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"cells": [
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"cell_type": "markdown",
"id": "99bf0c38",
"metadata": {},
"source": [
"# Reaction-Diffusion in 1-D: `A + B <-> C` in 1-D, taken to equilibrium\n",
"#### Mostly forward reaction, with 1st-order kinetics for each species\n",
"\n",
"Initial concentrations of `A` and `B` are spatially separated to the opposite ends of the system;\n",
"as a result, no `C` is being generated.\n",
"\n",
"But, as soon as `A` and `B`, from their respective distant originating points at the edges, \n",
"diffuse into the middle - and into each other - the reaction starts,\n",
"consuming both `A` and `B`,\n",
"until an equilibrium is reached in both diffusion and reactions."
]
},
{
"cell_type": "markdown",
"id": "0830bd78",
"metadata": {},
"source": [
"### TAGS : \"reactions 1D\", \"diffusion 1D\", \"quick-start\""
]
},
{
"cell_type": "code",
"execution_count": 1,
"id": "ad8c5806",
"metadata": {},
"outputs": [],
"source": [
"LAST_REVISED = \"Jan. 24, 2024\"\n",
"LIFE123_VERSION = \"1.0.0rc2\" # Library version this experiment is based on"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "9ae363d7",
"metadata": {},
"outputs": [],
"source": [
"#import set_path # Using MyBinder? Uncomment this before running the next cell!"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "01e3ecbd",
"metadata": {},
"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, BioSim1D, ChemData, UniformCompartment"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "73d0566f",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"OK\n"
]
}
],
"source": [
"check_version(LIFE123_VERSION)"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "096fd5b5",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": 5,
"id": "4630f12e-842a-4aa8-99d4-bc6259551cbd",
"metadata": {},
"outputs": [],
"source": [
"# Initialize the system\n",
"chem_data = ChemData(names=[\"A\", \"B\", \"C\"], diffusion_rates=[50., 50., 1.], # `A` and `B` diffuse fast; `C` diffuses slowly\n",
" plot_colors=[\"red\", \"blue\", \"purple\"]) # Color choice is a reminder that red + blue = purple"
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "ff6f3c2d-dda5-4e9f-8bfe-078e0101bad7",
"metadata": {},
"outputs": [],
"source": [
"bio = BioSim1D(n_bins=7, chem_data=chem_data)"
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "dc6bceaa-d222-4777-a94a-d0fff38bd803",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Number of reactions: 1 (at temp. 25 C)\n",
"0: A + B <-> C (kF = 20 / kR = 2 / delta_G = -5,708 / K = 10) | 1st order in all reactants & products\n",
"Set of chemicals involved in the above reactions: {\"B\" (blue), \"A\" (red), \"C\" (purple)}\n"
]
}
],
"source": [
"reactions = bio.get_reactions()\n",
"\n",
"# Reaction A + B <-> C , with 1st-order kinetics for each species; note that it's mostly in the forward direction\n",
"reactions.add_reaction(reactants=[\"A\", \"B\"], products=\"C\", forward_rate=20., reverse_rate=2.)\n",
"reactions.describe_reactions()"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "e1739506",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "markdown",
"id": "bef25a87",
"metadata": {},
"source": [
"# TIME 0 : Inject initial concentrations of `A` and `B` at opposite ends of the system"
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "39bc3720",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"SYSTEM STATE at Time t = 0:\n",
"7 bins and 3 chemical species:\n"
]
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"id": "9c16eb5d",
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""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"bio.visualize_system(title_prefix=\"Reaction-Diffusion A + B <-> C\") # Line curve view"
]
},
{
"cell_type": "code",
"execution_count": 11,
"id": "bb6d38b4-1084-45d9-970c-f91dd030c9cd",
"metadata": {},
"outputs": [
{
"data": {
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"config": {
"plotlyServerURL": "https://plot.ly"
},
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{
"colorbar": {
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"hovertemplate": "Conc.: %{z}
Bin number: %{x}
Chem: %{y}%{y}",
"texttemplate": "%{z:.2f}",
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"xgap": 3,
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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"bio.system_heatmap(title_prefix=\"Reaction-Diffusion A + B <-> C\")"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "c4618c1f-2562-40af-b247-0e2b22f9490d",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "markdown",
"id": "7e439d4a-76a1-4b46-b214-d20b0415dd3a",
"metadata": {},
"source": [
"## Enable History"
]
},
{
"cell_type": "code",
"execution_count": 12,
"id": "119b599d-d2c4-4aa2-8165-5990caf119ac",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"{0: {'A': 20.0, 'B': 0.0, 'C': 0.0},\n",
" 6: {'A': 0.0, 'B': 20.0, 'C': 0.0},\n",
" 3: {'A': 0.0, 'B': 0.0, 'C': 0.0}}"
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Let's take a peek at the current concentrations of all chemicals in the bins with the initial concentration injections,\n",
"# as well as at the bin in the very center\n",
"bio.selected_concentrations(bins=[0, 6, 3])"
]
},
{
"cell_type": "code",
"execution_count": 13,
"id": "e94c5e69-65b8-4d08-89d8-331005da7b03",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"History enabled for bins [0, 6, 3] and chemicals None (None means 'all')\n"
]
}
],
"source": [
"# Let's enable history for those same 3 bins\n",
"bio.enable_history(bins=[0, 6, 3], frequency=2, take_snapshot=True) # Taking a snapshot to include the current initial state in the history"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "a2a7f85e-4308-4aee-9081-d1effadc7f27",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"id": "f1a6569e-ef48-45dd-8eeb-f6e973fd9614",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "markdown",
"id": "d185e119",
"metadata": {
"tags": []
},
"source": [
"### First step : advance to time t=0.002"
]
},
{
"cell_type": "code",
"execution_count": 14,
"id": "56a56a54",
"metadata": {},
"outputs": [],
"source": [
"delta_t = 0.002 # This will be our time \"quantum\" for this experiment"
]
},
{
"cell_type": "code",
"execution_count": 15,
"id": "91fb40dd",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"SYSTEM STATE at Time t = 0.002:\n",
"7 bins and 3 chemical species:\n"
]
},
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" Species | \n",
" Diff rate | \n",
" Bin 0 | \n",
" Bin 1 | \n",
" Bin 2 | \n",
" Bin 3 | \n",
" Bin 4 | \n",
" Bin 5 | \n",
" Bin 6 | \n",
"
\n",
" \n",
" \n",
" \n",
" | 0 | \n",
" A | \n",
" 50.0 | \n",
" 18.0 | \n",
" 2.0 | \n",
" 0.0 | \n",
" 0.0 | \n",
" 0.0 | \n",
" 0.0 | \n",
" 0.0 | \n",
"
\n",
" \n",
" | 1 | \n",
" B | \n",
" 50.0 | \n",
" 0.0 | \n",
" 0.0 | \n",
" 0.0 | \n",
" 0.0 | \n",
" 0.0 | \n",
" 2.0 | \n",
" 18.0 | \n",
"
\n",
" \n",
" | 2 | \n",
" C | \n",
" 1.0 | \n",
" 0.0 | \n",
" 0.0 | \n",
" 0.0 | \n",
" 0.0 | \n",
" 0.0 | \n",
" 0.0 | \n",
" 0.0 | \n",
"
\n",
" \n",
"
\n",
"
"
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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"bio.visualize_system(title_prefix=\"Reaction-Diffusion A + B <-> C\") # Line curve view"
]
},
{
"cell_type": "code",
"execution_count": 18,
"id": "09176639-0684-4ddf-91ee-076759871b95",
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.plotly.v1+json": {
"config": {
"plotlyServerURL": "https://plot.ly"
},
"data": [
{
"colorbar": {
"title": {
"text": "Concentration"
}
},
"colorscale": [
[
0,
"rgb(254, 254, 253)"
],
[
0.09090909090909091,
"rgb(224, 224, 223)"
],
[
0.18181818181818182,
"rgb(197, 197, 195)"
],
[
0.2727272727272727,
"rgb(171, 171, 170)"
],
[
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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"bio.system_heatmap(title_prefix=\"Reaction-Diffusion A + B <-> C\")"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "09759091",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "markdown",
"id": "83833c08",
"metadata": {},
"source": [
"### Several more steps : advance to time t=0.016"
]
},
{
"cell_type": "code",
"execution_count": 19,
"id": "a8c8a4ce",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"SYSTEM STATE at Time t = 0.004:\n",
"[[16.4 3.4 0.2 0. 0. 0. 0. ]\n",
" [ 0. 0. 0. 0. 0.2 3.4 16.4]\n",
" [ 0. 0. 0. 0. 0. 0. 0. ]]\n",
"SYSTEM STATE at Time t = 0.006:\n",
"[[15.1 4.38 0.5 0.02 0. 0. 0. ]\n",
" [ 0. 0. 0. 0.02 0.5 4.38 15.1 ]\n",
" [ 0. 0. 0. 0. 0. 0. 0. ]]\n",
"SYSTEM STATE at Time t = 0.008:\n",
"[[1.4028e+01 5.0640e+00 8.4000e-01 6.5984e-02 2.0000e-03 0.0000e+00\n",
" 0.0000e+00]\n",
" [0.0000e+00 0.0000e+00 2.0000e-03 6.5984e-02 8.4000e-01 5.0640e+00\n",
" 1.4028e+01]\n",
" [0.0000e+00 0.0000e+00 0.0000e+00 1.6000e-05 0.0000e+00 0.0000e+00\n",
" 0.0000e+00]]\n",
"SYSTEM STATE at Time t = 0.01:\n",
"[[1.31316000e+01 5.53800000e+00 1.18493120e+00 1.36813108e-01\n",
" 8.13120000e-03 2.00000000e-04 0.00000000e+00]\n",
" [0.00000000e+00 2.00000000e-04 8.13120000e-03 1.36813108e-01\n",
" 1.18493120e+00 5.53800000e+00 1.31316000e+01]\n",
" [0.00000000e+00 0.00000000e+00 6.72320000e-05 1.90027530e-04\n",
" 6.72320000e-05 0.00000000e+00 0.00000000e+00]]\n",
"SYSTEM STATE at Time t = 0.012:\n",
"[[1.23722400e+01 5.86200882e+00 1.51504114e+00 2.28008774e-01\n",
" 1.98211433e-02 9.28816000e-04 2.00000000e-05]\n",
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" 4.52470702e-04 4.44384640e-05 0.00000000e+00]]\n",
"SYSTEM STATE at Time t = 0.014:\n",
"[[1.17212070e+01 6.07811756e+00 1.81983529e+00 3.33817478e-01\n",
" 3.75512896e-02 2.50955578e-03 1.00983808e-04]\n",
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" [9.98666893e-06 2.62777001e-04 1.65200869e-03 3.01131931e-03\n",
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"SYSTEM STATE at Time t = 0.016:\n",
"[[1.11568507e+01 6.21598919e+00 2.09433486e+00 4.48347321e-01\n",
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" [5.77983875e-05 8.74133777e-04 4.37882730e-03 7.45120113e-03\n",
" 4.37882730e-03 8.74133777e-04 5.77983875e-05]]\n"
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"source": [
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" bio.react_diffuse(time_step=delta_t, n_steps=1)\n",
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""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"bio.visualize_system(title_prefix=\"Reaction-Diffusion A + B <-> C\") # Line curve view"
]
},
{
"cell_type": "markdown",
"id": "48d3f6fe",
"metadata": {},
"source": [
"`A` is continuing to diffuse from the left. \n",
"`B` is continuing to diffuse from the right. \n",
"They're finally beginning to overlap in the middle bins!"
]
},
{
"cell_type": "code",
"execution_count": 22,
"id": "dc2f4c01",
"metadata": {},
"outputs": [
{
"data": {
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"config": {
"plotlyServerURL": "https://plot.ly"
},
"data": [
{
"colorbar": {
"title": {
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}
},
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],
"hovertemplate": "Conc.: %{z}
Bin number: %{x}
Chem: %{y}%{y}",
"texttemplate": "%{z:.2f}",
"type": "heatmap",
"xgap": 3,
"y": [
"A",
"B",
"C"
],
"ygap": 8,
"z": [
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]
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""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"bio.system_heatmap(title_prefix=\"Reaction-Diffusion A + B <-> C\")"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "4d5292fb",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "markdown",
"id": "2aba5573",
"metadata": {},
"source": [
"### Several groups of longer runs : advance to time t=0.096"
]
},
{
"cell_type": "code",
"execution_count": 23,
"id": "c63d3fa6",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"\n",
"\n",
"+ 10 steps later:\n",
"SYSTEM STATE at Time t = 0.036:\n",
"[[7.92576526 5.95824446 3.31917619 1.31581241 0.35918764 0.07038175\n",
" 0.01251229]\n",
" [0.01251229 0.07038175 0.35918764 1.31581241 3.31917619 5.95824446\n",
" 7.92576526]\n",
" [0.01555131 0.07914514 0.24409632 0.36133444 0.24409632 0.07914514\n",
" 0.01555131]]\n",
"\n",
"\n",
"+ 10 steps later:\n",
"SYSTEM STATE at Time t = 0.056:\n",
"[[6.29600683 5.06118233 3.15970431 1.44600532 0.47532616 0.12019317\n",
" 0.03045075]\n",
" [0.03045075 0.12019317 0.47532616 1.44600532 3.15970431 5.06118233\n",
" 6.29600683]\n",
" [0.07498099 0.28735559 0.78250579 1.12144639 0.78250579 0.28735559\n",
" 0.07498099]]\n",
"\n",
"\n",
"+ 10 steps later:\n",
"SYSTEM STATE at Time t = 0.076:\n",
"[[5.13609493 4.21433746 2.7454954 1.35328847 0.4992179 0.14748071\n",
" 0.04559633]\n",
" [0.04559633 0.14748071 0.4992179 1.35328847 2.7454954 4.21433746\n",
" 5.13609493]\n",
" [0.1615343 0.52706799 1.31954666 1.8421909 1.31954666 0.52706799\n",
" 0.1615343 ]]\n",
"\n",
"\n",
"+ 10 steps later:\n",
"SYSTEM STATE at Time t = 0.096:\n",
"[[4.2209458 3.50170661 2.34873485 1.23042685 0.50075376 0.16821567\n",
" 0.0606064 ]\n",
" [0.0606064 0.16821567 0.50075376 1.23042685 2.34873485 3.50170661\n",
" 4.2209458 ]\n",
" [0.25982593 0.75464804 1.76534285 2.40897641 1.76534285 0.75464804\n",
" 0.25982593]]\n"
]
}
],
"source": [
"# Now, do several group of longer runs\n",
"for _ in range(4):\n",
" print(\"\\n\\n+ 10 steps later:\")\n",
" bio.react_diffuse(time_step=delta_t, n_steps=10)\n",
" bio.describe_state(concise=True)"
]
},
{
"cell_type": "code",
"execution_count": 24,
"id": "39a02075",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"SYSTEM SNAPSHOT at time 0.096:\n"
]
},
{
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\n",
" \n",
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" | \n",
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" B | \n",
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\n",
" \n",
" \n",
" \n",
" | 0 | \n",
" 4.220946 | \n",
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\n",
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" A B C\n",
"0 4.220946 0.060606 0.259826\n",
"1 3.501707 0.168216 0.754648\n",
"2 2.348735 0.500754 1.765343\n",
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"5 0.168216 3.501707 0.754648\n",
"6 0.060606 4.220946 0.259826"
]
},
"execution_count": 24,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"bio.show_system_snapshot()"
]
},
{
"cell_type": "code",
"execution_count": 25,
"id": "cd065902-f6db-4640-b24d-46012dd5d94b",
"metadata": {},
"outputs": [
{
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]
},
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"`A` is continuing to diffuse from the left. \n",
"`B` is continuing to diffuse from the right. \n",
"The overlap of `A` and `B`, especially in the central bins, is by now extensive, and the reaction is proceeding in earnest. \n",
"Notice the continue symmetry about the center of the system"
]
},
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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"bio.system_heatmap(title_prefix=\"Reaction-Diffusion A + B <-> C\")"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "8c178803-d0fe-4c46-805d-0554a6a1b7b9",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "markdown",
"id": "f1cb800f",
"metadata": {},
"source": [
"### Advance to time t=0.336"
]
},
{
"cell_type": "code",
"execution_count": 27,
"id": "e6590e07",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"\n",
"\n",
"+++ 30 steps later:\n",
"SYSTEM STATE at Time t = 0.156:\n",
"[[2.39736516 2.05453684 1.50075745 0.92781069 0.48529917 0.22472198\n",
" 0.11560109]\n",
" [0.11560109 0.22472198 0.48529917 0.92781069 1.50075745 2.05453684\n",
" 2.39736516]\n",
" [0.57202182 1.29674075 2.59761288 3.36115673 2.59761288 1.29674075\n",
" 0.57202182]]\n",
"\n",
"\n",
"+++ 30 steps later:\n",
"SYSTEM STATE at Time t = 0.216:\n",
"[[1.43652347 1.28435794 1.02979899 0.73906751 0.47257834 0.28028088\n",
" 0.18445971]\n",
" [0.18445971 0.28028088 0.47257834 0.73906751 1.02979899 1.28435794\n",
" 1.43652347]\n",
" [0.8597085 1.64384498 2.94653088 3.67276444 2.94653088 1.64384498\n",
" 0.8597085 ]]\n",
"\n",
"\n",
"+++ 30 steps later:\n",
"SYSTEM STATE at Time t = 0.276:\n",
"[[0.94369275 0.88396666 0.77535511 0.63019458 0.46959173 0.33300009\n",
" 0.25664867]\n",
" [0.25664867 0.33300009 0.46959173 0.63019458 0.77535511 0.88396666\n",
" 0.94369275]\n",
" [1.09382006 1.85282552 3.05530325 3.70365274 3.05530325 1.85282552\n",
" 1.09382006]]\n",
"\n",
"\n",
"+++ 30 steps later:\n",
"SYSTEM STATE at Time t = 0.336:\n",
"[[0.69798039 0.68111864 0.64213556 0.57196145 0.47435422 0.37878712\n",
" 0.32097915]\n",
" [0.32097915 0.37878712 0.47435422 0.57196145 0.64213556 0.68111864\n",
" 0.69798039]\n",
" [1.27482053 1.97696102 3.05404907 3.62102222 3.05404907 1.97696102\n",
" 1.27482053]]\n"
]
}
],
"source": [
"# Continue the simulation\n",
"for _ in range(4):\n",
" print(\"\\n\\n+++ 30 steps later:\")\n",
" bio.react_diffuse(time_step=delta_t, n_steps=30)\n",
" bio.describe_state(concise=True)"
]
},
{
"cell_type": "code",
"execution_count": 28,
"id": "82f0c6aa",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"SYSTEM SNAPSHOT at time 0.336:\n"
]
},
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" A | \n",
" B | \n",
" C | \n",
"
\n",
" \n",
" \n",
" \n",
" | 0 | \n",
" 0.697980 | \n",
" 0.320979 | \n",
" 1.274821 | \n",
"
\n",
" \n",
" | 1 | \n",
" 0.681119 | \n",
" 0.378787 | \n",
" 1.976961 | \n",
"
\n",
" \n",
" | 2 | \n",
" 0.642136 | \n",
" 0.474354 | \n",
" 3.054049 | \n",
"
\n",
" \n",
" | 3 | \n",
" 0.571961 | \n",
" 0.571961 | \n",
" 3.621022 | \n",
"
\n",
" \n",
" | 4 | \n",
" 0.474354 | \n",
" 0.642136 | \n",
" 3.054049 | \n",
"
\n",
" \n",
" | 5 | \n",
" 0.378787 | \n",
" 0.681119 | \n",
" 1.976961 | \n",
"
\n",
" \n",
" | 6 | \n",
" 0.320979 | \n",
" 0.697980 | \n",
" 1.274821 | \n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" A B C\n",
"0 0.697980 0.320979 1.274821\n",
"1 0.681119 0.378787 1.976961\n",
"2 0.642136 0.474354 3.054049\n",
"3 0.571961 0.571961 3.621022\n",
"4 0.474354 0.642136 3.054049\n",
"5 0.378787 0.681119 1.976961\n",
"6 0.320979 0.697980 1.274821"
]
},
"execution_count": 28,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"bio.show_system_snapshot()"
]
},
{
"cell_type": "code",
"execution_count": 29,
"id": "5a6d6e59-56fe-4588-8d45-c696b99835fe",
"metadata": {},
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M5V/e563o3I9FP9ODHpYVeQCSl+9ZD5yG3VfmIU37kOdz0T6zHwQgAAEIQAACEIAABAYRQHSMERo0J5Psai/a7cV6ugpIbkL/+X//b6Ih2lk27VC8rCGC6WFh8RujfiJm1k1t1lx76aHV0qeiN8SDkqmf+GT7nBY2XIiOWVziQzJtRVdWzIZZvTpr5dlRh3nmsRwkKg4SJfvFqKxKR5eLEdj87DfnZlYfh5lXclAey9/zhuHK32wuWx9tDhUZ0tmv7by5AQfZz/tsxX2NC01ZOZQnxtm2swRYOeYP/u2/MovRlCk6ilgSz4e81auzqtbS/crqe1zwTk+zkO53enqIPD7p8/4w59ii5+1+3wdZeZbFLes8Gc//YT6HeZV+ZYiO4qNtL+2j9Ok733s8V8C3bPoNZS9yjsjaJ+v7vl8VrswhHRcCs/qU9xBkmH2zziH9Ptuj9p/jIAABCEAAAhCAAAQgkCaA6Bgj0k90jA+Zs8JZ3pxnaSEyPd+X3GSIMJm1mnF6gYP0TW96fjPrS95NbXrRgCxhZJgb4n4foX5zwOVVjbkQHcUna8f6JwLEK++4VckKu/Gb0qxFFNLxyrtJTMcmS+QoOsyzqCiQ3m+YYXbpY12Ijll+D7OoS9NOwUVWkx4kCg7T57y56vpVqA4ST6woHPcjXe2W/uxmzUGbXmQrHveyREfxOf25k/fSQtMwn7s0Y2ErIlV8RWppw87tme53ulosfe6RY9OfiWHPsUXO29JO3vdBXs6l9887T8rxaU5FKvXinxf7XVOW6JjVf9vvomJplr/DfF6z9i3yPSHH2bbzVnyP286b4iDrfNFvOoT0+azI1Anj8uB4CEAAAhCAAAQgAIFuE0B07Hb86T0EINBgAsNWuzW4q5W77np148o7QIMQgAAEIAABCEAAAhCAAARqJoDoWHMAaB4CEIDAqATGGW4/aptdOQ7RsSuRpp8QgAAEIAABCEAAAhCAQFkEEB3LIotdCEAAAiUScLGAT4nuNd40omPjQ0gHIAABCEAAAhCAAAQgAIGaCSA61hwAmocABCAAAQhAAAIQgAAEIAABCEAAAhCAQNsIIDq2LaL0BwIQgAAEIAABCEAAAhCAAAQgAAEIQAACNRNAdKw5ADQPAQhAAAIQgAAEIAABCEAAAhCAAAQgAIG2EUB0bFtE6Q8EIAABCEAAAhCAAAQgAAEIQAACEIAABGomgOhYcwBoHgIQgAAEIAABCEAAAhCAAAQgAAEIQAACbSOA6Ni2iNIfCEAAAhCAAAQgAAEIQAACEIAABCAAAQjUTADRseYA0DwEIAABCEAAAhCAAAQgAAEIQAACEIAABNpGANGxbRGlPxCAAAQgAAEIQAACEIAABCAAAQhAAAIQqJkAomPNAaB5CEAAAhCAAAQgAAEIQAACEIAABCAAAQi0jQCiY9siSn8gAAEIQAACEIAABCAAAQhAAAIQgAAEIFAzAUTHmgNA8xCAAAQgAAEIQAACEIAABCAAAQhAAAIQaBsBRMe2RZT+QAACEIAABCAAAQhAAAIQgAAEIAABCECgZgKIjjUHgOYhAAEIQAACEIAABCAAAQhAAAIQgAAEINA2AoiObYso/YEABCAAAQhAAAIQgAAEIAABCEAAAhCAQM0EEB1rDgDNQwACEIAABCAAAQhAAAIQgAAEIAABCECgbQQQHdsWUfoDAQhAAAIQgAAEIAABCEAAAhCAAAQgAIGaCSA61hwAmocABCAAAQhAAAIQgAAEIAABCEAAAhCAQNsIIDq2LaL0BwIQgAAEIAABCEAAAhCAAAQgAAEIQAACNRNAdKw5ADQPAQhAAAIQgAAEIAABCEAAAhCAAAQgAIG2EUB0bFtE6Q8EIAABCEAAAhCAAAQgAAEIQAACEIAABGomgOhYcwBoHgIQgAAEIAABCEAAAhCAAAQgAAEIQAACbSOA6Ni2iNIfCEAAAhCAAAQgAAEIQAACEIAABCAAAQjUTADRseYA0DwEIAABCEAAAhCAAAQgAAEIQAACEIAABNpGANGxbRGlPxCAAAQgAAEIQAACEIAABCAAAQhAAAIQqJkAomPNAaB5CEAAAhCAAAQgAAEIQAACEIAABCAAAQi0jQCiY9siSn8gAAEIQAACEIAABCAAAQhAAAIQgAAEIFAzAUTHmgNA8xCAAAQgAAEIQAACEIAABCAAAQhAAAIQaBsBRMe2RZT+QAACEIAABCAAAQhAAAIQgAAEIAABCECgZgKIjjUHgOYhAAEIQAACEIAABCAAAQhAAAIQgAAEINA2AoiObYso/YEABCAAAQhAAAIQgAAEIAABCEAAAhCAQM0EEB1rDgDNQwACEIAABCAAAQhAAAIQgAAEIAABCECgbQQQHdsWUfoDAQhAAAIQgAAEIAABCEAAAhCAAAQgAIGaCSA61hwAmocABCAAAQhAAAIQgAAEIAABCEAAAhCAQNsIIDq2LaL0BwIQgAAEIAABCEAAAhCAAAQgAAEIQAACNRNAdKw5ADQPAQhAAAIQgAAEIAABCEAAAhCAAAQgAIG2EUB0bFtE6Q8EIAABCEAAAhCAAAQgAAEIQAACEIAABGomgOhYcwBoHgIQgAAEIAABCEAAAhCAAAQgAAEIQAACbSOA6Ni2iNIfCEAAAhCAAAQgAAEIQAACEIAABCAAAQjUTADRseYA0DwEIAABCEAAAhCAAAQgAAEIQAACEIAABNpGANGxbRGlPxCAAAQgAAEIQAACEIAABCAAAQhAAAIQqJkAomPNAaB5CEAAAhCAAAQgAAEIQAACEIAABCAAAQi0jQCiY9siSn8gAAEIQAACEIAABCAAAQhAAAIQgAAEIFAzAUTHmgNA8xCAAAQgAAEIQAACEIAABCAAAQhAAAIQaBsBRMe2RZT+QAACEIAABCAAAQhAAAIQgAAEIAABCECgZgKIjjUHgOYhAAEIQAACEIAABCAAAQhAAAIQgAAEINA2AoiObYso/YEABCAAAQhAAAIQgAAEIAABCEAAAhCAQM0EEB1rDgDNQwACEIAABCAAAQhAAAIQgAAEIAABCECgbQQQHR1E9LlTlx1YwQQE/CWwbdO0ce785WV/ncQzCDggQK47gIiJRhAg1xsRJpx0QIBcdwARE40gQK43Ikw46YjA1XObHFnCTNkEEB0dEEZ0dAARE14T4CLG6/DgnEMC5LpDmJjymgC57nV4cM4hAXLdIUxMeU2AXPc6PDjnmACio2OgJZpDdHQAF9HRAURMeE2Aixivw4NzDgmQ6w5hYsprAuS61+HBOYcEyHWHMDHlNQFy3evw4JxjAoiOjoGWaA7R0QFcREcHEDHhNQEuYrwOD845JECuO4SJKa8JkOtehwfnHBIg1x3CxJTXBMh1r8ODc44JIDo6BlqiOURHB3ARHR1AxITXBLiI8To8OOeQALnuECamvCZArnsdHpxzSIBcdwgTU14TINe9Dg/OOSaA6OgYaInmEB0dwEV0dAARE14T4CLG6/DgnEMC5LpDmJjymgC57nV4cM4hAXLdIUxMeU2AXPc6PDjnmACio2OgJZpDdHQAF9HRAURMeE2Aixivw4NzDgmQ6w5hYsprAuS61+HBOYcEyHWHMDHlNQFy3evw4JxjAoiOjoGWaA7R0QFcREcHEDHhNQEuYrwOD845JECuO4SJKa8JkOtehwfnHBIg1x3CxJTXBMh1r8ODc44J+CQ6/sb7PqkOHtirPnjvOx33snxzR4/Pqze+7T711S9/Sh3Yt7uUBhEdHWBFdHQAERNeE+Aixuvw4JxDAuS6Q5iY8oLA4oUFde4nZ9TZJ+fVuSdP61f98xN5nTf+7bh5t9px0y79uktt1z/y7+037VQzW2e98B8nIDAuAc7r4xLk+KYQINebEin8dEGgStHxQw98QX3pj/404fb11+xXjzz0MfNeHaLj9x59Qt19z0fUQw/er+64/ZaRkSI6joyu2gMRHavlTWvVE+AipnrmtFgPAXK9Hu60Oh6BtdW1QFQMxUURFs/of8t7l45eGMn45gNbjQC5U0TJmBgp701MToxkk4MgUAcBzut1UKfNOgiQ63VQp826CFQlOt722l9VcYHR9leEyKv3z6l3vePNtYiOrrgjOroiWbIdRMeSAWO+dgJcxNQeAhyoiAC5XhFomhmJwMUj542QaARFqVb8cU9ozDM4NTOtRcOdYQVjr6Lxmtv2mUMOP3Y8qoA8F1ZAnn3yjFpZXM710VZD7nhBUCUZCJO71ZaD20bqFwdBoEwCnNfLpIttnwiQ6z5FA1/KJlCF6CjC4rf+5rGoojGvT7bSUf5uKyLzhMp4xWR8SPNdd79fvfWu16iHH/mGOnT4mGnqEx94tzqwf7epaLSbPSZLLExXZMrxd73hTpVVqfnY1z9vTCI6lp2pjuwjOjoCiRlvCXAR421ocMwxAXLdMVDMDU1gYf6KFhVP6apFqVY8bV6tuLh0aTHX3vbrd+rh0T1xcefNc6ZCcdv1OzKPGZTr5w+dNUOxrS/B8Owz6tyhM7k+bNg8Y4Zmixi53YiResi2eZ1Ts7s3Ds2CAyDggsCgXHfRBjYg4AMBct2HKOBDVQSqEB2lyvHeX/8VU83YbxPR8Zvf+YERCUXkk01ExFe9/LZonkcR/o4cPaE+8/H3mL8/8rVvq/d++NPKin+yv4iNVlS0f08P45ZjxUZaLEwLpPL3//Pf/T+mffnbf/vP/stozkbxN89OGfFjTkcHVBEdHUDEhNcEuIjxOjw455AAue4QJqZyCSxfWTICngh5wfyKgbh45sen1JVTl3OP27R3czDk+QVzgbhn5l8MxL3JmamhiI+a66uLKz0xNBzSLX5LXy6fuJTrw8a5TaHfQbVlMI+k9l8LpdMbNwzlOztDYBgCo+b6MG2wLwR8IECu+xAFfKiKQNmioxX1isyZmDWn42e/+BX13e8/nikQWkYiNN7za281QqWtdLQCZ1YFotiUSkiZSzL+d7Eni8EU8VX2FUHzwc89vM4OC8lUlb0jtIPoOAI0DmkUAS5iGhUunB2DALk+BjwOXUfg3FMiKIbiYiQwzqsLz57LpbVh64wZrixiYlAxuDP69+xOd9WCZeT6wpkrYYVmOOzbDP8O5pdcupBfpbn12u2xBW2CodoyJHz7jbvIKgiMTaCMXB/bKQxAoAQC5HoJUDHpLYEmiY520ZcsmLY6Mk90jAuJeWLh88dPmSHYtmoyqx1bSRn/m+zP8GpvUzzpGKJjQwKFmyMT4CJmZHQc2DAC5HrDAuaBu5ePXTSimvwEq0P35llcXV7N9HByajIQFcPhx8HciCIuzilZwKWKrepclwVtZKj2WVnsJhQjbYXn6koOp+nJaDXtoCoymD9Sfjbt31IFJtpoAYGqc70FyOhCQwmQ6w0NHG6PRKBs0VGcGmZ49cEDe6Oh1HJsvNLRio6DREGZ0zFd6ehCdJR+vP0tr4/8iw/tRnQcKf2qPwjRsXrmtFgtAS5iquVNa/URINfrY+9zy0vnFtXpcJ5FI5SF4qIMjV48t5Dr+tZrtkfiYnwlaBEc6958yvVgAZveittWjLxwOL8idGb7bGyIdk/A3aWF2w3bZ+rGS/seEfAp1z3CgistJECutzCodCmXQBWi46CFZERYzFu9Omt4db/hz+NUOgqkvOHVWYInomMDP1iIjg0MGi4PRYCLmKFwsXODCZDrDQ7emK6vLq0k5le0C6eI2CjVjHmbLJASDAfWFXjRPIWBCDa9yd+5CpuQ68uXl4L5LkOR90y0uva8kgV38japghTxMb6wjp1HcnLDcHNfjplWHO4BgSbkugeYcKEFBMj1FgSRLhQmUIXoKM5IlWB6JWor5NlFZgbN6Sh27ArS8WpHESZf/lMvVHfcfkvunI5FKh1lLkbx4dnnjkcrbduFZGQBmbQgKX2SjeHVhdOt/h0RHeuPAR6US4CLmHL5Yt0fAuS6P7Eoy5Pzz5wNVoSOqhX10Ogfn1bnn85flXlq43Qwr99Z3bMAACAASURBVGI4vDdaxEX/e9Pc5rJcLdVu03P98qlLieHsdni7vK5cWc5lt+0GPYz9BbKQjZ07Mlhhe9t12at8lxoEjFdCoOm5XgkkGmkFAXK9FWGkEwUJVCU6xgXDuGtxMbCI6JhnJ7569ajDq+0CMHYVbeun9VHEzQd+/w8j92UeSbtyNsOrCyZc3bshOtYdAdovmwAXMWUTxr4vBMh1XyIxnh+yArTMGyhzCJ6TOQTtIi5aXFxZyBekZOESUxFnfkSUCsQpWeikbVubc10W6jn7E70yuBWWzauumNQL++RtU7PTeuGe2Kra4RybMt+mrLzN1lwCbc715kYFz8sgQK6XQRWbvhKoUnT0lUFT/JpY01tTnPXVT0RHXyODX64IcBHjiiR2fCdArvseoZ5/y5eWEou3mAVKzCIup9WV+cu5Hdl81dZwLsBgdeig4i2odpvUC5d0ZetirsvCPlGVq4iSWpg2wqTOmUvPX8gN/cbdm8K5OYMFf+KL2kxv9ncIfVdyeVA/u5jrg5jw93YSINfbGVd6lU0A0bE5mYHo6CBWiI4OIGLCawJcxHgdHpxzSIBcdwjTgSl5LmpFIpnXT4bOBiLRvLp45HxuCzM7eouM7JB5FrW4aFeLntk268Cz5psg15MxXDy/EFRDytB7ESPt/JGyWNDZ/MWCthzcFgnXdgi+FbEnJiaanygt6AG53oIg0oVCBMj1QpjYqSUEEB2bE0hERwexQnR0ABETXhPgIsbr8OCcQwLkukOYQ5i6+Nz5SFwMhMVAXBQBaG01e0DGxIZJvViIFRPD13B47Ob9W4dovZu7kuvF437p2IVAhNTD8wMRPKioPa1f15ZWMw1NTE7krly+5eptxRtnz7EJkOtjI8RAQwiQ6w0JFG46IYDo6ARjJUYQHR1gRnR0ABETXhPgIsbr8OCcQwLkukOYKVMLp68YocaIila4CefaW7q4mNuwLPBhhrOGw1qDuRZ3qu037CrP2Q5YJtfdBPnc0yJChvOGGjEy+F0WLMrbNmyZCYb027lDdTWuqZLUr7O7NrpxDCsRAXKdZOgKAXK9K5Gmn0IA0bE5eYDo6CBWiI4OIGLCawJcxHgdHpxzSIBcHw/m6uKKXgk6JiraRVz0e5dPXso1vmnP5p4AEy7eEgxV3alkgQ829wTIdfdM4xZlwaJzWowMRPbeojYyTcCgz4KZazQutIsoqd+bnJkq1+mWWifXWxpYurWOALlOUnSJAKJjc6KN6OggVoiODiBiwmsCXMR4HR6cc0iAXC8G89whXc0VG2pqh0LL+3mbVHeZasXY4i1mvkUtrlDdVYy7y73IdZc0h7MlVb/RiurhHKUyj6RUSfar+t1+va7wNZ+Z4HNjftdTCsj7bPkEyHWyoysEyPWuRJp+CgFEx+bkAaKjg1ghOjqAiAmvCXAR43V4cM4hAXK9B/PS8YvB3HXhEOigWkuqts4oqWjM3PS6GTtvnouJi4FAIuLI1oPbHUYKU+MSINfHJVjO8ReOnIutsB0saiNi5JknTymVPb2pqYC0q2pHq7GHwuTmfVvKcbRBVsn1BgULV8ciQK6PhY+DG0YA0bE5AUN0dBArREcHEDHhNQEuYrwOD845JNC1XJcVe+0cdHbxFjvfYt8Ve/VCGHb4pwyDDlaH3mkER8WCvQ4zsjxTXcv18khWZFkLjiI8ms+rFiJl2Lb97MpCTHmbWcldPqOxCkn72e3KSu7kekU5SjO1EyDXaw8BDlRIANGxQthjNoXoOCZAORzR0QFETHhNgIsYr8ODcw4JtDHX11bWemJFWLl4xlQvzqtLz1/IpSdDnqVC0YiK4TyLVlyUodJszSbQxlxvdkRG916GZFsx0s4fGYiSp5UM5c7bNl+11QiSO2OL2tiHBxNT7Xl6QK6Pnlsc2SwC5Hqz4oW34xFAdByPX5VHIzo6oI3o6AAiJrwmwEWM1+HBOYcEmpzrFw6fC4ZDh4u3yIIu5nc9LDpvk0VaZLEWIyzeFIiLwTxxu5Us7sLWXgJNzvX2RsV9z2TRmmCItjxo0D/6fGAESb3IjSx2k7fJ+cAIkKlFbbZe07xpEsh193mFRT8JkOt+xgWvyiGA6KjUXXe/38B95KGPlQPZkVVERwcgER0dQMSE1wS4iPE6PDjnkIDvuX7l1OVQWAwEhDMyz2IoLi5fXsolsf0GmVtRL+JiF58I53vbdt0Oh/Qw1SQCvud6k1g21dfzz5wN5mnV55JAlJTfz6hzT5/O7dL0pg3RnK074w8q9Lll49wmL1GQ616GBadKIECulwAVk94S6Lro+L1Hn1C/94X/oJ597rj6yG+9S91x+y3exgrR0UFoEB0dQMSE1wS4iPE6PDjnkIAPuS7iYTRvm1m8pScIiOiYt8mCEUZUNIJib3XbXfq9iQ2TDilhqg0EfMj1NnBsYx/WllbV6XB4diRK2ikZ9AJTeZuIjvEHG0aUDOd7FbGyro1cr4s87VZNgFyvmjjt1Umg66Ljhx74gvrZn3qR+uu//5EJwwfvfWed4ejbNqKjg9AgOjqAiAmvCXAR43V4cM4hgSpzXYY5mlVp40Mf9Y2+DJPO22Thh/gQ6GBxiGCRCFkwgg0CRQlUmetFfWI//wnIAlN2sSnzGjt/ycJUeZsMyzbnqnAKBxm2LcO3ZRh32Ru5XjZh7PtCgFz3JRL4UQWBSkXHP/7jKrqU3cYv/3Lm+7e99lfVV7/8KfX88VPq/o9+1ush1oiODtIH0dEBREx4TYCLGK/Dg3MOCbjOdVmoRSqFZOGWc2GlkBEa9Sq0ssBL1jY5PRnMqxhbvGWH3JzrG3ZZ+IENAi4IuM51Fz5ho9kE7PnubLjCtl3URoZury6vZnZOFqyRVe+NABlWasvCNi7Pd+R6s/MK74sTINeLs2LP5hOoVHS87z6lHnigemjS5m/+5rp27dDqz3z8PeZvIkA+9OD93g6xRnR0kDqIjg4gYsJrAlzEeB0enHNIYJRcN5U/MheaXajBzIsWVDH2q/zZdu2OSFw0q0SbBRv0Qi437nLYI0xBIJvAKLkOSwiMSuDcU+E8tLHKSBEjzz97NtekVHZbMdJWSdrq7mEqu8n1UaPGcU0jQK43LWL4Ow6BykXHH/94HHdHO/b1r88UHe3Q6rvecKexK/+Wzdch1oiOo4U/cRSiowOImPCaABcxXocH5xwSyMv11cUVLSrqlaCNuBjOszjEHGfBPGfBKtEy56K8Tm2cdug5piAwHAHO68PxYu9yCKxcWQ5X09YLY4UPa4J5JOfVUHPYmkVtZKqJnWpyZirhLLleTuyw6h8Bct2/mOBReQQqFR3L68ZIlqWyMWt77OufH8le2QchOg4g/NkvfkU98Pt/GO316le+VNkyVvsmomPZaYr9uglwEVN3BGi/KgITZ66oUz88ro7+8GRvNdcf66HRh87kuiALJJgKxXBI4M5wnkWpXvR1NdeqeNKOvwQ4r/sbGzwLCIjoaFfVPhOurh1MU3FayYJbedv26/VQ7Rf0FtM68JI9au4l+9Tazo2ghUCrCXBeb3V46VyKQFdFRxlanTWHo89DrBEdB3x8f+N9n0yIjPLvgwf2JkpXER05B7adABcxbY9wt/t39C+fVYe//rQ68mdPqRPfez7/RjacZ1GqFG3lorzKAglsEGgaAc7rTYsY/sYJyIJbdhqLYN7csAJdi5N52947rlIHX3ejuua1N6gDP38tQCHQOgKc11sXUjrUh0BXRccsPUow+TzEGtFxyI+yVD5+9/uPJ4RIRMchIbJ74whwEdO4kOFwHwIXnj1nRMbDX39KHdGvMiej3aZnp9WBVx5UW2/cGVUu2tVWJ6cm4QqB1hDgvN6aUNKRGIHVldWwOlIqIvXcuroq8sJTZ9TR7xxRywvL0Z4yJ+RBLT5e89pAhNx6LQ+PSKTmE+C83vwY0oPiBLoqOhYn5M+eiI5DxuKuu9+vXvXy26h0HJIbuzebABcxzY4f3it15M+1yPhnuppRi4ynHj2eQLL7xXvU1fqm8+Av3qBectctSlZTPX+5d3MKPwi0kQDn9TZGlT5lEZBcX1tZUz985AnzXfCc/h6Y/4eTiV3nbt8XiJCvC74L2CDQRAKc15sYNXwelQCi46jkqj8O0bEgcxEbDx0+prLmdCxogt0gAAEIQKAiAvN6hdSf/MlP1JP/+Un15J88qZYu9ub/mtk6o276pZvUzb90s7r5n9ysdum5GNkgAAEIQKA7BE7rCkj7/SDfFYsXFqPOb9iyIfp+kO+K3S/Y3R0w9BQCEIAABCDgmACi45BAZaz8kaMnGF49JDd2bzYBnpw2O35d8H51eVVXMR7SP0+ZYdOnHz+V6PbcS/eZYXQHX3t93yoWcr0L2UIfhQC5Th50hUCRXJcKSPkOke+PUz9IVsPvunUu/P4IvkMmp5lqoyu507R+Fsn1pvUJfyGQR4BKx+bkBqLjkLGS1YLuvucjKr4cOXM6DgmR3RtHgIuYxoWsEw6f+cdT6lm9+IsMmT7y54fU6uJK1O9ZvUqpDJWTYXIyXK7oYi/keidSh04iOpIDHSIw7HldFqkx03EYIfJptXDmSkRrcmZKf6/oh1f6++VavSjNzhfOdYgkXfWdwLC57nt/8A8C/QggOjYnPxAdB8RKhlU/8tDHor1ktSDZPvPx90TvITo2J+HxdDQCXMSMxo2j3BJYubIcLABjhMZDZpGA+Lb3Zw4EQqOuRLn6568bqXFyfSRsHNRAAuR6A4OGyyMRGDfXn/vLZ8JK+qfVib89mvBhx827zXfONeGq2FMbp0fykYMg4ILAuLnuwgdsQKAqAoiOVZEevx3vREc7d2JW1+LVheN3vZgFERm/+Z0fRDtnzemI6FiMJXs1lwAXMc2NXdM9n3/sRLjKdDDsTa31erRpz+Zw9VGpZrxRbdq/ZezukutjI8RAQwiQ6w0JFG6OTcBlrl8+dtE8+JIHYFIFefnkpZ5/EyqaxkOm89h9296xfccABIYh4DLXh2mXfSFQBwFExzqoj9amV6KjCHwHD+xNrAw9WreqPQrRsVretFY9AS5iqmfe1RYXzy8EFSVyU6eHtp0/dDaBYv+dB9U1Zsj0jWrfK652jolcd44Ug54SINc9DQxuOSdQZq4f/+5zgQipv6+OfftIwvdt1+8w31cH9feVVEPObJt13jcMQiBOoMxchzQEfCOA6OhbRPL98Up0vO21v6oeevB+dcfttzSHoPYU0bFR4cLZEQhwETMCNA4pTODk3x2LKkeOfvOZxHGbD2xNVI5snNtU2O4oO5Lro1DjmCYSINebGDV8HoVAVbl+5dTlRGX+paMXEu4eePV1+vsseGi256f3j9IVjoFAXwJV5TphgIAPBBAdfYhCMR8QHYtx6rsXoqMDiJjwmgAXMV6Hp3HOLcxfUc9+/SfRHFkXnzufvDH7heuiObL2vuyqSvtHrleKm8ZqJECu1wifpislUFeun/j+89EcxEf/IvlAbcvV26I5iK997U1qdvfGSpnQWDsJ1JXr7aRJr3wngOjoe4R6/nklOsrw6re86dXqrjfc2RyC2lNEx0aFC2dHIMBFzAjQOCRB4PhfB0PQZJXp5791OPG3bdftMKuBBhPx36g2bJ+pjR65Xht6Gq6YALleMXCaq42AD7m+dG7RVEHa78HzzySnDrnqVddE34P7ftb91CG1wafhSgn4kOuVdpjGOk2gy6Jj1joodax/UjQBvRIdv/foE+r+j342sVp00Y7UuR+iY530absKAlzEVEG5XW1cOn7RzMto5mfUk+1fOnEx0UG7yvS1r7vJq8n2yfV25SG9ySdArpMdXSHgY67LImnP/lmv4j8ei817t0RVkDIf5OZ94y+S1pVYd72fPuZ612NC/8sj0HXR8Z5fe2tUrPehB76gjhw9oT7z8feUB3wMy16JjjKnY7/NV/UW0XGMDOTQRhDgIqYRYardyaN/9awRGaWa48TfHE34s/2mXdFcVjKh/vSmDbX7m+UAue5lWHCqBALkeglQMeklAd9zffnyUvDdGa6Kfe4npxMc9778QDS38YGfu9ZLxjjlBwHfc90PSnjRFgKIjj3R8ZGvfVs9+LmHvS3e80p0bOoHANGxqZHD76IEuIgpSqpb+108cj5atVOqGRdOX4kATGyYDFbtNJPm36B2vWhPI+CQ640IE046IECuO4CIiUYQaFqun/7RSf3d+rQZJSCrYq8trUacZ3dtDL5X9ferTEmy5eC2RsQAJ6sh0LRcr4YKrbSVQJWi4x//cX0Uf/mX17ctw6vjlY4yTeErXnaretc73lyfo31aRnR0EBZERwcQMeE1AS5ivA5Ppc4d+YbcCAVDpk/+/bFE2yIsShWj3AjJHI2TG6Yq9c1FY+S6C4rYaAIBcr0JUcJHFwSanOurSytmLmQzF6T+7hVBMr7t+an9vaHYr7nBBS5sNJhAk3O9wdhxvSYCVYqO992n1AMPVN9RafM3fzNbdDx0OHkfdu+v/wqiY9EQybyOd9/zkcTuDz14v7rj9luKmqh8P0THypHTYMUEuIipGLhHzZ17+nQkMsoNz+KFhcg7GSJtRcZrdOWFDKFu+kauNz2C+F+UALlelBT7NZ1Am3Jdhl4flgrIUISUodl2m9k6a76T7ZzJ229o/ndy03Ovav/blOtVs6O95hGoWnT88Y+rZ/T61+eLjvFKR/FMpir8xAfe7eWizF5VOspY9Pd++NPqq1/+lDqwb7eJ6tHj8+qNb7vPW4DiI6Jj9R9AWqyWABcx1fKus7W11bVgWJce0iXVjPM/PJFwZ/dte80NzbVSzahf27aR622LKP3JI0CukxtdIdDmXJfv6WeNAKm/r/XiNPFt90uC7+uDZij2DWpicqIrIe9sP9uc650NKh3PJVCl6OhbGNLDq8U/n4dYeyU6ZsETgL5PjIno6NvHEH9cE+AixjVRv+ydeeJUtACMVDOuLCxHDm7YPmMmsLdDprddt8Mv5x17Q647Boo5bwmQ696GBsccE+hKrp9/5mw0FFsWdFs6txiRnJqdDkYm6O9zed15y5xjypjzgUBXct0H1vhQPwFEx95CMr4X6nklOkpJaNZQajvkmtWr6/9w40E3CXAR0664i6hoV5mWVxEd49vel10ViIz6xuTAL1zXrs4P6A253qlwd7qz5Hqnw9+pznc114/+xTPRqtgnvv98IuYiOsZFSBEl2ZpPoKu53vzI0YNRCHRddEzP6ejr0GqJrVeiI5WOo3zcOAYC5RPgIqZ8xmW3IMOkZfhVMGz6kFpd6a2GuXFuUzT8SqogNh/YWrY73ton170NDY45JkCuOwaKOW8JkOtKXTp6Qc8F+VQ0fcqVU5ejeE1OTQZzQeph2DIcW4ZlszWTALnezLjh9WgEuiw6jkasvqO8Eh2Z07G+RKBlCPQjwEVM8/JDFnyxq0zLqywIE9/2veJqU814jb7J2H/nweZ1sCSPyfWSwGLWOwLkunchwaGSCJDr68Ee+/YRdVg/hJQFaY5/97nEDrIATXxBGlmghq0ZBMj1ZsQJL90QQHR0w7EKK16JjtJhVq+uIuy0AYHhCHARMxyvuvY++ffHgmpGLTIe+cbTCTc27d8SiIwyqbz+2bRnc11uet0uue51eHDOIQFy3SFMTHlNgFzvH57LJy+Zawe7KvblYxcTBxx8jVw3BKti7/mp/V7HuuvOketdz4Bu9R/RsTnx9k50bA66nqcsJNPEqOHzMAS4iBmGVnX7Lpy+EtwohCtNXzh8LtH41T9/XXSjsPdnDlTnWINbItcbHDxcH4oAuT4ULnZuMAFyfbjgnfjbo9EDzOf+8pnEwVuv2W7ERxklIa+zuzYOZ5y9SyVArpeKF+OeEUB09CwgfdxBdHQQK0RHBxAx4TUBLmL8Cc+Jvzlq5mWSasajf/XsupuBa16nbwTszcBObgaGjRy5Piwx9m8qAXK9qZHD72EJkOvDEuvtv3AmeLgp80Ef/rOnVfrh5oGfuzZakGbvy3m4OTppN0eS6244YqUZBBAdmxEn8dIL0VFWrZbVdt774U/3Jcfq1c1JLDxtFwEuYuqL56UTF3tDpvXcS5eOp4Y9GYHxej1s+kY199J99TnakpbJ9ZYEkm4MJECuD0TEDi0hQK67C+SpHxyPHnyKEBnfNu/bog7qaVzsUOzNe7e4axhLhQiQ64UwsVNLCCA6NieQXoiOzcGV7SmVjk2PIP4PIsBFzCBCbv/+/LcO66oCPS+jri449t0jCePbbtip52bUQ5u0yCgX9hu2zLhtvOPWyPWOJ0CHuk+udyjYHe8quV5OAixdXDSjLuyq2OefPpNoaP8rDpoh2Ad/8Xp11auuKccJrCavETdNm3+fv7wMGQi0ngCiY3NC7JXoKBWPDz14v7rj9lsSBGVV6wc/97B65KGPeUkW0dHLsOCUQwJcsDuEmWHq4nPne5O466HTC/NXor0mpibUtVI5oCsar9YX77tfvKdcZzpunVzveAJ0qPvkeoeC3fGukuvVJMD8P5xUz4VDsZ/VIzPWVtaihmd3bzQPS+1idluu3laNUx1rhVzvWMA73l1Ex+YkQCNER7uiNcOrm5NYeNouAlzEuI/n0W8+E60UefLvjiUa2PXCPdHwJKlmnJoJnlyzlU+AXC+fMS34QYBc9yMOeFE+AXK9fMbpFlYWl00VpJkPUr+e/seTiV32/PR+PWojECEPvPq66h1saYvkeksDS7cyCSA6NicxGiE6fvaLX1EPP/INKh2bk1d42jICXMSMH9Bzh85EQ6aP6MnYF88vREanZqfNkGkzDEmLjDtfMDd+g1gYiQC5PhI2DmogAXK9gUHD5ZEIkOsjYXN60Jkfn4pESFmQZmWhN/x3ZtusngsyvAbSQ7G3X7/TadtdMkaudyna9BXRsTk5ULvoaKsYByHLGnY96Jiq/s7w6qpI005dBLiIGZ782tpa9IRf5juaf+xEwsju2/aaIdN2bsaJyYnhG+EI5wTIdedIMegpAXLd08DglnMC5LpzpGMZXFuV66NgLkhZjCbr+sheG8nD2IkJro+KAifXi5JivzYQQHRU6q67368OHU6OmPNxdHDtomM84fPmdPT9Q4Ho6HuE8G9cAlzEFCN49sn56Em+zGe0ciX1JD9cZfpq/cqT/GJMq96LXK+aOO3VRYBcr4s87VZNgFyvmvhw7clIkOesCKlfEyNBNk4H81qHI0F23Lx7OOMd25tc71jAO97dLouOR4/Pqze+7T5176//inrXO94cZYKMEJYt/p4PaeKV6OgDkFF8QHQchRrHNIkAFzHZ0VpdXDFDpu3KjWf+8VRix70/fVV0oXz1f3F9k0LeWV/J9c6GvnMdJ9c7F/LOdphcb1bon/v/ZC7IYD7IE3/3fML5nS+cM9PRmEpIPRR7cmaqWZ0r2VtyvWTAmPeKQJdFx9943yfVwQN71QfvfadXMclzBtHRQZgQHR1AxITXBLiI6YXn9OOngiFB5ueQWl1ejf64cfcmM2Ra5mWUp/JbD273Oq44t54AuU5WdIUAud6VSNNPcr25OXDhyLloqhoZin1l/nLUmcnpyfB6SxakuVHtupX5sMn15uY6ng9PoErR8Ud//KPhHXR0xIt++UXrLDVthLBXoqMtE82Lj4/j08VXREdHnyjMeEugyxcxS5cWE5Ofn3vqdCJO+3726qia8cCrrvU2hjhWjECXc70YIfZqCwFyvS2RpB+DCJDrgwg15+9Hv/VsdE12/K+fSzi+/cZdiUX5NmyeaU7HHHlKrjsCiZlGEKhSdPxP9/0n9a0HvlU5lzc98Cb1qt98VaJdq5l99cufUgf2NWPKCa9ER5kI8613vUa9/KdeqO7/6Gej1aqlfPQtb3q1uusNd1Ye6CINIjoWocQ+TSbQtYuYU48eN0/WZYVFebIe3zbv2xKKjMFKi/JvtvYQ6Fqutydy9GRYAuT6sMTYv6kEyPWmRq6/35eOXwyrIPW1mr5mk3/HN7NY3+uCa7W52/e1E0KqV+R6J8JMJ0MCVYuO8z+er5z9ja+/cZ3oKE5Q6ThGKCy8q/bNqX9x38ci0VFWuI6LkGM0UcqhiI6lYMWoRwTafhGzeHYhEBn1kOnD+vXCs+cS9K961TV66E5w4SqVjWztJdD2XG9v5OjZsATI9WGJsX9TCZDrTY3ccH5L5WNwLfe0ev5bhxMHb712u7mOC1bFvkHN7JgdznhD9ibXGxIo3HRCoErR0YnDDo0wp+MYMOOKrfxuh1OL6Hj3PR+J/j1GE6UciuhYClaMekSgjRcxJ773fDA3o65mPPqXzyYvTvVcjHalRLlAnd210aNo4EqZBNqY62XywnZzCZDrzY0dng9HgFwfjlcb9l44fSWcfztYkEbmhoxvB37+WnXwdYEIufeOq9rQZdMHcr01oaQjBQh0WXS0+lh69epHvvZt9dyxk6xe3S9/RLF9xctuNZDiv8vS3w8/8o2o8rFADla6C6JjpbhprAYCbbiIuXLqcrTKtBmG8/yFBElZXdouACOrTrN1k0Abcr2bkaPXwxIg14clxv5NJUCuNzVy7vyWVbDl2k8WAJTVsePb5qu2mgfNdlXsjXOb3DVcsSVyvWLgNFcrgS6Ljha8FOrFt+uv2e+lZubVnI7prI1D9HmiTETHWs83NF4BgaZexBz7zpFoqI38Ht+2X79TXR2uMn3t625UG7Z2b8LxClKncU00NdcbBxqHaydArtceAhyoiAC5XhHohjSzdGFRPftneqSLFiGf0yLkuUNnEp7vf+XBaEod+b1JG7nepGjh67gEEB3HJVjd8V6LjtVhGK8lRMfx+HG0/wSachEj1Yt2ARgZOi3VjXabmJwwlYxmPh89ufju2/b6Dx4PKyfQlFyvHAwNto4Aud66kNKhHALkOqnRj8D8YyfMooFmyh0tQq6trkW7S9WjXDfaBWmkKtLnjVz3OTr45poAoqNrouXZLqFf+gAAIABJREFU80p0bNoqPDYsiI7lJSiW/SDg80WMzMco8zLKxaLM0xjfdrxgd/S0Wi4Yp2an/QCKF94S8DnXvYWGY40kQK43Mmw4PQIBcn0EaB09ZGVhWR3W15R2QZqzqdVqZf5H8/BaX1PKvJC+beS6bxHBnzIJIDqWSdetbURHBzwRHR1AxITXBHy6iJGVpWVlwuCJ9NNKVp6229TMdDQvo4iMO2+Z85orzvlHwKdc948OHrWJALnepmjSl34EyHXyY1QCZ544FYmQUgW5srgcmZIVsM1ckFIJqV9lhey6N3K97gjQfpUEEB2rpD1eW16JjrJ4zFve9Gp11xvuHK9XFR+N6FgxcJqrnEDdFzFm2Ev45PnUo8cT/d/94j16bsYbzJBpmZtxYmqicj402B4Cded6e0jSE98JkOu+Rwj/XBEg112R7LadtZW1YC5IfU36nH7oPf8PJxNA5m7fFy1II9ekdWzkeh3UabMuAoiOdZEfvl2vRMejx+fVv7jvY16uuNMPLaLj8InHEc0iUPVFzLmnTieeLC9dWoyAbdgyE1Uzisi47YadzYKJt14TqDrXvYaBc60mQK63Orx0LkaAXCcdyiBw/ukz0YI0UgW5dDF2rbq5d60qI2+237irDBfW2STXK8FMI54QQHT0JBAF3PBKdEwv+Z32/7Gvf75Al6rfBdGxeua0WC2Bsi9iVpdXzeTdR/SQaRk2ffrxU4kOzr10XzSR99Wvub7aztNapwiUneudgklnvSZArnsdHpxzSIBcdwgTU7kEnvvGIfPAXK5jT/0gOSpn161zwVyQ5ud6NTk9WQpJcr0UrBj1lACio6eByXDLK9GxOdiSniI6NjVy+F2UQBkXMWf+MZgnx8zN+OeH1OriSuTOzM7ZaJVpeUK89Zr658kpyor9mk2gjFxvNhG8bysBcr2tkaVfaQLkOjlRNYELh/X84zItULgq9uKZ3vzjkzNTekqg66OH6Ttf6G7+cXK96kjTXp0EEB3rpD9c216JjnmrVz/ytW+rBz/3sLfDrhEdh0s69m4eARcXMStXlhPDUM4+OZ8AsfdnDkRz4Rz4Of9WBGxe1PB4FAIucn2UdjkGAlUTINerJk57dREg1+siT7uWwNG/ejaaNujE3x5NgNlx8+7EtEFTG6dHBkeuj4yOAxtIANGxOUFrhOj4vUefUHff8xFVx/DqDz3wBfWlP/rTKKKvfuVL1Wc+/p5EhBEdm5PweDoagVEvYuYfOxGuMi1Dp59Wa2trkQOb9myOREYZcrJp/5bRnOMoCDgkMGquO3QBUxCohAC5XglmGvGAALnuQRBwISJw+dhFc21sF0i8fPJS9LeJiQlzbSxDsOV17rZ9Q5Ej14fCxc4NJ4Do2JwANkJ0/OwXv6IefuQbtVQ63nX3+xPtyr/fetdr1Lve8eYoyoiOzUl4PB2NQNGLmMXzC+pIuMq0DJk+d+hMosH9dx5U1+gV/a7RC8Dse8XVoznDURAokUDRXC/RBUxDoBIC5HolmGnEAwLkugdBwIVcAse/+5wWILUIqYdiH/v2kcR+26/faYZiGyHydTeomW2zfUmS6yRalwggOjYn2rWLjraKcRCyhx68X91x+y2Ddiv97yKAfvf7jyeqHREdS8dOAzUT6HcRc+L7z5sqxsP65+g3n0l4uvnA1mjOmoNabNw4t6nmntA8BPoT4IKdDOkKAXK9K5Gmn+Q6OdAUAldOXQ7mgQznPL909ELC9QOvvk5fV0sl5A1q78uuWtctcr0pkcZPFwQQHV1QrMZG7aJjvJt5czpWg6JYK7/xvk+qV7zsViodi+Fir5YQiF/ELMxfCYaFaJFRxMaLz51PXhD9gr4gel3+BVFLkNCNlhLggr2lgaVb3JySA50lwHm9s6FvfMejB/tahDz6F8kH+1uu3hZMU2R+blSzuzcqcr3xIacDQxBAdBwCVs27eiU61sxiYPNS5fjA7//hurklV2Pz1A00wg4QaBiBK2euqON/f1w9rQXGp776E/VMqppx5w071Y2/dJO6Wf/c9Es3q9kd/Yd+NKz7uNsxAhNqwvR4Tf/HBoE2EyDX2xxd+hYnQK6TD20gsHB2Qf3kT55UT/7JT9RT+ufM08kpjK7TVZA3vvEmdYMWIff91D61cefGNnSbPkAgl8CkngOVrRkEEB0LxklW0H7vhz+tvvrlT6kD+3YnjnpeV36xQaANBM49dUbN//CEOvXYcXXy0WPmd3kvvZmnqnpeRnmdu324Sa7bwIk+tJfA1k1TpnMXLq+0t5P0DAKaALlOGnSFALnelUh3q5+nHj1uRh2Z+SD1a3rbfuNOtfsle9We2/ebBWnkd3mPDQJtIXCVru5lawYB70RHWajl0OFjmfTqWL1aHMmrcLROMqdjM5IdL3sEVhaWlVyszP/wpJrXAqOsMn3qh8fVon6Kmt6mZqbVnpfuVVf/7EG1Vz9FlRX1pjdtACcEWkmAoUmtDCudyiBArpMWXSFArncl0t3t5/LlJT3l0SF1Qo9Geu6vj6iTPzihVhaX1wGZ0aOR5l6iBcjb9uofESL3mOKBqdnp7sKj540lwPDq5oTOK9FR5ks8eGCv+uC97/SGoPgk22c+/p5cnxAdvQkXjmQQkDkXbfWiiIvyc/pHJzNZbb5qq34aGl6IyKtcmLx4D3PEkFmdIcDNaWdC3fmOkuudT4HOACDXOxPqznc0nuvz/6ALC3RBQXDtf1yPYjqhLj2fXJjGAtv1oj2hELk3qoqUOSPZIOAzAURHn6OT9M0r0dG3hWSOHp9Xb3zbfZnRjK+mjejYnIRvs6drem7R07pyUYZGB1WMwUXG5ROXMrstTznt085desiFiI2b92/N3JcL9jZnDn2LEyDXyYeuECDXuxJp+kmukwNdITAo1y8du2DEx9PmHiEY5SSvWdumvZvDakh9j6CrIWWI9i5dGTnBPHpdSSfv+4no6H2IIgcRHR3ECtHRAURMDEXgyqnL+qLhmDr9mBYZQ3FRRMbV5dV1djbu3qQvEgJRUeZzmZO5XfTrxIbJwm0OuogpbIgdIeA5AXLd8wDhnjMC5LozlBjynAC57nmAcM8ZgVFyfW1p1dxLnArncrei5JX5y+v8mpyeNPcSMjRb7iV23aaHZ9+2X22c2+SsDxiCQFECiI5FSdW/n1eiowxlfsubXq3uesOd9ZMZwgNExyFgsevQBM48cSp8GqmfTMpTSV29eOHwuUw7O27ebYZHREOk9QXBtut2DN1m+oBRLmLGbhQDEKiBALleA3SarIUAuV4LdhqtgQC5XgN0mqyFgMtcP//M2WjUlAiRUhF59sn5zH5tvWZ7UAlpRlGJKLlX7bxlrhYGNNodAoiOzYm1V6Lj9x59Qt3/0c+qRx76WHMIak8RHRsVLm+dXbqwGMy7op822pWj5d/Ll5bW+Ty9eYMZ6mAqF8PhDvIFP7N1tpT+ubyIKcVBjELAEQFy3RFIzHhPgFz3PkQ46IgAue4IJGa8J1B2ri9dXDRTONnpnMyc8frfefcqZsGacAVteZXKyLLuVbwPDg46J4Do6BxpaQa9Eh1lTsd+W12rVw+ij+g4iBB/TxOQp4dSsWgqF8N5VXKfHl67PRrKsEdWmtNf4DtesLtSqGVfxFTaGRqDQB8C5Drp0RUC5HpXIk0/yXVyoCsE6sr1sz+eN+JjfMqnC88OGJVlRMigeMLFqKyuxJh+9gggOjYnG7wSHZuDLekpomNTI1e+36uLK4kv4HmZg1HPxbhw+sq6xuPzpERDpPXq0T7Mk1LXRUz5EaIFCCQJkOtkRFcIkOtdiTT9JNfJga4Q8CnXZf55WT3bDs2WxS3z5p+f3bXRzA25W1dCxueMnJyZ6kro6OcIBBAdR4BW0yGIjg7AIzo6gNgCE5ePXQy+WOUL1jztC4YfZG2b922JVoQzQw/CJ32+YvDpIsZXRvjVDgLkejviSC8GEyDXBzNij3YQINfbEUd6MZhAE3JdRnqZ6aTCKaVkAZvLJy5ldk5Wy57TBRjBlFKygvZetWn/lsEg2KMTBBAdmxNm70RHWUzmm9/5gSH40IP3qztuv0XJsOu3v+X16oP3vtNLsoiOXoalVKfkSZ35sSKjfr30/IXsL8xb58wXZSAs6pWj9evmA1tL9c+18SZcxLjuM/a6SYBc72bcu9hrcr2LUe9mn8n1bsa9i71uaq5fOnrBTDsVCZJSuPH4qcwQbr5qa7Bgpr63sqtn737xni6Gu/N9RnRsTgp4JTqK4HjwwF4jLt519/vVR37rXUZ0fORr31YPfu5hbxeYQXRsTsIP66kMg46GBojIGM5XIsOm09vMjlnzNG737cEXYbCC9F41NTs9bLPe7d/UixjvQOKQ9wTIde9DhIOOCJDrjkBixnsC5Lr3IcJBRwTalOsrC8umuENGkZ0OF6yRUWSLZxfW0ZJh2DLvvcwRGSyyGdyLybBttvYSQHRsTmy9Eh2lovGrX/6UOrBvd0J0lFWt777nI4qFZJqTWE309NxPTofDo2UltmOmkvH8obOZXdl+467wC02ERali3KO237Crid0u5HObLmIKdZidOkuAXO9s6DvXcXK9cyHvbIfJ9c6GvnMd70Kunzt0RheByGizYI7Ik7og5PzTZzJjve36HYEIebueLzIUI7ff1N77ta4lPKJjcyLulego1Y3/16fev050pNKxOQnVBE+XLy+ZORdlvkVTxh8Ok148v/7J2fTGDUHpvv6iEnFR5hSRasYN22ea0FVnPnbhIsYZLAw1mgC53ujw4fwQBMj1IWCxa6MJkOuNDh/OD0Ggq7m+dG7RzKUv93ciRsoq2qf14p3LV5bW0ZvZNmtGogUL1gSrZ8vr9KYNQ5BmVx8IIDr6EIViPnglOn72i19RDz/yDTOM2g6vvmrfnHrj2+5T9/76r6h3vePNxXpV8V4Mr64Y+BDNXTh8zoiKkbion4ydeSJ7jpAtV28Ln4YFXz7yZbTrRcwRIri7ehEzRKqxa0sIkOstCSTdGEiAXB+IiB1aQoBcb0kg6cZAAuR6EtHpH52MikuMIKnvCS8+dz6T464X7jGFJkFFpCxcs1dtvWb7QObsUB8BRMf62A/bsleiozhvh1LHO/KJD7xb3fWGO4ftW2X7IzpWhjq3odWVVVO5KE+3Tkaroh1XV05dXn/MhAqfagXzLsrKaFLFuHkvq6HlAeYipv4cx4NqCJDr1XCmlfoJkOv1xwAPqiFArlfDmVbqJ0CuD47B5ZOXzDRawYi3YJi2FKeotfXHbpzbFBvpFox6k/vGyanJwQ2xR+kEEB1LR+ysAe9ER2c9q9AQomOFsHVTWV8W8uRqbXX9t8Wmuc3BpMJSPh+b02NiSiuPbIUJcBFTGBU7NpwAud7wAOJ+YQLkemFU7NhwAuR6wwOI+4UJkOuFUSV2tMUrIkbK0GxZwOa0/rl86tI6gxOTE+HQ7N6ioSJGbtqzebTGOWpkAoiOI6Or/ECvRMcPPfAF9aU/+tN1C8bIAjNvf8vrzarWPm6IjuVFJV4WH6xgdjy3LH7nLXPBsGg7Pwdl8c4Cw0WMM5QY8pwAue55gHDPGQFy3RlKDHlOgFz3PEC454wAue4MpTGUmKbLVEXmT9O19eB2UwVp54hkmi63sciyhuhYPmNXLXglOso8jvf82lvXDaVmIRlX4fbXjp0A2AiLsadMK1eW1zkdnwBYTuzB8Oi9asPmbi3uUmU0uYipkjZt1UmAXK+TPm1XSYBcr5I2bdVJgFyvkz5tV0mAXC+fdtaCpDJf5NKFxXWNT22cTo62C9cMmNk+W76jHWgB0bE5QfZKdJSKxocevF/dcfstCYJ2nsfHvv55L8lS6ThcWM4dOhOsHi1PjMwiLyfUuadOZxrZdv2OWAl7UMa+/aZdwzXI3mMT4CJmbIQYaAgBcr0hgcLNsQmQ62MjxEBDCJDrDQkUbo5NgFwfG+HIBs795LS5pzWLl+ofmTNS7nmztu037jL3tGYF7duDBUy3X79z5La7eiCiY3Mi75XoSKVjcxKniKcrC8umDN1M0vtDERlP6kVejqnFswvrDp+cmYrmXAxK0+VEvE/N7tpYpCn2KZkAFzElA8a8NwTIdW9CgSMlEyDXSwaMeW8IkOvehAJHSiZArpcMeEjzC6evmHvgYMGacNEaXXCzuriyztLMjtnY0OzefJFTs9NDttqd3REdmxNrr0RHGUb93g9/Wn31y59SB/btNhSPHp9Xb3zbfcrnFaypdFTq0tELkbgoVYxGZHz8VOYnYfNVWyNR0czBKE959A+bvwS4iPE3NnjmlgC57pYn1vwlQK77Gxs8c0uAXHfLE2v+EiDX/Y1N3LP5fzhpqiGNEKnvmU/qe+fLxy5mOr/rVr1mgS7EmZOKSHnV986bD2xtRkdL9hLRsWTADs17JTpKv+xQ6ngfs4ZcO2QwtqmuiY5B2Xj4xMas8HVcXTqec6KUqkV9ggwWd9lvTpSb9m8ZmzkGqiXARUy1vGmtPgLken3sablaAuR6tbxprT4C5Hp97Gm5WgLkerW8XbZ26dgFfU99UhfxHAtGCkoBjx6inbVt3rdF31uLCLlX7bptj9qj77HlXrtrG6JjcyLunejYHHQ9T9sqOl45dblXEi7ioqlg1CXhy6vrwiTDoIOnMGHloj4RzukToQybZms+AS5imh9DelCMALlejBN7NZ8Aud78GNKDYgTI9WKc2Kv5BMj15scw3oO1pVU9NVlvjkipiJTKSBm2nd4mpyfN8Oxd4ShCO1XZxrlN7YIS6w2iY3NCi+joIFZtEB3P/njePFWxJzYRFy88ey6Tzo6bd0crcclTFpmDkclvHSSSxya4iPE4OLjmlAC57hQnxjwmQK57HBxcc0qAXHeKE2MeEyDXPQ6OQ9fOP3PWLFgji7KekkVZtRgpC9lkbVuv3W4qIudu1yMOZUozLUrueEEwjV3TN0TH5kTQO9FRFpM5dPhYJkFWrx4/sZYuLgYrR+tybTNM2gyPPqHk/fS2YfOMKdk2JyqpXJQybn2i2rB1ZnxHsNAoAlzENCpcODsGAXJ9DHgc2igC5HqjwoWzYxAg18eAx6GNIkCuNypcTp1dvLBgFm2Ve/uTj+oh2vpV/r10KeMef8uMuac36yqYKdDCe3z9fpM2RMfmRMsr0fE33vdJdfDAXvXBe9/ZHILaU18rHeUpSCAq6lWzzPDoE+rsk/OZbLdeEzwF2a0nqbVPQXbeMteoOOBseQS4iCmPLZb9IkCu+xUPvCmPALleHlss+0WAXPcrHnhTHgFyvTy2TbV85olT4RyRvanSLhzOHs248wVzpuAo0AKCOSO3XbfD264jOnobmnWOeSU63vbaX1W+LxqTFdq6RcfVpRUtLgarYEn14qlwJayF+fXzPUxMTYRPMwJx0VQy6pPKprnNzclaPK2cABcxlSOnwZoIkOs1gafZygmQ65Ujp8GaCJDrNYGn2coJkOuVI29kg3bdBilICoZnB5WRaytr6/ozuztYt2GPWT3bipF71OSG+tdtQHRsTvohOjqIVZWio6wSHQyPDoZFy8pW8pq1bdq7OXpKIZPJylwOcrJQEw46jYlOEeAiplPh7nRnyfVOh79TnSfXOxXuTneWXO90+DvVeXK9U+F22tm1tbVo+jXRGoLh2SfUpRMXM9sxw7K1GGmGaZuffUpW1a5yQ3SskvZ4bXklOsrw6re86dXqrjfcOV6vKj66LNFx/h9kXoZAVBSRUVasuvT8hcze7XpRMPfibr16tJmXQf++5eptFZOgubYS4CKmrZGlX2kC5Do50RUC5HpXIk0/yXVyoCsEyPWuRLq6fl46eiEcSak1CV0ZacTIH53MdGDLgW1afBRNIhQj5fXFe0pzFtGxNLTODXslOn7v0SfU/R/9rHrkoY8572iZBscVHRfPLEQVi2ZxF/NzUq0sLq9ze2bHbOypgoiLet4FXe48NTtdZhex3XECXMR0PAE61H1yvUPB7nhXyfWOJ0CHuk+udyjYHe8qud7xBKio+ysLy6Yo6mS4gnbw+zG1dG79ojWTM1O6IEpGXIpuYcXIvWp258axvUV0HBthZQa8Eh1lTsd+WxtWrz731GlTsSirRwfi4gl17tCZzG5vu2Gn+ZBKuXKwerSezFW/xwaBqglwEVM1cdqriwC5Xhd52q2aALleNXHaq4sAuV4XedqtmgC5XjVx2osTOPf0aVM4ZdeZkN/lvaxt+/U7o2HZwQrae9X2G3cNBRTRcShcte7slehYK4kxGs+qdFy+vNRbKco8BThpSpMXzy+sa0mqFOXDtkcLi7vCeRFkjgSpamSDgA8EuIjxIQr4UAUBcr0KyrThAwFy3Yco4EMVBMj1KijThg8EyHUfooAPcQJS/ShVkGa6uLA6Un6Xasn0NrN9NlysJiy60tPFmRGdG7NHdCI6NifXEB0dxOqJvw8mWw1Wjg6qF8/846lMyzLPosy3aOZd1ALjLpmH8dby5jpw0D1MQEBxEUMSdIUAud6VSNNPcp0c6AoBcr0rkaaf5Do50BQCMi+k6Ca2MEt+l/kjs7adL5yLtBPRUHbp6eW2HtyuEB2bEm29jrFeqWj92ug1+i/zOt59z0cSHjz04P3qjttvqdGr/KZ/d//vqot6Ren0NjExYT4QVlwMXvcpWVGaDQJNI8BFTNMihr+jEiDXRyXHcU0jQK43LWL4OyoBcn1UchzXNALketMihr9xArJStlRDmmIuPR2dESX1lHRZctWmPZvV+068F4ANIeCV6PjI176t3vvhT6uvfvlT6sC+3Qbh0ePz6o1vu0994gPv9nJV69+Z+B21cW5TMDGqrBwtlYvh6tGT05MNSQPchEB/AlzEkCFdIUCudyXS9JNcJwe6QoBc70qk6Se5Tg60jcDaylooQh7TC+9qQdKsoH1crS6vqv/pzG+1rbut7Y9XouNdd79f3fNrb10nLooY+eDnHvZyVeszehGYS1uZe7G1nxA6ZghwEUMidIUAud6VSNNPcp0c6AoBcr0rkaaf5Do50CUCDK9uTrS9Eh1l9eqsodR2yHUbVq9uTmrgKQR6BLiIIRu6QoBc70qk6Se5Tg50hQC53pVI009ynRzoEgFEx+ZE2yvRsYmVjhLqrNWrm5MCeAqBwQS4iBnMiD3aQYBcb0cc6cVgAuT6YEbs0Q4C5Ho74kgvBhMg1wczYo/2EEB0bE4svRIdmzinI6Jjc5IdT0cnwEXM6Ow4slkEyPVmxQtvRydAro/OjiObRYBcb1a88HZ0AuT66Ow4snkEEB2bEzOvREfB1rTVqxEdm5PseDo6AS5iRmfHkc0iQK43K154OzoBcn10dhzZLALkerPihbejEyDXR2fHkc0jgOjYnJh5Jzo2B13PU4ZXNzFq+DwMAS5ihqHFvk0mQK43OXr4PgwBcn0YWuzbZALkepOjh+/DECDXh6HFvk0ngOjYnAh6JTp+6IEvqC/90Z+q9IIxssDM29/yevXBe9/pJVlERy/DglMOCXAR4xAmprwmQK57HR6cc0iAXHcIE1NeEyDXvQ4PzjkkQK47hIkp7wkgOnofoshBr0RHFpJpTuLgabcIcBHTrXh3ubfkepej362+k+vdineXe0uudzn63eo7ud6teHe9t4iOzckAr0RHqWh86MH71R2335IgaOd5TFdAVolZFrl58HMPq0ce+ti6Zql0rDIStFUHAS5i6qBOm3UQINfroE6bdRAg1+ugTpt1ECDX66BOm3UQINfroE6bdRFAdKyL/PDteiU6+ljpGF/Y5vpr9iM6Dp9jHNECAlzEtCCIdKEQAXK9ECZ2agEBcr0FQaQLhQiQ64UwsVMLCJDrLQgiXShMANGxMKrad/RKdJRqwvd++NPqq1/+lDqwb7eBc/T4vHrj2+5Tn/jAu9Vdb7izNmBUOtaGnoY9IMBFjAdBwIVKCJDrlWCmEQ8IkOseBAEXKiFArleCmUY8IECuexAEXKiMAKJjZajHbsgr0VF6E68stL3LGnI9ds+HNIDoOCQwdm8VAS5iWhVOOtOHALlOenSFALnelUjTT3KdHOgKAXK9K5Gmn0IA0bE5eeCd6Ogrun6i4/LKqq9u4xcEnBCYnJgwdlbX1pzYwwgEfCVArvsaGfxyTYBcd00Ue74SINd9jQx+uSZArrsmij2fCUxPTfrsHr7FCCA6FkyHfqLj8TMLBa2wGwSaSWDLxinj+MUrK83sAF5DoCABcr0gKHZrPAFyvfEhpAMFCZDrBUGxW+MJkOuNDyEdGILAvp2zQ+zNrnUSQHQsSJ/h1QVBsVsrCTBco5VhpVMZBMh10qIrBMj1rkSafpLr5EBXCJDrXYk0/RQCDK9uTh4gOhaMFaJjQVDs1koCXMS0Mqx0CtGRHOgwAc7rHQ5+x7pOrncs4B3uLrne4eB3sOuIjs0JOqLjgFhlLWxz76//inrXO94cHfncqcvNiTieQmAEAlzEjACNQxpJgFxvZNhwegQC5PoI0DikkQTI9UaGDadHIECujwCNQxpLANGxOaFDdHQQK0RHBxAx4TUBLmK8Dg/OOSRArjuEiSmvCZDrXocH5xwSINcdwsSU1wTIda/Dg3OOCSA6OgZaojlERwdwER0dQMSE1wS4iPE6PDjnkAC57hAmprwmQK57HR6cc0iAXHcIE1NeEyDXvQ4PzjkmgOjoGGiJ5hAdHcBFdHQAERNeE+Aixuvw4JxDAuS6Q5iY8poAue51eHDOIQFy3SFMTHlNgFz3Ojw455gAoqNjoCWaQ3R0ABfR0QFETHhNgIsYr8ODcw4JkOsOYWLKawLkutfhwTmHBMh1hzAx5TUBct3r8OCcYwKIjo6BlmgO0dEBXERHBxAx4TUBLmK8Dg/OOSRArjuEiSmvCZDrXocH5xwSINcdwsSU1wTIda/Dg3OOCSA6OgZaojlERwdwER0dQMSE1wS4iPE6PDjnkAC57hAmprwmQK57HR5R2EUaAAAgAElEQVScc0iAXHcIE1NeEyDXvQ4PzjkmgOjoGGiJ5hAdHcBFdHQAERNeE+Aixuvw4JxDAuS6Q5iY8poAue51eHDOIQFy3SFMTHlNgFz3Ojw455gAoqNjoCWaQ3R0ABfR0QFETHhNgIsYr8ODcw4JkOsOYWLKawLkutfhwTmHBMh1hzAx5TUBct3r8OCcYwKIjo6BlmgO0dEBXERHBxAx4TUBLmK8Dg/OOSRArjuEiSmvCZDrXocH5xwSINcdwsSU1wTIda/Dg3OOCSA6OgZaojlEx3Hhvv716vwrf0GpiYnoZ21yMvHv+N/0H1Tfv6ft6P3l/4SNcJ81eU23ZfaP+ZK1T+zvsu+aPWYyeew6O+a4/L4Zf/r4FP3d9ieDk9kn3oe8fRJ9WO/TWppZ3E5ov+dPrN/j5kNLj+cipqWBpVvrCJDrJEVXCJDrXYk0/STXyYGuECDXi0V6dVWptbXgR98IB7/Lr/Z3/ZrcR98vx/4W/a6PsftFdrL2E3vxtvL2WdX3pDn+RG3GfF/nU7wPufvl9CXHJ/EnYpFiFGcY5xW8LxpDinGKa9z/eL/X21pvRyL98f91Q7GAs1ftBBAdxw2BEcnYWkMgJk5GomRKyI0LvevEzUgM7QmhmeJmXJwVITolBCdE5lAMzvUntNXXhvRB963vPpLKsk+6v9r+9LTuj/7bkgpe1eSUUlNTgYCuX4P39LH2d/mb/C4itbwO2FfsRbZCG2umjZjdmL14O6bd9L7y79C3xL7anzWxadswrxn7hu/F9zU+2v61JuHpSJoAF+zkRFcIkOtdiTT9JNe7kQMiVKyuKLUir/pnRf++ujIR/B6+Z/4u79v37O92Xy2K2L/n7xvYjNqw7YoNe3xkN7mv2F4L2463E/gzYdo2f7d+ikgT8znoX9in+L6hP5P6Gl5sLS2vrRPJJAsCMSdfdIoEphxxKS7SrROG1glMgS9ZYp0RmGJtZO2XFvGEbdqWvrFZ915aIMsSA7vxiWh/L00+sjWCAKLjuGH61/9anb+0lDgLTuSdYWNn6r77hGdUs0/6rBw72+rgBe1mPq4J/pa5T+qMbZ5DGDs5jzjidsyx2d8gUVs5PvX+Hn7LZHAy+8S/HfL2SfRhvT8T6cdVcZ9C+wl/o0c14yYEx3eCQKaoqlXbmIiZEGBjwqYIqUZgDYXbSKwNRdWESCr7xoTbnrCbJZSGdkORd9C+iXYj4TZlVwRt21crMBvhNhCSI2HX9C/svxWY0/0L+xz0L7Zvn/4Z0TcStmPCdIkPe7g57cQnmE5qAuQ6adAVAlXkulxGZgtKMdErJnCZfcNjAvFJ7xcTzOR3K2qJYJYQomKiU09ciwleCREstBsX1xKinBXgQnGsjyjX61/BfU3/AiHNCoLrRblAEAz6F9vXioZhX6xIGPgQ7GfsxkS5ruQz/RyfQMYAuHUDC5P76HvqrAGB2hW7X0bNRnSM2Ufczh9UqO0EbUT7yK9Z+/cZUBkN9Ou3j75J7lfrsu5vcVs5PoW1LSm7powl0acBg0GD42NM076kB0N+8mPT4ycDFiohgOjoADNzOjqA6IuJmMgZiZLrHrX1RM5McdMKp6GtTHEzLhhLbWFmzX5SDM71JxRU+9oIH1323ScUaicyROVNG/Q3ju7PlcuLvStHfbVnhPHoanJVTUSPj/XfUo9r++0rV9rR30MbE7Grb2MrZm/gvrGr9bhPclU7IVe3to3gMXh0ZR/tG74X39f4aPvnS7521Q9bWZsQNuNVt3mVs1YoDatjM6php6ZFUJ1Wy0Zs1RczGzaoNf2jpvXrdPhvedU/9v3e7/o98zd7jPxbH7sh9b7YNLZDG/p3YyvjffOe2DDtxWyXKLx2Na261u8qhJiuMe1qf+UyZFk/f19altcJtSyv+mdJv7esv2LN3/T78hVq3uvzvthYMcf27Fjb5v1l/b4cb34PbZn2JoztYB/bZnjpsDJp/JDqr6wqtuBSplc9Fq9iiwuJ66rnrJgWinhdjb8v/Y6e5yaeV64Fzy6TA3V67/Wen+pnwXpf+/w4+Ww4OD7aN7Bpn4nGB/ZExw/aN3nJEvqzZp7nJp7FykCl2HPeYGBP2Kf4vqE/WzZNGVtXlvQ1a67AlS86ReJRnuAVimKZ4lFKYJrQN0l5IlN89rC++8T6kDULmL6BSg4OyxDIsoQ+X3IWP8YjwJyO4/Gr8mhERwe0ER0dQMSE1wS4OU2FRwTXdaJqckxNQoBNlSwY0TQ2XiYuqiZEUi2QGhE4eqRvhd0soVT/LSqLCP4e2MreN/p7QuRN7RuWYawXbuOlECIYx8YUWTE63b+wz4GtXnlHv/4Z0TdWxhH1j/EUQQWqETRFlNR3HuuEztT7kaAZiqeRgGoFzfC1yPumzbjwasXVlI24aGuE1VC0XSfmav+tuCp3XGyVEOC8XgnmRCNy+rNi3IqIZClxLBDktKgWCXXB6d+8L2KbFfJCUS8Q47SYF3u/J7z1xLlem0nRLmkvFO1iwmAgAAbvWyGxJwD23hcfu76FAwMCwSghKMVEr5jAZcSlXtG/qXKKzRQTn/nF2EsOCuiJTrHBANmCmQg/ycEJCcEsEtJCISuxb0JoCwY4BP0LRbe43ax9Tf8CIc0KgutFuYBX0L/YvpminPUh2M8OnLA+dz0Hpf+c18mCLhFAdGxOtBEdHcQK0dEBREx4TYCLGK/D0z3nwjKUoBrWCqw5AmWmqCoCbYYYq/fdvEHfJek7+MsXFtREWE4zEZbmTIR36OZV/9j3e7/r98zfloK/6Z+JsOzG/Fv/Puz7xkZQJqRfAyXC2Gir8CqLm0WVpTExUt6LKkK1gLlO0AwrSou8b6tWo2rVdHVqvKJ1iKrVqCI1qIxNVKeKSOtZdaqv53XzrCOqVguFtkRF2/qquYHVcTHRLqrIs4KfFe3WCYChaLdOABz8vhXpgo99T1xs8cfWpLw8V5iaXpNnCJL+wWvwTET/HghF4cd76PcD29LGmv14mfbCj5puL2g3LCKPva/U9q2Tpj2p/ooLYLEpqY3glZqmOhK2coVEK6aFVWbd+zKmx74R8PW87hsn/GkHAUTH5sQR0dFBrBAdHUDEhNcEuIjxOjw455BAY3JdKkqzxMhI6BRxMhinmBQ6RbzsjX1MCquhaJoQOuMCq/zdCqDZ7xsB1oqzYflVT7QNSqjWi7mx99tcMiUi5zDVqYn9s4f024pTWym6PDmjFiY3qQU1qxYmZtXixMbgdU2/b1/VjFpcndG+bNSLg21QF1am1PLEjFrWvy/q16U1Pb3AxLR+3WB+X1Hy+5RaWtXvr+phqolqu/5DXftVx4X6vKn2S1fTOfxIe2VKRC4rxhlxLiGaBYJc/H3zbyvUidhmhbwgHUKhT4t5Bd7vCXI90S5pLxTt1gmD699Pi4u+Fyg35rzuVbbiTBMJkOtNjBo+j0oA0XFUctUfh+jogDmiowOImPCaABcxXocH5xwSINcdwhzFlCxcZitLzdjTntDZE1D1e3FBMxJWU+9LVWg48Vtm1WpUrRqrTo2LpjlVq6uLK2pheVItLk7oH6UW9e9LS/rf8p7+WdC/L2ghb0l+X55Wi3o+ucUV/arFPhED7Wv89/TfRt1nVemSqxZsG6ZWg8o1XX02LT+2is0IYiKaTQSVbPI6I78HP+lquqg6zlTeBaKdrchbJ9qtEwBDMc8eEwmAoWgXVfBZYbD3vq30C9roiYueFbu2IFOKdYHzejFO7NV8AuR682NID4oTQHQszqruPREdHUQA0dEBREx4TYCLGK/Dg3MOCZDrDmGOYcrOY7e4oIU9XVy5uBDMa7dgXvV7+nVBC35LIvpZ8S/894L8W/bT/x64T8pmsq1AVOzZCf7tczHm9OSqmpla1j8ranZSv8rP1JL+fUnNTCyHr/rfE4vB72uLatr86JpH/bphdcH8e8Oqlj1Xr6jpFfn9itqwsqBmVi6raf2+rn80P7ruceTfBx0/UurIPKczs/pHq4PmVVdz6lc1q1836J9Z/Xv4aobw639H75t9w/2j32d6duTYfvsYWymbpq2gbVOuyFYbAc7rtaGn4YoJkOsVA6e5WgkgOtaKf6jGER2HwpW9M6KjA4iY8JoAFzFehwfnHBLoUq7L1Jgi5MWFPSu6iZCXKdppMS/YJy3IJcU/UwFoxb8RhD0pMvR1E/1I609av1oTPUt0LPPv2dlgGKroXKHuZSrvjNYVvj+rj7H7yzEz4b8jO0Yjy99HbKdtBm31hsAW5TZSrsuwfp0YE6GaO6FVYPm3qMFSoSr/FsV3QieA/IhKOxH+2/wu+5n3B+yTtmnatG3FbYod3a6ozF6rwXpo/YiCqIihgeAZFz5jgqjYDRPICKtZoqm8FxNdA/E1FERlIsOWbyPlesuZ0L12EiDX2xlXepVNANGxOZmB6OggVoiODiBiwmsCXMR4HR6cc0jAda7LwhFRhV6sIi8S5QL9JdwnWA12UBVfUN2XrPpLV+hZO4l2wuOWtB+iGcn0jL5uooPEhb1AbDPFaUZ0yxL2gv1jol2G+Ldun1AwjIt/vbbSIqJut0VFa65zvfZcEkFUxMx1gqgWKUPRsq/YGQqkCQHVip2RgBoInpn7hB/0ZFuhICoKv6ebqdAMBdGesBl8eIxQGlaE9q0YDStLB1eDmg9onwrTsFLVtuloPHrrct3TXMKt+gmQ6/XHAA+qI4DoWB3rcVtCdByXoD4e0dEBREx4TYCLGK/D03nn8obiWsEtq2Iv/p4M1w2G7eoFhtf0/Hu6iu/CpdXCwl6gcYTz+6WEPWnH103u500Rla6Ss5V58Qq9sLAq2EdX3wX72iq+9VV90T4pIS8s1ApsJITArOrAoB2ZC4+tXAKc18vlm7Auc4UOEkTXCZzrq0GDytGg6lNKkW31Z1xojfYRcdRWl9oqVCu+htWqRkD1eEntoMozECLjgmg0hL6gIDqzeaOp7FzQCySZ4e7hcPiefVtJKu3Eq0jDKtPE8HyGzFf4yaGpIQlwXh8SGLs3mgCiY3PCh+joIFaIjg4gYsJrAlzEeB2e0p2TIp1gbrugQs5U2kXz7IViW6paL1PoC49ZDOfkM9V44TDcuM2s9+LCYJPm2JPgBENvg+G4PQGupOG5mcN8A4EwHHkZDQuWBTXYukuA83p3Yx/vuVm4yQx3D6syw2HsmRWj0VD5EobHR0Pxg/kYjCDq85Y1h2hc0LTD2cPh7qYKNOu9SNDUgqcVUbOGyAdl3MkqUX1ij9tMCLQdGDbvc3rU5Rvn9brI024dBBAd66A+WpuIjqNxSxyF6OgAIia8JsBFTLnhSc+tl6jCiwt9VqCLxDs7NLdXZReId8FCGvEht3axjXCqNLMYR7LaT+7zesN75Vhbvefz/HoSGZljLxghGFTsZc2ZF6+2y5p3z/596+ZJY2dtQi/IMeTQ2yxhT3xhg4CPBDiv+xgVfEoIotH8nwUE0T5D6GfXdKWpfmK2eOlKIGaKwJmq/jRzk1rh1VaUpucltRWisq/Pc4gKRF0uHs0jGi2gFBMu4xWddhGkaO5QLWamFl+SL9nEYktxwTMSS8Mh+YkK1V7laNfmEq3j08x5vQ7qtFkXAUTHusgP3y6i4/DM1h2B6OgAIia8JtD0i5i8efXSi2gElXe9BTLi1Xx2+G3WkN1AvAtEvPAeJVphNxDvehV9djXcaDEO/Xef59aTxIzPrxcfhhuIe71ht0bMC/8dFmUYAXD9whfJhTLigqEd0ps1b58VAXu2gwo+l0Nxm57rXp9IcM4rAuS6V+HAmRIJlJLrMmReRMjwQiFYPClP0AzK+nvD4oN5RhMLLYUiaGJhpsSiS8GTxN6coeFQ+/CiIrJthVOP5xGVUJu5RMMFjcxrXPC0c4TGV5sP/95bWCk4prdSfW8ofDR8PlFZGs5TmjVUPrLdW4FeOZpPtMS0zjRdSq5X3Qnag0BBAoiOBUF5sBuio4MgIDo6gIgJrwkUuYiJxLaMue0yF7mI5r6LCX2xVW4Tw3PNtXZS1LOr6/a3rQXEUPTzGXA0t15sNduewNZbITcoRgiEtrioFwl90cq5vbnzelV/gTgY/7f5PTwm23b35tcrkus+5xK+QaAoAXK9KCn2azqBTua6nUc0LoqGF1aRcGlE0/hK81Y4DSpLzUrz0Tygwer0PbHUHhcOtY/bTleoZlSO+jyXqBFFwwumxHyi6SHukVjaW2E+OC4cKp9VTRpehAUia2xV+kzbWXOZhsfkfCg7metNP0Hh/8gEEB1HRlf5gYiODpAjOjqA2CIT8nB5ZVlXr63oH/26ujJhfjfvhT8yKkd+lpcnwtfe31fs8bG/BXYCm5EdbVd+N7Zi7QW/B3btvkFboT/avmnX+hPuF/dJ9rU25f21Vd0HLd5dvhJbiTccfmvn+PM5hCLqRSvf6kq83iq4WUNy1y+QYaruoqG2GavnGvEuEPriK+wmhcGgCjA+tFfm+NNTNCnm1vMne7hg9ycWeFIuAXK9XL5Y94cAue5PLKwn8blE44si2SHuRvAMhU+zbzTXaDCB9PoFlcJq0gLD53tialhxam2LQGuFVY8XWIpEUbvIUjSX6Iya3KgXXtIXmiuTet4ZmXtmSg+zl+Eg5mdKrel/y/vmPfldhuHbv8kx4b5mP/s3Yyc8JjwuON7aCY6zNtdk/4SdcL/QvvUnaCO0HbaXtDMZ2LF9YJ5S/z7INXuE6FhzAIZoHtFxCFh5uyI6BmSMUBUX2kIhLC582b+vaNErLqD1hLakEGeFtkgEC4W4yE7YXtSGFsfSYlpPsNNtxsW0mL+RAGh9XifYhcdGYmFMlLPiYHiM5yNaHGR8ton4kNeoSi82z54V5BIr4drKu5hgZ/+eGJ5rpiFKD8ldvxJufPXc9Bx/pXUcw60iwM1pq8JJZ/oQINdJj64QINe7Eml3/VwnTEbD52ND3KMV5HuCZyCWxitIU4suxStH40Py7XHpFeYTw/Dtok+6jS5uWnQ0gmUkXqZEVRFBI/Gy93skgkYCbGy/mAAbibO2nZiQGomhInxGQq0WWkMR17wXiqiRHWkvFGAjgdXsF/idEFhFfLVCbupvgbgbCru2f12Mf0afER2bkwiIjmPGSgSmZ49d7lvVJvsEVWbFqtrilWtFqtpWpArNimkxIc2IbSNUtUUVbiIMhnZFFIwLdsHvYTVdKPyNibI1h8v3kX14F3w3rgUP8uyDRnkvfHg3Pb1mHkTGHjiqKXt87G/Rd2zcjrZrv+vi7QW/B3Ztm7GHjmHbwbHhw82eHeOL9tc+AA0flG7fMmWq8Zb1ZOzBvH3Bj63UY7GM1qRv5zvCzWnnU6AzAMj1zoS68x0l1zufAq0D0KsEDRdZMosjLaotEytmkaRLF3VFaHhDOWGHOulqj4lwiJR5L7zJDP6u/2YqPYJhUGY/ebUVJdpWZEf/zb4f/T3aV45N2wmPDe1bO0EbQTWHba/Xptjp3XyaY7pa1ZGVvVbkjAmSiapWLcxGFaXhTaitTm1T9evVe7e07rPd1g4hOo4Z2YbOMzxmr7MPDx/QGMHKCG22aj4Ut8Lq/FDQSgpxPaEtEL2sSGYeZiVEuVBM6z0QSgl268W0nmCXEtOCkQH2wVLQbq/SPyXYBcf2xMKesDhl/Q1FvjZW/3PBXspHBqMeEiDXPQwKLpVCgFwvBStGPSRArnsYFFwqhUCrc12LjpFYakTQYIhZT1TVv0fCaU/I7Amndt+YyGnF1LgdI4IGwuk6cTasJEoKp0HFjxVRE+KstRObBysQUJP2TV9CgTcp+FoROBBgI3G2lOxpoFHPp0FoINHSXEZ0HBOtmStO5mSLps4oXtVmBK+oGi1W8WbfS1W12ak20lVtU5MxMS0lpAWiWlKIi+ykqtpE+EtUuNmKt7Bv8b/FhUUr3I2JksM9JtDqixiPueNa9QTI9eqZ02I9BMj1erjTavUEyPXqmdNiPQTI9Xq4V96qFSCt+BpWrkaCpxY1I2E0Ls66qn4NK08LV7/G5mBLiLN51a/Sv3jlre1fvPpVBGCZ75WtEQQQHR2EiTkdHUDEhNcEuIjxOjw455AAue4QJqa8JkCuex0enHNIgFx3CBNTXhMg170OD845JsCcjo6BlmgO0dEBXERHBxAx4TUBLmK8Dg/OOSRArjuEiSmvCZDrXocH5xwSINcdwsSU1wTIda/Dg3OOCSA6OgZaojlERwdwER0dQMSE1wS4iPE6PDjnkAC57hAmprwmQK57HR6cc0iAXHcIE1NeEyDXvQ4PzjkmgOjoGGiJ5hAdHcBFdHQAERNeE+Aixuvw4JxDAuS6Q5iY8poAue51eHDOIQFy3SFMTHlNgFz3Ojw455gAoqNjoCWaQ3R0ABfR0QFETHhNgIsYr8ODcw4JkOsOYWLKawLkutfhwTmHBMh1hzAx5TUBct3r8OCcYwKIjo6BlmgO0dEBXERHBxAx4TUBLmK8Dg/OOSRArjuEiSmvCZDrXocH5xwSINcdwsSU1wTIda/Dg3OOCSA6OgZaojlERwdwER0dQMSE1wS4iPE6PDjnkAC57hAmprwmQK57HR6cc0iAXHcIE1NeEyDXvQ4PzjkmgOjoGGiJ5hAdHcBFdHQAERNeE+Aixuvw4JxDAuS6Q5iY8poAue51eHDOIQFy3SFMTHlNgFz3Ojw455gAoqNjoCWaQ3QsES6mIQABCEAAAhCAAAQgAAEIQAACEIAABCDQRQKIjl2MOn2GAAQgAAEIQAACEIAABCAAAQhAAAIQgECJBBAdS4SLaQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIdJEAomMXo06fIQABCEAAAhCAAAQgAAEIQAACEIAABCBQIgFExxHh/sb7Pqm++Z0fmKNf/cqXqs98/D0jWuIwCPhP4JGvfVs9+LmH1SMPfcx/Z/EQAiMQ+NADX1Bf+qM/jY7kvD4CRA5pBIHPfvEr6oHf/0NyvRHRwklXBOQ65r0f/rR66MH71R233+LKLHYg4AWB9HndOvXY1z/vhX84AQHXBG577a9GJj/xgXeru95wp+smsOeQAKLjCDDl5vTI0ROR0CgC5MEDe9UH733nCNY4BAL+Evjeo0+ou+/5iHHw+mv2Izr6Gyo8G5PAXXe/P5Hf8u+33vUa9a53vHlMyxwOAb8IyDVL/EEp1zB+xQdv3BOwD04PHT6G6OgeLxY9ICCi43e//zhFMB7EAhfKJXD0+Lx649vuUwiN5XJ2bR3RcQSicjP6kd96V/SkVISZ+z/6WQSZEVhySDMIUOnYjDjhpTsCXMC7Y4klvwmQ637HB+/GIxC/fpHKGCodx+PJ0X4S4DzuZ1zwyj0BKf66ev8cRQHu0ZZqEdFxSLxWXf/qlz+lDuzbbY7Oem9Is+wOAa8JIDp6HR6cK4GAVH+94mW3clFTAltM+kVAHqS+6uW3MVrDr7DgjQMC6WsXREcHUDHhJYH08GpGJ3kZJpxyQEDO45LfUrlut7gu46AJTJRAANFxSKiIjkMCY/dWEEB0bEUY6URBAvbinbmQCgJjt0YSELFRLtqZv7SR4cPpAQSyrlsQHUmbrhCQB6eyseZAVyLejX5aHSZesc41ezNij+g4ZJwQHYcExu6tIIDo2Iow0okCBOxiAzw1LQCLXVpBID1PdSs6RSc6TyC9OFgcCHOBdT49Wg/g/2/vflrrqMI4AM9nKNQSKriKCG3FUvyzEBF1VReFQhWkiIJUhG6iqAvRheJCRbspiCIoUgQVAi7MSkVKF1oRhVoQXAmWogU/g5wLc51M57aT9E76vjPP3TWZOfc9zzu9JL+cmVM/k90fT0ff6klNcNHdpf6gFP8yEDpuo0ee6bgNNKekFhA6pm6f4nsK+GtpTyiHjUrAL6ejaqfJXEPAL6Yuj6kI+FyfSqenN8+uz3Gf7fGvA6HjNnpk9+ptoDkltYDQMXX7FN9DwK1IPZAcMgqB9k7trv1RtNUkegj4xbQHkkNSCrQ/1z2rN2UbFd1DoOQwP/x8cb6Bb1kwsL5x1oa+Pexu5iFCx23qlx/Sz52/MDvb85C2iei08AL1X0qbha6dOGZzjfCdU+BWBOrbNbrOsdPpViQdm0Gg+fOLn2EydEyNyxIQOi5L0jjRBNqf648fecjmYNGapJ6lCTQfn2HTpKWxDjqQ0HFQXoMTIECAAAECBAgQIECAAAECBAgQmJ6A0HF6PTdjAgQIECBAgAABAgQIECBAgAABAoMKCB0H5TU4AQIECBAgQIAAAQIECBAgQIAAgekJCB2n13MzJkCAAAECBAgQIECAAAECBAgQIDCogNBxUF6DEyBAgAABAgQIECBAgAABAgQIEJiegNBxej03YwIECBAgQIAAAQIECBAgQIAAAQKDCggdB+U1OAECBAgQIECAAAECBAgQIECAAIHpCQgdp9dzMyZAgAABAgQIECBAgAABAgQIECAwqIDQcVBegxMgQIAAAQIECBAgQIAAAQIECBCYnoDQcXo9N2MCBAgQIECAAAECBAgQIECAAAECgwoIHQflNTgBAgQIECBAgAABAgQIECBAgACB6QkIHafXczMmQIAAAQIECBAgQIAAAQIECBAgMKiA0HFQXoMTIECAAAECBAgQIECAAAECBAgQmJ6A0HF6PTdjAgQIECBAgAABAgQIECBAgAABAoMKCB0H5TU4AQIECBAgQIAAAQIECBAgQIAAgekJCB2n13MzJkCAAAECBAgQIECAAAECBAgQIDCogNBxUF6DEyBAgAABAgQIECBAgAABAgQIEJiegNBxej03YwIECBAgQIAAAQIECBAgQIAAAQKDCggdB+U1OAECBAgQIEBg/ALPvvRutXdld/Xa2pPjn6wZEiBAgAABAgQI9BIQOvZichABAgQIECBAYOsCH332dXXqwy+vOnHtxLHqmScenX39l9/+qI6ffLM6c/qV6uD+1a2/SYAzhI4BmqAEAgQIECBAgJsnSLcAAAcSSURBVEAwAaFjsIYohwABAgQIEBiPQAkd1zfOVhtn3ppP6vI//1aPPPZ89c6rz1WHH753FJMVOo6ijSZBgAABAgQIEFiqgNBxqZwGI0CAAAECBAj8L9AVOpbvHj7+cnX08AOz1Y51CPnNF+9VK7fsquoArxz3+VffzQa77dY9m4LLLuM+55Vj7r7rjvkqyzLO66c+rS5dvlJ98PYLs2Hr2kpY+udff8++VgLSlT27Zisy61ddb/l3n/eu36ueU/n39cZoft91RYAAAQIECBAgkEtA6JirX6olQIAAAQIEEgl0hY4b3/5YvfjG+/PArSt0PHf+wqaVkCUIvO/Qvms+M7EEf9c7r2/oWMLGOvCr620Gn2Wc8qqDyq73bh/TDjfrcS9+/8lsrK4xErVaqQQIECBAgAABAi0BoaNLggABAgQIECAwkMCiZzo2A7xFKx2bm7KUcX769fd5yNdVbtctzu3z+oaO9SrM8j7t+srX2mFq13vXz6os4WV5lVvK2ysXS5h68umjs9vM3aI90EVoWAIECBAgQIDATRIQOt4keG9LgAABAgQIjF9g0e3VZdVfuc24rPLLEjo2N7opqxRPf7w+v+W7KzCs51XOK6/mrdnNztfPthQ6jv//gxkSIECAAAEC0xIQOk6r32ZLgAABAgQI7KDAotCxlLDvwadmt1AfPLC6aRVgnxWLXVPoc96NrHRcRuhY30rdt/4dbJW3IkCAAAECBAgQWLKA0HHJoIYjQIAAAQIECNQCi0LH5g7WOx067l3ZvenZkIs2kimb3JRXc8Xiwf2rs6/1WelY317dXM3ZDC7bV4mVjv7fECBAgAABAgTGJSB0HFc/zYYAAQIECBAIJLAodKw3Tdnp26vb9dTB4P33HLhq9+obDR3LSs61E8fmO2U3bylvhrKH7ry9KmGm0DHQhasUAgQIECBAgMASBISOS0A0BAECBAgQIECgSyDaRjKlxrJ5S9mdurxK2FhWPl66fOWGQ8eyc3bz1Qwc66/XwWPzuObu1e1VmK4qAgQIECBAgACBvAJCx7y9UzkBAgQIECBAgAABAgQIECBAgACBkAJCx5BtURQBAgQIECBAgAABAgQIECBAgACBvAJCx7y9UzkBAgQIECBAgAABAgQIECBAgACBkAJCx5BtURQBAgQIECBAgAABAgQIECBAgACBvAJCx7y9UzkBAgQIECBAgAABAgQIECBAgACBkAJCx5BtURQBAgQIECBAgAABAgQIECBAgACBvAJCx7y9UzkBAgQIECBAgAABAgQIECBAgACBkAJCx5BtURQBAgQIECBAgAABAgQIECBAgACBvAJCx7y9UzkBAgQIECBAgAABAgQIECBAgACBkAJCx5BtURQBAgQIECBAgAABAgQIECBAgACBvAJCx7y9UzkBAgQIECBAgAABAgQIECBAgACBkAJCx5BtURQBAgQIECBAgAABAgQIECBAgACBvAJCx7y9UzkBAgQIECBAgAABAgQIECBAgACBkAJCx5BtURQBAgQIECBAgAABAgQIECBAgACBvAJCx7y9UzkBAgQIECBAgAABAgQIECBAgACBkAJCx5BtURQBAgQIECBAgAABAgQIECBAgACBvAJCx7y9UzkBAgQIECBAgAABAgQIECBAgACBkAJCx5BtURQBAgQIECBAgAABAgQIECBAgACBvAJCx7y9UzkBAgQIECBAgAABAgQIECBAgACBkAJCx5BtURQBAgQIECBAgAABAgQIECBAgACBvAJCx7y9UzkBAgQIECBAgAABAgQIECBAgACBkAJCx5BtURQBAgQIECBAgAABAgQIECBAgACBvAJCx7y9UzkBAgQIECBAgAABAgQIECBAgACBkAJCx5BtURQBAgQIECBAgAABAgQIECBAgACBvAJCx7y9UzkBAgQIECBAgAABAgQIECBAgACBkAJCx5BtURQBAgQIECBAgAABAgQIECBAgACBvAJCx7y9UzkBAgQIECBAgAABAgQIECBAgACBkAJCx5BtURQBAgQIECBAgAABAgQIECBAgACBvAJCx7y9UzkBAgQIECBAgAABAgQIECBAgACBkAJCx5BtURQBAgQIECBAgAABAgQIECBAgACBvAJCx7y9UzkBAgQIECBAgAABAgQIECBAgACBkAJCx5BtURQBAgQIECBAgAABAgQIECBAgACBvAJCx7y9UzkBAgQIECBAgAABAgQIECBAgACBkAJCx5BtURQBAgQIECBAgAABAgQIECBAgACBvAJCx7y9UzkBAgQIECBAgAABAgQIECBAgACBkAJCx5BtURQBAgQIECBAgAABAgQIECBAgACBvAJCx7y9UzkBAgQIECBAgAABAgQIECBAgACBkAJCx5BtURQBAgQIECBAgAABAgQIECBAgACBvAL/ASC4H1tUXPUZAAAAAElFTkSuQmCC",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"bio.visualize_system(title_prefix=\"Reaction-Diffusion A + B <-> C\") # Line curve view"
]
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"gridcolor": "white",
"linecolor": "white",
"ticks": "",
"title": {
"standoff": 15
},
"zerolinecolor": "white",
"zerolinewidth": 2
}
}
},
"title": {
"text": "Reaction-Diffusion A + B <-> C. System snapshot at time t=0.336"
},
"xaxis": {
"autorange": true,
"range": [
-0.5186832740213523,
6.5186832740213525
],
"title": {
"text": "Bin number"
}
},
"yaxis": {
"autorange": true,
"range": [
2.5,
-0.5
],
"title": {
"text": "Chem. species"
},
"type": "category"
}
}
},
"image/png": 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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"bio.system_heatmap(title_prefix=\"Reaction-Diffusion A + B <-> C\")"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "95f0b604-731f-4a1f-ac34-12e1db71c529",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "markdown",
"id": "3fc7b647",
"metadata": {},
"source": [
"### Advance to time t=0.736"
]
},
{
"cell_type": "code",
"execution_count": 31,
"id": "fe80a6cd",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"\n",
"+++++ 50 steps later:\n",
"SYSTEM STATE at Time t = 0.436:\n",
"[[0.53513401 0.5437576 0.54867719 0.53174198 0.48696931 0.43256384\n",
" 0.39647767]\n",
" [0.39647767 0.43256384 0.48696931 0.53174198 0.54867719 0.5437576\n",
" 0.53513401]\n",
" [1.49508439 2.09028492 2.96849022 3.41695934 2.96849022 2.09028492\n",
" 1.49508439]]\n",
"\n",
"+++++ 50 steps later:\n",
"SYSTEM STATE at Time t = 0.536:\n",
"[[0.48751897 0.50165856 0.51768297 0.51798994 0.49498758 0.46076288\n",
" 0.4365229 ]\n",
" [0.4365229 0.46076288 0.49498758 0.51798994 0.51768297 0.50165856\n",
" 0.48751897]\n",
" [1.65797359 2.15520413 2.86719131 3.22213812 2.86719131 2.15520413\n",
" 1.65797359]]\n",
"\n",
"+++++ 50 steps later:\n",
"SYSTEM STATE at Time t = 0.636:\n",
"[[0.47470241 0.48869324 0.50591479 0.51120986 0.49756771 0.47365233\n",
" 0.45594669]\n",
" [0.45594669 0.47365233 0.49756771 0.51120986 0.50591479 0.48869324\n",
" 0.47470241]\n",
" [1.78774781 2.20070508 2.77778668 3.05983384 2.77778668 2.20070508\n",
" 1.78774781]]\n",
"\n",
"+++++ 50 steps later:\n",
"SYSTEM STATE at Time t = 0.736:\n",
"[[0.47257504 0.48488523 0.50040062 0.50652836 0.49733067 0.47935337\n",
" 0.46567693]\n",
" [0.46567693 0.47935337 0.49733067 0.50652836 0.50040062 0.48488523\n",
" 0.47257504]\n",
" [1.89367665 2.23536347 2.70338342 2.9284027 2.70338342 2.23536347\n",
" 1.89367665]]\n"
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}
],
"source": [
"# Continue the simulation\n",
"for _ in range(4):\n",
" print(\"\\n+++++ 50 steps later:\")\n",
" bio.react_diffuse(time_step=delta_t, n_steps=50)\n",
" bio.describe_state(concise=True)"
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5S9FVpnOPpn2PRnZGP0uKk8ZYiro8hiHQVq4PQ5Oz1CxArmuODn2zLeC66GiKcVXWTCyaXv3ED34SvPjL1woLhMZCCo13feGWaDSiGeloCpxFxUBpU0ZC7t3z8FjRUdqTm8FU6atsKwXN3d97ZlE73EjGdpZabI+io0VMmlIpwEWMyrDQKQcC5LoD1BablALXqJAlN1HJTWmmwJVGQ3OuaykER1PBzZqVchMdx4XgFn9VBnUozbk+qEBwss4FyHXnxBxAkYBPRUdz05ciPjM6sqzomC0klhUL/7D/vWgKthk1WXQcM5Iy+zPZnpGOipJ6UlcoOnoSKLrZWICLmMZ07OiZALmuK2DR6LjcFOZ0ZFyyPmI6KjEsKNqYyhtNVb4ovlNz/o7OpgDVh6m8vcr1cMp7/uY62Snvp95dPGq18ZT39I7e41Pe83cAj262I9O+eXQu0Ktc71yTDmgWINc1R4e+2RZwXXSU/taZXr1t6+Z0KrXsmx3paIqO04qCsqZjfqSjjaKjnMdtN9+Q9i87tZuio+3MdNQeRUdHsDSrRoCLGDWhoCOOBch1d8Bnjp/O3DxlvAjU1k1L4jsqy81UuGnJ0HM9f3OffDG7i5v7yDqdy1ZzEx3br0JDz3XbnrSnV4Bc1xsbemZfoI2i47QbyUhhsezu1UXTqydNf55lpKPolk2vLip4UnS0n4/OW6To6JyYA3QswEVMxwHg8K0JkOvVqOXOyuYmKaeSdQ+laBMVDwturiI3Gzl7ssE6fResDG+QIiMORyMP46Lh+EhEmQYr6/nNb2CdvmoRDAJyvarUaLuFQ6fidT1z0/ZlTcr8SEsZoXvqYIP1P1cuW3RHb5Pvsh6lyf8VmTuRyx3CeZQLkOtkx1AEyPWhRJrzFIE2io5yHBklmL8TtSnkmZvMTFvTUdoxd5DOjnaUwuQ1f/Lh4Oort5eu6VhlpKOsxSh9+N3v96d32jY3kpEbyB+bF7kAACAASURBVOQLknJO8mB6tUe/SxQdPQoWXW0kwEVMIzZ28lBgqLkuxRS5aYoUB+PpyvFNPuKbqeTv1BxOYz5Y/47ES8NiSn6kYbZ4GN/sQ+7CPCoqUkxx90s01Fx3J7q45Xxxvuz3S37fzEjLJsX5+QvkTuej3xtz05yi3y/ZbmjFeXK9zaznWF0KkOtd6nPstgXaKjpmC4bZc8wWA6sUHcvayd69uun0anMDGHMXbdNP00cpbu767g/T7ss6kubO2UyvbjtzGx6PomNDOHbzRoCLGG9CRUdnFOhDruenjcZFQ1NEHBUT07USw4KHFEfqPOaWzBWuebgiLBrGayGO7hxsvl++Zr7OIdjWsUAfct0xUSfNy1qTptifv4P6qfT3ePwO4OfPhYta1nhIMT9aYkDumJ4bSSy/r1L8z65pKiOJl630d9o3uV4jOdjUawFy3evw0fmaAm0WHWt2jc1zAnPnwwcqswlQdJzNj731C3ARoz9G9NCOgLpcD/9CLx5pKCMQ4+Lh4rUQTwSNb5AhxYdopOH4DTLMCKrRtOZ4Gx5+C6jLdb85O+19NDo5s8xBvlgprxfRNknR0soNl8KipUz3LrrhkhlpqeWGS+R6p+nJwVsUINdbxOZQnQtQdOw8BJU7QNGxMlX5hhQdLSDShGoBLmJUh4fOWRRwnevyZj8tFiZ3X47XQhwVDUbTmsPCYji9ue5j6fyysBgQFg7N3ZeTwsCiu+tmnl8yv7TuYdjecwHXue45T6+7f27hbDydO/3gYjRy0jwfFS7TbU4GZxfqr8laNOI5ujt8tAZr9oZOcfFyfp2bNVnJ9V6nMyeXESDXSYchCVB09CfaFB0txIqiowVEmlAtwEWM6vDQOYsCdXJd3rhHoxDljXlaOBy9Uc/fXEIKi03euEcjD8M36qMpj+NTl83NJcyoI1dv3C0y05QCgTq5rqC7dKFjgewHJotvGhV/QDJayiEeWVn3kf/ApOymUTI1PPpZWKis8oEJuV43EmzvqwC57mvk6HcTAYqOTdS62YeiowV3io4WEGlCtQAXMarDQ+csCpzffyw4+vsjwYF9R6NCorm5Qzz60IwMikclLhyufzMVWddwdHOHUfEwKhgmb6Lzd2rWMkXRIjNNKRDgdV1BEPrchXBpiPwdvc3raLwshBQpR8VK+b7R0hDr45vojI3uTtapNKMpN25dG6y9ZF0wt2VNn8U5NwQCXtdJgiEJUHT0J9oUHS3EiqKjBUSaUC3ARYzq8NC5BgKH/+r94OCvDwTv/+rd+Ouvw6+/ei84fXShcmvRzRjMTRg2rZn4ptdsJ3dw5oGABgFe1zVEgT5kBeTO3aOb6Ez40Oe9Y+l2dW6CtXztfHDBRzYFF374ouCCD28MLvxI/HX9H19IIBDohQCv670IIydRUYCiY0UoBZtRdLQQBIqOFhBpQrUAFzGqw0PnJggc+ndSWHwvLCzG/5ki45kTpwv3WvOBtcH6yzYEyy8Y3Uyl6E6u0ciacBseCPgqwOu6r5Gj31mBUwfjkefxurijEekn0jt9Hw9Oh9scfuNQcOwPRwvxlq1anilCbgr/HRYmw+Lkhr++EWwEvBLgdd2rcNHZGQUoOs4I2OLuFB0tYFN0tIBIE6oFuIhRHR46FwqYYuLBcMTiqMh4oHQNxTXhVDszyiV+gxmOeNm+Kdh86brI88iJ+jdNIBAI+CTA67pP0aKvswiYXH/nzSPBwdfNh0/yQVQ82v1YuKRG0UPWmJSRkKYIeUFmhOQs/WFfBFwJ8LruSpZ2NQpQdNQYleI+UXS0ECuKjhYQaUK1ABcxqsMzmM7JNLpDyVTo95ORi2b04vmz4QJiBY91H9yQvGm8KJxSF49gkf/KRimS64NJp8GfKLk++BQYDMC0XJfRkulo+OhvS7zsxpHfHio0mls6l3xolYyKlA+uwoLkhrBAKctu8ECgK4Fpud5VvzguAi4EKDq6UHXTJkVHC64UHS0g0oRqAS5iVIend52TOzxn11vMjl4sO9l1f3xBVFTMj16UNbzqPMj1Olps67MAue5z9Oh7HYGmuS5r/Maj6EejIuUDryN/dbD08EWjImW0pIya5IGAa4Gmue66X7SPgAsBio4uVN20SdHRgitFRwuINKFagIsY1eHxtnOyrmLReouyDmPZQ9bYkrW25I2djCrZ+JHN0UhGWZPLxoNct6FIGz4IkOs+RIk+2hCwnevyt0s+GDvwq3ei0ffxiPv3gml/u0Y3rxmtG2nrb5cNJ9rwX8B2rvsvwhn0WYCiYxDsuP3+KMR79zysOtQUHS2Eh6KjBUSaUC3ARYzq8Kjv3MKRU6Np0elNXQ4Ecgfposfc3FwyDTpcSytca9FMi5avS+aXOj1fct0pL40rEiDXFQWDrjgVaCvXzy2cDczSH9HXaJRkXJQ8f754CRC5c3Z23UgzTXt+3QqnJjTeT4G2cr2fepyVbwJDLzq+9MrrwZ89+S+C3/1+f/DQ1+4Mrr5yu9oQUnS0EBqKjhYQaUK1ABcxqsOjpnMLB0+Fb7iSG7mEi/UfCt9oHQjfdB393eHCPsraV+loxe3xYv2myChrZnXxINe7UOeYXQiQ612oc8wuBLrOdVlzeFSEDIuRr49GScpaxUWPtX+0PhzJL+tEhn8Xw5ucyQh/KUjOX0Axsosc8uWYXee6L070sx8CQy86fnPXk8F/+CcfCf7P/+dXUUAfuPsOtYGl6GghNBQdLSDShGoBLmJUh6f1zp1870RUXExv6pKMXiy7A6iMTpQ3T/FNXMZHL7be+SkHJNe1RYT+uBIg113J0q42Ac25Hk3Nzo2KlA/rZNRk0WPNJevSu2mbUZHydeWmVdrY6U8HAppzvQMODtlzgVaLjj/+cXean/lM4bGv+OTng2effjT4w/73gp3fekL1FOvBFR2lIvzUj36aBu76a68KHn/k3tIkeuIHPwl2ffeHi37+6s++nz5H0bG730GO3I4AFzHtOGs7yvH9x6LRivKGKF5MP54mdvzto4VdXb56Pp0mdkEyKkOKjLIOoy8Pct2XSNHPWQXI9VkF2d8XAR9zXdaHjG6oJnfSzixLcvr4QiH76ovXph/syQ3VZDkSGSW5essaX8JEPy0I+JjrFk6bJgYq0GrR8Z57gmDXrval5Zhf+cqi45qp1aaOJQXIPbt3qp1iPbiioyy2mV1oU76/Zccngjs/9+nCJJKi44u/fG1iYZKiY/u/fxyxXQEuYtr1bvtox/cdHU2LDouKMoJRFsiXEY1FD1lrKnsTl3ha9KZg/WUXtN1168cj162T0qBSAXJdaWDolnWBPuX64TcOjhUhzc1sZO3kooeMgJQbrsnfbHNnbRkZuXrrWuvONNi9QJ9yvXtNeqBdoPWi429+0z7JDTcUFh3N1OodN14X9Um+l4fWKdaDKzrmM2VaUXHaz6U9io7t//5xxHYFuIhp19vV0Y787lA0ciIevRiuvShTusL/Tr1/svCQsnaUuTu0rCll1luUtab6+iDX+xpZzisvQK6TE0MRGEKuy9rJ6TTtcE1lc3dtWWu56LHiwpVxETL6L1k7MixMrvujDUNJi16e5xByvZeB46QaCbRadGzUQ3c7ycjGokd2Nq67o9dvefBFxy999TvBxz56+cSRjtnp1ZddevGi+fIUHesnHnv4JcBFjF/xkpEQZrSimRItxcWFw8VvPlZtWh29+ZCREGZalnwva0cN7UGuDy3iwz1fcn24sR/amQ8512WtZbNupCyTItcG8v2J944Xf9i4fkUyTTteg9mMkuzDTIYh5P2Qc30I8eUcxwWGWnSUqdVFazhqnmI96KKjWa+xTkVYipTyyK4DeeBI8foqvDAg0BeBVeGNQORxomRh876cp2/ncejfvR+899o74VRoWXMxvFP0a+9Gd4s+c/x04amsvnhNdAfMjZdfFGz68Ob03/I8j1iAXCcThiJArg8l0pwnub44B46/fSy6ZpBrh/d+HV5HJP+W54sey1Yvj24IJ9cP0XVE+N+my8Np23/9QhJMkQC5rigYdMW5wMZ1886PofEAUo/atnXzoqnUmqdYD7bouPe5XwT3PfhYdMefrVuq3+RAKsu33/VQkC1UnqQQo/H3kT5ZFFi2dC5q7czZ8xZbpamqAu9KYfG18I1B+Kbg3f8v/C/5/szJM4VNrA1HKG7+m5vDNwTyBmFTcFH474vCf6/avLrqIQe7Hbk+2NAP7sTJ9cGFfLAnTK5XD/2Jd46H1xhyrTG67ngn/PfRcMRkYTFy5bL4OiMsQF70N8MPNM11R/g9j/YFyPX2zTlidwIrk0Ex3fWAI1cVGGTRsckIRwNaVHRkenXVdGM7XwWYruE+cufOnhuttxiOVnw/WpMp/C8chXDuzLnCDsjaS9HdoZM1mWRtJpkWLWs18WgmQK43c2Mv/wTIdf9iRo+bCZDrzdyye8naz+k07XBNaFkbWpZvkbWiix5Lli2JbjAXrRsZrgktS7fItYpcsyxZumT2DtFC8XXhqmXR80dOFH8oDRsCfRIY6vRqH2M4uKJj0fTobODyPy+62/XHr7libDgrRUcfU58+1xHggr2O1uRtz4Ujow++fiCc0jS6kYsUFuXGLkHJQFJZSym/3qJczMtdpHnYFSDX7XrSml4Bcl1vbOiZXQFy3a5ntjW5a7Zcw+TXjZS1pQsf4cQZuXFNWpCUomRYkLxge1iMZNTSzIEi12cmpAGPBCg6+hOsQRUd9+0/ENx06z2F0dmze2dw9ZXbg3zRUb5//oWX031uu/mGRfPnKTr6k/D0tJkAFzH13c6GU59lfUW5EJeF202R8dBvDpQ2tv6vXRitlRRdkIejAeRu0fJ1+ephrllSX332Pcj12Q1pwQ8Bct2PONHL2QXI9dkN67Zw+vhCNBLyYHQdFF4DhR+syvqRh//9+6VNbfgb4c3skiKkfNAqoyRlHcml4RRuHtUEyPVqTmzVDwGKjv7EcVBFR1dhoejoSpZ2tQhwEVMeiYWjp9K7QcoFtVxYywX24b8sv7COphvJNKOkqGi+X7qCC+uuc55c7zoCHL8tAXK9LWmO07UAud51BEbHP3vqTHidlCwfkxQlzfdlvVz/oQujD2DlA1n5YFaumaQoOb+W2R55M3JdT67TE/cCFB3dG9s6AkVHC5IUHS0g0oRqAS5igmDhUDiFKLxQHpsWHX5/5Lcl6xmFaxaNRitm1zQKpxCFax3x0ClAruuMC72yL0Cu2zelRZ0C5LrOuGR7JWtXp7NC0jWt4w9xZc3rose6D8q61sm6kWaadvh1fsNwi5Hkuv5cp4f2BCg62rN03ZLzoqOsifjGm28Xnkf2DtCuT9Rl+xQdXerStgaBIV3EnDpwMp4GFE2LliJjPHrx2FvFd26UNYjMDVzyoxfn5uK7fvPwR2BIue5PVOipCwFy3YUqbWoUINc1RqVan86fPx/fVC83KlKu0WSN7KLHmm3r0lGR8Y324mVrVmzs/032yPVqecVW/RCg6OhPHJ0WHWU9xG1bNy9aA9Efnmo9pehYzYmt/BXo40XM8XeOpXdfzI5ePP6Ho4WBWrZqeTq9xyyAHo1k/Bub/A0sPV8k0MdcJ8wIFAmQ6+TFUATI9X5G+uBvkmKkFCUzy9ucOXG68IRXf2BtfDftdFTkxuiO2qs3r+kNELnem1ByIhUEKDpWQFKyidOi4xWf/HxgbtCi5HyddIOioxNWGlUk4PNFjBQR42nRo/UWZWHzE+8eLxRevnY+vijNrLcoC5mv++MLFEWErrgS8DnXXZnQbj8FyPV+xpWzWixArg8rK4781cH0Rn7RTWySm/qdPrpQCLHqotXpGtvZdSOlSOnbg1z3LWL0dxYBio6z6LW7L0VHC94UHS0g0oRqAR8uYo6+eTi9Q2J0t8TXw7smhsXGkwdOFNrKmj9xYTG5qUtyx2hZI4jHcAV8yPXhRocztylArtvUpC3NAuS65ui01zdZgzuapp0soWPW6ZY1u4seKzeuiteM3B7OagmvF6UgKTNc1l66vr1O1zwSuV4TjM29FqDo6E/4nBYdZXr1zZ+6Pthx43X+iDToKUXHBmjs4pWApouYw28cDA6FBcX4k+vwa3S36PeiG70UXjRuCi8aty++W/TabXovGr1Kjp51VlOu94yW01EmQK4rCwjdcSZArjuj7UXDR9+SD61z60aGN7M5+V75h9bxB9ZxEVI+wN4QFibXX9b9jBhyvRcpyUlUFBhy0bHovima75fitOj40iuvBzu/9USwd8/DFVPHz80oOvoZN3pdXaCLi5jDf/l+NCU6+iQ6Wq8nLjKePlYyPWZzOD0mvAC88CPxnQzlQnDjRzYHqy7uz1o91SPGlk0Fusj1pn1lPwRmESDXZ9FjX58EyHWfoqWnryfePhZO034nGR0ZL9MjoyRPvFOyPM8aWZ7HjIpM7qodXpOu/9CFrZ0Uud4aNQdSIDD0ouNdX7glHdz3zV1PBm/teyd4/JF7FURmcRecFh1lTcdJD83V2DrRouhYR4ttfRRweRFzMPw0OR2xmBQZ5fszJ8sXAs+ut2imSMuaPDwQmFXAZa7P2jf2R8CmALluU5O2NAuQ65qj41/fZE1wMzXbjJCU2TelNyJcGd+IMPpAPCxCmhGSMgvH9oNcty1Ke5oFKDqOio57n/tFsPt7z6gd7Oe06Kg5SW32jaKjTU3a0igw60XM+XPnR+voJCMW5ULtQPiJ8fnT5wpPWdbMiaatyPQVWXtR1tQJL9hkjR0eCLgSmDXXXfWLdhGwLUCu2xalPa0C5LrWyPSrX7KGeFSElDXFw2vdePmfA4GsOV70mFu+JNgYTdGOZ+fEH6LHU7bnlsw1wiHXG7Gxk6cCbRYdf/zj7pA+85nFx5bp1dmRjrKs4cc+enlw5+c+3V1HJxyZoqOFsFB0tIBIE6oFql7EnDt9NrPOYrLeYlJklMJj0WPdZRviNRfH7ha9OVi+fl61CZ3rp0DVXO/n2XNWQxIg14cU7WGfK7k+7Ph3ffanDy8k07STmT3RzQ7fC468cai4GBkWHEfTtJN1I5Ni5JLlSyeeDrnedbQ5fpsCbRYd77knCHbtavPs4mPJMb/yleKi4xtvvj32g7u/+NnhFh1lXcfb73poDGTP7p3B1Vdubz9qjo5I0dERLM2qEchfxJw9daZwvUW5iCp7yJo22fUWLwzXW5SLquXhGjg8ENAiwAW7lkjQD9cC5LprYdrXIkCua4kE/cgKyBrl0fJCuXUjZU3zsod8SF+0buTSFcuiXch1cmxIAm0XHX/zm/Z1b7ihvOiYHekoPZOlDb/99S+rvImz05GOMrf8vgcfC559+tFg65aNUZT27T8Q3HTrPWpBmqQSRccmauyjXeDswpng2JtHgiO/OxSc2X8seD+cLrL//40X1D707w/UuiCSC6Rl4Zo2PBDQLsAFu/YI0T9bAuS6LUna0S5ArmuPEP3LCsia5nKtnb+R4qQP9jf8NVmCaGOw5W9tDi4MlyNatmVNsO6PNgRrLl0XLJ2PC5I8EOibQJtFR212+enV0j/NU6ydFh2LMARE+0KXdZOKomNdMbbXILBw6FRw5M1DaWFR1pw59lZcZJR/ly2ILX2XtWbi9WdktGLyqWv4VdamkTVqeCDgqwBvTn2NHP2uK0Cu1xVje18FyHVfI0e/swKyBrqshW5uXhPfzCYeDFC2hJHsv/oDawNZJz37nylIrrt0QzC/YQXQCHgpQNFxdCMZ7QP7nBYdZYhn0VRqM+Wau1d7+ftNpz0RkKKhFA+liCjFxPTfMnoxLDZK0XHSY27pXCAXI2vCC5UL/3hDsOFDFwRrok9SZ1vk2hM+ujlQAd6cDjTwAzxtcn2AQR/oKZPrAw38QE47e7PGY+FMpEN/eTB4/69kUEH4HiC83j9/tnhNdcMjRcf4en9dVJiMCpLb1kVf5XspWvJAQKPA0IuO+TUdtU6tltxxWnRkpKPGX0/61AcBuWFLdlTi0d8dDo7mCosyPXrSY37tivACQz79jC8q1v5R/CloeuGxbX26OxfsfcgazqGKALleRYlt+iBArvchipxDFQFyvYoS2/RBoCjXj74VzmRKBhzIAIToPYN8jWY7HQ0Wjk4ehCDTs7MFybVhQTJ9z5AUKKfd4KYPtpyDPoEhFx31RWNyj5wWHVnT0bd0oL9aBBaOnIouCrKFxewFw7HfH5na1VUXrU4vCtbKp5VhETFbWFyxceXUNswGXLBXpmJDzwXIdc8DSPcrC5DrlanY0HMBct3zANL9ygJNcv3UgZPRiMi0IBkWKY8mSy3Je5ET7x6fevw1l8SjJMfeayQFSXnvMb+OKdxTEdmgtgBFx9pkne3gtOgoZ8XdqzuLLQdWLHA8vDGLTHuIP2mM/4umQSefRJ56/+SUjwvCO9RlCokyBXr0ffyHf9kqezduaXIRo5ifriFQKkCukxxDESDXhxJpzpNcJweGIuAi18+cOJ0UJMOlmsKCZPx+JRkxmXwfTJ7BHay4cGVhQTJeWzKcwh3e+IYHAnUFKDrWFetue+dFx+5Orb0jcyOZ9qx9ONK5s+ei4qFMW8gWFY8md4KWn8md6SY9lq+ej6YyrJMpz+EIxTVm6nNmnZU2LVxcxLTZf46FQFUBcr2qFNv5LkCu+x5B+l9VgFyvKsV2vgt0levxMk9xQTK6MWX6fTy1+/TxhYm0y1Yuz0zhHh8xKctAyXuiJUu5UaXv+Wm7/xQdbYu6a4+iowVbio4WED1q4vSxhfCPavxH9FjmD2y2wDjtdFZuWpXeRc6MUMwWFuXnmh5dXcRoMqAvwxAg14cRZ84yHC2/alnEcOTE5PV/sULAdwFy3fcI0v+qAlpz/eR7JwoKkqMZXvLzaY/07tuZ5aJMQVIGaSxfMz+tCX7eMwGKjv4E1EnRUe5aLXfPue/BxyZKcPdqfxJlSD2VtUtMAXH0SV3DP4yyvkl6JzhZUzGe+uzbH0atFzFDykvOtR0Bcr0dZ47SvQC53n0M6EE7AuR6O84cpXsBX3NdBnTEa0rOOKAjt369TN0269nLWvc8+iVA0dGfeDopOvpz+nZ6ykhHO45ttHL+/PnxO7jNMAUgGqEYDvdPP3nLTH2eWzLXxum0dgxfL2JaA+JAvREg13sTSk5kigC5TooMRYBcH0qkOc++5vr5c+fjtSTfCpevMje5idbEP5KuiV916Sp577YunLIt79/SWWbJFO65uX69f+v7bwRFR38i7LToKCMe9+zeGVx95fYxEbmr9e7vPRPs3fOwP1ITekrRUU8YbS12LH+M4jUV4z9K2cLiqs3D+6SsrxcxejKXnmgRINe1RIJ+uBYg110L074WAXJdSyToh2uBIef6iXfCmWpjBckZbtK5qCC5NnpPaPMmna5zYQjtU3T0J8qdFB3NHa2ZXu1Pomjp6akDJ4Mj5gYtySLF8gcmuutz+FWmRk97rLkkMzrR3PVZ/rhExcV1wfy6FdOaGNzPh3wRM7hgD/yEyfWBJ8CATp9cH1CwB36q5PrAE2BAp0+ulwd74cipsCgZrskvoyXDUZLmpjfpklq/PzI1U2SKdnzH7XXR+0YzYjKawh1O7da2Jv/UE/J8A4qO/gSwk6LjEz/4SfDM3p97MdLxm7ueDJ760U/TiF5/7VXB44/cOxZhRjraS/j0D0G2sBgNn5fC4tFg4eipiQdbOr8sN0IxLjCaPxCy4PCSZdz9rG7EuIipK8b2vgqQ675Gjn7XFSDX64qxva8C5LqvkaPfdQXI9bpio+3PnT5bUJAcFShlgMvZhck3XptfuyJ8H7o2fO+ZmSmXFCSj96Lb1jXvIHsuEqDo6E9SWC86mlGM0wiKpl1P26eLn++4/f6x4qh8f8uOTwR3fu7TaXcoOlaLzNlTZ5JFgqWIGH7CFBUTZdFguRO0fH8oOH/2/MTG5jesiD5VKpr6LC/mqy5eU60zbFVLgIuYWlxs7LEAue5x8Oh6LQFyvRYXG3ssQK57HDy6XkuAXK/FVXvj4384mt5s1IyQjNaalBl34fvYhUOTB8fMLZ1L3scmS3elBUmZcRcv67V0xbLa/RrqDhQdg0BqU2+8+fZYCmicTWy96Jg947I1HX3+xZBRmi/+8rWx0Y4UHeOILhw8NT71OSkkyguxTIE+vv/Y1NCv/oB8OpTcaSwcpp5fU1GKjjzaF+Aipn1zjtiNALnejTtHbV+AXG/fnCN2I0Cud+POUdsXINfbN88eUYqOUnw0y35JYVJm8Zmp3FK0nPZYvWVNeMfteICNTNlO3wsnBcoVF66c1sRgfj7kouO+/QeCm269J7j7i58dGwwntSp5ZAfIaUgIp0VHDSdouw9f+up3go999PJBjnQ8vi/+dGdsTcVMYXHh8ORPd5YsXxoNKx9/8Ry/WcuS+aW2Q0Z7FgS4iLGASBNeCJDrXoSJTloQINctINKEFwLkuhdhopMWBMh1C4gOm5Dp2dmC5NHobtzJDMDk7twyzXvSY369TOEe3YE7P1hn9da1Ds9AV9NDLjpKTWrb1s3BA3ffoSsoJb2h6FgjTFI53vXdHwb5IauHjp2u0YrOTc8unI2mOx/57aHw05jDweHwhU/+O/LbeKFd+fe50+cmvwiGN2BZ/8ENYVFxfbA+/IRGvq5Lvt/wRxcEay4Zzougzig379XK5fE6mCen5EDzI7AnAjoEyHUdcaAX7gXIdffGHEGHALmuIw70wr0Aue7e2PURpBB5OBwteTh8Ty4FSfkavUdP/i03xJn0WBK+Z4vfhyfvyeW9eDiLMH6PHj+3tCeDfDasWe46HGn7v/rxr1o7Vv5AH/nMRxYd27cZxU6LjmbYZ1mENM43L+vr3ud+Edz34GPBs08/GmzdsnFss2MnJy8q21mGZg4sw70PhS9appAoX+X7qKAYFhaP7pt+x641F68NX8TiQqJ83fDBC+IC42Xx9ysvXKXhVOmDA4Hlyc13UgnOYAAAIABJREFUTp+ZXHh2cGiaRKBVAXK9VW4O1qEAud4hPoduVYBcb5Wbg3UoQK53iN/SoU++fyJ+Dx++f5eCZDRQKB0kFE7nfnv6FO61W9eF7+PDm91EA4Uy7+nlPf4H1wcrNvgxhXvNyvbWv/xX9/yr4C92/UVLUR4d5lO7PhV8/CsfHzuuqbEV1aVa72DFAzotOpqbrlzzJx8Odn7rifSGLDIc9OZPXR/suPG6it3sdrOyEY6mVxrWdDzx9rF46nP4wnP0rfjmLOZ7WUvi1MGTExGXLF0Srx1h7raVWdjWDNtmYdtu87DLozNdo0t9jt2mALnepjbH6lKAXO9Sn2O3KUCut6nNsboUINe71Ndx7DMnT2emcMd3345v3DqqEZw/N+XGrResGF9PUu63kPyn6catbU6vlqLjgd8caD3IH7rhQ4uKjtIJRjpmQmEwPrBlU/AP7nk4LTrKHa6zRcjWo1fjgFIglcfjj9xbupfrouO5cHSZFBKPZQqJ+TUgzoXToyc9lq+Zj0YlFhUWzYtIDRY2HZgAFzEDC/iAT5dcH3DwB3bq5PrAAj7g0yXXBxz8gZ06uT6wgDc83bQQmRQkoztwR4OW4iLl6WMLE1uWezCYezTI1zXb4hvBmufkHg5yLwfXjzaLjq7PpW77rOlYUHS8+srtUTXWTKeWouPtdz20aG3Eutiut580PXzP7p2BnJc8Zi06nj66EK3TEP+yj0YomhGLx34/ferzqotWp7/sq7OLyyYjFlduYuqz63zpc/tcxPQ5upxbVoBcJx+GIkCuDyXSnCe5Tg4MRYBcH0qk3Z7nyfdOjN+FOzf4SX4+7bHmknAGZVKHGCtIRiMm1wXz4b0gZn0Mueho6mn5u1fLkoC/f/vdYd29Onun5+y/ZbryM3t/no58nDXhut5/WtHx+DvHomHO0bBmM8Q5mQotU59PHpj8izs3Nzd2l6o18gssnyZEU6HXRT9bvnq+awaO32MBLmJ6HFxObUyAXCchhiJArg8l0pwnuU4ODEWAXB9KpLs9z9PHF5Ip3OFgqUWzMeNBVNMeKzauLJ3CvSasc6zesmZaE8GQi44GRwb2ZR+XXXqxyhqb0zUd85mSRfFp4ctJGS9rIvz6/357fL2EqLAYD0+W4cpnp9xoZtmq5dFw5DWXrk0KieE06KSwuHZbWGAM/y2FRx4IdCXARUxX8hy3bQFyvW1xjteVALnelTzHbVuAXG9bnON1JUCudyXPcccEwiUjs/eZODZ234m4RnLmxOmJaFIfSdeRDIuQ8RJxUheR6dzxvy+tUJgkMjoEWi066jhlu73407k/ndqgTG2W4mFcWFwXFRalgh8NOQ6/ytRoHghoFuAiRnN06JtNAXLdpiZtaRYg1zVHh77ZFCDXbWrSlmYBcl1zdOhbVuDEu8ejwmQ6GzS7zNybh4JTBybfBFfa+sb5b4DqiYDToqNvd9VpEjMpOkq1PVo4NRmVaKrycidoGb04v3b2NQua9I19ELAlwEWMLUna0S5ArmuPEP2zJUCu25KkHe0C5Lr2CNE/WwLkui1J2ulaYOHoqbAgeTQcFZksT2fue5F8f/rwQvCPDn+t625y/IoCFB0rQpVtdu7sueAPB0/N2Aq7I6BbgIsY3fGhd/YEyHV7lrSkW4Bc1x0femdPgFy3Z0lLugXIdd3xoXd2BVjT0a6ny9acFh3l5jE3f+r6YMeN17k8h87bnnYjmc47SAcQmFGAi5gZAdndGwFy3ZtQ0dEZBcj1GQHZ3RsBct2bUNHRGQXI9RkB2d0rAYqO/oTLadFx3/4DwT+452GVd9CxGSKKjjY1aUujABcxGqNCn1wIkOsuVGlTowC5rjEq9MmFALnuQpU2NQqQ6xqjQp9cCVB0dCVrv12nRcf8Lbzz3X/1Z9+3f0YdtEjRsQN0DtmqABcxrXJzsA4FyPUO8Tl0qwLkeqvcHKxDAXK9Q3wO3aoAud4qNwfrWICiY8cBqHF4p0XHGv3welOKjl6Hj85XEOAipgISm/RCgFzvRRg5iQoC5HoFJDbphQC53oswchIVBMj1Ckhs0hsBio7+hNJp0bHs7tV7n/tFsPt7z/Rm2jVFR38Snp42E+Aippkbe/knQK77FzN63EyAXG/mxl7+CZDr/sWMHjcTINebubGXnwIUHf2JWydFx5deeT24/a6HAqZX+5Mo9HTYAlzEDDv+Qzp7cn1I0R72uZLrw47/kM6eXB9StId9ruT6sOM/tLOn6OhPxDspOj7xg58Ez+z9OSMd/ckTejpwAS5iBp4AAzp9cn1AwR74qZLrA0+AAZ0+uT6gYA/8VMn1gSfAwE6foqM/AbdedDSjGKcR7Nm9M7j6yu3TNvPi50yv9iJMdHIGAS5iZsBjV68EyHWvwkVnZxAg12fAY1evBMh1r8JFZ2cQINdnwGNX7wQoOvoTMutFx+ypl63p6A9PtZ5SdKzmxFb+CnAR42/s6Hk9AXK9nhdb+ytArvsbO3peT4Bcr+fF1v4KkOv+xo6e1xeg6FjfrKs9nBYduzqpto9L0bFtcY7XtgAXMW2Lc7yuBMj1ruQ5btsC5Hrb4hyvKwFyvSt5jtu2ALnetjjH61KAomOX+vWOTdGxnlfh1hQdLSDShGoBLmJUh4fOWRQg1y1i0pRqAXJddXjonEUBct0iJk2pFiDXVYeHzlkWoOhoGdRhc86Ljjtuvz944823C0+Bu1c7jCxNI2BRgIsYi5g0pVqAXFcdHjpnUYBct4hJU6oFyHXV4aFzFgXIdYuYNKVegKKj+hClHXRadPzSV78TbNu6OXjg7jv8EWnQU0Y6NkBjF68EuIjxKlx0dgYBcn0GPHb1SoBc9ypcdHYGAXJ9Bjx29UqAXPcqXHR2RgGKjjMCtri706IjN5JpMZIcCgGHAlzEOMSlaVUC5LqqcNAZhwLkukNcmlYlQK6rCgedcShArjvEpWl1AhQd1YWktEMUHS3EipGOFhBpQrUAFzGqw0PnLAqQ6xYxaUq1ALmuOjx0zqIAuW4Rk6ZUC5DrqsND5ywLUHS0DOqwOadFR5leffOnrg923Hidw1PovmmKjt3HgB64FeAixq0vresRINf1xIKeuBUg19360roeAXJdTyzoiVsBct2tL63rEqDoqCsek3rjtOj40iuvBzu/9USwd8/D/og06ClFxwZo7OKVABcxXoWLzs4gQK7PgMeuXgmQ616Fi87OIECuz4DHrl4JkOtehYvOzihA0XFGwBZ3d1p0lDUdJz24e3WLkeZQCMwgwEXMDHjs6pUAue5VuOjsDALk+gx47OqVALnuVbjo7AwC5PoMeOzqnQBFR39C5rTo6A/DbD1lpONsfuytX4CLGP0xood2BMh1O460ol+AXNcfI3poR4Bct+NIK/oFyHX9MaKH9gQoOtqzdN3SYIuOe5/7RbD7e89Mnfr9xA9+Euz67g8XxSE7SpOio+s0pf2uBbiI6ToCHL8tAXK9LWmO07UAud51BDh+WwLkelvSHKdrAXK96whw/DYFKDq2qT3bsZwXHeVmMs+/8HLUyz27dwZXX7k9kGnXt918Q/DA3XfM1vsGe8s6k7ff9VC052WXXlyp6PjiL18LHn/k3tKjUXRsEAh28UqAixivwkVnZxAg12fAY1evBMh1r8JFZ2cQINdnwGNXrwTIda/CRWdnFKDoOCNgi7s7LTpKwXHb1s1RcXHH7fcHD33tzqjoWHWUoUuHqn2QkY4UHV1GgrZ9EOAixoco0UcbAuS6DUXa8EGAXPchSvTRhgC5bkORNnwQINd9iBJ9tCVA0dGWpPt2nBYdZUTjs08/GmzdsnGs6GhGG3Z5I5k6Rcfs9Oqi0ZGMdHSfqByhWwEuYrr15+jtCZDr7VlzpG4FyPVu/Tl6ewLkenvWHKlbAXK9W3+O3q4ARcd2vWc5mtOio4xu/F8evX9R0bFqwW+WE5u2b9M+yOhNeWSnWx89cWba4fg5Al4LzC9bEvV/4cw5r8+DziMwTYBcnybEz/siQK73JZKcxzQBcn2aED/viwC53pdIch5VBNauWlZlM7ZRIOC06ChTk5/Z+/No3UQzvfoDWzYFN916T3D3Fz8b3Pm5T3dG0LToWDRK8/Dx052dBwdGoA2BFcvjouOp0xQd2/DmGN0JkOvd2XPkdgXI9Xa9OVp3AuR6d/YcuV0Bcr1db47WrcD61cu77QBHryzgtOgovcjeuMX06ttf/3Kw48brKnfSxYY2i45Mr3YRIdrUJMB0DU3RoC8uBch1l7q0rUmAXNcUDfriUoBcd6lL25oEyHVN0aAvrgWYXu1a2F77zouO9rpqt6WyomN++rSM0JSRmuYh33/8mivG7rxN0dFubGhNnwAXMfpiQo/cCJDrblxpVZ8Aua4vJvTIjQC57saVVvUJkOv6YkKP3AlQdHRna7tlp0XHb+56MnjqRz8N8jeMkRvM3HbzDWOFO9snVtZe0cjL7FTvfNFRvn/+hZfT5or6TdGxrehxnK4EuIjpSp7jti1ArrctzvG6EiDXu5LnuG0LkOtti3O8rgTI9a7kOW4XAhQdu1BvdkynRUcZFXjXF25ZNJW66dTmZqfofi+Kju6NOUK3AlzEdOvP0dsTINfbs+ZI3QqQ6936c/T2BMj19qw5UrcC5Hq3/hy9XQGKju16z3I0p0VHGdG4Z/fO4Oort4/1sehmLLOcRNf7UnTsOgIc37UAFzGuhWlfiwC5riUS9MO1ALnuWpj2tQiQ61oiQT9cC5DrroVpX5MARUdN0ZjcF6dFR0Y6+pMI9BSBSQJcxJAfQxEg14cSac6TXCcHhiJArg8l0pwnuU4ODEmAoqM/0XZadJRp1Pc9+Fjw7NOPBlu3bIxU9u0/ENx06z2BhjtY2woTIx1tSdKOVgEuYrRGhn7ZFiDXbYvSnlYBcl1rZOiXbQFy3bYo7WkVINe1RoZ+uRCg6OhC1U2bTouO0uWiG7cUTbl2c3rttErRsR1njtKdABcx3dlz5HYFyPV2vTladwLkenf2HLldAXK9XW+O1p0Aud6dPUduX4CiY/vmTY/ovOjYtGM+7UfR0ado0dcmAlzENFFjHx8FyHUfo0afmwiQ603U2MdHAXLdx6jR5yYC5HoTNfbxVYCioz+Ro+hoIVYUHS0g0oRqAS5iVIeHzlkUINctYtKUagFyXXV46JxFAXLdIiZNqRYg11WHh85ZFqDoaBnUYXPOi45yM5k33ny78BRe/dn3HZ5ae01TdGzPmiN1I8BFTDfuHLV9AXK9fXOO2I0Aud6NO0dtX4Bcb9+cI3YjQK53485RuxGg6NiNe5OjOi06fumr3wm2bd0cPHD3HU365s0+FB29CRUdbSjARUxDOHbzToBc9y5kdLihALneEI7dvBMg170LGR1uKECuN4RjNy8FKDr6EzanRccrPvn5oG83jSkKLUVHfxKenjYT4CKmmRt7+SdArvsXM3rcTIBcb+bGXv4JkOv+xYweNxMg15u5sZefAhQd/YkbRUcLsaLoaAGRJlQLcBGjOjx0zqIAuW4Rk6ZUC5DrqsND5ywKkOsWMWlKtQC5rjo8dM6yAEVHy6AOm3NadJTp1Td/6vpgx43XOTyF7pum6Nh9DOiBWwEuYtz60roeAXJdTyzoiVsBct2tL63rESDX9cSCnrgVINfd+tK6LgGKjrriMak3TouOL73yerDzW08Ee/c87I9Ig55SdGyAxi5eCXAR41W46OwMAuT6DHjs6pUAue5VuOjsDALk+gx47OqVALnuVbjo7IwCFB1nBGxxd6dFR1nTcdKDu1e3GGkOhcAMAlzEzIDHrl4JkOtehYvOziBArs+Ax65eCZDrXoWLzs4gQK7PgMeu3glQdPQnZE6Ljv4wzNZTRjrO5sfe+gW4iNEfI3poR4Bct+NIK/oFyHX9MaKHdgTIdTuOtKJfgFzXHyN6aE+AoqM9S9ctUXS0IEzR0QIiTagW4CJGdXjonEUBct0iJk2pFiDXVYeHzlkUINctYtKUagFyXXV46JxlAYqOlkEdNue86CjrOt5+10Njp7Bn987g6iu3Ozytdpum6NiuN0drX4CLmPbNOWI3AuR6N+4ctX0Bcr19c47YjQC53o07R21fgFxv35wjdidA0bE7+7pHdlp03PvcL4L7HnwsePbpR4OtWzZGfdu3/0Bw0633BN/++pd7c1drio51047tfRPgIsa3iNHfpgLkelM59vNNgFz3LWL0t6kAud5Ujv18EyDXfYsY/Z1FgKLjLHrt7uu06Ljj9vuDu75wy6LiohQjd3/vmd7c1ZqiY7tJy9HaF+Aipn1zjtiNALnejTtHbV+AXG/fnCN2I0Cud+POUdsXINfbN+eI3QlQdOzOvu6RnRYd5e7VRVOpzZRr7l5dN1xsj0A3AlzEdOPOUdsXINfbN+eI3QiQ6924c9T2Bcj19s05YjcC5Ho37hy1GwGKjt24Nzmq06IjIx2bhIR9ENAnwEWMvpjQIzcC5LobV1rVJ0Cu64sJPXIjQK67caVVfQLkur6Y0CN3AhQd3dnabtlp0ZE1HW2Hi/YQ6EaAi5hu3Dlq+wLkevvmHLEbAXK9G3eO2r4Aud6+OUfsRoBc78ado3YjQNGxG/cmR3VadJQOcffqJmFhHwR0CXARoyse9MadALnuzpaWdQmQ67riQW/cCZDr7mxpWZcAua4rHvTGrQBFR7e+Nlt3XnS02VmtbXEjGa2RoV+2BLiIsSVJO9oFyHXtEaJ/tgTIdVuStKNdgFzXHiH6Z0uAXLclSTs+CFB09CFKcR+dFh2/uevJ4Kkf/TTI3zBGbjBz2803BA/cfYc3UpPuuE3R0Zsw0tGGAlzENIRjN+8EyHXvQkaHGwqQ6w3h2M07AXLdu5DR4YYC5HpDOHbzUoCioz9hc1p07MONZLLTwy+79OJg756HF0WXoqM/CU9PmwlwEdPMjb38EyDX/YsZPW4mQK43c2Mv/wTIdf9iRo+bCZDrzdzYy08Bio7+xM1p0VFGNO7ZvTO4+srtYyKmkJcfAamZjZGOmqND31wLcBHjWpj2tQiQ61oiQT9cC5DrroVpX4sAua4lEvTDtQC57lqY9jUJUHTUFI3JfXFadOzDSEfDR9HRn6Smp/YFuIixb0qLOgXIdZ1xoVf2Bch1+6a0qFOAXNcZF3plX4Bct29Ki3oFKDrqjU2+Z06LjlKou+/Bx4Jnn3402LplY3TsffsPBDfdek/w7a9/Odhx43XeSE0qOp44ddab86CjCDQRWLZ0LtrtzNnzTXZnHwS8ESDXvQkVHZ1RgFyfEZDdvREg170JFR2dUYBcnxGQ3b0SWLViqVf9HXJnnRYdBTa7JqKBLppyrT0Ik4qO7x9d0N59+ofATAKr5uMX9RMLFNhngmRn9QLkuvoQ0UFLAuS6JUiaUS9ArqsPER20JECuW4KkGS8ELlw770U/6aTju1f3CZjp1X2KJudSV4DpGnXF2N5XAXLd18jR77oC5HpdMbb3VYBc9zVy9LuuALleV4ztfRZgerU/0XM+0tEfisk9pejYl0hyHk0EuIhposY+PgqQ6z5GjT43ESDXm6ixj48C5LqPUaPPTQTI9SZq7OOrAEVHfyJH0XFKrIqmh9/9xc8Gd37u0+mev3/vhD8Rp6cINBDgIqYBGrt4KUCuexk2Ot1AgFxvgMYuXgqQ616GjU43ECDXG6Cxi7cCFB39CR1FRwuxouhoAZEmVAtwEaM6PHTOogC5bhGTplQLkOuqw0PnLAqQ6xYxaUq1ALmuOjx0zrIARUfLoA6bo+hoAZeiowVEmlAtwEWM6vDQOYsC5LpFTJpSLUCuqw4PnbMoQK5bxKQp1QLkuurw0DnLAhQdLYM6bI6iowVcio4WEGlCtQAXMarDQ+csCpDrFjFpSrUAua46PHTOogC5bhGTplQLkOuqw0PnLAtQdLQM6rA5io4WcCk6WkCkCdUCXMSoDg+dsyhArlvEpCnVAuS66vDQOYsC5LpFTJpSLUCuqw4PnbMsQNHRMqjD5ig6WsCl6GgBkSZUC3ARozo8dM6iALluEZOmVAuQ66rDQ+csCpDrFjFpSrUAua46PHTOsgBFR8ugDpuj6GgBl6KjBUSaUC3ARYzq8NA5iwLkukVMmlItQK6rDg+dsyhArlvEpCnVAuS66vDQOcsCFB0tgzpsjqKjBVyKjhYQaUK1ABcxqsND5ywKkOsWMWlKtQC5rjo8dM6iALluEZOmVAuQ66rDQ+csC1B0tAzqsDmKjhZwKTpaQKQJ1QJcxKgOD52zKECuW8SkKdUC5Lrq8NA5iwLkukVMmlItQK6rDg+dsyxA0dEyqMPmKDpawKXoaAGRJlQLcBGjOjx0zqIAuW4Rk6ZUC5DrqsND5ywKkOsWMWlKtQC5rjo8dM6yAEVHy6AOm6PoaAGXoqMFRJpQLcBFjOrw0DmLAuS6RUyaUi1ArqsOD52zKECuW8SkKdUC5Lrq8NA5ywIUHS2DOmyOoqMFXIqOFhBpQrUAFzGqw0PnLAqQ6xYxaUq1ALmuOjx0zqIAuW4Rk6ZUC5DrqsND5ywLUHS0DOqwOYqOFnApOlpApAnVAlzEqA4PnbMoQK5bxKQp1QLkuurw0DmLAuS6RUyaUi1ArqsOD52zLEDR0TKow+YoOlrApehoAZEmVAtwEaM6PHTOogC5bhGTplQLkOuqw0PnLAqQ6xYxaUq1ALmuOjx0zrIARUfLoA6bo+hoAZeiowVEmlAtwEWM6vDQOYsC5LpFTJpSLUCuqw4PnbMoQK5bxKQp1QLkuurw0DnLAhQdLYM6bI6iowVcio4WEGlCtQAXMarDQ+csCpDrFjFpSrUAua46PHTOogC5bhGTplQLkOuqw0PnLAtQdLQM6rA5io4WcCk6WkCkCdUCXMSoDg+dsyhArlvEpCnVAuS66vDQOYsC5LpFTJpSLUCuqw4PnbMsQNHRMqjD5ig6WsCl6GgBkSZUC3ARozo8dM6iALluEZOmVAuQ66rDQ+csCpDrFjFpSrUAua46PHTOsgBFR8ugDpuj6GgBl6KjBUSaUC3ARYzq8NA5iwLkukVMmlItQK6rDg+dsyhArlvEpCnVAuS66vDQOcsCFB0tgzpsjqKjBVyKjhYQaUK1ABcxqsND5ywKkOsWMWlKtQC5rjo8dM6iALluEZOmVAuQ66rDQ+csC1B0tAzqsDmKjhZwKTpaQKQJ1QJcxKgOD52zKECuW8SkKdUC5Lrq8NA5iwLkukVMmlItQK6rDg+dsyxA0dEyqMPmKDpawKXoaAGRJlQLcBGjOjx0zqIAuW4Rk6ZUC5DrqsND5ywKkOsWMWlKtQC5rjo8dM6yAEVHy6AOm6PoaAGXoqMFRJpQLcBFjOrw0DmLAuS6RUyaUi1ArqsOD52zKECuW8SkKdUC5Lrq8NA5ywIUHS2DOmyOoqMFXIqOFhBpQrUAFzGqw0PnLAqQ6xYxaUq1ALmuOjx0zqIAuW4Rk6ZUC5DrqsND5ywLUHS0DOqwOYqOFnApOlpApAnVAlzEqA4PnbMoQK5bxKQp1QLkuurw0DmLAuS6RUyaUi1ArqsOD52zLEDR0TKow+YGWXT80le/Ezz/wssR6/XXXhU8/si9pcRP/OAnwa7v/nDRz1/92ffT5yg6OsxQmlYhwEWMijDQiRYEyPUWkDmECgFyXUUY6EQLAuR6C8gcQoUAua4iDHSiJQGKji1BWzjM4IqO39z1ZPDWvnfSQqMUILdt3Rw8cPcdhZxSdHzxl69NLExSdLSQiTShWoCLGNXhoXMWBch1i5g0pVqAXFcdHjpnUYBct4hJU6oFyHXV4aFzlgUoOloGddjc4IqOO26/P3joa3cGV1+5PWJ96ZXXg53feiLYu+dhio4OE42m/RbgIsbv+NH76gLkenUrtvRbgFz3O370vroAuV7dii39FiDX/Y4fva8nQNGxnleXWw+q6Lhv/4HgplvvCZ59+tFg65aNkXvRc9mA5KdXX3bpxYsKlIx07DKFOXYbAlzEtKHMMTQIpLl+/HQQnDsXBOfPB+Efyuhr+H/x15L/5qJNCn6e2y9tr2Db8+fOB/Jf+L/w+OH/me+lK8m/z4f7nTsr38vhwm3OhvuEX+Ofx8+Zf58zbUi3pN3w51GbyfdRW0nbUTeTbeI2TFvmWPHPZbuYJrONeS5te9Q/cyyJb3ys5FzS/RO2pM247bmE0hxjnDYJTfSktHcu2j45ryRUZhvDPNpn1Fa8X/H3JmzRKcepEP2XEER9HNsm01a+3fjcw2NFKRIfM9omTZm4rfxzcRokfQwy+0VhyLYz6os8P9onPt65aNvM8aPjLkl+5cLGwt3D/0WPuTCRs/+Wn4w9Jx2dC5+THiQbpl8zz5lG5GfxkaPd0q+Fx1jU3mif8BdRWhj1xfQ5+Rq1PXYe8ff545rvF/Vd9i3a3jwX7RhvU76v9G/UD3GLrZK+ZPucPJm2l/4sbkP+i8443W5kGB8jOZbZZuy58GdheCP39PiZdguOlbY35hnvIxkR9SlJmezxi/sSNzKXQI3O0fgkX5fEuGNtmPMy+0bHNMfPbp8YmJ+PbZeAJ8+tWrE06supM+FvwtK5YInYSPvhv+XrkvBrdP7p9+H+Yd8iw3DjufDf0T5Lw39LF8Jv4n1Gz8VtJv9J19Lv498T+W9sm0wulf4832auDfmdyLcZfZ/JiezP498GHn0W4Hq9z9Hl3PICFB39yQmKjgWFyEnhk+nY8siuA7lwWt7F8RiMwISiw6SCxORiRa5QkS9u5N89O+jDpP7JtbW87Th3przgEr/5T970nz0XvzFPiyThG+eoMJJ7zhRJMkWQfDEjKq6kBZJswcIULgoKIKawEXU3KUqkRYNREWPsWEmhZ1RciPu7qOCQKT6YIkdUTDDHioov499H7aTPRZSmnlVa8EiPnSNPiwlJP8aKG9K0KVyk+0kBYlSgGBVOJhcy4u2WjBVFygsio2LGaJvMc0lxJGoa6MzIAAAX6klEQVTTFETMc6ZwEoTHSvuZK5Jkt8nuV9DWOWkns030vWk3LpMkhZ3439H3RduYdpJt0u1qfF+0z7R2BvM6yokigAACCLQqYP7qLYk+WEiKoeHXJfKxRFRDjZ/P/zwqmI5tIzXZzD7y83yb8n1awI7/bbYxHw4sWZLph/l5Zh+pSUcfeJii7VibppAbf0gSF9mlsDvaPj5mphicFn/NNnExOy7Mjp6L2xh9gJAWbpNi9eICshSlw32kUJ0U26N9MkVjKVLHhftR8T/7nHQ+3me0nSmOx8VvOUZSCDftyHOmXelv+P3SZfHX6CFtys+j/cy+yT7pc5k2kufSffLFcmmypIC+qKCej0O2gF6xjcKCei6ei7bJx9vCcZPPP1r9XeVg1QTml5sPT6ttz1bdCVB0rFl0lOnYt9/1UGBuJHPwa98Kjp08OxoFkY5QMaMi4hErY4WMaFTG+HNSkIjrTKYwI0WJ0b+jkk9RoWKsAJIZEZEflZEUIKJjhG1lCyCTihvZ2teouJGMrsgWEsYKI6bgEhcdFo8kyRQyovMqGJWRGwEi7cSjQyYUN0wxIVNgMcWE6FIq2fdcWkjJnkfSbr4oYYokFYoSabFjxqKEtnamFUmyP+/upYwjI9APgegNX+4NYPpc/k1i9AbAlE4zbxSjN47Jm8Lk32Y7edOXlKDjN1v5Y0XPyRsu027yRrHoDWV6/Ow28RvX6M1Odp9k9Fz0nHkjGfXRHMu8mUm+T9945tsx+5gRRZk3s8mbjegN7aI3sLn9MtvE25t2cm9Qw+vZ7JvW9LzG3tgkbzgzxx9/I2Te2I7eyGbftJr+Rm8qozeT2Te/SX+SN05yYovaHntzG7+5HL3hjQKajuyK3wTH/Vk5H1+sn5IPTpNrD/NVrguSan3ys/jDGnMtEm8XX6PEHziNfibPS/5Fo2JNM2a7/Ndou2jrpA250ImvhUbHGl0bRdvJCNNk+3iz0b5m9Gl6PtH28fVW2t7Yc8k5JP2MLlrS9sx1XPJcNLI1M5o2u4+5xkrajveI9zfXUdG+0XNJ/5OfpceM2hj/WdqGaSvraQ6Sey49ZsGxxvoURyn9UMb0L3aKr49S76jvyXhV029zXGkn+bnZPtnVnNrYvvmfxddnSXyScxo5xY7m2jX1ifpuUjS5fo6bSK/1zM/jZ+NrQEmD6Jp37EMuM8JY2jTXhfJhVea60OxjrnsLPqxqcu2W38d1GwkRXxBAoIZAtkCfXltF1yhJwVtGHGeud+QFK73WSa7b4p+ba7bs9UiujfilLbomGSu6h8/FRfpM4TdTkE9HWeeeG11zZa6LpLgs/Yq+Zq854uuDfOF+VDzPFukz10rJtYtcaywqSidF9HR0eXSNkyuwR6PN432jEebRtVTyXNjDtGBeUJR/eNfaGpFk0y4FBlV0FOi6azrmg5MvOvLpR5fpy7G1CdT65Dz6wymT/kaFk/E/ykkRIC2AmD/Co2JINHUt+hs1XriYWOwwhZv0E/OiT9FzzyV9HCs4JH/48xcB2U/ljUdaJDDnKnUAeb9vChdlbRV+Ujz6lDzuT/YPf/G/80WKdL+iC4TkgiBbnDAXAOmFR+7T/tFFwuJP6qP4Rp+0m77JFDZTSBn/RD+a3hYdPzP9Lb3IMIWUuIiSXpBE+4w+wY+nx8VtpMUW84l+sl06lc7sl0ypk6lza1cti/Y/cfpMHJ80NhlbY577BL1oRMWogJRc8Jl9knajWGTa0fY7TX/6K8A0vP7GljMbF3Ce65lRAfHyGWYqQnYEQHi9I5csYzNXRtuly26Yn2e2mytpL/p8J91u/FhSXR39TKqm55LZKLI8R1wlPy9fZbCEzERJZ6okHyiky3bI6YSzV6IlPWTURHgO4b6j2SvSbjybxXwAIdulJEm70XGki+FMGFOIN21EfYu7OOpHOlMmvJLKzpoxvPmlPqLn5RhSOJZvkgJzdtmRdN/RBwrZAR3xPqM2kmbSJTzSpUlitrgwbdxMQTo5RnbARdqX7DbR+ZqBFGKaXUoj6bsZbBGfTtyPpGAuGR4PGskOyIjKXcnz8u/MzI7EQ65q4hkpowEi0fIb2YK6+bl53hTZZ/i+zgAGc5Xvughfdpyi4/KaqlPAfGCls3f0KiswuKLjtLtX56dPS5Eye5MZ+f7j11yR3u1aihsXrDyZjArJfTKRFhiSAkZaXFk8UiNeg2VU6BgvbiweyRG9qZb2TFGitAASHystbkRFitFx0k9GcuvGjN4EZ7bNv8FOR17EBYDsyI3F7ZpCQPYN9ui50Sc08Scg2ekH8Sci8QmnxQ/zRj2dhpDbxjwvxYTIKVfcyBxjNF0hLlzEI0lG/zbHzxZhxgpGSb8mr9WTxDBnmBYckvjlDc05F00fGHkUt22mmmRtF09/yBRSCoorZr2g9Ukh5uipM8kIoni/fP94eUXAdwHnb059B6L/vREg13sTSk5kigC5TooMRcBqrpt1rScWtpNqZrZ6m1kEOS18Z4vt0eLSi4vio2pp8rNR5dhUkEdrbGeL88l2xceK+5cW7rP9zBb2J5xjEBbK488Scutly5NJcT4uqGcK9smIfVOUjgvsyaj8qFA9KtwHUfE6LOwLS2aWYzTj0RTiw3OMZkUm+6btZgr1UWE/aisunptTjXiSdsdX64qGcBfOvoxHzMej88dmR2b6NypcZ48b71e2XrYJaTzL0RT/4w8K4pmI8WyGUUE93kYe+fWt5bkHjv+jofxqe3+egys6SsSksPj8Cy9Hwbv+2qvG1mfMFx2z28r2t918Q1pwNNHnRjLe/x5wAlywkwMIRAJWL9gxRUCxALmuODh0zaoAuW6Vk8YUC5DrioND16wLcCMZ66TOGhxk0dG2JkVH26K0p02AixhtEaE/rgTIdVeytKtNgFzXFhH640qAXHclS7vaBMh1bRGhPy4FKDq61LXbNkVHC54UHS0g0oRqAS5iVIeHzlkUINctYtKUagFyXXV46JxFAXLdIiZNqRYg11WHh85ZFqDoaBnUYXMUHS3gUnS0gEgTqgW4iFEdHjpnUYBct4hJU6oFyHXV4aFzFgXIdYuYNKVagFxXHR46Z1mAoqNlUIfNUXS0gEvR0QIiTagW4CJGdXjonEUBct0iJk2pFiDXVYeHzlkUINctYtKUagFyXXV46JxlAYqOlkEdNkfR0QIuRUcLiDShWoCLGNXhoXMWBch1i5g0pVqAXFcdHjpnUYBct4hJU6oFyHXV4aFzlgUoOloGddgcRUcLuBQdLSDShGoBLmJUh4fOWRQg1y1i0pRqAXJddXjonEUBct0iJk2pFiDXVYeHzlkWoOhoGdRhcxQdLeBSdLSASBOqBbiIUR0eOmdRgFy3iElTqgXIddXhoXMWBch1i5g0pVqAXFcdHjpnWYCio2VQh81RdHSIS9MIIIAAAggggAACCCCAAAIIIIAAAggMUYCi4xCjzjkjgAACCCCAAAIIIIAAAggggAACCCDgUICio0NcmkYAAQQQQAABBBBAAAEEEEAAAQQQQGCIAhQdhxh1zhkBBBBAAAEEEEAAAQQQQAABBBBAAAGHAhQdG+J+6avfCZ5/4eVo7+uvvSp4/JF7G7bEbgjoF9j73C+C3d97Jti752H9naWHCDQQ+OauJ4OnfvTTdE9e1xsgsosXAk/84CfBru/+kFz3Ilp00paAXMfc9+BjwZ7dO4Orr9xuq1naQUCFQP513XTq1Z99X0X/6AQCtgWu+OTn0ya//fUvBztuvM72IWjPogBFxwaY8ub0rX3vpIVGKUBu27o5eODuOxq0xi4I6BV46ZXXg9vveijq4GWXXkzRUW+o6NmMAjtuv38sv+X7W3Z8Irjzc5+esWV2R0CXgFyzZD8o5RpGV3zojX0B88HpG2++TdHRPi8tKhCQouOLv3yNQTAKYkEX3Ars238guOnWewIKjW6dbbdO0bGBqLwZfehrd6aflEphZue3nqAg08CSXfwQYKSjH3Gil/YEuIC3Z0lLugXIdd3xoXezCWSvX2RkDCMdZ/Nkb50CvI7rjAu9si8gg78uuXgTgwLs0zptkaJjTV5TXX/26UeDrVs2RnsXPVezWTZHQLUARUfV4aFzDgRk9NfHPno5FzUObGlSl4B8kPrxa65gtoausNAbCwL5axeKjhZQaUKlQH56NbOTVIaJTlkQkNdxyW8ZuW4e2bqMhUPQhAMBio41USk61gRj814IUHTsRRg5iYoC5uKdtZAqgrGZlwJSbJSLdtYv9TJ8dHqKQNF1C0VH0mYoAvLBqTy458BQIj6M8zR1mOyIda7Z/Yg9RceacaLoWBOMzXshQNGxF2HkJCoImJsN8KlpBSw26YVAfp3qXpwUJzF4gfzNwbIgrAU2+PToPYBZk50PT3sf6kGdYNnsUj5Q0p8GFB0bxIg1HRugsYvXAhQdvQ4fna8owKelFaHYrFcCvDntVTg5mQkCvDElPYYiwOv6UCI9vPMseh3ntV1/HlB0bBAj7l7dAI1dvBag6Oh1+Oh8BQGmIlVAYpNeCOTv1E7u9yKsnEQFAd6YVkBiEy8F8q/rrNXrZRjpdAUBqcP8xb99Nb2BrwwYeGbvz7mhbwW7Ljeh6NhQXy7Sn3/h5Whv1kNqiMhu6gXMJ6XZjt79xc9ycw31kaODdQTMdI2ifbjTaR1JtvVBIHv9wjWMDxGjj7YEKDrakqQdbQL51/Xbbr6Bm4NpCxL9sSaQXT6DmyZZY3XaEEVHp7w0jgACCCCAAAIIIIAAAggggAACCCCAwPAEKDoOL+acMQIIIIAAAggggAACCCCAAAIIIIAAAk4FKDo65aVxBBBAAAEEEEAAAQQQQAABBBBAAAEEhidA0XF4MeeMEUAAAQQQQAABBBBAAAEEEEAAAQQQcCpA0dEpL40jgAACCCCAAAIIIIAAAggggAACCCAwPAGKjsOLOWeMAAIIIIAAAggggAACCCCAAAIIIICAUwGKjk55aRwBBBBAAAEEEEAAAQQQQAABBBBAAIHhCVB0HF7MOWMEEEAAAQQQQAABBBBAAAEEEEAAAQScClB0dMpL4wgggAACCCCAAAIIIIAAAggggAACCAxPgKLj8GLOGSOAAAIIIIAAAggggAACCCCAAAIIIOBUgKKjU14aRwABBBBAAAEEEEAAAQQQQAABBBBAYHgCFB2HF3POGAEEEEAAAQQQQAABBBBAAAEEEEAAAacCFB2d8tI4AggggAACCCCAAAIIIIAAAggggAACwxOg6Di8mHPGCCCAAAIIIIAAAggggAACCCCAAAIIOBWg6OiUl8YRQAABBBBAAAEEEEAAAQQQQAABBBAYngBFx+HFnDNGAAEEEEAAAQQQQAABBBBAAAEEEEDAqQBFR6e8NI4AAggggAACCCCAAAIIIIAAAggggMDwBCg6Di/mnDECCCCAAAIIIIAAAggggAACCCCAAAJOBSg6OuWlcQQQQAABBBBAoP8CX/rqd4JtWzcHD9x9R/9PljNEAAEEEEAAAQQQqCRA0bESExshgAACCCCAAAL1BZ74wU+CXd/94aId7/7iZ4M7P/fp6PmXXnk9uP2uh4I9u3cGV1+5vf5BFOxB0VFBEOgCAggggAACCCCgTICio7KA0B0EEEAAAQQQ6I+AFB2f2fvzYO+eh9OT2rf/QHDTrfcE3/76l4MdN17Xi5Ol6NiLMHISCCCAAAIIIICAVQGKjlY5aQwBBBBAAAEEEBgJFBUd5ac7br8/uGXHJ6LRjqYI+ezTjwZbt2wMTAFPtnvqRz+NGrvs0ovHCpdFxlX2k20+9tHL01GW0s43dz0ZvLXvneDxR+6NmjV9k2LpG2++HT0nBdKtF2+MRmSah+mvfF/l2OZY5pzk+2ltZH9OXiGAAAIIIIAAAgj4JUDR0a940VsEEEAAAQQQ8EigqOi497lfBPc9+FhacCsqOj7/wstjIyGlEPjxa66YuGaiFP6m7Ve16CjFRlPwM/3NFj6lHXmYQmXRsfPb5Iubpt1Xf/b9qK2iNjwKNV1FAAEEEEAAAQQQyAlQdCQlEEAAAQQQQAABRwJlazpmC3hlIx2zN2WRdl785Wtpka+ou0VTnPP7VS06mlGYcpx8/+S5fDG16NhmrUopXspDppTnRy5KMfWuL9wSTTNnirajJKRZBBBAAAEEEECgIwGKjh3Bc1gEEEAAAQQQ6L9A2fRqGfUn04xllJ8vRcfsjW5klOLu7z2TTvkuKhia85L95JGdmp2NvFnbkqJj/38fOEMEEEAAAQQQGJYARcdhxZuzRQABBBBAAIEWBcqKjtKFKz75+WgK9dVXbR8bBVhlxGLRKVTZb5aRjjaKjmYqddX+txgqDoUAAggggAACCCBgWYCio2VQmkMAAQQQQAABBIxAWdExewfrtouO27ZuHlsbsuxGMnKTG3lkRyxefeX26LkqIx3N9OrsaM5s4TKfJYx05PcGAQQQQAABBBDolwBFx37Fk7NBAAEEEEAAAUUCZUVHc9OUtqdX5/tjCoPXX3vVortXz1p0lJGcd3/xs+mdsrNTyrNF2Wv+5MOBFDMpOipKXLqCAAIIIIAAAghYEKDoaAGRJhBAAAEEEEAAgSIBbTeSkT7KzVvk7tTykGKjjHx8a987Mxcd5c7Z2Ue24GieN4XH7HbZu1fnR2GSVQgggAACCCCAAAL+ClB09Dd29BwBBBBAAAEEEEAAAQQQQAABBBBAAAGVAhQdVYaFTiGAAAIIIIAAAggggAACCCCAAAIIIOCvAEVHf2NHzxFAAAEEEEAAAQQQQAABBBBAAAEEEFApQNFRZVjoFAIIIIAAAggggAACCCCAAAIIIIAAAv4KUHT0N3b0HAEEEEAAAQQQQAABBBBAAAEEEEAAAZUCFB1VhoVOIYAAAggggAACCCCAAAIIIIAAAggg4K8ARUd/Y0fPEUAAAQQQQAABBBBAAAEEEEAAAQQQUClA0VFlWOgUAggggAACCCCAAAIIIIAAAggggAAC/gpQdPQ3dvQcAQQQQAABBBBAAAEEEEAAAQQQQAABlQIUHVWGhU4hgAACCCCAAAIIIIAAAggggAACCCDgrwBFR39jR88RQAABBBBAAAEEEEAAAQQQQAABBBBQKUDRUWVY6BQCCCCAAAIIIIAAAggggAACCCCAAAL+ClB09Dd29BwBBBBAAAEEEEAAAQQQQAABBBBAAAGVAhQdVYaFTiGAAAIIIIAAAggggAACCCCAAAIIIOCvAEVHf2NHzxFAAAEEEEAAAQQQQAABBBBAAAEEEFApQNFRZVjoFAIIIIAAAggggAACCCCAAAIIIIAAAv4KUHT0N3b0HAEEEEAAAQQQQAABBBBAAAEEEEAAAZUCFB1VhoVOIYAAAggggAACCCCAAAIIIIAAAggg4K8ARUd/Y0fPEUAAAQQQQAABBBBAAAEEEEAAAQQQUClA0VFlWOgUAggggAACCCCAAAIIIIAAAggggAAC/gpQdPQ3dvQcAQQQQAABBBBAAAEEEEAAAQQQQAABlQIUHVWGhU4hgAACCCCAAAIIIIAAAggggAACCCDgrwBFR39jR88RQAABBBBAAAEEEEAAAQQQQAABBBBQKUDRUWVY6BQCCCCAAAIIIIAAAggggAACCCCAAAL+ClB09Dd29BwBBBBAAAEEEEAAAQQQQAABBBBAAAGVAhQdVYaFTiGAAAIIIIAAAggggAACCCCAAAIIIOCvAEVHf2NHzxFAAAEEEEAAAQQQQAABBBBAAAEEEFApQNFRZVjoFAIIIIAAAggggAACCCCAAAIIIIAAAv4KUHT0N3b0HAEEEEAAAQQQQAABBBBAAAEEEEAAAZUCFB1VhoVOIYAAAggggAACCCCAAAIIIIAAAggg4K8ARUd/Y0fPEUAAAQQQQAABBBBAAAEEEEAAAQQQUClA0VFlWOgUAggggAACCCCAAAIIIIAAAggggAAC/gpQdPQ3dvQcAQQQQAABBBBAAAEEEEAAAQQQQAABlQIUHVWGhU4hgAACCCCAAAIIIIAAAggggAACCCDgrwBFR39jR88RQAABBBBAAAEEEEAAAQQQQAABBBBQKUDRUWVY6BQCCCCAAAIIIIAAAggggAACCCCAAAL+ClB09Dd29BwBBBBAAAEEEEAAAQQQQAABBBBAAAGVAhQdVYaFTiGAAAIIIIAAAggggAACCCCAAAIIIOCvwP8PLmmoxe9GYVoAAAAASUVORK5CYII=",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"bio.visualize_system(title_prefix=\"Reaction-Diffusion A + B <-> C\") # Line curve view"
]
},
{
"cell_type": "code",
"execution_count": 34,
"id": "c65d98be-b1e2-41f8-9a67-f4ad15ebcb91",
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.plotly.v1+json": {
"config": {
"plotlyServerURL": "https://plot.ly"
},
"data": [
{
"colorbar": {
"title": {
"text": "Concentration"
}
},
"colorscale": [
[
0,
"rgb(254, 254, 253)"
],
[
0.09090909090909091,
"rgb(224, 224, 223)"
],
[
0.18181818181818182,
"rgb(197, 197, 195)"
],
[
0.2727272727272727,
"rgb(171, 171, 170)"
],
[
0.36363636363636365,
"rgb(146, 146, 145)"
],
[
0.45454545454545453,
"rgb(124, 123, 122)"
],
[
0.5454545454545454,
"rgb(102, 101, 101)"
],
[
0.6363636363636364,
"rgb(81, 80, 80)"
],
[
0.7272727272727273,
"rgb(59, 59, 59)"
],
[
0.8181818181818182,
"rgb(38, 38, 38)"
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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"bio.system_heatmap(title_prefix=\"Reaction-Diffusion A + B <-> C\")"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "abe80acf-6a9c-4d59-b08d-4f1099dfdc03",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "markdown",
"id": "9f9285af",
"metadata": {},
"source": [
"### Advance to time t=1.936"
]
},
{
"cell_type": "code",
"execution_count": 35,
"id": "d7afc37d",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"\n",
"+++++++++++++++ 150 steps later:\n",
"SYSTEM STATE at Time t = 1.036:\n",
"[[0.47744061 0.4845086 0.49346999 0.49747162 0.49331726 0.48423339\n",
" 0.47709743]\n",
" [0.47709743 0.48423339 0.49331726 0.49747162 0.49346999 0.4845086\n",
" 0.47744061]\n",
" [2.11014111 2.3007984 2.55138084 2.66782039 2.55138084 2.3007984\n",
" 2.11014111]]\n",
"\n",
"+++++++++++++++ 150 steps later:\n",
"SYSTEM STATE at Time t = 1.336:\n",
"[[0.48168804 0.48554921 0.49041386 0.49259511 0.49040626 0.48553552\n",
" 0.48167096]\n",
" [0.48167096 0.48553552 0.49040626 0.49259511 0.49041386 0.48554921\n",
" 0.48168804]\n",
" [2.2288825 2.33377315 2.46847456 2.52988061 2.46847456 2.33377315\n",
" 2.2288825 ]]\n",
"\n",
"+++++++++++++++ 150 steps later:\n",
"SYSTEM STATE at Time t = 1.636:\n",
"[[0.48405962 0.48615505 0.48878337 0.48995858 0.48878299 0.48615437\n",
" 0.48405877]\n",
" [0.48405877 0.48615437 0.48878299 0.48995858 0.48878337 0.48615505\n",
" 0.48405962]\n",
" [2.29360822 2.350868 2.42345244 2.45618991 2.42345244 2.350868\n",
" 2.29360822]]\n",
"\n",
"+++++++++++++++ 150 steps later:\n",
"SYSTEM STATE at Time t = 1.936:\n",
"[[0.48534444 0.4864795 0.48789956 0.48853323 0.48789955 0.48647947\n",
" 0.4853444 ]\n",
" [0.4853444 0.48647947 0.48789955 0.48853323 0.48789956 0.4864795\n",
" 0.48534444]\n",
" [2.32876222 2.35988613 2.39905402 2.4166151 2.39905402 2.35988613\n",
" 2.32876222]]\n"
]
}
],
"source": [
"# Continue the simulation\n",
"for _ in range(4):\n",
" print(\"\\n+++++++++++++++ 150 steps later:\")\n",
" bio.react_diffuse(time_step=delta_t, n_steps=150)\n",
" bio.describe_state(concise=True)"
]
},
{
"cell_type": "code",
"execution_count": 36,
"id": "4616fa81",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"SYSTEM SNAPSHOT at time 1.936:\n"
]
},
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" A | \n",
" B | \n",
" C | \n",
"
\n",
" \n",
" \n",
" \n",
" | 0 | \n",
" 0.485344 | \n",
" 0.485344 | \n",
" 2.328762 | \n",
"
\n",
" \n",
" | 1 | \n",
" 0.486480 | \n",
" 0.486479 | \n",
" 2.359886 | \n",
"
\n",
" \n",
" | 2 | \n",
" 0.487900 | \n",
" 0.487900 | \n",
" 2.399054 | \n",
"
\n",
" \n",
" | 3 | \n",
" 0.488533 | \n",
" 0.488533 | \n",
" 2.416615 | \n",
"
\n",
" \n",
" | 4 | \n",
" 0.487900 | \n",
" 0.487900 | \n",
" 2.399054 | \n",
"
\n",
" \n",
" | 5 | \n",
" 0.486479 | \n",
" 0.486480 | \n",
" 2.359886 | \n",
"
\n",
" \n",
" | 6 | \n",
" 0.485344 | \n",
" 0.485344 | \n",
" 2.328762 | \n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" A B C\n",
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4G//Z35nfot21Zh1idt0i2L4trPliY9kLma4Xa13vtde+tTodU98XxKt+hJaFT/Uxt4ONiNCxy6V5S2Z9RVdXz7pq7roCpuuW264AsO8VV4ssV4WKq0LJZT0a6krHyA8jqOdz2Xtudh3jOu8ruWqO0/cX3Yabvtf+JUQ9Q31u6Vy270XvDbhq/UU/W81am0FT1wwtCuPqfXcFsGmb3/67f3v2YTRDho7pttLmPCz69OquXwK1j6vr2JuBd/ttFtrH3X57iEU+7ef9dZ5j+z5vrxtsdbl1PU8253+dn8NFt4YPETqmGuv9tWtMx/T0N769MMCvfwaX3cre5zli2WP69Kb+uV11Nfait3voOv5FvzDpeg5Z9rO97fHbngABAgQIECBAgEAtIHRszMKy0LF5y1wdnC16z7N2ENl+v6/0IiMFk12fZtz+gIP2i972+5vVtSx6Udv+0ICuYGSdF8R9Xmh1PWbRVWMRoWPaX/t9sFIA8eYrXl+lT9htvijt+hCFdr8WBYft3nSFHNuEjn1un97mjf8jQsd1ensSnma73quvPcurQsF1HBa9V92yK1RXhSd1KNysY9kn3KbHdb0HbftDtpoOQ4WOqZb2z136WjtoWufnrm2cbFNI1fxE6rSPOuxpH3c7JOp6D772jKz7HNvneTvVuOjvg0Uz1378oufJtH3baVU4lrZp/rzUf9cMFTp2HX993H3D0q561/l5bT+2a1brx7T9FoWO7eecPj/7zTqWvR1Ce+0+b52wjYdtCRAgQIAAAQIECAgdzQABAgQKFehzRVWhh7bzsod8z7+dH5wCCBAgQIAAAQIECBAgMIKA0HEEZLsgQIDAEALb3G4/RD0naU2h40nqpmMhQIAAAQIECBAgQGAXAkLHXajbJwECBLYUiPgAny1LONGbCx1PdHsdHAECBAgQIECAAAECIwgIHUdAtgsCBAgQIECAAAECBAgQIECAAAECUxIQOk6p246VAAECBAgQIECAAAECBAgQIECAwAgCQscRkO2CAAECBAgQIECAAAECBAgQIECAwJQEhI5T6rZjJUCAAAECBAgQIECAAAECBAgQIDCCgNBxBGS7IECAAAECBAgQIECAAAECBAgQIDAlAaHjlLrtWAkQIECAAAECBAgQIECAAAECBAiMICB0HAHZLggQIECAAAECBAgQIECAAAECBAhMSUDoOKVuO1YCBAgQIECAAAECBAgQIECAAAECIwgIHUdAtgsCBAgQIECAAAECBAgQIECAAAECUxIQOk6p246VAAECBAgQIECAAAECBAgQIECAwAgCQscRkO2CAAECBAgQIECAAAECBAgQIECAwJQEhI5T6rZjJUCAAAECBAgQIECAAAECBAgQIDCCgNBxBGS7IECAAAECBAgQIECAAAECBAgQIDAlAaHjlLrtWAkQIECAAAECBAgQIECAAAECBAiMICB0HAHZLggQIECAAAECBAgQIECAAAECBAhMSUDoOKVuO1YCBAgQIECAAAECBAgQIECAAAECIwgIHUdAtgsCBAgQIECAAAECBAgQIECAAAECUxIQOk6p246VAAECBAgQIECAAAECBAgQIECAwAgCQscRkO2CAAECBAgQIECAAAECBAgQIECAwJQEhI5T6rZjJUCAAAECBAgQIECAAAECBAgQIDCCgNBxBGS7IECAAAECBAgQIECAAAECBAgQIDAlAaHjlLrtWAkQIECAAAECBAgQIECAAAECBAiMICB0HAHZLggQIECAAAECBAgQIECAAAECBAhMSUDoOKVuO1YCBAgQIECAAAECBAgQIECAAAECIwgIHUdAtgsCBAgQIECAAAECBAgQIECAAAECUxIQOk6p246VAAECBAgQIECAAAECBAgQIECAwAgCQscRkO2CAAECBAgQIECAAAECBAgQIECAwJQEhI5T6rZjJUCAAAECBAgQIECAAAECBAgQIDCCgNBxBGS7IECAAAECBAgQIECAAAECBAgQIDAlAaHjlLrtWAkQIECAAAECBAgQIECAAAECBAiMICB0HAHZLggQIECAAAECBAgQIECAAAECBAhMSUDoOKVuO1YCBAgQIECAAAECBAgQIECAAAECIwgIHUdAtgsCBAgQIECAAAECBAgQIECAAAECUxIQOk6p246VAAECBAgQIECAAAECBAgQIECAwAgCQscRkO2CAAECBAgQIECAAAECBAgQIECAwJQEhI5T6rZjJUCAAAECBAgQIECAAAECBAgQIDCCgNBxBGS7IECAAAECBAgQIECAAAECBAgQIDAlAaHjlLrtWAkQIECAAAECBAgQIECAAAECBAiMICB0HAHZLggQIECAAAECBAgQIECAAAECBAhMSUDoOKVuO1YCBAgQIECAAAECBAgQIECAAAECIwgIHUdAtgsCBAgQIECAAAECBAgQIECAAAECUxIQOk6p246VAAECBAgQIECAAAECBAgQIECAwAgCQscRkO2CAAECBAgQIECAAAECBAgQIECAwJQEhI5T6rZjJUCAAAECBAgQIECAAAECBAgQIDCCwORCx4+c+Vz16Be/PKe9+s1vqD718Q8spH74809UZz79hWPff/apz47QHrsgQIAAAQIECBAgQIAAAQIECBAgUJ7A5ELH07fcXZ195P55p9L/33D6rdVtN7+js3spdPz6N7+9NJgsr+0qJkCAAAECBAgQIECAAAECBAgQIDCcwORCxzblqlBx1feHa42VCRAgQIAAAQIECBAgQIAAAQIECJQpMPnQ8b0f+mT1pje+fumVjs3bq1/32ouPXCmZ2v6Hf/KjMruvagI9BX7+Na+aPfJPf/RSzy08jECZAma9zL6pen0Bs76+mS3KFDDrZfZN1esLmPX1zWxRrsAv/cJryi1+YpVPOnSs369xnfdnTCFl+tN8H8g//bMXJzY2DndqAj9z/rmzQ/7Jiy9P7dAd78QEzPrEGj7hwzXrE27+xA7drE+s4RM+XLM+4eZP8NB//ufOn+BRl3nIkw0dz37pa9UHP/pQ9eRjD1SnLrqgd/e+8a3vVLfccV/VDCpd/dWbzwMLFXj1q/ZDxx+/JHQstIXK7ilg1ntCeVjxAma9+BY6gJ4CZr0nlIcVL2DWi2+hA1hDoL6yd41NPHRHApMMHTe5wrHuT1fo6PbqHU2v3Y4m4HaN0ajtaMcCZn3HDbD70QTM+mjUdrRjAbO+4wbY/WgCZn00ajvKQMDt1Rk0oWcJkwsdu26Pblq1v9/1addvufKy6t47b51vJnTsOW0eVqyAk5hiW6fwNQXM+ppgHl6sgFkvtnUKX1PArK8J5uHFCpj1Ylun8A0EhI4boO1ok0mFjs89/0J13Y13dVI/8uA91RWXX1q1Q8f0/199+pn5Njddf82RwDF9Q+i4o+m129EEnMSMRm1HOxYw6ztugN2PJmDWR6O2ox0LmPUdN8DuRxMw66NR21EGAkLHDJrQs4RJhY49TdZ+mNBxbTIbFCbgJKawhil3YwGzvjGdDQsTMOuFNUy5GwuY9Y3pbFiYgFkvrGHK3UpA6LgV36gbCx0DuIWOAYiWyFrASUzW7VFcoIBZD8S0VNYCZj3r9iguUMCsB2JaKmsBs551exQXLJBT6Jjujr3k1IXH7ogNPuRBlqvvBl73A5bXKUbouI7WgscKHQMQLZG1gJOYrNujuECBqc/6Ky+/UqV/qr1/Xn755dl/7/9/Nf/vV145fMyRr6fHHXyv3u6V9IH3aY3m1396uO7scXvfmz3myD972x1bq/G4xvea2758UHu75mM1NB63X8P+8R2r46C2l1s17693aHJku4ZP85iS1eEx7e3qYM3VtdV1NXpQ19oymvUtrXvE5+h2Te/0o3POuedU1d4/55yz90/698E/1bn735v9s/e9c8/b+0Lj+/XXj31t72Ht9ZZtl9Y952Bfezva27ax37q2Vn1H1tvbpL3+vNZjx1Qfz+E+Vh1TXU963LlHfBpeB/s5brFX3Ox7HcfUqu2cmcOh9/5are06ejTfZ+N7TcNzzz3at8Cny2KWmvrzejGNUujWAmZ9a0ILFCQwZuj4kTOfqx794peP6LzutRdXZx+5f/a1XYSO9Qcc128TuGnrhI6byo28ndBxZHC7G13ASczo5NPeYQpzXnp5Fp68vPfvV146CFLS1w7+eaX1vf3H7W8z+/fsn71gaP64g/Ve/One19J6e//s/Xd6XLX33z99af+/z08Bxt6XfvTjl6pzmkHbwnDsIBCahTzLQ6hUy5EQah4MdWzXEarNA755SLe/XTrmpcFVzwBqFrr5Q4DAiRY4DJVXB83zQLoZNs+C4f0Qen+toyFzM6RthqjH1zoIvBeFr0dC1GYgnnLcg6C8FYJ3heev7NX3mle/qjrnvHOqF/ee4s49f6/uvdrPfdW51Xnnnzf7+uxr6f9ftff/e/8+51V7X9v773PTv/cek461fszhf9ePSd/bf8xsu7219h9z3l6hJ3qUHFyGAs7XM2yKkgYTGCt0vOxt766aAWN9QCmI/KWLf6G67eZ37CR0jIIVOkZJDryO0HFgYMvvXMBJzPgtmIVozWCtFajV3zsWrDW26wzd6nCuEcgd3VcK5/aCrPnjDuvYf1zje0cCvv3HvfLSXv6VAryD2qsUGM5rav73YUg4Dxbrx6UQzZ+dCDQDiXSF1KKr3lKwsPiqrqMBwbEgoHlF18EVbJ1Xy7XDiBVXvc1e9O+9yE8hQ/OKvcVX8jWvVGtc8dcIMtpXiR0NbBZcLddx1ds8iDn43rl7Qcfy8OfoVXSdV711Xp14EAYtuOqtvjoxGf2lv3D+bMb+2b94cT9gP3bV5NGrW+fhdvOK1EVXqbaubl10BWkdwqfnnFnoPb9KtF8QX1+levxK2eNX6x65knXRVapLfrmwb9S6QrW2WHB16+Exrb5K9cgvJVq/WJhfcbzg6t/ZLyQW/HIhXbHc9NnJE8tEdzoLNGfhZR1kHoSb8yAzhZx7T6Xzx+yHobMA9CAQnf17L8xshqIpDJ0/Zu+xs+e+FHbOgtP97et10r9TAHrOXgY6C0dn3ztaU/2Y5jopmD1vFsYeDVfTMaWv7de3vx9/8hFwvp5PL1QyvMAYoWMKFn/vnzw7v6Jx0VHVVzqm79dXRC4KKptXTDZvaT59y93VDaffWj1+9ivVd7/3g9muPvHh91WnLr6guuWO++a7rrfpCgvbV2Sm7U9fe1XVdaXms099dram0HH4WQ3Zg9AxhNEiGQvs4iRmdsXaxqFbCrfSlWv7V7rNrpTruBKuDtCOhW6zgG9v29ZVdc3wbH41XSN426+3I1hbN3RLV99N+U+6I/HghdT8xdrsKpL9Fzizrx282Jm9IJr/98GLr/nj9l4ctb43fyE2e+HUeGF28Lif/dm9K2L21nxxr/+rbrs8HhotCaHaQVsK0ObBUMd2rat82re6NkOo1beSLrhltiPwm/LYTe3Yd/G8PjXjHI+3+RYKq4Lmfm85sHeUx0Lmg68tDWUP3tKgI0id/b294C0UZleUd4bdzavOD9+uIdV2/t7zfToP+PM/f2nvCvfDc4uf1le+p6/t/b2brnhP/94/Z9g/h5hdEZ/+bj94zOF/149J39t/zGy7vcftP+ane4XmOAGxNc2uOk0h5EGQuX8laSMUnYWXe4nnXrhaX0k6/3t8Fq7u/32+/5iDv88PwtH9wLMOYOsrSdNVpQdXoDYC1nrN2d/xjatNZ6Ho3uPTfurAdf+K1MOrU2f7nj1m/0rX/ToPr1qdXf2a/s4u4I/n9QKapMQwgTFCx3SV4523v2t2NeOyPyl0/OrTz8xCwhTypT8pRHzLlZfN3+cxBX/ff+6H1ac+/oHZ989+6WvVBz/6UFWHf+nxKWysQ8X6++3buNO2aY12WNgOSNP3//u/9z/P9p++9x//9X+3OnXRBbN9p3oXrRPWoMZC3tMxQFXoGIBoieMCQ95iOg/gGsHakdtZj4Zue+desyMGgrkAACAASURBVNDux3sn7Psn5vtXvB05SZ9dAXdwkt51q2sz/DsIE48GgfthXX177BRO1peN/bFgrb6aoRW6za54aAZrjUDu2PeOPO5wu6P7SsHd/on+PJQ72G7/cY3vdQaBB2FefQXEwYuG/RoPtu0MAhvfS+8dt6M/Tth3BG+3owuY9dHJ7XBHArua9f1fbO6/dcd+2Hlw3jQPMlPIeXB3QPPugnSedRCIzv49D0Hrtw85XKc+D6vvKpidn9W/MK3XmZ2z7e3n4C1F2jXt13cQnKbQdLb9wS9uG/tOj5kd08Fj6l8M76ito+529su9eTC5H7LOQtLGbfkp2GyHl/Vj5qFo61b++qrVrqtNO8PVWVh6EPQ2rpitf0H7F/auYE+1/vlen/Zv+T8IgdN/p2w1Baqz/96vfVbveftvM1CHvClgTVfDenuAUUfMzjYQGDp0rEO9Pu+Z2PWejg9//onq69/8dmdAWB9uChrveM8Ns6CyvtKxDji7rkBMa6YrIdN7STa/n9a77sa7qj61psemQPPBzzx+bJ06lNygHUs3EToGiAodAxAXLFHqLaazK+zaIV66em12AlqHa/snksfeu84tprNpmJ0sNa9mWyt0O3w/ptnJVR12HVtj/6TrWOg2e1zjSrgjodt+eDa/6q4RvC0M1uZBYM/Qze1Kwz2prFh5Vy9Od3bAdjxZAbM+2dZP7sDN+nAtn111uncuW78vch2u1gFnCiZTcFrthav1laR1oDoLTA+uPN1/zP46h6Hp/vny/uObV5sevidz/dj5VavpHLpxtenhW8UcnHvP1j96Bev8vZ1nAW99xevhVauzq18n+J7Hs7s56vPm+hfO6d+NMPPcg8ByP8DcP3efBbL14xesMVt37y1c6l9wz0LPg7XrMHR+F0s6Bz/4/vwumGagOlvrMESdndc3X0PUa9fn4gehax3IzkLX2S/w9483Hff8GOpfoNeB7cHxlHLl63A/+XmsXFLoWH/oS5dcfXXkotCxGSQuCgv/6Pk/md2CXV812bWf+krK5vfS491encc8r6xiyNBxm1tMDz9Q4fDDFGZ/sTY+lCH95V6l3362biM9vHXULaYrB2CoB+zwFtP9v9QPg7XX7N1ymv4S/8neuWX9vcPbVNu3vR69Eu7o4+qQ7+DN29N+Dn5Tm05W0q0t9cmM37AONVjWXSbgxan5mIqAWZ9Kpx2nWTcD2wrM3tM2fejcwZWns9dPKSSd31q/H6AePmY/vKyvQK1fZ9W36R+Gq4evs45dbdr4wLv567LZ/g6C3sYVs/V7Y5978OFyL/6kvuX/4Arb+u1/Dt66qH57oVm9P60/VG//9eDsA+pS7RN4e4CN5+LgNVrzKtHD0PTgNc7B1bH7Iejh3UV1IDt73+z5HUQpzK2vOD24ErW+qOEgdJ1v1whUD9c6CEwboXAd2s4++Ku+WGK21v4VrvO7l/b2u39n1H6N9XvR1sdTB7KzIPYg3G0GtrOwuXFF7Wz9kf4MHTqmw1jn9upLTl04v5U6bdu80rEOHVeFguk9HdtXOkaEjuk4brr+mnl9zVu7hY4jDew2u/md/+h3qn+x9ybsRz8x9fiHLXTdRtq+Eq4ZANZ/GU39Cf+k3GJaXxW3/yR/ELzVv1k7+I3c/L3rGr+J22Y2I7d1wh6paa2cBcx6zt1RW6SAWY/UtFbOAmY95+6oLVIgctZn7/9av+1R/SGC6d8H72U+Cy73AsvDAHP/g7b2X88evL/5gjVm6+59yFX9+nj21gMHa9dXntYfSDi7yvXg+/PXzo0a9tfa31+93yMX7dRrN+4kq9/qIP07ha6zO88O3v4gHff8GOoPRUyHlK6SPTieKV752ndO0/u8Hg0wj4ao6XvNADO9Lk5hZtcVsvtvB7B3wUvjLQFmd5UdBLI3/0//Qd+yNn7cqg+SScHiok+v7rq9etntz9tc6ZgOcNHt1V2Bp9Bx45HYzYa/ec5vDrrj+n01moFU/YPWDOS63tft8HFH37utfqPm+s2S699QuMV00FYWvXjkSUzREIo/8QJm/cS32AEeCJh1ozAVAbM+lU47TrM+zgzMQsc6sJyFlc3Q9CCIPbg6dn43YTsY3QtdDz+wMgW2+9vNbuefB7D1Wvv7m7/3/TwMPfhaHe4eXKnavLApfZjWkbf9atRVB8f7H7x58OGbjfei3Q9Z9783C2IPjqEZ/tZ3TNbbz64KHuFPCjfvffneEfa0f7Vj+5Oo6yCv/pCZVe/pmAqtP0G6ebVjCiav/LVfqa64/NKF7+nY50rH9F6MqYZ/+ofPzz9pu/4gmfQBMu1AMh1T+uP26lFGaPudPPGfPFH9/Bt/cZ64H74/3OpbTI9+Omud2tdXwR1ccl3Ip6VtL2mFnAWcxOTcHbVFCpj1SE1r5Sxg1nPujtoiBcx6pKa1chYw6zl3Zxq1pfd5PRpgHoaodaDaDDBT4JnCzK4rZGdXl6Y7/WdvC3Bw9ezsytf9YPOtt185GmodGDZ32AwD+4SOzeCxuU7z06s3vb26+anU6VO06z91jSncPPPpL8y/nt5Hsv7kbLdXjzZG2+1oyPd03K4yWxOIEXASE+NolfwFzHr+PVJhjIBZj3G0Sv4CZj3/HqkwRsCsxzhapQyBMd7TsQyJ/Kv06dUBPRI6BiBaImsBJzFZt0dxgQJmPRDTUlkLmPWs26O4QAGzHohpqawFzHrW7VFcsIDQMRh0wOWEjgG4QscAREtkLeAkJuv2KC5QwKwHYloqawGznnV7FBcoYNYDMS2VtYBZz7o9igsWEDoGgw64nNAxAFfoGIBoiawFnMRk3R7FBQqY9UBMS2UtYNazbo/iAgXMeiCmpbIWMOtZt0dxwQJCx2DQAZcTOgbgCh0DEC2RtYCTmKzbo7hAAbMeiGmprAXMetbtUVyggFkPxLRU1gJmPev2KC5YQOgYDDrgckLHAFyhYwCiJbIWcBKTdXsUFyhg1gMxLZW1gFnPuj2KCxQw64GYlspawKxn3R7FBQsIHYNBB1xO6BiAK3QMQLRE1gJOYrJuj+ICBcx6IKalshYw61m3R3GBAmY9ENNSWQuY9azbo7hgAaFjMOiAywkdA3CFjgGIlshawElM1u1RXKCAWQ/EtFTWAmY96/YoLlDArAdiWiprAbOedXsUFywgdAwGHXA5oWMArtAxANESWQs4icm6PYoLFDDrgZiWylrArGfdHsUFCpj1QExLZS1g1rNuj+KCBYSOwaADLid0DMAVOgYgWiJrAScxWbdHcYECZj0Q01JZC5j1rNujuEABsx6IaamsBcx61u1RXLCA0DEYdMDlhI4BuELHAERLZC3gJCbr9iguUMCsB2JaKmsBs551exQXKGDWAzEtlbWAWc+6PYoLFhA6VtXpW+6eqZ595P5g3djlhI4BnkLHAERLZC3gJCbr9iguUMCsB2JaKmsBs551exQXKGDWAzEtlbWAWc+6PYoLFph66PiNb32n+q3P/f3qn/7h89V9v35bdcXllwYLxy0ndAywFDoGIFoiawEnMVm3R3GBAmY9ENNSWQuY9azbo7hAAbMeiGmprAXMetbtUVywwNRDx4+c+Vz1b/zar1b/2//x+zPZe++8NVg4bjmhY4Cl0DEA0RJZCziJybo9igsUMOuBmJbKWsCsZ90exQUKmPVATEtlLWDWs26P4oIFRg0df/d3g6tfY7l3vrPzwZe97d3Vk489UP3R839S3fOxh7O+xVrouEa/Fz1U6BiAaImsBZzEZN0exQUKmPVATEtlLWDWs26P4gIFzHogpqWyFjDrWbdHccECo4aOd91VVWfOBB9Bj+XSPt///mMPrG+t/tTHPzD7XgogH3nwnmxvsRY69uj1qocIHVcJ+X7pAk5iSu+g+vsKmPW+Uh5XuoBZL72D6u8rYNb7Snlc6QJmvfQOqn8dgdFDxz/4g3XKi3nsNdd0ho71rdWnr71qtp/0/+lPrrdYCx0DxkHoGIBoiawFnMRk3R7FBQqY9UBMS2UtYNazbo/iAgXMeiCmpbIWMOtZt0dxwQKjho7BtW+7XLqysevPs099dtulB9le6BjAKnQMQLRE1gJOYrJuj+ICBcx6IKalshYw61m3R3GBAmY9ENNSWQuY9azbo7hggamGjunW6q73cMz5FmuhY8DwCx0DEC2RtYCTmKzbo7hAAbMeiGmprAXMetbtUVyggFkPxLRU1gJmPev2KC5YYKqh43s/9MnqklMXHruVOudbrIWOAcMvdAxAtETWAk5ism6P4gIFzHogpqWyFjDrWbdHcYECZj0Q01JZC5j1rNujuGCBqYaOwYyjLCd0DGAWOgYgWiJrAScxWbdHcYECZj0Q01JZC5j1rNujuEABsx6IaamsBcx61u1RXLCA0DEYdMDlhI4rcNNlqo9+8cvzR1395jdU9UeT118UOg44oZbOQsBJTBZtUMQIAmZ9BGS7yELArGfRBkWMIGDWR0C2iywEzHoWbVDESAJCx5GgA3YjdFyBePqWu6uzj9w/f1T6/xtOv7W67eZ3zL8mdAyYREtkLeAkJuv2KC5QwKwHYloqawGznnV7FBcoYNYDMS2VtYBZz7o9igsWEDoGgw64nNBxTdyHP/9E9fVvfvvI1Y5CxzURPbw4AScxxbVMwRsKmPUN4WxWnIBZL65lCt5QwKxvCGez4gTMenEtU/AWAkLHLfBG3lTouCZ4+rSgN73x9a50XNPNw8sWcBJTdv9U31/ArPe38siyBcx62f1TfX8Bs97fyiPLFjDrZfdP9esJCB3X89rlowcPHdPtyN/93g86j/HZpz67y2Nfe9/pKsczn/5C1a77n//opbXXsgGBkgR+5lXnzsr9yUsvl1S2WgmsLWDW1yazQaECZr3Qxil7bQGzvjaZDQoVMOuFNk7ZGwn8xde8aqPtbDS+wKChY7oq8JJTF1b33nnr+EcWvMezX/pa9cGPPlQ9+dgD1amLLjiy+j/7sxeD92Y5AnkJvPr8/dDxxy8KHfPqjGqiBcx6tKj1chUw67l2Rl3RAmY9WtR6uQqY9Vw7o64hBP7Sz50/xLLWHEBg0NDxsre9u3rkwXuqKy6/dIDSx1ty0RWOdQXe03G8XtjTbgTcrrEbd3sdX8Csj29uj7sRMOu7cbfX8QXM+vjm9rgbAbO+G3d73Y2A26t3477JXoWOK9TS1Zrpz6c+/oGFjxQ6bjJ6tilJwElMSd1S6zYCZn0bPduWJGDWS+qWWrcRMOvb6Nm2JAGzXlK31LqtgNBxW8Hxth80dEyB3fVvv7o6fe1V4x1R4J6ee/6F6rob7+pcsXkFp9AxEN1SWQo4icmyLYoaQMCsD4BqySwFzHqWbVHUAAJmfQBUS2YpYNazbIuiBhKYcujY9bkpOX9eyqCh4ze+9Z3qno89XJ195P6BRi2PZYWOefRBFcMJOIkZztbKeQmY9bz6oZrhBMz6cLZWzkvArOfVD9UMJ2DWh7O1cn4CUw8d73jPDfOL+z5y5nPV95/74dK7c3fZwUFDx/Sejsv+5JzGrtMUoeM6Wh5booCTmBK7puZNBMz6Jmq2KVHArJfYNTVvImDWN1GzTYkCZr3Erql5UwGh42HomD70+MHPPJ7txX6Dho6bDlBp2wkdS+uYetcVcBKzrpjHlypg1kvtnLrXFTDr64p5fKkCZr3Uzql7XQGzvq6Yx5csMGbo+Lu/uzupd77z+L7T7dXNKx3T2xq+6Y2vr267+R27K3TJnoWOAW0ROgYgWiJrAScxWbdHcYECZj0Q01JZC5j1rNujuEABsx6IaamsBcx61u1RXLDAmKHjXXsf83HmTPAB9Fgu7fP97+8OHb/7vR8c+cadt79ruqFjel/HW+647whI80NYelhn/xChY/YtUuCWAk5itgS0eTECZr2YVil0SwGzviWgzYsRMOvFtEqhWwqY9S0BbV6UwNih4x/8wfg811yzOHRsXumYKktvbfiJD78vyw9xHvRKx3Rv+Qc/+lD15GMPVKcuumDWpfoToXMF2WSUhI6bqNmmJAEnMSV1S63bCJj1bfRsW5KAWS+pW2rdRsCsb6Nn25IEzHpJ3VLrtgJjho7b1hq9ffv26rR+zrdYDxo6dmEkkNzf6HLdoRA6rivm8aUJOIkprWPq3VTArG8qZ7vSBMx6aR1T76YCZn1TOduVJmDWS+uYercREDoefpBM7hf2DRo6pks8u26lrm+59unV2/yY2ZbAeAJOYsaztqfdCpj13frb+3gCZn08a3varYBZ362/vY8nYNbHs7an3QtMPXRsv6djzncSDxo6utJx9z+MKiAQIeAkJkLRGiUImPUSuqTGCAGzHqFojRIEzHoJXVJjhIBZj1C0RikCUw4dS+lRXeegoaP3dCxtHNRLoFvASYzJmIqAWZ9Kpx2nWTcDUxEw61PptOM062ZgSgJCx3K6PWjomBh8enU5w6BSAosEnMSYjakImPWpdNpxmnUzMBUBsz6VTjtOs24GpiQgdCyn24OHjuVQbF6pD5LZ3M6WZQg4iSmjT6rcXsCsb29ohTIEzHoZfVLl9gJmfXtDK5QhYNbL6JMqYwSEjjGOY6widAxQFjoGIFoiawEnMVm3R3GBAmY9ENNSWQuY9azbo7hAAbMeiGmprAXMetbtUVywgNAxGHTA5QYJHdOnVqdPz/ngRx9aWrpPrx6ws5YmECjgJCYQ01JZC5j1rNujuEABsx6IaamsBcx61u1RXKCAWQ/EtFT2AkLH7Fs0L3CQ0LGcw4+p1JWOMY5WyVfASUy+vVFZrIBZj/W0Wr4CZj3f3qgsVsCsx3paLV8Bs55vb1QWLyB0jDcdasVBQ8d0xeMjD95TXXH5pUfqT59q/eBnHq/OPnL/UMc16rpCx1G57WwHAk5idoBulzsRMOs7YbfTHQiY9R2g2+VOBMz6TtjtdAcCZn0H6Ha5MwGh487o197xTkLH+hOt3V69dr9sQGAnAk5idsJupzsQMOs7QLfLnQiY9Z2w2+kOBMz6DtDtcicCZn0n7Ha6IwGh447gN9jtTkLHhz//RPX42a+40nGDhtmEwC4EnMTsQt0+dyFg1nehbp+7EDDru1C3z10ImPVdqNvnLgTM+i7U7XNXAkLHXcmvv9/w0LG+inFVKV23Xa/aJtfvu706186oK0rASUyUpHVyFzDruXdIfVECZj1K0jq5C5j13DukvigBsx4laZ0SBISOVXX6lrur737vB0falePdxOGhY/OIF72nYwlDvE6NQsd1tDy2RAEnMSV2Tc2bCJj1TdRsU6KAWS+xa2reRMCsb6JmmxIFzHqJXVPzpgJTDh2fe/6F6rob76ruvP1d1W03v2NOmO4oTn+aX9vUN3K7QUPHyEJzXkvomHN31BYh4CQmQtEaJQiY9RK6pMYIAbMeoWiNEgTMegldUmOEgFmPULRGKQJTDh3f+6FPVpecurC6985bi2iX0DGgTULHAERLZC3gJCbr9iguUMCsB2JaKmsBs551exQXKGDWAzEtlbWAWc+6PYoLFhgzdPz93/394Or7L/er7/zVYw8u7Y7iQUPH+rLPRaQ53m/ev/2HjxQ6bqJmm5IEnMSU1C21biNg1rfRs21JAma9pG6pdRsBs76Nnm1LEjDrJXVLrdsKjBk6/sO7/mH1e2d+b9uS197+7WfeXr3l/W85sl2dsT352APVqYsuWHvNXWwwaOiY3tjyhtNvra78tV+p7vnYw/NPq06Xg17/9qur09detYtjDt+n0DGc1IKZCTiJyawhyhlMwKwPRmvhzATMemYNUc5gAmZ9MFoLZyZg1jNriHIGFRg7dHzhD14Y9Hi6Fv/la375WOiYHudKx4ZWjfGLF/1C9Tfvun8eOqZPuG6GkKN3L3iHQsdgUMtlJ+AkJruWKGggAbM+EKxlsxMw69m1REEDCZj1gWAtm52AWc+uJQoaUGDM0HHAw9hoae/p2BE6XnH5pbM0tr6dOoWOt9xx3/z/N5LOaCOhY0bNUMogAk5iBmG1aIYCZj3DpihpEAGzPgirRTMUMOsZNkVJgwiY9UFYLZqpwJRDxzpPa3969dkvfa36wx/88bQ+vTolsG964+tnB9387/RR3o+f/cr8ysdM57h3WULH3lQeWKiAk5hCG6fstQXM+tpkNihUwKwX2jhlry1g1tcms0GhAma90MYpeyOBKYeONVi6sK/553WvvTjLjG3Q93RsT08TpaQ3vlz1UyB0XCXk+6ULOIkpvYPq7ytg1vtKeVzpAma99A6qv6+AWe8r5XGlC5j10juo/nUEhI7raO32saOGjrs91OH2LnQcztbKeQg4icmjD6oYXsCsD29sD3kImPU8+qCK4QXM+vDG9pCHgFnPow+qGEdA6DiOc8ReBg0dS/tUnU1BhY6bytmuFAEnMaV0Sp3bCpj1bQVtX4qAWS+lU+rcVsCsbyto+1IEzHopnVJnhIDQMUJxnDWEjgHOQscAREtkLeAkJuv2KC5QwKwHYloqawGznnV7FBcoYNYDMS2VtYBZz7o9igsWEDoGgw643KChY/rwmOvffnV1+tqrBjyE3S8tdNx9D1QwrICTmGF9rZ6PgFnPpxcqGVbArA/ra/V8BMx6Pr1QybACZn1YX6vnJSB0zKsfy6oZNHR87vkXqr951/1ZfoJOZIuEjpGa1spRwElMjl1R0xACZn0IVWvmKGDWc+yKmoYQMOtDqFozRwGznmNX1DSUgNBxKNn4dQcNHdsf4d0u/9mnPht/RD1XPPulr1UPfubxlYHow59/ojrz6S8cW7VZu9CxJ7qHFSvgJKbY1il8TQGzviaYhxcrYNaLbZ3C1xQw62uCeXixAma92NYpfAMBoeMGaDvaZNDQcUfHtHS33/jWd6pb7rhv9pjXvfbiXqHj17/57epTH//AwnWFjjl2Wk2RAk5iIjWtlbOAWc+5O2qLFDDrkZrWylnArOfcHbVFCpj1SE1r5S4gdMy9Q4f1DRo6Lvr06r5XGQ7J2LeGdKWj0HHITli7BAEnMSV0SY0RAmY9QtEaJQiY9RK6pMYIAbMeoWiNEgTMegldUmOUgNAxSnL4dXYSOtZXG5Z4e3XX1ZGudBx+UO1htwJOYnbrb+/jCZj18aztabcCZn23/vY+noBZH8/annYrYNZ362/v4woIHcf13mZvOwkd09WDj5/9yspbm7c5sFXb9r3Ssb1O+kTu9Kd5u/Wf/filVbvzfQJFC5x/3rmz+l/86ctFH4fiCawSMOurhHz/pAiY9ZPSScexSsCsrxLy/ZMiYNZPSicdRx+Bn3v1q/o8zGMyEAgPHZvvmbjs+B558J7qissv3RnBpqFj11Wa/+8/f3Fnx2HHBMYQ+Nmf2Q8d//wnQscxvO1jdwJmfXf29jyugFkf19vedidg1ndnb8/jCpj1cb3tbbcC//JfPH+3Bdh7b4Hw0LG550Xv6di7ugEfGBk6ur16wEZZOgsBt2tk0QZFjCBg1kdAtossBMx6Fm1QxAgCZn0EZLvIQsCsZ9EGRYwk4PbqkaADdjNo6BhQ32BLLAod27dPn77l7iO3gaf/f8uVl1X33nnrvDah42BtsnAmAk5iMmmEMgYXMOuDE9tBJgJmPZNGKGNwAbM+OLEdZCJg1jNphDJGERA6jsIcspPJhY5dt3/fefu7qttufscMtB06pv//6tPPzLFvuv6aI4Fj+obQMWQWLZKxgJOYjJujtFABsx7KabGMBcx6xs1RWqiAWQ/ltFjGAmY94+YoLVxA6BhOOtiCg4eO6crA737vB50HsMtPr44UFTpGalorRwEnMTl2RU1DCJj1IVStmaOAWc+xK2oaQsCsD6FqzRwFzHqOXVHTUAJCx6Fk49cdNHRMVwlecurCY1cGxh/GblcUOu7W396HF3ASM7yxPeQhYNbz6IMqhhcw68Mb20MeAmY9jz6oYngBsz68sT3kIyB0zKcXqyoZNHTM+YNkVsGs832h4zpaHluigJOYErum5k0EzPomarYpUcCsl9g1NW8iYNY3UbNNiQJmvcSuqXlTAaHjpnLjbyd0DDAXOgYgWiJrAScxWbdHcYECZj0Q01JZC5j1rNujuEABsx6IaamsBcx61u1RXLCA0DEYdMDlBg0d0+3V17/96ur0tVcNeAi7X1rouPseqGBYAScxw/paPR8Bs55PL1QyrIBZH9bX6vkImPV8eqGSYQXM+rC+Vs9LQOiYVz+WVTNo6Jg+Kfqejz1cnX3k/nJENqhU6LgBmk2KEnASU1S7FLuFgFnfAs+mRQmY9aLapdgtBMz6Fng2LUrArBfVLsVuKSB03BJwxM0HDR3Tezou++PTq0fstF0R2ELAScwWeDYtSsCsF9UuxW4hYNa3wLNpUQJmvah2KXYLAbO+BZ5NixMQOpbTskFDx3IYtqvUlY7b+dk6fwEnMfn3SIUxAmY9xtEq+QuY9fx7pMIYAbMe42iV/AXMev49UmGcgNAxznLolYSOAcJCxwBES2Qt4CQm6/YoLlDArAdiWiprAbOedXsUFyhg1gMxLZW1gFnPuj2KCxYQOgaDDrjc4KFj+jCZrz79zOwQHnnwnuqKyy+t0m3XN11/TXXvnbcOeGjjLS10HM/annYj4CRmN+72Or6AWR/f3B53I2DWd+Nur+MLmPXxze1xNwJmfTfu9robAaHjbtw32eugoWMKHC85deEsXDx9y93Vfb9+2yx0PPulr1UPfubxE/MBM0LHTUbPNiUJOIkpqVtq3UbArG+jZ9uSBMx6Sd1S6zYCZn0bPduWJGDWS+qWWrcVEDpuKzje9oOGjumKxicfe6A6ddEFR0LH9KnWt9xxX+WDZMZrtD0R2EbAScw2erYtScCsl9QttW4jYNa30bNtSQJmvaRuqXUbAbO+jZ5tSxMQOpbTsUFDx3R14//wwN3HQkdXOpYzIColkAScxJiDqQiY9al02nGadTMwFQGzPpVOO06zbgamJCB0LKfbg4aOD3/+N6aSswAAIABJREFUierxs1+Z3UZd3179ixf9QnXdjXdVd97+ruq2m99RjtSSSt1efSLa6CCWCDiJMR5TETDrU+m04zTrZmAqAmZ9Kp12nGbdDExJQOhYTrcHDR0TQ30rdZPkEx9+X3X62qvKUVpRqdDxxLTSgSwQcBJjNKYiYNan0mnHadbNwFQEzPpUOu04zboZmJKA0LGcbg8eOpZDsXmlQsfN7WxZhoCTmDL6pMrtBcz69oZWKEPArJfRJ1VuL2DWtze0QhkCZr2MPqkyRkDoGOM4xiqDho4fOfO56tEvfvnYB8akD5i56fprZp9qfRL+CB1PQhcdwzIBJzHmYyoCZn0qnXacZt0MTEXArE+l047TrJuBKQkIHcvp9qChY3ofxzvec8OxW6l9kEw5A6JSAknASYw5mIqAWZ9Kpx2nWTcDUxEw61PptOM062ZgSgJCx3K6PWjomK5ofOTBe6orLr/0iEj9Po/PPvXZcqSWVOpKxxPRRgexRMBJjPGYioBZn0qnHadZNwNTETDrU+m04zTrZmBKAkLHcro9aOjoSsdyBkGlBJYJOIkxH1MRMOtT6bTjNOtmYCoCZn0qnXacZt0MTElA6FhOtwcNHdNt1B/86EPVk489UJ266IKZynPPv1Bdd+Nd1Un6BGtXOpYz8CrdTMBJzGZutipPwKyX1zMVbyZg1jdzs1V5Ama9vJ6peDMBs76Zm63KFBA6ltO3QUPHxFDfSt0k6brluhyy45UKHUvuntr7CDiJ6aPkMSdBwKyfhC46hj4CZr2PksecBAGzfhK66Bj6CJj1Pkoec1IEhI7ldHLw0LEcis0rFTpubmfLMgScxJTRJ1VuL2DWtze0QhkCZr2MPqlyewGzvr2hFcoQMOtl9EmVMQJCxxjHMVYROgYoCx0DEC2RtYCTmKzbo7hAAbMeiGmprAXMetbtUVyggFkPxLRU1gJmPev2KC5YQOgYDDrgcoOHjunDZL77vR90HoJPrx6ws5YmECjgJCYQ01JZC5j1rNujuEABsx6IaamsBcx61u1RXKCAWQ/EtFT2AkLH7Fs0L3DQ0PG9H/pkdcmpC6t777y1HJENKnWl4wZoNilKwElMUe1S7BYCZn0LPJsWJWDWi2qXYrcQMOtb4Nm0KAGzXlS7FLulgNBxS8ARNx80dLzsbe+uTtqHxnT1Rug44sTa1U4EnMTshN1OdyBg1neAbpc7ETDrO2G30x0ImPUdoNvlTgTM+k7Y7XRHAkLHHcFvsFuh4wZo7U2EjgGIlshawElM1u1RXKCAWQ/EtFTWAmY96/YoLlDArAdiWiprAbOedXsUFywgdAwGHXC5QUPHdHv19W+/ujp97VUDHsLulxY67r4HKhhWwEnMsL5Wz0fArOfTC5UMK2DWh/W1ej4CZj2fXqhkWAGzPqyv1fMSEDrm1Y9l1QwaOn7jW9+p7vnYw9XZR+4vR2SDSoWOG6DZpCgBJzFFtUuxWwiY9S3wbFqUgFkvql2K3ULArG+BZ9OiBMx6Ue1S7JYCQsctAUfcfNDQMb2n47I/Pr16xE7bFYEtBJzEbIFn06IEzHpR7VLsFgJmfQs8mxYlYNaLapditxAw61vg2bQ4AaFjOS0bNHQsh2G7Sl3puJ2frfMXcBKTf49UGCNg1mMcrZK/gFnPv0cqjBEw6zGOVslfwKzn3yMVxgkIHeMsh15J6BggLHQMQLRE1gJOYrJuj+ICBcx6IKalshYw61m3R3GBAmY9ENNSWQuY9azbo7hgAaFjMOiAyw0eOqb3dbzljvuOHMIjD95TXXH5pQMeVvzSZ7/0terBzzze+f6UQsd4byvmJeAkJq9+qGY4AbM+nK2V8xIw63n1QzXDCZj14WytnJeAWc+rH6oZVkDoOKxv5OqDho4pqPvgRx+qnnzsgerURRfM6n7u+Req6268q/rEh99XxKdaN0PT1732YqFj5PRZqxgBJzHFtEqhWwqY9S0BbV6MgFkvplUK3VLArG8JaPNiBMx6Ma1SaICA0DEAcaQlBg0dT99yd3XHe244Fi4uu2pwpONeezeudFybzAYnSMBJzAlqpkNZKmDWDchUBMz6VDrtOM26GZiKgFmfSqcdZxIQOpYzB4OGjunTq7tupa6vHizp06uFjuUMtUrjBZzExJtaMU8Bs55nX1QVL2DW402tmKeAWc+zL6qKFzDr8aZWzFdA6Jhvb9qVDRo6TuVKxx/95KfldFylBDYQOP+8c2ZbvfjTVzbY2iYEyhEw6+X0SqXbCZj17fxsXY6AWS+nVyrdTsCsb+dn67IEXvMz55VV8ISrHTR0PAnv6VjPxrIrHf+fP/3JhEfIoU9B4GcPntT/XMA+hXZP+hjN+qTbP6mDN+uTavekD9asT7r9kzp4sz6pdk/+YP+Vn/+ZyRuUAjBo6JgQfHp1KaOgTgKLBdyuYTqmImDWp9Jpx2nWzcBUBMz6VDrtOM26GZiSgNury+n24KFjORTLK/Wejielk45jEwEnMZuo2aZEAbNeYtfUvImAWd9EzTYlCpj1Erum5k0EzPomarYpVUDoWE7nBg0dP3Lmc9WjX/xy1f7AmPQBMzddf0117523Zi/VdaXmnbe/q7rt5nfMa//DP/lR9sehQALbCDiJ2UbPtiUJmPWSuqXWbQTM+jZ6ti1JwKyX1C21biNg1rfRs21pAkLHcjo2aOh4kj5IZllLhY7lDLxKNxNwErOZm63KEzDr5fVMxZsJmPXN3GxVnoBZL69nKt5MwKxv5marMgWEjuX0bdDQMV3R+MiD91RXXH7pEZH66sH2FZDlsB2tVOhYaufU3VfASUxfKY8rXcCsl95B9fcVMOt9pTyudAGzXnoH1d9XwKz3lfK4kyAgdCyni4OGjq50LGcQVEpgmYCTGPMxFQGzPpVOO06zbgamImDWp9Jpx2nWzcCUBISO5XR70NAxffjKBz/6UPXkYw9Upy66YKby3PMvVNfdeFf1iQ+/rzp97VXlSC2p1JWOJ6KNDmKJgJMY4zEVAbM+lU47TrNuBqYiYNan0mnHadbNwJQEhI7ldHvQ0DExdH0QS9ct1+WQHa9U6Fhy99TeR8BJTB8ljzkJAmb9JHTRMfQRMOt9lDzmJAiY9ZPQRcfQR8Cs91HymJMiIHQsp5ODh47lUGxeqdBxcztbliHgJKaMPqlyewGzvr2hFcoQMOtl9EmV2wuY9e0NrVCGgFkvo0+qjBEQOsY4jrGK0DFAWegYgGiJrAWcxGTdHsUFCpj1QExLZS1g1rNuj+ICBcx6IKalshYw61m3R3HBAkLHYNABlxM6BuAKHQMQLZG1gJOYrNujuEABsx6IaamsBcx61u1RXKCAWQ/EtFTWAmY96/YoLlhA6BgMOuByQscAXKFjAKIlshZwEpN1exQXKGDWAzEtlbWAWc+6PYoLFDDrgZiWylrArGfdHsUFCwgdg0EHXE7oGIArdAxAtETWAk5ism6P4gIFzHogpqWyFjDrWbdHcYECZj0Q01JZC5j1rNujuGABoWMw6IDLCR0DcIWOAYiWyFrASUzW7VFcoIBZD8S0VNYCZj3r9iguUMCsB2JaKmsBs551exQXLCB0DAYdcDmhYwCu0DEA0RJZCziJybo9igsUMOuBmJbKWsCsZ90exQUKmPVATEtlLWDWs26P4oIFhI7BoAMuJ3QMwBU6BiBaImsBJzFZt0dxgQJmPRDTUlkLmPWs26O4QAGzHohpqawFzHrW7VFcsIDQMRh0wOWEjgG4QscAREtkLeAkJuv2KC5QwKwHYloqawGznnV7FBcoYNYDMS2VtYBZz7o9igsWEDoGgw64nNAxAFfoGIBoiawFnMRk3R7FBQqY9UBMS2UtYNazbo/iAgXMeiCmpbIWMOtZt0dxwQJCx2DQAZcTOgbgCh0DEC2RtYCTmKzbo7hAAbMeiGmprAXMetbtUVyggFkPxLRU1gJmPev2KC5YQOgYDDrgckLHAFyhYwCiJbIWcBKTdXsUFyhg1gMxLZW1gFnPuj2KCxQw64GYlspawKxn3R7FBQsIHYNBB1xO6BiAK3QMQLRE1gJOYrJuj+ICBcx6IKalshYw61m3R3GBAmY9ENNSWQuY9azbo7hgAaFjMOiAywkdA3CFjgGIlshawElM1u1RXKCAWQ/EtFTWAmY96/YoLlDArAdiWiprAbOedXsUFywgdAwGHXA5oWMArtAxANESWQs4icm6PYoLFDDrgZiWylrArGfdHsUFCpj1QExLZS1g1rNuj+KCBYSOwaADLid0DMAVOgYgWiJrAScxWbdHcYECZj0Q01JZC5j1rNujuEABsx6IaamsBcx61u1RXLCA0DEYdMDlhI4BuELHAERLZC3gJCbr9iguUMCsB2JaKmsBs551exQXKGDWAzEtlbWAWc+6PYoLFhA6BoMOuJzQMQBX6BiAaImsBZzEZN0exQUKmPVATEtlLWDWs26P4gIFzHogpqWyFjDrWbdHccECQsdg0AGXEzoG4AodAxAtkbWAk5is26O4QAGzHohpqawFzHrW7VFcoIBZD8S0VNYCZj3r9iguWEDoGAw64HJCxwBcoWMAoiWyFnASk3V7FBcoYNYDMS2VtYBZz7o9igsUMOuBmJbKWsCsZ90exQULCB2DQQdcTugYgCt0DEC0RNYCTmKybo/iAgXMeiCmpbIWMOtZt0dxgQJmPRDTUlkLmPWs26O4YAGhYzDogMsJHQNwhY4BiJbIWsBJTNbtUVyggFkPxLRU1gJmPev2KC5QwKwHYloqawGznnV7FBcsIHQMBh1wOaFjAK7QMQDRElkLOInJuj2KCxQw64GYlspawKxn3R7FBQqY9UBMS2UtYNazbo/iggWEjsGgAy4ndAzAFToGIFoiawEnMVm3R3GBAmY9ENNSWQuY9azbo7hAAbMeiGmprAXMetbtUVywgNAxGHTA5YSOAbhCxwBES2Qt4CQm6/YoLlDArAdiWiprAbOedXsUFyhg1gMxLZW1gFnPuj2KCxYQOgaDDric0DEAV+gYgGiJrAWcxGTdHsUFCpj1QExLZS1g1rNuj+ICBcx6IKalshYw61m3R3HBAkLHYNABlxM6BuAKHQMQLZG1gJOYrNujuEABsx6IaamsBcx61u1RXKCAWQ/EtFTWAmY96/YoLlhA6BgMOuByQscAXKFjAKIlshZwEpN1exQXKGDWAzEtlbWAWc+6PYoLFDDrgZiWylrArGfdHsUFCwgdg0EHXG6SoeN7P/TJ6qtPPzNjvfrNb6g+9fEPLCR++PNPVGc+/YVj33/2qc/OvyZ0HHBCLZ2FgJOYLNqgiBEEzPoIyHaRhYBZz6INihhBwKyPgGwXWQiY9SzaoIiRBISOI0EH7GZyoeNHznyu+v5zP5wHjSmAvOTUhdW9d97ayZlCx69/89tLg0mhY8AkWiJrAScxWbdHcYECZj0Q01JZC5j1rNujuEABsx6IaamsBcx61u1RXLCA0DEYdMDlJhc6nr7l7uq+X7+tuuLyS2es3/jWd6p7PvZwdfaR+4WOAw6apcsWcBJTdv9U31/ArPe38siyBcx62f1TfX8Bs97fyiPLFjDrZfdP9esJCB3X89rloycVOj73/AvVdTfeVT352APVqYsumLl3fa3ZkPbt1a977cXHAkpXOu5yhO17DAEnMWMo20cOAmY9hy6oYQwBsz6Gsn3kIGDWc+iCGsYQMOtjKNtHLgJCx1w6sboOoWNHELmMLd2Onf403wfyxy++vFraIwgULHDeuefMqv/py68UfBRKJ7BawKyvNvKIkyFg1k9GHx3FagGzvtrII06GgFk/GX10FP0EXn3+uf0e6FE7FxA6rhk6ptuxb7njvqr+IJlz9rMYfwgQIECAAAECBAgQIECAAAECBAYWeMW1MAMLxy0/qdAxsa37no5taqFj3PBZiQABAgQIECBAgAABAgQIECCwjoDQcR2t3T52cqHjqk+vbt8+nULK5ofMpP9/y5WXHfm0a+/puNshtvfhBbxHzPDG9pCHgFnPow+qGF7ArA9vbA95CJj1PPqgiuEFzPrwxvaQj4D3dMynF6sqmVzomEBSsPjVp5+Z2Vz95jcceX/GdujYfGx6/E3XX3MkcExfEzquGjPfL13ASUzpHVR/XwGz3lfK40oXMOuld1D9fQXMel8pjytdwKyX3kH1ryMgdFxHa7ePnWToGE0udIwWtV5uAk5icuuIeoYSMOtDyVo3NwGznltH1DOUgFkfSta6uQmY9dw6op4hBYSOQ+rGri10DPAUOgYgWiJrAScxWbdHcYECZj0Q01JZC5j1rNujuEABsx6IaamsBcx61u1RXLCA0DEYdMDlhI4BuELHAERLZC3gJCbr9iguUMCsB2JaKmsBs551exQXKGDWAzEtlbWAWc+6PYoLFhA6BoMOuJzQMQBX6BiAaImsBZzEZN0exQUKmPVATEtlLWDWs26P4gIFzHogpqWyFjDrWbdHccECQsdg0AGXEzoG4AodAxAtkbWAk5is26O4QAGzHohpqawFzHrW7VFcoIBZD8S0VNYCZj3r9iguWEDoGAw64HJCxwBcoWMAoiWyFnASk3V7FBcoYNYDMS2VtYBZz7o9igsUMOuBmJbKWsCsZ90exQULCB2DQQdcTug4IK6lCRAgQIAAAQIECBAgQIAAAQIECExRQOg4xa47ZgIECBAgQIAAAQIECBAgQIAAAQIDCggdB8S1NAECBAgQIECAAAECBAgQIECAAIEpCggdp9h1x0yAAAECBAgQIECAAAECBAgQIEBgQAGh44a47/3QJ6uvPv3MbOur3/yG6lMf/8CGK9mMQP4CZ7/0terBzzxenX3k/vyLVSGBDQQ+cuZz1aNf/PJ8S8/rGyDapAiBhz//RHXm018w60V0S5FRAuk85oMffah65MF7qisuvzRqWesQyEKg/bxeF/XsU5/Noj5FEIgWuOxt754v+YkPv686fe1V0buwXqCA0HEDzPTi9PvP/XAeNKYA8pJTF1b33nnrBqvZhEC+At/41neqW+64b1bg6157sdAx31apbEuB07fcfWS+0//fcPqt1W03v2PLlW1OIC+BdM7S/EWpc5i8+qOaeIH6F6ff/d4PhI7xvFbMQCCFjl//5rddBJNBL5QwrMBzz79QXXfjXZWgcVjn6NWFjhuIphej9/36bfPflKZg5p6PPSyQ2cDSJmUIuNKxjD6pMk7ACXycpZXyFjDrefdHddsJNM9f0pUxrnTcztPWeQp4Hs+zL6qKF0gXf/3Sxb/gooB42kFXFDquyVun608+9kB16qILZlt3fW3NZT2cQNYCQses26O4AQTS1V9veuPrndQMYGvJvATSL1LfcuVl7tbIqy2qCRBon7sIHQNQLZGlQPv2ancnZdkmRQUIpOfxNN/pyvX6TzOXCdiFJQYQEDquiSp0XBPMw0+EgNDxRLTRQfQUqE/evRdSTzAPK1IghY3ppN37lxbZPkWvEOg6bxE6GpupCKRfnKY/PnNgKh2fxnHWOUzzinXn7GX0Xui4Zp+EjmuCefiJEBA6nog2OogeAvWHDfitaQ8sDzkRAu33qT4RB+UgJi/Q/nCwJoj3Apv8eJx4gPo92f3y9MS3elIHuOjuUr9Qyn8MhI4b9Mh7Om6AZpOiBYSORbdP8T0F/La0J5SHnSgBL05PVDsdzBIBL0yNx1QEPK9PpdPTO86u53HP7fnPgdBxgx759OoN0GxStIDQsej2Kb6HgFuReiB5yIkQaH9Su9k/EW11ED0EvDDtgeQhRQq0n9e9V2+RbVR0D4GUw/zeP3l2/gG+6YKBx89+xQf69rDb5UOEjhvqp5P0rz79zGxr74e0IaLNsheof1PaLPTO29/lwzWy75wC1xGob9fo2sYnna4j6bElCDTPX5zDlNAxNUYJCB2jJK2Tm0D7ef2m66/x4WC5NUk9YQLNt8/woUlhrIMuJHQclNfiBAgQIECAAAECBAgQIECAAAECBKYnIHScXs8dMQECBAgQIECAAAECBAgQIECAAIFBBYSOg/JanAABAgQIECBAgAABAgQIECBAgMD0BISO0+u5IyZAgAABAgQIECBAgAABAgQIECAwqIDQcVBeixM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]
},
{
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"execution_count": 38,
"id": "f6c09f78-138d-4ff1-9e0e-3ed15d743083",
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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"bio.system_heatmap(title_prefix=\"Reaction-Diffusion A + B <-> C\")"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "f22400ca-9ecb-4e34-a7f8-49cd73dc25e5",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "markdown",
"id": "4bbf1d0d",
"metadata": {},
"source": [
"### Advance to time t=5.936"
]
},
{
"cell_type": "code",
"execution_count": 39,
"id": "8e25b525",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"\n",
"++++++++++ ... ++++++++++ 1,000 steps later:\n",
"SYSTEM STATE at Time t = 3.936:\n",
"[[0.48683089 0.48684974 0.48687325 0.48688372 0.48687325 0.48684974\n",
" 0.48683089]\n",
" [0.48683089 0.48684974 0.48687325 0.48688372 0.48687325 0.48684974\n",
" 0.48683089]\n",
" [2.36959744 2.37011659 2.37076408 2.37105229 2.37076408 2.37011659\n",
" 2.36959744]]\n",
"\n",
"++++++++++ ... ++++++++++ 1,000 steps later:\n",
"SYSTEM STATE at Time t = 5.936:\n",
"[[0.48685551 0.48685582 0.48685621 0.48685639 0.48685621 0.48685582\n",
" 0.48685551]\n",
" [0.48685551 0.48685582 0.48685621 0.48685639 0.48685621 0.48685582\n",
" 0.48685551]\n",
" [2.37027551 2.37028411 2.37029484 2.37029961 2.37029484 2.37028411\n",
" 2.37027551]]\n"
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}
],
"source": [
"# Continue the simulation\n",
"for _ in range(2):\n",
" print(\"\\n++++++++++ ... ++++++++++ 1,000 steps later:\")\n",
" bio.react_diffuse(time_step=delta_t, n_steps=1000)\n",
" bio.describe_state(concise=True)"
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""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"bio.visualize_system(title_prefix=\"Reaction-Diffusion A + B <-> C\") # Line curve view"
]
},
{
"cell_type": "code",
"execution_count": 42,
"id": "2b2b3ea6-f8cc-452f-af03-e86e56302beb",
"metadata": {},
"outputs": [
{
"data": {
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"config": {
"plotlyServerURL": "https://plot.ly"
},
"data": [
{
"colorbar": {
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}
},
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],
"hovertemplate": "Conc.: %{z}
Bin number: %{x}
Chem: %{y}%{y}",
"texttemplate": "%{z:.2f}",
"type": "heatmap",
"xgap": 3,
"y": [
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"B",
"C"
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"ygap": 8,
"z": [
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"layout": {
"autosize": true,
"shapes": [
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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"bio.system_heatmap(title_prefix=\"Reaction-Diffusion A + B <-> C\")"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "83d7c318-78f3-410b-879b-849c96c6549a",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"id": "1a1b82a4-acff-4090-825b-cd2fd59ff3c7",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "markdown",
"id": "978c17e7",
"metadata": {
"tags": []
},
"source": [
"## Equilibrium in both diffusion and reaction \n",
"All bins now have essentially uniform concentration, for each of the chemicals"
]
},
{
"cell_type": "markdown",
"id": "67ded68a-b09f-42fd-b287-bdbad5da66b9",
"metadata": {},
"source": [
"In each bin at equilibrium, [A] = 0.49, [B] = 0.49, [C] = 2.37 \n",
"Let's verify that it's consistent with our (mostly-forward) equation `A + B <-> C`:"
]
},
{
"cell_type": "code",
"execution_count": 43,
"id": "9f2df08b-2d42-48f8-9295-b6dc331a2498",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"A + B <-> C\n",
"Current concentrations: [A] = 0.4869 ; [B] = 0.4869 ; [C] = 2.37\n",
"1. Ratio of reactant/product concentrations, adjusted for reaction orders: 9.99997\n",
" Formula used: [C] / ([A][B])\n",
"2. Ratio of forward/reverse reaction rates: 10\n",
"Discrepancy between the two values: 0.0003116 %\n",
"Reaction IS in equilibrium (within 1% tolerance)\n",
"\n"
]
},
{
"data": {
"text/plain": [
"True"
]
},
"execution_count": 43,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"bio.reaction_in_equilibrium(bin_address=0, rxn_index=0, explain=True) # Choice of bin is immaterial now, because they have all equilibrated"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "199fb008-d2f4-4048-8728-4ea098164347",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "markdown",
"id": "8218db1a-1ff9-4875-be46-985daaf3f7d0",
"metadata": {
"tags": []
},
"source": [
"**Mass conservation**: The initial \"**40** units of concentration\" (20 from `A` and 20 from `B`) can be located by adding up the final concentrations in the 7 bins. \n",
"Notice that the concentration of `C` needs to be multiplied by 2, because the production of each molecule of `C` consumed 2 of the original molecules (one `A` and one `B`)"
]
},
{
"cell_type": "code",
"execution_count": 44,
"id": "c054fd67-9d71-4a66-8927-41b6e6efaadd",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"40.040000000000006"
]
},
"execution_count": 44,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"(2.37 * 2 + 0.49 + 0.49) * 7"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "1f67862d-95ee-4ab2-8af4-9e4c74e1d409",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"id": "d40794ca-586b-44d1-9287-7cca8c90e857",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "markdown",
"id": "c1954c6e",
"metadata": {
"tags": []
},
"source": [
"# Plots of changes of concentration with time"
]
},
{
"cell_type": "code",
"execution_count": 45,
"id": "23682c52-a5fc-44a1-b704-1e7d243614be",
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.plotly.v1+json": {
"config": {
"plotlyServerURL": "https://plot.ly"
},
"data": [
{
"hovertemplate": "Chemical=A
SYSTEM TIME=%{x}
Concentration=%{y}",
"legendgroup": "A",
"line": {
"color": "red",
"dash": "solid",
"shape": "linear"
},
"marker": {
"symbol": "circle"
},
"mode": "lines",
"name": "A",
"showlegend": true,
"type": "scattergl",
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"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"bio.plot_history_single_bin(bin_address=0)"
]
},
{
"cell_type": "code",
"execution_count": 46,
"id": "478b1c1a-d541-47c4-9fc6-d75270002d9e",
"metadata": {},
"outputs": [
{
"data": {
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"config": {
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},
"data": [
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"shape": "linear"
},
"marker": {
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},
"mode": "lines",
"name": "A",
"showlegend": true,
"type": "scattergl",
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3r/sebRs6Tvvcajrnx72X4teGA6h5hY7xOKOfP6PB1+jnb/y8jMH+6IOORuf9uIf6NAnV6ny+jJuL0+5VXH3O//iBB/ebmuP2m0foWB109PyafC6l/dHIaAQIECBAgAABAgQIpBAQOqZQNAaBjgVi6DG8+rXjwzscAQIECBAgQIAAAQIECBAgQGBNAaGjCUIgY4G4Ui2ulKwurY+ltr2HYManqzQCBAgQIECAAAECBAgQIECgJwJCx5400mn0U2D08tjqLOteXttPFWdFgAABAgQIECBAgAABAgQI5C4gdMy9Q+ojQIAAAQIECBAgQIAAAQIECBAgUJiA0LGwhimXAAECBAgQIECAAAECBAgQIECAQO4CQsfcO6Q+AgQIECBAgAABAgQIECBAgAABAoUJCB0La5hyCRAgQIAAAQIECBAgQIAAAQIECOQuIHTMvUPqI0CAAAECBAgQIECAAAECBAgQIFCYgNCxsIYplwABAgQIECBAgAABAgQIECBAgEDuAkLH3DukPgIECBAgQIAAAQIECBAgQIAAAQKFCQgdC2uYcgkQIECAAAECBAgQIECAAAECBAjkLiB0zL1D6iNAgAABAgQIECBAgAABAgQIECBQmIDQsbCGKZcAAQIECBAgQIAAAQIECBAgQIBA7gJCx9w7pD4CBAgQIECAAAECBAgQIECAAAEChQkIHQtrmHIJECBAgAABAgQIECBAgAABAgQI5C4gdMy9Q+ojQIAAAQIECBAgQIAAAQIECBAgUJiA0LGwhimXAAECBAgQIECAAAECBAgQIECAQO4CQsfcO6Q+AgQIECBAgAABAgQIECBAgAABAoUJCB0La5hyCRAgQIAAAQIECBAgQIAAAQIECOQuIHTMvUPqI0CAAAECBAgQIECAAAECBAgQIFCYgNCxsIYplwABAgQIECBAgAABAgQIECBAgEDuAkLH3DukPgIECBAgQIAAAQIECBAgQIAAAQKFCQgdC2uYcgkQIECAAAECBAgQIECAAAECBAjkLiB0zL1D6iNAgAABAgQIECBAgAABAgQIECBQmIDQsbCGKZcAAQIECBAgQIAAAQIECBAgQIBA7gJCx9w7pD4CBAgQIECAAAECBAgQIECAAAEChQkIHQtrmHIJECBAgAABAgQIECBAgAABAgQI5C4gdMy9Q+ojQIAAAQIECBAgQIAAAQIECBAgUJiA0LGwhimXAAECBAgQIECAAAECBAgQIECAQO4CQsfcO6Q+AgQIECBAgAABAgQIECBAgAABAoUJCB0La5hyCRAgQIAAAQIECBAgQIAAAQIECOQuIHTMvUPqI0CAAAECBAgQIECAAAECBAgQIFCYgNCxsIYplwABAgQIECBAgAABAgQIECBAgEDuAkLH3DukPgIECBAgQIAAAQIECBAgQIAAAQKFCQgdC2uYcgkQIECAAAECBAgQIECAAAECBAjkLiB0zL1D6iNAgAABAgQIECBAgAABAgQIECBQmIDQsbCGKZcAAQIECBAgQIAAAQIECBAgQIBA7gJCx9w7pD4CBAgQIECAAAECBAgQIECAAAEChQkIHQtrmHIJECBAgAABAgQIECBAgAABAgQI5C4gdMy9Q+ojQIAAAQIECBAgQIAAAQIECBAgUJiA0LGwhimXAAECBAgQIECAAAECBAgQIECAQO4CQsfcO6Q+AgQIECBAgAABAgQIECBAgAABAoUJCB0La5hyCRAgQIAAAQIECBAgQIAAAQIECOQuIHTMvUPqI0CAAAECBAgQIECAAAECBAgQIFCYgNCxsIYplwABAgQIECBAgAABAgQIECBAgEDuAkLH3DukPgIECBAgQIAAAQIECBAgQIAAAQKFCQgdC2uYcgkQIECAAAECBAgQIECAAAECBAjkLiB0zL1D6iNAgAABAgQIECBAgAABAgQIECBQmIDQsbCGKZcAAQIECBAgQIAAAQIECBAgQIBA7gJCx9w7pD4CBAgQIECAAAECBAgQIECAAAEChQkIHRM07Ic/+XmCUQxBIH+BJ/3SwSGsWxd+9i+P5F+sCgkkEPjllTm/fmXOP2TOJ9A0RAkC5nwJXVJjSoFfPnzlc/6glc/5f/azTUpXY+Ur8K9X5vzBK3P+QXM+3yapbKrA05/6S1O3sUEeAkLHBH0QOiZANEQRAkLHItqkyIQCApiEmIYqQsCcL6JNikwoIHRMiGmoIgSEjkW0SZFTBISO5UwRoWOCXgkdEyAaoggBoWMRbVJkQgEBTEJMQxUhYM4X0SZFJhQQOibENFQRAkLHItqkSKFjb+aA0DFBK4WOCRANUYSA0LGINikyoYAAJiGmoYoQMOeLaJMiEwoIHRNiGqoIAaFjEW1SpNCxN3Ng6UPH92+/Lnz2pr9cbeipLzgxXH35Bfs1+LwLrwi33H7H4Gvjvi907M37wYlMERA6miLLJiCAWbaOO19z3hxYNgGh47J13PkKHc2BPgi4vLqcLi596Lj57IvCzh2XrXYs/vlVm38vnPv6Vwy+FkPJe+790WoQGQPIYzccFS7ecs7qPkLHcia8StsJCB3b+dm7PAEBTHk9U3E7AXO+nZ+9yxMQOpbXMxW3ExA6tvOzdx4CQsc8+lCniqUPHUeRrvn0F8LXv/Xt1ZAxhpCXvuvccNKmEwabfvPO74RtH7pmv6BS6FhnqtmmDwJCxz500Tk0ERDANNGybR8EzPk+dNE5NBEQOjbRsm0fBISOfeiicxA6ljMHhI4jvYorGZ//O88ZrHS89/4HwkvO2hpuvv7KsOHoIwdbjvua0LGcCa/SdgJCx3Z+9i5PQABTXs9U3E7AnG/nZ+/yBISO5fVMxe0EhI7t/Oydh0BOoeO4q2HzUJpexbh8a/pezbYQOg55xVWO2z/+uXDXrmsnBoyjTfnt3w7hlq8+0kzd1gQKFTj0kPUrla8Lex55rNAzUDaBZgJxzq9b+d9uc74ZnK2LFTDni22dwmcUOPTglc/59Suf83v8bDMjod0KEzhkZc6vN+cL65pyRwWe9K8O6Qxl9Dkg8cDPPO6Y1atfFxE6xitwzz7/0rDjqm2rV+XOAiJ0nEVtxn12fvlr4Z0f+OjUVY2jTVm3LoSH/lnoOCO73QoTEDoW1jDlthYQwLQmNEBhAuZ8YQ1TbmsBoWNrQgMUJiB0LKxhyh0r0FXouPG0N+wXMFbFxCDy6cc8dXCF7CJCx1TTQuiYSnLKOKMrHIc3n3ZPxxg6/s3fPxyefMTejqp1GAKLE3B59eLsHXkxAi41XYy7oy5OwJxfnL0jL0bA5dWLcXfUxQm4vHpx9o6cTqCLy6tjsHjbf7trv+d5jDuDKnSM3/vsTX852GR4JeRwUFl9P35t+DZ+1QONb9z5lfC9H9w32OXD73lb2HDMkYMVjdWr2mdcWDi6IjPuv/mMFw4ejjx83DjWWlf3puvSvpGW/vLqOEHi6+rLLxhrO+3p1TF0vO0bD4fjnyF0TD05jZefgNAxv56oaL4CApj5+ho9PwFzPr+eqGi+AkLH+foaPT8BoWN+PVFRc4EuQse4ynHLW14zWM241itmSrfcfscgJIwhX3zFEPFFz9sYLt5yzuDPo7lSdaVtFf7F7WPYWIWK1fdHL+OusqvR0HE0II3f/8Sf/JfB8eP33vwf/qfV55QMZ2BWOjafe432qIDH7TR8bXw1ieJ2p77gxP0Cyhg6fmnX7rBx0+ONjm1jAiUKCB1L7Jqa2wgIYNro2bdEAXO+xK6puY2A0LGNnn1LFBA6ltg1NY8KzDt0rLKiOvdMHHd5dbya9uvf+vYgO5oU7MWg8fw3vmoQVFYrHauAc9w+ccy4EnLnjsv2GzPaxAcg16k1bhsDzas+deMB41QPT04925Z+pWNb0Bg63nDT7nDyKULHtpb2z19A6Jh/j1SYVkAAk9bTaPkLmPP590iFaQWEjmk9jZa/gNAx/x6pcLpASaFj9dCXcWdVrY6cFDoOB4mTwsJ/uP8ng0uwq1WT445TraQc/l7c3krH6XNt4VsIHRfeAgV0KCB07BDbobIQEMBk0QZFdChgzneI7VBZCAgds2iDIjoUEDp2iO1QcxOYd+gYC29yefWxG45avZQ67ju80rEKHaeFgq/a/Hurl3KPW2k5a+gYz+O1Z56+Wt/wpd1Cx7lN0XQDx9Dxk9ftCS/f/Fi6QY1EIFMBoWOmjVHW3AQEMHOjNXCmAuZ8po1R1twEhI5zozVwpgJCx0wbo6xGAl2EjtMeJBODxUlPrx53efValz+3WekY4SZdXj0u8BQ6Nppqi984ho7bP7InnPU6oePiu6GCeQsIHectbPzcBAQwuXVEPfMWMOfnLWz83ASEjrl1RD3zFhA6zlvY+F0IdBE6xvOIqwRHn0RdBXnVQ2am3dMxjlM9QXp4tWMMJp/3W78eTtp0wsR7Ota5vDreizHWcPcP71990nb1IJn4AJnRQDKeU3y5vLqLmZrgGELHBIiGKEZA6FhMqxSaSEAAkwjSMMUImPPFtEqhiQSEjokgDVOMgNCxmFYpdA2BrkLH4cBwuJzRBw+vdXl1tV8VPA6PM/z06lkvr64eADP8AOR4jKrGGG5u//jnVg8b7yP5zg98VOhYyjssho4XXPhI2Hrho6WUrE4CMwsIHWems2OhAgKYQhun7JkFzPmZ6exYqIDQsdDGKXtmAaHjzHR2zEigy9Axo9MushRPr27ZNqFjS0C7FyUgdCyqXYpNICCASYBoiKIEzPmi2qXYBAJCxwSIhihKQOhYVLsUO0FA6FjO1BA6tuyV0LEloN2LEhA6FtUuxSYQEMAkQDREUQLmfFHtUmwCAaFjAkRDFCUgdCyqXYoVOhY/B4SOLVsYQ8f4EJn4MBkvAn0XEDr2vcPOb1RAAGNOLJuAOb9sHXe+QkdzYNkEhI7L1vF+nq+VjuX0VejYsldCx5aAdi9KQOhYVLsUm0BAAJMA0RBFCZjzRbVLsQkEhI4JEA1RlIDQsah2KXaCgNCxnKkhdGzZqxg6nnzK4+GGm3a3HMnuBPIXEDrm3yMVphUQwKT1NFr+AuZ8/j1SYVoBoWNaT6PlLyB0zL9HKpwuIHScbpTLFkLHlp0QOrYEtHtRAkLHotql2AQCApgEiIYoSsCcL6pdik0gIHRMgGiIogSEjkW1S7ETBISO5UwNoWPLXgkdWwLavSgBoWNR7VJsAgEBTAJEQxQlYM4X1S7FJhAQOiZANERRAkLHotqlWKFj8XNA6NiyhTF0PP4Ze8Nt33i45Uh2J5C/gNAx/x6pMK2AACatp9HyFzDn8++RCtMKCB3TehotfwGhY/49UuF0ASsdpxvlsoXQsWUnhI4tAe1elIDQsah2KTaBgAAmAaIhihIw54tql2ITCAgdEyAaoigBoWNR7VLsBAGhYzlTQ+jYslcxdHzyEXvD3/y9lY4tKe1egIDQsYAmKTGpgAAmKafBChAw5wtokhKTCggdk3IarAABoWMBTVLiVAGhYwibz75o4LRzx2VTvRa5gdCxpX4MHePrnh//vOVIdieQv4DQMf8eqTCtgAAmrafR8hcw5/PvkQrTCggd03oaLX8BoWP+PVLhdIFlDx2/eed3wseu+9Nw9w/vD5e+69xw0qYTpqMtaAuhY0t4oWNLQLsXJSB0LKpdik0gIIBJgGiIogTM+aLapdgEAkLHBIiGKEpA6FhUuxQ7QWDZQ8f3b78u/A+/9Rvh//q//3YgdPGWc7KdK0LHlq35lV8J4ac/DYPLq+Nl1l4E+iwgdOxzd53bOAEBjHmxbALm/LJ13PkKHc2BZRMQOi5bx/t5vp2Gjn/2Z4tDfOUrxx5742lvCDdff2X4h/t/ErZ96JqsL7EWOracPs9+dgjf/W4YPL06PsXai0CfBYSOfe6ucxM6mgMEQhA6mgXLJiB0XLaOO1+hoznQB4FOQ8etW0PYvr17tnjMd7zjgONWl1ZfffkFg+/FAHLHVduyvcRa6Nhy6px0Ugjf+lYIX9q1O2zc9HjL0bjUPEMAACAASURBVOxOIG8BoWPe/VFdegEBTHpTI+YtYM7n3R/VpRcQOqY3NWLeAkLHvPujunoCnYeOf/d39QpLudXpp48NHatLqzef8cLB0eKf4yvXS6yFji0nxYtfHMKuXSHccNPucPIpQseWnHbPXEDomHmDlJdcQACTnNSAmQuY85k3SHnJBYSOyUkNmLmA0DHzBimvlkCnoWOtirrbKK5sHPe6a9e13RXR4EhCxwZY4zYVOrYEtHtRAkLHotql2AQCApgEiIYoSsCcL6pdik0gIHRMgGiIogSEjkW1S7ETBJY1dIyXVo+7h2POl1gLHVu+jf/9vw/h858P4ZPX7Qkv3/xYy9HsTiBvAaFj3v1RXXoBAUx6UyPmLWDO590f1aUXEDqmNzVi3gJCx7z7o7p6AssaOp534RXh2A1HHXApdc6XWAsd683piVu98Y0hXHvtyn1FP7InnPU6oWNLTrtnLiB0zLxByksuIIBJTmrAzAXM+cwbpLzkAkLH5KQGzFxA6Jh5g5RXS2BZQ8daOJltJHRs2RChY0tAuxclIHQsql2KTSAggEmAaIiiBMz5otql2AQCQscEiIYoSkDoWFS7FDtBQOhYztQQOrbs1fveF8Ill4RwwYWPhK0XPtpyNLsTyFtA6Jh3f1SXXkAAk97UiHkLmPN590d16QWEjulNjZi3gNAx7/6orp6A0LGeUw5bCR1bdkHo2BLQ7kUJCB2LapdiEwgIYBIgGqIoAXO+qHYpNoGA0DEBoiGKEhA6FtUuxU4QEDqWMzWEji17JXRsCWj3ogSEjkW1S7EJBAQwCRANUZSAOV9UuxSbQEDomADREEUJCB2LapdihY7Fz4HOQ8fNZ18UvveD+8bC3bXr2uJA40Nk4n0d40Nk4sNkvAj0WUDo2OfuOrdxAgIY82LZBMz5Zeu48xU6mgPLJiB0XLaO9/N8rXQsp6+dho6THu9dDteBlQodS+6e2psKCB2bitm+dAEBTOkdVH9TAXO+qZjtSxcQOpbeQfU3FRA6NhWzfY4CQsccuzK+pk5Dx42nvSHsuGpbOGnTCeUITal0164QXvziEE4+5fFww027e3NeToTAOAGho3mxbAICmGXruPM1582BZRMQOi5bx52v0NEc6IOA0LGcLgodn+jVzi9/LVz1qRvDzh2X7de9az79hbD94587oKPVpeBCx3Imu0rbCwgd2xsaoSwBAUxZ/VJtewFzvr2hEcoSEDqW1S/VthcQOrY3NMLiBYSOi+9B3Qo6DR3j5dVnvuzUsPmMF9atb+7bffPO74Szz790cJxnHnfM2NDx69/6drj68gvG1iJ0nHuLHCAjAaFjRs1QSicCAphOmB0kIwFzPqNmKKUTAaFjJ8wOkpGA0DGjZihlZgGh48x0ne/YaegYA75tH7rmgGCv87Mec8C1VjquFTp+97shPPvZIRz/jL3htm88nMOpqIHA3ASEjnOjNXCmAgKYTBujrLkJmPNzozVwpgJCx0wbo6y5CQgd50Zr4A4Fljl0HPdw5pwfytxp6Bjv6bjWa5FQdS+vHl0NKXTs8JPFoRYuIHRceAsU0LGAAKZjcIdbuIA5v/AWKKBjAaFjx+AOt3ABoePCW6CABALLHjqe/8ZXrV5B/P7t14V77v3RxKtzE3C3GqLT0LFVpXPeeVLoOHrYeIl4fFWXW//0pyH8yq+E8JSnhPCP/zjnIg1PgAABAgQIECBAgAABAgQIECCwlAJxpeNw6Fg3y1oUltDxCfm6jaruATm8KnPdun2D3PPjny+qj45LoBMBKx07YXaQjASs+sqoGUrpRMCc74TZQTISsNIxo2YopRMBKx07YXaQOQt0udLxz/5sziezxvCvfOWB3xwNHePCuOf/znPCua9/xeIKXePInYeOww9uqeracdW2cNKmExYKJHRcKL+DFyIgdCykUcpMJiCASUZpoEIEzPlCGqXMZAJCx2SUBipEQOhYSKOUuaZAl6Hj1q0hbN/efUPiMd/xjvGh4/d+cN9+39jyltcIHaNIDPbe+YGPhpuvvzJsOPrIAdK99z8QXnLW1vDh97xtoU+1nhQ6xhR5547LVhsa//yi520MF285Z/VrRzxlb3jowXWDB8nEB8p4EeirgNCxr511XpMEBDDmxrIJmPPL1nHnK3Q0B5ZNQOi4bB3v5/l2HTr+3d9173j66ZNDx+HLq2Nl8fkpi87UJgl1utJxdBloVVTdVYbzaPO4lZfDKXFcqnrL7XesHvq1Z56+X+AYv/GMZ+4Nd39f6DiP/hgzLwGhY179UM38BQQw8zd2hLwEzPm8+qGa+QsIHedv7Ah5CQgd8+qHamYT6DJ0nK3C+e01LlfL+RLrTkPHmL6Ou5R63H0S59ei9CNvOvHxcNed68OXdu0OGzc9nv4ARiSQiYDQMZNGKKMzAQFMZ9QOlImAOZ9JI5TRmYDQsTNqB8pEQOiYSSOU0UpA6PiLp1fncvXwpIZ2GjrmuNKx1Ux/YuffPfXx8NVb14cbbtodTj5F6JjC1Bh5Cggd8+yLquYnIICZn62R8xQw5/Psi6rmJyB0nJ+tkfMUEDrm2RdVNRNY9tBx9J6OuV5aHbvaaeiY8z0dm03x/bcWOrbRs29JAkLHkrql1hQCApgUisYoScCcL6lbak0hIHRMoWiMkgSEjiV1S62TBJY5dCxtVnQaOkacXJ9e3aZxv/+Kx8IXdx4UPnndnvDyzY+1Gcq+BLIWEDpm3R7FzUFAADMHVENmLWDOZ90exc1BQOg4B1RDZi0gdMy6PYqrKSB0rAmVwWadh44ZnHPyEl77+sfC9Z85KGz/yJ5w1uuEjsmBDZiNgNAxm1YopCMBAUxH0A6TjYA5n00rFNKRgNCxI2iHyUZA6JhNKxTSQkDo2AKv412FjgnAhY4JEA1RhIDQsYg2KTKhgAAmIaahihAw54tokyITCggdE2IaqggBoWMRbVLkFAGhYzlTpJPQMT61Ot7Y8p0f+OiaMnfturYcuaFK/+NFj4QrLj8kXHDhI2HrhY8WeQ6KJlBHQOhYR8k2fRIQwPSpm86ljoA5X0fJNn0SEDr2qZvOpY6A0LGOkm1yFxA65t6hX9TXSehYDsdslQodZ3OzV3kCQsfyeqbidgICmHZ+9i5PwJwvr2cqbicgdGznZ+/yBISO5fVMxQcKCB3LmRWdho5xxeOOq7aFkzadsJ9QfKr1VZ+6MezccVk5ckOVVqHjm9/6aLjkg48UeQ6KJlBHQOhYR8k2fRIQwPSpm86ljoA5X0fJNn0SEDr2qZvOpY6A0LGOkm1yFxA65t6hX9SXRehYPdG61Mur/+iqPWHL2w8dPEQmPkzGi0BfBYSOfe2s85okIIAxN5ZNwJxfto47X6GjObBsAkLHZet4P89X6FhOX7MIHa/59BfCjTu/UuxKR6FjORNepe0EhI7t/OxdnoAApryeqbidgDnfzs/e5QkIHcvrmYrbCQgd2/nZOw8BoWMefahTxdxDx2oV47Rixl12PW2fXL7/f/7p7vDqMw8LJ5/yeLjhpt25lKUOAskFhI7JSQ2YuYAAJvMGKS+5gDmfnNSAmQsIHTNvkPKSCwgdk5MacAECQscFoM94yLmHjsN1Tbqn44y1Z7Ob0DGbVihkzgJCxzkDGz47AQFMdi1R0JwFzPk5Axs+OwGhY3YtUdCcBYSOcwY2fCcCQscQNp99UfjeD+7bzzvHWxZ2Gjp2MvsWcBCh4wLQHXIhAkLHhbA76AIFBDALxHfohQiY8wthd9AFCggdF4jv0AsREDouhN1BEwssc+h47/0PhJectTVsectrwrmvf8WqbLxtYXwNfy0x+0zDCR1nYtt/p6998+HwouceHo5/xt5w2zceTjCiIQjkKSB0zLMvqpqfgABmfrZGzlPAnM+zL6qan4DQcX62Rs5TQOiYZ19U1UxgmUPH8y68Ihy74ahw8ZZzmqEtaOtOQ8cqkZ10rjkuBa3TF6FjHSXb9EFA6NiHLjqHJgICmCZatu2DgDnfhy46hyYCQscmWrbtg4DQsQ9ddA5dho5/+2d/uzDw33jlbxxw7NJuW9hp6BivOX/V5t8Lz/utXw/bPnTN6tOqY1J75stODZvPeOHCmtnmwN/+fx8Ov/lrh4cnH7E3/M3fW+nYxtK+eQsIHfPuj+rSCwhg0psaMW8Bcz7v/qguvYDQMb2pEfMWEDrm3R/V1RPoMnT8i61/EW7bflu9whJu9bLtLwsveseL9huxWsh38/VXhg1HH5nwaPMbqtPQsUpkn3b0U8Obtl62GjrGJ1wPh5DzO935jPzDn/w8HPurvzQY/J4f/3w+BzEqgQwEhI4ZNEEJnQoIYDrldrAMBMz5DJqghE4FhI6dcjtYBgJCxwyaoITWAl2Hjg/83QOta246wLNPf/YBoWMcw0rHNSSHceK/V5dTx9Dx7PMvXf1z02Ysenuh46I74PhdCQgdu5J2nFwEBDC5dEIdXQmY811JO04uAkLHXDqhjq4EhI5dSTvOPAW6DB3neR6zjO2ejmuoRZzn/85zBk/TGf73+JSdG3d+ZXXl4yzwi9wnho7xQTJ3f3/d4EEy8YEyXgT6KCB07GNXndNaAgIY82PZBMz5Zeu48xU6mgPLJiB0XLaO9/N8lzl0rBbtjT69eueXvxZ+eN+PPb16eMrH1Y7Vq6Rr0kfftkLHfn6QOasDBYSOZsWyCQhglq3jztecNweWTUDouGwdd75CR3OgDwLLHDpW/RvO0+LXnnncMVku5Ov0no59mNzjziGGji897bBw153rw5d27Q4bNz3e11N1XksuIHRc8gmwhKcvgFnCpi/5KZvzSz4BlvD0hY5L2PQlP2Wh45JPgJ6cvtCxnEZ2GjqWdsPLum2MoeOrzzwsfPXW9eGGm3aHk08ROta1s11ZAkLHsvql2vYCApj2hkYoS8CcL6tfqm0vIHRsb2iEsgSEjmX1S7XjBYSO5cwMoWOCXgkdEyAaoggBoWMRbVJkQgEBTEJMQxUhYM4X0SZFJhQQOibENFQRAkLHItqkyCkCQsdypkinoWN8eMyZLzs1bD7jheUI1ag0ho5vOufQ8MWdB4VPXrcnvHzzYzX2sgmB8gSEjuX1TMXtBAQw7fzsXZ6AOV9ez1TcTkDo2M7P3uUJCB3L65mKDxQQOpYzKzoNHe+9/4Hwpq2XZXlzyzYti6HjlrcfGq7/zEFh+0f2hLNeJ3Rs42nffAWEjvn2RmXzERDAzMfVqPkKmPP59kZl8xEQOs7H1aj5Cggd8+2NyuoLCB3rWy16y05Dx9Gn64ye/F27rl20x0zHFzrOxGanAgWEjgU2TcmtBAQwrfjsXKCAOV9g05TcSkDo2IrPzgUKCB0LbJqSDxAQOpYzKToNHcthaVZpDB2vvPzgcMXlh4QLLnwkbL3w0WYD2JpAIQJCx0IapcxkAgKYZJQGKkTAnC+kUcpMJiB0TEZpoEIEhI6FNEqZawoIHcuZIJ2GjpOeXr3zy18LV33qxmIvuxY6ljPhVdpOQOjYzs/e5QkIYMrrmYrbCZjz7fzsXZ6A0LG8nqm4nYDQsZ2fvfMQEDrm0Yc6VWQROn7zzu+Es8+/NJR8efUnPnZwuOTdh4Q3v/XRcMkHH6ljbxsCxQkIHYtrmYJbCghgWgLavTgBc764lim4pYDQsSWg3YsTEDoW1zIFjxEQOpYzLbIIHa/59BfCjTu/UvRKx/gQmfgwmfgQmfgwGS8CfRQQOvaxq85pLQEBjPmxbALm/LJ13PkKHc2BZRMQOi5bx/t5vkLHcvo699CxWsU4jWTHVdvCSZtOmLbZ3L6/1iXe5114Rbjl9jsGxz71BSeGqy+/YL864uXVQse5tcbAGQkIHTNqhlI6ERDAdMLsIBkJmPMZNUMpnQgIHTthdpCMBISOGTVDKTMLCB1nput8x7mHjsNnNOmejp2f9dABh0PRZx53zAGrLd+//bpwz70/Wg0aYwB57IajwsVbzlkdJYaOX711fXj1mYeFk095PNxw0+5FnpJjE5ibgNBxbrQGzlRAAJNpY5Q1NwFzfm60Bs5UQOiYaWOUNTcBoePcaA3coYDQsUPslofqNHRsWetcd5+00nHz2ReFS9917uoqzBhSbvvQNfuFk0LHubbG4BkJCB0zaoZSOhEQwHTC7CAZCZjzGTVDKZ0ICB07YXaQjASEjhk1QykzCwgdZ6brfEeh4xPk40LHe+9/ILzkrK3h5uuvDBuOPnKw5bivxdDxrjvXh5eedljYuOnx8KVdVjp2PpMdsBMBoWMnzA6SkYAAJqNmKKUTAXO+E2YHyUhA6JhRM5TSiYDQsRNmB5mzgNBxzsAJh+88dIwrB7/3g/vGnsIin17dJnT82b88Eh58MITjn35IOOKIEO7+oadXJ5yjhspI4NBD1q9Usy7seeSxjKpSCoH5CcQ5v27lf7vN+fkhGzkrAXM+q3YopgOBQw9e+Zxfv/I5v8fPNh1wO0QGAoeszPn15nwGnVBCG4En/atD2uxu3w4FOg0dx90PscNzXfNQbUPHOHgMHWP4GEPHGD56EeibgNCxbx11PtMEBDDThHy/bwLmfN866nymCQgdpwn5ft8EhI596+hyno/QsZy+dxo65vggmapVbe/pGMeJl1fHy6zjg2TiA2W8CPRNwOXVfeuo85km4FLTaUK+3zcBc75vHXU+0wRcXj1NyPf7JuDy6r51dDnPx+XV5fRd6PhEryaFjnWfXh2HedM5h4Yv7jwofPK6PeHlm12iUc7bQKV1BYSOdaVs1xcBAUxfOuk86gqY83WlbNcXAaFjXzrpPOoKCB3rStkuZwGhY87d2b+2TkPHeHn1mS87NWw+44XZCMWnUZ99/qX71bPlLa8J577+Fatfi3Xfcvsdgz+f+oITw9WXX7Df9vFBMvF1ybsPCZ/42MHhkg8+Et781kezOUeFEEglIHRMJWmcUgQEMKV0Sp2pBMz5VJLGKUVA6FhKp9SZSkDomErSOIsUEDouUr/ZsTsNHWPAt+1D14SdOy5rVmXmW1eh4yBwXAkeY+AYg0cvAn0TEDr2raPOZ5qAAGaakO/3TcCc71tHnc80AaHjNCHf75uA0LFvHV3O8xE6ltP3TkPHeE/HtV6LfHp1m5ZVoeNXb10fXn3mYYP7Ocb7OnoR6JuA0LFvHXU+0wQEMNOEfL9vAuZ83zrqfKYJCB2nCfl+3wSEjn3r6HKej9CxnL53GjqWw9Ks0ip0vPv768KLnnt4ePIRe8Pf/P3DzQaxNYECBISOBTRJiUkFBDBJOQ1WgIA5X0CTlJhUQOiYlNNgBQgIHQtokhKnCggdpxJls4HQMUErqtAxDvWbv3Z4eOjBdYPQMYaPXgT6JCB07FM3nUsdAQFMHSXb9EnAnO9TN51LHQGhYx0l2/RJQOjYp24u77kIHcvpfeeh4/BDWXZctS2ctOmEEC+7fu2Zp4eLt5xTjtxQpcOh40tPOyzcdef6weXV8TJrLwJ9EhA69qmbzqWOgACmjpJt+iRgzvepm86ljoDQsY6SbfokIHTsUzeX91yEjuX0vtPQMQaOx244ahAubj77onDpu84dhI47v/y1cNWnbiz2ATPDoeObzjk0fHHnQWH7R/aEs173WDkzQaUEaggIHWsg2aRXAgKYXrXTydQQMOdrINmkVwJCx16108nUEBA61kCySfYCQsfsW7RaYKehY1zRePP1V4YNRx+5X+gYn2p99vmXhtIfJBNVPcG6nMmv0uYCQsfmZvYoW0AAU3b/VN9cwJxvbmaPsgWEjmX3T/XNBYSOzc3skZ+A0DG/nkyqqNPQMa5u/OSVFx0QOvZppaMnWJcz+VXaXEDo2NzMHmULCGDK7p/qmwuY883N7FG2gNCx7P6pvrmA0LG5mT3yExA65teTLELHaz79hXDjzq8MLqOuLq9+2tFPDS85a2vY8pbXhHNf/4py5IYqHb68Oj5EJj5MxhOsi2yloqcICB1NkWUTEMAsW8edrzlvDiybgNBx2TrufIWO5kAfBISO5XSx05WOkaW6lHqY6MPveVvYfMYLy1EbqXQ4dIzfqp5g/aVdu8PGTR4mU2xjFX6AgNDRpFg2AQHMsnXc+Zrz5sCyCQgdl63jzlfoaA70QUDoWE4XOw8dy6GpX+lo6PjqMw8L8TLrT163J7x8s4fJ1Je0Ze4CQsfcO6S+1AICmNSixstdwJzPvUPqSy0gdEwtarzcBYSOuXdIfXUEhI51lPLYptPQ8f3brwufvekvD3hgTHzAzGvPPH3wVOsSX6Oh45WXHxyuuPyQ8Oa3Phou+eAjJZ6SmgmMFRA6mhjLJiCAWbaOO19z3hxYNgGh47J13PkKHc2BPggIHcvpYqehY7yP4/lvfNUBl1L36UEysfUeJlPOG0ClzQSEjs28bF2+gACm/B46g2YC5nwzL1uXLyB0LL+HzqCZgNCxmZet8xQQOubZl3FVdRo6xhWNO67aFk7adMJ+tVT3ebxr17XlyA1VOrrSsXqYTNzknh//vMhzUjSBcQJCR/Ni2QQEMMvWcedrzpsDyyYgdFy2jjtfoaM50AcBoWM5Xew0dFyWlY6x/S897bBw153rww037Q4nn+JhMuW8JVS6loDQ0fxYNgEBzLJ13Pma8+bAsgkIHZet485X6GgO9EFA6FhOFzsNHeNl1O/8wEfDzddfGTYcfeRA6d77HwgvOWtrKPkJ1qMrHeN5XfLuQ8InPnbw4J6O8d6OXgT6ICB07EMXnUMTAQFMEy3b9kHAnO9DF51DEwGhYxMt2/ZBQOjYhy46B6FjOXOg09AxslSXUg8TjbvkuhzCEMaFjl/ceVB40zmHDlY5xtWOXgT6ICB07EMXnUMTAQFMEy3b9kHAnO9DF51DEwGhYxMt2/ZBQOjYhy46B6FjOXOg89CxHJr6lY4LHd3Xsb6fLcsREDqW0yuVphEQwKRxNEo5AuZ8Ob1SaRoBoWMaR6OUIyB0LKdXKp0sIHQsZ3YIHRP0alzoGId1X8cEuIbISkDomFU7FNOBgACmA2SHyErAnM+qHYrpQEDo2AGyQ2QlIHTMqh2KmVFA6Dgj3AJ26zx0jA+T+d4P7ht7qn15enV1ctV9Hc963WNh+0f2LKC9DkkgrYDQMa2n0fIXEMDk3yMVphUw59N6Gi1/AaFj/j1SYVoBoWNaT6MtRkDouBj3WY7aaeh43oVXhGM3HBUu3nLOLLVmu8+klY5fvXV9ePWZh4Xjn7E33PaNh7OtX2EE6goIHetK2a4vAgKYvnTSedQVMOfrStmuLwJCx7500nnUFRA61pWyXc4CQsecu7N/bZ2GjhtPe0Mo/aEx41o7KXSM277ouYeHu7+/bhA6xvDRi0DJAkLHkrun9lkEBDCzqNmnZAFzvuTuqX0WAaHjLGr2KVlA6Fhy99ReCQgdy5kLQscEvVordNzy9kPD9Z85KFzywUfCm9/6aIKjGYLA4gSEjouzd+TFCAhgFuPuqIsTMOcXZ+/IixEQOi7G3VEXJyB0XJy9I6cTEDqms5z3SJ2GjvHy6jNfdmrYfMYL531enY6/Vuj4xZ0HhTedc2g4+ZTHww037e60LgcjkFpA6Jha1Hi5Cwhgcu+Q+lILmPOpRY2Xu4DQMfcOqS+1gNAxtajxFiEgdFyE+mzH7DR0/Oad3wnbPnRN2LnjstmqzXSvtULHWPJv/trh4aEHXWKdafuU1UBA6NgAy6a9EBDA9KKNTqKBgDnfAMumvRAQOvaijU6igYDQsQGWTbMVEDpm25oDCus0dIz3dFzr1benV1fn6hLrct4QKl1bQOhohiybgABm2TrufM15c2DZBISOy9Zx5yt0NAf6ICB0LKeLnYaO5bA0q3TaSsfqEmtPsW7mauv8BISO+fVERfMVEMDM19fo+QmY8/n1REXzFRA6ztfX6PkJCB3z64mKmgsIHZubLWoPoWMC+WmhYzxE9RTrL+3aHTZuejzBUQ1BoHsBoWP35o64WAEBzGL9Hb17AXO+e3NHXKyA0HGx/o7evYDQsXtzR0wvIHRMbzqvETsPHeN9Hc8+/9L9zmfHVdvCSZtOmNc5zn3cOqFjdYn1Wa97LGz/yJ651+QABOYhIHSch6oxcxYQwOTcHbXNQ8Ccn4eqMXMWEDrm3B21zUNA6DgPVWN2LSB07Fp89uN1Gjru/PLXwjs/8NFw8/VXhg1HHzmo+t77HwgvOWtr+PB73lbsU63rhI533bk+vPS0w4JLrGefrPZcvIDQcfE9UEG3AgKYbr0dbfEC5vzie6CCbgWEjt16O9riBYSOi++BCtoLCB3bG3Y1Qqeh4+azLwrnv/FVB4SLMYy86lM3FvtU6zqhY2xoDB1j+BhXOsYVj14EShMQOpbWMfW2FRDAtBW0f2kC5nxpHVNvWwGhY1tB+5cmIHQsrWPqHScgdCxnXnQaOsanV4+7lLq65LqvT6+upsP1nzkoxMusTz7l8XDDTbvLmSUqJfCEgNDRVFg2AQHMsnXc+Zrz5sCyCQgdl63jzlfoaA70QUDoWE4XOw0dS1zpeM2nvxC2f/xzB3R0OCCtu9LxoQfXhZe++LBw9/fXhdu+8fDgUmsvAiUJCB1L6pZaUwgIYFIoGqMkAXO+pG6pNYWA0DGFojFKEhA6ltQttU4SEDqWMzc6DR1LvKdjDB2//q1vh6svv2BiV+uGjnEAD5Qp582h0gMFhI5mxbIJCGCWrePO15w3B5ZNQOi4bB13vkJHc6APAkLHcrrYaegYWUp7enXq0DGucnzRcw8fzBCrHct5o6h0n4DQ0UxYNgEBzLJ13Pma8+bAsgkIHZet485X6GgO9EFA6FhOFzsPHcuh2Vfp6OXVzzzumAMeeNNkpWMcs1rt+Oa3Phou+eAjpZGod4kFhI5L3PwlPXUBzJI2folP25xf4uYv6akLHZe08Ut82kLHJW5+j05d6FhOM4WODXt13oVXDPZY63LraUPu2hXCi18cwrOeFcJf/dW+/S0QNgAAIABJREFUf3oRIECAAAECBAgQIECAAAECBAgQ6ItAJ6FjdS/HD7/nbWHzGS/cz26t7+WIPO5J201XOsbzevWZh4Wv3rp+sNIxrnj0IlCCgJWOJXRJjSkFrPpKqWmsEgTM+RK6pMaUAlY6ptQ0VgkCVjqW0CU1ThOw0nGaUD7f7yR0jKsDj91wVLh4yzljz/z9268L99z7o1arB7siTRU6xsAxBo/xCdaf+/xuT7LuqoGO00pA6NiKz84FCghgCmyaklsJmPOt+OxcoIDQscCmKbmVgNCxFZ+dMxEQOmbSiBpldBI6bjztDWHHVdvCSZtOGFvSuCCvRu2dbLL57Iv2u4dj/POLnrdxvwB1lpWOsfhqteMFFz4Stl5otWMnDXWQVgJCx1Z8di5QQABTYNOU3ErAnG/FZ+cCBYSOBTZNya0EhI6t+OyciYDQMZNG1ChD6DgFKa7SvOX2O1a3eu2Zpx+wYnPW0NFqxxoz1CZZCQgds2qHYjoQEMB0gOwQWQmY81m1QzEdCAgdO0B2iKwEhI5ZtUMxMwoIHWeEW8BunYSOcXXgpe86d82Vjts+dM0BT4VegMdMh5w1dIwHq55kfdbrHgvbP7JnpuPbiUBXAkLHrqQdJxcBAUwunVBHVwLmfFfSjpOLgNAxl06ooysBoWNX0o4zTwGh4zx1047dSeh4zae/EL7+rW9PvGfjtHs+pj3l9KO1CR3v/v668KLnHj4o6rZvPOzejunbY8SEAkLHhJiGKkJAAFNEmxSZUMCcT4hpqCIEhI5FtEmRCQWEjgkxDbUwAaHjwugbH7iT0DFWFVc7xtfOHZftV2T8+vd+cF+4a9e1jYvPZYc2oWM8B6sdc+mkOqYJCB2nCfl+3wQEMH3rqPOZJmDOTxPy/b4JCB371lHnM01A6DhNyPdLEBA6ltClfTV2FjrGg8UVj9s//rn9dMbdI7Ecvn2Vtg0d42rH1/zBYSH+M15iHS+19iKQo4DQMceuqGmeAgKYeeoaO0cBcz7HrqhpngJCx3nqGjtHAaFjjl1RU1MBoWNTscVt32nouLjTnO+R24aOsbpPfOzgcMm7DxlcXv2lv9odnnzE3vkWbXQCMwgIHWdAs0vRAgKYotun+BkEzPkZ0OxStIDQsej2KX4GAaHjDGh2yU5A6JhdSyYWJHRM0KsUoWMsI97bMa52fPNbHw2XfPCRBJUZgkBaAaFjWk+j5S8ggMm/RypMK2DOp/U0Wv4CQsf8e6TCtAJCx7SeRluMgNBxMe6zHFXoOIvayD6pQsfhh8rccNPucPIpjyeozhAE0gkIHdNZGqkMAQFMGX1SZToBcz6dpZHKEBA6ltEnVaYTEDqmszTS4gSEjouzb3pkoWNTsTHbpwod49BXXn5wuOLyfZdZf+7zuz3NOkF/DJFOQOiYztJIZQgIYMrokyrTCZjz6SyNVIaA0LGMPqkynYDQMZ2lkRYnIHRcnH3TIwsdm4rNOXSMw1eXWccHysQHy3gRyEVA6JhLJ9TRlYAApitpx8lFwJzPpRPq6EpA6NiVtOPkIiB0zKUT6mgjIHRso9ftvkLHBN4pVzrGcuJl1i998WHhoQfXhQsufCRsvfDRBFUagkB7AaFje0MjlCUggCmrX6ptL2DOtzc0QlkCQsey+qXa9gJCx/aGRli8gNBx8T2oW4HQsa7UGtulDh3joa7/zEFhy9sPHRz1S7t2h42b3N8xQasM0VJA6NgS0O7FCQhgimuZglsKmPMtAe1enIDQsbiWKbilgNCxJaDdsxAQOmbRhlpFCB1rMa290TxCx3hE93dM0BxDJBUQOiblNFgBAgKYApqkxKQC5nxSToMVICB0LKBJSkwqIHRMymmwBQkIHRcEP8NhhY4zoI3uMq/QMR7nTeccGr648yAPlknQJ0O0FxA6tjc0QlkCApiy+qXa9gLmfHtDI5QlIHQsq1+qbS8gdGxvaITFCwgdF9+DuhUIHetKrbHdPEPHeF/HeH/HeJ/HeIn1DTftCU8+Ym+Cqg1BoLmA0LG5mT3KFhDAlN0/1TcXMOebm9mjbAGhY9n9U31zAaFjczN75CcgdMyvJ5MqEjom6NU8Q8dYXgwcX/MHgscErTJESwGhY0tAuxcnIIAprmUKbilgzrcEtHtxAkLH4lqm4JYCQseWgHbPQkDomEUbahUhdKzFtPZG8w4dBY8JmmSIJAJCxySMBilIQACzdrN+9v0HC+qmUusIxF9G169bF37280fqbG6bzAX2PLQ77Hnw4cyrXGx5v3ToQWHd+nXhXx5+dLGFODqBjgQOX5nzB63M+X825zsSd5h5CDzv3/3GPIY15hwEhI4JULsIHccFj5+8bs/gXo9eBLoSEDqGlV/edofdNX+B+6e7mwUyu1fGnuWXw7jfIyu/WLZ5/ezuh8buvnfvLz5j1q0EEZNeo9t1FUZFr/hL9bxe1SkPMax5qDg34hzxIkCAAAECBAgQIEBgPgLv3fve+Qxs1OQCQscEpF2FjqPBYwwcP/f53YLHBD00RD2BSaHjpCBuUug2KVxbKzyLwVL8/ugrhl0xcBv3veFtpwWAwqJ6c8BWBIYFnvSMIwZ/rALp4fB5VKrONnXHSr1dCbXFc+7C9xd/t7DvLxnWOmbdPpTgm+I863rU3W74L3pm7f2hTz4sHHrE4T641hCIK77ivH/0MX+Rb6Ish4A5vxx97vtZvuWWN/b9FHtzfkLHBK3sMnSM5cZ7PManWt915/rBQ2Xe98FHwlmveyzBmRiiFIHRkG80UBsN9caFeXFl2/AvMf80ZqXb6Cqy+EP5Q99rtnqvFNO6dR56xGHhsJVf4Or8Ev3Lx+8LZOq+DlsZe5ZfDgf7rfxi2eb1y8c/eezuTX/prUKKKoxqU1OdfaNX23Nf6zhNLzWNcyPOES8CpQq4pUCpnVP3rALu6TirnP1KFXBPx1I7p+5hAfd0LGc+CB0T9Krr0DGWHJ9q/d53HxKu/8xBgzN481sfDVvf+agnWyfoZ5shhsPA4fsoDYeAowFgdVlrDACHg7/RwK+ry1VnOf8qiIv7xpCqCjMnhW6TwrW1wrNDVkK1+P3RVzzevuD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""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"bio.plot_history_single_bin(bin_address=6)"
]
},
{
"cell_type": "code",
"execution_count": 47,
"id": "3609c4ec",
"metadata": {},
"outputs": [
{
"data": {
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},
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"name": "A",
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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"bio.plot_history_single_bin(bin_address=3)"
]
},
{
"cell_type": "markdown",
"id": "48abd311",
"metadata": {},
"source": [
"`A` and `B` overlap on the plot, due to the symmetry of the system. \n",
"Initially, in the middle bin, neither `A` nor `B` are present; over time they diffuse there... but then they react and get consumed (producing `C`), to an equilibrium value. \n",
"Meanwhile, `C` gradually diffuses to uniformity."
]
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