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"metadata": {},
"source": [
"## Exploring reaching equilibrium\n",
"\n",
"The system starts out with a pulse in bins near the *left* and the *right* endpoints"
]
},
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"cell_type": "markdown",
"id": "ccbea275-9f07-4710-993f-033fa0389ebd",
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"### TAGS : \"diffusion 1D\", \"basic\""
]
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"execution_count": 1,
"id": "bab846af-d93d-412f-9991-b06f18fefd25",
"metadata": {},
"outputs": [],
"source": [
"LAST_REVISED = \"May 3, 2025\"\n",
"LIFE123_VERSION = \"1.0.0rc3\" # Library version this experiment is based on"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "c68d686a-b4ff-44e0-8f8e-fece942ce0d6",
"metadata": {},
"outputs": [],
"source": [
"#import set_path # Using MyBinder? Uncomment this before running the next cell!"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "df1db590-8dfa-4988-95be-95d8f8364cb8",
"metadata": {
"tags": []
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"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, check_version"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "76903149-cd6c-4384-ace1-ce666b5abc01",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"OK\n"
]
}
],
"source": [
"check_version(LIFE123_VERSION)"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "7dfef591-2320-4462-911b-09c9dc6e6532",
"metadata": {},
"outputs": [],
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{
"cell_type": "code",
"execution_count": 5,
"id": "99ab76d6",
"metadata": {
"tags": []
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"outputs": [
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"name": "stdout",
"output_type": "stream",
"text": [
"SYSTEM STATE at Time t = 0:\n",
"9 bins and 1 chemical species:\n"
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"# Initialize the system\n",
"chem_data = ChemData(names=\"A\", diffusion_rates=0.1)\n",
"bio = BioSim1D(n_bins=9, chem_data=chem_data)\n",
"\n",
"# Start out with a pulse in bins near the *left* and the *right* endpoints. \n",
"# A total of 20 \"units of concentration\" is injected\n",
"bio.inject_conc_to_bin(chem_label=\"A\", bin_address=2, delta_conc=10.)\n",
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},
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}
],
"source": [
"# Visualize the system's initial state\n",
"bio.visualize_system(title_prefix=\"Diffusion\")"
]
},
{
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"execution_count": 8,
"id": "8d2b5f45-6b23-460b-83d4-9e8f00db93c0",
"metadata": {
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},
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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Show as heatmap\n",
"bio.system_heatmaps(title_prefix=\"Diffusion\")"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "42441f0e-8f3d-42d7-9a52-4ffc7acaab1c",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "markdown",
"id": "4ecbe3fb-93dd-4fe5-bda6-b39a7deebf64",
"metadata": {},
"source": [
"# Start the simulation steps"
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "972cbe64",
"metadata": {
"tags": []
},
"outputs": [],
"source": [
"delta_time = 3."
]
},
{
"cell_type": "code",
"execution_count": 10,
"id": "ace251be",
"metadata": {
"lines_to_next_cell": 2,
"scrolled": true,
"tags": []
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"\n",
"After Delta time 3.0. TOTAL TIME 3.0000000000000013 (30 steps taken):\n",
"SYSTEM STATE at Time t = 3:\n",
"[[0.27757451 1.74303541 5.96050983 1.76527256 0.5072154 1.76527256\n",
" 5.96050983 1.74303541 0.27757451]]\n"
]
},
{
"data": {
"application/vnd.plotly.v1+json": {
"config": {
"plotlyServerURL": "https://plot.ly"
},
"data": [
{
"hovertemplate": "Bin number=%{x}
[A]=%{y}",
"legendgroup": "",
"line": {
"color": "darkturquoise",
"dash": "solid"
},
"marker": {
"symbol": "circle"
},
"mode": "lines",
"name": "",
"orientation": "v",
"showlegend": false,
"type": "scatter",
"x": [
0,
1,
2,
3,
4,
5,
6,
7,
8
],
"xaxis": "x",
"y": [
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1.74303540697427,
5.960509831179085,
1.7652725571491619,
0.5072153957637419,
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5.960509831179085,
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0.2775745068156102
],
"yaxis": "y"
}
],
"layout": {
"autosize": true,
"legend": {
"tracegroupgap": 0
},
"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": {
"color": "#E5ECF6",
"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": [
[
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"#0d0887"
],
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],
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],
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]
],
"type": "contour"
}
],
"contourcarpet": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"type": "contourcarpet"
}
],
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gAAEIQAACEKgSAQS5StPmXCEAAQhAAAIQgAAECgkgyIWIKIAABCAAAQhAAAIQqBIBBLlK0+ZcIQABCEAAAhCAAAQKCSDIhYgogAAEIAABCEAAAhCoEgEEuUrT5lwhAAEIQAACEIBAiwQmTpsV3bB4ea/VBw/bLzp3+kktJpZ3GYJc3tnQGQQgAAEIQAACECgFgT0OHB8N6N8vWjz//F79jJkwPTr52NHR0CGDS9GnqgkEWUWSHAhAAAIQgAAEILAJEnA7xytW/rGPHOed6rDRp0Tr1j9e+6esUM+86Iro+ht/FX3imEOjM867rGf5XbfM6RW1dNnKaMLkc3qeyxPzdmNGkNtNmHwIQAACEIAABCBgmIDbPR4/ZkQ06YSjGp6Fk+N9Br+255KLrFg7QZ4zb1GUvizD7UC7x7zZ02r/O3fBTTV5nj3jtJ5daZcz8fgjo10G7tAxighyx1BzIAhAAAIQgAAEIGCLwOo1D0Ujx03pJax5Z5Ds+mZ3g51cJ7Kb7CCnL9NwQnzxpdf27E47Yd7vTYMKZbzdFBHkdhMmHwIQgAAEIAABCBgl0Kwg58mvO2W3q3zIQfvXhLeeILsd40SsnVBPPfXoaOyo4V0lhiAH4n/g0acDE/yXb73V5tHWW74oeuLpf0ZPPPWsfwArzBDYedsto268xswA2kQaZc6byCALToM5M+d2E3CvsXY8mpFWBLkd5A1nOnnZqf8Whs/Ar/UH1z9TW7BsySK/hYarhxwwotb9wAFbGT4Lv9bXrHuqtuC2Wxf6LTRc/ZZ3jKx1/7LN/2H4LPxaf/LZF1d2zlV8P1fx63bVvj+3S5DdZQ9rH1mf+yE9d2lF8nAfrGvlEov0DnJ6x9nvK5q2mh3kQJ4IciBAA8sRZANDErSIIAsgGohI5owgGxhWQIvJ120EOQBiamlymUXeXSnch+6Sa4yb+ZCeu4tF9hrktCAnH9JbePlZPR/KS39Ir5Gsa852YwqCHEgTQQ4EaGA5gmxgSIIWEWQBRAMRCLKBIQlaRJAFEHMinJzeueq+Xv+SFln3D83c5q2RILuMRJKTA6XFHEFuz2zlqQiyHGnpAhHk0o2kLQ0hyG3BWrpQBLl0I2lLQwhyW7BWKpQd5MBxI8iBAA0sR5ANDEnQIoIsgGggAkE2MCRBiwiyAGLFIxDkwBcAghwI0MByBNnAkAQtIsgCiAYiEGQDQxK0iCALIFY8AkEOfAEgyIEADSxHkA0MSdAigiyAaCACQTYwJEGLCLIAYsUjEOTAFwCCHAjQwHIE2cCQBC0iyAKIBiIQZANDErSIIAsgVjwCQQ58ASDIgQANLEeQDQxJ0CKCLIBoIAJBNjAkQYsIsgBixSMQ5MAXAIIcCNDAcgTZwJAELSLIAogGIhBkA0MStIggCyBWPAJBDnwBIMiBAA0sR5ANDEnQIoIsgGggAkE2MCRBiwiyAGLFIxDkwBcAghwI0MByBNnAkAQtIsgCiAYiEGQDQxK0iCALIFY8AkEOfAEgyIEADSxHkA0MSdAigiyAaCACQTYwJEGLCLIAYsUjEOTAFwCCHAjQwHIE2cCQBC0iyAKIBiIQZANDErSIIAsgxhGbbbaZLswj6bnnnvOo1pciyIFMEeRAgAaWI8gGhiRoEUEWQDQQgSAbGJKgRQRZADGOeMELXqAL80j697//7VGtL0WQA5kiyIEADSxHkA0MSdAigiyAaCACQTYwJEGLCLIAYhzxwhe+UBfmkfSvf/3Lo1pfiiAHMkWQAwEaWI4gGxiSoEUEWQDRQASCbGBIghYRZAHEOOJFL3qRLswj6Z///KdHtb4UQQ5kiiAHAjSwHEE2MCRBiwiyAKKBCATZwJAELSLIAohxxOabb64L80h69tlnPar1pQhyIFMEORCggeUIsoEhCVpEkAUQDUQgyAaGJGgRQRZAjCNe/OIX68I8kv7xj394VOtLEeRApghyIEADyxFkA0MStIggCyAaiECQDQxJ0CKCLIAYR2yxxRa6MI+kZ555xqNaX4ogBzJFkAMBGliOIBsYkqBFBFkA0UAEgmxgSIIWEWQBxDjiJS95iS7MI+nvf/+7R7W+FEEOZIogBwI0sBxBNjAkQYsIsgCigQgE2cCQBC0iyAKIccSWW26pC/NIevrppz2q9aUIciBTBDkQoIHlCLKBIQlaRJAFEA1EIMgGhiRoEUEWQIwjttpqK12YR9JTTz3lUa0vRZADmSLIgQANLEeQDQxJ0CKCLIBoIAJBNjAkQYsIsgBiHPHSl75UF+aR9Le//c2jWl+KIAcyRZADARpYjiAbGJKgRQRZANFABIJsYEiCFhFkAcQ44mUve5kuzCPpySef9KjWlyLIgUwR5ECABpYjyAaGJGgRQRZANBCBIBsYkqBFBFkAMY7YeuutdWEeSU888YRHtb4UQQ5kiiAHAjSwHEE2MCRBiwiyAKKBCATZwJAELSLIAohxxMtf/nJdmEfSX//6V49qfSmCHMgUQQ4EaGA5gmxgSIIWEWQBRAMRCLKBIQlaRJAFEBHk557TYaxeEoK86c8cQd70Z+zOEEGu1pwHDujOJ/O7QXnNuo13A1i2ZFE3Dt+VYyLIOuz9+vXThXkkPf744x7V+lJ2kAOZIsiBAA0sR5ANDEnQIoIsgGgggh1kA0MStIggCyDGEdtss40uzCPpscce86jWlyLIgUwR5ECABpYjyAaGJGgRQRZANBCBIBsYkqBFBFkAMY54xSteoQvzSPrLX/7iUa0vRZADmSLIgQANLEeQDQxJ0CKCLIBoIAJBNjAkQYsIsgBiHLHtttvqwjySHn30UY9qfSmCHMgUQQ4EaGA5gmxgSIIWEWQBRAMRCLKBIQlaRJAFEOOIAQMG6MI8ktatW+dRrS9FkAOZIsiBAA0sR5ANDEnQIoIsgGggAkE2MCRBiwiyAGIcsd122+nCPJIeeeQRj2p9KYIcyBRBDgRoYDmCbGBIghYRZAFEAxEIsoEhCVpEkAUQ44jtt99eF+aR9PDDD3tU60sR5ECmCHIgQAPLEWQDQxK0iCALIBqIQJANDEnQIoIsgBhH7Ljjjrowj6S1a9d6VOtLEeRApghyIEADyxFkA0MStIggCyAaiECQDQxJ0CKCLIAYR+y00066MI+kBx980KNaX4ogBzJFkAMBGliOIBsYkqBFBFkA0UAEgmxgSIIWEWQBxDhi55131oV5JD3wwAMe1fpSBDmQKYIcCNDAcgTZwJAELSLIAogGIhBkA0MStIggCyDGEQMHDtSFeSStWbPGo1pfiiAHMkWQAwEaWI4gGxiSoEUEWQDRQASCbGBIghYRZAHEOOKVr3ylLswj6c9//rNHtb4UQQ5kiiAHAjSwHEE2MCRBiwiyAKKBCATZwJAELSLIAohxxC677KIL80havXq1R7W+FEEOZIogBwI0sBxBNjAkQYsIsgCigQgE2cCQBC0iyAKIccSuu+6qC/NIuv/++3tVz7zoimjOvEW9nttz0G7RvNnTPFKbL0WQm2eVW4kgBwI0sBxBNjAkQYsIsgCigQgE2cCQBC0iyAKIccRuu+2mC/NIuu+++/oI8vLfrmqbEGdbQ5A9hpVXiiAHAjSwHEE2MCRBiwiyAKKBCATZwJAELSLIAohxxKte9SpdmEfSvffeiyB78CpdKYJcupHIG0KQ5UhLGYggl3Is8qYQZDnSUgYiyLqxvPrVr9aFeST9z//8Tx9BTl9i0c7LK9yB2UH2GBY7yFH04PpnahiWLel9HVAgxlIvR5BLPR5ZcwiyDGWpgxDkUo9H1hyCLEMZveY1r9GFeST96U9/ali9x4Hjo/FjRkSTTjjKI7X5UgS5eVa5lewgBwI0sBxBNjAkQYsIsgCigQgE2cCQBC0iyAKIccTuu++uC/NIuueeexpWuw/ttfOaZATZY1h5pQhyIEADyxFkA0MStIggCyAaiECQDQxJ0CKCLIAYRwwaNEgX5pG0atUqBNmDV+lKEeTSjUTeEIIsR1rKQAS5lGORN4Ugy5GWMhBB1o3lda97nS7MI+kPf/hDr+oxE6b33MFi9ZqHopHjpkRTTz06GjtquEdq86XsIDfPKrcSQQ4EaGA5gmxgSIIWEWQBRAMRCLKBIQlaRJAFEOOI17/+9bowj6S77767jyDfuer5W7+18/pjd2AE2WNYeaUIciBAA8sRZANDErSIIAsgGohAkA0MSdAigiyAGEfsscceujCPpLvuusujWl+KIAcyRZADARpYjiAbGJKgRQRZANFABIJsYEiCFhFkAcQ4Ys8999SFeSTdeeedHtX6UgQ5kCmCHAjQwHIE2cCQBC0iyAKIBiIQZANDErSIIAsgxhGDBw/WhXkkrVy50qNaX4ogBzJFkAMBGliOIBsYkqBFBFkA0UAEgmxgSIIWEWQBxDjijW98oy7MI+l3v/udR7W+FEEOZIogBwI0sBxBNjAkQYsIsgCigQgE2cCQBC0iyAKIccRee+2lC/NIuuOOOzyq9aUIciBTBDkQoIHlCLKBIQlaRJAFEA1EIMgGhiRoEUEWQIwj9t57b12YR9JvfvMbj2p9KYIcyBRBDgRoYDmCbGBIghYRZAFEAxEIsoEhCVpEkAUQ44h99tlHF+aRtGLFCo9qfSmCHMgUQQ4EaGA5gmxgSIIWEWQBRAMRCLKBIQlaRJAFEOOIfffdVxfmkXT77bd7VOtLEeRApghyIEADyxFkA0MStIggCyAaiECQDQxJ0CKCLIAYR+y33366MI+k5cuXe1TrSxHkQKYIciBAA8sRZANDErSIIAsgGohAkA0MSdAigiyAGEcMGTJEF+aRtGzZMo9qfSmCHMgUQQ4EaGA5gmxgSIIWEWQBRAMRCLKBIQlaRJAFEOOIt7zlLbowj6TbbrvNo1pfiiAHMkWQAwEaWI4gGxiSoEUEWQDRQASCbGBIghYRZAHEOOKtb32rLswj6de//rVHtb4UQQ5kiiAHAjSwHEE2MCRBiwiyAKKBCATZwJAELSLIAohxxP77768L80j61a9+5VGtL0WQA5kiyIEADSxHkA0MSdAigiyAaCACQTYwJEGLCLIAYhzxtre9TRfmkfTLX/7So1pfiiAHMkWQAwEaWI4gGxiSoEUEWQDRQASCbGBIghYRZAHEOGLo0KG6MI+kpUuXelTrSxHkQKYIciBAA8sRZANDErSIIAsgGohAkA0MSdAigiyAGEcccMABujCPpCVLlnhU60sR5ECmCHIgQAPLEWQDQxK0iCALIBqIQJANDEnQIoIsgBhHvOMd79CFeSTdeuutHtX6UgQ5kCmCHAjQwHIE2cCQBC0iyAKIBiIQZANDErSIIAsgxhHDhg3ThXkkLV682KNaX4ogBzJFkAMBGliOIBsYkqBFBFkA0UAEgmxgSIIWEWQBxDjinQceqAvzSLr5lls8qvWlCHIgUwQ5EKCB5QiygSEJWkSQBRANRCDIBoYkaBFBFkCMI971rnfpwjySfv7zn3tU60sR5ECmCHIgQAPLEWQDQxK0iCALIBqIQJANDEnQIoIsgBhHDB8+XBfmkXTTTTd5VOtLEeRApghyIEADyxFkA0MStIggCyAaiECQDQxJ0CKCLIAYRxz07nfrwjySbvzZzzyq9aUIciBTBDkQoIHlCLKBIQlaRJAFEA1EIMgGhiRoEUEWQIwjDj7oIF2YR9INN97oUa0vRZADmSLIgQANLEeQDQxJ0CKCLIBoIAJBNjAkQYsIsgBiHPGe97xHF+aR9NOf/tSjWl+KIAcyRZADARpYjiAbGJKgRQRZANFABIJsYEiCFhFkAcQ4YsSIEbowj6RFixbVrZ44bVZ0w+Ll0V23zPFI9CtFkP149alGkAMBGliOIBsYkqBFBFkA0UAEgmxgSIIWEWQBxDjivSNH6sI8kn6ycGFutZPjFSv/GK1b/ziC7MGz46UIcseRd/yACHLHkXflgAhyV7B3/KAIcseRd+WACLIO+/ve+15dmEfSj3/ykz7VMy+6Inpg7broiGzepJwAACAASURBVPcNiyZMPgdB9uDZ8VIEuePIO35ABLnjyLtyQAS5K9g7flAEuePIu3JABFmH/ZD3vU8X5pF0/Y9/3KvayfHy366K5s2eFi1dthJB9mDZlVIEuSvYO3pQBLmjuLt2MAS5a+g7emAEuaO4u3YwBFmH/v3vf78uzCPpuuuu66meu+Cm6OJLr40Wzz+/9hyC7AGyW6UIcrfId+64CHLnWHfzSAhyN+l37tgIcudYd/NICLKO/mGHHqoL80i65tpre6qTD+XlLV94+VnRLgN38EhurpQP6TXHqW4VghwI0MByBNnAkAQtIsgCiAYiEGQDQxK0iCALIMYRow47TBfmkbTgmmvqVrOD7AGyW6UIcrfId+64CHLnWHfzSAhyN+l37tgIcudYd/NICLKO/uGjRunCPJKuXrAAQfbgVbpSBLl0I5E3hCDLkZYyEEEu5VjkTSHIcqSlDESQdWMZffjhujCPpPlXX40ge/AqXSmCXLqRyBtCkOVISxmIIJdyLPKmEGQ50lIGIsi6sXzgiCN0YR5JP7rqKo9qfSnXIAcyRZADARpYjiAbGJKgRQRZANFABIJsYEiCFhFkAcQ44sgPfEAX5pF05Y9+5FGtL0WQA5kiyIEADSxHkA0MSdAigiyAaCACQTYwJEGLCLIAYhzxwSOP1IV5JP3wyis9qvWlCHIgUwQ5EKCB5QiygSEJWkSQBRANRCDIBoYkaBFBFkCMI8Z88IO6MI+keT/8oUe1vhRBDmSKIAcCNLAcQTYwJEGLCLIAooEIBNnAkAQtIsgCiHHE2KOO0oV5JM294gqPan0pghzIFEEOBGhgOYJsYEiCFhFkAUQDEQiygSEJWkSQBRDjiA+NHasL80j6wdy5HtX6UgQ5kCmCHAjQwHIE2cCQBC0iyAKIBiIQZANDErSIIAsgxhHjPvQhXZhH0uU/+IFHtb4UQQ5kiiAHAjSwHEE2MCRBiwiyAKKBCATZwJAELSLIAohxxIfHjdOFeSR9//LLPar1pQhyIFMEORCggeUIsoEhCVpEkAUQDUQgyAaGJGgRQRZAjCOO/vCHdWEeSZd9//se1fpSBLkJpqvXPBSNHDcl2nPQbtG82dN6rQgR5GuuuTa68MILe/JuuOGndbtZs2ZN9NGPfqzXv6frjzpqbLR+/fo+688440vRkCFDomXLlkVTp36+59+POGJ0NGHChCbOvnfJg+ufqT2xbMki77X1Ftx///3R9df/ODrxxE82zLzkkjnRU0891afmkEPeF+266669nl+4cFF07733FmY2cxJKQZ48eXJ01lln9TnsZpttVreVVatWRbvvvnvt3++5555o0KBBvWpHbfgzoFen/uLQ4Rv+6tGCBn+is5lzXrNuI+fbbl3YTHlTNW7OP/7xT6JPfvKEhvVz5nwvd87ve997o379+kU/+EH+dWlFuUVNhgrywoULo29/+zs9h7nqqsb38DziiL73Fv3c506P9tlnn1rGzJkzo1//+rba/3/1q18dzZix8XWTPU5ywHRN0bkm//7ksy+u7JwHDtiqWUx166y9n6v4dXun/lu0NGer35933nbLls630aKPHHOMPLOZwO9demkzZW2rQZCbQDvzoo2fpJwzb1G08PKzol0G7tCzqlVBToT3kku+Gw0cODCaPXt2tHLlndGsWRfkduTerO5x2GGH1v73i1/8UvTwww/XrXdC/LWvnRtdccXcKDlWIsvZ/24CQU+JUpAfe+yx6PLLn7/GqEiQs3064fr5z2/e8IPD+F7/5OR47dq1Ncnyzcxj0Q5BbiTE6R6WLl0abbfddj1S/Oijj0Z33313NHTo0FpZ8g16ypQpGwRqhs8oG9YqBdnNOS21viLr5nzzzbdE48d/JLfnX/ziF9ETTzwRjRgxIuj8QwT5wQcfjE466eTa+3GnnXaK5syZE/3+93f3SG1eY06Q00KcrnESfNVV8zcI97fiOU+J3vCG129g0Pu1nqyZPHlK9M53HhiNHDnSi4FSkK3NWSnIVt7PCkG29nW7FUG2/P25HYI8/iP5X3u9vti0UDzne99rYZVuCYLcBMsxE6ZHJx87OrrgO/Oj/d40KJp0wvO3PGlVkLNCnH1DFrXlhHnuhk94OgHOe7hv1gcddFBNqJPd4+yO89gNn0xNhLvoeMm/KwU5yfzd71ZGS5Ys8ZbZK6/8UU0c3/jGwT3tL126UZacTDSzK93MeXdTkJ977rkoLb+zZs2K3Ny23XbbWutud/nGG2/cIGcnNXMqTdcoBTk56MqVbs5LC3eQs03+aMNfU3JzHjz4+Tmna77xjYuiD31obLTNNts0fX55hSGCnBXirDD7CrIT3rQQZ4U5nbdixYrIMUhk2geCUpCtzbkbgtzt97NCkK193W5FkC1/f26HIH+0zg/mPl9rWqm9ZMNGQzcfCHIBfXd5xdEnnxktnn9+NHfBTdHFl15b+//Jo1VBdjvA7vGFLzx/2cPBB78nSnZ5i14UjXac07vHSY4TZvfrebdj7WQ82V0uOk7238siyHm7x06OnZgceeQHomYv22jm/NshyOnjNtp9yn5DTXaMkzXu392lNf37969Fuv+fyHMz51avpiyC3KndY8chRJDd5RDuMWnSpB6kjXaIXVH2Eov0bvJxx318w7+P7tkRdhL85S+fuWFXue9lG63uHrseyiLI3ZizUpCtvJ+7Lcjd+LrdiiBb/v7cDkH+2Ec/GvLtpOW1373kkpbXKhYiyAUUk8srkl3jPQ4c3+cyi+ee+7f3LJywbr/99n0E+cQTTyzc1S26RCK9e5w05oTa/Zo6uU651WuQN9vsBbXIBQuu9j7negta2UHO7h67jNtvv73ncgulII8adXit9WZ/jeoDxu0Au0f2uuIkw/37I4880ueSCtdLcu1xeoe5KK/Z3px4u8fVV89vdklhXSs7yJ3aPXbNH3746No5/PWvjxeeS7bASep22w3oI8jHHXdsU5c9uB3o6667vkeAnTyn1yaCnFzCkRw/ZPfYZbz85f0qO+cqvp+r+HW7it+fvb+AFSw47thj1ZFN5X37O89/pqOpBeIiBLkA6LDRp0SXXXB6z3XHE6fNinbeccM3wvgyi07vICdyXE+k8y69yNtRdrvVrUhyGXaQszLsRph8KC9vnOPGfSjo1+/KHeS+YrXxQ3tFu8jpdckucSLI6Q/lZS/BaPXrRRl2kJ1Q3377irrXHi9atPGDoqHXHieMOr2DnJ1Nese52R3kbJ3vvMuwg9ytOSt2kK29n7u5g9ytr9ud3EEuw/fnduwgf/y443y/tEjqv/Xtb0tyWg1BkBuQW7psZTRh8jl9Kgb079dzmUWrgtzKNU5Fbz7XqLubRfba4rzLMfJ2sJt5EZVBkN3dLPbdd99e1x5ne1fuIHdbkNPnNn/+/NpvHpIP6RVd09jMTPNqyiDI7m4W++67T+61x8kHwhTXHisEuZVrkBsJcjPXIDe6LrnZuZdBkLs1524Jcjffz90U5G593W5FkC1/f26HIB//8Y83+yVFWvfNb238kHK3HghyA/Lu8ooH1q6Lzp3e+wNQ7jKL2TNOi4YOGRy1KshFn5JNPliXvU1bo2uU631wL5vVjGjXw9JJQXbXFN9xxx29PryXtwuR12tZBdndleLss8/uuQ1b9q4UToDdjnDejnJy/XF6xzjvLheLFy+ORo/eeLlAq49OCrK7C8Udd/yu14f3Or2r6DiF7CAX3cUiuUQiuc7Yya17JHedcNcwr1p1T88H7Zq5i0Xo7rE7ficFuWxzVgiytfdzJwS5bF+3WxFky9+f2yHIE44/vtVvJUHrZn/zm0HrQxcjyA0IOhGeeurR0dhRw3tVucss3MOJc6uC7NY3us9iVmrdhwbcF+PsI7nUokh6s8dq5lrnPDRKQc7eLsgdb6+99tqwO/r22qGzX2iT+gMOOKDh7rFbW1ZBTgQ4YZu9r3FWkLP3Wc0T5/R9kp2EJLvLIV8clIKcvf3Xxjm/MXr72zfOOStOSf0BBwzN3T1OrmVW7h67PkIE2a1vdB/krCAn/52eUfYDePXug+zWZIW61VkrBdnanBWCbO39rBBka1+3WxFky9+f2yHIn2jhbya0+jUpve7iDZ+d6uYDQQ6kHyLIgYfuynKlIHflBFo4aDsvsWihnY4sUQpyRxoWHCRUkAUtdDxCKcgdb77FA/KX9FoEZ2wZf0lPN7BPntD4jzvpjtQ76RsXXdSu6KZyEeSmMNUvQpADARpYjiAbGJKgRQRZANFABIJsYEiCFhFkAcQ44sRPNv4rt7oj9U668BvfaFd0U7kIclOYEOSEADvIgS8YI8vZQTYyqMA22UEOBGhkefJ+VlxiYeSUIwRZN6mTNtx+thuPWRde2I3D9hwTQQ7Ezw5yIEADy9lBNjAkQYvsIAsgGohgB9nAkAQtIsgCiHHEp07W/qXWZjv7+gUbP+/VrQeCHEgeQQ4EaGA5gmxgSIIWEWQBRAMRCLKBIQlaRJAFEOOIUz51si7MI+n8r1/gUa0vRZADmSLIgQANLEeQDQxJ0CKCLIBoIAJBNjAkQYsIsgBiHHHqKafowjySzjv/fI9qfSmCHMgUQQ4EaGA5gmxgSIIWEWQBRAMRCLKBIQlaRJAFEOOIiaeeqgvzSDr3vPM8qvWlCHIgUwQ5EKCB5QiygSEJWkSQBRANRCDIBoYkaBFBFkCMI077z4m6MI+kc752bq9q98fb5sxb1PPc+DEjokknHOWR6FeKIPvx6lONIAcCNLAcQTYwJEGLCLIAooEIBNnAkAQtIsgCiHHEp0/7T12YR9LZ53ytV/WYCdOjebOn9TxX74+5eRyiYSmCHEgSQQ4EaGA5gmxgSIIWEWQBRAMRCLKBIQlaRJAFEOOISZ/+tC7MI2nm2Wc3rHbCvN+bBrVtFxlB9hhWXimCHAjQwHIE2cCQBC0iyAKIBiIQZANDErSIIAsgxhGTJ03ShXkkzZg5s2716jUPRSPHTYmmnnp0NHbUcI/U5ksR5OZZ5VYiyIEADSxHkA0MSdAigiyAaCACQTYwJEGLCLIAYhzxmSmTdWEeSV89a0Zutbu0wj24BtkDZjdKEeRuUO/sMRHkzvLu1tEQ5G6R7+xxEeTO8u7W0RBkHfnPfmaKLswj6StfPath9bDRp0SHHLQ/l1h4MO1oKYLcUdxdORiC3BXsHT8ogtxx5F05IILcFewdPyiCrEN++mc/owvzSDrzK19tWD1x2sa/tHfu9Pb8pT8usfAYVl4pghwI0MByBNnAkAQtIsgCiAYiEGQDQxK0iCALIMYRUz93ui7MI+mML5/ZqzrvLhbtvMwCQfYYFoIcRQ+uf6aGYdmS5+9FGIiw9MsR5NKPSNIggizBWPoQBLn0I5I0iCBLMNZCPj/1c7owj6QvnfHlPoJ856r7ep5rpxy7gyDIHsNCkBHkwJeLmeVr1j1V6/W2Wxea6Tm0UQQ5lKCN9QiyjTmFdokghxJ8fv0XPj9VF+aR9MUvneFRrS9FkAOZcolFIEADy9lBNjAkQYsIsgCigQgE2cCQBC0iyAKIccS0L3xeF+aRNP2LX/Ko1pciyIFMEeRAgAaWI8gGhiRoEUEWQDQQgSAbGJKgRQRZADGOmP5fz//1Ol1qcdK0/5peXNTGCgQ5EC6CHAjQwHIE2cCQBC0iyAKIBiIQZANDErSIIAsgxhFfnP5fujCPpC9M685xkxYRZI9h5ZUiyIEADSxHkA0MSdAigiyAaCACQTYwJEGLCLIAYhzxpS92Zyf381/ozs41gix67SDIIpAljkGQSzwcYWsIshBmiaMQ5BIPR9gagqyDecYZ3bkWeOrU7lz7jCCLXjsIsghkiWMQ5BIPR9gagiyEWeIoBLnEwxG2hiDrYJ755e7cTeL0z3Xn7hkIsui1gyCLQJY4BkEu8XCErSHIQpgljkKQSzwcYWsIsg7mV87sfT9iXXLjpM+e3p37LyPIogkjyCKQJY5BkEs8HGFrCLIQZomjEOQSD0fYGoKsg/nVr35FF+aR9JnPfNajWl/Kh/QCmSLIgQANLEeQDQxJ0CKCLIBoIAJBNjAkQYsIsgBiHDHjrK/qwjySJk/5jEe1vhRBDmSKIAcCNLAcQTYwJEGLCLIAooEIBNnAkAQtIsgCiHHEzBln6cI8kiZNnuJRrS9FkAOZIsiBAA0sR5ANDEnQIoIsgGggAkE2MCRBiwiyAGIccfbZM3VhHkmf/vQkj2p9KYIcyBRBDgRoYDmCbGBIghYRZAFEAxEIsoEhCVpEkAUQ44hzzjlbF+aRdNppn/ao1pciyIFMEeRAgAaWI8gGhiRoEUEWQDQQgSAbGJKgRQRZADGOOPdr5+jCPJIm/udpHtX6UgQ5kCmCHAjQwHIE2cCQBC0iyAKIBiIQZANDErSIIAsgxhHnnXeuLswj6dRTJ3pU60sR5ECmCHIgQAPLEWQDQxK0iCALIBqIQJANDEnQIoIsgBhHnH/+ebowj6RTTjnVo1pfiiAHMkWQAwEaWI4gGxiSoEUEWQDRQASCbGBIghYRZAHEOOLrXz9fF+aR9KlPneJRrS9FkAOZIsiBAA0sR5ANDEnQIoIsgGggAkE2MCRBiwiyAGIcMWvWBbowj6STTjrZo1pfiiAHMkWQAwEaWI4gGxiSoEUEWQDRQASCbGBIghYRZAHEOOLCC2fpwjySTjzxJI9qfSmCHMgUQQ4EaGA5gmxgSIIWEWQBRAMRCLKBIQlaRJAFEOOIiy76hi7MI+mEEz7pUa0vRZADmSLIgQANLEeQDQxJ0CKCLIBoIAJBNjAkQYsIsgBiHHHxxRfpwjySPvGJEzyq9aUIciBTBDkQoIHlCLKBIQlaRJAFEA1EIMgGhiRoEUEWQIwjvvnN2bowj6Tjj5/gUa0vRZADmSLIgQANLEeQDQxJ0CKCLIBoIAJBNjAkQYsIsgBiHPGtb31TF+aR9PGPH+9RrS9FkAOZIsiBAA0sR5ANDEnQIoIsgGggAkE2MCRBiwiyAGIc8Z3vfFsX5pF07LHHeVTrSxHkQKYIciBAA8sRZANDErSIIAsgGohAkA0MSdAigiyAGEd897vf0YV5JH3sY8f2qp44bVZ0w+LlPc+NHzMimnTCUR6JfqUIsh+vPtUIciBAA8sRZANDErSIIAsgGohAkA0MSdAigiyAGEdccsl3dWEeSR/96Md6VY+ZMD2aN3ta7bnVax6KRo6bEs2ecVo0dMhgj9TmSxHk5lnlViLIgQANLEeQDQxJ0CKCLIBoIAJBNjAkQYsIsgBiHPG9783RhXkkfeQj4xtWDxt9SvSJYw6Nxo4a7pHafCmC3DwrBHkDgQfXP1PjsGzJokBydpYjyHZmFdIpghxCz85aBNnOrEI6RZBD6PVee+ml39OFeSQdc8xHGlbvceB4dpA9eHa8lB3kjiPv+AER5I4j78oBEeSuYO/4QRHkjiPvygERZB3273//Ml2YR9KHP3x03Wp3PfIDax/tueTCI7bpUnaQm0aVX4ggBwI0sBxBNjAkQYsIsgCigQgE2cCQBC0iyAKIccTll39fF+aRNG7ch3OrnRyvWPnHaPH88z3S/EsRZH9mvVYgyIEADSxHkA0MSdAigiyAaCACQTYwJEGLCLIAYhwxd+4PdGEeSWPHfqhPdafk2B0YQfYYVl4pghwI0MByBNnAkAQtIsgCiAYiEGQDQxK0iCALIMYRV1wxVxfmkXTUUWN7Vbu7WLhHcicLj6iWShHklrA9vwhBDgRoYDmCbGBIghYRZAFEAxEIsoEhCVpEkAUQ44gf/nCeLswj6YMfHNNTndzWLbt8QP9+bbvUAkH2GFZeKYIcCNDAcgTZwJAELSLIAogGIhBkA0MStIggCyDGEVde+UNdmEfSkUd+0KNaX4ogBzJFkAMBGliOIBsYkqBFBFkA0UAEgmxgSIIWEWQBxDjiRz+6UhfmkfSBDxzpUa0vRZADmSLIgQANLEeQDQxJ0CKCLIBoIAJBNjAkQYsIsgBiHDF//lW6MI+k0aOP8KjWlyLIgUwR5ECABpYjyAaGJGgRQRZANBCBIBsYkqBFBFkAMY64+ur5ujCPpMMPH+1RrS9FkAOZIsiBAA0sR5ANDEnQIoIsgGggAkE2MCRBiwiyAGIccc01C3RhHkmHHTbKo1pfiiAHMkWQAwEaWI4gGxiSoEUEWQDRQASCbGBIghYRZAHEOOK6667RhXkkvf/9h3lU60sR5ECmCHIgQAPLEWQDQxK0iCALIBqIQJANDEnQIoIsgBhHXH/9dbowj6RDDnm/R7W+FEEOZIogBwI0sBxBNjAkQYsIsgCigQgE2cCQBC0iyAKIccRPfnK9Lswj6b3vPcSjWl+KIAcyRZADARpYjiAbGJKgRQRZANFABIJsYEiCFhFkAcQ4YuHCn+jCPJJGjnyvR7W+FEEOZIogBwI0sBxBNjAkQYsIsgCigQgE2cCQBC0iyAKIccRPf7pQF+aR9J73jPSo1pciyIFMEeRAgAaWI8gGhiRoEUEWQDQQgSAbGJKgRQRZADGOuOGGRbowj6SDDx7hUa0vRZADmSLIgQANLEeQDQxJ0CKCLIBoIAJBNjAkQYsIsgBiHPGzn92gC/NIeve7D/ao1pciyIFMEeRAgAaWI8gGhiRoEUEWQDQQgSAbGJKgRQRZADGOuOmmG3VhHknDhx/kUa0vRZADmSLIgQANLEeQDQxJ0CKCLIBoIAJBNjAkQYsIsgBiHHHzzTfpwjyS3vnO4R7V+lIEOZApghwI0MByBNnAkAQtIsgCiAYiEGQDQxK0iCALIMYRt9zyc12YR9KBB77Lo1pfiiAHMkWQAwEaWI4gGxiSoEUEWQDRQASCbGBIghYRZAHEOOLWW2/RhXkkveMdB3pU60sR5ECmCHIgQAPLEWQDQxK0iCALIBqIQJANDEnQIoIsgBhHLFmyWBfmkXTAAcM8qvWlCHIgUwQ5EKCB5QiygSEJWkSQBRANRCDIBoYkaBFBFkCMI37xiyW6MI+kt7/9AI9qfSmCHMgUQQ4EaGA5gmxgSIIWEWQBRAMRCLK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""
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"\n",
"After Delta time 3.0. TOTAL TIME 5.999999999999995 (30 steps taken):\n",
"SYSTEM STATE at Time t = 6:\n",
"[[0.73152765 2.1834153 4.18877184 2.28238941 1.22779161 2.28238941\n",
" 4.18877184 2.1834153 0.73152765]]\n"
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"After Delta time 3.0. TOTAL TIME 8.999999999999984 (30 steps taken):\n",
"SYSTEM STATE at Time t = 9:\n",
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"\n",
"After Delta time 3.0. TOTAL TIME 11.999999999999973 (30 steps taken):\n",
"SYSTEM STATE at Time t = 12:\n",
"[[1.40992642 2.21285813 2.88112821 2.46180799 2.06855851 2.46180799\n",
" 2.88112821 2.21285813 1.40992642]]\n"
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"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"application/vnd.plotly.v1+json": {
"config": {
"plotlyServerURL": "https://plot.ly"
},
"data": [
{
"colorbar": {
"len": 1.2,
"title": {
"text": "Conc."
},
"x": 1.02,
"y": 0.5
},
"colorscale": [
[
0,
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],
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0.09090909090909091,
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0.45454545454545453,
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0.5454545454545454,
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0.8181818181818182,
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],
[
0.9090909090909091,
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[
1,
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]
],
"hovertemplate": "Conc.: %{z}
Bin #: %{x}
CHEM: %{y}A",
"texttemplate": "%{z:.3g}",
"type": "heatmap",
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"\n",
"After Delta time 3.0. TOTAL TIME 14.999999999999963 (30 steps taken):\n",
"SYSTEM STATE at Time t = 15:\n",
"[[1.61375804 2.17517282 2.62918072 2.4582931 2.24719065 2.4582931\n",
" 2.62918072 2.17517282 1.61375804]]\n"
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CEIAABCAAAQh0EgEEuZOmzblCAAIQgAAEIAABCBQSQJALEbEAAhCAAAQgAAEIQKCTCCDInTRtzhUCEIAABCAAAQhAoJAAglyIiAUQgAAEIAABCEAAAp1EAEHupGlzrhCAAAQgAAEIQAAChQQQ5EJELIAABCAAAQhAAALtSWD4uOnJjl2P9Ti5OedPSiaOHdmeJ1znWSHIdYJiGQQgAAEIQAACEGgXAmvXbUymzLokGTV8SHLpvGk9TuvYEZOTe25f1i6n2tB5IMgNYSMEAQhAAAIQgAAEWpeAu3J8wuAX7ybH2TPavGV7MubM2d1PZ4V6/JR5yYD+B1c+vnrN+sp/jxt0VLJy6dwepRZdcW2ybOXNVetYI4kgW5sI/UAAAhCAAAQgAIFeJJBePV66cEYybOjgqkdK5djfcpEVayfId296IPHXuCvQk8ePTmZOnVCpfcHcJRV59q9Ku1xWonvxlINLI8jByAhAAAIQgAAEIACB1iWw4vrbkvmXLS/cRuGu+q7/+aYeIpvKdSq76RVkf5uGE2L3SJ9zwlwk49ZoIsjWJkI/EIAABCAAAQhAoBcJ1CvIefKbXlVOhbeaIG/dtrMi1qlQ33TNguTIgYf14lnFLY0gizy37vyDWCEsvucefZLDDnpe8tenn0m2P/LHsDCrzRPo0ydJ+h+0T/Lgrua+rsyDaZMGn7/Pc5Kka8i/f/LPbXJGnIZP4PC++yTbuj53nwFL2xHYd+89k+futWfy6ON/avq5DTh4n+jHrFdaEeTo6DunoBPkw/vu3REn/OCupyrnOXf2eR1xvvMWXF45z4H99m37892y48nKOb7mxOp70doJwg/v3Fg5nelTJrXTaVU9l8VLl3fkfDvpc7fTvi530vfd3hBk9wXBbXvIu4OF+5jbWuH2DytbLNIryNkrzq3yRZcryOKkEGQRoOE4gmx4OGJrCLII0Hg8nS+CbHxQDbSXfl1GkBuAl4mk2yzy7krh3nTn9hjX+yY9dxeL7B7kVJDdYd2e5A0b70vWrFrc3YX/Jr1asq6faWMVEOTGuHWnEGQRoOE4gmx4OGJrCLII0HgcQTY+IKE9BFmAVyXq5NR/9Ot7QA+Rrfc2b7UEOZXk9DZw7t++mCPI8edaekUEufQR9FoDCHKvoS29MIJc+gh6tQEEuVfxllocQS4Vf0cdnCvI4rgRZBGg4TiCbHg4YmsIsgjQeBxBNj4goT0EWYBHNIgAghyEa/fFCLII0HAcQTY8HLE1BFkEaDyOIBsfkNAegizAIxpEAEEOwoUgOwKd9m7pTnqjD3exEL8gGI1zFwujg4nQVnoHmk77usyb9CK8eChRkwCCLL5AuIIsAjQc5wqy4eGIrXEFWQRoPM4VZOMDEtrjCrIAj2gQAQQ5CBdXkLmCLL5gjMa5D7LRwURqiyvIkUAaLMMVZINDidiS+/sDvXUf5IhttmUpBFkcK1eQRYCG41xBNjwcsTWuIIsAjce5gmx8QEJ7XEEW4BENIoAgB+HiCjJXkMUXjNE4V5CNDiZSW1xBjgTSYBmuIBscSsSWuIIcEWZgKQQ5EFh2OVeQRYCG41xBNjwcsTWuIIsAjce5gmx8QEJ7XEEW4BENIoAgB+HiCjJXkMUXjNE4V5CNDiZSW1xBjgTSYBmuIBscSsSWuIIcEWZgKQQ5EBhXkLnNm/iSMRlHkE2OJVpTCHI0lOYKIcjmRhK1od4S5D59+kTts95izzzzTL1LS1+HIIsjYIuFCNBwnC0WhocjtsYWCxGg8ThbLIwPSGiPLRYCPC+6xx57xCkUWOXpp5/ukbhg7pJk9Zr13c9NHj86mTl1Qs2qm7dsT8acObt7zU3XLEiOHHhYYCfFyxHkYkY1VyDIIkDDcQTZ8HDE1hBkEaDxOIJsfEBCewiyAM+L7rnnnnEKBVb561//2iMxfsq8ZOXSuZXnUvFdunBGMmzo4NzKa9dtTKbMuiSptSawparLEWSRJIIsAjQcR5AND0dsDUEWARqPI8jGByS0hyAL8Lzoc57znDiFAqv85S9/qZkYPm56cs5ZpyUTx47MXeeEeuyYYVU/HthOzeUIskgTQRYBGo4jyIaHI7aGIIsAjccRZOMDEtpDkAV4XnSvvfaKUyiwyp///OeaiWNHTK55ddh9vF/fA5Idux6r1HH/v2bV4sAu6luOINfHqeoqBFkEaDiOIBsejtgagiwCNB5HkI0PSGgPQRbgedHnPve5cQoFVvnTn/5UNeH2I2/dtrN7y0V2Yd4WDHdF2T3SbRqB7dRcjiCLNBFkEaDhOIJseDhiawiyCNB4HEE2PiChPQRZgOdF99577ziFAqs89dRTuQknxxs23lfzanAqyP6b8lZcf1ty5dU39spVZAQ5cLjZ5QiyCNBwHEE2PByxNQRZBGg8jiAbH5DQHoIswPOiz3ve8+IUCqzyxz/+cbdEPXKchrJbMBDkwAE0czmC3EzazT0Wgtxc3s08GoLcTNrNPxaC3HzmzToighyH9D777BOnUGCVP/zhDz0SRVsknBD7t37LbsNwb+o75eSTCm8NF9hmZTlXkBuh5mUQZBGg4TiCbHg4YmsIsgjQeBxBNj4goT0EWYDnRffdd984hQKrPPnkk92J7P2M0w/4b7zLCrJb46T67k0PVJaPGj4kuXTetMAu6luOINfHqeoqBFkEaDiOIBsejtgagiwCNB5HkI0PSGgPQRbgedH99tsvTqHAKk888URgorzlCLLIHkEWARqOI8iGhyO2hiCLAI3HEWTjAxLaQ5AFeF50//33j1MosMrjjz8emChvOYIsskeQRYCG4wiy4eGIrSHIIkDjcQTZ+ICE9hBkAZ4Xff7znx+nUGCV3//+94GJ8pYjyCJ7BFkEaDiOIBsejtgagiwCNB5HkI0PSGgPQRbgedEXvOAFcQoFVvnd734XmChvOYIsskeQRYCG4wiy4eGIrSHIIkDjcQTZ+ICE9hBkAR6CHAQPQQ7CtftiBFkEaDiOIBsejtgagiwCNB5HkI0PSGgPQRbgedEDDjggTqHAKo899uyfiG6FB4IsTglBFgEajiPIhocjtoYgiwCNxxFk4wMS2kOQBXhe9MADD4xTKLDKo48+GpgobzmCLLJHkEWAhuMIsuHhiK0hyCJA43EE2fiAhPYQZAGeFz3ooIPiFAqs8sgjjwQmyluOIIvsEWQRoOE4gmx4OGJrCLII0HgcQTY+IKE9BFmA50UPPvjgOIUCq+zcuTMwUd5yBFlkjyCLAA3HEWTDwxFbQ5BFgMbjCLLxAQntIcgCPC/ar1+/OIUCq+zYsSMwUd5yBFlkjyCLAA3HEWTDwxFbQ5BFgMbjCLLxAQntIcgCPC96yCGHxCkUWOXhhx8OTJS3HEEW2SPIIkDDcQTZ8HDE1hBkEaDxOIJsfEBCewiyAM+LHnrooXEKBVZ56KGHAhPlLUeQRfYIsgjQcBxBNjwcsTUEWQRoPI4gGx+Q0B6CLMDzov37949TKLDKtm3bAhPlLUeQRfYIsgjQcBxBNjwcsTUEWQRoPI4gGx+Q0B6CLMDzoocffnicQoFVHnzwwcBEecsRZJE9giwCNBxHkA0PR2wNQRYBGo8jyMYHJLSHIAvwvOiAAQPiFAqssnXr1sBEecsRZJE9giwCNBxHkA0PR2wNQRYBGo8jyMYHJLSHIAvwvOjAgQPjFAqssmXLlsBEecsRZJE9giwCNBxHkA0PR2wNQRYBGo8jyMYHJLSHIAvwvOgRRxwRp1Bgld/+9reBifKWI8giewRZBGg4jiAbHo7YGoIsAjQeR5CND0hoD0EW4HnRI488Mk6hwCqbN28OTJS3HEEW2SPIIkDDcQTZ8HDE1hBkEaDxOIJsfEBCewiyAM+LvvCFL4xTKLDKb37zm8BEecsRZJE9giwCNBxHkA0PR2wNQRYBGo8jyMYHJLSHIAvwvOhRRx0Vp1BglQceeCAwUd5yBFlkjyCLAA3HEWTDwxFbQ5BFgMbjCLLxAQntIcgCPC/6ohe9KE6hwCq//vWvAxPlLUeQRfYIsgjQcBxBNjwcsTUEWQRoPI4gGx+Q0B6CLMDzov/4j/8Yp1Bglf/93/8NTJS3HEEW2SPIIkDDcQTZ8HDE1hBkEaDxOIJsfEBCewiyAM+LHn300XEKBVa5//77AxPlLUeQRfYIsgjQcBxBNjwcsTUEWQRoPI4gGx+Q0B6CLMDzosccc0ycQoFV7r333sBEecsRZJE9giwCNBxHkA0PR2wNQRYBGo8jyMYHJLSHIAvwvOigQYPiFAqssmnTpsBEecsRZJE9giwCNBxHkA0PR2wNQRYBGo8jyMYHJLSHIAvwvOhLXvKSOIUCq/zqV78KTJS3HEEW2SPIIkDDcQTZ8HDE1hBkEaDxOIJsfEBCewiyAM+LvvSlL41TKLDKL3/5y8BEecsRZJE9giwCNBxHkA0PR2wNQRYBGo8jyMYHJLSHIAvwvOixxx4bp1BglXvuuScwUd5yBFlkjyCLAA3HEWTDwxFbQ5BFgMbjCLLxAQntIcgCPC963HHHxSkUWOXuu+8OTJS3HEEW2SPIIkDDcQTZ8HDE1hBkEaDxOIJsfEBCewiyAM+LDh48OE6hwCobN27skbhg7pJk9Zr13c9NHj86mTl1Ql1V0+w9ty+ra33oIgQ5lFhmPYIsAjQcR5AND0dsDUEWARqPI8jGByS0hyAL8LzoP//zP8cpFFjlv//7v3skxk+Zl6xcOrfy3OYt25MxZ85Oli6ckQwbWlvgnRxv2HhfsmPXYwmCHDiEZi1HkJtFuvnHQZCbz7xZR0SQm0W6nOMgyOVwb8ZREeQ4lF/2spfFKRRY5Re/+EXNxPBx05NzzjotmTh2ZNV1i664Ntm6bUfyljcNT6bMugRBDpxB05YjyE1D3fQDIchNR960AyLITUNdyoEQ5FKwN+WgCHIczMcff3ycQoFV7rrrrpqJY0dMrnkF2cnx+p9vqlx1XrtuI4IcyL+pyxHkpuJu6sEQ5KbiburBEOSm4m76wRDkpiNv2gER5DioTzjhhDiFAqts2LChasJtm9i6bWf3lovswhXX35ZcefWNyZpViysfQpAD4Td7OYLcbOLNOx6C3DzWzT4Sgtxs4s09HoLcXN7NPBqCHIf2v/zLv8QpFFjlZz/7WW4i3VOcym/eouwb+vw1N12zIDly4GGB3dRezpv0RJwIsgjQcBxBNjwcsTUEWQRoPI4gGx+Q0B6CLMDzokOGDIlTKLDK+vV/v2NFGq1HjvMOwxXkQPjNXo4gN5t4846HIDePdbOPhCA3m3hzj4cgN5d3M4+GIMehPXTo0DiFAqusW7euR8LdxcI90jtZZMu5PcnVbv2GIAfCb/ZyBLnZxJt3PAS5eaybfSQEudnEm3s8BLm5vJt5NAQ5Du0TTzwxTqHAKnfeeWd3Ir2tW7ZEv74HdO8zRpADAVtajiBbmkbcXhDkuDwtVUOQLU0jfi8IcnymVioiyHEm8cpXvjJOocAqP/nJTwIT5S1nD7LIHkEWARqOI8iGhyO2hiCLAI3HEWTjAxLaQ5AFeF70pJNOilMosMqPf/zjwER5yxFkkT2CLAI0HEeQDQ9HbA1BFgEajyPIxgcktIcgC/C86Kte9ao4hQKr3HHHHYGJ8pYjyCJ7BFkEaDiOIBsejtgagiwCNB5HkI0PSGgPQRbgedFhw4bFKRRYZe3atYGJ8pYjyCJ7BFkEaDiOIBsejtgagiwCNB5HkI0PSGgPQRbgedFXv/rVcQoFVvnRj34UmChvOYIsskeQRYCG4wiy4eGIrSHIIkDjcQTZ+ICE9hBkAZ4Xfc1rXhOnUGCVH/7wh4GJ8pYjyCJ7BFkEaDiOIBsejtgagiwCNB5HkI0PSGgPQRbgedHhw4fHKRRYZc2aNYGJ8pYjyCJ7BFkEaDiOIBsejtgagiwCNB5HkI0PSGgPQRbgedHXjhgRp1BglR/cfntgorzlCLLIHkEWARqOI8iGhyO2hiCLAI3HEWTjAy2465MAACAASURBVBLaQ5AFeF70da97XZxCgVW+//3vBybKW44gi+wRZBGg4TiCbHg4YmsIsgjQeBxBNj4goT0EWYDnRUeOHBmnUGCV2267LTBR3nIEWWSPIIsADccRZMPDEVtDkEWAxuMIsvEBCe0hyAI8L3ry618fp1BglVu/973ARHnLEWSRPYIsAjQcR5AND0dsDUEWARqPI8jGByS0hyAL8LzoqJNPjlMosMrqW28NTJS3HEEW2SPIIkDDcQTZ8HDE1hBkEaDxOIJsfEBCewiyAM+LvuENb4hTKLDKLbfcEpgobzmCLLJHkEWAhuMIsuHhiK0hyCJA43EE2fiAhPYQZAGeFx09enScQoFVbr755sBEecsRZJE9giwCNBxHkA0PR2wNQRYBGo8jyMYHJLSHIAvwvOgbx4yJUyiwyndvuikwUd5yBFlkjyCLAA3HEWTDwxFbQ5BFgMbjCLLxAQntIcgCPC/6pje+MU6hwCr/+d3vBibKW44gi+wRZBGg4TiCbHg4YmsIsgjQeBxBNj4goT0EWYDnRU9505viFAqs8p3//M/ARHnLEWSRPYIsAjQcR5AND0dsDUEWARqPI8jGByS0hyAL8LzoqaeeGqdQYJVvf/vbgYnyliPIInsEWQRoOI4gGx6O2BqCLAI0HkeQjQ9IaA9BFuB50dNPOy1OocAqN9x4Y2CivOUIssgeQRYBGo4jyIaHI7aGIIsAjccRZOMDEtpDkAV4XnTs6afHKRRY5fobbghMlLccQRbZI8giQMNxBNnwcMTWEGQRoPE4gmx8QEJ7CLIAz4u+eezYOIUCq3zr+usDE+UtR5BF9giyCNBwHEE2PByxNQRZBGg8jiAbH5DQHoIswPOi49785jiFAqus+ta3AhPlLUeQRfYIsgjQcBxBNjwcsTUEWQRoPI4gGx+Q0B6CLMDzom99y1viFAqs8o1vfjMwUd5yBFlkjyCLAA3HEWTDwxFbQ5BFgMbjCLLxAQntIcgCPC96xlvfGqdQYJXrvvGNwER5yxFkkT2CLAI0HEeQDQ9HbA1BFgEajyPIxgcktIcgC/C86NvOOCNOocAqX7/uusBEecsRZJE9giwCNBxHkA0PR2wNQRYBGo8jyMYHJLSHIAvwvOj4t70tTqHAKiu//vXARHnLEWSRPYIsAjQcR5AND0dsDUEWARqPI8jGByS0hyAL8LzoxAkT4hQKrLLi2msDE+UtR5BF9giyCNBwHEE2PByxNQRZBGg8jiAbH5DQHoIswPOib584MU6hwCpfW7EiMFHecgRZZI8giwANxxFkw8MRW0OQRYDG4wiy8QEJ7SHIAjwveubb3x6nUGCVa772tR6JC+YuSVavWd/93OTxo5OZU6tf3Q5dH9hej+UIskKvK4sgiwANxxFkw8MRW0OQRYDG4wiy8QEJ7SHIAjwv+o4zz4xTKLDKV6+5pkdi/JR5ycqlcyvPbd6yPRlz5uxk6cIZybChg3Mrh64PbA9BVoBlswhyTJq2aiHItuYRsxsEOSZNe7UQZHszidURghyH5KR3vCNOocAqy7/61ZqJ4eOmJ+ecdVoycezIuiqHrq+r6N8WcQW5DlrpTzXHDTqq+yedNBZTkNetW5fMmfPRZPXqW+roKkkmTJiY7Nq1q7L23HPPTU4//bQeuaVLlyYbN96dLFlyeV31ihY9uOupypK5s88rWlrz42/v+tXOa1/3uu4127dvT+Z85COFNd8wenTy1q57N773Pe/Zbe0XvvjF4HpFB4whyEuWLKnMJn3ce++9yaBBg4oOnezcuTPp27dvZd1nP/vZZNq0aZX/X7VqVfJm7y8gfavrrxKNGzeusF7Rgi07nqwsec2J+T+1F+XTj8+dOzeZNGlS9/IHHnggOfnkk+uKp9kFCxYkX/jCF7ozLn/FFVd0/3vq1KnJrbfeWlfNaotiCfLZXa/F0V2vy/SxdevWZPoHPlC1t6L1H5w5MznxxBN75Itq1gNi8dLlHTnfgf32rQdP1TWt8Pmbfu522tflw/vuLc02DbfC990BB+8T5Vz9Iu8866zoNesp+JWrr6657NgRk2teQc6GQ9fX02O6BkGug9aiK5591+WylTcnN12zIDly4GF//4a48w+J+om6ZcuW5F3vend3zXoEedSoNyRvecu4ZMqUKbudwQ033FiRKvc45phjzAny7AsvTG655Zbk53fdVenxssWLk3s3bUo+97nP5U7j5ccf30Mys4KczRfVq2PklSUxBHnt2rXJxRdfnFz/t78/78R3zZo1NaX2mWeeSaqJ76YuTr5gu7W+QNd7btl1sQR55cqVyRe7flhJBXb9+vWJ+wb0/ve/v2ZrTo5PPfXU5MADD0x8QX7ve9+bzJ49u8dzjZ6jn4slyJ+YPz+58cYbk592naN7fHnZsuSee+5JLl60KLfNovVOkI844oiakt3I+ccS5FabryrIrfD5G0uQW+3rcid93+0NQZ78znc28qVEziz7yleq1nD7i7du27nbhchqgdD1oc0jyHUQc3tezjt7XHL5VauSIS8f1GMDecwryKnYFgmyuzK8fftDycc+9tGa3X/8459IHnroIXOCnG3afWF2jwUXXVTzfNIrz1lBdlePv9H113luufnmSr7eekWjjyHI2WO4b7juMWzYsNzDuyvEhx56aNWPZ0NOmJ2QqVeRYwlytj8nVO4xfvz4qridBLsf9IYMGZLcf//9PWTYibZjNm/evKJxBX08liBnD+oE2D0+OmdOXf1k11sX5FabryrIrfD5G0uQW+3rsirI6fm2wvfd3hDkd02eXNfXqNiL3EWEvIeT3Q0b70vWrFpc1yFD19dVNLMIQS6g5rZXTDrvU5Whrbj+tuTKq2/sMcAyBHnatPOSHTt2dG+vcKfw5S9/KRk4cGCPs2kVQZ7/yU8mW7uuole7gpyeVDVBdlcnjz/hhOQH3/9+8rWud8g6YXZXVdMr1I18YrhMbwhykdC6j/fr1697e4Xrw22pSK9A++cyduzYypVmS1eQs6yd4N53331VryCnV4iPPvroSjQryO7fjz76aOXKsnu4/3cirT56S5AXf+YzyW9/+9uqV5CzfWfXZ7dYxNhe4Y4Z6wpyq803tiBb/PztLUG2/nW52YJc5vfd3hDkd7/rXeqX0YbyX/ryl3fLhcpu6PqGGu0KIcgF5NLtFeltR9x+l+w2i2eeebpR/j1y9f4k6/Yev/a1I7q3V7gryt/85qrd9i7HFuQ+ffao9Ju3B7hRANWkN69etbXp3uQnnngi2W+//bqurte3p7mo53Rfc58+fYqW1vXxdD9jrXrZLRjpnuNsxm2tcI9Ye5DTeqmo1nVCBYvSPcXVaqZ7i/09xb4gpx/3t1ykWzfq3ddcrUV3HPc4o2tPe6xHur+43pr1rL+u6zcjd955Z93CXe1cXB336LT5xvrcdeysfv6mn7ud9nW5077vxvo6ldZ5z9lnxy5ZV70vXnVVj3XuN/Tukd7JIlvEOZd/67ei9XU1UeciBLkAlHuH5PLLP9y979j95DKgf7/ubRZlXEF2gjyx6ybf6Zvy0j3M2avIsQU51pv0UuSp8NZ7tbfWFgu/hrvy4R71vPGv1vhjXkFOv7lWuxqc9uEEeUXXjdTTN+WlV4mr5erZ01zP14LYWyxSOa71hrrsG/r8PpcvX57ccccdlTfn+TXSvcrqVeTYV5BT2V24cGH3fuRa3OtdH2vLRewryK0y31hXkC1//sa+gtwqX5ebfQW5zO+7vXEFOeYPVPV8j0nX+G+oT2+AkM3363tA92/qfUGuZ31IL0VrEeQahNau25hMmXXJbiv84ZUhyO5XPYMHH9d9BbkVBTn0i7AbQp4g593Zwm25OKbrThHnT59e9Pqv+fFYglzvN1fXTPZXuEWCXLSnuV4AMQW5Hnmq1lfeFgv/CrJFQa5XdtNzDllvUZBbab4xBNn6529MQW6lr8vNFuQyv+/2hiC/r+u9H2U8Pu/doaiM44ccE0GuQcttr9i6bUdy6bxnb7GVPvzbijRDkLNbKLJbMapdKbZ6BTndM1ztJ9hqH691BfmuDRu69zC7u1g8+OCDhW/6K/pEiSHI1bZIpMfOfjz7a1wnwIccckj3nSvy7mIRY5tFLEF2+8hHjRpV9Vf5RR/PCrJ7k5+73V26paLeu2IUzTbWFeR0z3C1bRXZjxetd3uS09vEvWLo0GTWrFnJzV1vPr3Ku41h0bnlfTzWFeSi+RV9vNnzVQW5FT5/Ywlyq31d7m1BtvR9tzcEecr73tfIlxI5s/Tzn5drNKsAglyDtBPhOedP2u2G1W6bhXs4cY4hyNnbvLna/i3c8vYYp8+5tU4grr3273/f3L/NW3p68+d/Ihna9Q1XecTaYuEE1u0Vzj7SbRLZL9TZ27y5nC/E2Y9XvgkX3BGjHg4xBNm/n7F/zHTLRN43YP9ex+4+1wcffHB31Amyu3Vf+oghx65WLEF2Apu+oc4/33SbRKhAuRpu3/FRRx1VKfezn/2s5h0x6pmrWxNLkN07svfff//dDptutcgKcdF6J8gDBgzorhdj/7ErFkuQW22+qiC3wudvLEFuta/LqiC30vfd3hDkc3JuEVvv109l3ZVd75lqlQeCLE4qhiCLLTQtHkuQm9aweKAYgiy20LR4LEFuWsPigWIJsthG0+KxBLlpDYsH4i/piQANx/lLenGG8/6uP7hUxuNz3h99KuP4IcdEkENo5axFkEWAhuMIsuHhiK0hyCJA43EE2fiAhPYQZAGeFz234I83xTnK7lU+W+UPgvXW8ZS6CLJCryuLIIsADccRZMPDEVtDkEWAxuMIsvEBCe0hyAI8Lzrt3HPjFAqssuRvf+U3MFbKcgRZxI4giwANxxFkw8MRW0OQRYDG4wiy8QEJ7SHIAjwv+oHzet58IE7V4iqfufzZ93C1wgNBFqeEIIsADccRZMPDEVtDkEWAxuMIsvEBCe0hyAI8Lzr9A+fFKRRYZfFnLg9MlLccQRbZI8giQMNxBNnwcMTWEGQRoPE4gmx8QEJ7CLIAz4uqfyeg0S7c3VJa5YEgi5NCkEWAhuMIsuHhiK0hyCJA43EE2fiAhPYQZAGeF73g/PPjFAqsculllwUmyluOIIvsEWQRoOE4gmx4OGJrCLII0HgcQTY+IKE9BFmA50Vn/NsFcQoFVrnkPy4NTJS3HEEW2SPIIkDDcQTZ8HDE1hBkEaDxOIJsfEBCewiyAM+LfnDGv8UpFFjl4kv+IzBR3nIEWWSPIIsADccRZMPDEVtDkEWAxuMIsvEBCe0hyAI8Lzrzgx+MUyiwyqKLLw5MlLccQRbZI8giQMNxBNnwcMTWEGQRoPE4gmx8QEJ7CLIAz4vOmjkzTqHAKgsXLQpMlLccQRbZI8giQMNxBNnwcMTWEGQRoPE4gmx8QEJ7CLIAz4teOHtWnEKBVS5asDAwUd5yBFlkjyCLAA3HEWTDwxFbQ5BFgMbjCLLxAQntIcgCPC/6oQtnxykUWOXTFy0ITJS3HEEW2SPIIkDDcQTZ8HDE1hBkEaDxOIJsfEBCewiyAM+LfvhDF8YpFFjlU5++KDBR3nIEWWSPIIsADccRZMPDEVtDkEWAxuMIsvEBCe0hyAI8LzrnIx+OUyiwyvxPfiowUd5yBFlkjyCLAA3HEWTDwxFbQ5BFgMbjCLLxAQntIcgCPC/60TkfiVMosMon5n8yMFHecgRZZI8giwANxxFkw8MRW0OQRYDG4wiy8QEJ7SHIAjwv+rGPzolTKLDKxz8xPzBR3nIEWWSPIIsADccRZMPDEVtDkEWAxuMIsvEBCe0hyAI8Lzr3Yx+NUyiwyryPfyIwUd5yBFlkjyCLAA3HEWTDwxFbQ5BFgMbjCLLxAQntIcgCPC8679/nxikUWGXuv88LTJS3HEEW2SPIIkDDcQTZ8HDE1hBkEaDxOIJsfEBCewiyAM+Lfnzev8cpFFjlY3PLOW5gm5XlCHIj1LwMgiwCNBxHkA0PR2wNQRYBGo8jyMYHJLSHIAvwvOgnPl7OldyPfqycK9eNUEOQG6GGIIvUWiOOILfGnBrpEkFuhFrrZBDk1plVaKcIciix/PXz55ezF3jOnHL2PjdCDUFuhBqCLFJrjTiC3BpzaqRLBLkRaq2TQZBbZ1ahnSLIocTy13/qk+XcTeLDHynn7hmNUEOQG6GGIIvUWiOOILfGnBrpEkFuhFrrZBDk1plVaKcIciix/PWf/lQ59yP+0IfLuf9yI9QQ5EaoIcgitdaII8itMadGukSQG6HWOhkEuXVmFdopghxKLH/9RRd9Ok6hwCoXXvihwER5yxFkkT1v0hMBGo4jyIaHI7aGIIsAjccRZOMDEtpDkAV4XnThgoviFAqsMmv2hT0SF8xdkqxes777ucnjRyczp04IrNo7yxFkkSuCLAI0HEeQDQ9HbA1BFgEajyPIxgcktIcgC/C86KKFC+IUCqwyc9bsHonxU+YlK5c+e2eLzVu2J2POnJ0sXTgjGTZ0cGDl+MsRZJEpgiwCNBxHkA0PR2wNQRYBGo8jyMYHJLSHIAvwvOjFFy+KUyiwygc/OLNmYvi46ck5Z52WTBw7MrBy/OUIssgUQRYBGo4jyIaHI7aGIIsAjccRZOMDEtpDkAV4XvSSSy6OUyiwyowZH6yZOHbEZK4gBzI1uxxBNjsauTEEWUZotgCCbHY0URpDkKNgNFkEQY4zlkv/45I4hQKrXPBvM6om3H7krdt2dm+5CCwdfTlXkEWkCLII0HAcQTY8HLE1BFkEaDyOIBsfkNAegizA86KXXXZpnEKBVc4//4LchJPjDRvvS9asWhxYsfeWI8giWwRZBGg4jiAbHo7YGoIsAjQeR5CND0hoD0EW4HnRxYsvi1MosMr06efvlrAox65JBDlwuNnlCLII0HAcQTY8HLE1BFkEaDyOIBsfkNAegizA86Kf+Uw5V2o/8IHpPU7A3cXCPdI7WcQ5uzhVEGSRI4IsAjQcR5AND0dsDUEWARqPI8jGByS0hyAL8LzokiWXxykUWGXatPO6E+lt3bIl+vU9wMRWCwQ5cLjZ5QiyCNBwHEE2PByxNQRZBGg8jiAbH5DQHoIswPOin/3skjiFAquce+60wER5yxFkkT2CLAI0HEeQDQ9HbA1BFgEajyPIxgcktIcgC/C86BVXfC5OocAqU6e+PzBR3nIEWWSPIIsADccRZMPDEVtDkEWAxuMIsvEBCe0hyAI8L3rllVfEKRRY5ZxzpgYmyluOIIvsEWQRoOE4gmx4OGJrCLII0HgcQTY+IKE9BFmA50U///mlcQoFVnnf+6YEJspbjiCL7BFkEaDhOIJseDhiawiyCNB4HEE2PiChPQRZgOdFv/CFz8cpFFjlve99X2CivOUIssgeQRYBGo4jyIaHI7aGIIsAjccRZOMDEtpDkAV4XvSqq74Yp1BglbPPfk9gorzlCLLIHkEWARqOI8iGhyO2hiCLAI3HEWTjAxLaQ5AFeF70S1+6Kk6hwCrvfvfZgYnyliPIInsEWQRoOI4gGx6O2BqCLAI0HkeQjQ9IaA9BFuB50S9/+UtxCgVWede73h2YKG85giyyR5BFgIbjCLLh4YitIcgiQONxBNn4gIT2EGQBnhf9yleWxSkUWOWd75wcmChvOYIsskeQRYCG4wiy4eGIrSHIIkDjcQTZ+ICE9hBkAZ4Xvfrqr8QpFFjlrLPeGZgobzmCLLJHkEWAhuMIsuHhiK0hyCJA43EE2fiAhPYQZAGeF/3qV5fHKRRY5R3vmBSYKG85giyyR5BFgIbjCLLh4YitIcgiQONxBNn4gIT2EGQBnhe95pqvxikUWOXMM98RmChvOYIsskeQRYCG4wiy4eGIrSHIIkDjcQTZ+ICE9hBkAZ4XXbHia3EKBVaZOPHtgYnyliPIInsEWQRoOI4gGx6O2BqCLAI0HkeQjQ9IaA9BFuB50WuvXRGnUGCVCRMmBibKW44gi+wRZBGg4TiCbHg4YmsIsgjQeBxBNj4goT0EWYDnRb/+9ZVxCgVWedvbxgcmyluOIIvsEWQRoOE4gmx4OGJrCLII0HgcQTY+IKE9BFmA50Wvu+7rcQoFVjnjjLcFJspbjiCL7BFkEaDhOIJseDhiawiyCNB4HEE2PiChPQRZgOdFv/GN6+IUCqzy1reeEZgobzmCLLJHkEWAhuMIsuHhiK0hyCJA43EE2fiAhPYQZAGeF1216ptxCgVWGTfuLYGJ8pYjyCJ7BFkEaDiOIBsejtgagiwCNB5HkI0PSGgPQRbgedFvfWtVnEKBVd785nGBifKWI8giewRZBGg4jiAbHo7YGoIsAjQeR5CND0hoD0EW4HnRG264Pk6hwCqnnz42MFHecgRZZI8giwANxxFkw8MRW0OQRYDG4wiy8QEJ7SHIAjwv+u1v3xCnUGCVU089PTBR3nIEWWSPIIsADccRZMPDEVtDkEWAxuMIsvEBCe0hyAI8L/qd73w7TqHAKqeccmpgorzlCLLIHkEWARqOI8iGhyO2hiCLAI3HEWTjAxLaQ5AFeF70u9/9TpxCgVXe+MZTAhPlLUeQRfYIsgjQcBxBNjwcsTUEWQRoPI4gGx+Q0B6CLMDzojfd9N04hQKrjBnzxsBEecsRZJE9giwCNBxHkA0PR2wNQRYBGo8jyMYHJLSHIAvwvOgtt9wUp1BglTe8YUxgorzlCLLIHkEWARqOI8iGhyO2hiCLAI3HEWTjAxLaQ5AFeF509eqb4xQKrDJq1OjARHnLEWSRPYIsAjQcR5AND0dsDUEWARqPI8jGByS0hyAL8Lzo9763Ok6hwCqvf/2owER5yxFkkT2CLAI0HEeQDQ9HbA1BFgEajyPIxgcktIcgC/C86G233RqnUGCVkSNPDkyUtxxBFtkjyCJAw3EE2fBwxNYQZBGg8TiCbHxAQnsIsgDPi/7gB7fFKRRY5bWvHRmYKG85giyyR5BFgIbjCLLh4YitIcgiQONxBNn4gIT2EGQBnhe9/fbvxykUWGXEiNflJhZdcW2y/uebkpVL5xZWPHbE5O4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""
]
},
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},
{
"name": "stdout",
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"text": [
"\n",
"After Delta time 3.0. TOTAL TIME 17.999999999999986 (30 steps taken):\n",
"SYSTEM STATE at Time t = 18:\n",
"[[1.75622069 2.14971234 2.4820061 2.44230075 2.33952022 2.44230075\n",
" 2.4820061 2.14971234 1.75622069]]\n"
]
},
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"\n",
"After Delta time 3.0. TOTAL TIME 21.00000000000003 (30 steps taken):\n",
"SYSTEM STATE at Time t = 21:\n",
"[[1.8567287 2.13705992 2.39331754 2.42217874 2.38143019 2.42217874\n",
" 2.39331754 2.13705992 1.8567287 ]]\n"
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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"\n",
"After Delta time 3.0. TOTAL TIME 24.00000000000007 (30 steps taken):\n",
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""
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},
{
"name": "stdout",
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"text": [
"\n",
"After Delta time 3.0. TOTAL TIME 27.000000000000114 (30 steps taken):\n",
"SYSTEM STATE at Time t = 27:\n",
"[[1.98256145 2.13602714 2.30397039 2.38102863 2.39282476 2.38102863\n",
" 2.30397039 2.13602714 1.98256145]]\n"
]
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""
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"\n",
"After Delta time 3.0. TOTAL TIME 30.000000000000156 (30 steps taken):\n",
"SYSTEM STATE at Time t = 30:\n",
"[[2.0231929 2.14155643 2.28163209 2.3622001 2.38283695 2.3622001\n",
" 2.28163209 2.14155643 2.0231929 ]]\n"
]
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""
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"\n",
"After Delta time 3.0. TOTAL TIME 33.0000000000002 (30 steps taken):\n",
"SYSTEM STATE at Time t = 33:\n",
"[[2.05491235 2.14857175 2.26683188 2.34506617 2.36923571 2.34506617\n",
" 2.26683188 2.14857175 2.05491235]]\n"
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"\n",
"After Delta time 3.0. TOTAL TIME 36.00000000000024 (30 steps taken):\n",
"SYSTEM STATE at Time t = 36:\n",
"[[2.0802789 2.15604676 2.2567439 2.32970151 2.35445786 2.32970151\n",
" 2.2567439 2.15604676 2.0802789 ]]\n"
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ABCAAAQgUkQACuYheo80QgAAEIAABCEAAApkRQCBnhhbDEIAABCAAAQhAAAJFJIBALqLXaDMEIAABCEAAAhCAQGYEEMiZocUwBCAAAQhAAAIQgEARCSCQi+g12gwBCEAAAhCAAAQgkBkBBHJmaDEMAQhAAAIQgAAEIFBEAgjkInqNNkMAAhCAAAQgAAEIZEYAgZwZWgxDAAIQgAAEIAABCBSRAAK5iF6jzRCAAAQgAAEIQAACmRFAIGeGFsMQgAAEIAABCEAAAkUkgEAuotdoMwQgAAEIQAACEIBAZgQQyJmhxTAEIAABCEAAAhCAQBEJIJCL6DXaDAEIQAACEIAABCCQGQEEcmZoMQwBCEAAAhCAAAQgUEQCCGQHXtsxeNCBFUz4SmBhR4vIrFkyemDC1y7SLwcEiBMHEAMwQZwE4GRHXTypu8ORpTDNIJAd+B2B7ACixyYY0Dx2rsOuEScOYXpsijjx2LmOu4ZAtgOKQLbjV6qNQHYA0WMTDGgeO9dh14gThzA9NkWceOxcx11DINsBRSDb8UMgO+DnuwkGNN897KZ/xIkbjr5bIU5897C7/iGQ7VgikO34IZAd8PPdBAOa7x520z/ixA1H360QJ7572F3/EMh2LBHIdvwQyA74+W6CAc13D7vpH3HihqPvVogT3z3srn8IZDuWCGQ7fghkB/x8N8GA5ruH3fSPOHHD0XcrxInvHnbXPwSyHUsEsh0/BLIDfr6bYEDz3cNu+kecuOHouxXixHcPu+sfAtmOJQLZjh8C2QE/300woPnu4fr6d+DIYXl1fExeHTsk///YQXlt4lDJ0Fmtc+Vft3fI2e1z5ey2dpk3a3Z9N6CWlwR4nnjp1kw6hUC2w4pAtuOHQHbAz3cTDGi+e7h6/6ZMkTcnjorhlw8dlFeMGP6HiQk5XKWqSuN/0doq5xjR/IG5R0Xz6a3tMqf6LSnhKQGeJ546NoNuIZDtoCKQ7fghkB3w890EA5rvHj6xf29PTcgrRgz/aGxMXjazw38/fnR2OHmd02Zmi83/32+E7y/Nn2tOXBT5x31az8wqmzqvVKj3y6bOB8ws8/vb2+UcU/eUOa3hQQ60xzxPAnV8Hd1GINcBLVYFgWzHD4HsgJ/vJhjQ/Pbw6OEjRsyaWWEVtGZ2+FXzz8HDx88Nx2eCzzEzwe83AvdfmfQJcwj59FUuTibNX/+XScP40THblWaeu2fPNukYx2aZS6K7QxbONmqbyzsCPE+8c2lmHUIg26FFINvxQyA74Oe7CQY0fzw8ceSI/NikSqgY1lQJzSH++eTECR1cOaelJFjPOZZL/P62tqq5xGnjRHOXfzQ+XkrXeMXMTqsg3z6lUvr469SW1lIOs6Zm6Ez1GSY1o3UWorno0Zg2ToreT9pvTwCBbMcQgWzHD4HsgJ/vJhjQiunhI6bZPzPit5Q3bISoiuL/NTEuKpLjV6fO3poc4bNL6Q4dpQV2S8xntV42cTJsZqx1oV9JMJu0jldNjvNIYhZbxfG/am0riWVNz9B85ncbEY1krtVTzS1vEyfNbTl3bzQBBLIdcQSyHT8EsgN+vptgQCuGh1VkvmQEpophnZXV/+816RPxa66Rk2eYWdnS7PBc3WVirvxzIzJdXK7j5P+ouC+lZhzty4/NbPchOb4/i0waRqkvx2a7z61T3LvoPzbSEXAdJ+nuSqkiEkAg23kNgWzHD4HsgJ/vJhjQ8udhFYq6EO4VIxo1b1hnh5NpCrpTxHtazIyrmWnVmWFdEJflDhJZx0m0k4YuHNSZZl1E+NPJcdHP49fJLSY9pLRrxtEfALqAUH8YcOWDQNZxko9e0goXBBDIdhQRyHb8EMgO+PluggGtuR7W5XI/MUJQBeHRvOFD8pZJlUgKw3cdE4bRzHCjhWEz4iT6oTA902xSM/5p8vh8Zv2hcJpJzYgWAeoPhveaHw61J5E0Nw58uXsz4sQXdqH1A4Fs53EEsh0/BLIDfr6bYEBrrId3mAVr0Y4SOkP8mvm/LmyLX5ojHKUWnG0WselWa5pL3MwrL3Giucu6xdyrx2bWVTxr+kn8mm8OLzlTFwBq3rXZMUPzmU8yCxO5sieQlzjJvqfcwZYAAtmOIALZjh8C2QE/300woGXn4f1G+L6iKQOaa1vKHz4k/YePnxvuMOkBZxoBrIvoVMjldd/gPMdJtK+zLljURYCvG94HE/nMy2bPKbEtLQAs5TS3iwppLrcE8hwnbnuKNVsCCGQ7gghkO34IZAf8fDfBgObGw9GewJEY1pSJfzQL0eLLzuLpALrfsAo1TQ8owslzRYoT/QmiaSpHUzPKp61o1rKeAlhKzTgmmpN7P7uJjLCsFClOwvJM/nqLQLbzCQLZjh8C2QE/300woNXn4f9rxO/LsUV0b5h/H0vMWuoJcjprGc0O6wEc7QVdUFb0OFHf6IEm0Syz/oDRmef4pb45Q9MyzCJAzfXW3TP+maNdQOqLsuLVKnqcFI94cVuMQLbzHQLZjh8C2QE/300woFX38J5jea/RjhLl8l6j0+I0Z7i0l6/5/+Im5w1X71n6Ej7Gifr15WNHZmtOc7lTBqN88OhAE9/8mj4C0pX0MU7S9ZxStRJAINdK7PjyCGQ7fghkB/x8N8GAdqKH/2FiQv720P7SzhKVZho1X/j9ZiHYL5vX8zrrqLPFPl+hxInOKv/Y5DH/vckZ/5F5K6AzzpXeDHzAxMC/7Zgvv8Qs83TohxInPn/XG9U3BLIdaQSyHT8EsgN+vptgQPuFhw+aRXVfGxmUb4yOHOf2s8wxyHoAh84iapqEnvgW2hVynOgJhZqeodvw6YEmr5njvOPX5xd2ypc6u6WDRX8ScpyE9kyw7S8C2Y4gAtmOHwLZAT/fTTCgHfXwc4cOyJcHd4luw6bXFxYtkY/Omy+/bLYJ4xKETyII/n78oPy3A/vl4b3Dpb/oNnJf7V4uF86dF3S48DwJ2v01dR6BXBOuEwojkO34IZAd8PPdROgDmm67dvPQbvnrA/tKrj7XzBDfv7SX1+aJwA89Tio9B3SnkmsH+uQlM8Os16/PWyB3dS2THrOtXIgXcRKi1+vrMwK5Pm5RLQSyHT8EsgN+vpsIdUDT7de2mlSKjSMDMnrkSOkgjluX9Miq+Yt8d3ld/Qs1TtLCemL/XrljuF/0IJOFs2bJjZ1LZbVJvQjtEGziJG3EUA6BbBcDCGQ7fghkB/x8NxHigPYTswhv7cBOef1YLum/n79QNixZJrpjAVd5AiHGSa2xoCf6rR/eLf9p/2ip6pkmd33z0hXyXrPfcigXcRKKp+37iUC2Y4hAtuOHQHbAz3cTIQ1ougjvHrMI79tm5lgPk/hnZueJTUuXywfNThRcMxMIKU5sY+HvzA4Y6wZ2yf81O2JoosXlC5fI9Z1dQSziI05soyec+ghkO18jkO34IZAd8PPdRCgD2vNmEd61g32ya2pKWs0r8KuMaLl6cVfp37mqEwglTqqTSFdiwqTtPLhnSB4aHRb99+Vz5sj93b1ygeeL+IiTdPFBKbOwtZuJCZs4QCDb0DtWd8fgQQdWMOErAd8HNF2Ed5NZhPdMbBHeZrMIjxPSaoto3+OkNhrpS+uJi2sDWsRHnKSPjdBLIpDtIgCBbMePGWQH/Hw34euApovw/mSfWYQ3PCD7zAxel9mj9jazu8CnTL4xV+0EfI2T2knUV+MvTF7y7eaH2pBJ8/F5ER9xUl98hFgLgWzndQSyHT8EsgN+vpvwcUB70xzssM7M2kWL8C6Zt1C+YsTxIhbh1R3OPsZJ3TDqrLjXLOL7ihHJ2w74u4iPOKkzOAKshkC2czoC2Y4fAtkBP99N+DSglVuEt7mnt7S3MZcdAZ/ixI6EfW3dM3ltf5+Xi/iIE/v4CMUCAtnO0whkO34IZAf8fDfhy4AWX4TXbnafXWt2DfiCWYjHIjw3EexLnLihYW9FF+49bBbwbR4ZkjHxZxEfcWIfG6FYQCDbeRqBbMcPgeyAn+8mij6gJRfh6ZZtD5qt295ltnDjckeg6HHijoRbS/9ktoK72mwJp1vD6VX0k/iIE7fx4bM1BLKdd4MTyE88/Zzc8cBj09TOOO1U2bZlfUWKP3jxdVlzw30zlmcXC7sg9L12UQe05CK8peZo3/XmJLyLWYSXScgWNU4ygZGB0afMIr4N5iS+AbPrSpEX8REnGQSHpyYRyHaODU4gr1v/kKy74lNyysrlJXLnX3y1fPyjH5Lrr7y0LMl7H3lSPvSv3ycfOe/M0t8vWbNBTurtlk0brpouj0C2C0LfaxdxQIsvwtNdjC81x0PfZsQxi/Cyi9Yixkl2NLKxrIv4bjci+UlzbLX+ACziSXzESTax4aNVBLKdV4MTyElcKpj1igvemZCqYH7p1beOm3VGINsFoe+1izSgJRfh/VJLqznKt1fOZhFe5mFapDjJHEbGN3hVF/GZXVj+0eyhXLST+IiTjIPDI/MIZDtnBi+QdUb43LNPqziDnMSrM84fOPM9zCDbxV1QtYsyoMUX4c01i/DWdXbL5xctkZagvNW8zhYlTppHyO2dJ425b+wdlk3maPRDBVrER5y4jQOfrSGQ7bwbtECO8pHfeH5rVYoqpH/81s+lXM7y0OhY1foUCJdAR5vOUc2Sg+M6JDfzKn/k825zNPT1Zkus7+07unfsvzFH9W7uXSGnmNljrsYR6GibbcLExMnYVONuyp3kbT2Jr2+n/HdzVLpev2Fy7O9Z1ivLzNHVebzyESeaoMKVdwJdC9vz3sRcty9YgRyJ42ce3zidj5zGU5qSsaNv8LgUCwa0NOTCLdMyxwhT87/JyWYPKsffX//rG0NDsn73btlncjOXz2mRe1b0yqcWLQrXWU3secscI5DNNTl1uImtCPfWf7F3r9yws092TU3KQnPgzYZly2RNV5d+dXN15SNO8kYlVy7KTWM62vP5Iy83gKo0JEiBXK84VpZa9xuPfldeeOrBabTkIBcl3JvTzjy+Ek0uwvv0gsVyi1mEp6v7uZpDII9x0hwSzbvrqNk7+U6ziO/P9u3J7SI+4qR58VG0O5NiYeex4ASyLrLbuu1ZqZRWkfy7plbEt4HT/9Yr/hkC2S4Ifa+dpwFNF+FtNDmX3xkdEX2R/97WVtnUzSK8PMRgnuIkDzya2QZdxLdusE9+MpG/RXzESTMjo1j3RiDb+Ss4gayL7AaG9pxALUq1SArk6L+jCuVykBHIdkHoe+28DGjxRXgd5sXxtZ1LZc2iztIqfq7mE8hLnDSfRD5aoD8gt+wdkftHBuRgjhbxESf5iI8itAKBbOel4ASyHa7ytRHIWVD1x2azBzQ9Ce/Lg7vk2YP7S1B/xZyE94DZuu0kk3PMlR8CzY6T/JDIV0t2mJzka8yWcP8jJyfxESf5io88twaBbOcdBLIdv1JtBLIDiB6baNaApku9tu4bkY3DA7LP5FYuN6vy/7Brmfy7jgUe0y5u15oVJ8Ul1tiW/9eD++QPhnabRXzNPYmPOGms34t8NwSynfcQyHb8EMgO+PluohkDmi7C+2L/Tnlzclx0b4TfXbhYbjIpFfNnHd0pgSt/BJoRJ/mjkO8W7Tc5/HeblIs/Hd0j+gO0GSfxESf5jpE8tQ6BbOcNBLIdPwSyA36+m2jkgJZchHd6S5ts6uktDeRc+SbQyDjJN4n8t+71iTFZZ/YO1x+gjT6JjzjJf3zkpYUIZDtPIJDt+CGQHfDz3USjBrT4Irx5Zqb4+s4uuXzhktIMMlf+CTQqTvJPohgt1Bnkb40Oy70jQ3LAzCxrCtP9ZkeYC8xBO1lexEmWdP2yjUC28ycC2Y4fAtkBP99NZD2gJRfhXdA+T+43i/B0wOYqDoGs46Q4JIrVUs1JvtYs4nt+7OhJfL8+b4HcZXL9e2Zn8/0jTooVH81sLQLZjj4C2Y4fAtkBP99NZDWgJRfhrTC7UtxhDvv4mBmguYpHIKs4KR6JYrb42QP75FZzyMhOPYnPHJdyJmQAACAASURBVLhzo8n5X72w0/lJfMRJMeOjGa1GINtRRyDb8UMgO+Dnu4ksBrT4Ijydp1q9oFNuWtItHSzCK2w4ZREnhYVR0IbrGoC7hwdLu8foPspZLOIjTgoaHE1oNgLZDjoC2Y4fAtkBP99NuBzQyi3C+3rPCjm9tc13jN73z2WceA8r5x1M/oDVtQC6JsDFD1jiJOfOz1HzEMh2zkAg2/FDIDvg57sJVwNafBHeAn2Fu8S8wjUzxyzC8yOCXMWJHzSK34ty+5C7WMRHnBQ/NhrVAwSyHWkEsh0/BLIDfr6bsB3QkovwLjI5xndnuAjId3/ktX+2cZLXfoXeLv3+3mQOGHnG5CjrZbuIjzgJPaLS9x+BnJ5VuZIIZDt+CGQH/Hw3Ue+AltUMlO+8i9q/euOkqP0Nrd3xN0A2i/iIk9Aip/7+IpDrZ6c1Ech2/BDIDvj5bqKeAS2ew9hiAH3OYQ6j77yL2r964qSofQ213bqGQPdN/rbZP3nSQKhnER9xEmr01N5vBHLtzOI1EMh2/BDIDvj5bqKWAU0H0K+aVfB/kuEqeN95F7V/tcRJUftIu48S+MnEhKwd2Cl6Ip/uQvM5sx3cDZ3pdqEhToiitAQQyGlJlS+HQLbjh0B2wM93E2kHtOQr2C939sjvLlzsfB9V33kXtX9p46So/aPdxxM4Yv7zT0f3yFdH+mX0yJHUJ/ERJ0RSWgII5LSkEMh2pGaovWPwYGa2MVx8AtUGND2J6+ahXfLswf2lzn68Y4Hc0Z3dSVzFJ+pnD6rFiZ+9ple6iO/Wwd3yvYNHF/FVW4RLnBAzaQkgkNOSQiDbkUIgZ8bPd8OVBjRdhKepFPcMD8g+M4N0kjkJ74HuXvmVuR2+I6F/ZQggfMIOi/9x6KBcM9gnO46dxHeD2cbxP5ptHGclsBAnYcdJLb1HINdC68SypFjY8SvVZgbZAUSPTZQb0JKL8K5Y1ClfMkfTtpNQ4XEkzNw1hE+wrp/u+Jgcka+NDMg3945ML+LbtLT3uIOAiBPiJC0BBHJaUswg25FiBjkzfr4bjg9oyUV4Z7e1y6buFfLe1lbfMdC/KgQQPoRIREAX8a0b3Cmvjp+4iI84IU7SEkAgpyWFQLYjhUDOjJ/vhqMB7b8M7ZFrzStUzTleNHuW3GIW4V22gEV4vvs/bf8QPmlJhVFOF/E9vm+P3GkW8e09/ItFfL+xZJHZoHWWjB6YCAMEvaybAAK5bnSliqRY2PEr1SbFwgFEj03sa50l1+3aId/bd3QRzifnLZTbu3qke7Zu8MQFgaMEEMhEQjkCg2YR321D/fL0gdHSnz+xYKHct2KFzBtTCc0FgcoEEMh20YFAtuOHQHbAz2cTL40fks/u3i57Dh+WU+a0yj3dy+XfsAjPZ5fX3TcEct3ogqj4380ivhsGd8nbUxOyePZseXTZSjm3bW4QfaeT9RFAINfHLaqFQLbjh0B2wM9XE//5wD65yhwGoNdnF3fK3Yt7fO0q/XJAAIHsAGIAJm7a0y+P7hkp9fShpSvkt+YtCKDXdLEeAgjkeqj9og4C2Y4fAtkBPx9N3L93SO4bGSx17ZalPXKj+T85gz562l2fEMjuWPpsSeNk49CA3NnfX+rml8wJfOsWdfncZfpWJwEEcp3gjlVDINvxQyA74OeTiUmzn/Fa8xr0r0y+YIvp2GazRdOnu5ewqMYnJ2fUFwRyRmA9MxvFyZ8NDJnjqvtK28H9plnXsNmkb7WYxXtcEIgIIJDtYgGBbMcPgeyAny8mRs1Kc803fnH8YClHcOuyk+S8tg4WX/ni4Iz7gUDOGLAn5uNxos+a1bt3lNY46LNG85IXmh1yuCCgBBDIdnGAQLbjh0B2wM8HE9snJ+XS3e/IzyYnSovxtvWuLP1TL4SPDx7Ovg/ESfaMfbhDMk500d4lfdtLi/fe3dIqTy47WVa26PsrrtAJIJDtIgCBbMcPgeyAX9FNvGY2879s1zsydOSwnGNWlT9uZnF0Bjm6ED5F93Bj2k+cNIZz0e9SLk50Bvky8/bqFbNrTtes2fL48pPlLHMIEVfYBBDIdv5HINvxQyA74FdkE8+YnSq+YPIA9YjYi8xq8ke6e6U1kQeI8CmyhxvXduKkcayLfKdKcTJh1j9caQ4i0meSHln/sFn/oM8krnAJIJDtfI9AtuOHQHbAr6gm/mjvsNw1MmCkschVi5bITZ1Ly3YF4VNUDze23cRJY3kX9W7V4uRu80x6yDybNBP5ZnNa5+8v6ixqV2m3JQEEsh1ABLIdPwSyA35FMzFlGqxHRv/l/lHRs/DuN7PGvz1/YcVuVBvQitZ/2psNAeIkG66+WU0TJ/ps0meUPqv02aTPKM7t9C0SqvcHgVyd0UwlEMh2/BDIDvgVycR+k2e82uT6/XDskMw3uX66U8WH2ztm7EKaAa1IDGhrNgSIk2y4+mY1bZz8cOzoDhf6zPpw+1zzrFpZemZxhUMAgWznawSyHT8EsgN+RTHRNzUpq8xOFT+ZmJCVc1rkz8xq8fe2Ht2pYqYr7YBWzQ5/95sAceK3f131rpY40WfVp80za7t5dumz6gnzzOo1zy6uMAggkO38jEC244dAdsCvCCbenBiXVWaniv7DU3JWa3tplXhXbKcKBHIRvJjvNtYifPLdE1qXJYFa42RId7gwz67XJsakZ/YcecI8u05vbcuyidjOCQEEsp0jEMh2/BDIDvjl3cTzhw7I5eZV5UGzHO9X586Tb5q0Cl0lnvaqdUBLa5dyfhEgTvzyZ1a9qSdOdJedK8wz7G/Ms6zDPLu+ZZ5hF5hnGZffBBDIdv5tuEB+3wWra27xGaedKtu2rK+5XqMq7Bg82KhbcZ8GE/j2vhH5ylC/HDb3vWJhp9y2pKcGaXy0sfUMaA3uJrfLAQHiJAdOKEAT6o0T3W1nw3C//PHoiGgm8oauHvm9BexwUQCX191EBHLd6EoVmyKQ33h+a+pWP/H0c/L0Mz9AIKcmRkEXBFQQ3zi4S/58/97SYLKxe7n8zvxFdZmud0Cr62ZUKiwB4qSwrmtow23jRJ9p+mzTZ5w+0/TZxtK9hrqwYTdDINuhRiDb8SvVZgbZAcQcmThoVn1fvnunPD/m5nWk7YCWIzQ0JUMCxEmGcD0y7SJO4mljF7TPMykXK6SDHS48ipKjXUEg27kUgWzHD4HsgF+eTOgivFV978ibk+POFrS4GNDyxIi2ZEOAOMmGq29WXcVJfOHx6S1t8kTvyaVnHpc/BBDIdr5suEC2a24+azODnE+/1Noq3RJp1e5/kr6pKdEB48+Wr3SyJZKrAa3W/lC+WASIk2L5q1mtdRkn8a0re+eYHS6WvSvV1pXN6jv3rY0AArk2XsnSuRTI0UK+WnKV7TDY1UYg2/HLQ+34pvquXzm6HNDywIo2ZEOAOMmGq29WXceJHiRyxbGUsrSHH/nG1Nf+IJDtPJsbgayL8e544LHp3jzz+EY5ZeVyu941qDYCuUGgM7pN/FjWLBatuB7QMsKA2SYTIE6a7ICC3D6LOIkvStYkCz2aWo+o5io2AQSynf+aLpDXrX9Ivv/CS9O92HLPdfKR886061WDayOQGwzc0e1026M7zbZHjxzb9ugPliw1W7ktcWT9F2ayGNCcNxKDTSdAnDTdBYVoQJZxsmV0WO4YHijtcPH7izrlls6eQjChkeUJIJDtIqNpAjm+H/Kt13xGVn3yQtHPEMh2DqV2OgLxjfP10I9v9qyQX+2Yn65yjaWyHNBqbArFc0yAOMmxc3LUtKzj5G8O7pcr+neKPiMvmrdAHl7aW9PBSDlCFXxTEMh2IdAUgVwpxxiBbOdMaqcjED96tctsbaTHRp/V1p6uch2lsh7Q6mgSVXJIgDjJoVNy2KRGxMlr42Ol46mHTH7yWa3tpWdk12x2S85hOMzYJASynceaJpCXdi2WF5568LjWI5DtnEnt6gR+ZrZvu3TXdtk+NSnvbmmVJ5edLCtbWqpXtCjRiAHNonlUzQkB4iQnjsh5MxoVJ9snJ+XS3e/IzyYnZOWcFnnS7OrzbrO7D1dxCCCQ7XzVFIGsTY6nWERpFQhkO2dSe2YCL44flM8acTx65Ih8uH2ufKfnZFk4e1bm2Bo1oGXeEW6QKQHiJFO83hhvZJyMHj4in929XfTZuXDWLHnUiOTz2jq8Yel7RxDIdh5umkCOms0iPTsHUjsdgb86MCprB/pk0hTX1dm6SrtRW+I3ckBLR4NSeSRAnOTRK/lrU6PjZNJMKFw3tEt0tx9917bZ5CT/5jx2uMhfZJzYIgSynZeaLpCj5se3eSuXfmHXzWxrs4tFtnxtrd87MiAP7B02S/FEbuxcKl9c5H6nipna2OgBzZYX9ZtDgDhpDvei3bVZcbLZPEPvMc9S3f1n3aIu+VJnd9HQBddeBLKdy3MjkOPd4KAQO6dS+yiBCTPzcfXgLtHZ41bzevARM2usq7IbfTVrQGt0P7mfHQHixI5fKLWbGSfPHNgnVw72lZ6tOou8uXu5tJhnK1c+CSCQ7fzScIGs4reWE/J0ZvnpZ34g27ast+vpsdrJA0nOOO3UGW2nKc8MshPXODWy5/Bhuczkzr0yfkgWm9XXjy9bKee0zXV6j7TGmjmgpW0j5ZpPgDhpvg+K0IJmx4k+U/XZqs9YzUfeuuyk0jOWK38EEMh2PglOIGvO87orPjV9St/5F18tH//oh+T6Ky8tSzJNeQSyXRC6rv321IRc0rdd9J+nzGmVbb0rS/9s1tXsAa1Z/ea+tREgTmrjFWrpPMRJ3p6xocZCtX4jkKsRmvnvwQnkJA4VwHpt2nBVKpLlyiOQU6FrSKH47IbOGOvMcbNnN/IwoDUEPjexIkCcWOELpnJe4iRPb+mCcX6NHUUg1wgsUbwpArnWJldLg6jVXrz8JWs2yLlnn1ZxBjlpu1x5BLKNB9zVTebHPWjy4zT3uNlXXga0ZnPg/jMTIE6IkDQE8hQnmousOcn67G3mOo803EIsg0C283rDBbJdc93WjvKL0+ZEVyo/uHfMbcOwVjOBTcNDctdQf2mF9XVLuuSmrp6abWRVoaNdN5SbJQfHdJM5LgiUJ0CcEBlpCOQxTvTZe795But0xC3dPXJNZ1earlAmYwLdi7I7ITbjpufCfLACORK7zzy+cTofeSaPzFR+bOJwLpwZYiOmTKeveOcdeXxkRDTL+Dvvepd8avHiXKFo0cNIzP8mp1S+c0GgPAHihMhIQyCvcaLP4M+bZ/GE6cRlnZ3yzZNPbthe82m4hVimvZXFkzZ+D1IguxTHCp8UC5sQrL+unvL0e/3vyA/HDuX6lKc8vRKtnzY1syZAnGRN2A/7eY6T5GmlW80akPmzEGnNijxSLOzIByeQ733kSdm67dmKW80l/16tPALZLgDrrb19clIu3f2O/GxyQlbOaZEnzRGo725pq9dcpvXyPKBl2nGM10SAOKkJV7CF8x4nP5scl0t3bZftU5Py3tZWeWLZydJrntFcjSeAQLZjHpxA1m3dBob2nEAtSrVICuJq5RHIdgFYT+3Xxsfksl3vyNCRw3JWa7s8vvxk6crxPpx5H9Dq8QF13BMgTtwz9dFiEeJkSPehN8/o1ybGpGf2HHnUzCSf1UY+bKPjEYFsRzw4gWyHq3xtUiyyoFre5t8c3C9X9O+UMbMc71fnzpNvmk3q20tLQ/J7FWFAyy+9cFpGnITja5ueFiVO9Bl9xe4d8jeHDpSe0d/sWSG/2jHfpuvUrZEAArlGYIniCGQ7fqXaCGQHEFOY2DI6LHcMD4guibxyYafcsqQn59L4aKeKMqClcAFFMiRAnGQI1yPTRYoTXZb8h+aZrc9uzUReb57Zl5tnN1djCCCQ7TgjkO34IZAd8KtmQgXxjYO75M/37y2tir6/u1d+e/7CatVy8/ciDWi5gRZgQ4iTAJ1eR5eLGCf67NZnuD7Lf2f+Itlo9qhn6V4dzq+xCgK5RmCJ4ghkO34IZAf8ZjJx0OQZX757pzw/dqC0GnqrSan4cHtHxnd1a76IA5pbAlhLQ4A4SUOJMkWNk+dNqoWmx+03z/QL2ufJt5atkA52uMg0oBHIdngRyHb8EMgO+FUy0WdWQX/arIZ+06yK7p0zx6yGfldpVXTRrqIOaEXjXPT2EidF92Bj2l/kOPnJxISs2v1P0jc1JaebXYee6D25tIiPKxsCCGQ7rghkO34IZAf8ypl4c2JcVplV0P2Hi/8gLfKAlpF7MVuGAHFCWKQhUPQ40Wf6qr53Cj/xkcZXzS6DQLbzAALZjh8C2QG/pAl9FXe5Wf180KyC9uFVXNEHtAxcjEkEMjFQJwEfnifJ1Dnd4eICsysRl1sCCGQ7nghkO34IZAf84iZ8XMzhw4Dm2M2YQyATA3US8OV5El98rQv2dOGeLuDjckcAgWzHEoFsxw+B7ICfmtDtgDYM98sfj46UVjdv6OqR31vgx3ZAvgxojlyNmQoEiBNCIw0B3+JEn/m3m2e/CuY1C5fIHyxZWojtO9P4qtllEMh2HkAg2/FDIDvgF99QvsM8Gr9ldqrw6XWbbwOaA5djghlkYqBOAj4+T4p4AFSd7mtoNQSyHW4Esh0/BLIlv+SRpE+YY6NPb22ztJqv6j4OaPki7EdriBM//Jh1L3yNk9fGx+Szu7eXFmaf1douj5uxoGs2uyXbxBMC2YaeCALZjh8C2YKfbvnz6d3vyHaznZtu3/bEspPNdm4tFhbzWdXXAS2ftIvbKuKkuL5rZMt9jhPd2nOVGRN0bFhpxoInl6+Ud5vt4LjqI4BAro9bVAuBbMcPgVwnvx+OHZTVZqcK3TT+w+1zzQEgK0sHgfh4+Tyg+eivZvWJOGkW+WLd1/c40TFhtZlJ/uHYIVk4a5Y8akTyeW3FOhwqLxGFQLbzBALZjh8CuQ5+f7l/VK4d7JMpU1ePjNajo33eKt73Aa2OEKBKGQLECWGRhkAIcaJjg44ROlboO8XNS3vlN+ctTIOHMjECCGS7cEAg2/FDINfI7+6RAXlo73BplfLNnT3y+4v82KliJgwhDGg1hgHFEcjEQJ0EQnqe6FjxVTNm6C5HVy9aIjd0Lq2TWpjVEMh2fkcg2/FDIKfkN3HkiFxpZgSeObBP2o08ftjMCFw0b0HK2sUuFtKAVmxPNbf1xElz+Rfl7qHFiY4ZOnboGKJjxiPmjWOrSb3gqk4AgVyd0UwlEMh2/BDIKfjtOXxYLjM5Za+MH5Iuk2esq5PPamtPUdOPIqENaH54rfG9IE4az7yIdwwxTnTs0DFEx5Jz2ubK42bNymJ2uKgavgjkqohmLIBAtuOHQK7C7+2pCbmkb7voP9/d0ipPmp0qVrb4t1PFTBhCHNAcfK2CM0GcBOfyujocapzEx5JT5rTKtt6Vov/kqkwAgWwXHQhkO34I5Bn4vTh+dKcK/dWvq5AfNb/6F84O79VYqAOag69WUCaIk6DcXXdnQ44THUt0TNGxRWeQdSZZZ5S5yhNAINtFBgLZjh8CuQK/vzowKmsH+mTS/F1XH2/uXi4tgeaNhTygOfh6BWOCOAnG1VYdDT1OJk0u8trBXaJjjOYia05yKOtZag0cBHKtxI4vj0C244dALsNv094h+drIYOkvX+rslnWLuhxQLq6J0Ae04nqusS0nThrLu6h3I06Oek7HGB1r9J2k7m6x1uxywXU8AQSyXUQgkO34IZAT/G4b6pdv7xspffrQ0hXyW4HsVDFTGDGgOfiSBWCCOAnAyQ66SJz8AuJ/MvskrzU7XOj1/y3slK8s6XFA2B8TCGQ7XyKQ7fghkI/x+ztzMt515rXXzycnZJHJM/5TkxvG6UdH4TCgOfiSBWCCOAnAyQ66SJwcD1HHnt81O1yMmtSLU81C8PtMOt8H2zl5TykhkO2+cAhkO37BC+R95qF053C/PLZvT2kz9/PndpgHVK+smBPWThXMIDv4IgVuAuETeACk7D5xciKonVOTZoKmT144dLCUcvGZBYvlFjObvCDQdS8RIQRyyi9VhWIIZDt+QQvkFw4dkGvMQrzdh6dkiVlRfPuSZXKxOTqa63gCDGhERBoCxEkaSpQhTirHwFMm5eK24d0ybHa7WDZ7jjxgDqQ6f+68YIMGgWznegSyHb8gBfKQefj8wdBuedqsItbrEx0L5E7zWquLjdvLRhMDmoMvWQAmiJMAnOygi8TJzBB1fLrFpPt99+C+UsFPml2U/rBrWZDjEwLZ7guHQLbjF5xA/s/m2M/bzMNn6MjRX+hfM7/QLwz4F3qa8GFAS0OJMsQJMZCGAHGShpLIc+YN55eOveHUE1xvN5M4oS0aRyCni5VKpRDIdvyCEcjJHK9V8xfJevOrPPQcrzThw4CWhhJliBNiIA0B4iQNpaNldI3MBvO284n9e4NcI4NATh8r5UoikO34eS+QdeHdn47ukbtH+ksPGz3a84GlrBKuJWwY0GqhFW5Z4iRc39fSc+KkFlpHy+pOF7od3DuTk6VJnZvNAr7PmoV8vp/rikCuPVbiNRDIdvy8Fsi6ZZuehvfy+CGZY3qq+0zeuGSptHn/WHEQFDETDGhuefpqjTjx1bNu+0Wc1MfzkJlDvmd4UL41OixTxsQHzBHVm02KoG4N5+uFQLbzLALZjp+XAlkfHn+0d1juNycVjZuHyntaW+XhpSfJ+1rbHNAKzwQDWng+r6fHxEk91MKrQ5zY+fyNiXH5wsAO+enERGmy51pz2uvvm1P4dBLItwuBbOdRBLIdP+8Esj481vbvlP89OV465/6axV1y1cIl0hL4fpI2YcKAZkMvnLrESTi+tukpcWJD72jdSZMu+JCZSX5gz5BMmH//ly1tsrlnhXeTQAhku1hBINvx80Yg60zxPcMD8s3RkdLrp/e3tZtZ4xVev35y4PpUJhjQUmEKvhBxEnwIpAJAnKTClKqQphF+YWCn/Gh8rDSDvGZRp1zf6U8aIQI5VRhULIRAtuPnhUDWBQzXDOySt6cmZJ7ZDuemJd3yHxd0kmnsIDbUBAOaI5CemyFOPHewo+4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",
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},
"metadata": {},
"output_type": "display_data"
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""
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},
{
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"text": [
"\n",
"After Delta time 3.0. TOTAL TIME 42.00000000000033 (30 steps taken):\n",
"SYSTEM STATE at Time t = 42:\n",
"[[2.11815199 2.1702984 2.24449902 2.30402493 2.32605132 2.30402493\n",
" 2.24449902 2.1702984 2.11815199]]\n"
]
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""
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"text": [
"\n",
"After Delta time 3.0. TOTAL TIME 45.00000000000037 (30 steps taken):\n",
"SYSTEM STATE at Time t = 45:\n",
"[[2.13257541 2.1766169 2.24063469 2.29346029 2.31342543 2.29346029\n",
" 2.24063469 2.1766169 2.13257541]]\n"
]
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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"for i in range(15):\n",
" status = bio.diffuse(total_duration=delta_time, time_step=0.1)\n",
"\n",
" print(f\"\\nAfter Delta time {delta_time}. TOTAL TIME {bio.system_time} ({status['steps']} steps taken):\")\n",
" bio.describe_state(concise=True)\n",
"\n",
" bio.visualize_system(title_prefix=\"Diffusion\", show=True)\n",
" \n",
" bio.system_heatmaps(title_prefix=\"Diffusion\", show=True)"
]
},
{
"cell_type": "markdown",
"id": "9470f6cb-6337-4219-8b7a-7f09273a944f",
"metadata": {
"tags": []
},
"source": [
"**All cells now have essentially uniform concentration**\n",
"\n",
"The \"20 units of concentration\" are now uniformly spread across the 9 bins, leading to a near-constant concentration of 20/9 = **2.22**"
]
},
{
"cell_type": "code",
"execution_count": 11,
"id": "7d3a9c7f",
"metadata": {
"tags": []
},
"outputs": [
{
"data": {
"text/plain": [
"True"
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"bio.check_mass_conservation(expected=20., chem_label=\"A\")"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "cd7745f9-e6c6-44d1-879c-5dcfe83db9d7",
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
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