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"## A complex (composite/multistep) reaction `A <-> C` derived from 2 coupled elementary reactions: \n",
"## `A <-> B` and `B <-> C` \n",
"We are given the time evolution of the complex reaction, \n",
"and want to determine whether it can be modeled as an elementary reaction. \n",
"\n",
"In PART 1, a time evolution of [A], [B] and [C] is obtained by simulation \n",
"In PART 2, the time functions generated in Part 1 are taken as a _starting point,_ to explore how to model the composite reaction `A <-> C` \n",
"\n",
"**Background**: please see experiments `cascade_1` and `mystery_reaction_1`"
]
},
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"cell_type": "code",
"execution_count": 1,
"id": "313e55f6-1051-45a4-ac4a-64891c199673",
"metadata": {},
"outputs": [],
"source": [
"LAST_REVISED = \"Nov. 12, 2024\"\n",
"LIFE123_VERSION = \"1.0.0.rc.0\" # Library version this experiment is based on"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "fb596420-0b1d-4667-8d37-187290ab622d",
"metadata": {},
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"source": [
"#import set_path # Using MyBinder? Uncomment this before running the next cell!"
]
},
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"cell_type": "code",
"execution_count": 3,
"id": "3924c013",
"metadata": {
"tags": []
},
"outputs": [],
"source": [
"#import sys\n",
"#sys.path.append(\"C:/some_path/my_env_or_install\") # CHANGE to the folder containing your venv or libraries installation!\n",
"# NOTE: If any of the imports below can't find a module, uncomment the lines above, or try: import set_path \n",
"\n",
"from life123 import check_version, UniformCompartment, ReactionKinetics, PlotlyHelper"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "323423d1-ad47-4fc4-ac23-36ab55488ba6",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"OK\n"
]
}
],
"source": [
"check_version(LIFE123_VERSION)"
]
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"cell_type": "code",
"execution_count": null,
"id": "fe5d6bfa-7e62-491a-a57f-be5105081a9d",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"id": "75411c8b-f0c5-411d-9e12-1eaa423449f9",
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},
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"cell_type": "markdown",
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"# PART 1 - We'll generate the time evolution of [A] and [C] by simulating coupled elementary reactions of KNOWN rate constants...\n",
"## but pretend you don't see this section! (because we later assume that those time evolutions are just GIVEN to us)"
]
},
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"cell_type": "code",
"execution_count": 5,
"id": "72b4245c-de4e-480d-a501-3495b7ed8bc4",
"metadata": {
"tags": []
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"name": "stdout",
"output_type": "stream",
"text": [
"Number of reactions: 2 (at temp. 25 C)\n",
"0: A <-> B (kF = 8 / kR = 2 / delta_G = -3,436.6 / K = 4) | 1st order in all reactants & products\n",
"1: B <-> C (kF = 12 / kR = 1 / delta_G = -6,160 / K = 12) | 1st order in all reactants & products\n",
"Set of chemicals involved in the above reactions: {'B', 'A', 'C'}\n"
]
}
],
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"# Instantiate the simulator and specify the chemicals\n",
"# Here we use the \"mid\" preset for the variable steps, a compromise between speed and accuracy\n",
"dynamics = UniformCompartment(preset=\"mid\")\n",
"\n",
"# Reaction A <-> B (slower, and with a smaller K)\n",
"dynamics.add_reaction(reactants=\"A\", products=\"B\",\n",
" forward_rate=8., reverse_rate=2.) \n",
"\n",
"# Reaction B <-> C (faster, and with a larger K)\n",
"dynamics.add_reaction(reactants=\"B\", products=\"C\",\n",
" forward_rate=12., reverse_rate=1.) \n",
" \n",
"dynamics.describe_reactions()"
]
},
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"cell_type": "markdown",
"id": "98a9fbe5-2090-4d38-9c5f-94fbf7c3eae2",
"metadata": {},
"source": [
"### Run the simulation"
]
},
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"cell_type": "code",
"execution_count": 6,
"id": "ae304704-c8d9-4cef-9e0b-2587bb3909ef",
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"name": "stdout",
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"text": [
"SYSTEM STATE at Time t = 0:\n",
"3 species:\n",
" Species 0 (A). Conc: 50.0\n",
" Species 1 (B). Conc: 0.0\n",
" Species 2 (C). Conc: 0.0\n",
"Set of chemicals involved in reactions: {'B', 'A', 'C'}\n"
]
}
],
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"dynamics.set_conc({\"A\": 50.}) # Set the initial concentrations\n",
"dynamics.describe_state()"
]
},
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"cell_type": "code",
"execution_count": 7,
"id": "2502cd11-0df9-4303-8895-98401a1df7b8",
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"name": "stdout",
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"85 total step(s) taken in 0.176 sec\n",
"Number of step re-do's because of elective soft aborts: 1\n",
"Norm usage: {'norm_A': 24, 'norm_B': 25, 'norm_C': 23, 'norm_D': 23}\n",
"System Time is now: 0.80986\n"
]
}
],
"source": [
"dynamics.single_compartment_react(initial_step=0.01, duration=0.8,\n",
" variable_steps=True)"
]
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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"dynamics.plot_history(colors=['darkturquoise', 'orange', 'green'], show_intervals=True)"
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "042a23ff-84de-4273-ae7b-09b73b740b4c",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"0: A <-> B\n",
"Final concentrations: [A] = 1.096 ; [B] = 3.898\n",
"1. Ratio of reactant/product concentrations, adjusted for reaction orders: 3.55592\n",
" Formula used: [B] / [A]\n",
"2. Ratio of forward/reverse reaction rates: 4\n",
"Discrepancy between the two values: 11.1 %\n",
"Reaction IS in equilibrium (within 12% tolerance)\n",
"\n",
"1: B <-> C\n",
"Final concentrations: [B] = 3.898 ; [C] = 45.01\n",
"1. Ratio of reactant/product concentrations, adjusted for reaction orders: 11.5475\n",
" Formula used: [C] / [B]\n",
"2. Ratio of forward/reverse reaction rates: 12\n",
"Discrepancy between the two values: 3.771 %\n",
"Reaction IS in equilibrium (within 12% tolerance)\n",
"\n"
]
},
{
"data": {
"text/plain": [
"True"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"dynamics.is_in_equilibrium(tolerance=12)"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "3d157b9c-f26a-4564-a250-ecc7514ff064",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"id": "bed9100c-f575-4591-bf8e-a32de741fa7a",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "markdown",
"id": "1f447754-5017-4b48-a4f5-fc9049b7de64",
"metadata": {},
"source": [
"# PART 2 - This is the starting point of fitting the data from part 1. \n",
"### We're given the data of the time evolution of `A` and `C`, and we want to try to model the complex reaction `A <-> C`"
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"Let's start by taking stock of the actual data (saved during the simulation of part 1):"
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"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" SYSTEM TIME | \n",
" A | \n",
" C | \n",
" caption | \n",
"
\n",
" \n",
" \n",
" \n",
" | 0 | \n",
" 0.000000 | \n",
" 50.000000 | \n",
" 0.000000 | \n",
" Set concentration | \n",
"
\n",
" \n",
" | 1 | \n",
" 0.004000 | \n",
" 48.400000 | \n",
" 0.000000 | \n",
" 1st reaction step | \n",
"
\n",
" \n",
" | 2 | \n",
" 0.008000 | \n",
" 46.864000 | \n",
" 0.076800 | \n",
" | \n",
"
\n",
" \n",
" | 3 | \n",
" 0.010000 | \n",
" 46.126413 | \n",
" 0.150067 | \n",
" | \n",
"
\n",
" \n",
" | 4 | \n",
" 0.011000 | \n",
" 45.764849 | \n",
" 0.194599 | \n",
" | \n",
"
\n",
" \n",
" | ... | \n",
" ... | \n",
" ... | \n",
" ... | \n",
" ... | \n",
"
\n",
" \n",
" | 81 | \n",
" 0.638365 | \n",
" 1.497612 | \n",
" 44.279102 | \n",
" | \n",
"
\n",
" \n",
" | 82 | \n",
" 0.670313 | \n",
" 1.384698 | \n",
" 44.483579 | \n",
" | \n",
"
\n",
" \n",
" | 83 | \n",
" 0.708651 | \n",
" 1.276811 | \n",
" 44.678990 | \n",
" | \n",
"
\n",
" \n",
" | 84 | \n",
" 0.754656 | \n",
" 1.179000 | \n",
" 44.856174 | \n",
" | \n",
"
\n",
" \n",
" | 85 | \n",
" 0.809862 | \n",
" 1.096061 | \n",
" 45.006431 | \n",
" last reaction step | \n",
"
\n",
" \n",
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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"ReactionKinetics.estimate_rate_constants_simple(t=t_arr, A_conc=A_conc, B_conc=C_conc, reactant_name=\"A\", product_name=\"C\")"
]
},
{
"cell_type": "markdown",
"id": "94af05ee-037a-4223-a1a7-fa681baf5ae1",
"metadata": {},
"source": [
"### The least-square fit is awful : the complex reaction `A <-> C` doesn't seem to be amenable to being modeled as an elementary reaction with some suitable rate constants\n",
"Probably not too surprising given our \"secret\" knowledge from Part 1 that the complex reaction originates from 2 elementary reactions where the intermediate product builds up at one point"
]
},
{
"cell_type": "markdown",
"id": "8951650d-cb8c-4def-99c3-4e465a12b9d4",
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"source": [
"### A glance at the above diagram reveals much-better linear fits, if split into 2 portions, one where A(t) ranges from 0 to about 24, and one from about 24 to 50 \n",
"Indeed, revisiting the early portion of the time plot from Part 1, one can see an inflection in the [C] green curve roughly around time t=0.1, which is when [A] is around 24 (turquoise). That's shortly after the peak of the mystery intermediate B (orange). \n",
"\n",
"We'll pick time **t=0.1** as the divider between the 2 domains of the `A <-> C` time evolution that we want to model. "
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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"dynamics.plot_history(colors=['darkturquoise', 'orange', 'green'], range_x=[0, 0.4],\n",
" vertical_lines_to_add=[0.1])"
]
},
{
"cell_type": "markdown",
"id": "6d4a4dbd-de22-471c-a1a4-5507941d92e1",
"metadata": {},
"source": [
"#### Let's locate where the t = 0.1 point occurs in the data"
]
},
{
"cell_type": "code",
"execution_count": 29,
"id": "3795ba32-68ec-4d20-9b6b-c2a117810741",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" search_value | \n",
" SYSTEM TIME | \n",
" A | \n",
" B | \n",
" C | \n",
" caption | \n",
"
\n",
" \n",
" \n",
" \n",
" | 47 | \n",
" 0.1 | \n",
" 0.098644 | \n",
" 24.020441 | \n",
" 14.383519 | \n",
" 11.59604 | \n",
" | \n",
"
\n",
" \n",
"
\n",
"
t=%{x}
value=%{y}",
"legendgroup": "wide_variable_0",
"line": {
"color": "green",
"dash": "solid"
},
"marker": {
"symbol": "circle"
},
"mode": "lines",
"name": "d/dt C(t): exact",
"orientation": "v",
"showlegend": true,
"type": "scatter",
"x": [
0,
0.004,
0.008,
0.01,
0.011,
0.012,
0.013000000000000001,
0.014000000000000002,
0.015000000000000003,
0.016000000000000004,
0.017000000000000005,
0.018000000000000006,
0.019000000000000006,
0.020000000000000007,
0.021000000000000008,
0.02200000000000001,
0.02300000000000001,
0.02400000000000001,
0.025000000000000012,
0.026000000000000013,
0.027200000000000012,
0.028400000000000012,
0.02960000000000001,
0.03080000000000001,
0.03224000000000001,
0.03368000000000001,
0.035120000000000005,
0.036848000000000006,
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0.040304000000000006,
0.04203200000000001,
0.04410560000000001,
0.04617920000000001,
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0.058703744000000016,
0.06168972800000001,
0.06467571200000001,
0.06825889280000001,
0.07184207360000001,
0.07542525440000002,
0.07972507136000001,
0.08402488832,
0.08832470528,
0.093484485632,
0.098644265984
],
"xaxis": "x",
"y": [
-9.600000000000001,
9.600000000000001,
30.822399999999995,
41.899315200000004,
46.41209925119996,
50.12635364006394,
53.750260495463436,
57.28550409970293,
60.73373957343236,
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160.00570033308645,
160.73927115789127,
161.15321666154205,
161.37579227171
],
"yaxis": "y"
},
{
"hovertemplate": "d/dt C(t): least-square fit :
t=%{x}
value=%{y}",
"legendgroup": "wide_variable_1",
"line": {
"color": "red",
"dash": "solid"
},
"marker": {
"symbol": "circle"
},
"mode": "lines",
"name": "d/dt C(t): least-square fit",
"orientation": "v",
"showlegend": true,
"type": "scatter",
"x": [
0,
0.004,
0.008,
0.01,
0.011,
0.012,
0.013000000000000001,
0.014000000000000002,
0.015000000000000003,
0.016000000000000004,
0.017000000000000005,
0.018000000000000006,
0.019000000000000006,
0.020000000000000007,
0.021000000000000008,
0.02200000000000001,
0.02300000000000001,
0.02400000000000001,
0.025000000000000012,
0.026000000000000013,
0.027200000000000012,
0.028400000000000012,
0.02960000000000001,
0.03080000000000001,
0.03224000000000001,
0.03368000000000001,
0.035120000000000005,
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0.038576000000000006,
0.040304000000000006,
0.04203200000000001,
0.04410560000000001,
0.04617920000000001,
0.04825280000000001,
0.050741120000000015,
0.05322944000000002,
0.05571776000000002,
0.058703744000000016,
0.06168972800000001,
0.06467571200000001,
0.06825889280000001,
0.07184207360000001,
0.07542525440000002,
0.07972507136000001,
0.08402488832,
0.08832470528,
0.093484485632,
0.098644265984
],
"xaxis": "x",
"y": [
74.03098360502058,
71.66199212965992,
70.54134147459037,
70.54977178423886,
70.68333204664258,
70.87858903174889,
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71.82034016403233,
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""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"ReactionKinetics.estimate_rate_constants_simple(t=t_arr_early, A_conc=A_conc_early, B_conc=C_conc_early,\n",
" reactant_name=\"A\", product_name=\"C\")"
]
},
{
"cell_type": "markdown",
"id": "49e2b683-f622-4d9a-a6e8-e687a7b44f34",
"metadata": {},
"source": [
"While the linear fits is a lot better than before - nonetheless trying to fit an elementary reaction to that region leads to a **negative** reverse rate constant! \n",
"It's no surprise that an elementary reaction is NOT a good fit, if one observes what happens to the time evolution of the concentrations. Repeating the earlier plot, but only showing `A` and `C` (i.e. hiding the intermediary `B`):"
]
},
{
"cell_type": "code",
"execution_count": 35,
"id": "41162cab-0e40-4a68-98ab-9909a462ebd8",
"metadata": {},
"outputs": [
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""
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"source": [
"dynamics.plot_history(colors=['darkturquoise', 'green'], range_x=[0, 0.4], vertical_lines_to_add=[0.1],\n",
" chemicals=['A', 'C'], title=\"Changes in concentration for `A <-> C`\")"
]
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"In the zone to the left of the vertical dashed line: \n",
"when the reactant `A` is plentiful, the rate of change (slope of the greeen line) of the product `C` is low - and vice versa. \n",
"Does that look like an elementary reaction in its kinetics? Nope!"
]
},
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"cell_type": "code",
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"## II. And now let's consider the LATE region, when t > 0.1"
]
},
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"id": "2d61a783-e1e5-473a-9fd8-cba5cb842a85",
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"name": "stdout",
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"text": [
"Reaction A <-> C\n",
"Total REACTANT + PRODUCT has a median of 42.74, \n",
" with standard deviation 3.695 (ideally should be zero)\n",
"The sum of the time derivatives of the reactant and the product \n",
" has a median of 16.91 (ideally should be zero)\n",
"Least square fit to model as elementary reaction: C'(t) = kF * A(t) - kR * C(t)\n",
"\n",
"-> ESTIMATED RATE CONSTANTS: kF = 8.149 , kR = -0.08102\n"
]
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""
]
},
"metadata": {},
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}
],
"source": [
"ReactionKinetics.estimate_rate_constants_simple(t=t_arr_late, A_conc=A_conc_late, B_conc=C_conc_late,\n",
" reactant_name=\"A\", product_name=\"C\")"
]
},
{
"cell_type": "markdown",
"id": "222e6b40-5f4f-45eb-bab8-7fa208675f7d",
"metadata": {},
"source": [
"This time we have an adequate linear fit AND meaningful rate constants : kF of about 8 and kR of about 0. Do those numbers sound familiar? A definite resemblance to the kF=8, kR=2 of the SLOWER elementary reaction `A <-> B`! \n",
"\n",
"#### The slower `A <-> B` reaction dominates the kinetics, from about t=0.1 on \n",
"\n",
"Let's see the graph again:"
]
},
{
"cell_type": "code",
"execution_count": 37,
"id": "0c1a9e04-5622-480c-beca-525857353618",
"metadata": {},
"outputs": [
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},
"yaxis": {
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"gridcolor": "white",
"gridwidth": 2,
"linecolor": "white",
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},
"zaxis": {
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"gridcolor": "white",
"gridwidth": 2,
"linecolor": "white",
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}
},
"shapedefaults": {
"line": {
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}
},
"ternary": {
"aaxis": {
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"linecolor": "white",
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},
"baxis": {
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},
"bgcolor": "#E5ECF6",
"caxis": {
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}
},
"title": {
"x": 0.05
},
"xaxis": {
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"gridcolor": "white",
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"title": {
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},
"yaxis": {
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"ticks": "",
"title": {
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},
"zerolinecolor": "white",
"zerolinewidth": 2
}
}
},
"title": {
"text": "Changes in concentration for `A <-> B` and `B <-> C`"
},
"xaxis": {
"anchor": "y",
"domain": [
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"range": [
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"title": {
"text": "SYSTEM TIME"
},
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},
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"autorange": true,
"domain": [
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"range": [
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"title": {
"text": "Concentration"
},
"type": "linear"
}
}
},
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CIAACIAACIAACIAACIAACIGA3AZgXduuD6EAABEAABEAABEAABEAABEAABECg4QnAvGj4SwAAQAAEQAAEQAAEQAAEQAAEQAAEQMBuAjAv7NYH0YEACIAACIAACIAACIAACIAACIBAwxOAedHwlwAAgAAIgAAIgAAIgAAIgAAIgAAIgIDdBGBe2K0PogMBEAABEAABEAABEAABEAABEACBhicA86LhLwEAAAEQAAEQAAEQAAEQAAEQAAEQAAG7CcC8sFsfRAcCIAACIAACIAACIAACIAACIAACDU8A5kXDXwIAAAIgAAIgAAIgAAIgAAIgAAIgAAJ2E4B5Ybc+iA4EQAAEQAAEQAAEQAAEQAAEQAAEGp4AzIuGvwQAAARAAARAAARAAARAAARAAARAAATsJgDzwm59EB0IgAAIgAAIgAAIgAAIgAAIgAAINDwBmBcNfwkAAAiAAAiAAAiAAAiAAAiAAAiAAAjYTQDmhd36IDoQAAEQAAEQAAEQAAEQAAEQAAEQaHgCMC8a/hIAABAAARAAARAAARAAARAAARAAARCwmwDMC7v1QXQgAAIgAAIgAAIgAAIgAAIgAAIg0PAEYF40/CUAACAAAiAAAiAAAiAAAiAAAiAAAiBgNwGYF3brg+hAAARAAARAAARAAARAAARAAARAoOEJwLxo+EsAAEAABEAABEAABEAABEAABEAABEDAbgIwL+zWB9GBAAiAAAiAAAiAAAiAAAiAAAiAQMMTgHnR8JcAAIAACIAACIAACIAACIAACIAACICA3QRgXtitD6IDARAAARAAARAAARAAARAAARAAgYYnAPOi4S8BAAABEAABEAABEAABEAABEAABEAABuwnAvLBbH0QHAiAAAiAAAiAAAiAAAiAAAiAAAg1PAOZFw18CAAACIAACIAACIAACIAACIAACIAACdhOAeWG3PogOBEAABEAABEAABEAABEAABEAABBqeAMyLhr8EAAAEQAAEQAAEQAAEQAAEQAAEQAAE7CYA88JufRAdCIAACIAACIAACIAACIAACIAACDQ8AZgXDX8JAAAIgAAIgAAIgAAIgAAIgAAIgAAI2E0A5oXd+iA6EAABEAABEAABEAABEAABEAABEGh4AjAvGv4SAAAQAAEQAAEQAAEQAAEQAAEQAAEQsJsAzAu79UF0IAACIAACIAACIAACIAACIAACINDwBGBeNPwlAAAgAAIgAAIgAAIgAAIgAAIgAAIgYDcBmBd264PoQAAEQAAEQAAEQAAEQAAEQAAEQKDhCcC8aPhLAABAAARAAARAAARAAARAAARAAARAwG4CMC/s1gfRgQAIgAAIgAAIgAAIgAAIgAAIgEDDE4B50fCXAACAAAiAAAiAAAiAAAiAAAiAAAiAgN0EYF7YrQ+iAwEQAAEQAAEQAAEQAAEQAAEQAIGGJwDzouEvAQAAARAAARAAARAAARAAARAAARAAAbsJwLywWx9EBwIgAAIgAAIgAAIgAAIgAAIgAAINTwDmRcNfAgAAAiAAAiAAAiAAAiAAAiAAAiAAAnYTgHlhtz6IDgRAAARAAARAAARAAARAAARAAAQangDMi4a/BAAABEAABEAABEAABEAABEAABEAABOwmAPPCbn0QHQiAAAiAAAiAAAiAAAiAAAiAAAg0PAGYFw1/CQAACIAACIAACIAACIAACIAACIAACNhNAOaF3fogOhAAARAAARAAARAAARAAARAAARBoeAIwLzRcAsfPTGtoBU2YJNDb2SK7G5/OmuwWfWkgAO00QEypCWiXEngN3UI7DRBTagLapQReQ7fQTgPElJqAdimB19TthpWdmlpCM7oJwLzQQBTmhQaIhpvAh4ph4Bq7g3YaYRpuCtoZBq6xO2inEabhpqCdYeAau4N2GmEabgraGQauuTuYF5qBamwO5oUGmDAvNEA03AQ+VAwD19gdtNMI03BT0M4wcI3dQTuNMA03Be0MA9fYHbTTCNNwU9DOMHDN3cG80AxUY3MwLzTAhHmhAaLhJvChYhi4xu5e3P9z2dqlu6/T2CqaMkEA950Jysn0Ae2S4WqiVWhngnIyfUC7ZLiaaBXamaCcXB8wL5JjG7dlmBdxCdLxMC80QDTcBD5UDAPX2B3MC40wDTeF+84wcI3dQTuNMA03Be0MA9fYHbTTCNNwU9DOMHDN3cG80AxUY3MwLzTAhHmhAaLhJvChYhi4xu5gXmiEabgp3HeGgWvsDtpphGm4KWhnGLjG7qCdRpiGm4J2hoFr7g7mhWagGpuDeaEBJswLDRANN4EPFcPANXYH7TTCNNwUtDMMXGN30E4jTMNNQTvDwDV2B+00wjTcFLQzDFxzdzAvNAPV2BzMCw0wYV5ogGi4CXyoGAausTtopxGm4aagnWHgGruDdhphGm4K2hkGrrE7aKcRpuGmoJ1h4Jq7S9O8uO2OL4mVK/rEt772ec1nlXxzBw8dFp/47FfEQ/d9WezcvjWRDmFexMT6v7x3UpybbRb/sqsnZks43CQBfKiYpK23L2inl6fJ1qCdSdp6+4J2enmabA3amaStty9op5enydagnUna+vtK0rz49O//qXjmuUMFQa8Y6BVPPnKv3JaGefHI40+JL/3JN8U9X7hL3H7LDZGBwryIjM7cgU37X5CdfbCjS/zb/hXimvZOc52jp8gE8KESGV3qB6LmReoSRA4A911kdKkfCO1SlyByANAuMrrUD4R2qUsQOQBoFxmdFQcmZV7suOkOETQq1MmyobF21aD44z/8nVTMC13QYV7oIplgO395ekh85fgJcSaXk738enef+D0yMba0tCbYK5qOSwAfKnEJpnc8zIv02MftGfddXILpHQ/t0mMft2doF5dgesdDu/TYx+0Z2sUlmO7xSZgXbFC8fvjdfIZFuTNUmRf8vsrQKGd4BDM4gkM1brz9bnHD1TvFU3sOiuGRcdnVZz51qzh34xqZYaEWdUwp06E4Q4SPv/vOj4pSmSMvPfGgbBLmRbrXbeje3xiaFH8xOiy+PnY2f8zn+lZQJsag6GpqDt0OdjRHAB8q5ljr7gnmhW6i5trDfWeOte6eoJ1uoubag3bmWOvuCdrpJmquPWhnjnUSPSVhXnDWxa0ffr/Mrqi0sHnxxtvHpNnAZgEvbEZcuPWcfB0MNhDODI+J7z94j3z/3ge+J+7/9qNCmQi8P5sWypxQ7xcPT+FjuY1i06HYaOH3/+z/+hvZP7/37/7HX8/XtOB4y7WThDaoeaGBqirY+XZ2TvzF2Ih4eGJUtrqyOSOHktzZO6ChFzShkwA+VHTSNNsWtDPLW2dv0E4nTbNtQTuzvHX2Bu100jTbFrQzy1tnb9BOJ03zbek2L5Q5EKamRKmaF1/8o2+Il187UtJoUHTYsPjYRz4kDQ+VeaGMklIZEdwmZ2ZwrY3g+9weF90ME6syTh5+7MfL2kHBTvPXbegei2cb2TM7TSbGsHhiekq2sb2tXfzb3kHxke7e0G1ix2QJ4EMlWb5Jtg7tkqSbbNvQLlm+SbYO7ZKkm2zb0C5Zvkm2Du2SpJts29AuWb5Jt26zeaGKa5ZioLI1ypkXQUOCszFKmQ5vHjkuh5aoLI5S/ajMjuB7vD+GjSR9ZWpqv9xUqf99akL8+dgZcWhuTvaEop6agGtoBh8qGiCm1AS0Swm8hm6hnQaIKTUB7VICr6FbaKcBYkpNQLuUwGvoFtppgJhiE7rNCz6VWoaNFE+VGsy8UOZFNXOBa14UZ17oMC/4PK65Ynt+CEtwyArMixQv2lq6LmdeqDYeGB+hmhhnUNSzFqgJ74sPlYQBJ9g8al4kCDfhpnHfJQw4weahXYJwE24a2iUMOMHmoV2CcBNuGtolDDjh5pMwL6oV7GSDotxsI6WGjVQa1hEn84LRlhs2Uso4gXmR8MWYRPPVzAvuc2oxJ/5y9Ky4l4aTqIWLev5u34DoptoYWMwSwIeKWd46e4N5oZOm2bZw35nlrbM3aKeTptm2oJ1Z3jp7g3Y6aZptC9qZ5a27tyTMC46x1FSpyhBQxTyr1bzgdtSMH8HsCzY4rrniEnH7LTeUrXkRJvOCa1VwDMMjY/mZUVTBTi7UWWxs8DnxgmEjuq/CBNsLY16o7o8szIs/HxkWD0+OyU1eUc+VVNSzP8EI0XQxAXyouHtNwLxwVzvcd9DOXQLuRo77Dtq5S8DdyHHfuasdR56UeRE0HoKEgqZCGPOiXDvB2UaiDhtRhTbVrCcqThUjmySP/vDpfPhcZ0PNdIJhI45c97WYF+qU9sz4RT1nUNQzDZnxoZIGdT19Qjs9HNNoBdqlQV1Pn9BOD8c0WoF2aVDX0ye008MxjVagXRrU9fWZpHmhL8rGbAlTpWrQPYp5obr975Pj4s/Hh1HUU4MOtTSBD5VaaNm1L7SzS49aooF2tdCya19oZ5cetUQD7WqhZde+0M4uPWqJBtrVQsu+fWFe2KeJigjmhQZt4pgXqvtvjY/S9KpnxNDCgtz069194vf6V4gtLa0aIkQTxQTwoeLuNQHtoJ27BNyNHPcdtHOXgLuR476Ddu4ScDtymBf26gfzQoM2OswLDmOainr+RcminoNU1LNZQ6RoQhHAFwJ3rwXUvHBXO9x30M5dAu5GjvsO2rlLwN3Icd+5qx1HDvPCXv1gXmjQRpd5oUI5kqWinqOFRT1/l2YmuYtmJsGihwA+VPRwTKMVmBdpUNfTJ+47PRzTaAXapUFdT5/QTg/HNFqBdmlQ19MntNPDMa1WYF6kRb56vzAvqjOquodu80J1WFzU8+LWNvF7ZGJ8pLu3akzYoTIBfKi4e4XAvHBXO9x30M5dAu5GjvsO2rlLwN3Icd+5qx1HDvPCXv1gXmjQJinzQoX2d1MT4s+oHsahuTm56YaOLvHZvkFxE62xRCOAD5Vo3Gw4CtrZoEK0GKBdNG42HAXtbFAhWgzQLho3G46CdjaoEC0GaBeNmy1HwbywRYnlccC80KBN0uaFCvFb4yNU1HM4X9TzFzq7xKd7BsWHaI2lNgL4UKmNl017Qzub1KgtFmhXGy+b9oZ2NqlRWyzQrjZeNu0N7WxSo7ZYoF1tvGzbG+aFbYosxQPzQoM2pswLDnVucVHcRwbGfWRkjOdyMvrr2jvFp3sHxK909Wg4m8ZoAh8q7uoM7aCduwTcjRz3HbRzl4C7keO+g3buEnA7cpgX9uoH80KDNibNCxXuRG5B8PSqD5CJMUTPebm8rV2aGL9G06xiqUwAXwjcvUJQ88Jd7XDfQTt3CbgbOe47aOcuAXcjx33nrnYcOcwLe/WDeaFBmzTMCxX2AmViSBNjYkS8Q7OU8HJxWxuZGIPiN2BilFUXHyoaLvyUmoB5kRJ4Dd3ivtMAMaUmoF1K4DV0C+00QEypCWiXEngN3UI7DRBTbKIRzYsbb79bEn/ykXtTJF+9a5gX1RlV3SNN8yIY3P8zOSa+OXZWvD7vFfbc3NIqMzHupEdT1bNorB3woeKu3jAv3NUO9x20c5eAu5HjvoN27hJwN3Lcd+5qx5E3mnnxyONPib9+6AdieGRM/MFnPi5uv+UGawWEeaFBGlvMC3Uqf0smBg8neWFuVm5ak8lQYc8BcRfNUNLZBBuDmeBDRcOFn1IT0C4l8Bq6hXYaIKbUBLRLCbyGbqGdBogpNQHtUgKvoVtopwFiik00mnnx6d//U7F7x4Vi/0uvS+rf+trnU6RfuWuYFxqksc28UKfEU6yyifHM7LTc1NvULO4kA+NOMjJWZJo1nLm7TeBDBdq5S8DdyHHfQTt3CbgbOe47aOcuAXcjx33nrnYceVLmxdH5eXFgyvtdZnLZTCUFLuvsKNvljpvuEA/d92Xx5pHj4qv3f9fqoSMwLzRcObaaF+rU/mlmSg4n+QmteWmh7As2MHg4ycaWFg0E3GsCHyruaaYihnbQzl0C7kaO+w7auUvA3chx30E7dwm4HXlS5sWTE5PiA6+/aRzOjT3d4qcXnuMu990AACAASURBVF+yXzVk5PsP3iPfZyPjni/cZe3QEZgXGi4f280LdYpPk3nBmRiPT0/mz/o3e/rJxOgXF7S2ayDhThP4QuCOVsWRouaFu9rhvoN27hJwN3Lcd9DOXQLuRo77zl3tOPKkzAvOvPjcO8eMw9nU2iq+fu7Gkv2qISN33/lR+T6/5sXWoSMwLzRcPq6YF+pU98/OSBPj/50az5/9r9PMJHf1DYhLG8TEwIeKhgs/pSZgXqQEXkO3uO80QEypCWiXEngN3UI7DRBTagLapQReQ7fQTgPEFJtIyrxI8ZTKds2ZFqWWl5540MZwBcwLDbK4Zl6oU36FZiV5YOKs+K/jY3kKH+nupSEl/eJ97Z0ayNjbBD5U7NWmWmQwL6oRsvd93Hf2alMtMmhXjZC970M7e7WpFhm0q0bI3vehnb3ahImsUcwLHjJSqsaFzUNHYF6EuYKr7OOqeaFO6+0smRiUifGt8dH8md7c2S2Hk3ygo1sDIfuawIeKfZqEjQjahSVl337Qzj5NwkYE7cKSsm8/aGefJmEjgnZhSdm3H7SzT5NaImoU8+K2O74kVq7oWzZExOahIzAvAlfyvQ98T9z/7UeXFSlhYd942xufdMGWjUIVNFGHum5eqPM4uZAlE2NUGhkzizm5+fr2Lmli/FJXTy33vPX74kPFeonKBgjtoJ27BNyNHPcdtHOXgLuR476Ddu4ScDvyRjEvXFQJ5oWvGhsXDz/2YzE8Ml5gXrDzdGZ4LG9YlHKo6sW8UBfwWC4nDYwHJkbE2YUFuflKGkbCJsZtXb0uXufLYsYXAndlhHbQzl0C7kaO+w7auUvA3chx30E7dwm4HTnMC3v1g3lB2ijj4slH7l02PcyNt98t/uAzH89PF1NqbFC9mRfqcp2j7AuVifEeZWXwcgkV9PxNMjE+RXUxXF7whcBd9VDzwl3tcN9BO3cJuBs57jto5y4BdyPHfeeudhw5zAt79Wt48yJoXLBMwQIlBw8dFp/47FfEQ/d9WezcvlWqWGrbybMz9iqsKbK/HhsR36THm1Qfg5fVmYz4LZqd5JPd/WJjS4umXsw1093hxTw545kyWNwh8MKzP5fBXnblde4EjUglAdx37l4I0A7auUvA3chx30E7dwmkF/nU/KQYnx8XE3NjYmx2TEzOTYjp7BQ9psX0PK+nxFTgeX77grfP1Nyk+Mmn/zG9E0DPFQk0tHlRbFwwqSjmxUJusWEus/8yMiL+z6Fh8fTkZP6cPz4wID69clD8ix536mI0N3nhN5B0dXONPvnTn8hzufEDH6ybc2qUE8F9567S0A7auUvA3chx30E7dwnUHvnswqwYnRmVhsM4PcbIfBid9V7zg98bnx33nqvtvI/c7u9Pz7O5+H+YXPwPjfPbrnal0j3CuHnBwzC4rkSpxfR8slzP4pnnDpWM5TOfulXc9P7LQ2Ve1OuwkUqX5lMzU+I7E2PikaklLXe2tYtPUCbGJ3v7RLvw3YF0r++yvSOdz1JhQoQF7UJAsnQXaGepMCHCgnYhIFm6C7SzVJgQYUG7EJAs3aWRtGOzYGJuXIyTkSAf82Py9RgZDAXb5fu0H22X6zlvrTIk5nKzWtTsbOkSve19oreNHq29orutV3S2dIrO1i5a84Oe81q+pueZLtHFzwPvf/zyX9USCxrRT8CoeVFuOhb9pxW9xeJ5bRu55kUYisez8+KhyTFpZBz362J0NTWLT/b0iU/Qg2tk2Lg00oeKjfzjxATt4tBL91holy7/OL1Duzj00j0W2qXLP07v0C4OvXSPdVG70dkRMTIzLEby67OU4eBtOztLz2e853LbLG2bOSvNCh6moWNpy7RLs6GHTIc+Mh943UvGQ19bPz3v9cwI35SQr1sLX/N+fHxLpjV2OKh5ERthYg0YNS+KjYHEzipGw8UxNuJsI1HxcRbGQxPj4smZpf/EburoIiOjX/xLy6ZadfFDJaou9XYctHNXUWgH7dwl4G7kuO+gnbsE3I08rftudmFGmgtnp89Kg0GZD3IbGRDSfGATgt7zTIql/RYXow2VyDRlpLnQ1x4wGdhYCJgNbEL0srlA6wJzgsyGXjqOt7dnOqwRHOaFNVIsCwTmRRGSUgYLZ4y88fYxuecFWzbmp01VhzbisJFKl/TB+VnxnfFRysgYF7M0Ywkvm1paaUhJLxkZA2INFftMe0nrQyXt866H/jHbiLsq4r6Ddu4ScDdy3HfQzl0C7kYe977jIRcjbDbwY1plO/ivpeHAmRBsRtBjzl/Tcy5GGXVh82GgfdB7dK4Q/e0D8vlgx9LzfvkebWv3tvV3DIiulu6oXVp7HMwLa6URRs0LNgFuvvFKcfedH7WXSITIYF6UhjZJxsV3xsfEQ1Oj4tCcN0sJL/+qm4aUkJFxHWVlpLXE/VBJK270KwTMC3evAtx30M5dAu5GjvsO2rlLwN3I+b6bW5gT74ycpuyHJXOBn/Nwi9E5f4gGP1fb/OEYnCWxkFuIdPKtmTYyFshgCBoOHWxAeKaENB/oeX8bbSMTQj3ndTMN+8biEYB5Ye+VYNS8eOTxp8RX7/+uePKRe+0lEiEymBfVof14mgp8To6Kv5uayO98ORX45EwMNjJamswW+MSXueqa2boHzAtblakeF+676oxs3QPa2apM9bigXXVGtu4B7exQhus6cIZD3nDgIRm++aDqP+SHavCwDH6PDAmeojPqwkMu2FAIGg4DnAlBpkTQcGBToj+/34DobnVn5r+obEwc10jmRanJNExPolGLpkbNCx6SUWmxGVSluGFehL/kjvgFPh+iYSWnfFe5r7lZFvf8JGVkbDNU4BNfCMJrZtue0M42RcLHA+3Cs7JtT2hnmyLh44F24VnZtie006dIdmG+yHCgDIjAcIx8doSfJbFUvPJs5Kk3W6lwZH9b0HAYkEMweNiF2s5DL+SwDN5PZkJ4z1uaW/SdPFqqmUCjmRcf+8iH8iMjius91gwv4QOMmhcJn0tqzcO8iIb+b2mWEi7w+fPZpfF5N3d2ywKft9A6yQVfCJKkm2zb0C5Zvkm2Du2SpJts29AuWb5Jtg7tkqSbbNvQbjlfnnrTy3YIDLdQBSjVEAz5Hu3D5oTMkPBmxYi6cDFKVf9BZj74tSBkxoN80DZpUiwNyzhnYJUsWDk+nY3aLY5LkUAjmxf3PvA98fBjP7Z2pATMCw03BsyLeBD3z814BT5ptpIFv9Lx1ta2fIHPFZSZoXvBFwLdRM21B+3MsdbdE7TTTdRce9DOHGvdPUE73UTNtdcI2g1NnxZnpofEmalT3npmSMhtU7zdf4+2y7oQ9JinOhJRFp4RI2gu5AtTBoZd5IdlyNoQnAnhmRJcR6LWpRG0q5WJS/snZl5MHRXi7AHzKLo3CzFwWcl+edhIMPOCa1Resm2z+OM//B3zcYbo0bh5wXUvvvQn3ywI7Z4v3CVuv+WGEOHauQvMCz26jOZyNEPJmPjOxKh4fX7pw+kTlInBdTHe196ppyNqBR8q2lAabwg1L4wj19Yh7jttKI03BO2MI9fWIbTThtJ4Qy5qd5ZqPgyxEUEmhDQjfCNCGhJqm29U8LZaF57ZQpoQNMvFAM14UWA40Lb8EIxAFgRv4ywIk4uL2pnkY3tfiZkXp54U4kcfMH/6a24U4uafljUvhkfGC9679cPvh3nBRDgN5f5vPyoeuu/LYuf2rRLSwUOHxSc++xXxmU/d6uwsJDAv9N+D/zA9KY2MxwMFPt/X3iGHlHycamPEXfChEpdgesfDvEiPfdyecd/FJZje8dAuPfZxe4Z2cQmmd7wN2o3SkIwzM14GREGWBBsRU/42fl9mSgxRBm1ts2Ss6FwpVnWuESs7VokVXavo+Wqxkh7eepV8jM+OicvXXSWzIdozHekJUkPPNmhXQ7jYtYhAYuYFZ17s/Zx53t2bhLjq62XNi2DmBe/EdSpt/W1uNPOiOC1FEbR9bE21KwzmRTVC0d8/TAU+ORODjYzhBe8DcWVzRvwaFfjkKVd30PCSKAs+VKJQs+MYmBd26BAlCtx3UajZcQy0s0OHKFFAuyjU7DgmKe14Gs7T0yfFyckT4tTUCW89+R49P0lrek3beH16+lTNwzQ4K2JlBxkPvhGxgkyJVV1kTvhGhDQl+P1uXq+q2+k5k9LOjiuz/qNIzLywEF2p3+c2Dx0xal6wi1NqiIgaSoLZRiy8oi0KSZkY+2Zn8lFdS0NJfo1MjH/V0yvaRPjpVvGhYpGwNYYC7WoEZtHu0M4iMWoMBdrVCMyi3aGdRWLUGEqt2s1kpz3jYYIeZE6wAZE3J6bInJikbfT+aRq2EXbh4RYyE6LLMxuk+UDPPVPC39btZU7wo4Vm2MCC4cmuXwONbF7YPirCqHmBzAvXb2U74n+OzAueqeS/TY6LicWcDIqNi1upLsZtXb3iFzq7qgZa6xeCqg1iB2MEoJ0x1No7gnbakRprENoZQ629I2inHamxBpV2x0eHKTuCMyP8LAmZGVGYJXGSzImx2dFQsTU1NYnVnWvF2u51Yk3XOrG2Z51YzWt6rKFtvF7dRe/T9rbm9lBtYqdCArjv3L4iGs28KK55YeuQEb6qjJoXqHnh9o1sW/RZmpmEDYy/pVlKnp5Zmm51faZF3NrVQ49ecTnVySi14EPFNjXDxwPtwrOybU9oZ5si4eOBduFZ2bYntLNNkaV4uIaElx3BRsR7+eEanD1xmradpvUJen96fuk7TqWzacu0S0NCGg8FRoRnUEijgt8n44INDCzJEcB9lxxbEy03knlhgqfOPoyaFxw4ZhvRKR/aUgS4NsajZGQ8SkbGq4GZSi5tbaeMDM/IOLdlKZURHyruXjuoeeGudrjvoJ27BNyNHPedWe24YGWwbkTh0A2vloQa0pHNZUMF19Pa62VEKGPCz5jgbWvIiFjTvV6+x7NqYLGDAO47O3SIGgXMi6jkkj/OuHmR/CmZ7wEFO80zr9Tj3tlpMjEmpJkxREWp1PLBjm4yMehBw0vWdnmFPsenw31xsOsMGzsamBfu6o8vc9DOXQLuRo77To9209mpQJbEUlFLz4igrAmuM0GZErVM/8lmgzd0Y700J9ZQxoTKjuDX5w1uFOsoY2JxQd9U8XpooJVqBHDfVSNk9/swL+zVB+aFBm1gXmiAmFATj0+ziTEhHqN1joaZ8NJCqZIf7e0Vv9bbL25wZMqthPA42SzMCydlk0Hjyxy0c5eAu5Hjvqus3ezCjHhv4pg4PvHu0uwbvhGxNPtGDfUkqAZXgREhh2uQOcHGhF9PQr3PwzwqLdAO9527BNyOHOaFvfoZMS/UXLH3f/vRiiQw24i9F4rrkY1TBgZnYzw2NSmenJnMn84aqo9xmz+s5Io2N+YOd12LuPHjy1xcgukdD+3SYx+3Z2gXl2B6xzeydtncvDhGpoQyJ+R6vPB12EwJLlwp60bkh2osFbjkbAk1rIOf61oaWTtdDNNqB9qlRV5PvzAv9HBMohUj5kUSgdvUJjIvbFKjeixHsnPi76n41ffGxsXBwLSr29uoPoYs9NkjtrR4w0qw2EcAXwjs0yRsRNAuLCn79oN29mkSNqJ61W6B/ijx3qRvRvBamRQBc4IzJ6otPLXnhu6NYkPPOTSEg4dveEM3lmbd8EyKwU7z9STqVbtqmtTD+9DObRVhXtirn1HzgjMw7vnCXeL2W24oIMKzkDz82I/Fk4/cay+pCpHBvHBPNvWh8tPRCfF9KvLJQ0tOLizVv7i+vUsW+uSpV3ubm907wTqOGF8I3BUX2kE7dwm4G7mr911xtsTxIoPixOTxqqI0NzWL9T2eMVG83sDbe8+RRoWti6va2crTZFzQziRt/X3BvNDPVFeLVpgXagYSDBvRJSvaqUag1IfKj6Yn5Wwl36fhJTwNq1rUtKu/TBkZWNIngJoX6WsQNQJ8mYtKLv3joF36GkSNwEbtJubHxTujR8TRsbfFO+NHvKEcRebEolj6HC537mxIBE2JjUUmBb/n8mKjdi7zNBk7tDNJW39fMC/0M9XVohXmxRf/6BviqT0HkXmhS1W0U5VApQ+V6cVcftrVJ2am822tbM7kp129uh2Vv6tCTmgHmBcJgTXQLL7MGYCcUBfQLiGwBppNQ7vswrw4Ok7GxNgRaU4cHX176TU9PzMzVPXMOSOCMyNkhkSJzAk2Jjizop6XNLSrZ54mzw3amaStvy+YF/qZ6moxcfNCZVVUC7jUcJJqx9jyPoaN2KJE+DjCfqi8m52X2RiPUTbGC3Oz+Q62tXJ9DG/a1fNRHyM8eA17wrzQADGlJsLedymFh24rEIB27l4eSWnHNSZk5gQ9jrJJIR/8/G1Zf6LS0tnSJc7t2yzO7d0sNvVvWT6kg2pQcC2KRl+S0q7RuZo4f2hngnJyfcC8SI5t3JYTNy+CAZareRH3JNI+HuZF2grU3n+UD5UX5mfzGRnHskv1Ma6j+hgfISPjV8jIWE3ZGViSJRBFu2QjQuthCUC7sKTs2w/a2adJ2IiiasfZEe9wxoQ/tIOzJ1QWxTsTRwRnV5Rbmmi60E19W8S5ZExIg4KNCn7tmxU215kIy9XEflG1MxEb+qhMANq5fYU0onlx4+13i+GR8QLhbCzpYNS8cPsyLh89zAv3lI37ofLj6SmZkcGPmUB9jJs6u8Qvd/aKW8jMWAUjI5ELI652iQSFRkMRgHahMFm5E7SzUpZQQZXTbmKO6k5QtoQyJ1TWBBsUXI+C61JUWnhmDs6e2NSrTIpNnmHhmxRNTU2h4sNO5QngvnP36oB27mrHkTeSeXHw0GHxic9+Rdz64feLP/7D38kLx2UdeAlus0FVmBcaVIB5oQGi4SZ0fajMk3HBs5X8HQ0r+SEV/AwuHyIj4xaareSWThgZOuXVpZ3OmNBWOALQLhwnG/eCdjaqUjkmVXfizOy74m3Kmnh96LCXOcGZFCHqTvS3D0gzgh/n+BkT3nMyKSijoiOD2k9JXxW475ImnFz70C45tiZabiTz4rY7viRWrugT3/ra502gjd2HUfNCOTvlorYxNSUMYZgXYSjZtU8SHypjuZz4ARkZPyAT4x+KjIzrO7rEL3Z0i5u7usR5qJER62JAzYtY+FI9OIn7LtUTaqDOoZ2dYgfrTnhZFF7dCTYpjo2/UzFoNh/YhJBmBJsU/LzHq0HBr9m8wJIuAdx36fKP0zu0i0Mv/WOTMi+Ojh4VB04cMH6Cmwc2i8vWXlayX9fKOhg1L3gszQ1X7xTXXHGJ+Or9383PLsKOz803XinuvvOjxsXU0SHMCx0UzbaR9IfKaMDI4ClYg8tlbe1kYvSIm8nM2EXPsdRGAOZFbbxs2jvp+86mc623WKBdOoqquhPSmKDZO7juxLtUb+KoP81oNleh7gQN2+AaE+cNnCc2kyGxrutcWYNCDvOg4R487AOL3QRw39mtT6XooJ272nHkSZkXTx55UnzgwQ8Yh3PjphvFT3/7p8v6VYkFD933ZbFz+1bjcUXp0Kh5oZyd8zdvEP/6i3+WNy94RpKgmRHlRNI8BuZFmvSj9W3yQ2WCpl5lA+NHVCfjH2h4Cb9WyxbKwvhFysZgI+MGys7AUp0AzIvqjGzdw+R9ZysDV+OCdskop+pOqOEc7wamFX137KgYnxur2DEXvuRMCTYpuNaELIzJz/3sCS6cCe2S0c5Eq9DOBOVk+oB2yXA11WpS5gVnXnzu//ucqdPI97Opf5P4+q98vWS/yLyoIEcQDj9Xw0TUdKoYNmL8Wm7YDtP8UPmnGc/E+BGtj9NUrGpZkWkmE6NH/CLVyOBHK4qdlbw+09SuYW8YTScO7TSBTKEZaBcdOmdPvHX2DXF45HXx1uibVH/Cqz3BdSeGpk9XbLi/g+pO+JkS5/rrJbNis+ApR6st0K4aIXvfh3b2alMtMmhXjZDd7ydlXth41qh5UUEVhnPJts2yamnwOVczfWrPwXwmho3CVooJmReuKSas+UvU3tlpmZHxo5kJ8crcXB5kCxkXv8h1Mnh4CRkZKzFzSZ4NvhC4d7+piKEdtHOXQOXIeWaOt0be9AyKkTe856OeYTEyc7bswR0tnX7WhFdrQmVQeNOLbhEDHYOxkeG+i40wtQagXWroY3cM7WIjTLWBRjIvVBJB8Wwj9z7wPXH85BBmGwleiZx9oRaXxtoU300wL1L9/yVS5zZ+qLB5wSYGmxlsagQXr+CnZ2ZsaWmNdM71cpCN2tUL26TPA9olTTi59qGdEFxf4jAZE/x4i4wJmU1BmRRsUJycfK8s/L72frG1/wKqPeE9tvRvzc/iYaLuBLRL7r5IumVolzTh5NqHdsmxNdFyI5kXimfwdzlvWzHQa2VigdGaFyYutjT6gHmRBvV4fdr+ocLDSXhYCQ8v4WEmwUUW/OzkjIwuKvjZEQ+Eg0ej5oWDovkh237fuUs2+cgbSbsjNKzjMGVOSIPCNyoOk1FxZOytsqDbMx1kTJwvtrJBwUZF//nivMEL6PWFYk3X2uQFqtBDI2mXKugEOod2CUA11CS0MwQ6oW4a0bxICKX2Zo2aF64VBAlLG+ZFWFL27OfSh8p4bsEbWiKLfk4uL/hJJgYPLWmUgp8wL+y5j2qNxKX7rtZzq/f96027ExPHpTnBmROcQSGf+1kVlWbwkMaEMimkUcGGxYVy9g5bl3rTzlbOScQF7ZKgaqZNaGeGc1K9wLxIimz8dmFexGcoYF5ogGi4CZc/VP6RTYwZb/aSYMFProvhTcFKw0vquOAnzAvDN4vG7ly+7zRicLIpF7VbIOP39eFXxGvDh8TrI6+KN86+mq9HwTUqyi0bes7xhniwMUHZE2xYqIyKjIP1h1zUzsmbJIGgoV0CUA01Ce0MgU6oG5gXCYHV0KxR84KLdN5845Xi7js/qiF0e5qAeWGPFmEjqZcPlb2zM15GRlHBz9ZmLvjZLT5IRsZN9Dinjupk1It2Ya/VetoP2rmrps3a5Wj66dfIpHidTIrXzvpmBT+nbYv0r9SysnOVb1CwMeFlTyjDoqu1212hSkRus3Z1BTqBk4F2CUA11CS0MwQ6oW5gXiQEVkOzRs2Lg4cOi3/9xT+zsvhHHJYwL+LQS+fYevxQeWWeCn5Oly74eRnVxriJhpd8oL1TXEdmhstLPWrnsh61xA7taqFl1742aFdsUrxORoU0LMik4PdKLWxKbFtxMT22i/MHt3mFM+kx2LnCLsAJRmODdgmeXl03De3clRfauasdRw7zwl79jJoXxVVMi7G89MSD9pKqEBnMC/dkq/cPlePZLBX6nBRPUFbGEzPTYjrwxX4wk5HZGPz4IA0vWe1YGnS9a+fe3RQ+YmgXnpVte5rUjrMl8pkUfjZFNZOCDQllUlzomxX8mgtpNvpiUrtGZ637/KGdbqLm2oN25lgn0RPMiySo6mnTqHmhJ2T7WoF5YZ8m1SJqtA+VJ6g+xhOzk+In09PitfnZAjxXtHeI69u7xPs7OsX7KTOjpampGr5U30fNi1Txx+q80e67WLAsOzgJ7RYXfZPiLGdPeEM+YFLoFz4J7fRHiRZLEYB27l4X0M5d7ThymBf26mfUvCg328i9D3xPPPzYj50dTgLzwt4LvFxkjfyh8mZ2jjIyyMygrIyfzE6LBfoBoRY2LtjAYCODDQ02NmxbYF7Ypkj4eBr5vgtPyc4942oni2b6xTNlXQoyLPg1F9UstWyhYpnLMikGLxYdLZ12ArI4qrjaWXxqdR8atHNXYmjnrnYwL+zWzgrz4pHHnxJf+pNvCgwbsftiqafo8KHiqTlH6dlPUTbG0zNT4unZKXFgrjAro7+5WVxPw0ukoUFmxkVtbalfBjAvUpcgcgC47yKjS/3AsNotMyl802JhsQaTgoZ7dGRgUugSPax2uvpDO/oIQDt9LE23BO1ME9fbHzIv9PLU2ZoV5sUX/+gb4qk9B5F5oVNZtFWRAD5USuM5Q38FfZpqZPyMzQxac5ZGcNmYaRHXU52M6ykj4/1kamyg16YXaGeauL7+oJ0+lqZbKtaOi2Uu1aV4Rbw6/LKXSVHBpLhw8CJZOJMzKi70150tbhcQNq1DlP5w30WhZscx0M4OHaJEAe2iULPnGJgX9mhRHEni5oXKqqiG4J4v3CVuv+WGartZ+T6GjVgpC8wLDbIcWZgXT9MQk6dpSlY2NE4uZAtavZgyMTgjg42M6yk7o48yNZJe8IUgacLJtQ/tkmObVMvKpDgy/qp49cwh8dJpz6TI5gr/L1D9b+7bmh/uAZMiKVVqaxf3XW28bNob2tmkRm2xQLvaeNm2N8wL2xRZiidx8yJ46uVqXtiLJ1xkMC/CcbJpL3yoRFPjJRpW8jTVyfCGmUyLiVzh9IRXBot/kqGRidYNjKcEuNnQJO47G1QoHYNXj4IKZsrimUs1KcqaFP2+STGITAp7VfUiw31nu0Ll44N20M5dAm5HDvPCXv2Mmhf2YogXGcyLePzSOBpfCPRQf4aNDM7MmJuRhkZw4eKfnI2hin/u1lT8EzUv9GiXRiu479KgXtjnG2dfLRjuwYUzuU5F+UyK82iIx8Xi0jU7xMWrtotzu7fJzIqu1u70TwYRhCKA+y4UJit3gnZWyhIqKGgXCpO1O8G8sFYaAfNCgzYwLzRANNwEPlT0A59ZzMlsjJ9RAdCf0/oAGRrBZSBY/JNmM9nW2h4pCJgXkbBZcRDuO3MyLDMpeCrSERruQUPBSi2b+zyToqAmBc3uoUwKaGdOO909QTvdRM21B+3MsdbdE7TTTdRsezAvzPKupTfj5sWNt98thkfGS8aI2UZqkQ77xiGAD5U49MIdO8TFPykr42c0iwkX/zycLfzRdG5Lq6yV8X4u/kl1Mza0hCv+CfMiHH8b98J9p1+Viflx8fLpg+LQmRfFy0O0HqY1vZ7OFmZCqZ439W0RF5IpwSbFRSu35wtndrVUzqSAdvq1M9UitDNFKBWA6AAAIABJREFUWn8/0E4/U1MtQjtTpJPpB+ZFMlx1tGrUvLjtji+JlSv6xLe+9nkdsVvTBjIvrJEidCD4UAmNStuOR8i8+BmZGDy8hA2NUwuFUydy8c/r/eKfPDVrueKf0E6bJMYbgnbxkL8zdsQzKM4cFC+TWXFo6EVxeOT1ko1u6ieTYmApk4LNCs6s6G7tiRQEtIuEzYqDoJ0VMkQKAtpFwmbFQdDOChkiBwHzIjK6xA80al6gYGfieqKDkATwoRISVIK7vTQ/V5CZMUnDToLLVfl6GZ3iOnqeoRoavEC7BEVJuGloFw4wD+14mTIoDpFRwWbFy2RSHBo+KM5ODy9roKW5VVyy8lJxyerLxHZe82PVZWKgYzBcZyH3gnYhQVm4G7SzUJSQIUG7kKAs3A3aWShKDSHBvKgBluFdYV5oAI7MCw0QDTeBDxXDwEN098ycV/zzZzMzVDOjMOW9lYyL6ygr433t7eIDfT3iWqqZkZ0tNDtCdIFdUiaA+265AKemTkqTQg37eJmyKjijotSypmut2L5qJxkUO2nNRoW3NrFAOxOUk+kD2iXD1USr0M4E5WT6gHbJcDXVKswLU6Rr78eoecHDRm6+8Upx950frT1Si4+AeWGxOGVCw4eK3ZpNUxbGz2dnqPgnT8k6JV6gKVrVctOrr8inE5ftJjOjgx6d4n1tHWJFJomJWe3m5Fp0jX7fvXrmkMygYHPi5aEXZEbFicnjJWXkehTbV/gmBWVScEbFup4NqUne6NqlBl5Dx9BOA8SUmoB2KYHX0C200wAxxSZgXqQIv0rXRs2LRx5/Snz1/u+KJx+5114iESKDeREBWsqH4EMlZQFq7P401cfYQzOY7KXsjMn9+8TxbFY8cdHFBa1sp5oZV8vsDDI02jrFOSELgNYYCnaPQaCR7rsXhw6Ig6f2i4Onn5ePl06/IGYXCmfgYZS9bX0yg+KS1WxU7BQ7/GyK9kxHDNL6D20k7fTTS7dFaJcu/zi9Q7s49NI9Ftqlyz9u7zAv4hJM7nij5gXXvKi0YLaR5IRGy4UE8KHi7hXBs43MLy6K0Ut2k6ExJfbSMBM2NXhbcNlMs5lwVsaVZGZcTpkZl7VFm5rVXVL2RV6v912xUcFmxfzC3DIBeDpSOdyDMim4PsUOMiw29221T6gSEdWrdk7AjxkktIsJMMXDoV2K8GN2De1iAkz5cJgXKQtQoXuj5oW9GOJFhsyLePzSOBofKmlQ19NnKe3YttjLmRk01GQPzWayd25GjOYKa2K0NzWTidEujQy5JlNjExkcWMwRqIf7TmZSnOJsiqWsimyucBpgJnr+wDaxc/XlYucaevB69W7R195vDrbmnupBO81InGkO2jkj1bJAoR20c5eA25HDvLBXP5gXGrSBeaEBouEm8IXAMHCN3YXV7sX5WcrKmBbPU72MA/R4nV4XL2szLXkjgw2N3W1dorfZm9UEi34CYbXT33O0FsMaFRcMXrTMqODhIPW0uKZdPbGPey7QLi7B9I6Hdumxj9sztItLMN3jYV6ky79S78bNCy7a+cbbx2RM93zhLnH7LTcIHk5yzRXbxbe+9nl7SVWIDOaFe7LhQ8U9zVTEUbU7u5ATz8/PiOcpQ8MzNGYE19IoXi6m2hm7KDtjN9XN2EWGBoab6LtWomqnL4LyLS0zKoaeFzxlafHSCEZFKUo2a2fi+nC5D2jnrnrQDtq5S8DtyGFe2KufUfOCjYuVK/qkSXHj7XeLP/jMx6V5ce8D3xMPP/ZjZwt5wryw9wIvFxm+ELinmYqYa17wcunu62KfxFvZOWlkPE/DTZ4nM4OfZ4tqZ7SLJrGbamewkbGbhprwGsNNoqG35b7LGxVDgaEf1YyKVd7Qj972+sqoCKukLdqFjRf7LRGAdu5eDdAO2rlLwO3IYV7Yq59R84IzLB6678ti5/atBeYFz0LypT/5pkDBTnsvlHqLDF8I3FVUp3lRTCFHxgUPMZGGBhUB5fUb88sLL/JwE2lktHqGBtfR6G1udheqochN33eLpKc0KiiLQs388SK9zuayy874whUXe0M/yKS4dPWuhjYqSl0OprUzdEk2RDfQzl2ZoR20c5eA25HDvLBXP6PmBWdb/B9//O+WmRdpZl58+vf/VDzz3KG8Qhds2Si+/+A9BYoFh7qUeh+ZF/Ze4OUiwxcC9zRTESdpXpSiMkxDS7xhJtNiP2VosLkxlCsx3KS1jYqAduZraOwkYwNLIYEk7ztpVLBJIQtqehkVFY0KmUnhFdS8lNb1VqNC97WXpHa6Y0V75u47sE6WAO67ZPkm2Tq0S5Ju8m3DvEiecdQejJoXX/yjb4in9hyUw0PUsJHzN28Qn/jsV8StH36/+OM//J2o5xH5OI6D41ELv77h6p35WNjcODM8ljc0gkNf1DEwLyLjT+1AfKikhj52xzZo91Z2noyM6UCWxsyy4SYdanYTzswgI4ONjXNbWmKfv8sN6NJuUfgZFWGMikE/owJGRaxLR5d2sYLAwZEIQLtI2Kw4CNpZIUOkIKBdJGzWHATzwhoplgVi1Lzg3tUQkWAkn/nUreLuOz9qBSU2WF5+7UjerAjW5lDxf/X+7xYYHjAvrJCupiDwoVITLqt2tlE7npSVC4CqzAxvuMny2U3WkXmhjAw1XWsvmRyNskTRLreY87Ip/EyKihkVMCoSu5SiaJdYMGi4JgLQriZcVu0M7aySo6ZgoF1NuKzbGeaFdZLkAzJuXtiLwouMMysu2bZZZl4cPHRYZoWoOh38fqltMC9sV3V5fPhQcU8zFbEr2qnhJvnZTWimk6FSs5sEh5tQ7YydVBC0Xpcw2r009ILYf3KfHPrBwz7YrFhYXD5MZ9uK7XLYx6WrqD4Fhn4kfsmE0S7xINBBJALQLhI2Kw6CdlbIECkIaBcJmzUHwbywRoplgRg1L1R9ieLCnLZMlcpZF4/+8Ol84dCw5sXw+PKCfvZKjsiYQGdbRoKYnlv+owiE7Cbw3J6fyQCvuPp6uwMtEd2bVPzzOaqb8dy0Vz+DH8Wzm3RQ4c8raKgJP3Z2sJnRIS6i6VvrYSm+746Mvi32n9gnzYr9J54Vz9Hz6ezUslO9aOV2sWvNbnHZWnqQUbGL1j2tvfWAxJlzwP+Zzki1LFBoB+3cJeBu5Ljv3NWOI1/RWx/fu9xWoXT0Rs0LHoLxsY98aNkQkTQLdiosHMP93360apZFKUNjBj+Anbs3WjJNMubswqJzsTd6wD//2ZMSwXXX3+g8igUqMvns9IzYNzMt9k1Nyeev0ZCT4qWLDI3LOtrFrs5OmZmxq6NTXNbZIdqavOvYhWVk+qzYf+pZse/4XrH32F6x77194r2J48tCv2DwQnHlhqvEleuvFJevvUJcvo6mJ22DUZG2xvg/M20FovcP7aKzS/tIaJe2AtH7h3bR2dlwZIf/R04bYkEMhQSMmhecYXHPF+4St99yQ0EUaU+VWpxxEQwONS/q85ZBOp+7upqebcQ0qeGFnHiehpgcoIKgL83NiZeodsZRKhBaarmECoFeQmbGpbTeQdkZOyhLo9+CKVt55o8DZFQ8z4+Tz8rnrw0vzeqkzmVV52rKoiCTYg0bFVfJ5ys7VplGjv5CEMD/mSEgWboLtLNUmBBhQbsQkCzdBdpZKkzIsDBsJCSoFHYzal7YmHnBNS54KZ4eVWmB2UZSuCoNdIkPFQOQE+qiEbU7m8uRkTEjjYyXydB4kcyNV2hdatnc0iouJUNjBxsaNPRkB9XUWJ9JdpaTwyOv+0bFvrxZkc1lC8JrzbSJK9ddJa5Yf5W4ZMVuaVicN3BBQlcJmtVNoBHvO90M02oP2qVFPn6/0C4+w7RagHZpkdfTL8wLPRyTaMWoeVFpaEYaM46oISClwAYzRNjgeOPtY3K3C7ZsXGZ0oGBnEpdmsm3iQyVZvkm2Du08urM0CwdnZrxMdTRe9I2Nl2jIySxlPRQva8i84MyMbS3t4iIyM/ixjV53RZjpZGTmrHj2xDM0BGSfOEC1Kji7Ynj6zLI+L6KCmpeve5/YtfoKqlfBmRVXCmiX5J2RbNvQLlm+SbYO7ZKkm2zb0C5Zvkm2Du2SpJt82zAvkmcctQej5gUHWWqq1FJDSaKeUBrHwbxIg3q8PvGhEo9fmkdDu8r0XyEzQ2Zp+ENO+DlnbpRatlCWhjQzuChoKz0nc2MbrTOBWhpvnH1VPPveM+K5k3vEvpPPiFeGXlrW1PqejTKTIjgEpLetb9l+0C7NOyde39AuHr80j4Z2adKP1ze0i8cvzaOhXZr04/cN8yI+w6RaMG5eJHUiabYL8yJN+tH6xodKNG42HFXvNS+SYMw1M9jUeIUyM16j9as0/OQ12lY804mgoR5NIwfEqtGXRebsC2J86DkxOTNUEFJLc6u4at014op1V+cNi3N6N4UKG/ddKExW7gTtrJQlVFDQLhQmK3eCdlbKEiooaBcKk7U7wbywVhoB80KDNjAvNEA03AQ+VAwD19gdzAt9MH82ckT86NjPxLMn94rDp/aKs0P7qfGiYScda2jOsF2iZfAysWX1VWL3+msoU4OHn1CWBmVunEOPsAvuu7Ck7NsP2tmnSdiIoF1YUvbtB+3s0yRsRNAuLCk794N5YacuHJVx84KLdg6PjJck8tITD9pLqkJkMC/ckw0fKu5ppiKGeRFduxdPH5DDP3gYyD6qW/H26JvLGtuxapc4j4aADKzaLRYHd4kTHRtktsY7ZWY86aPZTeTQkxaqo0GGxsXt3np1c2ZZ27jvomuX9pHQLm0FovcP7aKzS/tIaJe2AtH7h3bR2dlwJMwLG1QoHYNR84ILX65c0Se+9bXP20skQmQwLyJAS/kQfKikLECM7qFdOHjjc2PiuRNkVJBJ4T32CN4WXLguxZXrrxZXrL2GZgLhx9WiVK0KPmac6ma8ykNOsvSg4Sf8/DUafnJqYaFkQFwkdJsqDkpmBtfUuLKvi6ZyzYjx6cKZSMKdEfZKkwDuuzTpx+sb2sXjl+bR0C5N+vH6hnbx+KV9NMyLtBUo379R82LHTXcI14tzlkIJ88LeC7xcZPhQcU8zFTG0K60dZ1GwQSGNCsqseHHowLIdt/SfLw0KaVTQ8I9LKcsi7nKazAs2MaSx4dfT4PVYmSKh57aSqSFnPfEMDc7SuIhmPmkXTXFDwfEJEsB9lyDchJuGdgkDTrB5aJcg3ISbhnYJA064eZgXCQOO0TzMixjw1KEwLzRANNwEPlQMA9fYHbSjqhQ0HWp++AfNAMJmxYnJ4wWUm8gMYIOCC2texZkV9Hxd9waNSlRu6thCNp+h4WVp0IOyNqbLmBrn57M0vCEoF5KpcX5bq2iDqWFMs0od4b6zQoZIQUC7SNisOAjaWSFDpCCgXSRs1hwE88IaKZYFYtS84GEjN994pbj7zo/aSyRCZDAvIkBL+RB8qKQsQIzuG7HmxdD06XxGBWdWcL2KbG6+gOLqzjXSqGCTQmZWrL1atGbaYpDWfyjfd2/QFK7PTUyTsTHjDz3xMjaKyoTmO99MBUG30oPNDX6o5+tpWAoWcwTwf6Y51rp7gna6iZprD9qZY627J2inm6jZ9mBemOVdS29GzYtHHn9KfPX+74onH7m3lhit3xfmhfUSLQsQHyruaaYibgTz4pUzL9MMIF5GBZsVb5x9dZlgF6/aIa5cs2RWXDB4kfWilrvvFiiT5LX5eaqnoWppzEmT4/DCnMiVcTV6mpoDZgYZHL65cT5lbXQ2YQiK7osB/2fqJmquPWhnjrXunqCdbqLm2oN25lgn0RPMiySo6mnTqHnBNS8qLZhtRI+oaKU6AXyoVGdk6x71Zl7MLEznTYp9bFaQaTEyc7YAf2dLl5dVQRkVV3FmBQ0DGegYtFWisnHVet+xb/Em1dM4nM3SmswMGnbyJpkch2nmk9M0LKXcwtO3elkaLeJ8qq8h1zQM5RxaY4lGoFbtovWCo5IgAO2SoGqmTWhnhnMSvUC7JKiaaxPmhTnWtfZk1LyoNThX9kfmhStKLcWJDxX3NFMRu67du+NHl2YAIbPi+VPPLhPj3L7NNAPIUmHNy2nq0npYdGp3diHnmRnS0GBjY16u36R1ljI5Si2dMlvDG4ayhcyNTTT0hIelbKIHGx5YyhPQqR04myUA7czy1tkbtNNJ02xb0M4sb929wbzQTVRfezAvNLCEeaEBouEm8KFiGLjG7lzTjs0JNfyDh4CweVG8sDmRr1VB2RXn9G7SSMyepkxp9xYZGjJbg6Z0ZTPDy9aYEycrZGu00FATNjI2U3bGpgyvPVNDrbubm+0BmUIkprRL4dTqvkto567E0A7auUvA7chhXtirn3HzgutefOlPvllAxPXpU2Fe2HuBl4sMXwjc00xFbLN2PNyDh33I4R/+lKU8LCS4DHauEFdQrQo5/IOMCh4OwsNCGmFJWzuevtXLzpgT75C5cWRhXhwlY+MIGRwnKhgbrM2a5ozYRFkbm9nYoKldN1PWhmdutIm1mUzdy5e2dnUPOMEThHYJwk24aWiXMOAEm4d2CcI10DTMCwOQI3Zh1Ly494Hvifu//ah46L4vi53bt8qQDx46LD7x2a+Iz3zqVmdnIYF5EfHqS/EwfKhogE+p+U2LM6JpgR65aVrTj/TcHG1boMbpQeumHNUlkK+z3nZ+5Gi7fN97z9uunvM6573vH9vE7wXa23OYJgGlfa4+b8Zrj94vbMPvR/XPxRtpuMAiPegJPWgtCzr62wq2q/1on+Y2OoYetBbN7XK9mGmn41rlmt97fXJI7Dnzhth75nWxb+iQODTy1jKwFwxcQCYFF9a8jtbXiYtXXqIBvptN2HzfTdM1dWQ+K46SoXGEDI2jVCzUW5PJQevy86EIKhDaLDa3+hkbZHDIzA01LIVe18N0rzZr5+bdYC5qaGeOte6eoJ1uoubag3bmWCfRE8yLJKjqadOoeXHj7XeLj33kQ8tMCjY1Hn7sx87OQgLzQs/FaLKVxv5QWRTN86OiaX5ENC+Miua5s6IpS2t+TWv5PEvP50boubeNX4usb1JIo2JWGhZpLD8Zvkl2+8EVTxjtnicm/Tmd8s/JM+H1P88KcbKoZmQbeSLXdghxHT86vfWa4B/lmzJkgrDxQfUVlCFC62VGCZsjZJII3ySRpgkdI48NmilkoMhj89uV4eK36b8n2IThtjJdtK//aKV1E5sx5haX77vj+UwNMjXI0JAZG37mxhAZcpWWDTQUhTM2vEwNMjnI2JCvydhYRRkdLiwua+cC3yRjhHZJ0k22bWiXLN8kW4d2SdJNvm2YF8kzjtqDUfOCZxspNUREDSXBbCNRZcRxtRJw/UOlaWHCMyCk6XDWMx1884FNCGk60Pvec9+YIKOiiYwK3lfLQtkLi00d9IOYH530o5h+rctsBf4xRg/5Q51md5CvW7zt/KAfa4vyfe89b7t6zmvKfuD3/WNlG4tL7e19i3/YN4n3nc8ZFd6xsg3ej47L96P65+KNnM1BD3pCD1rLgo7+toLtar+cOD4zRBkVb4m9Z4+KZ84eE3vH3vMOCywb2jrEtb194trubnFNNz3vaKN8jjkvAyXHBg89X+T1vHztZaFYtBAzz8zoFLmWbk/HDK15Gz/nbfK5/6D98tvovVxLH73XI3Kt3nox00vbemmf3pIn6fp9V065cbqGjtLQEy9TI7j2Mjl4KthySy9d75vY3JA1NsjUULU2/EyOjCXTvtardhbdjYmFAu0SQ5t4w9AuccSJdQDtEkNrpGGYF0YwR+rEqHmBzItIGuGgBAjY9KHSRD9um2dOiMzsScp2OEnrE6KZnvPay4LwjQk2J9iMYBOCfgzHWXKt/fQDc4B+aPbTD89BsUivc/yat2d4Gz8foO3ePrzvYotnUHgP/is+mRUpLElp9+LQgUBhzT3i7dE3l53dpat25Qtrcs2KzX3e8LfQCw2FaSJzo4mGJIhFXpOxQWtvuI33Wm5n42ORNPbfl9sFGSAy44X399besf7z4D68nff1j/H68jNnspN07BS9pge3ldCySMZGjg0NMjbkmoyNTAebHL1irolek8EhjY6A4SG30evFFn7fP66MEZJQ2Ik0y8aGNDcCGRtH5jiDY16MUh2OSktx4VD52q+90W+wiGhS910iwNFoAQFo5+4FAe2gnbsE3I4c5oW9+hk1L1Dzwt4LodEiM/mFoHnutGiZPiIyU/SY4cdR+byF1s1sVFDmRK0L/3VcmgpsOpD5oAwGNh+k6eAbEWxIFBgTLbQv7ePVfnBz0aHd+NwYFdTck5+y9Dl6ztuCS29bn1ergopqqsKavK2uFjZTyMholkYGPbK+qbHABgcPD6I1b1PPeT3vmR/N8r1x+Whe4PUEPcboOa/H9WHiDB9lcMi1Z2wUZHwUGyX8Pu3nGSHewzNKevTFpamlswsLBYVDZeYGDVFhs+MdelRaBjNUayNDU776ZkZ+WAoZHOdqnvpVx32nCRmaqZEAtKsRmEW7QzuLxKgxFGhXIzDLdod5YZkggXCMmhfcL2YbsfdiaKTIdH6oNM8PeWYEGxRsTPhGRYs0Kt6RP+oqLVzDINe+Viy0rRU5fvDzjvXec2lCsBlBpkQbZ0F4z2XdgwZdomjHWRT7/Nk/nju5R7x4+sAyelv6zxdXsVHhzwKyY9VlDUpYx2lTXRXf2AgaGl3NbI6Mi9lJziBi04OMjnlleIzJe8UzQnxThNe0j76lie4nL9sjmNmRz/jw38tnhKh9g0Nj2ChhA8WAEZKl4SbeMJRgIVE1LCUrJirU2uCpXzfSsKANZGJspGEpG2h2lI30nOtvbKDtvK23hsyNKPedPt3QUhwC0C4OvXSPhXbp8o/TO7SLQy/9Y2FepK9BuQiMmxf2oogeGQp2RmeX1pG1fKg0z53xDAkyJqRBoR7y9dGqf2XmzIiFzs3ykeV1x6b864V2NilWpoXByX5f3P9zGfelu68rGf8i/eCT05TSlKUqu+LExPGCfWm+Es+kWOubFWuvFut6NjjJw6Wga7nv8udF9SSUyRE0PGTdF8r0kBkfbIQUGB6F5oc0UOR+Go0QqlUhh8PILI+lITAy46NULZC8abKUBSINlBhGyGkyL4KFQ3lYihqOUm3qV+bbR+aFNDSkyeEZGmxy5I0Oes4mCC+RtHPp4qzjWKGdu+JCO2jnLgG3I4d5Ya9+MC80aAPzQgNEw00UfyHg+hItk6+JlqnXRUauD0uTwjMnCocTFIfKmRELHWRKdHnGhDQo+CFfb5Y/ZLDoI1BsXpyeOuWZFe89IzirYh+ZFln6a3VwWd25Jp9RIU2LNVeLFprtAYtZAql/EWcjRGZzBM0Nb8iLNEJkIVxvnc8Y8V/LjJB571ivjUl98NgI8et/FBohSwVQl9UC8Yukyu0FGSPdMq5ZOtfjNCTlGA09OU6mxjEqJnqchgkdoyEp/Jofk1XqbXA7631DY3NbqziHZklZtegbHr7JsSrjxmwp+sRyr6XU7zv3kFkTMbSzRoqaA4F2NSOz6gCYF1bJURCMEfNC1br4zKduLTlN6v3fflSUes9ebIWRwbxwRSmq9EAFClvHXxA9My+KzOgBsThyQLRMvFqx7gTXiCgwJ5RR4WdRsHmBxRyBHz/1fXFs/F3xXPtBaVi8cfbVZZ1fvHKHNwTEHwZy/sA2cwGip7IE6uvLHBkhvpkh634UmyKqFkiB4eEZINIICRolWo2QzFJdEJkRwgV3uRCqv1av6f+1CTI+Tjd1iRNN3eK46BRH6fnbi53iDZpF6O1cRhof1ZYOymLaSDU3gtkaXgZHxsvqIJOjk8wZLOkRqK/7Lj2OafQM7dKgrqdPaKeHY1qtwLxIi3z1fo2YF7fd8SWxckWf+NbXPl8yok///p+KM8Nj4vsP3lM9Ygv3gHlhoSgUUvPcMBkVB+hxUBoWLfL5SyWD5aEd2Z6LRLZrm8h2XygfangHv4clHQJzNGPGvhP/LPa9xw9vKMjITGGB086WrrxJwYbFFTQEZKADmqWjWOVe8WWuDB+aQlcOa1HZH3IIjJ8J4g+NUZkhBTVCAgZIPjOEiqnqWBabaQpkyhqbowyPGZodZpqK1Y6SyTHkP9jwOEbT6J4UXWKUzJExej1Kw2jGmnvEKD/o+XizlwUyQMNT1pKJsYYear2Gtq0hk2MNmRxyGw1d6amhBoeOc2yUNnDfuas0tIN27hJwO3KYF/bqZ8S82HHTHeKeL9wlbr/lhpIkVBHPl5540F5SFSKDeZG+bBka3sEGResYGRQTnlmRmXq7ZGDzvTvo2/TlIte/S0x07BDzvZfI4phY0idwZmZI7D3+c2lW7D3hrYuXTf2bxdUbrhW7Vnszgexac0X6gSOCUATwRTwUpng7sRGiCqFK44MLotJ6nqZdlkNfaKplHvrCr/335T68XWaLeGsd0+jmKOOCjYxxMjbGWrq9NRkabGqM0YxJci0ftA+9niPDI5PpE61kmHTQo7O9X/RShkgfGcirWrvy5ofJKWLjiWHH0bjv7NAhShTQLgo1O46BdnboEDUKmBdRySV/HMwLDYxhXmiAWEMTLeMvk0HBRgU92LCgR/Pc0LIWFumvgvP9l4n5np1ivm+XyPbS896dNFNHO4rP1cA7yV15FpC973kmBWdYvHLm5WXdXbZ6t7hq/bXifeuvk1kV29dulfuMT2eTDA1tJ0AAX+YSgJpQk3J6XDkTDBsfY6I7wzPD0EwxU8OeyaFMkCybHVwQ1dtPGSRq1hhd4c01teZNjwkyQWbI6JinYqcLfnHUJlq3Uu2PNjI7Osn46KbhfD1tNEuTP12uVxvEm2K30WZrwn2n6yo03w60M89cV4/QThfJdNqBeZEO9zC9GjEvbrz9bvEHn/l4xcyLr97/XfHkI/eGidm6fWBeJCcJD/toG9lLQz58o2LsIP1FcHpZh7m2NWRQsDnhGRS8zvZsLxs1WrZcAAAgAElEQVQYPlSS06xSy/tP7s0P/+Aim8epdkVwac905I2Kq9ZdS8+vEb2Urh5cqs02ks6ZodcwBHDfhaFk5z6RtJPDYQJDYFTxUzkkJlD/w68XskDmSJbey5EhskjDaDL0vJWySDro0Zqb1QYmSwZ2VtYB6RWCTI8MF0v1C6bKwqn+o7AYqmd85JQBwjPF8HS5NNzF9iWSdrafVIPEB+3cFRrauasdRw7zwl79jJgXX/yjb4iXXztStqZFtZoY9uLzIoN5oUkhmuKy/exPRdvZp8iweIYee0rO9JHt3CqygYwKzqxY6Dy3piDwoVITrkg7n50e9qYrlbUq9sgZQWayhcYTzwLCWRUqs4KHgVRbYF5UI2Tv+7jv7NWmWmRpa8fDWORwFnrMkbkxOjcqxudHxNTcmJihLJA52p6l9aIsnjomMr7p0UvFUPtyk6J3kdb0vJeety1WL0RajYd6f5GGuwRNDTVNLmd55KfSDZgepd8nI4WyRqikdNhua9ovbe1qChY7FxCAdu5eENDOXe1gXtitnRHzghFw9gUvxdkVvH14ZFy4Wu8C5kW8C7xtdK9oG/6paKdH2/CTlFUxU9BgtvN8MT94DWVS7PIyK3ouo/oU8Ysx4kMlnm6ljn5z5DXPqCCTYh89XjmzvDjqthXbveKaNPyDpyzl17UuMC9qJWbP/rjv7NGi1khc1G6eDPGTNCXsKZoyNr+m6WJH5ifF+NyImCHjY5aMEM726KVCp31kePQu0pqyPqTZwaYHPZTpwa8HaPsAmSA9tH93jqbWpewSXUtwmtxlGSAqG6RchkjB+5QRElhc1E4XU9fbgXbuKgjt3NUO5oXd2hkzLxgDZ2A8+sOnC4hcc8X2srOQ2I1uKTpkXoRXimf7aKPsCmlW0Lp5rnDmCDYpZld+QMz1XydNi4X29eEbr2FPfKjUAKvErrnFnDQp1INnAjk1daJgz9ZMm7hqLRkVZFKoKUtXdqyK1zEdDe1iI0ytAWiXGvrYHdezdjkyOdjgOEVGRN7oyGYLDA/5PhkhWdo3uHTTMMYlk4NMDzZByNRYI6bFRnpvjZgSa2jbCloPchYImSM9MiuEMkBo6AwPi/GG1oxTs4VtRxaNCqXmsz7I1GiioXeLNEQmS4VR1bCX0Bkima7IYeDA+ATq+b6LT8fuFqCd3fpUiw7DRqoRSu99o+ZFeqeZbM8wL8rzbZk+LNqGyKzg4SBkWGRmjxfsnO3eJmYHbxRzZFjMrvggZVWsSVYsv3V8qNSG+fTUKWlUPHfCG/7BxTWz9BfM4LK2e73gqUqlWcGmBT1vatKfBg3tatPOpr2hnU1q1BYLtPN4DeU8E+NkltfzZHDQmv4vLMjuoPdni0yOSrQHaYrYlVQ7Y1PTrDiHzI11ZHysWyTjg56vpGyPFfTo54wQWneT2ZGRs8L4U+tSlkh+Gl1ZOJW203valqYWobJA5FoVQJWZHn4dEF7TsBdVHJX34WEwch2oIbLY1K4trEZpCPedu0pDO3e148hhXtirH8wLDdrAvFiCmJl9r2AYSMvUGwWEFzrOkSbF3IobybT4gFjo2qJBgdqbwIdKZWavDh/ya1V4NSteP/vKsgO2r7pUmhRcVJONiq0DF9YuRIQjoF0EaJYcAu0sESJCGNCuNmijuZyXuUHGxgnK4mDDQxkcpxdyYpi2nyHj4wyZIbXmW/BUsasyLWJlJkOmh/dYoZ7TehWZxpz5sZqGuKxYmBIDLTRzDBkb01NqetwShocsoupvp8KparaYUgWyayOxtDfP9LVIM8Qs0nS4MjMkWBeEptLl+iFexgg9pyl08+tWyhiRtUWCD9pG+wkyV+p5wX3nrrrQzl3tYF7YrR3MCw36NLJ5wV9s2od+5Nes+ClNW3qwgGiubSWZFTQMhIwKXleaAUSDFKGbwIfKEqr5hTmxTxXW9IeCnJkunHq2s6UrP/xDZlfQo799IDRvnTui5oVOmmbbwn1nlrfO3qCdTpqFbbGBcYbMjTNkeAz7hob3ms2NnG9yZP33cmKhhqwO7qmfzI1VLRkx2OSbHS1epsdKet2faZbvsyEywK9pzdu6aOgJL025eWlqeNPh+tkeyuSQxVFpyEuJmWOayQDh7cH3mxb1zRijCC42d5DJ0eVNgSvNDzY9eDpc2iaNEm8tTRF+Hljn1PvF77V0CluyRHDfJXffJd0ytEuacLLtI/MiWb5xWod5EYeef2yjmReZmeOi49SjomPocdF++h+IwtLfjfjLQX4YCBkW8/1XaiCsv4lG/lA5MXHcr1WxRw7/4GEgxcvG3nO9OhX0YLPi8rVX6RchYoswLyKCs+CwRr7vLMAfKwRoFwuf1oPPUubGGc7ckKbHAmVxeGv1umBN7xXX6QgTTCtlbwxKU8M3NNjcyD+nbWRuDASMj34yPrzXzaLTNz6K+2HzoqnI1FAmR1N2ksyOSX84DD2nITLeNjZMeLv3vnywiULvN9N2ml4mzOnUvg+dz2IzmRgZerA50uQ/59dsgrBpItf+dl7zfsXb1T7SECnal9uibZWm28V9V7t0thwB7WxRIlocMC+icTNxFMwLDZQbwbxonjslOk9+X3ScfFS0n/nHAmpzg9dTVsVNXoYFDQdxYWmkD5WXzxyUQz94BhBevzVaOJSH9dq5+vJ8Uc2r1l0rNvVtsVZGmBfWSlM1sEa676rCcGwHaOeYYIFwF9qbxBDV6Dg6NetlcviZHmx6jJARMkprHuYySgVLR3hN26apKHPUpZ3MC5nJwWYHGxpsdASND/men/HB+9JQF+91s+goY3yUi4VnKFPGhzQ/fGNDbvMNEK8OiDI/+PmUP0TGfy6PoW1qvUDDbGhqXlPLYnObZ5JII4QKpJIBkpPrTtHcRkNjMh1iXrDR4WeZlDJVis2TYoOFzRPKRsFijgD+zzTHOomeYF4kQVVPmzAvNHCsV/OieW6YMiy+Lzrp0X76hwWkZtbcKqbX3ipmV/0iFdlcrYGi2Sbq9UNlOjvlZVUos4KGg4zOjBTA7aXK81eup6lK/aKaXGCzh4qrubLUq3au8I8TJ7SLQy/dY6Fduvzj9B5Fu1kyL9jQGFHGRsFzz+yQRge/L/dVRkhOzMQwPti88IwPz9Rg44OzP+Rr3+jIGyPy9ZIxwqaJtoWMHGly0NDYJjYz5HMySoLb+D36zJXv8/Piffm94u1qX35v0WtPaJxut9r5S4NEGhl+BkmxIaIyS9T2gAnCZkrOf1/Itcom4eE4fiaK2p/qmzT6EuW+a3RmNp0/zAub1CiMBeaFBm3qybxonh+VhkUHZ1mc/kGRYfGrwjMtbpNVxl1e6uVD5d2xo+JZrlfhGxbPn3p2mSyb+87LZ1XwMBDOsnB5qRftXNYgauzQLiq59I+DdulrEDUC09qxeZE3N2g4S97ckNkdnNmhzA//Pcr0UCYJmyZRFx6ukjc+ApkeKqsjX9sjMBTGM0Yyoi2BmbHCnkdTjobTLJCRwdkf0hBRRsiU6GqlDBB6PTNNNURklkkJQ0SZKsoYkZklvukizRN+7RslYYOKu19w2E2xIbJsqI1vpqhhN1yvRJkjwaE5wWySYKYK9WXjYvq+s5GByzHBvLBXPZgXGrRx3bzgMaVqSEjHqccKDYtVvyRmyKyYWXMbZVgMaqBlRxOufqi8cHq/NwsImxVkWhwdfXsZUK5PIYtq8kwgG64VG3rOsQO6pihc1U7T6TvdDLRzVz5oB+1MEODhKgVZHX52h8zyKDY+5Ht+1get52IYH1ygVBUrzRcuVYVM1RAXzgiR2SCqDoiXEcL1QZJadN933pCZgFGiTA5leMjskUCWSTCrRBonfvYJZ4wEM1GU4aKMEjJkTC1y2I1fa4SzQ2RmiawvwsVaS2SZKBOkoJZJwDDhY4P1S4LZJzWclG7taugau2ogAPNCA8SEmoB5oQGsi+YFfwBxdoVnWnyfKCwV3ZxdebOYWXebzLDIta7SQMi+Jlz4UBmfGyOTYo9fXJNqVrz3z2JyfqIA5kDHYL6opiqw2UEf1vW8oOaFu+q6cN+5SzfZyKFdsnyTbL1RtJvyjY/C4S5FQ1yKhsLI4S70mK9xBpegXt3ljA8e0iLfa/FrfyzV9pB1Pui9lirGh7Pa5YfdFA21CWaFLPrDboozR/LDb3wjJZhRUmJfQcVrTS3ecBsaEtNE0/7yUBme/pcf9Dy/rYlrmHSIllYuxtpOphq99vfn13y8NFt4aI08XrXDQ2+K2qbjuOaJt49n0gidw6NMgXOwH5gX9ooG80KDNq6YFzzlmZwlxB8Wwq/VMrvyQ36Gxa1ioX2dBip2N2HjF4Ijo4e9opr+EJAXhw4sg7h14ELPrKA6FZxZsX3VpXaDTiA6mBcJQDXUpI33naFTd74baOeuhNCuunaTyvjgISz0w1tldHDx0hG/psdSlsfS+5wREmU2FxVRj1+3o6C2BxkbfZT10UvGxsq2FtFLr1vp9zmbJL3NTfTI0HNvzce3JJf4UR2cBXtwcdWluiNceHVp2I3wh8s0sVESzDIprl9SyVQJ1DKx4HTJwGiVRV0Xm1rIyGj1XvOaHiLjreVz2p5fC9qXXwf3le/723n/fFsty4+X79P2ZcdzP/7+BbEE2mXTRcVD+wrhx2EDzAoxwLywVyCYFxq0sd284KEgnSe+JzMsOONCLXODN8rsCh4WstCxUQMJd5qw4cvc/pN7KZvCG/7BhsXx8XcLADaJJiqs6Q//WH+tNCzWdNW/sVTtKoJ5UY2Qve/bcN/ZS8fuyKCd3fpUig7aJavdhBrqQrU8xuh5vpBpvqhpVs7gkp/NRc7o4tX7iGN8qLPiWh+9NHzFMzSaRY80NdRzek3v88MzO4R8v9R+bI5gqUzAK8pKNUr4uzTXKmETZJHNE3oth+PwNu/R2UJ/IKRts7NspnjvyWN4P542OEvH8LH+e96QHNqH35P7eO/JduX+9KC1yQKvSV4PS0ZI0OggY4PMDc9o8c2ZUEZMwHDJH+8bLvJ4zlrx261m5PjHr9rqxuyJSWpka9swLzQoY6N50TJ1WHS9+6DofO87IjNzLGBYvF/MrPaKbi50bdZw9m42YfrL3MjMWWlSsFnBwz/YrJjlD7vAsqpzdUFhzasos6KFXHQshQRMawf++ghAO30sTbcE7UwT19cftNPHUndL42xwsOlBP9m8ISxsbGTFeG5RjJO5Mdu8KCZo2zBNdTtB70/Q8JZxXtM2fs5rHQYInxdbFz1sfvhmiDRB6HUXGSFcE6ST15T5wc95Wze9r97rov3k+/I94a/JUKGhM230h5hGXJK672TWtDRNKB2Hs05kFvW8t6YhNE3557RtkbbRw9vX36fgfdrO7/Oxai2oDdlW4Hj5vr99Wfv+dj5+gacY5vb8/vL9++3JIT4qDsuviv9haTi95ZE2XHgwLzRIbpN50X7mH0XXMTYt/lv+zOZ7LxXTGz4pMyyynVs1nLH7TST1oaLIHBp6Uew/uU88T9kVz57cI14589IyaNtWbPfMirVXy8KaFw5e7D5YA2eQtHYGTqFhu4B27koP7aCduwTcjTzMfTctDQ02Mzxzg00OaX7QerLI7JD7+SaI2o8zR9gE4aEzSSxc16MzaGiwIRIwRfLGiDRHyPCQ7wVNE95/yTQJGidJFkuNyyKMdnH7cPn4vGGijBU2OtgwIXPDM1p8Y0Vtz78fMGKkMeObNrwm86Spid7ntTJclIGiDBkyZyoaOX4/bb+612W8dR07zAsN8qZuXtAHVve7f02ZFn8tWsf2589oasNviKlzfkvMDd6g4SzrqwmdHyrHxt8RB08/T0bFPt+w2Ccm5scLgLVQutr7aOiHKqrJw0FWdtRnMdSkrxSd2iUdK9ovJADt3L0ioB20c5eAu5GbvO/YumATQ2Z20B+dpclBjykyQLgYKpskU2SK8HO1bZL2l69pLd/Pv+c/p/3jTH9bTTk2Rrzsj+JMEJUtsmSCSFMkYILwcBtpkhQYI8o8aapaTLVabCa1qxYL3q+dAGpe1M7M1BEwLzSQTsu8aJl8XQ4N6Tr216J5fkSeCdeumNp4h5g699NUeHO9hrOrzyaifqi8M3ZEGhVcTPPgqf1yfWryxDJIm/u2it00ZSlPW8prNi2aEpxOrT5VKn1WqHnhrtpR7zt3z7h+Iod27moJ7aBdmgR4WItnbCyZG5M0VGbpdcD4kObIopgsME3YHCk0Tbx9crFmianGhLM6Ck0RP/uDzI688eEPlfGMEc8oUcNnVnW0SHOEggy0w8NrRGxjpFrseD8+AZgX8Rkm1QLMCw1kTZsX7UP/IDMtOk4+ko+ei29OnnuHmF7/SQ1nVP9NhPkyd2TsLfHiqed9s4LW9Hxo+vQyOIMdK8TO1bvzRgUbFmu61tY/xJTOEOZFSuA1dBvmvtPQDZpIgAC0SwCqoSahnSHQCXQD7SpDZWOkwBTJZ4KobJGlLBHODvEyRbxjpmWWyHJjxDNOhLZaIqXOgOuAcD0Qb3jMUp0Qr67I0rCZwroiS8aIZ5I0iw7at4PMkA7/eSdVLuHXNg+nSeA2SaRJmBeJYNXSKMwLDRhNmBdcpdjLsniQhoYsTaE5tfE3ZabF3OC1Gs6kcZoo/kLw1sgb4sXTlE1BWRVeZsXzYnj6zDIgXFTz0tW7pFkh12suF5xlgcUcAZgX5ljr7glfxHUTNdcetDPHWndP0E43UXPtQTtzrIt7mg8YI8rQUGZH3vgokU2ihs/MkonA+49TsdWlYTYLZJoka4zweWTI3Oggg6SD19Lg8J63q21sfqjtvE0+Dxgh8jlv5+PoObXptcGGid+uNEqoTXrNZky9GSYwL9K796r1DPOiGqEQ7ydpXrRMviJNi256NGXHZDQLnZuolsVvi0kyLXLt+At/CIkKdnlz5DXxxshBceDk8+LZ954js2K/GJ31ht0EF86euHT15fKxk9erdolN/Vtq7Q77ayaAL3OagRpsDtoZhK25K2inGajB5qCdQdiau4J2moEabK6SdnM0uwwPhfFMkWA2CG/3M0J8Y6SwrohniMjMETp2hmuKNC3KNZsmM/TeDJkjcwkVX62Gjw0Mz8gQ3pqMjVZat9F2njtPvk8GiLfNe82Pdt7m7+PtS+/zscXb8u3QLDb+sQVt+yaKdzy1n+/bj8lvuznEMG6YF9XUTu99mBca2CdhXnQMPS663qGhIacey0c4u+ImqmVBQ0PWfUxD1I3RxGvDh7z6FJxNwZkVVKdifM4zgYLL2u710qDYuYYyKsik4Ocbe89tDEiOnSW+zDkmWCBcaAft3CXgbuS476CduwTcjTzN+46Lr0ojg57MCDY0PFNjhowR+Zzen1bPebt8P7CPPMYzRbz92Szh58ogWXo+x2YJvc+ZKq4sXOjVM1d8kyVvqHgmCxsi+3dsc+V0Gi5OmBcaJNdpXnQe/6+i58hfFc4acg4V4KRMi7n+92mItn6beOXMy2RQeEU0uT4FGxaT8xPLTnhDzzni8nWXi11rd4uLBndJs2J9z8b6BVNnZ5bmF4I6Q2n8dKCdceTaOoR22lAabwjaGUeurUNopw2l8YYaUTs2MDwjY8nQ4G2zZHxkKdNijgwTZXSw6TFPJsk8vae20WSnlDVCx1Mbci0fRdton6V+aD8u3Fq0zTve389vj9uZlfsu0r/qy+Luy6rvhD1SIQDzQgN2HeYFDw3pOfp10TL+soxoofM8Mcmmxbm/LXKtmFKzWKaXhw6SUaHqU3hmxXR2apma5/Ru8oZ8yPoUu+XzNV3rRCN+qGi41K1oAjUvrJAhUhC47yJhs+IgaGeFDJGCgHaRsFlxELSzQoZIQfz/7d1fjB3VfQfwg1lYbGyD1yY2uATXdkgNom1QFaQIRJ4iFKlgRZXCQyMhoBGo4oU82AQJqbQOuFJIJR5AaYIspYqgkVJDX1CUKqFYkVKpeSglprVxnbSOgcR/MAb8F3rPrGdZX3b3zsw9d/aM/VnJWrN75pzf/XxnuLs/nztXdo3YWjko3uh1qslSNknKhsmZz1+8clkrtVikvoDmRX2zjx0xTPNi0b5/CIv3/G0Ye293Me+pxRvC0Wv+srfT4u4ElXV/ig9629V+eeCVybclPXNDzfj5+Om46e3sj2uW/n7RpCjuU7Gi9xKQlX8crlj4iRkRPKl099zQvOhudq472XVXoLuVu+5k112B7lbuuutudrFy97zINz/NiwTZNGlejB/4l7Dk9a3h4kM7igpOLvmj8G5sWqz+8wQVdXOK3Yf+K7x+aFfY8/ausPN3/1n8ee3gqyE2MPo/1ly2rninj/L+FPHdPyYWLq/8wD2pVKbKbqDmRXaRVC7IdVeZKruBsssuksoFya4yVXYDZZddJJULkl1lqiwHal5kGUtRlOZFgmzqNC/Gju7sNS0eDwvf+EGx8umFV4d31m4u7mlxPnwcPnYoxHf7eP1Q78/hXWf+vivExsVMTYposn7Zp8P1K/5wWrPiM+HyS4bbzuVJpbtnm+xk112B7lbuupNddwW6W7nrTnbdFeh25ZoX+eaneZEgmyrNiwUnD/deHvJYWLz3yckVLxjrNS02hXfWPdT7e+92t+fYx963X59sThyMTYrYrJhsVLz13puzPtL4so91E58K6y6/Nly77LqwYcX14Q+WXx8Wji1KruMHguSkrU0ou9aoky8ku+SkrU0ou9aoky8ku+SkrU0ou9aoky8ku+SkrU6oedEqd63FNC9qcc08eFDzYvHevwuLe7stFpyafIvOd6++Jxzt7bY4fUm33+EivuVo0aA4s4ti8mUfkzsqTp4+MSPWpRct7jUneg2KZdd+9PnM3y8ZW5ggjWpTeFKp5pTjKNnlmEq1mmRXzSnHUbLLMZVqNcmumlOOo2SXYyrVapJdNadcR2le5JqMl40kSWa25sXC/c+FJXu2hrGjrxXrHLvii+Hous29tzz9kyTrtjXJ/x751bQmxUe7KPYf3TdrCauXXF3soFi3bHInRfk5fj2HD08qOaTQrAb3vGjmlsNRrrscUmhWg+yaueVwlOxySKFZDbJr5pbDUbLLIYXmNWheNLcb9ZF2XlQQvuOuh8PuvZO/qK9fszo8v23LWUf1Ny/GD/5r7yUiW8P4gZ8U404u/Uzv5SGbw7FP/GmF1dodEt+1441394c3j+7vvaTjjeLvsSnx6yP/E3799t6iaTHTW5DGKscvvGRy98RE3EUxuZNi/cSni89xh0XOH55Uck5n7to0L7qbnetOdt0V6G7lrjvZdVegu5W77rqbXaxc8yLf/DQvBmRz94Nbw4GDR6YaFrGRsXxiaXjmiU1TR5bNi7H3dhXvILLwN98vvnd6fFVvp8VDvZeJ/EXrZ0C8+eWbsSnR+1M0J6Z9fuu9j7528P0DA2tbeemVfbsoJndSxHtUdPXDk0pXkwtB86K72bnuZNddge5W7rqTXXcFulu566672Wle5J2d5sWAfG7Z+ED42n1fDhtvu7kYuf3FHeGbTz8XXt5+5sabva/tf+u3Ycnux3s343xiara40+Louk3hwwvGk58Bv33vrWKXRNGQ6O2YePPd30w1KIqv9ZoTb737RqV1xy68KKzqNSdig6L4vGjy759csiZ88rI1YW1vF8XS8csqzdWlQZ5UupTW2bXKTnbdFehu5a472XVXoLuVu+5k112Bbldu50W++WlezJHNKzv3hDvvfzQ8+9Qj4YYNa4uR/V87/dq3wvv/8Tfh1ImD4fiHIRxe+Wfh0Op7w/sXXRFOfnginDh1PJz4oPf5dO9z7yaWxZ8Pjhc3tDze+xM/x/8+3ht38oOTk+Pi+OK/T4Rjp46FQ8cOhsPHD03tpDj1walKZ1RsQqxctKpoRkw1Jy69KqxaPPnf8c+KhVdUmutcG+QHgu4mKjvZdVegu5W77mTXXYHuVu66k113BbpdueZFvvlpXgzZvLjgry5oPd0Vi1aEq5ZcNeufK3vNifj9BefgW7C2jm1BAgQIECBAgAABAgQIEJh3Ac2LIZsX4389FsYWjIWLe2/zOT42Hi5ecPHk5wt7ny8c/+jvc32vN64YP9Nxve8tX7Q8TCyc6O2YWFU0JeK8PgicrwIvvfRS8dBvvfXW85XA4yZAgAABAgQIECBw3gloXgyIvMo9L2Z7q9Tz7mzq0AO2FbNDYfWV6oad3c3OdSe77gp0t3LXney6K9Ddyl133c0uVu5lI/nmp3kxIJs67zaSb8wq6xfwpNLdc0LzorvZue5k112B7lbuupNddwW6W7nrrrvZaV7knZ3mRYV84tuj7t67rxi5fs3qqbdNLQ+186ICYmZDPKlkFkiNcmRXAyuzobLLLJAa5ciuBlZmQ2WXWSA1ypFdDazMhsous0BqlmPnRU2wFodrXiTA1rxIgNjyFJ5UWgZPuJzsEmK2PJXsWgZPuJzsEmK2PJXsWgZPuJzsEmK2PJXsWgZPvJzmRWLQhNNpXiTA1LxIgNjyFJ5UWgZPuJzsEmK2PJXsWgZPuJzsEmK2PJXsWgZPuJzsEmK2PJXsWgZPvJzmRWLQhNNpXiTA1LxIgNjyFJ5UWgZPuJx7XiTEbHkq113L4AmXk11CzJankl3L4AmXk11CzJankl3L4ImX07xIDJpwOs2LBJiaFwkQW57Ck0rL4AmX07xIiNnyVK67lsETLie7hJgtTyW7lsETLie7hJgtTyW7lsETL6d5kRg04XSaFwkwNS8SILY8hSeVlsETLqd5kRCz5alcdy2DJ1xOdgkxW55Kdi2DJ1xOdgkxW55Kdi2DJ15O8yIxaMLpNC8SYpqKAAECBAgQIECAAAECBAgQSC+geZHe1IwECBAgQIAAAQIECBAgQIBAQgHNi4SYpiJAgAABAgQIECBAgAABAgTSC2hepDc1IwECBAgQIECAAAECBAgQIJBQQPOiIeYddz0cdu/dVxy9fs3q8Py2LQ1nclgqgbqZzDX+oeD/YXMAAAx3SURBVG98O7zwo599rLRXf7otVbnmmUOgbpZxqie/+8Pwj//8k/Dy9ifZtiiQMivXXYvBzbBUnSzvfnBr+Pkvdk7N4nmw3exSZuW6aze7/tXqZNmfleuu3exSZuW6aze7Ya676cfGnzWf/t4LYcvme8PG226e3wdxnq6uedEg+PhD24GDR6YaFvF/ZssnloZnntjUYDaHpBCom8mg8fFJ5Zf//StNqRTh1JxjUDb9021/cUd4+PHvFF+euHyJ5kVN72GGp87KdTdMGsMdWzfLWzY+cNa1Fv/75s/eEB77+leHK8TRAwVSZ+W6G0g+sgF1s4w/b07/xzI/f44smo9NnDor11172fWvVDfL8vjyH8kOHn5H82L+4guaFw3w4w9pX7vvy1Mdt/jL0zeffs4vTQ0sUx1SN5NB4z2ppEqm/jyDspltRjsv6lsPe0TqrFx3wybS/PimWZYryq65fd0jU2clu7oJpBufOst0lZmpXyB1Vq67+TvHmmQ5/WfM6z9/l+bF/MWneVHX/pWde8Kd9z8ann3qkXDDhrXF4TN9re68xjcXqJtJlfH92/n8i37zfOocWSUbzYs6oqMbO4qsXHejy2uumYfJspw3/gvwdddeY+fFiCMcRVauuxGHNsv0KbKMv4R9au3v2fk74ghHkZXrbsShJbzu+v9xTPNifrIrV7XzoqZ/iv+B1VzS8AECdTOpOz4uH38wjx/ubTLa07FJNmVFdl6MNpv+2dvIynXXTqbDZBkrLH8Id0+g0efVRlauu9HnGFcYJsvYtIhb193z4tzJynWXZ5Yz/WypedFOVrOtonlR03+YJ5uaSxleUaBuJnXHxzLK+yr44bxiKA2HNclG86Ih9pCHtZGV627IkCoePmyW8eZl03cjVlzWsAYCbWTlumsQTINDhsmyXK7/tfsNynBIBYE2snLdVQgiwZC6WfbfnHp6Cfd95fbwwD1fSlCVKeoIaF7U0ToztslrpRos45AaAnUzqTvek0qNMIYcWjcbzYshwYc4fNRZue6GCKfmoU2ytOOiJnKi4aPOynWXKKgK0zTJcvq0sqqAnGjIqLOSZaKgKkwzbJZ2XlRAHuEQzYsGuE3vUttgKYdUFBiUSf92vEHjZ7qTvteVVgxjyGGDsplta6WXjQwJ3+Dw1Fm57hqEkOiQulna4pwIvsE0qbNy3TUIIdEhdbPsz8p1mCiICtOkzsp1VwF9REPqZtlfhubFiIKpOK3mRUWo/mF13uu54RIOqykwVyYzPcEPGr97776pCm66cYMbYtXMY5jhg7KJc5f3H5n+Vqnlmrd/4XNuHDhMADWOTZnV9LliCa67GkEkGFo1y3Lb7UxLbtl879Q7cSUoyRSzCKTMynU3v6dZ1Sxjlf1ZuedFu9mlzMp11252dX6PG9QU1LyY3+w0L+bX3+oECBAgQIAAAQIECBAgQIDAAAHNC6cIAQIECBAgQIAAAQIECBAgkLWA5kXW8SiOAAECBAgQIECAAAECBAgQ0LxwDhAgQIAAAQIECBAgQIAAAQJZC2heZB2P4ggQIECAAAECBAgQIECAAAHNC+cAAQIECBAgQIAAAQIECBAgkLWA5kXW8SiOAAECBAgQIECAAAECBAgQ0LxwDhAgQIAAAQIECBAgQIAAAQJZC2heZB2P4ggQIECAAAECBAgQIECAAAHNC+cAAQIECBAgQIAAAQIECBAgkLWA5kXW8SiOAAECBAgQIECAAAECBAgQ0LxwDhAgQIAAAQIECBAgQIAAAQJZC2heZB2P4ggQIECAAAECBAgQIECAAAHNC+cAAQIECBAgQIAAAQIECBAgkLWA5kXW8SiOAAECBAgQIECAAAECBAgQ0LxwDhAgQIAAAQIECBAgQIAAAQJZC2heZB2P4ggQIECAAAECBAgQIECAAAHNC+cAAQIECBAgQIAAAQIECBAgkLWA5kXW8SiOAAECBAgQIECAAAECBAgQ0LxwDhAgQIAAgRYFnvzuD8PT33vhYyve95XbwwP3fCncsvGB4nsvb3/yY2Pi9yYuXxqe37al+N6gua7//F1zPrKJy5cU69z94Nbw81/snHHsls33ho233RzuuOvhsHvvvlD+dzl4+4s7wsOPfyesX7N6qq7+iarUcfNnbwgv/OhnU4fe/oXPhce+/tVa61Z5HC1GbSkCBAgQIEAgoYDmRUJMUxEgQIAAgbkEyl+un33qkXDDhrVTQ2MT4scv//vUL//xl/2bbtwQnnli09SYh77x7bDj316ZampUnau/ydDffIjfj3MdOHhk1uZDHFM2L/rrKr8+V/NiuknZ7Jipjpm+V2fdKo/DGUqAAAECBAh0U0Dzopu5qZoAAQIEOigQmxLljoK5yu//Jf6VnXvCnfc/etauh6pzpWxeLJ9YWuzQKJsvZV2xoTGo+VGljtmaF1XX1bzo4EWhZAIECBAgUFFA86IilGEECBAgQGBYgf6Xfcw1X/xFfNee/yt2WsTdB/EX+Ok7MerMFdeZa8dDlV/6Yw3XXXtNePN3h8LKFcuKl3TE3SDxI35tlM2LqutWeRzDZuh4AgQIECBAYH4ENC/mx92qBAgQIHAeCpQNhOkPfaaXT5Tfn36viFd/uu0ssbpzDWpeVLnnRWwi3HTjdcU9LmI9sb64C+Nbf/+DkTcvqqzrnhfn4UXlIRMgQIDAeSOgeXHeRO2BEiBAgEBOAv2/aM/0cpKy4VDezHO2+uvMNcw9L2LzoryJZqyl3A1SZ8dDk3teVF23Th05nQtqIUCAAAECBAYLaF4MNjKCAAECBAiMVCC+/CK+00b/7oqZ7nUxqJDZ5hq082LQyz7Kl43E5kX5LidlI6RO02CY5sWgdevUMcjR9wkQIECAAIG8BDQv8spDNQQIECBwjgrERsT3/+nHxc6F/o/yl/L+dyGZrXnRZK6UzYtYf7znRvl2rnWaBsM0LwatW6eOc/Q087AIECBAgMA5K6B5cc5G64ERIECAQE4CZSMi1tS/w2Kmt0aN4+ZqXsR3H6kzV+rmxXTbOk2DYZsXc61bp46czg21ECBAgAABAoMFNC8GGxlBgAABAgSSCUy/CWc56Wz3tBj0spE6cw1qXlS9YedMO0fqNA1mq6N8uUtpUt4DZPrLVfpD6F/XDTuTnaYmIkCAAAEC2QloXmQXiYIIECBAgAABAgQIECBAgACB6QKaF84HAgQIECBAgAABAgQIECBAIGsBzYus41EcAQIECBAgQIAAAQIECBAgoHnhHCBAgAABAgQIECBAgAABAgSyFtC8yDoexREgQIAAAQIECBAgQIAAAQKaF84BAgQIECBAgAABAgQIECBAIGsBzYus41EcAQIECBAgQIAAAQIECBAgoHnhHCBAgAABAgQIECBAgAABAgSyFtC8yDoexREgQIAAAQIECBAgQIAAAQKaF84BAgQIECBAgAABAgQIECBAIGsBzYus41EcAQIECBAgQIAAAQIECBAgoHnhHCBAgAABAgQIECBAgAABAgSyFtC8yDoexREgQIAAAQIECBAgQIAAAQKaF84BAgQIECBAgAABAgQIECBAIGsBzYus41EcAQIECBAgQIAAAQIECBAgoHnhHCBAgAABAgQIECBAgAABAgSyFtC8yDoexREgQIAAAQIECBAgQIAAAQKaF84BAgQIECBAgAABAgQIECBAIGsBzYus41EcAQIECBAgQIAAAQIECBAgoHnhHCBAgAABAgQIECBAgAABAgSyFtC8yDoexREgQIAAAQIECBAgQIAAAQKaF84BAgQIECBAgAABAgQIECBAIGsBzYus41EcAQIECBAgQIAAAQIECBAgoHnhHCBAgAABAgQIECBAgAABAgSyFtC8yDoexREgQIAAAQIECBAgQIAAAQKaF84BAgQIECBAgAABAgQIECBAIGsBzYus41EcAQIECBAgQIAAAQIECBAgoHnhHCBAgAABAgQIECBAgAABAgSyFtC8yDoexREgQIAAAQIECBAgQIAAAQKaF84BAgQIECBAgAABAgQIECBAIGsBzYus41EcAQIECBAgQIAAAQIECBAgoHnhHCBAgAABAgQIECBAgAABAgSyFtC8yDoexREgQIAAAQIECBAgQIAAAQKaF84BAgQIECBAgAABAgQIECBAIGsBzYus41EcAQIECBAgQIAAAQIECBAgoHnhHCBAgAABAgQIECBAgAABAgSyFtC8yDoexREgQIAAAQIECBAgQIAAAQKaF84BAgQIECBAgAABAgQIECBAIGuB/wegYc+IafdaQQAAAABJRU5ErkJggg==",
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""
]
},
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],
"source": [
"dynamics.plot_history(colors=['darkturquoise', 'orange', 'green'], range_x=[0, 0.4],\n",
" vertical_lines_to_add=[0.1])"
]
},
{
"cell_type": "markdown",
"id": "57e7c2b9-c693-4e16-92f6-6e0a94b18a2b",
"metadata": {},
"source": [
"A possible conclusion to draw is that, in this case: \n",
"1) the earlier part of the complex (compound) reaction `A <-> C` cannot be modeled by an elementary reaction\n",
"2) while the later part can indeed be modeled by a 1st order elementary reaction, with kinetics similar to the slower `A <-> B` reaction"
]
},
{
"cell_type": "markdown",
"id": "e9069c36-6852-4530-bd51-7a18aaeb4eb7",
"metadata": {},
"source": [
"**The intuition:** imagine `A <-> B <-> C` as a supply line. \n",
"`A <-> B` is slow, but the moment something arrives in B, it's very quickly moved to C. \n",
"The slow link (`A <-> B`) largely determines the kinetics of the supply line."
]
},
{
"cell_type": "markdown",
"id": "18171c4e-eb73-42c7-a5b7-c74c61357b20",
"metadata": {},
"source": [
"### While it's a well-known Chemistry notion that the slower reaction is the rate-determining step in a chain, we saw in this experiment that **the complex reaction could be roughly modeled with the rate constants of the slower reaction ONLY AFTER SOME TIME**. "
]
},
{
"cell_type": "markdown",
"id": "106971a6-169a-41e8-98a5-7d74fead715c",
"metadata": {},
"source": [
"If we were interested in early transients (for example, if diffusion quickly intervened), we couldn't use that model."
]
},
{
"cell_type": "markdown",
"id": "2c1ea8cf-b3f6-4569-a700-c0fe86e47fbb",
"metadata": {},
"source": [
"#### Is that surprising? At early times, compare the inflection of the final product, `C`, of the composite reaction vs. the inflection of the product of a simple reaction (such as B in experiment `react1`, both appearing in green.)"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "1014bb04-6d8a-4ab5-b59c-2c23ef6896b4",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "markdown",
"id": "43c44071-8633-4a25-a236-3ce6f8295de5",
"metadata": {},
"source": [
"#### NEXT: in the continuation experiment, `cascade_2_b`, we explore the scenario where the 2 elementary reactions are much more different from each other"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "a485900d-f5ef-4bd3-9c4b-3896ad3de241",
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
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"display_name": "Python 3 (ipykernel)",
"language": "python",
"name": "python3"
},
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"version": 3
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"file_extension": ".py",
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