{
"cells": [
{
"cell_type": "markdown",
"id": "a40f6857",
"metadata": {},
"source": [
"## High Frequencies in the concentration get smoothed out first by diffusion \n",
"### Ultimately, the only frequency passing thru is zero! (i.e., uniform concentration at equilibrium)\n",
"#### We explore how an initial concentration with 3 different sinusoidal frequencies fares in the course of a diffusion to equilibrium\n",
"\n",
"**The initial system state will consist of:** \n",
" 0 - A constant baseline of value 30 \n",
" 1 - A sine wave of frequency 1 (1 cycle across the system's length), of amplitude 10 \n",
" 2 - A sine wave of frequency 10 , of amplitude 4 \n",
" 3 - A sine wave of frequency 40 , of amplitude 2 "
]
},
{
"cell_type": "markdown",
"id": "551c0580-553f-405d-9352-e900b8190a05",
"metadata": {},
"source": [
"### TAGS : \"diffusion 1D\""
]
},
{
"cell_type": "code",
"execution_count": 1,
"id": "cfc3550e-c471-41e0-9dbe-0cc1bdd672f8",
"metadata": {},
"outputs": [],
"source": [
"LAST_REVISED = \"May 2, 2025\"\n",
"LIFE123_VERSION = \"1.0.0rc3\" # Library version this experiment is based on"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "6e5d46c6-e5c5-4bb5-9b4d-80a8f06dacd7",
"metadata": {},
"outputs": [],
"source": [
"#import set_path # Using MyBinder? Uncomment this before running the next cell!"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "d142d450-f2af-42fa-9026-2b44919c5b40",
"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"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "2fb248ef-c963-4e84-88b0-8f47945ce17d",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"OK\n"
]
}
],
"source": [
"check_version(LIFE123_VERSION)"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "b235fc3f-5292-4485-938f-b8361d0b7ab3",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": 5,
"id": "696122b0-c8c4-4d43-a4fc-319f95221602",
"metadata": {},
"outputs": [],
"source": [
"# Initialize the system. We use a RELATIVELY LARGE NUMBER OF BINS, \n",
"# to captures the many changes in the high-frequency component\n",
"chem_data = ChemData(names=\"A\", diffusion_rates=0.5)\n",
"bio = BioSim1D(n_bins=500, chem_data=chem_data)"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "20136c8d-436b-4eb2-8b3c-14e632af2934",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "markdown",
"id": "20c8fd90-5315-4c5c-a60b-20427fc13b84",
"metadata": {},
"source": [
"## PART 1 (of 3) of Initial Preparation -\n",
"### Start with a sinusoidal concentration, with exactly 1 cycle over the length of the system\n",
"#### (notice the bias value of 30; it will be seen at the eventual equilibrium, at the end)"
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "99ab76d6",
"metadata": {},
"outputs": [],
"source": [
"bio.inject_sine_conc(chem_label=\"A\", amplitude=10, bias=30, number_cycles=1)"
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "012d98f0-4846-4d56-8b50-f30543b31fe0",
"metadata": {},
"outputs": [
{
"name": "stdout",
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"text": [
"SYSTEM SNAPSHOT at time 0:\n"
]
},
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""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Visualize the system's initial state\n",
"bio.visualize_system(title_prefix=\"Low-frequency component of the Initial System State\")"
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "5e1dafea-ae1a-445b-ac7e-9638b6871775",
"metadata": {
"tags": []
},
"outputs": [
{
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"zerolinecolor": "white",
"zerolinewidth": 2
},
"yaxis": {
"automargin": true,
"gridcolor": "white",
"linecolor": "white",
"ticks": "",
"title": {
"standoff": 15
},
"zerolinecolor": "white",
"zerolinewidth": 2
}
}
},
"title": {
"text": "Low-frequency component of the Initial System State
System snapshot at time t=0"
},
"xaxis": {
"anchor": "y",
"autorange": true,
"domain": [
0,
1
],
"range": [
-0.5,
499.5
],
"title": {
"text": "Bin number"
}
},
"yaxis": {
"anchor": "x",
"autorange": true,
"domain": [
0,
1
],
"range": [
-0.5,
0.5
],
"type": "category"
}
}
},
"image/png": 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axYaLfHB/7bVIVuNhXc3HYDXyZp+Xn8BauXaXnyR7AAEIQAACEIAABCAAgeUlgFxaXv5sHQIQgAAEIAABCEAAAhCAAAQgAAEIrGoCyKVVffjYeQhAAAIQgAAEIAABCEAAAhCAAAQgsLwEkEvLy5+tQwACEIAABCAAAQhAAAIQgAAEIACBVU0AubSqDx87DwEIQAACEIAABCAAAQhAAAIQgAAElpcAcml5+bN1CEAAAhCAAAQgAAEIQAACEIAABCCwqgkgl1b14WPnIQABCEAAAhCAAAQgAAEIQAACEIDA8hJALi0vf7ZekcCRGzY193z+/ub6Ky6sWCtVQQACEIAABCAAAQhAAAIQgAAEINBHYG7l0t4HHzfFZZ+99my2bdk4kzPmnIsvb7Zuu7q56tKzmj1232Um25j3Smchl2ZRpz9O7hx8zkH7NedvOkE6dDfceEuz4bTNzRknHdscffghE2VO3nhRc831NzVbzj6lOXD/faX6Zp2pb39Lt+2Oy6233zGuJoVj6bYpDwEIQAACEIAABCAAAQhAAAKTBOZOLl125bXNmRdcMnVT72+Ed95xh5lEviCXZn/pzUIEzaJO5FLZuXDQEScOKmhHqKWKurI9oDQEIAABCEAAAhCAAAQgAAEItAnMnVxyN6F9EUouAkSNJEk5lZBLKbTy8s5CBM2izlnIpTxisy01i8glL4fDCC3/PZGBsz2m1A4BCEAAAhCAAAQgAAEIQKCLwFzKJWUKjb9Z7ZqC5G+ajzvy0ObU448acPX525B9WS+WwgPQrvvOu+5tDjvm9Iks4Q20Fx1veO0rBtOj/J+XZeE+KL/T19G1/Xb5tii48eOfHEzB8n8hoy4WLm+YL6VOV95FrNx3/wPj7YZRZp7PJW9+3QTLWDRaeFy66mtPvfIbtgRGuJ+uXFh317TMvqg5zyo8h/wx6pKXtc4XP+UuPN/6mlRrf3ObY78vt123daIKf/62r8ncbVAOAhCAAAQgAAEIQAACEIAABNIIzJ1c8jf+yto0XdNvHN4wmsXf2Lfr9DfBXkT0RS55GdMlq9pCxq8z0468akuhru+Vm+0+Wea335YF7X3q+l3u91x51Q0T61d1yTqrzjbPMOLM/+62APN8ukROKNp83rakiH2Xuki4O2+cAGyvfVRjKldfJFBMLjk5VnK++OulzSl2XYRNjxW51CXYupqv8BjFjgdT49Iaf3JDAAIQgAAEIAABCEAAAhCoRWDu5FJXhI6D2SVhuqbg+PKh9Om64XXlf+SH9hks4N0nl2I3xU5Q3XzLp8Zry8SmaLmb/V0ft+PUYuSx78OTJ7Zv7rf+7d/fOlg8OiYKUiJG3P48fd/vHk877JMP7X23pIqPHovxCaNd+uoLj0WtaXFd07ZSZYjFIVwwvvR86TsvXJRdV1Rf+9yy5FJOI9YntlJ55myfMhCAAAQgAAEIQAACEIAABCAwTWDu5FIbQfjGKZcWRriEN6z+hrsdTeHlRd9aTrEbdUUY+G3FZEHq9+Fp0J7GFk438nlz5JL1Rj7l7Wduf9pCsC/iTJVLfaIvrCNXLsWmQobRWClTF5VzpT1lL/W8SPnt7thaUXHIJbocCEAAAhCAAAQgAAEIQAAC80FgruVSeIi9bGoLgFBExG6qw3VpXN3tm++Y0IitT9TeNy8MSmVB3yndtR9tWZYilzyLUJyEkVSqXHL7HYs4U6ZMhZFLsXV73HbCqXGpcqm9n23R0xUFlxpps9RyqWvtqPY5ZIkxSy4xLW4+Ohl+JQQgAAEIQAACEIAABCCw9gkgl1rHOLaItxdK3/kdj2vOvOCSxlrQ2VUZru1kRS4pa0DNUi6Fp7oXMF6QpcilmDRJkUuW1PHHqi3AVkLkkiURV1vkkjsvtm3ZmNUSWnIpp1IW9M6hRhkIQAACEIAABCAAAQhAAAKzJTBXcslFlWx731+P3/AWoo2JAb/2kVvXaLdddxqvGeTLu/TzN50wUV14Y933qnQ1gmVWcqlr/92Pae+XKpf61mBKkUvtbTt2T9jt8RMLZLv9U6dxlay5FK57ZV2OMfnRFbkUrkFl1d213pcv0/e2uOuvuHCiavU86ps+aO2rS+/bX6V8V54uji5f3/WVuy3KQQACEIAABCAAAQhAAAIQgIBGYO7kkluI2P2FkUL+5rRrqk9sqpNH3PVGrfBtcX3Spettcf7m/NhXv9Fc0FuVBbFTwu9rm0kYxaXKJbeNrkWXPaOuqXbh2j3h1LQuPrG3xXUtrN4lfPw2wjWK3NvV2lPtYjIjxrIr+q095bDrjYKxda66thFbpH0Wcskfy/vuf2CCifveMd3/aU8ZLPbe96cuKq81V8NcNd68l7I98kIAAhCAAAQgAAEIQAACEIBAP4G5kkuhDArR9E13s26Su9aPCaVBuK5R+21bylvsUiWSNbWs/fu7Fjdvi5AUudSWEn4bjq0TZe232vk6d95xh8YJDP/nPofRNl0LZHdJKVUuuW2FdXZt1+UL19OypkWGx9kJSydi3JTKUGq21zWKbb99nMLzxMvQWcmlrt/v90eRYrH9LW2Yw/PVWv+pdHuUhwAEIAABCEAAAhCAAAQgAIE4gbmUS6knRGr0Smr985p/FmvyzCtLfjcEIAABCEAAAhCAAAQgAAEIQGC5CCCXBPJd03CEYmQxCCCXOEUgAAEIQAACEIAABCAAAQhAAAKrnwByyTiGsTfIrf5Dv/y/ALm0/MeAPYAABCAAAQhAAAIQgAAEIAABCJQSQC6VEqQ8BCAAAQhAAAIQgAAEIAABCEAAAhCYYwLIpTk++Px0CEAAAhCAAAQgAAEIQAACEIAABCBQSgC5VEqQ8hCAAAQgAAEIQAACEIAABCAAAQhAYI4JIJfm+ODz0yEAAQhAAAIQgAAEIAABCEAAAhCAQCkB5FIpQcpDAAIQgAAEIAABCEAAAhCAAAQgAIE5JoBcmuODz0+HAAQgAAEIQAACEIAABCAAAQhAAAKlBJBLpQQpDwEIQAACEIAABCAAAQhAAAIQgAAE5pgAcmmODz4/HQIQgAAEIAABCEAAAhCAAAQgAAEIlBJALpUSpDwEIAABCEAAAhCAAAQgAAEIQAACEJhjAsilOT74/HQIQAACEIAABCAAAQhAAAIQgAAEIFBKALlUSpDyEIAABCAAAQhAAAIQgAAEIAABCEBgjgkgl+b44PPTIQABCEAAAhCAAAQgAAEIQAACEIBAKQHkUilBykMAAhCAAAQgAAEIQAACEIAABCAAgTkmgFya44PPT4cABCAAAQhAAAIQgAAEIAABCEAAAqUEkEulBCkPAQhAAAIQgAAEIAABCEAAAhCAAATmmAByaY4PPj8dAhCAAAQgAAEIQAACEIAABCAAAQiUEkAulRKkPAQgAAEIQAACEIAABCAAAQhAAAIQmGMCyKU5Pvj8dAhAAAIQgAAEIAABCEAAAhCAAAQgUEoAuVRKkPIQgAAEIAABCEAAAhCAAAQgAAEIQGCOCSCX5vjg89MhAAEIQAACEIAABCAAAQhAAAIQyCdw8saLmmuuv2migucctF9z/qYT8itdhSWRS6vwoLHLEIAABCAAAQhAAAIQgAAEIAABCCwvgb0PPq7ZeccdmuuvuHBiR47csKl59cuPaA7cf9/l3cEl3DpyaQlhsykIQAACEIAABCAAAQhAAAIQgAAEVj8BF7F08y2fmhJLXb/soCNObO67/4FBUiijzrn48uYDH/po86qXvqA584JLxsVvu27rRFUu39ZtV4+/W2nRUcil1X9O8wsgAAEIQAACEIAABCAAAQhAAAIQWEICLmrpuCMPbU49/qjerTqx9PR9v3s8TS6UUl4atWWRi3xyf9u2bBz866fetYWTy+PTl/BnRzeFXFoJR4F9gAAEIAABCEAAAhCAAAQgAAEIQGBVELjzrnubw445vdly9im9U99uuPGWZsNpm5swCsmJKV/WRy61p9ZdduW1zVve+b5xVFQ7/0oFhFxaqUeG/YIABCAAAQhAAAIQgAAEIAABCEBgxRFQ5VKXOHI/xkUzPe/ZBwyinmJyyU2Rc1LKC6qrLj2r2WP3XVYcC79DyKVKh+buL3y1Uk1UA4G1QeARD3tI86iHP6S5/0tfXxs/iF8BgUoE1q9f1zx+h4c393zxa5VqpBoIrB0Cu+74yOZzX/xqs7B97fwmfgkEahDY8TEPa77ytW82X/vGQo3qqAMCa4bAbjs9ctl+i4smOuOkY5ujDz8kug/IpWU7PKtvw7968kmDnV4YjYK2bx+OhhYWhg1/7udZl5PrH/2e7aPfs+A/G9+Hvz+2Pf99rXS1nnC7OeViddT+3l8VYb3h97n5rHrCq9LvR6xc7e+t7VutRri/Vv5Zpa9bty6pajV/LF/p92r5MJ/6uTSfLz/Lf626169fPzimVr4wXS1n5ctND8utH52b64LfE34//jzKP1VPhEetfLHfa9Vvpw+vTTvf5PGW84+4RHnmpofHy9eT+L0/P2O/R/6dwXnhJOrw+hhyi3/W+Fv7uXidhdvrrt/t12Kdk/s6/X13+vS1reWz2gzr2o61n1a9ajnfWYX1hd/nfo6Vs75X05M6257M1vghlq5+b42nYunW92p6bLwaG0+mjtnt8fDwXim8h5ouF95TDe+1FvPF6lnouQ/zdaTdr8n3T+P7wnDfJj/n3i/WLhetL7z/q/W58D453N9zN59X67JPrseteXTP5+/vXNDbRRv5v9xpcT5ySY2SSv4BlQsQuVQIFLk0aiQD6YRcand6YSeY9jnWyYff5+az6gkvEWswFKsv93tr+9YlbA0OrfK10lVZlDp4ViWQVa8le2LlrXLWzYxVr1VevZnKyWeVUW8AkUv9UkaVBsilkbjIlEj5kihPqiGX0sVz7FqItUVh+2m1WWp7GqvXaq/V9NT+KOyHU/vT3H7cGj+oEkkdZ1njK+shY2o6csmN1ZFL7vxELuW2Ek3jpU/X29/cW938mkrKgt7ubXHhmkteLrk97HozXXtBbxdFtdxvj0Mu5Z9Lg5LIJeSS/WQmTSapgwNrsKIOUqx6LLlTOriypJO1fesStgaHVvla6amDYTU/cslHCtT/17pRQy7VkUbIpVGkTRBBZkY6JUYoIZfCSEMil1KllSqPrIcOyKUhgdxxmhqZFI6v1PGqWi72IFndjhc7RC6lz3QhcmlSCi5n5JK/XpzkufX2OyZuG8L1kZxguu/+BwZ5umSUJZe8YLrm+pvG22nLJORSrbu2ZawHuYRc0jvRPMkU6+QtKZQ7aLFkj1VvankrP3Kpv4FDLtWXSo6444pcCiJlvPxgWtzgopRlTe60N0s2IZc6j8P0NDymxVnT29R05NJkf1z6cM0aT1kSyZJAVjqRS0QueUlF5NIyyoQ1tmkilwoPKHIJuYRc6l51tXTQFbs0UyORUvMXNgnR4mokUmzwHqsYuYRcikkweRoZay6lySJRro35I5dGfGNrMLHmUu7U2bC/sIQ40+LSenhr/FA6zkEuseZS7Qgka02o2PaQS2ltA7njBJBLhWcHcgm5hFxCLinNCHJpSMl6Qh67Wcq9iVJvtrryWWWZFse0uPY5HY1kQi4hl4Kov1ptS267aJVT2+HcSCbrIYrVX1rpSp+s5EEu9UfcMy2ubzrb5ILhi1P/WNDbXXu5Ui0mz1bCtDilTZmHPMilwqOMXEIuIZeQS0ozkjoYVvMTuUTkEpFLeQtOL671pEXOyNPgwsgm5BJyCbnU2U2m9l+WlFL64pQ8yCXkkvqComlZglxy19rU28b92+bW0NviUtqUeciLXCo8ysgl5BJyCbmkNCOqLEodPKcOztX8ufmshVyJXJpeqydVDi1KkXCB4knRxrQ4VRqp+TIlFnIJuYRcQi65G+3Rm5U9jNzP1lpMajprLrHmEmsuKSN48qQQQC6l0OrIi1xCLiGXkEtKM4JcGlJCLiGXZOkVWbDaWp8mPcIIueSuzRi3dJ6jt9+tj62xFEOrWpgAACAASURBVKZr/GNSdfp80up3C3+H0Wt+MfDp7yd/S1wIa/mYFjfZH4R9qNVfWulKn6zkIXKJyCUil4L7PB95NBKl0cgkK53IJaUJWpV5kEuFhw25hFxCLiGXlGYkdTCs5lcjjKyIKCviKFbeKhdLV8tZ5a2btJJ0qyxrLrHmUluYsubSpCRaj1wy3ziZG7VY2i6G7bkl/dX2Wu0nUvujVPmk9MlKHuQScgm5hFxS2oqVlOfkjRc111x/U3PbdVvHu3XZldc2Z15wyfhzO632viOXCokil5BLyCXkktKMqLLIGnSrg+xS6aSWz73pUMuV3kRZgqgv3SqLXEIuIZf6Ip6IXLLaEOTS8BxR+7XU/lHpm/vyIJeQS8gl5FJpO7KU5Z1YuvmWTzX33f/AWC7dede9zWHHnN5cdelZzR6779Kcc/HlzU3/eHuzbcvGmewacqkQK3IJuYRcQi4pzQhyaUjJekIe3jwgl6aZeSaW3JKnn/n1YMJpaMH364N1Y6zpUrH9lPeLaXHDaya2ZlOET/3pbXlrTRG5FL92LelkXdul7WKsnbXqjckd9WGBKpGs/tJKV/pkJQ9yCbmEXEIuKW3FSsjjpNHd99zX/MxPHdRsOG3zWC6FMimUTbX3HblUSBS5hFxCLiGXlGYkdTCs5lcjjKwnvtbNQa2bCuQSay4hl0ZrAsXknboAOHJp0Cyx5lK6xEIuKb329ALcYamYfFK/Z0Hv0T3EQr/E2r59mG/xNfRh/lg9C60ysTrC7/s/L+6DVY63xQ2OWWyNJtZc0hohMVdbIN1w4y0TcslFM7m/8zedMK5t74OPa7acfUpz4P77ilvQsyGXdFadOZFLyCXkEnJJaUZUWWRJoHBbyKXJN6RZEQEp6VZeNbogrEctZ+XLTZ+KbCFyqVNSWJFZcroqi1JlE3IJuTTqEKy2ypL6anqthwxWP2f1l1a60icreYhcInKJyCUil/raiqVqi/rEtltP6S3vfF9z/RUXDrKFcunIDZua3XbdaUounXHSsc3Rhx+iNIVJeZBLSbimMyOXkEvIJeSS0oykdkBqfuQScil13RbkUjjNS3tbmSyTRpJonB+5NJJAsTWYNP76NEveFmfJplDuIJe6e3HkEnIJuYRc6hvj+35euQ+omcefl65Ov4B3V/1unaXz3/qeQRKRSzWPwAzrQi4hl5BLyCWliVFlkfVEN9wWcgm5hFzKWxNoUVZocgO5lMaJNZfSp6vFBFrsGrckUW65WL2x/smaVl2rn0rtH5W+uS8Pcgm5hFxCLvW1EQ95yENKm5ms8v/7v/8bLRdGLrHmUhbi5SuEXEIuIZeQS0oLhFwaUrKekKs3NdaT+RrpVh3WtLRU6ZM6fc7avry2EdPiBqddtjwKI5WIXBrx5G1xVhtS2kYgl5TeNz8Pcgm5hFxCLvW1IN/yLd+S38AUlPzmN78pyyXeFlcAejmKIpeQS8gl5JLS9iCXkEupUQm58sjaDtPimBaXItNypRuRS0QuWZFGqRFNVn1KX5ySB7mEXEIuIZf62oyHPvShKU1Ktbzf+MY3ZLnkMrp1mc684JJxmduu21ptX8KKWHOpEC1yCbmEXEIuKc0Icgm5ZEkfIpfSprepa/DYciRtulfydllzyYhk0vir3NetY80lK2LKiniKpcfkDtPiJkcBvC3Oevtb7E1qsXK8LS58S10ovdTPsXzR8rG3vW0fHavc9DXytriHPexhyi1A9Txf//rXq9dZq0LkUiFJ5BJyCbmEXFKaEeQScgm51C0RVGkgT/OLvEUtvh1NbtiSKiLHkEvIJT/1VPzXilqMyRxLKqnlkEtDAkQuEblE5BKRS31j/Ic//OHKLUD1PP/zP/9Tvc5aFSKXCkkil5BLyCXkktKMIJeQS8gl5JK7CtbVkk0RiRaTYLlyLL8cay6psic1alGVRLHtE7mk9NrIJWt8GxMvVrnF9NE9xIIV6UTkEpFL4Tkw+fnczedpF3XlXI94xCMq16hV97WvfU3LuAy5kEuF0JFLyCW9E7U6z+50f4qG2wm/z81n1RNeIuGTPDX8O7Yd63tr+9YlbD15tMrXSkcuIZeQS8gl5JJbh0ibtpYbqabW7/ItXpOTImz6++70aSmk5bOkE5FLQ46xv9T+NLcft8YPpeMfazwVS7e+V9Nj49fYeDLMj1xaFJDT08piU/8mhZo6nQ25tDLl0iMf+cjc5qWo3Fe/+tWi8rMsjFwqpItcQi4hl4hcUpqR1MGwmj91QVQ1f24+de2N0nzWzVmNdKsO9QYwNyrBqj83nQW9WdDbtVlqRJKaL5SnLOjNgt6+b1T7Eyu/mq70yUoe5BLT4pgWx7S4vrbiUY96lNKUVM/zla98pXqdtSpELhWSRC4hl5BLyCWlGVFlUergudag3ZI9sf2yylnTN6x6rfKWACpJt8pacidWXi1n5ctNRy4hl5BLwwgqIpd8pNXkv2G7nNvOW/1Zav9l1af0xSl5kEvIJeQScqmvzfjWb/3WlCalWt7//u//rlZX7YqQS4VEkUvIJeQScklpRpBLQ0qhcEEuxaMbcuVRGEFiRU6t94sMh2v4BN+P842+tyJaYvuRO92pVrnp/WZB7z7ZZB3n+BpPrLlkCepSAR2TQNZ2rXLIpSEB5BJyCbmEXOob4z/60Y9WbgGq5/nyl79cvc5aFSKXCkkil5BLyCXkktKMIJeQS5b0sSRQrXQil4hc6pNJ09PbIm/BMyQj0+KYFmdFGhG5NDl+UtdgUtdU8vxTx6lqOdZcYs2l7QuZ8mlULlxLKvfzci3o/ZjHPEa5Baie50tf+lL1OmtViFwqJIlcQi6ldtqp+WOdfPh9bj6rnvASsQY/sfpyv7e2b13C1pNHq3ytdOQScgm5xILe7irgbXEs6G1FFllRi6XThUPpY0WUMi2ueyTAgt6Tiyynjm+3b+dtcSzoPRSsuRz8Obdccunbvu3bat0mJNXzX//1X0n5lzIzcqmQNnIJuZTemaa9NS5XGlkSKDW9VEIhl/rffhM2RaqMSn3yq+bPzafehJTms27OaqRbdag3gKkRR6qEsrYvTyNjWtzg8sud/mVO/xtNNwynHxZ/Dqcx+u0kfm/tfy4XIpeIXAolltrPWf2flV44tB8Xtx5OIZeQS/FIG94W5y6kaGTTGolcQi5Nt7bIpcIeCLmEXEIuMS1OaUZSB8NqflUCpQ7y1XpVSRR7Uh7bL/VJuiWAStKtspbciZVXy1n5ctOZFse0uBSZhlxqS6LJc2daHE+uM2W1IaVthBWBFKvfKpfbXlvtOXIpbxqc+pAxHI/GylnjVrUc0+KYFjfv0+J22GEH5Ragep4HHnigep21KkQuFZJELiGXrE66NF0dVOTmC8vFPpfmS603dmlaTxLDcqn5C5uEaHFVFlkSqHRwniuN1JsGVTaV5su9aUspZ+W15E7pjaNVf246cgm5hFzibXHuHEiVT7X6Aaufs/pLK71WP26NH4hcInKJyKX5XnPp27/922s1N0n1/Od//mdS/qXMjFwqpI1cQi6VyiOrfK40Sp32ZuVHLpU1FqmDYTW/KotSB/NqvaokCrevlovls8RPjXSrDkvuIJe0t7B5TqkRMrnleFucdlw8p9TjsliOt8VZbUhpGxFrV63tWuVy22tVPqX2R+pDlbJeero0com3xfG2uEx5tH107sQW/F4j0+Ie+9jH1m52pPq++MUvSvmWIxNyqZA6cgm5ZMmh0nTk0uRFag32wks6NX9hkxAtrsoia9CtDrJVOVR6M6BKotybFeRSPLrAklusuaRKFDVf3lvTqi3gHayNFZM+qd9bkg65xLS43Hbe6s9S+ymrvtr9tzV+IHKJyCUilzLl0xqRSzvttFPtZkeq7wtf+IKUbzkyIZcKqSOXkEul8sgqj1xCLvU1U6mDczV/bj71JqQ0n/Vkvka6VYcld0qjEqz6c9OZFse0ONemqNJIzRdKKhb0ZkFvSwap/Yz6UKVwSD9VHLlE5BKRS5nyaE4il3beeefazY5U33333SflW45MyKVC6sgl5JIlh0rTkUvIJeTSIgFL+NRMt+qy5A5ySYsIsiJnYum55ZgWpx0XpsU5Aeen9mkLdYdCzWpDStuIWESotV2rXG6kaWkkrCWj1PTCof24OHIJuYRcQi71tSePe9zjajU3SfV8/vOfT8q/lJmRS4W0kUvIpVJ5ZJVHLiGXkEvIJUcgvGG05BbT4lSJouZjWpw7D9VIJiKXiFyyZBCRS3lvj4utkcnb4kIZttCo09bi+bqn/oXSafqz35fRfdJC92e7nsnt+/y1y0Xri62ZZEUmWelrZFrc4x//+EKTkFf8c5/7XF7BJSiFXCqEjFxCLllyqDQduYRcQi4hl5BL01KDyKVu2cWaS0MuYdTRtGxdPxa2sYgjIpcmI7diskid5hz2Zcgl5JI7JxbG4iUWKRUKlmmJ1F0PcimUZjGJhFzKEwK77rprXsHCUvfcc09hDbMrjlwqZItcQi6VyiOrPHIJuYRcQi4hl5BL61nQeySN+iPI1q1DLjEtrnBwPyrOtDimxTEtjmlxfa3Jd3zHd9RpbBJr+Y//+I/EEkuXHblUyBq5hFyy5FBpOnIJuYRcQi4hl5BLyCVt+iJyyZ6OF0YghTIqlk7kkjYeUd8iF5veFo771HEg0+KYFmdN7yNyqfDGPyi+22671a1QrO3uu+8Wcy59NuRSIXPkEnKpVB5Z5dVBRW4+axATXiLWYChWX+731vatS9h68miVr5UeC/+P1a/mT51WoObPzadOjyjNZz2Zr5Fu1WGteVS6WK9Vf246b4vjbXGu3dHXTspba4o1l2zJU9pGWJIoVr9VDrk0JGCNH1SJpI6zrPFVqjyKjQtzx51huVhUj1X/Ynq4HhHT4tS1lNR8TIurNYrvrmf33Xef7QYitd91113Lsl1lo8glhVJPHuQScknvRPvDi2P15EojdZCiDnpK8yGXhk/d1T/kUv9aH5b4qZFu1WHJndIbR6v+3HTkEnIJueTED2supcqnUDrlfo6Vs75X09V+1sqHXGJaHNPimBbX10484QlPsJqRmaT/+7//+0zqrVEpcqmQInIJuYRcmlyQMlciWYM4q97YpazWW9gUmMVVWZQ6eFYjjKx6rUii3JuIWL3W9tRpGpYAKkm3ylpyB7mkTmPS8slvv1ufGmmTt3018mfdaH+mprWFayilfo78Thb0Zs0lq+0K23O1va3VD6T2R2EHm9qfmh10JIM1fiByqftNavq4mMil2hFITIvLvdrzyu2xxx55BQtL3XnnnYU1zK44cqmQLXIJuaR3okQuucstdTAWXqLWYK80f2GTEC2eOhhW8yOXJiOcrJuqlHQrL3LJWlhZkzaesyxrvIQZ/Ztabjq/tp/Z20EuDdrF+DQ5jb96nrDmkj0dD7mk9fTWeCN1PFMrojxWT+q0udSIeabFLY5hbSnkx/yhQJv8bNcTvinPl+/+HrmkXdu1cj3xiU+sVVVSPZ/97GeT8i9lZuRSIW3kEnIJuUTkktKMqLLIeqKrPsEtlU5qeTUCKXYzE/u96pN0SwCVpFtlkUvIJXf+mtIDuYRcCoRorbbFkkSp095KI02t9ry0/0rtH5W+uS8PcolpcUyLY1pcXxux5557ljYzWeXvuOOOrHJLUQi5VEgZuYRcQi4hl5RmBLk0pGRJI1VCWTdnNdKtOpBLyCXkUnxhcBb0tiOISqfOIpeU3jc/D3IJuYRcQi71tSBPetKT8huYgpKf+cxnCkrPtihyqZAvcgm5hFxCLinNCHIJuRSLcMm9wbTklrxGUbDWz3g/Y2sAidPRzIiewultav32dDZtWpZdT0S2EblE5BKRS53dpBohq0Y8KX1xSh7kEnIJuYRc6mszvuu7viulSamW99/+7d+q1VW7IuRSIVHkEnIJuYRcUpoR5BJyCbnULXFyJVFuOdZcSpNpuVKNyCUil8LIKlUSWf2lla70yUoe5BJyCbmEXOprK5785CcrTUn1PJ/+9Ker11mrQuRSIUnkEnIJuYRcUpqR1MGwmj/1ya+aPzdfbM2O8CajNJ81Za1GulWHFTmUG5GkSihr+0QuqRJFzZf6FrpRfiKXiFwiconIpQcJsKB3KKt4WxwLeg/PiVwO/po6d/N5ylC8ep7v+Z7vqV6nUuG//uu/KtmWJQ9yqRA7cgm5hFxCLinNiCqLrCe9pU9+c6VRbL9USYRcii/8nCuhkEu1pFCtepgW565zf14SuUTkktWfqf2R2u8pfXFKHiKXiFwiconIpb42Y6+99kppUqrlvf3226vVVbsi5FIhUeQScgm5hFxSmhHk0pBSKFIsaRWTV1ZUUY10qw5L7uRKIyKXNNnDtLhumRWbxpY/vS0vYgu5hFxCLk2ODohcInJp+/bJaK3ciJ3a5aL1LSCX+sb43/u936vcAlTP8y//8i/V66xVIXKpkCRyCbmEXEIuKc0Icgm5pEojNZ8lt5gWp0kqL0Fy5YspuZgWN7j447JJO04m5/HUs6EMW9xebK2v9WPZHe7b4raGZRdF8aRoCwVyrB5LVE/X07+dUukeSh9L+udGqCKXkEuOQHyczLS42pLIs47Vm/r9duRS7xD/KU95inILUD3PJz/5yep11qoQuVRIErmEXEIuIZeUZgS5hFxSpZGaD7mkSQlbGtWqh2lxQ6kTyh3rs8YfuWRHfqoSC7mk9NrTaySFpWLT5tTvcyOZYuXC8ajf39RxqlouNmVM3x5yCbm0utdc2nvvvbXGpHKu2267rXKN9apDLhWyRC4hl/ROtH/ueqyeWCcffp+bz6rHGkypg6jYdqzvre1bl7C1ZoJVvlY6cgm5pEojNR9ySZMSyCUvd3Knt+WW81E/yCVV+qjXPpFLw3Nr1n/W+KF0/INcQi4hl1a3XNpnn31m3Qx11n/rrbcuy3aVjSKXFEo9eZBLyCXkEpFLSjOCXEIupd445sojaztTssVPJxpFnIzLB9+vD954ZUkbPdIkTxKp9Vv7ybS4fv42v9jaT8ilVKlkXbvq9DVru77PiuWLpYff536OlbO+V9OVPlnJg1xiQW8W9GbNpb62Yt9991Wakup5brnllup11qoQuVRIErmEXEIuIZeUZgS5hFxKvXFELvVHzCCXWNDbtSrT1wlrLiGXlF7ZzoNcQi4hl5BLfS3F93//99sNyQxy/NM//dMMaq1TJXKpkCNyCbmEXEIuKc0Icgm5hFyKLaxM5NJAksQixWILgoeRZuO1jtKkkyXpiFxiQW8W9O7u5ZkWN7wHyB8HMy2OaXGre1rcU5/6VOUWoHqeT3ziE9XrrFUhcqmQJHIJuZTfqWprMPlT1FqoMTdfWC72uTRfar2xS9N6khiWS81f2CREiyOXkEvIJeSSuwrW1Xp7HHJp0KgQuTS90DeRS3V6cmv8gFxCLsXfzubH+KFAm/yMXFrdculpT3tancYmsZaPf/zjiSWWLjtyqZA1cgm5hFwicklpRpBLyCXkEnIJueREiDZtLTYt1IqkUut3+Ravycn1oaa/704PJY5fv8vvgyV5YunWlFgW9GZB7/a4I/WFMNa4NfawMizH2+IWo7amJRFyyZ1H2xci0+pG38fl3KS4tCTcuZvPU4bi1fM8/elPr16nUuHNN988ke2ciy9vtm67evzdcUce2px6/FHjz3sffNxUtVvOPqU5cP/6a0Yhl5Qj2JMHuYRcsjrp0vRYJx9+n5vPqic8/a23m8Tqy/3e2r51CVtPHq3ytdKRS8gl5BJyCbmEXBqcA8Hi+NOSanJqY+rC21b9vl9LrTcsl/s5Vs76Xk2v1W9b4wcil4hcInIpc02mNSKXfvAHf7BWc5NUzz/8wz9M5D9yw6Zm25aNEzLpjJOObY4+/JDBd04uzUomhTuOXEo6lNOZkUvIpVJ5ZJXPlUaWBEpNL5VQyKW0J62qjIrlK/1eLZ+7FodarvQJvXWT1ZdulVWjC3JvHK36c9N5W1y4JlHemk9WBM04vdY0uHBNJqbFDboVpsXZsipsg5BL2uAfucSC3izonSmPto/OnTUeubTffvtpjUnlXDfddFNvjU427fcDe42jl5BLlQ/ALKtDLiGXLDlUmo5cmryCrcFeeL2n5p9Ve6HKotQns6oEsuq1ZE+svFXOkkNWvVZ5SwCVpFtlLblTOuXFqj83HbmEXOqSMjFZJku0kfzy+cMpYvHPmtyLRf4hl5BLs+q3rfEDkUtELhG5lCmf1kjk0v777z+r5qe33htvvDGafudd9zaHHXN6E0YutQvMMoqJyKXCUwK5hFwqlUdWeeQScqmvmUIu+bVQ6v+LXBoxDSNvAolgTfez5IQqDXLX4LG276WHna/7LWzm/hO5NIowmly3aFE2IZdyoxutCKTUaW+WzLceBqjpqQ87wj4w9WFN7lAfuUTkEpFLmfJoTiKXnvGMZ+Q2L0XlPvaxj3WW92srhWsutTP79Zluu25r0T7ECiOXCrEil5BLlhwqTUcuIZeQS4sELOFTM92qy4ocInKprjRALgWyj2lxI2kVrk+kLRjOgt7xiKeYtFLlkRXRilwaEkhdniAcT8bGh7F61fGoVW8sWketfzFf+Ca1mMwKF3cO88XqWRgzthbcVheWVvMtLLCg9+AcX+PT4n74h3+40CTkFf+7v/u73oIHHXFi87xnHzCxqHe7wCynySGX8o7puBRyCbmU3pn2PwlSBw9h558roax6wkvEGgzF6sv93tq+dQlbTx6t8rXSU5+0qvmJXKofseSOueOKXCJyyZ8L7t/syCYilwbNKNPi9Olrqrj2/ZPVVrHmUl5Pbo0fmBbHtDimxWVGNq2RaXEHHHBAXuNSWOqjH/1obw0nb7xokH7+phM68yGXCg/ALIsjl5BLyKWhLFMlUOpgTK03dp1bg8NZtg/tulVZFN4sWPuHXEIupUZIseYSay6lyLJcqcaaS7pMYlrcZE9n9ZdWutVvqunW+CF1PGM9nFPT1cgk/ztTx6lqudiUMX17RC5NR1SFUVrdn2uXi9YXizyypr1Z6WtELj3zmc9Um5Oq+T7ykY9M1Nf1tjg/Ne6yK68d5PVvjnPi6eZbPtVcf8WFVfdpfP/yYAPQfWc4k82tvUqRS8glvRNNi1iyBg9h5x8bDFj51PTSfLHy1vfIpf52E7mEXEIuZa6FNF47Spu+lytZ1hG5NGjEiFzSZRORS/1vV0UuTd66xcahqiRSI+bDfMilxamN1rS72DS52pLImrYX2x5yKc9RHHjggXkFC0vdcMMNU3Lp1tvvGH/XXnPphhtvaTactnki/6zWW3IbYVpc4cFFLiGXkEtELinNSOpgWM2PXEIuIZeQS0N549ca6uaRK8fyy8UW8NbWRMpdY8utpTQps7rlIWsuseaS1Xdbz9+JXGJaHNPi5nta3LOe9SyrGZlJ+oc//OGZ1FujUuRSIUXkEnIJuYRcUpoRVRb5utT8yCXkEnIJuYRcaosS5JK1BlPYz6hrMsX6J2sB71r9VGr/qPTNfXmQS7wtjrfFZcqjOZkW96M/+qOlzUxW+b/5m7/JKrcUhZBLhZSRS8gl5BJySWlGVFmUOniuNWi3bg5q3VRYNzGxmx7rZsi6mcpJt8qoU1dy11Ox6s9NZ80l1lxqyyh/fsYilIhcmhZXcaE7Ga1ltSGpYthqP9XtWe2p2g7n9gtWP2f1l1a60icreZBLyCXkEnKpr6046KCDlKakep7rr7++ep21KkQuFZJELiGXkEvIJaUZSR0Mq/mRS0Qupd6gIpeQS8glJ4zWj98IGa4HtSjcwvZl8tyZFsfIJXdu5T6ssKSTmq70yUoe5BJyCbmEXOprK37s4IOVpqR6nr++7rrqddaqELlUSBK5hFxCLiGXlGZElUWpg2fkEnIJucS0uLYsqh+BlMeXt8XpC3jnRjdaEUixtsEqR+TSkAByCbmEXEIu9Y3xf/zHf1y5Baie56/+6q+q11mrQuRSIUnkEnIJuYRcUpoR5NKQkjWtQ72pUad/lOSzylrT0lKlT+oNprV9eUHk0VvT/FvNxlEbwffr/efxW9b6pYM13cr6vdZ0LLV+qx4vQex8eZKFt8WFayBpayLJ5+9oIfPF80mrn8glFvS2+m7kEnIJuYRc6msnDjnkEKsZmUn6tddeO5N6a1SKXCqkiFxCLiGXkEtKM4JcQi7FZEiuhEIudb8FLF0S1aonIp/8W9xisi43PZAqvC0u9nY63hZnSX01PRZZa02DqxVhmxrZq/TNfXmQS8gl5BJyqa+NePZP/ERpM5NV/kN/+ZdZ5ZaiEHKpkDJyCbmEXEIuKc0Icgm5hFyK3eTnyR0il7plFtPiiFyyoi5jEaIxSZQqj6z8liSy+ksrXemTlTzIJeQScgm51NdWPOfZz1aakup5rvnQh6rXWatC5FIhSeQScgm5hFxSmpHUwbCav9YT4dybAatc6c2KVd66iSpJt8pakUO5EUmqhLK2L08rYlrc4BJOj3gSp8nlRiZZkU5ELnUeNzfdbXg8J9djm74eWNA71kbF5BORS5O9fUw+qd+H+dTPsXzheNTvbeo4VS0XEy/69kb3EAv9Emv79mE+X+/CVP5YPQutMrE6wu/7Py/ug1XO/6Zw3yY/hwzVz2q+cH9j5aL1LSCX+sb4P/mTP6ncAlTP8xd/8RfV66xVIXKpkCRyCbmkd6JW59mdHuvkw+9z81n1hJeINfiJ1Zf7vbV96xK2njxa5Wulq7IoNniP7QdyiQW9UyUWb4vjbXFD+aLJMTVfKEVZ0JsFva3+LLX/suqr1V9b4xUrHbmkjneRS7UlkSW/kEt1W4lDDz20boVibVdffbWYc+mzIZcKmSOXkEvIJSKXlGYEuTSkZK3tEd48ELkUv0ElcilvOt20LKlVD2sutaUVcgm5ZMkg5NLk+Ml6eJcamRR76GiNW9VyRC61o6n6I6MWo62IXHLnRxMHjQAAIABJREFUV65Ui8mzczefpwzFq+d57mGHVa9TqfCDV12lZFuWPMilQuzIJeSS1UmXpsc6+diTM2vwYZVLfSKnPqFLrTd2aaZGIqXmL2wSosWRS8gldbqbmg+5VEsK1aoHuYRcmlxU3Jpamxp1aMl5dXsxiW/J/JgsSp0enSudrHK1+29r/FA6/lFlkjoOtMZ/6ngUuRSXRlZk0PTUPabFDWTS9lE0m59mN/pX59k/DXG55NJPPfe5tZsdqb4//+AHpXzLkQm5VEgduYRcUjvr3HzqoCI3nyqbSvMhl4Y3HeqfKqNSn/yq+XPzqTcZpfnUm6iSfFZZS+6U3jha9eemMy2OaXFtCRSTmdbb5+xysbe3aWsiyWuGBdP7WHPJjphCLmk9MXKJBb1Z0Js1l/pai+f91E9pjUnlXB/48z+vXGO96pBLhSyRS8ilXGmklsuVRrlPxFIlUOmTO2t74SVqDfZK8xc2CdHiqiwKB/3W/qgSyKrXkj2x8la50ifhVnlLAJWkW2UtuYNc0iKCLElhRXLlrgm0WK+2n9nbYUHvQfMRnyan8VfPE+QScsnqN9V0a7xROv7JHafFyhG5FMowFvQOI4NYc0m9+rV8z3/+87WMlXO9//3vr1xjveqQS4UskUvIJVUS5eZDLk1epNZgD7k0JFAqndTyyCX7Ri6UTKqUsvLlphO5ROTSUPawoHcoGL2Ymv5em+4WCjRLUJcK6FD6q9uzysXSaz1kSH3YEfbrqQ9rcof61ngDuTQ5VSl9nMuC3rlrD9Uux9vi8lqJF77gBXkFC0u9933vK6xhdsWRS4VskUvIpfTOVH2LRvdCj+qTLjVfKK9in0vzpdYbuzStwR5yCbnUlmvqzVZXPqusJXdKbxyt+nPTkUvIJeSSk8LrxxI+JoUWv0cutfvW3IcKqiSy5JGVXji0Hxe3xhvIJeRSfM0gP9ZnzSV3Qa3VNZcOf+ELazU3SfVc+d73JuVfyszIpULayCXkEnKJt8UpzUjqYFjNr0YYpT4pVuvNvclQyzEtjrfFMS1utEbRupHg8NPsIpFHsYgkNVIp5J1fjjWXLEFdKqDDdl3dnlUulh7rR9T2HLmU93a48OEc0+Kmp78NBMYC0+KsBbKZFqeM2PU8P3344Xrmijn/7MorK9ZWtyrkUiFP5BJyCbmEXFKaEVUWWRKodHCeK41q3VSENz9Wvcgl5BJyCbnk2onYeTAdwactGE7kUrxtQS4NCRC5xILeLOjNgt59Y/wjfvqnlVuA6nmu+LM/q15nrQqRS4UkkUvIJeQScklpRpBLQ0rIpem1bnKjF5gWpy0EbUfe1KonsoYRC3oPrn0W9NbXZ7Ou7VLpHpNHVr3WwwA13XqIYvWXVrrSJyt5kEvIJeQScqmvrfjZn/kZpSmpnudP/vRPq9dZq0LkUiFJ5BJyCbmEXFKakdTBsJpfjURKHcyr9aZOh0AuIZdyXzFfq9y0bEIuDeVPtxyz5VysHNPi1GlqYT7k0vDcif2p/aPSN/flQS4hl5BLyKW+NuJFP/uzpc1MVvn3/MmfZJVbikLIpULKyCXkEnIJuaQ0I6mDYTW/KoGQS/5GV//XujFUbwBzbxyt+nPTWdCbBb37ZBJrLrWn4IXtxeS5M31tawt/12pbwnbdqteKTLLS1cgk66FDan8U9rFq/6j0zcilxel/6lpOsXV90sfDvC2u9lvfWHOp9KpPK//iF70orUCl3O9+z3sq1VS/GuRSIVPkEnIpvTPlbXFdl531hNCXUfPl5i9sEqo9aVUHz8glXRa5g6PefLl8Vl5L7uROdwtv7nPrkSN9goWix9sPF5D2n0f/WhEtsd8h71ckksaSddZ+EbmUFqmVzjNc88j6rO2Pfj6x5pLVdllSKpaOXJrs4nlbHG+L421xmZFNC5PnTq5k8/zP3XzerIbvvfUe+eIXL8t2t7373cuyXWWjyCWFUk8e5BJyCblE5JLSjKiyyHqiqz7BLZVOannrCXXpk3CrvHUTVZJulUUuRdYYmpGEqiWlkEuazPGckEttKU3kUlvS58omq5+z+ksrXemTlTzWwyzkEnIJuTTfcunoo45SmpLqeS67/PLqddaqELlUSBK5hFxCLiGXlGYkdTCs5lclUOpgXq0XuZQWDeWOgyqlrHy56UyLY1pc13nImkvuWu4+NxZFM3IJubTY4yOXkEvIpfmWSz939NHKLUD1PH982WXV66xVIXKpkCRyCbmEXEIuKc2IKossCUTk0uymwbVvmpgW96AEY1rc4HJTp2NFI3x4W9yAI2+L00W0JY5LIzrDfiaM0oylx/qn1IcMVj9n9ZdWutInK3mIXGJBbxb0zpRH20fnzmj620L4eY1Mizvm535OaUqq57n0j/+4ep21KkQuFZJELiGXkEvIJaUZSR0Mq/nVCKPUwbxab+pNhXUTo97UWFPWaqRbdag3gGE9ajkrX246kUtELhG5NIxSWhSH3QtxLwoxbaHuUKBZbUgs3bq2kUv9b5NT+mQlD3IJuYRcQi71tRUvOeYYpSmpnuddl15avc5aFSKXCkkil5BLyCXkktKMqLLIkkDhtlQJZNVrSaJaT6yRS0yLq7V2UnFE0Xhh8rQ1iJK3S+QSkUvBOmSWdEIu9cuj1P5U6aO78iCXkEvIJeRSX/tx7Etektu8FJW75F3vKio/y8LIJYHunXfd2xx2zOnNPnvt2WzbsnGiBHIJuYRcQi4Jzcj4CbmS1+VRB8/IpdlNk6t1A0jkUp2Fv2tJKRb0TpNpLOjNgt7Ww4fU9NSHHepDFbV/VfMhl5BLyCXkUl978bKXvlRtTqrme8c731m1vpqVIZcEmudcPFyRfeu2q5urLj2r2WP3XcalkEvIJeQSckloRmRZZA261UF2qXRSy6feVBC5RORSLUmUHEE0jlRiWpxrR1RppOYLj0d8jaUh/3DKmbUd9Xj7Rbmt+pkWF18DKuyHctt5qz9T+xm131P64pQ8yCXkEnIJudTXZhz3spelNCnV8m59xzuq1VW7IuSSQPTIDZuaV7/8iObNb7+i2e8H9mpOPX7xtYPIJeQScgm5JDQjyKURJOQScgm5NJIrsQXT1Wl0o3zTUqc7UsySN7wtjrfFWWs5xWRRqnzKlU5WOaUvTsmDXEIuIZeQS31txs8fd1xKk1It7x9t3VqtrtoVIZcMom5K3LGvfmNz/RUXNpddeW3zlne+b/B//4dcQi4hl5BLSsOsTnNLHTynPvlV8+fmU28ySvNZU9ZqpFt1qOuiMC2OaXGDSJ1SmRSWRy4Nmsvp61CLjCJyicglq+9GLiGXkEvIpb524hd+/uetZmQm6X/4R380k3prVIpcMij6KXE+Wmnvg4+bmBqHXEIuIZeQS0pjjFwaUiJyicglIpeIXBpKocn10qzIKqbF2e2nJcStyCQrPfbwQ31YEPaV6kMMtZzSF6fkQS4hl5BLyKW+NuMVL395SpNSLe/b3v72anXVrgi5ZBA96IgTm0ve/LrxOksnb7yo2W3XncdT45BLyCXkEnJJaZiRS8il2M1x7IbQiozKTZ+6iQ8iYsb7GYu0ia5dNBmhpMuAtAWmrUgwS1KwoHca73SeYeSQ9VnbH/18InLJkkyhJLKkf6o8svLHJJX1vZqu9MlKHuQScgm5hFzqayt+8RWvUJqS6nn+4G1vq15nrQqRSz0kb7jxlmbDaZuncuy84w7jqXHIJeQScgm5pDTIyCXkEnKpWyKo0qBWxBNySZM5nhNyibfFWbIoNd2SRFZ/aaUrfbKSB7mEXEIuIZf62opX/uIvKk1J9Txv/YM/qF5nrQqRSz0k3ZS4u++5rzl/0wkTudzUuC1nn9IcuP++DXIJuYRcQi4pDXLqYFjNnzqtQM2fm0+9ySjNZz2Zr5Fu1WFFDuVGJKkSytq+LGOIXBpcwrkSxZRj6gLdqWsyseZS53HjbXHxtZRi7S6RS929OHIJuYRcQi71jfE3vPKVyi1A9Txb3vrW6nXWqhC51EPSSaQzTjq2OfrwQyZyualx7s9JJ+QScgm5hFxSGmRVFllPdMNtqRLIqteSPbHyVjnrZsaq1ypvCaCSdKusJXeQS1qEjClnItPwcssRuaQdFyKXpteF8uIqfm37daS6p4habYoqlkvbxbDdRS4hlxyBUKZZ49uYeLHKLaaP7iEW+iXW9u3DfL7cwlT+WD0LrTKxOsLv+z8v7oNVzv+mcN8mP4cM1c9qvnB/Y+Wi9S0gl/rG+K/asEG5Baie5y1btlSvs1aFyKVCksgl5JLeiVqdZ3e6P0XD7YTf5+az6gkvkdjgw8oX2471vVpv7FK2njwWNgFyceTSEJV1ExO76bFuhtSbtpR8Vl7kUp23wOVKotxyyCXk0rAtWj9ujxYXFw/P6clFx5FLk+142C6rn2P5rO/VdLljNjJa44dYuvq9NZ6yZE9s3GeVs8atVr0xwWLVO52OXKotiSz5hVyq1ToM6/ml44+vW6FY2+9ffLGYc+mzIZcKmSOXkEvpnWmaZIp18uH3ufmsesJLxBoMxerL/d7avnUJW4NDq3ytdOTS5E2JGvFU+oTeEkR96VZZ5BJyyZ3VpuRiWtzg4g8FDm+Li09fU9uWULZYbZbansbqDb/P/RwrZ32vptfqt63xgyqR1HGWNb6yHjKmpsfGr7HxZJifyKV2NFV/ZNRitBWRS+78ypVqMXl27ubzal32SfX88i/9UlL+Wpl/7/d/v1ZV1etBLhUiRS4hl5BLTItTmhHkEnIpdcqLdYOZm87b4rqjU1hzqVsW5nKJyyTtbW7ymmHB2lOsucSaS0qfrORBLrHmEmsuMS2ur6044Zd/WWlKque56Pd+r3qdtSpELhWSRC4hl5BLyCWlGUEuIZeQS7wtzl0F62pFMrGg96BRmZZQmrxiWlxcQoURQmqkaSyyKNb/pX5P5NKk7LEijKx0Ipdc5JG1dtJkujXtbDGdNZfc+bc9tmbT6HudZ/9xWq7IpV959eRLv5T7gRp5fvfNw/Wf/Z97CdnWbVePPx935KHNqccfNf582ZXXNmdecMn4823Xba2xG511IJcK0SKXkEvIJeSS0owgl5BLyCXkEnJpuNbRUApNrmdkRUiZ0w/92/bE+pFLyCWr7yZyicglIpeIXOprJ078lVdbzchM0i/83TdP1Hvkhk3Nti0bx9+1X0p25133Nocdc3pz1aVnNXvsvkvjRNRN/3j7RP6aO4lcKqSJXEIuIZeQS0ozglxCLiGXkEvIJeTS4BwYi7BwwfD+a8R6IYJVL2suKb31Yh7kEnIJuYRc6ms1TjrxxLRGpVLuCy68sLcmJ5v2+4G9BtFLoUwKZVOlXRpXg1wqJIpcQi4hl5BLSjOCXEIuIZeQS8gl5BJyabHHZFrc5PiJBb1jMiu2WHZs6tni9/FpV5Nl1elZar7YAt5+Gp5Pz13Yuna5aH2xaW3bR/xy09fItLiTTzpJuQWonuf8Cy6I1unl0RknHdscffghzckbh1Pozt+0OIXPRTZtOfuU5sD9962+b8ilQqTIJeQScgm5pDQjyCXkEnIJuYRcQi4hl5BLnoAqk8L8sXK8LS6UUwsPrqk0/G5aniCX2lyQS8pIfjrPKb96cl7BwlKbzzu/swYnjdxfe80lF8W02647TcklL58Kd2WqOHKpkChyCbmEXEIuKc0Icgm5hFxCLiGXkEvIJeQScsmKOJqWRI7Z9GLZVj3IpVCuxSQSckkZyU/nec0pv5pXsLCUtYD5QUec2Dzv2QcMpsURuVQIe6mLI5eQS8gl5JLS7iCXkEvIJeQScgm5hFxCLiGXLCmEXLKm3zEtbnKqpCVblHF6Tp5TX/OanGLFZc4599zeOtpCiTWXinEvbQXIJeQScgm5pLQ6yCXkEnIJuYRcQi4hl5BLyCXkEmsuhetolX1eLrl02qmnKrcA1fOcfc45E3V2vS3OT43jbXHV8c+2QuQScgm5hFxSWhnkEnIJuYRcQi4hl5BLyCXkEnIJuVQmk8LIreWSS689/TTlFqB6njeddfaUXLr19jvG37XXXHJfXnbltc2ZF1wyTr/tuq3V98lXyJpLhWiRS8gl5BJySWlGkEvIJeQScgm5hFxCLiGXkEvIJeTS2pBLv/ba05VbgOp5fudNZ1Wvs1aFyKVCksgl5BJyCbmkNCPIJeQScgm5hFxCLiGXkEvIJeQScmltyKXX/dprlVuA6nne+Dtvql5nrQqRS4UkkUvIJeQScklpRpBLyCXkEnIJuYRcQi4hl5BLyCXk0tqQS2e8/nXKLUD1PGe+4Y3V66xVIXKpkCRyCbmEXEIuKc0Icgm5hFxCLiGXkEvIJeQScgm5hFxaG3Lp1894vXILUD3Pb5/5hup11qoQuVRIErmEXEIuIZeUZgS5hFxCLiGXkEvIJeQScgm5hFxCLq0NufQbv36GcgtQPc9v/faZ1eusVSFyqZAkcgm5hFxCLinNCHIJuYRcQi4hl5BLyCXkEnIJuYRcWhtyaeNv/LpyC1A9z6bf+u3qddaqELlUSBK5hFxCLiGXlGYEuYRcQi4hl5BLyCXkEnIJuYRcQi6tDbm06Tc3KrcA1fNs/M1N1eusVSFyqZAkcgm5hFxCLinNCHIJuYRcQi4hl5BLyCXkEnIJuYRcWhty6bc2/aZyC1A9z29sXJ7tKj8EuaRQ6smDXEIuIZeQS0ozglxCLiGXkEvIJeQScgm5hFxCLiGX1oZc+u3fWp4Iol//jeWJmJLudx68Me6+M1RKk6dBLiGXkEvIJaUpRC4hl5BLyCXkEnIJuYRcQi4hl5BLa0MunXnm8qx9dMYZy7PWk3S/g1xSMMXzIJeQS8gl5JLSiiCXkEvIJeQScgm5hFxCLiGXkEvIpbUhl974huV5a9vrXr88b6mT7neQSwom5NL2hW6JFPt+YZQ/FC+x732+0nS1npgQsrbfLjdrqRQGFYbbswYnsfJWuVi6Wi61vJU/vPpSgy1T85e1CPHSyCXkEnIJuYRcQi4hl5BL6ngqdRxojRPVcWu4fzXGzK7O6XpG9xYLXjbF/g1FRJgvVs/CeJvh+N7Lne3b0yRH7D7Dqj/cHnIpjfs038ny524+b1bD9956f+eNb1iW7f7a616/LNtVNsqaSwqlnjxELhG5pHbWuflinbw1OEEuDQkhlyYbsJjkCr/PzWfV49NL84X1zOKzVef69esHcK18YbpazsqXmx6WW79uKH3WBb8n/H78eZR/qp4Ij1r5Yr/Xqt9O75ZedrnJ4x/NP+IS5ZmbHh4vX0/i9zHp6X9PLof160fn1bohp/hnjb+1n4vXWbi9mNRcP752w31b3Jb/DZO/JXbNx+qZVRvhW/fU+q1ysfTw+9zPsXLW92p64dB+XNwaP8TS1e9zx2mWdFLTY+PS2Lgz9YGxPe5FLlnSJJZeu1y0vjC4oNbnIAgh9/f4c2y55NKb3vQ7tZqbpHpe+9pfS8q/lJmRS4W0kUvIJbvztJ7I9KcjlyYvUmuwF17SqfkLm4RocSKXhmiQS+4mW5NSVr7cdORSKIU0uZErWby0Qy7FZJPGH7lkt5+qZEIuaT29NX5QJVI4jiv9rMojVRLlRjylRPu7fSFyyTGYFGq5UqV2OeSS1iaEuc4+6015BQtLnXb6awtrmF1x5FIhW+QScgm5xJpLSjOCXEIuMS2OaXEDwZobqRREmMVkV+r3lrTJlWpELqVHNaa2EZYkiskmq1wsPfw+93OsnPW9mq70yUoe5FL/w0/k0qIwY1rc6FxRI5vWSOTSOWefpTQl1fOcetrp1eusVSFyqZAkcgm5hFxCLinNCHIJuZR645gbmWRth8glIpfc1ahKIzVfeN4hl5BLlgxSp1+HfWxqf6r00V15kEvIJXUNWeTSfMqlc889J7d5KSr3mtecWlR+loWRS4V0kUvIJeQScklpRlIHw2r+1MG5mj83X1gu9rk0nzr9oySfVdaSP/F1WZgWN4jg8ZE44hpOrLk0uTZWaoRSviQS15YKjiNyCbmEXJocHeSuseRrSZ2+FitnjVvVckQuEbk09WKnOYtc2rz5XOUWoHqeU055TfU6a1WIXCokiVxCLlmddGm6OqjIzReWi30uzZdab+zStJ4khuVS8xc2CdHiqiyyBuPqE1xVDsW2p5ZXJVG4HbWcJacsAVSSbpVFLvVLB2u6FXIpkEXhtDfrc+LC3cilUOqyoHfqtDm1v7Dad6ufs/pLK71WP26NH1hzafKNXenjXRb0rr12kj8GqQuBs+ZSXqtx/nmb8woWljr5V08prGF2xZFLhWyRS8il9M40bYHvXGlU6wmZJWtKB1eWdLK2b13C1uDQKl8rPXUwrOZXJVDqYF6t17qJsOSQdbNilbcEUEm6VRa5hFxy568p0WqtscSaS4PmwpJk66beTsfb4sK2LCb7rfbWaq/V9NT+SH2oUqu/VsclpeOf3HEaC3qH4+iYpFoYLyJuTVuzpEw41relkN/HcN9Y0NtdXza/SXFp5V+ut8VdcMH5tZsdqb6TTjpZyrccmZBLhdSRS8gl5BLT4pRmRJVF1qBbHWSrcqj0ZgC5lD71RZVSVr7cdNZcYs0lRdL488SSOfHpebG3ww35L06b421xVhRfaoSRJcaRS0qvvTjlKZYbuUTkUlxKIZfcdROdNrdGFvS+8MILtMakcq4TTzypco31qkMuFbJELiGXkEvIJaUZQS4NKVlP0GM3PdbNkHUzlZNulbHkTqy8Ws7Kl5uOXEIuIZdcW8S0uFRppT6MsB46WA9RrP7SSlf6ZCWPFfmMXEIuIZeC+8A5W3Ppd3/3QqUpqZ7nV37lxOp11qoQuVRIErmEXEIuIZeUZiR1MKzmL41QUm8W1HzWTQVyaXpaT66EQi5pES925E2teiLTBJkWN2g+4gt8a/zN6YfjBeK1yCjkUjzqUpX8uf0CcmlIgGlxrLlkTfdKXTvJmt6XXJ8qi7bP59viLrrozcotQPU8J5zw6up11qoQuVRIErmEXEIuIZeUZkSVRdagO9wWcslPvan/L5FLkQWnxbe76TJAkwu8LY63xSkRV6y5ZE/Vjckj1lya7GGJXOpfI5S3xfG2uHl/W9zv/d5Fyi1A9Ty//MsnVK+zVoXIpUKSyCXkEnIJuaQ0I8ilISUil4hcqiWJVHlF5JKP5OlfgD2+dlJuOdZcsgR1btSiJYGs7SKXlF6bNZes8S1yCbk073Lp4ot/X2tMKuc6/vhfqlxjveqQS4UskUvIJavzLU33p2hYT/h9bj6rnvASscK4Y/Xlfm9t37qErSePVvla6cgl5FJMhuTeYDItLi/iaVqi1KqHaXHtyKL4NDht2lquhCRyicilWv22NX5gzSXWXGLNpflec+ktb7m4VnOTVM+rXnV8Uv6lzIxcKqSNXEIulcojq3yuNLIkUGp6qYRCLg1vYNU/VUYxLa7+dDh3jBxX6+m/JXdypZEqoaztyzfnwSvux9sPvl8/XtNGkzFqZJGaT/49ozWO9Hq132NHQCGXkEuT0VpWG1LaRvj+JHU7VrlYevh97udYOet7NV3tZ618yCWmxcWis+y1knhbnLu+1vrb4t761i1WMzKT9Fe+csNM6q1RKXKpkCJyCblkyaHSdOTS5EVqDfbCSzo1f2GTEC2uyqLUwTNyCbmUeoPK2+J4W1xbAlkSLleqEblkRxClXrvWtGJVMiGXtJ7eGj8QuUTkEpFL8x259Ad/8FatMamc6xd/8ZWVa6xXHXKpkCVyCblUKo+s8sgl5FJfM4VcQi6l3qAil5BLyCUnftaPoxNDEbYo3ML2ZfLcCa+9WD2q9FGjFllzKS0SOHeoj1wiconIpUx5ZL09bvQWOuvtdmr6uZvPy73Mi8q9/e1vKyqfW/jlL39FbtGZl0MuFSJGLiGXLDlUmo5cQi4hlxYJpN6kleS3ylrT0lKlz/SNqnUjm5eOXEIuIZeQS+4ciLVRscimWGRtTHZZkbipD0es+gqH9FPFkUvIJeQScqmvXfnDP3x77WZHqu8XfuHlUr7lyIRcKqSOXEIulcojqzxyCbmEXEIudd0IWnJLXqOINZcGJ1ju9C9rWtm60RpQ4zWran2OrC1V/61vvC1uUcJYQpc1l9ptlSWDkEuTb9tV18KM5bNe/GKNN9V6Y9Ekav2L+Ub3EAv9Emv79snpdwtT+WP1LDTqtDU1QkbNt7iP4b5NfrbXbgp/uy/f/b21f7HtRfdjFGG0YEUipaavkcilP/qjPyw0CXnFf/7nfyGv4BKUQi4VQkYuIZfSO1OrE51MRy4hl5BLyCXk0rT8MaXOSJrZ0ogFvfvkms2vWz6x5hJrLiGX+scvqkxSx4HIpXB8jVwKZRNyqfDGPyj+jndsrVuhWNvLXnacmHPpsyGXCpkjl5BLyKXJJ2/hICi8xFIXwFTLxy5lK6y9sAmQi7Og9xCVtSBteDNSuraINbWtL90qa0UOMS1Okza5kii33LQs0fYzV7IQuTSUT3HZpPFXj7dbS2lye931s+YS0+KsDtwaP6SOZ3JlEnKJyCVVEhG5ZF3VddPf+c531K1QrO2lL32ZmHPpsyGXCpkjl5BLyCXkktKMIJeQS6mL9VryKjedNZdYc2koX7Tpbmq+8PwmconIpfBhQdhXMi2OaXHunJie5jYdgeTyLYqT7vSu6XJMixuy8hFLRC4pI3Y9z7vedYmeuWLOl7zk2Iq11a0KuVTIE7mEXEIuIZeUZgS5hFxCLsUiSLTIFXkNKVGaLB6PvO3L0qXWGkvB2lipayvJ+xtMJ8wvN7n+EJFLumyyxHFpRGcofayI0tQFu638udLJKqf0xSl5iFxiQW8W9GZB774249JL35XSpFTLe8wxL6lWV+2KkEuFRJFLyCXkEnJJaUaQS8gl5BJyyV0F1abJsaD3oFGZFjFMi7Om9CKXlF57MVImlptpcZPT1dLHwyzozYLek5FV1rS+WPq5m8/TLuqpcvffAAAgAElEQVTKuS677I8r16hVd/TRP6dlXIZcyKVC6Mgl5FJ6Z8qC3l2XnfWE0JdR8+XmL2wSosWRS8gl5BJyCbnkonc0+ZMbqabWz5pLrLlk9ffWeAO5hFxSp93F3h6HXFrdcunyyy+zmpGZpB911NEzqbdGpcilQorIJeQSconIJaUZQS4hl5BLyCXkEnJpcA74KY6Rf5kWN2wrYn+p/anSR+c89EIuIZeQS5nT5hbCRdrLPi9X5NK7370tt3kpKvfiFx9ZVH6WhZFLhXSRS8gl5BJySWlGUgfDav7UBVHV/Ln5rLU2rLU9PEsrn3VzViPdqkO9AQzrUctZ+XLTWdCbBb3ddaaupaTmY0Hv6TfiWW1ILN26tllzqV8+KX2ykofIJdZcYs2lTHm0fXTujCTSQvh5jcil97zn3UpTUj3Pi1704up11qoQuVRIErmEXEIuIZeUZkSVRaFcsepWJZBVryWFYuWtctZNkFWvVT735k0pZ+VRbwCRS/1vJYtFdFlSI7fcdL0s6N0nm6zjEF9YnAW9rTYEudQtiaz+0kq3+k01HbmEXEIuIZf62os/+ZP3qM1J1Xw/+7Mvmqjv5I0XNddcf9P4u+OOPLQ59fijxp/3Pvi4qe1vOfuU5sD99626X64y5FIhUuQScgm5hFxSmpHUwbCaH7nkb2Dr/2vdGCKX6kijXEmUWw65lCbTkEvtaWyT5/y0OJ4UalYbglxCLrXHD6HMin22vlfTY+NXv0/W+DYmXqxyi+ks6M2aS6t7zaUrrvhT5Ragep4jjviZiTqP3LCp2bZl4+C7O++6tznsmNObtjxycmlWMin8ccilwsONXEIu6Z1o2kLe1uAg7PxjgwErn5pemi9W3vo+vEStJ4ml+QubhGhxVRb5CtT8yKX6Umnw5OXBtVCsG0PkEnLJnyvu36iEGb3Vbb1fX6fWZ94WN2gueVucvYZT2JaF/YyaHuufUiNYrX7O6v+s9Fr9uDXeYM0l1lxizaXMyKY1Mi3uz/7silrNTVI9P/3TR/TmP+iIE5tXvfQFzdGHHzLIh1xKwru8mZFLyCXkEpFLSiuUOhhW8yOXkEup0Q+sucSaS70ybCTB/HlC5BKRS6nyyMqPXBoSUCOVPK9wvBn73no4aY1brXpjQsWqdzqdyCUil1Z35NJ733ulcgtQPc8LX3h4b52hTAqnxc0yionIpcLDjVxCLqV3pmkRTOqgIjdfWC72uTRfar2xS9N6khiWS81f2CREi6uyyBp0hxtALiGXkEv9EVS2HEmbJpY8Ha9WpFIY+UTk0qA5JHKJyKVZ9dvW+IHIJSKXiFya78il97//vbNqfnrrff7zXxhNd+sv3X3PF8bT5MKM51x8ebN129XNbddtncm+I5cKsSKXkEvIJSKXlGYEuTSkZE2/COVa7Am4NWWtRrpVB9PimBbXPqeZFjcp6davZ0Fvqw1JFcNW+6luL9bOWu1t7OGHFalU6yFI6sMXpW/uy4NcYkFvFvTOlEdz8ra4D3zg/aXNTFb55z3v+Z3lnFi6+ZZPNddfcWFvvbOcJodcyjqki4WQS8gl5BJySWlGkEvIpVjES+4NpiW3YulMi2NaXFfET/ytb3mRYcil9Iii1DbCkkSxtsUqp0r+XNlkSSKrv7TSlT5ZyYNcQi4hl5BLfW3FBz/4AaUpqZ7nuc993lSdqlhyBZFL1Q9JvQqRS8gl5BJySWlRUgfDav5aT4StJ8+5NxGlT8Kt8uqT+px8VhlL7uRKI/UG09o+ckmd7qbmy5Ms65gWN2g+4rJJ469OR1y3bnicFrfXXb/Lt1hn91vewjp83fFrm7fFOfa5/YklndR0pU9W8iCXkEvIJeRSX1tx1VUfVJqS6nkOO+y5E3W6t8W5P//GuHbiZVdeO/joF/dOkVA5O07kUg61VhnkEnIJuYRcUpoRVRalDp6RS6y5lCqxiFwicmkoXzRZpuYL5Q+RS0QuWf1Zav9l1af0xSl5kEvIJeQScqmvzfiLv7gqpUmplvcnf/KwcV133nVvc9gxp0/VvfOOOwymx91w4y3NhtM2T6TPar0ltxHkUuFhRi4hl5BLyCWlGUEuDSmFIiR2s2Dls6KKaqRbdViRQ6nSJ8xv1Z+bjlxCLiGXXFtE5FLqtDmrvVbTLUlk9ZdWutInK3mQS8gl5BJyqa+tuOaaq5WmpHqe5zzn0Op11qoQuVRIErmEXEIuIZeUZiR1MKzmT33yq+bPzWdNh7CkUXjTEavPEj810q06LLmDXKo73Ume5idG5IRTonIjdMKInanPTIsbXNZMi9MjmdS2JdZeWm2XVU5th1WZpPYnlnRS05U+WcmDXEIuIZeQS31txV/+5TVKU1I9z0/8xHOq11mrQuRSIUnkEnIJuYRcUpoRVRalDp5rDdotKZR7E2HJIateq7x1E1WSbpVVbwBTI5JisiK1HlnGBK+4H28/+H69/zz615IxpnRJrE/+PcilwWUV8reOFwt6D6OZJtmF024n06evSdZcavOz+rPU/suqT+mLU/Igl5BLyCXkUl+bce21H0ppUqrlPeSQZ1erq3ZFyKVCosgl5BJyCbmkNCPIpSElIpem17rJjXCy5JYsY5BLg3MzV76YEo3IpRHfSfFiLbgtn7+BTGRBbztCKpQ0VrtsPXxITbckkdVfWulKn6zkQS4hl5BLyKW+tuKv/3q4WPZS//3Yjx2y1JuUt4dcklF1Z0QuIZeQS8glpRlJHQyr+VOf/Kr5c/OpNxml+ayoohrpVh2W3MmVRkQuzXY63bRE0raXLZ+QS8ilIEqvVttiSaLYdqxysfSYFFLb87CvVPsZtZzSF6fkQS4hl5BLyKW+NuO66/4qpUmplvfgg3+8Wl21K0IuFRJFLiGXkEvIJaUZUWWR9URXHWSnDtqtm4NaNxXWE3L1psa6OauRbtWBXOp/25gZ0cO0uMHpvi5XPkWm/9Wf3qa9VS483rwtzo4gKhXQliRCLim9czwPcgm5hFxCLvW1In/zN9eVNTKZpX/0Rw/OLDn7YsilQsbIJeQScgm5pDQjyKUhJeQS0+JypzvVKkfkUlqkVm7EFnIJuWQ9LEl9CGLVp/TFKXmQS8gl5BJyqa/N+PCHr09pUqrlfdazDqpWV+2KkEuFRJFLyCXkEnJJaUaQS8gldbqbms+KnJJlDGsuDU7OXIliRmjlRibFFlT39RG51HncWHPJllpWxFMsPSZ3rMjXVIlk9ZdWutInK3mQS8gl5BJyqa+t+Nu//bDSlFTP8yM/8qzqddaqELlUSBK5hFxCLiGXlGYkdTCs5q81aLduDmrdVBC5ROSSLL2Mt76ZUkd8q52PsEEudU9/y+VC5JIteZgWN4yiC/+s/s9KV/pkJQ9yCbmEXEIu9bUVH/nIDUpTUj3PM595YPU6a1WIXCokiVxCLiGXkEtKM5I6GFbzI5fCV4XX+8yaSyOWYeSNKG1U+aPmqyWlmBbHtDjXZrsIp8Vzb/JNdtPfd6eHbUQo1Kw2BLmEXGqPH0KZFftsfa+mx8avfp+s8W1MvFjlFtNH9xAL/RJr+/ZhPl9uYSp/rJ6FVplYHeH3/Z8X98Eq539TuG+Tn0OG6mc1X7i/sXLR+haQS31j/L/7u48otwDV8/zwDz+zep21KkQuFZJELiGX9E7U6jy702OdfPh9bj6rnvASsQY/sfpyv7e2b13C1pNHq3ytdFUW+e2p+ZFL9WTS8IZzsT7rxtCallZ642jVn5s+JVeYFje47HIjdEw5xrS4Ed9JQbMoYjTZZXIeX7vDCCyrfuRSPLIq7IesyNbUdKufs/o/K71Wv22NH2Lp6vfWeMqSRLFxn1XOGrda9cYEi1XvdDpyqbYksuQXcqlW6zCs52Mf+2jdCsXanvGMA8ScS58NuVTIHLmEXErvTNMkU6yTj8macH+sfGp6ab5Yeev78BK1Bnul+QubhGjx1MGwmh+5hFxKlVjIpXD6lyY3suUTcgm5FLwZsZa4jkkgq36rHHJpSMAab6gSSR0/qbJJlUeqJLLGjbFxLpFL7Wiq/sioxWgrIpfceZkr1WLy7NzN581q+N5b79///ceWZbs/9EPPWJbtKhtFLimUevIgl5BLyCWmxSnNiCqLwkG9VTdyCbmEXOpeK0iNdGHNpX65livVWHOJNZes/iy1/7Lqs/rL1HTkEmsuseYS0+L62o2bbvr71GalSv799vuhKvXMohLkUiFV5BJyCbmEXFKaEeTSkFIoQmI3C1Y+68l8jXSrDmtaWqr0CfNb9eemE7lE5JK77lRppOYLZR5yCblkySDk0uT4icilmMxizSV17SSmxSkj8np5br75pnqVJdT09Kfvl5B7abMilwp5I5eQS8gl5JLSjCCXkEuxSJpcCYVcqjWdrVY9kQgqpsUNLv64bNL4q5Fobi2lye1118+aS6y5ZPXdRC4RuUTkEpFLfe3Exz9+s9WMzCT9aU97+kzqrVEpcqmQInIJuYRcQi4pzQhyCbmEXIrd5GtygbfFBW/vG0mr6YihbsmVH4GUN+2QyCUil4hcmhwdqJFJvpS1tlKYL3ftpNxyrLnEmkvbc98mNypnRVqp6cu15tInPvFx5Ragep6nPvVp1eusVSFyqZAkcgm5hFxCLinNCHIJuYRcQi65q2BdrUgm5NIoQmlSfhG5ZEutUPqo05Bjsijs36zPudLJKqf0xSl5iFwiconIJSKX+tqMW275REqTUi3vvvs+tVpdtStCLhUSRS4hl5BLyCWlGUEuIZeQS8gl5JITH9q0tdxINbV+psUxLc7qu5FLyCXkEnKpr5249dZbrGZkJun77LPvTOqtUSlyqZAicgm5hFxCLinNCHIJuYRcQi4hl5BLg3NgXf9bLq311GKRQVa9arlYZBORS5O9fUw+qd/nTpOzpsup6bHxq/+V1viWaXFMi5v3aXH//M+3KrcA1fN83/ftU73OWhUilwpJIpeQS1bnW5oe6+TD73PzWfWEl4g1GIrVl/u9tX3rEraePFrla6Ujl5BLyCXkEnIJuYRcWuxVeVscb4tzZ8PCQn+E1PbtvC2Ot8WF58Dk5+Vac+mTn/znWrcJSfU85Snfl5R/KTMjlwppI5eQS6XyyCqfK40sCZSaXiqhkEvDG2v1T5VRqYNzNX9uPmutDWttD8/Hyqc+oS/JZ5VVowvCetRyVr7c9KmFnX0URbiGT/D9+iDawlogWn+7Fwt6u/N+zFddk4k1lwbNxfR1oE27Y1oc0+Ks/th6OKVGKKnjJ3VcpkYmxcaPuePOsByRS0QuzXvk0u23/4vVjMwkfa+9vncm9daoFLlUSBG5hFyyOunSdOTS5EVqDfbCSzo1f2GTEC2uyqJQrlj7o0ogq15LCsXKW+WsaRhWvVZ5SwCVpFtlLbkTK6+Ws/LlpiOXwref5cktS66N01VZFJN5sfLIJeTSqAG12qpUWa9Kfqv9Tu13rPxqutVvqunW+AG5NBk9kj7eHd1DELnUhJFJ1udQ7KmfY/mi5XPfBrd9FI0WK79G3hb3r/96u9qcVM33Pd+zV9X6alaGXCqkiVxCLqV3plb472Q6cgm51NdMIZf61y5Jvelq57fKWnIHuaRJGzXCKXeBZ1sCaftp1xNKq9Fn5NJIAvlrVYssyj3eLOhtr+kUk0eWzM+VSbX6KeSSNj5UI5tYc8lFHvVPt2JBbxb07huDf/rTnyo0CXnFn/zk784ruASlkEuFkJFLyCXkEgt6K80IkUtDStYTdPWJuSV+aqRbdSCXIjJlRtPncmWDLYWQS+66i3Gy+XWfB+vXx2QScqlW22JJoth2rHJqO5wrmyxJZPWXVrrSJyt5iFzibXHIJeRSX1vxmc98WmlKqud50pOeXL3OWhUilwpJIpeQS8gl5JLSjKQOhtX8tZ4IW9Pbcm8iSp+EW+Wtm7SSdKsscgm51BamUQlD5NKg+YjLJk3uqRFuRC4RuaT0yUoe5BJyCbmEXOprK+644zNKU1I9z557Pql6nbUqRC4VkkQuIZeQS8glpRlRZZH1RDfcFnKJaXGp0+9Yc4k1l/oilUKJQ+RSW9ZMnjvhtRcKNEtQp167VuSnuj0il5Ree3Gx5lhu1lxizaX42khezIXrSk1+VtdK4m1xK/NtcZ/97P/VGpPKuZ74xP9TucZ61SGXClkil5BLyCXkktKMIJeGlKybo9hNj3UzpN5UpeSz8hK5RORS+5wmcmkyAolpcXYEEXKp+y2qVn9ppSt9spKHyCUil4hcInKpr624887PKk1J9Tx77PHE6nXWqhC5VEgSuYRcQi4hl5RmJHUwrOYnconIpdQbVCKXiFwicsmJn/Vj2R2LOFr8fnL9qPg1p+WrJa5zpbtVTpX8YT71cyyf9b2arvTJSh7kEnIJuYRc6msr/t//+3elKame5zu/8wnV66xVIXKpkCRyCbmEXEIuKc2IKotSB8/IJeQScqk/gsqe1qWt+WPXw9vi2tKKyCUil6z+LLX/supT+uKUPMgl5BJyCbnU12bcffddKU1Ktby77bZ7tbpqV4RcKiSKXEIuIZeQS0ozglwaUmJa3PRbuVLlUGxh4+n1X7rXhyFyiciltgSKnU/+PMmVasgl5JIlg5BLk+OnUGbFPlvfq+mx8as/btb4NiZerHKL6eF6RDGZFa63E+aL1bPQqGsixfN1rytlr5XEmkvuPNq+EJFTo+9V7hbvczefpwzFq+e5557/qF6nUuGuu36Hkm1Z8iCXCrEjl5BLeifa/wQotZMPO//YYMDKp6aX5ouVt74PL1HrSWJp/sImIVocuYRcUqWQms9a8ymWjlxCLiGXmBbXJfvDfir1YUBMJqVKJKu/tNJr9ePWeIMFvVnQW5VXCwvdssmSJrH02uWi9cXk0PbR78lNXyNy6d5776nV3CTVs8suuyblX8rMyKVC2sgl5BJyicglpRlJHQyr+WsN2mM3FeFvs/Kp6aX5rDVLaqRbdVhyJzciCbmkTVOzIm70dG17uRE869YPZdb6daMpnLU+j+oJf2dsP3P3P7/c5PpD8Ugmjb96PN1aSkN5Njlldvp6Zc2lWBsVSiK1vUYuDQmo0kmNVAofwqmRSbFy1rhVLUfk0uKxnpYzRC4NroU1Hrn0+c9/TrkFqJ7ncY97fPU6a1WIXCokiVxCLlmddGm6OqjIzReWi30uzZdab+zStJ4khuVS8xc2CdHiqiyKDc5jFSOXWHMpVWIRuUTk0lC+aGtVqfmmJRdyyRLUqdeuFUmkbi8mj4hcmuxprfGDKpHU8ZMqm5BLTIsjcmkyam65psV94Qv3zeq2obfenXbaeVm2q2wUuaRQEvLc/YWvCrnIAoH5IfCIhz2kedTDH9Lc/6Wvz8+P5pdCQCDgIioev8PDm3u++DUhN1kgMF8Edt3xkc3nvvjVZjSLZL5+PL8WAj0EdnzMw5qvfO2bzde+Mbyx5g8CEBgS2G2nRy4Lii9+8f5l2e5jH7vjsmxX2ShySaFEHghAAAIQgAAEIAABCEAAAhCAAAQg8CCB//zPLy4Lh2//9scuy3aVjSKXFErkgQAEIAABCEAAAhCAAAQgAAEIQAACDxL4r/96YFk4fNu37bAs21U2ilxSKJEHAhCAAAQgAAEIQAACEIAABCAAAQg8SODLX/7SsnB49KMfsyzbVTaKXFIokQcCEIAABCAAAQhAAAIQgAAEIAABCDxI4L//+8vLwuFbv/XRy7JdZaPIJYVSJM/JGy9qrrn+pkHqPnvt2WzbsrGgNopCYPUROHLDpma/H9irOfX4oyZ2/rIrr23OvOCS8Xe3Xbd1Iv2gI05s7rt/GEp63JGHTpVffSTYYwgMCbT7ha7z27o26Fc4k9YqgRtuvKXZcNrm8c8Lx0133nVvc9gxp4/Tt5x9SnPg/vuOP1vXzlrlxu+aLwL+PA/P/75xE9fGfJ0j/NqVQ+CrX/3KsuzMIx/5qGXZrrJR5JJCqSOPa8jf8s73NddfceEgNXaTnVk9xSCwogm0b4BDOeRvEK669Kxmj913ac65+PLmpn+8fSxfXVn3d/6mEwb/7n3wcU04iFrRP56dg0APAdcX+AcN/lrw57d1bdCvcGqtZQKuLzjgB/ceCyN3rey2607jvsDdPL/qpS9ojj78kMaLKP9gwrp21jI3ftv8EPB9gHv41h4X9Y2buDbm5/zgl648Av/zP8vz1t+HP/wREzBKH2zWJItcyqQZyqTwpiCzWopBYFURcDcDz3v2ARORR6FMCgc+oUwKB02rCgA7CwGDQPuG2bo26Fc4neaJQPt6CGWS45By7cwTN37r2iTgroHXv+ltg4fW4Tipb9xk9Strkxa/CgIrg8A3vvH1ZdmRhz70YRPbLXmwWfsHIJcyibYHPa6KroFRZtUUg8CqIdAll7pkkR8Y7bH74wfTHnxUk/uh4cBo1fx4dhQCAoH2TUHfteGm/9CvCEDJsmYIuPP96ft+9yByqesBXVu2WtfOmoHCD5lLAuE9RLvfCB/QheMmro25PGX40SuEwDe/+Y1l2ZNv+ZaH9m53OR/OIJcyTwnX8J9x0rGD8O22XGrfNGdWTTEIrBoCXXIpnOrgfoy/Xp6w2+MHa26EcukDH/roeIrpqvnx7CgEDAJu0H/3PV8YT5PruzZcX0K/wik1DwTcdXDr7XdMrFXpHjKE/UD7erGunXngxm9cmwS65FFbLnnxFBs3cW2szfOCX7U6CCws/O+y7Oj69Q/p3W7Kg83aPwC5lEmUJ8yZ4Ci2pggQubSmDic/piIBJ5ZuvuVTE9LUesJMv1LxAFDViifQlq9ELq34w8UOzohAuBh3ezPuIfaP/NA+vRHfVr8yo92mWghAYIUSSH2wWftnIJcyibI2RiY4iq0pAqy5tKYOJz+mEoEuseSqttbGoF+pdACoZlUQaAsl1lxaFYeMnVwiAqy5tESg2QwE1hiBnAebtREglzKJ8lafTHAUW1MEuuSS9eYS3ha3pk4BfkxAwAki9+ffGNdOtq4N+hVOp7VMoL3gqPud4bXC2+LW8tHnt6UQsF580rcmE+tYppAmLwTWDoHcB5u1CSCXCoi2X/u3z157dt5MFFRPUQisWALhKy/djvpXRrv/h2He7TSX7m4i3Kt23d9xRx468ba5Ffuj2TEIGAS8PAqz7bzjDuPpcda1Qb/CabZWCbib3q3brh7/vHDcFF4/7VexK/3KWuXG75o/AqFcssZNVr8yfwT5xRCYLwIlDzZrk0Iu1SZKfRCAAAQgAAEIQAACEIAABCAAAQhAYIYEajzYrLl7yKWaNKkLAhCAAAQgAAEIQAACEIAABCAAAQjMGQHk0pwdcH4uBCAAAQhAAAIQgAAEIAABCEAAAhCoSQC5VJMmdUEAAhCAAAQgAAEIQAACEIAABCAAgTkjgFyaswPOz4UABCAAAQhAAAIQgAAEIAABCEAAAjUJIJdq0qQuCEAAAhCAAAQgAAEIQAACEIAABCAwZwSQS3N2wPm5EIAABCAAAQhAAAIQgAAEIAABCECgJgHkUk2a1AUBCEAAAhCAAAQgAAEIQAACEIAABOaMAHJpzg44PxcCEIAABCAAAQhAAAIQgAAEIAABCNQkgFyqSZO6IAABCEAAAhCAAAQgAAEIQAACEIDAnBFALs3ZAefnQgACEIAABCAAAQhAAAIQgAAEIACBmgSQSzVpUhcEIAABCEAAAhCAAAQgAAEIQAACEJgzAsilOTvg/FwIQAACEIAABCAAAQhAAAIQgAAEIFCTAHKpJk3qggAEIAABCEAAAhCAAAQgAAEIQAACc0YAuTRnB5yfCwEIQAACEIAABCAAAQhAAAIQgAAEahJALtWkSV0QgAAEIAABCEAAAhCAAAQgAAEIQGDOCCCX5uyA83MhAAEIQAACEIAABCAAAQhAAAIQgEBNAsilmjSpCwIQgAAEIACBuSWw98HHNWecdGxz9OGHzC0DfjgEIAABCEAAAvNJALk0n8edXw0BCEAAAhBYEgKXXXltc+YFl0xt67gjD21OPf6owfd33nVvc9gxp696MYNcWpJTio1AAAIQgAAEILACCSCXVuBBYZcgAAEIQAACa4WAl0u3Xbd1/JNuuPGWZsNpm1e9TAqPEXJprZy1/A4IQAACEIAABFIJIJdSiZEfAhCAAAQgAAGZQJdccoVDERP7/JZ3vq+57/4HBttrRzt17YCXVlvOPmUgr/yf+3zg/vsOPp688aLm7nu+0GzbsnGcfs7Flzcf+NBHm+uvuHDwnf/8vGcf0GzddvU4nxNkrvw11980+G7nHXcYl2n/pnakVtc+u9/q/2J1+N8dpsvgyQgBCEAAAhCAAASWkAByaQlhsykIQAACEIDAvBHokktd33XJJcfqqkvPavbYfZemLY68KApZ+jxtIeNEkRNEPnJKlUuuTFsMHXTEiQPJ1V5TyX3nBJSf3uelkd9W1z6HvzPcH1+H/93zdr7weyEAAQhAAAIQWJ0EkEur87ix1xCAAAQgAIFVQSC25lIsYscvht01xczJnFe99AXRBbO9zGmLGb+ek/9OlUvtSCYHuquc+879nb/phMG/Xft85IZNzW677jTI40TX3ffcN87vyoT7x9S6VXFas5MQgAAEIAABCAQEkEucEhCAAAQgAAEIzIxAbFqcn17mo3ysaXJuB8NIoXCn++SSnxpXWy61p9h1iaH29pxouvX2OzpZ+/1DLs3sVKRiCEAAAhCAAARmSAC5NEO4VA0BCEAAAhCYdwIxueQjdmJSJRa51J6Gthrlko9iip0XyKV5v2L4/RCAAAQgAIHVSQC5tDqPG3sNAQhAAAIQWBUEVppcclPTbvrH26UFvf0C3w50bFqcFbnkopX2+4G9BusyhQuHdx1A5NKqOK3ZSQhAAAIQgAAEAgLIJU4JCEAAAhCAAARmRiAml5x0uefz94/ftrZU0+L8/vg1mHwEVbgIuLrmUp9cim3rOQftN7HukmNxzkReiUQAAATCSURBVG+8arBwOXJpZqciFUMAAhCAAAQgMEMCyKUZwqVqCEAAAhCAwLwTiC3ovc9ee05EDy2VXHLHw6/35P7vpJKbateWSV0RRmrkkqvPvVXO/3W99c2/Ec7nabNALs37FcPvhwAEIAABCKxOAsil1Xnc2GsIQAACEIAABCAAAQhAAAIQgAAEILAiCCCXVsRhYCcgAAEIQAACEIAABCAAAQhAAAIQgMDqJIBcWp3Hjb2GAAQgAAEIQAACEIAABCAAAQhAAAIrggByaUUcBnYCAhCAAAQgAAEIQAACEIAABCAAAQisTgLIpdV53NhrCEAAAhCAAAQgAAEIQAACEIAABCCwIgggl1bEYWAnIAABCEAAAhCAAAQgAAEIQAACEIDA6iSAXFqdx429hgAEIAABCEAAAhCAAAQgAAEIQAACK4IAcmlFHAZ2AgIQgAAEIAABCEAAAhCAAAQgAAEIrE4CyKXVedzYawhAAAIQgAAEIAABCEAAAhCAAAQgsCIIIJdWxGFgJyAAAQhAAAIQgAAEIAABCEAAAhCAwOokgFxanceNvYYABCAAAQhAAAIQgAAEIAABCEAAAiuCAHJpRRwGdgICEIAABCAAAQhAAAIQgAAEIAABCKxOAsil1Xnc2GsIQAACEIAABCAAAQhAAAIQgAAEILAiCCCXVsRhYCcgAAEIQAACEIAABCAAAQhAAAIQgMDqJIBcWp3Hjb2GAAQgAAEIQAACEIAABCAAAQhAAAIrggByaUUcBnYCAhCAAAQgAAEIQAACEIAABCAAAQisTgLIpdV53NhrCEAAAhCAAAQgAAEIQAACEIAABCCwIgggl1bEYWAnIAABCEAAAhCAAAQgAAEIQAACEIDA6iSAXFqdx429hgAEIAABCEAAAhCAAAQgAAEIQAACK4IAcmlFHAZ2AgIQgAAEIAABCEAAAhCAAAQgAAEIrE4CyKXVedzYawhAAAIQgAAEIAABCEAAAhCAAAQgsCIIIJdWxGFgJyAAAQhAAAIQgAAEIAABCEAAAhCAwOokgFxanceNvYYABCAAAQhAAAIQgAAEIAABCEAAAiuCAHJpRRwGdgICEIAABCAAAQhAAAIQgAAEIAABCKxOAsil1Xnc2GsIQAACEIDA/2/HjmkAAAAQhvl3jY2R1AEp3wgQIECAAAECBAgQSAiIS4kbjCBAgAABAgQIECBAgAABAgQIfAqIS5+/WU2AAAECBAgQIECAAAECBAgQSAiIS4kbjCBAgAABAgQIECBAgAABAgQIfAqIS5+/WU2AAAECBAgQIECAAAECBAgQSAiIS4kbjCBAgAABAgQIECBAgAABAgQIfAqIS5+/WU2AAAECBAgQIECAAAECBAgQSAiIS4kbjCBAgAABAgQIECBAgAABAgQIfAqIS5+/WU2AAAECBAgQIECAAAECBAgQSAiIS4kbjCBAgAABAgQIECBAgAABAgQIfAqIS5+/WU2AAAECBAgQIECAAAECBAgQSAiIS4kbjCBAgAABAgQIECBAgAABAgQIfAqIS5+/WU2AAAECBAgQIECAAAECBAgQSAiIS4kbjCBAgAABAgQIECBAgAABAgQIfAqIS5+/WU2AAAECBAgQIECAAAECBAgQSAgMYwLF+ARo8yMAAAAASUVORK5CYII=",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Show as heatmap\n",
"bio.system_heatmaps(title_prefix=\"Low-frequency component of the Initial System State\")"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "b8ef9038-c680-437b-9629-e1cdb192275d",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "markdown",
"id": "2ba3f95a-2d63-4a11-a150-c5f1ea4a7716",
"metadata": {},
"source": [
"## PART 2 (of 3) of Initial Preparation -\n",
"### Now add a higher-frequency component (10 cycles over the length of the system)"
]
},
{
"cell_type": "code",
"execution_count": 10,
"id": "28e46cc9-4ddf-4d9c-8ab2-20c08bb3106e",
"metadata": {},
"outputs": [],
"source": [
"bio.inject_sine_conc(chem_label=\"A\", amplitude=4, bias=0, number_cycles=10)"
]
},
{
"cell_type": "code",
"execution_count": 11,
"id": "0483b0e2-f4e3-4947-8d9e-a1c070251d03",
"metadata": {
"tags": []
},
"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": [
0,
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"zerolinewidth": 2
}
}
},
"title": {
"text": "Low- and mid-frequency components of the Initial System State
System snapshot at time t=0"
},
"xaxis": {
"anchor": "y",
"autorange": true,
"domain": [
0,
1
],
"range": [
-0.5,
499.5
],
"title": {
"text": "Bin number"
}
},
"yaxis": {
"anchor": "x",
"autorange": true,
"domain": [
0,
1
],
"range": [
-0.5,
0.5
],
"type": "category"
}
}
},
"image/png": 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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"bio.visualize_system(title_prefix=\"Low- and mid-frequency components of the Initial System State\", \n",
" show=True)\n",
"\n",
"bio.system_heatmaps(title_prefix=\"Low- and mid-frequency components of the Initial System State\")"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "afc7d6de-18c5-4409-b1ce-26d9e8cbc99c",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "markdown",
"id": "5693fcf2-f869-489d-a7d7-271786c66a65",
"metadata": {},
"source": [
"## PART 3 (of 3) of Initial Preparation -\n",
"### To complete the preparation of a 3-frequency component initial state, add another, even higher, frequency component \n",
"#### (40 cycles over the length of the system)"
]
},
{
"cell_type": "code",
"execution_count": 12,
"id": "4dd7c085-42e9-44ae-8a08-9cb563793528",
"metadata": {},
"outputs": [],
"source": [
"bio.inject_sine_conc(chem_label=\"A\", amplitude=2, bias=0, number_cycles=40)"
]
},
{
"cell_type": "code",
"execution_count": 13,
"id": "239717a9-df12-41f6-9135-9daea797ee42",
"metadata": {
"tags": []
},
"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,
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"linecolor": "white",
"ticks": ""
}
},
"title": {
"x": 0.05
},
"xaxis": {
"automargin": true,
"gridcolor": "white",
"linecolor": "white",
"ticks": "",
"title": {
"standoff": 15
},
"zerolinecolor": "white",
"zerolinewidth": 2
},
"yaxis": {
"automargin": true,
"gridcolor": "white",
"linecolor": "white",
"ticks": "",
"title": {
"standoff": 15
},
"zerolinecolor": "white",
"zerolinewidth": 2
}
}
},
"title": {
"text": "Initial System State with 3 superposed frequencies
System snapshot at time t=0"
},
"xaxis": {
"anchor": "y",
"autorange": true,
"domain": [
0,
1
],
"range": [
-0.5,
499.5
],
"title": {
"text": "Bin number"
}
},
"yaxis": {
"anchor": "x",
"autorange": true,
"domain": [
0,
1
],
"range": [
-0.5,
0.5
],
"type": "category"
}
}
},
"image/png": 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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"bio.visualize_system(title_prefix=\"Initial System State with 3 superposed frequencies\", \n",
" show=True)\n",
"\n",
"bio.system_heatmaps(title_prefix=\"Initial System State with 3 superposed frequencies\")"
]
},
{
"cell_type": "code",
"execution_count": 14,
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"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"bio.diffuse(total_duration=10, time_step=0.1)\n",
"\n",
"bio.visualize_system(title_prefix=\"Diffusion\") # Show as a line plot"
]
},
{
"cell_type": "markdown",
"id": "850c0d60-d25a-4721-bfec-e03419f2757d",
"metadata": {},
"source": [
"### After the initial diffusion (at t=10), the highest frequency is largely gone"
]
},
{
"cell_type": "code",
"execution_count": 16,
"id": "398588e7-2066-4171-b95c-089b83126034",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" Frequency | \n",
" Relative Amplitude | \n",
"
\n",
" \n",
" \n",
" \n",
" | 0 | \n",
" 0.0 | \n",
" 3.002048 | \n",
"
\n",
" \n",
" | 1 | \n",
" 1.0 | \n",
" 1.000000 | \n",
"
\n",
" \n",
" | 2 | \n",
" 2.0 | \n",
" 0.000214 | \n",
"
\n",
" \n",
" | 3 | \n",
" 3.0 | \n",
" 0.000321 | \n",
"
\n",
" \n",
" | 4 | \n",
" 4.0 | \n",
" 0.000426 | \n",
"
\n",
" \n",
" | ... | \n",
" ... | \n",
" ... | \n",
"
\n",
" \n",
" | 246 | \n",
" 246.0 | \n",
" 0.001063 | \n",
"
\n",
" \n",
" | 247 | \n",
" 247.0 | \n",
" 0.001063 | \n",
"
\n",
" \n",
" | 248 | \n",
" 248.0 | \n",
" 0.001063 | \n",
"
\n",
" \n",
" | 249 | \n",
" 249.0 | \n",
" 0.001062 | \n",
"
\n",
" \n",
" | 250 | \n",
" 250.0 | \n",
" 0.001062 | \n",
"
\n",
" \n",
"
\n",
"
251 rows × 2 columns
\n",
"
\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" Frequency | \n",
" Relative Amplitude | \n",
"
\n",
" \n",
" \n",
" \n",
" | 0 | \n",
" 0.0 | \n",
" 3.002048 | \n",
"
\n",
" \n",
" | 1 | \n",
" 1.0 | \n",
" 1.000000 | \n",
"
\n",
" \n",
" | 10 | \n",
" 10.0 | \n",
" 0.370945 | \n",
"
\n",
" \n",
" | 40 | \n",
" 40.0 | \n",
" 0.060187 | \n",
"
\n",
" \n",
"
\n",
"
[A]=%{y}",
"legendgroup": "",
"line": {
"color": "darkturquoise",
"dash": "solid"
},
"marker": {
"symbol": "circle"
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"mode": "lines",
"name": "",
"orientation": "v",
"showlegend": false,
"type": "scatter",
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""
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}
],
"source": [
"# Advance the diffusion\n",
"bio.diffuse(total_duration=20, time_step=0.1)\n",
"\n",
"# Show as a line plot\n",
"bio.visualize_system(title_prefix=\"Diffusion\")"
]
},
{
"cell_type": "markdown",
"id": "ce8552cf-81bd-489b-9517-de3e7c66ea4a",
"metadata": {},
"source": [
"### After additional diffusion (at t=30), the highest frequency (40 cycles) can no longer be visually detected.\n",
"#### The 2 lower frequency are still recognizable\n",
"#### The 40-cycle frequency is not even among the largest of the tiny values in the spurious frequencies of the distorted signal"
]
},
{
"cell_type": "code",
"execution_count": 19,
"id": "2ae088e8-0d6f-4b90-aba8-17ed3bed9374",
"metadata": {},
"outputs": [
{
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" Frequency | \n",
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\n",
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" | 0 | \n",
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""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Advance the diffusion\n",
"bio.diffuse(total_duration=90, time_step=0.1)\n",
"\n",
"# Show as a line plot\n",
"bio.visualize_system(title_prefix=\"Diffusion\")"
]
},
{
"cell_type": "markdown",
"id": "78ffd44e-132d-47ca-9ebb-994e54feb13f",
"metadata": {},
"source": [
"### By now (at t=120), even the middle frequency (10 cycles) is notably attenuated"
]
},
{
"cell_type": "code",
"execution_count": 21,
"id": "08ad2591-0047-4607-87ee-de3235f31922",
"metadata": {},
"outputs": [
{
"data": {
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"\n",
"\n",
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\n",
" \n",
" \n",
" | \n",
" Frequency | \n",
" Relative Amplitude | \n",
"
\n",
" \n",
" \n",
" \n",
" | 0 | \n",
" 0.0 | \n",
" 3.022429 | \n",
"
\n",
" \n",
" | 1 | \n",
" 1.0 | \n",
" 1.000000 | \n",
"
\n",
" \n",
" | 10 | \n",
" 10.0 | \n",
" 0.169929 | \n",
"
\n",
" \n",
"
\n",
"
[A]=%{y}",
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"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Advance the diffusion\n",
"bio.diffuse(total_duration=100, time_step=0.1)\n",
"\n",
"# Show as a line plot\n",
"bio.visualize_system(title_prefix=\"Diffusion\")"
]
},
{
"cell_type": "markdown",
"id": "cdbe46dc-fa6e-414c-8fcc-679ef0f90fc2",
"metadata": {},
"source": [
"### With still more diffusion (at t=220), the middle frequency is only weakly visible"
]
},
{
"cell_type": "code",
"execution_count": 23,
"id": "3bb946d3-b421-4be0-bb74-938e64299075",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" Frequency | \n",
" Relative Amplitude | \n",
"
\n",
" \n",
" \n",
" \n",
" | 0 | \n",
" 0.0 | \n",
" 3.040431 | \n",
"
\n",
" \n",
" | 1 | \n",
" 1.0 | \n",
" 1.000000 | \n",
"
\n",
" \n",
" | 10 | \n",
" 10.0 | \n",
" 0.091228 | \n",
"
\n",
" \n",
"
\n",
"
[A]=%{y}",
"legendgroup": "",
"line": {
"color": "darkturquoise",
"dash": "solid"
},
"marker": {
"symbol": "circle"
},
"mode": "lines",
"name": "",
"orientation": "v",
"showlegend": false,
"type": "scatter",
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"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Advance the diffusion\n",
"bio.diffuse(total_duration=180, time_step=0.1)\n",
"\n",
"# Show as a line plot\n",
"bio.visualize_system(title_prefix=\"Diffusion\")"
]
},
{
"cell_type": "markdown",
"id": "78c538c2-6f5e-4e9b-96e9-fe972e7cac1e",
"metadata": {},
"source": [
"### By t=400, the middle frequency is barely noticeable. The low frequency (1 cycle) is still prominent"
]
},
{
"cell_type": "code",
"execution_count": 25,
"id": "868eaeef-9787-4fb8-a075-aefdb8e9855e",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" Frequency | \n",
" Relative Amplitude | \n",
"
\n",
" \n",
" \n",
" \n",
" | 0 | \n",
" 0.0 | \n",
" 3.073257 | \n",
"
\n",
" \n",
" | 1 | \n",
" 1.0 | \n",
" 1.000000 | \n",
"
\n",
" \n",
" | 10 | \n",
" 10.0 | \n",
" 0.040847 | \n",
"
\n",
" \n",
"
\n",
"
[A]=%{y}",
"legendgroup": "",
"line": {
"color": "darkturquoise",
"dash": "solid"
},
"marker": {
"symbol": "circle"
},
"mode": "lines",
"name": "",
"orientation": "v",
"showlegend": false,
"type": "scatter",
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"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Advance the diffusion\n",
"bio.diffuse(total_duration=600, time_step=0.3)\n",
"\n",
"# Show as a line plot\n",
"bio.visualize_system(title_prefix=\"Diffusion\")"
]
},
{
"cell_type": "markdown",
"id": "d62bd9ad-0d9a-412c-8c56-49b2b16fece9",
"metadata": {},
"source": [
"### By t=1,000 there's no visual indication of the middle frequency (f=10)"
]
},
{
"cell_type": "code",
"execution_count": 27,
"id": "1e0ba225-ef9d-464c-89d3-f262498ccb67",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" Frequency | \n",
" Relative Amplitude | \n",
"
\n",
" \n",
" \n",
" \n",
" | 0 | \n",
" 0.0 | \n",
" 3.184159 | \n",
"
\n",
" \n",
" | 1 | \n",
" 1.0 | \n",
" 1.000000 | \n",
"
\n",
" \n",
" | 4 | \n",
" 4.0 | \n",
" 0.045772 | \n",
"
\n",
" \n",
" | 5 | \n",
" 5.0 | \n",
" 0.044181 | \n",
"
\n",
" \n",
" | 3 | \n",
" 3.0 | \n",
" 0.043093 | \n",
"
\n",
" \n",
" | 6 | \n",
" 6.0 | \n",
" 0.040484 | \n",
"
\n",
" \n",
" | 7 | \n",
" 7.0 | \n",
" 0.036275 | \n",
"
\n",
" \n",
" | 2 | \n",
" 2.0 | \n",
" 0.034303 | \n",
"
\n",
" \n",
" | 8 | \n",
" 8.0 | \n",
" 0.032375 | \n",
"
\n",
" \n",
" | 9 | \n",
" 9.0 | \n",
" 0.029048 | \n",
"
\n",
" \n",
"
\n",
"
[A]=%{y}",
"legendgroup": "",
"line": {
"color": "darkturquoise",
"dash": "solid"
},
"marker": {
"symbol": "circle"
},
"mode": "lines",
"name": "",
"orientation": "v",
"showlegend": false,
"type": "scatter",
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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Advance the diffusion\n",
"bio.diffuse(total_duration=8000, time_step=.5)\n",
"\n",
"# Show as a line plot\n",
"bio.visualize_system(title_prefix=\"Diffusion\")"
]
},
{
"cell_type": "markdown",
"id": "a0fc7fcb-ea93-4d25-8466-7d5aeeb1b1df",
"metadata": {},
"source": [
"### By t=9,000 even the lowest frequency has lost a major part of its sinusoidal shape"
]
},
{
"cell_type": "code",
"execution_count": 29,
"id": "3d28ddbf-5623-435a-92b9-f840c7b4a917",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" Frequency | \n",
" Relative Amplitude | \n",
"
\n",
" \n",
" \n",
" \n",
" | 0 | \n",
" 0.0 | \n",
" 4.456851 | \n",
"
\n",
" \n",
" | 1 | \n",
" 1.0 | \n",
" 1.000000 | \n",
"
\n",
" \n",
"
\n",
"
[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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""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Advance the diffusion\n",
"bio.diffuse(total_duration=91000, time_step=.5)\n",
"\n",
"# Show as a line plot\n",
"bio.visualize_system(title_prefix=\"Diffusion\")"
]
},
{
"cell_type": "code",
"execution_count": 31,
"id": "7aee4f2b-1b07-44cd-a2c8-3d4b1d270e56",
"metadata": {},
"outputs": [
{
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",
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""
]
},
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"output_type": "display_data"
},
{
"data": {
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"config": {
"plotlyServerURL": "https://plot.ly"
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"data": [
{
"colorbar": {
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"title": {
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"x": 1.02,
"y": 0.5
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"colorscale": [
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0.9090909090909091,
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[
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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",
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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Show as a line plot\n",
"bio.visualize_system(title_prefix=\"Diffusion\", show=True)\n",
"\n",
"bio.system_heatmaps(title_prefix=\"Diffusion\")"
]
},
{
"cell_type": "markdown",
"id": "875d79c6-027d-45ff-b542-b9510115e6e9",
"metadata": {},
"source": [
"### By t=200,000 the system is getting close to equilibrium about the value 30, which was the original \"bias\" (unvarying component) of the baseline frequency; the higher-frequency signals didn't have any bias"
]
},
{
"cell_type": "code",
"execution_count": 34,
"id": "0c2bc34a-381c-44ea-9c85-6b1b9b0474c1",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" Frequency | \n",
" Relative Amplitude | \n",
"
\n",
" \n",
" \n",
" \n",
" | 0 | \n",
" 0.0 | \n",
" 208.747593 | \n",
"
\n",
" \n",
" | 1 | \n",
" 1.0 | \n",
" 1.000000 | \n",
"
\n",
" \n",
"
\n",
"