!) products, and a buildup of the (not-so-transient!) `ES` intermediate"
]
},
{
"cell_type": "markdown",
"id": "24d82e5c-e95c-4d56-bffc-23181233cde1",
"metadata": {},
"source": [
"### TAGS : \"uniform compartment\", \"chemistry\", \"enzymes\""
]
},
{
"cell_type": "code",
"execution_count": 1,
"id": "55c8d285-416f-489e-8207-db828c8a7d0f",
"metadata": {},
"outputs": [],
"source": [
"LAST_REVISED = \"Dec. 15, 2024\"\n",
"LIFE123_VERSION = \"1.0-rc.1\" # Library version this experiment is based on"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "f88d9fb7-7ba6-4adc-9af3-379381258243",
"metadata": {},
"outputs": [],
"source": [
"#import set_path # Using MyBinder? Uncomment this before running the next cell!"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "47166cb0-c790-4c14-98b5-2db9d9c39e88",
"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 experiments.get_notebook_info import get_notebook_basename\n",
"\n",
"from life123 import check_version, ChemData, Reactions, UniformCompartment, CollectionTabular, GraphicLog\n",
"\n",
"import pandas as pd"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "07f02ce7-e296-48e9-8741-3a8ac97cf6c0",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"OK\n"
]
}
],
"source": [
"check_version(LIFE123_VERSION)"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "0b0c5dc6-0b99-413f-84ba-791ee67c0ddc",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": 5,
"id": "b0ad0c93-02a5-43f4-8797-4b9f7ba50432",
"metadata": {
"tags": []
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"-> Output will be LOGGED into the file 'enzyme_4.log.htm'\n"
]
}
],
"source": [
"# Initialize the HTML logging\n",
"log_file = get_notebook_basename() + \".log.htm\" # Use the notebook base filename for the log file\n",
"\n",
"# Set up the use of some specified graphic (Vue) components\n",
"GraphicLog.config(filename=log_file,\n",
" components=[\"vue_cytoscape_2\"],\n",
" extra_js=\"https://cdnjs.cloudflare.com/ajax/libs/cytoscape/3.21.2/cytoscape.umd.js\")"
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "f864cf71-c8fd-411b-8b9b-e274e7935ef9",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"
\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" name | \n",
" label | \n",
" plot_color | \n",
"
\n",
" \n",
" \n",
" \n",
" | 0 | \n",
" S | \n",
" S | \n",
" cyan | \n",
"
\n",
" \n",
" | 1 | \n",
" E | \n",
" E | \n",
" violet | \n",
"
\n",
" \n",
" | 2 | \n",
" ES | \n",
" ES | \n",
" red | \n",
"
\n",
" \n",
" | 3 | \n",
" P | \n",
" P | \n",
" green | \n",
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\n",
" \n",
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\n",
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"
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"text/plain": [
" name label plot_color\n",
"0 S S cyan\n",
"1 E E violet\n",
"2 ES ES red\n",
"3 P P green"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Initialize the system\n",
"chem_data = ChemData(names=[\"S\",\"E\",\"ES\",\"P\"], plot_colors=[\"cyan\",\"violet\",\"red\",\"green\"])\n",
"\n",
"chem_data.all_chemicals()"
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "33ced2c9-559d-4fcf-8e39-6ec4fd310f84",
"metadata": {},
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"name": "stdout",
"output_type": "stream",
"text": [
"Number of reactions: 3 (at temp. 25 C)\n",
"0: S <-> P (kF = 1 / kR = 0.2 / delta_G = -3,989.7 / K = 5) | 1st order in all reactants & products\n",
"1: E + S <-> ES (kF = 100 / kR = 224.07 / delta_G = 2,000 / K = 0.44629) | 1st order in all reactants & products\n",
"2: ES <-> E + P (kF = 200 / kR = 17.851 / delta_G = -5,989.7 / K = 11.204) | 1st order in all reactants & products\n",
"Set of chemicals involved in the above reactions: {\"ES\" (red), \"E\" (violet), \"S\" (cyan), \"P\" (green)}\n",
"[GRAPHIC ELEMENT SENT TO LOG FILE `enzyme_4.log.htm`]\n"
]
}
],
"source": [
"rxns = Reactions(chem_data=chem_data)\n",
"\n",
"\n",
"# Reaction S <-> P , with 1st-order kinetics, favorable thermodynamics in the forward direction, \n",
"# and a forward rate that is much slower than it would be with the enzyme - as seen in the next reaction, below\n",
"rxns.add_reaction(reactants=\"S\", products=\"P\",\n",
" forward_rate=1., delta_G=-3989.73)\n",
"\n",
" \n",
"# Reaction E + S <-> ES , with 1st-order kinetics, and a forward rate that is much faster than it was without the enzyme\n",
"# Thermodynamically, the forward direction is at a disadvantage (higher energy state) because of the activation barrier in forming the transient state ES\n",
"rxns.add_reaction(reactants=[\"E\", \"S\"], products=\"ES\",\n",
" forward_rate=100., delta_G=2000) \n",
" \n",
"# Reaction ES <-> E + P , with 1st-order kinetics, and a forward rate that is much faster than it was without the enzyme\n",
"# Thermodynamically, the total energy change of this reaction and the previous one adds up to the same value as the reaction without the enzyme (-3989.73)\n",
"rxns.add_reaction(reactants=\"ES\", products=[\"E\", \"P\"],\n",
" forward_rate=200., delta_G=-5989.73)\n",
"\n",
"rxns.describe_reactions()\n",
"\n",
"# Send the plot of the reaction network to the HTML log file\n",
"rxns.plot_reaction_network(\"vue_cytoscape_2\")"
]
},
{
"cell_type": "markdown",
"id": "5f3f488b-4cf1-4123-8dfd-9dfc2b9c64b7",
"metadata": {},
"source": [
"Note that `E` is not labeled as an \"enzyme\" because it doesn't appear as a catalyst in any of the registered reactions; it only becomes an enzyme in the context of the _compound_ reaction from (2) and (3)"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "f18a1e67-429d-4606-a8d2-0fd07f864711",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"id": "7da44d78-c93e-44d7-875b-92d99d40061a",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "markdown",
"id": "0e771dda-1c0f-4fc0-ab21-049740643897",
"metadata": {},
"source": [
"# 1. Set the initial concentrations of all the chemicals - starting with no enzyme"
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "5563e467-a637-44fa-9ba1-d35ddd82c887",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"SYSTEM STATE at Time t = 0:\n",
"4 species:\n",
" Species 0 (S). Conc: 20.0\n",
" Species 1 (E). Conc: 0.0\n",
" Species 2 (ES). Conc: 0.0\n",
" Species 3 (P). Conc: 0.0\n",
"Set of chemicals involved in reactions: {'ES', 'E', 'S', 'P'}\n"
]
}
],
"source": [
"uc = UniformCompartment(reactions=rxns, preset=\"mid\")\n",
"uc.set_conc(conc={\"S\": 20.}) # Initially, no enzyme `E`\n",
"uc.describe_state()"
]
},
{
"cell_type": "markdown",
"id": "651941bb-7098-4065-a598-e50c0b641ab3",
"metadata": {
"tags": []
},
"source": [
"### Advance the reactions (for now without enzyme) to equilibrium"
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "76f24d9a-a788-41d8-90a4-db87386f91aa",
"metadata": {},
"outputs": [
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"name": "stdout",
"output_type": "stream",
"text": [
"27 total variable step(s) taken in 0.00 min\n",
"Norm usage: {'norm_A': 14, 'norm_B': 15, 'norm_C': 14, 'norm_D': 14}\n",
"System Time is now: 4.1508\n"
]
}
],
"source": [
"#uc.set_diagnostics() # To save diagnostic information about the call to single_compartment_react()\n",
"\n",
"# Perform the reactions\n",
"uc.single_compartment_react(duration=4.0,\n",
" initial_step=0.1)"
]
},
{
"cell_type": "code",
"execution_count": 10,
"id": "3cfa0f3a-3d78-436d-b9d8-dbf4573a7f73",
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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"uc.plot_history(show_intervals=True, title_prefix=\"With ZERO enzyme\")"
]
},
{
"cell_type": "markdown",
"id": "9a793ebf-f544-43ad-a1d3-059f74f3c02b",
"metadata": {},
"source": [
"### The reactions, lacking enzyme, are proceeding slowly towards equilibrium, just like the reaction that was discussed in part 1 of the experiment \"enzyme_1\""
]
},
{
"cell_type": "code",
"execution_count": 11,
"id": "d684e2c3-c717-4c95-8852-62729914e48f",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"0: S <-> P\n",
"Final concentrations: [S] = 3.37 ; [P] = 16.63\n",
"1. Ratio of reactant/product concentrations, adjusted for reaction orders: 4.93491\n",
" Formula used: [P] / [S]\n",
"2. Ratio of forward/reverse reaction rates: 5.00001\n",
"Discrepancy between the two values: 1.302 %\n",
"Reaction IS in equilibrium (within 2% tolerance)\n",
"\n",
"1: E + S <-> ES\n",
"Final concentrations: [E] = 0 ; [S] = 3.37 ; [ES] = 0\n",
"Reaction IS in equilibrium because it can't proceed in either direction due to zero concentrations in both some reactants and products!\n",
"\n",
"2: ES <-> E + P\n",
"Final concentrations: [ES] = 0 ; [E] = 0 ; [P] = 16.63\n",
"Reaction IS in equilibrium because it can't proceed in either direction due to zero concentrations in both some reactants and products!\n",
"\n"
]
},
{
"data": {
"text/plain": [
"True"
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Verify that the reactions have reached equilibrium\n",
"uc.is_in_equilibrium(tolerance=2)"
]
},
{
"cell_type": "code",
"execution_count": 12,
"id": "4677fcaa-e90b-4975-a567-cb55b66f91f2",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(0.7322948238817497, 10.0)"
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Locate the intersection of the curves for [S] and [P]:\n",
"uc.curve_intersect(\"S\", \"P\", t_start=0, t_end=1.0)"
]
},
{
"cell_type": "code",
"execution_count": 13,
"id": "0a43f0bf-7718-4e60-8756-989ff3f7f680",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" SYSTEM TIME | \n",
" E | \n",
" ES | \n",
" P | \n",
"
\n",
" \n",
" \n",
" \n",
" | 27 | \n",
" 4.150766 | \n",
" 0.0 | \n",
" 0.0 | \n",
" 16.630111 | \n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" SYSTEM TIME E ES P\n",
"27 4.150766 0.0 0.0 16.630111"
]
},
"execution_count": 13,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"uc.get_history(columns=['SYSTEM TIME', 'E', 'ES', 'P'], tail=1) # Last point in the simulation"
]
},
{
"cell_type": "code",
"execution_count": 14,
"id": "d4e378a6-550d-44b1-9d38-110844da1397",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"16.63011072773748"
]
},
"execution_count": 14,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"P_equil = uc.get_chem_conc(\"P\")\n",
"P_equil"
]
},
{
"cell_type": "code",
"execution_count": 15,
"id": "ddc9d6bb-ea70-4471-bc1f-b0f1c48fd84c",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"11.641077509416236"
]
},
"execution_count": 15,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"P_70_threshold = P_equil * 0.70\n",
"P_70_threshold"
]
},
{
"cell_type": "code",
"execution_count": 16,
"id": "52f5a61b-eaab-46e7-ba0a-01c0b58ce9d1",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.9536647543782931"
]
},
"execution_count": 16,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"uc.reach_threshold(chem=\"P\", threshold=P_70_threshold)"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "cf52d120-927e-44bb-893d-1673e9fd8bd6",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
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"id": "978149dc-c503-4ca8-b490-83a2e97b40a8",
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},
{
"cell_type": "markdown",
"id": "27401e5d-8f3e-4c27-8438-129d3e3408a2",
"metadata": {},
"source": [
"# 2. Re-start all the reactions from the same initial concentrations - except for now having a tiny amount of enzyme (two orders of magnitude less than the starting [S])"
]
},
{
"cell_type": "code",
"execution_count": 17,
"id": "dd68db69-c705-4eed-9075-589a1359876f",
"metadata": {},
"outputs": [],
"source": [
"E_init = 0.2 # A tiny bit of enzyme `E`: 1/100 of the initial [S]"
]
},
{
"cell_type": "code",
"execution_count": 18,
"id": "373ce459-3b57-4ab2-a136-4eb8bedcdd91",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"SYSTEM STATE at Time t = 0:\n",
"4 species:\n",
" Species 0 (S). Conc: 20.0\n",
" Species 1 (E). Conc: 0.2\n",
" Species 2 (ES). Conc: 0.0\n",
" Species 3 (P). Conc: 0.0\n",
"Set of chemicals involved in reactions: {'ES', 'E', 'S', 'P'}\n"
]
}
],
"source": [
"uc = UniformCompartment(reactions=rxns, preset=\"slower\") # A brand-new simulation, with the same chemicals and reactions as before\n",
"\n",
"uc.set_conc(conc={\"S\": 20., \"E\": E_init})\n",
"uc.describe_state()"
]
},
{
"cell_type": "code",
"execution_count": 19,
"id": "bb87b0c2-6e5d-4e9a-86a1-9eb76cfe2d3a",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"1476 total variable step(s) taken in 0.05 min\n",
"Number of step re-do's because of elective soft aborts: 1\n",
"Norm usage: {'norm_A': 1458, 'norm_B': 1472, 'norm_C': 1458, 'norm_D': 1458}\n",
"System Time is now: 1.3008\n"
]
}
],
"source": [
"# Perform the reactions (The duration of the run was manually adjusted for optimal visibility)\n",
"uc.single_compartment_react(duration=1.3,\n",
" initial_step=0.00005)"
]
},
{
"cell_type": "code",
"execution_count": 20,
"id": "1c999a21-c1ab-4210-a8d8-430cc215d882",
"metadata": {},
"outputs": [
{
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"text/plain": [
"True"
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},
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"metadata": {},
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}
],
"source": [
"# Verify that the reactions have reached equilibrium\n",
"uc.is_in_equilibrium(verbose=False)"
]
},
{
"cell_type": "code",
"execution_count": 21,
"id": "6991314e-58bf-473a-a0fa-c10f18369246",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(0.24856557905040474, 9.926581378605173)"
]
},
"execution_count": 21,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Locate the intersection of the curves for [S] and [P]:\n",
"uc.curve_intersect(\"S\", \"P\", t_start=0, t_end=1.0)"
]
},
{
"cell_type": "code",
"execution_count": 22,
"id": "ceaf1c9e-9178-4511-af28-0b6918392300",
"metadata": {},
"outputs": [
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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Early part of the reaction\n",
"uc.plot_history(title_prefix=f\"Early times when E0 = {E_init}\", range_x=[0, 0.4])"
]
},
{
"cell_type": "code",
"execution_count": 23,
"id": "de531345-b12f-4c43-9954-bf46db6f1141",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(0.24856557905040474, 9.926581378605173)"
]
},
"execution_count": 23,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Locate the intersection of the curves for [S] and [P]:\n",
"uc.curve_intersect(\"S\", \"P\", t_start=0, t_end=0.4)"
]
},
{
"cell_type": "markdown",
"id": "41a77229-ad02-4e1e-8c3e-dfe2e6e0a302",
"metadata": {},
"source": [
"### Now, let's investigate E and ES in the very early times"
]
},
{
"cell_type": "markdown",
"id": "738f8578-8cc9-4ed1-98f1-69291581ed24",
"metadata": {},
"source": [
"## Notice how even a tiny amount of enzyme (1/100 of the initial [S]) makes a very pronounced difference!"
]
},
{
"cell_type": "code",
"execution_count": 24,
"id": "a5ea2f9c",
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.plotly.v1+json": {
"config": {
"plotlyServerURL": "https://plot.ly"
},
"data": [
{
"hovertemplate": "Chemical=E
SYSTEM TIME=%{x}
Concentration=%{y}",
"legendgroup": "E",
"line": {
"color": "violet",
"dash": "solid"
},
"marker": {
"symbol": "circle"
},
"mode": "lines",
"name": "E",
"showlegend": true,
"type": "scattergl",
"x": [
0,
5e-05,
5.25e-05,
5.3750000000000005e-05,
5.50125e-05,
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5.88762562625e-05,
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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# The very early part of the reaction\n",
"uc.plot_history(chemicals=['E', 'ES', 'P'],\n",
" title_prefix=f\"Detail when E0 = {E_init}\", range_x=[0, 0.002], range_y=[0, 0.2])"
]
},
{
"cell_type": "markdown",
"id": "1f1fdafa-f516-4490-99c1-1649a0b4d783",
"metadata": {},
"source": [
"### Notice how, with this small initial concentration of [E], the timescale of [E] and [ES] is vastly faster than that of [P] and [S]"
]
},
{
"cell_type": "code",
"execution_count": 25,
"id": "de42446c",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"plot_pandas() NOTICE: Excessive number of vertical lines (1477) - only showing 1 every 10 lines\n"
]
},
{
"data": {
"application/vnd.plotly.v1+json": {
"config": {
"plotlyServerURL": "https://plot.ly"
},
"data": [
{
"hovertemplate": "Chemical=E
SYSTEM TIME=%{x}
Concentration=%{y}",
"legendgroup": "E",
"line": {
"color": "violet",
"dash": "solid"
},
"marker": {
"symbol": "circle"
},
"mode": "lines",
"name": "E",
"showlegend": true,
"type": "scattergl",
"x": [
0,
5e-05,
5.25e-05,
5.3750000000000005e-05,
5.50125e-05,
5.6287625e-05,
5.757550125e-05,
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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# The full reaction of E and ES\n",
"uc.plot_history(chemicals=['E', 'ES'], show_intervals=True, \n",
" title_prefix=f\"E and ES when E0 = {E_init}\")"
]
},
{
"cell_type": "markdown",
"id": "a63d5742-334a-40c5-823e-27bc37cfb27d",
"metadata": {},
"source": [
"Notice how at every onset of instability in [E] or [ES], the adaptive time steps shrink down"
]
},
{
"cell_type": "code",
"execution_count": 26,
"id": "954dccf3-30c0-4d82-a1c0-8b2860ad2d17",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" SYSTEM TIME | \n",
" E | \n",
" ES | \n",
" P | \n",
"
\n",
" \n",
" \n",
" \n",
" | 1476 | \n",
" 1.30085 | \n",
" 0.080546 | \n",
" 0.119454 | \n",
" 16.544949 | \n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" SYSTEM TIME E ES P\n",
"1476 1.30085 0.080546 0.119454 16.544949"
]
},
"execution_count": 26,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"uc.get_history(columns=['SYSTEM TIME', 'E', 'ES', 'P'], tail=1) # Last point in the simulation"
]
},
{
"cell_type": "markdown",
"id": "71263cd2-4baf-44a3-b133-d7dcc1e0af94",
"metadata": {},
"source": [
"Interestingly, most of the inital [E] of 0.2 is now, at equilibrium, stored as [ES]=0.119; the energy of the \"activation barrier\" from E + S to ES might be unrealistically low (2000 Joules). Zooming in on the very earl part of the plot:"
]
},
{
"cell_type": "code",
"execution_count": 27,
"id": "ee6e7870-8dad-4ff4-997d-286db0d3a8d6",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"16.54494887428722"
]
},
"execution_count": 27,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"P_equil = uc.get_chem_conc(\"P\")\n",
"P_equil"
]
},
{
"cell_type": "code",
"execution_count": 28,
"id": "b6e26868-1b81-49c9-af7c-836b881121c1",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"11.581464212001052"
]
},
"execution_count": 28,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"P_70_threshold = P_equil * 0.70\n",
"P_70_threshold"
]
},
{
"cell_type": "code",
"execution_count": 29,
"id": "ac6a3e1e-3fa1-4bfd-8524-11116731c5cd",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.31446597160581014"
]
},
"execution_count": 29,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"uc.reach_threshold(chem=\"P\", threshold=P_70_threshold)"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "e80645d6-eb5b-4c78-8b46-ae126d2cb2cf",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"id": "6201afdd-cbdf-47f0-9289-ea290386c660",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "markdown",
"id": "802b910e-0fa0-463b-a220-873c5882a33f",
"metadata": {
"tags": []
},
"source": [
"# 3. Keep increasing the initial [E]"
]
},
{
"cell_type": "code",
"execution_count": 30,
"id": "31bbf923-046d-4da3-9c33-c8f57ef3814c",
"metadata": {},
"outputs": [],
"source": [
"E_init = 1.0"
]
},
{
"cell_type": "code",
"execution_count": 31,
"id": "631bd026-58da-4295-9f05-d132577cb0cc",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"SYSTEM STATE at Time t = 0:\n",
"4 species:\n",
" Species 0 (S). Conc: 20.0\n",
" Species 1 (E). Conc: 1.0\n",
" Species 2 (ES). Conc: 0.0\n",
" Species 3 (P). Conc: 0.0\n",
"Set of chemicals involved in reactions: {'ES', 'E', 'S', 'P'}\n"
]
}
],
"source": [
"uc = UniformCompartment(reactions=rxns, preset=\"slower\") # A brand-new simulation, with the same chemicals and reactions as before\n",
"\n",
"uc.set_conc(conc={\"S\": 20., \"E\": E_init}) \n",
"uc.describe_state()"
]
},
{
"cell_type": "code",
"execution_count": 32,
"id": "ba3e8cca-873f-40dc-97b5-38374fcc826c",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"866 total variable step(s) taken in 0.03 min\n",
"Number of step re-do's because of elective soft aborts: 1\n",
"Norm usage: {'norm_A': 844, 'norm_B': 849, 'norm_C': 844, 'norm_D': 844}\n",
"System Time is now: 0.40016\n"
]
}
],
"source": [
"# Perform the reactions (The duration of the run was manually adjusted for optimal visibility)\n",
"uc.single_compartment_react(duration=0.4, \n",
" initial_step=0.00005)"
]
},
{
"cell_type": "code",
"execution_count": 33,
"id": "c2b19731-38b2-4d09-bca2-3b666c633eee",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"True"
]
},
"execution_count": 33,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Verify that the reactions have reached equilibrium\n",
"uc.is_in_equilibrium(verbose=False)"
]
},
{
"cell_type": "code",
"execution_count": 34,
"id": "85807dc4",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"plot_pandas() NOTICE: Excessive number of vertical lines (867) - only showing 1 every 6 lines\n"
]
},
{
"data": {
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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"uc.plot_history(show_intervals=True, \n",
" title_prefix=f\"E0 = {E_init}\")"
]
},
{
"cell_type": "code",
"execution_count": 35,
"id": "93a7b3b5-ffff-4417-b768-bf9886e9ef7e",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(0.06628340509848926, 9.635470546269993)"
]
},
"execution_count": 35,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Locate the intersection of the curves for [S] and [P]:\n",
"uc.curve_intersect(\"S\", \"P\", t_start=0, t_end=0.4)"
]
},
{
"cell_type": "markdown",
"id": "46e10d97-2c62-4e6d-9429-cc769a47e596",
"metadata": {},
"source": [
"The timescale of [S] and [P] continues to become faster with a higher initial [E]"
]
},
{
"cell_type": "code",
"execution_count": 36,
"id": "fb00b2fc-2bc2-433f-b907-019e786f68a1",
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.plotly.v1+json": {
"config": {
"plotlyServerURL": "https://plot.ly"
},
"data": [
{
"hovertemplate": "Chemical=E
SYSTEM TIME=%{x}
Concentration=%{y}",
"legendgroup": "E",
"line": {
"color": "violet",
"dash": "solid"
},
"marker": {
"symbol": "circle"
},
"mode": "lines",
"name": "E",
"showlegend": true,
"type": "scattergl",
"x": [
0,
5e-05,
5.25e-05,
5.3750000000000005e-05,
5.500000000000001e-05,
5.625000000000001e-05,
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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# The very early part of the reactions\n",
"uc.plot_history(chemicals=['E', 'ES', 'P'], \n",
" title_prefix=f\"Detail when E0 = {E_init}\", range_x=[0, 0.002], range_y=[0, 1.])"
]
},
{
"cell_type": "code",
"execution_count": 37,
"id": "bd0d0518-34f9-4fb2-ace3-c395768d6758",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"plot_pandas() NOTICE: Excessive number of vertical lines (867) - only showing 1 every 6 lines\n"
]
},
{
"data": {
"application/vnd.plotly.v1+json": {
"config": {
"plotlyServerURL": "https://plot.ly"
},
"data": [
{
"hovertemplate": "Chemical=E
SYSTEM TIME=%{x}
Concentration=%{y}",
"legendgroup": "E",
"line": {
"color": "violet",
"dash": "solid"
},
"marker": {
"symbol": "circle"
},
"mode": "lines",
"name": "E",
"showlegend": true,
"type": "scattergl",
"x": [
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5.25e-05,
5.3750000000000005e-05,
5.500000000000001e-05,
5.625000000000001e-05,
5.7500000000000015e-05,
5.875000000000002e-05,
6.000000000000002e-05,
6.125000000000003e-05,
6.250000000000003e-05,
6.375000000000003e-05,
6.500000000000003e-05,
6.625000000000004e-05,
6.750000000000004e-05,
6.875000000000004e-05,
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7.250000000000005e-05,
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8.410708820351007e-05,
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8.960312876649627e-05,
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3vtM9arwfvD4DZK6FGegfHYzzXCoBav64Y26f1fJzvU+sPnoZn6tu2pKq/4xlupnv7eYMq2ezVb/Kzv0yfeM0RozPTNlxp4te8/zu5l3LjaB182w33sepntvG52qqZ1WqVSOdTQzgekEg2wlkvaC1ejFO1Sl2D2E3X+t4Ehwx7LRkxEc3ZdotxTGL31QvRMb6U6WzWnZpZpPKQmu0+rnhI7PcyO4F1pzXblmQ1QuRzNIuuzTmpbF212Al0Ny8jDtNGFZLdN2UL8vVzZi1K1NmfNkJWtl2+l0W5iRMnQStlRXark2yAbD0sWss28/YtepLWb7pHAeplp67GeN296bdy6n597Jzq9uxwf3/5tvbtQ92qeqwa795XDi1U1++7ecZkGos69eiC1qrj3Zmtnblmdto9TzRyzIG63Fzr8iKk1QWWvMHOrv5yzw2nFYgyPhqmud+mb5xc//KjjvZPkz1LHMjaO1WpZk/2FgxNDNz+6xS5RLj9B6A8yAAAu4JQNC2MEsl2KyWxDl9ReZircpMNeHyklR9ck/1Is8PCz54eZ3RMuHFghWGoHV6OXd6AZPhYBa0qcrUbwuZevUvu+kStFbLcrm9xi/Msi/7Mtenjy83L0K6NdLL0iw3Swv5us3j3q+gNU6JboJCOd1/dltScF+ZOZmXIept0u9XmbGbSlSY82fiODDOWVaPKdkxznnt7k3Z3zv1rT632j1OjUuV7aJmexE4eh6ZcWG8r/w8A2SuxY2gTfUx09zHxjGhXzvz5HS69ZSvc+/+T9uskrIbKyoFbaoxlerjku5CYRxr+piS6Rs387jTPaaPO7s+lJ2n7O5Rc/2yH6tl5jOdmdtnFQSte9GAHCCQqQQ6jKB1u+TYnN5KfOovDVa+T8bgJrIPlVSi2Ty5W/mBGAeRcSmsnU+OzBYlQQtaGUtuqminZou77EMvVZk6NyufOfONqQu+sAWt3hbzkmY/FmA3XGXHrM7HyhdU5gOK1fW4aWeQgjbVi7l5HKSq14qFMb8+XxjvS6MVwnz9MmPXjaB1wzdd4yCTBK2buVVG1Opp3HzkTPVCoD+bUr3Im+8rP88Aq3nRasmwjIXWKfCXsVzjMnS+Hj54n1ujiOXyLv7G2DYB3jJR0Kay5Jrb62bud+ob2fvXbnwYx6E+7uz6UJWgdfPc5utx86yCoM1UaYJ2gYB7AlkvaN34izIe2QeAm6/SsmW6EbROPmepulp/AMjsLxu0oJURDTJfXJ0s1X4stDJCLGxBG0b5brjKjlmrcWZ8OXL6aJJJFlp9bMrcF36teFyX7McY2RdFJwuLjBCSdW2Q+TDldhyEveTYrYXWaey6eZzq41y3zjtZaGVWO6Qqw8mtw80zwHyd5mtx8yx0Y6E1WqR/8usFdMPVl2jLtY3LjC+88kdknq+zXdC6mfud+sbNPG61esRqjGeaoDWvXHBzXzrNURC0bmgiLQhkNoGsF7SMV19KmEqo8MTFX39lHwCpXuhkfbJS+QnxcmHjIfuiaR5O/PAf3L9Pm6AzOhO7ZZHGMsIQtHYPbKOPmayPn6woSPXSxYzGjSrXgkI5LYfW2bh56TD7VOtlpHohtXtpsBKAbsqX5ermPnjiuVfabYEjazlV4UNrd0+4+fiV6vr8Xrsb/2/j2M3mceD0gc7NtckKV7t7WfYDgt2jW3+WmM8b771U/tROYlRm/jDW5ecZIHMtbgStW/9Lvg49wr/ZzcLq927aYtd/Vv3vZr63KjfVqgjznCw798v0jew87uadwG7OdnPfpMuH1tgXfM+5fVbJLlPP7Nd4tA4EQIAJdAhByxeiLzOx23pHt8q4eQDYRS3l0PVulpc5RebT28TXYVyaqD9YzEKdH5685RALdP1BaqzDzYt7GIJWvx6rrQr0/tFffKyiQltFPpYJHGFVpjmoiBUv5s7MeFsgPSiImxccLy8Aeh6r/ub2GF/u3JQvy1X2PrCKjKnfb/y33yjHXvs/1fRt18e6L7yMZc5JtOrzjbks7is9krfeDuM1GpfPWY1zq7T6GMnmceD0Muzm2vwKWh47MnNrKkHL270Z+8+qr+1elu3uKf2+0iOy68zM1lz9A67Z19LLM8CKg9W1uLGKclqr6PBWKyP0a7Hb1scqj5u2WPVhGILWbk7U5wnj9cnO/TJ9IzuP6884tnjbbS+mjzur9wejpVPGvStoQSvz3Hb7rJJZhQKZAAIgkD0EOoygZeR2vhbGFw83DwCjUNa7lF8uWfh48aHVyzC3kx8woyrO0PYpNb8gy1yTVdAZmSVt3J4wBK1+nbqA0P9vt8+i8XZJtQ8tW1jNDM1i3/hxQE9rTmPnT2RsnxtBax4n+suc7Eu83k5+UdD3RjaPA6NfkFP5VgzMXN3cB1blySzbNQoHKxEp004nYWk31Tr5njlN0TL12vliGq/V3A7jXp5exm62jgP9HjHOm+Y+kL22IASt7PPCbpxYBXNzmmec9qHluqw+lOr7f+ptsdrH2M8zQOZa3IpIc5l2UX7NMRP0a7QT81bPLD2PrLUtLEFr977AItJOsDvN/U5942YeN3Iy7uduHnf8f/Mzksecvu+zCkFr1Sar9wo3zyqZOd7pOYHzIAACmUOgQwnazMHqviXw5XDPDDlAAASyh4Bs8KvsuaJwW+r0QSzc2lE6CHRcAm5WsXVcCrgyEOhYBCBo09yf5qWtXD1eXNLcCagOBEBACQHzclkljciSSvFcyJKOQjOzjgDmoazrMjQYBBwJQNA6Igo2gd1yV5nIu8G2BKWBAAiAQHoJ2G1llN5WZEdtELTZ0U9oZXYR0F2h8M6VXf2G1oKAEwEIWidCOA8CIAACIAACIAACIAACIAACIJCRBCBoM7Jb0CgQAAEQAAEQAAEQAAEQAAEQAAEnAhC0ToRwHgRAAARAAARAAARAAARAAARAICMJQNBmZLegUSAAAiAAAiAAAiAAAiAAAiAAAk4EIGidCOE8CIAACIAACIAACIAACIAACIBARhKAoM3IbkGjQAAEQAAEQAAEQAAEQAAEQAAEnAhA0DoRwnkQAAEQAAEQAAEQAAEQAAEQAIGMJABBm5HdgkaBAAiAAAiAAAiAAAiAAAiAAAg4EYCgdSKE8yAAAiAAAiAAAiAAAiAAAiAAAhlJAII2I7sFjQIBEAABEAABEAABEAABEAABEHAiAEHrRAjnQQAEQAAEQAAEQAAEQAAEQAAEMpIABG1GdgsaBQIgAAIgAAIgAAIgAAIgAAIg4EQAgtaJEM6DAAiAAAiAAAiAAAiAAAiAAAhkJAEI2ozsFjQKBEAABEAABEAABEAABEAABEDAiQAErRMhnAcBEAABEAABEAABEAABEAABEMhIAhC0GdktaBQIgAAIgAAIgAAIgAAIgAAIgIATAQhaJ0I4DwIgAAIgAAIgAAIgAAIgAAIgkJEEIGgzslvQKBAAARAAARAAARAAARAAARAAAScCELROhHAeBEAABEAABEAABEAABEAABEAgIwlA0GZkt6BRIAACIAACIAACIAACIAACIAACTgQgaJ0I4TwIgAAIgAAIgAAIgAAIgAAIgEBGEoCgzchuQaNAAARAAARAAARAAARAAARAAAScCEDQOhHCeRAAARAAARAAARAAARAAARAAgYwkAEGbkd2CRoEACIAACIAACIAACIAACIAACDgRgKB1IoTzIAACIAACIAACIAACIAACIAACGUkAgjaAbjlyPEpH6mMBlIQi3BDIy82hXj2KaP8XDW6yIW1ABAryc+mErgV08FAkoBJRjBsCxYV5VFKUR58faXSTDWkDIlBSnE+FeTn05bFoQCWiGDcESrvka8nx7HVDLbi0PPc3xpvoeAPefYKjKl/SSaWFdDwSp4bGuHwmpAyUQP+eXQItD4X5IwBB649f8wMVgjYAiu6LgKB1zyzIHBC0QdJ0XxYErXtmQeaAoA2SpvuyIGjdMwsyBwRtkDTdlwVB655Z0DkgaIMm6q88CFp//CBoA+DntQgIWq/kgskHQRsMR6+lQNB6JRdMPgjaYDh6LQWC1iu5YPJB0AbD0WspELReyQWXD4I2OJZBlARB65Piz3/+c8sScnJyqKmpiXJycimRiFN+fgEVd+lCjZEGKu1xAkWjUerWrTtFIvVUkF9IXUtLtXMlXUvp2NHD9NnBA3T60LNE/hx6f8c2Glo+nPLy82nrpvV07qSLaNvWDfS18gr68IOd1KdvGTU2NlLPXr3pb++/RxUjamjzhrdo3MTJ9Pqa1VRRVUPxWJx2bN9Mk6dOp9UrnqLyipHUf+BgevxP99OlM68W9XajRxb8ni6bfR0VFBaINE/TiOqx1K9sIG3ZuI7i8ThVjhxNubl59Nii+5J5Du6v086PP/d86tKlhMz/ZzhLHp5P0/5lNnXtVqqx2r5lA0UaIzRs+EgqLCwSbY9ovysoKKRhlaO0NIlEgraIa+Drrxw1Nsl4f90erb6Jk6ZSSUmX5JJj5hKLxcS1V2us+YjHY7Rn18f0153badIF09r10+KF82j6FdeIcrq2ORdpaKClix+kq+d+t12eWCxKf1n1jGAh2PQf2O78saNHaPlTi2nWnBttR9ajC++lGbPmauPB6qjbu4s21a6lKdNmatdvdSREfzz0wD0096bvpxzBelkXXjJD9F2ubdrGSITW/HmFuK4x1LdsQMoyo9FGenn1chpVM57OOPVkxyXHMkzMFb74/NM0dNgIGjBoSMp2G/Ntqn2TmsQvqqrHubqrvebjSl5+8Tn66mlDaeDgkykvr3kJpOzB4+yVl1ZqzPv06y+bLZmOBW0iepwWPbSQrrzmJtf59Qx8r/F9os8PngtqychzD5dZWSXmi7w8v8XRO5trtfnSeG/7LdQ4jxQVF3sqzkrQ8vzwzqZaba7meTjow2quDLoOLo/5bN6wlr4++RIqLCoKo4pkmV7r8iNo/dzzfmA01NfTk0sW0FXX3uKnGM95+bmxWsytlaPGUFn/QZ7L4Yx+Ba2qPrC76OPHj9GyxxfR7Gtv9sUliMz8zmh8B7MqkwXtoaP1tPK5Zdr7SKrnNr+L7hPvFRvFe8VFl17u2ESeZ5Ysmk9zrr/VMS0nOLBvr/bOOWHSFCoulluGy/3PxwgXz2uvfVRff1x7Fx4unklenrUrn11KI8Q900/cM8Z3MghaqeGRtkQQtJKoV728nuYtWkarFt/ZJgcELQStcUDIiDcIWuebDoLWmREErTMjuxQQtKnZeRWZXnrEa10QtO5pQ9DaM/Mqltz3gnMOCFprRl77CILWecx1hBQQtA69uHn7BzT75l9pqYYM7AtBCwstLLSw0CZnDVho20+gsNDCQuvm5QiC1g0tf2khaCFoYaF1vxoKFlp/8066ckPQSpK2s9BydgSFkoQYcDL40AYM1GVx8KF1CSzg5PChDRioy+LgQ+sSWMDJ/VhoA25KpyzO75LjTgktwIuGD22AMD0WhSXHHsGFlA2CVhIsBK0kqDQmg6BNI2yLqiBo1fKHoFXLH4JWLX8IWrX8IWjV8oegVcufa0+3oL3+h7+lAWW96d9vu1r9xbtsQd2Bz2nSzNvppSfuprI+J7nMLZccglaOE9kJ2i9/9SUVfrMLxU+xD7gjWQWSuSTAzvklxXl0DHsAuyQXTPJcsQ8wiyrsQxgMT7el5OflioByOVQv9iLEkX4C/EGHP6phH8j0s+caCwuan7mN0YSaBnTyWnnujyeaKBoDfxVDoYvYgzwaa6JYHPxV8Oc6S0uaA5AGdfzinkdo6fI1bYozujqqELS62+XieXdQZfmpni8VgtYzuuAzug8KlSuiHCe0CK1xMeHki6iXJSUl1NBQTyeccJJ4CEeoe2kP7f8c3bebiHIcEZFmu4lIwEeOHKKDB/ZT+bAKyhEvTO9ue4fOGj5CK+Pt9evowqkX08YNb1PF8Ep6f+d7IhJxfxEhuZF69+5DO3Zsp1HVY2j9ujfpvG9cQH9evYqqa8ZoEX+3btlE08i8W5EAACAASURBVC6dQc88/QSNqBpJg0Rk1gUPzKNZV31L1NuN7rv3HvrWt2/Q2sNpxowdTwMGDqLa9Wu1KMnVo8eKSK559OD83yfz7Kvbq52fNPlCLVqw+f/cE3+8/166/Mo5VCqukY9NG2q1a60aVZ2McrxR/K5Q1Fs1qjkyKEdJ5Wtg0Tp6zPhkh+7ds1vU9xZdMOUiLaqyLmjfrn2LYtEYjaweLdrfPMlw1ONPPv4HvffuO3TRJdPbDYr7//DfdNWca6mriPBsPLhPHvrj/XTTLbe1yxMT0VaXP/u0aNM4jY35OHLkCP3PYw/Tt2+wj2I5f97vaM6112nttzp27/qE1q19g/555hW2UY456vS9v/sN3fq9H6cc7HpZ02dcnjJacERE2F71/HNUI/q4/4D20ZuNlXCU4xXLn6Gx48bTV04Z4ihoZZiYL+LZZU/Q8MoqGjzkFOkox2+tfZ04zPGYcWe7mgC85uNKVq54hs74WjkNOfkU7f50c/A4W71qhWA+TkQcTR1Z2qpcFrQN9UfpoYUL6Lob20fklm0L32uffPxRcn6QzWeXju/bhJjz9PnCb3kb3l5H0caomNdGU37Lve23TOM8IhuV01ynlaDlaMzcXh4LPA8HfXD0UfNcGXQdXB7zWffWmzT14mlUVOQtCrRsu7zW5UfQ+rnnZa/LKh0Hp3l44YN0481y0WP91GWVl58bz4pne414fg0cNNhX8X4Frao+sLvoY8eO0qMPL6QbvvNvvrgEkZn7yfgOZlUmC9pjxyP07DPN7yOpntsc5Xj3bvFe8eYbNOPyKx2byPPMA/fdS7fcmnoXBb2gur17tPe18y9sfi+TObT+F8eYsfLPa699xMGk/vIivwuP9fSsfWrpEqoZK+4ZsTOIMcpxkIL2zIlzLOP0sMjt37cnzZ01lVQIWpm+lEkDQStDKU1p3AtabNujT2zYtqftIEWUY+ebFlGOnRkhyrEzI7sUiHKcmp3XQE1eesRrXX6WHKvaMgbb9rSOEFV9YDdGvUbQ9TLmnfIgyrE1Ia99lOlRjlm0rtv4brugs2YKuqDl3+uWXKtgtWZLr3GZ75TZP6LpU86hZateo49379eq+M1Pb6SyviclA+Dy7/Q8VkLUXD7nn3JeDVlZmN995WGtDghap7s+jechaLEPLQ837ENLYk9Q7EOrTz2Ictx+EkaUY0Q5dvNohqB1Q8tfWkQ5tufnVSz56xHr3BC0nUvQsnX2tutmaFbYVAcL2jdqt2kClAUkHyxQR1edmfSrZVG5p+4gPXDX97TzrF1+8Mv5pAtLTs9CVhes+nnz0mbOy2WYhahZfPP5Pz72vFY/n/v2lRclfWS5vXblhHHfwIfWgapx2x49qXHgffHLLyh3bCEdGw4f2jAGaKoyERQq3cTb1oegUGr5IyiUWv4ICqWWvx8LrdqWd4zaERRKbT8iKJRa/lx7EEGhdMEo46NqteR4wZKV9PaWnZbiUyfEIvbma6ZrIli30Ori2cpyymWyBXfV4jvbCFoujwM7ybRVF9PzFi1rVw6CQqkfu5YtgKBV1zEQtOrYc80QtGr5Q9Cq5Q9Bq5Y/BK1a/hC0avlD0Krln4mC1soAp1PSrbp2gtYoUo0rUo2Cd9+Bz7Rlybq116oHdAuw8Rynx5Jj9ePVsQUQtI6IQksAQRsaWqmCIWilMIWWCII2NLRSBUPQSmEKLREEbWhopQqGoJXCFFoiCNrQ0EoXHISFlitzs+TYvG2P0UKrC1onwck+tGYLbRCClq/jsmlfTy5/Ni53hqCVHlbqEv785z+3rJwjoXFkuZycXBGxNy6iXhZQcZcuIhpxA5X2OEH4IUZFZOHuItqviHKcX0hdRQRgPlfStZSOHT1Mnx08QKcPPUuLqPb+jm00tHw45YnImVs3radzJ11E27ZuoK+VV9CHH+ykPn3LqLGxkXr26k1/e/89qhhRQ+zHNm7iZHp9zWqqqKrRohTv2L6ZJk+dTqtXPEXlFSOpv4jY9vif7qdLZ14t6u1Gjyz4PV02+zoqKCwQaZ6mEdVjRQTlgbRl4zoRJRk+tNzR8KGFD63xhocPbfvpDz608KF180SGD60bWv7SwofWnh98aFvZcJTjJYvm05zr5aJxH9i3V3vnnDBpCslGjeegYHyMqB4nPai99lG2B4Vi0WoX5dhqyXGqJcF+LLTcUXZLjq3ENASt9NDOjIQQtHWa4B1/7vlauPaD+9v+n3sJUY7bjlVEOXa+dxHl2JkRohw7M7JLgSjHqdl5FZleesRrXX4stKoi7CLKcesIUdUHdmPUq1jyMuad8iAolDUhr32U6YKWr9Zq2x5dJOpxe5x8aLkcPdKw0UrLorfqrNO0fWT9CFr2feU27Np7IBmRWQ8KxcGgzGKXr4kPLDl2uuMz5DwELQStcSgeO3qElj+1mGbNudF2hELQOt+8ELTOjCBonRlB0Hpj5FVkeqnNa10QtO5pw0Jrz8yrWHLfC845IGg7n6A1ilHj1RutrTKC1q4cY5Rjr0uO9WBOerRlvZ16G1k43/Pgk8nms9+uHmEZS46d73vlKeBDq64L4EOrjj3XDB9atfzhQ6uWP3xo1fL3I2jVtrxj1A4fWrX9CB9atfy59qB8aNVfScdoAbbt8dmPmqCtEtv21GDbHp8oXWeHoHWNLNAMELSB4nRdGASta2SBZoCgDRSn68IgaF0jCzQDBG2gOF0XBkHrGlngGSBoA0fqq0AIWl/4iFjQ5pyZT8cn5PssCdndEoCgdUss2PQQtMHydFsaBK1bYsGmh6ANlqfb0iBo3RILNj0EbbA83ZYGQeuWWPDpIWiDZ+qnRAhaP/REXvjQwofWOITgQ9v+hpJhYs4FH1rniQk+tM6M7FIgKFRqdl79Wr30iNe6/AhaVQGJEBSqdYSo6gO7MQof2lYyiHLcdpSsfHYpjRg1hvr1H6TtPKIfELReZvzw8kDQ+mQLQQtBC0EbSXkXQdBa44k0NNArL62kypFjqE+//q5nIgha18iSGSBoIWibBIIqF1uGeB9trTkhaCFoZcYRgkJZU/L60SEbohzLjAukSU0AgtbnCIGghaCFoIWgHTj4ZMrLc+d2AEErN/m+s7lW27e7YkS1tp93EAcELQQtBO0gX7eS3yXHsNDa44eghaD1dXN20swQtD47Hj60PgH6yA4fWh/wAsgKH9oAIPooAj60PuAFkBU+tAFA9FGEnyXHPqpF1hYCfgUtQPojAB9af/yCyI0lx0FQDK4MCFqfLCFofQL0kR2C1ge8ALJC0AYA0UcRELQ+4AWQFYI2AIg+ioCg9QEvgKwQtAFA9FEEBK0PeAFlhaANCGRAxUDQ+gQJQesToI/sELQ+4AWQFYI2AIg+ioCg9QEvgKwQtAFA9FEEBK0PeAFkhaANAKKPIiBofcALKCsEbUAgAyoGgtYnSPjQwofWOIRkAiA9uvBemjFrLhV36WI5+ur27qJNtWtpyrSZbSLqGRMn4nF66IF7aO5N3085gvWyLrxkBuXm2u+V3BiJ0Jo/r9ACFPUtG5CyzGi0kV5evZxG1YynM049mQ4egg8tfGhbh8zmDW9RIpGgyqrRlJuX53OGJYIPbStCjj66fcsGKigopGGVo3yztSvAa+RhLw3yWpcfQavKfxNBoVpHiKo+sBujXgMOeRnzTnngQ2tNyGsfISiU04jrGOchaH32IwQtBC0ELQQtBC0ELROIxaL0zqZaysvPF0Gsanw+Xdpnh6BtZQJB63548YfQ1c8/TZViC5IysQWJn8OvhRaC1p4+BC0ErZ97M6i81//wt/RG7bZ2xf3mpzfSlPOCf775bTcErU+CELQQtBC0ELQQtBC0ELTeHqaw0Hrj5iUXBK09Na/WPy/94JQHghaC1mmMpOM8C9pRw8+gubOmpqM633VA0PpECB9anwB9ZIcPrQ94AWSFD20AEH0UAR9aH/ACyAof2gAg+ijCj4XWR7XI2kLAr4UWIP0RgA+tP35B5O7oPrQQtEGMkiwqA4JWXWdB0KpjzzVD0KrlD0Grlj8ErVr+ELRq+UPQquUPQauWP9cetKCN/jWq7KIKTmu/xzsErbLuUFMxBK0a7lwrBK069hC0atlz7RC0avsAglYtfwhatfwhaNXyh6BVyz8MQXvs2WPUuK0x7RdW8s0SKhpW1K5e+NCmvSvUVggfWvjQGkcgohy3vx9lmJhzvSgClwwdNoIGDBqSMjqzMZ/XICNe83HdL7/4HH31tKEEH9rWnkCUYwSFcvNUhg+tG1r+0sKH1p4ffGhb2XDwuSWL5tOc62+VGnAH9u0lnvcnTJpCxcXWuzeYC+LnLh8jqsdJ1cGJvPZRtkQ5ZkHbFGmS5hFUwoKhBbaCFj60QVHOgnIgaCFoIWgRFAqCFoKWCSDKsfuHNgSte2Zec0DQQtBedOnljsMHgrYtopXPLqURIjJ4PxEZPCcnJ3ky6CXHjh2T5gRYcpxm4Kqrg6CFoIWghaCFoIWghaD19jSGoPXGzUsuCFoIWgja/q5vHQhaRDl2PWiyMQN8aNX1Gnxo1bHnmhEUSi1/+NCq5Q8fWrX84UOrlj98aNXyhw+tWv5ce2ew0GIfWvXjLG0tsBK0uYcOUc6hL7U2xAcPSVtbOltFELRqexyCVi1/CFq1/CFo1fKHoFXLH4JWLX8IWrX8O4OgVU/YXQuwD607Xu1Ss6DNHZRPxy7Op7xPPqYTbrmeit58rU26RI8e1NTjBIqJADcscJvE/2MDB2t/R4dVUKJ7DwhfD/0AQesBWoBZIGgDhOmhKAhaD9ACzAJBGyBMD0VB0HqAFmAWCNoAYXooCoLWA7SAs3R0C23AuEIvDoLWJ2I7H9rcpiZKCOfx3ESCEqKO/HicSurrqaG4mE787DNqLCykHkeOUH2XLlQYiVB38e+Gbt2om/j3l/3K6EDXEipvEs7npd3p3cZ6OnPQKZRX0pU2//19OnfSRbRt6wb6WnkFffjBTurTt4waGxupZ6/e9Lf336OKETVaxLlxEyfT62tWU0VVDcVjcdqxfTNNnjqdVq94isorRlJ/Iaof/9P9dOnMq6mkazd6ZMHv6bLZ11FBYYFI87SIPjeW+pUNpC0b11FctL9y5GgRcTaPHlt0XzLPwf3woTUOIZmIvo8uvJdmzJpLxaLvrY66vbtoU+1amjJtZpsABMa07Av10AP30Nybvp9yBOtlXXjJjJTRghvFuFvz5xWij8dQ37IBKcuMRhvp5dXLaVTNeDrj1JPp4CH40MKHtnXIIMoxohy7eazCh9YNLX9p4UNrz89rBF1/PWKdO5GIt3kHs0rFgvbQ0Xpa+dwy8dwem/K53STeR/eJ94qN4r0CPrTwoQ1jzGZCmRC0PntBOihUXj51yc2lSDxGJwhxGRUTTKkQoREhDgobItTj04PUUFREpULYHj7hBNrXty9Vbt5MooNoS0UFjdy4kfJjMXpz3Dia9vobtK6qiioao7TjxBOprxC6EZH3xK98lf76+UE6a9y5ELSiX+OC9Z5dH9Nfd26nSRdMa9fTixfOo+lXXEMlgp/xiDQ00NLFD9LVc7/bLg9HMf3Lqme0B0i//gPbnYegbX9DyTAx58K2Pc4TE1toE9HjtOihhXTlNTc5Z7BJkRAf3fg+0T94eS6oJSMELQStmzEEQeuGlr+0ELQQtBC0ELT+ZpHMzQ1B67NvpAVtfoFmkWuMNFCpWH4cjUapW7fuFInUi+A6hdS1tJSiwu+2q7CAHhN/H2yop2HRGOUdPkzbSrtS1fZ3qeDYUVorhOyly5bRutGjNZG7vbycBuzerQnavvv20TYhfse98Qa9Nnkynb/9PXp+wgSqEYI50qcvvZOXQxeMnUjP79hKZ9acDQstBG1y9MNCS1TlYj88HRz2oW0/gULQQtC6eaxC0Lqh5S8tBC0ELQQtBK2/WSRzc4cuaKfM/hF9vHu/JYF3X3k4c8lItkz3oS168koqXrWCPn9kKTVMuVgyt/tkesCpfGFRYZ/dHBGAKn/3J9rfBdu2Uu7hQ9rvZQ7252X/XfbjzUa/XvjQyvRyeGngQxseW5mS4UMrQym8NPChDY+tTMnwoZWhFF4a+NCGx1amZPjQylAKNw18aMPl67b0UAUtb8o7oKw3/fttV7ttV9ak1wVtt58N04Tk/k07MiLAE7eFxS2LXL+iVw9mFR80mPhPgi3M5Wdpga444JWqA4JWFfnmeiFo1fKHoFXLH4JWLX8IWrX8IWjV8oegVcufa4egVd8HxhaEKmjPnDiHFs+7gyrLT82sqw6wNSxo87ofpe63stDrQfs+rAuw9HCLshK9/Dv99zKWXj2CMwtctvimM3ozBG2448OpdAhaJ0LhnoegDZevU+kQtE6Ewj0PQRsuX6fSIWidCIV7HoI2XL4ypUPQylBKXxoIWp+sg/ShZf/akq6ldOzoYfrs4AE6fehZWpTb93dso6HlwykvP5+2blqftijHI4dWUFlRMW3dsJYSX3xBoz//kgqF4J3/lcF07dPLqHvdXqoTvr9vnH02XbRiBXU9epT2DBzY5v+M954f/ICu2rSFSvr00yy8G3r3pAYR5bl8zDmUJwJZNTZGaPuWDVRQUEjDKkdpPcKBaraISM18/ZWjxiZ7if2tOOryxElTRTCnLtSrRxHt/6JB4xITQbMqRlRTvvBX5gNBoYgQ5dj5Bt9U+yY1iWTwoW2Ogu73gA8tfGjdjCH40Lqh5S8tfGjt+SHKcSsbfidbsmg+zbn+VqkBd2DfXi0Q6YRJU6i42Hr3BnNB/NzlY4SL2BVe+6i+/ri248fwqtHUpx98aKU6NQsThSpoecnxtPPH05TzarIQjVyTO7Kgldm259MPP6Atb6+l87r2oG57dtPBA3VUW1RAU/73FSo9sF+z9t5z++107YIF1F0EuOJj3ZgxWkTnMW+9RUViu5jj//RVLWpznth2aKTY4yh65jCKCd/e9YX5lCMCaQ0ffy4ErWk4Ytue9venV2HqNR+3AEGh2vcDBC0ErdzTszkVBK0bWv7SQtBC0CIoFAStv1kkc3OHKmg3b/+A7vj1Alq1+M7MJeCzZZ1d0DrtQ8tBrBY/9SjN7N2fuh87Rnm7PqHNxw5TVIjbMWvfpJIP/6ZFaGaRy/vxssjlIyG2OHr9nHMoR1hqx2/dKiy7Q7TgVbt79aT14s95Q/6JCoePoBMH9aH9TcKKDAut5UiGhdb5BoegxbY9zqOkfQqrJce8rdc7myBo3fCEoHVDy19aCFoIWghaCFrZWYSNkm/UbmuX/Dc/vTFpqGTXUuMxvnoYPXDX92SrCDRdqILWfKHmlneUKMdFb91PJS/8hI7dcDMd+o+7Au2gzlCY0ZeXBS//yRVbFxVsf0cEtPpS/PtQSgzsx6sLXj1aM/vzZkLgqo7cf/ChVdu78KFVyx8+tGr5w4dWLX/40KrlDx9atfy59o7uQ8uCdtTwM2jurKmWsHkXm+lTzmlznvN0SEGrfriF3wIOClX8v3dSF/HnyA/v0P7gCJaAOXhVwbvbkoI3T0Rypi+/hOANFrlUaRC0UphCSwRBGxpaqYIhaKUwhZYIgjY0tFIFQ9BKYQotEQRtaGilC+7MgrbuwOc0aebt9NITd1NZn5OkmYWZMFQLbZgNz5SyWdCWLPsOFW15nL689wE6fsVVmdK0Dt8OPcrxp1vfb7NFkVHwylh4zfvxsg+vvjURn8NhTQCCVu3IgKBVyx+CVi1/CFq1/CFo1fKHoFXLn2sPXNCK4KrKjosvble1jIV2UP8+yiyy5gaHLmjZj3b2zb9qU29H2soHPrR1WtTh8eeeT126lJDZp5Y7fsnD82nav8ymrt1KtXHAEY0jIoresOEjqbCwKPQoxx8In7YLTjszuSevLnjnDRtKN8ybR92Eb6/xqBeBqO797nfph3c2+34bBW9ECNzl3bvSyN79qPfI0e32HD529Agtf2oxzZpzo+289OjCe2nGrLlULOqxOnS/1ynTZmpRnq0OBIVqT8WrL6zXfNwCBIVq3w8ICgUfWjcvZfChdUPLX1r40Nrz8xpB11+PWOdOJOK0esXTIgLwWOpXNtAyEQvaQ0fraeVzy6hy5FjqWzbAtilNTU20b+8u2li7luBDm8E+tFcJg9jixWEMqdRlPvoo0ezZloLWrQ+t0b823RcSqqBd9fJ6+sEv57cxSetmapUXHSRkCNrMF7R/3bmdJl0wrV23L144j6ZfcQ2Vfvpp0sLL/rvRvbvpjycPou8/8qgWpdl4RMV2Q0tnzqRzXnuNBn/ySVLwxkTQKha+Xw4eTI93Laarz/kGJUSkZisLLwSt8x344vNP09BhI2iA4JorAoTJHF6Fqdd8ELTWvQJBC0Erc7/qaSBo3dDylxaCFoIWgjbDBa1DzBh/M4BNbvFOaydoU/nQmkvTNZ8qo2WogpYdhm++Znq7bXv4ouctWtYhoh9D0Ga/oC0p6drmvow0NNDSxQ/S1XO/q/2eRW3+ro+1v5t276LnEo109ttv05C//72d4D3cvTstnDuXbrv77mSZeoAqXsbM+/DO71ZEV4yZSIU9e1sKXlhoiSBonR9bvOQ4ET1Oix5aSFdec5NzBpsUvOfzHjG+d2zHPrRuICLKsRta9mkhaIPhKFMKBC0ELQRtBgtamZs4jWmclhxbNcVO96Wj2aEKWo5ybKXU9WXIHSXKcY+7Kyj3y120f9MOS4GSjo7sjHXoPrT7v2hQevksdDkiM0dm1qM0F2zbqll9zRZeq4YaBS/773KkZt6iyM7Cq/RiDZXDh1ZtT8CHVi1/+NCq5Q8fWrX84UOrlj98aNXy59oD96FVf0ltWpBK0LKOu/+R59r4z+oWWlXaLlRB2xkstBwUCoJWzV2YKYI21dXzlkMcmEoXvOy/myN+Jyt4eUuiJmHZ5S2ItEBVGSR4IWjVjHu9VghatfwhaNXyh6BVyx+CVi1/CFq1/DuLoE3lQ2u1T60qMcv9Eaqg7Qw+tBC06iaVbBC0TnSMgldb2rz7k6TgzRPLQJ324OXyzUuaeVlzOiy8ELROvRvueQjacPk6lQ5B60Qo3PMQtOHydSodgtaJULjnIWjD5StTeke30MowyKQ0oQpavlBEOc4ljliXn1+gRbVtjDRQKVvaolHq1q07RSL1VJBfSF1LS7VzJV1L6djRw/TZwQN0+tCztCi37+/YRkPLh1Nefj5t3bSezp10EW3buoG+Vl5BH36wk/r0LRORghupZ6/e9Lf336OKETXEgVnGTZxMr69ZTRVVNRSPxZM+cqtXPEXlFSOp/0ARwOhP99OlM68W9XajRxb8ni6bfR0VFBa0ibDHUYzj8biIpDdaBOjJo8cW3ZfMY45qnIlRjp2CQjn50Bpv2FgsSn9Z9YwWVbBf//bRB4OOcpx3+HDSwmsUvLliifNvLp1GP/3FL1LOJx8PGUKvXHABzXx3JzUJoctil//o2xKx9ZetwI2RCK358wpxXWNSRkvkyqLRRnp59XIaVTOezjj1ZDp4KJKyDTJMzAXAh9b5MQEfWmdGdinYb5PntYmTplJRcbGnguBD6wlbu0zwoQ2Go0wp8KG1p4Qox61sGsUuFEsWzac5198qM6zowL692jvnhElTqLjYevcGc0EcjJGPEdXjpOrgRF77qL7+uPYuPLxqNPXpBx9aaeBZljB0QZtlPFw3F0GhOn5QKJWC1mnbnuuu/HbKJc27xa4/r06cSLNFWPZcEfzH6mAL73HxMeTZr59LoyNR8YGkf0o/XgjaVorYtqf9iEKUY0Q5dvMghaB1Q8tfWghaCFoEhYKg9TeLZG5uCFqffQNBC0FrHEIy1sh0b9uz+bU19M3SEymfg1SJbYm0P4bIzdz+BrF6YNmll9LZr79Og3btandXsOjVtyZqEP9+TuzFO1p86fzqhPH0aU6JZuW1O2SYmPPCQus8McFC68zILgUstKnZeRWZXnrEa11+lhz72arLyzXqeRrq6+nJJQvoqmtv8VOM57wQtBC0ELQQtJ4nkAzPGIqg5ejGvM8s70Gb6lDpPBxUvxy6fSv1uGe45sfIUY5xpI9AR/ChTR8t+5pY3HJEZg5UxQGr2I+Xf6f9kfTjNQevslvanAnX21HaAB9atT0JH1q1/P0IWrUt7xi1w4dWbT/Ch1Ytf64dPrTq+8DYglAEbWZdYritgaANl2+q0iFo08PeHKk5aeUVIrhQ+PI2ffmFVPCqVKKXPwhl+jZF6aEtXwsErTyrMFJC0IZBVb5MCFp5VmGkhKANg6p8mRC08qzCSglBGxZZb+WGKmjt9qHl6MfzFi2jVYvv9NbqDMoFQauuMyBo1bHnmo1Rju1EL+/Ny1sW8dZFMhGbuVxd3HKkZt6TVxO6FoGs1F69+tohaNX2AQStWv4QtGr5Q9Cq5Q9Bq5Y/1w5Bq74PjC1QImj1yMcdYckxfGjhQ2u8oWT8RdPtQ7updi1deMkMEaE613b2SUeU49mXzmoTwEq39LLo1Zc98998PH7FFTRqwwb6yocfpgxmxWJXF75v9jxRE7/VZYOSopjFsdPhx58OQaHa00VQKASFcrrnjOfhQ+uGlr+08KG15+c1gq6/HrHOzTtjrF7xtIgALHZTKGu/mwLnYkF76Gg9rXxumbbrQt+yAbZNaWpqon17d9FG8S4AH1r40IYxZjOhTCWCdsGSlbRs1WsdwkILQQtBC0Eb7LY9LGpXv7mGhkfjNPh4AxW27M2rB7Kys/a+OmECNYltria++iqReIDrh3E5M29XxFbfmNiyiv/mc+uOHxVJm6jyG1Ndz8kQtBC0Xx6LJiHwtl7vbIKgdXMjQdC6oeUvLQQtBC0ELQStv1kkc3MHLmit9p21uvzF8+6gyvJTM5eMZMsgaCFoIWiDFbTM0ynKsb7EOV8ErWKhy8Gs1tcf0f4++6N/UN7H/9ACXekW31S3s1EI89JmPvSIzuYlz5oYHjREiOHm/Xsh7ZEwnAAAIABJREFUaCFoIWglH5Y2ySBo/fFzkxuCFoIWghaC1s2ckU1pAxe0xou386HNJkBObT3yrRVUuugSiow7hz5bvtopOc4HSAA+tAHC9FCU0YfWQ/a0ZTEuZ9aWN4tti1jssvjVrb7cGBnxa260vqRZF8B8XvP3FUufdQswW4Wb/98sgoM64EMbFElv5cCH1hu3oHLBhzYokt7KgQ+tN25B5YIPbVAkvZcDH1rv7MLIGaqgDaPBmVYmBK26HoGgVceea84WQeuGki5+db9eFr2apZdFsBDD2rZGwirsJshVKhGsWYBblkHrwa80UcxRnx2EMAStm54NPi0EbfBM3ZQIQeuGVvBpIWiDZ+qmRAhaN7TCSQtBGw5Xr6VC0Hol15Lv2PQ/UNdnbqbjV1xFX977gM/SkN0NAQhaN7SCT9sRBa1bSrpVV1/6zPnNFmAWws0WYflIz1bt0Lc9YuHLYpdOPpny83KooaRUswDrVuGkQA7JMuyWUUdND0GrtmchaNXyh6BVyx+CVi1/rh2CVn0fGFsQqqCtO/A5TZp5u+0VI8pxd4pE6oWlq5C6lpZSY6SBSrqW0rGjh+mzgwfo9KFnUY4IcvP+jm00tHw45eXn09ZN6+ncSRfRtq0b6GvlFfThBzupT98yamxspJ69etPf3n+PKkbUEEcaHTdxMr2+ZjVVVNVQPBanHds30+Sp00X0vKeovGIk9ReBcR7/0/106cyrRb3d6JEFv6fLZl9HBYUFbSLsbdm4juLxuIikN1pEys2jxxbdl8xzcD98aI0DHFGO29/uMkzMuZx8aK0mFa/Rir3m4zZ48aHVRXDsHx/Sy+LerhaCtOzY8aQlWBPFwi9YRggfEfPGH6+7jm7/7W+lnizGJdKcQbMEiznmH7170ZYepTStIaYtmebDLIz5dzLLphHlGEGhpAZjSyL40Lqh5S8tfGjt+SHKcSubxsYILVk0n+Zcf6vUgDuwb6/2zjlh0hQqLu4ilYefu3yMqB4nlZ4Tee2j+vrj2rvw8KrR1KcffGilgWdZwlAF7ZTZP6LpU86hqrNOozt+vSAZ1fj6H/6Wpp0/nqacV5NluNo3F0GhIGiNo0JGvHXWbXtmzblR+n7vyIJWhxBpaKBXXlopPhSNkXrI6oGw2NrLYrdYbMPQmNNEC/fV0fXHGzXLMB/60mgZQawJV7Gd09+/8hXaUF1Nly9ZIt1Hxi2R2IeYDy1q9EknUFyI5Jp4gnJKm32GdZGs1deyxJr/refjf9uJ5Xc211I0GhUf6qopP79Aun2pErKI4g91EydNpaLiYk9lWlloEeXYPUoIWvfMvOaAoLUn51Usee2LVPmwbY81Ha99BEEbxijNvDJDFbR6UKh+fXrStbffmRS0HAnZKHAzD4t8iyBoIWiNowWCtv29I8PEnAuC1nkOYh/aRPQ4LXpoIV15zU2OGXRBzAl5iTQfbAlOiL93ffk5bYs2aBZaO2HM6WWWTb8+fjzFxWqSs19/nfLEyg4vh768mvO+VV5OkZ69qObjT6hAlKf7HevlGsUy/67d/017EbOI3vf5p7T5gx30dbGapbBXH0/BuiBovfRs+zwQtMFwlCkFgjZzBW3J449S0av/S4d/8jOKDhyIfWgtugqCVuYu77xp0iJoeXseFrf6EmN9a5+OsOQYPrTqbh740KpjzzXDh1Ytf9VBoYxRoY0CWaeiC2NNOLdYj3URrafR88mK5XQRN1qf9TqN1mT+Xa6wROeccAI1xlr3PLYS1HbCO/l7k+DWf68HBbO7Zqs2potPJtQDH1q1vQAf2mD48zxa+pv/JBa0fETLz6KDr6xzLBw+tI6IQk8AH9rQEbuqIFRBy0uLRw0/g+bOmkrGfy9YspKWrXotabF11eIMS1z/9R9Tl/+9k4788A7tD470EYCgTR9rq5ogaNXyVy1ow7x6ozWZ62krfJuXXOuHUSzz79r9X7wwGg9jWfx7GatzmNcaRtlGC7dd+cngYika0MYa3iSEu1hK3uYw/E7fs9nN9Zit6W7yFp76FS15fcTbKgC9LvOHCjdtcEor43PuVEamnoegte8ZPVo+i9NUR+ldv6KuD8wT89khzV1Dm7/EfMUBRjnQaKoDglb9nQFBq74PjC0IVdCaL5WttPrx0hN3U1mfkzKLhofWQNB6gBZQFgjagEB6LAaC1iO4gLJ1ZEEbECLPxVjtSWwWwsX1x6jg8Jd0PBJrU49ZUOsnbX9vEtx6et0H2u4ivOyb7BkIMmY1gTCs+bni2wavTeBvGpl0BPWBwur+M5atMzXGLMgTrhwsTvWDPyxFRfDOxnFna3/43/w7vnd7ffOC5N7nLF6P/OAnVPTma3TCLddr4vbTZ1drgQJL/mexlo63jDMeBSLCfVzAT7DPCA4lBIreeFVJvajUmkBaBW1H7AT40MKH1jiuZfxFERTKeSaAD60zI7c+tHYlJsQb0R7xIqZHQXeuOXUKRDlWH+XYbOG26jE9uJjVubpjR2jDvj10/ol9qMvRI81J2DprVi+G3+l7NrsZPyzy93QpprdOOpEurttPRS7ezot2NwdBiyXcK6o3/ukUTY2N//tHbaz/ybZbXaubC2tJa7b+Hy8poT/cfDP94K67PJTmP0s8L4+WXHklnfPqqzTk47YrF/yX7q6EVydMoCbBeaJoSyao4qNdu9L9N95I3/+v/3J3IRapjdZW42kWs3Hhw1+w/R3t15yOhazRGtt7othNYud79Ohtt2tsTq5db9uexqIievJf/oXOEfEKBn3SfD9YHXyHfCy2eWPm//qnPzleX6SwkO7+3vfo//y//+eYlhPsFj6/r599Nk177jkqOXbMOY/od24L9/sE7n/Jw2sfHRP33Ypp02j8G2/QwF27JGtrTfbIv/4rnfPaazTko4+ozRqVTPua4/rKOlaGUAWtHhSKfWg76gFBC0FrHNsQtO3vdBkm5lwQtM4zJgStMyO7FIhynJqd10BNXnrEa11+fGj9bNXl5Rr1PA319fTkkgV01bW3+CnGdV7dms8fr1atf42qTjuTynr2dl2OMUP3kgKKxpvEku+2KxRkC93w/rsiaRONPL1cNotUOvNKCqlMItHxaCM9vnMbXTusKpnFbO01lp1k2hK1nX3eWayyaNUP/rBUKKyuRWtfp8I3XksKWT7PLmrHrr+5XUA6zXpbPYyWXHEFTRAiqkxEiue0vKTfeJQK/kcbovSc2LpxZL8BVCa2fLQ7moTw2is+UtXW7aZLTx3qiKRRBN9btH0jXV9R7ZiWE+w7dlT7ADZpyD9RsQgIKHPU7tutJavuN1AmuZbGqo9kMteLKPlrdv2dqvoOoH5ii0q3x7N/20GjBOP+gjFvpakfPS85321RSB8iAQhan3AhaCFojUNIRrzBQut800HQOjOCoHVmZJcCgjY1O68i00uPeK0LgtY9bUQ5tmfmNYKum17QBK4Qt9EzhyV9Zq3yl4ggUSv2fkxnb9xIXRY/bZmWfWgPHa2nlc8tE1u/jaW+ZQNsm8KCdp/Y5m1j7Vq66NLLHZuMfWjbIlr57FIaMWoM9es/qI2ghQ+t41BKa4JQBW1H2m/WrleiU26mghf+QIf+4y46dsPNae28zl4ZfGjVjgD40KrlDx9atfyttu1R26LOVbsfQdu5SIVztQgKFQ5XrVRhSe/+s/9DDVMvocbR4ywrQlCoEPlLFg1BKwkqTclCFbR1Bz5vs/9smq4prdXEvn4V5f/vYqmodGltWCeoDIJWbSdD0KrlD0Grlj8ErVr+ELRq+UPQquUPQauWP9cOQau+D4wtCFXQGqMaW112R9iHFoJW3YCGoFXHnmuGoFXLH4JWLX8IWrX8IWjV8oegVcsfglYtfwha9fzNLQhV0Gbe5QbfIvjQwofWOKrgQ9v+HpNhYs4FH1rnuQo+tM6M7FLAhzY1O69+rV56xGtdfgRtZwsKpfcLfGjtR2g6fGhl749EIk6rVzxNI6rHUr8y66BJ8KGVpSn2qq4/Tq+vWU3Dq0ZTn3795TO2pIQPrWtkSjKEKmjtohyvenk9zVu0jFYtvlPJRQdZKQQtBC0EbSTlLQVBa40n0tBAr7y0UgT0GOPpIQtB630mh6CFoOWtTKqqrf0TvY+s1DlVRTmGoHXuUQjaVkYICtV2vEDQOt8/mZBCiaDdvP0Dmn3zr6gjLDmGoIWghaCFoB04+GTKy5PbrkAfLxC0co/AdzbXUlRsu1Axopry8wvkMjmkgqCFoIWgHeTrXvK75FiVldzuoiFoIWjtxgYEra+pIm2ZlQjaBUtW0rJVr3UICy18aNM2VttVBB9adey5ZvjQquUPH1q1/OFDq5a/nyXHalveMWr3K2g7BgV1VwEfWnXs9ZoRFEp9HxhbELig1a2vTpe5eN4dVFl+qlOyUM7zdkJv1G7Tyh4vNrB+4K7v2dbD4vueB59sd163LsfHXkJ5b61AlONQeip1oRC0CqAbqoSgVcsfglYtfwhatfwhaNXyh6BVyx+CVi1/rh2CVn0fhCpojYXb+dCqRPCLex6hPXUHkyKWxe2Ast7077ddbdksFrRvb9lpL3rPPZfolVfos+WrKTLuHJWX1unqhqBV2+UQtGr5Q9Cq5Q9Bq5Y/BK1a/hC0avlD0KrlD0Grnr+5BYFbaDPvEtu2aMrsH9Gvfjw3aR1mi/Idv15gu/zZSdDChxY+tMYRJhMA6dGF99KMWXOpuEsXy9ulbu8u2lS7lqZMm0k5OTmWaTha5UMP3ENzb/p+yltOL+vCS2ZQbm6ubdrGSITW/HmFFqCob9mAlGVGo4308urlNKpmPJ1x6sl08BB8aOFD2zpkNm94ixKJBFWKiJK5eXm+HwnwoW1FyMFatm/ZQAUFhTSscpRvtnYFeI087KVBXuvyI2hV+W8iKFTrCFHVB3ZjFD60beeZJYvm05zrb5W6pQ/s20s870+YNIWKi63fa8wFcf/zMcJFYDavfYQox1LdmPWJOpWgrTvwOU2aeTu99MTdVNbnJK3zrH5n7FXzkuMhA/u2Eb8QtBC0ELQQtBC0ELRMIBaL0jubaikvP18EsaoJ/AUBgrYVKQSt++GFbXvsmXkVS+57wTkHtu2xZuS1jyBoncdcR0gRuqBli+jHu/dbskp3lGMvgtbccF6izIfud2svaHOpqSmhWcXi8YSIzplPJSUl1NBQTyeccBI1RiPUvbSH9n/+2t6ttJQiwkrWrVspHTlyiA4e2E/lwyooJzeH3t32Dp01fIRWxtvr19GFUy+mjRveporhlfT+zvfEPmX9qTHSSL1796EdO7bTqOoxtH7dm3TeNy6gP69eRdU1Y0QbYrR1yyaadukMeubpJ2hE1UgaJCKzLnhgHs266lui3m5037330Le+fYPWHk4zZux4GjBwENWuX0vxWJyqR48VkVzz6MH5v0/m2Ve3Vzs/afKF4vq6kvn/zOqP999Ll185h0rFNfKxaUOtdq1Vo6qpsLCI+CVto/hdoai3alTzSyBbePga2EI5esz4ZDfs3bNb1PcWXTDlIurSpYRKivPoWH2M3q59i2LRGI2sHi3a3xwJNRaL0Scf/4Pee/cduuiS6e3G4P1/+G+6as611LVrtzbnuE8e+uP9dNMtt7XLExPRVpc/+7Ro0ziNjfk4cuQI/c9jD9O3b7jFdn6YP+93NOfa67T2Wx27d31C69a+Qf888wpbC21cWGjv/d1v6Nbv/TjlPKSXNX3G5SkttJFIA616/jmqEX3cf4D1vnd6RWyhXbH8GRo7bjx95ZQhdLwhlrINMkzMBTy77AkaXllFg4eckrLdxnxvrX2dSIQuHTPubFdzs9d8XMnKFc/QGV8rpyEnn6Ldn24OHmerV60QzMdRWf/UVnGrcvPzcqmh/ig9tHABXXfjd91U3SYt32uffPxRcn7wXFBLRr5vE2LO0+cLv+VteHsdRRujYl4bTfkt97bfMo3ziKxFwVwnL7lnt4eGxnjyFEdj5vbyWOB5OOjDaq4Mug4uj/mse+tNmnrxNCoqKg6jimSZXusqLGhecdIYTbhun5973nVlhgz8Yv3wwgfpxpvlLF9+6rLKy8+NZ8WzvUY8vwYOGuyreHZ5iCeaKBpzz58rVtUHdhd97NhRevThhXTDd/7NF5cgMnM/Gd/BrMrsUiTefY5H6Nlnmt9HUj23m5qaaPdu8V7x5hs04/IrHZvI88wD991Lt9yaegWYXlDd3j3a+9r5Fza/l8kcWv+LY8xY+ee11z5iIfyXF/ldeKynZ+1TS5dQzVhxzwwc3OadrLQkmKj7MryQxplAqILWyT/VuXnBpghC0LbbcqjFh/b46r9Q/OwJwTYYpaUkwGJXF7RAlX4CueJlnl9qnARt+lvWOWpkQVuQn0P1kVZB1TmuPDOu0krQZkbLOkcr/AjazkEo3Kv0K2jDbV3HL50FbTTWRDHx8RCHGgIQtGq429UaqqDNxKBQbn1ozeDsBC2CQqV/YCMoVPqZG2tEUCi1/BEUSi1/BIVSy9/PkmO1Le8YtSMolNp+RFAotfy5dkQ5Vt8HxhZ0OkHrFOXYvKSYBfCqxXcmmfH/R1ed2RoVGVGOlY1oCFpl6LWKIWjV8oegVcsfglYtfwhatfwhaNXyh6BVyx+CVj1/cwtCFbQsDqedP56mnBd8cAw/KFPtQ2sWtMa0XOdl077eZosfBIVCUCjjWESU4/Z3pgwTc64Xn3+ahg4bQQMGDZH2ofUaNdNrPm7zyy8+R189bSghKFRrDyLKMYJCuXk+I8qxG1r+0iIolD0/rwGH/PWIdW4EhbLm4rWPEBQqjFGaeWWGKmidtsTJPBzuWwRBC0ELQYsoxxC0ELRMAFGO3T9DIWjdM/OaA4IWgvaiSy93HD4cFArb9rRiWvnsUhoxagz16z+oTVAoLDl2HEppTRCqoGUf2lRHuqMch0EWghaCFoIWghaCFoIWgtbbExaC1hs3L7kgaCFoIWj7u751IGhdI1OSIVRBq+SK0l3pKacQ/eMfdPD5dyk6WvwbR9oIwIc2bagtK4IPrVr+8KFVyx8+tGr5w4dWLX/40KrlDx9atfy5dlho1feBsQUQtH77A4LWL0HP+SFoPaMLJCMEbSAYPRcCQesZXSAZIWgDwei5EAhaz+gCyQhBGwhGz4VA0HpGF1hGCNrAUAZSUOiC1hhUafG8O6iy/FTipcjm4EqBXI2KQiBoVVDX6oSgVYZeqxiCVi1/CFq1/CFo1fKHoFXLH4JWLX8IWrX8uXYIWvV9YGxBqIKWxeyAst5aVGDj/q+rXl5P8xYta7MdTmZhkW8NfGjhQ2scLTIRfR9deC/NmDWXirt0sRxodXt30abatTRl2sw2AQiMidkX6qEH7qG5N30/5WDVy7rwkhkpowU3RiK05s8rqHLkGOpbNiBlmdFoI728ejmNqhlPZ5x6Mh08BB9a+NC2DhlEOUaUY/knKBF8aN3Q8pcWPrT2/LxG0PXXI9a5EeXYmovXPkKU4zBGaeaVGaqgZUvsS0/cTWV9TmojaDn68eybf0UICtWdIpF6YekqpK6lpdQYaaCSrqV07Ohh+uzgATp96FmaoHl/xzYaWj6c8vLzaeum9XTupIto29YN9LXyCvrwg53Up28ZNTY2Us9evelv779HFSNqiF8qx02cTK+vWU0VVTUUj8Vpx/bNNHnqdFq94ikqrxhJ/QcOpsf/dD9dOvNqUW83emTB7+my2ddRQWGBSPM0jageS/3KBtKWjesoLgRU5cjRQhTl0WOL7kvmObgfghaCFoIWghaClgkgyrH7lxwIWvfMvOaAoIWgRVAoBIXyOn9ker5QBS1bZRfe/aN2ghYW2hMoGo1St24QtIWFRUKMR2j7lg1UUFBIwypHafdMIpGgLUKUs6CvHDU2eR/xyw8L7ImTplJJSRfq1aOI9n/RoAn9WCwmxHw15ecXaOnj8Rjt2fUx/XXndpp0wbR29+LihfNo+hXXiHK6tjkXaWigpYsfpKvnfrddHn5h/cuqZ4S4F2K//8B252GhbT/lyTAx58I+tM6PDl5ynIgep0UPLaQrr7nJOYNNCr7X+D7RP3h5LqglIyy0sNC6GUMQtG5o+UsLQZslglYYEF5c/CRVVY2jPuWDLBvNS44PHa2nlc8t095HUq2sampqon1i5ddGsfILghaC1t8skrm5QxW0C5aspGWrXtOWFutLjvv16UmTZt5Ot103g+bOmpq5ZGRb1uJD+9mS7RSZ/BXZXEgXAAH40AYA0UcR8KH1AS+ArPChDQCijyLgQ+sDXgBZ4UMbAEQfRcCH1j28HLGYKXdvgppKcyjRK8e2gMI3Y5S3NUZN3XMockmh9rf5gA+te/5B54APbdBE/ZUXqqDlpunLi43N/M1Pb6Qp59X4a3mm5BYWRD4OvnCYoqPyM6VVnaIdELRquxmCVi1/CFq1/CFo1fKHoJXnz0KqKZKgHPHTJH6Mh9Xv+LxT2u4lBRSNN1FDJK4VJ1OuXZlu8julzTsqzyVVyqYiwUos9tKvKzcqWh8xsDucaM3ePZfi3QSzolxqKmr9tS5g84SIzd0j+H/amidekU/Rkflt0nPO3E+bqOiJVjceFrPRkXlEog7jUSr4RxoT1CjcyXCoIdB3WNvVfWpagVp1AqEL2g6PGoJWWRdD0CpDr1UMQauWPwStWv6ZLGh1AZNKuEi/+Btf3FMhZ+tTo8s+YYFglYd1g9koZfpd4bHmBLFEW4HmsgXNIqXRXxm2dYqyuS9wdC4CukU153D7cdXUKzcpbDld49fzKdFfCNaWo3B5I+UJ8Rs/I19Yc+NkVUbnopm5V3viT0/M3MZ1wpaFKmh/cc8jtHT5mnbBnzrStj2IcoygUMZ5Q8ZfFFGOnWda+NA6M4IPrTMjuxRGX/yi4uL2yUwirp11RuQoEj7MeUea6Hgklswfi0dp6wcbKD83nyrLmuMBJA+Rtt0hfpWbwqKUc8RgBRKZG5saaUtkMxXEC2hEvNI7AIecdU11VNtUSxfkXEBFOQaTUwg1prMuvfnrm9Zr/6zJSe9KsXqqp8WJxfTt3G+HQNK+SM1qKCyOCfHz3FERob64mgbkp45mb1Wa0cKaK74n8IgW7pmWh53lV09c27Bes37WFI/2lN+YyVhXU2lbS6Ys6OPxY/T4vsV07YDrtSztPnQUCoutYKgfidLWknOPiPR8r1p8wEgMELEO+gv2A4QVt39z21io5r8d14QrH4lT8oSwLaDcj2JUuCZGsaI4LT9pJVUNG0OD9peJsgVk04eRgrwcakg00qoDz9PIHjVUVmjvG8o+tHsb91Dtobfo0j4zHJE0inIX7X2Qrh94s2NaTrCvsY42HKqlST0nU3Gu9e4N5oJqD6/TBlB1D+v+t6rY3EdSjROJ6uPHac0XL1FV91HUr7BMNlsy3bMHn6JR3UdT/8IBbXae6Pmt7q7LQobwCIQqaNlv9uZrprdbXoygUAgKFRGBoIYNH0kICtX+5sa2PUQQtM6TfkcWtEYL4zvvvk3x41Eaftooys8TawD5xU4sn9QPfplscxiEo2YxNL0I8otnXayONkbepkkl4gWssSgwK1qsKUYbxU+++KnKqXLuRJcpGoU5c3PTZioUP5U59oJWFzCpik/14l8X2UsbDq+nyT2nUIEIvCdz5PASzUKZlK1p2EJV98Ue2vjROppUPpWKCprr4mCA/BJuPMwCqUvv5uB/9S1LXt3UvGHHWi35yK+N1URKoiAcC615CWpDfT09uWQBXXXtLW6aG1haBIWyR+l1SxhzifrcxR/BEj3t/WQ5H/vJFmyIafOPvlSZ/91wbg6t/Ovy5E4TVq1GUCj52wLb9sizyuaUoQpatsQunncHVZaf2oYRtu2BoIWgxT60qSZOCFrnx4pqQctL4finjfVSvIxt2vkWJZoSVNWrmvJyWpbSGUWmQYAarSB2S+s2NW2iqPhhgchCMYiDrYIbxM83cr5BxeLHfLQLwmKyzmgvo8JEldNDWE1jrWIolojS5qNC0FpYaI0WHb0+TbiJADF2B/vlGY9GsQf09vdERPguRTRspMkCHASYljK8Rh720gSvdfnxod1U+6ZmXayqHuelyZ7zQNC2olPVB3adF5SgdTs4eN4rWBMl9rPlIy4suQ0X57XZOhGCtpmA1z6CoHU7KrMzfaiCtjNYaMWnZK3nDz5xiKJiyQiO9BGAD236WFvVBB9atfw9+dC2LKVN+k/q1k6j/2OL+DRaPpNLX9PkE2i2MLaxJgojXsJoCTQJwjbCUQRpIZOB0WyRM1vRZHs1k31oZa8hm9P5EbTZfN2Z0nZEOQ62J3I/EsuQ/5qgWJXwqU0RAVmvFVGOg+XvpTREOfZCLbw8oQpaXlr8g1/Op5eeuFvbi5aPugOfa9v2dJhIxxC04Y1Oh5IhaJWh1yqGoE0vf30pmy5GC+O5wpdSLLk82OzDmSOW1zY1CItpi09m0voZkghNWjGN1kuj2DQIzTYi0xCt0yguvQrL9PZCa20QtKrIN9cLQauWPwStWv4QtGr5c+0QtOr7wNiCUAUtV2S1bY/VMuTMwuKiNRC0LmAFmxSCNliebkuDoHVLrCW9sJIml+m2WEiT1lBhHTX6fdoFGvFYc3I/w6TFs0WAGv0fk+LTIDz1pa/ZJjq9cpLJB0ErQym8NBC04bGVKRmCVoZSeGkgaMNjK1syBK0sqfSkC13Qpucy1NWCKMeIcmwcfYhy3P5elGFizpU1PrTPL6dTBw+lwScOobyY8O9ksSospZq1VFhGdaHKwtTsI9pADfSXxF9oVK6IvCh+nA59Ga4uRnO75FB9/jFa8rfH6F8rr9OW4eYUt/pk6tZPJxGaSCRoz66Pacf2zTR56nSnZjie37xB+NCKMiurRlNuXut2FI4ZbRK8s7mWotEoVYyopvz8YNw6HKMcSzTWStDGYlF6Z1Mt5eXni/YGH0G3UQTT275F+NAWFNKwSvjQcjcS1agUAAAgAElEQVQdqW+NMi3RbVoSVf6b8KFt7SFVfWA3Rrz6Z8qOOTfpEok4fGgtgHntI/jQuhl92ZsWgtZn30HQQtBC0KbeaDGrBK3Resr+prpvKVtOW4IZGa2mLyReoNNzT6ch4kds4iI1m2hLdcUy3fqCCL305YtU1aea+vZp3nJBs44a/D7ZMmonSFUHhbK7WAhaCFqpG6ElEYJCuaHlLy2iHNvz8yqW/PWIdW4IWmsuXvsIgjaMUZp5ZYYuaDkw1Me791te+buvPJx5RFy2CIIWghaCNsMFrRCmySBILFh5z0C2orbs7ff2529p1tTRCfcWtRfyVtPpXc+gQd2EoC3O1yLW8tYlWtAiDkbUsmzXSphGGhrolZdWUuXIMdSnn/0egnZTEgSty8nakBwW2tTsvIpMLz3itS4/S45VWQdhoW0dIar6wG6MehVLXsa8Ux4IWghapzGC8+0JhCpor//hb2lAWW/699uu7rjshQ9t4oRB9MVvt1NkWjDL4TourGCvDD60wfJ0W5pyH1pdqLKeblnqSy2WVC0gEi/zTa21212ytqy3NFfbm5IFaVKgGiynqaymbhn6Se8pyrGfCpG3DQH40KodEH4ErdqWd4za4UOrth/hQ6uWP9cOH1r1fWBsQaiC1m4f2sxC4LM1ELQ+AXrPDkHrnV0QOUMTtAELVX2Jr+ZTysJUWFGNFlT+fVM38ce0vUsQjMIsA4I2TLrOZUPQOjMKMwUEbZh0ncuGoHVmFGYKCNow6cqVDUErxyldqSBo/ZJuEbRf/uc2aphp3BzRb8HI70QAgtaJULjn3QpatpbmHG0SVlNhPW1Z+uvHospCVQuQZLakimW+ye1gDJF6w6WR/tIhaNPP3FgjBK1a/hC0avlD0KrlD0Grlj/XDkGrvg+MLQhV0PKS42nnj6cp57n3TcssTPatgQ8tfGiNo0MmANKjC++lGbPmUnGXLpYDq27vLhGFcy1NmTaTclq2hTIn5OAeDz1wD8296fspbxW9rAsvmUG5uUL82RyNkQit+fMKzZ+zb9mAlGVGo4308urlNKpmPJ1x6sl08FBEW9qbFKsHmyP96mL1WP0RevKz/6Fv5XxL6rZmobqiYQUNO6mCBvYZogVF0iyrLULVzprq1SfLaz6+mJdffI6+etpQGjj4ZMrLE1GOXRzwoZWDhSjHrZwQ5biVhR9B6+eelxu11qngQ9vKRVUf2PUffGjbzjNLFs2nOdffKjXcD+zbSxwMcMKkKVRcbP1eYy6I+5+PEdXjpOrgRF77CEGhpBFndcJQBS3vQXvHrxfQqsV3ZjWkVI2HoIWgNY6Pjipocz9rtazGD0XpxR0rqKZrDQ3MHUCxL2MpfVWP0lF6IvEEXdNFCNoW/9Q2S397NwvtRE+2rDbTzJpteyBo202PiHKMKMduHvgICuWGlr+0iHJsz8+rWPLXI9a5ERTKmovXPoKgDWOUZl6ZoQpa9qFNdSDKcXeKROqpIL+QupaWUmOkgUq6ltKxo4fps4MH6PShZ2kWuvd3bKOh5cO1vQ23blpP5066iLZt3UBfK6+gDz/YSX36llFjYyP17NWb/vb+e9r+h/xSOW7iZHp9zWqqqKqheCye3Gdy9YqnqLxiJPUfOJge/9P9dOnMq0W93eiRBb+ny2ZfRwWFBW32QNuycR3FhUWwcqTYVzI3jx5bdF8yz8H9ELTZLmjZuhrbV08vrV9JI8qqaUBufy0CsLZvqkVgpShFaVViFVXnVlOZ+OHDGEwpKVZbrKpH40fpmZceo1nX3Cg9A0LQOqNClGNnRnYpEOU4NTuvItNLj3itCxZa97QhaCFoL7r0cseBwytBYKFtxbTy2aU0YtQY6td/UJtVc1hy7DiU0pogVEGb1itRVVmLD+2h27dS/U3FqlrRKeuFD61ctxutq9peqoZIwDmfir1WJY6mXi1+qXpQJfF33on5VHpCPn1OsawLqCRxyRmfBD60arsIPrRq+fsRtGpb3jFqhw+t2n6ED61a/lw7BK36PjC2AILWb39A0Pol6Dk/BG0zuqRgbfFd5f8T+7SydZWtrA4HW1ebeuUlgyvxtjTa/qni98ZlwOZi3AaFcmoHzrsjAEHrjlfQqSFogybqrjwIWne8gk4NQRs0UXflQdC64xVGagjaMKh6LzN0Qct+tLNv/lWbFi6edwdVlp/qvdWZlBOCVllvdAZBaw62lHeUhWqLYP00LrXPqh4N2LwUWIsE3FPst+rxgKD1CC6gbBC0AYH0WAwErUdwAWWDoA0IpMdiIGg9ggsoGwRtQCB9FANB6wNeCFlDFbSrXl5PP/jlfHrpibuprM9JWvPrDnxOk2beTr/56Y0dIvoxgkLBh9Z4X3oJCmW0sLJgrTuwi2o/W0ffzPkm5UasBWe8KU7zm+bTzbk3C+uqaTmw+D9bV9nSWnd0jxYxOewox6nmJhkm5vzwoXWe7eFD68zILgV8aFOz8+rX6qVHvNblR9CqirCLKMetI0RVH9iNUa8Bh7yMeac8CAplTchrHyEolNOI6xjnQxW0U2b/iG6+Zno74cpCd96iZR0i+jEELQStk6A1LwletGE+zer3r1TyeaGlhXVP0x6qFT8saHPEjy5Ym3qJf4utjhNCsMYL4rRw+X/Ttd/JjG17IGixbY8+BhDlGFGO3bweQdC6oeUvLYJC2fPzKpb89Yh1bghaCNowxlVHLzNUQctRjq2WF+vLkBHlGFGOCwuLRITmCG3fsoEKCgppWOUo7Z5LJBK0RURq5ijPlaPGJu9Do2WlpKQL9epRRPu/aNCiP8diMRHhuZry8wu09PF4jPbs+pj+unM7TbpgWrt7efHCeTT9imuopKRrm3O8P+jSxQ/S1XO/2y5PLBalv6x6RkR8Hisi3g3UzhuDLh3/7Agt2/Y4zSn7NuXYLAn+Y+KPNDt3NnURP3yYBeue3L204UOxD+0llxEVW1toM20fWghaCFoIWhEtXMwP72yCoHXz4gRB64aWv7QQtBC0iHLc3/VNhCjHrpEpyRCqoO0MFlqhuChxwiDiKMeN3yykeP/mPTVxhE8gbT60hxPES4FJ/N0mSrBs0KUUS4K14EtZesCHVm3HwYdWLX/40Krl72fJsdqWd4za4UOrth/hQ6uWP9cOH1r1fWBsQaiCtjP40LKgjZ48jo5+awUEbZrHdmCCVhesIjJwLm9j43JbG7ugS8lowWnmkq7qIGjTRdq6HghatfwhaNXyh6BVyx+CVi1/CFq1/CFo1fM3tyBUQcuVdYYox0lB+/V8ip+Rn3m93EFbJCtoOVJw7mdCqLYI1pxGESn40ybhvyr+SOzDqgvW5m1shEWe92IVllW/UYKzvVsgaNX2IAStWv4QtGr5Q9Cq5Q9Bq5Y/BK1a/hC06vmnXdBm3iUH2yIEhVIfFOrAvgZ65611FIvEaMQJVVQQK9AEa7whSrs/+5h2NO2gKTlT2nU8+7JemXMldSkuSe7DyoK1PreBlmx8iOb88y3ttrWx8qE1FiwT0ffRhffSjFlzqbhLsw+t+ajbu0uLTDxl2kzNh9jqgA9teypeo2Z6zcctePnF5+irpw2lgYPhQ6v3CIJCwYfWzVMWPrRuaPlLCx9ae34ICtXKhuOaLFk0n+Zcf6vUgDuwby/xvD9h0hQqLrZ+rzEXxM9dPkZUj5OqgxN57SNEOZZGnNUJQ7fQZjUdicZD0IYvaEecNTZpYT3w0W7atKeWJnU7n0piwmR6UFhexbGxaSPFxE+V+MnPabaSx5pitCtnF+3I2UEX9L9Y28qmqTRH286GeufSn1bdR9Nn+Q8KZRwmELTtbxoZJuZc2LbHefLBtj3OjOxSYNue1Oy8ikwvPeK1Lj8WWj8fsbxco54H2/a00lPVB3b951Us+RkPdnkR5diajNc+gqANY5RmXpmhCFrdd9Zqr9lU5zIPj3OLIGgDELSfNdC7HOWYCqmy+wjNh5VEwKWNn6+nnONE1TnVyY6oa6qjDeLnGznfoGLxw0eTEKobCzdRLC9GlYNGUU53EeVYCNZYfpx2H/qE3v8w3CjHELRiLXeKA4LWGg5H037lpZUiYvYY6tPPfeRFCFrn+RmC1hsjryLTS21e64KgdU8bFlp7Zl7FkvtecM4BQQtB6zxKkMJMIBRBe/0Pf0sDynrTv992tSXxX9zzCO2pO0gP3PW97O8RQ1Co2Bl5FP1685YxOFoJGLe18RQlmC2rvfLaWVhzinPppAFFdKA+taBCX4RDAD604XCVLRU+tLKkwkkHH9pwuMqW6kfQytaBdPYE4EOrdnTAh1Ytf64dUY7V94GxBaEIWrv9Z/WKO9I+tMYox4kBeRSZ1rkELQdcyjkqgisdFlbVlmjBOWxh5d/b7MNqvgXYwqoLVi3oUqFIISysHHSpqZv4I85bHbJBoTLrlus4rYGgVduXELRq+UPQquUPQauWPwStWv4QtGr5Q9Cq529uAQSt3z4RFtrY6WfTkSuXC1GWSw0zWY11nMPWuioiBPOyYBa0TofdtjZ+owRD0DqRD/c8BG24fJ1Kh6B1IhTueQjacPk6lQ5B60Qo3PMQtOHydSodgtaJUPjnYaENn7GbGkIRtFNm/4h+9eO5VFl+qmVb2EJ7x68X0KrFd7ppa0amzWof2h4D6X+efJCmj5tNXRtL6OG199HswddQoYgSvGLPM1QjfvqLnw1NGygufkbmjKQ88bMwsZAuz72cuoqffQX7NZ/Wc3tNouL/396dBklR5nkc/9M0V3M4HtA2DeKFyyKMXE2LIDIOO7G2BIhuo0sgToTtMTq+ABXHNXAmnNCYQaWNxQsEcVExEEUBYcEVwgMZBEFYcNV11w0CEZHRXW/63noSs7u6uqoyn6Myu+lv8ULpfo6sz/NUVv3Iep7s010O13wuO/+6Q8aP/DvpfHKBd3ub5U89JlP+IdFHD3W/G5F9ifWyVYld9IYOGyWdO3cRtaOe+lmnTp1l6PASr0x9fb3sTuyap3b5HV5yQePYJ2/mUlDQTU45oYsc/t+jsmfXO1JbWyvnjRgt+fnHrpLX1dXKwQP75T8/ZA3tJZPLJS8vL+NrqLqqSja/utZbz1lYVJz1tVZTUy2bNqyWktJxMmjg6XLka9bQsstx05Rhl2N2OdZ5s2YNrY6WXVnW0Gb2Yw1tkw27HDefJ+teXiEjSsbIqX37N7vzBIHW7nzkunZOAu3i5etkx+4PM66RDVpj6/pJ5rK9Vhtot/1Fxg+dKG+8u1GGn1oiDT/Uyb7De+TSEyfLK4dekmH1w6Rf4s/S+qWN4XRR/SKZmTczsTlTJ1lTv0ZK80qlqFdxItDulLrEhksjzi5NrGPtKE/vWCRT//5qKejdU774PwebQhFom01Rbtsjwi7HwWctNoUKNspUgl2Os9uZhkyTETHty+YKbVw77LLLcdMMiWsMMs1RAi2BNtPcINCanNmjr5OTQKuehrpKqx6pV2HVz/d/eljef/2p6J9tDnqMJdBeUCb79u2Uwf3Pk//+nw+lsOupUnO0Sk7p0Fs++uYDGVU7UnY07JAJeRNkU8MmGZX4o66w7k38mdRhkhdWh+UNk+Je/eWpb5fKtP7/KAUn9pTFex+V6RdXSKeCTrLunVUy4oKxcmpRP9m9c1viamdd4urd+YmrfB3l2aWPytRpM6Wgew85cphAmzytwuzoy31og1+IBNpgIwJtsBGB1szINGSa9GbaF4FWX5srtJnNCLQEWgKt/jmlNdXIWaBVT1Jdqa1ctLLZ871yysUZdz9uTTChjyXxldi6Cy+Sr/5preTvqJW6QflSffGx+6DqPho3WFLrUxMbLDXbEVhjzarq11+32uzeq4mv/6q/e/dhVf/fxh+soY13AFlDG68/a2jj9WcNbbz+NoE23iM/PnpnDW2848ga2nj9Ve985Tj+MUg+gpwG2tb1VHN0ND8F2r8+sk46v1ztBcmqyZ29//qPdEG1Q3ViF2B/N2C1uZLaJTjkoz2E1TAUBNowSrkrQ6DNnW2Ylgm0YZRyV4ZAmzvbMC0TaMMo5a4MgTZ3tmFaJtCGUcptGQJtbn11WyfQ6oqllv8p0B5+6V+ly+oayTtYd+w2M4lbzqiHVlBV9Xoeu11Nvdo/qedP/01cTQ26hY3t02iL9Qm08Y4agTZefwJtvP4E2nj9CbTx+hNo4/Un0Mbrr3on0MY/BslHQKC1HI+Ma2glcf/UxJ+8xJ+6hjrJ75Av3ToWSFXDUenV5WdS01AtPbr3kqrao5LfuZN0/1kvqa46mliX2lO+/+4b+fLIF/I3g3/u7aj20Qd7ZfCQYdIxP9/bzfcXEyfJ3j3vyt8OSayh/fhD6VNYlNgpuFpOPqW3/NdH/5HY6bdU1E6jYyf8St7avEHOG1kqdbV18sG+9+RXl14uG9a+IEPOGyV9+50mz/3L443rYZct/me5csb10ilxPBvWvigjRl/AGtqU+VFbWyP/tv6lxHrihE3ffi1mD2toW76gwpik1mINbfCJiTW0wUaZSrApVHY703WtJiNi2pdNoI1rQyI2hWqaIXGNQaY5yhraJhl2OW4+S9gUyuTMHn0dAq2leSybQhFoZcLES4Xb9lRKxU23ZZ3B/o7J3LYnM5PNB6tNG9fI2ecMFm7b0+TLbXu4bY/O2yqBVkfLriybQmX2I9ASaDPNDgKt3XknqtoEWktpAi27HCdPoTBXI9nlOPhFxxXaYCOu0AYbcYXWzMg0ZJr0ZtoXV2j1tQm0BNpJU68KnDhcoeUKbeAkaYUFCLS2g5L4SnDNjJly5KHHbVuivqYAa2g1wRwXZw2tY1DN5lhDqwnmuDhraB2DajZnE2g1u6J4GgHW0MY7LVhDG6+/6p01tPGPQfIREGhtx4NAaytoXJ9Aa0znpCKB1gmjcSMEWmM6JxUJtE4YjRsh0BrTOalIoHXCaNwIgdaYzllFAq0zSicNEWhtGQm0toLG9Qm0xnROKhJonTAaN0KgNaZzUpFA64TRuBECrTGdk4oEWieMxo0QaI3pnFUk0DqjdNIQgdaSkTW0rKFNnkKsoW35ggpjklqLNbTBJybW0AYbZSrBLsfZ7UzXtZqMiGlfNoHWZiM4k+fo12GX4ya9uMYg0/ixKVSTDGtom88SNoWyOetFV5dAa2lNoCXQEmirsr6KCLTpeaqOHpXXX1uXuAXUGOlzal/tMxGBVpussQKBlkDbkCAYOXqs+SQyqEmgJdCGmTb19XXNbp2Yro66Qvv1dz/KujWrvNsIFhYVZ2y6oaFBPv/sgOzcvlXYFEr/vZZAG2bWxl+GQGs5BgRaAi2BlkDLbXuaXgXctofb9ui8rXKFVkfLriy7HGf24wotV2gzzQ4Crd15J6raBFpbadbQ2goa12cNrTGdk4qsoXXCaNwIa2iN6ZxUZA2tE0bjRmy+cmzcKRUbBVhDG+9kYA1tvP6qd9bQxj8GyUdAoLUdDwKtraBxfQKtMZ2TigRaJ4zGjRBojemcVCTQOmE0boRAa0znpCKB1gmjcSMEWmM6ZxUJtM4onTREoLVlJNDaChrXJ9Aa0zmpSKB1wmjcCIHWmM5JRQKtE0bjRgi0xnROKhJonTAaN0KgNaZzVpFA64zSSUMEWktG1tCyhjZ5CoXZAOnpJQukfHqFdO3WLe3sO5TYvGFXYvOGsinTpEPiH0zSPdRaqCcXVkrFTbdlncF+W5dMLpe8vLyMZaurqmTzq2u9DYqybS6hGqipqZZNG1ZLSek4GTTwdDnyNWtoWUPbNLVYQ8saWp23VdbQ6mjZlWUNbWY/1tA22bDLcfN5whpau/NOVLUJtJbSBFoCLYGWQEugJdAqgdraGvn3XQRanbdVAq2Oll1ZAi2Bll2O2eXY7izSemsTaC3HhkBLoCXQEmgJtARaAq3ZmymB1szNpBaBlkBLoCXQmpw72kIdAq3tKLGG1lbQuD5raI3pnFRkDa0TRuNGWENrTOekImtonTAaN8IaWmM6JxVZQ+uE0bgR1tAa0zmryBpaZ5ROGiLQ2jISaG0FjesTaI3pnFQk0DphNG6EQGtM56QigdYJo3EjBFpjOicVCbROGI0bIdAa0zmrSKB1RumkIQKtLSOB1lbQuD6B1pjOSUUCrRNG40YItMZ0TioSaJ0wGjdCoDWmc1KRQOuE0bgRAq0xnbOKBFpnlE4aItBaMrKGljW0yVOIXY5bvqDCmKTW2vjKizJ46Agp7j8g6+7MyfV2bX9bGhI/GDl6rNar2rSe6mTTxjVy9jmDhTW0TeTscsymUDovQNbQ6mjZlWUNbWY/djlusmGX4+bzhF2O7c47UdUm0FpKE2gJtARaNoUi0BJolQC7HOu/oRJo9c1MaxBoCbRsCsWmUKbnj9Zej0BrOUIEWgItgZZAS6Al0BJozd5MCbRmbia1CLQEWgItgdbk3NEW6hBobUcpsYa26q658uWsO21bor6mAGtoNcEcF2cNrWNQzeZYQ6sJ5rg4a2gdg2o2xxpaTTDHxVlD6xhUsznW0GqC5aA4a2hzgGrRJIHWAs+rSqC1FTSuT6A1pnNSkUDrhNG4EQKtMZ2TigRaJ4zGjRBojemcVCTQOmE0boRAa0znrCKB1hmlk4YItLaMBFpbQeP6BFpjOicVCbROGI0bIdAa0zmpSKB1wmjcCIHWmM5JRQKtE0bjRgi0xnTOKhJonVE6aYhAa8nIGlrW0CZPoTA7+j69ZIGUT6+Qrt26pZ19hz47ILu2b5WyKdMSXwDokLaMWgv15MJKqbjptqwz2G/rksnlWXcLrq6qks2vrpXho8ZIYVFx1jZraqpl04bVUlI6TgYNPF2OfM0aWtbQNk0Zdjlml2Odt1XW0Opo2ZVlDW1mP3Y5brJhl+Pm84Rdju3OO1HVJtCGkL5hzoOyZfter+S40UNl4bxbG2sRaAm0BFoCLYGWQKsE2OU4xBtqShECrb6ZaQ0CLYGWTaHYFMr0/NHa6xFoA0bonsplcvDQkcYQq8JtcVFvuXvWTK8mgZZAS6Al0BJoCbQEWrOPOwRaMzeTWgRaAi2BlkBrcu5oC3UItAGjVDbjDrn3dxUyfMhAr+R7+z6Wu/60WNY/8+djNVlDG9s8Zw1tbPRex6yhjdefNbTx+rOGNl5/1tDG688a2nj9WUMbr7/qnTW08Y9B8hEQaLOMx6EvvpKJ02bLa8/Pl6I+J3klW/yMQBvbjCbQxkZPoI2X3uudQBvvIBBo4/Un0MbrT6CN159AG68/gTZ+/9QjINA6CLTyhz+I/P73rW90OSIEEEAAAQQQQAABBBBA4DgWINBaBtpMa2jz8vKkvr7e21lW/Tc/P18KCgrk6NGjcuKJJ0p1dbWccMIJ8uOPP0rnzp2lV69e3u969uwp33zzjXz++ecyfPhwb5fb3bt3y6hRo7w23n77bZk6daps27bN+9m+ffukuLhYqhK71BYWFsrevXtl7Nix8tZbb0lZWZmsXbvW+3tdYlfcd999V6666ipZvny5lJaWyhlnnCEPPfSQXHfddV6/8+bNk1tuucU7HlXmoosuktNOO022bNmS2OykVi688ELp2LGjzJ8/v7HOwYMHvd9PmjRJunfvLql/V7yVlZVy7bXXes9RPdSxq+c6ZswY6dKli3fs6meqX/Uz9VBm6jmo5z9+/PjGUTpw4IDX32WXXSbdknYJVi41NTXec+3UqZNXXh3zJ598Inv27JHy8vIWI/3AAw/IjTfeKD169Gj2OzUmCxYskDlz5rSoo/pYsWKFd0zKJvWhxm7JkiUya9asjDPr/vvvl5tvvtmbD+ke+/fvlzfeeEOuvvrqjLscq/G87777ZO7cuVlPT35bM2bMyLrLsRqPVatWeWPcv3//rG2qubty5UrPIKisaiiMSWqHzz33nJSUlMiZZ56Z9biT6ymzhoYGmTBhgtYp27Se6uSFF16QoUOHyllnneW9PnUeap69/PLLnnm/fv10qjaW/fbbb+WJJ56Q2bNnG9X3X2vqdeKfH4wb+qmiet2q+emfL2zb27p1q3e+TH5t27aZ6Txi2646P6jjVXNBHa/rR7pzpes+VHvK580335QrrrhCunbtmosuGtuMsi+/U5vXvA3GDz/8II888ojcfvvtNs0Y11WvS/Xers7dAwYMMG7HRcW4xiDTsX/33Xfy+OOPy223Zb9zgIvnHtSGP07+Z7BM5cO+F6v3Rf+zwDXXXBPUvfeZTH3Ou/POOwPLqgKffvqp93ltypQpGT/XpDakxl891HMM+zAdo++//977LDxu3Dij99ply5Y1vmYy3Xki7HOgXO4ECLQBtkFraNkUik2hkqcQt+1p+YIKY5Jaa+MrL8rgoSOkuP+A0IF21/a3pSHR0MjRekHCtJ465k0b18jZ5wwWNoVqGkFu28Nte3Q+srAplI6WXVk2hcrsx217mmy4bU/zecJte+zOO1HVJtAGSLPLcT/ZvXObd8Vl+KjzE+Giozy79FGZOm2mFHTvIUcOE2gJtOxyTKAl0CoBbtuj/9GFQKtvZlqDQEugZZdjdjk2PX+09noE2hAjlO0+tKr6tz/UyLc/1oZoiSIuBdgUyqWmflvscqxv5rIGm0K51NRvi02h9M1c1mBTKJea+m2xKZS+mcsabArlUtOsLXY5NnPLVS0CrQNZAq0DRIMmCLQGaA6rEGgdYho0RaA1QHNYhUDrENOgKQKtAZrDKgRah5gGTRFoDdAcVyHQOga1bI5AawmoqhNoHSAaNEGgNUBzWIVA6xDToCkCrQGawyoEWoeYBk0RaA3QHFYh0DrENGiKQGuA5rgKgdYxqGVzBFpLQDaFYg1t8hQKswHS00sWSPn0CumatEtzchuHPjsgu7ZvlbIp0zLucqzWQj25sFIqbsq+I6Pf1iWTy7NurlSd2NVw86trE+ukx0hhUXHWV0VNTbVs2rBaSkrHyaCBp8uRr1lDyxrapinDplBsCqXztsoaWh0tu7Ksoc3sx6ZQTTZsCtmF71oAAAzeSURBVNV8nrAplN15J6raBFpLaQItgZZAS6Al0BJolQCbQum/oRJo9c1MaxBoCbRsCsWmUKbnj9Zej0BrOUIEWgItgZZAS6Al0BJozd5MCbRmbia1CLQEWgItgdbk3NEW6hBo28IocYwIIIAAAggggAACCCCAAAItBAi0TAoEEEAAAQQQQAABBBBAAIE2KUCgbZPDxkEjgAACCCCAAAIIIIAAAggQaJkDCCCAAAIIIIAAAggggAACbVKAQGsxbDfMeVC2bN/rtTBu9FBZOO9Wi9aoqgR0TbOVX7x8nVQuWtkC9v3XnwI7pIDueKhm1296Rx5eukrWP/PnkL1QzBdw6c38t59XOuNxT+UyWbF6c2OnvCfo+7v0Zv7r+6fW0BmPVG/mv76/S2/mv76/zfxPrqs+A93+x8fkmYfvkuFDBtofCC2EEiDQhmJqWUh9eDl46EhjiFUnouKi3nL3rJmGLVJN1zSovDqh79j9If/QYDi1gnxTm31v38cy47f3ej8e0K+QQKvp7tqb+a85ACnFdcejbMYdzea8+vvlZeOlYvqldgfSTmq79mb+200c3fFQn4GS/1Gfz0R6/q69mf96/qmldcfDr+//g/7+Tw8TaO2GQLs2gVab7FgF9WHl3t9VNP7ri/owf9efFvMh3tDTxDRoDDihWwyGxRznCq2Ze9B8ztRqJm/mv9k4+LVMx8Ovj7+ev2tv/PX8U0u7Hg+7ozn+a7v2Zv7bzRmT8Uh+Lz53wq8JtHZDoF2bQKtNJnLoi69k4rTZ8trz86Woz0leC+l+ZtB0u62iaxqmfOpXbrhqGH56hfHVDVjhe29/JXPhzfw3n0c24+H3qq5QlQwbxBXaEMOQC2/mfwj4DEVcjIcKBOePPJdvrYUYhlx4M/9DwDuc/6n/sEygNfc3rUmgNZBzcfIx6Pa4rqJrqlte4akPmOrBWufgqWTi67fKFdpg39QSUXgz/8OPi814qF78D5Os1w9nHoU38z/cWKhSNuOhgqz6uiVraFuXN/M/d+OR7jMPgTa8t6uSBFoDSZuTvUF37aKKrqlueYXor/HkQ2bwlDLxJdAGu2YqEYU38z/8+NiOh9oQJPkbPOF7bp8lo/Bm/oefWzbj4feSugYxfO/tr2QU3sz/8PNKdzxSNwRM7un+ub+Rsl+Whu+cksYCBFpDOpPv1xt21W6q6ZrqlueErjeVdH0JtHq+qaVz7c381xsfk/HgyqyecXLpXHsz//XGxmQ8knvAu3V5Mx7RjgdXaPW8XZQm0Boqmu6AZthdu6gWZJr6lZmg8ul2HWVNT/ipFOSb6StMfOU4vHFySdfezH+zcch0hSl119bU+c9X+lqXN/M/2vFI9eb1oOeve/4P8mb+6/mnltYdj9T6BFo7f5PaBFoTtZ/q6NwzzKKbdlU1m2m6N8ig8v59ghXilVMuZoMKzdkU5Kua89ckJ9+2x+9m1vXlbIqjYe7SO7kt5r/GICQVDTse/lfU0vXCvQjD27v0Zv6Hd89UMux4qPqp3qyh1fd36c381/dPraEzHgRae2/bFgi0toLURwABBBBAAAEEEEAAAQQQiEWAQBsLO50igAACCCCAAAIIIIAAAgjYChBobQWpjwACCCCAAAIIIIAAAgggEIsAgTYWdjpFAAEEEEAAAQQQQAABBBCwFSDQ2gpSHwEEEEAAAQQQQAABBBBAIBYBAm0s7HSKAAIIIIAAAggggAACCCBgK0CgtRWkPgIIIIAAAggggAACCCCAQCwCBNpY2OkUAQQQQAABBBBAAAEEEEDAVoBAaytIfQQQQAABBBBAAAEEEEAAgVgECLSxsNMpAggggAACCCCAAAIIIICArQCB1laQ+ggggAACCCCAAAIIIIAAArEIEGhjYadTBBBAAAEEEEAAAQQQQAABWwECra0g9RFAAAEEEEAAAQQQQAABBGIRINDGwk6nCCCAAAIIIIAAAggggAACtgIEWltB6iOAAAIIIIAAAggggAACCMQiQKCNhZ1OEUAAAQQQQAABBBBAAAEEbAUItLaC1EcAAQQQQAABBBBAAAEEEIhFgEAbCzudIoAAAggggAACCCCAAAII2AoQaG0FqY8AAggggAACCCCAAAIIIBCLAIE2FnY6RQABBBDwBdZvekdu/+NjLUDun/sbKftlqZTNuMP73fpn/tyijPpd/759ZOG8W4+VCWjr3Am/zgo/oF+h1889lctkxerNacs+8/BdMnzIQLlhzoOyZfte8f/uF35v38cy47f3yrjRQxuPK7WhMMdxedl4qVy0srHqrOvLpWL6pVr9hnkezEQEEEAAAQTasgCBti2PHseOAAIItHEBP3C99vx8KepzUuOzUcF09cYtjYFQBcArp1wsd8+a2Vhm8fJ1smr9m41BN2xbqcEzNZCq36u2Dh46kjGQqjJ+oE09Lv/n2QJt8rD5ATjdcaT7nU6/YZ5HG59CHD4CCCCAQDsXINC28wnA00cAAQTiFFBB1b/ymO04UoPdoS++konTZje7Ohq2LZeBtriot3cl1w/k/nGpkBsUiMMcR6ZAG7ZfAm2cs5u+EUAAAQSiECDQRqFMHwgggAACaQVSvzKcjUmFs2073/euyKqrlCrUJV+x1WlL9ZPtymiYIKiOoWTYIPns8JfSt/Bk7+vA6qqxeqif5TLQhu03zPNgaiKAAAIIINCWBQi0bXn0OHYEEECgjQv4oTL5aaT76q3/++S1p++//lSzZ6/bVlCgDbOGVgXLkT8/x1szq45HHZ+6WvvEs6/kPNCG6Zc1tG38BcLhI4AAAggEChBoA4kogAACCCAQhUBq+Er3VWQ/hPobRmU6Lp22bNbQqkDrb9SkjsW/aqxzZdRkDW3YfnWOI4oxpg8EEEAAAQRcCxBoXYvSHgIIIICAtYD66q7a4Tf1Kmy6tbNBnWVqK+gKbdBXhv2vHKtA6++u7IdjnSBpE2iD+tU5jiBHfo8AAggggEBrFCDQtsZR4ZgQQACBdiCgwum61/7iXeFMffhBLXX340yB1qQtl4FWHb9aw+vfWkgnSNoE2qB+dY6jHUw5niICCCCAwHEoQKA9DgeVp4QAAgi0BQE/nKpjTb0Sm+42PapctkCrdj3Wact1oE021wmStoE2W786x9EW5gzHiAACCCCAQKoAgZY5gQACCCAQq0DyRk/+gWRaIxv0lWOdtoICbdhNodJdYdYJkpmOw/+qtG/irylO/qpz6sCl9sumULFObTpHAAEEEIhAgEAbATJdIIAAAggggAACCCCAAAIIuBcg0Lo3pUUEEEAAAQQQQAABBBBAAIEIBAi0ESDTBQIIIIAAAggggAACCCCAgHsBAq17U1pEAAEEEEAAAQQQQAABBBCIQIBAGwEyXSCAAAIIIIAAAggggAACCLgXINC6N6VFBBBAAAEEEEAAAQQQQACBCAQItBEg0wUCCCCAAAIIIIAAAggggIB7AQKte1NaRAABBBBAAAEEEEAAAQQQiECAQBsBMl0ggAACCCCAAAIIIIAAAgi4FyDQujelRQQQQAABBBBAAAEEEEAAgQgECLQRINMFAggggAACCCCAAAIIIICAewECrXtTWkQAAQQQQAABBBBAAAEEEIhAgEAbATJdIIAAAggggAACCCCAAAIIuBcg0Lo3pUUEEEAAAQQQQAABBBBAAIEIBAi0ESDTBQIIIIAAAggggAACCCCAgHsBAq17U1pEAAEEEEAAAQQQQAABBBCIQIBAGwEyXSCAAAIIIIAAAggggAACCLgXINC6N6VFBBBAAAEEEEAAAQQQQACBCAQItBEg0wUCCCCAAAIIIIAAAggggIB7AQKte1NaRAABBBBAAAEEEEAAAQQQiECAQBsBMl0ggAACCCCAAAIIIIAAAgi4FyDQujelRQQQQAABBBBAAAEEEEAAgQgECLQRINMFAggggAACCCCAAAIIIICAewECrXtTWkQAAQQQQAABBBBAAAEEEIhAgEAbATJdIIAAAggggAACCCCAAAIIuBcg0Lo3pUUEEEAAAQQQQAABBBBAAIEIBAi0ESDTBQIIIIAAAggggAACCCCAgHsBAq17U1pEAAEEEEAAAQQQQAABBBCIQIBAGwEyXSCAAAIIIIAAAggggAACCLgXINC6N6VFBBBAAAEEEEAAAQQQQACBCAQItBEg0wUCCCCAAAIIIIAAAggggIB7AQKte1NaRAABBBBAAAEEEEAAAQQQiECAQBsBMl0ggAACCCCAAAIIIIAAAgi4FyDQujelRQQQQAABBBBAAAEEEEAAgQgECLQRINMFAggggAACCCCAAAIIIICAewECrXtTWkQAAQQQQAABBBBAAAEEEIhAgEAbATJdIIAAAggggAACCCCAAAIIuBcg0Lo3pUUEEEAAAQQQQAABBBBAAIEIBP4fqjVE+v4z4LAAAAAASUVORK5CYII=",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# The full reaction of E and ES\n",
"uc.plot_history(chemicals=['E', 'ES'], show_intervals=True, \n",
" title_prefix=f\"E and ES when E0 = {E_init}\")"
]
},
{
"cell_type": "code",
"execution_count": 38,
"id": "ee454fdd-62fa-48d3-ac1c-b967279bd1e1",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" SYSTEM TIME | \n",
" E | \n",
" ES | \n",
" P | \n",
"
\n",
" \n",
" \n",
" \n",
" | 866 | \n",
" 0.400158 | \n",
" 0.409128 | \n",
" 0.590872 | \n",
" 16.1715 | \n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" SYSTEM TIME E ES P\n",
"866 0.400158 0.409128 0.590872 16.1715"
]
},
"execution_count": 38,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"uc.get_history(columns=['SYSTEM TIME', 'E', 'ES', 'P'], tail=1) # Last point in the simulation"
]
},
{
"cell_type": "code",
"execution_count": 39,
"id": "264292b6-4ba1-4c36-8ea7-29472756a879",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"16.171500029051185"
]
},
"execution_count": 39,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"P_equil = uc.get_chem_conc(\"P\")\n",
"P_equil"
]
},
{
"cell_type": "markdown",
"id": "97f3ff27-4e2f-4af9-b9f6-ad8e44d6e10a",
"metadata": {},
"source": [
"#### P_equil continues to decrease with increasing initial [E]"
]
},
{
"cell_type": "code",
"execution_count": 40,
"id": "ceee7058-2661-4259-a2e6-0bd6732cc2ac",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"11.32005002033583"
]
},
"execution_count": 40,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"P_70_threshold = P_equil * 0.70\n",
"P_70_threshold"
]
},
{
"cell_type": "code",
"execution_count": 41,
"id": "6b0b5166-ba0c-4b15-a632-84362fbdcd5c",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.08364939325100468"
]
},
"execution_count": 41,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"uc.reach_threshold(chem=\"P\", threshold=P_70_threshold)"
]
},
{
"cell_type": "markdown",
"id": "c295cb25-41de-4405-83ee-0a5e5db0d304",
"metadata": {},
"source": [
"#### The time at which we reach the 70% threshold of the equilibrium value of P continues to decrease with increasing initial [E]"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "cd775a94-b7c3-4c2b-9da2-4bfacd53fa26",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"id": "bd7d5617-cf3c-4c03-bd77-9ccfcb12dc4c",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "markdown",
"id": "2d43197e-eef6-4ea2-a489-ca6ed165b024",
"metadata": {
"tags": []
},
"source": [
"# 4. Keep increasing the initial [E]"
]
},
{
"cell_type": "code",
"execution_count": 42,
"id": "0b2f4582-ea90-41fe-b69a-c565738e4344",
"metadata": {},
"outputs": [],
"source": [
"E_init = 2.0 # 1/10 of the initial [S]"
]
},
{
"cell_type": "code",
"execution_count": 43,
"id": "fb3ca78d-c024-47b9-be04-5c74d7213727",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"SYSTEM STATE at Time t = 0:\n",
"4 species:\n",
" Species 0 (S). Conc: 20.0\n",
" Species 1 (E). Conc: 2.0\n",
" Species 2 (ES). Conc: 0.0\n",
" Species 3 (P). Conc: 0.0\n",
"Set of chemicals involved in reactions: {'ES', 'E', 'S', 'P'}\n"
]
}
],
"source": [
"uc = UniformCompartment(reactions=rxns, preset=\"slower\") # A brand-new simulation, with the same chemicals and reactions as before\n",
"\n",
"uc.set_conc(conc={\"S\": 20., \"E\": E_init}) \n",
"uc.describe_state()"
]
},
{
"cell_type": "code",
"execution_count": 44,
"id": "9336e30c-950b-4bc6-844a-68c3653b0244",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"818 total variable step(s) taken in 0.03 min\n",
"Number of step re-do's because of elective soft aborts: 1\n",
"Norm usage: {'norm_A': 812, 'norm_B': 816, 'norm_C': 812, 'norm_D': 812}\n",
"System Time is now: 0.20175\n"
]
}
],
"source": [
"# Perform the reactions (The duration of the run was manually adjusted for optimal visibility)\n",
"uc.single_compartment_react(duration=0.2,\n",
" initial_step=0.00005)"
]
},
{
"cell_type": "code",
"execution_count": 45,
"id": "76f54bfa-0189-4712-b676-667adb514a8c",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"True"
]
},
"execution_count": 45,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Verify that the reactions have reached equilibrium\n",
"uc.is_in_equilibrium(verbose=False)"
]
},
{
"cell_type": "code",
"execution_count": 46,
"id": "502e0b54-b059-46d6-830d-b06199c1e666",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"plot_pandas() NOTICE: Excessive number of vertical lines (819) - only showing 1 every 6 lines\n"
]
},
{
"data": {
"application/vnd.plotly.v1+json": {
"config": {
"plotlyServerURL": "https://plot.ly"
},
"data": [
{
"hovertemplate": "Chemical=S
SYSTEM TIME=%{x}
Concentration=%{y}",
"legendgroup": "S",
"line": {
"color": "cyan",
"dash": "solid"
},
"marker": {
"symbol": "circle"
},
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"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"uc.plot_history(show_intervals=True, \n",
" title_prefix=f\"E0 = {E_init}\")"
]
},
{
"cell_type": "code",
"execution_count": 47,
"id": "c5bb9972-79ba-43db-a0de-66d9495bcef4",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(0.033892638379102225, 9.277504597225233)"
]
},
"execution_count": 47,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Locate the intersection of the curves for [S] and [P]:\n",
"uc.curve_intersect(\"S\", \"P\", t_start=0, t_end=0.4)"
]
},
{
"cell_type": "markdown",
"id": "ddf4a727-1fdc-4b61-953a-d582cda053ce",
"metadata": {},
"source": [
"The timescale of [S] and [P] continues to become faster with a higher initial [E]"
]
},
{
"cell_type": "code",
"execution_count": 48,
"id": "cab73b69-81c6-48cf-be12-73ddd0e9a4d2",
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.plotly.v1+json": {
"config": {
"plotlyServerURL": "https://plot.ly"
},
"data": [
{
"hovertemplate": "Chemical=E
SYSTEM TIME=%{x}
Concentration=%{y}",
"legendgroup": "E",
"line": {
"color": "violet",
"dash": "solid"
},
"marker": {
"symbol": "circle"
},
"mode": "lines",
"name": "E",
"showlegend": true,
"type": "scattergl",
"x": [
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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"#The very early part of the reaction\n",
"uc.plot_history(chemicals=['E', 'ES', 'P'],\n",
" title_prefix=f\"Detail when E0 = {E_init}\", range_x=[0, 0.002], range_y=[0, 2.])"
]
},
{
"cell_type": "code",
"execution_count": 49,
"id": "1614dba7-9e08-4e15-859c-474ef8e219f6",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"plot_pandas() NOTICE: Excessive number of vertical lines (819) - only showing 1 every 6 lines\n"
]
},
{
"data": {
"application/vnd.plotly.v1+json": {
"config": {
"plotlyServerURL": "https://plot.ly"
},
"data": [
{
"hovertemplate": "Chemical=E
SYSTEM TIME=%{x}
Concentration=%{y}",
"legendgroup": "E",
"line": {
"color": "violet",
"dash": "solid"
},
"marker": {
"symbol": "circle"
},
"mode": "lines",
"name": "E",
"showlegend": true,
"type": "scattergl",
"x": [
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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Show the full reaction of E and ES\n",
"uc.plot_history(chemicals=['E', 'ES'], show_intervals=True, \n",
" title_prefix=f\"E and ES when E0 = {E_init}\")"
]
},
{
"cell_type": "code",
"execution_count": 50,
"id": "03807baf-28a8-45ad-a31a-53003a13d02e",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" SYSTEM TIME | \n",
" E | \n",
" ES | \n",
" P | \n",
"
\n",
" \n",
" \n",
" \n",
" | 818 | \n",
" 0.201753 | \n",
" 0.832849 | \n",
" 1.167151 | \n",
" 15.691155 | \n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" SYSTEM TIME E ES P\n",
"818 0.201753 0.832849 1.167151 15.691155"
]
},
"execution_count": 50,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"uc.get_history(columns=['SYSTEM TIME', 'E', 'ES', 'P'], tail=1) # Last point in the simulation"
]
},
{
"cell_type": "code",
"execution_count": 51,
"id": "5d28e797-ebb8-480a-bdcf-13880757b32b",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"15.69115548729148"
]
},
"execution_count": 51,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"P_equil = uc.get_chem_conc(\"P\")\n",
"P_equil"
]
},
{
"cell_type": "markdown",
"id": "797a8ab4-d051-4e92-bf1b-e1e148de6ca4",
"metadata": {},
"source": [
"#### P_equil continues to decrease with increasing initial [E]"
]
},
{
"cell_type": "code",
"execution_count": 52,
"id": "94b8d506-9225-4c18-b618-2b87e9d48a3a",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"10.983808841104036"
]
},
"execution_count": 52,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"P_70_threshold = P_equil * 0.70\n",
"P_70_threshold"
]
},
{
"cell_type": "code",
"execution_count": 53,
"id": "968136e5-5497-4e3b-8a2b-25b02d7e9ad7",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.04311547431679562"
]
},
"execution_count": 53,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"uc.reach_threshold(chem=\"P\", threshold=P_70_threshold)"
]
},
{
"cell_type": "markdown",
"id": "78dd47e8-668a-44f2-a770-f7cff871915b",
"metadata": {},
"source": [
"#### The time at which we reach the 70% threshold of the equilibrium value of P continues to decrease with increasing initial [E]"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "3af50933-541a-4e48-b6de-69fdbf82a5cf",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"id": "ba756ea7-7e7b-4a9b-a847-c9b12975b667",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "markdown",
"id": "1a2e3c92-4ce0-4d3b-bb89-113fe3eabbc1",
"metadata": {
"tags": []
},
"source": [
"# 5. Keep increasing the initial [E]"
]
},
{
"cell_type": "code",
"execution_count": 54,
"id": "30fb7ef6-0dcd-4063-bf6b-5e69e6a9a81e",
"metadata": {},
"outputs": [],
"source": [
"E_init = 10.0 # 1/2 of the initial [S]"
]
},
{
"cell_type": "code",
"execution_count": 55,
"id": "4353621a-ac88-4cd3-a3b2-fec1bbf592f4",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"SYSTEM STATE at Time t = 0:\n",
"4 species:\n",
" Species 0 (S). Conc: 20.0\n",
" Species 1 (E). Conc: 10.0\n",
" Species 2 (ES). Conc: 0.0\n",
" Species 3 (P). Conc: 0.0\n",
"Set of chemicals involved in reactions: {'ES', 'E', 'S', 'P'}\n"
]
}
],
"source": [
"uc = UniformCompartment(reactions=rxns, preset=\"slower\") # A brand-new simulation, with the same chemicals and reactions as before\n",
"\n",
"uc.set_conc(conc={\"S\": 20., \"E\": E_init}) \n",
"uc.describe_state()"
]
},
{
"cell_type": "code",
"execution_count": 56,
"id": "6e3b51d3-31c8-4d55-90b6-c54275ebf914",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"836 total variable step(s) taken in 0.03 min\n",
"Number of step re-do's because of elective soft aborts: 2\n",
"Norm usage: {'norm_A': 834, 'norm_B': 838, 'norm_C': 834, 'norm_D': 834}\n",
"System Time is now: 0.050265\n"
]
}
],
"source": [
"# Perform the reactions (The duration of the run was manually adjusted for optimal visibility)\n",
"uc.single_compartment_react(duration=0.05,\n",
" initial_step=0.00005)"
]
},
{
"cell_type": "code",
"execution_count": 57,
"id": "a8169cc9-fa96-4388-bdbd-3672c6e9fa59",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"True"
]
},
"execution_count": 57,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Verify that the reactions have reached equilibrium\n",
"uc.is_in_equilibrium(verbose=False)"
]
},
{
"cell_type": "code",
"execution_count": 58,
"id": "a4246902-f175-42db-9658-8eb630bb03c2",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"plot_pandas() NOTICE: Excessive number of vertical lines (837) - only showing 1 every 6 lines\n"
]
},
{
"data": {
"application/vnd.plotly.v1+json": {
"config": {
"plotlyServerURL": "https://plot.ly"
},
"data": [
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"hovertemplate": "Chemical=S
SYSTEM TIME=%{x}
Concentration=%{y}",
"legendgroup": "S",
"line": {
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"dash": "solid"
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"symbol": "circle"
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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"uc.plot_history(show_intervals=True, \n",
" title_prefix=f\"E0 = {E_init}\")"
]
},
{
"cell_type": "code",
"execution_count": 59,
"id": "cea4cabc-470c-4830-ab70-f05d4176b189",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(0.005877353573479905, 6.680399989705835)"
]
},
"execution_count": 59,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Locate the intersection of the curves for [S] and [P]:\n",
"uc.curve_intersect(\"S\", \"P\", t_start=0, t_end=0.05)"
]
},
{
"cell_type": "markdown",
"id": "7e911332-dbd3-4f05-bda5-1d902d515156",
"metadata": {},
"source": [
"#### The timescale of [S] and [P] continues to become faster with a higher initial [E] -- **AND THEY'RE NOW APPROACHING THE TIMESCALES OF E AND ES**"
]
},
{
"cell_type": "code",
"execution_count": 60,
"id": "11c4c99b-cc15-488e-ba6a-f8aacd80ed67",
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.plotly.v1+json": {
"config": {
"plotlyServerURL": "https://plot.ly"
},
"data": [
{
"hovertemplate": "Chemical=E
SYSTEM TIME=%{x}
Concentration=%{y}",
"legendgroup": "E",
"line": {
"color": "violet",
"dash": "solid"
},
"marker": {
"symbol": "circle"
},
"mode": "lines",
"name": "E",
"showlegend": true,
"type": "scattergl",
"x": [
0,
5e-05,
5.025e-05,
5.0375000000000005e-05,
5.050125000000001e-05,
5.0628762500000006e-05,
5.0757550125000006e-05,
5.088762562625001e-05,
5.1019001882512505e-05,
5.115169190133763e-05,
5.1285708820351e-05,
5.142106590855451e-05,
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"radialaxis": {
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},
"scene": {
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"gridwidth": 2,
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},
"shapedefaults": {
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"ternary": {
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"title": {
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"xaxis": {
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"title": {
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"title": {
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}
},
"title": {
"text": "Detail when E0 = 10.0
Changes in concentrations for 3 reactions"
},
"xaxis": {
"anchor": "y",
"domain": [
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"range": [
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"title": {
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},
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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# The very early part of the reaction\n",
"uc.plot_history(chemicals=['E', 'ES', 'P'], \n",
" title_prefix=f\"Detail when E0 = {E_init}\", range_x=[0, 0.002], range_y=[0, 10.])"
]
},
{
"cell_type": "code",
"execution_count": 61,
"id": "9ceee775-6449-419f-bb39-b42f5fbd5803",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"plot_pandas() NOTICE: Excessive number of vertical lines (837) - only showing 1 every 6 lines\n"
]
},
{
"data": {
"application/vnd.plotly.v1+json": {
"config": {
"plotlyServerURL": "https://plot.ly"
},
"data": [
{
"hovertemplate": "Chemical=E
SYSTEM TIME=%{x}
Concentration=%{y}",
"legendgroup": "E",
"line": {
"color": "violet",
"dash": "solid"
},
"marker": {
"symbol": "circle"
},
"mode": "lines",
"name": "E",
"showlegend": true,
"type": "scattergl",
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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# The full reaction of E and ES\n",
"uc.plot_history(chemicals=['E', 'ES'], show_intervals=True, \n",
" title_prefix=f\"E and ES when E0 = {E_init}\")"
]
},
{
"cell_type": "markdown",
"id": "1f97da50-3764-4be6-bdef-ae5eef24a37d",
"metadata": {},
"source": [
"#### Notice that at these higher initial concentrations of [E], we're now beginning to see overshoots in [E] and [ES]"
]
},
{
"cell_type": "code",
"execution_count": 62,
"id": "c7d3f38c-331b-47f2-9ae0-31531c62c7e2",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" SYSTEM TIME | \n",
" E | \n",
" ES | \n",
" P | \n",
"
\n",
" \n",
" \n",
" \n",
" | 836 | \n",
" 0.050265 | \n",
" 4.765697 | \n",
" 5.234303 | \n",
" 12.304598 | \n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" SYSTEM TIME E ES P\n",
"836 0.050265 4.765697 5.234303 12.304598"
]
},
"execution_count": 62,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"uc.get_history(columns=['SYSTEM TIME', 'E', 'ES', 'P'], tail=1) # Last point in the simulation"
]
},
{
"cell_type": "code",
"execution_count": 63,
"id": "38c003d2-e007-4c47-9c91-3fb6c2a626ea",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"12.304597774138907"
]
},
"execution_count": 63,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"P_equil = uc.get_chem_conc(\"P\")\n",
"P_equil"
]
},
{
"cell_type": "markdown",
"id": "04f9845c-4a0d-4309-acd6-46fcc1d59136",
"metadata": {},
"source": [
"#### P_equil continues to decrease with increasing initial [E]"
]
},
{
"cell_type": "code",
"execution_count": 64,
"id": "51356bd2-f34f-4189-8f39-c11804c6062c",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"8.613218441897235"
]
},
"execution_count": 64,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"P_70_threshold = P_equil * 0.70\n",
"P_70_threshold"
]
},
{
"cell_type": "code",
"execution_count": 65,
"id": "f40ab9f2-a1fe-46a0-b755-9e2dd332ce9f",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.008274545666098492"
]
},
"execution_count": 65,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"uc.reach_threshold(chem=\"P\", threshold=P_70_threshold)"
]
},
{
"cell_type": "markdown",
"id": "319960a1-b1b3-4237-87b2-f634420acec9",
"metadata": {},
"source": [
"#### The time at which we reach the 70% threshold of the equilibrium value of P continues to decrease with increasing initial [E]"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "e69e2707-5dfa-465f-9842-64f796c55dac",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"id": "903586d5-e021-4536-bc32-987df21b2e69",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "markdown",
"id": "e813f05f-1cbb-4b9e-8bc3-9902ba313445",
"metadata": {
"tags": []
},
"source": [
"# 6. Keep increasing the initial [E]"
]
},
{
"cell_type": "code",
"execution_count": 66,
"id": "70c6943f-9deb-4ec0-89eb-382c9728e889",
"metadata": {},
"outputs": [],
"source": [
"E_init = 20.0 # Same as the initial [S]"
]
},
{
"cell_type": "code",
"execution_count": 67,
"id": "0e1fec6a-0cca-4ca7-b54e-340fbef124d8",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"SYSTEM STATE at Time t = 0:\n",
"4 species:\n",
" Species 0 (S). Conc: 20.0\n",
" Species 1 (E). Conc: 20.0\n",
" Species 2 (ES). Conc: 0.0\n",
" Species 3 (P). Conc: 0.0\n",
"Set of chemicals involved in reactions: {'ES', 'E', 'S', 'P'}\n"
]
}
],
"source": [
"uc = UniformCompartment(reactions=rxns, preset=\"slower\") # A brand-new simulation, with the same chemicals and reactions as before\n",
"\n",
"uc.set_conc(conc={\"S\": 20., \"E\": E_init}) \n",
"uc.describe_state()"
]
},
{
"cell_type": "code",
"execution_count": 68,
"id": "27e46b9b-802e-4de5-b549-062ba7a4866b",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"757 total variable step(s) taken in 0.03 min\n",
"Number of step re-do's because of elective soft aborts: 2\n",
"Norm usage: {'norm_A': 743, 'norm_B': 746, 'norm_C': 742, 'norm_D': 742}\n",
"System Time is now: 0.020147\n"
]
}
],
"source": [
"# Perform the reactions (The duration of the run was manually adjusted for optimal visibility)\n",
"uc.single_compartment_react(duration=0.02, \n",
" initial_step=0.00005)"
]
},
{
"cell_type": "code",
"execution_count": 69,
"id": "4b74d93a-54a3-4c96-88d8-b9c4fcc34059",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"True"
]
},
"execution_count": 69,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Verify that the reactions have reached equilibrium\n",
"uc.is_in_equilibrium(verbose=False)"
]
},
{
"cell_type": "code",
"execution_count": 70,
"id": "cec660e7-1c5c-4215-9501-1abd52f96df9",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"plot_pandas() NOTICE: Excessive number of vertical lines (758) - only showing 1 every 6 lines\n"
]
},
{
"data": {
"application/vnd.plotly.v1+json": {
"config": {
"plotlyServerURL": "https://plot.ly"
},
"data": [
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"hovertemplate": "Chemical=S
SYSTEM TIME=%{x}
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"line": {
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RXmZq+1g9JuS5M0/OJ62nfJ6Hjh4PWyVlNFYaU9BGGlORXi5JFwr1WJNjykrf2JnHza4xOe6M+tDqPGV0jWrrt/qy2sp8JpnZvVdB0NoXDTgCBLxKoMkIWrtLjrX59cSnfGjQ831SBzexelOJJJq1k7ueH4h6EKmXwhr55FjZosRtQWvFkhsp2qnW4m71phepTMlNz2dOe2FKwRdrQSvbol3S7MQCbIer1TEr+ej5glp5gaJ3Pnba6aagjfRgrh0HkerVY6E+Xs4X6utSbYXQnr+VsWtH0NrhG69x4CVBa2dutSJqZR47LzkjPRDIe1OkB3ntdeXkHqA3L+otGbZioTUL/KUuV70Mnc+HE+9zqxaxXN7Y7w8NC/DmRUEbyZKrba+dud+sb6xev0bjQz0O5bgz6sPGErR27tt8PnbuVRC0XpUmaBcI2Cfge0Frx1+U8Vi9Adh5K221TDuC1sznLFJXyxuAlf1l3Ra0VkSDlTeuZpZqJxZaK0Is1oI2FuXb4Wp1zOqNM/XDkdlLEy9ZaOXYtHJdOLXicV1WX8ZYfVA0s7BYEUJWXRusvJiyOw5iveTYroXWbOzauZ3KcS6t82YWWiurHSKVYebWYeceoD1P7bnYuRfasdCqLdL/8cd5dNuPxynLtdXLjEdd/0vSztd+F7R25n6zvrEzj+utHtEb414TtNqVC3auS7M5CoLWDk3kBQFvE/C9oGW8cilhJKHCExe//bV6A4j0QGfVJyuSnxAvF1Ynqw+a2uHEN/9O+e3Cgs5IJkbLItVlxELQGt2w1T5mVn38rIqCSA9dzGjYgB5KUCiz5dCSjZ2HDq1PtSwj0gOp0UODngC0U75VrnaugwVLVjXYAseq5bQxfGiNrgk7L78inZ/Tc7fj/60eu34eB2Yv6Oycm1XhanQtW32BYHTrlvcS7ffqay+SP7WZGLUyf6jrcnIPsHIudgStXf9LPg8Z4V/rZqH3uZ22GPWfXv/bme/1yo20KkI7J1ud+630jdV53M4zgdGcbee6iZcPrbov+Jqze6+yukzd24/xaB0IgAATaBKClk9ELjMx2npHWmXs3ACMopZy6Ho7y8vMIvPJNvF5qJcmyhuLVqjzzZO3HGKBLm+k6jrsPLjHQtDK89HbqkD2j3zw0YsKrRf52ErgCL0ytUFF9Hgxd2bG2wLJoCB2HnCieQCQx+j1N7dH/XBnp3yrXK1eB3qRMeX1xv87jXIcbf9Hmr6N+lj6wluxzJmJVjnfaMvivpKRvGU71OeoXj6nN8718sox4udxYPYwbOfcnApaHjtW5tZIgpa3e1P3n15fGz0sG11T8rqSEdklM601V77A1fpaRnMP0OOgdy52rKKcVy86vN7KCHkuRtv66B1jpy16fRgLQWs0J8p5Qn1+Vud+K31jdR6X9zi2eBttLybHnd7zg9rSacW9y21Ba+W+bfdeZWUVCmQCCICAfwg0GUHLyI18LdQPHnZuAGqhLLuUHy5Z+ETjQyvL0LaTbzADendT9inVPiBbOSe9oDNWlrRxe2IhaOV5SgEh/zbaZ1F9uUTah5YtrFqGWrGvfjkg82rzGPkTqdtnR9Bqx4l8mLP6EC/byQ8Kcm9k7ThQ+wWZla/HQMvVznWgV56VZbtq4aAnIq2000xYGk21Zr5nZlO0lXqNfDHV56pth3ovz2jGrl/HgbxG1POmtg+snpsbgtbq/cJonOgFczObZ8z2oeW69F6Uyv0/ZVv09jF2cg+wci52RaS2TKMov9qYCfIcjcS83j1LHmPV2hYrQWv0vMAi0kiwm839Zn1jZx5Xc1Lv564dd/y39h7JY07u+9wYglavTXrPFXbuVVbmeLP7BL4HARDwDoEmJWi9g9V+S+DLYZ8ZjgABEPAPAavBr/xzRrFtqdkLsdjWjtJBoOkSsLOKrelSwJmBQNMiAEEb5/7ULm3l6vHgEudOQHUgAAKNQkC7XLZRGuGTSnFf8ElHoZm+I4B5yHddhgaDgCkBCFpTRO5mMFruaiXyrrstQWkgAAIgEF8CRlsZxbcV/qgNgtYf/YRW+ouAdIXCM5e/+g2tBQEzAhC0ZoTwPQiAAAiAAAiAAAiAAAiAAAiAgCcJQNB6slvQKBAAARAAARAAARAAARAAARAAATMCELRmhPA9CIAACIAACIAACIAACIAACICAJwlA0HqyW9AoEAABEAABEAABEAABEAABEAABMwIQtGaE8D0IgAAIgAAIgAAIgAAIgAAIgIAnCUDQerJb0CgQAAEQAAEQAAEQAAEQAAEQAAEzAhC0ZoTwPQiAAAiAAAiAAAiAAAiAAAiAgCcJQNB6slvQKBAAARAAARAAARAAARAAARAAATMCELRmhPA9CIAACIAACIAACIAACIAACICAJwlA0HqyW9AoEAABEAABEAABEAABEAABEAABMwIQtGaE8D0IgAAIgAAIgAAIgAAIgAAIgIAnCUDQerJb0CgQAAEQAAEQAAEQAAEQAAEQAAEzAhC0ZoTwPQiAAAiAAAiAAAiAAAiAAAiAgCcJQNB6slvQKBAAARAAARAAARAAARAAARAAATMCELRmhPA9CIAACIAACIAACIAACIAACICAJwlA0HqyW9AoEAABEAABEAABEAABEAABEAABMwIQtGaE8D0IgAAIgAAIgAAIgAAIgAAIgIAnCUDQerJb0CgQAAEQAAEQAAEQAAEQAAEQAAEzAhC0ZoTwPQiAAAiAAAiAAAiAAAiAAAiAgCcJQNB6slvQKBAAARAAARAAARAAARAAARAAATMCELRmhPA9CIAACIAACIAACIAACIAACICAJwlA0HqyW9AoEAABEAABEAABEAABEAABEAABMwIQtGaE8D0IgAAIgAAIgAAIgAAIgAAIgIAnCUDQerJb0CgQAAEQAAEQAAEQAAEQAAEQAAEzAhC0ZoTwPQiAAAiAAAiAAAiAAAiAAAiAgCcJQNC60C0lpVVUUlbtQkkoAgT8QaBlejIFQyE6h3Hvjw5DK10hEEhIoHatU+nIyXJXykMhIOAXAtkZyVRdE6Lz5XjW8UufoZ3OCSQGEignO5WOnmo45+e3beG8ApTgGgEIWhdQQtC6ABFF+IoABK2vuguNdYkABK1LIFGM7whA0Pquy9BgFwhA0LoAMU5FQNC6ABqC1gWIKMJXBCBofdVdaKxLBCBoXQKJYnxHAILWd12GBrtAAILWBYhxKgKC1iHo3/72tzTh2im0+J+vKiWFxDLMBLEsjf8PBALKZ4FAIn9DiYlJlJySQpUV5ZSalk6ZmVl07txZysjIojOnT1Lb3HZUWVlJycnJlJmVTSnJKbR3z2fUuk0OdezclfZ9tVeUlUCX9ehDq1YU01XXjKdPdm2j3PZ5FAwGuXISlSvHVVZVUvu8Atq1fRON+O4o+uC9ZdSn3xCqqqqi3Tu20Mixk+md4kXUrXtvys3tQKtWFlNR/yFKXe8uX6r8zsfLPPkFnejI4QO0U5Q3cuwU5byWLVlAvYoGUn5hZ+Wc5z85myZNv5HS0zOorKyUPnz3LVHnYGrXIZ+qq6tox9aNlCTOjY/hxJ89P2823XjbrPpe4Dq2bFhDo0T7AonMjai09DwtfOlpmnHTnWG9tWLZYrr0sp5U2LFLfV7O8NKzc2nMxOmU1TI7LP8bi16mfgOHUp44F3U6fGg/bVm/msZMmh72ebCmhg7s/4o++3gHfX/0xAYjhZk/Nedhuvmn9+mOIi5368a1NGrclPqxoM341JxH6N9uvVsZG3rpyKEDtG3zOlH/BEpKSjYcrS8+M4fGT55BGWJMGSWz9srjeOxu27RW6dOiAUN1i1ML2l3bN1NFZQX17NOfUlJSDeuXfc7jIDEpiXr3HRQxr/yS++Gpxx6lm++411J+memtpa9Rj979qECMDz4XK0mOUzvtq29nsIa2b16vjEUe99GklW8voYsvvZwKO3UxHBNm5S5b8qq4xgbUX5dm+fW+57HC5RQNGEJ87TtNbrRJ3YatG9eIGZXE9TzMadPqj7cyzqIVtHrzmmsNFwXV1FTTs4//lX5y+z1uFhtWlpwPP/90F101cnzM6pEFl5eV0asvzqOZN90V87pkBceOHFLm2yuuHk1pafFdTrhj20bl/ty778CIc32sYPDcx/f7ov5DqUN+YYNq4ilord73YsVCr1weFzwvFom5XT6bxLP+SHVt37JezAE1ou9E25TnTe8lvec977XyQovk/HPDLXdjybGXO0rVtmYvaH/36HP0yuvv1iMZPrAnPfbQL8K679/vf5hWb9ypfKb9HoIWghaCFoKW54YgBK3hbQ+CtuGLOjefESBo3aEJQQtBazSSIGidXWMQtM744WhzAs1e0I6e8Usqnv9gPSn+e9LoEXTzj36ofMaC9+Dhb+pFLovbgrxc+s2sHyvfQ9BC0ELQQtBC0Ea+2UDQQtCaP46E54CF1i4xZ/lhoY3MD4LW+fjSrshzVmJsj4aFNrZ8Y1F6sxe0WqjzXnyTNm3/tF7AssD9w69upqIelyhZt+36nB7447wwEQwf2lgMTZTpZQLwofVy76BtsSIQ7ZLjWLUH5YJAvAjEc8lxvM4J9YCAGQH40JoR8s73ELSavmAL7IA+3RQL7eFjJ+nqqffQigWPUF67NkpOvc8gaL0zoNGS+BCAoI0PZ9TiLQIQtN7qD7QmfgQgaOPHGjV5h4CXBK12hah3KJm3RE87mR9lLwcErYoXW2cfffxV2r3qGUPxqu2U4/9zikLXplNa59oAUEgg0BwIpCYniqA8IRF8TAQjQwKBZkKAg4tlpCVi/+Vm0t84zQsEUlMSRZyAEFVVY87HuGg+BHjOTxdz/vmyhvsvZ6UbB+qMhpA2pg+X0bmwff2K0MYQtLwqdcadf6D5sx+oX6kazblB0EZDLcpjilduoPt+P8fUGqvtFPahnfjta2nRZ/9UataLcpwoop7y50kisitHgS0vL1MiAWdmZVHJ2bMi2nEmnTp1knLbtRcRkCuUSMgts1uJaMXJ9Pm/PqO2bXOoy0UX0Zd79lCCiJzcp08RLSt+g8aMm0Afbd9KHfLyKVgTrK87hSMpi2jJ+YWFtGXTRvrByNG0/K1iGjR4qIiiWEnbtm6hiddOpSWLX6OevfpQexGF+O1lbyjft83JoeI3lii/5xcU1ufpKKKuHjwoogGL8iZNnqac6z9ffZkGDBxE/B1f9HP//heaecNNImpzphKZ+J23i2ngIBFVOL+AqkX0xk2b1isRnPsPqI0Ay5/94+9/prt/fiFK8MED+2ndmg9poqiDuXE6f/4cPf/Mk3TbT38W1rtLX/8nde/Rmzp36VqflzM88dhsmnbdTMEwPMrxqy+/QIOHDaeOHTuHlXNg/z5au+YDmnrdjLDPOWrg1yKy9K6dH9G4CZMbjCyOePiXRx6kWff+P91Rx+WuX7uaJk25zjDK8V8ffYjuuOseZWzoJeaxft0aGj/hWiVCtFF6Yu7f6Lrrb6AsMaaMkll75XE8VtevW6306eAhw3WLUwvarZs3UoUYt/0GDDSNcsxRPDeLccDnO2DgEEtXK/fD3/78J/r5L35lKb/MtOifC6hvv/7USUQItxrlOJr2yfq4nRs3rFXGIo/7aNKbS0Xk8ct6KGPaaEyYlcvXZX9xXXaquy7N8ut9z2NloShn0JBh4voOv16iKc+NNqnrXbf2Qw4cT0OGfSea5ugeY2WcRSto9eY11xouCqqurqZ//O0RunvW/W4Wqzsffrx7p7j3TIpZPbJgjpT/zJOP0+13/jzmdckKDh86SBvWr6FrRo2hFi3S41YvV8TzYlVllZgXB0ec62PVKL4fv774n2LOH0YFhR0bVBNPQWv1vhcrFnrl8rjg56yB4tlIPpvEs/5IdfF9p6a6xpNtk+3We97zCj+9dsj55467ZsVF0Ha/8oYw8SrbxCI3v31bZdVoYwhat/oIgtYtkiblaC2z6uxmPrQsaMcVTKAlBxcrh2HbHmzbc+HhCEqOy20AACAASURBVNv2aC+9aLbFsbKdit4ljm17arfTiiZh2x59atEuOca2PfZHIYJC2Wfm5AgEhYpMD0GhnIwu/W0anZUY26PjGRSKRev6LbvDYvPonZ0UtPyd3J1FbcFVi2D17i1qt0kZ+HZh8Qf09YGjyiF/+vXtlNe+jWKJlUkeoydEtZZkPn70VYOUILrqermsSCte3e7BZr/kmAcIJ+1WPeqBYRbleFw7IWiPQdBiH9rwyxP70DacriBoI0/h2IfW2i0O+9CGc8K2PdbGjVkubNuDbXuMxggErdnVE/l7bNtjzIets7NunVK/u4pRTrmFqBSQnI8F6uB+3et3XtHuzCJXn0phyflZyErBKr/XLm2WukgraLXim79/4oU3lPr5u1uuH1Mfc0itr2ChdXb9mB4tAetlVK8Xj7QP7anfnyJKTaCym1JN60MGEGgqBBAUqqn0JM7DDoFoLbR26kBeEPAiAQSF8mKvoE2xJhDroFBSh1jxUdVbcqzemcVINLKIvfPGSYoVVbs1qd4xXCZbcHlLU/X3zJoD5VppK+dlsTz76YUNypFBdt3uu2ZvoXUKVBG0IpXdkea0KBwPAr4hAEHrm65CQ10kAEHrIkwU5SsCELS+6i401iUCfhK0MoCT3qlLq66RoFWLVCMheuTYCWVZsrT26tUjLcDq7zg/LLQuDchYFlPyRAlVH6mmimmpFGwbnb9aLNuHskEgFgQgaGNBFWV6nQAErdd7CO2LFQEI2liRRbleJhBrQcvnbmfJcUFebv3yYj5WbaGVgtZMcE4aPaJ+ebOehThaQcvnMW389+rbp17uDEHr5VFe1zYOCjU2YSwtDS1VPkFQKASFksMWPrQNL2D40Eae1OBDa23Shw9tOCf40FobN2a54EMLH1qjMQIfWrOrJ/L38KE15mMWFIpFq1GUY70lx5GWBDux0PIZGC051hPTELTOrpm4Hw1BO1BsD1QbTRVBocKHHwQtBK3dCQmC1hoxCFoIWmsjxV4uCFoIWghae9eM1dwQtJFJ6W3bI0WiDBhl5kPLNchIw2orLYvefr0uVfaRdSJo2feV27D/0LH6iMwyKBQHg9KKXT4nTlhybPUqaeR8ELQQtDf/9MI+uurhCEELQWt3eoKgtUYMghaC1tpIsZcLghaCFoLW3jVjNTcErTkpvW1vtAFqIy05ljVE2j7HqaDlOtSBcvlv2Ua5BapsB/vt3vf7ORC05l3vjRwVH1VQ6ZJSqu6WSFXfS/ZGo9AKEIgxAfjQxhgwivckAfjQerJb0Kg4EIAPbRwgowrPEYiHD63nTtqnDUKUY4cdV/11NZU8V0LBgkSqGA9B6xAnDvcJAQhan3QUmukqAQhaV3GiMB8RgKD1UWehqa4RgKB1DWXMC4KgdYi45mgNnX38LIVyAlQ+NcVhaTgcBPxBAILWH/2EVrpLAILWXZ4ozT8EIGj901doqXsEIGjdYxnrkiBoHRKGDy18aOFDu5kqKiuoZ5/+lJKSGvGKQpTjyBMOfGitTcjwoQ3nhCjH1saNWS740MKH1miMIMqx2dUT+Xv40Drjh6PNCUDQmjOKmEMRtKli254KbNuDKMfhQwVBoRpeOhC0ELQcEd1pgqCFoHU6hvSOh6CFoIWgjcWVRQRBGxuuKPUCAQhah6OBBe24dhNoybHFSknYhxb70MohBUELQWt3eoGF1hoxCFoIWmsjxV4uCFoIWghae9eM1dwQtFZJIV+0BCBooyWnOu7MyyIo1OfVVDkqhWq6BlwoEUWAgLcJwIfW2/2D1sWGAHxoY8MVpXqfAHxovd9HaKH7BOBD6z7TWJUIQesC2TPF5ym4pZIqhyVRTe8kF0pEESDgbQIQtN7uH7QuNgQgaGPDFaV6nwAErff7CC10nwAErftMY1UiBK0LZM98KATtqkrsResCSxThDwIQtP7oJ7TSXQIQtO7yRGn+IQBB65++QkvdIwBB6x7LWJcEQeuQMPvQjr9iMr3+/mtKSfChhQ+tHFLwoW14cSEoVOQJBz601iZk+NCGc0KUY2vjxiwXfGjhQ2s0RhDl2Ozqifw9fGid8cPR5gQgaM0ZRczBgvYHY6fQ8qWvQtA+OZsmTYeghaA1vmQgaCFoEeU40eFdp+HhELTuIIWghaCFoHXnWtKWAkEbG66xLrX7lTeEVTF8YE967KFfxLraqMqHoI0K24WDWNBOuHYKLf4nBC227QkfTLDQNry4IGghaCFoIWit3HbLy8ro1Rfn0cyb7rKS3ZU8ELQQtBC0rlxKDQqBoI0N11iWOnrGL2nS6BF0849+WF/Nv9//MARtLKE3dtklpVVU+XIZBQ7WUOUEEek4H5GOG7tPUH9sCcCHNrZ8Ubo3CcCH1pv9glbFngB8aGPPGDV4j0Bz9aE9fOwkXT31Hlqx4BHKa9fGex2j0yJYaF3oJkXQLhKCdq8QtIh07AJRFOF1AhC0Xu8htC8WBCBoY0EVZfqBAAStH3oJbXSbQDwF7VK3G2+jvLE6edlC2zG/nWctstomQ9Da6HCjrCxoj26soLYfVinb9rCoRQKBpkwAgrYp9y7OzYgABC3GRnMlAEHbXHu+eZ93PAXtTIF6fiPgfl7UOcOgXq0P7Z9+fTuNvmpQI7TSvEoIWnNGEXPAh3Yg5Rd2JvaLgw9t+FCBD23DSwc+tJEnHEQ5tjYhI8pxOCcEhbI2bsxywYcWPrRGYwRRjs2unsjfw4fWnB8L2jPm2VzPMTWCoFVXVrxyA933+zk0f/YDVNTjEtfb4bRACFqHBCFoIWhv/ul9uqMIghaC1u70AkFrjRgELQSttZFiLxcELQQtBK29a8Zqbghaq6S8nY+XId954yRPWmkhaB2OHQhaCFoI2s1UUVlBPfv0p5SU1IhXFCy0sNAiyjGiHFu57SLKsRVK7uXhufmdYghaCFr3xpS6JAja2HCNVanbdn1Oc59bEuY/Ky20u1c9E6tqHZULQesIX+3B7ENbUlZNqa9XIdKxCzxRhPcJwIfW+32EFrpPAD607jNFif4gAB9af/QTWukugXj60Lrbcuel8RY9qzfuDCvIq2KWGwlB67zP6wXt0XU11GWbiHiMSMcuUEURXiYAQevl3kHbYkUAgjZWZFGu1wlA0Hq9h9C+WBBozoI2FjxjWSYErQt0pYU28aNqSllTTcGLEqliZLILJaMIEPAmAQhab/YLWhVbAhC0seWL0r1LAILWu32DlsWOAARt7Ni6XTIErUOi8KGFDy18aOFDy9NIMFhD2zevp0BiIvXpNziqmQVBoaxhQ1CocE6Icmxt3JjlQlAo+NAajRFEOTa7eiJ/Dx9aZ/xwtDkBCFpzRhFzQNBC0ELQQtBC0EaeSJcteZV6FQ2o3+LL4bRLELQQtE7HkN7xELQQtBC0sbiyiCBoY8MVpV4gAEHrcDRA0ELQQtBC0ELQQtBGInDk8AHasmENjRo7WbHgu51goXWHKAQtBC0ErTvXkrYUCNrYcEWpjShoeQ+jrw8c1e0DL0fPijRopA8t5zm6SgSG+hiBoXCRNW0C8KFt2v2Ls9MnAB9ajIzmSgA+tM2155v3ecOH1j/9H1cLLYeALsjLpd/M+rF/CFloqVrQlu6sobYfVlFNtySq/F6ShaORBQT8RwCC1n99hhY7JwBB65whSvAnAQhaf/YbWu2MAAStM37xPDqugrb7lTfQ/NkPUFGPS+J5jjGvSy1ozx0OUe6iCgrlBKh8akrM60YFINAYBCBoG4M66mxsAhC0jd0DqL+xCEDQNhZ51NuYBCBoG5O+vbohaOt4Fa/cQLOfXkjF8x8MIzjvxTfp0cdfbUBVLo+GDy18aOFDCx9aniAQ5dj45oOgUPChtfdoQlReVkavvjiPZt50l91Do84PH1r40BoNHkQ5jvqyUg6ED60zfjjanEBcBS0vOR5/zXAafdUg85bFKce2XZ/TjDv/oNTWubC9rqDdtP1TeuyhX+i2CIIWghaCFoIWgjbyhA1BC0Fr95YOQWuXmLP8LDjeKYaghaB1No6MjoagjQ1XlHqBQFwFLYvHB/44r4Fo9EKHRLLQRi1oEwJECUSBAEe1DFFiYhIlp6RQZUU5paalU2ZmFp07d5YyMrLozOmT1Da3HVVWVlJycjJlZmVTSnIK7d3zGbVuk0MdO3elfV/tFWUl0GU9+tCqFcV01TXj6ZNd2yi3fZ6wDgVFFSFRX4JyXGVVJbXPK6Bd2zfRiO+Oog/eWyb2xhxCVVVVtHvHFhopom3yzatb996Um9uBVq0spqL+Q5S63l2+VPmdj5d58gs6EUfq3CnKGzl2itJly5YsEFtxQNBC0ELQQtBC0EYigCjH9u/yELT2mTk5AoI2Mj1YaJ2MLlhondFrnKPZCLl6484Glf/p17d7yjApGxhXQcs+tJFSY0Y5trrkWM+Kq/ah5fP7dF+Iit6ooGBBIlWMT26ckYhaQSCGBOBDG0O4KNqzBOBD69muQcNiTAA+tDEGjOI9SaA5+9CyoB3Qpxvd/KMferJvtI2Kq6D1MhEjQattM3cwJ6MlyPzd3tNBav23M5SQlkCt7mvl5dNG20AABEAABEAABEAABEAABECgngAErU8Hg1VBK31u1dZkrYX2rFj2WzG/gjqdCVLFtFQKthXrjpFAoAkRgIW2CXUmTsUyAVhoLaNCxiZGABbaJtahOB1LBOJpoa36V5WlNsUiU/KlDVeTQtCakFYHYZJZvbCVT7SCNmJQKPahFSmQCB9a9s/ZsXUjJQn/YPa75aQXJEDP16y09DwtfOlpmnHTnWGja8WyxXTpZT2psGOXOsa1X7/07FwaM3E6ZbXMDsv/xqKXqd/AoZQn/IHV6fCh/bRl/WoaM2l62OfBmho6sP8r+uzjHfT90RMbjGz2W35qzsMEH1r40PLgQJRj48kfQaEQFMruQxh8aO0Sc5YfPrSR+cGH1vn4en7ebLrxtlnOCorT0XL+ueGWuyknO5WOnipvUHN+2xautub84vNUubPS1TKtFJY+IZ1Se6Y2yAof2gj0WDTe9/s5tGLBI5TXro2S8/Cxk3T11HuosZ2MjQTt6Bm/DAtixX8P7tedfjPrx0r7IWgRFAqCFoIWgjbybROCFoLWyoOVOg8ErV1izvJD0ELQOhtBkY9GlGNzuixoQxUiuGucU/LlyYaCFj60Bp3BYvDOGyc1iI5l1Toaiz7WsxjPunVKvRO09g3FtPHfqxezELSIcgwLbbWIpA1BC0ELQRuJAKIc2797Q9DaZ+bkCAhaCFon48fsWAhaM0Le+x5LjiP0CUc51lterOeX6r2uNW6R1oeWc+4X2+ukPQ8/Wj/1I9pqnQB8aK2zQs6mQwA+tE2nL3Em9gjAh9YeL+RuGgTi6UPrNWIQtBF6xIsWWjcGkJ6g5XK3fFhDw3dWUeX3kqimW5IbVaEMEPAEAQhaT3QDGhFnAhC0cQaO6jxDAILWM12BhsSRQHMXtNiH1mCwedmH1sn1YSRoV+wlGvtWOQUvEvvRjsR+tE4Y41hvEYCg9VZ/oDXxIQBBGx/OqMV7BCBovdcnaFHsCTRnQRt7uu7WEPd9aL0a5TharJGCQiUEApQg/LsDJKIcJ4YoMTGJklNSqLKinFLT0ikzM4vOnTtLGRlZdOb0SWqb244qKyspWUQCzszKppTkFNq75zNq3SaHOnbuSvu+2ksBsZT5sh59aNWKYrrqmvH0ya5tlNs+T0RYDRKFRGViyyA+rrKqktrnFQj/xk004ruj6IP3llGffkOoqqqKdu/YQiPHTqZ3ihdRt+69KTe3A61aWUxF/Ycodb27fKnyOx8v8+SLyMDsB7ZTlDdy7BQF17Il8KGFDy18aOXcgSjHxrMogkIhKJTdeyx8aO0Sc5YfPrSR+SHKsfPxhSjHzhji6MgE4i5om1qHmAlaEhozSQjaUEAI2iQIWmzbE34FPDXnEfq3W+9WXnbopSOHDhDfSL8/egIlJRlb+V98Zg6NnzyDMsRLEqNkts2QPC4kXoxs27RWvBtJoKIBQ3WLU1toERSqFhEELQStEQEEhbJ/54egtc/MyREQtBC0TsaP2bEICmVGCN87JQBB65BgxG17hIWWjaaKoBWm2sRkCFoIWgha3o+YX+707jvI0tXH+wE/9dijdPMd91rKLzO9tfQ16tG7HxWIfYpZnFtJcr9kO+2T5ULQQtBC0Fq5yqzlgaC1xsmtXBC0ELRujSW9ciBoY0kXZTOBuAhajm7M+8zyHrSR0u5Vz/iyV4x8aPlkXjsRoJmvlFIoJ0DlU1N8eX5oNAhoCcCHFmOiORKAD21z7HWcMxOADy3GQXMkAB9a//R6XAStf3BE19JIgvatlET63txSyi4PUfmMVAq1tGYpiq4lOAoE4kMAgjY+nFGLtwhA0HqrP9Ca+BGAoI0fa9TkHQIQtN7pC7OWxFXQGu1Dy9GPZz+9kIrnP2jWXk9+H0nQ8n60vH3P9I8qqXKY2L6nN7bv8WQnolG2CEDQ2sKFzE2EAARtE+lInIZtAhC0tpHhgCZAAILWP53oCUErIx/7ccmxmQ8tD4VQIJESa4QPbUD40KYjynGvooHKFaLnU6EXPKW09DwtfOlpmnHTnWFX1opli+nSy3pSofCRDCSKSNJ16aVn59KYidMpq2V2WP43Fr1M/QYOpTwRsVmdDh/aT1vWr6Yxk6aHfc6+mwf2f0WffbxDBGWa2OCqNguyxOVu3biWRo2bIqJTB3RnBQSFMp8s4UNrzkidw42Iwjy2uZyiAUOII5w7TW60Sd2GrRvXcLw9cT0Pc9q0+uOtjLNoBS2CQtnvJvjQ2mfm5Aj40EamhyjHTkaX/vOesxJje7Scf2645W7KyU6lo6fKG1SY37ZFbBuB0m0R8ISgnffim7Sw+ANfWmgtCVohthKrQyI4lPjJEIK2Etv2QNDWXqcQtObzlRWhoVcKgkJ1thwMS8sPglZ/XELQfkWff7qLrho53vzCdZgDgtYhQJuHQ9BC0NocMrayIyiULVzIHAWBmAtavX1n9do5f/YDVNTjkihOoXEPsSJoxZ4sRMJCmxISFtq0FKqogaCFoIWgRZTjhnPXyreX0MWXXk6FnboYbuVkNuO5YQ2FoIWgbfCSo27FCgSt2RUY3fc7tm1U9onv3XdgxC3aoivd/CgIWgha81ESfQ4I2ujZ4UhrBGIuaNXNMPKhtdZU7+aK5EMrW/27YwH6/14rpWBBIlWMN95P1LtniZaBwAUC8KHFaGiOBKK10DZHVjjnpkUAPrRNqz9xNtYINGcf2n+//2FavXFnA1C8a83oq2q3XWRdp07DB/akxx76hTW4LueKq6B1ue2eKc6KoJ2VmUIP/rUE0Y4902toiBMCELRO6OFYvxKAoPVrz6HdTglA0DoliOP9SKC5C9oBfbrRzT/6oW7XjZ7xS5o0ekTY9yyCIWj9ONLr2mxF0PL2PeXvVSnRjjnSMUc8RgIBvxKAoPVrz6HdTghA0Dqhh2P9TACC1s+9h7ZHSwCCVl/QHj52kq6eeg+tWPAI5bVrEy1eV4+Lq4VWAjA6g6Ya5TggohyLWMdUlZhELauSqUL8pGamU2ZmFp07d5YyMrLozOmT1Da3nQgYVUnJycmUmZVNKckptHfPZ9S6TQ517NyV9n21V0TLTaDLevShVSuK6aprxtMnu7ZRbvs8Yp83Com4nwkJynGVVZXUPq+Adm3fRCO+O4o+eG8Z9ek3RPHR2b1jC40cO5neKV5E3br3ptzcDrRqZTEV9R+i1PXu8qXK73y8zMORTjlS505R3sixU5QuXLZkAXHE4vzC2uAz85+cTZOm30jp6RlUVlZKH777lqhzMLXrkK9ENN6xdSMliXNDlOMLVwCCQpnPZwgKZc5InQM+tPZ4ydxWxlm0ghZRju33CYJC2Wfm5Aj40EamhyjHTkYXohxbord0qaVsMck0dmyDYtnaamah7ZjfrtEsstoGx1XQSvN0v16X0gN/nFcf1Zihjb9meP2a7Jh0VowKtRIUSgra6qQkSq9KoepgOaW1SKeMVhC0z8+bTTfeNqu+d7BtT/hAPXLoAPGN9PujJ0QMFPLiM3No/OQZlCFekhgls22G5HEh8WJk26a1ykuKogFDdYtTW2h3bd9MFZUV1LNPf0pJSY14pckXG4niWkBQqIaoEBTK2kSNbXvCOdXUVNOzj/+VfnL7PdYARpFLbmOGoFBRwLNwCIJCXYBk9b5nAatrWSBonaFEUCgL/GbOJJo/30JGl7M8/zzRjBm6gtauD63av9blVpoWF1dBK4NCdWjXlm6658F6QcuRkNUC17TVHspgR9CGxEN8VSCF0sqEoE0WgjYHghaC9hH6t1vvNoxoa/XGDkHbcFLAtj3YtsfOrQIW2si0IGjtjCb7eSFoIWjtj5raI7ZvWU81Igp5Uf/BYhUfrwj0XoKgtdAnLGjPnLGQ0eUsU6caCtpIFlptK4pXbqD7fj+HGmvXmkYRtLw9D4tbucRYbu3jxyXH3KFWfGhlx18jBO0Hs88qf5bPSKVQywSXRyaKA4HYE4APbewZowbvEYh2ybH3zgQtAgF7BOBDa48XcjcNAvChNQ4KpdfDvBL3zhsnNcqK27gKWvV6bPXv8158kxYWf1BvsfXbZWBH0HK04yveLq8NDtVNBIf6HoJD+a2/0V4iCFqMguZIAIK2OfY6zpkJQNBiHDRHAhC0+oKWDZFzn1sS5j8rLbSNZZyMq6DVXgzq/Yu8FCnL7kVrR9CuSw7QPcFk2v63M4p1tmJcCqy0doEjf6MTgKBt9C5AAxqBAARtI0BHlZ4gAEHriW5AI+JMoLkL2kg+tHr71DaWmOVh0aiCNs7jMibV2fGhTRRRjpNTUuhMRTmlh9IppzqDSlqco/Rs70Q5zikto5Vr3qUBma2o8NgxeqP8HPUqOUedvzlOB1uk0eb0NJq6dbvC8pWi3jRo337qfPIUDyT664jhdMP+Q5QhfDlKhb/w2wUdaAAlUl4wRBUdO9KWsvOUmNaCevfqS8GW2VSVkUnPvvocgkLBhzbitWnFt1GvAPjQwofWzqRvZZxFK2gR5dhOT9TmRZRj+8ycHIEox5HpISiUk9GFKMfO6OFoKwTiKmhlUCj2oW0qKRpBWyIEbUVqBn3rXDqVBISgbRd/QTu266X01sY11OfgQSrcuZOKL/kWjSh+k3KPH6eFEyfSdz78kDru30+vTJtGfbdto65799K+Tp1o3bBhdD1HRBNpvoiKNnTdOuU7FrT/d++9dNucOZR5/jydz8ykpWPG0PDVq6nwwAGqEkJ+7dChlCy2JRq6dq1yfJXYwudP999Pv3y+NqpbdcfO9HW3brSmXQ6Nz2hFgexsqunUmc7mtqdXP1hOM26+K2zYrFi2mC69rCcVduxCgcQLgRBeenYujZk4nbKEaFanNxa9TP0GDqU8sQWROh0+tJ+2rF9NYyZND/tcBkH57OMdIsrwxAZD1ixqMJe7deNaGjVuigjUENAd8ti2x3wmsCI09EqBoIWgNR9dF3JYGWcQtF8RohzbGVXW8yIo1AVWVoMhWqfrPCcErTOGCArljB+ONicAQWvOKGKOaARtuRC0xzMy6GIhaCurSyhDWGhPV5yK7T60Ys/ZwRVVRBvW0bbUJLr+2WfrxWr+oUP0+rhxiohtIyyoi37wAxoiLLIdxJ60i3PaUPfUFlTYqjUdEnvbbqUgjf1WN4XJki8+oaL2+VQo9szl0FZP7txC12e1pgwRZa80FKSVp47ToLIKxUIbPHiANrVpRSknTtCQHTsocPYMVZ8/Rw/fdhv9xx/+UM94X+fOtOqKK+j6F16gRGHp5XROsJp7++10zxNPUCi7FVX16EVB8f/ib3Wly0QbC9u2o2DP3sp3QSGCIWj1h6yZAJdHYduejWRnWyHJLRisoe2b1ysvV3j/5WgStu2xRg3b9oRzwrY91saNWa5jRw4p26RdcfVoShP3wngmCFoI2mjHG6IcR0vO+Di5QuSGW+6mnOxUOnqqvEHm/LbxnSPcP8umVWJcBa2f95uN1O12fGhlOZNbplKXj6vo70tKa31pp4iIx5G38LQ98hL3fU2Zj/+dUlZ/QMm7doQdz5ZPFobyn/zbdiUuHMDtZIEbOHOa+PcEEbY86cA+5X/+O2k/f3ZafG8ezpwFrVr0VnXvKf4Wy5uF4OVlznyeSM4JwIfWOUOU4D8C0Vpo/XemaDEIhBOADy1GRHMk0Jx9aP3W33EVtIePnQzbf9ZvsIzaG42gXZCaSBzxeMlzJTT862qqHiD2qBX/3EjpLz1PLV5+gVLXfFBfHAu5imEjqHLocOV/Pwo7FrQsbFmcK+J3/z7lH//On1kVvXzuvLyZ/6/p2Kn2n+ozN/qgqZcBQdvUexjnp0cAghbjorkSgKBtrj3fvM8bgtY//R9XQauOaqyHqDGjYznpsmgELdc3uHUaZR8L0gdPuLMvLQvZrD/9r2LV5MTWyvLR46jsuusVEdscEoveRGHRZQaKdbfO0pu88yPFCizZRGLB4lYJWiWsulLw8hJntmbLZc3NgWWkc4Sgbe4joHmePwRt8+x3nDW27WmKYyChgihUERQuY+w0Jn4XP+rEn+t95iSvn+ritrKgbZWVTMfPCFh1SZ5DXtf0pjgsfHtOcRW0vqUUoeHR+NBWCh/a1LR0OpndkkrPlVBOVTolnTtJOZntqCKzipJFsKRM4ZeakpxCe/d8Rq2Fn2jHzl1p31d7RXChBLqsRx9ataKYrrpmPH2yaxsVHD1KSWyNZQumaGtyuoiefMV3KWfYFbTj849pxHdH0QfvLRN+fUOoqqqKdu/YQiPHTqZ3hF9tt+69KTe3A61aWUxF/Ycodb27fKnye/u8gvo8+SKQEkfq3Ll9kzh2ikJk2ZIF1KtoIOUX1gafmf/kbJo0/UZKF/WXlZXSh+++pfgStuuQTxwQYMfWjZQkzo2P4aQXJEAvGmhp6Xla+NLTaDpMzwAAIABJREFUNOOmO8N6IpqgUP3F+RYI9mor76ET39DatGT68dI3wgRvjfCF3HPRRbStXz+a9vLL9XVLwVshBO8jl15EP0vOUCy8WsGLoFANLxw5Duz4qFoJ1qN3iSIoFIJC2bnnWBln0Qra+nntykliDr8QwM7ogZEfIhPPWW89+9A+9cZsumXkz4nEA2q0KVBifGRNqIb2n/6aPjvxMV1z8ZiIVSRU8oNy+MOx8qxc+9x8Iel9Vvu0TOXBMnrxi2fpJ9++rTZ/Xd6AKJsuPFtGe6q6xx2pPEybz2ykq9v+gNIC+v5xCXxelZpzc6EVWyu2UFWoivql9qekBHdWa0VqVsLZ8HMQ68TojeAbNDBB3NMT8l04o+iLOBQ6RBvFz5iEMZQkfryQNgU3UTAhSP0T+ou9Gy5cw15o2+bQZqoRP15sm+TD4+vx4ON0R+AOLyAzbUMZldH84Hy6JXCLYd7Wv25tWg4yxI9AXAWtUZRj3ox39tMLqXj+g/E7c5dqciJok7Oy6MvSc1TZIpM6Hj5B7RJyqCK7ipLEUmQrgvb7fQfT54sWUMePdxOLL7bIVg79DiX0HUCVIoATC9JdQoBC0NZ2ttUox9JvV7xBoAMimNXu6gq6dt0GxZdXbeENChH/P7/+Nf3md78LG03cDzViSfNX3bvT6m9dRBPSRdAsAz9eRDk2vxCtCA29UiBovS1o+YFa+/Y/UCUknlYIyc49e0Gobd67Tvm0/0VDFHGjiBydVC+sDMSUCDJfn1iwPXZgNt3R8WdhJSWUhAtEfmNfIwLd1SfRXrZ0REqH6BBtCG6gcYFxMXkY5ofZucG59NPAT80vqChzcB37QvvoE/EzOmF0lKVYP8zKA6X10qzlPBI6QptCm+jqwNXUQvzEM20NbaUq8dMvoV+jiDgI2si93RQFrRK3JVX7lukCB70XbkaUIr2c42OqQ9X0xNnH6PZs/TnKzbrMrlsrdZWFyuiFs8/TLdn/Ll5CUticL49v87NWZlXh+zgS8ISg3bbrc5px5x/Ij0uOnQjazMws2l9aQkdatqTCI8epU3UOVSZWUmK7VMoUAiiShfb9NxfRFBEJePPAgZRXUkJlw69QLITCVKocB0Ebu217ZBCrxB3bafbJI3TvZ3t0/Xi/FhGb37/ySpohtjkKBMMfiqWV96FrJ9KdwrecCjrW+vQqfr1iybPof05Wty948Zk5NH7yDMoQY8ooIcqx+cwajQVZlurpKMcqMcjtbWD9Y0GmsuwFy4NUvGMh9SsYRAUtO9aeYkm4RUfPUqZrvRKC7/XyxdRP/BQmFNYvbzPvDeMcG0IblC8HJQxyUkzYsSxo54Tm0J2B8JUgblQgBe3YVuMtC9pQlv5WX3rtqREPi48fnEO3F95FQeMpwPxUsowfbu1YaIMpoipNkENexcMR1NVJ7zP+nj8vqyyll9c+QzdccbtySP1DaKrg4nIARdmmoycP0dZPN9B3+4+ktBR9QRsSAiCY7L6FdsfuTVQlVjL17j6AkpKSzfvKaY6W4eML+9BGBopte5wNOGzb44wfjjYn4AlBO+/FN2lh8Qe+tNAqz3mlVVRSVm1OWyfHfvG2n31pOW3/6xnqdCZINb2TqHKY/jIbFlPZ/3k/pRUvVY4pnT6TSu77D18GeYoKmA8OcsOPV0ZrVgevklGapRhuzMBe8KF1PhCl/xKXFCYw1eJSa32UolI8T6uti8oDv9qSaMFq6PwMnJXA0d0bpBQhegwsBkZCLUHkD7GA0klSWBmKqQgCThZXk3mhYF5y3DY7hb45rfKnEgLL7Qj1zsjiaBBwnwCCQrnPFCV6nwCCQnm/j2QLYy5opfXVDMn82Q9QUY9LzLLF7PtIy555u6HVG3cqdQ8f2JMee+gXYe1wImi5II52zFGP7z1WRf/xWO0auMrvJVFNt3BRy2I2Z8JIZdkrixkWsixokfxHQC5rVoJXRRmtmc9aHcCKtyeqLuykbFMkozbHKohVsxO0dRbOsCWx0uqpFp11glNrvawXm40kNLXisYH1T1i8FPFXl/REolZQJqQlCiEZbqnSs14lNCHBF60Prf9mKLQYBMIJQNBiRDRHAs1Z0P7u0efoldffDev2xtZqkcZgzAWtunIjH9rGvEjUgrtzYfsGVmLu0IOHv6kXsSxuC/Jy6TezflzfbKeCVlppOwq/rMUrS6nr+sravWnHpSj/c+IgRm3HX6PsxcpLi08+9wqsso05cGJcd6QtiuqXPNdFszZritbay4JXsfaK7Ypk9GYpjs3Kkt/7RdBKK2i9BVRaP/VEaF1AnPplszEWn2r/pTCBqRKXWmEpRaVicdRYF9WWxKYkIq2OyXjkg6CNB2XU4UUCELRe7BW0KdYEmrugZb5S70i95FVRG1dBG+uB56R8Iwvt6Bm/pD/86uZ66zF36AN/nFcvfJ360J47d5YyMrLo0JlT9HVeB+pcWkadSpIouzRLRDtOoS+SvqC2IjJxtzeX0ucXX0yhgkK6ZOLUsCjHue3ziP0jhYMSfGjFIHjp2bk0ZmLsfGjlODPzSY1HlGMpbp/74B26LpBCrQ7sF/vx1m5PxEGs1HvzGgWxUl83ig+v2KLow8GDhZ9aKg2uDjaw+nL+jG4XU1CMt3Niqf2u7ZuporKCevbpTykpkZ3bovFRDZ6uoqdf+AvdOvGe2qayZbROkMqgPzI6qxSjHHBoSWgJ9RE/HRM6Wvbb5MAVW8QPR9bk4Cwy1Vs41Uti64SnFJ1B4YO5+ehGSkxOpKJvM78LZKXYNBOaK99eQhdfejkVdupCiYnRRfdctuRVEUl8QH308WjmRR7bXE7RgCHEEc6dJjfapG7D1o1rlKC3/QYOc9q0+uOtBB+LVtDqRW93reGiII5y/Ozjf6Wf3F53jbhZeF1ZzOfA/q/o80930VUjx8eghvAiy8vK6NUX59HMm+6KeV2ygmNHDhH7Sl5x9WhKS4tvUKgd2zYquxD07jswPj60GqrwoY08zOBD6+wyhA+tM36NcTQb9DipDXhs1BvQpxvd/KMfNkaTItYJQVuHR0/QHhbBeq6eeg+tWPAI5bVro+TUfuaWoD15+iR9lp9HaRVCGAQTqf2JTEquSqY91Tup3b49dPHnn9OnV32fgl27Nti2B4K2CwVElGeZmpOgleccKSiUtPYGRNTmOds30M+SxDZRdfvz6gnfkLD+fXDFFSQmBxrx/vuGE0hQBL3idyjrhn+Hytq0oQGnhJAWL1zY8stJLnuWv7O1tOp8Be3ctomShFjr06H/hQi1YqmuXKarFqXKsVEG62FB2ztZCNr0TpSQwn6Otasd2MqptnzWL6UVQVKqa6po+97NFBCilLecsuMb6emgUDZvPRC0+sAgaCFobV5KlrND0F5AZTUYomW4LmSEoHUGEYLWnN/Sz2pj4zRGGvvtsQ2qhaA16Qm2eH594KhursaMcuxE0E6eMpVee3WBck4cxVEGIAlwrG+REoXY4s+TkpIUC1Z5eZmyV2um2Lan5OxZyszMpFOnTtKJ9h3otNhup5WIcDggrSWl7D5JX5R/SrnffENdhcXmcyFmE0SZffoU0bLiN2jMuAn00fat1CEvn4I1wfq6U1JElOPKSmGhKaQtmzbSD0aOpuVvFdOgwUPFG+BK2rZ1C028diotWfwa9ezVh9qLfWLfXvaG8n3bnBwqfmOJ8nu+ECcyT0dR/8GD+5XyJk2eppzXP199mQYMHET8HZ/z3L//hWbecJOwOGcS7x37ztvFNHDQUMrLL6Bq8eZ506b1yh67/QcI65VI/Nk//v5nuvvn99WPh4PCwrhuzYc0UdTB3DidP3+Onn/mSbrtp+HbaSx9/Z/UvUdv6tyla31ezv/EY7Np2nUzqWVdpGBZ+Ksvv0CDhw2njiKKsDodED6sa8U+vlOvmxH2eY2wSHwt9v7dtfMjGjdhcoMxyw/9f3nkQZp17//THc9c7vq1q2nSlOtE2Hf9iKV/ffQhuuOue5SxoZeYx/p1a2j8hGuVPXyN0hNz/0bXXX8DZYkxZZTM2svHBb7+mkKnT9H6rULUiZcrw06eVCy+CadPK98lCFEs88l61g8ZQuXCmjtk3TpKFccYpVCa2FYqozWtHTJQWDGzaNCXpRRqkU38ebBVbSTdYCvhAyz+Vv7VfVfTMkhzTv+D7u4s9tgUKdRSCNK0ukin7PeZJuKfZtfxZdEqPksQny1641Xq268/dRJ7OPP4tJLYQrJZjFPujwEDxZYwNhKPl40b1ipjkcd9NOnNpWJv6Mt6KGPaaEyYlcvXZX9xXXaquy7N8ut9z2NloShn0JBh4voOv16iKc+NNqnrXbf2Q2Vf0iHDvhNNc3SP4f7725//RD//xa8My+RxlCF8h3llgp2kN6/ZOd4sb3V1Nf3jb4/Q3bPuN8sa9fdyPvx4905x75kUdTlWD+S9zJ958nG6/c7a6z4e6fChg7Rh/Rq6ZtQYatEiPR5V1tfB805VZZWYdwZHnOtj1Si+H7+++J80WFzzBYV1kc1VlaWmiK0BhVtUlVi1E+tk9b4X63aoy+dxwc9ZA8WzkXw2iWf9keri+05NdY0n2ybbrfe85xV+eu2Q888dd82idDHnn9eZ87PS3Y1GPnPRTJq/Y37csTw/8Xma0Sv8+ZcboRW0rJPu+/2cMCNf3BsbocK4Wmj1/E+9AiNaQcvtr6iqEdvkOJ/k94mHpR4taoXN7s++oMsGDVCWjJYPuY0qfv9/FBhiEMrTKxDRDt8TCIko23J7FuV3sXSXl/cqy3zLebCHKMifi/8Dp/Yp5xs4vU/5l1B+Vvw7E/Z5ovi8Ns/+qNmwJZhTSAi0UCshdMWS6FAr8Y9fWAhf4Nrf+TPxu8ij5K3LF3WlOBAEdAhEK2gBEwT8TiCegtbvrND+pkOA5/x4Ctoz4hkq3mlq96mGglYbFEq9YjXe7TSrL66C1otBoSSgaH1o+XinQaHUncQRj5eXldC2oiLq8tVXVPbD66l80N+ULNUDkqhK/EMCATsEeKlvwjmxckCIUClOleW9vMxXBEJSPhdbvnA+W4m3SxGBiZSlvMJfVPldvHNRouXyHof8mdyzUfxdv/T5bK2Pb0C8rGHrb4D/FtZsTvJz/kzt/2urXarMMiAWB8HiAFhKQCzxP6+VltseySXS8nveKkmmxtwaKdpzxnGxIxDtkuPYtQglg0B8CCAoVHw4oxZvEUBQqHAfWm/1TnhrIGjreBgJ2nhEOVZ3CUc8Pn/jdfS9119XohmfeP1tSjicQSnv1i5x4618qsQetXZ8+7w8ANE2hwSE5VSJ4FtnReXfE3jrGBaxUQhVJfhRXeAjxbdUiFS5lyeLVClQW3ZIrQ8K5fAMTA9nkcupNsiVEMAqIVwrfC98xnk4uSGG1Q1TC1speOVnMmq0cn3W+Q8rv9ct1WWhzIKaU6y2UTKFiAyuEICgdQUjCvEhAQhaH3YamuyYAAQtBK3uIOIlx+OvGU6jrxrkeJC5VYDePrmzbp0SFsEr0j60bgWFOiOCQrXNbUfVwmeyxd49lF5aSm9fey1duv8AtWmTQ51yutL+j76gQFAsS87uRe+ULlciTX6yaxshKFTTCwolraocHGPrrrU06qLxlFydRAnH6yytGovqU8GnaGpgKmWKH73EQpUj7c458Fe6o2hWrSWVBWudSA1lsqW19kj29962aa3id1o0QN8XVL1tT8yjHAvfxqcee5RuvuNeW5f9W0tfo14XX0aFGRmUKHzV64UwC+K6v7lAaR3m76tLSmhTm1aUJOocumOHYjG2mmqE3+3q4cMpUfgzDl+92vQwaT3mjNKC/HrP7nRZyTnqHEqgJNEParGsiGSVYJYWZeV4lWh+c/371KtXP8r79uWWfYe1jUVQKP3ui1bQIsqx6eXQIAOiHNtn5uQIRDmOTA9BoZyMLrHCsLqKnp83m268bZazguJ0tJx/brjlbsrJTqWjp9jnKjzlt41vJPQ4nXp9NXpBoeLdBjv1xdVCq93yxk5DvZrXTUGbIwJFBT/ZTSlCzO7s25c+vuQS6v/xJ9SpdVvqKALb7PtiDyUdT6BeNT1peWg5XT1sDO0+tAOCtqMPBW2dZfWJxX+mm/vdQUkGYvVQ6BBtFD9jEsYoW8loEwtV3sP0mcNP0LXdpitbQBkJVbNthmTZTUnQ9ujdjwrE+LAaFMpoWyEpbNkizMKXk/xMLpuuES8ANpeWUKIIqDTo5On67zk/H8fJzHL82uTJ1HPXLvrWF1+IMWEv8JDsv/kzZ9LQNWuo65dfKpGqOWmXTquXVet9XyOWZr/Wri0Nqqwh3h9byaMS0/y3WlDLurXl8udslX7z/eWOtxJSj31s2xM+E2DbHneeELBtzyIq6j+UOuQXNgAaTwstohzbG8/bt6wXW3fViL4bLAJQXtjxwV4psc0NQRtbvihdPF+Jh9fap5U4JPahjZQaM8pxtKfvpqDtsG+fiCBYRYk5uVTTpy8tzGxBl3/yCXVp1ZYuYUErIu4GxI6aPct70srjb9OohFG0o+Uuyrkkn2oC2IdW9mFjb9vD1tXAiSAdPnyANn+ylsZ1mSSWBYulvLwM+HhNmK/q34N/p9sCt1Gi+NGmUE6ADtIh2lS6gUZdNp4CaULQ1vmmBtvy8t8LR0TatkfmgqA1v8qj2Sf3At8a2r55vbKFFG/5Y5akTzHnk0L57S8/p241Ieos9qBOFAJZimVZlrQmK8fULb2Wv0vR/OI119DQ9evoIiGMpaA1a4v2+6CIys3CeMSqVdRFRLd2mqyIbFmHviiu832uy7S2bWtlH9ph4sVBqGXL+iXdDc6Dg4Zpop2r86hFeU0oSI9t3yRWMFxYQaS2fCucRZ+0zU6hb06HO5yb+VrDQmt/BMFCa5+ZkyPiYaE9W3GGzlTUvhCMlE4d+4b27PiYiq4UK16SvCHQ9uz8mELiZeVFPS833LXA7Lxi9f3eXZ+ICMw19C3RNt4JwygdKHE+l0d7Dhwh+tM3N9Pl4wZGW0Rcj6uprKZ/vbOduo8ZQNmZyXSqhAOPhKdre10T1zahssgE4ipom2pnuBEUKmPubMr+z/sVS8o3760X1o9sekREPH5YhAVnC8ly8QDVUvXuIfGjakreXK2IIxY27FfL/rVIcSCg8lsNHBfBlMQ8Z7QU2Kg10rLKgZOCbev8VHn5L1tcVct/43A2UVWhXnIcVQE4KK4EtEunpa+xbIT2e62Qlr7K6karBbX8XFsuf25mlY4riEauzEz4qpsnl6HbaXL9EnXNNlWn04hOpdZuKadOcps5+dnenrV7SFtJXCb/00s1Bi8SDpTUBn+zm85WnqHT5cJVwKT9slztefHn/Fm09Zu196wQadzGeCYWhiwQkUAABBqHQOi/4mYPbJwT9FmtELQudJhTQcsPk7nfFUtFRHCbE6+/RRXDRtS3anDrNOJAUbeUV9N/n68Ka22C2FIl+T1h0T1Yu2VQTUFAREIWe8Xle+ONpgtoG6cIKVjF/xwFWB0NOEEIWLOkWE7FMmAOoBTKqYv8K6ytLF7Zj1Wxsvo8QdD6vAM90Hwj/2R9UXxhqbe26Vrxrf5eT4iHfa+ycvPnWgsGi/F9Cfqi4SsRLFsvGX1+RkcA8uMQS0yjY7j8SMLRyvce6Go0AQQUAq2EGyL/Q2ocAl3MjeON0zCf1vre0xC0Xuq6uAtadYCl+bMfoKIelxAvRZ42/nv0m1k/9hIby21xKmjb/HgapRUvpfLRY+nkc6+E1ctilkUtp0fPVdLUipoG7Ur8lK21Yikr7xkqEi9Vrfp2gILCYotoyA27MXCiLrBSnWDlv5XlwBxoqY5hpM5npqEc8dKgbqsaRaTm1glYH1hXLQ/sCBkhaN2giDIkAe1SRK2w3H/2wlK5M8IqVaKxhu2vs/xJy5w6P9ehZ0HT5mnKvdEyNZuyUw0UuOrEC7MubFllxiNblNnSQpnqcqJ9oNYKITvB2tT1d3bhgV7tEy/LdiTU2OocpeeXbZ6quqJlaDYu8D0INBsCUV63zYZPnE80roKWxWxBXq4iXEfP+CX94Vc3K4LWaMucOLOIqjqnPrTnT3xDrfZ8QSdycqiNCF5TkRig5ORkyszKphThR7d3z2d0TvjUrvj2JdTjX59TL2EgLOrRm1atKKarrrkQ5ThUKcTY0RoKHA1Rak0KVYqfDsl5tC1tO40Yfg29v3u58OsbQlVVVbR7xxYaOXYyvVO8iLp17025uR1o1cpiEVBgCLUWEZXfXb5U+b19XkF9nvyCTsR+YDuFj9nIsVMUVsuWLBCBXgZSfmFnZSnY/Cdn06TpN1K6CG5VVlZKH777luJL2K5DvhLhbsfWjZQkzo2P4aQXJEDP16y09DwtfOlpmnHTnWF9tGLZYrr0sp5UqAoKxUuwX3xhLo3/zjTKKs1StrSR29gsOvgqDQoNpMKE8IAXB4Wn6vrgero2cK1SvlwOXJNSQ18n7qNPTu2ia74zoXbLGrE8WCYzn9TDh/bT1o0iQvG4KYY+N0/NeYT+7da7KTFRf7m41eAY8KFtePlylGO3gkJZmRyCQXs+tHplrnx7CV186eVU2KmL4Zgwa8uyJa86DsCkjXIsxR8vq2RxyImFpfp3KTI5D3/HSR7X/0Qf+jLza9pR+ZHwfa198eZEUF5BVwjLZgK9L35keWZczL4PhAL0QMID9EzL58KyqkUeX/3JyQGqrApSx5b64q9jVsNlu4klAUo/lEzZfduxI259+Txvsgg3KoszsmhsmVK77ZNeYqGakZRBzz7+V/rJ7feYnWbU37OP3oH9X9Hnn+5SIuzHOsGHNtaEw8uPhw+t1TOyet+zWp4b+ZpilGN1HAc3GEUqo1rMH8+8tYhu/uHkWFflSvnllRX08rvL6KbRE6l1VgodPxMeN4EraV/UzZW6UIg7BOIqaNkSu2LBI5TXrk2YoJVb5zTHoFBle7+glse/oeOFhdRGPMRWVlY2ELQsMtdeegnViLwpCQG6sVvPBoKWH0CVt7ziASm1JJmqD5ZTQUkH2hbaRlclXEUrE1ZS306DqKJVNe38ZjuNnOg/QTtzxp2UcO6CdXX51qXULfNy6hzsTEmVYhlv3VY2TwefpmsTrqWWCS3DrpKFoYU0UPwUZHdUIgPLfVYP1hygjV+tpTGjrwtbDiwf4D77eAd9X0xq2gRBG6JzZdXk5W17mqugvbjH5ZTaNoNKqs7Wi04pIKUfoZ7w5DHO1tGA+Lny7AhaFVpFXyc4DyQyk2bSGvHzpfjRE6BaC6LWUqgWfGwZzPmmtXI5VhVwaSEqrBORRgJRTxRqRSRf72bbQ2HbHghadx69GpayY9tG5YVz774DKSkpOVbVGJYLQRsZeVMUtPEcZIhyHE/azbOuuApatso++cgvGwja5mqhzRJRNcvEvrOZYpue410vorbt2hsK2qwuF9G7+7+kUmHBbdOriNq/uSTMQqsWtGzZrayqpPbZ+bR74ya6Svy8e2YFDQgMoKpQFX0kfsZmj6c3q96kbl16Urv8PFr58VtUNLiRLLQ/+hkFqoS9pSJER/btp03/WkdjL5pISeeESBUvxcpKz9GLJ+bTLYFbwq7SN4Nv0uWBy6mT+JFRgnk58DMVT9PE9lMpq4OIcMr7rdb5r76+9hXqN2QY5QlrszqxJXXL+tU0ZtL0sM8haP2/D61fBW3L9m3oXHVJvU+nVozuE0twWbzVW07rgtLw32bi0cqtjgUtlyMFrRR/bCmUy0zVS06V3+usiFnif/6bE+fl379a86mIxp5H376oZ31gn0hWSbM2YtuecELYtsdsxFj7Htv2YNseo5ECQWvtGjLKBUHrjB+ONicQV0E778U3aWHxB1Q8/8F6C20Hsdfh1VPvoVm3TqGbf/RD8xZ7MEe0PrRtx4+k1DUfUMn9Dyj/zBL70/6gVSqdFQ+yvyitonuEdcxy4kBHXwYp6bCwcB4M3zpGXQYvtxVmYKoRwYyUlFUXgVduEZNaG9zIMPGqjIq6wEm8fY2MdF5Su8xQCbIkEvurkhCwvETYalIHW5LWVaM9V62WiXzREYAPrTVu0jdU+oSy4JQ+oOz3yUt25fJczuNW5FJp8VQLUCkg5ZJYtfBUi0tpHXUiOK3R8V+uaC20/jtTtBgEwgnEcx9asAcBrxBIFM/dOdmpdPRUw2hm+W1beKWZaAfrinjuQ8vE5fJiNf0//fp2Gn3Vhb3//NYz0QhaFrIsaHl7nmNbP1X+t5KeEHuR/ndG7XIkoyBRVsohFriHxL8TtT6mHL3XSkAkS2XbzCRFtOKjmiXaw9GB2bIqfueIwEq04GYSbMkmukbL3lwFLQvU/UJ4SiHKApV9R3n5rhSrMgCREx9RKUiluJTWUClGWWyqfS/lklqI0NheEhC0seWL0r1LAILWu32DlsWOAARt7Ni6XXLcBa3bJ+CF8qIRtHats+rzlPvT8r60r52tpO7V5lvJWOak2rKGl/uyhZX3WQ0JayonxeIayarK+6oKMcpJClP+XRGnnOq2rOHIwAnC2osozJZ7xlMZm5KgNRKpbEG9sNT366iCGGmFKQtOuTyX/T7lklzuXBavHOCHj0HyJgEIWm/2C1oVewIQtLFnjBq8RwCC1nt9YtSiuAra3z36HL3y+rukDf7k5217oopyLKL2Zpw4IaLwltLpb3ej9MyWdOb0SWqb287Qh7Zj566076u9IlpuAl3Wow8tX7GMXpgymYZu3kzXtGlPWSKgiQwKVe9DK6IU7xJRiUd8dxR98N6yZhHlmAf6S8/OpTETp1NWy3Bh8Mail6nfwKHwof3pfRFnKLb8bdu0VvF1LBowVDevWtB6OShU+0s6UnlWhbKsl8XpwXO1IlVG6K21tl7YZzQplETDE4ZTtfhZLX60icVmRyE8pRBlgcrLenn5bsfMTlTx9TlKS06ny/sURYxca9QBXo1y7PSW5kbkZXUb4EMb3iPwoXU6QmslRUviAAAgAElEQVSPhw8tfGiNRhJ8aJ1dY/ChdcYPR5sTiKug5aBQd944qcHy4mYXFOrsGco4I/5lt6IzYqlxRkaWbUHL2/bsmXAtlX+0lc7m59N1pZXUMlgb5RiCFoJW79I3i8osj/GLoGVhWut3eoY+Pr4jbNnv7uMi8FnFGFovfjiyblD8REosTNlC2iq5FV1e3k1cQ2nU7tKCelHK35kt523K2/aY30oi54CgPUBbNqyhUWK7tECi2MPa5QRB6w5QCFoIWghad64lbSkQtLHhilIvEIiroGVL7PzZDyh7z6pTc9q2J0WE4684c4oyzglLzrcvE9uelEYtaHkf2tc+/Yg2dCyk1tU1NKW8irLF3owQtBC0TUHQ7maRKoIm7Tv9FZ1ZdZg2dN2qiFcWsVb8U6+n62lPuljV0DpFWFRbKoKUram81Ff5XSzvrbW2XrDky/2SE5OSxPYZ9vz6IWiNb60QtBC0dh+8sA+tXWLO8mPbnsj8YKF1Pr6enzebbrxtlrOC4nS0nH9uuOVuBIWKE3On1cRV0DZFCy13gB0f2qyH/kD8r2LYCDrx+ltO+085flZmCi1ITaSOwkL7ZInLPrWutBCFNDUCbvjQ8lJftqRKC6v0WbUqWKVVlX1S+fcCseRX+qhasag2tT7B+cSeAHxoY88YNXiTAHxovdkvaFVsCcCHNrZ83Sw9roKWlxbf9/s5tGLBI8petJwOHzupbNvj50jHdgRt7pWDKXnXDkXMsqh1K0lRy4GinhKidkiVi4Gi3GokymkyBKwKWilaa5cH7xMCdociYFnIqn1X9cBIwcr/c3RftWW1e06vJsMSJ+IfAhC0/ukrtNRdAhC07vJEaf4gAEHrj37iVsZV0HKFetv26C1D9g9C6xZa9VY9R/Ycdv0Upajlgv/7fBXdUm5jn1rXW4MCmzIBraBlocqilX1ZrYpWXurbPae3EvWXBSoHVuqR20tZCgzB2pRHj3/PDYLWv32HljsjAEHrjB+O9icBCFr/9FvcBa1/0FhrqZ0ox0kiEnFqSQmVZWVRalY2ZWZm0blzZx350H6yaxvlts8jDvjDUY7XJSfS+5ktKKWigga2z6dvb1iPKMd1XYkox0F6as7DdHOUUY6ltXXXNzvom/ID9NHRj+hU2SlqeTyDUsXPOvFTodnTSStau7XuQVX7zlNeVgENHHiFpYssKK6bpx57lG6+415L+WWmt5a+Rj1696OCjl2UiM1WEnxoaynxfMJ+r0UDhlB+QScr6CLmgQ8tfGjtDiL40Nol5iw/fGgj84MPrfPxBR9aZwxxdGQCELQOR4gtQVteTqniX1mr1pSanhETQctRjremp9GqUDXt69SJRq1dSz8ZcQ1tfxfb9kDQWhO0Z8pP06o1xcqS4D0tvyQWsJGWCA+hIVSY3olK21VQfqtCurxtT8WXla2v2j1VoxGMELT2Jik3xCMErT7zaC20Rw5D0NobxUQQtHaJOcsPQQtB62wERT4aUY5jSRdlM4G4C1oODPX1gaO69LX70/qhiywL2mANJQmraYrYWac8U1i00tJjJmg5yvHemir6x8VdqPf69bR5zBi6ffES+k7fwVRVVUW7d2yhkWL7iHeKF1G37r0pN7cDrVpZTEX9h1DrNjn07vKlyu/txT62Mg9bafihbKfY13bk2ClK1yxbsoB6FQ2k/MLOigVs/pOzadL0GyldiPUyEb35w3ffEnvfDqZ2HfJJCpmk5GTlGE56E5zeg1+p2Ld34UtP04yb7gwbEiuWLaZLL+tJhcICp94KA/vQ6l85etv2aJcK1y4b3klXiJ+Q+Hlf/KgTLwVmsdo3r4i6i+XBuWmFFDpQSRWVFdSzT39KSUmNeNlC0Eae1bAPrbVZH/vQhnPCtj3Wxo1ZLmzbg217jMYILLRmVw8ErTNCONopgbgK2n+//2EqyMul38z6sdN2e+p4K0Gh2o4fSexDe+Z/HqLzt4ULs1idzP5AAt2UlUK7kwJKFfCrjRVpf5S77uAHirX14Ll9plZXKVz5/8vrRKzar9VqUCh/kEErQcAagWgttNZKRy4Q8C4B+NB6t2/QstgRgA9t7Ni6XXJcBa3RPrRun1S8yzMTtIEzZ6hd327E/3MwqGD2hX0v49HW/85IpifSkpSqOPrxo+cqlS1+kJomAbWv6/pDHyrBmtgSq5dkJOGhBd/RFa5GhCBom+bYwVlFJgBBixHSXAlA0DbXnm/e5w1B65/+h6B1oa/MBK2Mbuzm3rN2m70uOUA/Edbas2JpMG/tc09pNaIg24Xo0fzS8vrxiZ20+5uPDMWrtLoOzv+OEk1Yz8fV6ilC0FolhXxNiQAEbVPqTZyLHQIQtHZoIW9TIQBB65+ejKug5SXH468ZTqOvGuQfQiYtteJDmyiitHIE4sTEREoSkY0rK0RwqBj70FZWVSo+sLuEz+uI746iD95bRpf0H0oPJYUoe+smeuFHP6LbX3qZRnfrKSxz8KHdsn41jZk0Pay3ORjRgf1f0Wcf76Dvj57YYCTo+aSqMx0+tJ+2blxLo8ZNoUCgdtm3Nj015xH6t1vvFmOj1oKuTUcOHSD23fn+6AmUlJSsiFW2uLLllZcPs5jldI/4mSd+zoofTixeu+f2VgI0sXgdUjBCiVzrJMqxum1qQbtr+2b40Ao4QeEnv33zesWfm33Ho0nwobVGDT604ZzgQ2tt3Jjlgg8tfGiNxgh8aM2unsjfIyiUM3442pxAXAUt70H7wB/nUfH8B81b5pMclgRtZSUJRUOB1DRKTktrNEHbp98QJSjUit1b6aEZ19OoBQvos6IiurpNe7rkzaU0QDyEIyjUhYHX2IKWlw5v+mw17d35KW1stZlWH1qlRB7WJhavE86Mo+Q+WdSjsLciXvUSBK35pBJN0CpZKgStMV83Ii+rS4eghaA1v5rt54CghaCFoLV/3Vg5AoLWCiXkcUIgroKWfWgjpSYZ5Zgts0JEhoSgTWyRTskpKY0uaDnK8VBhNXzmrcW0aEA/OpSfT9MWv079+g+mUVltEOW4bpDGW9BKX1e19bUTdVIiDr8sfqrET+12OL1Iu2z4xWfm0PjJMyhDrAAwShC05lMlBG0tI2zboz9Wol1yjG17zK89bQ5s22OfmZMjsG1PZHqw0DoZXfq7WjgrMbZHy/nnhlvuppzsVDp6qrxBhfltW8S2ESjdFoG4ClpbLfNR5kg+tNn/eT9lzJ2tRDbmCMdeS+xb+3CLZOL/OXHQqF+UVSn/I8WWAC8fZp/XdYdWK0uHWdBqE1tbeckwC1jpAxvbVlkrHT601jghV9MiEK2gbVoUcDbNkQB8aJtjr+Oc4UPrnzEAQetCX0UStLlXDqbkXTvoxOtvEQeF8mriKMiPpCcpQaMgbGPTS1LAvv3lG/W+sOqaWqZmK4GaOOLwEPHPSdCm2JzBhVIhaGNNGOV7kQAErRd7BW2KBwEI2nhQRh1eIwBB67UeMW5P3AUt+9HOuPMPYS2aP/sBKupxiX+oaVpqJGh5m54O38pTtunh7Xq8nljMzktLpCdaQNi60VdscWXLq5GAVS8fHlo4QrHA+iVB0Pqlp9BONwlA0LpJE2X5iQAErZ96C211iwAErVskY19OXAVt8coNdN/v59CKBY9QXrs2ytkdPnaSrp56D/3p17f7MvpxxKBQbO1kH1oRXTYkfGc5kq1XfGhHjp1M7xQvom7de1NubniU4+XvvEF7hg6juRd3UQJHbevbl9oVdqab93xJNZs30MixU5S+W7ZkAfUqGkj54rsEca7zn5xNk6bfSOnpGVRWVkofvvuWEu21XYd8kr6JScnJyjGc9IIE6PmalZaep4UvPU0z/v/2zgRMqurM+y/dzSK7KLI1uxqRfdUGBCaaTyQixmFRIVEDSczoZD4Tl3wy+MyTEb8hLvjMyLiMa0QFJCiQKCbEsAnYoiyCmA8hgihuKDt00w3feW9zm+rqW3WXunWrqvt36vFp6TrnPef+zntv17/Oed8z+dYqd8TS11+V87v1lML2nazMsnZ56bnH5MofXCdNmlY97/cPr8yR/oMGS5t2HarY0WzEYWQ5tmNgVcCqkM0zCYdHmNfz5nXCvGwBe3nnK60MxCpg/WY5TvRIIIa2Opkli+dLj979pZ3xD/VPL4UY2gpKxNA6e0tQQUsMrZe7r2odYmj9M0ulBTG0yekRQ5uKdxFDmxo9WnshEKmgHTXpLrn1pmuqCVcVuo88syAnsx97ErTmw/RJI7hyRdC++afF0ndAkZzRtlBeWPKK/GFAf9ncpYt02LVLvr96tXS5eryMLD0hby2cW+sF7VP//YB82udrWb17RbXzXy+se6GMLLhC2hedL93PqRCw8QVB6/6Y0uRcTz8+U6b80+3ulWNqIGgrvmgKUhC0CNp4AnaSvG0fbpZLR44J4la+2iBofeFKuTKCFkGbshMlMUCW43TSxbYSiFTQapZjp+3F9jbkGpfl+JSP5ekZo+ZzZa4JWj3HVldxO5hV3D+e20Xe+Ooz6bt2rTw/caI0NSvPv/jdbLmsz0A516x41pYVWo2DVfGqq7Brd6+UaXWmyW/MS4sdA6srsLqFuEXpmaGfQ5voscUKbXUyCFoErZ8/816+OGGF9mNB0PrxKu91N60vto7V691vkHXmeNQFQYugTafPIWjTSRfbkQvaXFyhffLFP8rMJ16u5i2x4tsphjZ/105p1a9bzsTPerkdNMZ2bv18eaNefmVWZG1XkzMj67mvq0/FwTplItZVVxWvKmITnf/qhW2u1SGGNtdmjPGGQSCooA2jb2xAIJMEiKHNJH36zhQBYmgzRd5/v5Gu0OZiDK0K2nc2fCiP//ZXCek6CVo9qkeP7Dly3Q9l33897n9msryFHvPzpMmMvMSIW7voqu1PjpbJ5ebIn+5luXvsj53Mad6HL1ixsLFF42BVuBa1HWr91H/XxoKgrY2zzjUjaPGB2koAQVtbZ752XzeCNnfmP1JBq1hyLctxUEHb/J9/Jg1fet46e1bPoK2pxc6MrMJ2S0HFWbZadNX28tJymVBSbm1PzvZiZyN2ioVV4WpvI86lTMTpZI6gTSddbGcrAQRtts4M40o3AQRtugljPxsJIGizcVacxxS5oM0dNBUjjd9y3LGwVZXkVUmTQqmQy8szGXhNDK2YbMc5kuXYTgplx9BqJuS2Jk5WM3W+v+GdhFmOn3n6Efnkxz+Rl1o0kxNHjsiVixfLqqFDpX2rtnL54WPSY+0aaVRQkDVZjpfsWGzFwn686//JhYe7ybPmpUVjYQeriO34fela5zz55uPP5XujflDNdTVxztOPPihTbrnD0a01e/J7xavliqvGGTc4LfZjK5MUyv2J4CW20ckKMbTE0Lp71+kaXvwsqKAly7GfmaioS1Io/8xSaUEMbXJ6ZDlOxbvIcpwaPVp7IYCg9UIpps7P7nzQ+pe9BVkF7bXXXitz5syxfn/SiFhNkKQ/LQljhEz+qSNl9Gf9+vXNkTZHpVGjRtK0aVM5cOCANGnSRPbu3SutW7eWkpISqWuOtmnevLnUM0f9bN261Ryr01LOPfdc2bZtmyWMBgwYIK+++qqMHTtW1q1bJ+3atZNykwnW7lv7UDsdOnSQNWvWyOjRo2WxEZdDjbjUpBPFxcVy/fXXy9y5c6WfOZKnbdu2snDhQrnkkkusvhYsWGD9f/v27SvrdO7cWXaZLMdqb6JJCqVl9uzZMnjwYNH39JofeOABufnmm6WscWNZeviwLDd9LjV9flhYKPVMv4NNhuT25tr6mTY3mvaNzO/uv/9+ufvuuysJax/Lli2z+rC5HTp0SB577DG5/faqWW7nmSOF+vTpI127dq2sq4YefvhhufHGGy2GseWpZ56S4+2Pyxt735BlHy+Tfcf2WW93Mq+RBSPlWI9jckPvG2REpxHW75Xp9u3bZf369TJhwoRqnqKC9t5775V77rnH0Yt27twpy5cvl0mTJiUUtNOnT5e77rrLJAHRLz2qF+WxYsUKq3/1i0Rl5syZMnnyZMunEhW38drt1I+0T53TYcOGJbRnv7HWJAo7duyYFBUVWf6drKj/rTZ+oNc7ZMgQV9v2PNx3330ybdo0T/XtSi+++KJcdNFF0sVk6Paa7TfI+Oz+1F9WrVpl+aLea0HK/PnzpWfPnpZPJ/IJN7vx96Vbfaf31VfUjs5/p06dgpio0iaMMcUa1PtK/XTEiBEpjy12/oL4mZcBOD3XvLTzWqesrExmzJghU6dO9drEdz37ebhx40YZN67i6LZ0liPmS9FZs2bJHXc4f2GYjr53794tK1eulDFjxpjj5xqmo4uENvW5WFpaaj0Xkz3r0zUoffbpZwK95/WzQyaL1797UY5R/ULvAf1sZH82ibL/ZH3p3x19BmTj2Oxxq3/Ff97LFn5O48jE8yebeeTC2CIRtHbsrNNZs8ney0aA8RmZXY/tMaIgL0/jTGv+Cq3TObTnmeN/3ulQKAvyTkrD4jVy0Ij01UbQahl6pEQue/hB6XHrr6wtylrCPoc2Nh72O592kWXm9bF5abG3Eveo31P2bv1MrrzmuiouZx9T8bcPNrFCG3czxm453rxhnZSUlkjPPgPMlzDJBW2Qc169rJw5PStYoWWF1s/fEC9+xgotWY79+JSfumQ5Pk3r8892i66Ifm/U1RnJ+Ow0b6zQ+vHm6nXJcpwaP1q7E4hE0OqqZrs2LeWe237kOKLfzPydfLrnq6SJl9wvJZoaTkcMxSeF0mRQmhSqpsfP+iWu8bZL6uWZDMn51k/9t100zlbPti06Xm79TCXuNllSJxWx4y+YWKsTOvmdN6f6xNCGQREbuUYgqKDNtetkvBCIJ0AMLT5RGwkQQ5s7sx6JoE10/qyNKZvPodWjhl6bPaNyRvXfF/fvXkWcxwvaliMulrqbN8nehUukZIj7ls3ccZfwRqpidktBHesIIE0o9UneaXGrveiKbY/yisRS3ctOugrcZCJ2ZJfRlcfq1NasxOHNXIUlBG3YRLGXCwQQtLkwS4wxHQQQtOmgis1sJ4CgzfYZOj0+BK3LXOnq8qri9ytrTRjz3WorzbGCNm//fmndtY1V//Pte6xzaCnuBFTQqrBVgatCN371VkXtYLN6W2SOA7IFrhcRO7LLVVaSJ0q4BBC04fLEWm4QQNDmxjwxyvAJIGjDZ4rF7CeAoM3+ObJHGImg1VXN6b+eIn17nOdIRldop/7Hk1VWQnMFYdIY2lOZbWtzDG2f/hfLOa3bmoQFx2XTe8VSYBIb9eo7yJpep5gKjaF9++23pOU14+VPZ9STzfl5sqnkiPzcJIV6QJNCmUROTbe+Iu0/eFW6f9RANprXR+ZVbl72Suzxtw/KVddMlCZNqwrZP7wyR/oPGixtTMbm2KLZiN9du4oY2lNQNNnO+ndWW4mU+g6siHeOL8TQVmdy4kS5bFi31mQ1zxf1+yDlL28sknPPv1AKO3SysqIHKa8vetncYwOlbSExtH74EUObnJadU2Dbh5vl0pFj/KANVJcsx4GwBW5EluPk6IihDexaCT/vpWYxva3t58+NP/mFnN2svnzx7bFqHbY964z0DgLrvghEImjdznJ1i7H1dUURV0bQDqr84OyUFCqIoH3XCNorRo+1hIGWL48ekd/PfkzuveAjkY3PVs7weBkvG885IR9dNEoadbtaRuY1tWJwS56YJVf/4DoEbdy94HbMkF0dQVss+SYLc+9+F/l6miBoE+MKQ2THWn+v+C2TZk/MF1TeMmV7mUgELYL2y88/s5IRDb9slDRoEO2HVZJCnfY/kkJ5eWKdrrPh3bVWBua+Ay4+lYTUX/soapMUKgrKtbuPSAStItZVWi2x8aj273fu/kK2LDstVHJpShC06RO0b3/+lsz78AVZ/0mxjDk0Wh4wLy1WduJuk+To9gL50Kwgrjivq3wbc+zN/zbH9rx8ww3SoXEzKw73QrNNWWNyN/7+JVZok5ybi6Ct2DWgOwkQtCdERWjfgUXWGdSpFgTtbon/oi5VprHty8vL5Lkn/lN+/PNfhmm2ii1WaNOG1jKMoEXQBvUwBG1QconbsUIbPtN0W4xM0OqF6ErtzCdernJNTjGp6b7osO3HxtDaCaG+WrZWjvfoFXZXNd6exsUu2bFYnto0S/T/7aLJnCb3usXaVuyU2GlN3Txre/IHBZpFOa9akim1o5mTBxth2/7EyUqRq/9P8U+AGFr/zGiR+wSIoc39OeQKghEghjYYN1rlNgFiaHNn/iIVtLmDxd9IbUFLQih/3OzaB0r2GxG7yFqNXfPpiioiVldjp/S+Rbqf7e/LAU0qtdoI27WnxK3+f2yiKbsTFbnty43QNau47U791H+ncmxQMAq51QpBm1vzxWjDIYCgDYcjVnKPAII29+aMEadOAEGbOsOoLCBoQyBtC1o9qkdXaMs7dJQv3tsaguWabULFq4pYFbMqau0yvtsPK8+KDZOAZlLeYlZwbZGr/x9/XJDdn67cdjci117N7W5ELkL39GwgaMP0TGzlCgEEba7MFOMMmwCCNmyi2MsFAgjaXJilijEiaFOcK2Jo/cXQHio/JJ83/1Ieeuc++fzAZ3KneU03L12JHX/BRBnQcJBsXb+hSlKoI0cOy4KXnpFJk2+tMltLX39Vzu/WUwrbd6pMIKUVXnruMbnSY1IoXbV95/PdsmPNSvlg0o9kS34d+cT8p7/PN0kWumzfLv3Xr5c5EyZYfccK3W6lZXLg4d/KyH++0/p9fNHsye8Vr5YrrhpnEjXkOXra048+JDf89BcJM9p6TY7x4rOPypixk6RR4yYJPZqkUO43OzG0FYzUV4ihre4vQQWtZm8nhtb9/outQZZjf7xSrU2W4+QEyXKcmoeRFCo1frR2J4CgdWeUtAaC1pugfX3bIllb/Ff54Nv3ZbV5aencpKv88PAkkzDs2sq4WKcPfukUtDoOp2N7dOV2Td5J2bPr71JuVt7nGUEbv5pbx3zon3bvvfKbe+6xtijrCm7FSu4JKTQCt/2uXfLVGnMcEIK28h4KIhi9ZJ91ukmXLJ4vPXr3l3bmCw89gshLCTI+2y5ZjhMTJikUgtbL/YegPW6yqw+SgoK6fnGlXB9Bi6BN2YmSGEDQppMutpUAgjZFP0DQJha0f/rTK/J2frG8+c2f5IsDe2SweZWaV2G3rtZq7MBWRfL8k4/ITTffVjkL2SJodUB2Vs+/fbBJvjfqB9YY7W3L+vMDs+ja7f7/KzOnTXOMz+24c6eMWL5cFk6cKO1O1rHEbjMjfDXrclOzoKtbmv8860FWaF3uQQStv4dUGOKRFVpn5qzQfiycQ+vvfvRamyzHp0l53ZnklW0Y9VihTY0igjY1frR2J4CgdWfkWsOOoW3dtY1oYqjPt++RE82aubarqRXmbX3eMcHTLwfebW0tdspSnOssdIuyblXWLcuaaXm/+Xfs9uVk16fblQt1ZVdXdU+t7tqCt5kRvtmYoIoY2lz3WMYfhEBQQRukL9pAIJsIEEObTbPBWKIiQAxtVKRT7wdBmzpDUUF75G/bpVW/bpaQVUFb24oesaNxsZroKfa4nXQleMolvrFid7dZ2f3EHC+kK7y7NV7X/HQr9nZmFbwqdCu3NJ8SwpkQvQhat1nj/ZpIAEFbE2eVa/JCAEHrhRJ1ahoBBG3uzCiCNoS5UkF7/PevSIsfTZCSIcNk78IlIVjNDRO1cTU27JmJFbdBBK+OR0WvClt7pVe3NusxRPrTXgEOU/giaMP2AuzlAgEEbS7MEmNMBwEEbTqoYjPbCSBos32GTo8PQZviXNXGGNruwwfJyx/Olv3vfSl/LXtTdpjXSfP61/x/le7/a5AM63qZHD16RFa+uUT69L9YzmndVuxkOwV160qvvoMs6k4xFdkeQxvrLm5Zg8PKcrxm3Ro596pr5NN69awV3U/Nyq5uabaF8H6zyDvl4YflycmT5UDTpgk92k5i9cy/TpOmur05ZsW3iRHDtvhtZ2J7t5vszM2Npb4DBzvaixW0mzesk5LSEunZZ4DUq1c/6R0VJOkSMbT+HlLE0PrjZdf24mdBBS1Zjv3PCVmO/TNLpQVJoZLTI4Y2Fe9y/ryXmsX0trafPzf+5BdydrP68sW3x6p12PasM9I7CKz7IoCg9YWreuXaJGjffP912bLxPbn/0AwLxCTz+qjRDplw0Q1SVDhMlr+8WK657iZp2LARgtbwCUvQ6h/S7426OmnmyxfMsT2Dxv9QtjdvZhJUiehK7wHzX6zwPXDyhPzL9OlWVuZkxTwUZPiKFXLSiOb1l1xSufKrgle3POvPlmbbdKH5Wb+kXMreLZZGx45Jp74DpXNBPQRtfr71RU6Q8pc3Fsm5518ohR06JTzKyc0ugtaNkPP7CNrk3OwkeSSFCuZfbq1ICnWaEEmh3Lyl6vsb3l0r5eaYwb4DLjZHBOb7axxRbZJCRQS6FneDoE1x8mu6oF206AU51OKozNrxsOQdEBlSZ4g8f/J50djYQXv7ybCiy6VtYUfrWJTZTz2CoI3xpygFrZ9zaC835+aq2NUVXifx+6nJ3tx35QrZZ87OXT5smOsdUrR2rdQ3gnZNUZGU1K9YobXP5dUt0LFCuGlJqTQpXisNCgqkpfnjq+9pHS2JtkR7ERpOg+TYnor7Mkghy7EzNVZoyXIc5H7y0gZBi6D14idOdRC0QcklbscKbfhM020RQRsCYY2hbdS2ZY3KcGwneVqyY5EcKNlfIVKadpTJvW6RkV1G18hMxSG4Qo0zoQmtdEuzJrDS1V5bAB+rly/7zNXuNduW9ff6vhYvSa7cINnxwFrPFru2QLbEsenT3iKtdexVY/2p71m+euqnW1+8DwE/BIIKWj99UBcC2UiAGNpsnBXGlG4CxNCmm3B49hG0IbA8vPUjaXTheTUiw7FTkic9akfPjdVVWQoELBHZsK6cMOLy0BIBQgsAAB5MSURBVNGyakBsEaxvxAphFb4Hje7VLM9aVBzHimEVzto2zBIrjlXsqujVUmj+3+7JFsn27+3+baFsXW+MWNZ/I5jDnKXcsYWgzZ25YqThEkDQhssTa7lBAEGbG/Oko0TQhjBXR+f+Xs64dqwc79FLvlq2NgSL0ZrQ1Vg9bkeP3bGP3Glav5lZib1K9OzYmnhubLSEa15v6cxyHC+IlZ698muLYjs+OPY9Fcj6+9jfRUE+VjRb4jdGOKtY1tXkWJmuxy7FFhXXsSVWSDuJaf1dmBmro2BUU/pA0NaUmeQ6/BJA0PolRv2aQABBmzuziKBNca40hnZs/TNkfslRy9JJ8wFW49b0Z56JQdRSEaR/0kryUtdkqi0tOSb1GzSUxo2byKFDB6RRoyayf983clbLc6S0tFTqmkzAjZs0k3p168mO7X+TM1ucLe07dpZdH+8wtupItx59ZNnS1+TSy8fI1s3rpWWrNqIxb6ZT88m5jtWu9HiptGrTTjZveEeG/cMVsuKvr5tENUVy/Phx2bLpXRk5eqxofOy6k+/K3E9my1XmtdK86jc9Q26se5MMHzJSunT4jvz5tVfkgu69pW27DqKZOt839kaOHmdd1+uL5lkZi4mhvcPRi7I1hnbKLc7jtS9CfXf9O6stP871LMddTOblM0yCJb0vVOyq6NWiSbNsGWmLZOv3J8rl7LfXyEkT47ujaLC1gqwlVizrv522VheYpBxDV62SMpMUatXQoYGeLGPnz5fNPXvKR127SpkZg9+iK8cjX3hBNg0ukj2dOluJvWIFdqy9RKvMluA2z5OGL8+RkqIhUt6hY2WzePHtxZ7FdcFcOa/fIGlxKt7e6br8iPT3it+y5q//oCF+ESWs7yVWO6igJcux/2kiy7F/Zqm0IMtxcnpkOU7Fu8hynBo9WnshgKD1QilJHUvQHjws85s0smrlgqBdumaR/LH+69Lh0zay3rw+M6/JDX8i/QcMlku+c5m8+afFJltekSWIEbQfy98+2GSyDP+gmhdEdWyPlyzHfpJC1SZB26N3f2nXvpPn5EhBjhWyV5RPGkG7fd1aOVg3X1oOLLL8xRbLsWuwKqZji70FW3/XbuEC+aJ7D9nZpaucOCVo48V0hd3E27N/OHu2vDV4sPy9c4WgDVLyjKBVO8tMUrCdnToFMVGlTRhjsg2qEO+7Yrl+Rygbhg+v/GLCaZB2DLaXC2heViaDHpghH9x5d5UV9di2SrNB/Xw5arJ765zadONX3eP7y9/9idR7a6UcHTtBzDebjsNJ9mWB6/jN2PfPminN/qXql1Vhbo1X/z608++y74PN0v7Kq6sNKX5bvuuYXSqUHj0qq2b/j3zXHJsRRvHyhcmXn38m+rwdftkoadAg2iM5SAp1epbJcuzP40kK5Y+Xl9okhfJCKbvqIGhTnA8VtOO3b5d5ZkVFS7YK2jf+/Ip8fda3smTbQul6tIu8YF43Ftwk+W3qyw1FN8u2tzdZIlZXgxG0FU5hH1OBoK1+k3AObXUmJ8zq7gYjaPMydGyPLazXvTpPOvc/vRoauzIdO+pECbwswe2wQhu7zdvpsZksIVifOS/Ie0Zk26vGTu39xFAPX75c42Vk+YgRSQWtn8d7nhFsU++7T/592jQ/zTzV7bhrlwxftkxemDhRyhMIWk+GElQqMIL21zNmyL1Tp6ZiJmnbfMOnq/lb13fjRpk7rmKXTjpLwyNH5NZZs+S3dyTfURLmGAp375ZLVq6URWPGyOGGDcM07WpryOrVUtfs0HpryBA5bnZpRV3qmd1b4+fOlRXmS6xdHTpY3ceGU+hjQb/E0Y1g6S6tzP3S18zD0vHjpSwDLJyur9eqlZJvdq9sNLtvTqThHk6Faa+3Vkl+WblsMmNLx/MllbHZbQuMf0188AF57tf/JwxzabfRwDx//vHR/5YXfnW76LbjcodEk7vivpxO+6DoICkBBG0IDnKidx/J27TRip/VONpsKlu+3iRPbpwlmuzJLhoTq7GxJHnKppnKrbGkM4Y2t0gw2qgJ+MmkbWff9jJGO4u3rrom+syu2/CbNiyQ/YePW6uzdr34VXcv/cXXiV2pD9LeqY0fVqn26bSTIFWbse2TzYuXfvx8YeLFHnUgAIHaTSCC73ZqN2CfV4+g9QnMqfrJ5mdKnf375Iv3tlaJNwvBdGATTtmKVcBqtmLNWkyBQCoEELSp0KNtrhIIGkObq9fLuGs3gdgEfU1MZvtyc2b4kZLqme1rNyWuviYT0NXZM5vUk6/3l1S7zIvObFCTLz3nrg1Bm+qU7TOncZ55pmXls6+PpGotpfaaoXjJjsXy1KZZldmKdTVWBSzZilNCS+M4AghaXKI2EkDQ1sZZ55qVAFmO8YPaSIAsx7kz6wjaFOdKY2ivnTNH5lx7rWUpEzG0x84okc1fbpQtX22yspSUmtfZ9VvKJRdeKi2+aZYwy7Gd8Klly9ay7C+vEUN7zXVVvIEY2tzPchxFUijbaTIdQ2uP4/VFL5vs4wMrs48HecRpwjO109ckt9IM56mWMMYUOwayHFedkfLyMnnuif+UH//8l6lOVcL29vNw24eb5dKRY9LWj22YLMdpR1ylA7IcJ+dNluPU/FH96/knH5Gbbr4tNUMRtSYpVESgQ+wGQZsizEwK2noXNpaPtn4gH5RskXzz0oCu7i17Sc82faXtGYWux/YgaCsmX4/XeXftKrkSQVv5pUxNObYHQRssyzGC1vkPQ9AVWo7t8f+HFkHrn1kqLRC0CNpU/MetLYLWjRDvp0oAQZsiwagFbemJElmft0Fa7W4h88xrUJ1BcqDeQenYpLNc3PYSadaguedzaBG0CFon969J59AiaBG0Xh/xnEObnBQrtF49KVg9ju05zY1je/z5EMf2+OPlpTYrtF4oZVcdBG2q82G2HMu//ZscvHOq9V+6ilOSp+5n95IpvW8hW3G6oGM3IQFiaHGO2kgg6AptbWTFNdcsAsTQ1qz55Gq8ESCG1hunbKiFoE11Fm66SeTZZ2Xffz0uR677YarWqrTXJE8PvXOfrPl0RWWSJ62g2YpVyKqgpUAgEwQQtJmgTp+ZJoCgzfQM0H+mCCBoM0WefjNJAEGbSfr++kbQ+uNVvfY//IPIsmXyze/myrFRo1O1ZrV3Wo21z47VjMX6/xQIZJIAgjaT9Ok7UwQQtJkiT7+ZJoCgzfQM0H8mCCBoM0E9WJ8I2mDcKluFFUP79TdfyIG6B+XoscNysPyg7DMvzVbcv6C/NG9xlvQ4v5/s+niH5Jkzsbr16CPLlr4ml14+RrZuXi8tW7URTeJiUiybLMd1iKF97jG58gfXSZOmzarM7h9emSP9Bw2WNnFZW0kKVfUmIIa2WPILCqR3v4t8PR3IcpwYF1mOd8u7b78lV4weK3n5JoFfyIUsx+EA/fLzz0Sz2Q6/bJQ0aHBGOEY9WiGG9jQoYmg9Os2pasTQ+uPlpTYxtF4oZVcdBK2H+fjZnQ/KquL3rZpDB/WUx3/7q1AEbV6DPPl2/175uvxraVzWSL6o84U0MK+CunWlsGVHadO0nXz1yR45s8XZ0r5jZwTt5FurzNbS11+V87v1lML2nap8SHwJQevo1fqlx9OPPihTbrkjqdcjaBG0ZDl2vkWCrtCS5djDH9q4KmQ59s8slRZkOU5Oj2N7UvEuEbIcp8aP1u4EELQujH4z83fy6Z6vKkWsitt2bVrKPbf9yGpprdAuWixzrqrYbux2Dm2dgjpy7NhROXTykHx78ltpal4HzauleZU3OmmO22knjRo0lsZNmlkrrTu2/w1Be+SwLHjpGZmEoE3orS8++6iMGTtJGjVukrAOgtb9gah/dDe9h6BF0CJo4wmQ5dj9+ZFKDVZoT9NjhdafJ7FC64+Xl9qs0HqhlF11ELQu8zFq0l0y/ddTpG+P86ya6zdvk6n/8aS8NntGRUuzxfdEr97y+ZtrHC1pYqctX2+SN/7+h2rJnTQWVmNix18w0fpJgUCuECCGNldminGGSSDoCm2YY8AWBDJBgBjaTFCnz0wTIIY20zPgvX8EbRJWe778Ri4b/0tZOu8haXNOC6tmtd8ZQVs2+ir58pk5lnA9ULJPNn+1SdZ+ttLKTKy/iy2IWO/OSc3sJYCgzd65YWTpI4CgTR9bLGc3AQRtds8Po0sPAQRterimwyqCNkVBm/dvdeRkncRGmjdoLn1a95Ex3xkjIzqNsP6fAgEIQAACEIAABCAAAQhAAAKpE0DQpihoNYZ2jnlda15anGJo809ltdSf9evXl6NHj0qjRo2kadOmcuDAAWnSpIns3btXWrduLSUlJVLXJIVq3ry51KtXT7Zu3SotW7aUc889V7Zt22ayHOfJgAED5NVXX5WxY8fKunXrpF27dlJeXl7Zt/ahdjp06CBr1qyR0aNHy+LFi2Xo0KFy/PhxKS4uluuvv17mzp0r/fr1k7Zt28rChQvlkksusfpasGCB9f/t27evrNO5s0lKtWuXZW/ixInWtc6ePVsGDx4s+l4ds1L9wAMPyM033yyNGzeWw4cPV/ZZWFho9bt69Wrr2rSNFv3d/fffL3fffXflLGgfy8wxSNqHze3QoUPy2GOPye23315ltubNmyd9+vSRrl27VtbVCg8//LDceOONFsPY8txzz8nw4cOlU6dOVX6/c+dO+etf/2q1iS3KdPv27bJ+/XqZMGFCNU/ROMN7771X7rnnHkcvUrvLly+XSZMmWfPmVKZPny533XWXFJisuk5FeaxYscLqX9klKjNnzpTJkydbPpWouI3Xbqc+rH3qnA4b5r4Vfu3atSYu/JgUFRVZ/p2s2H6g1ztkyJCkde03dR7uu+8+mTZtmqf6dqUXX3xRLrroIunSpYt1LV5KkPHFjnPVqlWWL+q9FqTMnz9fevbsafl0Ip9wsxt/X7rVd3pffUXt6PzH3y9B7IUxpth+9b5SPx0xYkSQ4Ti2CepnXgbg9Fzz0s5rnbKyMpkxY4ZMnTrVaxPf9ezn4caNG2XcuHG+2/ttcOTIEZk1a5bccUfyJHZ+7Sarv3v3blm5cqWMGTNGGjZsGKZpV1v697G0tNR6LiZ71rsaClhBn336mUDvef3skMni9e9elGNUv9B7QD8b2Z9Nouw/WV/6d0efAdk4NnvcTp/3soWf0zgy8fzJZh65MDYErcssucXQqqC9+h/Hyau/f9my5JYUqq4RqaUlx6R+g4ZG+DWRQ4cOGHHbRPbv+0bOanmO9QdN/5iRFOr08RZHSAol3xt1tRE4iQUtSaGq38hLFs+XHr37SzuTBduroCUpVAVHkkI5/2EIuuWYLMf+Pw6R5dg/s1RakOU4OT2yHKfiXWQ5To0erb0QQNC6UPKS5RhB29ESDLOfekSuue4m8812I7MKfURWvrlE+vS/WM5p3dZK2a7ZY/VIol59B1nUndK4O33wQ9CuQdA+PlOm/FPVFXq3BxyCtuK+DFIQtAjaeAJkOQ5yJ3lvQ5bj06zIcuzdb7QmWY798fJSmyzHXihlVx0ErYf5SHYOrTY/eOS4HDxa5sESVSBQMwiQFKpmzCNX4Y9A0BVaf71QGwLZR4CkUNk3J4wo/QRICpV+xmH1gKANgSSCNgSImMgpAgjanJouBhsSAQRtSCAxk3MEELQ5N2UMOAQCCNoQIEZkAkEbAmgEbQgQMZFTBBC0OTVdDDYkAgjakEBiJucIIGhzbsoYcAgEELQhQIzIBII2RdAkhRokbQuJoXVyoz2ffSLvFa+WK64alzDL8dOPPiQ3/PQXJmuic5Zjr7FEJIWqPgPE0BJD6+fxrjGiT7vEagcVtCSF8jMTFXVJCuWfWSotSAqVnB5JoVLxLpJCpUaP1l4IIGi9UEpSB0GLoJ1yi/OxEgja6jdOkCzCXoSG0y2KoEXQ+nm8e/EzBO3Hsu3DzXLpyDF+0Aaqi6ANhC1wIwQtgjaw83ho6JQE1EOzjFUhKVTG0AfuGEEbGF1FQwQtghZBu05KSkukZ58B5uzk5OfQImiTP3D+8sYiOff8C6WwQ6eEq/Zuj6zXF71sMokPrNw54Vbf6X2yHDtTQ9AiaIPcT17akOX4NCWvO5O8cA2rDiu0qZFE0KbGj9buBBC07oyoAQEIQAACEIAABCAAAQhAAAJZSABBm4WTwpAgAAEIQAACEIAABCAAAQhAwJ0AgtadETUgAAEIQAACEIAABCAAAQhAIAsJIGizcFIYEgQgAAEIQAACEIAABCAAAQi4E0DQujNKWONndz4oq4rft94fOqinPP7bX6VgjaYQiJaAX/91q5/s/Sdf/KPMfOLlahe4Zdmz0V40vUEgjoCbX8cD81L/tb+8LY88s0Bemz0D3hDIGgJefDd2sF7qJ/J1nvlZM+0MJI3P/N/M/J3MXfhmZQ9ogcy5G4I2IHt14k/3fFUpYvXB365NS7nnth8FtEgzCERHwK//utV3e18/3Lyz4UO+9IluiunJAwE3v4034VZ//eZtMunW6VazjoWtELQe5oAq0RBw892wfZ1nfjTzSi/+CIR9H4yadFeV57z++5pRw2TK9d/3NzBqp0wAQRsQoTrt9F9Pkb49zrMs6AeZqf/xJB9gAvKkWbQE/PqvW3239/lwE+380ps3Am5+G2/Fa31WaL3xp1Z0BLz6rj0ir/WTrdDyJWZ080tP3gh49Wu/94Fdn8863uYhHbUQtAGo7vnyG7ls/C9l6byHpM05LSwLTr8LYJomEEg7Ab/+61ZfB+x2P8RvP2P1Ku3TTAcuBNz82n6222b81EfQ4n7ZRMCP7yb6PJPoM47XLcc887PJI2rnWNJ5H9hEdbfmwD4XsEKbARdD0AaA7vemCNAFTSCQNgJ+/detvhdBG38x+tDXQtx52qYZwwhafAACFgG3Z3gUX97wzMcZM00gnfeBXpv9xT25QTIz0wjaANz93hQBuqAJBNJGwK//utUPImjtWEMe/GmbZgwjaPEBCGSNoOWZjzNmmoDbZ5lUv9i5498frbJzM9PXW9v6R9AGnHG/+/ADdkMzCKSFgF//davv9n78RfDhJi3TilGfBPz6rdf6bDn2ORFUTzsBr75rD8Rrfa++zjM/7VNMBx4IePVrP/cBK7MewEdQBUEbELLfTGkBu6EZBNJCwM1/47eHudV3e98pE+DF/buTFTwts4tRrwTc/NbvfWD36/VDvtdxUg8CqRKI2td55qc6Y7RPB4Gw7wO20qdjloLZRNAG42a18nJGWwrmaQqBtBJI5r9OD2k3f3ezZ5/ZrBc1Ycx3EbNpnV2MeyXg5rdqJzbWO1n92GN77P5v++k4EoR4nQzqpZVAlL4e2xfP/LROK8Z9EgjrPrC3MDt1P/uRqZWnoPgcHtUDEkDQBgRHMwhAAAIQgAAEIAABCEAAAhDILAEEbWb50zsEIAABCEAAAhCAAAQgAAEIBCSAoA0IjmYQgAAEIAABCEAAAhCAAAQgkFkCCNrM8qd3CEAAAhCAAAQgAAEIQAACEAhIAEEbEBzNIAABCEAAAhCAAAQgAAEIQCCzBBC0meVP7xCAAAQgAAEIQAACEIAABCAQkACCNiA4mkEAAhCAAAQgAAEIQAACEIBAZgkgaDPLn94hAAEIQAACEIAABCAAAQhAICABBG1AcDSDAAQgAAEIQAACEIAABCAAgcwSQNBmlj+9QwACEIAABCAAAQhAAAIQgEBAAgjagOBoBgEIQAACEIAABCAAAQhAAAKZJYCgzSx/eocABCAAAQhAAAIQgAAEIACBgAQQtAHB0QwCEIAABCAAAQhAAAIQgAAEMksAQZtZ/vQOAQhAAAIQgAAEIAABCEAAAgEJIGgDgqMZBCAAAQhAAAIQgAAEIAABCGSWAII2s/zpHQIQgAAEIAABCEAAAhCAAAQCEkDQBgRHMwhAAAIQgAAEIAABCEAAAhDILAEEbWb50zsEIAABCEAAAhCAAAQgAAEIBCSAoA0IjmYQgAAEIAABCEAAAhCAAAQgkFkCCNrM8qd3CEAAArWewGt/eVvu+PdHq3G4f9rPZdSlF8moSXdZ7702e0a1Ovpe+7bnyOO//VVFHRdb3UfcmJR3x8JWVj+/mfk7mbvwTce6sx+ZKn17nCc/u/NBWVX8vtj/tiuv37xNJt06XYYO6lk5rnhDXsZxzahhMvOJlyub3vbTcTLl+u/76tfLddR6BwQABCAAAQjkNAEEbU5PH4OHAAQgkNsEbMG1dN5D0uacFpUXo8J04RurKgWhCsAJY74r99z2o8o6T774R1nw2opKoevVVrzwjBek+r7a+nTPVwkFqdaxBW38uOzfJxO0sbNmC2CncTi956dfL9eR2x7E6CEAAQhAoLYTQNDWdg/g+iEAAQhkkIAKVXvlMdkw4oXdni+/kcvG/7LK6qhXW2EK2nZtWlorubYgt8elItdNEHsZRyJB67VfBG0GnZuuIQABCEAgEgII2kgw0wkEIAABCDgRiN8ynIySirO1726xVmR1lVJFXeyKrR9b2k+ylVEvQlDHMLDPBfLZF3ulbauzrO3AumqsRX+XTkHrtV8v14FnQgACEIAABHKZAII2l2ePsUMAAhDIcQK2qIy9DKett/b7sbGnW5Y9W+Xq/dpyE7ReYmhVWPbvdb4VM6vj0fHpau3/vPCHtAtaL/0SQ5vjNwjDhwAEIAABVwIIWldEVIAABCAAgSgIxIsvp63Itgi1E0YlGpcfW6nE0KqgtRM16VjsVWM/K6NBYmi99utnHFHMMX1AAAIQgAAEwiaAoA2bKPYgAAEIQCBlArp1VzP8xq/COsXOunWWyJbbCq3blmF7y7EKWju7si2O/QjJVAStW79+xuHGkfchAAEIQAAC2UgAQZuNs8KYIAABCNQCAipO/7h0jbXCGV9soRaf/TiRoA1iK0xBq+PXGF77aCE/QjIVQevWr59x1AKX4xIhAAEIQKAGEkDQ1sBJ5ZIgAAEI5AIBW5zqWONXYp2O6dF6yQStZj32YytsQRvL3I+QTFXQJuvXzzhywWcYIwQgAAEIQCCeAIIWn4AABCAAgYwSiE30ZA8kUYys25ZjP7bcBK3XpFBOK8x+hGSicdhbpW0mdkxx7Fbn+ImL75ekUBl1bTqHAAQgAIEICCBoI4BMFxCAAAQgAAEIQAACEIAABCAQPgEEbfhMsQgBCEAAAhCAAAQgAAEIQAACERBA0EYAmS4gAAEIQAACEIAABCAAAQhAIHwCCNrwmWIRAhCAAAQgAAEIQAACEIAABCIggKCNADJdQAACEIAABCAAAQhAAAIQgED4BBC04TPFIgQgAAEIQAACEIAABCAAAQhEQABBGwFkuoAABCAAAQhAAAIQgAAEIACB8AkgaMNnikUIQAACEIAABCAAAQhAAAIQiIAAgjYCyHQBAQhAAAIQgAAEIAABCEAAAuETQNCGzxSLEIAABCAAAQhAAAIQgAAEIBABAQRtBJDpAgIQgAAEIAABCEAAAhCAAATCJ4CgDZ8pFiEAAQhAAAIQgAAEIAABCEAgAgII2ggg0wUEIAABCEAAAhCAAAQgAAEIhE8AQRs+UyxCAAIQgAAEIAABCEAAAhCAQAQEELQRQKYLCEAAAhCAAAQgAAEIQAACEAifAII2fKZYhAAEIAABCEAAAhCAAAQgAIEICCBoI4BMFxCAAAQgAAEIQAACEIAABCAQPgEEbfhMsQgBCEAAAhCAAAQgAAEIQAACERBA0EYAmS4gAAEIQAACEIAABCAAAQhAIHwCCNrwmWIRAhCAAAQgAAEIQAACEIAABCIggKCNADJdQAACEIAABCAAAQhAAAIQgED4BBC04TPFIgQgAAEIQAACEIAABCAAAQhEQABBGwFkuoAABCAAAQhAAAIQgAAEIACB8AkgaMNnikUIQAACEIAABCAAAQhAAAIQiIAAgjYCyHQBAQhAAAIQgAAEIAABCEAAAuETQNCGzxSLEIAABCAAAQhAAAIQgAAEIBABAQRtBJDpAgIQgAAEIAABCEAAAhCAAATCJ4CgDZ8pFiEAAQhAAAIQgAAEIAABCEAgAgII2ggg0wUEIAABCEAAAhCAAAQgAAEIhE8AQRs+UyxCAAIQgAAEIAABCEAAAhCAQAQEELQRQKYLCEAAAhCAAAQgAAEIQAACEAifAII2fKZYhAAEIAABCEAAAhCAAAQgAIEICCBoI4BMFxCAAAQgAAEIQAACEIAABCAQPgEEbfhMsQgBCEAAAhCAAAQgAAEIQAACERBA0EYAmS4gAAEIQAACEIAABCAAAQhAIHwCCNrwmWIRAhCAAAQgAAEIQAACEIAABCIggKCNADJdQAACEIAABCAAAQhAAAIQgED4BBC04TPFIgQgAAEIQAACEIAABCAAAQhEQOD/A5m//AqIepDxAAAAAElFTkSuQmCC",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"uc.plot_history(show_intervals=True, \n",
" title_prefix=f\"E0 = {E_init}\")"
]
},
{
"cell_type": "code",
"execution_count": 71,
"id": "b44a6da4-b3bb-4297-932b-3df13fe796d0",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(0.0024715441102170356, 4.283809315596441)"
]
},
"execution_count": 71,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Locate the intersection of the curves for [S] and [P]:\n",
"uc.curve_intersect(\"S\", \"P\", t_start=0, t_end=0.02)"
]
},
{
"cell_type": "markdown",
"id": "45539de2-b37b-4749-aa4f-b247c860b3ee",
"metadata": {},
"source": [
"#### The timescale of [S] and [P] continues to become faster with a higher initial [E] -- **AND THEY'RE NOW GETTING CLOSE THE TIMESCALES OF E AND ES**"
]
},
{
"cell_type": "code",
"execution_count": 72,
"id": "5fcdb4fd-0dba-43b7-880f-4c8b3aceca1e",
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.plotly.v1+json": {
"config": {
"plotlyServerURL": "https://plot.ly"
},
"data": [
{
"hovertemplate": "Chemical=S
SYSTEM TIME=%{x}
Concentration=%{y}",
"legendgroup": "S",
"line": {
"color": "cyan",
"dash": "solid"
},
"marker": {
"symbol": "circle"
},
"mode": "lines",
"name": "S",
"showlegend": true,
"type": "scattergl",
"x": [
0,
5e-05,
5.025e-05,
5.0375000000000005e-05,
5.050000000000001e-05,
5.062500000000001e-05,
5.0750000000000014e-05,
5.087500000000002e-05,
5.100000000000002e-05,
5.112500000000002e-05,
5.1250000000000026e-05,
5.137500000000003e-05,
5.150000000000003e-05,
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5.175000000000004e-05,
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5.2644001882512544e-05,
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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# The very early part of the reaction\n",
"uc.plot_history(title_prefix=f\"Detail when E0 = {E_init}\", range_x=[0, 0.002], range_y=[0, 20.])"
]
},
{
"cell_type": "code",
"execution_count": 73,
"id": "2551a571-f014-41fb-9768-faf3b3a404e5",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"plot_pandas() NOTICE: Excessive number of vertical lines (758) - only showing 1 every 6 lines\n"
]
},
{
"data": {
"application/vnd.plotly.v1+json": {
"config": {
"plotlyServerURL": "https://plot.ly"
},
"data": [
{
"hovertemplate": "Chemical=E
SYSTEM TIME=%{x}
Concentration=%{y}",
"legendgroup": "E",
"line": {
"color": "violet",
"dash": "solid"
},
"marker": {
"symbol": "circle"
},
"mode": "lines",
"name": "E",
"showlegend": true,
"type": "scattergl",
"x": [
0,
5e-05,
5.025e-05,
5.0375000000000005e-05,
5.050000000000001e-05,
5.062500000000001e-05,
5.0750000000000014e-05,
5.087500000000002e-05,
5.100000000000002e-05,
5.112500000000002e-05,
5.1250000000000026e-05,
5.137500000000003e-05,
5.150000000000003e-05,
5.1625000000000035e-05,
5.175000000000004e-05,
5.187500000000004e-05,
5.2000000000000044e-05,
5.212625000000005e-05,
5.2253762500000046e-05,
5.2382550125000046e-05,
5.2512625626250046e-05,
5.2644001882512544e-05,
5.277669190133767e-05,
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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# The full reaction of E and ES\n",
"uc.plot_history(chemicals=['E', 'ES'], show_intervals=True, \n",
" title_prefix=f\"E and ES when E0 = {E_init}\")"
]
},
{
"cell_type": "markdown",
"id": "14a5ce9f-8a93-4ad4-a8fa-e26496b0e573",
"metadata": {},
"source": [
"#### At these higher initial concentrations of [E], we're now beginning to see overshoots in [E] and [ES] that overlap less"
]
},
{
"cell_type": "code",
"execution_count": 74,
"id": "05426505-fa5c-4b0f-bdae-9eaf3cace1dd",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" SYSTEM TIME | \n",
" E | \n",
" ES | \n",
" P | \n",
"
\n",
" \n",
" \n",
" \n",
" | 757 | \n",
" 0.020147 | \n",
" 10.998147 | \n",
" 9.001853 | \n",
" 9.163739 | \n",
"
\n",
" \n",
"
\n",
"
"
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"text/plain": [
" SYSTEM TIME E ES P\n",
"757 0.020147 10.998147 9.001853 9.163739"
]
},
"execution_count": 74,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"uc.get_history(columns=['SYSTEM TIME', 'E', 'ES', 'P'], tail=1) # Last point in the simulation"
]
},
{
"cell_type": "code",
"execution_count": 75,
"id": "50529736-69a0-404a-ac61-2b5f9b2ba216",
"metadata": {},
"outputs": [
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"data": {
"text/plain": [
"9.163739207468186"
]
},
"execution_count": 75,
"metadata": {},
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],
"source": [
"P_equil = uc.get_chem_conc(\"P\")\n",
"P_equil"
]
},
{
"cell_type": "markdown",
"id": "60e3e92e-32ba-46f7-8c4c-760ac69054ea",
"metadata": {},
"source": [
"#### P_equil continues to decrease with increasing initial [E]"
]
},
{
"cell_type": "code",
"execution_count": 76,
"id": "31d1a073-906e-45d0-90d2-d63f8e4d7df2",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"6.41461744522773"
]
},
"execution_count": 76,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"P_70_threshold = P_equil * 0.70\n",
"P_70_threshold"
]
},
{
"cell_type": "code",
"execution_count": 77,
"id": "c6d79966-d114-4e66-bb94-bcf852fee8be",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.004076150862005783"
]
},
"execution_count": 77,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"uc.reach_threshold(chem=\"P\", threshold=P_70_threshold)"
]
},
{
"cell_type": "markdown",
"id": "3c014242-7a93-4368-ac71-0e2aa7dc88f5",
"metadata": {
"tags": []
},
"source": [
"#### The time at which we reach the 70% threshold of the equilibrium value of P continues to decrease with increasing initial [E]"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "2ca50397-215f-490e-ac27-c2b76cf51dae",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"id": "845d2620-d0a2-4080-a201-a118fede9e48",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "markdown",
"id": "c45bfaac-3a80-473c-a9b5-cc0c55bf1c5f",
"metadata": {
"tags": []
},
"source": [
"# 7. Keep increasing the initial [E]"
]
},
{
"cell_type": "code",
"execution_count": 78,
"id": "06f75fcd-19b7-45dd-bcd5-ea5136280700",
"metadata": {},
"outputs": [],
"source": [
"E_init = 30.0 # 50% higher than the initial [S]"
]
},
{
"cell_type": "code",
"execution_count": 79,
"id": "86ebdf54-6e5e-4450-acc2-9c45fb978d6d",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"SYSTEM STATE at Time t = 0:\n",
"4 species:\n",
" Species 0 (S). Conc: 20.0\n",
" Species 1 (E). Conc: 30.0\n",
" Species 2 (ES). Conc: 0.0\n",
" Species 3 (P). Conc: 0.0\n",
"Set of chemicals involved in reactions: {'ES', 'E', 'S', 'P'}\n"
]
}
],
"source": [
"uc = UniformCompartment(reactions=rxns, preset=\"slower\") # A brand-new simulation, with the same chemicals and reactions as before\n",
"\n",
"uc.set_conc(conc={\"S\": 20., \"E\": E_init}) \n",
"uc.describe_state()"
]
},
{
"cell_type": "code",
"execution_count": 80,
"id": "45e38a17-5515-4d69-8b27-168331473dd4",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"749 total variable step(s) taken in 0.03 min\n",
"Number of step re-do's because of elective soft aborts: 2\n",
"Norm usage: {'norm_A': 743, 'norm_B': 746, 'norm_C': 742, 'norm_D': 742}\n",
"System Time is now: 0.010054\n"
]
}
],
"source": [
"# Perform the reactions (The duration of the run was manually adjusted for optimal visibility)\n",
"uc.single_compartment_react(duration=0.01, \n",
" initial_step=0.00005)"
]
},
{
"cell_type": "code",
"execution_count": 81,
"id": "8d7277d0-1d8f-479a-9110-eace7ef00222",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"True"
]
},
"execution_count": 81,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Verify that the reactions have reached equilibrium\n",
"uc.is_in_equilibrium(verbose=False)"
]
},
{
"cell_type": "code",
"execution_count": 82,
"id": "dd0211e8-5dfb-4c1c-809c-b7824f04af50",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"plot_pandas() NOTICE: Excessive number of vertical lines (750) - only showing 1 every 6 lines\n"
]
},
{
"data": {
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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"uc.plot_history(show_intervals=True, \n",
" title_prefix=f\"E0 = {E_init}\")"
]
},
{
"cell_type": "code",
"execution_count": 83,
"id": "64c0b5f9-1a4a-4b65-a927-f4c24839c44c",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(0.0015007776137844029, 2.9518860757696133)"
]
},
"execution_count": 83,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Locate the intersection of the curves for [S] and [P]:\n",
"uc.curve_intersect(\"S\", \"P\", t_start=0, t_end=0.01)"
]
},
{
"cell_type": "markdown",
"id": "cd858e13-44eb-4e0e-a77f-82001e764fbc",
"metadata": {},
"source": [
"#### The timescale of [S] and [P] continues to become faster with a higher initial [E] -- **AND THEY'RE NOW COMPARABLE THE TIMESCALES OF E AND ES**"
]
},
{
"cell_type": "code",
"execution_count": 84,
"id": "1bf0ed70-9c0a-4c93-b538-0cafeb01921b",
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.plotly.v1+json": {
"config": {
"plotlyServerURL": "https://plot.ly"
},
"data": [
{
"hovertemplate": "Chemical=S
SYSTEM TIME=%{x}
Concentration=%{y}",
"legendgroup": "S",
"line": {
"color": "cyan",
"dash": "solid"
},
"marker": {
"symbol": "circle"
},
"mode": "lines",
"name": "S",
"showlegend": true,
"type": "scattergl",
"x": [
0,
5e-06,
5.505000000000001e-06,
5.7575e-06,
5.88375e-06,
5.9468750000000006e-06,
6.010000000000001e-06,
6.073125000000001e-06,
6.136250000000002e-06,
6.199375000000002e-06,
6.2631312500000016e-06,
6.3275250625000015e-06,
6.392562813125002e-06,
6.4582509412562515e-06,
6.524595950668814e-06,
6.591604410175502e-06,
6.659282954277257e-06,
6.72763828382003e-06,
6.79667716665823e-06,
6.8664064383248124e-06,
6.9368330027080606e-06,
7.007963832735141e-06,
7.0798059710624925e-06,
7.152366530773117e-06,
7.225652696080848e-06,
7.299671723041657e-06,
7.374430940272074e-06,
7.449937749674795e-06,
7.5261996271715424e-06,
7.603224123443258e-06,
7.681018864677691e-06,
7.759591553324467e-06,
7.838949968857713e-06,
7.91910196854629e-06,
8.000055488231753e-06,
8.08181854311407e-06,
8.164399228545212e-06,
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9+u+L5O9lMhtrjj/P3C0itEX4+poHWf8Q8ToEIAABCEAAAhAoS6D1Qltkv6hAKvIGLi0j4kNoqzzuxHxU0bDJ4Vpo80iDiwxdlQxtHhGrW2jrqL8I1yK/B+b8SYpa1uN4QsrQ6rmZ57nLWRlaqSvr2c15P4xpS4a2yjwo+w8U90EAAhCAAAQgAIEsAq0XWhmgXko4TFTkjfX6S/48t9AOyzSWFVrpq3mvDlCRPbTJoIrYvXG/lQsOndFM0pZFJu+vQ2jTZE2Y3vfAQ/GhUHn3+OWVgmEiLYyOPfrw+FCorOXQmk0R4TT3VOs6svZBJ7P8+h6bABapPy/XvEIrMbvlu3cvegRO3sxpE3to034ninz4NWx8VcdeZP93cu62eR5k/UPE6xCAAAQgAAEIQKAsgU4IrRZFeaRL2qN3dFYm7xt5Xad8T+6V08sNy+6hzTolObk00XbKsfRH6pBHDomg207tLfLGvQ6h1YyTS7XNA3O0FOQ9odc8nMcmBbY6zQN4bLyEqfRPHgukY11EaNOkbZjQ2k6rTi4zT2Y+i9Sfl2ve3wMdNzOr6eqU47LxH/YXXlqM9V74rKyy1J0lrbZTjuW+5Enett/15LJ320nUSR7m3G3zPCj7DxT3QQACEIAABCAAgSwCnRFaLXpf+usbF405+cYx7xt5XYm5X04/D7XMHlpdp7mXU2Th6LccGj+n1Hyznbbv0/ZmODnwvAf41CG0uh/mYVpmn5KPjtH3DHsOrX6cUjLWZlbeVqdZJm3PcbJ/RYQ2+YGK/L/tObTJE6P1WM190iIz+tnI5jxIzsOs+vNwLfJ7YKsvz7JdLXjyrGebRObpZ5ZYpv0FZ/u9ydvnPEKbHJvZh+RYzX7Ihzzy6Cr5e6rM3G3rPMj6h4jXIQABCEAAAhCAQFkCnRLashBCuM/2uJYQ+kUfIAABCEAAAhCAAAQgAAEIhEoAofUcGXNpqzSf91AYz12lOQhAAAIQgAAEIAABCEAAAkETQGg9hydtuWuek3c9d5XmIAABCEAAAhCAAAQgAAEIBE0AoQ06PHQOAhCAAAQgAAEIQAACEIAABNIIILTMDQhAAAIQgAAEIAABCEAAAhBoJQGEtpVho9MQgAAEIAABCEAAAhCAAAQggNAyByAAAQhAAAIQgAAEIAABCECglQQQ2laGjU5DAAIQgAAEIAABCEAAAhCAAELLHIAABCAAAQhAAAIQgAAEIACBVhJAaFsZNjoNAQhAAAIQgAAEIAABCEAAAggtcwACEIAABCAAAQhAAAIQgAAEWkkAoW1l2Og0BCAAAQhAAAIQgAAEIAABCCC0zAEIQAACEIAABCAAAQhAAAIQaCUBhLaVYaPTEIAABCAAAQhAAAIQgAAEIIDQMgcgAAEIQAACEIAABCAAAQhAoJUEENpWho1OQwACEIAABCAAAQhAAAIQgABCyxyAAAQgAAEIQAACEIAABCAAgVYSQGhbGTY6DQEIQAACEIAABCAAAQhAAAIILXMAAhCAAAQgAAEIQAACEIAABFpJAKFtZdjoNAQgAAEIQAACEIAABCAAAQggtMwBCEAAAhCAAAQgAAEIQAACEGglAYS2lWGj0xCAAAQgAAEIQAACEIAABCCA0DIHIAABCEAAAhCAAAQgAAEIQKCVBHovtNfddIdaf+2tg+Add8wR6porzlsQzE9dcKW69/4H45/ZXm9l5Ok0BCAAAQhAAAIQgAAEIACBlhPovdCKrCYFVv68/6p91MVrz4xD+8X1N6gnn35uUMZ8veXxp/sQgAAEIAABCEAAAhCAAARaS6D3QmtGTjK2D/zykYHArl5zobrsM2erow4/JC76i4d+o9Z9+Tq1aePlrQ06HYcABCAAAQhAAAIQgAAEINAFAgitEUUR2He87bA4Q/v0sy+q9516rrrrlqvUqpUr4pK2n3VhIjAGCEAAAhCAAAQgAAEIQAACbSOA0M5HTET20SeeWbBHFqFt23SmvxCAAAQgAAEIQAACEIBAnwggtEa0k3tm8wjt7y/9vZr80BI1ffBon+YNY/VIYN/XL1PPb96hpmdmPbZKU30isGzJmNp16Zh6cetkn4bNWD0TWLH7ErVtx7TaPjntuWWa6wuBsdERtffypeqZ32/vy5AZZ0ME9ttrl4ZaplkbAYTWoCJ7ZNecc5l6+O7r41ey9tCK0M7sP6Z2nDzBDINALQQQ2lqwUmmCAELLdPBBAKH1QbnfbSC0/Y6/z9EjtD5pZ7fVe6EVYU0e8CSnGMulTz7OOuX4pa+8pGa3z6rta5aq2T1GsolTAgIFCSC0BYFRvDABhLYwMm4oQQChLQGNWwoRQGgL4aJwBQIIbQV4Ndzae6FNPmNW+BZ9Du22725TO34VLQc9dFxNnjBeQ4iosu8EENq+z4D6x4/Q1s+YFpRCaJkFdRNAaOsmTP2aAEIb1lzovdBWDcfMSzNq81c3x9WQpa1Kk/ttBBBa5kXdBBDauglTvxBAaJkHdRNAaOsmTP0IbZhzAKF1EJfnb92qxh7ZSZbWAUuqWEwAoWVW1E0Aoa2bMPUjtMwBHwQQWh+UaUMIkKENax4gtA7i8fRvt6llG3fEe2h3/NES9tI6YEoVrxFAaJkNdRNAaOsmTP0ILXPABwGE1gdl2kBow5sDCK2DmDz1wqtq6e1TavTJabXz6HE1FX1xQcAVAYTWFUnqSSOA0DI3fBBgybEPyv1uA6Htd/x9jt53hlbO/Nl/1T7q4rVn+hymk7Zsj0F1UnGiEoTWAVER2rGnZtSS70ySpXXAkyoWEkBomRF1E0Bo6yZM/UIAoWUe1E0Aoa2bMPVrAq6FVp6qcvPtP1oA+KAD9h08iaUJodWPMt24YZ066vBDSgcfoS2Nzu+NIrRykaX1y70vrSG0fYl0c+NEaJtj36eWEdo+RbuZsSK0zXDvY6suhfaw93xcJeVV8xTJ3W/fvdTZp39YNSG0ruKK0LoiWXM9WmjJ0tYMuqfVI7Q9DbzHYSO0HmH3uCmEtsfB9zR0hNYTaJpxdiiUSOvP/uHhQSY2Da0WWnldZ3LTJDiZ6b3rlqvUqpUr4mpXr7lQnbL6eHXbpnvUo088E//sKxd9Wq3ad4Vac85lg6b1PTYRNTPJcv/qE9+ubBnmh+++Pq4ToW3JL4wWWukuWdqWBK1F3URoWxSslnYVoW1p4FrWbYS2ZQFrYXcR2hYGraVddpWhlezs2k9+NM7CDrtEaO+9/8FYQEUgtaC+422HDfbVilQ++fRz6porzotf3/TDn6vzL71aabEUoRWR1cKqXzeXNsu9UocpoqZ8y+tf/+bfxe3La5/4kz8cyLP0N62eOkLOHloHVJNCS5bWAVCqWEAAoWVC1E0Aoa2bMPULAYSWeVA3AYS2bsLUrwm4EFotjHn2qNqWHF930x3qgV8+YpVP3U+R2HPOOiWWYJ2h1fJsy5xKnZLB3bTx8gVCK/W979RzVZ6+apne8I3bFtWjs8WuZxJC64BoUmiluqV3Rice/w9OPHaAlioiAggt06BuAght3YSpH6FlDvgggND6oEwbQiA0odUHONmio7O6aUKblFTJ2tpE9J+ffSFelqyzvbZ2dAY4+ZqUZ8lxS35nTKEd2TIbP5dWru1rlvJc2pbEMdRuIrShRqY7/UJouxPLkEdChjbk6HSjbwhtN+LYhlG4EFoZZ5Elx+Zje5IZWi20WcIpe2jNDK0LoZVxnHbyCYPlz8nlzghtG2Z01EdTaKXbS360U409slNNHzquJk/gubQtCWWQ3URogwxLpzqF0HYqnMEOBqENNjSd6RhC25lQBj8QV0KbdSiUSGvaKce2JcfDlgRXydBKQNKWHNtkGqENfgov7qBNaMnStjCQgXYZoQ00MB3qFkLboWAGPBSENuDgdKRrCG1HAtmCYbgSWp2lNU8s1pKoD4zK2kMr9eiThpNZWpHetx355vg5slWEVva+Sh8ef+rZwYnM+lAoOQzKlF3J2MrFkuMWTGbdRZvQymtL7ouytL/aqWb2H1M7Tp5o0YjoakgEENqQotHNviC03YxraKNCaEOLSPf6g9B2L6ahjsil0CZlNDneZLY1j9Cm1ZM85bjskmN9mJM+bVn3U/dRxHn9tbcOui/7dvUJyyw5DnUWG/1KE1rJ0i797qSS77LsWJYfc0GgKAGEtigxyhclgNAWJUb5MgQQ2jLUuKcIAYS2CC3KViHgWmir9IV7leKUYwezIE1opWrZRyv7aWf3GIkPiOKCQFECCG1RYpQvSgChLUqM8mUIILRlqHFPEQIIbRFalK1CAKGtQs/9vQitA6bDhFaqlxOPJUu78+hxNRV9cUGgCAGEtggtypYhgNCWocY9RQkgtEWJUb4oAYS2KDHKlyWA0JYlV899CK0DrllCywFRDiD3uAqEtsfB9zR0hNYT6J43g9D2fAJ4GD5C6wEyTcQEENqwJgJC6yAeWUIrTQwe47P/qJo8eYmDVqmiLwQQ2r5EurlxIrTNse9Tywhtn6LdzFgR2ma497FVhDasqCO0DuKRR2g5IMoB6J5WgdD2NPAeh43QeoTd46YQ2h4H39PQEVpPoGmGDG1gcwChdRCQPEIrzSQPiNrxR0vig6K4IJBFAKHNIsTrVQkgtFUJcn8eAghtHkqUqUIAoa1Cj3uLECBDW4RW/WURWgeM8wqtNDVYehw9wkce5cMFgSwCCG0WIV6vSgChrUqQ+/MQQGjzUKJMFQIIbRV63FuEAEJbhFb9ZRFaB4yLCC1Ljx0A71kVCG3PAt7AcBHaBqD3sEmEtodB9zxkhNYz8B43h9CGFXyE1kE8igitNMfSYwfQe1QFQtujYDc0VIS2IfA9axah7VnAGxguQtsA9J42idCGFXiE1kE8igqtNMmpxw7A96QKhLYngW5wmAhtg/B71DRC26NgNzRUhLYh8D1stg9Ce9h7Pr4gsscdc4S65orzgow2QusgLGWENrn0eOfR42oq+uKCgI0AQsu8qJsAQls3YeoXAggt86BuAght3YSpXxPoutCuXnOhOmX18ers0z88CPqnLrgSoe3yr0AZoRUeo09Nq6XfmYrR7Dh1qZrZm1OPuzxPyo4NoS1LjvvyEkBo85KiXBUCCG0VetybhwBCm4cSZVwQ6LLQPv3si+p9p56r7rrlKrVq5QoXuGqvgwytA8RlhVaannhgpxqPvuQRPjzKx0EwOlgFQtvBoAY2JIQ2sIB0tDsIbUcDG9CwENqAgtHxrrgW2u81yOskS9uSoT1wv5XBZmTNLiO0DiZQFaGV5pfeskONPj+rZg4eUzs+NOGgR1TRJQIIbZeiGeZYENow49K1XiG0XYtoeONBaMOLSVd75Fpoz4hAbWwA1o1Rm2tS2jX30H7lok+r1Se+vYFeZjeJ0GYzyixRVWjZT5uJuNcFENpeh9/L4BFaL5h73whC2/spUDsAhLZ2xDQwT6AOod3cAN1Thwhtsjubfvhzdf6lV6uNG9apow4/pIGeDm8SoXUQkqpCK11I7qedPGFcTR/KIVEOQtOJKhDaToQx6EEgtEGHpzOdQ2g7E8pgB4LQBhuaznXMtdC2AZAsQz7nrFOCzNIitA5mkAuhlW4M9tMujQ6J+ujSeF8tFwQQWuZA3QQQ2roJU78QQGiZB3UTQGjrJkz9mkCXhfYXD/1Gfe2G7y7YP6sztA/ffX2QkwChdRAWV0IrXVly30419isOiXIQls5UgdB2JpTBDgShDTY0neoYQtupcAY5GIQ2yLB0slNdFloJmDyi5977H1wQu1BlVjqJ0Dr4NXMptNIdfUhUfPKxZGqjjC1XfwkgtP2Nva+RI7S+SPe7HYS23/H3MXqE1gdl2hACXRfatkUZoXUQMddCmzwkipOPHQSo5VUgtC0PYAu6j9C2IEgd6CJC24EgBj4EhDbwAHWoewhtWMFEaB3Ew7XQSpeSUjv9lnE1eSyHRDkIVSurQGhbGbZWdRqhbVW4WttZhLa1oWtNxxHa1oSq9R1FaMMKIfEsb6cAACAASURBVELrIB51CK10S55Nu+T2HWpkh1I7jx5XU9EXV/8IILT9i7nvESO0von3sz2Etp9x9zlqhNYn7X63hdCGFX+E1kE86hLaWGp/O62Wfn8q7iVS6yBYLawCoW1h0FrWZYS2ZQFraXcR2pYGrkXdRmhbFKyWdxWhDSuA3oVWnmH06BPPWCmEfHrWsLDVKbTS7tgjO9WSH+1EasP63fHWG4TWG+reNoTQ9jb0XgeO0HrF3cvGENpehr2RQSO0jWBPbdSr0MoR0Puv2kddvPbMsChU7E3dQovUVgxQy29HaFsewBZ0H6FtQZA60EWEtgNBDHwICG3gAepQ9xDasILpVWgPe8/H1cYN69RRhx8SFoWKvfEhtEhtxSC1+HaEtsXBa0nXEdqWBKrl3URoWx7AFnQfoW1BkDrSRYQ2rEAitA7i4UtokVoHwWphFQhtC4PWsi4jtC0LWEu7i9C2NHAt6jZC26JgtbyrCG1YAfQqtLLk+OQPHKdWn/j2sChU7I1PoTWllkf6VAxeC25HaFsQpJZ3EaFteQBb0n2EtiWBanE3EdoWB69lXUdowwqYV6H9xUO/Ueu+fJ3atPHysChU7I1voZXujj41rZZEpx/LI31mDh5TkydMqNmlFQfC7UESQGiDDEunOoXQdiqcwQ4GoQ02NJ3pGELbmVAGP5CuC60kIe+9/8FFcfjKRZ8OMjHpVWhlD+2wi1OOi/3+xs+pvXNSjWyZVTN7j6jJDy5Rs3uMFKuE0sETQGiDD1HrO4jQtj6ErRgAQtuKMLW6kwhtq8PXqs73QWiPfuuh6uzTP9yKuHgV2lYQKdHJJjK0upsis0u/Oye1IrMitSK3XN0hgNB2J5ahjgShDTUy3eoXQtuteIY4GoQ2xKh0s08IbVhxRWgdxKNJoZXuy7LjiShTO/bkTLzseOrYcTV96LiDkVFFCAQQ2hCi0O0+ILTdjm8oo0NoQ4lEd/uB0HY3tqGNzLXQTv3TVGNDnHjzxKK2ZckxGdohIZF9tGvOuWxBibY/yqdpodUwl9y3U439amf8Rw6LauzvBecNI7TOkVKhQQChZUr4IIDQ+qDc7zYQ2n7H3+foXQvtK995RU0+OOlzCHFbu35kV7X0iMWH8LCHdkgoNv3w5+r8S69Wd91ylVq1ckVc8ulnX1TvO/VcFeom4zwzKxShlb6K0IrYxlK7/6iaem90WBT7avOEMdgyCG2woelMxxDazoQy6IEgtEGHpxOdQ2g7EcZWDKIOoZ3dMet97BP/aiJVaMnQpoRj9ZoL1TlnnbLodCwR3Q3fuK21px+HJLSCPnlYlCxBnvzQhJrZb8z7LwkNuiGA0LrhSC3pBBBaZocPAgitD8r9bgOh7Xf8fY7etdD67HuetlhyPISSnHJsW16slyFzynGeKZavTHJfrdwhS5Cn/udxHu2TD19QpRDaoMLRyc4gtJ0Ma3CDQmiDC0nnOoTQdi6kwQ4IoQ0rNF4PhQoxQ/vF9Teom2//0SAqxx1zhLrmivMWRCm5jtz2emgZ2mTnk0uQ41OQTxgnWxvW72BmbxDaTEQUqEgAoa0IkNtzEUBoc2GiUAUCCG0FeNxaiEAfhJbn0KZMiRD30Ipkb9p4+aDH8udTVh8/eO6SCO+TTz83kFyR2/1X7aMuXnvm4J6QhVY6mVyCLH8mW1vo76zGCyO0jYeg8x1AaDsf4iAGiNAGEYZOdwKh7XR4gxpc14U2KNg5OuM1Qyv9Cf2U4+tuukM98MtHBgIrgnvZZ85WRx1+SIxT+r/uy9ctkODQhVb6HS9B/r9fOwWZbG2O345AiiC0gQSiw91AaDsc3ICGhtAGFIyOdgWh7WhgAxwWQhtWULwLbVjDX9yb5CZofQKz7VTm5M/aILR6pKNPTaslP9qpRrbMnaRGtjb0GakUQht+jNreQ4S27RFsR/8R2nbEqc29RGjbHL129R2hDSteCG0iHpKdXX/trUofTpVHaN8R3f9/bmvuYchlp9PMTyfVzD9E/ZYjwpeOqNF3TqjRty0pWx331Uhgt13G1bbt02p21v9x7jUOi6oDIjA+NqomxkfUqzumA+oVXekagV2WjqmpnbNq5/RM14bGeAIhMDIyonZdNqZeeXXu8YVcEKiLwO67TtRVNfWWIOBFaOV0Y3nOrDyDdtjV5CnHw/b3DsvQjkQDuil6E/iHbfwHevOsmv7BdjX7+Nyb2JGVo2rkvUvU6AHjJaYSt9RFAKGtiyz1agIILXPBBwGE1gflfreB0PY7/j5Hj9D6pJ3dlhehze5GsyXMzGyyN1l7aEVo3zk1o769Jdqk2tJr0TLk/UfVzqPHOA05kHiy5DiQQHS4Gyw57nBwAxoaS44DCkZHu8KS444GNsBhseQ4rKB4Fdq059BKdnTDN25bcNCSL0yyZ1Yu81E9uv2sU45fHxV8Kfr62e+3qwNn2rskVA6NGv91dGhU9CX/L9d0JLZT751QcoAUV3MEENrm2PelZYS2L5FudpwIbbP8+9A6QtuHKIcxRoQ2jDjoXgQhtPrkY99LjvUeWVtINm5YNzjZeNhzaM+Kbr4++jo1Wna8/uXJsKJbojdWsT10XO08dISMbQmeLm5BaF1QpI5hBBBa5ocPAgitD8r9bgOh7Xf8fY4eofVJO7utIIRWlvzetumeRjK02YiGl/hd9PLB80XanqVNjjQtY8tS5Kozpvj9CG1xZtxRjABCW4wXpcsRQGjLceOu/AQQ2vysKFmNAEJbjZ/ru2sXWttzZ22DSGZEXQ+y7vpOi7Kzt0SnN3YlS4vY1j1jitWP0BbjReniBBDa4sy4ozgBhLY4M+4oRgChLcaL0uUJILTl2dVxZ+1Cm+x02h7aOgbms86fR/tn3/H6ZfEe2ls372j1Xto0braMreytnf4XY2rnkeNqdqlP4v1qC6HtV7ybGC1C2wT1/rWJ0PYv5r5HjND6Jt7f9routMntlskoy1NrVp/49vhH4nXJ67hjjkg9k6jumeJVaOseTFP1P/XCq+qP91iqfjoxqs6Lnkl7boeff2YV20hmZ2Sf7cHss61jDiK0dVClziQBhJb54IMAQuuDcr/bQGj7HX+fo++D0B791kPV2ad/2IpVngJzyurjF7wuEpx2yG7dsUFoHRAWoRWZFamVLK3spe3DJY/7GX9gWo09OTMYrpyMPP2m0Vhwydq6mQUIrRuO1JJOAKFldvgggND6oNzvNhDafsff5+j7LLT6UN27brlKrVq5wif21La8Cu2wU4Wlh75POXYVARFauXSWVk47lv20fblGX5hVY/8jEtvEI39k7CK3cojU7F7RF0uSS08HhLY0Om7MSQChzQmKYpUIILSV8HFzDgIIbQ5IFHFCwLnQfu97TvpVqpKTTlp0m2RbszK0B+63srGMrNlhr0Kr09NvO/LNat2XrxucaizQTv7AcYM12aWC0eBNWmj7mKU1sduytiKz0wePqelDR5HbEvMUoS0BjVsKEUBoC+GicEkCCG1JcNyWmwBCmxsVBSsScC60Z5yh1MaNFXtV4vYbb1RqzRqr0N57/4OLfj5sD23ytRI9qXSLV6HVh0K9YeVe6k/PvXwgtHISclJwK42ogZu10ErTcjjU46Mj8TNp+5SlXfRJyQ6lRh/ZqcZ+N7NgSbKW25n9ov22B7MsOc90RWjzUKJMFQIIbRV63JuXAEKblxTlyhJAaMuSG36fnJ8yu2NGjUT/yTUb/Ze85Ofys7GXc7a/5bWtakPvkPeSk3nrjPo01725S3cx+bP5n49ORf8T1Z33GtkRVTa5cMwr/mLPvLfnKydCu3lzvrIuS516aqrQDsvQml3Y9MOfq/MvvVo19dSaRoT2qMMPiU/G0kuM9aN92r7kWIKbzNJ29cTjwr9H0V9cE/8t+ovwqYVyK/XoPbfTB48qtUf0xbWIAELLpKibAEJbN2HqFwIILfOgbgKuhFYETkUSU1rcMoRtdOtwEiORxM1uNwRNS1okaLHk5RCyka0Z4hiNMR4rV2ECr7/o9YXvadMNWUuObWORlbjnnHVKIytuvQptEk7y/6+76Q5126Z7BhnbNgVc+prM0Mqf+3Licak4RX/Jj/02+jIyt/Hf09FjgGZkafJ+0aFS0Rf7bucII7SlZho3FSCA0BaARdHSBBDa0ujCvDH699yWsRudin4qGS3blSZ6QzJxsdxJfZaMmyl2I5HsTYyNqsmdUd8sWbVkl0a2pPQxTNqN9ip+P7bUTHW+1iWdoZ3dPV9iYmb3fMMZidqcXZKv7IyUS5zXMiKTQd5bzlqyyTKWAme7zEblZyYW1rPfwbvl61hLSw0TWklEfu2G7y7YP6sztE0lJ70KrRnT5POLQjopq+jcM4WWLG0+gvKp4Ohvd6rRp6JlKr+dXvQp4ezekdjKqck9F1yENt98olR5AghteXbcmZ8AQruYlUiVmQVMFcI4a7g445aa7dtqCFv0x2FLLdOyeX0UvyyByxK3TGHbPV0OZZaInI0si2TOJmNi9ksjccwhZNOvG/77ORLVQ/Ig/99hyZLO99CW60Ztd2U9h9b2elMyKxAaFdraouC5YlNopfm1r1uiblk6Fu+jlf20XNkE5ECpkeciuY2yt6PPy6erC+8ZZHD3ipYqR5LblyXKCG323KFENQIIbTV+3J2PgHehTWQDJYM0Eu2bs2YOLVlDqySaghgN21bOmhns4NJO+TfZei2JRCwlm5cmesMycTrzZs24GVuVRqOs3PLXTajfb52M+2Bm1Rb0l21O+X5xKWUl0HWhbVvYvQqtPhRK9tB26bIJrRwMJQdEySXPpZXn03LlJyAyO/KCPOM22t8R7b21Cm706eRMlMVV0ZcI7nQkul2UXIQ2/7yhZDkCCG05btyVIDAvhXoJqk0ed5ucWwo6FX3Fl22ZqUij/HM570q2vYI2YWxrFtGaCUwTQvk3z7b8MiXbZ8pjvCx0yFLL1Gxei8TP1R5afrchkEUAoc0i5Pd1hNYBb5vQSrVkaR3ATVShM7jxc28jybW9gZE3BwPJjQR3dp/oGbivk3/E3fbFZ20IrU/a/WwLoW1x3I3s4qJTRs1lqmkSqRHIslTjpNJFAtmSbOOiDGKKKFqzhhZJtJazyJ4tM8jSTj+/YwitH860ohRCG9Ys8Cq0bX/ebFro0oRWsrTv33Op2hItgfn2lh3qnVM5jykPa46E2xs5YOoFNSe30af6I08u3oc7eI8WLY2SPbmz0ZsUyeS2SXQR2nCnYFd6htCWj6R+nIWuIUsoFy1RNZaxmq+b+xpDzUTmkceJFaNq5/Ssmp5fsWRbZirSKEtLB3sHLXsFrUtJW5RFLD/buDOLAEKbRYjXXRFAaF2RdFOPV6F9+tkXFzx/1s0Qmq8lTWilZ1ftMq6u3HUiXnIsS4+5aiYwL7kq+j4skzsQXcncRqfyTe8drW+LZFfeTInsxvtuAnmDhNDWPGeoXnVCaOdPXJUDdhYdqmNkKYdJpXWJa/LRF4FlJ02RXHRYjbFMNU0i9a9BLJNGdtIUyLLZRu97aPnd7h0BhLZ3IW9swAhtY+itDXsV2uSpxrbeNHk6VpWwDBNaqVf20kq2Vg6HkkOiuBogIKIre3Hl2W9RRmTs+UhYozepw56/pvc2xacty76leeGV0wUly1v2TV3R0SO0RYlRvigBp0KbWAJbWCzlMRopeyfNZa+hZCrNPZBZQil/jySvRctYjQ/SFmUjA/mgregck/IIbRlq3FOEAEJbhBZlqxBAaKvQc3+vV6F13/0waswSWjntWPbTSpb21s07OCAqjLDN9UJndKNHIcjyZXnWXR7Z1UMYSG+U5R28MdXiK4WiN5+DgzZKvhFFaEOaMC3pi3G66+jLxqF0xr7LJdtG1cT4iHpVf+CWWAa76DmPxrMdgxHL5Imr5l5J8zCdIVI5sizad79kIa/kYTm+PshqyUwr1E2EthAuCpcggNCWgMYtpQggtKWw1XaTV6FNO+VYHsa74Ru3qU0bL69toHVWnCW00jYHRNUZgXrq1nvjRHTl2X86uyvf431tJZYeDrI582+4kxIsoxj8eX7fmGRnVuy9JH4EwXR0uBVX4ASyDuiZ/xBlwSgyDunJXAIbVRaKVMq4FiyBLSiWcm/a3skuZSoDn8W1dQ+hrQ0tFc8TQGiZCr4IILS+SOdrJwih/cVDv1FrzrlMdXXJsYQi+RgfDojKNznbUGogvXIqqMiMlpMow6VFpKz8po1/2BLHRcsXzUyULJ1OO/E5I4Oc+Uw/BwFbdKDOsDrN01vNsjZR1GUSS1sHt1lOd9WvmQfzlPkwwwGe3FVk7as058n4nmMLMrQLXjcO5UEsc4eBggYBhJYpUTcBhLZuwtSvCSC0Yc2FIIT2upvuULdtuqfTGVoJOwdEhTX5m+iNFuDB3sL5jN7gkJr5pZ4DGZYl0DtVfCpoSFm4Jti1oc08J70uejZklIWfNZ4t6XtfpdM9tG0IFH1shABC2wj2XjWK0PYq3I0OFqFtFP+ixmsXWp19zRr2xg3r1FGHH5JVLMjX8yw51h3XB0Sdt21KnftqZCpcEMggYO6hHfqYEGPJ66JHgEzO7RO2XYtOfjUKLXoWZQ2RW3SgzrA2zH2RZn8toqiLLFjaOv9D2+muunxyD+WgmZJ7omvAVrlKhLYyQirIQQChzQGJIpUIILSV8HFzAQJdF9ovrr9B3Xz7jxYQCdnVahfaJIm0PbQF5k+QRYsIbXLpsTzGRw6K4oLAMAIcCsX8qJsAQls3YeoXAggt86BuAght3YSpXxPog9DKWC9ee2Y8ZJ2gDFVqvQptV38NigitMGDpcVdnQj3jQmjr4UqtrxFAaJkNPgggtD4o97sNhLbf8fc5+r4JrbD91AVXqqPfeqg6+/QP+0Sdqy2ENhem4YWKCq3UxtJjB+B7UgVC25NANzhMhLZB+D1qGqHtUbAbGipC2xD4HjbrWmi/99++1xjFk/7FSYvaliXHcukMLUJrIFq95kL16BPPWIPW5VOOzQFz6nFjv7etaxihbV3IWtdhhLZ1IWtlhxHaVoatVZ1GaFsVrlZ31rXQnvF/nKE2/nqjdyY3/tsb1Zoj12QKrTxi9fxLr1Z33XKVWrVyhfd+ZjXoNUMrqer9V+2zwPazOtiG18tkaGVcyaXHt27ewX7aNgS7gT4itA1A71mTCG3PAt7QcBHahsD3qFmEtkfBbniodQjt5u2bvY/q1MNOTRVa81CoUGVWoHkVWg6FWjxP9dLjU3dMq/UvR0fQckHAIIDQMiXqJoDQ1k2Y+oUAQss8qJsAQls3YerXBFwLbWhkbUuOQ+tjsj8IrYPolM3QStOy9Pj9ey5VW0ZG1BdemVKf2M6jfByEpFNVILSdCmeQg0FogwxL5zqF0HYupMENCKENLiSd7RBCG1ZovQqtLDk++QPHqdUnvj0sChV7U0Vopelblo6pta9bEveCR/lUDEYHb0doOxjUwIaE0AYWkI52B6HtaGADGhZCG1AwOt4VhDasAHsVWnmG0bovX6c2bbw8LAoVe1NVaKX5L+w2ob6+bDzeR/v3L+1Qe8zyfNqKYenM7TahHXvs0Xh8o1s2q9HNLw3GOrJ54Z/HHn9sAQcpL2XMS+qw/dwsN/74XLt1XTsPPCh31dNvHF52dvlyNbPHcmt90we+0frzmeV7KrkvecnPbPVktZ97IAEURGgDCEIPuoDQ9iDIDQ8RoW04AD1qvutC27ZQehVa2UM77OrTKcc2Dno/7Qcnp9XfbmU/bdt+mfL0dzSSyZFIHrUYajHV4jn4roU1Kjvx8hY1HX3QocvmaYcy/gnMRCI8G8nvAhmOhFqEOHnFIiwfWEXbDOQyxVvk2ZRqU55N8a8q1wit//nSxxYR2j5G3e+YEVq/vPvcGkIbVvS9Cm1YQ3fXGxcZWumN7Kf96PKl8ffztk2pc19lP627KNVTU1JQJcMp0ilZUBFTnfWU72NRZlPKurq0wIj8JIUplqOEQJmZSJssSZ9smUlbX4tkUMuMtUgGOEvw42x1FAvbZWaudRlbplp+Zqsnq/0y43d1jym45jwxXx9505vUxPiIejU6nC5LqF3LtKsxU0/4BBDa8GPU9h4itG2PYHv6j9CGFSuE1kE8XAmtdOXOJWPqT3ef208rWVrJ1nI1Q0AEdE5Eo4zqg78eiGosrSUlVWfxtBRosdDiOfg+v5xWRHPFgSvV76O5MHmAfZlsM3Ro1SSgP9xI/txcEi6vxSIs2dn5bQWmeNuWhZvybIp/SHI9LJu84LVo/LN7LlzObX4AkyyPSLf/dw6hbX8MQx8BQht6hLrTP4Q2rFh6F1o5GOre+x+MKWzcsE4ddfghSpYin3byCa19Pq1LoRUu+vm0so9W9tPKvlquegiICIgcyHfJ2k089Ot4L+nEQ7/KnVGVN93yZluyo/L/kuGSN+Y66ynfp6PXRWbLXBwKVYZav+8pKsBLn3pikKE1hdrMWocq08NE2ly5YC7zHibS5h5qWVZe9ne537OSx/b0Pf4+xo/Q+qBMG0IAoQ1rHngVWpHZ/VftE4vr6jUXqss+c3YstJt++HO14Ru3tfawKNdCK1MkeUjUrZuR2qq/NiKq8iZfvuv/z7MMeOrwI2MxlTfL8qY3/hJprSipRcaD0BahRdkyBFzuoR0m0wtei7LUZllzKXjy9VBF2tw7bV3endgzvUiejQPK6t4vXWZ+uLqHDK0rktSTRgChZW74IoDQ+iKdrx2vQiuZ2LtuuUqtWrligdDK6cdrzrlM9f1QKDNk74/20z48PsrJx/nmclxKZ1yX3PdfB+IqApt2yZvRqcPfEmdXRV7la+7/3xJMFgahLTABKFqKgEuhLdUBBzcNFWk57Ttxcry5zHuYSJt7qOVQN5f74asOPfd+6Xmptp3+vWivvXHat23vfJmDyBDaqtHm/iwCCG0WIV53RQChdUXSTT1ehVaysn971YWLhJYMrT2YyUOi3jk1o769ZYebqHeklmTGdU5g05cJi6jKG7BQpXVYSBDajkzYgIfRBaFtCq+5d9rcN23umV4kz8ajtYouF29q3Ga7WWIt5cf/p4PVzunZ+NR2ufLItZRbVLflUVosBQ9lJjTbD4S2Wf59ah2hDSvaXoX2upvuULdtuideWqyXHL9h5V7qfaeeq9Z+8qPq7NM/HBadnL2pY8mxbjoptadGJ5Cuf7m/j/NZet898eFMS3/yWvbVDJHOuO484ki1413/eiCxOUMZZDGENsiwdKpTCG17w2kKsFWoZXjzB5G5OIRMqgvpILK06NmyyGa22dxfPWfakXRbnnNte351X59dHepvDEIbamS61y+ENqyYehVaGbpeXpzE8JWLPq1Wn/j2sMgU6E2dQivdEKl9/55L1ZboDUmfHucjAiuZV/mS/0+T18lj//Ug81pmGVyBUDdSFKFtBHuvGkVoexXuWgabJdbS6B7PPqkmd86oqegrdmzLo7Vsj9RaVLflUVqhLQXPCznt3yzrMm/Zbz3//OpB/SnynfaINrnP1qZ5+Fmy/236dxWhzTvzKFeVAEJblaDb+70Lrdvuh1Fb3UIro5S9tLKnVq6uSq3sdV1y7z1q2ff/ziqw8XLhI96iJt91XPxd/tyHC6HtQ5SbHSNC2yz/vrTuew+tLYtsHi4WS3UkyAsuy4Fl8rpNtm3Prk57nnYbstpF5mKa6JoHow2V4/m97eYjvJL3DJNzM0M+GsVu+esm4kfdDZP0NLEvMn7K9psAQhtW/L0K7RfX36Buvv1Hiw5/4rE9+SbFLUvH1NrXzT2jtgtSK3vPlm36rlryk3tjgTX/sRdhnTzu+Hjp8OSxxwdzSFO+aLkrhdC6Y0lNdgIILTPDBwHfQutjTFXbSJNcmxTHQp043CxuO0W+bc+z1n21tWkefpYcV9dEPE/MsrLStgy6rnfB3nBLRl1iZlu+vkD8jdPPbX3O6mOW0Os6s+rJw6uPZRDasKLuVWhl3+w5Z52yaHkxh0LlnxRtl1r5h1HkdZf/8s1FWVj5S3VHJK7bP/SHvRZYczYgtPl/PyhZjgBCW44bdxUjgNAW4xV66TTRNfdx63GMbNmiRl/6/cJhzQvfyEvR6eFbNluHPEzOzQy5VDcxNhovbR8m6dJQH0W97JzKK73DRH+BsJt71BOPNhuUi35m3eOeMoisDwmSt9n2vg9jYxvXvkcdWhYn99VAwKvQSiZ244Z18bNnkxeP7SkW2bZJrfyjsWzT99Su/2Vj/Cid5DUQ2CgT25clxMWirRRCW5QY5YsSQGiLEqN8GQIIbRlq3FOEgKs9tObp5WYf0paVS7kFe8MtGXXJstuWryfbyHo9j5BnCb1uD7EvMsMSZc3YlqyG29wQ8Cq0ZGjdBE1qCV1q0zKxcgrx9tV/FO+Dle/yZ67hBBBaZkjdBBDauglTvxBAaJkHdRNwJbR197Nt9eeV3mGiv0DYo0THgmv+FHbzZ9Y97inw8nwIoG+17X0fFpMF45rv69ijv2tbGDvdX69CK0uLz7/0anXXLVfFz6KV6+lnX4wf29Pmk459HAplm4VJqf3E9p3qC69MNT5Zd/3WjfGhTpKR1ZeWWFlKvH31SY33sW0dQGjbFrH29RehbV/M2thjhLaNUWtXnxHadsWrzb1lD21Y0fMqtDJ022N7bMuQw8I0vDdNCa306qcTo+p/231J/EgfeU7tJZHU7uF5GYR8crf7V/5q0cFOIq8isds+dkabwhlcXxHa4ELSuQ4htJ0LaZADQmiDDEunOoXQdiqcQQ8GoQ0rPN6FNqzhu+lNk0IrI5BH+vzxHnNSe1h0EMK3t0x6kVrJxpqHO8nBAVvP/2x8uFPeQwTcRKG7tSC03Y1tKCNDaEOJRLf7gdB2O74hjA6hDSEK/egDQhtWnBFaB/FoWmhlCI+PjqiPRs+ple8HzsyqWzfviL+7vvTeWMnIJvdUSBb2lU/9OQc7uQYe1YfQ1gCVnwLPqAAAIABJREFUKhcQQGiZED4IILQ+KPe7DYS23/H3OXqE1ift7La8C60cDPXoE89Ye/bw3ddn9zjAEiEIrZbaP42WH0vGVpYd/+foweLvnJpxQsy2rJhsrBO0mZUgtJmIKFCRAEJbESC35yKA0ObCRKEKBBDaCvC4tRABhLYQrtoLexXaT11wpdp/1T7q4rVn1j4wnw2EIrQyZll2/PndJuJTkOWSg6LkwKiylxZZWV6sL1lO/Or/+ifsjS0LteB9CG1BYBQvTAChLYyMG0oQQGhLQOOWQgQQ2kK4KFyBAEJbAV4Nt3oV2rTn0NYwrsJVygnMG75xm9q08fJF94qI33v/g/HPjzvmCHXNFectKBOS0OqOXbXLuLpy14n4jyK0527bWWhfrU1kWVZceFo5uQGhdYKRSoYQQGiZHj4IILQ+KPe7DYS23/H3OXqE1ift7LZ6L7TJU5cPOmDfRUL7xfU3qCeffm4gsbYsc4hCK6GXLK1ka/VhUX8bLUHO2lcrIvu6a/9G7fa1DYPZIyIrBz1xyFP2L1QdJRDaOqhSZ5IAQst88EEAofVBud9tILT9jr/P0SO0Pmlnt+VVaEUGT/7AcWr1iW/P7pnnEmkZWtnze9lnzlZHHX5I3CMR4HVfvm6B+IYqtNJf2U8r+2rlsCjZV7v+5Sn1wclpK12RWJFZfdgTIut5EqY0h9CGEYcu9wKh7XJ0wxkbQhtOLLraE4S2q5ENb1wIbVgx8Sq0NhkMBYdNaJ9+9kX1vlPPVXfdcpVatXJF3FXbz0IWWumzZGjXvm5C3blkbl+tuQRZ9scmTy2W58du/tIVZGQDmZwIbSCB6HA3ENoOBzegoSG0AQWjo11BaDsa2ACHhdCGFRSvQit7aIddTZ5yXEVot26bCiuqKb3536Ns7WfmpfbI6JE+3/rN/6cO+dKlamLjDfEdMwcdpCY/e5GaWtOtQ7taEZwhndwt2g+9bfu0mo0y7FwQqIPA+NiomhgfUa/usK/eqKNN6uwfgV2ibTBTO2fVzmk3p+/3jyAjziIwEn2Av+uyMfXKq+UPw8xqg9chIAR2nz+nBhphEPAqtGEM2d6LPgitjPzX0dLj06M3FWddcon6QvSFyIY8K+f6htCGH6O29xChbXsE29F/hLYdcWpzLxHaNkevXX1HaMOKF0I7H4+u7qE1p5vsj937Ix8c7JO9/uMfV99ed5G6aK/9Mg+MCmvq9qc3LDnuT6ybGilLjpsi3692WXLcr3g3MVqWHDdBvZ9tsuQ4rLh7F9rkqcIaxcYN6waHLjWFJ01o23zKscly9ysuU/Ill5xY/ODfXKv+aPW/GRwYJY/2qfLM2qZi1/V2EdquR7j58SG0zcegDz1AaPsQ5WbHiNA2y79PrSO0YUXbq9CKNJ5/6dXWQ5a+ctGnGzn92CbYaz/5UXX26R8eRKqNz6FNTjMzK7v1gnVKvuSSA6Ou2nVcfX3ZePznd07NqPNenYq/c4VBAKENIw5d7gVC2+XohjM2hDacWHS1JwhtVyMb3rgQ2rBi4lVo5RE455x1yiJxTcuOhoUqvTchn3JsZmWf/86d1tOLfzoxGp2EPPd4H7nMk5DbEosu9hOh7WJUwxoTQhtWPLraG4S2q5ENZ1wIbTix6HpPENqwIuxVaOWUY9vyYp0lbfKU4yphCVFoJSu7/HMXqGWbvhcP7ZU/Oyd+FM+wy8zWynNrL3llSp3KyadVpkflexHaygipIIMAQssU8UEAofVBud9tILT9jr/P0SO0Pmlnt+VVaMnQZgfERYmJh36tVpx5Wnzwk+yV3Xr+Z9W2j52Ru+qHo8f7fD46jlyytnKxDDk3uloKIrS1YKXSBAGElunggwBC64Nyv9tAaPsdf5+jR2h90s5uy6vQhriHNhtRdomQMrTJJcZThx+pXrzhZusS4+xRKXVL9HifqyKx1cuQRWzXvzzJach54Dksg9A6hElVVgIILRPDBwGE1gflfreB0PY7/j5Hj9D6pJ3dllehle6EespxNqr0EqEIrSwx3u1rG+KOJg9+qjI2WYZ8XfSQ8q/vMh4fICUX+2urEC1+L0JbnBl3FCOA0BbjRelyBBDacty4Kz8BhDY/K0pWI4DQVuPn+m7vQut6ACHU17TQytJiWWIsS41nli+Plhivi/fMurxEZj+/20SctZVL9td+4tWd6uzt0/H/c9VHAKGtjy01zxFAaJkJPgggtD4o97sNhLbf8fc5eoTWJ+3sthDabEaZJZoU2uQjeWS/bNopxpmDyFlAlh/Lach6fy1imxNchWIIbQV43JqLAEKbCxOFKhJAaCsC5PZMAghtJiIKOCKA0DoC6agaL0Kr987anjU77DVHY6y9mqaE1jz8qW6ZTYIUob1yl9cOjkJs65tmCG19bKl5jgBCy0zwQQCh9UG5320gtP2Ov8/RI7Q+aWe35UVoP3XBlWr/Vfuoi9eeae3RF9ffoJ58+jl1zRXnZfc4wBJNCK08jmfPf/dJNbp5s9q++iT10levjZcb+75sYvvByZloKfJOddjOGd/d6WR7CG0nwxrUoBDaoMLR2c4gtJ0NbTADQ2iDCUXnO4LQhhViL0Kb9vxZjYLn0BabFLt+68ZIZj8V35Tn+bLFai9X2hRbqYXH/ZRjad6F0LrhSC3pBBBaZocPAgitD8r9bgOh7Xf8fY4eofVJO7sthDabUWYJnxnapMy6Osk4c4AFCsge27+NTkS+OTo8Sp+KLGL7gclpddoODpAqgHJQFKEtQ417ihBAaIvQomxZAghtWXLcl5cAQpuXFOWqEkBoqxJ0e78XoV295kJ12WfOVkcdfoi195KhXffl69SmjZe7HZ2n2nwJbegym8Rte9yP7LMVqf1o9MVy5PyTE6HNz4qS5QggtOW4cVcxAghtMV6ULk4AoS3OjDvKEUBoy3Gr6y4vQnvdTXeoB375SOoe2aw9tnUN3lW9PoS2TTJrcr1zyVj0LNvxwcnI8jpZ2/yzD6HNz4qS5QggtOW4cVcxAghtMV6ULk4AoS3OjDvKEUBoy3Gr6y4vQiudlyytXGYWVn7+6BPPqIfvvr6uMdZeb91C22aZTcKXfbY/iOQ2uRxZZ21lSbJILtdiAggts6JuAght3YSpXwggtMyDugkgtHUTpn5NAKENay54E1oZtmRq11976wICp518Qurpx2GhSu9NnUK79L571F4nfzBuPMQ9s2ViJMuRRWpFbvXzbKWeA2dm1anR6ciyJFn+n2uOAELLTKibAEJbN2HqR2iZAz4IILQ+KNOGEEBow5oHXoU2rKG7601dQivPmd3r5A/Ej+bpisya1B8ej7K2Ueb269FBUvoQKSnDkuTXSCG07n5XqclOAKFlZvggQIbWB+V+t4HQ9jv+PkeP0Pqknd0WQpvNKLNEHUI79tijau+PfFDJ91AezZMJomIB25Jk5JYMbcVpxe05CCC0OSBRpDIBhLYyQirIIIDQdnOKPL7l0aEDe2Lr8Nfl5qw6Nu+IkkeTm4e2syV6/aXtL8Vlbjntxm7CbumoEFoHgXMttEmZ3b76JPXiDTc76GV7qpBM7cPjI+rKXSbi72bm9l1T0+oD0X7bvpyUTIa2PXO3rT1FaNsauXb1G6FtV7za2Nu+CW2apIl4bdkxJ17mJeKW9toTWx9LDXtS5kai92nJS+qTetMueV3uT7uyZDPEuTj7ebbGhRQXhNZBNFwL7T7veYeS5cZThx+pXrj9B2pm+XIHvWxnFSKzdy4ZjfbajsXfk3Ir+2w/GB0mJQdKHbZzVskBU128ENouRjWsMSG0YcWjq71BaLsa2XDGVVRobSKVlu1Lk640CXwsyioWEb+0djeLDA6RxXDo19eTA/c4aFC5MJ013u8dsPtrr6f1IlmHrczypcvVHkuGv9/ePXp9z2V7xrf/xbGfqG/A1FyYAEJbGNniG1wK7fLPXaB2+9oGNf3Gg9Tz37kz/s41R0Bnbs2TkuU1kVmRWpFbkdwuHSqF0PIbUDcBhLZuwtQvBBDafs0DUwBtWUNbttC29NOWHbRlBSVx+NTLj6lp42DJrkphmqSJmO2xdE68zCsWt5TXDtz9jamTNClzplAuX/b6SAb3SL1X2hsmi1myGeJvDntow4oKQusgHq6EVkRWhFYyspKZlQwtVzoB2XP70+hQqZ9E2dvkaclyh87eviNamvyu6KvN2VuElt+CugkgtHUTpn6Etv45YAqkLeO3uMzCJaYijiKUIiySCbNJo235aBuXjMbvFaLMn5nxS8v2pYlgmgRK3UXEL036losMRhLKFRYBhDaseCC0DuLhQmiTj+d56avXqG0fO8NBz/pTxbClyUJB9tu+K/pq4/JkhLY/87ipkSK0TZHvV7tdz9BmCWXydTMLqUVSZoRIkBxOY+5JNAU1dIk0s25pWUOznG3ppy07KAIoZZPXaCThR+5/iHp+844FP0cK+/V3jY/RIrQ+KOdvA6HNzyq1ZFWhTR4C1dXH8zjAXKiKZPbWPFgqKbhtyOAitIVCT+ESBBDaEtC4pTABn0Irew5lmalc5lJXc5lrcg+kXtqq9z4Ok9TQlrGaYmjLNJplzOyiiKNIos5a2qTRlkkMZclo0T20hScxN0BgngBCG9ZUQGgdxKOq0O518geVZGh3HHt8tNT4Tgc9oookAb33Vi9PtgmuLFGWZ9/+q/lMbkgnKCO0zOe6CSC0dROmfiEgQvv0lhfUs1tfjIEMyzgmJfPx6ORVvQR2mGA2nbGUZaGSCdSXKZRJ6TOzkFok5V6RyeSf89THDJsjgNAyE3wRQGh9kc7XDkKbj9PQUlWENnkI1HP/1896faKxg1DkqiKP4OpDpg6fnpNckd2mDppCaHOFlUIVCCC0FeB17NakFCaFc+HPX9t3KbKprzz3+sKVlEtzqau5FzKZpdRLW/Xex2FZT5ax+opm/nYQ2vysKFmNAEJbjZ/ruxFaB0TLCm1y36xkZiVDy9UMgYflcKno6/+JvmS58uOjC5+xJr0SyZUDpkRsZamyZHF9SC5C28yc6FOrCG37oq3lMbmcNrmU1pbhTO7LTB7s4zOzmZRAUzST8piUzAOik1f1EthhghnKstf2zabu9Bih7U4sQx8JQhtWhBBaB/EoI7Sjmzerfd77DiX7Zzd/6Qr1yp+d46AnVOGKgGRxfxKJ7c/m5Vb+P/kMXN2Omck9bHpWHRh9uTxVGaF1FVXqSSOA0NY7N2zyqX+WPBxIL61tUjyTUphcMjtMNjW9ZJnkPkv9c597aOuNKLWHSgChDTUy3esXQhtWTBFaB/EoI7QrzjxNLdv0PfbNOuDvqwrJ2kr2VrK48v9pkiv9Se7Jlf+vks1FaH1FuL/tILQLY68PFLJlP00BlTttS23rPjBIS2Iyy5lcSmvLcCb3ZdqEs+7fAIS2bsLUj9AyB3wRQGh9kc7XDkKbj9PQUkWFNvm8Wdk3O/3Ggxz0giqaICBiK8uV5fuw5crSN8naLp9Vc/txo725B4jo5sjoIrRNRLZfbXZFaLVY6r2fegluXgmta+ntMPlMHg6k9282LZ51zX6Eti6y1KsJILTMBV8EEFpfpPO1g9Dm4+RMaGWJsSw1liXHLDV2AD/AKmRp8uNjkehGXzqbq6U3rbvJLO7+IrmJrC5CG2CQO9alpoXWlhF9TU7nDh3Shw8Nlu9Gj2SZe3Zn9D16RIvLSx8oZMt+JgVU9nbGH1Ylnoepl+lyYNDiiCC0LmcpddkIILTMC18EEFpfpPO1g9Dm4+RMaHlEjwPgLa2ijOjKUN8Uff3LqWm1+4yKT1xeHmV682R2W4qJbjdAoKrQimQml+fmlVHXGVGdCX1NKpcPZFPkVC4toba9ohwqVO/kQ2jr5UvtPLaHOeCPAELrj3WelhDaPJQyyuRdcix7ZmXv7Mzy5Yqlxg7Ad6iK5NLlJ6PMbvLPw4Ypy5jlECrJ6MqXzu7Gf3Z8OFWHcDMUg8Cz259QkzNb1eO/fy5+RUTTXKYrp+LKz+SSJb0uM6O2jKiWS70X1BRRvQeUTGh7pjNC255YtbWnZGjbGrn29RuhDStmCK2DeOQRWllivPIPDmWpsQPefavi1dcvU/912071aPQkIS27IryyrNl28nKSj963K4dS7RHt39V7d+P/R3o7M5XMJbt676h+dIu5XFfvMXWVIRX5TC7PRUY7M7WcDgShdYqTyiwEEFqmhS8CCK0v0vnaQWjzcRpaKo/QLv/cBUoOg5JnzcozZ7kgkJfAsD20yWXMm6O9u0WFV/qgpfeA+UyvLGmWTK98F+mVn8thVi4fRZR37H0rZ1u6qzOlc/tFNw9O1HWZJX1jJKR77rKn2m18blmuCKm5V9TcJ0pmtG+zs/p4EdrqDKlhOAGElhniiwBC64t0vnYQ2nycKgnt0vvuUbJ3Vq5n/vH/5VRjB8z7VEWVQ6FEeDdHmV05lGpL9P2JOLM79//yM3ktK8ubZC2Cu8f88mad8d09kt2k/MZCFJXp85UUU1u2VC/fle8iqlUzpeaSXf34Fr1cV5+aa+4x1X+uuoe2z7Fm7PkJILT5WVGyHAGEthw37ipOAKEtzqzOOxBaB3SzMrT6IKitF6xT8sUFgSIEqghtnna09D4xv3dXZ3rluyxtlp8XFd+k1OrMb/yz6HFFWoD1smcR5FAzwLKU9/Fov6iIp1winsllvK7F1LZ0V2dKbVLqKkuK0Ob5TaFMVQIIbVWC3J9FAKHNIsTrrgggtK5IuqkHoXXAcZjQ6mfOyrNm5SAoORCKCwJFCNQttEX6IoK7RbK88n0+4yt/riq/ug86szu3zHk2lt89o+8ivfLcXrlEhOU1KZMU56xxpGVN61jKmxRTM1sqhxvp5bv6YKOmT9dFaLNmD6+7IIDQuqBIHcMIILTMD18EEFpfpPO1g9Dm4zS0VJrQJg+CevGGm9X21Sc5aI0q+kYgJKEtwl6kVy6d+Y3/f16ItQCLFM8JcbGlz2p7lDF96Xcq/j7/deCLc38+YNvv516T9iqexquX8urHwCT3loYopkXikyyL0JYlx31FCCC0RWhRtgwBhLYMNe4pQwChLUOtvnsQWgds04R29ysuU/LFQVAOIPe4irYKbZGQzS3lfXRuifPWx9TDU1vU49He0odffjSS1OhRMSKtmxMCW6RyXXbPNym1bE+llkZf8l2+9jwo8f/R63JF5Q6Mnll6wMTyOBMsGWG54v+fzxKb2WJ5XWeM5f/btocYoS0zobinKAGEtigxyhclgNAWJUb5sgQQ2rLk6rkPoXXA1Sa0Y489qvZ57zvix/TIqcYitVwQKEOgbUKrHyEzlx3dHO8/FUm1Le0texiSZE4P3D16VEwkp8klvXqf6R7L3xQviRY5fWLXFZG0Lo8Pw5JLfi4ZYp0dlp/pbHKZ+Ay7R58gLWVEhrUcixDP5a/tohyXn19arf9fy7T82bUwI7SuI099NgIILfOibgIIbd2EqV8TQGjDmgsIrYN42IR2xZmnqWWbvqe2fewM9dJXr3HQClX0lUDTQptHUKue1itLeW3LeuXnA0mN5HVOYuvbh67FVpZBJ8VX5p5I8NZ5CzXlWF6XpdX6qkuQbb8DSWmW181MsSSYdc/kUK7kpTPNE9GJ10uirxXbpgYvi1AnJboOke7r73Rfx43Q9jXy/saN0Ppj3feWENqwZgBC6yAeptDqx/TIAVByEJQcCMUFgbIE6hBavcRX+mSe3KuzpvES4GgpcNHLtu9UHh9jO6W36cOQio6taHl9grTcpyU5lt9ImPWDjWyiHJefzyTr/5f79eVTmIeN2ZYpTgp1mgSbYi3ltFwn28tTv5QP9ZTsovOl6+UR2q5HuPnxIbTNx6AvPUBow4o0QusgHqbQ8pgeB1CpYkAgj9AmHy8jy3xFRLfK801lqW+05Fd+VuWAJDOD2ldBDXFaJqU5lmUjUywarOVZRDp56UyzvAkcj+777/MnR9skWn4WikjnjUPa0uzk8m9ToJMZbf1acv+02bZNxHWZYUvDTfFP1ttVQUdo885cypUlgNCWJcd9RQkgtEWJ1VseoXXANym0yezss//4CI/pccC3r1Xox8yMLdmmHnrqv6vH5rOlIqnxa5Goyr7UMlnU5GNlzJN7ddZUlgB3PYPa17lljrvsHlqb4CaFOk2CTbGOy83vcV4g3IaAm8KuyxY+Jbvlgc/aQ50m7AsEPTJ3m7wPW6JuwzZM6M0PC3bfdULtmJxRkzunUyMwTPTNm7oq/i2fno12H6FtFH+vGkdowwo3QusgHkmhJTvrAGiHq7At9dVSqg9Qejxa6isZ1yKXeUiSFlZZ5jsQVg97UIv0mbLhECgrtOGMwN6TtIyyKd36bimfzGi/Jsyv7Z82W7KJeLK+NEZpfZDyfRN0X/Mo64MAsx9ZHwzY+i1tpH1QIOUXrpF47UMF2zL8vFzyfqiQVl9RLos4Wfbb5+27Wa5qXxDasuS5rygBhLYosXrLI7QO+GqhJTvrAGbLqhh2YJLIa5WlvlpK995thXrDbgeqPSI5lS95/ilZ1JZNlMC721WhDRx76e5lLf1O7te2NaJP+bbJ+7Al6ra6hgl9srz0eSJa1j4dPf5qZuHZZAuqTRN9+wcNBZ9fXZo4N7aVQFVBTht3mQ878jLUj4vLWkGh69NbStI+LEm2aytb5cOUvGMyy1X9EKZsu7YPY4R3met/2WNpmdu4pyYCCK0DsFpoyc46gBlAFXn3o5Zd6ps8zVfvRR2WRc2zhzYAbHShxQQQ2hYHr0Vdb3oPbdYHASbKrA8GrIKfkuXXsmG+ddaibluGnze0eT9USKuvKJdFnKJBJA+tk9dtH0DkGQ+rE/JQokwIBMppcAg972YfEFoHcRWhJTvrAGSNVQyT1Kqn+uoDk8znobpa6ovQ1jgxqDomgNAyEXwQaFpofYyRNpolYC45rirraaMp82FHXjJ5V1Do+rI+LEm2aytb5cOUvGMyy1X9EKZsu7YPY4R3mesnE3PPtucKgwBC6yAOIrRkZx2ALFiFPjRJDkfSy3v1yb5VJDX52BmRVNt+VMmyLo/2pNb5TFSNA6EtODEoXpgAQlsYGTeUIIDQloDGLYUIsIe2EC4KVyDAHtoK8Gq4FaF1APWF7/4gFlp57iwnG1cD6vvQJNmPukckpiKuoZ7qi9BWm1PcnU0Aoc1mRInqBBDa6gypYTgBhJYZ4osAQuuLdL52ENp8nIaW2nHcu+Mlx1svWBd/cb1GoK4sqrSQdrJv1w5NQmj5jaqbAEJbN2HqFwIILfOgbgIIbd2EqV8TQGjDmgsIbY54fOqCK9W99z8YlzzumCPUNVec99pdv/udUgcf3IvsbPJEXwFgLvOVpb9VTvWVOvV+VP3/+tCkwdJfWeY7/yiaHKHrRBGEthNhDHoQCG3Q4elM5xDazoQy2IEgtMGGpnMdQ2jDCilCmxGPL66/QT359HMDiRW53X/VPuritWfO3XnJJUp94Qtq28fOUC999ZqwojukN3nlVCRVPye1zOD0/lNZ1js4JGn+0TPJpb6+9qOWGUPT9yC0TUeg++0jtN2PcQgjRGhDiEK3+4DQdju+IY0OoQ0pGtHJ6rPRFVaXwurN6jUXqss+c7Y66vBD4o794qHfqHVfvk5t2nj5XEdf/3qlXnpJvXD7nWrHscd77Xzy4CNpWLKjIqBPbH0s7sfj+nv0PFS5ntgqz0WNBDUqV/YyM6jxyb4Ialmcue5DaHNholAFAghtBXjcmpsAQpsbFQVLEkBoS4LjtsIEENrCyGq9AaEdgvfpZ19U7zv1XHXXLVepVStXxCUX/Sw67ltEVoQ2eekM6IKfTc4Jp760gMqf5f/lhF65JCMqf5ZLS6vOlFYVUt128iRf+Vkye7r7/JJe/Riavi3xrfU3rkTlCG0JaNxSiABCWwgXhUsSQGhLguO23AQQ2tyoKFiRAEJbEaDj2xHaIUDzCO3IJeWeX+Uijm/a801xNfr7nsv2VPKl/3zQ8oMWvC4/12VctE8dEIAABCAAAQhAAAIQgAAEmiSA0FYU2iaDR9sQgAAEIAABCEAAAhCAAAT6TAChzYh+5h7aPs8exg4BCEAAAhCAAAQgAAEIQKBBAghtBvzMU44bDB5NQwACEIAABCAAAQhAAAIQ6DMBhDZH9Ic+hzbH/RSBAAQgAAEIQAACEIAABCAAAfcEENqSTJHckuB6elvR+ZJVPut1wbzphz9XG75x22uPmOop+74MO8+cSLLIKj/sdVm5cvPtPxpUd9wxRwye1d0X3n0dZ9a8MblklR/2+nU33aHWX3sr86xnky1rzricY8m65N/M8y+9Wm3csG7wqMaeoe/VcH3OM/PvMg364buv7xXzOgeL0JagyzLkEtB6fEvR+ZJVPut1eVbymnMui4kfdMC+CG0P5l7WnDARZJXPel3OFhg8izuqXP58yurj1dmnf7gHtPs7xKx54XqeyRvOa644b1Ct/Hn/Vfuoi9ee2d8gdHzkvueYxqk/AH70iWcQ2o7PMRme73kmQvvALx/hg98a5xZCWwIuB0WVgNbjW4rOl6zyWa+b/0AnxaPHYej00PPOCQ0hq3zW6yZM/rHu9PQaDK7ovMgqn/U686wf8yo5yqJzIqt81uvSdnI102Hv+ThC24Npl2deFJmXWfXxb2T9kwqhLcg4z7NpC1ZJ8Q4TKDpfssoLqvedeq6665ar1KqVK2JytnvMf6Q7jLj3Q8uaM3qeaFBZ5YvMMV2nZM6OfuuhZGg7PBuz5o2PeSZvGt/xtsPI0HZ0njUxx8ytOQhtRydXYlhNzDNzyTGr59zPM4S2INOivwgFq6d4xwgUnS9Z5YvIBntoOzaZUoaTNWfqFg39DzV7gbo935qcZyKyshSUvdrMsSSBrDmZ9e/lLx78zaJzJhDabs+xtCRAWmIgT/mseWb+Gyzl5UNguZJbKrpPvt4RIrQF+Wb9BWqbuAWboHiHCBSdL1nli/yNKIbHAAAKA0lEQVTFidB2aCINGUrWnKlTaPUhKskVA/2g3r9RNjnPNG1z31v/otDtEfueY1//5t8tONwuSfcrF31arT7x7d0G3tPR+Z5nNi/QZ53wQbC7SYjQlmCZtVa+RJXc0mECRedLVvms1zVKhLbDk8oYWt45oW/LKp/1utRDZrY/8yvvvDGJZM2jrNfN+ngT2P05V3ROZJXPet0kSoa2+3NMRlh0XmSVz3qdv8vqn1cIbQnGRU9HK9EEt3SIQNZ8MZeeZJXPeh2h7dDkyTmUrDnheo6xXCpnYDpWzPc8kzeJyUPtmHcdm1CW4fieYwht9+eUbYS+55n5dxnnAbifdwhtSaZFn19Vshlu6wiBYfPF9iYta34Nez352B6Nb+0nP8qBPR2ZS2nD8DXH9HItWz94fmPHJ1k0PF/zTEgm25I/s4e2+/PLjLsZc9f/XiK0/ZhTtlE2+XfZaSefwOF2jqceQusYKNVBAAIQgAAEIAABCEAAAhCAgB8CCK0fzrQCAQhAAAIQgAAEIAABCEAAAo4JILSOgVIdBCAAAQhAAAIQgAAEIAABCPghgND64UwrEIAABCAAAQhAAAIQgAAEIOCYAELrGCjVQQACEIAABCAAAQhAAAIQgIAfAgitH860AgEIQAACEIAABCAAAQhAAAKOCSC0joFSHQQgAAEIQAACEIAABCAAAQj4IYDQ+uFMKxCAAAQgAAEIQAACEIAABCDgmABC6xgo1UEAAhCAAAQgAAEIQAACEICAHwIIrR/OtAIBCEAAAhCAAAQgAAEIQAACjgkgtI6BUh0EIAABCEAAAhCAAAQgAAEI+CGA0PrhTCsQgAAEIAABCEAAAhCAAAQg4JgAQusYKNVBAAIQgAAEIAABCEAAAhCAgB8CCK0fzrQCAQhAAAIQgAAEIAABCEAAAo4JILSOgVIdBCAAAQhAAAIQgAAEIAABCPghgND64UwrEIAABCAAAQhAAAIQgAAEIOCYAELrGCjVQQACEIAABCAAAQhAAAIQgIAfAgitH860AgEIQAACEIAABCAAAQhAAAKOCSC0joFSHQQgAAEIQAACEIAABCAAAQj4IYDQ+uFMKxCAAAQgkEJg0w9/rs6/9OpFr37lok+r1Se+Xa1ec2H82qaNly8qI68duN9Kdc0V582VyajrsPd8fGgcDjpg37idL66/Qd18+4+sZTduWKeOOvwQ9akLrlT33v+g0n/WhX/x0G/UmnMuU8cdc8SgX2ZFefpxyurj1fprbx3cuvaTH1Vnn/7hQu3mGQcTEwIQgAAEINBmAghtm6NH3yEAAQi0nIAWrrtuuUqtWrliMBoR09t/cO9ACEUATzv5BHXx2jMHZa676Q5126Z7BqKbty5TPE0hldelrieffi5VSKWMFlqzX/rnw4Q2GTYtwLZ+2F4r0m6ecbR8CtF9CEAAAhDoOQGEtucTgOFDAAIQaJKAiKrOPA7rhyl2Tz/7onrfqecuyI7mrcul0O6/ap84k6uFXPdLJDdLiPP0I01o87aL0DY5u2kbAhCAAAR8EEBofVCmDQhAAAIQsBIwlwwPwyRy9rN/eDjOyEqWUqQumbEtUpe0MywzmkcEpQ9Hv/VQ9dQzL6j99t0rXg4sWWO55Gd1Cm3edvOMg6kJAQhAAAIQaDMBhLbN0aPvEIAABFpOQEtlchi2pbf69eTe04fvvn7B6IvWlSW0efbQili+7cg3x3tmpT/SP8nWfv2bf1e70OZplz20Lf8FofsQgAAEIJBJAKHNREQBCEAAAhDwQcCUL9tSZC2h+sCotH4VqavKHloRWn1Qk/RFZ42LZEbL7KHN226RfviIMW1AAAIQgAAEXBNAaF0TpT4IQAACEKhMQJbuygm/ZhbWtnc2q7G0urIytFlLhvWSYxFafbqyluMiIllFaLPaLdKPLI68DgEIQAACEAiRAEIbYlToEwQgAIEeEBA5veOun8YZTvPSomaefpwmtGXqcim00n/Zw6sfLVREJKsIbVa7RfrRgynHECEAAQhAoIMEENoOBpUhQQACEGgDAS2n0lczE2t7TI+UGya0cupxkbpcC22SeRGRrCq0w9ot0o82zBn6CAEIQAACEDAJILTMCQhAAAIQaJRA8qAn3ZG0PbJZS46L1JUltHkPhbJlmIuIZFo/9FJpzUTvKU4udTYDZ7bLoVCNTm0ahwAEIAABDwQQWg+QaQICEIAABCAAAQhAAAIQgAAE3BNAaN0zpUYIQAACEIAABCAAAQhAAAIQ8EAAofUAmSYgAAEIQAACEIAABCAAAQhAwD0BhNY9U2qEAAQgAAEIQAACEIAABCAAAQ8EEFoPkGkCAhCAAAQgAAEIQAACEIAABNwTQGjdM6VGCEAAAhCAAAQgAAEIQAACEPBAAKH1AJkmIAABCEAAAhCAAAQgAAEIQMA9AYTWPVNqhAAEIAABCEAAAhCAAAQgAAEPBBBaD5BpAgIQgAAEIAABCEAAAhCAAATcE0Bo3TOlRghAAAIQgAAEIAABCEAAAhDwQACh9QCZJiAAAQhAAAIQgAAEIAABCEDAPQGE1j1TaoQABCAAAQhAAAIQgAAEIAABDwQQWg+QaQICEIAABCAAAQhAAAIQgAAE3BNAaN0zpUYIQAACEIAABCAAAQhAAAIQ8EAAofUAmSYgAAEIQAACEIAABCAAAQhAwD0BhNY9U2qEAAQgAAEIQAACEIAABCAAAQ8EEFoPkGkCAhCAAAQgAAEIQAACEIAABNwTQGjdM6VGCEAAAhCAAAQgAAEIQAACEPBAAKH1AJkmIAABCEAAAhCAAAQgAAEIQMA9AYTWPVNqhAAEIAABCEAAAhCAAAQgAAEPBBBaD5BpAgIQgAAEIAABCEAAAhCAAATcE0Bo3TOlRghAAAIQgAAEIAABCEAAAhDwQACh9QCZJiAAAQhAAAIQgAAEIAABCEDAPQGE1j1TaoQABCAAAQhAAAIQgAAEIAABDwQQWg+QaQICEIAABCAAAQhAAAIQgAAE3BNAaN0zpUYIQAACEIAABCAAAQhAAAIQ8EAAofUAmSYgAAEIQAACEIAABCAAAQhAwD0BhNY9U2qEAAQgAAEIQAACEIAABCAAAQ8EEFoPkGkCAhCAAAQgAAEIQAACEIAABNwTQGjdM6VGCEAAAhCAAAQgAAEIQAACEPBAAKH1AJkmIAABCEAAAhCAAAQgAAEIQMA9AYTWPVNqhAAEIAABCEAAAhCAAAQgAAEPBBBaD5BpAgIQgAAEIAABCEAAAhCAAATcE0Bo3TOlRghAAAIQgAAEIAABCEAAAhDwQACh9QCZJiAAAQhAAAIQgAAEIAABCEDAPQGE1j1TaoQABCAAAQhAAAIQgAAEIAABDwQQWg+QaQICEIAABCAAAQhAAAIQgAAE3BNAaN0zpUYIQAACEIAABCAAAQhAAAIQ8EDg/wcdpdbyG4HmgQAAAABJRU5ErkJggg==",
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},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"#The very early part of the reaction\n",
"uc.plot_history(title_prefix=f\"Detail when E0 = {E_init}\", range_x=[0, 0.005], range_y=[0, 30.])"
]
},
{
"cell_type": "code",
"execution_count": 85,
"id": "8d9bcbff-1ff0-4ad5-8d77-223171966b86",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"plot_pandas() NOTICE: Excessive number of vertical lines (750) - only showing 1 every 6 lines\n"
]
},
{
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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# The full reaction of E and ES\n",
"uc.plot_history(chemicals=['E', 'ES'], show_intervals=True, \n",
" title_prefix=f\"E and ES when E0 = {E_init}\")"
]
},
{
"cell_type": "markdown",
"id": "7e1d57c5-4f7a-4e1e-a9e5-0303d60e3020",
"metadata": {},
"source": [
"#### At these high initial concentrations of [E], we're now beginning to see [E] and [ES] no longer overlapping; the overshoot is still present in both"
]
},
{
"cell_type": "code",
"execution_count": 86,
"id": "ff72f0a5-b05c-4269-9d98-786e0b53c921",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" SYSTEM TIME | \n",
" E | \n",
" ES | \n",
" P | \n",
"
\n",
" \n",
" \n",
" \n",
" | 749 | \n",
" 0.010054 | \n",
" 18.411337 | \n",
" 11.588663 | \n",
" 6.998847 | \n",
"
\n",
" \n",
"
\n",
"
"
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"text/plain": [
" SYSTEM TIME E ES P\n",
"749 0.010054 18.411337 11.588663 6.998847"
]
},
"execution_count": 86,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"uc.get_history(columns=['SYSTEM TIME', 'E', 'ES', 'P'], tail=1) # Last point in the simulation"
]
},
{
"cell_type": "code",
"execution_count": 87,
"id": "907c937b-bba7-4f7d-8682-86daa9717831",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"6.998846772430818"
]
},
"execution_count": 87,
"metadata": {},
"output_type": "execute_result"
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],
"source": [
"P_equil = uc.get_chem_conc(\"P\")\n",
"P_equil"
]
},
{
"cell_type": "markdown",
"id": "96560369-9a78-40f4-90c3-2ecb441f2bc4",
"metadata": {},
"source": [
"#### P_equil continues to decrease with increasing initial [E]"
]
},
{
"cell_type": "code",
"execution_count": 88,
"id": "8a14ce96-a237-4610-9e87-38a6231ca263",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"4.899192740701572"
]
},
"execution_count": 88,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"P_70_threshold = P_equil * 0.70\n",
"P_70_threshold"
]
},
{
"cell_type": "code",
"execution_count": 89,
"id": "f6d96e06-599d-4c14-beca-30a37d083617",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.002747856201107546"
]
},
"execution_count": 89,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"uc.reach_threshold(chem=\"P\", threshold=P_70_threshold)"
]
},
{
"cell_type": "markdown",
"id": "9dc94f9b-7c97-468d-90b4-c37b7483ca67",
"metadata": {
"tags": []
},
"source": [
"#### The time at which we reach the 70% threshold of the equilibrium value of P continues to decrease with increasing initial [E]"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "3715cc7b-385f-4119-8b75-2d494ffd892e",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"id": "cef69c73-8295-4f75-8310-ebcc3ec4fc2b",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "markdown",
"id": "f4d60280-db10-4e82-9d6f-02090bdd888d",
"metadata": {
"tags": []
},
"source": [
"# 8. Keep increasing the initial [E]"
]
},
{
"cell_type": "code",
"execution_count": 90,
"id": "a6b8d011-9592-4386-983e-f530b5f90298",
"metadata": {},
"outputs": [],
"source": [
"E_init = 60.0 # Triple the initial [S]"
]
},
{
"cell_type": "code",
"execution_count": 91,
"id": "2b677f97-a5de-486a-89f8-9bc3137b3d7e",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"SYSTEM STATE at Time t = 0:\n",
"4 species:\n",
" Species 0 (S). Conc: 20.0\n",
" Species 1 (E). Conc: 60.0\n",
" Species 2 (ES). Conc: 0.0\n",
" Species 3 (P). Conc: 0.0\n",
"Set of chemicals involved in reactions: {'ES', 'E', 'S', 'P'}\n"
]
}
],
"source": [
"uc = UniformCompartment(reactions=rxns, preset=\"slower\") # A brand-new simulation, with the same chemicals and reactions as before\n",
"\n",
"uc.set_conc(conc={\"S\": 20., \"E\": E_init}) \n",
"uc.describe_state()"
]
},
{
"cell_type": "code",
"execution_count": 92,
"id": "07850faa-b7a7-4c58-9017-a95a1e93eb46",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"770 total variable step(s) taken in 0.03 min\n",
"Number of step re-do's because of elective soft aborts: 3\n",
"Norm usage: {'norm_A': 765, 'norm_B': 767, 'norm_C': 764, 'norm_D': 764}\n",
"System Time is now: 0.0050084\n"
]
}
],
"source": [
"# Perform the reactions (The duration of the run was manually adjusted for optimal visibility)\n",
"uc.single_compartment_react(duration=0.005,\n",
" initial_step=0.00005)"
]
},
{
"cell_type": "code",
"execution_count": 93,
"id": "b850c64e-b44b-4cce-881e-569483921906",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"True"
]
},
"execution_count": 93,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Verify that the reactions have reached equilibrium\n",
"uc.is_in_equilibrium(verbose=False)"
]
},
{
"cell_type": "code",
"execution_count": 94,
"id": "28c1e572-a798-4605-82ba-9b7430bda4bf",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"plot_pandas() NOTICE: Excessive number of vertical lines (771) - only showing 1 every 6 lines\n"
]
},
{
"data": {
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"config": {
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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"uc.plot_history(show_intervals=True, \n",
" title_prefix=f\"E0 = {E_init}\")"
]
},
{
"cell_type": "code",
"execution_count": 95,
"id": "417d9ff2-d739-44af-aff0-72513b3c7d66",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(0.0007023910558856093, 1.5191639777843677)"
]
},
"execution_count": 95,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Locate the intersection of the curves for [S] and [P]:\n",
"uc.curve_intersect(\"S\", \"P\", t_start=0, t_end=0.005)"
]
},
{
"cell_type": "markdown",
"id": "497f2877-4ce5-41cd-9119-e483df6fcf14",
"metadata": {},
"source": [
"#### The timescales of [S] and [P] continues to become faster with a higher initial [E] -- **AND NOW THEY REMAIN COMPARABLE THE TIMESCALES OF E AND ES**"
]
},
{
"cell_type": "markdown",
"id": "89ff44f1-0c42-4a6d-8fe3-b1efab242da1",
"metadata": {},
"source": [
"#### At these high initial concentrations of [E], [E] and [ES] no longer overlapping, and are now getting further apart"
]
},
{
"cell_type": "code",
"execution_count": 96,
"id": "449c94a5-dd8e-4681-b654-dce7b685a7c7",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" SYSTEM TIME | \n",
" E | \n",
" ES | \n",
" P | \n",
"
\n",
" \n",
" \n",
" \n",
" | 770 | \n",
" 0.005008 | \n",
" 44.60637 | \n",
" 15.39363 | \n",
" 3.832618 | \n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" SYSTEM TIME E ES P\n",
"770 0.005008 44.60637 15.39363 3.832618"
]
},
"execution_count": 96,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"uc.get_history(columns=['SYSTEM TIME', 'E', 'ES', 'P'], tail=1) # Last point in the simulation"
]
},
{
"cell_type": "code",
"execution_count": 97,
"id": "41db82fe-6607-44f8-9723-9a0d3f7306a6",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"3.832618199402545"
]
},
"execution_count": 97,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"P_equil = uc.get_chem_conc(\"P\")\n",
"P_equil"
]
},
{
"cell_type": "markdown",
"id": "c4951935-f4a1-4790-b198-fd0e2bfc18ca",
"metadata": {},
"source": [
"#### P_equil continues to decrease with increasing initial [E]"
]
},
{
"cell_type": "code",
"execution_count": 98,
"id": "e7cb5350-03c0-49da-a185-fd7af33f1312",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"2.682832739581781"
]
},
"execution_count": 98,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"P_70_threshold = P_equil * 0.70\n",
"P_70_threshold"
]
},
{
"cell_type": "code",
"execution_count": 99,
"id": "fbbb456b-0880-4aa2-b300-89d1204ad53d",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.001390053726276219"
]
},
"execution_count": 99,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"uc.reach_threshold(chem=\"P\", threshold=P_70_threshold)"
]
},
{
"cell_type": "markdown",
"id": "977bfde9-42e1-4733-bac6-bae954134aac",
"metadata": {
"tags": []
},
"source": [
"#### The time at which we reach the 70% threshold of the equilibrium value of P continues to decrease with increasing initial [E]"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "6c7df8fa-c510-45db-9e5f-52e62766e52f",
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},
{
"cell_type": "code",
"execution_count": null,
"id": "09d0e661-f920-4070-82e4-e0e0affc188d",
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},
{
"cell_type": "markdown",
"id": "4a771e38-d7b2-444a-bfe8-b0032cbc79f4",
"metadata": {
"tags": []
},
"source": [
"# 9. Keep increasing the initial [E]"
]
},
{
"cell_type": "code",
"execution_count": 100,
"id": "338fbe68-dde9-4159-a405-973ee8a7c796",
"metadata": {},
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"source": [
"E_init = 100.0 # Quintuple the initial [S]"
]
},
{
"cell_type": "code",
"execution_count": 101,
"id": "c45f280a-708c-4de0-95dc-03a629dbebfe",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"SYSTEM STATE at Time t = 0:\n",
"4 species:\n",
" Species 0 (S). Conc: 20.0\n",
" Species 1 (E). Conc: 100.0\n",
" Species 2 (ES). Conc: 0.0\n",
" Species 3 (P). Conc: 0.0\n",
"Set of chemicals involved in reactions: {'ES', 'E', 'S', 'P'}\n"
]
}
],
"source": [
"uc = UniformCompartment(reactions=rxns, preset=\"slower\") # A brand-new simulation, with the same chemicals and reactions as before\n",
"\n",
"uc.set_conc(conc={\"S\": 20., \"E\": E_init}) \n",
"uc.describe_state()"
]
},
{
"cell_type": "code",
"execution_count": 102,
"id": "5d5bcb4d-3932-4cee-bb45-7bd19db664a1",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"785 total variable step(s) taken in 0.03 min\n",
"Number of step re-do's because of elective soft aborts: 3\n",
"Norm usage: {'norm_A': 784, 'norm_B': 787, 'norm_C': 783, 'norm_D': 783}\n",
"System Time is now: 0.0030275\n"
]
}
],
"source": [
"# Perform the reactions (The duration of the run was manually adjusted for optimal visibility)\n",
"uc.single_compartment_react(duration=0.003,\n",
" initial_step=0.00005)"
]
},
{
"cell_type": "code",
"execution_count": 103,
"id": "2ca20feb-38fe-4737-99b7-2b0472453781",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"True"
]
},
"execution_count": 103,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Verify that the reactions have reached equilibrium\n",
"uc.is_in_equilibrium(verbose=False)"
]
},
{
"cell_type": "code",
"execution_count": 104,
"id": "38b01a6e-4c2a-47a2-b4bf-793f90470590",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"plot_pandas() NOTICE: Excessive number of vertical lines (786) - only showing 1 every 6 lines\n"
]
},
{
"data": {
"application/vnd.plotly.v1+json": {
"config": {
"plotlyServerURL": "https://plot.ly"
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"hovertemplate": "Chemical=S
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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"uc.plot_history(show_intervals=True, \n",
" title_prefix=f\"E0 = {E_init}\")"
]
},
{
"cell_type": "code",
"execution_count": 105,
"id": "803d88fa-f551-4f56-96af-37b417c505b4",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(0.0004266715141239805, 0.9491814221946882)"
]
},
"execution_count": 105,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Locate the intersection of the curves for [S] and [P]:\n",
"uc.curve_intersect(\"S\", \"P\", t_start=0, t_end=0.005)"
]
},
{
"cell_type": "markdown",
"id": "ecbaf247-3675-44b8-9bbc-a71f37f341ba",
"metadata": {},
"source": [
"#### The timescales of [S] and [P] continues to become faster with a higher initial [E] -- **AND REMAIN COMPARABLE TO THE TIMESCALES OF E AND ES**"
]
},
{
"cell_type": "markdown",
"id": "3491b263-298d-4057-926a-c57ed7eb5444",
"metadata": {},
"source": [
"#### At these high initial concentrations of [E], the time curves of [E] and [ES] no longer overlapping, and are now getting further apart"
]
},
{
"cell_type": "code",
"execution_count": 106,
"id": "92812a67-0f27-4e7f-837b-368a426921d0",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" SYSTEM TIME | \n",
" E | \n",
" ES | \n",
" P | \n",
"
\n",
" \n",
" \n",
" \n",
" | 785 | \n",
" 0.003028 | \n",
" 82.779099 | \n",
" 17.220901 | \n",
" 2.312829 | \n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" SYSTEM TIME E ES P\n",
"785 0.003028 82.779099 17.220901 2.312829"
]
},
"execution_count": 106,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"uc.get_history(columns=['SYSTEM TIME', 'E', 'ES', 'P'], tail=1) # Last point in the simulation"
]
},
{
"cell_type": "code",
"execution_count": 107,
"id": "5c48aa58-e44c-4e18-9c60-c562560aa0e9",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"2.3128291895441793"
]
},
"execution_count": 107,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"P_equil = uc.get_chem_conc(\"P\")\n",
"P_equil"
]
},
{
"cell_type": "markdown",
"id": "da34f793-1dd1-41a0-a20b-8e15e82654db",
"metadata": {},
"source": [
"#### P_equil continues to decrease with increasing initial [E]"
]
},
{
"cell_type": "code",
"execution_count": 108,
"id": "98698d70-47a1-4763-be1f-89660bd27ffa",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"1.6189804326809254"
]
},
"execution_count": 108,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"P_70_threshold = P_equil * 0.70\n",
"P_70_threshold"
]
},
{
"cell_type": "code",
"execution_count": 109,
"id": "69acbdb6-7a06-4e96-9ad7-3bdfc3ef92c7",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.0008229365407830671"
]
},
"execution_count": 109,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"uc.reach_threshold(chem=\"P\", threshold=P_70_threshold)"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "1806b972-6770-4a1a-be69-1f1504c6da94",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "markdown",
"id": "6974ce46-642c-47a5-96b2-e4f3c9fa6b5d",
"metadata": {},
"source": [
"# CONCLUSION: \n",
"### as the initial concentration of the Enzyme E increases from zero to lavish values much larger that the concentration of the Substrate S, the reaction keeps reaching an equilibrium faster and faster... \n",
"#### BUT the equilibrium concentration of the Product P steadily _reduces_ - and ES, far from being transient, actually builds up. \n",
"#### The **strange world of departing from the customary Michaelis-Menten assumptions** that `[E] << [S]` and that the rates satisfy `k1_reverse >> k2_forward` !"
]
},
{
"cell_type": "code",
"execution_count": 110,
"id": "073427b4-27a8-407d-bdee-0df89430eb16",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" SYSTEM TIME | \n",
" S | \n",
" E | \n",
" ES | \n",
" P | \n",
" caption | \n",
"
\n",
" \n",
" \n",
" \n",
" | 0 | \n",
" 0.0 | \n",
" 20.0 | \n",
" 100.0 | \n",
" 0.0 | \n",
" 0.0 | \n",
" Set concentration | \n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" SYSTEM TIME S E ES P caption\n",
"0 0.0 20.0 100.0 0.0 0.0 Set concentration"
]
},
"execution_count": 110,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"uc.get_history(head=1) # First point in the simulation"
]
},
{
"cell_type": "code",
"execution_count": 111,
"id": "1b5546d6",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" SYSTEM TIME | \n",
" S | \n",
" E | \n",
" ES | \n",
" P | \n",
" caption | \n",
"
\n",
" \n",
" \n",
" \n",
" | 785 | \n",
" 0.003028 | \n",
" 0.46627 | \n",
" 82.779099 | \n",
" 17.220901 | \n",
" 2.312829 | \n",
" last reaction step | \n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" SYSTEM TIME S E ES P caption\n",
"785 0.003028 0.46627 82.779099 17.220901 2.312829 last reaction step"
]
},
"execution_count": 111,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"uc.get_history(tail=1) # Last point in the simulation"
]
},
{
"cell_type": "markdown",
"id": "9c5c0d06-8dc7-43c9-affa-5ead52f95cb8",
"metadata": {},
"source": [
"### When the initial [E] is quite high, relatively little of the reactant S goes into making the product P ; most of S binds with the abundant E, to produce a lasting ES \n",
"The following manual stoichiometry check illustrates it."
]
},
{
"cell_type": "markdown",
"id": "22946daf-a9fc-4b93-a9ff-b97b385299a0",
"metadata": {},
"source": [
"#### Manual overall STOICHIOMETRY CHECK:"
]
},
{
"cell_type": "code",
"execution_count": 112,
"id": "8e3cdce6-5f0d-404a-aaa1-907b4c5ab241",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"-19.53373"
]
},
"execution_count": 112,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"delta_S = 0.46627 - 20.0\n",
"delta_S"
]
},
{
"cell_type": "code",
"execution_count": 113,
"id": "4e36063d-e6f9-4dfd-b1f3-79f4aeafdd8f",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"-17.220900999999998"
]
},
"execution_count": 113,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"delta_E = 82.779099 - 100.0\n",
"delta_E"
]
},
{
"cell_type": "code",
"execution_count": 114,
"id": "3dbf7a73",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"-17.220900999999998"
]
},
"execution_count": 114,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"delta_E = 82.779099 - 100.0\n",
"delta_E"
]
},
{
"cell_type": "code",
"execution_count": 115,
"id": "ffd30805-1f47-4410-a6c8-5c8db4d9bbad",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"17.220901"
]
},
"execution_count": 115,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"delta_ES = 17.220901 - 0\n",
"delta_ES"
]
},
{
"cell_type": "code",
"execution_count": 116,
"id": "4d77a7f6-0d90-46e7-9d7a-b155460e546d",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Number of reactions: 3 (at temp. 25 C)\n",
"0: S <-> P (kF = 1 / kR = 0.2 / delta_G = -3,989.7 / K = 5) | 1st order in all reactants & products\n",
"1: E + S <-> ES (kF = 100 / kR = 224.07 / delta_G = 2,000 / K = 0.44629) | 1st order in all reactants & products\n",
"2: ES <-> E + P (kF = 200 / kR = 17.851 / delta_G = -5,989.7 / K = 11.204) | 1st order in all reactants & products\n",
"Set of chemicals involved in the above reactions: {\"ES\" (red), \"E\" (violet), \"S\" (cyan), \"P\" (green)}\n"
]
}
],
"source": [
"rxns.describe_reactions()"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "83580347-c7aa-4ac7-aafc-cc81b24de20a",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "markdown",
"id": "95749790-0ab6-4640-b525-4802dcaf9de3",
"metadata": {},
"source": [
"19.53373 units of `S` are consumed : a meager 2.312829 of that goes into the production of `P` (rxn 0) ; the remainder of Delta S is:"
]
},
{
"cell_type": "code",
"execution_count": 117,
"id": "b7372ba6-8da7-4ee0-a888-d04baea7f4c9",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"17.220900999999998"
]
},
"execution_count": 117,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"19.53373 - 2.312829"
]
},
{
"cell_type": "markdown",
"id": "78d8e067-1704-44d8-8f10-a7888d44c277",
"metadata": {},
"source": [
"That extra Delta S of 17.2209 combines with an equal amount of `E` to produce the same amount, 17.2209, of ES (rxn 1) \n",
"\n",
"`E`, now depleted by that amount of 17.2209, reaches the value:"
]
},
{
"cell_type": "code",
"execution_count": 118,
"id": "271f073f-1e22-456b-825b-2acf555519c9",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"82.7791"
]
},
"execution_count": 118,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"100 - 17.2209"
]
},
{
"cell_type": "code",
"execution_count": 119,
"id": "a1f87fde-d486-40ab-baee-b73b0abf9f6c",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"0: S <-> P\n",
"Final concentrations: [S] = 0.4663 ; [P] = 2.313\n",
"1. Ratio of reactant/product concentrations, adjusted for reaction orders: 4.96028\n",
" Formula used: [P] / [S]\n",
"2. Ratio of forward/reverse reaction rates: 5.00001\n",
"Discrepancy between the two values: 0.7945 %\n",
"Reaction IS in equilibrium (within 1% tolerance)\n",
"\n",
"1: E + S <-> ES\n",
"Final concentrations: [E] = 82.78 ; [S] = 0.4663 ; [ES] = 17.22\n",
"1. Ratio of reactant/product concentrations, adjusted for reaction orders: 0.446167\n",
" Formula used: [ES] / ([E][S])\n",
"2. Ratio of forward/reverse reaction rates: 0.446288\n",
"Discrepancy between the two values: 0.027 %\n",
"Reaction IS in equilibrium (within 1% tolerance)\n",
"\n",
"2: ES <-> E + P\n",
"Final concentrations: [ES] = 17.22 ; [E] = 82.78 ; [P] = 2.313\n",
"1. Ratio of reactant/product concentrations, adjusted for reaction orders: 11.1175\n",
" Formula used: ([E][P]) / [ES]\n",
"2. Ratio of forward/reverse reaction rates: 11.2035\n",
"Discrepancy between the two values: 0.7677 %\n",
"Reaction IS in equilibrium (within 1% tolerance)\n",
"\n"
]
},
{
"data": {
"text/plain": [
"True"
]
},
"execution_count": 119,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Also review that the chemical equilibrium holds, with the final simulation values\n",
"uc.is_in_equilibrium()"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "3c4cee2d-2d29-4666-b067-45a4cd9706b4",
"metadata": {},
"outputs": [],
"source": []
}
],
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