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"cell_type": "markdown",
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"# Transient separation of 2 chemicals in 1D, due to their different diffusion rates\n",
"\n",
"### Starting with identical concentrations in one of the bins, they initially separate... \n",
"### until they eventually attain identical concentrations at equilibrium \n",
"\n",
"For a complete separation by means of membranes, see experiment `membranes_3`"
]
},
{
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"id": "d5cc70a6-8aea-4b15-9351-af69a3664dab",
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"### TAGS : \"diffusion 1D\", \"basic\""
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{
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"id": "2b08132b-3002-444a-aaa4-68eb37342237",
"metadata": {},
"outputs": [],
"source": [
"LAST_REVISED = \"Aug. 15, 2025\"\n",
"LIFE123_VERSION = \"1.0.0rc6\" # Library version this experiment is based on"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "1302ee3c-4c75-4e67-9b77-d75d27d6d29a",
"metadata": {},
"outputs": [],
"source": [
"#import set_path # Using MyBinder? Uncomment this before running the next cell!"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "911ca4cb",
"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 BioSim1D, ChemData, PlotlyHelper, check_version"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "ff5b7f09-0b8b-4b10-bf4f-cb5b7b9f269a",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"OK\n"
]
}
],
"source": [
"check_version(LIFE123_VERSION)"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "0b243ad6-10d9-420e-b786-1be74bfe36de",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "markdown",
"id": "6faab103-5731-4c26-ad2a-a36a117167a1",
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"source": [
"## Prepare the initial system\n",
"with identical bin concentrations of the chemicals `A` and `B`, in the center bin. \n",
"`B` diffuses much faster than `A`"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "35b682f7-dfbd-44ec-8e72-6165b66a1007",
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"source": [
"chem_data = ChemData(names=[\"A\", \"B\"], diffusion_rates=[0.1, 2.], plot_colors=[\"turquoise\", \"green\"])\n",
"\n",
"bio = BioSim1D(n_bins=9, chem_data=chem_data)"
]
},
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"id": "733f6bbe-956e-46f1-87ae-50e91e44f6e1",
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"text": [
"SYSTEM STATE at Time t = 0:\n",
"9 bins and 2 chemical species\n"
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"linecolor": "white",
"ticks": ""
},
"bgcolor": "#E5ECF6",
"caxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
}
},
"title": {
"x": 0.05
},
"xaxis": {
"automargin": true,
"gridcolor": "white",
"linecolor": "white",
"ticks": "",
"title": {
"standoff": 15
},
"zerolinecolor": "white",
"zerolinewidth": 2
},
"yaxis": {
"automargin": true,
"gridcolor": "white",
"linecolor": "white",
"ticks": "",
"title": {
"standoff": 15
},
"zerolinecolor": "white",
"zerolinewidth": 2
}
}
},
"title": {
"text": "Diffusion. The 2 concentrations initially perfectly overlap
System snapshot at time t=0"
},
"xaxis": {
"anchor": "y",
"autorange": true,
"domain": [
0,
1
],
"range": [
0,
8
],
"title": {
"text": "Bin number"
},
"type": "linear"
},
"yaxis": {
"anchor": "x",
"autorange": true,
"domain": [
0,
1
],
"range": [
-0.5555555555555556,
10.555555555555555
],
"title": {
"text": "concentration"
},
"type": "linear"
}
}
},
"image/png": 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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"bio.visualize_system(title_prefix=\"Diffusion. The 2 concentrations initially perfectly overlap\") # Line curve view"
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "03d470cb-e098-4a21-802a-162a6611488f",
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.plotly.v1+json": {
"config": {
"plotlyServerURL": "https://plot.ly"
},
"data": [
{
"colorbar": {
"len": 0.519,
"title": {
"text": "Conc."
},
"x": 1.02,
"y": 0.78375
},
"colorscale": [
[
0,
"white"
],
[
1,
"turquoise"
]
],
"hovertemplate": "Conc.: %{z}
Bin #: %{x}
CHEM: %{y}A",
"texttemplate": "%{z:.3g}",
"type": "heatmap",
"xaxis": "x",
"xgap": 2,
"y": [
"A"
],
"yaxis": "y",
"ygap": 2,
"z": [
[
0,
0,
0,
0,
10,
0,
0,
0,
0
]
]
},
{
"colorbar": {
"len": 0.519,
"title": {
"text": "Conc."
},
"x": 1.02,
"y": 0.21625
},
"colorscale": [
[
0,
"white"
],
[
1,
"green"
]
],
"hovertemplate": "Conc.: %{z}
Bin #: %{x}
CHEM: %{y}B",
"texttemplate": "%{z:.3g}",
"type": "heatmap",
"xaxis": "x2",
"xgap": 2,
"y": [
"B"
],
"yaxis": "y2",
"ygap": 2,
"z": [
[
0,
0,
0,
0,
10,
0,
0,
0,
0
]
]
}
],
"layout": {
"autosize": true,
"shapes": [
{
"fillcolor": "turquoise",
"line": {
"width": 0
},
"type": "rect",
"x0": -0.7,
"x1": -0.6,
"xref": "x",
"y0": -0.485,
"y1": 0.485,
"yref": "y"
},
{
"fillcolor": "green",
"line": {
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},
"type": "rect",
"x0": -0.7,
"x1": -0.6,
"xref": "x2",
"y0": -0.485,
"y1": 0.485,
"yref": "y2"
}
],
"template": {
"data": {
"bar": [
{
"error_x": {
"color": "#2a3f5f"
},
"error_y": {
"color": "#2a3f5f"
},
"marker": {
"line": {
"color": "#E5ECF6",
"width": 0.5
},
"pattern": {
"fillmode": "overlay",
"size": 10,
"solidity": 0.2
}
},
"type": "bar"
}
],
"barpolar": [
{
"marker": {
"line": {
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"width": 0.5
},
"pattern": {
"fillmode": "overlay",
"size": 10,
"solidity": 0.2
}
},
"type": "barpolar"
}
],
"carpet": [
{
"aaxis": {
"endlinecolor": "#2a3f5f",
"gridcolor": "white",
"linecolor": "white",
"minorgridcolor": "white",
"startlinecolor": "#2a3f5f"
},
"baxis": {
"endlinecolor": "#2a3f5f",
"gridcolor": "white",
"linecolor": "white",
"minorgridcolor": "white",
"startlinecolor": "#2a3f5f"
},
"type": "carpet"
}
],
"choropleth": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"type": "choropleth"
}
],
"contour": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
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],
[
0.3333333333333333,
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],
[
0.4444444444444444,
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],
[
0.5555555555555556,
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[
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[
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],
[
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]
],
"type": "contour"
}
],
"contourcarpet": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"type": "contourcarpet"
}
],
"heatmap": [
{
"colorbar": {
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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"bio.system_heatmaps(title_prefix=\"Diffusion\")"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "bcc9da93-58ec-4d05-9a44-2c4b00d906d8",
"metadata": {},
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},
{
"cell_type": "markdown",
"id": "0f4d728a-b25f-4e8f-a09e-1a831d2d40fe",
"metadata": {},
"source": [
"## Request history-keeping for some bins"
]
},
{
"cell_type": "code",
"execution_count": 10,
"id": "e4753344-6e01-4c50-a3d7-c7f3774cf040",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"History enabled for bins [0, 2, 4], for ALL chemicals\n"
]
}
],
"source": [
"# Request to save the concentration history at the bin with the initial concentration injection, \n",
"# and at a couple of other bins\n",
"bio.enable_history(bins=[0, 2, 4], frequency=3, take_snapshot=True) "
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "3f9a7218-613a-4f57-b452-a5fc56b4fb8d",
"metadata": {},
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},
{
"cell_type": "code",
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"id": "c58f21b4-f5ba-457c-91fa-fbe511a2a75d",
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},
{
"cell_type": "markdown",
"id": "42c21d56-3f59-4b7e-a118-f9d2b206d909",
"metadata": {},
"source": [
"## Initial Diffusion Step"
]
},
{
"cell_type": "code",
"execution_count": 11,
"id": "89cde412-b19a-429b-9d23-785df3e8c85f",
"metadata": {},
"outputs": [
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"data": {
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]
},
"execution_count": 11,
"metadata": {},
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],
"source": [
"# Advancing to time t=1, with moderate time steps\n",
"bio.diffuse(total_duration=1.0, fraction_max_step=0.4)"
]
},
{
"cell_type": "code",
"execution_count": 13,
"id": "3a3042dc-36d7-4406-a120-64d81a38518c",
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"text": [
"SYSTEM STATE at Time t = 1.066656:\n",
"9 bins and 2 chemical species\n"
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},
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"data": {
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"\n",
"\n",
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\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",
" Bin 7 | \n",
" Bin 8 | \n",
"
\n",
" \n",
" \n",
" \n",
" | 0 | \n",
" A | \n",
" 0.1 | \n",
" 0.000031 | \n",
" 0.001396 | \n",
" 0.044318 | \n",
" 0.876317 | \n",
" 8.155875 | \n",
" 0.876317 | \n",
" 0.044318 | \n",
" 0.001396 | \n",
" 0.000031 | \n",
"
\n",
" \n",
" | 1 | \n",
" B | \n",
" 2.0 | \n",
" 0.397538 | \n",
" 0.694625 | \n",
" 1.209567 | \n",
" 1.725287 | \n",
" 1.945964 | \n",
" 1.725287 | \n",
" 1.209567 | \n",
" 0.694625 | \n",
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\n",
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\n",
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" Species Diff rate Bin 0 Bin 1 Bin 2 Bin 3 Bin 4 \\\n",
"0 A 0.1 0.000031 0.001396 0.044318 0.876317 8.155875 \n",
"1 B 2.0 0.397538 0.694625 1.209567 1.725287 1.945964 \n",
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" Bin 5 Bin 6 Bin 7 Bin 8 \n",
"0 0.876317 0.044318 0.001396 0.000031 \n",
"1 1.725287 1.209567 0.694625 0.397538 "
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},
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"metadata": {},
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"## The 2 chemicals `A` and `B`, previously identical in concentrations, have separated due to their different diffusion rates \n",
"Notice how `B` has spread out far more than `A`"
]
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",
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""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"bio.visualize_system(title_prefix=\"Diffusion\") # Line curve view"
]
},
{
"cell_type": "code",
"execution_count": 15,
"id": "e113afcd-7849-4229-a8e6-143cc52d3c2a",
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.plotly.v1+json": {
"config": {
"plotlyServerURL": "https://plot.ly"
},
"data": [
{
"colorbar": {
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"title": {
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},
"x": 1.02,
"y": 0.78375
},
"colorscale": [
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0,
"white"
],
[
1,
"turquoise"
]
],
"hovertemplate": "Conc.: %{z}
Bin #: %{x}
CHEM: %{y}A",
"texttemplate": "%{z:.3g}",
"type": "heatmap",
"xaxis": "x",
"xgap": 2,
"y": [
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],
"yaxis": "y",
"ygap": 2,
"z": [
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},
{
"colorbar": {
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"x": 1.02,
"y": 0.21625
},
"colorscale": [
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],
"hovertemplate": "Conc.: %{z}
Bin #: %{x}
CHEM: %{y}B",
"texttemplate": "%{z:.3g}",
"type": "heatmap",
"xaxis": "x2",
"xgap": 2,
"y": [
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"yaxis": "y2",
"ygap": 2,
"z": [
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"layout": {
"autosize": true,
"shapes": [
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"line": {
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"type": "rect",
"x0": -0.7,
"x1": -0.6,
"xref": "x",
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"type": "rect",
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"x1": -0.6,
"xref": "x2",
"y0": -0.485,
"y1": 0.485,
"yref": "y2"
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"template": {
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"error_x": {
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"error_y": {
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"width": 0.5
},
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"solidity": 0.2
}
},
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}
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"barpolar": [
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"pattern": {
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"solidity": 0.2
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"minorgridcolor": "white",
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"gridcolor": "white",
"linecolor": "white",
"minorgridcolor": "white",
"startlinecolor": "#2a3f5f"
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"type": "carpet"
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"choropleth": [
{
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"ticks": ""
},
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}
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"contourcarpet": [
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"ticks": ""
},
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}
],
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"heatmapgl": [
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},
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"solidity": 0.2
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},
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",
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""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"bio.system_heatmaps(title_prefix=\"Diffusion\")"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "04c4366c-80be-4cba-88f8-6104c876a6b9",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"id": "25680058-e0eb-4ea0-9bd4-53d65388351d",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "markdown",
"id": "e7e88e5a-fc8b-4126-8649-d929f1d01c93",
"metadata": {},
"source": [
"## Let's advance the diffusion"
]
},
{
"cell_type": "code",
"execution_count": 16,
"id": "d2d03950-64b1-4a39-8bf2-204abd57f791",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"{'steps': 31, 'system time': '3.1333', 'time_step': 0.066666}"
]
},
"execution_count": 16,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"bio.diffuse(total_duration=2.0, fraction_max_step=0.4)"
]
},
{
"cell_type": "code",
"execution_count": 17,
"id": "eb35e7ea-c2f9-41bb-8b5b-393be9f2aeb6",
"metadata": {
"tags": []
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"SYSTEM STATE at Time t = 3.133302:\n",
"9 bins and 2 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",
" Bin 7 | \n",
" Bin 8 | \n",
"
\n",
" \n",
" \n",
" \n",
" | 0 | \n",
" A | \n",
" 0.1 | \n",
" 0.002127 | \n",
" 0.027200 | \n",
" 0.270603 | \n",
" 1.770845 | \n",
" 5.858450 | \n",
" 1.770845 | \n",
" 0.270603 | \n",
" 0.027200 | \n",
" 0.002127 | \n",
"
\n",
" \n",
" | 1 | \n",
" B | \n",
" 2.0 | \n",
" 1.009997 | \n",
" 1.057293 | \n",
" 1.129782 | \n",
" 1.193555 | \n",
" 1.218748 | \n",
" 1.193555 | \n",
" 1.129782 | \n",
" 1.057293 | \n",
" 1.009997 | \n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" Species Diff rate Bin 0 Bin 1 Bin 2 Bin 3 Bin 4 \\\n",
"0 A 0.1 0.002127 0.027200 0.270603 1.770845 5.858450 \n",
"1 B 2.0 1.009997 1.057293 1.129782 1.193555 1.218748 \n",
"\n",
" Bin 5 Bin 6 Bin 7 Bin 8 \n",
"0 1.770845 0.270603 0.027200 0.002127 \n",
"1 1.193555 1.129782 1.057293 1.009997 "
]
},
"execution_count": 17,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"bio.describe_state()"
]
},
{
"cell_type": "markdown",
"id": "d348a40e-5cab-4027-b48d-56163db68cb1",
"metadata": {},
"source": [
"## `B` is close to equilibrium, while `A` is nowhere near it!"
]
},
{
"cell_type": "code",
"execution_count": 18,
"id": "487fa7cb-2de7-4771-a55b-6daa5e8f6675",
"metadata": {},
"outputs": [
{
"data": {
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"config": {
"plotlyServerURL": "https://plot.ly"
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"data": [
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"hovertemplate": "Chemical=A
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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"bio.visualize_system(title_prefix=\"Diffusion\") # Line curve view"
]
},
{
"cell_type": "code",
"execution_count": 19,
"id": "a53ca176-5923-4212-a9e5-5ac85c7e5f32",
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.plotly.v1+json": {
"config": {
"plotlyServerURL": "https://plot.ly"
},
"data": [
{
"colorbar": {
"len": 0.519,
"title": {
"text": "Conc."
},
"x": 1.02,
"y": 0.78375
},
"colorscale": [
[
0,
"white"
],
[
1,
"turquoise"
]
],
"hovertemplate": "Conc.: %{z}
Bin #: %{x}
CHEM: %{y}A",
"texttemplate": "%{z:.3g}",
"type": "heatmap",
"xaxis": "x",
"xgap": 2,
"y": [
"A"
],
"yaxis": "y",
"ygap": 2,
"z": [
[
0.0021274333737632124,
0.027200146582744982,
0.2706026034618563,
1.7708445892427003,
5.858450454677872,
1.7708445892427003,
0.2706026034618563,
0.027200146582744982,
0.0021274333737632124
]
]
},
{
"colorbar": {
"len": 0.519,
"title": {
"text": "Conc."
},
"x": 1.02,
"y": 0.21625
},
"colorscale": [
[
0,
"white"
],
[
1,
"green"
]
],
"hovertemplate": "Conc.: %{z}
Bin #: %{x}
CHEM: %{y}B",
"texttemplate": "%{z:.3g}",
"type": "heatmap",
"xaxis": "x2",
"xgap": 2,
"y": [
"B"
],
"yaxis": "y2",
"ygap": 2,
"z": [
[
1.0099970972548098,
1.0572927283324394,
1.1297815047992312,
1.1935547311545183,
1.2187478769180018,
1.1935547311545183,
1.1297815047992312,
1.0572927283324394,
1.0099970972548098
]
]
}
],
"layout": {
"autosize": true,
"shapes": [
{
"fillcolor": "turquoise",
"line": {
"width": 0
},
"type": "rect",
"x0": -0.7,
"x1": -0.6,
"xref": "x",
"y0": -0.485,
"y1": 0.485,
"yref": "y"
},
{
"fillcolor": "green",
"line": {
"width": 0
},
"type": "rect",
"x0": -0.7,
"x1": -0.6,
"xref": "x2",
"y0": -0.485,
"y1": 0.485,
"yref": "y2"
}
],
"template": {
"data": {
"bar": [
{
"error_x": {
"color": "#2a3f5f"
},
"error_y": {
"color": "#2a3f5f"
},
"marker": {
"line": {
"color": "#E5ECF6",
"width": 0.5
},
"pattern": {
"fillmode": "overlay",
"size": 10,
"solidity": 0.2
}
},
"type": "bar"
}
],
"barpolar": [
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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"bio.system_heatmaps(title_prefix=\"Diffusion\")"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "c41d3d33-453d-4ad8-aa5b-9851e8052869",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"id": "b939cc71-ef9c-46f2-9fb1-198c44afa967",
"metadata": {},
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"source": [
"## Let's advance the diffusion some more"
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"id": "464f3296-6abd-4f87-9a6a-6a5ad6455c16",
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"metadata": {},
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"id": "daf81eae-7960-4958-8d29-df940af3cdb5",
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"SYSTEM STATE at Time t = 5.199948:\n",
"9 bins and 2 chemical species\n"
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\n",
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" | \n",
" Species | \n",
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" Bin 1 | \n",
" Bin 2 | \n",
" Bin 3 | \n",
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" Bin 7 | \n",
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\n",
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" A | \n",
" 0.1 | \n",
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" 2.107562 | \n",
" 4.536688 | \n",
" 2.107562 | \n",
" 0.524250 | \n",
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" Species Diff rate Bin 0 Bin 1 Bin 2 Bin 3 Bin 4 \\\n",
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}
],
"source": [
"bio.visualize_system(title_prefix=\"Diffusion\") # Line curve view"
]
},
{
"cell_type": "code",
"execution_count": 24,
"id": "e01a3323-183a-4807-b003-576a967af1fa",
"metadata": {},
"outputs": [
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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"bio.system_heatmaps(title_prefix=\"Diffusion\")"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "56a2486b-fec4-4f66-89b9-d385b3c5d193",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"id": "fb271991-ba29-4eca-bdc5-476384d97023",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "markdown",
"id": "0122c18c-a669-4048-9614-ec08f4f52856",
"metadata": {},
"source": [
"## Finally, let's advance the diffusion to equilibrium"
]
},
{
"cell_type": "code",
"execution_count": 25,
"id": "2f056628-1d2b-4bec-8e46-d421eb22a625",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"{'steps': 1426, 'system time': '100.27', 'time_step': 0.066666}"
]
},
"execution_count": 25,
"metadata": {},
"output_type": "execute_result"
}
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"SYSTEM STATE at Time t = 100.26566:\n",
"9 bins and 2 chemical species\n"
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" Species Diff rate Bin 0 Bin 1 Bin 2 Bin 3 Bin 4 \\\n",
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"## All bins now have essentially uniform concentration \n",
"## Notice that the concentrations of `A` and `B` in the central bin 4 are again essentially identical; the separation of `A` and `B` is coming to an end"
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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"bio.visualize_system(title_prefix=\"Diffusion\") # Line curve view"
]
},
{
"cell_type": "code",
"execution_count": 28,
"id": "1fd8fd60-a828-44fd-89ca-41b0a47351e9",
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.plotly.v1+json": {
"config": {
"plotlyServerURL": "https://plot.ly"
},
"data": [
{
"colorbar": {
"len": 0.519,
"title": {
"text": "Conc."
},
"x": 1.02,
"y": 0.78375
},
"colorscale": [
[
0,
"white"
],
[
1,
"turquoise"
]
],
"hovertemplate": "Conc.: %{z}
Bin #: %{x}
CHEM: %{y}A",
"texttemplate": "%{z:.3g}",
"type": "heatmap",
"xaxis": "x",
"xgap": 2,
"y": [
"A"
],
"yaxis": "y",
"ygap": 2,
"z": [
[
1.0920970097579135,
1.1009938021293282,
1.1146246721611521,
1.1266116514140567,
1.131345729075102,
1.1266116514140567,
1.1146246721611521,
1.1009938021293282,
1.0920970097579135
]
]
},
{
"colorbar": {
"len": 0.519,
"title": {
"text": "Conc."
},
"x": 1.02,
"y": 0.21625
},
"colorscale": [
[
0,
"white"
],
[
1,
"green"
]
],
"hovertemplate": "Conc.: %{z}
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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"bio.system_heatmaps(title_prefix=\"Diffusion\")"
]
},
{
"cell_type": "markdown",
"id": "e7658881-8226-49fb-a111-d99a5aab222a",
"metadata": {},
"source": [
"#### Verify that the total amount of each chemicals hasn't changed"
]
},
{
"cell_type": "code",
"execution_count": 29,
"id": "6e99107a-1515-41dd-a059-498c7144548c",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"True"
]
},
"execution_count": 29,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Let's verify mass conservation\n",
"bio.check_mass_conservation(chem_label=\"A\", expected=10.)"
]
},
{
"cell_type": "code",
"execution_count": 30,
"id": "2b42e476-1a31-4686-926c-b42f6704c946",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"True"
]
},
"execution_count": 30,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"bio.check_mass_conservation(chem_label=\"B\", expected=10.)"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "34fa53fc-a06e-4189-bdef-1ca2fb3a9c66",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"id": "6a4fc3f5-d17e-40ce-ab8b-e6f83650690b",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "markdown",
"id": "0b849e69-314e-4c9d-afe7-135c8b0b8a36",
"metadata": {},
"source": [
"## Visualization of time changes at particular bins"
]
},
{
"cell_type": "markdown",
"id": "5c3e4c3a-7ef6-4e87-b1dd-b35e855d033c",
"metadata": {},
"source": [
"#### Instead of visualizing the entire system at a moment in time, like in the previous diagrams, let's now look at the time evolution of the concentrations of `A` and `B` at selected bins (bins whose history-keeping we requested prior to running the simulation)"
]
},
{
"cell_type": "code",
"execution_count": 31,
"id": "1a1dd41d",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" SYSTEM TIME | \n",
" A | \n",
" B | \n",
"
\n",
" \n",
" \n",
" \n",
" | 0 | \n",
" 0.000000 | \n",
" 10.000000 | \n",
" 10.000000 | \n",
"
\n",
" \n",
" | 1 | \n",
" 0.199998 | \n",
" 9.607945 | \n",
" 4.725956 | \n",
"
\n",
" \n",
" | 2 | \n",
" 0.399996 | \n",
" 9.238843 | \n",
" 3.251818 | \n",
"
\n",
" \n",
" | 3 | \n",
" 0.599994 | \n",
" 8.891203 | \n",
" 2.617687 | \n",
"
\n",
" \n",
" | 4 | \n",
" 0.799992 | \n",
" 8.563635 | \n",
" 2.254197 | \n",
"
\n",
" \n",
" | ... | \n",
" ... | \n",
" ... | \n",
" ... | \n",
"
\n",
" \n",
" | 496 | \n",
" 99.399006 | \n",
" 1.132184 | \n",
" 1.111111 | \n",
"
\n",
" \n",
" | 497 | \n",
" 99.599004 | \n",
" 1.131988 | \n",
" 1.111111 | \n",
"
\n",
" \n",
" | 498 | \n",
" 99.799002 | \n",
" 1.131793 | \n",
" 1.111111 | \n",
"
\n",
" \n",
" | 499 | \n",
" 99.999000 | \n",
" 1.131600 | \n",
" 1.111111 | \n",
"
\n",
" \n",
" | 500 | \n",
" 100.198998 | \n",
" 1.131409 | \n",
" 1.111111 | \n",
"
\n",
" \n",
"
\n",
"
501 rows × 3 columns
\n",
"
"
],
"text/plain": [
" SYSTEM TIME A B\n",
"0 0.000000 10.000000 10.000000\n",
"1 0.199998 9.607945 4.725956\n",
"2 0.399996 9.238843 3.251818\n",
"3 0.599994 8.891203 2.617687\n",
"4 0.799992 8.563635 2.254197\n",
".. ... ... ...\n",
"496 99.399006 1.132184 1.111111\n",
"497 99.599004 1.131988 1.111111\n",
"498 99.799002 1.131793 1.111111\n",
"499 99.999000 1.131600 1.111111\n",
"500 100.198998 1.131409 1.111111\n",
"\n",
"[501 rows x 3 columns]"
]
},
"execution_count": 31,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"bin4_hist = bio.conc_history.bin_history(bin_address=4) # The bin where the initial concentration of `A` and `B` was applied\n",
"bin4_hist"
]
},
{
"cell_type": "code",
"execution_count": 32,
"id": "8c21c514-e846-4be2-874a-94c0374b3844",
"metadata": {},
"outputs": [
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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"bio.plot_history_single_bin(bin_address=4, title_prefix=\"`A` and `B` separate, until they finally rejoin\")"
]
},
{
"cell_type": "markdown",
"id": "c4045c32-883f-4742-9788-9572a20e3f2c",
"metadata": {},
"source": [
"## The transient separation of `A` and `B` is best seen by plotting the difference of their concentrations, as a function of time"
]
},
{
"cell_type": "code",
"execution_count": 33,
"id": "e8941909-2e44-416a-b6f7-155713fdc922",
"metadata": {
"tags": []
},
"outputs": [
{
"data": {
"text/plain": [
"0 0.000000\n",
"1 4.881988\n",
"2 5.987024\n",
"3 6.273516\n",
"4 6.309437\n",
" ... \n",
"496 0.021073\n",
"497 0.020877\n",
"498 0.020682\n",
"499 0.020489\n",
"500 0.020298\n",
"Length: 501, dtype: float64"
]
},
"execution_count": 33,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"bin4_hist[\"A\"] - bin4_hist[\"B\"]"
]
},
{
"cell_type": "code",
"execution_count": 34,
"id": "9fa88d53-cb0a-4d08-b942-cba9bee48d8d",
"metadata": {
"tags": []
},
"outputs": [
{
"data": {
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"text": "SYSTEM TIME"
},
"type": "linear"
},
"yaxis": {
"anchor": "x",
"autorange": true,
"domain": [
0,
1
],
"range": [
-0.35052429228904824,
6.659961553491916
],
"title": {
"text": "[A] - [B]"
},
"type": "linear"
}
}
},
"image/png": 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"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"PlotlyHelper.plot_curves(x=bin4_hist['SYSTEM TIME'], y = bin4_hist['A'] - bin4_hist['B'], \n",
" x_label=\"SYSTEM TIME\", y_label=\"[A] - [B]\", \n",
" colors=\"purple\", title=\"Transient separation of `A` and `B`, as seen in central bin 4\")"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "7c31ba23-51d4-460f-9255-556c60537c6d",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "markdown",
"id": "f652a09b-eb1c-4761-b908-fc1ab88bb8c6",
"metadata": {},
"source": [
"## The transient separation of `A` and `B` is also seen in other bins..."
]
},
{
"cell_type": "code",
"execution_count": 35,
"id": "8ec138e6-7c56-4add-b278-3e8a2886076f",
"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": "turquoise",
"dash": "solid",
"shape": "linear"
},
"marker": {
"symbol": "circle"
},
"mode": "lines",
"name": "A",
"showlegend": true,
"type": "scattergl",
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khik7+PKuX9M1Ox59Yr2k3aozqS1Ja0fYvIgl1RH+fpq+FsXhhX/dLCoHwveV8GdV6w2/fJk82Hyuo+7Lpi02u19FvaCGPx9anq00sr3PdLpHdMqVzWc3ruw3tvxeFl5765C1ZYL8oj5zUevfBO/X3UiNNH0hi9TQttnkMstiu0EuYbFgm6Pwz/EoQREnL5Aaae9onA8BCEAAAr4SaIzU8DUBxFU+gTRTasqPlggg0GwCNlM4lBCf62b3k6JbbzvVpui4qA8CEIAABCDQBAJIjSZkmTZ2JMDLDx0EAtUhgNSoTq6aEmnadaGawoV2QgACEIAABIoigNQoijT1eEsAqeFtaggMAgcRQGrQKXwjYKYL5TGFy7e2Eg8EIAABCEDARwJIDR+zQkwQgAAEIAABCEAAAhCAAAQgAAEIJBJAaiQi4gQIQAACEIAABCAAAQhAAAIQgAAEfCSA1PAxK8QEAQhAAAIQgAAEIAABCEAAAhCAQCIBpEYiIk6AAAQgAAEIQAACEIAABCAAAQhAwEcCSA0fs0JMEIAABCAAAQhAAAIQgAAEIAABCCQSQGokIuIECEAAAhCAAAQgAAEIQAACEIAABHwkgNTwMSvE1AgCujWlOWbPPF1WLFvUiHbn2UiYHqBrtik2rJ+4/2YZP+7YrtCHt1Jd/8LLsvDaW+WGqxfIhfNmdVW2Xjx/4TJ5a+t2WffI7V2XVZUCqrKdtOtcVyU/xAkBCEAAAhCAQDUINEZqBF92mvAiGX4Bcd0d48pfvHSlrF23UVbdco1Mm3qK62prU97Mc6+Sz5zyKW9ERh3ymYZpp5dJLWfb9h2y6Zl7K9nfHnj0abnpttXiQmQEATRRahiWl8yfI0uuuMB5fyhLaqQVSGmkRp4/A8KybvTRoxolwZx3QAqEAAQgAAEI1IRA7aWGecAK/yb8jS1vy9yLrmunsaovL536IFLD30+oeUHwSfxUXWqkZVpnqaEvrHqsWbXU6YcAqYHUsBmVk5fUMOUGZV1aOeP0A0FhEIAABCAAAQh4Q6DWUsP8lq3Tg5g+FLl++Pchu2VJDR/a7nsMef0mvZt2591fuonN5tq0TMv6DblNW7o9J82IlTR1NVFqpOGT5dyy+mFaGZBmpEYWDknXmF9ChEfMmK/byJakOvg+BCAAAQhAAALVJVBrqaEP93qkmaNtHt6CKQ0P4w4+iC74+rfaQ9XNETXkOzgqxJwXHjYbdU74N/nmQXT1d/9ucJSJlhcuK2qqjTkn+HD67/+xVe5d82Q7JB3Jsvjy84aUa2INj3LpVH7cQ3oeXKM+dua3eeHvReUl6lybIftp6gjHER4+bb6vo4Xi2JkX9mB/sO0LpnxTRjAek1ef86nxJvWdTkyj+kjc+ebFKOqFz7zQjz1u9OBnRss2L1nhPhH3kmWmtpi40k5rCOcqXE9ULpPqCMcUdU/Rr7mQGlF1mc+ciz4dHnVnyvzm317aXv/DHCefeEJbZoc/F+F7XdzLfNI93fYeEfWZjyrbds0dm1wqk1//5rWDPhqd7n1BDi/86+b2FENzhH9ORbXJ9J2pfz6xPTUq7mdL1OdVvxZ1DzTnapuPG3N0LX85EceDr0MAAhCAAAQgMJRAbaWGeTC0fRhULOZhLPiQ1ulrek3SUNi40SL6IKZyQhfvi5q3HXWdeRiNkhhR4iGq7cEXxLjfegVfDOI4xv1mP+qBNg+ucR9kfZnQF8/g/Pe4Ycv6YB9sq60Es60j7QN6Wqmh8dv0haj2a15VyBnh52s+bftOp5eeqDx0+g15nNTQcoKfmeALcdTXg/cR8zkyL9NaVpp7lPncBuuJ+pqWm/YlT8/Xl/7gGjhRn4VupEZcW7Vv6ouuLjSa5v4WNcWh0+c8iruyivp6FOOgPLK5p9veI8L9MCqnNiMOgy/4NrnMOlJD6wmy6PT5DP5sNLIt+DMpzeiPtJ9XHvQgAAEIQAACEGgWgdpKjbgH/k7pjXuxCz8Apnn5tBnW32k9g1++/G+DL55xD6LmYT74gh5XZpoHScNKyw/GoV9P8xKcB9c0H9OoIcqd4s+yIGCaYdBxL+Bp+pVtX7DNt6/5tO07RUiNuHV54uRg8Otx+bKdNhN3fVSfSSs1oj5LUXF1IzVsXqJd9Onw1Ju4MuMYhb8e9fmxuadHMY26R4TzF3cP0Gv/+7/8OtMuM1G5tMlHsA2d7iNhZp1GaoR3eLLtq1HCysSXti1pfnZwLgQgAAEIQAAC1SCA1PgoT50e2mwfPMMvVjYvlDb1Gllh+9DfSTrYxBQ3PNlGmsT95jFqOH5WrkkfrajpCnpN8CXTDNNOGpofV5dNHXHXFik1bOfs20oNm/5qfkObRtJEsUpTVxlSo9PnLMwzSTImLRqbdH3w82X7ohhkHjclJxhXN1LDRgTY3t+Sfmuv7TLrJMWVafv1cB+0uX8arjb3iHBbgqN/si5gbZPLtCKgU7vDUh2pkfQTiu9DAAIQgAAEIOCaQO2lhu30k04vReEhtrYvazYvWlFrHYSTHJ5zHl4jxNVIDRNLeEpDmvLjHtKjXtqycu30ITCyIviSF7fIXNT886SXS607TR1RsRYpNaJyFxWTrdTI43OSVv7o+eG+Y/NZi3qJj1pHoNOaGuHfNMdxC349ao2EcJs7LXQY13+1jKgRaWmkRjC2IIsonlmlRqf4gxxspUbcehWmrOD9y1ZemGvD54df5m37me09IupnSdTPhOA0mbjPS5pcVk1qJImst7ZuT7V2lusHKcqDAAQgAAEIQKBcArWVGublU/+2WSg0zW+FbaWGzW/1zDk2L9O2D/3a5jS/2Y17oDdf70Zq5ME17iOTtKhfp1EZtlv8dlOHibtIqcFIjejekvYlyUZeBGuKGqmRdVRQ2s9zGqlhey+LisHm/maY5DFSw2Ykg2upYdPmNPcIm8+nuf8m9Z80uXQpNWymZ8bl37avslBouQ+K1A4BCEAAAhDwnUCtpYZ5yOv0MKgPjOa3r7bz99M8PMaVqQ9p/9tfnNxeKNTmgV87UhqpEbetY5q50Z2kRlz5aYYe2zwMawy2vx2NOy/8m2L9/5rH/nnIYqJaj80Lhm0dnT74RUqNJKlk1g/xMZ+dXubDfce2j4TFUhEjNTp9dm1/QOS1pkbcSB6XIzU6tT+4VoTt/c1GLCSJWlvZkWZNDXNP17UvdIePsKiOGrESvucEfx51kmRR/SZNLqPWSerUFzsxD//8SvMzwFZqsKWr7Z2C8yAAAQhAAALNJFBrqaEpNQ96cYv86TnmN37mYSzL6u5xL99RZYYXbjP/j1pwMLhDhe1Df7Dd4d9m2syNDr7oBYd6B8uKe4COeqDNg2vUxzVqh4XgCAzDN2onCi3PZvcT2zqySI2oB/fgUPSoLV1tpiKZNVLCeQ0u/upjPoOiKekzmVZqdJoS4Xr6ibYjrs+Zfmd2QorrN+ZzG7V7RPi+YfuiGLxnRe3uod93taZGVPzhhTOz3N/C4kD7gW45akS1rbyIkyBR98uke7qWNfei69rbZJs4ou5Dwf5tPptRu7qYvt1pilLaXKb9vERNc9I6zb0l+LMhD6kR/JmWtONYMx/laDUEIAABCECg2QRqLzWCLxThVEeN4Iha3C3829w0IzW0zqgy436L1ynGNA/95mVp2/Yd7SLNPPOk33KG56vrg7S+JKxdt3HI9qdx5cexyYNr1Ec3vH6BtltfGPUlI2qrxmAZNvPWo/pTXB1xt5ZOLxRhTvpipFtehn/zm7YvRC0eGBZewTVGTH8pO59xn5/wZzLtS1rwJdDkybw05iE1TB1R67jY9jstw2yNGY452NfSSI0oDnF9LuuaGsHYwvHb7BCTNAIh/DmzkX+2siPufpl0T7e9D0V9vqIWaraZnpgml3pu+F4fNWrJsDXt1fuC+ZkS/LkSzEFeUkPrCN/Hwus/xd1z+ToEIAABCEAAAvUm0AipUe8U0joIQAACEIAABCAAAQhAAAIQgEAzCSA1mpl3Wg0BCEAAAhCAAAQgAAEIQAACEKg8AaRG5VNIAyAAAQhAAAIQgAAEIAABCEAAAs0kgNRoZt5pNQQgAAEIQAACEIAABCAAAQhAoPIEkBqVTyENgAAEIAABCEAAAhCAAAQgAAEINJMAUqOZeafVEIAABCAAAQhAAAIQgAAEIACByhNAalQ+hTQAAhCAAAQgAAEIQAACEIAABCDQTAJIjWbmnVZDAAIQgAAEIAABCEAAAhCAAAQqTwCpUfkU0gAIQAACEIAABCAAAQhAAAIQgEAzCSA1mpl3Wg0BCEAAAhCAAAQgAAEIQAACEKg8AaRG5VNIAyAAAQhAAAIQgAAEIAABCEAAAs0kgNRoZt5pNQQgAAEIQAACEIAABCAAAQhAoPIEkBqVTyENgAAEIAABCEAAAhCAAAQgAAEINJMAUqOZeafVEIAABCAAAQhAAAIQgAAEIACByhNAalQ+hTQAAhCAAAQgAAEIQAACEIAABCDQTAJIjWbmnVZDAAIQgAAEIAABCEAAAhCAAAQqTwCpUfkU0gAIQAACEIAABCAAAQhAAAIQgEAzCSA1mpl3Wg0BCEAAAhCAAAQgAAEIQAACEKg8AaRG5VNIAyAAAQhAAAIQgAAEIAABCEAAAs0kgNRoZt5pNQQgAAEIQAACEIAABCAAAQhAoPIEkBqVTyENgAAEIAABCEAAAhCAAAQgAAEINJMAUqOZeafVEIAABCAAAQhAAAIQgAAEIACByhNAalQ+hTQAAhCAAAQgAAEIQAACEIAABCDQTAJIjWbmnVZDAAIQgAAEIAABCEAAAhCAAAQqTwCpUfkU0gAIQAACEIAABCAAAQhAAAIQgEAzCSA1mpl3Wg0BCEAAAhCAAAQgAAEIQAACEKg8AaRG5VNIAyAAAQhAAAIQgAAEIAABCEAAAs0kgNRoZt5pNQQgAAEIQAACEIAABCAAAQhAoPIEkBoOUvjmH95zUApFQKA8AoeP7Jfenh7ZuXtPeUFQMwQcEDjskH7p7+uRHbvoyw5wUkSJBA4d0SfDh/XJO+9+WGIUVA2B7gmMHN4nh7T68x//k77cPU1KKJPAiGG9cvjIYfKHnR/I2GNGlhkKdYcIIDUcdAmkhgOIFFEqAaRGqfip3CEBpIZDmBRVKgGkRqn4qdwhAaSGQ5gUVSoBpEap+DtWjtRwkBukhgOIFFEqAaRGqfip3CEBpIZDmBRVKgGkRqn4qdwhAaSGQ5gUVSoBpEap+JEaeeNHauRNmPLzJoDUyJsw5RdFAKlRFGnqyZsAUiNvwpRfFAGkRlGkqSdvAkiNvAlnL5+RGtnZDV6J1HAAkSJKJYDUKBU/lTskgNRwCJOiSiWA1CgVP5U7JIDUcAiTokolgNQoFX/HypEaDnKD1HAAkSJKJYDUKBU/lTskgNRwCJOiSiWA1CgVP5U7JIDUcAiTokolgNQoFT9SI2/8SI28CVN+3gSQGnkTpvyiCCA1iiJNPXkTQGrkTZjyiyKA1CiKNPXkTQCpkTfh7OUzUiM7u8ErkRoOIFJEqQSQGqXip3KHBJAaDmFSVKkEkBql4qdyhwSQGg5hUlSpBHyRGpM/d4nccPUCuXDerFJ5dFv5/IXLZOxxx8iKZYu6LUqQGl0jFKmb1NjxwTvy7//5huz8YIfs/LD1p/X/Hfrv1t/6f/23Hu3/f/Rvg3HHR+cnYdXrtB4OCEAAAhCAAAQgAAEIQAACVSKwf+n+3MJdvHSlrF23cUj5s2eePvjyX5bUeODRp+Wm21bLE/ffLOPHHdt1+5EaXSN0W0BVpcambb+SDVueawmM12XT1l+JCol/3/k6ssFt96A0CEAAAhCAAAQgAAEIQKBGBPKSGiosRh89StY9cvsQWioAvv7Vc2Xa1FOkLKnhOn1IDddEuyyvKlJDBcZTr/2oLTB+vuXZ2FaPGnGkHDFilBz/iQntv49o/X+U/j18VPua44+Y0P5bv26+Zgprn//ReZ2w6nlaD4cfBJh+4kceiJLdUUgAACAASURBVKJ7Akw/6Z4hJfhBgOknfuSBKLonwPST7hlSQjEEdu0fkN3798VWtrdfZN/wHtm5a4/M+uTRzoPSERq/fPnfDhIa4YqM1Ljzvsdk2/YDI+gvmT9HllxxwZBT9TxzhEWJEQpvvvUH+fVvXmufdvKJJ8iaVUtl5rlXDZYbHCGy/oWXZeG1tx40UiNYj5ZjRnIEyzFxbHrm3sGYkBrOu1B3BfosNVRkPPTq91sjMp6V37VGYQSPyWOmtMTFeJk8+tOi//6T1r/1D7Khu/5QxauRGlXMGjFHEUBq0C/qQgCpUZdM0g6kRn36QNxL/26VARI9HWO37GuJgoGDIOxqyYOor+uJeo1+P+po19VBPGzdvycWuF6nbXBx/POEKS6KGfpu1pIQUXIiXJGRCEYeGNmw6pZr2iM59AiP5lBhogJDpYUeKhRUZphr3tjytsy96Lr290y55mvmnLDUMN8PxqxTVPTQ9T5UagRHnGidegRjYE0N590oe4E+So2HWyLj7pe+1xqV8dJgw1RcfHbcdDn7hC/KpNGnIC+yp7x2VyI1apfSxjYIqdHY1Neu4UiN2qW0sQ1CanROfZQo2LZ/70EXRcmBODGwNeL6bfuiX/ajJIDLl/8qdfzDevrksJ7etp7paf0xmsb8+/DePvlEX7/s3btPvvcnn3LatLBA6FR41PQTFQhfu/hLbZmw/I4HWwJj25AFOE35RlhEjZLQMr7wl2cOGfERLDcsNbSejS/+ZlBSJAExa3KY0RqM1EgiVvD3fZIauk7GV38yf3BUhk4VOXPcDLlm6vXtURgcEIgigNSgX9SFAFKjLpmkHUgN+kBdCPgoNbaGXvDDEiEsEKLkQVgcREmDsDCouizQl/5DWy/9wRd+7aeH9fbLofv1qwcfev6hrevCh8qDQ6U35pqWXNBaegJl7m8phtb/tay467Sw0T2tOSIxh8aibch65Ln7iQupYYSEGYUR1U4z6iKN1DDlhqWGjZQIT03RmJAaWXtgztf5IDV0J5EV//ItufvFle3WqsxQkXHeSV/OufUUXwcCSI06ZJE2tB+sDumX/r4e2dGa78oBgSoTQGpUOXvEHiTQSWoERymEpzCExUJQRISnJ4SFwq7QlIewxPApQ4e3XrJHtl629TCyYEzPsINCjJIDcWJgTG/repUA7UIPiIHREWUe+PrBEqDbl3+f+LqMJU+poXHaLgAaN1IjKDWSpnXkLTWMAAlPTdHdU5AaLnulw7LKlhq6/erf/PDswdEZKjO+0frDAQFbAkgNW1Kc5zsBpIbvGSI+WwJIDVtSnJcHgSGyoS0IPl7fYFtgzYKgLAiOXAhKht7eHtERC/v2HXjJ9kEw6Eu/EQj6d/iFPywQouTBGJUBZiRBSyCM7h1+UCrCwgBZkEdvLa7MvKWGioa3tm6PXChUJYEecbufBKeO6LSQx3+6oeOCoy6kRnidjmAmomJg+klxfTVTTWVKDZ1uct4P57S3YdXRGT845ymmmWTKYrMvQmo0O/91aj1So07ZbHZbkBrNzr9t640gODCq4YB4CI5wiJIO4YUWzRSJMqZGmOkMGnd4CkNYLLQlwkeHTkFQ0dA+IoRC+9rA1Ib2yAUOCHRJIG+pYaaghHcqUUFw75onBxf1TBqpYcoJ7lyiTVeRsfz//JqMH3ds+9/h0Rxxa2rETT8x9dxw9YL2Wh56mIVC9d/BURn6f7MbCiM1uuyIeV1eltTQxUCXPndtW2icP3GB3DjtZhb/zCvJNS8XqVHzBDeoeUiNBiW75k1FatQvwcHRD2YNhygBEZxaERzxYORDESMdgmsnjFSBEBAEowOCICgagiMXgiMf9EXwT0aMGJwWiGCoX99uSovylhqGY9SaGGaBTz0nSWqYcsLrWZgtW43g6FZqaDnBXVNMvSZWHcmxdt3Gwe6hU1FUziA1PP3ElCE1dKtWnXKiB9NNPO0YFQoLqVGhZBFqRwJIDTpIXQggNfzJpJERwdEQZgpGcKSEWUzSjJgoQkIYQdAeufCReAiOcBgiHT6SEeGFFs0UibymRvi4UKg/vYtIqkSgKKlRJSa+xNqzv3X4EkxV4yhaaugaGrMfPKM9QgOhUdVe41fcSA2/8kE02QkgNbKz40q/CCA13OQjTkgEd7PQtSCCUzLylBFGQgQXgjQjH4yAGJxaEZpWkbd8cEP84FKQGnmRpdyiCSA1iiZuXx9Sw5KVWcHVDJcJXlak1FCRcfaaM9uLguqUkxWzVlm2gNMgEE8AqUHvqAsBpEZdMkk7kBof9wEjJsyUjfAoiSgp4XJ9CLM7RXA0xEEiojVK4rBe3e7y4+0mqyohXH/6kBquiVJeWQSQGmWRT64XqZHAKDxPqGypceP6a9vbtk4eM0UenvcEa2gk93HOsCCA1LCAxCmVIIDUqESaCNKCQB2lhk7VMFM4zFoSZvpGnmLik61pF8F1IVRIBHezMNtfmt0rzCKTrP1g0VEtTkFqWEDilEoQQGr4myakhmVuwlvQBC8raqSGWUdj1IgjZe0Fz7PLiWXuOC2ZAFIjmRFnVIMAUqMaeSLKZAK+Sw2VEcGRE4PrSbR24dB/mwUudSpHt6MmzKKVZspGeJSEyofwCIm81odIzhxnhAkgNegTdSGA1PA3k0gNy9yULTWC006WTV8ul0650jJyToNAMgGkRjIjzqgGAaRGNfJElMkEipQaOr1DBYXKh+AICrMLR1BQdLPzhpEPuqClWczSrCOhfx/a2/rz0WKXOnUDMZHcT6pwBlKjClkiRhsCSA0bSuWcg9Sw5N5Jamz/zw8tS8l+2i0bbpKbN/xfMu34mfLfzlubvSCuhEAEgUOG90pvT4/s/mAAPhCoNAF94OjrpS8XkURdZ7yndd/gyIeA9uX+vl7Z9f7eTBX8fuBD0SkdeqiI+P3AntYIigH5vU4BackL/beOqNDzshyf7BvensJhRlHoFA/9t64roV//eEHM/sGvZ6mHa6pPYHh/rwxv9ed338vWl6tPgBbUhcCwvh45ZHif/GerLx/9ieF1aVYt2oHUsExjJ6nx/of5vgi+seN1+V//8TR55/13ZO1FT8v08TMto+Y0CNgR0AdnPfYO7LO7gLMg4CkB7cv6nr1nL3057xQNDOyXvtYDHkc+BFTO9bb+BPvy23s/bEuJd1sy4u2WjNi1b6D1d0tWtP5+tyUpBv/d+n+a43AVEa0/x/YNE10U0/xb/z68NXLi2P4DD+8qLsy/05TPuc0mENWXm02E1leVgN6T9Tnjwz0DbbnB4Q8BpIZlLsqcfrL46YXy0ObV7HZimStOS0+A6SfpmXGFnwSYfuJnXogqnkB76kd7Ac39rSkge9qjKnTax3bZK++1/t4xcOD7el6aQ0dKBNegaE/vUGHRGkUxukfXoGhNAWkJCxbDTEOVc7MQYPpJFmpc4yMBpp/4mJUDMSE1LHNTltRgcVDLBHFaVwSQGl3h42KPCCA1PEpGw0MJrlMRlBVtadEaaaELaKZdn8KIiuB6FCoq2mtVtAQF61A0vNN52nykhqeJIazUBJAaqZEVdgFSIwF1eEtXPf2S+XNkyRUXDF6Z5+4nZgvXa6ZeL99o/eGAQB4EkBp5UKXMMgggNcqg3rw6zc4fOqLigKQYaK9f0R5R0fpampEVug7FmNb6FIfu7xHd1cOMqPiTESNkVH+/7Ht/X1tW6HkcEKgiAaRGFbNGzFEEmi41Zp57lWzbvkM2PXOvdx0EqeEgJXlJDd3x5Mz7Jon+/T/+66ts4eogVxQRTQCpQc+oCwGkRl0yWV47dITFG/s+bE8BOSAvPpoSknJ0hUoIlRS600dQVgRHVXSa+lHk7ifl0abmJhBAajQhy81oY5OlxvoXXpbv/sMj7UTPmztNLpw3y6ukIzUcpCMvqfGdF74pt7b+fHbcDHn4nCcdREoREEBq0AfqTQCpUe/8dtu6qPUrzAiLNNNBVFhM6B3RXpfCSAr926xV4WJkBVKj22xzvS8EkBq+ZII4uiXQZKmx/I4HB/FtfPE3smbV0m5xOr0eqeEAZx5SIzhK4wfnPCVnjpvuIFKKgABSgz5QbwJIjXrnN6l1Zh2Lba2pIOFRFq/v+8Bqsc0oYTGh75DBNSuKWlgTqZGUbb5fFQJIjapkijiTCBQlNTa8tzMpFOff729tHfcXh3witlyderL6u3/X/v7ci66TJ+6/WcaPO9Z5HFkLRGpkJRe4Lg+pYRYIZZSGgwRRRCIBpp8kIuKEihBAalQkURnDDC6+qZLCTA0ZXM/CYoeQP+0fOWT9iuAICx194cuB1PAlE8TRLQGkRrcEud4XAkVIjV2tqY5feOPlwpusW3v/6PiTI+s1U0/M6Iz5C5d5NwUFqeGgy+QhNc774Rz5+ZZnZdn05XLplCsdREkREIgngNSgd9SFAFKj+pk0i3AaYaHyQncLsRlpEVzHYkLfiPZ0EDM9ZHzv8EottonUqH5fpgUHCCA16Al1IVCE1Hi/9fPu77e+Xjiykb298n+MnhBZ7+KlK2Xqn08cXEdDdwV99In1Xk1BQWo46DKupYZOPZl099h2ZK9c9qaMGnGkgygpAgJIDfpA/QkgNaqR46CoUHnx+kBrakhrYc7XB95PbIBOBdHFN6suLZIaitRIIsT3q0IAqVGVTBFnEoEipEZSDGV8f/LnLoms1qcpKEgNBz3DtdS456XvydLnlrBAqIPcUIQdAUZq2HHiLP8JIDX8yVFWcRFc00Kng5SxnoUPFJEaPmSBGFwQQGq4oEgZPhBootTQqSfXf/seWffI7UNSoFNQTj/1RFlyxQU+pEaQGg7S4FpqmKknt511l5x30pcdREgREOhMAKlBD6kLAaRGsZnMKi6iRlvojiE+rWlRLMmDa0NqlJ0B6ndFAKnhiiTllE2giVJD5cXY446RFcsWDcGvU1DuvO+xg2RHWTlCajgg71JqmKknOuVkw8WvMPXEQX4oIpkAUiOZEWdUgwBSw32edHHON/Z9KLs/mh6iIkMX5kyaKjJEXEhLWOgOIq0tUBEXdjlCathx4iz/CSA1/M8REdoRaKLUsCNT/llIDQc5cCk1mHriICEUkZoAUiM1Mi7wlABSI3tijLwwu4roOhdJi3OaqSJmfQsVFoiL7DkIXonUcMORUsongNQoPwdE4IYAUsMNxzxKQWo4oOpSarDriYOEUERqAkiN1Mi4wFMCSI3kxASnjGwe2G21s4iOshjz0fQQs8ZF1XYTSSbj1xlIDb/yQTTZCSA1srPjSr8IIDX8ykcwGqSGg9y4kho69eTM+yaJ/s2uJw4SQxHWBJAa1qg40XMCSI2PE7StNUVEt0dViWEjLw7v6ZPx7YU5D2yFyqiLcjs7UqNc/tTujgBSwx1LSiqXAFKjXP6dakdqOMiNK6mxYctz8jc/PJtdTxzkhCLSEUBqpOPF2f4SaKLUSDttJGrKCKMu/OvTSA3/ckJE2QggNbJx4yr/CCA1/MuJiah0qTHz3Ktk2/YdkYQ2PXOvv+QCkbmSGjeuv1bufnGlXDP1evlG6w8HBIoigNQoijT15E2g7lLjwHoXe9sjL5LWvEBe5N3b8i0fqZEvX0ovjgBSozjW1JQvAaRGvny7Kb1UqRG3RUw3DSrjWldS44z7Jsrvdr4uPzjnKTlz3PQymkKdDSWA1Gho4mvY7LpIjeDoCxUYnXYbQV7UsCO3moTUqGdem9gqpEYTs17PNiM1/M1rqVJj8ucukVW3XCPTpp7iLyGLyFxIjeBWrrqeBgcEiiSA1CiSNnXlSaCKUsOMvtAtUjcPvNcSGHvaa2FEHeEFO0d/tHhnnkwpuxwCSI1yuFOrewJIDfdMKbEcAkiNcrjb1IrUsKGUcI4LqfHwq9+Xq392OetpOMgHRaQngNRIz4wr/CTgu9RQcbFNBhKnjzD6ws/+VWRUSI0iaVNXngSQGnnSpewiCSA1iqSdrq5SpYZOP5k3d5pcOG9Wuqg9O9uF1DDraSybvlwunXKlZy0knLoTQGrUPcPNaZ9PUkNHYLzR+qN/6/oXr7SmkUQdRmBM7BvZ2nnkkNbOI/3tnUc4mk0AqdHs/Nep9UiNOmWz2W1Bavib/1KlxvoXXpbrv32PrHvkdn8JWUTmQmqwnoYFaE7JjQBSIze0FFwwgbKkRngBzziB8af9I2W09LWlxcS+Q1tbqA4XlRocEAgTQGrQJ+pCAKlRl0zSjqZKjaiNPXxbQqJUqaFranQ6mrL7CetpcJMsmwBSo+wMUL8rAkVIDd19RCVG0g4kZv2Lib0HRmAgMFxluRnlIDWakecmtBKp0YQsN6ONTZYaX/jLM2XJFRe0E738jgfl8Z9u8GpgQqlSoy7dv9uRGqynUZeeUN12IDWqmzsiH0rAtdQwu5C0BUZbZLwn+rXwMaZ32ODoCx2FgcCgZ3ZLAKnRLUGu94UAUsOXTBBHtwSQGgekhs62WHjtreLTAITSpYaBEuxkvg1nSfoAdCs1WE8jiTDfz5sAUiNvwpRfFIFupYZZB+OVlrw4sBbG+weFHlwDgykkRWW2efUgNZqX87q2GKlR18w2r11FSY3H/5/HC4c7rG+YnP0/nx1Zr04/CY7UWLx0Zfu8FcsWFR5nXIWlSo0HHn1abrpttTxx/80yftyx7Rjf2PK2zL3oOrnh6gWVWUC0W6kxe82ZsmnrS/KDc56SM8dN96ZzEEhzCCA1mpPrurc0jdQIjsLQERgqMaJGYUxqrX0xoe/AGhgs4ln3HuRP+5Aa/uSCSLojgNTojh9X+0OgCKmx44MdcuS3jyy80UcecqT88bo/xkqNbdt3DPne7JmnIzUMEbU+X7v4SwfJC5Udd973mFfzdDr1rG6lxqS7x4quq/HKZW/KqBHFd+LCPzVU6B0BpIZ3KSGgjAQ6SQ2bURjhaSS6IwkHBMoggNQogzp15kEAqZEHVcosg0ARUmP3nt1ywQ8OTPMo8jhs+GHywF8/ECs1giM19CTdxXTsccd4IzZKHamhC4VGTTXxcZ5OXlJj07ZfyewHz5Djj5ggz1+8uci+S10QGCSA1KAz1IVAUGqY0RdmPYyt+/Yc1MzgKAxdC0NHYnBAwAcCSA0fskAMLgggNVxQpAwfCBQhNXxoZziG8PQT/b4uFrrxxd/ImlVLvQi5VKnBSA2Re176nix9bomcP3GBrJi1yotOQRDNI4DUaF7O69ZiM5Xk/+15Xzbt3S2/3fP+QVNJGIVRt6zXuz1IjXrnt0mtQ2o0Kdv1bitS4+MRJFGio8zslyo1WFNDZPHTC+Whzatl2fTlcumUK8vsC9TdYAJIjQYnv6JNNxLjFwPvthbz/EBeae1OEj7+tH+kjO8ZLpNaU0jGt0Zh6EgMDghUhQBSoyqZIs4kAkiNJEJ8vyoEmiw1WFMjoZc2ffcTs0jow+c8KZ8dN6Mqn2nirBkBpEbNElrD5qjEeHXf+60tVVtbq8ZIjAl9h8inW3NCp4w4TMbvGSa6SwkHBKpKAKlR1cwRd5gAUoM+URcCTZUaVchfqSM1qgDIJsasC4Xu/HCHTLzrf2pXwSKhNqQ5Jy8CSI28yFJuVgLBkRjt7VUjtlY162Gc1nd4ayTG8LbESLP7SdbYuA4CRRBAahRBmTqKIIDUKIIydRRBAKlRBOVsdSA1snEbclVWqWEWCZ08Zoqsnb/BQSQUAYFsBJAa2bhxlVsCurBnp+kkKjF0NxLdWtVIjHAESA23OaG08gggNcpjT81uCSA13PKktPIIIDXKY59UM1IjiZDF97NKDRYJtYDLKYUQQGoUgplKQgTM7iS/2Ptu5JoYwZEYtlurIjXoZnUhgNSoSyZpB1KDPlAXAkgNfzNZitTQrVxvuHqB3HTb6o5kNj1zr7/kApFllRo3rr9W7n5xJYuEViLL9Q4SqVHv/PrSum3797bXxNjYkhgqNHSKSfDQNTF0Uc/gdJK0sSM10hLjfF8JIDV8zQxxpSWA1EhLjPN9JYDU8DUzIqVIDX9xZIssq9Q474dz5OdbnpV//PxDcvYJX8hWOVdBwAEBpIYDiBRxEAGzuOcBibFbtu7bM+Qc3WJVp5Kc3n+4nNR7iJOFPZEadMS6EEBq1CWTtAOpQR+oCwGkhr+ZLFVq6IiNVbdcI9OmnjKEkG71eud9j8m6R273l1wgsqxSY9LdY2XHB+/I8xdvluOPmFCJthJkPQkgNeqZ1zJapSMwVGDo3+FtVlVi6LaqKjFUZozu6XceIlLDOVIKLIkAUqMk8FTrnABSwzlSCiyJAFKjJPAW1XopNcw2r3WefqIyQ6XGqBFHtnc+4YBAmQSQGmXSr3bdSVNKdF2M09oSY2RbaOR9IDXyJkz5RRFAahRFmnryJoDUyJsw5RdFAKlRFOn09XgpNZbf8aA8/tMNtR6p8dRrj8tXfny+sPNJ+k7LFe4JIDXcM61ziWaXkqitVs2Ukhn9R8TuUJInG6RGnnQpu0gCSI0iaVNXngSQGnnSpewiCSA1iqSdrq7CpYYZhZEUZtS0lKRryvp+luknZueTy05dJDdOu6Ws0KkXAm0CSA06QicCnUZjHNbT1x6FkeeUkjTZQWqkocW5PhNAavicHWJLQwCpkYYW5/pMAKnhb3YKlxpBFHFraviLKzqyLFJj8dML5aHNq9n5pGrJrmm8SI2aJraLZr2+74P2uhhR260Gdymx3Wq1i1BSXYrUSIWLkz0mgNTwODmElooAUiMVLk72mABSw9/klCo1/MWSLrIsUmP2mjNl09aX5AfnPCVnjpuerkLOhoBjAkgNx0ArWpxKjGf37ozcqUTXxpgx7IjcFvh0hQyp4Yok5ZRNAKlRdgao3xUBpIYrkpRTNgGkRtkZiK8fqeEgN1mkhtn5RBcJ1cVCOSBQJgGkRpn0y6u707SS4Harp/UdVl6QKWtGaqQExuneEkBqeJsaAktJAKmREhine0sAqeFtaqRUqfHGlrdl7kXXxdKp6+4nv9v5upxx30R2PvH3c9G4yJAazUm5ioyNe9+NnVZyektg6G4lRexUkgd1pEYeVCmzDAJIjTKoU2ceBJAaeVClzDIIIDXKoG5XZ6lSY+a5V8kX/vJMOfO0yXL9t+8Z3O1k/sJlMm/uNLlw3iy7VpR8VtqRGux8UnLCqP4gAkiNencKXR/juda0kqjdSqoyrcQ2Q0gNW1Kc5zsBpIbvGSI+WwJIDVtSnOc7AaSGvxkqVWqYhULHj/ukLPj6twalhu6QEpQc/uI7EFlaqfHwq9+Xq392uZw/cYGsmLXK9+YRXwMIIDXql+S49TGC00pO6j1EdPeSOh1IjTpls9ltQWo0O/91aj1So07ZbHZbkBr+5t8LqTFt6imigsNMNzHbvtZ1+smN66+Vu19cyc4n/n4uGhcZUqMeKU8SGTP6daHPkfVobEwrkBq1Tm+jGofUaFS6a91YpEat09uoxiE1/E13qVJDp5mcfuqJsuSKCyT47+V3PCiP/3TD4MgNf/FlG6nx1Z/Mlyd/+yO57ay75LyTvux784ivAQSQGtVN8i8Gdg2ukbFr/8BgQ3RExumttTFO6zu89iIjmD2kRnX7MpEPJYDUoEfUhQBSoy6ZpB1IDX/7QKlSI4xFR2uY44n7b5bx4471l1wgsrTTT3SRUF0sdO0Fz8vk0Z+uRBsJst4EkBrVym+cyJjQd4iY0RhVXeiz20wgNbolyPW+EEBq+JIJ4uiWAFKjW4Jc7wsBpIYvmTg4Dq+khr+YOkeWVmqwnWtVM13fuJEa/uc2SWToqIzRPf3+NyTnCJEaOQOm+MIIIDUKQ01FORNAauQMmOILI4DUKAx16opKlRpmoVBdU6PKRxqpYbZzPf6ICfL8xZur3GxirxEBpIafyTRrZPyitQVrcGrJn/aPlOl9n2hPL0FkDM0dUsPPvkxU6QkgNdIz4wo/CSA1/MwLUaUngNRIz6yoK5AaDkinkRps5+oAOEU4J4DUcI40c4Fxi32aqSWIjM5okRqZux4XekYAqeFZQggnMwGkRmZ0XOgZAaSGZwkJhFOq1NDFQefNnSYXzpvlLyGLyNJIjXte+p4sfW4J27lacOWU4gggNYpjHVUTIsMdf6SGO5aUVC4BpEa5/KndHQGkhjuWlFQuAaRGufw71V6q1Hhjy9uy4OvfqswuJ3Eg00gNtnP198PQ5MiQGsVnf9v+vfLknj+2dy7Zum/PYABm15I5w45iakmGtCA1MkDjEi8JIDW8TAtBZSCA1MgAjUu8JIDU8DIt7aBKlRrB3U6iEG165l5/yQUiSyM12M61EiltXJBIjWJSriJj88BueWLPO/L6wPtDRMbEvkNlzrAjpam7lrjKAFLDFUnKKZsAUqPsDFC/KwJIDVckKadsAkiNsjMQX3/pUmPVLddIeKHQBx59Wu6877HKjOBIIzXMdq66SKguFsoBAR8IIDXyy4Iu8PnLgV3y7J6d8kpLaJjjsJ4+Oa210KfZgjW/CJpVMlKjWfmuc2uRGnXObrPahtRoVr7r3Fqkhr/Z9VJqrH/hZVl47a1Sx5EabOfq74ehyZEhNdxnP27nEl3oU/9M7z/CfaWUKEgNOkFdCCA16pJJ2oHUoA/UhQBSw99Meik1lt/xoDz+0w21G6lhtnMdNeJIeeWyN/3tFUTWOAJIDTcp1+kl//ThH9pTTILrZExqTS2ZMewI0SkmbMHqhnVcKUiNfPlSenEEkBrFsaamfAkgNfLlS+nFEUBqFMc6bU2FSw0zCiMp0KhpKUnXlPV92+knm7b9SmY/eIZMHjNF1s7fUFa41AuBgwggNbJ3CrNORnh6iS74qVNLZgwbhcjIjjf1lUiN1Mi4wFMCSA1PE0NYqQkgNVIj4wJPCSA1PE1MK6zCpUYQhS4UWiV5EZdGW6nx8Kvfl6t/djnbufr7eWhsZEiN9Kk300ue3bNj8GIVGToag3Uy0vN0dQVSwxVJyimbAFKj7AxQvysCSA1XJCmnbAJIjbIzeEviwQAAIABJREFUEF9/qVLDXyzpIrOVGve89D1Z+twSuezURXLjtFvSVcLZEMiRAFLDDm7S9BLWybDjmOdZSI086VJ2kQSQGkXSpq48CSA18qRL2UUSQGoUSTtdXUiNdLwiz7aVGjeuv1bufnGlLJu+XC6dcqWDmikCAm4IIDU6c3xu786Ddi/RURl/PfwY1slw0wWdlYLUcIaSgkomgNQoOQFU74wAUsMZSgoqmQBSo+QEdKi+dKkx89yrZNv2j4dvB2Ot2+4nX/3JfHnytz+Sf/z8Q3L2CV/wt1cQWeMIIDUOTvnr+z6QJ/e8I7/Y+67otqx6sA2r/x8NpIb/OSJCOwJIDTtOnOU/AaSG/zkiQjsCSA07TmWcVarUmL9wmYw97hhZsWxRGW13VqftSI0z7psougPK2guel8mjP+2sfgqCQLcEkBoHCJpFP3UHk6jdSz7Td1hbbHD4SwCp4W9uiCwdAaRGOl6c7S8BpIa/uSGydASQGul4FXl2qVKjaQuFTrp7rOz44J32dq66rSsHBHwh0HSp0WnRT51iwjasvvTU5DiQGsmMOKMaBJAa1cgTUSYTQGokM+KMahBAavibJ6SGg9zYjNRQmaFSQ2WGSg0OCPhEoIlSI2lUBot++tRD7WNBatiz4ky/CSA1/M4P0dkTQGrYs+JMvwkgNfzNT6lSQ6efzJs7TS6cN8tfQhaR2UiNTdt+JbMfPEMmj5kia+dvsCiVUyBQHIEmSQ1GZRTXr8qoCalRBnXqzIMAUiMPqpRZBgGkRhnUqTMPAkiNPKi6KbNUqbH+hZfl+m/fI+seud1NayxLWbx0paxdt7F99sknniBrVi2NvVJjXHjtrQd9P7iIqY3UeOq1x+UrPz5f5vzZF+Uf/mqNZaScBoFiCNRdajAqo5h+5EMtSA0fskAMLgggNVxQpAwfCCA1fMgCMbgggNRwQTGfMkqVGrqmRqcjj91PHnj0abnzvscGRYqOFjn91BNlyRUXRIZipEanWGykxj0vfU+WPrdELjt1kdw47ZZ8skmpEMhIoK5SQ2WGLvoZ3MFEt2Kd2HdoeztW1srI2GE8vgyp4XFyCC0VAaRGKlyc7DEBpIbHySG0VASQGqlwFXpyqVKj0JZ+VFlYYoQlRzgmV1LjxvXXyt0vrpRl05fLpVOuLKPp1AmBWAJ1kxrP7d0pz+7ZKa8M7B5s86SWyJgx7AhhrYx6fxCQGvXOb5Nah9RoUrbr3VakRr3z26TWITX8zXbjpMbMc6+Sr138pcF1PJKkRdT0k/CoDZuRGl/9yXx58rc/ktvOukvOO+nL/vYIImskgTpIDTMqY3NLZJjtWBmV0bzujNRoXs7r2mKkRl0z27x2ITWal/O6thip4W9mGyc1dMrLDVcvOEhqPHH/zTJ+3LGJmdKRHnoE1+F4Z9eexOtm3PcX8vLvX5Ln/utGOXnMpxPP5wQIFEngkGG90tPTI+99OFBktU7q2rRnt/zo/e3yPz7YOVjeCf2HyBdHHiP/+4hRTuqgkOoQGNHfK7291ezL1aF8INL9+/ZJT29v1cKuTLzD+3ukv69Xdn9QvftyZSATaCEEhvf1yLDWvXkXfbkQ3lSSH4Fhrb48YlifvPv+XjnysGH5VUTJqQmULjVUEvz6N6+1A191yzUybeopouJh9szTZcWyRakblHRB2pEa4fKiRnbsbnXspGPSnZ+S13f8f/LK1/5NJoz606TT+T4ECiXQ33rY6GnVuGfvvkLrzVrZ7/ftkZc/3CX3v7tV3h74cLCYs0YeJWeNPFJOGXZo1qK5ruIEtC+3nIZ8uKcafbnKuAf27Zc+hc2RCwEVGiroPtyD1MgFMIUWRqCv1Zf7Wi+DH1bwFyeFQaKiShDQe7IKug9affnQQ/orEXNTgixVaqjQGHvcMW15obLhm397aVtqJK1z0U1y0q6pYSM1bKafjFt54CVry6KP5/h30w6uhYBLAlWZfhK38Kcu+qmLf7Lwp8teUc2ymH5SzbwR9cEEmH5Cr6gLAaaf1CWTtIPpJ/72gVKlho7IMNM+glIjaZ2LbnAm7X6y/I4H5d41T4pZN0O3f118+XmDU1M0zs+c8qkho0iSpMbvdr4uZ9w3UY4/YoI8f/HmbsLnWgjkQsB3qfGLgV3y5Id/ZOHPXLJfr0KRGvXKZ5Nbg9Rocvbr1XakRr3y2eTWIDX8zX6pUkMFwerv/l1bGBQ1UkNToaJi7bqN7aycfOIJQ9bHCEsN83+TwvD5+vUkqbFp269k9oNnyOQxU2Tt/A3+9gYiaywBH6XGrv0D8suWzNAtWc3Cn5qgGcNGsR1rY3tqcsORGsmMOKMaBJAa1cgTUSYTQGokM+KMahBAavibp1KlhgqDx3+6QdY9cvug1Bg/7pMy96Lr5JL5c2TJFRf4Sy4QWZLUeOq1x+UrPz5f5vzZF+Uf/mpNJdpEkM0i4JPUiNvFhCkmzeqTWVuL1MhKjut8I4DU8C0jxJOVAFIjKzmu840AUsO3jHwcT6lSQ8OI2jI1uDuJv+g+jixJatzz0vdk6XNL5PyJC2TFrFVVaBIxNoyAD1Jj88B78uzenfLsnh2D9Ce11smYMewImd5/RMMyQnOzEkBqZCXHdb4RQGr4lhHiyUoAqZGVHNf5RgCp4VtGPJIa/qKxjyxJanznhW/Kra0/10y9Xr7R+sMBAd8IlCk1nmuJDKaY+NYjqhsPUqO6uSPyoQSQGvSIuhBAatQlk7QDqeFvHyh1pIZZ28Isymkw5bmlax6pSJIai59eKA9tXi23nXWXnHfSl/MIgTIh0BWBoqWGTjHZPLB7iMwY0ztMZrRGZOiaGexi0lU6G30xUqPR6a9V45EatUpnoxuD1Gh0+mvVeKSGv+ksVWro4qBfu/hLcuG8WUMI5bmlax6pSJIa5/1wjvx8y7Pyj59/SM4+4Qt5hECZEOiKQFFSw6yXEZxiojJD18tgiklXKeTijwggNegKdSGA1KhLJmkHUoM+UBcCSA1/M1mq1NARGatuuUamTT1lCKE8t3TNIxVJUkO3c9VtXXU7V93WlQMCvhHIW2pErZdxev/hMmfYUTKxb6RvOIinwgSQGhVOHqEPIYDUoEPUhQBSoy6ZpB1IDX/7QKlSoykjNSbdPVZ2fPCOvHLZmzJqxJH+9gYiayyBvKSGrpfxxJ535PWB9wfZsiVrY7tZIQ1HahSCmUoKIIDUKAAyVRRCAKlRCGYqKYAAUqMAyBmrKFVq6DSTm25bLU/cf7OMH3dsuwlvbHm7vaVrlXZA6TRSQ2WGSg2VGSo1OCDgIwGXUmPX/gH55cAu1svwMdENiAmp0YAkN6SJSI2GJLoBzURqNCDJDWkiUsPfRJcqNRRL1JauUVNS/EUo0klq6LQTnX6i0050+gkHBHwk4EJqmPUydAHQrfv2tJvJehk+ZrveMSE16p3fJrUOqdGkbNe7rUiNeue3Sa1Davib7dKlhr9o7CPrJDU2bHlO/uaHZ8tnx82Qh8950r5QzoRAgQS6kRpRi39O6ju0tYvJESz+WWAOqeoAAaQGPaEuBJAadckk7UBq0AfqQgCp4W8mkRoOctNJajz86vfl6p9dLudPXCArZq1yUBtFQMA9gSxSI2rxT10vQ7dlZfFP9zmiRDsCSA07TpzlPwGkhv85IkI7AkgNO06c5T8BpIa/OSpdauhiodu274gktOmZe/0lF4isk9T4zgvflFtbfy47dZHcOO2WSrSHIJtHII3U0MU/n92zU15pTTMxB4t/Nq/P+NpipIavmSGutASQGmmJcb6vBJAavmaGuNISQGqkJVbc+aVKjfkLl8nY446RFcsWFdfiHGrqJDVuXH+t3P3iSlk2fblcOuXKHGqnSAh0T8BGaqjM+KcP/zBkvQwdlaFCY3RPf/dBUAIEHBBAajiASBFeEEBqeJEGgnBAAKnhACJFeEEAqeFFGiKDKFVqTP7cJVK1RUGjKHaSGl/9yXx58rc/ktvOukvOO+nL/vYEIms0gTipoetl6MKfYZnx18OPYb2MRvcYfxuP1PA3N0SWjgBSIx0vzvaXAFLD39wQWToCSI10vIo8G6nhgHYnqTF7zZmyaetLsvaC52Xy6E87qI0iIOCeQFhqqMx4cs8fZePed9nJxD1uSsyRAFIjR7gUXSgBpEahuKksRwJIjRzhUnShBJAaheJOVVmpUkOnn8ybO00unDcrVdC+ndxJauh2rrqtq27nqtu6ckDARwJGavx213vtURnP7vl4nRvdyWTO8KPktL7DfAydmCAwhABSgw5RFwJIjbpkknYgNegDdSGA1PA3k6VKjfUvvCzXf/seWffI7f4Ssoisk9QYt/LQdglbFn28qKJFkZwCgUIJ7B6xX9bs3iY/e++Pg/Wyk0mhKaAyRwSQGo5AUkzpBJAapaeAABwRQGo4AkkxpRNAapSegtgASpUauqZGp6Pqu5/oCA0dqaEjNHSkBgcEfCMQty2rrpnB4p++ZYt4bAggNWwocU4VCCA1qpAlYrQhgNSwocQ5VSCA1PA3S6VKDX+xpIssbqTGpm2/ktkPniGTx0yRtfM3pCuUsyGQI4GobVnPGnmUfLH3KGRGjtwpOn8CSI38GVNDMQSQGsVwppb8CSA18mdMDcUQQGoUwzlLLaVLDZ2CsvDaW4fEXrUdUeKkxlOvPS5f+fH5MufPvij/8FdrsuSHayDglEDctqxzPnG0HNc3XHbu3uO0PgqDQNEEkBpFE6e+vAggNfIiS7lFE0BqFE2c+vIigNTIi2z35ZYqNR549Gm56bbV8sT9N8v4cce2W/PGlrdl7kXXyQ1XL6jMAqJxUuPhV78vV//scjl/4gJZMWtV99miBAhkJBAlM3SKyWdai38e1tMncVu6ZqyOyyBQGgGkRmnoqdgxAaSGY6AUVxoBpEZp6KnYMQGkhmOgDosrVWrMPPcq+drFXzpIXqjsuPO+xyqzgGic1PjOC9+UW1t/rpl6vXyj9YcDAkUS2LV/QH45sKu9m8nWfQdGYIzpHSYqM6b3HzEkFKRGkZmhrjwJIDXypEvZRRJAahRJm7ryJIDUyJMuZRdJAKlRJO10dZUqNXSh0KipJmZKStUXCl389EJ5aPNqWTZ9uVw65cp0meFsCGQksG3/3vaWrM/u3ZkoM0wVSI2MsLnMOwJIDe9SQkAZCSA1MoLjMu8IIDW8SwkBZSSA1MgIroDLSpUadR+p8dWfzJcnf/sjue2su+S8k75cQDqposkEVGboqAwVGuaY1HeozBl+lJzWmmbS6UBqNLnn1KvtSI165bPJrUFqNDn79Wo7UqNe+Wxya5Aa/ma/VKlR9zU1Zq85UzZtfUnWXvC8TB79aX97AZFVmkCUzDi9/3CZM+womdg30qptSA0rTJxUAQJIjQokiRCtCCA1rDBxUgUIIDUqkCRCtCKA1LDCVMpJpUoNbXGddz85476J8rudr8vzF2+W44+YUEqCqbS+BKJkxoxho9prZozu6U/VcKRGKlyc7DEBpIbHySG0VASQGqlwcbLHBJAaHieH0FIRQGqkwlXoyaVLjUJbm1NlcQuFjlt5aLvGLYt251QzxTaRwOaB99rrZQSnmWSVGYYfUqOJPamebUZq1DOvTWwVUqOJWa9nm5Ea9cxrE1uF1PA360gNB7mJkho7PnhHJt09VkaNOFJeuexNB7VQRNMJqMx4pLVmxisDH0uybmUGUqPpvap+7Udq1C+nTW0RUqOpma9fu5Ea9ctpU1uE1PA386VIDbOWxg1XL4jczvWm21ZL1Pd8xRglNXTaiU4/0WknOv2EAwJZCTzXGpUR3pZ1RmtLVhUaaaeZxMXASI2s2eE63wggNXzLCPFkJYDUyEqO63wjgNTwLSPEk5UAUiMrufyvK0VqzF+4TMYed4ysWLYosoWLl66UN9/6g6xZtTR/Ag5qiJIaT732uHzlx+fLZ8fNkIfPedJBLRTRNAJRMkPXy5jY2tHElcwwTJEaTetd9W0vUqO+uW1ay5AaTct4fduL1KhvbpvWMqSGvxkvRWpM/twlsuqWa2Ta1FMiyZjFQzc9c6+/5AKRRUmNh1/9vlz9s8vl/IkLZMWsVZVoB0H6QSBOZkxvjc7I60Bq5EWWcosmgNQomjj15UUAqZEXWcotmgBSo2ji1JcXAaRGXmS7Lxep0T1DiZIa97z0PVn63BK57NRFcuO0WxzUQhF1JqA7mejCn7oA6NZ9e9pNHdM7rL2TSZ4ywzBFatS5dzWrbUiNZuW7zq1FatQ5u81qG1KjWfmuc2uRGv5mtxSpMfPcq+Sbf3tpx5Ea13/7Hln3yO3+kgtEFiU1blx/rdz94kpZNn25XDrlykq0gyCLJ2C2Zd3cWvzTyIwJfYfI3GFHFiIzkBrF55wa8yWA1MiXL6UXRwCpURxrasqXAFIjX76UXhwBpEZxrNPWVIrUWH7Hg7Lxxd/ErpmRtOZG2kbmfX6U1Fj89EJ5aPNque2su+S8k76cdwiUXzECRmYEt2Wd1For49z2mhkjC28NIzUKR06FORFAauQElmILJ4DUKBw5FeZEAKmRE1iKLZwAUqNw5NYVliI1NDodraFHeDSGfn3b9h1SlfU0tA1RUuO8H86Rn295Vn5wzlNy5rjp1gnhxHoTiJIZrrZl7YYcUqMbelzrEwGkhk/ZIJZuCCA1uqHHtT4RQGr4lA1i6YYAUqMbevleW5rU0GbpiI171wzdGWT2zNNjd0XJF0X20qOkhm7nqtu66nauuq0rR7MJbB54Tx758A/ySmuaiTl8kBkmFqRGs/tnnVqP1KhTNpvdFqRGs/Nfp9YjNeqUzWa3Banhb/5LlRr+YkkXWZTUmHT3WNnxwTvyymVvyqgRR6YrkLNrQyBqJxPdklUXAHW9LWs30JAa3dDjWp8IIDV8ygaxdEMAqdENPa71iQBSw6dsEEs3BJAa3dDL91qkhgO+YamhMkOlhsoMlRoczSMQJTPmDDtKTu8/3CuZYTKD1GheH61ri5Eadc1s89qF1GhezuvaYqRGXTPbvHYhNfzNOVLDQW7CUkOnnej0E512otNPOJpBoOxtWbuhjNTohh7X+kQAqeFTNoilGwJIjW7oca1PBJAaPmWDWLohgNTohl6+1yI1HPANS42nXntcvvLj8+Wz42bIw+cMXTPEQXUU4RmBqMU/y9iWtRssSI1u6HGtTwSQGj5lg1i6IYDU6IYe1/pEAKnhUzaIpRsCSI1u6OV7LVLDAd+w1Hj41e/L1T+7XM6fuEBWzFrloAaK8JGALv757N6dEtyWVRf/nNF/RCnbsnbDCKnRDT2u9YkAUsOnbBBLNwSQGt3Q41qfCCA1fMoGsXRDAKnRDb18r0VqOOAblhrfeeGbcmvrz2WnLpIbp93ioAaK8ImArpfx7J6d3u5kkoUVUiMLNa7xkQBSw8esEFMWAkiNLNS4xkcCSA0fs0JMWQggNbJQK+YapIYDzmGpsfjphfLQ5tWybPpyuXTKlQ5qoIiyCezaPyC/HNgl/9TalnXrvj3tcMb0Dmsv/KkLgPq0k0kWVkiNLNS4xkcCSA0fs0JMWQggNbJQ4xofCSA1fMwKMWUhgNTIQq2Ya5AaDjiHpcZXfzJfnvztj+S2s+6S8076soMaKKIsAma9jM0Du4fIDN2SdXprmkldDqRGXTJJO5Aa9IG6EEBq1CWTtAOpQR+oCwGkhr+ZRGo4yE1Yasxec6Zs2vqSrL3geZk8+tMOaqCIoglErZcxqe9QmTHsiFrJDMMVqVF0D6O+vAggNfIiS7lFE0BqFE2c+vIigNTIiyzlFk0AqVE0cfv6kBr2rGLPDEsN3c5Vt3XV7Vx1W1eO6hDQ9TKCU0w0cl38U0dmVH2KSacsIDWq00eJtDMBpAY9pC4EkBp1ySTtQGrQB+pCAKnhbyaRGg5yE5Ya41Ye2i51y6LdDkqniLwJxE0x0V1MVGjUWWYYtkiNvHsZ5RdFAKlRFGnqyZsAUiNvwpRfFAGkRlGkqSdvAkiNvAlnLx+pkZ3d4JVBqaEjNHSkho7Q0JEaHP4SiJpiMqHvEJk77MhaTjHplAmkhr/9lMjSEUBqpOPF2f4SQGr4mxsiS0cAqZGOF2f7SwCp4W9ukBoOchOUGpu2/UpmP3iGTB4zRdbO3+CgdIpwSUBHZeiin1FTTHRkxsS+kS6rq0xZSI3KpIpAEwggNegidSGA1KhLJmkHUoM+UBcCSA1/M4nUcJCboNR46rXH5Ss/Pl/m/NkX5R/+ao2D0inCBYGoURm6JauulTGxtQBoE6aYdOKI1HDRyyjDBwJIDR+yQAwuCCA1XFCkDB8IIDV8yAIxuCCA1HBBMZ8ykBoOuAalxsOvfl+u/tnlcv7EBbJi1ioHpVNEVgJxozJ0F5M5w4+S0/oOy1p07a5DatQupY1tEFKjsamvXcORGrVLaWMbhNRobOpr13Ckhr8pRWo4yE1QanznhW/Kra0/10y9Xr7R+sNRPIG4URk6IqPuu5hkpY3UyEqO63wjgNTwLSPEk5UAUiMrOa7zjQBSw7eMEE9WAkiNrOTyvw6p4YBxUGosfnqhPLR5tdx21l1y3klfdlA6RdgQ0FEZG/e+K0/u+aNs3bdn8BIdlTFj2BGNW/jThlnwHKRGWmKc7ysBpIavmSGutASQGmmJcb6vBJAavmaGuNISQGqkJVbc+UgNB6yDUmP2mjNl09aX5B8//5CcfcIXHJROEXEEdu0fkF8O7JJn9+yUV1qLf5pD18po0nasLnoIUsMFRcrwgQBSw4csEIMLAkgNFxQpwwcCSA0fskAMLgggNVxQzKcMpIYDrkGpodu56rauup2rbuvK4Z6AmV7yi9bIDBUb5pgxbFRbZjR1B5NuSCM1uqHHtT4RQGr4lA1i6YYAUqMbelzrEwGkhk/ZIJZuCCA1uqGX77VIDQd8jdTY8cE7MunusTJqxJHyymVvOiiZIgwBIzJ0O9ao6SWfaS36eVhPH8AyEkBqZATHZd4RQGp4lxICykgAqZERHJd5RwCp4V1KCCgjAaRGRnAFXIbUcADZSI1N234lsx88QyaPmSJr529wUHKzi4gTGTq9ZM6wo+T0/sMbvxWrqx6C1HBFknLKJoDUKDsD1O+KAFLDFUnKKZsAUqPsDFC/KwJIDVck3ZeD1HDA1EgNtnPtHmYnkaG7l8wZdqRM6B3RfUWUMIQAUoMOURcCSI26ZJJ2IDXoA3UhgNSoSyZpB1LD3z6A1HCQGyM1zHaul526SG6cdouDkptRxC9ai33qziXhqSU6IkNFButk5N8PkBr5M6aGYgggNYrhTC35E0Bq5M+YGoohgNQohjO15E8AqZE/46w1IDWykgtcZ6QG27nawdTtV1VgqMjQP8FDRYZOKzmt73AW/LTD6eQspIYTjBTiAQGkhgdJIAQnBJAaTjBSiAcEkBoeJIEQnBBAajjBmEshSA0HWI3UMNu5rr3geZk8+tMOSq5PETqt5BcD77a2Xn1PXh94f0jDJrVGY5zWEhm6awlTS8rJOVKjHO7U6p4AUsM9U0oshwBSoxzu1OqeAFLDPVNKLIcAUqMc7ja1IjVsKCWcY6SG7nyiO6Cwnau0RmK81x6NoX+/0vo7eOguJSowdESGTi8Z3dPvIAsU0Q0BpEY39LjWJwJIDZ+yQSzdEEBqdEOPa30igNTwKRvE0g0BpEY39PK9FqnhgK9KjSZv57pr/4C8se/DWImhiHU0xoS+EUwrcdDf8igCqZEHVcosgwBSowzq1JkHAaRGHlQpswwCSI0yqFNnHgSQGnlQdVMmUsMBR5UaTdrO9fV9H7QkxgcHppK0/g5PJ1GkE/oOaYmMke2RGCf1HiI6OoPDXwJIDX9zQ2TpCCA10vHibH8JIDX8zQ2RpSOA1EjHi7P9JYDU8Dc3SA2L3CxeulLWrtvYPvPkE0+QNauWDrlKpUYdt3M1IzDa4qL1Z9u+PQdNJTEgzEgMJIZFh/LwFKSGh0khpEwEkBqZsHGRhwSQGh4mhZAyEUBqZMLGRR4SQGp4mJSPQkJqJOTmgUefljvve0zWPXJ7+8z5C5fJ6aeeKEuuuGDwSpUa5/1wjvx8y7OybPpyuXTKlf5mPCIyFRa79+87IC7272mNvDggMVRqRB06CmNMax0MFRi6sKeuj8FRbQJIjWrnj+g/JoDUoDfUhQBSoy6ZpB1IDfpAXQggNfzNJFIjITdhiRGWHHr5P/1qrfzND8+WUSOOlA0Xv9L+25dja2t0hW6hulv2if57d0tUGImxtSUw9Gtxh04ZUWmha2GM7hnW/vf43uFMJfEluQ7jQGo4hElRpRJAapSKn8odEkBqOIRJUaUSQGqUip/KHRJAajiE6bgopEYC0JnnXiVfu/hLcuG8We0z17/wsiy89lbZ9My9g1fOf+hieWjzarlm6vXyjdafLEecXFAhETx0JIU5zDVbPzpHp4foobJCR17EjbQIx6cjLw6T3gPyQvrb62Ec2tP6f0ticDSDAFKjGXluQiuRGk3IcjPaiNRoRp6b0EqkRhOy3Iw2IjX8zTNSIyE3kz93idxw9YKDpMYT998s48cdKz3LegZLmPZfnpP+4Z/wKtvH9Q8X/aPH/zJ8pBze29f+v/45tm/Y4Pe8CppgIAABCEAAAhCAAAQgAAEIQAACFgSQGgmQkkZqGKnxyT+bK5Nm/N8WyKNPUdmgf8KHERLm68HzzPfM18z/VVbElZc5QC6EAAQgAAEIQAACEIAABCAAAQh4RgCpkZAQmzU1dKFQDghUmQDTT6qcPWIPEmD6Cf2hLgSYflKXTNIOpp/QB+pCgOkn/mYSqZGQG9vdT/xNMZFBIJkAUiOZEWdUgwBSoxp5IspkAkiNZEacUQ0CSI1q5IkokwkgNZIZlXUGUsOC/OKlK2Xtuo3tM08+8QRZs2rpkKsYqWEBkVO8JoDU8Do9BJeCAFIjBSxO9ZoAUsPr9BBcCgJIjRSwONVrAkgNf9OD1HCQG6SeEht6AAAO50lEQVSGA4gUUSoBpEap+KncIQGkhkOYFFUqAaRGqfip3CEBpIZDmBRVKgGkRqn4O1aO1HCQG6SGA4gUUSoBpEap+KncIQGkhkOYFFUqAaRGqfip3CEBpIZDmBRVKgGkRqn4kRp540dq5E2Y8vMmgNTImzDlF0UAqVEUaerJmwBSI2/ClF8UAaRGUaSpJ28CSI28CWcvn5Ea2dkNXonUcACRIkolgNQoFT+VOySA1HAIk6JKJYDUKBU/lTskgNRwCJOiSiWA1CgVf8fKkRoOcoPUcACRIkolgNQoFT+VOySA1HAIk6JKJYDUKBU/lTskgNRwCJOiSiWA1CgVP1LDX/xEBgEIQAACEIAABCAAAQhAAAIQgEBWAozUyEqO6yAAAQhAAAIQgAAEIAABCEAAAhAolQBSo1T8VA4BCEAAAhCAAAQgAAEIQAACEIBAVgJIjazkuA4CEIAABCAAAQhAAAIQgAAEIACBUgkgNTLiX7x0paxdt7F99cknniBrVi3NWBKXQaA4Am9seVvmXnTdkAo3PXPvkP/PPPcq2bZ9R/trl8yfI0uuuKC4AKkJAhkImH4d7q/05QwwuaQ0AsHnitkzT5cVyxYNxsIzR2lpoeKUBJbf8aDcu+bJwatW3XKNTJt6Cn05JUdOL4/A/IXL5PRTTzzo+feBR5+Wm25bPRgYz8/l5SiqZqRGhnxop77zvsdk3SO3t6+O6/wZiuYSCORKQPuuHhfOm9X+Wx+U33zrD4NSTv+vh3mYnvy5SyT8QJJrgBQOgZQEjNAYffQo+cJfnjn4EEJfTgmS00sloM8RekT9goRnjlJTQ+UpCJiXPvOyF/V/np9TAOXUQgkE5XH4lyTmWeOJ+2+W8eOOFZV3G1/8Dc/PhWaoc2VIjQzJCEuM8ANHhiK5BAKlEAj33bDECL8YlhIklUKgAwHts/qQseTv7xzymxX6Mt2mKgTWv/CyXP/tewZ/URKOm2eOqmSSOMMveuEXQfoyfaQKBHSUZ/CXJBpzUt/mmaP8zCI1MuRAO/vXLv7S4G+79YFk4bW3SngYUoaiuQQChRII3qTDDx9RN/FCg6MyCCQQCD5EBB+W6ct0nSoR0Pvw4z/dMDjtT2O/4eoFg88YPHNUKZvEqvdlHTmno5m1b7/51rbB0Z/0ZfpHFQhESY2oX/KZZ5Dx4z7ZntptRnHw/FxOlpEaGbhrJw4+cBipEezMGYrlEggUSsC8+JnpJVH92Dxsm6lWhQZIZRDoQCD8cByUGvRluk6VCISnAZr+a+7NPHNUKZvEqvfit7ZuH5R0wSms9GX6RxUIREkN7ddjjztmyFpHpj8fP/aT7V9uh6WGymqen4vLOFIjA2tMcwZoXOIVASM0gnKO3257lSKC6UAgasFbc7ousLj48vP4rQk9qDIEon4DGHzO4JmjMqlsfKDhkRlhQUdfbnwXqQQARmpUIk0HBYnUyJA35gRmgMYl3hCIEhomOOYEepMmAklJIHxfpi+nBMjppREIz9XWQIIvfzxzlJYaKk5JIGrh/ODoDPpySqCcXgoB1tQoBXvXlSI1MiBkJfIM0LjECwLh35qEg2LHCC/SRBAZCIQflunLGSBySSkEwlMB2TGilDRQqQMCZjvX8O4nZlg+z88OIFNE7gSipAa7n+SOvesKkBoZEbJnfEZwXFYqgWC/DQYSXpRu2/Yd7W+Ht7QqNXgqh0AHAlG/IdQHE/oy3aYKBIxwNrGG1+jimaMKWSRGJRB+zqAv0y+qQiDqGTm4CYQRzqY94Q0ieOYoN9NIjXL5UzsEIAABCEAAAhCAAAQgAAEIQAACGQkgNTKC4zIIQAACEIAABCAAAQhAAAIQgAAEyiWA1CiXP7VDAAIQgAAEIAABCEAAAhCAAAQgkJEAUiMjOC6DAAQgAAEIQAACEIAABCAAAQhAoFwCSI1y+VM7BCAAAQhAAAIQgAAEIAABCEAAAhkJIDUyguMyCEAAAhCAAAQgAAEIQAACEIAABMolgNQolz+1QwACEIAABCAAAQhAAAIQgAAEIJCRAFIjIzgugwAEIAABCEAAAhCAAAQgAAEIQKBcAkiNcvlTOwQgAAEIQAACEIAABCAAAQhAAAIZCSA1MoLjMghAAAIQgAAEIAABCEAAAhC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"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"bio.plot_history_single_bin(bin_address=0, title_prefix=\"The transient separation of `A` and `B` happens at other bins, too...\")"
]
},
{
"cell_type": "code",
"execution_count": 36,
"id": "4319db9c-5d52-4bb8-bb1a-805fa328808f",
"metadata": {},
"outputs": [
{
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3hMmBWFYf8e/nmWtJDs/900ZR4UD8cyX+XlX9xg++dB1M3tdJn8t6W0yefpV0gBp/f6j2TEMj08+ZXp8RvWpl8t5Na3vzll/K/GtvG3Rvmahf0nsu6f430c/rMqFGnrlQJNRQ22ZSyyI32426xIMF0xrFf44nBRRp4QWhRt5PNJZHAAEEEAhVoDWhRqgFYFz+BfJcUuN/tIwAgXYLmFzCoYR4X7d7nlS99aaX2lQ9LvpDAAEEEECgDQKEGm2oMtvYU4CDHyYIAvURINSoT63aMtK894VqiwvbiQACCCCAQFUChBpVSdNPsAKEGsGWhoEhcJQAoQaTIjQBfbmQi0u4QttWxoMAAggggECIAoQaIVaFMSGAAAIIIIAAAggggAACCCCAQKYAoUYmEQsggAACCCCAAAIIIIAAAggggECIAoQaIVaFMSGAAAIIIIAAAggggAACCCCAQKYAoUYmEQsggAACCCCAAAIIIIAAAggggECIAoQaIVaFMSGAAAIIIIAAAggggAACCCCAQKYAoUYmEQsggAACCCCAAAIIIIAAAggggECIAoQaIVaFMbVCQD2aUr8umHGWrFi6oBXb7XIjMT2iqx9TrK3X3n+zTJ54Qin6+KNUn37uBZl/7W1yw8J5csns80u1rVaeO3+pvLl1u6xfc0fpturSQF0eJ2271nWpD+NEAAEEEEAAgXoItCbUiB7stOFAMn4AYns6prW/aMmd8tj6DbLylqtl+rQzbHfbmPZmzLlKfuuMXw8myGhCPfOY9jqYVO1s275DXnzi3lrOtwceflyW3b5KbAQZUYA2hhra8oq5M+War1xsfT74CjXyBkh5Qg1XPwM2b3lLZl163aAanH7KybJ65RLrdaFBBBBAAAEEEKiXQONDDb2DFf9NeHQHqa4HL72mGqFGuG9EfYAQUvBT91Ajr2mTQw11wKpetg/2CDUINUzOynERauif1/EQQ83J8R85plVn94T7k42RIYAAAggg4E+g0aGG/i1brx0xdQBge+ffXzk/6NlXqBHCtoc+Ble/SS+z3a7nS5mxmayb19TXb8hNtqXsMnnOWMnTVxtDjTw+RZb1NQ9dnqlRxCFrHRVqrH7kb486W8bkZ3xW23wfAQQQQAABBOov0OhQQ+3cq1eea7T1b3yjpY2fxh3dEZ331Zu6p6rrV9Ip30mnzcZ/u5S0TPw3+XpHdNU3rx90Gm68raRLbfQy0dOIX//XrXLv6nXdoaszWRZ9+aKjTu/V34ve76FX+2k76S5ck95++reE8e8l1SVpWZNT9vP0ER9H/F4H+vvqbKE0O73jHp0PpnNBt6/biI5Hn70Ucj3VeLPmTi/TpDmStrwOP5MO+PQB/Uknjh94z6i29WUJ8TmRFqTqS1v0uPJe1hCvVbyfpFpm9REfkxpb0m+/bYQaSX3p95yNOR0/6063ufxPv9i9/4d+6d/4x98X8TP60i67yPpMN/2MSHrPJ7Vtes8dk1oqk5+9/MpRb41en31Rh+f+aWP3EkP9iv+cStomPXem/ebU7qVR+mW6XWm7Wnkui0lrg68jgAACCCCAQP0FGhtq6B3DPDtNemcsupPW62uq/NEdwaSDobTfJKmdTxVOqJv3JV23nbSe3hlNCjHi25n2m/foAWL8YEebRQ8M0hzT2k/aoXXhmvbWUwcT6sAzev27PsCI10rt2Ee31TQEM+0jbYxJIYVaNm+oocZvMheStl/VVQVyOvALtZ6mcyfNNK0GvX5DnhZqREMM9e/oAXH0vZQ0lqTT5/N8Run3bbSfpK+pcal5fOKEjxifgaaWVwf90XvgJL0XyoQaaduq5qY60FU3Gs3z+ZZ0iUOv93n0soVoaJD09STjaHhk8plu+hkRn4dJNc1zNoJpLYueqaHmV9Si1/sz+nmrw7bozykbgURS//XfLWMLEEAAAQQQQCCvQGNDjbQd/l5AaQd28R3APAefJqf197qfwT++8C8DB55pO6J6Zz56gJ4VaphcG62tVPvRcaiv5zkIduGaZ6Lrg5joNvcaf5EbAib14TrUSHpSRHwumB44hFpP07lTRaiRdl+etHAw+vW0967pZTNp6yd9FuUNNZLmadK4yoQaJgfRpp9vveZ0/NKbtDbTjOJfT+rL5DM9yTTpMyJev7SfLWrdv/vvPyv0lJmkWprUI7oNWebREK3XmRrxJzyVmavak3tq5PlpyLIIIIAAAgg0U4BQ4/269tppM93xjB9YmRxQmvSrwwrTnf5eoYPJmNJOTzYJTdJ+85gUohR1zXorJl2uoNaJHmTq07SzTs1P68ukjxBCDdNr9k1DDZP5qn9Dmyf8S7LK05ePUKPX+yzumRUyZt00Nmv96PuryIFi2iU50XGVCTVMggDTz7ess2xUXfR9ktLaNP16fA6afH7quWzyGRHflujZP0VvYG1SS5uhRjxIrSrU0J/hWe+drJ8XfB8BBBBAAAEE6i/Q+FDD9PKTXgdF8VNcTQ/WTA60ku51EJ9W8WvO4/cIsXWmhh5L/DdfedpP20lP2vEs6trrbad3dKMHefo3evEAI+n6c5Md5Dx9JI3V1uUnJmdqJNUuaUymoYaL90ne8EctH587Ju+1aD9ZB8Zx2zQfk68n3SMhvs29zpxKm7+qjaQz0vKEGtGxRS8XSPIsGmr0Gn/UwTTUSLtfhW4r+vllGl7odePLx0MM03lm+hmRNA+TfiaYPLo0Ty3rHmoQaNR/55MtQAABBBBAwKZAY0MNhWR6j4TowYHNMwpMfquX51GUpjv9anvy/GY3bYdef71MqJHnt+2mYVHaGyDrpn69zsowfcRvmT70uKsMNThTI3m2VBlq6Pdj0bOC8r6f84Qaed5zRUONXuMvEmroMZucyWA71MjzmR7/WZIU7pi8P/Xnb9b8yVNLm6GGyeWZaT+P8sxVPVcINGzuAtIWAggggAACzRBodKihd/J67QyqHUZ9na/p9ft5dh7T2lQHtv/u357evVGoyanZarrlCTXSHuuY59roXqFGWvt5Tj022RlWYzD97WjacvGDibTHA5ocYJj20evjocpQIytU0vcPCbGevQ6G43PHdI7Eg6WkJz6k3Sg06awvkzM1er13TX+MuLqnRtqZPDbP1Oi1/dF7RZh+vpkEC1lBrWnYkeeeGvozXd37Qj3hI37Wl0moEf15FJ0bJj8j8tQy6T5JveZiL/P42PL8DMgbaugbjpo8pcr0vcVyCCCAAAIIIFB/gUaHGqo8ekcv7SZ/ahn9Gz+9M1bk7u5pB99JbcZv3Kb/n3TDwegTKkx3+qPbHf9tZq+d06SnB0RP9Y62lbYDnbRD68I16a2X9ISF6BkY2jfpSRSqPZMze0z7KBJqJB30RE9FT3qkq8mlSPoeKdEDgfhBTYj1VIamcydvqNHrkggXoUbanNPzTj8JKW3e6Pdt0tMjki6rMn36SdKTNdLmXJkzNZLGH79xZpHPt3hwoMauHjmqg2rT8CItBEn6vMz6TFdtzbr0uu5jsvU4kj6HovNbvzeTnuqSVKOkeZKnlnnfL0mXOemwKv4UKRehBjcFrf/OJluAAAIIIICAS4HGhxoKL+2a9qQzOJJu7hb/rVCeMzVU/0ltpv0WL15skycopB2QRu8Zoa8zz/otZ/x6dRXwqIOEx9ZvGPT4U30wtm37ju6QdftpNi5cewUb+ntqXOqAUR1kJD2qMdqGyXXrSfMprY+0N26vA4q4kzowUo+8jP/mN88BYPTgKTqmeOCVNF981zPt/RN/T+Y9SFPtxu9doMNMF6GGdk+6j4vpvFNt6N9U6/aSLpfL+9vvuEPanCsTaujxxsdf5vMt7X5EJuGfadiR9nmZ9Zke/5mT9hmR9P5KulGzyb1+kuZ0Wi3VsvHP+l5nP+jtVduhP/Ojn/vRzxUXoYbJvadMLkdyuTNF2wgggAACCCDgT6AVoYY/XnpGAAEEEEAAAQQQQAABBBBAAAFXAoQarmRpFwEEEEAAAQQQQAABBBBAAAEEnAoQajjlpXEEEEAAAQQQQAABBBBAAAEEEHAlQKjhSpZ2EUAAAQQQQAABBBBAAAEEEEDAqQChhlNeGkcAAQQQQAABBBBAAAEEEEAAAVcChBquZGkXAQQQQAABBBBAAAEEEEAAAQScChBqOOWlcQQQQAABBBBAAAEEEEAAAQQQcCVAqOFKlnYRQAABBBBAAAEEEEAAAQQQQMCpAKGGU14aRwABBBBAAAEEEEAAAQQQQAABVwKEGq5kaRcBBBBAAAEEEEAAAQQQQAABBJwKEGo45aVxBBBAAAEEEEAAAQQQQAABBBBwJUCo4UqWdhFAAAEEEEAAAQQQQAABBBBAwKkAoYZTXhpHAAEEEEAAAQQQQAABBBBAAAFXAoQarmRpFwEEEEAAAQQQQAABBBBAAAEEnAoQajjlpXEEEEAAAQQQQAABBBBAAAEEEHAlQKjhSpZ2EUAAAQQQQAABBBBAAAEEEEDAqQChhlNeGkcAAQQQQAABBBBAAAEEEEAAAVcChBquZGkXAQQQQAABBBBAAAEEEEAAAQScChBqOOWlcQQQQAABBBBAAAEEEEAAAQQQcCVAqOFKlnYRQAABBBBAAAEEEEAAAQQQQMCpAKGGU14aRwABBBBAAAEEEEAAAQQQQAABVwKEGq5kaRcBBBBAAAEEEEAAAQQQQAABBJwKEGo45aVxBBBAAAEEEEAAAQQQQAABBBBwJUCo4UqWdhFAAAEEEEAAAQQQQAABBBBAwKkAoYZTXhpHAAEEEEAAAQQQQAABBBBAAAFXAoQarmRpFwEEEEAAAQQQQAABBBBAAAEEnAoQajjlpXEEEEAAAQQQQAABBBBAAAEEEHAlQKjhSpZ2EUAAAQQQQAABBBBAAAEEEEDAqQChhgXeN97ut9AKTSDgT+BDo4fJ0CFDZOfu/f4GQc8IWBAYO2qYDOsbIjt2MZctcNKER4ExI/tkxPA+efe9fR5HQdcIlBcYPaJPRnXm8zu/Yi6X16QFnwIjhw+VD40eLm/v3CsnHTfa51DoOyZAqGFhShBqWECkCa8ChBpe+encogChhkVMmvIqQKjhlZ/OLQoQaljEpCmvAoQaXvl7dk6oYaE2hBoWEGnCqwChhld+OrcoQKhhEZOmvAoQanjlp3OLAoQaFjFpyqsAoYZXfkIN1/yEGq6Fad+1AKGGa2Har0qAUKMqafpxLUCo4VqY9qsSINSoSpp+XAsQargWLt4+Z2oUtxtYk1DDAiJNeBUg1PDKT+cWBQg1LGLSlFcBQg2v/HRuUYBQwyImTXkVINTwyt+zc0INC7Uh1LCASBNeBQg1vPLTuUUBQg2LmDTlVYBQwys/nVsUINSwiElTXgUINbzyE2q45ifUcC1M+64FCDVcC9N+VQKEGlVJ049rAUIN18K0X5UAoUZV0vTjWoBQw7Vw8fY5U6O43cCahBoWEGnCqwChhld+OrcoQKhhEZOmvAoQanjlp3OLAoQaFjFpyqtAKKHGaeddITcsnCeXzD7fq0fZzufOXyonnXicrFi6oGxTQqhRmlAkLdTYsfddmbPmd+Vf39si40YeI5N+bYrceM4tctr437DQK00gYE+AUMOeJS35FSDU8OtP7/YECDXsWdKSXwFCDb/+9G5PoKpQY9GSO+Wx9RsGDfyCGWcNHPz7CjUeePhxWXb7Kll7/80yeeIJpWEJNUoT2m0gLdT4s+eWy22dP/HX0nNulS9+8o/tDoLWECghYCPU2Hpo/8AIth0+MPDv3XJIdh8+OPD/XYcH/z867K2R9UpsTuqqE4YM69nshKHDE78/ZkifjJGhg743ZsjQxK+N7SzLy58AoYY/e3q2K0CoYdeT1vwJEGr4s6dnuwJVhBoqsBj/kWNk/Zo7Bg1eBQBf/aM5Mn3aGeIr1LCrKUKoYVu0ZHtJoYY6S+Ps+04V9fdf/P735NTjzpDv/POfy7efv7Pb29XTFsvXOn94IRCCgA41/r/3dosOJLYd3i86gFDBhN83KJgAACAASURBVPr3tveDi13vBxW7O1/bFQksQtiWkMagAg4VfkRfE4YMDk7Gx4KUaPCiwpSxkfWj4Uo8VFH/J1ARIdQI6R3AWMoIEGqU0WPdkAQINUKqBmMpI+A61FBnaPzjC/9yVKARH7MONe6+7xHZtn1H99tXzJ0p13zl4kGLquX0Kx6U6EDhjTfflp+9/Ep3sdNPOVlWr1wiM+ZcNdBu9AyRp597QeZfe9tRZ2pE+1Ht6DM5ou3ocbz4xL0DYyLUKDMbHaybFGroszQ+PfFceejCdQO9PvTz78rCv/ly9/9fmDpPbpx+sxwz8lgHo6JJBD4QUGdRqLBChRNH/r2/+7cKJbZ2/t3f+fp7hz44m6KIXfQAPnrg3j34jp29kHbGRPfrQ4aIHD585O9er+gy+t+91ut8L+tMkLTvqzNNlFX0pYOd6NdCCnmiZ510w5H3zzSJ10OFJvoslDwhStpZLUXmjs11CDVsatKWTwFCDZ/69G1TgFDDpiZt+RRwHWqocCApnIhvsw4RdHigw4aVt1zdPZNDveJnc6jARAUYKrRQLxUoqDBDr7N5y1sy69Lrut/T7eqv6WXioYb+fnTM6hIV9VL3+1ChRvSME9WnekXHwD01fM7oWN9Jocan7psqr+3cJN+/8Edy9sRzBq3x4rZ/lot+OLN7FsdpEz4pf/F7q+WjvzY5oC1iKHUTUGdLqNBC/dl0cE/34F2dVaECi+hlIVnbpQ5UdSChziDQB7zqoHfs0D4Z//5ZBvosAc4O6C2q6hIPQ6KX5qi1VcAUDXGi9dJnyOheouGKClX6O+134p/uy2egEg84oqFW9EyUaICixhwPXj4IVwZf2pNnnhFqZL3L+X5dBAg16lIpxpklQKiRJcT36yLgMtSIBwi9TJIuP1EBwpWXf64bJtx614OdAGPboBtw6vZ1YJF0loRq47O/e/agMz6i7cZDDdXPhudfHggpsuqo78mhz9bgTI0ssYq/nxRqTLxzTHcUWxbsThzN67/aLH/4w890g49J46bIivO/dVT4UfFm0F0NBNRB8uZD+2TTob3dg+FNB/caBRc6rFAHh+rfKpxQf6uDSPW1KaNHybi+YbJz9wf3xagBB0PsIRAPR3S40r3HyaHOPU/ePxMmeo+TeIiiLzdS3cTPTMkTltksVPySnvhZKOOGDZOhnW3bd+DQQCin+4+HLzqkU98fH7vfSqhnoti0pK2wBQg1wq4PozMXINQwt2LJsAVCDzV0IKHPwkjS1Gdd5Ak1dLvxUMMklIhfmqLGRKgR6DyPhxoqqFBnaqiw4tnLN6aOWgUbizqXovxky5PdZbjPRqAF9jQsHWBsPLi7G2Kosy/UWRhpryl9ozpnWQwbCC2mDB15JLDo/J31snGj0Kw++H5zBdICFLXF3TNR3n/1ClDiZ6FEby7rK0CJVqzX2Si9LulRbcQv61FfiwYqSTedJVRp7vvFdMsINUylWC50AUKN0CvE+EwFXIYaagymNwBNO1MjGmpkXdbhOtTQAUj80hT19BRCDdMZV/Fy8VBD3zdj5sf/QL7TubQk63Xj09cO3ECUszaytJr7/Y0H+7vhxUCIEXmaSHSrT+0b0w0rpnb+zhNc9JIj1GjuvGralsUv6TnydJ0j9ztR/z7Qd1j6+oZI/96Dsqtznxj1Nf2K3zMleiaKCl/0pTzqbi6/THn/+fIsctNZNdb4/WuSwpJowKLWSQpZum2lPB3Il0nT+yXUaHqF27N9hBrtqXXTt9R1qKGChje3bk+8UagKCdQr7ekn0UtH1GUhj/74mZ43HLURasTv0xGtf9IYuPwk8HdIPNS456d/Lkueuka+dOaCzo1AbzEa/TNbnpJFj3+5ezmKeqkbjKqno8Tvx2HUGAvVQkCFGCrAUH+/1Pk7/lIHMSq0mNI3shtgqNPjTc66KLLxhBpF1FgnRAFX99SIny2S+Nji929UG39scfyyHuXW69Ie9f0Qzk7Jqm9S0NINP2JP+FFfiz/lR30tfo8V3V9aeBIPX9TyaQFMnvuwZG2nr+8TaviSp1/bAoQatkVpz5eA61BD3/ci/qQSFRDcu3rdwE09s87U0O1En1yizFSQcet/vlImTzwh8XGqaffUSLv8RPdzw8J53Xt5qJe+Uaj6d/SsDPV//TQUztTwNYMz+o2HGoseny/f27hKbv+db8lFn7jMeNTqxqHf6QQiKhRR/1YvFW58pnPGx0WfuJSnpBhLhrngkbMw+uUfDryXGGKoy0dUaHFq32iZrMIMg8tGbG0poYYtSdrxLeAq1PC9XUY3ne3cbyf69KB4uKK2IekJP9GARS2T9GSf7rqBnb1SpCZpQYxqK3p/lmjbSU9w0t9PC2YG2os90jnablJIo7+v+jxuxDAZPrxPdu46+l5HTQhtitSPdeopQKhRz7ox6qMFXIcauseke2LoG3yqZbJCDd1O/H4W+pGt6vs2ztRQ7USfmqL71WNVZ3I8tn7DAKS6FEWFM4Qagb674qHGBavPlhe3/lQeu/hZOW38b+QedVK4oRpRAYc6c+NTnT+qXR4Fm5u20hXUQcjPD+2RDZ0QQ52RET8gUCGGCjDUWRifGDqq81vLvkrHF+2MUMMbPR1bFmhqqGGZyUpzSUGLajj+hJ/u13Tgov6TckaLHlTao5Xj4YtaPv4UIHXpkLqMyOfTgKzglmykV3ijm04LcaJdJ51hEx9ar2AnumzSvWXSNrNX4DO4zcFPSspiIwzKEnLzfUINN660Wr1AVaFG9VtW/x6HHO686r8ZfrcgHmqc+u2TumdavPSlN0oHD+qylD97brmox8Dqszf01qrHwapw40jAcYyc2vlbPRqWsMPffFA78yrAUEGG+hN9qVOqVYBx1rAPeQ8x4kKEGv7mDD3bFSDUsOvZxNbSzjiJ3p8lut1Hvn7wg0cvvx/KqGWSzobR6yZddhRtNymk0d9XYc2e9+8Hcyi2m6aCG9WvCpV4uRcoci+ZpEuwTEZqEiKltWMaLvUaR5FtTWpPBVj6Ed3q++pAcETnz692d568VeCVdplZgaaOWsXWNtsYC22EL0CoEW6NCDUs1CYaaugnn6hgQYUatl4q0Hj2jaflmc6TUp7p/P2zXz7fs2l1w9FxnTEcM+IY+Wjn3+o1qRN4qFf3650QRL/U/8d1lkt6qZCEV7bAzw/1pwYZR0KM0ZVeTpI94sFLjBnV130M5nv9xXY48vbH8gi4ElD3IVA3Ci268+xqXLSLQF6B0SOGpl5+ktWWCmFUMNLr1d85p2W39A5Gth5Ul76o332pKEW9ov8+8pWs8EaPIfqEo6zxb408NanXskfOyFE/t/T4oksnjbvXtujvZa0Xd+i1Xnz0WW3HfV2OybRtxnRkfpnUTtU7/l453DkTd1j3/j8ftJFmGp1b5eeqydlYWe9FG9/vdQmfjfZttzGhe+Z0cs37Ot8a0Xl0fP/e/fInv/6/2u6a9koIEGqUwNOrRkONH73yqPzH//oFUWdRPDb3GQutJzehQg71SNiXOmdwqLM4VJjyWuf/r3f+jp/R4WwQNIwAAggggAACCCCAAAIItEzg8BIudgip5IQaFqoRDTX0k0++MHWerDh/pYXWizWhQo6d+3bIzr07OuHHkSeq6CerqK/v6Hxdv3Z2AhK1XPy1o7v+kRuWpr2GdH67r65g0n+bjjbP8tFlTdZzOaa067SzTl/MM6ak7c2z3aoGeZZXy+rfK8RPc9b19DGmrCvj8o4pqQZ5nRiTnc8Cl7UbOrTz27DOZ5Kayy7fd3nmU97tLfq+a9uYem1vr/e2SyebY4rO5eg7L+98yjOmrLbTXLPWi39yhDCm+La0bUym22vDSbUxdOgQOXjw0KD9k6JtF10vvn9k8lmQx0m1r/cTTNdjTEcfR6T97M76nCk6L9R6prVT8/jIsiKbFr5ietjDchUIEGpYQI6GGjc+fa18+/k7Zek5t8oXP/nHFlqniRAE1FNL1u1/Z9B9MlSQMXP4h7v3yFCPW63zi3tq1Ll6jD0qwD01mA9NEeCRrk2pJNvBjUKZA00R4J4a4VaSUMNCbaKhRtHHuVoYBk04EHjqwE75wb63Bz255Nzhx8i5w8Z1bvo52kGPfpok1PDjTq/2BQg17JvSoh8BQg0/7vRqX4BQw74pLfoRINTw427SK6GGiVLGMtFQ46IfzpSfdG7m+f0Lf9R9/Cqv+gmoJ5g8uX+HPNkJNPRd8tVZGZ8fcVz36SV1PysjqSKEGvWbp4w4WYBQg5nRFAFCjaZUku0g1GAONEWAUCPcShJqWKgNoYYFxACaUGGGOitDBRr6dWonxDh3+Dg5p3NmRpNfhBpNrm67to1Qo131bvLWEmo0ubrt2jZCjXbVu8lbS6gRbnUJNSzUJhpqfOq+qd0bcj57+UZRj1XlFb5AUpjRxEtMelWCUCP8ecoIzQQINcycWCp8AUKN8GvECM0ECDXMnFgqfAFCjXBrRKhhoTaEGhYQPTShwgx188+1+94Z6F2FGeoykyZeYkKo4WGS0WXlAoQalZPToSMBQg1HsDRbuQChRuXkdOhIoO2hxow5V8m27TvkxSfudSRcvFlCjeJ2A2tGQ42Jd47pfn3Lgt0WWqYJVwJr1GUmkXtmtDXM0L6cqeFqptFu1QKEGlWL058rAUINV7K0W7UAoUbV4vTnSqDNocbTz70g3/zOmi7t7FnT5ZLZ57tiLtQuoUYhtsErEWpYQKyoifjTTNTjWOeNPL51Z2bEuQk1KpqAdONcgFDDOTEdVCRAqFERNN04FyDUcE5MBxUJtDnUuPWuBweUNzz/sqxeuaQidbNuCDXMnHoupUMNdS8NdU8NdS8NdU8NXuEIqEtNVu55U146eOQMGvU0ExVm/Hbf2HAG6XEkhBoe8enaqgChhlVOGvMoQKjhEZ+urQoQaljlpDGPAlWFGs/076x8K4cNGSL/dtSvpfarLj1Z9c3ru9+fdel1svb+m2XyxBMqH2dah4QahqVQp9zMv/a2xGuICDUMET0stuvwQfnR/ne7TzXRYYa6Z0bTn2aSl5pQI68Yy4cqQKgRamUYV14BQo28YiwfqgChRqiVYVx5BaoINXYdPiSf3fxC3qGVXv5DQ/vkryedntiOvvREn50xd/7S4C5BIdTImAKbt7zVTaP0K+nGKDrUeHHbP8sFD35KTpvwSXls7jOlJxcNlBOIX2oya8SHZebwD7f+UpMkVUKNcnONtcMRINQIpxaMpJwAoUY5P9YOR4BQI5xaMJJyAlWEGns6ocbXt24qN9ACa48eOlT+0/jkJ3cuWnKnTPvNqQP30Xjg4cfl4bVPB3UJCqGGYdFV8ZbdvqrnmRrPbHlK/vCHn5FPTzxXHrpwnWHLLGZbIP6IVnWpyQ2jJxFm9IAm1LA9C2nPlwChhi95+rUtQKhhW5T2fAkQaviSp1/bAlWEGrbHbKO90867IrGZkC5BIdQwrLRJqPHQz78rC//my/KFqfNkxfkrDVtmMZsC0bMzxg7pkzmdS01mDj/WZheNbItQo5FlbeVGEWq0suyN3GhCjUaWtZUbRajRyrI3cqPbGGqoS08Wf+MeWb/mjkE1VZegnHXmKXLNVy4OotaEGoZl6BVq9O892G3luy/cJ1/+r/9R5p3xv8vK3/+OYcssZkPgvUMH5f/ZtVUe3rWt29xvjBgrXzvmo3J833AbzTe+jWF9Q6RzfyDZf+Bw47eVDWy2QKVzufOeafPr4MHD0tf57ODlRmDYUPW5PET2HzzkpoOyrfLjoqxga9bv68xl9Vmxb3+gc7k1lWBDywp0rtCQYX1Du3N59Mi+ss3VYn0VXpx04nGyYumCQeNVx8Z33/fIUWGHr40i1DCU7xVqbP/V3m4rK//pTrn+b/9Ervytr8ry8241bJnFygpsPbRf/vOvNssvD+7vNjV39Hj5QucPL3OBUSP6pLP7LP37DpivxJIIBCgwcnifqB3o3XsrmMstP6g73Nl+FYbyciOgfiM4bNhQ2dVfwVwusgnUvohaK9cZ0ZnHw9Vc3hPoXG5lVdjoIgLDO4GG2mf+Vf9++civjSzSBOs4EiDUMIQ1ufzkz55bLrd1/lw9bbF8rfOHl3uBNZ2nmkSfbMK9M4qZc/lJMTfWCk+Ay0/CqwkjKibA5SfF3FgrPAEuPwmvJoyomEAbLz8pJlX9WoQahuYmocaNT18r337+Tll6zq3yxU/+sWHLLFZEQN0MdNXeX8qGA+91V1ePaVX3z+BVTIBQo5gba4UnQKgRXk0YUTEBQo1ibqwVngChRng1YUTFBAg1irlVsRahRoZy/JGuavEr5s4cdFMU/UjXRY/Pl+9tXCW3/8635KJPXFZF/VrZhwo0lvW/JuqyE/VkExVonDNsXCstbG00oYYtSdrxLUCo4bsC9G9LgFDDliTt+BYg1PBdAfq3JUCoYUvSfjuEGhZMdajxR/9trqz7xV8TalgwTWti3f53RV1ysuvwwW6gweUmdrAJNew40op/AUIN/zVgBHYECDXsONKKfwFCDf81YAR2BAg17Di6aMV7qDFjzlWybfuOxG178Yl7XWyz9TZ1qHHRD2fKT7Y8Kd+/8Edy9sRzrPfT9gaj98+YNeLDctmICW0nsbb9hBrWKGnIswChhucC0L01AUINa5Q05FmAUMNzAejemgChhjVK6w15DTXSHhFjfSsdN6hDjQtWny0vbv2pPHbxs3La+N9w3Gt7mt8tB2XlnrcG7p8xb+TxMnP4se0BqGBLCTUqQKaLSgQINSphppMKBAg1KkCmi0oECDUqYaaTCgQINSpALtiF11DjtPOukJW3XC3Tp51RcPhhrKZDjU/dN1Ve27lJnr18o0waNyWMwdV8FPH7Zywa+T/JlL5RNd+q8IZPqBFeTRhRMQFCjWJurBWeAKFGeDVhRMUECDWKubFWeAKEGuHVRI+IUMNCbQg1LCAmNBEPNLh/hhtn1SqhhjtbWq5WgFCjWm96cydAqOHOlparFSDUqNab3twJEGq4sy3bstdQQ11+MnvWdLlk9vllt8Pr+jrUmHjnmO44tizY7XU8Teh806G9srz/9e4NQdWZGYtHTZSxQ/qasGlBbgOhRpBlYVAFBAg1CqCxSpAChBpBloVBFRAg1CiAxipBChBqBFmW7qC8hhpPP/eCLP7GPbJ+zR3hChmMTIUaO/a+K6d++yRCDQOvrEWeOrBT7t7zZncxbgiapWXn+4Qadhxpxb8AoYb/GjACOwKEGnYcacW/AKGG/xowAjsCbQ01kh7sEdotJLyGGuqeGr1edXr6ibqXhrqnhrqXhrqnBq9iAtEnnHx+xHEyp/OHl3sBQg33xvRQjQChRjXO9OJegFDDvTE9VCNAqFGNM724F2hzqPHZ3z1brvnKxV3kW+96UB798TNBnZjgNdRwP/Wq6UGdqUGoUd6aQKO8YdEWCDWKyrFeaAKEGqFVhPEUFSDUKCrHeqEJEGqEVhHGU1SAUONIqKGutph/7W0S0gkI3kMNjRKdXKGdzpI18VWo8cyWp+QPf/gZ+fTEc+WhC9dlrcL3YwIEGn6nBKGGX396tydAqGHPkpb8ChBq+PWnd3sChBr2LGnJr0BVocaj/+PRyjd0eN9w+cy/+Uxiv+ryk+iZGouW3NldbsXSBZWPM61Dr6HGAw8/LstuXyVr779ZJk88oTvGzVveklmXXic3LJxXmxuIEmqUm8/RQGPeyONl5vBjyzXI2rkFCDVyk7FCoAKEGoEWhmHlFiDUyE3GCoEKEGoEWhiGlVugilBjx94dcuw3qj8WOnbUsfLOde+khhrbtu8Y9L0LZpxFqKFFVOpz5eWfOyq8UGHH3fc9EtR1Or1mvQo1Hvr5d2Xh33xZvjB1nqw4f2XuN0lbV4gGGleOOlHOGTaurRRet5tQwys/nVsUINSwiElTXgUINbzy07lFAUINi5g05VWgilBj9/7dcvH3j1zmUeVr7Iix8sDnH0gNNaJnaqiF1FNMTzrxuGCCDa9naqgbhSZdahLidTqEGvbfVgQa9k2LtkioUVSO9UITINQIrSKMp6gAoUZROdYLTYBQI7SKMJ6iAlWEGkXH5nK9+OUnqi91s9ANz78sq1cucdm1cdteQ40mnalxz0//XJY8dY186cwFcuP0W4wL0NYFCTTCqjyhRlj1YDTFBQg1ituxZlgChBph1YPRFBcg1Chux5phCRBqfHAGSVLQ4bNaXkONJt1T48+eWy63df5cPW2xfK3zh1e6wFMHdsrde97sLsA9NMKYKYQaYdSBUZQXINQob0gLYQgQaoRRB0ZRXoBQo7whLYQh0OZQg3tqZMzBpjz9hFDD7MMmGmh8fsRxMqfzh5d/AUIN/zVgBHYECDXsONKKfwFCDf81YAR2BAg17DjSin+BtoYa/uWzR+D1TI3s4dVjCXWjUEKN7FptOrRXlve/LrsOHxQCjWyvKpcg1KhSm75cChBquNSl7SoFCDWq1KYvlwKEGi51abtKAUKNKrXz9UWokc8rcWlCjWzEbYcPyPW7N3UDjVkjPiyXjZiQvRJLVCZAqFEZNR05FiDUcAxM85UJEGpURk1HjgUINRwD03xlAoQalVHn7ohQIzfZ0SuoUGPR4/PlextXdR/nqh7ryusDARVoLOt/TbYe2i/nDj9G5o88AZ7ABAg1AisIwyksQKhRmI4VAxMg1AisIAynsAChRmE6VgxMgFAjsIJEhuMl1FCPcr1h4TxZdvuqnjIvPnFvuHKRkRFqpJdJnZmxfM8W2XRwj0zpGyWLR02UsUP6alHXNg2SUKNN1W72thJqNLu+bdo6Qo02VbvZ20qo0ez6tmnrCDXCrbaXUCNcjmIjI9RId1ux5w3ZcOA9mTB0uCwfPZlAo9gUc74WoYZzYjqoSIBQoyJounEuQKjhnJgOKhIg1KgImm6cCxBqOCcu3IHXUEOdsbHylqtl+rQzBm2AetTr3fc9IuvX3FF4w6pckVAjWfu7+7bK2n3vdAONG0ZPkvFDhlVZFvrKIUCokQOLRYMWINQIujwMLocAoUYOLBYNWoBQI+jyMLgcAoQaObAqXjTIUEM/5rVOl5/80X+bK+t+8dfynd9bLTM//gcVlzG87tbtf1dW7f1ld2A3jZkiU4aODG+QjGhAgFCDydAUAUKNplSS7SDUYA40RYBQoymVZDsINcKdA0GGGrfe9aA8+uNnanWmxkU/nCk/2fKkPHThOvn0xHPDrXgFI1OPblVPOlGveSOPl5nDj62gV7ooI0CoUUaPdUMSINQIqRqMpYwAoUYZPdYNSYBQI6RqMJYyAoQaZfTcrlt5qKHPwsjarKTLUrLW8fV9dfkJocYR/eiTTnh0q68Zmb9fQo38ZqwRpgChRph1YVT5BQg18puxRpgChBph1oVR5Rcg1MhvVtUalYca0Q1Lu6dGVRtvqx9CjSOS0SednNo3RhaP/qgtYtpxLECo4RiY5isTINSojJqOHAsQajgGpvnKBAg1KqOmI8cChBqOgUs07zXUKDHuoFYl1DhSjuiNQXnSSVBTNHMwhBqZRCxQEwFCjZoUimFmChBqZBKxQE0ECDVqUiiGmSlAqJFJ5G0BQg0L9CrU+NR9U+W1nZvk2cs3yqRxUyy0Wq8m9I1Bxw7p656hwY1B61U/Qo161YvRpgsQajA7miJAqNGUSrIdhBrMgaYIEGqEW0mvocbmLW/JrEuvS9Wp09NP2hxqqBuDLu9/vXv5CTcGDffN3mtkhBr1rBujPlqAUINZ0RQBQo2mVJLtINRgDjRFgFAj3Ep6DTVmzLlKPvu7Z8vZv32aLP7GPQNPO5k7f6nMnjVdLpl9frhykZG1+UwNFWQs7t8sWw/tF24MWovpmjhIQo361o6RDxYg1GBGNEWAUKMplWQ7CDWYA00RINQIt5JeQw19o9DJE4+XeV+9aSDUUE9IiYYc4fIdGVmbQ42Ve9+SJ/fvkCl9o2TxqImiLj/hVT8BQo361YwRJwsQajAzmiJAqNGUSrIdhBrMgaYIEGqEW8kgQo3p084QFXDoy030Y1/rdPnJqd8+SXbsfVde+tIbcszIY8OtuMWRRe+jcdOYKTJ+yDCLrdNUlQKEGlVq05dLAUINl7q0XaUAoUaV2vTlUoBQw6UubVcpQKhRpXa+vryGGuoyk7POPEWu+crFEv33rXc9KI/++JmBMzfybVL1S6szNSbeOabb8ZYFu6sfgIcetx0+INfv3tS9j8aVo06Uc4aN8zAKurQlQKhhS5J2fAsQaviuAP3bEiDUsCVJO74FCDV8V4D+bQkQatiStN+O11AjvjnqbA39Wnv/zTJ54gn2t9hBi20LNbiPhoNJ5LlJQg3PBaB7awKEGtYoacizAKGG5wLQvTUBQg1rlDTkWYBQw3MBenQfVKgRLlPvkbUt1Pjuvq2ydt87MmHocFk+ejL30ajrxI2Mm1CjAUVkE7oChBpMhKYIEGo0pZJsB6EGc6ApAoQa4VbSa6ihbxSq7qlR51ebQo2NB/tlWf9r3SBj8eiPypShI+tcOsb+vgChBlOhKQKEGk2pJNtBqMEcaIoAoUZTKsl2EGqEOwcINSzU5u9f+bl86r6pMmncFHn28o0WWgyzCXXZyaLdr3bvozFv5PEyc3g7bogaZjXsjopQw64nrfkTINTwZ0/PdgUINex60po/AUINf/b0bFeAUMOup83WvIYa6uags2dNl0tmn29zmypvqy2hxoo9b8iGA+/JqX1jumdp8GqOAKFGc2rZ9i0h1Gj7DGjO9hNqNKeWbd8SQo22z4DmbD+hRri19BpqbN7ylsz76k21ecpJWhnbEGrw+NZw38Q2RkaoYUORNkIQINQIoQqMwYYAoYYNRdoIQYBQI4QqMAYbAoQaNhTdtOE11Ig+7SRp81584l43W2251aaHGtHHt3LZieXJE0hzhBqBFIJhlBYg1ChNSAOBCBBqBFIIhlFagFCjNCENBCJAqBFIkxHqHAAAIABJREFUIRKG4T3UWHnL1RK/UegDDz8ud9/3SG3O4Pjxy38vFzz4KTltwiflsbnPhFvtgiNb3v+6vHRwt5w17EOyaNRJBVthtZAFCDVCrg5jyyNAqJFHi2VDFiDUCLk6jC2PAKFGHi2WDVmAUCPc6gQZajz93Asy/9rbpC5navzgnx+TP/zhZ+TTE8+Vhy5cF261C4wsetnJijEf4/GtBQzrsAqhRh2qxBhNBAg1TJRYpg4ChBp1qBJjNBEg1DBRYpk6CBBqhFulIEONW+96UB798TO1OVOjqaFG9LKTr42eKL/dNzbcmczISgkQapTiY+WABAg1AioGQyklQKhRio+VAxIg1AioGAyllAChRik+pytXHmroszCytirpspSsdXx9v6mhxvL+1zqXnfRz2YmviVVhv4QaFWLTlVMBQg2nvDReoQChRoXYdOVUgFDDKS+NVyhAqFEhds6uKg81ouNTNwqtU3iRZtvEUOOpAzvl7j1vdi83uWnMFBk/ZFjOqcXidRIg1KhTtRhrLwFCDeZHUwQINZpSSbaDUIM50BQBQo1wK+k11AiXJd/I7vi7b8vCv/myfGHqPFlx/sp8Kwe49K7DB2XR7ldF/c3TTgIskIMhEWo4QKVJLwKEGl7Y6dSBAKGGA1Sa9CJAqOGFnU4dCBBqOEC11CShhgXIpoUaK/e+JU/u3yGn9o2RxaM/akGIJkIXINQIvUKMz1SAUMNUiuVCFyDUCL1CjM9UgFDDVIrlQhcg1Ai3Qt5DjRlzrpJt23ckCtXl6SdNCjU2dh7duqzzCFcuOwn3TetiZIQaLlRp04cAoYYPdfp0IUCo4UKVNn0IEGr4UKdPFwKEGi5U7bTpNdSYO3+pnHTicbJi6QI7W+OplaaEGupyk8X9m2Xrof1cduJpLvnqllDDlzz92hYg1LAtSnu+BAg1fMnTr20BQg3borTnS4BQw5d8dr9eQ42m3Cj06//v/yVLnrpGvnTmArlx+i3Z6oEusWbf2/KDzp8pfaPkptGTAx0lw3IhQKjhQpU2fQgQavhQp08XAoQaLlRp04cAoYYPdfp0IUCo4ULVTpuEGhYc/2TtDXLbc8vl6mmL5WudP3V8bTt8QK7a9Yvu0G8YPUmm9o2u42Yw5oIChBoF4VgtOAFCjeBKwoAKChBqFIRjteAECDWCKwkDKihAqFEQroLVvIYa6vKT2bOmyyWzz69gU9110YRQY3nnPhovde6nMWvEh+WyERPcYdFykAKEGkGWhUEVECDUKIDGKkEKEGoEWRYGVUCAUKMAGqsEKUCoEWRZuoPyGmo8/dwLsvgb98j6NXeEK2QwsrqHGk8d2Cl373mze3PQFWM+1v2bV7sECDXaVe8mby2hRpOr265tI9RoV72bvLWEGk2ubru2jVAj3Hp7DTXUPTV6very9JM6hxrq5qCLdr8q6u95I4+XmcOPDXe2MjJnAoQazmhpuGIBQo2KwenOmQChhjNaGq5YgFCjYnC6cyZAqOGMtnTDXkON0qMPpIG537tcvrdxldz+O9+Siz5xWSCjMhvGd/dtlbX73pFT+8bI4tEfNVuJpRonQKjRuJK2doMINVpb+sZtOKFG40ra2g0i1Ght6Ru34YQa4ZaUUMNCbeoaamw6tFeu372pK3DTmCkyZehICxo0UUcBQo06Vo0xJwkQajAvmiJAqNGUSrIdhBrMgaYIEGqEW0lCDQu1qWuowc1BLRS/IU0QajSkkGyGEGowCZoiQKjRlEqyHYQazIGmCBBqhFtJ76GGegLKz15+pSu08parZfq0M0Tda+OCGWfJiqULwpWLjKyOocY/HNwlf9a/hZuD1mKGuR8koYZ7Y3qoRoBQoxpnenEvQKjh3pgeqhEg1KjGmV7cCxBquDcu2oPXUEMFGiedeFw3vJgx5ypZ/qdf7IYaDzz8uNx93yPOnoqyaMmd8tj6DV2z0085WVavXJLqp57QMv/a2476fvQmpnULNdRNQRf3b5ath/Zzc9Ci75yGrUeo0bCCtnhzCDVaXPyGbTqhRsMK2uLNIdRocfEbtumEGuEW1Guooc7IWHv/zTJ54gmDQg0dJLh4+kk8MFHByllnniLXfOXixCqZjOXf3TNDfrLlSfn+hT+SsyeeE2613x/Zmn1vyw86f7g5aPClqmyAhBqVUdORYwFCDcfANF+ZAKFGZdR05FiAUMMxMM1XJkCoURl17o68hhrq7IxV37z+qFDD5Zka8RAjq6+mhRrbDh/o3hxUna1xw+hJMrVvdO5JwwrNEyDUaF5N27pFhBptrXzztptQo3k1besWEWq0tfLN225CjXBr6jXUuPWuB+XRHz/TvcxEX34yeeLxMuvS6+SKuTNTz54ow6n6ufLyz8kls8/vNpMVWiRdfhI/g6ROZ2qs2POGbDjwnpw7/BiZP/KEMpSs2yABQo0GFbPlm0Ko0fIJ0KDNJ9RoUDFbvimEGi2fAA3afEKNcIvpNdSIhgpRohsWzhsIHWzTqUteou3r0EJfBpPVnzrTQ72i9+E49/8+T57avF7W/m+PyzmTzs1qwtv3X9i/W/7P7a/Ih4b2yX857t/I8UOHexsLHYclMHzYUBnSGdK+A4fCGhijQSCngJrLQzuTee9+5nJOutyLHzx0WPoUNi8nAsP7OnO547t3/0En7dMoAlUJDOvM5b6+zlzex1yuypx+3Aion3lqP2NPZy6rX6LwCkfAe6hRNUXeMzXi40s6s2PK7SfL5h2vyk+/9D9k8jEfq3qTjPv7Tzs2yc/275KLx0yQuZ0/vBDQAqOGd0KNIUOknx0OJkXNBUaqUKOz08Fcdl/Iw4cPdz83eLkRGDFsiKiDwd17ORB0I0yrVQmM6AQa6kBwF3O5KnL6cSQwvDOXRw7vk/f2HJBjx/LLYUfMhZr1Gmrop5DEL+dw+UjXvPfUMAk1Jq/4mLy2c5M8e/lGmTRuSqFCuF7pqQM75e49b/IIV9fQNW2fy09qWjiGfZQAl58wKZoiwOUnTakk28HlJ8yBpghw+Um4lfQaasTPmtBMWTfvLMOZ9fQTdZ+Pe1evEx20qOBl0Zcv6t7MVL3UmH/rjF/vPoZWv0IPNaKPcL1y1IlyzrBxZQhZt4EChBoNLGpLN4lQo6WFb+BmE2o0sKgt3SRCjZYWvoGbTagRblG9hhrqjIyVt1wt06edMUgo6+adZTn1GSKqndNPOXnQ/THioYb+v+4zvrz6euihxpp92zqPcN3OI1zLTpwGr0+o0eDitmzTCDVaVvAGby6hRoOL27JNI9RoWcEbvLmEGuEW12uo4eNMDRelOPYbH5Yde9+Vl770hhwz8lgXXRRuU52lsWj3qzzCtbBgO1Yk1GhHnduwlYQabahyO7aRUKMddW7DVhJqtKHK7dhGQo1w6+w11FCXgiy7fZVEnzyyectb3Ue6unwCiu1yDFl65EZpWxbstt106fa+u2+rrN33DmdplJZsdgOEGs2ub5u2jlCjTdVu9rYSajS7vm3aOkKNNlW72dtKqBFufb2GGopFX2oSJUq6JCVcQpFQQ41thw/IVbt+0aW7Y+zHZfwQHj0U8jzyOTZCDZ/69G1TgFDDpiZt+RQg1PCpT982BQg1bGrSlk8BQg2f+r379h5qhEtjPrJQQ43l/a/LSwd3y6wRH5bLRvAIV/OKtm9JQo321bypW0yo0dTKtm+7CDXaV/OmbjGhRlMr277tItQIt+aEGhZqE2KosfFgvyzrf41HuFqobxuaINRoQ5XbsY2EGu2ocxu2klCjDVVuxzYSarSjzm3YSkKNcKvsPdRQNwvdtn1HopB+rGq4fCKvvvuqnHzHyTJp3BR59vKNwQxVn6Xx+RHHyZzOH14I9BIg1GB+NEWAUKMplWQ7CDWYA00RINRoSiXZDkKNcOeA11Bj7vylctKJx8mKpQvCFcoYWYihBmdp1HY6eRs4oYY3ejq2LECoYRmU5rwJEGp4o6djywKEGpZBac6bAKGGN/rMjr2GGqedd4XU7aagcdEQQ42Fu1+RrYf2y7yRx8vM4WE9YjZzRrKAFwFCDS/sdOpAgFDDASpNehEg1PDCTqcOBAg1HKDSpBcBQg0v7EadEmoYMaUvFFqosW7/u7Jq7y9lwtDhcvuYk0tuHau3RYBQoy2Vbv52Emo0v8Zt2UJCjbZUuvnbSajR/Bq3ZQsJNcKttNdQQ11+MnvWdLlk9vnhCmWMLKRQY9fhg7Jo96ui/r5h9CSZ2je6tq4MvFoBQo1qvenNnQChhjtbWq5WgFCjWm96cydAqOHOlparFSDUqNY7T29eQ42nn3tBFn/jHlm/5o48Yw5q2fWb1st5954nn554rjx04TqvY1uz7235QefPqX1jZPHoj3odC53XS4BQo171YrTpAoQazI6mCBBqNKWSbAehBnOgKQKEGuFW0muooe6p0etVh6efhBJqcJZGuG+yOoyMUKMOVWKMJgKEGiZKLFMHAUKNOlSJMZoIEGqYKLFMHQQINcKtktdQI1wW85GFEmpwloZ5zVjyaAFCDWZFUwQINZpSSbaDUIM50BQBQo2mVJLtINQIdw54DzXUJSjzr71tkFCdnojyVy//lcx+cLbM/PgfyHd+b7WXSm87fECu372Je2l40W9Gp4QazagjWyFCqMEsaIoAoUZTKsl2EGowB5oiQKgRbiW9hhoPPPy4LLt9lay9/2aZPPGErtLmLW/JrEuvkxsWzqvFDUT/8qd/KVc8fIV8Yeo8WXH+Si+VXrn3LXly/w45d/gxMn/kEUdeCOQRINTIo8WyIQsQaoRcHcaWR4BQI48Wy4YsQKgRcnUYWx4BQo08WtUu6zXUmDHnKrny8s8dFV6osOPu+x6pxQ1EfYca6iyNq3b9ojtr7hj7cRk/ZFi1M4jeGiFAqNGIMrIRHQFCDaZBUwQINZpSSbaDUIM50BQBQo1wK+k11FA3Ck261ERfklKHG4X6DjWW978uLx3cLbNGfFguGzEh3JnGyIIWINQIujwMLocAoUYOLBYNWoBQI+jyMLgcAoQaObBYNGgBQo1wy+M11GjCmRp3/P0dsnDdQvnSmQvkxum3VFrpjQf7ZVn/azJ2SJ+sGPOx7t+8ECgiQKhRRI11QhQg1AixKoypiAChRhE11glRgFAjxKowpiIChBpF1KpZx2uo0YR7aixdv1RufOJGuXraYvla50+VL32WxudHHCdzOn94IVBUgFCjqBzrhSZAqBFaRRhPUQFCjaJyrBeaAKFGaBVhPEUFCDWKyrlfz2uooTav7k8/8RVqcJaG+zdHm3og1GhTtZu9rYQaza5vm7aOUKNN1W72thJqNLu+bdo6Qo1wq+091AiXxmxkvkINztIwqw9LmQkQapg5sVT4AoQa4deIEZoJEGqYObFU+AKEGuHXiBGaCRBqmDn5WIpQo6T6f/ir/yD3Pn+v3P4735KLPnFZydbMVt/YuTHoss4NQrmXhpkXS2ULEGpkG7FEPQQINepRJ0aZLUCokW3EEvUQINSoR50YZbYAoUa2ka8lvIQa+l4aNyycl/g412W3r5Kk7/lC6tWvj1Bj4e5XZOuh/TJv5PEyc/ixIbIwppoJEGrUrGAMN1WAUIPJ0RQBQo2mVJLtINRgDjRFgFAj3Ep6CTXmzl8qJ514nKxYuiBRZtGSO+WNN9+W1SuXhCv3/siqDjWeOrBT7t7zpkwYOlxuH3Ny8D4MsB4ChBr1qBOjzBYg1Mg2Yol6CBBq1KNOjDJbgFAj24gl6iFAqBFunbyEGqedd4WsvOVqmT7tjEQZffPQF5+4N1y590d24eoL5eGfPyx/8fvfk8+c/Fmn4911+KAs7t/cPUvjylEnyjnDxjntj8bbI0Co0Z5aN31LCTWaXuH2bB+hRntq3fQtJdRoeoXbs32EGuHWmlCjZG3+/V/+e3ni1Sfk+xf+SM6eeE7J1nqvvmbfNvnBvu1yat8YWTz6o077ovF2CRBqtKveTd5aQo0mV7dd20ao0a56N3lrCTWaXN12bRuhRrj19hJqzJhzlSz/0y/2PFNj8TfukfVr7ghX7v2RVRVqqLM0Fu1+VdTfN4yeJFP7RgdvwwDrI0CoUZ9aMdLeAoQazJCmCBBqNKWSbAehBnOgKQKEGuFW0kuocetdD8qG519OvWdG1j03QuKsKtRYs+/tzlkab3OWRkjFb9BYCDUaVMyWbwqhRssnQIM2n1CjQcVs+aYQarR8AjRo8wk1wi2ml1BDcaizNdQrfjaG+vq27TukDvfTUOM/+Y6T5dV3X5VnL98ok8ZNcVJpztJwwkqjEQFCDaZDUwQINZpSSbaDUIM50BQBQo2mVJLtINQIdw54CzUUiTpj497V6wbpXDDjrNSnooTIWEWo8d19W2Xtvnc4SyPECdCQMRFqNKSQbIYQajAJmiJAqNGUSrIdhBrMgaYIEGqEW0mvoUa4LOYjcx1qbDt8QK7a9YvugO4Y+3EZP2SY+eBYEgFDAUINQygWC16AUCP4EjFAQwFCDUMoFgtegFAj+BIxQEMBQg1DKA+LEWqURHcdaqzY84ZsOPCenDv8GJk/8oSSo2V1BJIFCDWYGU0RINRoSiXZDkIN5kBTBAg1mlJJtoNQI9w5QKhRsjZDlg7ptrBlwe6SLR29+saD/bKs/zUZO6RPbhozhbM0rAvToBYg1GAuNEWAUKMplWQ7CDWYA00RINRoSiXZDkKNcOcAoUbJ2rgMNZb3vy4vHdwtnx9xnMzp/OGFgCsBQg1XsrRbtQChRtXi9OdKgFDDlSztVi1AqFG1OP25EiDUcCVbvl1CjZKGrkKN6FkaK8Z8rHu2Bi8EXAkQariSpd2qBQg1qhanP1cChBquZGm3agFCjarF6c+VAKGGK9ny7RJqlDRUocYxI4+Vl770RsmWBq9+ff9m2XRwD2dpWFWlsTQBQg3mRlMECDWaUkm2g1CDOdAUAUKNplSS7SDUCHcOEGqUrI0KNSaNmyLPXr6xZEsfrP7UgZ1y9543ZcLQ4bJ89GTO0rAmS0OEGsyBpgsQajS9wu3ZPkKN9tS66VtKqNH0Crdn+wg1wq01oUbJ2tgONXYdPiiLdr8q6u+vjZ4ov903tuQIWR2BbAHO1Mg2Yol6CBBq1KNOjDJbgFAj24gl6iFAqFGPOjHKbAFCjWwjX0sQapSUtx1qrNn3tvyg8+fUvjGyePRHS46O1REwEyDUMHNiqfAFCDXCrxEjNBMg1DBzYqnwBQg1wq8RIzQTINQwc/KxFKFGSXUVapw24ZPy2NxnSrYksu3wAbl+96buWRo3jJ4kU/tGl26TBhAwESDUMFFimToIEGrUoUqM0USAUMNEiWXqIECoUYcqMUYTAUINEyU/yxBqlHRXocanJ54rD124rmRLIiv3viVP7t8hZw37kCwadVLp9mgAAVMBQg1TKZYLXYBQI/QKMT5TAUINUymWC12AUCP0CjE+UwFCDVOp6pcj1ChpbivUiD7C9aYxU2T8kGElR8bqCJgLEGqYW7Fk2AKEGmHXh9GZCxBqmFuxZNgChBph14fRmQsQaphbVb0koUZJcRVqzPz4H8h3fm91qZaW978mLx3s5xGupRRZuagAoUZROdYLTYBQI7SKMJ6iAoQaReVYLzQBQo3QKsJ4igoQahSVc78eoUZJYxVqfGHqPFlx/srCLa3b/66s2vtLHuFaWJAVywoQapQVZP1QBAg1QqkE4ygrQKhRVpD1QxEg1AilEoyjrAChRllBd+sTapS0LRtqRB/heuWoE+WcYeNKjojVEcgvQKiR34w1whQg1AizLowqvwChRn4z1ghTgFAjzLowqvwChBr5zapag1CjpHTZUOO7+7bK2n3v8AjXknVg9XIChBrl/Fg7HAFCjXBqwUjKCRBqlPNj7XAECDXCqQUjKSdAqFHOz+XahBoldVWo8aUzF8iN02/J3dLGg7tlWf/r3fXuGPtxbg6aW5AVbAkQatiSpB3fAoQavitA/7YECDVsSdKObwFCDd8VoH9bAoQatiTtt0OoUdJUhRpXT1ssX+v8yfu6vn+zbDq4h5uD5oVjeesChBrWSWnQkwChhid4urUuQKhhnZQGPQkQaniCp1vrAoQa1kmtNUioUZKyaKjBzUFLwrO6VQFCDaucNOZRgFDDIz5dWxUg1LDKSWMeBQg1POLTtVUBQg2rnFYbI9QoyVkk1Nh2+IBcv3uTqJuE3jB6kkztG11yFKyOQDkBQo1yfqwdjgChRji1YCTlBAg1yvmxdjgChBrh1IKRlBMg1Cjn53JtQo2SuirUuP13viUXfeIy45aWd+6j8VLnfhqzRnxYLhsxwXg9FkTAlQChhitZ2q1agFCjanH6cyVAqOFKlnarFiDUqFqc/lwJEGq4ki3fLqFGScO8oQaXnZQEZ3UnAoQaTlhp1IMAoYYHdLp0IkCo4YSVRj0IEGp4QKdLJwKEGk5YrTRKqFGSMU+osenQ3u5lJ+rFZScl4VndqgChhlVOGvMoQKjhEZ+urQoQaljlpDGPAoQaHvHp2qoAoYZVTquNEWqU5DQNNdT9MxZ3nnay9dB+Ljspac7q9gUINeyb0qIfAUINP+70al+AUMO+KS36ESDU8ONOr/YFCDXsm9pqkVCjpKQKNb5/4Y/k7Inn9Gxp5d635Mn9O2RK3yhZPGqijB3SV7JnVkfAngChhj1LWvIrQKjh15/e7QkQatizpCW/AoQafv3p3Z4AoYY9S9stEWqUFDUJNdbse1t+0PmjgoybxkyR8UOGleyV1RGwK0CoYdeT1vwJEGr4s6dnuwKEGnY9ac2fAKGGP3t6titAqGHX02ZrhBolNbNCjacO7JS797zZ7YX7aJTEZnVnAoQazmhpuGIBQo2KwenOmQChhjNaGq5YgFCjYnC6cyZAqOGMtnTDhBolCVWo8djFz8pp43/jqJbUjUHV41vV/TTmjTxeZg4/tmRvrI6AGwFCDTeutFq9AKFG9eb06EaAUMONK61WL0CoUb05PboRINRw42qjVUINA8VFS+6Ux9Zv6C55+ikny+qVSwbWUqHGs5dvlEnjpgxqKRpofH7EcTKn84cXAqEKEGqEWhnGlVeAUCOvGMuHKkCoEWplGFdeAUKNvGIsH6oAoUaolREh1MiozQMPPy533/eIrF9zR3fJufOXyllnniLXfOXi7v+TQo11+9+VVXt/2f0+gUa4k5+RfSBAqMFsaIoAoUZTKsl2EGowB5oiQKjRlEqyHYQa4c4BQo2M2sRDjHjIEQ01th0+0L0hqHrKCYFGuJOekR0tQKjBrGiKAKFGUyrJdhBqMAeaIkCo0ZRKsh2EGuHOAUKNjNrMmHOVXHn55+SS2ed3l3z6uRdk/rW3yYtP3Nv9vwo1fvJ/vCPqhqAbDrwnWw/t736de2iEO+kZGaEGc6C5AoQaza1t27aMUKNtFW/u9hJqNLe2bdsyQo1wK06okVGb0867Qm5YOO+oUGPt/TfL5IkndEON8654fqCV/3nEaFl2/MlyQt/wcKvOyBBAAAEEEEAAAQQQQAABBBBogAChRkYRs87U+NB/+V/kDz7/V3LmqA/JzA99RD45cmwDpgWbgAACCCCAAAIIIIAAAggggED4AoQaGTXKuqeGWv2Nt/vDrzQjRKCHAPfUYHo0RYDLT5pSSbaDy0+YA00R4PKTplSS7eDyk3DnAKFGRm2ynn5CqBHu5GZk5gKEGuZWLBm2AKFG2PVhdOYChBrmViwZtgChRtj1YXTmAoQa5lZVL0moYSC+aMmd8tj6Dd0lTz/lZFm9csmgtThTwwCRRYIWINQIujwMLocAoUYOLBYNWoBQI+jyMLgcAoQaObBYNGgBQo1wy0OoYaE2hBoWEGnCqwChhld+OrcoQKhhEZOmvAoQanjlp3OLAoQaFjFpyqsAoYZX/p6dE2pYqA2hhgVEmvAqQKjhlZ/OLQoQaljEpCmvAoQaXvnp3KIAoYZFTJryKkCo4ZWfUMM1P6GGa2Hady1AqOFamParEiDUqEqaflwLEGq4Fqb9qgQINaqSph/XAoQaroWLt8+ZGsXtBtYk1LCASBNeBQg1vPLTuUUBQg2LmDTlVYBQwys/nVsUINSwiElTXgUINbzy9+ycUMNCbQg1LCDShFcBQg2v/HRuUYBQwyImTXkVINTwyk/nFgUINSxi0pRXAUINr/yEGuHyMzIEEEAAAQQQQAABBBBAAAEEECgqwJkaReVYDwEEEEAAAQQQQAABBBBAAAEEvAoQanjlp3MEEEAAAQQQQAABBBBAAAEEECgqQKhRVI71EEAAAQQQQAABBBBAAAEEEEDAqwChRkH+RUvulMfWb+iuffopJ8vqlUsKtsRqCFQnsHnLWzLr0usGdfjiE/cO+v+MOVfJtu07ul+7Yu5MueYrF1c3QHpCoICAntfx+cpcLoDJKt4EovsVF8w4S1YsXTAwFvY5vJWFjnMK3HrXg3Lv6nUDa6285WqZPu0M5nJORxb3JzB3/lI568xTjtr/feDhx2XZ7asGBsb+s78aJfVMqFGgHmpS333fI7J+zR3dtdMmf4GmWQUBpwJq7qrXJbPP7/6tdpTfePPtgVBO/V+99M70aeddIfEdEqcDpHEEcgroQGP8R46Rz/7u2QM7IczlnJAs7lVA7UeoV9IvSNjn8FoaOs8hoA/69MFe0v/Zf84ByqKVCkTD4/gvSfS+xtr7b5bJE08QFd5teP5l9p8rrVDvzgg1ChQjHmLEdzgKNMkqCHgRiM/deIgRPzD0Mkg6RaCHgJqzaifjmq/fPeg3K8xlpk1dBJ5+7gVZ/I17Bn5REh83+xx1qSTjjB/oxQ8EmcvMkToIqLM8o78kUWPOmtvsc/ivLKFGgRqoyX7l5Z8b+G232iGZf+1tEj8NqUDTrIJApQLRD+n4zkfSh3ilg6MzBDIEojsR0Z1l5jJTp04C6nP40R8/M3DZnxr7DQvnDexjsM9Rp2oyVvW5rM6cU2czq7n9xpsn+rMlAAALNklEQVTbBs7+ZC4zP+ogkBRqJP2ST++DTJ54fPfSbn0WB/vPfqpMqFHAXU3i6A6HDjWik7lAs6yCQKUC+sBPX16SNI/1zra+1KrSAdIZAj0E4jvH0VCDuczUqZNA/DJAPX/1ZzP7HHWqJmNVn8Vvbt0+ENJFL2FlLjM/6iCQFGqoeX3SiccNuteRns+TTjq++8vteKihwmr2n6urOKFGAWuS5gJorBKUgA40ouEcv90OqkQMpodA0g1v9eLqBouLvnwRvzVhBtVGIOk3gNH9DPY5alPK1g80fmZGPKBjLrd+itQCgDM1alGmowZJqFGgblwTWACNVYIRSAo09OC4JjCYMjGQnALxz2Xmck5AFvcmEL9WWw0kevDHPoe30tBxToGkG+dHz85gLucEZXEvAtxTwwt76U4JNQoQcifyAmisEoRA/Lcm8UHxxIggysQgCgjEd5aZywUQWcWLQPxSQJ4Y4aUMdGpBQD/ONf70E31aPvvPFpBpwrlAUqjB00+cs5fugFCjICHPjC8Ix2peBaLzNjqQ+E3ptm3f0f12/JFWXgdP5wj0EEj6DaHaMWEuM23qIKADZz3W+D262OeoQxUZoxKI72cwl5kXdRFI2keOPgRCB856e+IPiGCfw2+lCTX8+tM7AggggAACCCCAAAIIIIAAAggUFCDUKAjHaggggAACCCCAAAIIIIAAAggg4FeAUMOvP70jgAACCCCAAAIIIIAAAggggEBBAUKNgnCshgACCCCAAAIIIIAAAggggAACfgUINfz60zsCCCCAAAIIIIAAAggggAACCBQUINQoCMdqCCCAAAIIIIAAAggggAACCCDgV4BQw68/vSOAAAIIIIAAAggggAACCCCAQEEBQo2CcKyGAAIIIIAAAggggAACCCCAAAJ+BQg1/PrTOwIIIIAAAggggAACCCCAAAIIFBQg1CgIx2oIIIAAAggggAACCCCAAAIIIOBXgFDDrz+9I4AAAggggAACCCCAAAIIIIBAQQFCjYJwrIYAAggggAACCCCAAAIIIIAAAn4FCDX8+tM7AggggAACCCCAAAIIIIAAAggUFCDUKAjHaggggAACCCCAAAIIIIAAAggg4FeAUMOvP70jgAACCCCAAAIIIIAAAggggEBBAUKNgnCshgACCCCAAAIIIIAAAggggAACfgUINfz60zsCCCCAAAIIIIAAAggggAACCBQUINQoCMdqCCCAAAIIIIAAAggggAACCCDgV4BQw68/vSOAAAIItFzg1rselHtXrztK4cUn7pUHHn5clt2+Sm5YOE8umX3+oGUWLblTHlu/Qdbef7NMnniC9Grn6edekPnX3tZTWvWhXqq/pJcegx7T6aecLKtXLhm0qB5D0vf0gqedd0XPcVww46zu99W26dcVc2fKNV+5WDZveUtmXXpd98vKJ/qKbqP+nh5rr+1p+fRj8xFAAAEEEKi9AKFG7UvIBiCAAAII1FVABxPxA3T19Wm/ObUbZOigILqMPoBfecvVMn3aGWLSTtRILf/Gm28fFUroECA+nui60aBAByr6+zPmXCXbtu+QXqFGUltJ/eltjPYRDTXiQY82iAYeJttT17nDuBFAAAEEEEDgiAChBjMBAQQQQAABTwLqrAV9FkKvIaiw4LfO+HVZsXRBd7H4/03b0X2UDTXuvu+R7njUS49JBQjq6ydO+Ej36/GzOJK2r1fo0CvUUGaP/vgZWb/mjm6zOuxQZ3moMzziZ2r0Cmk8lZ5uEUAAAQQQQMCSAKGGJUiaQQABBBBAIK9APJxIWz96ZsYz//DioAP6pJAjaxw2Qo1V37y+eymIPpNi7vylMnvWdHl47dPOQw3V57yv3iRXXv65gbNZ3nhzm5x04vjupTyEGlkzgO8jgAACCCDQHAFCjebUki1BAAEEEKiZQNI9H9LOKoheXqEvO9Gbm6cdtU5WqJHEGL2nhjojQ50loYKMk048Tj7/+zNk8TfuGfiaWt/lmRoq1Fj9yN8OhDvqTBX9taRQo9f21GzKMFwEEEAAAQQQiAkQajAlEEAAAQQQCEBA349CDyUeXKivq4N3dYmFvuQjadgm7WSFGln31NChhj6DRN1DQ52loe4BooKOKkINdXNU5aH6VsGKMonff4R7agQwsRkCAggggAACjgUINRwD0zwCCCCAAAJ5BVQwoe5NET/bwfRyFd1fWju2Qg3VjwoxfvbyKwOXfFQZaugQQwdAhBp5ZxrLI4AAAgggUH8BQo3615AtQAABBBCooYC6uaW6hEI9qjT+SgsGkkKNIu3YDDXU2RCv/+vWge2oMtRQ237N1+8eCH8INWr4RmDICCCAAAIIlBQg1CgJyOoIIIAAAggUEdBP7Bj/kWMGnuKh2tGXTCRdfpIWaqgbduZpx2aoYRrIJBkVffpJ/FGyum1CjSIzkXUQQAABBBCotwChRr3rx+gRQAABBGouoO4LEX+lHbT3uvwkTztZoUYSadKNQpOWs3GmRvSmqKoP/dhbHQTlDTV6bU/Npw/DRwABBBBAoPUChBqtnwIAIIAAAggggAACCCCAAAIIIFBPAUKNetaNUSOAAAIIIIAAAggggAACCCDQegFCjdZPAQAQQAABBBBAAAEEEEAAAQQQqKcAoUY968aoEUAAAQQQQAABBBBAAAEEEGi9AKFG66cAAAgggAACCCCAAAIIIIAAAgjUU4BQo551Y9QIIIAAAggggAACCCCAAAIItF6AUKP1UwAABBBAAAEEEEAAAQQQQAABBOopQKhRz7oxagQQQAABBBBAAAEEEEAAAQRaL0Co0fopAAACCCCAAAIIIIAAAggggAAC9RQg1Khn3Rg1AggggAACCCCAAAIIIIAAAq0XINRo/RQAAAEEEEAAAQQQQAABBBBAAIF6ChBq1LNujBoBBBBAAAEEEEAAAQQQQACB1gsQarR+CgCAAAIIIIAAAggggAACCCCAQD0FCDXqWTdGjQACCCCAAAIIIIAAAggggEDrBQg1Wj8FAEAAAQQQQAABBBBAAAEEEECgngKEGvWsG6NGAAEEEEAAAQQQQAABBBBAoPUChBqtnwIAIIAAAggggAACCCCAAAIIIFBPAUKNetaNUSOAAAIIIIAAAggggAACCCDQegFCjdZPAQAQQAABBBBAAAEEEEAAAQQQqKcAoUY968aoEUAAAQQQQAABBBBAAAEEEGi9AKFG66cAAAgggAACCCCAAAIIIIAAAgjUU4BQo551Y9QIIIAAAggggAACCCCAAAIItF6AUKP1UwAABBBAAAEEEEAAAQQQQAABBOopQKhRz7oxagQQQAABBBBAAAEEEEAAAQRaL0Co0fopAAACCCCAAAIIIIAAAggggAAC9RQg1Khn3Rg1AggggAACCCCAAAIIIIAAAq0XINRo/RQAAAEEEEAAAQQQQAABBBBAAIF6ChBq1LNujBoBBBBAAAEEEEAAAQQQQACB1gsQarR+CgCAAAIIIIAAAggggAACCCCAQD0FCDXqWTdGjQACCCCAAAIIIIAAAggggEDrBQg1Wj8FAEAAAQQQQAABBBBAAAEEEECgngKEGvWsG6NGAAEEEEAAAQQQQAABBBBAoPUChBqtnwIAIIAAAggggAACCCCAAAIIIFBPAUKNetaNUSOAAAIIIIAAAggggAACCCDQegFCjdZPAQAQQAABBBBAAAEEEEAAAQQQqKcAoUY968aoEUAAAQQQQAABBBBAAAEEEGi9AKFG66cAAAgggAACCCCAAAIIIIAAAgjUU4BQo551Y9QIIIAAAggggAACCCCAAAIItF6AUKP1UwAABBBAAAEEEEAAAQQQQAABBOop8P8DqU0PEAqYA9oAAAAASUVORK5CYII=",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"bio.plot_history_single_bin(bin_address=2, title_prefix=\"The transient separation of `A` and `B` happens at other bins, too...\")"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "caebb743-d170-4c66-837f-00bf2c55e9ce",
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3 (ipykernel)",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.9.13"
}
},
"nbformat": 4,
"nbformat_minor": 5
}