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"## Diffusion of a bell-shaped initial concentration along an initial gradient\n",
"A single chemical, whose initial concentration is a mix of a bell shape and a gradient. \n",
"Contrary to perhaps an intuition of a \"pile sliding down a sand dune as a unit\", the concentration peak\n",
"remains in place, and simply spreads out from there: reminiscent of an ice cream dropped on the floor!"
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"id": "2b6f0de7-d66f-4f4e-8850-8a092fca20b8",
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"LAST_REVISED = \"May 3, 2025\"\n",
"LIFE123_VERSION = \"1.0.0rc3\" # Library version this experiment is based on"
]
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"execution_count": 2,
"id": "806647d0-4c0b-4abf-8d86-53460378d93e",
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"source": [
"#import set_path # Using MyBinder? Uncomment this before running the next cell!"
]
},
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"execution_count": 3,
"id": "f6e0f263",
"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, check_version"
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},
{
"cell_type": "code",
"execution_count": 4,
"id": "fe26e828-4428-4754-af9b-b54739b3a109",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"OK\n"
]
}
],
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"check_version(LIFE123_VERSION)"
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},
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"id": "79045ff7-ed3f-4c3a-be79-9f8a4476f3de",
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"cell_type": "code",
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"id": "a7c31adc-b1b2-419e-8a09-e049e6a95f5d",
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"# Initialize the system\n",
"chem_data = ChemData(names=\"A\", diffusion_rates=10.)\n",
"\n",
"bio = BioSim1D(n_bins=200, chem_data=chem_data)"
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"cell_type": "code",
"execution_count": 6,
"id": "c984f746-d373-4a8a-89a4-9c3f0a3fca69",
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"# Set up the initial bell-shape concentration, with the peak close to one end of the system\n",
"bio.inject_bell_curve(chem_label=\"A\", mean=0.25, sd=0.1, amplitude=20., bias=0)"
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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Visualize the system state so far\n",
"bio.visualize_system(title_prefix=\"Preparations in progress\")"
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "98c74ccd-f9b9-4c5b-8697-8f9d07e0f6bc",
"metadata": {
"tags": []
},
"outputs": [
{
"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,
"rgb(254, 254, 253)"
],
[
0.09090909090909091,
"rgb(224, 224, 223)"
],
[
0.18181818181818182,
"rgb(197, 197, 195)"
],
[
0.2727272727272727,
"rgb(171, 171, 170)"
],
[
0.36363636363636365,
"rgb(146, 146, 145)"
],
[
0.45454545454545453,
"rgb(124, 123, 122)"
],
[
0.5454545454545454,
"rgb(102, 101, 101)"
],
[
0.6363636363636364,
"rgb(81, 80, 80)"
],
[
0.7272727272727273,
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"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Show as heatmap\n",
"bio.system_heatmaps(title_prefix=\"Preparations in progress\")"
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "123b0b5d-197d-4534-9b8a-3ac67695b19f",
"metadata": {},
"outputs": [],
"source": [
"# Complete the initial-system preparation by adding a gradient slanting to the right\n",
"bio.inject_gradient(\"A\", conc_left = 50., conc_right = 0.)"
]
},
{
"cell_type": "code",
"execution_count": 10,
"id": "96abe826-ae22-4266-a9b1-4adcd8370a87",
"metadata": {},
"outputs": [
{
"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": [
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"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Visualize the complete initial state\n",
"bio.visualize_system()"
]
},
{
"cell_type": "code",
"execution_count": 11,
"id": "851344d7-9da7-4cd0-b809-62bd7047fb25",
"metadata": {},
"outputs": [
{
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BFJADsRJACmLFn5mbIwWZCXUsDUUK7LAjBXb8kIIQ+FFEfgL0FJAhlSCAFFSCMvdACsiBKAkgBXZ0kQI7fkhBCPwoAikgB+IngBTEH4Ms1AApyEKU42sjUmDHHimw44cUhMCPIpACciB+AkhB/DHIQg2QgixEOb42IgV27JECO35IQQj8KAIpIAfiJ4AUxB+DLNQAKchClONrI1Jgxx4psOOHFITAjyKQAnIgfgJIQfwxyEINkIIsRDm+NiIFduyRAjt+SEEI/KqliFfHxuSZsRF5dnREnhoZlhfGRqV7Ykx6xsdl18SENEmNtOj63C01tTJD14Nv0a/WmjpprhXnPfPz5Kt+6XkL6uvlmPomOWFmixze0MA+BdWSKAltB1KQ0MBUWbWQgioLaMKagxTYBQQpsOOHFITAL21FPKcP+8/og/9z5uF/dNiRgGdGR2Vg/0RkTZlVWysnNrXIe5pnOK8nNDZFdi8KziYBpCCbca90q5GCShPP1v2QArt4IwV2/JCCEPgluYin9WH/58OD8ujwgDwxPCy/1Z6AXMdM/aT/DQ1NckxDoxzX2CjH6vfN+ql/oWNYZWJAexIG9+93xGLQ+RJ5SXsbnh0fladHRqTPJxwztNzlTU3yzuZWeWdTs7xDRYEDAjYEkAIbelxbLAGkoFhSnFcOAaSgHGoHr0EK7PghBSHwS1oRj44MygP7+uWBgX55dXxsWvXm1dbpA3+DCkCzvH5KABrFvB/FYR7WnlI5+fHePvnF0KD8YmRIf54uJ0YM3qWCYETh7c3N0qzDlTggUCwBpKBYUpxnQwApsKHHtYUIIAWFCOX/PVJgxw8pCIFfEor4sT5s3z/QK5tUBMz4f/d4pz5oH6+f+B+rn/wv0a831jfLTB3vX8kjaPOyPu1VeFx7MIwg/HxoQL8fkn59z3uc0jRD/qB1pvz+jFbpjEhYKsmBe0VLACmIli+lTxJACsiEKAkgBXZ0kQI7fkhBCPziKuKH+jB9/75e+f5gv/ROHHygfkdji5zVNlPOmDFT5upY/riPYnc0NkObfjE0pF8D8oPBfdLjGXJ0WkurfLJ9DsOM4g5mgu+PFCQ4OFVUNaSgioKZwKYgBXZBQQrs+CEFIfCrVBFmrP5DgyoC2hvwoD40eycG/64Ou/mgSsCZ+rWgLpphQOW2s1gp8Jf/z9rOO3v3yM90OJR7LNNej9Wz5sofzmgrtzpcV6UEkIIqDWzCmoUUJCwgVVYdpMAuoEiBHT+kIAR+URZhhtn8QB+O/22gzxGCITnYI/BmfUA+s7Vdzmptk8Pq6qOshlXZ5UqBe1PT5n/s75Vv9O6W53XlJHOY9n585hw5r21WxYdDWcHg4sgIIAWRoaVgDwGkgHSIkgBSYEcXKbDjhxSEwC+KIn6q4+2/27dHZWCfjHhE4I31jfKhtkkROKKuIYpbh16mrRS4FTI69B/aQ7JO5eAR5WOOVl3FaIWK0Z/Mmi1HpoRH6IAp0CGAFJAIlSCAFFSCcnbvgRTYxR4psOOHFITAL8wi7tI5Al/f2zP1ibgp+/X1DfIhHRZ0lsqA+T5tR1hS4G33E7q/wm3KyQwxcg/mHaQtM8KtL1IQLk9KCyaAFJAZURJACuzoIgV2/JCCEPjZFmGGx2zo3ytf04fcHbp7sHsYEfjozFmpn1wbhRS4jAyvb/b2yHeVnxlqZQ4z7+CiWXMckeLIDgGkIDuxjrOlSEGc9Kv/3kiBXYyRAjt+SEEI/Motok9XDLq9f4+sUxlwV9oxKwf9SftsObG5RTqqZBnOKKXAZW8mYZteFjPv4OWxyb0ZXqe9Kp/SScnn6PAijuongBRUf4yT0EKkIAlRqN46IAV2sUUK7PghBSHwK7WIXRPjcpt+un17X6/sO7Ds5qnNM+SSWR1iVhGqtqMSUuBlZoYUXb+7W17S3ZTNYeYafKljvpyijDmqlwBSUL2xTVLLkIIkRaP66oIU2MUUKbDjhxSEwK/YIrbp7sK37t0t39HeAfc4o6VNLpndIW/SnYWr9ai0FLgc/1X3bzBy8NyBFYs+oKz/eu48WZjglZqqNQcq0S6koBKUuQdSQA5ESQApsKOLFNjxQwpC4FeoiBf1ofQre3bJ93RZUTOwxSweerbu1Gt6BswQl2o/4pICw3VU5xncpqs43az8B3Xuxgxdregy5f5JHaKV3EVcqz0jomkfUhANV0o9lABSQEZESQApsKOLFNjxQwpC4JerCLND7427d8kD+on1hJ7UJDWyUlcQuljHuSd5X4GwkcQpBW5bTC/N1T07nU3fzGFWcbq+Y0HqJ3GHHas0l4cUpDl66ak7UpCeWKWxpkiBXdSQAjt+SEEI/PxFPD48JH+/d5f8aGjA+VVbTY2cr6sIXdg+t2omD5eCLQlS4Nb3IY3JFbt2iJEEc5idkdfOnZ/JuJQSwzScixSkIUrpryNSkP4YJrkFSIFddJACO35IQQj8vA+cX9GVhH52YGOtObW1ckH7HPlE25xM77qbJCkwsRrWYUQ36XCiW3VYkRleNFOl7co5nbKqbbbUhpgPFFVZAkhBZXln9W5IQVYjX5l2IwV2nJECO35IgSU/szL+Jl3t5qsqA7/WDbXMsaCuTnsF5mjvwGxp1iFDWT+SJgVuPF7SuR6Xaa+BK3Fmt+i/61wgb2msvhWgspCDSEEWohx/G5GC+GNQzTVACuyiixTY8UMKLPht3Ncnt+gwoecPrG6zSFe1+bTOFzivbZZFqdV3aVKlwCV9r04A/3xPl3TpUrHm+IjO+/irOfOkVSclc6SHAFKQnliluaZIQZqjl/y6IwV2MUIK7PghBWXwu113z/267jPwyoFNso5r0E2y2jucFYU4phNIuhSYGvfrMKJrdflSd7lYs7fBbfMOkxMamwhpSgggBSkJVMqriRSkPIAJrz5SYBcgpMCOH1JQJL8B3WTsjv5euU2HCbmfKL+5ocnZY+C0ltYiS8nmaWmQAjcyT+gQsE93b5enRkect66ePU/+VJcv5Ug+AaQg+TGqhhoiBdUQxeS2ASmwiw1SoPwefnSLrL7yhimSq1acJldcdM7Uz5etuUUe3PyY8/PSJUfLxnVrDqG+bdegXRSq+Oq9ExPyDe0V+LZOSu3TT5PN8W7ddfjPdK17dsgtLvBpkgK3RTdqzP9OJyOb4z1NLfI17TWYV1tXXIM5KxYCSEEs2DN3U6QgcyGvaIORAjvcmZeCra/ukNPPvUrWXXe5nHTiMvH/fNe9P5Tb7rhPNt9zs0N6xeq1svwtSw6RBqRgehLu0vHlt2qvwPq+vc6mV+Z4n/YIfFqXFX2bSgFH8QTSKAWmdWafiQt2bpMXdM7IXJ1f8BUVg99rnlF8wzmzogSQgorizuzNkILMhr4iDUcK7DBnXgrcXoInH1o/RfLksy+RC88/U1aedeo0CfBLgrkIKTiYhGZo0NdUBu5QGTBLV5rjjJY2Z5jQmxoa7bI1o1enVQpMuPbpsLErdu2Uf9HJyOa4QJctXTt3XkYjmexmIwXJjk+11A4pqJZIJrMdSIFdXDIvBQaf+fT/iadekE0brtWegp1y9Ze/NdUz4BUEc26QRCAFIq/pZlZmj4E7dBKxe5w1Y6ZcpsOEjtGJxBzlE0izFLit3qDzSa7s2eH8eLzK4TfmLZLX6a7IHMkhgBQkJxbVXBOkoJqjG3/bkAK7GCAFyu/6W++W+3/wiHT3TD7QeucUHH/KKrnm0vOcXgOvFBiBOHLxAue9iQNj5e1Ckc6rt46Myhe375A7du+REeVgHvM+Mne2XL1wgRzdSM9AGFF1d2qY7Hcp/4h7x4enhofljOdelOdGRqRNN6b72hGL5bw5TEIuP6LhXTk8OiFNDSwhGx5RSoqKgO3fwajqRbnJIFCrm2lylE8g81JgPvn39gwYlEYEXDEopqfgtQxONH5Rx4n/ve4xcK/uNTCmzBp1k7EVuj79pbrPwGG63wBHeARaW+qlRv/Q9Q+MWhWahP9MB3U40WXdO+RfB/udtnxQh5bdoBuesaeBVWhDuZieglAwUkgBArY9BTzykWL5CBzW0QIgCwKZlwLTS/DYr546ZEUhM5xo0cIOuXHtxcwp8CXX06OjcuOebrlfH+om9Hdmx+FzdbOxi1UG5utOxBzhE6iG4UN+Kmbjuqt1N2QzCf2I+nr5zrzFzDkJP3VKKhEpKAkXJ5dJwFYKyrwtl2WEAMOH7AKdeSlw5wj4Vx9yhwyx+tBkgpmVZK7Xzan+fXCfM33YfLL70ZntcqGuJtTBUpN2/woLfbJ2oKegz7KnINJKllH4c9rb9LGdr4p5bdCekL/QyeirZ84poyQuCYMAUhAGRcooRAApKESI39sQQAps6IlkXgoMPvPg/4Wb7pwi6Z1DYN7M8j4F/z0yrOvNd8v/Gxpw+LTX1sjHdQWZ1SoD7TounCN6AtXYU+BSMytUfVZ7DP5Bew7McXJzi9zSuUjmklvRJ5bvDkhBxZFn8oZIQSbDXrFGIwV2qJECO37O1dW4+tBPhwflRp0z8PDQ5MZsc/Qh7ZMqAh+fOVvamMgTQtYUX0Q1S4FLwcwxuKRru7OMrdnk7Ou6p8G7ddMzjsoRQAoqxzrLd0IKshz96NuOFNgxRgrs+FWdFGzWHoGb9/TIz0YmZcA8oF2o8wXO10nEM3TIEEflCWRBCgxV73AiM5nwovbZctXsecK09crkHFJQGc5ZvwtSkPUMiLb9SIEdX6TAjl/VSMF/6FwB0zPwKx0uZA6zgtCfzprjTCJu0snEHPERyIoUGMKmp+AvdTjR3QeGE72tsVnWz1/EvJUKpB9SUAHI3EKQApIgSgJIgR1dpMCOX6qlYOf4uKzr7ZH/1N6B34yOOG0xK8F8qr1DZaA9BDIUEQaBLEmBy+ufB/rliu7tzupEC3RVq/W6OtGbG5vCwEkZOQggBaRGJQggBZWgnN17IAV2sUcK7PilUgqG9EHr8z1dcqdn92Gzu+wluvrLH+kuxBzJIpBFKTARMKL6UV2daJvulm2Or3YslLNbyc+oshMpiIos5XoJIAXkQ5QEkAI7ukiBHb/USMHeiQn514E++af+Xvn5yNBUq0/S1V7O08nDZ+gmUhzJJJBVKTDR6NG8vaBrm/xMJ76b41O6ZOln53QmM1AprxVSkPIApqT6SEFKApXSaiIFdoFDCuz4JVoKzPjsBwb2yb/s65Uf6JwB9zCTh83uw+fOnCVH1jWEQIAioiSQZSlwud6hvVp/0bPT+fG0llZdtnShtDDxPdS0QwpCxUlhOQggBaRGlASQAju6SIEdv8RJgdll+Ce6jOg9+/bKJh2X3bffbDU2ufPw6TNa5cM6cfi9zTOEdYRCCHyFikAKJkGbPTPO3fmK7NbegyUNjXLX/MOd+QYc4RBACsLhSCn5CSAFZEiUBJACO7pIgR2/xEjBltFhuUeHBt2rq7bsnBifatU7Glvkw7rz8Jkz2pxdiDnSRwApOBgzM79g5Y5X5FndBblTe7w2LFgsSxuYgBxGViMFYVCkjEIEkIJChPi9DQGkwIYeOxrb0TtwdVybl70yNib36DyB7+nQCvOQ5B5mSND/0QmZ52ivwOG6mhBHugkgBYfGb9/+CfmEzjP4sfaImeVyb9WNzn5fhxRx2BFACuz4cXVxBJCC4jhxVnkEkILyuLlX0VNgx8+5upJSsEOXEX1AReC/dOLlAzo8yD1a9OHI9Aas0HkC72An2BCimpwikILgWHxOV9D6Tv8e55dXze6UT7fPSU7QUlgTpCCFQUthlZGCFAYtRVVGCuyChRTY8YtcCsz46cdUAJ7U4UFbhofk+54Jw+bmZvWgFa2z5A9a25x5AxzVRwApyB3TDTpk7sqeHc4JZ6sUf7XzsOpLgAq1CCmoEOiM3wYpyHgCRNx8pMAOMFJgxy90KXhCH/5/oQ//j+mGYr/UiZUveIYFuVV9u+7yaiTgg7qngNl5mKO6CSAF+eNrJtZ/vOtV6ddJ9b/b1Cy36zKLZP0AACAASURBVEZnc2qZP1PqvwqkoFRinF8OAaSgHGpcUywBpKBYUsHnIQV2/KykYI/2AvxcewEe16+fqwj8Ur/MxmL+Y5lOpFze3KwPPDN05aAWZ4IlR3YIIAWFY/2cyvMf68pEZp6NmUdzp4rBcbpCEUfxBJCC4llxZvkEkILy2XFlYQJIQWFG+c5ACuz45ZUCs1LKLl0JqH/i4IP+w4P98ivtARjSTzW36KuZNOk9OvQTzrfrnIC36tdy/dTzLfrFsKAQgpTiIpCC4oJnJPvjBzY6a6upkXXzFskpuvwuR3EEkILiOHGWHQGkwI4fV+cngBTYZQhSYMdPPrvtNXm+f0h26QRg81DSNaEiMD4hA76H/Vy3Mb0ARgJMT8BbVQDYTMwyIFV4OVJQWlA/071dNupkfHOs0d2PP6m7IHMUJoAUFGbEGfYEkAJ7hpSQmwBSYJcdSIEdP6n55a9zlmB2Du4wX7rB0twDrwvqG+R3GhrkGB3a8IZ6hjdY4s/E5UhB6WH+eu8e+eKeLufCP25tl+s7FpReSMauQAoyFvCYmosUxAQ+I7dFCuwCjRTY8ZObdnbL+ND45MO/fs1VATCv7Ux0tCTL5S4BpKC8XPiBrtR1Yddrzjwds0rXt3SewUwdVsQRTAApIDMqQQApqATl7N4DKbCLPVJgx8+5upL7FIRQXYpIGQGkoPyAPTU6Iit1ArLZ3+N12kt3t+6AfIRu7scxnQBSQFZUggBSUAnK2b0HUmAXe6TAjh9SEAI/ishPACmwy5Bunex/7o5X5AkVhFnag3fH/MWyXJf15TiUAFJARlSCAFJQCcrZvQdSYBd7pMCOH1IQAj+KQAqizoFhHUJ0kQ4l+ncdUmR29rhJNzn7Q93sjOMgAaSAbKgEAaSgEpSzew+kwC72SIEdP6QgBH4UgRRUKgeu39MtN/Xudm63Wlcl+pyuTsQsg0n6SEGlsjDb90EKsh3/qFuPFNgRRgrs+CEFIfCjCKSgkjlwv+4VcrEuWzqqe4X8L93H4BvzDpOWGnZARgoqmYXZvRdSkN3YV6LlSIEdZaTAjh9SEAI/ikAKKp0D/60bB56rE5B3694iS3R54O/qPINFdWZgUXYPpCC7sa9ky5GCStLO3r2QAruYIwV2/JCCEPhRBFIQRw6YHcdX6gTkZ8dGZY5OQN4w/3A5obEpjqok4p5IQSLCUPWVQAqqPsSxNhApsMOPFNjxQwpC4EcRSEFcObBPdx7/RNc2+fHQoDToHga3dC6UM1qyOQEZKYgrC7N1X6QgW/GudGuRAjviSIEdP6QgBH4UgRTEmQMTevO/3t0l3+zb41TjM+1z5fLZHXFWKZZ7IwWxYM/cTZGCzIW8og1GCuxwIwUH+N117w/lCzfd6fzUOXeWbL7n5imyl625RR7c/Jjz89IlR8vGdWsOoc7mZXZJyNVIQRJyYOO+Prli13YZ18r8fkur3KoTkJsytDYRUpCELKz+OiAF1R/jOFuIFNjRRwqU3/W33i3rN35fnnxo/TSaRhZuu+O+KUlYsXqtLH/LErnionOmzkUK7JKQq5GCpOTAT4cHZdXOV6VPVyZaqhOQNyw4XDpr65JSvUjrgRREipfCDxBACkiFKAkgBXZ0kQLld/wpq2TThmvlyMULptH0S4BfEswFSIFdEnI1UpCkHHhRJx6foysTvTw2Jgvq6uQunYBsViiq9gMpqPYIJ6N9SEEy4lCttUAK7CKbeSl4+NEtcvWXvyXdPXunSL7/5OVy49qLnZ9PPvsSufD8M2XlWac6P5vzV195wyG9Ctt3D9lFgashkIdAa3O96BxY6R8cg1OFCOzVpUo/oisTPTY8JC06hOibCxbLqS0zKnT3OG6zX1qbG6RW86yPPIsjAJm5Z2tTvehiX+RZZiJe2YYunNNc2RtW2d0yLwXuXALv0CHTc7BqxWnOECHz/TWXnjdNCrw9CxMT+6ssLWhOkggYIRB9MN2vQ1o4KkfAKNjqrS/L+t17xGxt9qXDDpM/n99ZuQpU8E6j4/ulsd4kGnlWQeyZvBV/zzIZ9oo1utZ8ssFRNgGkwDdnwJA0E4vNYXoLiukpYPhQ2fnHhUUQMMM6avR/0r6B0SLO5pSwCXyjb7f8ze5uMasU/eGMNrmp8zCpxm3OGD4UduZQXhABhg+RF1ESYPiQHd3MS0HQcCCvFDCnwC7BuNqeAFJgz9C2BLOPgdnPwOxr8LbGZrlDd0A2G55V04EUVFM0k9sWpCC5samGmiEFdlHMvBQYfKY34Iz3vcsZLrT11R1y+rlXybrrLpeTTlwmrD5kl2BcbU8AKbBnGEYJvx0bkXN1nsH28XFZqBOQb1cxWNpQPTsgIwVhZAllFCKAFBQixO9tCCAFNvR0AKmOU2agsjI0cwfcwzuHwLzHPgV2ScbVdgSQAjt+YV7dNTEu52x/RYwgmONuXZnovc0tYd4itrKQgtjQZ+rGSEGmwl3xxiIFdsiRAjt+ztXMKQgBIkXkJIAUJCs5zB4GZi8Ds6eBOf60fbZcPXtesipZRm2QgjKgcUnJBJCCkpFxQQkEkIISYAWcihTY8UMKQuBHEfkJIAXJzJA/37VD7trX61TuZO0tuK1zkbSneJ4BUpDMPKu2WiEF1RbRZLUHKbCLB1Jgxw8pCIEfRSAFac2BDf29cvXunTKqvQeH19fLnfMWy3Ep3egMKUhrFqar3khBuuKVttoiBXYRQwrs+CEFIfCjCKQgzTnw65Fh+biuTPTa+Jg06zr/t3QulNN16dK0HUhB2iKWzvoiBemMW1pqjRTYRQopsOOHFITAjyKQgrTnwG7dAfkTO7fJz0YOzjP4C51nkKZFS5GCtGdhOuqPFKQjTmmtJVJgF7nYpcC76k+xTVm65GjZuG5NsadHfh4TjSNHnOkbMKcgHeEf12p+UTc5W6ebnZnjPU0t8q156ZlngBSkI8/SXkukIO0RTHb9kQK7+CRCCp58aH3RrTD7Bty76WGkoGhinJh2AkhBuiK4aaBfLu7eLkOSrnkGSEG68iyttUUK0hq5dNQbKbCLE1Jgx8+5mp6CECBSRE4CSEH6kuPp0RFdtnSbvDQ+mpp5BkhB+vIsjTVGCtIYtfTUGSmwixVSYMcPKQiBH0XkJ4AUpDNDzH4GF+sE5P8YGnAaYPYzSPI8A6QgnXmWtlojBWmLWLrqixTYxSt2KbCrfjKupqcgGXGo1logBemO7M29u+Xv9nTLhDYjyfMMkIJ051laao8UpCVS6awnUmAXt1RIgTsZuZS5B3ZYSrsaKSiNF2eXRgApKI1XEs9+SHsLLureJr0TyZ1ngBQkMXOqr05IQfXFNEktQgrsopFYKTATir9w051Trdu04Vo5cvECu9ZGdDVSEBFYinUIIAXVkQivjI3Jx7peld/ofIMk7meAFFRHniW9FUhB0iOU7vohBXbxS5wUXLbmFnlw82NTrVp33eVy0onL7FoZ8dVIQcSAM148UlA9CTCiKxJd0rVd7hvsdxqVpHkGSEH15FmSW4IUJDk66a8bUmAXw8RIgXe/gmsuPU9WnnWqmPeQArsAc3X6CSAF6Y+hvwX/t2+PfH53l4zpL5IyzwApqL48S2KLkIIkRqV66oQU2MUyEVKQa84AUmAXXK6uDgJIQXXE0d+Kx4eH5BO6OtHOiXE5vL5e7py3WI5raIytsUhBbOgzdWOkIFPhrnhjkQI75ImRgs65s2TzPTcf0hqkwC64XF0dBJCC6ohjUCt2qRCY/QweHxmKfZ4BUlC9eZakliEFSYpG9dUFKbCLaSKkwDTBO3zIHTKEFNgFl6urgwBSUB1xzNeKz/V0yXf69zinnN82S66c3Slzamsr2nCkoKK4M3szpCCzoa9Iw5ECO8yJkQK3GUw0tgsoV1cfAaSg+mIa1KJ7B/rkM907ZFgnIy+qq5fb5y+WN1VwOBFSkI08i7uVSEHcEaju+yMFdvFNnBS4zfEuSRo0tMiu2eFezepD4fKktEMJIAXZyYindbnSC3SewXNjo9IiNfKljgXy4daZFQGAFFQEc+ZvghRkPgUiBYAU2OFNrBR4m8XmZXZB5up0E0AK0h2/Umtvegr+qmenfLe/17l0WUOT3NJ5mBzT0FBqUSWdjxSUhIuTyySAFJQJjsuKIoAUFIUp50mxS4F54C9lp2LTg3Dvpodl47o1di0P8Wp6CkKESVHTCCAF2UyKTQP9cnnPDtk7MeEA+Ks5nbJ65pzIYCAFkaGlYA8BpIB0iJIAUmBHFymw4+dcjRSEAJEichJACrKbHGZ1oku6t8uPhgYcCO9oapGvdy6UhTrnIOwDKQibKOUFEUAKyIsoCSAFdnSRAjt+SEEI/CgiPwGkgAy5Z1+fXLN7p9NrMLOmRv5mbvhzDZAC8qwSBJCCSlDO7j2QArvYJ0IKSm3C0iVHM3yoVGicn1oCSEFqQxdqxbu01+BT3a/Jj4cGnXLf19IqN3YsDG3pUqQg1HBRWA4CSAGpESUBpMCObuxSYFf9ZFzN8KFkxKFaa4EUVGtky2vXXft6Za1ORO7bv186a+vkZh1OdErzjPIK81yFFFgjpIAiCCAFRUDilLIJIAVlo3MuRArs+DlXIwUhQKSInASQApLDT2DH+Lj8mfYaPDI82WuwsrVd1s6dJ6015W94hhSQZ5UggBRUgnJ274EU2MUeKfDxO/nsS2ThvLmHDE/ybqgWNHQJKbBLQq7OTwApIENyEbijf6/8ze5uGdg/IYfX18vXdOnS5Y3NZQFDCsrCxkUlEkAKSgTG6SURQApKwjXtZKTAg8QIgTm8UmCWQL3tjvtk8z03O79bsXqtLH/LErnionOmrkQK7JKQq5ECcqB8Ai+Pj8qnurbLz0eGxPQTrJ45W66a3SkNOiG5lAMpKIUW55ZLACkolxzXFUMAKSiGUu5zkIIDbMzD/lmnnySvvNYlj/3qqameAr8E+CXBXI4U2CUhVyMF5IAdgf16+bf79siXtNdgSDc/O1Y3Ortt3iJ5Q31j0QUjBUWj4kQLAkiBBTwuLUgAKSiIKO8JSIHi8T74X3/r3YdIgek9uPD8M2XlWac6IB9+dIusvvKGQzZcQwrskpCrkQJyIBwCL46NykVdr8mvR4ednoIrZ3XIhe1znB6EQgdSUIgQvw+DAFIQBkXKyEUAKbDLjcxLgZkvYI4b117svPqlwOy4fM2l502Tgk0brpUjFy9wrtnVO2wXBa6GQB4CLU11+tsaGRwegxMEChIw+x/fsqdHvtzTLSO6QtHbm5vltgWL5Kj6hpzX6mkyo7lOs6xGBsizgow5oXwCLY2aZyqs5Fn5DLkyN4GO9ibwWBDIvBSYnoDunr3TEHbOneXMIyimp2B41Pw3zAGBaAjU1eqjmg4PHxs3g0Q4IFAcgd8OD8vHXn5Zfjk0JG21tfKRWbNlzcIFMqfOSOahx7haQWNdLXlWHFrOsiDA3zMLeFxakEBTQzH9ogWLyewJmZcCf+T9PQXMKcjsv43ENJzVhxITilRW5Cu9u+XaPd1O3c2+Bl/omC8fbGmb1haGD6UyvKmrNMOHUheyVFWY4UN24UIKfPz8UsDqQ3YJxtX2BJACe4ZZL+Gp0RH5zK7t8quRyaGOH26dKZfpfAPvkCKkIOtZUpn2IwWV4ZzVuyAFdpFHCgpIgfk1+xTYJRlX2xFACuz4cfUkATPI0axQdN2eXc6+BvX680fbZsvlsztklg4vQgrIlEoQQAoqQTm790AK7GKPFNjxc65m9aEQIFJETgJIAckRJgGzG/KX93TJP+3rc0ShXeesXDKrUz49r0OaVQ56B0bDvB1lQeAQAkgBCRElAaTAji5SYMcPKQiBH0XkJ4AUkCFREDBDiv6yZ6f8dHjQKf4o3dvg8/MWyPvrW6K4HWVCwCGAFJAIURJACuzoIgV2/JCCEPhRBFJADsRH4KGhAfnr3V1iJMEcJzQ2yRfnzpe3NjbHVynuXLUEkIKqDW0iGoYU2IUBKbDjhxSEwI8ikAJyIF4CZhjRvSP98sWuLtk+Prkfxukz2uRzszvz7m8Qb625exoJIAVpjFp66owU2MUKKbDjhxSEwI8ikAJyIH4CZpiaWZvo2h075da9u6cmI5+vk5H//MBk5PhrSQ3STgApSHsEk11/pMAuPkiBHT+kIAR+FIEUkAPxE/CuPtQ1MS7X7u6Wf9jXK+NaNTMZ+dPtnXLBzFnSYHbS44BAmQSQgjLBcVlRBJCCojDlPAkpsOOHFITAjyKQAnIgfgJBS5I+Mzoqa3fvlB/pvANzHFFfL5/VIUUfmjFTUIP4Y5bGGiAFaYxaeuqMFNjFCimw44cUhMCPIpACciB+Avn2KTArFJmVitzJyMc3NMq1HQuYjBx/2FJXA6QgdSFLVYWRArtwIQV2/JCCEPhRBFJADsRPoJjNyzbq3gbX6h4HZq8Dc6xsbZeLZ82V19U3xN8AapAKAkhBKsKU2koiBXahQwrs+CEFIfCjCKSAHIifQDFSYGo5LPvlm7175CbdGXlQvzfHB1ra5DNzOuQN9Y3xN4QaJJoAUpDo8KS+ckiBXQiRAjt+SEEI/CgCKSAH4idQrBS4Nd2lk5G/vrdHbu/b68hBa02tnNTcIivbZsn7WlrjbxA1SCQBpCCRYamaSiEFdqFECuz4IQUh8KMIpIAciJ9AqVLg1njvxIR8q3e3rO/bIz37zY4HIofrhOSP6lKmRhDm1NbG3zhqkBgCSEFiQlGVFUEK7MKKFNjxQwpC4EcRSAE5ED+BcqXArfmI9hZ8T+ccfFv3OPifscndkZt0jaIPtbbJBe1zxUxO5oAAUkAOREkAKbCjixTY8UMKQuBHEUgBORA/AVsp8LbgkeEh7T3okQcH98lk34E4KxV9bOZsOVN3Smavg/jjHVcNkIK4yGfjvkiBXZyRAjt+SEEI/CgCKSAH4icQphS4rdk2PqZysEfu2rdHeicmJyV36HAiM6zooyoIi+rq4284NagoAaSgorgzdzOkwC7kSIEdP6QgBH4UgRSQA/ETiEIK3FYN6dCif+jvlW/r3INnx0adt+v0y0xIXjVzjrxXJyhzZIMAUpCNOMfVSqTAjjxSYMcPKQiBH0UgBeRA/ASilAJv6zbr7shmYrLZJXmy70DkGN3n4KPts+WPWmdJWw17JcefDdHVACmIji0liyAFdlmAFNjxQwpC4EcRSAE5ED+BSkmB29IXtcdgncrBP2oPgrvfQYtOTD67daZcNadThxmZvgSOaiOAFFRbRJPVHqTALh5IgR0/pCAEfhSBFJAD8ROotBS4Le7fv1827tsr39q7R7aOTw4tMsc7Glu092CWfGjGzPjhUIPQCCAFoaGkoAACSIFdWiAFdvyQghD4UQRSQA7ETyAuKfC23KxW9J2+3fLjocGpt49raJDlKghntrYz9yD+NLGuAVJgjZAC8hBACuzSAymw44cUhMCPIpACciB+AkmQApfCK2Njcnv/bp2c3CfdunOye3TqkKI/0CVNP6RDjN7RZAYbcaSNAFKQtoilq75IgV28kAI7fkhBCPwoAikgB+InkCQpcGkYHfgv7TX4t4E++f5Av3R5BGG+CsIZOrTozLY2pycBQYg/h4qpAVJQDCXOKZcAUlAuucnrkAI7fkhBCPwoAikgB+InkEQp8FIxKxU9OqyCsK9fNg32i9kDwT0O0/0OzjjQg2A2SeNILgGkILmxqYaaIQV2UUQK7PghBSHwowikgByIn0DSpcBP6FcjQ04PwgMD+8SsZOQeh9fXywdb2pw5CG9ubIofLDU4hABSQEJESQApsKOLFNjxQwpC4EcRSAE5ED+BtEmBl9hvRke0B6FXHtAehKdHDwrCUXUN8sFWMwehXd7U0Bg/ZGogSAFJECUBpMCOLlJgxw8pCIEfRSAF5ED8BNIsBV56z2mvwf06/+ABlYQnVBbcY05trW6S1igf0EnKH9ChRot0yBFH5QkgBZVnnqU7IgV20UYK7PghBSHwowikgByIn0C1SIGX5Mu678H9+/bpHIQ++cXw0NSvZtTUygk6tOiNDU3ynuYWeWfzDJmt0sARPQGkIHrGWb4DUmAXfaRA+Z189iXS3bN3iuS66y6Xk05cNvXzZWtukQc3P+b8vHTJ0bJx3ZpDqG/bdXBNbbtwcDUEphMwD2s1NTXSN3BwWAScIBA2gWqUAi8js3KRmaT8gM5D+KlOWD640KmuuKEnmuFF71Y5eI9+vbNphsysZT2jsHPMlIcUREGVMl0CSIFdLmReCra+ukNu/MY/yo1rL3ZI3nXvD+ULN90pTz60furn2+64Tzbfc7Pz84rVa2X5W5bIFRedM0UeKbBLQq7OTwApIEMqQaDapcDLsG9iv4rBgPxkaEAe0S8zJ2HCc4LpM1imPQnv1r0Q3tPSKic2NUur9i5w2BNACuwZUkJuAkiBXXZkXgr8+IwknH7uVbJpw7Vy5OIF0yTASINXEsz1SIFdEnI1UkAOxE8gS1Lgp907MSH/pb0HPxkc0H0RBuSpsRExS6C6h5l9sEyXOn23DjUyPQlGElqQhLKSFikoCxsXFUkAKSgSVI7TkAIfmIcf3SKrr7xhqqfADC268PwzZeVZpzpn+n+PFNglIFcXJkBPQWFGnGFPIMtS4Ke325EEFQQjCfrqXdHInGskweyHMCkJrbK8uVma2D6tqCRECorCxEllEkAKygR34DKkwMfPSMAZ73vX1PCg409ZJddcet40KXB7Eszle/oPrnBhFw6uhsB0Ak0Ntc6cgqER7yhoSEEgPAL79++X5iadu6JFkmfTuXaNj8vDuh/Cfw7ukx8PDMhznmVPzdlN+u/TiMF7Z7TKe3W4kfm+Ud/j4O8ZOVBZArPbWHrYhjhS4KFnhOBty46dml9gflVMT8G+oYM7a9oEg2shEESgoX5yLPPomHfUM6wgEB6BcR1j33xAPkfIs4Jgd+huypv3Dch/9vfLZpWFF3yS0KxCcHZ7uxylk5fnN9TL/9YlUI9ubChYbhZOaKgzH3KIkGdZiHbl29jazFLDNtSRggP0goTA/Mo/sZg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"autorange": true,
"domain": [
0,
1
],
"range": [
0,
199
],
"title": {
"text": "Bin number"
},
"type": "linear"
},
"yaxis": {
"anchor": "x",
"autorange": true,
"domain": [
0,
1
],
"range": [
5.575412188433365,
82.92780281273757
],
"title": {
"text": "[A]"
},
"type": "linear"
}
}
},
"image/png": 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""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Do several round of diffusion, over relatively small times\n",
"for _ in range(5):\n",
" bio.diffuse(total_duration=20, n_steps=1000)\n",
" bio.visualize_system(show=True)"
]
},
{
"cell_type": "code",
"execution_count": 12,
"id": "b170f751-a135-4cc6-9d4b-2b1c45b17652",
"metadata": {},
"outputs": [
{
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kGblQHwJHHNRTn4ILUipSkECgkYIEIFJESQJIAcnRCAJIQSMocw+kgByoJwGkwI0uUuDGz7saKUgAIkUgBeRAqgSQglTxF+bmSEFhQp1KQ5ECN+xIgRs/pCABfhRRngA9BWRIIwggBY2gzD2QAnKgngSQAje6SIEbP6QgAX4UgRSQA+kTQArSj0ERaoAUFCHK6bURKXBjjxS48UMKEuBHEUgBOZA+AaQg/RgUoQZIQRGinF4bkQI39kiBGz+kIAF+FIEUkAPpE0AK0o9BEWqAFBQhyum1ESlwY597Kdh0wUfk8EPWybabrvVIPfDQLrnimutXUHvs/q2RJG+78z751OduWXrvhPXHLJXlv8hEY7ck5GqkgBxInwBSkH4MilADpKAIUU6vjUiBG/tcS4EJgR1RUlBKAsI4r772C3L1P10oRx15mPeWlXnu2afLx6+8yPu9+5Fd0mHfW1qlR9de7tZ1vruldeG7/t6jr3fLws/eOfZ7i+i5bQvn6Jf3mr1v53nn2PmLZSxe672m77W6xZurM0iAicYZDFoGq4wUZDBoGawyUpDBoGWoykiBW7ByKwVbrrhOzt98hjz34h7Z+cjjK3oKqpWCKEmw12647irvrZZfPuoWAYerB1QUDm9vl0Nb9autTQ5va5fD2juWfj7UftfXe1UmOLJLACnIbuyyVHOkIEvRym5dkYLsxi4LNUcK3KKUSykwIdh44nrv0/zP3nh7pBQEscURhGDZfhmPvzImE/NzMq5fE3Ny4Of5ef3Zvuw9/T6nX7Lw+9icnbvws7228L7+bL/Pi4zbz965i9cvXltLuPtUCnxpMFHwflZ5OGxRGkwq7OcB7a3gaD4CSEHzxSSPNUIK8hjV5msTUtB8MclTjZACt2jmTgpsuE/wk/ywFIRx2UO+Hf6cg3I4/fkFYYkYHp9xi0KNV78yOyMvz8zKy7PT8sK0fp+x79P6+4y8NDMjL+rvz05XXzcbomQ9D0d0LPY2qDi8pqPdE4gj9PVjO7vkSP3O0VgCne2toqGRyWk1Tg4I1IHAvH740NXRRp7VgS1FLifA3zMyop4EBnp4RnHhmzspsDH/r+wdXMHk4HWrZccdn1/xuj/xuFJvgS8E99766aX5BX5hw2PTLjGo+7V752Y9SfijCsQLKgov688mD/aa/fyiJxczXq9EpaNX5zq8qbNTjuvolDd2dctxXZ3yBpWIN+vPHPUh0Nlhw79aZErFjwMC9SAwr/nV1dGi/9+i8kme1YMxZS4QWJAC8ox8qA+BgV6b5clRK4HcSUEYRKWegmqkoJwQ2P3ysvrQoA5Zenl2Vv5okuB9mUxMe7+bODwxMylDOoyp1PE67UV4g/YqrO/okmNUGo6z7/qazXXgqJ0Aw4dqZ8eV1RNg+FD1rDizdgIMH6qdHVdWJsDwocqMyp1ROCmIWk3o5A3HLU0cNonYum27+D0H4d+jYOZFCqpJpT3a6/A77WV4YnpSnpmekiempuT3s1PyrPY0lDpsVSXrXThGheFPdAiSicOxKgzHqzhwVCaAFFRmxBnuBJACd4aUUJkAUlCZEWfUTgApqJ2dXVk4KfAf8n1s4X0HwhJQajhScBhRkaSgVLpN69Cj3+vcht+rKPxepeHJqQn5vfYyPKW/D5cYlmTTmm2OwrEmCe1dKgqd3tef6HCk19C7sIQaKXD7I8fV1RFACqrjxFluBJACN35cXZ4AUuCWIbmXAjc81V2NFJTn9EcdhvS7GZOFKa934fFFcditElHq6NHeBZurcGx7p7xJ5yu8tbNbTunuli59vWgHUlC0iKfTXqQgHe5FuytSULSIN7a9SIEbb6TAjZ93NVJQO0QThGe0R8G+/06HJD2tvQz286guzRp1vFUFYWNnj2zU7xu6uuR1bfmfVIQU1J5fXFk9AaSgelacWTsBpKB2dlxZmQBSUJlRuTOQAjd+SEEC/KKKsLkLNvTI5i88qbJgcxie1J9f0AnPwWONroZkvQgbu3u97yepKORtszakoE5JRrHLCCAFJEQjCCAFjaBc3HsgBW6xRwrc+CEFCfCLU4TNT/jF5Lg8rHMWHp4Yl1/q9/26apJ/2OKdtlzqySoIJ3f3yMnao/BGHYKU5T2dkYI4GcK5tRJACmolx3VxCCAFcWhxblwCSEFcYsvPRwrc+CEFCfBzLeJpHX708KRKgsmCfv+N9ioE+xNsR+c366pHJggnd/XIKfr9oNY219s27HqkoGGoC30jpKDQ4W9Y45GChqEu5I2QArewIwVu/JCCBPglXYSthPQrFQNPEiZUFrQ34fnQsKMjdXWjk7Q34a06efkklYS36M+dTTqJGSlIOkMoL4oAUkBeNIIAUtAIysW9B1LgFnukwI0fUpAAv0YU8arOUdipvQg29OiX+vUr3V8hOJnZtlf7M907wQTBehNO1rkJb9BhR81wIAXNEIX81wEpyH+Mm6GFSEEzRCG/dUAK3GKLFLjxQwoS4JdWEb/W3oRfTVqPwpj3/b912dTg0d/S4g05+hPdQ+GNuvnan+oQpI3ao9DoAyloNPFi3g8pKGbcG91qpKDRxIt1P6TALd5IgRs/pCABfs1SxJgug/pLlYNf6HCjnRNj3vfgJGarp61s9A6dwHxmd5/8RW+vHNWAJVGRgmbJkHzXAynId3ybpXVIQbNEIp/1QArc4ooUuPFDChLg18xFPKHLoP5cexJ+pisd/XhiVF4NrHRk9bbdmDepILyzp9eThXosh4oUNHOG5KduSEF+YtnMLUEKmjk62a8bUuAWQ6TAjR9SkAC/LBXxWx1itGN8VO7Xr5/rJOZJmV+qvs1LeKturHZmb5+KQq+34lES+y8jBVnKkOzWFSnIbuyyVHOkIEvRyl5dkQK3mCEFbvyQggT4ZbUIE4Kfag+CCcIO7UWwXoXgsVY3Vnun9iJs6umTs7Qn4eAal0FFCrKaIdmqN1KQrXhltbZIQVYjl416IwVucUIK3PghBQnwy0sRtgvzfSYIY6PyIx1yFJ6PsF43VbMehDNVEk7XoUbVLoGKFOQlQ5q7HUhBc8cnL7VDCvISyeZsB1LgFhekwI0fUpAAvzwWYXssP6oTlXdYT4JKwsNT48s2VLOBRafpHgkmCDYnwYSh1IEU5DFDmq9NSEHzxSSPNUIK8hjV5mkTUuAWC6TAjR9SkAC/IhRheyL82B9qND4mu2eXDzU6vK1NNnX1yiadj/AulYRVOvTIP5CCImRI+m1ECtKPQRFqgBQUIcrptREpcGOPFLjxQwoS4FfEIp6Zmda5CGNyv85FeFBlIbiRmunABp2k7A81OnPNgLTrngnDY8tFoojcaHP9CCAF9WNLyQcIIAVkQz0JIAVudJECN35IQQL8KELkZ7rLsg0zul/3R9ilm6oFj17tNXiX7onwl939srmnXwZUEDggkDQBpCBpopQXRQApIC/qSQApcKOLFLjxQwoS4EcRywnYBOUf60Tl+8ZG5Ac6cTm8N8KZOln53L4BOVvnI9S6ohHMIRAmgBSQE40ggBQ0gnJx74EUuMUeKXDjhxQkwI8iyhN4pnV2YUWj4RHdSG1c9gU2UDuls1ve29cv7+sZkCPbbacEDgjURgApqI0bV8UjgBTE48XZ8QggBfF4hc9GCtz4IQUJ8KOI8gSCE41tq7SHJyfkHu1F+M74sDw7M7N08fG6gtFm7UHY3Nsvb2ovvZoRvCEQRQApIC8aQQApaATl4t4DKXCLPVLgxg8pSIAfRVQvBeEzbf7BPSPDcs/4iDylk5f94+j2Dp1/0KeCMCAnd3UnsrMycco3AaQg3/FtltYhBc0SiXzWAylwiytS4MYPKUiAH0XULgXBKx+fnvLkwCThtzNTS28dqjspv1t7D96rgvB23TSNQUZkHD0F5EBaBJCCtMgX475IgVuckQI3fkhBAvwoIhkpCJbyB+01+A8dYnTP6LA8GljNaFVri65i1OcJwpk9vdLTcmA/BOJQbAL0FBQ7/o1qPVLQKNLFvA9S4BZ3pMCNH1KQAD+KSF4KgiU+r/MO7tH5B/eMjsgvdJdlm5dghw0qMjGwIUa2ktHqwIZpxKR4BJCC4sU8jRYjBWlQL849kQK3WCMFbvyQggT4UUR9pSBY+p65Wblbew9sovJDupLR7OKbNqToNB1atFlXMbKJyofpDsscxSKAFBQr3mm1FilIi3wx7osUuMUZKXDjhxQkwI8iGicFwTvt1aVNty/OQXhA90Xw1zGyrdFOtKVOVQ5MEI7RScsc+SeAFOQ/xs3QQqSgGaKQ3zogBW6xRQrc+CEFCfCjiHSkIHjX4bn5BUEYG5Yd42MytTTISOSNHbaSkQqCLne6oaOLcOWUAFKQ08A2WbOQgiYLSM6qgxS4BRQpcOOHFCTAjyLSl4JgDUbn5+Q/dSdlm4NgOyqPBwThtbpB2ru7dbM03TDtlK4eYZpyfrIXKchPLJu5JUhBM0cn+3VDCtxiiBS48UMKEuBHEc0lBcHaTKoQ/EB3U7YeBBOF4Xl/mrLIQTox+RztQXif9iD8uQpCe4sNPOLIKgGkIKuRy1a9kYJsxStrtUUK3CKGFIT4bbrgI3L4Ietk203Xeu888NAuueKa61dQfuz+rUuvvfDquFsUuBoCZQgEdzROE9S0CsGPdHLyPSND8t2JUdmvcxL8w5Y6PU9XMfpQ32p5q26WxpE9AkhB9mKWxRojBVmMWnbqjBS4xQopCPAzIbAjSgqCEhBGjhS4JSFXlyfQLFIQruWPJsZ1JaMh+Y7ORdgXEASbmHxh/2q5UHsQjmhjq7Ss5DdSkJVIZbueSEG249fstUcK3CKEFCzy23LFdXL+5jPkuRf3yM5HHl/RU4AUuCUaV9dOoFmlwG+R9RfsmBiTrw0Pynd1iJENObLDBhO9XYcVfUgF4Vydg2D7InA0LwGkoHljk6eaIQV5imbztQUpcIsJUqD8TAg2nrhePn7lRfLZG2+PlIIg5rAg0FPgloRcnc2egqhaj+gQo2/rPghfGxmUnbpRmn/06c7J7+3t8wThdBUF9KD5sh4paL6Y5LFGSEEeo9o8bUIK3GJReCm4+toveARvuO4q73tYCsJ4TSDs8Occ2M+zupwjBwTqRUCH6+vRInOBSb71uleS5T4zNSX/tnevfGXvftk9Pb1U9Os7O+SStWvkH9atk6M7O5O8JWXVSGBmdl462y3RspdnNTaZy1IikNW/Zynh4rYxCbQtJBhHjQQKLwU2j+CVvYMr8B28brXsuOPzK173Jx4Hewte3nfgE9Ea48BlEChJoLe7XWxhn9Fxf3uxbMEyZX5QN0fbNjQkd+tOymO65Kl/nKKTkrf0r5Hz+/ulX3sTONIhMK9Dvvq6O8T+ezqS0TxLhxx3jUugt6tddOEy8iwuOM6visBha1nooipQJU4qvBSEuVTqKYiSAoYPuaQg11Yi0OxzCirVP/i+CcE9usTp10b2y08nJ5Z2QOjST6jf3aPDiwZWy6buXvY/iAM1oXMZPpQQSIopS4DhQyRIPQkwfMiNLlIQ4heWAhtedPU/XShHHXmYd6b1LJy84bil4Ub2GlLgloRcXZ5AnqQg2NKXZ2fldl296Os6/+DpmQPDiw5tbZMLdOWii7QH4TjdTZmjMQSQgsZwLvpdkIKiZ0B9248UuPFFCipIgUnC1m3bl846Yf0xy+YTIAVuCcjVlQnkVQqCLbdJybZ60X+MD8tQYI7Oho4u7T1YJRf0rpI1NuaAo24EkIK6oaXgAAGkgHSoJwGkwI0uUuDGz7uanoIEIFJESQJFkAK/8VM6oGi7zjv4mm6Q9iNd5nR28Q3b7eAsG17Ut0r+Ur+ze3Ly/2CQguSZUuJKAkgBWVFPAkiBG12kwI0fUpAAP4ooT6BIUhAk8crcrHxjcXnTx6enlt5aqz0G5+vwogt19+S3dHaRPgkRQAoSAkkxZQkgBSRIPQkgBW50kQI3fkhBAvwoAimolAO7pid1eNGQfHtsSF4N7J78RuJI0aMAACAASURBVJ1zcGHfGt1BeUAO0bkIHLUTQApqZ8eV1RNACqpnxZnxCSAF8ZkFr0AK3PghBQnwowikoNocsEVZ79Ndk21ztPt0eNH04t4NNtvgnV29cqHOP9jc2y+2mhFHPAJIQTxenF0bAaSgNm5cVR0BpKA6TqXOQgrc+CEFCfCjCKSglhwY1B6DO2z1Iv361dTkUhEDuqnDub0D3gTlUzt7aim6kNcgBYUMe8MbjRQ0HHmhbogUuIUbKXDjhxQkwI8ikALXHHhqZkpu096Db+ocBFvq1D9e36bDi1QOtugE5SPabLoyRykCSAG50QgCSEEjKBf3HkiBW+yRAjd+SEEC/CgCKUgqB2yvZFu16Ou6epGtYuRvj2aDid7W1SMf6l+tvQh90sfuySuQIwVJZSHllCOAFJAf9SSAFLjRRQrc+CEFCfCjCKSgHjkwqrsn32XLm+oE5Yemxpdu0atC8H6dd3DpwBpWLwqARwrqkYWUGSaAFJAT9SSAFLjRRQrc+CEFCfCjCKSg3jmwe3ZatunmaNt0eNGLszZdeeE4vqNT/kZ3TrbVi4ree4AU1DsLKd8IIAXkQT0JIAVudJECN35IQQL8KAIpaGQOPKK7J9+tcnDP2KiYLNhhQnC+9h78w+q18qb2zkZWp2nuhRQ0TShyXRGkINfhTb1xSIFbCJACN35IQQL8KAIpSCsHfj45LrcM7/cEwXZTtuPNHV1y6ao18gGVhJ4CzT1ACtLKwmLdFykoVrwb3VqkwI04UuDGDylIgB9FIAVp58B+Xd70Np2c/JWR/fLMzELvQb8ubfoBXbXochWEIvQeIAVpZ2Ex7o8UFCPOabUSKXAjjxS48UMKEuBHEUhBs+SA9RX8eGJcblY5+L5OUvZnH7ylU3sPdGKyDTHKa+8BUtAsWZjveiAF+Y5v2q1DCtwigBS48UMKEuBHEUhBM+bAK3Ozcqv2Htyqw4ueX5ycbBujWe/B3w+slTd2dDRjtWuuE1JQMzoujEEAKYgBi1NjE0AKYiNbdgFS4MYPKUiAH0UgBc2cA7b3wQ/GR+VmlYMf6h4I9rsdJ3V2y98OrJbz+wakW2wnhGwfSEG245eV2iMFWYlUNuuJFLjFDSlw44cUJMCPIpCCrOTAS9pj8GWVA5t/sEd7Euyw3oMPau/B32W89wApyEoWZrueSEG249fstUcK3CKEFLjxQwoS4EcRSEHWcsB0YPv4iNd78BOdg7CwbpHIydp7YCsXnadzD7LWe4AUZC0Ls1lfpCCbcctKrZECt0ghBW78kIIE+FEEUpDlHLC9Dr48tF83RhuSfbqKkR2rWhd6D2zuwbHt2Zh7gBRkOQuzU3ekIDuxymJNkQK3qCEFbvyQggT4UQRSkIccmJ6fl7tt7oEKwkNT40tN2mi9B7py0Xl9/dLZxHMPkII8ZGHztwEpaP4YZbmGSIFb9JACN35IQQL8KAIpyFsO/F73Ovj34X3yDZ17MKyyYMfq1lb5YO/CvgfN2HuAFOQtC5uzPUhBc8YlL7VCCtwiiRS48UMKEuBHEUhBXnNgQmcbfGt02Ns1+VdTk0vNPGWx9+Cvmqj3ACnIaxY2V7uQguaKR95qgxS4RRQpcOOHFCTAjyKQgiLkwG9npuRfB/fJnbop2tj8wtwD6z24UHsP/l57D45Oee4BUlCELEy/jUhB+jHIcw2QArfoIgVu/JCCBPhRBFJQpBwYVSH4hvYe2NwDEwX/eFtnj7dy0bk9fdKhy5w2+kAKGk28mPdDCooZ90a1GilwI40UuPFDChLgRxFIQVFzYOfUhLes6d2jIzK5uLDpGus90JWLLtfJyY3sPUAKipqFjW03UtBY3kW7G1LgFnGkwI0fUpAAP4pACoqeA0O6lOnto4M692BQntJJyv5xWleP7prcmN4DpKDoWdiY9iMFjeFc1LsgBW6RRwrc+CEFCfCjCKSAHDhAwDZDs4nJ9+rmaDOLL6/V3oMP9a3WlYtWy1Ft9dn3ACkgCxtBACloBOXi3gMpcIt94lJw/JmXx67RCeuPkW03XRv7uma54IVXD6xJ3ix1oh75IWAPay06xnx47MAnyPlpHS0pRWCv9h58dWRQvjKyX56d8fVA5HTtPbh0YLW8r6df2hOce4AUkIuNIIAUNIJyce+BFLjFvi5S8Nj9W6uu1W133id33vsAUlA1MU4sGgGkoGgRX95e2+Xg/okxb+7Bfbo52uzi2+tatPegf5X8nU5OTqL3ACkodp41qvVIQaNIF/M+SIFb3HMvBZsu+Igcfsi6SOkwIfnU526Rmz7zMTnj1A0lSW654jr59eNPL70flh56CtySkKvLE0AKyBCfwJ65Wfmyrlr0VZ1/8PLsgh7YOkVv9+YerJb3OvQeIAXkWSMIIAWNoFzceyAFbrHPtRSYENgRJQUmBF+8+S55Ze9gWSm4+tovyAsvvbokFeHfrXykwC0JuRopIAfiETAd+L7ud2ATk3dMji2uWyRykM492GK9B/1r5bXt7bEKRQpi4eLkGgkgBTWC47KqCCAFVWEqeVLiUuBWneSutk/3z998hjz34h7Z+cjjy3oKHnhol/zzv3xJdtzxebE5EOV6CqycjSeul49feZFXOV8m7Fr/QAqSixslrSRATwFZUY7Aczrf4Msj++TWkSEZ1HkI/vEO7T34x1Vr5d2670E1B1JQDSXOcSWAFLgS5PpyBJACt/xIRQr8ychx5h7EaWbwQf6zN96+TApMCK645nrx711JCvzzz9m0UW647irxZePi889CCuIEhXNrJoAU1IyuUBfOzM/LPbpi0c3ae/CzyQOLHxzf0SkfXX2QbO7t94YalTqQgkKlS2qNRQpSQ1+IGyMFbmFumBT44/f96t5766flqCMPc6t9xNU2vMcOe4C3IygFu59/WTZf8gkJ3ruSFFgZds7B61Z7Q43sCMvM3uHJxNtBgRDwCXR3tunDXIuMTx1YgaY2Oo3fJbe2enKVK4Gnp6flpv17ZdvQoAzpDsp2vLatXf5h7Vqde7BWDmprXXaLeRWKnq42adXVjMYm/anMrrXgegisJNDd0SqtrS55ZlPvOSAQTWDdQBdoHAjUXQrsIf17O3YuVbHSpF6HtniX2jwC/+E9WJY91H/4svO8icVRxyc/eqkEP/33zwn3DJhkbN22fZkYjPMfUdewcX0ZAu1t+jCv/5uZcf2Poev1hClrBCb0Yf/rg0Pypb175b90/wP/eP/AgHx43TrZ1LcwtGhmbl66O9oWfp49MAQpa+2lvs1PoH1RSGvPMz7caP4op1dD+3CDo3YCdZOC4H4F/gN3NZ/K196U6CvDw4fCZ1WqU/h9fzhRsLeBOQVJR43yggQYPkQ+JEHgCe09+PfhfXLH6JCMqCzYcUx7h7fnwcW6MdoRfZ1eT8EQ+2EkgZsyShBg+BCpUU8CDB9yo1sXKSg1Z6DSA7hbU5KRgnBPgPUU2OFvrmY9Hw/vetKbpOwfSEE9IkeZPgGkgFxIksC4Die6U1cuulmXNn10emHoY6d2RVnvwT+uXScbpD47JifZBsrKLgGkILuxy0LNkQK3KNVNCmy4TvDB2aqZRSmwegeHJEW1CylwS0KuLk8AKSBD6kXgtzNT8q+D++TbKgmji3MPjuvokL/tXyNbtPdgQMd+c0AgSQJIQZI0KStMAClwy4m6SIEvAH7V/HkEaUiBG57qrkYKquPEWbURQApq48ZV1RMwIbhnalT+ff8+eXRyofegS3sP/qqvX4cXrZGNnd3VF8aZEChDACkgPepJAClwo1s3KfCr1eiJxm44arsaKaiNG1dVRwApqI4TZ7kR8Jck/dH+Yd0Ubb98e3RExhe3RVuvy5pe2r9aLtSvfp13wAGBWgkgBbWS47pqCCAF1VAqfU7dpcC/dXBJ0qghOG7NSPdqpCBd/nm/O1KQ9wg3R/vC+xTYZOSvjwzKLfr1+PSUV8ke7T04T/c7uGzVGjmR3oPmCFzGaoEUZCxgGasuUuAWsIZJQbCa9d68zA1J/KuRgvjMuKJ6AkhB9aw4s3YC5TYv2zk14fUe/If2Hkwu9h7Ypmg2tOiCvgHpa1m+70HtteDKvBNACvIe4XTbhxS48U9cCuyBP85OxdaDcOe9Dyyt7uPWnHSuRgrS4V6UuyIFRYl0uu2sZkfjYd3P4Gtj2nuggvCkLnFqhwnB+7X34B9Xr5U3tXem2wju3vQEkIKmD1GmK4gUuIUPKXDj512NFCQAkSJKEkAKSI5GEKhGCoL1+PnkuCcH94yNytRi78FbOru83oPzVRJ66D1oRNgydw+kIHMhy1SFkQK3cCEFbvyQggT4UUR5AkgBGdIIAnGlwK/T0Nyc3DY6KF8ZHpSnZhZ6DwZ0MvIH+lbJ3w+slTfqEqccEPAJIAXkQj0JIAVudOsiBXGrdML6Yxg+FBca5xeGAFJQmFCn2tBapSBY6Qet90A3Rbt3YlSmF3dNPkknJNvEZJug3K0TlTmKTQApKHb86916pMCNcOJS4FadbF7N8KFsxi0rtUYKshKpbNczCSnwCezX3oOv6qpF1nvwh9mF3oNVuhHaX/eulstVEI5tp/cg29lSe+2RgtrZcWVlAkhBZUblzkAK3Ph5VyMFCUCkiJIEkAKSoxEEkpQCv77z+sOPJ7T3YGS/fE93TZ5ZfOMU7T2wuQfWe9DBvgeNCG/T3AMpaJpQ5LIiSIFbWJECN35IQQL8KKI8AaSADGkEgXpIQbDer8zNym0jQ3KrCsKzMwt6sKa1VS7UuQeXqyAcTe9BI8Kc+j2QgtRDkOsKIAVu4UUK3PghBQnwowikgBxIn0C9pSDYe7BjYkxu1pWL/nN8VGYX3zitq0d7D1bLuT390k7vQfoJUacaIAV1AkuxHgGkwC0RkAI3fkhBAvwoAikgB9In0CgpCLZ0j/YefEXnHnxV5x68MLvQe7BOlzL9UP8q+Tude3BUG3MP0s+MZGuAFCTLk9KWE0AK3DICKXDjhxQkwI8ikAJyIH0CaUiB3+o5/eEH2mtg+x78QHsR7Hdbp+gd3dZ7sEbeY70H6SOiBgkQQAoSgEgRJQkgBW7JgRS48UMKEuBHEUgBOZA+gTSlINj6l7THwFYt+qruffDy7MLgokNa27zeA5t7cEQbepB+ttReA6SgdnZcWZkAUlCZUbkzkAI3fkhBAvwoAikgB9In0CxS4JMwHfj+Yu/BjwK9B5u6er25B2frykVt6WOjBjEJIAUxgXF6LAJIQSxcK05GCtz4IQUJ8KMIpIAcSJ9As0lBkIjNN7hZN0W7fXRIbB6CHYdq78HF2ntwmfYeHE7vQfoJVGUNkIIqQXFaTQSQgpqwLV2EFLjxQwoS4EcRSAE5kD6BZpYCn47pwHd1vwPb98D2P7B9EFr168zuXk8O/qKnj96D9FOpbA2QgiYPUMarhxS4BRApcOOHFCTAjyKQAnIgfQJZkIIgped0r4Mvj+yTbbr3wau6g7Idr9Eeg7/RoUWX9q/25iFwNB8BpKD5YpKnGiEFbtFECtz4IQUJ8KMIpIAcSJ9A1qTAJzYzPy/fGdfeA1256MHJCe9l04GztNfAVi56l/Yi2EpGHM1BAClojjjktRZIgVtkkQI3fkhBAvwoAikgB9InkFUpCJLbPTstW4cG5Wu6ctG+xd6D17a3yyX9a+RvdP7BwfQepJ5oSEHqIch1BZACt/AiBW78kIIE+FEEUkAOpE8gD1LgU5zW3oO7beUinZz886lx72VbyNRWLLKhRe+k9yC1hEMKUkNfiBsjBW5hRgrc+CEFCfCjCKSAHEifQJ6kIEjzmZlp+TeVg2+MDcngYu+B7ZRsy5pepIKwrtWmKnM0igBS0CjSxbwPUuAWd6TAjR9SkAA/ikAKyIH0CeRVCnyyU7pW0V2jC3MPdk4tzD2w3oPNuluyzT2w3ZM56k8AKag/4yLfASlwiz5S4MYPKUiAH0UgBeRA+gTyLgVBwr/3eg/2yTd134NhHWpkxzHtHfK3KgcX9a2SNfQe1C0hkYK6oaVgJYAUuKUBUuDGDylIgB9FIAXkQPoEiiQFPu0J7T24c3TY6z14ZGrSe7lT1yp6X+/CykVv66L3IOnMRAqSJkp5QQJIgVs+IAVu/JCCBPhRBFJADqRPoIhSEKT+25kpXblov3xLew9GFnsPjuvQ3gNduWhL32oZaGVh0ySyFClIgiJllCKAFLjlBlLgxg8pSIAfRSAF5ED6BIouBX4Exufn5Fu2a7IKwqPTC70HXdp7cG5fv7dr8sbO7vSDleEaIAUZDl4Gqo4UuAUJKXDjhxQkwI8ikAJyIH0CSMHKGPxKhxTZ0KJvqySMqSzYsb6j01vW9EL96m+h9yBu5iIFcYlxfhwCSEEcWivPzb0UbLrgI3L4Ietk203Xrmj9bXfeJ5/63C1y02c+JmecuqEsSSvnlb2D3jmf/OilcvH5Zy2d/8KrC+tgc0CgHgTsYa1FHz6Gx6brUTxlQsAjgBSUToRRFYK7VAy+NLhPbJiRHX7vwSdWHyxH6gZpHNURQAqq48RZtRFACmrj5l+VaymwB3k7oqTAhOCLN9/lPehXkoLjz7xcLt/yHvn4lRdF0kYK3JKQq8sTQArIkEYQQAqqo/zw5ITcMqK9B7q86aROVLbjNW3t8j5d2vS9OsSIyckV/p51t0urzs8Y4kOO6hKOs2IRQApi4Vpxcm6lYMsV18n5m8+Q517cIzsfeXxZT8EDD+2Sf/6XL8mOOz4v9sBfTgo+e+Pt8sJLr8gN111VkjRS4JaEXI0UkAPpE0AK4sXAJiPfPjIoX9bhRU/pEqf+YYJwYd+AbNHhRUfrMqccywnQU0BG1JMAUuBGN5dSYEKw8cT13if79lAflAITgiuuuV4eu3+rR66SFFhZL+3ZuzR0yK6599ZPy1FHHrZEHilwS0KuRgrIgfQJIAW1x+ChqXFduWhQtusQI7/3wEo7sbNLLuhfJe/vHZCDW9tqv0GOrkQKchTMJmwKUuAWlNxJwdXXfsEj4n+yH5SC3c+/LJsv+cSyh/pKUmBDkM49+/SloUNW3tZt25ekwu41OT3rFgWuhkAZAm2LSyHOzi0MVeCAQNIEZmbnpaujVdfYaZGZuYUJtRzxCYwqu7uGhuS2/YNy38iI+P9lsBkHf9nfL5esXSN/tWqVdBd4gjJ/z+LnFVdUT6CrA/muntbKM3MnBcEJwcHmHrxutXz4svO8icVRR3jysH+OlWfX+ROLo8TilcGFZes4IFAPAj1dbd5E47GJmXoUT5kQ8EbG92qetWqejZJniWTE3tk53TF5UL4xPCgPTx74b0R/S6u3vOmHBlbLGT29qmHFOno6Nc/0gw7yrFhxb1RrD17d1ahb5fI+uZOCcJTCw4fC71fqKQgORbJro6SA4UO5/LfRNI1ionHThCLXFWH4UP3Cu3t2Wr6hOyd/a2RoxfyDD5gg9K0R2yitCAfDh4oQ5fTayPAhN/ZIQWiicXh4kL9sqT8HwYYnvfDSq8smLiMFbknI1eUJIAVkSCMIIAWNoCxiex98U+XgrrFh2TN3YOjp8br/wV/r/IML+lblev4BUtCYPCvqXZACt8gjBRWkwPD6omA/2zAkW7UoeCAFbknI1UgBOZA+AaSgsTGwmRs/nhiTO0aHvAnKtpqRHTYi+ozuHvnrvtXeEqfdORtghBQ0Ns+KdjekwC3iuZcCNzzVXY0UVMeJs2ojQE9Bbdy4Kh4BpCAeryTPthWLvqticIcOMfrh+Kj4s4d6df7B5t4++aD2Hvx5d6+0JnnTlMpCClICX5DbIgVugUYK3Ph5VyMFCUCkiJIEkAKSoxEEkIJGUK58j0FbwUiHFt0xMiz/pUud+muOHapLmn5A5eCDOsTIhhpl9UAKshq5bNQbKXCLE1Lgxg8pSIAfRZQngBSQIY0ggBQ0gnK8e7wwO6MrGKkg6CpGT0wf2CBtvc0/0OFFF/YPyCEZ2/8AKYiXA5wdjwBSEI9X+GykwI0fUpAAP4pACsiB9AkgBenHoFwNHpue0t6DQblTexFeml2YoGzDiU7v0vkHurzp+3r6pE+HGzX7gRQ0e4SyXT+kwC1+SIEbP6QgAX4UgRSQA+kTQArSj0E1NbDhRD+dHFdBGJJ7xodlaHFTQ5uQ/J7efm940Sadf9CsWzghBdVEmXNqJYAU1Epu4TqkwI0fUpAAP4pACsiB9AkgBenHIG4NpnXFov/Uicnf1N6D+8ZGZWpxBsLBOqTo/b0D3hKnb+5srs2ckIK4Ueb8OASQgji0Vp6LFLjxQwoS4EcRSAE5kD4BpCD9GLjUYFh7DO7WngMbYvSzyQmxJU/tsE3RPqjzDz7YNyBHtLW73CKRa5GCRDBSSAkCSIFbaiAFbvyQggT4UQRSQA6kTwApSD8GSdXgJZ2gbMubfkv3QPiNzkXwj1M7e+Tc/n45t2dADmtLZ4ARUpBUlCknigBS4JYXSIEbP6QgAX4UgRSQA+kTQArSj0E9avCkrlr0DV29yCYoPzfj74Ag8h6dmHyKzj14l37ZakaNOpCCRpEu5n2QAre4IwVu/JCCBPhRBFJADqRPAClIPwb1rsEvpybkOyoHd4+Oyu7ZA0ucHt3e4UnC2TpR+TRdzaieB1JQT7qUjRS45QBS4MYPKUiAH0UgBeRA+gSQgvRj0MgaPKHDirbrJOXtKgmPTtmeygvHmtZWOUsF4d0qCNaLYLsqJ3kgBUnSpKwwAaTALSeQAjd+SEEC/CgCKSAH0ieAFKQfg7RqsGduVnsQRuS7Kgg/mRgXf5BRR0uLvEPnIZzT1y+be/rl0ATmISAFaUW5GPdFCtzijBS48UMKEuBHEUgBOZA+AaQg/Rg0Qw1G5+e8ZU63j47IDydGZViXPfWP43XuwTkqB+doL0KtS50iBc0Q5fzWASlwiy1S4MYPKUiAH0UgBeRA+gSQgvRj0Gw1mFEheEA3StuuvQjfGx+Rlxd3UrZ6Hq69BmerINgwozN0HoL1KlRzIAXVUOKcWgkgBbWSW7gOKXDjhxQkwI8ikAJyIH0CSEH6MWj2GjyiE5X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AkYf0NKbggpSKFDgINFLgACJFlCSAFJAczSCAFDSDMvdACsiBRhJACuzoIgV2/IKrkQIHECkCKSAHUiWAFKSKvzA3RwoKE+pUGooU2GFHCuz4IQUO+FFEeQL0FJAhzSCAFDSDMvdACsiBRhJACuzoIgV2/JACB/woAikgB9IngBSkH4Mi1AApKEKU02sjUmDHHimw44cUOOBHEUgBOZA+AaQg/RgUoQZIQRGinF4bkQI79kiBHT+kwAE/ikAKyIH0CSAF6cegCDVACooQ5fTaiBTYsUcK7PghBQ74UQRSQA6kTwApSD8GRagBUlCEKKfXRqTAjj1SYMfPdD+43XRIGd0traZH1l7ulnW+u03r3Hf5d4+83m3mfg7O0X+3GDm3be4c+Qpe0/f1vOAcPX++jPlrg9fkvVbL+nK5fwSYaOxfzHysMVLgY9T8qzNS4F/MfKoxUmAXLaTAjp9peeD3liXUf/mAiMLK9nZzeKt8tbWZlW3t5oj2joWfD9d/y+u9IhMc/hJACvyNnU81Rwp8ipa/dUUK/I2dDzVHCuyihBTY8QuufvSlUTO+f9aMydf4rDnw8/798rN+6XvyfVa+zNy/R2f13Lmf9bW59+Vn/fd+Y8b05+Dc+evnr62nun0iBaE0qCgEP4s8HDEvDSoV+vOA9FZwZI8AUpC9mOSxRkhBHqOavTYhBdmLSZ5qhBTYRRMpsOMXXJ3W5mW7ZmfM/8zo17R5Ifw+PWVeDF6fNi/K1zPT01W3sEeGKqk0zPU+tC38rMKgvRDHdHSYI+U7R3MJIAXN5V3UuyEFRY18c9uNFDSXd9HuhhTYRRwpsOOXqhRUW/U90uugkqAC8ULwXSRCZEGlYU4eZoKfJ6RnotKhQ5GOEzk4Vnoa/qqz2xwrPx8tP5/Q0VXpUt6vkwBSUCc4LquJAFJQEy5OrpMAUlAnOC6rigBSUBWmkichBXb8vJCCaps4KPKgghD2MujPL0jPg/77efl6bHrC7JNhTKWOV0gPw6tEEFaLIBzT0SnyIN/lNe1l4KifAFJQPzuurJ4AUlA9K86snwBSUD87rqxMACmozKjcGUiBHb9cSUE1KHbK0KQ/TU2Zx6YmzFNTk+axyUnzxMykebrMMCVdVek1nZ0iCNq70BWIw7EiDMeLOHBUJoAUVGbEGfYEkAJ7hpRQmQBSUJkRZ9RPACmon51eiRTY8SucFJTCNSUTop+YmTJPiCg8IdLw+OS4eUJ6Gf4s/x6S95IOndZ8lPQk6FCkY9u7RBQ6g6+/kiFJL6N3YQEZUuDgl5QiKhJACioi4gQHBJACBxApoiQBpMAuOZACO35IQRX8dC7Dn6ZVFiaD3oVH58Vhh0hEqUMnPb8qmLvQaV7T1W1eL/MXTu3uNl3yetEOpKBoEU+nvUhBOtyLdlekoGgRb257kQI73kiBHT+kwJKfCsJT0qOg3/8kQ5KelF4G/XlElmZNOl4vgrC2s8esle9rurrMK9p067h8H0hBvuObldYhBVmJRL7rgRTkO75ptw4psIsAUmDHDylwwC+pCJ27oEOPdP7C4yILOofhcfn5OZnwHD2Wyc7P2ouwtrs3+H6yiELeNmtDChqUZBS7iABSQEI0gwBS0AzKxb0HUmAXe6TAjh9S4IBfLUXo/ITfTYyZ+2XOwv3jY+YB+b5XVk0KD927+TiZl3CKCMIp3T3mFOlReLUMQfJ5T2ekoJYM4dx6CSAF9ZLjuloIIAW10OLcWgkgBbUSW3w+UmDHDylwwM+2iCdl+NH9EyIJKgvy/Q/SqxDtT9AdnU+UVY9UEE7p6jGnyvdDZHM2Xw6kwJdI+V1PpMDv+PlSe6TAl0j5WU+kwC5uSIEdP6TAAT/XRehKSA+JGASSMC6yIL0Jz8aGHR0lqxudLL0Jr5fJyyeLJLxOfu7M6CRmpMB1hlBeEgGkgLxoBgGkoBmUi3sPpMAu9kiBHT+kwAG/ZhSxS+YobJNeBB169IB8PST7K0QnM+v2an8teyeoIGhvwikyN+FVMuwoCwdSkIUo5L8OSEH+Y5yFFiIFWYhCfuuAFNjFFimw44cUOOCXVhEPS2/CQxPaozAafP9vWTY1evS3tARDjv5K9lB4tWy+9loZgrRWehSafSAFzSZezPshBcWMe7NbjRQ0m3ix7ocU2MUbKbDjhxQ44JeVIkZlGdQHRA5+J8ONto2PBt+jk5i1nrqy0VtkAvMZ3X3mb3t7zaomLImKFGQlQ/JdD6Qg3/HNSuuQgqxEIp/1QArs4ooU2PFDChzwy3IRj8kyqL+VnoTfyEpHvxwfMbsiKx1pvXU35nUiCG/t6Q1koRHLoSIFWc6Q/NQNKchPLLPcEqQgy9Hxv25IgV0MkQI7fkiBA34+FfFHGWK0dWzE3C1fv5VJzBNm/0L1dV7C62VjtTN6+0QUeoMVj1zsv4wU+JQh/tYVKfA3dj7VHCnwKVr+1RUpsIsZUmDHDylwwM/XIlQI7pUeBBWErdKLoL0K0WO5bKz2VulFWNfTZ86UnoRD61wGFSnwNUP8qjdS4Fe8fK0tUuBr5PyoN1JgFyekwI4fUuCAX16K0F2Y71JBGB0xv5AhR/H5CKtlUzXtQThDJOFNMtSo2iVQkYK8ZEi224EUZDs+eakdUpCXSGazHUiBXVyQAjt+SIEDfnksQvdY/r1MVN6qPQkiCfdPji3aUE0HFr1R9khQQdA5CSoMpQ6kII8Zkr02IQXZi0kea4QU5DGq2WkTUmAXC6TAjh9S4IBfEYrQPRF+GQ41Ghs1O2YWDzVa2dZm1nX1mnUyH+FtIglLZOhReCAFRciQ9NuIFKQfgyLUACkoQpTTayNSYMceKbDjhxQ44FfEIp6anpK5CKPmbpmL8GuRhehGaqoDa2SScjjU6IxlA6Zd9kwYGl0sEkXkRpsbRwApaBxbSj5AACkgGxpJACmwo+u9FFx+5VfMnVu3mUfuviaRxLrzPmpWHrbCbN50ZUlS99y33Vz2iS8svH/pxneaj3/4wuDf8ffCk6L3e27XmF0UuLrwBH4juyzrMKO7ZX+E7bKpWvTolV6Dt8meCH/X3W/W9/SbAREEDgi4JoAUuCZKeUkEkALyopEEkAI7ul5LgQrB/dsfNy/tHkyUAhUCPcpJwY5nXzTr3/dJs+nqK8zpp60x8X+HUlBKOrR8pMAuCbl6MQGdoPxLmah81+iw+ZlMXI7vjXCGTFY+p2/AvF3mI9S7ohHMIRAngBSQE80ggBQ0g3Jx74EU2MXeWyn4/FdvNM+98JI5/+x1waf88Yf2jZddZTasP9088/xOs+3BR0v2FCQ99KtMfOiSc81FG85c6ClACuwSjavrJ/BU68zcikZDw7KR2pjZE9lA7dTObvOuvn5zds+AOapdd0rggEB9BJCC+rhxVW0EkILaeHF2bQSQgtp4xc/2UgpUCMIH/aSHehWCtSetDoYARc8thUrPf/jRJ80d139Oegr+x3zqs183W2/+cnB60vChuCDsHFw83MMuJFwNgcUEervaTIsMGRoZnw62SvvdxLj50fA+c9vIkHl6enrh5BNkHsLZ/QOBJLy2owuMEKiagOZVXyTPqr6QEyFQI4HeTvl71jr394wDAq4JHLaU//bZMPVOCm645S7ztWtvPeihPXxQ1yFFenzxqo8E36uRAj3ntp/eGwxD0iM6pyAOVwVCj+gchalpXYCSAwKNIdAq/wHVY3b2wO7J4Z0ekF2Vb947aG4eHDSPT04uVODYzk7z7iVLzIalS80benuc7KzcmNZRahYIzEhudbS3BnmiP3NAoFEE9O8ZedYoupSrf8c46ifgnRSEE4uTmqyf9F/8b/++8HAfPefQFUsXRCL6uvYERHsG9L3jz7i0pBgk9Uwwp6D+BOTKygSqXZL00alJc/vYsLl9eMj8cfqAIBwuOym/o7ffvKt3wLxZNk1jkFFl5kU8g+FDRYx689vM8KHmMy/SHRk+ZBdt76Qg3txKE4Er9RQkva+9AUeuPGShtyEuEfE5DEiBXRJydXkC1UpBtJS/yJKnP5KJyrfLEKPfR1YzWiKf0v2d7IOggnBGT6/paeFTFfJvjgBSQCY0gwBS0AzKxb0HUmAX+8JJQSgR4WpD8X+Hqw99+mMXBxONtWfi8n+9wKw66oiAtE5CPmXNcYuEASmwS0Kudi8F0RKflXkHt48NiSAMm9/JLsvh4JBu6cRXMVgvgqArGS2NbJhGTIpHACkoXszTaDFSkAb14twTKbCLdeGlQPHpPIXPfOm6BZKhEOgL2pNwzeYtC++dsPqYg1YyQgrskpCrGysF0dJ3zs4EE5Rvl16E+2Qlo5n5N3VI0RtlaNF6WcVovQw1OkJ2WOYoFgGkoFjxTqu1SEFa5ItxX6TALs7eS4Fd891cjRS44UgpyQTqGT5UDcvdsrTplvk5CPfIvgjhWiA6CfAkXepU5EAF4Zj2jmqK4xzPCSAFngfQk+ojBZ4EytNqIgV2gUMK7PgFVyMFDiBSREkCjZKC6A2HZMWZQBBGh8zWsVEzuTDIyJhXd3QEOymvlw3T1rDUaW4zFSnIbWgz1TCkIFPhyF1lkAK7kCIFdvyQAgf8KKI8gWZIQbQGI/tnzX/KTso6B0F3VB6LCMLLZYO0d3TLZmmyF8KpXT2Gacr5yV6kID+xzHJLkIIsR8f/uiEFdjFECuz4IQUO+FFEtqQgWpsJEYKfyW7K2oOgojC0/8Aa9ofIxOSzpAfhbOlB+BsRhHbZYI3DXwJIgb+x86nmSIFP0fKvrkiBXcyQAjt+SIEDfhSRXSmI1mxKhOAXMjn5dtlN+SfjI2avzEkID13q9FxZxei9fUvN67u6CamHBJACD4PmYZWRAg+D5lGVkQK7YCEFdvyQAgf8KMIPKYjX8hfjY7KS0T7zY5mLsCciCDox+YL+peYC6UE4so2t0nzJb6TAl0j5XU+kwO/4Zb32SIFdhJACO35IgQN+FOGnFIS11v6CreOj5rtDg+YnMsRIhxzpoYOJ3izDit4rgnCOzEHQfRE4sksAKchubPJUM6QgT9HMXluQAruYIAV2/JACB/wowm8piNZ+WIYY/VD2Qfju8KDZJhulhUef7Jz8rt6+QBDeJKKAHmQv65GC7MUkjzVCCvIY1ey0CSmwiwVSYMcPKXDAjyLyIwXRluyYmTI3Su/BTSIJz86EuyAYoysYnS/zDy4cWGpWtbEHQlbyHynISiTyXQ+kIN/xTbt1SIFdBJACO35IgQN+FJFPKQhbpYOJ7pUJytp7cLusZDQqS56Gx1rZJE17D94t8w/6Wb0o1V8FpCBV/IW5OVJQmFCn0lCkwA47UmDHDylwwI8i8i0F0dapEKgYfHd4r4jC+MIOCF0yoOgdPTK8SHoP1nX3sv9BCr8USEEK0At4S6SggEFvYpORAjvYSIEdP6TAAT+KKI4URFv64syMuVFWL/qe9CA8OT218NbhrW3mPOk5uLB/mTlOdlPmaA4BpKA5nIt+F6Sg6BnQ2PYjBXZ8kQI7fkiBA34UUUwpiLZaJyXr6kU/Ghsy+2YPbJC2pqNLeg+WmPN6l5hlslkaR+MIIAWNY0vJBwggBWRDIwkgBXZ0kQI7fkiBA34UgRSEBCZlQNGW0WEZXrTP/EKWOZ2Zf0N3OzhThxf1LTF/J9/ZPdn9bw1S4J4pJR5MACkgKxpJACmwo4sU2PFDChzwowikIInAS7MzwcpFOkH50anJhVOWS4/BBhledIHsnvy6zi7SxxEBpMARSIopSwApIEEaSQApsKOLFNjxQwoc8KMIpKBSDmyfmpDhRfvMD0f3mV2R3ZNfLXMOLuhbJjsoD5jDZC4CR/0EkIL62XFl9QSQgupZcWbtBJCC2plFr0AK7PghBQ74UQRSUG0O6G4Hd8muydp7cJcML5qSzdL00NkGb+3qNRfI/IP1vf1GVzPiqI0AUlAbL86ujwBSUB83rqqOAFJQHadSZyEFdvyQAgf8KAIpqCcHBqXH4GZdvUi+HpqcWIxbiXgAACAASURBVChiQPY7OEc2R9MJyqd19tRTdCGvQQoKGfamNxopaDryQt0QKbALN1Jgxw8pcMCPIpAC2xz48/SkuUF6D74vcxB0qdPweKXsmKy9BxtlgvKRbTpdmaMUAaSA3GgGAaSgGZSLew+kwC72SIEdP6TAAT+KQApc5YDulayrFn1PVi/SVYzC7dF0MNEbunqC3ZPP6e0zfS0sbxpnjhS4ykLKKUcAKSA/GkkAKbCjixTY8UMKHPCjCKSgETkwIrsn36rLm8oE5fsmxxZu0StC8G6Zd3DxwDJWL4qARwoakYWUeZB8dreb1tYWs2/0wIaFUIKAKwJIgR1JpMCOH1LggB9FIAWNzoEdM1Nms2yOtlmGFz0/o9OV547jOzrNP8rOybp6UdF7D5CCRmch5SsBegrIg0YSQArs6CIFdvyQAgf8KAIpaGYOPCi7J98mcnD76IhRWdBDhWCD9B7809Ll5jXtnc2sTmbuhRRkJhS5rghSkOvwpt44pMAuBEiBHT+kwAE/ikAK0sqB306MmeuG9gaCoLsp63FiR5e5eMky8x6RhJ4CzT1ACtLKwmLdFykoVryb3VqkwI44UmDHDylwwI8ikIK0c2CvLG96g0xO/vbwXvPU9FzvQb8sbfoeWbXoUhGEIvQeIAVpZ2Ex7o8UFCPOabUSKbAjjxTY8UMKHPCjCKQgKzmgfQW/HB8z14oc/FQmKYezD17XKb0HMjFZhxjltfcAKchKFua7HkhBvuObduuQArsIIAV2/JACB/woAinIYg68NDtjrpfeg+tleNGz85OTdWM07T344MBy8+qOjixWu+46IQV1o+PCGgggBTXA4tSaCSAFNSNbdAFSYMcPKXDAjyKQgizngO598LOxEXOtyMHPZQ8E/bceJ3d2m/cPLDUb+gZMt9GdEPw+kAK/4+dL7ZECXyLlZz2RAru4IQV2/JACB/woAinwJQdekB6Db4kc6PyDndKToIf2HpwvvQcf8Lz3ACnwJQv9ridS4Hf8sl57pMAuQkiBHT+kwAE/ikAKfMsB1YEtY8NB78GvZA7C3LpFxpwivQe6ctG5MvfAt94DpMC3LPSzvkiBn3HzpdZIgV2kkAI7fkiBA34UgRT4nAO618G39u2VjdH2mT2yipEeS2THVu090LkHx7b7MfcAKfA5C/2pO1LgT6x8rClSYBc1pMCOH1LggB9FIAV5yIGp/fvNbTr3QAThvsmxhSat1d4DWbno3L5+05nhuQdIQR6yMPttQAqyHyOfa4gU2EUv91Kw7ryPmpWHrTCbN115EKkbbrnLfOZL15lNV19hTj9tTUmSGy+7yjz86JML7z9y9zWLzn1u14EHALtwcDUEDiagD2stMm59aHRu/XyO7BN4QvY6+ObQHnOTzD0YElnQY2lrqzm/d27fgyz2HiAF2c+rPNQQKchDFLPbBqTALja5lgIVAj2SpECF4GvX3mpe2j1YVgouv/Ir5rkXdi1IRfzfWj5SYJeEXF2eAFLgb4aMy2yDH4wMBbsmPzQ5sdCQU+d7D/4+Q70HSIG/eeZTzZECn6LlX12RAruY5VYK9NP9DetPN888v9Nse/DRRT0F99y33Xzqs183W2/+sjn+jEvLSoGWs/ak1ebjH74wIB3KhF4bHkiBXRJyNVJQhBz44/Sk+cbgHnOLbIo2un9u7oH2HlwgvQcflN6Do1Oee4AUFCEL028jUpB+DPJcA6TALrq5lILog/znv3rjIilQIbjsE18w4RCgSlIQnn/WurXmi1d9xISycdGGM5ECu9zj6ioJ0FNQJShPThsRIbhJeg907oGKQni8obMnWLnonJ4+0yHDxZp9IAXNJl7M+yEFxYx7s1qNFNiRzp0U6PAePfQBXo+oFOx49kWz/n2fNHdc/zmz6qgjgvcrSUF4zqErlgZDjfSIzymYmQkXJLQLBldHCDT/mSiz+AMU8n/zQ9MzW08qVjuBe0dHzaaXdpmb9g6a8fkAr2hrMxevWGb+1yGHmmO7OmsvtI4rJqdmTVdna3AleVYHQC6pmgB/z6pG1bwTc/QI09bGw4NN4uROCnQeQfjwHgWjD/UfuuTcYGJx0vHpj11sop/+h+fEewZUMq7ZvGWRGLywh4nGNkmYeG2O/kjZsunTicbyv+ExJhrbsszq9ftkKdMbhgdl34NB82eZpBweb+pqUu+B/L5pnrXqhHbyLKtpkot69XWTZ5kLZI6eo1cu78kcXp8qlDspiMOPDx+Kv1+ppyD+fjicKNrbwJwCn1Lev7oyfMi/mNnUWDdD04nJd8jmaNPzBS2XuQfv7VsqKxctNavaGrPvAcOHbKLGtdUSYPhQtaQ4rx4CDB+qh9qBa+qSAn1QrvU4YfUxicuC1lpOrefXKgXxngDtKdAjXNJUhyfdv/3xYJJyeCAFtUaF82shgBTUQis/5+6W3oPvSO/Bt4f3mqenQz0wJug9GFhqzu7pN+0O5x4gBfnJnSy3BCnIcnT8rxtSYBfDuqUgPq6+XDV0xZ5b7rjHSynQdkWHJOkwpKgQ6PtIgV0ScnV5AkhBsTNER9LdPT4qQ4v2mrtkc7SZeRwrWqT3oH+J+YBMTnbRe4AUFDvPmtV6pKBZpIt5H6TALu65lwI7PNVdjRRUx4mz6iOAFNTHLY9X7ZydMd+SVYu+MzJoXpyZ0wMdDvxm6T14v/QevMui9wApyGPGZK9NSEH2YpKnGiEFdtFECuz4BVcjBQ4gUkRJAkgByREnoDrwU9nv4DqZmLx1YlS2SJs7DpG5Bxu196B/uXl5e3tN4JCCmnBxcp0EkII6wXFZVQSQgqowlTypLimwu2X+rkYK8hfTLLUIKchSNLJXl2dkvsG3hveY64f3mUGZhxAeb5Heg39esty8Q/Y9qOZACqqhxDm2BJACW4JcX44AUmCXHw2TgnAyci1zD+yakt7VSEF67ItwZ6SgCFG2b+O0bDBwu6xYpMua/mbiwDLJx3d0mo8tPcSs7+0PhhqVOpAC+xhQQmUCSEFlRpxRPwGkoH52eqVTKdAJxdF9AKLLdtpVM9tXIwXZjo/vtUMKfI9g8+v/lOx18A2Ze/A9mXswNL8b2VFt7eYDA8vMRf1LzQoZZhQ/kILmx6mId0QKihj15rUZKbBj7UQKdJnOO7duW6jJpquvMKeftsauZh5djRR4FCwPq4oUeBi0jFR5QmYb3DKicw/2mgcmxxdqpb0GH+xfZt7SfWCjH6QgI0HLeTWQgpwHOOXmIQV2AbCSguh+BeGOwJU2A7OrbjavRgqyGZe81AopyEsk023HY1NT5ptDe8zNI/vM8HzvwTHtHcGeBxfJxmhH9nUGOxrvG2Xn7HQjle+7IwX5jm/arUMK7CJQtxSUmjOAFNgFhKshECeAFJATLgmM7Z81t8jKRdfK8KLfT00ERXfKbIN3DwyYf16+wqwxjdkx2WUbKMtfAkiBv7HzoeZIgV2UrKQgaSMvpMAuIFwNAaSAHGgWgT9OT5pvDO4xPxRJGBFZ0OO4jg7zfhlatFF6DwZay01NblYtuU+eCCAFeYpm9tqCFNjFpG4p0NtGhw+F8wiQAruAcDUEkAJyoNkEVAhunxwx39y7x/x+Yq73oEt6D/6+r1+GFy0zazu7m10l7pdTAkhBTgObkWYhBXaBsJKC8NZMND6w/J9dOLgaAgcTYPgQWdEMAuFE41/sHQomJv9QJiiPzW+LtlqWNb1YVi26QL76Zd4BBwTqJYAU1EuO66ohgBRUQ6n0OU6kICw+uiRp0tAiu6pm92omGmc3NnmoGVKQhyhmvw3x1Yd0MvL3hgfNdfL16NRk0IAe6T04V1YuumTJMnMSvQfZD2oGa4gUZDAoOaoSUmAXTKdSEK0Km5fZBYarIRASQArIhWYQKLck6TZZzlR7D34kvQe6zKkeuimaDi06r2/A9LUcvO9BM+rMPfwjgBT4FzOfaowU2EWrLinQB/5adirWHoRb7rjHbN50pV1tM3o1PQUZDUxOqoUU5CSQGW9GNfsUDM3uN98dld4DEYTHZYlTPVQI3i29B/+8dLl5TXtnxltJ9dImgBSkHYF83x8psIsvUmDHL7gaKXAAkSJKEkAKSI5mEKhGCqL1+O3EWCAHt4+OmMn53oPXdXYFvQcbRBJ66D1oRti8uwdS4F3IvKowUmAXLqTAjh9S4IAfRZQngBSQIc0gUKsUhHXaNztrbhgZNN8eGjR/np7rPRiQycjv6VtiPjiw3LxaljjlgEBIACkgFxpJACmwo1u3FNR62xNWH8PwoVqhcT4EhABSQBo0g0C9UhCt26+190A2RbtjfMRMze+afLJMSNaJyTpBuVsmKnMUmwBSUOz4N7r1SIEd4bqkwO6W+bua4UP5i2mWWoQUZCka+a2LCykI6eyV3oPvyKpF2nvwl5m53oMlshHaP/QuNZeKIBzbTu9BfjOpfMuQgqJGvjntRgrsOCMFdvyCq5ECBxApoiQBpIDkaAYBl1IQ1lfXKfrluPQeDO81d8quydPzb5wqvQc690B7DzrY96AZ4c3MPZCCzIQilxVBCuzCihTY8UMKHPCjiAqfrPW0mxZ5cBoanfvElQMCjSDQCCmI1vOl2Rlzw/A+c70IwtPTc3qwrLXVXCBzDy4VQTia3oNGhDVzZSIFmQtJriqEFNiFEymw44cUOOBHEUgBOZA+gUZLQdhC7T3YOj5qrpWVi/5zbMTMzL/xxq4e6T1Yas7p6Tft9B6knxANqgFS0CCwFBsQQArsEgEpsOOHFDjgRxFIATmQPoFmSUG0pTul9+DbMvfgOzL34LmZud6DFbKU6Xv7l5gPyNyDVW3MPUg/M9zWAClwy5PSFhNACuwyAimw44cUOOBHEUgBOZA+gTSkIGz1rPzwM+k10H0Pfia9CPpvXafoLd3ae7DMvFN7D9JHRA0cEEAKHECkiJIEkAK75EAK7PghBQ74UQRSQA6kTyBNKYi2/gXpMdBVi74jex+8ODM3uOiw1rag90DnHhzZhh6kny311wApqJ8dV1YmgBRUZlTuDKTAjh9S4IAfRSAF5ED6BLIiBSEJ1YGfzvce/CLSe7CuqzeYe/B2WbmoLX1s1KBGAkhBjcA4vSYCSEFNuA46GSmw44cUOOBHEUgBOZA+gaxJQZSIzje4VjZFu3Fkn9F5CHocLr0HF0nvwSXSe7CS3oP0E6jKGiAFVYLitLoIIAV1YVu4CCmw44cUOOBHEUgBOZA+gSxLQUhHdeAnst+B7nug+x/oSkat8nVGd28gB3/b00fvQfqpVLYGSEHGA+R59ZACuwAiBXb8kAIH/CgCKSAH0ifggxREKT0jex18a3iP2Sx7H+ySHZT1eJn0GPyjDC26uH9pMA+BI3sEkILsxSRPNUIK7KKJFNjxQwoc8KMIpIAcSJ+Ab1IQEpvev9/8eEx6D2Tlol9PjAcvqw6cKb0GunLR26QXQVcy4sgGAaQgG3HIay2QArvIIgV2/JACB/woAikgB9In4KsURMntmJky1+wbNN+VlYv2zPcevLy93byvf5n5R5l/cCi9B6knGlKQeghyXQGkwC68SIEdP6TAAT+KQArIgfQJ5EEKQopT0ntwm65cJJOTfzs5FrysC5nqikU6tOit9B6klnBIQWroC3FjpMAuzEiBHT+kwAE/ikAKyIH0CeRJCqI0n5qeMv9P5OCm0X1mcL73QHdK1mVNLxRBWNGqU5U5mkUAKWgW6WLeBymwi7v3UnD5lV8xd27dZh65+5pEEuvO+6hZedgKs3nTlYnv33DLXeYzX7ruoPdOWH1McM099203l33iCwe9H73fc7vmPonigEAjCOjDWktLixkanWpE8ZQJgYBAXqUgDO+krFV068jc3INtk3NzD7T3YL3slqxzD3T3ZI7GE0AKGs+4yHdACuyi77UUqBDcv/1x89LuwUQpUCHQo5wUJOHbeNlVZsP6081FG85ckIJS0qHXIwV2ScjV5QkgBWRIMwjkXQqiDJ8Ieg/2mO/LvgdDMtRIj2PaO8z7RQ4u7FtiltF70LCUQwoahpaChQBSYJcG3krB5796o3nuhZfM+WevCz7Jjz+0hw/2zzy/02x78NGSPQVxfNoz8KnPft1svfnLwVthTwFSYJdoXF0/AaSgfnZcWT2BIklBSGVceg9uGRkKeg8enJwIXu6UtYrO7p1buegNXfQeVJ9B1Z2JFFTHibPqI4AU1MctvMpLKVAhCB/0kx7aVQjWnrTafPzDF5roudWgivYSRKUgem1cEOgpqIYs59RLACmolxzX1UKgiFIQ5fPH6UlZuWiv+YH0HgzP9x4c1yG9B7Jy0ca+pWaglYVNa8mnUuciBS4oUkYpAkiBXW54JwU6B+Br195a8pN8HVKkxxev+kjwvRYpiPcSJKFVadAjOkdhZHzaLgpcDYEyBDra5yZCTk3PbdDEAQHXBPQZuLOjNVjPf7LgeTYqk5G/O7TPfGPXbvPA/L4H3TKn5z1Llph/Wb7CvKGH3gOb/OtokzyTRCt6ntkw5NrSBPq6daYQR70EvJOCcGJxUoPvuP5z5uJ/+/dgjkH8OHTF0gWRKAVL5yB86JJzg7kEpY6knonBESaA1puAXFeZQJc+rMl/RccnZyqfzBkQqIPArEhBTyd5Fkf3wPi4+ebePeYmkYTR/XNS/trOLvNPy5abi5YuNf0trFxUa7rx96xWYpxfC4GlfR21nM65MQLeSUE8gpXG/FfbUxDvgahFChg+xO9VIwkwfKiRdCk7JFD04UPlMmFEhODW0WHz9cE9RocZ6dEl/Srn9PWbTy491BwlG6RxVEeA4UPVceKs+ggwfKg+buFVhZOCUCI2XX2FOf20NQv0SvUSaM/E5f96gVl11BHBuXreKWuOWxiepK8hBXZJyNXlCSAFZEgzCCAF1VG+X4YUXTe81/xQljedkInKerysrd2cLUubvkskgcnJFf6eyfCOVpmfsY8llqtLOM6qiQBSUBOug05GCgRJuLRpuOJQlJL2NFyzecvCS+H+BdFzkAK7JORqpIAcSJ8AUlBbDHQy8o3Dg+ZbsnLRn2WJ0/BQQbigb8BslI3RjpZlTjkWE6CngIxoJAGkwI6u91Jg13w3VyMFbjhSSjIBegrIjGYQQArqp3zf5JisXDRotsgQo7D3QEs7SeYfnNe/xLy7d8Ac2tpW/w1ydCVSkKNgZrApSIFdUJACO37B1UiBA4gUUZIAUkByNIMAUmBPWScjbxkdCTZF++X4qAmXBtAZB2/t7jX/IILwzt7+YD5CUQ+koKiRb067kQI7zkiBHT+kwAE/iihPACkgQ5pBAClwS3m3LG16y+g+8/3hfQsbo+kd+mUlsXeJGPyD7H3w5u6ewukBUuA2zyhtMQGkwC4jkAI7fkiBA34UgRSQA+kTQAoaF4MdM1PmJtk5+QciCPH5B++Rycnv7VtmdKO0IhxIQRGinF4bkQI79kiBHT+kwAE/ikAKyIH0CSAFzYnBQ5MTQe/BraNDZufsgb1Hju/oDIYXnde3JNfzD5CC5uRZUe+CFNhFHimw44cUOOBHEUgBOZA+AaSguTHQrdB03sHNMv9AJyjrakZ66HTk02VYkQ4v0iVOu3M2wAgpaG6eFe1uSIFdxJECO35IgQN+FIEUkAPpE0AK0ouBrlj0ExGDm2WI0c/HRsz0fFV6Zcfk9b195nzpPfgbmaich/2TkYL08qwId0YK7KKMFNjxQwoc8KMIpIAcSJ8AUpB+DLQGgzJBWYcW3Tw8ZP5Lljqd6z8w5nBZ0vQ9IgfnyxAjHWrk64EU+Bo5P+qNFNjFCSmw44cUOOBHEUgBOZA+AaQg/RjEa/DczLQsbyqCMDJoHps6sEHaap1/IMOLLugfMId5tv8BUpC9PMtTjZACu2giBXb8kAIH/CgCKSAH0ieAFKQfg3I1eGRqUnoPBmWZ0yHzwszcBGUdTvSmLpl/MLDUnN3TZ/pkuFHWD6Qg6xHyu35IgV38kAI7fkiBA34UgRSQA+kTQArSj0E1NdDhRPdOjIkg7DO3jw2ZfbNzA4x0QrJujKbDi9bJ/IOs7p+MFFQTZc6plwBSUC+5ueuQAjt+SIEDfhSBFJAD6RNACtKPQa01mJIVi/5TJiZ/X3oP7pKdlCfnZyAcKkOK3t07ECxxemJnV63FNvR8pKCheAtfOFJglwJIgR0/pMABP4pACsiB9AkgBenHwKYGQ9JjcJv0HOgQo99MjBtd8lQP3RTtfJl/cH7fgDmyrd3mFk6uRQqcYKSQEgSQArvUQArs+CEFDvhRBFJADqRPAClIPwauavCCTFDW5U1/IHsg/EHmIoTHaZ095pz+fnNOz4A5oi2dAUZIgasoU04SAaTALi+QAjt+SIEDfhSBFJAD6RNACtKPQSNq8LisWnSTrF6kE5SfmQ53QDDmnTIx+VSZe/A2+dLVjJp1IAXNIl3M+yAFdnFHCuz4IQUO+FEEUkAOpE8AKUg/Bo2uwQOT4+bHIge3jYyYHTMHljg9ur0jkIS3y0TlN8pqRo08kIJG0qVspMAuB5ACO35IgQN+FIEUkAPpE0AK0o9BM2vwmAwr2iKTlLeIJPx+UvdUnjuWtbaaM0UQ3iGCoL0IuquyywMpcEmTsuIEkAK7nEAK7PghBQ74UQRSQA6kTwApSD8GadVg5+yM9CAMm5+IIPxqfMyEg4w6WlrMW2Qewll9/WZ9T7853ME8BKQgrSgX475IgV2ckQI7fkiBA34UgRSQA+kTQArSj0EWajCyfzZY5nTLyLD5+fiIGZJlT8PjeJl7cJbIwVnSi1DvUqdIQRainN86IAV2sUUK7PghBQ74UQRSQA6kTwApSD8GWavBtAjBPbJR2hbpRbhzbNi8OL+TstZzpfQavF0EQYcZnS7zELRXoZoDKaiGEufUSwApqJfc3HVIgR0/pMABP4pACsiB9AkgBenHIOs1eFAmKt8xLwiPyapG4dEn8w7e2tNr3iGS8HaZj6DzEkodSEHWo+x3/ZACu/ghBXb8kAIH/CgCKSAH0ieAFKQfA59qoKsX/Vh2Ud4i+yH8TmQh3Cx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"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Do more rounds of diffusion, over large times spans\n",
"for _ in range(9):\n",
" bio.diffuse(total_duration=300, n_steps=10000)\n",
" bio.visualize_system(show=True)"
]
},
{
"cell_type": "code",
"execution_count": 13,
"id": "09650e97-ced8-4744-849f-93845239c11b",
"metadata": {
"tags": []
},
"outputs": [
{
"data": {
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"config": {
"plotlyServerURL": "https://plot.ly"
},
"data": [
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"colorbar": {
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"hovertemplate": "Conc.: %{z}
Bin #: %{x}
CHEM: %{y}A",
"type": "heatmap",
"xaxis": "x",
"xgap": 0,
"y": [
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],
"yaxis": "y",
"ygap": 2,
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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Show as heatmap\n",
"bio.system_heatmaps()"
]
},
{
"cell_type": "markdown",
"id": "f88981df-183f-4104-9464-25736a5f5c23",
"metadata": {},
"source": [
"The system is **approaching equilibrium** at a value a little less than 45. \n",
"\n",
"That's consisten with the contribution from: \n",
"1) a slightly truncated bell curve (whose total un-truncated area underneath is 1, multiplied by the \"amplitude\" factor of 20)\n",
"2) the 50-0 gradient (with average value 25)"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "ee1c169c",
"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
}